lesson18.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "broke-exhibition",
   "metadata": {},
   "source": [
    "## Визуализация данных"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "round-uncertainty",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "final-defendant",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f94db88bef0>]"
      ]
     },
     "execution_count": 2,
     "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": [
    "plt.plot([1, 2, 3, 6], [4, 3, 10, 3], 'o--', color='Teal', lw=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "demonstrated-eleven",
   "metadata": {},
   "outputs": [],
   "source": [
    "# https://raw.githubusercontent.com/rpruim/OpenIntro/master/data/hsb2.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fluid-oklahoma",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "df = pd.read_csv(\"https://raw.githubusercontent.com/rpruim/OpenIntro/master/data/hsb2.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "separate-zambia",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f94dc474eb8>]"
      ]
     },
     "execution_count": 5,
     "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": [
    "plt.plot(df['read'], df['write'], 'o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "martial-fifteen",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Correlation between reading and writing')"
      ]
     },
     "execution_count": 6,
     "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": [
    "plt.scatter(df['read'], df['write'])\n",
    "plt.xlabel(\"Reading grade\")\n",
    "plt.ylabel(\"Writing grade\")\n",
    "plt.title(\"Correlation between reading and writing\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "lyric-outside",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['id', 'gender', 'race', 'ses', 'schtyp', 'prog', 'read', 'write',\n",
       "       'math', 'science', 'socst'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "utility-neighbor",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f94dc6b2908>"
      ]
     },
     "execution_count": 8,
     "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": [
    "df.plot.scatter(x='read', y='write')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "dietary-armor",
   "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>id</th>\n",
       "      <th>gender</th>\n",
       "      <th>race</th>\n",
       "      <th>ses</th>\n",
       "      <th>schtyp</th>\n",
       "      <th>prog</th>\n",
       "      <th>read</th>\n",
       "      <th>write</th>\n",
       "      <th>math</th>\n",
       "      <th>science</th>\n",
       "      <th>socst</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>191</th>\n",
       "      <td>175</td>\n",
       "      <td>female</td>\n",
       "      <td>white</td>\n",
       "      <td>high</td>\n",
       "      <td>private</td>\n",
       "      <td>general</td>\n",
       "      <td>36</td>\n",
       "      <td>57</td>\n",
       "      <td>42</td>\n",
       "      <td>50</td>\n",
       "      <td>41</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      id  gender   race   ses   schtyp     prog  read  write  math  science  \\\n",
       "191  175  female  white  high  private  general    36     57    42       50   \n",
       "\n",
       "     socst  \n",
       "191     41  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.query('read< 40 and write > 55')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "polished-lounge",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f94dc93bb00>]"
      ]
     },
     "execution_count": 10,
     "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": [
    "plt.scatter(df['read'], df['write'])\n",
    "plt.xlabel(\"Reading grade\")\n",
    "plt.ylabel(\"Writing grade\")\n",
    "plt.title(\"Correlation between reading and writing\")\n",
    "plt.annotate(\"Good writer\", (36, 57), xytext=(29, 64),\n",
    "             arrowprops={'arrowstyle': '->'})\n",
    "plt.plot([36], [57], 'o', markersize=10, color='red')\n",
    "plt.plot([30, 70], [30, 70], color='darkgreen', alpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "agricultural-infection",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'read')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), sharey=True)\n",
    "ax1.scatter(df['read'], df['write'])\n",
    "ax2.scatter(df['read'], df['math'])\n",
    "ax1.set_ylabel('write')\n",
    "ax2.set_ylabel('math')\n",
    "ax1.set_xlabel('read')\n",
    "ax2.set_xlabel('read')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "mobile-architect",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f94dcba0710>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([1, 2, 3], [1, 4, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "immediate-stations",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f94dcc88470>]"
      ]
     },
     "execution_count": 13,
     "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": [
    "plt.plot([4, 3, 2], [1, 5, 3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "going-phoenix",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "interpreted-field",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f94dcd691d0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax2.plot([30, 60], [60, 30], label=\"Some line\")\n",
    "ax2.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "isolated-darkness",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "korean-pavilion",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.00208333, 0.0125    , 0.02395833, 0.046875  , 0.01979167,\n",
       "        0.03020833, 0.025     , 0.02708333, 0.01354167, 0.00729167]),\n",
       " array([28. , 32.8, 37.6, 42.4, 47.2, 52. , 56.8, 61.6, 66.4, 71.2, 76. ]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df['read'], bins=10, density=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "stylish-holder",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f94dcd6fe80>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['ses'].value_counts().plot.bar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "adaptive-navigation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'whiskers': [<matplotlib.lines.Line2D at 0x7f94dd01df60>,\n",
       "  <matplotlib.lines.Line2D at 0x7f94dd02e320>],\n",
       " 'caps': [<matplotlib.lines.Line2D at 0x7f94dd02e6a0>,\n",
       "  <matplotlib.lines.Line2D at 0x7f94dd02ea20>],\n",
       " 'boxes': [<matplotlib.lines.Line2D at 0x7f94dd01dc50>],\n",
       " 'medians': [<matplotlib.lines.Line2D at 0x7f94dd02eda0>],\n",
       " 'fliers': [<matplotlib.lines.Line2D at 0x7f94dd037160>],\n",
       " 'means': []}"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.boxplot(df['read'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "departmental-inquiry",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[0., 1., 0., 0., 1., 0., 0., 0., 0., 0.],\n",
       "        [1., 4., 0., 3., 1., 2., 0., 1., 0., 0.],\n",
       "        [3., 1., 6., 1., 2., 1., 6., 3., 0., 0.],\n",
       "        [2., 2., 5., 7., 4., 9., 4., 7., 4., 1.],\n",
       "        [2., 0., 3., 1., 2., 6., 0., 2., 2., 1.],\n",
       "        [0., 0., 3., 2., 0., 2., 4., 9., 6., 3.],\n",
       "        [0., 0., 1., 0., 1., 4., 5., 4., 6., 3.],\n",
       "        [0., 0., 0., 2., 0., 3., 1., 6., 5., 9.],\n",
       "        [0., 0., 0., 0., 0., 0., 1., 5., 3., 4.],\n",
       "        [0., 0., 0., 0., 0., 1., 0., 0., 4., 2.]]),\n",
       " array([28. , 32.8, 37.6, 42.4, 47.2, 52. , 56.8, 61.6, 66.4, 71.2, 76. ]),\n",
       " array([31. , 34.6, 38.2, 41.8, 45.4, 49. , 52.6, 56.2, 59.8, 63.4, 67. ]),\n",
       " <matplotlib.collections.QuadMesh at 0x7f94dc9d5cc0>)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist2d(df['read'], df['write'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "egyptian-resistance",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f94dccffef0>"
      ]
     },
     "execution_count": 21,
     "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": [
    "plt.scatter(df['read'], df['write'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "wicked-nowhere",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: seaborn in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (0.10.1)\n",
      "Requirement already satisfied: scipy>=1.0.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from seaborn) (1.5.0)\n",
      "Requirement already satisfied: matplotlib>=2.1.2 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from seaborn) (3.2.2)\n",
      "Requirement already satisfied: pandas>=0.22.0 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from seaborn) (1.1.5)\n",
      "Requirement already satisfied: numpy>=1.13.3 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from seaborn) (1.19.0)\n",
      "Requirement already satisfied: python-dateutil>=2.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=2.1.2->seaborn) (2.8.1)\n",
      "Requirement already satisfied: cycler>=0.10 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=2.1.2->seaborn) (0.10.0)\n",
      "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=2.1.2->seaborn) (2.4.7)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=2.1.2->seaborn) (1.2.0)\n",
      "Requirement already satisfied: pytz>=2017.2 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from pandas>=0.22.0->seaborn) (2020.1)\n",
      "Requirement already satisfied: six>=1.5 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from python-dateutil>=2.1->matplotlib>=2.1.2->seaborn) (1.15.0)\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install seaborn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "fiscal-stockholm",
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "relative-pathology",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7f94de966f98>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 430.25x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='read', y='write', data=df, \n",
    "           fit_reg=False, hue='ses')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "geological-metadata",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7f94dea104e0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 790.25x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='read', y='write', data=df, \n",
    "           fit_reg=True, hue='ses', \n",
    "           col='gender')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "identified-fleece",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f94dec54470>"
      ]
     },
     "execution_count": 26,
     "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": [
    "sns.boxplot(x='ses', y='read', data=df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "distant-bristol",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f94def5b4a8>"
      ]
     },
     "execution_count": 27,
     "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": [
    "sns.violinplot(x='ses', y='read', data=df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "theoretical-blind",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.00208333, 0.0125    , 0.02395833, 0.046875  , 0.01979167,\n",
       "        0.03020833, 0.025     , 0.02708333, 0.01354167, 0.00729167]),\n",
       " array([28. , 32.8, 37.6, 42.4, 47.2, 52. , 56.8, 61.6, 66.4, 71.2, 76. ]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(df['read'])\n",
    "plt.hist(df['read'], density=True, alpha=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "complicated-brighton",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7f94df133438>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.catplot(x='ses', y='math', data=df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "strategic-republic",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f94df207438>"
      ]
     },
     "execution_count": 30,
     "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": [
    "sns.barplot(x='ses', y='math', hue='gender', data=df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "fifteen-revelation",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: plotnine in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (0.7.1)\n",
      "Requirement already satisfied: matplotlib>=3.1.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (3.2.2)\n",
      "Requirement already satisfied: statsmodels>=0.11.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (0.12.1)\n",
      "Requirement already satisfied: numpy>=1.16.0 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (1.19.0)\n",
      "Requirement already satisfied: pandas>=1.1.0 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (1.1.5)\n",
      "Requirement already satisfied: scipy>=1.2.0 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (1.5.0)\n",
      "Requirement already satisfied: mizani>=0.7.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (0.7.2)\n",
      "Requirement already satisfied: descartes>=1.1.0 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (1.1.0)\n",
      "Requirement already satisfied: patsy>=0.5.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotnine) (0.5.1)\n",
      "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=3.1.1->plotnine) (2.4.7)\n",
      "Requirement already satisfied: python-dateutil>=2.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=3.1.1->plotnine) (2.8.1)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=3.1.1->plotnine) (1.2.0)\n",
      "Requirement already satisfied: cycler>=0.10 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from matplotlib>=3.1.1->plotnine) (0.10.0)\n",
      "Requirement already satisfied: pytz>=2017.2 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from pandas>=1.1.0->plotnine) (2020.1)\n",
      "Requirement already satisfied: palettable in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from mizani>=0.7.1->plotnine) (3.3.0)\n",
      "Requirement already satisfied: six in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from patsy>=0.5.1->plotnine) (1.15.0)\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install plotnine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "animal-idaho",
   "metadata": {},
   "outputs": [],
   "source": [
    "from plotnine import (ggplot, aes, geom_point, geom_smooth, \n",
    "                      facet_wrap, facet_grid, geom_rug)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "appropriate-circus",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages/plotnine/stats/smoothers.py:311: PlotnineWarning: Confidence intervals are not yet implementedfor lowess smoothings.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (8767337569498)>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(ggplot(aes(x='read', y='write', color=\"Socio-economic status\"), data=df.rename(columns={'ses': \"Socio-economic status\"})) \n",
    " + geom_point()\n",
    " + geom_smooth()\n",
    " + geom_rug()\n",
    " + facet_wrap(facets=('gender',), ncol=1)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "significant-apartment",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: plotly in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (4.13.0)\n",
      "Requirement already satisfied: retrying>=1.3.3 in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotly) (1.3.3)\n",
      "Requirement already satisfied: six in /Users/user/miniconda3/envs/featurevis-py3.6/lib/python3.6/site-packages (from plotly) (1.15.0)\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install plotly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "premier-strategy",
   "metadata": {},
   "outputs": [],
   "source": [
    "from plotly import graph_objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "fluid-delight",
   "metadata": {},
   "outputs": [],
   "source": [
    "from plotly.offline import iplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "wired-freight",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "        <script type=\"text/javascript\">\n",
       "        window.PlotlyConfig = {MathJaxConfig: 'local'};\n",
       "        if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}\n",
       "        if (typeof require !== 'undefined') {\n",
       "        require.undef(\"plotly\");\n",
       "        define('plotly', function(require, exports, module) {\n",
       "            /**\n",
       "* plotly.js v1.57.1\n",
       "* Copyright 2012-2020, Plotly, Inc.\n",
       "* All rights reserved.\n",
       "* Licensed under the MIT license\n",
       "*/\n",
       "!function(t){if(\"object\"==typeof exports&&\"undefined\"!=typeof module)module.exports=t();else if(\"function\"==typeof define&&define.amd)define([],t);else{(\"undefined\"!=typeof window?window:\"undefined\"!=typeof global?global:\"undefined\"!=typeof self?self:this).Plotly=t()}}((function(){return function t(e,r,n){function i(o,s){if(!r[o]){if(!e[o]){var l=\"function\"==typeof require&&require;if(!s&&l)return l(o,!0);if(a)return a(o,!0);var c=new Error(\"Cannot find module '\"+o+\"'\");throw c.code=\"MODULE_NOT_FOUND\",c}var u=r[o]={exports:{}};e[o][0].call(u.exports,(function(t){return i(e[o][1][t]||t)}),u,u.exports,t,e,r,n)}return r[o].exports}for(var a=\"function\"==typeof require&&require,o=0;o<n.length;o++)i(n[o]);return i}({1:[function(t,e,r){\"use strict\";var n=t(\"../src/lib\"),i={\"X,X div\":\"direction:ltr;font-family:'Open Sans', verdana, arial, sans-serif;margin:0;padding:0;\",\"X input,X button\":\"font-family:'Open Sans', verdana, arial, sans-serif;\",\"X 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0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},a.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r,n,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(r=this,n=t):(r=t,n=this);for(var a=0,o=0;o<n.length;o++)a=(e=(0|r.words[o])-(0|n.words[o])+a)>>26,this.words[o]=67108863&e;for(;0!==a&&o<r.length;o++)a=(e=(0|r.words[o])+a)>>26,this.words[o]=67108863&e;if(0===a&&o<r.length&&r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this.length=Math.max(this.length,o),r!==this&&(this.negative=1),this.strip()},a.prototype.sub=function(t){return this.clone().isub(t)};var p=function(t,e,r){var n,i,a,o=t.words,s=e.words,l=r.words,c=0,u=0|o[0],h=8191&u,f=u>>>13,p=0|o[1],d=8191&p,g=p>>>13,m=0|o[2],v=8191&m,y=m>>>13,x=0|o[3],b=8191&x,_=x>>>13,w=0|o[4],T=8191&w,k=w>>>13,M=0|o[5],A=8191&M,S=M>>>13,E=0|o[6],C=8191&E,L=E>>>13,P=0|o[7],I=8191&P,z=P>>>13,O=0|o[8],D=8191&O,R=O>>>13,F=0|o[9],B=8191&F,N=F>>>13,j=0|s[0],U=8191&j,V=j>>>13,q=0|s[1],H=8191&q,G=q>>>13,Y=0|s[2],W=8191&Y,Z=Y>>>13,X=0|s[3],J=8191&X,K=X>>>13,Q=0|s[4],$=8191&Q,tt=Q>>>13,et=0|s[5],rt=8191&et,nt=et>>>13,it=0|s[6],at=8191&it,ot=it>>>13,st=0|s[7],lt=8191&st,ct=st>>>13,ut=0|s[8],ht=8191&ut,ft=ut>>>13,pt=0|s[9],dt=8191&pt,gt=pt>>>13;r.negative=t.negative^e.negative,r.length=19;var mt=(c+(n=Math.imul(h,U))|0)+((8191&(i=(i=Math.imul(h,V))+Math.imul(f,U)|0))<<13)|0;c=((a=Math.imul(f,V))+(i>>>13)|0)+(mt>>>26)|0,mt&=67108863,n=Math.imul(d,U),i=(i=Math.imul(d,V))+Math.imul(g,U)|0,a=Math.imul(g,V);var vt=(c+(n=n+Math.imul(h,H)|0)|0)+((8191&(i=(i=i+Math.imul(h,G)|0)+Math.imul(f,H)|0))<<13)|0;c=((a=a+Math.imul(f,G)|0)+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(v,U),i=(i=Math.imul(v,V))+Math.imul(y,U)|0,a=Math.imul(y,V),n=n+Math.imul(d,H)|0,i=(i=i+Math.imul(d,G)|0)+Math.imul(g,H)|0,a=a+Math.imul(g,G)|0;var yt=(c+(n=n+Math.imul(h,W)|0)|0)+((8191&(i=(i=i+Math.imul(h,Z)|0)+Math.imul(f,W)|0))<<13)|0;c=((a=a+Math.imul(f,Z)|0)+(i>>>13)|0)+(yt>>>26)|0,yt&=67108863,n=Math.imul(b,U),i=(i=Math.imul(b,V))+Math.imul(_,U)|0,a=Math.imul(_,V),n=n+Math.imul(v,H)|0,i=(i=i+Math.imul(v,G)|0)+Math.imul(y,H)|0,a=a+Math.imul(y,G)|0,n=n+Math.imul(d,W)|0,i=(i=i+Math.imul(d,Z)|0)+Math.imul(g,W)|0,a=a+Math.imul(g,Z)|0;var xt=(c+(n=n+Math.imul(h,J)|0)|0)+((8191&(i=(i=i+Math.imul(h,K)|0)+Math.imul(f,J)|0))<<13)|0;c=((a=a+Math.imul(f,K)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(T,U),i=(i=Math.imul(T,V))+Math.imul(k,U)|0,a=Math.imul(k,V),n=n+Math.imul(b,H)|0,i=(i=i+Math.imul(b,G)|0)+Math.imul(_,H)|0,a=a+Math.imul(_,G)|0,n=n+Math.imul(v,W)|0,i=(i=i+Math.imul(v,Z)|0)+Math.imul(y,W)|0,a=a+Math.imul(y,Z)|0,n=n+Math.imul(d,J)|0,i=(i=i+Math.imul(d,K)|0)+Math.imul(g,J)|0,a=a+Math.imul(g,K)|0;var bt=(c+(n=n+Math.imul(h,$)|0)|0)+((8191&(i=(i=i+Math.imul(h,tt)|0)+Math.imul(f,$)|0))<<13)|0;c=((a=a+Math.imul(f,tt)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(A,U),i=(i=Math.imul(A,V))+Math.imul(S,U)|0,a=Math.imul(S,V),n=n+Math.imul(T,H)|0,i=(i=i+Math.imul(T,G)|0)+Math.imul(k,H)|0,a=a+Math.imul(k,G)|0,n=n+Math.imul(b,W)|0,i=(i=i+Math.imul(b,Z)|0)+Math.imul(_,W)|0,a=a+Math.imul(_,Z)|0,n=n+Math.imul(v,J)|0,i=(i=i+Math.imul(v,K)|0)+Math.imul(y,J)|0,a=a+Math.imul(y,K)|0,n=n+Math.imul(d,$)|0,i=(i=i+Math.imul(d,tt)|0)+Math.imul(g,$)|0,a=a+Math.imul(g,tt)|0;var _t=(c+(n=n+Math.imul(h,rt)|0)|0)+((8191&(i=(i=i+Math.imul(h,nt)|0)+Math.imul(f,rt)|0))<<13)|0;c=((a=a+Math.imul(f,nt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(C,U),i=(i=Math.imul(C,V))+Math.imul(L,U)|0,a=Math.imul(L,V),n=n+Math.imul(A,H)|0,i=(i=i+Math.imul(A,G)|0)+Math.imul(S,H)|0,a=a+Math.imul(S,G)|0,n=n+Math.imul(T,W)|0,i=(i=i+Math.imul(T,Z)|0)+Math.imul(k,W)|0,a=a+Math.imul(k,Z)|0,n=n+Math.imul(b,J)|0,i=(i=i+Math.imul(b,K)|0)+Math.imul(_,J)|0,a=a+Math.imul(_,K)|0,n=n+Math.imul(v,$)|0,i=(i=i+Math.imul(v,tt)|0)+Math.imul(y,$)|0,a=a+Math.imul(y,tt)|0,n=n+Math.imul(d,rt)|0,i=(i=i+Math.imul(d,nt)|0)+Math.imul(g,rt)|0,a=a+Math.imul(g,nt)|0;var wt=(c+(n=n+Math.imul(h,at)|0)|0)+((8191&(i=(i=i+Math.imul(h,ot)|0)+Math.imul(f,at)|0))<<13)|0;c=((a=a+Math.imul(f,ot)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(I,U),i=(i=Math.imul(I,V))+Math.imul(z,U)|0,a=Math.imul(z,V),n=n+Math.imul(C,H)|0,i=(i=i+Math.imul(C,G)|0)+Math.imul(L,H)|0,a=a+Math.imul(L,G)|0,n=n+Math.imul(A,W)|0,i=(i=i+Math.imul(A,Z)|0)+Math.imul(S,W)|0,a=a+Math.imul(S,Z)|0,n=n+Math.imul(T,J)|0,i=(i=i+Math.imul(T,K)|0)+Math.imul(k,J)|0,a=a+Math.imul(k,K)|0,n=n+Math.imul(b,$)|0,i=(i=i+Math.imul(b,tt)|0)+Math.imul(_,$)|0,a=a+Math.imul(_,tt)|0,n=n+Math.imul(v,rt)|0,i=(i=i+Math.imul(v,nt)|0)+Math.imul(y,rt)|0,a=a+Math.imul(y,nt)|0,n=n+Math.imul(d,at)|0,i=(i=i+Math.imul(d,ot)|0)+Math.imul(g,at)|0,a=a+Math.imul(g,ot)|0;var Tt=(c+(n=n+Math.imul(h,lt)|0)|0)+((8191&(i=(i=i+Math.imul(h,ct)|0)+Math.imul(f,lt)|0))<<13)|0;c=((a=a+Math.imul(f,ct)|0)+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,n=Math.imul(D,U),i=(i=Math.imul(D,V))+Math.imul(R,U)|0,a=Math.imul(R,V),n=n+Math.imul(I,H)|0,i=(i=i+Math.imul(I,G)|0)+Math.imul(z,H)|0,a=a+Math.imul(z,G)|0,n=n+Math.imul(C,W)|0,i=(i=i+Math.imul(C,Z)|0)+Math.imul(L,W)|0,a=a+Math.imul(L,Z)|0,n=n+Math.imul(A,J)|0,i=(i=i+Math.imul(A,K)|0)+Math.imul(S,J)|0,a=a+Math.imul(S,K)|0,n=n+Math.imul(T,$)|0,i=(i=i+Math.imul(T,tt)|0)+Math.imul(k,$)|0,a=a+Math.imul(k,tt)|0,n=n+Math.imul(b,rt)|0,i=(i=i+Math.imul(b,nt)|0)+Math.imul(_,rt)|0,a=a+Math.imul(_,nt)|0,n=n+Math.imul(v,at)|0,i=(i=i+Math.imul(v,ot)|0)+Math.imul(y,at)|0,a=a+Math.imul(y,ot)|0,n=n+Math.imul(d,lt)|0,i=(i=i+Math.imul(d,ct)|0)+Math.imul(g,lt)|0,a=a+Math.imul(g,ct)|0;var kt=(c+(n=n+Math.imul(h,ht)|0)|0)+((8191&(i=(i=i+Math.imul(h,ft)|0)+Math.imul(f,ht)|0))<<13)|0;c=((a=a+Math.imul(f,ft)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(B,U),i=(i=Math.imul(B,V))+Math.imul(N,U)|0,a=Math.imul(N,V),n=n+Math.imul(D,H)|0,i=(i=i+Math.imul(D,G)|0)+Math.imul(R,H)|0,a=a+Math.imul(R,G)|0,n=n+Math.imul(I,W)|0,i=(i=i+Math.imul(I,Z)|0)+Math.imul(z,W)|0,a=a+Math.imul(z,Z)|0,n=n+Math.imul(C,J)|0,i=(i=i+Math.imul(C,K)|0)+Math.imul(L,J)|0,a=a+Math.imul(L,K)|0,n=n+Math.imul(A,$)|0,i=(i=i+Math.imul(A,tt)|0)+Math.imul(S,$)|0,a=a+Math.imul(S,tt)|0,n=n+Math.imul(T,rt)|0,i=(i=i+Math.imul(T,nt)|0)+Math.imul(k,rt)|0,a=a+Math.imul(k,nt)|0,n=n+Math.imul(b,at)|0,i=(i=i+Math.imul(b,ot)|0)+Math.imul(_,at)|0,a=a+Math.imul(_,ot)|0,n=n+Math.imul(v,lt)|0,i=(i=i+Math.imul(v,ct)|0)+Math.imul(y,lt)|0,a=a+Math.imul(y,ct)|0,n=n+Math.imul(d,ht)|0,i=(i=i+Math.imul(d,ft)|0)+Math.imul(g,ht)|0,a=a+Math.imul(g,ft)|0;var Mt=(c+(n=n+Math.imul(h,dt)|0)|0)+((8191&(i=(i=i+Math.imul(h,gt)|0)+Math.imul(f,dt)|0))<<13)|0;c=((a=a+Math.imul(f,gt)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(B,H),i=(i=Math.imul(B,G))+Math.imul(N,H)|0,a=Math.imul(N,G),n=n+Math.imul(D,W)|0,i=(i=i+Math.imul(D,Z)|0)+Math.imul(R,W)|0,a=a+Math.imul(R,Z)|0,n=n+Math.imul(I,J)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(z,J)|0,a=a+Math.imul(z,K)|0,n=n+Math.imul(C,$)|0,i=(i=i+Math.imul(C,tt)|0)+Math.imul(L,$)|0,a=a+Math.imul(L,tt)|0,n=n+Math.imul(A,rt)|0,i=(i=i+Math.imul(A,nt)|0)+Math.imul(S,rt)|0,a=a+Math.imul(S,nt)|0,n=n+Math.imul(T,at)|0,i=(i=i+Math.imul(T,ot)|0)+Math.imul(k,at)|0,a=a+Math.imul(k,ot)|0,n=n+Math.imul(b,lt)|0,i=(i=i+Math.imul(b,ct)|0)+Math.imul(_,lt)|0,a=a+Math.imul(_,ct)|0,n=n+Math.imul(v,ht)|0,i=(i=i+Math.imul(v,ft)|0)+Math.imul(y,ht)|0,a=a+Math.imul(y,ft)|0;var At=(c+(n=n+Math.imul(d,dt)|0)|0)+((8191&(i=(i=i+Math.imul(d,gt)|0)+Math.imul(g,dt)|0))<<13)|0;c=((a=a+Math.imul(g,gt)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(B,W),i=(i=Math.imul(B,Z))+Math.imul(N,W)|0,a=Math.imul(N,Z),n=n+Math.imul(D,J)|0,i=(i=i+Math.imul(D,K)|0)+Math.imul(R,J)|0,a=a+Math.imul(R,K)|0,n=n+Math.imul(I,$)|0,i=(i=i+Math.imul(I,tt)|0)+Math.imul(z,$)|0,a=a+Math.imul(z,tt)|0,n=n+Math.imul(C,rt)|0,i=(i=i+Math.imul(C,nt)|0)+Math.imul(L,rt)|0,a=a+Math.imul(L,nt)|0,n=n+Math.imul(A,at)|0,i=(i=i+Math.imul(A,ot)|0)+Math.imul(S,at)|0,a=a+Math.imul(S,ot)|0,n=n+Math.imul(T,lt)|0,i=(i=i+Math.imul(T,ct)|0)+Math.imul(k,lt)|0,a=a+Math.imul(k,ct)|0,n=n+Math.imul(b,ht)|0,i=(i=i+Math.imul(b,ft)|0)+Math.imul(_,ht)|0,a=a+Math.imul(_,ft)|0;var St=(c+(n=n+Math.imul(v,dt)|0)|0)+((8191&(i=(i=i+Math.imul(v,gt)|0)+Math.imul(y,dt)|0))<<13)|0;c=((a=a+Math.imul(y,gt)|0)+(i>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(B,J),i=(i=Math.imul(B,K))+Math.imul(N,J)|0,a=Math.imul(N,K),n=n+Math.imul(D,$)|0,i=(i=i+Math.imul(D,tt)|0)+Math.imul(R,$)|0,a=a+Math.imul(R,tt)|0,n=n+Math.imul(I,rt)|0,i=(i=i+Math.imul(I,nt)|0)+Math.imul(z,rt)|0,a=a+Math.imul(z,nt)|0,n=n+Math.imul(C,at)|0,i=(i=i+Math.imul(C,ot)|0)+Math.imul(L,at)|0,a=a+Math.imul(L,ot)|0,n=n+Math.imul(A,lt)|0,i=(i=i+Math.imul(A,ct)|0)+Math.imul(S,lt)|0,a=a+Math.imul(S,ct)|0,n=n+Math.imul(T,ht)|0,i=(i=i+Math.imul(T,ft)|0)+Math.imul(k,ht)|0,a=a+Math.imul(k,ft)|0;var Et=(c+(n=n+Math.imul(b,dt)|0)|0)+((8191&(i=(i=i+Math.imul(b,gt)|0)+Math.imul(_,dt)|0))<<13)|0;c=((a=a+Math.imul(_,gt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(B,$),i=(i=Math.imul(B,tt))+Math.imul(N,$)|0,a=Math.imul(N,tt),n=n+Math.imul(D,rt)|0,i=(i=i+Math.imul(D,nt)|0)+Math.imul(R,rt)|0,a=a+Math.imul(R,nt)|0,n=n+Math.imul(I,at)|0,i=(i=i+Math.imul(I,ot)|0)+Math.imul(z,at)|0,a=a+Math.imul(z,ot)|0,n=n+Math.imul(C,lt)|0,i=(i=i+Math.imul(C,ct)|0)+Math.imul(L,lt)|0,a=a+Math.imul(L,ct)|0,n=n+Math.imul(A,ht)|0,i=(i=i+Math.imul(A,ft)|0)+Math.imul(S,ht)|0,a=a+Math.imul(S,ft)|0;var Ct=(c+(n=n+Math.imul(T,dt)|0)|0)+((8191&(i=(i=i+Math.imul(T,gt)|0)+Math.imul(k,dt)|0))<<13)|0;c=((a=a+Math.imul(k,gt)|0)+(i>>>13)|0)+(Ct>>>26)|0,Ct&=67108863,n=Math.imul(B,rt),i=(i=Math.imul(B,nt))+Math.imul(N,rt)|0,a=Math.imul(N,nt),n=n+Math.imul(D,at)|0,i=(i=i+Math.imul(D,ot)|0)+Math.imul(R,at)|0,a=a+Math.imul(R,ot)|0,n=n+Math.imul(I,lt)|0,i=(i=i+Math.imul(I,ct)|0)+Math.imul(z,lt)|0,a=a+Math.imul(z,ct)|0,n=n+Math.imul(C,ht)|0,i=(i=i+Math.imul(C,ft)|0)+Math.imul(L,ht)|0,a=a+Math.imul(L,ft)|0;var Lt=(c+(n=n+Math.imul(A,dt)|0)|0)+((8191&(i=(i=i+Math.imul(A,gt)|0)+Math.imul(S,dt)|0))<<13)|0;c=((a=a+Math.imul(S,gt)|0)+(i>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,n=Math.imul(B,at),i=(i=Math.imul(B,ot))+Math.imul(N,at)|0,a=Math.imul(N,ot),n=n+Math.imul(D,lt)|0,i=(i=i+Math.imul(D,ct)|0)+Math.imul(R,lt)|0,a=a+Math.imul(R,ct)|0,n=n+Math.imul(I,ht)|0,i=(i=i+Math.imul(I,ft)|0)+Math.imul(z,ht)|0,a=a+Math.imul(z,ft)|0;var Pt=(c+(n=n+Math.imul(C,dt)|0)|0)+((8191&(i=(i=i+Math.imul(C,gt)|0)+Math.imul(L,dt)|0))<<13)|0;c=((a=a+Math.imul(L,gt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(B,lt),i=(i=Math.imul(B,ct))+Math.imul(N,lt)|0,a=Math.imul(N,ct),n=n+Math.imul(D,ht)|0,i=(i=i+Math.imul(D,ft)|0)+Math.imul(R,ht)|0,a=a+Math.imul(R,ft)|0;var It=(c+(n=n+Math.imul(I,dt)|0)|0)+((8191&(i=(i=i+Math.imul(I,gt)|0)+Math.imul(z,dt)|0))<<13)|0;c=((a=a+Math.imul(z,gt)|0)+(i>>>13)|0)+(It>>>26)|0,It&=67108863,n=Math.imul(B,ht),i=(i=Math.imul(B,ft))+Math.imul(N,ht)|0,a=Math.imul(N,ft);var zt=(c+(n=n+Math.imul(D,dt)|0)|0)+((8191&(i=(i=i+Math.imul(D,gt)|0)+Math.imul(R,dt)|0))<<13)|0;c=((a=a+Math.imul(R,gt)|0)+(i>>>13)|0)+(zt>>>26)|0,zt&=67108863;var Ot=(c+(n=Math.imul(B,dt))|0)+((8191&(i=(i=Math.imul(B,gt))+Math.imul(N,dt)|0))<<13)|0;return c=((a=Math.imul(N,gt))+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,l[0]=mt,l[1]=vt,l[2]=yt,l[3]=xt,l[4]=bt,l[5]=_t,l[6]=wt,l[7]=Tt,l[8]=kt,l[9]=Mt,l[10]=At,l[11]=St,l[12]=Et,l[13]=Ct,l[14]=Lt,l[15]=Pt,l[16]=It,l[17]=zt,l[18]=Ot,0!==c&&(l[19]=c,r.length++),r};function d(t,e,r){return(new g).mulp(t,e,r)}function g(t,e){this.x=t,this.y=e}Math.imul||(p=f),a.prototype.mulTo=function(t,e){var r=this.length+t.length;return 10===this.length&&10===t.length?p(this,t,e):r<63?f(this,t,e):r<1024?function(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,a=0;a<r.length-1;a++){var o=i;i=0;for(var s=67108863&n,l=Math.min(a,e.length-1),c=Math.max(0,a-t.length+1);c<=l;c++){var u=a-c,h=(0|t.words[u])*(0|e.words[c]),f=67108863&h;s=67108863&(f=f+s|0),i+=(o=(o=o+(h/67108864|0)|0)+(f>>>26)|0)>>>26,o&=67108863}r.words[a]=s,n=o,o=i}return 0!==n?r.words[a]=n:r.length--,r.strip()}(this,t,e):d(this,t,e)},g.prototype.makeRBT=function(t){for(var e=new Array(t),r=a.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},g.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},g.prototype.permute=function(t,e,r,n,i,a){for(var o=0;o<a;o++)n[o]=e[t[o]],i[o]=r[t[o]]},g.prototype.transform=function(t,e,r,n,i,a){this.permute(a,t,e,r,n,i);for(var o=1;o<i;o<<=1)for(var s=o<<1,l=Math.cos(2*Math.PI/s),c=Math.sin(2*Math.PI/s),u=0;u<i;u+=s)for(var h=l,f=c,p=0;p<o;p++){var d=r[u+p],g=n[u+p],m=r[u+p+o],v=n[u+p+o],y=h*m-f*v;v=h*v+f*m,m=y,r[u+p]=d+m,n[u+p]=g+v,r[u+p+o]=d-m,n[u+p+o]=g-v,p!==s&&(y=l*h-c*f,f=l*f+c*h,h=y)}},g.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},g.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},g.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},g.prototype.convert13b=function(t,e,r,i){for(var a=0,o=0;o<e;o++)a+=0|t[o],r[2*o]=8191&a,a>>>=13,r[2*o+1]=8191&a,a>>>=13;for(o=2*e;o<i;++o)r[o]=0;n(0===a),n(0==(-8192&a))},g.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},g.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),a=this.stub(n),o=new Array(n),s=new Array(n),l=new Array(n),c=new Array(n),u=new Array(n),h=new Array(n),f=r.words;f.length=n,this.convert13b(t.words,t.length,o,n),this.convert13b(e.words,e.length,c,n),this.transform(o,a,s,l,n,i),this.transform(c,a,u,h,n,i);for(var p=0;p<n;p++){var d=s[p]*u[p]-l[p]*h[p];l[p]=s[p]*h[p]+l[p]*u[p],s[p]=d}return this.conjugate(s,l,n),this.transform(s,l,f,a,n,i),this.conjugate(f,a,n),this.normalize13b(f,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},a.prototype.mul=function(t){var e=new a(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},a.prototype.mulf=function(t){var e=new a(null);return e.words=new Array(this.length+t.length),d(this,t,e)},a.prototype.imul=function(t){return this.clone().mulTo(t,this)},a.prototype.imuln=function(t){n(\"number\"==typeof t),n(t<67108864);for(var e=0,r=0;r<this.length;r++){var i=(0|this.words[r])*t,a=(67108863&i)+(67108863&e);e>>=26,e+=i/67108864|0,e+=a>>>26,this.words[r]=67108863&a}return 0!==e&&(this.words[r]=e,this.length++),this},a.prototype.muln=function(t){return this.clone().imuln(t)},a.prototype.sqr=function(){return this.mul(this)},a.prototype.isqr=function(){return this.imul(this.clone())},a.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=(t.words[n]&1<<i)>>>i}return e}(t);if(0===e.length)return new a(1);for(var r=this,n=0;n<e.length&&0===e[n];n++,r=r.sqr());if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},a.prototype.iushln=function(t){n(\"number\"==typeof t&&t>=0);var e,r=t%26,i=(t-r)/26,a=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(e=0;e<this.length;e++){var s=this.words[e]&a,l=(0|this.words[e])-s<<r;this.words[e]=l|o,o=s>>>26-r}o&&(this.words[e]=o,this.length++)}if(0!==i){for(e=this.length-1;e>=0;e--)this.words[e+i]=this.words[e];for(e=0;e<i;e++)this.words[e]=0;this.length+=i}return this.strip()},a.prototype.ishln=function(t){return n(0===this.negative),this.iushln(t)},a.prototype.iushrn=function(t,e,r){var i;n(\"number\"==typeof t&&t>=0),i=e?(e-e%26)/26:0;var a=t%26,o=Math.min((t-a)/26,this.length),s=67108863^67108863>>>a<<a,l=r;if(i-=o,i=Math.max(0,i),l){for(var c=0;c<o;c++)l.words[c]=this.words[c];l.length=o}if(0===o);else if(this.length>o)for(this.length-=o,c=0;c<this.length;c++)this.words[c]=this.words[c+o];else this.words[0]=0,this.length=1;var u=0;for(c=this.length-1;c>=0&&(0!==u||c>=i);c--){var h=0|this.words[c];this.words[c]=u<<26-a|h>>>a,u=h&s}return l&&0!==u&&(l.words[l.length++]=u),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},a.prototype.ishrn=function(t,e,r){return n(0===this.negative),this.iushrn(t,e,r)},a.prototype.shln=function(t){return this.clone().ishln(t)},a.prototype.ushln=function(t){return this.clone().iushln(t)},a.prototype.shrn=function(t){return this.clone().ishrn(t)},a.prototype.ushrn=function(t){return this.clone().iushrn(t)},a.prototype.testn=function(t){n(\"number\"==typeof t&&t>=0);var e=t%26,r=(t-e)/26,i=1<<e;return!(this.length<=r)&&!!(this.words[r]&i)},a.prototype.imaskn=function(t){n(\"number\"==typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(n(0===this.negative,\"imaskn works only with positive numbers\"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var i=67108863^67108863>>>e<<e;this.words[this.length-1]&=i}return this.strip()},a.prototype.maskn=function(t){return this.clone().imaskn(t)},a.prototype.iaddn=function(t){return n(\"number\"==typeof t),n(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},a.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},a.prototype.isubn=function(t){if(n(\"number\"==typeof t),n(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},a.prototype.addn=function(t){return this.clone().iaddn(t)},a.prototype.subn=function(t){return this.clone().isubn(t)},a.prototype.iabs=function(){return this.negative=0,this},a.prototype.abs=function(){return this.clone().iabs()},a.prototype._ishlnsubmul=function(t,e,r){var i,a,o=t.length+r;this._expand(o);var s=0;for(i=0;i<t.length;i++){a=(0|this.words[i+r])+s;var l=(0|t.words[i])*e;s=((a-=67108863&l)>>26)-(l/67108864|0),this.words[i+r]=67108863&a}for(;i<this.length-r;i++)s=(a=(0|this.words[i+r])+s)>>26,this.words[i+r]=67108863&a;if(0===s)return this.strip();for(n(-1===s),s=0,i=0;i<this.length;i++)s=(a=-(0|this.words[i])+s)>>26,this.words[i]=67108863&a;return this.negative=1,this.strip()},a.prototype._wordDiv=function(t,e){var r=(this.length,t.length),n=this.clone(),i=t,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var s,l=n.length-i.length;if(\"mod\"!==e){(s=new a(null)).length=l+1,s.words=new Array(s.length);for(var c=0;c<s.length;c++)s.words[c]=0}var u=n.clone()._ishlnsubmul(i,1,l);0===u.negative&&(n=u,s&&(s.words[l]=1));for(var h=l-1;h>=0;h--){var f=67108864*(0|n.words[i.length+h])+(0|n.words[i.length+h-1]);for(f=Math.min(f/o|0,67108863),n._ishlnsubmul(i,f,h);0!==n.negative;)f--,n.negative=0,n._ishlnsubmul(i,1,h),n.isZero()||(n.negative^=1);s&&(s.words[h]=f)}return s&&s.strip(),n.strip(),\"div\"!==e&&0!==r&&n.iushrn(r),{div:s||null,mod:n}},a.prototype.divmod=function(t,e,r){return n(!t.isZero()),this.isZero()?{div:new a(0),mod:new a(0)}:0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,e),\"mod\"!==e&&(i=s.div.neg()),\"div\"!==e&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:i,mod:o}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),e),\"mod\"!==e&&(i=s.div.neg()),{div:i,mod:s.mod}):0!=(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),e),\"div\"!==e&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:s.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new a(0),mod:this}:1===t.length?\"div\"===e?{div:this.divn(t.words[0]),mod:null}:\"mod\"===e?{div:null,mod:new a(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new a(this.modn(t.words[0]))}:this._wordDiv(t,e);var i,o,s},a.prototype.div=function(t){return this.divmod(t,\"div\",!1).div},a.prototype.mod=function(t){return this.divmod(t,\"mod\",!1).mod},a.prototype.umod=function(t){return this.divmod(t,\"mod\",!0).mod},a.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),a=r.cmp(n);return a<0||1===i&&0===a?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},a.prototype.modn=function(t){n(t<=67108863);for(var e=(1<<26)%t,r=0,i=this.length-1;i>=0;i--)r=(e*r+(0|this.words[i]))%t;return r},a.prototype.idivn=function(t){n(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var i=(0|this.words[r])+67108864*e;this.words[r]=i/t|0,e=i%t}return this.strip()},a.prototype.divn=function(t){return this.clone().idivn(t)},a.prototype.egcd=function(t){n(0===t.negative),n(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var i=new a(1),o=new a(0),s=new a(0),l=new a(1),c=0;e.isEven()&&r.isEven();)e.iushrn(1),r.iushrn(1),++c;for(var u=r.clone(),h=e.clone();!e.isZero();){for(var f=0,p=1;0==(e.words[0]&p)&&f<26;++f,p<<=1);if(f>0)for(e.iushrn(f);f-- >0;)(i.isOdd()||o.isOdd())&&(i.iadd(u),o.isub(h)),i.iushrn(1),o.iushrn(1);for(var d=0,g=1;0==(r.words[0]&g)&&d<26;++d,g<<=1);if(d>0)for(r.iushrn(d);d-- >0;)(s.isOdd()||l.isOdd())&&(s.iadd(u),l.isub(h)),s.iushrn(1),l.iushrn(1);e.cmp(r)>=0?(e.isub(r),i.isub(s),o.isub(l)):(r.isub(e),s.isub(i),l.isub(o))}return{a:s,b:l,gcd:r.iushln(c)}},a.prototype._invmp=function(t){n(0===t.negative),n(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var i,o=new a(1),s=new a(0),l=r.clone();e.cmpn(1)>0&&r.cmpn(1)>0;){for(var c=0,u=1;0==(e.words[0]&u)&&c<26;++c,u<<=1);if(c>0)for(e.iushrn(c);c-- >0;)o.isOdd()&&o.iadd(l),o.iushrn(1);for(var h=0,f=1;0==(r.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(r.iushrn(h);h-- >0;)s.isOdd()&&s.iadd(l),s.iushrn(1);e.cmp(r)>=0?(e.isub(r),o.isub(s)):(r.isub(e),s.isub(o))}return(i=0===e.cmpn(1)?o:s).cmpn(0)<0&&i.iadd(t),i},a.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);for(;;){for(;e.isEven();)e.iushrn(1);for(;r.isEven();)r.iushrn(1);var i=e.cmp(r);if(i<0){var a=e;e=r,r=a}else if(0===i||0===r.cmpn(1))break;e.isub(r)}return r.iushln(n)},a.prototype.invm=function(t){return this.egcd(t).a.umod(t)},a.prototype.isEven=function(){return 0==(1&this.words[0])},a.prototype.isOdd=function(){return 1==(1&this.words[0])},a.prototype.andln=function(t){return this.words[0]&t},a.prototype.bincn=function(t){n(\"number\"==typeof t);var e=t%26,r=(t-e)/26,i=1<<e;if(this.length<=r)return this._expand(r+1),this.words[r]|=i,this;for(var a=i,o=r;0!==a&&o<this.length;o++){var s=0|this.words[o];a=(s+=a)>>>26,s&=67108863,this.words[o]=s}return 0!==a&&(this.words[o]=a,this.length++),this},a.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},a.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),n(t<=67108863,\"Number is too big\");var i=0|this.words[0];e=i===t?0:i<t?-1:1}return 0!==this.negative?0|-e:e},a.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},a.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},a.prototype.gtn=function(t){return 1===this.cmpn(t)},a.prototype.gt=function(t){return 1===this.cmp(t)},a.prototype.gten=function(t){return this.cmpn(t)>=0},a.prototype.gte=function(t){return this.cmp(t)>=0},a.prototype.ltn=function(t){return-1===this.cmpn(t)},a.prototype.lt=function(t){return-1===this.cmp(t)},a.prototype.lten=function(t){return this.cmpn(t)<=0},a.prototype.lte=function(t){return this.cmp(t)<=0},a.prototype.eqn=function(t){return 0===this.cmpn(t)},a.prototype.eq=function(t){return 0===this.cmp(t)},a.red=function(t){return new w(t)},a.prototype.toRed=function(t){return n(!this.red,\"Already a number in reduction context\"),n(0===this.negative,\"red works only with positives\"),t.convertTo(this)._forceRed(t)},a.prototype.fromRed=function(){return n(this.red,\"fromRed works only with numbers in reduction context\"),this.red.convertFrom(this)},a.prototype._forceRed=function(t){return this.red=t,this},a.prototype.forceRed=function(t){return n(!this.red,\"Already a number 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numbers\"),this.red._verify1(this),this.red.sqr(this)},a.prototype.redISqr=function(){return n(this.red,\"redISqr works only with red numbers\"),this.red._verify1(this),this.red.isqr(this)},a.prototype.redSqrt=function(){return n(this.red,\"redSqrt works only with red numbers\"),this.red._verify1(this),this.red.sqrt(this)},a.prototype.redInvm=function(){return n(this.red,\"redInvm works only with red numbers\"),this.red._verify1(this),this.red.invm(this)},a.prototype.redNeg=function(){return n(this.red,\"redNeg works only with red numbers\"),this.red._verify1(this),this.red.neg(this)},a.prototype.redPow=function(t){return n(this.red&&!t.red,\"redPow(normalNum)\"),this.red._verify1(this),this.red.pow(this,t)};var m={k256:null,p224:null,p192:null,p25519:null};function v(t,e){this.name=t,this.p=new a(e,16),this.n=this.p.bitLength(),this.k=new a(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function y(){v.call(this,\"k256\",\"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff 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r=t.mul(e),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),o=i;return i.cmp(this.m)>=0?o=i.isub(this.m):i.cmpn(0)<0&&(o=i.iadd(this.m)),o._forceRed(this)},T.prototype.invm=function(t){return this.imod(t._invmp(this.m).mul(this.r2))._forceRed(this)}}(\"undefined\"==typeof e||e,this)},{buffer:108}],100:[function(t,e,r){\"use strict\";e.exports=function(t){var e,r,n,i=t.length,a=0;for(e=0;e<i;++e)a+=t[e].length;var o=new Array(a),s=0;for(e=0;e<i;++e){var l=t[e],c=l.length;for(r=0;r<c;++r){var u=o[s++]=new Array(c-1),h=0;for(n=0;n<c;++n)n!==r&&(u[h++]=l[n]);if(1&r){var f=u[1];u[1]=u[0],u[0]=f}}}return o}},{}],101:[function(t,e,r){\"use strict\";e.exports=function(t,e,r){switch(arguments.length){case 1:return h(t);case 2:return\"function\"==typeof e?c(t,t,e,!0):f(t,e);case 3:return c(t,e,r,!1);default:throw new Error(\"box-intersect: Invalid arguments\")}};var n,i=t(\"typedarray-pool\"),a=t(\"./lib/sweep\"),o=t(\"./lib/intersect\");function 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       "/*!\n",
       " * The buffer module from node.js, for the browser.\n",
       " *\n",
       " * @author   Feross Aboukhadijeh <https://feross.org>\n",
       " * @license  MIT\n",
       " */\n",
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