PrtOpt.MnteCrlo.Simple.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load Packages and Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "#load csv containing return data on assets\n",
    "assets = pd.read_csv('/home/Portfolio_2.csv',header='infer',index_col='Date') "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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>GOOGL</th>\n",
       "      <th>FB</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>BBBY</th>\n",
       "      <th>COST</th>\n",
       "      <th>DLTR</th>\n",
       "      <th>FOX</th>\n",
       "      <th>Gold</th>\n",
       "      <th>PEP</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-04-01</th>\n",
       "      <td>549.489990</td>\n",
       "      <td>81.669998</td>\n",
       "      <td>59.017143</td>\n",
       "      <td>370.260010</td>\n",
       "      <td>73.779182</td>\n",
       "      <td>139.591400</td>\n",
       "      <td>81.300003</td>\n",
       "      <td>31.535204</td>\n",
       "      <td>68.523880</td>\n",
       "      <td>87.257195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-02</th>\n",
       "      <td>541.309998</td>\n",
       "      <td>81.559998</td>\n",
       "      <td>59.154285</td>\n",
       "      <td>372.250000</td>\n",
       "      <td>74.233482</td>\n",
       "      <td>140.882874</td>\n",
       "      <td>81.120003</td>\n",
       "      <td>32.055969</td>\n",
       "      <td>67.968102</td>\n",
       "      <td>87.807785</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-06</th>\n",
       "      <td>543.950012</td>\n",
       "      <td>82.440002</td>\n",
       "      <td>60.330002</td>\n",
       "      <td>377.040009</td>\n",
       "      <td>74.900414</td>\n",
       "      <td>141.691223</td>\n",
       "      <td>80.980003</td>\n",
       "      <td>32.287418</td>\n",
       "      <td>69.050911</td>\n",
       "      <td>88.532707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-07</th>\n",
       "      <td>544.859985</td>\n",
       "      <td>82.320000</td>\n",
       "      <td>60.494286</td>\n",
       "      <td>374.410004</td>\n",
       "      <td>74.136803</td>\n",
       "      <td>141.022232</td>\n",
       "      <td>80.580002</td>\n",
       "      <td>32.104183</td>\n",
       "      <td>67.824371</td>\n",
       "      <td>88.284943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-08</th>\n",
       "      <td>548.840027</td>\n",
       "      <td>82.279999</td>\n",
       "      <td>63.049999</td>\n",
       "      <td>381.200012</td>\n",
       "      <td>75.084068</td>\n",
       "      <td>141.226639</td>\n",
       "      <td>83.529999</td>\n",
       "      <td>32.046318</td>\n",
       "      <td>67.345238</td>\n",
       "      <td>88.119774</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 GOOGL         FB       NFLX        AMZN       BBBY  \\\n",
       "Date                                                                  \n",
       "2015-04-01  549.489990  81.669998  59.017143  370.260010  73.779182   \n",
       "2015-04-02  541.309998  81.559998  59.154285  372.250000  74.233482   \n",
       "2015-04-06  543.950012  82.440002  60.330002  377.040009  74.900414   \n",
       "2015-04-07  544.859985  82.320000  60.494286  374.410004  74.136803   \n",
       "2015-04-08  548.840027  82.279999  63.049999  381.200012  75.084068   \n",
       "\n",
       "                  COST       DLTR        FOX       Gold        PEP  \n",
       "Date                                                                \n",
       "2015-04-01  139.591400  81.300003  31.535204  68.523880  87.257195  \n",
       "2015-04-02  140.882874  81.120003  32.055969  67.968102  87.807785  \n",
       "2015-04-06  141.691223  80.980003  32.287418  69.050911  88.532707  \n",
       "2015-04-07  141.022232  80.580002  32.104183  67.824371  88.284943  \n",
       "2015-04-08  141.226639  83.529999  32.046318  67.345238  88.119774  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "assets.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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>GOOGL</th>\n",
       "      <th>FB</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>BBBY</th>\n",
       "      <th>COST</th>\n",
       "      <th>DLTR</th>\n",
       "      <th>FOX</th>\n",
       "      <th>Gold</th>\n",
       "      <th>PEP</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-03-23</th>\n",
       "      <td>1026.550049</td>\n",
       "      <td>159.389999</td>\n",
       "      <td>300.940002</td>\n",
       "      <td>1495.560059</td>\n",
       "      <td>21.299999</td>\n",
       "      <td>180.839996</td>\n",
       "      <td>91.949997</td>\n",
       "      <td>35.450001</td>\n",
       "      <td>83.919998</td>\n",
       "      <td>106.150002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-03-26</th>\n",
       "      <td>1054.089966</td>\n",
       "      <td>160.059998</td>\n",
       "      <td>320.350006</td>\n",
       "      <td>1555.859985</td>\n",
       "      <td>21.070000</td>\n",
       "      <td>187.220001</td>\n",
       "      <td>95.209999</td>\n",
       "      <td>36.580002</td>\n",
       "      <td>85.220001</td>\n",
       "      <td>106.809998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-03-27</th>\n",
       "      <td>1006.940002</td>\n",
       "      <td>152.220001</td>\n",
       "      <td>300.690002</td>\n",
       "      <td>1497.050049</td>\n",
       "      <td>20.250000</td>\n",
       "      <td>183.149994</td>\n",
       "      <td>93.629997</td>\n",
       "      <td>36.080002</td>\n",
       "      <td>83.660004</td>\n",
       "      <td>107.639999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-03-28</th>\n",
       "      <td>1005.179993</td>\n",
       "      <td>153.029999</td>\n",
       "      <td>285.769989</td>\n",
       "      <td>1431.420044</td>\n",
       "      <td>20.610001</td>\n",
       "      <td>183.610001</td>\n",
       "      <td>93.910004</td>\n",
       "      <td>35.500000</td>\n",
       "      <td>82.320000</td>\n",
       "      <td>109.180000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-03-29</th>\n",
       "      <td>1037.140015</td>\n",
       "      <td>159.789993</td>\n",
       "      <td>295.350006</td>\n",
       "      <td>1447.339966</td>\n",
       "      <td>20.990000</td>\n",
       "      <td>188.429993</td>\n",
       "      <td>94.900002</td>\n",
       "      <td>36.369999</td>\n",
       "      <td>83.239998</td>\n",
       "      <td>109.150002</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  GOOGL          FB        NFLX         AMZN       BBBY  \\\n",
       "Date                                                                      \n",
       "2018-03-23  1026.550049  159.389999  300.940002  1495.560059  21.299999   \n",
       "2018-03-26  1054.089966  160.059998  320.350006  1555.859985  21.070000   \n",
       "2018-03-27  1006.940002  152.220001  300.690002  1497.050049  20.250000   \n",
       "2018-03-28  1005.179993  153.029999  285.769989  1431.420044  20.610001   \n",
       "2018-03-29  1037.140015  159.789993  295.350006  1447.339966  20.990000   \n",
       "\n",
       "                  COST       DLTR        FOX       Gold         PEP  \n",
       "Date                                                                 \n",
       "2018-03-23  180.839996  91.949997  35.450001  83.919998  106.150002  \n",
       "2018-03-26  187.220001  95.209999  36.580002  85.220001  106.809998  \n",
       "2018-03-27  183.149994  93.629997  36.080002  83.660004  107.639999  \n",
       "2018-03-28  183.610001  93.910004  35.500000  82.320000  109.180000  \n",
       "2018-03-29  188.429993  94.900002  36.369999  83.239998  109.150002  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "assets.tail(5) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculate Daily Returns "
   ]
  },
  {
   "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>GOOGL</th>\n",
       "      <th>FB</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>BBBY</th>\n",
       "      <th>COST</th>\n",
       "      <th>DLTR</th>\n",
       "      <th>FOX</th>\n",
       "      <th>Gold</th>\n",
       "      <th>PEP</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-04-01</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-02</th>\n",
       "      <td>-0.014887</td>\n",
       "      <td>-0.001347</td>\n",
       "      <td>0.002324</td>\n",
       "      <td>0.005375</td>\n",
       "      <td>0.006158</td>\n",
       "      <td>0.009252</td>\n",
       "      <td>-0.002214</td>\n",
       "      <td>0.016514</td>\n",
       "      <td>-0.008111</td>\n",
       "      <td>0.006310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-06</th>\n",
       "      <td>0.004877</td>\n",
       "      <td>0.010790</td>\n",
       "      <td>0.019875</td>\n",
       "      <td>0.012868</td>\n",
       "      <td>0.008984</td>\n",
       "      <td>0.005738</td>\n",
       "      <td>-0.001726</td>\n",
       "      <td>0.007220</td>\n",
       "      <td>0.015931</td>\n",
       "      <td>0.008256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-07</th>\n",
       "      <td>0.001673</td>\n",
       "      <td>-0.001456</td>\n",
       "      <td>0.002723</td>\n",
       "      <td>-0.006975</td>\n",
       "      <td>-0.010195</td>\n",
       "      <td>-0.004721</td>\n",
       "      <td>-0.004940</td>\n",
       "      <td>-0.005675</td>\n",
       "      <td>-0.017763</td>\n",
       "      <td>-0.002799</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-08</th>\n",
       "      <td>0.007305</td>\n",
       "      <td>-0.000486</td>\n",
       "      <td>0.042247</td>\n",
       "      <td>0.018135</td>\n",
       "      <td>0.012777</td>\n",
       "      <td>0.001449</td>\n",
       "      <td>0.036610</td>\n",
       "      <td>-0.001802</td>\n",
       "      <td>-0.007064</td>\n",
       "      <td>-0.001871</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               GOOGL        FB      NFLX      AMZN      BBBY      COST  \\\n",
       "Date                                                                     \n",
       "2015-04-01       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "2015-04-02 -0.014887 -0.001347  0.002324  0.005375  0.006158  0.009252   \n",
       "2015-04-06  0.004877  0.010790  0.019875  0.012868  0.008984  0.005738   \n",
       "2015-04-07  0.001673 -0.001456  0.002723 -0.006975 -0.010195 -0.004721   \n",
       "2015-04-08  0.007305 -0.000486  0.042247  0.018135  0.012777  0.001449   \n",
       "\n",
       "                DLTR       FOX      Gold       PEP  \n",
       "Date                                                \n",
       "2015-04-01       NaN       NaN       NaN       NaN  \n",
       "2015-04-02 -0.002214  0.016514 -0.008111  0.006310  \n",
       "2015-04-06 -0.001726  0.007220  0.015931  0.008256  \n",
       "2015-04-07 -0.004940 -0.005675 -0.017763 -0.002799  \n",
       "2015-04-08  0.036610 -0.001802 -0.007064 -0.001871  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "returns = (assets/assets.shift(1))-1\n",
    "returns.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Check Distribution of Returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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p1i1lLVqM89It8WpEZZ6ajnEnz+gecsgh1m7z589v+zSalUfZ6PCT7kaKcZHj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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f400c40ecc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "returns.hist(bins=100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculate Log Returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "log_returns = np.log((assets/assets.shift(1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>FB</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>BBBY</th>\n",
       "      <th>COST</th>\n",
       "      <th>DLTR</th>\n",
       "      <th>FOX</th>\n",
       "      <th>Gold</th>\n",
       "      <th>PEP</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-04-01</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-02</th>\n",
       "      <td>-0.014998</td>\n",
       "      <td>-0.001348</td>\n",
       "      <td>0.002321</td>\n",
       "      <td>0.005360</td>\n",
       "      <td>0.006139</td>\n",
       "      <td>0.009209</td>\n",
       "      <td>-0.002216</td>\n",
       "      <td>0.016379</td>\n",
       "      <td>-0.008144</td>\n",
       "      <td>0.006290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-06</th>\n",
       "      <td>0.004865</td>\n",
       "      <td>0.010732</td>\n",
       "      <td>0.019680</td>\n",
       "      <td>0.012786</td>\n",
       "      <td>0.008944</td>\n",
       "      <td>0.005721</td>\n",
       "      <td>-0.001727</td>\n",
       "      <td>0.007194</td>\n",
       "      <td>0.015806</td>\n",
       "      <td>0.008222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-07</th>\n",
       "      <td>0.001672</td>\n",
       "      <td>-0.001457</td>\n",
       "      <td>0.002719</td>\n",
       "      <td>-0.007000</td>\n",
       "      <td>-0.010247</td>\n",
       "      <td>-0.004733</td>\n",
       "      <td>-0.004952</td>\n",
       "      <td>-0.005691</td>\n",
       "      <td>-0.017922</td>\n",
       "      <td>-0.002802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-04-08</th>\n",
       "      <td>0.007278</td>\n",
       "      <td>-0.000486</td>\n",
       "      <td>0.041379</td>\n",
       "      <td>0.017973</td>\n",
       "      <td>0.012696</td>\n",
       "      <td>0.001448</td>\n",
       "      <td>0.035955</td>\n",
       "      <td>-0.001804</td>\n",
       "      <td>-0.007089</td>\n",
       "      <td>-0.001873</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               GOOGL        FB      NFLX      AMZN      BBBY      COST  \\\n",
       "Date                                                                     \n",
       "2015-04-01       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "2015-04-02 -0.014998 -0.001348  0.002321  0.005360  0.006139  0.009209   \n",
       "2015-04-06  0.004865  0.010732  0.019680  0.012786  0.008944  0.005721   \n",
       "2015-04-07  0.001672 -0.001457  0.002719 -0.007000 -0.010247 -0.004733   \n",
       "2015-04-08  0.007278 -0.000486  0.041379  0.017973  0.012696  0.001448   \n",
       "\n",
       "                DLTR       FOX      Gold       PEP  \n",
       "Date                                                \n",
       "2015-04-01       NaN       NaN       NaN       NaN  \n",
       "2015-04-02 -0.002216  0.016379 -0.008144  0.006290  \n",
       "2015-04-06 -0.001727  0.007194  0.015806  0.008222  \n",
       "2015-04-07 -0.004952 -0.005691 -0.017922 -0.002802  \n",
       "2015-04-08  0.035955 -0.001804 -0.007089 -0.001873  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GOOGL    0.212306\n",
       "FB       0.224318\n",
       "NFLX     0.538202\n",
       "AMZN     0.455631\n",
       "BBBY    -0.420122\n",
       "COST     0.100268\n",
       "DLTR     0.051696\n",
       "FOX      0.047673\n",
       "Gold     0.065021\n",
       "PEP      0.074819\n",
       "dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns.mean()*252"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Covariance Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>FB</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>BBBY</th>\n",
       "      <th>COST</th>\n",
       "      <th>DLTR</th>\n",
       "      <th>FOX</th>\n",
       "      <th>Gold</th>\n",
       "      <th>PEP</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GOOGL</th>\n",
       "      <td>0.051703</td>\n",
       "      <td>0.037923</td>\n",
       "      <td>0.040084</td>\n",
       "      <td>0.037761</td>\n",
       "      <td>0.006759</td>\n",
       "      <td>0.014809</td>\n",
       "      <td>0.017474</td>\n",
       "      <td>0.016526</td>\n",
       "      <td>0.003415</td>\n",
       "      <td>0.011622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FB</th>\n",
       "      <td>0.037923</td>\n",
       "      <td>0.063865</td>\n",
       "      <td>0.041359</td>\n",
       "      <td>0.041199</td>\n",
       "      <td>0.006268</td>\n",
       "      <td>0.012379</td>\n",
       "      <td>0.015795</td>\n",
       "      <td>0.018267</td>\n",
       "      <td>0.004893</td>\n",
       "      <td>0.011475</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NFLX</th>\n",
       "      <td>0.040084</td>\n",
       "      <td>0.041359</td>\n",
       "      <td>0.174764</td>\n",
       "      <td>0.048329</td>\n",
       "      <td>0.011944</td>\n",
       "      <td>0.016129</td>\n",
       "      <td>0.022053</td>\n",
       "      <td>0.023956</td>\n",
       "      <td>0.009260</td>\n",
       "      <td>0.011262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMZN</th>\n",
       "      <td>0.037761</td>\n",
       "      <td>0.041199</td>\n",
       "      <td>0.048329</td>\n",
       "      <td>0.077447</td>\n",
       "      <td>0.004387</td>\n",
       "      <td>0.013007</td>\n",
       "      <td>0.015140</td>\n",
       "      <td>0.020239</td>\n",
       "      <td>0.005545</td>\n",
       "      <td>0.010551</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BBBY</th>\n",
       "      <td>0.006759</td>\n",
       "      <td>0.006268</td>\n",
       "      <td>0.011944</td>\n",
       "      <td>0.004387</td>\n",
       "      <td>0.099406</td>\n",
       "      <td>0.016719</td>\n",
       "      <td>0.031556</td>\n",
       "      <td>0.020358</td>\n",
       "      <td>0.002565</td>\n",
       "      <td>0.004672</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>COST</th>\n",
       "      <td>0.014809</td>\n",
       "      <td>0.012379</td>\n",
       "      <td>0.016129</td>\n",
       "      <td>0.013007</td>\n",
       "      <td>0.016719</td>\n",
       "      <td>0.034535</td>\n",
       "      <td>0.021681</td>\n",
       "      <td>0.011282</td>\n",
       "      <td>-0.002043</td>\n",
       "      <td>0.010648</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DLTR</th>\n",
       "      <td>0.017474</td>\n",
       "      <td>0.015795</td>\n",
       "      <td>0.022053</td>\n",
       "      <td>0.015140</td>\n",
       "      <td>0.031556</td>\n",
       "      <td>0.021681</td>\n",
       "      <td>0.079864</td>\n",
       "      <td>0.018325</td>\n",
       "      <td>-0.000960</td>\n",
       "      <td>0.010233</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FOX</th>\n",
       "      <td>0.016526</td>\n",
       "      <td>0.018267</td>\n",
       "      <td>0.023956</td>\n",
       "      <td>0.020239</td>\n",
       "      <td>0.020358</td>\n",
       "      <td>0.011282</td>\n",
       "      <td>0.018325</td>\n",
       "      <td>0.060808</td>\n",
       "      <td>0.000715</td>\n",
       "      <td>0.008245</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gold</th>\n",
       "      <td>0.003415</td>\n",
       "      <td>0.004893</td>\n",
       "      <td>0.009260</td>\n",
       "      <td>0.005545</td>\n",
       "      <td>0.002565</td>\n",
       "      <td>-0.002043</td>\n",
       "      <td>-0.000960</td>\n",
       "      <td>0.000715</td>\n",
       "      <td>0.127163</td>\n",
       "      <td>0.006395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PEP</th>\n",
       "      <td>0.011622</td>\n",
       "      <td>0.011475</td>\n",
       "      <td>0.011262</td>\n",
       "      <td>0.010551</td>\n",
       "      <td>0.004672</td>\n",
       "      <td>0.010648</td>\n",
       "      <td>0.010233</td>\n",
       "      <td>0.008245</td>\n",
       "      <td>0.006395</td>\n",
       "      <td>0.017353</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          GOOGL        FB      NFLX      AMZN      BBBY      COST      DLTR  \\\n",
       "GOOGL  0.051703  0.037923  0.040084  0.037761  0.006759  0.014809  0.017474   \n",
       "FB     0.037923  0.063865  0.041359  0.041199  0.006268  0.012379  0.015795   \n",
       "NFLX   0.040084  0.041359  0.174764  0.048329  0.011944  0.016129  0.022053   \n",
       "AMZN   0.037761  0.041199  0.048329  0.077447  0.004387  0.013007  0.015140   \n",
       "BBBY   0.006759  0.006268  0.011944  0.004387  0.099406  0.016719  0.031556   \n",
       "COST   0.014809  0.012379  0.016129  0.013007  0.016719  0.034535  0.021681   \n",
       "DLTR   0.017474  0.015795  0.022053  0.015140  0.031556  0.021681  0.079864   \n",
       "FOX    0.016526  0.018267  0.023956  0.020239  0.020358  0.011282  0.018325   \n",
       "Gold   0.003415  0.004893  0.009260  0.005545  0.002565 -0.002043 -0.000960   \n",
       "PEP    0.011622  0.011475  0.011262  0.010551  0.004672  0.010648  0.010233   \n",
       "\n",
       "            FOX      Gold       PEP  \n",
       "GOOGL  0.016526  0.003415  0.011622  \n",
       "FB     0.018267  0.004893  0.011475  \n",
       "NFLX   0.023956  0.009260  0.011262  \n",
       "AMZN   0.020239  0.005545  0.010551  \n",
       "BBBY   0.020358  0.002565  0.004672  \n",
       "COST   0.011282 -0.002043  0.010648  \n",
       "DLTR   0.018325 -0.000960  0.010233  \n",
       "FOX    0.060808  0.000715  0.008245  \n",
       "Gold   0.000715  0.127163  0.006395  \n",
       "PEP    0.008245  0.006395  0.017353  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns.cov()*252"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Correlation Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>FB</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>AMZN</th>\n",
       "      <th>BBBY</th>\n",
       "      <th>COST</th>\n",
       "      <th>DLTR</th>\n",
       "      <th>FOX</th>\n",
       "      <th>Gold</th>\n",
       "      <th>PEP</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GOOGL</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.659948</td>\n",
       "      <td>0.421682</td>\n",
       "      <td>0.596727</td>\n",
       "      <td>0.094283</td>\n",
       "      <td>0.350461</td>\n",
       "      <td>0.271933</td>\n",
       "      <td>0.294732</td>\n",
       "      <td>0.042117</td>\n",
       "      <td>0.388017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FB</th>\n",
       "      <td>0.659948</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.391481</td>\n",
       "      <td>0.585806</td>\n",
       "      <td>0.078667</td>\n",
       "      <td>0.263593</td>\n",
       "      <td>0.221170</td>\n",
       "      <td>0.293131</td>\n",
       "      <td>0.054295</td>\n",
       "      <td>0.344700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NFLX</th>\n",
       "      <td>0.421682</td>\n",
       "      <td>0.391481</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.415408</td>\n",
       "      <td>0.090621</td>\n",
       "      <td>0.207611</td>\n",
       "      <td>0.186670</td>\n",
       "      <td>0.232387</td>\n",
       "      <td>0.062117</td>\n",
       "      <td>0.204512</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMZN</th>\n",
       "      <td>0.596727</td>\n",
       "      <td>0.585806</td>\n",
       "      <td>0.415408</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.050001</td>\n",
       "      <td>0.251497</td>\n",
       "      <td>0.192502</td>\n",
       "      <td>0.294913</td>\n",
       "      <td>0.055871</td>\n",
       "      <td>0.287823</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BBBY</th>\n",
       "      <td>0.094283</td>\n",
       "      <td>0.078667</td>\n",
       "      <td>0.090621</td>\n",
       "      <td>0.050001</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.285347</td>\n",
       "      <td>0.354165</td>\n",
       "      <td>0.261850</td>\n",
       "      <td>0.022818</td>\n",
       "      <td>0.112488</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>COST</th>\n",
       "      <td>0.350461</td>\n",
       "      <td>0.263593</td>\n",
       "      <td>0.207611</td>\n",
       "      <td>0.251497</td>\n",
       "      <td>0.285347</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.412833</td>\n",
       "      <td>0.246201</td>\n",
       "      <td>-0.030832</td>\n",
       "      <td>0.434950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DLTR</th>\n",
       "      <td>0.271933</td>\n",
       "      <td>0.221170</td>\n",
       "      <td>0.186670</td>\n",
       "      <td>0.192502</td>\n",
       "      <td>0.354165</td>\n",
       "      <td>0.412833</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.262965</td>\n",
       "      <td>-0.009527</td>\n",
       "      <td>0.274878</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FOX</th>\n",
       "      <td>0.294732</td>\n",
       "      <td>0.293131</td>\n",
       "      <td>0.232387</td>\n",
       "      <td>0.294913</td>\n",
       "      <td>0.261850</td>\n",
       "      <td>0.246201</td>\n",
       "      <td>0.262965</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.008136</td>\n",
       "      <td>0.253833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gold</th>\n",
       "      <td>0.042117</td>\n",
       "      <td>0.054295</td>\n",
       "      <td>0.062117</td>\n",
       "      <td>0.055871</td>\n",
       "      <td>0.022818</td>\n",
       "      <td>-0.030832</td>\n",
       "      <td>-0.009527</td>\n",
       "      <td>0.008136</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.136136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PEP</th>\n",
       "      <td>0.388017</td>\n",
       "      <td>0.344700</td>\n",
       "      <td>0.204512</td>\n",
       "      <td>0.287823</td>\n",
       "      <td>0.112488</td>\n",
       "      <td>0.434950</td>\n",
       "      <td>0.274878</td>\n",
       "      <td>0.253833</td>\n",
       "      <td>0.136136</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          GOOGL        FB      NFLX      AMZN      BBBY      COST      DLTR  \\\n",
       "GOOGL  1.000000  0.659948  0.421682  0.596727  0.094283  0.350461  0.271933   \n",
       "FB     0.659948  1.000000  0.391481  0.585806  0.078667  0.263593  0.221170   \n",
       "NFLX   0.421682  0.391481  1.000000  0.415408  0.090621  0.207611  0.186670   \n",
       "AMZN   0.596727  0.585806  0.415408  1.000000  0.050001  0.251497  0.192502   \n",
       "BBBY   0.094283  0.078667  0.090621  0.050001  1.000000  0.285347  0.354165   \n",
       "COST   0.350461  0.263593  0.207611  0.251497  0.285347  1.000000  0.412833   \n",
       "DLTR   0.271933  0.221170  0.186670  0.192502  0.354165  0.412833  1.000000   \n",
       "FOX    0.294732  0.293131  0.232387  0.294913  0.261850  0.246201  0.262965   \n",
       "Gold   0.042117  0.054295  0.062117  0.055871  0.022818 -0.030832 -0.009527   \n",
       "PEP    0.388017  0.344700  0.204512  0.287823  0.112488  0.434950  0.274878   \n",
       "\n",
       "            FOX      Gold       PEP  \n",
       "GOOGL  0.294732  0.042117  0.388017  \n",
       "FB     0.293131  0.054295  0.344700  \n",
       "NFLX   0.232387  0.062117  0.204512  \n",
       "AMZN   0.294913  0.055871  0.287823  \n",
       "BBBY   0.261850  0.022818  0.112488  \n",
       "COST   0.246201 -0.030832  0.434950  \n",
       "DLTR   0.262965 -0.009527  0.274878  \n",
       "FOX    1.000000  0.008136  0.253833  \n",
       "Gold   0.008136  1.000000  0.136136  \n",
       "PEP    0.253833  0.136136  1.000000  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_returns.corr()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Random Weights via Monte Carlo Method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[0.14803552, 0.14544794, 0.16954159, ..., 0.15182479, 0.14640746,\n",
       "         0.13753712],\n",
       "        [0.04405207, 0.12090834, 0.20179697, ..., 0.12170915, 0.13369168,\n",
       "         0.02586647],\n",
       "        [0.19625067, 0.72815293, 1.10177666, ..., 0.70284404, 0.81069421,\n",
       "         0.07900753]]),\n",
       " [array([0.06207041, 0.09782383, 0.07256424, 0.00562903, 0.16534642,\n",
       "         0.00420297, 0.19173161, 0.07312624, 0.15775206, 0.1697532 ]),\n",
       "  array([0.3081686 , 0.01216073, 0.02746311, 0.02662198, 0.03021748,\n",
       "         0.03005231, 0.12477809, 0.07249027, 0.19568898, 0.17235845]),\n",
       "  array([0.15241591, 0.17230283, 0.1261453 , 0.15982202, 0.07118158,\n",
       "         0.03787673, 0.04860317, 0.10405263, 0.08539271, 0.04220712]),\n",
       "  array([0.18191889, 0.11033439, 0.19491422, 0.00958951, 0.08365576,\n",
       "         0.10184577, 0.13832055, 0.00599586, 0.08996558, 0.08345946]),\n",
       "  array([0.02201597, 0.14614501, 0.0790309 , 0.10626366, 0.06002796,\n",
       "         0.08599274, 0.12093202, 0.12889467, 0.16798062, 0.08271644]),\n",
       "  array([0.11083171, 0.03404077, 0.08087056, 0.05486493, 0.09425744,\n",
       "         0.16040209, 0.08798802, 0.09254976, 0.1685076 , 0.11568711]),\n",
       "  array([0.15884232, 0.00782456, 0.14453151, 0.05860907, 0.04886487,\n",
       "         0.1043826 , 0.07644725, 0.18389419, 0.01255263, 0.204051  ]),\n",
       "  array([0.15576892, 0.14785915, 0.11083443, 0.1163512 , 0.0118695 ,\n",
       "         0.06210344, 0.15991146, 0.16106018, 0.04423392, 0.0300078 ]),\n",
       "  array([0.1005043 , 0.03426959, 0.13165116, 0.02342165, 0.13638856,\n",
       "         0.00524123, 0.17395192, 0.14403927, 0.19542591, 0.05510642]),\n",
       "  array([0.02110535, 0.0756522 , 0.17419015, 0.05950796, 0.06928749,\n",
       "         0.19455198, 0.02682707, 0.20131777, 0.05773767, 0.11982237]),\n",
       "  array([0.02980531, 0.02600827, 0.155978  , 0.17470276, 0.02175947,\n",
       "         0.07765387, 0.17155637, 0.10191498, 0.06540757, 0.17521339]),\n",
       "  array([0.01991821, 0.03412067, 0.15949296, 0.17022677, 0.1783847 ,\n",
       "         0.15157149, 0.00319762, 0.07330493, 0.10632422, 0.10345843]),\n",
       "  array([0.05253277, 0.14360149, 0.15253381, 0.06292539, 0.08234916,\n",
       "         0.03093428, 0.17633944, 0.14118797, 0.08688671, 0.07070897]),\n",
       "  array([0.053328  , 0.10947237, 0.08824669, 0.08610554, 0.10811878,\n",
       "         0.10789042, 0.10914854, 0.11485063, 0.10925488, 0.11358415]),\n",
       "  array([0.03908843, 0.11263239, 0.07458146, 0.16636309, 0.0718471 ,\n",
       "         0.17372698, 0.03390282, 0.12022153, 0.13806158, 0.06957463]),\n",
       "  array([0.11505615, 0.04792359, 0.080171  , 0.13331004, 0.12264152,\n",
       "         0.13282887, 0.12792405, 0.03800306, 0.06460681, 0.1375349 ]),\n",
       "  array([0.05349335, 0.25128063, 0.05238833, 0.02659063, 0.20547924,\n",
       "         0.14939219, 0.06321603, 0.08092704, 0.07707931, 0.04015324]),\n",
       "  array([0.16886464, 0.0376281 , 0.03400756, 0.12213707, 0.15511635,\n",
       "         0.17460479, 0.10418095, 0.0115672 , 0.15242217, 0.03947117]),\n",
       "  array([0.03113514, 0.10277274, 0.02440981, 0.06076644, 0.2048726 ,\n",
       "         0.15888185, 0.20092259, 0.04161921, 0.10092312, 0.0736965 ]),\n",
       "  array([0.06955019, 0.0372698 , 0.09828955, 0.08711764, 0.06552481,\n",
       "         0.18687411, 0.08456579, 0.03832753, 0.1817448 , 0.15073578]),\n",
       "  array([0.05892452, 0.0619085 , 0.0704432 , 0.05043847, 0.14412848,\n",
       "         0.15788156, 0.1577757 , 0.02447553, 0.1697323 , 0.10429175]),\n",
       "  array([0.01022617, 0.02854982, 0.21010619, 0.03280886, 0.07069738,\n",
       "         0.11117394, 0.19149185, 0.00237128, 0.13982785, 0.20274667]),\n",
       "  array([0.07756325, 0.05198521, 0.15813624, 0.06357325, 0.06826267,\n",
       "         0.05637451, 0.15423501, 0.13536474, 0.17430985, 0.06019529]),\n",
       "  array([0.08041834, 0.0605612 , 0.04421249, 0.20474142, 0.16254744,\n",
       "         0.08888981, 0.06917521, 0.10025773, 0.0554897 , 0.13370666]),\n",
       "  array([0.1273137 , 0.17778203, 0.06187564, 0.02424994, 0.06141229,\n",
       "         0.05321186, 0.05451026, 0.20891264, 0.16898253, 0.06174911]),\n",
       "  array([0.15422222, 0.03643748, 0.12095645, 0.14624778, 0.10690369,\n",
       "         0.15660546, 0.05484411, 0.0420231 , 0.11083531, 0.07092438]),\n",
       "  array([0.01298821, 0.1925295 , 0.10931791, 0.17343336, 0.01593795,\n",
       "         0.00171557, 0.14307266, 0.04651684, 0.15030501, 0.15418299]),\n",
       "  array([0.12333434, 0.11355516, 0.04532131, 0.17052649, 0.10412797,\n",
       "         0.09854324, 0.08277277, 0.04071196, 0.03388239, 0.18722437]),\n",
       "  array([0.04233489, 0.09910101, 0.08089807, 0.00345255, 0.17384414,\n",
       "         0.11690901, 0.20887968, 0.09917137, 0.10817934, 0.06722993]),\n",
       "  array([0.14071745, 0.07642537, 0.10365954, 0.05390586, 0.14826695,\n",
       "         0.12634549, 0.13984571, 0.06963342, 0.13755033, 0.00364987]),\n",
       "  array([0.10880761, 0.1014919 , 0.03008579, 0.11447878, 0.14260081,\n",
       "         0.12327899, 0.05233275, 0.17831038, 0.1327272 , 0.0158858 ]),\n",
       "  array([0.04119709, 0.16358351, 0.17482206, 0.06939552, 0.12856694,\n",
       "         0.11258457, 0.06913436, 0.10961048, 0.02866156, 0.10244392]),\n",
       "  array([0.15210639, 0.06621907, 0.11672027, 0.1394793 , 0.16161847,\n",
       "         0.12657102, 0.09576531, 0.01778488, 0.10710007, 0.01663522]),\n",
       "  array([0.16624927, 0.10076469, 0.06200784, 0.16758784, 0.0549114 ,\n",
       "         0.12487741, 0.02966629, 0.10212338, 0.13392528, 0.0578866 ]),\n",
       "  array([0.09207998, 0.09998043, 0.08309032, 0.16533512, 0.00536913,\n",
       "         0.13362984, 0.01381946, 0.14698486, 0.15716859, 0.10254225]),\n",
       "  array([0.16996875, 0.19703385, 0.06604096, 0.08769384, 0.12978096,\n",
       "         0.09325681, 0.01446877, 0.00835851, 0.0292137 , 0.20418386]),\n",
       "  array([0.16339777, 0.18247732, 0.0079529 , 0.11535588, 0.11485066,\n",
       "         0.06879155, 0.00683364, 0.08366187, 0.02661649, 0.23006192]),\n",
       "  array([0.06308446, 0.14775003, 0.01710451, 0.15466297, 0.01862156,\n",
       "         0.18159319, 0.07056594, 0.12641227, 0.15586851, 0.06433654]),\n",
       "  array([0.11154061, 0.11403714, 0.13462153, 0.13408309, 0.04465416,\n",
       "         0.08854174, 0.07576372, 0.01728073, 0.14917057, 0.13030671]),\n",
       "  array([0.12084263, 0.02820133, 0.01552002, 0.10541477, 0.06356306,\n",
       "         0.19175261, 0.05802579, 0.12027045, 0.12892069, 0.16748864]),\n",
       "  array([0.11774392, 0.09670053, 0.10310296, 0.12868694, 0.07333463,\n",
       "         0.01586827, 0.15898587, 0.00848484, 0.14092488, 0.15616715]),\n",
       "  array([0.15135076, 0.01154614, 0.03548747, 0.04408182, 0.1818433 ,\n",
       "         0.18084471, 0.06283857, 0.05608009, 0.08896685, 0.1869603 ]),\n",
       "  array([0.04832147, 0.06310023, 0.04367253, 0.05191181, 0.20379607,\n",
       "         0.02458215, 0.11013862, 0.19372638, 0.21783044, 0.0429203 ]),\n",
       "  array([0.15409209, 0.06696651, 0.01243948, 0.02583568, 0.15849442,\n",
       "         0.1315511 , 0.11621766, 0.04895033, 0.16810199, 0.11735075]),\n",
       "  array([0.1562988 , 0.14965557, 0.10972316, 0.13262529, 0.02416099,\n",
       "         0.09568641, 0.07300444, 0.10429573, 0.14061447, 0.01393515]),\n",
       "  array([0.14871081, 0.12467618, 0.10795199, 0.14061363, 0.02116106,\n",
       "         0.07322965, 0.1091728 , 0.06570099, 0.07633674, 0.13244615]),\n",
       "  array([0.12550246, 0.01645932, 0.00798761, 0.02971503, 0.23016032,\n",
       "         0.12276669, 0.14371172, 0.01271864, 0.21987805, 0.09110016]),\n",
       "  array([0.04567952, 0.10233035, 0.09675909, 0.09324434, 0.14406602,\n",
       "         0.01531226, 0.16545217, 0.17231898, 0.06232523, 0.10251205]),\n",
       "  array([0.07532303, 0.04179809, 0.08837535, 0.185028  , 0.05469369,\n",
       "         0.10221263, 0.00281617, 0.15146957, 0.1347823 , 0.16350117]),\n",
       "  array([0.00756388, 0.16223922, 0.06368532, 0.08580694, 0.24001029,\n",
       "         0.20652628, 0.11317151, 0.08647929, 0.01010726, 0.02441001]),\n",
       "  array([0.01938817, 0.05968803, 0.09582392, 0.00779956, 0.0194853 ,\n",
       "         0.15091374, 0.14931126, 0.18590543, 0.15391849, 0.1577661 ]),\n",
       "  array([0.12309995, 0.1220808 , 0.11803039, 0.06263731, 0.07571363,\n",
       "         0.06567669, 0.0651833 , 0.06675375, 0.14456007, 0.1562641 ]),\n",
       "  array([0.11665856, 0.12921257, 0.07341401, 0.11028932, 0.11817748,\n",
       "         0.12801102, 0.11303602, 0.10801042, 0.016482  , 0.08670859]),\n",
       "  array([0.08691535, 0.09230941, 0.06674312, 0.07396984, 0.12825804,\n",
       "         0.10270004, 0.14692679, 0.110294  , 0.10509343, 0.08678999]),\n",
       "  array([0.02105884, 0.20059412, 0.02436593, 0.13046368, 0.04058839,\n",
       "         0.22186736, 0.12232851, 0.03252683, 0.12893708, 0.07726928]),\n",
       "  array([0.17052809, 0.08384539, 0.12912587, 0.07811886, 0.1437656 ,\n",
       "         0.10527103, 0.0463806 , 0.16594469, 0.04827538, 0.0287445 ]),\n",
       "  array([0.08656316, 0.15413631, 0.00496104, 0.07327718, 0.02330811,\n",
       "         0.03636457, 0.10246583, 0.15029597, 0.1620485 , 0.20657933]),\n",
       "  array([0.06326393, 0.16044695, 0.19159117, 0.00764195, 0.09164699,\n",
       "         0.11205663, 0.18939069, 0.07686167, 0.01885951, 0.08824049]),\n",
       "  array([0.02076775, 0.13148008, 0.00910325, 0.15019863, 0.18891315,\n",
       "         0.03450319, 0.18467994, 0.1126209 , 0.06801079, 0.09972231]),\n",
       "  array([0.13335825, 0.0845278 , 0.18953162, 0.11926121, 0.13831738,\n",
       "         0.09613619, 0.11287043, 0.02558696, 0.04211127, 0.05829888]),\n",
       "  array([0.08989587, 0.15739362, 0.04931006, 0.04632944, 0.12029307,\n",
       "         0.14351488, 0.16942603, 0.01239274, 0.18080119, 0.0306431 ]),\n",
       "  array([0.16274317, 0.12928187, 0.17360488, 0.07235358, 0.14693888,\n",
       "         0.10492718, 0.06337866, 0.03479656, 0.06196562, 0.05000959]),\n",
       "  array([0.20026986, 0.06080455, 0.19011541, 0.00694203, 0.05997654,\n",
       "         0.10986455, 0.14685423, 0.00459854, 0.12067397, 0.09990031]),\n",
       "  array([0.0998356 , 0.09135312, 0.10296649, 0.05502235, 0.16208922,\n",
       "         0.12820595, 0.12509288, 0.1032527 , 0.09197522, 0.04020648]),\n",
       "  array([0.05142671, 0.04224765, 0.19588835, 0.10633252, 0.17209903,\n",
       "         0.00386026, 0.04090979, 0.17897957, 0.05401512, 0.154241  ]),\n",
       "  array([0.1505732 , 0.10312787, 0.11439323, 0.1139382 , 0.07583594,\n",
       "         0.08567174, 0.05540058, 0.09724649, 0.11976637, 0.08404637]),\n",
       "  array([0.16707501, 0.0048514 , 0.13630065, 0.01863057, 0.0344599 ,\n",
       "         0.1650233 , 0.04044703, 0.1671356 , 0.10640906, 0.15966748]),\n",
       "  array([0.12868321, 0.09006417, 0.11467154, 0.06701367, 0.03514808,\n",
       "         0.13743771, 0.1288865 , 0.08238605, 0.06246808, 0.15324099]),\n",
       "  array([0.03881087, 0.20184877, 0.10486963, 0.09503441, 0.16394365,\n",
       "         0.02058572, 0.04713895, 0.17534406, 0.01214249, 0.14028144]),\n",
       "  array([0.14949729, 0.09620814, 0.13431906, 0.01343504, 0.14883726,\n",
       "         0.17009549, 0.04097958, 0.00860047, 0.0801944 , 0.15783327]),\n",
       "  array([0.1747155 , 0.05466823, 0.19204897, 0.06195015, 0.12033952,\n",
       "         0.13183723, 0.01413301, 0.07579178, 0.1191396 , 0.05537603]),\n",
       "  array([0.14545921, 0.16620555, 0.139941  , 0.03837959, 0.22458509,\n",
       "         0.16202101, 0.02753844, 0.05057645, 0.04145542, 0.00383823]),\n",
       "  array([0.02312545, 0.07925785, 0.1080917 , 0.12925866, 0.05419344,\n",
       "         0.17590682, 0.08972244, 0.07451957, 0.07992652, 0.18599755]),\n",
       "  array([0.07262102, 0.03378146, 0.06787247, 0.08160562, 0.14054448,\n",
       "         0.03692048, 0.08152442, 0.17663545, 0.12988597, 0.17860863]),\n",
       "  array([0.16695233, 0.06552414, 0.16188619, 0.12701861, 0.11141841,\n",
       "         0.1312879 , 0.01321989, 0.01530866, 0.15752496, 0.04985891]),\n",
       "  array([0.17016792, 0.15846012, 0.11703383, 0.06677632, 0.07538785,\n",
       "         0.1349442 , 0.07022651, 0.08221497, 0.07187359, 0.05291468]),\n",
       "  array([0.28449881, 0.07497372, 0.06898937, 0.11994171, 0.14201073,\n",
       "         0.00316553, 0.04876964, 0.0162555 , 0.05247481, 0.18892018]),\n",
       "  array([0.16263113, 0.05098571, 0.1734265 , 0.0999379 , 0.03129972,\n",
       "         0.00123658, 0.18928635, 0.04663786, 0.19323992, 0.05131832]),\n",
       "  array([0.04372444, 0.09617964, 0.11329159, 0.18312292, 0.00061588,\n",
       "         0.0606978 , 0.05180424, 0.14437072, 0.12061264, 0.18558014]),\n",
       "  array([0.18528789, 0.09250236, 0.02323909, 0.14241896, 0.05603882,\n",
       "         0.08684308, 0.00812793, 0.16835407, 0.20235316, 0.03483464]),\n",
       "  array([0.10794225, 0.08081995, 0.13318938, 0.07139612, 0.18688789,\n",
       "         0.04087306, 0.08487376, 0.16909057, 0.07073174, 0.05419528]),\n",
       "  array([0.13150117, 0.00171448, 0.16998855, 0.00496939, 0.20550236,\n",
       "         0.01460907, 0.16621887, 0.02234791, 0.11085708, 0.17229113]),\n",
       "  array([0.11840091, 0.05342572, 0.13564539, 0.12892481, 0.0064631 ,\n",
       "         0.13496984, 0.14182611, 0.10989724, 0.03936953, 0.13107734]),\n",
       "  array([0.1163151 , 0.09338484, 0.12465959, 0.06821561, 0.09767002,\n",
       "         0.11282648, 0.11585338, 0.06795027, 0.06343061, 0.13969411]),\n",
       "  array([0.14636841, 0.01198017, 0.10251685, 0.10701904, 0.11769622,\n",
       "         0.05619373, 0.03860129, 0.15497544, 0.13195008, 0.13269876]),\n",
       "  array([0.08425991, 0.13514227, 0.02500193, 0.02896612, 0.1509212 ,\n",
       "         0.16533306, 0.15692306, 0.04647378, 0.02784674, 0.17913193]),\n",
       "  array([0.10102369, 0.11631335, 0.03637742, 0.17894516, 0.08804114,\n",
       "         0.12413081, 0.09566833, 0.06922061, 0.00957435, 0.18070513]),\n",
       "  array([0.11536663, 0.08044288, 0.13111632, 0.06672954, 0.0712867 ,\n",
       "         0.17038413, 0.07110792, 0.08606642, 0.06057959, 0.14691987]),\n",
       "  array([0.00506555, 0.20265797, 0.10805815, 0.00870086, 0.01279744,\n",
       "         0.12056379, 0.17126415, 0.16103001, 0.09508599, 0.11477608]),\n",
       "  array([0.11211176, 0.04845506, 0.00773627, 0.09474198, 0.2158694 ,\n",
       "         0.02484956, 0.11951918, 0.10750654, 0.10171098, 0.16749928]),\n",
       "  array([0.147841  , 0.20741921, 0.02499178, 0.0645191 , 0.17873995,\n",
       "         0.02421499, 0.2466988 , 0.07743178, 0.016391  , 0.01175238]),\n",
       "  array([0.07383256, 0.04960904, 0.06179331, 0.02536007, 0.10799522,\n",
       "         0.15632127, 0.18565662, 0.06865561, 0.1371573 , 0.133619  ]),\n",
       "  array([0.15529671, 0.1126889 , 0.06561997, 0.09766546, 0.19761753,\n",
       "         0.04490467, 0.07030433, 0.00937505, 0.17925789, 0.06726949]),\n",
       "  array([0.12081486, 0.1249524 , 0.1906289 , 0.01570746, 0.00355411,\n",
       "         0.05084767, 0.11120147, 0.09120306, 0.11511645, 0.17597361]),\n",
       "  array([0.0134924 , 0.05392336, 0.15679962, 0.15591362, 0.12335103,\n",
       "         0.15759729, 0.00087839, 0.06359147, 0.12485957, 0.14959326]),\n",
       "  array([0.15025501, 0.07315122, 0.12867848, 0.11631691, 0.13033566,\n",
       "         0.15007619, 0.05560893, 0.07187442, 0.11030456, 0.01339862]),\n",
       "  array([0.06908364, 0.04915258, 0.04655853, 0.20415477, 0.12584815,\n",
       "         0.17935211, 0.12733806, 0.15348083, 0.04013301, 0.00489831]),\n",
       "  array([0.00894627, 0.11609411, 0.17185509, 0.02272889, 0.08211561,\n",
       "         0.07434216, 0.1461651 , 0.0206515 , 0.11323785, 0.24386342]),\n",
       "  array([0.04033648, 0.0909232 , 0.00207876, 0.06757548, 0.15107324,\n",
       "         0.12864884, 0.2392678 , 0.13900182, 0.10722289, 0.03387148]),\n",
       "  array([0.03945799, 0.19907613, 0.04916347, 0.0104348 , 0.16865992,\n",
       "         0.04877203, 0.00776553, 0.12618259, 0.18020965, 0.1702779 ]),\n",
       "  array([0.19773245, 0.09208072, 0.09478914, 0.22034254, 0.06227204,\n",
       "         0.0785492 , 0.048745  , 0.06308091, 0.05005228, 0.09235572]),\n",
       "  array([0.07665626, 0.1530704 , 0.13949921, 0.10342344, 0.12313882,\n",
       "         0.0299597 , 0.11685677, 0.09248992, 0.13805138, 0.02685412]),\n",
       "  array([0.04965577, 0.25358654, 0.08385609, 0.0395563 , 0.16421996,\n",
       "         0.08995493, 0.02810401, 0.06378589, 0.14165129, 0.08562921]),\n",
       "  array([0.09423708, 0.05323228, 0.12419566, 0.03377398, 0.16173322,\n",
       "         0.01317988, 0.15897929, 0.1571914 , 0.14821157, 0.05526564]),\n",
       "  array([0.11559507, 0.12090832, 0.1736237 , 0.12722686, 0.05314647,\n",
       "         0.09653848, 0.02791235, 0.12055603, 0.12343152, 0.0410612 ]),\n",
       "  array([0.12394561, 0.12243526, 0.0651664 , 0.11797941, 0.01526436,\n",
       "         0.14539162, 0.09657372, 0.13014128, 0.14558709, 0.03751524]),\n",
       "  array([0.17438044, 0.00684392, 0.0788844 , 0.11889598, 0.01555104,\n",
       "         0.08867392, 0.09852054, 0.15476469, 0.1793186 , 0.08416647]),\n",
       "  array([0.0694987 , 0.0051005 , 0.14368947, 0.09075552, 0.18745486,\n",
       "         0.08769082, 0.09635665, 0.0777265 , 0.09625289, 0.1454741 ]),\n",
       "  array([0.17091965, 0.08334933, 0.00870206, 0.16496411, 0.0672133 ,\n",
       "         0.17953498, 0.11770037, 0.01191015, 0.0368293 , 0.15887674]),\n",
       "  array([0.12523759, 0.09536558, 0.04403807, 0.081154  , 0.18886904,\n",
       "         0.20519418, 0.06722071, 0.00576419, 0.05115983, 0.13599682]),\n",
       "  array([0.10095978, 0.14661755, 0.0395656 , 0.18822805, 0.0597785 ,\n",
       "         0.09630853, 0.11846743, 0.02448861, 0.17452283, 0.05106313]),\n",
       "  array([0.13396917, 0.03476535, 0.11679145, 0.14750684, 0.05535844,\n",
       "         0.00358305, 0.09356934, 0.15407749, 0.13209714, 0.12828174]),\n",
       "  array([0.2033869 , 0.05078156, 0.05711699, 0.11595653, 0.02011192,\n",
       "         0.09964439, 0.13277797, 0.06030226, 0.15150038, 0.1084211 ]),\n",
       "  array([0.15516926, 0.05965112, 0.03345888, 0.17251002, 0.13587042,\n",
       "         0.0453552 , 0.07126136, 0.07095371, 0.1696918 , 0.08607823]),\n",
       "  array([0.11208587, 0.07610049, 0.03791957, 0.11769261, 0.08304144,\n",
       "         0.18153791, 0.0595644 , 0.11760551, 0.17315081, 0.04130138]),\n",
       "  array([0.15497938, 0.03051271, 0.04456072, 0.17082759, 0.06373878,\n",
       "         0.16648953, 0.02620224, 0.17898274, 0.10138844, 0.06231787]),\n",
       "  array([0.08091506, 0.06782929, 0.08050886, 0.09786448, 0.06079371,\n",
       "         0.01964749, 0.15884458, 0.11387358, 0.13309642, 0.18662653]),\n",
       "  array([0.10122685, 0.19801892, 0.10386637, 0.06182708, 0.1827193 ,\n",
       "         0.00307172, 0.15370896, 0.09229461, 0.08339022, 0.01987598]),\n",
       "  array([0.13389738, 0.07577572, 0.10374026, 0.16198929, 0.10857905,\n",
       "         0.03076548, 0.08292169, 0.13582253, 0.01552745, 0.15098114]),\n",
       "  array([0.01224383, 0.1830749 , 0.12362057, 0.17231566, 0.10574374,\n",
       "         0.06230972, 0.09455507, 0.01611656, 0.04593532, 0.18408464]),\n",
       "  array([0.16729609, 0.18891946, 0.147171  , 0.02461749, 0.00805818,\n",
       "         0.10720859, 0.10442082, 0.04427625, 0.18216702, 0.02586511]),\n",
       "  array([0.01179351, 0.16300682, 0.00161727, 0.01293891, 0.15908148,\n",
       "         0.17030345, 0.1601901 , 0.127307  , 0.03261588, 0.16114559]),\n",
       "  array([0.19812479, 0.1929663 , 0.05249   , 0.06314909, 0.2357665 ,\n",
       "         0.04606814, 0.02664443, 0.00751117, 0.12803746, 0.04924213]),\n",
       "  array([0.10931696, 0.07916458, 0.1360694 , 0.08326704, 0.05740289,\n",
       "         0.11335965, 0.12343426, 0.11588032, 0.08353638, 0.09856852]),\n",
       "  array([0.07751423, 0.05281659, 0.07940478, 0.11463807, 0.1741473 ,\n",
       "         0.18211653, 0.12023697, 0.09343507, 0.0318074 , 0.07388305]),\n",
       "  array([0.0627369 , 0.04360511, 0.08848619, 0.10197041, 0.10649546,\n",
       "         0.12340558, 0.04893868, 0.17714117, 0.11693668, 0.13028384]),\n",
       "  array([0.14967732, 0.15358744, 0.01461702, 0.10193217, 0.14347365,\n",
       "         0.04379363, 0.01529257, 0.08561431, 0.14201039, 0.15000151]),\n",
       "  array([0.07376425, 0.09738695, 0.03825785, 0.17448185, 0.12868608,\n",
       "         0.07162916, 0.14717809, 0.11196936, 0.12962288, 0.02702353]),\n",
       "  array([0.02572058, 0.09020241, 0.16886491, 0.0705715 , 0.1558651 ,\n",
       "         0.01590962, 0.14320211, 0.06082654, 0.17680656, 0.09203068]),\n",
       "  array([0.17056732, 0.08707102, 0.14171833, 0.11117882, 0.07801064,\n",
       "         0.02754606, 0.09899545, 0.03753063, 0.2059477 , 0.04143403]),\n",
       "  array([0.09321044, 0.12458393, 0.10538011, 0.1377321 , 0.11924903,\n",
       "         0.06041558, 0.05780223, 0.19659839, 0.10366713, 0.00136105]),\n",
       "  array([0.12085824, 0.09386221, 0.06362013, 0.11898942, 0.14060038,\n",
       "         0.12269675, 0.0775264 , 0.07126476, 0.13009003, 0.06049169]),\n",
       "  array([0.11186995, 0.08573157, 0.08648723, 0.05650581, 0.12486184,\n",
       "         0.13535747, 0.04240972, 0.07220897, 0.12538375, 0.15918369]),\n",
       "  array([0.05069785, 0.12298657, 0.02760551, 0.05533346, 0.17121587,\n",
       "         0.22871586, 0.02444851, 0.02097209, 0.21785179, 0.08017248]),\n",
       "  array([0.14280394, 0.13112724, 0.15093668, 0.09441878, 0.12677716,\n",
       "         0.07628117, 0.00408808, 0.11721868, 0.08110533, 0.07524294]),\n",
       "  array([0.17090962, 0.14198935, 0.03124613, 0.16555128, 0.07331   ,\n",
       "         0.09098927, 0.16421138, 0.01067254, 0.02396793, 0.12715249]),\n",
       "  array([0.08766972, 0.01043668, 0.08648006, 0.10445198, 0.14345923,\n",
       "         0.18640586, 0.16222319, 0.12789029, 0.01491506, 0.07606793]),\n",
       "  array([0.04819134, 0.02237976, 0.14408156, 0.12564024, 0.0838774 ,\n",
       "         0.14358481, 0.09204234, 0.12630003, 0.15513604, 0.05876647]),\n",
       "  array([0.12322455, 0.06607754, 0.13016552, 0.03750167, 0.09474652,\n",
       "         0.08919113, 0.07062581, 0.16227033, 0.1032074 , 0.12298953]),\n",
       "  array([0.12038605, 0.00658963, 0.20879022, 0.06269097, 0.16027308,\n",
       "         0.0225235 , 0.11725233, 0.07669672, 0.06669526, 0.15810225]),\n",
       "  array([0.16559238, 0.02000967, 0.16804091, 0.1307089 , 0.03214734,\n",
       "         0.11503344, 0.07648019, 0.09863093, 0.11544626, 0.07790999]),\n",
       "  array([0.01083516, 0.05206042, 0.12721768, 0.18791433, 0.07765858,\n",
       "         0.16955173, 0.12847193, 0.16691961, 0.06796739, 0.01140317]),\n",
       "  array([0.08306821, 0.04749978, 0.16792583, 0.18165267, 0.05166044,\n",
       "         0.09642301, 0.00192563, 0.02627152, 0.22682502, 0.11674787]),\n",
       "  array([0.08125828, 0.03389544, 0.10801359, 0.0716358 , 0.03963013,\n",
       "         0.14441661, 0.12206241, 0.16784447, 0.15903888, 0.07220438]),\n",
       "  array([0.07353858, 0.17320191, 0.2085924 , 0.17457315, 0.15055062,\n",
       "         0.04031145, 0.12354203, 0.0010313 , 0.04542052, 0.00923803]),\n",
       "  array([0.09387824, 0.03165003, 0.13604195, 0.14758337, 0.11750076,\n",
       "         0.10422622, 0.00375493, 0.15638638, 0.16396389, 0.04501424]),\n",
       "  array([0.07377492, 0.05249233, 0.13675424, 0.08514429, 0.15325643,\n",
       "         0.16204272, 0.03050575, 0.12508073, 0.00403913, 0.17690946]),\n",
       "  array([0.15592048, 0.08359169, 0.07885072, 0.16189628, 0.10575455,\n",
       "         0.15032538, 0.08177464, 0.11581772, 0.0362523 , 0.02981624]),\n",
       "  array([0.07292263, 0.13174209, 0.11782008, 0.14350285, 0.14005772,\n",
       "         0.08450295, 0.14177254, 0.01534862, 0.00199551, 0.15033503]),\n",
       "  array([0.14267211, 0.07840077, 0.10818515, 0.13064257, 0.1446386 ,\n",
       "         0.1504363 , 0.08466598, 0.03491654, 0.06491591, 0.06052608]),\n",
       "  array([0.02531156, 0.04152598, 0.16827553, 0.11122565, 0.01767971,\n",
       "         0.13221665, 0.09661383, 0.15135389, 0.18053539, 0.07526182]),\n",
       "  array([0.14049614, 0.05283651, 0.18661703, 0.06976479, 0.04258495,\n",
       "         0.024342  , 0.11576286, 0.09692704, 0.16957366, 0.101095  ]),\n",
       "  array([0.1633867 , 0.13225734, 0.0321924 , 0.01199634, 0.07435866,\n",
       "         0.12084655, 0.15720829, 0.16395835, 0.04610494, 0.09769043]),\n",
       "  array([0.12088482, 0.06209509, 0.21821212, 0.15526954, 0.00493089,\n",
       "         0.11566107, 0.10769306, 0.10003062, 0.09932751, 0.01589528]),\n",
       "  array([0.08942805, 0.04308712, 0.01599063, 0.16119622, 0.02759513,\n",
       "         0.08834329, 0.23834488, 0.06460227, 0.09913899, 0.17227344]),\n",
       "  array([0.11402271, 0.09218714, 0.0246479 , 0.13774051, 0.02673673,\n",
       "         0.06257218, 0.19116457, 0.11938401, 0.1193252 , 0.11221905]),\n",
       "  array([0.03762537, 0.20940484, 0.0079328 , 0.13015835, 0.05587391,\n",
       "         0.21113123, 0.05986846, 0.1143655 , 0.04538068, 0.12825886]),\n",
       "  array([0.00397449, 0.08149822, 0.01894165, 0.12860642, 0.13316857,\n",
       "         0.12638546, 0.16261663, 0.11963521, 0.11877151, 0.10640184]),\n",
       "  array([0.04219512, 0.11891109, 0.04668141, 0.02712582, 0.03687665,\n",
       "         0.0964713 , 0.16709131, 0.13668084, 0.15966309, 0.16830337]),\n",
       "  array([0.0887689 , 0.07754498, 0.03960759, 0.06738973, 0.07511286,\n",
       "         0.12321667, 0.18817582, 0.06783908, 0.07116061, 0.20118377]),\n",
       "  array([0.00954899, 0.07219737, 0.0273001 , 0.1318016 , 0.0626311 ,\n",
       "         0.18062065, 0.14808964, 0.01990296, 0.19091815, 0.15698946]),\n",
       "  array([0.03575825, 0.10769458, 0.13153758, 0.01538919, 0.14957494,\n",
       "         0.0130201 , 0.14550624, 0.09525933, 0.15368051, 0.15257927]),\n",
       "  array([0.06009391, 0.10140618, 0.16941141, 0.0316279 , 0.05729273,\n",
       "         0.17997803, 0.14783417, 0.03380292, 0.10701586, 0.11153688]),\n",
       "  array([0.10492103, 0.02350404, 0.14268323, 0.06804751, 0.23311442,\n",
       "         0.12686924, 0.11179384, 0.01501686, 0.06835328, 0.10569655]),\n",
       "  array([0.01575462, 0.06407507, 0.17577256, 0.17237269, 0.10204857,\n",
       "         0.07351089, 0.03344462, 0.19673775, 0.13274524, 0.03353798]),\n",
       "  array([0.04651453, 0.13290072, 0.15590183, 0.15386799, 0.1409335 ,\n",
       "         0.10016784, 0.15307521, 0.07191302, 0.01914498, 0.02558038]),\n",
       "  array([0.08641625, 0.05636006, 0.1310828 , 0.05640733, 0.10061501,\n",
       "         0.16720372, 0.0970294 , 0.16653161, 0.05993833, 0.0784155 ]),\n",
       "  array([0.14253727, 0.19823579, 0.08830247, 0.00379632, 0.11751211,\n",
       "         0.19797611, 0.01483721, 0.08106195, 0.08905824, 0.06668253]),\n",
       "  array([0.1126809 , 0.08393764, 0.05141685, 0.12346543, 0.13516535,\n",
       "         0.12408702, 0.10781695, 0.03546885, 0.14028149, 0.08567952]),\n",
       "  array([0.1330505 , 0.00019068, 0.02397812, 0.11838242, 0.1370974 ,\n",
       "         0.17824434, 0.01548692, 0.15121295, 0.14172887, 0.10062781]),\n",
       "  array([0.09511589, 0.08384602, 0.00629186, 0.04738225, 0.08524523,\n",
       "         0.1731009 , 0.12213596, 0.16308471, 0.14230773, 0.08148946]),\n",
       "  array([0.02677488, 0.18733857, 0.19489259, 0.04283017, 0.07352585,\n",
       "         0.10676147, 0.03257838, 0.06538093, 0.18862066, 0.0812965 ]),\n",
       "  array([0.07838189, 0.01146898, 0.03735177, 0.15411066, 0.14236682,\n",
       "         0.17112133, 0.16636731, 0.01712261, 0.1282498 , 0.09345885]),\n",
       "  array([0.18644247, 0.08337325, 0.03417518, 0.21044128, 0.06344133,\n",
       "         0.18322519, 0.03768134, 0.1029837 , 0.01356483, 0.08467142]),\n",
       "  array([0.04871737, 0.11902415, 0.05029823, 0.12342602, 0.09504241,\n",
       "         0.1294312 , 0.13981071, 0.12079596, 0.10500404, 0.06844991]),\n",
       "  array([0.02218978, 0.18896431, 0.07473813, 0.13425379, 0.15325992,\n",
       "         0.07799925, 0.11832813, 0.0282855 , 0.04589537, 0.15608581]),\n",
       "  array([0.03279265, 0.18073832, 0.20866489, 0.0135358 , 0.05056191,\n",
       "         0.02629285, 0.19855035, 0.04496447, 0.08874279, 0.15515597]),\n",
       "  array([0.18829793, 0.03668702, 0.19067306, 0.09009671, 0.15784617,\n",
       "         0.05414046, 0.09797418, 0.0589318 , 0.05424015, 0.07111252]),\n",
       "  array([0.07045097, 0.12453814, 0.09981667, 0.08367929, 0.03778997,\n",
       "         0.22572994, 0.0346623 , 0.22359891, 0.00536341, 0.09437039]),\n",
       "  array([0.04742478, 0.19037879, 0.12287607, 0.1451542 , 0.02650149,\n",
       "         0.13587132, 0.11029676, 0.01723924, 0.13332447, 0.07093288]),\n",
       "  array([0.0224816 , 0.14281097, 0.02816131, 0.10259235, 0.09438344,\n",
       "         0.0722597 , 0.18474207, 0.15831972, 0.00956842, 0.18468042]),\n",
       "  array([0.02599902, 0.02549414, 0.07260027, 0.13800277, 0.07718675,\n",
       "         0.11652588, 0.15271286, 0.14406893, 0.12725936, 0.12015002]),\n",
       "  array([0.07346717, 0.13232693, 0.16161752, 0.11904231, 0.03657838,\n",
       "         0.13174031, 0.1279338 , 0.02611391, 0.0705055 , 0.12067417]),\n",
       "  array([0.16062776, 0.03114034, 0.14564538, 0.00744785, 0.00283767,\n",
       "         0.06818973, 0.02442206, 0.19587286, 0.15999738, 0.20381898]),\n",
       "  array([0.14365683, 0.05309047, 0.05776039, 0.0688159 , 0.1463265 ,\n",
       "         0.10750502, 0.06697058, 0.12872245, 0.08291453, 0.14423733]),\n",
       "  array([0.05147186, 0.1018935 , 0.01671898, 0.05567768, 0.17565687,\n",
       "         0.03978455, 0.13283371, 0.1150008 , 0.12763311, 0.18332894]),\n",
       "  array([0.14096211, 0.19314676, 0.03982175, 0.04963283, 0.14487539,\n",
       "         0.04877354, 0.02964651, 0.01678653, 0.20009766, 0.13625692]),\n",
       "  array([0.11918598, 0.18056846, 0.03952368, 0.03723514, 0.10080489,\n",
       "         0.17805906, 0.167299  , 0.12774957, 0.02413801, 0.02543621]),\n",
       "  array([0.12323851, 0.16619626, 0.08102515, 0.00390992, 0.0186374 ,\n",
       "         0.12254529, 0.14856344, 0.03011626, 0.19232952, 0.11343825]),\n",
       "  array([0.03367187, 0.04649837, 0.01890819, 0.21955459, 0.16555559,\n",
       "         0.17116914, 0.09830076, 0.07533537, 0.1242365 , 0.04676963]),\n",
       "  array([0.13767481, 0.06305486, 0.124238  , 0.14126443, 0.10802956,\n",
       "         0.0616711 , 0.12286103, 0.12520391, 0.03069789, 0.08530441]),\n",
       "  array([0.18244632, 0.0258711 , 0.06519305, 0.19155205, 0.01946415,\n",
       "         0.01211919, 0.08992307, 0.29612157, 0.06590768, 0.05140182]),\n",
       "  array([0.12774565, 0.15247845, 0.09143687, 0.02883408, 0.12913364,\n",
       "         0.07365826, 0.12016335, 0.08519591, 0.09074568, 0.10060811]),\n",
       "  array([0.00327374, 0.12120049, 0.23784475, 0.05508506, 0.13850534,\n",
       "         0.00070076, 0.07565974, 0.15849618, 0.13248837, 0.07674557]),\n",
       "  array([0.19809352, 0.00990562, 0.03087841, 0.03333371, 0.22053649,\n",
       "         0.24475661, 0.02035201, 0.0366817 , 0.08163956, 0.12382239]),\n",
       "  array([0.10592126, 0.10436607, 0.1737736 , 0.20020651, 0.00898116,\n",
       "         0.10885511, 0.04616978, 0.12016848, 0.02335211, 0.10820593]),\n",
       "  array([0.01087907, 0.06113001, 0.12433197, 0.14720888, 0.11594371,\n",
       "         0.04292269, 0.13703316, 0.1284464 , 0.10340589, 0.1286982 ]),\n",
       "  array([0.11117671, 0.04205825, 0.06386535, 0.15730188, 0.06365032,\n",
       "         0.13977135, 0.10990165, 0.02127425, 0.16620057, 0.12479968]),\n",
       "  array([0.15467856, 0.1189378 , 0.00655782, 0.06165389, 0.02080223,\n",
       "         0.11184835, 0.13067375, 0.13389997, 0.14504485, 0.11590278]),\n",
       "  array([0.12025754, 0.08170804, 0.02976426, 0.09851675, 0.12532455,\n",
       "         0.1116561 , 0.13896667, 0.11136534, 0.03046415, 0.1519766 ]),\n",
       "  array([0.02609311, 0.06104817, 0.11857832, 0.10981961, 0.16894151,\n",
       "         0.04311238, 0.13635482, 0.09208954, 0.16101186, 0.08295068]),\n",
       "  array([0.15642101, 0.16808722, 0.04981966, 0.00437366, 0.16887595,\n",
       "         0.12501352, 0.04130159, 0.15738295, 0.12429445, 0.00442999]),\n",
       "  array([0.1223801 , 0.08544904, 0.12590485, 0.03183569, 0.18392112,\n",
       "         0.11785339, 0.0360436 , 0.07795148, 0.0626948 , 0.15596593]),\n",
       "  array([0.1353011 , 0.06646843, 0.1260831 , 0.13679528, 0.06039466,\n",
       "         0.09998992, 0.07554792, 0.01740369, 0.06141022, 0.22060568]),\n",
       "  array([0.07773751, 0.21376608, 0.19622791, 0.00360361, 0.11987574,\n",
       "         0.04549365, 0.05331833, 0.08701097, 0.01722409, 0.18574211]),\n",
       "  array([0.18446262, 0.09732449, 0.03675099, 0.13708377, 0.12272524,\n",
       "         0.10945354, 0.02961979, 0.23287828, 0.0318244 , 0.01787689]),\n",
       "  array([0.06433905, 0.10739766, 0.16570546, 0.11075461, 0.08367733,\n",
       "         0.05730773, 0.11889581, 0.11803914, 0.10508967, 0.06879354]),\n",
       "  array([0.06993709, 0.08878936, 0.1290979 , 0.14859554, 0.12616874,\n",
       "         0.11154905, 0.16990354, 0.08387626, 0.01251532, 0.0595672 ]),\n",
       "  array([0.04096501, 0.07065661, 0.13871747, 0.11607089, 0.1076714 ,\n",
       "         0.13052699, 0.02595373, 0.13508559, 0.1257422 , 0.10861011]),\n",
       "  array([0.05378081, 0.02795929, 0.13947783, 0.16375507, 0.16589038,\n",
       "         0.10707914, 0.19706461, 0.05362884, 0.02978319, 0.06158084]),\n",
       "  array([0.10279587, 0.04900894, 0.06333799, 0.09664368, 0.06346425,\n",
       "         0.11284879, 0.12232112, 0.17552047, 0.14389617, 0.07016272]),\n",
       "  array([0.13799187, 0.04716799, 0.13970214, 0.17306065, 0.00150754,\n",
       "         0.10685774, 0.08855667, 0.08637005, 0.14684089, 0.07194447]),\n",
       "  array([0.00112264, 0.14724579, 0.14977697, 0.10053728, 0.13810879,\n",
       "         0.17613802, 0.08285507, 0.11469188, 0.06478184, 0.02474172]),\n",
       "  array([0.09434664, 0.00581884, 0.14053058, 0.05000745, 0.16806783,\n",
       "         0.13802204, 0.09869293, 0.05048443, 0.09904894, 0.15498033]),\n",
       "  array([0.03974462, 0.06684457, 0.17097982, 0.02221854, 0.1035785 ,\n",
       "         0.11913936, 0.16241506, 0.07924115, 0.11027766, 0.12556071]),\n",
       "  array([0.14925362, 0.01665867, 0.05522998, 0.20842413, 0.02525624,\n",
       "         0.12396895, 0.15456303, 0.15406349, 0.10092993, 0.01165197]),\n",
       "  array([0.11125153, 0.05203848, 0.16729774, 0.05660723, 0.14658063,\n",
       "         0.18530654, 0.0329681 , 0.08088966, 0.00431541, 0.16274469]),\n",
       "  array([0.13428534, 0.16970283, 0.09354865, 0.17704324, 0.17828265,\n",
       "         0.00420614, 0.03568079, 0.04786572, 0.10729393, 0.05209071]),\n",
       "  array([0.09447638, 0.09628373, 0.11147081, 0.09075837, 0.12003369,\n",
       "         0.1282857 , 0.11232761, 0.03001506, 0.08368733, 0.13266132]),\n",
       "  array([0.16414419, 0.1449024 , 0.14690664, 0.02905619, 0.07387952,\n",
       "         0.01697872, 0.14795596, 0.18990206, 0.08376676, 0.00250756]),\n",
       "  array([0.16222961, 0.12587565, 0.15889924, 0.18737089, 0.01692034,\n",
       "         0.01604577, 0.04464205, 0.00530001, 0.17498711, 0.10772934]),\n",
       "  array([0.07755018, 0.05222855, 0.11334481, 0.03193203, 0.13689852,\n",
       "         0.16038721, 0.11677587, 0.11726505, 0.13126216, 0.06235563]),\n",
       "  array([0.06551359, 0.10706432, 0.13377216, 0.05712796, 0.18602019,\n",
       "         0.18937017, 0.05911546, 0.03425686, 0.10277153, 0.06498777]),\n",
       "  array([0.10236706, 0.04922917, 0.14192459, 0.06249421, 0.03563408,\n",
       "         0.15962142, 0.12776208, 0.13636111, 0.0777735 , 0.10683277]),\n",
       "  array([0.1536691 , 0.05947603, 0.05506537, 0.15576499, 0.14740127,\n",
       "         0.012891  , 0.05190742, 0.1642197 , 0.13981811, 0.059787  ]),\n",
       "  array([0.0060953 , 0.16104011, 0.04419649, 0.11082347, 0.11437873,\n",
       "         0.14393468, 0.08921647, 0.09936049, 0.11725228, 0.11370199]),\n",
       "  array([0.14165018, 0.15462953, 0.12504123, 0.06084597, 0.14271745,\n",
       "         0.10631362, 0.11017634, 0.02841646, 0.03030129, 0.09990793]),\n",
       "  array([0.06985203, 0.10298291, 0.11263144, 0.13050586, 0.13016301,\n",
       "         0.08412718, 0.00275929, 0.13504564, 0.12569935, 0.10623329]),\n",
       "  array([0.12146158, 0.04647972, 0.10969813, 0.14135362, 0.06710071,\n",
       "         0.08321234, 0.04571843, 0.09658985, 0.14124983, 0.14713579]),\n",
       "  array([0.01934093, 0.10884568, 0.04697487, 0.0669998 , 0.24514133,\n",
       "         0.12464643, 0.149085  , 0.11552607, 0.03749533, 0.08594455]),\n",
       "  array([0.04318675, 0.01776405, 0.21455015, 0.02855713, 0.0825346 ,\n",
       "         0.00859567, 0.18296244, 0.17085721, 0.125141  , 0.12585099]),\n",
       "  array([0.01368324, 0.17159293, 0.15190546, 0.15291783, 0.03248043,\n",
       "         0.09625848, 0.07610084, 0.07171319, 0.18539057, 0.04795702]),\n",
       "  array([0.16492319, 0.04232776, 0.08034679, 0.17034881, 0.16732276,\n",
       "         0.12171527, 0.01423946, 0.04332011, 0.04837468, 0.14708116]),\n",
       "  array([0.11396942, 0.09335025, 0.07162517, 0.13939731, 0.07875742,\n",
       "         0.05692766, 0.08625053, 0.08035135, 0.10463126, 0.17473963]),\n",
       "  array([0.13058845, 0.21242654, 0.0674294 , 0.08030293, 0.02656508,\n",
       "         0.0501288 , 0.0265754 , 0.1896071 , 0.14757601, 0.06880028]),\n",
       "  array([0.09356846, 0.1622868 , 0.11377547, 0.18793964, 0.03688528,\n",
       "         0.03513077, 0.15802363, 0.02510297, 0.0015744 , 0.18571257]),\n",
       "  array([0.14841569, 0.11966484, 0.10774591, 0.1471357 , 0.03793105,\n",
       "         0.05042935, 0.11650197, 0.11102948, 0.15202162, 0.00912438]),\n",
       "  array([0.04517567, 0.14957937, 0.12190198, 0.15941064, 0.06558048,\n",
       "         0.07897165, 0.13247705, 0.13518766, 0.09830647, 0.01340903]),\n",
       "  array([0.16131806, 0.1459535 , 0.07409117, 0.0770535 , 0.01453107,\n",
       "         0.01823875, 0.18310013, 0.10634822, 0.07524376, 0.14412184]),\n",
       "  array([0.09078083, 0.04660647, 0.19530213, 0.03213537, 0.09111267,\n",
       "         0.1494452 , 0.17738086, 0.02343485, 0.04277646, 0.15102516]),\n",
       "  array([0.19373663, 0.08706087, 0.17532856, 0.10032433, 0.05547374,\n",
       "         0.08487855, 0.02771593, 0.09217108, 0.16362772, 0.01968258]),\n",
       "  array([0.11418461, 0.10795411, 0.1427767 , 0.02768113, 0.11879919,\n",
       "         0.06484896, 0.16368899, 0.07270845, 0.04397751, 0.14338036]),\n",
       "  array([0.14735443, 0.22695212, 0.01425849, 0.00509554, 0.10530204,\n",
       "         0.05782717, 0.19520508, 0.06425209, 0.10868321, 0.07506984]),\n",
       "  array([0.06208083, 0.03797626, 0.00128603, 0.09237291, 0.09034515,\n",
       "         0.17347265, 0.02581352, 0.18797241, 0.17925681, 0.14942342]),\n",
       "  array([0.03036646, 0.12426057, 0.13354233, 0.03678464, 0.25397471,\n",
       "         0.06260423, 0.11727896, 0.17815056, 0.03525523, 0.02778231]),\n",
       "  array([0.11620356, 0.03708043, 0.0632456 , 0.17319275, 0.05849896,\n",
       "         0.08023484, 0.15631056, 0.03783246, 0.14693951, 0.13046132]),\n",
       "  array([0.13218004, 0.15121561, 0.0981296 , 0.01728797, 0.16708495,\n",
       "         0.05797028, 0.14520982, 0.05837106, 0.10240708, 0.07014358]),\n",
       "  array([0.1165908 , 0.13876071, 0.03533286, 0.13027955, 0.00735519,\n",
       "         0.18484496, 0.00981508, 0.22566369, 0.01550805, 0.1358491 ]),\n",
       "  array([0.19390982, 0.04089427, 0.16518028, 0.09190648, 0.11358068,\n",
       "         0.0954841 , 0.08088495, 0.11015016, 0.04216776, 0.06584151]),\n",
       "  array([0.14681146, 0.00757338, 0.13026598, 0.04247406, 0.13960288,\n",
       "         0.13808371, 0.1493746 , 0.06912913, 0.01456369, 0.16212111]),\n",
       "  array([0.16770867, 0.08759348, 0.01140542, 0.09546808, 0.05289188,\n",
       "         0.07706328, 0.06206379, 0.13678384, 0.14186079, 0.16716078]),\n",
       "  array([0.0213912 , 0.04577363, 0.04785466, 0.19426032, 0.03603198,\n",
       "         0.08172034, 0.11298885, 0.18828971, 0.07539617, 0.19629315]),\n",
       "  array([0.10392966, 0.06637546, 0.12146365, 0.11463732, 0.14485837,\n",
       "         0.13850062, 0.11875244, 0.15236997, 0.0146179 , 0.02449461]),\n",
       "  array([0.14294851, 0.20853403, 0.01708255, 0.14742824, 0.05819659,\n",
       "         0.09252528, 0.02302464, 0.11481566, 0.07247018, 0.12297432]),\n",
       "  array([0.20211679, 0.06530688, 0.02490653, 0.17963803, 0.09317088,\n",
       "         0.17307843, 0.02728113, 0.0510621 , 0.10494042, 0.07849882]),\n",
       "  array([0.0276281 , 0.06081391, 0.09423579, 0.14708987, 0.13406915,\n",
       "         0.04320507, 0.12405912, 0.12441121, 0.14133704, 0.10315075]),\n",
       "  array([0.06957953, 0.07112696, 0.03129968, 0.19019135, 0.07987022,\n",
       "         0.01487921, 0.15373748, 0.08954996, 0.14381813, 0.15594748]),\n",
       "  array([0.10824678, 0.09389232, 0.18804268, 0.07057708, 0.1401655 ,\n",
       "         0.00595588, 0.02798514, 0.16523638, 0.09835616, 0.10154208]),\n",
       "  array([0.01516437, 0.14387045, 0.02520941, 0.08749072, 0.0475875 ,\n",
       "         0.16515222, 0.15726085, 0.13709057, 0.127695  , 0.09347893]),\n",
       "  array([0.02847769, 0.02806853, 0.00758499, 0.14390877, 0.20797298,\n",
       "         0.12158542, 0.14453697, 0.19100483, 0.11231925, 0.01454056]),\n",
       "  array([0.17343104, 0.17641316, 0.15235848, 0.0802916 , 0.12000705,\n",
       "         0.09843036, 0.00169688, 0.09130668, 0.08603965, 0.0200251 ]),\n",
       "  array([0.13712609, 0.02461091, 0.08647996, 0.16649699, 0.15034719,\n",
       "         0.16142531, 0.15369779, 0.00197793, 0.01854049, 0.09929734]),\n",
       "  array([0.08736488, 0.0706829 , 0.09313412, 0.13769962, 0.04736509,\n",
       "         0.06561607, 0.11416471, 0.12794738, 0.17566795, 0.08035728]),\n",
       "  array([0.08392232, 0.17017445, 0.05036813, 0.12764054, 0.10099772,\n",
       "         0.1396825 , 0.11800428, 0.17025912, 0.03361406, 0.00533689]),\n",
       "  array([0.1943835 , 0.09532944, 0.02884689, 0.04497669, 0.13884545,\n",
       "         0.03986766, 0.12229672, 0.11123089, 0.0480755 , 0.17614727]),\n",
       "  array([0.15807646, 0.05591175, 0.17729957, 0.04799392, 0.07537866,\n",
       "         0.08611266, 0.06021503, 0.13813841, 0.02514265, 0.17573089]),\n",
       "  array([0.11846357, 0.15675862, 0.1366864 , 0.13221425, 0.09544564,\n",
       "         0.12245995, 0.00422094, 0.11951163, 0.04724956, 0.06698944]),\n",
       "  array([0.15097264, 0.04402007, 0.06803507, 0.10913951, 0.10681314,\n",
       "         0.08840228, 0.07412748, 0.1570927 , 0.16349924, 0.03789788]),\n",
       "  array([0.07439555, 0.10705875, 0.14604445, 0.0882634 , 0.13158187,\n",
       "         0.00247272, 0.08671419, 0.06272976, 0.14378137, 0.15695792]),\n",
       "  array([0.05011379, 0.10315172, 0.06652896, 0.18379253, 0.20622946,\n",
       "         0.0009766 , 0.14305282, 0.15455898, 0.00683452, 0.08476063]),\n",
       "  array([0.05052909, 0.11858513, 0.14963146, 0.15645166, 0.07251175,\n",
       "         0.02902293, 0.10415145, 0.13052023, 0.11662321, 0.07197308]),\n",
       "  array([0.08774935, 0.08605637, 0.00293945, 0.11903777, 0.0917828 ,\n",
       "         0.04763474, 0.14724048, 0.12440932, 0.15594963, 0.13720011]),\n",
       "  array([0.12538298, 0.06726074, 0.10667487, 0.12389465, 0.05396241,\n",
       "         0.14492163, 0.11539287, 0.05462211, 0.1419763 , 0.06591144]),\n",
       "  array([0.01549543, 0.12339064, 0.21069238, 0.01248058, 0.14409474,\n",
       "         0.06836871, 0.12128685, 0.05462644, 0.20202899, 0.04753524]),\n",
       "  array([0.05121476, 0.08924667, 0.16079716, 0.09361778, 0.09855178,\n",
       "         0.05201952, 0.14706011, 0.17354115, 0.03202911, 0.10192197]),\n",
       "  array([0.12182468, 0.21870408, 0.09335751, 0.07454959, 0.00077987,\n",
       "         0.01447936, 0.18835725, 0.01756064, 0.09373829, 0.17664873]),\n",
       "  array([0.13324117, 0.19748335, 0.09745036, 0.00619367, 0.00297013,\n",
       "         0.09510574, 0.08729363, 0.18226132, 0.0191529 , 0.17884773]),\n",
       "  array([0.05534249, 0.13473459, 0.12331172, 0.0919725 , 0.09333597,\n",
       "         0.13553906, 0.10054388, 0.10268434, 0.11917839, 0.04335705]),\n",
       "  array([0.03365319, 0.20945429, 0.12421436, 0.06313897, 0.02313152,\n",
       "         0.1089107 , 0.11056656, 0.0183684 , 0.20484709, 0.10371492]),\n",
       "  array([0.12407889, 0.1053232 , 0.13046174, 0.06030487, 0.12995748,\n",
       "         0.06199197, 0.12424049, 0.09995422, 0.0320046 , 0.13168254]),\n",
       "  array([0.06808205, 0.04764226, 0.09927416, 0.03732619, 0.18531558,\n",
       "         0.15420414, 0.20137626, 0.05545493, 0.11111065, 0.04021378]),\n",
       "  array([0.12559716, 0.14687718, 0.14907159, 0.0728572 , 0.14706432,\n",
       "         0.0034012 , 0.0942511 , 0.12440942, 0.03804549, 0.09842534]),\n",
       "  array([0.2054381 , 0.08676466, 0.20417151, 0.19535443, 0.01189152,\n",
       "         0.10986979, 0.02048227, 0.04737192, 0.11373753, 0.00491826]),\n",
       "  array([0.04249401, 0.17635834, 0.18481298, 0.08395595, 0.130482  ,\n",
       "         0.21634172, 0.01647359, 0.00461756, 0.06772391, 0.07673995]),\n",
       "  array([0.02600678, 0.01961491, 0.13088733, 0.21524349, 0.06174458,\n",
       "         0.18992223, 0.11052051, 0.15761397, 0.02988288, 0.05856332]),\n",
       "  array([0.08251379, 0.15880385, 0.19523007, 0.11816997, 0.00745521,\n",
       "         0.06271034, 0.21411425, 0.03940246, 0.00974235, 0.1118577 ]),\n",
       "  array([0.03604542, 0.09771988, 0.16811673, 0.1827261 , 0.12869243,\n",
       "         0.11794205, 0.03292884, 0.00250571, 0.13860031, 0.09472253]),\n",
       "  array([0.04168074, 0.02236444, 0.09592468, 0.09627798, 0.20783761,\n",
       "         0.05622691, 0.034823  , 0.0581453 , 0.12074846, 0.26597087]),\n",
       "  array([0.15258224, 0.10798537, 0.11841643, 0.14317242, 0.09818769,\n",
       "         0.00806962, 0.0881284 , 0.13464973, 0.02761527, 0.12119282]),\n",
       "  array([0.11058011, 0.11893347, 0.07305606, 0.12794976, 0.02724327,\n",
       "         0.07415961, 0.12493201, 0.14059215, 0.12811792, 0.07443565]),\n",
       "  array([0.08651008, 0.0316663 , 0.10667   , 0.2219902 , 0.14041173,\n",
       "         0.05277051, 0.04818155, 0.14586721, 0.08772852, 0.07820391]),\n",
       "  array([0.00965183, 0.11109183, 0.04182044, 0.07436937, 0.10091364,\n",
       "         0.00139326, 0.19999805, 0.11992612, 0.18411541, 0.15672005]),\n",
       "  array([0.0799403 , 0.03554869, 0.06559263, 0.05697386, 0.07709287,\n",
       "         0.17464515, 0.17094319, 0.04230311, 0.12098066, 0.17597953]),\n",
       "  array([0.23674725, 0.08832104, 0.14778376, 0.19691406, 0.02949973,\n",
       "         0.02356148, 0.11438837, 0.01127296, 0.00493013, 0.14658122]),\n",
       "  array([0.08571405, 0.08610375, 0.15394949, 0.09003647, 0.1406401 ,\n",
       "         0.01928051, 0.16946513, 0.17292621, 0.05100729, 0.03087701]),\n",
       "  array([0.09339741, 0.01691231, 0.14248455, 0.08837185, 0.163848  ,\n",
       "         0.01497404, 0.11592829, 0.13183681, 0.09576339, 0.13648335]),\n",
       "  array([0.03969256, 0.18153731, 0.18827556, 0.13561006, 0.10704388,\n",
       "         0.00063749, 0.15954326, 0.00932003, 0.06735496, 0.11098488]),\n",
       "  array([0.11288451, 0.108308  , 0.10509157, 0.10921255, 0.16123033,\n",
       "         0.07092113, 0.17633177, 0.06612972, 0.00501539, 0.08487502]),\n",
       "  array([0.18144954, 0.02850988, 0.07556587, 0.05218997, 0.06821044,\n",
       "         0.06200277, 0.13374084, 0.01142554, 0.17310628, 0.21379886]),\n",
       "  array([0.12916192, 0.0306741 , 0.04794289, 0.10957709, 0.01058764,\n",
       "         0.12728652, 0.09933737, 0.15337249, 0.15611561, 0.13594439]),\n",
       "  array([0.14576737, 0.12309818, 0.10142553, 0.05411467, 0.15095072,\n",
       "         0.1396222 , 0.10434621, 0.00633699, 0.11557197, 0.05876616]),\n",
       "  array([0.00850888, 0.02365137, 0.14976468, 0.15540181, 0.1227106 ,\n",
       "         0.11171682, 0.06926624, 0.16620521, 0.13220573, 0.06056867]),\n",
       "  array([0.17050728, 0.05462527, 0.04749563, 0.13908228, 0.07580552,\n",
       "         0.12884792, 0.13071817, 0.08529746, 0.16099208, 0.00662839]),\n",
       "  array([0.11100927, 0.10135409, 0.06005912, 0.12244024, 0.15237605,\n",
       "         0.10063594, 0.04035076, 0.13931855, 0.01789517, 0.15456082]),\n",
       "  array([0.06077885, 0.21710391, 0.06495688, 0.06818841, 0.13228319,\n",
       "         0.15569687, 0.0954238 , 0.145873  , 0.03188038, 0.02781472]),\n",
       "  array([0.13160607, 0.14609923, 0.10368177, 0.11681608, 0.04402547,\n",
       "         0.04919791, 0.04989554, 0.13570534, 0.07779257, 0.14518001]),\n",
       "  array([0.03495177, 0.1261596 , 0.16840111, 0.04135567, 0.04979422,\n",
       "         0.05940893, 0.19400172, 0.07311339, 0.05746541, 0.19534817]),\n",
       "  array([0.05154827, 0.12317732, 0.09881871, 0.0376832 , 0.11131707,\n",
       "         0.05355899, 0.15218872, 0.10906442, 0.10034388, 0.16229943]),\n",
       "  array([0.04993983, 0.1048041 , 0.03599768, 0.02905465, 0.27008005,\n",
       "         0.03232624, 0.33702583, 0.10486169, 0.02504954, 0.01086039]),\n",
       "  array([0.10709374, 0.05683297, 0.07255041, 0.08748087, 0.193602  ,\n",
       "         0.19847282, 0.06531275, 0.1600501 , 0.04487351, 0.01373083]),\n",
       "  array([0.10293414, 0.08648997, 0.07091615, 0.09515917, 0.10600314,\n",
       "         0.09643136, 0.15790397, 0.03325948, 0.11067612, 0.14022648]),\n",
       "  array([0.10455981, 0.05512951, 0.08511776, 0.11111967, 0.08455501,\n",
       "         0.05601714, 0.13211471, 0.09176791, 0.18504865, 0.09456983]),\n",
       "  array([0.08358343, 0.17332768, 0.08022232, 0.1568813 , 0.00846933,\n",
       "         0.16366881, 0.17024496, 0.13974294, 0.01733597, 0.00652325]),\n",
       "  array([0.10621851, 0.02221573, 0.03257889, 0.00258757, 0.05332691,\n",
       "         0.18563333, 0.0829575 , 0.17510536, 0.17851596, 0.16086024]),\n",
       "  array([0.04648215, 0.17148691, 0.08214685, 0.08695939, 0.12216163,\n",
       "         0.13730819, 0.03972028, 0.16338088, 0.03608829, 0.11426542]),\n",
       "  array([0.09587154, 0.11095102, 0.05319951, 0.16305332, 0.02219786,\n",
       "         0.00420717, 0.22756219, 0.06759139, 0.21268258, 0.04268342]),\n",
       "  array([0.07375415, 0.12507665, 0.12881934, 0.1261733 , 0.15816229,\n",
       "         0.01737975, 0.17022129, 0.15643292, 0.01015509, 0.03382521]),\n",
       "  array([0.09886507, 0.03687384, 0.00068694, 0.22082854, 0.07603745,\n",
       "         0.0770045 , 0.11697002, 0.18135122, 0.09044893, 0.1009335 ]),\n",
       "  array([0.01534837, 0.08960704, 0.13354162, 0.14146559, 0.06949166,\n",
       "         0.10740378, 0.08688438, 0.09335563, 0.12146074, 0.1414412 ]),\n",
       "  array([0.13703934, 0.13409539, 0.05936349, 0.15974976, 0.13438473,\n",
       "         0.04984578, 0.15100085, 0.04298322, 0.12794498, 0.00359246]),\n",
       "  array([0.10046799, 0.09092229, 0.16457418, 0.1736275 , 0.03148889,\n",
       "         0.02048985, 0.00308453, 0.04262504, 0.19138566, 0.18133407]),\n",
       "  array([0.18877442, 0.04234865, 0.1362386 , 0.11079085, 0.06058516,\n",
       "         0.00547347, 0.16146469, 0.11001263, 0.11308663, 0.07122491]),\n",
       "  array([0.07663832, 0.15055843, 0.0457234 , 0.11237281, 0.08314031,\n",
       "         0.12855541, 0.10561559, 0.11266795, 0.0515101 , 0.13321767]),\n",
       "  array([0.12167125, 0.00871116, 0.21406703, 0.08681116, 0.1285163 ,\n",
       "         0.17998041, 0.0738021 , 0.08973321, 0.07021381, 0.02649356]),\n",
       "  array([0.12712139, 0.01239685, 0.1445423 , 0.12216489, 0.13881934,\n",
       "         0.13209634, 0.07316738, 0.1420439 , 0.06934948, 0.03829812]),\n",
       "  array([0.14587221, 0.14234009, 0.13726924, 0.02853201, 0.14408726,\n",
       "         0.13169765, 0.01447844, 0.07794981, 0.11549709, 0.0622762 ]),\n",
       "  array([0.01011478, 0.06370153, 0.12493571, 0.18958914, 0.0567599 ,\n",
       "         0.11653648, 0.11174598, 0.11394072, 0.17613649, 0.03653927]),\n",
       "  array([0.02156222, 0.19288959, 0.09134093, 0.01825959, 0.16001869,\n",
       "         0.02446528, 0.08849881, 0.06132142, 0.25450386, 0.0871396 ]),\n",
       "  array([0.1632879 , 0.00163759, 0.11308437, 0.0614723 , 0.12149511,\n",
       "         0.11203205, 0.08829969, 0.10046322, 0.07676882, 0.16145895]),\n",
       "  array([0.12266554, 0.07455556, 0.10039876, 0.06061615, 0.03112025,\n",
       "         0.08095831, 0.1640149 , 0.15927022, 0.08821929, 0.11818103]),\n",
       "  array([0.05901084, 0.10580985, 0.18356903, 0.12919527, 0.0276584 ,\n",
       "         0.045611  , 0.05625142, 0.14172414, 0.06898609, 0.18218395]),\n",
       "  array([0.06459642, 0.06546269, 0.12178548, 0.09732777, 0.02506556,\n",
       "         0.17983805, 0.08293712, 0.19854625, 0.14232054, 0.02212013]),\n",
       "  array([0.13683543, 0.07897194, 0.12900701, 0.1556188 , 0.11037899,\n",
       "         0.00985706, 0.13850016, 0.04791648, 0.08136659, 0.11154754]),\n",
       "  array([0.21139094, 0.06488015, 0.10687965, 0.02460333, 0.18317621,\n",
       "         0.0389195 , 0.14337045, 0.02239383, 0.18900955, 0.01537639]),\n",
       "  array([0.0599042 , 0.07507285, 0.1262731 , 0.01090054, 0.02196278,\n",
       "         0.05290426, 0.30913329, 0.09313619, 0.13925354, 0.11145926]),\n",
       "  array([0.09492711, 0.06560899, 0.18086596, 0.02378247, 0.13103552,\n",
       "         0.18297817, 0.06372784, 0.03466327, 0.09287916, 0.12953151]),\n",
       "  array([0.11454555, 0.12437372, 0.03518016, 0.1270133 , 0.19011151,\n",
       "         0.00284706, 0.10976253, 0.17789493, 0.11585163, 0.00241962]),\n",
       "  array([0.06799474, 0.13429504, 0.02915621, 0.19984698, 0.04195052,\n",
       "         0.26661845, 0.03938734, 0.09507445, 0.11950678, 0.00616948]),\n",
       "  array([0.00863368, 0.0392664 , 0.11578142, 0.07600629, 0.16752114,\n",
       "         0.14868787, 0.01438122, 0.16039309, 0.14846002, 0.12086887]),\n",
       "  array([0.12272361, 0.08937128, 0.15185902, 0.0829189 , 0.14155156,\n",
       "         0.09867655, 0.07958122, 0.1473041 , 0.02622253, 0.05979122]),\n",
       "  array([0.09373568, 0.00389361, 0.06086584, 0.02719036, 0.14147225,\n",
       "         0.15027752, 0.11453871, 0.23651157, 0.08121734, 0.09029712]),\n",
       "  array([0.0420642 , 0.10165186, 0.16163462, 0.13717874, 0.09084084,\n",
       "         0.03068192, 0.10129751, 0.12254684, 0.16250558, 0.04959789]),\n",
       "  array([0.0622945 , 0.11363091, 0.09919092, 0.06962596, 0.13146257,\n",
       "         0.12781016, 0.13601005, 0.06112793, 0.09075553, 0.10809147]),\n",
       "  array([0.0237365 , 0.17687871, 0.06459105, 0.03026042, 0.17429519,\n",
       "         0.05065639, 0.15690512, 0.18305104, 0.04059722, 0.09902838]),\n",
       "  array([0.05394527, 0.11629939, 0.11183903, 0.11311773, 0.17444701,\n",
       "         0.20507388, 0.08015552, 0.05404937, 0.0228132 , 0.06825961]),\n",
       "  array([0.02522221, 0.19233125, 0.15763625, 0.01230117, 0.12795385,\n",
       "         0.08837258, 0.08252949, 0.13778762, 0.00052357, 0.17534201]),\n",
       "  array([0.1491031 , 0.1263984 , 0.05047792, 0.05704634, 0.06059461,\n",
       "         0.14803637, 0.18260703, 0.03950012, 0.15077057, 0.03546553]),\n",
       "  array([1.15578101e-04, 1.41387342e-01, 1.87440178e-01, 1.37240479e-01,\n",
       "         7.15158103e-02, 8.14856437e-02, 1.02989346e-01, 8.02709980e-02,\n",
       "         1.27952365e-02, 1.84759388e-01]),\n",
       "  array([0.10801972, 0.10551168, 0.13714277, 0.02575561, 0.15219046,\n",
       "         0.08216346, 0.05085631, 0.11412496, 0.16119613, 0.0630389 ]),\n",
       "  array([0.1161073 , 0.13530634, 0.09257811, 0.03496253, 0.14014846,\n",
       "         0.16588613, 0.05531491, 0.05258335, 0.14311852, 0.06399434]),\n",
       "  array([0.1179833 , 0.0041756 , 0.16897057, 0.07643319, 0.10147782,\n",
       "         0.21207867, 0.06185526, 0.19518897, 0.00713266, 0.05470396]),\n",
       "  array([0.18331956, 0.02881192, 0.01273022, 0.11808561, 0.13216952,\n",
       "         0.15471657, 0.15648053, 0.00228819, 0.16238729, 0.04901059]),\n",
       "  array([0.15420966, 0.12590209, 0.02948167, 0.11988018, 0.12117804,\n",
       "         0.09461802, 0.02061617, 0.03217359, 0.16622529, 0.13571528]),\n",
       "  array([0.14289031, 0.02935114, 0.12601677, 0.00804745, 0.18050387,\n",
       "         0.0391487 , 0.10871346, 0.18390332, 0.15657837, 0.0248466 ]),\n",
       "  array([0.08836708, 0.175958  , 0.07280662, 0.05700957, 0.07314465,\n",
       "         0.09862694, 0.08095553, 0.14094617, 0.16269253, 0.0494929 ]),\n",
       "  array([0.12876272, 0.14915889, 0.13683055, 0.15130099, 0.06510833,\n",
       "         0.08678347, 0.05473343, 0.03170986, 0.11210072, 0.08351104]),\n",
       "  array([0.13417432, 0.05366217, 0.02245392, 0.17887693, 0.05229336,\n",
       "         0.18626705, 0.10571926, 0.15621986, 0.03334925, 0.07698388]),\n",
       "  array([0.06637421, 0.12948608, 0.12751535, 0.1291945 , 0.1242395 ,\n",
       "         0.11040441, 0.01757963, 0.12128395, 0.09982143, 0.07410095]),\n",
       "  array([0.05341265, 0.07513588, 0.13255418, 0.10383194, 0.02939661,\n",
       "         0.1034629 , 0.15071496, 0.16416933, 0.13534411, 0.05197745]),\n",
       "  array([0.02608391, 0.15123266, 0.09890597, 0.01845234, 0.18454264,\n",
       "         0.0815355 , 0.13069648, 0.22011103, 0.02845659, 0.05998286]),\n",
       "  array([0.14231002, 0.20225598, 0.01065498, 0.00210232, 0.05988739,\n",
       "         0.14117111, 0.0803641 , 0.16246478, 0.19384819, 0.00494112]),\n",
       "  array([0.14864363, 0.04043012, 0.17438769, 0.00797449, 0.13566859,\n",
       "         0.15866951, 0.04740846, 0.09680135, 0.06472495, 0.12529122]),\n",
       "  array([0.09323701, 0.11759677, 0.15073615, 0.05557097, 0.09776446,\n",
       "         0.10718398, 0.10185976, 0.07846739, 0.00348047, 0.19410305]),\n",
       "  array([0.19073904, 0.06048909, 0.15621626, 0.18438418, 0.04437672,\n",
       "         0.10380831, 0.05293957, 0.16146048, 0.01898798, 0.02659836]),\n",
       "  array([0.02217174, 0.20245388, 0.0484718 , 0.13296467, 0.08436806,\n",
       "         0.1287228 , 0.19939053, 0.039993  , 0.03056817, 0.11089537]),\n",
       "  array([0.08764403, 0.12032448, 0.00781814, 0.15274612, 0.05138692,\n",
       "         0.09706469, 0.1174013 , 0.12659878, 0.14073833, 0.0982772 ]),\n",
       "  array([0.12564364, 0.08520566, 0.07716666, 0.12635755, 0.12725708,\n",
       "         0.11632149, 0.05671811, 0.07754292, 0.08443096, 0.12335593]),\n",
       "  array([0.13235065, 0.00824577, 0.04798869, 0.21072457, 0.128974  ,\n",
       "         0.12781171, 0.03688101, 0.10821879, 0.14005976, 0.05874506]),\n",
       "  array([0.03468181, 0.04388688, 0.17775538, 0.19194877, 0.16687055,\n",
       "         0.20010437, 0.03516757, 0.01628948, 0.00262424, 0.13067096]),\n",
       "  array([0.15914177, 0.08087225, 0.01010904, 0.09655058, 0.01155671,\n",
       "         0.05158379, 0.15444222, 0.09564332, 0.17792712, 0.16217319]),\n",
       "  array([0.18307884, 0.03001588, 0.07560516, 0.10375485, 0.159269  ,\n",
       "         0.14736812, 0.09011617, 0.05045237, 0.06452695, 0.09581266]),\n",
       "  array([0.03602439, 0.04247098, 0.19616775, 0.1856957 , 0.10177213,\n",
       "         0.10023964, 0.04116555, 0.08719746, 0.00951715, 0.19974923]),\n",
       "  array([0.2208253 , 0.21770703, 0.05777374, 0.05873186, 0.10253492,\n",
       "         0.01637186, 0.01631616, 0.14131286, 0.02305299, 0.14537328]),\n",
       "  array([0.1459652 , 0.06306926, 0.02608794, 0.11085452, 0.17904779,\n",
       "         0.02586174, 0.09113968, 0.14535449, 0.04402133, 0.16859805]),\n",
       "  array([0.15622328, 0.13857514, 0.07027861, 0.00321987, 0.05173486,\n",
       "         0.13772349, 0.14474733, 0.05340423, 0.13871272, 0.10538049]),\n",
       "  array([0.1414684 , 0.07895276, 0.03916834, 0.13445943, 0.02512461,\n",
       "         0.14945133, 0.10496049, 0.14037237, 0.08833183, 0.09771045]),\n",
       "  array([0.09770041, 0.10914065, 0.12144915, 0.05859347, 0.08712462,\n",
       "         0.100575  , 0.11562381, 0.09615702, 0.11353041, 0.10010545]),\n",
       "  array([0.10107416, 0.05688174, 0.1207746 , 0.16609399, 0.00691533,\n",
       "         0.07558679, 0.00349902, 0.20947283, 0.20669533, 0.0530062 ]),\n",
       "  array([0.10663276, 0.01808982, 0.09606673, 0.16186012, 0.11099381,\n",
       "         0.16296551, 0.15008196, 0.00839883, 0.09866855, 0.0862419 ]),\n",
       "  array([0.12773198, 0.10559097, 0.21877618, 0.10768954, 0.11147203,\n",
       "         0.00602314, 0.07105187, 0.16103984, 0.05811185, 0.03251261]),\n",
       "  array([0.01166272, 0.11647724, 0.14213913, 0.03062954, 0.00320535,\n",
       "         0.06547547, 0.02858611, 0.17604732, 0.18887723, 0.2368999 ]),\n",
       "  array([0.11728187, 0.09594821, 0.18958827, 0.15888874, 0.10690514,\n",
       "         0.08446076, 0.06383341, 0.04078965, 0.00739785, 0.13490609]),\n",
       "  array([0.047846  , 0.18745664, 0.12689114, 0.18273366, 0.03833453,\n",
       "         0.07646136, 0.00854922, 0.06885618, 0.17573066, 0.0871406 ]),\n",
       "  array([0.15953727, 0.02645087, 0.08905573, 0.18626847, 0.12305831,\n",
       "         0.13836393, 0.0243951 , 0.13934401, 0.01205529, 0.10147102]),\n",
       "  array([1.08378927e-01, 1.71254910e-04, 4.46116328e-02, 1.12812476e-01,\n",
       "         1.79308166e-01, 2.00256061e-01, 7.59832396e-02, 7.91096508e-02,\n",
       "         8.47916273e-04, 1.98520676e-01]),\n",
       "  array([0.19447811, 0.11930081, 0.02719005, 0.0505507 , 0.02815045,\n",
       "         0.09698392, 0.20127346, 0.02998251, 0.1313427 , 0.12074729]),\n",
       "  array([0.10001153, 0.02474704, 0.17834408, 0.01704567, 0.11165758,\n",
       "         0.12554982, 0.16833888, 0.1734775 , 0.0650859 , 0.035742  ]),\n",
       "  array([0.13505338, 0.15620649, 0.13092095, 0.11602393, 0.09672489,\n",
       "         0.08663243, 0.11168114, 0.01136227, 0.01527753, 0.14011699]),\n",
       "  array([0.14350658, 0.0013917 , 0.0723768 , 0.14377232, 0.14604853,\n",
       "         0.13187513, 0.14272828, 0.042111  , 0.04394924, 0.13224044]),\n",
       "  array([0.13828094, 0.00543547, 0.17301033, 0.13527801, 0.16961616,\n",
       "         0.16888922, 0.01630106, 0.09704923, 0.01509181, 0.08104777]),\n",
       "  array([0.07488157, 0.05983117, 0.06671583, 0.10169907, 0.18665851,\n",
       "         0.13793177, 0.18584685, 0.05291584, 0.09096316, 0.04255622]),\n",
       "  array([0.15737901, 0.1738663 , 0.08853964, 0.04143464, 0.13983386,\n",
       "         0.08629099, 0.07229626, 0.06097791, 0.05442956, 0.12495182]),\n",
       "  array([0.0202538 , 0.07369182, 0.16259267, 0.01405318, 0.15893441,\n",
       "         0.15697379, 0.03239319, 0.14872167, 0.08921338, 0.14317209]),\n",
       "  array([0.13018011, 0.18634843, 0.06074337, 0.14631509, 0.0809022 ,\n",
       "         0.07337907, 0.13215116, 0.03607614, 0.0035203 , 0.15038413]),\n",
       "  array([0.06034124, 0.03360994, 0.12091188, 0.17604411, 0.0742065 ,\n",
       "         0.08579027, 0.14022654, 0.02288116, 0.16309343, 0.12289493]),\n",
       "  array([0.15245375, 0.10196487, 0.04045722, 0.14601677, 0.12936599,\n",
       "         0.06895325, 0.02924358, 0.03813019, 0.14847792, 0.14493646]),\n",
       "  array([0.09352779, 0.22195248, 0.10405518, 0.018517  , 0.03421876,\n",
       "         0.09297103, 0.22393759, 0.08539041, 0.02823496, 0.09719481]),\n",
       "  array([0.14477263, 0.03582826, 0.06038534, 0.17002365, 0.00057725,\n",
       "         0.03379236, 0.1033894 , 0.22966738, 0.20193214, 0.01963157]),\n",
       "  array([0.07291865, 0.01819302, 0.08953054, 0.18618414, 0.08769846,\n",
       "         0.10205603, 0.14301294, 0.11256453, 0.16543156, 0.02241013]),\n",
       "  array([0.13510973, 0.16842223, 0.12555057, 0.01305836, 0.14901132,\n",
       "         0.1751768 , 0.03025026, 0.0411575 , 0.1522965 , 0.00996673]),\n",
       "  array([0.10236588, 0.13275521, 0.14608024, 0.13449185, 0.13682481,\n",
       "         0.13623872, 0.05942351, 0.03683662, 0.05525052, 0.05973262]),\n",
       "  array([0.13504937, 0.07887972, 0.0845717 , 0.08853692, 0.0263947 ,\n",
       "         0.14881434, 0.09851699, 0.06700062, 0.11266828, 0.15956735]),\n",
       "  array([0.01162461, 0.14824912, 0.07292258, 0.0367359 , 0.02780971,\n",
       "         0.16584111, 0.16235502, 0.07244612, 0.05233047, 0.24968535]),\n",
       "  array([0.11661743, 0.15247408, 0.12575816, 0.06728128, 0.15258057,\n",
       "         0.00461569, 0.00685664, 0.15251277, 0.10702922, 0.11427415]),\n",
       "  array([0.11685021, 0.16035741, 0.16424453, 0.03781719, 0.00942845,\n",
       "         0.04218194, 0.1686365 , 0.11240748, 0.00401679, 0.18405951]),\n",
       "  array([0.2015817 , 0.15617653, 0.01042747, 0.20414249, 0.17751907,\n",
       "         0.06371603, 0.01370246, 0.01768486, 0.01644877, 0.13860061]),\n",
       "  array([0.18423587, 0.16191632, 0.0185863 , 0.0606071 , 0.16435912,\n",
       "         0.02105783, 0.19703759, 0.01539672, 0.1408948 , 0.03590833]),\n",
       "  array([0.12287888, 0.10003127, 0.14967584, 0.21193061, 0.07211845,\n",
       "         0.03767642, 0.10529627, 0.03942162, 0.00946632, 0.15150431]),\n",
       "  array([0.05405509, 0.20394649, 0.12337717, 0.10408631, 0.08623   ,\n",
       "         0.1556227 , 0.03726699, 0.20998626, 0.00962368, 0.0158053 ]),\n",
       "  array([0.15900119, 0.10706923, 0.05002033, 0.04736287, 0.14308535,\n",
       "         0.17305086, 0.10676874, 0.09523264, 0.11680724, 0.00160156]),\n",
       "  array([0.08840156, 0.08894526, 0.11631   , 0.09347818, 0.11352377,\n",
       "         0.0860874 , 0.12348984, 0.04490836, 0.11680333, 0.12805229]),\n",
       "  array([0.12363269, 0.08191484, 0.14684103, 0.16749795, 0.08006524,\n",
       "         0.04719131, 0.16259532, 0.14127714, 0.01743746, 0.03154704]),\n",
       "  array([0.11312263, 0.00141364, 0.04174018, 0.22643013, 0.05181017,\n",
       "         0.2247601 , 0.11344403, 0.03522206, 0.07645226, 0.11560481]),\n",
       "  array([0.04587856, 0.11637307, 0.05399619, 0.10371494, 0.11697311,\n",
       "         0.11870587, 0.13068681, 0.10721459, 0.15273044, 0.05372641]),\n",
       "  array([0.09416225, 0.00266691, 0.03645689, 0.08757796, 0.14643211,\n",
       "         0.08057353, 0.04553762, 0.15279362, 0.15992297, 0.19387613]),\n",
       "  array([0.09260338, 0.15264649, 0.10309842, 0.14524824, 0.05013178,\n",
       "         0.1446449 , 0.07232131, 0.11919625, 0.05410881, 0.06600041]),\n",
       "  array([0.12676065, 0.05922032, 0.15650944, 0.08113405, 0.00988776,\n",
       "         0.10977774, 0.11174758, 0.08609515, 0.1326774 , 0.12618991]),\n",
       "  array([0.10741382, 0.18627864, 0.15833269, 0.02591717, 0.058722  ,\n",
       "         0.13065424, 0.07545873, 0.10016718, 0.00907639, 0.14797914]),\n",
       "  array([0.17855224, 0.06791461, 0.10043808, 0.02654014, 0.1370358 ,\n",
       "         0.15746756, 0.08503085, 0.01400227, 0.19089736, 0.0421211 ]),\n",
       "  array([0.03845881, 0.05025936, 0.04328539, 0.16540428, 0.18522883,\n",
       "         0.02858249, 0.14316983, 0.11356137, 0.05831691, 0.17373272]),\n",
       "  array([0.14018794, 0.16897556, 0.10473046, 0.17938312, 0.08668189,\n",
       "         0.02882024, 0.11058033, 0.15663464, 0.02370195, 0.00030387]),\n",
       "  array([0.15612395, 0.12945173, 0.17318554, 0.01871984, 0.09656001,\n",
       "         0.14127426, 0.13226387, 0.02395015, 0.04616088, 0.08230977]),\n",
       "  array([0.16531758, 0.15523936, 0.11570711, 0.05635835, 0.11684786,\n",
       "         0.08519155, 0.099507  , 0.04662999, 0.02873594, 0.13046526]),\n",
       "  array([0.12829064, 0.0043108 , 0.04474489, 0.06418339, 0.13936809,\n",
       "         0.14330443, 0.08964038, 0.15129586, 0.14282464, 0.09203686]),\n",
       "  array([0.01937771, 0.14342492, 0.15146248, 0.07350843, 0.02897755,\n",
       "         0.18179148, 0.09191529, 0.1438146 , 0.03685869, 0.12886886]),\n",
       "  array([0.04886968, 0.10547043, 0.16125507, 0.11464204, 0.11478622,\n",
       "         0.11907641, 0.04791965, 0.1386113 , 0.1306778 , 0.01869139]),\n",
       "  array([0.03464328, 0.06729062, 0.08614738, 0.00167925, 0.12921493,\n",
       "         0.18701944, 0.04662955, 0.18946614, 0.0737661 , 0.18414331]),\n",
       "  array([0.06122446, 0.11279275, 0.11075013, 0.14747257, 0.15589016,\n",
       "         0.00758412, 0.1483006 , 0.15924985, 0.00698056, 0.08975479]),\n",
       "  array([0.13064595, 0.02047738, 0.04329651, 0.09349781, 0.15064914,\n",
       "         0.05041171, 0.09976874, 0.19059628, 0.0685152 , 0.15214128]),\n",
       "  array([0.03806161, 0.03546964, 0.06762397, 0.1898911 , 0.03508762,\n",
       "         0.04974202, 0.13457699, 0.02621549, 0.15397778, 0.26935378]),\n",
       "  array([0.13888834, 0.06780049, 0.12496626, 0.11866984, 0.04702621,\n",
       "         0.14388912, 0.01091162, 0.09016938, 0.1352103 , 0.12246843]),\n",
       "  array([0.10891134, 0.30842952, 0.17984363, 0.02104783, 0.14271381,\n",
       "         0.0426614 , 0.0584587 , 0.06950182, 0.05769331, 0.01073864]),\n",
       "  array([0.12798765, 0.02893031, 0.00361578, 0.12060414, 0.19814055,\n",
       "         0.05443067, 0.02171206, 0.20451357, 0.20367665, 0.03638862]),\n",
       "  array([0.08398563, 0.13554166, 0.12745674, 0.1617288 , 0.12537805,\n",
       "         0.080054  , 0.08651295, 0.05631064, 0.07989457, 0.06313695]),\n",
       "  array([0.15544037, 0.05852451, 0.1820316 , 0.13197902, 0.06497113,\n",
       "         0.00751937, 0.01537614, 0.26202889, 0.00136404, 0.12076492]),\n",
       "  array([0.16388249, 0.10962941, 0.08921277, 0.19762816, 0.09904116,\n",
       "         0.00169857, 0.02635703, 0.10585202, 0.00946788, 0.19723052]),\n",
       "  array([0.12935327, 0.04527665, 0.10271921, 0.05112084, 0.12352909,\n",
       "         0.17158227, 0.02560684, 0.13206576, 0.18797981, 0.03076626]),\n",
       "  array([0.20326279, 0.03315622, 0.03120432, 0.00477106, 0.11172341,\n",
       "         0.11112567, 0.21100522, 0.25715178, 0.00649118, 0.03010835]),\n",
       "  array([0.02794435, 0.03865522, 0.0607924 , 0.15106391, 0.18527579,\n",
       "         0.18416024, 0.02981256, 0.16842777, 0.04257573, 0.11129203]),\n",
       "  array([0.00364659, 0.13801612, 0.17156156, 0.06080835, 0.00097164,\n",
       "         0.11262197, 0.23574086, 0.0034082 , 0.12567416, 0.14755054]),\n",
       "  array([0.03275105, 0.0690667 , 0.07759365, 0.10491784, 0.12635983,\n",
       "         0.09083526, 0.0317282 , 0.09000018, 0.17871196, 0.19803534]),\n",
       "  array([0.14352771, 0.14439829, 0.19748059, 0.06419   , 0.03264014,\n",
       "         0.15412952, 0.08517625, 0.02519708, 0.03296531, 0.12029511]),\n",
       "  array([0.09953052, 0.07672889, 0.0980376 , 0.11846889, 0.13144238,\n",
       "         0.08404155, 0.12357287, 0.22391317, 0.01517958, 0.02908455]),\n",
       "  array([0.19407126, 0.15443969, 0.09071091, 0.09552737, 0.02023503,\n",
       "         0.04511788, 0.13194816, 0.10940461, 0.05330681, 0.10523827]),\n",
       "  array([0.10099495, 0.03232284, 0.04562716, 0.08691152, 0.0254451 ,\n",
       "         0.09349332, 0.17261634, 0.17997816, 0.16387965, 0.09873096]),\n",
       "  array([0.22798608, 0.03319091, 0.16956071, 0.01536858, 0.04010237,\n",
       "         0.21428987, 0.04985156, 0.17973454, 0.04813309, 0.0217823 ]),\n",
       "  array([0.07492063, 0.13567917, 0.01582291, 0.09815478, 0.01608819,\n",
       "         0.13007238, 0.18391068, 0.11196065, 0.11600705, 0.11738355]),\n",
       "  array([0.04380985, 0.06886141, 0.12219304, 0.20118072, 0.12837655,\n",
       "         0.07362739, 0.0654297 , 0.15150563, 0.04098822, 0.10402748]),\n",
       "  array([0.05191799, 0.039695  , 0.12367862, 0.10800586, 0.15143015,\n",
       "         0.16639884, 0.07697462, 0.06602351, 0.11465103, 0.10122437]),\n",
       "  array([0.08845113, 0.07069014, 0.11055682, 0.03575732, 0.14453797,\n",
       "         0.15333118, 0.08913166, 0.17078488, 0.13081937, 0.00593952]),\n",
       "  array([0.09484119, 0.09836134, 0.06931023, 0.10404688, 0.05466541,\n",
       "         0.03214973, 0.18758478, 0.04079029, 0.14259387, 0.1756563 ]),\n",
       "  array([0.00382202, 0.1016917 , 0.09387056, 0.09416034, 0.11442067,\n",
       "         0.16489607, 0.11603035, 0.06308626, 0.10431967, 0.14370237]),\n",
       "  array([0.01809586, 0.0520515 , 0.16760709, 0.06579714, 0.15500783,\n",
       "         0.16393902, 0.10927509, 0.1636276 , 0.04863081, 0.05596806]),\n",
       "  array([0.16861273, 0.01861422, 0.03417883, 0.09946346, 0.12858402,\n",
       "         0.10903005, 0.21945269, 0.0131084 , 0.06847479, 0.14048079]),\n",
       "  array([0.09914374, 0.05169807, 0.05281954, 0.18809992, 0.07965591,\n",
       "         0.04926073, 0.01040942, 0.16648365, 0.19103058, 0.11139844]),\n",
       "  array([1.16493138e-01, 1.03857369e-01, 7.95191472e-02, 1.80255325e-01,\n",
       "         1.09184908e-01, 1.58976593e-01, 2.25542208e-05, 5.74256426e-02,\n",
       "         1.11885962e-01, 8.23793605e-02]),\n",
       "  array([0.00998477, 0.11687175, 0.05912491, 0.12444757, 0.04777379,\n",
       "         0.12873524, 0.08655001, 0.14275421, 0.14348838, 0.14026937]),\n",
       "  array([0.00665279, 0.07092378, 0.09135317, 0.20213462, 0.03130072,\n",
       "         0.06466653, 0.10360611, 0.21185885, 0.2078217 , 0.00968175]),\n",
       "  array([0.09974405, 0.12533795, 0.1242544 , 0.11922684, 0.08505106,\n",
       "         0.02696053, 0.09041294, 0.13686681, 0.14241691, 0.04972851]),\n",
       "  array([0.01425157, 0.05682899, 0.22491509, 0.14242309, 0.19941938,\n",
       "         0.05302793, 0.18572663, 0.06991539, 0.02505212, 0.02843981]),\n",
       "  array([0.11539434, 0.11064447, 0.14900968, 0.08183263, 0.10712404,\n",
       "         0.07908962, 0.18944865, 0.05012817, 0.04918139, 0.06814701]),\n",
       "  array([0.04555992, 0.10221887, 0.11624377, 0.13960111, 0.08650171,\n",
       "         0.04834531, 0.13851793, 0.08349897, 0.13811156, 0.10140085]),\n",
       "  array([0.03414144, 0.12079158, 0.15020099, 0.12778631, 0.01403711,\n",
       "         0.09841162, 0.11981286, 0.17421813, 0.01279628, 0.1478037 ]),\n",
       "  array([0.19186568, 0.00396764, 0.04215461, 0.14419551, 0.1019215 ,\n",
       "         0.12970333, 0.10474823, 0.20362569, 0.02909706, 0.04872075]),\n",
       "  array([0.13939782, 0.13857438, 0.03005681, 0.18848322, 0.05885261,\n",
       "         0.09260861, 0.02049484, 0.02287164, 0.18380494, 0.12485513]),\n",
       "  array([0.1016745 , 0.05925067, 0.10016767, 0.02055436, 0.16250056,\n",
       "         0.16282023, 0.16486781, 0.04252852, 0.170924  , 0.01471168]),\n",
       "  array([0.09630909, 0.02016122, 0.05474229, 0.04127798, 0.1155179 ,\n",
       "         0.03565306, 0.12078326, 0.16870465, 0.15589721, 0.19095334]),\n",
       "  array([0.00491663, 0.14673015, 0.14877914, 0.10876758, 0.0903517 ,\n",
       "         0.08930846, 0.13667689, 0.06267602, 0.11087098, 0.10092245]),\n",
       "  array([0.14777043, 0.08608197, 0.07478044, 0.13762432, 0.04808981,\n",
       "         0.05550403, 0.13063297, 0.01924477, 0.15325958, 0.14701169]),\n",
       "  array([0.16946287, 0.02184441, 0.00207841, 0.15020039, 0.04992258,\n",
       "         0.16420739, 0.1849424 , 0.06566959, 0.04285471, 0.14881726]),\n",
       "  array([0.14800884, 0.04643539, 0.0903156 , 0.19102281, 0.00111776,\n",
       "         0.06784519, 0.05974311, 0.18166266, 0.00175157, 0.21209707]),\n",
       "  array([0.0564967 , 0.1128896 , 0.15748557, 0.04121118, 0.09541867,\n",
       "         0.14578404, 0.13949796, 0.12532003, 0.04582252, 0.08007374]),\n",
       "  array([0.17983172, 0.13938757, 0.04128993, 0.01837062, 0.05941645,\n",
       "         0.15580172, 0.06142173, 0.16712757, 0.07263083, 0.10472185]),\n",
       "  array([0.15873768, 0.14010682, 0.07421896, 0.11998731, 0.01509164,\n",
       "         0.07115873, 0.09889084, 0.01767162, 0.15350908, 0.15062732]),\n",
       "  array([0.12180405, 0.06498136, 0.13816957, 0.02161921, 0.01896932,\n",
       "         0.17135832, 0.12705565, 0.15660237, 0.15316654, 0.0262736 ]),\n",
       "  array([0.18104297, 0.01641654, 0.0452407 , 0.09351258, 0.10539643,\n",
       "         0.17358542, 0.10199148, 0.10225984, 0.01836176, 0.16219228]),\n",
       "  array([0.0315237 , 0.10441021, 0.14307451, 0.1896389 , 0.08264221,\n",
       "         0.17802284, 0.07234302, 0.01159972, 0.11822329, 0.0685216 ]),\n",
       "  array([0.14311547, 0.1007808 , 0.03310651, 0.14301612, 0.0922701 ,\n",
       "         0.14154809, 0.02366197, 0.04103029, 0.18244518, 0.09902547]),\n",
       "  array([0.12916167, 0.14561296, 0.113212  , 0.03261147, 0.14084609,\n",
       "         0.04993286, 0.06805211, 0.10080761, 0.18324062, 0.03652261]),\n",
       "  array([0.11521164, 0.109309  , 0.03386815, 0.11350511, 0.1014803 ,\n",
       "         0.10659954, 0.05119787, 0.11996552, 0.12206232, 0.12680055]),\n",
       "  array([0.07623976, 0.06983317, 0.04336677, 0.03770344, 0.13095731,\n",
       "         0.14658189, 0.16452815, 0.13057902, 0.11771262, 0.08249787]),\n",
       "  array([0.24763755, 0.03708254, 0.04929679, 0.10599787, 0.15468374,\n",
       "         0.01394261, 0.12113005, 0.11824296, 0.09068175, 0.06130414]),\n",
       "  array([0.11120586, 0.02907114, 0.18503716, 0.10192853, 0.11707219,\n",
       "         0.01086476, 0.17281657, 0.08071719, 0.1519406 , 0.03934598]),\n",
       "  array([0.02853308, 0.05885502, 0.17332747, 0.15492529, 0.11791338,\n",
       "         0.10266701, 0.12939175, 0.02523641, 0.06776486, 0.14138571]),\n",
       "  array([0.12658013, 0.09678938, 0.1639598 , 0.17719098, 0.00191084,\n",
       "         0.00718872, 0.09009748, 0.0929195 , 0.10795048, 0.13541269]),\n",
       "  array([0.09986729, 0.01546733, 0.06269545, 0.09567653, 0.16753366,\n",
       "         0.17701525, 0.09404317, 0.09568855, 0.01405429, 0.17795849]),\n",
       "  array([0.03337656, 0.06894622, 0.04771622, 0.04910814, 0.05950794,\n",
       "         0.13480451, 0.17888486, 0.09543284, 0.14473858, 0.18748412]),\n",
       "  array([0.11448531, 0.13469621, 0.11704821, 0.11812141, 0.11242859,\n",
       "         0.02323529, 0.09472726, 0.24592454, 0.02494742, 0.01438575]),\n",
       "  array([0.15788642, 0.10479373, 0.05677338, 0.04409347, 0.03734812,\n",
       "         0.01064631, 0.11533932, 0.0983438 , 0.17044798, 0.20432748]),\n",
       "  array([0.06307317, 0.10269865, 0.01867795, 0.13606617, 0.0251518 ,\n",
       "         0.15399448, 0.14043005, 0.14038336, 0.0802453 , 0.13927906]),\n",
       "  array([0.18524254, 0.00771671, 0.0721622 , 0.00909504, 0.14212011,\n",
       "         0.07855792, 0.08931277, 0.19651674, 0.16251651, 0.05675946]),\n",
       "  array([0.015463  , 0.07422689, 0.11369962, 0.13699046, 0.13268049,\n",
       "         0.15714142, 0.03672929, 0.04051276, 0.1619273 , 0.13062876]),\n",
       "  array([0.12898543, 0.08135886, 0.12061021, 0.16851766, 0.04669116,\n",
       "         0.00818104, 0.01906755, 0.14760979, 0.1490928 , 0.1298855 ]),\n",
       "  array([0.10512678, 0.12850661, 0.08633095, 0.14463554, 0.07686239,\n",
       "         0.1831378 , 0.01446169, 0.11797549, 0.07782396, 0.0651388 ]),\n",
       "  array([0.16831816, 0.04601537, 0.09662578, 0.18880935, 0.03812664,\n",
       "         0.0660375 , 0.00107034, 0.20125604, 0.08944459, 0.10429624]),\n",
       "  array([0.17226188, 0.05152521, 0.1210549 , 0.01710035, 0.06246722,\n",
       "         0.1500815 , 0.16381277, 0.13517578, 0.09021916, 0.03630124]),\n",
       "  array([0.15760914, 0.13575706, 0.08166861, 0.00546116, 0.15167494,\n",
       "         0.00936568, 0.14180039, 0.09356724, 0.14771538, 0.0753804 ]),\n",
       "  array([0.19639422, 0.18598105, 0.0882854 , 0.0425454 , 0.12784836,\n",
       "         0.03913031, 0.13325311, 0.07912528, 0.0685096 , 0.03892728]),\n",
       "  array([0.1609014 , 0.05613347, 0.11286354, 0.13454327, 0.06277828,\n",
       "         0.06694159, 0.10303393, 0.15379554, 0.01976423, 0.12924476]),\n",
       "  array([0.15015507, 0.12620058, 0.05678862, 0.1194123 , 0.01325304,\n",
       "         0.15166075, 0.13365831, 0.1494943 , 0.03978247, 0.05959455]),\n",
       "  array([0.1267101 , 0.05163153, 0.18037021, 0.02172906, 0.2069212 ,\n",
       "         0.08903496, 0.01115859, 0.20274694, 0.07354324, 0.03615416]),\n",
       "  array([0.26068573, 0.0509851 , 0.07218255, 0.00600435, 0.21116434,\n",
       "         0.07942199, 0.07120772, 0.00644651, 0.24129179, 0.00060993]),\n",
       "  array([0.11830546, 0.10376398, 0.08490299, 0.14802815, 0.1524197 ,\n",
       "         0.01454458, 0.02736987, 0.10213367, 0.14392306, 0.10460853]),\n",
       "  array([0.14617616, 0.06366848, 0.09192473, 0.04668015, 0.02866831,\n",
       "         0.05146123, 0.17120594, 0.0883078 , 0.14132897, 0.17057824]),\n",
       "  array([0.13365123, 0.02150587, 0.07959247, 0.06511466, 0.13536044,\n",
       "         0.11981735, 0.0494354 , 0.13572218, 0.12870123, 0.13109917]),\n",
       "  array([0.07762518, 0.13598358, 0.18072042, 0.09645933, 0.13416453,\n",
       "         0.11584963, 0.14624099, 0.09012934, 0.00568454, 0.01714246]),\n",
       "  array([0.11923044, 0.04605134, 0.15534351, 0.15475397, 0.03470801,\n",
       "         0.16420533, 0.11073087, 0.09686679, 0.10659967, 0.01151006]),\n",
       "  array([0.0175551 , 0.14609135, 0.15303364, 0.07341304, 0.16592433,\n",
       "         0.17957386, 0.0201376 , 0.06566327, 0.06351882, 0.11508899]),\n",
       "  array([0.12834383, 0.04376994, 0.09838696, 0.1117147 , 0.14006524,\n",
       "         0.1398677 , 0.13064097, 0.02441464, 0.15357038, 0.02922564]),\n",
       "  array([0.18425314, 0.06852575, 0.08338873, 0.21599309, 0.06979781,\n",
       "         0.04455683, 0.06484716, 0.09826643, 0.10632658, 0.06404448]),\n",
       "  array([0.16272601, 0.06497889, 0.1474436 , 0.03703477, 0.12230621,\n",
       "         0.10523106, 0.13715277, 0.01573622, 0.0558908 , 0.15149967]),\n",
       "  array([0.08528401, 0.05588085, 0.09441318, 0.0056844 , 0.22621653,\n",
       "         0.20200395, 0.09926342, 0.03920138, 0.03593066, 0.15612161]),\n",
       "  array([0.1494328 , 0.03525184, 0.00973156, 0.19803438, 0.06966452,\n",
       "         0.06590639, 0.1369704 , 0.13049288, 0.08284676, 0.12166848]),\n",
       "  array([0.03184428, 0.12959602, 0.01292859, 0.14848552, 0.05062687,\n",
       "         0.05979432, 0.17394367, 0.10123201, 0.17087305, 0.12067567]),\n",
       "  array([0.05322977, 0.05951709, 0.14846618, 0.09402848, 0.01818575,\n",
       "         0.18663218, 0.16614027, 0.13494576, 0.02539687, 0.11345765]),\n",
       "  array([0.13158707, 0.14063073, 0.14594277, 0.1005361 , 0.11358043,\n",
       "         0.02903767, 0.11224528, 0.10784997, 0.06573676, 0.05285323]),\n",
       "  array([1.95828995e-02, 1.61430384e-01, 1.52694553e-01, 7.65655192e-02,\n",
       "         1.37943046e-01, 1.43032821e-01, 3.95545437e-03, 4.20695267e-05,\n",
       "         1.46177261e-01, 1.58575993e-01]),\n",
       "  array([0.10404399, 0.13406285, 0.07436012, 0.04012139, 0.16285028,\n",
       "         0.15045148, 0.00230406, 0.1655946 , 0.11741173, 0.0487995 ]),\n",
       "  array([0.14781256, 0.09670813, 0.13512019, 0.16179668, 0.09944187,\n",
       "         0.05107262, 0.04056054, 0.06339159, 0.15840564, 0.04569018]),\n",
       "  array([0.10714991, 0.0884584 , 0.09084339, 0.09008659, 0.12107492,\n",
       "         0.14835771, 0.0793149 , 0.13807873, 0.09495073, 0.04168472]),\n",
       "  array([0.08398452, 0.13795595, 0.09128643, 0.13794808, 0.09605313,\n",
       "         0.08495146, 0.12728193, 0.12295901, 0.00518479, 0.11239471]),\n",
       "  array([0.13658576, 0.08773535, 0.07577072, 0.1457042 , 0.14142097,\n",
       "         0.11414909, 0.0350602 , 0.04666152, 0.14808407, 0.06882812]),\n",
       "  array([0.00734428, 0.1628828 , 0.14311772, 0.15448311, 0.08808018,\n",
       "         0.12358667, 0.12423887, 0.03568668, 0.13258772, 0.02799198]),\n",
       "  array([0.00403689, 0.10349127, 0.1374603 , 0.09735026, 0.03033901,\n",
       "         0.11289222, 0.11394225, 0.14663683, 0.1300755 , 0.12377548]),\n",
       "  array([0.16108739, 0.14679259, 0.15530581, 0.07924183, 0.07444362,\n",
       "         0.05047006, 0.06074053, 0.01011699, 0.14920718, 0.11259399]),\n",
       "  array([0.03235975, 0.01375591, 0.10542574, 0.19179469, 0.10372575,\n",
       "         0.00030312, 0.16531754, 0.09112788, 0.10504622, 0.19114341]),\n",
       "  array([0.03322776, 0.2007284 , 0.02266253, 0.09031215, 0.19989119,\n",
       "         0.09284341, 0.08774617, 0.06675388, 0.10337148, 0.10246302]),\n",
       "  array([0.05461948, 0.0571873 , 0.0293616 , 0.12192452, 0.0153935 ,\n",
       "         0.1026895 , 0.21262813, 0.1005792 , 0.11477543, 0.19084134]),\n",
       "  array([0.1597238 , 0.00507215, 0.06719122, 0.0188226 , 0.1259739 ,\n",
       "         0.0772057 , 0.13622071, 0.07475655, 0.18460923, 0.15042414]),\n",
       "  array([0.12955826, 0.05626965, 0.06498205, 0.12069516, 0.13639434,\n",
       "         0.16478733, 0.0281544 , 0.09443331, 0.08863839, 0.11608711]),\n",
       "  array([0.06823997, 0.17698228, 0.14360854, 0.00845007, 0.11999854,\n",
       "         0.08659452, 0.17144207, 0.02244165, 0.04450118, 0.15774119]),\n",
       "  array([0.21004069, 0.09227351, 0.20300496, 0.00694865, 0.09190085,\n",
       "         0.00341044, 0.11477084, 0.06606891, 0.0219357 , 0.18964544]),\n",
       "  array([0.0687058 , 0.1506426 , 0.07105469, 0.16066932, 0.10272203,\n",
       "         0.00191678, 0.06777549, 0.15528847, 0.09073892, 0.13048589]),\n",
       "  array([0.17625337, 0.00595512, 0.10432557, 0.12517129, 0.12026741,\n",
       "         0.06954467, 0.01991583, 0.16037033, 0.13063456, 0.08756185]),\n",
       "  array([0.08503327, 0.05052406, 0.14644221, 0.1149644 , 0.07375097,\n",
       "         0.05848473, 0.15786346, 0.10832078, 0.06876098, 0.13585514]),\n",
       "  array([0.05767806, 0.11013585, 0.08673417, 0.05853801, 0.03929525,\n",
       "         0.13937407, 0.13034983, 0.09724525, 0.19650136, 0.08414815]),\n",
       "  array([0.17531351, 0.0376239 , 0.18316667, 0.14768049, 0.03144914,\n",
       "         0.04314276, 0.11122768, 0.13711698, 0.1229819 , 0.01029697]),\n",
       "  array([0.13804831, 0.1526671 , 0.04758076, 0.01865456, 0.09081183,\n",
       "         0.14256231, 0.13461479, 0.08565242, 0.06525928, 0.12414864]),\n",
       "  array([0.05746517, 0.09469524, 0.13896993, 0.15501332, 0.14014269,\n",
       "         0.13874694, 0.02730424, 0.0207034 , 0.06642105, 0.16053803]),\n",
       "  array([0.01915895, 0.04592543, 0.06132574, 0.02251969, 0.1563266 ,\n",
       "         0.22294845, 0.15158436, 0.18319567, 0.00205701, 0.13495809]),\n",
       "  array([0.29659396, 0.01061996, 0.1575412 , 0.11260373, 0.12211409,\n",
       "         0.02702827, 0.03471801, 0.07032554, 0.14335131, 0.02510392]),\n",
       "  array([0.00392688, 0.11960358, 0.12142736, 0.09918063, 0.15838375,\n",
       "         0.06867321, 0.04298356, 0.12655386, 0.16109181, 0.09817536]),\n",
       "  array([0.01748066, 0.03404669, 0.16184034, 0.11540624, 0.03539347,\n",
       "         0.1563431 , 0.16627096, 0.07602434, 0.0323222 , 0.204872  ]),\n",
       "  array([0.2161749 , 0.09992588, 0.00933426, 0.16533267, 0.00769184,\n",
       "         0.07997264, 0.01145599, 0.19420381, 0.11339429, 0.10251372]),\n",
       "  array([0.12896258, 0.0937201 , 0.13926811, 0.02061405, 0.11743431,\n",
       "         0.14912351, 0.04415099, 0.07845967, 0.10542061, 0.12284606]),\n",
       "  array([0.1080194 , 0.01622651, 0.08706835, 0.02864893, 0.20840764,\n",
       "         0.21366959, 0.17692751, 0.04385945, 0.07858074, 0.03859189]),\n",
       "  array([0.06927541, 0.2022672 , 0.08953936, 0.08600354, 0.05522448,\n",
       "         0.04919929, 0.03882318, 0.16128711, 0.122814  , 0.12556642]),\n",
       "  array([0.12311736, 0.09568452, 0.10024678, 0.157599  , 0.04098123,\n",
       "         0.10425995, 0.14402032, 0.14337646, 0.01344292, 0.07727147]),\n",
       "  array([0.13676247, 0.14095576, 0.00351135, 0.17132799, 0.12947628,\n",
       "         0.1713909 , 0.06758351, 0.02198202, 0.13049816, 0.02651157]),\n",
       "  array([0.19903468, 0.01699769, 0.17034052, 0.04582092, 0.05440925,\n",
       "         0.04159454, 0.15474008, 0.00577927, 0.11821672, 0.19306633]),\n",
       "  array([0.16475133, 0.07595244, 0.10502511, 0.04605271, 0.10313238,\n",
       "         0.16492387, 0.09737477, 0.06682553, 0.04332419, 0.13263767]),\n",
       "  array([0.05299849, 0.21081063, 0.08364729, 0.08355005, 0.21047007,\n",
       "         0.1046986 , 0.16320452, 0.04550711, 0.02060334, 0.0245099 ]),\n",
       "  array([0.12743844, 0.00188785, 0.11758425, 0.13152764, 0.03553644,\n",
       "         0.14298727, 0.01950552, 0.17314282, 0.15438345, 0.09600632]),\n",
       "  array([0.1729737 , 0.14225918, 0.16902532, 0.00842518, 0.08856851,\n",
       "         0.09409805, 0.06833371, 0.06397479, 0.07793694, 0.11440461]),\n",
       "  array([0.03763864, 0.1411835 , 0.13809304, 0.12437061, 0.1316149 ,\n",
       "         0.06537953, 0.06131914, 0.10777301, 0.12081619, 0.07181145]),\n",
       "  array([0.0823463 , 0.00500045, 0.07656923, 0.18461779, 0.08003841,\n",
       "         0.21830311, 0.09109429, 0.12897057, 0.11667614, 0.01638371]),\n",
       "  array([0.10447603, 0.06321784, 0.21315731, 0.06276388, 0.04299756,\n",
       "         0.0976953 , 0.22529529, 0.06421882, 0.04409292, 0.08208504]),\n",
       "  array([0.08557592, 0.12165294, 0.12769102, 0.02047212, 0.19965157,\n",
       "         0.02337417, 0.19175867, 0.02310848, 0.10260018, 0.10411492]),\n",
       "  array([0.00619067, 0.15786026, 0.12946993, 0.08901322, 0.21842918,\n",
       "         0.04369907, 0.23722865, 0.04173125, 0.03117475, 0.04520303]),\n",
       "  array([0.02064195, 0.07204718, 0.07098821, 0.02304921, 0.0285747 ,\n",
       "         0.05950726, 0.2598945 , 0.25589739, 0.08336415, 0.12603544]),\n",
       "  array([0.13350167, 0.04783161, 0.0728931 , 0.10691891, 0.1892015 ,\n",
       "         0.14242611, 0.06030349, 0.03920408, 0.05386107, 0.15385846]),\n",
       "  array([0.03095094, 0.07011605, 0.20672358, 0.00599457, 0.20547353,\n",
       "         0.0261652 , 0.15847627, 0.11962053, 0.12804312, 0.0484362 ]),\n",
       "  array([0.16451591, 0.11127102, 0.03124553, 0.07277261, 0.07311339,\n",
       "         0.1028068 , 0.18948686, 0.09963594, 0.07897846, 0.07617348]),\n",
       "  array([0.12081416, 0.06339447, 0.09139504, 0.20628398, 0.2070205 ,\n",
       "         0.00470574, 0.07134366, 0.08758829, 0.03685276, 0.11060139]),\n",
       "  array([0.14731978, 0.08918591, 0.10363712, 0.17198726, 0.1301669 ,\n",
       "         0.06951001, 0.04467945, 0.02643112, 0.10590094, 0.11118151]),\n",
       "  array([0.10165456, 0.07515359, 0.19464512, 0.09156626, 0.02558513,\n",
       "         0.14939442, 0.09565105, 0.03484811, 0.1541252 , 0.07737656]),\n",
       "  array([0.13361016, 0.05428918, 0.02865486, 0.02867809, 0.06847019,\n",
       "         0.19023074, 0.15733674, 0.16400928, 0.03148299, 0.14323776]),\n",
       "  array([0.00970965, 0.13924588, 0.05560035, 0.22405664, 0.02496972,\n",
       "         0.18462387, 0.06204495, 0.02170525, 0.14621392, 0.13182977]),\n",
       "  array([0.1107166 , 0.13429768, 0.03824515, 0.02719858, 0.132365  ,\n",
       "         0.17600675, 0.13811382, 0.02362583, 0.09768413, 0.12174648]),\n",
       "  array([0.08321656, 0.09213148, 0.06906828, 0.14379021, 0.00562795,\n",
       "         0.13400129, 0.11338151, 0.10084883, 0.17552715, 0.08240673]),\n",
       "  array([0.00738517, 0.08446741, 0.2053067 , 0.17643094, 0.06026281,\n",
       "         0.07416508, 0.03964576, 0.16064667, 0.13671882, 0.05497065]),\n",
       "  array([0.07514301, 0.16673474, 0.07650788, 0.12979594, 0.04470789,\n",
       "         0.03723784, 0.1401575 , 0.1198228 , 0.06456968, 0.14532271]),\n",
       "  array([0.0381788 , 0.12081531, 0.12604724, 0.10862404, 0.05403904,\n",
       "         0.15477608, 0.12124329, 0.03563016, 0.15667893, 0.08396711]),\n",
       "  array([0.03090591, 0.00292376, 0.21167581, 0.18606377, 0.0004232 ,\n",
       "         0.20505666, 0.16631619, 0.03784484, 0.09623066, 0.06255919]),\n",
       "  array([0.11006132, 0.0837439 , 0.0528428 , 0.01222003, 0.08869457,\n",
       "         0.14395121, 0.07993239, 0.19352744, 0.2044293 , 0.03059705]),\n",
       "  array([0.0564891 , 0.1369769 , 0.18679418, 0.0476694 , 0.02698276,\n",
       "         0.11455371, 0.24678109, 0.02433653, 0.07419571, 0.08522061]),\n",
       "  array([0.11972238, 0.13837285, 0.08311809, 0.09547185, 0.12812919,\n",
       "         0.02533041, 0.00768559, 0.11328444, 0.14680218, 0.14208302]),\n",
       "  array([0.19806325, 0.14718511, 0.11802434, 0.10095065, 0.09421154,\n",
       "         0.00942937, 0.02829991, 0.15456006, 0.08043036, 0.06884542]),\n",
       "  array([0.04950458, 0.17043695, 0.02287425, 0.11855999, 0.06161119,\n",
       "         0.1019558 , 0.08079865, 0.18016707, 0.180199  , 0.03389251]),\n",
       "  array([0.04724675, 0.12660413, 0.07261109, 0.06533418, 0.1165047 ,\n",
       "         0.09840081, 0.1013068 , 0.09960579, 0.12098013, 0.15140561]),\n",
       "  array([0.13457294, 0.04735499, 0.15668855, 0.0585553 , 0.02243183,\n",
       "         0.12465723, 0.13684044, 0.10790758, 0.04826488, 0.16272625]),\n",
       "  array([0.09656741, 0.01516172, 0.12208391, 0.08647287, 0.0999301 ,\n",
       "         0.06230902, 0.05965314, 0.15429648, 0.1883522 , 0.11517315]),\n",
       "  array([0.11904538, 0.24566418, 0.04300972, 0.0038177 , 0.03027878,\n",
       "         0.12792961, 0.07379274, 0.10863753, 0.03166075, 0.21616361]),\n",
       "  array([0.1037745 , 0.10974895, 0.12648936, 0.03576679, 0.14474867,\n",
       "         0.08944523, 0.06807224, 0.10829147, 0.10294812, 0.11071467]),\n",
       "  array([0.07072246, 0.13155488, 0.13255507, 0.14652171, 0.0489063 ,\n",
       "         0.08818036, 0.19076133, 0.02660446, 0.14495182, 0.01924161]),\n",
       "  array([0.12617231, 0.01522375, 0.19158081, 0.02958247, 0.00771013,\n",
       "         0.18034299, 0.04602429, 0.10893887, 0.11349073, 0.18093367]),\n",
       "  array([0.14410257, 0.09229572, 0.12128079, 0.08698506, 0.09374481,\n",
       "         0.03320017, 0.17393516, 0.15609846, 0.06819842, 0.03015884]),\n",
       "  array([0.0713606 , 0.07802592, 0.12875763, 0.15599018, 0.10165243,\n",
       "         0.15870151, 0.08994503, 0.07177914, 0.0677412 , 0.07604635]),\n",
       "  array([0.00198708, 0.21262255, 0.04812549, 0.01463423, 0.09126442,\n",
       "         0.14006765, 0.12068466, 0.04605914, 0.09981184, 0.22474295]),\n",
       "  array([0.05981607, 0.1231631 , 0.13901436, 0.0415534 , 0.0078613 ,\n",
       "         0.18604543, 0.11112541, 0.13512681, 0.14853802, 0.04775609]),\n",
       "  array([0.05283284, 0.16884324, 0.03997566, 0.1898759 , 0.09104062,\n",
       "         0.01480538, 0.22072996, 0.16907633, 0.01013512, 0.04268495]),\n",
       "  array([0.16498378, 0.01787776, 0.00428342, 0.09739022, 0.04463149,\n",
       "         0.1913144 , 0.18360841, 0.12869804, 0.13787628, 0.02933619]),\n",
       "  array([0.19070393, 0.09822637, 0.07840368, 0.17988285, 0.0275045 ,\n",
       "         0.1641422 , 0.12187739, 0.0380595 , 0.05932616, 0.04187342]),\n",
       "  array([0.17252593, 0.25170992, 0.08275939, 0.07992348, 0.17184878,\n",
       "         0.00396741, 0.07252275, 0.08761282, 0.0414372 , 0.03569232]),\n",
       "  array([0.02146511, 0.04612595, 0.16154813, 0.11115552, 0.11360587,\n",
       "         0.04216255, 0.13418854, 0.17952911, 0.17072576, 0.01949346]),\n",
       "  array([0.19685268, 0.20116706, 0.03882766, 0.22380985, 0.09055305,\n",
       "         0.07497132, 0.04784556, 0.02818764, 0.02747741, 0.07030776]),\n",
       "  array([0.10771443, 0.04719333, 0.10046767, 0.05954362, 0.12666656,\n",
       "         0.06908916, 0.18156022, 0.12850443, 0.14214036, 0.03712022]),\n",
       "  array([0.17950988, 0.18095669, 0.01584954, 0.13123441, 0.03385695,\n",
       "         0.08622233, 0.18748661, 0.08154279, 0.00794535, 0.09539546]),\n",
       "  array([0.05791989, 0.06134901, 0.1820403 , 0.00979036, 0.05755366,\n",
       "         0.05904251, 0.16446312, 0.16808396, 0.16051103, 0.07924617]),\n",
       "  array([0.12884506, 0.10396447, 0.07086444, 0.04414156, 0.11176644,\n",
       "         0.13637794, 0.108302  , 0.02545481, 0.15271608, 0.1175672 ]),\n",
       "  array([0.02350552, 0.18575204, 0.17467946, 0.07289122, 0.1239628 ,\n",
       "         0.02144777, 0.00432907, 0.02939912, 0.20973236, 0.15430063]),\n",
       "  array([0.05390449, 0.1371297 , 0.07026806, 0.12724515, 0.14180903,\n",
       "         0.19075389, 0.04436747, 0.12026101, 0.0206176 , 0.0936436 ]),\n",
       "  array([0.08173747, 0.12248352, 0.06236949, 0.07067231, 0.08539165,\n",
       "         0.10799867, 0.06885924, 0.1514172 , 0.08563187, 0.16343857]),\n",
       "  array([0.15172202, 0.10059135, 0.15423683, 0.08863772, 0.05518814,\n",
       "         0.07735187, 0.11154211, 0.12347872, 0.12338001, 0.01387124]),\n",
       "  array([0.15740782, 0.10579187, 0.00230821, 0.12301352, 0.15297132,\n",
       "         0.00126824, 0.13583141, 0.08581841, 0.1221297 , 0.11345949]),\n",
       "  array([0.02001104, 0.08338919, 0.0468802 , 0.22374683, 0.08861662,\n",
       "         0.15190259, 0.07085076, 0.18823303, 0.03091592, 0.09545381]),\n",
       "  array([0.10189538, 0.12419048, 0.08439533, 0.17739733, 0.1246967 ,\n",
       "         0.07275955, 0.06215648, 0.09611796, 0.01571744, 0.14067336]),\n",
       "  array([0.16091901, 0.03725847, 0.19150423, 0.09745971, 0.06600833,\n",
       "         0.02594158, 0.00459502, 0.07543477, 0.10277162, 0.23810726]),\n",
       "  array([0.06121628, 0.09968565, 0.07586891, 0.11389726, 0.04723231,\n",
       "         0.14131037, 0.10056875, 0.13550422, 0.11054962, 0.11416663]),\n",
       "  array([0.17866032, 0.11196913, 0.00429626, 0.03485919, 0.18324967,\n",
       "         0.01352547, 0.17380307, 0.10545034, 0.07550697, 0.11867959]),\n",
       "  array([0.11771729, 0.16368056, 0.17164301, 0.02425217, 0.19105054,\n",
       "         0.02475318, 0.13769738, 0.12181004, 0.0161077 , 0.03128813]),\n",
       "  array([0.03925475, 0.01434289, 0.13466061, 0.03739306, 0.19855111,\n",
       "         0.03479469, 0.1987922 , 0.14694718, 0.11949253, 0.07577099]),\n",
       "  array([0.07525889, 0.04765225, 0.07104138, 0.22753346, 0.12436746,\n",
       "         0.01766012, 0.20076384, 0.11005453, 0.01648468, 0.10918339]),\n",
       "  array([0.08948079, 0.08675052, 0.19074615, 0.01914408, 0.03501747,\n",
       "         0.1948546 , 0.12023431, 0.17605318, 0.06823035, 0.01948854]),\n",
       "  array([0.15441897, 0.13788475, 0.09100542, 0.00048108, 0.10558628,\n",
       "         0.09527038, 0.07874873, 0.12283678, 0.13443834, 0.07932926]),\n",
       "  array([0.15783544, 0.14805017, 0.11334747, 0.14782226, 0.02678572,\n",
       "         0.12797862, 0.10909463, 0.09248398, 0.02024203, 0.05635967]),\n",
       "  array([0.09373448, 0.16477204, 0.18127479, 0.04938789, 0.09427826,\n",
       "         0.05520511, 0.12353376, 0.05232779, 0.16597077, 0.01951512]),\n",
       "  array([0.06104213, 0.01736041, 0.11125074, 0.10192398, 0.06493771,\n",
       "         0.16044503, 0.11167597, 0.19038405, 0.08704968, 0.0939303 ]),\n",
       "  array([0.09181012, 0.10496152, 0.02323744, 0.20986301, 0.0529612 ,\n",
       "         0.20814088, 0.00764057, 0.0972644 , 0.14242114, 0.06169972]),\n",
       "  array([0.023714  , 0.11748035, 0.09577837, 0.05188237, 0.13606439,\n",
       "         0.14424898, 0.01620582, 0.1585201 , 0.10413248, 0.15197314]),\n",
       "  array([0.07911796, 0.13088548, 0.18095736, 0.05313312, 0.17562517,\n",
       "         0.07535446, 0.1806096 , 0.05394863, 0.00619647, 0.06417176]),\n",
       "  array([0.13258659, 0.02209361, 0.05405626, 0.11670575, 0.10383502,\n",
       "         0.17596369, 0.0126745 , 0.19505791, 0.10104747, 0.08597921]),\n",
       "  array([0.11895201, 0.11825843, 0.05741232, 0.08449884, 0.14666204,\n",
       "         0.03174232, 0.14044659, 0.0826581 , 0.06126169, 0.15810766]),\n",
       "  array([0.15476142, 0.14708962, 0.08468149, 0.05026269, 0.00215292,\n",
       "         0.16021921, 0.00654554, 0.14103231, 0.17998856, 0.07326624]),\n",
       "  array([0.06534272, 0.21896048, 0.11962745, 0.07972687, 0.06911783,\n",
       "         0.01676041, 0.04665663, 0.21509773, 0.11402484, 0.05468503]),\n",
       "  array([0.08455335, 0.05967507, 0.16459855, 0.06491285, 0.17438211,\n",
       "         0.00362158, 0.11203342, 0.10827236, 0.17328126, 0.05466944]),\n",
       "  array([0.09406733, 0.10526941, 0.12042915, 0.11758012, 0.04604898,\n",
       "         0.09223738, 0.07021845, 0.11565582, 0.12166695, 0.11682641]),\n",
       "  array([0.17241182, 0.16145089, 0.14150887, 0.08515859, 0.08715553,\n",
       "         0.15075828, 0.15070839, 0.00639224, 0.03861806, 0.00583733]),\n",
       "  array([0.06806682, 0.01662323, 0.18687502, 0.16705731, 0.07110796,\n",
       "         0.04544986, 0.21232538, 0.21865742, 0.00316286, 0.01067414]),\n",
       "  array([0.11411755, 0.12065487, 0.03587328, 0.16349857, 0.05417693,\n",
       "         0.10416803, 0.15611414, 0.08499666, 0.02618795, 0.140212  ]),\n",
       "  array([0.08030313, 0.02012948, 0.12036037, 0.10199016, 0.10260432,\n",
       "         0.02381647, 0.12124623, 0.16420643, 0.1621448 , 0.10319862]),\n",
       "  array([0.11606651, 0.05004929, 0.09521623, 0.04959204, 0.09747573,\n",
       "         0.04787957, 0.1749595 , 0.18594254, 0.18125972, 0.00155886]),\n",
       "  array([0.12842755, 0.12509655, 0.04700335, 0.06198427, 0.17436656,\n",
       "         0.12158139, 0.14276099, 0.03291058, 0.02569154, 0.14017722]),\n",
       "  array([0.09222027, 0.1351218 , 0.17082778, 0.07348339, 0.08567395,\n",
       "         0.04860451, 0.07825473, 0.0446597 , 0.18396582, 0.08718805]),\n",
       "  array([1.06998116e-01, 4.39781051e-05, 1.64983512e-01, 3.77604487e-02,\n",
       "         1.38742699e-01, 1.52355703e-02, 1.18755080e-01, 1.63128860e-01,\n",
       "         9.53857414e-02, 1.58965996e-01]),\n",
       "  array([0.08579755, 0.06269128, 0.10375757, 0.0865852 , 0.05793052,\n",
       "         0.12011328, 0.14012599, 0.14370594, 0.10386173, 0.09543094]),\n",
       "  array([0.17124287, 0.03613079, 0.17439806, 0.06880292, 0.10677631,\n",
       "         0.00787939, 0.14566946, 0.03746709, 0.07730827, 0.17432483]),\n",
       "  array([0.07563341, 0.1077995 , 0.05625225, 0.00638661, 0.15287929,\n",
       "         0.06291025, 0.22282586, 0.21660427, 0.03634719, 0.06236138]),\n",
       "  array([0.1241364 , 0.06855749, 0.11051564, 0.10767884, 0.12169578,\n",
       "         0.04558476, 0.12753501, 0.14104775, 0.10917755, 0.04407079]),\n",
       "  array([0.16394259, 0.15067506, 0.01000238, 0.17666445, 0.09258634,\n",
       "         0.13712177, 0.16977254, 0.02919862, 0.03295859, 0.03707766]),\n",
       "  array([0.07170099, 0.18821796, 0.0083315 , 0.19470006, 0.01606057,\n",
       "         0.09796312, 0.18976602, 0.07322513, 0.1239795 , 0.03605515]),\n",
       "  array([0.15619855, 0.13096895, 0.04154392, 0.07256399, 0.11639347,\n",
       "         0.14465821, 0.06942831, 0.15527066, 0.01373441, 0.09923952]),\n",
       "  array([0.08991008, 0.25413191, 0.03524154, 0.06616662, 0.24040856,\n",
       "         0.01675991, 0.0860586 , 0.12084151, 0.05678142, 0.03369985]),\n",
       "  array([0.14696778, 0.08196911, 0.09954634, 0.12089197, 0.15652098,\n",
       "         0.04054113, 0.05435864, 0.15080816, 0.02996256, 0.11843334]),\n",
       "  array([0.01498921, 0.01905683, 0.11131484, 0.1053722 , 0.01817075,\n",
       "         0.19523956, 0.01877107, 0.13530822, 0.11277186, 0.26900546]),\n",
       "  array([0.08092391, 0.09313972, 0.02834278, 0.04173728, 0.0707003 ,\n",
       "         0.09685394, 0.06824667, 0.15519265, 0.15886083, 0.20600193]),\n",
       "  array([0.08842954, 0.0474721 , 0.17652976, 0.17626791, 0.16322235,\n",
       "         0.00416967, 0.15233292, 0.04113757, 0.14725588, 0.00318231]),\n",
       "  array([0.08057703, 0.17525677, 0.13866849, 0.17533429, 0.11841484,\n",
       "         0.11422707, 0.03189123, 0.04825099, 0.07366001, 0.04371929]),\n",
       "  array([0.13518991, 0.1583994 , 0.16227515, 0.01093517, 0.03378519,\n",
       "         0.10290522, 0.19786028, 0.17617368, 0.00781999, 0.01465599]),\n",
       "  array([0.0192187 , 0.12986572, 0.06682105, 0.00215639, 0.08648027,\n",
       "         0.12379219, 0.1586976 , 0.13777441, 0.14509818, 0.13009549]),\n",
       "  array([0.0755022 , 0.11189445, 0.17933105, 0.0249363 , 0.04243649,\n",
       "         0.14054329, 0.02903636, 0.07921416, 0.12423578, 0.19286992]),\n",
       "  array([0.14836314, 0.15462724, 0.0125013 , 0.15976938, 0.14992024,\n",
       "         0.14878142, 0.1573263 , 0.01681105, 0.05068229, 0.00121763]),\n",
       "  array([0.07393041, 0.06405419, 0.09424007, 0.13556759, 0.04606763,\n",
       "         0.14609185, 0.14076476, 0.14600469, 0.04043324, 0.11284557]),\n",
       "  array([0.14421962, 0.10854582, 0.1408673 , 0.09857094, 0.14218101,\n",
       "         0.15163762, 0.01360214, 0.14822574, 0.02445888, 0.02769094]),\n",
       "  array([0.18391571, 0.14869596, 0.05241512, 0.01864497, 0.10433213,\n",
       "         0.11397654, 0.04549519, 0.10212166, 0.05588337, 0.17451934]),\n",
       "  array([0.15287619, 0.00285889, 0.1365736 , 0.17550297, 0.05856264,\n",
       "         0.13418443, 0.01231473, 0.18485263, 0.07282094, 0.06945297]),\n",
       "  array([0.07445557, 0.22311575, 0.14217704, 0.23589415, 0.00040186,\n",
       "         0.06727751, 0.04353298, 0.10026328, 0.04787159, 0.06501026]),\n",
       "  array([0.09559484, 0.12707681, 0.02972823, 0.11824799, 0.16859692,\n",
       "         0.00896408, 0.00347413, 0.05571437, 0.22808867, 0.16451396]),\n",
       "  array([0.02872927, 0.08398595, 0.11565066, 0.01957487, 0.17319965,\n",
       "         0.04333207, 0.1802841 , 0.09951165, 0.05032777, 0.205404  ]),\n",
       "  array([0.14527633, 0.19090997, 0.16039321, 0.09100084, 0.1812098 ,\n",
       "         0.03238079, 0.03187357, 0.10076189, 0.02854029, 0.03765331]),\n",
       "  array([0.00253327, 0.13432142, 0.05191131, 0.15490363, 0.09593284,\n",
       "         0.12836904, 0.12036588, 0.11767693, 0.04561564, 0.14837005]),\n",
       "  array([0.11796574, 0.03876393, 0.10158641, 0.12973559, 0.08342139,\n",
       "         0.00310504, 0.07008294, 0.11402676, 0.16216278, 0.17914943]),\n",
       "  array([0.10423621, 0.13710435, 0.11924106, 0.04820718, 0.08963502,\n",
       "         0.10656311, 0.12025474, 0.05037207, 0.08592127, 0.13846499]),\n",
       "  array([0.04906559, 0.16148236, 0.16835238, 0.02727249, 0.01944189,\n",
       "         0.14995627, 0.06641754, 0.16314556, 0.16906602, 0.0257999 ]),\n",
       "  array([0.00621189, 0.1472096 , 0.1507561 , 0.14177773, 0.11520535,\n",
       "         0.06262572, 0.06502612, 0.12237976, 0.09280641, 0.09600132]),\n",
       "  array([0.04178862, 0.01944943, 0.11299529, 0.21690139, 0.16343136,\n",
       "         0.0651381 , 0.21392013, 0.02360066, 0.09352416, 0.04925087]),\n",
       "  array([0.00040839, 0.2111917 , 0.08812763, 0.04474184, 0.00759286,\n",
       "         0.04144192, 0.16312758, 0.15415421, 0.0478033 , 0.24141058]),\n",
       "  array([0.14385296, 0.20731264, 0.09244075, 0.00723659, 0.09566856,\n",
       "         0.01181599, 0.02471385, 0.07153994, 0.10416912, 0.2412496 ]),\n",
       "  array([0.06817202, 0.06419795, 0.06832885, 0.09447407, 0.10467585,\n",
       "         0.1687672 , 0.09601583, 0.07452525, 0.18000782, 0.08083516]),\n",
       "  array([4.15384565e-03, 2.19467099e-01, 1.63698099e-01, 5.89327820e-02,\n",
       "         2.59002823e-01, 8.88006269e-02, 1.55745689e-01, 2.24132458e-04,\n",
       "         2.03827921e-02, 2.95921109e-02]),\n",
       "  array([0.18575945, 0.00868086, 0.17985455, 0.11584163, 0.02207231,\n",
       "         0.0240109 , 0.09860615, 0.02735123, 0.1966275 , 0.14119543]),\n",
       "  array([0.14284215, 0.04911783, 0.06875275, 0.14694087, 0.12313477,\n",
       "         0.04851946, 0.08664762, 0.06749015, 0.12358097, 0.14297343]),\n",
       "  array([0.26608463, 0.21432077, 0.00533064, 0.04595796, 0.18018796,\n",
       "         0.02960575, 0.04893261, 0.03394284, 0.05373809, 0.12189874]),\n",
       "  array([0.05959714, 0.08622445, 0.03387638, 0.10839456, 0.10852476,\n",
       "         0.14167419, 0.08132054, 0.14592181, 0.10507399, 0.12939216]),\n",
       "  array([0.01368798, 0.15209594, 0.07669235, 0.16287264, 0.09961668,\n",
       "         0.14019292, 0.10839519, 0.07509271, 0.14437465, 0.02697894]),\n",
       "  array([0.05108856, 0.08020662, 0.14109723, 0.1163433 , 0.07373886,\n",
       "         0.14564014, 0.02890339, 0.12299419, 0.13716284, 0.10282487]),\n",
       "  array([0.09749459, 0.14152041, 0.0722633 , 0.09643484, 0.10541562,\n",
       "         0.07250726, 0.03716724, 0.21128503, 0.11058824, 0.05532348]),\n",
       "  array([0.104037  , 0.06197417, 0.0531177 , 0.08295245, 0.1213272 ,\n",
       "         0.17218745, 0.05075731, 0.17240426, 0.13648665, 0.04475581]),\n",
       "  array([0.18332325, 0.01444806, 0.20653728, 0.13427778, 0.14863965,\n",
       "         0.13045869, 0.0017517 , 0.01247129, 0.08306167, 0.08503062]),\n",
       "  array([0.02045789, 0.03543635, 0.1422866 , 0.00089355, 0.21548832,\n",
       "         0.21132291, 0.1189878 , 0.06315226, 0.10491061, 0.08706372]),\n",
       "  array([0.04458558, 0.07334228, 0.14871508, 0.16093714, 0.0377295 ,\n",
       "         0.0336196 , 0.18062872, 0.12438084, 0.11786639, 0.07819487]),\n",
       "  array([0.1754788 , 0.00504053, 0.15480591, 0.08479863, 0.10525389,\n",
       "         0.08379536, 0.08453083, 0.18009681, 0.07456669, 0.05163255]),\n",
       "  array([0.11325336, 0.12430892, 0.12317639, 0.04033673, 0.08795347,\n",
       "         0.14749577, 0.1184643 , 0.01812017, 0.12343017, 0.10346072]),\n",
       "  array([0.18559382, 0.153552  , 0.11872217, 0.10000639, 0.03830204,\n",
       "         0.19675574, 0.04415428, 0.04947001, 0.01234771, 0.10109583]),\n",
       "  array([0.14716725, 0.01011448, 0.16613735, 0.14142   , 0.09701995,\n",
       "         0.04641283, 0.13002517, 0.03806646, 0.08560781, 0.13802872]),\n",
       "  array([0.09989208, 0.12055306, 0.08277217, 0.15437124, 0.00869001,\n",
       "         0.1031818 , 0.13716527, 0.07616172, 0.06530281, 0.15190984]),\n",
       "  array([0.16072013, 0.17171117, 0.03624245, 0.0856807 , 0.10369092,\n",
       "         0.03578979, 0.09940594, 0.10820328, 0.0762199 , 0.12233571]),\n",
       "  array([0.06098004, 0.11304418, 0.23081465, 0.05641408, 0.16425214,\n",
       "         0.12912308, 0.06950413, 0.0328019 , 0.11872344, 0.02434235]),\n",
       "  array([0.12392549, 0.08338618, 0.11759811, 0.17813633, 0.12813687,\n",
       "         0.10217083, 0.07348516, 0.17387497, 0.01550066, 0.00378539]),\n",
       "  array([0.14903829, 0.11846275, 0.07857617, 0.0410561 , 0.10204112,\n",
       "         0.06029403, 0.14596976, 0.16075299, 0.14203845, 0.00177034]),\n",
       "  array([0.00367315, 0.15467946, 0.10299579, 0.13656902, 0.04834895,\n",
       "         0.14332322, 0.13648999, 0.10105815, 0.13155277, 0.04130948]),\n",
       "  array([0.06572562, 0.04660429, 0.16693165, 0.10707729, 0.1250433 ,\n",
       "         0.14509942, 0.11301993, 0.07915603, 0.04112423, 0.11021824]),\n",
       "  array([0.12103949, 0.03907974, 0.12412722, 0.07717376, 0.16013751,\n",
       "         0.03873693, 0.08808946, 0.15810566, 0.07592833, 0.11758188]),\n",
       "  array([0.04668815, 0.13999607, 0.09245601, 0.07673111, 0.09596273,\n",
       "         0.13391277, 0.15231307, 0.0415116 , 0.0587581 , 0.16167039]),\n",
       "  array([0.05423961, 0.07122135, 0.06705844, 0.13239471, 0.10737902,\n",
       "         0.02611276, 0.11583366, 0.12534308, 0.18100126, 0.11941612]),\n",
       "  array([0.09069393, 0.08400453, 0.00468381, 0.10418137, 0.14261412,\n",
       "         0.10729349, 0.16756076, 0.0636309 , 0.18675273, 0.04858436]),\n",
       "  array([0.11397206, 0.12641444, 0.17302803, 0.02376176, 0.000214  ,\n",
       "         0.07914953, 0.08976745, 0.06436276, 0.15481593, 0.17451405]),\n",
       "  array([0.02898265, 0.04101741, 0.043815  , 0.03715148, 0.14881333,\n",
       "         0.20498016, 0.0232838 , 0.19707609, 0.15916347, 0.11571661]),\n",
       "  array([0.08543741, 0.09944808, 0.15472468, 0.12692841, 0.15089324,\n",
       "         0.12365716, 0.08672615, 0.00165756, 0.08727775, 0.08324957]),\n",
       "  array([0.17630531, 0.08452165, 0.01276398, 0.1269091 , 0.06141531,\n",
       "         0.04818919, 0.13778505, 0.16453411, 0.13670431, 0.05087198]),\n",
       "  array([0.11125199, 0.12076457, 0.02649288, 0.03098795, 0.14280055,\n",
       "         0.18081797, 0.04027858, 0.18126076, 0.08822054, 0.07712422]),\n",
       "  array([0.06519044, 0.22810196, 0.0158639 , 0.01375184, 0.02139836,\n",
       "         0.09728089, 0.17722143, 0.1128469 , 0.11723827, 0.151106  ]),\n",
       "  array([0.1138324 , 0.1379775 , 0.02326054, 0.0032384 , 0.16052784,\n",
       "         0.20624666, 0.01995686, 0.15610406, 0.16905313, 0.00980261]),\n",
       "  array([0.02361063, 0.10757826, 0.04128355, 0.04251988, 0.10003794,\n",
       "         0.14737218, 0.07644644, 0.1261256 , 0.17731175, 0.15771375]),\n",
       "  array([0.20143141, 0.18021712, 0.03514975, 0.03123015, 0.09152815,\n",
       "         0.19729111, 0.10225532, 0.03831787, 0.02424062, 0.0983385 ]),\n",
       "  array([0.17359451, 0.11494293, 0.13281733, 0.04488632, 0.17204879,\n",
       "         0.08102425, 0.02158202, 0.1262288 , 0.1047505 , 0.02812454]),\n",
       "  array([0.18983111, 0.01794898, 0.17070603, 0.06979586, 0.01987564,\n",
       "         0.03830183, 0.13967106, 0.13026944, 0.05354248, 0.17005755]),\n",
       "  array([0.1468765 , 0.13588034, 0.01011691, 0.01251286, 0.0679021 ,\n",
       "         0.1464216 , 0.14682173, 0.1710662 , 0.153448  , 0.00895374]),\n",
       "  array([0.0400548 , 0.05800648, 0.09169328, 0.10972596, 0.06262838,\n",
       "         0.16019124, 0.18709834, 0.06211752, 0.14117678, 0.08730723]),\n",
       "  array([0.10564794, 0.00422226, 0.14867905, 0.26591936, 0.05811636,\n",
       "         0.16352863, 0.15504453, 0.01327075, 0.04348207, 0.04208904]),\n",
       "  array([0.17223991, 0.05187154, 0.10494384, 0.10543821, 0.09986491,\n",
       "         0.05694482, 0.03290063, 0.1254336 , 0.15129481, 0.09906773]),\n",
       "  array([0.06000047, 0.07284491, 0.15386094, 0.10730688, 0.15253425,\n",
       "         0.09052753, 0.02845959, 0.10033371, 0.11436559, 0.11976613]),\n",
       "  array([0.1309094 , 0.15147223, 0.04831256, 0.13556183, 0.14316502,\n",
       "         0.01766558, 0.04305832, 0.08599281, 0.09552595, 0.1483363 ]),\n",
       "  array([0.00053193, 0.12330387, 0.0187924 , 0.11951783, 0.17440915,\n",
       "         0.06127159, 0.13379631, 0.10981011, 0.13301696, 0.12554985]),\n",
       "  array([0.22102038, 0.03293932, 0.01924634, 0.08720135, 0.08332833,\n",
       "         0.00300734, 0.09313395, 0.30335132, 0.08767496, 0.06909671]),\n",
       "  array([0.08032595, 0.09156202, 0.00694786, 0.02767967, 0.15909411,\n",
       "         0.07973716, 0.02062439, 0.25592824, 0.26727857, 0.01082203]),\n",
       "  array([0.06156998, 0.19023141, 0.03056538, 0.02881044, 0.09106663,\n",
       "         0.03018885, 0.19688259, 0.0514869 , 0.17013673, 0.14906109]),\n",
       "  array([0.14094563, 0.02656527, 0.18115064, 0.08496875, 0.14254322,\n",
       "         0.02917408, 0.14577319, 0.03587184, 0.07745588, 0.13555149]),\n",
       "  array([0.16310399, 0.09375412, 0.09913136, 0.15165923, 0.01496772,\n",
       "         0.05025665, 0.07612273, 0.14428024, 0.05280294, 0.15392102]),\n",
       "  array([0.04845127, 0.02328647, 0.05997081, 0.19006174, 0.08467388,\n",
       "         0.24300974, 0.00275025, 0.12356699, 0.01347416, 0.21075469]),\n",
       "  array([0.11838434, 0.07221908, 0.15026968, 0.12374768, 0.13275005,\n",
       "         0.05287706, 0.10770637, 0.12733963, 0.06034845, 0.05435766]),\n",
       "  array([0.07999184, 0.20721837, 0.03513168, 0.06072379, 0.0343769 ,\n",
       "         0.02494505, 0.20246492, 0.18674212, 0.03753863, 0.1308667 ]),\n",
       "  array([0.00760982, 0.02217723, 0.15389941, 0.16746885, 0.02166038,\n",
       "         0.16214421, 0.00098708, 0.15788306, 0.15287896, 0.153291  ]),\n",
       "  array([0.08865615, 0.17563714, 0.05958418, 0.06867573, 0.21896688,\n",
       "         0.07323489, 0.19875451, 0.00746358, 0.09819897, 0.01082797]),\n",
       "  array([0.14014214, 0.03411418, 0.03892659, 0.02692498, 0.18585534,\n",
       "         0.03710113, 0.11512493, 0.02503626, 0.19156805, 0.20520639]),\n",
       "  array([0.17292515, 0.04237549, 0.12866277, 0.12305247, 0.01728957,\n",
       "         0.07673814, 0.14044796, 0.04254427, 0.08990913, 0.16605505]),\n",
       "  array([0.06409377, 0.15517762, 0.12783173, 0.16998694, 0.06644011,\n",
       "         0.11897787, 0.07944659, 0.01006746, 0.13355923, 0.07441867]),\n",
       "  array([0.13162727, 0.06939475, 0.02144712, 0.22399358, 0.10946707,\n",
       "         0.09145923, 0.03156616, 0.16533323, 0.11706688, 0.03864471]),\n",
       "  array([0.05005558, 0.05931521, 0.04737212, 0.10699937, 0.17637561,\n",
       "         0.1765875 , 0.07063518, 0.0436083 , 0.12452692, 0.1445242 ]),\n",
       "  array([0.1184013 , 0.14012988, 0.10978863, 0.13791429, 0.10009085,\n",
       "         0.0627048 , 0.11118629, 0.1135684 , 0.09243129, 0.01378428]),\n",
       "  array([0.08839623, 0.06236159, 0.09338702, 0.04301016, 0.15707482,\n",
       "         0.1675995 , 0.06097701, 0.14130582, 0.13059481, 0.05529305]),\n",
       "  array([0.02680386, 0.13171863, 0.04281571, 0.1754492 , 0.14951186,\n",
       "         0.07971863, 0.0647926 , 0.19676182, 0.00832123, 0.12410645]),\n",
       "  array([0.07125123, 0.15288955, 0.07227907, 0.10010582, 0.04189611,\n",
       "         0.11452075, 0.11297866, 0.04386879, 0.15104411, 0.13916591]),\n",
       "  array([0.01662443, 0.06115846, 0.07332811, 0.14969948, 0.03747349,\n",
       "         0.16484436, 0.18538784, 0.14497006, 0.02308911, 0.14342466]),\n",
       "  array([0.09912021, 0.00412502, 0.09432844, 0.07230826, 0.12466668,\n",
       "         0.14847669, 0.05671136, 0.12597051, 0.11954654, 0.1547463 ]),\n",
       "  array([0.0175007 , 0.15654444, 0.0242286 , 0.06768489, 0.01278544,\n",
       "         0.10943484, 0.13155849, 0.156118  , 0.1677663 , 0.15637828]),\n",
       "  array([0.11263111, 0.06203394, 0.0218418 , 0.16504775, 0.13656496,\n",
       "         0.08690788, 0.01499137, 0.15756586, 0.14250412, 0.09991122]),\n",
       "  array([0.09166169, 0.08154566, 0.15890404, 0.18296776, 0.17841116,\n",
       "         0.08264913, 0.07817772, 0.06106951, 0.04900181, 0.03561153]),\n",
       "  array([0.09987583, 0.03789566, 0.05882584, 0.07466534, 0.16722691,\n",
       "         0.14148236, 0.02888796, 0.17053757, 0.14788435, 0.07271818]),\n",
       "  array([0.04124027, 0.06184682, 0.09784775, 0.11489733, 0.05895379,\n",
       "         0.09746899, 0.13320467, 0.10242177, 0.17859495, 0.11352366]),\n",
       "  array([0.04446207, 0.19716851, 0.17143892, 0.03486301, 0.16723394,\n",
       "         0.07197361, 0.02146461, 0.00771783, 0.07634895, 0.20732852]),\n",
       "  array([0.04797461, 0.15973772, 0.05497041, 0.06652575, 0.145214  ,\n",
       "         0.00333608, 0.12599303, 0.11745326, 0.15673383, 0.12206132]),\n",
       "  array([0.07707884, 0.00217083, 0.11967436, 0.02208102, 0.04989496,\n",
       "         0.01435635, 0.23537092, 0.09288846, 0.23798422, 0.14850005]),\n",
       "  array([0.03228705, 0.10049127, 0.15551241, 0.13008268, 0.10358201,\n",
       "         0.09238796, 0.07242273, 0.04701477, 0.12892341, 0.13729571]),\n",
       "  array([0.12725306, 0.01779501, 0.05641925, 0.20005266, 0.01258539,\n",
       "         0.10193733, 0.14953034, 0.16974637, 0.03288713, 0.13179347]),\n",
       "  array([0.04326111, 0.17564248, 0.01591997, 0.04688955, 0.05351277,\n",
       "         0.20461351, 0.18957931, 0.01715931, 0.10693293, 0.14648907]),\n",
       "  array([0.01784266, 0.01849175, 0.19321763, 0.14538247, 0.00585974,\n",
       "         0.08380971, 0.19413769, 0.22864288, 0.09891571, 0.01369977]),\n",
       "  array([0.01605029, 0.01479993, 0.21621453, 0.11237373, 0.02894275,\n",
       "         0.16880949, 0.16868304, 0.02138744, 0.06348751, 0.18925127]),\n",
       "  array([0.1184102 , 0.11229036, 0.14871405, 0.16721866, 0.06436997,\n",
       "         0.13433156, 0.01423598, 0.16882111, 0.01468213, 0.05692598]),\n",
       "  array([0.05650024, 0.05062142, 0.1484458 , 0.05579603, 0.15580486,\n",
       "         0.11278524, 0.14179344, 0.08572908, 0.17419491, 0.01832897]),\n",
       "  array([0.12627013, 0.10076671, 0.03002675, 0.11159974, 0.16468188,\n",
       "         0.03607866, 0.06233748, 0.16413128, 0.09355264, 0.11055474]),\n",
       "  array([0.17807396, 0.05874071, 0.03801064, 0.00355128, 0.17491937,\n",
       "         0.13091053, 0.11673364, 0.13681302, 0.01369431, 0.14855255]),\n",
       "  array([0.04131088, 0.04422038, 0.00496594, 0.11466097, 0.14434077,\n",
       "         0.16359144, 0.18160189, 0.08203902, 0.06681584, 0.15645287]),\n",
       "  array([0.07718804, 0.09569469, 0.16563298, 0.08946788, 0.16277574,\n",
       "         0.12221745, 0.03801725, 0.05567391, 0.14487989, 0.04845217]),\n",
       "  array([0.10689566, 0.03310459, 0.09733063, 0.00255271, 0.13607405,\n",
       "         0.21656731, 0.08003085, 0.15737077, 0.06923774, 0.1008357 ]),\n",
       "  array([0.1077358 , 0.0224651 , 0.02053661, 0.21062849, 0.03385547,\n",
       "         0.13984146, 0.12900159, 0.06240675, 0.08893339, 0.18459533]),\n",
       "  array([0.04724545, 0.16361637, 0.17677476, 0.02349506, 0.14551296,\n",
       "         0.02742975, 0.00817436, 0.26011597, 0.05564531, 0.09199001]),\n",
       "  array([0.08364695, 0.11623952, 0.18701092, 0.05536516, 0.01907834,\n",
       "         0.1409259 , 0.02801399, 0.13820973, 0.21522823, 0.01628127]),\n",
       "  array([0.02986278, 0.14015724, 0.12737977, 0.16612871, 0.05985595,\n",
       "         0.08223556, 0.02111896, 0.10666397, 0.10576074, 0.16083633]),\n",
       "  array([0.11943724, 0.17349112, 0.08149204, 0.14283637, 0.00786803,\n",
       "         0.11962646, 0.18097631, 0.12353463, 0.0337678 , 0.01696999]),\n",
       "  array([0.05944325, 0.09973735, 0.11380329, 0.16900169, 0.07305751,\n",
       "         0.00416056, 0.21909149, 0.11625873, 0.1031602 , 0.04228592]),\n",
       "  array([0.09577742, 0.00222089, 0.11072761, 0.09750837, 0.13512212,\n",
       "         0.09735046, 0.13292195, 0.07809954, 0.11043726, 0.13983439]),\n",
       "  array([0.15298486, 0.18284557, 0.01770031, 0.02981845, 0.07048347,\n",
       "         0.15005574, 0.06740158, 0.10340244, 0.08193543, 0.14337215]),\n",
       "  array([0.13896997, 0.01187827, 0.07010047, 0.15251917, 0.00827962,\n",
       "         0.09024363, 0.13797808, 0.1815025 , 0.03134736, 0.17718091]),\n",
       "  array([0.07489305, 0.24006907, 0.13739303, 0.0151608 , 0.09149649,\n",
       "         0.19764982, 0.0090329 , 0.00632523, 0.16801567, 0.05996395]),\n",
       "  array([0.10479406, 0.15311478, 0.10766398, 0.03693304, 0.08530672,\n",
       "         0.01454616, 0.15075047, 0.154875  , 0.08268557, 0.10933022]),\n",
       "  array([0.01761278, 0.07280411, 0.1474851 , 0.0494001 , 0.10535636,\n",
       "         0.19328992, 0.14271845, 0.12084215, 0.06552958, 0.08496147]),\n",
       "  array([0.16821529, 0.06691705, 0.00982363, 0.36093984, 0.03845349,\n",
       "         0.02856352, 0.01939233, 0.12053638, 0.18375823, 0.00340025]),\n",
       "  array([0.0909303 , 0.08533355, 0.17890772, 0.15036194, 0.05816774,\n",
       "         0.15552077, 0.04010175, 0.07136245, 0.10894306, 0.06037072]),\n",
       "  array([0.0031327 , 0.22405072, 0.24506676, 0.10715669, 0.13106387,\n",
       "         0.00193747, 0.0324612 , 0.12086068, 0.07584662, 0.05842328]),\n",
       "  array([0.03641543, 0.11603115, 0.05452303, 0.10433245, 0.07264079,\n",
       "         0.16927264, 0.0303948 , 0.06267135, 0.1798209 , 0.17389746]),\n",
       "  array([0.13812333, 0.00563435, 0.09447848, 0.10481112, 0.07969662,\n",
       "         0.13386716, 0.12879457, 0.15626655, 0.13322321, 0.02510461]),\n",
       "  array([0.0784537 , 0.16041138, 0.00868101, 0.11488312, 0.16637513,\n",
       "         0.13248003, 0.12070016, 0.16348273, 0.04389048, 0.01064225]),\n",
       "  array([0.10708588, 0.09405404, 0.07750875, 0.06856733, 0.13328383,\n",
       "         0.01197037, 0.14833702, 0.09274622, 0.15884859, 0.10759797]),\n",
       "  array([0.00487393, 0.12740108, 0.28307835, 0.19407137, 0.02044008,\n",
       "         0.14623962, 0.02803516, 0.02403122, 0.13489359, 0.03693561]),\n",
       "  array([0.09390504, 0.17147793, 0.06326552, 0.18010933, 0.13862818,\n",
       "         0.01184052, 0.03410025, 0.14049582, 0.14126041, 0.024917  ]),\n",
       "  array([0.1474437 , 0.03018793, 0.01536665, 0.07831962, 0.01620962,\n",
       "         0.19953995, 0.08413445, 0.0703932 , 0.17561007, 0.1827948 ]),\n",
       "  array([0.07280997, 0.26935337, 0.04266071, 0.01041081, 0.06751268,\n",
       "         0.07187492, 0.25701279, 0.06666719, 0.09551945, 0.04617811]),\n",
       "  array([0.16794846, 0.07491281, 0.10606963, 0.00796967, 0.16885492,\n",
       "         0.18113931, 0.02114647, 0.05762509, 0.02256415, 0.19176948]),\n",
       "  array([0.17038349, 0.09586877, 0.19667404, 0.05452243, 0.10130285,\n",
       "         0.0588474 , 0.05791364, 0.15910844, 0.04091708, 0.06446185]),\n",
       "  array([0.05965861, 0.09111841, 0.11132103, 0.15892821, 0.01515725,\n",
       "         0.01499893, 0.02854185, 0.2200862 , 0.07764738, 0.22254212]),\n",
       "  array([0.16348735, 0.0872605 , 0.00853989, 0.1404768 , 0.01218479,\n",
       "         0.04476994, 0.08352864, 0.12306585, 0.16347588, 0.17321037]),\n",
       "  array([0.01164293, 0.07599088, 0.12867485, 0.08499823, 0.09155182,\n",
       "         0.18009062, 0.10029577, 0.09216707, 0.1732031 , 0.06138472]),\n",
       "  array([0.11468645, 0.20933516, 0.07071175, 0.02546082, 0.08899678,\n",
       "         0.05763642, 0.08286956, 0.14423623, 0.16940429, 0.03666254]),\n",
       "  array([0.03104429, 0.13641896, 0.02638264, 0.10133922, 0.14562084,\n",
       "         0.03628812, 0.12280317, 0.15414731, 0.23707624, 0.00887919]),\n",
       "  array([0.12895876, 0.09439075, 0.03592978, 0.13848196, 0.14648022,\n",
       "         0.109482  , 0.06038197, 0.11637259, 0.09573565, 0.07378632]),\n",
       "  array([0.10230644, 0.11261313, 0.17124986, 0.01664561, 0.10826858,\n",
       "         0.12743534, 0.17800333, 0.04786209, 0.04261749, 0.09299812]),\n",
       "  array([0.15391125, 0.03070601, 0.00389689, 0.06398527, 0.16533345,\n",
       "         0.06661446, 0.12544049, 0.16509936, 0.1168949 , 0.10811793]),\n",
       "  array([0.24739414, 0.07647847, 0.15096518, 0.00624504, 0.04641899,\n",
       "         0.11971277, 0.05016989, 0.19076296, 0.08932895, 0.02252362]),\n",
       "  array([0.11073094, 0.12434789, 0.00100024, 0.11361219, 0.09017117,\n",
       "         0.06265969, 0.11688107, 0.10483794, 0.13616977, 0.1395891 ]),\n",
       "  array([0.00981935, 0.118498  , 0.23868109, 0.07460957, 0.13530812,\n",
       "         0.06934891, 0.02075954, 0.18728898, 0.05995776, 0.08572868]),\n",
       "  array([0.0257636 , 0.07116362, 0.10536686, 0.10954186, 0.1317908 ,\n",
       "         0.14619153, 0.09161645, 0.12052578, 0.15318122, 0.04485829]),\n",
       "  array([0.11480245, 0.11216932, 0.0276491 , 0.21026114, 0.06143276,\n",
       "         0.01815042, 0.05939272, 0.23944552, 0.03577445, 0.12092212]),\n",
       "  array([0.17353313, 0.04443326, 0.15118316, 0.08115028, 0.08277747,\n",
       "         0.15152837, 0.03424153, 0.10863059, 0.06250254, 0.11001967]),\n",
       "  array([0.16692893, 0.03485175, 0.03200477, 0.10981742, 0.03643662,\n",
       "         0.18372148, 0.09740772, 0.24558311, 0.04943689, 0.04381131]),\n",
       "  array([0.19687634, 0.0868038 , 0.11126775, 0.03072525, 0.0640087 ,\n",
       "         0.04963353, 0.12086186, 0.18956353, 0.11727686, 0.03298239]),\n",
       "  array([0.02708819, 0.15613176, 0.05065165, 0.10338596, 0.08642627,\n",
       "         0.13725796, 0.14195764, 0.14637072, 0.07966211, 0.07106773]),\n",
       "  array([0.13434155, 0.16093651, 0.02890982, 0.12260421, 0.19077593,\n",
       "         0.00911172, 0.04354445, 0.17468602, 0.08641108, 0.04867869]),\n",
       "  array([0.06174163, 0.11486889, 0.03856612, 0.11453126, 0.04290015,\n",
       "         0.11609873, 0.13941919, 0.15015639, 0.10721057, 0.11450708]),\n",
       "  array([0.13228287, 0.00920393, 0.08739363, 0.18821971, 0.22016667,\n",
       "         0.07859611, 0.01939085, 0.02715091, 0.06913333, 0.168462  ]),\n",
       "  array([0.04363952, 0.01219246, 0.19081918, 0.13262075, 0.07256681,\n",
       "         0.10840824, 0.1392861 , 0.05223954, 0.10133729, 0.14689011]),\n",
       "  array([1.33839823e-01, 1.76785582e-01, 1.17110867e-01, 5.22057092e-02,\n",
       "         1.98220398e-06, 1.58261568e-01, 1.51100601e-01, 9.59280357e-03,\n",
       "         1.28908887e-01, 7.21921758e-02]),\n",
       "  array([0.17191331, 0.0504912 , 0.11965429, 0.01166015, 0.1436959 ,\n",
       "         0.15180812, 0.04084951, 0.15269184, 0.07653638, 0.0806993 ]),\n",
       "  array([0.01996112, 0.08584207, 0.10583492, 0.14859046, 0.02649982,\n",
       "         0.14651449, 0.13129652, 0.14406942, 0.07878007, 0.1126111 ]),\n",
       "  array([0.0018216 , 0.11111032, 0.0892698 , 0.14508804, 0.14977595,\n",
       "         0.1473249 , 0.06982672, 0.11992014, 0.04592459, 0.11993793]),\n",
       "  array([0.06416755, 0.15072194, 0.08934582, 0.12967061, 0.00300817,\n",
       "         0.04152054, 0.1108925 , 0.13148562, 0.13274269, 0.14644456]),\n",
       "  array([0.1027044 , 0.15777665, 0.08161221, 0.18146946, 0.15512614,\n",
       "         0.04860811, 0.02651692, 0.06972559, 0.02084873, 0.15561179]),\n",
       "  array([0.1112604 , 0.10062976, 0.14843131, 0.08087504, 0.01318896,\n",
       "         0.1073684 , 0.04044317, 0.15284735, 0.06920165, 0.17575396]),\n",
       "  array([0.03523474, 0.07171883, 0.04087391, 0.02338561, 0.14335694,\n",
       "         0.14133167, 0.1856279 , 0.0915584 , 0.10743258, 0.15947944]),\n",
       "  array([0.15369364, 0.14150783, 0.07037711, 0.0859662 , 0.13826353,\n",
       "         0.12725065, 0.01151199, 0.06430161, 0.15230447, 0.05482297]),\n",
       "  array([0.1330687 , 0.11728713, 0.10940104, 0.12743722, 0.08170718,\n",
       "         0.07350949, 0.07649825, 0.02255236, 0.11029499, 0.14824365]),\n",
       "  array([0.00161261, 0.19409756, 0.15841521, 0.15375732, 0.15148657,\n",
       "         0.17508728, 0.00727629, 0.01265765, 0.07844306, 0.06716648]),\n",
       "  array([0.09748411, 0.12667121, 0.09972309, 0.16951767, 0.09383141,\n",
       "         0.01859522, 0.11672795, 0.0021717 , 0.11531156, 0.15996607]),\n",
       "  array([0.06571574, 0.18316145, 0.08026869, 0.00180071, 0.18522415,\n",
       "         0.00517158, 0.2221751 , 0.0157239 , 0.22643692, 0.01432176]),\n",
       "  array([0.11509293, 0.05218246, 0.01933935, 0.02162144, 0.0739203 ,\n",
       "         0.22473954, 0.07125293, 0.19837316, 0.18231169, 0.0411662 ]),\n",
       "  array([0.09909548, 0.13909757, 0.13263378, 0.02298198, 0.0142795 ,\n",
       "         0.15609346, 0.14912285, 0.07910985, 0.08155817, 0.12602737]),\n",
       "  array([0.14942686, 0.20103218, 0.01219052, 0.04483911, 0.02872082,\n",
       "         0.17847751, 0.01124623, 0.12434991, 0.06926812, 0.18044874]),\n",
       "  array([0.18394957, 0.0196316 , 0.11624586, 0.12241362, 0.17909623,\n",
       "         0.06448413, 0.08166042, 0.16768995, 0.03663338, 0.02819523]),\n",
       "  array([0.12774298, 0.22056489, 0.17313742, 0.01634194, 0.08077345,\n",
       "         0.03046266, 0.08099298, 0.06614042, 0.12197593, 0.08186732]),\n",
       "  array([0.09007749, 0.12918758, 0.04538027, 0.11680085, 0.15553179,\n",
       "         0.02331248, 0.13646375, 0.15836773, 0.12662042, 0.01825764]),\n",
       "  array([0.00342705, 0.06748991, 0.13327036, 0.17591091, 0.05401461,\n",
       "         0.10543425, 0.07583846, 0.15448853, 0.08693132, 0.14319462]),\n",
       "  array([0.13702503, 0.13850839, 0.08407059, 0.14500848, 0.09657201,\n",
       "         0.07237725, 0.10943402, 0.06362046, 0.01636264, 0.13702112]),\n",
       "  array([0.01880113, 0.09440924, 0.07317688, 0.23727141, 0.01172702,\n",
       "         0.01488727, 0.23310618, 0.14797377, 0.05550192, 0.11314518]),\n",
       "  array([0.06803189, 0.05957257, 0.1570964 , 0.14181609, 0.03253681,\n",
       "         0.11652426, 0.06449797, 0.16393968, 0.03154552, 0.16443881]),\n",
       "  array([0.02861003, 0.18523005, 0.0962826 , 0.10941828, 0.14621136,\n",
       "         0.03460633, 0.09720167, 0.14704052, 0.14188923, 0.01350994]),\n",
       "  array([0.21993207, 0.03495149, 0.20439292, 0.02007989, 0.00675597,\n",
       "         0.14589309, 0.02512212, 0.22076066, 0.08246581, 0.03964598]),\n",
       "  array([0.14454533, 0.02902493, 0.106948  , 0.15648491, 0.14353466,\n",
       "         0.09168935, 0.02003267, 0.11428527, 0.07062442, 0.12283048]),\n",
       "  array([0.12492798, 0.04031295, 0.09172239, 0.16650301, 0.0502477 ,\n",
       "         0.06513142, 0.08046593, 0.13790693, 0.08504536, 0.15773632]),\n",
       "  array([0.12686182, 0.09181172, 0.13541356, 0.00954541, 0.00331499,\n",
       "         0.049416  , 0.13363963, 0.15230478, 0.15645543, 0.14123666]),\n",
       "  array([0.21575697, 0.07353299, 0.00426867, 0.20718656, 0.07885197,\n",
       "         0.10828112, 0.13815004, 0.02866261, 0.11528101, 0.03002806]),\n",
       "  array([0.04025684, 0.05409956, 0.16003312, 0.01375938, 0.12126119,\n",
       "         0.16182893, 0.17516131, 0.1032657 , 0.08563936, 0.08469461]),\n",
       "  array([0.08545965, 0.06467847, 0.21883218, 0.02888441, 0.02334842,\n",
       "         0.07606099, 0.06037093, 0.20040071, 0.07094535, 0.17101889]),\n",
       "  array([0.00422885, 0.0590912 , 0.00977234, 0.13643337, 0.06328826,\n",
       "         0.15108756, 0.08034379, 0.10937709, 0.20624312, 0.18013443]),\n",
       "  array([0.05753163, 0.11505717, 0.12444952, 0.15415347, 0.05421041,\n",
       "         0.13083322, 0.06105559, 0.02786436, 0.12125377, 0.15359087]),\n",
       "  array([0.03813243, 0.07715129, 0.03823488, 0.18933586, 0.04546679,\n",
       "         0.12485519, 0.14436238, 0.16201126, 0.13115508, 0.04929484]),\n",
       "  array([0.22212383, 0.00530355, 0.01437454, 0.04019203, 0.09880468,\n",
       "         0.16597827, 0.05740346, 0.04066885, 0.13893699, 0.21621382]),\n",
       "  array([0.13684624, 0.02875451, 0.06957293, 0.09819878, 0.124849  ,\n",
       "         0.05791696, 0.1389572 , 0.11694543, 0.09388168, 0.13407726]),\n",
       "  array([0.24743425, 0.00104287, 0.02488401, 0.02979009, 0.02814728,\n",
       "         0.00253392, 0.25992852, 0.10824093, 0.14534556, 0.15265257]),\n",
       "  array([0.08949329, 0.12764156, 0.10866327, 0.11444585, 0.13095928,\n",
       "         0.0716858 , 0.0490862 , 0.08435629, 0.10411796, 0.1195505 ]),\n",
       "  array([0.15579735, 0.04058158, 0.00741141, 0.16790267, 0.01939059,\n",
       "         0.11635744, 0.16053162, 0.05204029, 0.13491642, 0.14507063]),\n",
       "  array([0.20565687, 0.03165073, 0.15341711, 0.11143975, 0.12378204,\n",
       "         0.05296301, 0.07356313, 0.024323  , 0.14084681, 0.08235754]),\n",
       "  array([0.16916626, 0.12050805, 0.07514569, 0.06249548, 0.04617153,\n",
       "         0.13547222, 0.12238307, 0.12223139, 0.0599298 , 0.08649651]),\n",
       "  array([0.0155175 , 0.14626068, 0.12831849, 0.15542667, 0.06003006,\n",
       "         0.16716126, 0.0524905 , 0.0953005 , 0.04396198, 0.13553236]),\n",
       "  array([0.11969789, 0.2184554 , 0.07209296, 0.03874765, 0.00780647,\n",
       "         0.01942879, 0.16399116, 0.10456411, 0.23231683, 0.02289873]),\n",
       "  array([0.17952749, 0.16830187, 0.03502135, 0.12259768, 0.04934464,\n",
       "         0.04359796, 0.09441951, 0.12648514, 0.04386153, 0.13684283]),\n",
       "  array([0.10339514, 0.07624629, 0.20189494, 0.07858594, 0.02650187,\n",
       "         0.02083674, 0.21943195, 0.05607173, 0.19942862, 0.01760677]),\n",
       "  array([0.05190842, 0.21456342, 0.01766759, 0.03056624, 0.11711313,\n",
       "         0.14439468, 0.10029705, 0.11113528, 0.06905524, 0.14329896]),\n",
       "  array([0.03282355, 0.07707982, 0.22208102, 0.06488634, 0.01752771,\n",
       "         0.17746523, 0.02797119, 0.10697944, 0.04643455, 0.22675115]),\n",
       "  array([0.19485501, 0.14710123, 0.11426919, 0.02577387, 0.01868292,\n",
       "         0.09801825, 0.10141911, 0.00609023, 0.13701417, 0.15677603]),\n",
       "  array([0.09991575, 0.14479374, 0.1385421 , 0.03024491, 0.13891162,\n",
       "         0.10476799, 0.11782588, 0.09803259, 0.0221327 , 0.10483271]),\n",
       "  array([0.01947217, 0.09863184, 0.01731026, 0.20551791, 0.00096143,\n",
       "         0.00126939, 0.21398238, 0.07055235, 0.20461547, 0.1676868 ]),\n",
       "  array([0.08726866, 0.14200486, 0.08951538, 0.11562648, 0.12632258,\n",
       "         0.00848732, 0.05954917, 0.12451982, 0.15627554, 0.0904302 ]),\n",
       "  array([0.18133935, 0.09376137, 0.05834854, 0.17591882, 0.11813187,\n",
       "         0.05189204, 0.00873358, 0.15044866, 0.08708579, 0.07433997]),\n",
       "  array([0.18472027, 0.12772865, 0.08308828, 0.01265027, 0.13380052,\n",
       "         0.03414623, 0.05009843, 0.17036692, 0.12459904, 0.07880139]),\n",
       "  array([0.08941743, 0.1737546 , 0.05536261, 0.11575372, 0.04886261,\n",
       "         0.0234662 , 0.05582783, 0.09997264, 0.19074926, 0.1468331 ]),\n",
       "  array([0.20055589, 0.0519693 , 0.09942619, 0.06714489, 0.02028016,\n",
       "         0.01127466, 0.17953395, 0.2165544 , 0.08614592, 0.06711464]),\n",
       "  array([0.14760325, 0.03854416, 0.00103695, 0.14204672, 0.15174913,\n",
       "         0.12532025, 0.17270902, 0.00568297, 0.08566326, 0.12964428]),\n",
       "  array([0.08488427, 0.08370271, 0.0083654 , 0.14696641, 0.04767169,\n",
       "         0.14385409, 0.13451164, 0.09777589, 0.09755581, 0.15471209]),\n",
       "  array([0.08852208, 0.08003638, 0.01973486, 0.06236347, 0.14032264,\n",
       "         0.08854567, 0.16063365, 0.1574624 , 0.03440339, 0.16797546]),\n",
       "  array([0.13112238, 0.01326107, 0.15691626, 0.00481963, 0.11089632,\n",
       "         0.14753194, 0.15503919, 0.07215842, 0.15792051, 0.05033429]),\n",
       "  array([0.18664077, 0.11236869, 0.00152757, 0.11271171, 0.02073159,\n",
       "         0.27087626, 0.00875519, 0.15918271, 0.1021604 , 0.02504511]),\n",
       "  array([0.10499267, 0.11296323, 0.12945866, 0.03458439, 0.1111574 ,\n",
       "         0.1196303 , 0.07502327, 0.11798701, 0.10944277, 0.08476029]),\n",
       "  array([0.02816553, 0.07856539, 0.11974694, 0.12413688, 0.11640294,\n",
       "         0.00411568, 0.18499906, 0.09192678, 0.14353395, 0.10840684]),\n",
       "  array([0.13986427, 0.16806908, 0.05997785, 0.08130432, 0.12171853,\n",
       "         0.03879496, 0.06253334, 0.0156625 , 0.17094619, 0.14112897]),\n",
       "  array([0.15405686, 0.17859908, 0.12194594, 0.06820208, 0.1294107 ,\n",
       "         0.16078174, 0.05538322, 0.00527645, 0.01840169, 0.10794224]),\n",
       "  array([0.05663573, 0.10217222, 0.1239212 , 0.19710872, 0.0105852 ,\n",
       "         0.01132881, 0.14496317, 0.13316358, 0.18661049, 0.03351088]),\n",
       "  array([0.06058794, 0.00827682, 0.05643076, 0.09874095, 0.04800784,\n",
       "         0.15314956, 0.03944329, 0.1820405 , 0.15915196, 0.19417037]),\n",
       "  array([0.0481093 , 0.10299892, 0.18318299, 0.11199424, 0.14432217,\n",
       "         0.10367883, 0.0673441 , 0.09116663, 0.07990119, 0.06730163]),\n",
       "  array([0.00690068, 0.01324386, 0.19406809, 0.16140231, 0.18402024,\n",
       "         0.04511268, 0.04979051, 0.16865568, 0.05560113, 0.12120481]),\n",
       "  array([0.05356231, 0.12325796, 0.07797827, 0.08180618, 0.11954032,\n",
       "         0.08269615, 0.15722476, 0.03269754, 0.14256726, 0.12866924]),\n",
       "  array([0.12851034, 0.14845812, 0.02658038, 0.0507049 , 0.12619666,\n",
       "         0.04017807, 0.18197741, 0.21203337, 0.02334787, 0.06201288]),\n",
       "  array([0.12053294, 0.16673588, 0.03262679, 0.10287172, 0.06221204,\n",
       "         0.11492562, 0.07913491, 0.15362362, 0.05493648, 0.1124    ]),\n",
       "  array([0.14499469, 0.10039273, 0.12358232, 0.0604926 , 0.12291215,\n",
       "         0.09176174, 0.1458246 , 0.0217762 , 0.15079068, 0.03747229]),\n",
       "  array([0.07377961, 0.11430704, 0.20481378, 0.22954716, 0.02363428,\n",
       "         0.11405894, 0.00048111, 0.00417287, 0.20381569, 0.03138951]),\n",
       "  array([0.10029583, 0.10871418, 0.08141468, 0.01265073, 0.13559606,\n",
       "         0.00146817, 0.15355703, 0.08967004, 0.13615049, 0.1804828 ]),\n",
       "  array([0.08899244, 0.14081097, 0.12347986, 0.01031813, 0.06077939,\n",
       "         0.17890688, 0.15256888, 0.10659843, 0.00523552, 0.13230949]),\n",
       "  array([0.13908345, 0.1502553 , 0.0862211 , 0.03098208, 0.13418772,\n",
       "         0.03168849, 0.12026897, 0.12978301, 0.12486914, 0.05266073]),\n",
       "  array([0.13094958, 0.18873642, 0.02493801, 0.14327392, 0.01045339,\n",
       "         0.14675851, 0.00094659, 0.15243992, 0.03093427, 0.17056939]),\n",
       "  array([0.03945929, 0.20660655, 0.12398318, 0.01885713, 0.11841408,\n",
       "         0.06440806, 0.07169566, 0.07068619, 0.15357642, 0.13231344]),\n",
       "  array([0.03329139, 0.09268573, 0.11514391, 0.13378304, 0.07704472,\n",
       "         0.08950839, 0.14701883, 0.10393548, 0.13114244, 0.07644606]),\n",
       "  array([0.10061279, 0.16689412, 0.10671393, 0.06885699, 0.10603453,\n",
       "         0.16536302, 0.0610349 , 0.06002528, 0.09537622, 0.06908823]),\n",
       "  array([0.11109245, 0.03295153, 0.01347419, 0.11105186, 0.12549554,\n",
       "         0.09691076, 0.14016396, 0.12065831, 0.12699918, 0.12120222]),\n",
       "  array([0.01280223, 0.10564456, 0.0181118 , 0.14096976, 0.13219171,\n",
       "         0.11249792, 0.04045076, 0.15376414, 0.13410461, 0.14946251]),\n",
       "  array([0.13153553, 0.04647715, 0.1378025 , 0.14291364, 0.13931635,\n",
       "         0.05937158, 0.14767459, 0.0404013 , 0.0937622 , 0.06074516]),\n",
       "  array([0.15283861, 0.07237216, 0.00909289, 0.16323267, 0.13390582,\n",
       "         0.07719198, 0.14250445, 0.14575405, 0.05392201, 0.04918537]),\n",
       "  array([0.0050543 , 0.09716967, 0.13176709, 0.08152559, 0.15301542,\n",
       "         0.0799413 , 0.02256511, 0.22549845, 0.13294116, 0.07052191]),\n",
       "  array([0.10627802, 0.12160742, 0.01396785, 0.02455545, 0.16756013,\n",
       "         0.02766709, 0.04623207, 0.12781011, 0.19027091, 0.17405096]),\n",
       "  array([0.18713237, 0.10555165, 0.11057431, 0.06528993, 0.02993657,\n",
       "         0.01774934, 0.08888214, 0.13075777, 0.1215484 , 0.14257752]),\n",
       "  array([0.12649811, 0.06516985, 0.07088606, 0.16357156, 0.1393397 ,\n",
       "         0.00863972, 0.08815464, 0.15875991, 0.05045869, 0.12852177]),\n",
       "  array([0.03114325, 0.15129071, 0.08029111, 0.11854909, 0.11274351,\n",
       "         0.02475253, 0.13591854, 0.10853026, 0.11794011, 0.11884088]),\n",
       "  array([0.05599111, 0.16452436, 0.00094152, 0.01847053, 0.17161232,\n",
       "         0.05586619, 0.03845324, 0.20280546, 0.12153286, 0.1698024 ]),\n",
       "  array([0.16015099, 0.15556857, 0.0466943 , 0.16932619, 0.05526342,\n",
       "         0.03776674, 0.02814995, 0.14229894, 0.05446968, 0.15031123]),\n",
       "  array([0.0399592 , 0.0765982 , 0.00957718, 0.15554014, 0.19808553,\n",
       "         0.0658188 , 0.04164414, 0.18548694, 0.12451036, 0.10277952]),\n",
       "  array([0.10589646, 0.07212463, 0.00225153, 0.02691901, 0.23246271,\n",
       "         0.03477208, 0.22285931, 0.15007532, 0.07127229, 0.08136667]),\n",
       "  array([0.14866202, 0.05133183, 0.05965397, 0.03294615, 0.09943182,\n",
       "         0.16907019, 0.17393303, 0.07717645, 0.10905652, 0.07873801]),\n",
       "  array([0.14764539, 0.04285511, 0.08998132, 0.03558786, 0.11043031,\n",
       "         0.00674525, 0.14798433, 0.14085594, 0.10625342, 0.17166106]),\n",
       "  array([0.01346202, 0.14394391, 0.09344234, 0.08302277, 0.23448073,\n",
       "         0.01061391, 0.03478599, 0.02713138, 0.22123258, 0.13788437]),\n",
       "  array([0.07062806, 0.03845788, 0.02052696, 0.18566237, 0.10524045,\n",
       "         0.0576321 , 0.15955427, 0.15579863, 0.02943564, 0.17706363]),\n",
       "  array([0.14896643, 0.16764998, 0.14428224, 0.06392949, 0.04276244,\n",
       "         0.03500481, 0.09112626, 0.12862897, 0.11328603, 0.06436335]),\n",
       "  array([0.16148978, 0.18007131, 0.02777737, 0.06693129, 0.12854959,\n",
       "         0.02264355, 0.10044307, 0.13008735, 0.15464594, 0.02736074]),\n",
       "  array([0.05057294, 0.07553265, 0.17794667, 0.12564574, 0.06017576,\n",
       "         0.19989376, 0.15543053, 0.08401337, 0.02450934, 0.04627925]),\n",
       "  array([0.18189421, 0.09974642, 0.02746498, 0.13389048, 0.11761396,\n",
       "         0.21773917, 0.07228734, 0.02308486, 0.02227165, 0.10400692]),\n",
       "  array([0.15812758, 0.14962462, 0.11195803, 0.01809748, 0.06642296,\n",
       "         0.16041528, 0.08688899, 0.12400002, 0.08418621, 0.04027882]),\n",
       "  array([0.04459804, 0.05996601, 0.10924297, 0.12884242, 0.12966747,\n",
       "         0.08359591, 0.01875875, 0.14443024, 0.14675207, 0.13414611]),\n",
       "  array([0.0828337 , 0.03312587, 0.10933775, 0.13132516, 0.05993026,\n",
       "         0.14062957, 0.11115217, 0.09496563, 0.10457708, 0.13212281]),\n",
       "  array([0.11699472, 0.06564099, 0.12395267, 0.13726869, 0.0354427 ,\n",
       "         0.12360294, 0.11331709, 0.09724733, 0.08644956, 0.10008331]),\n",
       "  array([0.02724822, 0.21933227, 0.09090381, 0.07054917, 0.16363807,\n",
       "         0.06534727, 0.18830639, 0.10393337, 0.00449502, 0.0662464 ]),\n",
       "  array([0.00339818, 0.03346728, 0.14855408, 0.00374776, 0.05142814,\n",
       "         0.02866233, 0.13963894, 0.148451  , 0.24814065, 0.19451164]),\n",
       "  array([0.11441736, 0.16228691, 0.16369027, 0.11939081, 0.06537214,\n",
       "         0.06341706, 0.04869061, 0.10505632, 0.05918199, 0.09849653]),\n",
       "  array([0.15556748, 0.04359546, 0.18728579, 0.22229878, 0.05273261,\n",
       "         0.02155739, 0.12461588, 0.0067511 , 0.10434636, 0.08124914]),\n",
       "  array([0.03619005, 0.12152378, 0.12914367, 0.0150112 , 0.10306795,\n",
       "         0.15013288, 0.0711185 , 0.09565302, 0.11592889, 0.16223006]),\n",
       "  array([0.10118334, 0.09722712, 0.12772098, 0.15870107, 0.00192177,\n",
       "         0.12724862, 0.09483868, 0.075258  , 0.05503978, 0.16086063]),\n",
       "  array([0.12325552, 0.15530553, 0.06301428, 0.10556461, 0.04040061,\n",
       "         0.07828489, 0.17919885, 0.07045415, 0.11636746, 0.0681541 ]),\n",
       "  array([0.13072725, 0.04838575, 0.03187147, 0.1641489 , 0.09345716,\n",
       "         0.14755637, 0.04571186, 0.03977819, 0.13671511, 0.16164793]),\n",
       "  array([0.09456224, 0.12304579, 0.18290357, 0.06998298, 0.08748492,\n",
       "         0.00035538, 0.05533235, 0.15871988, 0.17519149, 0.0524214 ]),\n",
       "  array([0.11763426, 0.09015458, 0.07226907, 0.03077169, 0.04906196,\n",
       "         0.04391743, 0.00646344, 0.20447052, 0.21696193, 0.16829512]),\n",
       "  array([0.01947536, 0.21445436, 0.15332044, 0.08369579, 0.09133823,\n",
       "         0.06318076, 0.07935568, 0.00855761, 0.09871251, 0.18790925]),\n",
       "  array([0.01954313, 0.1057954 , 0.14211998, 0.10205562, 0.02537351,\n",
       "         0.08077827, 0.07445787, 0.17365862, 0.15240766, 0.12380993]),\n",
       "  array([0.13063431, 0.11519115, 0.09204267, 0.08236963, 0.00445579,\n",
       "         0.19813088, 0.05832531, 0.1406699 , 0.14550316, 0.0326772 ]),\n",
       "  array([0.00354964, 0.02951733, 0.07445808, 0.05167512, 0.1947464 ,\n",
       "         0.16237697, 0.2173365 , 0.21781361, 0.01713006, 0.03139629]),\n",
       "  array([0.03027053, 0.07361523, 0.20312647, 0.05855355, 0.18253816,\n",
       "         0.02231832, 0.02018821, 0.2225693 , 0.16339618, 0.02342406]),\n",
       "  array([0.1070913 , 0.04458635, 0.0390522 , 0.00320553, 0.13968435,\n",
       "         0.11272806, 0.18188654, 0.08741626, 0.09473145, 0.18961796]),\n",
       "  array([0.10103511, 0.16625736, 0.01296846, 0.13540505, 0.03846024,\n",
       "         0.17124302, 0.08779655, 0.02189287, 0.17998251, 0.08495884]),\n",
       "  array([0.12778522, 0.13022364, 0.07081451, 0.08477244, 0.02225429,\n",
       "         0.12793255, 0.07693768, 0.13727809, 0.08916855, 0.13283303]),\n",
       "  array([0.02468086, 0.00623815, 0.13479412, 0.03366401, 0.05329498,\n",
       "         0.17217011, 0.09538136, 0.1839559 , 0.0818803 , 0.21394022]),\n",
       "  array([0.09125903, 0.17568094, 0.18939704, 0.06488077, 0.14536487,\n",
       "         0.01409107, 0.07531686, 0.05189531, 0.02796838, 0.16414574]),\n",
       "  array([0.01041961, 0.04005156, 0.22637945, 0.18824287, 0.0585903 ,\n",
       "         0.09865614, 0.1225495 , 0.15091299, 0.10188006, 0.00231753]),\n",
       "  array([0.06719206, 0.11792114, 0.03818403, 0.18640041, 0.14562609,\n",
       "         0.10106795, 0.03718945, 0.10937179, 0.0996435 , 0.09740358]),\n",
       "  array([0.21334376, 0.0791748 , 0.07895612, 0.18476645, 0.10109907,\n",
       "         0.01107513, 0.01172988, 0.09166299, 0.17596858, 0.05222322]),\n",
       "  array([0.01510338, 0.11004916, 0.04060282, 0.08821248, 0.09971648,\n",
       "         0.14835946, 0.14287708, 0.10576072, 0.10333922, 0.14597921]),\n",
       "  array([0.09752622, 0.08735422, 0.11635446, 0.01935814, 0.07299246,\n",
       "         0.15985592, 0.12710143, 0.14391899, 0.11378494, 0.06175322]),\n",
       "  array([0.14674995, 0.21554028, 0.06307164, 0.02938145, 0.07896813,\n",
       "         0.09736701, 0.01248601, 0.20274697, 0.07551892, 0.07816964]),\n",
       "  array([0.01183367, 0.18728463, 0.1080821 , 0.09981059, 0.05047916,\n",
       "         0.15003759, 0.17213022, 0.17033782, 0.00282536, 0.04717888]),\n",
       "  array([0.06447942, 0.15659641, 0.09840928, 0.15067365, 0.13449707,\n",
       "         0.12068021, 0.03485485, 0.11905776, 0.0171442 , 0.10360716]),\n",
       "  array([0.03716103, 0.1160668 , 0.09198712, 0.03053264, 0.07247163,\n",
       "         0.06976698, 0.14237335, 0.15408384, 0.1360629 , 0.14949371]),\n",
       "  array([0.13717998, 0.09462594, 0.06877944, 0.11953559, 0.05214107,\n",
       "         0.08121178, 0.14741028, 0.13706725, 0.00584902, 0.15619965]),\n",
       "  array([0.11388324, 0.02351068, 0.1425758 , 0.12363677, 0.01817149,\n",
       "         0.16261272, 0.090796  , 0.10726321, 0.12523824, 0.09231184]),\n",
       "  array([0.07550694, 0.01460003, 0.18852363, 0.16529756, 0.1154995 ,\n",
       "         0.17218856, 0.12361461, 0.03506454, 0.02368628, 0.08601834]),\n",
       "  array([0.09273611, 0.16037267, 0.14517392, 0.10676886, 0.15454046,\n",
       "         0.13052907, 0.02725201, 0.00038951, 0.13917739, 0.04306   ]),\n",
       "  array([0.19461281, 0.12689843, 0.05582368, 0.09722762, 0.00350825,\n",
       "         0.12041241, 0.10735588, 0.04173473, 0.07518071, 0.17724548]),\n",
       "  array([0.11805256, 0.14526926, 0.14929163, 0.11558672, 0.16295437,\n",
       "         0.04089627, 0.02731225, 0.04723954, 0.05767066, 0.13572675]),\n",
       "  array([0.03054918, 0.20066198, 0.11284911, 0.06434233, 0.14531861,\n",
       "         0.14605817, 0.15474495, 0.09210807, 0.01100616, 0.04236144]),\n",
       "  array([0.1598609 , 0.00303446, 0.23397498, 0.08509207, 0.01643709,\n",
       "         0.20972114, 0.05886385, 0.198971  , 0.01680086, 0.01724364]),\n",
       "  array([0.03312874, 0.16501136, 0.05619043, 0.1463803 , 0.01585923,\n",
       "         0.09733121, 0.13424833, 0.09731644, 0.13642614, 0.11810781]),\n",
       "  array([0.11959112, 0.12236722, 0.11386398, 0.0021327 , 0.18452005,\n",
       "         0.0375451 , 0.00564865, 0.14977026, 0.16405733, 0.10050359]),\n",
       "  array([0.05869611, 0.17777961, 0.05465687, 0.17727394, 0.02557165,\n",
       "         0.17963019, 0.12261223, 0.03442747, 0.12225303, 0.0470989 ]),\n",
       "  array([0.17458039, 0.01563458, 0.17207016, 0.1297119 , 0.10162706,\n",
       "         0.16671116, 0.06313341, 0.04535872, 0.03282031, 0.09835231]),\n",
       "  array([0.00052453, 0.0943072 , 0.15305173, 0.08424763, 0.06450369,\n",
       "         0.13511845, 0.02461363, 0.17602131, 0.08815584, 0.17945598]),\n",
       "  array([0.12603487, 0.00688991, 0.199336  , 0.06568168, 0.03260236,\n",
       "         0.09095494, 0.07344767, 0.07754514, 0.18629876, 0.14120868]),\n",
       "  array([0.12571268, 0.16008634, 0.16930645, 0.05294073, 0.03076948,\n",
       "         0.06215566, 0.14808471, 0.08710156, 0.04788123, 0.11596118]),\n",
       "  array([0.13913776, 0.11392749, 0.15159416, 0.10814401, 0.08213059,\n",
       "         0.09628336, 0.04754647, 0.14618142, 0.03313402, 0.08192072]),\n",
       "  array([0.09507748, 0.16772533, 0.06354574, 0.17248826, 0.13959401,\n",
       "         0.02204625, 0.0120851 , 0.05318857, 0.16238243, 0.11186682]),\n",
       "  array([0.12190217, 0.1308274 , 0.03416563, 0.09935534, 0.14213961,\n",
       "         0.08859097, 0.12983741, 0.07693595, 0.08856916, 0.08767638]),\n",
       "  array([0.08561241, 0.12118613, 0.02628895, 0.09426798, 0.13458164,\n",
       "         0.11994748, 0.14631665, 0.13105754, 0.02027591, 0.12046531]),\n",
       "  array([0.02339779, 0.10927221, 0.14255586, 0.0887832 , 0.15033091,\n",
       "         0.04444287, 0.11205154, 0.24265337, 0.07740259, 0.00910966]),\n",
       "  array([0.1576034 , 0.00958861, 0.10096699, 0.03574661, 0.16898111,\n",
       "         0.07712827, 0.14783573, 0.08265144, 0.20464311, 0.01485472]),\n",
       "  array([0.1345882 , 0.08328728, 0.18162339, 0.05439143, 0.20791894,\n",
       "         0.01417411, 0.0126943 , 0.04902639, 0.17538242, 0.08691355]),\n",
       "  array([0.06768437, 0.08149234, 0.0154155 , 0.01368895, 0.11360931,\n",
       "         0.17214508, 0.16551215, 0.13712132, 0.05243219, 0.18089879]),\n",
       "  array([0.10473937, 0.11366416, 0.02150826, 0.02532502, 0.15691526,\n",
       "         0.16675391, 0.06053423, 0.14251421, 0.05190762, 0.15613795]),\n",
       "  array([0.0702529 , 0.12158896, 0.01708354, 0.10308947, 0.11605567,\n",
       "         0.13762851, 0.15780127, 0.09201959, 0.04635708, 0.13812302]),\n",
       "  array([0.0856405 , 0.04818082, 0.18370091, 0.16371932, 0.01789231,\n",
       "         0.09575315, 0.13708798, 0.08033576, 0.02707677, 0.16061249]),\n",
       "  array([0.1829875 , 0.00617127, 0.0866992 , 0.06234008, 0.17560853,\n",
       "         0.00109595, 0.0996297 , 0.1064493 , 0.14316813, 0.13585034]),\n",
       "  array([0.20976689, 0.14825004, 0.08998317, 0.16387746, 0.09628825,\n",
       "         0.09981776, 0.11122325, 0.04520749, 0.03085053, 0.00473516]),\n",
       "  array([0.07033653, 0.21409262, 0.05819003, 0.04492832, 0.15939982,\n",
       "         0.05225937, 0.08372348, 0.15021292, 0.09562012, 0.07123678]),\n",
       "  array([0.02580838, 0.18048415, 0.05646496, 0.09481603, 0.21296758,\n",
       "         0.14222037, 0.0077524 , 0.0479522 , 0.19910466, 0.03242927]),\n",
       "  array([0.06693759, 0.09574839, 0.13579457, 0.13789446, 0.1429797 ,\n",
       "         0.08017102, 0.1173397 , 0.06325437, 0.11396485, 0.04591536]),\n",
       "  array([0.00325109, 0.0629517 , 0.08144168, 0.04239534, 0.2152087 ,\n",
       "         0.04476717, 0.15130753, 0.19182483, 0.07199231, 0.13485964]),\n",
       "  array([0.02497849, 0.11377096, 0.15588691, 0.05031175, 0.05667975,\n",
       "         0.21930595, 0.04796488, 0.12162578, 0.17495673, 0.0345188 ]),\n",
       "  array([0.13896426, 0.12962816, 0.13595886, 0.14141295, 0.01988289,\n",
       "         0.10687071, 0.02918187, 0.06933407, 0.1398342 , 0.08893203]),\n",
       "  array([0.04511264, 0.16409872, 0.12513279, 0.08030872, 0.115136  ,\n",
       "         0.14584959, 0.05022568, 0.09121343, 0.01598998, 0.16693245]),\n",
       "  array([0.13598487, 0.125753  , 0.14567436, 0.14849758, 0.1083769 ,\n",
       "         0.07011086, 0.02890946, 0.02208473, 0.07977866, 0.13482958]),\n",
       "  array([0.19815277, 0.05131002, 0.18528587, 0.02941228, 0.16854054,\n",
       "         0.09860819, 0.10036903, 0.03055136, 0.07382056, 0.06394939]),\n",
       "  array([0.13874657, 0.16061294, 0.08866173, 0.15594828, 0.15120205,\n",
       "         0.07745371, 0.01092297, 0.11971758, 0.06229314, 0.03444103]),\n",
       "  array([0.01898497, 0.15886939, 0.11800899, 0.05823341, 0.11206945,\n",
       "         0.05093933, 0.07073296, 0.13097657, 0.16916391, 0.11202103]),\n",
       "  array([0.15442807, 0.00721706, 0.21907095, 0.07940714, 0.01148035,\n",
       "         0.0163698 , 0.18603369, 0.18535559, 0.12838489, 0.01225247]),\n",
       "  array([0.0940945 , 0.05867334, 0.17320409, 0.10468377, 0.12631731,\n",
       "         0.10068949, 0.08404192, 0.10051912, 0.15259958, 0.00517688]),\n",
       "  array([0.03690081, 0.06228943, 0.15270165, 0.01934089, 0.11840859,\n",
       "         0.05659145, 0.12249985, 0.14612596, 0.11860443, 0.16653695]),\n",
       "  array([0.13725639, 0.12413357, 0.05417657, 0.15378455, 0.1373045 ,\n",
       "         0.02662861, 0.04074978, 0.0565897 , 0.19859425, 0.07078208]),\n",
       "  array([0.00024886, 0.12277678, 0.06833462, 0.18226781, 0.07094125,\n",
       "         0.10124819, 0.10912623, 0.11561579, 0.0419121 , 0.18752838]),\n",
       "  array([0.13417585, 0.10528632, 0.12577097, 0.06109106, 0.12187132,\n",
       "         0.12281615, 0.08452417, 0.0254268 , 0.1133611 , 0.10567625]),\n",
       "  array([0.09540867, 0.13855974, 0.10742137, 0.11679047, 0.04912956,\n",
       "         0.07873237, 0.11470939, 0.0796641 , 0.11655237, 0.10303197]),\n",
       "  array([0.01084668, 0.00806143, 0.13779313, 0.12989571, 0.10821313,\n",
       "         0.16125487, 0.13672664, 0.05267279, 0.21549974, 0.03903587]),\n",
       "  array([0.13123323, 0.1338201 , 0.10664667, 0.14468932, 0.0594127 ,\n",
       "         0.13155238, 0.1323422 , 0.07713786, 0.08239223, 0.00077331]),\n",
       "  array([0.1618527 , 0.06995308, 0.07342391, 0.04812971, 0.13438239,\n",
       "         0.08749294, 0.11117963, 0.0433962 , 0.10590611, 0.16428333]),\n",
       "  array([0.12642217, 0.15499987, 0.05829278, 0.12701526, 0.13261616,\n",
       "         0.01590745, 0.09656618, 0.09138533, 0.05416107, 0.14263373]),\n",
       "  array([0.06525563, 0.11816035, 0.03531956, 0.16366973, 0.14404474,\n",
       "         0.07490963, 0.12290961, 0.08089062, 0.01168889, 0.18315123]),\n",
       "  array([0.06366986, 0.02597237, 0.08308178, 0.15586593, 0.10442044,\n",
       "         0.12179229, 0.02179521, 0.14910569, 0.15507038, 0.11922605]),\n",
       "  array([0.09125796, 0.13058806, 0.05078256, 0.15175965, 0.00120691,\n",
       "         0.1225246 , 0.14735933, 0.02876947, 0.2121847 , 0.06356675]),\n",
       "  array([0.16074211, 0.22915494, 0.01563745, 0.21055055, 0.13449458,\n",
       "         0.04474221, 0.05765567, 0.08073622, 0.02371057, 0.0425757 ]),\n",
       "  array([0.11224742, 0.18496549, 0.11958088, 0.19050752, 0.16556244,\n",
       "         0.08615729, 0.07037013, 0.03488126, 0.02855108, 0.00717648]),\n",
       "  array([0.15559073, 0.10300061, 0.09884088, 0.11626713, 0.15183281,\n",
       "         0.03124157, 0.08173175, 0.11795721, 0.01391231, 0.129625  ]),\n",
       "  array([0.06555335, 0.11568129, 0.1392285 , 0.19010071, 0.15670193,\n",
       "         0.01284137, 0.10945171, 0.09023529, 0.01636616, 0.10383969]),\n",
       "  array([0.10350871, 0.04563025, 0.16072181, 0.01090945, 0.16133701,\n",
       "         0.15412885, 0.06254707, 0.09636372, 0.10113412, 0.10371903]),\n",
       "  array([0.12288421, 0.08772539, 0.0915363 , 0.05192214, 0.06190901,\n",
       "         0.14948191, 0.17558794, 0.12574011, 0.07460812, 0.05860486]),\n",
       "  array([0.05543656, 0.03867043, 0.15795629, 0.16091069, 0.12273018,\n",
       "         0.1451448 , 0.06578475, 0.08124772, 0.10598837, 0.06613021]),\n",
       "  array([0.13274345, 0.14103761, 0.09883075, 0.01011622, 0.03988299,\n",
       "         0.19973453, 0.11873363, 0.08602132, 0.15047703, 0.02242247]),\n",
       "  array([0.08135671, 0.15948267, 0.10792297, 0.17243893, 0.16491349,\n",
       "         0.14485155, 0.10309751, 0.01990918, 0.0116734 , 0.03435359]),\n",
       "  array([0.13771123, 0.04539722, 0.16716912, 0.05270206, 0.14301033,\n",
       "         0.16432965, 0.10532415, 0.08251044, 0.05282032, 0.04902547]),\n",
       "  array([0.14604566, 0.01435808, 0.15124753, 0.02325494, 0.19009471,\n",
       "         0.07629554, 0.02094505, 0.16223014, 0.1357229 , 0.07980545]),\n",
       "  array([0.10331619, 0.18282238, 0.04315985, 0.04248934, 0.18921927,\n",
       "         0.01926433, 0.12470358, 0.08182598, 0.11104701, 0.10215206]),\n",
       "  ...])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "number_assets = len(assets.columns)\n",
    "Rf = .015\n",
    "weight_log=[]\n",
    "port_info = np.zeros((3,25000))\n",
    "for x in range(25000):   \n",
    "    weights = np.random.random(number_assets)\n",
    "    weights /= np.sum(weights)\n",
    "    weight_log.append(weights)\n",
    "    pret = np.sum(weights*log_returns.mean())*252\n",
    "    pvol = np.sqrt(np.dot(weights.T,np.dot(log_returns.cov()*252, weights)))\n",
    "    port_info[0,x] = pvol\n",
    "    port_info[1,x] = pret\n",
    "    port_info[2,x] =(pret - Rf)/pvol\n",
    "    \n",
    "port_info,weight_log "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(            GOOGL    FB   NFLX   AMZN  BBBY  COST  DLTR  FOX  Gold    PEP\n",
       " allocation  24.66  6.59  21.83  23.14  0.38  1.03  7.17  0.2  0.22  14.78,\n",
       "             GOOGL     FB  NFLX  AMZN  BBBY   COST  DLTR    FOX  Gold    PEP\n",
       " allocation   1.98  11.56   0.1  4.54  5.71  12.84  9.87  15.71  9.19  28.49)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max_sharpe_idx = np.argmax(port_info[2])\n",
    "sdp, rp = port_info[0,max_sharpe_idx], port_info[1,max_sharpe_idx]\n",
    "max_sharpe_allocation = pd.DataFrame(weight_log[max_sharpe_idx],index=returns.columns,columns=['allocation'])\n",
    "max_sharpe_allocation.allocation = [round(i*100,2)for i in max_sharpe_allocation.allocation]\n",
    "max_sharpe_allocation = max_sharpe_allocation.T\n",
    "\n",
    "min_vol_idx = np.argmin(port_info[0])\n",
    "sdp_min, rp_min = port_info[0,min_vol_idx], port_info[1,min_vol_idx]\n",
    "min_vol_allocation = pd.DataFrame(weight_log[min_vol_idx],index=returns.columns,columns=['allocation'])\n",
    "min_vol_allocation.allocation = [round(i*100,2)for i in min_vol_allocation.allocation]\n",
    "min_vol_allocation = min_vol_allocation.T\n",
    "\n",
    "max_sharpe_allocation,min_vol_allocation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jQ6nn/asMHXVt+yYlLF0K73539+1C2Pu60jR45RV7X1f9vb5OIZFI0glJKm3i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sqG4NaFDdlfwdgtkMpTW4+QAiccQjVkZwnPzATvjBSglG8MToG8XeFgrMYKtc6zRkVSraNqdewl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XMnmxNqRm43RAVRqwzs5ru2X9NeQrS2AyZSY2nSQyXoIF1AdjtqSyhYRtcznqLIKoCQZkwP7k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\nSFkHAqVEicUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3fde9f6940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 7))\n",
    "plt.scatter(port_info[0,:],port_info[1,:],c=port_info[2,:],cmap='Spectral', marker='o', s=10, alpha=0.3)\n",
    "plt.colorbar(label='Sharpe Ratio')\n",
    "plt.scatter(sdp,rp,marker='*',color='b',s=500, label='Maximum Sharpe ratio')\n",
    "plt.scatter(sdp_min,rp_min,marker='*',color='r',s=500, label='Minimum volatility')\n",
    "plt.title('Portfolio Optimization - Efficient Frontier')\n",
    "plt.grid(True)\n",
    "plt.xlabel('Annualized Volatility')\n",
    "plt.ylabel('Annualized Returns')\n",
    "plt.legend(labelspacing=0.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "    "
   ]
  }
 ],
 "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",
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