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Last active March 15, 2016 22:33
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Code to support an American Gut blog post on alpha diversity.\n",
"\n",
"* Author: Daniel McDonald\n",
"* License: BSD\n",
"\n",
"This notebook depends on:\n",
"\n",
"* BIOM >= 2.1.5 < 2.2.0\n",
"* numpy >= 1.9\n",
"* pandas >= 0.17\n",
"* matplotlib > 1.4.0\n",
"* seaborn >= 0.6.0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First thinkg we're going to do is import a few packages into our environment for use in the subsequent analysis. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/daniel/miniconda3/envs/p100/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n",
"/Users/daniel/miniconda3/envs/p100/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n"
]
}
],
"source": [
"%matplotlib inline\n",
"import biom\n",
"import numpy as np\n",
"import pandas as pd\n",
"import urllib\n",
"import seaborn as sns\n",
"import skbio\n",
"import datetime\n",
"import matplotlib.pyplot as plt\n",
"\n",
"sns.set()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we're going to grab the publicly available American Gut de-identified data."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# the \"metadata\" are the study variables, such as sample type, age of the individual, etc\n",
"ag_metadata_url = 'ftp://ftp.microbio.me/AmericanGut/rounds-1-24/04-meta/ag-cleaned.txt'\n",
"\n",
"# the BIOM table contains the counts of each observation in each sample\n",
"ag_biom_url = 'ftp://ftp.microbio.me/AmericanGut/rounds-1-24/03-otus/notrim/gg-13_8-97-percent/otu_table.biom'\n",
"\n",
"req = urllib.request.urlopen(ag_biom_url)\n",
"f = open('ag_current.biom', 'wb')\n",
"f.write(req.read())\n",
"f.close()\n",
"\n",
"ag_table = biom.load_table('ag_current.biom')\n",
"ag_metadata = pd.read_csv(ag_metadata_url, sep='\\t', dtype=str, index_col='#SampleID')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the blog post, I'm basing the discussion of diversity around a few of my samples, so let's go ahead and define that particular subset."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# The samples that correspond to a chili pepper experiment\n",
"chili_samples = {'10317.000004213',\n",
" '10317.000004214',\n",
" '10317.000004215',\n",
" '10317.000004216',\n",
" '10317.000004218',\n",
" '10317.000004219'}\n",
"\n",
"# I have a second set of samples, which are not discussed in the blog post, that correspond\n",
"# to a water only fast\n",
"fasting_samples = {'10317.000016704',\n",
" '10317.000016705',\n",
" '10317.000016706',\n",
" '10317.000016707',\n",
" '10317.000016708',\n",
" '10317.000016709',\n",
" '10317.000016710',\n",
" '10317.000016711',\n",
" '10317.000016712',\n",
" '10317.000016713'}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This next cell is a bit complex. What we want to do is filter down the metadata to only include fecal samples from the healthy subset (defined as those between 20 and 69 years old, no antibiotics use in the last year, a BMI of 18.5 - 30, and do not report has having IBD or diabetes). We also want to only include a single sample per participant (and one that has a reasonable amount of sequence) as to avoid possible sample independence issues. Last, we want to filter out and remove any operational taxonomic units that are singletons or doubletons as the likelihood of them being spurious is reasonable."
]
},
{
"cell_type": "code",
"execution_count": 171,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# determine my unique subject identifier\n",
"my_host_id = ag_metadata.loc['10317.000004216'].HOST_SUBJECT_ID\n",
"\n",
"# convert collection date to an actual datetime object so we can sort things later\n",
"ag_metadata.COLLECTION_DATE = pd.to_datetime(ag_metadata.COLLECTION_DATE)\n",
"\n",
"# pull out the healthy fecal subset of the American Gut\n",
"ag_metadata_fecal = ag_metadata[ag_metadata.BODY_SITE == 'UBERON:feces']\n",
"ag_metadata_fecal_healthy = ag_metadata_fecal[ag_metadata_fecal.SUBSET_HEALTHY == 'true']\n",
"\n",
"# filter the OTU table to the healthy subset, drop any sample with < 10000 sequences, and drop any singleton or doubleton OTU\n",
"ag_table_fecal = ag_table.filter(lambda v, i, md: i in set(ag_metadata_fecal_healthy.index), inplace=False)\n",
"ag_table_fecal.filter(lambda v, i, md: v.sum() >= 10000).filter(lambda v, i, md: v.sum() > 2, axis='observation')\n",
"\n",
"# randomly subsample the table to control for uneven sequencing effort\n",
"ag_table_fecal_rare10k = ag_table_fecal.subsample(10000)\n",
"\n",
"# determine which of my samples are actually in the resulting table (some may not have had sufficient sequence)\n",
"my_ids_in_table = (fasting_samples |chili_samples) & set(ag_table_fecal_rare10k.ids())\n",
"\n",
"# determine sample ordering based off of collection time point\n",
"order_full = ag_metadata_fecal_healthy.loc[my_ids_in_table].sort_values('COLLECTION_DATE').index.tolist()\n",
"order_full.extend(set(ag_table_fecal.ids()) & set(ag_metadata_fecal_healthy.drop(order).index))\n",
"order_self = ag_metadata_fecal_healthy.loc[my_ids_in_table].sort_values('COLLECTION_DATE').index.tolist()\n",
"\n",
"# sort the OTU tables such that the first sample is the earliest collected\n",
"ag_table_fecal = ag_table_fecal.sort_order(order_full)\n",
"ag_table_fecal_rare10k = ag_table_fecal_rare10k.sort_order(order_full)\n",
"\n",
"# determine a single sample per participant (except for me!) such that the individual is \n",
"# reasonably like me (i.e., healthy, in their 20s or 30s and has a BMI between 18.5 and 25)\n",
"ag_metadata_fecal_healthy_rare10k = ag_metadata_fecal_healthy.loc[ag_table_fecal_rare10k.ids()]\n",
"to_keep = []\n",
"for idx, grp in ag_metadata_fecal_healthy_rare10k.groupby('HOST_SUBJECT_ID'):\n",
" if my_host_id == grp.HOST_SUBJECT_ID[0]:\n",
" # keep all of my samples\n",
" to_keep.extend(grp.index[:])\n",
" else:\n",
" # keep a sample from healthy individuals reasonably similar to me\n",
" if grp.AGE_CAT[0] in ('20s', '30s') and grp.BMI_CAT[0] == 'Normal':\n",
" to_keep.append(grp.index[0])\n",
"\n",
"# refine the OTU table to only include the single samples per participant\n",
"ag_table_fecal_rare10k = ag_table_fecal_rare10k.filter(to_keep, inplace=False).filter(lambda v, i, md: v.sum() > 0, axis='observation')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load Greengenes tree for phylogenetic based diversity metrics such as Faith's PD. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"gg138_tree = skbio.read('/Users/daniel/ResearchWork/greengenes_release/gg_13_8_otus/trees/97_otus.tree', \n",
" into=skbio.TreeNode)\n",
"for node in gg138_tree.traverse():\n",
" if node.length is None:\n",
" node.length = 0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compute Shannon Entropy, Faith's PD, and generate a phylum-level taxonomy summary."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from skbio.diversity import alpha_diversity\n",
"\n",
"faith_pd = alpha_diversity('faith_pd', ag_table_fecal_rare10k.matrix_data.T.toarray().astype(int), \n",
" ids=ag_table_fecal_rare10k.ids(), otu_ids=ag_table_fecal_rare10k.ids(axis='observation'), \n",
" tree=gg138_tree)\n",
"shannon = alpha_diversity('shannon', ag_table_fecal_rare10k.matrix_data.T.toarray().astype(int), \n",
" ids=ag_table_fecal_rare10k.ids())\n",
"\n",
"def partition_f(i, md):\n",
" return md['taxonomy'][1] # collapse at the phylum level\n",
"\n",
"phyla_summary = ag_table_fecal_rare10k.collapse(partition_f, axis='observation', norm=False)\n",
"per_phyla_tables = dict(ag_table_fecal_rare10k.partition(partition_f, axis='observation')) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the taxonomy summaries, let's show my samples against the average of everyone else."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# collapse non me samples\n",
"def collapse_f(i, md):\n",
" if i in chili_samples or i in fasting_samples:\n",
" return i\n",
" else:\n",
" return \"Others\"\n",
"\n",
"me_against_the_world = phyla_summary.collapse(collapse_f, norm=False).norm()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we want to resort the BIOM table so that the average of the population is the last \"sample.\" Additionally, let's pull out the relative abundances of the top 5 taxons."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"me_against_the_world = me_against_the_world.sort_order(order_self + [\"Others\"])\n",
"others_data_ranked = np.argsort(me_against_the_world.data('Others', dense=True))[::-1]\n",
"top_5_phyla = me_against_the_world.ids(axis='observation')[others_data_ranked[:5]]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next up is a function to produce a stacked bar chart. The colors are terrible, I apologize for that. "
]
},
{
"cell_type": "code",
"execution_count": 270,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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vvvvuPe9pbkAREZGCycvLC06dstvxPO8cMweaN2/+t5/u/bOnee8OWs2bN7f+fPdUdhs3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\nEEIIITRIGoFCCCGEEBr0/6F74WNDakW5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13a7305c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def stacked_bar_chart(table, phyla, samples, metadata):\n",
" subset = table.filter(lambda v, i, md: i in samples + [\"Others\"], inplace=False)\n",
" phyla_idx = {id: idx for idx, id in enumerate(subset.ids(axis='observation'))}\n",
" \n",
" fig = plt.figure()\n",
" ax1 = fig.add_subplot(111)\n",
" offset = 0\n",
" colors = ['r', 'g', 'y', 'c', 'm']\n",
" \n",
" for values, i, md in subset.iter(dense=True):\n",
" accumulation = 0\n",
" for c, phy in zip(colors, phyla):\n",
" v = values[phyla_idx[phy]]\n",
" ax1.bar([offset], v, color=c, bottom=accumulation)\n",
" accumulation += v\n",
" offset += 1\n",
" # .strftime('%b-%d')\n",
"\n",
" ids_with_timestamp = []\n",
" for i in subset.ids():\n",
" prefix = \"\"\n",
" if i == \"10317.000004216\":\n",
" prefix = \"DAY AFTER CHILIS\"\n",
" if i == 'Others':\n",
" to_append = i\n",
" else:\n",
" to_append = \"%s\\n%s - %s\" % (i, prefix, metadata.loc[i].COLLECTION_DATE.strftime(\"%b-%d\"))\n",
" ids_with_timestamp.append(to_append)\n",
" \n",
" ax1.set_ylabel(\"Percentage of sample\", fontsize=15)\n",
" ax1.set_xticks(np.arange(0.5, len(subset.ids()) + 0.5))\n",
" ax1.set_xticklabels(ids_with_timestamp, rotation=45, ha='right', fontsize=12)\n",
" \n",
" ax1.set_yticks(np.arange(0, 1.01, 0.2))\n",
" ax1.set_yticklabels(np.arange(0, 101, 20), fontsize=12)\n",
" \n",
" ax1.legend(top_5_phyla, bbox_to_anchor=(1.3, 0.7))\n",
" \n",
"stacked_bar_chart(me_against_the_world, top_5_phyla, list(chili_samples), ag_metadata_fecal_healthy_rare10k)"
]
},
{
"cell_type": "code",
"execution_count": 176,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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1a9cmJibGsp/ZbCYiIoI///yTPn36YDabSUpK4uzZs0RFRd31ee7u7pYV2xo1\nakRUVBQvvPACixYtsiyzl56ezpUrVyhZsiSlS5cGuGOpvbNnz5KQkMCAAQMwm81cv36d6OhoIHul\nmP9VpkwZxo0bR9GiRYmKiqJJkyY5/jvlhE2nuRkxYgQJCQkAHDp0iIyMDFs2LyIiIgXYsWPHgOyb\nMVJSUnB1dbVJu7cv1+fl5cWhQ4cAOHHihCWAOjg4kJWVhaenJzVq1GDNmjWsXbuWrl27Urt2bapV\nq3bX58XExHD58mUAfv31V2rUqMFHH31Ely5dmD17Ns888wxmsxlXV1eSkpK4du0aADNmzODIkSOY\nTCaysrKoXLky7u7urFy5krVr19KrVy8aNmxoqe12ycnJfPLJJ8yfP5+ZM2dSuHBhq9PrtmDTI4hh\nYWEMGzaMMmXK8Oabb/LDDz9Qpoy9ryAqIiIit7t4MW/aiouLo2/fviQnJ+Pv728V7Gxl7NixTJo0\niRUrVpCRkUFAQAAAjRs3Zty4caxYsYIWLVrg6+tLWloaDRs2xM3N7S+fV7p0aWbMmMGlS5do0qQJ\nrVq14tq1a8yePZulS5fi5uZGYmIiJpOJyZMnM3DgQBwdHalTpw4NGjTgxIkTBAYGMn/+fPr160fP\nnj0tgbFjx453HUPx4sV5+umneeONN3B0dKRUqVLExsba9O9kMtswcr7++utcunQJT09PDh06ROPG\njXFycrrrvmvWrLFVtzZh+qcJcn4U+9G5DAd6/oqXV4177hYZeYoyzz5N3i+vfncRQMKBnI3j2XVP\n2+drATl6PfRaPCIP8N6w23Ho/W1fcvj+zu9juKVcuRJ33Z5X8yBu2bKFqKgoRo4cadO+5eHY9Aji\nxx9/zLp167h27RqHDh2iUqVKFClSxJZdiIiIiIEcHR0Nn7MwJxYsWMDBgwetjiKmpaURGxtL5cqV\nrfb19PRk6tSpj7rEAs2mAbFixYqMGTMGyL67ZvLkyZaLQkVERET+SteuXa1+Hzp0KEOHDs2jasSw\nu5jXrl1LcnIy69ev59SpUxQqVIgaNWrQsWNHihcvblS3IiIiIpJLhgXE6OhoevfuzdWrV/Hy8iIr\nK4vNmzezcOFC1q1bR6VKlYzqWkRERERywabT3Nzu/fffp0qVKnz33Xds3ryZL774gt27d/Pkk08y\nZ84co7oVERERkVwy7AjigQMH+OyzzywTQkL2pI5jxoyhX79+RnUrIiIiuZBXdzGLfTEsIBYuXPiu\ny+OYTCZtqEZiAAAgAElEQVRNoC0iImKnIiMjqbV1K7i726bBixc52aXLI7szetCgQQAsXrz4nvuF\nhYXRsGFDTCYTCxcuZPLkyQ/Uz/jx4+nUqRMtW7Z8qDqvXr3Kvn37crw83qxZs+jXr59l1RajGRYQ\nW7RowQcffMCHH35IiRLZcy1du3aNwMBAnnnmGaO6FRERkdxydwcPj7yu4oFdvHiRGzdukJmZyfnz\n5++YDud2q1evZtq0aXh6ej5wOLSF8PBwvvvuuxwHxPHjxxtckTXDAuLYsWPp3r07rVu3plq1akD2\n+oeurq4sX77cqG5FREQkH9qyZQthYWGkpKSQmJjIkCFDaN++/QO1ERISgre3N0WKFGHdunWMGzcO\ngE2bNhEcHIzZbKZt27bUr1+f8PBwxo0bx5w5cxg3bhyff/45nTt3pnnz5pw8edJyZLF48eLMnj2b\nX3/9FZPJxN///nd69+4NwLp16/j000/JzMwkICAADw8P5s2bx7Fjx7hy5Qq1a9cmICCAhIQE3nvv\nPcsye7Nnz2bJkiWcPHmSTZs20apVKyZNmsTNmzcpUqQI06dPJyMjg0GDBlG6dGleeOEF9uzZw7Rp\n0yhWrBhTpkwhPT2d2NhYhg8fTrt27Wz7YmBgQHR3d+err75i27Zt/Oc//6FIkSJ0796dzp074+zs\nbFS3IiIikk+lpqayatUq4uPj6datG97e3ne9XO1uzGYzO3bsYNOmTTg4OPD3v/+dESNGkJyczKef\nfsqOHTtwdnZm3rx5NG/enDp16jBt2jScnJwsk3EnJyfzyiuvMHHiREaPHs3evXspVqwYFy5cYOPG\njWRkZNCzZ0/LmdAmTZowYMAA9uzZw5w5c3j//fcpWbIky5cvx2w206lTJ2JjY1m2bBnt2rXDx8eH\n33//naNHjzJ48GCCg4Pp1q0bI0aM4M0336RVq1YcOHCADz74gBEjRhAfH8/WrVtxdHRk7969QPbB\ntv79+9OsWTMOHz7MJ598kr8CImSvFdizZ08juxAREZEColmzZgC4urri4uJCQkICZcvmbF3Dffv2\ncf36dUaNGoXZbLYExurVq1OzZk3LwalbS/nd2ud/1alTB8g+0JWWlsbFixd5+umnAShUqBANGjTg\nP//5j1W9TZo0Ye7cuRQpUoTLly8zatQoihUrxo0bN8jIyCAqKorXX38dgEaNGtGoUSN+/vlnS58R\nEREsWbKEZcuWYTabLcsUV65c2XJzz61ay5Urx6JFi9i8eTOAYfd1GDbNjYiIiMiDOHbsGACXL18m\nJSUFV1fXHD938+bNzJw5k2XLlvHpp58yf/581q1bh4eHB6dPnyY9PR2AYcOGERMTg4ODA1lZWfdt\n18vLi19//RWA9PR0Dh8+jKenJwBHjhwB4NChQ9SoUYM9e/Zw6dIlAgMDGTFiBKmpqZjNZqpXr261\n79y5c6369/LyYvTo0axZs4apU6fy8ssvA1gtM3jLRx99RJcuXZg9ezbPPPPMXUOuLRh6BFFERETy\noYsX86StuLg4+vbtS3JyMv7+/ncNSHcTHx/PkSNH+PDDDy3bmjRpQlpaGufOnWPAgAH06tULk8lE\n27ZtcXNzo3HjxowbN45p06ZZnnN7f7d+fvHFF/npp5/o3r076enpdOzY0XKU8Y8//qBPnz44ODgQ\nEBCAk5MTixYtslyj6OHhQWxsLAMHDsTPz4/t27fj4ODAzJkzcXJyIiIigjVr1jB27FimTJlCWloa\nN2/eZMKECX9Zz8svv8zs2bNZunQpbm5uJCYm5vjv+yAUEEVERMTCy8uLk1262LzNnGjevLnlFPCD\ncHV15V//+tcd27/88ksg+7Rul/8Z0/Dhwxk+fDgAwcHBAOzevdvy+O113LrZ5XazZs26ay2bNm26\n6/a7Tbvz1VdfWX6+2w28t+oCWLNmDQCenp506tTprn3Y0iMJiBkZGRQqpCwqIiL5W2ZmFhhzwMY2\nEv9bYy44Ojo+sjkL72XBggUcPHjQ6ihaWloasbGxd0xf4+npydSpUx91iQWaoalt69atLF68mPPn\nz7Nz504+/fRTypcvz9ChQ43sVkRExCBmPv0M/np2vbx1HmCQMdekGa1r165Wvw8dOlR5IQ8ZFhC3\nbt1KQEAAb731FosWLQKgdu3azJ49G2dnZwYMGGBU1yIiIoZwdHSkFZD3x9fuLgJI0JJ2YgOG3cW8\nYsUKJk2axKBBgyxzGPn6+jJ9+nQ2btxoVLciIiIikkuGBcSzZ8/SqFGjO7Y3atSImJgYo7oVERER\nkVwydCWV8PBwPP5nLccDBw7gbqsFwEVERMSmMjMziYyMtGmbXl5elgmfJX8wLCC+9dZb+Pv7ExcX\nh9ls5ueff+aLL75g1apVD3ULu4iIiBgvMjKSrbW24o5tDuZc5CJdTnYx9M7olJQU2rdvT1hYGEWL\nFrVs79q1Kx999BFVqlQxrO+HcfnyZRYuXMjkyZMfuo22bdvy9ddfWy1fvG/fPi5dukS3bt1yXaNh\nAfGNN94gIyODJUuWkJqayoQJE3Bzc2PcuHF0797dqG5FREQkl9xxxwOP++9oJ5544gnatm3Lrl27\nLPMdHjt2jJIlS9pdOAQoW7ZsrsIh3H2VlVatWuWqzdsZOs1Njx496NGjBwkJCTg7O1O8eHEjuxMR\nEZF8asuWLYSFhZGSkkJiYiJDhgyhffv2OX5+t27dCAwMtATEkJAQ3njjDQB27tzJ6tWrcXR05Omn\nn2bkyJEEBQVx+PBhrl+/zowZMxg+fDilS5fmhRdeYM+ePUybNg1PT0+Cg4O5fPky7777LgsXLmT3\n7t1kZWXh6+vLG2+8wYoVKwgNDaVQoUI0a9aMUaNGERQUxNmzZ7ly5QqJiYn07NmTXbt2cfbsWWbP\nno2rqysjR47k888/5/vvv2fBggUA1K1bl6lTp9K5c2eefPJJnJ2d8ff3Z8yYMSQnJ5OZmcnw4cMt\nS+xNmTKF8+fPU7ZsWd5//31CQ0M5ffo0o0aNYt68eRw7dowrV65Qu3ZtAgICHuj1MHSam7/i7OyM\nm5sbjRo10jUJIiIiAkBqaiqrVq0iPj6ebt264e3tbZkJ5X4aNGjAtWvXiImJoXTp0hw4cAA/Pz+u\nXr1KUFAQX3zxBYULF2bs2LH8+OOPQPa1kX5+fly4cIH4+Hi2bt2Ko6Mje/bsuaP9EydOsH//fkJC\nQsjIyCAwMJCIiAh27drFxo0bcXBwYNiwYZYVXYoWLcoHH3zA0qVL2bt3L4sXL+aLL77gq6++4s03\n38RkMpGZmcn06dMJCQmhdOnSLF++nEuXLpGSksLQoUMt0wM+//zz9O7dm5iYGHr06GFZ8cXX15cG\nDRowd+5cNm7cSPHixTGZTKSkpFCyZEmWL1+O2WymU6dOxMbGUr58+Ry/FoYFxIULF3L+/HmysrIo\nUaIEAElJSZZDomazmSeffJIVK1ZQsWJFo8oQERGRfKJZs2ZA9tJ5Li4uJCQkULZs2Rw///XXX2fb\ntm1UrlyZtm3bUqhQIc6ePUtCQgIDBgzAbDZz/fp1oqOjgewVWG6pXLnyXQ9amc3ZE49HRUXRoEED\nAAoVKsS4ceP4+uuvadiwoSXENmnShFOnTgHZRwMBXFxcLEsNuri4cPPmTUvbV65coWTJkpQuXRqA\n/v37A9mnj2/Vdvr0aV599VUA3NzcKFGiBPHx8Tg7O1vqadSoEQcOHOCpp54CoHDhwly+fJlRo0ZR\nrFgxbty4QUZGRo7/jmDgNDc+Pj7UrFmTHTt2cOjQIQ4dOkRoaChPPfUUEyZMYP/+/Xh6ejJ79myj\nShAREZF85NixY0D2TRwpKSm4uro+0PNfeeUVvv32W7788kt8fHyA7ODn7u7OypUrWbt2Lb169aJh\nw4YAVkcnb7+mr0iRIsTFxQFw/PhxAKpVq2apLz09nbfeegtPT0+OHDlCVlYWZrOZX375xRLs7naN\n4P9ydXUlKSmJa9euATBjxgyOHDmC2Wy2PN/Ly4tDhw4BEBMTw7Vr1yhdujRpaWmEh4cD8Ouvv1Kj\nRg1Lu3v37uXSpUsEBgYyYsQIbty4YQm6OWXYEcRVq1YRFBRkVXC1atWYNGkSQ4cOpVevXvy///f/\n6NOnj1EliEguPA5rzorI3V3kYp60FRcXR9++fUlOTsbf3z9HIet2Li4uVKtWjcuXL1tuTilTpgz9\n+vWjZ8+eZGVlUblyZTp27HjHc2/vq1evXvj7+1OxYkXc3NyA7NXgWrVqRffu3TGbzfj6+lKrVi1e\nfvlly7amTZvi7e1tCW73YzKZmDx5MgMHDsTR0ZG6devSoEEDq1reeecd/Pz82LVrFzdv3mT69Ok4\nODhQuHBhPvvsM86cOUOlSpUYPXo027dvB6Bhw4YsXLiQ3r17A1ClShViY2OpVKlSjv+WhgXE69ev\n4+TkdMd2R0dHkpOTgey7jtLS0owqQfIhhRJ7ojVnRR5HXl5edDnZxeZt5kTz5s1zPRXe3c5MvvLK\nK7zyyitW2959913Lz5UqVSI4ONjye+vWrWnduvUd7QwcOJCBAwdabevbty99+/b9y7Zvn7nF29sb\nb29vAEt/L7zwAi+88ILV829dYwhQsmRJy00st9u5c+cd225fz3rz5s13PP4gDAuIzz33HNOmTSMw\nMNCSWKOjo5k5cyYtWrTAbDYTEhJCrVq1jCpB8iWFEnuhNWdFHk+Ojo6GzlmYUwsWLODgwYNWR9PS\n0tKIjY2lcmXrTwlPT0+mTp36qEss0AwLiP7+/gwcOBBvb29cXV3JysriypUrPPXUU0yZMoW9e/ey\natUqFi9ebFQJkg8plIiIPJ5uP/oFMHToUIYOHZpH1YhhAdHV1ZXNmzfz008/ceLECRwdHalVqxbP\nPPMMkH2Hzd69e3FxcTGqBBERERF5CIZOlG0ymWjRogUtWrSwbEtLS+Po0aM8/fTTRnYtIiIiIg/J\nsIB49OhRJk+eTEREBFlZd17Uf+LECaO6FhEREZFcMGwexICAAAoXLsy0adNwcnLC39+ft99+G2dn\nZ+bPn29UtyIiIiKSS4YdQTxx4gSfffYZTz31FBs3bsTT0xMfHx/Kly/Phg0bePnll43q+uHY69Qq\nj9W0KiIiImIPDAuIZrOZMmXKAFC1alUiIiJo3rw5bdq0ISgoyKhuH5q9Tq3yOE2rIiIiIvbBsIBY\no0YN9uzZg6+vL9WrV+e3336jV69exMfH3/WaxLxmr1OraFoVERERedQMC4gDBgxgxIgRODo60qlT\nJ4KCghgyZAjh4eE0b97cqG5FREREJJcMu0nlpZde4vPPP6dBgwZUqlSJJUuWkJWVRevWrZk5c6ZR\n3YqIiIhILhl2BDEoKIj+/ftTtGhRAJ599lmeffZZkpOT+eSTTxg/frxRXYuIiB3SWusi+YdNA2JC\nQgKpqalA9hqKbdq0oXTp0lb7HD9+nA0bNiggiog8drTWukh+YdOAuHfvXt577z3Lwtqvv/76HfuY\nzWbat29vy25FRCQf0FrrIvmHTQNily5dqFKlCllZWfTq1YuFCxdSsmRJy+Mmk4knnniC6tWr27Jb\nwsLCGDduHL/++itZWVnMmjWL/fv3k5WVRb9+/ejevbtN+xMREREpyGx+DWKTJk0A2L17NxUrVrQc\nTTTKmTNnmDNnDmZz9mmBDRs2cO7cOUJDQ0lKSsLHx4d69epRv359Q+sQERERKSgMu0nF3d2dL7/8\nkt9//5309HRLgLtl+vTpue7jxo0bjB07lvHjxzNq1CggO5j6+PhgMplwcXGhU6dObN++XQFRRERE\nJIcMC4gzZ85kw4YN1KpVi+LFi1s9ZqujilOmTMHX15eaNf/vipaLFy/i7u5u+d3NzY2IiAib9Cci\nIiLyODAsIH755Ze8//77dO7c2ZD2161bR6FChejatSvnz5+3bL/bKi0ODoZN9ygiIiJS4BgWEDMy\nMmjcuLFRzbN161ZSU1Pp2rUraWlp3Lx5k65du+Lu7k5sbKxlv5iYGCpUqGBYHY9CmTLFKVeuxD33\nuXKl+D0ftwePyzgKwhhA43hUCsIY4PEZR0EYg0hOGBYQ27VrR2hoKO+8844h7W/atMny84ULF3jl\nlVfYsmULn332GSEhIbRp04aUlBRCQ0OZNm2aITU8KgkJycTFJd13nzKPqJ6H9biMoyCM4dY+BWUc\n9uxxey3y+zgKwhhuUYiUezEsIFaoUIEFCxbw3Xff8eSTT+Ls7Gz1uC1uUrkbX19foqOjefXVV0lP\nT8fX15emTZsa0peIiIhIQWRYQDx8+DANGzYE4M8//7R6zNZT31SqVInffvsNyJ6IVau0iMgtdr28\nm5Z2ExE7ZVhAXLt2rVFNi4g8APtd3k1Lu4mIvTIsIEL2jSrffPMNp0+fplevXkRERFC9enXKlLH3\nKzhEpKCw5+XdtLSbiNgrwwJibGwsffr0ISYmhtTUVF599VVWrlzJkSNHWL16tc2X2xMRERER2zBs\ngsD333+fGjVqcPDgQQoXLgzABx98wFNPPcXs2bON6lZEREREcsmwgPjTTz8xZMgQq7uXixcvzqhR\no/j999+N6lZEREREcsmwgJiamoqTk9Md29PS0u5Yl1lERERE7IdhAfH5559n2bJlVmEwKSmJefPm\n8cwzzxjVrYiIiIjkkmE3qfj5+dG7d29atWrFzZs3effddzl//jylSpVi1apVRnUrIiIiIrlk6Eoq\n27dv58svv+TEiRM4OTlRvXp1OnfubLlpRURERETsj6HzIB4+fBh3d3e6desGwMyZMzl8+DAtWrQw\nslsRERERyQXDrkHcunUrAwcO5PTp05ZtV69e5e2332bnzp1GdSsiIiIiuWTYEcQlS5YwZcoUy9FD\ngDlz5tC0aVMWLlxIhw4djOpaRERERHLBsCOIf/75511PJT/77LOcO3fOqG5FREREJJcMC4hVqlRh\nz549d2z/4YcfcHd3N6pbEREREcklw04x9+/fn4kTJ3L8+HHq168PwL///W+2b9/O5MmTjepWRERE\nRHLJsIDYpUsXnJ2dWbNmDTt37sTJyYlq1aoxf/58vL29jepWRERERHLJsIAYHBzM3/72Nzp27GhU\nFyIiIiJiAMOuQQwMDOTatWtGNS8iIiIiBjEsINapU4cff/zRqOZFRERExCCGnWJ2dXVlxowZLF68\nGA8PD4oUKWL1+IoVK4zqWkRERERywbCAWKRIEbp06WJU8yIiIiJiEMMC4qxZs4xqWkREREQMZNg1\niJC99vLSpUsZP3488fHxfP3110RGRhrZpYiIiIjkkmEBMSoqig4dOhASEsKOHTu4fv0633zzDa+/\n/jq//fabUd2KiIiISC4ZFhBnzZrFSy+9xK5du3BycgJg7ty5vPzyywQGBhrVrYiIiIjkkmEB8Y8/\n/qBXr17WnTk4MHDgQI4fP25UtyIiIiKSS4Zeg3jz5s07tsXHx+Ps7GxktyIiIiKSC4YFxLZt2/Lh\nhx+SkpJi2RYdHU1AQAAvvviiUd2KiIiISC4ZFhDHjx/P1atXeeaZZ7hx4wbdunWjffv2ODs7M27c\nOKO6FREREZFcMmweRBcXF4KDgzlw4AAnTpzAycmJGjVq8OyzzxrVpYiIiIjYgM0D4vXr1zl48CDO\nzs40btyY5557jueee87W3YiIiIiIQWwaEMPDw+nfvz/x8fEAlC9fnqCgIBo0aGDLbkRERETEQDa9\nBjEwMJAqVaoQHBzMxo0b8fT0ZOrUqbbsQkREREQMZtMjiL///jtr1qyhTp06AMyYMYOXXnqJ69ev\nU6xYMVt2JSIiIiIGsekRxJSUFMqWLWv53cPDA0dHRxITE23ZjYiIiIgYyKYBMSsrCwcH6yYLFSpE\nZmamLbsREREREQMZupKKiIiIiOQ/Np/mZs2aNRQtWtTye2ZmJuvXr6dkyZJW+w0aNMjWXYuIiIiI\nDdg0IFasWJEdO3ZYbStbtiy7du2y2mYymRQQRUREROyUTQPid999Z8vmRERERCQP6BpEEREREbGi\ngCgiIiIiVhQQRURERMSKAqKIiIiIWFFAFBERERErCogiIiIiYkUBUURERESsKCCKiIiIiBUFRBER\nERGxooAoIiIiIlYUEEVERETEigKiiIiIiFhRQBQRERERK4XyuoDc2LZtGytWrMDBwYEiRYowceJE\n6tSpQ0BAAD/88ANZWVn069eP7t2753WpIiIiIvlGvg2IUVFRzJ07l61bt+Lq6sqePXt49913GTBg\nANHR0YSGhpKUlISPjw/16tWjfv36eV2yiIiISL6Qb08xOzs7M2PGDFxdXQGoX78+cXFx7Nq1i9de\new2TyYSLiwudOnVi+/bteVytiIiISP6Rb48gVqpUiUqVKll+nzVrFu3atePUqVO4u7tbtru5uRER\nEZEXJYqIiIjkS/k2IN5y48YNxo0bR2xsLJ9++in/+Mc/7tjHwSHfHigFoEyZ4pQrV+Ke+1y5UvwR\nVfPwHpdxFIQxgMbxqBSEMcDjM46CMAaRnMjXAfHPP/9k8ODBVK9enTVr1uDs7EzFihWJjY217BMT\nE0OFChXysMrcS0hIJi4u6b77lHlE9Tysx2UcBWEMt/bROIxXEMYAj884CsIYblGIlHvJt4fWrl69\nSq9evWjfvj2BgYE4OzsD0K5dO0JCQsjMzOTatWuEhobi7e2dx9WKiIiI5B/59gjihg0biImJISws\njG+//RYAk8nE8uXLOXfuHK+++irp6en4+vrStGnTPK5WREREJP/ItwFx0KBBDBo06K6P+fn5PeJq\nRERERAqOfHuKWURERESMoYAoIiIiIlYUEEVERETEigKiiIiIiFhRQBQRERERKwqIIiIiImJFAVFE\nRERErCggioiIiIgVBUQRERERsaKAKCIiIiJWFBBFRERExIoCooiIiIhYUUAUERERESsKiCIiIiJi\nRQFRRERERKwoIIqIiIiIFQVEEREREbGigCgiIiIiVhQQRURERMSKAqKIiIiIWFFAFBERERErCogi\nIiIiYkUBUURERESsKCCKiIiIiBUFRBERERGxooAoIiIiIlYUEEVERETEigKiiIiIiFhRQBQRERER\nKwqIIiIiImJFAVFERERErCggioiIiIgVBUQRERERsaKAKCIiIiJWFBBFRERExIoCooiIiIhYUUAU\nERERESsKiCIiIiJiRQFRRERERKwoIIqIiIiIFQVEEREREbGigCgiIiIiVhQQRURERMSKAqKIiIiI\nWFFAFBERERErCogiIiIiYkUBUURERESsKCCKiIiIiBUFRBERERGxooAoIiIiIlYUEEVERETEigKi\niIiIiFgpsAHxX//6F507d6ZDhw4MHz6clJSUvC5JREREJF8okAExISEBPz8/FixYwM6dO6lcuTJz\n587N67JERERE8oUCGRB/+OEHGjRogIeHBwC+vr7s2LEjj6sSERERyR8KZEC8ePEiFSpUsPxeoUIF\nUlJSdJpZREREJAcK5XUBRjCbzXfd7ujo+JfPiTKqmFyKAko+wL726nEbR0EYw6197VVBGEdBGAM8\nfuMoCGMQuR+T+a/SVD62fft2vv76axYuXAjAhQsXeO211/jpp5/yuDIRERER+1cgTzG3bNmSI0eO\ncO7cOQA+//xz2rVrl8dViYiIiOQPBfIIIsDevXsJDAwkIyMDDw8P5syZg4uLS16XJSIiImL3CmxA\nFBEREZGHUyBPMYuIiIjIw1NAFBERERErCogiIiIiYkUBUURERESsKCCKiIiIiBUFxAegG77z3sWL\nF0lOTs7rMnLtyJEjHD16NK/LECArKwvQ+9teFPTXoaCPTwoOBcT7CA8P56effiIyMpKbN2/mdTkP\n7ciRI2zevJkDBw6QkZGR1+U8lN27dzNmzJh8v6b2Dz/8QJ8+fYiOjs7rUnLll19+YcmSJWzdupXw\n8PC8LuehHDlyhG3btpGamorJZMq3H96//PILCxYsYNOmTVy+fDmvy3kop06dAsjXr8P9mM1mTCYT\nAKGhoaxevZrIyEirx0XshQLiPezZs4eBAweydetWhg4dyscff8yvv/6a12U9sD179jBq1CjCw8MZ\nPHgwP//8c16X9MD27NnDsmXL8PPzw83NjStXrnDjxo28LuuB7du3j48++ogmTZpw5swZ4P+OYOUn\ne/fuZeLEiaSkpPD111+zbds20tLS8rqsHLv1Qbx+/XqWLFnC119/TXJyMiaTKd+9Hvv372f8+PFc\nuXKFS5cuUaxYsbwu6YHcei2GDx+Ov78/UHBD4q1wuHLlSjZs2EBCQgLp6emkpaWRlpZWYMct+VOh\nvC7AHpnNZhISEli2bBmBgYE0a9aMQ4cO8c0337B161YcHBxo3LhxXpeZI3FxcSxevJjp06fTokUL\nnJycOHLkCMWKFaNMmTJUqVIlr0u8r5MnT/LOO++wa9cuzpw5Q//+/YmNjaVJkya0atUKb2/vvC4x\nR77//ns++eQT/Pz8uHz5Mtu2bQPAwSF/fU+LjY1l4cKFzJgxg6ZNm3LgwAFGjx5Nz549qVy5cl6X\n90Bq167N0aNHOXLkCOnp6XTr1o3MzMx88ZqYzWZSU1PZsWMHU6ZMoWXLlly6dInvvvuOIkWKUL58\neRo0aJDXZd7XrdBUqFAhQkJCSEpKIjAw0BKWbj2en2VlZVn+TR0/fpxdu3YRHBzMiRMnOHToELNm\nzaJmzZqMHDmSokWL5nG1ItkUEO/CZDJRpkwZ3NzcLP9JNWvWjCeeeIItW7awd+9ennrqKQoVKmS3\n/3nd+o+1TJkyVK5cmejoaNzd3QkJCaFp06Z8++231KxZk379+lGzZs28Lveubo2hVq1a/O1vf2PR\nokX8+eefzJ07l//85z9ERESwc+dO6tSpQ6VKlfK63L+UlZXFzZs3CQ4OZsyYMTRt2pTo6Gg2btxI\nTEwM5cuXt9t/R3fzxBNPUK5cuf/f3pkHVFnlj/vhsoOAoCyioKgoorlACmgporlkZY65jOO4VJaZ\njqrm0hgAACAASURBVImRVpRYjknpoFOm5vQ1tcXRFNfcFQ3EDVFRxA0QBFkUZN85vz/8cUfcQr2X\ne3k7z18K9305z33POfdzz/I5NG7cGAA/Pz+cnJwaxAhiTZ2qeb/d3d3x9fWlefPmHD9+nOvXr5OX\nl8esWbMwMTHB0NBQxyV+MDUe5ubmlJSUkJ+fT2ZmJpMnT8bDw4Nbt25hbGzMG2+8gbe3t66L+4dc\nv34dNzc3Fi5cyPTp0wkKCuKrr75SRJB4d3B46tQpbGxsKCkpYerUqeTn59O1a1d8fX1JS0trEF9M\nJH8eZG28h5rh/ZKSEqqqqjh06JC6c/L09CQgIICtW7eSkpKi151WTdmEEDRr1oy9e/cybtw4Xn/9\ndfXoT1ZWFjdu3NBxSR/O3e/v0KFDSUtLIyAgAAcHB3r27Env3r1JSUkhIyNDh6WsG+bm5ixbtgw/\nPz/Ky8sxMTHh1q1bxMbG6nU9upuatlFeXk7z5s3V5c7NzaWwsBArKysATpw4wcWLF3VWzkdx73td\nXV1Nbm4ur7/+Oubm5qxduxZzc3PMzc31NjiE2h5OTk6cOnWKI0eOMHr0aBYsWEBwcDBmZmakpaXp\nsJSP5u6pVAsLC9zd3WnVqhUrVqwgLi6OoKAgoOFPN9cEfdu3b+fDDz/EysqKyZMn4+rqSkhICIGB\ngbRv357ExERKS0t1XFqJ5H/IEcS7SEhIICMjA19fXywsLJg2bRpjxoxBpVIxY8YM4M5oSZcuXcjN\nzdVxaR9OdHQ0Bw8exMnJibZt2xIYGAjARx99RM+ePQHUo2766nG3g6urK/379yc5OZlnnnlG/ZrW\nrVvTunVrbt++rcOSPpro6GgOHDhAs2bNsLe35+WXX8bExARHR0fGjRvHTz/9RMeOHXFxcdF1UR9J\nTdvw8fHB1taWadOmYWJiAsDNmzcpKCjA3t6e8PBw/vvf/xIWFqbjEt9PTZ1q1qwZDg4ODBkyBB8f\nHw4dOkRiYiJxcXEMGjSItLQ0tmzZwssvv6yXIzp3tw13d3emTp3K0KFDOXDgAO+//z4ALVu2xMbG\nhuzsbAC9G4WrqU89e/bExMQEGxsbJk2ahLGxMS4uLqxcuZIpU6bwzjvvsGzZMr0q+5MQGRlJSEgI\nYWFhODg4MHjwYAYPHszSpUvJysoiJiaGxYsXY2Njo+uiSiRqDENqVgX/ianpPL///ns2btyIq6sr\nTZo0wcnJieeff5558+aRl5eHEILY2Fi2bt3KxIkTadSokfoe5eXlejHiEBkZyUcffUSfPn24ffs2\nP//8M1evXqV3797qHY6tW7dm//79bNu2jbfeekvvOqV7Hf773/+SlZXFlClTaNasGVFRUWRmZnLy\n5Ek2b97MpEmTsLa21nWx7+Nej/DwcBITE3n++ecBsLKyIiUlhdzcXNq2basOuPSJB7UNBwcHLCws\n1PU9MzOT5ORkVCoVa9euZd68ebRq1arWfaqrq3X6IX/3s8jNzWXTpk1cvXqVvn37MmfOHDZt2kRI\nSAgTJkwgIyMDf39/9YgoQEVFhV627x9//JGqqio+//xz1q1bR2lpKdXV1Zw/f55NmzYxffp0Gjdu\nXOu912WweG99cnFxwcHB4b7pfBsbG3r16kV4eDh9+vSp1dc2BO59j01NTYmMjCQ2NpbXXnsNuLM+\nPC8vDwMDA6ZNm0abNm10VVyJ5IHIEUSoNVV2+/Zt1q9fjxCCZ599Fg8PD3755ReWL1/O9u3byc3N\nZfny5Tg5Oamvv3r1Kps3b2bmzJm6UlBz4sQJgoKCeOmllygvL2fQoEFMnToVR0dH5s2bx4QJE0hL\nS+PWrVssXry41shVVVUV1dXVGBsb6/RD5EEO06ZNo6ysjA8++IAdO3aQm5tLWVkZy5Ytq7X+sKCg\noNYHuy55mIehoSGzZs3CxcUFV1dXTp8+zfDhw9XX6ZPDw9qGr68vpqamwJ0ptIiICLKzs1mwYAHu\n7u4ApKSkIITA2toaW1vbWmux6psHPYt3330Xc3Nzpk+fTsuWLdUbzyZOnFjr2sOHD/P7778za9Ys\nVCqVTkcVH+QxZcoUDA0NCQ8PJzQ0lAMHDlBdXc0333yjDtTT0tIwNzfHxMSERo0a6ax916U+1dCy\nZUvWrVuHkdH/Pqb0qW08jLvf29jYWKqrq3FwcGDZsmVMmTKFyZMns3z5cuzt7Rk6dKiOSyuRPALx\nJ+fmzZuioqJCVFZWii+++EKcOXNGLFy4ULz55psiIiJCFBYWCiGEKCkpEUII9f9rSE5OFoMGDRI9\nevQQ+fn5oqqqqt4dhLjjIYQQoaGhYsqUKaK8vFz9u/j4eDFs2DARExMjCgsLRWFhocjLy6t1/eXL\nl8WMGTPEpEmTRHh4eL2WvYY/chg+fLiIjo4WJSUloqqqShQUFNS6PjExUXz22WfizJkz9Vrue/kj\njxEjRojffvtN/bOcnBz1v/XFQYg/bhulpaVCCCFu3LghBg0aJC5duqS+9vDhw+Kll14S06ZNE926\ndRPJyck6cxDi4c/ir3/9q7q+V1dXi+rq6lrXR0REiGHDhomzZ8/W+vm9r9M2dWnf0dHR6v6npr8S\n4s6zGDp0qAgMDBQTJkwQ+fn5QgjdONSlPj0MfWobdWHVqlVi7NixYsaMGWLYsGHiyJEjIisrS4wa\nNUr89a9/1XXxJJI/RP8W2NQjERERTJkyhcrKSgwNDfHw8MDd3Z2ZM2fi7u7OTz/9xMmTJykpKcHM\nzAygVo6xxMREZs6cqV7LZGBgoJPRhYiICCZPnkx5eTkvv/wyVlZW7Nq1S50Qu3Xr1vTo0YO4uDgs\nLS2xtLSsNSV77do1Zs+eja+vLy+88AKLFi0iLy9P7xyeffZZLl26hJmZGSqV6r5pp6KiIjZv3szm\nzZt1lq+yLh5eXl7cunVLfY2tra363/rgAHVrG8eOHaOoqAgnJye2bNmiHjk8f/48//znP5kzZw7/\n/ve/eeWVVwgLC6O6urpeNxv80bNwc3Ojc+fOFBQUANTa3Qxw7Ngx5s6dy+LFiykuLubrr78mKCiI\nCxcu1OvoW13b96VLl9T9T81oXHx8PPPmzWPWrFm89dZbWFtbq/Pu1efmj7rWp0dt0tCXtlEXdu3a\nxcGDB1m7di0tWrSgZcuWdOjQgdLSUpYsWYKBgYFebxCUSOBPvIs5KiqKRYsWkZWVpd4F++qrr6pz\nUH3wwQd4eHiwfPlyTp06pb6u5oMhNTWVd955h/HjxzN16lSKi4vZs2cPUL+Jj2s8srOzuXnzJq6u\nrjRv3pzIyEh27txJRUUFpqammJqaqj3v/VA4fvw4Xl5ejBw5kqFDh+Lg4MDKlStZvXp1vZz28TgO\nj+pUExMTcXd3p7Kykl27dnH69Gmtl/1uHsejZnfpvc9C1w53e/xR21i2bBmnT59GCIGxsbH6+rS0\nNPz8/Hj22WcB6Ny5szq3YH0FVnV5FmZmZpiampKeng7UfhZVVVUcP36c3r17k5SUxJdffkmTJk0w\nNjZmwoQJ6gBF2wHWk7aNmvf51q1b+Pj44Ofnh4WFBVFRUYSEhDBkyBDi4uLqJTH449SnRwV++tA2\n6opKpeLvf/87K1as4MyZM4SGhrJq1SpWrlyJo6Mja9eupVmzZroupkTySP6Um1QOHz5MWFgY06dP\nJycnh1atWt23Fk+lUuHn58eNGzfo1avXfeteMjMz6datGwMGDADurDXJz8/nueeeq7cPwXs9nJ2d\nadu2LZ06deLq1aucP3+ejRs3kp2dzaZNm5g9eza2trb3lS8hIYFDhw5haGjI3LlzcXR0pGvXrmzf\nvp3CwkJ8fHz0zuFBJCQk0L59ewICAjh69CgpKSlYW1vXWi+qbx4Peha6cniQR13bxt0e6enpHDp0\niJ49e2Jpacn58+eJi4tj2LBhAOTn59+33kybDk/yLFQqFU5OTqxYsYKoqChWrlyJn58f/fr1o7Ky\nkpUrV/KXv/ylVmCsLx53U1JSwieffEJ6ejqff/45b7/9Nm+//TalpaV8+eWXjBo1ql6fxZP0tTWv\nSUhIwMPDg759++qkbTyMB23AOnXqFMHBwVhaWrJixQoMDQ2JiYnB2NgYPz8/4P6USxKJvvGnCxAv\nX77Mhx9+yCeffMLzzz/P+fPnKSwsxMvLi8rKSvUi9JpOycfHp1aHlZWVRWpqKiqVCi8vL/XPHRwc\n+L//+z88PT3rpcN6kEdRURFeXl6YmJjQtWtX3NzcKC8vx8jIiKlTp9baJZeVlUVKSgqlpaX4+Phw\n6dIlsrOzKSws5LvvvqNjx460bNmS1atXM2TIEK18iDytw8WLF8nKyqKwsBBbW1scHR1p06YNLi4u\nuLi4qBMfm5ub4+zsrPHya8JDXxwe5lHXtnHx4kUyMzMpKiqiS5cu9OjRQ50APCYmhry8PAYOHMgv\nv/zCd999x8CBA7WyK1gTdSozM5OCggLc3Nzw9vbm6NGj9OvXT71z283NjfPnzzNgwACt7WzWRJ3K\nz8+nXbt2vPDCC1hbW1NZWakOWvz8/Dh79ix9+/bVWoD4tH3tlStXsLOzU0+b29nZ0aZNG1xdXeu9\nbTyMwsJC9fsXHh7O3r17KSgo4KWXXiIlJYXz58/Tvn17fvvtN7Zu3UpgYCB2dnYyOJQ0CP50AaKF\nhQUvvvgi7du3B+50Qjt37mTkyJG11g8+aC3hlStXCAwMJDY2lqNHj3Lz5k26du2KEAJLS0tSU1MR\nQtCpUyedesCdY6uaNm3Ks88+S7du3bCzs3ugx8GDBykvL2fy5MkYGRkRFxfHyy+/DNwZJU1ISGDQ\noEFaScHyNA4150vfvn2bsLAwysrKaNasGc7OzgghsLe3x8XFhf3795OXl4e3t3et3ZD64KFPDn/k\n8ai2cbfH4sWLqaysxMnJCXt7ewB27NhB27Ztyc/PZ82aNerztOvbAepWp/Ly8li8eDGlpaW0b9+e\nMWPGYG9vT3p6OjY2NuzevZujR48yePBgrQVXmqhTNQ4dOnTA2dmZVatW4eHhgbOzM1u2bCE6OpqX\nXnpJvb66Ph0eVZ+EEFRXVzN9+nQuX77Mc889B9w5wcfc3JyqqiocHBzqtW08iCtXrrB06VLc3d05\nePAgP/zwA6ampsTGxpKZmcl7773H9evXOXHiBJmZmcydO1emspE0KP40AWJMTAx79+4lNTWVdu3a\nYWJigoGBAZ6enkRERCCEUHdkDyI7O5v333+fyZMn8+6771JQUEBsbCwvvPACKpUKExMTSkpKWLhw\nIZ07d9baN9rH8RAPSGVxr0dxcTFHjx5l0KBBNGrUiLVr13LixAlKS0tZtGgRb7zxxiPfl/p2EEKQ\nnZ3Np59+SkhICOPGjaN9+/YcOnSIjIwMHB0d1R+WTZs2pW3btvTo0UMruR6f1EOfHB7X427u9Rg/\nfjzt27cnIiKCrKws7O3tadKkCREREWzevJnLly8zd+5cjdenx3Woa506fPgwN27coFmzZqSnpzNt\n2jRiY2PZuXMnX331lVbauKbr1OHDh0lLS8PJyQlDQ0NWrVpFXFwcW7duZdGiRTp3eBAGBgZUVlay\nevVqLl68qM5XCXemc2tGbeujbTyM6upqbty4walTp4iJieH48eOsWbOGwYMHU15ezqlTp8jKyuLd\nd99l0KBBBAQEqL8wSSQNhT/FJpWIiAiCg4OJj48nJycHQ0PDWh8QzzzzDOfOnXvkWbK3bt3CysqK\nPn36YGRkhK+vL1euXFEn0AYYOHAgr732mtaOS3pcjwdNYzzI4+rVq9y8eRNbW1v+9a9/YWBgwKVL\nl3j//ffp16+fRhfiP62DgYEBjRs3plWrVrRo0QIhBL169WLcuHGkpKRw+PBh4M66JYB27dppZbTq\naTz0xeFJPO7mjzwiIyMBaNGiBRUVFXz22WdaOfdb23Xq2LFjdO7cmc8++4yRI0fyww8/6J3HoxxS\nU1O5cOEC48ePZ/bs2QQEBPD999/Ttm1bnTs8jOvXr9OqVSsWLFjAtWvXmDt3LoB6SroGbbaNR5Vt\n69atdOrUiRdffBFLS0tSUlI4d+4cAK+88gq9evXi6NGjrFq16r5NXBJJg0GbOXT0gaKiIhEYGChO\nnTolhBAiIyND7Nu3T0RERIikpCQhhBDp6enCz89PLF68+KH3OXfunAgODhbXr18XlZWV4uzZs6Jf\nv37i9u3b6nvcjaZzjGnbIzc3Vwgh7sstqEkPTTkUFxeLUaNGiQULFtT6eUREhPDx8dF6zj1NeOja\nQYj68UhJSRGXLl26r33ok8Mfefj6+qrvpS20+SwOHjwo/Pz8GkS7qOH69etixYoVIj8/X5w6dUqM\nHTtWzJkzR/17XeSbrekLIyMjxezZs8WHH34ovvvuO3Hu3DkRFBQkQkJCxLlz54QQQpSXl4stW7aI\njIyMei+nRKIpFH+SirGxMZmZmeTn53Pr1i2mTp2Ks7MzZWVl3L59m3nz5tG2bVvWrVunziv2IDp2\n7MiYMWNo0qSJeorD1tYWGxsbTp48ybJly/j0009p2bIloPkdatr2aNy4MSdPnuTbb78lJCQEV1dX\njXtowkEIgbm5OaGhoYwYMQJLS0umTp0KQJ8+fejVqxclJSUaK7M2PPTBoT49tDHapimHunj07NlT\na7MCmvJ4lIO/vz9+fn563y7uxsHBgXHjxmFmZkanTp0IDAxkyZIlfPDBB3z55Zc6yTdbVFSEqakp\nfn5+/Prrr0RFRTFp0iQ6duzI2LFj2bhxIxs2bKCyspIuXbrwyiuv1HsZJRJNovg1iFVVVSQmJlJc\nXExcXBw+Pj4EBgbStWtXzp8/j42NDe7u7tjY2Dw0fUpNGgN7e3v1QuizZ89SXFyMi4sLwcHBvP32\n23Tt2lURHl26dNFbh5r1SXZ2dnTr1o0vvviCzMxMmjdvzuHDh9mxYwdjxozR6tmtT+uhDw715TF6\n9Gi9fhZ19ZB1SvsONQghMDQ0VPdRhoaGODo64uLiQnR0ND4+PlhaWmrN40H8/vvvhIWFsWHDBtat\nW0dycjJubm7Y2tpy7do1+vTpQ8uWLTlx4gSpqal07979vul1iaShocg1iFeuXGHv3r0AmJiY0KNH\nD7Zs2cLhw4dp0qQJcGddlLGxMfn5+X94P5VKpf7GW7N2RgjBr7/+yowZM3jvvffw9/fXeNJcJXho\n2kEIoR49cHd3Z+fOnVy9epX//Oc/hIeHs3TpUq2sSdKkh64cdOGhjZRPsk4p06HGo4a7k/TXpBVb\nsmRJvW/2OHToEKGhofztb38jLCyMDz74gOHDh1NYWMjly5eJj49n37593Lx5Ey8vLyZNmoSpqakM\nDiUNHkVNMVdXV6NSqVi3bh0XL17EyMgIf39/+vbtS1lZGQsWLODYsWPAnQSyZ8+e5Z133nno/ZKT\nkzE1NVWPuN24cYOvvvqKoKAgddqXjz76SOOJT5XgoQkH8YBd2DXHoZ06dYrp06cTHh7Ot99+i5mZ\nGUVFRRofIXlaD31wUIqHrFPKcXiUB9xJND1z5ky+++472rZtqz7GVJtJvR9EUlISCxcuZM6cOXTv\n3h24s3va1dWV8vJycnJycHR0ZPPmzSQlJbFmzRp1YCyRNHQUNcVc07ls2LCBlJQUKisrKS8vp02b\nNri7u+Pi4sKlS5c4fvw4SUlJBAcHP3AnnxCC4uJigoKCsLa2xtPTk/T0dKZPn06vXr3o3bs3rVq1\nwt/fHy8vrwd2dH92j6d1uLss4eHh7Nmzh+zsbNzc3MjKymLKlCmEhITg6emJkZERBgYGWsnV+DQe\n+uKgFA9Zp5ThUFePTz/9FG9vb52OxCUnJ5OWlsbEiRPVu6cNDAxo1KgR+fn57Nu3j3nz5qmPKq3v\nHdUSiTYxEJqeF9UxVVVVLFy4EB8fH44dO0ZOTg4BAQEMGDAAAwMDioqKMDMzo7y8XH0W6MPYsmUL\nGzduZMmSJcTExJCSksLrr7+u/vZcg6YDRKV4aMJh/fr1/PTTT7Rr147CwkI6deqEv78/ZmZm9ZZ0\n9mk99MFBKR6yTinHQV88HsXu3bsJDw9n+fLlwP+SeBsaGpKamspnn33GypUrdVxKiUQ7KGIEsays\njMrKSoyMjFCpVCQnJ/Piiy/i7e3NmTNnSEhIwMDAADc3N0xMTFCpVA/NS5WQkKA+WcDd3Z0jR47g\n7e1Nt27d6Natm/p19+Ygkx6ad4iJiSE8PJzVq1czcOBAysvLiY+PJz8/H39/fwwNDbUSnGvSQ5cO\nSvGQdUp5Drr2qCtCCJYsWUKbNm1o3bq1eqobYM+ePdy4cYN+/fqhUqnkmkOJ4mjwAeL+/fuZN28e\nGzduJCUlBUdHR/r06aM+3aRz587Ex8dz/PhxLCwsaNWq1UPvVV5ezptvvklUVBSRkZH06NGDqKgo\nYmJi6N+/v/p12ugIlOChSYe8vDxWrFhBbGys+mQad3d3CgsLOXr0KNnZ2XTr1k2vn4UuHZTiIeuU\n8hx07fE4NGnSBGNjY3799VcsLS1xd3cH7szKrFq1iuDgYPWZ4xKJ0mjQAeLp06eZP38+s2bNwt/f\nn/3795OQkICJiYk6j5+ZmRmenp5cu3aNgICA+xZr13xDzcjIwNzcnNGjR9OhQwcuXLjAr7/+ipWV\nFfHx8fj7+2NlZaWVb7RK8NCEQw27d++madOmdO/enbS0NK5evYqDgwNOTk7qDvpR1+uDhy4dlOIh\n65TyHHTt8SS0adOGiooKvvjiCyIjIzl06BBHjhzhyy+/1GqOT4lE1zToADE+Pp6KigrGjBmDo6Mj\n3t7enDp1isTERFxcXLCzs6OyshJLS0t8fHywsrKqdX1NkHTw4EFmzpzJiRMnuHbtGi+++CIBAQG4\nuLjg6OjIwYMHMTU11dqCaSV4PI3D3cFqcXExP/74Iz/88ANDhw6lS5cunD59mgsXLmBnZ4ezszPt\n27fX2ofHk3rok4NSPGSdavgO+ubxJJiamtK1a1cGDx6sXiM5YsQIWrRooeuiSSRapUHnQayuriY+\nPl79f0dHR9555x0yMjLYtm0bgDrZ6t2bMQoLC4E7U6zR0dF8/fXXzJ07l+bNm7Njxw5CQ0MB8Pb2\nZuDAgSxatIjz58//Yfb/P7PHkzrUlL8GCwsLpk6dire3N//4xz+wtLRk4sSJFBQUsH37dsrLyzWe\nb1ITHvrkoBQPWacavoO+eTwNrq6udO/enTZt2mBnZ6fr4kgk2kcT5/XVJ4mJieLs2bPi5s2bQggh\nJk2aJMaOHVvrNTExMWL8+PGitLT0vuvT09OFj4+P2LRpkxBCiFmzZom9e/eK0tJS8fHHH4t169aJ\nUaNGiXnz5qmv+fHHH8Xo0aNFWVmZ9NCgw4kTJ8Tbb78thBBi165dYu3aterfZWRkiJCQEDFu3DiR\nlZUlkpOTRWZmpkbKrUkPfXFQioesU8pw0CcPiUTyZDSoEcS9e/cybdo0wsLCCA4OJjQ0lNDQUIyN\njfn73/9OdXU1cCcDv4mJyQOnUZOSkrh9+zaffPIJ+/btw9fXl4KCAtavX4+fnx8DBgzA2tqa/fv3\nExcXhxCC0tJS5s6dq7F8Ykrw0IRD586dOXv2LJMnT6a4uJh169axYcMG4M4Ihb+/P9nZ2cyePZsW\nLVrg4ODw1OXWtIc+OCjFQ9Yp5Tjoi4dEInkKdB2h1pWMjAwxevRocfnyZSGEEMeOHRP/+Mc/RGBg\noMjJyRFvvfWWGDlypAgKChLDhg0TFy5ceOi9li5dKt544w3h4eEhVq9eLYQQYvjw4SI+Pl5cv35d\nTJgwQSQmJkoPLTpUVFQIIYQoKysTAwcOFOPHjxfbtm0Tw4cPFz///LMQQojt27eL5cuXa21k4Wk9\n9MFBKR6yTinHQV88JBLJ09GgjtqrqqpSr3Px9vbG1taWZcuWsXr1alasWEF0dDQqlYrmzZs/cAFx\neXk5JiYmtGnTBkdHR958800mTpxIbm4unp6erFu3jpMnTzJjxgzc3NwA7SXBbugeT+tgZGREZWUl\nJiYmbN26lVdeeYVNmzbx3nvvMXv2bA4cOMDly5f5/vvvtTqy8DQe+uKgFA9Zp5ThoE8eEonkyWkw\nu5gbNWrE6dOnKSsro2XLlpibm2NjY4OVlRUHDhygZ8+etGvXjhYtWmBtba2+Ljk5ma1bt+Lp6Ymh\noSEqlQorKysWLFiAv78/w4YNIyQkBGtra/r27cuAAQPw9/dXB1SaDg6V4PGkDveiUqmorKzE2NiY\nkSNHsnz5cnJycpg/fz4mJiZMnz5dHeBqA0146NpBKR6yTinLQR88JBLJ06HXAeLRo0fZu3cvsbGx\nuLi4YGRkxJ49e7CwsMDR0RFzc3NcXV1Zv349Xl5eNG3atNb1JSUljBo1it9++42MjAySkpIwMzPD\nzc2Nli1bEhUVxfDhw2nfvj3Lli0jODgYT09PjY+2KcHjaR0ehkqlUo+IDh48mE2bNvG3v/2Nbt26\nYWNjo5Gya9ujvh2U4iHrlLIddOEhkUg0h95uUomIiODzzz+npKSECxcu8Oqrr+Ls7Ey3bt3YvHkz\nW7Zs4cqVK+zfv5/8/HyaNGly3z3Mzc0JDg7G0dGR1NRUGjduzLvvvsuaNWu4cuUKGRkZ3Lhxg4CA\nACIjI9UHrWsyOFSChyYcHkZFRQXXrl0jKyuL48ePU1RUpLV0QtryqE8HpXjIOqV8h/r2kEgkmsVA\nCP1MOvXxxx/Tr18/AgICAPj222/ZvXs3X3zxBenp6Rw+fJikpCSMjY0JCgqiQ4cOD71XREQEQUFB\nzJkzh44dO7JhwwauX7/Onj17GD16NMHBwRgYGGjl7E8leGjS4V6Ki4tZvnw5J0+epLS0lPnz5+Ph\n4aGRcteXR306KMVD1inlO9S3h0Qi0TC62h3zKCoqKsSbb74pVq1aVevn33zzjXj++efFrVu3hBBC\n5OTkiPz8/Drdc/fu3aJr165ix44d6mtDQkJETEyMRst+N0rw0IbDvdy+fVskJyeLjIyMpy3uZg9S\njAAACcJJREFUQ9G2R304CKEMD1mn6oYSHISov7YhkUg0i16tQSwvL6eqqgpjY2Osra1ZvXo1LVq0\nUJ/12aNHD+Li4igqKqJz586Ym5tjampap3u3adMGNzc3QkJCMDU1xdfXF39/f5o1a6bxUUMleGjT\n4V7MzMxo3LixVo7Xqi8PbTqAMjxknXo8lOAA2m8bEolEO+hNmpt9+/axdetWsrOzefXVV3F1deW1\n115j7dq1GBgY0KtXLwDs7Oye+CimgQMHUlVVxYcffkj//v1xdHTE0NBQo8GhEjzqw6E+kB76gxIc\nQBkeSnCQSCTaRy/WIJ4+fZqPP/6YefPmce3aNU6cOIGxsTEdOnSgoqKCjRs3MnjwYCwtLVm/fj1h\nYWG0bt36if/ezZs367wL73FQgkd9O2gL6aE/KMEBlOGhBAeJRFI/6MUUc1RUFCqVijFjxuDh4UHz\n5s1JSkoiKysLPz8/evToQXR0NGVlZbz33nu0bdv2qf6ehYUFoPnk0UrwqG8HbSE99AclOIAyPJTg\nIJFI6ge9mGK2trYmLy+P4uJiLCws8PDwQAjBqlWrSExMZMSIEfTs2VPjSas1fT8leOjKQdNID/1B\nCQ6gDA8lOEgkkvpBL/Igenl5kZiYyL///W/gzohYhw4d6NGjB7t27aKioqJBdFhK8FCCA0gPfUIJ\nDqAMDyU4SCSS+kEnAWJBQYH639XV1TRp0oSlS5eyadMmFixYQFFREQCmpqY0btxYF0WsE0rwUIID\nSA99QgkOoAwPJThIJBLdUO+bVKKjo9m6dSvz589HCIFKpaKqqgpDQ0NSU1OZNm0arq6umJiYcOXK\nFRYsWKCXiVWV4KEEB5Ae+oQSHEAZHkpwkEgkuqNeA8QjR44QGBiIkZERkZGRtX5XUVGBsbExOTk5\nJCQkkJeXxzPPPEOLFi3qq3h1RgkeSnAA6aFPKMEBlOGhBAeJRKJjtJWB+15+//13MWzYMLF3714x\nc+ZMUVpa+sDXFRQU1FeRnggleCjBQQjpoU8owUEIZXgowUEikeieegkQjxw5IgYMGCBOnjwphBBi\nwIABIjw8/L7XRUZGirCwMFFcXFwfxXpslOChBAchpIc+oQQHIZThoQQHiUSiH9RLHsTS0lL69OmD\nl5cXAHl5eZSWluLt7U11dbV611xxcTFdu3alSZMm2i7SE6EEDyU4gPTQJ5TgAMrwUIKDRCLRE7QZ\nfebm5taa3qiurhZCCLF3717h6+srkpKSav1cX1GChxIchJAe+oQSHIRQhocSHCQSiX6hlRFEIQTX\nr1/nn//8J02bNqVZs2aoVCr1iR+tW7fm5s2bXL16lY4dOz7xIfDaRgkeSnAA6aFPKMEBlOGhBAeJ\nRKKfaCVANDAwwMTEhI8++oi8vDyaNm2Kk5MTRkZG6o6rtLSUiIgI7O3tadWqlaaLoBGU4KEEB5Ae\n+oQSHEAZHkpwkEgk+olWAsTq6mrOnDnDrVu3aNq0KSdPnsTe3h4nJycMDQ0BaN26NampqTz33HNY\nWVlpuggaQQkeSnAA6aFPKMEBlOGhBAeJRKKfaG0E8cqVK1RUVDBr1iyOHTvGsWPH1N9uVao7B7h0\n795drzssJXgowQGkhz6hBAdQhocSHCQSiX6isUTZJ0+eJCMjg+LiYkaOHAlATk4OdnZ2CCEICQnh\n9u3bjBgxAl9fX4yMjDTxZzWOEjyU4ADSQ59QggMow0MJDhKJRP/RyAjioUOHmD9/Pk5OTnz//fdY\nW1vj6emJubk5VVVVqFQq+vbty4EDB7h06RK9e/fG2NhYA8XXLErwUIIDSA99QgkOoAwPJThIJJKG\nwVOPIBYUFDBp0iRmzpxJ9+7dCQ0NxdbWFnt7e3r27Im9vT0GBgbq/FvZ2dnY29trpPCaRAkeSnAA\n6aFPKMEBlOGhBAeJRNJwUD3tDcrKysjNzcXDw4PCwkJWrVrFtWvXWLlyJaGhoeTk5GBgYEBVVRWA\n3nZYSvBQggNID31CCQ6gDA8lOEgkkgbEkyZQLC8vV/9727ZtQgghCgsLxe7du4UQQpSVlYm//OUv\n4scff3zSP1EvKMFDCQ5CSA99QgkOQijDQwkOEomk4fFEq5cPHTrE4cOHKSsro3///vj6+gJgaWnJ\ngAEDADAxMaFv377Y2dlpLprVMErwUIIDSA99QgkOoAwPJThIJJKGyWNPMZ88eZKQkBB69eqFhYUF\n+/btY+HChWRmZgIQHR1Namoq4eHh7Nu3jw4dOmi80JpACR5KcADpoU8owQGU4aEEB4lE0nCp8yYV\n8f+z8n/99dcYGBgwdepU4E4ntm3bNqqqqpg2bRo///wzUVFRNGrUiI8//hh3d3etCjwuSvBQggNI\nD33yUIIDKMNDCQ4SiaThU+c0NxUVFRgaGpKSksKlS5fw8vLC3NwcZ2dnGjVqREJCAnZ2dowaNYoh\nQ4YwdOhQHBwctFz8x0cJHkpwAOmhTyjBAZThoQQHiUTS8KnTFPPly5f55ZdfKCwsxMPDg+TkZGJi\nYqioqADuZOk3MjLi4MGDwJ31Mfp4KLwSPJTgANJDn1CCAyjDQwkOEolEGTxyBLFmqmPnzp2sWbMG\nc3Nz+vfvj0ql4uuvv8bZ2RlbW1vMzc1JT0+noKCAnj17qo930heU4KEEB5Ae+uShBAdQhocSHCQS\nibJ45C7mmoSr6enpmJqacvbsWYQQjB07FoA1a9awa9cu7OzsOHToEN988436gHh9QgkeSnAA6aFP\nKMEBlOGhBAeJRKIs6rQGMS4ujldffZVGjRoRFRVFbm4uo0aNwtPTE1tbWwwNDZk+fTqtW7euhyI/\nOUrwUIIDSA99QgkOoAwPJThIJBJlUKc8iAMHDsTBwQFLS0uqq6uJjo7GwMCAIUOG4OHhoe0yagwl\neCjBAaSHPqEEB1CGhxIcJBKJMqjTCKKtrS0mJiYAPPPMMxQUFLBv3z6EEHTo0KHW+Z/6jBI8lOAA\n0kOfUIIDKMNDCQ4SiUQZ1DnNDfxvIXWnTp2orKykT58+WFlZNbgOSwkeSnAA6aFPKMEBlOGhBAeJ\nRNKwqXOi7BpqOq6GjhI8lOAA0kOfUIIDKMNDCQ4SiaTh8tgBokQikUgkEolE2cgkWhKJRCKRSCSS\nWsgAUSKRSCQSiURSCxkgSiQSiUQikUhqIQNEiUQikUgkEkktZIAokUgkEolEIqmFDBAlEolEIpFI\nJLWQAaJEIpFIJBKJpBYyQJRIJBKJRCKR1EIGiBKJRCKRSCSSWsgAUSKRSCQSiURSCxkgSiQSiUQi\nkUhqIQNEiUQikUgkEkktZIAokUgkEolEIqmFDBAlEolEIpFIJLWQAaJEIpFIJBKJpBb/D0lcrJF6\nl2MHAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13aa61710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"stacked_bar_chart(me_against_the_world, top_5_phyla, list(fasting_samples), ag_metadata_fecal_healthy_rare10k)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Well that was fun! Now, let's make some alpha diversity plots. What we're going to do is first subset the alpha diversity scores by whether they are mine, or everyone elses so that we don't accidentally plot my data twice. "
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fasting_pd = faith_pd.loc[(fasting_samples).intersection(faith_pd.index)]\n",
"chili_pd = faith_pd.loc[(chili_samples).intersection(faith_pd.index)]\n",
"others_pd = faith_pd.drop(set(fasting_pd.index) | set(chili_pd.index))\n",
"\n",
"fasting_shannon = shannon.loc[(fasting_samples).intersection(shannon.index)]\n",
"chili_shannon = shannon.loc[(chili_samples).intersection(shannon.index)]\n",
"others_shannon = shannon.drop(set(fasting_pd.index) | set(chili_pd.index))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, we're going to write a method for displaying a histogram of alpha diversities such that we can also overlay the location of where my points fall."
]
},
{
"cell_type": "code",
"execution_count": 269,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11a872780>"
]
},
"execution_count": 269,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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GIRYAAAAAYBuEWAAAAACAbRBiAQAAAAC2QYgFAAAAANgGIRYAAAAAYBuEWAAAAACAbRBi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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13acbc320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def adiv_plot(ax, values, self_values, md):\n",
" ax.hist(values, bins=50, alpha=0.5)\n",
"\n",
" txt = []\n",
" txt_points = []\n",
" ymin, ymax = ax.get_ylim()\n",
" ax.scatter(self_values, [ymax * 0.05] * len(self_values), c=np.arange(len(self_values)), zorder=2, s=50, cmap='Reds_r')\n",
" ax.set_xticks(self_values)\n",
" \n",
" tick_labels = []\n",
" for i in self_values.index:\n",
" cdate = md.loc[i].COLLECTION_DATE\n",
" suffix = \"\"\n",
" if i == '10317.000004216':\n",
" suffix = \" --- DAY AFTER\"\n",
" tick_labels.append(cdate.strftime('%b-%d') + suffix)\n",
" \n",
" ax.set_xticklabels(tick_labels, fontsize=15, rotation=90, ha='center')\n",
" ax.set_xlim(min(values), max(values))\n",
" ymin, ymax = ax.get_ylim()\n",
" ax.set_ylim(0, ymax)\n",
" \n",
" median = values.median()\n",
" ax.plot([median, median], [0, ymax], color='g', lw=5)\n",
" \n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(16,8))\n",
"\n",
"adiv_plot(ax1, others_shannon, chili_shannon, ag_metadata_fecal_healthy)\n",
"adiv_plot(ax2, others_pd, chili_pd, ag_metadata_fecal_healthy)\n",
"ax1.set_ylabel('Chili', fontsize=16)\n",
"ax1.set_title(\"Shannon\", fontsize=16)\n",
"ax2.set_title(\"Faith's PD\", fontsize=16)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now what we're going to do is compute the amount of alpha diversity within each individual phyla for all samples."
]
},
{
"cell_type": "code",
"execution_count": 232,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"phyla_pd = {}\n",
"phyla_shannon = {}\n",
"for phy in top_5_phyla:\n",
" t = per_phyla_tables[phy]\n",
" phyla_pd[phy] = alpha_diversity('faith_pd', t.matrix_data.T.toarray().astype(int), \n",
" ids=t.ids(), otu_ids=t.ids(axis='observation'), \n",
" tree=gg138_tree)\n",
" phyla_shannon[phy] = alpha_diversity('shannon', t.matrix_data.T.toarray().astype(int), \n",
" ids=t.ids())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now look at the amount of alpha diversity, both Shannon and PD, within each phyla."
]
},
{
"cell_type": "code",
"execution_count": 239,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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eLmof9rKdAkBFRQVSU1PRoUMH0dsQEREREREROSL6ye/vv/+O1q1b11geGhqK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\nE600cNIP7AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13ca77940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, grid = plt.subplots(5, 3, figsize=(16,16), sharex='col')\n",
"grid[0, 0].set_title('PD', fontsize=15)\n",
"grid[0, 1].set_title('Shannon', fontsize=15)\n",
"grid[0, 2].set_title('Relative abundance', fontsize=15)\n",
"sampleset = chili_samples\n",
"\n",
"for i, phy in enumerate(top_5_phyla):\n",
" phy_pd = phyla_pd[phy]\n",
" phy_sh = phyla_shannon[phy]\n",
" phy_rel = pd.Series(phyla_summary.norm().data(phy, axis='observation', dense=True), index=phyla_summary.ids())\n",
" \n",
" phy_pd_self = phy_pd.loc[(sampleset).intersection(phy_pd.index)]\n",
" phy_sh_self = phy_sh.loc[(sampleset).intersection(phy_sh.index)]\n",
" phy_rel_self = phy_rel.loc[(sampleset).intersection(phy_rel.index)]\n",
" \n",
" grid[i, 0].set_ylabel(phy, fontsize=15)\n",
" grid[i, 0].hist(phy_pd[phy_pd != 0], bins=50, normed=True, alpha=0.5)\n",
" grid[i, 1].hist(phy_sh[phy_sh != 0].dropna(), bins=50, normed=True, alpha=0.5)\n",
" grid[i, 2].hist(phy_rel[phy_rel != 0], bins=50, range=(0, 1), normed=True, alpha=0.5)\n",
"\n",
" pd_miny, pd_maxy = grid[i, 0].get_ylim()\n",
" pd_minx, pd_maxx = grid[i, 0].get_xlim()\n",
" sh_miny, sh_maxy = grid[i, 1].get_ylim()\n",
" sh_minx, sh_maxx = grid[i, 1].get_xlim()\n",
" rel_miny, rel_maxy = grid[i, 2].get_ylim()\n",
" rel_minx, rel_maxx = grid[i, 2].get_xlim()\n",
" \n",
" grid[i, 0].scatter(phy_pd_self, [pd_maxy * 0.05] * len(phy_pd_self), c=np.arange(len(phy_pd_self)), zorder=2, s=50, cmap='Reds_r')\n",
" grid[i, 1].scatter(phy_sh_self, [sh_maxy * 0.05] * len(phy_sh_self), c=np.arange(len(phy_sh_self)), zorder=2, s=50, cmap='Reds_r')\n",
" grid[i, 2].scatter(phy_rel_self, [rel_maxy * 0.05] * len(phy_rel_self), c=np.arange(len(phy_rel_self)), zorder=2, s=50, cmap='Reds_r')\n",
"\n",
" phy_pd_median = phy_pd[phy_pd != 0].median()\n",
" phy_sh_median = phy_sh[phy_sh != 0].dropna().median()\n",
" phy_rel_median = phy_rel[phy_rel != 0].median()\n",
" \n",
" grid[i, 0].plot([phy_pd_median, phy_pd_median], [0, pd_maxy], color='g', lw=2)\n",
" grid[i, 1].plot([phy_sh_median, phy_sh_median], [0, sh_maxy], color='g', lw=2)\n",
" grid[i, 2].plot([phy_rel_median, phy_rel_median], [0, rel_maxy], color='g', lw=2)\n",
" \n",
" grid[i, 0].set_ylim(0, pd_maxy)\n",
" grid[i, 1].set_ylim(0, sh_maxy)\n",
" grid[i, 2].set_ylim(0, rel_maxy)\n",
"\n",
" grid[i, 0].set_xlim(0, pd_maxx)\n",
" grid[i, 1].set_xlim(0, sh_maxx)\n",
" grid[i, 2].set_xlim(0, rel_maxx)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And last, let's explore how dominated samples are by individual taxons. What we're going to do is produce a rank-abundance plot and show a curve per-phyla. We're going to normalize these curves as to show the relatiave abundance of the dominant taxa within the phyla. We're then going to highlight which samples are mine."
]
},
{
"cell_type": "code",
"execution_count": 268,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11ebb7cf8>"
]
},
"execution_count": 268,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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0VNVa+sZCCCGqhGsnzCX0MF+vfa9Q6ufFk2ozcnLXqaoITQghborBMxhUK+b0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5tZuHAhAQEBhIWFERkZiUajYdasWQDcf//9rFu3joyMDKKiotrsf+3atXh4ePDyyy8jSRJhYWEs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\nxrx58wCYPXs2r732Wv9+wzD42c9+Rn19Pf/xH/+B/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dISzHQTRoT8fJ9qnSbDvdaRngQt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\nsAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13841d710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,8))\n",
"xmax = 0\n",
"for i, phy in enumerate(top_5_phyla):\n",
" table = per_phyla_tables[phy].filter(lambda v, i, md: (v != 0).sum() > 0, inplace=False).norm()\n",
" \n",
" table_ids = table.ids()\n",
" \n",
" max_values = table.max('sample')\n",
" max_values_order = np.argsort(max_values)[::-1]\n",
" max_values = max_values[max_values_order]\n",
" table_ids = table_ids[max_values_order]\n",
" \n",
" plt.plot(np.arange(0, len(max_values)), max_values)\n",
" \n",
" my_positions = []\n",
" my_values = []\n",
" for idx, (i, v) in enumerate(zip(table_ids, max_values)):\n",
" if i in chili_samples:\n",
" my_positions.append(idx)\n",
" my_values.append(v)\n",
" \n",
" plt.scatter(my_positions, my_values, color='k', zorder=10)\n",
"\n",
" xmax = max(xmax, len(max_values))\n",
" \n",
"plt.ylim(0, 1.01)\n",
"plt.xlim(0, xmax) \n",
"plt.legend(top_5_phyla, prop={'size': 15}, bbox_to_anchor=(1.5, 0.7))\n",
"plt.ylabel('Relative abundance within a phyla', fontsize=15)\n",
"plt.xlabel('Samples', fontsize=15)\n",
"plt.title('Rank-abundance plot of the top 5 gut phyla', fontsize=15)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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