16S_2024_solutions.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/Gibbons-Lab/isb_course_2024/blob/main/16S_2024.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "2inlS7SNn0-o",
    "tags": []
   },
   "source": [
    "# 🦠 Amplicon Sequencing Data Analysis with QIIME 2\n",
    "\n",
    "### 🔗 Important Links\n",
    "- [Course Github](https://github.com/Gibbons-Lab/isb_course_2024): Github repository for the 2024 ISB Virtual Microbiome Series\n",
    "\n",
    "    - [Day 1 Slides](https://gibbons-lab.github.io/isb_course_2024/16S): Presentation slides that accompany this notebook\n",
    "\n",
    "    - [Day 1 Solutions](https://github.com/Gibbons-Lab/isb_course_2024/16S_solutions.ipynb): Pre-run notebook \n",
    "\n",
    "    - [Treasure chest](https://github.com/Gibbons-Lab/isb_course_2024/tree/main/treasure_chest): All files generated in the notebooks\n",
    "    \n",
    "- [QIIME 2 view](http://view.qiime2.org): A browser-based interface for viewing QIIME artifacts and visualizations (tables and plots)\n",
    "- [QIIME 2 plugins](https://docs.qiime2.org/2024.5/plugins/): more information on the QIIME 2 plugins we're using today"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "lcJVyVD80fAG"
   },
   "source": [
    "### 🛑 STOP! Before you run anything ...\n",
    "\n",
    "1. Save your own local copy of this notebook by using `File > Save a copy in Drive`. At some point you may be prompted to trust the notebook. We promise that it is safe 🤞\n",
    "\n",
    "2. Keep in mind, **the code in this notebook must be run IN ORDER** If you get lost or encounter errors, all outputs can be found in `materials/treasure chest` or on the link above."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Disclaimer:** The Google Colab notebook environment will interpret any command as Python code by default. If we want to run bash commands we will have to prefix them by `!`. So any command you see with a leading `!` is a bash command and if you wanted to run it in your terminal you would omit the `!`. For example, if in the Colab notebook you ran `!wget` you would just run `wget` in your terminal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "UVawr3gG0fAG",
    "tags": []
   },
   "source": [
    "---\n",
    "# Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CuWOn36b0fAH"
   },
   "source": [
    "QIIME 2 is usually installed by following the [official installation instructions](https://docs.qiime2.org/2024.5/install/). However, because we are using Google Colab and there are some caveats to using conda here, we will have to hack around the installation a little bit. But no worries, we provide a setup script below which does all this work for us. 😌\n",
    "\n",
    "So...let's start by pulling a local copy of the project repository down from GitHub. This repository, called `materials`, contains all the relevant data and other resources we'll need for this course. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "9Cyg41Tcn1Ua",
    "outputId": "a207fd86-51e3-4e07-8ae9-a6cbafc4ef18"
   },
   "outputs": [],
   "source": [
    "!git clone https://github.com/gibbons-lab/isb_course_2024 materials"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "MQ9XVvOToEBR"
   },
   "source": [
    "To view the directory, you can click on the folder 📁 icon on the left. To run code from this directory, we will navigate to it via command line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "GvNHs-EroFNM",
    "outputId": "ce246af8-4475-47c8-d71f-7eb3b431c914"
   },
   "outputs": [],
   "source": [
    "%cd materials"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "IHvKnTbdypyp"
   },
   "source": [
    "Notice here we use ```%``` instead of ```!``` to run our command line function. This makes the path change to our directory _permanent_. Using the ```!``` operator only switches the interpreter to expect command line prompts temporarily.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "nJ56MqA50fAJ"
   },
   "source": [
    "Now that we have all our materials, we're _almost_ ready to get started - but not quite. Remember QIIME? We'll need to install that before getting into the actual analysis. Don't worry - this will only set up in the Colab notebook, not on your local machine.\n",
    "\n",
    "**Let's run the following cell, to install and setup QIIME2**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 298
    },
    "id": "Inkvkt_DoSQT",
    "outputId": "278c4207-ca12-4ecf-d562-2335990d6170"
   },
   "outputs": [],
   "source": [
    "%run setup_qiime2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Pajd6O0OpE_f"
   },
   "source": [
    "⬆️ This will take some time (usually 10 to 15 minutes), so we'll switch back over to the [presentation](https://gibbons-lab.github.io/isb_course_2024/16S) while we wait.\n",
    "\n",
    "If you want to learn more about QIIME2, we recommend you check out the [documentation](https://docs.qiime2.org/). This will also explain how to install QIIME2 on your local machine 🖥"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "RccdNYBeqQVn",
    "tags": []
   },
   "source": [
    "---\n",
    "# Data Import"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "QIIME2 can take us from raw sequences to ecological insight!\n",
    "![our workflow](https://github.com/Gibbons-Lab/isb_course_2024/raw/main/docs/16S/assets/steps.png)\n",
    "But we first need to get our raw data into QIIME2. To do this, we will need:\n",
    "1. **Raw sequencing files** (.fastq): FASTQ files contain both sequence and quality scores, as opposed to FASTA, which only have sequence. We want those quality scores so that we can trim or discard low-quality reads.\n",
    "\n",
    "2. **Metadata file** (.tsv): This file contains the sample id, along with all non-sequencing data for each sample. Here, our metadata includes disease status, age, sex, BMI, geographical location, and prescription drug use, as well as some information on diet and GI symptoms.\n",
    "\n",
    "3. **Manifest file** (.tsv): This file contains the sample id and the path to its sequencing file. This is how QIIME matches a sequence to its correct metadata. 📝"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "bPExCVcl0fAK"
   },
   "source": [
    "Let's begin by taking a look at our data. In the `data` folder, you'll find 10 FASTQ files, a file manifest, and a metadata file.\n",
    "\n",
    "If we read in `manifest.tsv`, we can see that it is a table containing the _name_ and _filepath_ of all our samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 362
    },
    "id": "_pFaCnO6iqqW",
    "outputId": "160bf3f3-5f7c-4460-ef75-9599327044f8"
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sample-id</th>\n",
       "      <th>absolute-filepath</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ERR1513701</td>\n",
       "      <td>$PWD/data/ERR1513701.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>ERR1513870</td>\n",
       "      <td>$PWD/data/ERR1513870.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ERR1513889</td>\n",
       "      <td>$PWD/data/ERR1513889.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ERR1513684</td>\n",
       "      <td>$PWD/data/ERR1513684.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ERR1513703</td>\n",
       "      <td>$PWD/data/ERR1513703.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>ERR1514003</td>\n",
       "      <td>$PWD/data/ERR1514003.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>ERR1513961</td>\n",
       "      <td>$PWD/data/ERR1513961.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>ERR1513983</td>\n",
       "      <td>$PWD/data/ERR1513983.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>ERR1513964</td>\n",
       "      <td>$PWD/data/ERR1513964.fastq.gz</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>ERR1513777</td>\n",
       "      <td>$PWD/data/ERR1513777.fastq.gz</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    sample-id              absolute-filepath\n",
       "0  ERR1513701  $PWD/data/ERR1513701.fastq.gz\n",
       "1  ERR1513870  $PWD/data/ERR1513870.fastq.gz\n",
       "2  ERR1513889  $PWD/data/ERR1513889.fastq.gz\n",
       "3  ERR1513684  $PWD/data/ERR1513684.fastq.gz\n",
       "4  ERR1513703  $PWD/data/ERR1513703.fastq.gz\n",
       "5  ERR1514003  $PWD/data/ERR1514003.fastq.gz\n",
       "6  ERR1513961  $PWD/data/ERR1513961.fastq.gz\n",
       "7  ERR1513983  $PWD/data/ERR1513983.fastq.gz\n",
       "8  ERR1513964  $PWD/data/ERR1513964.fastq.gz\n",
       "9  ERR1513777  $PWD/data/ERR1513777.fastq.gz"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "manifest = pd.read_csv('data/manifest.tsv', sep = '\\t')\n",
    "manifest"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "vAIoc31bgTY_"
   },
   "source": [
    "We can also check out `metadata.tsv`, which will give us more context on our samples 🔬"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 712
    },
    "id": "sAfnoRnxgZOO",
    "outputId": "25ad5351-711f-41a9-82e8-fa6acec4406e",
    "scrolled": true
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   "outputs": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>parkinson_disease</th>\n",
       "      <th>sex</th>\n",
       "      <th>age</th>\n",
       "      <th>bmi</th>\n",
       "      <th>stool_travel_time</th>\n",
       "      <th>location</th>\n",
       "      <th>anticholinergic</th>\n",
       "      <th>carbidopa_levodopa</th>\n",
       "      <th>comt_inhibitor</th>\n",
       "      <th>p3m_antibiotics_bool</th>\n",
       "      <th>p3m_constipation</th>\n",
       "      <th>fruits_or_vegetables</th>\n",
       "      <th>grains</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ERR1513684</td>\n",
       "      <td>Yes</td>\n",
       "      <td>male</td>\n",
       "      <td>58.0</td>\n",
       "      <td>25.33</td>\n",
       "      <td>6.0</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>ERR1513701</td>\n",
       "      <td>Yes</td>\n",
       "      <td>male</td>\n",
       "      <td>78.0</td>\n",
       "      <td>18.99</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Few times a week</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ERR1513703</td>\n",
       "      <td>Yes</td>\n",
       "      <td>female</td>\n",
       "      <td>53.0</td>\n",
       "      <td>27.92</td>\n",
       "      <td>4.0</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ERR1513777</td>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>62.0</td>\n",
       "      <td>22.96</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Albany, NY</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ERR1513870</td>\n",
       "      <td>Yes</td>\n",
       "      <td>male</td>\n",
       "      <td>70.0</td>\n",
       "      <td>25.68</td>\n",
       "      <td>8.0</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Few times a week</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>ERR1513889</td>\n",
       "      <td>Yes</td>\n",
       "      <td>male</td>\n",
       "      <td>78.0</td>\n",
       "      <td>30.51</td>\n",
       "      <td>3.0</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>Few times a week</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>ERR1513961</td>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>67.0</td>\n",
       "      <td>24.48</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>ERR1513964</td>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>69.0</td>\n",
       "      <td>33.47</td>\n",
       "      <td>4.0</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>Few times a week</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>ERR1513983</td>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>72.0</td>\n",
       "      <td>25.84</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>ERR1514003</td>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>63.0</td>\n",
       "      <td>31.29</td>\n",
       "      <td>3.0</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           id parkinson_disease     sex   age    bmi  stool_travel_time  \\\n",
       "0  ERR1513684               Yes    male  58.0  25.33                6.0   \n",
       "1  ERR1513701               Yes    male  78.0  18.99                2.0   \n",
       "2  ERR1513703               Yes  female  53.0  27.92                4.0   \n",
       "3  ERR1513777                No  female  62.0  22.96                1.0   \n",
       "4  ERR1513870               Yes    male  70.0  25.68                8.0   \n",
       "5  ERR1513889               Yes    male  78.0  30.51                3.0   \n",
       "6  ERR1513961                No  female  67.0  24.48                2.0   \n",
       "7  ERR1513964                No  female  69.0  33.47                4.0   \n",
       "8  ERR1513983                No  female  72.0  25.84                2.0   \n",
       "9  ERR1514003                No    male  63.0  31.29                3.0   \n",
       "\n",
       "      location anticholinergic carbidopa_levodopa comt_inhibitor  \\\n",
       "0  Atlanta, GA               N                  Y              N   \n",
       "1  Atlanta, GA               N                  Y              N   \n",
       "2  Atlanta, GA               N                  Y              N   \n",
       "3   Albany, NY               N                  N              N   \n",
       "4  Seattle, WA               N                  Y              N   \n",
       "5  Seattle, WA               N                  Y              N   \n",
       "6  Seattle, WA               N                  N              N   \n",
       "7  Seattle, WA               N                  N              N   \n",
       "8  Seattle, WA               N                  N              N   \n",
       "9  Seattle, WA               N                  N              N   \n",
       "\n",
       "  p3m_antibiotics_bool p3m_constipation fruits_or_vegetables  \\\n",
       "0                  Yes              Yes  At least once a day   \n",
       "1                   No               No     Few times a week   \n",
       "2                  Yes               No  At least once a day   \n",
       "3                   No               No  At least once a day   \n",
       "4                  Yes              Yes     Few times a week   \n",
       "5                   No               No  At least once a day   \n",
       "6                  Yes               No  At least once a day   \n",
       "7                   No               No  At least once a day   \n",
       "8                   No               No  At least once a day   \n",
       "9                   No               No  At least once a day   \n",
       "\n",
       "                grains  \n",
       "0  At least once a day  \n",
       "1  At least once a day  \n",
       "2  At least once a day  \n",
       "3  At least once a day  \n",
       "4  At least once a day  \n",
       "5     Few times a week  \n",
       "6  At least once a day  \n",
       "7     Few times a week  \n",
       "8  At least once a day  \n",
       "9  At least once a day  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metadata = pd.read_csv('data/metadata.tsv', sep='\\t')\n",
    "metadata"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_ssDjv0I0fAL"
   },
   "source": [
    "Looks good, all 10 FASTQ files are accounted for, five healthy and five with Parkinson's Disease. We can use the manifest file to import our files into QIIME."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "qc10jMUYsXyh",
    "tags": []
   },
   "source": [
    "## FASTQ to Artifact"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HLF-zdrJXq7q"
   },
   "source": [
    "To use sequencing data in QIIME, we first need to turn the FASTQ files containing our data into QIIME artifacts. Using the manifest we just checked out, let's run our first command:\n",
    "\n",
    "-- as a reminder, adding ```!``` before the command tells the notebook this is a **bash** command, rather than python."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "QmLebzqFX_0N",
    "outputId": "022d22f5-5a0e-4b91-c125-2cedc826f03e"
   },
   "outputs": [],
   "source": [
    "!qiime tools import \\\n",
    "  --type 'SampleData[SequencesWithQuality]' \\\n",
    "  --input-path data/manifest.tsv \\\n",
    "  --output-path sequences.qza \\\n",
    "  --input-format SingleEndFastqManifestPhred33V2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "N2Pmtg-aaqvr"
   },
   "source": [
    "Let's take a look a the command. QIIME commands take following format:\n",
    "\n",
    "```\n",
    "qiime plugin action --i-argument1 ... --o-argument2 ...\n",
    "```\n",
    "In the previous command, we are calling the ```tools``` plugin within QIIME2 to import our data. The following arguments designate where the manifest is, as well as where the output should be saved. We also tell QIIME what sort of input to expect.\n",
    "\n",
    "Argument types usually begin with a letter denoting their meaning:\n",
    "\n",
    "- `--i-...` = input files\n",
    "- `--o-...` = output files\n",
    "- `--p-...` = parameters\n",
    "- `--m-...` = metadata"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Wb__5zxD0fAM",
    "tags": []
   },
   "source": [
    "## Artifact to Visualization 🔎\n",
    "\n",
    "Before we move on, let's use QIIME to visualize our sequencing data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "nVPsDHTNvNUw",
    "outputId": "eb7034d2-910b-4825-f668-18ff83978859"
   },
   "outputs": [],
   "source": [
    "!qiime demux summarize \\\n",
    "--i-data sequences.qza \\\n",
    "--o-visualization qualities.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "o29TMwWOy9L1"
   },
   "source": [
    ".qzv files like the one we just produced are visualization. You can view the plot by **downloading the file and opening it using http://view.qiime2.org**. To download the file click on the folder symbol to the left, open the `materials` folder, and choose download from the dot menu next to the `qualities.qzv` file."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "va8RVKqP0fAM",
    "tags": []
   },
   "source": [
    "---\n",
    "# Quality Filtering: From Sequence to ASV"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Lxb_lE8l0fAN"
   },
   "source": [
    "\n",
    "Before we can use our sequencing data, we need to \"denoise\" it. To do this, we'll use a *plugin* called ```DADA2```. This involves a few things:\n",
    "\n",
    "1. filter and trim the reads\n",
    "2. find the most likely set of unique sequences in the sample (ASVs)\n",
    "3. remove chimeras\n",
    "4. count the abundances of each ASV\n",
    "\n",
    "\n",
    "This command will take a little time - let's run it, and head back to the presentation to discuss what's happening."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "HclmzHqyacLU",
    "outputId": "537ecb15-7847-4aa8-f38c-f49a75b8d85b"
   },
   "outputs": [],
   "source": [
    "!qiime dada2 denoise-single \\\n",
    "    --i-demultiplexed-seqs sequences.qza \\\n",
    "    --p-trunc-len 150 \\\n",
    "    --p-n-threads 2 \\\n",
    "    --output-dir dada --verbose"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "sEs5k1Za-54R"
   },
   "source": [
    "\n",
    "If this step takes too long or fails, you can also copy the results from the treasure chest with the following command."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "-Sba9UTNeoji"
   },
   "outputs": [],
   "source": [
    "# obscure magic that will only copy if the previous command failed\n",
    "![ -d dada ] || cp -r treasure_chest/dada ."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we open up the `dada` folder 📁, we will see several outputs.\n",
    "- `representative_sequences.qza` is our *ASV abundance table* 🧬\n",
    "- `denoising-stats.qza` contains the *denoising statistics* 📊\n",
    "\n",
    "We'll want to look at the denoising statistics to make sure the denoising went well. It is normal to lose between 5-25% of reads to chimeras, but major loss could be due to running too many PCR cycles.\n",
    "\n",
    "As mentioned before, we can't view QIIME *artifacts* directly, but we can convert them to *visualizations* using the action `tabulate` from the plugin `metadata`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "z-iW0UBd_Iiu",
    "outputId": "c0c41e43-5e54-4290-89e3-9e12a27701fa"
   },
   "outputs": [],
   "source": [
    "!qiime metadata tabulate \\\n",
    "    --m-input-file dada/denoising_stats.qza \\\n",
    "    --o-visualization dada/denoising-stats.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "TWqEgfzRKA5t"
   },
   "source": [
    "Like before, we can download the .qzv file and visualize the results using the [QIIME2 Viewer](https://view.qiime2.org/).\n",
    "\n",
    "It's important to understand what this output tells us. For instance, what percent of reads in our data pass the filtering step? What percent of reads were non-chimeric? Differences in these metrics between samples can affect diversity metrics."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For more information on paired-end quality filtering, check out the [2023 course](https://github.com/Gibbons-Lab/isb_course_2023)! "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mQKTRQXJ0fAO",
    "tags": []
   },
   "source": [
    "---\n",
    "# Phylogenetics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have an ASV table, we can calculate diversity metrics! But first, head back to the [presentation](https://gibbons-lab.github.io/isb_course_2024/16S) for an introduction to diversity!\n",
    "\n",
    "Note: we're getting into analyses that some may prefer to perform in RStudio or Jupyter Notebooks, without the use of the QIIME framework. For example, diversity analyses can be performed using `scikit-bio` in Python or `vegan` in R. In fact, QIIME2 is using `scikit-bio` and `vegan` under the hood for its diversity calculations!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "bPoyj-6c0fAU",
    "tags": []
   },
   "source": [
    "### From ASVs to Phylogenetic Trees with QIIME2 `phylogeny`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Bw8D0aML0fAU"
   },
   "source": [
    "Some *diversity metrics* are calculated using **phylogenetic distance**, so let's start by building a phylogenetic tree for our sequences using the following command. This time, we call the `phylogeny` plugin in QIIME2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "Ym7blrPpKQuJ",
    "outputId": "c8b24f51-63af-4f52-b4cb-d1fef9d72a00"
   },
   "outputs": [],
   "source": [
    "!qiime phylogeny align-to-tree-mafft-fasttree \\\n",
    "    --i-sequences dada/representative_sequences.qza \\\n",
    "    --output-dir tree"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "T1jbqaW1hrmQ"
   },
   "source": [
    "We can create a visualization for the tree using the `empress` QIIME 2 plugin. See [documentation](https://github.com/biocore/empress) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "2Ttf0RTyhaPH",
    "outputId": "093a0e79-c6e1-4bfb-9804-3676d0a87cce"
   },
   "outputs": [],
   "source": [
    "!qiime empress tree-plot \\\n",
    "    --i-tree tree/rooted_tree.qza \\\n",
    "    --o-visualization tree/empress.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "# Diversity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "H4fTVpeToufK",
    "tags": []
   },
   "source": [
    "## Part 1: The Basics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dyp1iAoW0fAV"
   },
   "source": [
    "The QIIME2 `diversity` plugin has an action called `core-metrics-phylogenetic`, which calculates _several_ phylogenetic and non-phylogenetic diversity metrics.\n",
    "\n",
    "We can use our table and tree to calculate several diversity metrics. To account for variations in **sampling depth**, we'll provide QIIME2 with a cutoff at which we will **rarefy** all our samples. Rarefaction  **randomly** selects sequences, so your results might look a little different from mine. We'll also pass in our metadata file, so we can keep track of which samples come from each group."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "1YqaTqS5huAz",
    "outputId": "2c082204-f04f-406d-b6a2-f4f401fef260"
   },
   "outputs": [],
   "source": [
    "!qiime diversity core-metrics-phylogenetic \\\n",
    "    --i-table dada/table.qza \\\n",
    "    --i-phylogeny tree/rooted_tree.qza \\\n",
    "    --p-sampling-depth 5000 \\\n",
    "    --m-metadata-file data/metadata.tsv \\\n",
    "    --output-dir diversity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "7kiYQC_30fAW"
   },
   "source": [
    "If you open the `diversity` folder, you'll see that we calculated all of the diversity metrics I just mentioned. For more information on how these diversity metrics are calculated and interpreted, check out this QIIME [forum post](https://forum.qiime2.org/t/alpha-and-beta-diversity-explanations-and-commands/2282).\n",
    "\n",
    "But what we're really interested in is whether diversity differs *significantly* between disease and healthy samples, or other covariates. Therefore, we will need to do statistical tests. \n",
    "\n",
    "Head back to the [slides](https://gibbons-lab.github.io/isb_course_2024/16S), and we'll go over some types of statistical tests, and when to use them."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "XslTNgFBg5qp",
    "tags": []
   },
   "source": [
    "### Alpha diversity: richness and evenness _within_ a sample"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "AVT3NfDT0fAW"
   },
   "source": [
    "We get a bunch of outputs from the previous command - measures of both alpha and beta diversity. To start, let's use the Shannon vector in the output directory to create a visualization of alpha diversity across samples. Generally, healthy, long-living individuals have balanced diverse microbiomes. However, this isn't necessarily a direct indicator of health or disease. Let's see how it looks in our samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "ne2WybKgh6fv",
    "outputId": "c4f2a54d-83af-4c37-c51e-e78c652dbaf2"
   },
   "outputs": [],
   "source": [
    "!qiime diversity alpha-group-significance \\\n",
    "    --i-alpha-diversity diversity/shannon_vector.qza \\\n",
    "    --m-metadata-file data/metadata.tsv \\\n",
    "    --o-visualization diversity/alpha_groups.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HzF0iOjD0fAW"
   },
   "source": [
    "Like before, we can download the visualization and open it with the [QIIME2 viewer](http://view.qiime2.org)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "V5eJbSNo0fAX",
    "tags": []
   },
   "source": [
    "### Beta diversity: distance between samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VNmxg2lmjyHE"
   },
   "source": [
    "Let's visualize the beta diversity and see how they separate. For this we'll look at weighted UniFrac. This time, we'll have to download the file ⬅️\n",
    "\n",
    "We can check for 'significant' separation between samples using PERMANOVA. We can do this with the diversity plugin in QIIME2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "WMASNLaWjxwD",
    "outputId": "969fdd0d-b65c-4351-8982-86c2972d37b7"
   },
   "outputs": [],
   "source": [
    "!qiime diversity adonis \\\n",
    "    --i-distance-matrix diversity/weighted_unifrac_distance_matrix.qza \\\n",
    "    --m-metadata-file data/metadata.tsv \\\n",
    "    --p-formula \"parkinson_disease\" \\\n",
    "    --p-n-jobs 2 \\\n",
    "    --o-visualization diversity/permanova.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "YtogNk5h0fAY"
   },
   "source": [
    "We already ran a PCoAs for each distance metric, and we can look at them if we open `weighted_unifrac_emperor.qzv`, `unweighted_unifrac_emperor.qzv`, `bray_curtis_emperor.qzv`, or `jaccard_emperor.qzv` in [QIIME2 viewer](http://view.qiime2.org)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Are these results informative? A discussion of sample size, effect size, and confounding"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These results aren't very informative, and in some cases they are counterintuitive. There are several reasons this may be:\n",
    "\n",
    "1. **Small sample size:** We are using a very small sample size (n = 10). Even if we could observe trends, we wouldn't expect statistical significance.\n",
    "\n",
    "2. **Shannon diversity is a very coarse-grain metric:** Shannon Index attempts to summarize microbiome diversity (very complicated) into a single number.\n",
    "\n",
    "3. **Strong confounders:** This data is from an observational study, were confounders were not controlled. Some confounders (like diet and drug exposure) are known to have strong effects on diversity, which may conceal smaller relationships between the microme and a variable of interest (like disease status).\n",
    "\n",
    "In observational studies, it is common to **stratify** across confounders, or include them as **covariates** in regressions. But with a sample size n = 10, we can really only test 1 variable without breaking assumptions. \n",
    "\n",
    "**But what if we had a bigger sample size?** This would open the door to more types of analyses. We couldn't process the entire dataset on Colab due to limited computational power, but luckily, **we've pre-processed the entire dataset for you**!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 2: Dealing with confounders"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Alpha Diversity Stratification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The full Hill-Burns 2017 dataset files are in the MATERIALS FOLDER. Let's load them into QIIME2 now.\n",
    "\n",
    "We'll keep this analysis in the `complete_study` folder so we don't confuse our files from earlier.\n",
    "\n",
    "If you get lost at any point, the outputs generated from the complete dataset can be found in `treasure_chest/complete_study_outputs`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Copy full dataset directory into your local directory\n",
    "![ -d complete_study ] || cp -r treasure_chest/complete_study ."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now have a LOT more metadata than before. Let's take a peek."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(330, 39)\n"
     ]
    },
    {
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       "      <td>79.0</td>\n",
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       "      <td>70.0</td>\n",
       "      <td>33.12</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Few times a month</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ERR1513671</td>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>79.0</td>\n",
       "      <td>32.28</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ERR1513672</td>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>70.0</td>\n",
       "      <td>24.44</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Few times a week</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>Few times a week</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ERR1513673</td>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>76.0</td>\n",
       "      <td>25.06</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>NaN</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>Few times a week</td>\n",
       "      <td>At least once a day</td>\n",
       "      <td>Few times a week</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 39 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           id parkinson_disease     sex   age    bmi     location  \\\n",
       "0  ERR1513669                No  female  79.0  28.34  Atlanta, GA   \n",
       "1  ERR1513670                No  female  70.0  33.12  Atlanta, GA   \n",
       "2  ERR1513671                No  female  79.0  32.28  Atlanta, GA   \n",
       "3  ERR1513672                No  female  70.0  24.44  Atlanta, GA   \n",
       "4  ERR1513673                No    male  76.0  25.06  Atlanta, GA   \n",
       "\n",
       "  anticholinergic antibiotics_bool anti_inflammatory_bool comt_inhibitor  ...  \\\n",
       "0               N               No                    Yes              N  ...   \n",
       "1               N               No                    Yes              N  ...   \n",
       "2               N               No                     No              N  ...   \n",
       "3               N               No                     No              N  ...   \n",
       "4               N               No                    Yes              N  ...   \n",
       "\n",
       "  crohns_disease  yogurt_live_culture                 nuts  \\\n",
       "0             No                  NaN     Few times a week   \n",
       "1             No                  NaN    Few times a month   \n",
       "2             No                  Yes  At least once a day   \n",
       "3             No                   No     Few times a week   \n",
       "4             No                  NaN  At least once a day   \n",
       "\n",
       "                grains fruits_or_vegetables                meats tobacco  \\\n",
       "0     Few times a week     Few times a week     Few times a week   False   \n",
       "1  At least once a day  At least once a day  At least once a day   False   \n",
       "2  At least once a day  At least once a day  At least once a day   False   \n",
       "3  At least once a day     Few times a week  At least once a day   False   \n",
       "4     Few times a week  At least once a day     Few times a week   False   \n",
       "\n",
       "  marijuana alcohol_bool coffee_bool  \n",
       "0     False         True        True  \n",
       "1     False        False        True  \n",
       "2     False        False       False  \n",
       "3     False         True       False  \n",
       "4     False         True        True  \n",
       "\n",
       "[5 rows x 39 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "complete_metadata = pd.read_csv('complete_study/complete_metadata.tsv', sep='\\t')\n",
    "print(complete_metadata.shape)\n",
    "complete_metadata.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the original paper, the authors found that anticholinergic medications, catechol-O-methyltransferase (comt) inhibitors, region, sex, age, and PD had significant, independent signals on microbiome composition. How does alpha diversity vary across these variables?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!qiime diversity alpha-group-significance \\\n",
    "    --i-alpha-diversity complete_study/diversity/shannon_vector.qza \\\n",
    "    --m-metadata-file complete_study/complete_metadata.tsv \\\n",
    "    --o-visualization complete_study/diversity/alpha_groups.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once again, view in [QIIME2 viewer](http://view.qiime2.org).\n",
    "\n",
    "Notice that `alpha-group-significance` performs a _separate_ Kruskal-Wallis test for each variable, and outputs an _un-adjusted p-value_. If we want to analyze _multiple_ alpha diversity-covariate relationships (i.e. perform multiple tests), then we need to _control the fales discovery rate (FDR) by correcting our p-values_. We will go over this later."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### PCoA + PERMANOVA for Beta diversity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we now have n = 300+, we can include more variables in our PERMANOVA."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's run ANOVA for just disease status so we can really see what adding covariates does to our results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!qiime diversity adonis \\\n",
    "    --i-distance-matrix complete_study/diversity/weighted_unifrac_distance_matrix.qza \\\n",
    "    --m-metadata-file complete_study/complete_metadata.tsv \\\n",
    "    --p-formula \"parkinson_disease\" \\\n",
    "    --p-n-jobs 2 \\\n",
    "    --o-visualization complete_study/diversity/permanova_PD.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you look at the table in [QIIME2 viewer](http://view.qiime2.org), you'll notice that since our sample size increased, the effect of PD on UniFrac beta diversity (though very small at R-squared = 0.01) is now significant (at least before FDR corrections)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also use PERMANOVA to identify confounders. PERMANOVA tells us how much variance in the community composition is explained by each variable. Common confounders include sex, age, BMI, diet, and antibiotic use. In the original study, authors identified that Parkinson's Disease medications were associated with different microbiome compositions. Let's take a look at these variables."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But wait - `adonis` requires any variables in the formula to have no NaN/missing values! If we tried to run `adonis` with all of these variables, it would throw an error. So we will have to **filter** out samples that have NA values for any variables we want to test. \n",
    "\n",
    "Let's look at the metadata file to see which variables have NaN values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>parkinson_disease</th>\n",
       "      <th>sex</th>\n",
       "      <th>age</th>\n",
       "      <th>bmi</th>\n",
       "      <th>comt_inhibitor</th>\n",
       "      <th>carbidopa_levodopa</th>\n",
       "      <th>anticholinergic</th>\n",
       "      <th>location</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>79.0</td>\n",
       "      <td>28.34</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>70.0</td>\n",
       "      <td>33.12</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>79.0</td>\n",
       "      <td>32.28</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>70.0</td>\n",
       "      <td>24.44</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>76.0</td>\n",
       "      <td>25.06</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>325</th>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>74.0</td>\n",
       "      <td>30.81</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>326</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>66.0</td>\n",
       "      <td>41.96</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>327</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>74.0</td>\n",
       "      <td>34.44</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>328</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>63.0</td>\n",
       "      <td>27.48</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>329</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>76.0</td>\n",
       "      <td>29.18</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>330 rows × 8 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    parkinson_disease     sex   age    bmi comt_inhibitor carbidopa_levodopa  \\\n",
       "0                  No  female  79.0  28.34              N                  N   \n",
       "1                  No  female  70.0  33.12              N                  N   \n",
       "2                  No  female  79.0  32.28              N                  N   \n",
       "3                  No  female  70.0  24.44              N                  N   \n",
       "4                  No    male  76.0  25.06              N                  N   \n",
       "..                ...     ...   ...    ...            ...                ...   \n",
       "325                No    male  74.0  30.81              N                  N   \n",
       "326                No  female  66.0  41.96              N                  N   \n",
       "327                No  female  74.0  34.44              N                  N   \n",
       "328                No  female  63.0  27.48              N                  N   \n",
       "329                No  female  76.0  29.18              N                  N   \n",
       "\n",
       "    anticholinergic     location  \n",
       "0                 N  Atlanta, GA  \n",
       "1                 N  Atlanta, GA  \n",
       "2                 N  Atlanta, GA  \n",
       "3                 N  Atlanta, GA  \n",
       "4                 N  Atlanta, GA  \n",
       "..              ...          ...  \n",
       "325               N  Seattle, WA  \n",
       "326               N  Seattle, WA  \n",
       "327               N  Seattle, WA  \n",
       "328               N  Seattle, WA  \n",
       "329               N  Seattle, WA  \n",
       "\n",
       "[330 rows x 8 columns]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metadata_perm = complete_metadata[['parkinson_disease', 'sex', 'age', 'bmi', 'comt_inhibitor', 'carbidopa_levodopa', 'anticholinergic', 'location']].copy()\n",
    "metadata_perm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "bmi                   11\n",
       "comt_inhibitor        13\n",
       "carbidopa_levodopa    13\n",
       "anticholinergic       13\n",
       "dtype: int64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# what variables have N/A values for the PERMANOVA we want to run?\n",
    "col_na_num = metadata_perm.isna().sum()\n",
    "col_na_bool = col_na_num[col_na_num > 0]\n",
    "col_na_bool"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like a subset of people did not fill out these questions. How many samples will we have if we filter them out?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe tbody tr th:only-of-type {\n",
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       "\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>parkinson_disease</th>\n",
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       "      <th>anticholinergic</th>\n",
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       "      <th>1</th>\n",
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       "      <td>No</td>\n",
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       "      <td>N</td>\n",
       "      <td>N</td>\n",
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       "      <td>79.0</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
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       "      <td>N</td>\n",
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       "      <th>4</th>\n",
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       "    <tr>\n",
       "      <th>325</th>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>74.0</td>\n",
       "      <td>30.81</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>74.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>326</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>66.0</td>\n",
       "      <td>41.96</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>66.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>327</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>74.0</td>\n",
       "      <td>34.44</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>74.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>328</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>63.0</td>\n",
       "      <td>27.48</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>63.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>329</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>76.0</td>\n",
       "      <td>29.18</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>76.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>307 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    parkinson_disease     sex   age    bmi comt_inhibitor carbidopa_levodopa  \\\n",
       "0                  No  female  79.0  28.34              N                  N   \n",
       "1                  No  female  70.0  33.12              N                  N   \n",
       "2                  No  female  79.0  32.28              N                  N   \n",
       "3                  No  female  70.0  24.44              N                  N   \n",
       "4                  No    male  76.0  25.06              N                  N   \n",
       "..                ...     ...   ...    ...            ...                ...   \n",
       "325                No    male  74.0  30.81              N                  N   \n",
       "326                No  female  66.0  41.96              N                  N   \n",
       "327                No  female  74.0  34.44              N                  N   \n",
       "328                No  female  63.0  27.48              N                  N   \n",
       "329                No  female  76.0  29.18              N                  N   \n",
       "\n",
       "    anticholinergic     location   age  \n",
       "0                 N  Atlanta, GA  79.0  \n",
       "1                 N  Atlanta, GA  70.0  \n",
       "2                 N  Atlanta, GA  79.0  \n",
       "3                 N  Atlanta, GA  70.0  \n",
       "4                 N  Atlanta, GA  76.0  \n",
       "..              ...          ...   ...  \n",
       "325               N  Seattle, WA  74.0  \n",
       "326               N  Seattle, WA  66.0  \n",
       "327               N  Seattle, WA  74.0  \n",
       "328               N  Seattle, WA  63.0  \n",
       "329               N  Seattle, WA  76.0  \n",
       "\n",
       "[307 rows x 9 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metadata_perm.dropna(axis=0, subset=['bmi', 'comt_inhibitor', 'carbidopa_levodopa', 'anticholinergic'], how='any')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the QIIME plugin `filter-distance-matrix` this time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# filter QIIME table\n",
    "!qiime diversity filter-distance-matrix \\\n",
    "    --i-distance-matrix complete_study/diversity/weighted_unifrac_distance_matrix.qza \\\n",
    "    --m-metadata-file complete_study/complete_metadata.tsv \\\n",
    "    --p-where \"[bmi] IS NOT NULL AND [comt_inhibitor] IS NOT NULL AND [carbidopa_levodopa] IS NOT NULL AND [anticholinergic] IS NOT NULL\" \\\n",
    "    --o-filtered-distance-matrix complete_study/diversity/weighted_unifrac_distance_matrix_no_NA.qza"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!qiime diversity adonis \\\n",
    "    --i-distance-matrix complete_study/diversity/weighted_unifrac_distance_matrix_no_NA.qza \\\n",
    "    --m-metadata-file complete_study/complete_metadata.tsv \\\n",
    "    --p-formula \"parkinson_disease + sex + age + bmi + location + comt_inhibitor + carbidopa_levodopa + anticholinergic\" \\\n",
    "    --p-n-jobs 2 \\\n",
    "    --o-visualization complete_study/diversity/permanova_with_confounders.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before, we did not see a significant p-value for the effect of Parkinson's disease on beta diversity. However, when we add certain covariates, we might find that they were confounding a relationship. \n",
    "\n",
    "However, most of our variance remains unexplained. Microbiome composition is affected by many things, and this is an uncontrolled cohort study, so we would not expect any single variable to explain most of the variance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Dimensionality reduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to __visually__ show this separation between samples, we can't just plot the entire UniFrac distance matrix, because it has 100+ dimensions! Instead, we can use **dimensionality reduction** to \"compress\" our data into a few dimensions that explain most of the variance. There are several types of dimensionality reduction (like UMAP and tSNE), but the preferred method of dimensionality reduction for microbiome communities is Principal Coordinate Analysis (PCoA). This is because PCoA is linear, and thus preserves the global structure of the data and is reproducible."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We already ran a PCoAs for each distance metric, and we can look at them if we download `weighted_unifrac_emperor.qzv`, `unweighted_unifrac_emperor.qzv`, `bray_curtis_emperor.qzv`, or `jaccard_emperor.qzv`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "XTXoJhjs0fAY"
   },
   "source": [
    "---\n",
    "# Taxonomic Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### From ASV to taxonomic count table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CR2f0q4trGfA"
   },
   "source": [
    "We can learn a lot from diversity metrics, alpha and beta. But to really dig into the data, we need to know what microbes are in each sample 🦠. To do this, we'll classify the reads in QIIME2 using a pre-trained Bayesian classifier. Several such classifiers are available at https://docs.qiime2.org/2024.5/data-resources/\n",
    "\n",
    "From the QIIME2 plugin `feature-classifier`, we will use the action the action `classifiy-sklearn` which takes your ASVs and a pre-trained scikit-learn classifier as inputs. We are using a Naive Bayesian classifier specific to the 16S V4 region (515f-806r) because that is the region we sequence, but also it will make it easier to run MICOM tomorrow!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "firXAVIHrEzT",
    "outputId": "44fd0067-ad26-4083-ea0b-2945c9efc345"
   },
   "outputs": [],
   "source": [
    "# run a classifier on our 10-sample mini dataset\n",
    "!qiime feature-classifier classify-sklearn \\\n",
    "    --i-reads dada/representative_sequences.qza \\\n",
    "    --i-classifier ncbi-refseq-genus-515f-806r.qza \\\n",
    "    --p-n-jobs 2 \\\n",
    "    --o-classification taxa.qza"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ftEKkIx-uJtA"
   },
   "source": [
    "Now we've classified the reads, we can visualize the taxonomic breakdown of our samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "RSRrxhX7x4dE",
    "outputId": "09dbb1eb-8b03-453c-d3ed-1aa0642a7574"
   },
   "outputs": [],
   "source": [
    "!qiime taxa barplot \\\n",
    "    --i-table dada/table.qza \\\n",
    "    --i-taxonomy taxa.qza \\\n",
    "    --m-metadata-file data/metadata.tsv \\\n",
    "    --o-visualization taxa_barplot.qzv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "LbZ2f-kOx4jY"
   },
   "source": [
    "Now, we can use ```table.qza```, which contains our reads, and ```taxa.qza```, which contains taxonomic classifications for reads, and collapse the data onto the genus level."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "XTClvRnXx4ob",
    "outputId": "ae841b68-ecc2-4e0b-cd23-7a2e415bd206"
   },
   "outputs": [],
   "source": [
    "!qiime taxa collapse \\\n",
    "    --i-table dada/table.qza \\\n",
    "    --i-taxonomy taxa.qza \\\n",
    "    --p-level 6 \\\n",
    "    --o-collapsed-table genus.qza"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exporting your taxa table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "zZPj_eiux9DP"
   },
   "source": [
    "Taxonomic feature tables in QIIME2 can be exported as .biom files, which can then be converted to .tsv files if desired. This is important, because some analysis methods not available on QIIME2 may require .biom or .tsv formats.\n",
    "\n",
    "We'll export this as a .tsv, which will be more usable for the next portion of the course that you'll see tomorrow."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "deJ-FLcTx9Jq",
    "outputId": "fd93fc05-677b-4ff0-da72-eeeeaf5c906e"
   },
   "outputs": [],
   "source": [
    "!qiime tools export \\\n",
    "    --input-path genus.qza \\\n",
    "    --output-path exported\n",
    "    \n",
    "!biom convert -i exported/feature-table.biom -o genus.tsv --to-tsv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_1jjxJv5Pzwr"
   },
   "source": [
    "Let's peek at the results 🔭"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 474
    },
    "id": "nrq3gtn42kWv",
    "outputId": "5e8e3328-325f-4ceb-9330-d29beeab7112"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ERR1513684</th>\n",
       "      <th>ERR1513701</th>\n",
       "      <th>ERR1513703</th>\n",
       "      <th>ERR1513777</th>\n",
       "      <th>ERR1513870</th>\n",
       "      <th>ERR1513889</th>\n",
       "      <th>ERR1513961</th>\n",
       "      <th>ERR1513964</th>\n",
       "      <th>ERR1513983</th>\n",
       "      <th>ERR1514003</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>#OTU ID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Peptococcaceae;g__Peptococcus</th>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger</th>\n",
       "      <td>11.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>110.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>55.0</td>\n",
       "      <td>147.0</td>\n",
       "      <td>224.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>55.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;__;__</th>\n",
       "      <td>39.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>1816.0</td>\n",
       "      <td>595.0</td>\n",
       "      <td>177.0</td>\n",
       "      <td>82.0</td>\n",
       "      <td>1418.0</td>\n",
       "      <td>236.0</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Ruthenibacterium</th>\n",
       "      <td>0.0</td>\n",
       "      <td>15.0</td>\n",
       "      <td>51.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium</th>\n",
       "      <td>852.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>186.0</td>\n",
       "      <td>2485.0</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>1025.0</td>\n",
       "      <td>1113.0</td>\n",
       "      <td>344.0</td>\n",
       "      <td>698.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Butyribacter</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>42.0</td>\n",
       "      <td>48.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>17.0</td>\n",
       "      <td>14.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__[Eubacterium]</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>38.0</td>\n",
       "      <td>255.0</td>\n",
       "      <td>516.0</td>\n",
       "      <td>439.0</td>\n",
       "      <td>402.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1569.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Bariatricus</th>\n",
       "      <td>13.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>193.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>125.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Proteobacteria;__;__;__;__</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>209 rows × 10 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                    ERR1513684  ERR1513701  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         2.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        11.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        39.0        21.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0        15.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       852.0         0.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        13.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;__;__;__;__                  0.0         0.0   \n",
       "\n",
       "                                                    ERR1513703  ERR1513777  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0       110.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        44.0      1816.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        51.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       186.0      2485.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         8.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        38.0       255.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        20.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;__;__;__;__                  0.0         0.0   \n",
       "\n",
       "                                                    ERR1513870  ERR1513889  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       150.0        55.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       595.0       177.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0        21.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...      4000.0      1000.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        42.0        48.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       516.0       439.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       193.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0       125.0   \n",
       "k__Bacteria;p__Proteobacteria;__;__;__;__                  0.0         0.0   \n",
       "\n",
       "                                                    ERR1513961  ERR1513964  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0        14.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       147.0       224.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        82.0      1418.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         9.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...      1025.0      1113.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         3.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       402.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        16.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;__;__;__;__                  0.0         0.0   \n",
       "\n",
       "                                                    ERR1513983  ERR1514003  \n",
       "#OTU ID                                                                     \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        12.0        55.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       236.0        24.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       344.0       698.0  \n",
       "...                                                        ...         ...  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        17.0        14.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0      1569.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0        10.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0  \n",
       "k__Bacteria;p__Proteobacteria;__;__;__;__                  0.0         2.0  \n",
       "\n",
       "[209 rows x 10 columns]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abundances = pd.read_table(\"genus.tsv\", skiprows=1, index_col=0)\n",
    "abundances"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ROKU7_tcyFKD"
   },
   "source": [
    "This is easier to interpret by visualizing the results. We can use the file we just exported from QIIME2 to build a visualization using any tool we like, such as seaborn or plotnine.\n",
    "\n",
    "Here is an example of building a visualization (a heatmap) in seaborn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "id": "vC5qKf680fAa"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 548
    },
    "id": "YOHG-0nXquu5",
    "outputId": "878d6d19-62e1-43ef-ff02-feca30ee0c09"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.matrix.ClusterGrid at 0x7f2ac7223850>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1600x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "abund_to_plot = abundances.copy()\n",
    "abund_to_plot.index = abund_to_plot.index.str.split(\";\").str[5]          # Use only the genus name\n",
    "abund_to_plot = abund_to_plot[~abund_to_plot.index.isin([\"g__\", \"__\"])]  # remove unclassified genera\n",
    "abund_to_plot = abund_to_plot.sample(50, axis=0)                         # use 50 random genera (rows)\n",
    "\n",
    "# Let's do a centered log-ratio transform: log x_i - log mean(x)\n",
    "transformed = abund_to_plot.apply(\n",
    "    lambda xs: np.log(xs + 0.5) - np.log(xs.mean() + 0.5),\n",
    "    axis=0)\n",
    "\n",
    "sns.clustermap(transformed.T, cmap=\"magma\", xticklabels=True, figsize=(16, 6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "GfzsEjtS0fAb"
   },
   "source": [
    "Now, our data is starting to be interpretable. Each row is a sample, and each column is a bacterial genus. The table values are \"counts\", or the number of times a genus was detected in a certain sample. We can use relative abundance data to test hypotheses, but it requires special statistical methods because it is ___compositional___.\n",
    "\n",
    "Let's discuss what we can do about that in the [presentation](https://gibbons-lab.github.io/isb_course_2024/16S)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "-N5E8lW40fAb"
   },
   "source": [
    "---\n",
    "# Differential Abundance Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at abundances in the _complete_ dataset, so you can see the abundance distributions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We're going to be switching to python to show you these transformations, so we'll need a few more packages 📦"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Counts to relative abundance:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before we do any testing, we need to divide genus counts by total sample counts. This gives us _relative abundance_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>ERR1513669</th>\n",
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       "      <th>ERR1513673</th>\n",
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       "      <th>ERR1513675</th>\n",
       "      <th>ERR1513676</th>\n",
       "      <th>ERR1513677</th>\n",
       "      <th>ERR1513678</th>\n",
       "      <th>...</th>\n",
       "      <th>ERR1514006</th>\n",
       "      <th>ERR1514007</th>\n",
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       "      <th>#OTU ID</th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;__;__;__;__;__</th>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>274.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>30.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Peptococcaceae;g__Peptococcus</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>17.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger</th>\n",
       "      <td>0.0</td>\n",
       "      <td>215.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>53.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>85.0</td>\n",
       "      <td>69.0</td>\n",
       "      <td>...</td>\n",
       "      <td>62.0</td>\n",
       "      <td>83.0</td>\n",
       "      <td>362.0</td>\n",
       "      <td>200.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>33.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>1412.0</td>\n",
       "      <td>52.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__</th>\n",
       "      <td>106.0</td>\n",
       "      <td>203.0</td>\n",
       "      <td>252.0</td>\n",
       "      <td>83.0</td>\n",
       "      <td>1071.0</td>\n",
       "      <td>285.0</td>\n",
       "      <td>52.0</td>\n",
       "      <td>68.0</td>\n",
       "      <td>258.0</td>\n",
       "      <td>961.0</td>\n",
       "      <td>...</td>\n",
       "      <td>650.0</td>\n",
       "      <td>281.0</td>\n",
       "      <td>469.0</td>\n",
       "      <td>337.0</td>\n",
       "      <td>157.0</td>\n",
       "      <td>39.0</td>\n",
       "      <td>118.0</td>\n",
       "      <td>316.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>18.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium</th>\n",
       "      <td>89.0</td>\n",
       "      <td>632.0</td>\n",
       "      <td>496.0</td>\n",
       "      <td>348.0</td>\n",
       "      <td>26.0</td>\n",
       "      <td>427.0</td>\n",
       "      <td>728.0</td>\n",
       "      <td>670.0</td>\n",
       "      <td>584.0</td>\n",
       "      <td>3131.0</td>\n",
       "      <td>...</td>\n",
       "      <td>674.0</td>\n",
       "      <td>1103.0</td>\n",
       "      <td>3883.0</td>\n",
       "      <td>1302.0</td>\n",
       "      <td>672.0</td>\n",
       "      <td>296.0</td>\n",
       "      <td>1217.0</td>\n",
       "      <td>1013.0</td>\n",
       "      <td>141.0</td>\n",
       "      <td>81.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o__Fusobacteriales;f__Fusobacteriaceae;g__Cetobacterium</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o__Fusobacteriales;f__Leptotrichiaceae;g__Sneathia</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pseudomonadales;__;__</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactobacillales;__;__</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;__</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>497 rows × 330 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                    ERR1513669  ERR1513670  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                 0.0         4.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0       215.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       106.0       203.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        89.0       632.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1513671  ERR1513672  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                19.0        14.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0        17.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        34.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       252.0        83.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       496.0       348.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1513673  ERR1513674  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                 7.0        27.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         9.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...      1071.0       285.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        26.0       427.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1513675  ERR1513676  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                               274.0         3.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        53.0         8.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        52.0        68.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       728.0       670.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1513677  ERR1513678  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                 4.0         7.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        85.0        69.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       258.0       961.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       584.0      3131.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ...  ERR1514006  \\\n",
       "#OTU ID                                             ...               \n",
       "k__Bacteria;__;__;__;__;__                          ...        30.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...         4.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...        62.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...       650.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...       674.0   \n",
       "...                                                 ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...  ...         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...  ...         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...  ...         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...  ...         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...  ...         0.0   \n",
       "\n",
       "                                                    ERR1514007  ERR1514008  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                27.0         3.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        83.0       362.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       281.0       469.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...      1103.0      3883.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1514009  ERR1514010  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                 3.0        21.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       200.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       337.0       157.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...      1302.0       672.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1514011  ERR1514012  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                23.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        33.0        11.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        39.0       118.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       296.0      1217.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1514013  ERR1514014  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                                13.0        21.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...      1412.0        52.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...       316.0        54.0   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...      1013.0       141.0   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0         0.0   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0         0.0   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0         0.0   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0         0.0   \n",
       "\n",
       "                                                    ERR1514015  \n",
       "#OTU ID                                                         \n",
       "k__Bacteria;__;__;__;__;__                                 2.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         0.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...         8.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        18.0  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...        81.0  \n",
       "...                                                        ...  \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0  \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...         0.0  \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...         0.0  \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...         0.0  \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...         0.0  \n",
       "\n",
       "[497 rows x 330 columns]"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "complete_abundances = pd.read_table('complete_study/genus.tsv', skiprows=1, index_col=0)\n",
    "complete_abundances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>ERR1513669</th>\n",
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       "      <th>k__Bacteria;__;__;__;__;__</th>\n",
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       "      <td>0.001087</td>\n",
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       "      <td>0.000373</td>\n",
       "      <td>0.000341</td>\n",
       "      <td>...</td>\n",
       "      <td>0.002382</td>\n",
       "      <td>0.003130</td>\n",
       "      <td>0.000207</td>\n",
       "      <td>0.000438</td>\n",
       "      <td>0.001654</td>\n",
       "      <td>0.003234</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000590</td>\n",
       "      <td>0.001497</td>\n",
       "      <td>0.000243</td>\n",
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       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Peptococcaceae;g__Peptococcus</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000960</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000664</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000318</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.012613</td>\n",
       "      <td>0.001945</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.006583</td>\n",
       "      <td>0.000601</td>\n",
       "      <td>0.007934</td>\n",
       "      <td>0.003360</td>\n",
       "      <td>...</td>\n",
       "      <td>0.004923</td>\n",
       "      <td>0.009621</td>\n",
       "      <td>0.025002</td>\n",
       "      <td>0.029193</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.004641</td>\n",
       "      <td>0.001376</td>\n",
       "      <td>0.064054</td>\n",
       "      <td>0.003706</td>\n",
       "      <td>0.000974</td>\n",
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       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__</th>\n",
       "      <td>0.010902</td>\n",
       "      <td>0.011909</td>\n",
       "      <td>0.014416</td>\n",
       "      <td>0.004688</td>\n",
       "      <td>0.050469</td>\n",
       "      <td>0.021012</td>\n",
       "      <td>0.006459</td>\n",
       "      <td>0.005105</td>\n",
       "      <td>0.024081</td>\n",
       "      <td>0.046803</td>\n",
       "      <td>...</td>\n",
       "      <td>0.051608</td>\n",
       "      <td>0.032572</td>\n",
       "      <td>0.032392</td>\n",
       "      <td>0.049190</td>\n",
       "      <td>0.012367</td>\n",
       "      <td>0.005484</td>\n",
       "      <td>0.014763</td>\n",
       "      <td>0.014335</td>\n",
       "      <td>0.003849</td>\n",
       "      <td>0.002191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium</th>\n",
       "      <td>0.009154</td>\n",
       "      <td>0.037076</td>\n",
       "      <td>0.028374</td>\n",
       "      <td>0.019654</td>\n",
       "      <td>0.001225</td>\n",
       "      <td>0.031480</td>\n",
       "      <td>0.090424</td>\n",
       "      <td>0.050304</td>\n",
       "      <td>0.054508</td>\n",
       "      <td>0.152486</td>\n",
       "      <td>...</td>\n",
       "      <td>0.053513</td>\n",
       "      <td>0.127854</td>\n",
       "      <td>0.268182</td>\n",
       "      <td>0.190045</td>\n",
       "      <td>0.052934</td>\n",
       "      <td>0.041626</td>\n",
       "      <td>0.152258</td>\n",
       "      <td>0.045954</td>\n",
       "      <td>0.010049</td>\n",
       "      <td>0.009858</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o__Fusobacteriales;f__Fusobacteriaceae;g__Cetobacterium</th>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o__Fusobacteriales;f__Leptotrichiaceae;g__Sneathia</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pseudomonadales;__;__</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactobacillales;__;__</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;__</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>497 rows × 330 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                    ERR1513669  ERR1513670  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.000000    0.000235   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.012613   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.010902    0.011909   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.009154    0.037076   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1513671  ERR1513672  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.001087    0.000791   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000960   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.001945    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.014416    0.004688   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.028374    0.019654   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1513673  ERR1513674  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.000330    0.001991   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000664   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.050469    0.021012   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.001225    0.031480   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1513675  ERR1513676  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.034033    0.000225   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.006583    0.000601   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.006459    0.005105   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.090424    0.050304   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1513677  ERR1513678  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.000373    0.000341   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.007934    0.003360   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.024081    0.046803   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.054508    0.152486   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ...  ERR1514006  \\\n",
       "#OTU ID                                             ...               \n",
       "k__Bacteria;__;__;__;__;__                          ...    0.002382   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...    0.000318   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...    0.004923   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...    0.051608   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...  ...    0.053513   \n",
       "...                                                 ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...  ...    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...  ...    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...  ...    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...  ...    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...  ...    0.000000   \n",
       "\n",
       "                                                    ERR1514007  ERR1514008  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.003130    0.000207   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.009621    0.025002   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.032572    0.032392   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.127854    0.268182   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1514009  ERR1514010  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.000438    0.001654   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.029193    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.049190    0.012367   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.190045    0.052934   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1514011  ERR1514012  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.003234    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.004641    0.001376   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.005484    0.014763   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.041626    0.152258   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1514013  ERR1514014  \\\n",
       "#OTU ID                                                                      \n",
       "k__Bacteria;__;__;__;__;__                            0.000590    0.001497   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.064054    0.003706   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.014335    0.003849   \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.045954    0.010049   \n",
       "...                                                        ...         ...   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000    0.000000   \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000    0.000000   \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000    0.000000   \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000    0.000000   \n",
       "\n",
       "                                                    ERR1514015  \n",
       "#OTU ID                                                         \n",
       "k__Bacteria;__;__;__;__;__                            0.000243  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000000  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.000974  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.002191  \n",
       "k__Bacteria;p__Firmicutes;c__Clostridia;o__Euba...    0.009858  \n",
       "...                                                        ...  \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000  \n",
       "k__Bacteria;p__Fusobacteria;c__Fusobacteriia;o_...    0.000000  \n",
       "k__Bacteria;p__Proteobacteria;c__Gammaproteobac...    0.000000  \n",
       "k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactoba...    0.000000  \n",
       "k__Bacteria;p__Actinobacteria;c__Actinomycetia;...    0.000000  \n",
       "\n",
       "[497 rows x 330 columns]"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rel_abund = complete_abundances.divide(complete_abundances.sum(axis=0), axis=1)     # divide all values in a row by the sum of the row\n",
    "rel_abund"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Preprocessing:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Do any rows have entirely zero? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rows_with_zeros = rel_abund.eq(0).all(axis=1)\n",
    "count_row_zeros = rows_with_zeros.sum()\n",
    "count_row_zeros"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How many rows (genera) are not present in most samples (zero in >80% of samples?)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "397\n"
     ]
    },
    {
     "data": {
      "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>#OTU ID</th>\n",
       "      <th>k__Bacteria;__;__;__;__;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;__;__</th>\n",
       "      <th>k__Bacteria;p__Bacteroidetes;__;__;__;__</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Enterobacterales;f__Enterobacteriaceae;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Blautia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Dorea</th>\n",
       "      <th>k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;g__Bifidobacterium</th>\n",
       "      <th>...</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ERR1513669</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.010902</td>\n",
       "      <td>0.009154</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.352875</td>\n",
       "      <td>0.010593</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.012650</td>\n",
       "      <td>0.000411</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002263</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513670</th>\n",
       "      <td>0.000235</td>\n",
       "      <td>0.012613</td>\n",
       "      <td>0.011909</td>\n",
       "      <td>0.037076</td>\n",
       "      <td>0.071982</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.013669</td>\n",
       "      <td>0.026516</td>\n",
       "      <td>0.000880</td>\n",
       "      <td>0.004165</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000645</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.050334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513671</th>\n",
       "      <td>0.001087</td>\n",
       "      <td>0.001945</td>\n",
       "      <td>0.014416</td>\n",
       "      <td>0.028374</td>\n",
       "      <td>0.005892</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.514673</td>\n",
       "      <td>0.013329</td>\n",
       "      <td>0.001316</td>\n",
       "      <td>0.007322</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000172</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000801</td>\n",
       "      <td>0.000286</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513672</th>\n",
       "      <td>0.000791</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.004688</td>\n",
       "      <td>0.019654</td>\n",
       "      <td>0.029143</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.287699</td>\n",
       "      <td>0.020502</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.011917</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000169</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000282</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.084717</td>\n",
       "      <td>0.000226</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000452</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513673</th>\n",
       "      <td>0.000330</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.050469</td>\n",
       "      <td>0.001225</td>\n",
       "      <td>0.014373</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.443900</td>\n",
       "      <td>0.055040</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.004382</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.006362</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.004948</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514011</th>\n",
       "      <td>0.003234</td>\n",
       "      <td>0.004641</td>\n",
       "      <td>0.005484</td>\n",
       "      <td>0.041626</td>\n",
       "      <td>0.026157</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.452679</td>\n",
       "      <td>0.007594</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.001266</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514012</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.001376</td>\n",
       "      <td>0.014763</td>\n",
       "      <td>0.152258</td>\n",
       "      <td>0.025773</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.028025</td>\n",
       "      <td>0.049418</td>\n",
       "      <td>0.007381</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000626</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514013</th>\n",
       "      <td>0.000590</td>\n",
       "      <td>0.064054</td>\n",
       "      <td>0.014335</td>\n",
       "      <td>0.045954</td>\n",
       "      <td>0.027082</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.262021</td>\n",
       "      <td>0.008302</td>\n",
       "      <td>0.001406</td>\n",
       "      <td>0.000953</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000272</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000363</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514014</th>\n",
       "      <td>0.001497</td>\n",
       "      <td>0.003706</td>\n",
       "      <td>0.003849</td>\n",
       "      <td>0.010049</td>\n",
       "      <td>0.007056</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.270401</td>\n",
       "      <td>0.015965</td>\n",
       "      <td>0.005630</td>\n",
       "      <td>0.001710</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000428</td>\n",
       "      <td>0.010548</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514015</th>\n",
       "      <td>0.000243</td>\n",
       "      <td>0.000974</td>\n",
       "      <td>0.002191</td>\n",
       "      <td>0.009858</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.443106</td>\n",
       "      <td>0.003164</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>330 rows × 100 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "#OTU ID     k__Bacteria;__;__;__;__;__  \\\n",
       "ERR1513669                    0.000000   \n",
       "ERR1513670                    0.000235   \n",
       "ERR1513671                    0.001087   \n",
       "ERR1513672                    0.000791   \n",
       "ERR1513673                    0.000330   \n",
       "...                                ...   \n",
       "ERR1514011                    0.003234   \n",
       "ERR1514012                    0.000000   \n",
       "ERR1514013                    0.000590   \n",
       "ERR1514014                    0.001497   \n",
       "ERR1514015                    0.000243   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger  \\\n",
       "ERR1513669                                           0.000000                                       \n",
       "ERR1513670                                           0.012613                                       \n",
       "ERR1513671                                           0.001945                                       \n",
       "ERR1513672                                           0.000000                                       \n",
       "ERR1513673                                           0.000000                                       \n",
       "...                                                       ...                                       \n",
       "ERR1514011                                           0.004641                                       \n",
       "ERR1514012                                           0.001376                                       \n",
       "ERR1514013                                           0.064054                                       \n",
       "ERR1514014                                           0.003706                                       \n",
       "ERR1514015                                           0.000974                                       \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__  \\\n",
       "ERR1513669                                           0.010902                                \n",
       "ERR1513670                                           0.011909                                \n",
       "ERR1513671                                           0.014416                                \n",
       "ERR1513672                                           0.004688                                \n",
       "ERR1513673                                           0.050469                                \n",
       "...                                                       ...                                \n",
       "ERR1514011                                           0.005484                                \n",
       "ERR1514012                                           0.014763                                \n",
       "ERR1514013                                           0.014335                                \n",
       "ERR1514014                                           0.003849                                \n",
       "ERR1514015                                           0.002191                                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium  \\\n",
       "ERR1513669                                           0.009154                                                  \n",
       "ERR1513670                                           0.037076                                                  \n",
       "ERR1513671                                           0.028374                                                  \n",
       "ERR1513672                                           0.019654                                                  \n",
       "ERR1513673                                           0.001225                                                  \n",
       "...                                                       ...                                                  \n",
       "ERR1514011                                           0.041626                                                  \n",
       "ERR1514012                                           0.152258                                                  \n",
       "ERR1514013                                           0.045954                                                  \n",
       "ERR1514014                                           0.010049                                                  \n",
       "ERR1514015                                           0.009858                                                  \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;__;__  \\\n",
       "ERR1513669                                           0.000926                \n",
       "ERR1513670                                           0.071982                \n",
       "ERR1513671                                           0.005892                \n",
       "ERR1513672                                           0.029143                \n",
       "ERR1513673                                           0.014373                \n",
       "...                                                       ...                \n",
       "ERR1514011                                           0.026157                \n",
       "ERR1514012                                           0.025773                \n",
       "ERR1514013                                           0.027082                \n",
       "ERR1514014                                           0.007056                \n",
       "ERR1514015                                           0.000000                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Bacteroidetes;__;__;__;__  \\\n",
       "ERR1513669                                       0.0   \n",
       "ERR1513670                                       0.0   \n",
       "ERR1513671                                       0.0   \n",
       "ERR1513672                                       0.0   \n",
       "ERR1513673                                       0.0   \n",
       "...                                              ...   \n",
       "ERR1514011                                       0.0   \n",
       "ERR1514012                                       0.0   \n",
       "ERR1514013                                       0.0   \n",
       "ERR1514014                                       0.0   \n",
       "ERR1514015                                       0.0   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Enterobacterales;f__Enterobacteriaceae;__  \\\n",
       "ERR1513669                                           0.352875                                                   \n",
       "ERR1513670                                           0.013669                                                   \n",
       "ERR1513671                                           0.514673                                                   \n",
       "ERR1513672                                           0.287699                                                   \n",
       "ERR1513673                                           0.443900                                                   \n",
       "...                                                       ...                                                   \n",
       "ERR1514011                                           0.452679                                                   \n",
       "ERR1514012                                           0.028025                                                   \n",
       "ERR1514013                                           0.262021                                                   \n",
       "ERR1514014                                           0.270401                                                   \n",
       "ERR1514015                                           0.443106                                                   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Blautia  \\\n",
       "ERR1513669                                           0.010593                                        \n",
       "ERR1513670                                           0.026516                                        \n",
       "ERR1513671                                           0.013329                                        \n",
       "ERR1513672                                           0.020502                                        \n",
       "ERR1513673                                           0.055040                                        \n",
       "...                                                       ...                                        \n",
       "ERR1514011                                           0.007594                                        \n",
       "ERR1514012                                           0.049418                                        \n",
       "ERR1514013                                           0.008302                                        \n",
       "ERR1514014                                           0.015965                                        \n",
       "ERR1514015                                           0.003164                                        \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Dorea  \\\n",
       "ERR1513669                                           0.000000                                      \n",
       "ERR1513670                                           0.000880                                      \n",
       "ERR1513671                                           0.001316                                      \n",
       "ERR1513672                                           0.000000                                      \n",
       "ERR1513673                                           0.000000                                      \n",
       "...                                                       ...                                      \n",
       "ERR1514011                                           0.000000                                      \n",
       "ERR1514012                                           0.007381                                      \n",
       "ERR1514013                                           0.001406                                      \n",
       "ERR1514014                                           0.005630                                      \n",
       "ERR1514015                                           0.000000                                      \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;g__Bifidobacterium  \\\n",
       "ERR1513669                                           0.000000                                                              \n",
       "ERR1513670                                           0.004165                                                              \n",
       "ERR1513671                                           0.007322                                                              \n",
       "ERR1513672                                           0.011917                                                              \n",
       "ERR1513673                                           0.004382                                                              \n",
       "...                                                       ...                                                              \n",
       "ERR1514011                                           0.001266                                                              \n",
       "ERR1514012                                           0.000000                                                              \n",
       "ERR1514013                                           0.000953                                                              \n",
       "ERR1514014                                           0.001710                                                              \n",
       "ERR1514015                                           0.000000                                                              \n",
       "\n",
       "#OTU ID     ...  \\\n",
       "ERR1513669  ...   \n",
       "ERR1513670  ...   \n",
       "ERR1513671  ...   \n",
       "ERR1513672  ...   \n",
       "ERR1513673  ...   \n",
       "...         ...   \n",
       "ERR1514011  ...   \n",
       "ERR1514012  ...   \n",
       "ERR1514013  ...   \n",
       "ERR1514014  ...   \n",
       "ERR1514015  ...   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter  \\\n",
       "ERR1513669                                           0.000000                                                                    \n",
       "ERR1513670                                           0.000645                                                                    \n",
       "ERR1513671                                           0.000172                                                                    \n",
       "ERR1513672                                           0.000169                                                                    \n",
       "ERR1513673                                           0.000000                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                           0.000000                                                                    \n",
       "ERR1514012                                           0.000000                                                                    \n",
       "ERR1514013                                           0.000272                                                                    \n",
       "ERR1514014                                           0.000000                                                                    \n",
       "ERR1514015                                           0.000000                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio  \\\n",
       "ERR1513669                                                0.0                                                                    \n",
       "ERR1513670                                                0.0                                                                    \n",
       "ERR1513671                                                0.0                                                                    \n",
       "ERR1513672                                                0.0                                                                    \n",
       "ERR1513673                                                0.0                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                                0.0                                                                    \n",
       "ERR1514012                                                0.0                                                                    \n",
       "ERR1514013                                                0.0                                                                    \n",
       "ERR1514014                                                0.0                                                                    \n",
       "ERR1514015                                                0.0                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter  \\\n",
       "ERR1513669                                           0.000000                                                                    \n",
       "ERR1513670                                           0.000000                                                                    \n",
       "ERR1513671                                           0.000000                                                                    \n",
       "ERR1513672                                           0.000282                                                                    \n",
       "ERR1513673                                           0.000000                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                           0.000000                                                                    \n",
       "ERR1514012                                           0.000000                                                                    \n",
       "ERR1514013                                           0.000091                                                                    \n",
       "ERR1514014                                           0.000000                                                                    \n",
       "ERR1514015                                           0.000000                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus  \\\n",
       "ERR1513669                                           0.000000                                                          \n",
       "ERR1513670                                           0.000000                                                          \n",
       "ERR1513671                                           0.000000                                                          \n",
       "ERR1513672                                           0.000000                                                          \n",
       "ERR1513673                                           0.000000                                                          \n",
       "...                                                       ...                                                          \n",
       "ERR1514011                                           0.000000                                                          \n",
       "ERR1514012                                           0.000626                                                          \n",
       "ERR1514013                                           0.000000                                                          \n",
       "ERR1514014                                           0.000000                                                          \n",
       "ERR1514015                                           0.000000                                                          \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium  \\\n",
       "ERR1513669                                           0.012650                                                                                                 \n",
       "ERR1513670                                           0.000000                                                                                                 \n",
       "ERR1513671                                           0.000801                                                                                                 \n",
       "ERR1513672                                           0.084717                                                                                                 \n",
       "ERR1513673                                           0.006362                                                                                                 \n",
       "...                                                       ...                                                                                                 \n",
       "ERR1514011                                           0.000000                                                                                                 \n",
       "ERR1514012                                           0.000375                                                                                                 \n",
       "ERR1514013                                           0.000000                                                                                                 \n",
       "ERR1514014                                           0.000356                                                                                                 \n",
       "ERR1514015                                           0.000000                                                                                                 \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena  \\\n",
       "ERR1513669                                           0.000411                                                           \n",
       "ERR1513670                                           0.000000                                                           \n",
       "ERR1513671                                           0.000286                                                           \n",
       "ERR1513672                                           0.000226                                                           \n",
       "ERR1513673                                           0.000000                                                           \n",
       "...                                                       ...                                                           \n",
       "ERR1514011                                           0.000000                                                           \n",
       "ERR1514012                                           0.000000                                                           \n",
       "ERR1514013                                           0.000363                                                           \n",
       "ERR1514014                                           0.000000                                                           \n",
       "ERR1514015                                           0.000000                                                           \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella  \\\n",
       "ERR1513669                                                0.0                                                \n",
       "ERR1513670                                                0.0                                                \n",
       "ERR1513671                                                0.0                                                \n",
       "ERR1513672                                                0.0                                                \n",
       "ERR1513673                                                0.0                                                \n",
       "...                                                       ...                                                \n",
       "ERR1514011                                                0.0                                                \n",
       "ERR1514012                                                0.0                                                \n",
       "ERR1514013                                                0.0                                                \n",
       "ERR1514014                                                0.0                                                \n",
       "ERR1514015                                                0.0                                                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia  \\\n",
       "ERR1513669                                           0.002263                                                                     \n",
       "ERR1513670                                           0.000000                                                                     \n",
       "ERR1513671                                           0.000000                                                                     \n",
       "ERR1513672                                           0.000452                                                                     \n",
       "ERR1513673                                           0.000000                                                                     \n",
       "...                                                       ...                                                                     \n",
       "ERR1514011                                           0.000000                                                                     \n",
       "ERR1514012                                           0.000375                                                                     \n",
       "ERR1514013                                           0.000000                                                                     \n",
       "ERR1514014                                           0.000428                                                                     \n",
       "ERR1514015                                           0.000000                                                                     \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella  \\\n",
       "ERR1513669                                           0.000000                                           \n",
       "ERR1513670                                           0.000000                                           \n",
       "ERR1513671                                           0.000000                                           \n",
       "ERR1513672                                           0.000000                                           \n",
       "ERR1513673                                           0.004948                                           \n",
       "...                                                       ...                                           \n",
       "ERR1514011                                           0.000000                                           \n",
       "ERR1514012                                           0.000000                                           \n",
       "ERR1514013                                           0.000000                                           \n",
       "ERR1514014                                           0.010548                                           \n",
       "ERR1514015                                           0.000000                                           \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus  \n",
       "ERR1513669                                           0.000000                                                         \n",
       "ERR1513670                                           0.050334                                                         \n",
       "ERR1513671                                           0.000000                                                         \n",
       "ERR1513672                                           0.000000                                                         \n",
       "ERR1513673                                           0.000000                                                         \n",
       "...                                                       ...                                                         \n",
       "ERR1514011                                           0.000000                                                         \n",
       "ERR1514012                                           0.000000                                                         \n",
       "ERR1514013                                           0.000000                                                         \n",
       "ERR1514014                                           0.000000                                                         \n",
       "ERR1514015                                           0.000000                                                         \n",
       "\n",
       "[330 rows x 100 columns]"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# identify sparse rows\n",
    "num_zeros_row = rel_abund.eq(0).sum(axis=1)\n",
    "num_cols = rel_abund.shape[1]\n",
    "sparse_rows = num_zeros_row > (0.8 * num_cols)\n",
    "print(sparse_rows.sum())\n",
    "\n",
    "# remove sparse rows \n",
    "abund_filt = rel_abund[~sparse_rows]\n",
    "\n",
    "# transpose to make samples rows rather than genera (match formatting of our metadata)\n",
    "abund_filt = abund_filt.T\n",
    "abund_filt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Save the column names of genera in a list, then merge the abundance and metadata tables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
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       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>parkinson_disease</th>\n",
       "      <th>sex</th>\n",
       "      <th>age</th>\n",
       "      <th>bmi</th>\n",
       "      <th>location</th>\n",
       "      <th>anticholinergic</th>\n",
       "      <th>antibiotics_bool</th>\n",
       "      <th>anti_inflammatory_bool</th>\n",
       "      <th>comt_inhibitor</th>\n",
       "      <th>carbidopa_levodopa</th>\n",
       "      <th>...</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ERR1513669</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>79.0</td>\n",
       "      <td>28.34</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.012650</td>\n",
       "      <td>0.000411</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002263</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513670</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>70.0</td>\n",
       "      <td>33.12</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.050334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513671</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>79.0</td>\n",
       "      <td>32.28</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000172</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000801</td>\n",
       "      <td>0.000286</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>ERR1513672</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>70.0</td>\n",
       "      <td>24.44</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.000282</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.084717</td>\n",
       "      <td>0.000226</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000452</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513673</th>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>76.0</td>\n",
       "      <td>25.06</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>0.006362</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.004948</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514011</th>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>74.0</td>\n",
       "      <td>30.81</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514012</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>66.0</td>\n",
       "      <td>41.96</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000626</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514013</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>74.0</td>\n",
       "      <td>34.44</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000272</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000363</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514014</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>63.0</td>\n",
       "      <td>27.48</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000428</td>\n",
       "      <td>0.010548</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514015</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>76.0</td>\n",
       "      <td>29.18</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>330 rows × 138 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           parkinson_disease     sex   age    bmi     location  \\\n",
       "id                                                               \n",
       "ERR1513669                No  female  79.0  28.34  Atlanta, GA   \n",
       "ERR1513670                No  female  70.0  33.12  Atlanta, GA   \n",
       "ERR1513671                No  female  79.0  32.28  Atlanta, GA   \n",
       "ERR1513672                No  female  70.0  24.44  Atlanta, GA   \n",
       "ERR1513673                No    male  76.0  25.06  Atlanta, GA   \n",
       "...                      ...     ...   ...    ...          ...   \n",
       "ERR1514011                No    male  74.0  30.81  Seattle, WA   \n",
       "ERR1514012                No  female  66.0  41.96  Seattle, WA   \n",
       "ERR1514013                No  female  74.0  34.44  Seattle, WA   \n",
       "ERR1514014                No  female  63.0  27.48  Seattle, WA   \n",
       "ERR1514015                No  female  76.0  29.18  Seattle, WA   \n",
       "\n",
       "           anticholinergic antibiotics_bool anti_inflammatory_bool  \\\n",
       "id                                                                   \n",
       "ERR1513669               N               No                    Yes   \n",
       "ERR1513670               N               No                    Yes   \n",
       "ERR1513671               N               No                     No   \n",
       "ERR1513672               N               No                     No   \n",
       "ERR1513673               N               No                    Yes   \n",
       "...                    ...              ...                    ...   \n",
       "ERR1514011               N               No                     No   \n",
       "ERR1514012               N               No                    Yes   \n",
       "ERR1514013               N               No                    Yes   \n",
       "ERR1514014               N               No                     No   \n",
       "ERR1514015               N               No                     No   \n",
       "\n",
       "           comt_inhibitor carbidopa_levodopa  ...  \\\n",
       "id                                            ...   \n",
       "ERR1513669              N                  N  ...   \n",
       "ERR1513670              N                  N  ...   \n",
       "ERR1513671              N                  N  ...   \n",
       "ERR1513672              N                  N  ...   \n",
       "ERR1513673              N                  N  ...   \n",
       "...                   ...                ...  ...   \n",
       "ERR1514011              N                  N  ...   \n",
       "ERR1514012              N                  N  ...   \n",
       "ERR1514013              N                  N  ...   \n",
       "ERR1514014              N                  N  ...   \n",
       "ERR1514015              N                  N  ...   \n",
       "\n",
       "            k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter  \\\n",
       "id                                                                                                                               \n",
       "ERR1513669                                           0.000000                                                                    \n",
       "ERR1513670                                           0.000645                                                                    \n",
       "ERR1513671                                           0.000172                                                                    \n",
       "ERR1513672                                           0.000169                                                                    \n",
       "ERR1513673                                           0.000000                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                           0.000000                                                                    \n",
       "ERR1514012                                           0.000000                                                                    \n",
       "ERR1514013                                           0.000272                                                                    \n",
       "ERR1514014                                           0.000000                                                                    \n",
       "ERR1514015                                           0.000000                                                                    \n",
       "\n",
       "            k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio  \\\n",
       "id                                                                                                                               \n",
       "ERR1513669                                                0.0                                                                    \n",
       "ERR1513670                                                0.0                                                                    \n",
       "ERR1513671                                                0.0                                                                    \n",
       "ERR1513672                                                0.0                                                                    \n",
       "ERR1513673                                                0.0                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                                0.0                                                                    \n",
       "ERR1514012                                                0.0                                                                    \n",
       "ERR1514013                                                0.0                                                                    \n",
       "ERR1514014                                                0.0                                                                    \n",
       "ERR1514015                                                0.0                                                                    \n",
       "\n",
       "           k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter  \\\n",
       "id                                                                                                                              \n",
       "ERR1513669                                           0.000000                                                                   \n",
       "ERR1513670                                           0.000000                                                                   \n",
       "ERR1513671                                           0.000000                                                                   \n",
       "ERR1513672                                           0.000282                                                                   \n",
       "ERR1513673                                           0.000000                                                                   \n",
       "...                                                       ...                                                                   \n",
       "ERR1514011                                           0.000000                                                                   \n",
       "ERR1514012                                           0.000000                                                                   \n",
       "ERR1514013                                           0.000091                                                                   \n",
       "ERR1514014                                           0.000000                                                                   \n",
       "ERR1514015                                           0.000000                                                                   \n",
       "\n",
       "           k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus  \\\n",
       "id                                                                                                                    \n",
       "ERR1513669                                           0.000000                                                         \n",
       "ERR1513670                                           0.000000                                                         \n",
       "ERR1513671                                           0.000000                                                         \n",
       "ERR1513672                                           0.000000                                                         \n",
       "ERR1513673                                           0.000000                                                         \n",
       "...                                                       ...                                                         \n",
       "ERR1514011                                           0.000000                                                         \n",
       "ERR1514012                                           0.000626                                                         \n",
       "ERR1514013                                           0.000000                                                         \n",
       "ERR1514014                                           0.000000                                                         \n",
       "ERR1514015                                           0.000000                                                         \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium  \\\n",
       "id                                                                                                                                                           \n",
       "ERR1513669                                           0.012650                                                                                                \n",
       "ERR1513670                                           0.000000                                                                                                \n",
       "ERR1513671                                           0.000801                                                                                                \n",
       "ERR1513672                                           0.084717                                                                                                \n",
       "ERR1513673                                           0.006362                                                                                                \n",
       "...                                                       ...                                                                                                \n",
       "ERR1514011                                           0.000000                                                                                                \n",
       "ERR1514012                                           0.000375                                                                                                \n",
       "ERR1514013                                           0.000000                                                                                                \n",
       "ERR1514014                                           0.000356                                                                                                \n",
       "ERR1514015                                           0.000000                                                                                                \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena  \\\n",
       "id                                                                                                                     \n",
       "ERR1513669                                           0.000411                                                          \n",
       "ERR1513670                                           0.000000                                                          \n",
       "ERR1513671                                           0.000286                                                          \n",
       "ERR1513672                                           0.000226                                                          \n",
       "ERR1513673                                           0.000000                                                          \n",
       "...                                                       ...                                                          \n",
       "ERR1514011                                           0.000000                                                          \n",
       "ERR1514012                                           0.000000                                                          \n",
       "ERR1514013                                           0.000363                                                          \n",
       "ERR1514014                                           0.000000                                                          \n",
       "ERR1514015                                           0.000000                                                          \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella  \\\n",
       "id                                                                                                          \n",
       "ERR1513669                                                0.0                                               \n",
       "ERR1513670                                                0.0                                               \n",
       "ERR1513671                                                0.0                                               \n",
       "ERR1513672                                                0.0                                               \n",
       "ERR1513673                                                0.0                                               \n",
       "...                                                       ...                                               \n",
       "ERR1514011                                                0.0                                               \n",
       "ERR1514012                                                0.0                                               \n",
       "ERR1514013                                                0.0                                               \n",
       "ERR1514014                                                0.0                                               \n",
       "ERR1514015                                                0.0                                               \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia  \\\n",
       "id                                                                                                                               \n",
       "ERR1513669                                           0.002263                                                                    \n",
       "ERR1513670                                           0.000000                                                                    \n",
       "ERR1513671                                           0.000000                                                                    \n",
       "ERR1513672                                           0.000452                                                                    \n",
       "ERR1513673                                           0.000000                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                           0.000000                                                                    \n",
       "ERR1514012                                           0.000375                                                                    \n",
       "ERR1514013                                           0.000000                                                                    \n",
       "ERR1514014                                           0.000428                                                                    \n",
       "ERR1514015                                           0.000000                                                                    \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella  \\\n",
       "id                                                                                                     \n",
       "ERR1513669                                           0.000000                                          \n",
       "ERR1513670                                           0.000000                                          \n",
       "ERR1513671                                           0.000000                                          \n",
       "ERR1513672                                           0.000000                                          \n",
       "ERR1513673                                           0.004948                                          \n",
       "...                                                       ...                                          \n",
       "ERR1514011                                           0.000000                                          \n",
       "ERR1514012                                           0.000000                                          \n",
       "ERR1514013                                           0.000000                                          \n",
       "ERR1514014                                           0.010548                                          \n",
       "ERR1514015                                           0.000000                                          \n",
       "\n",
       "            k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus  \n",
       "id                                                                                                                    \n",
       "ERR1513669                                           0.000000                                                         \n",
       "ERR1513670                                           0.050334                                                         \n",
       "ERR1513671                                           0.000000                                                         \n",
       "ERR1513672                                           0.000000                                                         \n",
       "ERR1513673                                           0.000000                                                         \n",
       "...                                                       ...                                                         \n",
       "ERR1514011                                           0.000000                                                         \n",
       "ERR1514012                                           0.000000                                                         \n",
       "ERR1514013                                           0.000000                                                         \n",
       "ERR1514014                                           0.000000                                                         \n",
       "ERR1514015                                           0.000000                                                         \n",
       "\n",
       "[330 rows x 138 columns]"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "genus_columns = abund_filt.columns                                                            # get a list of abundance column names\n",
    "complete_metadata.set_index('id', inplace=True)                                               # change the index (row names) of metadata to the column 'id'\n",
    "merged_rel_abund = complete_metadata.merge(abund_filt, left_index=True, right_index=True)     # merge the two dataframes by their index (row names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 639.111x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make a histogram of Faecalibacterium split by PD status\n",
    "\n",
    "sns.displot(data=merged_rel_abund,\n",
    "            x='k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium',\n",
    "            hue='parkinson_disease')\n",
    "\n",
    "plt.xlabel('Faecalibacterium relative abundance')\n",
    "plt.ylabel('Number of samples')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### 1. Nonparametric tests"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we wanted to test whether Faecalibacterium specifically was differentially abundant in PD, we could do this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "U-statistic: 10217.5\n",
      "p-value: 0.0010104612856028604\n"
     ]
    }
   ],
   "source": [
    "# split the variable of interest into 2 lists by PD status\n",
    "faecali_pd = merged_rel_abund[merged_rel_abund['parkinson_disease'] == 'Yes']['k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium']\n",
    "faecali_hc = merged_rel_abund[merged_rel_abund['parkinson_disease'] == 'No']['k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium']\n",
    "\n",
    "u_stat, p_value = stats.mannwhitneyu(faecali_pd, faecali_hc, alternative='two-sided')\n",
    "\n",
    "print(f\"U-statistic: {u_stat}\")\n",
    "print(f\"p-value: {p_value}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We would see that yes, if we only perform one test, it appears that Faecalibacterium mean relative abundance is significantly different between PD and healthy controls (with p < 0.05)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Normalization + parametric tests:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before we can do a CLR transform, we have to add a pseudocount, because log(0) does not exist."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>#OTU ID</th>\n",
       "      <th>k__Bacteria;__;__;__;__;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;__;__</th>\n",
       "      <th>k__Bacteria;p__Bacteroidetes;__;__;__;__</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Enterobacterales;f__Enterobacteriaceae;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Blautia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Dorea</th>\n",
       "      <th>k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;g__Bifidobacterium</th>\n",
       "      <th>...</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ERR1513669</th>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.010902</td>\n",
       "      <td>0.009154</td>\n",
       "      <td>9.257402e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.352875</td>\n",
       "      <td>0.010594</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.265052e-02</td>\n",
       "      <td>4.114957e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>2.262776e-03</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513670</th>\n",
       "      <td>2.347592e-04</td>\n",
       "      <td>1.261303e-02</td>\n",
       "      <td>0.011909</td>\n",
       "      <td>0.037076</td>\n",
       "      <td>7.198180e-02</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.013669</td>\n",
       "      <td>0.026517</td>\n",
       "      <td>8.800718e-04</td>\n",
       "      <td>4.165300e-03</td>\n",
       "      <td>...</td>\n",
       "      <td>6.454127e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>5.033449e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513671</th>\n",
       "      <td>1.086994e-03</td>\n",
       "      <td>1.945069e-03</td>\n",
       "      <td>0.014416</td>\n",
       "      <td>0.028374</td>\n",
       "      <td>5.892211e-03</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.514673</td>\n",
       "      <td>0.013329</td>\n",
       "      <td>1.315814e-03</td>\n",
       "      <td>7.322336e-03</td>\n",
       "      <td>...</td>\n",
       "      <td>1.717149e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>8.009695e-04</td>\n",
       "      <td>2.861248e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513672</th>\n",
       "      <td>7.907924e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.004688</td>\n",
       "      <td>0.019654</td>\n",
       "      <td>2.914276e-02</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.287699</td>\n",
       "      <td>0.020502</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.191696e-02</td>\n",
       "      <td>...</td>\n",
       "      <td>1.695341e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>2.824902e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>8.471715e-02</td>\n",
       "      <td>2.260121e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>4.519242e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513673</th>\n",
       "      <td>3.299619e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.050469</td>\n",
       "      <td>0.001225</td>\n",
       "      <td>1.437266e-02</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.443900</td>\n",
       "      <td>0.055040</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>4.382551e-03</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>6.361723e-03</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>4.948029e-03</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514011</th>\n",
       "      <td>3.234526e-03</td>\n",
       "      <td>4.640798e-03</td>\n",
       "      <td>0.005485</td>\n",
       "      <td>0.041626</td>\n",
       "      <td>2.615676e-02</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.452679</td>\n",
       "      <td>0.007594</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.265745e-03</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514012</th>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.376304e-03</td>\n",
       "      <td>0.014763</td>\n",
       "      <td>0.152258</td>\n",
       "      <td>2.577265e-02</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.028025</td>\n",
       "      <td>0.049418</td>\n",
       "      <td>7.381559e-03</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>6.256474e-04</td>\n",
       "      <td>3.754284e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>3.754284e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514013</th>\n",
       "      <td>5.898296e-04</td>\n",
       "      <td>6.405381e-02</td>\n",
       "      <td>0.014335</td>\n",
       "      <td>0.045954</td>\n",
       "      <td>2.708230e-02</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.262022</td>\n",
       "      <td>0.008302</td>\n",
       "      <td>1.406378e-03</td>\n",
       "      <td>9.527402e-04</td>\n",
       "      <td>...</td>\n",
       "      <td>2.722829e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>9.082764e-05</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>3.630105e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514014</th>\n",
       "      <td>1.496786e-03</td>\n",
       "      <td>3.706179e-03</td>\n",
       "      <td>0.003849</td>\n",
       "      <td>0.010049</td>\n",
       "      <td>7.055905e-03</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.270401</td>\n",
       "      <td>0.015965</td>\n",
       "      <td>5.630490e-03</td>\n",
       "      <td>1.710598e-03</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>3.564538e-04</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>4.277245e-04</td>\n",
       "      <td>1.054817e-02</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514015</th>\n",
       "      <td>2.434978e-04</td>\n",
       "      <td>9.736913e-04</td>\n",
       "      <td>0.002191</td>\n",
       "      <td>0.009858</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>0.443106</td>\n",
       "      <td>0.003164</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "      <td>1.000000e-07</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>330 rows × 100 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "#OTU ID     k__Bacteria;__;__;__;__;__  \\\n",
       "ERR1513669                1.000000e-07   \n",
       "ERR1513670                2.347592e-04   \n",
       "ERR1513671                1.086994e-03   \n",
       "ERR1513672                7.907924e-04   \n",
       "ERR1513673                3.299619e-04   \n",
       "...                                ...   \n",
       "ERR1514011                3.234526e-03   \n",
       "ERR1514012                1.000000e-07   \n",
       "ERR1514013                5.898296e-04   \n",
       "ERR1514014                1.496786e-03   \n",
       "ERR1514015                2.434978e-04   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger  \\\n",
       "ERR1513669                                       1.000000e-07                                       \n",
       "ERR1513670                                       1.261303e-02                                       \n",
       "ERR1513671                                       1.945069e-03                                       \n",
       "ERR1513672                                       1.000000e-07                                       \n",
       "ERR1513673                                       1.000000e-07                                       \n",
       "...                                                       ...                                       \n",
       "ERR1514011                                       4.640798e-03                                       \n",
       "ERR1514012                                       1.376304e-03                                       \n",
       "ERR1514013                                       6.405381e-02                                       \n",
       "ERR1514014                                       3.706179e-03                                       \n",
       "ERR1514015                                       9.736913e-04                                       \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__  \\\n",
       "ERR1513669                                           0.010902                                \n",
       "ERR1513670                                           0.011909                                \n",
       "ERR1513671                                           0.014416                                \n",
       "ERR1513672                                           0.004688                                \n",
       "ERR1513673                                           0.050469                                \n",
       "...                                                       ...                                \n",
       "ERR1514011                                           0.005485                                \n",
       "ERR1514012                                           0.014763                                \n",
       "ERR1514013                                           0.014335                                \n",
       "ERR1514014                                           0.003849                                \n",
       "ERR1514015                                           0.002191                                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium  \\\n",
       "ERR1513669                                           0.009154                                                  \n",
       "ERR1513670                                           0.037076                                                  \n",
       "ERR1513671                                           0.028374                                                  \n",
       "ERR1513672                                           0.019654                                                  \n",
       "ERR1513673                                           0.001225                                                  \n",
       "...                                                       ...                                                  \n",
       "ERR1514011                                           0.041626                                                  \n",
       "ERR1514012                                           0.152258                                                  \n",
       "ERR1514013                                           0.045954                                                  \n",
       "ERR1514014                                           0.010049                                                  \n",
       "ERR1514015                                           0.009858                                                  \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;__;__  \\\n",
       "ERR1513669                                       9.257402e-04                \n",
       "ERR1513670                                       7.198180e-02                \n",
       "ERR1513671                                       5.892211e-03                \n",
       "ERR1513672                                       2.914276e-02                \n",
       "ERR1513673                                       1.437266e-02                \n",
       "...                                                       ...                \n",
       "ERR1514011                                       2.615676e-02                \n",
       "ERR1514012                                       2.577265e-02                \n",
       "ERR1514013                                       2.708230e-02                \n",
       "ERR1514014                                       7.055905e-03                \n",
       "ERR1514015                                       1.000000e-07                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Bacteroidetes;__;__;__;__  \\\n",
       "ERR1513669                              1.000000e-07   \n",
       "ERR1513670                              1.000000e-07   \n",
       "ERR1513671                              1.000000e-07   \n",
       "ERR1513672                              1.000000e-07   \n",
       "ERR1513673                              1.000000e-07   \n",
       "...                                              ...   \n",
       "ERR1514011                              1.000000e-07   \n",
       "ERR1514012                              1.000000e-07   \n",
       "ERR1514013                              1.000000e-07   \n",
       "ERR1514014                              1.000000e-07   \n",
       "ERR1514015                              1.000000e-07   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Enterobacterales;f__Enterobacteriaceae;__  \\\n",
       "ERR1513669                                           0.352875                                                   \n",
       "ERR1513670                                           0.013669                                                   \n",
       "ERR1513671                                           0.514673                                                   \n",
       "ERR1513672                                           0.287699                                                   \n",
       "ERR1513673                                           0.443900                                                   \n",
       "...                                                       ...                                                   \n",
       "ERR1514011                                           0.452679                                                   \n",
       "ERR1514012                                           0.028025                                                   \n",
       "ERR1514013                                           0.262022                                                   \n",
       "ERR1514014                                           0.270401                                                   \n",
       "ERR1514015                                           0.443106                                                   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Blautia  \\\n",
       "ERR1513669                                           0.010594                                        \n",
       "ERR1513670                                           0.026517                                        \n",
       "ERR1513671                                           0.013329                                        \n",
       "ERR1513672                                           0.020502                                        \n",
       "ERR1513673                                           0.055040                                        \n",
       "...                                                       ...                                        \n",
       "ERR1514011                                           0.007594                                        \n",
       "ERR1514012                                           0.049418                                        \n",
       "ERR1514013                                           0.008302                                        \n",
       "ERR1514014                                           0.015965                                        \n",
       "ERR1514015                                           0.003164                                        \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Dorea  \\\n",
       "ERR1513669                                       1.000000e-07                                      \n",
       "ERR1513670                                       8.800718e-04                                      \n",
       "ERR1513671                                       1.315814e-03                                      \n",
       "ERR1513672                                       1.000000e-07                                      \n",
       "ERR1513673                                       1.000000e-07                                      \n",
       "...                                                       ...                                      \n",
       "ERR1514011                                       1.000000e-07                                      \n",
       "ERR1514012                                       7.381559e-03                                      \n",
       "ERR1514013                                       1.406378e-03                                      \n",
       "ERR1514014                                       5.630490e-03                                      \n",
       "ERR1514015                                       1.000000e-07                                      \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;g__Bifidobacterium  \\\n",
       "ERR1513669                                       1.000000e-07                                                              \n",
       "ERR1513670                                       4.165300e-03                                                              \n",
       "ERR1513671                                       7.322336e-03                                                              \n",
       "ERR1513672                                       1.191696e-02                                                              \n",
       "ERR1513673                                       4.382551e-03                                                              \n",
       "...                                                       ...                                                              \n",
       "ERR1514011                                       1.265745e-03                                                              \n",
       "ERR1514012                                       1.000000e-07                                                              \n",
       "ERR1514013                                       9.527402e-04                                                              \n",
       "ERR1514014                                       1.710598e-03                                                              \n",
       "ERR1514015                                       1.000000e-07                                                              \n",
       "\n",
       "#OTU ID     ...  \\\n",
       "ERR1513669  ...   \n",
       "ERR1513670  ...   \n",
       "ERR1513671  ...   \n",
       "ERR1513672  ...   \n",
       "ERR1513673  ...   \n",
       "...         ...   \n",
       "ERR1514011  ...   \n",
       "ERR1514012  ...   \n",
       "ERR1514013  ...   \n",
       "ERR1514014  ...   \n",
       "ERR1514015  ...   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter  \\\n",
       "ERR1513669                                       1.000000e-07                                                                    \n",
       "ERR1513670                                       6.454127e-04                                                                    \n",
       "ERR1513671                                       1.717149e-04                                                                    \n",
       "ERR1513672                                       1.695341e-04                                                                    \n",
       "ERR1513673                                       1.000000e-07                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                       1.000000e-07                                                                    \n",
       "ERR1514012                                       1.000000e-07                                                                    \n",
       "ERR1514013                                       2.722829e-04                                                                    \n",
       "ERR1514014                                       1.000000e-07                                                                    \n",
       "ERR1514015                                       1.000000e-07                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio  \\\n",
       "ERR1513669                                       1.000000e-07                                                                    \n",
       "ERR1513670                                       1.000000e-07                                                                    \n",
       "ERR1513671                                       1.000000e-07                                                                    \n",
       "ERR1513672                                       1.000000e-07                                                                    \n",
       "ERR1513673                                       1.000000e-07                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                       1.000000e-07                                                                    \n",
       "ERR1514012                                       1.000000e-07                                                                    \n",
       "ERR1514013                                       1.000000e-07                                                                    \n",
       "ERR1514014                                       1.000000e-07                                                                    \n",
       "ERR1514015                                       1.000000e-07                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter  \\\n",
       "ERR1513669                                       1.000000e-07                                                                    \n",
       "ERR1513670                                       1.000000e-07                                                                    \n",
       "ERR1513671                                       1.000000e-07                                                                    \n",
       "ERR1513672                                       2.824902e-04                                                                    \n",
       "ERR1513673                                       1.000000e-07                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                       1.000000e-07                                                                    \n",
       "ERR1514012                                       1.000000e-07                                                                    \n",
       "ERR1514013                                       9.082764e-05                                                                    \n",
       "ERR1514014                                       1.000000e-07                                                                    \n",
       "ERR1514015                                       1.000000e-07                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus  \\\n",
       "ERR1513669                                       1.000000e-07                                                          \n",
       "ERR1513670                                       1.000000e-07                                                          \n",
       "ERR1513671                                       1.000000e-07                                                          \n",
       "ERR1513672                                       1.000000e-07                                                          \n",
       "ERR1513673                                       1.000000e-07                                                          \n",
       "...                                                       ...                                                          \n",
       "ERR1514011                                       1.000000e-07                                                          \n",
       "ERR1514012                                       6.256474e-04                                                          \n",
       "ERR1514013                                       1.000000e-07                                                          \n",
       "ERR1514014                                       1.000000e-07                                                          \n",
       "ERR1514015                                       1.000000e-07                                                          \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium  \\\n",
       "ERR1513669                                       1.265052e-02                                                                                                 \n",
       "ERR1513670                                       1.000000e-07                                                                                                 \n",
       "ERR1513671                                       8.009695e-04                                                                                                 \n",
       "ERR1513672                                       8.471715e-02                                                                                                 \n",
       "ERR1513673                                       6.361723e-03                                                                                                 \n",
       "...                                                       ...                                                                                                 \n",
       "ERR1514011                                       1.000000e-07                                                                                                 \n",
       "ERR1514012                                       3.754284e-04                                                                                                 \n",
       "ERR1514013                                       1.000000e-07                                                                                                 \n",
       "ERR1514014                                       3.564538e-04                                                                                                 \n",
       "ERR1514015                                       1.000000e-07                                                                                                 \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena  \\\n",
       "ERR1513669                                       4.114957e-04                                                           \n",
       "ERR1513670                                       1.000000e-07                                                           \n",
       "ERR1513671                                       2.861248e-04                                                           \n",
       "ERR1513672                                       2.260121e-04                                                           \n",
       "ERR1513673                                       1.000000e-07                                                           \n",
       "...                                                       ...                                                           \n",
       "ERR1514011                                       1.000000e-07                                                           \n",
       "ERR1514012                                       1.000000e-07                                                           \n",
       "ERR1514013                                       3.630105e-04                                                           \n",
       "ERR1514014                                       1.000000e-07                                                           \n",
       "ERR1514015                                       1.000000e-07                                                           \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella  \\\n",
       "ERR1513669                                       1.000000e-07                                                \n",
       "ERR1513670                                       1.000000e-07                                                \n",
       "ERR1513671                                       1.000000e-07                                                \n",
       "ERR1513672                                       1.000000e-07                                                \n",
       "ERR1513673                                       1.000000e-07                                                \n",
       "...                                                       ...                                                \n",
       "ERR1514011                                       1.000000e-07                                                \n",
       "ERR1514012                                       1.000000e-07                                                \n",
       "ERR1514013                                       1.000000e-07                                                \n",
       "ERR1514014                                       1.000000e-07                                                \n",
       "ERR1514015                                       1.000000e-07                                                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia  \\\n",
       "ERR1513669                                       2.262776e-03                                                                     \n",
       "ERR1513670                                       1.000000e-07                                                                     \n",
       "ERR1513671                                       1.000000e-07                                                                     \n",
       "ERR1513672                                       4.519242e-04                                                                     \n",
       "ERR1513673                                       1.000000e-07                                                                     \n",
       "...                                                       ...                                                                     \n",
       "ERR1514011                                       1.000000e-07                                                                     \n",
       "ERR1514012                                       3.754284e-04                                                                     \n",
       "ERR1514013                                       1.000000e-07                                                                     \n",
       "ERR1514014                                       4.277245e-04                                                                     \n",
       "ERR1514015                                       1.000000e-07                                                                     \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella  \\\n",
       "ERR1513669                                       1.000000e-07                                           \n",
       "ERR1513670                                       1.000000e-07                                           \n",
       "ERR1513671                                       1.000000e-07                                           \n",
       "ERR1513672                                       1.000000e-07                                           \n",
       "ERR1513673                                       4.948029e-03                                           \n",
       "...                                                       ...                                           \n",
       "ERR1514011                                       1.000000e-07                                           \n",
       "ERR1514012                                       1.000000e-07                                           \n",
       "ERR1514013                                       1.000000e-07                                           \n",
       "ERR1514014                                       1.054817e-02                                           \n",
       "ERR1514015                                       1.000000e-07                                           \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus  \n",
       "ERR1513669                                       1.000000e-07                                                         \n",
       "ERR1513670                                       5.033449e-02                                                         \n",
       "ERR1513671                                       1.000000e-07                                                         \n",
       "ERR1513672                                       1.000000e-07                                                         \n",
       "ERR1513673                                       1.000000e-07                                                         \n",
       "...                                                       ...                                                         \n",
       "ERR1514011                                       1.000000e-07                                                         \n",
       "ERR1514012                                       1.000000e-07                                                         \n",
       "ERR1514013                                       1.000000e-07                                                         \n",
       "ERR1514014                                       1.000000e-07                                                         \n",
       "ERR1514015                                       1.000000e-07                                                         \n",
       "\n",
       "[330 rows x 100 columns]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# keep track of which values are nonzero\n",
    "abund_nonzero = abund_filt > 0\n",
    "\n",
    "# add a pseudocount\n",
    "abund_filt_pseudo = abund_filt + 0.0000001\n",
    "abund_filt_pseudo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have pseudocounts, we can do the CLR transform. Here, we use the scipy.stats.mstats function gmean and compute the CLR manually."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>#OTU ID</th>\n",
       "      <th>k__Bacteria;__;__;__;__;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;__;__</th>\n",
       "      <th>k__Bacteria;p__Bacteroidetes;__;__;__;__</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Enterobacterales;f__Enterobacteriaceae;__</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Blautia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Dorea</th>\n",
       "      <th>k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;g__Bifidobacterium</th>\n",
       "      <th>...</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus</th>\n",
       "      <th>gmean</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ERR1513669</th>\n",
       "      <td>-5.528633</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>6.070661</td>\n",
       "      <td>5.895860</td>\n",
       "      <td>3.604545</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>9.547820</td>\n",
       "      <td>6.041951</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>...</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>6.219405</td>\n",
       "      <td>2.793750</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>4.498299</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>-5.528633</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513670</th>\n",
       "      <td>1.568192</td>\n",
       "      <td>5.552117</td>\n",
       "      <td>5.494686</td>\n",
       "      <td>6.630363</td>\n",
       "      <td>7.293800</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>5.632517</td>\n",
       "      <td>6.295157</td>\n",
       "      <td>2.889635</td>\n",
       "      <td>4.444175</td>\n",
       "      <td>...</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>-6.192954</td>\n",
       "      <td>6.936077</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513671</th>\n",
       "      <td>3.268054</td>\n",
       "      <td>3.849935</td>\n",
       "      <td>5.852959</td>\n",
       "      <td>6.530102</td>\n",
       "      <td>4.958269</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>9.428170</td>\n",
       "      <td>5.774569</td>\n",
       "      <td>3.459093</td>\n",
       "      <td>5.175567</td>\n",
       "      <td>...</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>2.962705</td>\n",
       "      <td>1.933310</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>-6.025703</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513672</th>\n",
       "      <td>2.307766</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>4.087444</td>\n",
       "      <td>5.520790</td>\n",
       "      <td>5.914692</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>8.204401</td>\n",
       "      <td>5.562990</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>5.020449</td>\n",
       "      <td>...</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>1.278374</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>6.981804</td>\n",
       "      <td>1.055319</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>1.748245</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>-6.667855</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513673</th>\n",
       "      <td>2.808745</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>7.838882</td>\n",
       "      <td>4.120710</td>\n",
       "      <td>6.582850</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>10.013122</td>\n",
       "      <td>7.925582</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>5.395154</td>\n",
       "      <td>...</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>5.767822</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>5.516512</td>\n",
       "      <td>-5.292817</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514011</th>\n",
       "      <td>6.325297</td>\n",
       "      <td>6.686301</td>\n",
       "      <td>6.853352</td>\n",
       "      <td>8.880134</td>\n",
       "      <td>8.415522</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>11.266598</td>\n",
       "      <td>7.178769</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>5.387075</td>\n",
       "      <td>...</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>-4.058926</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514012</th>\n",
       "      <td>-5.184546</td>\n",
       "      <td>4.345196</td>\n",
       "      <td>6.717920</td>\n",
       "      <td>9.051373</td>\n",
       "      <td>7.275108</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>7.358878</td>\n",
       "      <td>7.926116</td>\n",
       "      <td>6.024779</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>...</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>3.556826</td>\n",
       "      <td>3.046107</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>3.046107</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>-5.184546</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514013</th>\n",
       "      <td>2.587239</td>\n",
       "      <td>7.274884</td>\n",
       "      <td>5.777870</td>\n",
       "      <td>6.942794</td>\n",
       "      <td>6.414041</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>8.683587</td>\n",
       "      <td>5.231619</td>\n",
       "      <td>3.456179</td>\n",
       "      <td>3.066748</td>\n",
       "      <td>...</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>0.716369</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>2.101837</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>-6.095180</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514014</th>\n",
       "      <td>2.939177</td>\n",
       "      <td>3.845858</td>\n",
       "      <td>3.883597</td>\n",
       "      <td>4.843357</td>\n",
       "      <td>4.489721</td>\n",
       "      <td>-6.674484</td>\n",
       "      <td>8.135764</td>\n",
       "      <td>5.306240</td>\n",
       "      <td>4.264053</td>\n",
       "      <td>3.072700</td>\n",
       "      <td>...</td>\n",
       "      <td>-6.674484</td>\n",
       "      <td>-6.674484</td>\n",
       "      <td>-6.674484</td>\n",
       "      <td>1.504306</td>\n",
       "      <td>-6.674484</td>\n",
       "      <td>-6.674484</td>\n",
       "      <td>1.686581</td>\n",
       "      <td>4.891809</td>\n",
       "      <td>-6.674484</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514015</th>\n",
       "      <td>5.673979</td>\n",
       "      <td>7.059965</td>\n",
       "      <td>7.870838</td>\n",
       "      <td>9.374880</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>13.180435</td>\n",
       "      <td>8.238549</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>-2.123715</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>330 rows × 101 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "#OTU ID     k__Bacteria;__;__;__;__;__  \\\n",
       "ERR1513669                   -5.528633   \n",
       "ERR1513670                    1.568192   \n",
       "ERR1513671                    3.268054   \n",
       "ERR1513672                    2.307766   \n",
       "ERR1513673                    2.808745   \n",
       "...                                ...   \n",
       "ERR1514011                    6.325297   \n",
       "ERR1514012                   -5.184546   \n",
       "ERR1514013                    2.587239   \n",
       "ERR1514014                    2.939177   \n",
       "ERR1514015                    5.673979   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales;g__Gemmiger  \\\n",
       "ERR1513669                                          -5.528633                                       \n",
       "ERR1513670                                           5.552117                                       \n",
       "ERR1513671                                           3.849935                                       \n",
       "ERR1513672                                          -6.667855                                       \n",
       "ERR1513673                                          -5.292817                                       \n",
       "...                                                       ...                                       \n",
       "ERR1514011                                           6.686301                                       \n",
       "ERR1514012                                           4.345196                                       \n",
       "ERR1514013                                           7.274884                                       \n",
       "ERR1514014                                           3.845858                                       \n",
       "ERR1514015                                           7.059965                                       \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;__  \\\n",
       "ERR1513669                                           6.070661                                \n",
       "ERR1513670                                           5.494686                                \n",
       "ERR1513671                                           5.852959                                \n",
       "ERR1513672                                           4.087444                                \n",
       "ERR1513673                                           7.838882                                \n",
       "...                                                       ...                                \n",
       "ERR1514011                                           6.853352                                \n",
       "ERR1514012                                           6.717920                                \n",
       "ERR1514013                                           5.777870                                \n",
       "ERR1514014                                           3.883597                                \n",
       "ERR1514015                                           7.870838                                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium  \\\n",
       "ERR1513669                                           5.895860                                                  \n",
       "ERR1513670                                           6.630363                                                  \n",
       "ERR1513671                                           6.530102                                                  \n",
       "ERR1513672                                           5.520790                                                  \n",
       "ERR1513673                                           4.120710                                                  \n",
       "...                                                       ...                                                  \n",
       "ERR1514011                                           8.880134                                                  \n",
       "ERR1514012                                           9.051373                                                  \n",
       "ERR1514013                                           6.942794                                                  \n",
       "ERR1514014                                           4.843357                                                  \n",
       "ERR1514015                                           9.374880                                                  \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;__;__  \\\n",
       "ERR1513669                                           3.604545                \n",
       "ERR1513670                                           7.293800                \n",
       "ERR1513671                                           4.958269                \n",
       "ERR1513672                                           5.914692                \n",
       "ERR1513673                                           6.582850                \n",
       "...                                                       ...                \n",
       "ERR1514011                                           8.415522                \n",
       "ERR1514012                                           7.275108                \n",
       "ERR1514013                                           6.414041                \n",
       "ERR1514014                                           4.489721                \n",
       "ERR1514015                                          -2.123715                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Bacteroidetes;__;__;__;__  \\\n",
       "ERR1513669                                 -5.528633   \n",
       "ERR1513670                                 -6.192954   \n",
       "ERR1513671                                 -6.025703   \n",
       "ERR1513672                                 -6.667855   \n",
       "ERR1513673                                 -5.292817   \n",
       "...                                              ...   \n",
       "ERR1514011                                 -4.058926   \n",
       "ERR1514012                                 -5.184546   \n",
       "ERR1514013                                 -6.095180   \n",
       "ERR1514014                                 -6.674484   \n",
       "ERR1514015                                 -2.123715   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Enterobacterales;f__Enterobacteriaceae;__  \\\n",
       "ERR1513669                                           9.547820                                                   \n",
       "ERR1513670                                           5.632517                                                   \n",
       "ERR1513671                                           9.428170                                                   \n",
       "ERR1513672                                           8.204401                                                   \n",
       "ERR1513673                                          10.013122                                                   \n",
       "...                                                       ...                                                   \n",
       "ERR1514011                                          11.266598                                                   \n",
       "ERR1514012                                           7.358878                                                   \n",
       "ERR1514013                                           8.683587                                                   \n",
       "ERR1514014                                           8.135764                                                   \n",
       "ERR1514015                                          13.180435                                                   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Blautia  \\\n",
       "ERR1513669                                           6.041951                                        \n",
       "ERR1513670                                           6.295157                                        \n",
       "ERR1513671                                           5.774569                                        \n",
       "ERR1513672                                           5.562990                                        \n",
       "ERR1513673                                           7.925582                                        \n",
       "...                                                       ...                                        \n",
       "ERR1514011                                           7.178769                                        \n",
       "ERR1514012                                           7.926116                                        \n",
       "ERR1514013                                           5.231619                                        \n",
       "ERR1514014                                           5.306240                                        \n",
       "ERR1514015                                           8.238549                                        \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Dorea  \\\n",
       "ERR1513669                                          -5.528633                                      \n",
       "ERR1513670                                           2.889635                                      \n",
       "ERR1513671                                           3.459093                                      \n",
       "ERR1513672                                          -6.667855                                      \n",
       "ERR1513673                                          -5.292817                                      \n",
       "...                                                       ...                                      \n",
       "ERR1514011                                          -4.058926                                      \n",
       "ERR1514012                                           6.024779                                      \n",
       "ERR1514013                                           3.456179                                      \n",
       "ERR1514014                                           4.264053                                      \n",
       "ERR1514015                                          -2.123715                                      \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Actinobacteria;c__Actinomycetia;o__Bifidobacteriales;f__Bifidobacteriaceae;g__Bifidobacterium  \\\n",
       "ERR1513669                                          -5.528633                                                              \n",
       "ERR1513670                                           4.444175                                                              \n",
       "ERR1513671                                           5.175567                                                              \n",
       "ERR1513672                                           5.020449                                                              \n",
       "ERR1513673                                           5.395154                                                              \n",
       "...                                                       ...                                                              \n",
       "ERR1514011                                           5.387075                                                              \n",
       "ERR1514012                                          -5.184546                                                              \n",
       "ERR1514013                                           3.066748                                                              \n",
       "ERR1514014                                           3.072700                                                              \n",
       "ERR1514015                                          -2.123715                                                              \n",
       "\n",
       "#OTU ID     ...  \\\n",
       "ERR1513669  ...   \n",
       "ERR1513670  ...   \n",
       "ERR1513671  ...   \n",
       "ERR1513672  ...   \n",
       "ERR1513673  ...   \n",
       "...         ...   \n",
       "ERR1514011  ...   \n",
       "ERR1514012  ...   \n",
       "ERR1514013  ...   \n",
       "ERR1514014  ...   \n",
       "ERR1514015  ...   \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio  \\\n",
       "ERR1513669                                          -5.528633                                                                    \n",
       "ERR1513670                                          -6.192954                                                                    \n",
       "ERR1513671                                          -6.025703                                                                    \n",
       "ERR1513672                                          -6.667855                                                                    \n",
       "ERR1513673                                          -5.292817                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                          -4.058926                                                                    \n",
       "ERR1514012                                          -5.184546                                                                    \n",
       "ERR1514013                                          -6.095180                                                                    \n",
       "ERR1514014                                          -6.674484                                                                    \n",
       "ERR1514015                                          -2.123715                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter  \\\n",
       "ERR1513669                                          -5.528633                                                                    \n",
       "ERR1513670                                          -6.192954                                                                    \n",
       "ERR1513671                                          -6.025703                                                                    \n",
       "ERR1513672                                           1.278374                                                                    \n",
       "ERR1513673                                          -5.292817                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                          -4.058926                                                                    \n",
       "ERR1514012                                          -5.184546                                                                    \n",
       "ERR1514013                                           0.716369                                                                    \n",
       "ERR1514014                                          -6.674484                                                                    \n",
       "ERR1514015                                          -2.123715                                                                    \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus  \\\n",
       "ERR1513669                                          -5.528633                                                          \n",
       "ERR1513670                                          -6.192954                                                          \n",
       "ERR1513671                                          -6.025703                                                          \n",
       "ERR1513672                                          -6.667855                                                          \n",
       "ERR1513673                                          -5.292817                                                          \n",
       "...                                                       ...                                                          \n",
       "ERR1514011                                          -4.058926                                                          \n",
       "ERR1514012                                           3.556826                                                          \n",
       "ERR1514013                                          -6.095180                                                          \n",
       "ERR1514014                                          -6.674484                                                          \n",
       "ERR1514015                                          -2.123715                                                          \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium  \\\n",
       "ERR1513669                                           6.219405                                                                                                 \n",
       "ERR1513670                                          -6.192954                                                                                                 \n",
       "ERR1513671                                           2.962705                                                                                                 \n",
       "ERR1513672                                           6.981804                                                                                                 \n",
       "ERR1513673                                           5.767822                                                                                                 \n",
       "...                                                       ...                                                                                                 \n",
       "ERR1514011                                          -4.058926                                                                                                 \n",
       "ERR1514012                                           3.046107                                                                                                 \n",
       "ERR1514013                                          -6.095180                                                                                                 \n",
       "ERR1514014                                           1.504306                                                                                                 \n",
       "ERR1514015                                          -2.123715                                                                                                 \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena  \\\n",
       "ERR1513669                                           2.793750                                                           \n",
       "ERR1513670                                          -6.192954                                                           \n",
       "ERR1513671                                           1.933310                                                           \n",
       "ERR1513672                                           1.055319                                                           \n",
       "ERR1513673                                          -5.292817                                                           \n",
       "...                                                       ...                                                           \n",
       "ERR1514011                                          -4.058926                                                           \n",
       "ERR1514012                                          -5.184546                                                           \n",
       "ERR1514013                                           2.101837                                                           \n",
       "ERR1514014                                          -6.674484                                                           \n",
       "ERR1514015                                          -2.123715                                                           \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella  \\\n",
       "ERR1513669                                          -5.528633                                                \n",
       "ERR1513670                                          -6.192954                                                \n",
       "ERR1513671                                          -6.025703                                                \n",
       "ERR1513672                                          -6.667855                                                \n",
       "ERR1513673                                          -5.292817                                                \n",
       "...                                                       ...                                                \n",
       "ERR1514011                                          -4.058926                                                \n",
       "ERR1514012                                          -5.184546                                                \n",
       "ERR1514013                                          -6.095180                                                \n",
       "ERR1514014                                          -6.674484                                                \n",
       "ERR1514015                                          -2.123715                                                \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia  \\\n",
       "ERR1513669                                           4.498299                                                                     \n",
       "ERR1513670                                          -6.192954                                                                     \n",
       "ERR1513671                                          -6.025703                                                                     \n",
       "ERR1513672                                           1.748245                                                                     \n",
       "ERR1513673                                          -5.292817                                                                     \n",
       "...                                                       ...                                                                     \n",
       "ERR1514011                                          -4.058926                                                                     \n",
       "ERR1514012                                           3.046107                                                                     \n",
       "ERR1514013                                          -6.095180                                                                     \n",
       "ERR1514014                                           1.686581                                                                     \n",
       "ERR1514015                                          -2.123715                                                                     \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella  \\\n",
       "ERR1513669                                          -5.528633                                           \n",
       "ERR1513670                                          -6.192954                                           \n",
       "ERR1513671                                          -6.025703                                           \n",
       "ERR1513672                                          -6.667855                                           \n",
       "ERR1513673                                           5.516512                                           \n",
       "...                                                       ...                                           \n",
       "ERR1514011                                          -4.058926                                           \n",
       "ERR1514012                                          -5.184546                                           \n",
       "ERR1514013                                          -6.095180                                           \n",
       "ERR1514014                                           4.891809                                           \n",
       "ERR1514015                                          -2.123715                                           \n",
       "\n",
       "#OTU ID     k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus  \\\n",
       "ERR1513669                                          -5.528633                                                          \n",
       "ERR1513670                                           6.936077                                                          \n",
       "ERR1513671                                          -6.025703                                                          \n",
       "ERR1513672                                          -6.667855                                                          \n",
       "ERR1513673                                          -5.292817                                                          \n",
       "...                                                       ...                                                          \n",
       "ERR1514011                                          -4.058926                                                          \n",
       "ERR1514012                                          -5.184546                                                          \n",
       "ERR1514013                                          -6.095180                                                          \n",
       "ERR1514014                                          -6.674484                                                          \n",
       "ERR1514015                                          -2.123715                                                          \n",
       "\n",
       "#OTU ID     gmean  \n",
       "ERR1513669    0.0  \n",
       "ERR1513670    0.0  \n",
       "ERR1513671    0.0  \n",
       "ERR1513672    0.0  \n",
       "ERR1513673    0.0  \n",
       "...           ...  \n",
       "ERR1514011    0.0  \n",
       "ERR1514012    0.0  \n",
       "ERR1514013    0.0  \n",
       "ERR1514014    0.0  \n",
       "ERR1514015    0.0  \n",
       "\n",
       "[330 rows x 101 columns]"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# make a new col for gmean\n",
    "abund_clr = abund_filt_pseudo.copy()\n",
    "abund_clr['gmean'] = abund_clr.apply(stats.mstats.gmean, axis=1, nan_policy='omit')\n",
    "\n",
    "# actual CLR\n",
    "abund_clr = np.log(abund_clr.divide(abund_clr['gmean'], axis=0))\n",
    "\n",
    "# check gmean to make sure CLR went correctly\n",
    "# gmean should be all zeros (because log(x)/log(x) = log(x/x) = log(1) = 0)\n",
    "abund_clr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "# drop gmean\n",
    "abund_clr.drop(columns='gmean', inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's see what the transformation did to our data. We can make the same plot as before"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.displot(data=abund_clr,\n",
    "            x='k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium')\n",
    "plt.xlabel('Faecalibacterium CLR')\n",
    "plt.ylabel('Number of samples')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we have a bimodal distribution due to the presence of zeros. At this point, the most conservative option is to remove these values, because we cannot be sure if they are true zeros. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "# drop the samples that were zero (make NA so they will not be plotted)\n",
    "abund_clr_nonzero = abund_clr[abund_nonzero]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# now try plotting again\n",
    "sns.displot(data=abund_clr_nonzero,\n",
    "            x='k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium')\n",
    "plt.xlabel('Faecalibacterium CLR')\n",
    "plt.ylabel('Number of samples')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now our data is _normal-ish_ (though still a bit skewed) but probably safe to use with parametric tests! This means we are ready to merge it back to the metadata."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>parkinson_disease</th>\n",
       "      <th>sex</th>\n",
       "      <th>age</th>\n",
       "      <th>bmi</th>\n",
       "      <th>location</th>\n",
       "      <th>anticholinergic</th>\n",
       "      <th>antibiotics_bool</th>\n",
       "      <th>anti_inflammatory_bool</th>\n",
       "      <th>comt_inhibitor</th>\n",
       "      <th>carbidopa_levodopa</th>\n",
       "      <th>...</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter</th>\n",
       "      <th>k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella</th>\n",
       "      <th>k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ERR1513669</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>79.0</td>\n",
       "      <td>28.34</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.219405</td>\n",
       "      <td>2.793750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.498299</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513670</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>70.0</td>\n",
       "      <td>33.12</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>2.579521</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.936077</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513671</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>79.0</td>\n",
       "      <td>32.28</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>1.422718</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.962705</td>\n",
       "      <td>1.933310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513672</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>70.0</td>\n",
       "      <td>24.44</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>0.767784</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.278374</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.981804</td>\n",
       "      <td>1.055319</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.748245</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1513673</th>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>76.0</td>\n",
       "      <td>25.06</td>\n",
       "      <td>Atlanta, GA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.767822</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.516512</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514011</th>\n",
       "      <td>No</td>\n",
       "      <td>male</td>\n",
       "      <td>74.0</td>\n",
       "      <td>30.81</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514012</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>66.0</td>\n",
       "      <td>41.96</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.556826</td>\n",
       "      <td>3.046107</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.046107</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514013</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>74.0</td>\n",
       "      <td>34.44</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>1.814247</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.716369</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.101837</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514014</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>63.0</td>\n",
       "      <td>27.48</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.504306</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.686581</td>\n",
       "      <td>4.891809</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ERR1514015</th>\n",
       "      <td>No</td>\n",
       "      <td>female</td>\n",
       "      <td>76.0</td>\n",
       "      <td>29.18</td>\n",
       "      <td>Seattle, WA</td>\n",
       "      <td>N</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>330 rows × 138 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           parkinson_disease     sex   age    bmi     location  \\\n",
       "id                                                               \n",
       "ERR1513669                No  female  79.0  28.34  Atlanta, GA   \n",
       "ERR1513670                No  female  70.0  33.12  Atlanta, GA   \n",
       "ERR1513671                No  female  79.0  32.28  Atlanta, GA   \n",
       "ERR1513672                No  female  70.0  24.44  Atlanta, GA   \n",
       "ERR1513673                No    male  76.0  25.06  Atlanta, GA   \n",
       "...                      ...     ...   ...    ...          ...   \n",
       "ERR1514011                No    male  74.0  30.81  Seattle, WA   \n",
       "ERR1514012                No  female  66.0  41.96  Seattle, WA   \n",
       "ERR1514013                No  female  74.0  34.44  Seattle, WA   \n",
       "ERR1514014                No  female  63.0  27.48  Seattle, WA   \n",
       "ERR1514015                No  female  76.0  29.18  Seattle, WA   \n",
       "\n",
       "           anticholinergic antibiotics_bool anti_inflammatory_bool  \\\n",
       "id                                                                   \n",
       "ERR1513669               N               No                    Yes   \n",
       "ERR1513670               N               No                    Yes   \n",
       "ERR1513671               N               No                     No   \n",
       "ERR1513672               N               No                     No   \n",
       "ERR1513673               N               No                    Yes   \n",
       "...                    ...              ...                    ...   \n",
       "ERR1514011               N               No                     No   \n",
       "ERR1514012               N               No                    Yes   \n",
       "ERR1514013               N               No                    Yes   \n",
       "ERR1514014               N               No                     No   \n",
       "ERR1514015               N               No                     No   \n",
       "\n",
       "           comt_inhibitor carbidopa_levodopa  ...  \\\n",
       "id                                            ...   \n",
       "ERR1513669              N                  N  ...   \n",
       "ERR1513670              N                  N  ...   \n",
       "ERR1513671              N                  N  ...   \n",
       "ERR1513672              N                  N  ...   \n",
       "ERR1513673              N                  N  ...   \n",
       "...                   ...                ...  ...   \n",
       "ERR1514011              N                  N  ...   \n",
       "ERR1514012              N                  N  ...   \n",
       "ERR1514013              N                  N  ...   \n",
       "ERR1514014              N                  N  ...   \n",
       "ERR1514015              N                  N  ...   \n",
       "\n",
       "            k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Ihubacter  \\\n",
       "id                                                                                                                               \n",
       "ERR1513669                                                NaN                                                                    \n",
       "ERR1513670                                           2.579521                                                                    \n",
       "ERR1513671                                           1.422718                                                                    \n",
       "ERR1513672                                           0.767784                                                                    \n",
       "ERR1513673                                                NaN                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                                NaN                                                                    \n",
       "ERR1514012                                                NaN                                                                    \n",
       "ERR1514013                                           1.814247                                                                    \n",
       "ERR1514014                                                NaN                                                                    \n",
       "ERR1514015                                                NaN                                                                    \n",
       "\n",
       "            k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfovibrionales;f__Desulfovibrionaceae;g__Desulfovibrio  \\\n",
       "id                                                                                                                               \n",
       "ERR1513669                                                NaN                                                                    \n",
       "ERR1513670                                                NaN                                                                    \n",
       "ERR1513671                                                NaN                                                                    \n",
       "ERR1513672                                                NaN                                                                    \n",
       "ERR1513673                                                NaN                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                                NaN                                                                    \n",
       "ERR1514012                                                NaN                                                                    \n",
       "ERR1514013                                                NaN                                                                    \n",
       "ERR1514014                                                NaN                                                                    \n",
       "ERR1514015                                                NaN                                                                    \n",
       "\n",
       "           k__Bacteria;p__Proteobacteria;c__Epsilonproteobacteria;o__Campylobacterales;f__Campylobacteraceae;g__Campylobacter  \\\n",
       "id                                                                                                                              \n",
       "ERR1513669                                                NaN                                                                   \n",
       "ERR1513670                                                NaN                                                                   \n",
       "ERR1513671                                                NaN                                                                   \n",
       "ERR1513672                                           1.278374                                                                   \n",
       "ERR1513673                                                NaN                                                                   \n",
       "...                                                       ...                                                                   \n",
       "ERR1514011                                                NaN                                                                   \n",
       "ERR1514012                                                NaN                                                                   \n",
       "ERR1514013                                           0.716369                                                                   \n",
       "ERR1514014                                                NaN                                                                   \n",
       "ERR1514015                                                NaN                                                                   \n",
       "\n",
       "           k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pasteurellales;f__Pasteurellaceae;g__Haemophilus  \\\n",
       "id                                                                                                                    \n",
       "ERR1513669                                                NaN                                                         \n",
       "ERR1513670                                                NaN                                                         \n",
       "ERR1513671                                                NaN                                                         \n",
       "ERR1513672                                                NaN                                                         \n",
       "ERR1513673                                                NaN                                                         \n",
       "...                                                       ...                                                         \n",
       "ERR1514011                                                NaN                                                         \n",
       "ERR1514012                                           3.556826                                                         \n",
       "ERR1514013                                                NaN                                                         \n",
       "ERR1514014                                                NaN                                                         \n",
       "ERR1514015                                                NaN                                                         \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Clostridia;o__Thermoanaerobacterales;f__Thermoanaerobacterales Family III. Incertae Sedis;g__Thermoanaerobacterium  \\\n",
       "id                                                                                                                                                           \n",
       "ERR1513669                                           6.219405                                                                                                \n",
       "ERR1513670                                                NaN                                                                                                \n",
       "ERR1513671                                           2.962705                                                                                                \n",
       "ERR1513672                                           6.981804                                                                                                \n",
       "ERR1513673                                           5.767822                                                                                                \n",
       "...                                                       ...                                                                                                \n",
       "ERR1514011                                                NaN                                                                                                \n",
       "ERR1514012                                           3.046107                                                                                                \n",
       "ERR1514013                                                NaN                                                                                                \n",
       "ERR1514014                                           1.504306                                                                                                \n",
       "ERR1514015                                                NaN                                                                                                \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Erysipelotrichia;o__Erysipelotrichales;f__Erysipelotrichaceae;g__Longicatena  \\\n",
       "id                                                                                                                     \n",
       "ERR1513669                                           2.793750                                                          \n",
       "ERR1513670                                                NaN                                                          \n",
       "ERR1513671                                           1.933310                                                          \n",
       "ERR1513672                                           1.055319                                                          \n",
       "ERR1513673                                                NaN                                                          \n",
       "...                                                       ...                                                          \n",
       "ERR1514011                                                NaN                                                          \n",
       "ERR1514012                                                NaN                                                          \n",
       "ERR1514013                                           2.101837                                                          \n",
       "ERR1514014                                                NaN                                                          \n",
       "ERR1514015                                                NaN                                                          \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Negativicutes;o__Veillonellales;f__Veillonellaceae;g__Veillonella  \\\n",
       "id                                                                                                          \n",
       "ERR1513669                                                NaN                                               \n",
       "ERR1513670                                                NaN                                               \n",
       "ERR1513671                                                NaN                                               \n",
       "ERR1513672                                                NaN                                               \n",
       "ERR1513673                                                NaN                                               \n",
       "...                                                       ...                                               \n",
       "ERR1514011                                                NaN                                               \n",
       "ERR1514012                                                NaN                                               \n",
       "ERR1514013                                                NaN                                               \n",
       "ERR1514014                                                NaN                                               \n",
       "ERR1514015                                                NaN                                               \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Eubacteriales Family XIII. Incertae Sedis;g__Emergencia  \\\n",
       "id                                                                                                                               \n",
       "ERR1513669                                           4.498299                                                                    \n",
       "ERR1513670                                                NaN                                                                    \n",
       "ERR1513671                                                NaN                                                                    \n",
       "ERR1513672                                           1.748245                                                                    \n",
       "ERR1513673                                                NaN                                                                    \n",
       "...                                                       ...                                                                    \n",
       "ERR1514011                                                NaN                                                                    \n",
       "ERR1514012                                           3.046107                                                                    \n",
       "ERR1514013                                                NaN                                                                    \n",
       "ERR1514014                                           1.686581                                                                    \n",
       "ERR1514015                                                NaN                                                                    \n",
       "\n",
       "           k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Lachnospiraceae;g__Tyzzerella  \\\n",
       "id                                                                                                     \n",
       "ERR1513669                                                NaN                                          \n",
       "ERR1513670                                                NaN                                          \n",
       "ERR1513671                                                NaN                                          \n",
       "ERR1513672                                                NaN                                          \n",
       "ERR1513673                                           5.516512                                          \n",
       "...                                                       ...                                          \n",
       "ERR1514011                                                NaN                                          \n",
       "ERR1514012                                                NaN                                          \n",
       "ERR1514013                                                NaN                                          \n",
       "ERR1514014                                           4.891809                                          \n",
       "ERR1514015                                                NaN                                          \n",
       "\n",
       "            k__Bacteria;p__Firmicutes;c__Negativicutes;o__Acidaminococcales;f__Acidaminococcaceae;g__Acidaminococcus  \n",
       "id                                                                                                                    \n",
       "ERR1513669                                                NaN                                                         \n",
       "ERR1513670                                           6.936077                                                         \n",
       "ERR1513671                                                NaN                                                         \n",
       "ERR1513672                                                NaN                                                         \n",
       "ERR1513673                                                NaN                                                         \n",
       "...                                                       ...                                                         \n",
       "ERR1514011                                                NaN                                                         \n",
       "ERR1514012                                                NaN                                                         \n",
       "ERR1514013                                                NaN                                                         \n",
       "ERR1514014                                                NaN                                                         \n",
       "ERR1514015                                                NaN                                                         \n",
       "\n",
       "[330 rows x 138 columns]"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "merged_clr = complete_metadata.merge(abund_clr_nonzero, left_index=True, right_index=True)     # merge the two dataframes by their index (row names)\n",
    "merged_clr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The code to perform a t-test is very similar to that of a Mann-Whitney U-test, but we need to also remove NAs.\n",
    "\n",
    "We can accomplish this by adding `dropna()` to the end of our group assignment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-stat: -3.6285870905992974\n",
      "p-value: 0.0003425401019522573\n"
     ]
    }
   ],
   "source": [
    "# how we would do one t-test\n",
    "faecali_clr_pd = merged_clr[merged_clr['parkinson_disease'] == 'Yes']['k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium'].dropna()\n",
    "faecali_clr_hc = merged_clr[merged_clr['parkinson_disease'] == 'No']['k__Bacteria;p__Firmicutes;c__Clostridia;o__Eubacteriales;f__Oscillospiraceae;g__Faecalibacterium'].dropna()\n",
    "\n",
    "t_stat, p_val = stats.ttest_ind(faecali_clr_pd, faecali_clr_hc, equal_var=False)\n",
    "\n",
    "print(f\"T-stat: {t_stat}\")\n",
    "print(f\"p-value: {p_val}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In people with _measurable_ amounts of Faecalibacterium, people with PD have significantly lower Faecalibacterium than people without. \n",
    "\n",
    "Notice how in trimming our data, we are now testing a different question."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Multiple testing and FDR correction:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this much interesting data, it would be pretty tedious to test variables one-by-one. This is why we made a list `genus_column` earlier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create an empty list to store test results\n",
    "t_test_results = []\n",
    "\n",
    "# Loop through each genus column and perform the t-test\n",
    "for genus in genus_columns:\n",
    "    # Separate the data for Parkinson's disease 'Yes' and 'No' groups\n",
    "    pd_group = merged_clr[merged_clr['parkinson_disease'] == 'Yes'][genus].dropna()\n",
    "    hc_group = merged_clr[merged_clr['parkinson_disease'] == 'No'][genus].dropna()\n",
    "    \n",
    "    # Perform the t-test\n",
    "    if len(pd_group) > 0 and len(hc_group) > 0:  # Only perform test if there are values in both groups\n",
    "        t_stat, p_val = stats.ttest_ind(pd_group, hc_group, equal_var=False)\n",
    "        \n",
    "        # Store the results\n",
    "        t_test_results.append({\n",
    "            'genus': genus,\n",
    "            't_stat': t_stat,\n",
    "            'p_val': p_val,\n",
    "            'n_pd': len(pd_group),\n",
    "            'n_hc': len(hc_group)\n",
    "        })\n",
    "\n",
    "# Convert the results into a DataFrame\n",
    "ttest_results_df = pd.DataFrame(t_test_results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>genus</th>\n",
       "      <th>t_stat</th>\n",
       "      <th>p_val</th>\n",
       "      <th>n_pd</th>\n",
       "      <th>n_hc</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>k__Bacteria;__;__;__;__;__</td>\n",
       "      <td>-0.607438</td>\n",
       "      <td>0.544101</td>\n",
       "      <td>176</td>\n",
       "      <td>113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-1.833111</td>\n",
       "      <td>0.068612</td>\n",
       "      <td>118</td>\n",
       "      <td>83</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.709539</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>189</td>\n",
       "      <td>128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-3.628587</td>\n",
       "      <td>0.000343</td>\n",
       "      <td>173</td>\n",
       "      <td>119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-2.421118</td>\n",
       "      <td>0.016132</td>\n",
       "      <td>196</td>\n",
       "      <td>124</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Erysipelotrichia;...</td>\n",
       "      <td>0.390582</td>\n",
       "      <td>0.697999</td>\n",
       "      <td>60</td>\n",
       "      <td>25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Negativicutes;o__...</td>\n",
       "      <td>0.497952</td>\n",
       "      <td>0.619749</td>\n",
       "      <td>53</td>\n",
       "      <td>38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>0.593286</td>\n",
       "      <td>0.554399</td>\n",
       "      <td>79</td>\n",
       "      <td>43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>0.405266</td>\n",
       "      <td>0.686369</td>\n",
       "      <td>66</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Negativicutes;o__...</td>\n",
       "      <td>0.688999</td>\n",
       "      <td>0.494832</td>\n",
       "      <td>51</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>100 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                genus    t_stat     p_val  \\\n",
       "0                          k__Bacteria;__;__;__;__;__ -0.607438  0.544101   \n",
       "1   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -1.833111  0.068612   \n",
       "2   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.709539  0.000004   \n",
       "3   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -3.628587  0.000343   \n",
       "4   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -2.421118  0.016132   \n",
       "..                                                ...       ...       ...   \n",
       "95  k__Bacteria;p__Firmicutes;c__Erysipelotrichia;...  0.390582  0.697999   \n",
       "96  k__Bacteria;p__Firmicutes;c__Negativicutes;o__...  0.497952  0.619749   \n",
       "97  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...  0.593286  0.554399   \n",
       "98  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...  0.405266  0.686369   \n",
       "99  k__Bacteria;p__Firmicutes;c__Negativicutes;o__...  0.688999  0.494832   \n",
       "\n",
       "    n_pd  n_hc  \n",
       "0    176   113  \n",
       "1    118    83  \n",
       "2    189   128  \n",
       "3    173   119  \n",
       "4    196   124  \n",
       "..   ...   ...  \n",
       "95    60    25  \n",
       "96    53    38  \n",
       "97    79    43  \n",
       "98    66    39  \n",
       "99    51    24  \n",
       "\n",
       "[100 rows x 5 columns]"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# take a look at our results dataframe\n",
    "ttest_results_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What does our p-value distribution look like?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(data=ttest_results_df, x='p_val', bins=13)\n",
    "plt.xlabel('p-value')\n",
    "plt.ylabel('number of t-tests')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks ok? We expect a left skew given both true and false positives."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we have a list of p-values, we can easily do FDR correction. We will use a Benjamini-Hochberg (BH) correction, which is less conservative than Bonferroni. The BH corrected p-value, q, is calculated as a function of the entire list of q-values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.stats.multitest import multipletests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>genus</th>\n",
       "      <th>t_stat</th>\n",
       "      <th>p_val</th>\n",
       "      <th>n_pd</th>\n",
       "      <th>n_hc</th>\n",
       "      <th>q_val</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.845231</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>133</td>\n",
       "      <td>106</td>\n",
       "      <td>0.000117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.858808</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>125</td>\n",
       "      <td>96</td>\n",
       "      <td>0.000117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.709539</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>189</td>\n",
       "      <td>128</td>\n",
       "      <td>0.000132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.374117</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>151</td>\n",
       "      <td>116</td>\n",
       "      <td>0.000468</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.286936</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>189</td>\n",
       "      <td>130</td>\n",
       "      <td>0.000510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-0.108314</td>\n",
       "      <td>0.913932</td>\n",
       "      <td>81</td>\n",
       "      <td>59</td>\n",
       "      <td>0.953956</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Tissierellia;o__T...</td>\n",
       "      <td>0.068585</td>\n",
       "      <td>0.945504</td>\n",
       "      <td>89</td>\n",
       "      <td>32</td>\n",
       "      <td>0.974746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>k__Bacteria;p__Actinobacteria;c__Actinomycetia...</td>\n",
       "      <td>-0.035454</td>\n",
       "      <td>0.971861</td>\n",
       "      <td>79</td>\n",
       "      <td>28</td>\n",
       "      <td>0.991695</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-0.006998</td>\n",
       "      <td>0.994425</td>\n",
       "      <td>104</td>\n",
       "      <td>75</td>\n",
       "      <td>0.994425</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>k__Bacteria;p__Proteobacteria;c__Epsilonproteo...</td>\n",
       "      <td>-0.017128</td>\n",
       "      <td>0.986392</td>\n",
       "      <td>61</td>\n",
       "      <td>24</td>\n",
       "      <td>0.994425</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>100 rows × 6 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                genus    t_stat     p_val  \\\n",
       "33  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.845231  0.000002   \n",
       "35  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.858808  0.000002   \n",
       "2   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.709539  0.000004   \n",
       "25  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.374117  0.000019   \n",
       "7   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.286936  0.000025   \n",
       "..                                                ...       ...       ...   \n",
       "56  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -0.108314  0.913932   \n",
       "75  k__Bacteria;p__Firmicutes;c__Tissierellia;o__T...  0.068585  0.945504   \n",
       "28  k__Bacteria;p__Actinobacteria;c__Actinomycetia... -0.035454  0.971861   \n",
       "80  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -0.006998  0.994425   \n",
       "92  k__Bacteria;p__Proteobacteria;c__Epsilonproteo... -0.017128  0.986392   \n",
       "\n",
       "    n_pd  n_hc     q_val  \n",
       "33   133   106  0.000117  \n",
       "35   125    96  0.000117  \n",
       "2    189   128  0.000132  \n",
       "25   151   116  0.000468  \n",
       "7    189   130  0.000510  \n",
       "..   ...   ...       ...  \n",
       "56    81    59  0.953956  \n",
       "75    89    32  0.974746  \n",
       "28    79    28  0.991695  \n",
       "80   104    75  0.994425  \n",
       "92    61    24  0.994425  \n",
       "\n",
       "[100 rows x 6 columns]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# do the FDR correction (this returns q-values in the order they were given)\n",
    "qvals = multipletests(ttest_results_df['p_val'], method='fdr_bh')[1]\n",
    "\n",
    "# append q-values to dataframe\n",
    "ttest_results_df['q_val'] = qvals\n",
    "\n",
    "# show the new dataframe, but sort by q-value\n",
    "ttest_results_df.sort_values(by='q_val')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's pretty cool! Let's separate just the significant hits, and make a column with some easier-to-plot taxonomic names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>genus</th>\n",
       "      <th>t_stat</th>\n",
       "      <th>p_val</th>\n",
       "      <th>n_pd</th>\n",
       "      <th>n_hc</th>\n",
       "      <th>q_val</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.709539</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>189</td>\n",
       "      <td>128</td>\n",
       "      <td>0.000132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-3.628587</td>\n",
       "      <td>0.000343</td>\n",
       "      <td>173</td>\n",
       "      <td>119</td>\n",
       "      <td>0.004282</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.286936</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>189</td>\n",
       "      <td>130</td>\n",
       "      <td>0.000510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>k__Bacteria;p__Actinobacteria;c__Actinomycetia...</td>\n",
       "      <td>2.516550</td>\n",
       "      <td>0.012480</td>\n",
       "      <td>178</td>\n",
       "      <td>106</td>\n",
       "      <td>0.096004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.374117</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>151</td>\n",
       "      <td>116</td>\n",
       "      <td>0.000468</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.845231</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>133</td>\n",
       "      <td>106</td>\n",
       "      <td>0.000117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-4.858808</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>125</td>\n",
       "      <td>96</td>\n",
       "      <td>0.000117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-3.869231</td>\n",
       "      <td>0.000146</td>\n",
       "      <td>121</td>\n",
       "      <td>102</td>\n",
       "      <td>0.002090</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>k__Bacteria;p__Bacteroidetes;c__Bacteroidia;o_...</td>\n",
       "      <td>-3.217599</td>\n",
       "      <td>0.001465</td>\n",
       "      <td>193</td>\n",
       "      <td>122</td>\n",
       "      <td>0.016279</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-3.911859</td>\n",
       "      <td>0.000125</td>\n",
       "      <td>115</td>\n",
       "      <td>100</td>\n",
       "      <td>0.002080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Negativicutes;o__...</td>\n",
       "      <td>-3.124330</td>\n",
       "      <td>0.002096</td>\n",
       "      <td>133</td>\n",
       "      <td>88</td>\n",
       "      <td>0.020959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Erysipelotrichia;...</td>\n",
       "      <td>-2.542729</td>\n",
       "      <td>0.011665</td>\n",
       "      <td>166</td>\n",
       "      <td>110</td>\n",
       "      <td>0.096004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub...</td>\n",
       "      <td>-2.824324</td>\n",
       "      <td>0.005144</td>\n",
       "      <td>138</td>\n",
       "      <td>114</td>\n",
       "      <td>0.046764</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                genus    t_stat     p_val  \\\n",
       "2   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.709539  0.000004   \n",
       "3   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -3.628587  0.000343   \n",
       "7   k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.286936  0.000025   \n",
       "9   k__Bacteria;p__Actinobacteria;c__Actinomycetia...  2.516550  0.012480   \n",
       "25  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.374117  0.000019   \n",
       "33  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.845231  0.000002   \n",
       "35  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -4.858808  0.000002   \n",
       "38  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -3.869231  0.000146   \n",
       "40  k__Bacteria;p__Bacteroidetes;c__Bacteroidia;o_... -3.217599  0.001465   \n",
       "46  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -3.911859  0.000125   \n",
       "76  k__Bacteria;p__Firmicutes;c__Negativicutes;o__... -3.124330  0.002096   \n",
       "81  k__Bacteria;p__Firmicutes;c__Erysipelotrichia;... -2.542729  0.011665   \n",
       "88  k__Bacteria;p__Firmicutes;c__Clostridia;o__Eub... -2.824324  0.005144   \n",
       "\n",
       "    n_pd  n_hc     q_val  \n",
       "2    189   128  0.000132  \n",
       "3    173   119  0.004282  \n",
       "7    189   130  0.000510  \n",
       "9    178   106  0.096004  \n",
       "25   151   116  0.000468  \n",
       "33   133   106  0.000117  \n",
       "35   125    96  0.000117  \n",
       "38   121   102  0.002090  \n",
       "40   193   122  0.016279  \n",
       "46   115   100  0.002080  \n",
       "76   133    88  0.020959  \n",
       "81   166   110  0.096004  \n",
       "88   138   114  0.046764  "
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ttest_signif = ttest_results_df[ttest_results_df['q_val'] < 0.1]\n",
    "ttest_signif.loc[:, 'genus_plot'] = ttest_signif['genus'].str.split(';').apply(lambda x: ';'.join(x[-2:])) # take only the last 2 taxonomic levels\n",
    "ttest_signif"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How can we visualize this information? Here, I've plotted the T-statistic for each significant hit, colored by q-value. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XKFq0aJbV+ddff3H58mWsra0tgpY8efJw5swZzp8/b1E+s67cf/31F99++22G4ytVqgSQoY4CBQpYvLexsQFuTyD1OFauXEnbtm0pVqwYX3zxBTt37mTPnj10796dGzduPHJ9NjY2vPnmm3z55ZdcvnyZc+fOsWzZMl5//XWjrffy999/s3z5cmrVqkWhQoW4fPkyly9fplWrVphMJiMQv5Orq+s9tz3uhF933+P067rzHl+4cOG+506XlJTEiy++SExMDGPHjmXr1q3s2bOHlStXAhk/Nzs7O/LmzZvh3I/zWaQrWbIk586d49q1axbbBw4cyJ49e9izZ0+GZzOrn8u//voLgEGDBmWos3fv3pnWmdnPy4ABAxgxYgQtW7bk22+/JSYmhj179uDj4/PYPwMP0/4H+eyzz9izZw/79+/n9OnTHDx4kLp16z5SG+Lj4x/676d7PXt3PvMdO3Zk5syZvP7663z//ffs3r2bPXv2UKhQoce+V3/99Rdms5kiRYpk+Bx37dr1wOcCMv4s3YvJZGLTpk0EBAQwadIkqlWrRqFChXjnnXf4+++/H6v9Ik+TxmyLiMi/xtq1a0lNTX3opZIeRsGCBSlQoADr1q3LdL+jo6PF+8wm6SpYsCBVqlThww8/zLSOrPxyIDNffPEFpUuXZunSpRbtu9fa1g/jrbfeYsKECSxYsIAbN26QkpJCr169Hnjc4sWLuXbtGrt37yZ//vwZ9q9atYpLly5Z7Dtz5kyGcunb0n/RTw9eb968aRHw3x0YPIoCBQrc99zpNm/ezOnTp9m6dauRzQae6pjTl156ifXr1xMZGWkxjr1EiRKUKFECAGtra4tjsvq5LFiwIABDhw6ldevWmZa5e7x1Zj8vX3zxBV26dGHcuHEW28+fP0++fPkeqU1ZycvLy2IVhEe1e/duzpw589BLr93r2Ut/5q9cucKaNWsICQnh/fffN8qkz9HwuAoWLIjJZGL79u2Zfnn2oC/UHlWpUqWML9l+++03li1bxqhRo0hOTmbOnDlZei6RrKZgW0RE/hXi4+MZNGgQzs7OvPnmm1lW78svv8ySJUtITU2ldu3aj11HZGQkZcuWzTTAfBx3ZuUetLSYyWTC2traIrA5c+bMY81Gns7NzY02bdowa9YskpOTad68uUW37HuZP38+jo6OfP311+TKZdkBb+/evbz33nssWrTIYlm2TZs28ddffxnddVNTU1m6dClly5Y1JllKn0354MGDFhO0ffvtt499jQ0aNGD16tWZnvtO6ff17iDkzlnxH9WjZl1ff/11Jk+ezODBg6lbt+49J8u7U1Y/l+XLl6dcuXIcOHAgQ6D8KEwmU4Z7uXbtWk6dOoWHh8eTNjNHXLx4kV69epEnTx769+//UMcsXryYAQMGGM/XiRMniI6ONiY0NJlMmM3mDPdq3rx5pKamWmx7lOfp5ZdfZsKECZw6dYq2bds+VFsf5GHP7+npyfDhw/nqq6/48ccfs+TcItlJwbaIiDx3Dh06ZIwjPHv2LNu3byc8PBwrKytWrVr10LMDP4z27duzaNEigoKCePfdd6lVqxZ58uThzz//ZMuWLbRo0YJWrVrdt44xY8awYcMG6tSpwzvvvEP58uW5ceMGx48fJzIykjlz5mRYC/xB0tfpnThxIk2bNsXKyooqVapkyF4CxnJkvXv35tVXX+XkyZOEhobi5ubGkSNHHum8d3r33XeNLyDunrk6M4cOHWL37t289dZbNGzYMMP+unXrEhYWxvz58y2C7YIFC9KwYUNGjBhhzEb+yy+/WCz/FRQUhIuLCz169GDMmDHkzp2biIgITp48+djXN3z4cFavXk3Dhg0ZOXIkdnZ2fPLJJxmW86pTpw758+enV69ehISEkCdPHhYtWsSBAwce+9yOjo6UKlWKb775hkaNGuHi4kLBggUzLNGULl++fHz99dc0b94cHx8f3nrrLV544QUcHBy4cOECP/zwA2fOnKFOnTrGMdnxXM6dO5emTZsSEBBAcHAwxYoV4+LFixw+fJgff/yR5cuXP7COl19+mYiICCpUqECVKlXYt28fH3300SO3JaccOXKEXbt2kZaWxoULF4iJiWH+/PkkJiby2WefGd30H+Ts2bO0atWKN954gytXrhASEkLevHkZOnQoAE5OTtSrV4+PPvrIeDa2bdvG/PnzM/QAqFy5MgD/+9//cHR0JG/evJQuXTrTLuB169alZ8+edOvWjb1791KvXj3s7e1JSEhgx44deHt789Zbbz3SPSlbtiy2trYsWrQILy8vHBwcKFq0KOfPn6dPnz60adOGcuXKYW1tzebNmzl48KBFtl7kn0rBtoiIPHe6desG3O4Wmy9fPry8vBgyZAivv/56lgbacHtCrNWrVzN9+nQ+//xzxo8fT+7cuSlevDj169c3gt77cXNzY+/evYSGhvLRRx/x559/4ujoSOnSpQkMDHysrGLHjh2Jiopi1qxZjBkzBrPZzLFjxzINxrp168bZs2eZM2cOCxYsoEyZMrz//vv8+eefxjrgj6NWrVrG+r6NGjV6YPn0rqL36nmQJ08egoODmTBhAj/++KOxRNErr7xCpUqVGD58OPHx8ZQtW5ZFixZZTFTm5OTEunXr6NevH507dyZfvny8/vrrNG3a1Fg661FVrlyZjRs3MnDgQLp27Ur+/Pl57bXX+O9//0vPnj2NcgUKFGDt2rUMHDiQzp07Y29vT4sWLVi6dKlxDY9j/vz5vPfee7zyyivcvHmTrl27GmsjZ+aFF17g0KFDTJ8+na+//pqwsDCSk5MpVKgQ1atX59NPP7VYri07nssGDRqwe/duPvzwQ/r168elS5coUKAAFStWfOgs6fTp08mTJw/jx48nKSmJatWqsXLlSoYPH/7I7ckJH3zwAQC5c+fG2dkZT09PunfvTs+ePSlVqtRD1zNu3Dj27NlDt27dSExMpFatWixZssRiya4vv/ySd999l8GDB5OSkkLdunXZsGGDsbxWutKlSzNt2jSmT5+Ov78/qamphIeH33Pt9rlz5/LCCy8wd+5cZs2aRVpaGkWLFqVu3boZJkN7GHZ2dixYsIDRo0fTpEkTbt26RUhICL1796Zs2bLMmjWLkydPYjKZKFOmDGFhYfTt2/eRzyPytJnMWT0tq4iIiAi3u2z7+PjwySefGBNgiciT2bp1Kw0aNGD58uWPvY68iDwdymyLiIhIljp69CgnTpzggw8+wM3N7Z7ZMRERkeeZlv4SERGRLBUaGspLL71EUlISy5cvx87OLqebJCIi8tSpG7mIiIiIiIhIFlNmW0RERERERJ6qWbNmUbp0afLmzUv16tXZvn37PcsmJCTQsWNHypcvT65cuejXr1+m5b766isqVqyIjY0NFStWZNWqVdnU+oejYFtERERERESemqVLl9KvXz+GDRvG/v37efHFF2natCnx8fGZlr958yaFChVi2LBh+Pj4ZFpm586dtGvXjtdee40DBw7w2muv0bZtW2JiYrLzUu5L3chFRERERETkqalduzbVqlVj9uzZxjYvLy9atmzJ+PHj73usv78/vr6+TJs2zWJ7u3btSExM5LvvvjO2pS9TuHjx4ixt/8PSbOQiIpJBWloap0+fxtHREZPJlNPNEREReaaZzWb+/vtvihYtSq5cT7dz8Y0bN0hOTs7Wc5jN5gy/L9jY2GBjY5OhbHJyMvv27eP999+32N6kSROio6Mfuw07d+6kf//+FtsCAgIyBOVPk4JtERHJ4PTp05QoUSKnmyEiIvJcOXnyJMWLF39q57tx4walS5fmzJkz2XoeBwcHkpKSLLaFhIQwatSoDGXPnz9PamoqRYoUsdhepEiRJ2rnmTNnsrzOJ6VgW0REMnB0dARu/1Lg5OSUw60RERF5tiUmJlKiRAnj39enJTk5mTNnznDkWPb9e56YmEi50iUy/M6QWVb7TndnwjPLjj+q7KjzSSjYFhGRDNL/YXJyclKwLSIikkVyKvBzdHTC0TF7/j1PnwHsYX9nKFiwIFZWVhkyzmfPns2QmX4Urq6uWV7nk9Js5CIiIiIiIvJUWFtbU716dTZs2GCxfcOGDdSpU+ex6/Xz88tQ5/r165+ozielzLaIiDw1haoH53QTROQ5d25fRE43QeQfx/x//2VX3Y9qwIABvPbaa9SoUQM/Pz/+97//ER8fT69evQAYOnQop06d4rPPPjOOiY2NBSApKYlz584RGxuLtbU1FStWBODdd9+lXr16TJw4kRYtWvDNN9+wceNGduzY8eQX+ZgUbIuIiIiIiMhT065dOy5cuMCYMWNISEigcuXKREZGUqpUKQASEhIyrLldtWpV48/79u3jyy+/pFSpUhw/fhyAOnXqsGTJEoYPH86IESMoW7YsS5cupXbt2k/tuu6mdbZFRCSDxMREnJ2duXLlSpaO2VZmW0SymzLb8k+UXf+uPux5E85dztYJ0twK5Xvq1/Ys0JhtERERERERkSymbuQiIiIiIiLPMfP/vbKrbsmcMtsiIiIiIiIiWUyZbRERERERkeeY2fz/18POjrolc8psi4iIiIiIiGQxZbZFRERERESeY/+0dbb/LZTZFhEREREREcliCrafc2azmZ49e+Li4oLJZCI2Njanm5Qpf39/+vXrl9PNeKBnpZ3/RP7+/phMpmx5Dp/Fz8Xd3Z1p06Zl+3mCg4ON+/71119n+/lERETkH8iczS/JlILt59y6deuIiIhgzZo1JCQkULly5ceqJzg4mJYtW2Zt455BK1euJDQ0NKeb8cx64403LJ7D48ePG4Hg3a9du3blcGstZfXPwJ49e+jZs2eW1Xcv06dPJyEhIdvPIyIiIiKWNGb7OXf06FHc3NyoU6dOTjflueDi4nLf/cnJyVhbWz+l1jx77OzscHV1zbB948aNVKpUyWJbgQIFnlaznqr0Z6RQoUJP5XzOzs44Ozs/lXOJiIjIP5PW2c4Zymw/x4KDg+nbty/x8fGYTCbc3d2z7VxTpkzB29sbe3t7SpQoQe/evUlKSrIoExUVRf369bGzsyN//vwEBARw6dIlY39aWhqDBw/GxcUFV1dXRo0aZXG8yWRi3rx5tGrVCjs7O8qVK8fq1astymzbto1atWphY2ODm5sb77//PikpKcb+FStW4O3tja2tLQUKFKBx48ZcvXoV+P+Zy9GjR1O4cGGcnJx48803SU5ONo6/u7uyu7s7Y8eOJTg4GGdnZ9544w0AhgwZgqenJ3Z2dpQpU4YRI0Zw69Yti7auXr2aGjVqkDdvXgoWLEjr1q2NfcnJyQwePJhixYphb29P7dq12bp1q7H/woULdOjQgeLFi2NnZ4e3tzeLFy+2qN9sNjNp0iTKlCmDra0tPj4+rFix4l4fIQApKSm888475MuXjwIFCjBkyBC6du2a7b0aChQogKurq8UrT548QOYZ5X79+uHv75+h7X369DHaPnz4cMx3rEXxxRdfUKNGDRwdHXF1daVjx46cPXvWoo6ff/6ZZs2a4eTkhKOjIy+++CJHjx5l1KhRLFy4kG+++cbIvKd/HqdOnaJdu3bkz5+fAgUK0KJFC44fP27Umd7+8ePHU7RoUTw9PQHLbuTpGf47u9dfvnzZ4jxbt27FZDLx/fffU7VqVWxtbWnYsCFnz57lu+++w8vLCycnJzp06MC1a9ce74MQERERkSyjYPs5Nn36dMaMGUPx4sVJSEhgz5492XauXLly8fHHH3Po0CEWLlzI5s2bGTx4sLE/NjaWRo0aUalSJXbu3MmOHTto3rw5qampRpmFCxdib29PTEwMkyZNYsyYMWzYsMHiPKNHj6Zt27YcPHiQoKAgOnXqxMWLF4HbQU9QUBA1a9bkwIEDzJ49m/nz5zN27FgAEhIS6NChA927d+fw4cNs3bqV1q1bWwRkmzZt4vDhw2zZsoXFixezatUqRo8efd9r/+ijj6hcuTL79u1jxIgRADg6OhIREUFcXBzTp0/n008/ZerUqcYxa9eupXXr1jRr1oz9+/ezadMmatSoYezv1q0bUVFRLFmyhIMHD9KmTRsCAwM5cuQIADdu3KB69eqsWbOGQ4cO0bNnT1577TViYmKMOoYPH054eDizZ8/m559/pn///nTu3Jlt27YZZdzd3S2+1Jg4cSKLFi0iPDycqKgoEhMTn5lxvgsXLiR37tzExMTw8ccfM3XqVObNm2fsT05OJjQ0lAMHDvD1119z7NgxgoODjf2nTp2iXr165M2bl82bN7Nv3z66d+9OSkoKgwYNom3btgQGBpKQkEBCQgJ16tTh2rVrNGjQAAcHB3744Qd27NiBg4MDgYGBFl/SpD9XGzZsYM2aNU90naNGjWLmzJlER0dz8uRJ2rZty7Rp0/jyyy9Zu3YtGzZsYMaMGU90DhEREXm+pK+znV0vyZy6kT/HnJ2dcXR0xMrKKtOuu1npzmxv6dKlCQ0N5a233mLWrFkATJo0iRo1ahjvgQzdhqtUqUJISAgA5cqVY+bMmWzatImXXnrJKBMcHEyHDh0AGDduHDNmzGD37t0EBgYya9YsSpQowcyZMzGZTFSoUIHTp08zZMgQRo4cSUJCAikpKbRu3ZpSpUoB4O3tbdEGa2trFixYgJ2dHZUqVWLMmDG89957hIaGkitX5t9NNWzYkEGDBllsGz58uPFnd3d3Bg4cyNKlS40vID788EPat29vEcj7+PgAt7v+L168mD///JOiRYsCMGjQINatW0d4eDjjxo2jWLFiFufs27cv69atY/ny5dSuXZurV68yZcoUNm/ejJ+fHwBlypRhx44dzJ07l/r16wNQtmxZChYsaNQzY8YMhg4dSqtWrQCYOXMmkZGRmV53VqpTp06G+3vlyhWsrKweuo4SJUowdepUTCYT5cuX56effmLq1KlGb4Pu3bsbZcuUKcPHH39MrVq1SEpKwsHBgU8++QRnZ2eWLFliZNXTs9AAtra23Lx50+Jn6YsvviBXrlzMmzcPk8kEQHh4OPny5WPr1q00adIEAHt7e+bNm5clQwzGjh1L3bp1AejRowdDhw7l6NGjlClTBoBXX32VLVu2MGTIkEeq9+bNm9y8edN4n5iY+MRtFREREfk3U7AtWWLLli2MGzeOuLg4EhMTSUlJ4caNG1y9ehV7e3tiY2Np06bNfeuoUqWKxXs3N7cM3XzvLGNvb4+jo6NR5vDhw/j5+RlBD0DdunVJSkrizz//xMfHh0aNGuHt7U1AQABNmjTh1VdfJX/+/EZ5Hx8f7OzsjPd+fn4kJSVx8uRJI0C/250Z6XQrVqxg2rRp/P777yQlJZGSkoKTk5OxPzY21ggC7/bjjz9iNpstAj24HQylj2NOTU1lwoQJLF26lFOnThmBkr29PQBxcXHcuHHD4osKuJ3drVq1qvF+06ZNxp+vXLnCX3/9Ra1atYxtVlZWVK9enbS0tEzbmlWWLl2Kl5eXxbZHCbQBXnjhBYvP3s/Pj7CwMFJTU7GysmL//v2MGjWK2NhYLl68aFxTfHw8FStWJDY2lhdffNEItB/Gvn37+P3333F0dLTYfuPGDY4ePWq89/b2zrKx/Hf+DBQpUsQYqnDntt27dz9yvePHj39gLw4RERF5Nmmd7ZyhYFue2IkTJwgKCqJXr16Ehobi4uLCjh076NGjhzFO2dbW9oH13B3kmEymDEHe/cqYzWaLYCt9W3o5KysrNmzYQHR0NOvXr2fGjBkMGzaMmJgYSpcufd+23V3vndID3HS7du0ystYBAQFGtjQsLMwoc7/7kZaWhpWVFfv27csQcDo4OAAQFhbG1KlTmTZtmjFWvl+/fkbX5fR7snbtWooVK2ZRh42NzSNdq/kp9A0qUaIEHh4eme7LlStXhjbcPf79Qa5evUqTJk1o0qQJX3zxBYUKFSI+Pp6AgADjnj3MM3q3tLQ0qlevzqJFizLsu3MCtLufkbulZ/XvvM57XeOdPwMmk+mhfm4extChQxkwYIDxPjExkRIlSjxyPSIiIiJym8ZsyxPbu3cvKSkphIWF8cILL+Dp6cnp06ctylSpUsUii5odKlasSHR0tEXAEh0djaOjoxFwmkwm6taty+jRo9m/fz/W1tasWrXKKH/gwAGuX79uvN+1axcODg4UL178odsRFRVFqVKlGDZsGDVq1KBcuXKcOHHCosz97kfVqlVJTU3l7NmzeHh4WLzSuzBv376dFi1a0LlzZ3x8fChTpowxnjv9XtjY2BAfH5+hjnsFUM7Ozhmyoqmpqezfv/+hrz07FCpUKMPSVZmt0333UmG7du2iXLlyWFlZ8csvv3D+/HkmTJjAiy++SIUKFTLtNbF9+/Z7BrnW1tYWcwwAVKtWjSNHjlC4cOEM9/lRZgBPD8zvvM6sXov8QWxsbHBycrJ4iYiIyPNBY7ZzhoJteWhXrlwhNjbW4hUfH0/ZsmVJSUlhxowZ/PHHH3z++efMmTPH4tihQ4eyZ88eevfuzcGDB/nll1+YPXs258+fz7L29e7dm5MnT9K3b19++eUXvvnmG0JCQhgwYAC5cuUiJiaGcePGsXfvXuLj41m5ciXnzp2z6L6cnJxMjx49iIuL47vvviMkJIQ+ffrcc7x2Zjw8PIiPj2fJkiUcPXqUjz/+2CKgBwgJCWHx4sWEhIRw+PBhfvrpJyZNmgTcHifcqVMnunTpwsqVKzl27Bh79uxh4sSJxvhpDw8PI0t/+PBh3nzzTc6cOWPU7+joyKBBg+jfvz8LFy7k6NGj7N+/n08++YSFCxfes+19+/Zl/PjxfPPNN/z666+8++67XLp06b6Z/axw4cIFzpw5Y/G6ceMGcHtM/N69e/nss884cuQIISEhHDp0KEMdJ0+eZMCAAfz6668sXryYGTNm8O677wJQsmRJrK2tjWd09erVGdZL79OnD4mJibRv3569e/dy5MgRPv/8c3799Vfg9tj7gwcP8uuvv3L+/Hlu3bpFp06dKFiwIC1atGD79u0cO3aMbdu28e677/Lnn38+9PXb2trywgsvMGHCBOLi4vjhhx8sxv2LiIiIyLNHwbY8tK1bt1K1alWL18iRI/H19WXKlClMnDiRypUrs2jRIsaPH29xrKenJ+vXr+fAgQPUqlULPz8/vvnmG3LnzrqRDMWKFSMyMpLdu3fj4+NDr1696NGjhxG0ODk58cMPPxAUFISnpyfDhw8nLCyMpk2bGnU0atSIcuXKUa9ePdq2bUvz5s0zLEH2IC1atKB///706dMHX19foqOjjVnK0/n7+7N8+XJWr16Nr68vDRs2tJhJPDw8nC5dujBw4EDKly/PK6+8QkxMjJGVHjFiBNWqVSMgIAB/f39cXV0zLI8VGhrKyJEjGT9+PF5eXgQEBPDtt99adJm/ezbyIUOG0KFDB7p06YKfnx8ODg4EBASQN2/eR7oHj6px48a4ublZvNJnQQ8ICGDEiBEMHjyYmjVr8vfff9OlS5cMdXTp0oXr169Tq1Yt3n77bfr27UvPnj2B25njiIgIli9fTsWKFZkwYQKTJ0+2OL5AgQJs3ryZpKQk6tevT/Xq1fn000+NbtpvvPEG5cuXp0aNGhQqVIioqCjs7Oz44YcfKFmyJK1bt8bLy4vu3btz/fr1R84ML1iwgFu3blGjRg3effddYxZ9EREREXk2mcxPY0CmyDMgODiYy5cvPzNLXT2p69ev4+LiQmRkJA0aNMi0TFpaGl5eXrRt2zZDJvhR+fv74+vra6wtLU+XyWRi1apVD71memJiIs7Ozly5ciVLu5QXqh6cZXWJiGTm3L6InG6CSAbZ9e/qw573eMLFbDtvYmIi7m4uT/3angXKbIv8S23bto2GDRtaBNonTpzg008/5bfffuOnn37irbfe4tixY3Ts2DFLzjlr1iwcHBz46aefsqQ+ebBevXoZE+uJiIjIv5PGbOcMzUb+L5G+vFFmrl27BmCx5NWd4uLiKFmyZLa1TXJGYGAggYGBFtty5cpFREQEgwYNwmw2U7lyZTZu3IiXl9cTP0OLFi0yJp/T8/T0jBkzxliT3c3NLYdbIyIiIvLvoWD7X6Jo0aKPPbtx0aJFs7Yx/1ARERE53YQcV6JECaKiojLd96TPUFaOz5eHV7hwYQoXLpzTzRAREZEclX3rbKN1tu9Jv/3+S+TOnfue6xiLPAw9QyIiIiIiD0/BtoiIiIiIyHMsO8dWa8z2vWmCNBEREREREZEspsy2iIiIiIjIc8xM9o2sVmL73pTZFhEREREREcliymyLiIiIiIg8z5TazhEKtkVE5Kk5ty8ip5sgIiIi8lQo2BYREREREXmOmbNxne3sW7/72acx2yIiIiIiIiJZTJltERERERGR55jW2c4ZymyLiIiIiIiIZDFltkVERERERJ5jmow8ZyizLSIiIiIiIpLFlNkWERERERF5nim1nSMUbIuIyFNVqHpwTjdBRJ5j5/ZF5HQTREQABdsiIiIiIiLPNa2znTM0ZltEREREREQkiymzLSIiIiIi8hzTOts5Q5ltERERERERkSymzLaIiIiIiMhzTJOR5wxltkVERERERESymDLbIiIiIiIizzGN2c4ZymyLiIiIiIiIZDFltkVERERERJ5rGrWdE5TZlmxhNpvp2bMnLi4umEwmYmNjc7pJmfL396dfv3453YwHelbaKZkbNWoUvr6+2VL38ePH/9E/YyIiIiL/Vgq2JVusW7eOiIgI1qxZQ0JCApUrV36seoKDg2nZsmXWNu4ZtHLlSkJDQ3O6Gc+k4OBgTCYTJpOJ3LlzU7JkSd566y0uXbqU003LEiVKlHiinzERERF5/qWP2c6ul2RO3cglWxw9ehQ3Nzfq1KmT0015Lri4uNx3f3JyMtbW1k+pNc+ewMBAwsPDSUlJIS4uju7du3P58mUWL16c0017Iumfu6ura043RURERETuosy2ZLng4GD69u1LfHw8JpMJd3f3bDvXlClT8Pb2xt7enhIlStC7d2+SkpIsykRFRVG/fn3s7OzInz8/AQEBFlnNtLQ0Bg8ejIuLC66urowaNcrieJPJxLx582jVqhV2dnaUK1eO1atXW5TZtm0btWrVwsbGBjc3N95//31SUlKM/StWrMDb2xtbW1sKFChA48aNuXr1KvD/s/ejR4+mcOHCODk58eabb5KcnGwcf3c3cnd3d8aOHUtwcDDOzs688cYbAAwZMgRPT0/s7OwoU6YMI0aM4NatWxZtXb16NTVq1CBv3rwULFiQ1q1bG/uSk5MZPHgwxYoVw97entq1a7N161Zj/4ULF+jQoQPFixfHzs4Ob2/vDAGr2Wxm0qRJlClTBltbW3x8fFixYsW9PkIAUlJSeOedd8iXLx8FChRgyJAhdO3aNct6NdjY2ODq6krx4sVp0qQJ7dq1Y/369cb+tLQ0xowZQ/HixbGxscHX15d169ZZ3Jc+ffrg5uZG3rx5cXd3Z/z48cb+K1eu0LNnT+Pza9iwIQcOHMjQjrlz51KiRAns7Oxo06YNly9fNvZlNlSgZcuWBAcHG+8z+9zv7kaemppKjx49KF26NLa2tpQvX57p06c/2Q0UERGRZ5o5m1+SOQXbkuWmT59uBC4JCQns2bMn286VK1cuPv74Yw4dOsTChQvZvHkzgwcPNvbHxsbSqFEjKlWqxM6dO9mxYwfNmzcnNTXVKLNw4ULs7e2JiYlh0qRJjBkzhg0bNlicZ/To0bRt25aDBw8SFBREp06duHjxIgCnTp0iKCiImjVrcuDAAWbPns38+fMZO3YsAAkJCXTo0IHu3btz+PBhtm7dSuvWrTHf0edm06ZNHD58mC1btrB48WJWrVrF6NGj73vtH330EZUrV2bfvn2MGDECAEdHRyIiIoiLi2P69Ol8+umnTJ061Thm7dq1tG7dmmbNmrF//342bdpEjRo1jP3dunUjKiqKJUuWcPDgQdq0aUNgYCBHjhwB4MaNG1SvXp01a9Zw6NAhevbsyWuvvUZMTIxRx/DhwwkPD2f27Nn8/PPP9O/fn86dO7Nt2zajjLu7u8WXGhMnTmTRokWEh4cTFRVFYmIiX3/99X2v/3H98ccfrFu3jjx58hjbpk+fTlhYGJMnT+bgwYMEBATwyiuvGNf98ccfs3r1apYtW8avv/7KF198YXyJZDabadasGWfOnCEyMpJ9+/ZRrVo1GjVqZDwjAL///jvLli3j22+/Zd26dcTGxvL2228/cvsz+9zvlJaWRvHixVm2bBlxcXGMHDmSDz74gGXLlj3yuURERETk8ZnMZvWyl6w3bdo0pk2bxvHjx5+onuDgYC5fvvzQgdfy5ct56623OH/+PAAdO3YkPj6eHTt2ZFre39+f1NRUtm/fbmyrVasWDRs2ZMKECcDtzPbw4cONMdNXr17F0dGRyMhIAgMDGTZsGF999RWHDx/GZDIBMGvWLIYMGcKVK1eIjY2levXqHD9+nFKlSmV6jd9++y0nT57Ezs4OgDlz5vDee+9x5coVcuXKhb+/P76+vkybNg24HaxWrVqVVatW3fd+fPTRRyxdupS9e/cCUKdOHcqUKcMXX3yRoezRo0cpV64cf/75J0WLFjW2N27cmFq1ajFu3LhMz9GsWTO8vLyYPHkyV69epWDBgmzevBk/Pz+jzOuvv861a9f48ssvAWjUqBGtWrWiT58+ALi6ujJo0CAGDRoE3M7OlilThqpVqz5x0B0cHMwXX3xB3rx5SU1N5caNG8DtXhH9+/cHoFixYrz99tt88MEHxnG1atWiZs2afPLJJ7zzzjv8/PPPbNy40fiM023evJlWrVpx9uxZbGxsjO0eHh4MHjyYnj17MmrUKMaOHcvx48cpXrw4cHteg2bNmnHq1ClcXV0zfMZwO7OdL18+IiIigMw/9+PHj1O6dGn2799/z0nY3n77bf7666/79jC4efMmN2/eNN4nJiZSokQJrly5gpOT033u8KMrVD04S+sTEbnTuX0ROd0EkQwSExNxdnbOln9XH+a8Px07i6Nj9pz3778T8S5d+Klf27NAY7blmbZlyxbGjRtHXFwciYmJpKSkcOPGDa5evYq9vT2xsbG0adPmvnVUqVLF4r2bmxtnz569Zxl7e3scHR2NMocPH8bPz88iCKtbty5JSUn8+eef+Pj40KhRI7y9vQkICKBJkya8+uqr5M+f3yjv4+NjBNoAfn5+JCUlcfLkyUwDdMAiI51uxYoVTJs2jd9//52kpCRSUlIs/tKLjY01upzf7ccff8RsNuPp6Wmx/ebNmxQoUAC4HQRPmDCBpUuXcurUKSNAs7e3ByAuLo4bN27w0ksvWdSRnJxM1apVjfebNm0y/nzlyhX++usvatWqZWyzsrKievXqpKWlZdrWR9WgQQNmz57NtWvXmDdvHr/99ht9+/YFbv8jdPr0aerWrWtxTN26dY2u4MHBwbz00kuUL1+ewMBAXn75ZZo0aQLAvn37SEpKMu5RuuvXr3P06FHjfcmSJY1AG25/xmlpafz666+PNOY6s8/9bnPmzGHevHmcOHGC69evk5yc/MDZ0MePH//A3hQiIiIi8vAUbMsz68SJEwQFBdGrVy9CQ0NxcXFhx44d9OjRwxinbGtr+8B67uxODLcz2XcHefcrYzabM2Q70zuMmEwmrKys2LBhA9HR0axfv54ZM2YwbNgwYmJiKF269H3bdne9d0oPcNPt2rWL9u3bM3r0aAICAnB2dmbJkiWEhYUZZe53P9LS0rCysmLfvn1YWVlZ7HNwcAAgLCyMqVOnMm3aNGOsfL9+/Yzx5en3ZO3atRQrVsyijjuzvg9zrVnZ6cbe3h4PDw/gdpfwBg0aMHr0aIsZ3jM7f/q2atWqcezYMb777js2btxI27Ztady4MStWrCAtLQ03NzeLse3p8uXLd882pded/v9cuXJluOa7x9unX8v9LFu2jP79+xMWFoafnx+Ojo589NFHFl39MzN06FAGDBhgvE/PbIuIiMizz/x//2VX3ZI5jdmWZ9bevXtJSUkhLCyMF154AU9PT06fPm1RpkqVKhZZ1OxQsWJFoqOjLQKl6OhoHB0djYDTZDJRt25dRo8ezf79+7G2trboCnzgwAGuX79uvN+1axcODg4WmdAHiYqKolSpUgwbNowaNWpQrlw5Tpw4YVHmfvejatWqpKamcvbsWTw8PCxe6ZnX7du306JFCzp37oyPjw9lypQxxjWn3wsbGxvi4+Mz1HGvwM3Z2ZkiRYqwe/duY1tqair79+9/6Gt/VCEhIUyePJnTp0/j5ORE0aJFMww1iI6OxsvLy3jv5OREu3bt+PTTT1m6dClfffUVFy9epFq1apw5c4bcuXNnuOaCBQsax8fHx1s8nzt37iRXrlxGT4JChQqRkJBg7E9NTeXQoUOPfG3bt2+nTp069O7dm6pVq+Lh4WGRYb8XGxsbnJycLF4iIiIi8viU2ZZ/vPRxz3dycXGhbNmypKSkMGPGDJo3b05UVBRz5syxKDd06FC8vb3p3bs3vXr1wtrami1bttCmTRuLQOhJ9O7dm2nTptG3b1/69OnDr7/+SkhICAMGDCBXrlzExMSwadMmmjRpQuHChYmJieHcuXMWgVxycjI9evRg+PDhnDhxgpCQEPr06UOuXA//fZiHhwfx8fEsWbKEmjVrsnbt2gxjukNCQmjUqBFly5alffv2pKSk8N133zF48GA8PT3p1KkTXbp0ISwsjKpVq3L+/Hk2b96Mt7c3QUFBeHh48NVXXxEdHU3+/PmZMmUKZ86cMa7F0dGRQYMG0b9/f9LS0vjPf/5DYmIi0dHRODg40LVr10zb3rdvX8aPH4+HhwcVKlRgxowZXLp06b6Z/Sfh7+9PpUqVGDduHDNnzuS9994jJCSEsmXL4uvrS3h4OLGxsSxatAiAqVOn4ubmhq+vL7ly5WL58uW4urqSL18+GjdujJ+fHy1btmTixImUL1+e06dPExkZScuWLY1u33nz5qVr165MnjyZxMRE3nnnHdq2bWt8kdGwYUMGDBjA2rVrKVu2LFOnTrWYrfxheXh48Nlnn/H9999TunRpPv/8c/bs2fPAXhQiIiLyHMvOacOV2L4nBdvyj7d161aL8b4AXbt2JSIigilTpjBx4kSGDh1KvXr1GD9+PF26dDHKeXp6sn79ej744ANq1aqFra0ttWvXpkOHDlnWvmLFihEZGcl7772Hj48PLi4uRuAMtzOiP/zwA9OmTSMxMZFSpUoRFhZG06ZNjToaNWpEuXLlqFevHjdv3qR9+/YZliB7kBYtWtC/f3/69OnDzZs3adasGSNGjLCox9/fn+XLlxMaGsqECRNwcnKiXr16xv7w8HDGjh3LwIEDOXXqFAUKFMDPz4+goCAARowYwbFjxwgICMDOzo6ePXvSsmVLrly5YtQRGhpK4cKFGT9+PH/88Qf58uWjWrVqFpOPubu7ExwcbLRtyJAhnDlzhi5dumBlZUXPnj0JCAjI0J09Kw0YMIBu3boxZMgQ3nnnHRITExk4cCBnz56lYsWKrF69mnLlygG3u9FPnDiRI0eOYGVlRc2aNYmMjDS+DImMjGTYsGF0796dc+fO4erqSr169ShSpIhxPg8PD1q3bk1QUBAXL14kKCiIWbNmGfu7d+/OgQMH6NKlC7lz56Z///40aNDgka+rV69exMbG0q5dO0wmEx06dKB379589913T3jHRERERORRaDZykRz2qDOuP+uuX7+Oi4sLkZGR9wwm09LS8PLyom3bthbjquXpyc5ZUzUbuYhkJ81GLv9EOT0b+YE//srW2ch9yhTRbOSZUGZbRJ6qbdu20bBhQ4tA+8SJE6xfv5769etz8+ZNZs6cybFjx+jYsWMOtlRERERE5PEp2JZsFR8fT8WKFTPdd+3aNQCLJa/uFBcXR8mSJbOtbZIzAgMDCQwMtNiWK1cuIiIiGDRoEGazmcqVK7Nx40a8vLz0DImIiIg8IbP59iu76pbMKdiWbFW0aNEMk5s9yrH/BhERETndhBxXokQJoqKiMt2nZ0hEREREnkUKtiVbpS+HJPK49AyJiIiIPBmts50ztM62iIiIiIiISBZTZltEREREROR5pnW2c4Qy2yIiIiIiIiJZTJltERERERGR55gS2zlDmW0RERERERGRLKbMtoiIPFXn9kXkdBNERET+XbJxnW2ltu9NmW0RERERERGRLKbMtoiIiIiIyHNM62znDAXbIiIiIiIizzPNkJYj1I1cREREREREJIspsy0iIiIiIvIcU2I7ZyizLSIiIiIiIpLFlNkWERERERF5jpmzcemvbFtS7DmgYFtERP5RClUPzukmiMgz7Ny+iJxugogIoGBbRERERETkuaalv3KGxmyLiIiIiIiIZDFltkVERERERJ5nmo48RyizLSIiIiIiIpLFlNkWERERERF5jimxnTOU2RYRERERERHJYspsi4iIiIiIPMe0znbOUGZbREREREREJIspsy0iIiIiIvIc0zrbOUOZbZF/ELPZTM+ePXFxccFkMhEbG5vTTcqUv78//fr1y+lmPNCz0k4RERERef4osy3yD7Ju3ToiIiLYunUrZcqUoWDBgo9VT3BwMJcvX+brr7/O2gY+Y1auXEmePHlyuhkiIiIiOUvTkecIBdsi/yBHjx7Fzc2NOnXq5HRTngsuLi733Z+cnIy1tfVTao2IiIiI/JuoG7nIP0RwcDB9+/YlPj4ek8mEu7t7tp1rypQpeHt7Y29vT4kSJejduzdJSUkWZaKioqhfvz52dnbkz5+fgIAALl26ZOxPS0tj8ODBuLi44OrqyqhRoyyON5lMzJs3j1atWmFnZ0e5cuVYvXq1RZlt27ZRq1YtbGxscHNz4/333yclJcXYv2LFCry9vbG1taVAgQI0btyYq1evArfvV8uWLRk9ejSFCxfGycmJN998k+TkZOP4u7uRu7u7M3bsWIKDg3F2duaNN94AYMiQIXh6emJnZ0eZMmUYMWIEt27dsmjr6tWrqVGjBnnz5qVgwYK0bt3a2JecnMzgwYMpVqwY9vb21K5dm61btxr7L1y4QIcOHShevDh2dnZ4e3uzePFii/rNZjOTJk2iTJky2Nra4uPjw4oVK+71EYqIiIg8NHM2vyRzCrZF/iGmT5/OmDFjKF68OAkJCezZsyfbzpUrVy4+/vhjDh06xMKFC9m8eTODBw829sfGxtKoUSMqVarEzp072bFjB82bNyc1NdUos3DhQuzt7YmJiWHSpEmMGTOGDRs2WJxn9OjRtG3bloMHDxIUFESnTp24ePEiAKdOnSIoKIiaNWty4MABZs+ezfz58xk7diwACQkJdOjQge7du3P48GG2bt1K69atMd+xvsSmTZs4fPgwW7ZsYfHixaxatYrRo0ff99o/+ugjKleuzL59+xgxYgQAjo6OREREEBcXx/Tp0/n000+ZOnWqcczatWtp3bo1zZo1Y//+/WzatIkaNWoY+7t160ZUVBRLlizh4MGDtGnThsDAQI4cOQLAjRs3qF69OmvWrOHQoUP07NmT1157jZiYGKOO4cOHEx4ezuzZs/n555/p378/nTt3Ztu2bUYZd3f3DF9qiIiIiMg/k8ls1spoIv8U06ZNY9q0aRw/fvyJ6nnUMdvLly/nrbfe4vz58wB07NiR+Ph4duzYkWl5f39/UlNT2b59u7GtVq1aNGzYkAkTJgC3M9vDhw8nNDQUgKtXr+Lo6EhkZCSBgYEMGzaMr776isOHD2MymQCYNWsWQ4YM4cqVK8TGxlK9enWOHz9OqVKlMr3Gb7/9lpMnT2JnZwfAnDlzeO+997hy5Qq5cuXC398fX19fpk2bBtwOVqtWrcqqVavuez8++ugjli5dyt69ewGoU6cOZcqU4YsvvshQ9ujRo5QrV44///yTokWLGtsbN25MrVq1GDduXKbnaNasGV5eXkyePJmrV69SsGBBNm/ejJ+fn1Hm9ddf59q1a3z55ZcANGrUiFatWtGnT5/7tv9x3Lx5k5s3bxrvExMTKVGiBFeuXMHJySnLz3c/haoHP9Xzicjz5dy+iJxugkgGiYmJODs7P/V/V9PPG/XzKRwcs+e8SX8nUrdSsUe+tlmzZvHRRx+RkJBApUqVmDZtGi+++OI9y2/bto0BAwbw888/U7RoUQYPHkyvXr0sykybNo3Zs2cTHx9PwYIFefXVVxk/fjx58+Z97Ot7EhqzLfIvtGXLFsaNG0dcXByJiYmkpKRw48YNrl69ir29PbGxsbRp0+a+dVSpUsXivZubG2fPnr1nGXt7exwdHY0yhw8fxs/Pzwi0AerWrUtSUhJ//vknPj4+NGrUCG9vbwICAmjSpAmvvvoq+fPnN8r7+PgYgTaAn58fSUlJnDx5MtMAHbDISKdbsWIF06ZN4/fffycpKYmUlBSLfyxiY2ONLud3+/HHHzGbzXh6elpsv3nzJgUKFAAgNTWVCRMmsHTpUk6dOmUEtvb29gDExcVx48YNXnrpJYs6kpOTqVq1qvF+06ZNmbYhK4wfP/6BvQJEREREssLSpUvp168fs2bNom7dusydO5emTZsSFxdHyZIlM5Q/duwYQUFBvPHGG3zxxRdERUXRu3dvChUqxH//+18AFi1axPvvv8+CBQuoU6cOv/32G8HBwQAWPRafJgXbIv8yJ06cICgoiF69ehEaGoqLiws7duygR48exjhlW1vbB9Zz9yzfJpOJtLS0hy5jNpstAu30benlrKys2LBhA9HR0axfv54ZM2YwbNgwYmJiKF269H3bdne9d0oPcNPt2rWL9u3bM3r0aAICAnB2dmbJkiWEhYUZZe53P9LS0rCysmLfvn1YWVlZ7HNwcAAgLCyMqVOnMm3aNGOsfL9+/Yzx5en3ZO3atRQrVsyiDhsbm/tea1YZOnQoAwYMMN6nZ7ZFRETk2fdPW2d7ypQp9OjRg9dffx24nZH+/vvvmT17NuPHj89Qfs6cOZQsWdLorejl5cXevXuZPHmyEWzv3LmTunXr0rFjR+B2j8YOHTqwe/fux7yyJ6cx2yL/Mnv37iUlJYWwsDBeeOEFPD09OX36tEWZKlWqZGsWFaBixYpER0dbjMGOjo7G0dHRCDhNJhN169Zl9OjR7N+/H2tra4su4AcOHOD69evG+127duHg4EDx4sUfuh1RUVGUKlWKYcOGUaNGDcqVK8eJEycsytzvflStWpXU1FTOnj2Lh4eHxcvV1RWA7du306JFCzp37oyPjw9lypQxxnOn3wsbGxvi4+Mz1PG0Al4bGxucnJwsXiIiIiJZLTk5mX379tGkSROL7U2aNCE6OjrTY3bu3JmhfEBAAHv37jWSRf/5z3/Yt2+fEVz/8ccfREZG0qxZs2y4ioejzLbIcyp93POdXFxcKFu2LCkpKcyYMYPmzZsTFRXFnDlzLMoNHToUb29vevfuTa9evbC2tmbLli20adPmsdf+vlvv3r2ZNm0affv2pU+fPvz666+EhIQwYMAAcuXKRUxMDJs2baJJkyYULlyYmJgYzp07h5eXl1FHcnIyPXr0YPjw4Zw4cYKQkBD69OlDrlwP/z2ih4cH8fHxLFmyhJo1a7J27doMY7pDQkJo1KgRZcuWpX379qSkpPDdd98xePBgPD096dSpE126dCEsLIyqVaty/vx5Nm/ejLe3N0FBQXh4ePDVV18RHR1N/vz5mTJlCmfOnDGuxdHRkUGDBtG/f3/S0tL4z3/+Q2JiItHR0Tg4ONC1a9csueciIiLyL/UU1tlOTEy02GxjY5NpD73z58+TmppKkSJFLLYXKVKEM2fOZHqKM2fOZFo+JSWF8+fP4+bmRvv27Tl37hz/+c9/MJvNpKSk8NZbb/H+++8/wcU9GWW2RZ5TW7dupWrVqhavkSNH4uvry5QpU5g4cSKVK1dm0aJFGbrreHp6sn79eg4cOECtWrXw8/Pjm2++IXfurPt+rlixYkRGRrJ79258fHzo1auXETgDODk58cMPPxAUFISnpyfDhw8nLCyMpk2bGnU0atSIcuXKUa9ePdq2bUvz5s0febbuFi1a0L9/f/r06YOvry/R0dHGLOXp/P39Wb58OatXr8bX15eGDRtazCQeHh5Oly5dGDhwIOXLl+eVV14hJibGyEqPGDGCatWqERAQgL+/P66urrRs2dLiHKGhoYwcOZLx48fj5eVFQEAA3377rUWXec1GLiIiIv9UJUqUwNnZ2Xhl1h38TpkNJ7zfUMD7DT+E27/7fvjhh8yaNYsff/yRlStXsmbNGmOy3pyg2chF5Jn0qDOuP+uuX7+Oi4sLkZGRNGjQINvPl1OzpoJmIxeRJ6PZyOWfKKdnI99+6M9snY38xcrFOXnypMW13SuznZycjJ2dHcuXL6dVq1bG9nfffZfY2FiLZU/T1atXj6pVqzJ9+nRj26pVq2jbti3Xrl0jT548vPjii7zwwgt89NFHRpkvvviCnj17kpSU9Eg9H7OKMtsiIs+Abdu20bBhw6cSaIuIiIg8qrvnfrnXJK/W1tZUr16dDRs2WGzfsGEDderUyfQYPz+/DOXXr19PjRo1jAl5r127liGgtrKywmw2k1P5ZY3ZFvkHio+Pp2LFipnuu3btGoDFkld3uteSCfJsCwwMJDAw0HifPtN5Zq5fv37PGdS/++67+65hKSIiIs8fs/n2K7vqflQDBgzgtddeo0aNGvj5+fG///2P+Ph4Y93soUOHcurUKT777DMAevXqxcyZMxkwYABvvPEGO3fuZP78+SxevNios3nz5kyZMoWqVatSu3Ztfv/9d0aMGMErr7ySYcWYp0XBtsg/UNGiRTNMbvYox/4bRERE5HQTctT9no/7Bdt3Ly0mIiIi8rS1a9eOCxcuMGbMGBISEqhcuTKRkZGUKlUKgISEBOLj443ypUuXJjIykv79+/PJJ59QtGhRPv74Y2PZL4Dhw4djMpkYPnw4p06dolChQjRv3pwPP/zwqV9fOo3ZFhGRDDRmW0SeVRqzLf9EOT1me9tPJ7N1zHZ97xI58jvDP53GbIuIiIiIiIhkMXUjFxEREREReZ49hXW2JSNltkVERERERESymDLbIiIiIiIizzEltnOGMtsiIiIiIiIiWUyZbRER+UfRTMIiIiJZ65+2zva/hTLbIiIiIiIiIllMmW0REREREZHnmPn//suuuiVzymyLiIiIiIiIZDFltkVERERERJ5nmo48RyizLSIiIiIiIpLFlNkWERERERF5jimxnTOU2RYRERERERHJYspsi4jIc6twjW453QQRecrO7g3P6SaI/PNk4zrbSm3fmzLbIiIiIiIiIllMmW0REREREZHnmNbZzhnKbIuIiIiIiIhkMWW2RUREREREnmeajjxHKLMtIiIiIiIiksWU2RYREREREXmOKbGdM5TZFhEREREREcliymyLiIiIiIg8x9Iwk5ZNC22nKbd9T8psi4iIiIiIiGQxBdv/IGazmZ49e+Li4oLJZCI2Njanm5Qpf39/+vXrl9PNeKBnpZ2SPSIiIsiXL19ON8PC1q1bMZlMXL58OaebIiIiIv8i5mx+SeYUbP+DrFu3joiICNasWUNCQgKVK1d+rHqCg4Np2bJl1jbuGbRy5UpCQ0NzuhnPtOjoaKysrAgMDMzppuSYrPzSpk6dOiQkJODs7Jwl9YmIiIjIP5eC7X+Qo0eP4ubmRp06dXB1dSV3bg2pfxIuLi44Ojrec39ycvJTbM2zacGCBfTt25cdO3YQHx+f080BIDU1lbS0tJxuxiO7desW1tbWuLq6YjKZcro5IiIi8i9iNmfvSzKnYPsfIjg4mL59+xIfH4/JZMLd3T3bzjVlyhS8vb2xt7enRIkS9O7dm6SkJIsyUVFR1K9fHzs7O/Lnz09AQACXLl0y9qelpTF48GBcXFxwdXVl1KhRFsebTCbmzZtHq1atsLOzo1y5cqxevdqizLZt26hVqxY2Nja4ubnx/vvvk5KSYuxfsWIF3t7e2NraUqBAARo3bszVq1eB/5+9Hz16NIULF8bJyYk333zTIoC+OyPp7u7O2LFjCQ4OxtnZmTfeeAOAIUOG4OnpiZ2dHWXKlGHEiBHcunXLoq2rV6+mRo0a5M2bl4IFC9K6dWtjX3JyMoMHD6ZYsWLY29tTu3Zttm7dauy/cOECHTp0oHjx4tjZ2eHt7c3ixYst6jebzUyaNIkyZcpga2uLj48PK1asuNdHCEBKSgrvvPMO+fLlo0CBAgwZMoSuXbtmWa+Gq1evsmzZMt566y1efvllIiIiLPand4netGkTNWrUwM7Ojjp16vDrr78aZY4ePUqLFi0oUqQIDg4O1KxZk40bN1rU86D7l94dfM2aNVSsWBEbGxtOnDjBpUuX6NKlC/nz58fOzo6mTZty5MiRDNfx9ddf4+npSd68eXnppZc4efKksS+zXiD9+vXD39/f2L9t2zamT5+OyWTCZDJx7NgxPDw8mDx5ssVxhw4dIleuXBw9ehS4/TMwZ84cWrRogb29PWPHjs20G/n9ftbc3d2ZNm2axXl8fX0tft5MJhNz587l5Zdfxs7ODi8vL3bu3Mnvv/+Ov78/9vb2+Pn5Ge0SERERkadDwfY/xPTp0xkzZgzFixcnISGBPXv2ZNu5cuXKxccff8yhQ4dYuHAhmzdvZvDgwcb+2NhYGjVqRKVKldi5cyc7duygefPmpKamGmUWLlyIvb09MTExTJo0iTFjxrBhwwaL84wePZq2bdty8OBBgoKC6NSpExcvXgTg1KlTBAUFUbNmTQ4cOMDs2bOZP38+Y8eOBSAhIYEOHTrQvXt3Dh8+zNatW2ndujXmO74627RpE4cPH2bLli0sXryYVatWMXr06Pte+0cffUTlypXZt28fI0aMAMDR0ZGIiAji4uKYPn06n376KVOnTjWOWbt2La1bt6ZZs2bs37/fCC7TdevWjaioKJYsWcLBgwdp06YNgYGBRuB348YNqlevzpo1azh06BA9e/bktddeIyYmxqhj+PDhhIeHM3v2bH7++Wf69+9P586d2bZtm1HG3d3dIsiaOHEiixYtIjw8nKioKBITE/n666/ve/2PYunSpZQvX57y5cvTuXNnwsPDLe5/umHDhhEWFsbevXvJnTs33bt3N/YlJSURFBTExo0b2b9/PwEBATRv3twiS/6g+wdw7do1xo8fz7x58/j5558pXLgwwcHB7N27l9WrV7Nz507MZjNBQUEWX5Rcu3aNDz/8kIULFxr3qH379g99D6ZPn46fnx9vvPEGCQkJJCQkULJkSbp37054eLhF2QULFvDiiy9StmxZY1tISAgtWrTgp59+srgv6R7mZ+1hhIaG0qVLF2JjY6lQoQIdO3bkzTffZOjQoezduxeAPn36PFKdIiIi8vwwZ/N/kjn1U/6HcHZ2xtHRESsrK1xdXbP1XHdme0uXLk1oaChvvfUWs2bNAmDSpEnUqFHDeA9QqVIlizqqVKlCSEgIAOXKlWPmzJls2rSJl156ySgTHBxMhw4dABg3bhwzZsxg9+7dBAYGMmvWLEqUKMHMmTMxmUxUqFCB06dPM2TIEEaOHElCQgIpKSm0bt2aUqVKAeDt7W3RBmtraxYsWICdnR2VKlVizJgxvPfee4SGhpIrV+bfIzVs2JBBgwZZbBs+fLjxZ3d3dwYOHMjSpUuNLyA+/PBD2rdvbxHI+/j4ALczt4sXL+bPP/+kaNGiAAwaNIh169YRHh7OuHHjKFasmMU5+/bty7p161i+fDm1a9fm6tWrTJkyhc2bN+Pn5wdAmTJl2LFjB3PnzqV+/foAlC1bloIFCxr1zJgxg6FDh9KqVSsAZs6cSWRkZKbX/Tjmz59P586dAQgMDCQpKYlNmzbRuHFji3Iffvih0cb333+fZs2acePGDfLmzYuPj49xrwDGjh3LqlWrWL16NX369Hmo+we3u2DPmjXLqOvIkSOsXr2aqKgo6tSpA8CiRYsoUaIEX3/9NW3atDGOmzlzJrVr1wZuf0nk5eXF7t27qVWr1gPvgbOzM9bW1tjZ2Vn8XHbr1o2RI0ca9dy6dYsvvviCjz76yOL4jh07WgTZx44ds9j/MD9rD6Nbt260bdsWuN1Tw8/PjxEjRhAQEADAu+++S7du3e5bx82bN7l586bxPjEx8ZHbISIiIiL/n4Ltf6EtW7Ywbtw44uLiSExMJCUlhRs3bnD16lXs7e2JjY01gpV7qVKlisV7Nzc3zp49e88y9vb2ODo6GmUOHz6Mn5+fxdjVunXrkpSUxJ9//omPjw+NGjXC29ubgIAAmjRpwquvvkr+/PmN8j4+PtjZ2Rnv/fz8SEpK4uTJk0aAfrc7M9LpVqxYwbRp0/j9999JSkoiJSUFJycnY39sbKzR5fxuP/74I2azGU9PT4vtN2/epECBAsDtMcYTJkxg6dKlnDp1yghq7O3tAYiLi+PGjRsWX1TA7e7VVatWNd5v2rTJ+POVK1f466+/LAJGKysrqlevniXjmX/99Vd2797NypUrAcidOzft2rVjwYIFGYLtOz9nNzc3AM6ePUvJkiW5evUqo0ePZs2aNZw+fZqUlBSuX79uZLYf5v7B7S9W7jzP4cOHyZ07txFEAxQoUIDy5ctz+PBhY1vu3LktPvMKFSqQL18+Dh8+/FDB9r24ubnRrFkzFixYQK1atVizZg03btzI8HOT2fN2p4f5WXsYd96bIkWKAJZfThUpUoQbN26QmJho8Wzfafz48Q/sGSIiIiLPpjTz7Vd21S2ZU7D9L3PixAmCgoLo1asXoaGhuLi4sGPHDnr06GF0v7W1tX1gPXny5LF4bzKZMgR59ytjNpszTBKV3kXZZDJhZWXFhg0biI6OZv369cyYMYNhw4YRExND6dKl79u2+00+lR7gptu1a5eRtQ4ICMDZ2ZklS5YQFhZmlLnf/UhLS8PKyop9+/ZhZWVlsc/BwQGAsLAwpk6dyrRp04yx8v369TPGl6ffk7Vr11KsWDGLOmxsbB7pWjPr5v045s+fT0pKikV7zGYzefLk4dKlSxZfetz5Oae3J/2a3nvvPb7//nsmT56Mh4cHtra2vPrqqxbX/qD7B7c/gzuv9V7XmdlzldnzkL4tV65cGeq6e7z+vbz++uu89tprTJ06lfDwcNq1a2fx5Q9kfN7u9qCftYdtX2afwf0+l8wMHTqUAQMGGO8TExMpUaLEfdsnIiIiIvemMdv/Mnv37iUlJYWwsDBeeOEFPD09OX36tEWZKlWqWGRRs0PFihWJjo62CCSio6NxdHQ0AjyTyUTdunUZPXo0+/fvx9ramlWrVhnlDxw4wPXr1433u3btwsHBgeLFiz90O6KioihVqhTDhg2jRo0alCtXjhMnTliUud/9qFq1KqmpqZw9exYPDw+LV3q34+3bt9OiRQs6d+6Mj48PZcqUsRiPnD7pV3x8fIY67hXsODs7U6RIEXbv3m1sS01NZf/+/Q997feSkpLCZ599RlhYGLGxscbrwIEDlCpVikWLFj10Xdu3byc4OJhWrVrh7e2Nq6srx48fN/Y/zP3LTMWKFUlJSbEY937hwgV+++03vLy8LK4lfcwy3M7YX758mQoVKgBQqFAhEhISLOq+e317a2vrTMdQBwUFYW9vz+zZs/nuu+8yHZP9IA/6Wbu7fYmJiRm6omcVGxsbnJycLF4iIiLyfLi9HrZGbD9tCrafU1euXLEIlGJjY4mPj6ds2bKkpKQwY8YM/vjjDz7//HPmzJljcezQoUPZs2cPvXv35uDBg/zyyy/Mnj2b8+fPZ1n7evfuzcmTJ+nbty+//PIL33zzDSEhIQwYMIBcuXIRExPDuHHj2Lt3L/Hx8axcuZJz585ZBFLJycn06NGDuLg4vvvuO0JCQujTp889x2tnxsPDg/j4eJYsWcLRo0f5+OOPLQJ6uD3J1eLFiwkJCeHw4cP89NNPTJo0CQBPT086depEly5dWLlyJceOHWPPnj1MnDjRGD/t4eFhZOkPHz7Mm2++yZkzZ4z6HR0dGTRoEP3792fhwoUcPXqU/fv388knn7Bw4cJ7tr1v376MHz+eb775hl9//ZV3332XS5cuPfGyUmvWrOHSpUv06NGDypUrW7xeffVV5s+f/9B1eXh4sHLlSiNY79ixo0V29WHuX2bKlStHixYteOONN9ixYwcHDhygc+fOFCtWjBYtWhjl8uTJQ9++fYmJieHHH3+kW7duvPDCC0YX8oYNG7J3714+++wzjhw5QkhICIcOHbI4l7u7OzExMRw/fpzz588b7beysiI4OJihQ4fi4eFhjLd/FA/6WWvYsCGff/4527dv59ChQ3Tt2jVDDwARERER+WdSsP2c2rp1K1WrVrV4jRw5El9fX6ZMmcLEiROpXLkyixYtYvz48RbHenp6sn79eg4cOECtWrXw8/Pjm2++ydJ1v4sVK0ZkZCS7d+/Gx8eHXr160aNHD2OyMicnJ3744QeCgoLw9PRk+PDhhIWF0bRpU6OORo0aUa5cOerVq0fbtm1p3rx5hiXIHqRFixb079+fPn364OvrS3R0tDFLeTp/f3+WL1/O6tWr8fX1pWHDhhYZ1fDwcLp06cLAgQMpX748r7zyCjExMUZWesSIEVSrVo2AgAD8/f1xdXXNsNxUaGgoI0eOZPz48Xh5eREQEMC3335r0WX+7tnIhwwZQocOHejSpQt+fn44ODgQEBBA3rx5H+ke3G3+/Pk0btwYZ2fnDPv++9//Ehsby48//vhQdU2dOpX8+fNTp04dmjdvTkBAANWqVbMo86D7dy/h4eFUr16dl19+GT8/P8xmM5GRkRbdp+3s7BgyZAgdO3bEz88PW1tblixZYuwPCAhgxIgRDB48mJo1a/L333/TpUsXi/MMGjQIKysrKlasSKFChSxmUu/RowfJycmPldWGB/+sDR06lHr16vHyyy8TFBREy5YtLWY7FxEREXkYWmc7Z5jMWTXIU+QpCg4O5vLly1m61NU/2fXr13FxcSEyMpIGDRpkWiYtLQ0vLy/atm1LaGjoU27hv1NUVBT+/v78+eefxsRkz4vExEScnZ25cuXKM92lvHCN+8/CLiLPn7N7wx9cSOQpy6l/V9PPu3rPMewdHLPlHFeT/uaVmqWf+d8ZsoMmSBN5Bmzbto2GDRtaBNonTpxg/fr11K9fn5s3bzJz5kyOHTtGx44dc7Cl/w43b97k5MmTjBgxgrZt2z53gbaIiIg8X7JzdLVGbd+bgu1/oPj4eCpWrJjpvmvXrgFkmPU4XVxcHCVLlsy2tknOCAwMJDAw0GJbrly5iIiIYNCgQZjNZipXrszGjRvx8vLSM5TNFi9eTI8ePfD19eXzzz/P6eaIiIiIyD+QupH/A6WkpFjM2Pwo3N3ds3RstTyb9AzJk1I3chF5VqkbufwT5XQ38lW7/8jWbuStapV55n9nyA76jfofKHfu3Hh4eOR0M+QZpmdIRERERCRnKdgWERERERF5jmnMds7Q0l8iIiIiIiIiWUyZbRERERERkedYdq6HrRnA7k2ZbREREREREZEspsy2iIiIiIjIc0yZ7ZyhYFtERJ5bWgJIREREcoqCbRERERERkeeYGTNpmo38qdOYbREREREREZEspsy2iIiIiIjIc0xjtnOGMtsiIiIiIiIiWUyZbRERERERkeeY+f/+y666JXPKbIuIiIiIiIhkMWW2RUREREREnmMas50zFGyLiMi/SuEa3XK6CSKSjc7uDc/pJoiIAAq2RUREREREnmtp2bjOdnbV+zzQmG0RERERERGRLKbMtoiIiIiIyHNMY7ZzhjLbIiIiIiIiIllMmW0REREREZHnmPn/XtlVt2ROwbaIiIiIiMhzzGw2Y86m/t7ZVe/zQN3IRURERERERLKYMtsiIiIiIiLPsbT/e2VX3ZI5ZbZFREREREREspiCbXkmmM1mevbsiYuLCyaTidjY2JxuUqb8/f3p169fTjfjgZ6Vdj6rjh8//tSe04iICPLly5ft5xEREZFnV/qY7ex6SeYUbMszYd26dURERLBmzRoSEhKoXLnyY9UTHBxMy5Yts7Zxz6CVK1cSGhqa0814JgUHB2MymYxXgQIFCAwM5ODBg9l+bnd3d6ZNm2axrV27dvz222/Zfm4REREReTQKtuWZcPToUdzc3KhTpw6urq7kzq3pBp6Ei4sLjo6O99yfnJz8FFvz7AkMDCQhIYGEhAQ2bdpE7ty5efnll3OkLba2thQuXDhHzi0iIiLPBnM2vyRzCrblHy84OJi+ffsSHx+PyWTC3d092841ZcoUvL29sbe3p0SJEvTu3ZukpCSLMlFRUdSvXx87Ozvy589PQEAAly5dMvanpaUxePBgXFxccHV1ZdSoURbHm0wm5s2bR6tWrbCzs6NcuXKsXr3aosy2bduoVasWNjY2uLm58f7775OSkmLsX7FiBd7e3tja2lKgQAEaN27M1atXgf+fvR89ejSFCxfGycmJN9980yKAvrsbubu7O2PHjiU4OBhnZ2feeOMNAIYMGYKnpyd2dnaUKVOGESNGcOvWLYu2rl69mho1apA3b14KFixI69atjX3JyckMHjyYYsWKYW9vT+3atdm6daux/8KFC3To0IHixYtjZ2eHt7c3ixcvtqjfbDYzadIkypQpg62tLT4+PqxYseJeHyEAKSkpvPPOO+TLl48CBQowZMgQunbtmmW9GmxsbHB1dcXV1RVfX1+GDBnCyZMnOXfuXKblU1NT6dGjB6VLl8bW1pby5cszffp0izKZde1v2bIlwcHBxv4TJ07Qv39/I6sOGbuRHz16lBYtWlCkSBEcHByoWbMmGzduzJLrFhEREZGHp2Bb/vGmT5/OmDFjKF68OAkJCezZsyfbzpUrVy4+/vhjDh06xMKFC9m8eTODBw829sfGxtKoUSMqVarEzp072bFjB82bNyc1NdUos3DhQuzt7YmJiWHSpEmMGTOGDRs2WJxn9OjRtG3bloMHDxIUFESnTp24ePEiAKdOnSIoKIiaNWty4MABZs+ezfz58xk7diwACQkJdOjQge7du3P48GG2bt1K69atLcbLbNq0icOHD7NlyxYWL17MqlWrGD169H2v/aOPPqJy5crs27ePESNGAODo6EhERARxcXFMnz6dTz/9lKlTpxrHrF27ltatW9OsWTP279/Ppk2bqFGjhrG/W7duREVFsWTJEg4ePEibNm0IDAzkyJEjANy4cYPq1auzZs0aDh06RM+ePXnttdeIiYkx6hg+fDjh4eHMnj2bn3/+mf79+9O5c2e2bdtmlHF3d7f4UmPixIksWrSI8PBwoqKiSExM5Ouvv77v9T+upKQkFi1ahIeHBwUKFMi0TFpaGsWLF2fZsmXExcUxcuRIPvjgA5YtW/bQ51m5ciXFixdnzJgxRlb9Xu0JCgpi48aN7N+/n4CAAJo3b058fPxjXZ+IiIg8+zRmO2eoL6784zk7O+Po6IiVlRWurq7Zeq47M4ulS5cmNDSUt956i1mzZgEwadIkatSoYbwHqFSpkkUdVapUISQkBIBy5coxc+ZMNm3axEsvvWSUCQ4OpkOHDgCMGzeOGTNmsHv3bgIDA5k1axYlSpRg5syZmEwmKlSowOnTpxkyZAgjR44kISGBlJQUWrduTalSpQDw9va2aIO1tTULFizAzs6OSpUqMWbMGN577z1CQ0PJlSvz79gaNmzIoEGDLLYNHz7c+LO7uzsDBw5k6dKlxhcQH374Ie3bt7cI5H18fIDbGdbFixfz559/UrRoUQAGDRrEunXrCA8PZ9y4cRQrVszinH379mXdunUsX76c2rVrc/XqVaZMmcLmzZvx8/MDoEyZMuzYsYO5c+dSv359AMqWLUvBggWNembMmMHQoUNp1aoVADNnziQyMjLT634ca9aswcHBAYCrV6/i5ubGmjVr7nlv8+TJY3GPSpcuTXR0NMuWLaNt27YPdU4XFxesrKxwdHS878+Bj4+P8RkAjB07llWrVrF69Wr69Olzz+Nu3rzJzZs3jfeJiYkP1S4RERERyZyCbZE7bNmyhXHjxhEXF0diYiIpKSncuHGDq1evYm9vT2xsLG3atLlvHVWqVLF47+bmxtmzZ+9Zxt7eHkdHR6PM4cOH8fPzM7oJA9StW5ekpCT+/PNPfHx8aNSoEd7e3gQEBNCkSRNeffVV8ufPb5T38fHBzs7OeO/n50dSUhInT540AvS73ZmRTrdixQqmTZvG77//TlJSEikpKTg5ORn7Y2NjjS7nd/vxxx8xm814enpabL9586aRAU5NTWXChAksXbqUU6dOGQGfvb09AHFxcdy4ccPiiwq43T29atWqxvtNmzYZf75y5Qp//fUXtWrVMrZZWVlRvXp10tKyZiXIBg0aMHv2bAAuXrzIrFmzaNq0Kbt3777n/Z0zZw7z5s3jxIkTXL9+neTkZHx9fbOkPXe6evUqo0ePZs2aNZw+fZqUlBSuX7/+wMz2+PHjH9j7QURERJ5NWmc7ZyjYFvk/J06cICgoiF69ehEaGoqLiws7duygR48exjhlW1vbB9aTJ08ei/cmkylDkHe/Mmaz2SLQTt+WXs7KyooNGzYQHR3N+vXrmTFjBsOGDSMmJobSpUvft21313un9AA33a5du4ysdUBAAM7OzixZsoSwsDCjzP3uR1paGlZWVuzbtw8rKyuLfelZ4bCwMKZOncq0adOMsfL9+vUzxpen35O1a9dSrFgxizpsbGwe6VqzsouTvb09Hh4exvvq1avj7OzMp59+anT3v9OyZcvo378/YWFh+Pn54ejoyEcffWTRXT5XrlwZ2nj3+PiH8d577/H9998zefJkPDw8sLW15dVXX33gpHdDhw5lwIABxvvExERKlCjxyOcXERERkdsUbIv8n71795KSkkJYWJjRHfjuMbVVqlRh06ZN2ZoBrFixIl999ZVF0B0dHY2jo6MRcJpMJurWrUvdunUZOXIkpUqVYtWqVUawdODAAa5fv24Ew7t27cLBwYHixYs/dDuioqIoVaoUw4YNM7adOHHCokz6/ejWrVuG46tWrUpqaipnz57lxRdfzPQc27dvp0WLFnTu3Bm4HVwfOXIELy8v417Y2NgQHx9vdBl/EGdnZ4oUKcLu3buN86amprJ///5sySTD7c8jV65cXL9+PdP927dvp06dOvTu3dvYdvToUYsyhQoVshiHnZqayqFDh2jQoIGxzdra2mJ+gHudKzg42OhCn5SUxPHjxx94DTY2Ng/8AkNERESeTdk5tlpjtu9Nwbb861y5coXY2FiLbS4uLpQtW5aUlBRmzJhB8+bNiYqKYs6cORblhg4dire3N71796ZXr15YW1uzZcsW2rRpYzFm+En07t2badOm0bdvX/r06cOvv/5KSEgIAwYMIFeuXMTExLBp0yaaNGlC4cKFiYmJ4dy5c0aACre7Wffo0YPhw4dz4sQJQkJC6NOnzz3HFGfGw8OD+Ph4lixZQs2aNVm7di2rVq2yKBMSEkKjRo0oW7Ys7du3JyUlhe+++47Bgwfj6elJp06d6NKlC2FhYVStWpXz58+zefNmvL29CQoKwsPDg6+++oro6Gjy58/PlClTOHPmjHEtjo6ODBo0iP79+5OWlsZ//vMfEhMTiY6OxsHBga5du2ba9r59+zJ+/Hg8PDyoUKECM2bM4NKlS/fN7D+KmzdvcubMGQAuXbrEzJkzSUpKonnz5ve8l5999hnff/89pUuX5vPPP2fPnj0WPREaNmzIgAEDWLt2LWXLlmXq1KlcvnzZoh53d3d++OEH2rdvj42NTabPnIeHBytXrqR58+aYTCZGjBiRZd3nRUREROThaTZy+dfZunUrVatWtXiNHDkSX19fpkyZwsSJE6lcuTKLFi1i/PjxFsd6enqyfv16Dhw4QK1atfDz8+Obb77J0nW/ixUrRmRkJLt378bHx4devXoZgTOAk5MTP/zwA0FBQXh6ejJ8+HDCwsJo2rSpUUejRo0oV64c9erVo23btjRv3jzDEmQP0qJFC/r370+fPn3w9fUlOjramKU8nb+/P8uXL2f16tX4+vrSsGFDi67R4eHhdOnShYEDB1K+fHleeeUVYmJijO7JI0aMoFq1agQEBODv74+rq2uG5blCQ0MZOXIk48ePx8vLi4CAAL799luLQPXu2ciHDBlChw4d6NKlC35+fjg4OBAQEEDevHkf6R7cy7p163Bzc8PNzY3atWuzZ88eli9fjr+/f6ble/XqRevWrWnXrh21a9fmwoULFllugO7du9O1a1e6dOlC/fr1KV26tEVWG2DMmDEcP36csmXLUqhQoUzPNXXqVPLnz0+dOnVo3rw5AQEBVKtWLUuuW0RERJ5NZnP2viRzJrPy/iLPleDgYC5fvpxtS13901y/fh0XFxciIyMzBKfp0tLS8PLyom3btoSGhj7lFj6bEhMTcXZ25sqVKxaT4j0PCtfIOOxBRJ4fZ/eG53QTRDLIqX9X08/7v61x2Dk4Zss5riX9TU//is/l7wxPSt3IReSZtm3bNho2bGgRaJ84cYL169dTv359bt68ycyZMzl27BgdO3bMwZaKiIiI5BxlWJ8+BdvyTImPj6dixYqZ7rt27RqAxZJXd4qLi6NkyZLZ1jbJGYGBgQQGBlpsy5UrFxEREQwaNAiz2UzlypXZuHEjXl5eeoZERERE5KlQsC3PlKJFi2aY3OxRjv03iIiIyOkm5LgSJUoQFRWV6T49QyIiIvJvk2Y2k5ZNo4ezq97ngYJteabkzp3bYn1jkUelZ0hEREREngYF2yIiIiIiIs8xM9k3Zlt57XvT0l8iIiIiIiIiWUyZbRERERERkeeY2Wwmu1Z81krS96bMtoiIiIiIiEgWU2ZbRERERETkOZb2f6/sqlsyp2BbRET+Vc7uDc/pJoiIiMi/gIJtERERERGR55jZfPuVXXVL5jRmW0RERERERCSLKbMtIiIiIiLyHEvDTFo2paDTtNL2PSmzLSIiIiIiIpLFlNkWERERERF5jmnMds5QZltEREREREQkiynYFhEREREReY6lmc3Z+nocs2bNonTp0uTNm5fq1auzffv2+5bftm0b1atXJ2/evJQpU4Y5c+ZkKHP58mXefvtt3NzcyJs3L15eXkRGRj5W+7KCupGLiIhkgcIv9MzpJogIcHbX/3K6CSLyAEuXLqVfv37MmjWLunXrMnfuXJo2bUpcXBwlS5bMUP7YsWMEBQXxxhtv8MUXXxAVFUXv3r0pVKgQ//3vfwFITk7mpZdeonDhwqxYsYLixYtz8uRJHB0dn/blGRRsi4iIiIiIPMfSzLdf2VX3o5oyZQo9evTg9ddfB2DatGl8//33zJ49m/Hjx2coP2fOHEqWLMm0adMA8PLyYu/evUyePNkIthcsWMDFixeJjo4mT548AJQqVerxLiqLqBu5iIiIiIiIPBXJycns27ePJk2aWGxv0qQJ0dHRmR6zc+fODOUDAgLYu3cvt27dAmD16tX4+fnx9ttvU6RIESpXrsy4ceNITU3Nngt5CMpsi4iIiIiIPMeexmzkiYmJFtttbGywsbHJUP78+fOkpqZSpEgRi+1FihThzJkzmZ7jzJkzmZZPSUnh/PnzuLm58ccff7B582Y6depEZGQkR44c4e233yYlJYWRI0c+wRU+PmW2RURERERE5ImUKFECZ2dn45VZd/A7mUwmi/dmsznDtgeVv3N7WloahQsX5n//+x/Vq1enffv2DBs2jNmzZz/O5WQJZbZFRERERESeY2mYSSN7Utvp9Z48eRInJydje2ZZbYCCBQtiZWWVIYt99uzZDNnrdK6urpmWz507NwUKFADAzc2NPHnyYGVlZZTx8vLizJkzJCcnY21t/egX94SU2RYREREREZEn4uTkZPG6V7BtbW1N9erV2bBhg8X2DRs2UKdOnUyP8fPzy1B+/fr11KhRw5gMrW7duvz++++kpaUZZX777Tfc3NxyJNAGBdsiIiIiIiLPN/P/H7ed1a/HSZgPGDCAefPmsWDBAg4fPkz//v2Jj4+nV69eAAwdOpQuXboY5Xv16sWJEycYMGAAhw8fZsGCBcyfP59BgwYZZd566y0uXLjAu+++y2+//cbatWsZN24cb7/99pPevcembuQiIiIiIiLy1LRr144LFy4wZswYEhISqFy5MpGRkcZSXQkJCcTHxxvlS5cuTWRkJP379+eTTz6haNGifPzxx8ayX3B7zPj69evp378/VapUoVixYrz77rsMGTLkqV9fOpPZnF3z0omIyLMqMTERZ2dnrly5YjH+Su6t8As9c7oJIgKc3fW/nG6CSAY59e9q+nnHf3eAvPaO2XKOG1f/ZmhTH/3OkAl1I5fHYjab6dmzJy4uLphMJmJjY3OsLVu3bsVkMnH58uUca8OjioiIIF++fI90jLu7O9OmTcuW9sij8ff3p1+/fsZ7fTYiIiIicjcF2/JY1q1bR0REBGvWrDG6fjyO4OBgTCZThldgYGAWt/jJHD9+PEu/VGjXrh2//fZbltT1LLg7OH3WrVy5ktDQ0Kd6zuftHoqIiMjTk2Y2Z+tLMqcx2/JYjh49ipub2z1nDHwUgYGBhIeHW2y71+yFz4Nbt25ha2uLra1tTjdFHpOLi0tON+Gx5dTSFyIiIiL/NspsyyMLDg6mb9++xMfHYzKZcHd3f6L6bGxscHV1tXjlz58fyDyjfPnyZUwmE1u3brWoJyoqCh8fH/LmzUvt2rX56aefjH0XLlygQ4cOFC9eHDs7O7y9vVm8eLHF8WlpaUycOBEPDw9sbGwoWbIkH374IXB7UgaAqlWrYjKZ8Pf3N44LDw/Hy8uLvHnzUqFCBWbNmmXsS2//smXL8Pf3J2/evHzxxRcZupEfPXqUFi1aUKRIERwcHKhZsyYbN2687327cuUKPXv2pHDhwjg5OdGwYUMOHDhg7D9w4AANGjTA0dERJycnqlevzt69e+9Z399//02nTp2wt7fHzc2NqVOnPrVs6pAhQ/D09MTOzo4yZcowYsQIbt26Bdy+TisrK/bt2wfcHsLg4uJCzZo1jeMXL16Mm5sbcDuY7NOnD25ubuTNmxd3d3fGjx9vlI2Pj6dFixY4ODjg5ORE27Zt+euvv4z9o0aNwtfXl88//xx3d3ecnZ1p3749f//9t1Ems/vy999/07FjRxwcHChatCgzZsyw2D9lyhS8vb2xt7enRIkS9O7dm6SkJIsyUVFR1K9fHzs7O/Lnz09AQACXLl0iODiYbdu2MX36dKP3x/HjxwGIi4sjKCgIBwcHihQpwmuvvcb58+ct2tqnTx8GDBhAwYIFeemllx714xEREZFnXHbNRG7MSC6ZUrAtj2z69OmMGTOG4sWLk5CQwJ49e3K6SQC89957TJ48mT179lC4cGFeeeUVI2C7ceMG1atXZ82aNRw6dIiePXvy2muvERMTYxw/dOhQJk6cyIgRI4iLi+PLL7+kSJEiAOzevRuAjRs3kpCQwMqVKwH49NNPGTZsGB9++CGHDx9m3LhxjBgxgoULF1q0bciQIbzzzjscPnyYgICADG1PSkoiKCiIjRs3sn//fgICAmjevLnFLIx3MpvNNGvWjDNnzhAZGcm+ffuoVq0ajRo14uLFiwB06tSJ4sWLs2fPHvbt28f7779vrEMIYDKZiIiIMN4PGDCAqKgoVq9ezYYNG9i+fTs//vjjo34Mj8XR0ZGIiAji4uKYPn06n376KVOnTgXA2dkZX19f48uVgwcPGv9PTEwEbo/br1+/PgAff/wxq1evZtmyZfz666988cUXxhdCZrOZli1bcvHiRbZt28aGDRs4evQo7dq1s2jP0aNH+frrr1mzZg1r1qxh27ZtTJgw4b7X8NFHH1GlShV+/PFHhg4dSv/+/S3Wg8yVKxcff/wxhw4dYuHChWzevJnBgwcb+2NjY2nUqBGVKlVi586d7Nixg+bNm5Oamsr06dPx8/PjjTfeICEhgYSEBEqUKEFCQgL169fH19eXvXv3sm7dOv766y/atm1r0baFCxeSO3duoqKimDt37iN+OiIiIiLyONSNXB6Zs7Mzjo6OWFlZ4erq+sT1rVmzBgcHB4ttQ4YMYcSIEY9UT0hIiJG1W7hwIcWLF2fVqlW0bduWYsWKWazD17dvX9atW8fy5cupXbs2f//9N9OnT2fmzJl07doVgLJly/Kf//wHgEKFCgFQoEABi2sODQ0lLCyM1q1bA7cz4HFxccydO9eoB6Bfv35Gmcz4+Pjg4+NjvB87diyrVq1i9erV9OnTJ0P5LVu28NNPP3H27Fmjy/3kyZP5+uuvWbFiBT179iQ+Pp733nuPChUqAFCuXDmLOsqXL4+zszNwOyu7cOFCvvzySxo1agTcztgXLVr03jc8Cw0fPtz4s7u7OwMHDmTp0qVGMOrv78/WrVsZOHAgW7dupVGjRvzxxx/s2LGDoKAgtm7dSv/+/YHbmety5crxn//8B5PJZCwhAbe/LDl48CDHjh2jRIkSAHz++edUqlSJPXv2GNnytLQ0IiIicHS8PWvna6+9xqZNm4yeDpmpW7cu77//PgCenp5ERUUxdepU45m8MxNeunRpQkNDeeutt4yeEJMmTaJGjRoWPSMqVapk/Nna2ho7OzuL52/27NlUq1aNcePGGdsWLFhAiRIl+O233/D09ATAw8ODSZMm3fczuHnzJjdv3jTep3+RISIiIs++NPPtV3bVLZlTsC05rkGDBsyePdti2+OMifXz87M4vnz58hw+fBiA1NRUJkyYwNKlSzl16pQRWNjb2wNw+PBhbt68aQSaD+PcuXOcPHmSHj168MYbbxjbU1JSjCA2XY0aNe5b19WrVxk9ejRr1qzh9OnTpKSkcP369Xtmtvft20dSUhIFChSw2H79+nWOHj0K3M5Uv/7663z++ec0btyYNm3aULZsWaPsL7/8Yvz5jz/+4NatW9SqVcvY5uzsTPny5R9wF7LGihUrmDZtGr///jtJSUmkpKRYLB3h7+/P/PnzSUtLY9u2bTRq1IiSJUuybds2qlWrxm+//WZktoODg3nppZcoX748gYGBvPzyyzRp0gS4/TmXKFHCCLQBKlasSL58+Th8+LARbLu7uxuBNoCbmxtnz5697zXc+fylv79zhvItW7Ywbtw44uLiSExMJCUlhRs3bnD16lXs7e2JjY2lTZs2j3Tf9u3bx5YtWzJ8WQW3s/PpwfaDnj+A8ePHM3r06Ec6v4iIiIjcm4JtyXH29vZ4eHhkui9XrtsjHe5cDj69a/jDMJlMAISFhTF16lSmTZtmjJvt168fycnJAI81WVlaWhpwuyt57dq1LfZZWVlZvE8P6u/lvffe4/vvv2fy5Ml4eHhga2vLq6++arQvs3O7ubllGLcOGGPBR40aRceOHVm7di3fffcdISEhLFmyhFatWmU4Jv3+pt+vu7dnp127dtG+fXtGjx5NQEAAzs7OLFmyhLCwMKNMvXr1+Pvvv/nxxx/Zvn07oaGhlChRgnHjxuHr60vhwoXx8vICoFq1ahw7dozvvvuOjRs30rZtWxo3bsyKFSswm80ZrjH9Ou/cfmd3e7h9X9I/70eRXueJEycICgqiV69ehIaG4uLiwo4dO+jRo4fxPD/uM9i8eXMmTpyYYV/6GHZ48PMHt4dRDBgwwHifmJho8aWEiIiIPLvMZnO2/V73NH5ffFYp2JZ/tPTu2wkJCVStWhXgnstv7dq1i5IlSwJw6dIlfvvtN6ML9fbt22nRogWdO3cGbgcpR44cMQK0cuXKYWtry6ZNm3j99dcz1J0+e3NqaqqxrUiRIhQrVow//viDTp06PdF1bt++neDgYCMQTkpKMibAyky1atU4c+YMuXPnvu8EdZ6ennh6etK/f386dOhAeHh4psF22bJlyZMnD7t37zYCrMTERI4cOWJkjLNLVFQUpUqVYtiwYca2EydOWJRJH7c9c+ZMTCYTFStWpGjRouzfv581a9ZkaKOTkxPt2rWjXbt2vPrqqwQGBnLx4kUqVqxIfHw8J0+eNK4zLi6OK1euGM/C49q1a1eG9+nP3969e0lJSSEsLMz4AmnZsmUW5atUqcKmTZvumV22tra2eP7g9nPw1Vdf4e7uTu7cT/bXuY2NzXO9CoCIiIjI06ZgW3LczZs3OXPmjMW23LlzU7BgQWxtbXnhhReYMGEC7u7unD9/3mJ8753GjBlDgQIFKFKkCMOGDaNgwYK0bNkSuD1m9auvviI6Opr8+fMzZcoUzpw5YwRYefPmZciQIQwePBhra2vq1q3LuXPn+Pnnn+nRoweFCxfG1taWdevWUbx4cfLmzYuzszOjRo3inXfewcnJiaZNm3Lz5k327t3LpUuXLLKED+Lh4cHKlStp3rw5JpOJESNG3DeT2rhxY/z8/GjZsiUTJ06kfPnynD59msjISFq2bEmlSpV47733ePXVVyldujR//vkne/bs4b///W+m9Tk6OtK1a1fee+89XFxcKFy4MCEhIeTKlSvTTPDjOHfuXIYvSlxdXfHw8CA+Pp4lS5ZQs2ZN1q5dy6pVqzIc7+/vz/Tp02nVqhUmk4n8+fNTsWJFli5dyscff2yUmzp1Km5ubvj6+pIrVy6WL1+Oq6sr+fLlo3HjxlSpUoVOnToxbdo0UlJS6N27N/Xr13+ortb3ExUVxaRJk2jZsiUbNmxg+fLlrF27Frj9ZUZKSgozZsygefPmREVFMWfOHIvjhw4dire3N71796ZXr15YW1uzZcsW2rRpQ8GCBXF3dycmJobjx4/j4OCAi4sLb7/9Np9++ikdOnTgvffeo2DBgvz+++8sWbKETz/9NEMPCxEREfl30pjtnKHZyCXHrVu3Djc3N4tX+sRkcHvCp1u3blGjRg3effddxo4dm2k9EyZM4N1336V69eokJCSwevVqIyM9YsQIqlWrRkBAAP7+/ri6uhqBeLoRI0YwcOBARo4ciZeXF+3atTPG6ebOnZuPP/6YuXPnUrRoUVq0aAHA66+/zrx584iIiMDb25v69esTERFhLBX2sKZOnUr+/PmpU6cOzZs3JyAggGrVqt2zvMlkIjIyknr16tG9e3c8PT1p3749x48fp0iRIlhZWXHhwgW6dOmCp6cnbdu2pWnTphZZ07tnI58yZQp+fn68/PLLNG7cmLp16xpLmmWFL7/8kqpVq1q85syZQ4sWLejfvz99+vTB19eX6OjoTCfHa9CgAampqRbLrtWvX5/U1FSLzLaDgwMTJ06kRo0a1KxZk+PHjxMZGWl8cfD111+TP39+6tWrR+PGjSlTpgxLly594usbOHAg+/bto2rVqsbEeekzz/v6+jJlyhQmTpxI5cqVWbRokcVyZHC7F8L69es5cOAAtWrVws/Pj2+++cbIWA8aNAgrKysqVqxIoUKFiI+Pp2jRokRFRZGamkpAQACVK1fm3XffxdnZ2cigi4iIiEjOMJnVyV7kX+f48eOUK1eOuLi4DLOUp7t69SrFihUjLCyMHj16POUWSk5LTEzE2dmZK1euWExWJ/dW+IWeOd0EEQHO7vpfTjdBJIOc+nc1/bwjvtlPXnvHBx/wGG5c/ZvQFlX1O0Mm1I1c5F9o3bp19OzZ0yLQ3r9/P7/88gu1atXiypUrjBkzBsDI4ouIiIiIyMNTsC1PJD4+nooVK2a679q1awDY2dlluj8uLs6Y0Eyerl69emW6ffLkyfz6669YW1tTvXp1tm/fTsGCBdm+fTtNmzbN9Jjr16/fdybtpP/H3p3H1ZT/fwB/3Up7UrRSkpRSWpCJQYQSpuw7YWQZ+1IMRfYtahjLGMpg7MuYZI0sZY1sxdBIloxl0BRKdX9/9O38XN32m0teT4/zeLhn+Zz3WW71Oe/P53PS02USMxERERGVjfh//yqqbJKOlW0qF2Nj40JHBy/JtvT5cHR0RFxcnNRljRs3LvQ6F1fZJiIiIiL6GrGyTeWipKRU6DuyqfJQU1PjdSYiIiL6QnE0cvngcLVEREREREREMsbMNhERERERUSUmFudNFVU2ScfMNhEREREREZGMMbNNRERERERUiYnFQG4FpaCZ2S4cM9tEREREREREMsbMNhERkQw8PfeLvEMgIiKSiqORl0xSUhLCwsKQlJSE0NBQ6Ovr49ChQzAxMUGDBg1KXR4z20RERERERPRVO3nyJOzs7HD+/Hns2bMH6enpAIBr165h5syZZSqTlW0iIiIiIqJKLH808oqaKoOpU6di7ty5OHr0KJSVlYX5rVu3xtmzZ8tUpkwq2zk5OYiPj8fLly9lURwRERERERHRJ3P9+nV06dKlwHw9PT28ePGiTGWWqbI9fvx4rF+/HkBeRbtVq1ZwcnKCiYkJoqOjyxQIERERERERyV4uxMgVV9CEypHarlatGlJTUwvMv3LlCmrWrFmmMstU2d61axfs7e0BAH/++Sfu3buHW7duYfz48Zg+fXqZAiEiIiIiIiKSh759+8Lf3x9PnjyBSCRCbm4uYmJiMHnyZAwcOLBMZZapsv38+XMYGhoCACIjI9GjRw9YWlpi6NChuH79epkCISIiIiIiItljn+3izZs3D6ampqhZsybS09NhY2ODli1bolmzZpgxY0aZyizTq78MDAyQkJAAIyMjHDp0CKtWrQIAvHnzBoqKimUKhIiIiIiIiEgeqlSpgi1btmD27Nm4cuUKcnNz4ejoiHr16pW5zDJVtgcPHoyePXvCyMgIIpEI7dq1AwCcP38e9evXL3MwREREXzr9b3zlHQLRV43vvCcqKPd/U0WVXZnUrVsXdevWlUlZZapsz5o1C7a2tnjw4AF69OgBFRUVAICioiKmTp0qk8CIiIiIiIiIPoUhQ4YUuXzDhg2lLrNMlW0A6N69e4F5gwYNKmtxREREREREVAHyRw6vqLIrg49fY/3+/XvcuHEDr169Qps2bcpUZpkq27Nnzy5yeWBgYJmCISIiIiIiIvrU9u7dW2Bebm4uRo0aBXNz8zKVWabK9seBvH//Hvfu3YOSkhLq1q3LyjYREREREdFnoiJHDa8kiW2pFBQUMGHCBLi6usLPz6/U25epsn3lypUC89LS0uDj44MuXbqUpUgiIiIiIiKiz0pSUhKys7PLtG2Z+2x/rGrVqpg9ezY6deqEAQMGyKpYIiIiIiIiKodccd5UUWVXBhMnTpT4LBaLkZqaigMHDpR5bDKZVbYB4NWrV3j9+rUsiyQiIiIiIiKqUB+33lZQUICenh6Cg4OLHam8MGWqbP/0008Sn/Nr/Zs2bYKHh0eZAiEiIiIiIiLZE4vFEFdQ5+qKKvdTO3HihMzLLFNle/ny5RKf82v9gwYNwrRp02QSGBEREREREdGXqkyV7Xv37sk6DiqCWCzG8OHDsWvXLrx8+RJXrlyBg4ODvMMqwNXVFQ4ODggJCZF3KEX6UuL82vj4+ODVq1fYt2+fvEMp1sf3kJmZGcaPH4/x48fLNS4iIiIiadhnWzpHR0eIRKISrXv58uVSly/TPttUMQ4dOoTw8HBER0fD3NwcNWrUKFM5X1JlpiLt2bMHVapUkXcYXyQfHx9s3LixwPw7d+7AwsKiXGWHhobKtBnSrFmzsG/fPsTHx8uszHzyuIf4kIiIiIhItry9vSu0/DJVtjMyMrBw4UJERUXh6dOnyM3NlVj+999/yyQ4ypOUlAQjIyM0a9ZM3qFUCrq6ukUuz8rKgrKy8ieK5svj4eGBsLAwiXl6enrlLldbW7vcZXwqxd1DnzPe30RERF8fcQVmtr/kLtszZ86s0PIVyrLR999/j/Xr16NFixYYPXo0xo0bJzGR7Pj4+GDMmDFISUmBSCSCmZlZhe1r2bJlsLOzg4aGBkxMTDBq1Cikp6dLrBMTE4NWrVpBXV0dOjo6cHd3x8uXL4Xlubm58PPzg66uLgwNDTFr1iyJ7UUiEX799Vd06dIF6urqqFevHvbv3y+xzsmTJ+Hs7AwVFRUYGRlh6tSpEu+227VrF+zs7KCmpobq1aujbdu2yMjIAJB3vry9vREUFAR9fX1UrVoVw4cPR1ZWlrC9q6urRHNfMzMzzJ07Fz4+PtDW1sawYcMAAP7+/rC0tIS6ujrMzc0REBCA9+/fS8S6f/9+NG7cGKqqqqhRowa6du0qLMvKyoKfnx9q1qwJDQ0NNG3aFNHR0cLyFy9eoE+fPqhVqxbU1dVhZ2eHrVu3SpQvFouxePFimJubQ01NDfb29ti1a1dhlxAAkJ2djbFjx6JatWqoXr06/P39MWjQIJk9uVNRUYGhoaHEpKioKJz7D40fPx6urq7C55Jcu3y5ublYtGgRLCwsoKKiAlNTU8ybN09YXtT1CQ8PR1BQEK5evQqRSASRSITw8HAAwOvXr+Hr6yvcH23atMHVq1eFcmfNmgUHBwds2rQJZmZm0NbWRu/evfHff/8J63x8DwHAf//9h759+0JTUxPGxsZYsWKFxPLyfL98fHxw8uRJhIaGCseTnJwMAEhISICnpyc0NTVhYGCAAQMG4Pnz5xKxjh49GhMnTkSNGjXQrl27wi8uEREREclMmSrbBw8exM6dO7Fo0SKMHz+ele0KFBoaitmzZ6NWrVpITU3FxYsXK2xfCgoK+Omnn3Djxg1s3LgRx48fh5+fn7A8Pj4ebm5uaNCgAc6ePYszZ86gc+fOyMnJEdbZuHEjNDQ0cP78eSxevBizZ8/G0aNHJfYTFBSEnj174tq1a/D09ES/fv3w77//AgAePXoET09PNGnSBFevXsXq1auxfv16zJ07FwCQmpqKPn36YMiQIUhMTER0dDS6du0q0fw4KioKiYmJOHHiBLZu3Yq9e/ciKCioyGNfsmQJbG1tERcXh4CAAACAlpYWwsPDkZCQgNDQUKxbt05icMADBw6ga9eu6NixI65cuYKoqCg0btxYWD548GDExMRg27ZtuHbtGnr06AEPDw/cuXMHAPDu3Ts0atQIERERuHHjBnx9fTFgwACcP39eKGPGjBkICwvD6tWrcfPmTUyYMAH9+/fHyZMnhXXMzMwkHmosWrQIW7ZsQVhYGGJiYpCWlvZZdB0oybX70LRp07Bo0SIEBAQgISEBv//+OwwMDITlRV2fXr16YdKkSWjQoAFSU1ORmpqKXr16QSwWo2PHjnjy5AkiIyMRFxcHJycnuLm5CfcgkNeaZN++fYiIiEBERAROnjyJhQsXFnl8S5YsQcOGDXH58mVMmzYNEyZMkLj3y/P9Cg0NhYuLC4YNGyYcj4mJCVJTU9GqVSs4ODjg0qVLOHToEP755x/07NlTIraNGzdCSUkJMTExWLt2bckvGhEREVUK+aORV9RUGeTk5GDp0qVwdnaGoaEhdHV1JaayEInLcHbq1KmDyMhIWFtbl2mnVDohISEICQkRMlllVdo+2zt37sTIkSOFLFnfvn2RkpKCM2fOSF3f1dUVOTk5OH36tDDP2dkZbdq0ESoqIpEIM2bMwJw5cwDkdUnQ0tJCZGQkPDw8MH36dOzevRuJiYnCYAWrVq2Cv78/Xr9+jfj4eDRq1AjJycmoXbu21GP8888/8eDBA6irqwMA1qxZgylTpuD169dQUFCQOriVo6Mj9u7dW+T5WLJkCbZv345Lly4BAJo1awZzc3Ns3ry5wLpJSUmoV68eHj58CGNjY2F+27Zt4ezsjPnz50vdR8eOHWFtbY2lS5ciIyMDNWrUwPHjx+Hi4iKs8/333+PNmzf4/fffAQBubm7o0qULRo8eDQAwNDTE5MmTMXnyZAB5PzjMzc3h6OhY7kq3j48PNm/eDFVVVWFehw4dsHPnTqn31/jx4xEfH4/o6Ghcvny52GuXv/1///0HPT09rFy5Et9//32JYvv4+kjrs338+HF06dIFT58+hYqKijDfwsICfn5+8PX1xaxZs7BkyRI8efIEWlpaAAA/Pz+cOnUK586dAyB9gDRra2scPHhQKLN3795IS0tDZGSk1HjL8v36uM92YGAgzp8/j8OHDwvzHj58CBMTE9y+fRuWlpZwdXXF69evC7w78mOZmZnIzMwUPqelpcHExASvX79G1apVi9yWJOl/4yvvEIi+ak/P/SLvEIgKSEtLg7a29if/vZq/X9/NF6Csrlkh+8h6k45f+jt/8X8zBAYG4tdff8XEiRMREBCA6dOnIzk5Gfv27UNgYCDGjh1b6jLL1Gd7zpw5CAwMxMaNG4UKDX35Tpw4gfnz5yMhIQFpaWnIzs7Gu3fvkJGRAQ0NDcTHx6NHjx5FltGwYUOJz0ZGRnj69Gmh62hoaEBLS0tYJzExES4uLhKjAjZv3hzp6el4+PAh7O3t4ebmBjs7O7i7u6N9+/bo3r07dHR0hPXt7e0l7ksXFxekp6fjwYMHUit5ACQy0vl27dqFkJAQ3L17F+np6cjOzpb4ARIfHy80Of/Y5cuXIRaLYWlpKTE/MzMT1atXB5BXCV64cCG2b9+OR48eCZUdDQ0NAHnNg9+9e1eg2W9WVhYcHR2Fz1FRUcL/X79+jX/++QfOzs7CPEVFRTRq1KjA2Apl1bp1a6xevVr4nB9vcUpy7fIlJiYiMzMTbm5uhZZX3PWRJi4uDunp6cI1yPf27VskJSUJn83MzISKNiD9Pv7Yhw9E8j9/WDGWxfdL2vGcOHECmpoFf3kmJSUJ95+0+/tjCxYsKLYFCBEREX2Zcv83VVTZlcGWLVuwbt06dOzYEUFBQejTpw/q1q2Lhg0b4ty5c5+ush0cHIykpCQYGBjAzMyswKi8ZRkWneTr/v378PT0xIgRIzBnzhzo6urizJkzGDp0qNAPVk1NrdhyPr4XRCJRgUpeUeuIxeICw+/nN74QiURQVFTE0aNHERsbiyNHjmDFihWYPn06zp8/jzp16hQZW1HD+n9cYTx37hx69+6NoKAguLu7Q1tbG9u2bUNwcLCwTlHnIzc3F4qKioiLi4OioqLEsvyKUXBwMJYvX46QkBChL+/48eOF/uX55+TAgQOoWbOmRBkfZmVLcqyybN6joaEhdeRxBQWFAvv5sI97aa5dcfdaSa6PNLm5uTAyMpLoO5+vWrVqwv9Lch+XRP51kNX362O5ubno3LkzFi1aVGCZkZGR8P+SPBCZNm0aJk6cKHzOz2wTERERfQ2ePHkCOzs7AHl/r79+/RoA0KlTJ6GbaWmVqbJd0UOk06d36dIlZGdnIzg4GAoKeV35d+zYIbFOw4YNERUVVaHZLxsbG+zevVui0h0bGwstLS2hwikSidC8eXM0b94cgYGBqF27Nvbu3StUFK5evYq3b98KlZdz585BU1MTtWrVKnEcMTExqF27NqZPny7Mu3//vsQ6+edj8ODBBbZ3dHRETk4Onj59ihYtWkjdx+nTp+Hl5YX+/fsDyKs43blzR+ieYWNjAxUVFaSkpKBVq1YliltbWxsGBga4cOGCsN+cnJxP8m52PT093LhxQ2JefHy8RMW1uGuXr169elBTU0NUVJTUZuQluT7KysoS4wkAgJOTE548eQIlJSWZDzaY38T8w8/169cHIJvvV2HHs3v3bpiZmUFJqXxvclRRUSn2IQ4RERF9mSqyb3Vl6bOdP0aWqakpLCwscOTIETg5OeHixYtl/hupTH+dVfQQ6VRx8vs9f0hXVxd169ZFdnY2VqxYgc6dOyMmJgZr1qyRWG/atGmws7PDqFGjMGLECCgrK+PEiRPo0aNHmd/9/bFRo0YhJCQEY8aMwejRo3H79m3MnDkTEydOhIKCAs6fP4+oqCi0b98e+vr6OH/+PJ49eyYxfkBWVhaGDh2KGTNm4P79+5g5cyZGjx4tVHJKwsLCAikpKdi2bRuaNGmCAwcOFOjTPXPmTLi5uaFu3bro3bs3srOzcfDgQfj5+cHS0hL9+vXDwIEDERwcDEdHRzx//hzHjx+HnZ0dPD09YWFhgd27dyM2NhY6OjpYtmwZnjx5IhyLlpYWJk+ejAkTJiA3Nxfffvst0tLSEBsbC01NTQwaNEhq7GPGjMGCBQtgYWGB+vXrY8WKFXj58mWRmX1ZaNOmDZYsWYLffvsNLi4u2Lx5M27cuCE0eS/JtcunqqoKf39/+Pn5QVlZGc2bN8ezZ89w8+ZNDB06tETXx8zMDPfu3UN8fDxq1aoFLS0ttG3bFi4uLvD29saiRYtgZWWFx48fIzIyEt7e3iVqbl2YmJgYLF68GN7e3jh69Ch27tyJAwcOAIBMvl9mZmY4f/48kpOToampCV1dXfzwww9Yt24d+vTpgylTpqBGjRq4e/cutm3bhnXr1hVoVUFERERfJ7G44l7RVUnq2ujSpQuioqLQtGlTjBs3Dn369MH69euRkpKCCRMmlKnMMo1GDgCvXr3Cr7/+imnTpgmj+F6+fBmPHj0qa5H0CURHR8PR0VFiCgwMhIODA5YtW4ZFixbB1tYWW7ZswYIFCyS2tbS0xJEjR3D16lU4OzvDxcUFf/zxR7kzah+qWbMmIiMjceHCBdjb22PEiBFCxRkAqlatilOnTsHT0xOWlpaYMWMGgoOD0aFDB6EMNzc31KtXDy1btkTPnj3RuXPnAq8gK46XlxcmTJiA0aNHw8HBAbGxsQWaj7i6umLnzp3Yv38/HBwc0KZNG4mRxMPCwjBw4EBMmjQJVlZW+O6773D+/HmhaW5AQACcnJzg7u4OV1dXGBoaFmg1kj8+woIFC2BtbQ13d3f8+eefEs2uPx6N3N/fH3369MHAgQPh4uICTU1NuLu7SwxqVhHc3d0REBAAPz8/NGnSBP/99x8GDhwoLC/JtftQQEAAJk2ahMDAQFhbW6NXr15Cv+mSXJ9u3brBw8MDrVu3hp6eHrZu3QqRSITIyEi0bNkSQ4YMgaWlJXr37o3k5GSJkc7LYtKkSYiLi4OjoyPmzJmD4OBguLu7A4BMvl+TJ0+GoqIibGxsoKenh5SUFBgbGyMmJgY5OTlwd3eHra0txo0bB21t7VI9XCIiIiL62i1cuBA//vgjAKB79+44c+YMRo4ciZ07dxb7VprClGk08mvXrqFt27bQ1tZGcnIybt++Lbzn9v79+/jtt9/KFAxReZV2xPUv3du3b6Grq4vIyEi0bt1a6jq5ubmwtrZGz549hVHgiYojr1FTKwOORk4kXxyNnD5H8h6N3GfjuQodjTx80Ddf/N8Mb968kfng32VKfUycOBE+Pj64c+dOgVcAnTp1SmbBEVHRTp48iTZt2khUtO/fv49169bhr7/+wvXr1zFy5Ejcu3cPffv2lWOkRERERESfL319ffTv3x+HDx+W2Vt8ylTZvnjxIoYPH15gfs2aNfHkyZNyB0XSpaSkQFNTU+qkoKAABQWFQpenpKTIO3yqAB4eHkK/4HwKCgoIDw9HkyZN0Lx5c1y/fh3Hjh2DtbU17yEiIiKir1B+n+2KmiqD3377DZmZmejSpQuMjY0xbtw4XLx4sVxllqmzraqqKtLS0grMv337NvT09MoVEBXO2Ni4wOBmpdn2axAeHi7vEOTOxMQEMTExUpfxHiIiIiIiKqhr167o2rUr/vvvP+zatQtbt25Fs2bNUKdOHfTv3x+BgYGlLrNMfbZ9fX3x7Nkz7NixA7q6urh27RoUFRXh7e2Nli1bIiQkpNSBEBHR54N9tsuOfbaJ5It9tulzJO8+2wPDzlZon+3fBrtUyr8ZEhIS0K9fP1y7dq3AK1hLokzNyJcuXYpnz55BX18fb9++RatWrWBhYQFNTU3MmzevLEUSERERERERydW7d++wY8cOeHt7w8nJCS9evMDkyZPLVFaZmpFXrVoVZ86cwYkTJxAXF4fc3Fw4OTmhbdu2ZQqCiIiIiIiIKgbfs128I0eOYMuWLdi3bx8UFRXRvXt3HD58GK1atSpzmaXKbL99+xYRERESAT1+/BhPnjxBZGQk/Pz88O7duzIHQ0RERERERPSpeXt7482bN9i4cSP++ecf/PLLL+WqaAOlzGz/9ttviIiIQKdOnQAAK1euRIMGDaCmpgYAuHXrFoyMjDBhwoRyBUVERERERESykSsWI7eCUtAVVe6n9uTJE6HP+cOHD2FsbAwFhTL1uhaUaustW7ZgyJAhEvN+//13nDhxAidOnMCSJUuwY8eOcgVERERERERE9Cl9OLibjY0NkpOTy11mqTLbf/31FywtLYXPqqqqErV9Z2dn/PDDD+UOioiI6EvFkZCJiOhzI/7fVFFlVzZleGGXVKWqbL9+/RpKSv+/ybNnzySW5+bmIjMzUyaBEREREREREX2pStWMvFatWrhx40ahy69du4ZatWqVOygiIiIiIiKSDbFYXKFTZfPjjz9CV1e33OWUKrPt6emJwMBAdOzYEaqqqhLL3r59i6CgIHTs2LHcQRERERERERF9KhMnTpT4PHv27ELXXbZsWYnKLFVl+8cff8SOHTtgZWWF0aNHw9LSEiKRCLdu3cLKlSuRnZ2NH3/8sTRFEhERERERUQXKFedNFVV2ZXDlyhVcvnwZ2dnZsLKyApA3ZpmioiKcnJyE9UQiUYnLLFVl28DAALGxsRg5ciSmTp0qNBkQiURo164dVq1aBQMDg9IUSURERERERCRXnTt3hpaWFjZu3AgdHR0AwMuXLzF48GC0aNECkyZNKnWZpapsA0CdOnVw6NAh/Pvvv7h79y4AwMLCQiZt2omIiIiIiEi2KrJvdWXpsx0cHIwjR44IFW0A0NHRwdy5c9G+fftPU9nOp6urC2dn57JuTkRERERERPRZSEtLwz///IMGDRpIzH/69Cn++++/MpVZ5so2ERERyY5BizHyDoGoUvjn9Ap5h0D0WaokCegK06VLFwwePBjBwcH45ptvAADnzp3DlClT0LVr1zKVyco2ERERERERfdXWrFmDyZMno3///nj//j0AQElJCUOHDsWSJUvKVCYr20RERERERJUY+2wXT11dHatWrcKSJUuQlJQEsVgMCwsLaGholLlMVraJiIiIiIiIAGhoaKBhw4YyKYuVbSIiIiIiokqM79mWDwV5B0BERERERERU2TCzTUREREREVImxz7Z8MLNNREREREREJGPMbBMREREREVVi4v9NFVU2ScfMNhEREREREZGMsbL9BRCLxfD19YWuri5EIhHi4+PlHVKhkpOTJWKMjo6GSCTCq1evAADh4eGoVq3aJ41JJBJh3759n3Sf9GmYmZkhJCRE+Pzhtf74XvwSfPx9ISIiIpKFXLG4QieSjpXtL8ChQ4cQHh6OiIgIpKamwtbWtsxlPXjwAEOHDoWxsTGUlZVRu3ZtjBs3Di9evJBJrCYmJuWOUdZSU1PRoUMHeYfxRTIzM4NIJJKYatWqJe+wCiWPay3LhznNmjVDamoqtLW1ZVIeEREREckP+2x/AZKSkmBkZIRmzZqVq5y///4bLi4usLS0xNatW1GnTh3cvHkTU6ZMwcGDB3Hu3Dno6uqWax+KioowNDQsVxmyVlw879+/R5UqVT5RNF+e2bNnY9iwYcJnRUVFOUZTtM/t3iuN9+/fQ1lZ+Ys+BiIiIvo8icV5U0WVTdIxs/2Z8/HxwZgxY5CSkgKRSAQzM7Myl/XDDz9AWVkZR44cQatWrWBqaooOHTrg2LFjePToEaZPny6su2rVKtSrVw+qqqowMDBA9+7dhWW5ublYtGgRLCwsoKKiAlNTU8ybNw9A2Zrurl69GnXr1oWysjKsrKywadMmieWzZs2CqakpVFRUYGxsjLFjxwrLzMzMMGfOHPTt2xeampowNjbGihUrJLaX1rR4x44dcHV1haqqKjZv3owXL16gT58+qFWrFtTV1WFnZ4etW7dKlFPUcQPAo0eP0KtXL+jo6KB69erw8vJCcnKysPzixYto164datSoAW1tbbRq1QqXL1+W2Mfr16/h6+sLfX19VK1aFW3atMHVq1eLPH+pqano2LEj1NTUUKdOHfz+++8FmleXh5aWFgwNDYVJT08POTk5GDp0KOrUqQM1NTVYWVkhNDS0wLZhYWGwtraGqqoq6tevj1WrVkksf/jwIXr37g1dXV1oaGigcePGOH/+PIC8h0xeXl4wMDCApqYmmjRpgmPHjhUZq7Qs861bt9CsWTOoqqqiQYMGiI6OFpaV9Dg2bNiABg0aQEVFBUZGRhg9ejQACN/HLl26FPh+/vnnn2jUqBFUVVVhbm6OoKAgZGdnS8S6Zs0aeHl5QUNDA3Pnzi3QjHzWrFlwcHCQiCUkJERiPz4+PvD29sb8+fNhYGCAatWqCfuaMmUKdHV1UatWLWzYsKHIc0dEREREssXK9mcuNDQUs2fPRq1atZCamoqLFy+WqZx///0Xhw8fxqhRo6CmpiaxzNDQEP369cP27dshFotx6dIljB07FrNnz8bt27dx6NAhtGzZUlh/2rRpWLRoEQICApCQkIDff/8dBgYGZYpr7969GDduHCZNmoQbN25g+PDhGDx4ME6cOAEA2LVrF5YvX461a9fizp072LdvH+zs7CTKWLJkCRo2bIjLly9j2rRpmDBhAo4ePVrkfv39/TF27FgkJibC3d0d7969Q6NGjRAREYEbN27A19cXAwYMECp+xR33mzdv0Lp1a2hqauLUqVM4c+YMNDU14eHhgaysLADAf//9h0GDBuH06dM4d+4c6tWrB09PT/z3338A8vrmd+zYEU+ePEFkZCTi4uLg5OQENzc3/PvvvwD+/2HBhxXGgQMH4vHjx4iOjsbu3bvxyy+/4OnTp2W6HiWVm5uLWrVqYceOHUhISEBgYCB+/PFH7NixQ1hn3bp1mD59OubNm4fExETMnz8fAQEB2LhxIwAgPT0drVq1wuPHj7F//35cvXoVfn5+yM3NFZZ7enri2LFjuHLlCtzd3dG5c2ekpKSUKtYpU6Zg0qRJuHLlCpo1a4bvvvtO6DZRkuNYvXo1fvjhB/j6+uL69evYv38/LCwsAED4PoaFhUl8Pw8fPoz+/ftj7NixSEhIwNq1axEeHi7xcAYAZs6cCS8vL1y/fh1Dhgwp1XF96Pjx43j8+DFOnTqFZcuWYdasWejUqRN0dHRw/vx5jBgxAiNGjMCDBw8KLSMzMxNpaWkSExEREVUO+e/ZrqiJpGMz8s+ctrY2tLS0yt08+86dOxCLxbC2tpa63NraGi9fvsSzZ8+QkpICDQ0NdOrUCVpaWqhduzYcHR0B5FUYQ0NDsXLlSgwaNAgAULduXXz77bdlimvp0qXw8fHBqFGjAAATJ07EuXPnsHTpUrRu3RopKSkwNDRE27ZtUaVKFZiamsLZ2VmijObNm2Pq1KkAAEtLS8TExGD58uVo165dofsdP348unbtKjFv8uTJwv/HjBmDQ4cOYefOnWjatGmxx71t2zYoKCjg119/hUgkApBXAatWrRqio6PRvn17tGnTRmJ/a9euhY6ODk6ePIlOnTrhxIkTuH79Op4+fQoVFRXh/Ozbtw+7du2Cr68vqlSpAisrK6irqwPIy9oeO3YMFy9eROPGjQEAv/76K+rVq1eKq1A0f39/zJgxQ/g8f/58jB07FkFBQcK8OnXqIDY2Fjt27EDPnj0BAHPmzEFwcLBwnuvUqSNUPAcNGoTff/8dz549w8WLF4XuC/mVWACwt7eHvb298Hnu3LnYu3cv9u/fL2SWS2L06NHo1q0bgLyK86FDh7B+/Xr4+fmhSpUqxR7H3LlzMWnSJIwbN05Yr0mTJgAAPT09AEC1atUkvp/z5s3D1KlThXvF3Nwcc+bMgZ+fH2bOnCms17dvX4lK9r1790p8XB/S1dXFTz/9BAUFBVhZWWHx4sV48+YNfvzxRwB5D4oWLlyImJgY9O7dW2oZCxYskDgXRERERFQ+rGwTAAhPpEQiEdq1a4fatWvD3NwcHh4e8PDwQJcuXaCuro7ExERkZmbCzc1NJvtNTEyEr6+vxLzmzZsLTXl79OiBkJAQIRZPT0907twZSkr/f+u6uLhIbO/i4lJsE+r8imm+nJwcLFy4ENu3b8ejR4+QmZmJzMxMaGhoCHEWddxxcXG4e/cutLS0JOa/e/cOSUlJAICnT58iMDAQx48fxz///IOcnBy8efNGyNTGxcUhPT0d1atXlyjj7du3Qhk1a9bErVu3hGW3b9+GkpISnJychHkWFhbQ0dEp8vhLY8qUKfDx8RE+16hRAwCwZs0a/Prrr7h//z7evn2LrKwsocnzs2fPhMH4PuzvnZ2dLQz+FR8fD0dHx0LHCcjIyEBQUBAiIiLw+PFjZGdn4+3bt6XObH94fygpKaFx48ZITEwU5hV1HE+fPsXjx49Lfb/HxcXh4sWLEpnsnJwcvHv3Dm/evBEelnx8H5ZVgwYNoKDw/w2VDAwMJAYpVFRURPXq1Yts8TBt2jRMnDhR+JyWlgYTExOZxEdERETyxT7b8sHK9lfCwsICIpEICQkJ8Pb2LrD81q1b0NHRQY0aNSASiXD58mVER0fjyJEjCAwMxKxZs3Dx4sUCTdBlIT8TnE8sFgvzTExMcPv2bRw9ehTHjh3DqFGjsGTJEpw8ebLIQc0+LvNj+ZXofMHBwVi+fDlCQkJgZ2cHDQ0NjB8/XmgCXtxx5+bmolGjRtiyZUuBZfnZTx8fHzx79gwhISGoXbs2VFRU4OLiIuwjNzcXRkZGEk3E8xX2urTCmu3IsjlPjRo1JDLOALBjxw5MmDABwcHBcHFxgZaWFpYsWSI0u89vCr5u3To0bdpUYtv8AdaKO6dTpkzB4cOHsXTpUlhYWEBNTQ3du3cXzld55N8fxR1HWe/33NxcBAUFFWg9AQCqqqrC/z++Dz+moKBQ4Fq+f/++wHoffxdEIpHUefnXRRoVFRWhRQURERERlR/7bH8lqlevjnbt2mHVqlV4+/atxLInT55gy5Yt6NWrl1AJUVJSQtu2bbF48WJcu3YNycnJOH78OOrVqwc1NTVERUXJJC5ra2ucOXNGYl5sbKxEc3c1NTV89913+OmnnxAdHY2zZ8/i+vXrwvJz585JbH/u3DnUr1+/VHGcPn0aXl5e6N+/P+zt7WFubo47d+4Iy4s7bicnJ9y5cwf6+vqwsLCQmPIzuadPn8bYsWPh6ekpDLb1/PlziTKePHkCJSWlAmXkZ5M/Vr9+fWRnZ+PKlSvCvLt371b4e5pPnz6NZs2aYdSoUXB0dISFhYWQfQfyMqs1a9bE33//XeBY6tSpAwBo2LAh4uPjhf7o0vbh4+ODLl26wM7ODoaGhhIDzpXUh/dHdnY24uLihPujuOPQ0tKCmZlZkfd7lSpVkJOTIzHPyckJt2/fLnDsFhYWEhno4ujp6eHJkycSFe4v6b3hRERE9Hnge7blg5ntr8jKlSvRrFkzuLu7Y+7cuRKv/qpZs6bQ5DUiIgJ///03WrZsCR0dHURGRiI3NxdWVlZQVVWFv78//Pz8oKysjObNm+PZs2e4efMmhg4dWuqYpkyZgp49ewoDgf3555/Ys2ePMOp0eHg4cnJy0LRpU6irq2PTpk1QU1ND7dq1hTJiYmKwePFieHt74+jRo9i5cycOHDhQqjgsLCywe/duxMbGQkdHB8uWLcOTJ0+ESn9xx92vXz8sWbIEXl5ewoB2KSkp2LNnD6ZMmYJatWrBwsICmzZtQuPGjZGWloYpU6ZIZE7btm0LFxcXeHt7Y9GiRbCyssLjx48RGRkJb29vqU2O69evj7Zt28LX1xerV69GlSpVMGnSJKipqRWb3S8PCwsL/Pbbbzh8+DDq1KmDTZs24eLFi0JFGsgbSXvs2LGoWrUqOnTogMzMTFy6dAkvX77ExIkT0adPH8yfPx/e3t5YsGABjIyMcOXKFRgbG8PFxQUWFhbYs2cPOnfuDJFIhICAgCIzs4X5+eefUa9ePVhbW2P58uV4+fKl0E+6pMcxYsQI6Ovro0OHDvjvv/8QExODMWPGAIBQGW/evDlUVFSgo6ODwMBAdOrUCSYmJujRowcUFBRw7do1XL9+HXPnzi1x7K6urnj27BkWL16M7t2749ChQzh48CCqVq1a6vNARERERJ8WM9tfkXr16uHSpUuoW7cuevXqhbp168LX1xetW7fG2bNnhb6z1apVw549e9CmTRtYW1tjzZo12Lp1Kxo0aAAACAgIwKRJkxAYGAhra2v06tWrzKNfe3t7IzQ0FEuWLEGDBg2wdu1ahIWFwdXVVYhl3bp1aN68ORo2bIioqCj8+eefEv2aJ02ahLi4ODg6OgqDcrm7u5cqjoCAADg5OcHd3R2urq4wNDQs0Ny+qONWV1fHqVOnYGpqiq5du8La2hpDhgzB27dvhYrRhg0b8PLlSzg6OmLAgAEYO3Ys9PX1hfJFIhEiIyPRsmVLDBkyBJaWlujduzeSk5OFUc+ljUb+22+/wcDAAC1btkSXLl0wbNgwaGlpSTRXlrURI0aga9eu6NWrF5o2bYoXL14Ig9zl+/777/Hrr78iPDwcdnZ2aNWqFcLDw4WKbP5r6PT19eHp6Qk7OzssXLhQaGa+fPly6OjooFmzZujcuTPc3d0l+qaX1MKFC7Fo0SLY29vj9OnT+OOPP4SWAiU5jkGDBiEkJASrVq1CgwYN0KlTJ4lWD8HBwTh69ChMTEyEgQTd3d0RERGBo0ePokmTJvjmm2+wbNkyiYdEJWFtbY1Vq1bh559/hr29PS5cuCAxkB8RERFRSeT32a6oiaQTiTlWO33BzMzMMH78eIwfP17eoXwS0dHR6NKlC/7+++9CB0F7+PAhTExMcOzYMZkNZEdfn7S0NGhra+P169fMpH8iBi3GyDsEokrhn9Mr5B0CUQHy+r2av98OoSdQRU2zQvbx/m06Do5rzb8ZpGAzcqIvyKFDh/Djjz9KVLSPHz+O9PR02NnZITU1FX5+fjAzM5N4NzoRERERfb0q8n3YzN0Wjs3IvyApKSnQ1NSUOikoKEBBQaHQ5aV9XRJ9nhYuXIgpU6ZIzHv//j1+/PFHNGjQAF26dIGenh6io6NRpUoVbNmypdB7ok6dOoUuy+8yQERERERUEVatWoU6depAVVUVjRo1wunTp4tc/+TJk2jUqBFUVVVhbm6ONWvWFLrutm3bIBKJpL6F6VNiZvsLYmxsXOaRiI2NjWUbzGeiLKNTVzbu7u6F9lH/7rvvCrx6K1+VKlWkvkYqfxkRERERVQ654ryposoure3bt2P8+PFYtWoVmjdvjrVr16JDhw5ISEiAqalpgfXv3bsHT09PDBs2DJs3b0ZMTAxGjRoFPT09dOvWTWLd+/fvY/LkyWjRokVZD0lmWNn+guS/EoqopLS0tKClpSXvMIiIiIiIBMuWLcPQoUPx/fffAwBCQkJw+PBhrF69GgsWLCiw/po1a2BqaoqQkBAAeYPIXrp0CUuXLpWobOfk5KBfv34ICgrC6dOnK/x1uMVhM3IiIiIiIqJKTFzB/4C8wdg+nDIzM6XGkpWVhbi4OLRv315ifvv27REbGyt1m7NnzxZY393dHZcuXZJoqTl79mzo6emV6ZXEFYGVbSIiIiIiIioXExMTaGtrC5O0DDUAPH/+HDk5OcKrbfMZGBjgyZMnUrd58uSJ1PWzs7Px/PlzAEBMTAzWr1+PdevWyeBoZIPNyImIiIiIiCqxinwfdn65Dx48kHj1l4qKSpHbiUSij8oRF5hX3Pr58//77z/0798f69atQ40aNUoTfoViZZuIiIiIiIjKpWrVqiV6z3aNGjWgqKhYIIv99OnTAtnrfIaGhlLXV1JSQvXq1XHz5k0kJyejc+fOwvLc3FwAeeNe3b59G3Xr1i3tIZUbm5ETERERERFVZuL/f9e2rCeUMmOurKyMRo0a4ejRoxLzjx49imbNmkndxsXFpcD6R44cQePGjVGlShXUr18f169fR3x8vDB99913aN26NeLj42FiYlK6IGWEmW0iIqLPwD+nV8g7BCIiok9i4sSJGDBgABo3bgwXFxf88ssvSElJwYgRIwAA06ZNw6NHj/Dbb78BAEaMGIGVK1di4sSJGDZsGM6ePYv169dj69atAABVVVXY2tpK7KNatWoAUGD+p8TKNhERERERUSX2ub1nu1evXnjx4gVmz56N1NRU2NraIjIyErVr1wYApKamIiUlRVi/Tp06iIyMxIQJE/Dzzz/D2NgYP/30U4F3bH9uRGJxRXWVJyKiL1VaWhq0tbXx+vXrEvW/IiIiosLJ6/dq/n7bLI2CkppGhewj+20Gjk92498MUjCzTUREREREVIkJ/asrqGySjgOkEREREREREckYM9tERERERESV2Kd4zzYVxMw2ERERERERkYwxs01ERERERFSJ5YrFyK2gFHRFlVsZsLJNRET0Fajb7yd5h0D0SSRtGSvvEIiIALCyTUREREREVKmJUYF9tium2EqBfbaJiIiIiIiIZIyZbSIiIiIiokqM79mWD2a2iYiIiIiIiGSMmW0iIiIiIqJKjO/Zlg9mtomIiIiIiIhkjJltIiIiIiKiSox9tuWDmW0iIiIiIiIiGWNmm4iIiIiIqBJjn235YGabyk0sFsPX1xe6uroQiUSIj4+Xd0ifFTMzM4SEhBS5jkgkwr59+z5JPJVVdHQ0RCIRXr16Je9QiiTrOL+U4yYiIiL62rCyTeV26NAhhIeHIyIiAqmpqbC1tS1TOT4+PhCJRMJUvXp1eHh44Nq1azKNtySVX1m6ePEifH19P9n+KqsP748qVarA3NwckydPRkZGhrxDK5VmzZohNTUV2tra8g6FiIiIvhL5fbYraiLpWNmmcktKSoKRkRGaNWsGQ0NDKCmVvXeCh4cHUlNTkZqaiqioKCgpKaFTp04yjFZ2srKySrSenp4e1NXVKziar0P+/fH3339j7ty5WLVqFSZPnizvsEpFWVkZhoaGEIlE8g6FiIiIiCoQK9tULj4+PhgzZgxSUlIgEolgZmZWrvJUVFRgaGgIQ0NDODg4wN/fHw8ePMCzZ8+Edfz9/WFpaQl1dXWYm5sjICAA79+/lyhn//79aNy4MVRVVVGjRg107doVAODq6or79+9jwoQJQpY0X2xsLFq2bAk1NTWYmJhg7NixEllTMzMzzJ07Fz4+PtDW1sawYcMAALt370aDBg2goqICMzMzBAcHS8TycSb9zp07aNmyJVRVVWFjY4OjR48WOA/lOUYg70GAn58fatasCQ0NDTRt2hTR0dHC8hcvXqBPnz6oVasW1NXVYWdnh61bt0qULxaLsXjxYpibm0NNTQ329vbYtWuX1OuWLzs7G2PHjkW1atVQvXp1+Pv7Y9CgQfD29i5yu5LKvz9MTEzQt29f9OvXr0Dz+7i4ODRu3Bjq6upo1qwZbt++LbF89erVqFu3LpSVlWFlZYVNmzZJLH/16hV8fX1hYGAAVVVV2NraIiIiAoBszpu0Zt8xMTFo1aoV1NXVoaOjA3d3d7x8+RIAkJmZibFjx0JfXx+qqqr49ttvcfHixULPUUliJCIioq8LM9vywco2lUtoaChmz56NWrVqITU1tchKQGmlp6djy5YtsLCwQPXq1YX5WlpaCA8PR0JCAkJDQ7Fu3TosX75cWH7gwAF07doVHTt2xJUrVxAVFYXGjRsDAPbs2YNatWph9uzZQgYdAK5fvw53d3d07doV165dw/bt23HmzBmMHj1aIqYlS5bA1tYWcXFxCAgIQFxcHHr27InevXvj+vXrmDVrFgICAhAeHi71mHJzc9G1a1coKiri3LlzWLNmDfz9/QusV55jBIDBgwcjJiYG27Ztw7Vr19CjRw94eHjgzp07AIB3796hUaNGiIiIwI0bN+Dr64sBAwbg/PnzQhkzZsxAWFgYVq9ejZs3b2LChAno378/Tp48KaxjZmaGWbNmCZ8XLVqELVu2ICwsDDExMUhLS6vQvuhqamoFHkJMnz4dwcHBuHTpEpSUlDBkyBBh2d69ezFu3DhMmjQJN27cwPDhwzF48GCcOHECQN716dChA2JjY7F582YkJCRg4cKFUFRUBCC78/ah+Ph4uLm5oUGDBjh79izOnDmDzp07IycnBwDg5+eH3bt3Y+PGjbh8+TIsLCzg7u6Of//9V2p5JYlRmszMTKSlpUlMRERERFR2IjEfRVA5hYSEICQkBMnJyeUqx8fHB5s3b4aqqioAICMjA0ZGRoiIiICTk1Oh2y1ZsgTbt2/HpUuXAOT1iTU3N8fmzZulrm9mZobx48dj/PjxwryBAwdCTU0Na9euFeadOXMGrVq1QkZGBlRVVWFmZgZHR0fs3btXWKdfv3549uwZjhw5Iszz8/PDgQMHcPPmzQL7O3LkCDw9PZGcnIxatWoByOvz3qFDB+zdu7fQDHBpjjEpKQn16tXDw4cPYWxsLMxv27YtnJ2dMX/+fKn76NixI6ytrbF06VJkZGSgRo0aOH78OFxcXIR1vv/+e7x58wa///47AMDNzQ1dunQRHkoYGhpi8uTJQtPunJwcmJubw9HRsdyVbh8fH7x69Uoo58KFC/D09ISbmxu2b9+O6OhotG7dGseOHYObmxsAIDIyEh07dsTbt2+hqqqK5s2bo0GDBvjll1+Ecnv27ImMjAwcOHAAR44cQYcOHZCYmAhLS8sSxVXa85Yf58uXL1GtWjX07dsXKSkpOHPmTIGyMzIyoKOjg/DwcPTt2xcA8P79e+GemjJlSoHyiouxMLNmzUJQUFCB+a9fv0bVqlVLdC7o81a330/yDoHok0jaMlbeIRAVkJaWBm1t7U/+ezV/v86zD0JJVaNC9pH9LgMXAjvwbwYp+Oov+qy0bt0aq1evBgD8+++/WLVqFTp06IALFy6gdu3aAIBdu3YhJCQEd+/eRXp6OrKzsyW+2PHx8UIT75KKi4vD3bt3sWXLFmGeWCxGbm4u7t27B2trawCQyB4DQGJiIry8vCTmNW/eHCEhIcjJyREyoh+ub2pqKlS0AUhUyvKV5xgvX74MsVhcoLKYmZkptBDIycnBwoULsX37djx69AiZmZnIzMyEhkbeD+GEhAS8e/cO7dq1kygjKysLjo6OwueoqCjh/69fv8Y///wDZ2dnYZ6ioiIaNWqE3NxcqbGWVkREBDQ1NZGdnY3379/Dy8sLK1askFinYcOGwv+NjIwAAE+fPoWpqSkSExMLDFbXvHlzhIaGAsg7r7Vq1Sq0oi2r8/ah+Ph49OjRQ+qypKQkvH//Hs2bNxfmValSBc7OzkhMTCxTjIWZNm0aJk6cKHxOS0uDiYlJkdsQERERUeFY2abPioaGBiwsLITPjRo1gra2NtatW4e5c+fi3Llz6N27N4KCguDu7g5tbW1s27ZNop+0mppaqfebm5uL4cOHY+zYgk/DTU1NJeL7kFgsLjDQVVGNRaQt+3j78h5jbm4uFBUVERcXV6Cyr6mpCQAIDg7G8uXLERISAjs7O2hoaGD8+PHCoG/5leMDBw6gZs2aEmWoqKgUum9pxyPLxjP5D2OqVKkCY2NjVKlSpcA6H87Lj+XDyr60+PLnFXfvVMR5K2qf+eeuqJhLG2NhVFRUir22RERE9GWqyL7VbChdOFa26bMmEomgoKCAt2/fAsgbSKp27dqYPn26sM79+/cltmnYsCGioqIwePBgqWUqKysL/WHzOTk54ebNmxIV/ZKwsbEp0Pw3NjYWlpaWBSq6+eunpKTg8ePHQhPvs2fPSqxT3mN0dHRETk4Onj59ihYtWkiN+/Tp0/Dy8kL//v0B5FUS79y5I2TwbWxsoKKigpSUFLRq1aq40wAA0NbWhoGBAS5cuCDsNycnB1euXIGDg0OJyijOxw9jSsva2hpnzpzBwIEDhXmxsbHCcTds2BAPHz7EX3/9JTW7XRHnLf9aSmvCbWFhAWVlZZw5c0aiGfmlS5ckukGUJkYiIiIi+jRY2abPSmZmJp48eQIAePnyJVauXIn09HR07twZQF7lIyUlBdu2bUOTJk1w4MABiT7UADBz5ky4ubmhbt266N27N7Kzs3Hw4EH4+fkByOtDferUKfTu3RsqKiqoUaMG/P398c033+CHH37AsGHDoKGhgcTERBw9erRAM+UPTZo0CU2aNMGcOXPQq1cvnD17FitXrsSqVaukrt+2bVtYWVlh4MCBCA4ORlpamkSlWhbHaGlpiX79+gn7cHR0xPPnz3H8+HHY2dnB09MTFhYW2L17N2JjY6Gjo4Nly5bhyZMnQoVMS0sLkydPxoQJE5Cbm4tvv/0WaWlpiI2NhaamJgYNGiT1+MaMGYMFCxbAwsIC9evXx4oVK/Dy5cvP5jVXU6ZMQc+ePeHk5AQ3Nzf8+eef2LNnD44dOwYAaNWqFVq2bIlu3bph2bJlsLCwwK1btyASieDh4VEh523atGmws7PDqFGjMGLECCgrK+PEiRPo0aMHatSogZEjR2LKlCnQ1dWFqakpFi9ejDdv3mDo0KFSj7G4GImIiOjrIxbnTRVVNknH0cjps3Lo0CEYGRnByMgITZs2xcWLF7Fz5064uroCALy8vDBhwgSMHj0aDg4OiI2NRUBAgEQZrq6u2LlzJ/bv3w8HBwe0adNGYiTm2bNnIzk5GXXr1oWenh6AvOziyZMncefOHbRo0QKOjo4ICAgQ+vwWxsnJCTt27MC2bdtga2uLwMBAzJ49Gz4+PlLXV1BQwN69e5GZmQlnZ2d8//33mDdvnsQ6sjjGsLAwDBw4EJMmTYKVlRW+++47nD9/XuiDGxAQACcnJ7i7u8PV1RWGhoYFBmebM2cOAgMDsWDBAlhbW8Pd3R1//vkn6tSpI6zz8Wjk/v7+6NOnDwYOHAgXFxdoamrC3d1dGPRO3ry9vREaGoolS5agQYMGWLt2LcLCwoT7C8h7lVuTJk3Qp08f2NjYwM/PT2gJIavz9iFLS0scOXIEV69ehbOzM1xcXPDHH38I76tfuHAhunXrhgEDBsDJyQl3797F4cOHoaOjI7W8ksRIRERERBWPo5ETUZm8ffsWurq6iIyMROvWraWuk5ubC2tra/Ts2RNz5sz5xBFSechr1FSqOByNnL4WHI2cPkfyHo280cwDFToaeVxQR/7NIAWbkRNRmZw8eRJt2rSRqGjfv38fR44cQatWrZCZmYmVK1fi3r17Qn9jIiIiIqKvBSvbJDMpKSmwsbGRuuzNmzcAAHV1danLExISJEb9ps+fh4cHPDw8JOYpKCggPDwckydPhlgshq2tLY4dOwZra2veH0RERETyUoF9tsF20oViZZtkxtjYGPHx8WXelr58JiYmiImJkbqM9wcRERERfU1Y2SaZUVJSKtdrmahy4/1BREREJB98z7Z8cDRyIiIiIiIiIhljZpuIiIiIiKgS43u25YOZbSIiIiIiIiIZY2abiIiIiIioEmOfbflgZZuIiIiIiKgSYzNy+WBlm4iI6CuQtGWsvEMgIiL6qrCyTUREREREVImxGbl8cIA0IiIiIiIiIhljZpuIiIiIiKgSY59t+WBmm4iIiIiIiEjGmNkmIiIiIiKqxMSowD7bYGq7MMxsExEREREREckYM9tERERERESVGPtsywcr20RERF8xW9918g6BSKZu/DJM3iEQEQFgZZuIiIiIiKhS43u25YN9tomIiIiIiIhkjJltIiIiIiKiSoyZbflgZpuIiIiIiIhIxpjZJiIiIiIiqsQ4Grl8MLNNREREREREJGPMbBMREREREVVi7LMtH8xsExEREREREckYM9tERERERESVGPtsy4dcM9tisRi+vr7Q1dWFSCRCfHy83GIxMzNDSEhIkeuIRCLs27evwmP5VPuhz5uPjw+8vb3lHUaRPud7NTw8HNWqVZN3GKUya9YsODg4yDsMIiIiIpIBuVa2Dx06hPDwcERERCA1NRW2trblKi82NhaKiorw8PAo9bYXL16Er69vufYvK6mpqejQoYO8w6AKJhKJhElLSwuNGzfGnj175B3WZ+dzrjRHR0dDJBLh1atXMilv8uTJiIqKkklZRERERPlyc8UVOpF0cq1sJyUlwcjICM2aNYOhoSGUlMrXqn3Dhg0YM2YMzpw5g5SUlFJtq6enB3V19XLtX1YMDQ2hoqIi7zDoEwgLC0NqaiouXrwIe3t79OjRA2fPnpV3WJ/M+/fv5R3CZ0EsFiM7OxuampqoXr26vMMhIiIiIhmQW2Xbx8cHY8aMQUpKCkQiEczMzMpVXkZGBnbs2IGRI0eiU6dOCA8PL7DO/v370bhxY6iqqqJGjRro2rWrsOzjZuR37txBy5YtoaqqChsbGxw9erRAef7+/rC0tIS6ujrMzc0REBAgUXnIbxK6YcMGmJqaQlNTEyNHjkROTg4WL14MQ0ND6OvrY968eRLlftg0Nzk5GSKRCHv27EHr1q2hrq4Oe3v7AhWy3bt3o0GDBlBRUYGZmRmCg4MllmdmZsLPzw8mJiZQUVFBvXr1sH79emH5yZMn4ezsDBUVFRgZGWHq1KnIzs4Wlufm5mLRokWwsLCAiooKTE1NJeJ++PAhevfuDV1dXWhoaKBx48Y4f/48gLyHKl5eXjAwMICmpiaaNGmCY8eOlSq+hIQEeHp6QlNTEwYGBhgwYACeP38uLD906BC+/fZbVKtWDdWrV0enTp2QlJQksY9Hjx6hV69e0NHRQfXq1eHl5YXk5OQC1/VDt27dwrfffivcB8eOHZNp0+lq1arB0NAQ9evXx5o1a6Cqqor9+/dLrLN06VIYGRmhevXq+OGHHyTusc2bN6Nx48bQ0tKCoaEh+vbti6dPnwrLX758iX79+kFPTw9qamqoV68ewsLChOVFXTcAWL16NerWrQtlZWVYWVlh06ZNRR5Pab4T5ubmUFFRgVgsxqtXr+Dr6wsDAwOoqqrC1tYWERERiI6OxuDBg/H69WuhFcCsWbOEYxs4cCB0dHSgrq6ODh064M6dOwVi2rdvHywtLaGqqop27drhwYMHwrLy3JvJyclo3bo1AEBHRwcikQg+Pj4A8irPixcvhrm5OdTU1GBvb49du3YJZeZnxA8fPozGjRtDRUUFp0+fLtCM3NXVFePHj5eIx9vbW9gPkPeza+7cuRg4cCA0NTVRu3Zt/PHHH3j27Bm8vLygqakJOzs7XLp0qchrR0RERJVXfp/tippIOrlVtkNDQzF79mzUqlVLyOyVx/bt22FlZQUrKyv0798fYWFhEsPQHzhwAF27dkXHjh1x5coVREVFoXHjxlLLys3NRdeuXaGoqIhz585hzZo18Pf3L7CelpYWwsPDkZCQgNDQUKxbtw7Lly+XWCcpKQkHDx7EoUOHsHXrVmzYsAEdO3bEw4cPcfLkSSxatAgzZszAuXPnijy+6dOnY/LkyYiPj4elpSX69OkjVIbj4uLQs2dP9O7dG9evX8esWbMQEBAg8cBh4MCB2LZtG3766SckJiZizZo10NTUBJBXCfX09ESTJk1w9epVrF69GuvXr8fcuXOF7adNm4ZFixYhICAACQkJ+P3332FgYAAASE9PR6tWrfD48WPs378fV69ehZ+fH3Jzc4Xlnp6eOHbsGK5cuQJ3d3d07txZovVBUfGlpqaiVatWcHBwwKVLl3Do0CH8888/6Nmzp7B9RkYGJk6ciIsXLyIqKgoKCgro0qWLEMObN2/QunVraGpq4tSpUzhz5gw0NTXh4eGBrKwsAP9fAcqvgOfm5sLb2xvq6uo4f/48fvnlF0yfPr3I61QeVapUgZKSkkTl9MSJE0hKSsKJEyewceNGhIeHS1zXrKwszJkzB1evXsW+fftw7949iYpY/vU6ePAgEhMTsXr1atSoUQNA8ddt7969GDduHCZNmoQbN25g+PDhGDx4ME6cOFHoMZTkO3H37l3s2LEDu3fvRnx8PHJzc9GhQwfExsZi8+bNSEhIwMKFC6GoqIhmzZohJCQEVatWRWpqKlJTUzF58mQAeQ/sLl26hP379+Ps2bMQi8Xw9PSUOH9v3rzBvHnzsHHjRsTExCAtLQ29e/cWlpfn3jQxMcHu3bsBALdv30ZqaipCQ0MBADNmzEBYWBhWr16NmzdvYsKECejfvz9OnjwpcS78/PywYMECJCYmomHDhoXfHMVYvnw5mjdvjitXrqBjx44YMGAABg4ciP79++Py5cuwsLDAwIEDi3w1R2ZmJtLS0iQmIiIiIio7uY1Grq2tDS0tLSgqKsLQ0LDc5a1fvx79+/cHAHh4eCA9PR1RUVFo27YtAGDevHno3bs3goKChG3s7e2llnXs2DEkJiYiOTkZtWrVAgDMnz+/QD/qGTNmCP83MzPDpEmTsH37dvj5+Qnzc3NzsWHDBmhpacHGxgatW7fG7du3ERkZCQUFBVhZWWHRokWIjo7GN998U+jxTZ48GR07dgQABAUFoUGDBrh79y7q16+PZcuWwc3NDQEBAQAAS0tLJCQkYMmSJfDx8cFff/2FHTt24OjRo8L5MDc3F8petWoVTExMsHLlSohEItSvXx+PHz+Gv78/AgMDkZGRgdDQUKxcuRKDBg0CANStWxfffvstAOD333/Hs2fPcPHiRejq6gIALCwsJM7zh+d67ty52Lt3L/bv34/Ro0cXG9/q1avh5OSE+fPnC/M2bNgAExMT/PXXX7C0tES3bt0kztf69euhr6+PhIQE2NraYtu2bVBQUMCvv/4KkUgEIK8Jd7Vq1RAdHY327dtDXV0dVlZWqFKlCgDgyJEjSEpKQnR0tHCPzps3D+3atSv0OpVVZmYmlixZgrS0NLi5uQnzdXR0sHLlSigqKqJ+/fro2LEjoqKiMGzYMADAkCFDhHXNzc3x008/wdnZGenp6dDU1ERKSgocHR2FB0sftiAp7rotXboUPj4+GDVqFABg4sSJOHfuHJYuXSpkdD9Wku9EVlYWNm3aBD09PQB55/nChQtITEyEpaWlcCz5tLW1IRKJJH5O3LlzB/v370dMTAyaNWsGANiyZQtMTEywb98+9OjRA0BeM/WVK1eiadOmAICNGzfC2toaFy5cgLOzc7nvzfzzpq+vL/Qrz8jIwLJly3D8+HG4uLgI25w5cwZr165Fq1athO1nz54tk/vJ09MTw4cPBwAEBgZi9erVaNKkiXAe/P394eLign/++afQn7cLFiyQ+PlIRERElQffsy0fleI927dv38aFCxeEjJWSkhJ69eqFDRs2COvEx8dLVGKKkpiYCFNTU6GiDUD4o/lDu3btwrfffgtDQ0NoamoiICCgQF9xMzMzaGlpCZ8NDAxgY2MDBQUFiXkfNv2V5sOsl5GREQAI2yQmJqJ58+YS6zdv3hx37txBTk4O4uPjoaioKPFH/sfH6+LiIlRC87dPT0/Hw4cPkZiYiMzMzELPX3x8PBwdHYWKx8cyMjLg5+cHGxsbVKtWDZqamrh165ZwroqLLy4uDidOnICmpqYw1a9fHwCEpuJJSUno27cvzM3NUbVqVdSpUwcAhH3ExcXh7t270NLSEsrQ1dXFu3fvhDKcnZ1x69Yt1KxZE0DefWViYiJROXF2dpYaY1n16dMHmpqaUFdXx7Jly7B06VKJhzoNGjSAoqKi8NnIyEjiXrly5Qq8vLxQu3ZtaGlpwdXVVeK4R44ciW3btsHBwQF+fn6IjY0Vti3uuhV2XyUmJhZ6PCX5TtSuXVuoaOfHUatWLaGiXRKJiYlQUlISKtEAUL16dVhZWUnEp6SkJNGCpX79+qhWrZqwTnnvTWkSEhLw7t07tGvXTuKe/e233wp0bSisdU1pffjzIb/FiZ2dXYF5Rf2cmTZtGl6/fi1MHza3JyIiIqLSqxTv2V6/fj2ys7OFShKQ94SlSpUqePnyJXR0dKCmplbi8qQ9nfmwIgoA586dEzLl7u7u0NbWxrZt2wr0lc7Pkn5YjrR5+U13C/PhNvmx5G8jFosLxPfhMRR37EVtLxKJit2+uOVTpkzB4cOHsXTpUlhYWEBNTQ3du3cXmm8Xt31ubi46d+6MRYsWFViW/+Chc+fOMDExwbp162BsbIzc3FzY2toK+8jNzUWjRo2wZcuWAmV8WPH7kLTzImvLly9H27ZtUbVqVejr6xdYXtS9kpGRgfbt26N9+/bYvHkz9PT0kJKSAnd3d+G4O3TogPv37+PAgQM4duwY3Nzc8MMPP2Dp0qUl+k5Iuy8KOycl/U5oaGhIfC7Nd/PDOAqb/3F80uLNn1fee1Oa/Otz4MABiZ9JAAoMfPjxufiYgoJCgWOVNqictJ8PRf3MkEZFRYUDMxIREVVWFdm3montQn3xme3s7Gz89ttvCA4ORnx8vDBdvXoVtWvXFipXDRs2LPErdWxsbJCSkoLHjx8L8z4ekCwmJga1a9fG9OnT0bhxY9SrVw/379+X3YGVgo2NDc6cOSMxLzY2FpaWllBUVISdnR1yc3ML9Bf9cPvY2FiJP+pjY2OhpaWFmjVrol69elBTUyv0/DVs2BDx8fH4999/pS4/ffo0fHx80KVLF9jZ2cHQ0FBiYLLi4nNycsLNmzdhZmYGCwsLiUlDQwMvXrxAYmIiZsyYATc3N1hbW+Ply5cFyrhz5w709fULlKGtrS11v/Xr10dKSgr++ecfYV55xxb4mKGhISwsLKRWtItz69YtPH/+HAsXLkSLFi1Qv359qZlLPT09+Pj4YPPmzQgJCcEvv/wCoPjrZm1tLfW+sra2lrp+Wb8TDRs2xMOHD/HXX39JXa6srIycnByJeTY2NsjOzpYYzO3Fixf466+/JOLLzs6WGBjs9u3bePXqldAyorz3prKyMgBIxGdjYwMVFRWkpKQUuNdMTEyKPR8f0tPTQ2pqqvA5JycHN27cKFUZRERERCQfX3xlOyIiAi9fvsTQoUNha2srMXXv3l0Y0XrmzJnYunUrZs6cicTERFy/fh2LFy+WWmbbtm1hZWWFgQMH4urVqzh9+nSBgbEsLCyQkpKCbdu2ISkpCT/99BP27t1b4ccrzaRJkxAVFYU5c+bgr7/+wsaNG7Fy5UphICkzMzMMGjQIQ4YMEQbRio6Oxo4dOwAAo0aNwoMHDzBmzBjcunULf/zxB2bOnImJEydCQUEBqqqq8Pf3h5+fn9AU9ty5c8K57dOnDwwNDeHt7Y2YmBj8/fff2L17t/CAwsLCAnv27BEegvTt21ciw1ZcfD/88AP+/fdf9OnTBxcuXMDff/+NI0eOYMiQIcjJyRFGF//ll19w9+5dHD9+HBMnTpQ4R/369UONGjXg5eWF06dP4969ezh58iTGjRuHhw8fSj2v7dq1Q926dTFo0CBcu3YNMTExwn1Q0RnvkjA1NYWysjJWrFiBv//+G/v378ecOXMk1gkMDMQff/yBu3fv4ubNm4iIiBAqo8VdtylTpiA8PBxr1qzBnTt3sGzZMuzZs0e4rz5W1u9Eq1at0LJlS3Tr1g1Hjx7FvXv3hEEFgbz7I38MhufPn+PNmzeoV68evLy8MGzYMJw5cwZXr15F//79UbNmTXh5eQllV6lSBWPGjMH58+dx+fJlDB48GN98843QHaC892bt2rUhEokQERGBZ8+eIT09HVpaWpg8eTImTJiAjRs3IikpCVeuXMHPP/+MjRs3lvTyAgDatGmDAwcO4MCBA7h16xZGjRols3d6ExER0dcjb9RwcQVN8j66z9cXX9lev3492rZtKzU72a1bN8THx+Py5ctwdXXFzp07sX//fjg4OKBNmzYSWbEPKSgoYO/evcjMzISzszO+//77Aq/n8vLywoQJEzB69Gg4ODggNjZWGKDsU3NycsKOHTuwbds22NraIjAwELNnz5YYlXr16tXo3r07Ro0ahfr162PYsGHIyMgAANSsWRORkZG4cOEC7O3tMWLECAwdOlRisKuAgABMmjQJgYGBsLa2Rq9evYQsqrKyMo4cOQJ9fX14enrCzs5OGE0ayGsqraOjg2bNmqFz585wd3eHk5OTxDEUFZ+xsTFiYmKQk5MDd3d32NraYty4cdDW1oaCggIUFBSwbds2xMXFwdbWFhMmTMCSJUskyldXV8epU6dgamqKrl27wtraGkOGDMHbt29RtWpVAAVHI1dUVMS+ffuQnp6OJk2a4PvvvxfOiaqqqoyuXtnp6ekhPDwcO3fuhI2NDRYuXIilS5dKrKOsrIxp06ahYcOGaNmyJRQVFbFt2zZhWVHXzdvbG6GhoViyZAkaNGiAtWvXIiwsTOgX/rHyfCd2796NJk2aoE+fPrCxsYGfn5+QLW7WrBlGjBiBXr16QU9PT3hIFhYWhkaNGqFTp05wcXGBWCxGZGSkRPNpdXV1+Pv7o2/fvnBxcYGamppw/ED5782aNWsiKCgIU6dOhYGBAUaPHg0AmDNnDgIDA7FgwQJYW1vD3d0df/75pzCWQEkNGTIEgwYNwsCBA9GqVSvUqVOn0MHpiIiIiOjzIhJz+DgiAEB4eDjmzZuHhISEAn2l88XExODbb7/F3bt3Ubdu3U8cIdGnk5aWBm1tbbx+/Vp4IEWVk63vOnmHQCRTN34ZJu8QiAqQ1+/V/P2a/bALCirqFbKP3Mw3SP65O/9mkKJSDJBGJAuHDh3C/PnzJSrae/fuhaamJurVq4e7d+9i3LhxaN68OSvaRERERERUpM+isp2SkgIbGxupy968eQMgrzmoNAkJCTA1Na2w2Ojr8WHz4nz//fcf/Pz88ODBA9SoUQNt27YVRteeP3++xLu/P5SRkVHoSNMtWrTAwYMHZRc4EREREVER+J5t+fgsKtvGxsaIj48v87ZEFWXgwIEYOHCg1GUjRoxAz549pS5TU1PD27dvC11GRERERESV22dR2VZSUoKFhYW8wyAqFV1dXejq6so7DCIiIiKiIjGzLR9f/GjkRERERERERJ+bzyKzTURERERERBVE/L+posomqZjZJiIiIiIiIpIxZraJiIiIiIgqMfbZlg9mtomIiIiIiIhkjJltIiKir9iNX4bJOwQiIqpgYlRgZpudtgvFzDYRERERERGRjDGzTUREREREVImxz7Z8MLNNREREREREJGPMbBMREREREVVizGzLBzPbRERERERERDLGzDYREREREVFlJv7fVFFlk1TMbBMRERERERHJGDPbREREVC7jNsfIOwQiQWj/5vIOgeizwz7b8sHMNhEREREREZGMMbNNRERERERUiTGzLR/MbBMRERERERHJGDPbRERERERElRgz2/LBzDYRERERERGRjDGzTUREREREVJnxPdtywcw2ERERERERfVKrVq1CnTp1oKqqikaNGuH06dNFrn/y5Ek0atQIqqqqMDc3x5o1aySWr1u3Di1atICOjg50dHTQtm1bXLhwoSIPoVisbBMREREREVVi+X22K2oqre3bt2P8+PGYPn06rly5ghYtWqBDhw5ISUmRuv69e/fg6emJFi1a4MqVK/jxxx8xduxY7N69W1gnOjoaffr0wYkTJ3D27FmYmpqiffv2ePToUZnPW3mJxOzRTkREH0lLS4O2tjZev36NqlWryjsc+syN2xwj7xCIBKH9m8s7BKIC5PV7NX+/+oN+g4KyeoXsIzfrDZ5uHFiqY2vatCmcnJywevVqYZ61tTW8vb2xYMGCAuv7+/tj//79SExMFOaNGDECV69exdmzZ6XuIycnBzo6Oli5ciUGDhxYyqOSDWa2CWKxGL6+vtDV1YVIJEJ8fLy8Q5LK1dUV48ePl3cYxfpS4qTPB+8ZIiIiqkifIrOdlpYmMWVmZkqNJSsrC3FxcWjfvr3E/Pbt2yM2NlbqNmfPni2wvru7Oy5duoT3799L3ebNmzd4//49dHV1S3u6ZIaVbcKhQ4cQHh6OiIgIpKamwtbWtkzl+Pj4wNvbW7bBfYH27NmDOXPmyDuML1psbCwUFRXh4eEh71BkKjo6GiKRCK9evZKYz3uGiIiIvnQmJibQ1tYWJmkZagB4/vw5cnJyYGBgIDHfwMAAT548kbrNkydPpK6fnZ2N58+fS91m6tSpqFmzJtq2bVuGo5ENjkZOSEpKgpGREZo1aybvUCqF4p6eZWVlQVlZ+RNF82XasGEDxowZg19//RUpKSkwNTWVd0jIycmBSCSCgoLsn1HK84krERERVX6f4j3bDx48kGhGrqKiUuR2IpGoQDkfzytufWnzAWDx4sXYunUroqOjoaqqWvQBVCBmtr9yPj4+GDNmDFJSUiASiWBmZlZh+1q2bBns7OygoaEBExMTjBo1Cunp6RLrxMTEoFWrVlBXV4eOjg7c3d3x8uVLYXlubi78/Pygq6sLQ0NDzJo1S2J7kUiEX3/9FV26dIG6ujrq1auH/fv3S6xz8uRJODs7Q0VFBUZGRpg6dSqys7OF5bt27YKdnR3U1NRQvXp1tG3bFhkZGQD+P3sfFBQEfX19VK1aFcOHD0dWVpaw/cdNgs3MzDB37lz4+PhAW1sbw4YNA5DX98TS0hLq6uowNzdHQEBAgWYw+/fvR+PGjaGqqooaNWqga9euwrKsrCz4+fmhZs2a0NDQQNOmTREdHS0sf/HiBfr06YNatWpBXV0ddnZ22Lp1q0T5YrEYixcvhrm5OdTU1GBvb49du3YVdgkBANnZ2Rg7diyqVauG6tWrw9/fH4MGDZJZq4aMjAzs2LEDI0eORKdOnRAeHi6xPD87HBUVhcaNG0NdXR3NmjXD7du3hXWSkpLg5eUFAwMDaGpqokmTJjh27JhEOcWdv/DwcFSrVg0RERGwsbGBiooK7t+/j5cvX2LgwIHQ0dGBuro6OnTogDt37gjb3b9/H507d4aOjg40NDTQoEEDREZGIjk5Ga1btwYA6OjoQCQSwcfHB4D0e2bOnDno27cvNDU1YWxsjBUrVkjE//r1a/j6+gr3YZs2bXD16lVh+dWrV9G6dWtoaWmhatWqaNSoES5dulSWS0JERERUrKpVq0pMhVW2a9SoAUVFxQJZ7KdPnxbIXuczNDSUur6SkhKqV68uMX/p0qWYP38+jhw5goYNG5bjiMqPle2vXGhoKGbPno1atWohNTUVFy9erLB9KSgo4KeffsKNGzewceNGHD9+HH5+fsLy+Ph4uLm5oUGDBjh79izOnDmDzp07IycnR1hn48aN0NDQwPnz57F48WLMnj0bR48eldhPUFAQevbsiWvXrsHT0xP9+vXDv//+CwB49OgRPD090aRJE1y9ehWrV6/G+vXrMXfuXABAamoq+vTpgyFDhiAxMRHR0dHo2rWrxJPAqKgoJCYm4sSJE9i6dSv27t2LoKCgIo99yZIlsLW1RVxcHAICAgAAWlpaCA8PR0JCAkJDQ7Fu3TosX75c2ObAgQPo2rUrOnbsiCtXrgiVy3yDBw9GTEwMtm3bhmvXrqFHjx7w8PAQKn7v3r1Do0aNEBERgRs3bsDX1xcDBgzA+fPnhTJmzJiBsLAwrF69Gjdv3sSECRPQv39/nDx5UljHzMxM4qHGokWLsGXLFoSFhSEmJgZpaWnYt29fkcdfGtu3b4eVlRWsrKzQv39/hIWFSX0SO336dAQHB+PSpUtQUlLCkCFDhGXp6enw9PTEsWPHcOXKFbi7u6Nz584SI1wWd/6AvL4+CxYswK+//oqbN29CX18fPj4+uHTpEvbv34+zZ89CLBbD09NTeFDyww8/IDMzE6dOncL169exaNEiaGpqwsTERBgx8/bt20hNTUVoaGih52HJkiVo2LAhLl++jGnTpmHChAnCvS4Wi9GxY0c8efIEkZGRiIuLg5OTE9zc3IR7vV+/fqhVqxYuXryIuLg4TJ06FVWqVCl0f5mZmQX6WhEREVHl8DmNRq6srIxGjRoV+Bv+6NGjhba0dXFxKbD+kSNH0LhxY4m/b5YsWYI5c+bg0KFDEn83ywtHIyeEhIQgJCQEycnJ5SrHx8cHr169KnHFa+fOnRg5cqTQz6Jv375ISUnBmTNnpK7v6uqKnJwciXfwOTs7o02bNli4cCGAvMz2jBkzhP6vGRkZ0NLSQmRkJDw8PDB9+nTs3r0biYmJQpOTVatWwd/fH69fv0Z8fDwaNWqE5ORk1K5dW+ox/vnnn3jw4AHU1fNGdFyzZg2mTJmC169fQ0FBAa6urnBwcEBISAiAvMqqo6Mj9u7dW+T5WLJkCbZv3y5kH5s1awZzc3Ns3ry5wLpJSUmoV68eHj58CGNjY2F+27Zt4ezsjPnz50vdR8eOHWFtbY2lS5ciIyMDNWrUwPHjx+Hi4iKs8/333+PNmzf4/fffAQBubm7o0qULRo8eDSDvyeLkyZMxefJkAHnNq83NzeHo6CiTSnfz5s3Rs2dPjBs3DtnZ2TAyMsLWrVuF/jbR0dFo3bo1jh07Bjc3NwBAZGQkOnbsiLdv3xbaVKhBgwYYOXIkRo8eXaLzFx4ejsGDByM+Ph729vYAgDt37sDS0hIxMTHCL4MXL17AxMQEGzduRI8ePdCwYUN069YNM2fOLBBDfuwvX75EtWrVhPnS7hlra2scPHhQWKd3795IS0tDZGQkjh8/ji5duuDp06cST40tLCzg5+cHX19fVK1aFStWrMCgQYNKdN5nzZol9aERRyOnkuBo5PQ54Wjk9DmS92jk1fuHVeho5C82Dy7VsW3fvh0DBgzAmjVr4OLigl9++QXr1q3DzZs3Ubt2bUybNg2PHj3Cb7/9BiDv1V+2trYYPnw4hg0bhrNnz2LEiBHYunUrunXrBiCv6XhAQAB+//13NG/+/z8HNDU1oampKfsDLwH22aZP5sSJE5g/fz4SEhKQlpaG7OxsvHv3DhkZGdDQ0EB8fDx69OhRZBkfNwUxMjLC06dPC11HQ0MDWlpawjqJiYlwcXGR6NvRvHlzpKen4+HDh7C3t4ebmxvs7Ozg7u6O9u3bo3v37tDR0RHWt7e3FyraQN6TtvT0dDx48EBqBR2A1Cdru3btQkhICO7evYv09HRkZ2dL/ICKj48Xmpx/7PLlyxCLxbC0tJSYn5mZKTSlycnJwcKFC7F9+3Y8evQImZmZyMzMhIaGBgAgISEB7969Q7t27STKyMrKgqOjo/A5KipK+P/r16/xzz//wNnZWZinqKiIRo0aITc3V2qspXH79m1cuHABe/bsAQAoKSmhV69e2LBhQ4HBLT68zkZGRgDymhOZmpoiIyMDQUFBiIiIwOPHj5GdnY23b98Kme2SnD8g78nrh/tJTEyEkpISmjZtKsyrXr06rKyshFdRjB07FiNHjsSRI0fQtm1bdOvWrUxNmD58AJL/Ob8yHhcXh/T09ALNpt6+fYukpCQAwMSJE/H9999j06ZNaNu2LXr06IG6desWur9p06Zh4sSJwue0tDSYmJiUOm4iIiL6DIn/N1VU2aXUq1cvvHjxArNnzxYGaI6MjBT+lk5NTZVokVinTh1ERkZiwoQJ+Pnnn2FsbIyffvpJqGgDeQm0rKwsdO/eXWJfM2fOLND19FNhZZs+ifv378PT0xMjRozAnDlzoKurizNnzmDo0KFC81s1NbViy/m4GaxIJCpQyStqHWkDL3w4uIKioiKOHj2K2NhYHDlyBCtWrMD06dNx/vx51KlTp8jYihrQIb+Cm+/cuXPo3bs3goKC4O7uDm1tbWzbtg3BwcHCOkWdj9zcXCgqKiIuLg6KiooSy/Kf3AUHB2P58uUICQkR+sqPHz9e6F+ef04OHDiAmjVrSpRRlgEtZGH9+vXIzs6WiEcsFqNKlSp4+fKlxEOPD69zfjz5xzRlyhQcPnwYS5cuhYWFBdTU1NC9e3eJYy/u/AF51+DDYy3sOD+8r77//nu4u7vjwIEDOHLkCBYsWIDg4GCMGTOmTOfkQx8ep5GRkUQf83z5GfNZs2ahb9++OHDgAA4ePIiZM2di27Zt6NKli9SyVVRUir3uRERERLIyatQojBo1Suqyj8fsAYBWrVrh8uXLhZZX3la6FYF9tumTuHTpErKzsxEcHIxvvvkGlpaWePz4scQ6DRs2lMiiVgQbGxvExsZKVJpiY2OhpaUlVPBEIhGaN2+OoKAgXLlyBcrKyhJNwK9evYq3b98Kn8+dOwdNTU3UqlWrxHHExMSgdu3amD59Oho3box69erh/v37EusUdT4cHR2Rk5ODp0+fwsLCQmIyNDQEAJw+fRpeXl7o378/7O3tYW5uLtEfOX/Qr5SUlAJlFJbR1NbWhoGBAS5cuCDMy8nJwZUrV0p87IXJzs7Gb7/9huDgYMTHxwvT1atXUbt2bWzZsqXEZZ0+fRo+Pj7o0qUL7OzsYGhoKPEDuCTnTxobGxtkZ2dL9Ht/8eIF/vrrL1hbWwvzTExMMGLECOzZsweTJk3CunXrAEAYhf7DcQgKc+7cuQKf69evDwBwcnLCkydPoKSkVCD+GjVqCNtYWlpiwoQJOHLkCLp27YqwsLBi90tERESVz+fUZ/trwsw2yVR+v+cP6erqom7dusjOzsaKFSvQuXNnxMTEYM2aNRLrTZs2DXZ2dhg1ahRGjBgBZWVlnDhxAj169JCoQJTHqFGjEBISgjFjxmD06NG4ffs2Zs6ciYkTJ0JBQQHnz59HVFQU2rdvD319fZw/fx7Pnj2TqEhlZWVh6NChmDFjBu7fv4+ZM2di9OjRpXollIWFBVJSUrBt2zY0adIEBw4cKNCne+bMmXBzc0PdunXRu3dvZGdn4+DBg/Dz84OlpSX69euHgQMHIjg4GI6Ojnj+/DmOHz8OOzs7eHp6wsLCArt370ZsbCx0dHSwbNkyPHnyRDgWLS0tTJ48GRMmTEBubi6+/fZbpKWlITY2FpqamoX29R0zZgwWLFgACwsL1K9fHytWrMDLly+LzOyXREREBF6+fImhQ4dCW1tbYln37t2xfv16od94cSwsLLBnzx507twZIpEIAQEBEi0gSnL+pKlXrx68vLwwbNgwrF27FlpaWsI7HL28vAAA48ePR4cOHWBpaYmXL1/i+PHjwjmvXbs2RCIRIiIi4OnpCTU1tUL7EMXExGDx4sXw9vbG0aNHsXPnThw4cABAXt9yFxcXeHt7Y9GiRbCyssLjx48RGRkJb29vNGjQAFOmTEH37t1Rp04dPHz4EBcvXpRoakVEREREFYuZbZKp6OhoODo6SkyBgYFwcHDAsmXLsGjRItja2mLLli0FXnRvaWmJI0eO4OrVq3B2doaLiwv++OMPKCnJ7plQzZo1ERkZiQsXLsDe3h4jRowQKs5A3isLTp06BU9PT1haWmLGjBkIDg5Ghw4dhDLc3NxQr149tGzZEj179kTnzp1L3Q/Ey8sLEyZMwOjRo+Hg4IDY2FhhlPJ8rq6u2LlzJ/bv3w8HBwe0adNGIqMaFhaGgQMHYtKkSbCyssJ3332H8+fPC1npgIAAODk5wd3dHa6urjA0NCzweq45c+YgMDAQCxYsgLW1Ndzd3fHnn39KNJn/eDRyf39/9OnTBwMHDoSLiws0NTXh7u5e7ncYrl+/Hm3bti1Q0QaAbt26IT4+vsimQx9avnw5dHR00KxZM3Tu3Bnu7u5wcnKSWKe481eYsLAwNGrUCJ06dYKLiwvEYjEiIyOFZu05OTn44YcfYG1tDQ8PD1hZWWHVqlUA8u6/oKAgTJ06FQYGBkU+PJg0aRLi4uLg6OiIOXPmIDg4GO7u7gDyWl9ERkaiZcuWGDJkCCwtLdG7d28kJyfDwMAAioqKePHiBQYOHAhLS0v07NkTHTp0KHbUfCIiIqqcmNmWD45GTlQKpR1x/Uv39u1b6OrqIjIyUnhH9Mdyc3NhbW2Nnj17CqPAU/mYmZlh/PjxEu/e/tTkNWoqfZk4Gjl9TjgaOX2O5D0auU6f9RU6GvnLrUP5N4MUbEZORIU6efIk2rRpI1HRvn//Po4cOYJWrVohMzMTK1euxL1799C3b185RkpEREREharIDDRzt4ViZZsEKSkpsLGxkbrszZs3ACDxyqsPJSQkwNTUtMJiI/nw8PCAh4eHxDwFBQWEh4dj8uTJEIvFsLW1xbFjx2Btbc17iIiIiIjof1jZJoGxsXGBwc1Ks+3XQNprCL42JiYmiImR3mSU95BsfI6vriAiIqIv2Gf2nu2vBSvbJMh/jRBRWfEeIiIiIiLKw8o2ERERERFRJSYWiyusbzXH2y4cX/1FREREREREJGPMbBMREREREVViYlRgZpudtgvFzDYRERERERGRjDGzTUREREREVImJxajAPtsVUmylwMo2ERERlUto/+byDoGIiOizw8o2ERERERFRJcbRyOWDfbaJiIiIiIiIZIyZbSIiIiIiospM/L+posomqZjZJiIiIiIiIpIxZraJiIiIiIgqMfbZlg9mtomIiIiIiIhkjJltIiIiIiKiSoyZbflgZZuIiIjkKu1ttrxDoEqkqhr/vCWizwN/GhEREREREVVizGzLB/tsExEREREREckYM9tERERERESVGDPb8sHKNhERERERUWUm/t9UUWWTVGxGTkRERERERCRjzGwTERERERFVYmxGLh/MbBMRERERERHJGDPbRERERERElRgz2/LBzDYRERERERGRjH2RlW2xWAxfX1/o6upCJBIhPj5e3iGVipmZGUJCQmRapo+PD7y9vWVa5odEIhH27dtXonVnzZoFBweHCouFZKsirld0dDREIhFevXol03JLKzk5WW4/I8LDw1GtWrUi1/n43Ff095iIiIi+UvmZ7YqaSKovsrJ96NAhhIeHIyIiAqmpqbC1tS1TOT4+PhCJRAUmDw8PGUcs6eLFi/D19a3QfRSntJWh1NRUdOjQoWKD+srlXxNp05MnTypsv5MnT0ZUVFSFlV9Srq6uGD9+vLzDKFJpKsO9evXCX3/9VaryQ0NDER4eXvrAiIiIiOiz80X22U5KSoKRkRGaNWtW7rI8PDwQFhYmMU9FRaXQ9d+/f48qVaqUa596enrl2v5TysrKgrKyMgwNDeUdylfj9u3bqFq1qsQ8fX19qevmX5/y0NTUhKamZrnKIEnv37+Hmpoa1NTUSrWdtrZ2BUVEREREXzVxbt5UUWWTVF9cZtvHxwdjxoxBSkoKRCIRzMzMylWeiooKDA0NJSYdHR1huUgkwpo1a+Dl5QUNDQ3MnTsXFhYWWLp0qUQ5N27cgIKCApKSkgDkNQ81NTWFiooKjI2NMXbsWGHdj5uRi0QirF69Gh06dICamhrq1KmDnTt3SpT/6NEj9OrVCzo6OqhevTq8vLyQnJxc6HFlZmZi7Nix0NfXh6qqKr799ltcvHgRQF7T2tatWwMAdHR0IBKJ4OPjAyAvuzh69GhMnDgRNWrUQLt27YQYP2xG/vDhQ/Tu3Ru6urrQ0NBA48aNcf78eYkYNm3aBDMzM2hra6N3797477//hGWHDh3Ct99+i2rVqqF69ero1KmTcO5Kuo8///wTjRo1gqqqKszNzREUFITs7Gxh+bJly2BnZwcNDQ2YmJhg1KhRSE9Pl9hHbGwsWrZsCTU1NZiYmGDs2LHIyMgo9LwCwP79+1GvXj2oqamhdevW2Lhxo0ybTOvr6xe4JxUU8r6q+ZnVBQsWwNjYGJaWlpg9ezbs7OwKlNOoUSMEBgYCyMuaOzs7Q0NDA9WqVUPz5s1x//59AIU3ZQ4KCoK+vj6qVq2K4cOHIysrS1hHLBZj8eLFMDc3h5qaGuzt7bFr165Cj+nFixfo06cPatWqBXV1ddjZ2WHr1q0S+zx58iRCQ0OFbH7+/X3y5Ek4OztDRUUFRkZGmDp1qsR1zs3NxaJFi2BhYQEVFRWYmppi3rx5hcZSXHm7du2CnZ0d1NTUUL16dbRt2xYZGRmYNWsWNm7ciD/++EOIMTo6WmiqvmPHDri6ukJVVRWbN2+W2ox84cKFMDAwgJaWFoYOHYp3795JLP84cy6ty4mDgwNmzZolfBaJRFi7di06deoEdXV1WFtb4+zZs7h79y5cXV2hoaEBFxeXAt8vIiIiIqpYX1xlOzQ0FLNnz0atWrWQmpoqVCAr0syZM+Hl5YXr169jyJAhGDJkSIFs+IYNG9CiRQvUrVsXu3btwvLly7F27VrcuXMH+/btk1oZ+lBAQAC6deuGq1evon///ujTpw8SExMBAG/evEHr1q2hqamJU6dO4cyZM9DU1ISHh4dEBehDfn5+2L17NzZu3IjLly/DwsIC7u7u+Pfff2FiYoLdu3cDyMuipqamIjQ0VNh248aNUFJSQkxMDNauXVug7PT0dLRq1QqPHz/G/v37cfXqVfj5+SE39/+faiUlJWHfvn2IiIhAREQETp48iYULFwrLMzIyMHHiRFy8eBFRUVFQUFBAly5dhDKK28fhw4fRv39/jB07FgkJCVi7di3Cw8MlKlkKCgr46aefcOPGDWzcuBHHjx+Hn5+fsPz69etwd3dH165dce3aNWzfvh1nzpzB6NGjhXVmzZol8UAnOTkZ3bt3h7e3N+Lj4zF8+HBMnz69yGsra1FRUUhMTMTRo0cRERGBIUOGICEhQeK7cO3aNVy5cgU+Pj7Izs6Gt7c3WrVqhWvXruHs2bPw9fWFSCQqdh8nTpzA1q1bsXfvXgQFBQnLZ8yYgbCwMKxevRo3b97EhAkT0L9/f5w8eVJqee/evUOjRo0QERGBGzduwNfXFwMGDBAenoSGhsLFxQXDhg1DamoqUlNTYWJigkePHsHT0xNNmjTB1atXsXr1aqxfvx5z584Vyp42bRoWLVqEgIAAJCQk4Pfff4eBgYHUOIorLzU1FX369MGQIUOQmJiI6OhodO3aFWKxGJMnT0bPnj3h4eEhxPhh6xp/f3+MHTsWiYmJcHd3L7DvHTt2YObMmZg3bx4uXboEIyMjrFq1qtBrUBpz5szBwIEDER8fj/r166Nv374YPnw4pk2bhkuXLgGAxH0tTWZmJtLS0iQmIiIiqiTYZ1s+xF+g5cuXi2vXrl3ucgYNGiRWVFQUa2hoSEyzZ88W1gEgHj9+vMR2jx8/FisqKorPnz8vFovF4qysLLGenp44PDxcLBaLxcHBwWJLS0txVlaW1P3Wrl1bvHz5col9jBgxQmKdpk2bikeOHCkWi8Xi9evXi62srMS5ubnC8szMTLGampr48OHDwrF4eXmJxWKxOD09XVylShXxli1bhPWzsrLExsbG4sWLF4vFYrH4xIkTYgDily9fSuy3VatWYgcHhwIxAxDv3btXLBaLxWvXrhVraWmJX7x4IfX4Zs6cKVZXVxenpaUJ86ZMmSJu2rSp1PXFYrH46dOnYgDi69evl2gfLVq0EM+fP19i3qZNm8RGRkaF7mPHjh3i6tWrC58HDBgg9vX1lVjn9OnTYgUFBfHbt2/FYrFYvGLFCnGbNm2E5f7+/mJbW1uJbaZPny71XJZW/jX5+H60tLQU1hk0aJDYwMBAnJmZKbFthw4dhPtFLBaLx48fL3Z1dRWLxWLxixcvxADE0dHRUvc7c+ZMsb29vcQ+dHV1xRkZGcK81atXizU1NcU5OTni9PR0saqqqjg2NlainKFDh4r79OkjcSxFnRNPT0/xpEmThM+tWrUSjxs3TmKdH3/8scC9//PPPwuxpKWliVVUVMTr1q2Tuo979+6JAYivXLlSovLi4uLEAMTJyclSy/vwe/bxPkJCQiTmh4WFibW1tYXPLi4uUr/nH5/7D8v/+GeFWCwW29vbi2fOnCl8BiCeMWOG8Pns2bNiAOL169cL87Zu3SpWVVWVekz5Zs6cKQZQYHr9+nWR2xHJwus37zlxktlE9Dl6/fq1XH6v5u9XpcNysep3aypkUumwnH8zFOKL7LMtS61bt8bq1asl5unq6kp8bty4scRnIyMjdOzYERs2bICzszMiIiLw7t079OjRAwDQo0cPhISEwNzcHB4eHvD09ETnzp2hpFT46XZxcSnwOX8E5bi4ONy9exdaWloS67x7905q09CkpCS8f/8ezZs3F+ZVqVIFzs7OQra8KB8f78fi4+Ph6OhY4Dx9yMzMTCJeIyMjPH36VCLGgIAAnDt3Ds+fPxcy1ikpKbC1tS12H3Fxcbh48aJEJjsnJwfv3r3DmzdvoK6ujhMnTmD+/PlISEhAWloasrOz8e7dO2RkZEBDQ0M4r1u2bBHKEIvFyM3Nxb1792BtbY3Ro0dLZARv376NJk2aSMTi7Oxc5PkqrdOnT0ucu4/vGzs7uwL9tIcNG4YhQ4Zg2bJlUFRUxJYtWxAcHAwg73728fGBu7s72rVrh7Zt26Jnz54wMjIqNAZ7e3uoq6sLn11cXJCeno4HDx7g6dOnePfundDFIF9WVhYcHR2llpeTk4OFCxdi+/btePToETIzM5GZmQkNDY0iz0ViYiJcXFwksvDNmzdHeno6Hj58iCdPniAzMxNubm5FllPS8uzt7eHm5gY7Ozu4u7ujffv26N69u0TXksIU971JTEzEiBEjJOa5uLjgxIkTJYq9KA0bNhT+n5/V/7A1jYGBAd69e4e0tLQC4wHkmzZtGiZOnCh8TktLg4mJSbljIyIios8A+2zLxVdf2dbQ0ICFhUWx63zs+++/x4ABA7B8+XKEhYWhV69eQuXExMQEt2/fxtGjR3Hs2DGMGjUKS5YswcmTJ0s1uFp+hSA3NxeNGjWSqBTmkzbYmvh/TTk+biYsFouLbDqcr7gKUEkGffr4OEUikUQz886dO8PExATr1q2DsbExcnNzYWtrKzSLL24fubm5CAoKQteuXQssU1VVxf379+Hp6YkRI0Zgzpw50NXVxZkzZzB06FC8f/9eKGP48OES/enzmZqaSt2vtHMolnHTmTp16hT5yihp16dz585QUVHB3r17oaKigszMTHTr1k1YHhYWhrFjx+LQoUPYvn07ZsyYgaNHj+Kbb74pVWwfXscDBw6gZs2aEssLG1wwODgYy5cvR0hIiNCPfvz48YV2g8hX1PkWiUSlHoCsuPIUFRVx9OhRxMbG4siRI1ixYgWmT5+O8+fPo06dOkWWXdz3piwUFBQK3F/59++HPvy+5R+ftHkffgc/pqKiUuTgkERERERUOl9cn+3PhaenJzQ0NLB69WocPHgQQ4YMkViupqaG7777Dj/99BOio6Nx9uxZXL9+vdDyzp07V+Bz/fr1AQBOTk64c+cO9PX1YWFhITFJG73YwsICysrKOHPmjDDv/fv3uHTpEqytrQFAyIzm5OSU+tgbNmyI+Ph4/Pvvv6XeFsgbLCsxMREzZsyAm5sbrK2t8fLly1Ltw8nJCbdv3y5wPiwsLKCgoIBLly4hOzsbwcHB+Oabb2BpaYnHjx8XKOPmzZtSyyhshO/69esXGCcgv0+sPCkpKWHQoEEICwtDWFgYevfuLZGZBgBHR0dMmzYNsbGxsLW1xe+//15oeVevXsXbt2+Fz+fOnYOmpiZq1aoFGxsbqKioICUlpcB5KywTevr0aXh5eaF///6wt7eHubk57ty5I7GOsrJygfvRxsYGsbGxEhXO2NhYaGlpoWbNmsJAdSV9dVlx5QF5FdPmzZsjKCgIV65cgbKyMvbu3VtojCVlbW0t9XteFD09PaSmpgqf09LScO/evTLtn4iIiL5i7LMtF199ZTszMxNPnjyRmJ4/f17sdoqKivDx8cG0adNgYWEh0Qw8PDwc69evx40bN/D3339j06ZNUFNTQ+3atQstb+fOndiwYQP++usvzJw5ExcuXBCaL/fr1w81atSAl5cXTp8+jXv37uHkyZMYN24cHj58WKAsDQ0NjBw5ElOmTMGhQ4eQkJCAYcOG4c2bNxg6dCgAoHbt2hCJRIiIiMCzZ88KjNJdlD59+sDQ0BDe3t6IiYnB33//jd27d+Ps2bMl2j5/RPVffvkFd+/exfHjxyWar5ZkH4GBgfjtt98wa9Ys3Lx5E4mJiULGFgDq1q2L7OxsrFixQrgGa9askdiHv78/zp49ix9++AHx8fG4c+cO9u/fjzFjxhQa+/Dhw3Hr1i34+/vjr7/+wo4dO4T3Ipek1UBJPH36tMA9KS2b+bHvv/8ex48fL/Dw5969e5g2bRrOnj2L+/fv48iRI/jrr7+EBy/SZGVlYejQoUhISMDBgwcxc+ZMjB49GgoKCtDS0sLkyZMxYcIEbNy4EUlJSbhy5Qp+/vlnbNy4UWp5FhYWQsY4MTERw4cPL/DucDMzM5w/fx7JyclC14JRo0bhwYMHGDNmDG7duoU//vgDM2fOxMSJE6GgoABVVVX4+/vDz88Pv/32G5KSknDu3DmsX79eahzFlXf+/HnMnz8fly5dQkpKCvbs2YNnz54J58rMzAzXrl3D7du38fz58xJdl3zjxo3Dhg0bJL7nN2/eLHKbNm3aYNOmTTh9+jRu3LiBQYMGQVFRscT7JCIiIiL5+eor24cOHYKRkZHE9O2335Zo26FDhyIrK6tAVrtatWpYt24dmjdvjoYNGyIqKgp//vknqlevXmhZQUFB2LZtGxo2bIiNGzdiy5YtsLGxAQCoq6vj1KlTMDU1RdeuXWFtbY0hQ4bg7du3hfa/XLhwIbp164YBAwbAyckJd+/exeHDh4W+pzVr1kRQUBCmTp0KAwODYkcq/pCysjKOHDkCfX19eHp6ws7ODgsXLixxJUBBQQHbtm1DXFwcbG1tMWHCBCxZsqRU+3B3d0dERASOHj2KJk2a4JtvvsGyZcuEBxoODg5YtmwZFi1aBFtbW2zZsgULFiyQ2EfDhg1x8uRJ3LlzBy1atICjoyMCAgIk+jJ/PBp5nTp1sGvXLuzZswcNGzbE6tWrhdHIZdUE18rKqsA9GRcXV+x29erVQ7NmzWBlZYWmTZsK89XV1XHr1i1069YNlpaW8PX1xejRozF8+PBCy3Jzc0O9evXQsmVL9OzZE507d5Z43dScOXMQGBiIBQsWwNraGu7u7vjzzz8LbWodEBAAdGEdcgAAJkhJREFUJycnuLu7w9XVVXiQ8qHJkydDUVERNjY20NPTQ0pKCmrWrInIyEhcuHAB9vb2GDFiBIYOHSo8VMkve9KkSQgMDIS1tTV69eolMT7Ah4orr2rVqjh16hQ8PT1haWmJGTNmIDg4GB06dACQ1zfeysoKjRs3hp6eHmJiYoq8Jh/q1asXAgMD4e/vj0aNGuH+/fsYOXJkkdtMmzYNLVu2RKdOneDp6Qlvb2/UrVu3xPskIiIiAvD/fbYraiKpRGJZdzj9isTExMDV1RUPHz4s9FVDJSESibB3794ClQ+Sv/z3j+dnr6WZN28e1qxZgwcPHnyaoAohFotRv359DB8+vEBLgdLw8fHBq1evJN6rTl+ftLQ0aGtr4/Xr14U+1COSlbS32cWvRFRCVdW++iGJ6DMkr9+r+ftVab8YoiqlG+umpMTv3yLziB//ZpCCP43KIDMzEw8ePEBAQAB69uxZroo2fd5OnjyJU6dOScxbtWoVmjRpgurVqyMmJgZLliwpVcuAivD06VNs2rQJjx49wuDBg+UaCxERERF9ZsTiChyNnLnbwnzRle2UlBShqfXH3rx5AwAFBonKl5CQUOiI08XZunUrhg4dCgcHB2zatKlMZdCXQdpgVHfu3MHcuXPx77//wtTUFJMmTcK0adMAAB06dMDp06ellpX/yjFpfvzxR/z4449ljtPAwAA1atTAL7/8UqLXVBERERERUcX6opuRZ2dnIzk5uUzbmpmZFfnea6KyePTokcQo3h9SU1MrdJmurm6R7y0n+tTYjJw+JTYjJ1liM3L6HMm9GXnbhRBVUa2QfYjfv0Pmsan8m0GKL/qnkZKSUrHvyCb6lD5+7zQREREREX2dvujKNhERERERERWnIkcN52jkhfnqX/1FREREREREJGvMbBMREREREVVmYnHFjRr+5Q4BVuGY2SYiIiIiIiKSMWa2iYiIiIiIKjNxBfbZrrC+4F8+VraJiIhIrviqJiIiqoz4242IiIiIiKgyY59tuWCfbSIiIiIiIiIZY2abiIiIiIioMmOfbblgZpuIiIiIiIhIxpjZJiIiIiIiqszYZ1sumNkmIiIiIiIikjFmtomIiIiIiCoz9tmWC1a2iYiIiKjSSHubLe8QqBKoqsZqEpUf7yIiIiIiIqLKjH225YJ9tomIiIiIiIhkjJltIiIiIiKiyox9tuWCmW0iIiIiIiIiGWNmm4iIiIiIqDLLFedNFVU2ScXMNhEREREREZGMMbNNRERERERUmYnFFdhnm5ntwjCzTURERERERCRjzGwTERERERFVZhyNXC6Y2ZYzsVgMX19f6OrqQiQSIT4+vsL2lZycXGAfMTExsLOzQ5UqVeDt7Y3o6GiIRCK8evWq0HLCw8NRrVq1Uu1bJBJh3759ZYpbHqSdKyobaffUvn37YGFhAUVFRYwfP75E99SsWbPg4OBQ4v1+idewJN8/IiIiIvoysLItZ4cOHUJ4eDgiIiKQmpoKW1vbMpXj4+MDkUgkTNWrV4eHhweuXbsmrGNiYlJgHxMnToSDgwPu3buH8PBwNGvWDKmpqdDW1i73sX1qZmZmCAkJkUlZ0s4VFeTq6irccwoKCjAwMECPHj1w//59YR1p99Tw4cPRvXt3PHjwAHPmzEGvXr3w119/yeMQyk2WD5K+5O8fERERfcbE4oqdSCpWtuUsKSkJRkZGaNasGQwNDaGkVPaW/R4eHkhNTUVqaiqioqKgpKSETp06CcsVFRUL7CMpKQlt2rRBrVq1UK1aNSgrK8PQ0BAikahcx/Uly8rKknquSLphw4YhNTUVjx49wh9//IEHDx6gf//+wvKP76n09HQ8ffoU7u7uMDY2hpaWFtTU1KCvry+vQ/gsvH//nt8/IiIiokqElW058vHxwZgxY5CSkgKRSAQzM7NylaeiogJDQ0MYGhrCwcEB/v7+ePDgAZ49ewZAsllt/v9fvHiBIUOGQCQSITw8XGoz1vDwcJiamkJdXR1dunTBixcvCux79erVqFu3LpSVlWFlZYVNmzYVWCc1NRUdOnSAmpoa6tSpg507d0os9/f3h6WlJdTV1WFubo6AgAC8f/9eYp39+/ejcePGUFVVRY0aNdC1a1cAeRnW+/fvY8KECUKmNV9sbCxatmwJNTU1mJiYYOzYscjIyBCWm5mZYe7cufDx8YG2tjaGDRtWoAlyTk4Ohg4dijp16kBNTQ1WVlYIDQ0tcIwbNmxAgwYNoKKiAiMjI4wePVpY9vr1a/j6+kJfXx9Vq1ZFmzZtcPXqVWF5UlISvLy8YGBgAE1NTTRp0gTHjh2TKD8rKwt+fn6oWbMmNDQ00LRpU0RHRxeI40P//fcf+vXrBw0NDRgZGWH58uVwdXXF+PHji9yupNTV1WFoaAgjIyN88803+OGHH3D58mVh+Yf3VHT0/7V351FVlesfwL8HFA6TpIAMgUigBJiCYMTBAbIFYiJoKrZMwTGkksHpUgLK1cwRScPpeqHMG+BVUsuJTBFFHAjUBLllEF2BHAM1LyTs3x8u9q/jAWU4xxPH72etvZb73e9+9/OevZHz8O797mMwMjICALz66quQSCQ4duxYs7eRf/TRRzA3N4eRkRGmT5+O//3vf3LbGxsbkZiYCGtra+jq6sLV1RUHDx5UiO/y5cuQyWSQSqVwcXGR+7w6el6bfmbHjBmj8DO8b98+uLu7QyqV4oUXXsCSJUvw4MEDcbtEIsGmTZsQFBQEAwMDLF26VOHnr7lb59etWyd3nLCwMAQHB+PDDz+Eubk5nnvuOfFY8+fPR48ePWBtbY1//vOfCv0iIiKiZ0TTM9uqWqhZTLbVKDk5WUwWqqqqcPbsWaW1fffuXezYsQMODg4wMTFR2N50m3S3bt2wbt06VFVVISQkRKHe6dOnMW3aNERERKCoqAi+vr5YunSpXJ2srCxERkZi7ty5+P777/H2229j6tSpOHr0qFy9uLg4vPHGGzh//jzeeustvPnmmygpKRG3GxkZIS0tDcXFxUhOTsbWrVuRlJQkbv/6668xduxYvP766ygsLMSRI0fg4eEBANi9ezesra2RmJgoju4DwMWLF+Hv74+xY8fiwoULyMjIwIkTJ+SSYABYtWoV+vXrh4KCAsTFxSl8Do2NjbC2tkZmZiaKi4sRHx+P999/H5mZmWKdjRs34p133sGsWbNw8eJF7N27Fw4ODgAePpv/+uuvo7q6Gvv370dBQQEGDhyI4cOH49atW+I5GzlyJL755hsUFhbC398fgYGBqKioEI8xdepUnDx5Eunp6bhw4QLGjx+PESNG4IcffhDrNP3hpElMTAxOnjyJvXv3Ijs7G7m5uXLJsDLdunULO3fuhKenZ7PbZTIZSktLAQC7du1CVVUVZDKZQr3MzEwkJCRg2bJlOHfuHCwtLZGSkiJXJzk5GWvWrMHq1atx4cIF+Pv7Y/To0XKfBQDMnz8fc+fORWFhIWQyGUaPHi3+waij57XpZzY1NVXuZ/jQoUN46623MGfOHBQXF2Pz5s1IS0vDsmXL5GJLSEhAUFAQLl68iGnTprX6c37Ut99+i8rKShw/fhxr167F4sWLMWrUKHTv3h2nT59GeHg4wsPD8csvv7TYRl1dHWpra+UWIiIiIuoAgdQqKSlJsLW17XA7oaGhgra2tmBgYCAYGBgIAARLS0uhoKBArFNWViYAEAoLC8UyY2NjITU1VVw/evSoAEC4ffu2IAiC8OabbwojRoyQO1ZISIhgbGwsrstkMmHmzJlydcaPHy+MHDlSXAcghIeHy9Xx9PQUZs+e3WKfVq5cKbi7u4vrXl5ewqRJk1qsb2trKyQlJcmVTZ48WZg1a5ZcWW5urqClpSXcv39f3C84OFiuTnOf1aMiIiKEN954Q1y3srISPvjgg2brHjlyROjWrZvwv//9T67c3t5e2Lx5c4vHcHZ2FtavXy8IgiD8+OOPgkQiEa5evSpXZ/jw4UJsbKy47ujoKOzevVsQBEGora0VunbtKuzcuVPc/ttvvwn6+vpCZGRki8dtrWHDhgldu3YVDAwMBH19fQGA0LdvX6GsrEys8+g1dfv2bQGAcPToUbFOamqq3DXl5eXV7PUyYMAAcd3KykpYtmyZXJ1BgwYJERERgiD8/zn86KOPxO1//PGHYG1tLaxYsaLFPrXlvArCw2s7KytLrmzIkCHChx9+KFe2fft2wdLSUm6/qKgouTqPflYJCQlyfRYExf8zQkNDBVtbW6GhoUEsc3R0FIYMGSKuP3jwQDAwMBC++OKLFvuRkJAgAFBYampqWtyHiOivqOb3P7hw6fCi9OuypkYtv1ebjqs7KEaQesWqZNEdFMPvDC3gyLYG8fX1RVFREYqKinD69Gn4+fkhICBAbrKqtiopKYGXl5dc2aPrJSUl8Pb2livz9vaWG7Vubj8vLy+5Ov/+978xePBgWFhYwNDQEHFxcXKjukVFRRg+fHib4i8oKEBaWhoMDQ3Fxd/fH42NjSgrKxPrNY2QP86mTZvg4eEBMzMzGBoaYuvWrWJ8165dQ2VlZYvxFRQU4O7duzAxMZGLpaysDFeuXAEA3Lt3DwsWLICzszOee+45GBoa4vLly+IxvvvuOwiCgL59+8q1kZOTI7YBPLxtesyYMQCAn376CX/88QdefvllcbuxsTEcHR3b9Dk+zqRJk1BUVITz58/jxIkTcHBwgJ+fH+7cudPuNp903dXW1qKysrLN112XLl3g4eEhV6cj57UlBQUFSExMlDtPTc+2//7772K91lx3reHi4gItrf//79zc3BwvvfSSuK6trQ0TExNcu3atxTZiY2NRU1MjLo8bBSciIiKiJ+PsTxrEwMBAvL0VANzd3WFsbIytW7cq3PrdWkIrZxd8dEInQRBaNclTU538/HxMnDgRS5Ysgb+/P4yNjZGeno41a9aIdfX09NoQ+UONjY14++23MWfOHIVtvXr1Ev9tYGDw2HYyMzMRHR2NNWvWwMvLC0ZGRli1ahVOnz7dqtgaGxthaWnZ7PPVTc8qz58/H4cOHcLq1avh4OAAPT09jBs3DvX19WIb2traKCgogLa2tlwbhoaGzR636fw1d36UxdjYWLzuHBwcsG3bNlhaWiIjIwMzZsxQ2nGa09HrrqPntSWNjY1YsmSJOKfAn0mlUvHfT7rutLS0FM7Vo/MYAEDXrl3l1iUSSbNljY0tP1Olq6sLXV3dx8ZDREREnRTfs60WTLY1WNPrmO7fv9/uNpydnZGfny9X9ui6k5MTTpw4gSlTpohleXl5cHJyUtjvz3Xy8/Ph5uYG4OH7vm1tbfHBBx+I2x8dke/fvz+OHDmCqVOnNhurjo4OGhoa5MoGDhyIS5cuyf0Roj1yc3Mhk8kQEREhlv15NNnIyAi9e/fGkSNH4Ovrq7D/wIEDUV1djS5durQ4EV5ubi7CwsLEUem7d++ivLxc3O7m5oaGhgZcu3YNQ4YMaVXc9vb26Nq1K86cOQMbGxsAD0eFf/jhBwwbNqxVbbRV0x8COnLdOTk5NXu9NOnWrRusrKxw4sQJDB06VCzPy8uTG8Vv2q+pzoMHD1BQUCA+s9/R8wo8THSbu+5KS0s7fN2ZmZmhurpa7o8Inem94URERETPMibbGqSurg7V1dUAgNu3b2PDhg24e/cuAgMD293mnDlzIJPJsHLlSgQHB+Pw4cMKMz7Pnz8fEyZMECf82rdvH3bv3q0wk/bOnTvh4eGBwYMHY8eOHThz5gy2bdsG4OGIaEVFBdLT0zFo0CB8/fXXyMrKkts/ISEBw4cPh729PSZOnIgHDx7gwIEDWLBgAYCHM0MfP34cEydOhK6uLkxNTbFw4UJxhuyZM2fCwMAAJSUlyM7Oxvr161v9OTg4OOCzzz7DoUOHYGdnh+3bt+Ps2bOws7MT6yxevBjh4eHo2bMnAgICcOfOHZw8eRLvvfceXnvtNXh5eSE4OBgrVqyAo6MjKisrsX//fgQHB8PDwwMODg7YvXs3AgMDIZFIEBcXJzcS2bdvX0yaNAlTpkzBmjVr4Obmhhs3buDbb7/FSy+9hJEjRyrEbWRkhNDQUHFW6p49eyIhIQFaWlpKe73U77//Ll53v/76K5YuXQqpVAo/P792txkZGYnQ0FC56+XSpUt44YUXxDrz589HQkIC7O3t4erqitTUVBQVFWHHjh1ybX3yySfo06cPnJyckJSUhNu3b4uTkXX0vAIQk3Fvb2/o6uqie/fuiI+Px6hRo2BjY4Px48dDS0sLFy5cwMWLF9t0l4mPjw+uX7+OlStXYty4cTh48CAOHDiAbt26tfuzJSIiomeQKt+Hzfdst4jPbGuQgwcPwtLSEpaWlvD09MTZs2exc+dO+Pj4tLvNV155Bf/4xz+wfv16uLq64vDhw1i0aJFcneDgYCQnJ2PVqlVwcXHB5s2bkZqaqnDcJUuWID09Hf3798enn36KHTt2wNnZGQAQFBSE6OhovPvuu3B1dUVeXp7CrOA+Pj7YuXMn9u7dC1dXV7z66qvi7b4AkJiYiPLyctjb28PMzAzAw9HwnJwc/PDDDxgyZAjc3NwQFxcHS0vLNn0O4eHhGDt2LEJCQuDp6YmbN2/KjYYCQGhoKNatW4eUlBS4uLhg1KhR4szYEokE+/fvx9ChQzFt2jT07dsXEydORHl5OczNzQEASUlJ6N69O2QyGQIDA+Hv74+BAwfKHSM1NRVTpkzB3Llz4ejoiNGjR+P06dPiqHXTsf48G/natWvh5eWFUaNG4bXXXoO3tzecnJzkbmfuiK1bt4rXna+vL65fv479+/d36LnwkJAQxMfHY+HChXB3d8fPP/+M2bNny9WZM2cO5s6di7lz5+Kll17CwYMHsXfvXvTp00eu3kcffYQVK1ZgwIAByM3NxZ49e2Bqagqg4+cVANasWYPs7GzY2NiId2r4+/vjq6++QnZ2NgYNGoRXXnkFa9euha2tbZs+BycnJ6SkpOCTTz7BgAEDcObMGcybN69NbRARERGRekgEZT68SURqVV5ejj59+qC4uFgh6Wxy7949PP/881izZg2mT5/+lCOkzqK2thbGxsaoqanhSDoRdSq19x+oOwTSAN30lHsDsLp+rzYdV9f9PUi0VTM3i9BQh7qC9fzO0AzeRk6kQQ4ePIhZs2bJJdqFhYW4fPkyXn75ZdTU1CAxMRHAw7sJiIiIiIhINZhs/0VUVFSIt1Q/qulVQfr6+s1uLy4ulptZm55d4eHhzZavXr0apaWl0NHRgbu7O3Jzc2Fqaorc3FwEBAQ0u8/9+/cfOxv33bt3lRIzEREREakYn9lWCybbfxFWVlbtnmXYyspKucGQRnFzc0NBQUGz2zw8PFq87p6UbBMRERERUcuYbP9FdOnSpcOvCSJqKz09PV53RERERJqO79lWC85GTkRERERERKRkHNkmIiIiIiLSZHxmWy04sk1ERERERESkZBzZJiIiIiIi0mR8ZlstOLJNRERERERET1VKSgrs7OwglUrFV9M+Tk5ODtzd3SGVSvHCCy9g06ZNCnV27doFZ2dn6OrqwtnZGVlZWaoKv1U4sk1EREREGqObHr/eEikQoMJnttu+S0ZGBqKiopCSkgJvb29s3rwZAQEBKC4uRq9evRTql5WVYeTIkZg5cyY+//xznDx5EhERETAzM8Mbb7wBADh16hRCQkLw97//HWPGjEFWVhYmTJiAEydOwNPTs6O9bBeJIPCJdiIikldbWwtjY2PU1NSgW7du6g6HiIioU1PX79Wm4+r2fxsSbR2VHENoqEfdhc1t6punpycGDhyIjRs3imVOTk4IDg7G8uXLFeovXLgQe/fuRUlJiVgWHh6O8+fP49SpUwCAkJAQ1NbW4sCBA2KdESNGoHv37vjiiy/a270O4W3kREREREREmqzpmW1VLW1QX1+PgoIC+Pn5yZX7+fkhLy+v2X1OnTqlUN/f3x/nzp3DH3/88dg6LbX5NPA+GyIiUtB001Ntba2aIyEiIur8mn6fqu2m4ob69tzt3eq2AcXvDLq6utDV1VWofuPGDTQ0NMDc3Fyu3NzcHNXV1c0eorq6utn6Dx48wI0bN2BpadlinZbafBqYbBMRkYI7d+4AAGxsbNQcCRERkea4c+cOjI2Nn9rxdHR0YGFhgeriT1V6HENDQ4XvDAkJCVi8eHGL+0gkErl1QRAUyp5U/9Hytrapaky2iYhIgZWVFX755RcYGRm1+pdUbW0tbGxs8Msvv2j0c97sp2ZhPzUL+6lZNKmfgiDgzp07sLKyeqrHlUqlKCsrQ319vUqP01xS29yoNgCYmppCW1tbYcT52rVrCiPTTSwsLJqt36VLF5iYmDy2TkttPg1MtomISIGWlhasra3btW+3bt06/Zei1mA/NQv7qVnYT82iKf18miPafyaVSiGVStVy7Obo6OjA3d0d2dnZGDNmjFienZ2NoKCgZvfx8vLCvn375MoOHz4MDw8PdO3aVayTnZ2N6OhouToymUwFvWgdJttERERERET01MTExGDy5Mnw8PCAl5cXtmzZgoqKCoSHhwMAYmNjcfXqVXz22WcAHs48vmHDBsTExGDmzJk4deoUtm3bJjfLeGRkJIYOHYoVK1YgKCgIe/bswTfffIMTJ06opY8Ak20iIiIiIiJ6ikJCQnDz5k0kJiaiqqoK/fr1w/79+2FrawsAqKqqQkVFhVjfzs4O+/fvR3R0ND755BNYWVnh448/Ft+xDQAymQzp6elYtGgR4uLiYG9vj4yMDLW9Yxtgsk1EREqiq6uLhISEFp/R0hTsp2ZhPzUL+6lZnpV+PqsiIiIQERHR7La0tDSFsmHDhuG77757bJvjxo3DuHHjlBGeUkgEtc0/T0RERERERKSZtNQdABEREREREZGmYbJNREREREREpGRMtomIiIiIiIiUjMk2EREpXe/evSGRSOSWv/3tb+oOS2Xq6urg6uoKiUSCoqIidYejdKNHj0avXr0glUphaWmJyZMno7KyUt1hKVV5eTmmT58OOzs76Onpwd7eHgkJCaivr1d3aEq3bNkyyGQy6Ovr47nnnlN3OEqTkpICOzs7SKVSuLu7Izc3V90hKd3x48cRGBgIKysrSCQSfPnll+oOSSWWL1+OQYMGwcjICD179kRwcDBKS0vVHRZRmzHZJiIilWh6nUfTsmjRInWHpDILFiyAlZWVusNQGV9fX2RmZqK0tBS7du3ClStX/lKzvSrD5cuX0djYiM2bN+PSpUtISkrCpk2b8P7776s7NKWrr6/H+PHjMXv2bHWHojQZGRmIiorCBx98gMLCQgwZMgQBAQFyrw7SBPfu3cOAAQOwYcMGdYeiUjk5OXjnnXeQn5+P7OxsPHjwAH5+frh37566QyNqE85GTkRESte7d29ERUUhKipK3aGo3IEDBxATE4Ndu3bBxcUFhYWFcHV1VXdYKrV3714EBwejrq4OXbt2VXc4KrNq1Sps3LgRP/30k7pDUYm0tDRERUXht99+U3coHebp6YmBAwdi48aNYpmTkxOCg4OxfPlyNUamOhKJBFlZWQgODlZ3KCp3/fp19OzZEzk5ORg6dKi6wyFqNY5sExGRSqxYsQImJiZwdXXFsmXLNPJ23F9//RUzZ87E9u3boa+vr+5wnopbt25hx44dkMlkGp1oA0BNTQ169Oih7jDoCerr61FQUAA/Pz+5cj8/P+Tl5akpKlKmmpoaAODPI3U6TLaJiEjpIiMjkZ6ejqNHj+Ldd9/FunXrEBERoe6wlEoQBISFhSE8PBweHh7qDkflFi5cCAMDA5iYmKCiogJ79uxRd0gqdeXKFaxfvx7h4eHqDoWe4MaNG2hoaIC5ublcubm5Oaqrq9UUFSmLIAiIiYnB4MGD0a9fP3WHQ9QmTLaJiKhVFi9erDDp2aPLuXPnAADR0dEYNmwY+vfvjxkzZmDTpk3Ytm0bbt68qeZePFlr+7l+/XrU1tYiNjZW3SG3S1vOJwDMnz8fhYWFOHz4MLS1tTFlyhR0hifR2tpPAKisrMSIESMwfvx4zJgxQ02Rt017+qlpJBKJ3LogCApl1Pm8++67uHDhAr744gt1h0LUZnxmm4iIWuXGjRu4cePGY+v07t0bUqlUofzq1auwtrZGfn4+PD09VRWiUrS2nxMnTsS+ffvkvsw3NDRAW1sbkyZNwqeffqrqUDukI+fzv//9L2xsbJCXlwcvLy9VhagUbe1nZWUlfH194enpibS0NGhpdY5xifacT015Zru+vh76+vrYuXMnxowZI5ZHRkaiqKgIOTk5aoxOdZ6FZ7bfe+89fPnllzh+/Djs7OzUHQ5Rm3VRdwBERNQ5mJqawtTUtF37FhYWAgAsLS2VGZJKtLafH3/8MZYuXSquV1ZWwt/fHxkZGX/5PygAHTufTX+nr6urU2ZIKtGWfl69ehW+vr5wd3dHampqp0m0gY6dz85OR0cH7u7uyM7Olku2s7OzERQUpMbIqL0EQcB7772HrKwsHDt2jIk2dVpMtomISKlOnTqF/Px8+Pr6wtjYGGfPnkV0dLT4rmZN8WhfDA0NAQD29vawtrZWR0gqcebMGZw5cwaDBw9G9+7d8dNPPyE+Ph729vZ/+VHttqisrISPjw969eqF1atX4/r16+I2CwsLNUamfBUVFbh16xYqKirQ0NAgvhvewcFBvI47m5iYGEyePBkeHh7w8vLCli1bUFFRoXHP3N+9exc//vijuF5WVoaioiL06NFDo/5/feedd/Cvf/0Le/bsgZGRkfjsvbGxMfT09NQcHVHr8TZyIiJSqu+++w4RERG4fPky6urqYGtri4kTJ2LBggUaPWN3eXk57OzsNO7VXxcvXkRkZCTOnz+Pe/fuwdLSEiNGjMCiRYvw/PPPqzs8pUlLS8PUqVOb3aZpX5XCwsKafczh6NGj8PHxefoBKUlKSgpWrlyJqqoq9OvXD0lJSRr3mqhjx47B19dXoTw0NBRpaWlPPyAVaelZ+9TUVISFhT3dYIg6gMk2ERERERERkZJ1noeRiIiIiIiIiDoJJttERERERERESsZkm4iIiIiIiEjJmGwTERERERERKRmTbSIiIiIiIiIlY7JNREREREREpGRMtomIiIiIiIiUjMk2ERERERERkZIx2SYiIiLSUOXl5ZBIJCgqKmp3G2FhYQgODlZaTEREzwom20RERETtIJFIHruEhYUp7NPQ0IDly5fjxRdfhJ6eHnr06IFXXnkFqampYh0fHx9ERUW1OZ7mkmIbGxtUVVWhX79+T9y/pcQ8OTkZaWlpbY6HiOhZ10XdARARERF1RlVVVeK/MzIyEB8fj9LSUrFMT09PYZ/Fixdjy5Yt2LBhAzw8PFBbW4tz587h9u3bKolRW1sbFhYWHWrD2NhYSdEQET1bOLJNRERE1A4WFhbiYmxsDIlEolD2qH379iEiIgLjx4+HnZ0dBgwYgOnTpyMmJgbAw9HpnJwcJCcniyPk5eXlaGhowPTp02FnZwc9PT04OjoiOTlZbHfx4sX49NNPsWfPHnG/Y8eOKYxW3759G5MmTYKZmRn09PTQp08fcVTdzs4OAODm5gaJRAIfHx8xpj+PmDc2NmLFihVwcHCArq4uevXqhWXLlqngEyYi6tw4sk1ERET0lFhYWODbb79FREQEzMzMFLYnJyfjP//5D/r164fExEQAgJmZGRobG2FtbY3MzEyYmpoiLy8Ps2bNgqWlJSZMmIB58+ahpKQEtbW1YvLco0cPVFZWyrUfFxeH4uJiHDhwAKampvjxxx9x//59AMCZM2fw8ssv45tvvoGLiwt0dHSa7UNsbCy2bt2KpKQkDB48GFVVVbh8+bIyPyYiIo3AZJuIiIjoKVm7di3GjRsHCwsLuLi4QCaTISgoCAEBAQAe3rKto6MDfX19udu/tbW1sWTJEnHdzs4OeXl5yMzMxIQJE2BoaAg9PT3U1dU99rbxiooKuLm5wcPDAwDQu3dvcVtT8m9iYtJiG3fu3EFycjI2bNiA0NBQAIC9vT0GDx7cvg+EiEiD8TZyIiIiIhUwNDQUl/DwcACAs7Mzvv/+e+Tn52Pq1Kn49ddfERgYiBkzZjyxvU2bNsHDwwNmZmYwNDTE1q1bUVFR0aaYZs+ejfT0dLi6umLBggXIy8tr0/4lJSWoq6vD8OHD27QfEdGziMk2ERERkQoUFRWJS9Mt4QCgpaWFQYMGITo6GllZWUhLS8O2bdtQVlbWYluZmZmIjo7GtGnTcPjwYRQVFWHq1Kmor69vU0wBAQH4+eefERUVhcrKSgwfPhzz5s1r9f7NTfpGRETNY7JNREREpAIODg7i0rNnzxbrOTs7AwDu3bsHANDR0UFDQ4NcndzcXMhkMkRERMDNzQ0ODg64cuWKXJ3m9muOmZkZwsLC8Pnnn2PdunXYsmWLuD+Ax7bRp08f6Onp4ciRI088DhHRs47PbBMRERE9JePGjYO3tzdkMhksLCxQVlaG2NhY9O3bFy+++CKAh89Rnz59GuXl5TA0NESPHj3g4OCAzz77DIcOHYKdnR22b9+Os2fPijOIN+136NAhlJaWwsTEpNnZ0OPj4+Hu7g4XFxfU1dXhq6++gpOTEwCgZ8+e0NPTw8GDB2FtbQ2pVKrQhlQqxcKFC7FgwQLo6OjA29sb169fx6VLlzB9+nQVfnJERJ0PR7aJiIiInhJ/f3/s27cPgYGB6Nu3L0JDQ/Hiiy/i8OHD6NLl4RjIvHnzoK2tDWdnZ5iZmaGiogLh4eEYO3YsQkJC4OnpiZs3byIiIkKu7ZkzZ8LR0VF8rvvkyZMKx9fR0UFsbCz69++PoUOHQltbG+np6QCALl264OOPP8bmzZthZWWFoKCgZvsQFxeHuXPnIj4+Hk5OTggJCcG1a9eU/EkREXV+EkEQBHUHQURERERERKRJOLJNREREREREpGRMtomIiIiIiIiUjMk2ERERERERkZIx2SYiIiIiIiJSMibbRERERERERErGZJuIiIiIiIhIyZhsExERERERESkZk20iIiIiIiIiJWOyTURERERERKRkTLaJiIiIiIiIlIzJNhEREREREZGSMdkmIiIiIiIiUrL/AxWgag8MDh1ZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sort by absolute t-statistic for better visualization\n",
    "ttest_signif = ttest_signif.sort_values(by='t_stat', key=abs, ascending=False)\n",
    "\n",
    "# make a custom color palette that goes from light to dark based on the q-values\n",
    "norm = plt.Normalize(0.0, 0.1)\n",
    "cmap = plt.cm.Blues_r  # color map\n",
    "bar_colors = cmap(norm(ttest_signif['q_val'])).tolist()\n",
    "\n",
    "# Plot\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "sns.barplot(data=ttest_signif, x='t_stat', y='genus_plot', palette=bar_colors, hue='genus_plot', ax=ax, legend=False)\n",
    "\n",
    "# Make labels\n",
    "ax.set_title('Differentially Abundant Genera in PD patients')\n",
    "ax.set_xlabel('T-Statistic')\n",
    "ax.set_ylabel('Genus')\n",
    "\n",
    "# make a key for q-values\n",
    "sm = plt.cm.ScalarMappable(cmap=cmap, norm=norm)  # create ScalarMappable object\n",
    "sm.set_array([])  # Empty array for ScalarMappable\n",
    "cbar = plt.colorbar(sm, ax=ax)\n",
    "cbar.set_label('q-value')\n",
    "\n",
    "# Show the plot\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WPMlG8w9aCsW",
    "tags": []
   },
   "source": [
    "---\n",
    "# Exercise: Plant a Tree"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hZrVCQE80fAc"
   },
   "source": [
    "One visualization that we did not spend a lot of time on was the phylogentic tree of our ASVs. Let's change that! We have seen that there are genera that appear in multiple populations in the previous step. But are the organisms in that genus actually the same?\n",
    "\n",
    "Let's annotate the tree with our taxonomic classifications and abundances. We will use the empress plugin again but this time with the `community-plot` option. I filled in a template of the command for you. Can you figure out what has to go in the empty spaces?\n",
    "\n",
    "**QUESTIONS:**\n",
    "\n",
    "1) Are some of the branch lengths on the tree longer than you would expect? Do you notice anything interesting or suspicious about the taxonomic identities of these branches?\n",
    "\n",
    "2) Can you find examples of phyla that are polyphyletic (i.e. where clusters of ASVs from the same phylum are found in different locations on the tree, showing different commmon ancestors)? What about polyphyletic taxa at lower taxonomic levels, like at the family or genus levels? Why do you think these patterns exist?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "qf-bY5aci4bv"
   },
   "outputs": [],
   "source": [
    "# This won't run until you fill in the [EMPTY] spots with the right files ;)\n",
    "\n",
    "!qiime empress community-plot \\\n",
    "    --i-tree [EMPTY] \\\n",
    "    --i-feature-table dada/table.qza \\\n",
    "    --m-sample-metadata-file [EMPTY] \\\n",
    "    --m-feature-metadata-file taxa.qza \\\n",
    "    --o-visualization community-tree-viz.qzv"
   ]
  }
 ],
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