Portfolio_Optimization_Using_GA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Portfolio optimization using Genetic Algorithm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Author: Naresh Elugala"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Background : \n",
    "   \n",
    "   **Portfolio optimization** is one of the most interesting fields of study of financial mathematics. Since the birth of Modern Portfolio Theory (MPT) by Harry Markowitz, many scientists have studied a lot of analytical and numerical methods to build the best investment portfolio according to a defined set of assets. The power of genetic algorithms makes it possible to find the optimal portfolio.\n",
    "In dealing with this Optimization problem, Harry Markowitz 1959 developed a quantitative model, also called **mean-variance model**. The mean-variance model has been usually considered as either the minimization of an objective function representing the portfolio variance (risk) for a given level of return or the maximization of an objective function representing the portfolio return for a given level of risk.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem Statement: \n",
    "   Let’s say we have selected N financial assets we want to invest in. They can be stock, funds, bonds, ETF etc. Each one of them has many historical returns, that is the price relative difference from one period to another. Periods can be days, weeks, months and so on. Build an investment portfolio with a  mix of many assets (They can be stock, funds, bonds, ETF) together allocating a fraction x of total  capital to each one of them. Each fraction is called weight.  The goal of portfolio optimization is to find the values of the weights that Maximize returns and minimize risk simultaneously of our portfolio under some constraints. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Given Data:\n",
    "Monthly Closing Stock values of HDFC, ITC, L&T, M&M, Sun Pharma and TCS from June 2015 to June 2018."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Approach and Tasks:\n",
    "\n",
    "1. Read the data and combine them into one dataframe.\n",
    "2. Calculate the historical returns for 3 months, 6 months, 12 months, 24 months and 36 months for each of the stocks.\n",
    "3. Define **Gene** (Scalar): A fraction of the total capital assigned to a stock.\n",
    "4. Define **Chromosome** (1D Array): Set of genes i.e. fractions of total capital assigned to each stock.\n",
    "        Check! Sum of each chromosome should be equal to 1.\n",
    "5. Generate **Initial Population** (2D Array): A set of randomly generated chromosomes.\n",
    "6. **Fitness function** (Define a Function): \n",
    "The **Sharpe ratio**, S, is a measure for quantifying the performance (Fitness) of the portfolio which works on \"Maximisation of return (mean) and minimisation of risk (Variance) simultaneously\" and is computed as\n",
    "follows:\n",
    "                \n",
    "                S = (µ − r)/σ\n",
    "    \n",
    "    Here µ is the return of the portfolio over a specified period or Mean portfolio return, \n",
    "         r is the risk-free rate over the same period and \n",
    "         σ is the standard deviation of the returns over the specified period or Standard deviation of portfolio return.\n",
    "\n",
    "      \n",
    "    Mean portfolio return = Mean Return * Fractions of Total Capital (Chromosome).\n",
    "    Risk-free rate = 0.0697 ( as per google)\n",
    "    Standard deviation of portfolio return = (chromosome * Standard deviation)**2 + Covariance * Respective weights in chromosome.\n",
    "    \n",
    "7. Select **Elite Population** (Define a Function): It filters the elite chromosomes which have highest returns, which was calculated in fitness function.\n",
    "    \n",
    "8. **Mutation**: A function that will perform mutation in a chromosome. Randomly we shall choose 2 numbers between 0, 5 and those elements we shall swap.\n",
    "\n",
    "9. Crossover: **Heuristic crossover** or **Blend Crossover** uses the ﬁtness values of two parent chromosomes to ascertain the direction of the search. It moves from worst parent to best parent. \n",
    "The oﬀspring are created according to the equation:\n",
    "            Off_spring A = Best Parent  + β ∗ ( Best Parent − Worst Parent)\n",
    "            Off_spring B = Worst Parent - β ∗ ( Best Parent − Worst Parent)\n",
    "                Where β is a random number between 0 and 1.\n",
    "This crossover type is good for real-valued genomes.\n",
    "\n",
    "10. **Next Generation** (define a Function): A function which does mutation,mating or crossover based on a probability and builds a new generation of chromosomes.\n",
    "    \n",
    "11. **Iterate the process**: Iterate the whole process till their is no change in maximum returns or for fixed number of iterations. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### References:\n",
    "1. https://www.researchgate.net/publication/286952225_A_heuristic_crossover_for_portfolio_selection\n",
    "2. https://pdfs.semanticscholar.org/9888/061ea3326ff9b41c807ed21f0c10463b7879.pdf\n",
    "3. https://www.math.kth.se/matstat/seminarier/reports/M-exjobb12/121008.pdf\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Pre-requisite tasks:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from functools import reduce"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #1:\n",
    "#### Read the data and combine them into one dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(37, 7)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>hdfc</th>\n",
       "      <th>itc</th>\n",
       "      <th>l&amp;t</th>\n",
       "      <th>m&amp;m</th>\n",
       "      <th>sunpha</th>\n",
       "      <th>tcs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>June 2018</td>\n",
       "      <td>2108.05</td>\n",
       "      <td>266.05</td>\n",
       "      <td>1271.3</td>\n",
       "      <td>896.80</td>\n",
       "      <td>560.55</td>\n",
       "      <td>1847.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>May 2018</td>\n",
       "      <td>2136.15</td>\n",
       "      <td>271.60</td>\n",
       "      <td>1367.6</td>\n",
       "      <td>923.50</td>\n",
       "      <td>480.15</td>\n",
       "      <td>1744.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Apr 2018</td>\n",
       "      <td>1944.60</td>\n",
       "      <td>281.45</td>\n",
       "      <td>1400.6</td>\n",
       "      <td>872.65</td>\n",
       "      <td>528.15</td>\n",
       "      <td>1765.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Mar 2018</td>\n",
       "      <td>1891.45</td>\n",
       "      <td>255.90</td>\n",
       "      <td>1311.9</td>\n",
       "      <td>740.20</td>\n",
       "      <td>495.40</td>\n",
       "      <td>1424.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Feb 2018</td>\n",
       "      <td>1883.80</td>\n",
       "      <td>265.10</td>\n",
       "      <td>1319.1</td>\n",
       "      <td>728.75</td>\n",
       "      <td>535.35</td>\n",
       "      <td>1519.13</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date     hdfc     itc     l&t     m&m  sunpha      tcs\n",
       "0  June 2018  2108.05  266.05  1271.3  896.80  560.55  1847.20\n",
       "1   May 2018  2136.15  271.60  1367.6  923.50  480.15  1744.80\n",
       "2   Apr 2018  1944.60  281.45  1400.6  872.65  528.15  1765.70\n",
       "3   Mar 2018  1891.45  255.90  1311.9  740.20  495.40  1424.65\n",
       "4   Feb 2018  1883.80  265.10  1319.1  728.75  535.35  1519.13"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "files=['hdfc.csv','itc.csv','l&t.csv','m&m.csv','sunpha.csv','tcs.csv']\n",
    "dfs=[]\n",
    "\n",
    "for file in files:\n",
    "    temp=pd.read_csv(file)\n",
    "    temp.columns=['Date',file.replace('.csv','')]\n",
    "    dfs.append(temp)\n",
    "\n",
    "stocks = reduce(lambda left,right: pd.merge(left,right,on='Date'), dfs)\n",
    "print(stocks.shape)\n",
    "stocks.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #2:\n",
    "#### Calculate the historical returns for 3 months, 6 months, 12 months, 24 months and 36 months for each of the stock.\n",
    "\n",
    "**Stock Return**:\n",
    "The formula for the total stock return is the appreciation in the price plus any dividends paid, divided by the original price of the stock.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def hist_return(months):\n",
    "    ''' It calculates Stock returns for various months and returns a dataframe.\n",
    "        Input: Months in the form of a list.\n",
    "        Output: Historical returns in the form of a DataFrame. '''\n",
    "    idx=[]\n",
    "    df=pd.DataFrame()\n",
    "    for mon in months:\n",
    "        temp=(stocks.iloc[0,1:] - stocks.iloc[mon,1:])/(stocks.iloc[mon,1:])\n",
    "        idx.append(str(mon)+'_mon_return')\n",
    "        df=pd.concat([df, temp.to_frame().T], ignore_index=True)\n",
    "    df.index=idx\n",
    "    return df    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>hdfc</th>\n",
       "      <th>itc</th>\n",
       "      <th>l&amp;t</th>\n",
       "      <th>m&amp;m</th>\n",
       "      <th>sunpha</th>\n",
       "      <th>tcs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3_mon_return</th>\n",
       "      <td>0.114515</td>\n",
       "      <td>0.0396639</td>\n",
       "      <td>-0.0309475</td>\n",
       "      <td>0.211564</td>\n",
       "      <td>0.13151</td>\n",
       "      <td>0.296599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6_mon_return</th>\n",
       "      <td>0.125163</td>\n",
       "      <td>0.0112125</td>\n",
       "      <td>0.0114165</td>\n",
       "      <td>0.194062</td>\n",
       "      <td>-0.0179573</td>\n",
       "      <td>0.368094</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12_mon_return</th>\n",
       "      <td>0.275866</td>\n",
       "      <td>-0.178478</td>\n",
       "      <td>0.129783</td>\n",
       "      <td>0.330899</td>\n",
       "      <td>0.0109107</td>\n",
       "      <td>0.562537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24_mon_return</th>\n",
       "      <td>0.792712</td>\n",
       "      <td>0.0842367</td>\n",
       "      <td>0.274461</td>\n",
       "      <td>0.255179</td>\n",
       "      <td>-0.265911</td>\n",
       "      <td>0.44833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36_mon_return</th>\n",
       "      <td>0.974847</td>\n",
       "      <td>0.266844</td>\n",
       "      <td>0.0696137</td>\n",
       "      <td>0.399938</td>\n",
       "      <td>-0.358785</td>\n",
       "      <td>0.447535</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   hdfc        itc        l&t       m&m     sunpha       tcs\n",
       "3_mon_return   0.114515  0.0396639 -0.0309475  0.211564    0.13151  0.296599\n",
       "6_mon_return   0.125163  0.0112125  0.0114165  0.194062 -0.0179573  0.368094\n",
       "12_mon_return  0.275866  -0.178478   0.129783  0.330899  0.0109107  0.562537\n",
       "24_mon_return  0.792712  0.0842367   0.274461  0.255179  -0.265911   0.44833\n",
       "36_mon_return  0.974847   0.266844  0.0696137  0.399938  -0.358785  0.447535"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hist_stock_returns=hist_return([3,6,12,24,36])\n",
    "hist_stock_returns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #3:\n",
    "Define **Gene** (Scalar): A fraction of the total capital assigned to a stock. Lets address them as weights.\n",
    "\n",
    "    Gene can be a fractional value between 0 to 1, such as 0.32 of HDFC or 0.21 of ITC or 0.56 of TCS."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.47865763414205487"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gene = np.random.rand()\n",
    "gene"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "def gen_mc_grid(rows, cols, n, N):  # , xfname): generate monte carlo wind farm layout grids\n",
    "        np.random.seed(seed=int(time.time()))  # init random seed\n",
    "        layouts = np.zeros((n, rows * cols), dtype=np.int32)  # one row is a layout\n",
    "        # layouts_cr = np.zeros((n*, 2), dtype=np.float32)  # layouts column row index\n",
    "        positionX = np.random.randint(0, cols, size=(N * n * 2))\n",
    "        positionY = np.random.randint(0, rows, size=(N * n * 2))\n",
    "        ind_rows = 0  # index of layouts from 0 to n-1\n",
    "        ind_pos = 0  # index of positionX, positionY from 0 to N*n*2-1\n",
    "        # ind_crs = 0\n",
    "        while ind_rows < n:\n",
    "            layouts[ind_rows, positionX[ind_pos] + positionY[ind_pos] * cols] = 1\n",
    "            if np.sum(layouts[ind_rows, :]) == N:\n",
    "                # for ind in range(rows * cols):\n",
    "                #     if layouts[ind_rows, ind] == 1:\n",
    "                #         r_i = np.floor(ind / cols)\n",
    "                #         c_i = np.floor(ind - r_i * cols)\n",
    "                #         layouts_cr[ind_crs, 0] = c_i\n",
    "                #         layouts_cr[ind_crs, 1] = r_i\n",
    "                #         ind_crs += 1\n",
    "                ind_rows += 1\n",
    "            ind_pos += 1\n",
    "            if ind_pos >= N * n * 2:\n",
    "                print(\"Not enough positions\")\n",
    "                break\n",
    "        # filename = \"positions{}by{}by{}N{}.dat\".format(rows, cols, n, N)\n",
    "#         np.savetxt(lofname, layouts, fmt='%d', delimiter=\"  \")\n",
    "        # np.savetxt(xfname, layouts_cr, fmt='%d', delimiter=\"  \")\n",
    "        return layouts\n",
    "\n",
    "def gen_mc_grid_with_NA_loc(rows, cols, n, N,NA_loc):  # , xfname): generate monte carlo wind farm layout grids\n",
    "        np.random.seed(seed=int(time.time()))  # init random seed\n",
    "        layouts = np.zeros((n, rows * cols), dtype=np.int32)  # one row is a layout, NA loc is 0\n",
    "\n",
    "        layouts_NA= np.zeros((n, rows * cols), dtype=np.int32)  # one row is a layout, NA loc is 2\n",
    "        for i in NA_loc:\n",
    "            layouts_NA[:,i-1]=2\n",
    "\n",
    "        # layouts_cr = np.zeros((n*, 2), dtype=np.float32)  # layouts column row index\n",
    "        positionX = np.random.randint(0, cols, size=(N * n * 2))\n",
    "        positionY = np.random.randint(0, rows, size=(N * n * 2))\n",
    "        ind_rows = 0  # index of layouts from 0 to n-1\n",
    "        ind_pos = 0  # index of positionX, positionY from 0 to N*n*2-1\n",
    "        # ind_crs = 0\n",
    "        N_count=0\n",
    "        while ind_rows < n:\n",
    "            cur_state=layouts_NA[ind_rows, positionX[ind_pos] + positionY[ind_pos] * cols]\n",
    "            if cur_state!=1 and cur_state!=2:\n",
    "                layouts[ind_rows, positionX[ind_pos] + positionY[ind_pos] * cols]=1\n",
    "                layouts_NA[ind_rows, positionX[ind_pos] + positionY[ind_pos] * cols] = 1\n",
    "                N_count+=1\n",
    "                if np.sum(layouts[ind_rows, :]) == N:\n",
    "                    ind_rows += 1\n",
    "                    N_count=0\n",
    "            ind_pos += 1\n",
    "            if ind_pos >= N * n * 2:\n",
    "                print(\"Not enough positions\")\n",
    "                break\n",
    "        # filename = \"positions{}by{}by{}N{}.dat\".format(rows, cols, n, N)\n",
    "#         np.savetxt(lofname, layouts, fmt='%d', delimiter=\"  \")\n",
    "#         np.savetxt(loNAfname, layouts_NA, fmt='%d', delimiter=\"  \")\n",
    "        # np.savetxt(xfname, layouts_cr, fmt='%d', delimiter=\"  \")\n",
    "        return layouts,layouts_NA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Not enough positions\n",
      "Not enough positions\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(array([[0, 0, 0, ..., 1, 1, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0]]),\n",
       " array([[2, 2, 2, ..., 1, 1, 2],\n",
       "        [2, 2, 2, ..., 0, 0, 2],\n",
       "        [2, 2, 2, ..., 0, 0, 2],\n",
       "        ...,\n",
       "        [2, 2, 2, ..., 0, 0, 2],\n",
       "        [2, 2, 2, ..., 0, 0, 2],\n",
       "        [2, 2, 2, ..., 0, 0, 2]]))"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gen_mc_grid(5, 5, 100, 50)\n",
    "gen_mc_grid_with_NA_loc(5, 5, 100, 50,range(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tash #4:\n",
    "Define **Chromosome** (1D Array): Set of genes i.e. fractions of total capital assigned to each stock. Set of weights.\n",
    "\n",
    "Its a 1d Array of the fractional values of all the stocks such that sum of the array will not be over 1. \n",
    "As we have 6 company stocks, we shall generate 6 fractional values (genes) which constitues 1 chromosome.\n",
    "    \n",
    "**Why sum should be equal to 1?** As these are fraction of the total capital, we are assuming total capital to be 1 unit.\n",
    "    \n",
    "**How to make sure sum =1?** Just generate 6 random numbers and then calculate a factor which is 1 / [sum of random numbers]. Finally multiply each of the random numbers with that factor. The sum will be 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def chromosome(n):\n",
    "    ''' Generates set of random numbers whose sum is equal to 1\n",
    "        Input: Number of stocks.\n",
    "        Output: Array of random numbers'''\n",
    "    ch = np.random.rand(n)\n",
    "    return ch/sum(ch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.18847662 0.13161772 0.1005894  0.23775264 0.24674973 0.09481388] 0.9999999999999999\n"
     ]
    }
   ],
   "source": [
    "child=chromosome(6)\n",
    "print(child,sum(child))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #5:\n",
    "\n",
    "Generate **Initial Population** (2D Array): A set of randomly generated chromosomes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 6)\n",
      "[[0.14554317 0.05323605 0.04853585 0.31264573 0.41718254 0.02285666]\n",
      " [0.2875455  0.15549612 0.18128256 0.35049057 0.01685638 0.00832886]\n",
      " [0.18358573 0.0311423  0.24115086 0.25331826 0.14778547 0.14301738]\n",
      " [0.19170941 0.3109625  0.23224438 0.16223576 0.02116156 0.08168639]\n",
      " [0.09132046 0.17587005 0.17840903 0.22931073 0.19778628 0.12730344]\n",
      " [0.27210556 0.02034836 0.22920557 0.26601167 0.16859344 0.04373541]\n",
      " [0.19158213 0.19363595 0.0913293  0.21157745 0.20955971 0.10231545]\n",
      " [0.09823584 0.18393095 0.1716758  0.19055137 0.09588278 0.25972326]\n",
      " [0.05482614 0.30728054 0.11694934 0.03161965 0.3810014  0.10832293]\n",
      " [0.07712078 0.08899992 0.27130371 0.09590809 0.1524314  0.3142361 ]\n",
      " [0.26877779 0.2073808  0.00558867 0.08837378 0.28741677 0.14246218]\n",
      " [0.23455029 0.21513175 0.23756531 0.02242049 0.06430355 0.2260286 ]\n",
      " [0.00477431 0.08938275 0.02992419 0.34187952 0.25474779 0.27929145]\n",
      " [0.13604273 0.1303769  0.08181577 0.15101997 0.36454976 0.13619487]\n",
      " [0.13738522 0.09126552 0.02099414 0.35379056 0.25862782 0.13793674]\n",
      " [0.02105664 0.28951958 0.22564645 0.13453328 0.18999511 0.13924894]\n",
      " [0.14048195 0.04675475 0.1979553  0.35528917 0.25354955 0.00596929]\n",
      " [0.04495493 0.05539075 0.08766172 0.54085869 0.10245259 0.16868133]\n",
      " [0.08017893 0.28174477 0.12686962 0.09902667 0.2888117  0.12336831]\n",
      " [0.05521395 0.13231446 0.21162305 0.12171155 0.23815877 0.24097822]\n",
      " [0.29994139 0.15841693 0.10410905 0.03859763 0.34161311 0.05732189]\n",
      " [0.32798518 0.31599845 0.03812906 0.26703902 0.01989211 0.03095619]\n",
      " [0.14895869 0.13154365 0.20704113 0.22787941 0.11561857 0.16895856]\n",
      " [0.2124952  0.00537338 0.34586431 0.01619861 0.27652682 0.14354167]\n",
      " [0.32543875 0.05004455 0.17563102 0.09693795 0.28904253 0.06290519]\n",
      " [0.21531597 0.27618311 0.10660469 0.07813961 0.0416601  0.28209653]\n",
      " [0.20272243 0.12362874 0.20447167 0.1680801  0.24351141 0.05758565]\n",
      " [0.11858385 0.27499768 0.00685577 0.2600103  0.0763906  0.2631618 ]\n",
      " [0.17427196 0.25707112 0.03729132 0.15620698 0.12816757 0.24699106]\n",
      " [0.28540418 0.14219772 0.22621365 0.16428842 0.00327943 0.1786166 ]\n",
      " [0.21496615 0.30211244 0.19089379 0.06154392 0.09137658 0.13910713]\n",
      " [0.12315681 0.17090466 0.22872797 0.08970193 0.33256033 0.05494829]\n",
      " [0.0597774  0.18723614 0.38101539 0.05428921 0.25918622 0.05849565]\n",
      " [0.11307995 0.21129133 0.24515179 0.11139335 0.16232309 0.15676049]\n",
      " [0.22081556 0.1881529  0.08470946 0.15820165 0.28723399 0.06088645]\n",
      " [0.11913629 0.13621485 0.02920441 0.06233012 0.31866454 0.33444978]\n",
      " [0.08194255 0.02363042 0.23591121 0.22732013 0.23819223 0.19300346]\n",
      " [0.17019958 0.14578179 0.19929469 0.17609133 0.18490281 0.1237298 ]\n",
      " [0.31857498 0.26620727 0.11913318 0.01641991 0.03546377 0.2442009 ]\n",
      " [0.19169519 0.09891378 0.47562243 0.02344326 0.08384435 0.126481  ]\n",
      " [0.20195292 0.04403405 0.13943447 0.07404066 0.30341615 0.23712174]\n",
      " [0.1094013  0.17990346 0.13034037 0.20377784 0.19254488 0.18403215]\n",
      " [0.2312613  0.07673763 0.20125874 0.19747315 0.24591665 0.04735254]\n",
      " [0.23812296 0.16675039 0.10316811 0.01554274 0.24800321 0.22841259]\n",
      " [0.08610509 0.10836619 0.21102693 0.22809823 0.14643222 0.21997135]\n",
      " [0.29693913 0.02264254 0.30153508 0.01884454 0.30332747 0.05671124]\n",
      " [0.07894424 0.22499425 0.26276865 0.09462289 0.10550495 0.23316502]\n",
      " [0.0300546  0.19109883 0.09594844 0.07925928 0.27000814 0.33363071]\n",
      " [0.23159997 0.03231435 0.15083656 0.22619643 0.16273158 0.19632112]\n",
      " [0.28596124 0.34553459 0.26590066 0.04363125 0.02119323 0.03777902]\n",
      " [0.24965344 0.2310938  0.06287652 0.12327921 0.19611358 0.13698345]\n",
      " [0.30910467 0.1739471  0.18471214 0.20140873 0.11971429 0.01111308]\n",
      " [0.33947378 0.29072074 0.01848856 0.15034689 0.03463902 0.16633102]\n",
      " [0.30168327 0.26317299 0.08793157 0.11641866 0.22217899 0.00861452]\n",
      " [0.18723355 0.2110818  0.08962278 0.17460136 0.21914435 0.11831616]\n",
      " [0.22480907 0.19647557 0.04090323 0.16506907 0.16903364 0.20370941]\n",
      " [0.18312498 0.23735749 0.1598577  0.02556697 0.28147053 0.11262233]\n",
      " [0.12703471 0.06056354 0.1709992  0.16456361 0.46676397 0.01007497]\n",
      " [0.01283159 0.26190162 0.07389372 0.27103535 0.29148305 0.08885467]\n",
      " [0.16974492 0.17914449 0.16322599 0.20322969 0.1478964  0.13675851]\n",
      " [0.31222245 0.12234374 0.39068645 0.10874652 0.00371956 0.06228129]\n",
      " [0.01303018 0.25337432 0.20574804 0.06360371 0.25561332 0.20863042]\n",
      " [0.18792264 0.23201573 0.09492868 0.25275376 0.11249541 0.11988377]\n",
      " [0.02274513 0.2314176  0.23966267 0.28820919 0.12953962 0.08842578]\n",
      " [0.26741457 0.07401651 0.28158607 0.03523014 0.18697887 0.15477385]\n",
      " [0.05663205 0.23783276 0.04213542 0.06909813 0.10807197 0.48622967]\n",
      " [0.06122813 0.10357033 0.05950721 0.26943875 0.25735895 0.24889662]\n",
      " [0.22231123 0.14672928 0.17804631 0.11303234 0.09209511 0.24778572]\n",
      " [0.0430114  0.30792685 0.09672223 0.23863469 0.04425491 0.26944992]\n",
      " [0.17377605 0.28610453 0.01941377 0.24220407 0.22667723 0.05182435]\n",
      " [0.24616702 0.15319134 0.08401991 0.21212721 0.07724276 0.22725176]\n",
      " [0.1495681  0.12413584 0.09849215 0.14026643 0.25134102 0.23619646]\n",
      " [0.2388446  0.12529065 0.02302137 0.05207911 0.21559033 0.34517395]\n",
      " [0.10712039 0.01972178 0.13329135 0.2460833  0.27250082 0.22128235]\n",
      " [0.02534149 0.39612822 0.27513968 0.13050485 0.14744383 0.02544194]\n",
      " [0.19507991 0.19495666 0.23398715 0.0372518  0.17284211 0.16588237]\n",
      " [0.0831962  0.10225425 0.27578073 0.24199485 0.18280153 0.11397244]\n",
      " [0.10047032 0.01089816 0.22103788 0.08904184 0.29402302 0.28452877]\n",
      " [0.08851942 0.02254917 0.42327198 0.27645439 0.03045788 0.15874715]\n",
      " [0.20626148 0.14084521 0.18117583 0.08620705 0.1930083  0.19250213]\n",
      " [0.29046619 0.09959275 0.24598081 0.09451535 0.26469039 0.00475451]\n",
      " [0.08709496 0.0753294  0.20964239 0.26999035 0.33689841 0.0210445 ]\n",
      " [0.09697377 0.04016734 0.01207257 0.40841179 0.26139648 0.18097805]\n",
      " [0.10066534 0.15720885 0.12497724 0.07993966 0.44988832 0.08732059]\n",
      " [0.02969185 0.33336563 0.01835348 0.0914634  0.21536053 0.3117651 ]\n",
      " [0.03004073 0.05348504 0.36295203 0.2756487  0.21859262 0.05928088]\n",
      " [0.02869486 0.36740702 0.19819384 0.2129248  0.13836818 0.05441131]\n",
      " [0.18504096 0.19183951 0.23613555 0.10099835 0.11707968 0.16890595]\n",
      " [0.22379805 0.140676   0.09339945 0.1629663  0.19259905 0.18656115]\n",
      " [0.0800426  0.09409237 0.09689896 0.10340996 0.30375507 0.32180104]\n",
      " [0.04682497 0.20622321 0.27021653 0.24010638 0.12536598 0.11126293]\n",
      " [0.23102266 0.16795389 0.1822393  0.10528761 0.26382348 0.04967306]\n",
      " [0.23619101 0.19263774 0.36257887 0.04580071 0.07944684 0.08334483]\n",
      " [0.20435962 0.22700828 0.12334186 0.21770517 0.15071814 0.07686693]\n",
      " [0.24299392 0.26808445 0.19379297 0.05059923 0.14168091 0.10284852]\n",
      " [0.28083985 0.04634464 0.04062182 0.06580817 0.20800606 0.35837946]\n",
      " [0.32838266 0.03528439 0.06369905 0.17253496 0.16518829 0.23491065]\n",
      " [0.06601869 0.27396454 0.01203562 0.34623378 0.1718644  0.12988297]\n",
      " [0.16325093 0.02733277 0.21772878 0.18318809 0.19824146 0.21025796]\n",
      " [0.17413435 0.13821469 0.09324679 0.25610631 0.12195537 0.21634249]]\n"
     ]
    }
   ],
   "source": [
    "n=6 # Number of stocks = 6\n",
    "pop_size=100 # initial population = 100\n",
    "\n",
    "population = np.array([chromosome(n) for _ in range(pop_size)])\n",
    "print(population.shape)\n",
    "print(population)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #6:\n",
    "\n",
    "**Fitness function** (Define a Function): \n",
    "The Sharpe ratio, S, is a measure for quantifying the performance (Fitness) of the portfolio and is computed as\n",
    "follows:\n",
    "                \n",
    "                S = (µ − r)/σ\n",
    "    \n",
    "    Here µ is the return of the portfolio over a specified period or Mean portfolio return, \n",
    "         r is the risk-free rate over the same period and \n",
    "         σ is the standard deviation of the returns over the specified period or Standard deviation of portfolio return.\n",
    "\n",
    "      \n",
    "Mean portfolio return = Mean Return * Fractions of Total Capital (Chromosome).\n",
    "\n",
    "Risk-free rate = 0.0697 ( as per google)\n",
    "\n",
    "Standard deviation of portfolio return = (chromosome * Standard deviation)**2 + Covariance * Respective weights in chromosome."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " #### Fitness function Sub Task 1:\n",
    " Calculate Mean, Standard deviation and covariance of the Historical stock returns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Index: 5 entries, 3_mon_return to 36_mon_return\n",
      "Data columns (total 6 columns):\n",
      " #   Column  Non-Null Count  Dtype \n",
      "---  ------  --------------  ----- \n",
      " 0   hdfc    5 non-null      object\n",
      " 1   itc     5 non-null      object\n",
      " 2   l&t     5 non-null      object\n",
      " 3   m&m     5 non-null      object\n",
      " 4   sunpha  5 non-null      object\n",
      " 5   tcs     5 non-null      object\n",
      "dtypes: object(6)\n",
      "memory usage: 280.0+ bytes\n",
      "None\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Index: 5 entries, 3_mon_return to 36_mon_return\n",
      "Data columns (total 6 columns):\n",
      " #   Column  Non-Null Count  Dtype  \n",
      "---  ------  --------------  -----  \n",
      " 0   hdfc    5 non-null      float64\n",
      " 1   itc     5 non-null      float64\n",
      " 2   l&t     5 non-null      float64\n",
      " 3   m&m     5 non-null      float64\n",
      " 4   sunpha  5 non-null      float64\n",
      " 5   tcs     5 non-null      float64\n",
      "dtypes: float64(6)\n",
      "memory usage: 280.0+ bytes\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "# Convert to numeric columns from Object datatypes.\n",
    "print(hist_stock_returns.info())\n",
    "cols=hist_stock_returns.columns\n",
    "hist_stock_returns[cols] = hist_stock_returns[cols].apply(pd.to_numeric, errors='coerce')\n",
    "print(hist_stock_returns.info())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate covariance of historical returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            hdfc       itc       l&t       m&m    sunpha       tcs\n",
      "hdfc    0.160272  0.045393  0.027916  0.024127 -0.079078  0.014362\n",
      "itc     0.045393  0.025467 -0.000718  0.004381 -0.023178 -0.005554\n",
      "l&t     0.027916 -0.000718  0.014206  0.002510 -0.013841  0.007330\n",
      "m&m     0.024127  0.004381  0.002510  0.007412 -0.011042  0.005700\n",
      "sunpha -0.079078 -0.023178 -0.013841 -0.011042  0.041781 -0.007211\n",
      "tcs     0.014362 -0.005554  0.007330  0.005700 -0.007211  0.009923\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>hdfc</th>\n",
       "      <th>itc</th>\n",
       "      <th>l&amp;t</th>\n",
       "      <th>m&amp;m</th>\n",
       "      <th>sunpha</th>\n",
       "      <th>tcs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>hdfc</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.045393</td>\n",
       "      <td>0.027916</td>\n",
       "      <td>0.024127</td>\n",
       "      <td>-0.079078</td>\n",
       "      <td>0.014362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>itc</th>\n",
       "      <td>0.045393</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.000718</td>\n",
       "      <td>0.004381</td>\n",
       "      <td>-0.023178</td>\n",
       "      <td>-0.005554</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>l&amp;t</th>\n",
       "      <td>0.027916</td>\n",
       "      <td>-0.000718</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.002510</td>\n",
       "      <td>-0.013841</td>\n",
       "      <td>0.007330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>m&amp;m</th>\n",
       "      <td>0.024127</td>\n",
       "      <td>0.004381</td>\n",
       "      <td>0.002510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.011042</td>\n",
       "      <td>0.005700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sunpha</th>\n",
       "      <td>-0.079078</td>\n",
       "      <td>-0.023178</td>\n",
       "      <td>-0.013841</td>\n",
       "      <td>-0.011042</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.007211</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>tcs</th>\n",
       "      <td>0.014362</td>\n",
       "      <td>-0.005554</td>\n",
       "      <td>0.007330</td>\n",
       "      <td>0.005700</td>\n",
       "      <td>-0.007211</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            hdfc       itc       l&t       m&m    sunpha       tcs\n",
       "hdfc    0.000000  0.045393  0.027916  0.024127 -0.079078  0.014362\n",
       "itc     0.045393  0.000000 -0.000718  0.004381 -0.023178 -0.005554\n",
       "l&t     0.027916 -0.000718  0.000000  0.002510 -0.013841  0.007330\n",
       "m&m     0.024127  0.004381  0.002510  0.000000 -0.011042  0.005700\n",
       "sunpha -0.079078 -0.023178 -0.013841 -0.011042  0.000000 -0.007211\n",
       "tcs     0.014362 -0.005554  0.007330  0.005700 -0.007211  0.000000"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cov_hist_return=hist_stock_returns.cov()\n",
    "\n",
    "print(cov_hist_return)\n",
    "\n",
    "# For ease of calculations make covariance of same variable as zero.\n",
    "for i in range(6):\n",
    "    cov_hist_return.iloc[i][i]=0\n",
    "    \n",
    "cov_hist_return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate the mean of historical returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "hdfc      0.456621\n",
       "itc       0.044696\n",
       "l&t       0.090865\n",
       "m&m       0.278328\n",
       "sunpha   -0.100047\n",
       "tcs       0.424619\n",
       "dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_hist_return=hist_stock_returns.mean()\n",
    "mean_hist_return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate Standard deviation of historical returns:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "hdfc      0.400340\n",
       "itc       0.159583\n",
       "l&t       0.119189\n",
       "m&m       0.086091\n",
       "sunpha    0.204405\n",
       "tcs       0.099615\n",
       "dtype: float64"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sd_hist_return=hist_stock_returns.std()\n",
    "sd_hist_return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Fitness function Sub Task 2:\n",
    " Calculate Expected portfolio return and portfolio variance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate Expected returns of portfolio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mean_portfolio_return(child):\n",
    "    return np.sum(np.multiply(child,mean_hist_return))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1282335133420478"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_portfolio_return(population[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate portfolio variance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def var_portfolio_return(child):\n",
    "    part_1 = np.sum(np.multiply(child,sd_hist_return)**2)\n",
    "    temp_lst=[]\n",
    "    for i in range(6):\n",
    "        for j in range(6):\n",
    "            temp=cov_hist_return.iloc[i][j] * child[i] * child[j]\n",
    "            temp_lst.append(temp)\n",
    "    part_2=np.sum(temp_lst)\n",
    "    return part_1+part_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.000982608701567269"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var_portfolio_return(population[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Risk free factor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "rf= 0.0697"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Fitness Function of a portfolio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fitness_fuction(child):\n",
    "    ''' This will return the Sharpe ratio for a particular portfolio.\n",
    "        Input: A child/chromosome (1D Array)\n",
    "        Output: Sharpe Ratio value (Scalar)'''\n",
    "    return (mean_portfolio_return(child)-rf)/np.sqrt(var_portfolio_return(child))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9787880234723128"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fitness_fuction(population[7])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #7:\n",
    "Select **Elite Population** (Define a Function): It filters the elite chromosomes which have highest returns, which were calculated in fitness function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Select_elite_population(population, frac=0.3):\n",
    "    ''' Select elite population from the total population based on fitness function values.\n",
    "        Input: Population and fraction of population to be considered as elite.\n",
    "        Output: Elite population.'''\n",
    "    population = sorted(population,key = lambda x: fitness_fuction(x),reverse=True)\n",
    "    percentage_elite_idx = int(np.floor(len(population)* frac))\n",
    "    return population[:percentage_elite_idx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[array([0.0300546 , 0.19109883, 0.09594844, 0.07925928, 0.27000814,\n",
       "        0.33363071]),\n",
       " array([0.11913629, 0.13621485, 0.02920441, 0.06233012, 0.31866454,\n",
       "        0.33444978]),\n",
       " array([0.06122813, 0.10357033, 0.05950721, 0.26943875, 0.25735895,\n",
       "        0.24889662]),\n",
       " array([0.0800426 , 0.09409237, 0.09689896, 0.10340996, 0.30375507,\n",
       "        0.32180104]),\n",
       " array([0.00477431, 0.08938275, 0.02992419, 0.34187952, 0.25474779,\n",
       "        0.27929145]),\n",
       " array([0.02969185, 0.33336563, 0.01835348, 0.0914634 , 0.21536053,\n",
       "        0.3117651 ]),\n",
       " array([0.05663205, 0.23783276, 0.04213542, 0.06909813, 0.10807197,\n",
       "        0.48622967]),\n",
       " array([0.09697377, 0.04016734, 0.01207257, 0.40841179, 0.26139648,\n",
       "        0.18097805]),\n",
       " array([0.01303018, 0.25337432, 0.20574804, 0.06360371, 0.25561332,\n",
       "        0.20863042]),\n",
       " array([0.10712039, 0.01972178, 0.13329135, 0.2460833 , 0.27250082,\n",
       "        0.22128235]),\n",
       " array([0.05521395, 0.13231446, 0.21162305, 0.12171155, 0.23815877,\n",
       "        0.24097822]),\n",
       " array([0.04495493, 0.05539075, 0.08766172, 0.54085869, 0.10245259,\n",
       "        0.16868133]),\n",
       " array([0.13738522, 0.09126552, 0.02099414, 0.35379056, 0.25862782,\n",
       "        0.13793674]),\n",
       " array([0.13604273, 0.1303769 , 0.08181577, 0.15101997, 0.36454976,\n",
       "        0.13619487]),\n",
       " array([0.10047032, 0.01089816, 0.22103788, 0.08904184, 0.29402302,\n",
       "        0.28452877]),\n",
       " array([0.1495681 , 0.12413584, 0.09849215, 0.14026643, 0.25134102,\n",
       "        0.23619646]),\n",
       " array([0.08194255, 0.02363042, 0.23591121, 0.22732013, 0.23819223,\n",
       "        0.19300346]),\n",
       " array([0.07712078, 0.08899992, 0.27130371, 0.09590809, 0.1524314 ,\n",
       "        0.3142361 ]),\n",
       " array([0.20195292, 0.04403405, 0.13943447, 0.07404066, 0.30341615,\n",
       "        0.23712174]),\n",
       " array([0.08610509, 0.10836619, 0.21102693, 0.22809823, 0.14643222,\n",
       "        0.21997135]),\n",
       " array([0.2388446 , 0.12529065, 0.02302137, 0.05207911, 0.21559033,\n",
       "        0.34517395]),\n",
       " array([0.28083985, 0.04634464, 0.04062182, 0.06580817, 0.20800606,\n",
       "        0.35837946]),\n",
       " array([0.1094013 , 0.17990346, 0.13034037, 0.20377784, 0.19254488,\n",
       "        0.18403215]),\n",
       " array([0.16325093, 0.02733277, 0.21772878, 0.18318809, 0.19824146,\n",
       "        0.21025796]),\n",
       " array([0.09823584, 0.18393095, 0.1716758 , 0.19055137, 0.09588278,\n",
       "        0.25972326]),\n",
       " array([0.0430114 , 0.30792685, 0.09672223, 0.23863469, 0.04425491,\n",
       "        0.26944992]),\n",
       " array([0.06601869, 0.27396454, 0.01203562, 0.34623378, 0.1718644 ,\n",
       "        0.12988297]),\n",
       " array([0.11858385, 0.27499768, 0.00685577, 0.2600103 , 0.0763906 ,\n",
       "        0.2631618 ]),\n",
       " array([0.14554317, 0.05323605, 0.04853585, 0.31264573, 0.41718254,\n",
       "        0.02285666]),\n",
       " array([0.17413435, 0.13821469, 0.09324679, 0.25610631, 0.12195537,\n",
       "        0.21634249])]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(len(Select_elite_population(population, frac=0.3)))\n",
    "Select_elite_population(population, frac=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1.867300827082432, 1.1254795377974085, 1.6745622339147634]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[fitness_fuction(x) for x in population][:3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #8:\n",
    "**Mutation**: A function that will perform mutation in a chromosome. \n",
    "            \n",
    "    Randomly choose 2 numbers between [0, 5] and those elements should be swapped.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mutation(parent):\n",
    "    ''' Randomy choosen elements of a chromosome are swapped\n",
    "        Input: Parent\n",
    "        Output: Offspring (1D Array)'''\n",
    "    child=parent.copy()\n",
    "    n=np.random.choice(range(6),2)\n",
    "    while (n[0]==n[1]):\n",
    "        n=np.random.choice(range(6),2)\n",
    "    child[n[0]],child[n[1]]=child[n[1]],child[n[0]]\n",
    "    return child"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.2875455 , 0.15549612, 0.18128256, 0.35049057, 0.00832886,\n",
       "        0.01685638]),\n",
       " array([0.2875455 , 0.15549612, 0.18128256, 0.35049057, 0.01685638,\n",
       "        0.00832886]))"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mutation(population[1]),population[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #9:\n",
    "Crossover: **Heuristic crossover** or **Blend Crossover** uses the ﬁtness values of two parent chromosomes to ascertain the direction of the search. It moves from worst parent to best parent. \n",
    "\n",
    "The oﬀspring are created according to the equation:\n",
    "            \n",
    "            Off_spring A = Best Parent  + β ∗ ( Best Parent − Worst Parent)\n",
    "            Off_spring B = Worst Parent - β ∗ ( Best Parent − Worst Parent)\n",
    "                Where β is a random number between 0 and 1.\n",
    "This crossover type is good for real-valued genomes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Heuristic_crossover(parent1,parent2):\n",
    "    ''' The oﬀsprings are created according to the equation:\n",
    "            Off_spring A = Best Parent  + β ∗ ( Best Parent − Worst Parent)\n",
    "            Off_spring B = Worst Parent - β ∗ ( Best Parent − Worst Parent)\n",
    "                Where β is a random number between 0 and 1.\n",
    "        Input: 2 Parents\n",
    "        Output: 2 Children (1d Array)'''\n",
    "    ff1=fitness_fuction(parent1)\n",
    "    ff2=fitness_fuction(parent2)\n",
    "    diff=parent1 - parent2\n",
    "    beta=np.random.rand()\n",
    "    if ff1>ff2:\n",
    "        child1=parent1 + beta * diff\n",
    "        child2=parent2 - beta * diff\n",
    "    else:\n",
    "        child2=parent1 + beta * diff\n",
    "        child1=parent2 - beta * diff\n",
    "    return child1,child2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(array([0.14554317, 0.05323605, 0.04853585, 0.31264573, 0.41718254,\n",
      "       0.02285666]), array([0.14554317, 0.05323605, 0.04853585, 0.31264573, 0.41718254,\n",
      "       0.02285666]))\n",
      "(array([0.2732508 , 0.14520209, 0.16791958, 0.34668091, 0.05715532,\n",
      "       0.0097913 ]), array([0.15983787, 0.06353009, 0.06189883, 0.31645539, 0.3768836 ,\n",
      "       0.02139421]))\n",
      "(array([0.16332233, 0.04291056, 0.1385543 , 0.28491909, 0.29128007,\n",
      "       0.07901366]), array([0.16580657, 0.0414678 , 0.15113241, 0.2810449 , 0.27368794,\n",
      "       0.08686038]))\n",
      "(array([0.1608517 , 0.13869701, 0.10945279, 0.26277045, 0.28586373,\n",
      "       0.04236433]), array([0.17640089, 0.22550155, 0.17132744, 0.21211104, 0.15248037,\n",
      "       0.06217871]))\n",
      "(array([0.10450475, 0.14605152, 0.14683029, 0.24957369, 0.25113262,\n",
      "       0.10190714]), array([0.13235889, 0.08305459, 0.08011459, 0.29238277, 0.3638362 ,\n",
      "       0.04825295]))\n",
      "(array([0.18583215, 0.04276682, 0.10604898, 0.29780057, 0.33804843,\n",
      "       0.02950305]), array([0.23181658, 0.03081759, 0.17169244, 0.28085683, 0.24772755,\n",
      "       0.03708902]))\n",
      "(array([0.1618917 , 0.10309233, 0.06373189, 0.27675619, 0.34345527,\n",
      "       0.05107263]), array([0.17523361, 0.14377968, 0.07613326, 0.24746699, 0.28328698,\n",
      "       0.07409948]))\n",
      "(array([0.11408373, 0.14014834, 0.13042409, 0.23145281, 0.20351776,\n",
      "       0.18037327]), array([0.12969528, 0.09701867, 0.08978756, 0.27174429, 0.30954756,\n",
      "       0.10220664]))\n",
      "(array([0.13683602, 0.07761962, 0.05510228, 0.28567243, 0.41370982,\n",
      "       0.03105984]), array([0.0635333 , 0.28289697, 0.11038291, 0.05859295, 0.38447412,\n",
      "       0.10011975]))\n",
      "(array([0.12982275, 0.061453  , 0.09971801, 0.26284905, 0.35635448,\n",
      "       0.08980271]), array([0.09284121, 0.08078297, 0.22012155, 0.14570477, 0.21325945,\n",
      "       0.24729005]))\n",
      "(array([0.14683371, 0.05485029, 0.0480861 , 0.31029711, 0.4158236 ,\n",
      "       0.02410919]), array([0.26748725, 0.20576656, 0.00603842, 0.0907224 , 0.28877571,\n",
      "       0.14120965]))\n",
      "(array([0.16029404, 0.08006651, 0.0798631 , 0.26454763, 0.35870103,\n",
      "       0.05652769]), array([0.21979943, 0.1883013 , 0.20623806, 0.0705186 , 0.12278506,\n",
      "       0.19235756]))\n",
      "(array([0.00692081, 0.08883157, 0.03020799, 0.34143375, 0.25722465,\n",
      "       0.27538123]), array([0.14339668, 0.05378723, 0.04825205, 0.3130915 , 0.41470567,\n",
      "       0.02676687]))\n",
      "(array([0.13835452, 0.11160581, 0.07371759, 0.19034922, 0.37735717,\n",
      "       0.10861568]), array([0.14323138, 0.07200715, 0.05663403, 0.27331648, 0.40437513,\n",
      "       0.05043584]))\n",
      "(array([0.14204046, 0.06956444, 0.0367105 , 0.33031174, 0.34910524,\n",
      "       0.07226761]), array([0.14088793, 0.07493713, 0.03281949, 0.33612455, 0.32670511,\n",
      "       0.08852578]))\n",
      "(array([0.03399917, 0.26495382, 0.20723274, 0.15305115, 0.21361517,\n",
      "       0.12714795]), array([0.13260065, 0.07780181, 0.06694956, 0.29412786, 0.39356248,\n",
      "       0.03495764]))\n",
      "(array([0.14262919, 0.04950446, 0.13456364, 0.33719756, 0.32297134,\n",
      "       0.01313381]), array([0.14339593, 0.05048634, 0.11192751, 0.33073734, 0.34776074,\n",
      "       0.01569214]))\n",
      "(array([0.13112048, 0.053545  , 0.05414585, 0.34536771, 0.37205545,\n",
      "       0.04376551]), array([0.05937762, 0.0550818 , 0.08205171, 0.50813671, 0.14757968,\n",
      "       0.14777247]))\n",
      "(array([0.08323929, 0.27104597, 0.12320202, 0.10902834, 0.29482204,\n",
      "       0.11866234]), array([0.14248281, 0.06393486, 0.05220344, 0.30264406, 0.4111722 ,\n",
      "       0.02756262]))\n",
      "(array([0.13856885, 0.0593417 , 0.06112782, 0.2979037 , 0.40336011,\n",
      "       0.03969783]), array([0.06218827, 0.12620881, 0.19903108, 0.13645359, 0.2519812 ,\n",
      "       0.22413705]))\n",
      "(array([0.19980664, 0.09020202, 0.06806713, 0.21633114, 0.39062356,\n",
      "       0.03496951]), array([0.24567792, 0.12145097, 0.08457777, 0.13491221, 0.36817209,\n",
      "       0.04520903]))\n",
      "(array([0.29208617, 0.26429484, 0.04017679, 0.27601302, 0.09806673,\n",
      "       0.02936245]), array([0.18144218, 0.10493966, 0.04648811, 0.30367172, 0.33900792,\n",
      "       0.0244504 ]))\n",
      "(array([0.14861555, 0.12367655, 0.19111706, 0.23639537, 0.14591488,\n",
      "       0.15428058]), array([0.14588631, 0.06110315, 0.06445992, 0.30412977, 0.38688623,\n",
      "       0.03753463]))\n",
      "(array([0.16752986, 0.03751821, 0.14617691, 0.2152941 , 0.37099196,\n",
      "       0.06248896]), array([0.19050852, 0.02109123, 0.24822325, 0.11355024, 0.3227174 ,\n",
      "       0.10390936]))\n",
      "(array([0.19620772, 0.05233722, 0.08433005, 0.25189529, 0.38109407,\n",
      "       0.03413565]), array([0.27477421, 0.05094339, 0.13983682, 0.1576884 , 0.32513099,\n",
      "       0.0516262 ]))\n",
      "(array([0.15962891, 0.09824462, 0.06025879, 0.26530362, 0.34137204,\n",
      "       0.07519202]), array([0.20123023, 0.23117454, 0.09488175, 0.12548172, 0.11747059,\n",
      "       0.22976117]))\n",
      "(array([0.19083491, 0.10899416, 0.17205275, 0.19813517, 0.27961749,\n",
      "       0.05036552]), array([0.15743069, 0.06787063, 0.08095477, 0.28259066, 0.38107646,\n",
      "       0.03007678]))\n",
      "(array([0.14491279, 0.05842142, 0.04756126, 0.31141498, 0.40921394,\n",
      "       0.02847561]), array([0.11921423, 0.26981231, 0.00783035, 0.26124106, 0.0843592 ,\n",
      "       0.25754284]))\n",
      "(array([0.16976258, 0.22507641, 0.0390563 , 0.18076219, 0.17353244,\n",
      "       0.21181008]), array([0.15005255, 0.08523077, 0.04677086, 0.28809052, 0.37181767,\n",
      "       0.05803763]))\n",
      "(array([0.18819409, 0.08036511, 0.10271908, 0.26740385, 0.29096189,\n",
      "       0.07035599]), array([0.24275327, 0.11506867, 0.17203042, 0.2095303 , 0.12950008,\n",
      "       0.13111726]))\n",
      "(array([0.24269952, 0.12320121, 0.13935962, 0.33853874, 0.143284  ,\n",
      "       0.01291691]), array([0.19038915, 0.08553097, 0.09045879, 0.32459757, 0.29075491,\n",
      "       0.01826861]))\n",
      "(array([0.2875455 , 0.15549612, 0.18128256, 0.35049057, 0.01685638,\n",
      "       0.00832886]), array([0.2875455 , 0.15549612, 0.18128256, 0.35049057, 0.01685638,\n",
      "       0.00832886]))\n",
      "(array([0.20453041, 0.05619576, 0.22908925, 0.27289548, 0.12140731,\n",
      "       0.11588181]), array([0.26660082, 0.13044267, 0.19334417, 0.33091336, 0.04323455,\n",
      "       0.03546443]))\n",
      "(array([0.27697345, 0.17264623, 0.18690436, 0.32972345, 0.0173313 ,\n",
      "       0.01642121]), array([0.20228147, 0.2938124 , 0.22662258, 0.18300288, 0.02068664,\n",
      "       0.07359403]))\n",
      "(array([0.28493989, 0.15576666, 0.18124441, 0.34888147, 0.01925889,\n",
      "       0.00990868]), array([0.09392607, 0.17559951, 0.17844719, 0.23091984, 0.19538378,\n",
      "       0.12572361]))\n",
      "(array([0.2770581 , 0.06369857, 0.21383371, 0.29310926, 0.11992202,\n",
      "       0.03237835]), array([0.28259296, 0.11214591, 0.19665442, 0.32339298, 0.0655278 ,\n",
      "       0.01968592]))\n",
      "(array([0.27737853, 0.1595369 , 0.17175234, 0.33577324, 0.03727259,\n",
      "       0.01828639]), array([0.2017491 , 0.18959518, 0.10085952, 0.22629479, 0.1891435 ,\n",
      "       0.09235792]))\n",
      "(array([0.22148756, 0.16541821, 0.17793037, 0.2946812 , 0.04443195,\n",
      "       0.09605071]), array([0.16429377, 0.17400887, 0.175028  , 0.24636074, 0.06830722,\n",
      "       0.17200141]))\n",
      "(array([0.11544073, 0.26774645, 0.13370571, 0.11467346, 0.28615541,\n",
      "       0.08227826]), array([0.22693091, 0.19503022, 0.16452619, 0.26743677, 0.11170238,\n",
      "       0.03437353]))\n",
      "(array([0.28624621, 0.15508554, 0.1818384 , 0.34891863, 0.0176935 ,\n",
      "       0.01021771]), array([0.07842007, 0.0894105 , 0.27074787, 0.09748003, 0.15159428,\n",
      "       0.31234725]))\n",
      "(array([0.27815527, 0.18145609, 0.09337593, 0.21934313, 0.15222849,\n",
      "       0.07544109]), array([0.27816802, 0.18142084, 0.0934953 , 0.21952123, 0.15204466,\n",
      "       0.07534995]))\n",
      "(array([0.28699896, 0.15611115, 0.181863  , 0.3471072 , 0.0173457 ,\n",
      "       0.01057399]), array([0.23509683, 0.21451673, 0.23698487, 0.02580387, 0.06381423,\n",
      "       0.22378347]))\n",
      "(array([0.19142133, 0.13302179, 0.12983037, 0.34756336, 0.09772428,\n",
      "       0.10043886]), array([0.10089847, 0.11185708, 0.08137638, 0.34480673, 0.17387988,\n",
      "       0.18718145]))\n",
      "(array([0.17966731, 0.13760988, 0.11045681, 0.20845669, 0.26443292,\n",
      "       0.09937639]), array([0.24392091, 0.14826315, 0.15264152, 0.29305385, 0.11697322,\n",
      "       0.04514734]))\n",
      "(array([0.24062698, 0.13542687, 0.13119945, 0.35152168, 0.09239937,\n",
      "       0.04882565]), array([0.18430373, 0.11133477, 0.07107726, 0.35275946, 0.18308483,\n",
      "       0.09743995]))\n",
      "(array([0.2394035 , 0.17970786, 0.18929703, 0.31147725, 0.04813441,\n",
      "       0.03197996]), array([0.06919864, 0.26530784, 0.21763198, 0.17354661, 0.15871709,\n",
      "       0.11559784]))\n",
      "(array([0.20080501, 0.09135869, 0.19111641, 0.35332086, 0.15646188,\n",
      "       0.00693715]), array([0.22722243, 0.11089219, 0.18812144, 0.35245888, 0.11394405,\n",
      "       0.007361  ]))\n",
      "(array([0.23902877, 0.13547562, 0.16255893, 0.38856311, 0.03397513,\n",
      "       0.04039844]), array([0.09347166, 0.07541126, 0.10638535, 0.50278615, 0.08533383,\n",
      "       0.13661175]))\n",
      "(array([0.28409334, 0.15759786, 0.18037672, 0.3463043 , 0.02138379,\n",
      "       0.01024399]), array([0.08363109, 0.27964304, 0.12777546, 0.10321294, 0.2842843 ,\n",
      "       0.12145317]))\n",
      "(array([0.26022343, 0.15276997, 0.18485059, 0.32358628, 0.04288142,\n",
      "       0.0356883 ]), array([0.08253602, 0.13504061, 0.20805503, 0.14861585, 0.21213373,\n",
      "       0.21361878]))\n",
      "(array([0.29099379, 0.15630864, 0.15981441, 0.26372808, 0.10719732,\n",
      "       0.02195776]), array([0.2964931 , 0.15760442, 0.12557721, 0.12536012, 0.25127217,\n",
      "       0.04369299]))\n",
      "(array([0.30456893, 0.22306097, 0.12102085, 0.31536092, 0.0181343 ,\n",
      "       0.01785403]), array([0.31096174, 0.2484336 , 0.09839077, 0.30216868, 0.0186142 ,\n",
      "       0.02143102]))\n",
      "(array([0.18867516, 0.13840799, 0.19965919, 0.26301755, 0.08731512,\n",
      "       0.122925  ]), array([0.24782903, 0.14863178, 0.1886645 , 0.31535244, 0.04515983,\n",
      "       0.05436242]))\n",
      "(array([0.25658044, 0.09355688, 0.24918747, 0.21256481, 0.12399399,\n",
      "       0.06411641]), array([0.24346026, 0.06731263, 0.27795941, 0.15412437, 0.16938921,\n",
      "       0.08775412]))\n",
      "(array([0.32229313, 0.05879838, 0.17610017, 0.11798606, 0.26644761,\n",
      "       0.05837466]), array([0.29069112, 0.1467423 , 0.18081341, 0.32944247, 0.03945131,\n",
      "       0.01285939]))\n",
      "(array([0.24046149, 0.23416793, 0.13260256, 0.17295411, 0.03302509,\n",
      "       0.18678883]), array([0.26239998, 0.19751131, 0.15528469, 0.25567607, 0.02549139,\n",
      "       0.10363656]))\n",
      "(array([0.27094985, 0.14926127, 0.18581951, 0.31480194, 0.06120147,\n",
      "       0.01796596]), array([0.21931807, 0.12986359, 0.19993472, 0.20376874, 0.19916633,\n",
      "       0.04794855]))\n",
      "(array([0.1642338 , 0.24271082, 0.05398229, 0.28445621, 0.06030568,\n",
      "       0.19431119]), array([0.24189554, 0.18778298, 0.13415604, 0.32604467, 0.0329413 ,\n",
      "       0.07717947]))\n",
      "(array([0.24256292, 0.19583304, 0.12410153, 0.27333772, 0.06105968,\n",
      "       0.10310511]), array([0.21925454, 0.21673421, 0.09447234, 0.23335983, 0.08396427,\n",
      "       0.15221481]))\n",
      "(array([0.28555915, 0.14316011, 0.22296206, 0.17776359, 0.00426197,\n",
      "       0.16629312]), array([0.28739053, 0.15453374, 0.18453416, 0.3370154 , 0.01587384,\n",
      "       0.02065233]))\n",
      "(array([0.16057191, 0.0445079 , 0.12462855, 0.28920837, 0.31075703,\n",
      "       0.07032624]), array([0.16855699, 0.03987046, 0.16505816, 0.27675562, 0.25421097,\n",
      "       0.0955478 ]))\n",
      "(array([0.27864688, 0.14485185, 0.18640709, 0.34217294, 0.02806348,\n",
      "       0.01985776]), array([0.19248434, 0.04178658, 0.23602633, 0.26163589, 0.13657837,\n",
      "       0.13148848]))\n",
      "(array([0.18358573, 0.0311423 , 0.24115086, 0.25331826, 0.14778547,\n",
      "       0.14301738]), array([0.18358573, 0.0311423 , 0.24115086, 0.25331826, 0.14778547,\n",
      "       0.14301738]))\n",
      "(array([0.1866062 , 0.1351824 , 0.23783934, 0.21945283, 0.10070537,\n",
      "       0.12021387]), array([0.18868894, 0.2069224 , 0.2355559 , 0.19610119, 0.06824166,\n",
      "       0.1044899 ]))\n",
      "(array([0.13602275, 0.10574982, 0.20880729, 0.24094232, 0.17356101,\n",
      "       0.1349168 ]), array([0.13888344, 0.10126254, 0.2107526 , 0.24168667, 0.17201074,\n",
      "       0.13540401]))\n",
      "(array([0.20502531, 0.028528  , 0.2382577 , 0.25639261, 0.15282518,\n",
      "       0.1189712 ]), array([0.25066598, 0.02296266, 0.23209873, 0.26293731, 0.16355373,\n",
      "       0.06778159]))\n",
      "(array([0.18466304, 0.05303424, 0.22096617, 0.24769473, 0.156108  ,\n",
      "       0.13753382]), array([0.19050482, 0.17174402, 0.11151399, 0.21720098, 0.20123718,\n",
      "       0.10779901]))\n",
      "(array([0.18103118, 0.03571532, 0.23907145, 0.25143962, 0.14623201,\n",
      "       0.14651043]), array([0.10079039, 0.17935794, 0.17375522, 0.19243   , 0.09743625,\n",
      "       0.25623021]))\n",
      "(array([0.05850831, 0.29938374, 0.12050116, 0.03795962, 0.37433207,\n",
      "       0.1093151 ]), array([0.17990355, 0.0390391 , 0.23759904, 0.24697828, 0.15445481,\n",
      "       0.14202521]))\n",
      "(array([0.17980982, 0.03319429, 0.24222027, 0.24773552, 0.14795024,\n",
      "       0.14908985]), array([0.08089669, 0.08694793, 0.27023431, 0.10149082, 0.15226662,\n",
      "       0.30816363]))\n",
      "(array([0.19408722, 0.05286694, 0.21211348, 0.23298581, 0.1649976 ,\n",
      "       0.14294894]), array([0.2582763 , 0.18565616, 0.03462605, 0.10870622, 0.27020464,\n",
      "       0.14253062]))\n",
      "(array([0.20279113, 0.10047658, 0.23979969, 0.16630713, 0.11632628,\n",
      "       0.17429919]), array([0.21534489, 0.14579747, 0.23891648, 0.10943163, 0.09576274,\n",
      "       0.19474679]))\n",
      "(array([0.08820885, 0.06220739, 0.1284839 , 0.30055627, 0.20483849,\n",
      "       0.2157051 ]), array([0.10015118, 0.05831767, 0.14259115, 0.2946415 , 0.19769477,\n",
      "       0.20660373]))\n",
      "(array([0.15099901, 0.09915925, 0.1319401 , 0.18320141, 0.2963591 ,\n",
      "       0.13834112]), array([0.16862944, 0.06235996, 0.19102653, 0.22113681, 0.21597613,\n",
      "       0.14087112]))\n",
      "(array([0.14250151, 0.08460741, 0.04537453, 0.34266415, 0.24635302,\n",
      "       0.13849938]), array([0.17846943, 0.03780041, 0.21677047, 0.26444467, 0.16006027,\n",
      "       0.14245474]))\n",
      "(array([0.13170895, 0.11361235, 0.23620209, 0.21540393, 0.16125814,\n",
      "       0.14181455]), array([0.07293342, 0.20704953, 0.23059522, 0.17244762, 0.17652245,\n",
      "       0.14045176]))\n",
      "(array([0.1594386 , 0.03988854, 0.21695232, 0.31044328, 0.20703546,\n",
      "       0.06624181]), array([0.16462907, 0.03800852, 0.22215384, 0.29816415, 0.19429956,\n",
      "       0.08274486]))\n",
      "(array([0.15121058, 0.03680517, 0.20530578, 0.32046901, 0.13719866,\n",
      "       0.14901081]), array([0.07733007, 0.04972789, 0.1235068 , 0.47370794, 0.1130394 ,\n",
      "       0.1626879 ]))\n",
      "(array([0.18289734, 0.03281057, 0.24039009, 0.25229113, 0.14872429,\n",
      "       0.14288658]), array([0.08086731, 0.2800765 , 0.12763039, 0.1000538 , 0.28787289,\n",
      "       0.12349911]))\n",
      "(array([0.16707685, 0.04415326, 0.23735352, 0.23639336, 0.15940767,\n",
      "       0.15561535]), array([0.07172283, 0.1193035 , 0.21542039, 0.13863645, 0.22653657,\n",
      "       0.22838025]))\n",
      "(array([0.19497309, 0.04359828, 0.227739  , 0.23230422, 0.16675478,\n",
      "       0.13463063]), array([0.28855402, 0.14596096, 0.11752091, 0.05961167, 0.3226438 ,\n",
      "       0.06570864]))\n",
      "(array([0.3005596 , 0.26189614, 0.07668869, 0.26443305, 0.04418271,\n",
      "       0.0522398 ]), array([0.2110113 , 0.08524461, 0.20259123, 0.25592422, 0.12349487,\n",
      "       0.12173376]))\n",
      "(array([0.16404374, 0.08780445, 0.22190081, 0.23896168, 0.12963187,\n",
      "       0.15765745]), array([0.16850068, 0.0748815 , 0.22629117, 0.24223599, 0.13377217,\n",
      "       0.15431849]))\n",
      "(array([0.19310237, 0.0226595 , 0.27562123, 0.17526141, 0.19016553,\n",
      "       0.14318997]), array([0.20297856, 0.01385619, 0.31139394, 0.09425546, 0.23414676,\n",
      "       0.14336908]))\n",
      "(array([0.24583502, 0.03943717, 0.21239882, 0.18469397, 0.20977323,\n",
      "       0.10786179]), array([0.26318946, 0.04174969, 0.20438306, 0.16556224, 0.22705477,\n",
      "       0.09806078]))\n",
      "(array([0.20993945, 0.23466229, 0.1294028 , 0.10782267, 0.05964246,\n",
      "       0.25853033]), array([0.18896224, 0.07266312, 0.21835275, 0.2236352 , 0.12980311,\n",
      "       0.16658358]))\n",
      "(array([0.19510175, 0.08679851, 0.21907817, 0.2020239 , 0.20539114,\n",
      "       0.09160653]), array([0.1912064 , 0.06797253, 0.22654436, 0.21937446, 0.18590574,\n",
      "       0.1089965 ]))\n",
      "(array([0.1653051 , 0.09972231, 0.17525951, 0.25520028, 0.12770693,\n",
      "       0.17680587]), array([0.13686448, 0.20641767, 0.07274711, 0.25812828, 0.09646915,\n",
      "       0.22937331]))\n",
      "(array([0.17799888, 0.16666522, 0.11886615, 0.19506627, 0.13601771,\n",
      "       0.20538577]), array([0.1798588 , 0.12154821, 0.15957602, 0.21445897, 0.13993532,\n",
      "       0.18462267]))\n",
      "(array([0.19228479, 0.04063055, 0.23987467, 0.24571181, 0.13543931,\n",
      "       0.14605887]), array([0.27670512, 0.13270948, 0.22748984, 0.17189486, 0.01562559,\n",
      "       0.1755751 ]))\n",
      "(array([0.17958306, 0.24326623, 0.18399019, 0.20174352, 0.12518325,\n",
      "       0.06623375]), array([0.15766953, 0.12093232, 0.09679004, 0.27313798, 0.31316084,\n",
      "       0.03830929]))\n",
      "(array([0.20228922, 0.29379982, 0.22661846, 0.18301811, 0.02068629,\n",
      "       0.0735881 ]), array([0.27696569, 0.1726588 , 0.18690848, 0.32970822, 0.01733165,\n",
      "       0.01642715]))\n",
      "(array([0.18883542, 0.21196789, 0.23539531, 0.19445887, 0.06595849,\n",
      "       0.10338403]), array([0.18645972, 0.13013692, 0.23799993, 0.22109515, 0.10298854,\n",
      "       0.12131974]))\n",
      "(array([0.19170941, 0.3109625 , 0.23224438, 0.16223576, 0.02116156,\n",
      "       0.08168639]), array([0.19170941, 0.3109625 , 0.23224438, 0.16223576, 0.02116156,\n",
      "       0.08168639]))\n",
      "(array([0.18209197, 0.2980204 , 0.22708686, 0.16866167, 0.03808253,\n",
      "       0.08605658]), array([0.10093791, 0.18881215, 0.18356656, 0.22288483, 0.18086531,\n",
      "       0.12293324]))\n",
      "(array([0.23684866, 0.14779417, 0.23053821, 0.22050182, 0.10393872,\n",
      "       0.06037842]), array([0.22696631, 0.18351668, 0.23091174, 0.20774561, 0.08581628,\n",
      "       0.06504338]))\n",
      "(array([0.19169801, 0.30045275, 0.21962164, 0.16665564, 0.03803769,\n",
      "       0.08353428]), array([0.19159353, 0.20414571, 0.10395204, 0.20715758, 0.19268358,\n",
      "       0.10046756]))\n",
      "(array([0.10025602, 0.1866764 , 0.17298483, 0.1899394 , 0.09426788,\n",
      "       0.25587547]), array([0.18968923, 0.30821705, 0.23093535, 0.16284773, 0.02277646,\n",
      "       0.08553418]))\n",
      "(array([0.15198583, 0.30989399, 0.19878571, 0.12433091, 0.12558723,\n",
      "       0.08941632]), array([0.09454972, 0.30834905, 0.15040801, 0.0695245 , 0.27657574,\n",
      "       0.10059299]))\n",
      "(array([0.12703761, 0.18569074, 0.25428878, 0.12480159, 0.09524794,\n",
      "       0.21293334]), array([0.14179258, 0.21427168, 0.24925932, 0.13334226, 0.07834502,\n",
      "       0.18298915]))\n",
      "(array([0.25834021, 0.22140915, 0.03628528, 0.09837711, 0.2513571 ,\n",
      "       0.13423115]), array([0.202147  , 0.29693414, 0.20154777, 0.15223243, 0.05722123,\n",
      "       0.08991742]))\n",
      "(array([0.21905993, 0.24978214, 0.23564137, 0.07297476, 0.04870431,\n",
      "       0.17383749]), array([0.20719978, 0.27631211, 0.23416832, 0.1116815 , 0.0367608 ,\n",
      "       0.1338775 ]))\n",
      "(array([0.03705934, 0.12765116, 0.06486634, 0.31085375, 0.21440577,\n",
      "       0.24516364]), array([0.15942438, 0.27269409, 0.19730223, 0.19326153, 0.06150358,\n",
      "       0.1158142 ]))\n",
      "(array([0.19141688, 0.31001349, 0.23145385, 0.16217682, 0.02296612,\n",
      "       0.08197284]), array([0.13633527, 0.13132591, 0.0826063 , 0.15107891, 0.3627452 ,\n",
      "       0.13590841]))\n",
      "(array([0.1903293 , 0.30538106, 0.22687753, 0.16710225, 0.02719443,\n",
      "       0.08311544]), array([0.13876533, 0.09684696, 0.02636099, 0.34892408, 0.25259494,\n",
      "       0.13650769]))\n",
      "(array([0.16810514, 0.30799657, 0.23133177, 0.15840402, 0.0445142 ,\n",
      "       0.0896483 ]), array([0.04466091, 0.29248551, 0.22655906, 0.13836502, 0.16664247,\n",
      "       0.13128702]))\n",
      "(array([0.15052956, 0.09857573, 0.20468066, 0.31742421, 0.20796961,\n",
      "       0.02082023]), array([0.1816618 , 0.25914153, 0.22551901, 0.20010072, 0.06674149,\n",
      "       0.06683545]))\n",
      "(array([0.14970004, 0.23780351, 0.1908567 , 0.27061891, 0.04443162,\n",
      "       0.10658922]), array([0.0869643 , 0.12854974, 0.1290494 , 0.43247555, 0.07918253,\n",
      "       0.14377849]))\n",
      "(array([0.0994832 , 0.28680193, 0.14510843, 0.10996723, 0.24248543,\n",
      "       0.11615378]), array([0.17240514, 0.30590534, 0.21400557, 0.1512952 , 0.06748783,\n",
      "       0.08890091]))\n",
      "(array([0.15981437, 0.26921762, 0.22742577, 0.15276643, 0.07186753,\n",
      "       0.11890828]), array([0.08710899, 0.17405934, 0.21644166, 0.13118089, 0.1874528 ,\n",
      "       0.20375632]))\n",
      "(array([0.20425132, 0.29328554, 0.21739607, 0.14790859, 0.05829545,\n",
      "       0.07886303]), array([0.28739948, 0.1760939 , 0.11895736, 0.0529248 , 0.30447922,\n",
      "       0.06014524]))\n",
      "(array([0.32350688, 0.31583296, 0.04450807, 0.26359497, 0.01993383,\n",
      "       0.03262328]), array([0.19618771, 0.31112799, 0.22586536, 0.16567981, 0.02111984,\n",
      "       0.08001929]))\n",
      "(array([0.15123551, 0.14109914, 0.2083834 , 0.22438336, 0.11058797,\n",
      "       0.16431061]), array([0.18943259, 0.301407  , 0.2309021 , 0.16573181, 0.02619215,\n",
      "       0.08633433]))\n",
      "(array([0.20847446, 0.06448555, 0.32388604, 0.04444756, 0.22712979,\n",
      "       0.13157659]), array([0.19573015, 0.25185033, 0.25422265, 0.13398681, 0.07055859,\n",
      "       0.09365147]))\n",
      "(array([0.30972097, 0.08071135, 0.18228503, 0.10461268, 0.25755734,\n",
      "       0.06511262]), array([0.20742719, 0.2802957 , 0.22559037, 0.15456103, 0.05264675,\n",
      "       0.07947895]))\n",
      "(array([0.21095924, 0.28260185, 0.12979223, 0.09366005, 0.03787697,\n",
      "       0.24510966]), array([0.19606614, 0.30454376, 0.20905684, 0.14671532, 0.02494468,\n",
      "       0.11867325]))\n",
      "(array([0.19318134, 0.28592466, 0.22853246, 0.16301688, 0.05087942,\n",
      "       0.07846524]), array([0.2012505 , 0.14866657, 0.2081836 , 0.16729899, 0.21379355,\n",
      "       0.0608068 ]))\n",
      "(array([0.12131729, 0.27634205, 0.01528082, 0.25635548, 0.07432613,\n",
      "       0.25637823]), array([0.18897597, 0.30961813, 0.22381933, 0.16589059, 0.02322603,\n",
      "       0.08846996]))\n",
      "(array([0.17443624, 0.25757886, 0.03912805, 0.15626378, 0.12715942,\n",
      "       0.24543365]), array([0.19154513, 0.31045477, 0.23040765, 0.16217896, 0.02216971,\n",
      "       0.08324379]))\n",
      "(array([0.27782977, 0.15584089, 0.22670118, 0.16412248, 0.00472504,\n",
      "       0.17078063]), array([0.19928382, 0.29731933, 0.23175685, 0.1624017 , 0.01971594,\n",
      "       0.08952235]))\n",
      "(array([0.10841796, 0.13720111, 0.13745744, 0.25558792, 0.26696628,\n",
      "       0.09436929]), array([0.12844568, 0.09190499, 0.08948744, 0.28636855, 0.34800254,\n",
      "       0.0557908 ]))\n",
      "(array([0.13058242, 0.1717935 , 0.17898399, 0.25355717, 0.16158468,\n",
      "       0.10349825]), array([0.24828354, 0.15957267, 0.18070761, 0.32624414, 0.05305799,\n",
      "       0.03213405]))\n",
      "(array([0.15339526, 0.07849922, 0.22062087, 0.24546267, 0.16414643,\n",
      "       0.13787556]), array([0.12151093, 0.12851313, 0.19893902, 0.23716633, 0.18142533,\n",
      "       0.13244526]))\n",
      "(array([0.09156782, 0.1762029 , 0.17854168, 0.22914547, 0.19735109,\n",
      "       0.12719104]), array([0.19146206, 0.31062964, 0.23211173, 0.16240103, 0.02159675,\n",
      "       0.08179878]))\n",
      "(array([0.09132046, 0.17587005, 0.17840903, 0.22931073, 0.19778628,\n",
      "       0.12730344]), array([0.09132046, 0.17587005, 0.17840903, 0.22931073, 0.19778628,\n",
      "       0.12730344]))\n",
      "(array([0.23982123, 0.04812119, 0.2201344 , 0.25945767, 0.17380665,\n",
      "       0.05865887]), array([0.1236048 , 0.14809721, 0.1874802 , 0.23586473, 0.19257307,\n",
      "       0.11237999]))\n",
      "(array([0.15237069, 0.18668787, 0.1253854 , 0.21851278, 0.20495523,\n",
      "       0.11208803]), array([0.1305319 , 0.18281813, 0.14435293, 0.22237541, 0.20239076,\n",
      "       0.11753086]))\n",
      "(array([0.09238492, 0.17711083, 0.17737261, 0.22334464, 0.18210064,\n",
      "       0.14768635]), array([0.09717138, 0.18269017, 0.17271223, 0.19651746, 0.11156843,\n",
      "       0.23934035]))\n",
      "(array([0.08139899, 0.21159578, 0.16170038, 0.17556572, 0.24759581,\n",
      "       0.12214333]), array([0.06474762, 0.27155481, 0.13365799, 0.08536466, 0.33119188,\n",
      "       0.11348304]))\n",
      "(array([0.08258964, 0.12245706, 0.23552628, 0.14728675, 0.16989937,\n",
      "       0.2422409 ]), array([0.0858516 , 0.1424129 , 0.21418647, 0.17793207, 0.18031831,\n",
      "       0.19929864]))\n",
      "(array([0.17769168, 0.19120682, 0.0942947 , 0.16071455, 0.24141082,\n",
      "       0.13468143]), array([0.18240658, 0.19204403, 0.089703  , 0.15696997, 0.24379223,\n",
      "       0.13508419]))\n",
      "(array([0.21524882, 0.2098409 , 0.22959349, 0.05030076, 0.08229151,\n",
      "       0.21272452]), array([0.11062193, 0.1811609 , 0.18638086, 0.20143047, 0.17979832,\n",
      "       0.14060751]))\n",
      "(array([0.05985473, 0.14442571, 0.12442414, 0.27023756, 0.21849588,\n",
      "       0.18256198]), array([0.03624004, 0.12082708, 0.08390908, 0.30095269, 0.23403819,\n",
      "       0.22403291]))\n",
      "(array([0.10678339, 0.16014059, 0.14501148, 0.20224135, 0.25544551,\n",
      "       0.13037769]), array([0.12057981, 0.14610636, 0.11521333, 0.17808935, 0.30689054,\n",
      "       0.13312061]))\n",
      "(array([0.11481748, 0.13271441, 0.09811381, 0.29280622, 0.22882073,\n",
      "       0.13272734]), array([0.11388821, 0.13442115, 0.10128937, 0.29029507, 0.22759337,\n",
      "       0.13251284]))\n",
      "(array([0.03509639, 0.26681073, 0.21620772, 0.15347121, 0.1915519 ,\n",
      "       0.13686205]), array([0.07728072, 0.1985789 , 0.18784776, 0.2103728 , 0.19622949,\n",
      "       0.12969032]))\n",
      "(array([0.13460177, 0.06219818, 0.19561737, 0.34022094, 0.24687973,\n",
      "       0.02048202]), array([0.09720065, 0.16042662, 0.18074695, 0.24437896, 0.20445611,\n",
      "       0.11279071]))\n",
      "(array([0.04655624, 0.05955172, 0.09079584, 0.53009884, 0.1057451 ,\n",
      "       0.16725227]), array([0.08971915, 0.17170908, 0.17527491, 0.24007059, 0.19449377,\n",
      "       0.1287325 ]))\n",
      "(array([0.08645019, 0.22215086, 0.15587971, 0.17235991, 0.23757605,\n",
      "       0.12558328]), array([0.08504921, 0.23546396, 0.14939894, 0.15597749, 0.24902194,\n",
      "       0.12508846]))\n",
      "(array([0.06339746, 0.14218629, 0.20409512, 0.14609882, 0.22900838,\n",
      "       0.21521392]), array([0.08313695, 0.16599821, 0.18593696, 0.20492347, 0.20693668,\n",
      "       0.15306773]))\n",
      "(array([0.2100794 , 0.16593474, 0.13611324, 0.12074595, 0.27966072,\n",
      "       0.08746594]), array([0.18118245, 0.16835224, 0.14640484, 0.14716241, 0.25973867,\n",
      "       0.09715938]))\n",
      "(array([0.12467642, 0.19562   , 0.15863772, 0.23462823, 0.17271356,\n",
      "       0.11372408]), array([0.29462922, 0.2962485 , 0.05790037, 0.26172152, 0.04496484,\n",
      "       0.04453554]))\n",
      "(array([0.13622137, 0.14133922, 0.2007138 , 0.22819572, 0.13377659,\n",
      "       0.15975331]), array([0.10405778, 0.16607448, 0.18473636, 0.22899443, 0.17962826,\n",
      "       0.13650869]))\n",
      "(array([0.11901491, 0.13690308, 0.21668089, 0.18060402, 0.21578241,\n",
      "       0.13101468]), array([0.18480075, 0.04434035, 0.30759246, 0.06490533, 0.25853069,\n",
      "       0.13983043]))\n",
      "(array([0.14552124, 0.14674016, 0.1777659 , 0.19866508, 0.21891304,\n",
      "       0.11239458]), array([0.27123797, 0.07917444, 0.17627416, 0.1275836 , 0.26791578,\n",
      "       0.07781404]))\n",
      "(array([0.19514466, 0.25986441, 0.11828565, 0.10273178, 0.06705835,\n",
      "       0.25691514]), array([0.11149177, 0.19218874, 0.16672807, 0.20471856, 0.17238803,\n",
      "       0.15248482]))\n",
      "(array([0.14067525, 0.1527254 , 0.18995565, 0.20218352, 0.21804404,\n",
      "       0.09641613]), array([0.15336764, 0.14677338, 0.19292505, 0.19520732, 0.22325366,\n",
      "       0.08847296]))\n",
      "(array([0.09897583, 0.20370438, 0.1302381 , 0.23793095, 0.16369925,\n",
      "       0.16545149]), array([0.11092849, 0.24716335, 0.0550267 , 0.25139008, 0.11047764,\n",
      "       0.22501374]))\n",
      "(array([0.15700074, 0.24016436, 0.06667324, 0.17142781, 0.14266278,\n",
      "       0.22207106]), array([0.10859168, 0.19277681, 0.14902711, 0.2140899 , 0.18329107,\n",
      "       0.15222343]))\n",
      "(array([0.26828408, 0.14516795, 0.22199681, 0.17002403, 0.02043686,\n",
      "       0.17409027]), array([0.10844057, 0.17289981, 0.18262587, 0.22357512, 0.18062885,\n",
      "       0.13182977]))\n",
      "(array([0.25025849, 0.0260254 , 0.19801854, 0.27406159, 0.21150463,\n",
      "       0.04013134]), array([0.16739024, 0.04755901, 0.07972287, 0.30459581, 0.37427134,\n",
      "       0.02646072]))\n",
      "(array([0.28609698, 0.14281706, 0.18577852, 0.34256507, 0.0310918 ,\n",
      "       0.01165057]), array([0.27355408, 0.03302742, 0.22470961, 0.27393717, 0.15435802,\n",
      "       0.0404137 ]))\n",
      "(array([0.18949911, 0.03042124, 0.24035288, 0.25416622, 0.1491755 ,\n",
      "       0.13638505]), array([0.26619217, 0.02106942, 0.23000355, 0.26516371, 0.16720341,\n",
      "       0.05036774]))\n",
      "(array([0.24360743, 0.12336273, 0.23028274, 0.22922609, 0.11633307,\n",
      "       0.05718794]), array([0.22020754, 0.20794812, 0.23116721, 0.19902134, 0.07342193,\n",
      "       0.06823385]))\n",
      "(array([0.19228326, 0.08901606, 0.2067773 , 0.24980705, 0.181483  ,\n",
      "       0.08063332]), array([0.17114276, 0.10720234, 0.2008373 , 0.24551535, 0.18489673,\n",
      "       0.09040553]))\n",
      "(array([0.27210556, 0.02034836, 0.22920557, 0.26601167, 0.16859344,\n",
      "       0.04373541]), array([0.27210556, 0.02034836, 0.22920557, 0.26601167, 0.16859344,\n",
      "       0.04373541]))\n",
      "(array([0.24592454, 0.07669029, 0.18437711, 0.24831318, 0.18191302,\n",
      "       0.06278186]), array([0.21776315, 0.13729402, 0.13615776, 0.22927595, 0.19624012,\n",
      "       0.08326901]))\n",
      "(array([0.13477319, 0.14955536, 0.18376523, 0.20640875, 0.11116235,\n",
      "       0.21433512]), array([0.23556821, 0.05472395, 0.21711614, 0.25015428, 0.15331387,\n",
      "       0.08912356]))\n",
      "(array([0.23335734, 0.07151801, 0.20918651, 0.22421169, 0.20647292,\n",
      "       0.05525354]), array([0.09357436, 0.25611089, 0.1369684 , 0.07341962, 0.34312193,\n",
      "       0.0968048 ]))\n",
      "(array([0.15967306, 0.05993435, 0.25348028, 0.16792621, 0.15927405,\n",
      "       0.19971204]), array([0.18955328, 0.04941392, 0.247029  , 0.19399354, 0.16175078,\n",
      "       0.15825947]))\n",
      "(array([0.26897699, 0.19618546, 0.01897387, 0.09900678, 0.28030428,\n",
      "       0.13655262]), array([0.27190637, 0.03154369, 0.21582037, 0.25537867, 0.17570593,\n",
      "       0.04964497]))\n",
      "(array([0.23619866, 0.20658238, 0.23719839, 0.03311213, 0.06888101,\n",
      "       0.21802744]), array([0.27045719, 0.02889773, 0.22957249, 0.25532003, 0.16401598,\n",
      "       0.05173657]))\n",
      "(array([0.1169085 , 0.06042573, 0.11351433, 0.31005615, 0.21860967,\n",
      "       0.18048562]), array([0.15997136, 0.04930537, 0.14561543, 0.29783503, 0.20473156,\n",
      "       0.14254124]))\n",
      "(array([0.2122651 , 0.06873893, 0.16438351, 0.2154383 , 0.25477506,\n",
      "       0.0843991 ]), array([0.19588319, 0.08198633, 0.14663783, 0.20159334, 0.27836814,\n",
      "       0.09553118]))\n",
      "(array([0.26330839, 0.02497921, 0.21560947, 0.27174358, 0.17447264,\n",
      "       0.04988671]), array([0.14618239, 0.08663466, 0.03459024, 0.34805865, 0.25274862,\n",
      "       0.13178544]))\n",
      "(array([0.07303055, 0.23379386, 0.22638328, 0.16175286, 0.18556439,\n",
      "       0.11947506]), array([0.22013165, 0.07607407, 0.22846873, 0.23879209, 0.17302416,\n",
      "       0.06350929]))\n",
      "(array([0.25964366, 0.02284847, 0.22624684, 0.27446431, 0.17663694,\n",
      "       0.04015978]), array([0.15294385, 0.04425464, 0.20091402, 0.34683653, 0.24550605,\n",
      "       0.00954492]))\n",
      "(array([0.1156744 , 0.0444809 , 0.13172898, 0.45528976, 0.12304441,\n",
      "       0.12978155]), array([0.20138608, 0.03125821, 0.1851383 , 0.3515806 , 0.14800161,\n",
      "       0.08263519]))\n",
      "(array([0.09467103, 0.26200711, 0.13459685, 0.11163547, 0.2797342 ,\n",
      "       0.11735534]), array([0.25761346, 0.04008602, 0.22147833, 0.25340287, 0.17767095,\n",
      "       0.04974838]))\n",
      "(array([0.23803158, 0.03793839, 0.22644333, 0.24334192, 0.17952225,\n",
      "       0.07472254]), array([0.08928793, 0.11472442, 0.21438529, 0.14438131, 0.22722996,\n",
      "       0.20999109]))\n",
      "(array([0.27542254, 0.03680094, 0.21429877, 0.23891247, 0.18921088,\n",
      "       0.04535441]), array([0.29662441, 0.14196435, 0.11901585, 0.06569683, 0.32099567,\n",
      "       0.05570289]))\n",
      "(array([0.27681347, 0.04525714, 0.2131072 , 0.26609822, 0.15606522,\n",
      "       0.04265875]), array([0.32327727, 0.29108967, 0.05422742, 0.26695246, 0.03242033,\n",
      "       0.03203285]))\n",
      "(array([0.17383402, 0.1090825 , 0.21151828, 0.23558202, 0.12631935,\n",
      "       0.14366382]), array([0.24723022, 0.0428095 , 0.22472841, 0.25830906, 0.15789266,\n",
      "       0.06903015]))\n",
      "(array([0.25794819, 0.01679182, 0.25691184, 0.20668145, 0.19422745,\n",
      "       0.06743925]), array([0.22665257, 0.00892992, 0.31815804, 0.07552883, 0.25089281,\n",
      "       0.11983784]))\n",
      "(array([0.27257331, 0.0206088 , 0.2287357 , 0.26452882, 0.16964983,\n",
      "       0.04390354]), array([0.324971  , 0.04978411, 0.1761009 , 0.0984208 , 0.28798614,\n",
      "       0.06273706]))\n",
      "(array([0.24846572, 0.12684483, 0.17817043, 0.18780607, 0.11575483,\n",
      "       0.14295812]), array([0.2389558 , 0.16968664, 0.15763982, 0.15634521, 0.09449871,\n",
      "       0.18287382]))\n",
      "(array([0.21213191, 0.10962224, 0.20782599, 0.18136121, 0.23335132,\n",
      "       0.05570733]), array([0.26269608, 0.03435485, 0.22585125, 0.25273056, 0.17875353,\n",
      "       0.04561373]))\n",
      "(array([0.20997527, 0.12340502, 0.13922053, 0.26358291, 0.13127892,\n",
      "       0.13253735]), array([0.18071414, 0.17194101, 0.09684081, 0.26243906, 0.11370512,\n",
      "       0.17435987]))\n",
      "(array([0.18566996, 0.22949199, 0.05965008, 0.16899966, 0.13287734,\n",
      "       0.22331097]), array([0.26070756, 0.04792749, 0.2068468 , 0.25321899, 0.16388367,\n",
      "       0.06741549]))\n",
      "(array([0.27552527, 0.05168169, 0.2284362 , 0.23985373, 0.12608326,\n",
      "       0.07841985]), array([0.28198447, 0.11086439, 0.22698302, 0.19044636, 0.04578961,\n",
      "       0.14393216]))\n",
      "(array([0.18092714, 0.1611426 , 0.08142543, 0.23496812, 0.25761075,\n",
      "       0.08392596]), array([0.15619817, 0.08572941, 0.05843972, 0.28925507, 0.3691315 ,\n",
      "       0.04124615]))\n",
      "(array([0.24195495, 0.1736157 , 0.13854731, 0.28449533, 0.10840643,\n",
      "       0.05298028]), array([0.23717268, 0.17551638, 0.13406455, 0.2775727 , 0.11800966,\n",
      "       0.05766403]))\n",
      "(array([0.18705834, 0.10170878, 0.17608752, 0.23519139, 0.1746123 ,\n",
      "       0.12534166]), array([0.18810951, 0.12306948, 0.15639264, 0.22970432, 0.18273287,\n",
      "       0.11999117]))\n",
      "(array([0.19160218, 0.21211957, 0.11352906, 0.20380417, 0.17987947,\n",
      "       0.09906555]), array([0.19168936, 0.29247888, 0.21004463, 0.17000905, 0.05084179,\n",
      "       0.08493629]))\n",
      "(array([0.1078652 , 0.1788017 , 0.16403952, 0.22638447, 0.19972908,\n",
      "       0.12318003]), array([0.1750374 , 0.1907043 , 0.10569881, 0.21450372, 0.20761691,\n",
      "       0.10643886]))\n",
      "(array([0.25557331, 0.05592599, 0.20089823, 0.25483579, 0.17700421,\n",
      "       0.05576247]), array([0.20811437, 0.15805832, 0.11963664, 0.22275333, 0.20114893,\n",
      "       0.0902884 ]))\n",
      "(array([0.19158213, 0.19363595, 0.0913293 , 0.21157745, 0.20955971,\n",
      "       0.10231545]), array([0.19158213, 0.19363595, 0.0913293 , 0.21157745, 0.20955971,\n",
      "       0.10231545]))\n",
      "(array([0.18325936, 0.19277066, 0.09849301, 0.20970277, 0.19942426,\n",
      "       0.11634995]), array([0.1065586 , 0.18479625, 0.1645121 , 0.19242605, 0.10601823,\n",
      "       0.24568876]))\n",
      "(array([0.1423304 , 0.23456427, 0.10055618, 0.14676688, 0.27130326,\n",
      "       0.104479  ]), array([0.10407787, 0.26635222, 0.10772246, 0.09643022, 0.31925785,\n",
      "       0.10615938]))\n",
      "(array([0.08470092, 0.09592938, 0.259385  , 0.10356823, 0.15621469,\n",
      "       0.30020177]), array([0.18400199, 0.18670649, 0.10324801, 0.20391731, 0.20577641,\n",
      "       0.11634979]))\n",
      "(array([0.2559388 , 0.20509479, 0.01984885, 0.10886472, 0.27446777,\n",
      "       0.13578507]), array([0.20442113, 0.19592196, 0.07706913, 0.19108652, 0.22250871,\n",
      "       0.10899256]))\n",
      "(array([0.22618501, 0.21094683, 0.20909526, 0.05924663, 0.09258283,\n",
      "       0.20194343]), array([0.19994741, 0.19782088, 0.11979935, 0.17475132, 0.18128042,\n",
      "       0.12640062]))\n",
      "(array([0.12033201, 0.15387288, 0.06790886, 0.26127579, 0.22679483,\n",
      "       0.16981563]), array([0.07602443, 0.12914582, 0.05334463, 0.29218118, 0.23751266,\n",
      "       0.21179127]))\n",
      "(array([0.17595743, 0.17583952, 0.08865289, 0.19454104, 0.25316249,\n",
      "       0.11184662]), array([0.15166743, 0.14817334, 0.08449218, 0.16805638, 0.32094697,\n",
      "       0.12666369]))\n",
      "(array([0.14336804, 0.10256623, 0.02875847, 0.3380916 , 0.25321117,\n",
      "       0.13400449]), array([0.18559931, 0.18233524, 0.08356498, 0.22727641, 0.21497635,\n",
      "       0.1062477 ]))\n",
      "(array([0.03604492, 0.28109192, 0.21384069, 0.14130506, 0.19171474,\n",
      "       0.13600268]), array([0.17659385, 0.20206361, 0.10313506, 0.20480568, 0.20784008,\n",
      "       0.10556171]))\n",
      "(array([0.18126359, 0.16397656, 0.11286005, 0.24059684, 0.21844248,\n",
      "       0.08286049]), array([0.1508005 , 0.07641414, 0.17642455, 0.32626978, 0.24466678,\n",
      "       0.02542425]))\n",
      "(array([0.15037171, 0.15478134, 0.09029851, 0.30412385, 0.17945663,\n",
      "       0.12096797]), array([0.08616535, 0.09424537, 0.08869251, 0.44831229, 0.13255566,\n",
      "       0.15002881]))\n",
      "(array([0.12367609, 0.24734286, 0.11299297, 0.1429719 , 0.25786792,\n",
      "       0.11514826]), array([0.14808497, 0.22803787, 0.10520595, 0.16763222, 0.24050349,\n",
      "       0.1105355 ]))\n",
      "(array([0.18975232, 0.19281313, 0.09294343, 0.21037162, 0.20994345,\n",
      "       0.10417606]), array([0.05704376, 0.13313728, 0.21000893, 0.12291739, 0.23777502,\n",
      "       0.23911761]))\n",
      "(array([0.29672743, 0.15946154, 0.10373   , 0.04372825, 0.33769638,\n",
      "       0.05865641]), array([0.19479609, 0.19259135, 0.09170835, 0.20644683, 0.21347644,\n",
      "       0.10098093]))\n",
      "(array([0.23750093, 0.23482813, 0.07341994, 0.23024806, 0.1457099 ,\n",
      "       0.07829303]), array([0.28206638, 0.27480627, 0.05603842, 0.24836841, 0.08374192,\n",
      "       0.05497861]))\n",
      "(array([0.15567889, 0.1413334 , 0.18879748, 0.22530917, 0.13042975,\n",
      "       0.15845131]), array([0.18486193, 0.1838462 , 0.10957295, 0.21414769, 0.19474852,\n",
      "       0.11282271]))\n",
      "(array([0.19888756, 0.12787138, 0.18024441, 0.143327  , 0.2329529 ,\n",
      "       0.11671675]), array([0.20518977, 0.07113796, 0.25694921, 0.08444907, 0.25313362,\n",
      "       0.12914038]))\n",
      "(array([0.29184194, 0.0860847 , 0.15447205, 0.12571144, 0.26909306,\n",
      "       0.07279681]), array([0.22517894, 0.1575958 , 0.11248828, 0.18280397, 0.22950918,\n",
      "       0.09242383]))\n",
      "(array([0.19941006, 0.22086177, 0.09636745, 0.1675668 , 0.15418283,\n",
      "       0.16161109]), array([0.20748804, 0.2489573 , 0.10156654, 0.12215026, 0.09703697,\n",
      "       0.22280089]))\n",
      "(array([0.20251362, 0.12494093, 0.20235096, 0.16889541, 0.24287503,\n",
      "       0.05842405]), array([0.19179094, 0.19232376, 0.09345002, 0.21076215, 0.21019609,\n",
      "       0.10147705]))\n",
      "(array([0.17439462, 0.21279264, 0.07143993, 0.22298101, 0.17820492,\n",
      "       0.14018687]), array([0.13577136, 0.25584099, 0.02674513, 0.24860675, 0.10774539,\n",
      "       0.22529038]))\n",
      "(array([0.18904721, 0.20292548, 0.08341591, 0.20346893, 0.19764054,\n",
      "       0.12350194]), array([0.17680688, 0.2477816 , 0.04520471, 0.1643155 , 0.14008674,\n",
      "       0.22580457]))\n",
      "(array([0.26667449, 0.15246633, 0.19928669, 0.17372873, 0.04445916,\n",
      "       0.1633846 ]), array([0.21031183, 0.18336734, 0.11825626, 0.20213714, 0.16837998,\n",
      "       0.11754745]))\n",
      "(array([0.11955356, 0.12503696, 0.11618623, 0.24556977, 0.24066752,\n",
      "       0.15298596]), array([0.12422545, 0.11213005, 0.10402542, 0.25762732, 0.2723978 ,\n",
      "       0.12959396]))\n",
      "(array([0.23404165, 0.16353255, 0.17856744, 0.30528759, 0.0391913 ,\n",
      "       0.07937947]), array([0.15173968, 0.17589453, 0.17439092, 0.23575435, 0.07354786,\n",
      "       0.18867265]))\n",
      "(array([0.17158226, 0.05263024, 0.23138001, 0.24449083, 0.14048596,\n",
      "       0.1594307 ]), array([0.1102393 , 0.16244302, 0.18144666, 0.1993788 , 0.10318229,\n",
      "       0.24330994]))\n",
      "(array([0.1594535 , 0.26712638, 0.21134334, 0.17200693, 0.0469464 ,\n",
      "       0.14312345]), array([0.13049175, 0.22776707, 0.19257684, 0.1807802 , 0.07009794,\n",
      "       0.1982862 ]))\n",
      "(array([0.0944806 , 0.17955366, 0.17533213, 0.21159878, 0.1512192 ,\n",
      "       0.18781563]), array([0.0950757 , 0.18024734, 0.1747527 , 0.20826333, 0.14244986,\n",
      "       0.19921107]))\n",
      "(array([0.21281275, 0.07613306, 0.20958685, 0.2402783 , 0.14379775,\n",
      "       0.11739128]), array([0.15752864, 0.12814625, 0.19129452, 0.21628473, 0.12067847,\n",
      "       0.18606739]))\n",
      "(array([0.13295687, 0.18754082, 0.14179017, 0.19837222, 0.13816598,\n",
      "       0.20117395]), array([0.1568611 , 0.19002609, 0.12121494, 0.2037566 , 0.16727651,\n",
      "       0.16086477]))\n",
      "(array([0.09823584, 0.18393095, 0.1716758 , 0.19055137, 0.09588278,\n",
      "       0.25972326]), array([0.09823584, 0.18393095, 0.1716758 , 0.19055137, 0.09588278,\n",
      "       0.25972326]))\n",
      "(array([0.09222714, 0.20100478, 0.16410066, 0.16855232, 0.13534839,\n",
      "       0.2387667 ]), array([0.06083483, 0.29020671, 0.12452448, 0.05361869, 0.34153579,\n",
      "       0.12927949]))\n",
      "(array([0.09689609, 0.1779076 , 0.17799717, 0.18454628, 0.09947078,\n",
      "       0.26318209]), array([0.07846053, 0.09502327, 0.26498235, 0.10191318, 0.1488434 ,\n",
      "       0.31077728]))\n",
      "(array([0.10195594, 0.18444247, 0.16805287, 0.18832252, 0.1000608 ,\n",
      "       0.25716539]), array([0.26505769, 0.20686928, 0.0092116 , 0.09060262, 0.28323876,\n",
      "       0.14502005]))\n",
      "(array([0.18483153, 0.2037517 , 0.21353305, 0.08374384, 0.07582163,\n",
      "       0.23831825]), array([0.1479546 , 0.195311  , 0.19570806, 0.12922802, 0.08436471,\n",
      "       0.24743361]))\n",
      "(array([0.05056275, 0.13570357, 0.0993708 , 0.2677412 , 0.17691703,\n",
      "       0.26970465]), array([0.05244739, 0.13761013, 0.1022292 , 0.26468968, 0.17371354,\n",
      "       0.26931006]))\n",
      "(array([0.1285579 , 0.14097928, 0.09960583, 0.1588462 , 0.31136036,\n",
      "       0.16065043]), array([0.10572066, 0.17332858, 0.15388574, 0.18272513, 0.14907218,\n",
      "       0.2352677 ]))\n",
      "(array([0.12535127, 0.11974952, 0.06731149, 0.30361321, 0.20860237,\n",
      "       0.17537214]), array([0.11026979, 0.15544695, 0.12535846, 0.24072871, 0.14590823,\n",
      "       0.22228786]))\n",
      "(array([0.03764687, 0.26682253, 0.21404507, 0.14657478, 0.16976498,\n",
      "       0.16514577]), array([0.08164561, 0.20662799, 0.18327719, 0.17850987, 0.11611291,\n",
      "       0.23382643]))\n",
      "(array([0.14025642, 0.04748707, 0.197815  , 0.3544097 , 0.25270783,\n",
      "       0.00732397]), array([0.09846137, 0.18319863, 0.1718161 , 0.19143083, 0.09672449,\n",
      "       0.25836858]))\n",
      "(array([0.07883008, 0.13711458, 0.14107654, 0.31813884, 0.09827561,\n",
      "       0.22656435]), array([0.06436068, 0.10220713, 0.11826098, 0.41327122, 0.10005976,\n",
      "       0.20184024]))\n",
      "(array([0.08908925, 0.23347781, 0.14897957, 0.14419022, 0.19360948,\n",
      "       0.19065368]), array([0.08932552, 0.23219792, 0.14956585, 0.14538782, 0.19108501,\n",
      "       0.19243788]))\n",
      "(array([0.06227432, 0.1407853 , 0.20506726, 0.13300894, 0.21480968,\n",
      "       0.24405449]), array([0.09117546, 0.17546011, 0.1782316 , 0.17925398, 0.11923187,\n",
      "       0.25664699]))\n",
      "(array([0.21217266, 0.16951892, 0.13350957, 0.1047177 , 0.23468775,\n",
      "       0.14539339]), array([0.18600457, 0.17282896, 0.14227528, 0.12443129, 0.20280814,\n",
      "       0.17165176]))\n",
      "(array([0.21628892, 0.25179176, 0.10305491, 0.22985334, 0.05683617,\n",
      "       0.1421749 ]), array([0.2099321 , 0.24813765, 0.10674995, 0.22773704, 0.05893872,\n",
      "       0.14850454]))\n",
      "(array([0.12693775, 0.15428719, 0.19168754, 0.21167373, 0.10705043,\n",
      "       0.20836336]), array([0.12025677, 0.16118741, 0.18702939, 0.20675705, 0.10445092,\n",
      "       0.22031846]))\n",
      "(array([0.12084062, 0.14860558, 0.20613682, 0.15605786, 0.13162094,\n",
      "       0.23673819]), array([0.18989042, 0.04069876, 0.3114033 , 0.05069212, 0.24078866,\n",
      "       0.16652674]))\n",
      "(array([0.32002607, 0.05323414, 0.1755368 , 0.09916811, 0.28444087,\n",
      "       0.06759401]), array([0.10364852, 0.18074136, 0.17177003, 0.1883212 , 0.10048445,\n",
      "       0.25503444]))\n",
      "(array([0.13358621, 0.21178494, 0.15202868, 0.15661053, 0.07951116,\n",
      "       0.26647849]), array([0.17996559, 0.24832913, 0.12625182, 0.11208045, 0.05803172,\n",
      "       0.2753413 ]))\n",
      "(array([0.17777888, 0.13802438, 0.19664248, 0.17344455, 0.20826878,\n",
      "       0.10584093]), array([0.12317939, 0.16953531, 0.17950499, 0.18518692, 0.13112541,\n",
      "       0.21146798]))\n",
      "(array([0.11037254, 0.23824826, 0.07336787, 0.23198058, 0.08425655,\n",
      "       0.2617742 ]), array([0.10644715, 0.22068037, 0.1051637 , 0.21858109, 0.08801683,\n",
      "       0.26111086]))\n",
      "(array([0.1292067 , 0.21372224, 0.11693862, 0.17656229, 0.10903295,\n",
      "       0.25453721]), array([0.1433011 , 0.22727983, 0.0920285 , 0.17019606, 0.1150174 ,\n",
      "       0.25217711]))\n",
      "(array([0.24974233, 0.1501493 , 0.21582236, 0.16929239, 0.02092348,\n",
      "       0.19407014]), array([0.13389769, 0.17597937, 0.1820671 , 0.18554739, 0.07823873,\n",
      "       0.24426972]))\n",
      "(array([0.13841174, 0.07320697, 0.05391396, 0.29055374, 0.41433827,\n",
      "       0.02957532]), array([0.06195758, 0.28730963, 0.11157122, 0.05371163, 0.38384567,\n",
      "       0.10160427]))\n",
      "(array([0.23217997, 0.19160667, 0.16597725, 0.27462901, 0.10348897,\n",
      "       0.03211813]), array([0.11019166, 0.27116999, 0.13225465, 0.10748122, 0.29436882,\n",
      "       0.08453366]))\n",
      "(array([0.17699512, 0.04527654, 0.23479356, 0.24197054, 0.15972271,\n",
      "       0.14124153]), array([0.06141674, 0.29314631, 0.12330663, 0.04296737, 0.36906417,\n",
      "       0.11009878]))\n",
      "(array([0.05848232, 0.30737889, 0.12002889, 0.03510843, 0.37139   ,\n",
      "       0.10761146]), array([0.18805323, 0.31086415, 0.22916482, 0.15874698, 0.03077296,\n",
      "       0.08239785]))\n",
      "(array([0.07988908, 0.21703273, 0.15915755, 0.16738648, 0.25517612,\n",
      "       0.12135803]), array([0.06625753, 0.26611785, 0.13620081, 0.0935439 , 0.32361157,\n",
      "       0.11426834]))\n",
      "(array([0.1770524 , 0.14587249, 0.18009687, 0.16347226, 0.26151549,\n",
      "       0.07199049]), array([0.1498793 , 0.18175641, 0.16605804, 0.13415905, 0.28807936,\n",
      "       0.08006785]))\n",
      "(array([0.06001313, 0.30297014, 0.1159776 , 0.03844523, 0.37449882,\n",
      "       0.10809507]), array([0.18639514, 0.19794636, 0.09230104, 0.20475187, 0.21606229,\n",
      "       0.10254331]))\n",
      "(array([0.07162397, 0.25954915, 0.1381263 , 0.0931199 , 0.27067183,\n",
      "       0.16690884]), array([0.08143801, 0.23166234, 0.15049884, 0.12905111, 0.20621235,\n",
      "       0.20113735]))\n",
      "(array([0.05482614, 0.30728054, 0.11694934, 0.03161965, 0.3810014 ,\n",
      "       0.10832293]), array([0.05482614, 0.30728054, 0.11694934, 0.03161965, 0.3810014 ,\n",
      "       0.10832293]))\n",
      "(array([0.06873446, 0.17110805, 0.21324199, 0.07172544, 0.23840997,\n",
      "       0.2367801 ]), array([0.06321246, 0.22517241, 0.17501106, 0.0558023 , 0.29502284,\n",
      "       0.18577894]))\n",
      "(array([0.1870439 , 0.24554454, 0.04813071, 0.06669255, 0.32316801,\n",
      "       0.12942029]), array([0.13656003, 0.26911681, 0.07440729, 0.05330088, 0.34525017,\n",
      "       0.12136482]))\n",
      "(array([0.19841776, 0.23365775, 0.21331615, 0.02426993, 0.12797387,\n",
      "       0.20236454]), array([0.09095867, 0.28875455, 0.1411985 , 0.02977021, 0.31733108,\n",
      "       0.13198699]))\n",
      "(array([0.0109938 , 0.11645897, 0.04073804, 0.30332628, 0.2704362 ,\n",
      "       0.25804671]), array([0.04860664, 0.28020432, 0.1061355 , 0.07017288, 0.36531299,\n",
      "       0.12956767]))\n",
      "(array([0.11884736, 0.16783136, 0.08925433, 0.12574025, 0.36803294,\n",
      "       0.13029375]), array([0.07202151, 0.26982608, 0.10951078, 0.05689937, 0.37751822,\n",
      "       0.11422404]))\n",
      "(array([0.12015704, 0.13634288, 0.04101778, 0.28656091, 0.28416437,\n",
      "       0.13175702]), array([0.07205432, 0.26220318, 0.0969257 , 0.0988493 , 0.35546486,\n",
      "       0.11450265]))\n",
      "(array([0.05206238, 0.30582695, 0.12584532, 0.0400423 , 0.36536907,\n",
      "       0.11085397]), array([0.0238204 , 0.29097317, 0.21675046, 0.12611063, 0.20562745,\n",
      "       0.13671789]))\n",
      "(array([0.10055194, 0.16820358, 0.1601929 , 0.20440475, 0.31296354,\n",
      "       0.0536833 ]), array([0.09475615, 0.18583172, 0.15471173, 0.18250407, 0.32158741,\n",
      "       0.06060892]))\n",
      "(array([0.04682505, 0.10311185, 0.09321032, 0.4443822 , 0.15522429,\n",
      "       0.15724629]), array([0.05295602, 0.25955945, 0.11140073, 0.12809615, 0.3282297 ,\n",
      "       0.11975796]))\n",
      "(array([0.06373213, 0.29831028, 0.12043416, 0.05529854, 0.34861679,\n",
      "       0.1136081 ]), array([0.07127294, 0.29071504, 0.1233848 , 0.07534778, 0.32119632,\n",
      "       0.11808313]))\n",
      "(array([0.05520492, 0.13638888, 0.20941839, 0.11961359, 0.24148514,\n",
      "       0.23788908]), array([0.05483517, 0.30320611, 0.119154  , 0.03371761, 0.37767503,\n",
      "       0.11141207]))\n",
      "(array([0.22506299, 0.20389215, 0.10803153, 0.03646598, 0.35364554,\n",
      "       0.07290181]), array([0.12970454, 0.26180532, 0.11302686, 0.0337513 , 0.36896897,\n",
      "       0.09274301]))\n",
      "(array([0.07870097, 0.30804251, 0.11006023, 0.05219593, 0.34943948,\n",
      "       0.10156087]), array([0.30411034, 0.31523648, 0.04501816, 0.24646273, 0.05145404,\n",
      "       0.03771825]))\n",
      "(array([0.08010319, 0.26009058, 0.14114134, 0.08432053, 0.30973916,\n",
      "       0.12460518]), array([0.12368163, 0.17873361, 0.18284912, 0.17517852, 0.18688081,\n",
      "       0.1526763 ]))\n",
      "(array([0.13928144, 0.14556422, 0.23956746, 0.02335938, 0.32503968,\n",
      "       0.12718782]), array([0.1280399 , 0.16708971, 0.22324619, 0.02445888, 0.33248855,\n",
      "       0.12467678]))\n",
      "(array([0.08630636, 0.27735641, 0.12377575, 0.03921809, 0.37030388,\n",
      "       0.10303951]), array([0.29395853, 0.07996868, 0.16880462, 0.08933951, 0.29974006,\n",
      "       0.06818861]))\n",
      "(array([0.1995488 , 0.27923825, 0.10762099, 0.0735693 , 0.07499835,\n",
      "       0.26502431]), array([0.07059331, 0.3042254 , 0.11593304, 0.03618996, 0.34766315,\n",
      "       0.12539515]))\n",
      "(array([0.13374976, 0.20927629, 0.1636549 , 0.10444063, 0.30763102,\n",
      "       0.0812474 ]), array([0.12379881, 0.22163299, 0.15776611, 0.09525912, 0.3168818 ,\n",
      "       0.08466117]))\n",
      "(array([0.08972547, 0.28960973, 0.05668696, 0.1566348 , 0.21426531,\n",
      "       0.19307773]), array([0.08368453, 0.29266848, 0.06711815, 0.13499515, 0.24312669,\n",
      "       0.178407  ]))\n",
      "(array([0.06620318, 0.30249817, 0.10936203, 0.04348641, 0.35691936,\n",
      "       0.12153086]), array([0.16289492, 0.2618535 , 0.04487862, 0.14434022, 0.15224962,\n",
      "       0.23378312]))\n",
      "(array([0.10444452, 0.27175616, 0.14046206, 0.06016881, 0.29971894,\n",
      "       0.12344951]), array([0.23578581, 0.1777221 , 0.20270093, 0.13573926, 0.08456189,\n",
      "       0.16349001]))\n",
      "(array([0.14010336, 0.0560794 , 0.06624665, 0.29541435, 0.39613392,\n",
      "       0.04602232]), array([0.0825606 , 0.08615657, 0.25359291, 0.11313947, 0.17348002,\n",
      "       0.29107044]))\n",
      "(array([0.26553587, 0.14854087, 0.19069843, 0.32386221, 0.03103702,\n",
      "       0.0403256 ]), array([0.09913041, 0.09595517, 0.26188784, 0.12253645, 0.13825076,\n",
      "       0.28223936]))\n",
      "(array([0.13460713, 0.05775937, 0.25502251, 0.1809026 , 0.1499228 ,\n",
      "       0.22178558]), array([0.12609938, 0.06238285, 0.25743206, 0.16832374, 0.15029406,\n",
      "       0.2354679 ]))\n",
      "(array([0.08032591, 0.09520837, 0.2702112 , 0.09776332, 0.14875969,\n",
      "       0.30773152]), array([0.18850429, 0.30475405, 0.2333369 , 0.16038053, 0.02483327,\n",
      "       0.08819097]))\n",
      "(array([0.07961374, 0.10425121, 0.25499472, 0.11932884, 0.1603941 ,\n",
      "       0.28141739]), array([0.08882751, 0.16061875, 0.19471803, 0.20588999, 0.18982358,\n",
      "       0.16012215]))\n",
      "(array([0.08199121, 0.0872851 , 0.27025216, 0.10015702, 0.1528351 ,\n",
      "       0.3074794 ]), array([0.26723513, 0.02206317, 0.23025712, 0.26176273, 0.16818973,\n",
      "       0.05049212]))\n",
      "(array([0.18983567, 0.19203941, 0.09407536, 0.20981256, 0.20868804,\n",
      "       0.10554895]), array([0.07886724, 0.09059646, 0.26855765, 0.09767298, 0.15330306,\n",
      "       0.31100261]))\n",
      "(array([0.08920946, 0.14334934, 0.21426526, 0.15009276, 0.12005648,\n",
      "       0.28302669]), array([0.08614716, 0.12958153, 0.22871426, 0.13636669, 0.1282577 ,\n",
      "       0.29093267]))\n",
      "(array([0.07704469, 0.08974489, 0.27077691, 0.09568868, 0.15321149,\n",
      "       0.31353334]), array([0.05490223, 0.30653557, 0.11747614, 0.03183906, 0.38022131,\n",
      "       0.1090257 ]))\n",
      "(array([0.07712078, 0.08899992, 0.27130371, 0.09590809, 0.1524314 ,\n",
      "       0.3142361 ]), array([0.07712078, 0.08899992, 0.27130371, 0.09590809, 0.1524314 ,\n",
      "       0.3142361 ]))\n",
      "(array([0.2667623 , 0.20613589, 0.00838297, 0.08845301, 0.28599725,\n",
      "       0.14426858]), array([0.07913627, 0.09024483, 0.26850942, 0.09582886, 0.15385092,\n",
      "       0.3124297 ]))\n",
      "(array([0.09238017, 0.10122567, 0.2680335 , 0.08878505, 0.14388931,\n",
      "       0.30568629]), array([0.2192909 , 0.202906  , 0.24083552, 0.02954353, 0.07284564,\n",
      "       0.23457841]))\n",
      "(array([0.0448979 , 0.08917043, 0.16379406, 0.20546296, 0.19800278,\n",
      "       0.29867187]), array([0.03699719, 0.08921224, 0.13743384, 0.23232465, 0.2091764 ,\n",
      "       0.29485568]))\n",
      "(array([0.09290287, 0.10008263, 0.22054987, 0.11066966, 0.20924673,\n",
      "       0.26654823]), array([0.12026064, 0.11929419, 0.13256961, 0.1362584 , 0.30773442,\n",
      "       0.18388274]))\n",
      "(array([0.11517781, 0.09043065, 0.11323307, 0.25876102, 0.2194945 ,\n",
      "       0.20290295]), array([0.09932819, 0.08983479, 0.17906479, 0.19093763, 0.19156471,\n",
      "       0.24926989]))\n",
      "(array([0.05371407, 0.17271664, 0.25224186, 0.11203406, 0.1681142 ,\n",
      "       0.24117916]), array([0.04446335, 0.20580285, 0.2447083 , 0.11840731, 0.17431231,\n",
      "       0.21230587]))\n",
      "(array([0.09063021, 0.0799927 , 0.25566487, 0.15121152, 0.1739911 ,\n",
      "       0.2485096 ]), array([0.12697252, 0.05576197, 0.21359413, 0.29998574, 0.23198984,\n",
      "       0.07169579]))\n",
      "(array([0.04594731, 0.05642767, 0.09332749, 0.52713097, 0.10399454,\n",
      "       0.17317202]), array([0.07612839, 0.087963  , 0.26563795, 0.10963581, 0.15088944,\n",
      "       0.30974541]))\n",
      "(array([0.07753356, 0.11501604, 0.25180843, 0.09632902, 0.1708396 ,\n",
      "       0.28847334]), array([0.07976615, 0.25572865, 0.1463649 , 0.09860573, 0.2704035 ,\n",
      "       0.14913107]))\n",
      "(array([0.06783517, 0.10735957, 0.24600699, 0.10684535, 0.1887685 ,\n",
      "       0.28318442]), array([0.06449956, 0.11395481, 0.23691978, 0.11077429, 0.20182167,\n",
      "       0.2720299 ]))\n",
      "(array([0.15323675, 0.11271291, 0.21418968, 0.07633072, 0.21705625,\n",
      "       0.22647369]), array([0.22382543, 0.13470394, 0.16122308, 0.05817499, 0.27698826,\n",
      "       0.1450843 ]))\n",
      "(array([0.2827987 , 0.27511077, 0.0801292 , 0.23621438, 0.0437655 ,\n",
      "       0.08198145]), array([0.12230726, 0.1298876 , 0.22930357, 0.12673272, 0.12855801,\n",
      "       0.26321084]))\n",
      "(array([0.10165589, 0.10353006, 0.24935584, 0.14098082, 0.13985855,\n",
      "       0.26461884]), array([0.12442358, 0.1170135 , 0.228989  , 0.18280668, 0.12819141,\n",
      "       0.21857582]))\n",
      "(array([0.19064628, 0.01887039, 0.33383052, 0.02906342, 0.25649829,\n",
      "       0.17109111]), array([0.0989697 , 0.07550291, 0.28333751, 0.08304328, 0.17245993,\n",
      "       0.28668667]))\n",
      "(array([0.10026426, 0.08536924, 0.26238693, 0.09600407, 0.16516369,\n",
      "       0.29081182]), array([0.30229527, 0.05367523, 0.18454781, 0.09684197, 0.27631024,\n",
      "       0.08632947]))\n",
      "(array([0.10242432, 0.12327316, 0.24114732, 0.09265468, 0.13214917,\n",
      "       0.30835135]), array([0.19001243, 0.24190987, 0.13676108, 0.08139302, 0.06194232,\n",
      "       0.28798128]))\n",
      "(array([0.11152734, 0.09848593, 0.25299615, 0.11567846, 0.17738131,\n",
      "       0.24393082]), array([0.16831587, 0.11414273, 0.22277924, 0.14830973, 0.2185615 ,\n",
      "       0.12789093]))\n",
      "(array([0.08193068, 0.11057647, 0.24062659, 0.11494466, 0.14361033,\n",
      "       0.30831126]), array([0.11377395, 0.25342112, 0.03753289, 0.24097373, 0.08521167,\n",
      "       0.26908664]))\n",
      "(array([0.16706751, 0.24460746, 0.05464499, 0.15173539, 0.1299669 ,\n",
      "       0.25197775]), array([0.08432523, 0.10146358, 0.25395004, 0.10037968, 0.15063206,\n",
      "       0.30924941]))\n",
      "(array([0.21630919, 0.12455012, 0.24117163, 0.14160423, 0.05275843,\n",
      "       0.2236064 ]), array([0.14621578, 0.10664752, 0.25634574, 0.11859227, 0.10295239,\n",
      "       0.2692463 ]))\n",
      "(array([0.23107663, 0.1602233 , 0.0187275 , 0.15698529, 0.32711601,\n",
      "       0.10587127]), array([0.18324434, 0.10039355, 0.03539702, 0.24403422, 0.3774833 ,\n",
      "       0.05944757]))\n",
      "(array([0.27918514, 0.17860894, 0.10301705, 0.23372666, 0.13738162,\n",
      "       0.06808059]), array([0.27713815, 0.18426798, 0.08385419, 0.20513769, 0.16689153,\n",
      "       0.08271045]))\n",
      "(array([0.24544455, 0.15911087, 0.07010676, 0.13355039, 0.24917318,\n",
      "       0.14261425]), array([0.20691897, 0.07941223, 0.17663277, 0.20814164, 0.18602906,\n",
      "       0.14286532]))\n",
      "(array([0.26829286, 0.20803256, 0.00701483, 0.08883853, 0.28574144,\n",
      "       0.14207977]), array([0.19219434, 0.31031074, 0.23081822, 0.16177101, 0.02283689,\n",
      "       0.0820688 ]))\n",
      "(array([0.22481422, 0.19957427, 0.04840348, 0.12328974, 0.26521157,\n",
      "       0.13870673]), array([0.13528404, 0.18367657, 0.13559423, 0.19439478, 0.21999149,\n",
      "       0.13105889]))\n",
      "(array([0.27072231, 0.09809172, 0.13625523, 0.19217332, 0.21798447,\n",
      "       0.08477295]), array([0.27016104, 0.12963744, 0.09853901, 0.16221213, 0.23802574,\n",
      "       0.10142464]))\n",
      "(array([0.21440596, 0.19769978, 0.06597905, 0.1751508 , 0.23257909,\n",
      "       0.11418532]), array([0.24595396, 0.20331697, 0.03093892, 0.12480043, 0.26439739,\n",
      "       0.13059232]))\n",
      "(array([0.17568049, 0.19457974, 0.09625413, 0.1441516 , 0.1828601 ,\n",
      "       0.20647394]), array([0.19133314, 0.19673201, 0.08101034, 0.13477355, 0.20043945,\n",
      "       0.1957115 ]))\n",
      "(array([0.20947729, 0.23506979, 0.03645426, 0.07264336, 0.31335542,\n",
      "       0.13299988]), array([0.11412664, 0.27959155, 0.08608375, 0.04735006, 0.35506276,\n",
      "       0.11778523]))\n",
      "(array([0.23227801, 0.18483596, 0.0561923 , 0.08980864, 0.26170972,\n",
      "       0.17517536]), array([0.11362056, 0.11154476, 0.22070008, 0.09447323, 0.17813845,\n",
      "       0.28152292]))\n",
      "(array([0.26877779, 0.2073808 , 0.00558867, 0.08837378, 0.28741677,\n",
      "       0.14246218]), array([0.26877779, 0.2073808 , 0.00558867, 0.08837378, 0.28741677,\n",
      "       0.14246218]))\n",
      "(array([0.25261026, 0.211042  , 0.11516403, 0.05722041, 0.18202809,\n",
      "       0.18193521]), array([0.25071783, 0.21147055, 0.12798995, 0.05357387, 0.16969223,\n",
      "       0.18655557]))\n",
      "(array([0.04990302, 0.10955331, 0.02576428, 0.29854529, 0.26033222,\n",
      "       0.25590188]), array([0.22364909, 0.18721023, 0.00974858, 0.131708  , 0.28183234,\n",
      "       0.16585175]))\n",
      "(array([0.20823029, 0.17225524, 0.0403599 , 0.11695003, 0.32260122,\n",
      "       0.13960333]), array([0.19659024, 0.16550247, 0.04704455, 0.12244372, 0.32936531,\n",
      "       0.13905372]))\n",
      "(array([0.26356652, 0.20277545, 0.00619968, 0.09890071, 0.28627495,\n",
      "       0.14228269]), array([0.14259649, 0.09587087, 0.02038313, 0.34326364, 0.25976964,\n",
      "       0.13811623]))\n",
      "(array([0.20635726, 0.22807805, 0.06103861, 0.10000501, 0.26286856,\n",
      "       0.14165251]), array([0.08347717, 0.26882233, 0.17019651, 0.12290206, 0.21454333,\n",
      "       0.14005861]))\n",
      "(array([0.19223994, 0.11155561, 0.12034944, 0.24760834, 0.26721249,\n",
      "       0.06103418]), array([0.21701981, 0.14257994, 0.08319453, 0.19605461, 0.27375383,\n",
      "       0.08739729]))\n",
      "(array([0.04871045, 0.05794099, 0.08628462, 0.53326646, 0.1055561 ,\n",
      "       0.1682414 ]), array([0.26502227, 0.20483056, 0.00696577, 0.09596602, 0.28431326,\n",
      "       0.14290211]))\n",
      "(array([0.20316851, 0.23325035, 0.04777957, 0.09207968, 0.28790204,\n",
      "       0.13581985]), array([0.14578822, 0.25587523, 0.08467871, 0.09532077, 0.28832644,\n",
      "       0.13001063]))\n",
      "(array([0.1649228 , 0.17087643, 0.10578213, 0.10458577, 0.26346286,\n",
      "       0.19037002]), array([0.15906894, 0.16881883, 0.1114296 , 0.10549957, 0.26211268,\n",
      "       0.19307038]))\n",
      "(array([0.28415994, 0.18321255, 0.05421769, 0.06380459, 0.31416773,\n",
      "       0.10043749]), array([0.28455924, 0.18258518, 0.05548003, 0.06316681, 0.31486215,\n",
      "       0.09934658]))\n",
      "(array([0.30243863, 0.26913257, 0.02408867, 0.1899493 , 0.13532251,\n",
      "       0.07906832]), array([0.29432434, 0.25424668, 0.01962906, 0.16546349, 0.17198638,\n",
      "       0.09435005]))\n",
      "(array([0.17075577, 0.14533968, 0.17039359, 0.20250102, 0.14687151,\n",
      "       0.16413843]), array([0.24698071, 0.19358476, 0.04223621, 0.11375217, 0.25616383,\n",
      "       0.14728231]))\n",
      "(array([0.23960703, 0.10268217, 0.18195049, 0.05096604, 0.28177261,\n",
      "       0.14302167]), array([0.24166596, 0.11007202, 0.1695025 , 0.05360635, 0.28217098,\n",
      "       0.14298218]))\n",
      "(array([0.31053928, 0.09141744, 0.13091696, 0.09468593, 0.28861502,\n",
      "       0.08382537]), array([0.28367727, 0.16600792, 0.05030273, 0.0906258 , 0.28784428,\n",
      "       0.121542  ]))\n",
      "(array([0.2399209 , 0.24451796, 0.06011371, 0.08284972, 0.15476562,\n",
      "       0.21783209]), array([0.24417285, 0.23904595, 0.05207965, 0.08366367, 0.17431125,\n",
      "       0.20672662]))\n",
      "(array([0.20459126, 0.12599824, 0.19884489, 0.16582506, 0.24475358,\n",
      "       0.05998697]), array([0.26690896, 0.20501129, 0.01121545, 0.09062882, 0.28617461,\n",
      "       0.14006086]))\n",
      "(array([0.22456036, 0.22728736, 0.00596171, 0.13890395, 0.2252902 ,\n",
      "       0.17799642]), array([0.16280128, 0.25509112, 0.00648273, 0.20948013, 0.13851718,\n",
      "       0.22762756]))\n",
      "(array([0.19010258, 0.24874752, 0.03198082, 0.14484427, 0.15484332,\n",
      "       0.22948148]), array([0.25294717, 0.2157044 , 0.01089917, 0.09973648, 0.26074102,\n",
      "       0.15997176]))\n",
      "(array([0.281885  , 0.15599452, 0.17951566, 0.14822015, 0.0634206 ,\n",
      "       0.17096407]), array([0.27229697, 0.193584  , 0.05228667, 0.10444205, 0.2272756 ,\n",
      "       0.15011471]))\n",
      "(array([0.15248305, 0.06585904, 0.06327445, 0.29001691, 0.38966862,\n",
      "       0.03869794]), array([0.22761042, 0.20250877, 0.22282671, 0.04504931, 0.09181747,\n",
      "       0.21018731]))\n",
      "(array([0.26649284, 0.17918673, 0.20364121, 0.22016281, 0.03570505,\n",
      "       0.09481136]), array([0.25560295, 0.19144115, 0.21520666, 0.15274826, 0.04545488,\n",
      "       0.1395461 ]))\n",
      "(array([0.2011727 , 0.09463381, 0.23991355, 0.17363952, 0.11897733,\n",
      "       0.17166309]), array([0.21696332, 0.15164025, 0.23880262, 0.10209923, 0.09311169,\n",
      "       0.1973829 ]))\n",
      "(array([0.2018879 , 0.28819424, 0.23350857, 0.1290173 , 0.03141159,\n",
      "       0.1159804 ]), array([0.2243718 , 0.23790001, 0.23630112, 0.05563896, 0.05405352,\n",
      "       0.19173459]))\n",
      "(array([0.10443388, 0.17946465, 0.18382509, 0.21036888, 0.18556526,\n",
      "       0.13634223]), array([0.22143687, 0.21153714, 0.23214925, 0.04136235, 0.07652457,\n",
      "       0.21698981]))\n",
      "(array([0.24328706, 0.16981783, 0.23562052, 0.07908894, 0.08856529,\n",
      "       0.18362036]), array([0.26336879, 0.06566228, 0.23115036, 0.20934322, 0.1443317 ,\n",
      "       0.08614365]))\n",
      "(array([0.22826892, 0.21198935, 0.21618754, 0.05007273, 0.08553807,\n",
      "       0.20794338]), array([0.19786351, 0.19677836, 0.11270707, 0.18392521, 0.18832518,\n",
      "       0.12040067]))\n",
      "(array([0.19483052, 0.20604036, 0.2183662 , 0.07141104, 0.07350521,\n",
      "       0.23584667]), array([0.13795561, 0.19302235, 0.19087491, 0.14156082, 0.08668112,\n",
      "       0.2499052 ]))\n",
      "(array([0.16496208, 0.25081126, 0.19086346, 0.02598236, 0.18692724,\n",
      "       0.1804536 ]), array([0.12441435, 0.27160103, 0.16365119, 0.02805779, 0.25837772,\n",
      "       0.15389792]))\n",
      "(array([0.18529159, 0.1756659 , 0.24812184, 0.0454143 , 0.0918782 ,\n",
      "       0.25362817]), array([0.12637948, 0.12846577, 0.26074718, 0.07291428, 0.12485675,\n",
      "       0.28663653]))\n",
      "(array([0.26588484, 0.20803592, 0.02519565, 0.08279932, 0.26855895,\n",
      "       0.14952533]), array([0.23744325, 0.21447663, 0.21795834, 0.02799495, 0.08316138,\n",
      "       0.21896546]))\n",
      "(array([0.23455029, 0.21513175, 0.23756531, 0.02242049, 0.06430355,\n",
      "       0.2260286 ]), array([0.23455029, 0.21513175, 0.23756531, 0.02242049, 0.06430355,\n",
      "       0.2260286 ]))\n",
      "(array([0.09829431, 0.14056324, 0.11443519, 0.21185806, 0.17723601,\n",
      "       0.2576132 ]), array([0.14103029, 0.16395127, 0.15305431, 0.15244195, 0.14181533,\n",
      "       0.24770685]))\n",
      "(array([0.14500937, 0.13809171, 0.09599286, 0.13931421, 0.33721988,\n",
      "       0.14437197]), array([0.22558365, 0.20741695, 0.22338822, 0.03412625, 0.09163343,\n",
      "       0.21785149]))\n",
      "(array([0.19093156, 0.1595265 , 0.14034354, 0.17117707, 0.15153838,\n",
      "       0.18648296]), array([0.18100395, 0.14687077, 0.11821591, 0.20503399, 0.17139299,\n",
      "       0.17748239]))\n",
      "(array([0.06546214, 0.27404732, 0.22812551, 0.11121445, 0.16385196,\n",
      "       0.15729862]), array([0.1901448 , 0.23060401, 0.23508625, 0.04573933, 0.0904467 ,\n",
      "       0.20797891]))\n",
      "(array([0.18399493, 0.12464052, 0.21627761, 0.20131486, 0.16601046,\n",
      "       0.10776162]), array([0.19103731, 0.13724599, 0.219243  , 0.1763948 , 0.15184264,\n",
      "       0.12423627]))\n",
      "(array([0.14189912, 0.13706976, 0.16431065, 0.27577008, 0.08294616,\n",
      "       0.19800422]), array([0.1376061 , 0.13345274, 0.16091638, 0.2875091 , 0.08380997,\n",
      "       0.19670571]))\n",
      "(array([0.12068395, 0.26426639, 0.15591472, 0.07892621, 0.2299037 ,\n",
      "       0.15030502]), array([0.19404527, 0.23261014, 0.20852021, 0.04252095, 0.12321155,\n",
      "       0.19909188]))\n",
      "(array([0.05800404, 0.13360292, 0.21202666, 0.1201668 , 0.23545395,\n",
      "       0.24074563]), array([0.2317602 , 0.21384329, 0.2371617 , 0.02396525, 0.06700837,\n",
      "       0.22626119]))\n",
      "(array([0.24297435, 0.20782542, 0.2203727 , 0.02450453, 0.10002817,\n",
      "       0.20429482]), array([0.29151733, 0.16572327, 0.12130166, 0.03651359, 0.30588849,\n",
      "       0.07905566]))\n",
      "(array([0.24227487, 0.22347074, 0.22107724, 0.04264394, 0.06063191,\n",
      "       0.2099013 ]), array([0.3202606 , 0.30765946, 0.05461713, 0.24681558, 0.02356376,\n",
      "       0.04708348]))\n",
      "(array([0.15092424, 0.13346319, 0.20774209, 0.22316119, 0.11444015,\n",
      "       0.17026913]), array([0.23258474, 0.21321221, 0.23686434, 0.02713872, 0.06548196,\n",
      "       0.22471803]))\n",
      "(array([0.22051022, 0.08160145, 0.30650749, 0.0184597 , 0.19940299,\n",
      "       0.17351816]), array([0.22653527, 0.13890369, 0.27692213, 0.02015941, 0.14142738,\n",
      "       0.19605212]))\n",
      "(array([0.24416843, 0.19766164, 0.2310112 , 0.0303062 , 0.08808623,\n",
      "       0.2087663 ]), array([0.31582061, 0.06751467, 0.18218513, 0.08905225, 0.26525986,\n",
      "       0.08016749]))\n",
      "(array([0.23222177, 0.22252269, 0.22171109, 0.0291659 , 0.06156231,\n",
      "       0.23281624]), array([0.21764449, 0.26879217, 0.12245891, 0.0713942 , 0.04440134,\n",
      "       0.27530889]))\n",
      "(array([0.21370449, 0.15520145, 0.21589049, 0.11782089, 0.18167652,\n",
      "       0.11570615]), array([0.22356823, 0.18355904, 0.22614649, 0.07267971, 0.12613844,\n",
      "       0.1679081 ]))\n",
      "(array([0.17769125, 0.24448438, 0.12444704, 0.1389122 , 0.0702299 ,\n",
      "       0.24423523]), array([0.17544289, 0.24564506, 0.11997404, 0.14351859, 0.07046425,\n",
      "       0.24495517]))\n",
      "(array([0.21963636, 0.2255083 , 0.18801396, 0.05552165, 0.08010464,\n",
      "       0.23121509]), array([0.18918589, 0.24669458, 0.08684267, 0.12310582, 0.11236647,\n",
      "       0.24180457]))\n",
      "(array([0.25214936, 0.18989139, 0.23363683, 0.07151689, 0.04318486,\n",
      "       0.20962067]), array([0.26780512, 0.16743808, 0.23014213, 0.11519202, 0.02439812,\n",
      "       0.19502452]))\n",
      "(array([0.08433505, 0.06895311, 0.04044326, 0.32535696, 0.34655381,\n",
      "       0.13435782]), array([0.06598243, 0.0736657 , 0.03801678, 0.32916829, 0.32537652,\n",
      "       0.16779028]))\n",
      "(array([0.272442  , 0.15196485, 0.17319815, 0.35003064, 0.02956274,\n",
      "       0.02280163]), array([0.0198778 , 0.09291402, 0.03800861, 0.34233945, 0.24204143,\n",
      "       0.26481868]))\n",
      "(array([0.13648909, 0.04648209, 0.18551646, 0.27664416, 0.17595797,\n",
      "       0.17891022]), array([0.05187094, 0.07404296, 0.08555859, 0.31855361, 0.22657528,\n",
      "       0.2433986 ]))\n",
      "(array([0.07173236, 0.16875012, 0.10239301, 0.27753314, 0.17107983,\n",
      "       0.20851154]), array([0.12475136, 0.23159512, 0.15977556, 0.22658213, 0.10482952,\n",
      "       0.1524663 ]))\n",
      "(array([0.04920453, 0.13378276, 0.1061519 , 0.28409005, 0.22550544,\n",
      "       0.20126532]), array([0.04689024, 0.13147004, 0.10218133, 0.2871002 , 0.22702863,\n",
      "       0.20532956]))\n",
      "(array([0.18367212, 0.043185  , 0.1632831 , 0.29110883, 0.19709338,\n",
      "       0.12165758]), array([0.09320774, 0.0665461 , 0.09584666, 0.31678236, 0.22624784,\n",
      "       0.20136928]))\n",
      "(array([0.10670869, 0.14627002, 0.06343078, 0.27077831, 0.23009026,\n",
      "       0.18272194]), array([0.08964774, 0.13674869, 0.05782272, 0.28267866, 0.23421723,\n",
      "       0.19888496]))\n",
      "(array([0.08268716, 0.16820149, 0.14809337, 0.215727  , 0.12231228,\n",
      "       0.26297871]), array([0.02032299, 0.10511221, 0.05350663, 0.31670389, 0.22831829,\n",
      "       0.276036  ]))\n",
      "(array([0.00800197, 0.10343421, 0.03553614, 0.32187195, 0.26288944,\n",
      "       0.26826629]), array([0.05159847, 0.29322908, 0.11133739, 0.05162721, 0.37285975,\n",
      "       0.11934809]))\n",
      "(array([0.04200274, 0.08918575, 0.15413455, 0.21530624, 0.20209728,\n",
      "       0.29727345]), array([0.03989235, 0.08919692, 0.14709336, 0.22248137, 0.20508191,\n",
      "       0.2962541 ]))\n",
      "(array([0.21626027, 0.18390776, 0.01042967, 0.13880301, 0.28091802,\n",
      "       0.16968127]), array([0.05729183, 0.11285579, 0.02508319, 0.29145029, 0.26124654,\n",
      "       0.25207236]))\n",
      "(array([0.13613246, 0.16127084, 0.1486283 , 0.15925144, 0.14587478,\n",
      "       0.24884219]), array([0.10319214, 0.14324366, 0.1188612 , 0.20504857, 0.17317656,\n",
      "       0.25647786]))\n",
      "(array([0.00477431, 0.08938275, 0.02992419, 0.34187952, 0.25474779,\n",
      "       0.27929145]), array([0.00477431, 0.08938275, 0.02992419, 0.34187952, 0.25474779,\n",
      "       0.27929145]))\n",
      "(array([0.11645526, 0.12425988, 0.07407267, 0.17949945, 0.34816545,\n",
      "       0.1575473 ]), array([0.02436178, 0.09549977, 0.0376673 , 0.31340004, 0.2711321 ,\n",
      "       0.25793901]))\n",
      "(array([0.03743307, 0.08984643, 0.02772495, 0.34481291, 0.25570334,\n",
      "       0.2444793 ]), array([0.10472645, 0.09080184, 0.02319339, 0.35085717, 0.25767226,\n",
      "       0.17274888]))\n",
      "(array([0.01089166, 0.1645751 , 0.10345796, 0.26397856, 0.2304199 ,\n",
      "       0.22667682]), array([0.01493929, 0.21432723, 0.15211268, 0.21243424, 0.214323  ,\n",
      "       0.19186356]))\n",
      "(array([0.12813764, 0.0506323 , 0.18267076, 0.35406939, 0.25365854,\n",
      "       0.03083136]), array([0.01711862, 0.0855052 , 0.04520873, 0.34309929, 0.25463879,\n",
      "       0.25442937]))\n",
      "(array([0.01821119, 0.07801541, 0.04923232, 0.40842056, 0.20381843,\n",
      "       0.24230208]), array([0.03151804, 0.06675809, 0.06835359, 0.47431765, 0.15338194,\n",
      "       0.20567069]))\n",
      "(array([0.01418684, 0.11339472, 0.0420256 , 0.31156493, 0.25899988,\n",
      "       0.25982803]), array([0.0707664 , 0.2577328 , 0.11476821, 0.12934126, 0.28455961,\n",
      "       0.14283172]))\n",
      "(array([0.04438605, 0.12309829, 0.17261769, 0.1689751 , 0.24171994,\n",
      "       0.24920293]), array([0.0156022 , 0.09859891, 0.06892956, 0.29461598, 0.25118662,\n",
      "       0.27106673]))\n",
      "(array([0.15178574, 0.12376604, 0.06687283, 0.19082641, 0.29801208,\n",
      "       0.1687369 ]), array([0.15292996, 0.12403365, 0.06716041, 0.18965073, 0.29834882,\n",
      "       0.16787643]))\n",
      "(array([0.31270303, 0.30528355, 0.03774111, 0.27057765, 0.03099663,\n",
      "       0.04269804]), array([0.02005645, 0.10009766, 0.03031214, 0.33834089, 0.24364327,\n",
      "       0.26754959]))\n",
      "(array([0.08232197, 0.11205843, 0.12518419, 0.28056607, 0.17991898,\n",
      "       0.21995037]), array([0.07141103, 0.10886797, 0.11178113, 0.28919286, 0.19044737,\n",
      "       0.22829964]))\n",
      "(array([0.06782968, 0.06388102, 0.1258304 , 0.24301641, 0.26135899,\n",
      "       0.23808349]), array([0.14943982, 0.03087511, 0.2499581 , 0.11506172, 0.26991562,\n",
      "       0.18474963]))\n",
      "(array([0.18113966, 0.06774675, 0.11006291, 0.20716172, 0.27360989,\n",
      "       0.16027906]), array([0.14907339, 0.07168055, 0.09549231, 0.23165575, 0.27018043,\n",
      "       0.18191757]))\n",
      "(array([0.01238955, 0.09613928, 0.03269771, 0.3323401 , 0.24704045,\n",
      "       0.27939291]), array([0.20770072, 0.26942658, 0.10383117, 0.08767902, 0.04936743,\n",
      "       0.28199507]))\n",
      "(array([0.03115469, 0.09394668, 0.053186  , 0.31871741, 0.25325032,\n",
      "       0.24974489]), array([0.17634204, 0.1190648 , 0.18120987, 0.19124221, 0.24500888,\n",
      "       0.0871322 ]))\n",
      "(array([0.0840463 , 0.21866949, 0.01385629, 0.28485499, 0.13051629,\n",
      "       0.26805663]), array([0.03931186, 0.14571093, 0.02292367, 0.31703483, 0.20062209,\n",
      "       0.27439662]))\n",
      "(array([0.03821438, 0.12246587, 0.03137765, 0.30524831, 0.22977487,\n",
      "       0.27291893]), array([0.14083189, 0.22398801, 0.03583786, 0.19283818, 0.15314049,\n",
      "       0.25336358]))\n",
      "(array([0.02093596, 0.0924244 , 0.04122863, 0.33165193, 0.24026556,\n",
      "       0.27349352]), array([0.26924253, 0.13915607, 0.21490922, 0.174516  , 0.01776165,\n",
      "       0.18441453]))\n",
      "(array([0.14268832, 0.07641663, 0.05853636, 0.2640777 , 0.40136656,\n",
      "       0.05691443]), array([0.13889758, 0.10719632, 0.07181526, 0.19958799, 0.38036574,\n",
      "       0.10213709]))\n",
      "(array([0.15346024, 0.13326473, 0.09325096, 0.17395209, 0.32457722,\n",
      "       0.12149476]), array([0.27012799, 0.1526083 , 0.16984737, 0.32755845, 0.05682893,\n",
      "       0.02302897]))\n",
      "(array([0.1758129 , 0.04736621, 0.21510111, 0.23659347, 0.18322435,\n",
      "       0.14190196]), array([0.14381555, 0.114153  , 0.10786553, 0.16774475, 0.32911089,\n",
      "       0.13731028]))\n",
      "(array([0.16181373, 0.21397935, 0.15145698, 0.15621234, 0.20557755,\n",
      "       0.11096006]), array([0.16593842, 0.22736006, 0.16260317, 0.15704339, 0.18013377,\n",
      "       0.10692119]))\n",
      "(array([0.10547539, 0.16147113, 0.14783656, 0.20453113, 0.25056815,\n",
      "       0.13011764]), array([0.12188781, 0.14477582, 0.11238824, 0.17579957, 0.3117679 ,\n",
      "       0.13338066]))\n",
      "(array([0.26063262, 0.02962606, 0.21677753, 0.25631546, 0.18511665,\n",
      "       0.05153168]), array([0.14751567, 0.1210992 , 0.09424381, 0.16071617, 0.34802655,\n",
      "       0.1283986 ]))\n",
      "(array([0.15904986, 0.15658189, 0.08575674, 0.17610584, 0.30034531,\n",
      "       0.12216036]), array([0.168575  , 0.16743097, 0.08738833, 0.18649159, 0.27376416,\n",
      "       0.11634996]))\n",
      "(array([0.12735284, 0.14268626, 0.10247003, 0.16010623, 0.30279685,\n",
      "       0.16458778]), array([0.10692572, 0.17162159, 0.15102154, 0.1814651 , 0.15763569,\n",
      "       0.23133035]))\n",
      "(array([0.08010046, 0.25222874, 0.10601589, 0.06877662, 0.37588171,\n",
      "       0.11699658]), array([0.11076841, 0.18542871, 0.09274922, 0.113863  , 0.36966946,\n",
      "       0.12752121]))\n",
      "(array([0.10385804, 0.10777572, 0.18531899, 0.12091643, 0.24868522,\n",
      "       0.2334456 ]), array([0.10930548, 0.1116011 , 0.16780049, 0.12601162, 0.26829594,\n",
      "       0.21698537]))\n",
      "(array([0.22597086, 0.18254712, 0.03017184, 0.10857711, 0.31229209,\n",
      "       0.14044098]), array([0.17884966, 0.15521059, 0.0572326 , 0.13081663, 0.33967445,\n",
      "       0.13821607]))\n",
      "(array([0.15603801, 0.14758063, 0.11343016, 0.12491656, 0.30360512,\n",
      "       0.15442952]), array([0.21455501, 0.19792803, 0.20595092, 0.0485239 , 0.12524819,\n",
      "       0.20779395]))\n",
      "(array([0.06760374, 0.10900391, 0.05476123, 0.25052779, 0.30730266,\n",
      "       0.21080067]), array([0.0732133 , 0.11075574, 0.05697874, 0.24237169, 0.31199489,\n",
      "       0.20468565]))\n",
      "(array([0.13604273, 0.1303769 , 0.08181577, 0.15101997, 0.36454976,\n",
      "       0.13619487]), array([0.13604273, 0.1303769 , 0.08181577, 0.15101997, 0.36454976,\n",
      "       0.13619487]))\n",
      "(array([0.13692524, 0.10466629, 0.04183352, 0.28431507, 0.29491996,\n",
      "       0.13733992]), array([0.13650271, 0.11697613, 0.0609764 , 0.22049546, 0.32825762,\n",
      "       0.13679169]))\n",
      "(array([0.06011924, 0.23545629, 0.17678489, 0.14013407, 0.2492941 ,\n",
      "       0.13821142]), array([0.09698013, 0.18444019, 0.13067733, 0.14541918, 0.30525078,\n",
      "       0.13723238]))\n",
      "(array([0.13822026, 0.08935849, 0.13878463, 0.25121828, 0.31010184,\n",
      "       0.0723165 ]), array([0.13830442, 0.08777316, 0.14098643, 0.25509086, 0.30799747,\n",
      "       0.06984766]))\n",
      "(array([0.06575005, 0.07250991, 0.0863271 , 0.45185945, 0.16228874,\n",
      "       0.16126475]), array([0.1152476 , 0.11325775, 0.08315039, 0.24001921, 0.30471361,\n",
      "       0.14361145]))\n",
      "(array([0.11185957, 0.19590331, 0.10131936, 0.12851233, 0.33176313,\n",
      "       0.13064231]), array([0.10436209, 0.21621837, 0.10736603, 0.12153431, 0.32159834,\n",
      "       0.12892086]))\n",
      "(array([0.09767698, 0.13129657, 0.14342938, 0.1371086 , 0.30455771,\n",
      "       0.18593076]), array([0.0935797 , 0.13139479, 0.15000944, 0.13562293, 0.29815083,\n",
      "       0.19124233]))\n",
      "(array([0.18630664, 0.13897613, 0.0886526 , 0.11654265, 0.35751562,\n",
      "       0.11200636]), array([0.24967748, 0.14981771, 0.09727222, 0.07307495, 0.34864725,\n",
      "       0.0815104 ]))\n",
      "(array([0.22297414, 0.21444555, 0.0620299 , 0.2035654 , 0.20845311,\n",
      "       0.0885319 ]), array([0.24105377, 0.2319298 , 0.05791492, 0.21449358, 0.17598877,\n",
      "       0.07861915]))\n",
      "(array([0.14817862, 0.13147318, 0.19947806, 0.22323744, 0.13065293,\n",
      "       0.16697978]), array([0.1368228 , 0.13044737, 0.08937884, 0.15566194, 0.3495154 ,\n",
      "       0.13817365]))\n",
      "(array([0.18804457, 0.04535136, 0.26141769, 0.05931647, 0.30467786,\n",
      "       0.14119205]), array([0.16049336, 0.09039893, 0.1662624 , 0.10790211, 0.33639872,\n",
      "       0.13854448]))\n",
      "(array([0.23429641, 0.08870259, 0.13048466, 0.12296364, 0.3253786 ,\n",
      "       0.09817411]), array([0.22718508, 0.09171886, 0.12696214, 0.12499428, 0.3282137 ,\n",
      "       0.10092594]))\n",
      "(array([0.17470881, 0.2014949 , 0.09390674, 0.11547206, 0.20705807,\n",
      "       0.20735942]), array([0.17664989, 0.20506511, 0.09451372, 0.11368751, 0.19915179,\n",
      "       0.21093197]))\n",
      "(array([0.19041244, 0.12487454, 0.18182772, 0.16493057, 0.26585675,\n",
      "       0.07209798]), array([0.14835271, 0.1291311 , 0.10445973, 0.1541695 , 0.34220443,\n",
      "       0.12168253]))\n",
      "(array([0.12556437, 0.21717447, 0.03682676, 0.21643308, 0.19160426,\n",
      "       0.21239706]), array([0.12906221, 0.18820012, 0.05184478, 0.19459719, 0.24933611,\n",
      "       0.18695961]))\n",
      "(array([0.14257104, 0.15201217, 0.07421244, 0.15190574, 0.32418335,\n",
      "       0.15511526]), array([0.16774365, 0.23543586, 0.04489465, 0.1553212 , 0.16853398,\n",
      "       0.22807066]))\n",
      "(array([0.14985918, 0.13147037, 0.09517308, 0.15224735, 0.331131  ,\n",
      "       0.14011902]), array([0.27158773, 0.14110425, 0.21285635, 0.16306104, 0.03669819,\n",
      "       0.17469244]))\n",
      "(array([0.14525181, 0.0545943 , 0.04755218, 0.31411525, 0.41151964,\n",
      "       0.02696682]), array([0.13767659, 0.08990727, 0.02197782, 0.35232104, 0.26429071,\n",
      "       0.13382657]))\n",
      "(array([0.19578107, 0.11624417, 0.08332873, 0.35250723, 0.1646053 ,\n",
      "       0.08753352]), array([0.22914965, 0.13051748, 0.11894798, 0.35177391, 0.1108789 ,\n",
      "       0.05873208]))\n",
      "(array([0.15564473, 0.06750342, 0.1080052 , 0.31408157, 0.21482034,\n",
      "       0.13994473]), array([0.16532621, 0.0549044 , 0.1541398 , 0.29302725, 0.19159295,\n",
      "       0.14100939]))\n",
      "(array([0.18255844, 0.27395429, 0.19665903, 0.19450339, 0.06116303,\n",
      "       0.09116182]), array([0.14653619, 0.12827373, 0.05657949, 0.32152293, 0.21862635,\n",
      "       0.1284613 ]))\n",
      "(array([0.13622262, 0.0934008 , 0.02496704, 0.35064889, 0.25709227,\n",
      "       0.13766837]), array([0.09248306, 0.17373476, 0.17443614, 0.2324524 , 0.19932183,\n",
      "       0.12757181]))\n",
      "(array([0.17457011, 0.07169129, 0.0784637 , 0.32956224, 0.23377694,\n",
      "       0.11193572]), array([0.23492067, 0.03992258, 0.17173601, 0.29023999, 0.19344431,\n",
      "       0.06973643]))\n",
      "(array([0.17170177, 0.15608472, 0.06552916, 0.26374366, 0.22755873,\n",
      "       0.11538195]), array([0.15726558, 0.12881675, 0.04679429, 0.30162435, 0.24062879,\n",
      "       0.12487024]))\n",
      "(array([0.13645442, 0.09346868, 0.02457667, 0.34990947, 0.25475848,\n",
      "       0.14083227]), array([0.09916663, 0.18172779, 0.16809328, 0.19443245, 0.09975212,\n",
      "       0.25682773]))\n",
      "(array([0.05552446, 0.3054534 , 0.11613771, 0.03434469, 0.37996632,\n",
      "       0.10857341]), array([0.1366869 , 0.09309266, 0.02180577, 0.35106552, 0.2596629 ,\n",
      "       0.13768626]))\n",
      "(array([0.1046349 , 0.09003429, 0.15702327, 0.21364599, 0.20091606,\n",
      "       0.23374549]), array([0.1098711 , 0.09023114, 0.13527459, 0.23605266, 0.21014316,\n",
      "       0.21842735]))\n",
      "(array([0.15825763, 0.10971105, 0.0185469 , 0.31162769, 0.2632011 ,\n",
      "       0.13865563]), array([0.24790538, 0.18893527, 0.00803591, 0.13053665, 0.28284349,\n",
      "       0.14174329]))\n",
      "(array([0.17135127, 0.13456551, 0.09670105, 0.23795333, 0.19069777,\n",
      "       0.16873106]), array([0.20058424, 0.17183176, 0.1618584 , 0.13825772, 0.1322336 ,\n",
      "       0.19523428]))\n",
      "(array([0.1202154 , 0.09102175, 0.02215036, 0.35224838, 0.25812545,\n",
      "       0.15623866]), array([0.02194412, 0.08962652, 0.02876798, 0.3434217 , 0.25525015,\n",
      "       0.26098953]))\n",
      "(array([0.13644395, 0.11868791, 0.06363836, 0.21162084, 0.33289349,\n",
      "       0.13671545]), array([0.136984  , 0.10295451, 0.03917155, 0.29318969, 0.29028409,\n",
      "       0.13741616]))\n",
      "(array([0.13738522, 0.09126552, 0.02099414, 0.35379056, 0.25862782,\n",
      "       0.13793674]), array([0.13738522, 0.09126552, 0.02099414, 0.35379056, 0.25862782,\n",
      "       0.13793674]))\n",
      "(array([0.07942899, 0.19003796, 0.12295426, 0.24455408, 0.22443422,\n",
      "       0.13859049]), array([0.07901287, 0.19074714, 0.12368633, 0.24376977, 0.22418871,\n",
      "       0.13859519]))\n",
      "(array([0.13923558, 0.06466936, 0.1267323 , 0.35468601, 0.25559344,\n",
      "       0.0590833 ]), array([0.13863159, 0.07335091, 0.09221714, 0.35439372, 0.25658392,\n",
      "       0.08482273]))\n",
      "(array([0.12334566, 0.08581637, 0.03112052, 0.38220499, 0.23490582,\n",
      "       0.14260664]), array([0.05899448, 0.0608399 , 0.07753535, 0.51244426, 0.12617459,\n",
      "       0.16401142]))\n",
      "(array([0.12543962, 0.13104068, 0.04310266, 0.30059173, 0.2649307 ,\n",
      "       0.13489462]), array([0.09212453, 0.24196962, 0.1047611 , 0.1522255 , 0.28250882,\n",
      "       0.12641043]))\n",
      "(array([0.11840506, 0.10074712, 0.06502616, 0.30018429, 0.25389982,\n",
      "       0.16173756]), array([0.0741941 , 0.12283285, 0.16759104, 0.17531783, 0.24288677,\n",
      "       0.2171774 ]))\n",
      "(array([0.27378682, 0.14761257, 0.09073623, 0.08931079, 0.32826114,\n",
      "       0.07029246]), array([0.16353979, 0.10206989, 0.03436697, 0.3030774 , 0.27197979,\n",
      "       0.12496616]))\n",
      "(array([0.23668421, 0.20834715, 0.02992111, 0.30859464, 0.134251  ,\n",
      "       0.08220188]), array([0.22868618, 0.19891682, 0.02920209, 0.31223494, 0.14426893,\n",
      "       0.08669104]))\n",
      "(array([0.13922045, 0.0976525 , 0.05049599, 0.33382458, 0.23595055,\n",
      "       0.14285593]), array([0.14712346, 0.12515666, 0.17753928, 0.2478454 , 0.13829583,\n",
      "       0.16403937]))\n",
      "(array([0.20181787, 0.01758346, 0.29968209, 0.06418931, 0.27398237,\n",
      "       0.1427449 ]), array([0.14806255, 0.07905544, 0.06717637, 0.30579986, 0.26117227,\n",
      "       0.13873352]))\n",
      "(array([0.31687119, 0.05192255, 0.1685859 , 0.10863995, 0.28765686,\n",
      "       0.06632356]), array([0.14595278, 0.08938752, 0.02803927, 0.34208857, 0.26001349,\n",
      "       0.13451836]))\n",
      "(array([0.15034654, 0.12202072, 0.03523276, 0.30794473, 0.22254209,\n",
      "       0.16191317]), array([0.20235465, 0.24542791, 0.09236608, 0.12398544, 0.07774583,\n",
      "       0.2581201 ]))\n",
      "(array([0.19852363, 0.12154896, 0.19268076, 0.18001451, 0.24448285,\n",
      "       0.06274929]), array([0.14158402, 0.09334529, 0.03278506, 0.34185615, 0.25765638,\n",
      "       0.1327731 ]))\n",
      "(array([0.11967548, 0.26432996, 0.00767666, 0.2654553 , 0.08697152,\n",
      "       0.25589108]), array([0.13629359, 0.10193323, 0.02017325, 0.34834557, 0.2480469 ,\n",
      "       0.14520746]))\n",
      "(array([0.13921249, 0.09947907, 0.02180146, 0.34400281, 0.25216517,\n",
      "       0.14333899]), array([0.17244469, 0.24885757, 0.036484  , 0.16599473, 0.13463021,\n",
      "       0.2415888 ]))\n",
      "(array([0.22109291, 0.1200687 , 0.13704989, 0.2466233 , 0.11422318,\n",
      "       0.16094201]), array([0.20169649, 0.11339454, 0.11015791, 0.27145568, 0.14768406,\n",
      "       0.15561132]))\n",
      "(array([0.11082958, 0.11912471, 0.09792389, 0.26297832, 0.35383037,\n",
      "       0.05531313]), array([0.05577023, 0.22363092, 0.17625841, 0.18420069, 0.25334728,\n",
      "       0.10679246]))\n",
      "(array([0.19200953, 0.20354339, 0.19718697, 0.27307012, 0.07892643,\n",
      "       0.05526357]), array([0.11659261, 0.24147231, 0.20974204, 0.21195374, 0.12792506,\n",
      "       0.09231423]))\n",
      "(array([0.0891745 , 0.1812306 , 0.23214453, 0.18431747, 0.17230455,\n",
      "       0.14082834]), array([0.11546786, 0.13943128, 0.23465278, 0.20353407, 0.16547603,\n",
      "       0.14143798]))\n",
      "(array([0.16907722, 0.30811871, 0.23136935, 0.15856182, 0.04355248,\n",
      "       0.08932041]), array([0.04368883, 0.29236337, 0.22652148, 0.13820722, 0.16760419,\n",
      "       0.13161492]))\n",
      "(array([0.02372782, 0.28519903, 0.22385065, 0.13813638, 0.19029131,\n",
      "       0.13879481]), array([0.08864928, 0.18019059, 0.18020483, 0.22570763, 0.19749009,\n",
      "       0.12775756]))\n",
      "(array([0.26863624, 0.02406811, 0.22915638, 0.26419473, 0.16888919,\n",
      "       0.04505534]), array([0.02452596, 0.28579982, 0.22569563, 0.13635022, 0.18969936,\n",
      "       0.13792901]))\n",
      "(array([0.12948392, 0.22855274, 0.14024196, 0.18352121, 0.2024351 ,\n",
      "       0.11576507]), array([0.08315485, 0.2546028 , 0.1767338 , 0.16258953, 0.19711972,\n",
      "       0.12579931]))\n",
      "(array([0.08791924, 0.19804505, 0.1788901 , 0.18306339, 0.10846284,\n",
      "       0.24361938]), array([0.03137323, 0.27540548, 0.21843216, 0.14202126, 0.17741506,\n",
      "       0.15535282]))\n",
      "(array([0.03043275, 0.29445091, 0.19546666, 0.10595928, 0.24302807,\n",
      "       0.13066232]), array([0.04545003, 0.3023492 , 0.14712912, 0.06019365, 0.32796845,\n",
      "       0.11690954]))\n",
      "(array([0.05534776, 0.16687356, 0.2535723 , 0.11090854, 0.16701961,\n",
      "       0.24627824]), array([0.04282966, 0.21164594, 0.24337786, 0.11953284, 0.1754069 ,\n",
      "       0.2072068 ]))\n",
      "(array([0.25513535, 0.21190433, 0.01770764, 0.09091586, 0.28205159,\n",
      "       0.14228522]), array([0.03469908, 0.28499605, 0.21352748, 0.1319912 , 0.1953603 ,\n",
      "       0.13942589]))\n",
      "(array([0.11395504, 0.25715089, 0.23083275, 0.08574917, 0.13530241,\n",
      "       0.17700974]), array([0.14165189, 0.24750044, 0.23237901, 0.07120461, 0.11899625,\n",
      "       0.1882678 ]))\n",
      "(array([0.01792003, 0.2509654 , 0.18794269, 0.17447627, 0.20246901,\n",
      "       0.1662266 ]), array([0.00791092, 0.12793693, 0.06762795, 0.30193653, 0.24227389,\n",
      "       0.25231379]))\n",
      "(array([0.03926273, 0.26432204, 0.2028733 , 0.13714367, 0.21763288,\n",
      "       0.13876538]), array([0.11783664, 0.15557444, 0.10458891, 0.14840958, 0.336912  ,\n",
      "       0.13667843]))\n",
      "(array([0.11822038, 0.12392737, 0.05471009, 0.31766849, 0.24732075,\n",
      "       0.13815292]), array([0.04022148, 0.25685773, 0.1919305 , 0.17065536, 0.20130218,\n",
      "       0.13903275]))\n",
      "(array([0.02105664, 0.28951958, 0.22564645, 0.13453328, 0.18999511,\n",
      "       0.13924894]), array([0.02105664, 0.28951958, 0.22564645, 0.13453328, 0.18999511,\n",
      "       0.13924894]))\n",
      "(array([0.07061806, 0.18877235, 0.21415464, 0.22614681, 0.21637016,\n",
      "       0.08393798]), array([0.09092053, 0.14750198, 0.2094471 , 0.26367564, 0.2271745 ,\n",
      "       0.06128025]))\n",
      "(array([0.03984092, 0.10549207, 0.11718912, 0.45390897, 0.12118584,\n",
      "       0.16238308]), array([0.02617064, 0.23941826, 0.19611905, 0.22148301, 0.17126186,\n",
      "       0.14554718]))\n",
      "(array([0.06893067, 0.28322396, 0.14566232, 0.10578195, 0.27001144,\n",
      "       0.12638966]), array([0.0323049 , 0.28804039, 0.20685375, 0.127778  , 0.20879538,\n",
      "       0.13622758]))\n",
      "(array([0.02872941, 0.25420652, 0.22249637, 0.13165313, 0.20081414,\n",
      "       0.16210043]), array([0.04754118, 0.16762751, 0.21477313, 0.12459171, 0.22733975,\n",
      "       0.21812672]))\n",
      "(array([0.03248847, 0.28414552, 0.22066448, 0.13060076, 0.19621012,\n",
      "       0.13589064]), array([0.28850956, 0.163791  , 0.10909102, 0.04253015, 0.3353981 ,\n",
      "       0.06068018]))\n",
      "(array([0.02590795, 0.2899381 , 0.22268255, 0.13662767, 0.18730647,\n",
      "       0.13753726]), array([0.32313386, 0.31557993, 0.04109296, 0.26494463, 0.02258076,\n",
      "       0.03266786]))\n",
      "(array([0.05702529, 0.24509355, 0.22041426, 0.16078411, 0.16907892,\n",
      "       0.14760388]), array([0.11299004, 0.17596968, 0.21227332, 0.20162859, 0.13653476,\n",
      "       0.16060361]))\n",
      "(array([0.12627   , 0.13335472, 0.29171739, 0.06949733, 0.23755236,\n",
      "       0.14160819]), array([0.10728184, 0.16153824, 0.27979337, 0.08123456, 0.22896957,\n",
      "       0.14118241]))\n",
      "(array([0.27588343, 0.0890326 , 0.18377385, 0.10305871, 0.27291699,\n",
      "       0.07533443]), array([0.07061197, 0.25053153, 0.21750362, 0.12841253, 0.20612066,\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       0.12681969]))\n",
      "(array([0.09148333, 0.28468458, 0.1824891 , 0.11408835, 0.1362178 ,\n",
      "       0.19103684]), array([0.14488928, 0.28101811, 0.14976204, 0.09858455, 0.09543741,\n",
      "       0.23030862]))\n",
      "(array([0.03877933, 0.27333584, 0.22358071, 0.137806  , 0.19521598,\n",
      "       0.13128215]), array([0.18499974, 0.13981247, 0.20653741, 0.16480739, 0.23829055,\n",
      "       0.06555244]))\n",
      "(array([0.08481571, 0.28002579, 0.08261057, 0.21656473, 0.1157254 ,\n",
      "       0.2202578 ]), array([0.05482478, 0.28449147, 0.14989165, 0.17797886, 0.15066032,\n",
      "       0.18215293]))\n",
      "(array([0.13826581, 0.26469663, 0.08155545, 0.15111358, 0.14269726,\n",
      "       0.22167127]), array([0.05706279, 0.28189407, 0.18138231, 0.13962668, 0.17546542,\n",
      "       0.16456872]))\n",
      "(array([0.02394257, 0.28791124, 0.22565264, 0.13485813, 0.1879567 ,\n",
      "       0.13967872]), array([0.28251825, 0.14380606, 0.22620746, 0.16396358, 0.00531784,\n",
      "       0.17818681]))\n",
      "(array([0.14066515, 0.04698936, 0.1925467 , 0.35374558, 0.25947263,\n",
      "       0.00658057]), array([0.14535997, 0.05300145, 0.05394444, 0.31418931, 0.41125945,\n",
      "       0.02224538]))\n",
      "(array([0.17584117, 0.07289998, 0.19394659, 0.35413542, 0.19664023,\n",
      "       0.00653661]), array([0.25218627, 0.12935089, 0.18529127, 0.35164432, 0.0737657 ,\n",
      "       0.00776154]))\n",
      "(array([0.15171416, 0.04268638, 0.20921142, 0.32871705, 0.22598899,\n",
      "       0.041682  ]), array([0.17235352, 0.03521068, 0.22989473, 0.27989037, 0.17534603,\n",
      "       0.10730467]))\n",
      "(array([0.15344564, 0.11361548, 0.20663253, 0.30643484, 0.19474116,\n",
      "       0.02513035]), array([0.17874573, 0.24410177, 0.22356714, 0.21109009, 0.07996994,\n",
      "       0.06252533]))\n",
      "(array([0.10588722, 0.13761263, 0.18420067, 0.26663868, 0.21430918,\n",
      "       0.09135161]), array([0.12591519, 0.08501216, 0.19216365, 0.31796122, 0.23702665,\n",
      "       0.04192112]))\n",
      "(array([0.20207721, 0.03439748, 0.21257933, 0.31351041, 0.21379305,\n",
      "       0.02364252]), array([0.2105103 , 0.03270563, 0.21458153, 0.30779043, 0.20834994,\n",
      "       0.02606218]))\n",
      "(array([0.1768361 , 0.15125029, 0.12209847, 0.25304849, 0.2222539 ,\n",
      "       0.07451274]), array([0.15522798, 0.08914041, 0.16718612, 0.31381813, 0.24085535,\n",
      "       0.033772  ]))\n",
      "(array([0.11000446, 0.14571737, 0.17899656, 0.23644287, 0.13980449,\n",
      "       0.18903425]), array([0.12871332, 0.08496834, 0.19063454, 0.30939766, 0.20962784,\n",
      "       0.0766583 ]))\n",
      "(array([0.06100362, 0.28849148, 0.12279147, 0.05496262, 0.37180961,\n",
      "       0.10094121]), array([0.13430447, 0.06554381, 0.19211316, 0.33194619, 0.26274135,\n",
      "       0.01335101]))\n",
      "(array([0.10711515, 0.0690016 , 0.23658151, 0.21869577, 0.20029943,\n",
      "       0.16830654]), array([0.11048758, 0.06675307, 0.2326775 , 0.23250148, 0.20568151,\n",
      "       0.15189885]))\n",
      "(array([0.23729288, 0.16796178, 0.05279711, 0.15387713, 0.27910546,\n",
      "       0.10896564]), array([0.17196686, 0.08617378, 0.15074686, 0.28978582, 0.26186086,\n",
      "       0.03946583]))\n",
      "(array([0.19240045, 0.13968592, 0.21981698, 0.17157124, 0.1491003 ,\n",
      "       0.12742512]), array([0.1826318 , 0.12220059, 0.21570363, 0.20613842, 0.1687528 ,\n",
      "       0.10457277]))\n",
      "(array([0.08357179, 0.06463117, 0.12749002, 0.34966571, 0.25405204,\n",
      "       0.12058927]), array([0.06168447, 0.07150633, 0.10038947, 0.34750297, 0.25424529,\n",
      "       0.16467147]))\n",
      "(array([0.13944035, 0.06637558, 0.17070469, 0.3073601 , 0.27959428,\n",
      "       0.036525  ]), array([0.13708434, 0.11075607, 0.10906637, 0.19894903, 0.33850503,\n",
      "       0.10563916]))\n",
      "(array([0.13991128, 0.05495722, 0.16534478, 0.355013  , 0.25448537,\n",
      "       0.03028833]), array([0.13795589, 0.08306305, 0.05360466, 0.35406673, 0.25769199,\n",
      "       0.1136177 ]))\n",
      "(array([0.12616473, 0.07585844, 0.20127503, 0.328824  , 0.24593037,\n",
      "       0.02194742]), array([0.03537386, 0.26041589, 0.22232671, 0.16099845, 0.19761429,\n",
      "       0.1232708 ]))\n",
      "(array([0.14048195, 0.04675475, 0.1979553 , 0.35528917, 0.25354955,\n",
      "       0.00596929]), array([0.14048195, 0.04675475, 0.1979553 , 0.35528917, 0.25354955,\n",
      "       0.00596929]))\n",
      "(array([0.05211908, 0.05474309, 0.0959333 , 0.52694171, 0.11378426,\n",
      "       0.15647856]), array([0.1333178 , 0.04740242, 0.18968371, 0.36920615, 0.24221787,\n",
      "       0.01817205]))\n",
      "(array([0.11133979, 0.1603165 , 0.16360229, 0.23144724, 0.27059041,\n",
      "       0.06270377]), array([0.10932109, 0.16818303, 0.16122262, 0.2228686 , 0.27177084,\n",
      "       0.06663382]))\n",
      "(array([0.09153037, 0.0958738 , 0.20580183, 0.22119439, 0.24471384,\n",
      "       0.14088578]), array([0.10416553, 0.08319541, 0.20377652, 0.25580634, 0.24699448,\n",
      "       0.10606173]))\n",
      "(array([0.20293215, 0.09048578, 0.16120164, 0.23126107, 0.28803849,\n",
      "       0.02608086]), array([0.23749119, 0.1146859 , 0.1408627 , 0.16262572, 0.30712417,\n",
      "       0.03721031]))\n",
      "(array([0.15794297, 0.07182776, 0.18307166, 0.34707097, 0.23179047,\n",
      "       0.00829616]), array([0.31052415, 0.29092544, 0.05301269, 0.27525721, 0.04165119,\n",
      "       0.02862931]))\n",
      "(array([0.14186403, 0.06057904, 0.19943668, 0.33451582, 0.23106078,\n",
      "       0.03254365]), array([0.14757661, 0.11771936, 0.20555974, 0.24865276, 0.13810734,\n",
      "       0.1423842 ]))\n",
      "(array([0.16027398, 0.03538155, 0.23860643, 0.26209394, 0.25986459,\n",
      "       0.04377951]), array([0.19270317, 0.01674659, 0.30521318, 0.10939384, 0.27021177,\n",
      "       0.10573145]))\n",
      "(array([0.23174457, 0.04837803, 0.1869399 , 0.22781179, 0.27106273,\n",
      "       0.03406298]), array([0.23417613, 0.04842128, 0.18664642, 0.22441533, 0.27152935,\n",
      "       0.0348115 ]))\n",
      "(array([0.17742811, 0.1600254 , 0.15285476, 0.21845817, 0.148938  ,\n",
      "       0.14229555]), array([0.1783698 , 0.16291246, 0.15170523, 0.2149706 , 0.14627164,\n",
      "       0.14577026]))\n",
      "(array([0.1711293 , 0.08460768, 0.20116397, 0.263107  , 0.24860675,\n",
      "       0.0313853 ]), array([0.17207508, 0.08577581, 0.20126299, 0.26026227, 0.24845421,\n",
      "       0.03216963]))\n",
      "(array([0.12993224, 0.15671388, 0.1058905 , 0.30938728, 0.16820082,\n",
      "       0.12987527]), array([0.12913356, 0.16503855, 0.09892056, 0.30591219, 0.16173933,\n",
      "       0.13925582]))\n",
      "(array([0.14902936, 0.09995569, 0.15731426, 0.30492999, 0.22183333,\n",
      "       0.06693737]), array([0.16572455, 0.20387018, 0.07793235, 0.20656616, 0.15988378,\n",
      "       0.18602298]))\n",
      "(array([0.14097411, 0.04707888, 0.19805126, 0.35464053, 0.25269963,\n",
      "       0.0065556 ]), array([0.28491203, 0.1418736 , 0.22611769, 0.16493705, 0.00412934,\n",
      "       0.17803029]))\n",
      "(array([0.12826275, 0.05360622, 0.05525742, 0.35185126, 0.36311394,\n",
      "       0.0479084 ]), array([0.06223534, 0.05502059, 0.08094014, 0.50165316, 0.15652118,\n",
      "       0.14362958]))\n",
      "(array([0.06050499, 0.06180751, 0.09366282, 0.52865609, 0.09696587,\n",
      "       0.15840273]), array([0.27199543, 0.14907937, 0.17528146, 0.36269318, 0.0223431 ,\n",
      "       0.01860746]))\n",
      "(array([0.09077846, 0.04737558, 0.13839658, 0.44581402, 0.11743708,\n",
      "       0.16019827]), array([0.13776219, 0.03915748, 0.190416  , 0.34836293, 0.13280097,\n",
      "       0.15150044]))\n",
      "(array([0.09630982, 0.14482488, 0.13825661, 0.40836434, 0.07400581,\n",
      "       0.13823854]), array([0.14035452, 0.22152837, 0.18164949, 0.29473011, 0.04960833,\n",
      "       0.11212918]))\n",
      "(array([0.07093985, 0.12291171, 0.1385198 , 0.36625594, 0.15588104,\n",
      "       0.14549166]), array([0.06533554, 0.10834909, 0.12755095, 0.40391348, 0.14435783,\n",
      "       0.1504931 ]))\n",
      "(array([0.23257184, 0.0264472 , 0.20457101, 0.31384655, 0.15708216,\n",
      "       0.06548123]), array([0.08448864, 0.04929191, 0.11229627, 0.49302381, 0.11396386,\n",
      "       0.14693551]))\n",
      "(array([0.15275447, 0.15702789, 0.09035811, 0.29877288, 0.18119717,\n",
      "       0.11988949]), array([0.08378259, 0.09199882, 0.08863291, 0.45366327, 0.13081512,\n",
      "       0.15110729]))\n",
      "(array([0.06126897, 0.0947484 , 0.11338594, 0.43359831, 0.10044098,\n",
      "       0.1965574 ]), array([0.08192179, 0.14457331, 0.14595158, 0.29781175, 0.09789439,\n",
      "       0.23184719]))\n",
      "(array([0.05049489, 0.19675738, 0.10409864, 0.25506145, 0.25878091,\n",
      "       0.13480674]), array([0.04928618, 0.16591391, 0.10051242, 0.31741689, 0.22467308,\n",
      "       0.14219752]))\n",
      "(array([0.06160827, 0.07279134, 0.18273933, 0.31049286, 0.12832829,\n",
      "       0.24403991]), array([0.06046744, 0.07159933, 0.1762261 , 0.32627392, 0.12655569,\n",
      "       0.23887752]))\n",
      "(array([0.23339129, 0.1833511 , 0.01856446, 0.15991187, 0.25817384,\n",
      "       0.14660744]), array([0.08034143, 0.07942045, 0.07468593, 0.4693206 , 0.13169551,\n",
      "       0.16453607]))\n",
      "(array([0.12299947, 0.12114612, 0.14936764, 0.32745014, 0.08674902,\n",
      "       0.19228761]), array([0.15650575, 0.14937638, 0.17585938, 0.23582905, 0.08000712,\n",
      "       0.20242232]))\n",
      "(array([0.00649943, 0.08792333, 0.03240311, 0.35042252, 0.24820912,\n",
      "       0.2745425 ]), array([0.0432298 , 0.05685017, 0.08518281, 0.53231569, 0.10899125,\n",
      "       0.17343028]))\n",
      "(array([0.07138835, 0.07715152, 0.08596524, 0.42772858, 0.17851245,\n",
      "       0.15925385]), array([0.1096093 , 0.10861613, 0.08351225, 0.26415008, 0.28848989,\n",
      "       0.14562235]))\n",
      "(array([0.08004419, 0.06900987, 0.06235274, 0.46984212, 0.1617413 ,\n",
      "       0.15700978]), array([0.10229596, 0.0776464 , 0.04630312, 0.42480713, 0.1993391 ,\n",
      "       0.14960829]))\n",
      "(array([0.03920965, 0.11167652, 0.12083396, 0.44317598, 0.12349826,\n",
      "       0.16160563]), array([0.02680191, 0.23323381, 0.19247421, 0.232216  , 0.16894944,\n",
      "       0.14632463]))\n",
      "(array([0.09337095, 0.05101376, 0.14356188, 0.44680637, 0.17903316,\n",
      "       0.08621388]), array([0.09206593, 0.05113174, 0.14205513, 0.44934149, 0.17696898,\n",
      "       0.08843674]))\n",
      "(array([0.04495493, 0.05539075, 0.08766172, 0.54085869, 0.10245259,\n",
      "       0.16868133]), array([0.04495493, 0.05539075, 0.08766172, 0.54085869, 0.10245259,\n",
      "       0.16868133]))\n",
      "(array([0.07318128, 0.23677696, 0.11908052, 0.18680166, 0.25178933,\n",
      "       0.13237026]), array([0.05195258, 0.10035857, 0.09545082, 0.4530837 , 0.13947496,\n",
      "       0.15967938]))\n",
      "(array([0.05512792, 0.13166938, 0.21058352, 0.12522648, 0.23702075,\n",
      "       0.24037194]), array([0.04504096, 0.05603583, 0.08870124, 0.53734377, 0.1035906 ,\n",
      "       0.1692876 ]))\n",
      "(array([0.07333063, 0.06685584, 0.08949203, 0.48496547, 0.12906713,\n",
      "       0.15628889]), array([0.27156568, 0.14695185, 0.10227874, 0.09449084, 0.31499856,\n",
      "       0.06971432]))\n",
      "(array([0.08766963, 0.09472146, 0.08018629, 0.49953404, 0.08999262,\n",
      "       0.14789596]), array([0.28527047, 0.27666774, 0.04560449, 0.30836367, 0.03235208,\n",
      "       0.05174155]))\n",
      "(array([0.11818847, 0.1090133 , 0.17172192, 0.32047645, 0.11172332,\n",
      "       0.16887654]), array([0.07572514, 0.0779211 , 0.12298092, 0.44826166, 0.10634783,\n",
      "       0.16876335]))\n",
      "(array([0.15953543, 0.02118396, 0.26424603, 0.18204456, 0.22150165,\n",
      "       0.15148836]), array([0.09791469, 0.03958018, 0.16928   , 0.37501274, 0.15747775,\n",
      "       0.16073464]))\n",
      "(array([0.26449818, 0.05120612, 0.15651798, 0.19338838, 0.24850223,\n",
      "       0.08588711]), array([0.1058955 , 0.05422919, 0.10677476, 0.44440826, 0.14299289,\n",
      "       0.1456994 ]))\n",
      "(array([0.19615611, 0.25135143, 0.10447424, 0.13017987, 0.0484972 ,\n",
      "       0.26934115]), array([0.06411478, 0.08022243, 0.08979216, 0.48881843, 0.09561549,\n",
      "       0.1814367 ]))\n",
      "(array([0.13526163, 0.09445043, 0.15452417, 0.32747883, 0.18319519,\n",
      "       0.10508974]), array([0.11241572, 0.08456906, 0.13760922, 0.38145996, 0.16276881,\n",
      "       0.12117723]))\n",
      "(array([0.06387335, 0.11181717, 0.06689921, 0.46869672, 0.09575615,\n",
      "       0.19295741]), array([0.09966543, 0.21857126, 0.02761827, 0.33217228, 0.08308704,\n",
      "       0.23888572]))\n",
      "(array([0.1255387 , 0.18106767, 0.05627345, 0.30116337, 0.11847685,\n",
      "       0.21747996]), array([0.09368818, 0.1313942 , 0.06867958, 0.3959023 , 0.1121433 ,\n",
      "       0.19819243]))\n",
      "(array([0.18399355, 0.10558646, 0.16777871, 0.32310874, 0.04510618,\n",
      "       0.17442635]), array([0.14636556, 0.09200201, 0.14609666, 0.38203837, 0.06062583,\n",
      "       0.17287157]))\n",
      "(array([0.1121335 , 0.17003389, 0.08857464, 0.20345846, 0.35156826,\n",
      "       0.07423125]), array([0.1135886 , 0.16494694, 0.08683082, 0.20821394, 0.35442598,\n",
      "       0.07199371]))\n",
      "(array([0.15920664, 0.23363123, 0.14760647, 0.19485994, 0.18516912,\n",
      "       0.0795266 ]), array([0.20851779, 0.20360967, 0.16054571, 0.25465731, 0.12049896,\n",
      "       0.05217056]))\n",
      "(array([0.1177307 , 0.19073947, 0.1683704 , 0.15505706, 0.23759858,\n",
      "       0.13050379]), array([0.14603395, 0.12214761, 0.19965007, 0.19728787, 0.1989986 ,\n",
      "       0.1358819 ]))\n",
      "(array([0.17540851, 0.30669214, 0.21684318, 0.15299735, 0.06028036,\n",
      "       0.08777847]), array([0.09647983, 0.28601513, 0.14227082, 0.10826509, 0.24969291,\n",
      "       0.11727622]))\n",
      "(array([0.08771864, 0.21009715, 0.16174741, 0.1871926 , 0.22721292,\n",
      "       0.12603129]), array([0.08378076, 0.24751767, 0.14353124, 0.14114481, 0.25938507,\n",
      "       0.12464045]))\n",
      "(array([0.17125353, 0.1577048 , 0.17543091, 0.17826576, 0.23176474,\n",
      "       0.08558025]), array([0.18103096, 0.14438833, 0.18064427, 0.18677257, 0.2256404 ,\n",
      "       0.08152347]))\n",
      "(array([0.15770897, 0.22042625, 0.10213566, 0.17735536, 0.233657  ,\n",
      "       0.10871677]), array([0.11405209, 0.25495448, 0.11606326, 0.13324877, 0.26471441,\n",
      "       0.11696699]))\n",
      "(array([0.09098395, 0.22321426, 0.15368105, 0.15379385, 0.17336555,\n",
      "       0.20496133]), array([0.08743082, 0.24246147, 0.14486436, 0.13578418, 0.21132893,\n",
      "       0.17813023]))\n",
      "(array([0.06470928, 0.29732608, 0.1208165 , 0.05789655, 0.34506361,\n",
      "       0.11418798]), array([0.07029579, 0.29169924, 0.12300245, 0.07274977, 0.3247495 ,\n",
      "       0.11750325]))\n",
      "(array([0.07763754, 0.12156948, 0.24689759, 0.09643506, 0.17547661,\n",
      "       0.28198372]), array([0.07966217, 0.24917521, 0.15127574, 0.0984997 , 0.26576649,\n",
      "       0.15562069]))\n",
      "(array([0.15326584, 0.25292682, 0.07987013, 0.0948984 , 0.28827113,\n",
      "       0.13076767]), array([0.19569088, 0.23619875, 0.05258816, 0.09250205, 0.28795734,\n",
      "       0.13506281]))\n",
      "(array([0.19468495, 0.23233411, 0.20897891, 0.04220351, 0.12228124,\n",
      "       0.19951728]), array([0.12004427, 0.26454242, 0.15545602, 0.07924365, 0.23083401,\n",
      "       0.14987962]))\n",
      "(array([0.04664564, 0.1961992 , 0.08375689, 0.20702608, 0.27366309,\n",
      "       0.19270909]), array([0.0383076 , 0.17492832, 0.07303692, 0.2338801 , 0.2698964 ,\n",
      "       0.20995066]))\n",
      "(array([0.11937225, 0.17554703, 0.09526042, 0.1355045 , 0.34194855,\n",
      "       0.13236725]), array([0.09684941, 0.23657464, 0.11342497, 0.11454214, 0.31141292,\n",
      "       0.12719592]))\n",
      "(array([0.13601577, 0.09582536, 0.02352868, 0.34769182, 0.25935038,\n",
      "       0.13758799]), array([0.08154838, 0.27718493, 0.12433508, 0.10512542, 0.28808914,\n",
      "       0.12371706]))\n",
      "(array([0.02341042, 0.28921005, 0.22171394, 0.13311969, 0.19392921,\n",
      "       0.13861669]), array([0.07782515, 0.28205431, 0.13080212, 0.10044026, 0.28487761,\n",
      "       0.12400055]))\n",
      "(array([0.1169847 , 0.13831931, 0.17025655, 0.25543572, 0.26728955,\n",
      "       0.05171416]), array([0.10367618, 0.19018021, 0.15456836, 0.19888011, 0.2750717 ,\n",
      "       0.07762343]))\n",
      "(array([0.0720336 , 0.22940183, 0.11780304, 0.20119755, 0.24571733,\n",
      "       0.13384666]), array([0.05310025, 0.1077337 , 0.0967283 , 0.43868781, 0.14554696,\n",
      "       0.15820298]))\n",
      "(array([0.08017893, 0.28174477, 0.12686962, 0.09902667, 0.2888117 ,\n",
      "       0.12336831]), array([0.08017893, 0.28174477, 0.12686962, 0.09902667, 0.2888117 ,\n",
      "       0.12336831]))\n",
      "(array([0.06382133, 0.18383479, 0.1824019 , 0.1138903 , 0.2556228 ,\n",
      "       0.20042887]), array([0.07157155, 0.23022444, 0.15609076, 0.10684793, 0.27134767,\n",
      "       0.16391765]))\n",
      "(array([0.2365389 , 0.19399759, 0.11067558, 0.05603169, 0.32637966,\n",
      "       0.07637659]), array([0.14358142, 0.24616412, 0.12030309, 0.08159261, 0.30404516,\n",
      "       0.10431361]))\n",
      "(array([0.31477563, 0.31417253, 0.04285945, 0.25808296, 0.03422712,\n",
      "       0.0358823 ]), array([0.09338847, 0.2835707 , 0.12213922, 0.10798273, 0.2744767 ,\n",
      "       0.11844219]))\n",
      "(array([0.12392849, 0.18620456, 0.17786526, 0.18098756, 0.17864669,\n",
      "       0.15236744]), array([0.10520913, 0.22708386, 0.15604548, 0.14591852, 0.22578358,\n",
      "       0.13995943]))\n",
      "(array([0.1863339 , 0.06001697, 0.30256513, 0.03257521, 0.27895576,\n",
      "       0.13955304]), array([0.10634023, 0.22710119, 0.1701688 , 0.08265008, 0.28638276,\n",
      "       0.12735694]))\n",
      "(array([0.25305968, 0.11842203, 0.16124096, 0.09755436, 0.28897441,\n",
      "       0.08074857]), array([0.152558  , 0.2133673 , 0.14125968, 0.09841027, 0.28887982,\n",
      "       0.10552492]))\n",
      "(array([0.12155138, 0.28004206, 0.12066547, 0.09263206, 0.21314579,\n",
      "       0.17196324]), array([0.17394352, 0.27788582, 0.11280883, 0.08453422, 0.11732601,\n",
      "       0.2335016 ]))\n",
      "(array([0.13248416, 0.21425612, 0.15999249, 0.12850074, 0.26947619,\n",
      "       0.0952903 ]), array([0.1504172 , 0.19111739, 0.1713488 , 0.13860603, 0.26284693,\n",
      "       0.08566365]))\n",
      "(array([0.08960359, 0.28008902, 0.09741792, 0.13853245, 0.23668305,\n",
      "       0.15767397]), array([0.10915919, 0.27665343, 0.03630746, 0.22050453, 0.12851926,\n",
      "       0.22885614]))\n",
      "(array([0.1221668 , 0.27073446, 0.08689638, 0.12454269, 0.2171262 ,\n",
      "       0.17853346]), array([0.13228408, 0.26808144, 0.07726455, 0.13069096, 0.19985307,\n",
      "       0.1918259 ]))\n",
      "(array([0.18664308, 0.20935232, 0.17840605, 0.13288233, 0.14068689,\n",
      "       0.15202931]), array([0.17894003, 0.21459017, 0.17467721, 0.13043276, 0.15140424,\n",
      "       0.14995559]))\n",
      "(array([0.10663252, 0.08730025, 0.11878808, 0.230398  , 0.34006539,\n",
      "       0.11681575]), array([0.0941246 , 0.09825026, 0.14137082, 0.20395928, 0.31527592,\n",
      "       0.14701912]))\n",
      "(array([0.13567464, 0.14034269, 0.20111558, 0.20094194, 0.16151768,\n",
      "       0.16040746]), array([0.20708481, 0.14746789, 0.19179003, 0.27126019, 0.09349747,\n",
      "       0.08889961]))\n",
      "(array([0.17129443, 0.0408293 , 0.23832364, 0.24071722, 0.15643851,\n",
      "       0.1523969 ]), array([0.06750525, 0.12262746, 0.21445027, 0.13431259, 0.22950574,\n",
      "       0.23159869]))\n",
      "(array([0.17150434, 0.28451768, 0.22919186, 0.15623707, 0.05328311,\n",
      "       0.10526595]), array([0.07541903, 0.15875927, 0.21467557, 0.12771025, 0.20603722,\n",
      "       0.21739865]))\n",
      "(array([0.08734824, 0.17107831, 0.18206304, 0.2174733 , 0.20222783,\n",
      "       0.13980927]), array([0.05918618, 0.13710619, 0.20796904, 0.13354899, 0.23371723,\n",
      "       0.22847238]))\n",
      "(array([0.17156933, 0.07224824, 0.22105551, 0.19912393, 0.2008392 ,\n",
      "       0.13516379]), array([0.15575018, 0.08041457, 0.21977311, 0.18859929, 0.20591301,\n",
      "       0.14954984]))\n",
      "(array([0.1030982 , 0.15384685, 0.16938317, 0.15326702, 0.22811651,\n",
      "       0.19228825]), array([0.14369788, 0.17210356, 0.13356918, 0.18002199, 0.21960197,\n",
      "       0.15100542]))\n",
      "(array([0.06192324, 0.14036408, 0.20539325, 0.13244717, 0.21597074,\n",
      "       0.24390152]), array([0.09152655, 0.17588133, 0.1779056 , 0.17981575, 0.11807081,\n",
      "       0.25679996]))\n",
      "(array([0.05485974, 0.29212014, 0.12515259, 0.0394259 , 0.36862442,\n",
      "       0.1198172 ]), array([0.05518035, 0.14747486, 0.20341979, 0.1139053 , 0.25053575,\n",
      "       0.22948394]))\n",
      "(array([0.06263821, 0.11763508, 0.23184894, 0.11296671, 0.20910561,\n",
      "       0.26580545]), array([0.06969652, 0.10367929, 0.25107783, 0.10465293, 0.18148456,\n",
      "       0.28940887]))\n",
      "(array([0.25142088, 0.20127996, 0.02233364, 0.09108323, 0.28341344,\n",
      "       0.15046885]), array([0.07257086, 0.1384153 , 0.19487808, 0.1190021 , 0.2421621 ,\n",
      "       0.23297155]))\n",
      "(array([0.1843747 , 0.19196073, 0.23030706, 0.05020063, 0.11294561,\n",
      "       0.23021128]), array([0.10538954, 0.15548548, 0.2188813 , 0.09393142, 0.18951672,\n",
      "       0.23679554]))\n",
      "(array([0.04715057, 0.12545131, 0.18257632, 0.15690803, 0.24081072,\n",
      "       0.24710304]), array([0.01283769, 0.09624589, 0.05897093, 0.30668304, 0.25209583,\n",
      "       0.27316662]))\n",
      "(array([0.09705126, 0.13131157, 0.14443427, 0.13688171, 0.30357927,\n",
      "       0.18674192]), array([0.09420542, 0.13137979, 0.14900455, 0.13584981, 0.29912927,\n",
      "       0.19043116]))\n",
      "(array([0.11105464, 0.10441905, 0.08207839, 0.27942424, 0.25206881,\n",
      "       0.17095488]), array([0.08154453, 0.11916092, 0.15053881, 0.19607788, 0.24471778,\n",
      "       0.20796008]))\n",
      "(array([0.03097304, 0.24388049, 0.22157524, 0.13081094, 0.20397777,\n",
      "       0.16878253]), array([0.04529755, 0.17795355, 0.21569426, 0.1254339 , 0.22417611,\n",
      "       0.21144462]))\n",
      "(array([0.11853255, 0.06877924, 0.2014736 , 0.2951624 , 0.2495877 ,\n",
      "       0.0664645 ]), array([0.07716335, 0.11028996, 0.20810474, 0.18183832, 0.24212061,\n",
      "       0.18048301]))\n",
      "(array([0.05109778, 0.1014508 , 0.16188676, 0.28988354, 0.18371016,\n",
      "       0.21197095]), array([0.04907109, 0.0862544 , 0.13739801, 0.37268671, 0.15690119,\n",
      "       0.19768859]))\n",
      "(array([0.0571478 , 0.14388973, 0.20505782, 0.11995432, 0.24208248,\n",
      "       0.23186783]), array([0.07824507, 0.2701695 , 0.13343485, 0.1007839 , 0.28488799,\n",
      "       0.13247869]))\n",
      "(array([0.05521395, 0.13231446, 0.21162305, 0.12171155, 0.23815877,\n",
      "       0.24097822]), array([0.05521395, 0.13231446, 0.21162305, 0.12171155, 0.23815877,\n",
      "       0.24097822]))\n",
      "(array([0.23630623, 0.15162965, 0.13206534, 0.0602093 , 0.31471243,\n",
      "       0.10507706]), array([0.11884911, 0.13910174, 0.18366676, 0.10009989, 0.26505945,\n",
      "       0.19322305]))\n",
      "(array([0.24064804, 0.25718567, 0.09367916, 0.22050741, 0.08977773,\n",
      "       0.098202  ]), array([0.14255109, 0.19112724, 0.15607295, 0.16824317, 0.16827315,\n",
      "       0.1737324 ]))\n",
      "(array([0.07708162, 0.13213465, 0.21055423, 0.14647714, 0.20957403,\n",
      "       0.22417832]), array([0.12709102, 0.13172345, 0.20810994, 0.20311382, 0.14420331,\n",
      "       0.18575846]))\n",
      "(array([0.16993096, 0.03972681, 0.30953527, 0.04475305, 0.26614347,\n",
      "       0.16991044]), array([0.09777819, 0.09796103, 0.2479521 , 0.09315711, 0.24854212,\n",
      "       0.21460945]))\n",
      "(array([0.12659407, 0.11058279, 0.20211573, 0.11516759, 0.25159976,\n",
      "       0.19394007]), array([0.25405863, 0.07177622, 0.18513835, 0.10348192, 0.27560154,\n",
      "       0.10994333]))\n",
      "(array([0.19772422, 0.26037506, 0.11814393, 0.08292722, 0.06325105,\n",
      "       0.27757851]), array([0.0728057 , 0.14812251, 0.20008381, 0.11692394, 0.21656782,\n",
      "       0.24549623]))\n",
      "(array([0.08492846, 0.13056478, 0.21018246, 0.13105216, 0.23923702,\n",
      "       0.20403512]), array([0.17300792, 0.12537841, 0.20591227, 0.1587395 , 0.24243316,\n",
      "       0.09452875]))\n",
      "(array([0.11347636, 0.2634977 , 0.0233596 , 0.2488637 , 0.08942879,\n",
      "       0.26137385]), array([0.06032144, 0.14381444, 0.19511922, 0.13285815, 0.22512058,\n",
      "       0.24276617]))\n",
      "(array([0.06026395, 0.13760617, 0.20422855, 0.12317472, 0.23349335,\n",
      "       0.24123326]), array([0.16922196, 0.25177941, 0.04468582, 0.15474381, 0.13283298,\n",
      "       0.24673601]))\n",
      "(array([0.13763579, 0.13585325, 0.21684736, 0.13695661, 0.15405795,\n",
      "       0.21864904]), array([0.20298234, 0.13865892, 0.22098935, 0.14904336, 0.08738025,\n",
      "       0.20094578]))\n",
      "(array([0.29414652, 0.15446929, 0.10202328, 0.0488832 , 0.34444938,\n",
      "       0.05602834]), array([0.15133805, 0.0571837 , 0.05062162, 0.30236016, 0.41434627,\n",
      "       0.0241502 ]))\n",
      "(array([0.28972326, 0.15600926, 0.1677244 , 0.29569594, 0.07391097,\n",
      "       0.01693616]), array([0.29776363, 0.15790379, 0.11766721, 0.09339226, 0.28455852,\n",
      "       0.04871459]))\n",
      "(array([0.22359704, 0.07490833, 0.19402619, 0.17948211, 0.21443713,\n",
      "       0.1135492 ]), array([0.25993008, 0.11465091, 0.15123372, 0.11243377, 0.27496145,\n",
      "       0.08679006]))\n",
      "(array([0.2715289 , 0.1984624 , 0.13774647, 0.07105446, 0.25748984,\n",
      "       0.06371793]), array([0.22012191, 0.27091703, 0.19860696, 0.12977892, 0.10528483,\n",
      "       0.07529035]))\n",
      "(array([0.15213222, 0.17078257, 0.15675103, 0.173719  , 0.23971095,\n",
      "       0.10690423]), array([0.23912964, 0.16350441, 0.12576705, 0.09418936, 0.29968845,\n",
      "       0.07772109]))\n",
      "(array([0.28297981, 0.07428575, 0.1803358 , 0.17717089, 0.2361847 ,\n",
      "       0.04904306]), array([0.28906714, 0.10447954, 0.15297882, 0.1274384 , 0.27402185,\n",
      "       0.05201424]))\n",
      "(array([0.26088868, 0.17110988, 0.09950323, 0.1009396 , 0.29402103,\n",
      "       0.07353758]), array([0.23063484, 0.18094301, 0.09593513, 0.14923548, 0.25715179,\n",
      "       0.08609976]))\n",
      "(array([0.12287523, 0.18081428, 0.16342217, 0.17198942, 0.12590003,\n",
      "       0.23499887]), array([0.275302  , 0.16153361, 0.11236268, 0.05715957, 0.31159586,\n",
      "       0.08204628]))\n",
      "(array([0.2688803 , 0.17728098, 0.10573618, 0.03771337, 0.34660441,\n",
      "       0.06378476]), array([0.08588723, 0.28841649, 0.11532221, 0.0325039 , 0.37601011,\n",
      "       0.10186006]))\n",
      "(array([0.18274173, 0.12190482, 0.19205046, 0.0687419 , 0.24210691,\n",
      "       0.19245417]), array([0.19432044, 0.12551203, 0.18336231, 0.06576381, 0.2519376 ,\n",
      "       0.17910382]))\n",
      "(array([0.29381812, 0.16803774, 0.08475099, 0.04837803, 0.33096419,\n",
      "       0.07405092]), array([0.27490106, 0.19776   , 0.02494673, 0.07859337, 0.29806569,\n",
      "       0.12573315]))\n",
      "(array([0.25119164, 0.20069843, 0.20360209, 0.0265374 , 0.13487593,\n",
      "       0.18309451]), array([0.28330004, 0.17285026, 0.13807227, 0.03448072, 0.27104073,\n",
      "       0.10025598]))\n",
      "(array([0.22258634, 0.140325  , 0.08466727, 0.11807935, 0.31884813,\n",
      "       0.11549391]), array([0.08212936, 0.10747468, 0.04936597, 0.2623978 , 0.27751276,\n",
      "       0.22111942]))\n",
      "(array([0.2386095 , 0.14792418, 0.09576677, 0.08066676, 0.35019615,\n",
      "       0.08683664]), array([0.19737462, 0.14086966, 0.09015805, 0.10895083, 0.35596673,\n",
      "       0.10668011]))\n",
      "(array([0.25645807, 0.14045412, 0.08187605, 0.12291085, 0.31941478,\n",
      "       0.07888613]), array([0.18086853, 0.10922833, 0.04322715, 0.26947734, 0.28082615,\n",
      "       0.1163725 ]))\n",
      "(array([0.29778129, 0.15943239, 0.10505042, 0.0393407 , 0.34043875,\n",
      "       0.05795645]), array([0.02321674, 0.28850412, 0.22470508, 0.13379021, 0.19116947,\n",
      "       0.13861437]))\n",
      "(array([0.29447636, 0.15459002, 0.10732537, 0.04945135, 0.33859498,\n",
      "       0.05556192]), array([0.14594698, 0.05058166, 0.19473897, 0.34443544, 0.25656768,\n",
      "       0.00772926]))\n",
      "(array([0.15040714, 0.09799826, 0.09446368, 0.33314358, 0.20135982,\n",
      "       0.12262751]), array([0.19448918, 0.11580942, 0.09730709, 0.24631273, 0.24270587,\n",
      "       0.1033757 ]))\n",
      "(array([0.12843777, 0.25466254, 0.1218715 , 0.08575673, 0.30040665,\n",
      "       0.10886481]), array([0.25168255, 0.18549917, 0.10910717, 0.05186757, 0.33001816,\n",
      "       0.07182538]))\n",
      "(array([0.15259575, 0.14270114, 0.16884114, 0.08863891, 0.27932526,\n",
      "       0.16789779]), array([0.20255959, 0.14803025, 0.14689096, 0.07167027, 0.30044662,\n",
      "       0.13040231]))\n",
      "(array([0.29994139, 0.15841693, 0.10410905, 0.03859763, 0.34161311,\n",
      "       0.05732189]), array([0.29994139, 0.15841693, 0.10410905, 0.03859763, 0.34161311,\n",
      "       0.05732189]))\n",
      "(array([0.31901755, 0.26560822, 0.05922764, 0.19398975, 0.12276963,\n",
      "       0.03938721]), array([0.30890902, 0.20880716, 0.08301047, 0.11164689, 0.2387356 ,\n",
      "       0.04889086]))\n",
      "(array([0.19666533, 0.14003491, 0.17451724, 0.16807124, 0.18702702,\n",
      "       0.13368425]), array([0.25223475, 0.14992567, 0.13663294, 0.0984058 , 0.27020466,\n",
      "       0.0925962 ]))\n",
      "(array([0.23769907, 0.04948383, 0.27618524, 0.02265449, 0.29528609,\n",
      "       0.11869127]), array([0.27473752, 0.11430649, 0.17378812, 0.03214175, 0.32285384,\n",
      "       0.08217228]))\n",
      "(array([0.31175894, 0.10818836, 0.13725815, 0.06563727, 0.31724763,\n",
      "       0.05990964]), array([0.3136212 , 0.10027312, 0.14248193, 0.0698983 , 0.31340801,\n",
      "       0.06031743]))\n",
      "(array([0.22075057, 0.26862023, 0.10644442, 0.07560024, 0.06092292,\n",
      "       0.26766162]), array([0.29450679, 0.16597982, 0.10426932, 0.04113699, 0.32235029,\n",
      "       0.0717568 ]))\n",
      "(array([0.22054078, 0.13000474, 0.18607715, 0.14434847, 0.26149156,\n",
      "       0.05753731]), array([0.28212304, 0.15204093, 0.12250358, 0.06232926, 0.32363297,\n",
      "       0.05737023]))\n",
      "(array([0.29455116, 0.1618819 , 0.10121853, 0.04517836, 0.33373028,\n",
      "       0.06343977]), array([0.12397408, 0.27153271, 0.00974629, 0.25342957, 0.08427344,\n",
      "       0.25704391]))\n",
      "(array([0.24133995, 0.20442079, 0.07295099, 0.09344054, 0.24208042,\n",
      "       0.14576732]), array([0.2328734 , 0.21106727, 0.06844938, 0.10136406, 0.22770026,\n",
      "       0.15854562]))\n",
      "(array([0.28726741, 0.14427652, 0.21056362, 0.14817874, 0.04664335,\n",
      "       0.16307036]), array([0.29807817, 0.15633813, 0.11975909, 0.0547073 , 0.29824919,\n",
      "       0.07286812]))\n",
      "(array([0.20536367, 0.13939263, 0.04512359, 0.29769185, 0.28691587,\n",
      "       0.02551239]), array([0.26816468, 0.22984188, 0.04154132, 0.2819929 , 0.15015878,\n",
      "       0.02830045]))\n",
      "(array([0.30462376, 0.2232786 , 0.12082675, 0.31524777, 0.01813842,\n",
      "       0.01788471]), array([0.31090691, 0.24821598, 0.09858487, 0.30228183, 0.01861008,\n",
      "       0.02140034]))\n",
      "(array([0.22983359, 0.12237526, 0.17612759, 0.25771271, 0.10682413,\n",
      "       0.10712672]), array([0.28173731, 0.22476549, 0.10315233, 0.26264457, 0.06085345,\n",
      "       0.06684684]))\n",
      "(array([0.22943376, 0.31235657, 0.17850868, 0.19124777, 0.02081015,\n",
      "       0.06764307]), array([0.29026083, 0.31460438, 0.09186475, 0.23802701, 0.02024353,\n",
      "       0.0449995 ]))\n",
      "(array([0.2306246 , 0.25835157, 0.09583829, 0.25151813, 0.0930753 ,\n",
      "       0.07059211]), array([0.18868104, 0.23351693, 0.1206998 , 0.24483163, 0.12460309,\n",
      "       0.08766752]))\n",
      "(array([0.30325697, 0.18516546, 0.12268547, 0.26658439, 0.08569639,\n",
      "       0.03661133]), array([0.29683377, 0.15118135, 0.14464915, 0.2664663 , 0.10278917,\n",
      "       0.03808027]))\n",
      "(array([0.21998459, 0.21911482, 0.08025171, 0.22312591, 0.17006627,\n",
      "       0.08745671]), array([0.29958272, 0.29051958, 0.04920665, 0.25549056, 0.05938555,\n",
      "       0.04581493]))\n",
      "(array([0.25648453, 0.27489752, 0.07969034, 0.24323518, 0.04354129,\n",
      "       0.10215114]), array([0.16973648, 0.22503188, 0.13011452, 0.2143552 , 0.07223361,\n",
      "       0.18852831]))\n",
      "(array([0.18822029, 0.31153784, 0.07845834, 0.14658406, 0.20465773,\n",
      "       0.07054175]), array([0.19459102, 0.31174116, 0.07662006, 0.15207461, 0.19623579,\n",
      "       0.06873737]))\n",
      "(array([0.09585821, 0.10595477, 0.25388756, 0.1086901 , 0.14253185,\n",
      "       0.29307752]), array([0.30924775, 0.2990436 , 0.05554521, 0.254257  , 0.02979167,\n",
      "       0.05211477]))\n",
      "(array([0.27493755, 0.21868105, 0.00897407, 0.10696156, 0.25958433,\n",
      "       0.13086144]), array([0.32182542, 0.30469821, 0.03474365, 0.24845124, 0.04772456,\n",
      "       0.04255693]))\n",
      "(array([0.25946765, 0.24203104, 0.18437934, 0.08765574, 0.05245984,\n",
      "       0.17400639]), array([0.30306782, 0.28909917, 0.09131502, 0.20180377, 0.03173582,\n",
      "       0.0829784 ]))\n",
      "(array([0.01488342, 0.09647064, 0.03018082, 0.33953872, 0.24740217,\n",
      "       0.27152423]), array([0.31787607, 0.30891056, 0.03787243, 0.26937981, 0.02723773,\n",
      "       0.0387234 ]))\n",
      "(array([0.28042095, 0.27000058, 0.04895483, 0.23828896, 0.10529987,\n",
      "       0.05703482]), array([0.18360695, 0.17637478, 0.07099   , 0.17977002, 0.27914201,\n",
      "       0.11011624]))\n",
      "(array([0.27461576, 0.25307154, 0.03333115, 0.2913301 , 0.0867399 ,\n",
      "       0.06091154]), array([0.19075464, 0.15419243, 0.02579205, 0.32949948, 0.19178003,\n",
      "       0.10798138]))\n",
      "(array([0.17907226, 0.30315166, 0.12910711, 0.20275104, 0.10242121,\n",
      "       0.08349672]), array([0.16996956, 0.30236637, 0.13466839, 0.19882126, 0.10746602,\n",
      "       0.0867084 ]))\n",
      "(array([0.28256193, 0.25077332, 0.07684746, 0.28841789, 0.07649636,\n",
      "       0.02490303]), array([0.18590519, 0.11197988, 0.15923689, 0.33391029, 0.1969453 ,\n",
      "       0.01202244]))\n",
      "(array([0.29304573, 0.28382702, 0.04424375, 0.30084143, 0.03008402,\n",
      "       0.04795804]), array([0.07989437, 0.08756218, 0.08154702, 0.50705628, 0.09226068,\n",
      "       0.15167947]))\n",
      "(array([0.22685479, 0.30201943, 0.07434431, 0.19847273, 0.12963891,\n",
      "       0.06866982]), array([0.18130932, 0.29572379, 0.09065436, 0.16759296, 0.1790649 ,\n",
      "       0.08565467]))\n",
      "(array([0.11492812, 0.17252595, 0.17364232, 0.15352616, 0.19037656,\n",
      "       0.19500089]), array([0.268271  , 0.27578696, 0.07610979, 0.23522441, 0.06767433,\n",
      "       0.07693351]))\n",
      "(array([0.32726386, 0.31194529, 0.03982613, 0.26116326, 0.02816712,\n",
      "       0.03163434]), array([0.30066271, 0.1624701 , 0.10241197, 0.04447338, 0.33333811,\n",
      "       0.05664373]))\n",
      "(array([0.32798518, 0.31599845, 0.03812906, 0.26703902, 0.01989211,\n",
      "       0.03095619]), array([0.32798518, 0.31599845, 0.03812906, 0.26703902, 0.01989211,\n",
      "       0.03095619]))\n",
      "(array([0.15182429, 0.13449613, 0.20433742, 0.22850622, 0.11408632,\n",
      "       0.16674962]), array([0.32511958, 0.31304596, 0.04083276, 0.26641221, 0.02142437,\n",
      "       0.03316513]))\n",
      "(array([0.28012223, 0.18726493, 0.16566494, 0.16308228, 0.1262502 ,\n",
      "       0.07761541]), array([0.26035815, 0.1341069 , 0.21832843, 0.12015535, 0.17016873,\n",
      "       0.09688244]))\n",
      "(array([0.32551508, 0.05801663, 0.17150935, 0.1020368 , 0.28097463,\n",
      "       0.0619475 ]), array([0.32790885, 0.30802637, 0.04225074, 0.26194017, 0.02796001,\n",
      "       0.03191387]))\n",
      "(array([0.26651585, 0.29427626, 0.07548754, 0.16398052, 0.03176815,\n",
      "       0.16797168]), array([0.27678529, 0.2979053 , 0.0692462 , 0.1811981 , 0.02978406,\n",
      "       0.14508103]))\n",
      "(array([0.24688952, 0.19145745, 0.14582   , 0.20297258, 0.16466424,\n",
      "       0.04819622]), array([0.28381809, 0.24816974, 0.09678073, 0.23214654, 0.09873929,\n",
      "       0.04034562]))\n",
      "(array([0.2687076 , 0.3043919 , 0.02927618, 0.26504932, 0.03588577,\n",
      "       0.09668923]), array([0.17786143, 0.28660423, 0.01570865, 0.262     , 0.06039694,\n",
      "       0.19742876]))\n",
      "(array([0.31542288, 0.31118258, 0.03806059, 0.25798121, 0.02874098,\n",
      "       0.04861175]), array([0.18683425, 0.26188699, 0.03735978, 0.16526479, 0.1193187 ,\n",
      "       0.22933549]))\n",
      "(array([0.31311361, 0.25529792, 0.10381828, 0.231153  , 0.01409007,\n",
      "       0.08252711]), array([0.30027575, 0.20289825, 0.16052443, 0.20017443, 0.00908147,\n",
      "       0.12704567]))\n",
      "(array([0.14831823, 0.11685985, 0.17731912, 0.24377431, 0.17216612,\n",
      "       0.14156237]), array([0.14618363, 0.06791985, 0.07825785, 0.29675083, 0.36063499,\n",
      "       0.05025285]))\n",
      "(array([0.27416972, 0.15318434, 0.18376866, 0.33865669, 0.02638846,\n",
      "       0.02383212]), array([0.16233447, 0.13385543, 0.20455502, 0.23971329, 0.10608648,\n",
      "       0.1534553 ]))\n",
      "(array([0.17812885, 0.04696455, 0.23577551, 0.24930935, 0.14271629,\n",
      "       0.14710545]), array([0.15441556, 0.1157214 , 0.21241648, 0.23188832, 0.12068775,\n",
      "       0.16487049]))\n",
      "(array([0.15564363, 0.15959944, 0.21098217, 0.21761469, 0.10084829,\n",
      "       0.15531178]), array([0.18502447, 0.28290671, 0.22830334, 0.17250048, 0.03593183,\n",
      "       0.09533317]))\n",
      "(array([0.10049967, 0.16881082, 0.18296885, 0.22908279, 0.18470062,\n",
      "       0.13393725]), array([0.13977948, 0.13860287, 0.20248131, 0.22810736, 0.12870423,\n",
      "       0.16232475]))\n",
      "(array([0.16736848, 0.11492055, 0.21035459, 0.23357998, 0.12353803,\n",
      "       0.15023837]), array([0.25369576, 0.03697145, 0.2258921 , 0.2603111 , 0.16067398,\n",
      "       0.0624556 ]))\n",
      "(array([0.16624688, 0.15672847, 0.16010807, 0.22126729, 0.15372137,\n",
      "       0.14192792]), array([0.17429394, 0.16845113, 0.13826236, 0.21818958, 0.17145691,\n",
      "       0.12934609]))\n",
      "(array([0.14485681, 0.13578012, 0.20418119, 0.22486075, 0.11402257,\n",
      "       0.17629855]), array([0.10233771, 0.17969448, 0.17453574, 0.19357002, 0.09747878,\n",
      "       0.25238327]))\n",
      "(array([0.12679466, 0.17292187, 0.18582852, 0.18166897, 0.17810442,\n",
      "       0.15468157]), array([0.07699017, 0.26590232, 0.13816195, 0.07783009, 0.31851555,\n",
      "       0.12259992]))\n",
      "(array([0.11146741, 0.10934062, 0.24057895, 0.15900527, 0.13483071,\n",
      "       0.24477704]), array([0.11461206, 0.11120294, 0.23776589, 0.16478223, 0.13321925,\n",
      "       0.23841762]))\n",
      "(array([0.25132393, 0.19633372, 0.03493394, 0.10869535, 0.26239119,\n",
      "       0.14632187]), array([0.16641255, 0.14259073, 0.17769586, 0.20755784, 0.14064415,\n",
      "       0.16509887]))\n",
      "(array([0.19103085, 0.17263099, 0.22204515, 0.12688703, 0.09039491,\n",
      "       0.19701107]), array([0.19247814, 0.17404441, 0.22256129, 0.12341287, 0.08952721,\n",
      "       0.19797609]))\n",
      "(array([0.1010352 , 0.11753036, 0.14817164, 0.26577036, 0.16186184,\n",
      "       0.20563061]), array([0.05269779, 0.10339604, 0.08879368, 0.30398857, 0.20850452,\n",
      "       0.2426194 ]))\n",
      "(array([0.14100911, 0.13082553, 0.12996677, 0.18057356, 0.26883204,\n",
      "       0.14879299]), array([0.14399231, 0.13109502, 0.15889013, 0.19832582, 0.21133629,\n",
      "       0.15636044]))\n",
      "(array([0.14564995, 0.12002854, 0.15385218, 0.26387614, 0.15650346,\n",
      "       0.16008974]), array([0.14069396, 0.10278063, 0.07418309, 0.31779384, 0.21774292,\n",
      "       0.14680557]))\n",
      "(array([0.06251741, 0.23831005, 0.21961534, 0.1647924 , 0.16588519,\n",
      "       0.14887962]), array([0.10749792, 0.18275318, 0.21307223, 0.1976203 , 0.13972849,\n",
      "       0.15932788]))\n",
      "(array([0.14262319, 0.06817257, 0.20025039, 0.32310524, 0.21870794,\n",
      "       0.04714066]), array([0.14681745, 0.11012582, 0.20474603, 0.26006334, 0.15046017,\n",
      "       0.12778719]))\n",
      "(array([0.12766759, 0.11595403, 0.1826024 , 0.29195087, 0.1129233 ,\n",
      "       0.16890181]), array([0.06624603, 0.07098037, 0.11210044, 0.47678723, 0.10514786,\n",
      "       0.16873808]))\n",
      "(array([0.11307021, 0.20991686, 0.16520856, 0.16064554, 0.20598874,\n",
      "       0.14517009]), array([0.11606741, 0.20337157, 0.16870218, 0.16626054, 0.19844153,\n",
      "       0.14715677]))\n",
      "(array([0.07296213, 0.13216852, 0.21075558, 0.14181174, 0.2149589 ,\n",
      "       0.22734313]), array([0.13121051, 0.13168958, 0.2079086 , 0.20777923, 0.13881844,\n",
      "       0.18259365]))\n",
      "(array([0.18836536, 0.13855761, 0.18017573, 0.17847663, 0.17460342,\n",
      "       0.13982125]), array([0.26053472, 0.15140297, 0.13097445, 0.0880004 , 0.28262826,\n",
      "       0.0864592 ]))\n",
      "(array([0.17623929, 0.15965143, 0.18130179, 0.23384667, 0.10103148,\n",
      "       0.14792934]), array([0.30070458, 0.28789067, 0.06386839, 0.26107176, 0.0344792 ,\n",
      "       0.0519854 ]))\n",
      "(array([0.14895869, 0.13154365, 0.20704113, 0.22787941, 0.11561857,\n",
      "       0.16895856]), array([0.14895869, 0.13154365, 0.20704113, 0.22787941, 0.11561857,\n",
      "       0.16895856]))\n",
      "(array([0.18099581, 0.06792461, 0.27704017, 0.12114326, 0.1967536 ,\n",
      "       0.15614256]), array([0.18045808, 0.06899242, 0.27586527, 0.12293477, 0.19539179,\n",
      "       0.15635767]))\n",
      "(array([0.29066492, 0.06610323, 0.18182011, 0.12273881, 0.25487088,\n",
      "       0.08380206]), array([0.18373252, 0.11548497, 0.20085204, 0.20207856, 0.14979022,\n",
      "       0.14806168]))\n",
      "(array([0.15585175, 0.1465685 , 0.19660799, 0.21232474, 0.10793591,\n",
      "       0.18071111]), array([0.2084229 , 0.26115825, 0.11703782, 0.09369428, 0.04934276,\n",
      "       0.27034398]))\n",
      "(array([0.16594143, 0.12904351, 0.20622949, 0.20899017, 0.156017  ,\n",
      "       0.1337784 ]), array([0.18573969, 0.12612888, 0.2052833 , 0.18696934, 0.20311298,\n",
      "       0.09276581]))\n",
      "(array([0.14336624, 0.15795564, 0.17018406, 0.23379518, 0.10839612,\n",
      "       0.18630276]), array([0.1241763 , 0.24858569, 0.04371283, 0.25409453, 0.08361305,\n",
      "       0.2458176 ]))\n",
      "(array([0.14934954, 0.13348186, 0.2044201 , 0.22677275, 0.11581233,\n",
      "       0.17016342]), array([0.17388111, 0.25513291, 0.03991235, 0.15731364, 0.1279738 ,\n",
      "       0.24578619]))\n",
      "(array([0.17408764, 0.13350579, 0.2105721 , 0.21616796, 0.09492925,\n",
      "       0.17073726]), array([0.26027524, 0.14023558, 0.22268268, 0.17599987, 0.02396875,\n",
      "       0.17683789]))\n",
      "(array([0.19647763, 0.01682402, 0.27473161, 0.08712046, 0.31017722,\n",
      "       0.11466905]), array([0.16156074, 0.04178542, 0.11966855, 0.24172388, 0.38353214,\n",
      "       0.05172927]))\n",
      "(array([0.25608614, 0.09256812, 0.25027145, 0.21036306, 0.12570426,\n",
      "       0.06500696]), array([0.24395456, 0.06830139, 0.27687542, 0.15632612, 0.16767894,\n",
      "       0.08686357]))\n",
      "(array([0.19220166, 0.02346236, 0.27235876, 0.18264916, 0.18615443,\n",
      "       0.14317364]), array([0.20387927, 0.01305333, 0.31465642, 0.08686771, 0.23815786,\n",
      "       0.14338542]))\n",
      "(array([0.20621915, 0.09764278, 0.31155798, 0.06029298, 0.19942198,\n",
      "       0.12486512]), array([0.19798546, 0.2186931 , 0.26655072, 0.11814139, 0.09826639,\n",
      "       0.10036293]))\n",
      "(array([0.18983613, 0.03725541, 0.31455101, 0.05604951, 0.26180273,\n",
      "       0.1405052 ]), array([0.11397953, 0.14398802, 0.20972233, 0.18945983, 0.21251037,\n",
      "       0.13033991]))\n",
      "(array([0.25943575, 0.01716552, 0.25400064, 0.21291549, 0.19153399,\n",
      "       0.0649486 ]), array([0.225165  , 0.00855622, 0.32106924, 0.06929479, 0.25358626,\n",
      "       0.12232849]))\n",
      "(array([0.20609795, 0.06296239, 0.26800275, 0.07596447, 0.25604176,\n",
      "       0.13093068]), array([0.19797938, 0.13604695, 0.16919087, 0.1518116 , 0.23004476,\n",
      "       0.11492644]))\n",
      "(array([0.19343954, 0.03515241, 0.31681394, 0.04527638, 0.24639982,\n",
      "       0.16291791]), array([0.1172915 , 0.15415193, 0.20072618, 0.1614736 , 0.12600978,\n",
      "       0.24034702]))\n",
      "(array([0.13281681, 0.1579428 , 0.23018165, 0.02399166, 0.32932327,\n",
      "       0.12574381]), array([0.13450453, 0.15471112, 0.232632  , 0.02382659, 0.32820495,\n",
      "       0.12612079]))\n",
      "(array([0.15859811, 0.03866791, 0.31617924, 0.04793362, 0.22712027,\n",
      "       0.21150084]), array([0.13101787, 0.05570539, 0.30098879, 0.06417308, 0.20183794,\n",
      "       0.24627693]))\n",
      "(array([0.26266117, 0.18542723, 0.04256882, 0.08053   , 0.28623329,\n",
      "       0.1425795 ]), array([0.21861182, 0.02732695, 0.30888417, 0.0240424 , 0.27771031,\n",
      "       0.14342436]))\n",
      "(array([0.22100633, 0.08631985, 0.30407136, 0.01859966, 0.19462914,\n",
      "       0.17537366]), array([0.22603916, 0.13418529, 0.27935826, 0.02001945, 0.14620123,\n",
      "       0.19419662]))\n",
      "(array([0.11951412, 0.04297808, 0.2044416 , 0.16198154, 0.26677798,\n",
      "       0.20430667]), array([0.09775538, 0.05177805, 0.17134691, 0.19609658, 0.26449663,\n",
      "       0.21852645]))\n",
      "(array([0.15589655, 0.09791495, 0.1503861 , 0.11600843, 0.34169123,\n",
      "       0.13810275]), array([0.19264138, 0.03783534, 0.27729398, 0.05121015, 0.29938535,\n",
      "       0.14163379]))\n",
      "(array([0.20311888, 0.01609569, 0.30530929, 0.05834175, 0.2742924 ,\n",
      "       0.14284198]), array([0.14676154, 0.08054321, 0.06154917, 0.31164742, 0.26086223,\n",
      "       0.13863643]))\n",
      "(array([0.05810576, 0.23452874, 0.24891222, 0.11163197, 0.2067416 ,\n",
      "       0.14007971]), array([0.17544608, 0.06036422, 0.32259854, 0.03909993, 0.25978033,\n",
      "       0.1427109 ]))\n",
      "(array([0.19804997, 0.01367412, 0.31619506, 0.0842172 , 0.27191778,\n",
      "       0.11594586]), array([0.15492718, 0.03845401, 0.22762454, 0.28727058, 0.25815859,\n",
      "       0.0335651 ]))\n",
      "(array([0.12531305, 0.03140069, 0.21150463, 0.28921353, 0.18594462,\n",
      "       0.15662348]), array([0.13213708, 0.02936345, 0.2220214 , 0.26784378, 0.19303478,\n",
      "       0.15559952]))\n",
      "(array([0.11861358, 0.20146563, 0.19048223, 0.07496714, 0.28524324,\n",
      "       0.12922818]), array([0.17406055, 0.08565253, 0.2822517 , 0.04025814, 0.28009528,\n",
      "       0.1376818 ]))\n",
      "(array([0.06765766, 0.12227119, 0.22224389, 0.11336363, 0.24119436,\n",
      "       0.23326927]), array([0.20005149, 0.01541665, 0.33524347, 0.02454654, 0.27349123,\n",
      "       0.15125061]))\n",
      "(array([0.27596385, 0.11645275, 0.17039777, 0.03245587, 0.3237666 ,\n",
      "       0.08096315]), array([0.23647274, 0.04733757, 0.27957559, 0.02234037, 0.29437333,\n",
      "       0.11990041]))\n",
      "(array([0.23332498, 0.06139774, 0.29036117, 0.0614402 , 0.23024017,\n",
      "       0.12323575]), array([0.3071554 , 0.2599741 , 0.0936322 , 0.22179743, 0.06617876,\n",
      "       0.05126211]))\n",
      "(array([0.15535876, 0.11883445, 0.22102486, 0.20655669, 0.13182694,\n",
      "       0.1663983 ]), array([0.20609513, 0.01808258, 0.33188058, 0.03752133, 0.26031845,\n",
      "       0.14610193]))\n",
      "(array([0.2124952 , 0.00537338, 0.34586431, 0.01619861, 0.27652682,\n",
      "       0.14354167]), array([0.2124952 , 0.00537338, 0.34586431, 0.01619861, 0.27652682,\n",
      "       0.14354167]))\n",
      "(array([0.3030777 , 0.04120036, 0.20933454, 0.08095283, 0.28656462,\n",
      "       0.07886994]), array([0.23485625, 0.01421757, 0.3121608 , 0.03218373, 0.27900473,\n",
      "       0.12757692]))\n",
      "(array([0.21287286, 0.04163085, 0.31383095, 0.02449161, 0.2450816 ,\n",
      "       0.16209214]), array([0.21493831, 0.23992565, 0.13863805, 0.06984662, 0.07310532,\n",
      "       0.26354606]))\n",
      "(array([0.20966526, 0.039617  , 0.30492076, 0.06017946, 0.26696643,\n",
      "       0.11865109]), array([0.20555236, 0.08938512, 0.24541523, 0.12409925, 0.2530718 ,\n",
      "       0.08247623]))\n",
      "(array([0.19883086, 0.04460441, 0.2965377 , 0.05167384, 0.24740649,\n",
      "       0.16094671]), array([0.13224819, 0.23576665, 0.05618238, 0.22453508, 0.10551094,\n",
      "       0.24575676]))\n",
      "(array([0.20844944, 0.03201448, 0.31320322, 0.03101788, 0.26082364,\n",
      "       0.15449133]), array([0.17831772, 0.23043003, 0.06995241, 0.14138771, 0.14387074,\n",
      "       0.23604139]))\n",
      "(array([0.22789812, 0.03427921, 0.32058664, 0.04748441, 0.21879994,\n",
      "       0.15095168]), array([0.27000126, 0.11329189, 0.25149133, 0.13300262, 0.06100631,\n",
      "       0.17120659]))\n",
      "(array([0.26960038, 0.05103517, 0.13618154, 0.16389219, 0.32881632,\n",
      "       0.05047439]), array([0.20138155, 0.05224543, 0.08798533, 0.24569149, 0.37740875,\n",
      "       0.03528745]))\n",
      "(array([0.30418554, 0.10918923, 0.17880081, 0.23914813, 0.13638135,\n",
      "       0.03229494]), array([0.3087987 , 0.09635145, 0.17811278, 0.20828039, 0.16951756,\n",
      "       0.03893911]))\n",
      "(array([0.26192433, 0.04158111, 0.20496741, 0.16695694, 0.22579495,\n",
      "       0.09877527]), array([0.24710015, 0.03960575, 0.21181448, 0.18329927, 0.21103305,\n",
      "       0.1071473 ]))\n",
      "(array([0.22202267, 0.25181862, 0.21941148, 0.1474343 , 0.08188379,\n",
      "       0.07742914]), array([0.2951255 , 0.10918843, 0.18846392, 0.11173941, 0.2283203 ,\n",
      "       0.06716244]))\n",
      "(array([0.25566286, 0.0875452 , 0.17645897, 0.13638993, 0.2618448 ,\n",
      "       0.08209824]), array([0.16109636, 0.1383694 , 0.17758108, 0.18985876, 0.22498402,\n",
      "       0.10811038]))\n",
      "(array([0.31631392, 0.0449638 , 0.18479715, 0.12586496, 0.26843476,\n",
      "       0.05962541]), array([0.28123039, 0.02542911, 0.22003944, 0.23708466, 0.18920121,\n",
      "       0.04701519]))\n",
      "(array([0.22844777, 0.15408925, 0.11454695, 0.18000443, 0.23145018,\n",
      "       0.09146142]), array([0.28857312, 0.08959126, 0.15241337, 0.12851097, 0.26715206,\n",
      "       0.07375922]))\n",
      "(array([0.13774658, 0.16064801, 0.17236362, 0.17427193, 0.1294734 ,\n",
      "       0.22549646]), array([0.285928  , 0.07332749, 0.17494321, 0.11321739, 0.25545191,\n",
      "       0.09713199]))\n",
      "(array([0.27418929, 0.09876071, 0.1645177 , 0.08456777, 0.30645799,\n",
      "       0.07150654]), array([0.1060756 , 0.25856438, 0.12806266, 0.04398983, 0.36358595,\n",
      "       0.09972157]))\n",
      "(array([0.10598452, 0.08447186, 0.26018301, 0.0960278 , 0.16831066,\n",
      "       0.28502215]), array([0.29657502, 0.05457261, 0.18675173, 0.09681824, 0.27316326,\n",
      "       0.09211914]))\n",
      "(array([0.2908299 , 0.14614648, 0.07176813, 0.0917069 , 0.28804951,\n",
      "       0.11149908]), array([0.30338665, 0.11127887, 0.10945157, 0.09360483, 0.2884098 ,\n",
      "       0.09386829]))\n",
      "(array([0.31830668, 0.06299904, 0.18049104, 0.09109053, 0.27140714,\n",
      "       0.07570557]), array([0.24168236, 0.20217727, 0.23270529, 0.02826792, 0.08193894,\n",
      "       0.21322821]))\n",
      "(array([0.04022354, 0.08503394, 0.04603198, 0.3148014 , 0.25853905,\n",
      "       0.2553701 ]), array([0.28998952, 0.05439336, 0.15952324, 0.12401607, 0.28525127,\n",
      "       0.08682654]))\n",
      "(array([0.22401492, 0.09306349, 0.12539183, 0.12589952, 0.32947756,\n",
      "       0.10215269]), array([0.23746657, 0.08735797, 0.13205496, 0.1220584 , 0.32411474,\n",
      "       0.09694737]))\n",
      "(array([0.2923007 , 0.05730835, 0.14838153, 0.1421995 , 0.28368297,\n",
      "       0.07612695]), array([0.17052327, 0.08400172, 0.04824364, 0.30852901, 0.26398738,\n",
      "       0.12471498]))\n",
      "(array([0.02685923, 0.28495434, 0.22469298, 0.13381659, 0.19188331,\n",
      "       0.13779356]), array([0.31963616, 0.05460979, 0.17658449, 0.09765465, 0.28715434,\n",
      "       0.06436057]))\n",
      "(array([0.14620056, 0.04685647, 0.19726506, 0.3473013 , 0.25464694,\n",
      "       0.00772967]), array([0.31972014, 0.04994284, 0.17632126, 0.10492581, 0.28794514,\n",
      "       0.06114481]))\n",
      "(array([0.22579077, 0.05194391, 0.14437802, 0.25465045, 0.22275239,\n",
      "       0.10048446]), array([0.1446029 , 0.0534914 , 0.11891473, 0.38314619, 0.16874272,\n",
      "       0.13110205]))\n",
      "(array([0.18806779, 0.17982073, 0.14831957, 0.09810785, 0.28891324,\n",
      "       0.09677081]), array([0.21754989, 0.15196859, 0.15418107, 0.09785677, 0.28894099,\n",
      "       0.08950268]))\n",
      "(array([0.25248144, 0.0722564 , 0.18534842, 0.10362651, 0.27530455,\n",
      "       0.11098268]), array([0.12817126, 0.11010261, 0.20190565, 0.11502299, 0.25189675,\n",
      "       0.19290073]))\n",
      "(array([0.31842503, 0.07985523, 0.15595702, 0.08088991, 0.30350345,\n",
      "       0.06136935]), array([0.30695511, 0.12860626, 0.12378305, 0.05464567, 0.32715219,\n",
      "       0.05885772]))\n",
      "(array([0.32569582, 0.07689347, 0.16174975, 0.11411021, 0.26187091,\n",
      "       0.05967983]), array([0.32772811, 0.28914953, 0.05201033, 0.24986675, 0.04706373,\n",
      "       0.03418154]))\n",
      "(array([0.30072344, 0.06145817, 0.18002988, 0.11527577, 0.26475521,\n",
      "       0.07775753]), array([0.173674  , 0.12013003, 0.20264227, 0.20954159, 0.13990589,\n",
      "       0.15410622]))\n",
      "(array([0.22388263, 0.00987732, 0.32870069, 0.02433908, 0.2777887 ,\n",
      "       0.13541157]), array([0.31405132, 0.04554062, 0.19279465, 0.08879748, 0.28778065,\n",
      "       0.07103529]))\n",
      "(array([0.32543875, 0.05004455, 0.17563102, 0.09693795, 0.28904253,\n",
      "       0.06290519]), array([0.32543875, 0.05004455, 0.17563102, 0.09693795, 0.28904253,\n",
      "       0.06290519]))\n",
      "(array([0.25031426, 0.20431367, 0.12854205, 0.08411394, 0.12028109,\n",
      "       0.21243499]), array([0.29044046, 0.121914  , 0.15369366, 0.09096362, 0.21042154,\n",
      "       0.13256672]))\n",
      "(array([0.21693315, 0.11510758, 0.20113189, 0.15984174, 0.24878398,\n",
      "       0.05820166]), array([0.31122803, 0.0585657 , 0.17897081, 0.10517631, 0.28376996,\n",
      "       0.06228918]))\n",
      "(array([0.22928541, 0.15461058, 0.09717842, 0.17273964, 0.19019453,\n",
      "       0.15599142]), array([0.21473719, 0.17043165, 0.08530837, 0.18420861, 0.17523861,\n",
      "       0.17007557]))\n",
      "(array([0.21481512, 0.20154628, 0.07439424, 0.14031093, 0.17131448,\n",
      "       0.19761894]), array([0.28489559, 0.1055694 , 0.1385281 , 0.112834  , 0.24589562,\n",
      "       0.1122773 ]))\n",
      "(array([0.30647398, 0.09369842, 0.19959252, 0.12884253, 0.15367373,\n",
      "       0.11771882]), array([0.30436895, 0.09854386, 0.20225216, 0.13238384, 0.13864823,\n",
      "       0.12380296]))\n",
      "(array([0.19108929, 0.19877091, 0.08644189, 0.15956538, 0.17204989,\n",
      "       0.19208265]), array([0.16976985, 0.13064826, 0.06869865, 0.23121996, 0.28679275,\n",
      "       0.11287054]))\n",
      "(array([0.27841434, 0.1707532 , 0.17184189, 0.31606035, 0.01999203,\n",
      "       0.04293818]), array([0.22444712, 0.26092603, 0.11604536, 0.11256983, 0.03852445,\n",
      "       0.24748721]))\n",
      "(array([0.21463048, 0.2708894 , 0.10951134, 0.08192407, 0.04395277,\n",
      "       0.27909194]), array([0.18427121, 0.03643602, 0.2382442 , 0.2495338 , 0.1454928 ,\n",
      "       0.14602196]))\n",
      "(array([0.21343075, 0.27896058, 0.11663824, 0.08485551, 0.04002309,\n",
      "       0.26609183]), array([0.19359463, 0.30818503, 0.22221083, 0.15551987, 0.02279857,\n",
      "       0.09769108]))\n",
      "(array([0.15402503, 0.22659839, 0.14209755, 0.15286345, 0.11883323,\n",
      "       0.20558235]), array([0.1526114 , 0.22545476, 0.14291617, 0.15458689, 0.12061316,\n",
      "       0.20381762]))\n",
      "(array([0.23252964, 0.19863624, 0.14376662, 0.1350861 , 0.08013526,\n",
      "       0.20984615]), array([0.25489189, 0.09789523, 0.19204363, 0.20906518, 0.13011828,\n",
      "       0.11598579]))\n",
      "(array([0.20794355, 0.25054157, 0.10185971, 0.11958927, 0.09381458,\n",
      "       0.22625132]), array([0.19895455, 0.21927749, 0.09607428, 0.17012779, 0.15740522,\n",
      "       0.15816066]))\n",
      "(array([0.10072784, 0.18589451, 0.17029079, 0.18815872, 0.09472867,\n",
      "       0.26019947]), array([0.21282396, 0.27421956, 0.1079897 , 0.08053225, 0.04281421,\n",
      "       0.28162032]))\n",
      "(array([0.20558857, 0.27806795, 0.10723168, 0.07532001, 0.06222779,\n",
      "       0.271564  ]), array([0.06455353, 0.30539571, 0.11632234, 0.03443925, 0.36043371,\n",
      "       0.11885546]))\n",
      "(array([0.17136257, 0.21664893, 0.15898771, 0.08379093, 0.07689124,\n",
      "       0.29231862]), array([0.12107418, 0.1485341 , 0.21892069, 0.09025677, 0.11720025,\n",
      "       0.30401401]))\n",
      "(array([0.23452007, 0.25146853, 0.07031857, 0.08181584, 0.12993874,\n",
      "       0.23193826]), array([0.24957369, 0.23209539, 0.04187479, 0.08469755, 0.19913813,\n",
      "       0.19262045]))\n",
      "(array([0.23085994, 0.22684523, 0.21243886, 0.03311091, 0.05995912,\n",
      "       0.23678594]), array([0.21900631, 0.26446963, 0.13173114, 0.06744919, 0.04600453,\n",
      "       0.27133919]))\n",
      "(array([0.10112033, 0.17486451, 0.06501397, 0.22118943, 0.15723668,\n",
      "       0.28057508]), array([0.11896995, 0.19070135, 0.07151491, 0.19882969, 0.13917121,\n",
      "       0.28081289]))\n",
      "(array([0.16274635, 0.17949252, 0.09016605, 0.12646982, 0.25578261,\n",
      "       0.18534264]), array([0.18861234, 0.22706749, 0.09825441, 0.10268976, 0.15042725,\n",
      "       0.23294875]))\n",
      "(array([0.14282856, 0.10418171, 0.0269739 , 0.33453679, 0.24347297,\n",
      "       0.14800607]), array([0.20987263, 0.26326691, 0.10062493, 0.09739339, 0.05681494,\n",
      "       0.2720272 ]))\n",
      "(array([0.08865064, 0.28487905, 0.18422497, 0.11491068, 0.13838082,\n",
      "       0.18895383]), array([0.14772197, 0.28082363, 0.14802617, 0.09776222, 0.09327439,\n",
      "       0.23239163]))\n",
      "(array([0.17296483, 0.14634173, 0.15830313, 0.23498805, 0.16157561,\n",
      "       0.12582665]), array([0.18283309, 0.17659613, 0.14625685, 0.19844072, 0.13363404,\n",
      "       0.16223917]))\n",
      "(array([0.06039895, 0.07540661, 0.08937899, 0.49891104, 0.09694146,\n",
      "       0.17896294]), array([0.19987194, 0.25616725, 0.10488742, 0.12008726, 0.04717122,\n",
      "       0.27181491]))\n",
      "(array([0.12108958, 0.28006107, 0.12073472, 0.09270344, 0.21399038,\n",
      "       0.17142082]), array([0.17440532, 0.27786682, 0.11273958, 0.08446284, 0.11648143,\n",
      "       0.23404401]))\n",
      "(array([0.07635767, 0.15131433, 0.1977539 , 0.11595727, 0.21220836,\n",
      "       0.24640847]), array([0.19417225, 0.25718323, 0.12047384, 0.0838939 , 0.06761051,\n",
      "       0.27666628]))\n",
      "(array([0.28887161, 0.17382183, 0.1044355 , 0.04377008, 0.30237651,\n",
      "       0.08672447]), array([0.22638575, 0.26077822, 0.10627824, 0.07296716, 0.0808967 ,\n",
      "       0.25269394]))\n",
      "(array([0.29015356, 0.30262941, 0.06112153, 0.20361112, 0.02720128,\n",
      "       0.11528309]), array([0.25314759, 0.28955215, 0.08361221, 0.1415675 , 0.03435093,\n",
      "       0.19776962]))\n",
      "(array([0.21118023, 0.26716842, 0.11286441, 0.08747218, 0.04626958,\n",
      "       0.27504518]), array([0.15309442, 0.14055833, 0.2007814 , 0.21854684, 0.11100909,\n",
      "       0.17600991]))\n",
      "(array([0.21380945, 0.13154907, 0.23438845, 0.04505817, 0.1670977 ,\n",
      "       0.20809716]), array([0.21400171, 0.15000742, 0.21808055, 0.04928006, 0.15108922,\n",
      "       0.21754104]))\n",
      "(array([0.31561798, 0.07021163, 0.16947524, 0.09526151, 0.26698092,\n",
      "       0.08245271]), array([0.22513674, 0.25601603, 0.11276047, 0.07981605, 0.06372171,\n",
      "       0.262549  ]))\n",
      "(array([0.21531597, 0.27618311, 0.10660469, 0.07813961, 0.0416601 ,\n",
      "       0.28209653]), array([0.21531597, 0.27618311, 0.10660469, 0.07813961, 0.0416601 ,\n",
      "       0.28209653]))\n",
      "(array([0.20613683, 0.16498976, 0.17793766, 0.14369515, 0.18878484,\n",
      "       0.11845575]), array([0.21190157, 0.23482208, 0.1331387 , 0.10252456, 0.09638667,\n",
      "       0.22122642]))\n",
      "(array([0.18635933, 0.27582825, 0.07674497, 0.13258238, 0.05205663,\n",
      "       0.27642844]), array([0.14754049, 0.27535254, 0.03671548, 0.20556754, 0.06599407,\n",
      "       0.26882989]))\n",
      "(array([0.19451301, 0.26649629, 0.07147354, 0.11770768, 0.08550599,\n",
      "       0.26430349]), array([0.19507492, 0.26675794, 0.07242246, 0.11663891, 0.08432167,\n",
      "       0.26478409]))\n",
      "(array([0.26381796, 0.18346341, 0.18937571, 0.13775575, 0.01510016,\n",
      "       0.21048701]), array([0.23690219, 0.23491742, 0.14344263, 0.10467228, 0.02983937,\n",
      "       0.25022611]))\n",
      "(array([0.20246405, 0.12331065, 0.20376705, 0.16873335, 0.24429618,\n",
      "       0.05742872]), array([0.14580155, 0.05355414, 0.04924048, 0.31199248, 0.41639777,\n",
      "       0.02301358]))\n",
      "(array([0.28482911, 0.1544756 , 0.18202517, 0.34464904, 0.02411481,\n",
      "       0.00990627]), array([0.20543881, 0.12464926, 0.20372906, 0.17392164, 0.23625299,\n",
      "       0.05600824]))\n",
      "(array([0.19625961, 0.09239437, 0.21685891, 0.19686659, 0.211183  ,\n",
      "       0.08643751]), array([0.19004854, 0.06237667, 0.22876362, 0.22453177, 0.18011388,\n",
      "       0.11416551]))\n",
      "(array([0.19473333, 0.259525  , 0.22461864, 0.16384048, 0.08221366,\n",
      "       0.07506888]), array([0.19969851, 0.17506624, 0.21209741, 0.16647538, 0.18245931,\n",
      "       0.06420315]))\n",
      "(array([0.10541873, 0.16925874, 0.18170734, 0.22156181, 0.20357294,\n",
      "       0.11848043]), array([0.18862416, 0.13024004, 0.20117336, 0.17582903, 0.23772476,\n",
      "       0.06640865]))\n",
      "(array([0.26280794, 0.03418835, 0.22589112, 0.25288844, 0.17863275,\n",
      "       0.0455914 ]), array([0.21202005, 0.10978875, 0.20778612, 0.18120333, 0.2334721 ,\n",
      "       0.05572966]))\n",
      "(array([0.19619141, 0.1646706 , 0.13814174, 0.19358051, 0.22360716,\n",
      "       0.08380858]), array([0.19811315, 0.15259409, 0.15765924, 0.18607705, 0.22946396,\n",
      "       0.07609252]))\n",
      "(array([0.12622696, 0.16777647, 0.18046155, 0.18453149, 0.13543131,\n",
      "       0.20557221]), array([0.1747313 , 0.13978322, 0.19568592, 0.17409997, 0.20396288,\n",
      "       0.1117367 ]))\n",
      "(array([0.06080138, 0.29986073, 0.12048537, 0.03713286, 0.3754466 ,\n",
      "       0.10627307]), array([0.19674719, 0.13104855, 0.20093564, 0.16256689, 0.24906622,\n",
      "       0.05963551]))\n",
      "(array([0.10813153, 0.09754969, 0.25480304, 0.11372718, 0.17491883,\n",
      "       0.25086972]), array([0.17171168, 0.11507896, 0.22097234, 0.15026101, 0.22102398,\n",
      "       0.12095203]))\n",
      "(array([0.21005764, 0.1329291 , 0.18238642, 0.159229  , 0.24838695,\n",
      "       0.06701089]), array([0.26144258, 0.19808043, 0.02767392, 0.09722488, 0.28254124,\n",
      "       0.13303694]))\n",
      "(array([0.21356785, 0.15480863, 0.21574842, 0.11844621, 0.18244587,\n",
      "       0.11498302]), array([0.22370486, 0.18395186, 0.22628857, 0.07205438, 0.12536909,\n",
      "       0.16863123]))\n",
      "(array([0.10909997, 0.10743159, 0.12191689, 0.25028108, 0.24882582,\n",
      "       0.16244465]), array([0.09839677, 0.10557989, 0.11247898, 0.25967854, 0.24943338,\n",
      "       0.17443244]))\n",
      "(array([0.15188966, 0.12877315, 0.11096586, 0.15507444, 0.3357841 ,\n",
      "       0.1175128 ]), array([0.1868755 , 0.12523249, 0.17532159, 0.16402563, 0.27227708,\n",
      "       0.07626771]))\n",
      "(array([0.16946222, 0.10715409, 0.1110716 , 0.26261686, 0.25120649,\n",
      "       0.09848874]), array([0.17064542, 0.10774016, 0.11439422, 0.2592538 , 0.25093274,\n",
      "       0.09703365]))\n",
      "(array([0.06782368, 0.24681355, 0.22019533, 0.14316939, 0.20377205,\n",
      "       0.11822599]), array([0.15595539, 0.16633476, 0.20992279, 0.159444  , 0.22973447,\n",
      "       0.07860859]))\n",
      "(array([0.16786583, 0.08057692, 0.2008223 , 0.27292298, 0.24913308,\n",
      "       0.02867889]), array([0.17533855, 0.08980656, 0.20160467, 0.25044629, 0.24792788,\n",
      "       0.03487605]))\n",
      "(array([0.07427882, 0.06807399, 0.10937292, 0.47157117, 0.12867087,\n",
      "       0.14803222]), array([0.17339853, 0.11094549, 0.18276047, 0.23736763, 0.21729312,\n",
      "       0.07823475]))\n",
      "(array([0.11899971, 0.2316549 , 0.15145331, 0.12090223, 0.27446094,\n",
      "       0.1025289 ]), array([0.16390165, 0.1737186 , 0.17988797, 0.14620454, 0.25786218,\n",
      "       0.07842506]))\n",
      "(array([0.14224264, 0.12718996, 0.2074038 , 0.14906858, 0.24131678,\n",
      "       0.13277824]), array([0.11569374, 0.12875323, 0.20869092, 0.14072307, 0.2403534 ,\n",
      "       0.16578563]))\n",
      "(array([0.24626935, 0.13921128, 0.15951663, 0.11008151, 0.28745373,\n",
      "       0.0574675 ]), array([0.25639447, 0.14283439, 0.1490641 , 0.09659622, 0.29767079,\n",
      "       0.05744003]))\n",
      "(array([0.21168655, 0.13739521, 0.19256777, 0.17516186, 0.22750864,\n",
      "       0.05567997]), array([0.31902105, 0.30223198, 0.05003296, 0.25995726, 0.03589488,\n",
      "       0.03286186]))\n",
      "(array([0.20183568, 0.12375928, 0.20451405, 0.1690664 , 0.24140202,\n",
      "       0.05942257]), array([0.14984544, 0.1314131 , 0.20699875, 0.22689311, 0.11772796,\n",
      "       0.16712163]))\n",
      "(array([0.20791205, 0.0608317 , 0.27955528, 0.08742661, 0.26104355,\n",
      "       0.1032308 ]), array([0.20730557, 0.06817042, 0.27078071, 0.0968521 , 0.25899468,\n",
      "       0.09789652]))\n",
      "(array([0.28858652, 0.07214219, 0.18429199, 0.11830224, 0.27536934,\n",
      "       0.06130771]), array([0.23957466, 0.10153109, 0.1958107 , 0.14671581, 0.2571846 ,\n",
      "       0.05918313]))\n",
      "(array([0.21431998, 0.26411804, 0.1143447 , 0.08525274, 0.05762392,\n",
      "       0.26434063]), array([0.20371841, 0.13569381, 0.19673166, 0.16096698, 0.2275476 ,\n",
      "       0.07534154]))\n",
      "(array([0.20272243, 0.12362874, 0.20447167, 0.1680801 , 0.24351141,\n",
      "       0.05758565]), array([0.20272243, 0.12362874, 0.20447167, 0.1680801 , 0.24351141,\n",
      "       0.05758565]))\n",
      "(array([0.18332776, 0.15852058, 0.15891951, 0.1892708 , 0.20498863,\n",
      "       0.10497272]), array([0.13797852, 0.24010583, 0.05240793, 0.2388196 , 0.11491339,\n",
      "       0.21577473]))\n",
      "(array([0.19355014, 0.16664988, 0.15057358, 0.16425227, 0.20632514,\n",
      "       0.11864899]), array([0.18344425, 0.21404998, 0.09118941, 0.16003481, 0.16535384,\n",
      "       0.18592772]))\n",
      "(array([0.20475277, 0.12408472, 0.20500557, 0.16798699, 0.23761226,\n",
      "       0.06055769]), array([0.28337384, 0.14174174, 0.22567975, 0.16438153, 0.00917859,\n",
      "       0.17564455]))\n",
      "(array([0.12880867, 0.19089047, 0.02266371, 0.27997326, 0.20564226,\n",
      "       0.17202162]), array([0.13531835, 0.13734326, 0.0327279 , 0.29268277, 0.28793088,\n",
      "       0.11399684]))\n",
      "(array([0.21172881, 0.20911901, 0.10301355, 0.30989015, 0.04357065,\n",
      "       0.12267782]), array([0.19440053, 0.22137479, 0.08512478, 0.30061072, 0.04967633,\n",
      "       0.14881284]))\n",
      "(array([0.12263861, 0.25978621, 0.02147087, 0.25959286, 0.08084415,\n",
      "       0.25566731]), array([0.17953097, 0.04635377, 0.22653576, 0.2537357 , 0.14333193,\n",
      "       0.15051187]))\n",
      "(array([0.15567982, 0.29324232, 0.12119346, 0.21041012, 0.04837339,\n",
      "       0.17110089]), array([0.15461345, 0.29271786, 0.11790669, 0.21183594, 0.04917878,\n",
      "       0.17374729]))\n",
      "(array([0.10932559, 0.24133533, 0.06511283, 0.24958516, 0.11761486,\n",
      "       0.21702622]), array([0.10057873, 0.20953239, 0.12015197, 0.23973587, 0.15656203,\n",
      "       0.17343902]))\n",
      "(array([0.26571367, 0.0309507 , 0.21994802, 0.2657618 , 0.16475457,\n",
      "       0.05287125]), array([0.12497574, 0.26439534, 0.01611332, 0.26026017, 0.08022947,\n",
      "       0.25402597]))\n",
      "(array([0.18946503, 0.19599561, 0.0888794 , 0.21298211, 0.20569753,\n",
      "       0.10698033]), array([0.12070095, 0.27263802, 0.00930567, 0.25860565, 0.08025278,\n",
      "       0.25849693]))\n",
      "(array([0.11626441, 0.26461711, 0.02564338, 0.25209277, 0.07861249,\n",
      "       0.26276984]), array([0.10055528, 0.19431152, 0.15288819, 0.19846889, 0.09366089,\n",
      "       0.26011521]))\n",
      "(array([0.0877238 , 0.29062325, 0.06014333, 0.14946451, 0.22382852,\n",
      "       0.18821659]), array([0.08568619, 0.29165497, 0.06366178, 0.14216544, 0.23356349,\n",
      "       0.18326814]))\n",
      "(array([0.11825233, 0.27351054, 0.00897016, 0.25869823, 0.07699859,\n",
      "       0.26357016]), array([0.0774523 , 0.09048706, 0.26918932, 0.09722016, 0.15182341,\n",
      "       0.31382774]))\n",
      "(array([0.14013876, 0.26529372, 0.00667392, 0.23537808, 0.10667578,\n",
      "       0.24583973]), array([0.24722288, 0.21708476, 0.00577052, 0.113006  , 0.25713159,\n",
      "       0.15978425]))\n",
      "(array([0.19287769, 0.23664461, 0.1546597 , 0.10779853, 0.06864704,\n",
      "       0.23937244]), array([0.16025646, 0.25348482, 0.08976137, 0.17463227, 0.07204711,\n",
      "       0.24981796]))\n",
      "(array([0.025432  , 0.12307391, 0.02573702, 0.32701935, 0.22237399,\n",
      "       0.27636374]), array([0.09792616, 0.24130652, 0.01104294, 0.27487047, 0.1087644 ,\n",
      "       0.26608951]))\n",
      "(array([0.12356408, 0.23374394, 0.02823845, 0.22892031, 0.15858932,\n",
      "       0.2269439 ]), array([0.13106251, 0.17163064, 0.06043309, 0.18210996, 0.28235105,\n",
      "       0.17241276]))\n",
      "(array([0.13449408, 0.11951847, 0.01882005, 0.33936974, 0.23060475,\n",
      "       0.15719291]), array([0.12147498, 0.24674473, 0.00902986, 0.27443113, 0.10441367,\n",
      "       0.24390563]))\n",
      "(array([0.11741641, 0.27517151, 0.00947478, 0.25850829, 0.07775049,\n",
      "       0.26167851]), array([0.02222408, 0.28934574, 0.22302744, 0.13603529, 0.18863522,\n",
      "       0.14073222]))\n",
      "(array([0.12469454, 0.21130629, 0.06018226, 0.28659795, 0.12582696,\n",
      "       0.191392  ]), array([0.13437127, 0.11044614, 0.1446288 , 0.32870152, 0.20411319,\n",
      "       0.07773908]))\n",
      "(array([0.063321  , 0.11016972, 0.0675054 , 0.47080359, 0.09595166,\n",
      "       0.19224863]), array([0.10021778, 0.22021871, 0.02701208, 0.33006541, 0.08289153,\n",
      "       0.2395945 ]))\n",
      "(array([0.10778113, 0.27689553, 0.04061385, 0.21472803, 0.13614146,\n",
      "       0.22384   ]), array([0.09098166, 0.27984692, 0.09311153, 0.14430894, 0.22906085,\n",
      "       0.16269011]))\n",
      "(array([0.05903211, 0.14091139, 0.19928543, 0.13004432, 0.22841193,\n",
      "       0.24231482]), array([0.11476569, 0.26640074, 0.01919338, 0.25167754, 0.08613744,\n",
      "       0.2618252 ]))\n",
      "(array([0.23901752, 0.19758018, 0.07143852, 0.11297732, 0.25251628,\n",
      "       0.12647018]), array([0.17950773, 0.23583443, 0.0395263 , 0.18563061, 0.16548744,\n",
      "       0.1940135 ]))\n",
      "(array([0.12452037, 0.27616005, 0.00774236, 0.26020957, 0.07478887,\n",
      "       0.25657878]), array([0.32204866, 0.31483608, 0.03724246, 0.26683975, 0.02149384,\n",
      "       0.0375392 ]))\n",
      "(array([0.14588491, 0.14606044, 0.18678342, 0.23113089, 0.1116489 ,\n",
      "       0.17849143]), array([0.12165763, 0.26048088, 0.02711347, 0.25675883, 0.08036027,\n",
      "       0.25362893]))\n",
      "(array([0.19161645, 0.06531736, 0.27049455, 0.07040382, 0.23203172,\n",
      "       0.17013611]), array([0.13946261, 0.2150537 , 0.08222553, 0.20580509, 0.1208857 ,\n",
      "       0.23656736]))\n",
      "(array([0.19385677, 0.19313896, 0.06827179, 0.20066952, 0.15377301,\n",
      "       0.19028995]), array([0.25016584, 0.13190327, 0.114215  , 0.15627873, 0.21166012,\n",
      "       0.13577704]))\n",
      "(array([0.1214707 , 0.27503305, 0.00983265, 0.25458259, 0.07535411,\n",
      "       0.26372688]), array([0.21242911, 0.27614773, 0.1036278 , 0.08356732, 0.04269659,\n",
      "       0.28153144]))\n",
      "(array([0.17889896, 0.16648819, 0.14851759, 0.19410974, 0.19619189,\n",
      "       0.11579364]), array([0.14240732, 0.23213822, 0.06280985, 0.23398067, 0.12371013,\n",
      "       0.20495381]))\n",
      "(array([0.11858385, 0.27499768, 0.00685577, 0.2600103 , 0.0763906 ,\n",
      "       0.2631618 ]), array([0.11858385, 0.27499768, 0.00685577, 0.2600103 , 0.0763906 ,\n",
      "       0.2631618 ]))\n",
      "(array([0.16368872, 0.26047797, 0.0315072 , 0.17593426, 0.11832762,\n",
      "       0.25006422]), array([0.12916709, 0.27159083, 0.01263988, 0.24028302, 0.08623055,\n",
      "       0.26008863]))\n",
      "(array([0.26329185, 0.15980059, 0.19713738, 0.17697652, 0.01297044,\n",
      "       0.18982321]), array([0.14069618, 0.25739481, 0.03593204, 0.2473222 , 0.06669959,\n",
      "       0.25195518]))\n",
      "(array([0.16217306, 0.17122764, 0.04202686, 0.22208989, 0.24988388,\n",
      "       0.15259867]), array([0.15764207, 0.13907954, 0.0438003 , 0.24676282, 0.29546623,\n",
      "       0.11724904]))\n",
      "(array([0.27437495, 0.16730646, 0.1645404 , 0.32790081, 0.02979877,\n",
      "       0.03607861]), array([0.18744251, 0.24526079, 0.05403348, 0.17879674, 0.11522518,\n",
      "       0.2192413 ]))\n",
      "(array([0.18083933, 0.09776296, 0.18103787, 0.22468261, 0.14200065,\n",
      "       0.17367657]), array([0.17701835, 0.19045047, 0.0974043 , 0.18484262, 0.13395239,\n",
      "       0.21633187]))\n",
      "(array([0.18470859, 0.28932607, 0.1539742 , 0.15981531, 0.06412256,\n",
      "       0.14805326]), array([0.18127279, 0.27870755, 0.1155615 , 0.15862743, 0.08520656,\n",
      "       0.18062418]))\n",
      "(array([0.1602326 , 0.24332802, 0.06117519, 0.16857963, 0.13995038,\n",
      "       0.22673418]), array([0.10535983, 0.18961315, 0.15452516, 0.21693808, 0.18600347,\n",
      "       0.14756031]))\n",
      "(array([0.21965151, 0.14726864, 0.12630963, 0.20713925, 0.14691887,\n",
      "       0.1527121 ]), array([0.22672601, 0.13015084, 0.14018725, 0.2150794 , 0.14984213,\n",
      "       0.13801437]))\n",
      "(array([0.17583052, 0.25135959, 0.04215676, 0.16119239, 0.1354959 ,\n",
      "       0.23396484]), array([0.19002357, 0.19934749, 0.08646386, 0.20659204, 0.20223137,\n",
      "       0.11534167]))\n",
      "(array([0.12032305, 0.20517694, 0.13263937, 0.1805749 , 0.10526097,\n",
      "       0.25602477]), array([0.15218475, 0.23582514, 0.07632775, 0.16618344, 0.11878938,\n",
      "       0.25068955]))\n",
      "(array([0.06763691, 0.30189549, 0.10840587, 0.04498186, 0.35388453,\n",
      "       0.12319533]), array([0.16146118, 0.26245617, 0.04583478, 0.14284477, 0.15528444,\n",
      "       0.23211866]))\n",
      "(array([0.14601043, 0.20817878, 0.10536612, 0.13866588, 0.13522598,\n",
      "       0.26655281]), array([0.10538231, 0.13789226, 0.20322891, 0.11344919, 0.14537299,\n",
      "       0.29467435]))\n",
      "(array([0.26673286, 0.20845601, 0.00627466, 0.08984156, 0.28397092,\n",
      "       0.14472399]), array([0.17631689, 0.25599592, 0.03660533, 0.15473919, 0.13161342,\n",
      "       0.24472925]))\n",
      "(array([0.21568855, 0.22825504, 0.1748974 , 0.06428374, 0.08428729,\n",
      "       0.23258798]), array([0.1931337 , 0.24394784, 0.09995922, 0.11434373, 0.10818382,\n",
      "       0.24043168]))\n",
      "(array([0.05501031, 0.13908252, 0.03210767, 0.28684957, 0.21723172,\n",
      "       0.2697182 ]), array([0.12403595, 0.20737136, 0.03510784, 0.21123692, 0.16568363,\n",
      "       0.2565643 ]))\n",
      "(array([0.17404353, 0.2563141 , 0.03755736, 0.15617598, 0.12958   ,\n",
      "       0.24632902]), array([0.13627116, 0.13113393, 0.08154973, 0.15105096, 0.36313732,\n",
      "       0.1368569 ]))\n",
      "(array([0.15045909, 0.15003248, 0.0267704 , 0.28376044, 0.21238841,\n",
      "       0.17658918]), array([0.16119808, 0.19830416, 0.03151506, 0.2262371 , 0.17440697,\n",
      "       0.20833862]))\n",
      "(array([0.12674719, 0.26713608, 0.09571585, 0.14948417, 0.14734541,\n",
      "       0.2135713 ]), array([0.06858141, 0.27945462, 0.16722192, 0.14125609, 0.17081727,\n",
      "       0.17266869]))\n",
      "(array([0.1613037 , 0.17635383, 0.09895252, 0.2326127 , 0.1762879 ,\n",
      "       0.15448934]), array([0.15345021, 0.12747204, 0.13629409, 0.27888344, 0.20542921,\n",
      "       0.098471  ]))\n",
      "(array([0.15667597, 0.22962875, 0.04414515, 0.20854602, 0.12466856,\n",
      "       0.23633556]), array([0.06255092, 0.08283313, 0.08080789, 0.48851965, 0.10595159,\n",
      "       0.17933683]))\n",
      "(array([0.14445487, 0.26488994, 0.06567773, 0.13808714, 0.17907399,\n",
      "       0.20781632]), array([0.10999601, 0.27392596, 0.0984832 , 0.1171465 , 0.23790528,\n",
      "       0.16254305]))\n",
      "(array([0.1327751 , 0.21358804, 0.09805345, 0.14418383, 0.16650425,\n",
      "       0.24489532]), array([0.09671081, 0.17579754, 0.15086091, 0.1337347 , 0.19982209,\n",
      "       0.24307395]))\n",
      "(array([0.20437965, 0.23343571, 0.05329941, 0.12803031, 0.17930452,\n",
      "       0.20155041]), array([0.2698337 , 0.18205235, 0.08810096, 0.06677429, 0.29047616,\n",
      "       0.10276253]))\n",
      "(array([0.2881131 , 0.30071314, 0.03791175, 0.23829   , 0.04797797,\n",
      "       0.08699403]), array([0.21414403, 0.27235644, 0.03750862, 0.18495599, 0.10008171,\n",
      "       0.19095321]))\n",
      "(array([0.16803015, 0.22611827, 0.07914862, 0.17388013, 0.12507321,\n",
      "       0.22774962]), array([0.15520049, 0.1624965 , 0.16518382, 0.21020626, 0.11871293,\n",
      "       0.18819999]))\n",
      "(array([0.18051691, 0.21594849, 0.08770629, 0.13333227, 0.15240665,\n",
      "       0.23008939]), array([0.20625025, 0.04649602, 0.29544934, 0.03907332, 0.25228773,\n",
      "       0.16044334]))\n",
      "(array([0.22545385, 0.18697629, 0.08413022, 0.13613974, 0.18263644,\n",
      "       0.18466346]), array([0.27425686, 0.12013938, 0.12879212, 0.11700519, 0.23457366,\n",
      "       0.12523278]))\n",
      "(array([0.19803354, 0.26813561, 0.07741886, 0.11101149, 0.07808586,\n",
      "       0.26731464]), array([0.19155439, 0.26511862, 0.06647714, 0.1233351 , 0.09174181,\n",
      "       0.26177294]))\n",
      "(array([0.18325132, 0.21495487, 0.09005574, 0.1599543 , 0.16457167,\n",
      "       0.1872121 ]), array([0.19374307, 0.16574499, 0.15170725, 0.16433278, 0.20710731,\n",
      "       0.1173646 ]))\n",
      "(array([0.14143105, 0.26764294, 0.01934258, 0.21742284, 0.09763317,\n",
      "       0.25652742]), array([0.15142476, 0.26442586, 0.0248045 , 0.19879444, 0.106925  ,\n",
      "       0.25362544]))\n",
      "(array([0.17427196, 0.25707112, 0.03729132, 0.15620698, 0.12816757,\n",
      "       0.24699106]), array([0.17427196, 0.25707112, 0.03729132, 0.15620698, 0.12816757,\n",
      "       0.24699106]))\n",
      "(array([0.18570529, 0.2452529 , 0.05672773, 0.1570384 , 0.11531902,\n",
      "       0.23995666]), array([0.27397085, 0.15401595, 0.20677724, 0.163457  , 0.01612798,\n",
      "       0.18565099]))\n",
      "(array([0.15281902, 0.05786402, 0.057779  , 0.30492789, 0.39565047,\n",
      "       0.0309596 ]), array([0.27812834, 0.13756976, 0.2169705 , 0.17200626, 0.02481149,\n",
      "       0.17051365]))\n",
      "(array([0.28648422, 0.14890516, 0.20355135, 0.25820491, 0.01012736,\n",
      "       0.09272701]), array([0.28646546, 0.14878869, 0.20394487, 0.25657409, 0.01000845,\n",
      "       0.09421845]))\n",
      "(array([0.21086398, 0.06089523, 0.23714902, 0.22946622, 0.10907076,\n",
      "       0.15255479]), array([0.25812594, 0.11244479, 0.23021549, 0.18814046, 0.04199414,\n",
      "       0.16907919]))\n",
      "(array([0.24874741, 0.20822459, 0.22857309, 0.16348534, 0.01027556,\n",
      "       0.140694  ]), array([0.22836619, 0.24493563, 0.22988494, 0.16303884, 0.01416542,\n",
      "       0.11960898]))\n",
      "(array([0.13241101, 0.16874109, 0.18853001, 0.2155445 , 0.15660616,\n",
      "       0.13816723]), array([0.24431364, 0.14932668, 0.21609267, 0.17805465, 0.04445956,\n",
      "       0.1677528 ]))\n",
      "(array([0.27695527, 0.06478407, 0.22811448, 0.22891549, 0.10830715,\n",
      "       0.09292354]), array([0.28055448, 0.09776201, 0.22730474, 0.20138459, 0.06356572,\n",
      "       0.12942847]))\n",
      "(array([0.26506045, 0.15335123, 0.19696625, 0.17454225, 0.04800783,\n",
      "       0.16207198]), array([0.21192586, 0.18248244, 0.1205767 , 0.20132362, 0.1648313 ,\n",
      "       0.11886007]))\n",
      "(array([0.17679228, 0.16641509, 0.19456589, 0.17952854, 0.05701622,\n",
      "       0.22568197]), array([0.20684774, 0.15971358, 0.20332357, 0.17531124, 0.04214599,\n",
      "       0.21265788]))\n",
      "(array([0.22039932, 0.18873809, 0.19540971, 0.12688626, 0.10976731,\n",
      "       0.15879931]), array([0.11983101, 0.26074017, 0.14775328, 0.0690218 , 0.27451353,\n",
      "       0.12814021]))\n",
      "(array([0.15770578, 0.10958219, 0.25385834, 0.12236449, 0.09472439,\n",
      "       0.26176482]), array([0.20481919, 0.12161545, 0.24365903, 0.13783202, 0.06098643,\n",
      "       0.23108788]))\n",
      "(array([0.27716224, 0.17450991, 0.11684669, 0.12665645, 0.14413038,\n",
      "       0.16069434]), array([0.27701973, 0.17506861, 0.11495563, 0.12600575, 0.14656583,\n",
      "       0.16038444]))\n",
      "(array([0.28397319, 0.14425004, 0.22653308, 0.16029634, 0.00499661,\n",
      "       0.17995074]), array([0.23598129, 0.21307944, 0.23724588, 0.02641257, 0.06258637,\n",
      "       0.22469446]))\n",
      "(array([0.14386398, 0.11555964, 0.1272119 , 0.25385935, 0.13011155,\n",
      "       0.22939358]), array([0.14631451, 0.11602083, 0.12892595, 0.25230858, 0.12791566,\n",
      "       0.22851446]))\n",
      "(array([0.28214253, 0.14193958, 0.22306038, 0.16399867, 0.01116862,\n",
      "       0.17769022]), array([0.13930439, 0.13063504, 0.08496904, 0.15130972, 0.35666057,\n",
      "       0.13712124]))\n",
      "(array([0.20326478, 0.11393417, 0.11233224, 0.26944787, 0.1449786 ,\n",
      "       0.15604233]), array([0.21952462, 0.11952906, 0.13487555, 0.24863111, 0.11692864,\n",
      "       0.160511  ]))\n",
      "(array([0.13248348, 0.22742099, 0.22588553, 0.14707556, 0.11129138,\n",
      "       0.15584305]), array([0.17397734, 0.20429631, 0.22597457, 0.15174614, 0.08198316,\n",
      "       0.16202248]))\n",
      "(array([0.20447211, 0.08889743, 0.21043272, 0.27095312, 0.14304322,\n",
      "       0.0822014 ]), array([0.22141403, 0.10005505, 0.21373622, 0.24862446, 0.11378576,\n",
      "       0.10238448]))\n",
      "(array([0.056254  , 0.05946994, 0.09417248, 0.52316309, 0.09779229,\n",
      "       0.1691482 ]), array([0.27410511, 0.13811853, 0.21970289, 0.18198402, 0.00793972,\n",
      "       0.17814972]))\n",
      "(array([0.2045919 , 0.19714767, 0.18709459, 0.13859006, 0.1157145 ,\n",
      "       0.15686128]), array([0.16099122, 0.22679483, 0.16598867, 0.12472502, 0.17637663,\n",
      "       0.14512362]))\n",
      "(array([0.21466825, 0.13916066, 0.22173006, 0.15120483, 0.07545629,\n",
      "       0.19777991]), array([0.12594988, 0.13535152, 0.21610665, 0.13479514, 0.16598191,\n",
      "       0.2218149 ]))\n",
      "(array([0.28803496, 0.14513289, 0.20411655, 0.14154232, 0.06450723,\n",
      "       0.15666605]), array([0.29731061, 0.15548176, 0.12620616, 0.06134372, 0.28038531,\n",
      "       0.07927243]))\n",
      "(array([0.29722093, 0.19042953, 0.1740179 , 0.19280295, 0.00788965,\n",
      "       0.13763904]), array([0.31616844, 0.26776664, 0.09032481, 0.23852448, 0.01528189,\n",
      "       0.07193374]))\n",
      "(array([0.2089394 , 0.13622712, 0.21546927, 0.19992515, 0.06623488,\n",
      "       0.17320418]), array([0.22542348, 0.13751425, 0.21778551, 0.19224268, 0.05266311,\n",
      "       0.17437097]))\n",
      "(array([0.21408785, 0.00836223, 0.34325062, 0.01943354, 0.2705579 ,\n",
      "       0.14430786]), array([0.28381153, 0.13920888, 0.22882735, 0.16105349, 0.00924835,\n",
      "       0.17785041]))\n",
      "(array([0.31159627, 0.08190772, 0.19312063, 0.12022526, 0.19023618,\n",
      "       0.10291393]), array([0.29924666, 0.11033455, 0.20872404, 0.14100111, 0.10208578,\n",
      "       0.13860786]))\n",
      "(array([0.26100889, 0.18883343, 0.18458189, 0.13430298, 0.01663842,\n",
      "       0.2146344 ]), array([0.23971126, 0.22954741, 0.14823645, 0.10812505, 0.02830111,\n",
      "       0.24607872]))\n",
      "(array([0.24372732, 0.13283777, 0.21525431, 0.16619967, 0.12437164,\n",
      "       0.1176093 ]), array([0.24439929, 0.13298869, 0.21543101, 0.16616885, 0.12241921,\n",
      "       0.11859295]))\n",
      "(array([0.210105  , 0.20214082, 0.12720013, 0.20749526, 0.03628027,\n",
      "       0.21677852]), array([0.19388303, 0.21505458, 0.10586929, 0.21680346, 0.04338976,\n",
      "       0.22499988]))\n",
      "(array([0.21062353, 0.21949581, 0.09908818, 0.15885043, 0.08731641,\n",
      "       0.22462564]), array([0.24905262, 0.17977304, 0.16441679, 0.16164496, 0.04413058,\n",
      "       0.20098202]))\n",
      "(array([0.28540418, 0.14219772, 0.22621365, 0.16428842, 0.00327943,\n",
      "       0.1786166 ]), array([0.28540418, 0.14219772, 0.22621365, 0.16428842, 0.00327943,\n",
      "       0.1786166 ]))\n"
     ]
    }
   ],
   "source": [
    "for i in population[:30]:\n",
    "    for j in population[:30]:\n",
    "        print(Arithmetic_crossover(i,j))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Arithmetic_crossover(parent1,parent2):\n",
    "    ''' The oﬀsprings are created according to the equation:\n",
    "            Off spring A = α ∗ Parent1 + (1 −α) ∗ Parent2\n",
    "            Off spring B = (1 −α) ∗ Parent1 + α ∗ Parent2\n",
    "            \n",
    "                Where α is a random number between 0 and 1.\n",
    "        Input: 2 Parents\n",
    "        Output: 2 Children (1d Array)'''\n",
    "    alpha = np.random.rand()\n",
    "    child1 = alpha * parent1 + (1-alpha) * parent2\n",
    "    child2 = (1-alpha) * parent1 + alpha * parent2\n",
    "    return child1,child2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.13139653, 0.11284077, 0.17259212, 0.24228214, 0.2591194 ,\n",
       "        0.08176905]),\n",
       " array([0.13211776, 0.11807491, 0.17223741, 0.21086049, 0.25753075,\n",
       "        0.10917868]))"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Arithmetic_crossover(population[2],population[3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task#10:\n",
    "**Next Generation**: A function which does mutation,mating or crossover based on a probability and builds a new generation of chromosomes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "def next_generation(pop_size,elite,crossover=Heuristic_crossover):\n",
    "    ''' Generates new population from elite population with mutation probability as 0.4 and crossover as 0.6. \n",
    "        Over the final stages, mutation probability is decreased to 0.1.\n",
    "        Input: Population Size and elite population.\n",
    "        Output: Next generation population (2D Array).'''\n",
    "    new_population=[]\n",
    "    elite_range=range(len(elite))\n",
    "#     print(elite_range)\n",
    "    while len(new_population) < pop_size:\n",
    "        if len(new_population) > 2*pop_size/3: # In the final stages mutation frequency is decreased.\n",
    "            mutate_or_crossover = np.random.choice([0, 1], p=[0.9, 0.1])\n",
    "        else:\n",
    "            mutate_or_crossover = np.random.choice([0, 1], p=[0.4, 0.6])\n",
    "#         print(mutate_or_crossover)\n",
    "        if mutate_or_crossover:\n",
    "            indx=np.random.choice(elite_range)\n",
    "            new_population.append(mutation(elite[indx]))\n",
    "        else:\n",
    "            p1_idx,p2_idx=np.random.choice(elite_range,2)\n",
    "            c1,c2=crossover(elite[p1_idx],elite[p2_idx])\n",
    "            chk=0\n",
    "            for gene in range(6):\n",
    "                if c1[gene]<0:\n",
    "                    chk+=1\n",
    "                else:\n",
    "                    chk+=0\n",
    "            if sum(chk)>0:\n",
    "                p1_idx,p2_idx=np.random.choice(elite_range,2)\n",
    "                c1,c2=crossover(elite[p1_idx],elite[p2_idx])\n",
    "            new_population.extend([c1,c2])\n",
    "    return new_population"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([ 0.09437892, -0.01370747,  0.22206274,  0.25272078,  0.07117298,\n",
       "         0.37337204]),\n",
       " array([0.073464  , 0.29611467, 0.18044526, 0.04717225, 0.15122987,\n",
       "        0.25157395]),\n",
       " array([0.02673085, 0.10270371, 0.18426066, 0.26773308, 0.14581252,\n",
       "        0.27275918])]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "elite=Select_elite_population(population)\n",
    "next_generation(100,elite)[:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([0.08867454, 0.04535518, 0.23082464, 0.20133852, 0.0940633 ,\n",
       "        0.33974382]),\n",
       " array([0.08696143, 0.03944916, 0.2521492 , 0.19025681, 0.10191857,\n",
       "        0.32926483]),\n",
       " array([0.07197337, 0.26818012, 0.15645521, 0.11225894, 0.16966041,\n",
       "        0.22147195])]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "elite=Select_elite_population(population)\n",
    "next_generation(100,elite,Arithmetic_crossover)[:3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task #11:\n",
    "**Iterate the process**: Iterate the whole process till their is no change in maximum returns/min risk or for fixed number of iterations. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### With Heuristic_crossover:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 528,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 0\n",
      "Expected returns of 0.19791260054505444 with risk of 0.0005599724194694641\n",
      "\n",
      "Iteration: 1\n",
      "Expected returns of 0.14775559319668513 with risk of 0.00011502210065133991\n",
      "\n",
      "Iteration: 2\n",
      "Expected returns of 0.18044974977915618 with risk of 0.0001792561337124951\n",
      "\n",
      "Iteration: 3\n",
      "Expected returns of 0.2469869391434918 with risk of 0.0004702512459861894\n",
      "\n",
      "Iteration: 4\n",
      "Expected returns of 0.2484463536957734 with risk of 0.0004769430337559274\n",
      "\n",
      "Iteration: 5\n",
      "Expected returns of 0.22970948049369214 with risk of 0.000449272216911158\n",
      "\n",
      "Iteration: 6\n",
      "Expected returns of 0.21407127171197168 with risk of 0.000335974853370535\n",
      "\n",
      "Iteration: 7\n",
      "Expected returns of 0.1586974101345943 with risk of 5.695056486200965e-05\n",
      "\n",
      "Iteration: 8\n",
      "Expected returns of 0.23851853089246866 with risk of 0.000497856800164051\n",
      "\n",
      "Iteration: 9\n",
      "Expected returns of 0.22633872214618578 with risk of 0.0003618425140521006\n",
      "\n",
      "Iteration: 10\n",
      "Expected returns of 0.2260552603649895 with risk of 0.00034635825024487144\n",
      "\n",
      "Iteration: 11\n",
      "Expected returns of 0.2899127952221515 with risk of 0.0007826819130988885\n",
      "\n",
      "Iteration: 12\n",
      "Expected returns of 0.25490676753427954 with risk of 0.0005633178549502953\n",
      "\n",
      "Iteration: 13\n",
      "Expected returns of 0.29369786789830177 with risk of 0.0008190351291653859\n",
      "\n",
      "Iteration: 14\n",
      "Expected returns of 0.2764222153513662 with risk of 0.0006688436495931767\n",
      "\n",
      "Iteration: 15\n",
      "Expected returns of 0.25227249209476 with risk of 0.0004706475924514224\n",
      "\n",
      "Iteration: 16\n",
      "Expected returns of 0.2381957381010633 with risk of 0.0003827502907570446\n",
      "\n",
      "Iteration: 17\n",
      "Expected returns of 0.2002932095464216 with risk of 0.00021453406069680062\n",
      "\n",
      "Iteration: 18\n",
      "Expected returns of 0.19828541670663896 with risk of 0.00019009993069301137\n",
      "\n",
      "Iteration: 19\n",
      "Expected returns of 0.1681413400108308 with risk of 0.00011618020440140597\n",
      "\n",
      "Iteration: 20\n",
      "Expected returns of 0.17909062517066773 with risk of 0.00014502585433318928\n",
      "\n",
      "Iteration: 21\n",
      "Expected returns of 0.19030137020637758 with risk of 0.0001681750950092882\n",
      "\n",
      "Iteration: 22\n",
      "Expected returns of 0.21432300280338248 with risk of 0.0002694726100266609\n",
      "\n",
      "Iteration: 23\n",
      "Expected returns of 0.21070580611829295 with risk of 0.0002475011315666263\n",
      "\n",
      "Iteration: 24\n",
      "Expected returns of 0.18577215114066054 with risk of 0.000164355783510442\n",
      "\n",
      "Iteration: 25\n",
      "Expected returns of 0.16477036393006245 with risk of 0.00010130159938354782\n",
      "\n",
      "Iteration: 26\n",
      "Expected returns of 0.19101622027596704 with risk of 0.0001670840033457209\n",
      "\n",
      "Iteration: 27\n",
      "Expected returns of 0.18365982620771543 with risk of 0.00014107786315718102\n",
      "\n",
      "Iteration: 28\n",
      "Expected returns of 0.17969275309636218 with risk of 0.00013292989973720873\n",
      "\n",
      "Iteration: 29\n",
      "Expected returns of 0.1888992228256685 with risk of 0.00016301395713516284\n",
      "\n",
      "Iteration: 30\n",
      "Expected returns of 0.17615432560270755 with risk of 0.00013564390495914708\n",
      "\n",
      "Iteration: 31\n",
      "Expected returns of 0.20775200263249857 with risk of 0.00024854095885265895\n",
      "\n",
      "Iteration: 32\n",
      "Expected returns of 0.1973940698853068 with risk of 0.00020083201908290688\n",
      "\n",
      "Iteration: 33\n",
      "Expected returns of 0.19876276588276462 with risk of 0.0002029845044874308\n",
      "\n",
      "Iteration: 34\n",
      "Expected returns of 0.19594671859386392 with risk of 0.00019382477294731595\n",
      "\n",
      "Iteration: 35\n",
      "Expected returns of 0.17946232721495461 with risk of 0.0001496672703822869\n",
      "\n",
      "Iteration: 36\n",
      "Expected returns of 0.17030672936261124 with risk of 0.00011959499671636807\n",
      "\n",
      "Iteration: 37\n",
      "Expected returns of 0.1644754999950763 with risk of 0.00010629263198832367\n",
      "\n",
      "Iteration: 38\n",
      "Expected returns of 0.1644754999950763 with risk of 0.00010629263198832367\n",
      "\n",
      "Iteration: 39\n",
      "Expected returns of 0.1529079870700481 with risk of 5.5260299056216974e-05\n",
      "\n",
      "Iteration: 40\n",
      "Expected returns of 0.22786637759466302 with risk of 0.0003457185180590523\n",
      "\n",
      "Portfolio of stocks after all the iterations:\n",
      "\n",
      "hdfc : -0.12831416862824624\n",
      "itc : 0.5004863932832381\n",
      "l&t : 0.005806138626803911\n",
      "m&m : -0.2799114848675405\n",
      "sunpha : 0.07911835804614265\n",
      "tcs : 0.822814763539606\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[None, None, None, None, None, None]"
      ]
     },
     "execution_count": 528,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n=6 # Number of stocks = 6\n",
    "pop_size=100 # initial population = 100\n",
    "\n",
    "# Initial population\n",
    "population = np.array([chromosome(n) for _ in range(pop_size)])\n",
    "\n",
    "# Get initial elite population\n",
    "elite = Select_elite_population(population)\n",
    "\n",
    "iteration=0 \n",
    "Expected_returns=0\n",
    "Expected_risk=1\n",
    "\n",
    "while (Expected_returns < 0.30 and Expected_risk > 0.0005) or iteration <= 40:\n",
    "    print('Iteration:',iteration)\n",
    "    population = next_generation(100,elite)\n",
    "    elite = Select_elite_population(population)\n",
    "    Expected_returns=mean_portfolio_return(elite[0])\n",
    "    Expected_risk=var_portfolio_return(elite[0])\n",
    "    print('Expected returns of {} with risk of {}\\n'.format(Expected_returns,Expected_risk))\n",
    "    iteration+=1\n",
    "\n",
    "\n",
    "print('Portfolio of stocks after all the iterations:\\n')\n",
    "[print(hist_stock_returns.columns[i],':',elite[0][i]) for i in list(range(6))]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Weights and their respective returns:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 531,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Portfolio of stocks after all the iterations:\n",
      "\n",
      "hdfc : -0.12831416862824624\n",
      "itc : 0.5004863932832381\n",
      "l&t : 0.005806138626803911\n",
      "m&m : -0.2799114848675405\n",
      "sunpha : 0.07911835804614265\n",
      "tcs : 0.822814763539606\n",
      "\n",
      "Expected returns of 0.22960077055291656 with risk of 0.00035861319099093555\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print('Portfolio of stocks after all the iterations:\\n')\n",
    "[print(hist_stock_returns.columns[i],':',elite[0][i]) for i in list(range(6))]\n",
    "\n",
    "print('\\nExpected returns of {} with risk of {}\\n'.format(Expected_returns,Expected_risk))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although heuristic method works well, it gives negative returns which is not expected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 537,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.383262199916318"
      ]
     },
     "execution_count": 537,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fitness_fuction(elite[5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## BEST Approach using Arithmetic_crossover:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 0\n",
      "Expected returns of 0.1347100807182474 with risk of 0.0003289719237192859\n",
      "\n",
      "Iteration: 1\n",
      "Expected returns of 0.1385422319534627 with risk of 0.0002846355089227608\n",
      "\n",
      "Iteration: 2\n",
      "Expected returns of 0.14961316235397137 with risk of 0.00032095904516944804\n",
      "\n",
      "Iteration: 3\n",
      "Expected returns of 0.14910269061417047 with risk of 0.00030940879721631526\n",
      "\n",
      "Iteration: 4\n",
      "Expected returns of 0.14832159577473447 with risk of 0.0003042478278929327\n",
      "\n",
      "Iteration: 5\n",
      "Expected returns of 0.14956658063244427 with risk of 0.0003139437692639777\n",
      "\n",
      "Iteration: 6\n",
      "Expected returns of 0.14575560446725683 with risk of 0.0002726046486622828\n",
      "\n",
      "Iteration: 7\n",
      "Expected returns of 0.1476922703328571 with risk of 0.0002848789044769184\n",
      "\n",
      "Iteration: 8\n",
      "Expected returns of 0.14656215432044567 with risk of 0.000274220685405638\n",
      "\n",
      "Iteration: 9\n",
      "Expected returns of 0.14424628731711825 with risk of 0.00025692507378476115\n",
      "\n",
      "Iteration: 10\n",
      "Expected returns of 0.14388902685297023 with risk of 0.00025453437522572446\n",
      "\n",
      "Iteration: 11\n",
      "Expected returns of 0.14475494763053234 with risk of 0.000260685047163302\n",
      "\n",
      "Iteration: 12\n",
      "Expected returns of 0.1447396839117547 with risk of 0.0002605750534716714\n",
      "\n",
      "Iteration: 13\n",
      "Expected returns of 0.14447655515820435 with risk of 0.00025875150750970764\n",
      "\n",
      "Iteration: 14\n",
      "Expected returns of 0.1445014066416875 with risk of 0.00025894929185005765\n",
      "\n",
      "Iteration: 15\n",
      "Expected returns of 0.1444938281223257 with risk of 0.00025889919672958134\n",
      "\n",
      "Iteration: 16\n",
      "Expected returns of 0.14453239195376003 with risk of 0.0002591899947783482\n",
      "\n",
      "Iteration: 17\n",
      "Expected returns of 0.14449439053193308 with risk of 0.0002589533248571465\n",
      "\n",
      "Iteration: 18\n",
      "Expected returns of 0.1444974564938083 with risk of 0.000258981465055352\n",
      "\n",
      "Iteration: 19\n",
      "Expected returns of 0.14452136998887066 with risk of 0.00025915384472701645\n",
      "\n",
      "Iteration: 20\n",
      "Expected returns of 0.1445251464177868 with risk of 0.00025918155245569733\n",
      "\n",
      "Iteration: 21\n",
      "Expected returns of 0.14452666118422758 with risk of 0.00025919227618459873\n",
      "\n",
      "Iteration: 22\n",
      "Expected returns of 0.1445301140729686 with risk of 0.00025921715111995765\n",
      "\n",
      "Iteration: 23\n",
      "Expected returns of 0.14453042215863685 with risk of 0.00025921946627107274\n",
      "\n",
      "Iteration: 24\n",
      "Expected returns of 0.14453023066114093 with risk of 0.00025921830343000017\n",
      "\n",
      "Iteration: 25\n",
      "Expected returns of 0.14453009944771755 with risk of 0.0002592175455466911\n",
      "\n",
      "Iteration: 26\n",
      "Expected returns of 0.14453014557329283 with risk of 0.00025921791999193675\n",
      "\n",
      "Iteration: 27\n",
      "Expected returns of 0.14453017428598547 with risk of 0.00025921812682256924\n",
      "\n",
      "Iteration: 28\n",
      "Expected returns of 0.144530165964972 with risk of 0.0002592181643151902\n",
      "\n",
      "Iteration: 29\n",
      "Expected returns of 0.14453015745146208 with risk of 0.00025921810911253267\n",
      "\n",
      "Iteration: 30\n",
      "Expected returns of 0.14453011513002012 with risk of 0.00025921782652030007\n",
      "\n",
      "Iteration: 31\n",
      "Expected returns of 0.14453011671702085 with risk of 0.00025921783855761566\n",
      "\n",
      "Iteration: 32\n",
      "Expected returns of 0.14453011747074448 with risk of 0.00025921784455665547\n",
      "\n",
      "Iteration: 33\n",
      "Expected returns of 0.14453015965168456 with risk of 0.0002592181393722649\n",
      "\n",
      "Iteration: 34\n",
      "Expected returns of 0.14453015976922165 with risk of 0.0002592181402486923\n",
      "\n",
      "Iteration: 35\n",
      "Expected returns of 0.14453014865648053 with risk of 0.00025921806348661123\n",
      "\n",
      "Iteration: 36\n",
      "Expected returns of 0.14453015717683376 with risk of 0.0002592181227898029\n",
      "\n",
      "Iteration: 37\n",
      "Expected returns of 0.14453015605434533 with risk of 0.0002592181150800092\n",
      "\n",
      "Iteration: 38\n",
      "Expected returns of 0.14453015604845082 with risk of 0.00025921811503955023\n",
      "\n",
      "Iteration: 39\n",
      "Expected returns of 0.14453015600465616 with risk of 0.0002592181147379408\n",
      "\n",
      "Iteration: 40\n",
      "Expected returns of 0.14453015567745017 with risk of 0.0002592181124772639\n",
      "\n",
      "Portfolio of stocks after all the iterations:\n",
      "\n",
      "hdfc : 0.03338912374928946\n",
      "itc : 0.25892793802773834\n",
      "l&t : 0.08571133727686643\n",
      "m&m : 0.06183100580231876\n",
      "sunpha : 0.27661979411361814\n",
      "tcs : 0.28352080103016897\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[None, None, None, None, None, None]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n=6 # Number of stocks = 6\n",
    "pop_size=100 # initial population = 100\n",
    "\n",
    "# Initial population\n",
    "population = np.array([chromosome(n) for _ in range(pop_size)])\n",
    "\n",
    "# Get initial elite population\n",
    "elite = Select_elite_population(population)\n",
    "\n",
    "iteration=0 \n",
    "Expected_returns=0\n",
    "Expected_risk=1\n",
    "\n",
    "while (Expected_returns < 0.30 and Expected_risk > 0.0005) or iteration <= 40:\n",
    "    print('Iteration:',iteration)\n",
    "    population = next_generation(100,elite,Arithmetic_crossover)\n",
    "    elite = Select_elite_population(population)\n",
    "    Expected_returns=mean_portfolio_return(elite[0])\n",
    "    Expected_risk=var_portfolio_return(elite[0])\n",
    "    print('Expected returns of {} with risk of {}\\n'.format(Expected_returns,Expected_risk))\n",
    "    iteration+=1\n",
    "\n",
    "\n",
    "print('Portfolio of stocks after all the iterations:\\n')\n",
    "[print(hist_stock_returns.columns[i],':',elite[0][i]) for i in list(range(6))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Portfolio of stocks after all the iterations:\n",
      "\n",
      "hdfc : 0.03338912374928946\n",
      "itc : 0.25892793802773834\n",
      "l&t : 0.08571133727686643\n",
      "m&m : 0.06183100580231876\n",
      "sunpha : 0.27661979411361814\n",
      "tcs : 0.28352080103016897\n",
      "\n",
      "Expected returns of 0.14453015567745017 with risk of 0.0002592181124772639\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print('Portfolio of stocks after all the iterations:\\n')\n",
    "[print(hist_stock_returns.columns[i],':',elite[0][i]) for i in list(range(6))]\n",
    "\n",
    "print('\\nExpected returns of {} with risk of {}\\n'.format(Expected_returns,Expected_risk))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}