Untitled.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import fetch\n",
    "import map_ids\n",
    "from itertools import takewhile\n",
    "import sys\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import matplotlib.patches as mpatches\n",
    "\n",
    "from skbio.tree import TreeNode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "def mp2gg_profile(filename, mp_clades, gg97, verbose=False):\n",
    "    tree = read_mp_output(filename)\n",
    "\n",
    "    profile = {}\n",
    "    for t in sorted(tree):\n",
    "        marker = None\n",
    "        for c in reversed(t.split(\"|\")):\n",
    "            if '_unclassified' in c:\n",
    "                c = c[:-len('_unclassified')]\n",
    "            if c in mp_clades:\n",
    "                marker = c\n",
    "                break\n",
    "        \n",
    "        # look for suffixes:\n",
    "        found_otus = []\n",
    "        for taxid in mp_clades[marker]['suffixes']:\n",
    "            if match_taxid_to_otuid(taxid, gg97) != []:\n",
    "                found_otus.extend(match_taxid_to_otuid(taxid, gg97))\n",
    "        if found_otus == []:\n",
    "            for taxid in mp_clades[marker]['lca']:\n",
    "                if match_taxid_to_otuid(taxid, gg97) != []:\n",
    "                    found_otus.extend(match_taxid_to_otuid(taxid, gg97))\n",
    "\n",
    "        # nothing found\n",
    "        if found_otus == []:\n",
    "            found_otus = [-1]\n",
    "\n",
    "        if verbose or (found_otus == [-1]):\n",
    "            print(\"%s\\t%f\\t%s\" % (marker, tree[t], found_otus))\n",
    "        \n",
    "        # --> distribute abundance across all OTUs\n",
    "        for otuid in found_otus:\n",
    "            if otuid not in profile:\n",
    "                profile[otuid] = 0\n",
    "            profile[otuid] += tree[t] / len(found_otus)\n",
    "    \n",
    "    return profile\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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WLE/xvIwkLkIIIQqldevWkZCQgKOjo1Km1Wq5dOmSkrg8/aX8pkxNTbOV5fdi\n2y1bthAQEICvry9OTk6UKFGCn3/+WZmKed3PkpKSwogRI2jfvn22c8+2+bIEJDg4mBUrVjBx4kRq\n1KhB8eLFmTlzJhkZGa8V14tI4iKEEELvzpw5o3N86tQp1Gr1a99tiY+PZ+/evcyfP5/q1asr5RqN\nhr59+3Lw4EFatWpFrVq1OHLkiM4UzLOKFCmis0j1dZibm1O6dGlOnDhB48aNlfITJ05ku9N0+vRp\npY5Go+H8+fN4enoCcPLkSRo2bEifPn2U+tHR0cr3JUqUoEKFChw5coSmTZvmGIuJiQlZWVk6ZQ4O\nDly7du2N38R94sQJ2rVrR+fOnYEnidu1a9eoUaPGG7X7PElchBBC6F1MTAz+/v706tWL8+fPs2LF\nCiZMmPDa7YWHh2Ntba2s/XiWi4sLa9eupVWrVgwZMoSuXbsyffp0+vTpg4mJCREREXTq1ImSJUtS\noUIFzpw5w+3btylevDglSz7ZWC+vd1M+//xzAgMDsbOzo3bt2oSGhhIVFcV3332nU2/lypVUrlyZ\nqlWrEhISQmJiIt27dwegcuXKbNiwgYMHD2JnZ8eGDRs4e/asTsLx1VdfMW3aNGxsbHBxcSE5OZmT\nJ08qa16eJjYNGjSgSJEiWFpaMnz4cIYOHUrZsmXp2LEjKpWKixcvcunSJUaNGpXr53p2HNRqNTt3\n7uTkyZNYWloSEhJCbGysJC5CCCFeXe2yloR/2bLA+8wrNzc30tLScHd3x9jYGC8vrzdamLt+/foc\npz4A2rdvz/jx44mPj0etVvPLL78wb948evXqhZmZmfIoMsDAgQPx8fHh448/5vHjx8rmbXm9E/TZ\nZ5+RnJxMQEAAsbGxVK9enSVLllCpUiWljkqlYty4cQQFBREVFUXlypVZsmSJkiz17t2bCxcuMGbM\nGFQqFR9//DEeHh7s379facPNzY309HRCQkIICAjA2tqaDh06KOd9fHyYPXs2a9asoUyZMuzZs4dW\nrVrx008/sXjxYv7zn/9gYmJC1apVlSeHcvu8z5YPGzaMW7duMWjQIIoVK0avXr346KOPSEpKytNY\nvYxKa0g73ryj/vknf34oJiZGWFuXIC7uEZmZWS+/4B0iseuHxK4f+oi9VCmLAulHHzw9PXFwcFCe\nKhIiN7KPixBCCCEMhkwVCSGE0KsXTUNERkYyePBgVCpVtjUlzz6mm1N7J06cyPc4xbtBEhchhBB6\nldO29QDLF/4EAAAgAElEQVSOjo5s3Lgxx3NpaWmYmZm9zbDEO0oSFyGEEO+kIkWKvPEjuqLwkTUu\nQgghhDAYkrgIIYQQwmBI4iKEEEIIgyGJixBCCCEMhizOFUKIQixLqyHh8f0C7dOqaGmMVMYF2qf4\n95DERQghCrGEx/fZH7OyQPt0Ke+BtVm5Au3zdbRp04YvvvgCDw+PfG+7b9++ODk58fXXX+d72/92\nkrgIIYQolDw9PTl27JhOmUql4vz58xgZGREeHk7x4sXfSt9LlizBxCT/fsUuWLCAAwcOEBoamm9t\nGipJXIQQQhRavXr1YuTIkTplRkZPlndaW1vnem1mZuZrJx+Wlnl/0eTL5PXFjoWVLM4VQgihV56e\nnvj5+eHn50fjxo1xdnbm+++/z5e2ixUrhq2trc7XU23atGHlyifTaBqNBnt7e9asWcPQoUNp0KAB\nwcHBHDlyBHt7ew4fPswnn3xC/fr1GThwIHFxcfzxxx906tSJRo0a8X//93+kp6crbfft25eAgADl\nOD09HX9/f9q0aYOjoyMdOnQgPDwcgLVr1+Ls7KwT9/bt26lTp45yfsmSJZw/fx57e3tq167Npk2b\nAEhISMDX1xdnZ2caN27MgAEDuHTpktLOhQsX8PT0pGHDhjRq1IiePXsSFRWVL2OrL3LHRQghhN6F\nh4fTs2dP1q1bx7lz55g8eTLly5fH3d29QONYuHAh48aNY/LkyRgbG3Pt2jUAAgMD8fPzw8TEhJEj\nRzJy5EjMzMxYsGABSUlJDB8+nFWrVuHl5ZVju2PHjuX8+fNMmzaNmjVrcvv2beLi4pTzz99NUalU\nSlnXrl25fPkyERER/Oc//0Gr1WJh8eRt4d7e3pQsWZKlS5dSvHhxJYadO3dibm7OmDFjaNCgATNm\nzEClUvHXX39hbGzYC6clcRFCCKF35cqVw9fXFwC1Ws3FixdZtmzZGycuK1euZM2aNcCTZKB3796M\nHz/+hfXd3Nxwc3NTjq9du4ZKpWLMmDE4OjoC0L17dxYuXMh///tfypQpA8BHH33En3/+mWPicvny\nZXbt2sWKFSto3LgxABUqVHjlz1C0aFGKFSuGsbExNjY2SnlERASXLl3i0KFDypSWj48Pu3fvZufO\nnXTv3p27d+/SokULKleuDEClSpVeud93lSQuQggh9K5+/fo6x05OTixduhStVvtGazu6du3KsGHD\nlOOndype5On0zPNq1aqlfP/ee+9hbm6uJC0Atra2OlM0z4qKisLU1JRGjRrlJfSXioqKIikpiSZN\nmuiUp6enc/PmTQD69++Pj48P69evp3nz5nTq1Ak7O7t8jaOgSeIihBCi0LKwsMjTixpf9JTR84t0\nnz9WqVRkZWXleO3L3mJtZGSEVqvVKcvMzHxZqKSkpFC2bFmWLVuW7dzTxcGjRo3ik08+Yd++fezf\nv5/AwEAWLFjABx988NL231WSuAghhNC7M2fO6ByfOnUKtVpdKJ6kqVmzJpmZmURGRma7OwJgY2ND\nUlIS6enpFClSBIC//vpLp46pqWm2xMjBwYH79+9TpEgRnbs/z6tSpQpVqlTBy8uLkSNHEhYWZtCJ\nizxVJIQQQu9iYmLw9/fn2rVrbN68mRUrVtC/f399h5UvKlWqRJcuXfDx8WHPnj3cunWLo0ePsn37\nduDJNFmRIkWYN28e0dHRbNiwgY0bN+q0UaFCBW7evElUVBRxcXGkp6fTunVr6tWrx7Bhwzh8+DC3\nbt3i+PHjzJs3j6ioKFJSUpgxYwbHjh0jJiaGyMhIzp8/T7Vq1fQxDPmmUN1xiYyMJDg4mPPnz/PP\nP/+wePFi2rVrl+s1R48exd/fn7///pvy5cszdOhQunXrVkARCyHE22VVtDQu5fN/Z9iX9ZlXbm5u\npKWl4e7ujrGxMV5eXm+8MPdld2tyepInvzzf1owZM/juu++YNm0aCQkJlC9fXll7Y2NjQ0BAAHPn\nzmX16tW0aNECb29v/Pz8lOs7derE3r178fT0JDk5mYCAALp06UJwcDDz58/Hx8eHuLg4SpUqRZMm\nTbCxscHExISHDx8yfvx4Hjx4gI2NDR06dODLL7/Mt8+pDyrt8xNrBmz//v2cPHmSOnXq8NVXXxEY\nGJhr4nLr1i26dOnCp59+Ss+ePTly5AjffvstQUFBtGzZ8pX7/eefpPwIHxMTI6ytSxAX94jMzJzn\nSt9VErt+SOz6oY/YS5XKfVGpIfP09MTBwUF5qkiI3BSqOy4uLi64uLgAZFvolJPffvsNOzs75V0S\nVatW5fjx44SEhOQpcRFCCCFEwShUiUtenT59mhYtWuiUtWrVilmzZukpIiGE+Pd50RRNZGQkgwcP\nRqVSZftj9PHjxxQtWvSF7Z04cSLf4xTvhn914vLPP//obP8MT57FT05O1lnd/TKnTp3AyOjN50aN\njFSYm5uRnJxGVtabz+DVrVsv18+Qnp7OuXNn37gfkNifJbG/Gon9f14We2H366+/5lju6OiYbZHq\nU2lpaS99zFgUTv/qxCW/7Jgzk8rPJUD6diM2lmLTpmW7o/SsY8f+4vqv/8GhfPl86TMTyI9/Rv6K\nicHS2zvHxwafktj/R2Iv/LH/WxUpUiRPe7CIf4d/deJSqlQpYmNjdcpiY2MxNzfP018/p0vGc6vU\nu7XGOVaTwIeJqcTFPXphncTEVBzKl6eJWl1wgb2iRIldLyR2/XhZ7ADW1iUKKBoh3m3/6sTFycmJ\n/fv365QdOnQIJyenPLXToW9zaji+W38V/H0mGiMj41yfeNBo3t0nOTSaLIldDyR2/XhZ7EKI/ylU\nG9ClpKQQFRXFhQsXAIiOjiYqKoo7d+4A8N133+m8XKtPnz5ER0czZ84crl69ysqVK9mxYwcDBgzQ\nS/xCCCGEyF2huuNy7tw5PvvsM+V14P7+/sCTjY1mzZrFgwcPlCQGwM7OjqCgIGbNmsXy5cspW7Ys\nM2bMyHVdiBBCCCH0p1AlLk2bNiUqKuqF53N6zLlJkyasX7/+bYYlhBB6k6HJ4O+4iwXaZw3rWpga\nmxZon+Lfo1AlLkIIIXT9HXeRAVsLdsv/pa4rcXivboH2WVgY4i7Cbdu2xcvLi88++6xA+pPERYgC\nlpGRwV8xMfoOI5u/YmIom5Gh7zCEyDeenp4cO3YM+N+j1R4eHvTt2/eN2o2IiOCzzz4jMjISc3Pz\n/Ai1QPn6+pKUlERgYGC+tBcaGkrx4sXzpa1XIYmLEHrwe+oFbB+9W8lLbGoCo/QdhBD5rFevXowa\nNYqUlBTCw8P55ptvKFmyJK6urtnqZmRkYGr68ikurVab426+/zZPx8va2rpA+5XERRgkQ75rYWpq\n+s4+Qv8q/2gLkd88PT2pWbMmABs2bMDExIRPP/2UkSNHvnHbxYoVw8bGBhsbG7y9vdm8eTN79uzB\n1dWVwMBAdu/ejYeHB0uWLOHOnTv89ddfpKenExAQwNatW0lOTqZu3br4+vpSr149bt++Tf/+/VGp\nVDRp0gSVSqU8AKLVagkKCmLNmjU8ePCAKlWqMGzYMDp06KDEExERwZw5c4iKisLKyopu3boxevRo\njIz+95CvRqPBz8/vhWOxYcMGfv31V65du0bx4sVp1qwZEydOxMbGRqlz+fJl5s6dy7Fjx9BqtTg4\nODBr1iw2bNhAWFgYKpUKe3t7VCoVv/76K02aNOHu3bvMnj2bQ4cOYWRkRKNGjZg4cSIVKlQAntyp\nSUxMpF69eqxcuZKiRYuye/fubFNFISEhhIaGcuvWLaysrPjggw/4+uuvKVas2Bv/PEESF2HApiRs\np+g7tk3644R0guin7zCEMDjh4eH07NmTdevWce7cOSZPnkz58uVxd3fP136KFi1KxjN/XNy4cYNd\nu3axePFiJXkICAhg165dBAQEUK5cOYKDgxk0aBC7du2iXLlyLFq0iBEjRrBz505KlCihvDNpyZIl\nbN68GT8/PypVqkRkZCRff/01tra2NG7cmHv37jFkyBB69OhBQEAAV69eZdKkSRQtWhRvb28lpvXr\n1+Pu7v7CsdBoNIwaNYoqVarw8OFDZs2aha+vLz/99BMA9+7dw8PDA2dnZ5YvX465uTknT55Eo9Hw\n+eefc+XKFR49esTs2bPRarVYWVmRmZnJ559/TsOGDfntt98wMjLixx9/ZNCgQWzatAkTkyfpwpEj\nR7CwsCAkJOSFY2xkZMTkyZOxs7MjOjqa6dOnM2fOHKZMmZIvP0NJXIRBMjU1paSTJeZVC25e9VUk\nX02RuxZCvIZy5copC1LVajUXL15k2bJl+Za4ZGVlsWnTJi5dukSfPn2U8szMTAICAihZsiQAqamp\n/P777wQEBNCqVSsA/Pz8OHToEOvWrWPgwIFYWVkBYGNjo6xxSU9PJygoiJCQEOrXrw882XIjMjKS\n33//ncaNG7Nq1SrKlSvHpEmTAKhSpQr37t3ju+++00lcypcvn+tYdO/eXalrZ2fHhAkT6NWrF6mp\nqRQrVoyVK1diaWnJvHnzMDY2BqBSpUrKNWZmZmRkZOjcodm4cSNarRY/Pz+lbObMmTRt2pSIiAhl\nm5DixYszY8YMJZHJybOLdMuXL8/IkSOZNm2aJC7i3y0jI4PU22n6DiOb1NtpOn/NCSFezdNf9k85\nOTmxdOlSZT3J61q5ciVr1qwhIyMDExMTvLy8+PTTT5Xz5cuXV5IWgJs3b6LRaGjQoIFSZmJigqOj\nI1euXHlhPzdv3iQ1NZUBAwborH3JzMykTp06AFy9ejXbzuwNGzYkJSWFu3fvUrZsWeDlY3Hu3DkC\nAwO5ePEiCQkJSn8xMTFUq1aNqKgoGjdurCQtryIqKoobN27ofG54kpDdvHlTSVxq1aqVa9ICcPjw\nYYKCgrh69SrJycloNBrS09NzfaN3XkjiIgxWEzN7ypZ4t15uedcs9uWVhBAFpmvXrgwbNoyiRYtS\nunTpbOfz62mYlJQUAIKCgihTpozOufx883dqaiqDBg3CxcWFuXPnYmNjQ0xMDIMGDVL+aHqdt2an\npKRQt25d5s6dm+3cs4tvX7ZO5fbt2wwdOhQPDw/GjBmDlZUVkZGRTJo0iYyMDElcxL+XqakpTdo5\nyAJXIQqJM2fO6ByfOnUKtVr9RndbACwsLPL0hulKlSphYmLCiRMn+Pjjj4End03Onj2rvA7m6f/j\nGo1Gua5atWoUKVKEmJgYGjdunGPbVatWZdeuXTplx48fp0SJEsrdFsh9LK5evUpCQgJjx45VEqTn\n69esWZMNGzag0WhyvOtiamqqEztAnTp12LZtGzY2NpQo8fov9Dx//jxarVbn9Tpbtmx57fZyUqje\nVSSEEMIwxcTE4O/vz7Vr19i8eTMrVqygf//+BR5HsWLF+PTTTwkICODAgQNcvnyZSZMmkZaWRo8e\nPYAn00sqlYo//viDhw8fkpKSQokSJRg4cCCzZs0iPDyc6Oho/vrrL1asWEF4eDgAffv25c6dO/j5\n+XH16lV2795NYGBgtvfj5TYW5cqVw9TUlF9//ZXo6Gj27NnDjz/+qHN9v379SE5OZvTo0Zw7d44b\nN26wYcMGrl+/DkCFChW4ePEi165dIy4ujszMTLp06YK1tTVffvklkZGR3Lp1i6NHjzJjxgzu3bv3\nyuNXqVIlMjMzlfjCw8NZvXr16/44ciR3XIQQohCrYV2Lpa4rC7zPvHJzcyMtLQ13d3eMjY3x8vJ6\n44W5r3u3Zty4ccpdg0ePHlG3bl1++eUXLCwsAChTpgxfffUVc+fOZcKECXzyySfMmjWLUaNGYWtr\nS1BQENHR0VhaWuLg4MCQIUOU637++WcCAgJwc3PDysqKXr16MWzYMJ2YcxsLGxsbZs+ezbx581ix\nYgUODg74+PjotFGyZEmWLVtGQEAAnp6eGBsbU7t2bRo1agSAu7s7ERER9OjRg9TUVOVx6JUrVzJ3\n7lxGjBjBo0ePKFOmDM7Ozi/dZO/Zcba3t8fHx4fg4GDmz59P48aNGTt2rM4dmDel0v7bd9DJB3PD\nR76TUxaOxbvRoEGjF9Y5efI4Fn/soIlaXXCBvYJj16+T9EGHl8Z+JiXMYMfdkGM35P9mDDV2gFKl\nLAooooJniNvcC/2RqSIhhBBCGAyZKhJCCKFXL5rSiYyMZPDgwTlur5/bo7UqlYoTJ07ke5zi3SCJ\nixBCCL369ddfcyx3dHRk48aNOZ5LS0t7rcd+heGTxEUIIcQ76ekbnYV4lqxxEUIIIYTBkMRFCCGE\nEAZDEhchhBBCGAxJXIQQQghhMGRxrhBCFGJajQZiC/jln7a2qPLwZmIh8kISFyGEKMxiY9GEhRVo\nl8bdukEOb2IWL/Yquwe3bdsWLy8vPvvsswKM7N0jU0VCCCGEMBiSuAghhBDCYEjiIoQQQq/atm2b\nbfdcNzc3AgMDgSdvHF67di3e3t44OTnRoUMH9u7dq9SNiIjA3t6egwcP0q1bN+rXr4+XlxcPHz5k\n3759uLq60qhRI8aOHcvjx4+V6w4cOEDfvn1p0qQJzZo1Y+jQoURHRyvnb9++jb29PVu3bqVPnz44\nOjrSpUsXjh07lq3vffv20bVrVxwdHenduzd///23Uic+Pp6xY8fi4uKCk5MTXbp0YcuWLdnGQaPR\n4OfnR+PGjXF2dub777/PddySkpKYOHEizZs3p1GjRnh5eREVFfWKo264JHERQgjxzvvhhx9wdXVl\n06ZNuLi4MG7cOBITE3XqBAYGMnXqVFavXs2dO3cYOXIky5cvZ968eQQFBXHo0CGWL1+u1E9NTWXg\nwIGsX7+eZcuWYWRkxPDhw7P1PWfOHAYNGkR4eDhOTk4MHTqUhISEbHV8fX0JDQ3F2tqaYcOGodFo\ngCfvVapbty4///wzmzdvpk+fPowfP56zZ8/qtLF+/XpMTExYt24dkyZNIiQkhLVr175wTEaMGEF8\nfDz/+c9/CAsLw8HBgQEDBmQbl8JGEhchhBDvvO7du+Pq6krFihUZM2YMKSkpnDlzRjmvUqkYPXo0\nTk5O2Nvb06NHDyIjI5k+fTr29vY0atSIDh06cPToUeWa9u3b8+GHH1KxYkXs7e2ZMWMGly5d4vLl\nyzp99+vXjw8//JCqVasybdo0LCwsWLdunU4db29vmjdvTo0aNfD39+fBgwfs2rULgDJlyjBgwABq\n1aqFnZ0dHh4etGrVim3btum0Ub58eXx9fVGr1XTu3Jl+/fqxbNmyHMcjMjKSc+fOsWDBAhwcHKhU\nqRJff/01FhYW7Nix443G+l0nTxUJIYR459WsWVP5vlixYpibmxP73GPez9Z57733MDMzo0KFCjpl\nz97luHHjBgsXLuT06dPExcWRlZWFSqUiJiaG6tWrK/Xq16+vfG9sbEzdunW5cuWKUqZSqXByclKO\nraysqFKlilInKyuLH3/8ke3bt3P//n3S09PJyMigWLFiOvE/2w+Ak5MTS5cuRavVZnuD9sWLF3n0\n6BFNmzbVKU9PT+fmzZvPD1+hIomLEEIIvTIyMkKr1eqUZWZm6hybmOj+ulKpVNmuMTU11Tn/7HFO\n1wwZMgQ7OztmzJhB6dKl0Wq1fPzxx2RkZLzR53lecHAwK1asYOLEidSoUYPixYszc+bMN+onJSWF\n0qVL60x9PWVhYfEm4b7zZKpICCGEXtnY2PDPP/8ox8nJydy6deut9hkfH8/169cZNmwYzs7OVK1a\nlbi4uBzrnj59Wvleo9Fw/vx5nTsyWq2WU6dOKccJCQlcv35dqXPixAnatWtH586dlemia9euZevn\n2akvgFOnTqFWq7PdbQGoU6cODx48wNjYmIoVK+p8lSxZMm+DYWDkjosQQgi9cnZ2JiwsjPfffx8L\nCwsWLVqEcR533n3+7svLWFlZUbJkSdasWUOpUqW4ffs28+bNyzFJWLlyJZUrV6Zq1aqEhISQmJhI\n9+7ddeosXrwYKysrbG1tmT9/PtbW1rRr1w4AtVrNzp07OXnyJJaWloSEhBAbG0uNGjV02oiJicHf\n359evXpx/vx5VqxYwYQJE3KMv0WLFjg5OTF8+HDGjRuHWq3m3r177Nu3j/bt21OnTp08jYchkcRF\nCCEKM1vbJzvZFnCfefHFF19w+/Zthg0bhoWFBSNGjOD27dtKEpFTMvF8WU51cqNSqZg/fz4zZ86k\nS5cuVKlShUmTJuHp6Zmt7rhx4wgKCiIqKorKlSuzZMkSnbsaKpWKcePG8e2333Ljxg0cHBxYsmSJ\nMr01bNgwbt26xaBBgyhWrBi9evXio48+IikpSacNNzc30tLScHd3x9jYGC8vL9zd3V/4GYOCgpg/\nfz4TJkzg4cOHlCpVisaNG/Pee+/laSwMjSQuQghRiKmMjd/57ffNzc357rvvdMrc3NyU7y9cuJDt\nmoiICOX7pk2bZqvTrVs3uj2XsHl7e+Pt7a0cN2/enM2bN+vUeb4dlUpF1apVWbNmTa6foVGjRmza\ntCnHc1ZWVsqeNC/y7D42U6dOzbHOnj17dI6LFy/OxIkTmThxYq5tFzayxkUIIYR4gVeZgsrrNJV4\nM5K4CCGEEC/wKlNQeZ2mEm9GpoqEEEKIHFSoUCHHaapn5TRNJd4uueMihBBCCIMhiYsQQgghDIYk\nLkIIIYQwGJK4CCGEEMJgSOIihBBCCIMhiYsQQgghDIYkLkIIIYQwGJK4CCGEEMJgSOIihBBCCIMh\niYsQQgghDIYkLkIIIYQwGJK4CCGEEMJgSOIihBBCCIMhiYsQQgghDIYkLkIIIYQwGJK4CCGEEMJg\nSOIihBBCCIMhiYsQQgghDIYkLkIIIYQwGJK4CCGEEMJgSOIihBBCCIMhiYsQQgghDIYkLkIIIYQw\nGJK4CCGEEMJgFLrEZeXKlbRt2xZHR0d69erFmTNncq2/ceNGPvnkE5ycnGjVqhUTJkwgPj6+gKIV\nQgghRF4UqsRl69atzJ49mxEjRhAWFoa9vT2DBg3i4cOHOdY/fvw4Pj4+9OrViy1btrBw4ULOnj3L\nlClTCjhyIYQQQryKQpW4hISE0Lt3b9zc3KhWrRrTp0/HzMyM0NDQHOufPn0aOzs7PDw8qFChAg0b\nNqR3794vvUsjhBBCCP0oNIlLRkYG58+fp3nz5kqZSqWiRYsWnDp1KsdrnJycuHPnDvv27QPgwYMH\nbN++nTZt2hRIzEIIIYTIG5PXvTAhIYG///6bO3fu4OLigpWVFY8fP8bU1BQjo4LPh+Li4tBoNLz3\n3ns65ba2tly7di3Haxo2bMicOXMYPXo06enpZGZm0rZt20IzVWRsbISJyYt/FsbG727eKrHrh8Su\nHy+LXQjxP3lOXLRaLfPnz2f58uWkpqaiUqlYt24dVlZWeHt7U79+fby9vd9GrPnu8uXLzJw5k6++\n+oqWLVvyzz//4O/vz5QpU5g5c6a+w3tjlpbFsLYukev5zAKMJy9eJXaSCjCgPCjssRvyfzOGGrsQ\n4n/ynLgsWLCAFStWMH78eJo3b06HDh2Uc23btmXt2rV6SVysra0xNjbmwYMHOuWxsbHZ7sI8FRQU\nRMOGDRkwYAAANWvWZOrUqXh4eDB69OgXXmcoEhNTiYt7lOv54gUYT168SuzvqsIeuyH/N2OosQOS\n2Ajx/+U5cQkLC2PMmDH06dMHjUajc65SpUpER0fnW3B5YWpqSp06dThy5Ajt2rUDntwdOnLkCJ6e\nnjlek5aWhqmpqU6ZkZERKpUKrVb71mN+2zSaLDIzs3I9/66S2PVDYtePl8UuhPifPE+qxsfHU61a\ntRzPaTQaMjP1dzPWy8uLtWvXEh4ezpUrV5g6dSppaWl0794dgO+++47x48cr9T/44AN27NjBb7/9\nRnR0NMePH2fmzJnUr1+fUqVK6etjCCGEEOIF8nzHRa1Wc+jQIZ2nd56KiIigRo0a+RLY63B1dSUu\nLo6FCxfy4MEDateuTXBwMDY2NsCTp4bu3Lmj1O/WrRspKSmsWrWKgIAALCwsaN68OWPHjtXXRxBC\nCCFELvKcuHh5eTF58mRMTEzo2LEjAHfv3uXUqVMsX76cWbNm5XuQeeHh4YGHh0eO53KKLbf6Qggh\nhHi35Dlx6d69OwkJCSxatIiffvoJgOHDh1OsWDFGjRqFq6trvgcphBBCCAGvuY/LgAED6NWrFydP\nniQuLg4rKysaNGiAhYVFfscnhBBCCKF47Q3oSpQoQatWrfIzFiGEEEKIXOX5qaLly5czd+7cHM/N\nnTuXlStXvnFQQgghhBA5yXPismrVKipVqpTjObVazapVq944KCGEEEKInOQ5cYmJiaFy5co5nqtY\nsSK3b99+46CEEEIIIXKS58TF3NycW7du5XguOjoaMzOzNw5KCCGEECIneU5cWrZsyeLFi3U2coMn\ne7n88MMPuLi45FtwQgghhBDPyvNTRWPHjqV379507NgRZ2dnSpcuzf379/nzzz+xsbGRXWeFEEII\n8dbk+Y5LmTJlCA8Px8vLi/j4eCIiIoiPj2fAgAGEhYVRpkyZtxGnEEIIIcTr7eNSsmRJRo8end+x\nCCGEEELkKs93XIQQQggh9CXPd1zS0tL44Ycf2LFjB3fv3iU9PT1bnQsXLuRLcEIIIYQQz8pz4jJ9\n+nQ2b95M586dqVatGqampm8jLiGEEEKIbPKcuPzxxx+MHz+efv36vY14hBBCCCFeKM9rXIyNjVGr\n1W8hFCGEEEKI3OU5cfn000/ZsGHD24hFCCGEECJXeZ4qMjMz4/jx4/Tp04fmzZtjaWmpc16lUuHl\n5ZVf8QkhhBBCKPKcuMydOxd48rLFU6dOZTsviYsQQggh3pY8Jy5RUVFvIw4hhBBCiJd6rZ1zhRDC\n0GRkZPBXTIy+w8jmr5gYymZk6DsMIQzGaycujx8/Jjo6msePH2c7V6dOnTcKSggh3oYpCdspWqSI\nvsPQ8TghnSBkewkhXlWeE5f09HSmTZvGxo0b0Wg0OdaRnXOFEO+ioqWKUKyCmb7DEEK8gTwnLosX\nLxb2j3YAACAASURBVObQoUPMnj2bcePGMWXKFIoXL87GjRu5efMmkydPfhtxCiHEG2tiZk/ZErb6\nDkPHXbNYfYcghEHJc+Kyfft2vL296dSpE+PGjcPR0ZG6devi5ubG+PHj2bt3L23atHkbsQohxGsz\nNTWlSTsHajhW1HcoOv4+Ey2vThEiD/K8Ad3du3epUqUKxsbGFC1alMTEROVc165d2b59e74GKIQQ\nQgjxVJ4Tl1KlShEfHw+AnZ0dR48eVc5dv3493wITQgghhHhenqeKmjZtyvHjx/nwww9xd3cnICCA\nq1evYmpqyu7du+ncufPbiFMIIYQQIu+Jy+jRo4mLiwNQdsjdvn07jx8/xtPTk+HDh+drgEIIIYQQ\nT+U5cSlVqhSlSpVSjr28vGSLfyGEEEIUiDyvcRFCCCGE0JdXuuPStm1bVCrVKze6Z8+e1w5ICCGE\nEOJFXilxadeunU7ismPHDpKTk2nRogW2trbExsZy+PBhLCws6NChw1sLVgghhBD/bq+UuEycOFH5\nPjg4mHLlyhEcHIy5ublSnpSUxODBg7G1fbd2pRRCCCFE4ZHnNS7Lly/niy++0ElaACwsLBg8eDAr\nVqzIt+CEEEIIIZ6V58QlISGBpKSkHM8lJSXp7KQrhBBCiP/X3p2HR1Effhz/bJINN+QgQLkaElrJ\nL0cBayVRsBAQiMEgtGCNKFrQtAQEbavYWDl8OBQebqhyNBRBRRGrAYF6IIoRlafIJfUATARDsrCc\nQrLZzO8PaiQmhGzYzWTW9+svdr4z6ydxHvjs7He+A2/yuLj06NFDs2bN0ocfflhh+44dOzR79mz1\n6NHDa+EAAAAu5fE6LlOmTNEf/vAH3X333WrWrJlCQ0PldDp15swZxcTEaPLkyb7ICQAA4HlxadWq\nldatW6dt27Zp9+7dKioqUkREhBISEtSrVy9fZAQAAJBUi+LynV69elFUAABAnap1cTl27JiOHTum\n4uLiSmPXXXfdVYUCAACoisfFJT8/X3/+85/1ySefSJIMw6gwbrPZ9Omnn3onHQAAwCU8Li5ZWVk6\nduyYpk2bpujoaAUHB/siFwAAQCUeF5fdu3dr5syZuvnmm32RBwAA4LI8XseldevWCgjgodIAAKDu\neXzFZcKECVq6dKl++ctfKiQkxBeZUEdcLpf2Hz1qdoxK9h89qjYul9kxAAD1kMfFZf369SooKFCf\nPn0UExOjZs2aVRi32WxasmSJ1wLCt/52apMa1LN5SsWnSvSM7jQ7BgCgHvK4uJw7d04dO3as8BrW\nZLfbFdK1uZpGNTY7SgVnD34ru91udgwAQD3kcXFZtWqVL3IAAABcEbNsAQCAZXh8xWXhwoVX3Ccz\nM7NWYVC3XC6Xzh+5YHaMSs4fuSAXk3MBAFXwuLisXLmy0rZvv/1WbrdbDRs2VHBwMMXFQq5r2EVt\nmoSbHaOCgobHzY4AAKinPC4uH330UaVtpaWlys3N1VNPPaUnn3zSK8Hge3a7Xdcl/59+ltDB7CgV\nfL47n8m5AIAqeWWOS1BQkHr27Km77rpLkyZN8sZbAgAAVOLVyblt2rTRgQMHvPmWAAAA5bxWXPLz\n87V06VJ16FC/vnYAAAD+w+M5Lt26dZPNZquwrbS0VC6XSw0bNqzRXUcAAAC14XFxuffeeysVl+Dg\nYLVp00a9evXi+UUAAMBnPC4uY8eO9UUOAACAK/K4uHznzJkz+u9//6uioiJFRETommuuqfTARQAA\nAG/yuLiUlZVp7ty5WrVqlc6fP1++vVGjRrrzzjs1fvx4BQYGejWkJ1avXq3ly5fL4XCoS5cuysrK\nUkJCwmX3Lykp0aJFi/Taa6+pqKhIrVq10pgxYzRkyJA6TA0AAGrC4+Ly5JNP6tlnn9V9992n/v37\nq2XLlnI4HNq0aZOWLl0ql8ulRx55xBdZr2jjxo2aMWOGpk6dqvj4eK1cuVKjRo3Spk2bFBYWVuUx\nDzzwgJxOp6ZNm6aOHTuqqKhIZWVldZwcAADUhMfFZf369Ro3bpzuu+++8m3h4eG65ppr1LBhQ61Y\nscK04pKdna3hw4dr8ODBkqTJkydr69atWrdunUaPHl1p/23btmnnzp1644031Lx5c0lS27Zt6zQz\nAACoOY/XcXG73YqNja1yLDY2Vm63+6pD1YbL5dK+ffuUmJhYvs1msykpKUm7du2q8pi3335bcXFx\nWrp0qXr16qX+/ftr5syZKi4urqvYAADAAx5fcenfv782bNigG264odLYhg0b1K9fP68E85TT6ZTb\n7VbLli0rbA8PD9ehQ4eqPCY/P18ff/yxgoODtWjRIjmdTk2aNEmnTp3StGnT6iK2TwUGBigo6PLd\nNDDQqwsnexXZzUF2c1wpO4Dv1ai4bNmypfzP1113nebMmaMRI0aob9++Cg8P1/Hjx/XGG28oLy9P\nEyZM8FlYbzMMQwEBAZo9e7aaNGkiSZo4caIeeOABTZo0ScHBwSYnvDrNmzdSaGiTasd1pg4DeYDs\n5qhJ9tI6zOMJf/69A/hejYrLuHHjKm07duxYlU+KnjhxYvkck7oUGhqqwMBAORyOCtuPHz9e6SrM\ndyIiItS6devy0iJJUVFRMgxDBQUF6tixo08z+9rp0+fldJ6rdry+Irs5apK9cR3m8YQ//94lUWyA\n/6lRcXnzzTd9neOq2e12xcbGKjc3V8nJyZIuXlHJzc3ViBEjqjyme/fu2rx5s86fP69GjRpJkg4d\nOqSAgAC1adOmzrL7ittdptLSy98h5XbX37unyG4OspvjStkBfK9GxaVdu3a+zuEVI0eO1MSJExUX\nF1d+O/SFCxfK12SZPXu2CgsLNXPmTElSamqqlixZookTJ2rs2LE6ceKEnnrqKQ0dOtTyXxMBAOCP\nar1yriSdP3++yjtwzHpeUUpKipxOp+bPny+Hw6GYmBgtW7asfA0Xh8Ohb775pnz/xo0ba8WKFXri\niSf0m9/8RiEhIRo4cKDGjx9vSn4AAFA9j4uLYRhavHixXnjhBRUVFVW5z6effnrVwWorPT1d6enp\nVY5Nnz690rZOnTpp+fLlvo4FAAC8wOP777Kzs5Wdna309HQZhqGMjAyNGTNGkZGRateunaZOneqL\nnAAAAJ4Xl5deekljx47VqFGjJEl9+/ZVZmamNmzYoOjoaOXl5Xk9JAAAgFSL4nLkyBHFxMQoMDBQ\nQUFBOn369MU3CgjQHXfcoZdfftnrIQEAAKRaFJeQkBCdPXtW0sXn+uzfv798zOl06sKFC95LBwAA\ncAmPJ+d2795de/bsUe/evZWamqqFCxfK4XAoKChIa9eurfCsIAAAAG/yuLhkZmbq2LFjkqSMjAyd\nPn1aOTk5Ki4uVlJSkh577DGvhwQAAJBqUVyioqIUFRUlSQoODlZWVpaysrK8HgwAAOCHeBwpAACw\nDIoLAACwDIoLAACwDIoLAACwDIoLAACwjFoXl1OnTunjjz/Wa6+9plOnTkmSiouLVVZW5rVwAAAA\nl6rV06HnzJmjVatW6fz587LZbHrppZfUokULZWZm6he/+IUyMzN9kRUAAPzIeXzFZe7cuXr22Wf1\n8MMPa/PmzTIMo3ysT58+euutt7waEAAA4DseX3FZv369HnzwQd1+++1yu90Vxjp27Kj8/HyvhQMA\nALiUx1dcTp48qejo6CrH3G63SktLrzoUAABAVTwuLpGRkdq+fXuVYx9++KF+9rOfXXUoAACAqnj8\nVdHIkSP12GOPKSgoSAMGDJAkFRQUaNeuXVq1apWmT5/u9ZAAAABSLYrLkCFDdOrUKS1YsEBPP/20\nJGnMmDFq1KiRxo8fr5SUFK+HBAAAkGpRXCTpnnvu0bBhw/Sf//xHTqdTLVq0ULdu3dSsWTNv5wMA\nACjncXE5fPiwIiMj1aRJE914442+yAQAAFAljyfnDhgwQEOHDlV2draOHTvmi0wAAABV8ri4LFmy\nRJ06ddL8+fPVu3dvjRgxQmvXrtXJkyd9kQ8AAKCcx8Wld+/emjVrlt5//33NmjVLLVq00BNPPKEb\nb7xRGRkZysnJ8UVOAACA2k3OlaSGDRsqJSVFKSkpOnv2rDZv3qx58+bpnXfeUWpqqjczAgAASLqK\n4vKdPXv2aOPGjXr99ddVWFioTp06eSMXAABAJbUqLl988YVycnL0+uuv66uvvtJPfvIT3XLLLUpN\nTVVMTIy3MwIAAEiqRXEZNGiQvvjiC4WGhmrAgAGaNm2arr32Wl9kAwAAqMDj4hIXF6eHH35YiYmJ\nCgwM9EUmAACAKnlcXHgWEQAAMEuNisuWLVvUo0cPNW/eXFu2bLni/jfffPNVBwMAAPihGhWXcePG\nae3atUpISNC4ceOq3ddms+nTTz/1SjgAAIBL1ai4vPnmm4qIiCj/MwAAgBlqVFzatWtX/mebzaaI\niAjZ7fZK+5WWlqqwsNB76QAAAC7h8ZL/ycnJl/0q6MCBA0pOTr7qUAAAAFXxuLgYhnHZsZKSEgUH\nB19VIAAAgMup0VdFX375pb788svy1zt27FBBQUGFfYqLi7VhwwZ16NDBuwkBAAD+p0bF5fXXX9fC\nhQslXZzjMnv27Cr3a968Oeu8AAAAn6lRcbn77rt12223yTAM9e3bVwsXLqz0TCK73a6IiAjZbDaf\nBAUAAKhRcWnWrJmaNWsm6ftbo5nLAgAA6prHS/5femv0+fPnVVxcXGmfkJCQq0sFAABQBY+Li2EY\nWrx4sV544QUVFRVVuQ8r5wIAAF/w+Hbo7OxsZWdnKz09XYZhKCMjQ2PGjFFkZKTatWunqVOn+iIn\nAACA58XlpZde0tixYzVq1ChJUt++fZWZmakNGzYoOjpaeXl5Xg8JAAAg1aK4HDlyRDExMQoMDFRQ\nUJBOnz598Y0CAnTHHXfo5Zdf9npIAAAAqRbFJSQkRGfPnpUktW3bVvv37y8fczqdunDhgvfSAQAA\nXMLjybndu3fXnj171Lt3b6WmpmrhwoVyOBwKCgrS2rVrlZiY6IucAAAAnheXzMxMHTt2TJKUkZGh\n06dPKycnR8XFxUpKStJjjz3m9ZAAAABSLYpLVFSUoqKiJEnBwcHKyspSVlaW14MBAAD8kMdzXAAA\nAMxSoysuGRkZNX5Dm82mJUuW1DoQAADA5dSouJw7d87XOQAAAK6oRsVl1apVvs4BAABwRcxxAQAA\nllGr4vL5559rwoQJ6tu3r+Li4rRv3z5J0pw5c/TOO+94NSAAAMB3PC4u27dv12233aajR49q0KBB\nKi0tLR8LCgrSc88959WAAAAA3/G4uMyePVspKSl64YUXNGbMmApjMTExFR4BAAAA4E0eF5fPP/9c\naWlpki7e+nyp5s2by+l0eicZAADAD3hcXFq0aKHCwsIqxw4fPqyIiIirDgUAAFAVj4tL3759tWDB\nAh08eLB8m81mU1FRkZYvX67+/ft7NaCnVq9erT59+ighIUHDhg3T7t27a3Tczp07FRsbq9tuu83H\nCQEAQG15XFweeughhYaG6tZbb9Vvf/tbSdKjjz6qAQMGqFmzZsrMzPR6yJrauHGjZsyYoXHjxmn9\n+vXq0qWLRo0apRMnTlR73JkzZ/TII4/wZGsAAOo5j4tLs2bN9Pzzz2vy5Mnq1KmTkpKS1KlTJz3y\nyCNas2aNmjRp4oucNZKdna3hw4dr8ODBio6O1uTJk9WwYUOtW7eu2uMef/xxDRo0SF27dq2jpAAA\noDY8ejp0SUmJtm7dqpiYGA0dOlRDhw71VS6PuVwu7du3T/fff3/5NpvNpqSkJO3ateuyx61bt05f\nf/21Zs2apcWLF9dFVAAAUEseFZfg4GA99NBDWrZsmTp06OCrTLXidDrldrvVsmXLCtvDw8N16NCh\nKo85fPiw5syZozVr1iggwP8WEQ4MDFBQ0OV/rsDA+vszk90cZDfHlbID+J5HxUWSoqKi9M033/gi\nS50qKyvTn/70J40dO1YdO3aUJBmGYXIq72revJFCQy//1V3z5o2kM3UYyANkN0dNspdedtRc/vx7\nB/A9j4vLgw8+qGnTpik6Olrx8fG+yFQroaGhCgwMlMPhqLD9+PHjla7CSBefeL13714dOHBAU6ZM\nkXSxzBiGobi4OC1fvlzXX399nWT3ldOnz8vpvPyTvU+fPl+HaTxDdnPUJHvjOszjCX/+vUui2AD/\n43FxmTVrlk6ePKlhw4YpJCSkUimw2Wx69dVXvRawpux2u2JjY5Wbm6vk5GRJF6+g5ObmasSIEZX2\nb9q0qXJycipsW716tXbs2KEFCxaoXbt2dZLbl9zuMpWWllU7Xl+R3RxkN8eVsgP4nsfFJTY2VnFx\ncb7IctVGjhypiRMnKi4uTvHx8Vq5cqUuXLigIUOGSLr4uILCwkLNnDlTNptNnTt3rnB8eHi4GjRo\noOjoaDPiAwCAK/C4uMyYMcMXObwiJSVFTqdT8+fPl8PhUExMjJYtW6awsDBJksPh8Iv5OQAA/Fh5\nXFzqu/T0dKWnp1c5Nn369GqPzczMNHUBPQAAUD3uvwMAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEA\nAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZB\ncQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEA\nAJZBcQEAAJYRZHYAANbhcrm0/+hRs2NUsv/oUbVxucyOAaAOUFwA1JjL5dLDX7wqu6N+/dXhOlmq\nZa7hZscAUAfq198+AOo1u92u5O6/VJuO4WZHqaAg77jsdrvZMQDUAYqLF+R9VmB2hEryPitQTCyX\nzuFddrtd1yX/n36W0MHsKBV8vjuf4gL8SFBcvOCfrwYoKKR+zXMuPRmg/rFmpwAAwLsoLl7QuPOv\n1KDtz82OUUHx0c/4BAoA8Dv16zIBAABANSguAADAMiguAADAMiguAADAMiguAADAMiguAADAMigu\nAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADA\nMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMiguAADAMigu\nAADAMiguAADAMiguAADAMiguAADAMvyuuKxevVp9+vRRQkKChg0bpt27d19233//+9+69957lZiY\nqGuvvVa333673nvvvTpMCwAAPOFXxWXjxo2aMWOGxo0bp/Xr16tLly4aNWqUTpw4UeX+H330kW64\n4QYtXbpU69ev1/XXX6+MjAwdOHCgjpMDAICa8Kvikp2dreHDh2vw4MGKjo7W5MmT1bBhQ61bt67K\n/R999FH9/ve/V1xcnDp27KgJEyYoMjJSb731Vh0nBwAANeE3xcXlcmnfvn1KTEws32az2ZSUlKRd\nu3bV6D0Mw9C5c+fUokULX8UEAABXIcjsAN7idDrldrvVsmXLCtvDw8N16NChGr3HsmXL9O2332rg\nwIG+iFjnAgMDFBR0+W4aGFh/eyvZzUF2c1wpO4Dv+U1xuVqvvfaaFi9erCVLligsLMzsOF7RvHkj\nhYY2qXZcZ+owkAfIbg6ym+NK2QF8z2+KS2hoqAIDA+VwOCpsP378eKWrMD+0YcMG/e1vf9O8efPU\no0cPX8asU6dPn5fTea7a8fqK7OYguzmulF0SxQb4H78pLna7XbGxscrNzVVycrKki3NWcnNzNWLE\niMsel5OTo6ysLM2ZM0e9evWqq7h1wu0uU2lpWbXj9RXZzUF2c1wpO4Dv+U1xkaSRI0dq4sSJiouL\nU3x8vFauXKkLFy5oyJAhkqTZs2ersLBQM2fOlHTx66GJEyfqr3/9q+Lj48uv1jRs2FBNmzY17ecA\nAABV86vikpKSIqfTqfnz58vhcCgmJkbLli0rn7PicDj0zTfflO+/du1aud1uTZkyRVOmTCnfPnjw\nYE2fPr3O8wMAgOr5VXGRpPT0dKWnp1c59sMysmrVqrqIBAAAvIT77wAAgGVQXAAAgGVQXAAAgGVQ\nXAAAgGVQXAAAgGVQXAAAgGVQXAAAgGVQXAAAgGVQXAAAgGVQXAAAgGVQXAAAgGX43bOKUHMul0t5\nnxWYHaOSvM8KFBPrMjsGAKAeorj8yP3z1QAFhdSvC2+lJwPUP9bsFACA+oji8iNmt9vVuPOv1KDt\nz82OUkHx0c9kt9vNjgEAqIfq10dtAACAalBcAACAZVBcAACAZVBcAACAZVBcAACAZVBcAACAZVBc\nAACAZVBcAACAZVBcAACAZVBcAACAZVBcAACAZVBcAACAZVBcAACAZVBcAACAZVBcAACAZVBcAACA\nZVBcAACAZQSZHQCoDZfLpbzPCsyOUUneZwWKiXWZHQMA/BbFBZb1z1cDFBRSvy4alp4MUP9Ys1MA\ngP+iuMCS7Ha7Gnf+lRq0/bnZUSooPvqZ7Ha72TEAwG/Vr4+rAAAA1aC4AAAAy6C4AAAAy6C4AAAA\ny6C4AAAAy+CuIgA1xvo5AMxGcQHgEdbPAWAmiguAGmP9HABmq18fmwAAAKpBcQEAAJZBcQEAAJZB\ncQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJZBcQEAAJbBkv8AfhR4QCTgHyguAH40\neEAkYH0UFwA/CjwgEvAP9eujBwAAQDUoLgAAwDIoLgAAwDIoLgAAwDIoLgAAwDL87q6i1atXa/ny\n5XI4HOrSpYuysrKUkJBw2f137NihmTNn6vPPP1fbtm2VkZGh2267rQ4T48eG9UQAoPb8qrhs3LhR\nM2bM0NSpUxUfH6+VK1dq1KhR2rRpk8LCwirt//XXXysjI0O/+93vNGvWLOXm5iorK0utWrXSDTfc\nYMJPgB8L1hMBgNrxq+KSnZ2t4cOHa/DgwZKkyZMna+vWrVq3bp1Gjx5daf/nnntO7du311/+8hdJ\nUlRUlHbu3Kns7GyKC3yG9UQAoPbq10e+q+ByubRv3z4lJiaWb7PZbEpKStKuXbuqPOaTTz5RUlJS\nhW033njjZfcHAADm8psrLk6nU263Wy1btqywPTw8XIcOHarymKKiIoWHh1fa/+zZsyopKVFwcHCN\n/tsljrzahfahEkeeAgOvVVDQ5btpYGAA2b2M7Obw9+wAvuc3xcVMjpw5ZkeoleTkXnIk9zI7Rq2Q\n3RxkB2A2v6n4oaGhCgwMlMPhqLD9+PHjla7CfCciIkLHjx+vtH/Tpk1rfLUFAADUHb8pLna7XbGx\nscrNzS3fZhiGcnNz1a1btyqP6dq1a4X9JWn79u3q2rWrT7MCAIDa8ZviIkkjR47Uiy++qFdeeUVf\nfvmlHn/8cV24cEFDhgyRJM2ePVsPP/xw+f6333678vPz9dRTT+ngwYNavXq1Nm/erHvuucesHwEA\nAFTDr+a4pKSkyOl0av78+XI4HIqJidGyZcvK13BxOBz65ptvyvdv3769nnnmGU2fPl2rVq1SmzZt\n9MQTT1S60wgAANQPNsMwDLNDAAAA1IRffVUEAAD8G8UFAABYBsUFAABYBsUFAABYBsUFAABYBsUF\nAABYBsUFAABYBsUFXlFaWmp2BFgM5wyA2vCrlXOtZPv27dq5c6euu+46JSYm6qOPPtLTTz+tkpIS\npaWlaejQoWZHrNK2bdvUunVrXXPNNSorK9OSJUv0/PPPy+FwKCIiQnfeeadGjx4tm81mdtQqHThw\nQCtWrNDOnTtVVFSkgIAAdejQQcnJyRo1apSaNm1qdsTL4pwxh5XPGcAfBU6aNGmS2SF+bP71r39p\n/PjxOnv2rFavXq1WrVpp4sSJ6tq1q5o1a6ann35aUVFR6ty5s9lRK7n//vt14403qm3btnrmmWeU\nnZ2t++67T3fddZc6deqkFStWyO1269prrzU7aiXvvvuu7r33XrVv314dOnTQoUOHNHToUHXu3Fmb\nNm3S888/r4EDB6pJkyZmR62Ec8YcVj5nAL9loM6lpaUZK1euNAzDMN5//30jISHB+Mc//lE+vnz5\ncuP22283KV314uLijCNHjhiGYRipqanGxo0bK4y//fbbRr9+/cyIdkVpaWnGmjVryl+/9957xoAB\nAwzDMIySkhLj7rvvNh555BGz4lWLc8YcVj5nAH/FHBcTfPXVV+rdu7ckKTExUW63Wz169Cgfv+mm\nm3Tw4EGz4lWrRYsWKiwslCSdOHFCP/3pTyuMR0ZG6tixY2ZEu6KDBw+qZ8+e5a+TkpKUn5+vwsJC\n2e12ZWZmauvWreYFrAbnjDmsfM4A/oriYoKgoCC5XK7y13a7vcKl5uDgYBUXF5sR7Yr69eunv//9\n73K73UpOTtaaNWtkXPKczmeffVYxMTEmJry81q1b69ChQ+Wv8/LyVFZWppCQkPLxb7/91qx41eKc\nMYeVzxnAXzE51wQdO3bUwYMHFRUVJeni9+iX/iOUn5+v1q1bmxWvWg8++KBGjhypgQMHqmvXrtq0\naZPef/99RUZG6quvvtKpU6e0fPlys2NWKS0tTVlZWcrIyFBwcLCys7PVp08fBQcHS7o4CbN9+/Ym\np6wa54w5rHzOAP6KybkmCAsLU0hIiNq1ayfp4qflS++oeP311xUZGVnhq4D6okGDBhoyZIgaNGig\nAwcOyDAMBQQEqFGjRrrppps0ffr0ejlBVJK6d++uEydO6Nlnn9W2bdvUrVs3Pf7442rUqJEk6dy5\nc+rZs2f5/5f6hHPGHFY+ZwB/ZTMuvWaLemnnzp2Kj48v/5RnJWQ3B9nNYeXsgFUwx8UCRo8eXW8n\nL14J2c1BdnNYOTtgFRQXC7DyRTGym4Ps5rBydsAqKC4AAMAyKC4AAMAyKC4AAMAyKC4WUF8fPlcT\nZDcH2c1h5eyAVVBcLMDKE/7Ibg6ym8PK2QGrYB2XeqKkpEQFBQVq06aN5daAIHvdcrvdcjqdwjsP\nxAAAA71JREFUCggIUFhYmNlxPEJ2AFeLJf9N8PLLL6tTp07q1q2biouLNXnyZL3yyivlK4oOHTpU\nWVlZ9fIfUrKbZ+vWrVq6dKl2796t0tJSSVKTJk3Uu3dvTZgwQW3btjU54eWRHYC38FWRCRYtWqSA\ngIu/+rlz5+qDDz7QvHnzlJOTo3nz5mnHjh2aO3euySmrRnZzvPLKK3rwwQeVkJCge++9V+Hh4Ro1\napQeeughFRQUaMiQITp8+LDZMatEdgBeZaDOxcXFGUeOHDEMwzBuvvlm45133qkw/uGHHxq//vWv\nzYh2RWQ3x4ABA4wNGzaUv969e7fRq1cvo6yszDAMwxg/frwxZswYs+JVi+wAvIkrLiaIiIhQXl6e\nJOn8+fMKDQ2tMB4WFqaTJ0+aEe2KyG6Oo0ePKiEhofx1fHy8HA6HCgsLJUn33HOPduzYYVa8apEd\ngDdRXEwwaNAgzZ07V6dPn1ZaWpoWLVqkc+fOSbr4D+qCBQvUvXt3k1NWjezmaNeunfbu3Vv+et++\nfbLZbGrZsqUkqUWLFuXzL+obsgPwJibnmmDMmDH67LPP1LdvX8XFxenjjz/WDTfcoNatW6uwsFAh\nISFasWKF2TGrRHZzpKenKysrS3v27FGDBg304osvKi0tTYGBgZKkTz75RJGRkeaGvAyyA/Amboc2\n0bvvvqu33npL+fn5MgxDERER6t69u1JTU9W4cWOz41WL7HVvzZo1evXVV1VSUqKePXvqj3/8oxo0\naCBJOnz4sNxut6Kjo01OWTWyA/AWrriYaNOmTRo0aJB69OhhdhSPkb3u3XHHHdq7d69uvfXWStnr\n+6d+sgPwFoqLiU6cOKHRo0crLCxMt9xyi2699VZ16dLF7Fg1QnZznDx5sjx7SkqK0tLSyF4HrJwd\n8Dd8VWSyU6dOadOmTcrJydHHH3+sqKgoDRo0SKmpqWrfvr3Z8apFdnOQ3RxWzg74E4pLPVJQUKCc\nnBytW7dOX331lfbv3292pBojuznIbg4rZwesjtuh6wmXy6W9e/dq9+7dOnLkiMLDw82OVGNkNwfZ\nzWHl7IA/4IqLyT744APl5ORoy5YtKisrU79+/conAdpsNrPjVYvs5iC7OaycHfAnFBcT9ezZU6dO\nnVLPnj01aNAg9enTp94+4O+HyG4OspvDytkBf0NxMdHatWs1YMAANW/e3OwoHiO7OchuDitnB/wN\nxQUAAFgGk3MBAIBlUFwAAIBlUFwAAIBlUFwAAIBlUFwAAIBlUFwAAIBlUFwAAIBl/D8CM8w8Vax1\nmQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b7a799860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colorHash= {}\n",
    "availColors = sns.color_palette('Paired', 100)\n",
    "\n",
    "ax = plt.subplot(1, 2, 2)\n",
    "width = 0.80\n",
    "ind = list(range(0, y.shape[1]))\n",
    "bottom = [0] * y.shape[1]\n",
    "for taxon, abundances in y.loc[y.index, ].iterrows():\n",
    "    if taxon not in colorHash:\n",
    "        colorHash[taxon] = availColors[len(colorHash) % len(availColors)]\n",
    "    p2 = plt.bar(ind, abundances.values, bottom=bottom, label=taxon, color=colorHash[taxon], width=width)\n",
    "    bottom += abundances.values\n",
    "\n",
    "p = plt.title('mean over samples')\n",
    "p = plt.xticks([p + width/2.0 for p in ind], list(y.columns), rotation='vertical')\n",
    "p = plt.ylabel('relative abundance\\n')\n",
    "\n",
    "l_patches = []\n",
    "for taxon in y.index:\n",
    "    l_patches.append(mpatches.Patch(color=colorHash[taxon], label=taxon))\n",
    "p = ax.legend(handles=l_patches, loc='upper left', bbox_to_anchor=(1.01, 1))\n",
    "    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# all in one Tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[634452, 634453, 634454, 634455, 634456, 634457, 634458, 634459, 940282] [<TreeNode, name: 481146, internal node count: 0, tips count: 0>, <TreeNode, name: 481145, internal node count: 0, tips count: 9>, <TreeNode, name: 940260, internal node count: 0, tips count: 0>, <TreeNode, name: 940282, internal node count: 0, tips count: 0>, <TreeNode, name: 1006554, internal node count: 0, tips count: 0>, <TreeNode, name: 1266844, internal node count: 0, tips count: 0>]\n",
      "{238208, 559322, 605989, 4333237}\n",
      "238208: k__Bacteria; p__Firmicutes; c__Bacilli; o__Bacillales; f__Planococcaceae; g__Lysinibacillus; s__boronitolerans\n",
      "  [1, 131567, 2, 1783272, 1239, 91061, 1385, 186817, 1386, 452601]\n",
      "  [1, 131567, 2, 1783272, 1239, 91061, 1385, 186817, 400634, 436516]\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 438]\n",
      "  [1, 131567, 2, 1783272, 1239, 91061, 1385, 186817, 400634, 869646]\n",
      "  [1, 131567, 2, 1783272, 1239, 91061, 1385, 186817, 1386, 452599]\n",
      "559322: k__Bacteria; p__Firmicutes; c__Bacilli; o__Bacillales; f__Planococcaceae; g__Lysinibacillus; s__boronitolerans\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 104097]\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 438, 481146]\n",
      "  [1, 131567, 2, 1783272, 1239, 91061, 1385, 186817, 400634, 498327]\n",
      "605989: k__Bacteria; p__Proteobacteria; c__Alphaproteobacteria; o__Rhodospirillales; f__Acetobacteraceae; g__Acetobacter; s__\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 438]\n",
      "4333237: k__Bacteria; p__Proteobacteria; c__Alphaproteobacteria; o__Rhodospirillales; f__Acetobacteraceae; g__Acetobacter; s__\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 104098]\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 104097]\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 438, 481145, 634458]\n",
      "  [1, 131567, 2, 48479, 155098]\n",
      "  [1, 131567, 2, 1224, 28211, 204441, 433, 434, 438]\n"
     ]
    }
   ],
   "source": [
    "# how comes that one clade covers so different Phylo, i.e. why does GG cluster so different seqs together?\n",
    "sAP = tree.find_by_func(lambda x: (hasattr(x, 'mp_clades')) and ('s__Acetobacter_pasteurianus' in x.mp_clades))\n",
    "sAP_tipnames = list(map(lambda node: node.name, sAP))\n",
    "sAP_lca = tree.lowest_common_ancestor(sAP_tipnames)\n",
    "print(sAP_tipnames, list(sAP_lca))\n",
    "\n",
    "otus = []\n",
    "for node in sAP_lca.find_by_func(lambda node: hasattr(node, 'gg_otus')):\n",
    "    otus.extend(node.gg_otus)\n",
    "print(set(otus))\n",
    "\n",
    "for otu in set(otus):\n",
    "    print(\"%s: %s\" % (otu, tax.loc[otu,'lineage']))\n",
    "    for taxid in gg97[otu]:\n",
    "        print(\"  %s\" % get_lineage(taxid, nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "rank = 2 # 'Phylum'\n",
    "\n",
    "taxes = []\n",
    "for idx, row in counts.iterrows():\n",
    "    if idx == -1:\n",
    "        taxes.append('unmappable')\n",
    "    else:\n",
    "        taxes.append(tax.loc[idx,'lineage'].split('; ')[rank])\n",
    "    \n",
    "counts['tax'] = taxes   \n",
    "y = counts.groupby('tax').sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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k3f39uIri4uLCsmXLnmVoQpQ6SciEEEI8l/r370/37t2LrDM1NSUnJ+ehdUK8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\nIiIiImEcyIiIiIiEcSAjIiIiEvYfcWVkS2fCzsMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff855f2fd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colorHash= {}\n",
    "availColors = sns.color_palette('Paired', 100)\n",
    "\n",
    "ax = plt.subplot(1, 2, 2)\n",
    "width = 0.80\n",
    "ind = list(range(0, y.shape[1]))\n",
    "bottom = [0] * y.shape[1]\n",
    "for taxon, abundances in y.loc[y.index, ].iterrows():\n",
    "    if taxon not in colorHash:\n",
    "        colorHash[taxon] = availColors[len(colorHash) % len(availColors)]\n",
    "    p2 = plt.bar(ind, abundances.values, bottom=bottom, label=taxon, color=colorHash[taxon], width=width)\n",
    "    bottom += abundances.values\n",
    "\n",
    "p = plt.title('mean over samples')\n",
    "p = plt.xticks([p + width/2.0 for p in ind], list(y.columns), rotation='vertical')\n",
    "p = plt.ylabel('relative abundance\\n')\n",
    "\n",
    "l_patches = []\n",
    "for taxon in y.index:\n",
    "    l_patches.append(mpatches.Patch(color=colorHash[taxon], label=taxon))\n",
    "p = ax.legend(handles=l_patches, loc='upper left', bbox_to_anchor=(1.01, 1))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}