08_SimpleStockTechnicalAnalysis.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Simple Stock Technical Analysis"
      ],
      "metadata": {}
    },
    {
      "cell_type": "code",
      "source": [
        "library(quantmod)\n",
        "library(TTR)"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Warning message:\n",
            "\"package 'quantmod' was built under R version 3.5.3\"Loading required package: xts\n",
            "Warning message:\n",
            "\"package 'xts' was built under R version 3.5.3\"Loading required package: zoo\n",
            "Warning message:\n",
            "\"package 'zoo' was built under R version 3.5.3\"\n",
            "Attaching package: 'zoo'\n",
            "\n",
            "The following objects are masked from 'package:base':\n",
            "\n",
            "    as.Date, as.Date.numeric\n",
            "\n",
            "Loading required package: TTR\n",
            "Warning message:\n",
            "\"package 'TTR' was built under R version 3.5.3\"Version 0.4-0 included new data defaults. See ?getSymbols.\n"
          ]
        }
      ],
      "execution_count": 1,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "getSymbols('AAPL', src = 'yahoo', from = as.Date('2018-01-01'), to = as.Date('2019-01-01'))"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "'getSymbols' currently uses auto.assign=TRUE by default, but will\n",
            "use auto.assign=FALSE in 0.5-0. You will still be able to use\n",
            "'loadSymbols' to automatically load data. getOption(\"getSymbols.env\")\n",
            "and getOption(\"getSymbols.auto.assign\") will still be checked for\n",
            "alternate defaults.\n",
            "\n",
            "This message is shown once per session and may be disabled by setting \n",
            "options(\"getSymbols.warning4.0\"=FALSE). See ?getSymbols for details.\n",
            "\n",
            "Warning message:\n",
            "\"AAPL download failed; trying again.\""
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "'AAPL'"
            ],
            "text/markdown": [
              "'AAPL'"
            ],
            "text/latex": [
              "'AAPL'"
            ],
            "text/plain": [
              "[1] \"AAPL\""
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 2,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "AAPL <- na.omit(AAPL)"
      ],
      "outputs": [],
      "execution_count": 3,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "head(AAPL)"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "           AAPL.Open AAPL.High AAPL.Low AAPL.Close AAPL.Volume AAPL.Adjusted\n",
              "2018-01-02    170.16    172.30   169.26     172.26    25555900      167.7019\n",
              "2018-01-03    172.53    174.55   171.96     172.23    29517900      167.6727\n",
              "2018-01-04    172.54    173.47   172.08     173.03    22434600      168.4515\n",
              "2018-01-05    173.44    175.37   173.05     175.00    23660000      170.3694\n",
              "2018-01-08    174.35    175.61   173.93     174.35    20567800      169.7366\n",
              "2018-01-09    174.55    175.06   173.41     174.33    21584000      169.7171"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 4,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Simple Moving Average\n",
        "# Add another columns to origianl data\n",
        "AAPL$SMA <- SMA(Cl(AAPL),n=20)"
      ],
      "outputs": [],
      "execution_count": 5,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "tail(AAPL)"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "           AAPL.Open AAPL.High AAPL.Low AAPL.Close AAPL.Volume AAPL.Adjusted\n",
              "2018-12-21    156.86    158.16   149.63     150.73    95744600      148.9446\n",
              "2018-12-24    148.15    151.55   146.59     146.83    37169200      145.0908\n",
              "2018-12-26    148.30    157.23   146.72     157.17    58582500      155.3083\n",
              "2018-12-27    155.84    156.77   150.07     156.15    53117100      154.3004\n",
              "2018-12-28    157.50    158.52   154.55     156.23    42291400      154.3795\n",
              "2018-12-31    158.53    159.36   156.48     157.74    35003500      155.8716\n",
              "                SMA\n",
              "2018-12-21 170.3580\n",
              "2018-12-24 169.0850\n",
              "2018-12-26 168.2125\n",
              "2018-12-27 167.3080\n",
              "2018-12-28 166.0725\n",
              "2018-12-31 164.9820"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 6,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot(Cl(AAPL))\n",
        "lines(SMA(Cl(AAPL), n = 25), col = \"red\")"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAOVBMVEUAAAAzMzNxcXGGhoaW\n",
              "lpajo6Opqamurq64uLjCwsLKysrS0tLZ2dng4ODn5+ft7e3z8/P19fX///9K8Kr6AAAACXBI\n",
              "WXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2diWKcOhJFIU4c52Ud/v9jx93NIoEQkqpKiO5z\n",
              "Zp7dC1eXRce9YacbAEBMd/YKADwDiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASg\n",
              "ACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAog\n",
              "EoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIB\n",
              "KIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoAC\n",
              "iASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBI\n",
              "AAogEoACiASgACIBKKAp0q/vff/l+5/bxb7vb99+91/v93ze0X+bFluu9A/ePv4tkTtf+9+K\n",
              "6wVgjqJIH6MXH8NsxVv/837X/fZpueVKP/Hlny/Sz/5Nb71Alb+fPwi/3n/O/f76+RNx+on3\n",
              "8Th6t9u+Oj8FQ8us71lGfPBvOvp5Vcs96wF/vvVv/62W0UZPpB+zFr8mK371/e2x5vOB6ca4\n",
              "Zc6VOXGTzxXp330QaJC//XT8/j0u3Z+B3H6K3r79mmfAg9Ay63uWEUd+9j8KqpZ71gP+vF/9\n",
              "z1tGHTWR/j7W9c/nj4m3yYq38Znd58p/ezxS+VdGdz439Isv0udzOx6S2uT77dB93A7Pf7dL\n",
              "3x+T/vv8FOT37UflfPBCy6zvWUYc+Toak1e13LMe8Lbkr9sU26yEImoi/Rjl+Pv24+9oxadb\n",
              "jx8tb5+PTP24Je4V5yneSqTP0f5qrRlo8uV+lG7H6tttvv+5v9z98uV3P98+fb0RWmZ9z5dV\n",
              "ZphmSl7Vcs9mwOXqaiUUURPpqzf171b8Nz7w/r29ufBtvN+9sv+I9Gt+KIYWuf24d+brxzRR\n",
              "vz0eJuY3lkLLbO6ZR3zwa3rukle1LvCf04yDfmwE00JNJP8hs3/8HHk8Rn8K9fNmy3/rK7uv\n",
              "kT5/+jh7CFrj1+3w+Q8J4/eP6e0m99bVMoF7HiM++O69ZZtctSr45f0k/rZMpwuK9DbedH+w\n",
              "+nw693V9Zfboa2AAXiQ1y98vjwM2DJvZ/e12OJefgakiPUYc7/lSVOUXuAN+8vE2L3lBkZaX\n",
              "QDcp3h5v4blXJo0+dgaAJhknaWh2f9weB25vDdwPbHCZ0D3utP/dfy+qcpeY/Vum0c/pwat1\n",
              "kb5O707ecUX6NT/w/Fpd6f0fUYh0Cf6Ms36c3ePjh/cOwJeVLu4ygXv+uA8fH8472jlVy21z\n",
              "zhUp+LCoiJpIH+Pz1T/Lu3bzu5ET31dXEOmC/JyeJL0tb6UNq9k9H7vQMpt7fnpP0L4sC2VV\n",
              "Odf8AT9H/DdcR6Q/4+dIb/dXPO5rpC+zO19WV6IifR2gQX7PB+bj8YNxfE0/vZX28/Z8az52\n",
              "oWXW9/z2DvXf5ZldXtVyz+/V3Pm4fQrz3zRu6yLNZwjdP1K+W/G9f/wgGTfh88Xhb+/KRqSR\n",
              "wQlBY3ydD9Kfx4V/j9sfh3K8bX6SH1pmfc8y4o0fyzO7vKrlHn/AYfh3/+n95e92JRRRPNdu\n",
              "etY2n2v38/5C6Ec/nnD3efWHdyUi0q9pOWgM5yB5J7uNh/LP50/Ib87kDi2zuqf35v3bskxm\n",
              "1bA83fNFup979/2vn9ZG9ezvb/7Z3//uZza8TT9J/vb9m3clItKP+ccPwBUw/X2kr8UvdMqT\n",
              "AGdgKtKv4scVzv6Ga2H7G7Jvha90+H0kuBi2Iq3fiEyF35CFi8HfbABQAJEAFEAkAAUQCUAB\n",
              "RAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAk\n",
              "AAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQ\n",
              "AJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABLZHe6waL6yRpSekpWdleKhzhM9KVzqoTDqt8\n",
              "Hz1ApDqlLyZS4bRCJERqMYtI1pULiFSnFJGM6qRpRBKASIYjIJIIRGowi0jWlQuIVKcUkYzq\n",
              "pGlEEoBIhiMgkghEajCLSNaVC4hUpxSRjOqkaUQSgEiGI7zfPEKkUhCpwSwiWVcuIFKdUkQy\n",
              "qpOmEUkAIhmOgEgiEKnBLCJZVy4gUp3S1xKp9BcpEAmRWswiknXlAiLVKUUkozppGpEEIJLh\n",
              "CIgkApEazCKSdeUCItUpfSGRbhIhUimI1GAWkawrFxCpTikiGdVJ04gkAJEMR0AkEYjUYBaR\n",
              "rCsXEKlOKSIZ1UnTiCQAkQxHQCQRiNRgVjpJik4+vWcQqRREajArnCRd0WnciCQCkRrMivbS\n",
              "3SJESgWR6pReTqTHo1GpSIUmIRIitZgtL52e1CFSKohUp/RaIs0vjhApFUSqU3o1kdYXcrOI\n",
              "VAgiNZg9R6TS4IBIAyI1mT1DpPLnhAMiDYjUZPYUkd4LgzcQCZFazJ4gUrcWKWsEREKkFrNy\n",
              "kd5zTeqGjUgZIyASIrWYrS9Sh0hCEKnB7AkiDYgkA5EazOqLdGQFIklBpAazpcFl7m9Fik6Y\n",
              "DpGkIFKD2foiLaXTgoiUByI1mK0tUodIYhCpwWxlkR73IZIIRGowi0jWlQuIVKcUkVJAJERq\n",
              "MVtXpA6RFECkBrO1RXJL57PAESkLRGowi0jWlQuIVKf0SiI5U/99dS5DxIsOkTRApAazlUXy\n",
              "ShGpDERqMItI1pULiFSnFJFSQCREajGLSNaVC4hUp/QFReoOAgEQCZFazJ4p0jD9zWNEygKR\n",
              "GsyWBd2ZLxBpGP8KPyJlgUgNZnVFOniA2Yj0WBqR8kCkBrPaIkX/gYqASEPuvwyDSIjUYvZ0\n",
              "kdbDHYFIiNRiFpGsKxcQqU4pIqWASIjUYhaRrCsXEKlO6XVE8ib+u3MdkWIgUp1SREoBkRCp\n",
              "xayJSHtm5Iu0vQeREKnFbE2R5ltzRFrfhUiI1GIWkYxCARCpTikihSKItAGRGsyqiDTfEBHJ\n",
              "PRMoJpKvzkaknPclAiBSxTpJGpH2ReriIi2/5uenNsOUrLG7snVCARCpTunLi9QNAyIlgEgN\n",
              "Zm1ECpiESIhUqRSRpuW80GaYkjV2V7ZOKAAi1Sl9apG6mEjD43QIREoDkRrMlgT9ufwQaX6n\n",
              "AJF2QaQ6pRcWaUgQaUAkpXEQqcGsqkjLZ0VlInXeGAMihUGkBrPaIgUXGRDpxv6a959sLuiv\n",
              "DyLZZdVEWn18tJrvznO3UOlFRcqb//si9eN/gQtZ63MEItlllUQajETaPLS1JFLm/N8VqZ++\n",
              "bi9krc8hiGSXbVqkbiPS9iEqD02Rcuf/wWuk3rmASC8sUncs0m5pWKTVkGNNMyI9SJ//iFSp\n",
              "9NIirWe9v0wXjPgjBkTajPPEIrnjIBIihZdZzf4dkdxvU6h1kTLmv55I8Bx03c6Nzh3jRf9b\n",
              "dMTP/5xvtxsDyZtIpatdTgWRvHF4RHrpRyT/nYH5PIVtIu0Raf0Z79TS1CNSzvyPieSPg0gv\n",
              "IdKOFRGR1rM/ItL8DHF5fhc/ZygPZZGy5n/sA9nVBURCJH+p8O/5JYnkjNqqSHnzP/6B7PYC\n",
              "H8jWrZRlWxWpu4BImfN//wPZB84FThF6aZG6HZE2k/9YJP8z2TZFyp3/nLRaqfTiIg0Bkbr1\n",
              "57Q7pcvj0IVEygaR6pQiEiIlgUgNZs1E8sU4KN0XyX/G2G3PYs0DkSrWSdIvINL+C56QSOuX\n",
              "TuFSRMoBkRrMVhHpsBSRckCkBrMtijT47iDSCkRqMKsrkr9c57gRL0WkHBCpwaymSOvlskTy\n",
              "P8BFpAiI1GDWVCTnWzyCSDkgUoPZApESRxhnvIpI3Xq5UhCpYp0k/fwiHb+XvV4ekUYQqU5p\n",
              "gyIFLDh+wXM4RIpIbh6RfBCpwWyuSAnvHBSUxkUaEMkDkRrMZoukUR0TaV2LSBsQqcHsoUjd\n",
              "6gaN6n2R5lrvMiJ5IFKD2VyRVKoRSQQiNZg9Fsk/XUGlGpFEIFKD2SOR/IkbmsWIlAoi1Sm9\n",
              "gkg61YgkApEazCaI5E5qnWpEEoFIDWYPRXJnbnAmIFIqiFSntHmRwnNYQ6TV24OIFAWRGsym\n",
              "iDRPY63qXJGWE2D3bC5vtgoFQKQ6pY2KNE/dnSlsIpJ3DyL5IFKD2SSRxmmsVn0k0uoeRPJB\n",
              "pAazCSJ5X1WqEUkEIjWYTRZpdwIjUiqIVKe0PZGc+XuuSI7RiIRILWZTRIpPYBWRBkRKB5Ea\n",
              "zCaJtD15VVadJ5L/FZEQqcVsmkiRp17WIrlrgkh3EKnBbKJIutWIJAKRGsxeTqR3kUmIVLFO\n",
              "kkakwtIDkZZ3DhEJkVrMtiNSPIJIC4jUYLYVkY5ApAVEajCLSEahAIhUpxSRIiDSAiI1mEUk\n",
              "o1AARKpTikgxps+QEAmRWswiklEoACLVKUWkGIg0g0gNZmPBtClbT6T7+iASIrWYRSSjUABE\n",
              "qlOKSDEQaQaRGsxeRqTpNzkQCZFazCKSUSgAItUpRaQo4/nhiIRILWYRySgUAJHqlCJSFESa\n",
              "QKQGs4hkFAqASHVKESkpi0iI1GAWkYxCARCpTmlrIiXOWERKBZHqlCJSUhaREKnBLCIZhQIg\n",
              "Up1SRErKIhIiNZhFJKNQAESqU4pISVlEQqQGs4hkFAqASHVKESkpi0iI1GAWkYxCARCpTiki\n",
              "JWURCZEazCKSUSgAItUpbU4ks2pEEoFIDWb3g6kTFpFSQaQ6pa2JZFetJFKBUohUsU6Sfh6R\n",
              "kmfpmSJlT01EqlgnST+NSOlzFJFSQaQ6pYiUlEUkRGowi0hGoQCIVKe0JZEy5igipYJIdUrb\n",
              "EsmyWk+k3LmJSBXrJOnriuTPSUSShgIgUp3Ss0XqhkUgRJKGAiBSndJTReomkbrHNdNqRBKB\n",
              "SA1mx+D0rw9NItlWI5IIRGowO4k0uCJlzU9ESgWR6pSeKFK3Esm4Wk2k7NPtEKlinSR9TZGW\n",
              "h6FuVsqyGpFEIFKD2VtweYPhMTXzDjgipYJIdUrPE+lxcbQo94UHIqWCSHVKzxKpW4tkXo1I\n",
              "IhCpwez7cnwRSTMUAJHqlJ4kUrcWyb4akUQgUoNZ2bwsrJZt6cp8+2ZEEvCSIhX9XRFESgWR\n",
              "6pQiUloWkeoGESkpKPrrVoXViCQCkRrMXlik/JMwEKlqnSSNSEYRJ4tIdYOIlBREJJtQAESq\n",
              "U4pIidlxlRGpThCRkoKIZBMKgEh1ShEpMYtIVYOIlBREJJtQAESqU4pIiVlEqhpEpKQgItmE\n",
              "AiBSnVJESswiUtUgIiUFLyiS/7vx9s2IJACRDKsRSQQiNZhFJKNQAESqU4pIqVlEqhlEpKQg\n",
              "ItmEAiBSnVJESs0iUs0gIiUFEckmFACR6pSekhV7dIZIy99YRiT7ICKlcHGRctcfkSrWSdKI\n",
              "ZBTxs4hUMYhIKSCSUSgAItUpRaTkLCJVDCJSCtcVaXnrzroZkQQgkmE1IolApAaz1xRp+duQ\n",
              "iGQeRKQUEMkoFACR6pQiUnoWkeoFESkFRDIKBUCkOqWIlJ5FpHpBREoBkYxCARCpTikipWeX\n",
              "f8spbwMQqWKdJI1IRpF1FpGqBREpBUQyCgVApDqliJSRRaRqQURKAZGMQgEQqU4pImVkEala\n",
              "EJFSQCSjUABEqlOKSBlZRKoWRKQE5B6dJtKwumDXjEgCEMmwWnNLEck6iEgJIJJVKAAi1SlF\n",
              "pJIsIlkHESmB64uUtwmNitR/Ml0Y/Aua64NIZllEkoTy5v++SP34X+BC1vocgUhmWUQShDLn\n",
              "/65I/fR1eyFrfQ5BJLMsIpWHcuf/wWskRNIqRaSi7MmvkRDJJI1IRpH97JOItDwrRCRhKSIV\n",
              "Zc8VKWP+64kEzdF1Z6+BmAqbUEGk+b0KHpHEpTwiFWVPfUTKmf8xkXr/KyIhklFkP3umSFnz\n",
              "P/aB7Go4REIko8h+9swPZN1vApF69wIfyEpLEakoe+4HsvMFyQeyD8aL823Z63MIIpllEak8\n",
              "lDv/OWm1UikilWVztkH/c6QMEKlOKSKVZRHJNohICSCSVSgAItUpRaSyLCLZBhEpAUSyCgVA\n",
              "pDqliFSWRSTbICIlgEhWoQCIVKcUkcqyiGQbRKQEEMkqFACR6pQiUlkWkWyDiJQAIlmFAiBS\n",
              "nVJEKssikm0QkRJ4BpFyNgKRKtZJ0ohkFIllEck0iEgJIJJVKAAi1SlFpMIsIpkGESkBRLIK\n",
              "BUCkOqWIVJhFJNMgIiWASFahAIhUpxSRCrOIZBpEpAQQySoUAJHqlCJSYRaRTIOIlAAiWYUC\n",
              "IFKdUkQqzCKSaRCRjuk6+SQ5X6QMkxCpYp0kjUhGkWgWkSyDiHQMIpmFAiBSnVJEKs0ikmUQ\n",
              "kY5BJLNQAESqU4pIpVlEsgwi0jGIZBYKgEh1ShGpNItIlkFECuPOOkQyCwVApDql1UTqnMuI\n",
              "ZBQKgEh1ShGpNItIlkFECtM5JiGSWSgAItUpRaTSLCJZBhEpzOesmyfek4iUbhIiVayTpFWm\n",
              "SJf/yw2IZNiMSAKeVqTb2IgkrywAkeqUTtkOkXKziGQYRKQgzyzS8X5DpIp1krSOSPm/AY5I\n",
              "j29H+w2RKtZJ0gpTpEOk7CwiGQavK1LB3yR5cZHGLUIkiyAihbiPjEgKlfkgUp1SRCrPIpJd\n",
              "EJFCIJJWZT6IVKf0kZ2mhFGvPzwilVfmg0h1ShGpPDs+0CKSQfApREoVKrV39cklIpVX5oNI\n",
              "dUrDIqXt/VcXaXplebS7EKlinSSNSEaRoywimQWvKtLjq65Iztt0q+ERqbgyG0SqU3rP+ie7\n",
              "JJ+/eiiS/5oLkRQqs0GkOqUPkcYrD4UURRqZrk/fEam4MhtEqlN6y7p/TuExL9JMivVO4zhW\n",
              "PqVIKZ9kI1LFOklaLJJzvZtcKuwdxQkNgkgKldkgUp3S9/U8kIk0PQQhkrQZkQScJNL21lKR\n",
              "5tdY7lO69aCIJKjMBpHqlL4Hp0Ha2w0hkaZ06B2L+d27JxPpyCREqlgnSQtFCtya9sbdnkjT\n",
              "EDt3I5KgMhtEqlP6vjcJEkxye7v1jAqqiEjSymwQqU7p+96OzhepSxDpMe0QqbgyG0SqU7o7\n",
              "B+QiBUe9/4dIxZXZIFKV0v0pkCdS6ge5j2UQqbgyG0QSxBJP8YkumStS0sky4zM+RCquzAaR\n",
              "BLH0v5paXaT7gUWk4spsEEkQqy5Sly6SHywFkVJBJEFMQ6QEKVyRhlcW6WC7EalinSSNSNal\n",
              "e9npg2tE0g6+pkjzGd+JtYhUXpkLIgli6VNaS6S8VkQqr8wFkQQxRFIujYg0fldvRiQBjYkU\n",
              "+l2IYO88nRBJrRmRBLQoUmSg92VJ7/shiFRemQsilcfS3z5LOhXhsHdaBJEUmxFJgKZI+78e\n",
              "4Z1ZeliJSJEsIlkFWxFpx6T10zUVkTpEipuESBXrJOmQSGGVpr8RtBx/FZGW0RPWdkAkSWUu\n",
              "iFQec1/7+5N7+Rs/0yKIJMkiklWwJZGmF0vhe8aTEeQidYiESOrBtkXyXh09Hpo0REpYNBSU\n",
              "gEipIFJ5LCKSt1SnLFIyiFRemQsilcdWIs3XVof7/oIJkSRZRLIKtiCS91zLfYdu/RoGkaRZ\n",
              "RLIKtibScpLD5o0HRJJnEckq2JZIgyvSsDncSSLtz5GkT/WDPJ9I0b2ASBXrJOkjkQIOzXeL\n",
              "ROqi9++DSOWVuSBScWwl0jD9t6VL+RNzRyftvbZI20tKzYgkQEWkzQdH9//KKxFJspeKmxFJ\n",
              "gJVIkVMOxCIVeIRIKpVpIFJpbPsJbOzUnZQpsvf6CpEWEEk32JhIe7fkVO6KNCDSAiLpBpsU\n",
              "SVa5+5tNiOSASLrB80XKnNjlIg2I5IBIusEnFWk7JiL5IJJu8FVE6hBphegNHa1QAEQqiyX/\n",
              "cl1yZRf6m0SLQ4j0AJFUgw2IZFC5/vUL97QjRHqASKrB5xTJH7Vzz2ko8QiRdCqTQKSymI1I\n",
              "AyIdgUiqwbNFyp7XqSL5p0vMIuW+JMsq1R0BkUS8lkj50zq10julfLlQ5BEi6VQmgUglMbsT\n",
              "sUO/MIBIDvt74qx9NLYrjfNSIhn+RkNYpLJndi8n0jlPf8d2pXFeSyS7ytDvgpZ6hEg6lUkg\n",
              "Un7M9COd+TcyECkIIqkGzxTJ9niFRSpozCnVHAGRRLySSKaVi0jOTYg0g0iqwRNFMn7dH/h9\n",
              "WERyQCTV4Hkimb9c2YpUed8KR0AkEYikVYlIUXb3f+FbMogkoHGR1qfWIZIDIqkGn1ik7Tmq\n",
              "iOSASKrBJxfJL0EkB0RSDT63SB0i7YJIqsFnFmkzJRDJAZFUg4ikXao2AiKJQCS9SkSKsLf/\n",
              "S3/XBJEEIJLhCIgkApEUKxFpH0RSDSKSeqnWCIgkApEUK1cdiOSASKrB5xZJK4tIKpVJIFJm\n",
              "DJEMSxGpBZHS9yMiGY6ASCKaECl1YxDJcIRzRNqc6atYmQQiZZYikmEpIjUgUsYpIohkOIL1\n",
              "loYPACLpiZS+IxHJcAREEnG6SDkvNhHJcAREEnG+SBk7EpEMR6gs0ni1aZH68Vu/vqC5Pooi\n",
              "Je9JRDIcobpI3XSrtkg58z8m0hjrpyHnC5nrE0dJpO3f3lHvRCTz0mKRsg5/YmXW/I+I1C/x\n",
              "+9dl2Lz1OUBLpPsXRFIrLR7hWUTKm//7IvXDlUTqaolU6BEiqWUriZQ5/xNeI/WD+6jWqkiP\n",
              "r4ikVlo8wpOINOTN/4w3G1oWqUMk7dLiEeqL1JmKlDb/9R6RzqTr/O8VquAsVkfgJtJ4Y9mx\n",
              "0Zn/xyJd4TXS/KMo8WcSj0iGIzzZI5LaayRE8mKIZFmKSIhkUynLvopIzoeympVG79o1/IEs\n",
              "IumXFo9Q/xQhU5HkH8jqnSIU/QUHRLLLIpKoUusUIa312fxR+NRgct0yfNq+RCTDEZ5HpCyq\n",
              "iBTbxMwNGUdCJOvS4hEQScSRSLs92SJ12xQi6ZcWj1BfpOF1RIpso7ZIKb9wjkiGIyCSiIoi\n",
              "dZsUIumXFo9wikihe/QqU7ieSPexEMm6tHiEE0QK36NXmUIlkfY3Mm9DpgfyPZGG+XE+xtHK\n",
              "RmKIZFmKSMdzU0+kIS5Swv6Mv1cfjSGSZSkiJYi001Qg0ufXuEhHG3XwoVcshkiWpYiU8Gxp\n",
              "ZzP1RTreoYhkOAIiiUh42XERkeIv5xDJshSRkkQKdmVtyPzgdiDSwVYhkuEIdUVyr72KSOEu\n",
              "A5EO9ygiGY6ASCKSRAqVIZJdFpF0KlOoKVLwORci2WURSacyBTuRZmu8l4ObPhuR4puFSIYj\n",
              "IJKIoEiBT5A2G5uzIYuaU2rnIyozkUo9QiS97O58emaRNmcHqYrUOX/5Irhg8sq6yYhI6f+W\n",
              "WUalXfblRCo4OlcQadw0M5G6iEjR7SoVqdwjRFLM7j0KvT+vSMvDkndrPLiP9/7f8ngX2H9W\n",
              "IqWtZ16lXRaRtCqPMRZpMBPJeQWGSAalxSMgkog9kWLvsuwEd/HeR3eGD4oU2zBEMhzhVJHy\n",
              "D1DzIu1sk55Iy42hKkQSlhaPcKJIJe/bIdL2YkL9YSciSUdAJBGnibTzLK5YpEgUkaxLEalB\n",
              "kSJbtt8Zfjd9iiGScalcpOwjdFWRNrenb4iT7HYuJ/RHO7cfIHsxRDIuTcx6R99LI1ICuSLt\n",
              "b9pe5/yG+k4MkYxLEWmzPrtbVFGk3W3bFWlT5McQybhUQaTcQ4RIh02Rh5b48ogkGeFUkfIf\n",
              "kloUKWl6q4uUFEjpdD+aCscQybgUkSaRlh/qpiKlpfJEct8H3IkhknEpIi0iPQZMf77VjkiH\n",
              "OUSyLs0UafXp+ROJNL/Gv55ICU9LEcm6NFukbjMpco9RqyKND0sXFOk4h0jWpanZ+XnPE4vk\n",
              "PcMLFbYp0t6n5V4MkYxL80S6zTL3iDybSEeN/lJtiOQtikiSEWqKFEg/gUiJm1AqUrf54ZPZ\n",
              "FEsjktoIiCQCkeIgkmZ2ejUeSCNSVg6RrEuLR6goUiiNSFk5RLIuLR6hlkjbN7QQKT+HSNal\n",
              "xSPUEymYRqSsnKZIm3frEUkyQpUt7UJ/EQCR8nNpqV0jVkshkuIIlUTa+zPy1xcpdQuSRVot\n",
              "iEhVS4tHqCZSOI1IgQX3p/cpIgk8QiTdLCKdI1Kgc7kJkVRHQCQRGX8KyV8wKtLue2nZIm06\n",
              "/b+MF3kWeXhzEoikmg2ezIlIu8t5f3UrLRVsOhQptoZHNyeBSKrZ5xUpdsL3ZlH32pFI09KW\n",
              "IsXX8OjmJBBJNfvUIqUv6l47eNduVklZpA6RjEY4ZUuX9NVFylifLJFmlRCpbmnxCIgkwk6k\n",
              "cdIjUt3S4hEQSYSlSIFXYIhkXVo8AiKJuJhIu+9i7N0UuTkJRLLOvqRIztaeJdKASDYjnCxS\n",
              "7lG6tEhdrkibNwXzRFp7iEiGIyCSCESKg0jW2VcUKfup3WbvJNY576D7aUQyGwGRROStjzOx\n",
              "00QqrEMkIRcXKeGIXVukAZFqZBHp+JAhUkYNIlUcAZFEXE+k5c7UZkSyLkWkfJGm4joi+YMh\n",
              "kuEIiCQid30QqUIWkRDpYNpmieRYM6VdkZKrEcm6FJGuK1KoBpEEIzQkUspvmyJSektcpPRq\n",
              "RLIuRaQCkbqDYB2Rgi2IJBgBkURkr08rImVUI5J1qaJIjyOMSJVECpcgkmCENkTqEGm9gKTu\n",
              "WKScakSyLlUTqXslkbp4sIZIex05r5zSQCTrrCvSeGj3D7BW5cJpIg1NiJTTjUjmpWoiPR6N\n",
              "EMm5X1S3vDEXFGm3ApHKR2hApOnZXcoxQ6TkkohIWd2IZF6qI5L3doNt5cKZInXRICKJs68q\n",
              "0vh9eA2RhhNFOtrJiFQ+wvkiOTchUgWRDlctZ4WOQCTrbDCNSNoiecMhkuEITYl0fNAQKbkD\n",
              "kapWI5KIkvW5byQi2WUR6XVEynznLLfOE2k54xyR7EZAJBGFIuV+KJpbtxZp/OwKkexGQCQR\n",
              "7Yq0fKyw89qmfQ8AAAuKSURBVK//pXYjknkpIhWKFDkbKr4H8kWa2pI+pkOk8hEQSUShSPtb\n",
              "aiNS4okjoQW67qwpgkjlaUSyEGn6hkiGIyCSiOK3v2uLtLxSOlqzzW2IZF2KSOXrYyuS825G\n",
              "5z/Hy14pRLIvRaQriZTwrgEilY+ASCKuJNJxGpHKR0AkEe2LlJNGpPIREElEwyIVpBGpfARE\n",
              "EoFIcRDJOhsVaX82IVLq8IhUt7pRkfam07OLdPCQjEjWpcUjIJKIZxNpG0Mk+1JEejKRQqc/\n",
              "IJJ9KSI9m0gBlRDJvlRfpGE5w9Ki0ulRGufpRFpHP68gknWpgUgDIqnUCUTyVwKRKpSaiPQ4\n",
              "NRqRZHXBcRDJcITWRJr+or5JpdeiQqsiidKIhEipIFIEZyU6RKpQaiNS9E+DIJKAIpHOmyKI\n",
              "JEsjkkFdVhqRnkOk2C9FP7lIRyftVhRp+iACkexLjQ4rIunXZaWXd047RKpRikiCgx3cxDZE\n",
              "Wl6n3tcHkaxLrQ5r5A9HIZIARDIcoUWRIhMKkQQgkuEIiCTiWUXqEKliKSIpi2T8m/ZZIo0P\n",
              "S8JSRLLOItIlRJKWIpJ19iC9N6UQSUCOSMNyphYiWZcikoJIqzNEjery0ohUtxSRVETyT8ix\n",
              "qctLI1LdUkTSFenQo1oiPZj/xcx6lTpZRFpAJN26kjQi1SpFJETSrdTJItICIunWlaQRqVYp\n",
              "Ij21SBqliGSdRSREssoi0gIi6dZJ0ohkXYpIiNRiFpEWEEm3TpJGJOtSREKkFrOItPCKIh17\n",
              "hEjmpcUjIJIIFZECp69q10nSiGRdikiI1GIWkRYQSbdOkkYk69InFakfv/XrC5rrg0h2WURa\n",
              "KBApZ/7HRBpj/TTkfCFzfeIgkl0WkRx2ZtV+KGv+R0Tql/j96zJs3vocgEh2WURyyBUpb/7v\n",
              "i9QP7kCDnUjTFiKSehaRHDJFypz/x6+R+umpISIhknVpQyINefM/QaTpqWE1kRI8QiTz0uIR\n",
              "nk2ktPmf8og0fj0QqZyuG7/NFwSDAYTZm1Y6819PpMg4Ud6nnxU8IqlneURyKH5qN369ikjz\n",
              "3zNFJLUsIjkgkmqdJI1I1qXPLJL5B7KLSPNzvKSUAEQyHOHJRJJ/IFvrFCFEMssikkOpSPJT\n",
              "hLIQHexJIkTSzSKSQ75IWSCSeey8LCI5vJxIKR4hknlp8QiIJAKRGswikkt4YiGSAEQyHAGR\n",
              "RMgO9vghEiLpZhHJBZE06yRpRLIuRSREajGLSC6IpFknSSOSdSkiIVKLWURyeQWRxt+hQCTd\n",
              "LCK5vJhISR4hknlp8QjXEiltuiWASOax87KI5BIWiUckAYhkOMKlROqeUyTnt/us6iRpRLIu\n",
              "rSbS/GcNnu010oBIBllEcgmI1CFSaZ0kjUjWpdVFerp37RDJIotILoikWSdJI5J1qe1hdabW\n",
              "8ubW84k0fkUkvSwieWxFElc6gyuNo3Owl7//bVUnSSOSdWldkTpEQiTz0uIRLiPS4yoiCUAk\n",
              "wxEQSQQiNZhFJA9PJJ1KZ3ClcRCpwSwiebyWSMZ1kjQiWZciEiK1mEUkD0RSrJOkEcm6FJEQ\n",
              "qcUsInkgkmKdJI1I1qWIVPtgI5J1afEIiCQCkRrMIpIHIinWSdKIZF2KSIjUYhaRPBZ7HKUQ\n",
              "SQAiGY6ASCIQqcEsInkgkmKdJI1I1qWIhEgtZhHJA5EU6yRpRLIuRSREajGLSB6IpFgnSSOS\n",
              "danxYZ39QSRxnSSNSNaliIRILWYRyQeR9OokaUSyLkUkRGoxi0g+iKRXJ0kjknUpIiFSi1lE\n",
              "8kEkvTpJGpGsSxEJkVrMIpIPIunVSdKIZF2KSIjUYhaRfBBJr06SRiTrUkRCpBaziOQz+eP+\n",
              "0TdEEoBIhiMgkghEajCLSD6IpFcnSSOSdSkiIVKLWUTyQSS9OkkakaxLEQmRWswikg8i6dVJ\n",
              "0ohkXYpIiNRiFpF8EEmvTpJGJOtSREKkFrOItGI0CJHkdZI0IlmXIhIitZhFpBWIpFYnSSOS\n",
              "dSkiIVKLWURa81AIkeR1kjQiWZciEiK1mEWkNYikVSdJI5J1KSIhUotZRFqDSFp1kjQiWZfa\n",
              "H9abQ65HiCQBkQxHQCQRiNRgFpE2IJJSnSSNSNaliIRILWYRaQMiKdVJ0ohkXVrhsH5ahEgK\n",
              "dZI0IlmXIhIitZhFpC2IpFMnSSOSdSkiIVKLWUQK0HWIpFAnSSOSdSkiIVKLWUQKgEgqdZI0\n",
              "IlmXIhIitZhFpACIpFInSSOSdWmVw4pIGnWSNCJZlyISIrWYRaQQiKRRJ0kjknUpIiFSi1lE\n",
              "CuF51JxIAC8NIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAA\n",
              "IgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKCAlkj/G/73+f/p4vi/8a7lin/X/7wr7l2b\n",
              "IfbuGi8HRw+tk7eyknU6viuw7uF1mq9F1mnQWafdu8yOncIuDOynQbifBvcuHRDJaoIgktIu\n",
              "DOwnRCo6GIg0IJK3nxCp6GAg0oBI3n5CpKKDgUgDInn7CZGKDgYiDYjk7SdEKjoYiDQgkref\n",
              "nlikHuCSKAmgJlLdoGzzC9OS0lOy8klSMMJZe6kwjUgCEMlwBEQSgUgNZhHJunIBkeqUIpJ1\n",
              "FpGq1knSiGRdikiI1GIWkawrFxCpTikiWWcRqWqdJI1I1qWIBPDaIBKAAogEoAAiASiASAAK\n",
              "IBKAAogEoAAiASiASAAKIBKAAogEoAAiASiASAAKIBKAAogEoAAiASiASAAKIBKAAogEoAAi\n",
              "ASiASAAKIBKAAogEoAAiASiASAAKIBKAAogEoAAiASiASAAKHIu0/+f6538S2vvHoecrzo39\n",
              "sL4lWrSz1HZAUV9Sp0lreA2Wi8o7dlN59I95e63S/n71Pdams4MT/rly/YMqEKmf7uzdpUK3\n",
              "TqsXG21eyrmw0+ctUd6X0mnTuh5/dVF7xwYbYwfCXRdx//xD4bhNaQcfFJp0CkSaG7wDE7q1\n",
              "X1YvtjoHk3o7oLAvodOodVvgXlTfseHC/Znvfe3Xt+b29/H7DXZw2hauN1C4hxNFGh/0euch\n",
              "bjV4v8p4JqeJ5G+bU7nq6zejFPXtdq771FtDgyzDq+/YTaFzpZ/my/rJzGqlyvs9kaZjuo6p\n",
              "7mB/S9znyZul9A5qmkhz6bIb0o/3sFq1/SJ3UnuVm77Y1qf27XaGj7Nia2iQApEKK3v/4v0/\n",
              "d4RkkdL63cno+WK2g71d584lb9P79dKizjSReu9C8HhvZA/toMM3G5Yd7Vdu+jaHt6Bvt3N3\n",
              "K7VaA2uwK5LCjt1U9uumyNQR94cEcgY22MHulNnOo/UQSgc1+TXS8qSn+HgfaO1Nar9y05e0\n",
              "9cc/RiKdxcc5oTWwBiKRMiuHYf0UKzyme7TL+9VFOtzaBJGcpZQOauJTu3F67Yq02d2Bu/vt\n",
              "ktuiZb+7lSZ98U6rrQysQUwki8qleHqfODh1tsMW9Ttb505Kfx6rbq0nkr+JgcWU9nBUJP8I\n",
              "R0TaroxUpO1Pkt09Xtq335lynCWt7hBxkVR27G57bN/20xzsh9BSmSI99milHeyJtLlxvZjS\n",
              "QVURKXC464lU3LffmXCcRa3uGFGRdHZsoHXwNzgokr94cX+hSIKtdYfeziObzgyR1q+RlvUM\n",
              "HW53M/w9eNgWqNwZUNa33zn0sWHlravyfvA3VXvHhmqXgqk9XLBzIaN/mpC9t6DlYd344G3r\n",
              "MITepJR2HrxGmh7Z79/XIg3Ond5JLcvt6007PkVo2Wa3chN316G0b7/TutUdZkr0djs2VOsH\n",
              "e3+E0ClCxf3ejFy9YbgO6+xg/ylp8HMk/YPKSatBcublE/Bim2sBIgV5sZn1YptrASIFyHqi\n",
              "9Ay82vYagEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEo8H+6\n",
              "E3Jf3WnIMgAAAABJRU5ErkJggg=="
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAPFBMVEUAAAAzMzNxcXGGhoaW\n",
              "lpajo6Opqamurq64uLjCwsLKysrS0tLZ2dng4ODn5+ft7e3z8/P19fX/AAD///+6mG5OAAAA\n",
              "CXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2diaLaOBJFTZJ+SXeSTg/+/3+dB94kW5Kl\n",
              "UpVszDkznQfYV+VFB69A1wNANd3REwBwBRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQA\n",
              "BRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAA\n",
              "kQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJ\n",
              "QAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAU\n",
              "QCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFEAlAAkQAUQCQABRAJQAFE\n",
              "AlAAkQAUQCQABRAJQAFEAlBAU6Rf32+3L9//fTy83W6PP79v355DPgfc/ppGW57cBr7++G+J\n",
              "PPl2+604XQDmKIr0Y/TiRz9b8fX28zno+fo03vLkNvHlP1+kn7evetMFqvz5fCP89nyf+/3t\n",
              "8x1xesf7May9x2vfnHfB0DjrIUuLA/9Na7+s1DJk3eDPr7ev/6zG0UZPpL9nLX5NVvy63R7b\n",
              "ms8N04Nxzpwnc+IhnyvSf89G4IT8uU3r77/h0XMP5PEu+vjza+4BA6Fx1kOWFkd+3v4WlFqG\n",
              "rBv8+Xz6jzeOOmoi/Rmm9d/Pt4mvkxVfxz27z4n/a9hS+U9Gdz5n9Isv0ue+HZukc/L9sep+\n",
              "PFbPP49H34dO/33eBfn9eKucV15onPWQpcWRb6MxZaWWIesGH2P+enSxzUQooibS36Mcf77+\n",
              "/We04tOt4a3l6+eW6TbOifvE2cVbifTZ2h+tKQNNvjzX0mNd/fXo7/8+D3e/fPl9m1+f/n0Q\n",
              "Gmc95Msq0089pazUMmTT4PJ0NRGKqIn0zev6Tyv+GTe8fx4nF/4ah7tP4lukX/OmGM7I4+3e\n",
              "6a8/po7617CZmE8shcbZDJlbHPg17buUlVoX8PdpxkZ/bATTQk0kf5N5G95Hhm30p1A/H7b8\n",
              "s34SPUb6fPdxlhCcjV+P1edvEsa/P6bTTe6rq3ECQ4YWB757p2yzS60K/PLeif9autMLivR1\n",
              "fOm5sfrcnfu2fjJ79C3QAAdJp+XPl2GF9f2md//1WJ3Le2CuSEOL45AvolJ+AbfBT358ncd8\n",
              "QZGWQ6CHFF+HU3juk0mjH5EG4JSMnTTUu388tgOPUwPPFRscJzTE7fa/b99FpdwxZv+WbvRz\n",
              "2nidXaRv09nJJ65Iv+YNz6/Vk5v/FoVIL8G/Y68fe/e4/fDOAHxZ6eKOExjyr7v5+OGc0S4p\n",
              "tbw251yRgptFRdRE+jHur/67nLWbz0ZOfF89QaQX5Oe0k/R1OZXWr3r3vO5C42yG/PR20L4s\n",
              "IxWVcp75DX62+F//OiL9O15H+vo84nGPkb7M7nxZPUmK9K2HE/J7XjE/hjfG8Zh+OpX287G/\n",
              "Na+70DjrIb+9Vf1n2bMrK7UM+b3qOz8eV2H+mdo9u0jzHULPS8pPK77fhjeScRY+Dw5/e082\n",
              "Io30TghOxrd5Jf07PPhveH1YleNr805+aJz1kKXFB38ve3ZlpZYhfoN9/9/z3fvLn+1EKKJ4\n",
              "r9201zbfa/fzeSD092284e7z6d/ek4RIv6bx4GQ4K8m72W1clf9+vkP+5XTu0DirITev339d\n",
              "xiks1S+7e75Iz3vvvv/x09qo3v39l3/393/POxu+Tu8kf263r96ThEh/z28/AK+A6eeRvokP\n",
              "dORJgCMwFemXeLvC3d/wWth+Qvar8EiHzyPBi2Er0vpEZC58QhZeDL6zAUABRAJQAJEAFEAk\n",
              "AAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQ\n",
              "AJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUQ\n",
              "CUABRAJQAJEAFEAkAAUQCUABRAJQAJEAFEAkAAUOF+mjYaoyXVP0kGzdUhK28BnppL3qgNVa\n",
              "v4wGEKlN0TcTSditEEkOItllEcm65AIitSmKSEblatOI1LwmIuVGEOkAEMkui0jWJRcQqU1R\n",
              "RDIqV5tGpOY1ESk3gkgHgEh2WUSyLrmASG2KIpJRudo0IjWviUiZkQ6RDgCR7LKIZF1yAZHa\n",
              "FEUko3K1aURqXhORMiOIdASIZJdFJOuSC4jUpuh7iST9IAUiyUEkuywiWZdcQKQ2RRHJqFxt\n",
              "GpGa10SkzAgiHQEi2WURybrkAiK1KfpGIj0kQqTmIJJdFpGsSy4gUpuiiGRUrjaNSM1rIlJe\n",
              "BJEOAZHssohkXXIBkdoURSSjcrVpRGpeE5HyIoh0CIhkl63tJKKbT58ZRGoOItllKztJJ7qN\n",
              "G5GOAZHsslVL6WkRIuWCSG2KvpxIw9ZIKpLQJESSg0h2WXnRaacOkXJBpDZFX0uk+eAIkXJB\n",
              "pDZFX02k9YPSLCK1BpHssseIJA32iFQDItlljxBJvk/YI1INiGSXPUSkD2HwASLJQSS77AEi\n",
              "dWuRilpAJDmIZJetF+mj1KSu34hU0AIiyUEku2x7kTpEOgpEssseIFKPSAeBSHZZfZH2rECk\n",
              "w0Aku6w0uPT9rUjJDtMh0mEgkl22vUhL0WlERGoEItllW4vUIdJxIJJdtrFIwzBEOgZEsssi\n",
              "knXJBURqUxSRckAkOYhkl20rUodIR4JIdtnWIrlF57vAEakNiGSXRSTrkguI1KboK4nkdP2P\n",
              "1b0MCS86RDoURLLLNhbJK4pIjUEkuywiWZdcQKQ2RREpB0SSg0h2WUSyLrmASG2KvqFI3U4g\n",
              "ACLJQSS77JEi9dN3HiNSGxDJLisLuj2/QqR+/BZ+RGoDItlldUXa2cBsRBrGRqRGIJJdVluk\n",
              "5A9UBETqS38ZBpHkIJJd9kCR7p9sm9sDkeQgkl32OJGeEg0uIVIbEMkue5hI9+nFx4YJkZqA\n",
              "SHbZo0S6e6/fQ2OHQSQ5iGSXFQU9UT6c54iUApHaFH0nke6r1/NNQiQ5iGSXNREpZtIs0n3z\n",
              "esSkbUOIJAeR7LItRZpfDYq0nA33hqxbQiQ5iGSXPUSktTCPAdPZcN8nRNIEkeyypxHJ5e4M\n",
              "QSQ9EMkuqyLS/EJCpOVOoPt9XdQdvfMOmLr1JaaSa7cBEKlVqjKNSHGRhkGPHbegSMvH/Nyr\n",
              "td3q0KnoBtctiNQqVZlGpB2R7qGiY2b6mF8/Hyzd52dOM5Ipdie2TSgAIrUpeiGRAiYNg+7B\n",
              "oluRnNTwYLm/FZHEIJJd9owidV5oejyohEgVIJJdtpVIw+f37pGi4wcCpxG91DLWcKM4IolB\n",
              "JLusJOj35UGk+UxBSqS7E9m0iEjmIJJdVkekPkOkvlqkfj77IAaRWqUq0+8t0nKtKCTS8rGj\n",
              "mEid10a/Eanv+6LPLm1BpFapyvTbixQc5fmCszGpEGlzhbaMk4p0+2TzQKmqAyLZZdVEWl0+\n",
              "Wgnw2K3TEanks0tbdEUq7P9RkW7jf4EHqiCSXVZJpD4p0nB3gkSkzabtTCKV9v+YSLfp3+0D\n",
              "XRDJLmsu0iSRRKRuI5J77k+CpkjF/T+9U3pzHiDSG4vUBUVyvnBrGZop0qrJscxpRBoo6P+I\n",
              "1KboS4u07vXjw/CNPbkibWr1zu0RIs4rktsOIiHSapzwN0BGRHL/TKGzi1TS/7VE+oBr0HWR\n",
              "F50Bw8P7+EowsQ07fx4vBpIPkT6bFU+6jAYiee2wRXrrLZJ/ZuDxeD7lLdkira/xTlUez8Tb\n",
              "JO0tUlH/T4jkt4NIbyFSxIqESOurQQmR5j3EZf8udM+Q1CRlkcr6f+KC7OoBIiGSM9Z87Wh9\n",
              "MShLJKfVs4pU2P+TF2S3D7gg27ZkXdZQpOVmbYFIXVokqUnqF2S3DwQXZAecB9wi9NYieXtw\n",
              "3X0WaXOfz75I/jXZgEhCk1QvyJb2/6q7BDVAJLusnki9J9Jwl3a3vk4bKbpsh15IpGIQqU3R\n",
              "C4l0v09nDMxEkpmESK1SlWlEenCfRqsXyd9jdIcgUjGIZJctD8YPeEIirQ+dwkURqQmIZJe1\n",
              "EOk+jzeKtFsUkZqASHbZM4rU++5ERBKZhEitUpXpNxfp+We549txI10UkZqASHZZTZFGZCIN\n",
              "YyGSJYhklzUVyfmTjohEkpiESK1Slel3EGmnhal7jz1eRaRuPZ5XqQBEapWqTF9fpN1z2Zuf\n",
              "tUSkEURqU/SEIgUs2Dvg2f4an0gkNx8TSWASIrVKVaYvL9LumYOczl0oUo9IOiCSXbZYpJ0W\n",
              "svp2SqR1WUTSA5HssrsidasXdlqoFGku6z2OiVRuEiK1SlWmLy/STgt5PRuRjgGR7LL7Inmr\n",
              "H5EqQKQ2RU8pkt9xA3t2XguZHVtNpGKTEKlVqjJ9dZF2WkCkFIjUpuhZRXI7dbqF3G6NSMeA\n",
              "SHbZXZHcnhvsCUsLd0RKgkhtip5epOAGaW4hW6NQUf+kBiLZgEh22RyR5m6caKFAo3KRlhtg\n",
              "NzYXmoRIrVKV6QuKNHfd8AZpaKGsP++L5A1BJCUQyS6bJdLYjeMtVHfn0Mf/5iGIpAQi2WUz\n",
              "RPL+DbdwnEjV20KrUABEalP03CLFOvqjhfpDfkRqASLZZZNBp/8eK5Jj9Ga8ouKI1CpVmb6k\n",
              "SOEO7LSgcBJaLlJRdURqlapMX1Ok7c2rXgsat44mRPL/DYxXUB+RWqUq0xcVKbHrZS2SOyWI\n",
              "VAci2WUzRUq2cLRIBROASK1SlWlEEhbNFumjyiREapWqTL+jSCrfnLAj0nLmEJHkIJJd9jwi\n",
              "pSOIpAAi2WXPItIeaZHkn4QyCwVApDZFEWlvUhCpDkSyyyKSUSgAIrUpikh7k4JIdSCSXbZe\n",
              "pEZfZT9dQ0IkOYhkl72ISOLvLzILBUCkNkURKQUi1YNIdtlUMMujhiI9pweR5CCSXRaRjEIB\n",
              "EKlNUURKgUj1IJJdtlqku6C0aGrHT3JERJJ+fb9ZKAAitSmKSEkQqRpEssvWinSXlJaK9Mwi\n",
              "khhEsstWinQXlUakY0Aku2ydSHdZaQuRhD+6aRYKgEhtiiJSEkSqBpHsslUi3YWlq+YUkcQg\n",
              "kl22RqS7tDQiHQMi2WUTwTyPTiNSlkmI1CpVmUakyqL7WUQSg0h2WblIU79FpFwQqU1RRMrK\n",
              "xicrwyREapWqTCNSZdH9LCKJQSS7rFikudciUi6I1KYoImVlEUkMItllryRShkmI1CpVmUak\n",
              "yqL7WUQSg0h2WUTKKCkJBUCkNkURKSuLSGIQyS6bEimVW/rsiUTaNwmRWqUq0xcSKXODhEjZ\n",
              "IFKbomcTKZk7g0iCHzhHpFapyvR1RMq8r+FYkYpNQqRWqcr0ZUTKvPVbVhqRjgGR7LJCkZwO\n",
              "eyqR9kxCpFapyjQi1RTNyqZF2jEJkVqlKtNXEWnvR8YRSQAitSl6LpHSsbOIVGoSIrVKVaZf\n",
              "VyS/T+ZvkE4nUtIkRGqVqky/skhdvwiESLWhAIjUpuihInWTSN3wLJ06tUgpkxCpVaoy/aoi\n",
              "Tb8+NIm0k0IkCYjUpuihIvWuSCUbJETKBpHaFD1QpG4l0k7oNCKFlUekCIhkl30Gl81QNyuV\n",
              "4uQiJUxCpFapyvRLirScYBi6ZtaPUNSURqRjQCS77FOk4eFo0d5NDet+iki5IFKbokeJ1K1F\n",
              "2ssgkgxEalP0MJHGh4ikGQqASG2KHiRStxZpN4NIMhCpTdFjRMrolytW3bS1SGvzQ0RNQqRW\n",
              "qcr0a4uU5REiSUGkNkURKS+LSFIQyS6b/HarMIgkBJHaFH0Rkdad9DCREjdhIFIQRLLLIlJO\n",
              "SR0QqU1RRMrLIpIURLLLFou06aPNRZrsQaRSEMkuWyrStosiUi6I1KboK4gU6KGIlAsitSmK\n",
              "SJnZfZGiJiFSq1Rl+uIihfonIuWCSG2Knl+kYPdEpFwQqU3R04sU7p2IlAsitSmKSLlZ77Px\n",
              "QRApBCLZZQtEinRORMoFkdoURaTcLCLJQCS7LCLlldQAkdoURaTc7L5IihOLSAfUvLJIim/y\n",
              "iHQMiGSXRaS8khogUpuih2Sr9+yOEGn5juX45Kudq0ekA2oiUhZ6IpVukhCpVaoyjUg5INIx\n",
              "IJJdtvoQ6awiqd0YiEgH1ESkLBDpGBDJLvu6Ii2n7sIg0gZEssteVyStD08h0gE1ESmL+jmd\n",
              "vxsSkQpAJLtsrkiqP/CASMeASHbZC4uk9AUTiHRATUTKApGOAZHsslcWSedL+BDpgJqXFSnu\n",
              "ESJlg0htiiJSfnb5LacykxCpVaoyjUg5KMwpIglAJLtsnkgJj04tksZPZyDSATURKQtEOgZE\n",
              "ssteXCSF3+lEpANqIlIWiHQMiGSXzRIp5dHJRVpNOyK1SlWmESkHRDoGRDLL1nt0mEj96kEE\n",
              "RFpAJLNsjkhpjw4SaQaR8kEks2yGSDseIVI2iNSmKCJJsrtz4E0/IrVKVaavJ9KeR0eLVLZJ\n",
              "OqlIt0+mB73/QBNEMsuWvZ9rlb6KSIX9Pzqht/G/wANVEMksW3aEoVX6IiKV9v/YhN6mf7cP\n",
              "dEEksywiSUoOFPf/9IQiklbRE4qU4dH7ijSASCZpRMoBkYLtIJJOUUQSZYvOl6iLVNL/tUT6\n",
              "gNPRdcnB90aTUcPOLGjMRAOR5nMVbJGqi55vi5SzQXrvLVJR/09M6M3/F5EQySgSzx4pUln/\n",
              "T1yQXTWHSIhkFIlnDxSpsP8nL8jOD7ggW1sUkUTZ40Qq7f/RC7ID48P5teLp3AWRzLKF36+o\n",
              "VPoaIhX3f25abVMUkWTZEpP0ryMVgEhtiiKSLItIuSCSWbbwxxyUSiPSMSCSWRaRRCVlIFKb\n",
              "oogkyyJSLohkli385Uil0oh0DIhkln0LkZxZQaRWqco0IhlFEllEygWRzLKIJCopA5HaFD2X\n",
              "SLkeIVI2iNSmKCLJsoiUCyKZZd9DpGVmEKlVqjJ9GZGyPTpepJJNEiK1SlWmEckoksoiUiaI\n",
              "ZJaN9cF8jxApG0RqUxSRhFlEygSRzLKRPljg0UuINM8QIrVKVaavIVKJR4iUDSK1KXoakYo8\n",
              "QqRsEKlNUUQSZhEpE0Qyy4b6YJlHiJQNIrUpehKRCj1CpGwQqU1RRBJmC36aHZFapSrTry9S\n",
              "qUeIlA0itSl6QLbrNsEXFKlg3w6RWqUq0y8vUrFHiJQNIrUpikjSLCLlgUhWWUSSlpSASG2K\n",
              "nkGkco9eRKRxzhCpVaoyjUhGkWQWkfJAJKssIklLSkCkNkURSZrNEWmYNURqlapMv4BIbq9b\n",
              "iyTwCJGyQaQ2RZuJ1DmP30ek58whUqtUZRqRjCLJbJ5Ij7lDpFapyvRriNQtj72gxCNEygaR\n",
              "2hRFJGk2U6TP+UOkVqnK9EuItHS8i4iUbxIitUpVplW6SJfbL0R1EUmlpABEalO0jUiPtiMi\n",
              "iTx6KZGavVUEQaQ2Radsh0ilWUTKApEU615ZpJIfeKktKQCR2hRdRMp/hy2vGxdJ5tG5RCr4\n",
              "XebKkgIQqU3RMdshUnEWkbJ4N5EK9vnL60ZFEnp0CpHGOUKkNIikV/fZ8vuK9NHoJqggiNSm\n",
              "6LEiST1CpGwQqU3RQ0USe4RI2SBSm6JDduoSRnX95meR5B4hUjaI1KYoIsmz44YWkZK8sUi5\n",
              "QuXWXV25nESq8AiRskGkNkXDIuUt/TqRajw6h0jTkeXe4vpo9K0UQRCpTdHDRKryCJGyQaQ2\n",
              "RUeRhn91RXJO062aRyRxyWIQqU3RZ9a/2SX7/tVdkfxjLk+kOo9eTaQ2X8ocBJHaFB1EGp8M\n",
              "CimKNDI9n/4ikrhkMYjUpugj636dwtAv8kxK1Z3acay8pEg5V7JFe7KI1LxmvUjO825ySVh3\n",
              "FCfUCCIplCwGkdoU/Vj3gzqRpk3QnkiVHiFSNojUpuhHcFFLRZqPsdxdunWjbylSi5+bDoJI\n",
              "bYp+BLtB3umGkEhTOnTGYj57dzGR9kxCpFapynSlSIFX807cxUSamogM/hSp1iNEygaR2hT9\n",
              "iHWCDJPcut26RwVVRKTaksUgUpuiH7EFXS5SlyHS0O0QSVyyGERqUzTaB+pFCrb6/O8dRSo1\n",
              "CZGa16wpGu8CZSLlXsgdxqn2CJGyQaSKWOYtPskxS0XKullm3ONDJHHJYhCpIpb/ranNRXqu\n",
              "WEQSlywGkSpizUXq8kXqpT/PECltGdnLIlIG7y5ShhSuSP07i7Qz34jUKlWZthDpfjcTSfgT\n",
              "dpHSlpHd7HThGpHivLdI94dKM3t15zu+8zZIiFRRshREqojl/0ZLZLy7PyiikiNSQVXprxOH\n",
              "S5tGdrMlIhWahEjNa+qLdN8MCm6XBCINzVxJpPFvRhqRzFOVaW2R7nMjXjsbmVYi7e5RznlE\n",
              "kpcsBZEqYlUiTb09+KkiT6Wpbpcn0hJFJHnJUhBJHss+D73tAds9uO0Ym7rTKGmRnIYRSV6y\n",
              "FESSx7rw5+qmgd6dpV42dFJh2858Jq9IpNCmTM4rilRmEiI1rxkSKWLSenct43eRoyfI784+\n",
              "4OpBaPTUBJdzMpHSJiFSq1RlOiRSWKXpO4KW9S8W6VH3qdJysSkhUuQshZiXFKnIJERqXjMi\n",
              "0nQDXOcN6bzNVcbvIqdEGo6pxjEe90IgUjKNSMapynREpOlgKTxkvBmhUqTeVfVTpfCI62Mv\n",
              "RJKXLAWR5LGoSN7R0bBp0hBpGTVwtiJ0KfddRSoxCZGa1ywRyRurUxbp2cianAkuB5FyQSR5\n",
              "bCXS/Gy1up8HTLsruVCkLN5WpAKTEKl5zXXM3dfyztCtTwYgUm0Wkfa5hkjLTQ6bEw+IVJ9F\n",
              "pH2uIFLvitRvVneWSPE+knVVP8j1REouhd1rdSUlS0EkcWwjUsChefD+qdmESF1yeBxEkpcs\n",
              "BZHEsZVI/fTfls9X5SLlfagtyIVE2j7aSeeahEjNa65imwtHz/92s4hUlUWkGFcSKXHvTrVI\n",
              "Ao8QSaVkHogkjW2vwKbuyp6y8fUb0bBDJBdEinEJkWKvbLMCkXpEWsgWKdckRGpec1eknGyp\n",
              "SB0ieSBSjFcVqbBjj9nE2o2J1COSAyLFQKS5wZBJiOSDSDEQaW4w/FFbRPLIOKEzgEh2qcq0\n",
              "G8v+Ii4/mxQpdv4CkRwQKcLLiiTJ7qzc9ccv3NuOEGkgW6RMkxCpeU17kfxWO/eeBolHiKRT\n",
              "MgtEksVsROoRaQ9EivCaIhX362d2f9WubpeYRSo9JHOKVoFIuSCSJFberTNF8m8pXx6IPEIk\n",
              "nZJZIJIkJrsRO2fNhj4wgEgO8SWxGZJlEiI1r7nEZJ9oyFqvYZFke3ZvJ9JqECJZpSrTi0ii\n",
              "bKZI28+CSj1CJJ2SWSBSeUx2SSfzAuH8iQxECoJIEV5PJNkJtNzPx4RFElTsEUmpZBaIVByT\n",
              "Ha6Ui+S8hEgzBSJlmYRIzWuOMVmvzv5Wm8DnYRHJAZEivJpIwk6d/42FW5HEM4tIKiWzQKTC\n",
              "mHCDlF8SkZJEl3/glAwiGaUq061EWt9ah0gOiBQBkdYgUooSkXJMQqTmNRuK5BdBJAdEivAW\n",
              "It1LSm7uCEIkB0SKgEgbECkBIkVApA2IlKBIpAyTEKl5TblI97KSiJQgtvzDnzVBJJNUZRqR\n",
              "rIsikhxE2oJIcRApAiJtQaQ4iBThDUS6l5Zc1UAkB0SKgEh5dZsGa1o4lUj7JiFS85qIZF4U\n",
              "keToiZTfxduKdK8oudRtGqxpAZGOQVOk3JlBJMMWjhFpc6fvCCKVpxBJLVjTAiIdg5pIBd+1\n",
              "g0iGLVjPaXgFIJKeSPl9vKlI95qSdVlE2jcJkVZEDjYVayKSeVFEkqMmUkEfbynSvapkXfYd\n",
              "RBqfnlqk2/jntn6giaJI2Z28oUjTekQkrexGpG56VVukov6f6BZj7DY1OT9QRUmk7XfvqNcU\n",
              "iHSfVyMiaWWDIsVXv1yksv4f7xa3Jf78d2lWFS2Rnv+cTCRnJSKSVrZQpD2ToiUL+3+0W9z6\n",
              "VxKpayWS0CNEUss2Eqm0/+8fI916d6t2VpGGf08lkrcGEUkrWyrSjkm7x0iZ/T//ZMOZRepO\n",
              "KJK//hBJK7sVqTMVKbP/a22RPo6k6/y/DUrtc7ecjDdmtQYeIo0vRtbNzorQ6f/7Ir3CMdL8\n",
              "VpS5vWCLZNjC6bZI6U3Snkhqx0iI5MWyRVqtPUTSyiJSGETKqts2WNPCASI5F2VDnEOkV7gg\n",
              "i0jKwZoW2t8itCdS0qTsYyTxBVm9W4SSH3BApKy6bYM1LVxNpPpbhLTYfCm8h6pImf0ckQxb\n",
              "OKFIKZPql9E4HUrtpEokP+BQOCNjS6cXab3qEEkr++YiResUi9RtU4ikHKxpob1I/fuIlJhH\n",
              "bZFyPnBuL9JmzSGSVhaRwpSL1G1SiKQcrGnhEJFCQ1ziJr2vSM+2Ti7Sdr0hklY2IFJ4iMtl\n",
              "RIrPZNmMTBvymEj9vJ1PkaiZCiOSdVFESpboUoXKRerTImX09aRI6ROMWSIFVhsiaWXfXqRI\n",
              "JYFIn/+mRdqbqbRIyb3QHJFCaw2RtLLvLlJsNvVF2u/stiIFVxoiaWXfXqRIqdOJlD6c2237\n",
              "Hl5niKSVFYkUN+kVRQrWKpqReeO2I9LOXBmKFFthiKSVjR8Qv4tI4VoGIu32djORIpujdMld\n",
              "EMkFkcIzeiWRjC6gI5ILIoX3uS4kkvBu/V0QyeXtRJqt8Q4HN/VsRErPFiIZtnBOkUwOXr0J\n",
              "UWon0HLw7vbNzJbMyKLmlIpcojITSeoRIullo/3pyiJt7g5SFalzvvkiOGIEsUipTZ3469N2\n",
              "QSSPhEiCt7lXEGmcNTORuoRIyfmSiiRaU7sld0Ekn9hW6OO6Ii2bJe9VF4lIk6Tj9i6w/KxE\n",
              "igel39WeASL5vKNIvZlIzhEYIhkUFbdwUpFiK+hVREqdZXlSMCPeeXSn+aBIqRkzEMnyh+EQ\n",
              "ySchUvk73elFisyTnkjLi6FSiFRZVNzCgSJJTqoi0vZhRvndmkKRTH+FHpF8ECn0cq1Ikb24\n",
              "4cXyW7GDJwGnGKxYCscAABG1SURBVCIZF0WkQMNHi9Q9l13hh4PCZ9OnWHTIrkeIpJhNiVRs\n",
              "0quKtHk9f0acZBd57I/9XHL3gbya2wvIXgyRjItmZr2176URqazFLJG8BeepFKs5n1APExVp\n",
              "3yNE0sy+k0jROWookv+6o1JUpPAkzjFEMi6qIFLpiVVE2qt03wyZl2SkZvjK10JMpAyPEEkz\n",
              "GxcptUl6HZFyure+SDG2Is0bpXBN99JUkIhIOR4hkmZWJpL+t9J406TUzrMt934DU5EyUvfg\n",
              "Qh3OOwTT7nnAcJNhkbI8QiTN7FuI1I0P4yP5z21Eem57Ynti4atL+1vToEh5HiGSZtbZB7+o\n",
              "SPMVnoNFugdLLenAIs3YLQ2JlOkRImlmnf2eTacoPUg6q0jjZulYke7hUks6JFK4kBdDJOOi\n",
              "udl5v+fCInl7ePGRZgxEmhZYXKTtMo1dLfdi2wG5HiGSana64Nd5/XdPJPXvkvYmSamdZ1tZ\n",
              "ja3GOodI3qiIVNNCS5EC6QuIlOeRWKRu8+YTYV5cCZHWyxSR1FpApOqmXkmk1UIVipTtESKp\n",
              "Zqej8UAakYpy9SL5SxWR1FpoKFIojUhFOQWRvMWKSGottBJpe0JrVyTtX4DzJkmpnf40Ii0L\n",
              "a0ck98qsTKR8jxBJNTuIFEwjUlFORaR+uGVoc7YekWpaaDKnXegbARCpPJclUtwIP3AXilTg\n",
              "ESLpZoOXKi8iUqZH+SKtRswUKXrkE00/PrmESGotNBMpnE53Q92fm/emSKkdE5Hi3VtXpM7/\n",
              "OHosVrFnh0i6WUSyFil8UjtQc3lp3k2YXMoUqcQjRNLNSkXarrTXFWk1YlKk6Lm0YpE2Nf1v\n",
              "xpseDypFZgWRrIuWiBRJI1JoPO9bt7JSQpGcBu6Bj9aGJqHII0TSzYpF2qy2s4mUuuF7M6r7\n",
              "bE+kaey8VOTGnx2R1o0gUkULiFTXTrZHJSI5+13KInUJkfo7IslbOGROl/RuP1ytt7OJVFIy\n",
              "okTkow3BXxOLzH7snm4Dkco8QiTzLCLNJDRYX8i2FakLW4JI1kVbiLRac+8kUuAI7HCRCj1C\n",
              "JPMsIi1EPyOUKVL0c68bkaJnMcaXwt8zhEjGRZuI5K+71xbJmdujROqTIgV/EMYZs9QjRDLP\n",
              "TunCTdJLi9RFRIp/2K5OpLWHGSKFfltpddm2CESyziKSQ51I0Z4vEmnryzRmuUaIZJ/NF8lb\n",
              "gS8tUmzXLn7L6Xrp5InknkH301kiRc5dSDxCJPPs+4nUexuYPJHWhGY/flQjFSl40CbyCJHM\n",
              "syGRIl3oOiL1BiKFOjgiVfLyIu2adFGRcj7fGkj1kf5dK1LgoE3mESKZZxHJo51Iy8DE1G03\n",
              "kYhkWLSVSM5afHmRpsLrGcn47pJAKtK/F1e8xipEEnqESObZ9xSpVxYp0r/rRVpvIhHJsigi\n",
              "ldeNibT/FfiBVKx7D2041kxpV6TExPltP254SExTEkSyzhaJtKzI64rU73xzQihVIVKojP+a\n",
              "+6UoiGRaVFmkxKdN30GkcS4LRIp27xyRUhPnNx+5lzULRLLOvq1IY+XoPQptRApWWb84fltX\n",
              "hUeIZJ59U5H6pEiP+cwXKd6/M0RKTdtqmiIfnM0CkayzK5GGNRzvRFOnQSRv5GSRhEjhIpHS\n",
              "ySnaAZGss75IHSINRL8Ta5tK7HDti5SctryXs0Ak66wnUvdOIg2lYzMS+06sfp1KHbjsiRSr\n",
              "kXXkVAQiWWddkcZVG1/BFxKp3xHJ/fWiLUsqeQJgV6T0tGW8mAsiWWc9kYatUUqkqeNcX6TH\n",
              "VZt7zKY5lT6RtpyYC4oUXcyIJG/hBCJNe3fJdfZOIj0J2pQpUuQ09yzSXu39F3NBJOvsIpJ3\n",
              "uiE69oVEetbeFelJ8Itmo9srvxFEalr6BCKNf/v0OrsrlFw4TqS+RKTt92PuSzQ1EhBpbyEj\n",
              "kryF40VyXkKk6H06Ax+ZNxmkRNqdtJwXc0Ek62wwjUiB+3Smv/FTEOFGllN3E4hk2MKpRNo3\n",
              "6f1EGg0qex9BpDoQKZcDRRpmMl8kF0SyLipu4XVEepp0FZEKz5xNiERa7jhHJLsWXkikh0kX\n",
              "Ean0ouiEVKTx2hUi2bWASM1pI9JyWSHy63+5tRHJvGhrkT5NuoZIibuh0kugXKSp2t5lunhx\n",
              "RDIv2lyk/n4RkeJzaiPS7o0j8eJdd1QXQSR5endVI1JmCVek6Q8iGbaASM1J7mZZibQcKe1N\n",
              "2eY1RLIuikgVE2AqknM2o/P38YonCpHsiyJSxQQ0FynjrAEiyVtApGM4QKT9NCLJW0CkY2gm\n",
              "UkkakeQtINIx2IskSCOSvAVEOgZEsssiknNfi0lJp5BSO/IJQCSzLCItIsW609VF2tkkI5J1\n",
              "UXELiHQMJxVpG0Mk+6KIVDEBZxQpdPsDItkXRaSKCTilSAGVEMm+qL5I/XKHpUVJp45SO/IJ\n",
              "OKlI6+jnE0SyLmogUo9IKVqI5E8EIjUoaiLScGs0IgUpEKkijUgXEGn6Rn2Tkl6VYzEWqSqN\n",
              "SIiUCyIlcCaiQ6QGRW1ESn41CCJVIBLpuC6CSHVpRIqDSNZFxS2cUKTUh6IvLtLeTbsNRZou\n",
              "RCCSfVGj1YpIUZqK1I3/IJJ1UUSSE/7W03OItBynPqcHkayLWq3WxBdHIVJNzdwREaltUbvV\n",
              "ikiRVF3N3BERqW1RRJJzcpE6RGpYFJHkBEUy/qR9kUjjZqmyKCJZZxHpJUSqLYpI1tmddKxL\n",
              "IVJNzdwRpx+vQKQ2RRFJzizS6g7RnVRdzdwREaltUUSS44jk35CTTtXVzB0RkdoWRSQ5IZF2\n",
              "PWol0sD8i5ntSupkEWkBkcKpupployNSq6KIJAeR7LKItIBI4VRdzbLREalVUUSS8wIiaRRF\n",
              "JOssIiGSVRaRFhApnKqr2TR2XBaRFhApnKqr2TR2XBaRFhApnKqr2TR2XBaRFhApnKqr2TR2\n",
              "XBaRFt5RpH2PEMm8qLgFRDoGV6TA7auxVF3NprHjsoi0gEjhVF3NprHjsoi0gEjhVF3NprHj\n",
              "soi0cKRIt/HPbf1AE0SyyyLSgkCkov6f6LNj7DY1OT9QBZHssojkEOlV8VBZ/4/32dsSf/67\n",
              "NKsKItllEcmhVKTC/h/ts7febai3E2maQ0RSzyKSQ6FIpf1/9xjpNu0aIhIiWRc9kUh9Yf/f\n",
              "F2naNWwmUoZHiGReVNzC1UTK7P8ZW6Tx33RDH3K6bvwzP6hoDCBMrFvp9H81kcR8TO8VbJHU\n",
              "s2yRHMS7duO/ryLS/H2miKSWRSQHRIqk6mo2jB2XRSSHo0UyvyC7iDTv42Wl6mo2jB2XRSQH\n",
              "oUj1F2Rb3SKESGZZRHKQilR/i1AbHjMySYRIullEcigXqQhEMo8dl0Ukh7cTKccjRDIvKm4B\n",
              "kY4BkeyyiOQS7liIVFmzXey4LCK5vIFI00UkRNLNIpILIsVSdTWbxY7LIpILIsVSdTWbxY7L\n",
              "IpILIsVSdTWbxY7LIpILIsVSdTWbxY7LIpLLO4g0foYCkXSziOTyZiJleYRI5kXFLbyWSHnd\n",
              "LQNEMo8dl0Ukl7BIbJGqa7aKHZdFJJdQz+quKZLz6b6sVF3NVrHjsojk4vas+WsNrnaM1COS\n",
              "QRaRXAIidYikUbNR7LgsIrmERLrcWTtEssgikgsixVN1NRvFjssikofTtZaTW9cTafwXkfSy\n",
              "iOSxFam6pNO4UjtivBlZvv+7JFVX0zx2XBaRPNYidYiESOZFxS28jEjDU0TSqmkeOy6LSB6I\n",
              "tJOqq2keOy6LSB6eSDolncaV2hGDSHZZRPJ4L5EEqbqa5rHjsojkgUg7qbqa5rHjsojkgUg7\n",
              "qbqa5rHjsojkgUg7qbqa5rHjsojkgUg7qbqa5rHjsojk8UYiGacq04hkXRSR5CCSXRaRPBBJ\n",
              "K1WZRiTroogkB5HssojksdjjKIVIzWsiknlRRJKDSHZZRPJAJK1UZRqRrIsikhxEsssikgci\n",
              "aaUq04hkXRSR5CCSXRaRPBBJK1WZRiTrosardfYHkepSlWlEsi6KSHIQyS6LSD6IpJSqTCOS\n",
              "dVFEkoNIdllE8kEkpVRlGpGsiyKSHESyyyKSDyIppSrTiGRdFJHkIJJdFpF8EEkpVZlGJOui\n",
              "iCQHkeyyiOSDSEqpyjQiWRdFJDmIZJdFJJ/JH/dL3xCpeU1EMi+KSHIQyS6LSD6IpJSqTCOS\n",
              "dVFEkoNIdllE8kEkpVRlGpGsiyKSHESyyyKSDyIppSrTiGRdFJHkIJJdFpF8Li0SQCtCIqm1\n",
              "rd8kwEkZDUIkgBoQCUABRAJQAJEANBgUQiSAKhAJQAFEAlAAkQAUQCQADR4OWXiESPBWIBKA\n",
              "AogEoAAiASiASAAafFqESAC1IBKAAogEoAAiAWjQdYgEUA0iASiASAAKIBKAAogEoAEiASiA\n",
              "SAAKIBKAAogEoICJR4gEoAEiASiASAAKIBKAAogEoAAiASiASAAKIBKAAogEoAAiASiASAAK\n",
              "IBKAAogEoAAiASiASAAKIBKAAogEoAAiASiASAAKIBKAAogEoICWSP/r//f5/+nh+L9x0PLE\n",
              "H/Q/74k7aNNEbND4ONh6aJq8ia2Zpv1BgWkPT9P8LDFNvc40RQeZrTuFRRhYTn3lcurdQTog\n",
              "klUHQSSlRRhYTogkWhmI1COSt5wQSbQyEKlHJG85IZJoZSBSj0jeckIk0cpApB6RvOWESKKV\n",
              "gUg9InnL6cIi3QBeEiUB1ERqG6ybfWG6pugh2fpOImjhqKUkTCNSBYhk2AIiVYFIJ8wiknXJ\n",
              "BURqUxSRrLOI1LRcTRqRrIsiEiKdMYtI1iUXEKlNUUSyziJS03I1aUSyLopIAO8NIgEogEgA\n",
              "CiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAA\n",
              "IgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKDAvkjxr+uffxLa\n",
              "+3Ho+Ynz4q1fv5IsFBlr22BVvayaJlXDU7A8VF6wm5J7P+btVa2tf1v9TVXTWcAZP1euv1Ir\n",
              "RLpNA2/uWKFXp8lLtTaP5TyI1PPGkNfLqWlTdd3+6qH2gg1WTK0Id1qq689vCvvVlBbwTkGT\n",
              "mhUizRW8FRN69bZMXmpydjr1tsHKehk1japuC7gP1RdsuGC853v/3tavlta/pYcbLOC8OVzP\n",
              "YOUSzhRp3OjdnE3cqvHbKuOZnCeSP29OyVW926YVUb1ozXU99aqhRpbm1RfspqDz5Db1l/XO\n",
              "zGqi5PU9kaZ1uo6pLmB/Ttz95M1Yeis1T6S56LIY8td3v5q0eCG3U3slN/VSc59bL1ozvJ4V\n",
              "q4YaEYgkLHnzHz7/c1vIFimvvtsZPV/MFrC36Ny+5M36bT12Vc08kW7eg+D63sgeWkC7JxuW\n",
              "Be2X3NTbrF5BvWjN6FxqVQ1MQVQkhQW7KXlbV0p0ner6IYGchg0WsNtltv1o3YTSSs0+Rlp2\n",
              "esTre0drr1P7JTf1suZ+/20kUVO8njOqBqagSqTCkn2/3sUKt+mubXl9dZF25zZDJGcspZWa\n",
              "uWs3dq+oSJvFHRh82465LbQsd7ekSb10Tau5DExBSiSLkkvh6TxxsOtsmxXVd+bO7ZR+P1ad\n",
              "W08kfxYDoykt4aRI/hpOiLSdmFqRtu8k0SUurRevmbOea6q6TaRFUlmw0eqpZXub+uCtD41V\n",
              "KNKwRBstYE+kzYvr0ZRWqopIgdXdTiRxvXjNjPVcVdVtIymSzoINVO39GQ6K5I8uri8UqWJu\n",
              "3aa3/cimZoFI62OkZTpDq9udDX8J7lYLlIw0WFcvXrO/pZqtr7oqfuv9WdVesKGyS4GperhA\n",
              "5EFB/alD3rwRLVfrxgdvXvs+dJKytubOMdK0ZX/+XYvUOwO9m1qW19eztn+L0DLPbslN3J0G\n",
              "ab14TeuqbjNT4ma3YENl/eDNbyF0i5C4vtcjVycM12GdBezvkgavI+mvVG5aDVLSLy/Am82u\n",
              "BYgU5M161pvNrgWIFKBoR+kKvNv8GoBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBI\n",
              "AAogEoACiASgACIBKPB/JrwFJ1H0WisAAAAASUVORK5CYII="
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 7,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sma <-SMA(Cl(AAPL),n=20)\n",
        "tail(sma,n=5)"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "                SMA\n",
              "2018-12-24 169.0850\n",
              "2018-12-26 168.2125\n",
              "2018-12-27 167.3080\n",
              "2018-12-28 166.0725\n",
              "2018-12-31 164.9820"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 8,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "chartSeries(AAPL, theme=chartTheme('black'))"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Plot with title \"[2018-01-30/2018-12-31]\""
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAt1BMVEUA/wAiIiIlJSUwMDA9\n",
              "PT0/Pz9DQ0NERERHR0dISEhLS0tMTExOTk5PT09RUVFSUlJUVFRVVVVXV1dZWVlaWlpbW1tc\n",
              "XFxeXl5gYGBiYmJjY2NkZGRmZmZqampwcHB1dXV6enp+VCJ+fn6Dg4OHh4eLi4uOjo6PXSGS\n",
              "kpKVlZWZmZmdZCCiaSqpax+qqqq0cR69dhzGexvPfxnXgxjehxblixTsjxLtkBfykg/zkxP5\n",
              "lQv5lg7/mQDyUKGUAAAACXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2dDZubttpubeK6\n",
              "03SaTO1ObJdn993ZbZKd5m3TNk1Pzhz+/+86oC8kIcSXAAH3upIZDRaSkLQsEDLe7QEAg9nN\n",
              "XQAA1gBEAiAAEAmAAEAkAAIAkQAIAEQCIAAQCYAAQCQAAgCRAAgARAIgABAJgABAJAACAJEA\n",
              "CABEAiAAEAmAAEAkAAIwokhnIjrXbiBBermXf49XFODgV0YeePXz+19/ffMT3/oy/+P9zy9V\n",
              "rDcsSsFPeVBFk9RHl/z09tdf//tvV/SX+QsDszdiGAk5sy+jq4MPxYgiMU9qN1DJWfw9XlGA\n",
              "A9mXfuKBX38uNr56z8LvX4lIP6nu9oseTVIfXfIz3+utI/pPLLEh2RsxfnLFMLLXoi9IpBdM\n",
              "khd1GzSR6PkeIk2P6Esvf5UU79v/FeH/8jg/qe72byOapDa6RPZu3r3N6Hkn/59h2esxXrpi\n",
              "mNlr0Rck0jUfaoiudRukOPcp0eMeIk2P6Ej/yd+vf9y//IX13n/lo8GP+x/zceFf+Uuv3pTd\n",
              "Le/iv7yU0ST10SV5/Dcv9/+Tx6tE3+cnXa8GZW/EMBJyZm8VcCEiHfPLn/2N6FizQYlzx0MQ\n",
              "aWpER3orujX7kw0S+6Ln/cw3vZXdzf7NqI+uYrx5/1LtZUbfs+49JHsjhpGQM3urgAsRKR98\n",
              "TvuTNrtgbSjFgUjzIDrSmzdaF83fsn/Mw6/yN3K26Y3qbu9VT35fJlEf3SQX5JdK9H+xjUOy\n",
              "N2IYCTmztwq4EJHyM7bD/lCMQu4N+oiU7iHS9Jgd6V+s85pv/G9/Krf8R51b/buaRDW6TnFC\n",
              "pQ8M4vd/9KR6Ze/KkSfkzN6KvgyR7vnV0IXo3r0B10hzY3ak/CLkJ7snG6G34rL9jSMJf+8s\n",
              "evJP1ehi+BmQvSvH/4q8HNm3KGp/xhJJCJPrc3Fv0Gft7vYQaXqMjvSWTxH7zOBd+a0rCX/v\n",
              "VAKY0fWo/bJ35Pi2GsX0b2EiqVM4dkLn2qB5dC/+HqcooAarIztOvoyQPjMtgp7oMkZBfkr2\n",
              "lp2SGdF/1Hp3z+wrh6EnVM2+LukgjCTSg+bJg3OD/ON6Zl5BpMkpO9Kr4u7/K31btbv9rC5S\n",
              "fu4q0l4uYjCi/1t17t7ZW3HNhKrZ1yQdhpFEumne3JwbbHEg0tSojvTyvTofelPc2jFGCxnL\n",
              "mDaT/bQ+uozx85v35XYj+hsxXT0ge/Mw9ISc2deGQjCOSM/1K6Bi4UJlA0SaHdWR3pbLaqw7\n",
              "PfvqIGF0v/rokrf8Qv8VE8CI/n549taWt9UFREb2VvQliHQulwI9sDtHlQ0QaXZkR/rFXIqm\n",
              "rz3QYuXXKG/5uZV2MV8fXfIfFuPVW7msTkV/JRMakL2Zo+M1M3urgEsQicSMwp7NMpBjg0sk\n",
              "xShlAhaiI/34q2JfWexWdrdWa+0cvfO93O2lGT0fdf4zOHs9hpmQM3uzgAsQ6QW/NcS55INR\n",
              "ZQNEmh/RkX4xOqC9/LrsbmIdtX/1d7V3ihj8To4W/RexaVD2egwzIWf2ZgEXINJV3Ybd8zux\n",
              "lQ0QaX5ER3pvdkD7A0Fld/vXL46P+9RHd8Yo//ivGCSGZa/FsBJqLuACRAJLIGxHWh4QCQQB\n",
              "IkEkEIDqadCGCH7wEGmzQCSIBAIAkSASAJEBkQAIAEQCIAAQCYAAQCQAAgCRAAgARAIgABAJ\n",
              "gABAJAACMIpIBMBCCNXnxxEpAWARQCQAAgCRAAgARAIgABAJgABAJAACAJEACABEAiAAEAmA\n",
              "AEAkAAIAkQAIAEQCIAAQCYAAQCQAAgCRAAgARAIgABAJgACsQ6Qs87/+0fzzz0zuxihDZTr2\n",
              "ht9E4NNT9vTpdX3QSga0ZuFvmpsQ6Yv58gcR/UNVpKcyRWPD6ye+yz9s45fa4AeI1BeIxIlZ\n",
              "JPPlD09KpM9mvI/ZbzUbPvNdfsuePhT7/1YXrCQJ2gKROIsR6c/sH/H3n9lfRrTXT5YFasMf\n",
              "YpD5lH1kf/1VF7STBK2BSJxYRPqYDx5Pn3gwN+afj+I0rYz7KVEi/Wmk8jl7nTg3vJPufc7e\n",
              "JWLYcQftJEFrIBInEpH+4tcohUl/8uCflkgfVPTP2ce/pXTFC9mnxEBt+Cd7x3cROxa/3EEr\n",
              "SdAeiMSJRKQs+4OdieXBp+xDEfxSPfNTIjH+EVtrB6S/8jRbi2QkCdpDy3ZpbSJpf2fZR9/L\n",
              "QrrXn8TZ2IfsbzOW3MDO2VqKZCYJ2kNEEKkgGpHeffyLX9F8yrLPHz7YL1f+fs2nsMWUgYbc\n",
              "8OXpdWuRzCRBe2gHkRixiPRPeSPnr6fiRtC7BpHkX0/2zJ/Y8DfziUd6KpVxB50ZgBZAJEEk\n",
              "Iv2dffnz4zv598dPXzzXSMZflTtAcoNa45DJ+bl35VSdHXRmAFoAkQSRiMRC76zBoUakJzaZ\n",
              "IASoTFzLDbpIf7HR6WMxm+cOGkmCDkAkQTQi/ZZ84NdIX/gEHhuR3rmifyq6/mtxKfQ5+2Cm\n",
              "aW5oubLBSBJ0ACIJZhZJjhmfROg3vhyBh75oi+h4dPbr9ZO651TEeW2++sWYDVcb1ey2M2gk\n",
              "CToAkQSRiJRfJGX//PaRnVuxlQ3FYrnfvjhFyoeOp/ySytzmmITT/nrN1nk3BL9g8rs7uUjF\n",
              "DPhiWYdIYPEUImULbm+IBKIAIgkgEhgCRBJAJDAA9jWsEGkPkcAgiik7iFQAkYCgT6tBJAlE\n",
              "AoJ+IiUQiQGRgKBzq+WDEUSSQCRQ0OfzeRBJAyKBAkq6L1CASBoQCfDhqLsPEEkDIgGIFACI\n",
              "BPh5XcWHxlbURFpsi0MkEAiqG5EgUhcg0tbpLRKJD1AQLfiTFBAJBKK/SJnwZ8mLGyASCASJ\n",
              "Z9NBpEFApK1D4uPiEGkQEGnraCKR9ULDjmSJtMRmh0ggEL1FUsuKINIeIgElkj311rj8zhJp\n",
              "kVN3EAkEQoqU2HeDOou0W2C7QyQQCLVctYNIpP1kIYgEkbYOlV4Y7eb7wpZakRbX8hAJBKIU\n",
              "ybzI8Xlhb4dIEGnzaCJlEKk3EGnrqMaqilQ7D2d/DBAiQaTN4xOpbsECWTMLEAkibR5TJG0C\n",
              "oYdIy7uVBJFAIIKKtLg1dxAJBEINIrpIxdhS7wV/Vd8AkSDS1inPxnSRMq9I9kkc2xMiBWdp\n",
              "tblp+olk3byFSBBp60CkIECkreMSibqKRM0ixdkpIBIIRAiR2PIIiBScOOsMOHGIRFKkmttC\n",
              "1e0QCSJtHY9INZ3fsZ3EQ7kgUlDirDPggOpFqv0YRY1IDQ9BibNTQCQQhHqR6j/Y59jqF4mc\n",
              "8kUBRAJBMBYFEUTqDUTaNOZ8glRHF8lpjWOTJhLZsSBST+KsM1ClmGnT/mohUp1bfpE8H1uf\n",
              "F4gEQjCuSKS9GuknLCASCIFPJLXN3KOvSJXLpyh6CUQCIbA+DVEViSyhaibFqyLpX/biFCmO\n",
              "IQoigRB0F8l9m1bsKUQiHrFMxClSFI/Bg0ggBLZI4hteDJGMuYOWIhFECkEMNQTaUBEpg0iS\n",
              "hxul54MdPKcqCJGAZFqRjB1jF+nMLvLSgxm8suANIgGDLqd2/LZqF5GI5EvLE+mOHnNxHujR\n",
              "CD6n9G5/l9JziAR0Kr1ZdnuqF8k13WaJJJ6OQnqKCxPpwl8hMoJnus9DL+gEkYCOQyQy1n27\n",
              "RHIsqLNFyhYvkuzKZAQvdNwXQ9SlEhEibRqXSFmdSFT/kC6vSOqjSssT6UBXI0jl4GQBkTaM\n",
              "/ZxHvtEj0q6fSLuqSM6sZ6BBpAd2KlcGIRJw0EEkNRzVfgB9jSId04sZhEjAAbnW6dSIlCmR\n",
              "ahbJaSIl9SKVCyUWINIhvVrBqUV6BpYAsX/2xkIZtV0GtRHJsY+2L0uWiyT2fCZF0vNjW4Me\n",
              "TD9Ix+7H15sdTDEigQruBagN10jeTxZVRqRyNr18CkQ5TgU/ou54RqTj7Xq0g3zW7ohZO6Dh\n",
              "Pk3jIqm/ys8lETX2fbEwwhJJTn+rb09PliDSfTlhVwZPbPLhns6V6BBpu0wikrZWYlEiHUuP\n",
              "tCBWNoAksa1xd+WAIpVrijSRaBkiPZYXTlpwf2OBazU+RNoQtkjOeewakZKuIlGTSHF/sE+b\n",
              "gdAnIw5s9bcjPkTaEGT94b4fFEYk8wzOFsk/ZzEh+DwS6I4tkjtSVSSSnT+cSLF8cTNEAt2B\n",
              "SBUgEuhOO5HIFEmdhUEkHxBpO1ArkdR8gNinXOvTTySCSL2JooqACZki1U+aGbMQw0TSRzOI\n",
              "1J0oqgiY2CLVSmFO5w06tXN9UQxEak8UVQQMzEufDiJ1WYzgF0ne100gUkuiqCJgwBacmn/X\n",
              "xQwgEpUi8RcgUh+iqCJgwEXiLSMvX2pi1t65bS2SygQiDSKKKgIGlkiefuxY8hBeJKxsaEMU\n",
              "VQQM+GeJ5EK3niI1LY9rLVLtAqWpgUigG+rz3onozT1Eauz79qOCLJESQ6QogEigG+aDExpE\n",
              "arHJvSs1iGTPHc4ORALdqIjUaecOEf0i7SBSB6KqKsCwHuUzkUgEkYYQVVUBxjQi2XHVxRVO\n",
              "7foQVVUBxrwiJfZkQyxAJNANTaTuN3EgUiMQaSOwtQRCpM7LCgKLFFH/gEigG1wkzqjrc+pE\n",
              "IojUmYgqCgi0x2ON+yCsGpHUegeI1J6IKgoIdJFGvUyBSOGIqKKAwHxg44j5mB/WsIMQqQsR\n",
              "VRQQ6CKNm1HtH3wDRGpPRBUFBEqksaefIVI4IqooIJAijd6LIVI4IqoowNBO6SCSDkQCXZjg\n",
              "2qjMqu4PUZBSpAj6CUQCHaAJF4s2i1SuCZ+mRD4gEujAlM8aaSHSVGeZLYBIoANTfqkXRApH\n",
              "BBUEdGYTyfEqRGpPBBUEdCBSHRAJdCAekRKI1IEIKgjoQKQ6IBLoQBzfIC6ASK2JoIKADkSq\n",
              "AyKBDkT16B6I1JoIKggYxNQiEKk1EVQQiBaI1JoIKghEC9batSaCCgKMGFsCq79bE0EFAQap\n",
              "H/EAkVoTQQUBBun9NhIgUmsiqCDAgEgNQCTQBuNzdJHgFGmuIkIk0AYqvusrpmUNiUukGWWH\n",
              "SMBP+TzGBYi0U1/tN3lhQvV5iLRSpEhJzCLJ+0kQyU1cDbc5+Jy3nPmGSN7ChOrzEGllyGep\n",
              "ih+UxDzZAJH8xNVwm4LKb2vlMw0xTn+rEETyE1nLbYniW1s0kQgiNRQmVJ+HSGuCNJHKf5E1\n",
              "B0RqTWQttx2WKxLuI7mIrOW2Ai1ZpLkKE6rPQ6T14BYpOiBSa2Jsvg0gv7YcInUoTKg+D5HW\n",
              "A1lz3hCpRWFC9XmItB4skWK7ESuBSK2JswHXDl9DvSiR5G+I5CbOBlw7fBJZXihFel6XQKQO\n",
              "RNqCK0eKlMjvuYy0GSBSayJtwZWjuiNEag9EAjZad1yeSPMUBSKBKhWRIgUitSbiVlwxEKkH\n",
              "EAnY6CJFOvPNqBNpliJDJGCjX7IvowVM7yFShWU049pYrkgzPlkZIgGbhYs0z+koRAI2+iX7\n",
              "wlqAiTTLh2QhErCBSH1yDtXnIdJqgEh9cg7V5yHSaliqSASR6lhSM66HpYuEyYYKS2rG9RD1\n",
              "coYa1Hr1BNPfDpbXoGtgkSJlEMnD8hp0DSxYJB6epQCh+jxEWg0LFUldG0GkCstr0DWwVJF2\n",
              "EKmO5TXoGoBIfQoQqs9DpNUAkfoUIFSfh0irASL1KUCoPg+RVgNE6lOAUH0eIq0GiNSnAKH6\n",
              "PERaDRCpTwFC9XmItBogUp8ChOrzEGk1LF2keQoQqs9DpNWwVJFmfeIRRAImtFSR5v3Ih0ek\n",
              "hxul5wMLnlNXECKtkOKNfYkizf0AvnqRzuw7PdLCmSsL3vZmECKtkeIRQgsUafZPINaKdEeP\n",
              "uUMP9LjfP6f0bn+X0nMjCJFWCUTqmX9dH77wV4iKsek+D72gkxGESKsEIvXMv6krU+HUcV8M\n",
              "URcjCJFWCUTqmb+/Jx/oymXa819a0AIirQP2dX0LrPe5i9wg0kNxKgeRNkQxHC2x2ucus1+k\n",
              "Y3rZQ6RNscjzuiRykQ7pVdNmDpGegYnJRZq7CL2Yu9SkY/fjK79flJb2pBiRVs46RqTpj8Ez\n",
              "Ih1v1yML8Km6Yzlrd8Ss3WqBSD3zr+3E93QVoRO7eXRPZyMIkVYJROqZf10fPiqPsLJhS0Ck\n",
              "nvnX9eFH7cLpxgJMLC0IkdbIIm8iJRGLpM9AHNiSb7ZZC0KkVbLQOjeKPcO7AT6PBEwWWuem\n",
              "SNN/RRJEAiYLrXOI5GOhjbpoFlrnEMnHQht10Sy0ziGSj4U26qJZQ51DJIs1NOrSWEOdQySL\n",
              "NTTq0lhDnUMkizU06tJYQ51DJIs1NOrSWEOdz/CUO4gE1gdEsoBIoA8QyQIigT5AJAuIBPoA\n",
              "kSwgEugDRLKASKAPEMkCIk3EyioaIlmsrH3jZWUVDZEsVta+8bKyioZIFitr33hZWUVDJIuV\n",
              "tW+80LpcgkgWa2rcqKHFPj3IiS7SRIcFkTZPoRDNsWB6PCCSxYraNl74NyJBpIFZhurzEGmp\n",
              "FCJlaxSJHxBE2kMkndHqYo0jEkEkgxW17SD4M2/HSny3umskPgsJkRRratsBED/7Giv1lYok\n",
              "3nog0h4iCUY99aI1ipQUx5VBJMnK2rYX4ixltFM74l/kslaRpro/BpFih8RJymhndisXaaLv\n",
              "e4JIsTO+SASRAmQXqs9DpJGQE1BkbAqXvLwmh0jDsgvV5yHSSAQWyd63mBBkvyHSsOxC9XmI\n",
              "NBK2SAPP8uyVMxApUHah+jxEGglLpKH3Zm0fcWoXKLtQfR4ijYR1M2TovdnKwCYF1ZanrQGC\n",
              "SBrradf+aCJRgEUOpkiki0SrEmkn3hog0h4iJeYNxcEiSXXkN9brIx1EGpZfqD4PkcZBE4n1\n",
              "dPGhh36XSVR+io+sZFYnEkGkkvW0a3/MyyOx7K7XoESJtEf8JK2XrU2kRB4kRNpDJBN1PtZZ\n",
              "JHmJxRUSY5r5dr06kRJxqBBpD5EsxNRAT5HUaOYWiSDSoNxC9XmIND6aSN2ukbhIO+LTDE6R\n",
              "2HgFkfrnFqrPQ6TxkSJ16/HyDq5Y5Z3oItEmRJriqCDSglCrETqtEjJvTZKas6gs4FunSBMd\n",
              "FUSag7bHZZ3BmSvuWmdmjEiJ/Gi5S6SpPgU3CVykoWsTW+cWqs9DpPa0fpe0TvDNP9rbqK6R\n",
              "VKI1Iq1wRIJIBWtqV43W5+2hRDISUyI5UlxThSuRJhlmIdIMNIhk3IJ1v5B0FqmcohMnelWR\n",
              "VrVoFSLprKldNRqugWtFMmN1FkkNTa6sRJyWaS4BiFSypnbVEAtP60abwCJVZvpqd1ylSF1q\n",
              "akhuofo8RGpPKJG6VE/tMOSOswIgUsm6WlZhreC2r1bGFmlQnOUAkUrW1bIK6/sfjFMvY1ra\n",
              "L1Knuz4rrUoPEKlkpa1vff+DJZI2D+FdKNZtGdlKq9IDRCpZaevrT9tWAqmPrWqT4y1F8lWT\n",
              "jLKmNQvtUGfPEGnlIrHnp6p1B+XaMG1TOJHW9pCgZtR8DkRat0h8JTe/pZSojwol8qXmJ+c3\n",
              "iCTPFPkfEGnk3EL1eYjUHkukosH55IMUSXzIoeHKxnWH1X7VXM6wKSBSydoaX7tgKa+CuEhk\n",
              "iSQGqjbJ1YhkPtZtbVXZDEQqWVvra3eMLJHUNZI+9dAquaSdSNsDIpWsrRNU27VWpDZrxKSS\n",
              "5qPvRAAiQSTF2jqB3a7l577V4xS6iKQSsUWiyZ/YGyEQqWRtncAtEr88ktPdgUTaQSSIpFhb\n",
              "J7DaVY1B8t6s/kGl1kvpIJKbclITIq2tE9giZYZIiSFS24k2fc0dQSQNVSsQaW2dQJu1YyE1\n",
              "IsnbptRVJHKJxNPN7CfXbQ2IpFhbJyDrjE11dNIjaLFbpihdEjdx+UgHkeRviLS2TmDfHqos\n",
              "Aup8wFKkDCJVgEiKtXUCUl/ZKv+uROicIkRqAiJtT6TOCYrPCUAkHxBpbZ0gvEi7ikhq1V6m\n",
              "VuxtHYi0sk7AZ9NGGJGSUiT5ZRNCpA0uVq0CkdbWC+zJheHHJ/0xRSqnv0ECkdYoUuhGLf1R\n",
              "8w47Ujdk11Z/YQl62guRpmQkkVTKEKkLQSdiINLEjCRSom7MQqS2YERaJqT9DJyoCPLLI4jU\n",
              "lpDVA5EmYyqRqBQJeIFIS0Qthwubqh6UX25pLWUFNUCkJWItTw2Vqh7URGr/caYNA5FCM8mN\n",
              "hlEW67iWkkOklkCk0CxXJC19IlMk0ARECs0qRMraPcMYKCBSaNYikvfRq8AGIoVmJSJBoNYE\n",
              "n/iBSEngW9y1mUCkeJCr5gOmGKrPL1ckmuarGqYQCbTE/G6qICmG6vMQqSmb8WftRk1/VUCk\n",
              "EViJSDiv6wBEGgGItD0gUniICCJtjYlFehCvHs4ppecDC2tBg+WKtINIq8eum2lFuiP+6jFl\n",
              "a4nTYx6+suANIvXJZ+QMxk1+0ZD116Qi3aVCpEc65z/P9LjfP6f0rnjhOUTqkc/IGYyb/KJx\n",
              "i1R5YUgOtZ34ga5CJO3Xme7z0As6QaQe+YycwbjJLxqjbrSr4nD3DOpFyochYVAqREr3+wsV\n",
              "53d3dIFIPfIZOYNxk180pkhli4dr+XqR7tRQdBKndidjcFqcSDVnxOpbXEcGDw+ekTlF0nx5\n",
              "KGYb0of9OkUi0hdOjwZEmhGj7eX39iaTi3RiU3Wn/SpF4pee4w9KEGlGHCJl04v0UJzaHR7p\n",
              "YXqRngWE2D97IxH7kdeo49Wg2e/GTR94MNpeilQEs1CNQjo1It2ouAF7KO4epUsfkSp35sTz\n",
              "QjAirRrjoeuzjUjaLz5rd1zkrB1E2i7Gekr++L8ZROLD0KGY/j6x+0j3bBrPJHKRCCJtGVuk\n",
              "ZBaRzlQsrjsX9ix2ZQO3CCJtlDhEEgvsrkXwVgZN4hZJXgXWiJQIkfrn17wnRJqRSETiS75Z\n",
              "6FAGTSIXSd46GE+kpn0h0ozMLFIXli/SoMdlQ6SocYg05Q3ZLsQvkvO7iZVINOwDfhApaqoi\n",
              "iQdyQaSOh7kTX/htL583nvLbv1pbDGZ4OMl8mG+SEGnAYbYTqXdfN7+svCZOz7TBYMQaMPkX\n",
              "ROp/mNqcAg+o37pZ/c/sdhhwIgYiBTpKWyRSIiXG77FEgmPzApECHWULkeQf/bJsOLXrnS4I\n",
              "QlWkBCL1O8x2IvWeEoBIUQORAh1lnUjV9HvWLESKGogU6ChrRHIMP2OJhKmIOalOf0Oknodp\n",
              "iCRvzDrukfZcvNpwtxUizYz5eSRncGgOofr8okTaTSvSoMVHIABknF6T8UKgHEL1+chFIluk\n",
              "JAkqkv/MDneZZoa0nxBp0HGKX3xtamCRmnaASHMDkQLDv/pbnehBpI1QK1K4HEL1+eWJRGFE\n",
              "ouYrVog0NxApzEGWoVFEavqABF+TAuYDIgU5Rm260xTJfR+pt0h1O0KkuYFIQY5xZ4tE4o6c\n",
              "Y2VD56nqNiI5PpoLpgciDTxGTSQ2ZZfIZQ2O9Mm6fdp01qYPbLVxsUQoCiBSryMrQzvdC10k\n",
              "925dRWpuIIgUA+pcAyJ1OrIy5BSppjr5S+1FojZxIVIMFOf11YYINKEKkVy7dRyRGuNCpBio\n",
              "fY5UiLZZtUjy0qUikozg3m0UkcDsQKR+R6ZcqhGpdje/SMYGgkjLwf3sQojUdGTq3zgiyVkJ\n",
              "iLQU2DVSpfkhUtORTS5S/WUrRIoBiNTvyEqRaIhIlXNqPX3j1Um+HB30BiL1OzL9Mknb2ubR\n",
              "wRBpjdSLFKDdIJJz32aRxAQQRFoOtSKFaLeVisRP54aL5HjYAsntEGlhQKQeh7Uj0rq79kKr\n",
              "O9naA40rs6XaglfnSyBWIFKPw5Ii2Z+KqHZ/5+5y8UP1/NkjEibn4qaNSP17XKg+H59IxEWq\n",
              "nS3w7V4vkphkaDu2gXiASD0OyyNSm90h0gph5+kQqdthFad2/PmaQUUiXSScyi0Mcs01QSTv\n",
              "YY0nUgKRlkuDSAM+yLxmkQKe2ml3YROItFxcIskvOKdB32u/XpESOWvXZ/cakdRfsGiZuC5s\n",
              "pUgZRHIc1kgi7UqRwAJxvQFCJN9hyWep9p5Y6ykSDIsaiNT1sJqekNWcgkjGIZLv4VoQKWqa\n",
              "RBrwxhuqz0cqUm8g0hpxNY8hUu9+A5HqUhDJdBMJ92jjBiJ1Pay5RMIC8KjxizTkC+EgUl0K\n",
              "IhmItCacraOJhMkG+7CGiqS+G9P42JEUqfaNCyItEDFfB5FchzX0WkVULkTaABDJd1y99xT7\n",
              "e0Xy7gYWhrg6gkjO4+q9p9gfIm0G8V0/EMl5XL33FPuHEwlqRY4uUv9EQvV5iCR3szfh1lLk\n",
              "mCL1bK+1ijQUsaheE0nM4iWdRRo8Ew/GRYkk/+qVSKg+P4NIo3ZQpo4pEkGkVaJ/H+oGRRr5\n",
              "swwQaTMUDpVflw2RQsPrtxRJ1DdEWh2UWCL1aDGIVJ9BRsYDWwur5OeRPPtUNkGk+IFII6I+\n",
              "6VURyb+PvQkixc+mRRp7XlkTiZ3gQaT1sm2RantomJ5bGZEIIq2Vikid22yhIrFBoq6HBhqq\n",
              "bJHUrF3DPvYmiBQ/LpG6NduSRapdgh2m68oaVRN3fURqsQ+Yn62KxC2qfTWwSBlEWjubFcla\n",
              "A1etlQD0FMkcKCHSItAaaWsiJfV3dIKKJEcZ91cZOPYxByWItAggUkOtDEGJJB/b0FMkrP6O\n",
              "ny2LxAMNtTIEZQSJn61F0iJ1bhAwB1sXyf1uD5FAR6oidb3fv3CRnCt1IRLoiEukbqvAIVJ9\n",
              "1fQRSftuM/kDIsXPZkXyfghrRpH4bHkGkRaGLpJkCyLpN8+8tTKEXiIl4r1MCDTowTRgMvSG\n",
              "JXE3ECLNK1JiiISbSIvAbCd2mQuRgolkTtvIZXct9oNIS8NajgKRkvHWEtTfALYjQqTlYb5n\n",
              "bkek8ogdVTKiSK0iQqTlAZEqm1p8/K4XfUQaqSggOBCpsqnFB8LHhdSdCIi0GGyR6q6/6xMI\n",
              "1echkipB+bmLuYsC2mKKRFsUyZ5am10k7QNM2dxFAS2hyl9bFMm4mRaFSOLR4RBpKUAk+eFV\n",
              "WQORiLSDSIsCIsUrUgKRlgNEMj87wkWa+aEtgcIAAB0/SURBVDOpEGnpbFekTBdp7mWi5dP2\n",
              "IdIygUhxTDjLRXkQaaFApFhEEivzINJygUjzd10lUhSlAb2ASPN3XVWC2ec9QG86fivF+kSK\n",
              "oOuWIs097wF6s3WRYui6EGkFhBTpQb5690j0eGTBc0rp+VCNC5FKqBIAiyOgSHckXr1nZ0xp\n",
              "oc+VBW8RixQBEGkFhBPpLpUipend/nCh837/nPJg/sJziOQBIq2AYCI90FWI9KJQaH+gND+x\n",
              "o3u24RSfSGLCeUDVhSeu0oAuBBMpt0eI9Eh3cuOFiiulO7pUokMkB3GVBnSh4yMJ60XK5REi\n",
              "3Wh/SumxuEQSW6i6G0RyEFdpQCeoU/t5Z+2UNhc22bCPTySKWySwYLp9tVU7kYrJhsfiwigy\n",
              "kdSjEeQ3TkIkEIpuDxJqJ1JxjXQsJr2nFulZA1T84yJlRWRq3AOAduQdK2vfnUinViT1K41s\n",
              "RErKESnDiARCEn5EupT28Fm7YyyzduJ4IRIIT3iRTuzm0ZGuMnjPbizFJBJBJBCY8CLlV0eH\n",
              "YrLhRXQrG8TxkjpoiARC4RDJ07vaiJSPQwXXIngrgyZziUTlM+QSiATCMYJI+/srpfxs7sBW\n",
              "fzviziZSpp6PkEAkEJJgInUBIoG1AZEACIAlkvfT12sTaWDVAVBSEckziweRAKjB+iQFRAKg\n",
              "D5sVKYoHNoDVUBFpK9dIEAmExBZpM7N2EAmExBTJ/8jElYkEQDhkn1I9bCMixfCQVbAilEi7\n",
              "jYnU7bHnAPgh8QRsiATAEMS6VfWNwKsWiSASGIkticQ/j4RrJDACpkje7rUmkTBrB8JSitT4\n",
              "uEiIBEAdmkhN3/G9fJESiARGYlMjEkQCY2FcI0EkAPqxSZHi+LI+sC62J1LHLw8AoA0bFCmB\n",
              "SCA4mxIpgUhgJCASAAHQRfJHDNXnIRJYIRAJgABsSyR1ML3rCwAnEAmAAEAkAAIAkQAIAEQC\n",
              "IAAQCYAAQCQAAgCRAAgARAIgABAJgABAJAACAJEACABEAiAA7PGqEAmAYUAkAAIAkQAIAEQC\n",
              "IAAQCYAA8GcVQyQAhsG+0AUiATCMTYoEQGggEgABkCI1xgvV5yESWCMQCYAAQCQAggCRAAgA\n",
              "RAIgABAJgABAJAACAJEACABEAiAAxL7ouzFWqD4PkcAqYcu/W0QL1echElglxeNPIBIAA4FI\n",
              "AAQAIgEQAIgEQAAgEgABgEgABADT3wCEoF0nhEgABAAiARAAiARAACASAAGASAAEACIBEACI\n",
              "BEAAIBIAAYBIAAQAIgEQAIgEQAAgEgABgEgABAAiARAAiARAACASAAGASAAEIHKRAFgIofo8\n",
              "RiSwZSASAAGASAAEACIBEACIBEAAIBIAAYBIAAQAIoGpafFFkssDIoGpWZJI1LawEAlMzaJE\n",
              "yiASiBSI5AMigZZAJB8QCbQEIvmASKAlEMkHRAItgUg+IBJoCUTyAZFASyCSD4gEWgKRfMwn\n",
              "0rd0U+EbfacfXOcW++7iqCIy/zdw+a4xysYJL9J4am5JpCSlb0Xoa0qNg+tav1/TV44q6ibS\n",
              "V/R1x1y3BkTyMaNIJ/pBhH5QIX5wXev3+kPNCy0l4oW4dsx1a0AkHzOK9JUah1JzNOhavy9d\n",
              "A5JKqW1qX9HLbtluDYjkY87Jhqu4MvqW2GDw/Y1u37ODU91fhE6UnopxSwxcecT0ey2d21XE\n",
              "NeJVT+20DL6+sKj51dWV6MqLcb3JLIELiORjTpG+o1fs9ysm1JU9ZqxwwhbpVLzwHXu9MOSi\n",
              "InK+JWGHGa8ikp5BWgRzk77nDzdjCXzPrtkgUh0Qyces098pj8jq8yWl3yTfpMX5lS3S9aui\n",
              "w7OfaaFfHvrqWs7z/UDf8LhmPFskIwMW6VaU4JviFTYWfUN1l1qgACL5mFWkH9hlyUsxzhRm\n",
              "fFeMGLZIfKD4Wvx9YVdEX5Ga8b7ySyQ7nv3fyOBbFamc9f6KMN3gAyL5mFWkb1jXvbIRhcrR\n",
              "qXKNlJh/C1RdaOOatZ9jCtxMMr+eunzzjZkQcAORfMy7suGWDyZfkX6RP7FIyam4Wkq/1hMC\n",
              "biCSj3lF+j6/4D+RmqpL2olk18UQkfKTvR9uYo0FRPICkXzMIpIaTorR6MYvceQlzEXr69+6\n",
              "RLqQtZhHXSOZP+uukS6WSCqEayQ/EMnHPCKpw3xFcg7cmrW75ePUV1eXSCxiPpapyYYf+FKj\n",
              "JpGsDGQ2L9Ws3beYtfMCkXzMLNJ3pObNzPtI7AbPxSWSiJiqxRDf0smK4T6tMzOQdjGYiSfc\n",
              "R/ICkXzMLFKSlutVv0+1lQ3FLMAr5zUSW6FAr7RFRWplQ+IVycqA/2QrG/jiWaxs8AORfMwt\n",
              "Ugi+C7Jw+2v72guYQCQfaxCpfvV3F7D6uwGI5GMVIjk/j9QRfB6pCYjkYxUiJd+9GpzEK5zY\n",
              "NQCRfKxDJDABEMlHa5EO55TS84GFtaATiLRGIJKPtiIdU3735piH+Q2ZW31kiLRGIJKPtiI9\n",
              "0jn/eabH/f45pXf7u5Se10aGSGsEIvloKxKR+nWm+zz0gk71kUMdJogIiOSjrUipECnd7y9U\n",
              "nN/d0aU2MkRaIxDJR1uRTuLU7mQMTjW0Fen131n29wcWzDhapE9P2dOn11ZQ2yOp7OfcA4QC\n",
              "IvloPWv3wD4B97CvE4l0niXJM8//4jCL3/+PSfAhD39QQsg4/4f9/aUI/8OC/7fY/sSC/6vS\n",
              "0vcT0YrtYmdfGfC/6/+8WQOnWYg0Ulmzpj4o/k8vEntED7suCjYifcr+Ln58zoMf2E+N37Kn\n",
              "D8mHp+w3I6jtwdH2c+8BgoERyUdbkR6KU7vDIz0EFOkpK06+2HnZn9lfZpRP2cf85x/FZi2o\n",
              "7cHR9nPvAYIBkXy0FelGxQ3YQ3H3KA12jcTInpJCiD/NKJ+zd4kYcLSgtgdH28+3BwgARPLR\n",
              "Y/qbz9odA83afWIqfM4+/p09fSqjiFGn+KUFtT042n6ePUAIIJKPbtPfh2L6+8TuI92zaTw3\n",
              "7UX6I8uYBZ/5nME/KkqtFnIPjrYfRBoZiOSjrUhnKhbXnQt7Qq5s+PPzE7uSybI/kuS1NtbU\n",
              "aiH3kNHUfhBpZCCSj9azduKJB0XwVgbddLpG+ru053X2RQZ9WvxtX1Cx/SDSyEAkH+0/RsGW\n",
              "fLPQoQy66STSa23uoOz6T6ULT7YW+h6JK1plDxAAiOQjgs8jaf29DPKJt3flHNw7bQ6uYkix\n",
              "wbsHGA5E8jGnSPyu0LvivEwGVdf/i90K+lhMLGhBbQ+Otp97DxAMiORjTpHYOoXXn4srnk9F\n",
              "p3/Nb6QyPCsb+B4cbT+sbBgZiORj1lO7JzV3/ZoHtRtCX8r5cC1Y7sGj6fu59wChgEg+5r1G\n",
              "+vSUfeGjy+syyEV6zRZwJ1YwcUXTknDsAQIBkXxEMNlQoeVkG+bkpgUi+YhQpD/+blUFLaOB\n",
              "UEAkHxGK1HLSGnPbEwORfMwlEo1XiWAcIJKP2UTCYxuWBkTyAZFASyCSD4gEWgKRfEAk0BKI\n",
              "5CMCkTDvsAwgko8YRMLgtAggkg+IBFoCkXxAJNASiOQDIoGWQCQfM4okqxEiLQOI5AMirYMJ\n",
              "pj6nF6n/QUEk0A/arVGk3j0DIoF+QKR+e0KkCVjSnWKI1G9PiDQBE3TOYCxUJP97FURqPkyI\n",
              "FJaliuRte4jUfJhxieR+Y4RIZhYQyQNEqi8CRDKzWIpI1JSuHjdUn4dI9UWASGYWixGpw6d0\n",
              "IFJQIFKbLCCSB4hUXwSIZGYBkTxApPoiQCQzC4jkob1Id49Ej0cWZN+PdKiPCpEmByIZu0Us\n",
              "0j27e5YW+vAv77vVx4VIk5OXdeyFGBDJR2uR0vRuf7gE+w5ZiBSWQqSRixuhSDX3/2IW6QX7\n",
              "EnP2reZn9q3mL+hUGxkiebIa52A3KpLzkKMW6ZHuZPBCxZXSHV1qI0MkT1YQSUtxeyLdaH9K\n",
              "6bG4RCKeOdWXobNIcy+zhkhtsphGJK0zrFEkogubbNjXiUQ6z5Lkmee/FIn/zUXyxR/9f14E\n",
              "x3bWTKHzohHS5GXN/41aT+Sqo4F1UVR8fVsUOvjbbedst8yVbk29TS9SMdnwWFwYYUQalBVG\n",
              "JC1F14iUrXxEKq6RjsWkN0QalBVE0lLcokjqVwqRhmQFkbQUtyfSpbSHz9odQ87aQaTByS5O\n",
              "JH41PaZIbbrV5CKd2M2jI11l8J7dWHIDkTxZQSSR3G50kVpUyOQi5VdHh2Ky4cUoKxsg0uBk\n",
              "IZKeQrwi5eNQwbUI3sqgG4jkyQoiieQ2KtL+/kopP5s7sNXfnqgQyZMVRBLJbVWkDqxJpNBl\n",
              "g0gyOYjUyKpECtw9IZJMDiI1ApE8WUEkkRxEagQiebKCSCI5iNRIB5F4ZUKkwclCJD2FDYqU\n",
              "QaQgyUIkPQWINA+u9iSCSGYWEMkDRBIFqmzaQSQri1bJt27LSURqLA1ECgpEapNFO5Far7ue\n",
              "RKSmOoFIQYFIbbKASB4gkihQZRNEsrOASB5mFUnMfUOkAMlCJD2FrYmUWSLNZRREapPF6CKx\n",
              "5odIJf1FmunZphCpTRbji5RBJAOI5MkKIomIEKkRiOTJCiKJiBCpEYjkyWoRIrkuViGSj2WI\n",
              "NPYkxJZFchbI1YWXIZLqVhDJvUNDksOASPbG5YqUQSSINCBZiKT2gUgQqX+yEEntsxGRtOUM\n",
              "EClcsssQSbvYDSSSffm8IZF2ECk8SxFp1yCSsamVSBlEgkgBk12LSDveM1qklWxXJFZBEGkM\n",
              "liOS1ta1Iu1cIjnugWxWpB1Egki9RXLMLEAkiBSWdYvE9oFI+nFDJIikBSGSF4jkyQoiacGg\n",
              "IvFLcIjkriuzRkcCItkbFylSBpEg0tBkB4jkmg6LXiRtBtjIGiKpCK4dIVJTskNEci60cURs\n",
              "ldxUIu0WLNJzkS37orFDfbzFi0Ssd6nihuz8ECmYSLyRmkTyt94sIh1Snu2VnQ3c6iMuX6Sd\n",
              "IVLI3FctUkWNSoQOImmvSpE0KWTEZpH8BRqmT0kXkS7Esu3/Zczji6TXdIcuC5HsjVn1nbyN\n",
              "SNlYIpnDD/9rqSK9IC7Sme7ZX6famDOKJDtA01ujP32IlFW3DhOJylFFbOgmkiGFFnF5Ih3p\n",
              "ykW60DH/eUeX2qj9RCJnk5ZV1AbVkhCp9Z4TiZSFEkl0HEskmVj8Il3pyEXiP+UvFz1FEteG\n",
              "ta3QAojUfc/gInmaMIhIO6dI2UJEOtGLvU8k0nmWJM8c/4sKelYj0rNn/LiLOqzsm0dxpVf9\n",
              "z5PLw0St93Gk7xCpdVoN/ylgWtp/Xtw++wqRqvW4s+qPmutTtqbruDPZxlTWMWskI44SqciP\n",
              "7yPLyFvi2bOqSHJfQ6RnibZPfb1NLRI7k5tiRHK+rTa8q2gzDJsckYhUcXvt7LjTGe2IRFQV\n",
              "qcw6/hHplh7mEUm2q7/59KbYoEhZSJGyEUSSzTFcpGzZIj2ymTruTjqtSLJ26tuxViTPPrUp\n",
              "yIJCpDFFEgPL9kQihZy1O4aftauKJKva1a5G/ZstKVuhtQEQyUhsApF2EGl/YqPTPZ3rY9eV\n",
              "uq1Isi3UaXE3kTgy6KlGRwoq302K5Hvngkg+Oq21G3dlgy5S1kskleKOtKCnGisplAXdqEiZ\n",
              "JZJW3IWJpO3jK/FAfxQ9RNrf2Bv+1ROvrtQQCSJxmkSSJxVaGTuKlMUv0oGt/vbFqyt1xCIZ\n",
              "zQ+RRhVp10Ik49W1idSWRYqUQSTtGhMidQQi6a1gNduaRHJ1b/nCwkUiSiDShCJ5epIlUrZG\n",
              "kepe3YBInpJDJLP+teZyiCTSr+tJGUTSU5pJJJVreJE87bdmkbQaDCWS3Sdcre8UiZpPDjoS\n",
              "sUhlpc0iUmb4AZH2g0WSVUKqoqYRSUYYXyRXXxuSZiCRMqNlOogkj2d2kbQ+BZGUSLv2IpHs\n",
              "n0NEyqYTqd8EW22aZd+rj9MkktEcXUXKakXSWiapE4nFgUhVZhApg0hDRcrGEWnXQqQdRHLi\n",
              "EUn2TFskVb9tRdKaCyLFKhKpxCFSH/qItOskEul/Q6SRRGKYJXcnUCtS1iySlG2ISGVzQ6S2\n",
              "IpHsiTvVyosWydf5W6c5lkiZ7pK//rRgR5F2AURy9CmIZG2yRdqVImVrEClA4uOKtJtTJJJz\n",
              "FRDJbEyItAWRZEECiJRBJGdjziCS6ilbF8n9ag+RzJRcImUQKQRxibSDSElgkXZVkeypM61g\n",
              "iWwZKqsUIrVhOpGovJWXQKSYRFIto4mkVSlEasOEImVdRHJ3pbWLRDLLaUXaKZE4EKk7I4nE\n",
              "GmuQSDuXS3rVy+5gi1TTCXswg0i8K48jUlnRHpEMZSBSe8YSaRdApOrklVX1bM+KSCzrEDbN\n",
              "I5LnxG+gSGV7JRApNIsWaVcvUrv1CH7dliySTAEiVYFIc4rEi9kmUX+OvUVicpAch+tEovKu\n",
              "qExRTxwi7bcjkuox9pK98UUyO7Apkiz5MAaIZLRIrUiZqj+5l55AVkaASEGJUaSyBc0CdRPJ\n",
              "3VWtoxRFMTKxXp1JpEqE9iJlzSLtrN0h0lBWLFKLbl+5CqoTSespw6gVicQ8p9YzrQgQKRAQ\n",
              "KQqRhs0H6n2Pob2wEJG09oJIigWIRGWHXpdIRhmXI1JWthdEUixBpCwekRiNyfpydIokxQkq\n",
              "EpU3xRPZwSHSHiJFIdKuv0hEVCvSbgyRxA4qd4jEWZhIJH7MKlJDt59WpGx6kTJV/ElEUvlA\n",
              "JHez9RfJiDiVSGUndTWMZoJseO2o7YgTiKQVdyyRHK+OIpKRNUSqNFsgkWQyds/0iSS71Fgi\n",
              "lcImHUTqo9MQkUT0XiKJOF6RzHaDSIKHG6XnAwuy70c61EeNWyQi1aUCi6R86ClSj1tKbpE4\n",
              "jSKZ+3QTyf2qvTtEqnBmbZMW+lxZ8FYfN3KRyi4VWiTnmr45RDKKC5EiEumOHnOHHuhx4HfI\n",
              "RiQS3zCeSMwOmUkir50g0rZFuvAciy+/PLNvNX9Bp9rICxFpN7JIZT6yz7PihhapUj12cSFS\n",
              "RCJJRahw6rgvhqhLfawFieSueo9Idnf0iST3dYjEKYvbWiQypiQaRbKPWksGIs0m0qH4LnMq\n",
              "B6ca1i1StWGK1zqLZJSxtUiGDK1Eysyj1tsCIs0l0kNxVucWiXSeJckzx/9RReKUPXNkkSrH\n",
              "xX/nf1fKuOP1UYr0zCFSno6ZLpGrDtk++t+O6rGLaxy1XuYtieTqj0X9zSLSMb3sox2R9ODo\n",
              "IhHZFxvBRyT3TSW2D0YkLaIja7s1YxuRDumVaQKRlBxji0S2TqYM5Kweu7jmUTMg0pwiXfmt\n",
              "oxQikVKmnDtQx1cp4050XVlGsrP2iOS4HMuUYVa/bSeSoy4g0nDai3S8XY8swGftjrHN2s0h\n",
              "kmgjXSTHwex4568cqlHcWpHIPIsklSVEWqRI93QVoRO7j3RP59q4mxSpjDBAJCLt5m0ib7VC\n",
              "pPWIdFQexbqyYWqR+J6aSGbv6iqSKlNZUxApq2atCrZQkR5FWxcZ31jgWh95GyJlnUSi6qGa\n",
              "xZVx1b3SJpHIOGqItAyRSJKHD2z1ty8yRKqIVDkuj0i7GpF4C8gsK/0WItW0ZkwidQIiBRFJ\n",
              "FVPVnzxEqlYARIJIjr5n1J27FTYgUqY2JY6bRhAJItkHXel7Rt25WyEWkcQL44pURoBIEGml\n",
              "ImVG4o6DCSGS1mkyI3FH9djFhUgQaYMiUfVViASRIFJXkSoFg0h61qpgEAkiQSSI1AqIBJEg\n",
              "UgAgUliRtJ6plRwiQST7oCt9z6g7dytAJIgEkSASRIJIjUAkiASRAgCRIBJECgBEgkgQKQAQ\n",
              "CSJBpABQHb8DMAO1HdLzBJ+OjCJSLb/v98/4D/7P/l0b/L1txMqm39tGtIN2ll2ybldc16vO\n",
              "4rbJ+vdOZawk3mL3yqa6fVpm3dQytSl6atedzO8TdG2I5O2Z3bsHRGqbNUTqD0RqShEiNacI\n",
              "kSBSY4oQqTlFiASRGlOESM0pQiSI1JgiRGpOESJBpMYUIVJzihAJIjWmCJGaU4RIEKkxRYjU\n",
              "nCJEgkiNKUKk5hQhEkRqTBEiNacIkSBSY4oQqTlFiATAWoFIAAQAIgEQAIgEQAAgEgABgEgA\n",
              "BAAiARAAiARAACASAAGASAAEACIBEACIBEAAIBIAAYBIAAQAIgEQAIgEQAAgEgABgEgABAAi\n",
              "ARAAiARAACASAAGASAAEACIBEACIBEAAIBIAAYBIAAQAIgEQAIgEQAAgEgABgEgABAAiARAA\n",
              "iARAACASAAGASAAEACIBEACIBEAAIBIAAYBIAAQAIgEQAIgEQAAgEgABGCQSUUOEwyPR4x0P\n",
              "n1NKzwftxYeb2mC89iBSPVT26EV6eTiywPHhkjZFdhZk2vKyMlNjSeMpbN4N7mVgGQUeg3FF\n",
              "SqmAmXRlwVv52pltSA/2a3ci1SPfOT0OKSErJD2yQC51U3mdBZm4vDn3pPpm/IUtajiVgWUU\n",
              "eAxGFelcdOEzXfLgc0rv9ncpPZev3dHjoXi/ebRey3/zVB/pLJMYRN4mvJ3TW1N53QWZuLw8\n",
              "qeZkYikse6s6icAyCjwGo4qU0kHGOrO32BeixnMupJLQX3ugK5WvtMijRSHPbEy8y383iu8q\n",
              "yMTlLdJI86prihRLYdlbFR2bk4unwGMQQKT7Sz7knvnfxwulJztWMSBcWFXfsdHJTkJ/LX/j\n",
              "EZUlulKrqwV/Ie/pYV80yguzvAdx+nBQJ5zugkxc3qITnfPu9EJmJ3/mFwl6mSIpLMtGtCtP\n",
              "PL/auT2U1XqjQ2wFHoPhIp3YySsbefMOSmqcl5xZN655RznQ1XztTv15EoO57WX3Qh5Yo+QN\n",
              "ZJX3wk8fymHSXZCJy1tcJDzPT3CuZYnYT3bp8FiWKZLC8rQfWVWW5SxyvjIjjvxAoirwGAwX\n",
              "iYr3zhcieD3k7/zajELxwllFrdbeQzGOW6/J3w+FlenDkAKK5G6scKld3nt+xv1IxzKqqyDT\n",
              "ljfvTsXbrnZavOeF5ZcOTpHmK6xIkw8/ReIvRDlfiDeok5o2iafAYxDqGkn00ed7q4YeLimr\n",
              "T7dIx/RSfU3+5kPH4LegPLkze4t/rJSXn3WU4jc29RTlZWd2e3FuV4p0YR3yvoNIkxRWpvlQ\n",
              "nHfo5byKir1FWOAxCCHS8f50FSJpWxWPso4rrx1S7fzFrrqHoj8d2M6DyJMr3htPece0y/tQ\n",
              "NMzzsnWamnqS8uZdr3g7ulPv8fxnpQLjKKxKs3hTsspZDPVHfkISV4HHIIBI/KS4XiR2qpLa\n",
              "/YDtyceC1Fl1fLg4GCeKPQtZnKcXZ+x2eVnJTurMrqYgE5f3SJKjV6QoClumKUd8rZzFW9S5\n",
              "vOERT4HHoK9IFyXOI90e7o8ekcSIz688tVm74+16FGkZr5ldxnEq3Y0igfyCo3DGLi+bar2V\n",
              "beMuyMTlPSmRTl6RoiislsqF7uxyprfiX3wFHoO+IlHxDlHa4xaJXzAfi7eRkzh1VgM9P41m\n",
              "WK+J/fk70yHA9Le6w2mXNz9/ut5p593ugkxcXnFPhlebeLMnxzVSFIXV0szLq5ez8OBMD7HV\n",
              "7mj0H5HO+SHzi8Pn+zv3NRLrvYdLcWJbWdlQTovar4n9z1SsrDpr6vWjSO4Fsbk6UUhV3qLX\n",
              "puWZXU1Bpi1veavtSnd5+R72B1bYyqxdDIU10jwRr2o5a8fPUsvVcfEUeAz6ivScnXwUB3sW\n",
              "JyLPHad2qbynUHRZFWQ8yhOYymty/6u1R0+K5I7aFYdWXvYOr591uwsyaXnParq4eFN+KJK8\n",
              "sByuZf7RFNZMM9XKeRVF1HOIpsBj0Huy4f5GN/6mkVfC9Tkby6vXSOeU3eXey9W75SukVZ35\n",
              "mtrf2qMn/GydnRPwlMvyFucKxoxqTUGmLG+aGsFTqqbt8+Svz7UyRVBYM01x3vmg2jwfnvS1\n",
              "t9EUeAw2/nmke6Jo1xM7ifg9edtsXKRrvDcmLNhF3uES70XCxtm0SFGfdFuIWfFoZ622zqZF\n",
              "SiuL0SPmIb/cvmE8ipVNiwRAKCASAAGASAAEACIBEACIBEAAIBIAAYBIAAQAIgEQAIgEQAAg\n",
              "EgABgEgABAAiARCA/w+US0ZziLK0wAAAAABJRU5ErkJggg=="
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 9,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "addSMA(n=20,on=1,col = \"red\")"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Plot with title \"[2018-01-30/2018-12-31]\""
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAulBMVEUA/wAiIiIlJSUwMDA9\n",
              "PT0/Pz9DQ0NERERHR0dISEhLS0tMTExOTk5PT09RUVFSUlJUVFRVVVVXV1dZWVlaWlpbW1tc\n",
              "XFxeXl5gYGBiYmJjY2NkZGRmZmZqampwcHB1dXV6enp+VCJ+fn6Dg4OHh4eLi4uOjo6PXSGS\n",
              "kpKVlZWZmZmdZCCiaSqpax+qqqq0cR69dhzGexvPfxnXgxjehxblixTsjxLtkBfykg/zkxP5\n",
              "lQv5lg7/AAD/mQAbIVVPAAAACXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2dDZ/bNNqv\n",
              "EzeEoQztMNlpMpt7ebYLlIU+bBcKnJ6e+Pt/rWPrzZIsybItv/+vH3QUW5YUW1cky7K92wMA\n",
              "erObugAArAGIBEACIBIACYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZAAiARAAiASAAmASAAk\n",
              "ACIBkACIBEACIBIACYBIACRgQJFORHTyLiDB9XwvPw9XFODgF0YRePP9z7/88uN3fOnr4sPP\n",
              "379WsX5kUUq+K4IqmsQfXfLdu19++fc/XdFfFyt6Zm/EMBJyZl9FV18+FQOKxDzxLqCKk/g8\n",
              "XFGAA1mXvuOBX74vF775mYV/fiMifaeq2w96NIk/uuR7vtU7R/TvWGJ9sjdifOeKYWSvRV+Q\n",
              "SK+YJK98CzSR6OUeIo2PqEuvf5GUv9v/FuF/8zjfqer2TyOaxBtdIms3r95m9KKS/0+/7PUY\n",
              "r10xzOy16AsS6VI0NUQX3wIpzv2V6GkPkcZHVKR/Fb/Xf9+//oHV3n8UrcHf938v2oV/FKve\n",
              "/FhVt6KK//BaRpP4o0uK+D++3v9PEa8WfV90ut70yt6IYSTkzN4q4EJEOhanP/tnoqNngRLn\n",
              "jocg0tiIivROVGv2kTUS+7Lmfc8XvZPVzf7L8EdXMX78+bXayoy+Z9W7T/ZGDCMhZ/ZWARci\n",
              "UtH4PO4ftdEFa0ElDkSaBlGRfvxRq6LFT/bfi/Cb4oecLfpRVbefVU3+uUrCH92kEOSHWvR/\n",
              "sIV9sjdiGAk5s7cKuBCRih7bYX8oWyH3Ar1Fuu4h0viYFekfrPKaP/zvvquW/Ev1rf5ZT6Ie\n",
              "XafsUOkNg/j7Lz2pTtm7cuQJObO3oi9DpHt+NnQmuncvwDnS1JgVqTgJ+c6uyUbonTht/9GR\n",
              "RLh2ljX5u3p00fz0yN6V479FXo7sI4ranaFEEsIU+pzdC/RRu7s9RBofoyK940PEITN4VX7n\n",
              "SiJcO5UAZnQ9arfsHTm+q0cx/VuYSKoLxzp0rgWaR/fi8zBFAR6siuzofBkhfWRaBAPRZYyS\n",
              "okv2jnXJjOh/12p3x+xrX0NPqJ69L+kkDCTSg+bJg3OB/HA5Ma8g0uhUFelNefX/jb6sXt2+\n",
              "Vycp37cVaS8nMRjR/6kqd+fsrbhmQvXsPUmnYSCRnjVvnp0LbHEg0tioivT6Z9Uf+rG8tGO0\n",
              "FjKWMWwm66k/uozx/Y8/V8uN6D+K4eoe2ZtfQ0/Imb03lIJhRHqpnwGVExdqCyDS5KiK9K6a\n",
              "VmNd6dnXGwmj+vmjS97xE/03TAAj+s/9s7eWvKtPIDKyt6IvQaRTNRXogV05qi2ASJMjK9IP\n",
              "5lQ0fe6BFqs4R3nH+1baybw/uuRfLMabd3JanYr+RibUI3szR8c6M3urgEsQicSIwp6NMpBj\n",
              "gUskxSBlAhaiIv39F8W+Ntmtqm5Rc+0ctfNnudlrM3rR6vyrd/Z6DDMhZ/ZmARcg0it+aYhz\n",
              "Lhqj2gKIND2iIv1gVEB7+nVV3cQ86vDs73rtFDH4lRwt+g9iUa/s9RhmQs7szQIuQKSLugy7\n",
              "51diawsg0vSIivSzWQHtG4Kq6vaPHxy3+/ijO2NUH/4tGol+2WsxrISaC7gAkcASSFuRlgdE\n",
              "AkmASBAJJKDeDdoQyb88RNosEAkigQRAJIgEwMyASAAkACIBkACIBEACIBIACYBIACQAIgGQ\n",
              "AIgEQAIgEgAJGEQkAmAhpKrzw4iUAbAIIBIACYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZAA\n",
              "iARAAiASAAmASAAkACIBkACIBEACIBIACYBIACQAIgGQAIgEQALWIVKeh9d/MD/+lsvNGFWo\n",
              "Ssde8KsIfPycf/741h+0kgHRLPxHcxMifTJXvxfR39dF+lylaCx4+5lv8hdb+MkbfA+RugKR\n",
              "OHMWyVz9/rMS6U8z3of8V8+CP/kmv+af35fb/+oL1pIEsUAkzmJE+i3/S3z+Lf/diPb2s2WB\n",
              "WvBf0ch8zD+wT7/7gnaSIBqIxJmLSB+KxuPzRx4sjPnrg+imVXE/Zkqk34xU/szfZs4FP0n3\n",
              "/sx/ykSz4w7aSYJoIBJnJiL9zs9RSpN+48HfLJHeq+h/5h/+kNKVK/KPmYFa8Ff+E99EbFj+\n",
              "cQetJEE8EIkzE5Hy/L+sJ1YEP+fvy+Cnes9PicT4Syz1Nki/F2lGi2QkCeKhZbu0NpG0z3n+\n",
              "IbRaSPf2o+iNvc//MGPJBazPFimSmSSIh4ggUslsRPrpw+/8jOZjnv/5/r29uvb5LR/CFkMG\n",
              "GnLBp89vo0UykwTx0A4iMeYi0l/VhZzfP5cXgn5qEEl++myP/IkFfzCfeKTPlTLuoDMDEAFE\n",
              "EsxEpD/yT799+El+/vDxU+AcyfhUuwIkF6g5Drkcn/upGqqzg84MQAQQSTATkVjoJ6tx8Ij0\n",
              "mQ0mCAFqA9dygS7S76x1+lCO5rmDRpKgBRBJMBuRfs3e83OkT3wAj7VIP7mifyyr/ltxKvRn\n",
              "/t5M01wQObPBSBK0ACIJJhZJthkfRehXPh2Bhz5pk+h4dPbn7Wd1zamM89Zc+8kYDVcL1ei2\n",
              "M2gkCVoAkQQzEak4Scr/+vUD61uxmQ3lZLlfPzlFKpqOz8UplbnMMQinfXrL5nk3BD9h8Ls9\n",
              "hUjlCPhiWYdIYPGUIuULPt4QCcwCiCSASKAPEEkAkUAP2GtYIdIeIoFelEN2EKkEIgFBl6MG\n",
              "kSQQCQi6iZRBJAZEAoLWR61ojCCSBCKBki7350EkDYgESihrP0EBImlAJMCbo/Y+QCQNiAQg\n",
              "UgIgEuD9upoPjUdRE2mxRxwigUSQr0WCSG2ASFuns0gkbqAgWvCdFBAJJKK7SLnwZ8mTGyAS\n",
              "SASJZ9NBpF5ApK1D4nZxiNQLiLR1NJHIWtGwIVkiLfGwQySQiM4iqWlFEGkPkYASyR56a5x+\n",
              "Z4m0yKE7iAQSIUXK7KtBrUXaLfC4QySQCDVdtYVIpP3LQhAJIm0dqrwwjlvohS1ekRZ35CES\n",
              "SEQlknmSE/LCXg6RINLm0UTKIVJnINLWUQerLpJ3HM6+DRAiQaTNExLJN2GBrJEFiASRNo8p\n",
              "kjaA0EGk5V1KgkggEUlFWtycO4gEEqEaEV2ksm3xe8HX6gsgEkTaOlVvTBcpD4pkd+LYlhAp\n",
              "OUvbm5umm0jWxVuIBJG2DkRKAkTaOi6RqK1I1CzSPCsFRAKJSCESmx4BkZIzz30GnDhEIimS\n",
              "57JQfTlEgkhbJyCSp/I7lpN4KBdESso89xlwQH6RvLdReES63YIPQZlnpYBIIAl+kfw39jmW\n",
              "FrELjW43t0jklG8WQCSQBGNSEHUX6XZjz324QaSUzHOfgTrmeIJURxfJ2fyY3G5lr44/ieim\n",
              "1tvpzrNSQCSQgnKkTfsUIVJt0Y27I5/WehPrb0wv8ZeZNuT36AxEAinoLRKTRRcp08Qh7hIf\n",
              "ipjnHRYQCaQgJJJaZm7B/VANjVyqPT+cjMTEWlJxtZSmByKBFFh3Q9RFIkso3R5jS1sk/WUv\n",
              "xFM0N5zHTYAQCaSgpUi3m+cyrdhSiEQ85SoRmaKu0jwegweRQApskcQbXgyRVE+t1CBSJHKL\n",
              "VKThyXoqIBJIQU2k3COS7NH1FakyafYiPTzT9XSwg6erCkIkIIkTSRu97iVS+XExIp3YSd71\n",
              "YAYvLPgMkYBBRNeuGsLOMmonEpFcVYmkTJq5SHf0VIjzQE9G8CVd7/Z3V3oJkYBOrTbLak9V\n",
              "h06eI0mRXMNtlkji6Sikp6hudrp5sp4Er0hnvobICJ7ovgi9okeIBHQcIlE17/tmDDYokRwz\n",
              "U22R8sWLJKsyGcEzHfdlE3WuRYRIm8YlUi5FKmu8LhL5H9IVFEndqiSvRbmznoQGkQ50MYJU\n",
              "NU4WEGnD2M955AulSPzUyBBp102kXV0kZ9YT0CDSA+vKVUGIBBwERRLtRnVnhRLJPSUhXiTW\n",
              "ZVyESMfr2QxCJOCAXPN0hEjyTEbqkCuRPJPkNJEyv0jq3GsJIh2uFys4tkgvwBIg9p+9sFTm\n",
              "Bd3EJ+JRtBbJsY22LUuWiyS2fCFFqvK78aWpv08HSMeux5dnO3hFiwRquJ/KwFskdbXHPkcK\n",
              "vBDT0SJVo+nVUyDYOMYCWqTj8+VoB/mo3RGjdkDD3U1jNb6af1Ddl0TUWPfFxAhLJDn8rd6e\n",
              "npW9u7mLdF8N2FXBRzb4cE+nWnSItF1GEUmbK6GLRLfbvEU6Vh5pQcxsAFlmW+P2oqzxt+pT\n",
              "H5GqOUWaSCSHINwPShkZr0hP1YmTFtw/s8ClHh8ibQhbJOc4dnkHHmlxqkaknUi0bJG0EQh9\n",
              "MOLAZn874kOkDUHWB/f1oPxGCUTSxr6zrCaSPsI+KbgfCbTHFskdqS4SycqfTqQdRIoAIs2T\n",
              "OJFuNJJI2QxMgkigPVEi3cgUSV05gkghINJ2oBiRbmo8QGxTzfXpJhL5RZqBSRAJtIRMkTxT\n",
              "T2/WKEQ/kfTWDCK1ByLNEFskpxS3zB7O69W1q1qmaoqQLtL0JkEk0A6ybn9wSsHqtSVSNfzd\n",
              "PKsnLJK8rptBpEgg0vxgE07Nz7U4vFqnEIkqkfgKj0iTmwSRQDu4SPzIyNMXG5dI+udokVQm\n",
              "EKkXEGl+WCK5pquKSm2LlA0hkirLxCZBJNAOfi+RnOjWUaSm595Hi1RlApECQKT5oe73zkRt\n",
              "rh0kWaX9Inkv4qp4uZmuJVJmiGRlOw0QCbTDfHBCg0i1jWMzoQaR7LHDDCKFgEjzoyaSTahC\n",
              "Rx9QqzWri7Srdw8nNQkigXZYj/IZSSSKEMl4a9LYQCTQjiaRgpW5zQG1h875X3/XrjHzQYFI\n",
              "oB3TipTZgw1tch8SiATaoYlkDwmUhGvy4CJNZhJEAu1gcwmESPWnBzXU48QizahNgkigHVwk\n",
              "TmuRWmXk/FBdC4ZI8UCk+aE9Hqs+0ydlLfaIpOY7+B7VOo1JEAm0Qxdp0Es5XUWaxiSIBNph\n",
              "PrDRJKlH5s0adhAitQEizQ9dJIu0NdjdIlUL/E/hn8IkiATaoURyzCxIm5H3Q5ZBpHZApPkh\n",
              "RWp5KbZDRt4PfEHgvTATmASRQBu0Lh1E0oFIoA2B5y2krr0tRBra6QggEmgBeSaLlowvUjUn\n",
              "fOiyNAORQAv8r1BOX3cjRPL2Msc3CSKBFgSeWgKR0gCRtoBfpPQ1N3zwIVIbINLMWIxIo5sE\n",
              "kUALRhuyy5pvuYBI8UCkmbEckcY2CSKBFvhEmmaeKESKBSLNDIjkAyKBFvjfKjYBECkaiDQ3\n",
              "ZtQgNYg0cqEgEugPRIJIoD/TeJQF5tqVQKQKiDQXgkdiKpH8s79LIFIFRJoLpP6pM5FHECke\n",
              "iDQXSK+3FjMVadxyQSQQA0RqACKBGIz76Eym8sgtkhaESAqINBeofNeXe1rDjEQyZYdICog0\n",
              "PST+JccTihlzEmmnXu1XMmbJIBIII0XKPCJN5pEukryeBJHcQKRJ4WPecuR7eSKNWTaIBNzI\n",
              "Z6mKfyjzDDZAJJ51qjoPkdYFVW9r5SMNvuHvKUVSIY9IIxYOIgEn5VtbNJHIJ9J0HkGkeCDS\n",
              "RJAmUvXf8kQar3gQCThYrkgEkRxApEmgeJEm9MgjkhVprAJCJFDDLZITiCSLkKrOQ6T1IF9b\n",
              "3izSlB7FiTRWESESqEHWmDdEiihMqjoPkdaDJZL3RS7TegSR4oFIU8DnUC9KJPnXIdJIhYRI\n",
              "wIYPIssTpZmONGQQqQUQaQqkSJl8zyVEiihMqjoPkVaDqo4NIk3sUaxI45QTIgEbrTouTyRH\n",
              "PIgEkSahJpKbqT2CSPFApCmIE2lyj6JFGqWoEAnY6CJ5R75nLNIkl5IgErDRT9ln7JGG6T1E\n",
              "qgGRpmC5InmerAyRINIUxIg0K49MkerdUYgEkaZAP2VfhkgKJlI+RZMEkYANROqSc6o6D5FW\n",
              "Q4RIM/UIInmASFOwVJEIIvmASFOwdJEmuScJIgGb0Lwgzvw8UvPVM5f8EGn4HQBqLFKkPCTS\n",
              "CAWGSMCmUaT5eSRF4uH6aogExmehIqlzI4hUAyJNQZNIM/SIibSDSD4g0hSsUKThywyRgE2D\n",
              "SHP0CCKFgUhTAJG6FCBVnYdIqwEidSlAqjoPkVZDWKRZetQo0uDFhkjABiJ1KUCqOg+RVkNQ\n",
              "pHl6BJHCQKQpWLpITiASGJtZP8zOgz6zwc3AJYdIwISWKpL/QS2M6UR6eKbr6cCCp6srCJFW\n",
              "SPnDPuenQnpoaI6yCUU6sXd6XEtnLiz4vDeDEGmNlI8QWqBIDc1RNp1Id/RUOPRAT/v9S7re\n",
              "7e+u9NIIQqRVEhRpvh41izRw4b0infkaorJtui9Cr+jRCEKkVQKROubfVJWpdOq4L5uosxGE\n",
              "SKskJNKMPZq7SAe6cJn2/I8WtIBI64C9rg8itc8/XJMfyq4cRNoQZXO0wJ5dhEjDFj8s0vF6\n",
              "3kOkTbHIIbts5iIdrhdNmylEegFGphDJt+o2ZjnaElFVBi0/6dj1+MKvF10re65okVbOIofs\n",
              "MrtFGn/eaqBFOj5fjizAh+qO1ajdEaN2q2XFIg36Dfwi3dNFhB7ZxaN7OhlBiLRKFjn2nc1Y\n",
              "pKPyCDMbtgRE6pi/rw4/aSdOzyzAxNKCEGmN+C4izdyj+Yqkj0Ac2JRvtlgLQqRVsswGySz2\n",
              "BL8GuB8JmCyzQbJEqr8iiQGRwGhM8sSD/kCkEBBpfCBSt/xT1XmItBJc+3z+HkGkIBBpfBYq\n",
              "kgFEsoBI4+PY50vzyCvSgN8EIgGT+j5fnEcQyQYijU9tny/PI4hkA5HGZy0ijTz6CJFAmAV6\n",
              "FHhc5GDfBiKBMBApLstUdR4irZMlegSRbCDS5ECkyCxT1XmItEoW6VHokfpDfSGIBEJApNgs\n",
              "U9V5iLRklvmcBi8QyQIijQRE6p1lqjoPkZbMQm+L9RF67dhA3wkigQwiJcgyVZ2HSEuG1jHr\n",
              "WwKRLCDSSJDreSGL9cgQaaSvBZE2T6kQOSZML9cjiGQDkUaAvxEJIvXMMlWdh0hLpRQpr4u0\n",
              "YI+ESPwLjXSjIkRaCoPtC3eLtGSPZG+Vh2trIdJm4c+8HSrxnescadEi8VFIn0iDfDeItACI\n",
              "976GSt0l0rI9YiKJnx6ItIdIAvdgQLLEVyhSVn6vHCJJIJLqpQzWtSP+IhdTpOV7JEVy7rcB\n",
              "vh5EmjskOimD9exWLpLrfU8QaYMMLxLVRFqBRxBJByJVA1BkLEqXvDwnh0j9sktV5yHSQCQW\n",
              "yd62HBBkf7ck0gBfECLNHVuknr08e+aMS6Q1eASRdCBSTaS+12ZtH11dO4jUIbtUdR4iDYR1\n",
              "MaTvtdlawyYFraanrcQjiFQBkQyRKMEkB1Mk0kWiVYm0Ez8NTpHSf0eINHP0flxvkaQ68o31\n",
              "ekunRFqFRxDJACLpIrGaLm566HaaRNVdfGQlszqRCCJVQCT79EhMu+vUKFEm7RH/klbLlEjr\n",
              "8IgPNphfUQcibRjVH2stkjzF4gqJNs38uZaL1uIR/0Y7n0jJvydEWhBiaKCjSKo1c4tEEKlX\n",
              "bqnqPEQaHk2kdudIXKQd8WEGp0isvcpoPR5BJA2IZCBFMobbmreS01L5LO9MF4k2IdIYV5Ig\n",
              "0oJQsxFazRIyL02SGrOoTeAjuq3IIymS51cHIq2B2O9l9eC0mt+5RcrkreV1kW634R4MMQFc\n",
              "JN+vDkRaAdF9M6uDb36It1GdI6lEHSKVGg33qKIJCIuU2iSINAG+frszov5R/3BTNCUiJwHZ\n",
              "IukplqmsVST3Tw5EWj4NIhmXYN0rbqz9qD4EcxPKKJF4R88Q6SbSX9MOh0gVazquGoFzYLZa\n",
              "j+hYz8UxqkdIJSWSaprsrOTWEKlHbqnqPESKR0w89XXbgiKp5seqHgGV7JE+O81bFXFNO1yI\n",
              "5D2bTGsSRJqA7iJputSatIYOnjPItvOtWDgQqWJdR1ZhzeA2T/t9ItnjCo6+YbCD512zVZHS\n",
              "mgSRJsB6/4PR9TKGpSuR6o44bzn3D+N5d2XqCyqzASJVrFgk8oqkjUMokVzH3DuNzNky+Xbl\n",
              "aj1qFinpd4dIE6A/bVsJpG5b1QbHpSruNkaJVN9NlUoyyignCrNC9Z4h0spFYs9PVfMOqrlh\n",
              "2iKuivuAh0SqtpFR3PddrNij6rV9/jkgCb8+RJoAbeaKuKSUqVuFMrlKueYdQgiKlN1kT5FH\n",
              "cYm0qjmqNSBSxTZEKg84H3yQIhFVQgWuDzmusGprbyJ9M27FujWKEimhSRBpTLQTluosiItE\n",
              "lkiioQrWdrL+mitzNn/O12qtXSOIpLNKkagKatdmSZutLIcemg50g0jlfeNj3SA6Q2JESrcf\n",
              "INKY1I+rVyTmUsNhlkqaj74TAXZWdLt5Zut1/QYLAiJVrF2k6r5v9TgFXaS4o+wQiarbYuuX\n",
              "aJtvvFgHEKliGyLx0yM53J1IpJ3x6OvSncjbl1ZDlEjJTIJIY2IdV9UGyWuz+o1K0U/GihFp\n",
              "I705g2pQEyKtXaTcECkzRBIXgprT1ObckV+kDaL2CkRaWyXQRu1YSLVI8rKpNqX7FjUZm1wi\n",
              "8XRDj77eBFEipTIJIo0JVY2G+CwqOukRGDfPqLYzRemSuIjLWzqIJP9CpLVVAnl5yPhsRpBE\n",
              "nyBpQ3QQySBOpEQmQaQxIfXKVvm5FkEQe3QhUjMQaXsiKWIbJHGfAEQKAZHWVgmiRYpukHY1\n",
              "kdSsPfkOpD4FXgcQaWWVQLwKQlvgiRh9bEWLlFUiyZdNCJGiRizWTsM+SGISRBoTe3Cht0hq\n",
              "iqspUjX8DTKItEaRoup2iyNb+aPGHXakLsiubf+lRf6oQaTFMZBIKmWI1IbgEzFaJ5aqzkOk\n",
              "OCK+UpsDa1+UgkjxoEVaJqT9G6S7SDuI1IZqEkmCtFLVeYjUxFgiUSUSCFJNa0yQVqo6D5Ea\n",
              "UNPhmmh1WB0T98zpd8APRFoi1vRUP0lEytCvawYipWaMfKIn6/QVKYNIkUCk1CxXJC19IlMk\n",
              "0ETrKcKhtFLVeYjUlEekSF0PqnpmfAaLIoFIqVmLSMFHrwIbiJSalYgEgaIxB34gUhpGGSmO\n",
              "FKnzMYVILZCz5iX9TYJI1dzpgbMZQSQQifluKoiUhFmJ1P2I4gJsCyDSAKxEJPTrWmCL1N8k\n",
              "iDQrkfocT4gUD0RKj/5a5EHzgUjzYWSRHsTaw+lK19OBhbWgwXJF2s1HpF6HEyL5sfdNTaTe\n",
              "JoVEuiO+9nhlc4mvxyJ8YcFniNQln8Y4EGkgyPo0qkh3VyHSE52Kf0/0tN+/pOtdueIlROqQ\n",
              "T1OUfgcTIvlxi5SNItIDXYRI2p8T3RehV/QIkTrk0xQFIg2FsW+0s+LqmsFwIhXNkDDoKkS6\n",
              "7vdnKvt3d3SGSB3yaYjR81hCJD+mSNUR1458373vrcR3qil6FF27R6NxWpxI5K5r6i2uAzO4\n",
              "SMDPlCJpvjyUow3Xh/06RSLSJ04PBkSaEOPYy/f2ZqOL9MiG6h73qxSJn3oO3yg1igSPhsMh\n",
              "Um6J1PcMNViP+dqHsmt3eKKH8UV6kRBi/9kLidg/xR51rE2a/a4h/dug2W8b49hLkcpgXi3u\n",
              "t/9JxyPSM5UXYA/l1aPr0luk2pU58byQ6VskNEgDYjx0fbIWSfvDR+2Oixy1g0jbxZhPyR//\n",
              "VxOp5+XwYD3Wh78P5fD3I7uOdM+G8UxmLhLNXSR4NCS2SNkkIp2onFx3Ku1Z7MwGbhFE2ihR\n",
              "IvWbMhwhkphgdymDz1XQZN4iybNAj0iZEKl7fs1bQqQJmYlIfMo3Cx2qoMnMRZKXDoYTqWnb\n",
              "sEjwaFDiROp1W2WqOr98kXo9LhsizRqHSPYF2RKI1Pg1d2qMv7aC/6V+N/hBpFlTF0k8kMs6\n",
              "4t0Pw3ZE4tcS7OnzxlN+u4sU0ZgFY8CjQTF/JCFSdyJF6ty1M19W7okTWAeRBkXMAZOfIFL3\n",
              "r6mNKfCA+qub1b1nt+s16xUeDUu0SD0eK5iqzi9KJFIiZcbfoURqShciDQtE6vq1al+zUST5\n",
              "oVuWDV27hnTh0cDURcogUrevGSdSw5BAMH2INF/iRer+DoNUdX6RItXT7zhw10skeDQ0EKnj\n",
              "t6p/TadIjuaniHAraZ9+WKTAang0OPXhb69InV+YmKrOL0kkeWHWcY20dIjY307p+1YHRIJH\n",
              "I2Dej+QMSiBS8GuaIu3cIhUWVbPAW+3QsEjByUcQaQTI6F6TscKm2wHZikhki5Rltep/ExGo\n",
              "+tg2fc/awOA4PBoD0v6FSH0QKYm5qU6RbiKC2rnRe7SpmAGR4NEotBGp2zHZikjy67JXf6uO\n",
              "ni7STUbQHmMbuUu7iwSPxsErkguIFPF1NZHIEOmmImQ1u8JJNl978ooEj0ailUidDssmRKqS\n",
              "8Yp0qyIY+7l5n1LTkJ2ck1IHHo0FREqBPtxpilR/hHrt2Q2NO1UTyVdcj0jwaDTaidTlyGxC\n",
              "pJ0tknw5fK1Byuo3/zXt1BiRHLfmwqPxgUj90EViQ3ZsT+q1W9txZF0+pfBeJb1h8xaXHOvg\n",
              "0ehApC5oLux0L3SRHPutLlJwt5LnQl+tLPY6eDQ6qq/RXK3aH53tiqRFuNmbmSKFhsGNjmAL\n",
              "keDR+JT9+vpBcg6oQiTtm1WhBpFutc1qcnh3rHHyEy8SPJoA73OkUpy/rlokeepSE0lGcOw1\n",
              "t0jePRstkglEmgCI1AlSLnlEcu80j0jauJ4Ru5tI8GgK3M8udN8B0/oIbUAkSiJSdclWT7+b\n",
              "SPBoEtg5Uu3wQ6SmbxYp0q22mVskNYlIT98QyT9VCCdIcwAidUITifqIpJl0UxGySiRt08jb\n",
              "1CHSNLQRqfVB2oJI5tIGkXgsp0jV/bMq/S4iwaOJ8IuUoEnavEjOHeYTKauuKYkBoPYiwaOp\n",
              "8IrkPG4tj9NKReLduf4iOR62QKVKBJGWB0TqsM92RFp111bYQwJBkVyjpVTOvnMoGhpsaMoP\n",
              "jEE7kVoeqbWLZN8VYVd/996S+jn6z2zBzSlSxBwuiDQhMSJpKyFSJg0gcTHbWqd/aC0SE+hG\n",
              "jrYtCng0HS1FavkcqVR1fjki6Xj2VZNI2a2jSFqD4zcAACAASURBVPBoQvhLhCFSq69Vdu34\n",
              "8zWTiiS7dHS7Obp2jcCjSSHXxBa/SO0eyJaqzi9SJN+eComU8QPCG6V2wKOpaRCp7WMG9GRS\n",
              "1fkZitTctYsWqdrT/F92onRrWTx4NDkukeQLzqn+XvsWR2y9ImVy1M6Pdz/5RFKfeL+u5QPC\n",
              "IdLkuE5spUg5RHJ8rYFE2lUi8RT0JBpeYgGPpsd1YhsQqcUxW7VIDddIg3spTiRpj3wVTOiV\n",
              "MBBpeiBS2x3W9ISsxr0UEMmeLaG7Q9504dEMaBKp9sMbfdTWLlKA8D5qIVJtM2fKEGkGuI6b\n",
              "IVL4rs9Qyqnq/OJEathF3UQS0R3dO3g0B1qLFH3cNitS0w7qKJIc3LDPlVq/TBMMQVgk1wvh\n",
              "IFI4QuP+6SkSy+OmAtBoHjiPmyZSPQJECkdobJD448F35m1HUiTvYKA13H67dXmzMxgXMV7n\n",
              "FinWpLWK1DCftLlBysXErF4igSUAkULfK7y6p0jBzcDCEGdHEMn5vYJrm3cORNoO4l0/EMn5\n",
              "vYJrRxUJas0cXSQHcSZtUqSIXZNOpC730YIxMUXqOLlhrSKFiNkzYlK9JpIYxctaixQxyQJM\n",
              "iRJJfrLWR5m0ZJG6VtC4HZPVRCKItEr096FuUKTAhLcwkU01RNoK2vtQM+chjOrCpKrzixEp\n",
              "+vIo37+VSGJ/Q6TVQZklUoezpM2JFD/NQFxeyJRIOzmnESKtjbBIUaNTqer8QkRqMV1H3elV\n",
              "Eym8jb0IIs2fBpFirpekqvPjizT08xk1kVgHDyKtl22L5K2h3s3aeFRvkQgirZWaSK07dwsV\n",
              "iTUSvhrqbapaeVQTSY3aNWxjL4JI88clknnYmurOkkXyTsH2VN12Hqk9qgbuuogUsQ2Ynq2K\n",
              "xC3yrnVX3ZYeVSLlEGntNIvU+GiCVHV+XJGsOXD1vZKAjiKZDSVEWgTaQdqaSJn/ik5SkWQr\n",
              "436VgWMbs1GCSIsgQqSmp06lqvMrFql6TnEnkTD7e/5sWSQeaNgrfVBGkPg3WiQtkq/7CWZF\n",
              "jEgNDxRNVecnEcn9aw+RQEvqIrV9MtfCRXLe2Q2RQEtcIrW7nQIi+XdNF5G0d5vJfyDS/IkS\n",
              "KWjSQkXy3oRl7ZU+dBGJj5bnEGlh6CJJtiCSfvEsuFf60EmkTPyWCYFC143BfNAPLImrgRBp\n",
              "WpEyQyRcRFoE5nFip7muuhUwCSL5d439HubIa0IQaXlY01EgUjbcXAL/BWA7IkRaHuZvpk+k\n",
              "UAKp6vwkj+MaXaSoiBBpeUCk2qKI2+860UWkgYoCkgORaosibggfFlJXIiDSYrBF8p1/+xNI\n",
              "VechkipBdd/F1EUBsZgi0RZFsofWJhdJu4Epn7ooIBKqfdqiSMbFtFmIJB4dDpGWAkSSN6/K\n",
              "PTATkXYQaVFApPmKlEGk5QCRzHtHuEgT35MKkZbOdkXKdZGmniZaPW0fIi0TiDSPAWc5KQ8i\n",
              "LRSINBeRxMw8iLRcINL0VVeJNIvSgE5ApOmrrirB5OMeoDPOt1IEoqeq87MRaQZVtxJp6nEP\n",
              "0JmtizSHqguRVkBKkR7k2rsnoqcjC56udD0d6nEhUgXVAmBxJBTpjsTae9Zjupb6XFjwecYi\n",
              "zQCItALSiXR3lSJdr3f7w5lO+/1LKoLFipcQKQBEWgHJRHqgixDpVanQ/kDXomNH92zB4/xE\n",
              "EgPOPXZdeuZVGtCGZCIV9giRnuhOLjxTeaZ0R+dadIjkYF6lAW1o+UhCv0iFPEKkZ9o/Xump\n",
              "PEUSS6i+GURyMK/SgFZQq+MXHLVT2pzZYMN+fiLRvEUCC6bdq63iRCoHG57KE6OZiaQejSDf\n",
              "OAmRQCraPUgoTqTyHOlYDnqPLdKLBqj8j4uUl5GpcQsA4igqVh5fnUjHK5L6c51Zi5RVLVKO\n",
              "FgmkJH2LdK7s4aN2x7mM2onvC5FAetKL9MguHh3pIoP37MLSnEQiiAQSk16k4uzoUA42vJrd\n",
              "zAbxfUl9aYgEUuEQKVC7YkQq2qGSSxl8roImU4lE1TPkMogE0jGASPv7C115b+7AZn874k4m\n",
              "Uq6ej5BBJJCSZCK1ASKBtQGRAEiAJVLw7uu1idRz1wFQURMpMIoHkQDwYN1JAZEA6MJmRZrF\n",
              "AxvAaqiJtJVzJIgEUmKLtJlRO4gEUmKKFH5k4spEAiAdsk6pGrYRkebwkFWwIpRIu42J1O6x\n",
              "5wCEIfEEbIgEQB/EvFX1RuBVi0QQCQzElkTi9yPhHAkMgClSsHqtSSSM2oG0VCI1Pi4SIgHg\n",
              "QxOp6R3fyxcpg0hgIDbVIkEkMBTGORJEAqAbmxRpHi/rA+tieyK1fHkAADFsUKQMIoHkbEqk\n",
              "DCKBgYBIACRAFykcMVWdh0hghUAkABKwLZHUl+m8vwBwApEASABEAiABEAmABEAkABIAkQBI\n",
              "AEQCIAEQCYAEQCQAEgCRAEgARAIgARAJgARAJAASwB6vCpEA6AdEAiABEAmABEAkABIAkQBI\n",
              "AH9WMUQCoB/shS4QCYB+bFIkAFIDkQBIgBSpMV6qOg+RwBqBSAAkACIBkASIBEACIBIACYBI\n",
              "ACQAIgGQAIgEQAIgEgAJIPai78ZYqeo8RAKrhE3/joiWqs5DJLBKysefQCQAegKRAEgARAIg\n",
              "ARAJgARAJAASAJEASACGvwFIQVwlhEgAJAAiAZAAiARAAiASAAmASAAkACIBkACIBEACIBIA\n",
              "CYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZAAiARAAiASAAmASAAkYOYiAbAQUtV5tEhgy0Ak\n",
              "ABIAkQBIAEQCIAEQCYAEQCQAEgCRAEgARAJjE/EiyeUBkcDYLEkkii0sRAJjsyiRcogEZgpE\n",
              "CgGRQCQQKQREApFApBAQCUQCkUJAJBAJRAoBkUAkECkERAKRQKQQEAlEApFCTCfS1/Ssws/0\n",
              "jf7lWh+xb86OXUTm/w2cv2mMsnHSizScmlsSKbvS1yL0JV2NL9d2/35JXzh2UTuRvqAvW+a6\n",
              "NSBSiAlFeqS/idDfVIh/ubb79/I3z4pIiXghLi1z3RoQKcSEIn2h2qGr2Rq03b+vXQ2SSik2\n",
              "tS/odbtstwZECjHlYMNFnBl9Tawx+PaZnr9lX05VfxF6pOtj2W6JhquIeP1WS+f5IuIa8epd\n",
              "Oy2DL88sanF2dSG68GJcnmWWwAVECjGlSN/QG/b3DRPqwh4zVjphi/RYrviGrS8NOauInK9J\n",
              "2GHGq4mkZ3Atg4VJ3/KHm7EEvmXnbBDJB0QKMenw95VHZPvzNV2/yr66lv0rW6TLF2WFZ/9e\n",
              "S/2K0BeXapzvb/QVj2vGs0UyMmCRnssSfFWuYW3RV+Q71QIlECnEpCL9jZ2WvBbtTGnGN2WL\n",
              "YYvEG4ovxeczOyP6gtSI94WfItnx7P+NDL5WkapR7y8Iww0hIFKISUX6ilXdC2tRqGqdaudI\n",
              "mflZoPaF1q5Z2zmGwM0ki/Op81dfmQkBNxApxLQzG56LxuQL0k/yRxYpeyzPlq5f6gkBNxAp\n",
              "xLQifVuc8D+SGqrL4kSy90UfkYrO3t+exRwLiBQEIoWYRCTVnJSt0TM/xZGnMGetrn/tEulM\n",
              "1mQedY5k/us7RzpbIqkQzpHCQKQQ04ikvuYbkmPg1qjdc9FOfXFxicQiFm2ZGmz4G59q1CSS\n",
              "lYHM5rUatfsao3ZBIFKIiUX6htS4mXkdiV3gObtEEhGvajLE1/RoxXB368wMpF0MZuIjriMF\n",
              "gUghJhYpu1bzVb+9ajMbylGAN85zJDZDgd5ok4rUzIYsKJKVAf+XzWzgk2cxsyEMRAoxtUgp\n",
              "+CbJxO0v7XMvYAKRQqxBJP/s7zZg9ncDECnEKkRy3o/UEtyP1ARECrEKkbJv3vRO4g06dg1A\n",
              "pBDrEAmMAEQKES3S4XSl6+nAwlrQCURaIxApRKxIxyu/enMswvyCzLM/MkRaIxApRKxIT3Qq\n",
              "/j3R037/kq53+7srvfRGhkhrBCKFiBWJSP050X0RekWP/sipviaYERApRKxIVyHSdb8/U9m/\n",
              "u6OzNzJEWiMQKUSsSI+ia/doNE4eYkV6+0ee//GeBXOOFunj5/zzx7dWUNsiq23n3AKkAiKF\n",
              "iB61e2B3wD3sfSKRzossexH4v/ya5d//xyR4X4TfKyFknP/DPn8qw3+x4P8tl39mwf9Vaenb\n",
              "iWjlcrFxqAz4v+3/xWFNnGYp0kBlzZvqoPh/fJHYI3rYeVGyFulj/kf5z59F8D37V+PX/PP7\n",
              "7P3n/FcjqG3B0bZzbwGSgRYpRKxID2XX7vBEDwlF+pyXnS/WL/st/92M8jH/UPz733KxFtS2\n",
              "4GjbubcAyYBIIWJFeqbyAuyhvHp0TXaOxMg/Z6UQv5lR/sx/ykSDowW1LTjadqEtQAIgUogO\n",
              "w9981O6YaNTuI1Phz/zDH/nnj1UU0eqUf7SgtgVH2y6wBUgBRArRbvj7UA5/P7LrSPdsGM9N\n",
              "vEj/zXNmwZ98zOAvFcWrhdyCo20HkQYGIoWIFelE5eS6U2lPypkNv/35mZ3J5Pl/s+yt1tZ4\n",
              "tZBbyGhqO4g0MBApRPSonXjiQRl8roJuWp0j/VHZ8zb/JIMhLf6wT6jYdhBpYCBSiPjbKNiU\n",
              "bxY6VEE3rUR6q40dVFX/c+XCZ1sLfYvMFa22BUgARAoxg/uRtPpeBfnA20/VGNxP2hhczZBy\n",
              "QXAL0B+IFGJKkfhVoZ/KfpkMqqr/O7sU9KEcWNCC2hYcbTv3FiAZECnElCKxeQpv/yzPeD6W\n",
              "lf4tv5DKCMxs4FtwtO0ws2FgIFKISbt2n9XY9Vse1C4IfarGw7VgtQWPpm/n3gKkAiKFmPYc\n",
              "6ePn/BNvXd5WQS7SWzaBO7OCmSualoRjC5AIiBRiBoMNNSIH2zAmNy4QKcQMRfrvH1G7IDIa\n",
              "SAVECjFDkSIHrTG2PTIQKcRUItFwOxEMA0QKMZlIeGzD0oBIISASiAQihYBIIBKIFAIigUgg\n",
              "UogZiIRxh2UAkULMQSQ0TosAIoWASCASiBQCIoFIIFIIiAQigUghJhRJ7kaItAwgUgiItA5G\n",
              "GPocX6TuXwoigW7Qbo0ida4ZEAl0AyJ12xIijcCSrhRDpG5bQqQRGKFyJmOhIoV/qyBS89eE\n",
              "SGlZqkjBYw+Rmr/mvERy/zBCJDMLiBQAIvmLAJHMLJYiEjWlq8dNVechkr8IEMnMYjEitbhL\n",
              "ByIlBSLFZAGRAkAkfxEgkpkFRAoAkfxFgEhmFhApQLxId09ET0cWZO9HOvijQqTRgUjGZjMW\n",
              "6Z5dPbuW+vCX9z3740Kk0SnKOvREDIgUIlqk6/Vufzgne4csREpLKdLAxZ2hSJ7rf3MW6RV7\n",
              "iTl7q/mJvdX8FT16I0OkQFbDfNmNiuT8yrMW6YnuZPBM5ZnSHZ29kSFSICuIpKW4PZGeaf94\n",
              "pafyFIl45uQvQ2uRpp5mDZFishhHJK0yrFEkojMbbNj7RCKdF1n2IvC/FIl/5iKF4g/+f1EE\n",
              "x3J2mFLnRQOkycta/DfofiLXPuq5L8od7z8WpQ7h47ZzHrfcla5nv40vUjnY8FSeGKFF6pUV\n",
              "WiQtRVeL1OKxOItskcpzpGM56A2RemUFkbQUtyiS+nOFSH2ygkhaitsT6VzZw0ftjilH7SBS\n",
              "72QXJxI/mx5SpJhqNbpIj+zi0ZEuMnjPLiy5gUiBrCCSSG43uEgRO2R0kYqzo0M52PBqkJkN\n",
              "EKl3shBJT2G+IhXtUMmlDD5XQTcQKZAVRBLJbVSk/f2Frrw3d2CzvwNRIVIgK4gkktuqSC1Y\n",
              "k0ipywaRZHIQqZFViZS4ekIkmRxEagQiBbKCSCI5iNQIRApkBZFEchCpkRYi8Z0JkXonC5H0\n",
              "FDYoUg6RkiQLkfQUINI0uI4nEUQys4BIASCSKFBt0Q4iWVlEJR99LEcRqbE0ECkpECkmiziR\n",
              "ouddjyJS0z6BSEmBSDFZQKQAEEkUqLYIItlZQKQAk4okxr4hUoJkIZKewtZEyi2RpjIKIsVk\n",
              "MbhI7PBDpIruIk30bFOIFJPF8CLlEMkAIgWygkgiIkRqBCIFsoJIIiJEagQiBbJahEiuk1WI\n",
              "FGIZIg09CLFlkXwvdIiLGLWlO+IwIqlqBZHcGzQk2Q+IZC9crkg5RIJIPZKFSGobiASRuicL\n",
              "kdQ2GxFJm84AkdIluwyRtJPdRCLZp88bEmkHkdKzFJF2DSIZi6JEyiESREqY7FpE2vGaEZFW\n",
              "tl2R+FwqiDQAyxFJO9ZekXYukRzXQDYr0g4iQaTOIjlGFiASRErLukXit65BJO17QySIpAUh\n",
              "UhCIFMgKImnBpCLJ25kgEkTqnixEUpehIBJE6p5sD5Fcw2GzF0kbATayhkgqgmtDiNSUbB+R\n",
              "nBNtHBGjkhtLpN2CRXopsmUvGjv44y1eJGK1SxU3ZeWHSMlE4gepSaTw0ZtEpMOVZ3thvYFn\n",
              "f8Tli7QzREqZ+6pFqqlRi9BCJG2tFMmcqpfHiRQuUD99KtqIdCaWbfeXMQ8vkr6nW1RZiGQv\n",
              "zOu/5DEi5UOJZDY//NNSRXpFXKQT3bNPj96YE4okK0DTT2M4fYiU15f2E4mqVkUsaCeSIYUW\n",
              "cXkiHenCRTrTsfj3js7eqN1EIuchrXZRDOpIQqToLUcSKU8lkqg4lkgysfmLdKEjF4n/K/+4\n",
              "6CiSODf0HoUIIFL7LZOLFDiESUTaOUXKFyLSI73ah0QinRdZ9sLxf7mDXnhEevGCf+9yH9a2\n",
              "LaK40qv/z5MrwkTR2zjSd4gUnVbD/5QwLe1/Xtwu2wqR6vtxZ+0/at6f8mi6vncujzFV+5gd\n",
              "JCOOEqnMj28jy8iPxIsXdZHktoZILzJtG/9+G1sk1pMbo0Vy/qw2/KpoIwybbJG00fpOGzuu\n",
              "dM62RZKDDkttkZ6vh2lEksc1fPj0Q7FBkfKUIuUDiCQPR3+R8mWL9MRG6rg713FFknvHfxy9\n",
              "IkWPgEMkI7HhRRINy/ZEqk5/5KjdMf2oXV0kfSjGX038IrUYo7ALCpEGFWkHkfaPrHW6p5M/\n",
              "tq/UsSLJY6G6xe1E4shgYDc6UlD5blKk0C8XRArRaq7dsDMbdJHyTiKpFHekBQO7sZZCVdCN\n",
              "ipRbImnFXZhI2jahEvf0R9FBpP0z+8G/BOL5Sg2RIBKnSSTZqdDK2FKkfP4iHdjs71A8X6ln\n",
              "LJJx+CHSoCLtIkTarVmkWBYpUg6RtHNMiNQSiKQfBeuwrUkk76jL8kUiyiDSiCIFapIlUr5G\n",
              "kXxrNyBSoOQQydz/2uFyiCTS99WkHCLpKU0kkso1vUiB47dmkbQ9mEoku064jr5TJGruHLRk\n",
              "xiJVO20SkXKIZNNTJLlLSO2ocURSs8AGFynU2eiSZiKR8q4iye8zuUhanYJISqRdvEiy89ZL\n",
              "pHw8kboNsHnTrOqeP06TSMbhaCtS7hVJOzKZTySSE84hkskEIuUQqa9I+TAi7SJE2kEkJwGR\n",
              "VHfNEknt31iRtMMFkeYqEhnNXQaRWtJFpF0rkUj/DJEGEomIIkTSanxNpLxZJClbH5Gqww2R\n",
              "YkVS3cCdOsqLFilU+aPTHEqkXHcpvP+0YEuRdglEctQpiGQtskXaVSLlaxApQeLDirSbUiSS\n",
              "YxUQyTyYEGkLIul9hZ4i5RDJeTAnEEnVlK2L5F7bQSQzJZdIOURKwbxE2kGkLLFIu7pI9tCZ\n",
              "VrBMHhmqdilEimE8kai6lJdBpDmJpI6MJpK2SyFSDCOKlLcRyV2V1i4Sqcvdo4q0UyJxIFJ7\n",
              "BhKJ/8j1EWnncknf9bI62CKFfuvbMYFIO9Wpcheoj0jVjg6IZCgDkeIZSqRdApHqg1fWrmdb\n",
              "1kRiWaewaRqRAh2/niJVxyuDSKlZtEg7v0hx8xHCui1ZJJkCRKoDkaYUiRczJtFwjp1FYnKQ\n",
              "bId9IlF1VVSmqCcOkfbbEUnVGHvK3vAimRXYFEmWvB89RDKOiFekXO0/uZWeQF5FgEhJmaNI\n",
              "1RE0C9ROJHdVtb6lKIqRibV2IpFqEeJFyptF2lmbQ6S+rFikiGpfOwvyiaTVlH54RSIxzqnV\n",
              "TCsCREoERJqFSP3GA/W6ZzQ7lC9FJO14QSTFAkSiqkKvSySjjMsRKa+OF0RSLEGk2q2Z04lk\n",
              "NCJdcIskxUkqElUXxTNZwSHSHiLNQqRdd5GIyCvSbgiRdlrLBJEqFiaS/FWcVKSGaj+uSPn4\n",
              "IuWq+KOIpPKBSO7D1l0kI+JYIlWV1HVgjGcb6D/aU4mkFXcokRxrBxHJyBoi1Q5bIpFkMnbN\n",
              "DIkkq9RQIlXCZi1E6qJTH5FE9E4iiThBkczjBpEED890PR1YkL0f6eCPOm+RiFSVSiyS8qGj\n",
              "SB0uKblF4jSKZG7TTiT3WntziFTjxI7NtdTnwoLP/rgzF6mqUqlFcs7pm0Iko7gQaUYi3dFT\n",
              "4dADPfV8h+yMROILhhOJ2SEzyeS5E0TatkhnnmP58ssTe6v5K3r0Rl6ISLuBRarykXWeFTe1\n",
              "SLXdA5FmLJJUhEqnjvuyiTr7Yy1IJPeuD4hkV8eQSHJbh0icDiJR7RE+QZHsb60lA5EmE+lQ\n",
              "vsucqsbJw7pFqh8Y5kRbkYwyRotka9wsUm5+a/1YQKSpRHooe3VukUjnRZa9cPw/qEic0USq\n",
              "fS/+t/jsEInFq0R64RCpSMdMl8i1D9k2+ue2Iull3pJIrvpY7r9JRDpez/vZtkh6cHCRiOyT\n",
              "jeQtkvfGcLRIXUSaU4t0uF6YJhBJyTG0SGTrZMpAzt0TFIkDkaYU6cIvHV0hEilljGfG8VgO\n",
              "kUi7pV2LECGS43QsV4ZZ9TZOJMe+gEj9iRfp+Hw5sgAftTvObdRuCpHEMdJFcnyZHa/8ta8a\n",
              "JxJZj3xQWUKkRYp0TxcRemTXke7p5I27SZGqCD1EktYQVYvsx7VApCWLdFQezXVmw9gi8S01\n",
              "kcza1VYkVaZqT0GkFYr0JI51mfEzC1z8kbchUt5KJKp/VbO4Mq66VtokEhnfGiItQyTpUZnx\n",
              "gc3+DkWGSDWRat8rINLOIxI/AjLLWr2FSAsQqRUQKYlIqphq/8mvSPUdAJEgEkTyiJSrRZnj\n",
              "ohFEgkhrEkmsGFakKgJEgkgrFSk3Eh9IJK3SQCSIBJGaRaL6WogEkSBSW5FqBYNIEAkiQSSI\n",
              "1B2IBJEgUgIgUlqRzIoNkSASRIJIECkeiASRIFICIBJEgkgJgEgQCSIlACJBJIiUAIgEkSBS\n",
              "AsjHfwCYAG+FDDzBpyWDiOTlP/v9C/4P/8/+6w3+JzZibdF/YiPaQTvLNlnHFde11lncmKz/\n",
              "06qMtcQjNq8t8m0TmXXTkfGmGNi77mT+M0LVhkjBmtm+ekCk2KwhUncgUlOKEKk5RYgEkRpT\n",
              "hEjNKUIkiNSYIkRqThEiQaTGFCFSc4oQCSI1pgiRmlOESBCpMUWI1JwiRIJIjSlCpOYUIRJE\n",
              "akwRIjWnCJEgUmOKEKk5RYgEkRpThEjNKUIkANYKRAIgARAJgARAJAASAJEASABEAiABEAmA\n",
              "BEAkABIAkQBIAEQCIAEQCYAEQCQAEgCRAEgARAIgARAJgARAJAASAJEASABEAiABEAmABEAk\n",
              "ABIAkQBIAEQCIAEQCYAEQCQAEgCRAEgARAIgARAJgARAJAASAJEASABEAiABEAmABEAkABIA\n",
              "kQBIAEQCIAEQCYAEQCQAEgCRAEgARAIgARAJgARAJAASAJEASEAvkYgaIhyeiJ7uePh0pevp\n",
              "oK18eFYLjHUPItVDbYtOXM8PRxY4PpyvTZGdBRm3vKzM1FjS+RS2qAb3MrCMAg/BsCJdqYSZ\n",
              "dGHB52rdiS24Hux1dyLVI9/4euxTQlZIemKBQuqm8joLMnJ5C+5J1c35F7bcw1cZWEaBh2BQ\n",
              "kU5lFT7RuQi+pOvd/u5KL+W6O3o6lL83T9a64i9P9YlOMoleFMeEH+frc1N53QUZubw8qeZk\n",
              "5lJY9lP1KALLKPAQDCrSlQ4y1on9xL4Se7zgTCoJfd0DXahaE5FHRCFPrE28K/42iu8qyMjl\n",
              "LdO4FruuKdJcCst+qujYnNx8CjwECUS6PxdN7ol/Pp7p+mjHKhuEM9vVd6x1spPQ1xU/PGJn\n",
              "iaoUdbYQLuQ9PezLg/LKLO9BdB8OqsPpLsjI5S0r0amoTq9kdvLf4iRBL9NMCsuyEceVJ16c\n",
              "7Tw/VLv1mQ5zK/AQ9BfpkXVeWctbVFBS7bzkxKqx5xflQBdz3Z36+Cgac9vL9oU8sINSHCCr\n",
              "vGfefaiaSXdBRi5veZLwsujgXKoSsX/ZqcNTVaaZFJan/cR2ZVXOMucLM+LIv8isCjwE/UWi\n",
              "8rfzlQheDsUvvzaiUK44qaj1vfdQtuPWOvn3obTy+tCngCK5Z1a4q13ee97jfqJjFdVVkHHL\n",
              "W1Sn8mdX6xbveWH5qYNTpOkKK9LkzU+Z+CtRzlfiB+pRDZvMp8BDkOocSdTRl3trDz2cr2x/\n",
              "ukU6Xs/1dfIvbzp6/wQVyZ3YT/xTrby811GJ33ioxygv69ntRd+uEunMKuR9C5FGKaxM86Hs\n",
              "d+jlvIgd+zzDAg9BCpGO948XIZK2VPEk93Ft3eGq9V/sXfdQ1qcD27gXRXLlb+NjUTHt8j6U\n",
              "B+ZldXSaDvUo5S2qXvlzdKd+4/m/tR04j8KqNMsfJaucZVN/5B2SeRV4CBKIxDvFfpFYV+Vq\n",
              "1wO2JW8Lrs5dx5uLg9FR7FjIsp9e9tjt8rKSPaqenacgI5f3SJJjUKRZFLZKU7b4WjnLn6hT\n",
              "dcFjPgUegq4inZU4T/T8cH8MiCRafH7mqY3aHZ8vR5GWsc6sMo6udDvKBIoTjtIZu7xsqPW5\n",
              "Ojbugoxc3kcl0mNQpFkUVkvlTHd2Oa/P5X/zK/AQdBWJyl+Iyh63SPyE+Vj+jDyKrrNq6Hk3\n",
              "mmGtE9vzX6ZDguFvdYXTLm/Rf7rcaf1ud0FGLq+4JsN3m/ixJ8c50iwKq6VZlFcvZ+nBiR7m\n",
              "tncHo3uLdCq+Mj85fLm/c58jsdp7OJcd29rMhmpY1F4ntj9RObPqpKnXjTK5V8TG6kQhVXnL\n",
              "Wnutenaegoxb3upS24XuivI97A+ssLVROxqwNAAAAUFJREFUuzkU1kjzkfiulqN2vJdazY6b\n",
              "T4GHoKtIL1nno/yyJ9EReeno2l3lNYWyyqog40l2YGrr5PYXa4uOlMkdtTMOrbzsF17vdbsL\n",
              "Mmp5T2q4uPxRfiiTPLMcLlX+symsmeZVK+dFFFHPYTYFHoLOgw33z/TMfzSKnXB5ydry+jnS\n",
              "6cqucu/l7N1qDWm7zlyntre26AjvrbM+AU+5Km/ZVzBGVD0FGbO816sRfLyqYfsi+ctLrUwz\n",
              "KKyZpuh3PqhjXjRP+tzb2RR4CDZ+P9I90WznEzuZ8W/yttm4SJf5XpiwYCd5h/N8TxI2zqZF\n",
              "mnWn20KMis921GrrbFqka20y+ox5KE63n9EezZVNiwRAKiASAAmASAAkACIBkACIBEACIBIA\n",
              "CYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZCA/w/ybCiyMKJuewAAAABJRU5ErkJggg=="
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 10,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "addEMA(n=20,on=1,col = \"blue\")"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Plot with title \"[2018-01-30/2018-12-31]\""
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAvVBMVEUAAP8A/wAiIiIlJSUw\n",
              "MDA9PT0/Pz9DQ0NERERHR0dISEhLS0tMTExOTk5PT09RUVFSUlJUVFRVVVVXV1dZWVlaWlpb\n",
              "W1tcXFxeXl5gYGBiYmJjY2NkZGRmZmZqampwcHB1dXV6enp+VCJ+fn6Dg4OHh4eLi4uOjo6P\n",
              "XSGSkpKVlZWZmZmdZCCiaSqpax+qqqq0cR69dhzGexvPfxnXgxjehxblixTsjxLtkBfykg/z\n",
              "kxP5lQv5lg7/AAD/mQDBy2R4AAAACXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2dDZvb\n",
              "NMKuk7ghDGVohwnTJBst73aBdqEHulDg9MyJ///Peq1PS7Iky7b8/dwXTBVblhVZdyTLsr3Z\n",
              "AQA6sxk7AwAsAYgEQAIgEgAJgEgAJAAiAZAAiARAAiASAAmASAAkACIBkACIBEACIBIACYBI\n",
              "ACQAIgGQAIgEQAIgEgAJgEgAJKBHkY6EkKN3ARFcT/fyc39ZAQ5+YRSBNz/8/MsvP33Pl74u\n",
              "Pvz8w2sV6ycWhfJ9EVTRJP7oku/f/fLLf/7liv66WNFx90YMIyHn7svo6sunokeRmCfeBaTk\n",
              "KD73lxXgQNal73nglx/owjc/s/DPb0Sk71V1+1GPJvFHl/zAt3rniP49S6zL7o0Y37tiGLvX\n",
              "os9IpFdMkle+BZpI5OUOIg2PqEuvf5HQ3+3/iPB/eJzvVXX7lxFN4o0ukbWbV28zelHJ/6fb\n",
              "7vUYr10xzN1r0Wck0rloagg5+xZIce6vhDztINLwiIr07+L3+h+71z+y2vvPojX4x+4fRbvw\n",
              "z2LVm5/K6lZU8R9fy2gSf3RJEf+n17v/KeJVou+KTtebTrs3YhgJOXdvZXAmIh2K05/dhZCD\n",
              "Z4ES546HINLQiIr0TlRr9pE1Ejta837gi97J6mb/y/BHVzF++vm12sqMvmPVu8vujRhGQs7d\n",
              "WxmciUhF4/O4e9RGF6wFpTgQaRxERfrpJ62KFj/Z/yjCb4ofcrboJ1XdflY1+ecyCX90k0KQ\n",
              "HyvR/8kWdtm9EcNIyLl7K4MzEanose13e9oKuRfoLdJ1B5GGx6xI/2SV1/zhf/d9ueTfqm/1\n",
              "r2oS1eg6tEOlNwzi33/rSbXavWuPPCHn7q3o8xDpnp8NnQi5dy/AOdLYmBWpOAn53q7JRuid\n",
              "OG3/yZFEuHbSmvx9Nbpofjrs3rXH/4h9OXYfkdX29CWSEKbQ5+ReoI/a3e0g0vAYFekdHyIO\n",
              "mcGr8jtXEuHaqQQwo+tR2+3escd31SimfzMTSXXhWIfOtUDz6F587icrwINVkR2dLyOkj0yL\n",
              "YCC6jEEpumTvWJfMiP4PrXa33H3la+gJVXfvSzoJPYn0oHny4FwgP5yPzCuINDhlRXpDr/6/\n",
              "0ZdVq9sP6iTlh6Yi7eQkBiP6v1Tlbr17K66ZUHX3nqTT0JNIF82bi3OBLQ5EGhpVkV7/rPpD\n",
              "P9FLO0ZrIWMZw2aynvqjyxg//PRzudyI/pMYru6we/Nr6Ak5d+8NpaAfkV7qZ0B04kJlAUQa\n",
              "HVWR3pXTaqwrPbtqI2FUP390yTt+ov+GCWBE/7n77q0l76oTiIzdW9HnINKxnAr0wK4cVRZA\n",
              "pNGRFelHcyqaPvdAi1Wco7zjfSvtZN4fXfJvFuPNOzmtTkV/IxPqsHtzj4515u6tDM5BJCJG\n",
              "FHZslIE4FrhEUvSSJ2AhKtI/flHsKpPdyuoWNdfOUTt/lpu9NqMXrc6/O+9ej2Em5Ny9mcEZ\n",
              "iPSKXxrinIrGqLIAIo2PqEg/GhXQnn5dVjcxjzo8+7taO0UMfiVHi/6jWNRp93oMMyHn7s0M\n",
              "zkCks7oMu+NXYisLINL4iIr0s1kB7RuCyur2zx8dt/v4oztjlB/+IxqJbrvXYlgJ1WdwBiKB\n",
              "OZC2Is0PiASSAJEgEkhAtRu0IpJ/eYi0WiASRAIJgEgQCYCJAZEASABEAiABEAmABEAkABIA\n",
              "kQBIAEQCIAEQCYAEQCQAEtCLSASAmZCqzvcjUgbALIBIACQAIgGQAIgEQAIgEgAJgEgAJAAi\n",
              "AZAAiARAAiASAAmASAAkACIBkACIBEACIBIACYBIACQAIgGQAIgEQAIgEgAJWIZIeR5e/9H8\n",
              "+HsuN2OUoTIde8GvIvDpOX/+9NYftJIB0cz8R3MVIn02V38Q0T9URXouUzQWvH3mm/zNFn72\n",
              "Bj9ApLZAJM6URTJXf3hWIv1lxvuY/+pZ8Bff5Nf8+QPd/ldfsJIkiAUicWYj0u/53+Lz7/kf\n",
              "RrS3z5YFasF/RSPzKf/IPv3hC9pJgmggEmcqIn0sGo/nTzxYGPP3R9FNK+N+ypRIvxup/JW/\n",
              "zZwL3kv3/srfZ6LZcQftJEE0EIkzEZH+4Oco1KTfefB3S6QPKvpf+cc/pXR0Rf4pM1AL/s7f\n",
              "803EhvQfd9BKEsQDkTgTESnP/8t6YkXwOf9Ag5+rPT8lEuNvsdTbIP1RpBktkpEkiIfM26Wl\n",
              "iaR9zvOPodVCurefRG/sQ/6nGUsuYH22SJHMJEE8hBCIRJmMSO8//sHPaD7l+V8fPtirK5/f\n",
              "8iFsMWSgIRd8fn4bLZKZJIiHbCESYyoi/V1eyPnjmV4Iel8jkvz0bI/8iQV/Mp94pOdSGXfQ\n",
              "uQMQAUQSTESkP/PPv398Lz9//PQ5cI5kfKpcAZIL1ByHXI7PvS+H6uygcwcgAogkmIhILPTe\n",
              "ahw8Ij2zwQQhQGXgWi7QRfqDtU4f6WieO2gkCRoAkQSTEenX7AM/R/rMB/BYi/TeFf0Trfpv\n",
              "xanQX/kHM01zQeTMBiNJ0ACIJBhZJNlmfBKhX/l0BB76rE2i49HZP2+f1TUnGuetufazMRqu\n",
              "FqrRbWfQSBI0ACIJJiJScZKU//3rR9a3YjMb6GS5Xz87RSqajufilMpc5hiE0z69ZfO8a4Kf\n",
              "MfjdnEIkOgI+W5YhEpg9VKR8xscbIoFJAJEEEAl0ASIJIBLoAHsNK0TaQSTQCTpkB5EoEAkI\n",
              "2hw1iCSBSEDQTqQMIjEgEhA0PmpFYwSRJBAJUNrcnweRNCASoJCs+QQFiKQBkQBvjpr7AJE0\n",
              "IBKASAmASID36yo+1B5FTaTZHnGIBBJBfC0SRGoCRFo7rUUi4gYKQmZ8JwVEAoloL1Iu/Jnz\n",
              "5AaIBBJBxLPpIFInINLaIeJ2cYjUCYi0djSRiLWiZkNiiTTHww6RQCJai6SmFUGkHUQCSiR7\n",
              "6K12+p0l0iyH7iASSIQUKbOvBjUWaTvD4w6RQCLUdNUGIhHtLwtBJIi0dkjphXHcQi9s8Yo0\n",
              "uyMPkUAiSpHMk5yQF/ZyiASRVo8mUg6RWgOR1o46WFWRvONw9m2AEAkirZ6QSL4JC8QaWYBI\n",
              "EGn1mCJpAwgtRJrfpSSIBBKRVKTZzbmDSCARqhHRRaJti98LvlZfAJEg0tope2O6SHlQJLsT\n",
              "x7aESMmZW2mumnYiWRdvIRJEWjsQKQkQae24RCJNRSL1Ik2zUkAkkIgUIrHpERApOdMsM+DE\n",
              "IRKRInkuC1WXU5E2G4iUmGmWGXASEMlT+avLNxRCNhApLdMsM+CA+EXy3kZhL99sWDK3G0RK\n",
              "zDTLDDjwi+S/sa+iEUvmVvy3cYtEXK3YNIBIIAnGpCDSQqQNX3S7sec+bCBSSqZZZqCKOZ4g\n",
              "1dFFchxLW6RbQSYeMrlR6+10p1kpIBJIAR2a0z5FiGQt2hQaZaKHyES6ifU3ppf4l5nW7zdp\n",
              "CUQCKegu0k0slY893mjiEO4SH4qY5h0WEAmkICSSWmZuwf0QbNRS9fzwzWZjJCbWEu6UmdL4\n",
              "QCSQAutuiKpIxBJK9tgEDpHopVmehjr/IjxFU6Vp3AQIkUAKGop0u5mXaTfWlkIkapI+YYjI\n",
              "FHWVpvEYPIgEUmCLJN7wYoikBuGoBoZIG21LQyQ+1WGzsUUq0vDseiwgEkhBRaTcI5Ls0UWK\n",
              "RHiLtFHpqhSVSZMX6eFCrse9HTxeVRAiAUmcSNrotS7SRt8yRiS6cjYiHdlJ3nVvBs8seIFI\n",
              "wCCia1cOYWcZ0UXaGFu6RCpOljZ81Waj5h9JkyYu0h15KsR5IE9G8CW53u3uruQlRAI6ldpM\n",
              "hE6k7NDJcyQpkli3qWxWiiSejkI/bOTMcHWz082z61HwinTiawgxgkdyX4RekUeIBHQcIpFy\n",
              "3vfNGGxQIuX1Iml3YQg15yaSrMrECJ7IYUebqFMlIkRaNS6RcikSrfG6SER/SNfG2iwgEt+Q\n",
              "9/KyTJo0C5H25GwESdk4WUCkFWM/55EvlCLxUyNDpK0UabOxUwqJxLqDOZEb3Xy7HoEakR5Y\n",
              "V64MQiTgICiSaDfKOyuUSOyCqyOxOpEyqdJtLiIdriczCJGAA+KapyNEkmcyUodciZQ5PdJF\n",
              "ynwiiR7hXETaX89WcGiRXoA5QNh/9kKqzAtyo2E63MajaC3SC7LxJpgTliwXSWz5QorE9se2\n",
              "vfGlfXynhhAdux6fL3bwihYJVHA/lYG3SKxB2ojnMbDF4hxps7HPj8xtM6NFKkfT5VMgeHq3\n",
              "GbRIh8v5YAf5qN0Bo3ZAw/2cIFbjpUcZM4ddUWUiBSQS22akIpK8xMsXbcTI+tRFui8H7Mrg\n",
              "Ixt8uCfHSnSItF5qRGLOsEaLuaTPQvWmWBVJmysh9sfTvd2mLdKh9EgLYmYDyDLbGnebQGu8\n",
              "8kgMNhDVtavZgSlSOadIE4mP+RHfg1IGxivSU3nipAV3FxY4V+NDpBVhi+S8tY7egUfUBVcl\n",
              "UtZUJBIWqb55GwSvSNoIhD4YsWezvx3xIdKKINYH53Ei+Y0kEEkb+84yU6SMdxLdo+gDg/uR\n",
              "QHNskdyRqEhqUEGe4WQpRRKnZxCpDog0TeJEuukzF3oV6dbhuyQCIoHmRIlEPSrXaXPBk4uU\n",
              "TaBJgkigMSRGpBsdTjNE2nYTiQREGr9JgkigIcQUyT1kl/GJC6lE0lsziNQciDRBbJFcUog3\n",
              "S+itVaeunetFMZpIEzAJIoFmEEJqReL12hKpHP6un9UTFkle180gUiQQaXqwKdjmZzuKeo53\n",
              "d5FIKRJf4REpG9skiASawUXiR0aevlg4RdI/R4ukdlIj0vhNEkQCzbBEckxXlZXaMeUhvUgi\n",
              "L6M3SRAJNIPfXUdEJ80hkqrTAZHqnnsfLZLcCUQKApGmh7rfOxO1uSKSrNJ+kbwXcVW83EzX\n",
              "EikzROJ7HdkkiASaoT84wSVSWaMdRy/2gNr33FZEsscOIVIQiDQ9KiJZBE/7ow+o1ZpVRdpW\n",
              "RBrXJIgEmmGK5D9Dcm8cvRdLJFInEn+Zc2zy6YFIoBl1IgUrc5MDag+d8399XTv1fK6RgEig\n",
              "GeOKlNmDDdqe6Z/RTIJIoBmaSPaQQFZ7YbR3kUYzCSKBZrC5BEKk6tODau4MSiySo3M3lkkQ\n",
              "CTSDi8SpiJRypo5PJOITadTOHUQCzdAej1Wd6ZPyVlWPSGq+g+taMP0zjkkQCTRDF6lympKy\n",
              "ErcQaUSTIBJohvnARpOkDZJ5s4YddIvEcgCRKkCk6aGLZHFL+hASd4tULvCKNIpJEAk0Q4nk\n",
              "mB2UdkfeD1nmFWm0JgkigWZIkaq1OG2D1FKksUyCSKAJWpeu5wYJIiUEIk2NwPMWEjdITUSy\n",
              "54GPYBJEAg0g1cmiitSPO60XqZwTbucDIplApInhfqUYI3WDFCOSu5c5ikkQCTQg8NQSiJQG\n",
              "iLQG/CIl96hmgmtApFHuloVIoAGzEWlwkyASaIB/yC79q1XqDj5EigciTYx5iDSGSRAJNMAn\n",
              "Ug8e1QORooFIEwMieTOTqs5DpDXguRo7ikcBkUYYt4NIoAkTapBqRBrYJIgEupN+7DsGiBQN\n",
              "RJoF4zRImWeuHWPwvh1EAjEEj8Q4DVLmmf3NgEgGEGkqEPWnykgNEkSKByJNBaLXW4uRGqQ6\n",
              "kYY1CSKBGOYm0uBNEkQCMRj30ZmM5ZFbJBmESDoQaSoQ+q4v97SGCYmkyQ6RdCDS+BDxlzie\n",
              "UMwYyyOXSFv1ar+hTYJIIIwUKfOINJpHukjyehJEcgORRoWPecuR7/mJNKRJEAm4kc9SFX9I\n",
              "5h5sSPrc/GZApGgg0miQ8m2tfKTBM/w9qkgq5BFpQJMgEnBC39qiiUQ8Io3oUY1IAzdJEAk4\n",
              "IJpI5X+uCQTTFmm47EEk4GC+IhGI5AAijQKJFWlUjzwiqYXDvpsZIoEKbpGqjPEgRg2IFA1E\n",
              "GgX52vJ6kcb0KE6kobIIkUAFYo15e0QauUGqE2nYJgkigQqWSL4XuYzcIEGkeCDSGPA51LUi\n",
              "jd0g6SLJfx0iDZRJiARs+CCyPFGa6EhDBpEaAJHGQIqUyfdc+uaqTlykQft2EAnYqOpYI9LI\n",
              "HsWKNEw+IRKw0aqjV6QJNEhukfQIEEkCkcagIlKVKXhUL9KQfTuIBGziRBrdo2iRBskqRAI2\n",
              "ukjeke8JizTKpSSIBGz0U/YJN0gapvcQqQJEGoNakabRIGmY2YVIFSDSGMSINCmPTJFI5aIs\n",
              "RIJIY6Cfsk/0WqwPJlI+RpMEkYDNkkQarEmCSMCmRqQJewSRPECkMZirSMQl0lDZhUjAZu4i\n",
              "EYhkA5HGwDedgTNNj9R89awi/zBjjBAJ2MxSpDwk0gAZhkjAJijSND2SIvGwuQoiQaRxmKlI\n",
              "6twIIlWASGMQEmmiHjGRtm6RhjlJgkjAZoEi9Z9niARsAiJN1SOIFAYijcHSRBqkbweRgI1f\n",
              "pIFf3tUAiBQEIo1BWKRJelQrUu/ZhkjAxivSdBskiBQGIo1BUKRpegSRwkCkMQg9g2sOIlUZ\n",
              "4CQJIgGbST/MzoM+s6HKADmHSMCE+ESacoNkzLWrMq5IDxdyPe5Z8Hh1BSHSAqE/7H6RpuqR\n",
              "9x1OnFFFOrJ3elypM2cWvOzMIERaIvQRQk6RJt0g+R7AJxhTpDvyVDj0QJ52u5fkere7u5KX\n",
              "RhAiLZKgSNP1qF6knjPvFenE1xBC26b7IvSKPBpBiLRIfCJNvEEKizTAr0DdYAMV6UQOO9pE\n",
              "nYwgRFokIZEm7NHURdqTM5dpx//RghYQaRmw1/VVy33qDdLURXqgXTmItCJoc+TxaOYi9Zv9\n",
              "sEiH62kHkVaF/wRp0h5NW6T99axpM4ZIL8DAFCJVF27Y39vAWWlEuKqwL9Br/omOXY/P/HrR\n",
              "tbTnihZp4bhapBk0SFaLNPy81UCLdLicDyzAh+oO5ajdAaN2i8Uh0pDvNG5NhEi9fgO/SPfk\n",
              "LEKP7OLRPTkaQYi0SLwiTduj6Yp0UB5hZsOaqIo0iwZpuiI9aSdOFxZgYmlBiLREqheRZtEg\n",
              "1YnU+0mSVyR9BGLPpnyzxVoQIi2SeTZIZrYdl5T7bpJwPxIwmWeDZImUQyQDiDQ8VpnPxCOI\n",
              "FAQiDc9CRer7JAkiAROzzOfiEUQKApGGZ6YiGUAkC4g0PEaZz9Mjr0g9fhOIBEyqIs3OI6dI\n",
              "PTdJEAmY6GU+U48gkg1EGp6liDTwBHCIBLzM1SO/SP19G4gEfMx0pCHzPXe11yYJIgEfs22Q\n",
              "IJINRBqR+TZIEMkGIo3IfBukgEi9fSGIBNzMuEHyvZuizyYJIoHM+TCrGTdIEMkGIg0EROq8\n",
              "y1R1HiLNmcGnpvVLQKS+vhNEAhlESrDLVHUeIs0Z4rx9Yq4eeV+E2WPfDiKBjL041nxeyNTf\n",
              "4hJGF2mguYMQafVQhYg1YXreHkEkG4g0APyNSBCp4y5T1XmINFeoSHlVpBl7JETiX6giUj/f\n",
              "DCLNhd7KwtEizdwj2VvlYW05RFo5/Jm3fSW+rZwjzV0kPgpZFalHkyDSDCC899VX6i6R5u0R\n",
              "E0n89ECkHUQSVAcDkia+QJEy+r1yiCSBSKqX0lvXjvAXuegiLcEjKZJZbv29EQAiTR0iOim9\n",
              "9ewWLtJ2mCYJIk2d/kUiFZEW4BFE0oFI5QAUMRalS16ek0OkbrtLVechUk8kFsnelg4Isn9L\n",
              "kRbRswuK1MMXhEhTxxapYy/PnjnjEmkJHnlE6q1JgkhTxxKp67VZ28dq124ZDRJE0oFIsrqX\n",
              "Hztem600bFJQNT1tKQ0SRCqBSIZIJMEkB1MkootEFiXSVvw0WCL1ZRJEmjh6P66zSFId+cZ6\n",
              "vaWTIi3DI4hkAJF0kVhNFzc9tDtNIuVdfMRKZnEiEY9IPd2UBJGmjnl6JKbdtWqUSCbtEX+J\n",
              "VsukSAvxiA82mF9RAJHWjuqPNRZJnmJxhUSbZv5cK5ESZ3o8xFetiNSPSRBpRoihgZYiqdbM\n",
              "LRJ3dDENEkTSgUgGmkjNzpG4SFvChxmcIrH2qhApbY7HxCtSL0+kgEgzQopkDLfVbyWnpfJZ\n",
              "3pkukvRxI1lOg6SJ5DpLgkgrRs1GaDRLyLw0SdSYRZnMZsNXkNuCPJIiuX51eriVHiKNQez3\n",
              "snpw5oy76J0ZLVImby0vRdqIFG+3/h4MMQJcJOevDkRaBtF9M6uDb36It1GdI6lEdZHkhOhb\n",
              "sx7j5AmI1INJEGkEXP12b0T9o/7hpqhLRE4CskXKNJFoKksVyfGTA5EWQY1IxiVY94obaz/K\n",
              "D8G9CWWUSLyjJ5ZutMHg9YiUfoo7RBoB3zmwXK1HdKzn4hjVI6SSEkk1TeW6jWqORJyanM8J\n",
              "iFSypOOqISae+rptQZG4RZvNxqoeAZXskT614caawLlIkTxnk6lNgkgj0F4kaRH/u6mu8++z\n",
              "EtxUbrteVnFDpJJlHVmFNYNbnfZn2mcZUYXluIKs/2weQrxKVlFqFq5VpLQmQaQRsN7/YHS9\n",
              "9AulmkjKEVX/+eWhikq+YTyjKPWtlnQN1iAsUuomCSKNgPX+B0skbRxCiaQ00gwQ1WRTnR7n\n",
              "UqkywiDjtvkCs6BWpKTfHSKNgP60bSWQum1VGxyXIokjbjqj5mMGVZIpqdpkxl6uR+XcXs+l\n",
              "67QTCyHSCMhRWaJNciDl3DBtEVeFH3Dbl3Jis32uVG5TipQ7pVuwR+Vr+7xzQFKaBJFGQJu5\n",
              "Ii4pZepWoUyuUq6J1qXqSimSa+1N9hR5lNzRDVzUHNUK9SKlvIsRIo2AJRI94HzwQYpESCmU\n",
              "7NY5ktGH/SrryU2kX8Zdk0ZxIqUrAog0JNoJS3kWxEUilkiiobr5PbKusNoxSM7mz/laraVr\n",
              "FCVSwiYJIg2JdsXIEkmdI+lDD9ponT859a99ClUke9MG0FczyCCJEilZOUCkIakeV69I/EY7\n",
              "EcvzwymVJOVAgkqbj67fbs6RveU3R1mcSOmaJIg0JPZxLe/7Vo9T0EVS1T14uLVZmRvNLTG6\n",
              "Ti/QmpOJ6m+8WAYQqWQdIvHTIznc7RApfLT16c1CGSIeNMrPkTa8CYq8fWkxRImUzCSINCTW\n",
              "cVVtkLw2q9+oRLK4Bsm8T4Awl+hfKZKc4r0agSTloCZEWrpIuSFSZogkLgRltR5pz+YSW9Ob\n",
              "LLYbceVoaWUYjyqVUBHcEpkEkYZEG7VjIdUiycum2u1+N3W7QzhFh0g8XfZ4LfetgesgSqRU\n",
              "TRJEGhKi6rr8LCo60SMwblmkSLpL4iIub+k8z5BfD3EiJWqSINKQyMtDxmczgiT6BEkbooNI\n",
              "BnEiJWqSINKQEPXKVvm5EkEQ6RFEigAirU8kRdzIt3oiEEQKAZGWVgmiRYr0SD6GWBdJzdqT\n",
              "70DqmOcFEC6CNCdJEGlAxKsgtAWeiLEeyRYpK0WSL5sQItVUonVQUwYQaXbYgws1IkUcYemP\n",
              "KRJRXTuQQaQlihRVt7lHjttenSlKP4kSSU0RWlr5pUX+qEGk2dFApCiN7AtQEKkJ6okYKUyC\n",
              "SAMT8ZVu0RoZycn7ASFSJLJFgkjzgmh/g9yiNbJF2kKkJshJJBBpVkSL1OS4OkQipUggSNys\n",
              "4Mi0UtV5iFSDmg5XR6PD6pi4Z06/A37U/OAEJkGkobCmp/pJIlKGfl09ECk1Q+wndrJOs+dx\n",
              "uKaSQ6RIlEgJOncQiZXCEPuIEmnT+tnuYpyBh4f5SnOnnCIMkdIwGZE6PNldPTM+g0WRaHPt\n",
              "O5sEkVgpDLGPCJHo4ewikuPllsAPRErNRETS3ovcIn1cN2qAOfADkdIwyEhxvUidPIJITZCz\n",
              "5iXdTYJI5dzpnndTJ5L1ZuTG6eMCbDzmu6kgUhImIlJHj4ZpVpdCVaSuJkGkiYhUecV48x20\n",
              "33R12CJ1b5Ig0jRE6u4RRGqAQ6SOJkEk/bXIve4HIk2HgUV6EGv3xyu5HvcsrAUN5ivSdgIi\n",
              "JfAIIgWwy6YiUue+XUikO8LXHq5sLvH1UITPLHiBSG32410njyFE6glifXKJ1M2kgEh3VyHS\n",
              "EzkWf4/kabd7Sa53dMVLiNRiP75VSTyCSAHcImWDiPRAzkIk7Z8juS9Cr8gjRGqxH88adQAh\n",
              "Ul8YZaOdFZfXDGjZdzHJL1LRDAmDrkKk6253IrR/d0dOEKnFftwrEnkEkQKYIpVHXDvyHZsk\n",
              "v0h3qil6FF27R6Nxmp1InnsL1Ftce8YnUnn0OooE/MSJ1MWk4Kid9OWBjjZcH3bLFIkQfeJ0\n",
              "b3hE0o4dROoN49jL9/Zmg4v0yIbqHneLFImfevbfKLlFgkeD4BApt0Tq2LeLEemBdu32T+Rh\n",
              "eJFeJISw/+yFhLA/RYk61ibd/daR/kYL33rd/boxjr0UiQbzcjEt/01109g96HhEuhB6AXZP\n",
              "rx5d594iVa7MieeFjNQioUEaBuOh6/4WqUOTFNMiaf/wUbvDLEftJiiSftwgUo8Y8yn54/8q\n",
              "InUzKUYk3gzt6fD3I7uOdM+G8UwmLhKZokjwaChskbJRRDoSOrnuSO2Z7cwGbhFEWilRInUa\n",
              "bogateMT7M40eCmDJtMWSZ4FekTKhEjt91e/ZVUk46BBpD6JFqm1SVEi8SnfLLQvgyYTF0le\n",
              "OuhPpLptwyLBo16JE6lLk7SS+5FiROr0uOwWIqFBGg6HSPYFWUqHJmlFIjnfTaxEIt1u8INI\n",
              "k6Yqknggl3XE2zdJ6xGJX0uwp88bT/ltL1JEY2bHgEfDYf5IhkVqaRJE0kVq3bUzX1buiWN+\n",
              "hEjDIeaAyU8QqTX6mAIPqH91s9r37LZNJYRHAxItUvu+3TpFIkqkzPi3L5HCcxogUt80Eqmd\n",
              "SRDJiNbWpZquXTVdNEhDUhUpg0itiBSpOiQQn34jkdAgDUq8SK1NWrdI1fRbDtx1Egke9Q1E\n",
              "al921td0iuRofooIN0rz9MMimavh0bBUh7+9IrU1aZUiyQuzjnmk1CHC/m2Vvm91QCR4NADm\n",
              "/UjOoAQiBb+mKdLWLVJhUTkLvFEFD4tUmVEBkQaGGN1rYqywaTcCvhaRiC1SllWq/01EIOXH\n",
              "pul71lqD4/BoaIj2N0KkFiatRCRZYGJuqlOkm4igCoJRQmsAACAASURBVDe6jtdlMyASPBqE\n",
              "JiK1a5LWIpL8uuzV36qjp4t0kxG0x9hGVvOGIsGjwfGK5KJVk7RikYgh0k1FyCp2hZOsv/bk\n",
              "FQkeDUQjkVo1SasQqUzGK9KtjGCUc31VJ3VDdnJOiiLVM4pBNBApBfpwpymS8Qh1GcEs59rK\n",
              "ronky64pEjwanmYitTFpFSJtbZHky+ErDVJWvfmvrrrHiERcIsGjoYFI3dBFYkN2rCT12i3q\n",
              "9EagXz4l4QpP9IbNm13d2SRv5wNtgEht0FzY6l7oIpXlRtmIzchmo28QrPLEc6Gvkhe1Dh6N\n",
              "hepr1Fer5iatVyQtAqvUm025GdloGwSHwY2OYAOR4NHw0H599SA5x1whkvbNylCNSNwjfTNS\n",
              "mkTKKO69EP2DPy+mSPBoBLzPkaoet+aXkhYtkjx1qYgkIzhKzS2St+ZHi6SASGMBkVpBlEse\n",
              "kdyFJkQyW6hMH9czdtJYJHg0Gu5nF7rvgGnct1uBSKRepI2xGfNDLquMkGsjC/bTxGNFgkej\n",
              "wM6RKoffK1IzkyCS9dvjFUlNItLTN0TyTxUql8Oj8YBI7YqtFImERdpYm3GRxGJtWz54Z4uk\n",
              "bRpxmzpEGo8mIjXu261BJHNpRSRHefGiZQPiRinL+2dV+k1Fgkcj4hcpQZO0epFuruKSJWtO\n",
              "cuDxZQ+PEDNxOiUiRiR4NBZekZw/gA2bpIWKxLtzUSK5Sqt8WNem8mtFqEqkItKGHqi6kkeD\n",
              "NCYQqUWZbQnRqru2wh4SCIpUxLVbGbr5raoo7wVGiASPRqOZSA1NWrpI9l0Rdgvl9EgNxtFk\n",
              "NvaqYs3NFklOL6opeYg0JjEiaSshUibPIIm4mG2t0z/Ui1QxifbuiNm2lVGCRQ+PRqWhSO7T\n",
              "Z2/iqer8fETScXtkimQVJ3PoZoikRwiV/QYejQl/iXATkRqYtGCRxPM1gyJ5CsoUyZxAxBuj\n",
              "20117TZmIv6yh0cjQ1wTW/wiNWqS1i2Sp0GyRbKmtPKZqjfxqZKEt/A38GhsakSqPGYAIpWD\n",
              "DSGRfOVki2RNYeUD36xRciThSxQejY9LJPmCc1J9r73vh9aVcqo6PzmRMjlq58dbTBWRCO+/\n",
              "yU+ii3dz/2R5koVI4+N6dpoUKXeIFN8krVkkf82uiiSuFG2ZUaq8N0YS8iUWPpHisw96wr76\n",
              "wZb5RWrQJC1apMzx+1MSbiEqIlER6INRMjoTiPAHpWTSHvkqGP6vs/TRIE0AiNS0wOqekEXH\n",
              "2hqKRA3iDZ1wSKK/Tomud5c+GqQJUCdS5YcXItVsWntt1CGS6jFW71c2N3OaBJEmgOu4GSJV\n",
              "7vqMPWwrFal+jkE7keQgXzXxBgNAoDcaixT9+7dakerOWFqKJAY3NvbrM+HRJAiL5HiiA0QK\n",
              "bhoxx6CbSPyGCbkT7wAEGBjncdNEqkaASIG1EZNH1bsxjduOpEjewcByuJ0/Legmh/Pg0XQR\n",
              "43UekSIHW5cqUs18hvoGKRcTs9qKZKoDjyZMUKTYQ7dQkfzDalkKkYKbabtxhsHEEGdHEMn5\n",
              "vfyrou4KSiBS7F1KYGTEu34gkvN7edfEPTchhUix982CcdFFqhJ5krQ6kSKfP5JEpMgnOYBx\n",
              "MUWydVq5SF4ib/cWk+o1kcQoXtZEJPZsoS1EmjZKJPnJWBt5O+acRWqjWfQDsZg6pkikuUhx\n",
              "T7sDo6K/D9V1CBcuUmDCm5/4B8slEili2h8YGe19qJlLpLguTKo6PxuRIi+wyfItRRLlDZEW\n",
              "h/b2OXl2rAGRqjR6Hpa4vJApkbZyTiNEWhphkaJGp1LV+TmI1Oy5cupOr4pI4W3sRRBp+oRE\n",
              "irzwmKrODy9S+EFbLpo9D0sTiXXwINJyWbdI3hrqWd7wuXKVFolApKVSEalx526mIrFGwldD\n",
              "fU1Vw6cm2CKpUbuabexFEGn6uEQqD1vMWO+cRfJOwXZX3aZPH5Elqgbu2ogUsQ0Yn7BIUffd\n",
              "pKrzg4rELfKu9YhUUxSVZKRIOURaOjUixTyaIFWdH1Ykaw5ctVQS0FIks6GESLNAO0hrEynz\n",
              "X9FJKpJsZdyvMnBsYzZKEGkW1IkU8dSpVHV+wSKVzyluJVLjUXowOGsWiQdqSqULyggi/kaL\n",
              "pEXydT/BpKgVqdakeYvk/rWHSKAhVZEqg8J1T+ZNVefHEcn5jHyIBBriEqnZfUkQyV80bUTS\n",
              "3m0m/0Ck6RMhUo1JMxXJdxOWXSpdaCMSHy3PIdLM0EWSrEEk/eJZsFS60EqkTPyWCYFC143B\n",
              "dNAPLBFXAyt1Kzg1BiL5i6adSJkhEi4izQLzOLHTXIdIoSYJIvmLxhy2kdPuIraDSHPDmo7i\n",
              "FinYJC1PpL7mEvgvANsRIdL8MH8zfSKFEkhV50d5HNfgIkVFhEjzI0qkkEmLEynm9rtWtBGp\n",
              "p6yA5MSJFEogVZ2fjEgRN4T3C1FXIiDSbLBF8p1/+xNIVechkspBed/F2FkBsZgikTWKZA+t\n",
              "jS6SdgNTPnZWQCSk8mmNIhkX0yYhknh0OESaCxBJ3rwqS2AiIm0h0qyASNMVKYNI8wEimfeO\n",
              "cJFGvicVIs2d9YqU6yKNPU20fNo+RJonEGkaA85yUh5EmikQaSoiiZl5EGm+QKTxq64SaRK5\n",
              "Aa2ASONXXZWD0cc9QGuqb6UIR09V5ycj0gSqbinS2OMeoDVrF2kKVRciLYCUIj3ItXdPhDwd\n",
              "WPB4JdfjvhoXIpWQSgDMjoQi3RGx9p71mK5UnzMLXiYs0gSASAsgnUh3VynS9Xq325/Icbd7\n",
              "SYpgseIlRAoAkRZAMpEeyFmI9IoqtNuTa9GxI/dsweP0RBIDzh2KLj3Tyg1oQjKRCnuESE/k\n",
              "Ti48EXqmdEdOlegQycG0cgOa0PCRhH6RCnmESBeye7ySJ3qKJJaQ6mYQycG0cgMaQRodv+Co\n",
              "ndLmxAYbdtMTiUxbJDBjmr3aKk4kOtjwRE+MJiaSejSCfOMkRAKpaPYgoTiR6DnSgQ56Dy3S\n",
              "ixoI/Y+LlNPIpHYLAOIoKlYeX52Ijlck9c91Yi1SVrZIOVokkJL0LdKptIeP2h2mMmonvi9E\n",
              "AulJL9Iju3h0IGcZvGcXlqYkEoFIIDHpRSrOjvZ0sOHV5GY2iO9L1JeGSCAVDpECtStGpKId\n",
              "opxp8FIGTcYSiZTPkMsgEkhHDyLt7s/kyntzezb72xF3NJFy9XyEDCKBlCQTqQkQCSwNiARA\n",
              "AiyRgndfL02kjkUHQElFpMAoHkQCwIN1JwVEAqANqxVpEg9sAIuhItJazpEgEkiJLdJqRu0g\n",
              "EkiJKVL4kYkLEwmAdMg6pWrYSkSawkNWwYJQIm1XJlKzx54DEIaIJ2BDJAC6IOatqjcCL1ok\n",
              "ApFAT6xJJH4/Es6RQA+YIgWr15JEwqgdSEspUu3jIiESAD40kere8T1/kTKIBHpiVS0SRAJ9\n",
              "YZwjQSQA2rFKkabxsj6wLNYnUsOXBwAQwwpFyiASSM6qRMogEugJiARAAnSRwhFT1XmIBBYI\n",
              "RAIgAesSSX2Z1uUFgBOIBEACIBIACYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZAAiARAAiAS\n",
              "AAmASAAkACIBkAD2eFWIBEA3IBIACYBIACQAIgGQAIgEQAL4s4ohEgDdYC90gUgAdGOVIgGQ\n",
              "GogEQAKkSLXxUtV5iASWCEQCIAEQCYAkQCQAEgCRAEgARAIgARAJgARAJAASAJEASABhL/qu\n",
              "jZWqzkMksEjY9O+IaKnqPEQCi4Q+/gQiAdARiARAAiASAAmASAAkACIBkACIBEACMPwNQAri\n",
              "KiFEAiABEAmABEAkABIAkQBIAEQCIAEQCYAEQCQAEgCRAEgARAIgARAJgARAJAASAJEASABE\n",
              "AiABEAmABEAkABIAkQBIAEQCIAETFwmAmZCqzqNFAmsGIgGQAIgEQAIgEgAJgEgAJAAiAZAA\n",
              "iARAAiASGJqIF0nOD4gEhmZOIpHYzEIkMDSzEimHSGCiQKQQEAlEApFCQCQQCUQKAZFAJBAp\n",
              "BEQCkUCkEBAJRAKRQkAkEAlECgGRQCQQKcR4In1NLip8Id/oX67xEfvm5CgiYv5fw+mb2igr\n",
              "J71I/am5JpGyK/lahL4kV+PLNS3fL8kXjiJqJtIX5MuGe10bECnEiCI9ku9E6DsV4l+uafme\n",
              "v/OsiJSIZ+LccK9rAyKFGFGkL1Q7dDVbg6bl+9rVIKmUYlP7grxuttu1AZFCjDnYcBZnRl8T\n",
              "1hh8eyGXb9mXU9VfhB7J9ZG2W6LhKiJev9XSuZxFXCNetWun7eDLE4tanF2dCTnzbJwvcpfA\n",
              "BUQKMaZI35A37N83TKgze8wYdcIW6ZGu+Iatp4acVETO10TYYcariKTv4EqDhUnf8oebsQS+\n",
              "ZedsEMkHRAox6vD3lUdk5fmaXL/KvrrS/pUt0vkLWuHZ3yvVrwh9cS7H+b4jX/G4ZjxbJGMH\n",
              "LNKF5uAruoa1RV8R36kWoECkEKOK9B07LXkt2hlqxje0xbBF4g3Fl+LziZ0RfUHUiPeZnyLZ\n",
              "8ez/jR18rSKVo95fEAw3hIBIIUYV6StWdc+sRSFl61Q5R8rMzwJVFlq7Zm3nGAI3kyzOp05f\n",
              "fWUmBNxApBDjzmy4FI3JF0Q/yR9YpOyRni1dv9QTAm4gUohxRfq2OOF/JGqoLosTyS6LLiIV\n",
              "nb3vLmKOBUQKApFCjCKSak5oa3ThpzjyFOak1fWvXSKdiDWZR50jmX9950gnSyQVwjlSGIgU\n",
              "YhyR1Nd8Q+QYuDVqdynaqS/OLpFYxKItU4MN3/GpRnUiWTuQu3mtRu2+xqhdEIgUYmSRviFq\n",
              "3My8jsQu8JxcIomIVzUZ4mvyaMVwd+vMHUi7GMzER1xHCgKRQowsUnYt56t+e9VmNtBRgDfO\n",
              "cyQ2Q4G80SYVqZkNWVAkawf8L5vZwCfPYmZDGIgUYmyRUvBNkonbX9rnXsAEIoVYgkj+2d9N\n",
              "wOzvGiBSiEWI5LwfqSG4H6kOiBRiESJl37zpnMQbdOxqgEghliESGACIFCJapP3xSq7HPQtr\n",
              "QScQaYlApBCxIh2u/OrNoQjzCzIXf2SItEQgUohYkZ7Isfh7JE+73UtyvdvdXclLb2SItEQg\n",
              "UohYkQhR/xzJfRF6RR79kVN9TTAhIFKIWJGuQqTrbncitH93R07eyBBpiUCkELEiPYqu3aPR\n",
              "OHmIFentn3n+5wcWzDlapE/P+fOnt1ZQ2yKrbOfcAqQCIoWIHrV7YHfAPex8IhGdF1n2IvA/\n",
              "/Zr03//PJPhQhD8oIWSc/8s+f6bhv1nw/9Hlzyz4f1Ra+nYiGl0uNg7lAf83/b84rInTpCL1\n",
              "lNe8rg6K/4cXiT2ih50XJWuRPuV/0j9/FcEP7K/Gr/nzh+zDc/6rEdS24GjbubcAyUCLFCJW\n",
              "pAfatds/kYeEIj3ntPPF+mW/53+YUT7lH4u//6WLtaC2BUfbzr0FSAZEChEr0oXQC7B7evXo\n",
              "muwciZE/Z1SI380of+XvM9HgaEFtC462XWgLkACIFKLF8DcftTskGrX7xFT4K//4Z/78qYwi\n",
              "Wh36jxbUtuBo2wW2ACmASCGaDX/v6fD3I7uOdM+G8dzEi/TfPGcW/MXHDP5WUbxayC042nYQ\n",
              "qWcgUohYkY6ETq47UntSzmz4/a9ndiaT5//NsrdaW+PVQm4ho6ntIFLPQKQQ0aN24okHNHgp\n",
              "g24anSP9WdrzNv8sgyEt/rRPqNh2EKlnIFKI+Nso2JRvFtqXQTeNRHqrjR2UVf+5dOHZ1kLf\n",
              "InNFq2wBEgCRQkzgfiStvpdBPvD2vhyDe6+NwVUMoQuCW4DuQKQQY4rErwq9p/0yGVRV/w92\n",
              "KegjHVjQgtoWHG079xYgGRApxJgisXkKb/+iZzyfaKV/yy+kMgIzG/gWHG07zGzoGYgUYtSu\n",
              "3bMau37Lg9oFoc/leLgWLLfg0fTt3FuAVECkEOOeI316zj/z1uVtGeQivWUTuDMrmLmiaUk4\n",
              "tgCJgEghJjDYUCFysA1jcsMCkUJMUKT//hlVBJHRQCogUogJihQ5aI2x7YGBSCHGEon0V4ig\n",
              "HyBSiNFEwmMb5gZECgGRQCQQKQREApFApBAQCUQCkUJMQCSMO8wDiBRiCiKhcZoFECkERAKR\n",
              "QKQQEAlEApFCQCQQCUQKMaJIshgh0jyASCEg0jIYYOhzeJHafymIBNpBtksUqXXNgEigHRCp\n",
              "3ZYQaQDmdKUYIrXbEiINwACVMxkzFSn8WwWR6r8mRErLXEUKHnuIVP81pyWS+4cRIpm7gEgB\n",
              "IJI/CxDJ3MVcRCJ16epxU9V5iOTPAkQydzEbkRrcpQORkgKRYnYBkQJAJH8WIJK5C4gUACL5\n",
              "swCRzF1ApADxIt09EfJ0YEH2fqS9PypEGhyIZGw2YZHu2dWzK9WHv7zv4o8LkQanyGvfEzEg\n",
              "Uohoka7Xu93+lOwdshApLVSknrM7QZE81/+mLNIr9hJz9lbzI3ur+Svy6I0MkQK76ufLrlQk\n",
              "51eetEhP5E4GT4SeKd2RkzcyRArsCiJpKa5PpAvZPV7JEz1FInznxJ+HxiKNPc0aIsXsYhiR\n",
              "tMqwRJEIObHBhp1PJKLzIsteBP6XIvHPXKRQ/N7/L7LgWM4OU+p9kR7S5Hkt/uu1nIirjDqW\n",
              "BS14/7GgOoSP29Z53HJXup5yG14kOtjwRE+M0CJ12hVaJC1FV4vU4LE4s2yR6DnSgQ56Q6RO\n",
              "u4JIWoprFEn9c4VIXXYFkbQU1yfSqbSHj9odUo7aQaTOyc5OJH423adIMdVqcJEe2cWjAznL\n",
              "4D27sOQGIgV2BZFEctveRYookMFFKs6O9nSw4VUvMxsgUudkIZKewnRFKtohypkGL2XQDUQK\n",
              "7AoiieRWKtLu/kyuvDe3Z7O/A1EhUmBXEEkkt1aRGrAkkVLnDSLJ5CBSLYsSKXH1hEgyOYhU\n",
              "C0QK7AoiieQgUi0QKbAriCSSg0i1NBCJFyZE6pwsRNJTWKFIOURKkixE0lOASOPgOp6EQCRz\n",
              "FxApAEQSGaos2kIkaxdRyUcfy0FEqs0NREoKRIrZRZxI0fOuBxGprkwgUlIgUswuIFIAiCQy\n",
              "VFkEkexdQKQAo4okxr4hUoJkIZKewtpEyi2RxjIKIsXsoneR2OGHSCXtRRrp2aYQKWYX/YuU\n",
              "QyQDiBTYFUQSESFSLRApsCuIJCJCpFogUmBXsxDJdbIKkULMQ6S+ByHWLJLvhQ5xEaO2dEfs\n",
              "RyRVrSCSe4OaJLsBkeyF8xUph0gQqUOyEEltA5EgUvtkIZLaZiUiadMZIFK6ZOchknaym0gk\n",
              "+/R5RSJtIVJ65iLStkYkY1GUSDlEgkgJk12KSFteMyLSytYrEp9LBZF6YD4iacfaK9LWJZLj\n",
              "GshqRdpCJIjUWiTHyAJEgkhpWbZI/NY1iKR9b4gEkbQgRAoCkQK7gkhaMKlI8nYmiASR2icL\n",
              "kdRlKIgEkdon20Ek13DY5EXSRoCNXUMkFcG1IUSqS7aLSM6JNo6IUckNJdJ2xiK9FLtlLxrb\n",
              "++PNXiTCapfKbsrKD5GSicQPUp1I4aM3ikj7K9/tmfUGLv6I8xdpa4iUcu+LFqmiRiVCA5G0\n",
              "tVIkc6peHidSOEPd9ClpItKJsN22fxlz/yLpJd2gykIke2Fe/SWPESnvSySz+eGf5irSK8JF\n",
              "OpJ79unRG3NEkWQFqPtpDKcPkfLq0m4ikbJVEQuaiWRIoUWcn0gHcuYincih+HtHTt6o7UQi\n",
              "zkNaFlEM6khCpOgtBxIpTyWSqDiWSDKx6Yt0JgcuEv8r/3HRUiRxbug9ChFApOZbJhcpcAiT\n",
              "iLR1ipTPRKRH8moXEonovMiyF47/aQG98Ij04gX/3rQMK9sWUVzpVf/nyRVhQqK3caTvECk6\n",
              "rZr/ScK0tP95dttsK0SqluPWKj9SX57yaLq+dy6PMSnLmB0kI44Sie6PbyPzyI/EixdVkeS2\n",
              "hkgvMm0bf7kNLRLryQ3RIjl/Vmt+VbQRhlW2SNpofauNHVc6J9siyUGHubZIl+t+HJHkcQ0f\n",
              "Pv1QrFCkPKVIeQ8iycPRXaR83iI9sZE67s51WJFk6fiPo1ek6BFwiGQk1r9IomFZn0jl6Y8c\n",
              "tTukH7WriqQPxfiriV+kBmMUdkYhUq8ibSHS7pG1Tvfk6I/ty3WsSPJYqG5xM5E4MhgoRkcK\n",
              "ar+rFCn0ywWRQjSaa9fvzAZdpLyVSCrFLdGCgWKspFBmdKUi5ZZIWnZnJpK2TSjHHf1RtBBp\n",
              "d2E/+OdAPF+uIRJE4tSJJDsVWh4bipRPX6Q9m/0diufL9YRFMg4/ROpVpG2ESNslixTLLEXK\n",
              "IZJ2jgmRGgKR9KNgHbYlieQddZm/SIRkEGlAkQI1yRIpX6JIvrUrECmQc4hklr92uBwiifR9\n",
              "NSmHSHpKI4mk9ppepMDxW7JIWgmmEsmuE66j7xSJ1HcOGjJhkcpCG0WkHCLZdBRJFglRBTWM\n",
              "SGoWWO8ihTobbdJMJFLeViT5fUYXSatTEEmJtI0XSXbeOomUDydSuwE2b5pl3fPHqRPJOBxN\n",
              "Rcq9ImlHJvOJROSEc4hkMoJIOUTqKlLej0jbCJG2EMlJQCTVXbNEUuUbK5J2uCDSVEUiRnOX\n",
              "QaSGtBFp20gkon+GSD2JRAiJEEmr8RWR8nqRpGxdRCoPN0SKFUl1A7fqKM9apFDlj06zL5Fy\n",
              "3aVw+WnBhiJtE4jkqFMQyVpki7QtRcqXIFKCxPsVaTumSESOVUAk82BCpDWIpPcVOoqUQyTn\n",
              "wRxBJFVT1i6Se20LkcyUXCLlECkF0xJpC5GyxCJtqyLZQ2daxjJ5ZEhZpBAphuFEIuWlvAwi\n",
              "TUkkdWQ0kbQihUgxDChS3kQkd1VaukhEXe4eVKStEokDkZrTk0j8R66LSFuXS3rRy+pgixT6\n",
              "rW/GCCJtVafKnaEuIpUFHRDJUAYixdOXSNsEIlUHr6yiZ1tWRGK7TmHTOCIFOn4dRSqPVwaR\n",
              "UjNrkbZ+keLmI4R1m7NIMgWIVAUijSkSz2ZMouE9thaJyUFkO+wTiZRXRWWKeuIQabcekVSN\n",
              "safs9S+SWYFNkWTOu9FBJOOIeEXKVfnJrfQE8jICRErKFEUqj6CZoWYiuauq9S1FVoydWGtH\n",
              "EqkSIV6kvF6krbU5ROrKgkWKqPaVsyCfSFpN6YZXJCLGObWaaUWASImASJMQqdt4oF73jGaH\n",
              "5HMRSTteEEkxA5FIWaGXJZKRx/mIlJfHCyIp5iBS5dbM8UQyGpE2uEWS4iQViZQXxTNZwSHS\n",
              "DiJNQqRte5EIIV6Rtn2ItNVaJohUMjOR5K/iqCLVVPthRcqHFylX2R9EJLUfiOQ+bO1FMiIO\n",
              "JVJZSV0Hxni2gf6jPZZIWnb7EsmxtheRjF1DpMphSySSTMaumSGRZJXqS6RS2KyBSG106iKS\n",
              "iN5KJBEnKJJ53CCS4OFCrsc9C7L3I+39UactEiGqSiUWSfnQUqQWl5TcInFqRTK3aSaSe629\n",
              "OUSqcGTH5kr1ObPgxR934iKVVSq1SM45fWOIZGQXIk1IpDvyVDj0QJ46vkN2QiLxBf2JxOyQ\n",
              "O8nkuRNEWrdIJ75H+vLLI3ur+Svy6I08E5G2PYtU7kfWeZbd1CJVigciTVgkqQihTh12tIk6\n",
              "+WPNSCR30QdEsqtjSCS5rUMkTguRSOURPkGR7G+tJQORRhNpT99lTsrGycOyRaoeGOZEU5GM\n",
              "PEaLZGtcL1Jufmv9WECksUR6oL06t0hE50WWvXD836tInMFEqnwv/m/x2SESi1eK9MIhUpGO\n",
              "mS4hrjJk2+ifm4qk53lNIrnqIy2/UUQ6XE+7ybZIerB3kQixTzaSt0jeG8PRIrURaUot0v56\n",
              "ZppAJCVH3yIRWydTBuIsnqBIHIg0pkhnfunoCpGIUsZ4ZhyP5RCJaLe0axEiRHKcjuXKMKve\n",
              "xonkKAuI1J14kQ6X84EF+KjdYWqjdmOIJI6RLpLjy2x55a981TiRiPXIB7VLiDRLke7JWYQe\n",
              "2XWke3L0xl2lSGWEDiJJawgpF9mPa4FIcxbpoDya6syGoUXiW2oimbWrqUgqT2VJQaQFivQk\n",
              "jjXd8YUFzv7I6xApbyQSqX5VM7syrrpWWicSMb41RJqHSNIjuuM9m/0digyRKiJVvldApK1H\n",
              "JH4E5C4r9RYizUCkRkCkJCKpbKryk1+RVAsAIkEkiOQRKVeLMsdFI4gEkZYkkljRr0hlBIgE\n",
              "kRYqUm4k3pNIWqWBSBAJItWLRKprIRJEgkhNRapkDCJBJIgEkSBSeyASRIJICYBIaUUyKzZE\n",
              "gkgQCSJBpHggEkSCSAmASBAJIiUAIkEkiJQAiASRIFICIBJEgkgJID5+A2AEvBUy8ASfhvQi\n",
              "kpffdrsX/A//z/7XG/wtNmJl0W+xEe2gvcsmu47LrmutM7sxu/6tUR4riUdsXlnk2yZy13VH\n",
              "xptioHTdyfw2QNWGSMGa2bx6QKTYXUOk9kCkuhQhUn2KEAki1aYIkepThEgQqTZFiFSfIkSC\n",
              "SLUpQqT6FCESRKpNESLVpwiRIFJtihCpPkWIBJFqU4RI9SlCJIhUmyJEqk8RIkGk2hQhUn2K\n",
              "EAki1aYIkepThEgALBWIBEACIBIACYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZAAiARAAiAS\n",
              "AAmASAAkACIBkACIBEACIBIACYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZAAiARAAiASAAmA\n",
              "SAAkACIBkACIBEACIBIACYBIACQAIgGQAIgEQAIgEgAJgEgAJAAiAZAAiARAAiASAAmASAAk\n",
              "ACIBkACIBEACIBIACYBIACQAIgGQgE4iEVITYf9EyNMdDx+v5HrcaysfLmqBse5BpLqvbNGK\n",
              "6+nhwAKHh9O1LrIzI8Pml+WZ1OZ0OpktqsG9DMwjw33Qr0hXQmEmnVnwUq47sgXXvb3uTqR6\n",
              "4BtfD11yyDJJnligkLouv86MDJzfgnui6ub0M0tL+CoD88hwH/Qq0pFW4SM5FcGX5Hq3u7uS\n",
              "l3LdHXna09+bJ2td8S9P9YkcZRKdKI4JP87XKEPGdQAABIpJREFUS11+3RkZOL88qfpkppJZ\n",
              "9lP1KALzyHAf9CrSlexlrCP7iX0lSrzgRFQS+roHciblmoh9RGTyyNrEu+LfWvFdGRk4vzSN\n",
              "a1F0dZGmkln2U0UO9clNJ8N9kECk+1PR5B7558OJXB/tWLRBOLGivmOtk52Evq744RGFJapS\n",
              "1NlCOJP35GFHD8orM7970X3Yqw6nOyMD55dWomNRnV7J3cm/xUmCnqeJZJbtRhxXnnhxtnN5\n",
              "KIv1QvZTy3AfdBfpkXVeWctbVFCi2nnJkVVjzy/KnpzNdXfq46NozG0vm2dyzw5KcYCs/J54\n",
              "96FsJt0ZGTi/9CThZdHBOZc5Yn/ZqcNTmaeJZJan/cSKsswn3fOZGXHgX2RSGe6D7iIR+tv5\n",
              "SgTP++KXXxtRoCuOKmq19B5oO26tk/8+UCuvD10yKJK7sMxd7fze8x73EzmUUV0ZGTa/RXWi\n",
              "P7tat3jHM8tPHZwijZdZkSZvfmjir0Q+X4kfqEc1bDKdDPdBqnMkUUdf7qwSejhdWXm6RTpc\n",
              "T9V18l/edHT+CSqSO7Kf+KdKfnmvoxS/9lAPkV/Ws9uJvl0p0olVyPsGIg2SWZnmA+136Pk8\n",
              "i4K9TDDDfZBCpMP941mIpC1VPMkyrqzbX7X+i110D7Q+7dnGnSiSo7+Nj0XFtPP7QA/My/Lo\n",
              "1B3qQfJbVD36c3SnfuP530oBTiOzKk36o2Tlkzb1B94hmVaG+yCBSLxT7BeJdVWudj1gW/K2\n",
              "4OosOt5c7I2OYstM0n467bHb+WU5e1Q9O09GBs7vgUgOQZEmkdkyTdnia/mkP1HH8oLHdDLc\n",
              "B21FOilxnsjl4f4QEEm0+PzMUxu1O1zOB5GWsc6sMo6udDNoAsUJB3XGzi8bar2Ux8adkYHz\n",
              "+6hEegyKNInMaqmcyJ2dz+uF/je9DPdBW5EI/YUo7XGLxE+YD/Rn5FF0nVVDz7vRDGud2J7/\n",
              "Mu0TDH+rK5x2fov+0/lO63e7MzJwfsU1GV5s4seeOM6RJpFZLc0iv3o+qQdH8jC10u2N9i3S\n",
              "sfjK/OTw5e7OfY7Eau/+RDu2lZkN5bCovU5sfyR0ZtVRU68dNLlXhI3ViUyq/NJaey17dp6M\n",
              "DJvf8lLbmdwV+XvY7VlmK6N2U8iskeYj4UUtR+14L7WcHTedDPdBW5Fess4H/bJH0RF56eja\n",
              "XeU1BVplVZDxJDswlXVy+7O1RUtocgftjEPLL/uF13vd7owMmt+jGi6mP8oPNMkT28O53P9k\n",
              "MmumedXyeRZZ1PcwmQz3QevBhvsLufAfjaIQzi9ZW149Rzpe2VXunZy9W64hWtGZ69T21hYt\n",
              "4b111ifgKZf5pX0FY0TVk5Eh83u9GsHHqxq2L5I/v9TyNIHMmmmKfueDOuZF86TPvZ1Mhvtg\n",
              "5fcj3RMy2fnETib8m7xuVi7SeboXJizYSd7+NN2ThJWzapEm3em2EKPikx21WjurFulamYw+\n",
              "YR6K0+0L2qOpsmqRAEgFRAIgARAJgARAJAASAJEASABEAiABEAmABEAkABIAkQBIAEQCIAEQ\n",
              "CYAEQCQAEvC/pefNBV5VqoUAAAAASUVORK5CYII="
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 11,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Create funciton of Simple Moving Average\n",
        "sma <- function(x,n=5){stats::filter(x,rep(1/n,n), sides=2)}"
      ],
      "outputs": [],
      "execution_count": 12,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sma <- sma(AAPL$AAPL.Adjusted,20)"
      ],
      "outputs": [],
      "execution_count": 13,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sma"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "A Time Series:<br><ol class=list-inline>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>169.7210038</li>\n",
              "\t<li>169.4858941</li>\n",
              "\t<li>169.2692819</li>\n",
              "\t<li>168.65935985</li>\n",
              "\t<li>167.75834895</li>\n",
              "\t<li>167.20732505</li>\n",
              "\t<li>166.487391</li>\n",
              "\t<li>165.5557145</li>\n",
              "\t<li>164.66822135</li>\n",
              "\t<li>164.00053715</li>\n",
              "\t<li>163.4563317</li>\n",
              "\t<li>162.91856695</li>\n",
              "\t<li>162.647696</li>\n",
              "\t<li>162.38839425</li>\n",
              "\t<li>162.17181405</li>\n",
              "\t<li>161.91516505</li>\n",
              "\t<li>161.86567545</li>\n",
              "\t<li>162.1141961</li>\n",
              "\t<li>162.51284495</li>\n",
              "\t<li>163.05594875</li>\n",
              "\t<li>163.63404705</li>\n",
              "\t<li>164.03726205</li>\n",
              "\t<li>164.48257985</li>\n",
              "\t<li>165.31208045</li>\n",
              "\t<li>166.3294442</li>\n",
              "\t<li>166.9483056</li>\n",
              "\t<li>167.83040245</li>\n",
              "\t<li>169.07477045</li>\n",
              "\t<li>170.31180735</li>\n",
              "\t<li>171.15539715</li>\n",
              "\t<li>171.84453895</li>\n",
              "\t<li>172.3958535</li>\n",
              "\t<li>172.641697</li>\n",
              "\t<li>172.78196875</li>\n",
              "\t<li>172.9476571</li>\n",
              "\t<li>172.9574311</li>\n",
              "\t<li>172.779036</li>\n",
              "\t<li>172.2629128</li>\n",
              "\t<li>171.95988545</li>\n",
              "\t<li>171.4686882</li>\n",
              "\t<li>170.89977795</li>\n",
              "\t<li>170.5468971</li>\n",
              "\t<li>170.0811142</li>\n",
              "\t<li>169.66909405</li>\n",
              "\t<li>169.42178415</li>\n",
              "\t<li>169.3127914</li>\n",
              "\t<li>168.8944183</li>\n",
              "\t<li>168.4090858</li>\n",
              "\t<li>167.99511255</li>\n",
              "\t<li>167.62708045</li>\n",
              "\t<li>167.41691735</li>\n",
              "\t<li>167.2253257</li>\n",
              "\t<li>167.1178008</li>\n",
              "\t<li>167.2614951</li>\n",
              "\t<li>167.38857105</li>\n",
              "\t<li>167.4633506</li>\n",
              "\t<li>167.3103698</li>\n",
              "\t<li>167.325032</li>\n",
              "\t<li>166.8445869</li>\n",
              "\t<li>166.61536025</li>\n",
              "\t<li>166.50490265</li>\n",
              "\t<li>166.238044</li>\n",
              "\t<li>166.16864015</li>\n",
              "\t<li>166.20334095</li>\n",
              "\t<li>166.4457627</li>\n",
              "\t<li>166.64566275</li>\n",
              "\t<li>167.40078815</li>\n",
              "\t<li>168.13929445</li>\n",
              "\t<li>168.7648987</li>\n",
              "\t<li>169.49412005</li>\n",
              "\t<li>170.271238</li>\n",
              "\t<li>170.98419575</li>\n",
              "\t<li>171.62228855</li>\n",
              "\t<li>172.05820545</li>\n",
              "\t<li>172.59904175</li>\n",
              "\t<li>173.3278259</li>\n",
              "\t<li>174.3692848</li>\n",
              "\t<li>175.4989677</li>\n",
              "\t<li>176.7180038</li>\n",
              "\t<li>177.9612167</li>\n",
              "\t<li>179.16626505</li>\n",
              "\t<li>180.48527445</li>\n",
              "\t<li>181.62722775</li>\n",
              "\t<li>182.5618736</li>\n",
              "\t<li>183.1005096</li>\n",
              "\t<li>183.7888511</li>\n",
              "\t<li>184.2160087</li>\n",
              "\t<li>184.6507766</li>\n",
              "\t<li>185.0749183</li>\n",
              "\t<li>185.4095199</li>\n",
              "\t<li>185.52678215</li>\n",
              "\t<li>185.65631095</li>\n",
              "\t<li>185.85894385</li>\n",
              "\t<li>186.0679549</li>\n",
              "\t<li>186.1965041</li>\n",
              "\t<li>186.287271</li>\n",
              "\t<li>186.4064963</li>\n",
              "\t<li>186.311312</li>\n",
              "\t<li>186.2789298</li>\n",
              "\t<li>186.13664385</li>\n",
              "\t<li>185.97816685</li>\n",
              "\t<li>185.6636664</li>\n",
              "\t<li>185.4934157</li>\n",
              "\t<li>185.32954315</li>\n",
              "\t<li>185.26232515</li>\n",
              "\t<li>185.0106276</li>\n",
              "\t<li>184.7824782</li>\n",
              "\t<li>184.32176885</li>\n",
              "\t<li>183.90080025</li>\n",
              "\t<li>183.63143835</li>\n",
              "\t<li>183.57648765</li>\n",
              "\t<li>183.5333114</li>\n",
              "\t<li>183.3174316</li>\n",
              "\t<li>183.3336227</li>\n",
              "\t<li>183.3596252</li>\n",
              "\t<li>183.4611885</li>\n",
              "\t<li>183.5941513</li>\n",
              "\t<li>183.82524335</li>\n",
              "\t<li>184.08920745</li>\n",
              "\t<li>184.3826088</li>\n",
              "\t<li>184.7108467</li>\n",
              "\t<li>185.2422096</li>\n",
              "\t<li>185.7519836</li>\n",
              "\t<li>186.2450752</li>\n",
              "\t<li>186.5139457</li>\n",
              "\t<li>186.7494514</li>\n",
              "\t<li>186.9020408</li>\n",
              "\t<li>187.7645835</li>\n",
              "\t<li>188.8434981</li>\n",
              "\t<li>189.82575825</li>\n",
              "\t<li>190.73295045</li>\n",
              "\t<li>191.55526185</li>\n",
              "\t<li>192.5056296</li>\n",
              "\t<li>193.3814208</li>\n",
              "\t<li>194.2119666</li>\n",
              "\t<li>195.12909535</li>\n",
              "\t<li>196.0630576</li>\n",
              "\t<li>197.07266225</li>\n",
              "\t<li>198.16129825</li>\n",
              "\t<li>199.4812682</li>\n",
              "\t<li>200.6885169</li>\n",
              "\t<li>201.8068862</li>\n",
              "\t<li>202.8364524</li>\n",
              "\t<li>203.91761235</li>\n",
              "\t<li>205.19023735</li>\n",
              "\t<li>206.60300055</li>\n",
              "\t<li>208.0837745</li>\n",
              "\t<li>209.176036</li>\n",
              "\t<li>210.0802444</li>\n",
              "\t<li>211.0830276</li>\n",
              "\t<li>212.06876295</li>\n",
              "\t<li>213.07730255</li>\n",
              "\t<li>213.8933548</li>\n",
              "\t<li>214.54080885</li>\n",
              "\t<li>215.0725563</li>\n",
              "\t<li>215.8101112</li>\n",
              "\t<li>216.3674629</li>\n",
              "\t<li>217.16360775</li>\n",
              "\t<li>217.68156965</li>\n",
              "\t<li>217.6963409</li>\n",
              "\t<li>217.8332176</li>\n",
              "\t<li>217.9971733</li>\n",
              "\t<li>218.24236905</li>\n",
              "\t<li>218.3492111</li>\n",
              "\t<li>218.5771728</li>\n",
              "\t<li>218.78642575</li>\n",
              "\t<li>218.8218757</li>\n",
              "\t<li>218.91886975</li>\n",
              "\t<li>218.95382765</li>\n",
              "\t<li>218.93561095</li>\n",
              "\t<li>218.98090895</li>\n",
              "\t<li>219.23693615</li>\n",
              "\t<li>219.4777</li>\n",
              "\t<li>219.6249153</li>\n",
              "\t<li>219.89276045</li>\n",
              "\t<li>220.04145205</li>\n",
              "\t<li>219.8095505</li>\n",
              "\t<li>219.2206879</li>\n",
              "\t<li>219.13551105</li>\n",
              "\t<li>219.10990835</li>\n",
              "\t<li>219.30242085</li>\n",
              "\t<li>219.4412682</li>\n",
              "\t<li>219.2438317</li>\n",
              "\t<li>219.32507025</li>\n",
              "\t<li>219.3181771</li>\n",
              "\t<li>219.344764</li>\n",
              "\t<li>219.08233575</li>\n",
              "\t<li>218.82877205</li>\n",
              "\t<li>218.36398475</li>\n",
              "\t<li>217.62446145</li>\n",
              "\t<li>216.83767095</li>\n",
              "\t<li>216.1872643</li>\n",
              "\t<li>215.90317235</li>\n",
              "\t<li>215.075515</li>\n",
              "\t<li>213.98346105</li>\n",
              "\t<li>212.84611055</li>\n",
              "\t<li>212.5305069</li>\n",
              "\t<li>212.2728783</li>\n",
              "\t<li>211.4394814</li>\n",
              "\t<li>210.3310555</li>\n",
              "\t<li>208.8909386</li>\n",
              "\t<li>207.22980425</li>\n",
              "\t<li>206.05098955</li>\n",
              "\t<li>204.8149338</li>\n",
              "\t<li>203.13394475</li>\n",
              "\t<li>200.9118035</li>\n",
              "\t<li>199.05594335</li>\n",
              "\t<li>196.74633945</li>\n",
              "\t<li>194.7241829</li>\n",
              "\t<li>192.8831482</li>\n",
              "\t<li>191.3209557</li>\n",
              "\t<li>189.4163346</li>\n",
              "\t<li>187.2983559</li>\n",
              "\t<li>186.21442035</li>\n",
              "\t<li>185.01879885</li>\n",
              "\t<li>183.6185097</li>\n",
              "\t<li>181.60613255</li>\n",
              "\t<li>179.68466415</li>\n",
              "\t<li>177.91389005</li>\n",
              "\t<li>176.675238</li>\n",
              "\t<li>175.6238403</li>\n",
              "\t<li>174.57046585</li>\n",
              "\t<li>173.2132347</li>\n",
              "\t<li>171.8564972</li>\n",
              "\t<li>170.6227852</li>\n",
              "\t<li>169.6272194</li>\n",
              "\t<li>168.34014665</li>\n",
              "\t<li>167.08222585</li>\n",
              "\t<li>166.22006005</li>\n",
              "\t<li>165.3262742</li>\n",
              "\t<li>164.10540855</li>\n",
              "\t<li>163.027826</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "\t<li>&lt;NA&gt;</li>\n",
              "</ol>\n"
            ],
            "text/markdown": [
              "A Time Series:  \n",
              "1. &lt;NA&gt;\n",
              "2. &lt;NA&gt;\n",
              "3. &lt;NA&gt;\n",
              "4. &lt;NA&gt;\n",
              "5. &lt;NA&gt;\n",
              "6. &lt;NA&gt;\n",
              "7. &lt;NA&gt;\n",
              "8. &lt;NA&gt;\n",
              "9. &lt;NA&gt;\n",
              "10. 169.7210038\n",
              "11. 169.4858941\n",
              "12. 169.2692819\n",
              "13. 168.65935985\n",
              "14. 167.75834895\n",
              "15. 167.20732505\n",
              "16. 166.487391\n",
              "17. 165.5557145\n",
              "18. 164.66822135\n",
              "19. 164.00053715\n",
              "20. 163.4563317\n",
              "21. 162.91856695\n",
              "22. 162.647696\n",
              "23. 162.38839425\n",
              "24. 162.17181405\n",
              "25. 161.91516505\n",
              "26. 161.86567545\n",
              "27. 162.1141961\n",
              "28. 162.51284495\n",
              "29. 163.05594875\n",
              "30. 163.63404705\n",
              "31. 164.03726205\n",
              "32. 164.48257985\n",
              "33. 165.31208045\n",
              "34. 166.3294442\n",
              "35. 166.9483056\n",
              "36. 167.83040245\n",
              "37. 169.07477045\n",
              "38. 170.31180735\n",
              "39. 171.15539715\n",
              "40. 171.84453895\n",
              "41. 172.3958535\n",
              "42. 172.641697\n",
              "43. 172.78196875\n",
              "44. 172.9476571\n",
              "45. 172.9574311\n",
              "46. 172.779036\n",
              "47. 172.2629128\n",
              "48. 171.95988545\n",
              "49. 171.4686882\n",
              "50. 170.89977795\n",
              "51. 170.5468971\n",
              "52. 170.0811142\n",
              "53. 169.66909405\n",
              "54. 169.42178415\n",
              "55. 169.3127914\n",
              "56. 168.8944183\n",
              "57. 168.4090858\n",
              "58. 167.99511255\n",
              "59. 167.62708045\n",
              "60. 167.41691735\n",
              "61. 167.2253257\n",
              "62. 167.1178008\n",
              "63. 167.2614951\n",
              "64. 167.38857105\n",
              "65. 167.4633506\n",
              "66. 167.3103698\n",
              "67. 167.325032\n",
              "68. 166.8445869\n",
              "69. 166.61536025\n",
              "70. 166.50490265\n",
              "71. 166.238044\n",
              "72. 166.16864015\n",
              "73. 166.20334095\n",
              "74. 166.4457627\n",
              "75. 166.64566275\n",
              "76. 167.40078815\n",
              "77. 168.13929445\n",
              "78. 168.7648987\n",
              "79. 169.49412005\n",
              "80. 170.271238\n",
              "81. 170.98419575\n",
              "82. 171.62228855\n",
              "83. 172.05820545\n",
              "84. 172.59904175\n",
              "85. 173.3278259\n",
              "86. 174.3692848\n",
              "87. 175.4989677\n",
              "88. 176.7180038\n",
              "89. 177.9612167\n",
              "90. 179.16626505\n",
              "91. 180.48527445\n",
              "92. 181.62722775\n",
              "93. 182.5618736\n",
              "94. 183.1005096\n",
              "95. 183.7888511\n",
              "96. 184.2160087\n",
              "97. 184.6507766\n",
              "98. 185.0749183\n",
              "99. 185.4095199\n",
              "100. 185.52678215\n",
              "101. 185.65631095\n",
              "102. 185.85894385\n",
              "103. 186.0679549\n",
              "104. 186.1965041\n",
              "105. 186.287271\n",
              "106. 186.4064963\n",
              "107. 186.311312\n",
              "108. 186.2789298\n",
              "109. 186.13664385\n",
              "110. 185.97816685\n",
              "111. 185.6636664\n",
              "112. 185.4934157\n",
              "113. 185.32954315\n",
              "114. 185.26232515\n",
              "115. 185.0106276\n",
              "116. 184.7824782\n",
              "117. 184.32176885\n",
              "118. 183.90080025\n",
              "119. 183.63143835\n",
              "120. 183.57648765\n",
              "121. 183.5333114\n",
              "122. 183.3174316\n",
              "123. 183.3336227\n",
              "124. 183.3596252\n",
              "125. 183.4611885\n",
              "126. 183.5941513\n",
              "127. 183.82524335\n",
              "128. 184.08920745\n",
              "129. 184.3826088\n",
              "130. 184.7108467\n",
              "131. 185.2422096\n",
              "132. 185.7519836\n",
              "133. 186.2450752\n",
              "134. 186.5139457\n",
              "135. 186.7494514\n",
              "136. 186.9020408\n",
              "137. 187.7645835\n",
              "138. 188.8434981\n",
              "139. 189.82575825\n",
              "140. 190.73295045\n",
              "141. 191.55526185\n",
              "142. 192.5056296\n",
              "143. 193.3814208\n",
              "144. 194.2119666\n",
              "145. 195.12909535\n",
              "146. 196.0630576\n",
              "147. 197.07266225\n",
              "148. 198.16129825\n",
              "149. 199.4812682\n",
              "150. 200.6885169\n",
              "151. 201.8068862\n",
              "152. 202.8364524\n",
              "153. 203.91761235\n",
              "154. 205.19023735\n",
              "155. 206.60300055\n",
              "156. 208.0837745\n",
              "157. 209.176036\n",
              "158. 210.0802444\n",
              "159. 211.0830276\n",
              "160. 212.06876295\n",
              "161. 213.07730255\n",
              "162. 213.8933548\n",
              "163. 214.54080885\n",
              "164. 215.0725563\n",
              "165. 215.8101112\n",
              "166. 216.3674629\n",
              "167. 217.16360775\n",
              "168. 217.68156965\n",
              "169. 217.6963409\n",
              "170. 217.8332176\n",
              "171. 217.9971733\n",
              "172. 218.24236905\n",
              "173. 218.3492111\n",
              "174. 218.5771728\n",
              "175. 218.78642575\n",
              "176. 218.8218757\n",
              "177. 218.91886975\n",
              "178. 218.95382765\n",
              "179. 218.93561095\n",
              "180. 218.98090895\n",
              "181. 219.23693615\n",
              "182. 219.4777\n",
              "183. 219.6249153\n",
              "184. 219.89276045\n",
              "185. 220.04145205\n",
              "186. 219.8095505\n",
              "187. 219.2206879\n",
              "188. 219.13551105\n",
              "189. 219.10990835\n",
              "190. 219.30242085\n",
              "191. 219.4412682\n",
              "192. 219.2438317\n",
              "193. 219.32507025\n",
              "194. 219.3181771\n",
              "195. 219.344764\n",
              "196. 219.08233575\n",
              "197. 218.82877205\n",
              "198. 218.36398475\n",
              "199. 217.62446145\n",
              "200. 216.83767095\n",
              "201. 216.1872643\n",
              "202. 215.90317235\n",
              "203. 215.075515\n",
              "204. 213.98346105\n",
              "205. 212.84611055\n",
              "206. 212.5305069\n",
              "207. 212.2728783\n",
              "208. 211.4394814\n",
              "209. 210.3310555\n",
              "210. 208.8909386\n",
              "211. 207.22980425\n",
              "212. 206.05098955\n",
              "213. 204.8149338\n",
              "214. 203.13394475\n",
              "215. 200.9118035\n",
              "216. 199.05594335\n",
              "217. 196.74633945\n",
              "218. 194.7241829\n",
              "219. 192.8831482\n",
              "220. 191.3209557\n",
              "221. 189.4163346\n",
              "222. 187.2983559\n",
              "223. 186.21442035\n",
              "224. 185.01879885\n",
              "225. 183.6185097\n",
              "226. 181.60613255\n",
              "227. 179.68466415\n",
              "228. 177.91389005\n",
              "229. 176.675238\n",
              "230. 175.6238403\n",
              "231. 174.57046585\n",
              "232. 173.2132347\n",
              "233. 171.8564972\n",
              "234. 170.6227852\n",
              "235. 169.6272194\n",
              "236. 168.34014665\n",
              "237. 167.08222585\n",
              "238. 166.22006005\n",
              "239. 165.3262742\n",
              "240. 164.10540855\n",
              "241. 163.027826\n",
              "242. &lt;NA&gt;\n",
              "243. &lt;NA&gt;\n",
              "244. &lt;NA&gt;\n",
              "245. &lt;NA&gt;\n",
              "246. &lt;NA&gt;\n",
              "247. &lt;NA&gt;\n",
              "248. &lt;NA&gt;\n",
              "249. &lt;NA&gt;\n",
              "250. &lt;NA&gt;\n",
              "251. &lt;NA&gt;\n",
              "\n",
              "\n"
            ],
            "text/latex": [
              "A Time Series:\\\\\\begin{enumerate*}\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item 169.7210038\n",
              "\\item 169.4858941\n",
              "\\item 169.2692819\n",
              "\\item 168.65935985\n",
              "\\item 167.75834895\n",
              "\\item 167.20732505\n",
              "\\item 166.487391\n",
              "\\item 165.5557145\n",
              "\\item 164.66822135\n",
              "\\item 164.00053715\n",
              "\\item 163.4563317\n",
              "\\item 162.91856695\n",
              "\\item 162.647696\n",
              "\\item 162.38839425\n",
              "\\item 162.17181405\n",
              "\\item 161.91516505\n",
              "\\item 161.86567545\n",
              "\\item 162.1141961\n",
              "\\item 162.51284495\n",
              "\\item 163.05594875\n",
              "\\item 163.63404705\n",
              "\\item 164.03726205\n",
              "\\item 164.48257985\n",
              "\\item 165.31208045\n",
              "\\item 166.3294442\n",
              "\\item 166.9483056\n",
              "\\item 167.83040245\n",
              "\\item 169.07477045\n",
              "\\item 170.31180735\n",
              "\\item 171.15539715\n",
              "\\item 171.84453895\n",
              "\\item 172.3958535\n",
              "\\item 172.641697\n",
              "\\item 172.78196875\n",
              "\\item 172.9476571\n",
              "\\item 172.9574311\n",
              "\\item 172.779036\n",
              "\\item 172.2629128\n",
              "\\item 171.95988545\n",
              "\\item 171.4686882\n",
              "\\item 170.89977795\n",
              "\\item 170.5468971\n",
              "\\item 170.0811142\n",
              "\\item 169.66909405\n",
              "\\item 169.42178415\n",
              "\\item 169.3127914\n",
              "\\item 168.8944183\n",
              "\\item 168.4090858\n",
              "\\item 167.99511255\n",
              "\\item 167.62708045\n",
              "\\item 167.41691735\n",
              "\\item 167.2253257\n",
              "\\item 167.1178008\n",
              "\\item 167.2614951\n",
              "\\item 167.38857105\n",
              "\\item 167.4633506\n",
              "\\item 167.3103698\n",
              "\\item 167.325032\n",
              "\\item 166.8445869\n",
              "\\item 166.61536025\n",
              "\\item 166.50490265\n",
              "\\item 166.238044\n",
              "\\item 166.16864015\n",
              "\\item 166.20334095\n",
              "\\item 166.4457627\n",
              "\\item 166.64566275\n",
              "\\item 167.40078815\n",
              "\\item 168.13929445\n",
              "\\item 168.7648987\n",
              "\\item 169.49412005\n",
              "\\item 170.271238\n",
              "\\item 170.98419575\n",
              "\\item 171.62228855\n",
              "\\item 172.05820545\n",
              "\\item 172.59904175\n",
              "\\item 173.3278259\n",
              "\\item 174.3692848\n",
              "\\item 175.4989677\n",
              "\\item 176.7180038\n",
              "\\item 177.9612167\n",
              "\\item 179.16626505\n",
              "\\item 180.48527445\n",
              "\\item 181.62722775\n",
              "\\item 182.5618736\n",
              "\\item 183.1005096\n",
              "\\item 183.7888511\n",
              "\\item 184.2160087\n",
              "\\item 184.6507766\n",
              "\\item 185.0749183\n",
              "\\item 185.4095199\n",
              "\\item 185.52678215\n",
              "\\item 185.65631095\n",
              "\\item 185.85894385\n",
              "\\item 186.0679549\n",
              "\\item 186.1965041\n",
              "\\item 186.287271\n",
              "\\item 186.4064963\n",
              "\\item 186.311312\n",
              "\\item 186.2789298\n",
              "\\item 186.13664385\n",
              "\\item 185.97816685\n",
              "\\item 185.6636664\n",
              "\\item 185.4934157\n",
              "\\item 185.32954315\n",
              "\\item 185.26232515\n",
              "\\item 185.0106276\n",
              "\\item 184.7824782\n",
              "\\item 184.32176885\n",
              "\\item 183.90080025\n",
              "\\item 183.63143835\n",
              "\\item 183.57648765\n",
              "\\item 183.5333114\n",
              "\\item 183.3174316\n",
              "\\item 183.3336227\n",
              "\\item 183.3596252\n",
              "\\item 183.4611885\n",
              "\\item 183.5941513\n",
              "\\item 183.82524335\n",
              "\\item 184.08920745\n",
              "\\item 184.3826088\n",
              "\\item 184.7108467\n",
              "\\item 185.2422096\n",
              "\\item 185.7519836\n",
              "\\item 186.2450752\n",
              "\\item 186.5139457\n",
              "\\item 186.7494514\n",
              "\\item 186.9020408\n",
              "\\item 187.7645835\n",
              "\\item 188.8434981\n",
              "\\item 189.82575825\n",
              "\\item 190.73295045\n",
              "\\item 191.55526185\n",
              "\\item 192.5056296\n",
              "\\item 193.3814208\n",
              "\\item 194.2119666\n",
              "\\item 195.12909535\n",
              "\\item 196.0630576\n",
              "\\item 197.07266225\n",
              "\\item 198.16129825\n",
              "\\item 199.4812682\n",
              "\\item 200.6885169\n",
              "\\item 201.8068862\n",
              "\\item 202.8364524\n",
              "\\item 203.91761235\n",
              "\\item 205.19023735\n",
              "\\item 206.60300055\n",
              "\\item 208.0837745\n",
              "\\item 209.176036\n",
              "\\item 210.0802444\n",
              "\\item 211.0830276\n",
              "\\item 212.06876295\n",
              "\\item 213.07730255\n",
              "\\item 213.8933548\n",
              "\\item 214.54080885\n",
              "\\item 215.0725563\n",
              "\\item 215.8101112\n",
              "\\item 216.3674629\n",
              "\\item 217.16360775\n",
              "\\item 217.68156965\n",
              "\\item 217.6963409\n",
              "\\item 217.8332176\n",
              "\\item 217.9971733\n",
              "\\item 218.24236905\n",
              "\\item 218.3492111\n",
              "\\item 218.5771728\n",
              "\\item 218.78642575\n",
              "\\item 218.8218757\n",
              "\\item 218.91886975\n",
              "\\item 218.95382765\n",
              "\\item 218.93561095\n",
              "\\item 218.98090895\n",
              "\\item 219.23693615\n",
              "\\item 219.4777\n",
              "\\item 219.6249153\n",
              "\\item 219.89276045\n",
              "\\item 220.04145205\n",
              "\\item 219.8095505\n",
              "\\item 219.2206879\n",
              "\\item 219.13551105\n",
              "\\item 219.10990835\n",
              "\\item 219.30242085\n",
              "\\item 219.4412682\n",
              "\\item 219.2438317\n",
              "\\item 219.32507025\n",
              "\\item 219.3181771\n",
              "\\item 219.344764\n",
              "\\item 219.08233575\n",
              "\\item 218.82877205\n",
              "\\item 218.36398475\n",
              "\\item 217.62446145\n",
              "\\item 216.83767095\n",
              "\\item 216.1872643\n",
              "\\item 215.90317235\n",
              "\\item 215.075515\n",
              "\\item 213.98346105\n",
              "\\item 212.84611055\n",
              "\\item 212.5305069\n",
              "\\item 212.2728783\n",
              "\\item 211.4394814\n",
              "\\item 210.3310555\n",
              "\\item 208.8909386\n",
              "\\item 207.22980425\n",
              "\\item 206.05098955\n",
              "\\item 204.8149338\n",
              "\\item 203.13394475\n",
              "\\item 200.9118035\n",
              "\\item 199.05594335\n",
              "\\item 196.74633945\n",
              "\\item 194.7241829\n",
              "\\item 192.8831482\n",
              "\\item 191.3209557\n",
              "\\item 189.4163346\n",
              "\\item 187.2983559\n",
              "\\item 186.21442035\n",
              "\\item 185.01879885\n",
              "\\item 183.6185097\n",
              "\\item 181.60613255\n",
              "\\item 179.68466415\n",
              "\\item 177.91389005\n",
              "\\item 176.675238\n",
              "\\item 175.6238403\n",
              "\\item 174.57046585\n",
              "\\item 173.2132347\n",
              "\\item 171.8564972\n",
              "\\item 170.6227852\n",
              "\\item 169.6272194\n",
              "\\item 168.34014665\n",
              "\\item 167.08222585\n",
              "\\item 166.22006005\n",
              "\\item 165.3262742\n",
              "\\item 164.10540855\n",
              "\\item 163.027826\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\item <NA>\n",
              "\\end{enumerate*}\n"
            ],
            "text/plain": [
              "A Time Series:\n",
              "  [1]       NA       NA       NA       NA       NA       NA       NA       NA\n",
              "  [9]       NA 169.7210 169.4859 169.2693 168.6594 167.7583 167.2073 166.4874\n",
              " [17] 165.5557 164.6682 164.0005 163.4563 162.9186 162.6477 162.3884 162.1718\n",
              " [25] 161.9152 161.8657 162.1142 162.5128 163.0559 163.6340 164.0373 164.4826\n",
              " [33] 165.3121 166.3294 166.9483 167.8304 169.0748 170.3118 171.1554 171.8445\n",
              " [41] 172.3959 172.6417 172.7820 172.9477 172.9574 172.7790 172.2629 171.9599\n",
              " [49] 171.4687 170.8998 170.5469 170.0811 169.6691 169.4218 169.3128 168.8944\n",
              " [57] 168.4091 167.9951 167.6271 167.4169 167.2253 167.1178 167.2615 167.3886\n",
              " [65] 167.4634 167.3104 167.3250 166.8446 166.6154 166.5049 166.2380 166.1686\n",
              " [73] 166.2033 166.4458 166.6457 167.4008 168.1393 168.7649 169.4941 170.2712\n",
              " [81] 170.9842 171.6223 172.0582 172.5990 173.3278 174.3693 175.4990 176.7180\n",
              " [89] 177.9612 179.1663 180.4853 181.6272 182.5619 183.1005 183.7889 184.2160\n",
              " [97] 184.6508 185.0749 185.4095 185.5268 185.6563 185.8589 186.0680 186.1965\n",
              "[105] 186.2873 186.4065 186.3113 186.2789 186.1366 185.9782 185.6637 185.4934\n",
              "[113] 185.3295 185.2623 185.0106 184.7825 184.3218 183.9008 183.6314 183.5765\n",
              "[121] 183.5333 183.3174 183.3336 183.3596 183.4612 183.5942 183.8252 184.0892\n",
              "[129] 184.3826 184.7108 185.2422 185.7520 186.2451 186.5139 186.7495 186.9020\n",
              "[137] 187.7646 188.8435 189.8258 190.7330 191.5553 192.5056 193.3814 194.2120\n",
              "[145] 195.1291 196.0631 197.0727 198.1613 199.4813 200.6885 201.8069 202.8365\n",
              "[153] 203.9176 205.1902 206.6030 208.0838 209.1760 210.0802 211.0830 212.0688\n",
              "[161] 213.0773 213.8934 214.5408 215.0726 215.8101 216.3675 217.1636 217.6816\n",
              "[169] 217.6963 217.8332 217.9972 218.2424 218.3492 218.5772 218.7864 218.8219\n",
              "[177] 218.9189 218.9538 218.9356 218.9809 219.2369 219.4777 219.6249 219.8928\n",
              "[185] 220.0415 219.8096 219.2207 219.1355 219.1099 219.3024 219.4413 219.2438\n",
              "[193] 219.3251 219.3182 219.3448 219.0823 218.8288 218.3640 217.6245 216.8377\n",
              "[201] 216.1873 215.9032 215.0755 213.9835 212.8461 212.5305 212.2729 211.4395\n",
              "[209] 210.3311 208.8909 207.2298 206.0510 204.8149 203.1339 200.9118 199.0559\n",
              "[217] 196.7463 194.7242 192.8831 191.3210 189.4163 187.2984 186.2144 185.0188\n",
              "[225] 183.6185 181.6061 179.6847 177.9139 176.6752 175.6238 174.5705 173.2132\n",
              "[233] 171.8565 170.6228 169.6272 168.3401 167.0822 166.2201 165.3263 164.1054\n",
              "[241] 163.0278       NA       NA       NA       NA       NA       NA       NA\n",
              "[249]       NA       NA       NA"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 14,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Drop NA\n",
        "na.omit(sma)"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "A Time Series:<br><ol class=list-inline>\n",
              "\t<li>169.7210038</li>\n",
              "\t<li>169.4858941</li>\n",
              "\t<li>169.2692819</li>\n",
              "\t<li>168.65935985</li>\n",
              "\t<li>167.75834895</li>\n",
              "\t<li>167.20732505</li>\n",
              "\t<li>166.487391</li>\n",
              "\t<li>165.5557145</li>\n",
              "\t<li>164.66822135</li>\n",
              "\t<li>164.00053715</li>\n",
              "\t<li>163.4563317</li>\n",
              "\t<li>162.91856695</li>\n",
              "\t<li>162.647696</li>\n",
              "\t<li>162.38839425</li>\n",
              "\t<li>162.17181405</li>\n",
              "\t<li>161.91516505</li>\n",
              "\t<li>161.86567545</li>\n",
              "\t<li>162.1141961</li>\n",
              "\t<li>162.51284495</li>\n",
              "\t<li>163.05594875</li>\n",
              "\t<li>163.63404705</li>\n",
              "\t<li>164.03726205</li>\n",
              "\t<li>164.48257985</li>\n",
              "\t<li>165.31208045</li>\n",
              "\t<li>166.3294442</li>\n",
              "\t<li>166.9483056</li>\n",
              "\t<li>167.83040245</li>\n",
              "\t<li>169.07477045</li>\n",
              "\t<li>170.31180735</li>\n",
              "\t<li>171.15539715</li>\n",
              "\t<li>171.84453895</li>\n",
              "\t<li>172.3958535</li>\n",
              "\t<li>172.641697</li>\n",
              "\t<li>172.78196875</li>\n",
              "\t<li>172.9476571</li>\n",
              "\t<li>172.9574311</li>\n",
              "\t<li>172.779036</li>\n",
              "\t<li>172.2629128</li>\n",
              "\t<li>171.95988545</li>\n",
              "\t<li>171.4686882</li>\n",
              "\t<li>170.89977795</li>\n",
              "\t<li>170.5468971</li>\n",
              "\t<li>170.0811142</li>\n",
              "\t<li>169.66909405</li>\n",
              "\t<li>169.42178415</li>\n",
              "\t<li>169.3127914</li>\n",
              "\t<li>168.8944183</li>\n",
              "\t<li>168.4090858</li>\n",
              "\t<li>167.99511255</li>\n",
              "\t<li>167.62708045</li>\n",
              "\t<li>167.41691735</li>\n",
              "\t<li>167.2253257</li>\n",
              "\t<li>167.1178008</li>\n",
              "\t<li>167.2614951</li>\n",
              "\t<li>167.38857105</li>\n",
              "\t<li>167.4633506</li>\n",
              "\t<li>167.3103698</li>\n",
              "\t<li>167.325032</li>\n",
              "\t<li>166.8445869</li>\n",
              "\t<li>166.61536025</li>\n",
              "\t<li>166.50490265</li>\n",
              "\t<li>166.238044</li>\n",
              "\t<li>166.16864015</li>\n",
              "\t<li>166.20334095</li>\n",
              "\t<li>166.4457627</li>\n",
              "\t<li>166.64566275</li>\n",
              "\t<li>167.40078815</li>\n",
              "\t<li>168.13929445</li>\n",
              "\t<li>168.7648987</li>\n",
              "\t<li>169.49412005</li>\n",
              "\t<li>170.271238</li>\n",
              "\t<li>170.98419575</li>\n",
              "\t<li>171.62228855</li>\n",
              "\t<li>172.05820545</li>\n",
              "\t<li>172.59904175</li>\n",
              "\t<li>173.3278259</li>\n",
              "\t<li>174.3692848</li>\n",
              "\t<li>175.4989677</li>\n",
              "\t<li>176.7180038</li>\n",
              "\t<li>177.9612167</li>\n",
              "\t<li>179.16626505</li>\n",
              "\t<li>180.48527445</li>\n",
              "\t<li>181.62722775</li>\n",
              "\t<li>182.5618736</li>\n",
              "\t<li>183.1005096</li>\n",
              "\t<li>183.7888511</li>\n",
              "\t<li>184.2160087</li>\n",
              "\t<li>184.6507766</li>\n",
              "\t<li>185.0749183</li>\n",
              "\t<li>185.4095199</li>\n",
              "\t<li>185.52678215</li>\n",
              "\t<li>185.65631095</li>\n",
              "\t<li>185.85894385</li>\n",
              "\t<li>186.0679549</li>\n",
              "\t<li>186.1965041</li>\n",
              "\t<li>186.287271</li>\n",
              "\t<li>186.4064963</li>\n",
              "\t<li>186.311312</li>\n",
              "\t<li>186.2789298</li>\n",
              "\t<li>186.13664385</li>\n",
              "\t<li>185.97816685</li>\n",
              "\t<li>185.6636664</li>\n",
              "\t<li>185.4934157</li>\n",
              "\t<li>185.32954315</li>\n",
              "\t<li>185.26232515</li>\n",
              "\t<li>185.0106276</li>\n",
              "\t<li>184.7824782</li>\n",
              "\t<li>184.32176885</li>\n",
              "\t<li>183.90080025</li>\n",
              "\t<li>183.63143835</li>\n",
              "\t<li>183.57648765</li>\n",
              "\t<li>183.5333114</li>\n",
              "\t<li>183.3174316</li>\n",
              "\t<li>183.3336227</li>\n",
              "\t<li>183.3596252</li>\n",
              "\t<li>183.4611885</li>\n",
              "\t<li>183.5941513</li>\n",
              "\t<li>183.82524335</li>\n",
              "\t<li>184.08920745</li>\n",
              "\t<li>184.3826088</li>\n",
              "\t<li>184.7108467</li>\n",
              "\t<li>185.2422096</li>\n",
              "\t<li>185.7519836</li>\n",
              "\t<li>186.2450752</li>\n",
              "\t<li>186.5139457</li>\n",
              "\t<li>186.7494514</li>\n",
              "\t<li>186.9020408</li>\n",
              "\t<li>187.7645835</li>\n",
              "\t<li>188.8434981</li>\n",
              "\t<li>189.82575825</li>\n",
              "\t<li>190.73295045</li>\n",
              "\t<li>191.55526185</li>\n",
              "\t<li>192.5056296</li>\n",
              "\t<li>193.3814208</li>\n",
              "\t<li>194.2119666</li>\n",
              "\t<li>195.12909535</li>\n",
              "\t<li>196.0630576</li>\n",
              "\t<li>197.07266225</li>\n",
              "\t<li>198.16129825</li>\n",
              "\t<li>199.4812682</li>\n",
              "\t<li>200.6885169</li>\n",
              "\t<li>201.8068862</li>\n",
              "\t<li>202.8364524</li>\n",
              "\t<li>203.91761235</li>\n",
              "\t<li>205.19023735</li>\n",
              "\t<li>206.60300055</li>\n",
              "\t<li>208.0837745</li>\n",
              "\t<li>209.176036</li>\n",
              "\t<li>210.0802444</li>\n",
              "\t<li>211.0830276</li>\n",
              "\t<li>212.06876295</li>\n",
              "\t<li>213.07730255</li>\n",
              "\t<li>213.8933548</li>\n",
              "\t<li>214.54080885</li>\n",
              "\t<li>215.0725563</li>\n",
              "\t<li>215.8101112</li>\n",
              "\t<li>216.3674629</li>\n",
              "\t<li>217.16360775</li>\n",
              "\t<li>217.68156965</li>\n",
              "\t<li>217.6963409</li>\n",
              "\t<li>217.8332176</li>\n",
              "\t<li>217.9971733</li>\n",
              "\t<li>218.24236905</li>\n",
              "\t<li>218.3492111</li>\n",
              "\t<li>218.5771728</li>\n",
              "\t<li>218.78642575</li>\n",
              "\t<li>218.8218757</li>\n",
              "\t<li>218.91886975</li>\n",
              "\t<li>218.95382765</li>\n",
              "\t<li>218.93561095</li>\n",
              "\t<li>218.98090895</li>\n",
              "\t<li>219.23693615</li>\n",
              "\t<li>219.4777</li>\n",
              "\t<li>219.6249153</li>\n",
              "\t<li>219.89276045</li>\n",
              "\t<li>220.04145205</li>\n",
              "\t<li>219.8095505</li>\n",
              "\t<li>219.2206879</li>\n",
              "\t<li>219.13551105</li>\n",
              "\t<li>219.10990835</li>\n",
              "\t<li>219.30242085</li>\n",
              "\t<li>219.4412682</li>\n",
              "\t<li>219.2438317</li>\n",
              "\t<li>219.32507025</li>\n",
              "\t<li>219.3181771</li>\n",
              "\t<li>219.344764</li>\n",
              "\t<li>219.08233575</li>\n",
              "\t<li>218.82877205</li>\n",
              "\t<li>218.36398475</li>\n",
              "\t<li>217.62446145</li>\n",
              "\t<li>216.83767095</li>\n",
              "\t<li>216.1872643</li>\n",
              "\t<li>215.90317235</li>\n",
              "\t<li>215.075515</li>\n",
              "\t<li>213.98346105</li>\n",
              "\t<li>212.84611055</li>\n",
              "\t<li>212.5305069</li>\n",
              "\t<li>212.2728783</li>\n",
              "\t<li>211.4394814</li>\n",
              "\t<li>210.3310555</li>\n",
              "\t<li>208.8909386</li>\n",
              "\t<li>207.22980425</li>\n",
              "\t<li>206.05098955</li>\n",
              "\t<li>204.8149338</li>\n",
              "\t<li>203.13394475</li>\n",
              "\t<li>200.9118035</li>\n",
              "\t<li>199.05594335</li>\n",
              "\t<li>196.74633945</li>\n",
              "\t<li>194.7241829</li>\n",
              "\t<li>192.8831482</li>\n",
              "\t<li>191.3209557</li>\n",
              "\t<li>189.4163346</li>\n",
              "\t<li>187.2983559</li>\n",
              "\t<li>186.21442035</li>\n",
              "\t<li>185.01879885</li>\n",
              "\t<li>183.6185097</li>\n",
              "\t<li>181.60613255</li>\n",
              "\t<li>179.68466415</li>\n",
              "\t<li>177.91389005</li>\n",
              "\t<li>176.675238</li>\n",
              "\t<li>175.6238403</li>\n",
              "\t<li>174.57046585</li>\n",
              "\t<li>173.2132347</li>\n",
              "\t<li>171.8564972</li>\n",
              "\t<li>170.6227852</li>\n",
              "\t<li>169.6272194</li>\n",
              "\t<li>168.34014665</li>\n",
              "\t<li>167.08222585</li>\n",
              "\t<li>166.22006005</li>\n",
              "\t<li>165.3262742</li>\n",
              "\t<li>164.10540855</li>\n",
              "\t<li>163.027826</li>\n",
              "</ol>\n"
            ],
            "text/markdown": [
              "A Time Series:  \n",
              "1. 169.7210038\n",
              "2. 169.4858941\n",
              "3. 169.2692819\n",
              "4. 168.65935985\n",
              "5. 167.75834895\n",
              "6. 167.20732505\n",
              "7. 166.487391\n",
              "8. 165.5557145\n",
              "9. 164.66822135\n",
              "10. 164.00053715\n",
              "11. 163.4563317\n",
              "12. 162.91856695\n",
              "13. 162.647696\n",
              "14. 162.38839425\n",
              "15. 162.17181405\n",
              "16. 161.91516505\n",
              "17. 161.86567545\n",
              "18. 162.1141961\n",
              "19. 162.51284495\n",
              "20. 163.05594875\n",
              "21. 163.63404705\n",
              "22. 164.03726205\n",
              "23. 164.48257985\n",
              "24. 165.31208045\n",
              "25. 166.3294442\n",
              "26. 166.9483056\n",
              "27. 167.83040245\n",
              "28. 169.07477045\n",
              "29. 170.31180735\n",
              "30. 171.15539715\n",
              "31. 171.84453895\n",
              "32. 172.3958535\n",
              "33. 172.641697\n",
              "34. 172.78196875\n",
              "35. 172.9476571\n",
              "36. 172.9574311\n",
              "37. 172.779036\n",
              "38. 172.2629128\n",
              "39. 171.95988545\n",
              "40. 171.4686882\n",
              "41. 170.89977795\n",
              "42. 170.5468971\n",
              "43. 170.0811142\n",
              "44. 169.66909405\n",
              "45. 169.42178415\n",
              "46. 169.3127914\n",
              "47. 168.8944183\n",
              "48. 168.4090858\n",
              "49. 167.99511255\n",
              "50. 167.62708045\n",
              "51. 167.41691735\n",
              "52. 167.2253257\n",
              "53. 167.1178008\n",
              "54. 167.2614951\n",
              "55. 167.38857105\n",
              "56. 167.4633506\n",
              "57. 167.3103698\n",
              "58. 167.325032\n",
              "59. 166.8445869\n",
              "60. 166.61536025\n",
              "61. 166.50490265\n",
              "62. 166.238044\n",
              "63. 166.16864015\n",
              "64. 166.20334095\n",
              "65. 166.4457627\n",
              "66. 166.64566275\n",
              "67. 167.40078815\n",
              "68. 168.13929445\n",
              "69. 168.7648987\n",
              "70. 169.49412005\n",
              "71. 170.271238\n",
              "72. 170.98419575\n",
              "73. 171.62228855\n",
              "74. 172.05820545\n",
              "75. 172.59904175\n",
              "76. 173.3278259\n",
              "77. 174.3692848\n",
              "78. 175.4989677\n",
              "79. 176.7180038\n",
              "80. 177.9612167\n",
              "81. 179.16626505\n",
              "82. 180.48527445\n",
              "83. 181.62722775\n",
              "84. 182.5618736\n",
              "85. 183.1005096\n",
              "86. 183.7888511\n",
              "87. 184.2160087\n",
              "88. 184.6507766\n",
              "89. 185.0749183\n",
              "90. 185.4095199\n",
              "91. 185.52678215\n",
              "92. 185.65631095\n",
              "93. 185.85894385\n",
              "94. 186.0679549\n",
              "95. 186.1965041\n",
              "96. 186.287271\n",
              "97. 186.4064963\n",
              "98. 186.311312\n",
              "99. 186.2789298\n",
              "100. 186.13664385\n",
              "101. 185.97816685\n",
              "102. 185.6636664\n",
              "103. 185.4934157\n",
              "104. 185.32954315\n",
              "105. 185.26232515\n",
              "106. 185.0106276\n",
              "107. 184.7824782\n",
              "108. 184.32176885\n",
              "109. 183.90080025\n",
              "110. 183.63143835\n",
              "111. 183.57648765\n",
              "112. 183.5333114\n",
              "113. 183.3174316\n",
              "114. 183.3336227\n",
              "115. 183.3596252\n",
              "116. 183.4611885\n",
              "117. 183.5941513\n",
              "118. 183.82524335\n",
              "119. 184.08920745\n",
              "120. 184.3826088\n",
              "121. 184.7108467\n",
              "122. 185.2422096\n",
              "123. 185.7519836\n",
              "124. 186.2450752\n",
              "125. 186.5139457\n",
              "126. 186.7494514\n",
              "127. 186.9020408\n",
              "128. 187.7645835\n",
              "129. 188.8434981\n",
              "130. 189.82575825\n",
              "131. 190.73295045\n",
              "132. 191.55526185\n",
              "133. 192.5056296\n",
              "134. 193.3814208\n",
              "135. 194.2119666\n",
              "136. 195.12909535\n",
              "137. 196.0630576\n",
              "138. 197.07266225\n",
              "139. 198.16129825\n",
              "140. 199.4812682\n",
              "141. 200.6885169\n",
              "142. 201.8068862\n",
              "143. 202.8364524\n",
              "144. 203.91761235\n",
              "145. 205.19023735\n",
              "146. 206.60300055\n",
              "147. 208.0837745\n",
              "148. 209.176036\n",
              "149. 210.0802444\n",
              "150. 211.0830276\n",
              "151. 212.06876295\n",
              "152. 213.07730255\n",
              "153. 213.8933548\n",
              "154. 214.54080885\n",
              "155. 215.0725563\n",
              "156. 215.8101112\n",
              "157. 216.3674629\n",
              "158. 217.16360775\n",
              "159. 217.68156965\n",
              "160. 217.6963409\n",
              "161. 217.8332176\n",
              "162. 217.9971733\n",
              "163. 218.24236905\n",
              "164. 218.3492111\n",
              "165. 218.5771728\n",
              "166. 218.78642575\n",
              "167. 218.8218757\n",
              "168. 218.91886975\n",
              "169. 218.95382765\n",
              "170. 218.93561095\n",
              "171. 218.98090895\n",
              "172. 219.23693615\n",
              "173. 219.4777\n",
              "174. 219.6249153\n",
              "175. 219.89276045\n",
              "176. 220.04145205\n",
              "177. 219.8095505\n",
              "178. 219.2206879\n",
              "179. 219.13551105\n",
              "180. 219.10990835\n",
              "181. 219.30242085\n",
              "182. 219.4412682\n",
              "183. 219.2438317\n",
              "184. 219.32507025\n",
              "185. 219.3181771\n",
              "186. 219.344764\n",
              "187. 219.08233575\n",
              "188. 218.82877205\n",
              "189. 218.36398475\n",
              "190. 217.62446145\n",
              "191. 216.83767095\n",
              "192. 216.1872643\n",
              "193. 215.90317235\n",
              "194. 215.075515\n",
              "195. 213.98346105\n",
              "196. 212.84611055\n",
              "197. 212.5305069\n",
              "198. 212.2728783\n",
              "199. 211.4394814\n",
              "200. 210.3310555\n",
              "201. 208.8909386\n",
              "202. 207.22980425\n",
              "203. 206.05098955\n",
              "204. 204.8149338\n",
              "205. 203.13394475\n",
              "206. 200.9118035\n",
              "207. 199.05594335\n",
              "208. 196.74633945\n",
              "209. 194.7241829\n",
              "210. 192.8831482\n",
              "211. 191.3209557\n",
              "212. 189.4163346\n",
              "213. 187.2983559\n",
              "214. 186.21442035\n",
              "215. 185.01879885\n",
              "216. 183.6185097\n",
              "217. 181.60613255\n",
              "218. 179.68466415\n",
              "219. 177.91389005\n",
              "220. 176.675238\n",
              "221. 175.6238403\n",
              "222. 174.57046585\n",
              "223. 173.2132347\n",
              "224. 171.8564972\n",
              "225. 170.6227852\n",
              "226. 169.6272194\n",
              "227. 168.34014665\n",
              "228. 167.08222585\n",
              "229. 166.22006005\n",
              "230. 165.3262742\n",
              "231. 164.10540855\n",
              "232. 163.027826\n",
              "\n",
              "\n"
            ],
            "text/latex": [
              "A Time Series:\\\\\\begin{enumerate*}\n",
              "\\item 169.7210038\n",
              "\\item 169.4858941\n",
              "\\item 169.2692819\n",
              "\\item 168.65935985\n",
              "\\item 167.75834895\n",
              "\\item 167.20732505\n",
              "\\item 166.487391\n",
              "\\item 165.5557145\n",
              "\\item 164.66822135\n",
              "\\item 164.00053715\n",
              "\\item 163.4563317\n",
              "\\item 162.91856695\n",
              "\\item 162.647696\n",
              "\\item 162.38839425\n",
              "\\item 162.17181405\n",
              "\\item 161.91516505\n",
              "\\item 161.86567545\n",
              "\\item 162.1141961\n",
              "\\item 162.51284495\n",
              "\\item 163.05594875\n",
              "\\item 163.63404705\n",
              "\\item 164.03726205\n",
              "\\item 164.48257985\n",
              "\\item 165.31208045\n",
              "\\item 166.3294442\n",
              "\\item 166.9483056\n",
              "\\item 167.83040245\n",
              "\\item 169.07477045\n",
              "\\item 170.31180735\n",
              "\\item 171.15539715\n",
              "\\item 171.84453895\n",
              "\\item 172.3958535\n",
              "\\item 172.641697\n",
              "\\item 172.78196875\n",
              "\\item 172.9476571\n",
              "\\item 172.9574311\n",
              "\\item 172.779036\n",
              "\\item 172.2629128\n",
              "\\item 171.95988545\n",
              "\\item 171.4686882\n",
              "\\item 170.89977795\n",
              "\\item 170.5468971\n",
              "\\item 170.0811142\n",
              "\\item 169.66909405\n",
              "\\item 169.42178415\n",
              "\\item 169.3127914\n",
              "\\item 168.8944183\n",
              "\\item 168.4090858\n",
              "\\item 167.99511255\n",
              "\\item 167.62708045\n",
              "\\item 167.41691735\n",
              "\\item 167.2253257\n",
              "\\item 167.1178008\n",
              "\\item 167.2614951\n",
              "\\item 167.38857105\n",
              "\\item 167.4633506\n",
              "\\item 167.3103698\n",
              "\\item 167.325032\n",
              "\\item 166.8445869\n",
              "\\item 166.61536025\n",
              "\\item 166.50490265\n",
              "\\item 166.238044\n",
              "\\item 166.16864015\n",
              "\\item 166.20334095\n",
              "\\item 166.4457627\n",
              "\\item 166.64566275\n",
              "\\item 167.40078815\n",
              "\\item 168.13929445\n",
              "\\item 168.7648987\n",
              "\\item 169.49412005\n",
              "\\item 170.271238\n",
              "\\item 170.98419575\n",
              "\\item 171.62228855\n",
              "\\item 172.05820545\n",
              "\\item 172.59904175\n",
              "\\item 173.3278259\n",
              "\\item 174.3692848\n",
              "\\item 175.4989677\n",
              "\\item 176.7180038\n",
              "\\item 177.9612167\n",
              "\\item 179.16626505\n",
              "\\item 180.48527445\n",
              "\\item 181.62722775\n",
              "\\item 182.5618736\n",
              "\\item 183.1005096\n",
              "\\item 183.7888511\n",
              "\\item 184.2160087\n",
              "\\item 184.6507766\n",
              "\\item 185.0749183\n",
              "\\item 185.4095199\n",
              "\\item 185.52678215\n",
              "\\item 185.65631095\n",
              "\\item 185.85894385\n",
              "\\item 186.0679549\n",
              "\\item 186.1965041\n",
              "\\item 186.287271\n",
              "\\item 186.4064963\n",
              "\\item 186.311312\n",
              "\\item 186.2789298\n",
              "\\item 186.13664385\n",
              "\\item 185.97816685\n",
              "\\item 185.6636664\n",
              "\\item 185.4934157\n",
              "\\item 185.32954315\n",
              "\\item 185.26232515\n",
              "\\item 185.0106276\n",
              "\\item 184.7824782\n",
              "\\item 184.32176885\n",
              "\\item 183.90080025\n",
              "\\item 183.63143835\n",
              "\\item 183.57648765\n",
              "\\item 183.5333114\n",
              "\\item 183.3174316\n",
              "\\item 183.3336227\n",
              "\\item 183.3596252\n",
              "\\item 183.4611885\n",
              "\\item 183.5941513\n",
              "\\item 183.82524335\n",
              "\\item 184.08920745\n",
              "\\item 184.3826088\n",
              "\\item 184.7108467\n",
              "\\item 185.2422096\n",
              "\\item 185.7519836\n",
              "\\item 186.2450752\n",
              "\\item 186.5139457\n",
              "\\item 186.7494514\n",
              "\\item 186.9020408\n",
              "\\item 187.7645835\n",
              "\\item 188.8434981\n",
              "\\item 189.82575825\n",
              "\\item 190.73295045\n",
              "\\item 191.55526185\n",
              "\\item 192.5056296\n",
              "\\item 193.3814208\n",
              "\\item 194.2119666\n",
              "\\item 195.12909535\n",
              "\\item 196.0630576\n",
              "\\item 197.07266225\n",
              "\\item 198.16129825\n",
              "\\item 199.4812682\n",
              "\\item 200.6885169\n",
              "\\item 201.8068862\n",
              "\\item 202.8364524\n",
              "\\item 203.91761235\n",
              "\\item 205.19023735\n",
              "\\item 206.60300055\n",
              "\\item 208.0837745\n",
              "\\item 209.176036\n",
              "\\item 210.0802444\n",
              "\\item 211.0830276\n",
              "\\item 212.06876295\n",
              "\\item 213.07730255\n",
              "\\item 213.8933548\n",
              "\\item 214.54080885\n",
              "\\item 215.0725563\n",
              "\\item 215.8101112\n",
              "\\item 216.3674629\n",
              "\\item 217.16360775\n",
              "\\item 217.68156965\n",
              "\\item 217.6963409\n",
              "\\item 217.8332176\n",
              "\\item 217.9971733\n",
              "\\item 218.24236905\n",
              "\\item 218.3492111\n",
              "\\item 218.5771728\n",
              "\\item 218.78642575\n",
              "\\item 218.8218757\n",
              "\\item 218.91886975\n",
              "\\item 218.95382765\n",
              "\\item 218.93561095\n",
              "\\item 218.98090895\n",
              "\\item 219.23693615\n",
              "\\item 219.4777\n",
              "\\item 219.6249153\n",
              "\\item 219.89276045\n",
              "\\item 220.04145205\n",
              "\\item 219.8095505\n",
              "\\item 219.2206879\n",
              "\\item 219.13551105\n",
              "\\item 219.10990835\n",
              "\\item 219.30242085\n",
              "\\item 219.4412682\n",
              "\\item 219.2438317\n",
              "\\item 219.32507025\n",
              "\\item 219.3181771\n",
              "\\item 219.344764\n",
              "\\item 219.08233575\n",
              "\\item 218.82877205\n",
              "\\item 218.36398475\n",
              "\\item 217.62446145\n",
              "\\item 216.83767095\n",
              "\\item 216.1872643\n",
              "\\item 215.90317235\n",
              "\\item 215.075515\n",
              "\\item 213.98346105\n",
              "\\item 212.84611055\n",
              "\\item 212.5305069\n",
              "\\item 212.2728783\n",
              "\\item 211.4394814\n",
              "\\item 210.3310555\n",
              "\\item 208.8909386\n",
              "\\item 207.22980425\n",
              "\\item 206.05098955\n",
              "\\item 204.8149338\n",
              "\\item 203.13394475\n",
              "\\item 200.9118035\n",
              "\\item 199.05594335\n",
              "\\item 196.74633945\n",
              "\\item 194.7241829\n",
              "\\item 192.8831482\n",
              "\\item 191.3209557\n",
              "\\item 189.4163346\n",
              "\\item 187.2983559\n",
              "\\item 186.21442035\n",
              "\\item 185.01879885\n",
              "\\item 183.6185097\n",
              "\\item 181.60613255\n",
              "\\item 179.68466415\n",
              "\\item 177.91389005\n",
              "\\item 176.675238\n",
              "\\item 175.6238403\n",
              "\\item 174.57046585\n",
              "\\item 173.2132347\n",
              "\\item 171.8564972\n",
              "\\item 170.6227852\n",
              "\\item 169.6272194\n",
              "\\item 168.34014665\n",
              "\\item 167.08222585\n",
              "\\item 166.22006005\n",
              "\\item 165.3262742\n",
              "\\item 164.10540855\n",
              "\\item 163.027826\n",
              "\\end{enumerate*}\n"
            ],
            "text/plain": [
              "A Time Series:\n",
              "  [1] 169.7210 169.4859 169.2693 168.6594 167.7583 167.2073 166.4874 165.5557\n",
              "  [9] 164.6682 164.0005 163.4563 162.9186 162.6477 162.3884 162.1718 161.9152\n",
              " [17] 161.8657 162.1142 162.5128 163.0559 163.6340 164.0373 164.4826 165.3121\n",
              " [25] 166.3294 166.9483 167.8304 169.0748 170.3118 171.1554 171.8445 172.3959\n",
              " [33] 172.6417 172.7820 172.9477 172.9574 172.7790 172.2629 171.9599 171.4687\n",
              " [41] 170.8998 170.5469 170.0811 169.6691 169.4218 169.3128 168.8944 168.4091\n",
              " [49] 167.9951 167.6271 167.4169 167.2253 167.1178 167.2615 167.3886 167.4634\n",
              " [57] 167.3104 167.3250 166.8446 166.6154 166.5049 166.2380 166.1686 166.2033\n",
              " [65] 166.4458 166.6457 167.4008 168.1393 168.7649 169.4941 170.2712 170.9842\n",
              " [73] 171.6223 172.0582 172.5990 173.3278 174.3693 175.4990 176.7180 177.9612\n",
              " [81] 179.1663 180.4853 181.6272 182.5619 183.1005 183.7889 184.2160 184.6508\n",
              " [89] 185.0749 185.4095 185.5268 185.6563 185.8589 186.0680 186.1965 186.2873\n",
              " [97] 186.4065 186.3113 186.2789 186.1366 185.9782 185.6637 185.4934 185.3295\n",
              "[105] 185.2623 185.0106 184.7825 184.3218 183.9008 183.6314 183.5765 183.5333\n",
              "[113] 183.3174 183.3336 183.3596 183.4612 183.5942 183.8252 184.0892 184.3826\n",
              "[121] 184.7108 185.2422 185.7520 186.2451 186.5139 186.7495 186.9020 187.7646\n",
              "[129] 188.8435 189.8258 190.7330 191.5553 192.5056 193.3814 194.2120 195.1291\n",
              "[137] 196.0631 197.0727 198.1613 199.4813 200.6885 201.8069 202.8365 203.9176\n",
              "[145] 205.1902 206.6030 208.0838 209.1760 210.0802 211.0830 212.0688 213.0773\n",
              "[153] 213.8934 214.5408 215.0726 215.8101 216.3675 217.1636 217.6816 217.6963\n",
              "[161] 217.8332 217.9972 218.2424 218.3492 218.5772 218.7864 218.8219 218.9189\n",
              "[169] 218.9538 218.9356 218.9809 219.2369 219.4777 219.6249 219.8928 220.0415\n",
              "[177] 219.8096 219.2207 219.1355 219.1099 219.3024 219.4413 219.2438 219.3251\n",
              "[185] 219.3182 219.3448 219.0823 218.8288 218.3640 217.6245 216.8377 216.1873\n",
              "[193] 215.9032 215.0755 213.9835 212.8461 212.5305 212.2729 211.4395 210.3311\n",
              "[201] 208.8909 207.2298 206.0510 204.8149 203.1339 200.9118 199.0559 196.7463\n",
              "[209] 194.7242 192.8831 191.3210 189.4163 187.2984 186.2144 185.0188 183.6185\n",
              "[217] 181.6061 179.6847 177.9139 176.6752 175.6238 174.5705 173.2132 171.8565\n",
              "[225] 170.6228 169.6272 168.3401 167.0822 166.2201 165.3263 164.1054 163.0278"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 15,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "library(PerformanceAnalytics)"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Warning message:\n",
            "\"package 'PerformanceAnalytics' was built under R version 3.5.3\"\n",
            "Attaching package: 'PerformanceAnalytics'\n",
            "\n",
            "The following object is masked from 'package:graphics':\n",
            "\n",
            "    legend\n",
            "\n"
          ]
        }
      ],
      "execution_count": 16,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Create Rolling Windows\n",
        "apply.rolling(AAPL$AAPL.Adjusted, width=20, FUN = \"mean\")"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "              calcs\n",
              "2018-01-02       NA\n",
              "2018-01-03       NA\n",
              "2018-01-04       NA\n",
              "2018-01-05       NA\n",
              "2018-01-08       NA\n",
              "2018-01-09       NA\n",
              "2018-01-10       NA\n",
              "2018-01-11       NA\n",
              "2018-01-12       NA\n",
              "2018-01-16       NA\n",
              "2018-01-17       NA\n",
              "2018-01-18       NA\n",
              "2018-01-19       NA\n",
              "2018-01-22       NA\n",
              "2018-01-23       NA\n",
              "2018-01-24       NA\n",
              "2018-01-25       NA\n",
              "2018-01-26       NA\n",
              "2018-01-29       NA\n",
              "2018-01-30 169.7210\n",
              "2018-01-31 169.4859\n",
              "2018-02-01 169.2693\n",
              "2018-02-02 168.6594\n",
              "2018-02-05 167.7583\n",
              "2018-02-06 167.2073\n",
              "2018-02-07 166.4874\n",
              "2018-02-08 165.5557\n",
              "2018-02-09 164.6682\n",
              "2018-02-12 164.0005\n",
              "2018-02-13 163.4563\n",
              "2018-02-14 162.9186\n",
              "2018-02-15 162.6477\n",
              "2018-02-16 162.3884\n",
              "2018-02-20 162.1718\n",
              "2018-02-21 161.9152\n",
              "2018-02-22 161.8657\n",
              "2018-02-23 162.1142\n",
              "2018-02-26 162.5128\n",
              "2018-02-27 163.0559\n",
              "2018-02-28 163.6340\n",
              "2018-03-01 164.0373\n",
              "2018-03-02 164.4826\n",
              "2018-03-05 165.3121\n",
              "2018-03-06 166.3294\n",
              "2018-03-07 166.9483\n",
              "2018-03-08 167.8304\n",
              "2018-03-09 169.0748\n",
              "2018-03-12 170.3118\n",
              "2018-03-13 171.1554\n",
              "2018-03-14 171.8445\n",
              "2018-03-15 172.3959\n",
              "2018-03-16 172.6417\n",
              "2018-03-19 172.7820\n",
              "2018-03-20 172.9477\n",
              "2018-03-21 172.9574\n",
              "2018-03-22 172.7790\n",
              "2018-03-23 172.2629\n",
              "2018-03-26 171.9599\n",
              "2018-03-27 171.4687\n",
              "2018-03-28 170.8998\n",
              "2018-03-29 170.5469\n",
              "2018-04-02 170.0811\n",
              "2018-04-03 169.6691\n",
              "2018-04-04 169.4218\n",
              "2018-04-05 169.3128\n",
              "2018-04-06 168.8944\n",
              "2018-04-09 168.4091\n",
              "2018-04-10 167.9951\n",
              "2018-04-11 167.6271\n",
              "2018-04-12 167.4169\n",
              "2018-04-13 167.2253\n",
              "2018-04-16 167.1178\n",
              "2018-04-17 167.2615\n",
              "2018-04-18 167.3886\n",
              "2018-04-19 167.4634\n",
              "2018-04-20 167.3104\n",
              "2018-04-23 167.3250\n",
              "2018-04-24 166.8446\n",
              "2018-04-25 166.6154\n",
              "2018-04-26 166.5049\n",
              "2018-04-27 166.2380\n",
              "2018-04-30 166.1686\n",
              "2018-05-01 166.2033\n",
              "2018-05-02 166.4458\n",
              "2018-05-03 166.6457\n",
              "2018-05-04 167.4008\n",
              "2018-05-07 168.1393\n",
              "2018-05-08 168.7649\n",
              "2018-05-09 169.4941\n",
              "2018-05-10 170.2712\n",
              "2018-05-11 170.9842\n",
              "2018-05-14 171.6223\n",
              "2018-05-15 172.0582\n",
              "2018-05-16 172.5990\n",
              "2018-05-17 173.3278\n",
              "2018-05-18 174.3693\n",
              "2018-05-21 175.4990\n",
              "2018-05-22 176.7180\n",
              "2018-05-23 177.9612\n",
              "2018-05-24 179.1663\n",
              "2018-05-25 180.4853\n",
              "2018-05-29 181.6272\n",
              "2018-05-30 182.5619\n",
              "2018-05-31 183.1005\n",
              "2018-06-01 183.7889\n",
              "2018-06-04 184.2160\n",
              "2018-06-05 184.6508\n",
              "2018-06-06 185.0749\n",
              "2018-06-07 185.4095\n",
              "2018-06-08 185.5268\n",
              "2018-06-11 185.6563\n",
              "2018-06-12 185.8589\n",
              "2018-06-13 186.0680\n",
              "2018-06-14 186.1965\n",
              "2018-06-15 186.2873\n",
              "2018-06-18 186.4065\n",
              "2018-06-19 186.3113\n",
              "2018-06-20 186.2789\n",
              "2018-06-21 186.1366\n",
              "2018-06-22 185.9782\n",
              "2018-06-25 185.6637\n",
              "2018-06-26 185.4934\n",
              "2018-06-27 185.3295\n",
              "2018-06-28 185.2623\n",
              "2018-06-29 185.0106\n",
              "2018-07-02 184.7825\n",
              "2018-07-03 184.3218\n",
              "2018-07-05 183.9008\n",
              "2018-07-06 183.6314\n",
              "2018-07-09 183.5765\n",
              "2018-07-10 183.5333\n",
              "2018-07-11 183.3174\n",
              "2018-07-12 183.3336\n",
              "2018-07-13 183.3596\n",
              "2018-07-16 183.4612\n",
              "2018-07-17 183.5942\n",
              "2018-07-18 183.8252\n",
              "2018-07-19 184.0892\n",
              "2018-07-20 184.3826\n",
              "2018-07-23 184.7108\n",
              "2018-07-24 185.2422\n",
              "2018-07-25 185.7520\n",
              "2018-07-26 186.2451\n",
              "2018-07-27 186.5139\n",
              "2018-07-30 186.7495\n",
              "2018-07-31 186.9020\n",
              "2018-08-01 187.7646\n",
              "2018-08-02 188.8435\n",
              "2018-08-03 189.8258\n",
              "2018-08-06 190.7330\n",
              "2018-08-07 191.5553\n",
              "2018-08-08 192.5056\n",
              "2018-08-09 193.3814\n",
              "2018-08-10 194.2120\n",
              "2018-08-13 195.1291\n",
              "2018-08-14 196.0631\n",
              "2018-08-15 197.0727\n",
              "2018-08-16 198.1613\n",
              "2018-08-17 199.4813\n",
              "2018-08-20 200.6885\n",
              "2018-08-21 201.8069\n",
              "2018-08-22 202.8365\n",
              "2018-08-23 203.9176\n",
              "2018-08-24 205.1902\n",
              "2018-08-27 206.6030\n",
              "2018-08-28 208.0838\n",
              "2018-08-29 209.1760\n",
              "2018-08-30 210.0802\n",
              "2018-08-31 211.0830\n",
              "2018-09-04 212.0688\n",
              "2018-09-05 213.0773\n",
              "2018-09-06 213.8934\n",
              "2018-09-07 214.5408\n",
              "2018-09-10 215.0726\n",
              "2018-09-11 215.8101\n",
              "2018-09-12 216.3675\n",
              "2018-09-13 217.1636\n",
              "2018-09-14 217.6816\n",
              "2018-09-17 217.6963\n",
              "2018-09-18 217.8332\n",
              "2018-09-19 217.9972\n",
              "2018-09-20 218.2424\n",
              "2018-09-21 218.3492\n",
              "2018-09-24 218.5772\n",
              "2018-09-25 218.7864\n",
              "2018-09-26 218.8219\n",
              "2018-09-27 218.9189\n",
              "2018-09-28 218.9538\n",
              "2018-10-01 218.9356\n",
              "2018-10-02 218.9809\n",
              "2018-10-03 219.2369\n",
              "2018-10-04 219.4777\n",
              "2018-10-05 219.6249\n",
              "2018-10-08 219.8928\n",
              "2018-10-09 220.0415\n",
              "2018-10-10 219.8096\n",
              "2018-10-11 219.2207\n",
              "2018-10-12 219.1355\n",
              "2018-10-15 219.1099\n",
              "2018-10-16 219.3024\n",
              "2018-10-17 219.4413\n",
              "2018-10-18 219.2438\n",
              "2018-10-19 219.3251\n",
              "2018-10-22 219.3182\n",
              "2018-10-23 219.3448\n",
              "2018-10-24 219.0823\n",
              "2018-10-25 218.8288\n",
              "2018-10-26 218.3640\n",
              "2018-10-29 217.6245\n",
              "2018-10-30 216.8377\n",
              "2018-10-31 216.1873\n",
              "2018-11-01 215.9032\n",
              "2018-11-02 215.0755\n",
              "2018-11-05 213.9835\n",
              "2018-11-06 212.8461\n",
              "2018-11-07 212.5305\n",
              "2018-11-08 212.2729\n",
              "2018-11-09 211.4395\n",
              "2018-11-12 210.3311\n",
              "2018-11-13 208.8909\n",
              "2018-11-14 207.2298\n",
              "2018-11-15 206.0510\n",
              "2018-11-16 204.8149\n",
              "2018-11-19 203.1339\n",
              "2018-11-20 200.9118\n",
              "2018-11-21 199.0559\n",
              "2018-11-23 196.7463\n",
              "2018-11-26 194.7242\n",
              "2018-11-27 192.8831\n",
              "2018-11-28 191.3210\n",
              "2018-11-29 189.4163\n",
              "2018-11-30 187.2984\n",
              "2018-12-03 186.2144\n",
              "2018-12-04 185.0188\n",
              "2018-12-06 183.6185\n",
              "2018-12-07 181.6061\n",
              "2018-12-10 179.6847\n",
              "2018-12-11 177.9139\n",
              "2018-12-12 176.6752\n",
              "2018-12-13 175.6238\n",
              "2018-12-14 174.5705\n",
              "2018-12-17 173.2132\n",
              "2018-12-18 171.8565\n",
              "2018-12-19 170.6228\n",
              "2018-12-20 169.6272\n",
              "2018-12-21 168.3401\n",
              "2018-12-24 167.0822\n",
              "2018-12-26 166.2201\n",
              "2018-12-27 165.3263\n",
              "2018-12-28 164.1054\n",
              "2018-12-31 163.0278"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 17,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "AAPL$AAPL.SMA <- apply.rolling(AAPL$AAPL.Adjusted, width=20, FUN = \"mean\")"
      ],
      "outputs": [],
      "execution_count": 18,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "tail(AAPL)"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "           AAPL.Open AAPL.High AAPL.Low AAPL.Close AAPL.Volume AAPL.Adjusted\n",
              "2018-12-21    156.86    158.16   149.63     150.73    95744600      148.9446\n",
              "2018-12-24    148.15    151.55   146.59     146.83    37169200      145.0908\n",
              "2018-12-26    148.30    157.23   146.72     157.17    58582500      155.3083\n",
              "2018-12-27    155.84    156.77   150.07     156.15    53117100      154.3004\n",
              "2018-12-28    157.50    158.52   154.55     156.23    42291400      154.3795\n",
              "2018-12-31    158.53    159.36   156.48     157.74    35003500      155.8716\n",
              "                SMA AAPL.SMA\n",
              "2018-12-21 170.3580 168.3401\n",
              "2018-12-24 169.0850 167.0822\n",
              "2018-12-26 168.2125 166.2201\n",
              "2018-12-27 167.3080 165.3263\n",
              "2018-12-28 166.0725 164.1054\n",
              "2018-12-31 164.9820 163.0278"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 19,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot(AAPL$AAPL.Adjusted,type=\"l\",col=\"red\")\n",
        "lines(AAPL$AAPL.SMA,col=\"green\")"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAOVBMVEUzMzNxcXGGhoaWlpaj\n",
              "o6Opqamurq64uLjCwsLKysrS0tLZ2dng4ODn5+ft7e3z8/P19fX/AAD////WwRhDAAAACXBI\n",
              "WXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2diYKbOhJF6e4k/bL2wP9/7HhhkUAISVUly/ic\n",
              "mZd44epi0Gls7Ha6AQDEdI9eAYAzgEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgA\n",
              "CiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAA\n",
              "IgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiAS\n",
              "gAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEo\n",
              "gEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKI\n",
              "BKAAIgEogEgACjxapEf3A6igOZF/dF33bXulu/P++XW/sgS+Pt+6t8/SdLB2mJYKLrpkwjfH\n",
              "QwC7aE6c24zfXukm3r78qfrv7XbzR1k6XDveEHfiz9vOfYh0zL/LD66PP9dLfz4uP8H+jDd/\n",
              "3rfc9baPP8vSoWXW9ywj3vnq3kuqlnvWA/56795/rpbRRnHUP7cZ/WdzZVah+/Sn6uXh/rr8\n",
              "r/uvKB2sHcZIfE13F0CkQ/510/b+ul/6e7v5877lft9v+z0tHVpmfc8y4siv+4zIrFruWQ/4\n",
              "63b1p7eMOoqjXlbx2226r66Ms/PycN78qXq9fPnf/edPdjpYOziRfRCpnB/XTf153Wc/r5d+\n",
              "3Cf9j3HLvV+n75/piBJeZn3PMuLIx2hMXtVyz3rA65K/r9NnsxKKKI763nVf3bi+7hXnSVpI\n",
              "pNJ0MHh50fXja1l0XP7+15+Lb92Pv9NBblz87fbiy01CjLdxiw7Dt+t8/3t7efr29qebb5/+\n",
              "vBJaZn3P2yozTDszr2q5ZzPgcnW1Eorojfrv+pL/Mlf/ra/sHlMuz3F/dMXpUPDj9mIqLNKv\n",
              "bjrizyLdX6NdX3y5STjm+uPema+f00T9dj9MzOd+Qsts7plHvPPbe3qRXLUucI9V86CfG8G0\n",
              "0Bv15+UVz3W2/lxf2X2Vc3t18+13YTpQe7n88XVzIiDS21W2P7cnkuPN/12t+nl7jeYm4ZDf\n",
              "183tHxLGvz/HPTW4t66WCdxzH/HOD+8Fb3LVqsAZcLha9y2wjCZ6o35cJ+rXeBLOvTKbMF5Z\n",
              "Ir9vh4SPr7L0tvaju/+UCoq0vN6cbv64/XWLukk44t/bfWcMw2Z2f7v9cJyXTBXpPuJ4z1tR\n",
              "lV/gDnjh831esnmR7icNrq9YVlcmEdxzBxO/pp8qRel17cob/4bbdv/47QwzO7p6MQVxxkka\n",
              "mt2f1x9W11MD83bdLBO6x532fzrnTb6MKneJ2b9lh/6aDl6ti/R7npa/V1e82bmeqt3f24uf\n",
              "wnR42bBIw8/31YENkYr4O876cZONxw/vDMDbShd3mcA9f93Dx6dzRjunarltzrkiBQ+LiqiN\n",
              "+mOelj9WV+Ii3W8pTIeX3RHp8nPqv7fbk4GtNoiUzK/pSdL7ciptWM3ueSuGltnc88t7gua8\n",
              "WZ5V5VzzB7yM+DU8j0hv84x+W13ZVeGy1E2kdSAtHaj9Fn6N9G+J/XP9+hjP9Q1+EmL8mT6J\n",
              "cjl03H7ojS8871vuW/fr+nxrPsCEllnfs4x45d/yzC6varnHH/Cavp1O+rFdCUW0Rv3bjSt6\n",
              "nZLelY0K8/Opz+snG/5dXyOVpG9/+Mv+up65+HLO2n1cBx9veL8u8Xd11u7HVZ5vg5eEGB/z\n",
              "Dvh7v3B/G26cn+Ntf6elQ8us71lGvPLf8swur2q5xx9wGL5uP23f/m1XQhGtUf+7noW+cv3I\n",
              "j3dlX4Wvt+lQUpK+/eEvu3kf6edt2Xd3Z1yPPNfngxf/vt67eQvzPlIiyw7wP+w2brm/l59o\n",
              "35zJHVpmdY8z4nD9eVdaNd/jDzjcP3v345+f1kZr1Pfp58XlCPPuXdlXYfz091dZuhsPM86y\n",
              "t4PcD/fp28/3a8H98r8fb/dPNgz/vo3nTf97n7fwkgTI59ETx6wfJ6Amj55tVv3jEQqgDo8W\n",
              "yYjrx0c+jxcDUOKkIn0sv3kLUIGTigRQF0QCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlA\n",
              "AUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRA\n",
              "JAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQC\n",
              "UACRABRAJAAFtET6XjdYXCdJS0ofkpVtpcIRLpG+r1cnTcu30R1EqlP6YiIVmoRIiNRiFpGs\n",
              "KxcQqU4pIhnVSdOIJACRDEdAJBGI1GAWkawrFxCpTikiGdVJ04gkAJEMR0AkEYjUYBaRrCsX\n",
              "EKlOKSIZ1UnTiCQAkQxH+H71CJFKQaQGs4hkXbmASHVKEcmoTppGJAGIZDgCIolApAaziGRd\n",
              "uYBIdUpfS6TSX6RAJERqMYtI1pULiFSnFJGM6qRpRBKASIYjIJIIRGowi0jWlQuIVKf0hUS6\n",
              "SoRIpSBSg1lEsq5cQKQ6pYhkVCdNI5IARDIcAZFEIFKDWUSyrlxApDqliGRUJ00jkgBEMhwB\n",
              "kUQgUoNZ6SQp+vApIolApAazwknSF32M+xZBpFIQqcGsaCvdLEKkVBCpTunTiXQ/GpWKVGgS\n",
              "IiFSi9ny0ulJHSKlgkh1Sp9LpPnFESKlgkh1Sp9NpPWF3CwiFYJIDWYRybpyAZHqlL6QSKXB\n",
              "AZEGRGoy+wiRyl9cDYg0IFKT2YeI9L0weAWREKnF7ANE6tciZY2ASIjUYlYu0vdck/phI1LG\n",
              "CIiESC1m64vUI5IQRGowqy/SkRX9gEgyEKnBbGlwmftbkeJaIJIURGowW12kfhZpHgOR8kCk\n",
              "BrP1RRoQSQgiNZitLVKPSGIQqcFsZZHu9yGSCERqMItI1pULiFSn9AVE6hFJAURqMFtbJLd0\n",
              "/vAqImWBSA1mEcm6cgGR6pQ+k0jO1A+ItOdFj0gaIFKDWQWRVh8KiorklSJSGYjUYBaRrCsX\n",
              "EKlOKSKlgEiI1GIWkawrFxCpTukLitQfBAKcUqTuwuaC/vogkl32kSLN33n8rCLlzf99kbrp\n",
              "zu2FrPU5ApHssg8VaRi/hf9JRcqc/7v3dNOf2wtZ63MIItlly4LuzHdFOjjAbES6L/2kIuXO\n",
              "/4PXSJ1zAZFeXqToASYg0pD7L8O0I9Kd9PmPSJVKzyHS/aAUj61LEckfB5EQ6dVEypj/eiLB\n",
              "Wej78LWbSOu792LHt7dCBZG8cTgicUR6sSNSzvyPieSPg0iI9FoiZc3/lBPj3Xa4nPU5AJHs\n",
              "skVBb+J/97+h7pVEypv/CXcEnijmrM8RiGSXRaTyUOb8339D9o5zgY8IIdLtctiM+dZ0kbb3\n",
              "tCNS7vznQ6uVShEpFFnf1Y5I2SBSnVJECkUQaQMiNZitJpL7SSCBSDkvpwIgUsU6Sfo1RZpv\n",
              "iIrUx0Vafs3PT22GKVljd2XrhAIgUp3Slxdp+jU/P7UZpmSN3ZWtEwqASHVKEWkYECkBRGow\n",
              "ayNSwCREQqRKpYg0LeeFNsOUrLG7snVCARCpTumpRepjIg33j0MgUhqI1GC2JOjP5btI8ym3\n",
              "XZEGRFIaB5EazOqINCBSAohUp/T5RVredC0TqffGGBApDCI1mNUWKbjIgEhXEKlO6XOLtHr7\n",
              "aDXfneduoVJEygGRGswqiTQYibQ5tCESIjWZrSrSbumOSP1GpO0hKg9EqlgnSb+wSP2RSJHS\n",
              "sEirIccaREKkBrNaIq1nvb9MXybSZhxEuoJIDWaNRQqfDd8Ryf1rCiHSFkRqMGsuUuj92SSR\n",
              "gklEGhCpyayiSP6ZgflzCvOfkdKgSNM9/qiIhEgtZguCO1ZERTooXQyaD2y9I1LsM0N5IFLF\n",
              "OkkakfylikVyztwh0gpEajDbqEj+W0mI5IFIDWY1Reo3IvXj20uIdAWR6pQ+uUhDRKSj0uUJ\n",
              "HSIdg0gNZhHJKBQAkeqUPolIu8/TVpPcf7oWL90XyX/GGBosC0SqWCdJv7JIw45I24MIIolA\n",
              "pAazVUQ6LPVFGnx3EGkFIjWYtRSpd9yIlyJSDojUYFZXJH+5LJFcgxApCiI1mNUUab2c85bs\n",
              "QWQWBJESQKQGswUiJY6gKVK/Xq4URKpYJ0mfX6TjU3Dzgojkg0h1Sp9EpMwRCkVy84jkg0gN\n",
              "ZuPBrQUJZw4KShEpB0RqMJstkkZ1pkgDInkgUoPZTJFSnqcVlDoirWsRaQMiNZg9FMmft4FZ\n",
              "rCrSXOtdRiQPRGowi0hGoQCIVKe0UZHWn59TqEYkEYjUYPZIJH/ihiYxIqWCSHVK2xcpOIkR\n",
              "KRVEqlPaqkjOpFaqRiQRiNRg9lAkZ+aG5zAipYJIdUqbFalfruhUbyP+SY21SIOzCoiESC1m\n",
              "j0UaHiGSd898g3+ALAGRKtZJ0icWKfTp08LqI5FW9yCSDyI1mE0Syfn0jko1IolApAazCSIN\n",
              "iKQDItUpbVuk3ZmOSKkgUp3S9kRyTzPsTuAaIjlGIxIitZhNEmnzmTthdSCCSOkgUoPZNJEi\n",
              "Rwx7kfw/EQmRWswmiqRbnSOSuyaIdAORGsw+nUjfRSYhUsU6SRqRCksRKR1EajD7JCItn7FA\n",
              "JERqMduOSPEIIi0gUoPZVkQ6ApEWEKnBLCIZhQIgUp1SRIqASAuI1GAWkYxCARCpTikixZje\n",
              "jEUkRGoxi0hGoQCIVKcUkWIg0gwiNZiNBdOmbD2RbuuDSIjUYhaRjEIBEKlOKSLFQKQZRGow\n",
              "+zQiTb8ShUiI1GIWkYxCARCpTikiRRk/H45IiNRiFpGMQgEQqU4pIkVBpAlEajCLSEahAIhU\n",
              "pxSRkrKIhEgNZhHJKBQAkeqUtiZS4oxFpFQQqU4pIiVlEQmRGswiklEoACLVKUWkpCwiIVKD\n",
              "WUQyCgVApDqliJSURSREajCLSEahAIhUpxSRkrKIhEgNZhHJKBQAkeqUIlJSFpEQqcEsIhmF\n",
              "AiBSndLmRDKrRiQRiNRgdj+YOmERKRVEqlPamkh21UoiHf3jZFrNiCTg5UVKnqSIlAoi1Slt\n",
              "SqT0OYpIqSBSnVJESsp6IuWahEgV6yRpRDKKLFlEQqQGszvBjCmKSKkgUp3StkSyrEYkEYjU\n",
              "YPa5RcpZz/JmRBKASIbViCQCkRrMhoM58xORUkGkOqUtiWRbjUgiEKnBbDCYNT0RKRVEqlP6\n",
              "WJHcKZk1OxEpFUSqU/pokfrpz7zZiUipIFKd0oeK1LsiWVcjkghEajA7Bqc52edPTkRKBZHq\n",
              "lD5UpGEWqcLcRCQRiNRg9h7sEUk7FACR6pQ+TqTRoaHWx9cQSQQiNZi9Bu+zMf98XXG17JHO\n",
              "K4lIVYKIlBocJ2PBvCysRiQRiNRg9vtyGEIkzVAARKpT+jCRxouIpBkKgEh1Sh8kkmReFlbr\n",
              "iFTyog6RKtZJ0s8nkugkWGE1IolApAazst/cLqxGJBGI1GD2CUWa7EGkOkFESgqKvkq7sBqR\n",
              "RCBSg1lEMgoFQKQ6pYiUmEWkqkFESgoikk0oACLVKUWkxCwiVQ0iUlIQkWxCARCpTikipWbL\n",
              "P66OSBXrJGlEMop4WUSqGUSkpCAi2YQCIFKdUkRKzS4iVfimFkQqrZOkEcko4mURqWYQkZKC\n",
              "iGQTCoBIdUoRKTWLSDWDiJQUfEaRvK89sm9GJAGIZFiNSCIQqcEsIhmFAiBSnVJESs6eTaTu\n",
              "wnRh8C9org8i2WURSRDKm//7InXTndsLWetzBCLZZZ9XJOfUnXHzXihz/u/e001/bi9krc8h\n",
              "iGSXFXv0uiLlzv+D10iIpFWKSOnZ+avDHv4aCZFM0ohkFFlll+/gy3sA7Yq0PCtEJGEpIqVn\n",
              "mxEpY/7riQTt0fePXoMiLqs9rnmNB1BBpG5ZgCOSsJQjUnq2lSNSzvyPidT5fyISIhlFVtlG\n",
              "RMqa/8cnxhFJpRSR0rPL1ys/UqS8+Z9wB2/IapQiUka2BZEy5//+G7J3xovzbdnrcwgi2WUR\n",
              "qTiUO//50GqlUkTKyDYgUjaIVKcUkTKyiFQtiEgpIJJRKAAi1SlFpIwsIlULIlIKiGQUCoBI\n",
              "dUoRKSO7rHfWI0CkinWSNCIZRfaziGQcRKQUEMkoFACR6pQiUlEWkYyDiJQCIhmFAiBSnVJE\n",
              "KsoiknEQkRKQe4RIySBSnVJEKsoiknEQkRJAJKtQAESqU4pIRVlEMg4iUgKIZBUKgEh1ShGp\n",
              "KItIxkFESuAEImU9BkSqWCdJI5JRJJJFJNsgIiWASFahAIhUpxSRyrKIZBtEpAQQySoUAJHq\n",
              "lCJSWRaRbIOIlAAiWYUCIFKdUkQqyyKSbRCREkAkq1AARKpTikhlWUSyDSJSAohkFQqASHVK\n",
              "Eaksi0i2QURKAJGsQgEQqU4pIhVmMx4EIlWsk6QRySgSyyKSaRCREkAkq1AARKpTikiFWUQy\n",
              "DSJSAohkFQqASHVKEakwi0imQURKAJGsQgEQqU4pIhVmEck0iEgJIJJVKAAi1SlFpMIsIpkG\n",
              "ESkBRLIKBUCkOqWIVJhFJNMgIiVwCpEyHgUiVayTpBHJKBLNIpJlEJESQCSrUABEqlOKSKVZ\n",
              "RLIMIlICiGQVCoBIdUoRqTSLSJZBREoAkaxCARCpTikilWYRyTKISAkgklUoACLVKUWk0iwi\n",
              "WQYR6Zi+l08SREoFkeqUIlJpFpEsg4h0DCKZhQIgUp1SRCrOJpuESBXrJGlEMorEs4hkGESk\n",
              "YxDJLBQAkeqUIlJxFpEMg4gUpndm3clEOvYJkSrWSdKIZBSJZ2eRjkxCpIp1kjQiGUXiWUQy\n",
              "DCJSmN6ZbmcRaTQJkSyCiBQGkXQq80GkOqWIVJ5FJLvg84p0PB8kvZfB5/ERqbwyH0SqU1pH\n",
              "pOvYiKRQmQ8i1Smdsj0iZWdvjyhhwyFSxTpJGpGMIgdZRLILIlKQc4o0PayjLYdIFeskaYUp\n",
              "0ifMB0EvImlVZoNIdUpnkQq+SgGREMkqiEghxhcT8zVEKq7MBpHqlCKSIItIZkFECnFikVI2\n",
              "HCJVrJOkEckocpRFJLPgk4o0vUdv1OsPj0iCymwQqU5pDZFWv0qKSILKbBCpTmlIpFShEKlf\n",
              "PWtVbEYkAc2IlGYSIiGSVRCRFpyzC951RBJUZoNIdUpHke5/zl9CoCSS/1QRkRQqs0GkOqW3\n",
              "rG+Qrkj92idEklRmg0h1Su8ijVf6/v7hVTWRRqbr09+IVFyZDSLVKb1mnXnQTy4V9/bz6621\n",
              "k4ikUJkNItUpvYnk3iAUaTwChQZBJIXKbBCpTun34DQoFmmUyH1GtxkUkQSV2SBSndLvwVlQ\n",
              "KtL0tC74QguRFCqzQaQ6pd+H0CRIO9+wJ9LeCPPJwbOJdGASIlWsk6RFUyQ4B0LPzFJ6/dMW\n",
              "O3efR6T5xwUiaQefUKSdOzJF6tfPcYImIpK4MhdEqlO6OwXyRepXIu0Nei6Rxr/VmxFJQH2R\n",
              "9meAVKSdUW//IVJ5ZS6IVKVUS6R+egP2uK9HJEllLohUpVRPpCFJpPvUQ6TyylwQqUppdZFu\n",
              "T+4QqbwyF0SqUhqZAcdSLL19ukh+sBRESgWRqpSqiTS8tEjxB45IFesk6WZESvQIkQSVuSCS\n",
              "IJb+L0voiJT5C4GIJKjMBZEEsfoija2IpNaMSAKeW6T0WkQqr8wFkQSx9GNDVKSjj64iEiJZ\n",
              "BU8k0rFJ35cFvb8PQaTyylwQSRCLGeDfk/JRhMPeZTYhklozIgnQE2n/oOQ5lvBBbESKZBHJ\n",
              "KtiMSHu/o+r/GriKSD0ixU1CpIp1knRYpOlzO713x3Tj9KpGRaRl9MIVzgaRUkEkQcx5wrEW\n",
              "ab6Q+jt2iBTJuk+SlZsRSYCSSO6PyR2RBj2R0n4qB4ISGhFpAZF0g22LtDlhpyNS6nqughIQ\n",
              "KRVEKo/tiLT+cPbtXkTSySKSbrBFkZZzaqu9fb0BkXSyiKQbbFekzeslRNLMIpJusC2RhvE7\n",
              "SW4Xt2fVhCIthuaCSBqVaSBSeSwk0niSbrVcylfM7U6RpC9HDIJIGpVpIFJ5bC3SzaFQUCRS\n",
              "2reMBjmhSCkfpdKuTAKRymOrd4um/7b0KV8xh0iINLykSM4uPf52H7FIBR4hkk5lEohUHNuK\n",
              "JNrJO/EekTwQSTXYnEj3P01ECp7ASAKRVCqTQKTi2GaXys4ohUXqEckHkVSDTYokq9wTKXxK\n",
              "XanUYISHiVSyhRCptE6S9mN5+y1NpO2QiLQiJlKJSYgk4HlE6hFpBSKpBk8pUmDIxSFEuoNI\n",
              "qsETihQaskekNYikGnwFkebnevsfmdAo1R4BkUS8nEiZey2t0hsUkUIgkmrwpCINiHQEIqkG\n",
              "TytSH7gc+F1B1VLdER4lUvr3R+dWJoFIZbHcvZZaufpE+XTbo95sRKRUEKkslrvTSkRaLpXN\n",
              "EUTSqUwCkcpitUXKa8ssVR0BkUQgkk7lfH6hR6QgiKQafLRI2fssuRKR4jyjSON9Xbe+oLk+\n",
              "TylS/i4TipRbl1mqOcJ5RMqZ/zGRxlg3LdXFFn8xkewql7eOnJsQaaaeSFnzP3pPtyzQORcy\n",
              "1+eAZxSpYI9liLT5ZB0iOexti9L3CHYr8+Z/9A5E2omZfn50K1LlbSsc4SQiZc7/hNdI3eAe\n",
              "1RDJ+oPYiBSl2hEpb/5nnGxApDFmfHJo+V2+/GxxqeIIZxMpbf7rHZFeh956/P7+H4TY2zKX\n",
              "28s2ms78PxaJ10irmPmndTY/WzkiOdQ+Iqm9RkIkP2b/3ujmo3WI5IBIqsEzi7R5RwSRHHa2\n",
              "v8XvbBmdteMNWUSyLm1QJPkbsnxEKBhDJMPSFkWSf0RIa30sgoikXao2grFIOzvggb+OfweR\n",
              "MmM1PoiNSBEQSTOISOqlWiNUFmm8ikiItGXVgUguG5Ee/U1LdxApM/aA37FDJBdE0gwiknVp\n",
              "8QgPEWn7SV/NyhQQKTOGSIaliIRINpWyLCLpVKaASJkxRDIsLROpR6TiICJZlxaPgEgiEMmk\n",
              "UpZFJJ3KFE4kUvp2RCTDERBJRBMipW5IRDIcAZFEIJJJpSz7KiI5b8qaVKZwHpEyviAQkQxH\n",
              "qC7SgEjlwZBI6RsSkQxHQCQRDxcp53f2EclwBEQS8XiRMjYkIhmOgEgiWhApeUsikuEI9UUa\n",
              "EKk4uEllnf9EJMMREEnEw0W6/YFIaqXFIzxEpNA9epUpnESkvB9JApEKPUIktWz4V80D9+hV\n",
              "pnAWke5/IpJaafEIiCTisSJlHtsRyXAERBLxUJGmLYhIeqXFIyCSiCZESt2UiGQ4AiKJQCST\n",
              "SlkWkXQqU0CkvFJEsizNF8m9hkjSFCLplxaPgEgiEMmkUpZFJJ3KFM4lUuK2RCTDERBJRK2d\n",
              "PW4sRLIuLR4BkUTUE6nfphBJv7R4BPNH6u0CRCoMHoqU8gvniGQ4wiNFKtg5zyRSdHLni9Rv\n",
              "UoikX1o8gv0j3TsKfT+5SPHJnf8a6ToYIlmXFo+ASCKiIsWmX94DmX6Na0+kIekAH1/ZaAyR\n",
              "LEsR6VCk3YeYL9IQFylhrscPn9EYIlmWikXK3zvPJVJk/hWIdPkzLtLR5jx4HhqLIZJlqVCk\n",
              "kr2DSJtb965mdSKSdAREEnEekfbjiGRdikiHr9+jszOZcZRDkQ62JyIZjvBYkbJ3z7OJNFQU\n",
              "6XC2I5LhCBUeqbMTfJEKds/zibTzEBHJLotIapWHVBNp7zHaiBTfnohkOMKDRcrdP88n0s6T\n",
              "OwWRthsPkcSlxSM8VKT8/fOMIgUfY84DWUb6Pl0InxI0E6nUI0TSzL64SOFDkkSkvrZIRZ8v\n",
              "Pqq0yyKSWuUhVUUKPchykWaLQiJFt2epSOUeIZJm1nmO85IiBed3iUjje7zTG1SBUa1ESlvP\n",
              "vEq77PlF6tciZZvUvki983Njc1ssuI8r0jQUItmUFo9Q45HO+/5FRAq8g7R5nBkPxDu07Rze\n",
              "lwUiAyGS4Qj1RLruZHePnFmkzaeD9ETaXgwvGwCRDEeoKVIgfUaRxgMDIsUr7bKIpFd5hK1I\n",
              "y2HJuzUe3CUo0s6zuOhzu/3O8Nn0KYZIxqVZIm128ZlFWr8erCZSdIPudu68LTXFEMm4NFOk\n",
              "UPqsIq0fmUCknbN/iiIFXtN5MUQyLs0RabvfzynSzgOqKNL+Jt0XadWziiGScWmeSME0Ih2S\n",
              "J1LsVdJOZ/gY6sQQybg0ORs8J4RIaeyKlBBI6Qy9g+zHEMm4NEOkvff2EemQzZvYOYHjTveM\n",
              "+k4MkYxLs0QKp19FpPDJ/yRsRfLOA+7EEMm4FJHOINJhDpGsSxFpsz67j6dRkVJedSGSdWmO\n",
              "SDtpRDrEWKTjHCJZlyLSbX2SzqUhUr0sIilWHqAs0nIG+blE6hFJa4SHPNIlfRqR7o8j/c2d\n",
              "nPfgMlNZIiXkEMm6FJFGkWaZEOmwskIWkawrF7RFGk1CpMPKCllEsq5cUBdpGOIfGEWkellE\n",
              "sq5cMBEpymopRLLLvqJIuSY1KFLiI2hOpM0zUUSSjIBIIloUad+I1VKIpDgCIokwEGm1ICJV\n",
              "LS0eAZFEmIi0P73lIrkf9k4USeARIplnQyIl7DFEyqkKdPpf6BU5+B3enAQiWWfDIh3ustcQ\n",
              "afeHS7ZImzQiGY2ASCJsXiPt/radtkjRVTy4OQlEss6eRqTUaZYp0rS4skjed7UerOLBzUkg\n",
              "knUWkaILhr+KH5HMS4tHQCQRViLNKiFS3dLiERBJRLpIyUr4L2IQqW5p8QgNiRT7zKdO5YKW\n",
              "SCnrPC/qXkt6Q3YzOiJZlxaPgEgi0j1qQqTdsxh7N0VuTgKRrLMnESljfdoQaUAkmxEaEen+\n",
              "uhqRVsvJRFpvUEQyHKENkXpECi5XJpJ74s9PI5LZCE2I1CNSeLn1BkEk69LiEVoQady9iBRY\n",
              "rqgOkYQ8q0j35zCxL+HRqVx4jEjO40Mku+yrirQ8uzu5SD0iVcm+qEje6QbbyoUXEckf7Pvg\n",
              "bGRE0h2hASFHu5MAAAxQSURBVJHGv4fTi1T/qR0iVRvh8SI5N51apME7m70bjG4DRLIuLR7h\n",
              "0SJ5nF2koapImyfLvkjJ1YhkXYpIzytSqAaRBCM0JdLxPkOk9Jq4SOnViGRdikj5Ik0P8MEi\n",
              "BVsQSTACIonIXZ9mRMqoRiTrUkR6VpHCJYgkGAGRRDyrSDndiGRdikhPKtJeR84rpzQQyTr7\n",
              "siL1B8EqIuV0I5J5KSLlr089kbZn5yaRdisQqXwERBLRpkg7p7lnkbK6Ecm8FJEQ6QBEss6+\n",
              "rkh9PGgp0v57sZFuRDIvRaSC9akrkjfc4T+9h0jlIyCSCESKg0jWWUSK3y+rQyQZiJTKI0Xq\n",
              "o0FEEmcRadpp+/vu+UUaqou0vAmMSHYjNCrS3s5DpOQOV6Sjn0+xbkQyL0UkfZHi0zZDpEWe\n",
              "nX/9L7UckcxLEal9kYbxCwM3H7xLLkck81JEKlqf6Jy2EWnSKWHNtrc9aoogkiA9PQc5v0g7\n",
              "j9BCpOlvRDIcoTGRhtcQaX9Sm4kU6YyWI5J9qYlI94+DnV2kXWF0RHKsif2jsSnliGRfaiHS\n",
              "0Ed/dp5DpMjrFUORjtOIVD4CIokoFGlfGESSZxHpSvQVxElEGiqKlJNGpPIRmhNpOL1IN+xF\n",
              "KkgjUvkIDYoUO1GLSKnDI1Ld6vZEir7jcXaRDs6sIZJ1afEIiCTibCJtU4hkX2okUuxfZUak\n",
              "1OFLRAq9OkUk+1IrkSLzCZFShy8SKWASItmXItLpRNqqhEj2pYh0QpFW0csVRLIuRaQziuSv\n",
              "BCJVKLUTaXdCIZJgeEQyHAGRRLQqkiiNSIiUCiJFcFaiR6QKpScVabyv69YXNNfnaUR63BRB\n",
              "JIV0gUg58z8m0hjrpqW62OLKIh397h0iWZcWj3AakbLmf/Seblmgcy5krs8BzYs0fXsGItmX\n",
              "tiRS3vyP3tF5C7yuSNN3tCCSdWlDImXO/+PXSN301PAFRRpmh27rg0jWpQ2JNOTN/wSRpqeG\n",
              "LypSj0j1SlsUKW3+pxyRxj8PRCql79Nvrc7Votu6NLI+UMzuHtSZ/3oiRcaJEvxJcfiFWdWO\n",
              "SOP3HHFEqlLa4hFputi6SMF/YqU1kXpEqlKKSOcVaXyhJC1FJOts6yJZvyHbvkjzbyYhknVp\n",
              "gyLJ35Ct9BEhRLLLItLCAz8ilMU5RbqDSLVK2xIpiyZFOvSoukjiUkSyziISIlllEWkBkXTr\n",
              "StKIVKvUcrfuTKrzibT6nQWjupI0ItUqRSQVkeZH2phIGqWIZJ1FJESyyiKSAyKp1knSiGRd\n",
              "ikiI1GIWkRwQSbVOkkYk61JEUhXp2CNEMi8tHgGRRCBSg1lEckAk1TpJGpGsSxEJkVrMIpID\n",
              "IqnWSdKIZF2KSIjUYhaRHBBJtU6SRiTrUkTSEWn78VX1OkkakaxLTXdreFohkgBEMhwBkUQo\n",
              "ipTgESKZlxaPgEgiEKnBLCK5IJJmnSSNSNaliIRILWYRyeXsIg2zP4iknEUkF0TSrJOkEcm6\n",
              "FJEQqcUsIrkE51XKZEsCkcxjj8sikktYpBMdkaZ/qnVAJOUsIrmEvxv7vCIlHWwRybq0eITn\n",
              "EulMr5EQySqLSC7uxOrnuXZGkZYLdnWSNCJZl1YX6VRn7RDJKotILucXaZYIkXSziOThfbv8\n",
              "NNUQSQAiGY7wLCL1twMSIklAJMMRnkekHpEQyby0eISnEel+FZEEIJLhCIgkQrazx+PsLJNd\n",
              "nSSNSNalFUXSqVxAJPPY47KI5IFIinWSNCJZlyISIrWYRSSPFxBpOq+PSKpZRPJAJMU6SRqR\n",
              "rEsRCZFazCKSByIp1knSiGRdikg6Ijm/JmtVJ0kjknUpIol39iRS4pdRIJJ1afEIiCQCkRrM\n",
              "IpIHIinWSdKIZF1aSyRnliGSAEQyHAGRRMhFuv+JSIpZRPJ4CZHuIJJqFpE8EEmxTpJGJOtS\n",
              "RNITybhOkkYk61JEQqQWs4jkM88uRBLXSdKIZF2KSIjUYhaRfBBJr06SRiTrUkRCpBaziOSD\n",
              "SHp1kjQiWZcikppI1nWSNCJZlyJS7Z2NSNalxSMgkghEajCLSD6IpFcnSSOSdSkiIVKLWUTy\n",
              "QSS9OkkakaxLEQmRWswikg8i6dVJ0ohkXVpJJPddFkQSgEiGIyCSCERqMItIPoikVydJI5J1\n",
              "KSIhUotZRPJBJL06SRqRrEsRCZFazCKSDyLp1UnSiGRdikiI1GIWkXwQSa9OkkYk61JEQqQW\n",
              "s4i0YjQIkeR1kjQiWZciEiK1mEWkFYikVidJI5J1KSIhUotZRFoz/etBWpULiFSnFJGss4hU\n",
              "tU6SRiTrUkRCpBaziLQGkbTqJGlEsi5FJERqMYtIG64Oed/ni0gCEMlwBEQSgUgNZhFpAyIp\n",
              "1UnSiGRdikiI1GIWkTYgklKdJI1I1qUVduvFIkRSqJOkEcm6FJEQqcUsIm1BJJ06SRqRrEsR\n",
              "CZFazCJSgL5HJIU6SRqRrEsRCZFazCJSAERSqZOkEcm6FJEQqcUsIgVAJJU6SRqRrEur7FZE\n",
              "0qiTpBHJuhSREKnFLCKFQCSNOkkakaxLEQmRWswiUgjPo+ZEAnhpEAlAAUQCUACRABRAJAAF\n",
              "EAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACR\n",
              "ABRAJAAFtET63/C/y/+ni+P/xruWK/5d//OuuHdthti7a7wcHD20Tt7KStbp+K7AuofXab4W\n",
              "WadBZ5127zLbdwqbMLCdBuF2Gty7dEAkqwmCSEqbMLCdEKloZyDSgEjedkKkop2BSAMiedsJ\n",
              "kYp2BiINiORtJ0Qq2hmINCCSt50QqWhnINKASN52OrFIHcBToiXAo8cpC8pWuzAtKX1IVr5z\n",
              "C0Z41FYqTD9cAK1xEMkui0jWlQ2Ng0h2WUSyrmxoHESyyyKSdWVD4yCSXRaRrCsbGgeR7LKI\n",
              "ZF3Z0DiIZJdFJOvKhsZBJLssIllX6o8D8NIgEoACiASgACIBKIBIAAogEoACiASgACIBKIBI\n",
              "AAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASg\n",
              "ACIBKIBIAAogEoACiASgACIBKIBIAAoci7S/xPxPQnv/OPR8xbmxG9a3RIt2ltoOKOpL6jRp\n",
              "Da/BclF5w24qj/4xb69V2t+t/o616WzghH+uXH+nCkTqpjs7d6nQrdPqxfvmVd1Z5+2Asr6U\n",
              "TpvW9firi9obNtgY2xHuuoj75x8Kx21KG/ig0KRTINLc4O2Y0K3dsnqxwoNJvR1Q2JfQadS6\n",
              "LXAvqm/YcOH+zPf+7Na35vZ38fsNNnDaI1w/QOEWThRpPOh1ziFuNXi3yngmp4nkPzanctXX\n",
              "bUYp6tvtXPept4YGWYZX37CbQudKN82X9ZOZ1UqV93siTft0HVPdwP4jcZ8nb5bS26lpIs2l\n",
              "y2ZI39/DatX2i9xJ7VVu+mKPPrVvtzO8nxVbQ4MUiFRY2fkXb/+5IySLlNbvTkbPF7MN7G06\n",
              "dy55D71bLy3qTBOp8y4E9/dG9tAGOjzZsGxov3LTt9m9BX27nbuPUqs1sAa7Iils2E1lt26K\n",
              "TB1xf0ggZ2CDDexOme08Wg+htFOTRJpHkol0oLU3qf3KTV/Soz/+MRLpLN7PCa2BNRCJlFk5\n",
              "DOunWOEx3b1d3q8u0uGjTRDJWUppp6aJNE2vXZE2mztwd7ddclu0bHe30qQv3mn1KANrEBPJ\n",
              "onIpns4TB6fOdtiifufRuZPSn8eqj9YTyX+IgcWUtvDxnRutA/t7uzJSkfzK8IDCvv3OlP0s\n",
              "aXWHiIuksmF322PbtpvmYDeElsoU6b5FK21gT6TNjevFlHaqikiB3V1PpOK+/c6E/SxqdceI\n",
              "iqSzYQOtg/+AgyL5ixf3F4okeLTu0Nt5ZNOZIdL6NdKynqHd7T4MfwsetgUqdwaU9e13Dl1s\n",
              "WHnrqrwb/IeqvWFDtUvB1B4u2LmQ0T9NyM5b0HK3bnzwHuswhE5SSjuP7p3eZ7j+vRZpcO70\n",
              "PtSy3L5+aMcfEVoes1u5ibvrUNq332nd6g4zJTq7DRuq9YOdP0LoI0LF/d6MXJ0wXId1NrD/\n",
              "lDT4PpL+Ts3ZAS/Ei22WF3u4FrAJg7zYZnmxh2sBmzBA1hOlM/Bqj9cANiGAAogEoAAiASiA\n",
              "SAAKIBKAAogEoAAiASiASAAKIBKAAogEoAAiASiASAAK/B8OPDXpma4xqgAAAABJRU5ErkJg\n",
              "gg=="
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAPFBMVEUA/wAzMzNxcXGGhoaW\n",
              "lpajo6Opqamurq64uLjCwsLKysrS0tLZ2dng4ODn5+ft7e3z8/P19fX/AAD///+kHpeQAAAA\n",
              "CXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2dh6KjOhIF7TvxTV74/39dB4IEklDobjCu\n",
              "2n13bOCoCSpjgu1LDwDNXPaeAYAzgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgA\n",
              "AiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAA\n",
              "IgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiAS\n",
              "gACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEI\n",
              "gEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACIBCAAIgEIgEgAAiASgACI\n",
              "BCAAIgEIgEgAAuwt0nXn+gAiSIr07Xq9flk/uT759P3f88kc+Pf94/rxvTYdLNuPUwUnnTPh\n",
              "wekQQBRJkR49fv3kOvLxz++qfz8egz/XpcNlhwFpJ35/RMYh0jZ/by9cn3/fH/3+fHsF+z0M\n",
              "/v5cc/dhn3/PU4emWY6ZW3zy7/qpptQ8Ztngz0/XTz8W00gjKNLvR4/+vXoyqXD97nfV2+L+\n",
              "vP3v+l9VOli2HyLpOY1OgEib/L2O6/vf89Gfx+DvzzX36zns1zh1aJrlmLnFgZ/PHlFYah6z\n",
              "bPDn4+kPbxpxBEW6zeKXR3dfPBl6521xPvyuen98+9/z9ac4HSzbO5E4iFTPt/uq/n7fZj/u\n",
              "j749O/23Yc19unff3+MeJTzNcszc4sDnwZiyUvOYZYP3KX/du89qJgQRFOnT9frvOsyv+8R5\n",
              "kxYSqTYdDN4Our79mycdpn/+8/vm2/Xbn3EnN0z+8Tj4cpOQ4mNYo33/5d7f/zwOTz8+fl+n\n",
              "4ePfO6FplmM+Fpl+3JhlpeYxqwbnp4uZEEROpL/3Q/5bX/27fBLdp9ze4367VqdDwc+Pg6mw\n",
              "SD+v4x5/Eul5jHY/+HKTsM395d7pr9/HjvrluZuYzv2EplmNmVp88st7e5FdalnA3VdNjX5f\n",
              "CSaFnEg/bkc89976Y/kkepTzOLr58qsyHSh7e/z538OJgEgfd9l+P95IDoP/u1v143GM5iZh\n",
              "k1/31e3vEoZ/vw9bqneHLqYJjHm2+OSbd8CbXWpRwGmwv1v3JTCNJHIifb531H/DSTj3yWTC\n",
              "8GSO/HrsEj7/q0uvy36+Pl+lgiLNx5vj4M+Pfx5RNwlb/P14boy+X/XuL48Xx2nKXJGeLQ5j\n",
              "PqpK+QXcBm98/zRNeXiRnicN7kcsiyejCO65g5Gf46tKVXpZduGNP+Cx3j//cpqZHF0cTEGa\n",
              "oZOGevf3+4vV/dTAtF5X04TGuN3+99W5yFdQyp1i8m/eoD/HndfRRfo1dctfiyde71x21euf\n",
              "x8FPZTo8bVik/senxY4Nkar4M/T6YZUN+w/vDMDHQhd3msCYP+7u47tzRruk1DxsyrkiBXeL\n",
              "goiJ9G3qlt8WT9IiPYdUpsPTRkS6vU799/F4M7DWBpGy+Tm+Sfo0n0rrF717WouhaVZjfnpv\n",
              "0JyL5UWlnGd+g7cW//WvI9LH1KM/Fk+iKtymeoi0DOSlA2W/hI+R/s6xv65fn4dzfb2fhBS/\n",
              "xztRbruOx4vecOD5XHNfrj/v77emHUxomuWYucU7f+d3dmWl5jF+g/f043TSt/VMCCIl0p/r\n",
              "MKP3Luk9WakwvZ/6fr+z4e/9GKkm/fjjT/vzfubin3PW7vO98WHAp/sUfxZn7b7d5fnSe0lI\n",
              "8XnaAH+eD56X4Yb+OQz7M04dmmY5Zm7xzn/zO7uyUvMYv8G+//d4tf34u54JQaRE+u9+FvrO\n",
              "/ZYf70lchX8f466kJv3440+7uo704zHtJ3dj3Pc89/eDN//+fbpOa5jrSJnMG8C/2W1Yc39u\n",
              "r2hfnM4dmmYxxmmxv7/e1ZaaxvgN9s9777799dPSSIn0aXy9uO1hPnlP4ioMd3//q0tfh92M\n",
              "M+1jJ/fNffv249O9wPPx328fzzsb+r9fhvOm/32a1vCcBCjntJ9Hwgmw5KwiDXsoABv2FkmJ\n",
              "++0j37cnAxDipCJ9nj95C2DASUUCsAWRAARAJAABEAlAAEQCEACRAARAJAABEAlAAEQCEACR\n",
              "AARAJAABEAlAAEQCEACRAARAJAABEAlAAEQCEACRAARAJAABEAlAAEQCEACRAARAJAABEAlA\n",
              "AEQCEACRAARAJAABEAlAAEQCEACRAARAJAABEAlAAEQCEACRAARAJAABEAlAAEQCEACRAARA\n",
              "JAABEAlAgN1F+mqYaky3FN0l27aWKlu4RbrOrlxrun0dPUEkm6JvJlKlSYhUDyLpZRFJu+QM\n",
              "ItkURSSlcq1pRDKviUi5EUTaAUTSyyKSdskZRLIpikhK5VrTiGReE5FyI4i0A4ikl0Uk7ZIz\n",
              "iGRTFJGUyrWmEcm8JiJlRjpE2gFE0ssiknbJGUSyKYpISuVa04hkXhORMiOItAeIpJdFJO2S\n",
              "M4hkU/S9RKr9IAUi1YNIellE0i45g0g2RRFJqVxrGpHMayJSZgSR9gCR9LKIpF1yBpFsir6R\n",
              "SHeJEMkcRNLLIpJ2yRlEsimKSErlWtOIZF4TkfIiiLQLiKSXRSTtkjOIZFMUkZTKtaYRybwm\n",
              "IuVFEGkXEEkv29pJqm4+RaR9QCS9bGMn6apu435EEMkcRNLLNq2lh0WIlAsi2RR9OZGee6Na\n",
              "kSpNQqR6EEkvW190fFOHSLkgkk3R1xJpOjhCpFwQyaboq4m0fFCaRSRrEEkvi0jaJWcQyabo\n",
              "G4lUG+wRqQVE0svuIVL9wVWPSC0gkl52F5G+VgbvIFI9iKSX3UGkbilSUQuIVA8i6WXbRfpa\n",
              "alLXr0QqaAGR6kEkvay9SB0i7QUi6WXlRdqyousRaScQSS9bG5z7/lqktBaItBuIpJc1F6mb\n",
              "RJraQCQjEEkvay9Sj0h7gUh6WWuROkTaD0TSyxqL9ByHSPuASHpZRNIuOYNINkXfQKQOkfYE\n",
              "kfSy1iK5RaebVxHJBkTSyyKSdskZRLIp+koiOV0/IFLMiw6RdgWR9LICIi1uCkqK5BVFJGMQ\n",
              "SS+LSNolZxDJpigi5YBI9SCSXhaRtEvOIJJN0TcUqdsIBDilSNcbqwdCVR0QSS+7p0jTdx6/\n",
              "qkiF/T8q0nX4L/BAFETSy+4qUj98C/+LilTa/2MiXce/6weyIJJeti7o9nxXpI0dzEqk59Qv\n",
              "KlJx/08fI12dB4j09iIldzABkfrSX4Y5jkhPCvo/ItkUPYdIz51SOrYsikh+O4iESDUiXS6v\n",
              "K1JJ/5cS6Sucha4LP3uItBwdiw1cLl+7i+jciWMgktcOeyT2SIV7pMvl8hief63yWHukov6f\n",
              "WEi/HURCpBKRnhb1LyxSWf9PXJBdPECk9xDJE+Wr/w11+SJd3OHZJh1JpML+n7wgu37ABVnb\n",
              "km3Z/US6eMOdZ5fI44YZbkunLsiuH1RckH3iPOAWIUR6PA6bNA29F70sRozP7+pcJtZv+o4j\n",
              "UnH/56ZVm6JvJdJlNWJQZxlZmnQckYpBJJui7yDStKuJt7cYszx8QqR6EEkvaybSbdcy+ZN/\n",
              "Z0PnvutLT5oFIlmlGtPvKdI0ICHS/XjHPUZatTd/zM8bsxKpySREsko1phEpLNJDoy2Rxo/5\n",
              "eWMeh0/LAdUgklWqMY1IAZEeb+kQCZGMip5IJGeK8cCoRSTv2i0iVYNIelllkebTcwUidb0b\n",
              "erbjDKmZY3dmbUIBEMmm6AlF8vYkcZHGT9aOE3qp3msJkRpAJL1sTdDvy0+RplNurkj+XUBN\n",
              "Io1tIVIDiKSXlRGpD4q0uP7TJlI/HWpVzLE/syahAIhkU/T1Req66N0+WSJ1ThvDcKfWZRhS\n",
              "Mcf+zJqEAiCSTdFTiHTnEriQhEiIZFX0tUVyLh9dVtO4791CRbNEGtpFpGoQSS8rJJJ7l89l\n",
              "PU21SD0iCYJIellTkaJFIyJ1K5E6RGoAkfSyciJ1WyIlioZF8u17tIxILSCSXlZKpLnXXwLT\n",
              "dHUiLdtBpDYQSS+rLJL/T7ToEHb+GUOIJAgi6WXFRbp406zuYQ0XDYkUSl4QqQVE0ssKitS5\n",
              "Ik0edP3qnV2mSOMY91ISIrWASHrZimDEiqRIG0Vng6Z3iJ0jkm9S+RwnKquFAiCSTdFTiHTx\n",
              "p6oWyTlzh0hSIJJe9qAi+ZeS5nh3QaR6EEkvKylS534J3Xhw5N3SECuaL1JX8hMwaxDJKtWY\n",
              "fmOR+oRIW0XnN3SIpAgi6WVfTqSCH64IgEhWqcb0G4gUfZ+26OT+27V00bhIvfsR9ccYRKoG\n",
              "kfSygiL1EZHWJ9oQaR8QSS8rKpJ3/OKItFnUF6n33VmI1GQSIlmlGtOI5EzXOW6kiyKSCYik\n",
              "lxUUafHj5IUiuQalRWrpkIhklWpMv7FIy24y3a+6Pl8dFalHJE0QSS9bIVKwhfVvVEqK1PnT\n",
              "1fdIRLJKNabPL1L4FFygjyiKVN8lEckq1Zh+A5GCLcT7SKVIbn4tUnWfRCSrVGP6ZCKtLQif\n",
              "OSjsIoi0D4ikly0WKdiCrkj9WqTaTolIVqnG9NlFCr9PK+0hKZGWZSMiVfZKRLJKNabPJ5Jv\n",
              "TuDWa1GRprLeY0SSAZH0soikFAqASDZFDyrS8v65dQvFHURCpLpuiUhWqcb06UTy3Ql9qA6R\n",
              "ckEkm6LHFym0Q0KkbBDJpuhRRXI6dbCF8v6BSPuASHrZTZGcHh7cIe0mUlW/RCSrVGP6lCJ1\n",
              "85NQCwIiLU4PLkXqnVlApHoQSS+7LVK/h0jemGmAv4Os6ZiIZJVqTJ9YpNDdp48W5EVajEEk\n",
              "IRBJL5slknP3zhqR7lwlUkVpRLJKNabPKFJ/WJEETryrhQIgkk3RY4sU7el7itR+c5JaKAAi\n",
              "2RQ9nkjuaYZYRzcRyTEakepBJL1slkire+4cLhWlAxFEMgCR9LJ5IsX3GJea0mUi+X8RqR5E\n",
              "0stmihTh/t1ByiK5cxJ4i9n62Vy1UABEsin6eiJdKku3iPS1aZeESFapxvRbiXSpLY1I+4BI\n",
              "etkGkS7VpctFmu+x+Nr03g6RrFKN6TcSaewWUiKlI4gkACLpZY8i0hZRkcq6JyJZpRrT7yPS\n",
              "1Cv2FqmofyKSVaoxjUjNRROzEhappIMiklWqMY1IzUUTs4JIbSCSXvZVRJouxgZEKuihiGSV\n",
              "aky/jUhzpziASPldFJGsUo1pRGoumpgXRGoDkfSyqWDWOztDkR7zg0j1IJJe9hwiZfdRRLJK\n",
              "NabfRSSnTyBSLohkUxSRkgwfiUKkehBJL4tISqEAiGRT9IVEcruEoUiPLCJVg0h6WURSCgVA\n",
              "JJuiiJQkKVJuJ0Ukq1Rj+j1E8noEIuWCSDZFESkri0jVIJJeFpGUQgEQyabo0UTKO0RCpGwQ\n",
              "yaboy4jkdwhEygWRbIoiUlY2+pWvapURybwmIrUW3c4iUjWIpJdFJKVQAESyKYpIWVlEqgaR\n",
              "9LIVIi36AyLlgkg2RREpK4tI1SCSXvY0IuV1U0SySjWmEamx6HYWkapBJL0sIimFAiCSTdHD\n",
              "iRQZjkiVIJJN0YOJlNthESkXRLIpejSRIsOPI9Lix8ly+ikiWaUa0+cRKfNyLCLlg0g2RQ8l\n",
              "UrZHiJQNItkURaSsrCeSO5eItAUi6WVLRVp3hsOIlNNREckq1Zg+i0jRHxlHpHoQyabosUQK\n",
              "Dw/0BUTKBZFsiiJSVtYVqS89SEIkq1Rj+uQihbrCcUTK6KmIZJVqTJ9EpJK7BxApF0SyKXok\n",
              "kcITB3sCIuWCSDZFjyNS0e1siJQLItkU3Vckt0sW3RaKSLkgkk3RvUXqxr9l91cfSKTtropI\n",
              "VqnG9MuK1LkiRaZFpDYQyaboniKNfbJbd86JSD9ApFwQyaboriL1k0j5t6tWl0akfUAkvewz\n",
              "2J1EpM2+ikhWqcb0a4o0ONSvb19zQaRGEMmm6G4iPXtj6nzdnVg3sBZpnsnQ8dxGZ0Ukq1Rj\n",
              "+jVFej5MnGe4g0itIJJN0b1E6s4k0kZvRSSrVGP6JUUaHiKSZCgAItkU3UmkdL+cOZxIkYO6\n",
              "ZHdFJKtUY/r1REqeBHNBpFYQyabo/iLVeHQ4kZL9FZGsUo1pRMoqWh5xs8NsIlIpiKSXjX6V\n",
              "9pLXESnVYRHJKtWYRqSsouURN4tIlSCSXhaRskqKgEg2RREpM4tIlSCSXjZXpHgnQKRcEMmm\n",
              "KCJlZrdEkp1ZRNqhJiLlFS2PeNmt29URKQwi6WURKa+kBIhkU/TIIskediDSPiCSXvbFRSo9\n",
              "24BIVqnGNCJlFS2PeFlEqgOR9LKIlFdSAkSyKXpgkYTvA0WkfUAkvexLiuR97VFoIsnbMBBp\n",
              "h5qIlFe0POJnEakKRNLLIlJmSQEQyabocUWS/vQ2Ii243hgf9P4DSRBJL4tImSVDFPb/6Fxd\n",
              "h/8CD0RBJL3s64rknLpbYSNSaf+PzdV1/Lt+IAsi6WWbPXpfkYr7f3o9IpJUUUTKz05fHbb7\n",
              "MRIiqaTPKJL812kLilR4Rfa4Is3vChGpsehBRVL4pZQTiVTS/6VE+grHo+u2prhYzEYpt9ke\n",
              "5jy4AMLzbCDSdK6CPVJz0WPukTR+TVJ9jyT5/crJUFH/T6zKq/8XkU4n0vbV+HcWqaz/Jy7I\n",
              "LppDJETKQUIk9xvA19iIVNj/kxdkpwdckG0tekSRMm4P20Wk/ggilfb/6AXZJ8PDaVjxfG6C\n",
              "SHpZRMouuaS4/3PTqk1RRCrIHkCkYhDJpugBRcrZ9IiUCyLZFEWkgiwiVYBIellEyi7ZDCLZ\n",
              "FEWkguyGSLE5RySrVGMakXIQEWkcULRLQiSrVGP6XCJlbfl9RJpBpGwQSS+LSBUlK0Ekm6KI\n",
              "VJUtOkhCJKtUYxqRlCLxLCJlg0h62ZRIeRsekXJBJJuie2Tbd0iIlA0i2RRFpKpsbBGCc49I\n",
              "VqnGNCIpReJZRMoGkdSy7YdIiJQNItkURaSqLCJlg0hq2ROLFJx/RLJKNaYRSSmSyJbskhDJ\n",
              "KtWYPpFIuZsdkXJBJJuiiFSXRaRcEEkte2aRQkuASFapxjQiKUUSWUTKBZHUsnGRsrf6cUUK\n",
              "LAMiWaUa04ikFElkESkXRFLLIlJVyToQyabooUTK3+gHFmm9FIhklWpMI5JSJJFFpFwQSS17\n",
              "cpFWi4FIVqnGNCIpRRJZRMoFkdSyRbdOi5VGpH1AJLXsGUQqMQmRrFKN6ZOIVLLJESkXRLIp\n",
              "ikiV2YLPyyOSVaoxfQ6RirY4IuWCSDZFDyNS2QZHpFwQyaboUUQq3N6IlAsi2RRFpMosImWC\n",
              "SGrZQB8s3dwHF8lfHkSySjWmEUkpksoiUiaIpJZd98HirY1IuSCSTVFEqswiUiaIpJZFpLqS\n",
              "VSCSTdFDiFS+sfcXqeC0HSJZpRrTiKQUSWYRKQ9EUsu+gUjeIiGSVaox/eoiVWxrRMoFkWyK\n",
              "IlJtFpHyQCS1LCJVlqwBkWyKHkCkmk2NSLkgkk1RRKrNIlIeiKSWfQeR3KVCJKtUY/q1Rara\n",
              "0oiUCyLZFN0h23VeEJGyS9aASDZFEak2i0h5IJJWFpFqS9aASDZFdxepbkMfQKT803aIZJVq\n",
              "TCOSUiSdzd4lIZJVqjGNSEqRdBaRskAkrawnUuV2RqRcEMmmqFG2c3rdyUTa/kkARLJKNaYR\n",
              "SSmSzk4ibX2VOSJZpRrTLyxS7WZGpFwQyaaonUjd/PgcIg0mxUSalw2RrFKN6dcVqXorI1Iu\n",
              "iGRTdFeR6jcyIuWCSDZFp2y0P4jUvTU+tT+J1LCNESkXRLIpaiPSvW1EEihZDiLZFB2znb1I\n",
              "LZv4OCLFVxwiPUAkwbohkZq2MCLlgkg2RXcTqW0DH0KkcbG2TEIkq1RjWqCLdIn+IFAXkaRK\n",
              "FoNINkUnkTZvwmypuxapcfsiUi6IZFPURKThYGJ6hkjVJYtBJJuiiNSQRaQMEEmu7olFSq04\n",
              "RLqDSHJ11yK1bl5EygWRbIo+s+M1eqW6fvOI1FCyGESyKWoh0uKjpG8j0riUiGSVakxLi5Qr\n",
              "VL1IzVv3UCJt7ZIQySrVmJYXKc8kREKkbRCpta5zdsF7jkgNJYtBJJuig0jPv9OXEAiJ5L9V\n",
              "RCSBksUgkk3RR9Y3SFakbunT7d/2jYtIuSCSTdGnSMOTrnvevCom0sD4fPwXkapLFoNINkXv\n",
              "WacfdKNL1XW76Xhr6SQiCZQsBpFsij5Ecgc0ijTsgUKNvJ9IQy9GJKtUY7qxiwS6QbVIg0Tu\n",
              "O7pVo92lvZMgUi6IZFP0a7AX1Io0vq0LHmghkkDJYhDJpujXPtQJ8s43xESKtTCeHDydSBsH\n",
              "SYhklWpMN3WRYB8IvTPLqeuftoiMPo9I08tFepeESFapxnSbSJERhSJ1y/c4QRMfgy4dItWX\n",
              "LAWRbIpGu0C5SN1CpEijl3OJNPwbS15qKyOSec2WovEe0CpSpNXL5bZbeiOR7h0ZkaxSjekD\n",
              "iNSNF2DTidve6D7NO4l068mIZJVqTOuJdLmRVXfYHaVFurf16HqIVF+yFEQyKZoQaZQo7lKh\n",
              "SM9muv7NROrrTlIiknlNFZFub8I658lG3S5DJKeN9xKpri8jknlNBZGeb8IWAxJ1x3Pf6YPu\n",
              "QLCWg4mUsysWKlkKIpkUDXeAS2BUQKWVSJk7JERqKFkKIjXE8n9ZIjjhJTxqpdJUN+MDgV4W\n",
              "kepLloJIDbEGkebzdIE2Fio5Ig1Vk9clA8FqECkXRGqIVYrkn+wO76yC79CmQ25ECqZrOjMi\n",
              "mdcMipRpkjvdZTkqeOuqo1K+SIumEam+ZCmI1BCrEmm1xiMmzSp9nSf0/l2DSGIlS0GkhljE\n",
              "gGmc+2x6GFnjoXYW30Uw96bkx3JmEKm+ZCmI1BALf0J1HOeM6eYbsWMrPHKo5N7VjEiIFOfF\n",
              "RYp9RtX/GHitSL1/em9DpFXT5xMpaRIiWaUa02GRxvt2Om/EOHA8qhmz0fW9fW3I6Uzhy7tv\n",
              "L1JNb0Yk85oxkca3eIERo0qTSPHV3ShS8JbXE4m0fhRKI5JNqjG9jLkvkxGRegmRvl7mlsKT\n",
              "bt7tWstBRJpJi1TRnRHJvGa+SKsTdqNIibWdIVJ0gozPX1SCSLkgUn0sItLy5uzH2Hs29eG9\n",
              "pEiPrZR7O0NihstBpFwQqT62EGk+p7bY2vcBmxs5KdLdwdyrsIkZLufVRCrvz4hkXjNPpNXx\n",
              "0iBScnfUb4l0/3KtzItHy2ATiJQLItXH/FMKo0jrs2p3kTbXc7yHDGMumRePHN5QpOIOjUjm\n",
              "NbNEGk7SLabL+WGIaBcZvxzx8sQbl97PIZJEyTwQqT62FOnhUCjY5Xx78NZNe+P42Z3kVw/d\n",
              "OaFI22+B5UtmgUj1scXVovG/NaIiPe8aSn+BV2SGy0GkXBCpOuZs0q1v98n5zrUNkXI/sOGC\n",
              "SCIls0Ck6thapMQZ6hyRgvEOkTy2RCrt0YhkXjMp0vNv/Ax1g0jBExhZIJJIySwQqTq22qSp\n",
              "S6a1InWI5INIEU4kUoy8nxyJiRQ+pZ7Fe4k0Xm8TL5kFItXG8nt2vkjrJhFpQUqkxyhE0k81\n",
              "pncQqUOkBYgU4fwiXfJKBs+ezw4h0hNEioBIiSY7RFqCSBEQKdbk9F4vfsvEBm8pUmGXRiTz\n",
              "mn6s7BAps6TXKCKFQKQIpxfpUlISkbZApAiIFGt18bnBzHIubyVSh0hmqca0G8vu2YuvHd5i\n",
              "cUf5OKzKI0SSKZkFItXFCj2qEml+VLdDelORyvo0IpnXrBFpWr2tImXGfRBJpGQWiFQXy+va\n",
              "gd842mA6v9AhUpAMkYo6NSKZ13RjpR7ll0SkNK8o0nX457p8IMlLilTsUatIuWmfdxWpxKRE\n",
              "yaL+nyg5xK5jk9MDUV5TpJzJvVVbLJI3CJEm7EQq6//xktc5/vg7NyvKK4qU1bH9NVsg0urO\n",
              "OkRyiK0L7xqBhEiF/T9a8tojUixWvkMqKLkWqXph31akApNiJUv7//Yx0rV392qIVHOEhEhi\n",
              "WSuR+sL+n3+yAZGGWOklpMKS82f5yrML3lekfJOyTzYY7ZG+vg9d3mSX6va7538QIrZmbsPd\n",
              "UflrX6b/b4vEMdIiVrVDKim5urWOPZJD5h4pe5e0JZLYMRIi+bHSm+zKS65urUMkB0SKgEgr\n",
              "EClBZP2vDiwPJxIXZP0YIikWPaBI7RdkuUUoGEMkxaJHFKn9FiEbEGkFIqUIb4D1x/Eze3b7\n",
              "OioqpwcirUGkBIgUBpHWIFKCxQYYniLSSUVartdCkeqzIsGWFsxFinzTEiLppRrTZiJJZRFJ\n",
              "pmQOiFQYQyTFotUire/0RSTFVGMakbSLSoqU2bURybxmiUir1YpIUllECoNIeXVNgy0t2IvU\n",
              "IVKPSLl1TYMtLSDSPiBSXl3TYEsLiLQPciLlf0UIIim2gEj7IClSrknqIq3XKiJJZbNFyuvb\n",
              "iLQCkSSLVrewg0jORVkXRKpKFXyxLyIptmAuUo9Id+REyj9IQiTFFhBpH6REWn1liHjNfJEC\n",
              "KxWRpLL5ImV1bkRasLppUbwmIqkXRaR6BEXKNgmRFFuwF6lHpF5MpOD5T9maiKReFJHqkRLp\n",
              "8QeRxIpWt7CLSKExiFSRirwkidZ8xCo9QiSxbPij5oExfVbvRiSPyEuSaE1EUi+KSPWIiBTb\n",
              "t4vWRCT1oohUj4RI4xpEJLmi1S0g0j5IipRrkq5IwVWKSFLZEpEyujciOSCScLClBUTaB0TK\n",
              "qmsbbGnBViT3GSK1pg4lUniNIpJUFpHCnE2kyApFJKlskUjb/RuRHOY1mGcSIim2gEj7ULgg\n",
              "w8o6rEix9YlIUllEClMsUrdOHUek6OpEJLGstwkQaURapJwPnKuJFF+biCSWTYhUYdIriZTs\n",
              "3OUidasUIskXrW5Bf0lje6GvJxcp3bnLj5HujR1TpMTKRCS57PuKlOp+ZQsyfowrJlIf2cFn\n",
              "10yFEUm7qIJIWz381USK9r9ykfq0SBknHJIipZ1PNZ5al4gkl02IVL5Lei2REv2vQqTb37RI\n",
              "WyalRUrOKiJpFnXWqfwAABMMSURBVG0UKbx10l0ckVZDY0+LaiJSawuIpMWLiRSPI5J2URWR\n",
              "0n38xURK986ypjJE2jBJRyS17YVIPimRindJryZSbyjS5i4JkRRbMFhSZyP4IlXskl5PpEgP\n",
              "RKRNEGnBW4sU64I6IqVNQiTFFnYWqdSk1xMp8uZOQKT1yhuGXMo/01Avkt7JIURaEBepfJf0\n",
              "iiIFl7FkQeaWvo4PwqcEH0NuGomLVLtDQiTJ7JuLFN4ltYjURUW6XJ57o+LPfadFSrxnVLyA\n",
              "jkgLikVSups4r4IYs0ihhawXabJo2e5NonGQrEipYy9EEihaKNJiY72NSMEX9BqRhmu84wWq\n",
              "RasXd8rSr/TZECma07zJGJEWzCJ1S5GK39sdX6TOed1YDZupFWlsatXzL96UiNTEMUWaTzq9\n",
              "iUiBK0ir5SxYEG/XFtm9Dws0r+DQmTt5kVQ/0YxIS8aO1XnH3WcWaXV3kJxI64cPLqs6l5VL\n",
              "iKTYgqVIgXTpQdIriDTsGExFuqymfQz1F1NcJN3vIUSkJW8n0rxb8oa6tIrUx0Ran4HIqBk+\n",
              "mz7GEEm5aJFIqwPuM4u0PB40Eyl0Km+7ZuSy1BiLjVH+9RBEWrI+ZJjSZxVpuWQNIkXO/nki\n",
              "XUJTL8bEawaO6VxiImn/VCkiLZkOG9bp04kUWSBDkYInIZI1w2+951jpGaGMkqrZk4sUTJe+\n",
              "a0Ck0OOLN3n0zV2kZngf6sSCI/LWICKJZoPnhBCpuEVfpHkSf2miu6RwzdAVZI+q701LllTO\n",
              "nlmk2LV9RCpqMZJKieSMDKbdM+rh1kMi5a4/RBLNBr+j5q1ECp/8L24xnFosTJFI3nnA8Awg\n",
              "knZRRZE0fm8no/l2jifSPDosUjQ3xdYjslcfIolm30ek6PLsKNI0PpCOHXW5IJJ20RKRImlE\n",
              "KmoymFouS6DfX2Jpd9p8kfLXHiKJZs8tUs6r+r4iDSohkmILRxWp/EOeRQiLNJ9BthdptSiR\n",
              "66eXQLpDJKkWdlnSOX0akbrhYXwi/3nJNbh0KlOk4EeUvEmzRSpYeYiknT2VSJNMO4i0YYdX\n",
              "M+0cIrW0gEjNDLd8rj46sZ7IKS4lUmBBEKmhaHULhxWp+GsHihAX6fkgc4902Umk9HmJXJFK\n",
              "1h0iaWfPKFL+VKED/5zcKhVaDkRqKFrdws4ilb63O6BIeR4tbyWVESm4GAmR3C9yWL0TRaSW\n",
              "FhCplSqR8megXKS4EV6mVqSiVYdI2tltkYJb7A1EWkyYEinSCCK1gki57C7S+gzaPGG8e7eL\n",
              "dBs3fXNXpkgNHiGSejYkUsaLNiK5bIm0rDm0/jxOWp+tjywJImkXlRdpc5OdR6ToLPj9248V\n",
              "i7RKPwddekQSbgGRWqkVKaFB9NN2UiLdd0rrq145IhWuOETSzmaIFNpoxxMp06PQ26zoOTf/\n",
              "O74XqZn4Pm16sEzPDV/WM45IDS0gUiMNIiUuA4W/il9SpJtJG7MYGly63hBJO4tIsbkYJhxU\n",
              "QiTDYEsLRxYpsNleV6SgEsk7fAL3k0uK1OV+/sIZXLzaEEk7GxBpffR7fJFS96muJnWffY3O\n",
              "R2qNiIq0MmlLpNivpSdAJO1slkjrrnJAkfIndZ+NC5L8OJG4SP5ZjEKRatYZImln80Rabbyj\n",
              "iVSAuEiJS7pz3k877xXv/259/ZA3uGqVIZJ2diHS87j6DUVKf1K8TaTlCl2J5L9Zu6xPPzjN\n",
              "1a0xRNLO+iJ1MZGW2w+RZjbve90WyWnkfon2MhBqDZH0ioqJ1MVFWmzA84mUPFJZrhB5kcZP\n",
              "KF3cQYHWKlcYImlnXZGGzYtIgel83MVPLEKJSP3DpYs3yG8akbSLion0fA8T+RKeyzrUzj4i\n",
              "OcvnLEjeIf8yJSjSqjIi2RYVEml+dxfuQ5dVqJ1dROokRUotQatIfuOB83vZIJJ2dhbJO90Q\n",
              "mvDsIoV2ABFKRfIb+9o7Kzkpknc6D5G0iwqJNPzbR/uQsxVfWqTIW7sqkZIL0C6Sq1Lg0m02\n",
              "iKSdDVyQjfeheTu+sEi9dzY7KlLyVglDkZwvd6i4NWguWQ8iVafPLlIfFsmbGzmRVm+WfZFS\n",
              "czfUeBgUu06bBSJpZ4tEmrsNIq0TsTJJkUJlQtfDHx+lTRZLgkja2XB6c5eESOtErExapOTc\n",
              "5QzOApG0s2UiTR3n5UUaF3BnkYJVEKmhBUQyJSySOztGIiVnLmtwFoiknUUkl1KRNmZ/U6Rw\n",
              "EURqaAGRTDmKSBtzlzE0D0TSzhaKNHadk4rkzI+FSLEaJUdOeSCSdvZtRRqWsEmkrbnfFCmZ\n",
              "yxmYCyJpZ99UpF5CpM2Zn0/MBUWKlkCk+hYQyRYBkTLmPXyaexJpa+a2B+aCSNrZUpGG7nNW\n",
              "keYZ2hQpZ9YRqQ1EymVHkZ6LWC1S1pxHRIpfi03URiT1oohUQUSk+V7rtEh5Mx6+p275Y7Cx\n",
              "ecsYmAsiaWcRacnFGx8m/vNk6yKIZFr6ZUR6drQTizTMEyI1ZxHpPUR6LGNoQfyv8gmRO9uI\n",
              "1MZZRApuu5OI1MdF8r5cLjg+d/E9keaLwIik18JBRYqZhEjZNVyREq9P61nLGZgLImlnESlE\n",
              "+uOol+zFn++n65wf0kQkxRZeSKR770ek3BpjQ8MXBq5uvIvPWs7AXBBJO/u+Iq1vJnUI/ETy\n",
              "PC5/8ZcijTplzNl62F5dBJEa0uN7kPAmz39J3mJ/kSJLqCHS+C8iKbZwMJH6pEj5R9tb7CxS\n",
              "vFPHv/uq5BAxIFKiphsLDEMk7aIqIj1vBzu7SIn3drFY0bkW9ycuu2lYxpwFhiGSdlENkfou\n",
              "+dp5DpESxyvr3xofKLuMFhJpO41I9S0gkjnJM2jr3xofQCSTotUtHE+k1BHESUTqUyKF563w\n",
              "nt3gKkQkxRYOJ1J/epEeJETqV7/iOv02RIlI64GIpNjCAUVKnah9C5H6vvd/Enl6jEjaRatb\n",
              "OJ5IySseZxfJHTy65CiFSNpFq1tApH3IEKl/zmbVDxbWirROIZJ+USWREldZ3k2k5eGSskih\n",
              "o1NE0i+qJVLi2uG7ibRAW6SASYikXxSR6jmoSGuVEEm/KCLVc1iRFtHbE0TSLopI9RxXJH8m\n",
              "EMmgqJ5I0Q6FSA3NI5JiC4i0D8oiNaURCZFyQaQEzkx0iGRQ9KQiXYd/rssHkryMSPt1EUQS\n",
              "SFeIVNT/EyINsevY5PRAlPACbn32DpG0i1a3cBqRyvp/XKTrHH/8nZsV5fAijd+egUj6RY8k\n",
              "UmH/j4p07d2G+ncWafyOFkTSLnogkUr7/+Yx0nV8a/iGIvWTQ4/5QSTtogcSqS/s/9sijW8N\n",
              "31SkDpHsih5RpMz+n7FHGv6mG/paS9flDzXnbtFjXg4yP1BNdAvK9H8xkaoJvlJsfmGW2R5p\n",
              "+J4j9kgmRY+4RxofHl2k4E+sHE2kDpFMiiJSPUcXaThQai2KSNrZo4ukfUH2+CJNn0xCJO2i\n",
              "BxSp/YKs0S1CiKSXRaSZHW8RsuHQIj1BJKuixxKpiEOKtOmRuUjNRRFJO4tIiKSVRaQZRAqn\n",
              "2mqWTY5IVkU1N2ukU51PpMVnFjZSbTXLJkckq6KIVI8j0rSkBxNJoigiaWcRCZG0sojkgEjB\n",
              "VFtN09h+WURyQKRgqq2maWy/LCI5IFIw1VbTNLZfFpEc3lCkbY8QSb1odQuItA+IpJdFJAdE\n",
              "CqbaaprG9ssikgMiBVNtNU1j+2URyQGRgqm2mqax/bKI5IBIwVRbTdPYfllEckCkYKqtpmls\n",
              "vywiObyTSOvbV6Optpqmsf2yiOQS7laI1FLTNLZfFpFc3k6kDI8QSb1odQuItA+IpJdFJBdE\n",
              "CqXaaprG9ssikgsihVJtNU1j+2URyeXsIvWTP4gknEUkF0QKptpqWsb2yyKSCyIFU201LWP7\n",
              "ZRHJJdivcjpbFoikHtsvi0guYZFOtEcaf6q1RyThLCK5hL8b+7wiZe1sEUm7aHULryXSmY6R\n",
              "EEkri0gubsfqpr52RpHmBzmptpqGsf2yiOQSEulUZ+0QSSuLSC7nF2mSCJFks4jk4X27/NjV\n",
              "EKmxpl1svywiefgidY8dEiK11rSL7ZdFJI+lSB0iIZJ60eoWXkak51NEaqxpF9svi0ge5xdp\n",
              "vIg0yZSXaqtpFtsvi0genkgyJWcQST22XxaRPBApkmqraRbbL4tIHogUSbXVNIvtl0UkjzcQ\n",
              "aTyvj0iiWUTyQKRYqq2mVWy/LCJ5IFIs1VbTKrZfFpE8ECmWaqtpFdsvi0ge7yOS8zHZrFRb\n",
              "TavYfllE8ngHkabbcTO/jAKRtItWt4BI+4BIellE8kCkaKqtplFsvywiecx9y+lliNRe0yi2\n",
              "XxaRPN5EpOdfRBLMIpLHW4j0BJFEs4jkgUgbqbaa6rH9sojk8V4iVaTaaqrH9ssikgcibaTa\n",
              "aqrH9ssiks/UuxApmGqrqR7bL4tIPoiUTrXVVI/tl0UkH0RKp9pqqsf2yyKSDyKlU2011WP7\n",
              "ZRHJB5HSqbaa6rH9sojk804i1aTaaqrH9ssiks/7iKScakwjknZRRKoHkfSyiOSDSEKpxjQi\n",
              "aRdFpHoQSS+LSD6IJJRqTCOSdlFEqgeR9LKI5INIQqnGNCJpFzUSyb3KgkjmNRFJvSgi1YNI\n",
              "ellE8kEkoVRjGpG0iyJSPYikl0UkH0QSSjWmEUm7KCLVg0h6WUTyQSShVGMakbSLIlI9iKSX\n",
              "RSSfU4sEYEVIJCkQCd6HwSBEAmgBkQAEQCQAARAJQILx14PkW0YkeCMQCUAARAIQAJEABEAk\n",
              "AAnuDml4hEjwViASgACIBCAAIgEIgEgAEtwsQiSAVhAJQABEAhAAkQAk6LJ/qLgIRIL3ApEA\n",
              "BEAkAAEQCUAARAKQAJEABEAkAAEQCUAARAIQQMUjRAKQAJEABEAkAAEQCUAARAIQAJEABEAk\n",
              "AAEQCUAARAIQAJEABEAkAAEQCUAARAIQAJEABEAkAAEQCUAARAIQAJEABEAkAAEQCUAARAIQ\n",
              "QEqk//X/u/1/fDj8bxg1P/FH/c974o5aNREbNTwOth6aJ29mW+Zpe1Rg3sPzND1LzFMvM0/R\n",
              "UWrbTmAVBtZT37ieeneUDIik1UEQSWgVBtYTIlVtDETqEclbT4hUtTEQqUckbz0hUtXGQKQe\n",
              "kbz1hEhVGwORekTy1hMiVW0MROoRyVtPJxbpCvCSCAkgJpJtsG3xK9MtRXfJtneSihb2WkuV\n",
              "aURqAJEUW0CkJhDpgFlE0i45g0g2RRFJO4tIpuVa0oikXRSREOmIWUTSLjmDSDZFEUk7i0im\n",
              "5VrSiKRdFJEA3htEAhAAkQAEQCQAARAJQABEAhAAkQAEQCQAARAJQABEAhAAkQAEQCQAARAJ\n",
              "QABEAhAAkQAEQCQAARAJQABEAhAAkQAEQCQAARAJQABEAhAAkQAEQCQAARAJQABEAhAAkQAE\n",
              "QCQAARAJQIBtkeJf1z/9JLT349DTE2fgtV8OSRaKTLVusKleVk2VquE5mB8Kr9hVya0f8/aq\n",
              "tta/Lv5NVZNZwRk/Vy6/URtEuo4jr+5UoaHj7KVam6ZyHkTqeVPU18upqVN12f7iofSKDVZM\n",
              "bQh3XprrTy8K29WEVvBGQZWaDSJNFbwNExp6nWcvNTsbnXrdYGO9jJpKVdcF3IfiKzZcMN7z\n",
              "vb/X5dDS+tf0eIUVnLeEywVsXMOZIg07vauzi1s0fl1kPJPzRPKXzSm5qHddtVJVL1pzWU+8\n",
              "aqiRuXnxFbsq6Dy5jv1l+WZmMVP19T2Rxm26jImuYH9J3PfJq6nkNmqeSFPReTXkb+9+MWvx\n",
              "Qm6n9kqu6qWWPrdetGZ4OwtWDTVSIVJlyav/8PGf20K2SHn13c7o+aK2gr1V5/Ylb9Gvy6mb\n",
              "auaJdPUeBLf3SvbQCto82TCvaL/kqt5q81bUi9aMLqVU1cAcREUSWLGrktdlpUTXaa4fEshp\n",
              "WGEFu11m3Y+WTQht1OxjpPlNT/X23tDa69R+yVW9rKXffhlJ1KzezhlVA3PQJFJhyb5fvsUK\n",
              "t+lu7fr64iJtLm2GSM5UQhs1863d0L2iIq1Wd2D0dT3lutC83t2SKvXSNbWWMjAHKZE0Ss6F\n",
              "x/PEwa6zbraqvrN0bqf0+7Ho0noi+YsYmExoDSdF8rdwQqT1zLSKtH4lia7x2nrxmjnbuaWq\n",
              "20RaJJEVG62eWrfXsQ9e+9BUhSI916jRCvZEWg1cTia0UUVECmxuO5Gq68VrZmznpqpuG0mR\n",
              "ZFZsoGrvL3BQJH/y6vqVIjUsrdv0uh/p1CwQaXmMNM9naHO7i+Gvwc1qgZKRBtvqxWv211Sz\n",
              "7VUXxa+9v6jSKzZUdi4wVg8XiDwoqD92yKs3oeZmXfngLWvfh05SttbcOEYa9+yPf5ci9c5I\n",
              "76aWefhy0bZvEZqX2S25irvzUFsvXlO7qtvMmLjqrdhQWT949VsI3SJUXd/rkYsThsuwzAr2\n",
              "35IGryPJb1RuWg1S0i9PwJstrgaIFOTNetabLa4GiBSg6I3SGXi35VUAkQAEQCQAARAJQABE\n",
              "AhAAkQAEQCQAARAJQABEAhAAkQAEQCQAARAJQABEAhDg/yo10a17UEjRAAAAAElFTkSuQmCC\n"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 20,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot(AAPL$AAPL.Adjusted, type=\"l\", col=\"red\" )\n",
        "par(new=TRUE)\n",
        "plot(AAPL$AAPL.SMA, type=\"l\", col=\"green\" )"
      ],
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAOVBMVEUzMzNxcXGGhoaWlpaj\n",
              "o6Opqamurq64uLjCwsLKysrS0tLZ2dng4ODn5+ft7e3z8/P19fX/AAD////WwRhDAAAACXBI\n",
              "WXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2diYKbOhJF6e4k/bL2wP9/7HhhkUAISVUly/ic\n",
              "mZd44epi0Gls7Ha6AQDEdI9eAYAzgEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgA\n",
              "CiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAA\n",
              "IgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiAS\n",
              "gAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEo\n",
              "gEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKIBKAAIgEogEgACiASgAKI\n",
              "BKAAIgEogEgACjxapEf3A6igOZF/dF33bXulu/P++XW/sgS+Pt+6t8/SdLB2mJYKLrpkwjfH\n",
              "QwC7aE6c24zfXukm3r78qfrv7XbzR1k6XDveEHfiz9vOfYh0zL/LD66PP9dLfz4uP8H+jDd/\n",
              "3rfc9baPP8vSoWXW9ywj3vnq3kuqlnvWA/56795/rpbRRnHUP7cZ/WdzZVah+/Sn6uXh/rr8\n",
              "r/uvKB2sHcZIfE13F0CkQ/510/b+ul/6e7v5877lft9v+z0tHVpmfc8y4siv+4zIrFruWQ/4\n",
              "63b1p7eMOoqjXlbx2226r66Ms/PycN78qXq9fPnf/edPdjpYOziRfRCpnB/XTf153Wc/r5d+\n",
              "3Cf9j3HLvV+n75/piBJeZn3PMuLIx2hMXtVyz3rA65K/r9NnsxKKKI763nVf3bi+7hXnSVpI\n",
              "pNJ0MHh50fXja1l0XP7+15+Lb92Pv9NBblz87fbiy01CjLdxiw7Dt+t8/3t7efr29qebb5/+\n",
              "vBJaZn3P2yozTDszr2q5ZzPgcnW1Eorojfrv+pL/Mlf/ra/sHlMuz3F/dMXpUPDj9mIqLNKv\n",
              "bjrizyLdX6NdX3y5STjm+uPema+f00T9dj9MzOd+Qsts7plHvPPbe3qRXLUucI9V86CfG8G0\n",
              "0Bv15+UVz3W2/lxf2X2Vc3t18+13YTpQe7n88XVzIiDS21W2P7cnkuPN/12t+nl7jeYm4ZDf\n",
              "183tHxLGvz/HPTW4t66WCdxzH/HOD+8Fb3LVqsAZcLha9y2wjCZ6o35cJ+rXeBLOvTKbMF5Z\n",
              "Ir9vh4SPr7L0tvaju/+UCoq0vN6cbv64/XWLukk44t/bfWcMw2Z2f7v9cJyXTBXpPuJ4z1tR\n",
              "lV/gDnjh831esnmR7icNrq9YVlcmEdxzBxO/pp8qRel17cob/4bbdv/47QwzO7p6MQVxxkka\n",
              "mt2f1x9W11MD83bdLBO6x532fzrnTb6MKneJ2b9lh/6aDl6ti/R7npa/V1e82bmeqt3f24uf\n",
              "wnR42bBIw8/31YENkYr4O876cZONxw/vDMDbShd3mcA9f93Dx6dzRjunarltzrkiBQ+LiqiN\n",
              "+mOelj9WV+Ii3W8pTIeX3RHp8nPqv7fbk4GtNoiUzK/pSdL7ciptWM3ueSuGltnc88t7gua8\n",
              "WZ5V5VzzB7yM+DU8j0hv84x+W13ZVeGy1E2kdSAtHaj9Fn6N9G+J/XP9+hjP9Q1+EmL8mT6J\n",
              "cjl03H7ojS8871vuW/fr+nxrPsCEllnfs4x45d/yzC6varnHH/Cavp1O+rFdCUW0Rv3bjSt6\n",
              "nZLelY0K8/Opz+snG/5dXyOVpG9/+Mv+up65+HLO2n1cBx9veL8u8Xd11u7HVZ5vg5eEGB/z\n",
              "Dvh7v3B/G26cn+Ntf6elQ8us71lGvPLf8swur2q5xx9wGL5uP23f/m1XQhGtUf+7noW+cv3I\n",
              "j3dlX4Wvt+lQUpK+/eEvu3kf6edt2Xd3Z1yPPNfngxf/vt67eQvzPlIiyw7wP+w2brm/l59o\n",
              "35zJHVpmdY8z4nD9eVdaNd/jDzjcP3v345+f1kZr1Pfp58XlCPPuXdlXYfz091dZuhsPM86y\n",
              "t4PcD/fp28/3a8H98r8fb/dPNgz/vo3nTf97n7fwkgTI59ETx6wfJ6Amj55tVv3jEQqgDo8W\n",
              "yYjrx0c+jxcDUOKkIn0sv3kLUIGTigRQF0QCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlA\n",
              "AUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRA\n",
              "JAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQC\n",
              "UACRABRAJAAFtET6XjdYXCdJS0ofkpVtpcIRLpG+r1cnTcu30R1EqlP6YiIVmoRIiNRiFpGs\n",
              "KxcQqU4pIhnVSdOIJACRDEdAJBGI1GAWkawrFxCpTikiGdVJ04gkAJEMR0AkEYjUYBaRrCsX\n",
              "EKlOKSIZ1UnTiCQAkQxH+H71CJFKQaQGs4hkXbmASHVKEcmoTppGJAGIZDgCIolApAaziGRd\n",
              "uYBIdUpfS6TSX6RAJERqMYtI1pULiFSnFJGM6qRpRBKASIYjIJIIRGowi0jWlQuIVKf0hUS6\n",
              "SoRIpSBSg1lEsq5cQKQ6pYhkVCdNI5IARDIcAZFEIFKDWUSyrlxApDqliGRUJ00jkgBEMhwB\n",
              "kUQgUoNZ6SQp+vApIolApAazwknSF32M+xZBpFIQqcGsaCvdLEKkVBCpTunTiXQ/GpWKVGgS\n",
              "IiFSi9ny0ulJHSKlgkh1Sp9LpPnFESKlgkh1Sp9NpPWF3CwiFYJIDWYRybpyAZHqlL6QSKXB\n",
              "AZEGRGoy+wiRyl9cDYg0IFKT2YeI9L0weAWREKnF7ANE6tciZY2ASIjUYlYu0vdck/phI1LG\n",
              "CIiESC1m64vUI5IQRGowqy/SkRX9gEgyEKnBbGlwmftbkeJaIJIURGowW12kfhZpHgOR8kCk\n",
              "BrP1RRoQSQgiNZitLVKPSGIQqcFsZZHu9yGSCERqMItI1pULiFSn9AVE6hFJAURqMFtbJLd0\n",
              "/vAqImWBSA1mEcm6cgGR6pQ+k0jO1A+ItOdFj0gaIFKDWQWRVh8KiorklSJSGYjUYBaRrCsX\n",
              "EKlOKSKlgEiI1GIWkawrFxCpTukLitQfBAKcUqTuwuaC/vogkl32kSLN33n8rCLlzf99kbrp\n",
              "zu2FrPU5ApHssg8VaRi/hf9JRcqc/7v3dNOf2wtZ63MIItlly4LuzHdFOjjAbES6L/2kIuXO\n",
              "/4PXSJ1zAZFeXqToASYg0pD7L8O0I9Kd9PmPSJVKzyHS/aAUj61LEckfB5EQ6dVEypj/eiLB\n",
              "Wej78LWbSOu792LHt7dCBZG8cTgicUR6sSNSzvyPieSPg0iI9FoiZc3/lBPj3Xa4nPU5AJHs\n",
              "skVBb+J/97+h7pVEypv/CXcEnijmrM8RiGSXRaTyUOb8339D9o5zgY8IIdLtctiM+dZ0kbb3\n",
              "tCNS7vznQ6uVShEpFFnf1Y5I2SBSnVJECkUQaQMiNZitJpL7SSCBSDkvpwIgUsU6Sfo1RZpv\n",
              "iIrUx0Vafs3PT22GKVljd2XrhAIgUp3Slxdp+jU/P7UZpmSN3ZWtEwqASHVKEWkYECkBRGow\n",
              "ayNSwCREQqRKpYg0LeeFNsOUrLG7snVCARCpTumpRepjIg33j0MgUhqI1GC2JOjP5btI8ym3\n",
              "XZEGRFIaB5EazOqINCBSAohUp/T5RVredC0TqffGGBApDCI1mNUWKbjIgEhXEKlO6XOLtHr7\n",
              "aDXfneduoVJEygGRGswqiTQYibQ5tCESIjWZrSrSbumOSP1GpO0hKg9EqlgnSb+wSP2RSJHS\n",
              "sEirIccaREKkBrNaIq1nvb9MXybSZhxEuoJIDWaNRQqfDd8Ryf1rCiHSFkRqMGsuUuj92SSR\n",
              "gklEGhCpyayiSP6ZgflzCvOfkdKgSNM9/qiIhEgtZguCO1ZERTooXQyaD2y9I1LsM0N5IFLF\n",
              "OkkakfylikVyztwh0gpEajDbqEj+W0mI5IFIDWY1Reo3IvXj20uIdAWR6pQ+uUhDRKSj0uUJ\n",
              "HSIdg0gNZhHJKBQAkeqUPolIu8/TVpPcf7oWL90XyX/GGBosC0SqWCdJv7JIw45I24MIIolA\n",
              "pAazVUQ6LPVFGnx3EGkFIjWYtRSpd9yIlyJSDojUYFZXJH+5LJFcgxApCiI1mNUUab2c85bs\n",
              "QWQWBJESQKQGswUiJY6gKVK/Xq4URKpYJ0mfX6TjU3Dzgojkg0h1Sp9EpMwRCkVy84jkg0gN\n",
              "ZuPBrQUJZw4KShEpB0RqMJstkkZ1pkgDInkgUoPZTJFSnqcVlDoirWsRaQMiNZg9FMmft4FZ\n",
              "rCrSXOtdRiQPRGowi0hGoQCIVKe0UZHWn59TqEYkEYjUYPZIJH/ihiYxIqWCSHVK2xcpOIkR\n",
              "KRVEqlPaqkjOpFaqRiQRiNRg9lAkZ+aG5zAipYJIdUqbFalfruhUbyP+SY21SIOzCoiESC1m\n",
              "j0UaHiGSd898g3+ALAGRKtZJ0icWKfTp08LqI5FW9yCSDyI1mE0Syfn0jko1IolApAazCSIN\n",
              "iKQDItUpbVuk3ZmOSKkgUp3S9kRyTzPsTuAaIjlGIxIitZhNEmnzmTthdSCCSOkgUoPZNJEi\n",
              "Rwx7kfw/EQmRWswmiqRbnSOSuyaIdAORGsw+nUjfRSYhUsU6SRqRCksRKR1EajD7JCItn7FA\n",
              "JERqMduOSPEIIi0gUoPZVkQ6ApEWEKnBLCIZhQIgUp1SRIqASAuI1GAWkYxCARCpTikixZje\n",
              "jEUkRGoxi0hGoQCIVKcUkWIg0gwiNZiNBdOmbD2RbuuDSIjUYhaRjEIBEKlOKSLFQKQZRGow\n",
              "+zQiTb8ShUiI1GIWkYxCARCpTikiRRk/H45IiNRiFpGMQgEQqU4pIkVBpAlEajCLSEahAIhU\n",
              "pxSRkrKIhEgNZhHJKBQAkeqUtiZS4oxFpFQQqU4pIiVlEQmRGswiklEoACLVKUWkpCwiIVKD\n",
              "WUQyCgVApDqliJSURSREajCLSEahAIhUpxSRkrKIhEgNZhHJKBQAkeqUIlJSFpEQqcEsIhmF\n",
              "AiBSndLmRDKrRiQRiNRgdj+YOmERKRVEqlPamkh21UoiHf3jZFrNiCTg5UVKnqSIlAoi1Slt\n",
              "SqT0OYpIqSBSnVJESsp6IuWahEgV6yRpRDKKLFlEQqQGszvBjCmKSKkgUp3StkSyrEYkEYjU\n",
              "YPa5RcpZz/JmRBKASIbViCQCkRrMhoM58xORUkGkOqUtiWRbjUgiEKnBbDCYNT0RKRVEqlP6\n",
              "WJHcKZk1OxEpFUSqU/pokfrpz7zZiUipIFKd0oeK1LsiWVcjkghEajA7Bqc52edPTkRKBZHq\n",
              "lD5UpGEWqcLcRCQRiNRg9h7sEUk7FACR6pQ+TqTRoaHWx9cQSQQiNZi9Bu+zMf98XXG17JHO\n",
              "K4lIVYKIlBocJ2PBvCysRiQRiNRg9vtyGEIkzVAARKpT+jCRxouIpBkKgEh1Sh8kkmReFlbr\n",
              "iFTyog6RKtZJ0s8nkugkWGE1IolApAazst/cLqxGJBGI1GD2CUWa7EGkOkFESgqKvkq7sBqR\n",
              "RCBSg1lEMgoFQKQ6pYiUmEWkqkFESgoikk0oACLVKUWkxCwiVQ0iUlIQkWxCARCpTikipWbL\n",
              "P66OSBXrJGlEMop4WUSqGUSkpCAi2YQCIFKdUkRKzS4iVfimFkQqrZOkEcko4mURqWYQkZKC\n",
              "iGQTCoBIdUoRKTWLSDWDiJQUfEaRvK89sm9GJAGIZFiNSCIQqcEsIhmFAiBSnVJESs6eTaTu\n",
              "wnRh8C9org8i2WURSRDKm//7InXTndsLWetzBCLZZZ9XJOfUnXHzXihz/u/e001/bi9krc8h\n",
              "iGSXFXv0uiLlzv+D10iIpFWKSOnZ+avDHv4aCZFM0ohkFFlll+/gy3sA7Yq0PCtEJGEpIqVn\n",
              "mxEpY/7riQTt0fePXoMiLqs9rnmNB1BBpG5ZgCOSsJQjUnq2lSNSzvyPidT5fyISIhlFVtlG\n",
              "RMqa/8cnxhFJpRSR0rPL1ys/UqS8+Z9wB2/IapQiUka2BZEy5//+G7J3xovzbdnrcwgi2WUR\n",
              "qTiUO//50GqlUkTKyDYgUjaIVKcUkTKyiFQtiEgpIJJRKAAi1SlFpIwsIlULIlIKiGQUCoBI\n",
              "dUoRKSO7rHfWI0CkinWSNCIZRfaziGQcRKQUEMkoFACR6pQiUlEWkYyDiJQCIhmFAiBSnVJE\n",
              "KsoiknEQkRKQe4RIySBSnVJEKsoiknEQkRJAJKtQAESqU4pIRVlEMg4iUgKIZBUKgEh1ShGp\n",
              "KItIxkFESuAEImU9BkSqWCdJI5JRJJJFJNsgIiWASFahAIhUpxSRyrKIZBtEpAQQySoUAJHq\n",
              "lCJSWRaRbIOIlAAiWYUCIFKdUkQqyyKSbRCREkAkq1AARKpTikhlWUSyDSJSAohkFQqASHVK\n",
              "Eaksi0i2QURKAJGsQgEQqU4pIhVmMx4EIlWsk6QRySgSyyKSaRCREkAkq1AARKpTikiFWUQy\n",
              "DSJSAohkFQqASHVKEakwi0imQURKAJGsQgEQqU4pIhVmEck0iEgJIJJVKAAi1SlFpMIsIpkG\n",
              "ESkBRLIKBUCkOqWIVJhFJNMgIiVwCpEyHgUiVayTpBHJKBLNIpJlEJESQCSrUABEqlOKSKVZ\n",
              "RLIMIlICiGQVCoBIdUoRqTSLSJZBREoAkaxCARCpTikilWYRyTKISAkgklUoACLVKUWk0iwi\n",
              "WQYR6Zi+l08SREoFkeqUIlJpFpEsg4h0DCKZhQIgUp1SRCrOJpuESBXrJGlEMorEs4hkGESk\n",
              "YxDJLBQAkeqUIlJxFpEMg4gUpndm3clEOvYJkSrWSdKIZBSJZ2eRjkxCpIp1kjQiGUXiWUQy\n",
              "DCJSmN6ZbmcRaTQJkSyCiBQGkXQq80GkOqWIVJ5FJLvg84p0PB8kvZfB5/ERqbwyH0SqU1pH\n",
              "pOvYiKRQmQ8i1Smdsj0iZWdvjyhhwyFSxTpJGpGMIgdZRLILIlKQc4o0PayjLYdIFeskaYUp\n",
              "0ifMB0EvImlVZoNIdUpnkQq+SgGREMkqiEghxhcT8zVEKq7MBpHqlCKSIItIZkFECnFikVI2\n",
              "HCJVrJOkEckocpRFJLPgk4o0vUdv1OsPj0iCymwQqU5pDZFWv0qKSILKbBCpTmlIpFShEKlf\n",
              "PWtVbEYkAc2IlGYSIiGSVRCRFpyzC951RBJUZoNIdUpHke5/zl9CoCSS/1QRkRQqs0GkOqW3\n",
              "rG+Qrkj92idEklRmg0h1Su8ijVf6/v7hVTWRRqbr09+IVFyZDSLVKb1mnXnQTy4V9/bz6621\n",
              "k4ikUJkNItUpvYnk3iAUaTwChQZBJIXKbBCpTun34DQoFmmUyH1GtxkUkQSV2SBSndLvwVlQ\n",
              "KtL0tC74QguRFCqzQaQ6pd+H0CRIO9+wJ9LeCPPJwbOJdGASIlWsk6RFUyQ4B0LPzFJ6/dMW\n",
              "O3efR6T5xwUiaQefUKSdOzJF6tfPcYImIpK4MhdEqlO6OwXyRepXIu0Nei6Rxr/VmxFJQH2R\n",
              "9meAVKSdUW//IVJ5ZS6IVKVUS6R+egP2uK9HJEllLohUpVRPpCFJpPvUQ6TyylwQqUppdZFu\n",
              "T+4QqbwyF0SqUhqZAcdSLL19ukh+sBRESgWRqpSqiTS8tEjxB45IFesk6WZESvQIkQSVuSCS\n",
              "IJb+L0voiJT5C4GIJKjMBZEEsfoija2IpNaMSAKeW6T0WkQqr8wFkQSx9GNDVKSjj64iEiJZ\n",
              "BU8k0rFJ35cFvb8PQaTyylwQSRCLGeDfk/JRhMPeZTYhklozIgnQE2n/oOQ5lvBBbESKZBHJ\n",
              "KtiMSHu/o+r/GriKSD0ixU1CpIp1knRYpOlzO713x3Tj9KpGRaRl9MIVzgaRUkEkQcx5wrEW\n",
              "ab6Q+jt2iBTJuk+SlZsRSYCSSO6PyR2RBj2R0n4qB4ISGhFpAZF0g22LtDlhpyNS6nqughIQ\n",
              "KRVEKo/tiLT+cPbtXkTSySKSbrBFkZZzaqu9fb0BkXSyiKQbbFekzeslRNLMIpJusC2RhvE7\n",
              "SW4Xt2fVhCIthuaCSBqVaSBSeSwk0niSbrVcylfM7U6RpC9HDIJIGpVpIFJ5bC3SzaFQUCRS\n",
              "2reMBjmhSCkfpdKuTAKRymOrd4um/7b0KV8xh0iINLykSM4uPf52H7FIBR4hkk5lEohUHNuK\n",
              "JNrJO/EekTwQSTXYnEj3P01ECp7ASAKRVCqTQKTi2GaXys4ohUXqEckHkVSDTYokq9wTKXxK\n",
              "XanUYISHiVSyhRCptE6S9mN5+y1NpO2QiLQiJlKJSYgk4HlE6hFpBSKpBk8pUmDIxSFEuoNI\n",
              "qsETihQaskekNYikGnwFkebnevsfmdAo1R4BkUS8nEiZey2t0hsUkUIgkmrwpCINiHQEIqkG\n",
              "TytSH7gc+F1B1VLdER4lUvr3R+dWJoFIZbHcvZZaufpE+XTbo95sRKRUEKkslrvTSkRaLpXN\n",
              "EUTSqUwCkcpitUXKa8ssVR0BkUQgkk7lfH6hR6QgiKQafLRI2fssuRKR4jyjSON9Xbe+oLk+\n",
              "TylS/i4TipRbl1mqOcJ5RMqZ/zGRxlg3LdXFFn8xkewql7eOnJsQaaaeSFnzP3pPtyzQORcy\n",
              "1+eAZxSpYI9liLT5ZB0iOexti9L3CHYr8+Z/9A5E2omZfn50K1LlbSsc4SQiZc7/hNdI3eAe\n",
              "1RDJ+oPYiBSl2hEpb/5nnGxApDFmfHJo+V2+/GxxqeIIZxMpbf7rHZFeh956/P7+H4TY2zKX\n",
              "28s2ms78PxaJ10irmPmndTY/WzkiOdQ+Iqm9RkIkP2b/3ujmo3WI5IBIqsEzi7R5RwSRHHa2\n",
              "v8XvbBmdteMNWUSyLm1QJPkbsnxEKBhDJMPSFkWSf0RIa30sgoikXao2grFIOzvggb+OfweR\n",
              "MmM1PoiNSBEQSTOISOqlWiNUFmm8ikiItGXVgUguG5Ee/U1LdxApM/aA37FDJBdE0gwiknVp\n",
              "8QgPEWn7SV/NyhQQKTOGSIaliIRINpWyLCLpVKaASJkxRDIsLROpR6TiICJZlxaPgEgiEMmk\n",
              "UpZFJJ3KFE4kUvp2RCTDERBJRBMipW5IRDIcAZFEIJJJpSz7KiI5b8qaVKZwHpEyviAQkQxH\n",
              "qC7SgEjlwZBI6RsSkQxHQCQRDxcp53f2EclwBEQS8XiRMjYkIhmOgEgiWhApeUsikuEI9UUa\n",
              "EKk4uEllnf9EJMMREEnEw0W6/YFIaqXFIzxEpNA9epUpnESkvB9JApEKPUIktWz4V80D9+hV\n",
              "pnAWke5/IpJaafEIiCTisSJlHtsRyXAERBLxUJGmLYhIeqXFIyCSiCZESt2UiGQ4AiKJQCST\n",
              "SlkWkXQqU0CkvFJEsizNF8m9hkjSFCLplxaPgEgiEMmkUpZFJJ3KFM4lUuK2RCTDERBJRK2d\n",
              "PW4sRLIuLR4BkUTUE6nfphBJv7R4BPNH6u0CRCoMHoqU8gvniGQ4wiNFKtg5zyRSdHLni9Rv\n",
              "UoikX1o8gv0j3TsKfT+5SPHJnf8a6ToYIlmXFo+ASCKiIsWmX94DmX6Na0+kIekAH1/ZaAyR\n",
              "LEsR6VCk3YeYL9IQFylhrscPn9EYIlmWikXK3zvPJVJk/hWIdPkzLtLR5jx4HhqLIZJlqVCk\n",
              "kr2DSJtb965mdSKSdAREEnEekfbjiGRdikiHr9+jszOZcZRDkQ62JyIZjvBYkbJ3z7OJNFQU\n",
              "6XC2I5LhCBUeqbMTfJEKds/zibTzEBHJLotIapWHVBNp7zHaiBTfnohkOMKDRcrdP88n0s6T\n",
              "OwWRthsPkcSlxSM8VKT8/fOMIgUfY84DWUb6Pl0InxI0E6nUI0TSzL64SOFDkkSkvrZIRZ8v\n",
              "Pqq0yyKSWuUhVUUKPchykWaLQiJFt2epSOUeIZJm1nmO85IiBed3iUjje7zTG1SBUa1ESlvP\n",
              "vEq77PlF6tciZZvUvki983Njc1ssuI8r0jQUItmUFo9Q45HO+/5FRAq8g7R5nBkPxDu07Rze\n",
              "lwUiAyGS4Qj1RLruZHePnFmkzaeD9ETaXgwvGwCRDEeoKVIgfUaRxgMDIsUr7bKIpFd5hK1I\n",
              "y2HJuzUe3CUo0s6zuOhzu/3O8Nn0KYZIxqVZIm128ZlFWr8erCZSdIPudu68LTXFEMm4NFOk\n",
              "UPqsIq0fmUCknbN/iiIFXtN5MUQyLs0RabvfzynSzgOqKNL+Jt0XadWziiGScWmeSME0Ih2S\n",
              "J1LsVdJOZ/gY6sQQybg0ORs8J4RIaeyKlBBI6Qy9g+zHEMm4NEOkvff2EemQzZvYOYHjTveM\n",
              "+k4MkYxLs0QKp19FpPDJ/yRsRfLOA+7EEMm4FJHOINJhDpGsSxFpsz67j6dRkVJedSGSdWmO\n",
              "SDtpRDrEWKTjHCJZlyLSbX2SzqUhUr0sIilWHqAs0nIG+blE6hFJa4SHPNIlfRqR7o8j/c2d\n",
              "nPfgMlNZIiXkEMm6FJFGkWaZEOmwskIWkawrF7RFGk1CpMPKCllEsq5cUBdpGOIfGEWkellE\n",
              "sq5cMBEpymopRLLLvqJIuSY1KFLiI2hOpM0zUUSSjIBIIloUad+I1VKIpDgCIokwEGm1ICJV\n",
              "LS0eAZFEmIi0P73lIrkf9k4USeARIplnQyIl7DFEyqkKdPpf6BU5+B3enAQiWWfDIh3ustcQ\n",
              "afeHS7ZImzQiGY2ASCJsXiPt/radtkjRVTy4OQlEss6eRqTUaZYp0rS4skjed7UerOLBzUkg\n",
              "knUWkaILhr+KH5HMS4tHQCQRViLNKiFS3dLiERBJRLpIyUr4L2IQqW5p8QgNiRT7zKdO5YKW\n",
              "SCnrPC/qXkt6Q3YzOiJZlxaPgEgi0j1qQqTdsxh7N0VuTgKRrLMnESljfdoQaUAkmxEaEen+\n",
              "uhqRVsvJRFpvUEQyHKENkXpECi5XJpJ74s9PI5LZCE2I1CNSeLn1BkEk69LiEVoQady9iBRY\n",
              "rqgOkYQ8q0j35zCxL+HRqVx4jEjO40Mku+yrirQ8uzu5SD0iVcm+qEje6QbbyoUXEckf7Pvg\n",
              "bGRE0h2hASFHu5MAAAxQSURBVJHGv4fTi1T/qR0iVRvh8SI5N51apME7m70bjG4DRLIuLR7h\n",
              "0SJ5nF2koapImyfLvkjJ1YhkXYpIzytSqAaRBCM0JdLxPkOk9Jq4SOnViGRdikj5Ik0P8MEi\n",
              "BVsQSTACIonIXZ9mRMqoRiTrUkR6VpHCJYgkGAGRRDyrSDndiGRdikhPKtJeR84rpzQQyTr7\n",
              "siL1B8EqIuV0I5J5KSLlr089kbZn5yaRdisQqXwERBLRpkg7p7lnkbK6Ecm8FJEQ6QBEss6+\n",
              "rkh9PGgp0v57sZFuRDIvRaSC9akrkjfc4T+9h0jlIyCSCESKg0jWWUSK3y+rQyQZiJTKI0Xq\n",
              "o0FEEmcRadpp+/vu+UUaqou0vAmMSHYjNCrS3s5DpOQOV6Sjn0+xbkQyL0UkfZHi0zZDpEWe\n",
              "nX/9L7UckcxLEal9kYbxCwM3H7xLLkck81JEKlqf6Jy2EWnSKWHNtrc9aoogkiA9PQc5v0g7\n",
              "j9BCpOlvRDIcoTGRhtcQaX9Sm4kU6YyWI5J9qYlI94+DnV2kXWF0RHKsif2jsSnliGRfaiHS\n",
              "0Ed/dp5DpMjrFUORjtOIVD4CIokoFGlfGESSZxHpSvQVxElEGiqKlJNGpPIRmhNpOL1IN+xF\n",
              "KkgjUvkIDYoUO1GLSKnDI1Ld6vZEir7jcXaRDs6sIZJ1afEIiCTibCJtU4hkX2okUuxfZUak\n",
              "1OFLRAq9OkUk+1IrkSLzCZFShy8SKWASItmXItLpRNqqhEj2pYh0QpFW0csVRLIuRaQziuSv\n",
              "BCJVKLUTaXdCIZJgeEQyHAGRRLQqkiiNSIiUCiJFcFaiR6QKpScVabyv69YXNNfnaUR63BRB\n",
              "JIV0gUg58z8m0hjrpqW62OLKIh397h0iWZcWj3AakbLmf/Seblmgcy5krs8BzYs0fXsGItmX\n",
              "tiRS3vyP3tF5C7yuSNN3tCCSdWlDImXO/+PXSN301PAFRRpmh27rg0jWpQ2JNOTN/wSRpqeG\n",
              "LypSj0j1SlsUKW3+pxyRxj8PRCql79Nvrc7Votu6NLI+UMzuHtSZ/3oiRcaJEvxJcfiFWdWO\n",
              "SOP3HHFEqlLa4hFputi6SMF/YqU1kXpEqlKKSOcVaXyhJC1FJOts6yJZvyHbvkjzbyYhknVp\n",
              "gyLJ35Ct9BEhRLLLItLCAz8ilMU5RbqDSLVK2xIpiyZFOvSoukjiUkSyziISIlllEWkBkXTr\n",
              "StKIVKvUcrfuTKrzibT6nQWjupI0ItUqRSQVkeZH2phIGqWIZJ1FJESyyiKSAyKp1knSiGRd\n",
              "ikiI1GIWkRwQSbVOkkYk61JEUhXp2CNEMi8tHgGRRCBSg1lEckAk1TpJGpGsSxEJkVrMIpID\n",
              "IqnWSdKIZF2KSIjUYhaRHBBJtU6SRiTrUkTSEWn78VX1OkkakaxLTXdreFohkgBEMhwBkUQo\n",
              "ipTgESKZlxaPgEgiEKnBLCK5IJJmnSSNSNaliIRILWYRyeXsIg2zP4iknEUkF0TSrJOkEcm6\n",
              "FJEQqcUsIrkE51XKZEsCkcxjj8sikktYpBMdkaZ/qnVAJOUsIrmEvxv7vCIlHWwRybq0eITn\n",
              "EulMr5EQySqLSC7uxOrnuXZGkZYLdnWSNCJZl1YX6VRn7RDJKotILucXaZYIkXSziOThfbv8\n",
              "NNUQSQAiGY7wLCL1twMSIklAJMMRnkekHpEQyby0eISnEel+FZEEIJLhCIgkQrazx+PsLJNd\n",
              "nSSNSNalFUXSqVxAJPPY47KI5IFIinWSNCJZlyISIrWYRSSPFxBpOq+PSKpZRPJAJMU6SRqR\n",
              "rEsRCZFazCKSByIp1knSiGRdikg6Ijm/JmtVJ0kjknUpIol39iRS4pdRIJJ1afEIiCQCkRrM\n",
              "IpIHIinWSdKIZF1aSyRnliGSAEQyHAGRRMhFuv+JSIpZRPJ4CZHuIJJqFpE8EEmxTpJGJOtS\n",
              "RNITybhOkkYk61JEQqQWs4jkM88uRBLXSdKIZF2KSIjUYhaRfBBJr06SRiTrUkRCpBaziOSD\n",
              "SHp1kjQiWZcikppI1nWSNCJZlyJS7Z2NSNalxSMgkghEajCLSD6IpFcnSSOSdSkiIVKLWUTy\n",
              "QSS9OkkakaxLEQmRWswikg8i6dVJ0ohkXVpJJPddFkQSgEiGIyCSCERqMItIPoikVydJI5J1\n",
              "KSIhUotZRPJBJL06SRqRrEsRCZFazCKSDyLp1UnSiGRdikiI1GIWkXwQSa9OkkYk61JEQqQW\n",
              "s4i0YjQIkeR1kjQiWZciEiK1mEWkFYikVidJI5J1KSIhUotZRFoz/etBWpULiFSnFJGss4hU\n",
              "tU6SRiTrUkRCpBaziLQGkbTqJGlEsi5FJERqMYtIG64Oed/ni0gCEMlwBEQSgUgNZhFpAyIp\n",
              "1UnSiGRdikiI1GIWkTYgklKdJI1I1qUVduvFIkRSqJOkEcm6FJEQqcUsIm1BJJ06SRqRrEsR\n",
              "CZFazCJSgL5HJIU6SRqRrEsRCZFazCJSAERSqZOkEcm6FJEQqcUsIgVAJJU6SRqRrEur7FZE\n",
              "0qiTpBHJuhSREKnFLCKFQCSNOkkakaxLEQmRWswiUgjPo+ZEAnhpEAlAAUQCUACRABRAJAAF\n",
              "EAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACRABRAJAAFEAlAAUQCUACR\n",
              "ABRAJAAFtET63/C/y/+ni+P/xruWK/5d//OuuHdthti7a7wcHD20Tt7KStbp+K7AuofXab4W\n",
              "WadBZ5127zLbdwqbMLCdBuF2Gty7dEAkqwmCSEqbMLCdEKloZyDSgEjedkKkop2BSAMiedsJ\n",
              "kYp2BiINiORtJ0Qq2hmINCCSt50QqWhnINKASN52OrFIHcBToiXAo8cpC8pWuzAtKX1IVr5z\n",
              "C0Z41FYqTD9cAK1xEMkui0jWlQ2Ng0h2WUSyrmxoHESyyyKSdWVD4yCSXRaRrCsbGgeR7LKI\n",
              "ZF3Z0DiIZJdFJOvKhsZBJLssIllX6o8D8NIgEoACiASgACIBKIBIAAogEoACiASgACIBKIBI\n",
              "AAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASgACIBKIBIAAogEoACiASg\n",
              "ACIBKIBIAAogEoACiASgACIBKIBIAAoci7S/xPxPQnv/OPR8xbmxG9a3RIt2ltoOKOpL6jRp\n",
              "Da/BclF5w24qj/4xb69V2t+t/o616WzghH+uXH+nCkTqpjs7d6nQrdPqxfvmVd1Z5+2Asr6U\n",
              "TpvW9firi9obNtgY2xHuuoj75x8Kx21KG/ig0KRTINLc4O2Y0K3dsnqxwoNJvR1Q2JfQadS6\n",
              "LXAvqm/YcOH+zPf+7Na35vZ38fsNNnDaI1w/QOEWThRpPOh1ziFuNXi3yngmp4nkPzanctXX\n",
              "bUYp6tvtXPept4YGWYZX37CbQudKN82X9ZOZ1UqV93siTft0HVPdwP4jcZ8nb5bS26lpIs2l\n",
              "y2ZI39/DatX2i9xJ7VVu+mKPPrVvtzO8nxVbQ4MUiFRY2fkXb/+5IySLlNbvTkbPF7MN7G06\n",
              "dy55D71bLy3qTBOp8y4E9/dG9tAGOjzZsGxov3LTt9m9BX27nbuPUqs1sAa7Iils2E1lt26K\n",
              "TB1xf0ggZ2CDDexOme08Wg+htFOTRJpHkol0oLU3qf3KTV/Soz/+MRLpLN7PCa2BNRCJlFk5\n",
              "DOunWOEx3b1d3q8u0uGjTRDJWUppp6aJNE2vXZE2mztwd7ddclu0bHe30qQv3mn1KANrEBPJ\n",
              "onIpns4TB6fOdtiifufRuZPSn8eqj9YTyX+IgcWUtvDxnRutA/t7uzJSkfzK8IDCvv3OlP0s\n",
              "aXWHiIuksmF322PbtpvmYDeElsoU6b5FK21gT6TNjevFlHaqikiB3V1PpOK+/c6E/SxqdceI\n",
              "iqSzYQOtg/+AgyL5ixf3F4okeLTu0Nt5ZNOZIdL6NdKynqHd7T4MfwsetgUqdwaU9e13Dl1s\n",
              "WHnrqrwb/IeqvWFDtUvB1B4u2LmQ0T9NyM5b0HK3bnzwHuswhE5SSjuP7p3eZ7j+vRZpcO70\n",
              "PtSy3L5+aMcfEVoes1u5ibvrUNq332nd6g4zJTq7DRuq9YOdP0LoI0LF/d6MXJ0wXId1NrD/\n",
              "lDT4PpL+Ts3ZAS/Ei22WF3u4FrAJg7zYZnmxh2sBmzBA1hOlM/Bqj9cANiGAAogEoAAiASiA\n",
              "SAAKIBKAAogEoAAiASiASAAKIBKAAogEoAAiASiASAAK/B8OPDXpma4xqgAAAABJRU5ErkJg\n",
              "gg=="
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": [
              "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAAOVBMVEUA/wAzMzNxcXGGhoaW\n",
              "lpajo6Opqamurq64uLjCwsLKysrS0tLZ2dng4ODn5+ft7e3z8/P19fX////pUjd4AAAACXBI\n",
              "WXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2diYLiSLIEUU9fM30u//+xW9w6UiIzwiMkhNl7\n",
              "20MVeLqOtBISFHU4AoCbw9oLALAHEAlAACIBCEAkAAGIBCAAkQAEIBKAAEQCEIBIAAIQCUAA\n",
              "IgEIQCQAAYgEIACRAAQgEoAARAIQgEgAAhAJQAAiAQhAJAABiAQgAJEABCASgABEAhCASAAC\n",
              "EAlAACIBCEAkAAGIBCAAkQAEIBKAAEQCEIBIAAIQCUAAIgEIQCQAAYgEIACRAAQgEoAARAIQ\n",
              "gEgAAhAJQAAiAQhAJAABiAQgAJEABCASgABEAhCASAACEAlAACIBCEAkAAGIBCAAkQAEIBKA\n",
              "AEQCEIBIAAIQCUAAIgEIQCQAAYgEIACRAAQgEoAARAIQgEgAAhAJQAAiAQhAJAABiAQgAJEA\n",
              "BKwtUrdyP4AEpUjfuq77Mv2iu/DP97+XLx6Bv98/dZ++W9NX/vt8euzP22M/nb/5qbs9dDAs\n",
              "QBBKkbquN9EfX3Q3Pv0dqvDnPN27z7b0lc/Xu7/fHvvnNPIoL1zJt+fPx4+mz79Ot359bPsv\n",
              "v67f/n7ZyKfvff71eHTpMeN7HiNe+Nv9Y6l63DMe8Mc/3T//jR6jRijSr/Oc/TX54q7CabL3\n",
              "Z/XH6v74+L/uX1P6wo/73T+vj/1x/+5kWPBz+Rl12qJ/L7d+n7/9/bK5f973xYXSY8b3PEa8\n",
              "8uMyIxqrHveMB7zMhv8Gj5EjFOljEb9cjgzDL65T+sf5aVdfhdPtj/+7/PxpTl/4fH7Y3y/n\n",
              "A9vpuNV9+/jul+7T9aGDYcHPt9PG/H7aZ/+dbn27TPpv1839z2n6/rodUcqPGd/zGPHK56sx\n",
              "bVWPe8YDnh758/qc/9t0CmkQivRP1/29naP0v+g9ySqJZE0/xjhefmSdv/hy/vr8324yLPj5\n",
              "dN6sp4375TTff59PQD99+tXdv3/790TpMeN7Po0yx9vuaqt63DMZ8PHlaCGE6ET6czqp/3I5\n",
              "Rxl8MXtM+TiafOvM6fsY9+fOp7v/Oz0B+H3+bzceFmScftz35uv320T9cjlM3K/ulB4zuec+\n",
              "4oWfwycQtVXjgv6x6j7o94lgKnQi/Xc6PflxfS7a/2L2LOd8/nK53mZI98bovvw4XdM73f3r\n",
              "y0fqvw+5Lg8dDAsqfp426PCQcP3v9+ueOva/O3pM4Z7LiBe+DU5pq6tGBT8H+/zLQ7jNi/T5\n",
              "9HP/7/UiXP+LuwnXLx6Rn+fLdp//2tL9Me7S/f7344Gfu39/Xx46GBZE/Pl02RnH42R2fzn/\n",
              "XLs/slaky4jXe/pPxOurhgX9AT/4/s/9kZsX6XLR4HROMvriJkL/2sGNH7efKqb0dYxvZ5d+\n",
              "XET6dT4p+nUVaTAsaLhO0tLs/n76gXa6NHDeacXHlO7pT/tf58tF7VX9R9z9e0yYH7eD19ZF\n",
              "+nk/dPwcfdENfxCNzgF/n09+jOkbv7+djTmJ9GHRxzH/70WkwUig4fd11l9n9/X4MbgC8Gmk\n",
              "S/8xhXt+9w8f33v7qqXq8b17ri9S8bAoRCbSt/uc/Tb6Ylmky3eM6fNbGP7e7zmJdDr8fEj1\n",
              "ezosSPhxe5L0z+NS2nE0u3vXYqePmdzzY/AE7dPjQU1Vva+GA36M+Pf4OiJ9us/ZT6MvZlX4\n",
              "1F1eRxoH6tIXvl3Osb7fHvv7LM+3q0iDkUDBr/v55vfLD73rOf3tUtqP0/Ot+wGm9JjxPb8G\n",
              "Z7B/Hj/z2qoe9/wanRJ/P70A9d9t3I2L9Pv2Q//L5QTl8cVEhSvn2f+j+3M6R7KkL3f8vn/n\n",
              "v+u3Tqddl/Ol4bCiFX13Pt93wHXTX88+L7vp+r3ft0eXHjO+5zHiiX8fz+zaqh73DAc8Hv+e\n",
              "f55++jNdCCEqkf69vDfnPI//HXwxr8JlBU8HC0u6u51zXvhyvH7r92Xrnm4PRwIFjx0wfLPb\n",
              "dTf9/viZ9aU3uUuPGd3TG/F4ehZnrbrfMxzweHnv3bc/w7QalUj3C2MfR5h/Bl/Mq3B99/df\n",
              "W/p2x6/Tc7nPP653D/4djgQQB7+PBCAAkQAErC0SwC5AJAABiAQgAJEABCASgABEAhCASAAC\n",
              "EAlAACIBCEAkAAGIBCAAkQAEIBKAAEQCEIBIAAIQCUAAIgEIQCQAAYgEIACRAAQgEoAARAIQ\n",
              "gEgAAhAJQAAiAQhAJAABiAQgAJEABCASgABEAhCASAACEAlAACIBCEAkAAGIBCAAkQAEzIvU\n",
              "fTC5kbJMAOvTOP9nRequ/yvcANg9rfN/TqTu9u/0BsDuaZ7/y+dIXe8GIsG70TD/EQlgDpVI\n",
              "/XEQCd6NlvmvEukrQIHDB2svwzIJIg3GiToiLa2IOuVMe0pXyfq2knGEfuRwIbLOm14INc3/\n",
              "hZUcjoNIiNQYuUrUYNKmRGqb/wsvyI5uIBIitUQex6LXFKlx/i++IDu9ob/WgEhx2TVF6j2l\n",
              "e0mRWuf/7AuyF3o3gt4ihEhx2RVF6j+fq39utx2Rmuf/6m9aRaS47HoiDd0ZS3WYuwixHZGa\n",
              "QaSc0vcSaSTJ46vDEEGdN41I6Z2IVB0ZKdK77HBYPHlCJDuIFJddS6SJIHPHoPHXiGQHkeKy\n",
              "2SLNPmWbfWkWkWQgUlw2V6T5U5+ljLluCiJlpZxpRJqlZ1DrQcxSVwaRslLONCLN0T8QNZYi\n",
              "kghEistmiTR4NtcqUn8GIpIdRIrL5og0OitqLUUkDYgUl80QaXJ1oVkk+9FsBCJlpZxpRJpQ\n",
              "uEjXXIpIEhApLhstkuZtPr0hEMkOIsVlg0Uqv2TUXvoYBZHsIFJcNlakmVdeDaWIJACR4rKh\n",
              "Is29g8Ei0m0kRLKDSHHZSJFm3wlkKUUkP4gUl40VSVhqfFeEoBmR8jsR6cyzd6aaSq/DIZId\n",
              "RIrLRoj09B3etlLLG14lzYiU3olIJ57+kgQirQMixWUDRHr+20aItA6IFJcNESmmFJG8IFJc\n",
              "FpGCQgUQKad0JyJV/B65VaSDOetqRqT0TkSq+vRhYykiOUGkuCwiBYUKIFJOKSI9AZGcIFJc\n",
              "Vi5SzUdtmUU6IJIHRIrLBogUV4pIPhApLotIQaECiJRTikjPQCQfiBSXfTGRDojkAJHismqR\n",
              "qj7W21yKSC4QKS6rFymyFJFcIFJcVixS3d+ZQKR1QKS4rFyk2NLDAZHsIFJc9sVEqizQNiNS\n",
              "eue7i1T5F8Q8pT6TECkr5Uy/vUjhpYhkB5HisogUFCqASDmliFQDItlBpLisVKTaP7LsE8kz\n",
              "HxEpK+VMv7tI8aVfEckMIsVlESkoVACRckoRqSqLSGYQKS6rFKn69AWR1gGR4rJCkeovA/jW\n",
              "1GMSImWlnOk3FqnhcppzTRHJCCLFZWUitVyW9opkn5GIlJVypt9WpKaXd7xrikg2ECkuKxKp\n",
              "7WVSt0jmKYlIWSln+k1Fany7gXtNEckEIsVlVSKllV4PgJ50SqgAIuWUIlJ9FpEsIFJcViJS\n",
              "6xtJBSIZJyUiZaWc6XcVKa/0drXdlU4IFUCknFJEasgaD0mIlJVyphEpuhSR7CBSXFYhUvPv\n",
              "2inW1GYSImWlnOk3FSmxFJHsIFJcFpGCQgUQKacUkVqyiNQOIsVlBSK1fxwJIq0DIsVlJSJl\n",
              "liKSHUSKy76sSDaTECkr5UwjUnQpItlBpLisf5IYPrERkdYBkeKyCpFSSxHJDiLFZREpKFQA\n",
              "kXJKEakpi0jNIFJc9nVFMpmESFkpZxqRokt72axmRErvRKTw0n4WkdpApLjsa4uUc+EdkdI7\n",
              "ESm8dJDNeZcfIqV3IlJ4KSLZQaS47GuLlPNL7oiU3vmGIqVdhC5mEakFRIrLeieJ6W8jI9I6\n",
              "IFJc1i+SYQREWgdEiss6J8nHREakWhApp/QFRTogUgOIlFP6eiKdT5AQqRZEyil9OZEuFxoQ\n",
              "qRZEyil9QZGMIyDSOiBSXNZRep3Eq4qU8peZECm9851EOmxCpMbZiUhZKWf6fUS6vxK7tkjx\n",
              "f70WkdI730ok+wjSNUWkahApLrsDkVrmJyJlpZxpRAotLWZbTEKkrJQzjUihpeUsIlWCSHHZ\n",
              "XYhUP0M3KlL3we3m/Tui1h6IFJe1Bh+Td32RGn7Ua0VqnP+zi9n1Bxh/RwgixWX3IVK1SVKR\n",
              "Wuf/3FI+sh//dKPvKEGkuCwimUPN8395Ka8SIpK7FJHM2WqT9OdIDfP/uUhHRBKUIpI5u7JI\n",
              "R4FIg5MtRHoXkXoz971Fapn/KpG+wm44HNZeggHBi5MgUje4wRGJI1Jg6Xx2tSNS0/xfWMhu\n",
              "eAuRECmwdD67lkht83/hBdnRTURCpMDS+exKIjXO/8UXZIe3eUE2v9KXtQX7E/d9RWqd/7Mv\n",
              "yF4YDMpbhNIrfdl9iFRtkvQF2db5z5tWc0oRyZ5dQ6RmECmnFJHsWUSqAZHisogUFCqASDml\n",
              "ryPSYNoiUi2IlFOKSPYsItWASHFZRAoKFUCknFJEsmcRqQZEisvuRKRakxApK+VMI1JY6XIW\n",
              "kSpApLisJTictIhUCyLllCKSI4tIFSBSXBaRgkIFECmnFJEcWUSqAJHisogUFCqASDmlryLS\n",
              "aM4iUi2IlFOKSJ5snUmIlJVyphEpqPRpFpGeg0hxWUQKChVApJxSRPJkEek5iBSXRaSgUAFE\n",
              "yilFJE8WkZ6DSHFZRAoKFUCknNIXEWk8YxGpFkTKKUUkTxaRnoNIcdndiFRnEiJlpZxpRIop\n",
              "rcgi0lMQKS6LSEGhAoiUU4pIriwiPQWR4rKIFBQqgEg5pYjkyiLSUxApLtscnMzXrYhUZRIi\n",
              "ZaWcaUQKKa3KItIzECku2xo8IJIZRMopfRGRBNWItA6IFJdFpKBQAUTKKX0FkabP7BCpGkTK\n",
              "KX0NkRTViLQOiBSXbQsWDkjbEanGJETKSjnTuxdJUo1I64BIcVlEclU2gUg5pdsXqfTMDpGq\n",
              "QaSc0lcQSVONSOuASHHZlmDxgIRI1SBSTukLiCSqjlrT5yYhUlbKmUYkdWlLFpGWQaS4bEOw\n",
              "/MwOkapBpJzS7YukqkakdUCkuCwi+SpbQKScUkTyZhFpGUSKy+5MpGdzFZGyUs40IolL27KI\n",
              "tAgixWURyVnZACLllG5cpLlJui2RnkxWRMpKOdOIpC1tzSLSEogUl0Ukb2U9iJRTikj+7LPn\n",
              "doiUlXKmEUlb2pxFpAUQKS6LSO7KahApp3TbIs3O0K2JtDhdESkr5UwjkrTUkEWkeRApLotI\n",
              "/spaECmnFJEU2eXndoiUlXKmEUlaaski0iyIFJdFJEFlJYiUU4pIkuzicztEyko504gkLTVl\n",
              "EWkORIrLIpKisg5EyilFJE0WkeZApLjsDkVaMgmRslLONCJJS21ZRJoBkeKytcH5yYlItSBS\n",
              "TikiibKINAMixWURSVJZBSLllCKSKItIMyBSXBaRJJVVIFJOKSKJsog0AyLFZSuD2rmJSOuA\n",
              "SHFZRJJUVoFIOaWIJMoi0gyIFJfdo0jaEzpEWqETkZSl5iwilUGkuGxdUPyGakRaB0SKyyKS\n",
              "prIGRMopRSRVFpHKIFJcFpE0lTUgUk4pIqmyiFQGkeKyiKSprAGRckq3K5L6o+IQaR0QKS6L\n",
              "SJrKGhAppxSRVFlEKoNIcVlE0lTWgEg5pYgkyyo/8giRVujcq0jiakRaB0SKy/qeKRmrEWlE\n",
              "98HtxnF4QwkixWWrRFJX70Wkxvk/ux276/8KN6QgUly2Iqj/Q+E7Eal1/s8tVHf7d3pDCyLF\n",
              "ZWtEklfvQ6Tm+b+8IRFJVbpRkZ4ckN5XpAuIFJLeo0j6akQqjoNImlJEkmXzRGqZ/yqRvsIL\n",
              "cjisvQQGxAudINL9WgVHJHfpNo9IT19FfOsjUtP8X9iU3fBfRNqdSM8uNby3SG3zf+EF2dFw\n",
              "iLQ/kSKq9yJS4/xffEH2foMXZL2lWxTp+QHpjUVqnf+zL8heuN68f695OZ+CSHHZ5WCFR+8r\n",
              "UvP8502rOaWIJMu+2ptWk0CkuCwiiSorQKScUkSSZRGpCCLFZRFJVFkBIuWUIpIsi0hFECku\n",
              "u0+RZhcckbJSzvS+RKrxCJGqQaScUkTSZRGpBCLFZRFJVfkcRMopRSRdFpFKIFJcFpFUlc9B\n",
              "pJxSRBJmZxYdkbJSzjQiuUs1WUQqgEhx2aVglUeIVA0i5ZQikjCLSAUQKS6LSLLKpyBSTiki\n",
              "CbOIVACR4rJ7FWlm4REpK+VMI1JQpDmLSFMQKS67EKzzCJGqQaScUkRSZhFpCiLFZRFJV/kM\n",
              "RMopRSRlFpGmIFJcdrcilRcfkbJSzjQiBUXas4g0AZHisvPBSo8QqRpEyilFJGkWkSYgUlwW\n",
              "kYSVT0CknFJEkmYPpRVApKyUM41IQRFDFpHGIFJcdjZY6xEiVYNIOaWIpM0i0hhEisvuWqTp\n",
              "KiBSVsqZRqSgiCWLSCMQKS6LSNLKRRApp3RTIlV7tGmRJiuBSFkpZxqRgiKmLCINQaS4LCJp\n",
              "K5dApJxSRFJnEWkIIsVldy7SeC0QKSvlTO9FpHqPtizSdDUQKSvlTCNSUMSWRaQBiBSX3btI\n",
              "o/VApKyUM41IQRFjFpH6IFJcFpHUlfMgUk7ppkQKrUakdUCkuGw52HBA2rpIwzVBpKyUM70X\n",
              "kWKrE9cUkXogUly2GGw5ICFSNYiUU7ohkYKrEWkdECkuWwo2HZA2LtJoZRApK+VM70Ok6GpE\n",
              "WgdEissWgm0HJESqBpFySjcjUng1Iq0DIsVlp8HGAxIiVYNIOaXbEKnVI0SqBpFyShEpIotI\n",
              "DxApLotI+so5ECmnFJEisoj0AJHisuNg8Y+hqKsRaR0QKS47FSmhOnVNB2uESFkpZxqRgiL2\n",
              "LCLdQaS4LCIFVM4tiWgcM4gUl0WkgMq5JRGNYwaR4rKjYPu1BkSqXxLROGYQKS47ESmjGpHW\n",
              "AZHisogUUDm3JKJxzCBSXBaRAirnlkQ0jhlEissOg4ZTJESqXxLROGYQKS47FimlGpHWAZHi\n",
              "svsXabBSiJSVcqYRKSjiyCLSDUSKyyJSROXMgojGMYNIcdlB0HKtAZHqF0Q0jhlEisuORMqp\n",
              "RqR1QKS4LCJFVM4siGgcM4gUl0WkiMqZBRGNYwaR4rKIFFE5syCiccwgUly2HzR5tH2R+uuF\n",
              "SFkpZxqRgiKeLCJdQaS4LCKFVJaXQzSOGUSKyyJSSGV5OUTjmEGkuCwihVSWl0M0jhlEisv2\n",
              "gjaPEKl+OUTjmEGkuCwihVSWl0M0jhlEissiUkhleTlE45hBpLjsO4jUWzNEyko50y8skumt\n",
              "37ZqRFoHRIrL9kVKq0akdUCkuCwixVQWF0M0jhlEissiUkxlcTFE45hBpLgsIsVUFhdDNI4Z\n",
              "RIrLIlJMZXExROOYQaS47D1o9QiR6hdj4b7u+p9ufEMJIsVlb0GzR+8tUtP8X9jE11h3G/J+\n",
              "QwoixWXvImVW70aktvk/v427R/z872NYKYgUl70G7QekVxDpsXpakRrn/+w27o6IJCxdUSSH\n",
              "R28sUuv8f3qOhEiS0jVFyq3eiUjHlUT6ChvlcFh7CYJxrmCWSJdzLI5IztLVjkieJ3YckY7V\n",
              "87/y8jciOUvXEsnnESIda+d/hUjXm4iESEERXzZapOtNLjbI0ogUFPFlX+RiAy/ISkoRKSyb\n",
              "cY40uFFeioUO3iKkK0WksGzGOdLwRnEpLOVKECkui0hBlaWlEI1jBpHisl+9Hr2ESPeVRKSs\n",
              "lDONSEERZxaRTiBSXBaRoioLCyEaxwwixWURKaqysBCiccwgUlwWkaIqCwshGscMIsVlv3o9\n",
              "QqT6hRCNYwaR4rKIFFVZWAjROGYQKS6LSFGVhYUQjWMGkeKyiBRVWVgI0ThmECkui0hRlYWF\n",
              "EI1jBpHisogUVVlYCNE4ZhApLuv26DVEuq0nImWlnGlECop4s4h0RKTILCKFVU6XQTSOGUSK\n",
              "yyJSWOV0GUTjmEGkuCwihVVOl0E0jhlECsv6PUKk+mUQjWMGkcKyiBRXOV0G0ThmECksi0hx\n",
              "ldNlEI1jBpHCsogUVzldBtE4ZhApKntApLjK6TKIxjGDSFHZw8E/SRCpehlE45hBpKjs+4h0\n",
              "NQmRslLONCIFRfxZREKksOxbiXSwphEpvfPFRDq8k0hHREKkmOzpmt07iXRApLyUM/06Ih0O\n",
              "B/PMclavtZWsPzcQKb3zZUQ6XD16K5GOiJSXcqZDp8jCjjCIZAv6q52lLpFsp4SIlN4ZOEXu\n",
              "xxBF72OgtxLpiEhpKWc6aIoc7kh6e8O8mUimuYxI6Z0xU+Sh0KxKTb39MRApuLLfLhrHzHuL\n",
              "NDgQzZmESHWYTEKk9M6AKTJWp2xSS+8BkTIre+Wiccy8s0hTb4oHpTaRjMEyiFRdLhrHzBuL\n",
              "VJKmdNEBkepApKyUMy2eIjNnRFOVGnoPiJRa2SsXjWPmTUVautw9vqtJJGNwBkSqLheNY+Yd\n",
              "RVp+2ejoOLAgUm5lr1w0jpn3E+mZRdfHWHrth7IZEKm6XDSOmbcT6blF10cZeu0nVzMgUnW5\n",
              "aBwzbyhSVaDnGyLVgUhZKWc6VaSeSdW9jst9MyBSdbloHDOINMvNiwaR5kqtIFJ1uWgcM4g0\n",
              "T+Pv501Ovt5OJMNsRqT0Ts0UadrZl+t79SLNlZp5KZFMfzIXkdI7RSK15SoulfceO1dqBpFq\n",
              "QaSc0lu2fV/XiuR8k14ZRKoFkXJKr1nT+XBVqHTkej+R2jcvIqV3blmk8hPAdxPJsnkRKb1T\n",
              "MEVsf2nleWjmRAqRoisfIFJO6U0kS7ZGpIVSD4hUCyLllPpEevoW16VSDy8nUvMGRqT0TvcU\n",
              "abiSPcw+yYk+x0s0wpoiGX5SIVJ6p3eKWD16+pNW9cmSmhEQaR3eRSSzRjcJZ++WfUSrZoSV\n",
              "RWrdyIiU3ukqdXh0fVo4P/Ji0MeridR+SEKk9E5PqesvjH+9jDA38pOgC0SqBZFSSj0ePV6D\n",
              "KrzxbtFQRIqufIBIKaUCkR4ftj8Yd2lgRIqufIBIGaWuZ3bD3oFJT8Z9Q5GaTUKk9E6XSMLp\n",
              "dejTEvRXB0UkWUTKSznTGxHp+R9Umgv6q2Mikiwi5aWc6a2IFB/0jIBI6/AOIh0QKT6LSHkp\n",
              "Z9oh0jrTC5GiKx8gUkIpIiVkESkv5UxbS1s+CUjZi0jhlQ8QKb70tG8RKTqLSHkpZxqRoksR\n",
              "yc7+RTogUkb2lm40CZHSO+0i2bOeXkSKr3yASOExRErJIlJeyplGpOhSRLKDSFG9iBRf+QCR\n",
              "omOXHYtI0VlEyks504gUXYpIdhApqNdZah4BkdYBkYJ6naXmERBpHRApqNdZah4BkdZh/yJ5\n",
              "Kn3ZNxWpaU4jUnqnLdb6l8lVvd5S8whri9R4SEKk9E5T7LZXESk6i0h5KWfaJJKv0pdFpOjK\n",
              "B4gUGjsgUla2J1LLpEak9E5D7LFLESk6+0gjUnTKmTaI5K30ZREpuvIBIgXGDoiUl+2L1DCr\n",
              "ESm9sznW35+IFJ3tpREpOOVMN4vkr/RlESm68gEihcUOiJSZ3bBI3fU/3fiGkt2KNNybiBSd\n",
              "HYhUb9JCZdP8X2i8xrrbkPcbUvYq0mhfIlJ0tp+WiNQ2/+cbu0f8/O9jWCmIpO1VlZpH2ItI\n",
              "jfN/trE7IpInhkg5dcV0w3O7ucrW+f/8HKk79o9qiFQJIuXUldN+kY6N87/+YgMiIVJ06RZF\n",
              "qpz/qiPSVxhyOKy9BO9Mw9bXzP/nInGOZItxRMqpK6frT5KeiSQ7R0IkWwyRcupm0ogUmXKm\n",
              "ESm6dM8i8YKsLYZIOXUzaZlI/hdkeYuQK4ZIOXVz6VqTEt4ilAMiaXtVpeYR9iNSE4gUFEOk\n",
              "nLq5NCIFppxpRIouRSQ7OxVpvB8RKTqLSHkpZxqRoksRyQ4iSXtlpeYREGkdEEnaKys1j4BI\n",
              "64BI0l5ZqXkERFoHRJL2ykrNI2xEpFqTECm9E5HCSxHJzj5FmuxFRIrOIlJeyplGpOhSRLKD\n",
              "SMpeXal5BERaB0RS9upKzSMg0jogkrJXV2oeAZHWAZGUvbpS8wiItA67FGm6ExEpOotIeSln\n",
              "GpGiS6W7tc4kRErvRKTwUkSyg0jCXmGpeQREWgdEEvYKS80jINI6IJKwV1hqHgGR1gGRhL3C\n",
              "UvMIiLQOexSpsAsRKTo7TVeZhEjpnYgUXopIdhBJ16ssNY+ASOuASLpeZal5BERaB0TS9SpL\n",
              "zSMg0jogkq5XWWoeAZHWYYcilXYgIkVnESkv5UwjUnSpeLfWmIRI6Z2IFF6KSHYQSdYrLTWP\n",
              "gEjrgEiyXmmpeQREWgdEkvVKS80jINI6IJKsV1pqHmFDItWYhEjpnbWx4t5DpOgsIuWlnGlE\n",
              "ii5FJDuIpOrVlppHQKR1QCRVr7bUPAIirQMiqXq1peYREGkdEEnVqy01j7AlkSpMQqT0zmqR\n",
              "hJW+LCIhUkjKma6LlfcdIkVnESkv5UxXiqSs9GURCZFCUs50VWxm1yFSdBaR8lLOdJ1I0kpf\n",
              "FpEQKSTlTNfE5vYcIkVny+mnJiFSemedSNpKXxaRECkk5UxXxGb3GyJFZxEpL+VM14gkrvRl\n",
              "EQmRQlLO9PPY/G5DpOgsIuWlnOkKkdSVviwifYj0ZIYjUnrn89jCTkOk6OxMGpECUs70s9jS\n",
              "PkOk6Cwi5aWcaUSKLg0RaXmKI1J6JyKFl0bsVkTSp5xpRIouRSQ7iOTuDSk1j7A9kRbnOCKl\n",
              "dyJSeGnIbkUkecqZfhJb3GGIFJ1dEClqxwxaROOYQSRvb0ypeYTNiRS3YwYlonHMIJK3N6bU\n",
              "PAIirQMieXtjSs0jbFGkoJPXQYloHDOI5O2NKTWPsD2Rwq4CDTpE45jZjUhxF4cQyZlGJHHK\n",
              "mUak6FJEsoNIzt6gUvMIGxQp6m35gwrROGYCRVL/3vdiLPAFdETyphHJkzrMzu0YkexZT29U\n",
              "qXkERFqHMJFOGmk/rRGRoksRyU6ASIcrR/EHcSNSdCki2QkT6XpT17kYi/z9MUTyphHJkupv\n",
              "tUSR7FlPb1ipeQREWge5SIONVj5QIFLgCFsUKehz0gYNonHMqEUabbIkkUI/9QmR3GlEak5N\n",
              "RCpswwiR7IsLaS0AAAtuSURBVFlPb1ypeQREWgexSBNvDgWVEClwBERaB7lIhW+NVZKL9PSZ\n",
              "HSKFZxFJmipusbFJASLZs57ewFLzCIi0DlqR5g4NsSI9PyAhUngWkZSpuQ0WLZI96+mNLDWP\n",
              "sEmRYv5w1aBANI6ZLJH6dyBS4AiItA45Ih0RKWsERFoHqUjzJyuDe8QiVXiESOFZRBKmFqZ0\n",
              "nEg1HiFSeBaRhKk1RKryCJHCs4gkTC2K9LhPK5Ij6+kNLjWPsE2RZqcGIhVYfD0nSKS6AxIi\n",
              "hWcRSZdanNQxIlV6hEjhWUTSpfJFqvUIkcKziKRLLU/rx72IFDgCIq2DUKRnb3lDpIwREGkd\n",
              "pCIth+73y0SqeLeqr9KXRaQHa4rUnf+5cL0pau2RKNJ93gtFsmc9vQml5hE2KpLhMw6b5v/C\n",
              "TOjFuts/epOSRTrYOxEpvHRTIrXN//mZ0B2HA3WPIZVkinRTCZECR9iLSI3zf3YmdL3QXciX\n",
              "F+likkqk+lMkRArPikVqnf9Pz5FqB7KiE6lyVs9/tn5zacNAiBSdDTpHut8QiNRN/hUiFKky\n",
              "i0ihI2xVpPZP3W2a/yqRvq7O4RDx0JRxIIOZvbUxkczIjkgNh5mvtkPSuLTl0MYRKTq7kyOS\n",
              "GZVILc/Xvtqe3E1Fsmc9vSml5hEQaW6gwX+kItkvRRdEakqbTEKk6NJNilQ3/+tFCnhB1n4p\n",
              "GpGiS80j7FUk8wuyk4EC3iKkE6nJDI1ITVf/ECk6+zzd+pdJmub/ym9aPRxUIrWlTS8mTUSy\n",
              "Zz29OaXmEfYjUhNrv/vb+JqO51nWOW0xCZGiSxHJsQCaC2jtaUSKGQGR1kEiUuMgEpHaDmmI\n",
              "FJ1FJEtqPKcN6fbndp5SRIrOIpL/AppJpHaFESm6FJHs2N5loBHJFLOVIlJ0tiJd2mWI1MNo\n",
              "RKtJg9LGMCJFZxFpNZFar4GPRDJVWkAkUXrfIpkuN2hEajQJkaJLEcnOV9MyiESy/yqE62lh\n",
              "I4gkSu9eJO+7dTxXDcwi2StbQSRReu8iCV4bdaRtH2CCSBGliGTnq2kphCLVlyNSdGmwSKW9\n",
              "tjORMl8bNaeNp1aFyqQsIo3Zu0jNi6EUqbr8EfO+vSgpi0hjpvttbyIlvslgKlJlvH/VvK0Q\n",
              "keKzdem9i+R6WcZ9eGgXqbEQkeKzlSKNd93eRPK8dc0vUt0AtkUtV6ZkEWkKIhVThug4XT/C\n",
              "/eCJSEGliGRnIyINhpgZ73Y6J/jglJwsIk0Z770dimR9/6jiElp/jMOdUsz4yeGIFJ2tTe9d\n",
              "JPtHIEguod39OAyYxkSf1pKSRaQCpZ0qYEsiGd+IrbkWXbIHkXYo0nHvIpk/uFT0ok7hIIRI\n",
              "uxRpsAcRyZSbppc4TLe59Y8rIVJ0tmG36ipnBl0Dt0iRbzMoidRa1lipzCJSkcE+3KVIpl8N\n",
              "inybASLlluaIdNy5SMbfsQt9v87khxciRZZmidTbiYh0D4W+8W28zREpsjRJpCMiTVPR79fp\n",
              "ifrV7hEihWcR6c72RTJ7hEjhWeMz9j2KZPr4hPh3kN4bjH961lApyiLSHIg0TmW8FXvuLUOB\n",
              "lZosIs0xeL4u4fVFcnbW4PcIkcKzrc/YJZW9AUXjmHkFkXyx9bKINAsijVKIFFRqHgGR1mGw\n",
              "Iu2fjIVIQaXmERBpHRApLotIsyDSMJX666qIFF2aKdJBUdkbUDSOGUSKyyLSPHsXqXJ5ECm6\n",
              "1DwCIq3DcEUQSZlFpHkQaZBCpKhS8wiItA5OkQSd0bH1soi0wHWqIVLLwxc7o2PrZRFpgb2L\n",
              "VLdAX6+PVnRGx9bLItIC+xap6fPss3/LDpGiSxHJjkckUWdwbL0sIi2ASLdU+q+rIlJ0KSLZ\n",
              "MYuU/1t2iBRdminSdQLtVaTqP1W0wm/ZIVJ0KSIJqTPE4xHAUT2FNjgfEQky2L9IFcvk+vwE\n",
              "gOMbiFSzhngEXvYvUsUqIhJ40T6r2eaEfLqKiARuEAmPQID0kLTNGflUpJzFgH3zDiItLhcH\n",
              "JFCwf5GWVxGPQILyud1G5yQiQQLvINLCgiESaBAekrY6JxfWkHc1gIo3FylxOWDXvINIs0uG\n",
              "SKBC9+xms5Nydg15Zgc63lqk1OWAXbP7p3aIBC/FdmfljDA8s4MtsuFZWTYGj2CLbHlaFp1B\n",
              "JNgiW56WpWdxPLODTbLpaXk4jLwZfw2wEbY9Lw9DlfAItsrmJ2bPJTSCzfICU/NuEh7BZnmN\n",
              "uXk2CY9gu7zI5JxcdgDYFK8yO/EINg3TE0AAIgEIQCQAAYgEIACRAAQgEoAARAIQgEgAAhAJ\n",
              "QAAiAQhAJAABiAQgAJEABCASgABEAhCASAACEAlAACIBCEAkAAGIBCAAkQAEqET63/F/H/9/\n",
              "u3n9v+tdjy+Gd/1v8EX/rskQc3ddbxdHLy3TYGE9y/T8rsKyl5fp/tXCMh01yzR7V9i+E2zC\n",
              "wnY6OrfTsX+XBkSKmiCIJNqEhe2ESKadgUhHRBpsJ0Qy7QxEOiLSYDshkmlnINIRkQbbCZFM\n",
              "OwORjog02E6IZNoZiHREpMF22rFIHcBLIhJAJlJu0Lf6xrSndJWsf5IYRlhrKxnTiOQAkQJH\n",
              "QCQXiLTBLCJFVz5ApJxSRIrOIlJqnSeNSNGliIRIW8wiUnTlA0TKKUWk6CwipdZ50ogUXYpI\n",
              "AO8NIgEIQCQAAYgEIACRAAQgEoAARAIQgEgAAhAJQAAiAQhAJAABiAQgAJEABCASgABEAhCA\n",
              "SAACEAlAACIBCEAkAAGIBCAAkQAEIBKAAEQCEIBIAAIQCUAAIgEIQCQAAYgEIACRAAQ8F2n+\n",
              "4/rvfxJ68Meh71/0vtkdx99ZLJp51HRAV19VZ0hreQkeN8UbdlL57I95D1q9/d3ov0ttmg1c\n",
              "8efK9TvVIVJ3u7PrP6r03dviLY12f1Tvxkzf4BH2vprOmNbx+KOb6g1bbFzaEf1lcffffyg8\n",
              "bxNt4CeFIZ0Oke4Ngx1T+m73WLylxXkyqacDOvsqOoNapwX9m/INWy6cn/mDf7vxd1v7u+X7\n",
              "AzZw3RqOV9C5hStFuh70ut4hbjR4N8oMTK4TabhuvcpRXzcZxdQ32znuk7eWBnkML9+wk8Le\n",
              "F91tvoyfzIwWyt4/EOm2T8cx6QYerkn/efLkUbqdWifSvfSxGer393G0aPNF/Uk9qJz0La19\n",
              "bd9sZ3k/C1tLgxhEMlZ2w5vn//VHqBaprr8/GQe+hG3gwabrz6XBqnfjR7s660TqBjeK+3si\n",
              "e2kDPb3Y8NjQw8pJ32T3GvpmO2fXUtVaWIJZkQQbdlLZjZsWpo67vyRQb+CADdyfMtN5NB5C\n",
              "tFOrz5EeT3rM+/uJ1oNJPayc9FWt/fMfIwud5v1c0VpYApdIjZXH4/gpVnnM/t6298tFerq2\n",
              "FSL1HiXaqZVP7a7Ta1akyeYu3N1NHzktemz3fmVI33Jn1FoWlmBJpIjKR/HtOnFx6kyHNfX3\n",
              "1q4/KYfzWLq2A5GGq1h4mGgLL4o03MMLIk0XxivS9CfJ7Ba39s131uxnT2t/iGWRJBt2tn1p\n",
              "23a3OdgdS49qFOmyRZM28ECkyTfHDxPtVIlIhd2dJ5K5b76zYj+7WvtjLIqk2bCF1uNwhYsi\n",
              "DR9u7jeK5Fjb/tDTeRTT2SDS+BzpsZyl3d1fjeEWfNpWqJwZ0Nc333nslob1t47Ku+NwVdUb\n",
              "tlT7KLi1lwtmbjT03yZkN3hg5G6d+DBY1+OxdJHS2/nkHOl2ZD//dyzSsXfn4E0tj++PV+35\n",
              "W4Qe69yvnMT7y2Dtm++Mbu0Pc0t0cRu2VDsMdsMRSm8RMvcPZuToguE4rNnAw6ekxdeR9DuV\n",
              "N60WaZmXO+DNVjcCRCryZjPrzVY3AkQq0PREaQ+82/oGgEgAAhAJQAAiAQhAJAABiAQgAJEA\n",
              "BCASgABEAhCASAACEAlAACIBCEAkAAH/B0WTheZUmInmAAAAAElFTkSuQmCC"
            ]
          },
          "metadata": {}
        }
      ],
      "execution_count": 21,
      "metadata": {
        "collapsed": false,
        "outputHidden": false,
        "inputHidden": false
      }
    }
  ],
  "metadata": {
    "kernel_info": {
      "name": "ir"
    },
    "language_info": {
      "name": "R",
      "codemirror_mode": "r",
      "pygments_lexer": "r",
      "mimetype": "text/x-r-source",
      "file_extension": ".r",
      "version": "3.5.2"
    },
    "kernelspec": {
      "name": "ir",
      "language": "R",
      "display_name": "R"
    },
    "nteract": {
      "version": "0.15.0"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}