[9bc947]: / vignette / maui_vignette.ipynb

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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import urllib.request\n",
    "\n",
    "import pandas as pd\n",
    "from sklearn import preprocessing\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.lines as mlines\n",
    "import seaborn as sns\n",
    "\n",
    "import maui\n",
    "import maui.utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maui version: 0.1.3\n"
     ]
    }
   ],
   "source": [
    "print(f'Maui version: {maui.__version__}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Maui Vignette\n",
    "\n",
    "This vignette demonstrates use of maui to integrate multi-omics data from colorectal cancer (CRC) tumors and cell lines. Data is from the TCGA and CCLE, respectively.\n",
    "\n",
    "#### Dependencies\n",
    "\n",
    "The vignette uses the python packages `matplotlib` and `seaborn` for visualization. These are not required by the maui package and will need to be installed separately."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get the data\n",
    "\n",
    "First, we'll download gene expression, copy number, and mutation data, as well as metadata."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "os.makedirs('data', exist_ok=True)\n",
    "\n",
    "if not os.path.isfile(os.path.join('data', 'cnv.csv')):\n",
    "    urllib.request.urlretrieve(\n",
    "        url='http://bimsbstatic.mdc-berlin.de/akalin/maui-data/coread_for_paper_cnv.csv',\n",
    "        filename=os.path.join('data', 'cnv.csv')\n",
    "    )\n",
    "    \n",
    "if not os.path.isfile(os.path.join('data', 'gex.csv')):\n",
    "    urllib.request.urlretrieve(\n",
    "        url='http://bimsbstatic.mdc-berlin.de/akalin/maui-data/coread_for_paper_gex.csv',\n",
    "        filename=os.path.join('data', 'gex.csv')\n",
    "    )\n",
    "\n",
    "if not os.path.isfile(os.path.join('data', 'mut.csv')):\n",
    "    urllib.request.urlretrieve(\n",
    "        url='http://bimsbstatic.mdc-berlin.de/akalin/maui-data/coread_for_paper_mut.csv',\n",
    "        filename=os.path.join('data', 'mut.csv')\n",
    "    )\n",
    "\n",
    "if not os.path.isfile(os.path.join('data', 'subtypes.csv')):\n",
    "    urllib.request.urlretrieve(\n",
    "        url='http://bimsbstatic.mdc-berlin.de/akalin/maui-data/coread_for_paper_subtypes.csv',\n",
    "        filename=os.path.join('data', 'subtypes.csv')\n",
    "    )\n",
    "\n",
    "if not os.path.isfile(os.path.join('data', 'survival.csv')):\n",
    "    urllib.request.urlretrieve(\n",
    "        url='http://bimsbstatic.mdc-berlin.de/akalin/maui-data/coread_for_paper_survival.csv',\n",
    "        filename=os.path.join('data', 'survival.csv')\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
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       "      <td>-0.001</td>\n",
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       "         TCGA-DM-A1D0  TCGA-4T-AA8H  TCGA-G4-6322  TCGA-AA-A02E  TCGA-CA-5797  \\\n",
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       "FITM2           1.706         0.002         1.575        -0.005         0.684   \n",
       "\n",
       "                ...           SNU1033_LARGE_INTESTINE  SNU175_LARGE_INTESTINE  \\\n",
       "MACROD2         ...                            0.3457                  0.0344   \n",
       "HNF4A           ...                            0.3026                 -0.0230   \n",
       "JPH2            ...                            0.3026                 -0.0230   \n",
       "R3HDML          ...                            0.3026                 -0.0230   \n",
       "FITM2           ...                            0.3026                 -0.0230   \n",
       "\n",
       "         SNU503_LARGE_INTESTINE  SW1116_LARGE_INTESTINE  \\\n",
       "MACROD2                  0.1117                 -1.3792   \n",
       "HNF4A                    0.1117                  0.5808   \n",
       "JPH2                     0.1117                  0.5808   \n",
       "R3HDML                   0.1117                  0.5808   \n",
       "FITM2                    0.1117                  0.5808   \n",
       "\n",
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       "MACROD2                -1.4304                -5.4086                -5.7724   \n",
       "HNF4A                   0.6972                 0.7814                 0.7099   \n",
       "JPH2                    0.6972                 0.7814                 0.7099   \n",
       "R3HDML                  0.6972                 0.7814                 0.7099   \n",
       "FITM2                   0.6972                 0.7814                 0.7099   \n",
       "\n",
       "         NCIH716_LARGE_INTESTINE  HT55_LARGE_INTESTINE  RKO_LARGE_INTESTINE  \n",
       "MACROD2                  -2.8925               -3.7551              -5.9621  \n",
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       "JPH2                      0.6224                0.4145               0.3929  \n",
       "R3HDML                    0.6224                0.4145               0.3929  \n",
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       "\n",
       "[5 rows x 573 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cnv = pd.read_csv(os.path.join('data', 'cnv.csv'), index_col=0)\n",
    "cnv.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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       "      <td>38.123727</td>\n",
       "      <td>3593.373932</td>\n",
       "      <td>190.109445</td>\n",
       "      <td>121.231444</td>\n",
       "      <td>108.279930</td>\n",
       "      <td>...</td>\n",
       "      <td>1.34823</td>\n",
       "      <td>0.05802</td>\n",
       "      <td>0.06332</td>\n",
       "      <td>0.03641</td>\n",
       "      <td>3936.25464</td>\n",
       "      <td>6.57603</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.01018</td>\n",
       "      <td>0.97715</td>\n",
       "      <td>0.00914</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 573 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 TCGA-DM-A1D0  TCGA-4T-AA8H  TCGA-G4-6322  TCGA-AA-A02E  \\\n",
       "Name                                                                      \n",
       "ENSG00000202198      4.855891      9.205568      6.527440      0.595815   \n",
       "ENSG00000211895      0.831433    662.091659   2253.907738    227.896559   \n",
       "ENSG00000034510   3005.830071   2393.902606   2312.832191   2896.691270   \n",
       "ENSG00000087086  13913.949581   1139.065773   1780.765946   2380.278895   \n",
       "ENSG00000102837     46.555391     73.775732    499.938588    339.271345   \n",
       "\n",
       "                 TCGA-CA-5797  TCGA-G4-6317  TCGA-DM-A28C  TCGA-A6-2679  \\\n",
       "Name                                                                      \n",
       "ENSG00000202198      6.004349     45.198805      5.171670      9.297939   \n",
       "ENSG00000211895    259.448507     33.497148     92.531871  26781.944993   \n",
       "ENSG00000034510   2658.153543   3291.309014   2007.805579   5385.831438   \n",
       "ENSG00000087086   3286.305387   2322.741438   2210.857310   1576.866087   \n",
       "ENSG00000102837    146.964388     38.123727   3593.373932    190.109445   \n",
       "\n",
       "                 TCGA-AG-3732  TCGA-A6-2685         ...           \\\n",
       "Name                                                ...            \n",
       "ENSG00000202198      2.890794     15.342999         ...            \n",
       "ENSG00000211895   2012.832725   1666.767573         ...            \n",
       "ENSG00000034510   1299.339179   3863.095508         ...            \n",
       "ENSG00000087086   1134.467501   3661.551885         ...            \n",
       "ENSG00000102837    121.231444    108.279930         ...            \n",
       "\n",
       "                 SNU1033_LARGE_INTESTINE  SNU175_LARGE_INTESTINE  \\\n",
       "Name                                                               \n",
       "ENSG00000202198                 17.83733                88.57648   \n",
       "ENSG00000211895                  0.00744                 0.00000   \n",
       "ENSG00000034510               1941.87000              1972.74072   \n",
       "ENSG00000087086                742.40918               320.07034   \n",
       "ENSG00000102837                  1.34823                 0.05802   \n",
       "\n",
       "                 SNU503_LARGE_INTESTINE  SW1116_LARGE_INTESTINE  \\\n",
       "Name                                                              \n",
       "ENSG00000202198                11.99773                16.09172   \n",
       "ENSG00000211895                 0.04958                 0.66514   \n",
       "ENSG00000034510              1515.57458              1249.52100   \n",
       "ENSG00000087086              5460.72314               597.27704   \n",
       "ENSG00000102837                 0.06332                 0.03641   \n",
       "\n",
       "                 HCC56_LARGE_INTESTINE  SW403_LARGE_INTESTINE  \\\n",
       "Name                                                            \n",
       "ENSG00000202198               22.48761               33.70781   \n",
       "ENSG00000211895                0.00000                0.14382   \n",
       "ENSG00000034510             2919.46118             1542.28381   \n",
       "ENSG00000087086              983.68756              947.93945   \n",
       "ENSG00000102837             3936.25464                6.57603   \n",
       "\n",
       "                 SW837_LARGE_INTESTINE  NCIH716_LARGE_INTESTINE  \\\n",
       "Name                                                              \n",
       "ENSG00000202198               38.01879                 31.32460   \n",
       "ENSG00000211895                0.04817                  0.00885   \n",
       "ENSG00000034510              995.87891               1521.44495   \n",
       "ENSG00000087086             1522.77112               1522.03857   \n",
       "ENSG00000102837                0.00000                  0.01018   \n",
       "\n",
       "                 HT55_LARGE_INTESTINE  RKO_LARGE_INTESTINE  \n",
       "Name                                                        \n",
       "ENSG00000202198              47.65661             63.93004  \n",
       "ENSG00000211895               0.05872              0.00000  \n",
       "ENSG00000034510            2358.62549           1713.55505  \n",
       "ENSG00000087086            2818.78662           4131.83838  \n",
       "ENSG00000102837               0.97715              0.00914  \n",
       "\n",
       "[5 rows x 573 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gex = pd.read_csv(os.path.join('data', 'gex.csv'), index_col=0)\n",
    "gex.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
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       "       TCGA-DM-A1D0  TCGA-4T-AA8H  TCGA-G4-6322  TCGA-AA-A02E  TCGA-CA-5797  \\\n",
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       "TTN               1             0             0             0             0   \n",
       "TP53              1             0             0             0             1   \n",
       "KRAS              0             0             0             0             1   \n",
       "APC               1             1             0             0             0   \n",
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       "\n",
       "              ...           SNU1033_LARGE_INTESTINE  SNU175_LARGE_INTESTINE  \\\n",
       "TTN           ...                                 0                       1   \n",
       "TP53          ...                                 1                       0   \n",
       "KRAS          ...                                 1                       1   \n",
       "APC           ...                                 1                       1   \n",
       "SYNE1         ...                                 1                       1   \n",
       "\n",
       "       SNU503_LARGE_INTESTINE  SW1116_LARGE_INTESTINE  HCC56_LARGE_INTESTINE  \\\n",
       "TTN                         1                       1                      1   \n",
       "TP53                        1                       1                      1   \n",
       "KRAS                        0                       1                      1   \n",
       "APC                         1                       1                      0   \n",
       "SYNE1                       0                       0                      0   \n",
       "\n",
       "       SW403_LARGE_INTESTINE  SW837_LARGE_INTESTINE  NCIH716_LARGE_INTESTINE  \\\n",
       "TTN                        1                      1                        1   \n",
       "TP53                       1                      1                        1   \n",
       "KRAS                       1                      1                        1   \n",
       "APC                        1                      1                        0   \n",
       "SYNE1                      0                      1                        1   \n",
       "\n",
       "       HT55_LARGE_INTESTINE  RKO_LARGE_INTESTINE  \n",
       "TTN                       1                    1  \n",
       "TP53                      1                    0  \n",
       "KRAS                      0                    0  \n",
       "APC                       1                    0  \n",
       "SYNE1                     1                    1  \n",
       "\n",
       "[5 rows x 573 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mut = pd.read_csv(os.path.join('data', 'mut.csv'), index_col=0)\n",
    "mut.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>TCGA-4N-A93T</th>\n",
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       "      <th>TCGA-4T-AA8H</th>\n",
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      ],
      "text/plain": [
       "                     duration  observed  gender        age  stage\n",
       "bcr_patient_barcode                                              \n",
       "TCGA-3L-AA1B              154     False       0  61.312329    1.0\n",
       "TCGA-4N-A93T                8     False       1  67.186301    3.0\n",
       "TCGA-4T-AA8H              160     False       0  42.449315    2.0\n",
       "TCGA-5M-AAT4               49      True       1  74.232877    4.0\n",
       "TCGA-5M-AAT6              290      True       0  40.690411    4.0"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "survival = pd.read_csv(os.path.join('data', 'survival.csv'), index_col=0)\n",
    "survival.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>CMS4</td>\n",
       "      <td>21.304110</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TCGA-A6-2672</th>\n",
       "      <td>tcga</td>\n",
       "      <td>82.0</td>\n",
       "      <td>female</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>IIIB</td>\n",
       "      <td>NaN</td>\n",
       "      <td>msi</td>\n",
       "      <td>CIMP.High</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>CMS1</td>\n",
       "      <td>16.536986</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TCGA-A6-2674</th>\n",
       "      <td>tcga</td>\n",
       "      <td>71.0</td>\n",
       "      <td>male</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>IV</td>\n",
       "      <td>NaN</td>\n",
       "      <td>mss</td>\n",
       "      <td>CIMP.Neg</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>CMS4</td>\n",
       "      <td>17.194521</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TCGA-A6-2675</th>\n",
       "      <td>tcga</td>\n",
       "      <td>78.0</td>\n",
       "      <td>male</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IIA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>mss</td>\n",
       "      <td>CIMP.Neg</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>CMS4</td>\n",
       "      <td>16.931507</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             dataset   age  gender  stage   pt   pn   pm   tnm  grade  msi  \\\n",
       "sample                                                                       \n",
       "TCGA-A6-2670    tcga  45.0    male    2.0  3.0  0.0  0.0   IIA    NaN  NaN   \n",
       "TCGA-A6-2671    tcga  85.0    male    4.0  3.0  2.0  1.0    IV    NaN  mss   \n",
       "TCGA-A6-2672    tcga  82.0  female    3.0  3.0  1.0  0.0  IIIB    NaN  msi   \n",
       "TCGA-A6-2674    tcga  71.0    male    4.0  3.0  2.0  1.0    IV    NaN  mss   \n",
       "TCGA-A6-2675    tcga  78.0    male    2.0  3.0  0.0  NaN   IIA    NaN  mss   \n",
       "\n",
       "                   cimp  kras_mut  braf_mut cms_label       osMo  osStat  \\\n",
       "sample                                                                     \n",
       "TCGA-A6-2670   CIMP.Neg       0.0       0.0      CMS4  13.906849     0.0   \n",
       "TCGA-A6-2671   CIMP.Neg       0.0       0.0      CMS4  21.304110     0.0   \n",
       "TCGA-A6-2672  CIMP.High       0.0       0.0      CMS1  16.536986     0.0   \n",
       "TCGA-A6-2674   CIMP.Neg       0.0       0.0      CMS4  17.194521     0.0   \n",
       "TCGA-A6-2675   CIMP.Neg       0.0       0.0      CMS4  16.931507     0.0   \n",
       "\n",
       "              rfsMo  rfsStat  \n",
       "sample                        \n",
       "TCGA-A6-2670    NaN      NaN  \n",
       "TCGA-A6-2671    NaN      NaN  \n",
       "TCGA-A6-2672    NaN      NaN  \n",
       "TCGA-A6-2674    NaN      NaN  \n",
       "TCGA-A6-2675    NaN      NaN  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subtypes = pd.read_csv(os.path.join('data', 'subtypes.csv'), index_col=0)\n",
    "subtypes.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scale gene expression data of TCGA and CCLE separately and together\n",
    "\n",
    "The gene expression data (FPKM / RPKM) from CCLE and TCGA need to each be scaled separately before being jointly normalized, in order to map them to the same space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
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       "    .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>TCGA-DM-A1D0</th>\n",
       "      <th>TCGA-4T-AA8H</th>\n",
       "      <th>TCGA-G4-6322</th>\n",
       "      <th>TCGA-AA-A02E</th>\n",
       "      <th>TCGA-CA-5797</th>\n",
       "      <th>TCGA-G4-6317</th>\n",
       "      <th>TCGA-DM-A28C</th>\n",
       "      <th>TCGA-A6-2679</th>\n",
       "      <th>TCGA-AG-3732</th>\n",
       "      <th>TCGA-A6-2685</th>\n",
       "      <th>...</th>\n",
       "      <th>SNU1033_LARGE_INTESTINE</th>\n",
       "      <th>SNU175_LARGE_INTESTINE</th>\n",
       "      <th>SNU503_LARGE_INTESTINE</th>\n",
       "      <th>SW1116_LARGE_INTESTINE</th>\n",
       "      <th>HCC56_LARGE_INTESTINE</th>\n",
       "      <th>SW403_LARGE_INTESTINE</th>\n",
       "      <th>SW837_LARGE_INTESTINE</th>\n",
       "      <th>NCIH716_LARGE_INTESTINE</th>\n",
       "      <th>HT55_LARGE_INTESTINE</th>\n",
       "      <th>RKO_LARGE_INTESTINE</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Name</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>ENSG00000202198</th>\n",
       "      <td>-0.089120</td>\n",
       "      <td>-0.088563</td>\n",
       "      <td>-0.088906</td>\n",
       "      <td>-0.089667</td>\n",
       "      <td>-0.088973</td>\n",
       "      <td>-0.083947</td>\n",
       "      <td>-0.089080</td>\n",
       "      <td>-0.088551</td>\n",
       "      <td>-0.089372</td>\n",
       "      <td>-0.087775</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.533138</td>\n",
       "      <td>2.542210</td>\n",
       "      <td>-0.787012</td>\n",
       "      <td>-0.609028</td>\n",
       "      <td>-0.330970</td>\n",
       "      <td>0.156823</td>\n",
       "      <td>0.344240</td>\n",
       "      <td>0.053214</td>\n",
       "      <td>0.763240</td>\n",
       "      <td>1.470719</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENSG00000211895</th>\n",
       "      <td>-0.523424</td>\n",
       "      <td>-0.202332</td>\n",
       "      <td>0.570615</td>\n",
       "      <td>-0.413167</td>\n",
       "      <td>-0.397846</td>\n",
       "      <td>-0.507563</td>\n",
       "      <td>-0.478897</td>\n",
       "      <td>12.480840</td>\n",
       "      <td>0.453555</td>\n",
       "      <td>0.285514</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.491682</td>\n",
       "      <td>-0.512073</td>\n",
       "      <td>-0.376185</td>\n",
       "      <td>1.310930</td>\n",
       "      <td>-0.512073</td>\n",
       "      <td>-0.117894</td>\n",
       "      <td>-0.380050</td>\n",
       "      <td>-0.487817</td>\n",
       "      <td>-0.351135</td>\n",
       "      <td>-0.512073</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENSG00000034510</th>\n",
       "      <td>-0.033693</td>\n",
       "      <td>-0.404153</td>\n",
       "      <td>-0.453233</td>\n",
       "      <td>-0.099766</td>\n",
       "      <td>-0.244176</td>\n",
       "      <td>0.139135</td>\n",
       "      <td>-0.637896</td>\n",
       "      <td>1.407156</td>\n",
       "      <td>-1.066801</td>\n",
       "      <td>0.485294</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.258449</td>\n",
       "      <td>-0.229124</td>\n",
       "      <td>-0.663397</td>\n",
       "      <td>-0.916127</td>\n",
       "      <td>0.670186</td>\n",
       "      <td>-0.638025</td>\n",
       "      <td>-1.157067</td>\n",
       "      <td>-0.657820</td>\n",
       "      <td>0.137436</td>\n",
       "      <td>-0.475331</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENSG00000087086</th>\n",
       "      <td>8.178617</td>\n",
       "      <td>-1.318908</td>\n",
       "      <td>-0.841834</td>\n",
       "      <td>-0.396125</td>\n",
       "      <td>0.277463</td>\n",
       "      <td>-0.438901</td>\n",
       "      <td>-0.522082</td>\n",
       "      <td>-0.993424</td>\n",
       "      <td>-1.322327</td>\n",
       "      <td>0.556441</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.653667</td>\n",
       "      <td>-1.081281</td>\n",
       "      <td>4.123571</td>\n",
       "      <td>-0.800612</td>\n",
       "      <td>-0.409376</td>\n",
       "      <td>-0.445570</td>\n",
       "      <td>0.136440</td>\n",
       "      <td>0.135698</td>\n",
       "      <td>1.448641</td>\n",
       "      <td>2.778090</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ENSG00000102837</th>\n",
       "      <td>-0.511785</td>\n",
       "      <td>-0.490640</td>\n",
       "      <td>-0.159594</td>\n",
       "      <td>-0.284401</td>\n",
       "      <td>-0.433786</td>\n",
       "      <td>-0.518334</td>\n",
       "      <td>2.243403</td>\n",
       "      <td>-0.400271</td>\n",
       "      <td>-0.453776</td>\n",
       "      <td>-0.463837</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.158675</td>\n",
       "      <td>-0.161104</td>\n",
       "      <td>-0.161094</td>\n",
       "      <td>-0.161145</td>\n",
       "      <td>7.250145</td>\n",
       "      <td>-0.148832</td>\n",
       "      <td>-0.161213</td>\n",
       "      <td>-0.161194</td>\n",
       "      <td>-0.159373</td>\n",
       "      <td>-0.161196</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 573 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 TCGA-DM-A1D0  TCGA-4T-AA8H  TCGA-G4-6322  TCGA-AA-A02E  \\\n",
       "Name                                                                      \n",
       "ENSG00000202198     -0.089120     -0.088563     -0.088906     -0.089667   \n",
       "ENSG00000211895     -0.523424     -0.202332      0.570615     -0.413167   \n",
       "ENSG00000034510     -0.033693     -0.404153     -0.453233     -0.099766   \n",
       "ENSG00000087086      8.178617     -1.318908     -0.841834     -0.396125   \n",
       "ENSG00000102837     -0.511785     -0.490640     -0.159594     -0.284401   \n",
       "\n",
       "                 TCGA-CA-5797  TCGA-G4-6317  TCGA-DM-A28C  TCGA-A6-2679  \\\n",
       "Name                                                                      \n",
       "ENSG00000202198     -0.088973     -0.083947     -0.089080     -0.088551   \n",
       "ENSG00000211895     -0.397846     -0.507563     -0.478897     12.480840   \n",
       "ENSG00000034510     -0.244176      0.139135     -0.637896      1.407156   \n",
       "ENSG00000087086      0.277463     -0.438901     -0.522082     -0.993424   \n",
       "ENSG00000102837     -0.433786     -0.518334      2.243403     -0.400271   \n",
       "\n",
       "                 TCGA-AG-3732  TCGA-A6-2685         ...           \\\n",
       "Name                                                ...            \n",
       "ENSG00000202198     -0.089372     -0.087775         ...            \n",
       "ENSG00000211895      0.453555      0.285514         ...            \n",
       "ENSG00000034510     -1.066801      0.485294         ...            \n",
       "ENSG00000087086     -1.322327      0.556441         ...            \n",
       "ENSG00000102837     -0.453776     -0.463837         ...            \n",
       "\n",
       "                 SNU1033_LARGE_INTESTINE  SNU175_LARGE_INTESTINE  \\\n",
       "Name                                                               \n",
       "ENSG00000202198                -0.533138                2.542210   \n",
       "ENSG00000211895                -0.491682               -0.512073   \n",
       "ENSG00000034510                -0.258449               -0.229124   \n",
       "ENSG00000087086                -0.653667               -1.081281   \n",
       "ENSG00000102837                -0.158675               -0.161104   \n",
       "\n",
       "                 SNU503_LARGE_INTESTINE  SW1116_LARGE_INTESTINE  \\\n",
       "Name                                                              \n",
       "ENSG00000202198               -0.787012               -0.609028   \n",
       "ENSG00000211895               -0.376185                1.310930   \n",
       "ENSG00000034510               -0.663397               -0.916127   \n",
       "ENSG00000087086                4.123571               -0.800612   \n",
       "ENSG00000102837               -0.161094               -0.161145   \n",
       "\n",
       "                 HCC56_LARGE_INTESTINE  SW403_LARGE_INTESTINE  \\\n",
       "Name                                                            \n",
       "ENSG00000202198              -0.330970               0.156823   \n",
       "ENSG00000211895              -0.512073              -0.117894   \n",
       "ENSG00000034510               0.670186              -0.638025   \n",
       "ENSG00000087086              -0.409376              -0.445570   \n",
       "ENSG00000102837               7.250145              -0.148832   \n",
       "\n",
       "                 SW837_LARGE_INTESTINE  NCIH716_LARGE_INTESTINE  \\\n",
       "Name                                                              \n",
       "ENSG00000202198               0.344240                 0.053214   \n",
       "ENSG00000211895              -0.380050                -0.487817   \n",
       "ENSG00000034510              -1.157067                -0.657820   \n",
       "ENSG00000087086               0.136440                 0.135698   \n",
       "ENSG00000102837              -0.161213                -0.161194   \n",
       "\n",
       "                 HT55_LARGE_INTESTINE  RKO_LARGE_INTESTINE  \n",
       "Name                                                        \n",
       "ENSG00000202198              0.763240             1.470719  \n",
       "ENSG00000211895             -0.351135            -0.512073  \n",
       "ENSG00000034510              0.137436            -0.475331  \n",
       "ENSG00000087086              1.448641             2.778090  \n",
       "ENSG00000102837             -0.159373            -0.161196  \n",
       "\n",
       "[5 rows x 573 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gex_tcga = maui.utils.scale(gex.loc[:,gex.columns.str.contains('TCGA')])\n",
    "gex_ccle = maui.utils.scale(gex.loc[:,~gex.columns.str.contains('TCGA')])\n",
    "\n",
    "gex = pd.concat([gex_tcga, gex_ccle], axis=1)\n",
    "gex = maui.utils.scale(gex)\n",
    "gex.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----------------------------------\n",
    "\n",
    "## Fit maui model\n",
    "\n",
    "With normalized data, we are ready to fit a maui model.\n",
    "\n",
    "### Setting up tensorflow to only use 1 CPU cure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from keras import backend as K\n",
    "K.set_session(K.tf.Session(config=K.tf.ConfigProto(intra_op_parallelism_threads=1, inter_op_parallelism_threads=1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fitting the maui model and infering latent factors in multi-omics data\n",
    "\n",
    "The `Maui` model implements `sklearn`'s `BaseEstimator` interface. So first we instantiate a model, with the parameters we desire, and then we may fit it using either `fit()` or, to get latent factors out directly, using `fit_transform()`.\n",
    "\n",
    "We'll instantiate a stacked autoencoder with one hidden layer with 1100 nodes, and a latent layer with 70 nodes, which we'll train over 400 epochs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 8min 15s, sys: 51.1 s, total: 9min 6s\n",
      "Wall time: 9min 8s\n"
     ]
    }
   ],
   "source": [
    "maui_model = maui.Maui(n_hidden=[1100], n_latent=70, epochs=400)\n",
    "%time z = maui_model.fit_transform({'mRNA': gex, 'Mutations': mut, 'CNV': cnv})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Checking model convergence "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f8c11ea92e8>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "maui_model.hist.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----------------------------\n",
    "\n",
    "## Latent factor representation\n",
    "\n",
    "We now have a set of latent factors, `z`, which describe the variation in the data, across the different omics types.\n",
    "\n",
    "Let's first see if these latent factors reproduce the known sub-types from the literature. The CRC tumors in the TCGA data have an associated \"Consensus Molecular Subtype\" (CMS) --- but some samples do not belong to a CMS subtype. Let's first focus on the ones that do."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = subtypes.cms_label\n",
    "y_cmsonly = y[y!='NOLBL']\n",
    "y_cmsonly = y_cmsonly.loc[list(set(y_cmsonly.index) & set(gex.columns))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8c11dbcef0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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eV/90NWvT1ta677qWGd+4caMnfyIxMZEFC+puAFAabUZxDqNUMN2XSBQhCDYZ+OLWC7j9i00UWp2EmPT8b0r/BhkND+0QzdAOvkmaLFu+1alKr03Xs+FAZjGOUsqxdqfK/syiOum7rgj1Cy0nayKEwKSve7VWRREE+ulJKUpB5fRM1eK0cDD/YJ1fzxekFqby4O8PYnVay73nlE6cTicP/v4g88fOr/HM4pTM+JQpU5g7dy4AO3bs8JIZf+GFF4Azy4yPGzcOgL///huA7t27s3nzZvR6PcePHycxMZGxY8ei19fto12bUZzDdIsJoXVkgGcfwKRXSIwNIy7CvbTUt004W58cyc6nL2PrkyPp26b+o558zfherfA3nP6amwwKo3vUTRJUYmwYfqX2WPz0Coll1usbmoEtB9Ijqgf+en/0ih6TzsRD/R5Cr/hujNgutJ3XLMZf70/niM4+u15d8sWeL3C6KtftcrqcfLnnyxr37QuZ8YCAAI9TsFqtPtsL0mYU5zB6ncL3dw7mjeX72Z9RRGJcGPdf0qF8YlBjUu+sYx4d3Rm9TvDjjnQCjXqeGNOl3OZrbXnsis7sTi9gb0YhAL1Pfr6NCZ2i48ORH7I8ZTmZ5kx6RvekT/M+Pr3mK0Nf4eZlN1NoK8QlXVwcdzFXJlzp02vWFYuTFuOUVTgK6WRx0mKeGPhEjfr2lcz4hg0buPXWW0lJSeGrr76q89kEaI7inCfIT8/TY7tVfeI5il6n8OjoLjw6uhrSDTUk0E/P/OmDST1hQQiIDfdvlNE9OkXH6Laj6+16LYNasmTCEpILkwkwBNAqqOkUuipxlFTrPLOj7mXlR40axZNPPknz5s0rlBm//PLLWbZsGYsWLeLDDz9kx44d+Pn5MWDAAHbv3s3evXuZMmUKo0ePxmSq26VFbempiVJid1JkraLAiobPEULQOjKAuIiARukkGgqDzkCH8A5NykmAW4qjOtRGnsNXMuOn6NKlC0FBQeWO1wWao2hiuFTJg99up+czy+n93AqmfLqx3Ibt2XC8wML6QzmknqjeyEpD41ziyoQr0YvKF1r0Ql+rpTRfyIwfOXIEp9O9VJaSksK+ffuIj4+vsW1VoTmKJsYn65JYuus4TlXiVCV/JeXy8pK9ddL3gq1pXPz6au74egsj3/ydL9Yn10m/GhpNhSldp6DXVeEodHpu7npzjfv2hcz4unXrSExMpFevXkyYMIH33nuPqKi6VymoF5lxX3M+yYzf+vkmVu7z1pvv3CKYZTOGnVW/BSUOLnjpV68EPJNe4beHh1epnbTtaB5bUvKIDvZjTI+WjUK2IavIytoDOeh1gku6NG9c5TY1GoTqyoyvTVvLg78/iNPl9NrY1gs9ep2eNy96k6GxQ31pqk84G5lx7a+nidEmMgCDTniS6HSKIDb87DOpjxdaMOgEtlIBHwa9QtqJkkodxdyNR3nmp92oqkSvU/hmw1G++efABq2tfSiriAnvrcd1Msch1H8fP983lAhNfrzGbEk5wXeb0zDoBLcMjqd9s3O/kt/Q2KHMHzufL/d8yeKkxZgdZgINgVyZcCU3d735vMzM1hxFE2PGJR35bW8WuWZ3YXV/g45nx3Wvst2hrCLWH84l1N/A5d1aYCqjpxQbHoBaZnLpcKm0jT7zpp2Ukqd/3O2ZhdhdLv4+VsDyPRmYbS7yzHYGJkTSIza0hnd5djy1aDfFNienJssOp8p/Vx3kySvP3+iv2rDmQDbTvtqM1aEigPlbj7Hw7gvPi7KvcSFxPDHwiRqHwJ6raI6ijlFLSnBkZKBv1hxdUN3LYYQGGFj+wDDWH87B6ZIMSIgk1L/ybOrfD2Rzx1ebQbqzZ99ffZiFd1/o5SyC/PS8f2Nf7vp6i7umgCp5fWIizYLPHGZnd6k4XOWLyD+/eA/5JQ4cLhWdInhtYiJjE2Nqdb9SSj5fn8wn644ggDsuaseNA9tU2iaz0ErpFVWHKjmWXz7TVqNy3lxxwCN/IgGL3cXHa5J4bVJiwxqmUe9ojqIOKV67lrT77kcIgVRVYl59hZDLq6/J/9veTD5ak4SUcMdFCVzSpeLCLyaDjhGdq18U5pF5Oz1/8AApuWbmbz3GPwZ4i+9d1DGazTMvJT3fSotQU5Xr+n56HV1ahrAvo5BT/sLhUjlhtnuu53BJZi7cVWtH8d3mNP69bL9HivzFn/cSaNQxoU/sGdsM7RDNsTwL1pMzHX+DjotqUAxJw03ZaDoJXpLwGucPDb/reI7gKi4m7b77kRYLakkJ0mol/ZFHcWZnV6v9qn1Z3P3NVjYcOcHG5BPc/c1WVu7LrPb17amppN41naTxE8h87XWk3e55r9DinW9hc6qcOLl0VZYAo572zYKqvfn72S39SYwNQ68IooKMTOobV24Jq/jkxscpyfNpX27mi/VHUMueWAHfl6lXYXG4mLf1WKVtHh3dmeGdm6ETAr0iuGFga67rf/6tK58t110Qh3+pWafJoHBtP+1zPB/RZhR1hOPYMYSiUPrRJwx67Ckp6KOrHs1+su6I16jf6lD5ZN2Ras0cnHl5JE+6FldhIagq9uRkHGlpxL49C4ABbSNYdyjHswFu1CsMSIis2Q2egWYhJuZPv9Dzek96IfO3pXleGxRB3/hwSuxOxv5nHRmFbjXbtQdzOJBZzIsTelTaf0XyIoF+lctVmww6PrixL06XiiIESgNurDdlpgyKR1Xhq79SMOoUZlzaoUZlapsy9qNHyf3sMwp//Am1pAQlIICQq8YSOXUqxtZ1J4PfVNBmFHWEoUULpNNbI0baHRhaVS8ztaKkXkH1HnDmdX+g2u2gnlxPtlopWrHCM6uYNbk3/eMj0AlBoJ+OZ6/qTv/4iMq6rDVdY0KYNbk34QEGDDpB/7YRfHBjX9YcyOGE2e5xVhaHi7mbUrE7y+9xlObBkR09o1oBBBh13FdNPSW9TtGcxFkghODWIW1Z9fBwfnlgWJ2JKTZ2itesIWncePK//wHVbAYpUc1m8r//gaRx4yles6bWfde1zPgpjh49SlBQEK+//nqtbasMbUZRR+hCQ2nx7DNkPPMswmBA2u00+9fDGFpW74/rzovasSn5hGdWYTIo3HlRu2q1FRXlLQjh8T6hAQa++edApJReMhNmmxOrw0VEoLFa8hOHs4tJyTWTEBVEfCV1K0Z1b8Go7i28jjnVih1C2RKaZUmMC2PB3YP5YXMaQsDk/nHnRYimRsNgP3qUtPtnIC2W8m86nUink7T7Z5CwaGGNZxa+kBk/xYMPPsjo0b7T89IcRR0SNn48gQMGYE9OxhDXGmNs9XVuLmwfxadT+vPJH0eQEm4f0rbadaADhw1DFxyM024Hp5M9LTtRNGQEuhNWOjY/HRF1yhlIKXlu8R6++jMFRQg6NA/i69sGEF5JnsEn65J47Zf9GHQKDpfKk2O6ckMV0Ude99cuCoNeQXG4UKVbkvvC9lHlwnQronOLEGZe2bXa16qKAouDJxfuYkdaPvGRgbx0dY8qkwo1zg9yP/sM6ahcQ006HOR+/gUtn3qyRn2fSWY8OTnZS2a8X79+HpnxU+qxZ5IZB1i4cCFt27YlMNB3Rce0pac6xtCyJYGDBtXISZxicPsoPpnSn09v6V9tJwGgCwqi7fx5hE28hg9G3c3MgbfzmujIVe+uq7Ca24870pm7MRWnKrG7VA5kFPHwDzvO2H96voV/L9uP1aFSZHVidag8t3gPucUVb4hXRHigkYXTL2RI+yg6NAticr843rvBt3LXFSGl5Mb//cXSXemk5Jaw5mAmV727BrOtcmlpjfODwh9/AmcV3wWnk8Ifa16xr7oy46mpqR6Z8VOckhkfPXo0b731Fvn5+QAUFxfz6quv8vTTT9fYnpqgOYpzBH1kJDm3P8Dy4PZYpMBsd2F1qDz1424sZSq6bUnJ84okcqiSHan5Z+z7eIHFU/zoFAadQkZhzXIT4qMC+fK2Aax48CKeG9+9WrOJMyGl5Ks/kxnzzlomfbCev5Jyq9XueIGV/ZlFnLp9KRVOlBTz897dtbZF49xBLameGKZq9o3M+IoVK5g7d26FMuN79+5l0qRJrF69moEDB2Kz2XjmmWd44IEHCAoKqnN7SqM5inOIjEIrep33XoOUkrwS75F/fGQgplIPfgHEVLL00jYqCKfLey9BlZLWEQGsP5zD2P+s45I3VvOf3w5WK+S1Lvhk3RFeWrKP3emFbErO45bPNlbq7E5h1Cs4ylQwk1LwU5Jvag1rNC2UgOrJjCu1WObxhcz4hg0b+L//+z/i4+OZNWsWL730Eu+++26NbasKzVGcQ3SNCcFRJorI4ZJ8svaI17F/DGhN55bBBBp1BPnpCfHX83oF2baqKnl+8R4GvfwbDpeKXhH4G3QEGnV8dFM/UnJLuO3zTfx9rIDD2WbeW32Yt3494NN7PMWXf6Z4zYqsDpUftqRV0sJNVJAfUVHHQJzMMxEOFL9s9P5Vt9U49wm5aixUVSFOryfkqqtq3LcvZMbXrl1LcnIyycnJzJgxg8cff9wTKVWXaI6iDtiUfIKhr66ky5PLuPbDP8kuqv7afUVY7C62p+ZzKKuYmqj7tgrz56HLOpY7/uVfKezPKGTSB+tJfHY5E99fz4vju3NlYkvaNwtiYt9Y4sLLj6T+ty6JbzYcxeZUcaoSvSK49cJ4tj41kiEdovhxRzqWUrkfFoeLbzelluvHF+jLhL0KwKCrXijsQ1dEEtTiN/TBOzBGriYi4Quuaj/GB1ZqNDUip05FGCqXxBEGA5G3lJcCrwpfyIzXF5rM+FmSnm/h0jd/p+TkPoBeEXRsHsyS+2snQ5ycY2biB+uxOlScqsqIzs149/o+1c4HWHswm+lfb6Wo1OasSa8QHmgkq8iGS5UI4bZTEWBzSvQ6iWLMIKrD54xvfxUP9XsInaJj0gfr2ZSc59V///hwvr9zMABvLt/Pf1cdovSqVKswf/54dESt7r0mLNiaxmML/vYI1vkbdfx4zxDaN6t6rVZKyae7PuXrvV8jEEzpNoWbu96sVag7x6muzHjxmjXuEFmHw3tjW69HGAzEvj2LoGFnJ+vfEGgy4w3I5pQ8r2Q5pyo5kFlEsc1ZqxoI98/dxgmz3SODsWpfNgu2HeOavmfWNipNj1ahXvboFEF4oJH8EodHdltKPIlvAE6XAFsE+YUhfH/gewIMAdzT+x6ig00I8GSbKwKiS4kETr6gNZ+tT8Zsc6JKd0b0gyPLz2gqwuwwk5SfRIR/RK3KZU7oE0uQycD3m1MJ9NNz50XtquUkwD2yu63HbdzW47YaX1fj3Cdo2DASFi0k9/MvKPzxR1SzGSUwkJCrriLylinnZWa25ijOklB/AxVNykz62q3qHckxe2klWRwuDmYVVbt9WICRudMGcf/cbRzLt9C5RTDPXtWNa97/s4qWEin1WF1Wlicv5/bud1Fic3qchE645TQeGdXJ06JVmD9L7hvKR2uSyLfYGdYhmisTTycYSilZdyiH4wVWEmPD6NTCnSi3O3c305ZPQ5UqDtXB5E6T+Vf/f1X7Hk8xsmtzRnatvjiihkZ1MbZuTcunnqxxrsS5iuYozpIh7aPoHhPC38cKsTld+Ol1zLi0Q62rvLVrFsSO1HyPs/A36ujcIqRGfXSNCWHFgxd5HbumbysWbk/HYnfhb1DQKQKbw4V7i8GFUCzoTO79hRC/EJ77aY9XyKkE7hvRnjaR3tEecREBXNKlGdNnb+XXPVk88+NuPripL0PaR3HvnG2eanyqlLw0oQdX94llxsoZFNoLPX18f+B7hsYOZWDLgTW6Tw2NmlJWneB84Wy3GDRHcZboFMHsfw5kwbZjZBZY6d06nCEdal+z9p3rejPxg/UU25w4XZJR3VowrlftJLpL89KEHgxqF8XuYwW0iw5iZLfmPL94D1uP5pJh34GpxSKkomLUm3i438Pc/Wm2R6YbQJXwxooDTOrf2qv+RX6Jnemzt3r2aADu+GoL71zfm5X7sryOPzb/b8YmtiSzxFsVV5UqRwqOaI6iCZJpzmR37m4iTBEkRic26oewyWQiNzeXyMjIRm1nXSOlJDc3F5PpzLVlqkJzFHWAQVd38stxEQGs+b+LScpxShPjAAAgAElEQVQ2E+SnJy6ienHdVSGE4KrEGK4qVRfizWt7AZBd0pPFSeHYXXYubXMp7cLaERm0jmP53no3dpfkx+3HuGlQvOfYkRwzSpk/OkUI9h0vKid0qEpJiV2lRWALjpuPlzpfoV1o9XStNBoPG49v5J6V96AIBVWqDIsdxmvDXmu0D+HY2FjS0tLIrqb0/7mEyWTykgCpKZqjaIScKghUX0QHRDO1+1SvYy+M785V7/7hdUxQvnBNy1D/clXuLA4XQoCz1HEhoHmIiRCTnrcvfpvbl9+OS7pwqk4md5rMBS0vOOv7SM4xsy+jiNhwf7q3qt/yq+cjD//+MBbn6cHE2rS1rElbw0VxF1XSquEwGAy0bdu2oc1okmiOQqNCesaGcVnX5qzcl4Xz5IaJQadwcadmXue1CDXxyKhO/PuX/aiqxH4ymuq/qw7RuUUIBzKLsDlV4iIC+GLqBQgh6BLZhRUTV3Ck8AgRfhG0DDp7+eqF247x6Pyd6BUFlyq5cWBrnhhTd0KCGt6oUiXf5p0J75Iur5mihm+QUrI9ezsZ5gy6RHQhPjTe59fUHIXGGXnn+t48v3gPv+7NJMzfyLPjutGheXmJ71uHJDCoXRRX/mcd4K63XWJ3cTCrmM+nXkBiXFg5XacAQwDdIruV66s2WB0uHpm3E5tTBdyzmK//OsqE3rF0jam/mdn5hCIU4kPjSS5IRp6MjRO4BwEavkNKydPrn2ZZ8jIUFFzSxbODn+WKhCt8et3zNjPbuv8ASVeNY3+//iTfcCOOjIyGNqnRYTLoeHFCDzY8fim/PDCMgZVUxYsO9kNXwV5FXon9rMT/qsMJs73cfoheJ0jPr6CmgEad8e6Id2ke2Bw/nR8GxcB9fe4jMbq8FIxG3bEjewfLkpdhcVowO81YXVaeWv8UTtW36sfn5YzCVVBAyk03oRa6QzQt27eTMmUK7ZYsQeh8+1A7V4kMNNIi1ERaXokntNclJYlxYT6/drNgP/wNOq9Ssg6X6snb0PANrUNa88s1v5BrySXIGIS/Xqvp4WsyzBkoZcb3qlQxO8yE+vluX+68nFFYdu3ylA0FwOXCmZmF8zyZVaTnW3jx5z08Mm8n6w7m1EmfQghm3z6Ajs2D3RncQX58MqUfLUN9//DQ6xS+vHUA4QEG/PQKJr3CG5MS6yxi7HziVBnQQ5ddTvb77yPPUJnwFIpQiA6I9rmTcBWbcebknHU+QFOnS2QXXNI7oCTcFE6I0bdLrA06oxBCJANFgAtwSin7CSEigG+BeCAZuFZKmXemPmqDLigIqXp/2LhctZIObmpkFFgZ/fZaiqwOVAmLth/j1at7Mq63t4zGX0m5rN6fRUSgkesuaE2IqXKhNHCH9i6bMaxOk5pUi4WsN9/EsnUbxrZtaf7oI+ijyuep9IgNZfPMkeQW2wgLMJarn9FYkKqKbd8+pMOBX+fOKH5+DW2Sh5Kt20i7736k1V1nJPejj8GlEn3P3Q1mk5SSzFdfJe/r2QhFwdg2ntaffYY+ovKa71JK8r6ZQ97s2aAoRE2/i9ArfLuOXx+0CWnD8xc+z8w/ZqJKlXBTOB+N/MjnIckNKgp40lH0k1LmlDr2b+CElPIVIcSjQLiU8pHK+qmpKKBUVVKn3UHJli1IiwXh70/YpIm0ePzxWt5J02HWigP8Z9Uhj+4TQGy4P+seOS3kN29LGk8sdAvuGXUK0cF+LJsxlOBqOIu6RErJ0VumYtm+HWmzgV6Pvlkz2v28GMW/6S1zqDYbR2+9DeuePQhFQRcWRps532Bo1qzqxvVAxvPPkzf7G69j+pgYOqz8rYEsgsKlS0l//InTNaz1egIHDaL1xx9V2i7v2+/IfOUVTzthMtFq1lsEDx/uY4vrB5fqothRTIgx5KycRHVFARvjsGsc8MXJn78Axtf1BYSiEPfB+7SY+QSR06YR88orNH/ssbq+TK1wqZKlfx/n8z+OsL0ahXhqisXh8nISwMloodO8+PMez3q/3aWSW2xj4bZjdW5LVbhyc7Fs2+Z2EgBOJ2pBAZbt2+vdlrrgxKefYd21C2mxoJrNODIzyXjmmYY2y4Mw+YPi/UgQxjPXUa8PSrZtP+0kAJxOrLt2Vdku/7vvvNpJq5X8H37whYkNgk7REeoXWm/JjQ29mS2B5UIICXwopfwIaC6lPBWMnQH4RPVN6PWEXXONL7quNaoqmfrZRjan5HnkwJ++sivXD2hTZ9doE1l+3f7yMsJ6pWtMgFsR11ymnGq9cKY/AtEYxzdVYz2w/7TTA3A6sR0+3HAGlSH8+uvJ//ZbdzlQVUWYTEQ/MKNBbTK2bo0wmTzLYQiBvmXVeTfCVH5JT/GrvYTF+U5D/8UNkVL2AUYDdwshvETepXtdrMK1MSHENCHEZiHE5nMlJX/toRy2pORRYndhc6qemtdlZwBnw9d/pXi9PlXLoTSXdmmGX6k1fr1OMKxDdJ3ZUF30kZEEDh6MOKVRYzSij47Gv0/verelLvDv3v30vQAYDJiqUR+hvjDGtqLtgvmE33ADoVdfTdz77xF6+eUNalP4tZMwdemCCAhACQpCCQoi5pWXq2wXfe+9pz9rIRD+/kRO+6ePrT13aTSFi4QQzwDFwD+B4VLK40KIlsBqKWWnyto2ZOGiumTBtjRmLtjlNXrXKYKdT19GYC1qW1TEkFdXkpbnnV8QYNQxoXcrnryyKyaDDovdxRML/mbV/iyCTQaeH9+dizrWv6MAkHY7OR9+SMnWrfi1TSD6/vvQhTZNeQ7pcJB69z2UbNgAioIhJoY2X3+FPjy8oU1r1EiXi5LNW1BLzPj36lXtz8uyfTt5P/yA0OsJ/8c/MHWsXq2U84nq7lE0mKMQQgQCipSy6OTPK4DngEuA3FKb2RFSyv+rrK9zxVGk5JoZNWutR09JJwQJ0YHlJMPPhhd/3sNXf6V45RyAu4zo8I7N+HhKld8ZjbNASokjLQ3pcLiXVaqqz6yh4UOawmZ2c2CdEGIHsBH4WUq5DHgFGCmEOAhcevL1eUGbyEDev7EPEQFGFAFdWgbz5W1nL5ZXmkdGdebafnGYDN6/eodLsmJvJk/9+jmLkxbjKhs+XAmOzCxS77yLQyMvI+3ee3GeOOF5z+K0UGArOO/j308hhMAYF4dfQoLmJDSaDI1m6elsOFdmFKXxdYGV7zalMnPhLuxllF+FvoCQVksQ+ZcTH9KWfw5NYEzPM9fDUG02kkZfgSMzE1wu0Osxtm5N20ULeX3bW8zZNwchBJ0jOvP+pe/7NHtUQ0OjZjSFGYVGJfg67G10jxblZhUA0hlCQco15BdEsD21gIe/38myXWdWBLXt34+roMDtJACcThwZGfz6x1f8cPAHnNKJQ3Ww78Q+nln/TIV9OFwqz/20mwEv/crFr69m5b7MCs9riuzK2cW/N/6bWVtmkVaU1tDmaGjUCs1RNCHS8y3cO2crE99fzzu/HfSq91AVqlT5bNdnTPxxIlOXTeVI0V7evDYRnZc/UkHYgdOx8xaHi0/XHTljv8JoLC/zoLr4u2CfV60Ch+pgR/aOCvt4YfEevtl4lMxCG0dyzEyfvdUnOST1zYbjG5i6bCpf7f3K/dn/NJGjhUcb2iwNjRqjOYomQn6JnbH/WcfPO4+zOSWP91Yf4pF5O6vd/r3t7/He9vfYn7efzZmbuX357cS3LOaBkR0x6ARCcSD0RSj+5Ue9ukrqf/t17Ih/926Ik1IUwmQicMBAIhI6Y9SddjgCQYvAFp7XOZYcvt33LXP3zeXH3fu8NtdtDpXluxtGdyu7yMZ3m1L5YUsa+SX2s+rrrS1vYXW54/9VVEocJXy++/M6sFJDo37RdtOaCL8fyMbicHmUWa0OlYXb0nn1mp7oK3mQn+KHAz94HloAVqeVZcnLuGfEPdw8OJ5DOem8tv1x9hyzUJjSGqm65TpMBoW7h7c/Y79CUYj75BNOfP45tv0HMHXvTsRNN3I9TpYmLyOlMAUhBIpQeG7wcwCkFaUxefFkbC538pmzpUBY7kE63BpOekUQ6Ff/Kr5HcsyMe3cdDpc72fGVpTp+vm8ozUNql6hV4izxei2RmB3mujBVQ6Ne0RzFOcqWlBO8ufwAJXYX110QhygzeVSEgl5x//pDTAb6xLZhTuxsADYnn+CTdUdQpeSWwW3pEx/E7tzdBOgDiA+JL7d/ohiNRE2b5nXMhJ7ZY2az6fgmLC4LfZr1Idzkjn9/Z9s7FDuKUaV7FiEUQUCLpZhTb0KvCEL8DUzu39onn0tlPL94D8U2p8cZ25wu3lxxgFev6Vmr/sa1G8cHOz7wOGiTzsTYdmPrylwNjXpDcxRNhOEdmxFg1GFzuHBJ90h/bM+YCmcTu44VcOP/NnryMfZlFDGyz9386XgFq8uKgoK/3p+r2l1V4bX6xUfQL96tzplenM6Y+ZMpdhTjUl0MihnEW8PfQqdUPeI3KAYGtxpc7nh2SbbHSYB7pN2+JfRtHU+wycCNA9sQFVT/qqqZhVZKJ8G7VDhew+JHx4qPUWQvIj4knqndp+JQHcw7MA+DzsD0xOkMaTWkjq1uvBQsW0bhgoUowcFE3XUnfu3aNbRJGrVEcxRNhNAAAz/dO4RXlu7jeL6FYR2juavMkpAjMxP7kSMs2Wv2OAlwb0jvOBTBCxNfYMmRJQQbg5nWcxoxQWcOez3FE+ueINty+sH+Z/qfzD80n0kdJ9X6Xka0HsHunN1YXO6HsL/en6s6jOS2HnVTGrW2XNwpmqTsYo/Wlb9Bx4jO1VN2lVLy7J/PsjhpMXpFj0ln4vNRn3Nn4p3cmXinL81ulOR9+y2ZL7/i1mgSguKVK2m7YD7GNnWnW6ZRf2iOogLsaWk4MzMxJiQ0KnmFlqH+vH2dW+fInJTMzp9XEto6loTEThQsWcrxxx8HvZ7LLTbSu4xiYfvTGd2KgMvbXs7lbWum3XOk4IjX6N/qsnLgxIGzuo8butxAVkkWc/bNAWBC+wlM7T71rPqsC+6/tCMZhaeVcq+7II6bB8VXq+1vR39jyZEl2Fw2bC4bJY4SHv79YX64qvEpluZb8zmQd4Ao/ygSwhJ8co3cDz86LeQnJarVSv4P82j20IM+uZ6Gb9EcRRmy332X3I//hzAYkC4Xce/9l8BBgxraLC/2fPUdt2yyU2QMwCWKGDV/E9MXvu5RJjUCt+xZyoaW3TgeGIW/QWF6JRvSlZEQlkB+Zr6nqpZJb6JTRCccqoOk/CSMOmOF+xaVoQiFh/o9xEP9HqqVTb7CoFN4fVIi/76mJ0LULJflcP5hrM7TwQISSUphSiUtGoatmVuZ/ut0hBA4VSfj2o9j5sCZdX6d8iHTavliYRpNBi08thQlO3eS89HHSJsNtbgYabGQds+9VZaDrE+ceXn835pMckwhWPR+2HUGduWlYpfeNjoUPc3NJ9AJeOPaRCb1i6vV9V4a8hLNApoRaAjEpDNxYcyFXNTqIiYsnMDNS2/m2p+u5Y4Vd+BwOeri9hoFiiJqnPDYNrQtJv3p6CiBIC64dp+5L5mxegZmp5liRzFWl5UfD//IhuMb6vw64Tf8A1GquJTwNxF6VcV7YhqNH21GcRJpt3P8kUfBbi933FVQ0GiWoJxZ2RwNbo56cjPZEPE7+QkrcK5yULr+nF66SAtqhk6ncEWP8nsRTtWJTuiqfCC2CGzB4gmLSSpIwl/vT+vg1jyw+gGOFR/DKZ0AbM3ayld7v+LW7rfW6p5cBQUU/fob0ukkaPhFGJr7pASJTxnZZiS/p/3OL8m/YFAMGBQDr1/0ekOb5YVDdZBv9U5klNI98xnQckCdXivy9ttRTCYKFi5CCQoiesb9mDpVKgKt0YjRHMVJ8r77Hsex8lXcREBAo5K1Nsa2olXJSor0/mAswi96BQ7FyWsTFf71gwoCFKeet3tNojgkgjE9vIu8FNoLmbFqBlsyt2BQDMzoO4Mbu9xY+TV1RjpHdPa8PpB3wOMkAGwuG3ty93heq1Jl1pZZLDi0AL2i586edzK58+QK+3ZmZ5M04WpUsxmkJOu114if8w1+HTrU5uNpMIQQvDjkRab1nEaRvYiE0AQCDOWLRDUkBsVAi8AWHDd7S7J0DD97+W0pJU7ViUHnHq4IIYi46SYibrrprPvWaHi0paeT2FNSkPbymbimbt3A6aygRcOgBAby5qREwhxm/EUWSPfMYle8wrT7dDx7ayBP//MBDvW8kMn943jlmh5e7Z9Y+wTbs7ajShWby8bbW97mz/Q/a2RD+7D26MXpMYafzs/LkXy08yPm7JtDvi2fHEsOr29+nV9Tfq2wr5wPPsCVn4+0WJBWK6rZTMZLVRemaay0CWlD96jujc5JnOLdS94l3C+cAH0ABsXAtJ7T6NWs11n1+cuRXxjwzQD6ft2XqxddTYa5YbLqNXyH5ihO4p+Y6LWmegrL1q1kvTWr3u2xp6aSv2AhRStXIss4qi6XDGLd8+N498phmIynl45sRkFGtI7Zd1/LukdG8Oy47vjpvfMdNmduxqGe3k+wuqxszqiZ8u5Tg56iZVBLAvQBmHQmEqMTmdJ1iuf9ZUeWeWeBu6wsPbK0wr4cmZnejlhKnOdIxcLGSMfwjvw66VfmXDmHlZNW8s+eZ1f17WDeQWb+MROL04JEcrjgMNN/nV5H1mo0FrSlp5OEjLkCy/Zt5M3+BkpJr0urleI1a2j+SKW1k6rEpUrmbjzKzrQCOrUI4saB8Rj1Fftp818bSL3rLk/NaFOHDrT56kuvQveBQf6MGNCH/8S9w4xVM3BJF3pFzzsXv0OQMeiMdoSbwil2FHtem3QmogKianQvUf5RLBq3iEP5hzAoBhLCEnCpLt7d9i6bMzeTZ83zOl9BqVBe3JmTg7FtAsL0hyeUUphM+A8Zwmd/HOFIjpk+rcMZ1yum3orIV4TD5UAI4clkb+oYdUYSQusmLHZn9k6v340qVQ7nH8ahOjAohkpaajQlzo1vfh0ghKDFzJlIm538+fNPy2YLgb6Zd9KVarfjTE9HFxGBLiSkWv3fO2crq/a59ZpMBoUVe7OYfdsAFKX8AzD9sceQltMZwdYDByj46SfCrrmm3LmDYgbxx/V/kGfNI9wUXuXD7LnBzzH9t+lIJAoKscGxTGg/oVr3UBqDzkCXyNP1nv+1/F5sa/4gyO5ASdAjggQSiV7o8Tf4c1uP27zaFyxdyvHHHgedzr3kp9OBEASNHMn9gQP5e+k+rE6V7zensfVoHs+N615jG88Wu8vOo2sf5bejvyEQTOw4kccHPI4iqp6IHys+RkpBCnHBccSFNL7op7oiyj8Kgfd32KQ3eS1NajR9tN9mGaJn3E/x6tW4iosBidDpafHE4573rXv3cnTqrah2OzgcRD/8EJFT3MsurmIz9sOH0IWHY2x9WqvoWL6F3/ZmYXO6Q1itDpUdqfnsOV5I91blR9quPO8RubTZKl2O0St6ogPcNa0PZhZx1+wtHM210DrSn/dv6EuH5sGec/u16Me8sfPYmLGRQGMgI+JGeKm81oaCnHTGPruKELNEAKqw89KUANr3v5T2Ye0Z226sl3Ksq7CQ4489fjohC8DPj3bLlrLVYmTP55uwnvysLA4X32w4ysOXdyLEVL8j1Le3vs2atDWehMNFhxaREJrAP7r8o9J28w/O5+UNL6NX9DhUBw/2fbDKNqWRUpL7v/+5k9ZcLkLHj6fFE483yop4Q2OH0rtZb7ZlbaNDioNuSU6Gdb8EWVKCCAxsaPN8gzkHts8Gewl0HgMta6cF1pRofN+8BkYfGUnCz4spWrkSnE4Chw7D0Nw9o5BSknrHnbjyT4cYZr81i4B+/RA6HSlTbgGXC+lwEDphPC2efhohBFaHC12ZmYMiBDZnxQlI/omJlGzZ4lm7F0Yj/r37IFUVoZx5NGuxu5j80V/kme1I4HCWmckf/cUfj4zA33h6ryIupG5HuUVfzSaiSGI4eTsqcMsSG6GTxzAsdli58x3HMxA6HaVrKyoGA860NCzBbcotM+kUwbbjuylQj9I2pC09or036H3FX8f/8ijcgnuvZX36+kof+nnWPF7a8JK73cnP480tbzKi9QgvZ1kZBT/9RM577yEtbkdasGABurBQmt1/f+1vxkcoQuG9S99j0yevEvTtHBS7A7FpCUeWbaXt/PkoAY1zU7/WFGfB+4PAWgguJ6x/G677BtqNaGjLfEqVc2ghRIgQopyalxDinHWjupAQwsaPJ2ziRGwHD5L52mvkfvY5rtxcnLm53icrCrb9B0i79z7UggJ3op7NRsGiHzGvWQNAm4gAmoeY0J90FjrhltHu2rLisNtWb72JqUsXUBSEwUDImCtIu+ce9nXrzpGJk3BkZVXY7lBWMXan6nkAS8DuVDmUVVzh+XWFknXC4yTA/aUKL4Z+zSuusGiIaYl0eTtJ6XBgaN2G3q3D0CmnFzMMOkFIkJX71tzCk+ue5MYlN/LKhvopo94soBlKqT8RvaInJrByfazMksxyy38GxVAuJLUyilb86nES4N4nK1pRcdRYY0ARCmEfLkCxOUC6Z8COzCwKl1YcwNCk2fAhWPLBZQdUcFhg2eNVNmvqVOoohBDXAvuAeUKI3UKI/qXe/tyXhjUGTnw9m7R77uHEJ5+SPestkm+4ofwISUqMreNwpKd7H3Y6sSW5K8PpdQrf3TGIYR2jaRFiYkBCBPPuGuw1yi+NPiKCtt9/R6dtW4n/4QcKf16CWlQEUmLdu5e0uyqOKgkLMOAoU/XO4VIJC/Dtkk3ghUMQ/qezkp0GhZjhl58xRFQXHEzMm28gTCaUwECEnx8tnnsOQ/NmhAUYmXfXIHrGhRIVZOSChBCs0f9GxYV68r/Z+2Z75W1USl4KLJwOs6+F7d6BClXx2AWPEWwMJkAfQIA+gEhTJHf1uqvSNq2CWnlpY4E7ubFNSPXF8PSRke49m9LHGknC55nwWkbE/f13FRU1kDU+xJoPaplweVthw9hSj1S19PQ40FdKeVwIcQHwlRDiMSnlAqDhwlDqiaw33vD8AUibHUfKUQzx8Uin07104nQSNnEiAf36YYyNxZ5SSttHUTDEnE52iw7249Nb+pe9hBf2tGMULFyAdDoJueIKTB07Ytm+3fsklwvr3r1uG8qsWcdFBHB1n1Ys2p6OzenCT69jXK8YonPSKFi7F0OrVgT0q7KOeo0JGXMFtsOHyf34Y1BVwi4cRqtnXqi8zYgRBK75HUdaGoaYGHRhYZ732jcLZtHdbjnu3Tm7ue7n0zOiEJeLl7Nzaff+cAiJhfHvQeuBFV+k8Dh8OMz9hyxVSF4LRRkwtHrCdK1DWvPjhB/5M/1PdIqOoa2GEmiofN092BjMW8Pf4oHVDwDu5cpXh71KhCmiWtcEiLrzDoqWLUO1WNzLjQYDzR97tNrtG4LAIRdi/mO9JxdJ6HQEDi4vMd/k6XwlbJsNp8r86v2h67kvTSJkJSMsIcTfUsoepV63BBYDXwC3SCn7+N7EqunXr5/cvLlmuQBVIaVkX/cep6OfTqEo+HXsSLN/PYyhWTNPBrHt4EFSbroZ1WZzRyzp9QghvDa7K8OenMyRiZNQLRb3NfV6QsePx69De7LffgdZcrpamggIoNOWzRWGjEop+XVvFgeziujQLJi+u9aQ9dJLoCggJaFjx9LyuWc956/Yk8mj83dSZHHSv204//1HH8ICKt/c3pG9gx/2/4BO0XF95+vpFOGWZpCqCi4XwlB3M5hiezGD5pwWZfwiPYPuNvvpqt6GALh7A4RVUOho/bvw27MnlwlOYgqDR30v1mdxWsgqySLaP7pWyXfO3FwKly5DOhwEX3oJxrjGHTnlKjZz/IknMK9fjy44mBbPPkvQ0HO09sb2OfDbM+CwQverYfS/QVe3s3apquB0eoXE+wIhxBYpZZWjx6ocxXrgJinl4VLHgoGFwBApZf1Xl6kAXzgKgNQ77qD4j/XlMrOF0Uj71avQR3iPElWLhUMjL8OVk3P6XJOJNl9/jX/3ymstpD/2OAWLFkFZAUI/P/zatsV+9KjnvZYvvEDolWOqtF+1WjlwwQCvjHPh70+bL7/Ev0d3dqblM+G9Pzi1WqUX0K9tBHOnnVktd1PGJqb/Ot2TUOev9+fzUZ/TNbJrlfasTl3N0+ufpsheRJ9mfXhj+BuE+oVyOP8wO7N3EuUfxYWtLiwXfvrQ6odYnrIcoyrZmJKK16KMIRDGvAG9ri9/wT/eht+eh1IJhviFwGOpVdra0DiOHSP9iZnYk5Lw69SJmJdeRB8d3dBmuck5BJl/u51zq74Nbc05R/b7H5Dz3/+CqhLQvz+x/30XXdCZc6POhuo6iqo2s++izBKTlLIIGAXUTgGuCdHqzTfx79O73HGpquU8vXXPHszr1+M6ccL7ZCGw7dtb5bVcRYXlnQSAzYZUVVo8+SSRd95Bm29mV8tJSFWlcMnScsq3QqfDmZ2FlJJ752yj9JaGU8LGpBNUNnh4b/t7XlnXFqeFT//+lGJ7MTNWzWDQN4MYNW9UOVmQg3kH+dfv/+KE9QQO1cGWrC3MWDWDX5J/4brF1/Hyxpd5+PeHuW/lfeXW+F+76DVm9JlB5+geyLI5DALwC6ZCuowFfanfkyEA+tx8xntrLKhWK8n/uIGSjRtxZmVh/vNPkm+8EeloBAq9O+bCB0Ng0b3w+ZWwtHEviTU1in77jdyPPnIPTlUVy7ZtHJ9Z9zLwNaWqPQoz0Bw4VOb4BcBfPrGoEaEEBtLmk084Mvk67IcPI202hL8/oWPHejy8lJLjM2dSuGSpe3mngoe9Ia7q+s8hY8diXvdHuU1BAEdaGseffBKhKBQt+4XWn31a6eamVFVSp91Bydat5WZD0unE1LkzR3LMpFdQ5tNkrFxRtnS46KASC8MsFkLVjTxluY81OdtxqA6KHcXc/evd3NvnXsa3H0+4KZxNGZuQpQJinS9JJ00AACAASURBVKqTrVlb2ZWzy8vxbMrYxB/H/mBo7FDPMUUo3NbjNnfSXvg7sPplcJS414cj20PHMxRjikiAW3+B5U9CyQnoOg6GzDjjvdU5pxxuDbPKrXv3ohYXn/4uOZ04s3OwHz3asOVEHRb46T5wnv4OsPUL92yuZWLD2XUOYf5rg1eyrbTbKdm4qQEtclOVo5gFPFbB8cKT753zleKFwUD8N7M58cWX2FNSCOjbl9CrT2cyl/z5J4VLl3r9cgGU4GB3PsW4qwi4oPJNbIDQyy9Hzcsna9Ys1FJ5GhgMSLsNnC4kYDt0iONPPEHce++dsa/iNWso2brVa18DAJOJVm+9iSEmBldmEXpFweG1B6MSFPMzU5bO4bpO1zE6YXS5vq/tdC0H8w4yJi+bR07k4y8lauHfXLp/F79tjeZ/Fxs4HCNwSAf/2fYfPvn7E+aMmUOoX2i5JSV/vT8lDm8bJZJsSyVaTxfeB827Qsp6CImBXjdWvj7cogfcvBCpqrjy8tC5VEQ16n2fNX+8A6teAtUOHUfD1R+DsXp7FYq/f/kaKC4Xws9UcYP6ouQE5RYhFD0UHNMcRR2hb9EcYTR6LRfro2omseMLqlp6ai6l/LvswZPH4n1iUSNEMZmIumMaMS+9SNg1V3uNuO1paUhX+VlEs//7F/Fz59DymWeqrVMUft1kOv31Jy1eeAFdVBRKSIg7w7t0Yp7TifXvXZX248rNLR8GKgQd//qT4IsvBiAhOojY8NIiiBJhyKXEtJ6tWVt5av1TLDq0qFzfYxLG0COqBysCA7gytiWLAwNQUPHTu+hrtNAmU3qu7VAdFDmKeGXTK4xsM5L4kHj89f7ohbum9MwBM0kITfByIFJKekZVkaLT/lK45CnofzsYqn54Wvfv5+CwYRy6eAT/z955h0dRtW38d2Z7eicFQu/VAgoIKooFKyiKDTvqByoqFuy9CxZ8FTsCdgEbKCIKFhQBlSK9k5Dek60z5/vjbLK72QRCDWDu68oFOztz5uwke57ztPtee2xvSmcf4Pr+Nd8or8fnBEOHDfNgTsO5wmwdOuA46iiEXX02YbcrnY6M3WucH1BENQNrraovwwvN9kLrXPepZ9OEECRccgmWzExERETNT9oTu64gPBjYnUcRt4v3wqlW/4Owd+4MdcSOq/5YTPzw4Xs1ZvyFFxB/4QX4iovZMqJWklYIzLtZMBw9e4YaCk3D1rYtJntgUTVpgmcu6M5FkxfhM0Czb8PRYgpCqC+vS3cxZdUUzmt3XsjYE5dMZEXBClwmE2XAI0kJJOs6vSvdaCZJcRQhoRZDGuRU5mA1WZk2ZBpzNs+h2FXMMc2OoXtyd45pdgw3zbuJzWWbsZlsPNrvUdrF751sa12QhsG2a69FLwg0Su68914cXbtgbdnw3oY9wvrvVWisGj4XbPihwZcLTSNz8usUffQR7rXrsHfrSvzw4Y1KjAiAyQxXzIRpQ8FVrn7PQydD/B48R58bZt4I/36hru99PZzx1B6H545UaBERtP78Myp+WoBRVUXk8cdhSUvb/YUHGLszFEuEENdLKd8MPiiEuA5YeuCmdfjA0b075tRUfLUa7pwrVpB1193YO3Yk4YrL96rMbcdNN+HdsSPkmBYVRfqTT+7yOlu7dqQ/8ww7770Xo6oKW7t2tJj8eth5ndNicTjK8UT+iDl6DZo5NAxU18I0d+vcUApxTWNeRAS9KzxU7LTRI1qyqq2GR1Nels1ko2+aqqKymqxhhictKo1Z58/Crbuxatb9vhjqxcUYZaGNX8JsxrVm7YEzFNFpYLKGlOV6IxPx+Zw4zA3bXwmLhcRDUfQnrQfcsR6cRarU2LSHLEA/PApr54DUFXXAsikqz9TnOtUcueNPiEyCVgNVzu8/CM1mI+b00xp7GiHY3W95LDBTCHEZAcNwLGAF9pxy9AhF/KWXUDDp1UAiWtPwZmXh3bqVcrudioULyXz3nTp5moyqKrw5uZhTUjBFBdx66fHgXL4iNDlus5E8diy2NruniI45/TSiTxusarHr6Wso9xUS2eZl8FaAkCDh5Moq7ikq5sOYaGZoWznp45O4vMvlXNvtWoQQRFmiyCU3MIiUfB0ZycDlJuLLLZy8SqPqmrOYsWM2EsmJzU/klqNv2e18baYDU2ltiokJ261KXceS1jDepb3CcTfA39OgsgApDZ6Ni+bDiHL4oC+9U3vz0skvHbLCRg2CpqnFfG+wcX6gWQ2U57VxHiS2hY8uBaEBElr2g0s++c8ai0MNu/wtSClzpZT9gEeALf6fR6SUfaWUTTJWfiRecw1xIy5Wwkd2u1qY/NVG0uXCuXw57vXrw66r+OVX1vU/gc0XXsj6E06g7LvvAm9aLGGd18JkqiEobAiEELtsfpuxZApuX6UyEgACVthtLHLY+TgmijLDTaGrkMn/TObTdZ8CcGfvO0MXdSGoMAnGn+7g5x5msl+5jQcHPcmSy5ew5LIlvHDSC/vMTrsvEBYLaU8+EaALcTiIO/98HD0OIFWZIw5uWgRnvcCsPpfyeVwcujTQpc6y3GU89cfuFfxc//5L1t33kHXHOCoXLz5wcz3YiEknpOJes6gO+xnXK6PhqQBPpSpWWPN1o02zCaHYHdeTXQgxFrgA8ACvSSnnH5SZHUYQmkbqPffQ6a9ltPnsU4TNFva+dLtDjukVley45RYlAVpVhXS5yL77nho6cSEEKXffxaaWNm650cTl48zcN1Kj4tj9I1Bf9ddf5Hw4Fb1WdY1PwNdRkTiDdnIu3cU3m74BoH9Gf247+jbMMuhPRwicVshIacvZ/VV7jVkz1+gnNzZizzqLNl/MIu2JJ2g55T1SH3rwwN/UFgW9LuUPuw1nUEmxx/CwJHfXzaHOVavYctnllH3xBWXffMP2UTdQ8fPPB3rGBwdnPAP2GNUoaYlUnsmJd0FVLbJN3Qdl2XWP0YSDjt35dVNQoaYVwJnA8wd8Roc5rK1aYUlJgWpvwGRCi4nB1jF0gfdmZYXF44XFgmfLlprXctgZPHa5hZx4gccCGxO8XDf/xrCGtL1BziOPcvxKLxY9kPS2+eC88kpiDAMRlAwXCGJsAYGmo5odhal29aYJMjdXNn7CtR5YW7Yk5ozTD6wnUQeirdGYRKAcVyBoFtlsl9cUvfNuaC29y0XBq/WXQ+8zDAN2LocdSxQtxYFEUjsYs0R105/zEoxeDFEp0KwbBD0nNK2p6/sQwu5yFF2quZ6EEG8DR5APfGAgzGZaTp/GzgcewL1mLda2bUl7/DG0Wl6GJbVZmBa29HiwZGSozmhdZ1XhKoTJrAQeAF3q5FblUuAsICWi4SEoAPf27Uxd/i5zXX8RZY5kXEEuLQvgvo903j9Fo8omGORJ5zZfPptEJb877LgAhIbd7GBMrzE1Y3VJ7MLJejt+1Nfh0yS6SeUlbz+3mCll249oRbc9wTebvmHmhpk1ht0iLNgtdh7su2uPRno9dRw7QF3ZXhdMPV8ZCiEgIhGunQvRe5fD8Rk+PLpn1zmYqJRwypVLPlTzKNqi5jH4MWix+/6jJhwc7I7raVkw8V/t14cKDhTX077AV1RE9vh7ca1ahSUjg/SnnsLWpnXIOSWzZpHz8CMIixnp8ZI8bhz4vORPfBHp82H07MToU7dRaA7s8kzCzK+X/LJbFtNgFL4/ldd+eY5ZfSRufzTopq91TlpjQnj94kh2OxkTXiC6rQNWfs42TfJ1fDLYYzirzVk1NNmGNBAIDKeTVx48mymd8/H5txsCQZu4Nsw6b9Y+PLkjAy6fixM+OiGkk92iWZh86mR6p+16Aaz49Vd2jB4T0BF3OEh94H7ihg3b/xNd8Bz8/Lwq4QXVQNd+MFzy0R4PNXXVVCYsm4CUknZx7Xh98OskOfYw6e0sAWvUnldTHcrIWgYLnlU5mKOvhO7hksaNhYZyPe3ut9FTCFFNti4Ah/+1AKSUsmGC0f8xSMNg21VX4960CXw+9MJCtl56KW3nfheisR13/vlE9umDZ8sWLC1a4NmylR0331zTlamtXM+oigieHGZBCB8YZjwlA1m708PRmQ0zFN6sLPJfeIHvRhm4LYGw0NuDBW1zdDILNYTVSvIttxA9yK/S1bIvmUCw6oVbdzP+5/HM3zYfTWhc0+0a4q8cifjrJZD+xD2SzSWbkVIesiGofYbug7+mQtFGSOsF3S6osweg2FUcpiVtM9lw6uG0KbUR1b8/GRNeoOB/ryF9PuIvv2y3RkLqOsK0Fx3neasCRgKU1kL+2j0e5s+cP3n5r5fx+bUaNpZsZNxP43jvzPf2bCDHrlq3DkPkrIT3zgr01ez4E7yVhwXnWDB2aSiklAeB6+DIgy8/X2lTVIeWpET6fDj/WR5GvWxJT8eSrhroSj75JJTryeulwxY3l86z4Xb4aJPjxVS6iQUJSzn6qlNrTiuf/yOVi//A0iyV+BEXozkCtfre7GyE1YJWS2zFZxH83lGSuVSFxOxdOu/yMz3353Ms3LEQXeroUmfKqikM7zAcs8mCNyiEpmka/+T/Q6+UXjXHpJS4Vq5CLy3F3rXLIS/CUy8MAz64ELb9ob74lgjY+iucPTHs1KSIJKwma0jPic/w0TauYVxN0YMGBQz3LlA293vVL1NZia1DB1q8/lrDG7SkVNKewdAskLrneZx/8v/BG8TS65M+VhbumkHgP4Gl74U2X3qrFKvxYWYomoqUDwA0ux1Zi55AGgZaxK6brXzFxWG7U01Kzl5azohfvPTZ4KNbwWZavvkCznXrACiYPJmsO26n+L0p5L/4IpsvuggjqMLK2qoVlcJLj00GVo8KMwpDYvPCSSskOJ1Ip5PsO3dNMfFr1q9h+tGFrkIGZgwMSdb6DB+jvh/FppJNNZ87a+xtbB05kk3jxjLp9kFM/PYBft95GHJKZv8F2xYHvvjeKvhrGlQWhp1q0Sy80uMRYkQEds2KzWTjsf6PkRGVsd+m4964key77lIEglLiXr+e7aNuaPgAf76pPlMw7DF1Gr7dIdmRHFYGHW87TDcE+xV1hPb3QGXxUEGToTgAMMXGEjfsAtVXgYr/2zt1wtGrV73XlM+bR+lXX4f8EQmrFUt0FBYCJUY26aPE7KDbO+t4cOZy8l+ZVKOvLN1uvFnZVPy0oOb8qlgbd90czW9dTRy9XtJrg0H/1fDUezoppYH7+2rTo9dC7VizRTOTaonhuQFPY9NCE/Ue3cO8bUrjufz7eVQsXIjH42T8MCdT+3t5J2cWN/9wM9NXTw+7j5SSsrlzyX3mGYo++ADDE57YbRCqipSa3V5+Kd26m02lmyhxBRE0esqhNqGgZlK1/7VQOnsOEZfdyRuTdCZO1pmx7XzOaH1G4ARnCfz0NHx1K6zeu34B599/h24sDAP3xo0Nf2ZrZofudgFiW0BEw9X4qjGkzRC6JHYhwhxBpCUSh9nBkwN2zSDwn8DRVyrPsxqWCOh3c+PNZy9xyGaMhBBnAC8BJuAtKeXTjTylPULqww8RcfRRVP39D7bWrYkfcfEuY8iF774HtXotHEf1wpSVjbc40KIkgURXOTqCmUu2MUI3wjRpjSDW2M/WfUYxVXgs8HtXjfRCSZcdsWRUViLx30/TsHfqFDJGXlUea4rWkORIoktiF+4//n6u/PZKdENHSINYj5NrfnwZseANbJkZVAU5UJrQapryvBtWIT0e/mwvyIsHjz9P4tJdTFw6kUs7XRqSz8h/YQJF06cjnU6E3U7Zl1/Sctq0sObDemHoMPMG+HeW6vJN7QGXz1A75QZiVeEqbph7A17Di8/wcfPRN3NV16sg/Si/oRCAVOWc0ekQ2zzkeunxsHP8eKTbjeaCRKDq0xk4zzkfR/du4K5QEq1l2YpUb/kncOLde0yBbkpMDPNAhdXacIXB6DT1GWT1L09A9K5Ld+uDRbPw9mlv81v2b5R5yjgq5SjSoxqZxPBQQFoPuPIrtSnwVqmQU88RjT2rPcYhaSiEECbgVWAwsAP4UwjxpZTy38adWcMhhCD2vPOIPe+83Z+sLgg7pEVEYklKwhfE9yQAw8+2Wq4LtjTvQJucjSHlk5HH9an5f4mrBI8R2GFmJwpmp2vc0OsOcp97DgBr8+Y0n/RKzTm/Zf/G2B/HYhImfIaPIa2H8HC/h5l13ix+2zQHy7xHGFRWQqSUgIubCixMSIjHpbswCRORlkjOanMWzHsE+6o3EETjtGlhTrhXd6Ov/QZzp7MBpRBY+N57IV3trnXrqVq8eLf6y96dOymf9wO2oh+IKP0GUR0v3/kPzLlTkdc1AFJKRs8bTakn4G69+ter9E7tTdfErkrfYsYoKNmqav+HvRnmZeilpbWHRZhMeHdmK0Ox+iuozA8o73mrFNts/1v3iBwvauBAIo4+WumOVKsfPvZowwsJBt0H679T95couvbTnmjw/WvDpJlCdESa4EfzY+Hyzxp7FvuEQ9JQoISRNkgpNwEIIT4CzgMOG0Oxp0gadT07Vq4MlETa7SReczXl83/EtXp1TWe3WzOzLl71KZgE/DzyLjp/MQHXv/+CJog55xzMQcnMEzJO4MM1H9YkVW0mGwObDyThhCuIv2QEvsoKllatYb37H3pWQGpkKuMWjMMZxMczZ8schrQZwnFpxzEsohW49JCQziUVVaQMeoS5RcuJs8VxTbdrSMpdA3+8TmRKFYmdBF23RxEc6bQYkl5uN+bPr4PBj0Of6zBcLoQQIQZF6G6MyspdPjv3hg1suXgE0usl/dgcRGaQZ6Z7YHvDhV+cPicl7pKQY0IINhRvUIYiuSPcsKCeqxVMCQlokZHoQR6i9PmwVzddeqvCQ2LGnvdJCE2jxRuTqfjxR3z5BTh69QzzDHeJ2Oaq4W3N18oT6zgEYhqfqbQJhx4OVUORAQQLG+8AjmukuRwURA0cSPNJkyie+j4IjcRrryGid2/s3brh/OcfXP/+iwS2Rzbj417nEGEx4bCYuCmhnKoNG9SO0oCyL7/EmtmCpGuvBaBPWh/uP/5+nl/yPG7dzYnNT+SB4x8AwDBpjPnzHv7O+xshBIY0mHjSRCq9oQuzIQ0mLJ1Agj2BUyJacq63kpC0pe7jlHZnc4r9MkDxFJW8/yQxNjeagOTu5QzsWMErOxw82qE1JZ5SjnG6eLKgEAypdtN9rsMUF4c1yYo7xwPSH94xfDjMG1DOZd3IffZZFW6TEneZGcOn2gEApBSIBH//St5q+PgKKN6i9J4vnhqmpeAwO4iwRFDuCTDOSilr+kgaAmEykfnWm2y79rqaMGDa448F2GrbnaJU96phtiuNjb0oKRaaRvQpp+zxdTWITIJjrtr76wHXmjXkPv4EvqIiok48kZTbxu4VW3ITDl3ssuGusSCEuBA4Q0p5nf/1FcBxUsoxQeeMAkYBZGZmHrN169ZGmevBgJQS79atKtGbmMpP6woQQnBq5xQq7rub8jnfhpxva9+eNl99udtxv938LQ/+9mCI95DsSMaiWciurJ9nZ3RRCVeWlaMDds2C+cxn4dirAWUktlx2OY6YEloMKEIzB/19RacrOun5TwTFxQFbDIxX+wLfk13JnluFs8iKJUIn/bhi7CcNh6FBNOk+t6r1t0VBfGs2Xzgc16pVAAiTQatTC7BEKRprqVkwj1sKkckwsatfpc0/J0c8jF2pxgnC4p2LuXn+zWhCw2t4GdFpBOOOHbfb51kbUtfxFRRiio9Dq71w7lgKX98GVQXQdhCc+WyDFfAaHVVFsGoG+Nx4Y45m08iba7w+YbcTfcbpZDx9WKUUDwy2LoK594GrDLqeDyeNDy+GaGTsr4a7xkIWEMwD0dx/rAZSyjeAN0B1Zh+8qR18CCGwtmoFQDIw/NjAo6mKjFI70eBqqYiGLTi5Vbkhte82j6TDmgJu73Ezd/qmkm1z4tbdIVrXZilZZrdRqmmUmTSKktryWo+LoGgTRKdT+P77SKeTKqeN4o0RxLetRAoTpohIGDFNEcEtfD5QbWN2QPeAwJM5rSWZJ/1GzWJutint62oUb4V3zgB3mWoO63Q2UaecjHvjRqTLhdQ1Ns9NJiLZg2Y3Yzv1SlLiMlWuQvcQUq5Y3VzWPJRTqE9aH+ZcMIeNJRtJciTROja0o76h2CXbb/Nj4MaFezVuo6IiH17vD65SkAbl6yOQ3tiat6XLRfk3s5FPPXXkNl02BLn/wrRhgb/zRa+CpwrOODwrwQ5VQ/En0F4I0RplIEYAlzbulA5NJF13LeVz5mA4nWAYCLudlNtug0X/gz8mqx3MwHHQK/Tx6RWV9Nxp5dasUk70leJB4P49GmObA+O713jWZCLyrZd4q3Iun6//HFA9HUMqKrmtqAS7lOgC7o6ugGfbqOoZTcNqnFhzj7y/YileH4mjfXMy3p0Fdv+CcvkM+PYepLOEyrJm5ExcSsxnxxF75iBsfW9WISLdC0iIbwV9RwcmPuN6qMiBamLEtbNJOnMQetGFlHz2KdLrA8OgqjCCyP79SRp7pzrPkRAiJKQeghci6q71T7AnkJC652WiRzx+e0V5FP4NhpDm8PyKyfTfNhIA/34Z2vHurYJ/PthvhkJ6veS9+BLl33+PKS6O1HvH77L8fl9xSBoKKaVPCDEG+A5VHvuOlHJVI0/rkIS1VStaz5pJySefYng8xJ5zDg7n7zD3scBu5pvbwRYNnc8BwL1+PVuvGElGy1x6tA+Eh4xeRWwrScRZIDEE6M+9xvAX72HG+hlIJIYQfBsZwUarhenZuSDh8W3rQA+EkZJi5lMUkYJRpRZlnx5FxAWjA0YCoGVfuGEBOQ8/gmfhh7Q8NheTzYCVa5Dr3kac96rSZjbboNUAMFuVRoGzRHkAwey53irEvAdJ7TiQ1F/mQlQKelkZSIkpNuiecS3gqJHw93RlIEwW6HFxqLdyKKKyQPWDxLcKC5E1CirzQgxDTHMn+Svj0DErkSyHg0R/fmyPoXuV3rizCDL7QcoeJOYPNVhs/tLjoL9Vbf/R7uc8/jilX3yJdLnwbtvG1quvofXnn4fxye0vHJKGAkBKORuY3djzOBxgbdGClDtuDxyY/H+1aAOcaoH0G4odY29DLykhtn9JSA5BM0NsKyfOAhtCgjMni2hrNBbNUlNi69E0NlksrLVa6OLxkqSH8o0LIWj+1Hjy3pmF9HqJv+xS4i+omwRNLJ9Oi/65CC0oj6u7Ye69MC5I6GnRqzDvIfXFM3TVHxH8BawqUCWnWUth9B8hfFohGPIcpHZXyXNnseLdyV8HyR12/YAbC7//D+Y9DJpV1UVf+qkyso2JTmcpvWv/35cp0kab8adRsL4Zvvw8ok46mdjzzt3zcXUvvHumCtlUN5he+C50PHP/zf1goucliqrDVabycRYHnDx+vw1f9tXXIXQ/0uul4sf52NrspZHeDQ5ZQ/Ffg6+oCOfy5ZhiYnD06lWnbGqDYa1NGChUbsAPb5ZK90ijlkSoVOswgMcMnu6tsEkdk2aC4I0RoCPUuLXyI0idyJPOpvXpu2kqMnRSuuXVrXTpCupD2L4Y5j/mD0X5d7LCpD6jJ6g6y/CqkEjWUmgVyqdVA58bfnzCz28kIXeVWpzGLq/jmTUycv9V+tI+N1Q3Rn54Mdy1pXHlQTufAyffBwueUb+TrkMxn/McqeZ9rHJaNVN95uCKu0+uhMzjocMZcNyNh5csanQq3PgL/Pqy8pC6DlVGdn+hVlOl0DSE5cBVmjUZikMAzlWr2HblVYDiRoo4+mhaTH59t2ygVcuWUfHLr5jjYokddoHS3DYMFbIJhsUOA+6oeWlt1Qr32rXkr4gm/XjlVRgSvFJQuCEKXcCqVhquy3pzptlOy5iWbCxahxcDi5Qk+XQ6eTyAgAHj4LeXwWRVC8e5rzQsRFK8BaGF1yBIYUK07B84sPOf8J4DqcMF78Inl/kNSM0bIeI3Vd4qJv01iVWFq+iY0JGx0d2IcJUQSGhL5cHkrQlLaDc6CtYGanyr4XUpJbio5MaZUzX6jVE/+xPBDYjV0N2weYHy/Eq2wpnP7N97HmjENochzx6QoZNHjyZvwgTlVZhMaFFRxJy9Hw1RLTQZikMA2ePGKWI3P6qWLqX0y6+IG3p+vdeUfPklOQ8+hHS7EVYrRVOn0WbWTLQNX8G2WoR7SR0o/XMTec+PRrpcRB7VAV+2jcoCCzsWWUk+Bgpiirk1JYGd/2fDJSWYzdjWTeGNtVN4edDLfDXvTlY7c2jn9XB3YQkWUOWcg+6DHhchi7YwvXwN7697E9a9ydXdruaSTpfUNXXljr93Vg31iC4FOhoakg22rmSe+wYRug9+fVGVYdZiviUyGTqcBm1Ohs0/g88JJpvqjWiuKv0MaXD93OtZW7wWt+5mZf5ytle+y/987lDKE927R/QeBw0JbcM/t8m6VzxMhwUyjw9VuAuGtwr+fBvOeHqvek2ORCSMvAJzWirl38/DnBBPwjXXYE44cH8bTYbiEIBnZ07Ia+ly4c3aUc/ZCnlPPV0To5RuN778fEq/+pr4hJVhRG+V/+5g52sP1JxfvvAP4tpWEt/RQEtrj+XWebQwmZlUkc07K95m5voZeKQPn1/U6L0F4/nf1jWhVRwAJ9ym/k1qz8ziFby0+v2aDvAJSyYQaYnk3LZ1xKs3zFPlrX6YhERKSSf3u2i6jdO+2c4k272w5iuVX6kOc9miVGzswnfVgnHxdPhlguq8TukEJ92Da90Gsm6/A092FpfH+3j+fEFevMAjfSyzWynRBPGG36PQLNDlPEhqH/TwJfz+mr9iTIMBd8JRuym483kgd4Uar1nX/VMrn9YDTrgdfn5BGQhDVw2CdY1dVaTmHZm47/dtLGQco1hrZ9+hykiFCM1DNSEMMYMHEzO4/kbU/YkmQ3EQYDidiulTM+E4qldI85XUdTSLBSNYh8Jiwd61ax0jhY4ZDOnzYVSUQ8dOiqGy2lgIHbgVpgAAIABJREFUjbLceKQrYDykLijfYSf16DxwrVMLd8czSI9IJWb9D3gMb8jOLbIsVy1WwYbCZFUJOz++2PBFiPaCS3fxxYYv6jYU9SwAAoHHZ7BgbT6Ygj0Jqfotel8PfUYFaCbMVjjpnprr9bIyto68EqNcdVW3yIVHpsOYm0zoJvV5dppMxFeP27JfOAfUkndUTsRbhbPIQvb0h/Dpz+M4ujfpzzwdrqVRWQBvD1Z5D2ko/qcrv1TJy9rwutRza2is/cS7VGVW+U5IbB9uCHwe+OQK2DhfvW49UBlPi73u8fLXqVBebAZk9j30due9LlGEeeU58L/j1WZCGupZdr/o0JvvfwiHUXbo8IQvP5+NQ85ix5ib2f5//8fmocPQywP0EOXz54dpZwsg+uSTdzlu1MABITQJwmwmsn9/tXi3HaS+XLZoiEzG1PMcqMW+GtIxXb27X/M1vfI34wjKCZikxN6sW61cAGrBiww0k9UlzRplqSdX0XaQoq3whxqc0socvQ9e/74lxm4ijMdfMyn21vq4iJZNxfXQsSqsVTN3iHRBSglYEGT4dDr4vSQsEdDn+vDFZ9lU8FbhdWpsm5+Ip9SMUeGk8rff2H79qPD7zh4HJdsV1bi3CnKWw8+19BwqC+GtU+HJdHiiGfz+evg4wajIg+8fhi9Gq56SzOPr9hYWPA2bflL9IboHtvyqkvV1YcVnirH267Ew7UI19iHIyoAQ6nc86kdV8ZRxrPKs9kIjown7D02G4gAj58mn8OXnY1RWIisr8W7fTv4rk2re1wsKwnbY0utF6nrtoUKQ/vTTRJ1yClp0NOb0dDJenIi9c2e1oF48Da7/Ea6YBbf8RcJ1ozFFR4NZLcDCZNDsKP+C6vMqtx+gLIuBVU6uKS3DJCVmKeng8XLbaa/C4EdVktwWrTSNR3ygdvR+jD5qNA6zX38DgcPs4KZeN9U9+YgEGPUTdByCntqLzyzncK8Yg8UksFs0Hh/WAzoMUV4EKINiiYA2J9Y93oZ5MOdOTEYh0ghd/CxSo1VGV85vdz5TIrphFiaVzxg4rqZcOAT+6idnfq0KEp8P15o16BW1tCfy/g1NwvpcKgwVjM+vhey/VRJe98APD8OmeogFKwvhtX6w6BUlivTZVbD4rbrP3boo1MvzOcPzU6DkW78Yrd73VKjKolUz6z73UEFCG/U3dv0PyrM6xKgv/mtoCj0dYHg2bw5IoqK0CjwbN9a8Vt2UQbtaTcPWscNuK560iAiaT5xQ95tCQEpA2tScHEmbr76k5KnrMDYvIbq5C0eCf3EzPDCptyKl6zcGNI0bS8q4tqQMl2YiOrkzOBLhuFGKr6Z8p2r+Cm6gA7omduWDIR8wa+MsBIKh7YbSJm4XzWxxmTBiGiZgmNuH6e9sKtxeBrRPpnNaDLR9R+2ONy+E+JaK/rrWPWuw+mvwOrHFQVS6m4psG9LQEHYHySNG8EbnVrBqluKaunmZGq++MMag+2HaUDRzHeExKcM5m1J7QOFm9RxBeUrpR4ees2NxqDHxutUiXZfhW/Gp8oqqw2Nep3oOfa4LPzepnaoIqh5bs0BiHVKr1SGcYAgTlNfP59WEJgSjyVAcYDh69cKzeXMNTbiw23EcE1hI7J07k/roI6qCyePB1q4dLV57bb/OQS8pwZefT8IJmWjRP4a853MLfFUC++YFEJOuPIc547EIicWRqMpdqxGVon7qQbv4dqHkeZWFqpwzvmV4yW4QIm1mLj0uM/Sg2QqDH2nYB4xIAM2MMHxk9CumfLsdj0zHduUEoi3LlYqct0otjv9+AaP/UHXudaFlX7j6WyKXTsO65VfcuVVIt0d1HF9zdTgrar+blXfgLFa73szjla5EyPwSQ3s+LLb67+9zhhImQjj1SDVOeRg2LVTPGKlIDgc/Fn6eI16xxJbtpCakZ/gg7cBRPnizsqj45Vc0h53oU05BizzE+lSasEc4JNlj9xTHHnusXLJkSWNPo04YVVVsG3UDzn/+AV3HnJJC+lNPEtk3tMNWSon0esN3rPuI0m9ms/PeexEWM9aIKlqdWoAwlNEyfJCzNIaybRG0GFBIZMdUuPQT+HCE6nYGVct/7fdKh2FP8PMLStXLZFWL/sivILXbvn0YdwUsfVc1ZqV0gWOvUqGw8lx4vZ9/J64reo6W/aFoI5TuCC0zNVnhlIca1AdgeDyUfPYZvqxsHMccTfSgQaEn5P6rEtlef/jHYoPrfwrv9N7yC0wfHvBikjoqAaS6mtTy18IbJ4WSJvYYHmqwg+F1wtbf1P8z+9bPQJu/FqYOVfkPzaSS+F3rL7/eFzhXrGTrlVeqnh5Nw5wQT+sZM+rvmG9Co6Gh7LFNhuIgwLV+PVuGX6S8CikRdjvNX3qRqBPribnvJ/gKCthw6uCQVn9HqiB1UAS+7G2UbHRQvj0CzaKouW1xBqDKEnWPxFtlxhJpYGrXF67eAzaV7X/C++eGlunGZMDt9ehOOYth8ZtQkQvtT4MOp4ef43WqZGzhhkAYxexQIkLJHVX10T8fqXuu+w5yVqiGrdrQzDDogT2WHa0TH1ys7lWTeBeq3PaiKeHnFm9RC7o9Vn1G0y54f7Yugjl3gatEdfOe+mjdRmVPIaXqerdFH9CY/+YLLqyhfQcQFguJo64n+ebDTyv6SMfhTjN+RKFoyvs1RgJUn0T+yy8fcEPh2bYdYTaH1A+5KyIpKOxP+U/f1RxrdnQplihfzXonDShcE03xukgk0PyMHdSuXzKcTvInTcL172ocXbuQNHo0msOffM5bFV5RU5YdIOMDZUy2/qoS479MVEbC8MLfH6gd//E3qvOqipQC2/Y/1WIbHGv3OeGTq2D0IhVa6TdGhXgWPB3gIqkNk63uJPbeIFjbAtT/nUV1nxvfSv2A8ow+u0Yl4a2RcOZz0G1o4NyWfeHGn/fPHIMhBDji9v+4teArLAx5Lb1evLl5B/y+TThwaDIUBwHS5QpbOKVnz6Uv64M3J4fcJ57Es2MHEX36kHL7bWg2G5bmGSFa2qC+tNFDzqRiwYIaT8OR6A3ZYAoN7AkeDF80ADvmGnSoqkKLiABXKdJVwdZRt+Neswbp8eBctoyqJUtp+cF0xVGV0CY8WeyIVzvq6FTIWgbf3KYMh9AClOKgPIL5jytDUbYTJp+gFn/dV7dcaPHm0NeaWanmhUAoOoX4VnDa43UnfPcGXYdCblCDoyUCugzd9TWgKpDWfac8Hm8VzLpJsds23+3G7rBAZP9+lH39TSAv53AQNeAQ0dL2uZXnWZGnDHJ9vGBNCEGToTgIiLvwAsrnzQvoYTscxF00fDdXNQx6eTmbLrgAo6hYSYFu3Ihn0yYy33wDS0oKqQ8+QM6jjyEsFqTPR9oTjxN7+unIykryJkxEut0Y0Q6kthXhj+UbPoG7JCg0YrbhzcnBtu4tWPwGrmIrrhWxAQ/E7ca1di2eTZuwtWunqMG7XwjLP1UehO5VC+LHl6v/G/Us+jUfyh8y+ukpqCwihJGwNvy5E0MaVHoribJEIdJ6ws6/Qs/rOGS/8u7I8kLIPAHR+zpY9r4yjMf/X43SX13wFRWR++RTpDm+QjMFeTy6WzXNHSGGIvX++9GLS6hYsABhMpF4wyhiTj+tsaelGhTfOR3y1yiDYbbV6LU3YddoMhQHAZHHH0/GhBfIf/kVpMdD/IgRxF9++X4Zu3zevBojAYDHQ+XPP5Pz2OM0u/8+4i64gMgBA/Du2IE1MxNzUhIAccOGETdsmH+QHNUQ5ixBGjruYh+Fq4OCTbqOuehPlUg2vBSuivTfL8hr8PmQuqF2alOHqS+jNKDbMEUB7i4LpwCpC2a7YgsFZPZfiDAj4dfSrpmblzkrp/HA3y+iGzopESnMMpkI7YuWkLV/cljS66XogUuIN89DShBmE+LiKYguZ6vw2Kz/U53XfUZBWs+a6wyPhy2XXIo3K4uUIRItOOdssoL9wIeEDhY0h4MW/3sVaRggxKEjYrRuDhSs89PCoP6dey/0vrap63s3aDIUBwnRgwaFV83sBxRNm15nh23J559j79aNuKHnY0lJwZJSf1kr0akw5k/I/gthslI1fxX8NBEtwoLh8ZJy/31o+f/UhFhcxRYIpdZD2GzY2raBaedD/upApdHKGeFJZaGp66vLQE02RSvhrYJ2g2HIc0gpmaUXcQbULPo6YLLHqPyDRzW+bS7ewINLnsHtn87Oyp3Mr3QyxGRFVJeVahZFgbEfUDDpORLN84I6233IT6+CEVPhs6sDi9DKGXDV1zXNjK5Vq1Rzpc9HztJYMvoWq8dgsSGi0xR9xWEAKSXFU6dR8uknCKuN5LG31htWqqHKd5fD7Ltg++8q/HfWBEg4MAI7u4SrNPy7onvVz/4oFjiC0WQoDnP4cnPrPC5dLsrnz8ezeTNGZQXRp59OZJ8+9Q9kcSjuIyBx5LHEnDqYil9+Ie+FCeQ99jh5GKT3jSEmrQxrhI633EyNsRCCmHPOQZjNkP1XaDmqz6VKNoP7CExWVd6auwocsXDupLBKp593LOQzi8FZBPwHpxBEORIDpbvAKquJ1h439xQWk+7TWWa3MSkhkTPJQFTmqzlGxKvcxH6A96+fkM1Dj0mfRCx4JmAkQBm9nyfAiOmAf9H0L1IVWQ62/mAisrlOwvU3Yz7xhkNDva4BKJryPvkvvYT0c43tuPkWMt96k4hj6wmbSalKg7OWqQ1D8RZ46xTV+HgQEushCKavB7WByDi6yUg0AE2G4jCDNy+P7Lvvxr16DZbmzbGkpqIXFama9WCYzVQuXEjF/Pmg65R8PoP0Z55pcKzYnJxM/oSJGKUBEaHsX6NxnGfQrK/OltkgTXYQGqbYWJJv8Zc+RjWDoiCaC4sD+o5R5a+6W+3eBt2vGtV2gR3lOxhfWEiQOcIiJUZyJ7TNAfqLdJ+Pt3LyiDQkJuCUyioydAPu2KxCQdJQTXB1kfTtDeIzEdofIYeEJsOoqQC/6JCCvWtXLC0z8WzchPR4cDuj0SKPwjT49sMq7FHy8cc1RgLUhiTnsccRZjPmtFSa3XMP1uZBlrRaTKrau5OGyhVs/6PuMugDicS2cMlHqpigqlD9XVzw9sGdw2GKJkNxGEHqOttGXoln+3bQdfTSUrSoKExxcRguF7KqCjQNYbcjLBalceHnjJIuF3kvPN9gQ+HNzcVwh4aMpNSoaj+O2P7daDumDZXLViEsFqIGDlSdt1IqNtcvb/HX6UtFcTHwTiWcVLJNlbE64uu+aRA6J3YmSddDyMhsoK5v1lntUKXBUV4dNwKTf6W2Ad1dbjSvu35uqH1A0p2PkDf2V1I670QaAqFJjMFPY46NUYR71V6FxQHHXlNznTCbaTl1GgWTJuFetw57zx4k3XTToRO/byCEJbz/w71hg/o7W70a55KltJkzO8Cya7LUwRYsd91HciDR5kS4bWXj3PswRpOhOIzg3bkTb05OzeKPlCAlaU8+gSkqCsPlRi8uQtjtVC1eTPHUaSHXS1cdDWj1wJyQELhPNXSdvGmzibn8ZszuUmKjVkJlHmRpiivqo8uUIpmmgdDwHHM3eV+vw/vdFUQNHEDSDTeo8FRVkeKMistUzV914KiUo1if3ov47Uux+UM2htmOFtsCln9Ss/gIKbDVorzQkJC9DNqd0uDP21BYm2eQ9OZvVMz/As2dj+PEczFn+LvWdR8smqQ+/wl3QKchIdeaoiJpds/d+31OBxNJN48h+867Qpo4a/5ODAPD7aZy4UJizztPHbPHKKr0VTNVOM5kU6XALZvKUg8nNBmKwwiawxG2eEvDwJyQgKNHj5DjluRkSj79LFCSa7cTc/bZDb9XRAQJV19F4eQ3Qo7rhYV41q/CNvtiqMgH6YOlUyCxDZRmqSY4wOc2seWu/6F7BBgG7tX/4l23nPRLj4a596t+ByHgoveVkakD7S/7At/HlyE3LwShofW9GcqyIEj3AukjbE8uzEpa8wDBHB9PzAVXhb9x9OXq52BASljyLiyerJ7liXdDlzq0P/YzYgYPxvS/VymZMQNsNspmzgoNewoR3vV97iRFEb/1NxX+6T+2KS9wmKGJZvwwgjkxkdihQxH+Dmhht+Po1Qt7N8Wh5N68mcpFi/Dm5eHo1YuMFydibdMGc2oq1latKJk5kw2nDqZ8/vwG3S/mjDPAVovMzzAwbZ/nV1WrTlobilrDF4hdV2RbMXxGzSIiPV5K5y5AfnOXild7q1SC++ORoYnuYNiiMA+djGjZD2G2w78zwF1C7YqrMGhmSO3eoM942GLZ+zD3PlWGnLsSZoyC9fMOyq0j+/Uj4/nnyXjiCeIuvLDm7xGzGS0igqgTB4ZeoGlK+2P4uyo/1ViJ+7Js+ORKmHwifHdvgKOrCbtFk0dxmCH1kYeJ6N0b56qV2Fq1Ju7CCxCaRv5LL1H4zruqsU7XyZg4geiTTiL6pJPY+fDDlM76AulyYRQXk3X7HbSc8h6OnqrO33A68WzejCk2FktGhqp/13VsHTsS0bMHzn+WK21uu53Ifv0wRVrqp8iohtDqTtKGHZLqC5xUq3zVMGDOnfBnkBZDYYXq1jbbQnsyhEndS/jzImc+oyRJGwOGrnia/pqunkG/MXDS+P2fsF7ydiiXls+p+lza1+2d7RW2/wnzHlI9MN0vUgUItT5H6sMPYW3ZkopffsGSlkby2FsPTfI/V5kiW6wsUGXZ+WugcCNc+nFjz+ywQJOhOMwghCD2nLOJPScQRnKtXk3hu+8h3e4a2oSs226n45+LEWYz5d9+FxJTlm435fPn4+jZE/fGjWy9YqS61ufD2r497tWrQUoi+/en+csvU/zpZyoB2707CZdegijepDQSainzIUxq92iyEt0xnrzVEehl5SAFwmQQ28oZvl4aPohOg6JNKtmd1EHRnf/xulpswx6ACbpdCP98GOjuljpoNrh+vgpt7GuF046lKtfiiFfx9foYWevCgmfh7+kB7+q3VxQh4jFX7tucaqMu2nZzPRKoe4O81aHEjoUbled38viQ04SmkXjtNSRee00dgxxC2PKzmn91Psvn8mu3l9ebJ2tCAE2G4ghAXeR/GDp6SQnmpCQVGigpCbxnNqNFKfd/xy23ohcHOrvdKwMVIVWLF5Pz1NNkPPN06A2TO8Bln8H0CwM7e5NNhXuGvwteJ6aENrS+ZDN5N52Jr1ISmeYisWMdISbdgNl3wqoZqr9C98LQ12HD9yGhrKAPpoyB2QbBfFlSV7oX+2okVnwOX45WJZxmK/z+mmKobei4a2eH91Os+Wb/G4qTxsNHlwZVWUWE62DsC1Z8Hv45lrwTZigOG4j62HIPr6qzxkJTjuIIgK19u3DdbbsDk79EMeWeuxF2/27TYsEUG0vchRcC4N2+vV7tZOl2U/V7PXKZrQfAuHVw7LXQ4nilDXHll6qSKbkjmCxYWnUgY/J0Wp4lSeriQmh1fSl98M8HyuC4y5RxmHkD+Dx4K00Uro3A8Al/gZcGzbrBcTcqz6N6B22JgGOu2j87wznj1AIpdfVv6XalOtdQRCYRsvgI0y7FnvYabQfB5TOVRvrRI5VmSFqP3V/XUJjM/g76IBzOcqStB/gFrvxluWaHooQ/TBodGxtNHsURAFubNjQbfw+5TzwJZjPCZKLF66/VyKnGnn46lqQkKub/iBYTTdzw4TV17pbmzZVcaz3GwpycXP+N7bFwdj1yrFLCgmdUCAmh9B9+fqFhH0hoULCWbQsT8JSZqcyx40j04HNbiB8xEbvFDlfPgcVvqJBV5vEqRLQ/4K6liW34wFlS97l14bQnlJiR7lXxfEuE6i05EGjZV/0cCPS8RJX6eipVKbLFAQPG7f66QxXWSCUqNf8xxTjcaoCqvmpCg9AkXHQEQS8vx5dfgCUjHa12tVI9cK9fr3IUPp+iJPcnwwUq/pz5/hRs7dtTPOV9nCtWYO/ShYQrR6pSXU8VVOQoLWpLrfj4H5Nh3sOhFNwmqxLj2R1s0UhDsGZqJMG7c2Ex0eyBB4m/6KIGfbaGQK+oJP+ll3CvXYu9ezdSmv2O2Low0ElscSg1uiCCv92iZLsKN2km6HI+RO3C2NYHKWHtHEV5kdYTWvXf9fmVhbD6C9XL0fEM5dntKwo3wsLnFEdS94tCNTOacESgSeGuCbuEe+NGXCtXYm6Wir17NzybNmGKjcWcnEzFTz9hOF1E9uuLSZSTPWoE5esqQapF25yaStuJY9Bmjwb81U0jpkObkwI3ePt0RQIXjPSjVMLaXYH0uXEWmXEVWYlp4cRs97PRWqNg+LvIHx5j3aRcDF8g/CHMBhmX9ST67o9U0nxfICVyw49sHvMonuwipNeLsNlw9OhI5pkgNi8AWwycPVGpzB0MVBXBolcVm2/hBqXSZ3iVwRkwDgbWs6Mv20nVwwPIXqihuwSOZJ30197H3KnfwZl3Ew5bNBmKJtSL0q++YucDD/oXW0n0oEGkP/dcOJ3Ell+RU85nw8x4fK7Q+HSzPlUktAnyDqxRcMfaQMz3w0vUjjhYJrTzOXDBW/gWf0jhhEdx5kpcRVaEgJan5mOP02HcBnjvLCjeQtlWQfaiuBqnIjLFQ/NBTsSZz+xbclhK+OwanIvmsXVuJNIX5LXY7bSZNRNrq1Z1X+sq85MZxkFyp9By0fJc+PNtcJeqz7onojiuUvjf8aqJsS6tDpMV7tyoOp1rwfv+TWx8Zj5S9xtPIbGn2mn9498Nv38T/pNokkJtQp2Qus7O++5Hejw1x8rmfEvFz7+g2e1EDx5MwsgrqPhpAdGrbsPi8GL4wpPQuqeOxGbJNmjWRf3/lAdh88JAVZTZoZqtfn0Jbf4zJHXUEZ0khWujKFgRTe6yOFqe6VNlqWU7QHcT0xxsp+fjLLRithtEproRPpR06r9fqp3+sVfveY/Clp+VwpzXgyACGZJ8VlTa6D4oz4aIRBXfBshZCVPOVr0Shhc6nQ3D3lT3r8iD1/qp0Jrh71Y//7WGh2v+/UJph/uNhJTgLLCiuzXsCR4ssWY1dh2Gomr15tDiHSlw5bgxXC40+34smW3CfxZNhuI/BqOyUjXUBUPXMUpLMUpLKZ42jZJPPkECceeqSqqIZm4qd9qQhn/HqmlENqvFG2V4ISYt8DqlM9z4iyp7RUC3C1RJ64Jn0YQP/MUniZ0qKN0Ugc9thmGvKg6ooPnZYnRsMbXKZIu3qITktt9Us96A25UojdcFbU9WfRi7QnkOCIE93os5QsdTIcAQCKsVW/v2WG3l8EJH8FYqo3Dmc6qq69Or1GJejTWzYfWXqnpm2fvKK6imWPc54fsHGm4ovK5AF7uEHb/EU5lrQwiVS25xpiBy3XcqPNV6QA0lPIDW9nhgS+h4mqiTwO+IwY6lakOR2qNxtC3+Y2gyFP8xaNHRmFNS8O3cWX9ZrN/b2P5zPAhwl1iQ0q8sZ9Jo9uCDRLTIU9rW1b0PQ54PZ4VNaK1YY6uxfXFYWEXqAnOUwHHKcOh4pqpi2q2HEKSvvWgSrPwcKnPVYSFURdSuSkXTjwJDR2jQ6tQCcv+OwV0Rif2UYTS74w7E68eEaF7w7T3Qog+Ubgsdx+eCgvXq/+6K8JCRt64+kHrQfrDqgtahPMtOZa4d6RM1gbus+dAh7gFFXf7rRDjzWVUWC0SNvBfbZz/g3p6P1FXSP3ns7TVVb0ccvhoLyz9WuRvdB8MmK2PdhAOGJkPxH4MQgsy332Lbddfjy8ra5blVuXb8q6+61mombsSlJFzsL0XtOASKNiv6jfiWu7+5uY6mNQG2Hr1JGf+wep3QRjXzfXWLSujuDrrHH6oKhNL4+ja4/of6r0lqr8JCs27CpHlIPz0eLp+hGvlcpUqrIBiaSSWWE9ur/ET18m22qb4OUF6MMAU6f80OJQPbUCS0hiu/hm/uwLc1z2+YA56V7pRIr7+z3euEb8fXGAphtdLqyx8omTULX14eEcccQ2TfA1Q229jY9ocyEsH0JTNvUGHAw7nP4xBHU8PdkQIpVY6gYL3aZe0CttataTNzBjRoxxnY3UuPj7KvvsSo9HdYJ7ZV3EINMRLV52uh4RCTVSPt0SdCwySt+sPNS+vUkdZ1qMy1YvgEulf48wnKSOgegbvUjFG8c/dz6TYU7s2Gu7fBrf+ouQFYo5WXFAyfC5xFiuk2uplK3JtsaqHucLpKYM97MGAkhAmOugxOf7Jhz6UazY+Ba7/DfvwpCBHk7QmBLVYPdbS8zhCPUFitxF90Ecljxhy5RgJUA2TtRkBDVwa+CQcMTR7FkQDdB59eqbhrhAaxzVX4JTKp3ku0iAiEyYSsrTmxu1uVlLK2/wnYWrbE1qkTze6+S2lXbFoAOcshrqWq+KkrfKSZFS1GMPWGpoUZjxqc+wp8MpLqHbxEULw+hoR2ZTWa1VJKpBCUbraTsyQOISRS02gxYNHuF0xNC+/M1TQY/h58OtLPLipV3uGHR1SD4a0rVHhs3Xfw+/9U17arLDTsZLZDxrF7J87z8eVE5C8kuZuJvOUxCCEwpyTT/Lj1gXNMVpWjOJiiR1LCv7NUQj+xnWpw3NcS5b1Bao9wQkpHQoPEsJqw92gqjz0S8Pvr8MPDgZi4ZoEOp8GID3Z5WcmMGeQ8+hgIoZrtapP87Q5mM5a0NNrcdSJi0Uuge5HCBG1PRbv8Q7XAbvxRlY22P1XtzF/rFxo2MNuh+3DFU1SbQRYUg+mfb4HJQplxLL4ZD5HQNrRpz1OpsWl2SqA8FBAREXT49RfVGLgrGEbdC95PT8PC50MNQGSSKlFd8w18fm39OQizXWl097l+1/eujYp8mNilxkMyfGCIaExXTUNIXYXjnCWq7Hbo5IOrOf3VbbD8I/W7s0RAm5NV70xjKPT98zF85ZfStcfBFbMC1XZN2CM0lcf+l5C9LHTRMrywc/luL4sbNgx75844V67EvX69EjoK0kPGbMYn4+PJAAAV+0lEQVTWvj2G04l3y5bwAXw+9KJCnDNfJjLFDQIEBsbab/Eteh/zwgdCQwJnPBO+G/S5FBPsys9h5JfQonfo+7ZotUB7KjE7LFSU2JAydH3ylJsRWiDyUw1vTg621vVUxOSuUr0eJduUzveI6dA86PtSl4RntX7Bis/qMBL+ZD8or67NSXXfd5cI5INAOWCa1X+o7Slw26q9GHM/oDwH/p4WyAN5q2DTj0oHozF0P3peDF2HqnLhiKTG8Wz+Y2h6wkcCUrqEUkwLkyLNawDsnTsTP3w4ze66C0f37oiICLSoKLTISFpOn05U//748vLqH0BKpBHqlUoDfJ/eHh43/vZuiEj2r4BBYRnDpxafb+8KPX/7nzB5gKpsWvoujt/+D1vr9LC+DmukHi7LrOtYUuoh4/O6YMo5ULIVkIqGZOr5oaWv7U8LVWEz21VIDVSYo3ac3BGnQiAJbZXGQV3e0e4QmQyZfQO/S82iiOxaHLfnY+1PuMvDw4OaWYXcGgtmqyJbbDISBwWN8pSFEA8LIbKEEH/7f4YEvTdeCLFBCLFWCHF6Y8zvsMPxN0HGMSokYI1WCddzX96jIYTZTOa779DitddIf+Zp2n73LeXfz6Vw6lRkVVWtk/1VUBaLUs+LqrVQC0CEhzQ9wGy9kE0Wa92sneV5oSW7394TUs0kgITE5XhbX4wUgYXLGq2T3L0cYZJoFgNhMZH29FNokZF1f9iiTarMNPRDKQ2GaqR2V6G7xHYQmaJi8me/qN47YazydDQzoKnnPuJDuHsz3LIMWtdSeGsohIBLP4Le16ocR/cLlcbGvlKn7yviWymDVUPVLf4bKoJNqEGj5CiEEA8DFVLK52sd7wJ8CPQB0oF5QAcpawcVQvGfz1GAirXnLFcLYFqPfVpcpK6z7brrqVq0KOy9yIEDVLjq77+xtW1H8thbKXrpEaKLpmCL9uJ1aZRsjCKhfVmYjo5LwNCMNApMJt7Jyae7T4aWtQJk9oeRM1Xp6Us9VXNdMIQJbvoNNv6gmtx0D5TuAN2Lx2nF64nFesuXWFJTVQnpzn9U89+ZzwaS+xV5MLFr6L3NDrjx54Z7AmXZ8PeHoLtVDX9jKeodLJRsU3mZvNXKcFzwtqKTb8JhjcM1R3Ee8JGU0g1sFkJsQBmN8BWrCaHQNEjvtV+Gyr7/gTqNBJqGJS2dlNtuCzmcNP4Z8l/KwPfHR6R2Wk9yTw8iyMPwAIYQTIqLZYe/DPbWlCTmZxcQhh2LVRJ50H3QZahqLguGEKqqq+9o9QOQtRTWzMaKgTW+DXi3w7vXQuF6ZQwK1kP23/B/vwdCFv3HqpCWNJTx6Tliz8JFMekw8I7QYxV5KkwT11LpORxJiMtUmhdN+E+iMf+axwghRgJLgDuklMVABhBMObrDf6wJBxFl33xT53EtMhJTYgJZd4zD1q4tCddcg2a1IvJWkjL0WHC/AB4DjGrZVQH2OH60wGvRNjbaAjH/CpMpPFkMKhGftUz9v+cI+PUlghvPiGoWCFtVFqi8QrPuKg/8/rnqnlJXSfLq8Q0vVORC7goVogNliNqcqHbIiW1VFc/eQkr45g74a5oKyUQkwtWzIa7F3o/ZhCYcQjhghkIIMQ9IreOt+4DXgMdQX+/HgBeAPRLdFUKMAkYBZGbuB+79JgRQR2+FFheHo2cPit55F+lyIWw2Kn76iZbnGIitv6jkrqeW6I8lAk5/gtRfnyXLEii9tRoGx1sSoXUH2DQ/1GCYrIEwTtZSFULzBkmolueoiqMFz8GiV1R1kjVKJYBr3z8YUvpzCkFodUIow6uUyvBYHHsWuvv3C1W5pbvVT5lLhWmunavedxbD+nmAhHanqnh/E5pwGOGAGQop5akNOU8I8Sbwtf9lFhC8DWvuP1bX+G8Ab4DKUez9TJtQG5EnnEDlggUhx1Luvpvchx6q4YGSbjc21zLYXAa6q65hAAPSetCz43k8umIKT8RF4hQax7u9PNl7LLQ7BT65SpVaggoLJXeGk+5Wr6NSwiWNTRbY9jv88ZoKK+keJaBUFzSzqqgy21Weoppuoza8Tlj7rWqqK90BSOg7Bk79//buPErq6krg+PfW0qvN2m2DqCCCKCASZaIRxQ2jLIorihN1PFmUoHESjxozE0fNcZKREEfHJYNCIMkIyhgyQNBJxEgAnbAoio1RQRZpNqWVRZre6s0f91dWVS/VXd3V/avuup9z6thdVf3r96Sqbv9+7917H2hZnsDudxJzQ1wd7N2oX+8vh5nnxR4P5WsP7u7HNn9cYzKEL5eeRKSvcy5aZ+FK4F3v60XAcyLyC3QxezCw2ochZrV+M2ZQfvfdfLFqFYG8PErv/zEFp53WYCtiTlEN0iBIiC5Eu4jmTfQ5FUpOYVz1F4zbsEC3WV7wo1gdpJsWQm21fthKQDNvo9f3A2EtlSGVICGt5XP545oDEYlPDvTyD6KBAfQD+ZSJuoWzz3Bt/NNYLaDKz+CZC+GzbYmJGKtnQr/TW1ZsrvcgPXv6MliIrlOAdvk7XBE7ds0R+NP9cM3s5o9rTIbwa43iEREZib7DtwK3AjjnykTkBWAjUAtMa27Hk0m/4FGFHP/0Uwn3uUiEnP79qfroI6ipgWCQ6qruuHAVEv2AlKDu+b/2V5oxG22PGgzBhBl6q6/miH7AH1tv48XWVTD/+rhscwfn3wcjJmt570A4cddSt2P0ks7evwFOS4+fVy8vozF//lc9i2iQrXdYC9C1JFCMuE77Y2xZ7uWIBHVXEDQ8tqvzzlqM6Tx8CRTOuRuTPPYw8HAHDse0gAQC9J87h10PPMiRsjJyBgyg+MEHkHWPwPrn9MOxsASufhaKGluaqufIfph/A2x7Q0uIjP4BXPijWJe91f+ZmP1cV6O1hs65U8uRD71cv48mgl33Wz0DqPxM/7oPtaxnOHvfa7hFF/RyVc8BLTtGIAhT5ulZUdVBPSuKNhgadBHseis2l3C+Zlkb04lYrSfTdgf36EJyKttCX7gZ3l+Kq65m5+oeHNiejwRD9PrWtyi5805kwT9oIIjX7wxNQANdeN67US/rlA5r3QLx5j/Dc9dqEIoXCEPf03TnUksDTlMiXo2m9fP0+xGT4fInut72WdMpddY8CtMZFZUCpan9zLbXoa6avW934+COPHCCq62jYu6vyTn+eHqc9V2t0Frr/SUeyodz4vI3RNqW5FZXA89/o2GQ6D0Ivv6w7k5Kx4d5IAiTnoSJj+n3FiBMJ2SFUow/ijSwHNqVm1D11VVWcmj5cjj+TLhxofZ7OPFCmDw3VmspHb74pN6COFr+5OKHYMil6f9AD4YsSJhOy165xh+XPwFzJhAqEKoPxlVNDYUIHe2dnfT/mt7aQ2FJw7yKSK12sTPGJLAzCuOPY0bC7Wsovft7BPLzkLxcJD+fUM+eFN92a/v//mBYS4vnFGqBv1AujL0fSlpWdbddOAdlv4el98Cqx5vODzGmg9litvFdze7dHFr+FyQcpmjsRQS7dWv6yft3wIFdUDwoPV3NKj/XarLdjmnZbq32tOwn2jWv5rAGrt6D4NuvJZY7NyaNbDHbZJbDFfD+S4CDwZfAUSVfPhTu04ee101u/hjLp8OKn2uZD1cHU+a3vqR3VH4P3Vbrt7oaWPXvsXWT2ipNAty8TLcDG+MjCxSm7Sq2wMd/1b/wB41tmAF9YCf88txY5nLwn7Sb3YFyvQQ04NxYcl5Tdr0NK2dosb9aLxt8/g1w7/bMal5TU6kf8Ecd3bItu3U1mnsRzOHLDnnxqr9oeJ8xHcwChWmbza/C/L+P1UTq+xW46fewZhaULfS6wYkmwkUzlGuPwLNjIZyr1+WL+mh+RF539i9ezIElfyDQozslU6eS07+/VmVd+Qst9RGvtkqPW9i7Y+fclB3r4LdX6VlBXTVc/CCc9d2mn79mljZnAq391OdU2LMxlgAokli00Bif2BqFaZufHgdVcS0xwwWaebx5mXcGIfqB11hJ8ahACMIFVGwMsnd9Aa7GQSBAoKCAgQ9NIfzW9MSie1F53eGerZlxRuEcTD8RDu+L3RfOh2++orWm6tuxDuZOiGVsS0B3XJUM0aKH3frqzrC+Izpm/CYr2RqFaX/bXk8MEqAffJteiSXK4fSKSiCsfSEaE6mFqgN8uqFUgwRAJEKkspLP5/+KkoH1gkQgrCU2pjyfGUECtCRJZb0e4RLUEiGNBYrydYltX10E9n2gzZUyZU7GeOwVaVpv26pG7myk74MEdcE4EMZrqN348eqf3Lq4/IrYwbQq7F3vpSfHwjnd+VQ/QztVGxeDq5fA5yLQa2Djz+/eL64HtSevpwUJk5HsVWlar7BES2vEy+0Oo+/US1AAiF6CufpZ7UkdyqNBRPA+MHsOOowEY5eoJDeXbtd9O7GJUDgfxtyjuQ+pqjqkvcWj9pfDk2fC9EHwcF9446mmfzaZXe/A4jsa3n/mrXDsGY3/zEnjYOAYCBdqRni4QP8fGZOB7NKTab3TpsDa2bBvk/cB7GDyHG0rWlgMZb+D/F5w4T9rz+WPlusup9q4qrDhAl3I/fxjiocfIpAb5EDFAAJ9B3L0D+4i99ThcMLx8OZv9Llj7oLSoamN8/Pt8Jsr4bMterYz8TEYOUVrPe3bFFtkf/UhTQTsf3Zqx3/jSRrdsTQmSZnzQACunwdbV2hL135nQM/+qf3eZDa/Cisf1aKEX5sGJ09I37FN1rFAYVovlKuLtX9botfoB5wDxV4JjFG36C1e934NF6WjC75lLyIH99D75rPpPfC8xOcMndSyvhBN+a9rNanORfSD8w/f13WD3RsSe0VE6nTtINVAUdtEh7/m2qmKtD0PpDEfLYd5N8QC8s434apn0lsry2QVCxSmbUI5sW51yUQi8N/12qJLAG54HvK7w6iUWqa3XF0NfPI+iX/xiwaEwt7agzsqENYM7VQNvxreW5wYdPqc1rI2qu3hr08nnrXVVMLr/2GBwrSarVGYjnFgB3zyQWLF1pzCxOZE6ea8hfXcoxLvF4GivvpXdrhA1whyCrVi7dArUv89p1wGo7+nay2BIBQPgRt/l545tEojAcqvoGW6BDujMB0jmNuw3aiLeBnJabbhRVhyp2Y1H/t3MP7nsPgfdV3AAQPGwKCL9ftpq2HHGs2iHjCmdbuORGDsA3DevRr4okmGfjn7Dm3KFN/LY/T3k/+MMUlYoDAdo6gUhoyHD//oFb3Lg+KToF+zuT6p2bkeFk2LnamUr9NLXLethPK1Wlpj4AWxD/Iex+ktHcL5za9LdIT+Z8M3XoTXH9N1lzOnwuCxfo/KdGIWKEzHuWY2rJ6pdaFKTtZttPWb+excDy/dqxnOQ8bDRT/WnVIttf2NxC2wkVr4eDX0PlErzmaLAaP1ZkwaWKAwHScQhLOm6q0xFVtgzvhYIbw1M6GyAiY90fLfEW1IVFcVuy+vm12jN6YNbDHbZI4PXk7MkK6phA0LUjvG0EmaZxEu1MtboXy47PH0jtOYLGNnFCZzBMMNy1rULwfSkmPc8pJuVz28T6/Xlw5L3xiNyUIWKEzmGHYVvPYzLR4YqdWtq+felfpxguGW5XYYY1rEAoXJHAW9dHfSykfh0B44eSKceo3fozIm61mgMJmlqA+M+7f0HOtwheZP7HpL+09f9njrt8KWvwkv3aPHHHIpjH0wtd1YxnRiFihM1xSJwJwJ8OmHeilrfznMGgt3vKlZ2Kmo2AJzJkJNdDfWbC1NfkUrq80a08nYrifTNe3frtVio82SXJ1uu925PvVjffByYtOl2kp498X0jNOYTsAChemaQnmJiXegJUNCuakfKxjW7O54qe7GMqYTs0BhuqaiPnDy+FgDpVAeHD0MjvlK6scadhXkdosFh3BB8l4TxnQx9meR6bqungVrZmmNp+Ih2sAnEGz+5+or6AVTV8Gqx3Q31pDxtv3WZBVxrpHOXJ3MqFGj3Nq1a/0ehjHGdCoiss4512xlTrv0ZIwxJikLFMYYY5KyQGGMMSYpCxTGGGOSskBhjDEmKQsUxhhjkuoS22NF5BNgm9/jaGfFwKd+D8JH2Tx/m3v2au/593fOlTT3pC4RKLKBiKxtyX7nriqb529zz865Q+bM3y49GWOMScoChTHGmKQsUHQeM/0egM+yef429+yVEfO3NQpjjDFJ2RmFMcaYpCxQZDgReUBEykVkvXcbH/fYfSKySUTeF5FL/BxnexGRS735bRKRH/o9nvYmIltFZIP3b73Wu6+XiPxJRD70/tvT73Gmi4jMFpG9IvJu3H2NzlfU495r4R0ROd2/kbddE3PPyPe7BYrO4VHn3EjvthRARIYC1wPDgEuBp0SkFc0WMpc3nyeBccBQYIo3767uAu/fOrot8ofAMufcYGCZ931XMQd9/cZrar7jgMHe7TvA0x00xvYyh4Zzhwx8v1ug6LwmAfOdc1XOuS3AJuCrPo8p3b4KbHLOfeScqwbmo/PONpOAud7Xc4ErfBxLWjnn/gJU1Lu7qflOAn7t1P8BPUSkb8eMNP2amHtTfH2/W6DoHG73TrVnx1126Ad8HPecHd59XUk2zLE+B/xRRNaJyHe8+0qdc7u8r3cDpf4MrcM0Nd9seT1k3PvdAkUGEJFXROTdRm6T0NPrE4GRwC5ghq+DNe3tHOfc6ehllmkiMib+QafbFLNmq2K2zZcMfb9bz+wM4Jwb25LnicgzwBLv23LguLiHj/Xu60qyYY4JnHPl3n/3ishC9PLCHhHp65zb5V1q2evrINtfU/Pt8q8H59ye6NeZ9H63M4oMV+8a7JVAdIfEIuB6EckVkRPQBb7VHT2+drYGGCwiJ4hIDrqYt8jnMbUbESkUkaLo18DX0X/vRcDN3tNuBv7HnxF2mKbmuwi4ydv9dBawP+4SVZeQqe93O6PIfI+IyEj09HsrcCuAc65MRF4ANgK1wDTnXJ1vo2wHzrlaEbkd+F8gCMx2zpX5PKz2VAosFBHQ9+ZzzrmXRWQN8IKIfBOtkjzZxzGmlYjMA84HikVkB/AvwM9ofL5LgfHoQu5h4JYOH3AaNTH38zPx/W6Z2cYYY5KyS0/GGGOSskBhjDEmKQsUxhhjkrJAYYwxJikLFMYYY5KyQGFMG4hInVfl810RWSAiBd79fURkvohs9spxLBWRk7zHXhaRz0VkSfKjG5MZLFAY0zaVXpXP4UA1cJtoIsRC4DXn3InOuTOA+4jVLJoO3OjPcI1JnQUKY9JnBTAIuACocc79MvqAc+5t59wK7+tlwEF/hmhM6ixQGJMGIhJCC/ltAIYD6/wdkTHpY4HCmLbJF5H1wFpgOzDL5/EYk3ZW68mYtql0zo2Mv0NEyoBrfBqPMWlnZxTGpN+rQG5c4yFEZISInOvjmIxpNQsUxqSZ12znSmCstz22DPgp2q0NEVkBLAAuEpEdInKJf6M1pnlWPdYYY0xSdkZhjDEmKQsUxhhjkrJAYYwxJikLFMYYY5KyQGGMMSYpCxTGGGOSskBhjDEmKQsUxhhjkvp/RnwXRc8akzUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cmap = dict(zip(sorted(y_cmsonly.unique()), sns.color_palette()))\n",
    "ycols = [cmap[l] for l in y_cmsonly]\n",
    "\n",
    "legend_handles = [mlines.Line2D([], [], color=cmap[label], label=label, marker='o',\n",
    "                                markersize=10, linewidth=0) for label in cmap]\n",
    "\n",
    "pcs = pd.DataFrame(PCA(2).fit_transform(z), columns=['PC1', 'PC2'], index=z.index).loc[y_cmsonly.index]\n",
    "pcs.plot.scatter(x='PC1', y='PC2', c=ycols)\n",
    "plt.legend(handles=legend_handles)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It appears from the PCA that the tumors cluster somewhat by their CMS label. We can use SVMs to see just how predictive the latent factors are of the CMS labels:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'TPR')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ZTrcUoGHXUaQ2SnVdV4rym24p1E9BBT0wR0Q6n5xuKTR26ngNQIvdR5qCKiKdVc63FJJ9uGIfAL27Hky5X1NQRaSzU1JIsnH5XoZ038Gg7qlX8NYUVBHp7HI2KTSeeVRXG+Ho/tP067a/mXdpCqqIdG45mxQazzz6r19tIlIXZUiPHSnrq+tIRHJBTg80J888qtx+nBGlfSgp2pqyrrqORCQX5GxLobG6mkiLT1ZT15GIdHZKCkA06hw7WMUFfbtmOxQRkaxSUgBOH6/Bo05xr4JshyIiklVKCsDJI9UAFF2gpCAiuS0nk8K+49UNpqPu23oMgF4DW/dQHRGRzionk8LBE7GWQf101D0fHaW4dwG9BnbLZlgiIlmXk0kBGk5HjUacvPzmZx6JiOSCnEsK+45Xc+x0bcNCdyxkUD4ftr+ZncBERNqBnEsKjbuOPOocPXCacJcQrF4cq1Q6M1vhiYhkVc4lBYAeXfPO3Mm88zgHdp5g7McHxXaOuArKZmcxOhGR7MnJpJCsriYKQE/NPBIRUVKIRmJJIfThyxpPEJGcp6QQdQBCW1+PFWg8QURyWM4nhaP7TwMQDtVpPEFEcl5OJ4VDu0/y5qIPGTCyB32LKrMdjohI1uV0Uji4+wTRiDPtrjGEzLMdjohI1uV0UqitigBQUJTTzxoSEUnIqaTw9PIdDe5mPn2iBlBSEBGpl1NJof65zH2KY0tkH91/mq498skvVFIQEYGAk4KZTTezjWa22cy+3ESd28xsnZmtNbOng4wHYnczD+geSwqH9pyk9yDdtCYiUi+wr8hmFgYeB/4EqABWmNkSd1+XVOcS4CvAle5+2Mz6BxVPY+7O4T0nGX3FwEydUkSk3QuypTAV2OzuW9y9BlgA3Nyozl8Dj7v7YQB33x9UMIefWcisRXMZWLkDgFNHa6ipitBrkJ6hICJSL8ikMATYmbRdES9LNgoYZWZvmdk7ZjY91YHM7F4zKzez8srKtt1PcOzFFxlYuYO9/YbT48Yb2bct/rS1Qd20ZLaISFy2B5q7AJcA04A7gX81s56NK7n7PHcvc/eyfv36tflke/sN58lbv0Sv229jw9t7yC8M039Edy2ZLSISF2RS2AUMS9oeGi9LVgEscfdad98KbCKWJAJXdbKWfiO6n5l5pCUuREQCTQorgEvMbKSZ5QN3AEsa1XmOWCsBM+tLrDtpS4AxJdTVROmiR3CKiDQQWFJw9zpgDvAKsB5Y6O5rzexhM7spXu0V4KCZrQNeB/7O3Q8GFVOyupoIXfKUFEREkgV615a7LwWWNir7ZtJrB74Y/8mo2poIeQXZHlIREWlfcvZTsa5a3UciIo3lblKoiSgpiIg0kpNJwaNOXW2UvPycvHwRkSbl5KdiXV3sucytbSks2rSI8n3lQYYkItIu5GRSiMaTQihsraq/dEtsrHzGhTMCi0lEpD3IyaRQfaoOgHCX1l9+2YAybh11a1AhiYi0C+c8JdXMQsCd7v4fAcSTEVvfPwDA0DG9GpQv2rQo0SpItvHQRkb3Hp2R2EREsqnJr8pm1sPMvmJmPzGzT1vMF4jdcXxb5kJMv83v7aPP0GJ6DWy4QurSLUvZeGjjWfVH9x6triMRyQnNtRSeAg4DbwN/BXwVMOBP3X1VBmILzNHK01w4MfXCeqN7j2b+9PkZjkhEpH1oLilc6O6lAGb2b8AeYLi7V2UksgBFI04onJPDKSIizWrukzHxhHt3jwAVnSEhQH1SaDjzaBEnNO1URHJecy2FCWZ2jFiXEUDXpG139x6BR5dG+45Xc+x0LbgTqY0SzgvFHq6zejHsXc3SQbEngWrsQERyWZNJwd071RoQB09UA3DTpYM5smoLhUV5iYTAwFLoFqWs+0BNOxWRnNbc7KNCM7s/PvvoXjMLdEXVTOjRNY/PjB0AQEG3+OUMLGXRlbMoP1WRxchERNqH5sYUfgGUAauBGcCPMhJRwKpPxm5cK+yWlyjTHcsiIjHNffsflzT76N+BdzMTUrCqTsXGzwu7Nbx03bEsItJ8UkiefVRn1rp1gtq7+pbCf1W+zjLbB8DGQ4d1x7KICM0nhYnx2UYQm3HUoWcf1auOtxRe3/caG6lhNPm6Y1lEJK65pPC+u1+esUgypLY6AkC0Sx2jyWe+DwDdwSwiAjQ/0OwZiyKD6pNCJFyX5UhERNqf5loK/c3si03tdPdHA4gncHU1EUJdDEKdMueJiJyX5pJCGCjmzB3NnUJtdZQ8PZtZRCSl5pLCHnd/OGORZEhtTYS8AiUFEZFUmhtT6FQthHp1NZFWP5tZRCTXNJcUrslYFBlUVx2hS76WzRYRSaXJT0d3P5TJQDJF3UciIk3Lua/MxyqrOBTer2cniIikkFNJIRLqyvFDVXwUXgvADO/WwjtERHJLTiWFoz0nAHC8z/7YAngUZzkiEZH2JaeSQiTcjYJuXTjZpzLboYiItEuBJgUzm25mG81ss5l9uZl6f2ZmbmZlQcYD0CVPg8wiIk0JLCmYWRh4HLgeGAfcaWbjUtTrDtwHLA8qFhERaZ0gWwpTgc3uvsXda4AFwM0p6n0HmAtUBRiLiIi0QpBJYQiwM2m7Il6WYGaTgGHu/lKAcaR2fC9sfzPjpxURac+yNtBsZiHgUeDBVtS918zKzay8srLtg8RuIUKh+OodJ+PHKZ3Z5uOJiHQ2QSaFXcCwpO2h8bJ63YFLgTfMbBvwMWBJqsFmd5/n7mXuXtavX782BxQJF1JYnHemYMRVUDa7zccTEelsgkwKK4BLzGykmeUDdwBL6ne6+1F37+vuJe5eArwD3OTugd1qHAnns7lqAxsPbQzqFCIiHVpgScHd64A5wCvAemChu681s4fN7KagztucSLiQQ1TGnsmsu5lFRM7S3PMUzpu7LwWWNir7ZhN1pwUZC0A03I2i4gJ+OH0+zL8h6NOJiHQ4OXNHsxPGQ4XUFWjmq4hIUwJtKbQnkXAhALX51VmORESCVltbS0VFBVVVufclsLCwkKFDh5KXl9dy5RRyKCl0BaBOSUGk06uoqKB79+6UlJRg1ikfIpmSu3Pw4EEqKioYOXJkm46RM91H0XhLQd1HIp1fVVUVffr0yamEAGBm9OnT57xaSDmTFNRSEMktuZYQ6p3vdedeUihQUhCR4O3du5c77riDiy66iMmTJzNjxgw2bdqEmfH1r389Ue/AgQPk5eUxZ84cADZu3Mi0adOYOHEiY8eO5d577wXg4MGDfOpTn6K4uDhRNwg5M6YQitaQV11BXZ6SgogEy9255ZZbuPvuu1mwYAEA77//Pvv27WPkyJG89NJLfPe73wVg0aJFjB8/PvHev/3bv+WBBx7g5ptj64euXr0aiA0gf+c732HNmjWsWbMmsNhzpqXQ/fgG+lX8E4Q826GISCf3+uuvk5eXx+c+97lE2YQJExg2bBhFRUWMHTuW8vLY4g3PPPMMt912W6Lenj17GDp0aGK7tLQUgG7dunHVVVdRWFgYaOw501IQkdz07RfWsm73sbQec9zgHnzrM+Ob3L9mzRomT57c5P477riDBQsWMGDAAMLhMIMHD2b37t0APPDAA1x99dV8/OMf59Of/jSzZ8+mZ8+eaY2/OTnTUhARaS+mT5/Oq6++yoIFC7j99tsb7Js9ezbr16/n1ltv5Y033uBjH/sY1dWZ6/ZWS0FEOrXmvtEHZfz48SxevLjJ/fn5+UyePJkf/ehHrFu3jiVLljTYP3jwYO655x7uueceLr300hZbHumkloKISJpdffXVVFdXM2/evETZBx98wM6dZ5479uCDDzJ37lx69+7d4L0vv/wytbW1QGwG08GDBxkypMHzyQKlloKISJqZGc8++yz3338/c+fOpbCwkJKSEh577LFEnfHjxzeYdVRv2bJl3HfffYkB5R/84AcMHDgQgJKSEo4dO0ZNTQ3PPfccy5YtY9y4cWmNXUlBRCQAgwcPZuHChWeVp5pOOmvWLGbNmgXAo48+yqOPPprymNu2bUtniCmp+0hERBKUFEREJEFJQUREEpQUREQkQUlBREQSlBRERCRBSUFEJADpXjr71VdfZfLkyZSWljJ58mR++9vfBhK37lMQEUmzIJbO7tu3Ly+88AKDBw9mzZo1XHfddezatSvtsaulICKSZkEsnX355ZczePBgIHY39OnTpwNZKE8tBRHp3H7zZdi7Or3HHFgK1z/S5O6gl87+9a9/zaRJkygoKEjP9SRRS0FEJMPOZ+nstWvX8qUvfYmf//zngcSmloKIdG7NfKMPSlBLZ1dUVHDLLbfwy1/+kosuuiiQ2NVSEBFJsyCWzj5y5Ag33HADjzzyCFdeeWVgsSspiIikWf3S2a+99hoXXXQR48eP5ytf+UpiCWyItSbuvvvus967bNkyLr30UiZMmMB1112XWDr7Jz/5CZs3b+bhhx9m4sSJTJw4kf3796c/dveO9SD7srIyrx+1Pxe/ufZPqbKdLHnwMub3/SS8eD+MuApmvxRAlCKSTevXr2fs2LHZDiNrUl2/mb3n7mUtvTc3Wwqr4319pTOzG4eISDuTm0kBYq2EstnZjkJEpF0JNCmY2XQz22hmm83syyn2f9HM1pnZB2b2n2Y2Ish4RESkeYElBTMLA48D1wPjgDvNrPHDRFcCZe5+GbAY+D9BxSMiIi0LsqUwFdjs7lvcvQZYANycXMHdX3f3U/HNd4ChiIhI1gSZFIYAO5O2K+JlTfks8JtUO8zsXjMrN7PyysrKNIYoIiLJ2sVAs5n9BVAG/CDVfnef5+5l7l7Wr1+/zAYnItIG6V46+913303cnzBhwgSeffbZQOIOcpmLXcCwpO2h8bIGzOxa4GvAH7t7+pf8ExHJsCCWzr700kspLy+nS5cu7NmzhwkTJvCZz3yGLl3S+zEeZEthBXCJmY00s3zgDqDBAh9mdjnwc+Amd0//rXkiIlkQxNLZRUVFiQRQVVWFmQUSe2AtBXevM7M5wCtAGHjC3dea2cNAubsvIdZdVAwsil/gDne/KaiYRCT3zH13LhsObUjrMcf0HsOXpn6pyf1BLZ29fPly7rnnHrZv385TTz2V9lYCBDym4O5L3X2Uu1/k7v8QL/tmPCHg7te6+wB3nxj/UUIQkU6vrUtnX3HFFaxdu5YVK1bw/e9/n6qqqrTHljNLZ9dyhIidarmiiHQqzX2jD0pQS2fXGzt2LMXFxaxZs4ayshaXMzon7WL2USZE7DgAMy6ckeVIRKSzC2Lp7K1bt1JXVwfA9u3b2bBhAyUlJWmPPWeSAkDYi7h11K3ZDkNEOrkgls5+8803mTBhAhMnTuSWW27hpz/9KX379k1/7LmydPazfxJret3y6nsw/4ZYoZbNFumUtHS2ls4WEZE0UFIQEZEEJQUREUlQUhARkQQlBRERSVBSEBGRBCUFEZEApHvp7Ho7duyguLiYH/7wh4HEraQgIpJm9UtnT5s2jY8++oj33nuP73//+w2Wzq7X1NLZq1atYv369XzhC19ocOwvfvGLXH/99YHFrqQgIpJmQSydDfDcc88xcuTIBkkk3XJmQbyE8vmw/U0YcVW2IxGRDNj7ve9RvT69S2cXjB3DwK9+tcn9QSydfeLECebOncurr74aWNcR5FBLoYvXUuCn4cX7YwWlM7MbkIjkrLYsnf3QQw/xwAMPUFxcHGhsOdNSCFNHiGishVA6E8pmZzskEcmA5r7RByWIpbOXL1/O4sWL+fu//3uOHDlCKBSisLAwMUCdLjnTUgCIEootgqeEICIBCmLp7N///vds27aNbdu2cf/99/PVr3417QkBcqilICKSKfVLZ99///3MnTuXwsJCSkpKeOyxxxJ1xo8fn3LAeNmyZdx3330UFhYCJJbOzljsubJ09tJrxwEw47V16Q5JRNoZLZ2tpbNFRCQNlBRERCRBSUFERBKUFEREJEFJQUREEpQUREQkQUlBREQSlBRERCRBSUFEJM22bdvGmDFjmDVrFqNGjeKuu+7itdde48orr+SSSy7h3Xff5eTJk9xzzz1MnTqVyy+/nOeffz7x3k984hNMmjSJSZMm8Yc//AGAN954g2nTpjFz5kzGjBnDXXfdRRA3H2uZCxHp1H6/cBMHdp5I6zGljSi7AAAHz0lEQVT7DivmE7eNarbO5s2bWbRoEU888QRTpkzh6aef5s0332TJkiV873vfY9y4cVx99dU88cQTHDlyhKlTp3LttdfSv39/Xn31VQoLC/nwww+58847E89eWLlyJWvXrmXw4MFceeWVvPXWW1x1VXofA6CkICISgJEjRyYekDN+/HiuueYazIzS0lK2bdtGRUUFS5YsSTwboaqqih07djB48GDmzJnDqlWrCIfDbNq0KXHMqVOnJh7AM3HiRLZt29axkoKZTQf+CQgD/+bujzTaXwD8EpgMHARud/dtQcYkIrmlpW/0QSkoKEi8DoVCie1QKERdXR3hcJhf//rXjB49usH7HnroIQYMGMD7779PNBpNLIzX+JjhcJi6urq0xx3YmIKZhYHHgeuBccCdZjauUbXPAofd/WLgH4G5QcUjItKeXHfddfzzP/9zYlxg5cqVABw9epRBgwYRCoV46qmniEQiGY0ryIHmqcBmd9/i7jXAAuDmRnVuBn4Rf70YuMbMLMCYRETahW984xvU1tZy2WWXMX78eL7xjW8A8PnPf55f/OIXTJgwgQ0bNtCtW7eMxhXY0tlmNhOY7u5/Fd/+H8AV7j4nqc6aeJ2K+PZH8ToHmjquls4WkZZo6ey2L53dIQaazexe4F6A4cOHt+kYJ/pnNtuKiHREQSaFXcCwpO2h8bJUdSrMrAtwAbEB5wbcfR4wD2IthbYEc9vTK9ryNhGRnBLkmMIK4BIzG2lm+cAdwJJGdZYAd8dfzwR+6x3tUXAiIp1IYC0Fd68zsznAK8SmpD7h7mvN7GGg3N2XAP8OPGVmm4FDxBKHiMh5c3dycd7K+X6vDnRMwd2XAksblX0z6XUVcGuQMYhI7iksLOTgwYP06dMnpxKDu3Pw4MEG9zacqw4x0Cwici6GDh1KRUUFlZWV2Q4l4woLCxN3PbeFkoKIdDp5eXmMHDky22F0SFolVUREEpQUREQkQUlBREQSAlvmIihmVglsb+Pb+wJNLqHRSemac4OuOTeczzWPcPd+LVXqcEnhfJhZeWvW/uhMdM25QdecGzJxzeo+EhGRBCUFERFJyLWkMC/bAWSBrjk36JpzQ+DXnFNjCiIi0rxcaymIiEgzOmVSMLPpZrbRzDab2ZdT7C8ws2fi+5ebWUnmo0yvVlzzF81snZl9YGb/aWYjshFnOrV0zUn1/szM3Mw6/EyV1lyzmd0W/1uvNbOnMx1jurXi3/ZwM3vdzFbG/33PyEac6WJmT5jZ/viTKVPtNzP7cfy/xwdmNimtAbh7p/ohtkz3R8CFQD7wPjCuUZ3PAz+Lv74DeCbbcWfgmj8FFMVf/00uXHO8Xnfgd8A7QFm2487A3/kSYCXQK77dP9txZ+Ca5wF/E389DtiW7bjP85o/CUwC1jSxfwbwG8CAjwHL03n+zthSmApsdvct7l4DLABublTnZuAX8deLgWusY6+v2+I1u/vr7n4qvvkOsSfhdWSt+TsDfAeYC1RlMriAtOaa/xp43N0PA7j7/gzHmG6tuWYHesRfXwDszmB8aefuvyP2fJmm3Az80mPeAXqa2aB0nb8zJoUhwM6k7Yp4Wco67l4HHAX6ZCS6YLTmmpN9ltg3jY6sxWuON6uHuftLmQwsQK35O48CRpnZW2b2jplNz1h0wWjNNT8E/IWZVRB7fssXMhNa1pzr/+/nREtn5xgz+wugDPjjbMcSJDMLAY8Cs7IcSqZ1IdaFNI1Ya/B3Zlbq7keyGlWw7gSedPcfmdkfEXua46XuHs12YB1RZ2wp7AKGJW0PjZelrGNmXYg1OQ9mJLpgtOaaMbNrga8BN7l7dYZiC0pL19wduBR4w8y2Eet7XdLBB5tb83euAJa4e627bwU2EUsSHVVrrvmzwEIAd38bKCS2RlBn1ar/39uqMyaFFcAlZjbSzPKJDSQvaVRnCXB3/PVM4LceH8HpoFq8ZjO7HPg5sYTQ0fuZoYVrdvej7t7X3UvcvYTYOMpN7l6enXDTojX/tp8j1krAzPoS607akskg06w117wDuAbAzMYSSwqd+ZFrS4C/jM9C+hhw1N33pOvgna77yN3rzGwO8AqxmQtPuPtaM3sYKHf3JcC/E2tibiY2oHNH9iI+f6285h8AxcCi+Jj6Dne/KWtBn6dWXnOn0sprfgX4tJmtAyLA37l7h20Ft/KaHwT+1cweIDboPKsjf8kzs18RS+x94+Mk3wLyANz9Z8TGTWYAm4FTwOy0nr8D/7cTEZE064zdRyIi0kZKCiIikqCkICIiCUoKIiKSoKQgIiIJSgoirWRmETNblfRTYmbTzOxofHu9mX0rXje5fIOZ/TDb8Yu0Rqe7T0EkQKfdfWJyQXzZ9d+7+41m1g1YZWYvxHfXl3cFVprZs+7+VmZDFjk3aimIpIm7nwTeAy5uVH4aWEUaFy0TCYqSgkjrdU3qOnq28U4z60NsjaW1jcp7EVt/6HeZCVOk7dR9JNJ6Z3UfxX3CzFYCUeCR+DIM0+Ll7xNLCI+5+94MxirSJkoKIufv9+5+Y1PlZjYSeMfMFrr7qkwHJ3Iu1H0kErD4EtaPAF/KdiwiLVFSEMmMnwGfjM9WEmm3tEqqiIgkqKUgIiIJSgoiIpKgpCAiIglKCiIikqCkICIiCUoKIiKSoKQgIiIJSgoiIpLw/wGhNA+y0GbKSAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rocs = maui_model.compute_roc(y_cmsonly)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for k in rocs:\n",
    "    rocs[k].plot('FPR','TPR', ax=ax, label=k)\n",
    "plt.ylabel(\"TPR\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering\n",
    "\n",
    "While we think the CMS clusters are generally true, they are based on gene expression data only. We would like to use maui to find new clusters in the data, but with the starting point of the CMS.\n",
    "\n",
    "To that end, we can use k-means clustering, and pick the K that reaches a result that's the closest to the CMS, where by closest we mean has the most mutual information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jona/miniconda3/envs/maui/lib/python3.6/site-packages/sklearn/metrics/cluster/supervised.py:732: FutureWarning: The behavior of AMI will change in version 0.22. To match the behavior of 'v_measure_score', AMI will use average_method='arithmetic' by default.\n",
      "  FutureWarning)\n",
      "/home/jona/miniconda3/envs/maui/lib/python3.6/site-packages/numpy/core/fromnumeric.py:51: FutureWarning: 'argmax' is deprecated, use 'idxmax' instead. The behavior of 'argmax'\n",
      "will be corrected to return the positional maximum in the future.\n",
      "Use 'series.values.argmax' to get the position of the maximum now.\n",
      "  return getattr(obj, method)(*args, **kwds)\n"
     ]
    }
   ],
   "source": [
    "yhat = maui_model.cluster(ami_y = y_cmsonly)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives us the clusters (`yhat`) which are closest to the CMS, but we can also look at the adjusted mutual information (AMI) given by other values of K:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'AMI')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "maui_model.kmeans_scores.plot()\n",
    "plt.ylabel(\"AMI\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8c11bd1c88>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cmap_clusters = dict(zip(sorted(yhat.unique()), sns.color_palette()))\n",
    "ycols_clusters = [cmap_clusters[l] for l in yhat]\n",
    "\n",
    "legend_handles = [mlines.Line2D([], [], color=cmap_clusters[label], label=label, marker='o',\n",
    "                                markersize=10, linewidth=0) for label in cmap_clusters]\n",
    "\n",
    "pcs = pd.DataFrame(PCA(2).fit_transform(z), columns=['PC1', 'PC2'], index=z.index).loc[y_cmsonly.index]\n",
    "pcs.plot.scatter(x='PC1', y='PC2', c=ycols_clusters)\n",
    "plt.legend(handles=legend_handles)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### We can see how predictive these clusters are of patient survival"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.1, 0.1, 'log-rank p=0.865')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "surv_fns = maui.utils.estimate_kaplan_meier(yhat, survival)\n",
    "surv_fns.plot()\n",
    "test_stat, p_value = maui.utils.multivariate_logrank_test(yhat, survival)\n",
    "ax = plt.gca()\n",
    "ax.text(0.1, .1, f'log-rank p={p_value:.3f}', transform=ax.transAxes, va='top', fontsize=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the CMS labels are *not* predictive of survival in the TCGA data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.1, 0.1, 'log-rank p=0.819')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "surv_fns = maui.utils.estimate_kaplan_meier(y_cmsonly, survival)\n",
    "surv_fns.plot()\n",
    "test_stat, p_value = maui.utils.multivariate_logrank_test(y_cmsonly, survival)\n",
    "ax = plt.gca()\n",
    "ax.text(0.1, .1, f'log-rank p={p_value:.3f}', transform=ax.transAxes, va='top', fontsize=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Selecting latent factors which are most relevant for patient survival\n",
    "\n",
    "We have inferred many latent factors, most of which might not be predictive of survival on their own. We can filter them down to the ones that are, on their own, using Cox Proportional Hazards (CPH) regressions, while controlling for the covariates in `survival` (age, sex, tumor stage), and only picking the ones which have a statistically significant nonzero coefficient in the CPH regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "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",
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       "\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>LF8</th>\n",
       "      <th>LF11</th>\n",
       "      <th>LF18</th>\n",
       "      <th>LF24</th>\n",
       "      <th>LF27</th>\n",
       "      <th>LF60</th>\n",
       "      <th>LF68</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>TCGA-DM-A1D0</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>18.463791</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TCGA-4T-AA8H</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",
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       "    <tr>\n",
       "      <th>TCGA-G4-6322</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.116894</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.066319</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>TCGA-AA-A02E</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>25.126024</td>\n",
       "      <td>18.586637</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>29.732981</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TCGA-CA-5797</th>\n",
       "      <td>16.165916</td>\n",
       "      <td>19.266708</td>\n",
       "      <td>6.019174</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>14.510957</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    LF8       LF11       LF18       LF24       LF27  \\\n",
       "TCGA-DM-A1D0   0.000000   0.000000   0.000000   0.000000   0.000000   \n",
       "TCGA-4T-AA8H   0.000000   0.000000   0.000000   0.000000   0.000000   \n",
       "TCGA-G4-6322   0.000000   3.116894   0.000000   0.000000   5.066319   \n",
       "TCGA-AA-A02E   0.000000   0.000000  25.126024  18.586637   0.000000   \n",
       "TCGA-CA-5797  16.165916  19.266708   6.019174   0.000000  14.510957   \n",
       "\n",
       "                   LF60       LF68  \n",
       "TCGA-DM-A1D0   0.000000  18.463791  \n",
       "TCGA-4T-AA8H   0.000000   0.000000  \n",
       "TCGA-G4-6322   0.000000   0.000000  \n",
       "TCGA-AA-A02E  29.732981   0.000000  \n",
       "TCGA-CA-5797   0.000000   0.000000  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z_clinical = maui_model.select_clinical_factors(survival)\n",
    "z_clinical.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We might now focus on these latent factors for down-stream analysis, if patient stratification by survival groups is our main interest."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----------\n",
    "\n",
    "## Filtering and merging latent factors\n",
    "\n",
    "We recommend running maui with more latent factors than you think you need. This way you are sure to learn useful ones, and the bad ones can be filtered away.\n",
    "\n",
    "One way to do this is demonstrated above, using `select_clinical_factors` to trim the list of latent factors to those which are shows to predict patient survival. However, if we're dealing with non-patient data, or we don't have ground truth labels, we may want to drop latent factors based on statistical measures.\n",
    "\n",
    "Maui provides two ways of doing this:\n",
    "\n",
    "- Dropping latent factors which are unexplanatory (don't predict the input feature well in a linear model)\n",
    "- Merging latent factors which are similar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A heatmap shows that there is some co-linearity in the latent factor space:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.matrix.ClusterGrid at 0x7f8c11aaba20>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.clustermap(maui_model.z_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using built-in functionality, we can reduce it by merging latent factors:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "z_merged = maui_model.merge_similar_latent_factors(distance_threshold=.4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dendrogram shows ewhich latent factors have been merged, and the threshold level."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.matrix.ClusterGrid at 0x7f8bfb25d5f8>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.clustermap(z_merged)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(573, 54)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z_merged.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Even after merging, some latent factors might poorly explain the variance in the input features. We can drop those also"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(573, 40)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z_filtered = maui_model.drop_unexplanatory_factors()\n",
    "z_filtered.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.matrix.ClusterGrid at 0x7f8c11a168d0>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.clustermap(z_filtered)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also perform the same down-stream analysis using this reduced set of latent factors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8c11bed898>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cmap = dict(zip(sorted(y_cmsonly.unique()), sns.color_palette()))\n",
    "ycols = [cmap[l] for l in y_cmsonly]\n",
    "\n",
    "legend_handles = [mlines.Line2D([], [], color=cmap[label], label=label, marker='o',\n",
    "                                markersize=10, linewidth=0) for label in cmap]\n",
    "\n",
    "pcs = pd.DataFrame(PCA(2).fit_transform(z_filtered), columns=['PC1', 'PC2'], index=z.index).loc[y_cmsonly.index]\n",
    "pcs.plot.scatter(x='PC1', y='PC2', c=ycols)\n",
    "plt.legend(handles=legend_handles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'TPR')"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rocs = maui_model.compute_roc(y_cmsonly)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for k in rocs:\n",
    "    rocs[k].plot('FPR','TPR', ax=ax, label=k)\n",
    "plt.ylabel(\"TPR\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The system this was run on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'commit_hash': '59a7834d2',\n",
      " 'commit_source': 'installation',\n",
      " 'default_encoding': 'UTF-8',\n",
      " 'ipython_path': '/home/jona/miniconda3/envs/maui/lib/python3.6/site-packages/IPython',\n",
      " 'ipython_version': '7.1.1',\n",
      " 'os_name': 'posix',\n",
      " 'platform': 'Linux-4.15.0-47-generic-x86_64-with-debian-stretch-sid',\n",
      " 'sys_executable': '/home/jona/miniconda3/envs/maui/bin/python',\n",
      " 'sys_platform': 'linux',\n",
      " 'sys_version': '3.6.6 | packaged by conda-forge | (default, Oct 12 2018, '\n",
      "                '14:08:43) \\n'\n",
      "                '[GCC 4.8.2 20140120 (Red Hat 4.8.2-15)]'}\n"
     ]
    }
   ],
   "source": [
    "import IPython\n",
    "print(IPython.sys_info())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "absl-py==0.6.1\r\n",
      "alabaster==0.7.12\r\n",
      "argh==0.26.2\r\n",
      "astor==0.7.1\r\n",
      "atomicwrites==1.2.1\r\n",
      "attrs==18.2.0\r\n",
      "Babel==2.6.0\r\n",
      "backcall==0.1.0\r\n",
      "bleach==3.0.2\r\n",
      "certifi==2018.10.15\r\n",
      "chardet==3.0.4\r\n",
      "coverage==4.5.2\r\n",
      "cvxpy==1.0.10\r\n",
      "cycler==0.10.0\r\n",
      "decorator==4.3.0\r\n",
      "defusedxml==0.5.0\r\n",
      "dill==0.2.8.2\r\n",
      "docutils==0.14\r\n",
      "ecos==2.0.7.post1\r\n",
      "entrypoints==0.2.3\r\n",
      "fancyimpute==0.4.2\r\n",
      "fastcache==1.0.2\r\n",
      "future==0.17.1\r\n",
      "gast==0.2.0\r\n",
      "grpcio==1.16.0\r\n",
      "h5py==2.8.0\r\n",
      "idna==2.7\r\n",
      "imagesize==1.1.0\r\n",
      "ipykernel==5.1.0\r\n",
      "ipython==7.1.1\r\n",
      "ipython-genutils==0.2.0\r\n",
      "ipywidgets==7.4.2\r\n",
      "jedi==0.13.1\r\n",
      "Jinja2==2.10\r\n",
      "jsonschema==2.6.0\r\n",
      "jupyter==1.0.0\r\n",
      "jupyter-client==5.2.3\r\n",
      "jupyter-console==6.0.0\r\n",
      "jupyter-core==4.4.0\r\n",
      "jupyterlab==0.35.4\r\n",
      "jupyterlab-server==0.2.0\r\n",
      "Keras==2.2.4\r\n",
      "Keras-Applications==1.0.6\r\n",
      "Keras-Preprocessing==1.0.5\r\n",
      "kiwisolver==1.0.1\r\n",
      "knnimpute==0.1.0\r\n",
      "lifelines==0.14.6\r\n",
      "llvmlite==0.26.0\r\n",
      "Markdown==3.0.1\r\n",
      "MarkupSafe==1.1.0\r\n",
      "matplotlib==3.0.2\r\n",
      "maui==0.1\r\n",
      "-e git+git@github.com:BIMSBbioinfo/maui.git@3bba1c51c8f2d51b613535ebb33ca7a4a3efcd42#egg=maui_tools\r\n",
      "mistune==0.8.4\r\n",
      "more-itertools==4.3.0\r\n",
      "multiprocess==0.70.6.1\r\n",
      "nbconvert==5.4.0\r\n",
      "nbformat==4.4.0\r\n",
      "notebook==5.7.0\r\n",
      "np-utils==0.5.7.0\r\n",
      "numba==0.41.0\r\n",
      "numpy==1.15.4\r\n",
      "osqp==0.4.1\r\n",
      "packaging==18.0\r\n",
      "pandas==0.23.4\r\n",
      "pandocfilters==1.4.2\r\n",
      "parso==0.3.1\r\n",
      "pathtools==0.1.2\r\n",
      "pexpect==4.6.0\r\n",
      "pickleshare==0.7.5\r\n",
      "pkginfo==1.4.2\r\n",
      "pluggy==0.9.0\r\n",
      "prometheus-client==0.4.2\r\n",
      "prompt-toolkit==2.0.7\r\n",
      "protobuf==3.6.1\r\n",
      "ptyprocess==0.6.0\r\n",
      "py==1.7.0\r\n",
      "Pygments==2.2.0\r\n",
      "pyparsing==2.3.0\r\n",
      "pytest==4.4.0\r\n",
      "pytest-cov==2.6.1\r\n",
      "python-dateutil==2.7.5\r\n",
      "pytz==2018.7\r\n",
      "PyYAML==3.13\r\n",
      "pyzmq==17.1.2\r\n",
      "qtconsole==4.4.3\r\n",
      "readme-renderer==24.0\r\n",
      "requests==2.20.1\r\n",
      "requests-toolbelt==0.8.0\r\n",
      "scikit-learn==0.20.0\r\n",
      "scipy==1.1.0\r\n",
      "scs==2.0.2\r\n",
      "seaborn==0.9.0\r\n",
      "Send2Trash==1.5.0\r\n",
      "six==1.11.0\r\n",
      "snowballstemmer==1.2.1\r\n",
      "Sphinx==1.8.2\r\n",
      "Sphinx-PyPI-upload==0.2.1\r\n",
      "sphinxcontrib-websupport==1.1.0\r\n",
      "tensorboard==1.12.0\r\n",
      "tensorflow==1.12.0\r\n",
      "termcolor==1.1.0\r\n",
      "terminado==0.8.1\r\n",
      "testpath==0.4.2\r\n",
      "toolz==0.9.0\r\n",
      "tornado==5.1.1\r\n",
      "tqdm==4.28.1\r\n",
      "traitlets==4.3.2\r\n",
      "twine==1.12.1\r\n",
      "umap-learn==0.3.7\r\n",
      "urllib3==1.24.1\r\n",
      "watchdog==0.9.0\r\n",
      "wcwidth==0.1.7\r\n",
      "webencodings==0.5.1\r\n",
      "Werkzeug==0.14.1\r\n",
      "when-changed==0.3.0\r\n",
      "widgetsnbextension==3.4.2\r\n",
      "xlrd==1.1.0\r\n"
     ]
    }
   ],
   "source": [
    "!pip freeze"
   ]
  }
 ],
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