Cat Vs. Not Cat Image Classification (Multilayer NN).ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial we will try implement a model that from an input picture can predict if it is a cat image or not. This will be implemented using a multilayer neural network that we will train using a training dataset, afterwards we will evaluate how good this model does using a test dataset. \n",
    "\n",
    "Let's first explore the dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import sklearn\n",
    "from sklearn.neural_network import MLPClassifier\n",
    "import pandas as pd\n",
    "import h5py #read the h5 file "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['list_classes', 'train_set_x', 'train_set_y']\n",
      "(209, 64, 64, 3) (209,) (2,)\n"
     ]
    }
   ],
   "source": [
    "# Training dataset: \n",
    "input_file = \"C:/Users/YsfEss/Desktop/train_catvnoncat.h5\"\n",
    "with h5py.File(input_file,'r') as hdf:\n",
    "    ls=list(hdf.keys())\n",
    "    xl=hdf.get('train_set_x')\n",
    "    yl=hdf.get('train_set_y')\n",
    "    cl=hdf.get('list_classes')\n",
    "    imgs=np.array(xl)\n",
    "    labels=np.array(yl)\n",
    "    classes=np.array(cl)\n",
    "print(ls)\n",
    "print(imgs.shape,labels.shape,classes.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['list_classes', 'test_set_x', 'test_set_y']"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Test dataset:\n",
    "\n",
    "in_file= \"C:/Users/YsfEss/Desktop/test_catvnoncat.h5\"\n",
    "with h5py.File(in_file,'r') as hdf1:\n",
    "    ls1=list(hdf1.keys())\n",
    "    xl1=hdf1.get('test_set_x')\n",
    "    yl1=hdf1.get('test_set_y')\n",
    "    cl1=hdf1.get('list_classes')\n",
    "    imgs1=np.array(xl1)\n",
    "    labels1=np.array(yl1)\n",
    "ls1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see above, we have a 4 dimensional array; we have 209 image (training example) each is 64x64 pixel image with RBG coding (thus the 3). With a (209,1) vector for the labels of each training example (Cat, Non-Cat).\n",
    "\n",
    "We will now attempt to visualize some images from dataset.\n",
    "\n",
    "Feel free to change the index of the photo to see different kind of training examples and their respective labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b'cat'\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x24c6fe22278>"
      ]
     },
     "execution_count": 4,
     "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": [
    "index=2\n",
    "print(classes[labels[index]])\n",
    "plt.imshow(imgs[index])\n",
    "#print (\"y = \" + str(train_set_y[:, index]) + \", it's a '\" + classes[np.squeeze(train_set_y[:, index])].decode(\"utf-8\") +  \"' picture.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>12279</th>\n",
       "      <th>12280</th>\n",
       "      <th>12281</th>\n",
       "      <th>12282</th>\n",
       "      <th>12283</th>\n",
       "      <th>12284</th>\n",
       "      <th>12285</th>\n",
       "      <th>12286</th>\n",
       "      <th>12287</th>\n",
       "      <th>CLASS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.768627</td>\n",
       "      <td>0.752941</td>\n",
       "      <td>0.745098</td>\n",
       "      <td>0.756863</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.713725</td>\n",
       "      <td>0.737255</td>\n",
       "      <td>0.701961</td>\n",
       "      <td>0.682353</td>\n",
       "      <td>0.835294</td>\n",
       "      <td>...</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>...</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.611765</td>\n",
       "      <td>0.627451</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.580392</td>\n",
       "      <td>0.596078</td>\n",
       "      <td>0.541176</td>\n",
       "      <td>0.552941</td>\n",
       "      <td>0.556863</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>...</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.345098</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>...</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>...</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.156863</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.149020</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>...</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.152941</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>...</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.290196</td>\n",
       "      <td>...</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.160784</td>\n",
       "      <td>...</td>\n",
       "      <td>0.156863</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.149020</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.737255</td>\n",
       "      <td>0.705882</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.772549</td>\n",
       "      <td>0.552941</td>\n",
       "      <td>0.850980</td>\n",
       "      <td>0.807843</td>\n",
       "      <td>0.568627</td>\n",
       "      <td>0.843137</td>\n",
       "      <td>...</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.160784</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.192157</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>...</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.537255</td>\n",
       "      <td>0.568627</td>\n",
       "      <td>0.482353</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.576471</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.537255</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>...</td>\n",
       "      <td>0.337255</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.290196</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>...</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.960784</td>\n",
       "      <td>0.760784</td>\n",
       "      <td>0.678431</td>\n",
       "      <td>0.964706</td>\n",
       "      <td>0.737255</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>0.980392</td>\n",
       "      <td>0.756863</td>\n",
       "      <td>0.654902</td>\n",
       "      <td>0.984314</td>\n",
       "      <td>...</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.592157</td>\n",
       "      <td>0.682353</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.564706</td>\n",
       "      <td>0.658824</td>\n",
       "      <td>0.427451</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.650980</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>...</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.850980</td>\n",
       "      <td>0.854902</td>\n",
       "      <td>0.874510</td>\n",
       "      <td>0.862745</td>\n",
       "      <td>0.866667</td>\n",
       "      <td>0.886275</td>\n",
       "      <td>0.874510</td>\n",
       "      <td>0.878431</td>\n",
       "      <td>0.898039</td>\n",
       "      <td>0.886275</td>\n",
       "      <td>...</td>\n",
       "      <td>0.458824</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.423529</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.784314</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.462745</td>\n",
       "      <td>0.654902</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.286275</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>...</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.568627</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.537255</td>\n",
       "      <td>0.533333</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>...</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>...</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.458824</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.160784</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.290196</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.643137</td>\n",
       "      <td>0.698039</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.647059</td>\n",
       "      <td>0.701961</td>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.654902</td>\n",
       "      <td>0.705882</td>\n",
       "      <td>0.741176</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>...</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.443137</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.619608</td>\n",
       "      <td>0.501961</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.611765</td>\n",
       "      <td>0.756863</td>\n",
       "      <td>0.933333</td>\n",
       "      <td>0.619608</td>\n",
       "      <td>0.768627</td>\n",
       "      <td>0.941176</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>0.776471</td>\n",
       "      <td>0.952941</td>\n",
       "      <td>0.647059</td>\n",
       "      <td>...</td>\n",
       "      <td>0.827451</td>\n",
       "      <td>0.823529</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.807843</td>\n",
       "      <td>0.780392</td>\n",
       "      <td>0.764706</td>\n",
       "      <td>0.764706</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.494118</td>\n",
       "      <td>...</td>\n",
       "      <td>0.580392</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.501961</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>...</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>...</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.337255</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>...</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>0.690196</td>\n",
       "      <td>0.670588</td>\n",
       "      <td>0.611765</td>\n",
       "      <td>0.670588</td>\n",
       "      <td>0.650980</td>\n",
       "      <td>0.596078</td>\n",
       "      <td>0.647059</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>...</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.705882</td>\n",
       "      <td>0.709804</td>\n",
       "      <td>0.686275</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.725490</td>\n",
       "      <td>0.752941</td>\n",
       "      <td>0.756863</td>\n",
       "      <td>0.752941</td>\n",
       "      <td>0.772549</td>\n",
       "      <td>...</td>\n",
       "      <td>0.192157</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>179</th>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>...</td>\n",
       "      <td>0.705882</td>\n",
       "      <td>0.537255</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.756863</td>\n",
       "      <td>0.592157</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.698039</td>\n",
       "      <td>0.545098</td>\n",
       "      <td>0.376471</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>0.937255</td>\n",
       "      <td>0.949020</td>\n",
       "      <td>0.925490</td>\n",
       "      <td>0.568627</td>\n",
       "      <td>0.678431</td>\n",
       "      <td>0.482353</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.286275</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.376471</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.815686</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.917647</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.945098</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>182</th>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.290196</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>...</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.345098</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.356863</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>...</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.152941</td>\n",
       "      <td>0.458824</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.423529</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.533333</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>...</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.149020</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>0.698039</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>0.678431</td>\n",
       "      <td>0.458824</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>...</td>\n",
       "      <td>0.564706</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.545098</td>\n",
       "      <td>0.494118</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>186</th>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.149020</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.133333</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>...</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.427451</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.152941</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>187</th>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.164706</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.152941</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.152941</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.447059</td>\n",
       "      <td>0.670588</td>\n",
       "      <td>0.560784</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.709804</td>\n",
       "      <td>0.592157</td>\n",
       "      <td>0.388235</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>188</th>\n",
       "      <td>0.788235</td>\n",
       "      <td>0.788235</td>\n",
       "      <td>0.815686</td>\n",
       "      <td>0.807843</td>\n",
       "      <td>0.815686</td>\n",
       "      <td>0.854902</td>\n",
       "      <td>0.815686</td>\n",
       "      <td>0.827451</td>\n",
       "      <td>0.866667</td>\n",
       "      <td>0.803922</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>0.764706</td>\n",
       "      <td>0.705882</td>\n",
       "      <td>0.274510</td>\n",
       "      <td>0.745098</td>\n",
       "      <td>0.690196</td>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.776471</td>\n",
       "      <td>0.717647</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.796078</td>\n",
       "      <td>...</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.156863</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.164706</td>\n",
       "      <td>0.541176</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>190</th>\n",
       "      <td>0.564706</td>\n",
       "      <td>0.501961</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>0.670588</td>\n",
       "      <td>0.619608</td>\n",
       "      <td>0.396078</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.607843</td>\n",
       "      <td>...</td>\n",
       "      <td>0.886275</td>\n",
       "      <td>0.741176</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.901961</td>\n",
       "      <td>0.752941</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.925490</td>\n",
       "      <td>0.796078</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>191</th>\n",
       "      <td>0.984314</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.976471</td>\n",
       "      <td>0.988235</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.972549</td>\n",
       "      <td>0.988235</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.984314</td>\n",
       "      <td>...</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.403922</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192</th>\n",
       "      <td>0.509804</td>\n",
       "      <td>0.607843</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.513725</td>\n",
       "      <td>0.611765</td>\n",
       "      <td>0.823529</td>\n",
       "      <td>0.513725</td>\n",
       "      <td>0.615686</td>\n",
       "      <td>0.823529</td>\n",
       "      <td>0.513725</td>\n",
       "      <td>...</td>\n",
       "      <td>0.509804</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.792157</td>\n",
       "      <td>0.509804</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.792157</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.792157</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>193</th>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.741176</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.745098</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.749020</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>...</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.752941</td>\n",
       "      <td>0.988235</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.749020</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.749020</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>194</th>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>...</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.423529</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.149020</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>...</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.376471</td>\n",
       "      <td>0.388235</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.376471</td>\n",
       "      <td>0.388235</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>0.396078</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.607843</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.662745</td>\n",
       "      <td>0.537255</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.568627</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.556863</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.286275</td>\n",
       "      <td>0.501961</td>\n",
       "      <td>0.160784</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>0.592157</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>0.337255</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.274510</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>...</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.337255</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>...</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.482353</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.274510</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.160784</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.439216</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>...</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.494118</td>\n",
       "      <td>0.509804</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.619608</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.345098</td>\n",
       "      <td>0.588235</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.286275</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>...</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.611765</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>0.788235</td>\n",
       "      <td>0.627451</td>\n",
       "      <td>0.423529</td>\n",
       "      <td>0.803922</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>0.560784</td>\n",
       "      <td>0.388235</td>\n",
       "      <td>0.462745</td>\n",
       "      <td>0.584314</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.482353</td>\n",
       "      <td>0.607843</td>\n",
       "      <td>0.427451</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>0.784314</td>\n",
       "      <td>0.784314</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.780392</td>\n",
       "      <td>0.780392</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.745098</td>\n",
       "      <td>0.752941</td>\n",
       "      <td>0.780392</td>\n",
       "      <td>0.678431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.619608</td>\n",
       "      <td>0.780392</td>\n",
       "      <td>0.835294</td>\n",
       "      <td>0.682353</td>\n",
       "      <td>0.862745</td>\n",
       "      <td>0.921569</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.901961</td>\n",
       "      <td>0.952941</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>...</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>0.560784</td>\n",
       "      <td>0.607843</td>\n",
       "      <td>0.647059</td>\n",
       "      <td>0.721569</td>\n",
       "      <td>0.745098</td>\n",
       "      <td>0.776471</td>\n",
       "      <td>0.556863</td>\n",
       "      <td>0.584314</td>\n",
       "      <td>0.607843</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>...</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.588235</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.423529</td>\n",
       "      <td>0.592157</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.584314</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>207</th>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>...</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>208</th>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>209 rows × 12289 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            0         1         2         3         4         5         6  \\\n",
       "0    0.066667  0.121569  0.219608  0.086275  0.129412  0.231373  0.098039   \n",
       "1    0.768627  0.752941  0.745098  0.756863  0.729412  0.713725  0.737255   \n",
       "2    0.321569  0.278431  0.266667  0.349020  0.325490  0.325490  0.392157   \n",
       "3    0.003922  0.086275  0.007843  0.003922  0.054902  0.007843  0.003922   \n",
       "4    0.035294  0.035294  0.019608  0.039216  0.035294  0.023529  0.035294   \n",
       "5    0.329412  0.309804  0.196078  0.329412  0.309804  0.200000  0.301961   \n",
       "6    0.219608  0.223529  0.090196  0.203922  0.215686  0.074510  0.168627   \n",
       "7    0.074510  0.086275  0.007843  0.090196  0.101961  0.007843  0.105882   \n",
       "8    0.247059  0.266667  0.239216  0.250980  0.266667  0.235294  0.266667   \n",
       "9    0.090196  0.184314  0.043137  0.098039  0.196078  0.047059  0.117647   \n",
       "10   0.737255  0.705882  0.466667  0.811765  0.772549  0.552941  0.850980   \n",
       "11   0.015686  0.023529  0.011765  0.015686  0.015686  0.007843  0.019608   \n",
       "12   0.603922  0.600000  0.431373  0.490196  0.490196  0.352941  0.298039   \n",
       "13   0.066667  0.062745  0.109804  0.070588  0.074510  0.117647  0.070588   \n",
       "14   0.282353  0.294118  0.290196  0.270588  0.278431  0.270588  0.254902   \n",
       "15   0.960784  0.760784  0.678431  0.964706  0.737255  0.631373  0.980392   \n",
       "16   0.992157  0.996078  0.996078  1.000000  1.000000  1.000000  1.000000   \n",
       "17   0.850980  0.854902  0.874510  0.862745  0.866667  0.886275  0.874510   \n",
       "18   0.549020  0.784314  0.278431  0.462745  0.654902  0.270588  0.235294   \n",
       "19   0.007843  0.007843  0.007843  0.007843  0.007843  0.007843  0.007843   \n",
       "20   0.019608  0.090196  0.007843  0.003922  0.039216  0.003922  0.003922   \n",
       "21   0.066667  0.250980  0.003922  0.058824  0.235294  0.003922  0.070588   \n",
       "22   0.643137  0.698039  0.729412  0.647059  0.701961  0.733333  0.654902   \n",
       "23   0.611765  0.756863  0.933333  0.619608  0.768627  0.941176  0.631373   \n",
       "24   0.478431  0.407843  0.254902  0.486275  0.411765  0.258824  0.490196   \n",
       "25   0.058824  0.058824  0.019608  0.066667  0.066667  0.023529  0.066667   \n",
       "26   0.305882  0.454902  0.196078  0.321569  0.470588  0.207843  0.313725   \n",
       "27   0.141176  0.141176  0.101961  0.137255  0.137255  0.098039  0.113725   \n",
       "28   0.054902  0.098039  0.050980  0.058824  0.098039  0.054902  0.074510   \n",
       "29   0.705882  0.709804  0.686275  0.729412  0.733333  0.725490  0.752941   \n",
       "..        ...       ...       ...       ...       ...       ...       ...   \n",
       "179  0.411765  0.349020  0.227451  0.411765  0.341176  0.227451  0.411765   \n",
       "180  0.937255  0.949020  0.925490  0.568627  0.678431  0.482353  0.317647   \n",
       "181  0.003922  0.007843  0.007843  0.113725  0.145098  0.074510  0.325490   \n",
       "182  0.243137  0.321569  0.227451  0.290196  0.352941  0.278431  0.262745   \n",
       "183  0.262745  0.317647  0.258824  0.298039  0.329412  0.258824  0.301961   \n",
       "184  0.113725  0.423529  0.007843  0.098039  0.384314  0.007843  0.262745   \n",
       "185  0.698039  0.631373  0.678431  0.458824  0.384314  0.392157  0.360784   \n",
       "186  0.266667  0.149020  0.086275  0.400000  0.247059  0.133333  0.400000   \n",
       "187  0.215686  0.164706  0.098039  0.203922  0.152941  0.082353  0.196078   \n",
       "188  0.788235  0.788235  0.815686  0.807843  0.815686  0.854902  0.815686   \n",
       "189  0.764706  0.705882  0.274510  0.745098  0.690196  0.262745  0.776471   \n",
       "190  0.564706  0.501961  0.270588  0.670588  0.619608  0.396078  0.549020   \n",
       "191  0.984314  0.992157  1.000000  0.976471  0.988235  1.000000  0.972549   \n",
       "192  0.509804  0.607843  0.819608  0.513725  0.611765  0.823529  0.513725   \n",
       "193  0.262745  0.741176  0.996078  0.266667  0.745098  0.992157  0.266667   \n",
       "194  0.039216  0.121569  0.015686  0.047059  0.121569  0.043137  0.023529   \n",
       "195  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000   \n",
       "196  0.364706  0.364706  0.352941  0.372549  0.368627  0.360784  0.368627   \n",
       "197  0.396078  0.282353  0.168627  0.607843  0.517647  0.517647  0.662745   \n",
       "198  0.592157  0.400000  0.235294  0.435294  0.337255  0.211765  0.411765   \n",
       "199  0.113725  0.196078  0.113725  0.278431  0.352941  0.309804  0.337255   \n",
       "200  1.000000  1.000000  1.000000  1.000000  1.000000  1.000000  1.000000   \n",
       "201  0.168627  0.223529  0.105882  0.270588  0.329412  0.160784  0.380392   \n",
       "202  0.400000  0.619608  0.415686  0.345098  0.588235  0.400000  0.286275   \n",
       "203  0.364706  0.435294  0.560784  0.388235  0.462745  0.584314  0.407843   \n",
       "204  0.784314  0.784314  0.800000  0.780392  0.780392  0.800000  0.745098   \n",
       "205  0.035294  0.043137  0.050980  0.031373  0.047059  0.054902  0.031373   \n",
       "206  0.560784  0.607843  0.647059  0.721569  0.745098  0.776471  0.556863   \n",
       "207  0.086275  0.094118  0.090196  0.090196  0.098039  0.094118  0.094118   \n",
       "208  0.031373  0.109804  0.207843  0.054902  0.129412  0.227451  0.074510   \n",
       "\n",
       "            7         8         9  ...     12279     12280     12281  \\\n",
       "0    0.137255  0.243137  0.098039  ...  0.000000  0.000000  0.000000   \n",
       "1    0.701961  0.682353  0.835294  ...  0.325490  0.321569  0.317647   \n",
       "2    0.384314  0.407843  0.415686  ...  0.603922  0.611765  0.627451   \n",
       "3    0.050980  0.003922  0.015686  ...  0.113725  0.345098  0.196078   \n",
       "4    0.035294  0.023529  0.035294  ...  0.054902  0.082353  0.050980   \n",
       "5    0.282353  0.172549  0.321569  ...  0.254902  0.156863  0.090196   \n",
       "6    0.207843  0.066667  0.184314  ...  0.125490  0.152941  0.039216   \n",
       "7    0.113725  0.007843  0.117647  ...  0.086275  0.078431  0.031373   \n",
       "8    0.278431  0.227451  0.290196  ...  0.027451  0.035294  0.023529   \n",
       "9    0.207843  0.050980  0.160784  ...  0.156863  0.239216  0.058824   \n",
       "10   0.807843  0.568627  0.843137  ...  0.223529  0.160784  0.168627   \n",
       "11   0.019608  0.011765  0.039216  ...  0.474510  0.537255  0.568627   \n",
       "12   0.301961  0.223529  0.129412  ...  0.337255  0.333333  0.250980   \n",
       "13   0.074510  0.113725  0.078431  ...  0.231373  0.121569  0.200000   \n",
       "14   0.278431  0.294118  0.239216  ...  0.227451  0.211765  0.196078   \n",
       "15   0.756863  0.654902  0.984314  ...  0.486275  0.592157  0.682353   \n",
       "16   1.000000  1.000000  0.996078  ...  0.062745  0.074510  0.074510   \n",
       "17   0.878431  0.898039  0.886275  ...  0.458824  0.380392  0.254902   \n",
       "18   0.352941  0.286275  0.219608  ...  0.529412  0.568627  0.309804   \n",
       "19   0.007843  0.003922  0.007843  ...  0.098039  0.078431  0.039216   \n",
       "20   0.043137  0.003922  0.003922  ...  0.400000  0.474510  0.168627   \n",
       "21   0.219608  0.003922  0.078431  ...  0.070588  0.231373  0.047059   \n",
       "22   0.705882  0.741176  0.666667  ...  0.419608  0.352941  0.239216   \n",
       "23   0.776471  0.952941  0.647059  ...  0.827451  0.823529  0.819608   \n",
       "24   0.415686  0.266667  0.494118  ...  0.580392  0.466667  0.517647   \n",
       "25   0.066667  0.027451  0.043137  ...  0.007843  0.015686  0.007843   \n",
       "26   0.470588  0.203922  0.298039  ...  0.329412  0.341176  0.337255   \n",
       "27   0.109804  0.082353  0.121569  ...  0.631373  0.690196  0.670588   \n",
       "28   0.129412  0.090196  0.074510  ...  0.094118  0.129412  0.086275   \n",
       "29   0.756863  0.752941  0.772549  ...  0.192157  0.070588  0.098039   \n",
       "..        ...       ...       ...  ...       ...       ...       ...   \n",
       "179  0.341176  0.231373  0.411765  ...  0.705882  0.537255  0.372549   \n",
       "180  0.478431  0.109804  0.478431  ...  0.180392  0.341176  0.286275   \n",
       "181  0.333333  0.098039  0.376471  ...  1.000000  1.000000  0.815686   \n",
       "182  0.329412  0.219608  0.258824  ...  0.223529  0.360784  0.317647   \n",
       "183  0.333333  0.254902  0.321569  ...  0.407843  0.121569  0.152941   \n",
       "184  0.533333  0.023529  0.380392  ...  0.235294  0.305882  0.007843   \n",
       "185  0.294118  0.282353  0.317647  ...  0.564706  0.521569  0.450980   \n",
       "186  0.298039  0.078431  0.435294  ...  0.325490  0.435294  0.125490   \n",
       "187  0.152941  0.082353  0.200000  ...  0.800000  0.666667  0.447059   \n",
       "188  0.827451  0.866667  0.803922  ...  0.000000  0.000000  0.000000   \n",
       "189  0.717647  0.278431  0.796078  ...  0.490196  0.478431  0.156863   \n",
       "190  0.505882  0.317647  0.607843  ...  0.886275  0.741176  0.254902   \n",
       "191  0.988235  1.000000  0.984314  ...  0.600000  0.415686  0.250980   \n",
       "192  0.615686  0.823529  0.513725  ...  0.509804  0.603922  0.792157   \n",
       "193  0.749020  0.992157  0.270588  ...  0.266667  0.752941  0.988235   \n",
       "194  0.047059  0.011765  0.027451  ...  0.239216  0.423529  0.239216   \n",
       "195  0.000000  0.000000  0.000000  ...  0.000000  0.000000  0.000000   \n",
       "196  0.372549  0.364706  0.380392  ...  0.368627  0.376471  0.388235   \n",
       "197  0.537255  0.603922  0.600000  ...  0.309804  0.568627  0.145098   \n",
       "198  0.380392  0.274510  0.270588  ...  0.035294  0.047059  0.027451   \n",
       "199  0.415686  0.364706  0.184314  ...  0.078431  0.145098  0.070588   \n",
       "200  1.000000  1.000000  1.000000  ...  0.482353  0.329412  0.184314   \n",
       "201  0.439216  0.231373  0.372549  ...  0.600000  0.517647  0.505882   \n",
       "202  0.549020  0.313725  0.254902  ...  0.305882  0.611765  0.407843   \n",
       "203  0.482353  0.607843  0.427451  ...  0.000000  0.000000  0.000000   \n",
       "204  0.752941  0.780392  0.678431  ...  0.619608  0.780392  0.835294   \n",
       "205  0.043137  0.058824  0.035294  ...  0.023529  0.015686  0.000000   \n",
       "206  0.584314  0.607843  0.529412  ...  0.317647  0.415686  0.588235   \n",
       "207  0.101961  0.098039  0.094118  ...  0.015686  0.019608  0.000000   \n",
       "208  0.137255  0.239216  0.074510  ...  0.000000  0.000000  0.000000   \n",
       "\n",
       "        12282     12283     12284     12285     12286     12287  CLASS  \n",
       "0    0.000000  0.000000  0.000000  0.000000  0.000000  0.000000      0  \n",
       "1    0.329412  0.321569  0.321569  0.321569  0.313725  0.317647      0  \n",
       "2    0.572549  0.580392  0.596078  0.541176  0.552941  0.556863      1  \n",
       "3    0.054902  0.239216  0.101961  0.007843  0.231373  0.007843      0  \n",
       "4    0.039216  0.062745  0.039216  0.066667  0.121569  0.082353      0  \n",
       "5    0.227451  0.149020  0.086275  0.219608  0.137255  0.086275      0  \n",
       "6    0.101961  0.145098  0.035294  0.086275  0.145098  0.039216      0  \n",
       "7    0.035294  0.039216  0.015686  0.027451  0.031373  0.015686      1  \n",
       "8    0.027451  0.035294  0.023529  0.027451  0.035294  0.023529      0  \n",
       "9    0.149020  0.247059  0.050980  0.141176  0.250980  0.043137      0  \n",
       "10   0.227451  0.172549  0.180392  0.231373  0.168627  0.192157      0  \n",
       "11   0.482353  0.549020  0.576471  0.474510  0.537255  0.572549      1  \n",
       "12   0.321569  0.317647  0.235294  0.294118  0.294118  0.219608      0  \n",
       "13   0.215686  0.117647  0.200000  0.223529  0.117647  0.196078      1  \n",
       "14   0.239216  0.227451  0.203922  0.211765  0.200000  0.180392      1  \n",
       "15   0.450980  0.564706  0.658824  0.427451  0.549020  0.650980      0  \n",
       "16   0.062745  0.066667  0.074510  0.058824  0.062745  0.070588      0  \n",
       "17   0.419608  0.349020  0.239216  0.423529  0.352941  0.243137      0  \n",
       "18   0.537255  0.533333  0.349020  0.490196  0.450980  0.301961      0  \n",
       "19   0.086275  0.074510  0.035294  0.086275  0.074510  0.031373      1  \n",
       "20   0.364706  0.474510  0.137255  0.407843  0.458824  0.109804      0  \n",
       "21   0.160784  0.301961  0.109804  0.317647  0.290196  0.219608      0  \n",
       "22   0.549020  0.443137  0.294118  0.619608  0.501961  0.333333      0  \n",
       "23   0.819608  0.811765  0.807843  0.780392  0.764706  0.764706      0  \n",
       "24   0.529412  0.415686  0.454902  0.572549  0.486275  0.501961      1  \n",
       "25   0.003922  0.007843  0.003922  0.000000  0.000000  0.000000      1  \n",
       "26   0.309804  0.317647  0.313725  0.270588  0.282353  0.278431      0  \n",
       "27   0.611765  0.670588  0.650980  0.596078  0.647059  0.631373      1  \n",
       "28   0.235294  0.258824  0.239216  0.247059  0.262745  0.247059      0  \n",
       "29   0.231373  0.074510  0.094118  0.219608  0.074510  0.094118      1  \n",
       "..        ...       ...       ...       ...       ...       ...    ...  \n",
       "179  0.756863  0.592157  0.407843  0.698039  0.545098  0.376471      1  \n",
       "180  0.227451  0.384314  0.321569  0.219608  0.380392  0.301961      0  \n",
       "181  1.000000  1.000000  0.917647  1.000000  1.000000  0.945098      0  \n",
       "182  0.243137  0.368627  0.345098  0.211765  0.356863  0.321569      0  \n",
       "183  0.458824  0.184314  0.215686  0.407843  0.380392  0.333333      0  \n",
       "184  0.231373  0.200000  0.007843  0.203922  0.149020  0.007843      0  \n",
       "185  0.603922  0.545098  0.494118  0.549020  0.529412  0.454902      1  \n",
       "186  0.325490  0.427451  0.129412  0.333333  0.431373  0.152941      0  \n",
       "187  0.670588  0.560784  0.368627  0.709804  0.592157  0.388235      0  \n",
       "188  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000      1  \n",
       "189  0.505882  0.486275  0.164706  0.541176  0.521569  0.184314      0  \n",
       "190  0.901961  0.752941  0.235294  0.925490  0.796078  0.207843      0  \n",
       "191  0.572549  0.403922  0.227451  0.529412  0.392157  0.200000      0  \n",
       "192  0.509804  0.603922  0.792157  0.505882  0.603922  0.792157      1  \n",
       "193  0.266667  0.749020  0.992157  0.266667  0.749020  0.992157      0  \n",
       "194  0.176471  0.364706  0.200000  0.125490  0.309804  0.149020      0  \n",
       "195  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000      0  \n",
       "196  0.368627  0.376471  0.388235  0.325490  0.329412  0.349020      0  \n",
       "197  0.313725  0.556863  0.180392  0.286275  0.501961  0.160784      1  \n",
       "198  0.019608  0.031373  0.035294  0.027451  0.035294  0.039216      0  \n",
       "199  0.043137  0.094118  0.043137  0.054902  0.113725  0.054902      0  \n",
       "200  0.309804  0.203922  0.101961  0.274510  0.180392  0.086275      1  \n",
       "201  0.490196  0.494118  0.509804  0.278431  0.392157  0.470588      0  \n",
       "202  0.435294  0.788235  0.627451  0.423529  0.803922  0.631373      0  \n",
       "203  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000      0  \n",
       "204  0.682353  0.862745  0.921569  0.729412  0.901961  0.952941      0  \n",
       "205  0.019608  0.015686  0.000000  0.019608  0.015686  0.000000      0  \n",
       "206  0.333333  0.423529  0.592157  0.333333  0.419608  0.584314      0  \n",
       "207  0.015686  0.019608  0.000000  0.015686  0.019608  0.000000      0  \n",
       "208  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000      0  \n",
       "\n",
       "[209 rows x 12289 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n=imgs.shape[0] #Number of observations\n",
    "p=imgs.shape[1]*imgs.shape[2]*imgs.shape[3] #Number of attributes\n",
    "data=imgs.reshape(n,p)\n",
    "dataF=pd.DataFrame(data=data)\n",
    "dataF=dataF.applymap(lambda x: x/255)\n",
    "labels=pd.DataFrame(data=labels,columns=['CLASS'])\n",
    "dataF=pd.concat([dataF,labels],axis=1)\n",
    "dataF\n",
    "# The following dataframe represents the RBG coding of each image in the data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
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       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
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       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>12279</th>\n",
       "      <th>12280</th>\n",
       "      <th>12281</th>\n",
       "      <th>12282</th>\n",
       "      <th>12283</th>\n",
       "      <th>12284</th>\n",
       "      <th>12285</th>\n",
       "      <th>12286</th>\n",
       "      <th>12287</th>\n",
       "      <th>CLASS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.619608</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.635294</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.639216</td>\n",
       "      <td>...</td>\n",
       "      <td>0.647059</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.662745</td>\n",
       "      <td>0.494118</td>\n",
       "      <td>0.427451</td>\n",
       "      <td>0.678431</td>\n",
       "      <td>0.501961</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>0.537255</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.607843</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.568627</td>\n",
       "      <td>0.623529</td>\n",
       "      <td>...</td>\n",
       "      <td>0.831373</td>\n",
       "      <td>0.843137</td>\n",
       "      <td>0.862745</td>\n",
       "      <td>0.752941</td>\n",
       "      <td>0.768627</td>\n",
       "      <td>0.796078</td>\n",
       "      <td>0.670588</td>\n",
       "      <td>0.690196</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.576471</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.556863</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.462745</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.396078</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.996078</td>\n",
       "      <td>0.996078</td>\n",
       "      <td>0.952941</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.964706</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.498039</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.156863</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.149020</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.376471</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.290196</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.396078</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>...</td>\n",
       "      <td>0.615686</td>\n",
       "      <td>0.564706</td>\n",
       "      <td>0.564706</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.552941</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.133333</td>\n",
       "      <td>0.133333</td>\n",
       "      <td>...</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.274510</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.286275</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.937255</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.941176</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.945098</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.945098</td>\n",
       "      <td>...</td>\n",
       "      <td>0.584314</td>\n",
       "      <td>0.560784</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.992157</td>\n",
       "      <td>0.988235</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.925490</td>\n",
       "      <td>0.949020</td>\n",
       "      <td>0.866667</td>\n",
       "      <td>0.945098</td>\n",
       "      <td>0.968627</td>\n",
       "      <td>0.874510</td>\n",
       "      <td>0.968627</td>\n",
       "      <td>0.980392</td>\n",
       "      <td>0.925490</td>\n",
       "      <td>0.843137</td>\n",
       "      <td>...</td>\n",
       "      <td>0.133333</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.286275</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.270588</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.403922</td>\n",
       "      <td>0.388235</td>\n",
       "      <td>0.227451</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.847059</td>\n",
       "      <td>0.854902</td>\n",
       "      <td>0.901961</td>\n",
       "      <td>0.835294</td>\n",
       "      <td>0.847059</td>\n",
       "      <td>0.901961</td>\n",
       "      <td>0.847059</td>\n",
       "      <td>0.847059</td>\n",
       "      <td>0.890196</td>\n",
       "      <td>...</td>\n",
       "      <td>0.525490</td>\n",
       "      <td>0.533333</td>\n",
       "      <td>0.513725</td>\n",
       "      <td>0.501961</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.482353</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.462745</td>\n",
       "      <td>0.443137</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.133333</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>...</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.101961</td>\n",
       "      <td>...</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.917647</td>\n",
       "      <td>0.917647</td>\n",
       "      <td>0.917647</td>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.901961</td>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.909804</td>\n",
       "      <td>0.909804</td>\n",
       "      <td>0.913725</td>\n",
       "      <td>0.901961</td>\n",
       "      <td>...</td>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.913725</td>\n",
       "      <td>0.901961</td>\n",
       "      <td>0.898039</td>\n",
       "      <td>0.909804</td>\n",
       "      <td>0.886275</td>\n",
       "      <td>0.878431</td>\n",
       "      <td>0.890196</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.525490</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>...</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.015686</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.160784</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.890196</td>\n",
       "      <td>0.917647</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.701961</td>\n",
       "      <td>0.654902</td>\n",
       "      <td>0.549020</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>...</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.345098</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.109804</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.094118</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>...</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.192157</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.533333</td>\n",
       "      <td>0.505882</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.552941</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.427451</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.545098</td>\n",
       "      <td>...</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.462745</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.443137</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.717647</td>\n",
       "      <td>0.458824</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.725490</td>\n",
       "      <td>0.458824</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.717647</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>...</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.274510</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.639216</td>\n",
       "      <td>0.388235</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.615686</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.635294</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>...</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.635294</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.776471</td>\n",
       "      <td>0.615686</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.745098</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.568627</td>\n",
       "      <td>0.670588</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.654902</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.639216</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.839216</td>\n",
       "      <td>0.784314</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>...</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>0.156863</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.007843</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.011765</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>...</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.647059</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.611765</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.580392</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>...</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.545098</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.188235</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.239216</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.192157</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.509804</td>\n",
       "      <td>...</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.152941</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.156863</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.509804</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.709804</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.149020</td>\n",
       "      <td>0.866667</td>\n",
       "      <td>...</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.337255</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.968627</td>\n",
       "      <td>0.803922</td>\n",
       "      <td>0.580392</td>\n",
       "      <td>0.972549</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.584314</td>\n",
       "      <td>0.976471</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.580392</td>\n",
       "      <td>0.956863</td>\n",
       "      <td>...</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.278431</td>\n",
       "      <td>0.160784</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.388235</td>\n",
       "      <td>0.290196</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>...</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.513725</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.231373</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.447059</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.552941</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>0.580392</td>\n",
       "      <td>...</td>\n",
       "      <td>0.274510</td>\n",
       "      <td>0.254902</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.164706</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.090196</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.905882</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.905882</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.207843</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>...</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>0.023529</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.039216</td>\n",
       "      <td>...</td>\n",
       "      <td>0.717647</td>\n",
       "      <td>0.721569</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.705882</td>\n",
       "      <td>0.713725</td>\n",
       "      <td>0.709804</td>\n",
       "      <td>0.705882</td>\n",
       "      <td>0.709804</td>\n",
       "      <td>0.709804</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>0.717647</td>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.725490</td>\n",
       "      <td>0.717647</td>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.721569</td>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.737255</td>\n",
       "      <td>...</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.815686</td>\n",
       "      <td>0.823529</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.843137</td>\n",
       "      <td>0.827451</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0.894118</td>\n",
       "      <td>0.917647</td>\n",
       "      <td>0.988235</td>\n",
       "      <td>0.894118</td>\n",
       "      <td>0.917647</td>\n",
       "      <td>0.988235</td>\n",
       "      <td>0.898039</td>\n",
       "      <td>0.917647</td>\n",
       "      <td>0.988235</td>\n",
       "      <td>0.878431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.611765</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.627451</td>\n",
       "      <td>0.662745</td>\n",
       "      <td>0.650980</td>\n",
       "      <td>0.694118</td>\n",
       "      <td>0.588235</td>\n",
       "      <td>0.592157</td>\n",
       "      <td>0.635294</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>0.345098</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.164706</td>\n",
       "      <td>0.180392</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.650980</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.643137</td>\n",
       "      <td>0.639216</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.376471</td>\n",
       "      <td>...</td>\n",
       "      <td>0.431373</td>\n",
       "      <td>0.513725</td>\n",
       "      <td>0.450980</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.525490</td>\n",
       "      <td>0.482353</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.458824</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>0.337255</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.309804</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.317647</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>...</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.372549</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.427451</td>\n",
       "      <td>0.345098</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.419608</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.756863</td>\n",
       "      <td>0.796078</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.827451</td>\n",
       "      <td>0.850980</td>\n",
       "      <td>0.670588</td>\n",
       "      <td>0.729412</td>\n",
       "      <td>0.780392</td>\n",
       "      <td>0.619608</td>\n",
       "      <td>...</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>0.035294</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.027451</td>\n",
       "      <td>...</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>0.749020</td>\n",
       "      <td>0.478431</td>\n",
       "      <td>0.192157</td>\n",
       "      <td>0.811765</td>\n",
       "      <td>0.525490</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.803922</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.215686</td>\n",
       "      <td>0.756863</td>\n",
       "      <td>...</td>\n",
       "      <td>0.376471</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.290196</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>0.337255</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>0.650980</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.443137</td>\n",
       "      <td>0.662745</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.650980</td>\n",
       "      <td>0.168627</td>\n",
       "      <td>...</td>\n",
       "      <td>0.258824</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.619608</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.380392</td>\n",
       "      <td>0.623529</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.392157</td>\n",
       "      <td>0.639216</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>0.352941</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.325490</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.341176</td>\n",
       "      <td>0.298039</td>\n",
       "      <td>0.321569</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>...</td>\n",
       "      <td>0.545098</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.482353</td>\n",
       "      <td>0.556863</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.560784</td>\n",
       "      <td>0.529412</td>\n",
       "      <td>0.494118</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.145098</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>...</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.219608</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.078431</td>\n",
       "      <td>0.247059</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.125490</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.117647</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.105882</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.113725</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>...</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.082353</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.043137</td>\n",
       "      <td>0.054902</td>\n",
       "      <td>0.074510</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.250980</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.243137</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.262745</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>...</td>\n",
       "      <td>0.835294</td>\n",
       "      <td>0.854902</td>\n",
       "      <td>0.886275</td>\n",
       "      <td>0.827451</td>\n",
       "      <td>0.843137</td>\n",
       "      <td>0.878431</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.819608</td>\n",
       "      <td>0.858824</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>0.580392</td>\n",
       "      <td>0.588235</td>\n",
       "      <td>0.635294</td>\n",
       "      <td>0.572549</td>\n",
       "      <td>0.588235</td>\n",
       "      <td>0.631373</td>\n",
       "      <td>0.474510</td>\n",
       "      <td>0.490196</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>...</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.360784</td>\n",
       "      <td>0.368627</td>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.301961</td>\n",
       "      <td>0.462745</td>\n",
       "      <td>0.188235</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>0.160784</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.329412</td>\n",
       "      <td>0.282353</td>\n",
       "      <td>0.305882</td>\n",
       "      <td>0.439216</td>\n",
       "      <td>0.403922</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.486275</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>...</td>\n",
       "      <td>0.603922</td>\n",
       "      <td>0.435294</td>\n",
       "      <td>0.364706</td>\n",
       "      <td>0.690196</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.407843</td>\n",
       "      <td>0.717647</td>\n",
       "      <td>0.552941</td>\n",
       "      <td>0.454902</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.062745</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.141176</td>\n",
       "      <td>0.121569</td>\n",
       "      <td>0.211765</td>\n",
       "      <td>0.223529</td>\n",
       "      <td>0.203922</td>\n",
       "      <td>0.313725</td>\n",
       "      <td>...</td>\n",
       "      <td>0.188235</td>\n",
       "      <td>0.196078</td>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.403922</td>\n",
       "      <td>0.403922</td>\n",
       "      <td>0.349020</td>\n",
       "      <td>0.564706</td>\n",
       "      <td>0.537255</td>\n",
       "      <td>0.423529</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>0.521569</td>\n",
       "      <td>0.639216</td>\n",
       "      <td>0.294118</td>\n",
       "      <td>0.384314</td>\n",
       "      <td>0.470588</td>\n",
       "      <td>0.172549</td>\n",
       "      <td>0.423529</td>\n",
       "      <td>0.517647</td>\n",
       "      <td>0.184314</td>\n",
       "      <td>0.462745</td>\n",
       "      <td>...</td>\n",
       "      <td>0.031373</td>\n",
       "      <td>0.129412</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>0.050980</td>\n",
       "      <td>0.137255</td>\n",
       "      <td>0.070588</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0.086275</td>\n",
       "      <td>0.019608</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>50 rows × 12289 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0         1         2         3         4         5         6  \\\n",
       "0   0.619608  0.407843  0.325490  0.631373  0.415686  0.333333  0.635294   \n",
       "1   0.450980  0.431373  0.435294  0.537255  0.505882  0.505882  0.607843   \n",
       "2   1.000000  0.992157  0.996078  1.000000  0.992157  0.996078  1.000000   \n",
       "3   0.996078  0.996078  0.952941  1.000000  1.000000  0.964706  1.000000   \n",
       "4   0.376471  0.282353  0.243137  0.384314  0.290196  0.247059  0.396078   \n",
       "5   0.101961  0.207843  0.117647  0.113725  0.227451  0.125490  0.125490   \n",
       "6   0.937255  1.000000  1.000000  0.941176  1.000000  1.000000  0.945098   \n",
       "7   0.925490  0.949020  0.866667  0.945098  0.968627  0.874510  0.968627   \n",
       "8   0.074510  0.094118  0.109804  0.074510  0.094118  0.109804  0.078431   \n",
       "9   0.905882  0.847059  0.854902  0.901961  0.835294  0.847059  0.901961   \n",
       "10  0.141176  0.141176  0.101961  0.137255  0.137255  0.105882  0.137255   \n",
       "11  1.000000  1.000000  1.000000  1.000000  1.000000  1.000000  1.000000   \n",
       "12  0.066667  0.070588  0.047059  0.070588  0.074510  0.050980  0.078431   \n",
       "13  0.917647  0.917647  0.917647  0.905882  0.901961  0.905882  0.909804   \n",
       "14  0.360784  0.525490  0.231373  0.117647  0.258824  0.113725  0.070588   \n",
       "15  0.890196  0.917647  0.819608  0.701961  0.654902  0.549020  0.450980   \n",
       "16  0.078431  0.203922  0.109804  0.082353  0.207843  0.121569  0.094118   \n",
       "17  0.533333  0.505882  0.411765  0.552941  0.529412  0.427451  0.521569   \n",
       "18  0.717647  0.458824  0.184314  0.725490  0.458824  0.176471  0.717647   \n",
       "19  0.639216  0.388235  0.039216  0.615686  0.372549  0.047059  0.635294   \n",
       "20  0.568627  0.670588  0.521569  0.654902  0.729412  0.639216  0.811765   \n",
       "21  0.047059  0.078431  0.007843  0.035294  0.066667  0.011765  0.050980   \n",
       "22  0.250980  0.647059  0.282353  0.243137  0.611765  0.313725  0.247059   \n",
       "23  1.000000  1.000000  1.000000  1.000000  1.000000  1.000000  1.000000   \n",
       "24  0.278431  0.282353  0.219608  0.239216  0.247059  0.192157  0.368627   \n",
       "25  0.819608  0.521569  0.207843  0.811765  0.509804  0.200000  0.709804   \n",
       "26  0.968627  0.803922  0.580392  0.972549  0.811765  0.584314  0.976471   \n",
       "27  0.172549  0.278431  0.160784  0.305882  0.388235  0.290196  0.407843   \n",
       "28  0.474510  0.447059  0.360784  0.517647  0.490196  0.392157  0.552941   \n",
       "29  0.905882  0.090196  0.003922  0.905882  0.105882  0.003922  0.905882   \n",
       "30  0.047059  0.047059  0.047059  0.070588  0.070588  0.070588  0.078431   \n",
       "31  0.247059  0.141176  0.062745  0.313725  0.207843  0.098039  0.360784   \n",
       "32  0.039216  0.031373  0.035294  0.039216  0.031373  0.035294  0.035294   \n",
       "33  0.717647  0.733333  0.725490  0.717647  0.733333  0.729412  0.721569   \n",
       "34  0.894118  0.917647  0.988235  0.894118  0.917647  0.988235  0.898039   \n",
       "35  0.345098  0.392157  0.450980  0.368627  0.407843  0.466667  0.384314   \n",
       "36  0.431373  0.431373  0.360784  0.650980  0.603922  0.478431  0.643137   \n",
       "37  0.337255  0.321569  0.309804  0.341176  0.325490  0.313725  0.349020   \n",
       "38  0.733333  0.756863  0.796078  0.811765  0.827451  0.850980  0.670588   \n",
       "39  0.027451  0.054902  0.027451  0.031373  0.050980  0.027451  0.035294   \n",
       "40  0.749020  0.478431  0.192157  0.811765  0.525490  0.223529  0.803922   \n",
       "41  0.337255  0.435294  0.650980  0.341176  0.443137  0.662745  0.298039   \n",
       "42  0.352941  0.305882  0.325490  0.349020  0.305882  0.329412  0.341176   \n",
       "43  0.082353  0.141176  0.082353  0.082353  0.141176  0.086275  0.078431   \n",
       "44  0.113725  0.125490  0.098039  0.117647  0.137255  0.105882  0.121569   \n",
       "45  0.172549  0.184314  0.172549  0.250980  0.282353  0.243137  0.235294   \n",
       "46  0.580392  0.588235  0.635294  0.572549  0.588235  0.631373  0.474510   \n",
       "47  0.160784  0.184314  0.329412  0.282353  0.305882  0.439216  0.403922   \n",
       "48  0.070588  0.070588  0.062745  0.137255  0.141176  0.121569  0.211765   \n",
       "49  0.521569  0.639216  0.294118  0.384314  0.470588  0.172549  0.423529   \n",
       "\n",
       "           7         8         9  ...     12279     12280     12281     12282  \\\n",
       "0   0.419608  0.329412  0.639216  ...  0.647059  0.478431  0.411765  0.662745   \n",
       "1   0.572549  0.568627  0.623529  ...  0.831373  0.843137  0.862745  0.752941   \n",
       "2   0.992157  0.996078  1.000000  ...  0.576471  0.470588  0.490196  0.556863   \n",
       "3   1.000000  0.992157  1.000000  ...  0.498039  0.317647  0.156863  0.470588   \n",
       "4   0.301961  0.258824  0.411765  ...  0.615686  0.564706  0.564706  0.600000   \n",
       "5   0.239216  0.133333  0.133333  ...  0.278431  0.392157  0.274510  0.254902   \n",
       "6   1.000000  1.000000  0.945098  ...  0.584314  0.560784  0.517647  0.992157   \n",
       "7   0.980392  0.925490  0.843137  ...  0.133333  0.298039  0.466667  0.125490   \n",
       "8   0.098039  0.113725  0.078431  ...  0.380392  0.407843  0.454902  0.415686   \n",
       "9   0.847059  0.847059  0.890196  ...  0.525490  0.533333  0.513725  0.501961   \n",
       "10  0.133333  0.101961  0.129412  ...  0.011765  0.019608  0.000000  0.015686   \n",
       "11  1.000000  1.000000  1.000000  ...  0.400000  0.254902  0.129412  0.380392   \n",
       "12  0.082353  0.058824  0.101961  ...  0.011765  0.015686  0.003922  0.011765   \n",
       "13  0.909804  0.913725  0.901961  ...  0.905882  0.905882  0.913725  0.901961   \n",
       "14  0.180392  0.043137  0.082353  ...  0.070588  0.172549  0.015686  0.105882   \n",
       "15  0.305882  0.113725  0.341176  ...  0.372549  0.345098  0.243137  0.372549   \n",
       "16  0.215686  0.129412  0.082353  ...  0.294118  0.333333  0.192157  0.325490   \n",
       "17  0.486275  0.419608  0.545098  ...  0.298039  0.317647  0.462745  0.317647   \n",
       "18  0.450980  0.168627  0.729412  ...  0.600000  0.384314  0.184314  0.419608   \n",
       "19  0.392157  0.066667  0.666667  ...  0.800000  0.635294  0.309804  0.776471   \n",
       "20  0.839216  0.784314  0.729412  ...  0.196078  0.168627  0.156863  0.176471   \n",
       "21  0.078431  0.027451  0.054902  ...  0.039216  0.050980  0.043137  0.039216   \n",
       "22  0.580392  0.258824  0.243137  ...  0.211765  0.545098  0.129412  0.188235   \n",
       "23  1.000000  1.000000  1.000000  ...  0.349020  0.349020  0.349020  0.329412   \n",
       "24  0.372549  0.349020  0.509804  ...  0.247059  0.145098  0.070588  0.254902   \n",
       "25  0.419608  0.149020  0.866667  ...  0.400000  0.352941  0.372549  0.380392   \n",
       "26  0.819608  0.580392  0.956863  ...  0.470588  0.294118  0.113725  0.454902   \n",
       "27  0.490196  0.400000  0.490196  ...  0.454902  0.572549  0.364706  0.384314   \n",
       "28  0.529412  0.419608  0.580392  ...  0.274510  0.254902  0.223529  0.250980   \n",
       "29  0.117647  0.000000  0.905882  ...  0.000000  0.000000  0.000000  0.000000   \n",
       "30  0.078431  0.078431  0.078431  ...  0.215686  0.215686  0.215686  0.211765   \n",
       "31  0.262745  0.141176  0.360784  ...  0.129412  0.035294  0.023529  0.121569   \n",
       "32  0.027451  0.031373  0.039216  ...  0.717647  0.721569  0.729412  0.705882   \n",
       "33  0.733333  0.729412  0.737255  ...  0.811765  0.819608  0.800000  0.815686   \n",
       "34  0.917647  0.988235  0.878431  ...  0.611765  0.600000  0.627451  0.662745   \n",
       "35  0.431373  0.490196  0.400000  ...  0.180392  0.200000  0.223529  0.141176   \n",
       "36  0.639216  0.486275  0.376471  ...  0.431373  0.513725  0.450980  0.415686   \n",
       "37  0.333333  0.317647  0.352941  ...  0.349020  0.372549  0.411765  0.352941   \n",
       "38  0.729412  0.780392  0.619608  ...  0.470588  0.454902  0.454902  0.474510   \n",
       "39  0.054902  0.031373  0.027451  ...  0.074510  0.137255  0.070588  0.070588   \n",
       "40  0.517647  0.215686  0.756863  ...  0.376471  0.321569  0.360784  0.364706   \n",
       "41  0.392157  0.650980  0.168627  ...  0.258824  0.333333  0.619608  0.298039   \n",
       "42  0.298039  0.321569  0.333333  ...  0.545098  0.521569  0.482353  0.556863   \n",
       "43  0.145098  0.082353  0.078431  ...  0.062745  0.200000  0.054902  0.062745   \n",
       "44  0.137255  0.113725  0.121569  ...  0.047059  0.058824  0.082353  0.047059   \n",
       "45  0.262745  0.223529  0.196078  ...  0.835294  0.854902  0.886275  0.827451   \n",
       "46  0.490196  0.517647  0.364706  ...  0.454902  0.603922  0.360784  0.368627   \n",
       "47  0.400000  0.486275  0.466667  ...  0.603922  0.435294  0.364706  0.690196   \n",
       "48  0.223529  0.203922  0.313725  ...  0.188235  0.196078  0.172549  0.403922   \n",
       "49  0.517647  0.184314  0.462745  ...  0.031373  0.129412  0.047059  0.050980   \n",
       "\n",
       "       12283     12284     12285     12286     12287  CLASS  \n",
       "0   0.494118  0.427451  0.678431  0.501961  0.431373      1  \n",
       "1   0.768627  0.796078  0.670588  0.690196  0.729412      1  \n",
       "2   0.431373  0.462745  0.521569  0.396078  0.474510      1  \n",
       "3   0.301961  0.149020  0.505882  0.329412  0.168627      1  \n",
       "4   0.549020  0.552941  0.572549  0.517647  0.517647      1  \n",
       "5   0.368627  0.258824  0.196078  0.286275  0.200000      0  \n",
       "6   0.992157  0.988235  1.000000  1.000000  1.000000      1  \n",
       "7   0.286275  0.454902  0.109804  0.270588  0.450980      1  \n",
       "8   0.403922  0.388235  0.227451  0.239216  0.223529      1  \n",
       "9   0.505882  0.482353  0.466667  0.462745  0.443137      1  \n",
       "10  0.019608  0.000000  0.019608  0.023529  0.003922      1  \n",
       "11  0.243137  0.125490  0.298039  0.184314  0.094118      1  \n",
       "12  0.011765  0.003922  0.007843  0.007843  0.000000      1  \n",
       "13  0.898039  0.909804  0.886275  0.878431  0.890196      0  \n",
       "14  0.211765  0.023529  0.160784  0.231373  0.027451      0  \n",
       "15  0.341176  0.250980  0.262745  0.215686  0.105882      1  \n",
       "16  0.368627  0.219608  0.278431  0.309804  0.184314      0  \n",
       "17  0.305882  0.443137  0.294118  0.317647  0.474510      1  \n",
       "18  0.274510  0.137255  0.117647  0.078431  0.050980      1  \n",
       "19  0.615686  0.301961  0.745098  0.572549  0.266667      1  \n",
       "20  0.145098  0.137255  0.176471  0.141176  0.137255      1  \n",
       "21  0.047059  0.027451  0.035294  0.043137  0.019608      0  \n",
       "22  0.486275  0.066667  0.062745  0.278431  0.043137      0  \n",
       "23  0.329412  0.329412  0.278431  0.278431  0.278431      1  \n",
       "24  0.152941  0.078431  0.243137  0.156863  0.090196      1  \n",
       "25  0.337255  0.352941  0.368627  0.329412  0.349020      1  \n",
       "26  0.278431  0.086275  0.470588  0.294118  0.113725      1  \n",
       "27  0.513725  0.360784  0.231373  0.392157  0.176471      0  \n",
       "28  0.243137  0.219608  0.184314  0.180392  0.164706      1  \n",
       "29  0.000000  0.000000  0.000000  0.000000  0.000000      0  \n",
       "30  0.211765  0.211765  0.184314  0.184314  0.184314      1  \n",
       "31  0.027451  0.023529  0.105882  0.023529  0.019608      1  \n",
       "32  0.713725  0.709804  0.705882  0.709804  0.709804      1  \n",
       "33  0.823529  0.800000  0.819608  0.843137  0.827451      1  \n",
       "34  0.650980  0.694118  0.588235  0.592157  0.635294      0  \n",
       "35  0.164706  0.180392  0.098039  0.113725  0.121569      0  \n",
       "36  0.525490  0.482353  0.411765  0.521569  0.458824      0  \n",
       "37  0.380392  0.427451  0.345098  0.368627  0.419608      1  \n",
       "38  0.470588  0.474510  0.478431  0.478431  0.478431      0  \n",
       "39  0.141176  0.070588  0.062745  0.129412  0.058824      0  \n",
       "40  0.290196  0.329412  0.349020  0.282353  0.321569      1  \n",
       "41  0.380392  0.623529  0.301961  0.392157  0.639216      1  \n",
       "42  0.529412  0.490196  0.560784  0.529412  0.494118      1  \n",
       "43  0.219608  0.058824  0.078431  0.247059  0.082353      0  \n",
       "44  0.058824  0.086275  0.043137  0.054902  0.074510      0  \n",
       "45  0.843137  0.878431  0.800000  0.819608  0.858824      0  \n",
       "46  0.521569  0.282353  0.301961  0.462745  0.188235      1  \n",
       "47  0.517647  0.407843  0.717647  0.552941  0.454902      1  \n",
       "48  0.403922  0.349020  0.564706  0.537255  0.423529      1  \n",
       "49  0.137255  0.070588  0.019608  0.086275  0.019608      0  \n",
       "\n",
       "[50 rows x 12289 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tdata=imgs1.reshape(50,64*64*3)\n",
    "teD=pd.DataFrame(data=tdata)\n",
    "testD=teD.applymap(lambda x: x/255)\n",
    "labelsT=pd.DataFrame(data=labels1,columns=['CLASS'])\n",
    "testD=pd.concat([testD,labelsT],axis=1)\n",
    "testD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12288"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features=list(dataF.columns)\n",
    "features.remove('CLASS')\n",
    "output=['CLASS']\n",
    "len(features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "def learn(train,test,parameters):\n",
    "    TrAcc=0\n",
    "    TeAcc=0\n",
    "    solv=parameters[0] #string eg. sgd, adam, etc..\n",
    "    hLay=parameters[1] #tuple eg. (2,2,) 2 layers with 2 neurones each \n",
    "    acti=parameters[2] # string eg. logistic, tanh, Relu\n",
    "    alpha=parameters[3] # Initial learning rate\n",
    "    ltype=parameters[4] # constant/ adaptative/ invscaling\n",
    "    itr=parameters[5] # Max number of iterations \n",
    "    classif=MLPClassifier(solver=solv,hidden_layer_sizes=hLay,activation=acti,learning_rate_init=alpha,learning_rate=ltype,max_iter=itr)\n",
    "    classif.fit(train[features],train[output])\n",
    "    TrAcc=classif.score(train[features],train[output])\n",
    "    TeAcc=classif.score(test[features],test[output])\n",
    "    return(TrAcc,TeAcc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YsfEss\\Anaconda3\\lib\\site-packages\\sklearn\\neural_network\\multilayer_perceptron.py:916: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "evaluation=pd.DataFrame(columns=['Solver','Layers config','Activation','Learning rate','Type of learning rate','Max epochs','Accuracy'])\n",
    "parameters=['sgd',(100,),'tanh',0.01,'constant',3000]\n",
    "tr,te=learn(dataF,testD,parameters)\n",
    "parameters.append((tr,te))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Solver</th>\n",
       "      <th>Layers config</th>\n",
       "      <th>Activation</th>\n",
       "      <th>Learning rate</th>\n",
       "      <th>Type of learning rate</th>\n",
       "      <th>Max epochs</th>\n",
       "      <th>Accuracy</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.01</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.9138755980861244, 0.8)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Solver Layers config Activation  Learning rate Type of learning rate  \\\n",
       "0    sgd        (100,)       tanh           0.01              constant   \n",
       "\n",
       "  Max epochs                   Accuracy  \n",
       "0       3000  (0.9138755980861244, 0.8)  "
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluation.loc[0]=parameters\n",
    "evaluation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pretty good performance there with a simple network, let's see if we can do better"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YsfEss\\Anaconda3\\lib\\site-packages\\sklearn\\neural_network\\multilayer_perceptron.py:916: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "parameters=['sgd',(100,),'tanh',0.0001,'constant',3000]\n",
    "tr,te=learn(dataF,testD,parameters)\n",
    "parameters.append((tr,te))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Solver</th>\n",
       "      <th>Layers config</th>\n",
       "      <th>Activation</th>\n",
       "      <th>Learning rate</th>\n",
       "      <th>Type of learning rate</th>\n",
       "      <th>Max epochs</th>\n",
       "      <th>Accuracy</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.9138755980861244, 0.8)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.7559808612440191, 0.48)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Solver Layers config Activation  Learning rate Type of learning rate  \\\n",
       "0    sgd        (100,)       tanh         0.0100              constant   \n",
       "1    sgd        (100,)       tanh         0.0001              constant   \n",
       "\n",
       "  Max epochs                    Accuracy  \n",
       "0       3000   (0.9138755980861244, 0.8)  \n",
       "1       3000  (0.7559808612440191, 0.48)  "
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluation.loc[1]=parameters\n",
    "evaluation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's a huge leap back in both train and test accuracies. Let's change the parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YsfEss\\Anaconda3\\lib\\site-packages\\sklearn\\neural_network\\multilayer_perceptron.py:916: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "parameters=['sgd',(100,),'tanh',0.01,'adaptive',3000]\n",
    "tr,te=learn(dataF,testD,parameters)\n",
    "parameters.append((tr,te))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>Solver</th>\n",
       "      <th>Layers config</th>\n",
       "      <th>Activation</th>\n",
       "      <th>Learning rate</th>\n",
       "      <th>Type of learning rate</th>\n",
       "      <th>Max epochs</th>\n",
       "      <th>Accuracy</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.9138755980861244, 0.8)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.7559808612440191, 0.48)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>adaptive</td>\n",
       "      <td>3000</td>\n",
       "      <td>(1.0, 0.66)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Solver Layers config Activation  Learning rate Type of learning rate  \\\n",
       "0    sgd        (100,)       tanh         0.0100              constant   \n",
       "1    sgd        (100,)       tanh         0.0001              constant   \n",
       "2    sgd        (100,)       tanh         0.0100              adaptive   \n",
       "\n",
       "  Max epochs                    Accuracy  \n",
       "0       3000   (0.9138755980861244, 0.8)  \n",
       "1       3000  (0.7559808612440191, 0.48)  \n",
       "2       3000                 (1.0, 0.66)  "
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluation.loc[2]=parameters\n",
    "evaluation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, we have a case of overfitting in here, the model suffers from high variance. Let's now change the layers configuration. Instead of one hidden layer with 100 neurone let's do a 2 hidden layer with 50/50 units."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YsfEss\\Anaconda3\\lib\\site-packages\\sklearn\\neural_network\\multilayer_perceptron.py:916: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "parameters=['sgd',(50,50,),'tanh',0.01,'adaptive',3000]\n",
    "tr,te=learn(dataF,testD,parameters)\n",
    "parameters.append((tr,te))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>Learning rate</th>\n",
       "      <th>Type of learning rate</th>\n",
       "      <th>Max epochs</th>\n",
       "      <th>Accuracy</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.9138755980861244, 0.8)</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.7559808612440191, 0.48)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100,)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>adaptive</td>\n",
       "      <td>3000</td>\n",
       "      <td>(1.0, 0.66)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(50, 50)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>adaptive</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.7990430622009569, 0.56)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Solver Layers config Activation  Learning rate Type of learning rate  \\\n",
       "0    sgd        (100,)       tanh         0.0100              constant   \n",
       "1    sgd        (100,)       tanh         0.0001              constant   \n",
       "2    sgd        (100,)       tanh         0.0100              adaptive   \n",
       "3    sgd      (50, 50)       tanh         0.0100              adaptive   \n",
       "\n",
       "  Max epochs                    Accuracy  \n",
       "0       3000   (0.9138755980861244, 0.8)  \n",
       "1       3000  (0.7559808612440191, 0.48)  \n",
       "2       3000                 (1.0, 0.66)  \n",
       "3       3000  (0.7990430622009569, 0.56)  "
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluation.loc[3]=parameters\n",
    "evaluation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YsfEss\\Anaconda3\\lib\\site-packages\\sklearn\\neural_network\\multilayer_perceptron.py:916: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "parameters=['sgd',(50,50,),'tanh',0.01,'constant',3000]\n",
    "tr,te=learn(dataF,testD,parameters)\n",
    "parameters.append((tr,te))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
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       "      <th>3</th>\n",
       "      <td>sgd</td>\n",
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       "      <td>sgd</td>\n",
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       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.6794258373205742, 0.38)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Solver Layers config Activation  Learning rate Type of learning rate  \\\n",
       "0    sgd        (100,)       tanh         0.0100              constant   \n",
       "1    sgd        (100,)       tanh         0.0001              constant   \n",
       "2    sgd        (100,)       tanh         0.0100              adaptive   \n",
       "3    sgd      (50, 50)       tanh         0.0100              adaptive   \n",
       "4    sgd      (50, 50)       tanh         0.0100              constant   \n",
       "\n",
       "  Max epochs                    Accuracy  \n",
       "0       3000   (0.9138755980861244, 0.8)  \n",
       "1       3000  (0.7559808612440191, 0.48)  \n",
       "2       3000                 (1.0, 0.66)  \n",
       "3       3000  (0.7990430622009569, 0.56)  \n",
       "4       3000  (0.6794258373205742, 0.38)  "
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluation.loc[4]=parameters\n",
    "evaluation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Worst model so far..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YsfEss\\Anaconda3\\lib\\site-packages\\sklearn\\neural_network\\multilayer_perceptron.py:916: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "parameters=['sgd',(100,100,100,),'tanh',0.0001,'adaptive',3000]\n",
    "tr,te=learn(dataF,testD,parameters)\n",
    "parameters.append((tr,te))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>1</th>\n",
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       "      <td>0.0100</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.6794258373205742, 0.38)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100, 100, 100)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>adaptive</td>\n",
       "      <td>3000</td>\n",
       "      <td>(1.0, 0.74)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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       "</div>"
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      "text/plain": [
       "  Solver    Layers config Activation  Learning rate Type of learning rate  \\\n",
       "0    sgd           (100,)       tanh         0.0100              constant   \n",
       "1    sgd           (100,)       tanh         0.0001              constant   \n",
       "2    sgd           (100,)       tanh         0.0100              adaptive   \n",
       "3    sgd         (50, 50)       tanh         0.0100              adaptive   \n",
       "4    sgd         (50, 50)       tanh         0.0100              constant   \n",
       "5    sgd  (100, 100, 100)       tanh         0.0001              adaptive   \n",
       "\n",
       "  Max epochs                    Accuracy  \n",
       "0       3000   (0.9138755980861244, 0.8)  \n",
       "1       3000  (0.7559808612440191, 0.48)  \n",
       "2       3000                 (1.0, 0.66)  \n",
       "3       3000  (0.7990430622009569, 0.56)  \n",
       "4       3000  (0.6794258373205742, 0.38)  \n",
       "5       3000                 (1.0, 0.74)  "
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "evaluation.loc[5]=parameters\n",
    "evaluation"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay this one as model 2 suffers from high variance, one more model to wrap up.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YsfEss\\Anaconda3\\lib\\site-packages\\sklearn\\neural_network\\multilayer_perceptron.py:916: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "parameters=['lbfgs',(100,50,50,),'tanh',0.01,'constant',3000]\n",
    "tr,te=learn(dataF,testD,parameters)\n",
    "parameters.append((tr,te))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(50, 50)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(0.6794258373205742, 0.38)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>sgd</td>\n",
       "      <td>(100, 100, 100)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>adaptive</td>\n",
       "      <td>3000</td>\n",
       "      <td>(1.0, 0.74)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>lbfgs</td>\n",
       "      <td>(100, 50, 50)</td>\n",
       "      <td>tanh</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>constant</td>\n",
       "      <td>3000</td>\n",
       "      <td>(1.0, 0.82)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Solver    Layers config Activation  Learning rate Type of learning rate  \\\n",
       "0    sgd           (100,)       tanh         0.0100              constant   \n",
       "1    sgd           (100,)       tanh         0.0001              constant   \n",
       "2    sgd           (100,)       tanh         0.0100              adaptive   \n",
       "3    sgd         (50, 50)       tanh         0.0100              adaptive   \n",
       "4    sgd         (50, 50)       tanh         0.0100              constant   \n",
       "5    sgd  (100, 100, 100)       tanh         0.0001              adaptive   \n",
       "6  lbfgs    (100, 50, 50)       tanh         0.0100              constant   \n",
       "\n",
       "   Max epochs                    Accuracy  \n",
       "0        3000   (0.9138755980861244, 0.8)  \n",
       "1        3000  (0.7559808612440191, 0.48)  \n",
       "2        3000                 (1.0, 0.66)  \n",
       "3        3000  (0.7990430622009569, 0.56)  \n",
       "4        3000  (0.6794258373205742, 0.38)  \n",
       "5        3000                 (1.0, 0.74)  \n",
       "6        3000                 (1.0, 0.82)  "
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluation.loc[6]=parameters\n",
    "evaluation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So we managed to make a normal neural network to reach a 82% accuracy on cat image recognition and that's good enough since there is more specified neural network for such a task (CNNs) that yield great results for more complicated computer vision problems but this looks like a good result for now."
   ]
  }
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