XGB-SHAP Interface Shear Strength Prediction.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Data-driven explainable XGB-based shear strength prediction\n",
    " created by Ji-Gang Xu, Shi-Zhi Chen, Wei-Jie Xu, Zi-Sen Shen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Specimen NO</th>\n",
       "      <th>fcmax</th>\n",
       "      <th>fcmin</th>\n",
       "      <th>ρ</th>\n",
       "      <th>fy</th>\n",
       "      <th>db</th>\n",
       "      <th>nb</th>\n",
       "      <th>Surface Type</th>\n",
       "      <th>b</th>\n",
       "      <th>h</th>\n",
       "      <th>t-test</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>98.8</td>\n",
       "      <td>98.8</td>\n",
       "      <td>0.00370</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>2</td>\n",
       "      <td>S</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>3.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>83.1</td>\n",
       "      <td>83.1</td>\n",
       "      <td>0.00740</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>4</td>\n",
       "      <td>S</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>5.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>80.9</td>\n",
       "      <td>80.9</td>\n",
       "      <td>0.00366</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>2</td>\n",
       "      <td>R</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>6.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>80.9</td>\n",
       "      <td>80.9</td>\n",
       "      <td>0.00740</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>4</td>\n",
       "      <td>R</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>9.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>86.0</td>\n",
       "      <td>86.0</td>\n",
       "      <td>0.01110</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>6</td>\n",
       "      <td>R</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>12.67</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Specimen NO  fcmax  fcmin        ρ     fy   db  nb Surface Type      b  \\\n",
       "0            1   98.8   98.8  0.00370  572.0  9.5   2            S  127.0   \n",
       "1            2   83.1   83.1  0.00740  572.0  9.5   4            S  127.0   \n",
       "2            3   80.9   80.9  0.00366  572.0  9.5   2            R  127.0   \n",
       "3            4   80.9   80.9  0.00740  572.0  9.5   4            R  127.0   \n",
       "4            5   86.0   86.0  0.01110  572.0  9.5   6            R  127.0   \n",
       "\n",
       "       h  t-test  \n",
       "0  304.8    3.65  \n",
       "1  304.8    5.66  \n",
       "2  304.8    6.20  \n",
       "3  304.8    9.43  \n",
       "4  304.8   12.67  "
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import preprocessing\n",
    "from matplotlib.ticker import MultipleLocator, FormatStrFormatter\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "data1 = pd.read_excel('TestData.xlsx')\n",
    "data1.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(217, 11)\n"
     ]
    }
   ],
   "source": [
    "print(data1.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Description of Database"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['fcmax', 'fcmin', 'ρ', 'fy', 'db', 'nb', 'Surface Type', 'b', 'h',\n",
       "       't-test'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data=data1.loc[:, 'fcmax':'t-test']\n",
    "data.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 217 entries, 0 to 216\n",
      "Data columns (total 10 columns):\n",
      " #   Column        Non-Null Count  Dtype  \n",
      "---  ------        --------------  -----  \n",
      " 0   fcmax         217 non-null    float64\n",
      " 1   fcmin         217 non-null    float64\n",
      " 2   ρ             217 non-null    float64\n",
      " 3   fy            217 non-null    float64\n",
      " 4   db            217 non-null    float64\n",
      " 5   nb            217 non-null    int64  \n",
      " 6   Surface Type  217 non-null    object \n",
      " 7   b             217 non-null    float64\n",
      " 8   h             217 non-null    float64\n",
      " 9   t-test        217 non-null    float64\n",
      "dtypes: float64(8), int64(1), object(1)\n",
      "memory usage: 17.1+ KB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "print(data.info()) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['S' 'R']\n",
      "Surface Type\n",
      "R    131\n",
      "S     86\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# Description of string values in the surface types\n",
    "\n",
    "print (data['Surface Type'].unique())\n",
    "print(data.groupby('Surface Type').size())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fcmax</th>\n",
       "      <th>fcmin</th>\n",
       "      <th>ρ</th>\n",
       "      <th>fy</th>\n",
       "      <th>db</th>\n",
       "      <th>nb</th>\n",
       "      <th>Surface Type</th>\n",
       "      <th>b</th>\n",
       "      <th>h</th>\n",
       "      <th>t-test</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>212</th>\n",
       "      <td>51.9</td>\n",
       "      <td>50.2</td>\n",
       "      <td>0.00171</td>\n",
       "      <td>564.1</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1</td>\n",
       "      <td>R</td>\n",
       "      <td>150.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>51.9</td>\n",
       "      <td>50.2</td>\n",
       "      <td>0.00349</td>\n",
       "      <td>420.2</td>\n",
       "      <td>10.0</td>\n",
       "      <td>1</td>\n",
       "      <td>R</td>\n",
       "      <td>150.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3.51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>51.9</td>\n",
       "      <td>50.2</td>\n",
       "      <td>0.00502</td>\n",
       "      <td>440.2</td>\n",
       "      <td>12.0</td>\n",
       "      <td>1</td>\n",
       "      <td>R</td>\n",
       "      <td>150.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>4.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>51.9</td>\n",
       "      <td>50.2</td>\n",
       "      <td>0.00684</td>\n",
       "      <td>383.8</td>\n",
       "      <td>14.0</td>\n",
       "      <td>1</td>\n",
       "      <td>R</td>\n",
       "      <td>150.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>4.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>51.9</td>\n",
       "      <td>50.2</td>\n",
       "      <td>0.00893</td>\n",
       "      <td>375.5</td>\n",
       "      <td>16.0</td>\n",
       "      <td>1</td>\n",
       "      <td>R</td>\n",
       "      <td>150.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>4.71</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     fcmax  fcmin        ρ     fy    db  nb Surface Type      b      h  t-test\n",
       "212   51.9   50.2  0.00171  564.1   7.0   1            R  150.0  150.0    3.26\n",
       "213   51.9   50.2  0.00349  420.2  10.0   1            R  150.0  150.0    3.51\n",
       "214   51.9   50.2  0.00502  440.2  12.0   1            R  150.0  150.0    4.40\n",
       "215   51.9   50.2  0.00684  383.8  14.0   1            R  150.0  150.0    4.50\n",
       "216   51.9   50.2  0.00893  375.5  16.0   1            R  150.0  150.0    4.71"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fcmax</th>\n",
       "      <th>fcmin</th>\n",
       "      <th>ρ</th>\n",
       "      <th>fy</th>\n",
       "      <th>db</th>\n",
       "      <th>nb</th>\n",
       "      <th>Surface Type</th>\n",
       "      <th>b</th>\n",
       "      <th>h</th>\n",
       "      <th>t-test</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>98.80</td>\n",
       "      <td>98.80</td>\n",
       "      <td>0.00370</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>3.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>83.10</td>\n",
       "      <td>83.10</td>\n",
       "      <td>0.00740</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>5.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>80.90</td>\n",
       "      <td>80.90</td>\n",
       "      <td>0.00366</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>6.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>80.90</td>\n",
       "      <td>80.90</td>\n",
       "      <td>0.00740</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>9.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>86.00</td>\n",
       "      <td>86.00</td>\n",
       "      <td>0.01110</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>12.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>86.00</td>\n",
       "      <td>86.00</td>\n",
       "      <td>0.01480</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>15.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>89.30</td>\n",
       "      <td>89.30</td>\n",
       "      <td>0.01110</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>13.09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>89.30</td>\n",
       "      <td>89.30</td>\n",
       "      <td>0.01480</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>14.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>101.70</td>\n",
       "      <td>101.70</td>\n",
       "      <td>0.00370</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>10.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>101.70</td>\n",
       "      <td>101.70</td>\n",
       "      <td>0.00740</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>11.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>104.90</td>\n",
       "      <td>104.90</td>\n",
       "      <td>0.01110</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>15.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>104.90</td>\n",
       "      <td>104.90</td>\n",
       "      <td>0.01480</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "      <td>17.59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>65.65</td>\n",
       "      <td>56.64</td>\n",
       "      <td>0.00502</td>\n",
       "      <td>446.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>200.0</td>\n",
       "      <td>300.0</td>\n",
       "      <td>4.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>65.65</td>\n",
       "      <td>56.64</td>\n",
       "      <td>0.00502</td>\n",
       "      <td>446.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>200.0</td>\n",
       "      <td>300.0</td>\n",
       "      <td>3.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>65.65</td>\n",
       "      <td>56.64</td>\n",
       "      <td>0.00502</td>\n",
       "      <td>446.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>200.0</td>\n",
       "      <td>300.0</td>\n",
       "      <td>3.53</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     fcmax   fcmin        ρ     fy   db  nb  Surface Type      b      h  \\\n",
       "0    98.80   98.80  0.00370  572.0  9.5   2             1  127.0  304.8   \n",
       "1    83.10   83.10  0.00740  572.0  9.5   4             1  127.0  304.8   \n",
       "2    80.90   80.90  0.00366  572.0  9.5   2             0  127.0  304.8   \n",
       "3    80.90   80.90  0.00740  572.0  9.5   4             0  127.0  304.8   \n",
       "4    86.00   86.00  0.01110  572.0  9.5   6             0  127.0  304.8   \n",
       "5    86.00   86.00  0.01480  572.0  9.5   8             0  127.0  304.8   \n",
       "6    89.30   89.30  0.01110  572.0  9.5   6             0  127.0  304.8   \n",
       "7    89.30   89.30  0.01480  572.0  9.5   8             0  127.0  304.8   \n",
       "8   101.70  101.70  0.00370  572.0  9.5   2             0  127.0  304.8   \n",
       "9   101.70  101.70  0.00740  572.0  9.5   4             0  127.0  304.8   \n",
       "10  104.90  104.90  0.01110  572.0  9.5   6             0  127.0  304.8   \n",
       "11  104.90  104.90  0.01480  572.0  9.5   8             0  127.0  304.8   \n",
       "12   65.65   56.64  0.00502  446.0  8.0   6             1  200.0  300.0   \n",
       "13   65.65   56.64  0.00502  446.0  8.0   6             1  200.0  300.0   \n",
       "14   65.65   56.64  0.00502  446.0  8.0   6             1  200.0  300.0   \n",
       "\n",
       "    t-test  \n",
       "0     3.65  \n",
       "1     5.66  \n",
       "2     6.20  \n",
       "3     9.43  \n",
       "4    12.67  \n",
       "5    15.25  \n",
       "6    13.09  \n",
       "7    14.48  \n",
       "8    10.45  \n",
       "9    11.40  \n",
       "10   15.48  \n",
       "11   17.59  \n",
       "12    4.21  \n",
       "13    3.61  \n",
       "14    3.53  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Encoding string values for Surface type\n",
    "\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "\n",
    "enc = LabelEncoder()\n",
    "data.loc[:,['Surface Type']] = data.loc[:,['Surface Type']].apply(enc.fit_transform)\n",
    "data.head(15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Lets check wheter data is imbalanced\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_style(\"whitegrid\")\n",
    "sns.countplot(x='Surface Type',data=data, palette='hls')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x864 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Examining correlations\n",
    "\n",
    "corr = data.drop(['t-test'], axis=1).corr()\n",
    "plt.figure(figsize=(15, 12))\n",
    "sns.set(font_scale=1.5) \n",
    "sns.heatmap(corr[(corr >= 0.0) | (corr <= -0.0)],\n",
    "            cmap='summer', vmax=1.0, vmin=-1.0, linewidths=0.1, cbar=True, fmt='.3g',\n",
    "            annot=True, annot_kws={\"size\": 15}, square=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Define input and output parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define input parameters\n",
    "X = data.loc[:, ['fcmax','fcmin','ρ','fy','db','nb','Surface Type','b','h']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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>fcmax</th>\n",
       "      <th>fcmin</th>\n",
       "      <th>ρ</th>\n",
       "      <th>fy</th>\n",
       "      <th>db</th>\n",
       "      <th>nb</th>\n",
       "      <th>Surface Type</th>\n",
       "      <th>b</th>\n",
       "      <th>h</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>98.8</td>\n",
       "      <td>98.8</td>\n",
       "      <td>0.00370</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>83.1</td>\n",
       "      <td>83.1</td>\n",
       "      <td>0.00740</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>80.9</td>\n",
       "      <td>80.9</td>\n",
       "      <td>0.00366</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>80.9</td>\n",
       "      <td>80.9</td>\n",
       "      <td>0.00740</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>86.0</td>\n",
       "      <td>86.0</td>\n",
       "      <td>0.01110</td>\n",
       "      <td>572.0</td>\n",
       "      <td>9.5</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>127.0</td>\n",
       "      <td>304.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   fcmax  fcmin        ρ     fy   db  nb  Surface Type      b      h\n",
       "0   98.8   98.8  0.00370  572.0  9.5   2             1  127.0  304.8\n",
       "1   83.1   83.1  0.00740  572.0  9.5   4             1  127.0  304.8\n",
       "2   80.9   80.9  0.00366  572.0  9.5   2             0  127.0  304.8\n",
       "3   80.9   80.9  0.00740  572.0  9.5   4             0  127.0  304.8\n",
       "4   86.0   86.0  0.01110  572.0  9.5   6             0  127.0  304.8"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(217,)\n"
     ]
    }
   ],
   "source": [
    "# Define the output\n",
    "y = data.loc [:, 't-test']\n",
    "\n",
    "print(y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0      3.65\n",
       "1      5.66\n",
       "2      6.20\n",
       "3      9.43\n",
       "4     12.67\n",
       "5     15.25\n",
       "6     13.09\n",
       "7     14.48\n",
       "8     10.45\n",
       "9     11.40\n",
       "10    15.48\n",
       "11    17.59\n",
       "12     4.21\n",
       "13     3.61\n",
       "14     3.53\n",
       "Name: t-test, dtype: float64"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.head(15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "200     2.41\n",
      "37      6.85\n",
      "161     3.93\n",
      "170     3.92\n",
      "101     3.61\n",
      "       ...  \n",
      "157     7.78\n",
      "74      4.95\n",
      "8      10.45\n",
      "40      4.82\n",
      "13      3.61\n",
      "Name: t-test, Length: 66, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# Randomly spliting the database into training-testing sets as 70%-30% \n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.30, random_state=0)\n",
    "\n",
    "print(y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Normalizing the whole data sets\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "scaler = StandardScaler()\n",
    "scaler.fit(X_train)\n",
    "X_train = scaler.transform(X_train)\n",
    "X_test = scaler.transform(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XGB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-fold mean RMSE: 0.9070918131365568\n",
      "GBRT Training R2: 0.9918052508315626 RMSE: 0.24125251295814049 MAE: 0.1334598337261882 MAPE: 0.03682357496328432\n",
      "GBRT Testing R2: 0.9423785054635453 RMSE: 0.6814536752852075 MAE: 0.47175707894744295 MAPE: 0.16021191044323488\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\xusj\\anaconda3\\lib\\site-packages\\xgboost\\data.py:112: UserWarning: Use subset (sliced data) of np.ndarray is not recommended because it will generate extra copies and increase memory consumption\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "import xgboost as xgb\n",
    "from sklearn.model_selection import cross_val_predict\n",
    "from sklearn.model_selection import cross_val_score\n",
    "from sklearn.metrics import r2_score\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.metrics import mean_absolute_error \n",
    "\n",
    "def MAPE(true, pred):\n",
    "    diff = np.abs(np.array(true) - np.array(pred))\n",
    "    return np.mean(diff / true)\n",
    "\n",
    "XGB = xgb.XGBRegressor (n_estimators=100, max_depth=5, learning_rate=0.25, subsample=0.5, gamma=0, random_state=0)\n",
    "scores = cross_val_score (XGB, X_train, y_train, cv=10, scoring='neg_mean_squared_error', n_jobs = -1)\n",
    "print('10-fold mean RMSE:', np.mean(np.sqrt( -scores)))\n",
    "\n",
    "XGB.fit(X_train, y_train)\n",
    "\n",
    "# predicting the results\n",
    "Z7 = XGB.predict(X_train)\n",
    "Z8 = XGB.predict(X_test)\n",
    "\n",
    "print(\"GBRT Training R2:\", r2_score(y_train, Z7), \"RMSE:\", np.sqrt(mean_squared_error(y_train, Z7)), \"MAE:\", mean_absolute_error(y_train, Z7),\"MAPE:\", MAPE(y_train, Z7))\n",
    "print(\"GBRT Testing R2:\", r2_score(y_test, Z8), \"RMSE:\", np.sqrt(mean_squared_error(y_test, Z8)), \"MAE:\", mean_absolute_error(y_test, Z8),\"MAPE:\", MAPE(y_test, Z8))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting the scatter for the training and testing sets\n",
    "xx = np.linspace(-1, 20, 100)\n",
    "yy = xx\n",
    "sns.set_style(\"whitegrid\")\n",
    "sns.set(style=\"ticks\")\n",
    "plt.figure(figsize=(6,4))\n",
    "plt.rcParams['font.sans-serif']=['Times New Roman'] \n",
    "plt.rcParams['xtick.direction'] = 'in'\n",
    "plt.rcParams['ytick.direction'] = 'in'\n",
    "plt.plot(xx, yy, '--',c='grey', linewidth=1.5)\n",
    "plt.scatter(y_train, Z7,marker='o')\n",
    "plt.scatter(y_test, Z8,c='darkorange',marker='s')\n",
    "\n",
    "plt.tick_params (axis='both',labelsize=15)\n",
    "plt.yticks(fontproperties = 'Times New Roman', size = 15)\n",
    "plt.xticks(fontproperties = 'Times New Roman', size = 15)\n",
    "\n",
    "font1 = {'family' : 'Times New Roman', 'weight' : 'normal', 'size' : 20,}\n",
    "plt.axis('tight')\n",
    "plt.xlabel('Tested strength (MPa)', font1)\n",
    "plt.ylabel('Predicted strength (MPa)', font1)\n",
    "plt.xlim([-1,20])\n",
    "plt.ylim([-1,20])\n",
    "plt.legend(['y = x','Training set','Testing set'], loc = 'upper left', prop={'family' : 'Times New Roman', 'weight' : 'normal', 'size' : 14,})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Explain XGB model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "featureName=[r'$f_{cmax}$',r'$f_{cmin}$',r'$\\rho$', r'$f_y$',r'$d_b$', r'$n_b$', r'$Sur_{type}$', r'$b$', r'$h$']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
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n.childContextTypes?u(\"107\",this.getName()||\"ReactCompositeComponent\"):void 0;for(var i in e)i in n.childContextTypes?void 0:u(\"108\",this.getName()||\"ReactCompositeComponent\",i);return c({},t,e)}return t},_checkContextTypes:function(t,e,n){},receiveComponent:function(t,e,n){var r=this._currentElement,i=this._context;this._pendingElement=null,this.updateComponent(e,r,t,i,n)},performUpdateIfNecessary:function(t){null!=this._pendingElement?v.receiveComponent(this,this._pendingElement,t,this._context):null!==this._pendingStateQueue||this._pendingForceUpdate?this.updateComponent(t,this._currentElement,this._currentElement,this._context,this._context):this._updateBatchNumber=null},updateComponent:function(t,e,n,r,i){var o=this._instance;null==o?u(\"136\",this.getName()||\"ReactCompositeComponent\"):void 0;var a,c=!1;this._context===i?a=o.context:(a=this._processContext(i),c=!0);var s=e.props,l=n.props;e!==n&&(c=!0),c&&o.componentWillReceiveProps&&o.componentWillReceiveProps(l,a);var f=this._processPendingState(l,a),p=!0;this._pendingForceUpdate||(o.shouldComponentUpdate?p=o.shouldComponentUpdate(l,f,a):this._compositeType===_.PureClass&&(p=!m(s,l)||!m(o.state,f))),this._updateBatchNumber=null,p?(this._pendingForceUpdate=!1,this._performComponentUpdate(n,l,f,a,t,i)):(this._currentElement=n,this._context=i,o.props=l,o.state=f,o.context=a)},_processPendingState:function(t,e){var n=this._instance,r=this._pendingStateQueue,i=this._pendingReplaceState;if(this._pendingReplaceState=!1,this._pendingStateQueue=null,!r)return n.state;if(i&&1===r.length)return r[0];for(var o=c({},i?r[0]:n.state),a=i?1:0;a<r.length;a++){var u=r[a];c(o,\"function\"==typeof u?u.call(n,o,t,e):u)}return o},_performComponentUpdate:function(t,e,n,r,i,o){var a,u,c,s=this._instance,l=Boolean(s.componentDidUpdate);l&&(a=s.props,u=s.state,c=s.context),s.componentWillUpdate&&s.componentWillUpdate(e,n,r),this._currentElement=t,this._context=o,s.props=e,s.state=n,s.context=r,this._updateRenderedComponent(i,o),l&&i.getReactMountReady().enqueue(s.componentDidUpdate.bind(s,a,u,c),s)},_updateRenderedComponent:function(t,e){var n=this._renderedComponent,r=n._currentElement,i=this._renderValidatedComponent(),o=0;if(y(r,i))v.receiveComponent(n,i,t,this._processChildContext(e));else{var a=v.getHostNode(n);v.unmountComponent(n,!1);var u=d.getType(i);this._renderedNodeType=u;var c=this._instantiateReactComponent(i,u!==d.EMPTY);this._renderedComponent=c;var s=v.mountComponent(c,t,this._hostParent,this._hostContainerInfo,this._processChildContext(e),o);this._replaceNodeWithMarkup(a,s,n)}},_replaceNodeWithMarkup:function(t,e,n){l.replaceNodeWithMarkup(t,e,n)},_renderValidatedComponentWithoutOwnerOrContext:function(){var t,e=this._instance;return t=e.render()},_renderValidatedComponent:function(){var t;if(this._compositeType!==_.StatelessFunctional){f.current=this;try{t=this._renderValidatedComponentWithoutOwnerOrContext()}finally{f.current=null}}else t=this._renderValidatedComponentWithoutOwnerOrContext();return null===t||t===!1||s.isValidElement(t)?void 0:u(\"109\",this.getName()||\"ReactCompositeComponent\"),t},attachRef:function(t,e){var n=this.getPublicInstance();null==n?u(\"110\"):void 0;var r=e.getPublicInstance(),i=n.refs===g?n.refs={}:n.refs;i[t]=r},detachRef:function(t){var e=this.getPublicInstance().refs;delete e[t]},getName:function(){var t=this._currentElement.type,e=this._instance&&this._instance.constructor;return t.displayName||e&&e.displayName||t.name||e&&e.name||null},getPublicInstance:function(){var t=this._instance;return this._compositeType===_.StatelessFunctional?null:t},_instantiateReactComponent:null};t.exports=x},function(t,e,n){\"use strict\";var r=n(4),i=n(358),o=n(163),a=n(24),u=n(11),c=n(371),s=n(387),l=n(167),f=n(395);n(1);i.inject();var p={findDOMNode:s,render:o.render,unmountComponentAtNode:o.unmountComponentAtNode,version:c,unstable_batchedUpdates:u.batchedUpdates,unstable_renderSubtreeIntoContainer:f};\"undefined\"!=typeof __REACT_DEVTOOLS_GLOBAL_HOOK__&&\"function\"==typeof __REACT_DEVTOOLS_GLOBAL_HOOK__.inject&&__REACT_DEVTOOLS_GLOBAL_HOOK__.inject({ComponentTree:{getClosestInstanceFromNode:r.getClosestInstanceFromNode,getNodeFromInstance:function(t){return t._renderedComponent&&(t=l(t)),t?r.getNodeFromInstance(t):null}},Mount:o,Reconciler:a});t.exports=p},function(t,e,n){\"use strict\";function r(t){if(t){var e=t._currentElement._owner||null;if(e){var n=e.getName();if(n)return\" This DOM node was rendered by `\"+n+\"`.\"}}return\"\"}function i(t,e){e&&(G[t._tag]&&(null!=e.children||null!=e.dangerouslySetInnerHTML?v(\"137\",t._tag,t._currentElement._owner?\" Check the render method of \"+t._currentElement._owner.getName()+\".\":\"\"):void 0),null!=e.dangerouslySetInnerHTML&&(null!=e.children?v(\"60\"):void 0,\"object\"==typeof e.dangerouslySetInnerHTML&&V in e.dangerouslySetInnerHTML?void 0:v(\"61\")),null!=e.style&&\"object\"!=typeof e.style?v(\"62\",r(t)):void 0)}function o(t,e,n,r){if(!(r instanceof I)){var i=t._hostContainerInfo,o=i._node&&i._node.nodeType===H,u=o?i._node:i._ownerDocument;F(e,u),r.getReactMountReady().enqueue(a,{inst:t,registrationName:e,listener:n})}}function a(){var t=this;C.putListener(t.inst,t.registrationName,t.listener)}function u(){var t=this;S.postMountWrapper(t)}function c(){var t=this;A.postMountWrapper(t)}function s(){var t=this;P.postMountWrapper(t)}function l(){var t=this;t._rootNodeID?void 0:v(\"63\");var e=U(t);switch(e?void 0:v(\"64\"),t._tag){case\"iframe\":case\"object\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topLoad\",\"load\",e)];break;case\"video\":case\"audio\":t._wrapperState.listeners=[];for(var n in q)q.hasOwnProperty(n)&&t._wrapperState.listeners.push(k.trapBubbledEvent(n,q[n],e));break;case\"source\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topError\",\"error\",e)];break;case\"img\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topError\",\"error\",e),k.trapBubbledEvent(\"topLoad\",\"load\",e)];break;case\"form\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topReset\",\"reset\",e),k.trapBubbledEvent(\"topSubmit\",\"submit\",e)];break;case\"input\":case\"select\":case\"textarea\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topInvalid\",\"invalid\",e)]}}function f(){N.postUpdateWrapper(this)}function p(t){Z.call(X,t)||($.test(t)?void 0:v(\"65\",t),X[t]=!0)}function h(t,e){return t.indexOf(\"-\")>=0||null!=e.is}function d(t){var e=t.type;p(e),this._currentElement=t,this._tag=e.toLowerCase(),this._namespaceURI=null,this._renderedChildren=null,this._previousStyle=null,this._previousStyleCopy=null,this._hostNode=null,this._hostParent=null,this._rootNodeID=0,this._domID=0,this._hostContainerInfo=null,this._wrapperState=null,this._topLevelWrapper=null,this._flags=0}var v=n(2),g=n(3),m=n(332),y=n(334),_=n(20),b=n(82),x=n(21),w=n(156),C=n(22),M=n(83),k=n(51),E=n(157),T=n(4),S=n(351),P=n(352),N=n(158),A=n(355),O=(n(9),n(364)),I=n(369),D=(n(8),n(54)),R=(n(0),n(94),n(80),n(96),n(1),E),L=C.deleteListener,U=T.getNodeFromInstance,F=k.listenTo,j=M.registrationNameModules,B={string:!0,number:!0},W=\"style\",V=\"__html\",z={children:null,dangerouslySetInnerHTML:null,suppressContentEditableWarning:null},H=11,q={topAbort:\"abort\",topCanPlay:\"canplay\",topCanPlayThrough:\"canplaythrough\",topDurationChange:\"durationchange\",topEmptied:\"emptied\",topEncrypted:\"encrypted\",topEnded:\"ended\",topError:\"error\",topLoadedData:\"loadeddata\",topLoadedMetadata:\"loadedmetadata\",topLoadStart:\"loadstart\",topPause:\"pause\",topPlay:\"play\",topPlaying:\"playing\",topProgress:\"progress\",topRateChange:\"ratechange\",topSeeked:\"seeked\",topSeeking:\"seeking\",topStalled:\"stalled\",topSuspend:\"suspend\",topTimeUpdate:\"timeupdate\",topVolumeChange:\"volumechange\",topWaiting:\"waiting\"},Y={area:!0,base:!0,br:!0,col:!0,embed:!0,hr:!0,img:!0,input:!0,keygen:!0,link:!0,meta:!0,param:!0,source:!0,track:!0,wbr:!0},K={listing:!0,pre:!0,textarea:!0},G=g({menuitem:!0},Y),$=/^[a-zA-Z][a-zA-Z:_\\.\\-\\d]*$/,X={},Z={}.hasOwnProperty,Q=1;d.displayName=\"ReactDOMComponent\",d.Mixin={mountComponent:function(t,e,n,r){this._rootNodeID=Q++,this._domID=n._idCounter++,this._hostParent=e,this._hostContainerInfo=n;var o=this._currentElement.props;switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":this._wrapperState={listeners:null},t.getReactMountReady().enqueue(l,this);break;case\"input\":S.mountWrapper(this,o,e),o=S.getHostProps(this,o),t.getReactMountReady().enqueue(l,this);break;case\"option\":P.mountWrapper(this,o,e),o=P.getHostProps(this,o);break;case\"select\":N.mountWrapper(this,o,e),o=N.getHostProps(this,o),t.getReactMountReady().enqueue(l,this);break;case\"textarea\":A.mountWrapper(this,o,e),o=A.getHostProps(this,o),t.getReactMountReady().enqueue(l,this)}i(this,o);var a,f;null!=e?(a=e._namespaceURI,f=e._tag):n._tag&&(a=n._namespaceURI,f=n._tag),(null==a||a===b.svg&&\"foreignobject\"===f)&&(a=b.html),a===b.html&&(\"svg\"===this._tag?a=b.svg:\"math\"===this._tag&&(a=b.mathml)),this._namespaceURI=a;var p;if(t.useCreateElement){var h,d=n._ownerDocument;if(a===b.html)if(\"script\"===this._tag){var v=d.createElement(\"div\"),g=this._currentElement.type;v.innerHTML=\"<\"+g+\"></\"+g+\">\",h=v.removeChild(v.firstChild)}else h=o.is?d.createElement(this._currentElement.type,o.is):d.createElement(this._currentElement.type);else h=d.createElementNS(a,this._currentElement.type);T.precacheNode(this,h),this._flags|=R.hasCachedChildNodes,this._hostParent||w.setAttributeForRoot(h),this._updateDOMProperties(null,o,t);var y=_(h);this._createInitialChildren(t,o,r,y),p=y}else{var x=this._createOpenTagMarkupAndPutListeners(t,o),C=this._createContentMarkup(t,o,r);p=!C&&Y[this._tag]?x+\"/>\":x+\">\"+C+\"</\"+this._currentElement.type+\">\"}switch(this._tag){case\"input\":t.getReactMountReady().enqueue(u,this),o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"textarea\":t.getReactMountReady().enqueue(c,this),o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"select\":o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"button\":o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"option\":t.getReactMountReady().enqueue(s,this)}return p},_createOpenTagMarkupAndPutListeners:function(t,e){var n=\"<\"+this._currentElement.type;for(var r in e)if(e.hasOwnProperty(r)){var i=e[r];if(null!=i)if(j.hasOwnProperty(r))i&&o(this,r,i,t);else{r===W&&(i&&(i=this._previousStyleCopy=g({},e.style)),i=y.createMarkupForStyles(i,this));var a=null;null!=this._tag&&h(this._tag,e)?z.hasOwnProperty(r)||(a=w.createMarkupForCustomAttribute(r,i)):a=w.createMarkupForProperty(r,i),a&&(n+=\" \"+a)}}return t.renderToStaticMarkup?n:(this._hostParent||(n+=\" \"+w.createMarkupForRoot()),n+=\" \"+w.createMarkupForID(this._domID))},_createContentMarkup:function(t,e,n){var r=\"\",i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&(r=i.__html);else{var o=B[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)r=D(o);else if(null!=a){var u=this.mountChildren(a,t,n);r=u.join(\"\")}}return K[this._tag]&&\"\\n\"===r.charAt(0)?\"\\n\"+r:r},_createInitialChildren:function(t,e,n,r){var i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&_.queueHTML(r,i.__html);else{var o=B[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)\"\"!==o&&_.queueText(r,o);else if(null!=a)for(var u=this.mountChildren(a,t,n),c=0;c<u.length;c++)_.queueChild(r,u[c])}},receiveComponent:function(t,e,n){var r=this._currentElement;this._currentElement=t,this.updateComponent(e,r,t,n)},updateComponent:function(t,e,n,r){var o=e.props,a=this._currentElement.props;switch(this._tag){case\"input\":o=S.getHostProps(this,o),a=S.getHostProps(this,a);break;case\"option\":o=P.getHostProps(this,o),a=P.getHostProps(this,a);break;case\"select\":o=N.getHostProps(this,o),a=N.getHostProps(this,a);break;case\"textarea\":o=A.getHostProps(this,o),a=A.getHostProps(this,a)}switch(i(this,a),this._updateDOMProperties(o,a,t),this._updateDOMChildren(o,a,t,r),this._tag){case\"input\":S.updateWrapper(this);break;case\"textarea\":A.updateWrapper(this);break;case\"select\":t.getReactMountReady().enqueue(f,this)}},_updateDOMProperties:function(t,e,n){var r,i,a;for(r in t)if(!e.hasOwnProperty(r)&&t.hasOwnProperty(r)&&null!=t[r])if(r===W){var u=this._previousStyleCopy;for(i in u)u.hasOwnProperty(i)&&(a=a||{},a[i]=\"\");this._previousStyleCopy=null}else j.hasOwnProperty(r)?t[r]&&L(this,r):h(this._tag,t)?z.hasOwnProperty(r)||w.deleteValueForAttribute(U(this),r):(x.properties[r]||x.isCustomAttribute(r))&&w.deleteValueForProperty(U(this),r);for(r in e){var c=e[r],s=r===W?this._previousStyleCopy:null!=t?t[r]:void 0;if(e.hasOwnProperty(r)&&c!==s&&(null!=c||null!=s))if(r===W)if(c?c=this._previousStyleCopy=g({},c):this._previousStyleCopy=null,s){for(i in s)!s.hasOwnProperty(i)||c&&c.hasOwnProperty(i)||(a=a||{},a[i]=\"\");for(i in c)c.hasOwnProperty(i)&&s[i]!==c[i]&&(a=a||{},a[i]=c[i])}else a=c;else if(j.hasOwnProperty(r))c?o(this,r,c,n):s&&L(this,r);else if(h(this._tag,e))z.hasOwnProperty(r)||w.setValueForAttribute(U(this),r,c);else if(x.properties[r]||x.isCustomAttribute(r)){var l=U(this);null!=c?w.setValueForProperty(l,r,c):w.deleteValueForProperty(l,r)}}a&&y.setValueForStyles(U(this),a,this)},_updateDOMChildren:function(t,e,n,r){var i=B[typeof t.children]?t.children:null,o=B[typeof e.children]?e.children:null,a=t.dangerouslySetInnerHTML&&t.dangerouslySetInnerHTML.__html,u=e.dangerouslySetInnerHTML&&e.dangerouslySetInnerHTML.__html,c=null!=i?null:t.children,s=null!=o?null:e.children,l=null!=i||null!=a,f=null!=o||null!=u;null!=c&&null==s?this.updateChildren(null,n,r):l&&!f&&this.updateTextContent(\"\"),null!=o?i!==o&&this.updateTextContent(\"\"+o):null!=u?a!==u&&this.updateMarkup(\"\"+u):null!=s&&this.updateChildren(s,n,r)},getHostNode:function(){return U(this)},unmountComponent:function(t){switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":var e=this._wrapperState.listeners;if(e)for(var n=0;n<e.length;n++)e[n].remove();break;case\"html\":case\"head\":case\"body\":v(\"66\",this._tag)}this.unmountChildren(t),T.uncacheNode(this),C.deleteAllListeners(this),this._rootNodeID=0,this._domID=0,this._wrapperState=null},getPublicInstance:function(){return U(this)}},g(d.prototype,d.Mixin,O.Mixin),t.exports=d},function(t,e,n){\"use strict\";function r(t,e){var n={_topLevelWrapper:t,_idCounter:1,_ownerDocument:e?e.nodeType===i?e:e.ownerDocument:null,_node:e,_tag:e?e.nodeName.toLowerCase():null,_namespaceURI:e?e.namespaceURI:null};return n}var i=(n(96),9);t.exports=r},function(t,e,n){\"use strict\";var r=n(3),i=n(20),o=n(4),a=function(t){this._currentElement=null,this._hostNode=null,this._hostParent=null,this._hostContainerInfo=null,this._domID=0};r(a.prototype,{mountComponent:function(t,e,n,r){var a=n._idCounter++;this._domID=a,this._hostParent=e,this._hostContainerInfo=n;var u=\" react-empty: \"+this._domID+\" \";if(t.useCreateElement){var c=n._ownerDocument,s=c.createComment(u);return o.precacheNode(this,s),i(s)}return t.renderToStaticMarkup?\"\":\"<!--\"+u+\"-->\"},receiveComponent:function(){},getHostNode:function(){return o.getNodeFromInstance(this)},unmountComponent:function(){o.uncacheNode(this)}}),t.exports=a},function(t,e,n){\"use strict\";var r={useCreateElement:!0,useFiber:!1};t.exports=r},function(t,e,n){\"use strict\";var r=n(81),i=n(4),o={dangerouslyProcessChildrenUpdates:function(t,e){var n=i.getNodeFromInstance(t);r.processUpdates(n,e)}};t.exports=o},function(t,e,n){\"use strict\";function r(){this._rootNodeID&&f.updateWrapper(this)}function i(t){var e=this._currentElement.props,n=c.executeOnChange(e,t);l.asap(r,this);var i=e.name;if(\"radio\"===e.type&&null!=i){for(var a=s.getNodeFromInstance(this),u=a;u.parentNode;)u=u.parentNode;for(var f=u.querySelectorAll(\"input[name=\"+JSON.stringify(\"\"+i)+'][type=\"radio\"]'),p=0;p<f.length;p++){var h=f[p];if(h!==a&&h.form===a.form){var d=s.getInstanceFromNode(h);d?void 0:o(\"90\"),l.asap(r,d)}}}return n}var o=n(2),a=n(3),u=n(156),c=n(85),s=n(4),l=n(11),f=(n(0),n(1),{getHostProps:function(t,e){var n=c.getValue(e),r=c.getChecked(e),i=a({type:void 0,step:void 0,min:void 0,max:void 0},e,{defaultChecked:void 0,defaultValue:void 0,value:null!=n?n:t._wrapperState.initialValue,checked:null!=r?r:t._wrapperState.initialChecked,onChange:t._wrapperState.onChange});return i},mountWrapper:function(t,e){var n=e.defaultValue;t._wrapperState={initialChecked:null!=e.checked?e.checked:e.defaultChecked,initialValue:null!=e.value?e.value:n,listeners:null,onChange:i.bind(t)}},updateWrapper:function(t){var e=t._currentElement.props,n=e.checked;null!=n&&u.setValueForProperty(s.getNodeFromInstance(t),\"checked\",n||!1);var r=s.getNodeFromInstance(t),i=c.getValue(e);if(null!=i){var o=\"\"+i;o!==r.value&&(r.value=o)}else null==e.value&&null!=e.defaultValue&&r.defaultValue!==\"\"+e.defaultValue&&(r.defaultValue=\"\"+e.defaultValue),null==e.checked&&null!=e.defaultChecked&&(r.defaultChecked=!!e.defaultChecked)},postMountWrapper:function(t){var e=t._currentElement.props,n=s.getNodeFromInstance(t);switch(e.type){case\"submit\":case\"reset\":break;case\"color\":case\"date\":case\"datetime\":case\"datetime-local\":case\"month\":case\"time\":case\"week\":n.value=\"\",n.value=n.defaultValue;break;default:n.value=n.value}var r=n.name;\"\"!==r&&(n.name=\"\"),n.defaultChecked=!n.defaultChecked,n.defaultChecked=!n.defaultChecked,\"\"!==r&&(n.name=r)}});t.exports=f},function(t,e,n){\"use strict\";function r(t){var e=\"\";return o.Children.forEach(t,function(t){null!=t&&(\"string\"==typeof t||\"number\"==typeof t?e+=t:c||(c=!0))}),e}var i=n(3),o=n(26),a=n(4),u=n(158),c=(n(1),!1),s={mountWrapper:function(t,e,n){var i=null;if(null!=n){var o=n;\"optgroup\"===o._tag&&(o=o._hostParent),null!=o&&\"select\"===o._tag&&(i=u.getSelectValueContext(o))}var a=null;if(null!=i){var c;if(c=null!=e.value?e.value+\"\":r(e.children),a=!1,Array.isArray(i)){for(var s=0;s<i.length;s++)if(\"\"+i[s]===c){a=!0;break}}else a=\"\"+i===c}t._wrapperState={selected:a}},postMountWrapper:function(t){var e=t._currentElement.props;if(null!=e.value){var n=a.getNodeFromInstance(t);n.setAttribute(\"value\",e.value)}},getHostProps:function(t,e){var n=i({selected:void 0,children:void 0},e);null!=t._wrapperState.selected&&(n.selected=t._wrapperState.selected);var o=r(e.children);return o&&(n.children=o),n}};t.exports=s},function(t,e,n){\"use strict\";function r(t,e,n,r){return t===n&&e===r}function i(t){var e=document.selection,n=e.createRange(),r=n.text.length,i=n.duplicate();i.moveToElementText(t),i.setEndPoint(\"EndToStart\",n);var o=i.text.length,a=o+r;return{start:o,end:a}}function o(t){var e=window.getSelection&&window.getSelection();if(!e||0===e.rangeCount)return null;var n=e.anchorNode,i=e.anchorOffset,o=e.focusNode,a=e.focusOffset,u=e.getRangeAt(0);try{u.startContainer.nodeType,u.endContainer.nodeType}catch(t){return null}var c=r(e.anchorNode,e.anchorOffset,e.focusNode,e.focusOffset),s=c?0:u.toString().length,l=u.cloneRange();l.selectNodeContents(t),l.setEnd(u.startContainer,u.startOffset);var f=r(l.startContainer,l.startOffset,l.endContainer,l.endOffset),p=f?0:l.toString().length,h=p+s,d=document.createRange();d.setStart(n,i),d.setEnd(o,a);var v=d.collapsed;return{start:v?h:p,end:v?p:h}}function a(t,e){var n,r,i=document.selection.createRange().duplicate();void 0===e.end?(n=e.start,r=n):e.start>e.end?(n=e.end,r=e.start):(n=e.start,r=e.end),i.moveToElementText(t),i.moveStart(\"character\",n),i.setEndPoint(\"EndToStart\",i),i.moveEnd(\"character\",r-n),i.select()}function u(t,e){if(window.getSelection){var n=window.getSelection(),r=t[l()].length,i=Math.min(e.start,r),o=void 0===e.end?i:Math.min(e.end,r);if(!n.extend&&i>o){var a=o;o=i,i=a}var u=s(t,i),c=s(t,o);if(u&&c){var f=document.createRange();f.setStart(u.node,u.offset),n.removeAllRanges(),i>o?(n.addRange(f),n.extend(c.node,c.offset)):(f.setEnd(c.node,c.offset),n.addRange(f))}}}var c=n(6),s=n(392),l=n(168),f=c.canUseDOM&&\"selection\"in document&&!(\"getSelection\"in window),p={getOffsets:f?i:o,setOffsets:f?a:u};t.exports=p},function(t,e,n){\"use strict\";var r=n(2),i=n(3),o=n(81),a=n(20),u=n(4),c=n(54),s=(n(0),n(96),function(t){this._currentElement=t,this._stringText=\"\"+t,this._hostNode=null,this._hostParent=null,this._domID=0,this._mountIndex=0,this._closingComment=null,this._commentNodes=null});i(s.prototype,{mountComponent:function(t,e,n,r){var i=n._idCounter++,o=\" react-text: \"+i+\" \",s=\" /react-text \";if(this._domID=i,this._hostParent=e,t.useCreateElement){var l=n._ownerDocument,f=l.createComment(o),p=l.createComment(s),h=a(l.createDocumentFragment());return a.queueChild(h,a(f)),this._stringText&&a.queueChild(h,a(l.createTextNode(this._stringText))),a.queueChild(h,a(p)),u.precacheNode(this,f),this._closingComment=p,h}var d=c(this._stringText);return t.renderToStaticMarkup?d:\"<!--\"+o+\"-->\"+d+\"<!--\"+s+\"-->\"},receiveComponent:function(t,e){if(t!==this._currentElement){this._currentElement=t;var n=\"\"+t;if(n!==this._stringText){this._stringText=n;var r=this.getHostNode();o.replaceDelimitedText(r[0],r[1],n)}}},getHostNode:function(){var t=this._commentNodes;if(t)return t;if(!this._closingComment)for(var e=u.getNodeFromInstance(this),n=e.nextSibling;;){if(null==n?r(\"67\",this._domID):void 0,8===n.nodeType&&\" /react-text \"===n.nodeValue){this._closingComment=n;break}n=n.nextSibling}return t=[this._hostNode,this._closingComment],this._commentNodes=t,t},unmountComponent:function(){this._closingComment=null,this._commentNodes=null,u.uncacheNode(this)}}),t.exports=s},function(t,e,n){\"use strict\";function r(){this._rootNodeID&&l.updateWrapper(this)}function i(t){var e=this._currentElement.props,n=u.executeOnChange(e,t);return s.asap(r,this),n}var o=n(2),a=n(3),u=n(85),c=n(4),s=n(11),l=(n(0),n(1),{getHostProps:function(t,e){null!=e.dangerouslySetInnerHTML?o(\"91\"):void 0;var n=a({},e,{value:void 0,defaultValue:void 0,children:\"\"+t._wrapperState.initialValue,onChange:t._wrapperState.onChange});return n},mountWrapper:function(t,e){var n=u.getValue(e),r=n;if(null==n){var a=e.defaultValue,c=e.children;null!=c&&(null!=a?o(\"92\"):void 0,Array.isArray(c)&&(c.length<=1?void 0:o(\"93\"),c=c[0]),a=\"\"+c),null==a&&(a=\"\"),r=a}t._wrapperState={initialValue:\"\"+r,listeners:null,onChange:i.bind(t)}},updateWrapper:function(t){var e=t._currentElement.props,n=c.getNodeFromInstance(t),r=u.getValue(e);if(null!=r){var i=\"\"+r;i!==n.value&&(n.value=i),null==e.defaultValue&&(n.defaultValue=i)}null!=e.defaultValue&&(n.defaultValue=e.defaultValue)},postMountWrapper:function(t){var e=c.getNodeFromInstance(t),n=e.textContent;\n",
       "n===t._wrapperState.initialValue&&(e.value=n)}});t.exports=l},function(t,e,n){\"use strict\";function r(t,e){\"_hostNode\"in t?void 0:c(\"33\"),\"_hostNode\"in e?void 0:c(\"33\");for(var n=0,r=t;r;r=r._hostParent)n++;for(var i=0,o=e;o;o=o._hostParent)i++;for(;n-i>0;)t=t._hostParent,n--;for(;i-n>0;)e=e._hostParent,i--;for(var a=n;a--;){if(t===e)return t;t=t._hostParent,e=e._hostParent}return null}function i(t,e){\"_hostNode\"in t?void 0:c(\"35\"),\"_hostNode\"in e?void 0:c(\"35\");for(;e;){if(e===t)return!0;e=e._hostParent}return!1}function o(t){return\"_hostNode\"in t?void 0:c(\"36\"),t._hostParent}function a(t,e,n){for(var r=[];t;)r.push(t),t=t._hostParent;var i;for(i=r.length;i-- >0;)e(r[i],\"captured\",n);for(i=0;i<r.length;i++)e(r[i],\"bubbled\",n)}function u(t,e,n,i,o){for(var a=t&&e?r(t,e):null,u=[];t&&t!==a;)u.push(t),t=t._hostParent;for(var c=[];e&&e!==a;)c.push(e),e=e._hostParent;var s;for(s=0;s<u.length;s++)n(u[s],\"bubbled\",i);for(s=c.length;s-- 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r(){C||(C=!0,y.EventEmitter.injectReactEventListener(m),y.EventPluginHub.injectEventPluginOrder(u),y.EventPluginUtils.injectComponentTree(p),y.EventPluginUtils.injectTreeTraversal(d),y.EventPluginHub.injectEventPluginsByName({SimpleEventPlugin:w,EnterLeaveEventPlugin:c,ChangeEventPlugin:a,SelectEventPlugin:x,BeforeInputEventPlugin:o}),y.HostComponent.injectGenericComponentClass(f),y.HostComponent.injectTextComponentClass(v),y.DOMProperty.injectDOMPropertyConfig(i),y.DOMProperty.injectDOMPropertyConfig(s),y.DOMProperty.injectDOMPropertyConfig(b),y.EmptyComponent.injectEmptyComponentFactory(function(t){return new h(t)}),y.Updates.injectReconcileTransaction(_),y.Updates.injectBatchingStrategy(g),y.Component.injectEnvironment(l))}var i=n(331),o=n(333),a=n(335),u=n(337),c=n(338),s=n(341),l=n(343),f=n(346),p=n(4),h=n(348),d=n(356),v=n(354),g=n(357),m=n(361),y=n(362),_=n(367),b=n(372),x=n(373),w=n(374),C=!1;t.exports={inject:r}},function(t,e,n){\"use strict\";var r=\"function\"==typeof 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v={_enabled:!0,_handleTopLevel:null,WINDOW_HANDLE:s.canUseDOM?window:null,setHandleTopLevel:function(t){v._handleTopLevel=t},setEnabled:function(t){v._enabled=!!t},isEnabled:function(){return v._enabled},trapBubbledEvent:function(t,e,n){return n?c.listen(n,e,v.dispatchEvent.bind(null,t)):null},trapCapturedEvent:function(t,e,n){return n?c.capture(n,e,v.dispatchEvent.bind(null,t)):null},monitorScrollValue:function(t){var e=a.bind(null,t);c.listen(window,\"scroll\",e)},dispatchEvent:function(t,e){if(v._enabled){var n=i.getPooled(t,e);try{p.batchedUpdates(o,n)}finally{i.release(n)}}}};t.exports=v},function(t,e,n){\"use strict\";var r=n(21),i=n(22),o=n(50),a=n(86),u=n(159),c=n(51),s=n(161),l=n(11),f={Component:a.injection,DOMProperty:r.injection,EmptyComponent:u.injection,EventPluginHub:i.injection,EventPluginUtils:o.injection,EventEmitter:c.injection,HostComponent:s.injection,Updates:l.injection};t.exports=f},function(t,e,n){\"use strict\";var r=n(385),i=/\\/?>/,o=/^<\\!\\-\\-/,a={CHECKSUM_ATTR_NAME:\"data-react-checksum\",addChecksumToMarkup:function(t){var e=r(t);return o.test(t)?t:t.replace(i,\" \"+a.CHECKSUM_ATTR_NAME+'=\"'+e+'\"$&')},canReuseMarkup:function(t,e){var n=e.getAttribute(a.CHECKSUM_ATTR_NAME);n=n&&parseInt(n,10);var i=r(t);return i===n}};t.exports=a},function(t,e,n){\"use strict\";function r(t,e,n){return{type:\"INSERT_MARKUP\",content:t,fromIndex:null,fromNode:null,toIndex:n,afterNode:e}}function i(t,e,n){return{type:\"MOVE_EXISTING\",content:null,fromIndex:t._mountIndex,fromNode:p.getHostNode(t),toIndex:n,afterNode:e}}function o(t,e){return{type:\"REMOVE_NODE\",content:null,fromIndex:t._mountIndex,fromNode:e,toIndex:null,afterNode:null}}function a(t){return{type:\"SET_MARKUP\",content:t,fromIndex:null,fromNode:null,toIndex:null,afterNode:null}}function u(t){return{type:\"TEXT_CONTENT\",content:t,fromIndex:null,fromNode:null,toIndex:null,afterNode:null}}function c(t,e){return e&&(t=t||[],t.push(e)),t}function s(t,e){f.processChildrenUpdates(t,e)}var l=n(2),f=n(86),p=(n(40),n(9),n(15),n(24)),h=n(342),d=(n(8),n(388)),v=(n(0),{Mixin:{_reconcilerInstantiateChildren:function(t,e,n){return h.instantiateChildren(t,e,n)},_reconcilerUpdateChildren:function(t,e,n,r,i,o){var a,u=0;return a=d(e,u),h.updateChildren(t,a,n,r,i,this,this._hostContainerInfo,o,u),a},mountChildren:function(t,e,n){var r=this._reconcilerInstantiateChildren(t,e,n);this._renderedChildren=r;var i=[],o=0;for(var a in r)if(r.hasOwnProperty(a)){var u=r[a],c=0,s=p.mountComponent(u,e,this,this._hostContainerInfo,n,c);u._mountIndex=o++,i.push(s)}return i},updateTextContent:function(t){var e=this._renderedChildren;h.unmountChildren(e,!1);for(var n in e)e.hasOwnProperty(n)&&l(\"118\");var r=[u(t)];s(this,r)},updateMarkup:function(t){var e=this._renderedChildren;h.unmountChildren(e,!1);for(var n in e)e.hasOwnProperty(n)&&l(\"118\");var r=[a(t)];s(this,r)},updateChildren:function(t,e,n){this._updateChildren(t,e,n)},_updateChildren:function(t,e,n){var r=this._renderedChildren,i={},o=[],a=this._reconcilerUpdateChildren(r,t,o,i,e,n);if(a||r){var u,l=null,f=0,h=0,d=0,v=null;for(u in a)if(a.hasOwnProperty(u)){var g=r&&r[u],m=a[u];g===m?(l=c(l,this.moveChild(g,v,f,h)),h=Math.max(g._mountIndex,h),g._mountIndex=f):(g&&(h=Math.max(g._mountIndex,h)),l=c(l,this._mountChildAtIndex(m,o[d],v,f,e,n)),d++),f++,v=p.getHostNode(m)}for(u in i)i.hasOwnProperty(u)&&(l=c(l,this._unmountChild(r[u],i[u])));l&&s(this,l),this._renderedChildren=a}},unmountChildren:function(t){var e=this._renderedChildren;h.unmountChildren(e,t),this._renderedChildren=null},moveChild:function(t,e,n,r){if(t._mountIndex<r)return i(t,e,n)},createChild:function(t,e,n){return r(n,e,t._mountIndex)},removeChild:function(t,e){return o(t,e)},_mountChildAtIndex:function(t,e,n,r,i,o){return t._mountIndex=r,this.createChild(t,n,e)},_unmountChild:function(t,e){var n=this.removeChild(t,e);return t._mountIndex=null,n}}});t.exports=v},function(t,e,n){\"use strict\";function r(t){return!(!t||\"function\"!=typeof t.attachRef||\"function\"!=typeof t.detachRef)}var i=n(2),o=(n(0),{addComponentAsRefTo:function(t,e,n){r(n)?void 0:i(\"119\"),n.attachRef(e,t)},removeComponentAsRefFrom:function(t,e,n){r(n)?void 0:i(\"120\");var o=n.getPublicInstance();o&&o.refs[e]===t.getPublicInstance()&&n.detachRef(e)}});t.exports=o},function(t,e,n){\"use strict\";var r=\"SECRET_DO_NOT_PASS_THIS_OR_YOU_WILL_BE_FIRED\";t.exports=r},function(t,e,n){\"use strict\";function r(t){this.reinitializeTransaction(),this.renderToStaticMarkup=!1,this.reactMountReady=o.getPooled(null),this.useCreateElement=t}var i=n(3),o=n(155),a=n(17),u=n(51),c=n(162),s=(n(9),n(53)),l=n(88),f={initialize:c.getSelectionInformation,close:c.restoreSelection},p={initialize:function(){var t=u.isEnabled();return u.setEnabled(!1),t},close:function(t){u.setEnabled(t)}},h={initialize:function(){this.reactMountReady.reset()},close:function(){this.reactMountReady.notifyAll()}},d=[f,p,h],v={getTransactionWrappers:function(){return d},getReactMountReady:function(){return this.reactMountReady},getUpdateQueue:function(){return l},checkpoint:function(){return this.reactMountReady.checkpoint()},rollback:function(t){this.reactMountReady.rollback(t)},destructor:function(){o.release(this.reactMountReady),this.reactMountReady=null}};i(r.prototype,s,v),a.addPoolingTo(r),t.exports=r},function(t,e,n){\"use strict\";function r(t,e,n){\"function\"==typeof t?t(e.getPublicInstance()):o.addComponentAsRefTo(e,t,n)}function i(t,e,n){\"function\"==typeof t?t(null):o.removeComponentAsRefFrom(e,t,n)}var o=n(365),a={};a.attachRefs=function(t,e){if(null!==e&&\"object\"==typeof e){var n=e.ref;null!=n&&r(n,t,e._owner)}},a.shouldUpdateRefs=function(t,e){var n=null,r=null;null!==t&&\"object\"==typeof 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\n",
      "text/plain": [
       "<Figure size 576x367.2 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import shap\n",
    "plt.style.use('seaborn-ticks')\n",
    "plt.rcParams[\"font.family\"] = \"Times New Roman\" \n",
    "shap.initjs()\n",
    "X_shap = scaler.transform(X)\n",
    "X_shap = pd.DataFrame(X_shap, columns = X.columns)\n",
    "explainer = shap.TreeExplainer(XGB)\n",
    "shap_values = explainer.shap_values(X_shap)\n",
    "shap.summary_plot(shap_values, X_shap,feature_names= featureName,show=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x367.2 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.summary_plot(shap_values, X_shap, feature_names=featureName, show=False,plot_type=\"bar\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "force=shap.force_plot(explainer.expected_value, shap_values[42,:], X.iloc[42,:], feature_names=featureName, matplotlib = True,show=False) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5ubkaMmSI3nrrLR04cOCkbWbNmqXk5OSWOWq8xcTE6Prrr9fgwYODUVwAiDgEagAAAIBO7N1339XcuXP10ksvybIsVVZWtiyz/YMf/EB33323du/erQsvvFBvvfWWJKm8vFzdu3fX/PnzJUk33nij7rjjDuXn50uS9u7dqzvuuCM0bwgAOjmGPgEATtI8eWRiYmKISwIAOFPZ2dmKj4/XL3/5Sy1dulTTp0/X7373OxUWFiorK0ujR49WWlqaunTponvuuUdLly5Vbm6unn76aSUnJ0uSRo0apcWLF+uyyy7TvHnzNGPGDE2dOjXE7wwAOieHZVlWqAsBALCXiooKSVJKSkqISwIAAABEFoY+AQAAAAAA2ASBGgAAAAAAAJsgUAMAAAAAAGATBGoAAAAAAABsgkANAAAAAACATRCoAQAAAAAAsAkCNSHkcrn00EMP6dprr9Utt9yiurq6lvssy9Ill1yi888/X7Nnz9bYsWN14MABSdJ7772n6dOna/r06Vq2bFmoih9RampqNG/ePB06dKjV7R9//LGeeuopPfXUU8rLy5MkNTQ06NFHH9WSJUv01FNPhaK4Eam9Nnr44Yd12WWX6fLLL9fu3btbbudzFFzttY8k3XTTTZo+fbquvvpqNTY28hkKkbbaiH2RfRQWFmrWrFmaPn26HnjggVb3sS+yh47aiH2RPXTURhL7Iztor43YH9nHmjVrtGzZspb9TTP2RX5mIWQOHjxoVVRUWJZlWTfeeKO1Y8eOlvv2799vHThwoOX6T37yE8uyLMvtdluPPPKI5Xa7g1vYCPePf/zDuuqqq6yDBw+23FZbW2tdccUVltvtturq6qzrrrvOcrvd1tNPP20tWrTIsizLWrBggbV8+fJQFTuitNVG27dvb/lcPfvss9btt99uWRafI1+Ul5db5eXlfnu+ttrHsixr+fLl1saNG1vdxmcoNNpqI/ZF9rFgwQKrqqrqpNvZF9lHe20Ubvsif3//20l7bWRZ7I/sor02Yn9kD4sXL7ZeeOGFk25nX+R/ZNSEUO/evZWcnKyamhqNHz9eQ4YMabkvJydHffr0kSRt27ZNubm5kqS8vDytXr1a5513nl599dWQlDvSLF26VHPmzFFcXFyr2z/99FNlZGTI4XAoNjZWNTU1OnLkiJYvX97Slrm5uVq5cmUoih1R2mujYcOGtbTF2LFj1a1bN0l8joKtvfaRzNmX22+/Xd///vdVWFgoSXyGQqC9NmJfZA+1tbVau3atZs+erT/84Q9yuVwt97EvsoeO2oh9kT101EYS+yM76KiN2B+FXkFBgRYsWCCn06n77rtPW7dubbmPfZH/EagJscrKSv35z3/WCy+8cFL6WLM333xTF198sSTTwV9++WUtXLhQCxYs0IYNG4JZ3Iizbt065eTkqGfPnifdV1hYqLS0tJbrcXFxKigoaHV7820InI7ayNuaNWt00003SeJzFEynap+f/exnevfdd5Wbm6t77rlHkvgMBZmvnyH2RaETHx+vhQsX6q233tLu3bv197//veU+9kX20FEbeWNfFDqnaiP2R6Hn6+eI/VForFq1StOmTdP8+fM1b948ffe735Xb7ZbEvigQCNSEWHJysu6991796Ec/0qJFi06637IslZSUKDMzs9Xt/fr10x133KEtW7YEq6gR6V//+pceffRR3XDDDdq+fbvuvvtuFRcXS5KysrJUW1vbsm1VVZUyMzOVmZnZcntVVZW6dOkSkrJHio7aqFleXp5Gjhyp3r17t7qdz1Hg+dI+UVFRuu2221RZWSlJfIaCzJc2Yl9kDykpKbr//vu1efPmltvYF9lLW23UjH2RPXTURuyP7KGjNmJ/FDrl5eVKTk6WJE2aNEm1tbUqLS2VxL4oEAjU2ET//v01cOBAlZeXq6GhoeX2tWvXasKECS3Xm6OWklRRUaEpU6YEtZyR5k9/+pOeeeYZPfPMM8rNzdUjjzyi6OhoNTQ0aNy4cTp27Jgkqb6+XtHR0crJydEFF1ygbdu2SZJ27Nihr3zlK6F8C51eR20kSTt37lRFRYXOOeccVVZWqqqqis9REJ2qfZrboq6uTuPHj5ckPkNBdqo2ktgX2YFlWZKkoqIizZw5s+X3Avsi+2ivjST2RXbRURuxP7KHjtpIYn8UShMnTmwJhDU2NqpXr14cFwVQdKgLEMnWrFmjf/7zn5ozZ44cDoeuvvpq/fa3v9WECRM0Z84cSdKKFSt05513tjzmiSee0Nq1azVjxgyNGDGi1bw2CI7HHnuspY1uv/12PfXUU3K73XrwwQclSdddd50effRRvfTSS4qNjdVFF10U4hJHnuY2ysrK0r333qv09HRJksPh0OLFi7VgwQI+RyHU3D6TJk3S9ddfrylTpqh///763ve+J4nPkB14f89J7ItCbc2aNXrooYd0wQUXKCcnR1dffbXuv/9+9kU20lEbsS+yh47aiP2RPZzqu05ifxRKo0eP1rRp07Rw4ULFxcXp17/+NcdFAeSwmsOWAAA0qaiokGTSjwEAkYPvfwAIPYY+AQAAAAAA2ASBGgAAAAAAAJsgUAMAAAAAAGATBGoAAAAAAABsgkCNzZWXl+vxxx9XeXl5qIuCNtA+9kcb2R9tZH+0kb3RPvZHG9kfbWR/tJG90T7+RaDG5srLy/WXv/yFDm9TtI/90Ub2RxvZH21kb7SP/dFG9kcb2R9tZG+0j38RqAEAAAAAALAJAjUAAAAAAAA2QaAGAAAAAADAJqLbu8Plcuno0aPBLAva0NwGtIU90T72RxudnqqqKklSUlJSwF+LNrI/2sjeaB/7C6c2Cub3v52EUxtFKtrI3mif09OjRw9FR58clnFYlmW19YBDhw5p1qxZAS8YAAAAAABApFm5cqV69+590u3tBmrIqAGAyBWpZ1QBINLx/Q8AwfOlM2oAAJGroqJCkpSSkhLikgAAgonvfwAIPSYTBgAAAAAAsAkCNQAAAAAAADbR7qpPAIDIFRUVFeoiAAAAABGJQA0A4CSJiYmhLgIAAAAQkRj6BAAAAAAAYBMEagAAAAAAAGyCQA0AAAAAAIBNEKgBAAAAAACwCQI1kcrVKNW7Ql0K/+ls78ftlmrrQ12K4KuuC3UJwgP1BDtrdEt1DaEuBQDAhizLUq3LCnUxOr1alyXLCkw9037BwapPkaa2XjpYaP7yDklvfRrqEp2Z9CRp0lApt7e0eZ+0cnOoS3Rm4mKk8YOkMQOksmrpmXdDXaLgGJwtnZsrdU2TFq6UCspCXSJ78q6np1dKx6kn2EhSvDRhsHR2P+nAcWnJx6EuEYDT8ewPJEnXPV8Y4oKgM+qVGqUbxiTraEWjVu+r1e7iTnSi1SYSoh363qQUVdVb+uhArTYfbZC/QiuZiU59a0KK6lyWBmdFKz2BvI9AIVATaepd0rFSKTZaGtpL+s2LUnlNqEt1+kb3l759obmc20f6zWKpJowzUVITpe/OMe2TGCfll0g7Doe6VIF3zhATfJCknl2kRWtCWx678q6n7AzpReoJNtIrU7ptrrk8sKc5GXC0NKRFAnD61uwP499TsK0fT0uRJPVIiVJavJN+FgDzRyYoJsqh9ASHBmfF6IlPqvz23LdOTJYkxUU7VFrjJlATQNRspElJkJLjzeW4GOnCsaEtz5nauFfaX2AuJ8ZJs0eHtDhnrLxaem+L5/q8iaErSzC9stZz+bxRUmpC6MpiZ971NJN6gs0cLpLWf2EuOx3SJRNCWx4AgK1kJjo1tW9cy/VleWF8stimnA5p7lDP78NXt/uvjpNiHPrKwPiW61lJhBICidqNNA6HlN3Fc/2S8eYTHc5e9Tp4vXSCFOZvR6+u81w+d7jUJTl0ZQmWvEPSzqbModho6aIwDyAGinc9dYZAKzof7+/jC8ZI8TGhKwsAwFbmDIlXVNNxx5aj9dpX0hjiEnU+k/rEqmtSlCSppMat1fv8N6/h+YPilRBj2i8+WkqKDfeDLnsjUBOJslKlGPMBVtc0afKw0JbnTK3aIlU0RYt7ZUrjBoW2PGdqz1Hp8/3mcnSUNHd8aMsTLN4HeBePl6L4emqTdz11hkArOpcNX5jMGslkb37lrNCWBwBgCzFO6aIhnkwPsmkC49JcTx2/vbNGLrd/ntfpkC4e5nnuzKQoORz8Bg0kjoQikdMp9cjwXJ93TujK4g91DdLbn3muh/v7kVoPcZk7zgRsOrv/bJNKKs3lrmnS5KGhLY9dnVhPU8I80IrOxVLrYOJXI2T4JgCgQ9P7xykt3hx6FlQ26pODzE3jbwO6RGtk91hJkstt6c2dtX577vG9YtUzxRyPRDmkjASCNIFGoCZS9czwDBEamSMN7BHS4pyx19aZJWEladxAqU9WaMtzpj7K86zok54kTR8R2vIEg6tRemOD5/pXO0HALRCoJ9jdik2eJeRzuppV7AAAEe1Sr2yM13fUyM0Kz353yTDP/DFr9tepuMZP6TRqnanTJdEpJ9k0AUegJlLFxpghUM3C/axnQZn0yU7P9UvDfBJLtyW9tt5zPVImFX5jgwlESJ0jgBgo1BPsrKZeWr7Rcz3c9y8AgDMyvFu0BmaaOcvqXJbe2eW/TA8YqXEOzejvCdQs8+MkwjlpURrdM7bleiaTCAcFtRzJvCcVnjlSSksMXVn8wTvdftbZUlJc+9uGg7c/NcO6JGlwtpTbO7TlCYaSSmn1Ns91DvDaRj3B7patU8vp0gmDTRYnACAieWfTvLunVpX1pNP424WDExQbZbJcdhY2aEehy2/PfYlX+6XFO1peB4FFoCaSpSR6luqO6QQr7WzeJ+07Zi4nxHaCpbprWi/VHSkH494Bt84QQAwU6gl2dqRYWr/LXGapbgCIWFmJTk3OYUnuQIpySHOHBiabJim29ZLcmYmED4KFmo502Zmey51hpZ1XTliqO9xXxDlxqe7MlNCVJVh2HDZ/UucIIAYK9QS78/4+vmC0CaADACLKnKEJLUtyb8qv14FSluT2t8k5ccryWpL7g/3+W5L7gkHxiotmSe5QCPOjcpyxrFRzkNd8eWqYryDzntdS3T27SOMHh7Y8Z2rvMZMpJJkg2sURslT3K594LneGAGKgUE+ws8/2SAeOm8tJ8dIsluoGgEgSGyVdNNgr04NsmoDwnuj3zQAuyZ3FktxBxa/6SOd0SD3SPdfDPT29ztV6EstLOkFg43WvSYXnjA3/LCFffLBNKqsyl7NSpUks1d0m6gl296bXCmXhvn8BAHwp5/aNU2rTktzHqxq17hBLcvtbv4woDe9mJmp2W5be8uOS3ON6xap7ssnUcTqkdJbkDioCNTArdDQ7VBS6cvhLL6/hXIc72fvJL1FErGeYliQleyL4naIdA4F6gt15f391hv0LAMBnh8s9w5zS4p1KZtiM3xVWuVXnMscGTodDPVP8d3if79V+bsuz4CiCg0BNpKtrkArLPde9JygNRz0zzAojzZata3/bcHDicKdwbx9feQ/j2bRP2lcQ0uLYFvUEO0uKMyvwNYuU7y8AgCRpR6FLOwvNCqaxUQ5dODjhFI/Al1VZb+ndPZ4sGu8Vts7UofJGbTjsOaFfWO2nMVXwCYGaSJdf4rncGQ70LvGaQHjtLrPySDibmuuZQLi4wgx16exio6U54zzXX/2k/W0jGfUEu5s92jOB8D6v+bYAABHDewWiuUPjxcrO/vea19w/k3PilOXHlZm85xUqrnarMRIy+22CQE0ka3RLR70CNeF+oJcQa1YWadYZzt56L8n9+gb5bXYwO5sxwrPU9LFS6ZOdIS2ObVFPsDOnw6y81+yVTvB9DAD40j7YX6eSGvP7NSspqtVS3fCP/aWN2pRvMl+inA7NGeq/rJpPD9frSLlLkhn+VFoTAcciNkGgJpIVlnsGG3aGA71ZZ5mVRSTpYKH02e7QludMDc6WhvcxlxsaW0/K2Zl5B6deWxcZc/KcDuoJdjZ+sFl5TzIr8b23JbTlAQCEhMttViJq5r1CEfzHO6vmosHxio3yz/Nakl7L8wytKqx2y7L4zRkMBGoilWW1HhYU7gd6DkmXeh24LltrvlnC2Ve9zkb/53OptCp0ZQmWETnSwJ7mcm2D9PZnoS2PXVFPsLt5Xt/Hb31qVuQDAESkt3bWqqHR/DAf3i1GA7tEh7hEnc/aQ/U6VmlOwKfGOzW9f/wpHuG7FbtrVd1gMmnqXGZeHAQegZpIVV4tVTVFRzvDgd6YgVKfLHO5qlZauTm05TlTGUnS9JGe66+G+aTIvvLOElm1War03xKDnQr1BDvrkyWNGWAuN7ql19eHtjwAgJAqqXHrg/11Ldf9OeEtDLclve6VVePPOq5psLTyC6+smiqGPwUDgZpI5Z1Ns2pT+B/oeR+4vrOx9ZLj4eiicVJMU87itoPSriOhLU8wdE2VpgzzXF/GnBZtOrGeOsNcTOhcvL+PP94hFZSFriwAAFvwnlR4ev84pcUzq7C/vfNFrWobTLbLgC7RGtEtxm/Pvcxr+FNFndWyJDgCh0BNJKptkIoqPNfDPVsju4s0sWlJbrcV/ktyRzuli71X84mQA3HvpaY37pX2Hw9teezKu54+2yMdoJ5gI8nxZr6wZkwiDACQtKvIpbzjZqnuGJbqDoiqE5fq9uN8QPkVjVp3yJMVVcRS3QFHoCYSHfXKpukMB3reK4us3dl6JatwdO5wqUvTktyF5dKa7aEtTzDERUsXjfVcD/cVyALlpHriIBg2M3u0FN+0JPeeo9Ln+0NaHACAfXhPeMtS3YHhXceT+sSqaxJLdYcrAjWRptEtHS31XA/3A72EWHNg0Czc348kzTvHc/mNDabNOruZo6TUpqWmj5ZIa3eFtjx25V1P+SXSOuoJNnLiktyd4fsYAOA3a/bXqbjaTHibmRilKX1ZqtvfDpQ1aqPXUt1z/bhU98YjDTpU5lmqu4SlugOKQE2kKamQKmvMqk+d4UDvnCFmGIhlmcygjXtDXaIz06uLNKCHCc40uCJnSe6ZXhMnLwvzFcgCybuewn2lNnQ+w3pLPTLM5fJq6b3PQ1seAICtmKW6PUNzZvYnUBMIreYD6hcnp58ylyy1zqopreF3aCA5LBZC77yqas3QmePlJkvhUJGUXyxV15kf1LFRrbNrwoFlmTl2yqqlsipzMOBwSHPGmv/DedLKBpeZ5LmgTJo01Kycsq8g1KUKDodD2nFYunySlHcoMrKITgf1BLtLjJO2HpTOzZUOF4W6NABOQ/m8iSqpaNAzZV1CXRR0QnFR0vjecTpU2qg3d9VouB8nvIXH5D5xKqxu1LrD9Zrqx8wlh6SeKVFKjnUqt3u0nA7GrwUKi9h3BjX1TQGZMulYqXSoUDpSYm5PiJXiY6SEOCkt0SyZGhdjDvgkqWt6KEt+apZlgjHHy817LCw3WQRdU6V+3cz/qUlqCRV3zwhteU9HZa2087B0oMhk1Ewf6RneMqpfSIsWVNsOSk6nNDwn1CWxN+oJdrdht5lnq3muLQBhJbWkWoUvbtDkWy8PdVHQSbktKTstSpmJTk3OIasmULKSotQrNUqXj0gMdVFwGgjUhJO6htYZMkeKTAZGZa05ixkfawIyqYnS2f1NkCbcopyNbqm00hOYOV4uxUabgEyPDBO4SI4Pv/fVluIKKe+wVFBqhjvNGWvaL1I5HCYAgY5RT7A7+igQ3pwOPsYICvoZ0D4CNXZU75KKmoIUx0pN+nh+sRnuk9AUjEmMk1ITpLP6mcvhGrhoaDTvtbDcDPkprjSBmK6pUv9u0sRBnSt40Tw3UN4hE2Abki1NGizF8FGU0yGm//cB9QS7o48C4c3hkENMZInAo58B7ePoMJRcjVJRhRmyVFAqHS42GTIlVU0BmVhPQGZ4jpQUL7/NBhUqdQ3m/R5vGqpVVi2lJ0nd0qTcPlJWqsmg6Wwa3dL+4yZA45B5r32yzETI8AjXgGOwUU+wO/ooEL6aM2r4GCPAHKKfAe3phEfENtTobsoaqWgKyBSZrIqiiqbhSk0BmbREKbe3lJzQeb61qmo9QZmCMjORcVaq1DXNzJeTmSJFR4W6lIFT75K+yJd2HjEBt3EDpR7pHMS0hV+FvqGeYHf0USC8ORxyyMEkoQg4h4N+BrSHQI0/NbqlkkrPMJ7mIUuFFWYC38Q4E5RJS5SG9JJSEjpXRoX3xL8Fpeb/hkaTLdM1TRqULWUkR8YP+Oo6kz2z56jUs4tZVpmJNTvGQGXfUE+wO/ooEN6aMmo4fkagOUQ/A9pDoOZ0uN1meFJRU0DmSLEJyBSUSbExUlJTQCY10QQnxiV2roBMM7dlAlMFpea9F5RJMVFSt3Spe7qZ+Dc1IbK+gUsqpe2HTJCuf3dp7ngz5w5OjfxX31BPsDv6KBDemueo4WOMACMBE2gfgZqOWJZUWuVZFvpwkXS01EzwG+00c8YkxElpCWbVnjEDOvcwHlejZ/hWQZmpk6R4kzHTr5s0cYgJUkUayzJ9YutBE6gZ1kuaMMhkUcF37K19Qz3B7uijQHhzMEcNgoOAINA+AjVS05CdGjOPSlG5yY45XGICEg6HyYhIbFr2ul83s9JSZ5zw9kT1DZ5MmWOlJgiRkWyGMeX2MSszxceGupSh426aIHjbQRPEGt5H+sooKaoTB+sCieESvqGeYHf0USC8OcmoQXAQEATaFwHRBi+WZZZEPl5mMkOOFktHSqSjJeZ+74BM367S2X3NUKZIUV1nAjLNgZnKGjPxb7d0ky3UNZVlpCWpoWmC4G0HpcR4aXR/qXdmZA3xCgR+FfqGeoLd0UeB8OZwSA4z0SsQaPQzoG2d96i7ebWhwnITiDlSbIIPrkYziW9SvAnM9M6URvSJvMyQ5iyiglJPcKauwcwt0z1dGtjDTH7bGefWOV01dVLeYWnHYVNHM0aa7CL4BzMX+oZ6gt3RR4HwRkYNgoSMGqB94R+oqak3GTLNKw0dKTZLX9c3eAIyKYlSdhdpeI6Z5DcSuZtWpDrWlC3TPKyrOTAzqp+UnsSP67aUVUtb90v7CswEwRdPMCt3wb8YLuEb6gl2Rx8Fwhtz1CBICAgC7QufQE1tvcmOOe610tLREhOoSUkw2TEpCSboMKy3CchEctDB1SgVVZg6ap5nJiHW1E/frtLEwabOIrmOTqWgVNqy3wS3hvWSrpwSuYG+YGBv7RvqCXZHHwXCGxk1CBICgkD77BeoqXc1BWTKzF9zQKayzgQWUhOk5AQzX8qQbLPKEMEGU28FpZ5VqYoqTIZM9zRpaC9p+giCDL6wLOnAcROgqamXRuRIM0cyN08wsLf2DfUEu6OPAuGtKaOGn9cINIfoZ0B7Qnf02eAywYTj5a0DMhU1JiCTnGAyZLqkSgN7mst8kj1q6k19HSs1/5dVS1kpUo8MacxAs2R2JKxM5S+uRjNB8OcHpJgoaVRfs8IX6fvBw3AJ31BPsDv6KBDemjNqQl0OdHr0M6B9gT+SdzVKxRWeIUtHS8wcMmVVTfPHNAVkMpKkAd3NZX7gtWZZJoB1tFQ6VmL+r6k32TI9MqQpw8zqTNEsC/2l1TZI2w+aFZyyUqRpuaZOCQoGH3nWvqGeYHf0USC8ORxyOBxy8jlGgNHPgPb5L1DT2DRZ7fGm+VCOlpqgTHHFCQGZZDNHSmoiKwq1x7Kk4kqTLZNfYoIzbkvqmSF1z5BG5ph6JKB1+ipqzPCmL/JNf7x4vNQlOdSlimwMl/AN9QS7o48C4a3pZBWfYgQD/Qxo25cP1LjdUkmVmUemoNRMtJpfIhWVmzlQUhKltAQzP8qEQWZ1HDI9Otbo9iwjnt80nCkuxgRmcrLMxL+pDP3yi8JyadNe6VCRmXR6/hQz1A6hx1l431BPsDv6KBDemEwYQUJcH2hf+4Eay5JKqzwT+zZnyBSWmyBCaqIJHmQkS+MHSmlJZm4PnFpDY1O2TLGp1+Nlpj57pEtDe0szRposJPiHZUmHCqVN+0yfHtVXmj7S9GPYB/Na+IZ6gt3RR4HwxvLcCBICgkD72g/U7CuQnnlX6prmGbI0ZoDJlGEFnDPz7hapolrqkyWN7m+WzCZoEDiHiqT3t0rnDDETUzPkzqZYYsI31BPsjj4KhLWWjBo+xwgsExCknwFtaT/i4mo0AYTZo4NWmIjhdkuThko5XUNdksjgajTZSsN6h7ok6AinVXxDPcHu6KNAeCOjBkHC7gJo3ylSY0hfDojmtHDqNjicDslBfdsewyV8Qz3B7uijQHhryqgh0QGB5iABE2hXx4EapwhzBkLzaQrqNjicDkL24YDTd76hnmB39FEgvJFRgyDh5znQPh8yavj0+F3zaQrqNjgIjIUH9ta+oZ5gd/RRILw5HHLIwdwhCDiHg34GtOcUGTWkLwdEc9CAug0Op5NU/HBAG/mGeoLd0UeB8OYkowbBQVwfaF/HgRo+PYFBhkdwOR1kMIUD2sg31BPsjj4KhLemzy+JDgg45qgB2nWKQA2fnoBorlfqNniob/tj5kLfUE+wO/ooEN6YowZBQk4A0L5Tz1ETRfqy3zUPewpF3f75NamoXPrVdcF/7VCJcpo6D0Z9F1VId/5d2rJfunCM9NCNgX/NzsLRThtRp621V0+AXdBHgfDmcAT8AHrO08f1yMXpyu0WE7gXge0FMiBYUuPWT98u07aCBn1lYJx+MSstMC8EBEhkDX0qLJf+9Z7Uv7s0NVfKSm19/9qd0nufS65Gad450oicwJQjlEOfvsiXJg/172vX1El/W35yAOiRV6T/XSVld5Ee+aaU27v14xpc0sQfSyWVntseuE664Tz/lU0K7tCnv75p+tezdwf+tU7Xgjekepd011fN9Vc+kQ4VSoUV0uyzpSm5Jz+mvTb2p/baKJB1emJdnKrPnri9t2B/fyD8+dJn2tumrdt9+U7tqA/7C30UCG8BnqOmvM6t41VuDegS7ZfXeOLjSj2/qVo9UqL04AWpGpLlCf5c+1yRth93KS5KevvmrkpP8ASR/7GuSvWNlr47Kfmk5/z0cL0+2F8nl1uaOzRew7oSUAqEQB5qPr2+SjnpUfqfyzMC8wKn6cR+50tfoz9GpsgZ+lRYLn3/KemJW6XMlJPvr66TfvuS9NJPpEa39I3HpOd/FLjyhCo1fNcR6ebz/fvalXXmYKGqzvO867+QhvWW1v1Reugl6Z6F0ms/b/249bulJ2+VRvUz9fHgIukrZwegXhzBq+8126VfXGvfz82RYumFD6QrJpky5hdLiz+U/nW3VNcgXfyAtPSnUnJ868e11cb+1l4bBapOT6yLU/XZE7f3FszvD4aVdA6+9Jn2tmnv9lN9p3bUh/2JPopgWfKx9Pd3pAPHTZ/L7S396VtSD3sdmPmkOfja0ChddorAbUfb+ENTRo351/92FzaqR0qUEmPOPPNuY369BmfGaOU3u+lPH1bolyvK9dw1WZKk9YfqddvkFOV2jVa009EqSHO0olFLttbokmHxJ73P6ga3Hv2gUv97VRe5Lem7r5To71d0OeOy4mSB7GefHKzXPdNTAvb8p+PEfudLX6M/Rq5TB2oCvXLDM+9KKzZJvTOlZeukmCjp0Vuk6SP8+zr3PSN950Kpaztpbys3m7P2MdFSjEw5NuyWJgz2bzmkplWInIGvW7dbeuJNU8euRun/XSPtKzA/ZPz52j0ypJyu0pESz/P27CJNHGIu3zlPGn/3ya85cYgU69UFiyrM8/ib0xH4+q53SaN/IFXUSN98XOqTJa14IHCvd7r+/R/pqxM9n+2VW0xbOZ1SQpyUk2V+BH51YuvHtdXG/nbi902g6/TEujhVnz1xe2/B/P5gRZ3QqqyRHnhBen29FB0l3Xax9K0Lvvzz+NJn2tvmSHHbt5/qO7WjPuxP9FEEw6IPzHDuJ26VRvU1mWRvfyZlJH/5/tfoDu1wveo66TeLpSU/NWW54RHphXu+/Db+4gzs0KcvilzqnxGlP6wu19JtNcqId+qB2Wka2yv2Sz9X92Snxmabx916TrJm/b2gpdzPb65S3/RoDciIUrf0qFaPW/x5teYMjW8zc2j13jr1zYhSTJS5I8Ypbcqv15jsL18+dCwQmVsNjZamP1WgynpLd7xWql6pUVry9Sz/vshpOrHf+dLX6I+Ry4fluQMchcw7JH26W/rm+dKvvy499qr05JvSzJGnfuwz75ofrCeaOEQ6b5Tn+hf55qz8eaOk2/9HumCMSRX39vl+MxSq+f12S5N250vnDDn999ae5r1foOv20WXSf7ZKS+6TUhOlGx6Vuqeby6fia902czpb5y/29To4qKmTRvc/+f3Ge6Xt7TgsDe0VmDpxOgI/jC8+Rnr1v6WrHpY2/Slwr3OiL9NO738unZsrfbLTXHc6pNp6k23m3e+PFLVdVye2sb+duLf+snV6pnXRUZ9ta3tvQf3+YFhJSN3yF2nGCOmzx6R1u6Rr/yBdPsm0ueR7P/Slz7S3ze6jp37sid+pp+rD/kQfRTC8sFq6Yab5rpbMZ+L6Geby714ygY37m4bqHimWpt8n7XzS7Mv+/b45OZjdRXpzg3T7JdJ354TkbUiSVm5qCr5Gef42fHFC4NaHbfwlwJMJ7ypq0JajDfraqET98NwU/W1dlX61skzLbvTshxdtrlZ+ZeNJjx2bHatp/eJarvdJ8xzK1LosjewRI6dDanRbGpIVo0+P1Ou5zdV6/NJ0ndPHPG7N/jpNyonVhkP1kk5+n9uPNygz0dlye1aSU3tLXBp3GoEkdCwQPyvjoh169muZuvmlYv3n2938++Rt8LWvttXvfOlr9MfIdYrJhBX4H1vbD0nfv1j6ylnm+tBe0tpd5nXvf96c/Rs9oO3H3vgV317j4x3SmP7S12dIs0ZJM/7bvM7wPp5tKmqkXpme9xsbbc5GBuL9B2OOmsJy6a9vSSsf8JxRPf9s6bM9/q3bZk61/2371qfSDy7t+P2u3GQmig3X+pakbQdNnwrmAYqv7VTvMj/ofnS5SZ2WTDmn5kq/XyIdLTFBvIOF0vhB7QRqFOBATRvP/WXq9Ezrwpt3n/Vl+6B+f7Tx+giO5RtN/d9+ibk+fYTJNtt7TOqRbm7ztR/60mfa28aXx3p/p/rSh/2JPopgiI+Vnl9tsi2n5rYe1r7tgHTJBE8/zDtofvdFN2VV5B0yWWg3ny/98b/MUKJA9Nn/ay9wO9jzu1eStuyTunoHX9PNSUbv4Ksv2/hLgCcT3lXo0jfGJmn2YDPM+qpRCXri40q5LUvRTS96zdk+nFQ8wcovanXrxGTzky/Koe9PNnOAPLepWr9cUa63b+6q+kZLm/Lr9f3JKfr0cNuBmso6Sz1To1puj4lyqKTGzddaAAQqILizsEFDs85sDqR/b6rW5JxY9c/o+HDZl77aXr/zpa/RHyOXDxk1AU4FzTskPXKz53V2HJGG9DLXdxyRhnYwTOfpFdKhopNvnzzMBCWalVRJfbtJsTFS3+7SpKHSB9ulkX0922Qkmx+zza9VUy+lJQXm/TfXayDrdk2eNCRbGtDDc1thRdNBrx/rtpnD2Xa6e0ml+ZvVxmO8bd5nDn4CMa+Bs52y+du2g9LInOCm/PvaTs++L904y1MXkrk8ZoD08I3SA4vMj70t+6U/3tz2e2ivjf2lref+MnV6pnXR7MQ+e6rtpeB+fzCsJHTe2ShdNM5T/263CZp0T/fc5ms/9KXPtLdNZe2pH+v9nepLH/Yn+iiCYcF3zNCn+5+X8kvMd/ajt5hgxtaD0r1XevrhtkPScK99ybaD0vfmSHPGmevR0dIH28yJLX8Owb5plm/bVdQ2BV+byhfTHHx1frlt/KUpEzlQU03tKnLpgQvSWp6/tNatlDhHy9AOSfr3xmrlV5ycpTC+V6xmDIg76fbSGrdKa92a1v/k+64bnajFn1ertNat1/Nq9LWzElu9txPfZ3qCU/WNVsvttQ2WUuIcTL0VIIGo17zjLg3rGn1Gz339aN+Chb701Re3VLfZ73zpa/THyHXq5bkDGa7bXyA1NpqAQvPrfL7f7DidDulYifSr583QqK/PNGc+vH1ztm+vk50hffqF5zV6ZEiJsa3f26i+Zm6O5tvyS6Sz+wUuwyPQqeElla1T4xtc0lsbpF9e69+6bdb8Vrzfk9stLVwp3T2v4/daUil1SQnc+PBgrfq09aB09VTP6yz5WPrnCjOW/NsXSn9eZg7W3t0i3XmpGYLwwXbpgeulC0abx/x2sckAKyiTHv2mNHagdOkD0tL/NkMXVmyS/vBfntf0tZ0WfWCGFEpSWbX5P8ppzrBfO938vbNRmjaidXDPW1tt7E9ttZF3nS7faDLC7rlCKq2SvrVAetFrfL4/6qKtPtvR9s2C/f3BaZTQ+Gy3NHWYp/5Xbzdn8Ydke7bxtR/60mfa26ZLcsePPfE71Zc+7E/0UQRDjwzpNzeYv017pZv+JC14XbrjEul4WdN8fE39cNtBczLC+/rv/6t1P31+tXTvFf7tu/9sL3A7VJo92nM9I1mqb/C8dm29lJbYuiy+bOMvTocccsgZgCPBw+UuVdZbykp0tjz/8l11mjkgvtXrfX1Mks/P6bYsPbepWt+blNJumYd1jVFGglNLt9Xq6Q3me7C8zi1JinI69P3Jnoys3K4xWrO/ruW5jlW6NbJ7bEDqI9I5HIHpZzuON2je8ISW5349r0bPbqyW27L0jbFJemptpSb0jtXqfXW69ZxkbTjcoE8O1um+mak6b4DJ9Lr2+UI9d02Wrny2UON6xerjA3WaPzJR3xjbum/60lfb63e+9DX6Y+Q6RUaNAvtja/shKbePJxVVMmf077mi6ax2lfTzq6WEWGnu/dItXzJ40GzuODP3javRpIjnF0sXzTfvbcUmadZZ0pyxTT9kLZMC2+iWJrQzBORMORT4uh3cU/rNi9Keo2b+gp8/a34sjMjxb916O/HH+ZNvS984T0qMk4orpP3HTQZHc503f8Gs2mzONAc6ABDwoU8HpFHXmdfZst+Mn196nznrVVgu/XqR9NP50jXnSrc+Ka243/xYfPkj6aIx5jnuvFRKusoE0F76SJoyzNThz/5lnuPpO07vfaz0moT3oZfM//dc4bmtpFJauEJ6/Nue5z+xnaTAHoA51MbQJ686HTdQ+r9V5vKfl0l3nWI4XXs6qou2+mxH24fs+4Odc9A1uKQ9x8y8Fl+daCZmv/d/pV9cc3rt0VGfOVW/GpnTcX878Tv1VJ9/f6OPItjGDDAZwzV10s7D5oRDYlNmhavRzFP4zfNNvzxYaG4b6nWS8M0NZiLiI0XSdTPMicR7rzQnBW75i7T4XmnqT6R+XaXDxdIVk01A6IUPzCTdFTXSr66Vpg1vXS5ff1uNyjkh+Fp88tx+vmzjLwGco2ZXoUvRTum1vFp9Y2yi/rO3Ti9srtbz12ae9uv9c32Vrjk7UQkxZkjIoTKX+mVE61hlowZlxqioulFDm1Z+WnqDZ1LZP62pkCTdMcUEad7fU6vp/eN0/qA4Pb2hSpJlvmItS2OyY/haC4BA7S7yjrt0XzfTZtsKGrRka42eubqLYqIcKqpu1B9XW7rr3BRdPiJRP3y9VEu+nqm8wgS9nlejWQPjVVztVlZilMnUqnHrzqnJapycrB+8VqKbxvkeRGzWXr+rrne329fojwhtRs32g+aMYfNrFFeYTIIRfUy2wdVTPWOOvbNDvqzMFOnhm8yBcnYXk0HSO9NMNHf3P6XVvzFnKn46X3rwRSnaKf3pltYBJH8KRuBg1lnmh8T5PzfjmC+dYCZnHdzT/GDxV91K0rFS6aM8055f5Juzy4++arJDmg8K6lzSpsfMGSDvOpek1dvM8JtA1Ueg51aRTB2UVnl++C3/TLptrhTXNGFy3iHpysnm7FdJpZl8NCVBKq404+udDnMG8GfPmvHspVXSNdPM7ecMMXW25c+tV3Q5XS1DHxwm+LPuC/PD9q/fNWfhpZM/G221sb+d+KvwxDrtlmbqK7/YHCT7Y2U477por896l8l7+1B/fyC4duWbVdGG95GG3WaGV/zoMrNE7ulISWi7z/jSr9p7bLOOvlO9+3Cg0EcRaI++arJSxjTNs/fSh+a3zdKfmmBNTZ3JkHQ6TPZwYbnn9+bWA+Zz7P2ZmTNWOquvtOxnZtvb/2a2fexV6e6vShXVUlmV9Jefmc/frJ+bTNiVm6RXf2oCNbcsMBONn46546Qn31JL8NXlFXxdvtEEXjvaxu8CN0fNzkKXLh+RoE+P1OuxNRUa0CVaT12eoQFdTu/3zZOfVOqxDyr05w8rJZm5QP7z7W46UNqoW14u1tS+cRrXK0Y3j0s66f14fx3WNFj62fIyvX5jV6UnOHXXucn64+oKRTsd+u2FaS1z58C/ArG7OF7ZqPI6twZlmjlq3ttTq29OSFJctHmhXYUufTU3QalxTpXVNOjiYfFKjnOqrMatXk1zwewsbNCwrtHaWdigS3PjlRrn1J5il3LSzmzeG6l1v0uOa7uv0R8hSQ7Lsqw279l1xAwzuGpqkIvU5Ik3zNjbn3/NLIO684h011dDUxZ/e2G1NH6wNLCdISaB1pnrti15h8wQmisnB+81//sZ6byzzI8rV6P01NtmbPm8c6Q/LTOBjjnjpN+/LI0bZCYV/PHTZvLP80dLt/1VunKKOVt205/NKmhOh3RnJ26n3y6W7pvf8TbfeMzU50/nt55jKpL4Uk/wvxdWS8vWS/+6K9QlsT/6KALtV89Lr3xiJsJPjJPO7m/63PhBZh9x/SNm5bM+WSYI85fXpW0LzGMfftkMF3z0m57n+yLfbPPYLeb6Bb8wGaz3/p/5zH+YZ34v/frr5v5LHzTZM6+uNSdgJDMU6x+3n/57Wr7RDIeOdkrzp5iM8+o6acIPpdW/M0Me29omQCw+xwiCRz+o0F3nppx6wzPw4KpyTesfpxn94+RyW/rfT6uVneLUnKEJ+p9PKjUwM1rnD4rX4x9WaHTTSk3/WF+lXqlROlze2LLtsu01Kq1164YvMSzPDh5bU6G7zk0NdTFwGk4dvg7V+LdtB6WEODPmOCne7Dw7zVg8h2eemlDo1HXbBofDZNQE8z3eOEv67pPSI6+YITsllSYw43BInx8wAVCHw7TFTbPM5UnDTEbNyx+bYYG/7Ct950npd98wq1XM/n/Sty6UkuOD9z6C7VRtNG6gqbNR/YJSHNvqzJ9Xu/r8gPkcUve+oZ4QSL+81vy1JSZaWnRP69tuu9hz+d4rT37MjsNmIYvmftszQ/rxQum/r/Lsq+td5vKiD6QZI81+/Q//Zeaek0yA6Ez6/QVjzJ+3pHhPgKm9bQLEIfE5RsCZw6HA9rNrzk7Uj98o1RMfV+rsnjEqrbE0e1CyHA6Hth93ad7wRDkcDu0odOna0Unm8nGXZg+K16rddS3bbitwadaguICXF2jmh3EUAbLg1lCXoPOibgNvaC9p1YNt3/f373suL7zTc3n+FPPnbfG9nsvv/tpvxQtbm/aZeQCAYPv8gBmOCKDzGdRTeuAF6cBx6aEbzUT+2w56Mje3HTArQ136gBlO/sStZtvb/keKiTLDqJ66zawAB8BWBmfFaOk32l7N7U+XZrRcXjCvS8vl389Nb/W/JP1kJlkpCC77BmoAoNmxUumOv5m5l/y5dCrgq6U/DXUJAATKsN7SJ3/wXD/xpMCeY9KS+1ovhT04W3rnV0ErIgAgshCoAWB/3dOlF34c6lIAADqz9k4K1LtaB2kAAAgwAjUAAABAeycF3vxF0IsCAIhsnB4AAAAAAACwifYDNfGxZrZ5+F9SnBQfE+pSRI74WLN8JwAAAAAANtf+0Kc+WeYP/nfpxFCXILL062b+YG9d00JdgvBAPcHu6KNA+ONzjCDITIwKdRE6Peo4fDksy7JCXQgAAAAAAAAwRw0AAAAAAIBtEKgBAAAAAACwCQI1AAAAAAAANkGgBgAAAAAAwCYI1AAAAAAAANgEgRoAAAAAAACbIFADAAAAAABgEwRqAAAAAAAAbIJADQAAAAAAgE0QqAEAAAAAALAJAjUAAAAAAAA2QaAGAAAAAADAJgjUAAAAAAAA2ASBGgAAAAAAAJsgUAMAAAAAAGATBGoAAAAAAABsgkANAAAAAACATRCoAQAAAAAAsAkCNQAAAAAAADZBoAYAAAAAAMAmCNQAAAAAAADYBIEaAAAAAAAAmyBQAwAAAAAAYBMEagAAAAAAAGyCQA0AAAAAAIBNEKgBAAAAAACwCQI1AAAAAAAANkGgBgAAAAAAwCYI1AAAAAAAANgEgRoAAAAAAACbIFADAAAAAABgEwRqAAAAAAAAbIJADQAAAAAAgE0QqAEAAAAAALAJAjUAAAAAAAA2QaAGAAAAAADAJgjUAAAAAAAA2ASBGgAAAAAAAJsgUAMAAAAAAGATBGoAAAAAAABsgkANAAAAAACATRCoAQAAAAAAsAkCNQAAAAAAADZBoAYAAAAAAMAmCNQAAAAAAADYBIEaAAAAAAAAmyBQAwAAAAAAYBMEagAAAAAAAGyCQA0AAAAAAIBNEKgBAAAAAACwCQI1AAAAAAAANkGgBgAAAAAAwCYI1AAAAAAAANgEgRoAAAAAAACbIFADAAAAAABgEwRqAAAAAAAAbIJADQAAAAAAgE0QqAEAAAAAALAJAjUAAAAAAAA2QaAGAAAAAADAJgjUAAAAAAAA2ASBGgAAAAAAAJsgUAMAAAAAAGATBGoAAAAAAABsgkANAAAAAACATRCoAQAAAAAAsAkCNQAAAAAAADZBoAYAAAAAAMAmCNQAAAAAAADYBIEaAAAAAAAAmyBQAwAAAAAAYBMEagAAAAAAAGyCQA0AAAAAAIBNEKgBAAAAAACwCQI1AAAAAAAANkGgBgAAAAAAwCYI1AAAAAAAANgEgRoAAAAAAACbIFADAAAAAABgEwRqAAAAAAAAbIJADQAAAAAAgE0QqAEAAAAAALAJAjUAAAAAAAA2QaAGAAAAAADAJgjUAAAAAAAA2MT/B31lrC7boFu4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "force=shap.force_plot(explainer.expected_value, shap_values[86,:], X.iloc[86,:], feature_names=featureName, matplotlib = True,show=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ZbCrv7rHw1RErN8YaGNu9lqqih0mMNzKss45vfrPx+GA9PdrICkpa8ZZ+UknCQtTXhL/Bt4chJgw2PwEBflpH5FQjlxbx37TKn9/60cqMWAtv3tRC26Cc7Ib3K1h/uPLyv+qQlY2TFa6O8vwGwxKLSlE5tPZvPrVNaY4WQlzQ8Q7Y9AOcKYTtKdD2dq0jcqqcQiv//a16XSTxJ89+ZOdAts2egAEqbHDHJs9fyvDlbytos6iUNotKGf9OGQVlzaMOKqsoCSEuOHW2+n5JeeXKQh7q52wb0UUlxOUV2bd2JWV//EY39l2aWrl2YZUts7B5JCRnScm28dBnForKK/c/OWLj+W+ax42HJGEhxO/b84vWETjNJe0sBFvVakNiwiyeXRM26h2Tj82zczA/ZtgcypJPOZZpQa1l80SShIW4WJPitI7AaZ5bXeZQ71A8fEqBZ77ROgLXGxKuw1AjC4yMaC5pwTtGRzeXf20hmrf/u7H6/uTLPXpg1vQRSmWTrBe50wsXierUUsfqG01EBysE+sB9cXrmDGoe43W9pTm6efxrC9HcPT0V5l4Lb2+F+LjKpf48WEhgC8xl+RT4mECpTMhtiou1DsupHh3kw7yvyrBWufe4tqt28bjK9T31XN+z+T2K5alJtyZJwkLUV4Af3He11lG4RFBrE319SinJzOOM0Ug7i4WOl/hrHZbTVSzw4Z5PLOw4aeP5UXqujJJLpFa8pR1GvmFCiFq94NeGbm1KaFdeznbflqSX+vGw1kG5wP8NNXA8T6V/B++oiQltSRIWQjj4IqUcVVE4HNCCw5yboMOzB0cDsOg7K/O/tmJVIdQMn0010KuNDJ3Rgrc0R8u3SwjhoHWgd1wAq8ooVFmw1WrvEz5ZAPO+9oI7j2ZKBmYJIbxWXrG39Mhd8GueSkWNR2R/ztUkFIH0CQshvJixrHnMmuRK/Too6FCxValxmY3ekgqaH0+t+dYkSVgI4aBbmA/oLNWnjNJ79kXxwxTbudO9cM7fp2sWjteTJCyE8Fot/HSgU+zPCKNTMHj4NfHgacdar6dPW9mcecs/vQzMEkI4OJl3rnNUoTIZAxUeflWcf7niUPfq0VqTUATeMzBLkrAQwkGJxcMzbi30ej1bbjbQpgWY9DAoVOHg3T5ah+W1JAkLIbxWe7PjpUFRPPMiWFVkkEJMa4UOZoXLQj3/fJszb1lFSfqEhRAO2pl1YNRVm6DDaPL8pNR7eQVFlsqf//m9yqlCC6uvM2oblJfy1JpvTW6bhNeuXYvRaCQ7O5upU6diNpvtr505c4b//Oc/tGzZkttvv13DKIVwT7vTLA4zZJV7eBP1mgNWewI+b+MRzz7n5s07krBbNkenpKSwf/9+4uPjiYuLY9myZdVeDw4OJjw8nPLy8jo/o6CggPT09GpbZmams0MXwi1k1LZgkofno3b+5y76qlo5LFpV8Wl+iwt5DW/pE3bLmvDWrVvp0qULAN26dePJJ5/k4YerTy1vNP5+E1JSUhLLly93WoxCuLNruhnBUF5tSLTRxy3v2ettRISOQION/NILZVNiPPPC7w4ae8937NgxXnjhBWbMmEFcXJy9/KOPPuLbb7/l73//OwCrVq3CaDSSlZXFtGnTCAwMbOSRG8Ytk/Dp06fp2bMnACaTiezs7AZ/RkJCAhMmTKhWlpmZyaxZs5okRiHc3dob9Ux+1wIqKIpKyr2e3Tf6y1kbBaXVy1JztIlF1N4nnJ+fT35+vkN5YGCgQ/KMiorC398fVb2Qzg8dOsTBgwftZQcOHGDPnj0sWrSI3bt3s2TJEubPn9/EZ/L73PLWNjg4mNLSyr+W4uJigoODG/wZZrOZjh07VtvatWvX1KEK4bamriqzN8uqNuj5Yukfv8mN5ZY61r7Olnp4G3wzVtvo6MTEREaPHu2wJSYm1voZVVtEz549y969exkxYoS9bMuWLURHRwMQExPDli1bnHU6dapXTfijjz5i6NChBAUFOTmc+hk5ciRr1qwB4OjRowwbNoyCggL8/PwwGNyyci9Es/Lh/jKsNWoi5bY6ftlD9Gmv0LeDQvKpC4l3Rh/pFNaKrZaa8PTp04mPj3co/6MmZKvVyoYNG5g+fTrff/+9vTwnJ4fevXsD4OPjQ1ZWViOjbrh6ZawVK1Zw+eWXVysrLCwkICDAKUH9kR49ehAZGcmGDRvIyMhg9uzZvPbaa/Tr148rrriCgoICDh48SE5ODqdPnyYkJESTOIVwV/56FUVVUas8G6zz8Eqhoih8douJl76r4OgZlWt76EnoLUm4Oamt2bk+vv/+ez799FO++uor8vPzycnJYcWKFYSEhFBSUgJAUVGRJrmiXkl4ypQpfP7553Tv3h0Am83GZ599xoIFC5wa3O+ZNm1atf25c+fafzabzdX2hRANc0WMLwHWEgr0Ovv80a0UD68KA61bKDw72rP7vt1FU46GHjhwIGvXrgVg586dfPDBB8ycOZODBw+ycuVKAFJTUxk1alSTHbO+6pWEv/jiC2w2G1u3brWXpaWlOSsmIUQz0MfHSn6ehRKdgr/NRtcoSU7CdRrb8HLy5EmOHz9OcnIysbGx+Pr6OvxOz549iYqKYt26daSnpzNnzpxGHrXh6pWEH3jgAfr06VOtLCUlxRnxCCGagayzZZTlWvEFfK2Vl8PjRy2//yYhmlBja8KhoaGsXr3aofyyyy7jsssus+/PnDmzUcdprHol4T59+vDJJ5+wdetWDAYD48aNY8iQIc6OTQihkQ92lHno1AjCXXjq5Bw11esRpbfffpu33nqL0NBQunfvztdff20fnSyE8Dy3j/b19Amy6vTxUQu3bbJQbJGav5ZkAYcqsrKyWLduXbVVVM53ZgshPI/JZKJ/dwO7D1fYy24Z7adhRK7R6p8Wcssqf048AA8PsPCPUdIXrgWpCVcRHh7usIyZ9AkL4dlm3NiK0ktasqtNID79g5gwSptHEl1l1YELCfi8F7+v/XeF83n93NGqqtoTb2lpKYmJiYSFhZGTk8Pnn39un2VECOF5VFVl8tpyfj6rggL/+9XGHR+W8+VtjiNMPcU7+7WOQFTlqc3PNdVZE37sscf48MMPgcpnck0mE4mJiWzatIkhQ4bw6KOPuixIIYRrZRbCz7kq6JTK54R1Ctt+9ezL4htjHcsMnln5cgteXxP28fFh0qRJAOzatYupU6cydepU++s5OTm0bt3a+REKIVzOoFMrk29VNfc9THhLI1N7WHj3XE+bXoH9M7SNyZt59i3fBXUm4ejoaI4fP46vry8//vgjERER9tdsNhuffvopd9xxhytiFEK4WAuTgq8BSi+My6KDZ3cJA5A0yUjSJK2jEOA9A7PqTMJjx47ln//8J6mpqeTl5fHpp5/aX1NVldOnT0sSFsJDtTAqXNFVz6ZfzxWocHMf77goiubB65Nw+/btee655wB45513uOWWW6q9/tVXXzk3MiGEpj4+oWC/Dirw8k/wnOun1hVeyvNnKq9Ur+eEayZgQJOJroUQrvHVCatDn5ynL2UomhdV5+U1YSGE9xrU3rHMS66JoplQveT7Vq/JOoQQ3sXPpOeuP1Uve2G4l1wVRbOg6hSHzRNJTVgIUavXxxj4xwgrW3+DqyNAr5cF7oVoavWqCZ86dYpHHnmE5557jvLyct555x2ysrKcHZsQQmMBJj3XROm9JgF/ubOY8fef4oq705n2RCYl5VatQ/Jaqs5x80T1Oq2FCxfSqVMn2rVrh8lkYujQoTz55JPOjk0IIVympNzKs2/lUlquoqpwMsvKzL/kaB2W11L1isPmieqVhOPi4njggQcIDQ0FKpulDh065NTAhBDau+ODMjq9VMLCL8u1DsXpVn9a6FCWcVpqwlqx6RSHzRPVq09Yr9eTnZ2NoigUFRXx4osv0rdvX2fHJoTQUNBzJeSpekDPX3eqrNpXwtE5nrucYa9oE1BUrczgHa3wzZKnNj/XVK/TvOGGG1i6dClLly7l2muvxdfXlyeeeMLZsQkhNLIv3UKercrlQVE4VuzZV8W4Xn60D6medW+baNYoGiGjo6swm80OfcAZGRlOCUgIob3jZ71l+vzqVj3bjq++L+bHlDKmXRNIm1ZSFdaKtzwnXK8kvHz58mr7ZWVlZGRk8MwzzzglKCGaK5tNReehd+RVTehlQv9BKdYqg2F8rd4xZdaoAS0YNaCF1mF4PU+t+dZUr/alffv2oaqqffvtt9/o2LGjs2MTotn4+bdyLlt4hqAFBVzyf2f4bl+J1iE53Xe36DBbK9BbbYTYLJyYI9MKCNexKY6bJ6rXX9X8+fNp3/7CPHbl5eW8/PLLTgtKiObm+jeL+Qk/MMEBjNywupy0S3xRPHiN3QERJvL/z6R1GMJLuUtNODMzk3bt2l30++tVE66agAHOnDnD119/fdEHFcLd7Lcaq+2nG0z8fKqijt8WQjSWqjhuDXHs2DHuvvtudu3aBcBHH33ElClTuOKKK/j888/tv7dq1SrWrl3LkiVLyM/Pb3CcDz/8ML/99pt9f+vWrQ16f71qwgMGDLDf8auqSkBAANOnT2/QgYRwZ+10Vk5WuWf1t1kJa+OjYURCeDa1llam/Pz8WhNlYGAggYGB1cqioqLw9/dHVVUsFgt6vZ41a9Zw+PBhZsyYwZgxYzhw4AB79uxh0aJF7N69myVLljB//vwGxfmPf/yDuXPnMmXKFNauXUuHDh0YMWJEvd9fryT817/+lauvvrpBgQnhSd6YZOKmDRUUKnpMqo0XhuvwMXr2IztCaKm2PuDExESWLFniUH7fffdx//33O5QbjUb7f8eNGwdA9+7diYiIAGDLli1ER0cDEBMTw2OPPdbgJGyz2QgMDOSpp55iwYIFTJw4sUHvr1cSri0BHz161B68EJ5ucE8fbvxNx1epVvp20nPNAKkFC+FMtfUJT58+nfj4eIfymrXg37Njxw6mTZsGQE5ODr179wbAx8fnotZEePDBB3nooYf461//ysMPP0xoaCj9+vWr9/vrTMIPPvggJSW1jwBVVZW0tDQ+/vjjBgcshDu6a5OFtQdtgMKvqXCysJydMyURC+EstfUB19bs3BC5ublkZGRw7bXXAhASEmLPc0VFRYSEhDT4M1evXm3vrn3llVd46KGHeOONN+r9/jqTcLdu3fjTn/6Er69vra/v2LGjgaEK4b4+SrVVDmPUKWCDXekqWUUqbf3dYwSnEO6mtj7hxsjNzWX79u32BJyZmcmYMWNYuXIlAKmpqYwaNarBn1v1CQl/f39eeeWVBr2/ziR8++2315mAS0pKiIqKatCBhHBnZn8dJZYLfcA+qo1Wtf95CCGaQGOfCz558iTHjx8nOTmZyMhIZs6cicFg4M033yQ3N5fExER69uxJVFQU69atIz09nTlz5jT4OC+//DJbt25Fp9PRo0cPLrnkEm6++eZ6v7/OJFw1Aefn57Njxw7KyytXUrHZbGzZsoXFixfX6yAVFRXs2rULX19fYmNjvWZtUuE5zlRUvyKUKQrFFpWWHrq8mhBaa2xNODQ0lNWrV9v3N27cWOvvzZw5s1HH+e9//8uGDRuYNm0aw4cPZ8uWLU2ThKtasGABAQEB5OTkEBYWxunTp+nSpUu9DzJnzhzatGmDr68vb7zxBo8//jiRkZH1fr8QWquo7A6+QIXMImgptWEhvFpwcDCKoqDT6Rg7dixffPFFg95fryQ8ePBgbrrpJj744APi4+OxWq3885//rPdBrFYrCxcuBCon+nj66acbPePW2rVrMRqNZGdnM3XqVMzmC6ud7N69m/3799tj79q1a6OOJUSvU2c40PHCoI3o7Dza64Oo53w3QogGcpcFHEaMGEFxcTERERG89957HDp0qEHvr/fc0WvWrKF///689NJLbNmypdqMI3X58MMPOXjwIN26dePEiRNA5V1DXX3N9ZWSksL+/fuJj48nLi6OZcuW2V8rKytj8eLFTJ8+nYSEBBYtWoSqOq4IU1BQQHp6erUtMzOzUXEJzzX9hxRu3XmIQT+nc2NyKjO/3Yde9Y4FDYTQgk1RHLbm6NZbb6VFixY88sgj/PLLLzzyyCMNen+9asIzZsxg8+bNdOrUiS5duvD2228zderUP3xfaWkp7733HqmpqXz00UcMHDgQvV5PUFBQg4KsaevWrfbm8G7duvHkk0/y8MMPA7B3716CgoJQFAWTyURpaSkZGRl06NCh2mckJSU5rA4lRF10rXw42rolR4NbUqrXE3M6F5OvjG0QwlncpSZcXFzMzz//TFhYGI8++miD31+vJGwwGLj33nsBuPbaa+1DvP/IlClT7D9XVFRw7NgxDh8+zOHDhxscaFWnT5+mZ8+eAJhMJrKzs6u9VvU5svOv10zCCQkJTJgwoVpZZmYms2bNalRswjNtuaoX3+VXtuBkm1tQ3rklT/lJEhbCWZr6ESVnSUhIIDIykry8PHJzcwkLC6v3oGWoZxL+29/+xlVXXcVVV11FQEDAH/6+1Wplx44dqKpK165dadeuHQaDge7du9O9e/d6B1eX4OBgSktLgcq7kODg4Fpfq+3188xmc7V+ZCF+z7bi6l0oB6w+8pywEE7kLkm4VatW1cY4VV3MoT7qlYSfffZZTCYTmzdvpqioiMsuu4wePXrU+fuPP/44ycnJBAQEcOrUKVq1akVMTAwxMTHcddddDQqwNiNHjmTNmjVA5fSZw4YNo6CgAD8/P/r06WOfW7S8vByDwUBYWFijjym8W9dWsPdCgwut/ZDnhIVwIndpjr7hhhv43//+x9ChQwHo1KlTg95fryTcunVrACZOnMjmzZu59957GThwIH/7299q/f0dO3awfv162rRpQ2FhIYcOHeLgwYOkpKQ0KLi69OjRg8jISDZs2EBGRgazZ8/mtddeo1+/flxxxRXceeedvP3229hsNhYsWNAkxxTe7ZUr9cSvt3KmFFoYYcmVeozyjLAQTuMu6wlv2bKFPXv2YDab6dKlC5dccgl33HFHvd9fryT8+uuvU1ZWxqZNm+jevTtPPvkkw4YNq/P327Ztax98FRAQwIABAxgwYEC9g6qP8xNwnzd37lz7z0OGDGHIkCFNejzh3YZ10rHsapX3DquMDFe4obt7XCCEcFfu0hydmZnJV199BcAvv/zCgQMHGvT+eiXhd955h0mTJrF8+XL7ElC/JyEhgXXr1pGQkNCgYIRorp7baWPe/yofdVt9WOWHTBtvjJGBWUI4i7vUhAcNGkR6ejodO3YkMjKywRNR1SsJL1q0iMsvv7zeH7pixQry8/M5ePAgw4cPp1evXnTs2LFBgQnRnLy0u/ozwW/tV3lhuEqgj3tcKIRwO25SE966dSvvvvsugwYNonfv3lxyySX079+/3u+vVxJuSAIGWLhwISkpKRw+fJjXXnuNkydPEhgYSExMTINXmBCiOVBQodQGVhvoFfDVu8s14qIVlau8vMPKD6dsjIzQce8APXo3qZ0I9+cuNeH333+fiooKjh49yoEDB9i8eXPTJ+GGGjhwIAMHDrTvFxYWkpKS0mQDs4RwtXCTjSzLudqwTaVtCytmk1HboJzs5vUWPjxcec4bUmz8clbl5bGefc6i+XCXPuHHHnuMZ599lh49etC9e3esVmuD3u+SiW8DAgLo378/t9xyiysOJ0STO5hZvTk6PU8lu8hxOlRPcaZEZePh6uf8758adnERojFUReewNUenTp3CYLhQn50xY0aD3l/nWRUWFvLEE0+QkJDA0qVLa51/WQhvEdmq+l15sB+09NEoGBfwNVQ+ilVVsJ971EyEZ1B1isOmlYyMjDpfUxSFwsJC+882W8PmlK8zCS9atIiffvqJTp06sWnTJj744IMGfbAQnuSfY40EmCp/Nunh5bFGTAbPTUotjApPDLtwd69T4G+jnNJ7JUStVEVx2LQyfvx4+887d+6s9trs2bO57bbb2LBhA++//36Dm6Pr/KvKyclh3bp1+Pr6UlhYKIsdCK92RZSekw/7sjvdxiVtdbQN8NwEfN7cIQbGRutIPmVjWGcdUcHNszlQeKhm9Cfm5+dHSUkJfn5+zJ49m+TkZPtrgwYN4sUXX2TTpk1YLBZefPHFBn12nUm4W7du9iUHAwICHNbk3b17d4NGgAnh7gJ9FUZ18a5ng2Pb64htL8lXeLcxY8YwefJkRo0ahc1m49dff6Vz58721zt37mxf5Kih6kzCX375JSdPnrTvZ2Zmsm3bNqBygYbDhw/z8ccfX9RBhRBCiN/TnEZHP/nkk3z88cds27aNsrIyxo8fj6+vLzExMVxyySX06tWLXr16NXiiDvidJNy2bVuio6NRzv1DVK0Jq6pKXl7eRZyKEEII8cea23PC48ePZ/z48ezcuZMvvviCQ4cOceDAAQ4cOMCKFSs4evQo+/fvb/Dn1pmEH3/8cYcm6KpGjhzZ4IMJIYQQ9dGcasJVnW8Rjo2NJTY21l5eXl5+UZ9XZ2fP7yVgqGyeFkIIIZyhOY2Org+TyXRR72vwiIv8/HwSExP5y1/+clEHFEIIIf6IuyXhi1XvB//27dvH+++/z5YtW4iIiLCvMeztVFXl79/a+M8+K21bKPx1uJ4RnWU0qRBCNEZjk+6xY8d44YUXmDFjBnFxcWRkZJCUlERoaChms5lx48YBsGrVKoxGI1lZWUybNo3AwMCmCL/efjcJl5SU8Mknn/D+++9z+vRpoqKiSEpKIjw8nN9++81VMTZrryfbWLC18uHsw6dVxq2u4Ph9Rtr6e+Zd23ltnysmu7iyKWXNjQZu6H1xTTFCCFGbxibhqKgo/P397bM9PvXUU8ybN4/w8HBmz55N//79yc7OZs+ePSxatIjdu3ezZMkS5s+f3xTh11udVbaXX36ZsWPHsmHDBhISEti0aRNxcXGEh4cD0KlTJ5cF2ZxtOlJ9irKSCvjqeMOmLXM3vk9VJmAAG3DjugpN4xFCeJ7amqPz8/NJS0tz2PLz82v9DKOxcu7V8vJydu7cac9fERERbN++nS1bthAdHQ1ATEwMW7Zscc3JVVFnTfiOO+6gdevW5ObmEhERgdFotD+uJC7oHqLwyTHVocyTldUyK9vIN0v4+g4/1wcjhPBItT2ilJiYyJIlSxzK77vvPu6///46P+vs2bP4+/vb900mE1lZWeTk5NC7d28AfHx8yMrKaoLIG6bOJBwYGMitt96Kqqps376dFStWcOLECSoqKjAYDGRlZdG2bVtXxtoszbtcz7YTKskZKnoFHh6o41IvnGEo2E8W+BBCNJ3amqOnT59OfHy8Q/kf9eO2atWq2iNERUVFhIWFUVJSQklJib0sJCSkkVE33B8OzFIUhSFDhjBkyBDS0tJ45513KC4u5ujRo7z00kuuiLFZa+Ov8MMdRr45YaVDgOIV8+vqFLDVyLmPD/PgJYWEEC5XWxIODAy8qIFTJpOJvn37kpaWRlhYGMePH2fmzJmcOXOGlStXApCamsqoUaMaHXdDNWhZlLCwMG677TZKSkp49tlnnRWTW8kvU7lpfQWfHrPhb4S/Dtfz0EDPXm1mdJSeL45eaJPW6RTamz27Cf687CKVEL/KcxZCOE9jB2adPHmS48ePk5ycTGxsLPPnz7cPLJ40aRLt27enffv2REVFsW7dOtLT05kzZ07TBN8AilrHQsFnzpwhODi4zjfm5OR43GNK6enpTJw4kY0bN9KxY8d6vWfB1xU8u716J+nBu43EtPbcGvGO32xc+Z8yCs+17jw0SM+LYz17dPShbBuT15azP0ulc5DCyuuMDO3sXYs5COFKz47+1qFs/peXaxCJc9VZZVu5cqX9OaqaVFXl008/5YEHHnBaYO5i8zHHkdA70mwenYSzilSKLRf2T+R5fn/wrI0W9mdVnuevuSq3vG/hlzk6qREL4SSeOjlHTXUm4XfeeYdVq1bZn7FSFIWqlWZFUSQJU/tI4QrPfkKJ57+pqOwT1ld2Dr930EZqjo1uHnzj8UN69f+pJ/JUsoqgvVmjgITwcF6fhB999FEmT55s33/77be57bbbALDZbHzwwQdOD84ddA1WOZBds8xzkxFAbrkK/obKEVqqCuW2Wm9GPMmwzjo+r9Lq0b21QrsADQMSwsOp3pGD656so2ZTdNVnhHU6HVdddZXzonIjBr2uMhlV2RTFs5tnTS3OJWAARUHx0dHaw2cIWzHJyJVROgw6iAtVWHujSZ6bF0I0Wp01YYOh+ks1x2/VfN1blddSA8wp8eyLs6XGPYaKwm8F0MGDa4adWur4fJo8hiWEq3hLc3SdNeEvv/yy2n7Nu/6vv/7aORG5mem99UzYlcqryz7lmVVbuSwrm6u6ePaX57qu1c8vIhD6ttMoGCGER/KWVZTqfERpwIABBAQE2JNvWVkZPj6VNQFVVSkuLmbnzp2ui9QFLuYRpSN3/o+Tb6ayr3NbgopK6ZydT9yxG/GNdO1KHK5UYVN55jsbq1NUegTDCyP0dG3lmX8gQghtLLz6e4eypz4doEEkzlVnm/J1113HlVdeWWu/l81m02Si6+Zo57YzzH0onvSQymGy478/wr8WHyDq5UEaR+Y8x3LhPwdVfsmDX/Jh1C+qJGEhRJNS8Y5rSp1J+Pbbb6d9+/Z1vvH8ahTe7uXhl9oTMMDHA7rStSKDlzWMydke/6+NX/Iqfy63wiNbbdzUXfH45RuFEK7jqc3PNdWZhGtLwGlpaXzzzTd069aNvn37OjUwd7G/UxuHsi/aeXYHaerZ6j0YFltljbitfx1vEEKIBvL6JDx27FgiIiK47rrrGDNmDHv37uX+++8nKCgIs9lMfHw8119/vStjbZYsxppj21R6tNIkFJe5povCwdMXEnFoAPSVBbWEEE3I65Owj48PixYtIjAwEKvVytNPP01UVBSvvfYaPj4+PPPMM5KEAR+9QqlFxd59oUKIhzfL/nWwDptq48NjKl2DFJ4bpsOo9+xzFkK4lrdM1lFnEh45cqR9yaj169dz4sQJ/vOf/+Dr6wugybqLALt372b//v0ADB48mK5du1Z7vby8nI0bN7Jr1y4WLVrk9HhMOigFqNJCa/Dwef19DAovjNDzwgitIxFCeCqbl9SE63xOuLi4GIBTp06xdOlS4uPj6d69u/31n376yenB1VRWVsbixYuZPn06CQkJLFq0yGESEZPJxIABA8jNzXVJTJe2d/yixHf18CwMXLGmghYvVxC2tIJd6R4+Z6UQwuW85TnhOmvCgwcPJiEhgczMTLp06cKf//xnAI4dO8aaNWs0ScJ79+4lKCgIRVEwmUyUlpaSkZFBhw4dqv2e0Wj8w88qKCigoKCgWllmZmaDY1p7rZ5L36ogvaCyRXpyT4UrIj177ug+b1ew59x82ScLYeAqFctDVvR6z7/5EEK4hqcm3ZrqTMLDhw8nNjaWnJwcunTpgk5XmVh0Oh1TpkxhypQpTg3sjTfeIC0trVrZ5s2bq81ZbTKZyM7OdkjC9ZGUlMTy5csbHWebFgqz++l5c4+Vti0U7rrU8xPR3mwVqjzDpwKLdsE8z300WgjhYt7SHP27E0AHBQURFBRUrSwyMtKZ8djdddddDmUTJkxg7dq19v3i4mKCg4Mv6vMTEhKYMGFCtbLMzExmzZrVoM9Z+qON7nf9g/2Hf6LI5MMT46bS699jPPuZ2eo5GFSVtn5aBSOE8ETeMjDLrdpN+/TpQ1ZWFlA5AMtgMBAWFkZFRYVD0/IfMZvNdOzYsdrW7iKe742++0Vu3L8Tf0sZbYvyeX3dG+z87JcGf447aWlUK5cwPM8GPT14LWEhhOupKA6bJ3KrpZBMJhN33nknb7/9NjabjQULFgCVi0kkJyczd+5crFYru3btIisri+PHjxMREeHUmAbv+bHavgJctnQ1XDffqcfV0vAgCz1e+54hh34jLSSQpdf0o0+7UK3DEkJ4EG9pjq5zAQdvdDELOPzWciad8s9UK0seNIC+385zRojNwjODvmbEjmP2/bP+vnTddwM9In01jEoI4UkeuOGgQ9m/3uupQSTOJW2IjfT4mJso019oUDjQNpTXu12uYUTO1y21+ijyVkWlnP7oN42iEUII9+VWzdHN0cF2nQh48m1uS97Kz8Ht2NalJ5NCCrUOy6kMrUxQpfJfrtcxaLzMWymEaDre8oiS1IQbSe0TSceCsyT2G0FyaBeCiwqYOuLiRmy7jUVDONKhcoLsQh8jn93YF7+olhoHJYTwJDbFcfNEUhNupHXxBvr9uw2Wcsj1MzCsE9wQ49nPCr9YHMy3D0yk/ZlCzgb4UmYycMcZlW7BHvpXIoRwOW+pCUsSbqSuITryHzHx1XEbncyV+65UYVMpsYDZx3Vf2PJzs1RmBAfYy8pk5kohRBOyNeKRJJvNxuuvv05UVBQ///wzo0aNomXLliQlJREaGorZbGbcuHFNGO3FkyTcREZFuL5lP2mflTmfWcguhqujdayKN9LKz/nJ+P5+OqZvqrBP2jGis47ebbzjrlUI4Rq11YTz8/PJz893KA8MDLQvOARw+PBhzpw5wz333ENqairr1q0jLS2NefPmER4ezuzZs+nfvz9t22o/lkX6hN1UZqHK7RsrEzDAp0dtPLm1wiXHHtgBOphUsKgYKlSuiXDJYYUQXqS2PuHExERGjx7tsCUmJlZ7b1RUFMnJyezZs4c9e/YwdepUdu7cSXh4OAARERFs375di9NyIDVhN/VThs3eLHzerpM2lxx77hYrp84NAK+wwfyvrNz6J71nT9UphHCp2ibrmD59OvHx8Q7lVWvBUDmx01/+8hdWrFiBv78/gwcPxt/fv9rr52df1JokYTfVv6MOX51KaYm1cgpJg56h4X+8elRTOHy6+vwu5Vb45awqSVgI0WRqa46u2excl6ysLNavX8/ixYtZtmwZr7zyCuXl5fbXi4qKCAsLa9J4L5Y0R7upliYVS2E5WKyV1dFSC3n5Fpcc+5qu1b82Hc3Qt4MkYCFE02nMI0p79+7FZDIBMGvWLNLS0ujbt699Zb7jx48zdOhQZ4TdYFITdlMv/q8ca43W55U/WFh+g/OPfXc/+Of3YKkAFBjXTYdRL0lYCNF0GrNgw7Bhw/juu+/YvHkzFouFe+65h7CwMJKSkggPD2fSpEm0b9++CaO9eJKE3dTpEscpv60umgU89t82LKoCusoDrvhJ5flRVoL9PPv5aCGE6zRmAQeTycQTTzzhUP7YY481JiSnkOZoN/XoMB+HssERrkmChSU1ljJUVR750jWDwoQQ3sGmKA6bJ5Ik3BTe2Qbd7oUh8+FEtksO2SZAx+jeJs632Bh8dPz9mhYuOXZt+reXxbiEEE3HW6atlCTcWAvfxXrrYjhyCranYOlyL5SUOv2wh06rfJlhgJa+0NKHigBfXk52TSLU1fLHYNDJV0kI0XRsKA6bJ5IrZyP98tp/0XMh+RmtFRTdudzpx00vtFXOFVmhghUos7Iv0zVzR8aEqFx2IoM7dh9k0sGfCSwr54Ye8lUSQjQdVVEcNk8kA7Ma6Rf/YCJzqq+vuyY3iBlOPq4BoEY3rGpxTU3476VppB64sH7w5blnaeU3yCXHFkJ4B09tfq5Jqi+N9HrclVh0FwZEHQrpyPYbr3H6cf0Mjt/QyJau+dYe/+RUtX19Xhm/7j7rkmMLIYQnkZpwI3WfNYhBAcHcdHAnWf6BJMYO5djkP57RpbHiQnWMjtTx5S+V1WGDDh4e5JrR0TZb9Rq3ClhKZXS0EKLpeOpo6JokCTfS01f6EBXcg79ti6aNP+y40YcAX9ckw4+nGll70MaJPJVru+vo1dY1DRtRw9uwY+sZUtu0IqS4hO6lxXQZFOySYwshvIOnDsSqSZJwE7itn4nb+plcflwfg8Ktf3L9BBm+U7uyyGDFcu6P5JYuNvQG6dkQQjQdq3fkYOkTFg33t52qPQEDrPpZxy+58pywEKLpeMtkHVITFg2WW1Z9XwVyS1XwkuYjIYTzyeho0exVWFXWH6jgn9st/HzGdQOj7vhT9a9Nv/YKl7aXr5IQoul4y2QdUhN2Y/Gryth0uHKCjsc/h89v82VYpPP7iO/rryfEDz48otK1FTwYJws3CCGaltVDm59rkiTspn44abUnYICyCnjuv+UMi/RzyfGn9tIztZdLDiWE8ELe0hwtSdhN5RQ7DoQ6lKNBIC5WYVX59JCFvFKVCb2MtPSTZnAhPJHVQ5ufa5Ik7KZUgwJ6pdoiwgYXJSSrTeX5b618mGojqpXC08MNRAU7/w/GYlUZuaSA7b9UANDOrPDdnEAiQ6Q5XAhPI48oiWbtktY6FD89qDawWsGgMKyLa5LRU/+tYMFWK7vSVd49YGP0ynKsNuc/ovTJQYs9AQNkFqj8a5vzV6wSQrietzyiJEnYTQUaVcgrhQob2FQosXAqw+KSYyfuqn6cXwtg10nnj87OLXFM9LWVCSHcn1VRHDZPJEnYTb2xy4JaI+/995hrkrBPUfXjKKqKklvu9ONO6GWktf+FP0SdArfF+Tj9uEII16uoZfNE0ifsplr6ON4VuupJ4XYmlSNVKqAmq41uHY1OP26wv47v5gTyr/+WkluiMuMyH0Z0df5xhRCu56k135okCbup6BBdZVWwSl9sRCvXNGxkBfpB3oX9MoOeY2V6XLGEQ3QbPa9c7++CIwkhtFThHTlYmqPd1ZAIPZ2DlMqZInWV39b7B7lmEQlzi+p/HQoQavaSvxghhEtUoDhsnkiSsJsyGRQSLjWhMxpAryc0xMA1Ma5p2LDU+GNQdQqFrumOFkJ4CYviuHkit2uO3r17N/v37wdg8ODBdO3atdrrmzdvZs2aNZw5c4YHHniAUaNGaRGm0/161sYLW8vpUFqOHsgt17PwSwNvXe/8gUom/blnlM+v2aAolHnqqAkhhNvavn07Z86coWvXrgQFBZGUlERoaChms5lx48ZpHR7gZkm4rKyMxYsXk5iYiMVi4d5772XZsmUo5zrwKyoq0Ov1/Pvf/+bo0aPce++9dSbhgoICCgoKqpVlZmY6/RyaSkq2lfaWCk4GtUBVFFpYrOw6UAIuSML399Mx/WPVvmjSiHCF3m099DZVCKEJSyMHZr3//vtYrVYmT54MwOzZs5k3bx7h4eHMnj2b/v3707Zt26YItVHcKgnv3buXoKAgFEXBZDJRWlpKRkYGHTp0AMBgMHDllVcCEB0dTXh4eJ2flZSUxPLly10StzMc/MVCmtkXzn1Ri416skutf/CupjGtt46OZvgwVSW6FcyMlV4NIUTTqq2HKz8/n/z8fIfywMBAAgMD7ftZWVm8+uqr3HPPPcybN4+bbrqJnTt32nNCREQE27dvJz4+3lnh11uzTcJvvPEGaWlp1co2b97MVVddZd83mUxkZ2fbk3BVu3fv5qabbqrz8xMSEpgwYUK1sszMTGbNmtXIyF3j1wIVlOrJL9fguukbr4jQcUWEyw4nhPAyxbXUhBMTE1myZIlD+X333cf9999v3//qq68YOnQoN9xwA2FhYUyZMoXWrVvbXzeZTGRlZTkn8AZqtkn4rrvuciibMGECa9eute8XFxcTHOz4YExeXh6ZmZmMHz++zs83m82YzeamCVYDZxU9qKq9Jgye+zC7EML7lNTSGj19+vRaa69Va8FQWWMOCAgAYODAgQQGBnL69Gn760VFRYSFhTVtwBfJrdoR+/TpY797KS8vx2AwEBYWRkVFhb1/Ny8vjx07dtgTcHZ2tmbxOtPoLnqwWCufE1ZVsNrwkXUMhBAeohzFYQsMDCQsLMxhq5mE4+Li2LdvHwBWq5XQ0FBGjBhhb109fvw4Q4cOdfk51UZRVdWtJt/95ptvOHr0KDabjcsvv5wePXrwxRdfkJyczB133MH999+PwVBZwc/Ly2Pp0qWEhobW67PT09OZOHEiGzdupGPHjs48jSbR/rkiMgsv7L91rZHb+7vmWWEhhHAm5cEzDmXqy/WfEmj58uUYjUZ8fHyIjY3FbDbz7rvvEh4ejr+/v0N3pFbcLgk7kzsl4dIKlahXykjPV+2PCr18lZE5A53fw1BSbiX2TSvHcsHPAMuu1pNwiVTDhRBNR3norEOZ+lIrDSJxLrdqjhYXfHPCRnoBlX3COgUUhXUHXTM6uudyK0fOVraEF1ng5o1WSspdc2whhPAkkoTdVHhLx1ELtZU5w695jmXP7ZAGFSFEE1IUx80DSRJ2U91CdDw08EITcIcAWDjcNYPdjbV8ay4P9cw/ECGERpRaNg/UbB9REn/sxTFGrummY282zPiTgtnHNfdUfxmq47nNBQw/foijwe0o6daJq6KkT1gI0ZQ8NOvWIEnYjf3fN1b+vlPFpsLLP6psuVEhupXzv7jzPl/H3GfWXWhG6dgK7n3T6ccVQngR78jB0hztro6eVXl2h2pfTvjXfPjLtzbXHPzv66t/cdLPwqbvXXNsIYR38JLmaEnCbup4vkrNoVA/57locFRFLSOhfzjmmmMLIbyEd2RhScJuanBHhbYtqpfFR7vof2dUe8eyede55thCCO/gHTlYkrC78jMqbLlRz/hI6BUCfx+q4+EBLvqWHvgn9O4MBh0EtYAPHweTzNQlhGhK3pGFZWCWG9uWWs7XyaUUW2B9oZ7pMS3oEOiCL6rJxNGvX+TTI1aignWMjdbJ3ZwQQlwEScJuKi3XxpyPSrGeG4v1/W9Wnvy8lOU3tPj9NzaBz45YmbCqDMu5ruFbYvWsvMHH6ccVQngRz6z4OpAKjJs6kGm1J+Dz9mW4ZnT037ZZ7AkY4J09Vo6edtHIbCGEd/CO1mhJwu5qUGcD5vOVz3NfzjFdXdOwUWRxHIVdVO6SQwshvIZ3ZGFJwm4q0FfhloEtUAJM4GeiVRsfZg1yzeCou/obq+0P6qQjtoN8lYQQTcg7crD0CburE/k2lu6wcH62jrO5MO3DCr6+1fmJ+M4BBtoFwIcpVroG67jnMvkaCSGamIcu2FCTXD3d1Jr9VnsCPm/3rxWAa2rDk2IMTIqRr48QQjSGXEXdVK/WjneJta1uJIQQbsk7KsKShN2VXgVQqfpNbecjI5SFEJ7CO7KwJGE3FdtRh0G1UWGjsu/EpjIqyviH7xNCCLfgHTlYRke7q/ZmHTf18wE/I/gZCQwycu/lMmGGEMJDeMnoaEnCbiotX+Xdg6p9BGG+ReHlnbWsbiSEEG7JO7KwNEe7qQNZNqw15szYlyV9wkIID+GZOdeB1ITd1KBOOgJrtD6P6SL/O4UQwp3IVdtNBfoobJxiYkBHhXb+cN8APQuGSsOGEMJDeEdrtDRHu7PhETp2zZTBWEIID9TIGbNKSkq46aabePXVVzEYDCQlJREaGorZbGbcuHFNFGTjSRIWQgjhFvLz88nPz3coDwwMJDAwsFrZu+++i49PZSXlqaeeYt68eYSHhzN79mz69+9P27ZtXRLzH5HmaCGEEG4hMTGR0aNHO2yJiYnVfm/Dhg1cffXV+Pj4UF5ezs6dOwkPDwcgIiKC7du3axF+raQmLIQQovmppTV6+vTpxMfHO5RXrQV///33hIeH06FDBwByc3Px9/e3v24ymcjKymr6eC+SJGEhhBDNkGMWrq3ZuaZ33nmHM2fOAHDo0CGefvppcnJy7K8XFRURFhbWtKE2gjRHCyGEaH4ucnT0v/71L1auXMnKlSuJiYnhlVdeYcSIEaSlpQFw/Phxhg4d6qSgG05qwkIIITza/PnzSUpKIjw8nEmTJtG+fXutQ7KTJOzG0gtV/vG9jRP5MLm7wuQe0rAhhPAQTfBc8MqVK+0/P/bYY43/QCeQJOymKmwqI9ZYOXK2cv/9IypFFri9tyRiIYRwF3LFdlPfpKn2BHzevw/I3NFCCA+hKI6bB3K7mvDu3bvZv38/AIMHD6Zr167VXv/xxx9ZvXo1R44c4f7772fkyJFahOl0IX6OX8gQX8/8kgohvJCXXM7cKgmXlZWxePFiEhMTsVgs3HvvvSxbtgylyh2S2Wzm+eef56effiIpKanOJFxQUEBBQUG1sszMTKfG35R6t1G4OUZh1aHKpZTMJlgwUBo2hBDCnbhVEt67dy9BQUEoioLJZKK0tJSMjAz7Q9kA0dHRAGRnZ3PbbbfV+VlJSUksX77c2SE71Tvj9cz6k8qJfJWxkQptWnjJraMQwvN5yeWs2SbhN954w/5c13mbN2/mqquusu+bTCays7OrJWGobLJevnw5sbGx9OzZs9bPT0hIYMKECdXKMjMzmTVrVhOdgWsM7+TBy4sIIbyYd1zXmm0SvuuuuxzKJkyYwNq1a+37xcXFBAcHO/xe//79SUpK4qabbiI3N5egoCCH3zGbzZjN5iaNWQghRBPxjhzsXqOj+/TpY5/zs7y8HIPBQFhYGBUVFQ79uwaDgd69e0uiFUII0Ww125pwbUwmE3feeSdvv/02NpuNBQsWAPD111+TnJzM3LlzefTRRwkPDycyMpIbb7wRvV6vcdRCCCEazEtqwoqqqqrWQTQX6enpTJw4kY0bN9KxY0etwxFCCK+lPG9xKFPnGjWIxLncqiYshBDCS3hJTdit+oSFEEIITyJJWAghhNCINEdXYbVaAfeaOUsIIZqDtm3bYjA0YUrx0Lmia5KBWVX8+OOPbjdZhxBCNAcyoPXiSBKuorS0lEOHDhESEtLgO7rzs20tX76cdu3aOSnC5kXO2fPP2dvOF+ScL/acm7wm7CXkX6wKX19fLr300kZ9Rrt27bzublDO2fN52/mCnLNwDRmYJYQQQmhEkrAQQgihEUnCQgghhEYkCTcRs9nMrFmzvGrBCDlnz+dt5wtyzsK1ZHS0EEIIoRGpCQshhBAakSQshBBCaESSsBBCCKERScJNYO3atXzwwQcsW7aMgoICrcNxusLCQh599FGuv/56HnzwQUpKSrQOyWVKS0tJSEggPT1d61BcZseOHWzevJkjR45oHYrT2Ww2VqxYwZdffsmbb77J0aNHtQ7JaY4fP86DDz7IDz/8AFTOmvXqq6+yfv16Pv/8c42j8x6ShBspJSWF/fv3Ex8fT1xcHMuWLdM6JKf78ccfWbhwIe+99x5+fn5s3LhR65Bc5r333sNkMmkdhsts3LiRU6dOMXbsWLp27ap1OE535MgRcnNzGT16NMOHD+fDDz/UOiSniYiIoEWLFpwfm/v8888zadIkrrvuOjZv3kxOTo7GEXoHScKNtHXrVrp06QJAt27d2LZtm8YROd/QoUMJCAhAURR69+5NmzZttA7JJT7++GOuuOIKr0nCOTk5LF++HJ1Ox1NPPUVKSorWITldZGQkP/30E/v372f//v1cf/31WofkVEajEYDy8nJ++OEHwsLCAAgPD2fHjh1ahuY1JAk30unTp2nZsiUAJpOJ7OxsjSNyrfT0dIYNG6Z1GE6XnJxMWFgY7du31zoUl9m2bRuXX345kyZNYvz48Tz00EPYbDatw3Iqk8nE448/zsqVK9mzZw+hoaFah+QSeXl5tGjRwr7vjdcyrUgSbqTg4GBKS0sBKC4uJjg4WOOIXOfrr7/m5ptv9oqVU9auXcurr77KnXfeSWpqKvPnz+fs2bNah+VUBQUF+Pv7A9C/f39KS0vJy8vTOCrnysnJYdOmTTz//PN07tyZRYsWaR2SSwQFBVFeXm7fLy4uplWrVhpG5D0kCTfSyJEjSU1NBeDo0aNeUSuEysE60dHRtG/fnqysLK3DcbrnnnuOZcuWsWzZMrp168azzz7r8Repfv36cfDgQQCsVisdOnTw+HPev3+/vYl2+vTpnDhxQuOIXMNoNBIbG2sfcHjixAkGDRqkcVTewfOrME7Wo0cPIiMj2bBhAxkZGcyePVvrkJwuKSmJpKQkWrVqhc1mo1evXsyfP1/rsEQT6927N4MGDSIpKQmTycQTTzyhdUhON3jwYHbt2sWWLVuoqKhg5syZWofkNKdOneLEiRPs2bOHSy65hIcffph169YRFhbGuHHjvGYtZa3JtJVCCCGERqQ5WgghhNCIJGEhhBBCI5KEhRBCCI1IEhZCCCE0IklYCCGE0IgkYSGEEEIjkoSFEEIIjUgSFqKZ2bFjB2PHjuW9997juuuuY8iQITzyyCNUVFRoHZoQoolJEhaimUlJSSEvL4/S0lLeffdd1q9fT3JysqxqI4QHkiQsRDOTkpLCyJEjueWWW/Dx8aFt27YEBATY131dvXo1GzZs0DZIIUSTkCQsRDOTkpLC8OHD7fsFBQWcOnWK6OhoAA4fPmz/WQjh3iQJC9GMFBYWcvLkSXr16mUvO3ToEEFBQXTo0AGA1NRUPvvsM+6++27uueeeakvQCSHciyRhIZqRlJQUAgMDCQsLs5cdPHiQmJgYACwWCydPnuT666/n9ddfp23btuzatUurcIUQjSRJWIhmJCUlhR49ejiU9ezZE4Bjx44xaNAgIiIiAPD19cXX19fVYQohmoisJyxEM3LLLbdwyy23VCt77rnn7D8fPnwYna7y3vnMmTP8/PPP9OnTx5UhCiGakKwnLIQbWbRoEVarlfz8fIqLi/nzn/9MVFSU1mEJIS6SJGEhhBBCI9InLIQQQmhEkrAQQgihEUnCQgghhEYkCQshhBAakSQshBBCaESSsBBCCKERScJCCCGERiQJCyGEEBr5f9sVQnlFj144AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bu7eHliA/+PhwORFBCo9eq0OjSCIWQjRuVbWI8/LyyMvLcygPDAy0tYD79OljK9+0aROjR48mNjYWk8kEQEREBDt27CAmJsZJkVdNErGbGxutZWy01tVhCCGE26gqEcfHx/P66687lM+cOZNHHnnEoTwpKYlRo0bh7+9vK9Pr9WRlZdVvsDUgidjFhi/JY8tRCwBjuvmw7gGDiyMSQgj3VlXX9OTJk6tsyZ5vDV8sNTWVyMhImjdvjtlstpUXFhZiNBrrM9Qa8ehEvGbNGnx8fMjOzmbSpEkYDBVJTFVVJk6cSGlpKYqicObMGVatWoXRaGT79u28+OKLADz66KPcfPPNLot/1icFfJNssR1/dqiM578s4u8jm7osJiGEcHdVtYgv7oK+nA0bNnDbbbeh1+vp1asXaWlpGI1GUlNTeeCBB+o73Mvy2ER85MgRDh06xHPPPcf+/ftZtmwZTzzxBAAnT55k4cKFtm828+fPx2g0oqoqBw4cYOPGjSjVjLXm5+eTn59vV5aZmemUOny4t8yh7J3dZknEQghxCXW9j/jUqVOEhoYCMGfOHBISEjCZTIwbN442bdrUR4i14rGJODExkaioKAA6derEvHnzbIn44q6FI0eOEB0dDUBycjI7d+5k06ZNzJw5k1GjRjm8bkJCAnFxcQ1QAwgPUsgqsO9k6dBS7hEWQohLqesSly+88ILt3+Hh4cyePbuOr1g3HpuIc3Nz6dq1K1AxwJ6dnV3l87755htiY2MBiI6OZuXKlRw/fpzHHnuMtm3b0rNnT7vnx8bGMmbMGLuyzMxMpk2bVu91+OwBAxHPncPyx86Gvjr4+D7/S18khBCNnKys5SaCg4MpKSkBoKioiODgYIfnqKrK2bNnHc6ZTCYeeughDh8+7JCIDQaDbazZ2cKCtJQtDOb1/5bgq4Vp1/k5PCftRCn7fyykRUsf+vYPQKfzrg+gEELUliRiNzFs2DBWr14NQEpKCkOGDCE/P58mTZqg01VU68cff6RXr162a6xWKxpNRddvQUEB/fr1a/jAqzBzsGMCBjh0sJDFL5+ivLzieOf2PP7yZFgDRiaEEO5Hdl9yE507dyYyMpJ169bx/fffM336dJYsWUJiYqLtOdu2bWPo0KG247fffps///nPrFixgnbt2tGhg3vvZLR5w1lbEgb4+adifk+VNS6FEI2b7EfsRu69916747/97W92x+cnb5334IMPOj2m+mS1On7vKy/3tu+CQghRW56deCvz2BZxY3DjyCAuvsuqfUc/otpX3Y0thBCNhbSIRYPp3TeA8Y+E8f5uM5HNFWbEyIxqIYTwtn5BScRubHNKOeO/VChXfeEM7Pu0nK/ukXWnhRCNm6e3gCuTrmk39vL/yrl4SPjrY1b2nrK6LiAhhHADahUPT1ajRPz5559z9uxZJ4ciKqtqXla55GEhhPAqNUrEb7/9NuUX30dDxX24wrke7ae164C5Llyhb5h0YgghGjcrisPDk9VojHjixIl89dVXtjWbrVYrX375JXPnznVqcI1dTBct26cqfPJLORFBCvf1lPFhIYTwtjHiGiXir7/+GqvVardYRlpamrNiEhe5LlzDdeHSChZCiPM8fUy4shol4lmzZjmsyXzkyBFnxCOEEEJcUqNsEffs2ZNNmzaRmJiITqdj9OjRDBo0yNmxCSGEEA68LRHXqM9z+fLlvPvuu4SFhREdHc3WrVttGy4IIYQQDcnbbl+qUYs4KyuLjz76COWi9RZXrFjhtKAas6sW5pGUpdI2EH6Z6YvPC5uxfrwPJSIY3b/Go+nbztUhCiGESzXKFrHJZLJLwiBjxM7QdO45DmWolFnh+FkYOjOF8gVfox7LwbolGfOoN1CLzK4OUwghXKrRrDWtqqot+ZaUlBAfH4/RaCQnJ4evvvrK7bcQ9ETFZfbH+1qFsrXjVSS1jSS4MI8Rh3+g1e5UtMM6uSZAIYRwA57eFV1ZtYl49uzZDBo0iHHjxnHvvfeyevVq4uPjUVWVG264gXvuuach42yUVEXhg3434fPHp+6X0Aieb9/StUEJIYSLeXoLuLJqE7Gvry/jxo0D4Pvvv2fSpElMmjTJdj4nJ4eWLSUp1KemPlB0Uas4srjEloQBsgzNOVbchI4NH5oQQrgNb2sRVztG3KFDB1JTU8nIyGDfvn1kZGTYHunp6Xz22WcNGWejUPhCM3qHavDRQPsWCjPaOS4sHWCQ1bWEEI1boxkjvvnmm/nPf/5DcnIy586d44svvrCdU1WV3Nxc7r///gYJsjHZ85jB9u/UY3qO/HKSMnPF97++/QNoG6p3VWhCCOEWPD3xVlZtIm7Tpg3/+te/AFi5ciV333233fktW7Y4N7JGYs76At7cXoqiwP/d0ISnRja1nfv1dzN55QpaDVgVheQTZVitKhqNd30IhRCiNrxtE7oa3b5UOQkD3HDDDfUeTGOzaGsRr2wppdAMBaXw7BfFrPqhxHb+u+0FoCiUazSoikJGpoXklFIXRiyEEK6nahSHhyeT3QRc6NWtJQ5lL3xZbPu3IcBxPNgQID8yIUTjpiqOD08mf9VdKNDP8dPTvMmFstvGB9HkoucMHRJAmIwRCyGEV6nREpfCOd6725/rFubbjhXg/XsvTNaKivTlP6+E89NPxbRspaNTBz8XRCmEEO7F07uiK6tRIj516hSvvPIKLVu25C9/+Qtr1qxhxIgRhISEODs+r9YzTMtLR37mgNIEDSq9dSW0bzXE7jmGAC3XDQhwUYRCCOF+VC/ry61RdZ555hnCw8Np3bo1er2ewYMHM2/ePGfH5vU++8sBrGfNXHXmHN3O5FGSbeaLZw65OiwhhHBrqlZxeHiyGiXifv36MWvWLMLCwgDQarX88ssvTg2sMchOyncoSz9wxgWRCCGE57BqFIeHJ6tR17RWqyU7OxtFUSgsLOSVV16hV69ezo7tstasWYOPjw/Z2dlMmjQJg8Fgd/7hhx8mNTWVkJAQ3nnnHVRVZdmyZZhMJnJycpgyZYprAv9Dm+7N+G17jl2ZqU+wi6IRQgjPUB9d0zt27OD06dN07NiRoKAgEhISCAsLw2AwMHr06Lq/QS3UqDoTJkxg6dKlLF26lPHjx+Pn58fTTz/t7Ngu6ciRIxw6dIiYmBj69evHsmXL7M4nJiby8MMPs2nTJpYvX45Wq2X16tWEhoZy6623YrFYSExMdHjd/Px80tPT7R6ZmZlOqcO4l3sSEOJrO25mbMLwv3dzynsJIYS3qOo+4ry8PNLS0hweeXl5DtevXbuWkydPMmbMGDp37sz8+fOZMGECEydO5PPPPycrK6tB61OjFrHBYHAYE87IyHBKQDWVmJhIVFQUAJ06dWLevHk88cQTtvN79uxhy5YtdOvWjSeffJIWLVqQmJjIrFmzAIiOjmbLli0MHTrU7nUTEhKIi4trsHo8sH4w5eXlQEXPgxBCiEur6r7h+Ph4Xn/9dYfymTNn8sgjj9iOs7KyeOONN3j44Yd56qmnuPPOO9m9ezcmkwmAiIgIduzYQUxMjNPir6xGibhyYiotLSUjI4Pnn3/eKUHVRG5uLl27dgVAr9eTnZ1td/7//u//ePzxx3nvvfeYN28eb7zxBrm5uQQGBlZ7DUBsbCxjxoyxK8vMzGTatGlOqokkYCGEqI2qbl+aPHlylcnz/N/887Zs2cLgwYOZMGECRqORiRMn2u0kqNfr3bNF/NNPP9G9e3fb8YkTJ2jXrp3TgqqJ4OBgSkoqVqYqKioiONhxbFWr1fLAAw/YxoIrX9O8eXOHawwGg8NYsxBCCPdhraJFHBgY6JB0q5KXl0dAQMUtof379ycwMJDc3Fzb+cLCQoxGY73FWhM1SsRz5syhTZs2tmOz2cyrr77qtKBqYtiwYaxevRqAlJQUhgwZQn5+Pk2aNEGn02G1WtFoNJSWlnLNNdfYrklKSqJTp06kpKRw/fXXu7IKQgghrkBdFvTo168fCxcuBKC8vJywsDDatGlDWloaRqOR1NRUHnjggfoKtUYUVVVrvcdyRkYGU6ZMYfPmzc6Iqcbef/99AgMDycjIIDY2lqVLl9K7d2/69OnDtGnTuPbaa2nXrh2jR4/G398fs9nM0qVLiYyM5PTp00yePBlFufwPND09nbFjx7J+/XpCQ0MboGYX7NhZwPd7CmnVUscto5rRPEgWQxNCNG4ftfnQoez2jDtrfH1cXBw+Pj74+vrSo0cPDAYDH3zwASaTCX9/f4fhSWerUSLu27evLWGpqkpAQACTJ092+e0/DeVKE3FhQTmrlmdx+GARoeG+xE5uhdHke/kL/7AlMY+337vQZdK2rQ8vvRgm2yAKIRq1NW1XO5TdcWqiCyKpYLVayc7OJiQkpEaNu8pq1Lx67rnnGDVqVK1fvLFLiM/m+/8VAJD8SzFvLDzFCwvb1TiRfvffArvjU6fKSE4ppXMnWXNaCNF4VTVG7EqTJ09Gq9VSWFiIr68v0dHRtbrFt0aJuKoknJKSQocOHWoeaSN0+Kciu+PsrDKyM8to3bZmOyj5V7HloWyDKIRo7Nxt0wetVsvy5csBKCkpqfXKk9Um4scff5zi4uIqz6mqSlpaGhs3bqzVmzU2zYK05OeV2459fBSat6j5GG/M2Ob8cqSEkpKK0YMhg2QbRCGEcLf9h/v27cvJkycJCwvDz8/PNkG4pqrNCp06deLqq6/Gz6/qbtBdu3bVLtJGqKzMfvi9vFzFXKqir2Eu7dDel/+8FM6Bn4po1dKHztHSJS2EEOoVjMM607fffsuKFSsYOHAgV111Fd27d6dPnz41vr7aRHzfffdVm4SLi4tp37597aNtZMrM9onYaoXSUisBhpot4GEutbIuIZu9uwsIbqnj9ntb0eUqf2eEKoQQopb++9//MnjwYD788EMUReHo0aMcPnyYzZs3108ivjgJ5+XlsWvXLsxmM1AxQ+ybb75h8eLFdaiC9xs8LJDPPj5tO+7SvQktWvrU+PrPP8rlf4kV66SmnzDz5ivp/GtJFE2aykpcQojGy10ma51fIOqee+5BVVU6dOhA165da71pRI0GLOfOnUtAQAA5OTkYjUZyc3Nt6zyL6t0aE0zzYB2HDhQRFq5n+CjHlbwu5cCP9rOmS0tUfv+1lM5XNa3PMIUQwqO4S9f08OHDAVi9ejUWi4WUlBR+/vlnNm3aVKsdCmuUiAcOHMidd97Jp59+SkxMDOXl5fznP/+5osAbE0VRGDS0GYOGNrui682l1ipes9brrwghhFdxt8laRUVFHDt2DKPRSOfOnWt9fY3XmlYUheuuu46FCxfSrVs3vvrqK7vdjqpTXl7O+vXrSU5Opnnz5lx//fVER0fXOtDGqHmwD2dPl9uV+fjK7UtCiMbN6iYt4vNiY2OJjIzk3LlznD17FqPRWKuh2xol4qlTp7J582bCw8OJiopi+fLlTJo0qUZv8Pzzz7Nz504GDx5MUlISq1atYuTIkTz55JNoNJJULuWG0UG8s/jCdpOmSF8iO8jMaSFE4+ZuLeLmzZvb7b9w4sSJWl1fo0Ss0+mYMWMGAOPHj2f8+PE1foPExERWrlxJWFgYULF94dy5c3nnnXecurWgN+h7XSD+/lr2fV9Ai1Y+DBne7IqWTxNCCG/iLmPE502YMME2gxogPDy8VtfXKBG/8MILjBw5kpEjR9q2j6qpoKAguy0KW7Rowfz583nggQckEddA1x7+dO0htywJIcR57paIv/nmGw4cOIDBYCAqKoru3btz//331/j6GiXiF198Eb1ez+bNmyksLOTaa6+95IB0fHw8HTp0oGPHjjz00EOsWrXKblupli1bUlRUVO31QgghRHXcrWs6MzOTLVu2APDbb7/x888/1+r6GiXili1bAjB27Fg2b97MjBkz6N+/Py+88EKVz9+3bx8ffvghubm5GAwGiouL+fnnnxk1ahTBwcFs2rSJCRMm1CpQIYQQAtxvrekBAwaQnp5OaGgokZGRREZG1ur6GiXiN998k9LSUjZs2EB0dDTz5s1jyJAh1T7//K1Np0+fJikpiSNHjpCUlMTSpUs5efIkGo2Gfv361SpQIYQQAtyvazoxMZEPPviAAQMG1O8SlxdbuXIl48aNIy4ujoiIiBq/eHBwMAMGDGDAgAG2ssLCQpKTk0lKSqrx6wghhBDnuVuLeO3atXYLetTbEpcXW7BgAdddd90VB3kxf39/rrnmmlrvTuHJzp6xEGDQotO514dHCCE8kpu1iGfPns2LL75I586diY6Opry8/PIXXaRGN/LWVxJubDJPmXnmb7/zfzN+Y/Yjv3FwX6GrQxJCCI+nahSHhyudOnUKne5Cu3bq1Km1ul5W1HCihPhsTp6o2Cgj71w57y7NoMzsuGylEEKImlMVxeHhbBkZGdWeUxSFgoIC27+t1tr9nZdE7ETHU0vtjgsKrOTmWlwUjRBCeAdV0Tg8nO2WW26x/Xv37t1256ZPn86UKVNYt24da9eurb+u6YKCAp5++mliY2NZunQpqiqbDdRW565N7I6DW+oIaV3zbRCFEEI4ckXXdJMmTSguLgYqEu/FBgwYwCuvvMLJkyc5ceIEr7zySq1eu9rJWgsWLGD//v107dqVDRs20Lp1a2677bYrCL/xip0SgqVc5eeDRYQZ9dx1XwgaN5vtJ4QQ4vJGjBjBHXfcwQ033IDVauX333+nXbt2tvPt2rWzLQVdW9Um4pycHD766CP8/PwoKCggLi7uit6gMTMEapnxeKirwxBCCK/iivuI582bx8aNG9m2bRulpaXccsst+Pn50aVLF7p37063bt3o1q1brRfzgEt0TXfq1Ak/v4qdfgICAujYsaPd+T179tT6zYQQQog6U6p4NIBbbrmFBQsWEBISwt69e3nnnXcYNWoUeXl5vP3224wZM+aKXrfaFvG3337LyZMnbceZmZls27YNqNhjOCkpiY0bN17RmwohhBBXytUra53PhT169KBHjx62crPZfEWvV20iDgkJoUOHDrZt9y5uEauqyrlz567oDYUQQoi6cPV9w9XR6/VXdF21ifjJJ5906I6+2LBhw67oDevTmjVr8PHxITs7m0mTJmEwGGznFi1axO7du1EUheeff97Wb799+3ZefPFFAB599FFuvvlml8QuhBDiyri6RVzfqh0jvlQShoqualc6cuQIhw4dIiYmhn79+rFs2TLbueTkZG655RYSEhKIiYlh6dKlQEVL/sCBA2zcuJFNmzZVmYTz8/NJT0+3e7i6rkIIIS5wxYIezlSjtaYvlpeXx6effsr777/Pt99+64yYaiQxMZGoqCigYmLZvHnzeOKJJ2zH51199dX89ttvQEWC3rlzJ5s2bWLmzJmMGjXK4XUTEhJkhrgQQrgxT0+8ldU4Ef/000+sXbuWb775hoiICNsexa6Sm5tL165dgYp++ezs7Cqft3v3bu666y4AoqOjWblyJcePH+exxx6jbdu29OzZ0+75sbGxDjPfMjMzmTZtWv1XQgghRK01qkRcXFzMpk2bWLt2Lbm5ubRv356EhARMJhMnTpxoqBirFBwcTElJCQBFRUUEBwc7PCc5OZkuXboQGmp/L6/JZOKhhx7i8OHDDonYYDDYjTULIYRwL3VNxDk5OUycOJGysjKGDx/OtGnTSEhIICwsDIPBwOjRo+sp0pqpNhG/+uqrrFu3DpPJRGxsLCNHjmTVqlWYTCYAwsPDGyzIqgwbNozVq1cDkJKSwpAhQ8jPz6dJkybodDpSUlIoKCigT58+FBQUoNFo8PPzQ6OpGBYvKCigX79+To/z6JFiDv9USJjRl17XBsjKWkIIUUdVJeK8vDzy8vIcygMDAwkMDLQrW7NmDZ9//jlNmzYFKpasfOqppzCZTEyfPp0+ffoQEhLinOCrUG0ivv/++2nZsiVnz54lIiICHx8f261M7qBz585ERkaybt06MjIymD59OkuWLKF3794EBwfzzDPPEBQUBFTshhEfH09cXBx79+5l4MCBdOnShQ4dOjg1xu1bz/H+sgsTvQYMCeS+6W2c+p5CCOHtqrp9KT4+ntdff92hfObMmTzyyCO245KSEr7//ntWrVpFTEwMjz76KLt377Y1MiMiItixYwcxMTHOq0AlinqZ3RxUVWXHjh0cOXKE48ePM2/ePHQ6HVlZWQ36jcGV0tPTGTt2LOvXr3fo5r6Up//yG5mnymzHigIvLYkiMOjC95/iAjPbXkpC66Ph+ic6o2+itXuNb7fm8f0PhbRs6cP4Mc1o1Uo2jRBCNG7/Hvpfh7Lp63vUuEUMFXfIzJ49mx49erBq1Sr++9+K13z11Vdp2rQpDz30UP0HXo3LTtZSFIVBgwYxaNAg0tLSWLlyJUVFRaSkpLBw4cKGiNFjVbUlpfWirz3ZR/NIuGc3/FF2eEM6960bRGCbil2bvvz6HPErT//x7BIOHS5m4b+NaLXu0zMhhBANraqu6eoSbnUMBgPPPfccc+bMsVsRq7CwEKPRWC9x1lStNnE0Go1MmTKF++67D39/f2fF5DWGj25ud9ynv4Gg5he++2x++pAtCQOgwhd/P2g73LGz0O767GwLyUdLnBKrEEJ4irreR3y+Izg3N5fhw4fTq1cv0tLSAEhNTWXw4MH1HvOlVNsiPn36dJUzkaFiX8ZZs2Y5LShvMXREECFtfCq2QQzX02+g/be1krwyh2uKT18oC2qmdTgfFFTrW7+FEMKr1GXW9I4dO/j3v//NiBEjMJlM3HHHHQwYMMB2R9C4ceNo06Zh5/JU+1d9xYoV1U7hVlWVL774QpJxDbQuKkJz4hSGgCC0ioGLtwnpcUc4O5f+avf83vdG2P592/ggjiSVUFBY0cc9/EYDbdvIGLEQonGrSyIeOHAg69evtysLDw9n9uzZdQ3rilWbiFeuXMmqVatsTXhFUbh4XpeiKJKIL+P3Fb+y/9HdtuPw2Ch6vdHfdtxvShSFWaX8/Hk6ilKRmK8af2FsIqKdL0/+X2u++uocRqMvN9/crEHjF0II4XzVJuK//vWv3HHHHbbj5cuXM2XKFACsViuffvqp04PzdEcXH7Y7PvHhb3R9pgd+IU1sZcNmd2HY7C5VXr9/XyGLFmZQ8f2ngB+/L+CZ5xp2EoEQQrgbb1tZq9rJWpW7pS++h1ij0TBy5EjnReUtyivdGaaqUMVM6uqsiM/h4pvLfjtWSnJScf3EJoQQHkpVHB+erNpErNPZN5Yr325c+bxwFDW9s91xWEw7/No0qebZjgoKyh3Kjv9eWue4hBDCk3nb7kvVJuLKOytVXlVr69atzonIi0RN68SAT4bRfkZnrnmjP73eHFCr69u393Uo69NPbhsTQjRu3paIq11Zq2/fvgQEBNgScGlpKb6+FYlBVVWKiorYvXt3VZd6nStdWauu8s5ZWPCvdNJOlOHjo3DnXcHceFNQg72/EEK4o2dG/eBQNv+Lvi6IpH5U27982223MXz48CrXl7ZarXzzzTdODUxAYDMdz//TRN45C02aavHx8exvfUIIUR9UvOtvYbWJ+L777rvkTc3nF8gWzhfYTMbjhRDiPE/viq6s2r/wVSXhtLQ0tm/fTqdOnejVq5dTAxNgtaps/OIcu38opGVLHbff1pywUL2rwxJCCJdqNIn45ptvJiIigttuu40RI0Zw8OBBHnnkEYKCgjAYDMTExPCnP/2pIWNtdDZ+cY4P1pwB4NhvZo4eLeU/L4dLF7UQolHztkRc7axpX19fFixYwIgRIygvL+cf//gH7du3Z/Xq1axYsYLDhw9Xd6moJ7t/sN/04czZco6myKYPQojGzdvuI662RTxs2DDbllKffPIJx48f5/3338fPzw+AFi1aNEyEjVirlj4c++3C9lyKAi1bynixEKJxszaWFnFRUREAp06dYunSpcTExBAdHW07v3//fqcH19hNuC2I4OYVOzApCoy9tRkhrWTTByFE4+Zt9xFX27waOHAgsbGxZGZmEhUVxaOPPgrAr7/+yurVqyURN4CwUD3/eTmcoykltGihkyQshBB43xhxtYn4+uuvp0ePHuTk5BAVFYVGU9F41mg0TJw4kYkTJzZYkI2ZTqfQpXPNl8UUQghv521d05cccAwKCiIoKMiuLDIy0pnxCCGEEJfk6ZOzKpOZP0IIITxKo1lZSwghhHBH3tY1Xe2saSGEEEI4n7SIhRBCeJRGM2taCCGEcEeSiIUQQggXsnpXHvbsRLxmzRp8fHzIzs5m0qRJGAwG27k9e/Zw6NAhoGJxko4dO2KxWFi2bBkmk4mcnBymTJniosiFEEJcKW9rEXvsZK0jR45w6NAhYmJi6NevH8uWLbOdKy0tZfHixUyePJnY2FgWLFiAqqqsXr2a0NBQbr31ViwWC4mJia6rgBBCiCtiRXF4eDKPTcSJiYlERUUB0KlTJ7Zt22Y7d/DgQYKCglAUBb1eT0lJCRkZGSQmJtKhQwcAoqOj7a45Lz8/n/T0dLtHZmZmw1RKCCHEZTWatabdXW5uLl27dgVAr9eTnZ1td+78zlEXn7+4vPI15yUkJBAXF+fk6IUQQlwpGSN2E8HBwZSUVOzNW1RURHBwcJXnLj5f+ZrmzZs7vG5sbCxjxoyxK8vMzGTatGnOqIYQQohakgU93MSwYcNITk4GICUlhSFDhpCfn4/FYqFnz55kZWUBYDab0el0GI1Ghg0bRlJSku2a66+/3uF1DQYDoaGhdo/WrVs3XMWEEEJcknRNu4nOnTsTGRnJunXryMjIYPr06SxZsoTevXtz00038eCDD7J8+XKsVitz584F4Pbbb2fp0qWsX78eHx8fbrzxRhfXQgghRG15W9e0oqqq6uog3F16ejpjx45l/fr1hIaGujocIYRo1Kbc/atD2fKV7V0QSf3w2BaxEEKIxqmuY8TFxcXceeedvPHGG+h0OhISEggLC8NgMDB69Oh6irLmPHaMWAghRONkVRSHR2188MEH+Pr6AjB//nwmTJjAxIkT+fzzz23zixqSJGIhhBAexao4PvLy8khLS3N45OXl2V27bt06Ro0aha+vL2azmd27d2MymQCIiIhgx44dDV4f6ZoWQgjhUapaSSs+Pp7XX3/doXzmzJk88sgjAPzwww+YTCbatm0LwNmzZ/H397c9V6/Xu6RFLIlYCCGER6nqdqXJkycTExPjUH7x4k4rV67k9OnTAPzyyy/84x//ICcnx3a+sLAQo9HohIgvTRKxEEIIjxcYGGiXdKuyaNEi27/vuece/vnPf/LCCy+QlpaG0WgkNTWVBx54wNmhOpBELIQQwqPU533Ec+bMISEhAZPJxLhx42jTpk39vXgNSSIWQgjhUepjicsVK1bY/j179uw6v15dSCJ2ss0HS9l2pIzotlom9ffD18fLloQRQogG5unbHlYmidiJlm0t5tlPC23H/00q450HLj2GIYQQ4tLKvSsPy33EzvTud8V2x18cNHPqbLmLohFCCO9Q1wU93I20iJ1Ir7P/cGgU8NF69gdGCCFczds2fZAWsRM9OrwJF39Ru+s6P1oa5L9cCCHqwori8PBk0iJ2ogn9/OjURse2JDOd2+q4qZuPq0MSQgiPV+7hXdGVSSJ2sqtNOq42yX+zEELUF2/rmpYMIYQQwqOUe3hXdGWSiIUQQngUb7t9SRKxEEIIj+LptytVJlN4RY1YFn6NOXIO5kELKM845+pwhBCNWLmiODw8mbSIvdCpTDPz/nGKsjNl+IX48tI/QjEEaK/49cqmxqO+97+Kg9Rcyo1PorUsradohRCidiyuDqCeSYvYCz39+O/oM4vQW8rRnsjn8em/1en11Pd32ReUW7HMXVen1xRCiCslLWLh1o7+WoxVVUkP8AdFQVFVmhcXX/7CSym3OhRZD6dX+dQP+6yn9IyZzve159q/X1O39xVCiCpYPDvvOpAWsZcpzi/jnK8v55f0UhWFPF+/+n8jg69D0fLIjynNNYMVfnnnVxKu+az+31cIIbyMJGIv06ylH1aN/Y/Voqnj18fw5g5F2qdG2x1v/NO3dscKYD5bVrf3FUKIKlhQHB6eTBKxl2ln1FN5Xwlffd0+pNof50AL/4oDjYJm5lC0XdraPSfn4BkP/1UQQniKMsXx4clkjNgL/evvIcxfmENhkZVmgRr+NadVnV5P2yoQbc7CSz6n1Q2tyfoq0y4Zq3V6VyGEqFqZh0/OqsxjE/GePXs4dOgQAAMHDqRjx4525zdv3szq1as5ffo0s2bN4oYbbgAgNzeXqVOnUlZWxtChQ5k9e3aDx+5sHSJ9WfFaWIO+5+i3BvN25Me2D5QKNIkyNGgMQojGwdsGvTwyEZeWlrJ48WLi4+MpKytjxowZLFu2DOWPb0kWiwWtVst7771HSkoKM2bMsCXiTz/9lA8//JAmTZq4sgpe6c4fx7J+zDeUnDUTdWsYQ//d19UhCSG8UJG0iF3v4MGDBAUFoSgKer2ekpISMjIyaNu2YtxSp9MxfPhwADp06IDJZAKgpKSEvXv38tFHH3Hrrbcyffp0dDr7/4L8/Hzy8/PtyjIzMxugVp4vIFhP7I7Rl3+iEELUQbF35WH3T8RvvfUWaWlpdmWbN29m5MiRtmO9Xk92drYtEV9sz5493HnnnQD4+fmxZMkSCgoKmDdvHu+//z5Tp061e35CQgJxcXFOqEnjkPjaUbKO5NH//ihMvRxnWwshRF2ZvWxqqNsn4oceesihbMyYMaxZs8Z2XFRURHBwsMPzzp07R2ZmJrfccotdeUBAAHPmzOGf//ynwzWxsbGMGTPGriwzM5Np06ZdaRW8QtnEZaibDkGzJmgTHkA7pKPDc94Y8R2lBRWLz308cx+9JoYzdJbj84R3yMizkHIaBkW4/Z8R4W28Kw975u1LPXv2JCsrCwCz2YxOp8NoNGKxWGzdyufOnWPXrl22JJydnQ2AqlbM5T1z5gyDBg1yeG2DwUBoaKjdo3Xr1g1RrXpnLi6vn9e56VXUNT9CQSmcPEv59S9TXmy2e87hL07ZkvB5+z+278kQ3qPTwkLa/ruUwXGlaOYW8t0xb1v9V7g1RXF8eDCP/Cqr1+t58MEHWb58OVarlblz5wKwdetW9u7dy/33388jjzyCTqdj5cqVnDt3jqVLl7Jr1y4WLVrEsGHDCA8PJyYmxsU1cY6MI/lsev4Iub8X0bpTALc+04VgU9Mrf8FtyQ5F6uy18Nok2/HZNMdlNK1WuYHJG72/t4yjuReOVWBkfCnF8z3yz4kQLuexvzmDBg1yaNEOHz7cNknrgw8+cLgmLCyM/v37N0h8rqKqKhvm/8KZPxJjZnIBX/wzibuW1mHdZ60GLJXWmzbaj/9eO7Udu95LtSvTtJaZ6d7oze8dbx4pkQaxaEge3gKuzCO7pkX1SvIsnEkrti2moQLph/Lq9Jqax2+0L/DTofvbzXZF2UcLHa7LOmfF57li9p+qny5y4R6GRymg2vd2aGT5FtGQlCoeHkwSsZfxDdBi5cLnUgGsdVxrWvfP29BufhT6RaDc2x/tuVcdnnPkS8dbvJqVmrGoCkPeNTucE55rWj9fsForkvEfj9juHv6XUHgY78rEkoi9TOavhQ4/VKUexmq1ARp0TYvwMZSh1esdzvf4k/1KXuf0PvzcojmoKvmlzm0tffCThQ6LSmjxr2Jmf1UmY9NOZgzS8OyNOhQqknC7QFg8ToYhRAPyrjzsuWPEomqFOi1FOi0/BQWS5t+EyPwiOhc4dhvXRvmj76J5bUNFgk/8GfXNr1EsH9k9p7mxKVeNb8v+z06xOTKcre1CURUFLCrOXHU6OcfK3WvLOJ97X9phITJIYXo/+Wg7i9lczrNbraBoQIHf81TuX1vKJ/dIMhYNxMMTb2XSIvYyPjotS7p2ZG2Ekd2tWvBhVDhvR0fV6TU1r22y+9wr5eWUP/qew/OGz+7CmXnXsSUirCIJ/0Fbp3e/tG2pVio3gLf8JmPSzjTtszL7yTKKwrpf5P9cNCTvahJLs8HL7E8vI0vvY1d20texK7l2qmjRfnmoymeWoQHsZ1g39XXeL8k1bR2/S5adLGZLYilDhxjQ1HUvZuHg+GnHpKuqMhwgPIPFYuGVV15h//79+Pv788Ybb3DmzBkSEhIICwvDYDAwenTDLtUrLWIv4+OrQan0R7HycW1ZdX52xyrAK3dX+dx7ezp+t+tvct7HrE+YhueG6fDTgYJKWFEJ+oNnePu9XJa8leW0923MZl2nrZisdZ6qEuhjrf4C4bEWfldK6PN5GJ/PY8n/Sl0dzgVVNIjz8vJIS0tzeOTl2d81kpGRwYwZM/jggw+wWCz8/vvvzJ8/nwkTJjBx4kQ+//xz24JRDUUSsZfpH6mjWaXEG1TX1soP/6QcPSpgRaGse1e0t1Z9X/JVrTW0bApcdAPV3wY5s3Manh7qQ9ZffYk5nsWQrLPo/njr/+0qwmyWBFHfxnTzpZ2/FcosYCmHMgvv3S7jw95m9X4zT2wo4VSeysk8lRnrSthw2F02IHTMxPHx8dx4440Oj/j4eLsrjUYjAQEBFBcX06dPHyIiIti9e7dtc6CIiAh27NjRoLWRrmkvo5YphFqtNFVVSlDwU1VaqnVLRtr3vgIqbkFSUNEnO660BRC7wcIHP1uhmIvGEBWmrSvj2BM+VV5TH97fb+Hv35ZxytiKqIJirjmdb/uGeeashdYhde2aFxfTahT2/cXAW7vMpJ21ckcPPUPay58Sb/Of7Y63HS78rpRbuzrvd7nGqhhxmjx5cpWrJQYGBjqUFRQU8MYbb7Bhwwb69euHv7+/7Zxer2/wFrH89ngZXYCWVmUWWqqQp9PSvKwMs08dW6RvfmV/bLbAP9bA03fYin7JLeeDI1QeHgbgZN3WE7mkpBwrU9aVVawvodGQHOiPoaycTvlFABgCnNsab6yaN9Xw5A1+l3+i8FhtAx2znTHITTpRq0jEgYGBVSbdqgQEBPC3v/2Nzp07s2nTJszmC186CgsLMRqN9RVpjbjJ/6qoL74+CsmtDWgUaGsuw6LVkm6s2YezWtYqsmtugd1h3EHbkwG1Uq+R8ybyfJdqrbzIE1l+F1rA+QUym1eIK7F4bBP8Lmqq+evh5Vvd5ctX/cyajoyMpGPHjvTq1cu23W5qaiqDBw+ur0BrRFrEXsZPp3Brs2LitMH4llsp1SjMbVEI+F/22mqNvAY2/njhWAEW2E/WmnoVvPojUGp1WAfWmcO0IVVUK9h8YRyraVOZNS3ElTAGaTj0eFNGLS9Fq4Gvp/oSEuAmbbc6/Frv2LGDd999l1GjRqEoCnfccQdDhgwhISEBk8nEuHHjaNOmTf3FWgOSiL1MWWk5BXtOo+9koFSnxc9STva2THiw5ZW/6Ia58OBS+Oh/0CIAPv4rVFpdq3tLLRM6Wfj4xyqud+KdLUdyAb3mQrbXKfj+0QLXaKCJn3zEhbgSP6aV02fJhZnS4S+VcvgxDV1C3GC4pw6bPgwcOJCBAwfalYWHhzN79uy6RnXF3OTrjagv5jIr6zqEY9ZW/GhLdFo+ijDV/YWXTYczKyBlKfSseoGQj8bq+FNn7DcEUFWn3mufX66ArxYCdBWPJjoyDBUzeO/4U3N0OmkRC3El7v6oxLFsjRvdwuRFJBF7mZwSDcU+9q3AM74NN8sxo1QLWgXKVbCqFd9c9c77Bj0i6o+P8EWbg1/bQcf8p9sy9tYgp72vEN6uqjXiz5W4ycIt3rWwliRib9M2kIp7Oy9W+diJDH4K6HXgpwNfXUUSduLqVkPCFf7cQ7H9HvZtA29ObELHDu4yqUQIz/TkEMfb/p690Q1uXQK8LRPLAJqX+SnDCgWlFVMctdqKJFxYSp0ma9VChIGK1vB5qnPXmgbo2FyhqY9KcRl0CFLwd5e/FUJ4sJnX6cktUlm4owwFmDPUh7uvcZN78j077zqQROxlept8aGW2cHVeIXqgRFE42KThfnlMgQqVZ2cZnPgpO5Cl8kTihWnZHxxRuSZE5a/9vOw3VQgXeOYmX565ydfVYTjysl9v6Zr2MuVWlUGaMs6nXj9VZVRTS91es7wc81XzMWv/jLnpTMrf+q7a51a1CUObgDq9/SXtPuV4b9R3abKspRDezbu6piURe5miYpWSIvtEdKaK3XJqo/yaF+BQesXkq+Iyyv+8ivKMc1U+t9iiXPid+GP2dJsqVuipL9oqbmMoqtv3DiGEu/OuPCyJ2NsY/DV0irQfJO3drY4Tl35OdyiyPr2+yqcOi1AqErYW8KnYOL6VE+dNVTUPrFUTD/+tFMKN7D5ezg8nZIU6Z5IxYi/01EMteOuDsySnmrmqky8P3RlUtxf084Ei+wXgNf0jq3zqwxvMFQn4PK3Cx0ec11U8OkohwAcKLtoUZmJnScRC1FWhWWXkO8XsSK1IwsPaa9l0XxP8fNzg98sNQqhP0iL2Qk0CtBR1CeJUj5aURDfDr2ndfsza/9xhXxBiQHv/oCqfu+WE432GzrzzsLW/wpY7tMR0VBgarrBitIaYjvKxFqKulu8pq0jCf3T9bv21nA8PyLiPM0iL2Avd9amFDUcrWqFbUss5nqfyzpgrv6dHO20wjLka67z1aK6NrDYJAzw7UGH6N6rdEnTOTot92yp8Ms4Nlt0TwoskHrNU/PKe/11WVb47VsaUPm5wf2Adlrh0R9J08DLnSlQ2HrXvCl71U927hrVtmuGz7J5LJmGAXekasFgrxolVFcqtWJ3aJhZCOMPXv1bawEVR2JAsdyQ4gyRiL9PEBwIr3fbX1tBw7//bObViZS2tpmLXBZ0WRSOtVSE8TVVfn8vd5Tu1zJoW7kyvVbimjf2nsl9ow/2Yl4zWUHmD4O512PipJorLVFYcsPDaLgvpee7yl0IIz/Z/gxy7oJ+7yQ26pQFvy8QeO0a8Z88eDh06BFRsa9WxY0eH5yxZsoQNGzagKApvvfUWRqORNWvW4OPjQ3Z2NpMmTcJgaMDmYgMoNKvsqDRh6qtjDded1K2VjheGWHhmuxWLCl2DFX6Y6rxfXrNFZdA7pew9VVHnp7eWsfMBX7q0ku+YQtTF0zf6crZE5Y1dFhTgL4N8mDHATVbZ8uy868AjE3FpaSmLFy8mPj6esrIyZsyYwbJly1AuGs/IyckhODiYTZs22cqOHDnCoUOHeO6559i/fz/Lli3jiSeesHvt/Px88vPz7coyMzOdW6F6pCiO99ZqG/hDO2egjvHRKhmFKoOMCnonBrDxqNWWhAHOlcDLOyy8M95N1sQVwoO9cosfr9zi6ii8n0c2Gw4ePEhQUBCKoqDX6ykpKSEjI8PuOTt37uSjjz7irrvu4vDhwwAkJiYSFVWxl26nTp3Ytm2bw2snJCQwduxYu8e0adOcX6l60tRHYWZf+zHZ2dc17BjtQ1+W0+1dCzeuLqdjnIXfzjqvu/iHk3/cXqHXgK8GNPDdcZlQIoRX866eafdvEb/11lukpaXZlW3evJmRI0fajvV6PdnZ2bRt29ZWNmbMGMaMGcP27dv561//yurVq8nNzaVr165211QWGxvLmDFj7MoyMzM9Khm/dJOWISaFH9JVrm+n4aaohvu+tTdDZdmBC4nweB68uKucuJud81FLLVSgqe5CN4CPhly3mVEihBCX5/aJ+KGHHnIoGzNmDGvWrLEdFxUVERwcXOX1gwYNYuDAgZw8eZLg4GBKSkoueY3BYPD4cWNFURgbrWVsdMO/9/F8xyR4PM9579dEr9j36ygKvr4e/vVYCHFpch+x6/Xs2ZOsrCwAzGYzOp0Oo9GIxWKxje9arRdaZU2aNKF9+/YMGzaM5ORkAFJSUhgyZEjDB+/lbjQptGhiX3Z7tPM+ZiMiHV97iNFpbyeEcAfSNe16er2eBx98kOXLl2O1Wpk7dy4AW7duZe/evfztb3/jsccew2Aw0L17d/70pz+h0+no3LkzkZGRrFu3joyMDKZPn+7imngfg6/C1jt1PPe/ck4VwN1dFR7o4bxEPL6DwlUt4aeciuMAH5jXwGPiQghRF4qqqjKgdhnp6emMHTuW9evXExoa6upwRCWFZpU1SSpnSuH2TgrhTtx2UQjheso/zQ5l6lOee6eER7aIhbiYv17hvqsk+QrReHjX77skYiGEEJ7Fu/KwZ07WEkIIIbyFtIiFEEJ4FmkRCyGEEKK+SCIWQgghXEi6poUQQngW6ZoWQgghRH2RFnENlJeXA561HaIQQriLkJAQdLp6TDdetta0rKxVA/v27fOo3ZeEEMKdyKqElyaJuAZKSkr45ZdfaNGixRV9qzu/jWJcXBytW7d2QoTuozHVFaS+3qwx1RWcW996bxF7GfmfqQE/Pz+uueaaOr9O69atG823wsZUV5D6erPGVFdofPV1BzJZSwghhHAhScRCCCGEC0kiFkIIIVxIEnEDMBgMTJs2DYPB4OpQnK4x1RWkvt6sMdUVGl993YnMmhZCCCFcSFrEQgghhAtJIhZCCCFcSBKxEEII4UKSiIUQQggXkpW16lFqaiqLFi3i7rvvpnfv3mRmZvLxxx/Ttm1bAgICGDFiBABr1qzBx8eH7OxsJk2a5HGzFAsKCpg/fz7Hjh3DZDLx4osvkpeX55V1BbBYLLzxxhscPHgQf39/XnrpJc6ePeu19T2vpKSEqVOn8vLLL6PVar26vrm5uUydOpWysjKGDh3K5MmTvbq+u3bt4uzZs7Rv357AwECvrqtHUEW9mjNnjvrDDz+oqqqqjz/+uHrixAnbv7Ozs9VffvlFffrpp1VVVdV9+/apL7/8sstivVLfffedmp+fr1qtVvWpp55SP/zwQ6+tq6qq6smTJ9WCggJVVVV1+vTp6tGjR726vuetWLFCnTx5snry5Emvr29cXJxaVFRkO/bm+n722WfqJ598Yjv25rp6Cumarmc+Pj4AmM1mfvzxR4xGIwAmk4ldu3aRmJhIVFQUAJ06dWLbtm0ui/VKDR48mICAABRF4aqrrqJ58+ZeW1eA0NBQ/P39KSkpoWfPnphMJq+uL8DGjRu56aab0Ov1Xv1ZhoqW/969exk/fjyvvfaaV9c3JyeHuLg4NBoN8+fP59ChQ15bV08iidhJzp07R9OmTW3Her2e7OxscnNzadasmV2ZJ0tPT+fqq6/2+roWFBTw1ltv8emnn/LTTz95dX337t2L0WikTZs2gPd/lv38/FiyZAlr167lt99+Y+XKlV5b323btnHdddcxbtw4brnlFu677z78/Pxs572prp5ExoidJCgoCLPZbDsuKioiNDSUkpISSkpKbGXBwcGuCrHOtm7dyl133UWLFi28vq4BAQHMmjWLjh078vXXX3t1fdesWcPp06cBSE5OZsGCBeTm5trOe1t9zwsICGDOnDk899xzXvvzzc/Px9/fH4A+ffpgMBg4c+aM7bw31dWTSIvYSXx8fOjRowfp6ekAHD9+nAEDBjBs2DCSk5MBSElJYciQIa4M84rt2rWLDh060KZNG86cOePVdb1Yu3btiIqK8ur6/utf/2LZsmUsW7aMTp068dJLLzFo0CCvrS+A+scCg2fOnGHYsGFe+/Pt3bs3hw8fBqC8vJy2bdt6/c/WE8gSl/Xo1KlTzJ07l4EDB3LXXXeRm5vLxx9/jNFoxN/fn5tvvhmA999/n8DAQDIyMoiNjSUwMNDFkddOQkICCQkJNG/eHKvVSrdu3WyzTL2trlDxpWPlypUMHz4cRVEYPXq0bUa8N9b3Yg8++CDPPvssqqp6bX137drFokWLGDZsGOHh4YwaNYqTJ096bX3j4+Px8fFBr9fTvXt3DAaD19bVU0giFkIIIVxIuqaFEEIIF5JELIQQQriQJGIhhBDChSQRCyGEEC4kiVgIIYRwIUnEQgghhAtJIhbCg82aNYvly5e7OgwhRB1IIhbCgyUlJdGhQwdXhyGEqANJxEJ4qNzcXHJyciQRC+HhJBEL4aGSkpIwGAzs27eP8ePHc/311zN//nwsFourQxNC1IIkYiE81JEjRyguLiYtLY1Vq1axatUq/ve///HZZ5+5OjQhRC3INohCeKikpCT69+/PtGnTAPD392fw4MG2XXOEEJ5BWsRCeKikpCTbTjnnnT59WvaOFcLDSCIWwgMVFBRw8uRJWrRoYSvLzc1lz549XH/99S6MTAhRW5KIhfBAycnJaDQaNm3ahMViITMzkzlz5jBixAg6d+7s6vCEELUgY8RCeKCkpCT69u1Ly5YtGTlyJH5+fowdO5b777/f1aEJIWpJUVVVdXUQQgghRGMlXdNCCCGEC0kiFkIIIVxIErEQQgjhQpKIhRBCCBeSRCyEEEK4kCRiIYQQwoUkEQshhBAuJIlYCCGEcKH/B+XaB+qf5PWgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('seaborn-ticks')\n",
    "plt.rcParams[\"font.family\"] = \"Times New Roman\" \n",
    "\n",
    "length = len(featureName)\n",
    "n=1\n",
    "for i in range(length):\n",
    "    shap.dependence_plot(i, shap_values, X, display_features=X_shap,feature_names=featureName,show=False,dot_size=26 )    \n",
    "    n=n+1\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}