大手ヘッジファンドX: 金融モデリングチャレンジ 実験記録

解析ログ.ipynb

解析ログ2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 大手ヘッジファンドX: 金融モデリングチャレンジ 実験記録\n",
    "\n",
    "[大手ヘッジファンドX: 金融モデリングチャレンジ](https://deepanalytics.jp/compe/53)があまりに出来ないので知見を共有する\n",
    "\n",
    "もしかしたらとんでもないミスをしているかもしれないので気づいたら教えてほしい\n",
    "\n",
    "## 概要\n",
    "\n",
    "### 学習データ (train.csv)\n",
    "- data_id: データのID\n",
    "- period: データが所属する時期を区別する識別子。'train1'から'train14'までの14種類\n",
    "- c1〜c88: 説明用のデータ。説明欄にある「我々が独自に導出した様々なデータ」のことだろう。それぞれが何を表すのかは不明\n",
    "- target: ターゲット。0または1\n",
    "\n",
    "### テストデータ (test.csv)\n",
    "- data_id: データのID\n",
    "- c1〜c88: 説明用のデータ。\n",
    "\n",
    "テストデータには`period`がないのが特徴だと思った。\n",
    "\n",
    "### 提出データ (submit.csv)\n",
    "- data_id: データのID\n",
    "- 確信度: データが1を取る確率\n",
    "\n",
    "評価はloglossで行われる。\n",
    "![](https://i.deepanalytics.jp/i/w600h0t4i3532)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 可視化\n",
    "各特徴量についてクラスごとのヒストグラムとPCAによる射影を調べた"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c1\n"
     ]
    },
    {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1bea9128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c2\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be34b34e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c3\n"
     ]
    },
    {
     "data": {
      "image/png": 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ujjxR8uV87UTJNxicJDm52T6lue+Rpu/hEyVXT6oxYYx3A789dHvd0PYfMjhuCHA+R55A\neobByaNVzfbZvHYC6fzmMfdy5Amk6yeM46eAE4e2/4PBtxKWfZ+NGU8wOAb50QXtM9k/S5x/Y2tP\nYe53VrsPr0Vf5iczeL+yAnJs0Tk0jUk/tIM+zeBj2P8y+A13HYPjarsYfH1p19AOCOB2BmfhvwrM\nDT3P7zA4WbNvwYs+B3yteczHee0rUiNrjBnjTwIvAW8earurGcPjwI4Fk+vGpt4ehr6JwOAs/1PN\nfTcOtZ/D4Gz+vmZiHT9hLOc0E/ExBl/nu3HSz9PlPhsznl9k8BH0cYa+Rjer/dNiHo6sPaX3QCe1\n+/Ba9GF+MoP3Kysgx47m4l/4SlJBfTjmL0maMsNfkgoy/CWpIMNfkgoy/CWpIMNfkgoy/CWpIMNf\nkgr6f7rqIDUXcrsDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b2b9898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c4\n"
     ]
    },
    {
     "data": {
      "image/png": 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vVuOgncB1ffcvS3JXkquTnHiE/Xke8F9V9dSA/vQr4EtJbk+ya43+jvOYHCLJduDl9KbQ\nMN1jcDiG1ZqGqdSeo+diLsbmCrN8ra40D+9dz3A0hMIwGdBWR9C+epHkOOBi4DNd00eBXwReBjwC\n/NmE+/PKqjoHuBB4V5JXrdbdSfQhyc8DnwPeXVXfZ/rH4HBMYp9zU3vOnouZj81DCsz+tbpeM61/\nNITCo930ie7nY137Er2TbwedChxYo/3UAe2r1YDegP9mVT0KUFWPVtVPquqnwMfpTTmPpD+P05s2\nblnRfoiqOtD9fAy4oas3jWNCt/9j6b0J/W1V/d0sjsFhGlZrGiZae96ei1mPzQFm+lodYNbvXYOt\nddJh3m7Adg49WfOnHHoi5cPd8m9z6Mmab9TTJ2u+Re9EzYnd8nO7dbd12x48WXPRajW6+9cDb+u7\nf3Lf8h/T+2wS4CUcevJqP70TV1u65TN4+uTVS7rHfIZDT179wYpj8SzghL7lr9K7OmLix6RbF3qf\nX/7Fin5N7RgcwfgZWmsKY3diteftuZj12BzSp5m9Vrv27czRe9fQ4zSNF8MYX1TX0Zvm/R+9dHw7\nvc/zbqF3ydUtfQcpwFX0rha4G1jo28/v0zt5tG/FIFkA7ukecyVPX9Y1rMbPAU8Az+7bxye7encB\ne1YMvCu6fT/AoVfxXETvapGHgCv62s+kd1XBvm7QHb/ieJzZDcw76V2GeMUa/R3bMenW/Tq9aepd\n9F3WN81jcITjaGCtKY3hidSet+di1mNzQH9m/Vqdq/eu1W5+o1mS1BwN5xQkSWNiKEiSGkNBktQY\nCpKkxlCQJDWGgiSpMRQkSY2hIElq/h8QIcTXbR24WAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1ba9d470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c5\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be4a32d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c6\n"
     ]
    },
    {
     "data": {
      "image/png": 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OJXkecGeS+4D/HNOvFqhjN7C7W/zvJIfOYP+rySbgyytdxMDW2jF9/3LtaM55/ViS+5dr\n38tkrZ0bZ/vxPPd0OqVq3t/Fpx48+uX8yqp6JMlm4JNVteCTKsn7gL8H/ho4DnxvVZ1M8lLgLVX1\n6kUXdBZIMlNV0ytdx5DW2jGt1PGstZ8jrL1jWmvHM59JLyXtA3Z187uAv53bIcnGJOd085uAlwEP\n1iiRPgH81ELjJUnLa9JguBG4NMlh4NJumSTTSd7T9Xk+MJPkXxkFwY1V9WC37neA30xyhNF7Du+d\nsB5J0oRO+R7DQqrqK8BPjGmfAa7u5u8CXjDP+KPAJZPUcBbas9IFLIG1dkwrdTxr7ecIa++Y1trx\njDXRewySpLXHr8SQJDUMhtOU5Pwkn0jy2SQPJPm1rn3s14Jk5J1JjiS5N8mLe9va1fU/nGRXr/3i\nJPd1Y97ZfQjwtL96ZBHHtDfJo/1bJM/m4xlCkh1JDnU1z/dJ/jWz3wXqWVPnxlp8/i6pqnI6jQnY\nDLy4m38m8HngQuD3gWu79muBt3fzrwU+BgR4CfCZrv1c4Gj3uLGb39it+2fgpd2YjwGv6drH7mOA\nY3oF8GLg/l7bWXs8A/w81gEPAc8DNgD/Cly4Vvf7VDo31uLzd0n//Ve6gLN1YnRr7aXAIWBz7+Q7\n1M3fDFzZ63+oW38lcHOv/eaubTPwuV77t/vNt4+BjmPbnCf/WX08E/4sXgrc1lu+Drhure73qXxu\nrJXn71JNXkpahCTbgBcBn2H+rwU5D3i4N+yJr/xYqH12TDsL7GMprLXjORPzHcta3e+ZWhPnxhp/\n/g7CYDhDSZ7B6FPbv15V477W49tdx7TVItpXi7V2POOsVM1n48+q76w5N57Cz98zYjCcgSRPY3RS\n/XlV/U3X/KWMvg6E7vHRrn0WOL83fAtw7BTtW8a0L7SPpbDWjudMzHcsa3W/Z+qsPjeeIs/fQRgM\np6m7w+C9wGer6g97q+b7WpB9wOu7uxteAnytexl5G3BZRl8VshG4jNH15UeA/0rykm5fr5+zrQW/\nemRAa+14zsQBYHtG/4HUBuAKRrWu1f2eqbP23HgKPX+HsdJvcpwtE/ByRi8N7wXu6abXMvoqjzuA\nw93juV3/ADcxutvkPmC6t61fBI500xt77dPA/d2YP+b/P4A4dh8DHNOHgEeA/2X0F89VZ/PxDPQz\neS2jO1YeAt601vf7VDk31uLzdyknP/ksSWp4KUmS1DAYJEkNg0GS1DAYJEkNg0GS1DAYJEkNg0GS\n1DAYJEmN/wOqJgFHFpIjsgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b1096a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c7\n"
     ]
    },
    {
     "data": {
      "image/png": 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pQYa/JDXI8JekBhn+ktQgw1+SGmT4S1KD/hda1RMDEcZpKAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be4b36978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c8\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD8CAYAAABXe05zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be1ee1940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c9\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1bce8e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c10\n"
     ]
    },
    {
     "data": {
      "image/png": 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XLHn41cATa7RfPaR9tRobaVr363ystE/TXvtCTM18aex9vm5NB0D3Sf09wMmqeu+STYeA\nH3/Cv4/Fc4Y/bn9T9y2B64Fvd4d1R4DXJtnWfcr/WhbP9S4A301yfVfrTcuea1iNjTSt+3U+HgB2\nJXlhkq3AbSyOedprX4ipmC8Nvs/Xb9wfQozzBvwai4dqXwO+0t1uAZ4PHANOd/fbu/4BPsDiNzke\nAgZLnut3gTPd7XeWtA+Ah7vHvJ//v/huaI0R7ttfAwvA/7D4G8pbpmG/RvTa3MLiN0EeBe5spXar\n82Wa3+d9b14JLEmNavoUkCS1zACQpEYZAJLUKANAkhplAEhSowwASWqUASBJjTIAJKlR/wu6lkpR\nUUhu5gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be1f5beb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c11\n"
     ]
    },
    {
     "data": {
      "image/png": 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f84EjwN90p3k3JfkJ4OyqOgTQTc/q6r8YeHzg+Qe7suOVHxxSPio3AH8C/LBbfiHwnap6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\nJDXI8JekBhn+ktQgw1+SGvT/V/po/tZ8jr0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be477edd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c12\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be46cc978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c13\n"
     ]
    },
    {
     "data": {
      "image/png": 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/DVy6r7sEfDPJTV2tO1Zca1iNrTbNc9uoh4B9SV6S5ErgNi6Nedprb9ZUrJlGX+9rG/eH\nDuN6AD/BpV/LHgEe7h5vAl4InAAWu+2urn+AD3LprzUeBQbLrvXzwJnu8fZl7QPgse5nPsB3v1Q3\ntMaI5/cHwBLw31x6V/KOaZnbCJ6bN3Hprz0eB+5qpXbLa2baX++befgNX0lqULO3fSSpZYa/JDXI\n8JekBhn+ktQgw1+SGmT4S1KDDH9JapDhL0kN+l/iQkfUnBn1zAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1bc21f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c14\n"
     ]
    },
    {
     "data": {
      "image/png": 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sjwETVfuCfkuM5yF+PPyXfe6O47jeAWxsw1wd57j71l/u34NR1O46JiNbJ8BaYC/wq8Cn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\nQIa/JBXI8JekAv0/8jNio5EI7QkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be183e7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c15\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b9cab00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c16\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1ba1f438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c17\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b0d1d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c18\n"
     ]
    },
    {
     "data": {
      "image/png": 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4TPe4BXgB8HHgC93X53f1AU6y9JsQnwNmR471G8B893jjyPgs8Fj3PX/M/39YbMU5Nng+\n9wJPAt9m6crj9q16LgP+Hd/C0m9SfBF4e+vzbpe10dprd7MffkJVkhq07W7LSNJ2YLhLUoMMd0lq\nkOEuSQ0y3CWpQYa7JDXIcJekBhnuktSg/wOWlQk9aSpFegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be4b63c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c19\n"
     ]
    },
    {
     "data": {
      "image/png": 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UIMNfkhpk+EtSgwx/SWrQ/wIknxHpwV+2cgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1be73550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c20\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1bab9a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c21\n"
     ]
    },
    {
     "data": {
      "image/png": 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9a7GcJe2XtH9oneeWS7w9PynpTW3aflPUfG77FbdHtlVu43btuevC/t+FHJnmktNUzGWS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\nKoh+FAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be49f8be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c22\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEOwAkAzBDgDJEOwAkAzBDgDJ/A8ovDS7gEjCiwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1bc21ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c23\n"
     ]
    },
    {
     "data": {
      "image/png": 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7Ld1vD1wPPNn96HcSeGOSK7tP/9/I8j3fJ4DvJrm+q3XL0LFG1ejbZjqX5+IUsC/J1Um2\nAYdYHudmr32pNuy8aOR925/1/tBhGhfg51n+ce4h4MvdchPwEuBe4LHu61Vd/wDHWP5Njq8CswPH\n+lVgoVveNtA+CzzcveZD/P8DdyNrTHg+nwKeAH7A8tXLbRv1XHr6872J5d8E+Trw7lZqb/Z5sdne\nt5d78QlfSWqQt30kqUGGvyQ1yPCXpAYZ/pLUIMNfkhpk+EtSgwx/SWqQ4S9JDfo/pkJ43FcmkTUA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1bfa5da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c24\n"
     ]
    },
    {
     "data": {
      "image/png": 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DkixX1dIi+zPPGPtln85fkuUFlT4+lv0xpvvGvsy3EX3xrSFJapxBIEmNu1SC4NCiO7CC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\njTMIJKlx/x/NfaIFPtEe7wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1bebcbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c25\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b613d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c26\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b497208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c27\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be49c3f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c28\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be4902860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c29\n"
     ]
    },
    {
     "data": {
      "image/png": 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C8K1VD27tbQO+t9GDWEOb/fgAfqOqHrveRZP8GDiy3nXXwWadM6fbcT25qlZ8etk3/J8I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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b979ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c30\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be47082e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c31\n"
     ]
    },
    {
     "data": {
      "image/png": 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X5rQ3zjcQJnUB1nL0my+3cfQbI7c22x/i6Ddfvp5vvfnybXpvvKxstk9r7nuiaXvkzZdr\n5qrR3L4X+KO+26v7tv+c3jlHgIs4+s2nffTeeFrebJ/HW28+XdQ85n6OfvPppoGx+AXglL7t/6D3\nKYZFH5PmvqB3nvJTA/2a2Bgc49wZWWcC83Ystac95tOec9N4ztGxzBnLfJzEpB/zE+gL9F7W/S+9\nv5o30DtPt5PeR6J29g1qALfTe1f/GWCm7zh/TO/Nn70Dk2gGeLZ5zGd462NXo2r8PPAq8Pa+Y9zT\n1Hsa2D4wMbc0x97N0Z+auYbepzZeBLb07T+f3qcB9jaT8qSB8Ti/mbjfpPexvy3z9HdsY9Lc9xv0\nXqY+Td/H7CY5Bscxh4bWmdD8bV172mPegTk36efcfXQoc8Z18Ru+klTQUjnnL0k6Boa/JBVk+EtS\nQYa/JBVk+EtSQYa/JBVk+EtSQYa/JBX0f5WIAVGf7MtvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b0ecf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c32\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be45e3e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c33\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4c1b9cc198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c34\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD8CAYAAABXe05zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndv0EQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be1b94438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c35\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4be1e4cdd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c36\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAD8CAYAAACYebj1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgA