RL_5.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ff0ad8e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9c02b6b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a6b3381c",
   "metadata": {},
   "outputs": [],
   "source": [
    "#1000 random integers between  0 and 5\n",
    "x=np.random.randint(0,50,1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6884cd8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([43, 43, 10, 34, 33, 11,  2, 10, 27,  5, 26,  3, 31, 11,  3,  1, 13,\n",
       "       17,  8, 38,  4,  6, 12,  9,  5, 15, 20, 31, 26,  7, 43,  2, 32, 46,\n",
       "       11, 18, 44,  0, 37, 47,  9, 26, 20, 15,  1,  5,  2, 25, 28, 19, 43,\n",
       "       17,  5, 45, 15, 10, 29, 17, 17, 46,  7, 17, 22,  0,  7, 29, 28, 35,\n",
       "       43, 34, 40,  5, 28, 41, 34, 34, 19, 13, 37, 25,  4, 43, 11, 29, 12,\n",
       "       25, 32, 40, 42, 23, 25, 43, 40, 24, 31, 28,  0, 22, 24, 22, 10, 43,\n",
       "       31,  9, 39,  6, 30,  3, 18, 12,  9, 10, 27,  1, 21, 42,  6,  9, 36,\n",
       "       23,  8, 23, 18, 42, 21,  3, 14, 20, 43, 21,  9, 42,  2, 20, 43, 16,\n",
       "       13, 42, 35, 11, 28, 42, 21, 34, 44, 42, 28, 18,  8, 30,  0, 13, 18,\n",
       "       38, 11, 19, 12,  4, 45, 25, 40, 35,  5, 31, 29,  2, 32,  7, 29,  8,\n",
       "       27, 33, 29,  4, 38, 33,  9,  3, 14, 20, 35, 28, 45, 28,  4, 15, 11,\n",
       "       31, 36, 12, 38, 19, 16, 47, 36, 10,  6, 26, 36, 30, 35,  0, 38, 18,\n",
       "       31, 41, 31, 48, 42, 49, 22,  0,  6, 45, 32, 27,  0, 26, 20, 26,  1,\n",
       "       37, 13, 40, 18, 18, 38, 49, 38, 23,  4,  5, 23,  2, 19, 36, 17, 21,\n",
       "       13, 42, 26, 49, 32,  8,  8, 20, 46,  4, 18, 21, 39, 29, 10, 25, 23,\n",
       "       30, 26, 13, 11, 42, 10, 24, 24, 47,  4, 43, 27, 13,  6,  2,  3, 29,\n",
       "       42,  4, 28, 35, 37, 18, 38, 13, 46, 14, 41,  6, 27, 16, 20, 23, 35,\n",
       "        7,  6, 21,  0, 26,  9, 41, 28,  3, 21, 47, 33,  7,  8, 39, 33, 39,\n",
       "       35,  7, 41, 27, 40,  7, 36, 45, 30,  9, 47, 24, 46, 21,  0, 19, 19,\n",
       "       21, 27, 33, 40, 46, 42, 21, 30, 47, 18,  3, 35, 31, 29, 39, 22, 10,\n",
       "       42,  8, 31, 12, 18,  7, 23,  8, 23, 46, 34, 30,  3, 48, 42,  4, 48,\n",
       "       15, 24, 30, 42, 26, 34, 45, 47, 23, 40, 35, 16, 23, 47, 26, 14, 23,\n",
       "       24, 49, 24, 15,  3,  9, 46, 20,  2, 30, 12, 25,  0, 33, 34, 13, 11,\n",
       "       26, 24, 43, 41, 47, 13, 40, 31, 38, 15, 25, 41, 31, 46, 33, 38, 28,\n",
       "       43, 20, 14,  9, 42,  3, 17, 15,  3, 47,  6, 42,  5, 20, 13, 24, 46,\n",
       "       15, 36, 16,  9, 19, 24, 18, 14,  6, 27, 23,  5,  4, 23, 46, 39,  2,\n",
       "       13, 42, 26, 24, 17, 23,  1, 45, 21, 47, 17, 33, 43, 11, 34,  2, 32,\n",
       "       26, 19, 26, 26,  7, 35, 31, 15, 28, 12, 46, 23,  6,  5, 28, 34, 23,\n",
       "       21, 10, 15, 14, 23,  1, 20, 11, 12, 47, 26, 18, 45,  1, 28, 23, 38,\n",
       "       20, 33, 46, 30,  0, 14, 33, 44, 16,  0, 45, 45, 30, 18, 36, 10, 45,\n",
       "       24, 14, 39, 35, 33, 42,  0,  5, 26, 12, 49, 42, 20, 46, 24,  4, 18,\n",
       "       28, 49, 19, 15, 17,  7, 39,  0,  2, 26,  4, 16, 13,  4, 30, 20, 36,\n",
       "       34, 36, 31, 44, 35, 32,  5, 33,  0,  9, 31, 35, 24, 38, 11, 44, 43,\n",
       "        7, 48, 32, 29, 40, 24, 43, 10, 30, 49, 18, 10, 39,  6,  7, 15, 12,\n",
       "        0,  3, 15,  3, 17,  2, 15,  0, 19, 44, 23, 21,  0, 30, 20,  1, 45,\n",
       "       20, 42, 12, 22, 14, 24, 46, 44, 43, 40, 32, 16,  6, 24, 13, 25, 35,\n",
       "       31, 39, 14, 49, 29, 48, 46, 13, 19, 15, 33, 41, 35, 25, 34, 22, 33,\n",
       "       35, 14,  7, 32,  3,  3, 31, 32, 46, 25, 21, 28, 35, 36, 20,  0, 40,\n",
       "       14, 14, 40, 47, 27,  7, 42, 14, 29, 18, 14, 10, 35, 49, 29, 15, 25,\n",
       "        4,  5, 41, 36, 40, 22, 29, 16,  8, 29, 38, 38, 14, 42, 36,  0,  4,\n",
       "       44, 37, 20,  9, 16, 35, 38,  8, 15, 39,  2, 49, 35, 33, 15, 15, 15,\n",
       "       30,  2, 34, 19, 29, 18, 38, 10, 18, 25, 17, 49, 37, 20, 40, 46, 23,\n",
       "       18, 15, 32, 37, 30, 40,  9,  4, 16, 15,  0, 27, 20, 41, 23,  6, 24,\n",
       "        0, 48, 16, 28, 24,  1,  9, 21,  0, 12, 32, 40, 17, 19, 30, 23, 33,\n",
       "       18, 46, 22,  3, 34, 49, 24,  6, 37, 33, 12, 37, 15,  1,  6, 15, 28,\n",
       "        3, 32, 21, 44, 29, 46,  3,  2, 28, 20, 43, 30, 29, 20, 31, 25, 41,\n",
       "       46, 17, 22, 13, 30, 23, 36, 21,  7,  3, 23, 12, 49, 13,  7, 41, 30,\n",
       "       26,  8, 39, 32, 20, 17,  9, 39, 25,  1, 31, 35, 43, 27, 39, 18, 22,\n",
       "        1, 34,  2, 17, 21, 11, 29, 18, 11, 43, 19,  3, 19,  0, 29, 21, 27,\n",
       "       49, 32, 22, 20, 35, 17,  5, 11,  5,  9, 46, 10, 29, 32, 38, 42, 23,\n",
       "       40, 31, 18, 40,  5, 48, 28, 15, 40, 42, 18, 10, 40, 25,  4, 49, 18,\n",
       "       49, 22, 46, 13, 21, 16, 17, 30, 48, 49, 14, 30, 10, 21,  4,  7, 20,\n",
       "       34, 41, 35, 13, 11, 45,  2, 21, 17, 30, 34, 27, 21, 35, 28, 34, 27,\n",
       "       10,  8, 11, 17, 27, 25, 22, 36, 14,  3, 28, 20,  8, 43, 35,  8, 17,\n",
       "       46, 32, 34, 19, 27, 31, 16, 27, 42, 46, 15, 26, 37, 24, 40, 38, 19,\n",
       "       44, 20, 21,  1,  4, 28, 18,  4, 16, 14, 44, 35, 39, 46, 32,  3, 11,\n",
       "        8, 34, 33, 46, 28, 25,  3,  1, 34,  8, 47, 25, 27, 29, 25, 13, 10,\n",
       "       16, 15, 10, 12, 33,  0, 30,  3, 17,  0, 38,  3, 30, 21, 26, 31, 10,\n",
       "        5, 33, 36,  9, 46,  0, 39, 43, 45,  5, 10,  3, 39, 13])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bee600f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "y=np.random.randint(0,50,1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "de5953f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([37, 16, 25, 43, 46,  7, 43,  0, 14, 14, 33, 46,  0, 14,  2, 35, 31,\n",
       "       39,  7,  7, 16,  2,  5, 38, 15, 14, 40, 13, 12, 37, 11, 15, 31, 46,\n",
       "       49, 34,  6, 42,  5, 21, 43, 44,  6,  8, 12, 46, 46, 18,  7, 29, 18,\n",
       "        9, 46, 22, 20, 33, 47, 24,  9, 12, 23, 45, 36, 23, 39, 37,  6, 43,\n",
       "        1, 19, 29, 48, 45,  8, 34, 29,  0, 15, 19,  4,  7,  1,  8, 26, 40,\n",
       "       25, 32,  6, 32,  7, 38, 17, 29, 38,  3, 10, 27, 16, 49, 43, 46, 42,\n",
       "        6,  8, 31, 25, 34, 33, 32, 44,  6,  5, 37, 30, 24, 46, 20, 22,  0,\n",
       "        5, 22, 27, 39, 37, 25, 48, 36,  0, 45, 38, 32,  5, 15,  5, 33,  0,\n",
       "       12, 16, 32, 33, 16, 41, 12, 21, 10, 17, 14,  7, 20, 29, 12,  7,  6,\n",
       "       18,  0, 42, 44,  5, 11, 47, 24, 34, 14, 38, 24, 42, 33, 24,  3, 41,\n",
       "       30, 39, 22, 38, 41, 32, 27, 27, 18, 33, 36, 44,  6, 38, 45, 48, 34,\n",
       "       31, 47, 34,  7, 42, 20, 49, 26, 22,  2, 41,  0, 28, 39,  5,  8,  9,\n",
       "       30, 33, 11, 34, 40, 27, 12, 23, 43, 40,  2, 22, 18, 29, 41, 34, 47,\n",
       "       29, 31, 34, 16, 49,  1, 11,  1, 28, 49,  0, 11, 37, 14, 43, 12, 48,\n",
       "       36, 49, 14,  9, 21, 32,  7,  0, 46, 24, 16, 37, 16,  4, 28, 26, 38,\n",
       "        7,  9, 34,  2,  4, 13,  2, 27, 35,  0, 34,  6, 16, 37, 17, 38, 18,\n",
       "       14, 37,  0, 41, 33, 49, 13, 35, 31,  9, 12, 28, 12, 31, 30, 13, 41,\n",
       "       38, 27, 23, 45, 46, 22, 39,  7,  2, 25, 32, 30, 27, 41, 14, 45, 49,\n",
       "       21, 25,  9, 10,  6,  2, 30, 13, 14, 27, 32, 42, 18, 19, 25, 24, 42,\n",
       "        4, 11, 24, 22,  6,  4, 15, 28, 30, 39, 48, 46, 21, 27,  5, 35,  8,\n",
       "       18, 46, 48, 44, 37, 30, 24, 12, 42, 40, 43, 21, 28, 40, 47, 23, 28,\n",
       "       20, 25, 37,  5, 48, 23, 49,  4, 20, 13, 29, 28, 27, 28, 39, 17,  5,\n",
       "       19,  8, 15, 36, 48, 28, 28, 32, 42, 37, 30, 39, 26, 14, 42, 46,  5,\n",
       "       12, 25, 15, 29, 37, 44, 15, 28, 41,  7,  2, 46, 11,  2, 25, 36, 48,\n",
       "       47, 37,  3, 25, 20,  0,  0, 17, 46, 35, 20, 17, 35, 14, 36, 46, 42,\n",
       "       38, 23,  1,  0, 32, 12, 40, 26, 11, 37, 25,  5,  5, 14, 23,  2, 27,\n",
       "        0, 35, 34, 23, 24, 45, 14, 13, 48, 22, 32, 27,  8, 49, 41, 38, 19,\n",
       "       20, 24,  7, 27, 37, 41, 31, 37, 18, 16, 32,  9,  5, 46,  2, 16, 38,\n",
       "       30, 45, 48,  2, 25, 32,  7, 25, 21, 36,  2,  9, 11, 35, 42, 39, 29,\n",
       "       20, 20,  9,  7, 46,  5, 25, 19, 16, 28, 45, 18, 17,  4,  3, 41, 19,\n",
       "        5, 38, 10,  8, 12, 41, 34, 24, 19, 35, 34, 22, 25, 40, 23, 38, 11,\n",
       "       13, 38, 11, 21, 15,  4, 18,  4, 11, 43, 36, 27, 15,  1, 12,  1,  8,\n",
       "       25, 26, 38, 15, 21, 16, 20, 27, 29,  7, 14, 11, 12, 41, 20, 37,  2,\n",
       "       33, 10,  8,  5,  0,  2, 41,  4, 45,  0, 35, 30,  4, 11, 44, 16, 14,\n",
       "        2, 49, 15, 32, 24,  0,  1, 27,  3, 47, 17, 41, 19, 44, 49, 33,  6,\n",
       "       23, 49, 49, 47,  8, 29, 18, 16, 34, 28, 40, 38, 10, 23,  1, 45, 31,\n",
       "       24,  9, 31, 27, 34, 37, 18, 18, 27, 24,  4,  1, 44, 37, 33, 23, 49,\n",
       "       44, 41, 32, 27, 16, 27, 12, 26, 40, 28, 22, 48, 38, 20, 43, 41, 19,\n",
       "       46, 37, 45, 11, 37, 20, 34, 23,  1, 40, 21, 37,  7, 24, 24, 42, 19,\n",
       "       41, 30, 45, 27, 32, 14, 25, 13, 14, 36, 24,  3, 29, 31, 28, 12,  2,\n",
       "        8, 40, 15, 37,  7, 49, 18, 38, 47, 36, 48, 18,  8, 21,  4, 39, 41,\n",
       "       13, 40,  9, 10,  4, 43, 24, 25, 33, 18, 14, 46, 14,  7, 35, 13,  8,\n",
       "       38, 49, 14, 44, 17, 45, 44, 13, 23, 26, 31, 49, 23, 37, 42, 29, 45,\n",
       "       25, 17, 32, 26, 46, 45, 18, 24, 39, 11, 39,  6, 42,  4, 48, 39, 46,\n",
       "       21,  3,  9, 36, 24,  7, 32, 12, 22,  1,  7,  2, 36, 32, 20,  3, 21,\n",
       "       30, 35, 17, 17, 43, 31, 25, 39, 25, 29,  3, 47, 20,  7, 15,  8, 23,\n",
       "        9, 46,  1, 21, 13, 22, 27, 25, 17, 35, 32, 29, 40, 14, 21, 25, 48,\n",
       "       47, 19,  4, 44, 25, 24, 45, 12, 18, 35, 26, 13, 25,  0, 22, 14, 10,\n",
       "       39, 11, 19,  9, 35,  7, 40,  2, 27, 24,  2,  7, 21, 19, 14, 13, 33,\n",
       "       18, 22, 17, 11, 28, 44, 44,  2,  3, 10, 31, 44, 27, 32, 38, 29, 29,\n",
       "       33, 41, 43,  1, 41, 49, 25, 21, 48, 45, 48,  0, 38,  7, 21,  5, 15,\n",
       "       13, 16, 33, 30, 36, 32,  8, 44, 40,  3, 24, 14,  3, 48, 35, 31,  1,\n",
       "        0, 42, 31, 18,  2, 15, 38, 43, 39, 20,  1,  0, 45, 49, 18, 29, 44,\n",
       "       26,  7,  3, 21, 19, 15,  5,  3,  8,  8, 43, 43, 31, 25, 12,  8,  4,\n",
       "       17, 28, 37, 47, 23,  6,  0, 23, 41, 22, 23,  8,  2, 18,  3, 37, 14,\n",
       "       15,  3, 34, 17,  0, 42, 44, 42, 34, 14, 43, 44,  3, 42, 22, 41,  4,\n",
       "       44, 39, 41, 39, 16, 42,  3, 34, 13, 25, 38, 11,  5, 28, 22, 39,  9,\n",
       "       14, 47,  7,  1, 33,  6, 39, 19, 15, 49, 33, 47, 39, 34,  5, 20, 35,\n",
       "       38, 49, 17, 12, 11, 24, 31, 22, 45, 33, 24, 30, 23,  0])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81f8fe94",
   "metadata": {},
   "outputs": [],
   "source": [
    "pearsons_coefficient = np.corrcoef(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3140d710",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.       , -0.0141417],\n",
       "       [-0.0141417,  1.       ]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pearsons_coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fca284b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "y=x+np.random.normal(0,10,1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0cd286f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 4.69655194e+01,  5.01906468e+01,  2.96788592e+01,  3.08008235e+01,\n",
       "        3.84531264e+01,  1.65797657e+01, -6.71388984e+00,  2.83071738e+00,\n",
       "        3.83955138e+01,  2.67767658e+00,  3.32153960e+01,  2.17773543e+00,\n",
       "        4.33992496e+01, -4.29971237e+00,  2.51461548e+00, -5.05352687e+00,\n",
       "        1.69887689e+01, -3.48188246e+00,  1.50284120e+00,  3.42976052e+01,\n",
       "        1.62970103e+01,  1.74107534e+01,  1.71524290e+01,  1.37085898e+01,\n",
       "       -6.56896177e+00,  2.07457060e+01,  1.46499467e+01,  1.53391158e+01,\n",
       "        1.14248945e+01,  3.40022471e+01,  5.52979886e+01,  8.22454563e-01,\n",
       "        3.40989052e+01,  4.84524074e+01,  1.28941722e+01,  2.80779244e+01,\n",
       "        4.49902955e+01,  4.31306687e+00,  2.07849672e+01,  5.63275868e+01,\n",
       "        5.58170280e+00,  2.73825052e+01,  9.65156892e+00,  1.99468773e+01,\n",
       "       -2.55604992e+00,  3.76035928e+00, -9.98599833e+00,  2.53139492e+01,\n",
       "        3.48768328e+01,  1.93567587e+01,  4.00523089e+01,  2.69869190e+01,\n",
       "        1.45976801e+01,  3.70743838e+01,  7.03208341e+00,  1.58636504e+00,\n",
       "        4.96402430e+01, -4.04824825e-01,  2.52117770e+01,  5.25561234e+01,\n",
       "       -6.17076404e+00,  1.48112750e+01,  2.30633412e+01,  6.17092582e+00,\n",
       "        9.75861201e+00,  3.85385043e+01,  1.95610575e+01,  2.47202644e+01,\n",
       "        4.85120436e+01,  3.43927270e+01,  4.04253312e+01, -8.55715784e+00,\n",
       "        3.98976250e+01,  3.41094701e+01,  3.06816615e+01,  4.73220086e+01,\n",
       "        1.26143003e+01,  4.54504005e+00,  4.68378578e+01,  2.76049700e+01,\n",
       "        1.52677539e+01,  5.15298721e+01,  1.05162149e+01,  3.17844182e+01,\n",
       "        3.18019582e+01,  2.84897839e+01,  1.29622407e+01,  4.12201539e+01,\n",
       "        3.88742680e+01,  1.72647787e+01,  3.15557073e+01,  5.55194397e+01,\n",
       "        4.08060438e+01,  3.81868113e+01,  3.72234613e+01,  1.49706154e+01,\n",
       "       -1.71385179e+00,  3.06807248e+01,  3.98155958e+01,  1.71573997e+01,\n",
       "        4.82137929e+00,  3.34586075e+01,  3.07032622e+01, -7.57086003e+00,\n",
       "        4.19652962e+01,  8.71806166e+00,  1.55767093e+01,  8.31964352e+00,\n",
       "        2.38939108e+01,  4.40815052e+00,  1.13630292e+01, -5.72440709e+00,\n",
       "        1.88679419e+01,  8.45964733e+00,  2.19564501e+01,  4.10408494e+01,\n",
       "        3.82935869e+00,  5.89459658e+00,  3.62411990e+01,  2.23609625e+01,\n",
       "        3.35825915e+00,  8.58744072e+00,  1.46403312e+01,  3.21302996e+01,\n",
       "        1.18872164e+01, -2.24700867e+01,  4.97000935e+00,  1.82460687e+01,\n",
       "        3.80203365e+01,  2.47414015e+01, -7.24863982e+00,  3.66056614e+01,\n",
       "        1.24882930e+01,  7.89538544e+00,  2.92143925e+01,  1.67911925e+01,\n",
       "       -7.77013378e+00,  3.80047034e+01,  2.51167406e+01,  1.83788370e+01,\n",
       "        2.89200646e+01,  5.41012357e+01,  4.17154164e+00,  3.40423299e+01,\n",
       "        4.27846389e+01,  2.84648156e+01,  3.68850306e+01,  1.16005342e+01,\n",
       "       -4.36971134e+00,  3.92127464e+01, -7.55139619e+00, -4.48455758e+00,\n",
       "        3.34172694e+01,  4.52248569e+01,  1.52575700e+01,  2.73994193e+01,\n",
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       "        2.03553049e+01,  3.57245318e+01,  4.98312183e+00, -3.11243879e-01,\n",
       "        3.26897262e+01,  9.23743401e+00,  2.68211817e+01,  2.89931412e+01,\n",
       "        3.24179263e+01,  4.93906767e+01,  2.43363511e+01,  3.33796995e+01,\n",
       "        2.07446529e+01,  2.64390855e+01,  1.13159564e+01,  1.83915199e+01,\n",
       "        2.63272328e+01,  9.27443367e+00,  1.05176666e+01,  5.19566015e+01,\n",
       "        3.05670666e+00,  2.57127949e+01,  2.98285810e+01,  3.28688116e+01,\n",
       "        5.47424258e+01,  3.35019683e+01,  4.45461274e+01,  1.24149977e+01,\n",
       "        1.98906762e+01,  5.62353804e+01,  1.34691534e+01,  3.34721269e+01,\n",
       "        3.62835952e+01,  2.24238140e+00,  4.41494424e+01,  5.22102076e+01,\n",
       "        5.92775794e-02,  1.61054073e+01,  4.38214978e+01,  3.93988525e+01,\n",
       "       -2.42656684e-01,  4.07765138e+01,  3.85428052e+00,  3.99498920e+01,\n",
       "        4.32731408e+01,  3.56074553e+01,  6.14329618e+00,  1.31337209e+01,\n",
       "        1.26274078e+01,  1.02017636e+01, -8.13009262e+00,  3.84537560e+01,\n",
       "        5.33713677e+01,  1.34125099e+01,  3.21132846e+01, -4.67766336e+00,\n",
       "        2.59571342e+01,  3.50636655e+00,  2.42070796e+00,  2.53854558e+01,\n",
       "        2.16411803e+01,  3.87460832e+01,  4.94604332e+01,  1.44331708e+01,\n",
       "        3.10903642e+01,  5.27824726e+01,  1.40765366e+01,  3.32913273e+01,\n",
       "        2.40261481e+01,  4.05749457e+01,  2.71353148e+01,  3.18129255e+01,\n",
       "        1.58394115e+01,  3.78002469e+01,  2.75294485e+01,  4.93940430e+01,\n",
       "        3.36015924e+01,  1.48725738e+00,  1.52261146e+01,  7.52932952e+00,\n",
       "        1.77573772e+01,  2.78023252e+01,  6.09955798e+00,  1.15473945e+01,\n",
       "        3.88677563e+01,  1.23349485e+01,  9.97488196e+00,  2.68520385e+01,\n",
       "        1.73504300e+01,  1.06081754e+01,  6.11475975e+01,  4.27696887e+01,\n",
       "        1.72550981e+01,  1.22305657e+01,  4.73316474e+01,  5.09789885e+01,\n",
       "        1.05492933e+01,  1.86598690e+01,  3.76973094e+01,  3.41505422e+01,\n",
       "        2.34508746e+01,  2.21789310e+01,  4.23158612e+01,  1.92353191e+01,\n",
       "        5.76612492e+00,  3.47878340e+01,  3.92387881e+01,  2.86714417e+01,\n",
       "        2.55162849e+01,  4.55886406e+01,  8.30740451e+00,  5.26254347e+01,\n",
       "        2.21348773e+01,  8.68954389e+00,  3.44939560e-01,  2.24932152e+01,\n",
       "        4.35451380e+01,  1.59278176e+01,  2.50376201e+01,  1.53338421e+01,\n",
       "        1.05039882e+01,  4.15366374e+01,  4.15233489e+01,  2.26881690e+01,\n",
       "        3.45834623e+01,  2.77697481e+01, -1.38966135e+01,  4.23802424e+00,\n",
       "        7.61015677e+00,  3.23269290e+01,  1.50775212e+01,  5.33205419e+01,\n",
       "        1.35966386e+01,  2.82953969e+01, -9.91152885e-01, -1.65057225e+00,\n",
       "        3.96255857e+01,  1.32181244e+00,  4.18048046e+01,  4.24767119e+01,\n",
       "        2.78662825e+01,  4.35333280e+01,  1.53861446e+01,  1.08286831e+01,\n",
       "        6.54421190e+00,  2.19120997e+01,  1.61244489e+01,  1.02697786e+01,\n",
       "        3.33381095e+00,  3.65646995e+01,  1.82271583e+01,  3.60688383e+01,\n",
       "        4.29756012e+00,  1.02767297e+01,  7.89561180e+00,  3.46028916e+01,\n",
       "        9.51354468e+00,  3.37301459e+01,  1.38788360e+01,  2.26969521e+01,\n",
       "        2.69068139e+01,  1.76096426e+01,  2.33412427e+01,  2.28682237e+01,\n",
       "        2.21044376e+01,  2.74682415e+01,  3.66598838e+01, -2.81821899e+00,\n",
       "        2.33915645e+01,  4.49784359e+01,  5.28498577e+01,  1.64382038e+01,\n",
       "        3.08631787e+00,  1.01240798e+01,  3.87699847e+01,  8.00945602e+00])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "6b542f79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.        , 0.80974455],\n",
       "       [0.80974455, 1.        ]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.corrcoef(x,y) # strongly corelated"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "006a7577",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "matplotlib.style.use('ggplot')\n",
    "plt.scatter(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "664244c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.        , -0.80445381],\n",
       "       [-0.80445381,  1.        ]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y=100-x+np.random.normal(0,10,1000)\n",
    "np.corrcoef(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f78e3ebc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+sBbSnsrX2YbU3/8CvYJX77v6Gpjv/NnxnKy77kcm+/yKioCFP4o6NJi/Dq0fnFJ6zyMJBALK35eJZrDhrOM9D5SUjumciXDf44G+7zif7+G1wIr1mF2orKxEZWXl8N/hkr7RYmZmy9dAwkD97a0wNj4MIyLxZlWtRGewBOaGH0QdN6tWojWQCvPEn+UO1V1PwYowTABsQ1VSBuQXRdfB5xch9JX/DgCO12huaY5KLA4A6D3xlp2glN5Lw8AgK8MkWGYIrYFU4Gtr7fcNQCsAMzMHgLNu3czMQe95OaFrDg4AmdlAV8elg5nZ6CqehR6Vzy+QSt9zjOI8RREloFOR2K7Z8OdqjLFrdqrf93ih75tTWsodhriMe25uLlpaWpCfn4+Wlhbk5OQAAAoLC9HUdMmrbG5uRkHBOG21WQlc6Rxav80Sb6IsgUtbO40N9/bA+N4P5QVB6l5lFT9+PxASWoDSZ3D5AVKwwuLhRvEsWO+/Ix4HSPagrSXasAP234qiZZG1+kmJlivQTAHiMu7XX389Dh06hGXLluHQoUNYvHjx8PEnn3wSN998M1paWnDu3DnMnUti3WOEdmo2NQJHXxNFvZRqq91+oCw5m56htFDYipQCqenyuL7L59qyCEf+6NSEmZElK2WS2DqqVgLvHHPsMobrw0WtmBwlrZjpKril5Qo0U4ERjfvjjz+O48ePo6OjA9/+9rexfPlyLFu2DLW1tTh48CCKioqwceNGAMDs2bPx2c9+Fhs3boTP58M3vvEN+Nx0UsaI2KlJRL1QXwcromlnJEPj+gNldd1sEhNbKPpJbJ01SaWlAfV1slxCsATo6nR25roOKjHEv1ntOOr2yt4+S4R67MGGF+fmrg47LDdFG4m0XIFmKjCicb/77rvF41u2bBGP33rrrbj11lvHdFFjgXpHsSP5AFdD4/YDtY6/Kb/GJx/K10SakqiMActd9PbYXaUSjQ3AnXdHNzGtWuuuCy/JMQy9H9IOJFRxPfDKIeflVlwv34aHHqxnQ0omAi1XoJkCJG6HKoHGpAnU0FStlIdgV60EmHFnsNJG5um7jOuzWCPRwEC07k1/nz0JqXy++s6EsX8PP75kqXy9wsPj8mA9nPY03vrvWq5AMxVIaOMuaazgxpvEQRoou1yUAXA1NFK9PGCLcUnyA+Xz5YEZ3Z3k/KTBq3w+1305IQzYAGyRMwXj55Y3AMj0ps4O+TmxSdYwHnqwdDFqbFCa9jRReYCkThhrEoKENe62xsqDl+LP3Z3231dfI3dqpqXbhmW0hoYNwa7bC2PFGlgfnXYmIyur5MSpVPkC2IuFcE3GijXD1xDr+YVYnD5WwTL8Emc/Eo0fCovl88AlASzU0dtPkBcpLz1YuiNra1GTMtCVLJppQsIadzz/mJxYfPe4/PjeHnuAxCgNjVvYwh8sQehvvx4d3/7br9tiXJLhYHXr/oD7NUnGhhhxyvmzzti+m8Babw83gOkzAKnBqpjX2nrmwbLqHqJUqRp2ireSRc9W1UxVEte4M3Etov7oFn5RmQtq5BXYu4afPT5qkS6kZciDu+ctUjd+KalqBp7tGshxI6+ADuWgMgpl5L7hsfGTqnuI3DD7vL3MA0zXUk9NYpC4xt3nk8ME/gBQUOQIdVg33gQ8ev+w52cBwDvHELqz2tY7jzmOO6t5vLjmATWRrvnXAO+/Gz3sIicfxqq1qndt7xIkp5vtDlhcPzUNyMzi9ye+dqpSaMtT48eqe2ZfqRZu87KSRYd4NFOYxDXuc8rlcXqXXwVjzSaHt2jt2ynH0H/yY2eJZMtFoL6OhkxCTJkRcGq8+PxAZZU9jcmLig6mwMjKJwMpcsllQZH4PvmCJQixoRz5hcCtXx+9Bnycxk+aZgW3rmCFcJuXeQAd4tFMZRLXuLvI4oo12u8ckx8vdXUCfLA0YBscqYMUED164/BL8K3ZNGpvzs3jpQ1OgRQ5XJOdKxpqw0UCgEkTICdPSQM+HuPnGEbS02X/ffU14uPdZCUYXuUBdIhHM5UZv/bR8YY0DNHjUszbjVAI1o7N0bK3Ozbb3tXqDYAR89YZPppYtFqbZX10hpvHW3a5/Jw55bK07+oN8vGqlQi9fRSh+9YgtP4r9n/fPmpf74032TuOSHx+oK/PVQPewQjlliJsGMm5M/Q+Jg2mV+91iEejiYPE9dxdEGu0DR9gkeSiRCAgxnitfTvt+aOxsWzL5Fox6RncEwecISQ3j5cZxuxcHmYRxulZTY2ihxyq3mpX/UgG9pMP+HUpQkMQLOTV32d727ueAMJ9DSONBRxnJjvE42UYR4eEko/ENe6skajscrlGO5MIa2XnAqYFdEXMS83M4VUmp0/aBkYi7F3GJusA0Suz9u2MalYavlZSdWPkFbgqUjLRMimUgoEB2UPe9QSsopnyaxBoGIKVW3a0wdp+73CC2QKAE2/BvO9/8JBXalr0fXR3DoeEAExah6pnpZ6Kuxwvwzg6JJScJKxxp41Eaeny9nbBp4G3jyJazNYA/tvfAb/4WfTjezrt8kXGaLzLCC8Zv/mf8uOZ3k3pHFoBYtTtpXFeccfCtvuxYZeIe6MNQ8EScYFk2jL0PBfPO0tZ21tg7X7aDiNF7igA+1pnzQbejunODS+QEfNsLQB49zjMe7bZj4l9PwBYOzaLj4/HkLGFYtw9YS8rdXTVT1KSsMbdFyyxyxgjt+mrNwC/2i0/ob8P2PSIswpj1xNyMxSbhlQ+H/jwPdm7DARkL5l1g7LdgUsFiElK+VipJ/IK5ddgpaQzModkhQUJB6aRs38PzPL5TkPKyg6bGuXznDoB/4IKhKq3Oj8n9rm+c8z5WTQ3wtr9TNSA86jOXBZuW0tKQAnM4w2tWmd/7iqesEtTmaSG6WWljpYoTk4S1rg7wg1D23Qqo9vWYiskbt8ZdZiWNTJZ38WfswW/pFF3hiF7QEwgjDUFjTBYZDiGHhF7Rn2dXOrJGp7mlAMfnBIlgmnMvbMdIp3tojds3LPNvrbYnUytrCgaXmTFzymyRyASlig/ddx5740NQIvwuQHu1VEM5vHuekJNEgEuu5yIfE2kGqZb6E4VLVGcnCRutQz7YTFjRjoZaUkl89z37+E15QPktZngFpH8ZWEOIGZR6+60/7v7KS67wBav7FygeqvtyWZk2v+t3gr/ggrusbH77u+XveHdT1+61p6uS9eakiqfx62Khn1+DNa8RXRw4oG+T+Q9d/WEWeUNIH/PI/898vHxVOp4WfWjmTIkrOdOfyhMLndofJyDWbOBNuFchk82EG4xaZYMZCGQPqLn/otdYpjDFyzhi1ogRT6Xiza85CED4EY2JVVekJghPXVC9p4D5Gs39NlJTUy09j4zW95RZGTKx3Py5F1X+Xz5mlxQ/R64ecKs8sZ68Sn5CYrNW264Vf3oKprEJWGNO/1hlc8HpERr1Uo54Sj90AFuFGdk8ljyqnXAC487NeCLZ4lyw2RSqZ1cZPNbme4L05whxowlYF1/uDOyZOPOGqiYl8y6bLu7aBOTdefd8nteONOZaAWAmaX24hAbdrptNfDLFx3fj7ASp9J74vY9iIi5Dx8fwRMWq51cQiZeygqrzhHWBn7qk7DGnf6wKquAn+6IfmwoZNd1C0kumiRkfPFv+Bg6AJakAX/jl2TjHitVEPkcVr3AYs9p6Xb8PXZhueNuccFhCVjzez/kyT1WQVQ4Ezj/sfN4VrYs8MZ0cHw+3sS0fw+MTY84Z+bGftZhzn0sdwsffRVwGWKuYsxcPV6vhnVM5lQnXUWT0CSscXdNLMYawPYWYGeNM/zi1iXKvOp//WfgS38jezo7a+Sk5v96YXQ3NYwhvr7V2kwlbpFfCOOb94x+wfntPvFarX07+a6ohVS5NAvXA9hJv0CKc8HJK5ATmHMX2pVIEt1d4szcEFMHZfmM1maQVHlcxswt8e2FAWSD4CfCc9ZVNIlNwhp3s7Eh2mB3d9p/s0RoJ9GQUWUojitt3+mXnnnbbPhFaqpcYWP4aOzZKJ6ltuAwo/jeCeD+GtlbbCfvIX3PO+RpVressndXgkqmVfOAnLeYkSm/Rk6+vNilpcuhIpdu4alqzKRFLV5Uwk66iiaxSVjjbu1+xumJtzXz5hzDB0BBfoC+sMUnFTE9d5WhrgBPtJ47A+vLy4FX/hBzUsMOs0gvzQwT0b1Hby9P7tU8APQJIRsWZjn/idPwt1yEcfgl4L7/IUslrN4A1Gx2nmv1BrHe2ygugfU+2QVIowoB6p0nuzFTjqHrQd8JTcIad5wipX8siTd3kW1sYhOtsV7tSMws5dv30jnOc+YX2R4qa1hSob/PDjs5TJAF1NfBFGSFaYjFH5ANfFo6ADmsQA1vWrocpyeJU+vCOfjdwhaxi4VhAG3NsIZyB8P++LvHgVtXAUf+GP25+3xUZplVn1itzTC+vk6e9uShMZtUPRjFsJMe9J3YJK5xZ+V3Pp9dwx3p1ecWAF9ebicWI2GNSi4YpXO4N9zRJk8LSkvn9eYixNVPS7fLCyXeOSbvJqpWyt2ml1/F495uSIaXVRbRaqBWfv5dT8ihnBefcu4CmhuBfTvlDuP6OvjWPuBcoNhnHj4ufX4eMdl6MG5hJ7ZQTOagb2mnpheW0ZO4TUxZufLxzCxnrbvPZ3u80iQfikEbO+g2va1Ffo0U0ijFmnlYzXpJGe927e2WvbL9e+Tqk+xc2yuNJKIkUIQZXhZGYkY/N59LILNFkMX1mR4/WwQbPuHH2bQnr2R3vZT1jeNc9Hs7lIeIkreu3eIuSz3OhBcv65VDGPjz61PimhKNxPXc12waGgcXIwRWdrmz7LDlIq2eQHqGHFJYUGGPwVPQd0FWjpzcKyiyF5jY7f7ffj16Fitge9UlZcDHHzjPY1k8UcgkjZmx7O2xRwnGNAu5ekZ090GMOAv9ZOdS8S7XQSgqsEWwh8gV9HbH5dmqEG/C1jNtGfa9BehCYQ6Jz0244qYuwxwzCWvc/QsqEAoLgUUKhzEFRvZjTxmqTIkNNXx5xej0XSI1U+rr5NfIyXOOp1u9wb6H3AJnN+bhl2AJxt3IK4CVniFLHceGosIwY5me4TpVSWz4YudioZn0DPs5scakr5eLd93yNbvqKZaUVO69S6SSXZGLLMFo9F2A+MMpIyVsxfcc8ExbRrUL1rpwzm4oG+V9exl2mqqVS4lEwhp34JLAVFFEiZh5+CX5B5qaxrsohVCDcfglYEGF+LpmY0PUUG30dNl/z5QnMaGvlxpSUSTrhNBxCcAqnAnjxkpZ6jhm0Pfw8Vu+Ju8O+npdvTUxfs/OdcU84PTbzgueu9AO88Qakx99T36f3MS7aFyfECJGPL/ITqxLx+PwbJW8yKqVNGHrWoHFkvdEFtoNlS5YtLdSATTJo/fS2072yqWJIKGNuwSVq51TTrpE5bSDm4dAh22z3cEnH8q67exL/7ufy+f53c/hu+V2u4s0pqkFACwpGXjkj3LMnYwjtFqbYZAfqXH0VViSHC8APPaAc/dTWSVX3bCKJtO0jZ8EE4Rj9JPPgp1ncEDds43Hi2QJW2YYXaSAvdKWoYtaljx/l3n0LA8W1/ukyzDHTNIZdypXm5Yuezqlc8Qwh6uHwDxM9kMkxizeLabU1GLurJGTgWzBIaWZbtOerNZmu7xw7sJLBqUwaC92UqK1vk7e/bCEcSCFN3ypwjx91vSUmw+AlIDGMQuWDk4hCVvej0BKaN0UNBWhchp1e+UeAubRk+95PN72ZHbmJgtJZ9zdxtBJno7V1Agcfc3h6bOmIFdY2RypiqHTk+KA3jcz7qlpdmWR5BntE5QiAcAw5NBBV6f8+NMn5fsrCMr5gcKgXXHkBSmpRF1Sbnoy3IwGew/JcRpiITN2w+8NDSd2C+9vX5/SXN6RjKIYrlH06JGTZ++EPfK2vezMnY4knXF3i9WJX+C6vaKn7xZzp/Nb0zOALkG7Pb8QSEkZ/fSk0jl2d2Usc66SrwcuKpmpRC0yOwf4y1uB3U/bOvQpKZe6RJkxO/uRs0bdTW44FIIl3R/LTWTn2roz4iAUIsGcmS2/519apqYuOWSAxMWIhLDwyYdqow3dPFtmSNMz5PfjzGnnfTfyubzxJDVVPXqjeBYg6Btpb3tySDrjrhqriycrb6xYAytibicA2xudfaUc4iFfehq7n/lp24ON/PFmZsP49r30muh9s1BRS1N0crS/D/jZ43b1DjNmrPnI75cXEL9fbToUAHxjI/DYg9GG3PDZC0KDoDw5sxT4i5ujF6lVa3l9f4S65GhVIWnXcyhEPHTSg5GbTz1bV8kHCbYAs7m8cZYQKnn0YUOuSxWnBAlt3FkHm0rLdDxZeV+wxK7JlsrWJD0T8qUPsdj9Jx/C2Fyj5AFR4/DIRvkJ0iALM2SHMVQxTXtxi13s2Ag8ydMGgI42GIVBWNk50QtJdg417kawBL4lS4ElS6OOh/Y+J79GhLqkA+Zxszm0qWlqHnqwBNYtqxwltOHPVfyOMBVQVv1FGG0t/Wi+b1qWIDFIWOMe6WVF1v8Obz9H6z3EmZVnryHVv0/Ul95qarQ7M7u7YF08bw+iJnNaKV0dwPwKOezEMAxb4yXSe751lb0zkGCecFvLkGZ9a/Tx9lbbU43Vv3fLjbCafKYuCRcDmF9oe9yxi1dmlhwyycgUk/fWjTeJJbTm937IvyNsvOCcctvoe1Ag4FafDmDKyRJoRseYjPtvfvMbHDx4EIZhYPbs2bjrrrvQ39+P2tpaNDY2IhgMorq6GllZWV5d7yU8qqn10gtxDO2OqGcPX3OUp89i92VXKDeDsAlGuGIub9GXGBzkYaeONrmRyDTFEI+yHGZOHjewn3woD984/JIomIbVG6LfD2B4ADjzUukujoXVWMikp0sM/bAwnLVvJ7CWnIuRli4WCAB890ghvyUv4/eaiSdu497c3Ix/+Zd/QW1tLVJTU/HYY4/h5Zdfxscff4yKigosW7YMBw4cwIEDB3D77bd7ec0AvO1g88wLUfyRYNU6QDKiaWS777ZwsQlGzRdlpcquDlmSwe+nYSfrH39kX28spim/NkUeRmIUz4LFcgSkO9X64D2x5tqo3monT2Ni8UZhkOu5kx4J68ab7F1Q7K6IhUyYt83CcG7NW0xDv6Mtrt2j0hwCj+P3qmjhsLExJs/dNE309/fD7/ejv78f+fn52L9/Px566CEAwNKlS/HQQw+Ni3Gfih1sqj8S4/BLgGRE42maYbovfb0wHqx1vsaDd8mPH5LpFRNppXNsjz4WVeHE9Ay7yShGpte68SZ7QpQEM/rSeL/IBTW8gPX32e8B6/is22svOdIi9dt9dpWPY1c0T76mtHQ50RqP7DOr+ycloyPtHpXmEDDJZpZw9xCzsWG40mo47Do0BlIb+NERt3EvKCjAX//1X+M73/kOUlNTce211+Laa69FW1sb8vPthpD8/Hy0twuJOwD19fWor68HAGzfvh1FRUXi4xiDq9eh9YNTCEW0kvtnliFv9ToEFM/lFW0zZ6H35FHHccPnExeiQFcHChZeAyz80ajOkz5zFnKLitB79A10PP0wLnR1wsjMQvbaB9GRnQ1TiDH7srMRFF7jPDPIBuhn0fvl5Wh79XC0kfL7gcwc2QgxPZjUNGey1TSR+offY+DcGeXZJhLGB+/CijWAjQ0wervF8/tbmngJ6LvH5J3JR2Qk4NkzzvejscFuoBIIXDEPhUVFGGw4i65/+glCzRfhLyhC5le+hZbsHJjC7sCXnYu8wX7H47t+/wv0CotX2u9/AQDiv6VeMRehmWWO31KIqaY2Nij/XlVp+cmP0S+EsFL270b+/T8e19eeKgQCgTG9z3Eb987OThw5cgTPPPMMZsyYgcceewx/+MMfRv38yspKVFZWDv+t3KQQSIW54QcwIjrYzKqVaA2kAh41PLhVEIj1zf/1NuDEW85EGklyDWZmi/dtkvP0/dfbcP7w/42KJVtdnWh7aD1w2x3AL15whBTMr62T39uUNNkzS0mjn4X52587vc9QCCidbVffxMa3v74O+OWLzpBQp1wt0//Wq1zwSxGLqD9a3fLxwaYLgGqXKKtWYTkOokw66PPhwok/R3nVAwB6T7xFVSzNi+fRtGWt8/GkDLP3/Dn5mgD0t7fBGPothb/PZtVK4B82yE8wjHFvKgq97XRuAKD/7aPTpqGpaBTNW6WlpGcEYzDuR48eRXFxMXJy7K67JUuW4J133kFubi5aWlqQn5+PlpaW4X8fD8azg22kCgLp34zqrZ4kudySvKGaB2Qv8l//GRB0X/ysESs1Ta4mSbW156XuTmr8LAsQ4tv+JUthls93hoQ2/3f5PP29duOYlGRm8sFMkZIpSDJDzeLn8cCUJ1loqaONFwj4yU+0p9tZztrYYL//EukZMNIzlBr8Qqmp8lhFNodgBLycQqUZmbiNe1FREd5991309fUhNTUVR48exVVXXYW0tDQcOnQIy5Ytw6FDh7B48WIvr3fiGGkYAvk335pNYrJJtSKHJnlZbL27S1SYBMguo6BIlgAoKHKvvJEwDPt9iYlvm+XzZaPBDLJh8Eqdrk7ZuDMNGXbc7xMNPBs87i3kmpovwmIGky1GbAauZIzDqJb9jjS1SoHIGDpwqVuZxtBZJVn5fOXXnq7EbdznzZuHz3zmM7j33nvh9/txxRVXoLKyEr29vaitrcXBgwdRVFSEjRtJE80UQqWCwFUt0uXfPKvIUazfVh3mbRTPgsUqb6RkKmBPMYqt93aThs3Kkbtds3J4pc7Wu+XXVsbgUrn/8UfudY8n/X1cPiIlRd6FMDkGNhWrvVW97Jediw2+cUG5DLSyCjj6qjgbVzM6xlQts3z5cixfvjzqWEpKCrZs2TKmi5pIlI3fUDWOaqWOZ1tSNqR6NYmPug3zZkbu4Wr5XCzGzOLbjQ2yNGzRTNm4D73norfPPFVGIEW+3vQMuwRVKBUMZWXL8fLY5qkwWTlypy+b7sUMst8Pq+J64JVDzn/LKwQahXh5SopsZJlXPfR+KzkZLoNNlFEsA7XVXZ2zcV01nzRRJGyHqmfEY/wApe2tlxNqADiNhCFr0gPqKpm+YAlCqhOXmBFoa5GlYV3KNik+xU5bZuRmX0m7RFFUIhv3lADQJxj34ll2jmKUGkPIzZc7WsvncyXOWG83zIws2binpgE9wkI4JGms5GQUBGU9n4Kg/HgP8XoS03SM90974x6P8QMUY+hezoPc9YTTmFqmfVyIt6uqZAIY2h0I82mDpXJdeXGpHet1SMPmyElKZsSZMBlgN3a5xZNj8fuBLKF5C6DhASYHjH6yYzl3Brhrs1NWuDAoJ9BXrQNeeNyxGBgr1sC6nySZ2W6JJVrZopadqx73ZklplXGHYRRj6G7fW2ao3Y576lwlCAlt3L3oYIvL+EFte+upF+KSUBUTp3Fo5xiFQVi5+dEJ19x8oEQ27kbZnEtSsLHt9hJMhtjFu2QNNZT0GTCGJlaNdsSf9a2/l6d4sW7b3h6xYQikaorlE3zBEoRUq/ubzsvH2QLY16ce93bpwFX1hFmi3FixRn4C+d5aN94khvpCq9bZ771U3TZNh20nrHEfUThstLgYP6+2cp5207KQCemKZOWZrvdRt9dZSRP+2y1UFQudAkXCOKlpPAfCFCYZBUE5du/yFDrFi2FZylVT1Clg8XhVWHXNJx/w57C4N6sgyslT9oTdFjb6eGESE+r22rmcSBob7N0Tmfc6XYdtJ6xxH2/hMECuZY9rK+flPEgmiFVS5pwRO1J5Jlm83EJVqFrpGPABkLZ2NqGJzTdt+IR/rqpISUjANTxgXSCv4/fLRpPU3sc9W9WL1lyi2wPTpPOCKR4PDFetGJP6WELsvSU7WrcpV8k+bDthjft4C4eZO2s828q5laCp7g78CyoQCjcr9XQDGTNsg/+b/yk+nr0fbnFIWpZn+ET1R+vqT8nvFZvQxGrQ+3r55+eRZ2usWAPrg1MxIacC+/iPvy8/KX2GvVuKLcubt0gcuj4hRoNJOzACKcCsy+Qh8WWX83j1eA8MV4R+N8mO1nXKlYfDtqdiwjZhjft4r8Zeb+XEBSTORE+4WSmyPdk8/JLa++G286laCbx73FkFcu6MXP9+6oT8GmnpcmydGaYZmfzHm5kllx1mkDCVW7NLrAcb/pvVb1sWUP2wnDiN+PwADBsNqcPXv6CCG4GcPLmSJifPDmN1Rdx7Zg4wd4G8A8nMkoehFAZBFd4G+t2/hx4MDPcMZqhjYu7Dx+MY4OMGm3k8FRO2CWvcx3s1npCtnJeJnqqVtnJhbHUIyR24LV4G4DTKgwO8fZ7FpecuBD467bymv/26XY4Y6wmv3mAbIelzzc6Tjfus2fb5Y17DWLGGzzeVRv/V7eWDTfx+3v3Lhq4LHb6hO++O0tqJrFbBNzYCtQ8635Nvfs/eZex+2v4MAinAV74J5BbITT6zy4G3/+S4TiNYAuv4m/L9ffie8/N2+x4qDgwP44V36wuWiJLG/gUVrgbciyZC156YKZiwTVjjzhIunq2UE7CV8zzRE1sGZxi2oRGqCNyatKx9O+VpSAx/ACgscLxXw5UQkqcT26WalQOjMMhDAazKpfEcjO8/OmpvClmy1pHV2uxdyzvr8N31pNOIDlWr+Nc+gJCwOwAgD0K5Yp6zmcg07TtlSe8/vy5fL2lKch2conIc3vV6mI0N7tOsiDFVXViUBp8Tp8fL0YbxkLDGHRhf4bCJmBPp6e6gbm90GAWw/2ZVBKVz5CEeVSsBZkh9PtkQzCyDcdf3+Xsl5TOkxWPI01GtclHKmbD5pnkFdpmdQsu72dgAa8fm4ffdAuxwFksks5r19+ywlrQ7CN23Rl4opHp8wJ6/Kyx2vmAJQiwH4vOJuy/6PaR6Ny6fkssuNXTjTaMWvItnmpXqwkI9dOIYMOIdbeiVjUlo4z7ejPucyDh3B1J9P/USWF18e6vo6bvi84vG0Sibo1b3T6pSwiVuotfk4lWLYacLpFqGzDdF1Upb8lah5d3at1NeUFVVE3tdwhns86OCaS5JZyYWl1cAXHTWzVsV18ufRWoa0C0sYEOKouJlsV3q2Y/kEFb1VtnAxzPNSjX8yR7PZBfK50dNWgMQ92hDL0M52ri7MN7bpnh2B6y+n07TYXXx7a2yYarba7fVS234pXPsc401VOUyXYh6TWwkYWWV/Ph+UknS0wXc8jVHOacvWIKQy6IjSiCzRLJhiMO8kZoqb+HT0gGQRU1VCgIGl6pm4/+YY/C/XoCVmip7sFLyt4APlqCJ8vNnSQhL7riOB9XwJ3WUcvNtAy/kdwAo/Y4novZeG3fCRLUsK+8OVLVwWBVBVq7YfWi1NgMXia55WwuMe7ePfcFzmz1K7i9yJOGomloys+XXTk2LTub29wE/q0Uot4AvOo0NsgQy855NU9S3x5E/yruPuQv5onbL14CdNc7nFJcCEZOThnFprKKwhHhnmzPU0tjAF4nUdN47QebTUm+4q0PcoaLsclrOyVANf9KFKDvXuRAO7XZVf8cTUbChjTtjirYsx6OFIzZp1e0VdVSMvAJYH52WX6O/j36JVXY5rPPRKJ41chVP7HHWeMS4eF5ORD7/GJBfKC863V1qA8ANn6hvjy/cLBv3xZ/j37fD/8fppRuGfa2ScSeNSq4eITOyhg9itoPlFD5+X8xBmPdsc+n+JQtkKCTvUAtnyo8f2v1IuA4+l3Br3mK73Xiq28a5YEMbd8JUbVmOVwvHgduX6+SfqcSBhOoux+3HZpB6faRnyD92NnkoJVXeyTQSTZb2Vhjzr5Hb7ZmHTiHe84E98sP374FVRIzWu8edr29ZdoxXur/sPDmkZhgwcvPl93buIuCdPzu96rmLxLJKapC7u5zlqs2NQ9VXZPSg4QMgLCw+n1JlCnp7qIPBFhaWS5mI5q2JKNjQxp0wZVuWFVd8pgRofO+HXPK3pEyOqZaUydfkssuRhnW4/thUW95nZMnXlF8I45v3OH+gW74rV634fDx0kJUtl4IyUTGWmGYLUXcXDwUwHfv2NmDT9xz13nj+MfnxDZ/A+vIKOzQUWw305eX2/6QmrQhPHICd5wiF5MQsS+aePslVLNkOyK3yRiI9gypeeuWoeW0TxrtgQxt3xgRsm+JBtb7frXTMv/YB+cvlMrpOqSHqwjl5WAcZ4my1NsOv6DWxxiOjeJZcUjl3oRyznbuQhw5K59hDvWONfnqGXDXC4shswMaMTP59u3he/jwMRMsH93TZf5PBKejrBerr5JBUfR2fcCTtGv7ujujae8B+P9LS5R0fwK+LfddSiHIoq0zp6+VSzorywQDpkfjCzeJAFavievkeJhlt3AkTsW0ay7WNur4/jtIx6kVGhEaAkRui0N4q19i71JoDpG6dXZNiGZqxai2sbZuiW/Qzs+3jP90h30dfrzh8HM9tlx+fkmrHxKVrkozi6g08FPBwNa+WUSnDnJHJP/N3jgF/OoLhcEtPF1DzAKwFnxYNpnH0VVjS+1Ffx5vAjr0hvzbD75crjsKLUOyO5Sc/ls9z+iTw/UeV5INpx6lLWA1Llqrd3wSgjbsL417n7jHMC1FGNTTCKnVIRQ4yMp0NUeGwCIGGTCqrYBQG1RZhpi3DunDbW+UGI7fzkxb5UG4BbdgRdxqXz5Xj3iwNwMowV2/gBlD0ti15hwN7R2YUBoG5Cy+954VBYMUaOxkvlApa2zbJnjgThLMsOYldX2cv5rEa+i5hHNeiApW4vktYbSqijXuSQEvpyq6QjYNLS71qQolV6tBhHe0tPDxAOhPd4vQqksbW7mecCceONvt4Tr68GA0NEXHgJqH700cvLRY9XcBPH4V5349loziEWEufRhqD3OabCmWY/gUVCLEyQgpZQS6e57MDhAEpvmCJHQ5TGT3I3tvTJ52fX2ODPWtWCpENfc/FhVM1EeoWVpuCaOOeLLjVvxcERz8BZwiV0Air1KG+VKegWgi4hopUk2J0sWsmYaxTx2H8fzfI5aFsF8Bi691dTuPb3gprZ41tmISqIiY2RkNeTAoiJdUWJ4ssw/zlizDL54OqQjINeEZ3p2xgXWYHsElMuOPuaK0YwJbBmFMuLwaMgiL7PVH4ntPwIwv1feFm4OeCw3LL17Tkr2b8cK1/V5iA44pqkpltb+NAuVJBdeiHaXKpY3Z/zLtkXvX77zgTiOHeiVMn5DDEhbPyuXKIxxsIcO0VNo3J71OrTiGPpZIP4JOYAMCSZDAqq+SO5OJSeSeanQtjzSa17zn5PrOOU7oTPVwPK+L7piV/NZ7iWf37ECrDG2izEvOMmHa5S6hItRHFzdC4IlWHQFHvZrTnDh9ubeZxW5+Pqzw+Xxu9kBg+PsCDSSUAQGq6ncCMrFHPynGXeZZwUw5lMMG7+jryWfAdRjyqkK7f59idKNtZnjquJpk8QWjjnix4WLo5YlPSWBulVq2LLuMDorbQUuxZtRFF2dCkplKtd2vfzihd+nANNe6sBoSpThjol+O/rC4+PYNryGRmX0rOhidvrVo3ZPxidgiWyUXI+nq5JIPf76xDH/5bMO4sCcpyE3BTWpTLYsXYestFrqzp0sTk2feZ3hzZyXzy0djOO0a0cU8SPC3d9HA+LR2sQEJFobePirFnq3S2+BpWa7PsVbPkKGNwkIe23j3uNNYtF4Hf7pMrb2ZdBrz3tvM8M2bwfAPTkPni39jVIOF76e60/2Ydn8yzTU+3wxpS85EZcnaWtjXzlv60dHFgOc1NAOpKi6qQMt3wb0KlyY7+ZthOjd0DC6lNENq4JxFelW561dFnNjZEG6ahsjWzeit/Eht0wcIsqrX3ZKg10tN5GIlNGHr3uPNcbt5liBiB3h67c1Tif//KaZAbG0aWZ47lsiu5se4hoRd23+kZQHaO0i6Rfndy8pxSA8ES+/NjNfNSshOgBty1yY50tQJwdlavWGPLU0TuCnPy7PdvQKiiUR1I7jHauGsceNZmTTwma9/OqB9olJelGnseOmfsa6CwWK73vvwquSrnqoU8jMQqbJg0APPkWAdneoYd5pHoaJWPq+rduAhrKVXKAEBBkXLykn6nimfBuvXrzqYkILqxyn407Wtw032hi3bzRefC2XIR1u6nbWcidgjLHXc7h74HUoAZPqBNMO4sDDZBaOOuceJR/J56a6xWuW6va+zZEGQXaO39Jx/KO4BUYuQqq3h9f2xH6zCkhDCQIi9EhcVyIhkQwxz2NZOFgu1AWIlkbw8fAM4gr2EES9R3iWTGr3XjTeLuDoXFcL63FlBfB58gm+FWpouqlcCJt6IlnXPy+Q7r1HFgMOa+mxtt3Z7Yz6+5EVhwrb0ISzOBXdBj9jQTjlfxe+oxEazWZvsHERlzBy51WEqkZ8jHY3+cYT48JR8faqAS6/VnXyk3/6SmygazMCh6tlTeoL11KEkpJOZ8PtvQSQuFdE3ZeWJc3cgr4AOy2WvP+xTQdN47fSXWuCbtvFrIIkgqVlyrqZoabW36SDrbuFQD++4wvf/+XjsxHPnvWbn2DoOgx+xpJg0v4vdUMoB0zRp5BfAtqEBI0C0xCoNE37tYfnFaVUE85CGjISZnWUhjRpZo3I1gid2UdOoE0N0F6+J528AIo+wA2Mezc+VkZ3aeuGMBEKWCCMBu/rmzWh7OUrUSePX/ya8P2K8fuZvKzoWx6rv2fcSETOIxPta+nc77a2vm4Siat5ArU9yqqaxTJ+SFhU3rYrBQWFuL0/C3twwXICgN29Zj9jRTDekL7DqgQYiHh2vWJR0XOvCaxehZwtFlK6FcrldQZLekxwpSVVwvd5syedvuTuDurUDNA3DEmCMGhscKxZms1V+oUPIFSxByUftER0y1TEc7rNMnbWMjJMSVDTyrEWeLLRsjGAgozcy1LpzjFUqqeYvUdCAnV9BQyqFTzVSHbesxe5ophfK0eBIPpzXrcPnSs4oORl4Bb6BSLNczwrubWENT84Da5KZQyNZ+2fQIFRWTECUi3CqUMmbIuQOxo9ay9WlidyaT3ZzT3yfqttPkdksT/zemupBXKH9HFlTYvRjiVDNhslhegfp3ysN5EZNbq6OhmI0NMHfWILRjM8ydNfaPdqrCvsCKjURuXgv90rOQSfGsS9U0YYIlwDc22uGLSMLKhWxkXyDV3mlE4jamTVklULGs0Q237T7RvqeQblfrkw/Vr4t1H+fwxieR3l6x0cyx8wgz0M+lFSxL/o7ctlruXxhKuvvWbIL/nm3whXdVVSvF75TbrAPk5suvrcfsJTcTNZzbK1y/wAo1zK5eC6vgYecqu/ySVxXbscjCGSxh1tJI5WctoaQTKSliYyclI4M2b4Wqt7p677G49igwyVp6MhK2aBBmtw5BK0Aqq+S69b+7A/jVbqeGTHcXCdmwUAo57vMBPkNWsfP7RTVT1O2FJcTo3XaWjjDg0N+0BJTs+qZMtUxXVxeee+45nDlzBoZh4Dvf+Q5KS0tRW1uLxsZGBINBVFdXIyuLjELTyEzR4dwM1S8wgCijCGBEr4VNoHI7F0sK02RxTp7c1Wooys+y0X/+FCAkGNhZs3nz1q4nHPkHN9x6FKyL5+Uy06xsHpeWME2lCUZm9Va7Kkbi8P+RNWSumCcLhNESUL98vHy+UyIijMtEMJXjVB+nbq9rWfGUHrP3wgsv4LrrrsOmTZswODiIvr4+7N+/HxUVFVi2bBkOHDiAAwcO4Pbbb/fqeqcFU3U4NyWOL3A8pZYsscgSiKoYxbPkAdlZ2UCf4IqzGnQmtmWS2G/zRZ47UA3xuPUoxMoKA7ZRLC4FOrncsgPL4l3BzCmholsnnJUxLReBmaXiQBdcMVeWdmDHw5ObpGT1392h1N3MdpZuv1c2NnIiduBxx9y7u7tx4sQJ/MVf/AUAIBAIIDMzE0eOHMHSpfbIqaVLl+LIkSPeXOk0gn2JJn04N8EXLLEHNSxZCsyvgLFkKYwRQkhi7DIOohKIPV32f3c/FV+OomqlHAddvUE+HtutGIZJ/rIwR18vH/igOAjC7bPwL6iwxwUWFtvTsAqL7b/PK2qgxIbaAPtvVoPu5pSwmvKPTsvli1k5dtgmkoIgr1mvr7Pve9Mj0fe96REYR1/lstAkHi7lwkb6vXr1XVclbs/9woULyMnJwbPPPosPP/wQ5eXlWL16Ndra2pCfbydJ8vPz0d4uJzrq6+tRX18PANi+fTuKiorEx42GQCAwpudPNQZXr0PrB6cQOn8ptumfWYa81esQiLjPKXXfRUXAwh9NyEtF3nfbnqfRK/xA037/C+RWP6R24qIiDG59Gl3/9BOEmi/CX1CEzK98C4GSUgzOne843vrYDxCStvvpM+TwR0qqmKT0ZWcje+2DaPuH9dHJP78fuRt+gPShex315+32Wdz4Bft/EZx/4gcjnzMSVunh84khofSZs2Dm5KL/yGHnPwZSgEEhcUtKJP3dXcjb9o+Oz6L5vm/K4agP3rXfM+G+m//3LyFlIVJCg8gRvgcA0PLgd2EO9StYAHzvvY3s9VvQOYrfq+MWj76BjqcfhtnZCV9WFrLXPoj0iv906a0Z4+87buMeCoXw/vvv484778S8efPwwgsv4MCBA6N+fmVlJSorK4f/HnHQswtFoxkUnUgEUmFu+AGMiK2cWbUSrYFUIOI+k+6+R0nkfYfOy/XNvefPYSCe9yaQCnxtLQDABNAK2O+5cNwsID+81DTZuM++0o7/xoRFzK+tQ+es2Xate0wpZOes2egcuo9x+7xNxXpvsjOxMrPthp4Yeq+usKWQj/w/OEIjAT8gOe9kAQk1Nti/g5jPwiI7AGtwkL5nJtF+GczMFl8j9PQjjkY08+J5tP3yReD2u6I+u9Dtdzl+r1H3EZNAN7s70fbQerRFJNBH83mXlpbSf4vbuBcWFqKwsBDz5s0DAHzmM5/BgQMHkJubi5aWFuTn56OlpQU5OaTWWeNKog3nniw8EzmLBxbfzsqRE3gpqXYYhNSyS81bwKUKlOauDtsgReiUq8ZyPRuiLnGW6Jfv3wNj7kJYklYMC8sw+nrle2BhGXYcUNdQYt20J4+KQ7tdq9s8SqC7Ebdxz8vLQ2FhIc6ePYvS0lIcPXoUl112GS677DIcOnQIy5Ytw6FDh7B48WJPLlSjEfFwSIkqTIPHranFRww4I7IsNlJ2IbRqXdTs0Ui5WmZQaLNZahrvFPWC7i4ed09Nk6UGWIdqf598D6zfIcv2zr2YLEbfo94eZxJ9pOo2lihX7pHgjKla5s4778STTz6JwcFBFBcX46677oJlWaitrcXBgwdRVFSEjRs3enWtGo0DT4eUuMCMg9gl6uWCw8pid9bIcrX7dsIUuih9wRJ+rrxC2XCVzwdOvwNHKCUnV25QY4qUMzK5iNyccuCdPzurYvwBuYnKNOV7SE2Tzg70dNuL2o7NDglf855tdIcsTQNTVUZ2TSQz9VPFBLobhmWpCiyMD2fPxj+1RMeepxcTfd+xHi8Ae5ByeOgIGe3mRcjEevEpe9sfi98vd17OyAIys8Rrpecqnw+0NjvHHt6zzdaX2f203QCVkgKsWmvHz6WSytvuAH7+PByLwaZHbOE3SehsTrnc3BQIkJAN0QxIz5BLUMvn26Jo0mtc+19EOQGLlYyySVokUW4sWQof8dwdTWvh15gKMXeNZiyMt5a1p68dx9AR1ZwJDZmwiVKGD2LbZX+fcyRgOETA5JGzc0WJYgB292hYX6a/D/jVbtvoM+XO2MlRufmXpG+lLk42LpD1EPh8sk5Papps3LNz7UEbEm8fld/z/n45Hs7c4FtWAb//pVMv3mWn5ifqpyrdyCOhjbtmwplMeYV4XjuuoSOqyXAWMimdQwZ/zJQ7OAMpYgzbunDO7sAliDr2Tz8idl5a+3bCv/YBWblTkvWt2zv83NhzUfVOn1828FTt0yUAwYaU9PcCjUKsnGnw9JCY+1v/IerFW02Nznr5CIzCIDB34aUF1UX/PR60cJhm4nGTV5iCr61aeRNPJzF9Tm/PcFNSyjX/ebgpyVj1XbmZh3nn7a28c5YdZ12lp0+KzTxunZquM1Sl+5i7UH48uz8icob2Vp5sZQsFk5tgM1GZXvyuJ+THY8jJ2H4vrFcOASePwnrlEKzt93oqEKiNu2bCmUx5BVfdbwbrXCVKh3GVYTKjlZ4Bq6kR1qkTGDj9DqxTJ2A1NdqdqPdsi+5EvWebU50wTG6+d53PoRCsHZujDdOOzfQejLwC/ho5ebK2zJdXqBl9FsZpb+XPYYqUcxeJKqDKr+1S+WLtfloc8GHtfpo+RxUdltFMOJNam85kiF3kiWnJI9QF0JTpaI9OvHV3RqtFxlbqFJfAet/pcRvh61Kp4imfz5OdUoiluFQOIYWTlNJUrr5eUcLXOPwScM+20QvF+QLA+Y+d15qRaevLHH3VWZFz0y3AL15wXtOXl9v/c5kGFvXaAwOy/rtb5cupE2rH40Abd83EM4m16cjJl5Ufc911xb0UQBNhoZGP3lNrdhlBxE3peiurgD8dgaP6hcWwz5yGsblGrh6q2ytP5Trzvngqq7EBfjaBShpiXvOAfE09XUMTwYSwyb/+Mx0a41uzSW4ok16bVde4Dchm3j47HgfauGsmnImqTZcw3DzbOPCqk5jWgbts+eNpzFG5XuPwS3JXKVOw7Oul56chN5akbGqUj4MkfzOIl5yRyUNunbLuVXg83mj7GhAsUa98ycmTvX2XpLcq2rhrJoVJk1eYzF0DXMow2XWxLX9aunvVjwfvLTXIrDCFNRIBPKfAYAOyGcRQ0+MAlz4Y6Oe69ID4+THpCMptq+1GNOm4R2jjrplyjGcN/GTuGkYqwxS3/KdPykagoMhZzeLxQBe6m2BzaOct8uR1wzBNHRFWLcOOA3y26pn3nc8L9zWceZ93uipgHH1VzjsdfRVYslTpXAxt3DVTiomogZ+0XcMIE7ZEKYO6vbKBJSVzbiEFZdhuYtU64IXHnR2tK9bwc7FmJTY+1u8XNXWY90zLFJkkghvMoz91wjlgfKjuH2tJzB9EymACKsa0cddMLSZ5xOB47hriKQFV/rGnZ7jrqBBU4/fmUCXLqGUX2HxaFuIZHATaR98VjGCJs6EMAMouB84JVTRupKTISWOWa2D9ABBkBoZm4+Lqa8THe1kxpo27ZkoxmTXw475rcKllZ9DQSPn8KCMHwDZwfX20q5R5lyPe9yjn0Lqdh86nzZjh9IYB3iXKuoIlES7ANtIFRbIE88zLgMZzziqXVWudTkawxN59SLmAUIgvakza99wZu24/djC4h7kf3cSkmVJM6ojByeycZZAGKmPFGnGcHj75QD6Pi3fp2X27nYdVgcy+UqlBjMIGfH/0HoziWeI/GVdcJY4d9Ie7gGPf24wZ8msEArBqt0Q3ddVusQ0+a2Tq7ZabtzxEe+6aqcUkVrOM+65Btf0f0QngyGae4Z1EbElgHJfl1X27noftTtLS7Rh+zIBzozAoNyuVzpEbqxiDg7BuvElsoLJuvIlWuYjllvlFciI5FOKLGpP2tSyxecvL8KM27popxaTWwI9z52y85w8bmthmHhHWVeriCXt1327noQtFe+ulAefA8BQjVG+1veXRdqgyTRbDN9TEJDcrQUWFMSd39I/F0KK2eoPc4DSzVGzg0glVTVIzqTXw7xxzao57tWvweFcixXmNFWtgfXTacQ+ulSwe3bebh2w3RAm0tzpj8UP35VuzafQdqts2ybH7GZmuOwqlBDpLqJJKnfDkLanByTj8EizBuOuEqkYzXkia4x7h5a6EJS+N6q0wvvdD9dfw4L5dPWQ6bzZXTLS6ebBiyIReFHhIyPBFDRCJHFUIwFlu+dFp+TwDA/ZiSBZHKfRjFgbHPfyojbtGE6ZuryyI5WEc1LNdiUvyMuzxKp3Lg/t285D9rvNmBTkIVQ+W1bkz+V4A+Ph9Zwdry0VbmbHpgrPcknnuA/1OkbCIxdGT+a1xoI27RjPEZJZhquLltXp1rpFi917Nm5WMpWuugSWsWfnkqRPOksfGBr5QmCZdHM2qle5SBuOINu4azRCTKkWsiJfX6tm54jDUqh4sHUe4al2UNACAS12zrMuXjSqUxvgBdHwrDEM8brU2w4h3RKMHaOOu0YSZZFExJby8Vo+853hDDUqhKmIsI/XfHdfE7o+NKvQHAFPQpKEyvfJi4Fol5OWIRoI27hrNEJNZhqmKl9fqlffspSJl+HVihcNGiuuzblo6bCVCqgGA3SU6I8uOx48Ww7D/FzMMxLVKiCwUlodj9rRx12gimLQyzDjw8lq98J699DojF5BI4TAUFstPGEFSmA5bEbx91O2FpWLcLcvZXWqaQH0dsGKNXGbKulHbiAZPHGjjrtFolJiQxDNbQAYUdd5HQCnJ29Hm2k3sICz5IJWZZmaN+7AOrS2j0WiUmAj9H7pQsHJEFaM7Ar5giawtk5JKnuHSE8DKTMkEKqaDEw/ac9doNGrEmcxV6QalaphEq8XriiaxUYqVW2Zmyd2xZZfzRWpGJtDiF7t5vUIbd41Go0Q8yVxlOWW3QSG7nxIXFi+1+FWkHTCzFHj7LedJ0tL5C3S00+HcSno3LmjjrtFolFFO5iomYd3UMGnli0da/KrSDtaLT8kn6u3hMg4kjKSFwzQaTUIR1xSqpkbg1AkM9HTbWupNjUCwRE6C7qzxroLHbSESQk+uapjH35RfgwwA18JhGo1mSsJCI6pdsI7xdN2dQO0WhKq32kJcMUyIHENjAyCMMMQdd/McBDPu6elARqEWDtNoNFMf1zF7qklYNp5u1xPicI2JkGNA80Vn+WJzI1BfN6w9H7uo0STsVQsvSSNo4TCNRjOlGUGpUikJy8bTseMTIcfQLgzgBoB3j9MchJu+/ng3zGnjrtFoPGGk0IiSMWPj6WKldYeYCDkGa8t35Sf097mfi+jre1ndI6GNu0aj8QRPVTXZeLrVG+hTxluOIZSWLidC3UoeybmUS0PjYMwdqqZp4u///u+xfft2AEBnZycefvhhrF+/Hg8//DA6OzvHfJEajSYBqFpphy8iiTM04l9QAVRvtbVkZmTZ/yXJ1Alj7kK14264VeR4xJg999/97ncoKytDT49dt3ngwAFUVFRg2bJlOHDgAA4cOIDbb799zBeq0WimNl6raobH0xWNZjD4BGCsWGPPPZU04xWZCH2eMRn3pqYmvP7667j11lvxm9/8BgBw5MgRPPTQQwCApUuX4qGHHtLGXaOZJkxVVU3V+DbVqyea8cowFcsR1C1VGJNx37VrF26//fZhrx0A2trakJ+fDwDIz89He3u7+Nz6+nrU19cDALZv346ioqK4ryMQCIzp+YmKvu/phb7v+BhsOIvWJ/4BofOfALDj2/4PTiHvoScQKClVejzyC9CVloZQSgr8aWnIzC9AII5ra0lNhTAOBKmpqcgfOt9Y7ztu4/7aa68hNzcX5eXlOHbsmPLzKysrUVlZOfz3WLZdU2XbNtHo+55e6Pt2h3rbu56CNWSow4TOf4LmXU/Zw8Rjz0Me3/Tcj6NG4w0A6D3xFow4kqAhUlbZ3942fK+jue/SUufiFCZu437y5Em8+uqreOONN9Df34+enh48+eSTyM3NRUtLC/Lz89HS0oKcnJx4X0Kj0WhGhVv1iWp8eyJG403EvN64jftXv/pVfPWrXwUAHDt2DL/+9a+xfv167NmzB4cOHcKyZctw6NAhLF682LOL1Wg0GhG36hPF+DbtUCXElQSdgHm9ng/rWLZsGd566y2sX78eb731FpYtW+b1S2g0Gk0UnlafsJLO8vniw+PxttlAkCnXxPSpT30Kn/rUpwAA2dnZ2LJlixen1Wg0mtHh5p2zKU3kuKuscETMHYDn3raX6A5VjUaT3MRRdkgHasdRxy8legHv9OcZ2rhrNJrEx80797B2XBWW6EXpHO/05wnauGs0moTHdWAGi7srDtWOSw+GJXq7ZFkW68I5pWtyw/OEqkaj0Uw4Lro2LOGpnAiNQw+GLixMSbK9Ve2aXNCeu0ajSXjcdG1Mj8oO46nIoWWVKamywiSRNI4Hbdw1Gk1SwJKgvmAJQqvW2VOcurtsA7pqnXLiMq7GI7awDAzIevVsGEkc6LCMRqNJaszGBmD3U0DTBdugNl0Adj9lH1chDkljVs+O/EL5CTl5atfkgvbcNRpNUkCVH91i5QqVKfFKGovDOopnwXr/HcdjjeJZo76ekdDGXaPRJDxeasu44Zmk8QTID2jjrtFoEh8X73wiRLpU8XqwiYQ27hqNJuFx886Nr68bdy85HsZ7sIk27hqNJuFx884nwkueimjjrtFoEp8RYtiqXrLqWL6piDbuGo0m4fHSO49LZmAKoo27RqNJCjyLYXtUOjnZ6CYmjUajicDTwR+TiDbuGo1GE4FnQmOTjDbuGo1GE0kcMgNTER1z12g0mgiSpXRSG3eNRqOJYbwbjCYCHZbRaDSaJEQbd41Go0lCtHHXaDSaJEQbd41Go0lCtHHXaDSaJMSwLEuc36rRaDSaxCUpPPf77rtvsi9hUtD3Pb3Q9z29GOt9J4Vx12g0Gk002rhrNBpNEpIUxr2ysnKyL2FS0Pc9vdD3Pb0Y633rhKpGo9EkIUnhuWs0Go0mGm3cNRqNJglJaFXIN998Ey+88AJM08QXv/hFLFu2bLIvaVx49tln8frrryM3Nxc1NTUAgM7OTtTW1qKxsRHBYBDV1dXIysqa5Cv1losXL+KZZ55Ba2srDMNAZWUl/uqv/irp772/vx8/+MEPMDg4iFAohM985jNYvnx50t93GNM0cd9996GgoAD33XfftLnv7373u0hPT4fP54Pf78f27dvHdu9WghIKhay1a9daDQ0N1sDAgHXPPfdYZ86cmezLGheOHTtmvffee9bGjRuHj+3Zs8fav3+/ZVmWtX//fmvPnj2TdHXjR3Nzs/Xee+9ZlmVZ3d3d1vr1660zZ84k/b2bpmn19PRYlmVZAwMD1ve//33r5MmTSX/fYX79619bjz/+uPWjH/3Isqzp8V23LMu66667rLa2tqhjY7n3hA3LnDp1CiUlJZg5cyYCgQBuuOEGHDlyZLIva1xYtGiRY7U+cuQIli5dCgBYunRpUt57fn4+ysvLAQAZGRkoKytDc3Nz0t+7YRhIT08HAIRCIYRCIRiGkfT3DQBNTU14/fXX8cUvfnH42HS4b8ZY7j1hwzLNzc0oLCwc/ruwsBDvvvvuJF7RxNLW1ob8/HwAthFsb2+f5CsaXy5cuID3338fc+fOnRb3bpom7r33XjQ0NOAv//IvMW/evGlx37t27cLtt9+Onp6e4WPT4b7DbNu2DQDwpS99CZWVlWO694Q17pZQwWkYxiRciWa86e3tRU1NDVavXo0ZM2ZM9uVMCD6fD48++ii6urqwY8cOfPTRR5N9SePOa6+9htzcXJSXl+PYsWOTfTkTzsMPP4yCggK0tbXhkUceQWlp6ZjOl7DGvbCwEE1NTcN/NzU1Da9w04Hc3Fy0tLQgPz8fLS0tyMnJmexLGhcGBwdRU1ODz33uc1iyZAmA6XPvAJCZmYlFixbhzTffTPr7PnnyJF599VW88cYb6O/vR09PD5588smkv+8wBQUFAOzv9+LFi3Hq1Kkx3XvCxtyvuuoqnDt3DhcuXMDg4CBefvllXH/99ZN9WRPG9ddfj0OHDgEADh06hMWLF0/yFXmPZVl47rnnUFZWhptvvnn4eLLfe3t7O7q6ugDYlTNHjx5FWVlZ0t/3V7/6VTz33HN45plncPfdd+Oaa67B+vXrk/6+AXt3Gg5F9fb24q233sKcOXPGdO8J3aH6+uuv48UXX4RpmvjCF76AW2+9dbIvaVx4/PHHcfz4cXR0dCA3NxfLly/H4sWLUVtbi4sXL6KoqAgbN25MuvKwt99+G1u2bMGcOXOGQ25f+cpXMG/evKS+9w8//BDPPPMMTNOEZVn47Gc/i9tuuw0dHR1Jfd+RHDt2DL/+9a9x3333TYv7Pn/+PHbs2AHATqLfeOONuPXWW8d07wlt3DUajUYjk7BhGY1Go9FwtHHXaDSaJEQbd41Go0lCtHHXaDSaJEQbd41Go0lCtHHXaDSaJEQbd41Go0lC/n/Ap46m6F4muAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5ba92447",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 63.52919655,  36.32826112, 101.05031309,  71.93613431,\n",
       "        69.04058494, 100.69738156,  85.40255092,  93.99967828,\n",
       "        67.45158859,  90.61003855,  65.3370115 ,  94.27222089,\n",
       "        91.55804915,  90.83635358,  93.57511263,  90.69544406,\n",
       "        87.46335153,  75.27209651, 104.00151214,  77.62025669,\n",
       "        90.27407459, 100.79638516,  72.87810647, 100.06385255,\n",
       "        92.37164396,  79.44966082,  74.90045465,  71.90671684,\n",
       "        67.91614867, 104.78006858,  56.90338045, 106.82889558,\n",
       "        64.80795903,  58.25680598,  74.99708937,  68.03446015,\n",
       "        53.15792898,  93.22440634,  58.66071037,  73.71426829,\n",
       "        87.41153792,  79.90830409,  66.32992812,  73.95253363,\n",
       "        85.6368802 ,  97.21752327, 110.62283057,  57.12298102,\n",
       "        72.39418333,  71.41232634,  52.1657567 ,  75.47221352,\n",
       "        97.99301601,  63.7020378 ,  85.96664741,  94.49482235,\n",
       "        70.76890645,  81.65637531, 109.51768695,  47.54269031,\n",
       "        96.44028431,  67.57419135,  79.56064546,  75.08542324,\n",
       "        88.59500671,  67.09826791,  64.21724441,  76.65018691,\n",
       "        65.86428488,  85.52761511,  45.99557984,  92.30177269,\n",
       "        86.13903142,  72.65921602,  71.83173722,  68.75387021,\n",
       "        86.62166587,  99.67909629,  49.71104334,  79.67108661,\n",
       "       106.80458207,  62.2001227 ,  72.76110654,  75.13121299,\n",
       "       101.4597972 ,  76.09064185,  69.82342086,  85.52546237,\n",
       "        63.22133845,  56.06235452,  70.95940323,  57.52224591,\n",
       "        57.27744439,  78.37558993,  68.60804944,  67.11566709,\n",
       "       104.40886152,  82.42818823,  51.19658518,  66.99123751,\n",
       "       104.89415119,  39.07744498,  77.73683511,  98.0367051 ,\n",
       "        68.83898148, 113.42600399,  52.79682702,  88.63103182,\n",
       "        71.98587726,  77.49805527, 101.97200327,  97.64043596,\n",
       "        59.24590287, 103.84481089,  85.02535986,  51.06934068,\n",
       "       101.74232354,  84.34920897,  54.4349522 ,  85.25260294,\n",
       "       113.24680272,  90.62711656,  79.10088048,  75.66818192,\n",
       "        62.50447469,  88.82472983,  82.99305884,  78.06896638,\n",
       "        70.59762803,  90.6981942 ,  80.7825804 ,  56.32851954,\n",
       "       101.98530061,  80.2210495 ,  33.47609342,  83.86431971,\n",
       "        95.96764544,  51.69966395,  78.52567614,  90.33939669,\n",
       "        62.81414211,  37.04409181,  75.04778916,  68.46884322,\n",
       "        65.03398439,  38.22167247,  78.21199913,  77.22315625,\n",
       "        82.26189418,  70.56893097, 112.34988237,  88.63114882,\n",
       "        84.86149434,  65.95610659, 108.43800897,  93.01258286,\n",
       "        91.74529766, 106.55376468,  61.51434693,  65.014585  ,\n",
       "        42.96744169,  67.30314379, 102.78396702,  72.57114807,\n",
       "        61.06271122,  88.63014233,  67.33713187,  92.29088994,\n",
       "        84.21548754,  89.69937916,  90.6786498 ,  62.2220106 ,\n",
       "        64.53146785,  95.83236725,  60.56466055,  64.62958021,\n",
       "       100.17478732,  86.68075432,  82.6395822 ,  81.18716606,\n",
       "        77.47240599,  65.68868664,  56.6900618 ,  62.07793538,\n",
       "       102.30457102,  88.37279274,  95.5701267 ,  53.19653116,\n",
       "        73.22085845,  95.31611923,  70.12781738,  65.45725085,\n",
       "        80.54990622,  65.61389859,  67.57760437,  95.83403972,\n",
       "        88.5256971 ,  71.23544986,  54.02225448,  54.71410019,\n",
       "        60.20811892, 122.32940069,  52.18632369,  91.25628576,\n",
       "        64.83427792,  47.73275836,  49.10847564,  36.18389223,\n",
       "        55.72543192,  55.08228198,  66.18230846,  93.86037662,\n",
       "        80.41542579,  39.20375387,  51.50729989,  78.61281257,\n",
       "       108.82923867,  64.30637138,  77.39129487,  71.74097525,\n",
       "        88.54249841,  69.71378758,  74.22001998,  64.47981139,\n",
       "        76.4323635 ,  91.62058275,  53.02607979,  55.33325576,\n",
       "        51.02004392,  66.49139053, 110.28952499, 105.6712873 ,\n",
       "        73.54992708, 101.76163389,  88.96596462,  73.78852572,\n",
       "       102.89095045,  86.62240531, 103.47661213,  51.41870899,\n",
       "        70.21743926,  39.68242764,  75.46036744,  91.96477626,\n",
       "        88.70067671,  86.13698616,  52.10848497, 110.08919022,\n",
       "        67.75721717,  84.27932609,  52.5859119 ,  75.49342675,\n",
       "        87.24489263, 103.99677297,  76.31252317,  82.50959194,\n",
       "        69.30167823, 100.41706401,  99.10548217,  51.24157463,\n",
       "        88.93280176,  49.09324648,  88.58168688,  56.04332859,\n",
       "        78.16083598,  72.4562671 ,  77.96722753,  78.65834663,\n",
       "       101.38895683,  97.4254935 , 112.82054146,  93.20268276,\n",
       "        58.58681139,  88.74344998,  62.66534518,  69.08193673,\n",
       "        51.11994274,  91.15652452,  58.94341592,  81.99427811,\n",
       "        49.67391604,  65.65661237,  66.77739755,  84.91876813,\n",
       "        78.6196129 ,  89.93278303,  70.09857718,  86.27351843,\n",
       "        62.33431983,  91.02537001,  86.20517856,  77.0487345 ,\n",
       "       104.20056158,  75.45104905,  86.23158832,  62.18177603,\n",
       "        80.95750754, 106.82535456,  59.80664741,  63.52196505,\n",
       "        72.76407471,  90.31011304,  82.01620845,  70.07919296,\n",
       "        69.25901069,  70.74354266,  84.69354788,  88.1899096 ,\n",
       "        58.0587789 ,  70.44525443,  62.61437963,  87.13519552,\n",
       "        58.93721292,  30.46577867,  79.3880829 ,  84.15511209,\n",
       "        66.4688864 ,  80.20573757,  69.15359343,  85.67969943,\n",
       "       100.00016059,  75.06908833,  79.99856865,  78.88044434,\n",
       "        61.13003321,  71.23186828,  52.05030526,  58.9690755 ,\n",
       "        53.26685185,  84.29299413,  57.76532547,  46.28900774,\n",
       "        81.55974124, 110.92190899,  80.387929  ,  68.94204001,\n",
       "        76.65270618,  54.10204873,  78.05839658,  89.90547012,\n",
       "        60.26539007, 104.54235651,  76.36424307,  87.87719997,\n",
       "        82.3830277 ,  76.26255766,  55.16006194,  98.85815995,\n",
       "        67.70120352,  47.52377936,  59.81284814,  80.09299759,\n",
       "       110.75951368,  51.66707392,  43.95235   , 113.27052332,\n",
       "        48.23380418,  73.11072972,  78.72319338,  69.9179167 ,\n",
       "        49.97153346,  68.81821708,  59.2764643 ,  48.48870752,\n",
       "        50.92625321,  70.49208112,  66.0626754 ,  61.63280322,\n",
       "        80.80196948,  79.29265399,  58.50372498,  90.64228714,\n",
       "        73.32946281,  71.03479479,  74.79388359,  46.64206525,\n",
       "        77.23742457,  98.60972207, 104.66442078,  84.38280772,\n",
       "        42.34008757,  86.52015825, 109.33250347,  81.28417578,\n",
       "        81.95731222,  76.98035086, 105.26726196,  63.34913823,\n",
       "        58.5795828 ,  92.24370483,  94.52420695,  56.26088154,\n",
       "        71.29658103,  62.12686079,  56.55305039,  44.74895628,\n",
       "        84.81319154,  63.76529837,  65.74248238,  60.95498716,\n",
       "       102.65556245,  83.4958141 ,  75.70141814,  66.26282059,\n",
       "        73.02167436,  67.09634933,  69.58048329,  63.65262254,\n",
       "        75.86491183,  80.15039123,  89.30999062,  61.30105889,\n",
       "        57.86291124,  91.12102869, 102.02603216,  68.36179385,\n",
       "        87.21926413,  48.47846471,  90.76166849,  59.78895055,\n",
       "       102.46961634,  78.89073018,  81.02276135,  72.19529336,\n",
       "        42.77541347,  77.69020134,  74.82307792,  86.30339014,\n",
       "        87.60564547,  79.53336678,  61.71935903,  79.74759786,\n",
       "       114.09361342, 108.03929774,  62.64956885,  65.9418407 ,\n",
       "        94.37603307,  92.27000747,  87.36526733,  38.70579593,\n",
       "        60.76539274, 109.46848963,  81.96599854,  69.541529  ,\n",
       "        78.67938822,  74.19131422,  97.68140866,  63.47498303,\n",
       "        88.25164492,  47.58676755,  79.96593684,  60.97818541,\n",
       "        94.15575689,  79.66289941,  49.09941799,  96.21452761,\n",
       "        62.34208099,  93.25597771,  71.19107425,  60.17308647,\n",
       "        84.48901621,  94.74813966,  72.39503   ,  87.7964088 ,\n",
       "        79.61698739,  57.90604948,  81.79034723,  70.21567743,\n",
       "        69.64188745,  56.45092308,  86.30972651,  93.57507928,\n",
       "       107.98573726,  80.82351855,  65.51147647,  67.45587207,\n",
       "        96.15844467,  78.82353808,  76.78722536,  71.09189538,\n",
       "        70.72045962,  91.77864345,  90.84767527,  98.98296579,\n",
       "        82.64465963,  65.819567  ,  78.51472104,  90.06197333,\n",
       "        63.47334639, 104.61207675,  60.6823212 ,  95.76148623,\n",
       "        62.82966679,  75.92186959,  87.23457535,  66.79886989,\n",
       "        75.89438281,  80.97427373,  90.74091439,  56.61260303,\n",
       "        49.00424864,  74.36732466,  95.16387618,  64.39667576,\n",
       "        56.91731157,  72.83816599,  89.22740055,  66.85772946,\n",
       "        86.2439476 ,  69.13222204,  66.24619318,  69.84705509,\n",
       "        59.26871418,  59.44002427,  76.05550133,  54.36030095,\n",
       "       112.13800748,  84.21313296,  60.88157774,  94.77762416,\n",
       "        47.83360082,  62.09771377,  73.78477584,  58.33279424,\n",
       "        79.14991483,  90.37875739,  55.84509153,  84.05847317,\n",
       "        44.78127097,  93.24671267, 101.0050367 ,  76.95441891,\n",
       "        96.1318452 ,  66.85231405, 104.65139122, 101.13161919,\n",
       "        80.8786907 ,  74.48811442, 105.26464561,  92.0098813 ,\n",
       "        98.23170273,  78.7469505 ,  96.65828674,  46.60875767,\n",
       "        67.95525017,  70.96827093,  78.716634  ,  68.64662227,\n",
       "        54.08247852,  61.9700541 ,  83.97253494,  64.08905658,\n",
       "       105.45008374,  99.45072687,  57.2519065 ,  61.46275128,\n",
       "        79.26583299,  70.82542364,  86.37701744,  54.39253936,\n",
       "        50.18560234,  97.89907997,  51.76812467,  78.38644517,\n",
       "        65.10228544,  60.33736762,  62.61254642,  62.60561915,\n",
       "        92.50077487,  68.1876344 ,  72.4845713 ,  83.64361937,\n",
       "        97.45390183,  71.76385069, 117.33493164,  80.01175543,\n",
       "        96.67153278,  90.52648342, 107.88309029,  89.04544741,\n",
       "        90.31017677, 102.58378642,  87.70923434, 102.4007171 ,\n",
       "       103.28927235,  87.20316683,  88.9223294 ,  63.49591233,\n",
       "        64.03373018, 103.49922272,  95.29836343,  75.63320722,\n",
       "        73.14674947, 104.92779742,  72.09252445,  94.65997433,\n",
       "        68.87838258,  86.26458859,  72.86016269, 116.74036813,\n",
       "        69.31261646,  52.74929928,  48.63653096,  54.50713048,\n",
       "        79.60564283,  77.15921734,  90.36583041, 106.86190949,\n",
       "        81.87748061,  79.64999478,  65.66590335,  66.14636598,\n",
       "        73.34219433,  62.90643344,  94.70897709,  36.24943878,\n",
       "        78.56289354,  43.88763674,  59.04256614,  80.43047892,\n",
       "        81.58231158,  96.00326837,  66.14496495,  51.73308309,\n",
       "        61.32068903,  78.88130153,  60.4493278 ,  78.7641151 ,\n",
       "        67.4060834 ,  67.83999825,  99.61855815,  97.00029159,\n",
       "        56.74466854,  91.31481234,  88.12352776,  68.24282206,\n",
       "        66.12713512,  49.93734779,  79.50673839,  70.56668678,\n",
       "        62.77314795,  79.45813159,  71.0830805 ,  84.7150112 ,\n",
       "        87.19044485,  42.93080258,  95.3779906 ,  77.75003309,\n",
       "        70.30886683,  46.87900335,  73.28201812, 101.82168548,\n",
       "        49.46317341,  84.52472031,  76.71888037,  78.65247707,\n",
       "        92.52692941,  76.31725604,  55.85526333,  50.88744339,\n",
       "        61.03180115,  96.98842117,  76.38327878,  88.60003737,\n",
       "        86.94838815,  72.3201244 ,  72.31128531,  79.18974819,\n",
       "        63.27935738,  56.35306669,  83.45124561, 104.0889914 ,\n",
       "        91.81932591,  54.71601141,  63.44419257,  71.29160526,\n",
       "        62.61938504,  84.08120649, 107.50497369, 111.90016869,\n",
       "        53.39813171,  58.66552033,  76.0582454 ,  93.06617537,\n",
       "        88.47544862,  59.29957368,  44.34508391,  87.31666773,\n",
       "        93.20266556,  64.05231607, 106.35808352,  54.82802912,\n",
       "        71.2767603 ,  58.04386308, 101.02114696,  82.85099268,\n",
       "        91.11365746,  76.05431866,  94.17064953,  73.67425984,\n",
       "        84.01860125,  67.26542977,  62.62299764,  77.31689982,\n",
       "        78.62498423,  72.84306955,  83.0898385 ,  82.53638708,\n",
       "        34.49888624,  56.51865047,  75.27504899,  68.44999655,\n",
       "        67.1242986 ,  84.35602323,  85.32677909,  73.91840149,\n",
       "        66.65538198,  42.45858631,  72.70022419,  58.15522661,\n",
       "        84.37036192,  70.79152495,  77.71606278,  88.68255496,\n",
       "       113.67977386,  73.13389585,  68.24409011,  70.68950609,\n",
       "        80.36472758,  95.63160005,  78.89334365, 104.71535625,\n",
       "        44.40393001,  70.06638098,  51.3134725 ,  86.15933354,\n",
       "       113.28028575,  88.84704736,  86.37216158, 104.13591872,\n",
       "        84.54192126,  82.3633905 ,  61.84008235,  68.90937298,\n",
       "        86.78049621,  65.23526634,  91.51271636,  75.3662463 ,\n",
       "        74.8213118 ,  35.42432985,  71.80719091, 100.9356106 ,\n",
       "        62.49983502,  40.99019928,  68.61872261,  83.61374711,\n",
       "        60.59664067,  73.48745192, 103.69496953,  84.93570929,\n",
       "       101.19768374,  95.75534318, 101.29668977,  81.86877725,\n",
       "        73.23866794,  89.85530366,  55.99753725,  64.80624287,\n",
       "        64.48777293,  55.02988788,  46.27706176,  87.02813331,\n",
       "        93.13463699,  70.61534275,  83.79958786,  63.41266991,\n",
       "        84.98227577,  76.85503966,  82.95704868,  75.11083151,\n",
       "        65.13754051,  61.3821757 ,  69.06204336,  64.79661156,\n",
       "        82.67594216,  88.04365763,  76.09515306,  65.99781788,\n",
       "        58.78178452,  63.54493639,  84.21117354,  76.93342178,\n",
       "        75.93463182,  83.17540103,  63.3000218 , 105.74384688,\n",
       "        96.3559873 ,  67.8759751 ,  90.24283659,  82.1974631 ,\n",
       "        89.3614066 ,  49.73117468,  74.41539582,  62.9889187 ,\n",
       "        63.16589199,  98.98819606,  59.88109292,  84.78242141,\n",
       "        83.83573469,  86.41741603,  67.48790691,  37.88009367,\n",
       "        67.36749134,  54.91171807,  78.66321629,  78.07404183,\n",
       "        99.50057242,  65.94506218,  86.20881709,  89.69367778,\n",
       "        75.73763792,  80.76352236,  76.503679  , 101.20767727,\n",
       "       100.56223812,  56.27390994,  52.13739126, 107.14019778,\n",
       "        83.89347061,  87.57893451,  75.00176222,  78.80609346,\n",
       "        83.03043036,  53.09200097,  70.08986639,  88.78113155,\n",
       "        77.24793062,  65.33056096,  92.89873109,  99.05023328,\n",
       "        80.63274317,  78.42965102,  83.78044864,  46.83122804,\n",
       "       108.20755581,  64.45295915,  79.65428921,  68.87466583,\n",
       "        65.07991979,  68.23361007,  62.91329026,  82.91555161,\n",
       "        69.80795727,  58.77547028,  94.51168484,  45.8764971 ,\n",
       "        60.48578706,  91.18070705,  59.40128129,  32.6405102 ,\n",
       "        75.19407951,  96.26759796,  56.9157403 ,  78.14095978,\n",
       "        92.82707059,  58.6480255 ,  89.7357312 ,  35.55698783,\n",
       "        90.64601327,  48.81355583,  97.16913074,  89.4878962 ,\n",
       "        61.98886671, 104.54988472,  83.62911255,  62.34384419,\n",
       "        58.72751772,  77.95664477,  77.85699839,  95.63207394,\n",
       "        91.53665379,  87.51649592, 101.25070965,  79.58835657,\n",
       "        81.00758127,  46.04614369,  56.59698357,  71.74497725,\n",
       "       103.19162442,  53.07827359,  93.74147828,  76.75354406,\n",
       "        86.86604877,  70.17170862,  51.13053809,  66.92251265,\n",
       "        84.52406749,  78.20714984,  52.69167021,  64.90822189,\n",
       "        60.5828033 ,  99.55885879, 112.98023126,  83.96211728,\n",
       "        82.09316021,  62.53858664,  61.37593408,  64.31258369,\n",
       "        55.19600266,  72.64720739,  88.90198534,  72.8261954 ,\n",
       "        91.95459083,  73.7374249 ,  53.15174332,  59.52359481,\n",
       "        87.05661963,  80.82472892,  47.86490265,  75.97841428,\n",
       "        49.13720168,  65.06213311,  65.62298273,  65.13049743,\n",
       "        87.16646328,  79.87004796,  53.64623111,  51.50986822,\n",
       "        81.28068348,  67.73627364,  70.34664486,  75.57922543,\n",
       "        77.31727939,  56.54077023,  84.85173737,  56.5686089 ,\n",
       "        85.60639316,  71.45488861, 101.82881834, 106.43032736,\n",
       "        77.62566398,  64.37440475, 105.72441698,  85.5578418 ,\n",
       "        75.61940686,  60.21240582,  89.15247058,  71.92564714,\n",
       "        71.0539318 ,  51.69041675,  84.68345295,  67.59791836,\n",
       "        89.86646108,  91.84597939,  63.5451117 ,  64.1473535 ,\n",
       "        79.39830251,  75.79516118, 102.8933842 ,  97.6480073 ,\n",
       "        60.27832164,  97.55052643,  56.12491645,  63.4328833 ,\n",
       "        98.58925078,  64.99516696,  70.97234345,  80.33633493,\n",
       "        71.48134173,  87.64697362,  86.32402773, 100.83287752,\n",
       "        68.88510036,  74.19855475,  95.42351388,  54.39382527,\n",
       "        87.753273  ,  81.23917459,  90.43889303,  72.58144241,\n",
       "        82.92572358,  69.55438492,  88.32455461,  79.09671522,\n",
       "        75.94709722,  76.44200783, 103.87640739,  62.00524612,\n",
       "        60.33996221, 101.06583865,  42.14291888, 101.70377451,\n",
       "        57.38369558,  53.62914488,  43.70894495, 110.81708913,\n",
       "        86.65804173, 110.19782116,  53.71988367, 105.02819625])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "edb26ee9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.        , 0.01291696],\n",
       "       [0.01291696, 1.        ]])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x=np.random.randint(0,50,1000)\n",
    "y=np.random.randint(0,50,1000)\n",
    "np.corrcoef(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "406bec5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lyzA2NgYA6O3tRUNDA9ra2tDb24ve3l5s3LhRpVGF4Jq9cw9X+DIF4pTl6xCD1k9tL33IPFSiOd7cQ1Lk+FkOusymgytaYBljWeaBVoIS7bmjgUgqlHPnzuH48eNoaWmZujYwMIDm5rxGtrm5GQMDAyoNKoTI7H2dW/N9zaQKZJKCpjXmNnVuUzOtl8TBbq9mH1KHQVrXxZbYgErUQfbHpi3GtqJzG90uxTFXg6QPmZgy0ipKAoGWteY+bOswz4OGRr0EJYpzx+tBnr1796K9vR1jY2N47bXXsHPnTnR2duLAgQNT9zzyyCN46aWXQivUOMijeWCHe7+qaVSEw0JRN2+50ObzOAdaJLxgEhM6SA7NRFGhuBpzTbhoU+GYk1w3YYyVOXJYND9cJ+qI8oxTDvwXv/gFqqursXz5cpw4cSLs9hno6+tDX18fAGDPnj2oq6uL/OzwpYswMVtVly6i1lZOXR1w59PRG8m4X9wmbll33g3c+TSqqqowPj4uaqu4biKOKO3VqruqqmraXKGewdhlYx3W8ZD0oeGZ4e8K+qNpdf5/ljpcjbkqHLSpcMxPE+OKscu4ydCHwz/+gWx+OFwroj5TPNc5CF3AT548iWPHjuGXv/wlrl69irGxMTz//POorq7GyMgIampqMDIygiVLlhifb21tRWtr69SfoyhJJpFbuNh4fXzhYlY5U+VpHAMPaZNmWUB09Y0tPm7dZ979lbmflMZDEjf1DOYvAC6PltwmQPDLzdH8LP4C14Jm0gHXX+DUuGL+AuP8hIf54QpOv8AfeughPPTQQwCAEydO4LXXXsPWrVtx8OBB9Pf3o62tDf39/Vi5cqWg6SFQPBiglowg5ICIS8MlSXyqCSuUxkMSN/UMWtYakwVw+1CUnMHR/Cw0btMy/peYdVF1qyayoNC5bXoyCSA/3u0dPGMx5QNrSYP4KH1bWxvefvttbN26FW+//Tba2toUm5VHxYTgPbOqGfPuvgeZVc1WYb4VxSJ/IP/nA/vM13/4ndA24faG6W2i6iDKyhw5PH2CAkAum7/OBbNuKo7MkcNkOdbYGZDETT2Dn7yq04fM/gNC5gIXgvrVyufW7bqtQH5foGt3nsOevzD/367dyAweM9adOXLYOBaVdzTojVECwTpK/4lPfAKf+MQnAACLFy9Gd3e3k0YVwmT2LoGmzlYrqYKmRlRSlsQsSMOYR1NP6yuZBAUtoyLXeuFY9e9CmIy0sj/6d7JuyqzLpZlU3Ei2F4oFSUtGIEmqoKkR1SrLh8Y3Sj/5TmocFrem7YCGJtlWVjklIgGu671PF9knmODr3EYSlT8mlOUCrspXKiUjkCRV0EwIoMan+zIkCumnYh6YO37cpMa2/tPifG3laCWgoPZ0bMkyMstvjy2hcnBuaDrXfXk0nzh5gv6YAeb8lIydF45fCWXphaKtD9fUgbtM6GCDj6TGmpCY9WslNtBM6KCVtJlbB1cXb/NhqdzzotNkINaEER+8S+q9K4kcmq7Pbfj2R5q1CR0oaPOVWokeqLK0EjqU0i4OfHCGmvy7hvG/Ki/PvF/VS4ObiHjifpfJQKzXqfZS16H7vmo9ExcSv4CbOFFfXgwS/i97tB94+YX8CzNvHrBpC5sbL/yq1PCA0dT4urSm1eShtX0uqL+znazUqoNTFjsRsSXhsNa+gy3u4Oxpc3sFiZBNYyGZU77WFw0kegGntLFcDq7UuoFovHX2aD/w4t7r16/+GXhxL4IHNuQ1rMXtbWgMTTgcWRMs0HVzNb6AWS8sSpDMiEGisedypZLEtFPjN/nM2CUrfxs0NJI8NKpreXNasqdDJcugoLTvYN3rKebAo7TLgCnvlKKxCNY/wt7b8JKsWgmJ5sDj9MWW+H5kH/sH81dORcV0A/pJUHylYsJhH1yw5niQfiASLtPx3kaw9wkWf2vz9+AmbbbFJ8kGREFr38G210Ml8eBA4hMO0PsOHG+fUjFrOfA4PZJtPBjJW1M8o2nxBtj8n4Tj98EFa44HpfvX0rlTEO1tcPlby3XN+KjrVIJiG7T2HWx7PZPt4thGzICyT7iPZNUaSPQCHqdHsogHo3hG6guc4iuF8WnweRKeNrHjoVi+8YvTNn4mWO6Pm3f1sYcRVnfU/R4jhH7xWn0el25cfJTeC+L0SJb4+H66xXx95d/z4mgnvI0tHL+WV7c17nIbD6Xyqb6lxonkbylP8/YO9/FZoOZxL4hB5PlvQuc281hs2sKfz8w+18wRwEWiOXAgXo9kbh0kB/6RjyKz61+daZgBPa/usLhdqlAKYfo57XrMydhsOuamNZF55ag8uys3QgpxniHQrJvi+DVdGF3EMGs5cIDmROPSKltBceDXrjnVMNv+TsLn2eLW0NJL4boOiccNh1eOyrOX6vvDRZxnCDTrpsZCMp85iFM3nvgFnOLHXP+rGqVNM8qnOPB581hlSbhETR24BBKFgwkqfKgQWh43Wtr0sHZpQdIuary5X8Giug1nLSonVCWukTTdeKIXcEoHbtMdAzxv41LaNKPuTVum68AnsWkLqyyRzl1JBy4BpcEl/SwIuPbEjlo3UJrHjab/uxdfDqZmnhzv9Y9M92afvL55+zQL2lI85qmzFlnA+SKu+r4qIdmbmBIP7xh9lStXNed/jn3ko0CmIv/fR79ITyyqrEMH2R7XEn9vNRzYZ/bqPrCPV44Hn2lJ3Vp9K/J/99AnbF9zary//23z9ZdfiNS3kTz/X36Bd10Tiu+rFhL9Ba6pA9fio8L4rspVzUDELwFtnbsWn86GwM/ChDi5RG2PG43r0mckYHHB1LhS5x1CtNgs7t+yz+QacZ5LoZDoBVyqA3fpFyz16+D4NGjqqiX8XBTv5sI4bPpmH32roYzxse+gXQcX1nHl8MrUeFPnHUK02Kx9D8s+k2uFVJznUigkegEX+T0Abv2CBX4d2WIfikmfhs3b3efxY3KMLO/miThQzH0C1vyFqn1L7Idw/Vk083RSHjcSjw2rfwoD1nH97Uker0zlq7z/vwOvvzLz/rYO4Kc/Ch3XSPse1D5Tm3muqfn0gB5vtHfMpFc8afhnpQ7cuV8wUy9s82LOfPEp61eDhiZYqz9s3s3o3DbzF8aRw+K+jeqFouUno+kbbas7iia/UBds80+h/LI5bc2sakbwy/9Lnl+o3P89Y3nGX5SW8abilvS70fFz8Jh7nx7FsxaFSHXgxDNRoOlBQT5j8WIO01VraILV+sPCdXPzF4a1NaoXipafjCY/baub7bHhY39BwCtr5auU9Ltpnyn7c2LDUJGf1jxroYXEL+CudcGaHCPJkVm8mJOm0ZZ6N8eV81PiJyNpK+cZVU6U67fCbGvmY7UILLwyhxuX6OVda+x97SelXigGqPkkWBA0rWH7jpCgvBU2bTH7NExwxC49FKY0u+fO5CfyuTN5be57g8b7rf1B+U0QcQS3rjDXweRvAfB9WCg/mYZGc1sbGsm42T4zmt4wVJ8TfisiTxzinAI+3ZLnm6/+GQhy17lxE1UBkGMUNK0h5zk534hxIt8NDz49am1VRKI5cB+56bTrYKlQInDEJVlsgs+hhvUHJ46wPIw2cLxQNPI5Wnlr8H2jS/kiK46d8wtKytOavrTx8gtsbpztEw49j3nXKhRX+QlmLQfuQwOrXQfHi1nCEbOhzBFz4gjLw8iFhp+Mpge7jfvU9G3R8luxenKbeOVv9ZgrsXDjamcRBOPh2qcn1YEzoe0xoMXTailgvHgoWDhU1zkEbdx/mJfGaUN2FpecqPRsgZYHDABr7CY49+UQePuYENampGmrKSRRB55oDlzTI5nkBi3cJ6ec3NApti+wKv9OgeJQW9YaufGgoZHti03yq22E//Wqe828/H+8ev365dFpfD3bc5maO5SHd8taeiwobndS7x1xf8GGaXsVRbGboDWfraDGj7pOwfIeU+8A2jti80enkMS2JnoBZ/sk2KDlY2DzpmD6Voi8MZiovKMB6Nqd5+nmL8z/t2s38JNXzb4Vhw7SvhhEfJkjh81eIb9/39yovh/yvDQO7GP3LelfMnjMXAfRH5kjh8myqLnD9oAB+H4yHnw5qPEjx5WAzWuFfAcGj/H8WTwgiW1NNIUC6OmhtfgrH34W2tyZkbe2cMEiX2wODy3IHaql1+dy41YvFCWNtvUZLr/qSffMhdacihNJbGviF3AKXB5awl9JOEYOV+rDp4TkUAX6Ym572dy4JXeoFrerymMK+lBSlg8Nuo/9IRPi1lZzlCvSOegyjrJcwK3ezTD7gVOevZSPAeX1HOpnYfKNnuRKo3qhKPqUkJ7clJ8Flc8RYPuqkN4Rn24B3nx95gMr/x44+ubM6+0dwPLb2T4irDZJ/Cwkfcgti/CTIeehwEeH9LlmerdIvMu5fjKaPuhcfx2J77drP/dE68ALUaiVtGpdwdeVmvSxVu2qRU9r+tc22PsEqT2mvFC4cdt8SijNtURBoeGrQurDievFOSNL+ZLR9rNwoUJBgQpF5C/C7CetPvHlJ+P6DIiWv46tDu5Zj7LUgVMQcXNMfwqbdtXGd3G5Uh8+JRQ4+uJJaLSX671h46G50OYxJX0YVtY0MyuBv4hmXkpOn/jyk9GCa38d299pxRG6gF+9ehVPPvkkxsfHkc1m8clPfhIbNmzA6Ogoenp6MDQ0hPr6enR1dWHRokUqjQqDD12prQ72V5cSVyr1KYkLbA48xDeamwuRy2NqcpWSsky+P0nlobX2dOLUVmufFeDUoRVHqIxw3rx5ePLJJ/HMM8/g61//Ot566y38+te/Rm9vLxoaGvD888+joaEBvb29Kg2KBB+6Uk3tL9PPgoRNF9+y1vwMdd0DyLFoI7TYxPWgac31XIgRfTm4mnWbXwcXbM160TOFvj9WDxOlurkeJtmj/eYzBLeu4GvQPXiYqNUtaZPiWRYTWBz4n//8Z3R3d+PRRx/FCy+8gF27dqGmpgYjIyPYtWsX9u0L179qcOAA35NbwnFy+Wybv4eUK40at5ZvtCasnH3TGpY3DNezmjsPbHsemr7REq7UNQ8N8DxMpHsYYXVzPP+14DLLU1gdk3DOgedyOXzlK1/BqVOn8NnPfhYrVqzA+fPnUVNTAwCoqanBhQsXjM/29fWhr68PALBnzx7U1dVFqXJmQ6uqpj9bVwfc+fSM+4YvXYSJSa26dBG1d95tfIaEoY7TY5fN945dtsfWtDr/Pyaixi1ul0NYx8LQH8M//gF5/7Vxgjcfv2aMjzsPhr9ruZ/Zf9a6ibK05q2kbgDGeUX1CSxjYULUuquqqjA+Pm5tkzqoOrjXJXVMYMY7zkCkBbyiogLPPPMMLl26hGeffRZ/+MMfIlfQ2tqK1tbWqT9zD+NwM9PkFi42Xh9fuLjkxAgA8uqAy6PG6yrlT8CkSKi8o4H+19zSrjPv/ioWz/EMcyxsY4cqgjevmofTR37KqtvUHxDOG+OXq6Asybzl1m2bB5yybGNhuh5W9yQi/9oM8dFxpaoC6F/Smu6TJqioUBYuXIi77roLb731FqqrqzEyMjJFoSxZsoRTVCSw8+UBbK0yG+0d5px87Ux/CAumfDEm9aaXR/M8++bt07TK0/TvVLta1jrVoRrbK9S5W8euodEcX+s6Vt1ifb8BpH5aoBfmzlt23RZdNcA8O9HWYc6BumkL60yFbQ5y88tmi/Oyhp2DsNRBtYua57b30vVx+lAO/MKFC6isrMTChQtx9epVPPXUU1i3bh3eeecdLF68GG1tbejt7cXo6Cg2btwYWqEPP3CX3JkPj3KSz7ZwjICerzIXNv49TOdeDNsvLqNn9aGDrLql+n5jW5U1zJxfm5oaZoA/d0x7GNSXaNT9hShnHkj+nTrFa9kD4r7Lkvcydj/wkZER7N+/H7lcDkEQ4FOf+hT+7u/+Dn/913+Nnp4evPHGG6irq8OOHTtCG8qFVEOp6cUctW4vHt4hOmlOWb48x7ljYfO+MXpWf+ebrLql+n7qGapu1v0T4Pj++NAwW89OEPp3LT9w9hkCi48Otw5230reSyWELuC33norvv71r8+4vnjxYnR3dztp1CR8+IFzv8zD2qTCkVE61BCdtIbXi+iXCtPHQ/VnpZKHiKQ/XPmRRMn/6sPvXEuLHfbOcPTvEh8d6p3kzgXpe+kSibaT9eEHztb5WtpE5p+c1PRGrZvSjVt00qTmmvK51szjx8yVqZorkNp7mOD+nerAFTXM7Pyvmhpm11psyzvD1r9T+WXXb2b53mffG2Tr30kv+U1bYvMDT7wXCleFQpajyF2ztdgCjoztiwEej6nNjUtzflKImgtUwkNr6sC19MIi7biihtl5PknFcxscFQoO7LOej+By9hzuP3EqlDjg2g9c09tYkyPj+mKQ0ORELYgr56eEh+Z639iglYdRMj+5ddva5DqfpKYfOMW/c33vqXZZ90kY3L8PJH4Bl8B5rkAKAo5MM4ema18HgLeP4GMPQ4uH9jI/LIi7fi7YvzCI+53H7cH3Pk4kmwMXgJ23UZOnorhggiNj8642D5iGRvMzLWtZuSGjeBvHkfOTPa5c/taxZ0Uo4q6fAe48sN1PzVtyPnNB7ZHYzm2U0VjMvi9wS95GdO12qoiovKMB2a7dZo5s+e1mrs3QVvzwO+TP2RwRQ3bvE+ZG/eRVWg9N5U6kTq/Z8lIa2ps5cphfBwXBuFJ9ZQL3fm0U1l/qfo9zMOeB9f4P3jXXcejgDMmoBJnBY+av6cFjZPlxzwUOZt0Cru33zIVrfSybfxfooSlweVrNfQfJuEo16HFBa7/HNVTngWZeUYU2TSLuuRAVZbuA++DUXPtDR9GhRtEEA1DVQ1OwPWM6JWm9n+lb4cMXO073Owm4fShRoZjAHQvb/TYfew1ljHQ9cK3K0UJZLuDW3JANjYBBAsTl1DRz2XFzDhZ6R0T2gNHKqWjj+Qi/juDWFdN9Sia8uoMNj7JyhNp8K7S8Qqg+dJ27ULsO0peD6ENJHlmqXWQeS2pvwzZ2vz3J8vCh8lWqtRX8XJk+PE8olOcmpo1TO3TQ/Ax1XVIHFxb+NtO1O695vb0BmVXN+T8fOcyuu/KOhjwXvPRGYP7C/H+7due5PkbdtolYUX+z8Rn0En3be9B8/6GD018oIP/nA7SfPFU32V7u+GmONwXNOg7s4/WhrW5muzJHDhvrzhw5bLzfNnaZwWPm9v7kVXObDuxz2lYAdH8w6/aBsvwC98GpxcnfSjXJXC22ZE/AyKdbclxyc4Ry66YQJ1+v1SYrlPT9PvY8AL4O3HV8Ih8WH75CTJTlAi7l1DicoSaXrskZ2hBbDkhLjkujg6AwR2hcPK0Ncc0pbh9KzhBQexU+3g3J+QVJW12eLfCB8qRQbDpNSott80Tg1sEEWw8tqJvUSTc0uvdC2bTFfP3TLcY8llh1LztHKNvLhtuHgj4nvW88zCl2nlXbGQJqft66wpz7sqHR+buBVfeaHyDONVC5am1tZZ8tEJydcI3Ee6FMImq2DsD8VRTmiWCCmg9ECT4XkTMRKfpDi7xQTF/aL79A5078Qrf1y3XGeCt6hVBgZ2cR5CGNUkdUHxgtFQrbe1vg8062SaluW65aqq1x5k0txKz2QqFg40MlngjcOjgohTOMqgn24g9tgdGr+1s95puvXSP18hQ0eVet+yX7LZr6Ym4fsnloam9D4PNOQatu2/ut5cMi3ZtyibJdwG1gefmG8K4adfvwVtDkEiUw9rmFGw/T2Rbr3zX7UCt3osQHPYoWO7L2n9FWW93k3KHGT/DOcD252XUre55ovscuteOzbgEnNdcta4FXDF8rirksuXpvVW8FSmtbpF0NvV6C1/qMuNs6zH3eZtamF+psi/XvEj2vCVz9tDU+ak4JNMzAdS12ZO0/o63Wuqm5s/pBlXfG1ucZm0a8MPclYOf4qXMQln0V8lyDh7ypWtrxsuXAKWjnKeRA4m0chqhxA7r+0FpxBw2NM09oDh7je3jD7HfOHT8Rb620v+AjPun8LyWXZRjC+pza7+H+UlL7ZeUhb2phH85JDpxCnBrOuH1YNP2hObDGbeLGf04cohCMEXv8BLy11v6Cj/ik81/LL4dTd7End/F+D5fj595fWHchfORN1Vp3Er+AU7wgm89T5Hw1fVgkXw2uoZUbkqu5luRttPmqaO2FaO0vSOPT0L9L5r/WfPa1/yQB18PH9bvBRaJ14FS+vOx7g7QmmNK7KuX3s3obM/XebB2xB4hyh2pprm06W+IZSv9L5SEl8xpauFJSq9zewZtrkvi0POMl8585rtR8JjXdivtPEmSP9hvPKQS3rlDLm6rpiW9CojlwTT5Pi/O18tzg8ZhR+FgOB64Bae5QDc11GOdqeobU/1rykFJ5Dcm2CvY2SomvkAuW8NCa85/zTKk5YX3P9exj/0CeU8js+leVPYE5zYFr8nm26xpt0vRW0PJClsCXf7KEc2Xpfy15SDU16Bwv8qjxFXLBmp7xkvnPekYxJ6wXcD18PPjJcJHoBVzK52mpKyTeCiy+K4HcoA/NurRuFqdtyUNKgatV1uKntXno2KA4FhKw33vLOQUTkjh+iebAJXyeiMM1gOLzgltXkJwWm+/i+ll4gPMchba6Lf1HjSvJabfxfCus+xGu+WlFHjpWUJx26zrnHiKi957y8KGuJ3D8Es2BA7QnCNfXQU27auHzAL6WN0yF4p0XFOiktSDdXzBx2pkjh1X3I7R00hIvlKRlgaFQ6hmMUua69L03qVAqLbk4XewjzFoOHKA1ohJ/AxYU+Tzb30m0q04RIy8v3V/g+qAbEVGrPK0OD/4s0mfiQFLPYNhgOqdgQ9LGL/EL+OQX6umxy8D8BVaNr6pnhpDPK6e8jRKdtMuvQc39BfY8CInbtS82oOeFEtfZAu0zGD5yX2rUHScSvYDP8FC4PJrnJTdvn5b2KJKvA5dzorwVNm2ZmXJpovzg3BDLryPOvI2kv0d7B+lB4TxvpGXsgt+e5OU65c4Di5cG5eURbN6u5nFT2LeleKFIvF60QPnVoL2DfGcosOea1nsvqTtGJHsTk8r79/ILZG46du5EAlSOycrJvJWm/H7c/Htx5m2k8nQOHjPHfUeD87yRhWM37+57po8dM9cpdx6Q431HAz0PD5lzfopecq2+5ebKVAQ5/weP8fuJ2R9a772k7jiR6C9wKQ+txTlR/LQW/+76ug1WbTMRt2tNK2DxQffgvU3uRwi8prlwvncT8x6GDw+RxI2FB4Qu4GfPnsX+/fvx4YcfIpPJoLW1FQ888ABGR0fR09ODoaEh1NfXo6urC4sWLdJtnSddqRbfpekvbOJDJTppX5pk506IAu9tCpp1a0HNf8NDvlFJDFHq5sx1LWj5fsfFmYcu4JWVlejo6MDy5csxNjaGnTt34m/+5m/w5ptvoqGhAW1tbejt7UVvby82btyo2zoBD82FKt+l5C9ceH8hH4p1D5Mcuw/OkPTknvQjiehBbfOmJvu8vSPvW1EMwntbdR+BqlvTy4M5d8j2Ctqq9g4I5hTF/fvw0Cf3gSzvGaccH5x5KAdeU1OD5cuXAwDmz5+PZcuWYXh4GAMDA2huzstvmpubMTAwoN64abzkgkWReGg2FPkuiofLHDls5puPHGbdj0MHaY7dA2dIcZw4dNBc94F9vOuWPs8MHjP/xU9edb6PQNVNtkkAiv8n5wLRXlFbld4BEQ9N7cUQ74bqgkjFbXvPOOV44MxZHPiZM2fwu9/9DrfddhvOnz+PmpoaAPlF/sKFC8Zn+vr60NfXBwDYs2cP6urqeC1sWg00rUZVVRXGx8evX6+rA+58mleWAcOXLsLEqFdduohabluJdg1/11LHnXdHvh9jl41VVl26CAD8OJh9SPUV1S7u9cK2VlVVTZsr3LqpuCXjrT5HKEyMR+Fct86dJManNKeod0MTcc6pafcVzXUOIi/gV65cwd69e9HZ2YkFCxZErqC1tRWtra1Tf5aetCo+rZT9j1eB738byOWAigpg/WZU3reWXW5u4WLj9fGFi3Hm3V+pnLqCpQ5Tf1BtwvwFeSmloRwKVB0ScNvFvV7Y1hmnEQV9wulb23jbnqH6thQtdmHs3PZy51pYHS7iK7VutUxSgjkl6XOXJzEjyQjHx8exd+9efOYzn8GqVasAANXV1RgZGQEAjIyMYMmSJVGKUkH2P17N5+rL5fIXcjnglRfz17nQ8rkA7ccQNK3R8cu2eTr78Mzgtkvii02A7cnN7FvreCv5Yot83pntZc818P1vfMRHtVfL68haNzFvyT5vaGR7+Ijaa0CoF0oQBNi/fz8WLVqEzs7OqesHDx7E4sWLpzYxR0dHI21iauTEzP6PtuuLdyEqKlD5v3vZZav5XCjmxOR6wFBxaG+iaKhNovTtjC9wB31bqhc52xc7op9MFC8UzbyN3PZq++VQc914r5LXUXHdpczbUnOdOvVCOXnyJH72s5/hlltuwZe//GUAwOc//3m0tbWhp6cHb7zxBurq6rBjx46wovRgWrxt10Pgw/uXq4PlesCE/Z0WNPJuJqVvOW1S8cUWarFd523Uyu1ZanwztP8GaGu0Neatl1yuBEIX8DvuuAOvvPKK8e+6u7tVGsFGRQX5BS6BlhZUK4dg3DkxJdDSoFN+IK51warlx6wbZ4OpsdeOj+MBY4ubchZ0fc5DmutUA8k+iUlh/eY8B266zoSWFhQAWwcbp2+FJrQ06JT+XdXjhgCpcZd4Vlt8VdSg2R9Ue9s72H45XLA9YKi5c+uK6fr3ifyW2QvngZ/+yOk5DxSda5i6PjkWDudt4v3AJ+FMhVKih/GM8pS5Ut9+4BJIeEnXPLSPGGzQUqFY26zYH0a3RYunOjevKBmD0twJdn3BnF2H+LXugzOPujc1q/3AKVTetxYQLNjF0PYwjpMrjQtavhWqPDQT2tyqD593zf7geqprxac2d6j8lsS+mA/OPMrflYrEL+AUPxY3r6WCCNxjqd7QPhBnzkgJtPY8uHVEPUMQdcxdq458eIKo9TuV35L6AleeUza4HKdEL+AUPyby0iCg6WHMRgTusRRvaG9Q8vFQ5aEJkHseit4bEm8MLhfsxX+DybOL2qTF5W/aYvaAuX898H9+4HRO2eB6nJLtB055DAi8NCioehgzQXlQZwaPlY0fMcD3gCF9PLh+6hL48N6QeGPE6Q1PgO1tImiT1QOegcpVzXma4iMfBTIV+f8++kVkzp12P6dscDxOif4C95FjT1NfLIFKPscEQEPv7cOH2cd4S3N7urwuBYe/lbaJowO3wZTfMvtz80Lt611yPU6JXsCl/HQSeVcKUp/wUv1ZfJzQ5Patpt85wM9jqXXKVVKHZl9RChibMoZqF0dNk4R9BNdt4sJ1/YlewCX8dJy59Ljg8rFsb2hLHZpcqRqvbBkLbhzcPJa2vgWgrnOfUQd3HlJ1THqzF58tWP8I8P2XjGcOMkvrjfFl1z08Xe8ddk5B8V2K06NcE673dRKtA5f4X2jpSn1sFkaJr9AfQtufRaKD5dah5gHDjMOmsc988SmetwjC/SyoOCQ69yieIFQdwd4nzHFTp5eX3ojMbXeaz0J85KNmZYfF86SUd2maC6PivI0zw3yUOGatDlzCV8aZS4+LKPEV8oLaHiJa8OEBw46DmcdSs2+B0nTuUblgYx1U3JRP0OVLdByUtloxDykFzXkb1/sNpBy4Fz8SLmz/orvkDL35szBPuWpy9hIvFA2/jrB+8qFzV9H+U3FTX+ALFtJ7TZS2WtHThULc3DUXWnsbXCR6ARfxV445Lxs3F5wbYnmbcPkxEZ/G9WeZ9FqfCnjCax0gF3Furswo2uaoXihkvlGuX0dYPznWubM9QShQOTEJPTQ6t+Xbbdpral0HvG4wstPMBUohZu6aA9ua4DqOROvAJRpRUV4+Dmy6zgP7jJpTHNhnLIqre5bopNn98f1v865b2kXmyhRom9n5RgePGTX21K8hWz950bkr6YXJnJjnTpP9QY7f0TdZdWjC+XusCcG8nRMnMQGZRjQ2zwymt4kv7S+rPwRe61p6/bDrbF9spl8H18/Ch86dy5Va9yOI/vBx3kKCOLlrDiTzVguJX8ApUN6/muBqm4Ozp1m+ylxfbKlOmsVDh3itc+Kw6fXLzYPdh85dgyvV7EMvfkAWqOW+VNL3U/fHydeX5QKePdpv9v4F1BZxkba5mAMH7L7KEfTehXyozaOcai/bN8bitS7qEwMPTXHjSfVg96FzD84N6eiFtfeNTOPnwUdESwdu5afB0/f78NHhItE68EJMy4n52D+Yd8c/8lFU7v9eKc2bglTbzPVVNpWlmXtP4mtOqVC4fcKNIyke7DPKd5yPU3p+gVsH9xnJuYNS4EIHbh078PT9mvOgELNWB06C0qdS1wWQapvZvsoMblXESQqeobzWuX3CjSOpHuwudO6cOriQcK5a2ngtaPWHL18aH75JJpTnAk7pU+fNExWn6UfikiuV5N6T8Jiu/TqsGm1FzlUrn6MPjtOFlr6kvZCQNnHr5kKrzzX3HaRtmrN+4CQo799NW9hFsXNiWrTNgJlT0+RKKU4ys7RehcdU1bRS969+0Myzt6ydlr8wtHwLyHGV5HP0oUlW8lRX2wuxtEnVD5yCUp/btPfWd4ZZFgXXXkRlyYEDeioUbk5MCQ+t5QkiyRnJ5THDuEeNr0HSr6PApySqHwhZryUOST5Hn46OpfjfxJnjtVTeuvgd1+hzzfks8lmay14oNpi8fyWQeGmwyoGeJ4gkZ6S2VpnLr7L8Ogp8Skr1hpbooW3woUmWjHnU6z72F7R9PzT6XHM+++DTuUj0SUwfIPkrihO1eGnYuDMNSMrnPuM6BgDsvpXASxweoDZOlnmrhST2uWabfLx/XJTtF7hEnG+kGCiurYgzDL1u8cyY9LPmbCyZDvKE8YKs+CT8u3A8ZoDKBdq5TS+Zc8xeGtRhITYtsO5h4P13gOGh69dq68k5Rd7fuc0+bzWg3OcadJ1qm6Qa+1+fAEYKfk3W1Kn1e1ly4MUbAwCACc8BAMa/oxbeyWcki2vUfzy4bZK21dYnGioG2/1U3aQe26SXL0osEKUcG+LygZ5xWAjI/wO1ebsxEUlxfDPm+jP/NHMB2NxFz51v98y4P/Pl/5X//zFkZhL5gTPnlOb814wvN3QKwbP/POMf1MyXvjb1XCkceHku4AJxvnQTRwOaG6VxJm6g4OPQhesYNEEeFiISJBTHF2Wuax+GSgJKOciT1LmTbmIaINoYiNGYx9dGKfcZLcR56CKRoMaVOGgmMrNSPgyVNGgZgsUdt+t2leUCLhHnc42VNCkGHwdaNE2dNA8qcWioOE2BVEGNK3EATdNoKm4DKgqah4h8zJ2kHUiiUJYLuMQUiEqErHVQwibMZydnDtsoZfaJCaSpUxFPW8pBJapvqUMlcZoCqYJKqtC6zphUwXYQxMvccQzRYRbmwSbNuaN5+MZ1UuOyXMAr6m/OLyimL7sffgeByTR/0uDfdNClcNCB60b6Ju7MZrxPcG2ZI4dZbSqML+qBFlufGEEln3j5hZlfiZPxTf7/or/LHDnM69sD+2bytEXllHqQJ05kBo+Zv5qPvkkndKDS7pUwd3xv3pIQvDNUHNScouagKG5BeymQ42cZcw5CF/BvfOMbOH78OKqrq7F3b/6rYnR0FD09PRgaGkJ9fT26urqwaNGikhvDgcQUiGO4pMm1SUxwnCeyUOZptUy5TMmcyw2ah2lKmTtJgZQHZifwUIpbk7eOnQO/9957cf/992P//v1T13p7e9HQ0IC2tjb09vait7cXGzduVGlQqdAyXJLer8URT/LTp8cuA/MX6B/3FvK0rk25JHFrQcuGVRJ3YVmcJB5acCm5DIth0hbj9Pg1oOq6LYYW181NQq7Z57Fz4HfddRfOnJn+c3dgYAC7du0CADQ3N2PXrl2JWcCdH1yx3M81fCc54mIDqsuj4qQDJG9HHaZp6wC+/5KK+Q/3kNSUURgjbi1IeE+2wb+Fn6aSGpOmaopJFVwbLtneGTI5y4Xz04zNpFy3JAl5sHl7vId/GIikAz9z5gz+5V/+ZYpC6ezsxIEDB6b+/pFHHsFLL70UqUItMysbXKtKJKb8JjMrMuEBoReWJh0gEzcwk09omVlRKhSbyRUVtxa0jYoo8zLu3PGh6/ahoSZ/aVLJWYjUflxjOKup2Qfvhpqq+Tj8k2gdeF9fH/r6+gAAe/bsQV1dnaicqqqq6M/W1QF3Ph29cKX7hy9dhIlBrrp0EbV33j3jmeHvmu/HOJGYYuwy2QfWuql+a1qd/19hOT/+gb0crb41XD89dtlchiVuLUj6jzveANhzB0SfWMeVCdHc4YKI+zQ114kk2ta+NcAW2zXLfLuRUUcoQt4Z1tpW/KzkoerqaoyMjKCmpgYjIyNYsmQJeW9raytaW1un/izdmOJ8gVPQMron9dMLFxvvH1+4GGfe/dXML3DiflQRCSvmLyD7wFY39YzxC1xQDsDvW6PlwPwFedqEEbcNnOTFkv6TPEOBKovqE2pOSeYzd94W7tFwLHmNoOY68QVuaxM3Nsl8c7FX4P0LvLGxEf39/Whra0N/fz9WrlwpKcYrtIzubUlxM5raVcdJB6g4gvWPqJnWU31L6sAlyRYIsJMXS42KlPjNoKERMFEoq+41a8eJxCKSxA2kVpmqo3h+RkgMTaKtw5zc4/71wMDPSj63YR2j35406/XbO4xNdb5XIEAoB/7cc8/hnXfewcWLF1FdXY0NGzZg5cqV6OnpwdmzZ1FXV4cdO3ZElhH64MBN0OIYw5LicpMqUHze1BeOIxVKqX4d0+pV9OuYSrZQogpFlLxYSYUieZm54+HDR4esQ7BHQ0Fr38gan2DPyqffitMv8O3btxuvd3d3h7csQVDT5oZ4UGhpVyeTDnD+4YpTB86qw6YDF8StUTeglwxYBOZ4+PDRUWuTBa7PbQB6iaST6LdSlicxJZBqc6Per50Ul/LFVuPghDpwDd2z1K9DRee+YKHaXogEZB3M8ZD0LTdZtaRNrhMn+9Jol4tXT0VsNXtG0NBo/ouWtXlOrBA2HrNzW56XLUQITxs0rTE+E5ZYODjaj2u/Oo7gaD+Cnm5k3xucuo6Tg1PXc8XHfqOAiqOtg2xrYbsK6w+a1pj7sN1cFto7eH0OkHWTsVPxtXcYy1HtW0kMVHs3bTH3Vec21vWgaQ1d97qHeXW0rjMHuOpefh9SddvOFjDnDrduqq+ChkbWe+wDZekHLoGNE+VqPrk78Fpcm7YmmKsDB3hJmyXc/yRmJLh1rHNPgt6a2vdQUfiEcMcqen3B/glw/VdJVP8bzV9KnL5yNUcSrQNPDCIk0o0KblJcNU5N2evZFEf2R//OrkPCV3J9KyT8Iyc+Hz7aYTFQ/D81PznXJQmxybIU908K64jqf6Pp9cLpqyR6rc+dBdzCGXJ9sePi+bS9niU8nxZfyckFauNpubH76ltO3TYvFOsvwQkPEVy7luelJzxENP09jF+oin7n3Lq1Tv1q+vfHyYHPnQWc8v5oWcvyxVbV2VLcGdNDRNPzONRrQsELJYpPeKEfSK5rt56vsk0XbNCga/Kbwa0rjFrv4NYVpBcKeR6B8hD50x+n68ZL8Pcg5wil19+0xexRrjg/uT79mu8r6cGu5GsiwZzhwAEzJ2r0pgbY+lvtfJUUL6jF/0l8PArbVcpXkYRjBGj+ncs/SjhiDZC+Hx/5KDL/7ZOs+smyKAj2eqw+IpN6fUY2pzC4yImp/b5yfFiiIuXAI8LIiSppXaWezhQoXlCL/5P4TEvqd80xSvhHCUesAmpOXbvGnyNUWRQEez3WOULsA/mYn5zrvjzY40LiF3BNPbQGnxfV01nLwzgqH8qFJifKVURIOUaXGlzt/jCCmlPz5vHrp8qiYDmnQKGUeVvqF6qWRls7v6yPswIcJHoBp3hBCa9F8nmr7gVef2XmA63rjF4MUT2dp9VRgodxFD5UBIGPh5rnCdMDZoqHdumLrdgf5Dht2mL23ti0BVh+O69+qqwHNhi9UyR+Mtw+8ZJLkvBnkXiwc+Nm+7B4QKI5cB+8lo3rpjhDLT9wiYexFh8LCPhsRc8Ttm4cehw4Ba3+sGrTCeVIYf1R9dAcFYo0IQanT0qdt1E4cO6cUv217mifZNZy4D54LRvXzdXfanFnvjwXtDhRkeeJEg+t2SeaHDGFylXNwMSCTdUfVQ9NlcU9p2ADp080563k3dfMERrbPgkTiV7ApbwWiyOzcd1K7eVyZ9JyNPhp23XXnieaGnQJuH0bJ0fsCxp7GxLuWJPTdp3rNNWBE5DoMdk89OoHzX7EhCewFVrcmaAcACr8tG1/gauhRstaMr8mp/+w7uF8/kKHHLiNvwXMfauZnzGJizh3z4Ob+9Uat9JZCC+5TlMduBminIMe/IWtbVbizkx8qIQj5vLTYfsLrr0jSP27430B67wBzwOmVI5Y48yDBrR46Kjzf4b/DfMXIieGVAfuARJOmfuMNq+lxZ2Z+FBRW7m+2CH7C6513RQP7HpfQFJ+Uvc2tKDFQ0vfMe4eFKeOVAfuARLOyfaMlkeEay8UaTka/LSmblbiTc2tw5cO3Mf4UdBUlXCgxUP74o61eGvtNcHlvkey/cDXCbx/iWem9KPnzuQn37kzeY+IhkZWHWxfamkczHLYfueKXt2U3zla1pr9kxsa4+tDSflKdVNjRI4dCnJ7Fs3b7HuDrLpFoOIm5g61H8H1w5eA9KqXeHgzx9u2JojWCwYSzYEDfG1s4TOF/+KRHsZMjwgpFyv9VzgqL8j1Oy/Fq3tGbIr68Mk+NPGCrhUcrr+ioubpLIxdkttTExp7Oj64f20PfS2eHQg/vzBrOXCAr40tfKYQpOcJ0yNCymNqeUSQ5TDj8+HVrZm3EdD1geaWr1K3IE+n6BlFaOzp+OD+Nc+MAPHx7FwkfgGXgOV5wsyRGMaP2U7aOQUzPk3vD019uKYHTJy5L40Q5FOVPEP+SrNw6VrnFDS9yDnxaerGter2cX5h1i3gbA/jiRyJGj4epEcz4H4Rb1lr1rNP5CnU0LSK9LFEn5t0/IV64VI9YDT9odVAedLbfEqYz5BxF4/FpO99125kltaztNJBQ6PZ13zpTUZvfYkXOQX2HCw3D30mEs+BTyIqP8b1MJbkSKQ4Ypvfc+X+70WKsxhR4ya5UkueQi2uWysnpqYm31deUS6iKEqKx5yjQhF5/tx2J8+LnJprFRVALmeuI8I+U5S5LjobovSLy5WH/qzmwLmwajiVciSSHLHF79k5BHkKNfNSauTE1NTka3OiWpD4lHCekXj+sDlcaq6ZFu+J++P0sS83D30OZt0CzvVjUNUwW/yeKahpfAV5CuPK7ckdCwlf6IsT5ULyNciZI2TcFs8fdr9Tc436ArfsMwE87/s4NdqaXi9aSLYOXAJKB960xqwTbVpj1nx2bmOVkxs6lfdoNoG4rqrx7dxm1mJv2sKPgwJXD601FgK+kNSmC3TuWpBogrlzhIy7dZ25gvYOvj6d8gm6fz3Z51F00td+dTy8T+LUaDPns5bW24ZZx4EDfO0qhzsL42k5KpQoGl9O3NSXmqa3scucmIVjwdH9G+v17GdRapsoPTRXBy7h/oMP3lWpg7vPJPV596nRjlJ3qXs3KQdeBC3ds0QDa/N7ngFljS8nT6G2PwXn/ihjwdH9U2WF1eEbIj20lpbedr9SHdx9JqlOOk6NdtJ8whO/gE9+VZ4euwzMXxCJI3bJr2rqp0W6YCXEyedFqbtUHbhknCQ6aeoZNT00c45IuP/g7GmVOqQ6cK156EOjLTob4tDLJtEL+BT/N6krvTw6pV0lZVSuvXzXWTyxCbC16ZL8hUxwcw5q6qSj1F2qDpw7TjPmWgSdNKmtXv/IdB/0UvTQTB046aFv82af1N9HrUNbB67gIe5Doy2pwzavNBbxRHPgEh8IH9ynZu5EE2dYOLCuvKHj1En7qpszTlYvGUInTWqrlfXQKjrwkL7l1KGtA+d633P9VkrRaJdah9Y+V3ly4AKO2Af3qZk7UTN/IQdx6qR91c0aJ8tcY2urlfXQKjrwkL5lzUNlHbiG970PjbaoDsdeNiUt4G+99RZeeukl5HI5tLS0oK2tTaVRUxBwxNq+CxoohY8tlfvnalqlOmkfdWt5m3D3I9jaag96aCoOH+Mq0YFzoXnmwAaOcsvHHgYX4gU8l8vhW9/6Fp544gksXboUjz/+OBobG/GXf/mXKg0DkOeIC71FCq9TEHDUzlEqH1sC90/6WQjyjVLwUbeWtwnJY1JeMu0dwPLbeV4vxRx4QXxR8m5G4f/JOFY/aOSn0bIW+OmPdPZuVt0LvP7KzAf+/n7gZz/W2dPhvseC957kpzdvnzYPS9pHo+ZVy1r6GQbEHPivf/1rfO9738M///M/AwAOHToEAGhvb7c+p5UT04X3tkto8bES7l+TM/RVd9ScmFzeXFqOigpFUQ8t8jxh+N5L60DnNrHiIqr3Pdle5v0+/IMSy4EPDw9j6dKl19uzdCnef//9Gff19fWhr68PALBnzx7U1dVFr+PSxetfIwWounQRtbZy6uqAO5+OXI8XMNp0euyy+S/GLpP9x+0r6/133s3qPxd1V1VVYXx8PPQZEH3FrTu0HGr8mlbn/xfh+vCPf0DGDUClDzFO8PJjl3Gj0rja6riJ6o8IqKqqmj6/ue8x837yPSPik7wbUd7lGXEzIF7ATR/umUxmxrXW1la0trZO/ZmjqMgtXGy8Pr5wcSKydjvD/AV52sRwnYqb21eafeui7hlfY8QzVF9x6+aWI4EtbgrsOKoIXt4ydyj4qKMQrhRXJKj3jIhPNBcivMulfIGLvVCWLl2Kc+fOTf353LlzqKmpkRZnBtd7Y7aA8jWxcYlKPiWivvVRN/UM4VnDrptbjgS2uLX6cNMW/tzhtlezjjjB9A8SzQXJu8yAmAPPZrPYtm0buru7UVtbi8cffxxbt27FX/3VX1mf85ETczZgikN1pEKR3O+zbk5OTK26feydRFGhRJ3rksw7Wu11cbrQ+xc4eCoU6VwI66tSvsBLOshz/Phx/Nu//RtyuRxWr16Nz33uc6HP+DCzmk1I4557mKuxp3HTcHKQ55577sE999xTShEpUqRIkUKI2ecHniJFihRzBOkCniJFihRlinQBT5EiRYoyRbqAp0iRIkWZwrudbIoUKVKk0EHZfIHv3Lkz7ibEgjTuuYe5GnsaNx9ls4CnSJEiRYrpSBfwFClSpChTlM0CXmiINZeQxj33MFdjT+PmI93ETJEiRYoyRdl8gadIkSJFiulIF/AUKVKkKFMkOyv9BJwnT04IvvGNb+D48eOorq7G3r35XKCjo6Po6enB0NAQ6uvr0dXVhUWLFsXcUl2cPXsW+/fvx4cffohMJoPW1lY88MADsz72q1ev4sknn8T4+Diy2Sw++clPYsOGDbM+7knkcjns3LkTtbW12Llz55yI+7HHHsMNN9yAiooKVFZWYs+ePaXFHSQc2Ww22LJlS3Dq1Kng2rVrwZe+9KXgj3/8Y9zNcoITJ04Ev/nNb4IdO3ZMXTt48GBw6NChIAiC4NChQ8HBgwdjap07DA8PB7/5zW+CIAiCy5cvB1u3bg3++Mc/zvrYc7lcMDY2FgRBEFy7di14/PHHg5MnT876uCfx2muvBc8991zw9NNPB0EwN+b6P/7jPwbnz5+fdq2UuBNPoXzwwQe4+eabcdNNN6Gqqgqf/vSnMTAwEHeznOCuu+6a8S/vwMAAmpvzSW+bm5tnZew1NTVYvnw5AGD+/PlYtmwZhoeHZ33smUwGN9xwA4B8gpRsNotMJjPr4wbyGbyOHz+OlpaWqWtzIW4TSok78RRK1OTJsxXnz5+fSlVXU1ODCxcuxNwitzhz5gx+97vf4bbbbpsTsedyOXzlK1/BqVOn8NnPfhYrVqyYE3EfOHAAGzduxNjY2NS1uRA3AHzta18DANx3331obW0tKe7EL+BBxOTJKcofV65cwd69e9HZ2YkFCxbE3RwvqKiowDPPPINLly7h2WefxR/+8Ie4m+Qcv/jFL1BdXY3ly5fjxIkTcTfHK7761a+itrYW58+fx1NPPUVm2omKxC/gXpInJxjV1dUYGRlBTU0NRkZGsGTJkrib5ATj4+PYu3cvPvOZz2DVqlUA5k7sALBw4ULcddddeOutt2Z93CdPnsSxY8fwy1/+ElevXsXY2Bief/75WR83ANTW1gLIz+2VK1figw8+KCnuxHPgH//4x/Ff//VfOHPmDMbHx/Gf//mfaGxsjLtZ3tDY2Ij+/n4AQH9/P1auXBlzi/QRBAG++c1vYtmyZXjwwQenrs/22C9cuIBLly4ByCtSBgcHsWzZslkf90MPPYRvfvOb2L9/P7Zv3467774bW7dunfVxX7lyZYoyunLlCt5++23ccsstJcVdFicxJcmTyxHPPfcc3nnnHVy8eBHV1dXYsGEDVq5ciZ6eHpw9exZ1dXXYsWPHrJNWvffee+ju7sYtt9wyRY99/vOfx4oVK2Z17L///e+xf/9+5HI5BEGAT33qU1i/fj0uXrw4q+MuxIkTJ/Daa69h586dsz7u06dP49lnnwWQ37RuamrC5z73uZLiLosFPEWKFClSzETiKZQUKVKkSGFGuoCnSJEiRZkiXcBTpEiRokyRLuApUqRIUaZIF/AUKVKkKFOkC3iKFClSlCnSBTxFihQpyhT/HxUVNCpdBLJuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0dc8ce3e",
   "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>a</th>\n",
       "      <th>b</th>\n",
       "      <th>c</th>\n",
       "      <th>d</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>a</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.830876</td>\n",
       "      <td>-0.948723</td>\n",
       "      <td>-0.021530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>b</th>\n",
       "      <td>0.830876</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.791094</td>\n",
       "      <td>-0.008096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c</th>\n",
       "      <td>-0.948723</td>\n",
       "      <td>-0.791094</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.019217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d</th>\n",
       "      <td>-0.021530</td>\n",
       "      <td>-0.008096</td>\n",
       "      <td>0.019217</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          a         b         c         d\n",
       "a  1.000000  0.830876 -0.948723 -0.021530\n",
       "b  0.830876  1.000000 -0.791094 -0.008096\n",
       "c -0.948723 -0.791094  1.000000  0.019217\n",
       "d -0.021530 -0.008096  0.019217  1.000000"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "df=pd.DataFrame({'a':np.random.randint(0,50,1000)})\n",
    "df['b']=df['a']+np.random.normal(0,10,1000)\n",
    "df['c']=100-df['a']+np.random.normal(0,5,1000)\n",
    "df['d']=np.random.normal(0,50,1000)\n",
    "\n",
    "df.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e9fd297a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pd.plotting.scatter_matrix(df,figsize=(6,6))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "70ee0a9d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Mudit\\AppData\\Local\\Temp/ipykernel_18112/2775672338.py:4: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.\n",
      "  plt.colorbar()\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(df.corr())\n",
    "plt.xticks(range(len(df.columns)),df.columns)\n",
    "plt.yticks(range(len(df.columns)),df.columns)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9cf17ce9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}