hp_4MOST_coverage.ipynb

{
 "cells": [
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "import numpy as np\nimport pandas as pd\nimport healpy as hp\nfrom opsimsummary import PointingTree",
   "execution_count": 1,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "%matplotlib inline\nimport matplotlib.pyplot as plt",
   "execution_count": 2,
   "outputs": []
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "##  4MOST "
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "df = pd.read_csv('../data/4MOST_healpix.csv')",
   "execution_count": 3,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "df.numVisits = df.numVisits.astype(np.int)",
   "execution_count": 4,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "# Repeat pointings so that a pointing with 3 visits now appears in 3 rows\ndfrep = df.loc[np.repeat(df.index.values,df.numVisits)]\n#dfrep = df\ndfrep['obsHistID'] = np.arange(len(dfrep))\ndfrep.set_index('obsHistID', inplace=True)\ndel dfrep['numVisits']",
   "execution_count": 5,
   "outputs": [
    {
     "output_type": "stream",
     "text": "/Users/rbiswas/soft/mypython3/lib/python3.6/site-packages/ipykernel_launcher.py:4: SettingWithCopyWarning: \nA value is trying to be set on a copy of a slice from a DataFrame.\nTry using .loc[row_indexer,col_indexer] = value instead\n\nSee the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n  after removing the cwd from sys.path.\n",
     "name": "stderr"
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "dfrep.head()",
   "execution_count": 6,
   "outputs": [
    {
     "output_type": "execute_result",
     "execution_count": 6,
     "data": {
      "text/plain": "                hid    FieldRA   FieldDEC\nobsHistID                                \n0          529587.0  79.435065 -68.968333\n1          529587.0  79.435065 -68.968333\n2          529587.0  79.435065 -68.968333\n3          529453.0  84.325123 -70.444529\n4          529453.0  84.325123 -70.444529",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>hid</th>\n      <th>FieldRA</th>\n      <th>FieldDEC</th>\n    </tr>\n    <tr>\n      <th>obsHistID</th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>529587.0</td>\n      <td>79.435065</td>\n      <td>-68.968333</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>529587.0</td>\n      <td>79.435065</td>\n      <td>-68.968333</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>529587.0</td>\n      <td>79.435065</td>\n      <td>-68.968333</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>529453.0</td>\n      <td>84.325123</td>\n      <td>-70.444529</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>529453.0</td>\n      <td>84.325123</td>\n      <td>-70.444529</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "### Angular size of 4MOST focal plance in Radians"
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "Area = 4.1 \nangular_deg = (Area / np.pi )**0.5\nangular_sep = np.radians(angular_deg)",
   "execution_count": 7,
   "outputs": []
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "##  Number of Visits to healpixels by 4MOST"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Here we look at the position of healpixels visited by the 4MOST pointings"
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "pts = dfrep[['FieldRA', 'FieldDEC']].apply(np.radians)",
   "execution_count": 8,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "ptree = PointingTree(pts, raCol='FieldRA', decCol='FieldDEC')",
   "execution_count": 9,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "NSIDE = 256\nipix  = np.arange(hp.nside2npix(NSIDE))\nhpix_ra, hpix_dec = hp.pix2ang(ipix=ipix, nside=NSIDE, nest=True, lonlat=True)\nX = np.zeros(shape=(len(hpix_ra), 2))\nX[:, 0] = np.radians(hpix_dec)\nX[:, 1]= np.radians(hpix_ra)",
   "execution_count": 10,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "counts = ptree.tree.query_radius(X, angular_sep, count_only=True)",
   "execution_count": 11,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "print('max num visits is {}'.format(counts.max()))",
   "execution_count": 12,
   "outputs": [
    {
     "output_type": "stream",
     "text": "max num visits is 193\n",
     "name": "stdout"
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "###  Visualize these"
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "# First do a simple scatter plot of 4MOST pointings\nfig, ax = plt.subplots()\nax.plot(df.FieldRA, df.FieldDEC, '.')",
   "execution_count": 13,
   "outputs": [
    {
     "output_type": "execute_result",
     "execution_count": 13,
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x10c33e3c8>]"
     },
     "metadata": {}
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "scrolled": true,
    "trusted": true
   },
   "cell_type": "code",
   "source": "# Healpix plot of number of visits\ndisplay_counts = np.ones(hp.nside2npix(NSIDE)) * hp.UNSEEN\nvals = np.zeros(len(counts))\nvals[counts>1] = 1 \ndisplay_counts[ipix] = counts\nhp.mollview(display_counts, nest=True)\nhp.mollview(vals, nest=True)",
   "execution_count": 14,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 612x388.8 with 2 Axes>",
      "image/png": "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\n"
     },
     "metadata": {}
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 612x388.8 with 2 Axes>",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Because the 4MOST pointings are on a grid, and are not randomly dithered, there are small gaps and some areas get a lot of pointings. The gaps could also be an artifact of using the healpixel locations which is an approximation. So we will do this slightly differently."
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Which healpixels have any overlap (not just the centre)  with the 4MOST pointings"
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "vec = hp.ang2vec(dfrep.FieldRA, dfrep.FieldDEC, lonlat=True)\n#df['X'] = vec[:, 0]\n#df['Y'] = vec[:, 1]\n#df['Z'] = vec[:, 2]",
   "execution_count": 15,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "NSIDE = 256\nhps = np.concatenate(list(hp.query_disc(NSIDE, v, angular_sep, inclusive=True, nest=True, fact=16) for v in vec))",
   "execution_count": 16,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "hps_counts = np.bincount(hps)\nnumvisits_disp = np.zeros(hp.nside2npix(NSIDE))\nnumvisits_disp[:len(hps_counts)] = hps_counts",
   "execution_count": 17,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "hp.mollview(numvisits_disp, nest=True)",
   "execution_count": 18,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 612x388.8 with 2 Axes>",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Agian, if we just want to know if the location was visited, we can use a threshold. This shows that the left out pixels in the previous method (the purple) were likely an artifact."
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "numvisits_disp[numvisits_disp > 5] = 5",
   "execution_count": 19,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "hp.mollview(numvisits_disp, nest=True)",
   "execution_count": 20,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 612x388.8 with 2 Axes>",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoYAAAFzCAYAAACjPchOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAIABJREFUeJzt3X/QLNld1/Hvee7KShT4JywhETArF4uwW7kWLBZgzBawBPlDU1CpkAVxNRGrttBF/kF0S0trESkF3NLaohSoBcINGCQpq7C4rMS7CQJF2PKuew3owiU/b8gaRPkR2ZC97R8z53nOnOf7PefbPd0z3X3er6rdO9O/pp+Z7tOf/p6entB1nQAAAAAnx14BAAAAzAPBEAAAACJCMAQAAMAWwRAAAAAiQjAEAADAFsEQAAAAIkIwBLBSIYQHQgg/nzzvQgifO+LyvyGE8LOF8VdDCG8a6/WS5f5+COHOsZcLACIEQwAzFEJ4bwjh4yGEF2fDr20D3p8+zpqd6brux7qu+6ojvO6f7LruxqFfF0AbCIYA5uo3ReQN8UkI4W4R+eTjrQ4ArB/BEMBc/aiIfFPy/K+JyI+kE4QQPi2E8CMhhP8VQnhfCOHhEEKxXQshvDyE8H/idCGEHwghPJeMf3MI4VuT5f9gCOHDIYQPhRAeCSFc2I7Lu6rvCyH8Wgjh/4YQ/rWIhOx1/0YI4VdDCL8TQrgSQvgcY/1+JoTwLdmwp0MIX7t9fNolHkK4PYTwL0II7w8hfCSE8P0hhE/ejnsyhPB128d/YTvf12yff2UI4VrpfQLQJoIhgLn6JRH51BDC52/D2OtF5M3ZNP9KRD5NRO4UkVfLJkj+9dJCu677TRH5XRH5c9tBrxKR3w8hfP72+V8UkSe3j39YRD4hIp+7nf6rROTcdYPbLu9/LyIPi8iLReQ3ROTLkvGvFZG/LyJfKyKfLiLvEpG3GKt4WXYrpa8Qkc8RkZ9Wpv1uEfk8Ebm0XceXicg/3I57UkTuTf6mG7J5j/K/EQBOEQwBzFmsGt4nIr8mIh+KI5Kw+B1d1/1e13XvFZHvEZG/6ljukyLy6hDCS7bPf3L7/OUi8qki8nQI4TNE5C+JyLd2XfcHXdc9JyLfJyJfryzva0TkPV3X/WTXdX8kIv9SRH4rGf+3ROS7uq771a7rPiEi/1RELhlVw7dl475BRH6q67rn04lCCEFE/qaI/N2u6/5313W/t11uXL8nZTcIflfy/NVCMASguO3YKwAABT8qIu8UkZdL1o0sm8rcJ4nI+5Jh75NN1azmSRH5yyLywe3yr8omUP6hiLyr67pb22D2x0Tkw5sMJiKbk+kPKMt7aTq867ouhJBO9zki8mgI4XuSYWG7run6S9d1vxdC+GnZBLzv3v77zcprfrqIvEhEnkrWL4jIhe3jXxSRz9sG3Evbv/cfb6ubX7z9uwFgB8EQwGx1Xfe+EMJvyqYi98Zs9EdF5I9kE7resx322ZJUFQueFJF/Lptg+KSI/LyIfL9sgmGspH1ARJ4XkRdvq3wlHxaRz4pPttW8z0rGf0BEvrPruh9zrJvIppv5H4UQ3imbL9z8Z2Waj4rI/xORL+i67tzf3HXdx0IIT4nIQyJyveu6j4cQfkFEvk1EfqPruo861wVAQ+hKBjB3bxSRL++67g/SgV3XvSAi/05EvjOE8CnbCt+3yfnrEM/puu5Z2YSqbxSRd3Zd97si8hER+TrZBsOu6z4sIj8rIt8TQvjUEMJJCOHPhBBerSzyp0XkC0IIXxtCuE1E/o6IvCQZ//0i8h0hhC8QOf1Sy+sKq/gfZRN4/4mI/ETXdbeUv+GWiPxbEfm+EMId2+W+LITwmmSyJ0XkW+Qs7F7NngPADoIhgFnruu43uq77FWP03xaRP5DNFyt+XjZf3Pgh56KfFJHf7rru/cnzICL/NZnmm2TTXf0eEfkd2VyL+JnKOn5URF4nIv9MRH5bRC6KyH9Jxr9NNt3CPx5C+F0RuS6b6xdV2+sJf0pEvnL7N1m+XUR+XUR+abvc/yQifzb7Gz9FzrqN8+cAsCN0XXfsdQAAAMAMUDEEAACAiBAMAQAAsEUwBAAAgIgQDAEAALBFMAQAAICILPsG13ydGgAA4LxQn0S35GAIoBH3nZTuBQ2PJ2699dirAGABlnwfw8WuOIANAt/8ECCBVRhcMSQYApgMwW99CI7AIhAMAUyPoIe+CJLAURAMAYyHAIipERiBSREMAQxDCMRcEBaB0RAMAewi8GGtCJBAFcEQaB1BEK0iKALnEAyB1hAEAR1BESAYAqtD8AOmQXBEAwiGwNIRBIHjIChihQiGwFIQAIFlIDBiwQiGwFwRBIF1IChiQQiGwJwQBoF1IyRi5giGwDEQAAGkCIyYCYIhcCiEQQAehEQcEcEQmBJhEMA+CIk4MIIhMBZCIIBDICxiQgRDYB+EQQDHREjEyAiGwBAEQgBzQkDESAiGQA0hEMASERYxAMEQ0BAGAawJIRFOBENAhCAIoC0ERRgIhmgbgRBAywiIyBAM0R7CIACcR0iEEAzRAoIgAPRHUGwSwRDrRSAEgP0REJtCMMT6EAgBYHwExCYQDLF8BEEAODyC4ioRDLFcBEIAOD4C4qoQDLEcBEEAmD+C4qINDoYnY64FUEMoBIBloL1uExVDTI7GBQCWjwriotCVjHkhDALAehESZ49giHkgEAJAOwiIs8U1hjg+QiEAtIV2f32oGGIwGgQAQI4q4ixQMcRhEQoBABqOD8tGxRC9sMMDALyoHh4NXz7BdAiDAIB9ERIPimCI8REIAQBjIyAeBMEQ4yAMAgAOhZA4Gb58gv0RCgEAh8RxZ36oGIIdEwBwdFQPR0VXMvojEAIA5oaAOAq6ktEPoRAAMEccn46LimFj2OEAAEtB9XAwupJhIwwCAJaOkNgLXcnQEQoBAGvA8ewwCIYrxk4EAFgTjmvToyt5ZdhpAACtoHvZRFcyCIUAgLZw3BsfFcMVYMcAALSO6uEOvpXcIgIhAAC7CIgiQldyewiFAACcx/FxP1QMF4YNHgAAn4arh1QMW0AoBADAj+NmfwTDhWDjBgCgP46f/dCVPHNs0AAAjKOhrmW+lbw2BEIAAKbRQEDkGkMAAADsh4rhjFAlBADgsFZaPaRiuHSEQgAADo/j7y4qhkfGBgkAwDysqHpIxXCJCIUAAMwHx2WC4dGw8QEAMD+tH5/pSj6w1jc4AACWYsFdy3QlLwGhEACA5WjxuE0wBAAAgIjQlTy5Fs82AABYowV1LdOVDAAAgP0QDCdEtRAAgPVo4bhOV/IEWthwAABo2cy7lelKBgAAwH6oGI6ISiEAAG2ZaeWQiuGxEQoBAGjP2o7/BMMRrG2jAAAAfmvKAQTDPa1pYwAAAMOsJQ8QDPewlo0AAADsbw25gGA40Bo+fAAAMK6l5wOC4QBL/9ABAMB0lpwTCIY9LfnDBgAAh7HUvEAw7GGpHzIAADi8JeYGgqHTEj9cAABwXEvLDwRDh6V9qAAAYD6WlCMIhhVL+jABAMA8LSVPEAwLlvIhAgCA+VtCriAYAgAAQEREQtd1x16HoSZb8SUkegAAsFxP3HrrlIsPQ2ekYggAAAARIRieQ7UQAABMba55g2CYmOuHBAAA1meOuYNguDXHDwcAAKzb3PIHwVDm96EAAIB2zCmHEAwBAAAgIgTDWaV0AADQprnkkaaD4Vw+BAAAgDnkkqaDIQAAAM40GwznkMoBAABSx84nTQbDY7/pAAAAlmPmlCaDIQAAAM5rLhhSLQQAAHN3rLzSVDAkFAIAgKU4Rm5pJhgSCgEAwNIcOr80EwwBAABQRjAEAACAiDQSDOlGBgAAS3XIHLP6YEgoBAAAS3eoPLP6YAgAAAAfgiEAAABEZOXBkG5kAACwFofINasOhgAAAPBbbTCkWggAANZm6nyzymBIKAQAAGs1Zc5ZZTAEAABAfwRDAAAAiMgKgyHdyAAAYO2myjurC4YAAAAYZlXBkGohAABoxRS5Z1XBEAAAAMMRDAEAACAiKwqGdCMDAIDWjJ1/VhMMAQAAsB+C4QLduHxpFssAAGBsUx3jOO75hK7rjr0OQ+2s+FK7ktMN9c77rxWH5xt1Ov2Q1/O8pnd9rWmHrOPS5O9JrfHJP890nnScNlx77RbeY2CthoQVTzuTT5fPY43zTOdp+9P5+0wz5XGuz/F2aZ649dZ8UBi6rFUEw6WGQhG9UfDu9HFabXnWcGt+b2D0zO8JNGtRem+evfdxuXj1AffwPlp6j4E187b1abtRakOGTDeEFiBFfMcLbbra/Pse67TlWcffpcrC4eBgSFfyEaUb5bP3Pl4dXluG9vjG5Uvqxh+Xe+PyJbly89q5cXG+2rpo01jrtHbP3vu4+Xl5hufzlz779DNLP6uW3m9g7Wrt/1TTWfPkx6n8eelYk06TzyuyadPi/LVjTe245/lbPMffVhEMj6h0ZhI31PSMLgaH0g6V0na+UnhJX7c0vk+Aac0+Z+BD5+X9B5ZrSIXq4tUHzP0+bUfy48e+PRUl2kmu53hSGqcdv6xjnVbgsNah9LpLrhiO5bZjr8C+ltyNLKLvrNYOnHYPaMM9yy1Nr72O9Zqe11u79Oz24tUH1MZae269p1bYzj+32nvNdYfAssRuTa0bON3/922noziddiwpHSdqyyuNz9c3vpY2bzqt9xhZOmbmz+Nra8t9jSy3Ynjfyeu0aw17W/w1hksNhla52hvorAYiH9Znfus1SzumdT3Ls/c+Lq956XJ3sJq8G8LTiJbeK5F68LMa7LxhXfP7DqyV1rVptRdWW+GdzrLvsrXjQj5/3wJFOnzfY6A23HpflnpynQRDrjFcutIZVzy7SqdNz3zSYaUzK+ssMZ++dsboWc6aq4e162j2Uas41hrAi1cf4BoZYOGGtJ9D2+OxL0WpHR/yaqB3OVqPTN5Tk1cE8+lqr4WNRQfDpVYLc9qZWfqvNUx77h0Xd5Ra4IyP0+s10nnXHAAt2plk366cfF7tfdee15YT8WUUYFm8FSrrGkLt+T5K1zGW5kn/y48b+XpaAW5oiLOOj1q4zF93LeFwjFy0+GsMl0q7pkTEFzA811JYw63r2NJprTOwnHV9ysWrDyy2DF+jBS0tROeP0+fWWa5nvtLn51nvtX4uwBqkt1ApBUCR8wUFLSR626J8eVY7VXucr4vnkpjS/NYxJmcdE6020rpGce3HL69FVwwtS6iUpDt/7WDvCYmeiqK18/QJj+kwrdLVUgXRE7Kt59rw/P1MG2Ztedp7rn1e+bf1ACxD3saUgo7F00aXQmZ+jLAqf/m0tWOZ1S1srb82j1YRtHjWJ86/hPww5TouOhhqb86S76FndeWmz9PyvDZ/Pq21XK0h8JT0h3Rpt6wW2mpq3SbaWXcppC5tnwBQN7Tr1TNPn+sAa8O140rpWOTpxbKOhdZxz1ruUpQyzliBcRVdybEiou0ccVz6Tc2+P8Uz1fDIcwYXh6XTW9dPaFXCtCvSGubZ4TwVwTWW4fPPzlNVrXVl5I9LoT2lLTefp1bBBDBP+S9yWPu2Ncyqnnl7o2rtjzVfqnZCbB1vascobXnpcc8TBLW/Ufs7+/ws7VjDrdcVSXPO+TB49neOc+K/6IqhSPkAPeQarH0M6bLzrnNtZ9cqjdq02plZrQGxGoZ8Z1zamddQeSOcdvnmzz2P02WlYT8Pl9pZeKl7STszBzB/MRBYl5dEVhvsaWesZWnPtfYonS5ftqeoYAW8Uk9WvpxaMaN2bBqj52uMS3X65I/SOo/Vxi+6Yug9AxLZ/fDSVH02/Nr5g+hNOTeuOHy7vHT5z977uFy8fLbcGk+VUNvR82m1HTnd8bRh6fL7rE/6fI3VQk2tAlfaQWtnqnljWPqM+gTzOB03wAaWxVPFs07083ms9kcrPtSWVRpnhcM8cNZ6wCItmJYKJqUeG2v9rGVaOSEOP/d39MgO+Tg9n/jW/WzcPzDHeyy+YjgF79mFZxnes6R82j7hzFpubdq0ocjPPNNp0+lroaZ1nvejT2isTa/N7wmKXGsILMeU7ax1rBqitAyrklga7hnWZ9q+QXHMLLDPMg6tyWBolbtL3XKl4VZp17Msa9rSupRoocBb3fIEzXz8nDfusVg/tu6hdc94G+B9QqJ1Fp4+JhwC85VW9T37fd7tW5suPtaOGaVqn7WsfB3mqm+I9P6NY+aHocf/sSz6J/Fu/dbFY6+DyjqgewKa1h3gKYvvqxQoa93O8d81dk9aF4FrXerez9f7uM+y4rqUtqEoX/4aPzdgLUptUK3dKLUn+7RBVvsy9XEKPicveVaEn8Sbt77l87l2z1o7fHrtWkvG/JxqZ+t91sU6o7Wqvq19bsBSjLlvjl2FytuZuR630B/BcELWDhPDX+0bV+m0h1C7HlG7xjDVauVpaPfuFPLPydttQjgE5sfbnTzmMaJ0SZHVxYx1oSt5Yp5v9da6j0s76pTrWbvGrZVuZK2bZEjI83yTeGhXjPZN5nz5tWHx8Ro/S2DJ0p9PrQVEzzXj1rRWW1fqLcrXi+7k49u3K3nRt6uZq9K1HtbZlRYC83mPvbNp67HWs8W0glb6hvg+1+9Yn3dpmel469rCfHptGaVh3M4GmJc77792etszrYCgPc/HacM985aup7ZeA8tGV/LEat9U0ip11vCpWF3H1mu3tvP3vf5v7Ot4+nQhaY15aZi1HKCkz6UH+16moM3f2qUPnr933+uUS8tDW6gYTqzU5ahVCUtnYlPtqNoZpHVWGce1pO8Z8Zif1b7fDtS6/ktfejqdf1udoHLYrtrPecV/859wGzJtLfiUwmGcP13O2rZbz3s0dncuJ4vt4hrDia39GkOR9TXC6bWFVmO71msMtc99bZ8vfPr8zus+Fbx95y8td03ya541XGMIEa4xXIzajpIflEvXGmrL03bGvuGj1KBY67W2xjeVfybaY6shrrHm9y6rdA1QOk2+3L6N95o/X+w6fyP3a+eqyOXh5X0mXfbO+Mv6PKVraGvt45r1uUa51E5Z7Vm6nFIhI59uyMky5olrDA/ACmGeawmtxlB77O3mrI2zKkq1691a5T0YDQmQfeWfU+3AEefRtiFCYVvSz7t0Uqk9r11uoQWJfH7Ptcwtt0el/XHs65ojz7XILX0GrSAYTqzvTlOq5AzdAT3hYOhyWjZmg9j3OsbSuvS5NtQ7DO2JFaS8kiRibyN9tqeh26O2fbPN1mmf477LS//lM1gPrjGcEauhq117aA3L5+0zrefsfY0VJevehdZ7VepqzmnX8NW6qrV18by+tg61irC2fmv8jGHLr6+NrO3DGh7HiZS3sVJ7lM+b8uxDIuvdfkv3WE152pY+7Uyp/dGmw3Hwk3groZXsrbO70lm1tuPm0/cJDNY8a2xwPfcu7HvGXbpup6bU0HvnLV1mUPuMn733cblx+VJztwZpmbVfl7Y7bbvZp0pY2lapTtnS98hzyVB8XLtUKdLCv+fSAiwPwXAGtMbOemxN7zlbt+ZPLzzWXitf9hpDYW7ogcczX5+DbG16bf7S9YVaVcBTMSYctiF+znlboD32tDH5PH3ao3w6bXoC4v7GDNulZYzdlY3pEAyPxNpJSiEwbTCtBlY7A9TK/um0pYpWvqy1h0JvpaPWiPatsNSex88lPXjmj+NnWqs0p9uAZ1ic98rNdX/2rYpV4fiza6k8fHkqRFobo01rtWfe6mC6vVv7RksnNHlgL43P23hvUSKfJ/0vH6e1RaWTVswHwfDIaqX5fHitelirNObjrSphqoUzc61Soh1w4vD4PJ0mP0h5H6fLKgV36yBcCoK1Ko6nWpMug3DYlj5VHqvnw9qerKp1qT0qtUUtVqSs8O1pZ7T2wWpbrEKC9pp9ix6YH+5jOAPWzqZV8+L02rSlLsFalShdD+tsryWexs9zMNPG5cNrJwf5dqAFeu15zgq42gFEO3BEMRy+5qXtVGNaZG1D1rbtbWM802rh0qo+aeu69rYrvym4dpzIldoprS3RqrilZaVqbVG63LUXHZaIiuGR1MKC1qUT/7VC2z5n5lr4aKFSODVPA1lSmif/XLWKYhyXfu55sK1tJxaqh+tW6kZM//VUoq3hpWFpO6e1RVqQtF577Up/677tTq0N0qaptUX7touYFsHwiPIqjYi+k5R2HOvMXJtXazxKDW7ttdfK6k6pTZeygn0uP3CmB7i86zmfTzuJGLr9lIa1uA20JF43XOqh6NO+aNNqVSfPtme9Vun1Wzyh9ezjVtEhzp+3Renj0rj839JJZevHlqWgK/nItLJ9OlxjNbK1rp98udYyrGWtVf5TYKX3UTtYlrpdrIOj1T1TGlea32q447x5d3GfrqLSQTatGtK1vEz59bWl7Vo7QRnSFmnd0KXXs6qAnn3txuVLq/zSXP7b1VqbUApi+XudfgZ92rnS8UI7aa1tUzi+RVcMtzdxXKxSI5n+aw3TnnvHWSV9Kwzcef+1VTauQ5QqHUMCtVX9s17Ls155V1w+nXaysM/fgHXxVAk9bZE1bTrM6jmxKlv5dt1ysMi/dT3mezGkQJAeV/JLAkqVRoxnjFy06GC4Jp4Ql06b71j5wV2bttRIp9NbZ+et83aR7KN2sNXWIW9wvZ+vNo+nu89y5eY1rjtcOKvHwNNVmS+jz2UKWhC0Tmzy19GW3WIb1ucz8s63z3rUqoi1zxfHs+ifxBMRWcPP4nm69lKeMzmryzC+Xj5tvj7R2quEeTdylAdqq2G13uM+02rPrcdxulKXkdUNl9IOoqV5hxxg6Vpejis3r5knDKXLFmpdvLV2yLPsfJ1K81rP19yOWW2YprY/19obb1tjVXu15WFcScVw8E/iLf4aw5OXPLvocGhVn6xrdzRaALDOwK0uw7xbx1q3tSqFtHy4dfCpjYvLya/piWqBMJ+u1E1c+ww91YWWPv+W3bh8SS5evaRu82nPhLd6522HrOWUpG2YZz9oQXrrGm/VsPTeDXnfSp9pvszatBhurMvr6EqeKe2MKoYJLSho3SrWTl9r4NNltPLLAd7G0FOpHWrMea0uY6uLbwp0Ky9bKVxZ1UVvO+R9fevyGO9Jc4tK3etTv095N7HVBmHeFt+VLLLs7mStG8XbtVKqKpYazlJJX2vEW+qG8RzEvN3+pWqGiL8LOefprrHGe5YxFbqW50nbB/p08ZbarT7dxOnra8NTpfnT8enzFtuxWo+GiK/LXnucTpcP83zuBMTxZRXDwV3Jq6gYLvnbyVpF0Bqenm2VrtOwum+813/k49dcNUzfz/xf7XE+XzpeO1PXlpF/nnmDanXz5BUZq0H3NLicuaPEakNE7JDmbZtqlStr28wrUKXp0vVopUtZ5Hy7owU7rd2J/2rtnKeQYHUVt/gZHMuYOWgVFUORZVcNRexrPjxnaHF4rXtFm95zdrnGM+1S2K2dZXu7kz1VxdLrWssonZHPHVXDebpx+fw1hqUAWKoqenor8vG1KmGpt8TbJq6xHUuVej88vRy1dqtvNXfJ7dQSKcGw7YrhmmhnfLlS5U+rTJXO6EsHgTXfu9D7d5UC3RgNXWkZ1mvnFRfOxrEP7SSp1P5orKBmVYy0ypQVMPLtPQ8cWtXKezLWgrECmSfkebr4+Vzmj2A4A56Q5u3WydWqAHGY1sWz5i7kMZSCW/681nVmPc67tPN/+x7Aj4lq4bx5ugnzk8q+7VLpEoZSAMwvpcmXqV0Kk/974/Klnf9aobVHkdV9HKdL2yCtPUqPHbVLW7zHLBzf4m9XEy35tjXawb10nZkV5PJl5KwzPu3sW2S9XS/afb+0a/escfl7l4/Lq7T5Z2V1tViPS13MS3Ll5jXC4QJoXcYprcfBWkZpuKfds17L2g+00NP3ko6liret0br6ra7/2ntT+jzic+2x1gamjwmH4xr7exarCYZroJ2pe3cg71m9NlxrZNcaCnNWGNPGaQFQG1d6Le/n6T2I0cBiX3mg0FjVIE/3oqdXoxRQPCexXFqxcef91+Ti5QdEZPhlMH0DtOe99/SCYT7oSp6RUldy/tzqArDOyEoVxrwbprUdduy/1+qa6aNvJWYpuLfh/JR+/SdXa6O0tsrqZsyHeyvo1jr1HbdGU3SRa0E9r8Zq08VpvZ8j5mM130qOltqdLGJX/dJh3mnT4bUze+tsfa1Vw7y7RaTcdVvrWs7HpfOVgnopMNZePx+Xjl8SupbPu3H50qj7XhoW0uWWvnQiUq/IlarkfZdj7WOlCpR3/7Veq897nJ7QvOall06fz3H7Tb9hLmL3GnkvndGmzVntm3YMo1o4rkI3Mt9KXhvtzLwUAmrdONr1H0sPFfvQuobTamlefY2P08pIPi7Oly4znz6dL/8cStWVOL70fImoIO6KYU0LbWNWg0q/r2tVBXO19qNUJaxt41q7ZbV5tf1i7P1k7ttsDLx5GM7fd+1zqFV+NaUeLu3za+1Ys0SrC4Zrudm1NjwPJ9ZZoBUCta5i66y7BXkoS4eVGlDPNU/a8z7XF3rna7X7f21q35S1AqP1LdvS8L6s6pG1neYnRHGYdemLpnbimu+nnv0gH+d9L0pBcK4h0Qp4+XtUO+aUnqfbRS3wW+EU+5kq76yuK1lk2d3JInYp3+oW7jM8H68Nj6+75q7kyOo2Lo2rdemm+iw/X2aL5tg1NyXPTzKWtq+Up5vY2p5rbU4+PLLanHxcTW2Z2rTeCpbF2tbyb8+Xwt9ct9f4+WttjojednnboNLnYxUrWu6dmlIlGNKVvDalRtVTkrfOGNPxVgVx7aGwT1WhNM7qJvFOZx10rS5o7TmWx3MvPc82ZC03DzL5NmUtx9MF6w2JllplL90ntGXmvSaW2n5z8eoD6vsf37srN6+d/lcy14phKn3Ptc+tNC6vBtaOS9pxJ/1MCYXLsMqKocg6qoYpz5lz+rxWHdAex3nXHApTtUqfh7ehLA3vU6ls6cx7rtWYobxVPKsi1ne4tXzPY0+PQmmdPVVOT5XQatOsv1N7L0r7UNrWDQ15c91OPdVobZy3zfGeCLTUZh2SoxuZimFuydcaavIz6TisdJZv7YTaGfvaK4U1QxusIfPVqiKl12jpzNtTsVkDrUqO0YW7AAAgAElEQVSssao9WjtgVeVK1cN8m+yzjXm6f4dU6r1BUzsZzpfbwj4T5SchtfcusraZ+K+2jWrV7VrPCfYzdb5ZbTBculrDXhtmXSdilfhbcIjQu29X9JBp127J4fCeay/IPddeKH4LWEQ/Wah1u8bprOHeyw3yNiGlBcZ0eK17Oh2mrU++nlYAzKfR9o88tFjdo9rzJW9jmrytq7Untfe0duKSLiPvso+4/GU5VtuVHC21S9m63sPT7VPrBkqXrw1fe9VQu89X1FroWpq5dtul4n0I77n2wumwR+54xtyno1K3bD5tOn363Jqu9FrHamvyv9FzMmu9hrWsmrH297lul6Xu5L7v076fD8bRo1pIV/LapI251eClBxFPtSE9i/N0S6/VnfdfO/17S13xQF/xQGxVoNKKirYfWtXEOK5WPSzt26WKUPo62rjSulk9Ftrreva7tJ2y2jjttdJpWq6wjy19T0sVwXwe2tLlIhjOmNbYlrqN82G1Btg60Ezxs0pzxoFjWZbQ7Xfx6gPyyB3PnD5/+Lm7XduZdb1gHJdPWzoBrL1erQLkGZ4GhdqlEVZ7Vnota3nadFql1RO8W1QLbul75+0O1uYhHC7T6ruSRZbbnRxZXTjpeGtYafo4XKtIrrk7WbvHV6mrBPM0t+670k/MefY5zz5uDfdUaDzbu7cb2pre81q1ebSA5wmr3m7SdPmtdCUP7Xa33lfrs8rnyafDfnp+6YSu5JIlf0N5SPdvadrSTtra2V1acbGqsZivuVUOtQv+S924npBkjfdWD0vzaF28WjUwnzZdlqfLVntdT8+H9bfkbVnffdbTFboW6c/jab1IVuAvjU+3i1r41paDYQ6ZY5oIhmtkdaHkQVLrqik1qHfef23V1cJcSwcJTC8NPaXtSQti+YmKNry0XCtIlsKTtTzr4K8Nt7oca8Eufz1tvLcK6AnGmtZOBPP3x+pqz99LT0Vam442dZma6EoWWUd3soivi6ZvN04rXchR7UbXrR0slmou3Xelnx/z7HuRdbI3dXezNrzWndv3sbaO1jp43kdrnfP57nr0QRERuf7QYzvTat2h+5jLtpjTvpVsbUOeruH8ed9tHMMNqBjSlVyz5O5kEXvnKpX/tXK+pwunBVolFes39hertJOM/LlVlYlKAaq2D5cuJxlSPbSmt7p5rSqhVjXSuqqtdSt1S1vT5OsYQ2Ecl74n3grY0qUn+p5Ks7UtRXmYLgX9Id380B06vzRTMYyWXDnsc+bf50y+pWqhiB0OaMSWq1axsT7zodt8qUoYlaos1jQpaz99/SueEpHdeyN6X9taH60yGZdjhYBSOBirEmpVB62/I5UGw+df+TF1fm2+oeZaNRTxnxCVqru16mBtO8Ewe4RCKoZec6gcls7yvfNrZ81Wt0ipUthaKMx5urmwbKVvC9cOmPGXS2rLS8X9Sts34wHVmqbULtQqMKX5PdVAbX3Sf+M8nvXyVKCsQJdPZ71GPk263Pj4+kOP7XQjE1I28sqttm3mrOqw9wQB/R0rrzQXDOegtCNpO6V1EMmX5xmuHSRaDYVYj/i7yuk3lW9cvuSqlHin0+QHyNrJRanyVZomHRbvjxjvjZiHptr1Y+l0fU6GSgFO6ybOg6P1/ngDoqcrOl3+9Yce21m39GR67G7OOVcLU1ogrJ0ApNOm40ohUlsGlqO5ruToGF3KtWs1St0pKW146XobTxdTK+Ewv69X6TPBsvXp6sqHaT9p9/Bzd58+LnWBal206etqXbfWetT29VLXnrY++Xye1/C8fu11a+uZjrPeL236nNX17O0G3decA6L2e935tmGF9D6fM+3nOEaoFtKV3NcxSrS1bl+ty7fUDWxVBLWKY/qvpoVfO0n/xvx98nTpYVlKXY+1itGNy5d2frkklVbqrNe1KjGldcvnt+bVhqftQa2yZ7UP2j5Q69UoVfC0ddW6IOO8WhezVrnKl5uuq7YOtUpuq0FG64bXKru1iqBne0c/x77krdlgeCylbp/0uees3Nu9bFUNcmsPh9oNiCMas3WqhSyrSh+n18Jh/qUPTS2kaEHGmqd00M6Xa71mLfx4K2ietis+toJdHixrQdZap1oQ1bo/ta7UVmkBXaRcSEjn4QR6vZrtSo6O/S1lT/eP93GpC8bbtbPWLmXrfl4aukPWy9oHhk6TjysFGasr2vPatS4/rUs6jnv4ubvNMDu0rclfu9b25H9faRpt2nSe0niLdgJQ+qyGmnNXskj9Hq7auFr1WtsOMNyI1UK6koc6dsm2dgZb2tlKB5WctYO3csZn3c8rPestdUdhHUpVt3SaPsurdWUOeR2r4mbNb1UeYxiN/2rT9mV158Zx2vtbe3/yfdB6vXwaqyrYt0KK8xXEPt3J+WMMc+w8Et127BXALquSZwVG7/B0XPo60VorhVHtRsRaNxjWa99w6A1sYy0/DaB9AmP6pZnaCaYVyDxdxOn4dH1Ly63xTpe+TqmCWnremlK11zNfnL7193Gtmu9Kjo7dpZwqNWK5UrdwbRnp8LUHw8j6VjIHC7TEc1lJVBquLTMd1yd8e8NbaZ/VQmh+old7vo+5dyVH2qU12nOrO9l6ryPPZ1fS91IN73LnbIJq4eCuZIJh4tjhsLbTDd1ZSsNF2gmF0Y3Ll3YaPAIhWua5FtAa7rkOsjTMU6XUxnuWn893qKrhEsKhdeuaUljPecK6NZ13/n2Oc0syURcywXAscwqH6fOo1khbDXSpYWwtGIqUv4G91MYF8PD0SJROnLThcZz1Oto0Q6qJVnCw2k1PSB17f597MLR+zjGlHUdE9OPRkJOIVJ/5rcrlktvsCa8r5MsnYzn2xZ9aF4d1XYc2bb7zpM/z6e+8/1qToRBombcbtXawTcfHtie/7sziue5wyLKs9jG2o/QQnBUCvO9D+rmWpisFyDzIadtKOk5bbj6eUDgdKoaKY1cNoz5nTF6tVwpFzp8xT3W9ETBXfa4r7HvtYRyXv5Y1v6eb2dpH+7R91uvny9/X3CuGIvaX8fp0J5d6pLTptGWVKtDp+JqlttkTB0O6kqcwZUCsBRDr2p1a9wvXFdbV7uW11EYG8Kp1B3uu3ytdY7hP96L3dfJ1K508l147f/19LSkY1t7bvp9jPq031Hkvf7Jef2kOVCmkK/lQPN0bQ7tTSmdc+cafd5PE+a0uGW0ZANqmVYe0dik/cOcH7dLJq9XFrLV36XK0rl9NHF8KhalSW9oKrTs5ZV1+5J3eqv5pxyHrUoB8W7CWifFRMazQqoZWo+M9yyl1YZTK6UPPoLRxSzirnUr6rWQRKoZoS982ZEj1b5/qYT7MO4/1WvGXX9JlTLWPL6ldLXUnp8NqFdxULcSXKtLW8LW1zQe8rpCu5CnFcFhq+Erl8PRxqWTu7cbp071cm77FLmXvPbzic2BNagHO26Zoy0zHea89q7WB1uvW2snXv+Kp08f5TwK23pUsUr4zQ4n3mNQ3BPbdLpfYNh/4yyYEw6lp4TDqc3ZcukYmHVY6S6vNmw+z1iVqLRxa9/DSLLHxAWo8YS0flg6vBcMhYcCzvFL7mS8j/W3qfJm5FoNhVDtRTo1VCdamy4eVlqut29wd4RvIBMNDsLqVS9e19AmEqT7dx6UzdOvsLZ2upWCY//JJytPVDyxZ37ah70lq/jreAJGr9crU5onPrXCYr0erwVCrGvatGGvT1rqYa59prQduaY50Wxq+fHII8cO9ePWBnY05f25Nk+9M3h2q1Oimy4rPPY1ebcdfO+39f/bex3carKU2QoCXdoLat0s37jNWm5bSpsv3M22/y9u2fP/U5omhMD7W2uzW28Go1Nal73W+XeSfY35M6hPk02V4jo1LMdd7FZYQDHtKP+Q8dGlhQnvuadRS2uvkYTBOZ+2M2vQibVULLen7ljZ4HDSwVqVeDqtiXguL2vJLw7TAEVkn2lpb6Hnt9Msn1jQt8n47OT6u9XDl81jL9nQvp8tdalu8xFAoQlfyYNY9Dj3l71qXZe0ajVyfbudci8GwdI1h7RoboI+pt6Xawdh6zaHXctW6m0uXzPQJFn2qln3G523lFJ/JkrqSRXz3NNSU3l/tcTpt6XinDc/HLcEMQiHXGB5DHg77XDPRZwe0aIFQC6Taa7UYCHPpbWus7valNUaYl1Iw3Hf78gY4bZ4+wc7TVnlObD2XxNTmK500921LS+u2ryWFwz7XGdZOpC37HP+W2AbPIBSKcI3hceTdyum/Jfm1LlpI03aGfDrtzDfvDrVeF5v3U3uvrG53YCzWvujtNvN0qeav4+m+0y5PycdpXcLaelsH/XTaWijM59MuxfGw1hl6kSB9b+68/9pOl3PpfUuntZZXCpxT8Ib0scL8TELhXqgYjiC/lU2U7yCl+0bFafNprMpeOl1tXu8yW+M5UyYcYiylikltu7OmKQ0vPU55pvdeptL3WrP878in7XMpTfqaVrWx9HwsS6oWiux3zPEsc5/j05Wbu68T31vPcO1zyOcrLVObprQckdmFQrqSj+3Wb1083XhqO5BnB4vTDAlx1rx9duwWWHf+F6EbGeMrVcly3uv6rIpbPm86zhpmjfMup/Z3WH+LNk/pshxrHTzTi4jc9eiDcv2hx3bWqeWuZK8xjh/asclabinkxXF93+dacPRMo42/cvPa3EKhCMFwHu47eZ172n2CH8ZR+xIKMCYtgAwJNvm83gv+rdfZt/LY5xrAPtNZl8poPOPvevTBnWHPv/Jj6rqNYY3BsBVDQucTt9461ersY3AwvG3MtWhd3Dg8AZFAeFy1n4MiIGJspW0pjrNOUC5efWAn2KShRkTk9qdftFMF05adXk+rhbTS9YWl9R4S/rT1sqZLpyl9KSW99rC0/8b3aaprDAmFy7aCQLg3giGa5jlYA1PxdMnG0HPX02fBMN02Y2DMu0jjvPn0VrgqDbfW3VrXIdcFampfoKuFSJHNza3jfQyvP/TY6fOp9u8rN68RDrFodCVPqE/XMg6v9BuhOUIijiHdJm9/+kUisgk3afiJwTAf3ud6wXy41p2rTevtGvd2CWvz5cv3Xt/4+lc8dfr4kTue2fkllEfueGbyL5kRDtdrIZVCblczRwvZeJqVd+drt7SIuLUFju36Q4+Z3cUlsYu1VCUsVd48X5rxDMvXQQtjpa7kvKs77X7Ph8fnj9zxzLlQaK3vmAiF69XCcZ2uZCDR95uOwCGUKlrWNXOl6wj7fJu5Vk2rXaNYu8ZRW5b3eVqJLF2fqV2POBVCIZaOruQDomt5vrRb10zd1QSMLQ1FsUqWdpuWvl2cqo3LX0+bp88XUbR58r9n7FvX0JUMr4VWCflWMjAmqoRYovQLF9pwT1WxNE/t+j/tufUFF+15Pp9V9cunK4W8Y/QCEAqxZATDA3ri1lupGs6Qdj/DiICIFnm2+9LtbdLwpV0baC2/1HWcf3lFW6bWtZyPT1EpRM1Cq4V7oSv5SAiI81K7ryFdyWiFp6pY+tazNq21fO+ya7SqYOm+j3Qlo2YFgZBvJS/NCja6VSMIolWlexiWvk2sDfPsR+m3otNvGmvL0cbHZaTyXznJ14ueAJS0fnymK/mI6Fqep/TgwwEELZrqxMhzM29tHazhVtfyXU/rv4esvT4ngUi1HgpF6EqeDQLicdVudl266B7AMEN+KWXo8/h66fMp0ZW8LCsMhHwreemoHs5H7WA19X3QgLUqXZeYf0GkT7V+SEgEohWGwr0QDGck3TgJicdjXccUh9G9jLlK7104d6VfOdGmKVX98pO5Q3z72EKlcBkIgzaCIaDw3noDmIv03oUPP3f3rMOht4qX367GGudxiG5kQiHWgGsMZ47K4WHUfvkkRzjEHC2pYui9D2Ku1NXsCZjcmqZtDVUKB19jSDBcCALi4dy4fIngB0xgyM/UlbqOteUf8neRRc7C+LsvXZj0dbCfhgJhxH0M167Bjfpo7rz/2unj9B5r8TmA/ob8bF3p+sI43rpOUet6Hnv/zX96EPPE8bMfrjFcEL65fDili+K5zhDw0X73OOe53tAKiPn8nq7kMeSBkGrhfBEK+6MreaEIiNPSrjkE4Nf3msF83lrIq+2T2jKmPqnjWsP5IBDSldwcNvrjOET3FLAmnt9VFpGdruG8KzmOj/NqlcO0op8Pyx9PgVA4Hxwf90NX8oLFjZ/q4fjuvP/auaph1OdieKBV3q5jkXp1sfS8dNnHkJtlD0EonAcC4TjoSl4RAuK44reTvb+qQDAEzuRfFElZ3zi2vpXs/Yay9njKkzYC4TwQCFX8JB74csoU5vBLCsDSDL0tjRb4rH0vHW8FzDjNXY8+eDr/9Yce6/33EADni1A4PiqGK0ZI3F/txtdUDAFb6b6EcdiQG1lr82r74sPP3S1vf8urBoXBiFA4P4RBFyqGOI8K4vT44glwXu32M96TKC34lbqV08dj3GOQUDg/hMLpUTFsAOFwuFgxTA9K2rVLfPkEONOnypfOY91exnufQqvbuO9P4hEI54lQ2As/iQcfQmI/2jeTS9c0EQ6BM94vbu37PO53dz364E638ZD9klA4L4TBwehKhg+3uOkn/jxe7dY16XPCIVpXC2SeL3N5f0IvHXf9ocfODfdU9QmD80MgPB4qhg0jHPYTb19jIRSiddptaUoBb6xfOCm9Vr5O6W+hY54IhaOgKxnDERD7sX4uj+5ktK5vSEvH973FjXY5hxY88+kJhvNFIBwVwRD7IyD6WV3LEeEQravdvNo7PlW7sXXpiy0RwXB+CIST4BpD7I/b2/hYX0gBWle7cXXpZtX5eE8Xc6lKz62kloFQOD9UDGEiJJaVqoZ0L6MlpWsLaz9/5+l2LnUdW7+Yki6DKuG8EAYPgq5kTIeAaEvDoec6KmBN8nBX2wfSaYc8tyqDWtczYXB+CIQHRTDEYRASz1y5qR94tAqGCMEQ69E32KXzlG5q7QmXpYojlcL5IQweDcEQh0VA3NDCoecgifVo8fPd5/eN+4z3hEDPehEQD49AeHSDg+HJmGuBdrDTb2g3xq1VRICle/bex0//y9WCsnd8fi1h2l0dH6fLSudrJaDPFceHZaNiiNG0WEX8xJd/4blhH7nn9tPH6c9zpTzdasAcDek2rm3v3i+ieG6YnaNaOD2C4CzRlYx5IByKvP9NL8jtT7/o9LkWDj3fwgTmpu9Nq/uO99zfsLY+ET9zdxiEwtmiKxnz8MSttzbXUNz2jqd2qoSf/QMX5PlXfuz0+V2PPnhunrS7Sztw0uWMOdJ+fzgfl6p173pOhtJu67T7uHQza/af6bXY1reCiiEm10oV8UPf/qU7z68/9NhpKHztG94lj9zxjDz83N0iIvLIHc+cTmd1qaXPa8P2wZdl9tfKZQDe30Iu/RLJWN9ottaLruPpEAQXha5kLMOaQ2IeDEU2gfDtb3nV6fPrDz12Gg5FzgKitzutb/eaNj435ECMMy0F6T4/Yze0q9jzs3apdBq6j8dHGFwsgiGWY63hMN7sOh6o0mph33CYGtJt5/klCm1ebf61h519tfRe9fm1klTfEFh7PWtYem3vy777F4y/Al6EwkUjGGK51hYUrd9SjkHx+Vd+TD77By6cjvu5N/+giNjf3EyHDemGS43Vtde6vlXZpRqj23efZaTDSuuVX8dLKByGILgqBEMs35oCohYO02qGyPmA+CXf+8siIvIT7zl/C5xIq5Jo00Se7rc+lZ983latPRj2uZZQe67Nk6uFwItXH1D3mXQaAuE4CISrRDDE+qwpKIrs3tbm/W96QUTOB4qv+MY3ypd87y/vdC+XLrgvBbypLvJfWwjqy3P9Zan6W5tXW441j/dLGUM+syGvrW2T3nUrVQG1yzG4Z+FwBMEmEAyxXmsKiNoNsX/uzT947prDvl2+Guu6rNwUXX1rNeQ2KH0+h1K1t8+XjEqVYm+471Mh7PMtes/2le4PaSAU0UMhgdCHQNiUwcHwtjHXAphCbMzWEBBve8dT58LhV3zjG3fC4cPP3b1zUNUuwNducROn0eZLaaGhTwWrpSA4hVI4tz6zPNBpn2Fp3jjeG2w9JyGeZXmmSdcv7xp+7RvetfNlrZ94zxcSCgcgEKIPKoZYrDUExVR6u5v011KGdNn1uUYsnc9TuUyns+7HuCaeypz1re++1+pZyxpSHfQuz/uN4nQaz7bX5zKH6K5HH5TXvuFdIiLFb/KL7G57Eber2SAIQuhKRuvWEhK1m2SL9Dv4x+f5fLVvGMcDvCcclqbRlr1ktXC3z7C+3xz3hrjaSUDtSyGe9d439KbP8/chrRxat3fKtR4KCYPIEAwBkWUFxCs3d7vA4oFNu1F2fl3Vvtd09bmWTVum5z6MSwqHteDRNxRpw/qGQM88+Wt5A1xcjqc6ab2WtUxrOs/fkm5bb3/LqwiFDgRCGAiGgGYpQTEPiVFeOfFUk9JhcbjWDVe71jCfpzSftgxtvUp/Tz7tITz83N07P1UochY+8mF93sN9qmmlgOb5AkrpCyLea/6sQDdGiMyXqf2WeP4tZBG+dBIRBOHEl08ATdqIzjUk3nPthdOAUnLXow/K7XJ2gKxdN6Z9oSH9gsvrX/HUuWsE8+WIiLz+FU+JyFlgqoUczzVn2npq804lDXme934q2vtkBblaBc4TwvLg6A3mtS+flKqd2uvk20S8ZOLh5+6Wt7/lVeqtaVoOhYRBHBIVQzRtTmHxnmsvnBsWA0teVUmrJ6WDufWlCG/lbsh1ZWm4i6Err4Q9e+/mPnXpl2zy16u9rjWfN9zEwCvSr/qX33RZxL6vnmd5peHWeM+1hp7u7nRZUbrdaN3OVle093W161RFNp+BdW3hL37bF58Ov+0dT5273GJNN7YmBGIkdCUD+5hDQEx/LUW7jq8UDtP5vMM8y4vTRn2Cm6fr1RviagF0327XdPpa0BkzGPYJ4KnS3zvkWsPadEOH5etuXZ6Qb4v5rwKJbG4Kr733awmFBEKMjGAIjOVYIVH7GT2R8wd8EV/FzxtUtICY8oQubVotHGo/9+ddVmmdvF9+qIUga33yKmh+/dvzr/xYcTlWF7knaHu7lPtWVffZZoZUaLVpPYFQROQj99x+btgaAiFhEBMiGAJTOlRYLN2uplS581YA+1R/rNfJ9Zl36JcaalU0rXrY5wsSKSvQ9Kmw7tON61lX7W+sbR+1z8maf6rtQ3s/a93L0RJDISEQB0YwBA5lqpCY/iKKViHRfi9WZPfArh1E9wmIcXikdVOm8w7tdh4yTAs2Y4SvdFlWiIm0SmFpmfH1+1TnUrX39Bjdw322CWv7XGsgJAziiAiGwDGMHRK131J+/5s2X0rRrq9Kpd1wcR6RepdiOszqFtT0CQylSpIVZryvWVJatqc6p/1Em3Wfw6HXS1qvnc/rXW9rWaX18mwH1ufp3Q5E9PtF5r+ik77n+a+gLCEYEgYxEwRDYE7GDIxaWLztHU+dG5Z3Q3/Gu5/fef4l3/vLInL+Or8+IaQUHD1hZ9/leStt+a1MtOs3tdud5NN5v2iyzzV7nvXQprOuSfWsQ9/u4b5hNF2eFq5Fdn/yThuWmmMgJABi5giGwFxNWVXUAmJtHpHdiuJQeajTfn3CE160ZUXeQOK9p126Pt558sDdp/s4N+V69nmvhwS90vp4AnVfhEFgLwRDYCnmcGsczY3Ll3YO+lY4yacbk/UzgVO/7pqVPleR6W4U/aFv/9KdcJcG7Hz4HEOgCEEQi0YwBJZuroERWDsCIFaIYAisDUERmAZBEA0gGAKtITgCOoIfQDAEmkdQRKsIgsA5BEMAuwiKWCuCIFBFMAQwDAESc0HgA0ZDMAQwHsIipkYIBCZFMAQwPQIj+iIAAkdBMAQwPwTJ9SHoAYtAMASwPATH+SH4AatAMASwXgTI/RH4gKYQDAEAACAiewTD28ZciwMb/EcDAADgvJNjrwAAAADmgWAIAAAAESEYAgAAYItgCAAAABEhGAIAAGCLYAgAAAARIRgCAABgi2AIAAAAESEYAgAAYItgCAAAABEhGAIAAGCLYAgAAAARIRgCAABgi2AIAAAAESEYAgAAYItgCAAAABEhGAIAAGCLYAgAAAAREbnt2CsAHNOLw2d2H5fnN09CkBBHhNP/nQnJc3V8NixkI4vPa8vd6Kz5qq8n0imL1ucVkRA205emObduhemsaR3LTfX6G7Lhrr+n9Np9X1cd19nzVJffnRuuzhLiP7vTB2Vd0u09ZOPyedLlpZtpHJ7OvxmvDc+X2xXHn1/22fRhZ/m70+3Od36Z+XTptPrys3E7j9P1T6YLIkmLcm768+M2Q576b89f6bruqwU4EoIhmvZxeV7+/Ml9Ek6CSDg5/VdOwiYonmyL6iGInJxs/w0SkmnOjY//7YxPplfGdyFs6vfJ+C7OmwxPp+vOjnSb56fD4/Sys+xuOyyOPw06QURO4nz6+J1hQTavZY3b/rt57d1hO+twuu7adMZ4OVu2Np9n2fm67TzO5j8b3tnzp+Mln7dLppHTsJSPD+m0p39jHLf7r8jZ9CF0200jHddtN4mz8Sfbx6fjk2EncvY8jj8ddzq+Ox1/Eodvx6XPT8efDr91+vxs3lty4XSazfgLp+O3z0MnJxLH3Tpd9oVwS06k2/wbbsmF7TLS+S8k88Xpz+bdvPZmmlvbabbzbqe/IGevcUE26xHnv7D9uy5I+ni7fOnkJGz/FZELQeSChNNuuQshyImE7bCwfX6yfe0gF8KJnMiJXPjMZ18swBHRlQwAAAARIRgCAABgi2AIAAAAESEYAgAAYItgCAAAABEhGAIAAGCLYAgAAAARIRgCAABgi2AIAAAAESEYAgAAYCt03blfEAWaEUK4LiJ/eOz1AICtP9513V3HXgm0i99KRuv+sOu6Lzr2SgCAiEgI4VeOvQ5oG13JAAAAEBGCIQAAALYIhmjdv51OvJwAAAGJSURBVDn2CgBAgjYJR8WXTwAAACAiVAwBAACwRTAEAACAiBAM0agQwleHEP5HCOHXQwh/79jrAwAhhPeGEJ4JIVzjtjU4Fq4xRHNCCBdE5H+KyH0i8kERebeIvKHruvccdcUANC2E8F4R+aKu6z567HVBu6gYokVfLCK/3nXdja7rPi4iPy4if+XI6wQAwNERDNGil4nIB5LnH9wOA4Bj6kTkZ0MIT4UQvvnYK4M28ZN4aFFQhnFNBYBj+7Ku626GEO4QkSdCCL/Wdd07j71SaAsVQ7TogyLyWcnzPyUiN4+0LgAgIiJd193c/vuciLxNNpe9AAdFMESL3i0iF0MILw8hfJKIfL2I/IcjrxOAhoUQ/kQI4VPiYxH5KhG5fty1QovoSkZzuq77RAjhW0TkiohcEJEf6rruvx95tQC07TNE5G0hBJHNsfly13U/c9xVQou4XQ0AAABEhK5kAAAAbBEMAQAAICIEQwAAAGwRDAEAACAiBEMAAABsEQwBAAAgIgRDAAAAbP1/jUUOmzyhLE8AAAAASUVORK5CYII=\n"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "hids_covered_by_4MOST = set(list(np.where(numvisits_disp > 0.5)[0]))",
   "execution_count": 21,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "df_kraken_2026 = pd.read_csv('/Users/rbiswas/Downloads/kraken_2026_wfd_avail.csv')",
   "execution_count": 22,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "ipix = np.ones(hp.nside2npix(NSIDE))* hp.UNSEEN\nipix[df_kraken_2026.hid] = 1\nhp.mollview(ipix, nest=True)",
   "execution_count": 23,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 612x388.8 with 2 Axes>",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "difference = set(list(df_kraken_2026.hid.values)) - hids_covered_by_4MOST",
   "execution_count": 24,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "ipix = np.ones(hp.nside2npix(NSIDE))* hp.UNSEEN\nipix[list(difference)] = 1\nhp.mollview(ipix, nest=True)",
   "execution_count": 25,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 612x388.8 with 2 Axes>",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "len(difference) / np.float(df_kraken_2026.hid.size)",
   "execution_count": 26,
   "outputs": [
    {
     "output_type": "execute_result",
     "execution_count": 26,
     "data": {
      "text/plain": "0.3008473465440553"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "df_kraken_2026.hid.size",
   "execution_count": 27,
   "outputs": [
    {
     "output_type": "execute_result",
     "execution_count": 27,
     "data": {
      "text/plain": "343307"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "len(set(list(df_kraken_2026.hid)).intersection(hids_covered_by_4MOST)) * hp.nside2pixarea(NSIDE, degrees=True)",
   "execution_count": 28,
   "outputs": [
    {
     "output_type": "execute_result",
     "execution_count": 28,
     "data": {
      "text/plain": "12590.663618635319"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "len(difference) * hp.nside2pixarea(NSIDE, degrees=True)",
   "execution_count": 29,
   "outputs": [
    {
     "output_type": "execute_result",
     "execution_count": 29,
     "data": {
      "text/plain": "5417.7978473965586"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "##  Section we need"
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "import numpy as np\nimport pandas as pd\nimport healpy as hp\nfrom opsimsummary import PointingTree\n\n%matplotlib inline\nimport matplotlib.pyplot as plt",
   "execution_count": 30,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "class CadenceOverlaps(object):# foreMostPointings_csv, opsimAvails_csv):\n    \"\"\"\n    \"\"\"\n    def __init__(self, foreMostPointings_csv, opsimAvail_csv):\n        self.foreMostCSV = foreMostPointings_csv\n        self.lsst_avail = pd.read_csv(opsimAvail_csv)\n        self.NSIDE = 256\n        self.pix_area = hp.nside2pixarea(self.NSIDE, degrees=True)\n    \n    @property\n    def foreMostdf(self):\n        df = pd.read_csv(self.foreMostCSV)\n        dfrep = df.loc[np.repeat(df.index.values,df.numVisits)]\n        dfrep['obsHistID'] = np.arange(len(dfrep))\n        dfrep.set_index('obsHistID', inplace=True)\n        del dfrep['numVisits']\n        return dfrep\n    \n    @property\n    def foremostPixels(self):\n        vecs = hp.ang2vec(dfrep.FieldRA, dfrep.FieldDEC,\n                          lonlat=True)\n        hps = np.concatenate(list(hp.query_disc(self.NSIDE,\n                                                v,\n                                                angular_sep,\n                                                inclusive=True,\n                                                nest=True,\n                                                fact=16) for v in vecs))\n        hps_counts = np.bincount(hps)\n        numvisits_disp = np.zeros(hp.nside2npix(self.NSIDE))\n        numvisits_disp[:len(hps_counts)] = hps_counts\n        return numvisits_disp, np.where(numvisits_disp > 0.5)[0]\n    \n    #def plot_4most(self, threshold=None, fname=None):\n    #    ipix = self.foremostPixels[0]\n    #    if threshold is not None:\n    #        ipix[ipix > threshold] = threshold\n    #    hp.mollview(ipix, nest=True)\n    #   if fname is not None:\n    #        plt.savefig(fname)\n    #    return ipix\n    \n    @property\n    def lsst_4Most_overlap(self):\n        \n        pixels_4most = set(list(self.foremostPixels[1]))\n        pixels_lsst = set(list(self.lsst_avail.hid))\n        lsst_missing_in_4most = pixels_lsst - pixels_4most\n        foremost_missing_lsst = pixels_4most- pixels_lsst\n        overlap = pixels_4most.intersection(pixels_lsst)\n        \n        return lsst_missing_in_4most, foremost_missing_lsst, overlap\n    \n    def plot_maps(self, map_name, threshold=None, fname=None):\n        \"\"\"\n        map_name : string, {'4most'|'lsst'|'missing_in_4most'|'missing_in_lsst'|'overlap'}\n            option of which map to plot\n        \n        \"\"\"\n        ipix = np.ones(hp.nside2npix(self.NSIDE)) * hp.UNSEEN\n        \n        if map_name=='4most':\n            ipix = self.foremostPixels[0]\n            if threshold is not None:\n                ipix[ipix > threshold] = threshold\n        \n        elif map_name=='lsst':\n            ipix[self.lsst_avail.hid] = self.lsst_avail.numVisits\n        elif map_name == 'missing_in_4most':\n            ipix[list(self.lsst_4Most_overlap[0])] = 1\n        elif map_name == 'missing_in_lsst':\n            ipix[list(self.lsst_4Most_overlap[1])] = 1\n        elif map_name == 'overlap':\n            ipix[list(self.lsst_4Most_overlap[2])] = 1\n       \n        hp.mollview(ipix, nest=True)\n        if fname is not None:\n            plt.savefig(fname)\n        return ipix\n    \n    def overlap_area(self, pixels):\n        return len(pixels) * hp.nside2pixarea(self.NSIDE, degrees=True)",
   "execution_count": 31,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "co = CadenceOverlaps('../data/4MOST_healpix.csv', '/Users/rbiswas/Downloads/kraken_2026_wfd_avail.csv')",
   "execution_count": 32,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "missing_from_4Most = co.lsst_4Most_overlap[0]",
   "execution_count": 33,
   "outputs": []
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "x = co.plot_maps('missing_in_4most', threshold=1)",
   "execution_count": 34,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 612x388.8 with 2 Axes>",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ]
  },
  {
   "metadata": {
    "trusted": true
   },
   "cell_type": "code",
   "source": "co.overlap_area(co.lsst_4Most_overlap[0])",
   "execution_count": 35,
   "outputs": [
    {
     "output_type": "execute_result",
     "execution_count": 35,
     "data": {
      "text/plain": "5417.7978473965586"
     },
     "metadata": {}
    }
   ]
  }
 ],
 "metadata": {
  "gist_id": "2162bfc4a2f5ed878f57a700695e9935",
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3",
   "language": "python"
  },
  "language_info": {
   "name": "python",
   "version": "3.6.5",
   "mimetype": "text/x-python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "pygments_lexer": "ipython3",
   "nbconvert_exporter": "python",
   "file_extension": ".py"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}