Citations_Analysis_of_Letter_Signatures.ipynb

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  "metadata": {
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      "display_name": "R",
      "language": "R",
      "name": "ir"
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    "language_info": {
      "codemirror_mode": "r",
      "file_extension": ".r",
      "mimetype": "text/x-r-source",
      "name": "R",
      "pygments_lexer": "r",
      "version": "3.3.1"
    },
    "colab": {
      "name": "Citations Analysis of Letter Signatures",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/lakigigar/BitsofDNA/blob/master/Citations_Analysis_of_Letter_Signatures.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xHwUNEjg5atk",
        "colab_type": "text"
      },
      "source": [
        "This notebook reproduces figures and results from the blog post https://liorpachter.wordpress.com/2020/01/17/diversity-matters/ \n",
        "\n",
        "It utilizes code from https://github.com/joshp112358/Notices\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ejIxnerP5DUH",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "system(\"date\", intern=TRUE)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xvF_iyqbHh2z",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "\n",
        "library(readr)\n",
        "library(dplyr)\n",
        "library(ggplot2)\n",
        "library(MASS)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "N70RrBTbH59y",
        "colab_type": "code",
        "outputId": "00d80b57-66bb-4661-c253-cd93cc24ea6f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 870
        }
      },
      "source": [
        "system(\"wget https://raw.githubusercontent.com/joshp112358/Notices/master/withAMS.csv\")\n",
        "df <- read_csv(\"withAMS.csv\")\n",
        "system(\"wget https://raw.githubusercontent.com/joshp112358/Notices/master/From.csv\")\n",
        "df3 <- read_csv(\"From.csv\")\n",
        "df$age <- (2020- df$year)\n",
        "df$citperyear <- df$citations/df$age\n",
        "df$amscitperyear <- df$amscit/df$age\n",
        "df$lettergroup <- as.factor(df$lettergroup)\n",
        "df$gender <- as.factor(df$gender)\n",
        "df$role <- as.factor(df$role)\n",
        "df$highered <- as.factor(df$highered)\n",
        "df$institution <- as.factor(df$institution)\n",
        "df$research <- as.factor(df$research)\n",
        "df$country <- as.factor(df$country)\n",
        "df$security <- as.factor(df$security)\n",
        "df$field <- as.factor(df$field)\n",
        "df$simplefield <- as.factor(df$simplefield)\n",
        "summary(df)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "       X1             name           affiliation          citations    \n",
              " Min.   :   0.0   Length:1435        Length:1435        Min.   :    1  \n",
              " 1st Qu.: 358.5   Class :character   Class :character   1st Qu.:  158  \n",
              " Median : 717.0   Mode  :character   Mode  :character   Median :  831  \n",
              " Mean   : 717.0                                         Mean   : 2796  \n",
              " 3rd Qu.:1075.5                                         3rd Qu.: 2840  \n",
              " Max.   :1434.0                                         Max.   :71530  \n",
              "                                                        NA's   :920    \n",
              "     hindex            year       lettergroup        gender   \n",
              " Min.   :  1.00   Min.   :1957   A and B:  6   man      :969  \n",
              " 1st Qu.:  6.00   1st Qu.:1984   A Only :615   nonbinary:  1  \n",
              " Median : 15.00   Median :1999   B and C: 74   woman    :452  \n",
              " Mean   : 18.45   Mean   :1996   B Only :600   NA's     : 13  \n",
              " 3rd Qu.: 26.00   3rd Qu.:2009   C Only :134                  \n",
              " Max.   :106.00   Max.   :2019   NA's   :  6                  \n",
              " NA's   :922      NA's   :553                                 \n",
              "        highered           institution    research             country    \n",
              " highered   :1361   domesticother:379   lessri:487   israel        :  46  \n",
              " nothighered:  41   domesticr1   :674   moreri:878   canada        :  37  \n",
              " NA's       :  33   domesticr2   :107   NA's  : 70   united kingdom:  21  \n",
              "                    international:205                germany       :  14  \n",
              "                    NA's         : 70                france        :  13  \n",
              "                                                     (Other)       :  49  \n",
              "                                                     NA's          :1255  \n",
              "        role           security      field        simplefield    fellows       \n",
              " professor:635   lesssecure:425   comp  :  16   mathed  :  33   Mode :logical  \n",
              " associate:202   moresecure:902   math  :1216   mathstat:1228   FALSE:1223     \n",
              " assistant:192   NA's      :108   mathed:  33   other   :  90   TRUE :206      \n",
              " grad     :119                    other :  74   NA's    :  84   NA's :6        \n",
              " ntt      : 97                    stat  :  12                                  \n",
              " (Other)  : 83                    NA's  :  84                                  \n",
              " NA's     :107                                                                 \n",
              "     amscit           Fields               age          citperyear      \n",
              " Min.   :    0.0   Length:1435        Min.   : 1.00   Min.   :   0.118  \n",
              " 1st Qu.:  447.5   Class :character   1st Qu.:11.00   1st Qu.:  18.688  \n",
              " Median : 1006.0   Mode  :character   Median :21.00   Median :  48.062  \n",
              " Mean   : 1650.5                      Mean   :23.87   Mean   : 113.541  \n",
              " 3rd Qu.: 1813.5                      3rd Qu.:36.00   3rd Qu.: 111.271  \n",
              " Max.   :15430.0                      Max.   :63.00   Max.   :3223.524  \n",
              " NA's   :1131                         NA's   :553     NA's   :1056      \n",
              " amscitperyear   \n",
              " Min.   :  0.00  \n",
              " 1st Qu.: 15.96  \n",
              " Median : 27.55  \n",
              " Mean   : 44.95  \n",
              " 3rd Qu.: 52.19  \n",
              " Max.   :642.92  \n",
              " NA's   :1188    "
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "F8AZtcDa2tRM",
        "colab_type": "code",
        "outputId": "f4c9b65e-b322-4c52-b680-6f8fb8ee5d0e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 453
        }
      },
      "source": [
        "cor(filter(df,df$citations>0 & df$amscit >0)$citations,filter(df,df$citations & df$amscit>0)$amscit)\n",
        "plot(log(filter(df,df$citations>0 & df$amscit >0)$citations),log(filter(df,df$citations & df$amscit>0)$amscit))"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 0.9218146"
            ],
            "text/latex": "0.92181455496998",
            "text/markdown": "0.92181455496998",
            "text/html": [
              "0.92181455496998"
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          "data": {
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AKkBqlIDosxXoEOYLyA5kBgEAmQGKQi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\nkABQAIQEgAIgJAAUACEBoID/AUZyXScwzPE2AAAAAElFTkSuQmCC",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NiET3-yEJZUW",
        "colab_type": "code",
        "outputId": "53dd2c45-88c8-447e-a0f3-04023a80d96e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 543
        }
      },
      "source": [
        "install.packages(\"naniar\")\n",
        "library(naniar)\n",
        "vis_miss(df)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependencies ‘gridExtra’, ‘visdat’, ‘viridis’, ‘UpSetR’\n",
            "\n",
            "\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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sqorhI9xNO/51ggbccqThRK2oZh5EQp6V+UtQpwCn7sJPW4Sv93ruoXT415QYir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            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4umWScV3Pmkt",
        "colab_type": "code",
        "outputId": "3c907222-7869-4bbb-bd3a-a9a5d6ee6a1f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 453
        }
      },
      "source": [
        "cor(filter(df,df$citations>0 & df$age>-1)$age,filter(df,df$citations>0 & df$age>-1)$citations)\n",
        "plot(log(filter(df,df$citations>0)$age),log(filter(df,df$citations>0)$citations))"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 0.3645351"
            ],
            "text/latex": "0.364535078224937",
            "text/markdown": "0.364535078224937",
            "text/html": [
              "0.364535078224937"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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lq/pbe9/XKpd/cZXGd2Tgio18UHnB7U3wXNmRmECZrhfVKCI6nMyu+Ll1NA+aYL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vLhYX0ue8tR4TRNpC0QbL1qOH15vHzz7K6htkqGcRcm34bk8pvsnScGa1UYbTfuVb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\nGt9CDSHtAbkEzt3IhnhXKnjyrpUdBNZ7CDokGIT05Sb2rq/Fh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G5WzgNAFg4lpKmCWqNG1RJMtXj9AGAijiSkrWJqoe9e8TaLGwAApuFI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\nBpGzUXS15CkVW7OFdDZwHZnqh67QNaWjUiu+q3/O5WiS4vVXNJmg6nmoWrt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            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BGSVvKEvVTvS",
        "colab_type": "code",
        "outputId": "88d06331-54b0-4135-a619-dfeac759c7af",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 83
        }
      },
      "source": [
        "mean(filter(df,gender==\"woman\"&citations>-1&amscit>-1)$amscit)\n",
        "mean(filter(df,gender==\"woman\"&is.na(df$citations)  & amscit>-1)$amscit)\n",
        "\n",
        "\n",
        "mean(filter(df,gender==\"man\"&citations>-1&amscit>-1)$amscit)\n",
        "mean(filter(df,gender==\"man\"&is.na(df$citations)  & amscit>-1)$amscit)\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 621.2174"
            ],
            "text/latex": "621.217391304348",
            "text/markdown": "621.217391304348",
            "text/html": [
              "621.217391304348"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 897.913"
            ],
            "text/latex": "897.913043478261",
            "text/markdown": "897.913043478261",
            "text/html": [
              "897.913043478261"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 1801.109"
            ],
            "text/latex": "1801.10924369748",
            "text/markdown": "1801.10924369748",
            "text/html": [
              "1801.10924369748"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 1816.41"
            ],
            "text/latex": "1816.41007194245",
            "text/markdown": "1816.41007194245",
            "text/html": [
              "1816.41007194245"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gRFjbXFCYG0R",
        "colab_type": "code",
        "outputId": "d982f656-c209-4adc-c0d3-5f5284fca2c8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 50
        }
      },
      "source": [
        "mean(filter(df,gender==\"woman\" & age>-1)$age)\n",
        "mean(filter(df,gender==\"man\" & age>-1)$age)\n",
        "\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 17.65574"
            ],
            "text/latex": "17.655737704918",
            "text/markdown": "17.655737704918",
            "text/html": [
              "17.655737704918"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 26.32075"
            ],
            "text/latex": "26.3207547169811",
            "text/markdown": "26.3207547169811",
            "text/html": [
              "26.3207547169811"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XM-30gkkmUTu",
        "colab_type": "code",
        "outputId": "535575e5-045d-4197-a058-3c0115c8f55e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 50
        }
      },
      "source": [
        "length(filter(df,gender==\"woman\"& amscit>-1)$amscit)\n",
        "length(filter(df,gender==\"woman\")$age)\n",
        "\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 46"
            ],
            "text/latex": "46",
            "text/markdown": "46",
            "text/html": [
              "46"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 452"
            ],
            "text/latex": "452",
            "text/markdown": "452",
            "text/html": [
              "452"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sDZDLTMImKQO",
        "colab_type": "code",
        "outputId": "0b2bb28e-a335-4226-dbec-9626fd55fd83",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 643
        }
      },
      "source": [
        "plot1 <- ggplot(df, aes(x=age))+\n",
        "  geom_histogram(data=filter(df, (lettergroup == \"A Only\"|lettergroup == \"A and B\")),fill = \"red\", alpha = 0.2, binwidth = 5) + \n",
        "  geom_histogram(data=filter(df, (lettergroup == \"B and C\"|lettergroup == \"B Only\"|lettergroup == \"A and B\")),fill = \"blue\", alpha = 0.2, binwidth = 5) +\n",
        "  geom_histogram(data=filter(df, (lettergroup == \"C Only\"|lettergroup == \"B and C\")),fill = \"green\", alpha = 0.2, binwidth = 5) +\n",
        "  # Place dotted lines for mean values\n",
        "  geom_vline(xintercept = mean(filter(df, (lettergroup == \"A Only\"|lettergroup == \"A and B\"))$age, na.rm = TRUE), linetype=\"dotted\", color = \"red\", size=1.5) +\n",
        "  geom_vline(xintercept = mean(filter(df, (lettergroup == \"B Only\"|lettergroup == \"A and B\"))$age, na.rm = TRUE), linetype=\"dotted\", color = \"blue\", size=1.5) +\n",
        "  geom_vline(xintercept = mean(filter(df, (lettergroup == \"C Only\"|lettergroup == \"B and C\"))$age, na.rm = TRUE), linetype=\"dotted\", color = \"green\", size=1.5) +\n",
        "  ggtitle(\"Age Comparison (A=red), (B=blue), (C=green)\")\n",
        "plot1\n",
        "\n",
        "mean(filter(df, (lettergroup == \"A Only\"|lettergroup == \"A and B\"))$age, na.rm = TRUE)\n",
        "mean(filter(df, (lettergroup == \"B and C\" | lettergroup == \"B Only\"|lettergroup == \"A and B\"))$age, na.rm = TRUE)\n",
        "mean(filter(df, (lettergroup == \"C Only\"|lettergroup == \"B and C\"))$age, na.rm = TRUE)\n",
        "median(filter(df, (lettergroup == \"A Only\"|lettergroup == \"A and B\"))$age, na.rm = TRUE)\n",
        "median(filter(df, (lettergroup == \"B and C\"|lettergroup == \"B Only\"|lettergroup == \"A and B\"))$age, na.rm = TRUE)\n",
        "median(filter(df, (lettergroup == \"C Only\"|lettergroup == \"C and B\"))$age, na.rm = TRUE)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Warning message:\n",
            "“Removed 290 rows containing non-finite values (stat_bin).”\n",
            "Warning message:\n",
            "“Removed 237 rows containing non-finite values (stat_bin).”\n",
            "Warning message:\n",
            "“Removed 33 rows containing non-finite values (stat_bin).”\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 14.6435"
            ],
            "text/latex": "14.6435045317221",
            "text/markdown": "14.6435045317221",
            "text/html": [
              "14.6435045317221"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 27.75621"
            ],
            "text/latex": "27.7562076749436",
            "text/markdown": "27.7562076749436",
            "text/html": [
              "27.7562076749436"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 35.48"
            ],
            "text/latex": "35.48",
            "text/markdown": "35.48",
            "text/html": [
              "35.48"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 13"
            ],
            "text/latex": "13",
            "text/markdown": "13",
            "text/html": [
              "13"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 27"
            ],
            "text/latex": "27",
            "text/markdown": "27",
            "text/html": [
              "27"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 37"
            ],
            "text/latex": "37",
            "text/markdown": "37",
            "text/html": [
              "37"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
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dkro0YlOnqw02KL8hqsdUOTQwl2AA4Fp2IBAAAUQbADAABQBMEOAABAEVxjB4iI\niN+f7NPg2ibTw9bhJMOQPn2S9orfb7rVTI7QRW90RV3QDLrVDAA18NEFiIgkhgzZt369212o\nrKQktX79Pre7yC0hM7R+H2sdACdxKhYAAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7\nAAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABF\neNxuAMgJWiym79xpryR79hQPG4hjkkn5+mvDXunWLeX3m271kwtSktpubLdXuqS6BM2gW/0A\nUACfW4CIiPHxx4VnnWWv7Pvgg+QRR7jVj3r27NFHjiyyV156qWL06Lhb/eSCWq12ZNFIe+WZ\nymfOiJ3hVj8AFMCpWAAAAEUQ7AAAABRBsAMAAFAEwQ4AAEAR3DwBiIgkBw7cv3atvZLq1s2t\nZpRUVJRau3a/vdK/f9KtZnJE0Ayu3d9greub7OtWMwDUQLCDajwbNzoyH2PzZkfmY0mUljo4\nt/bI65XS0oTbXeQWQ4zSREdfMQA4i1OxAAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog\n2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAA\nKMLjdgNATjC++ip0zz32Ss2iRamSErf6Uc/evdollxTYK8uWVQ8blnCrn1xQp9X9oOAH9srd\nNXePio9yqx8ACiDYASIiEo0an33WoBKPu9SKmhIJbePGBjuc6mrNrWZyRFKSGz0b7ZVKrdKt\nZgCogVOxAAAAiiDYAQAAKIJgBwAAoAiusQNERMzi4vrLLmtQyctzqxklhULm9Ol19krPnim3\nmskRPvFNr5tur/RJ9nGrGQBqINgBIiKpzp3rrrnG7S5UFg6b8+bVuN1FbvGZvnk189zuAoBS\nOBULAACgCIIdAACAIrJ+KvaVV15Zs2bNnj17evbsOXHixFGjRolIdXX1qlWrPvroo3g8PnDg\nwKlTp3bp0iXbnQAAAKgtu0fs1q1b9+yzz06ZMmXlypVnnnnmww8/XFtbKyLLly/fvXv3/Pnz\n77333lAotHDhwlSqo19GDQAAcIiyG+yeffbZSZMmjRw5skuXLuPHj1+1alUoFCovL3///fev\nu+66vn379ujRY+rUqWVlZZs2bcpqJwAAAMrLYrDbs2fPrl27RGT69OkXX3zxzXfHkYwAACAA\nSURBVDff/Omnn4rI1q1bvV5v3759rcnC4XCvXr22bNmSvU4AAAA6gixeY7dnzx4RWbt27S23\n3FJQUPDMM88sWLBg5cqVlZWVkUhE0/7vayILCgoqKirSL99999277747/XLBggXDhg3LXp9Z\n4vP5ioqKHJmVlp/vyHxylqZpkUjE7S6yy3RqZdA0EQmFQsFg0JEZqk3TNE3TnNoSlafruogU\nFBS43Uj7YK1dfr/f7UbaB03TDMNgY8yQruter9c0zQP+tLm6Jes3T1x66aW9evUSkauuuuqv\nf/3r+vXr5bsPp+YkEomqqqr0y2Qyae1u2hdN0xxru8XhUkDL64MaNEfXYesTxcEZKszJLVF1\n1krFcLUKw5U5NsbMWRtjc/v5lm9LyGKwKy4uFpG87x7fbxhGcXHxvn37evfuXVlZaZpmuuOK\nigp7ij/llFNee+219MuKigrr4F97Yf2jpL6+3h5PD4XHdjhTSZFIpLq6uuV/grR3CYfW4UAg\nEA6Ha2pqotGoIzNUm67r+fn5+/fvd7uR9iE/P9/n8+3bt4+72TIRCAR0XbfuCMRBlZSUJJNJ\nNsYMRSKRaDQaj8cP+NOWj31mMTsXFxcXFRVZ19WJSCwW+/bbb7t27TpgwIB4PL5t2zarXllZ\nuX379sGDB2evEwAAgI4gi8FO1/Uf/OAHzzzzzIYNG8rLyx966KFAIDBq1Kji4uLRo0evWLHi\niy++KCsrW7ZsWb9+/YYMGZK9TgAAADqC7F5j98Mf/rC2tva+++6rrq4eOHDgXXfdFQgERGT6\n9OmrVq268847k8nk0KFD586dywVDAAAAhyi7wU7X9YkTJ06cOLFRPRQK3XjjjVl9awAAgI6G\n+1MAAAAUkfXHnQDtglZR4X3rLXslfvrpZijkVj/qqavTVq9u8MSvs8+Ode3aoe++jEv8d4Hf\n2StnxM7omerpVj8AFECwA0RE9F27QsuW2SuVxx9PsHNQVZU2a1bYXhkwoKKDB7t6rX5WeJa9\n8kzlMz1jBDsAbcepWAAAAEUQ7AAAABRBsAMAAFAE19gBIiJiGGYk0qDCsxUdpetSWNjgW+M8\nHX73o4lWaBbaKx6zww8KgEPDTgQQEUn271+xZo3bXaisU6fU1q3t6UufD4M8M2/rnq1udwFA\nKZyKBQAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbAD\nAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEetxsAckMyqdXW2gtmOCya5lY7\n6kmlpLKywXiGw6anY++BTDErtAp7Jc/M84rXrX4AKKBj71aB7xj/+ldk2jR7pfK3v0116+ZW\nP+opL9eHDi22V156qWL06Lhb/eSCGq1mQMkAe+WZymfOiJ3hVj8AFMCpWAAAAEUQ7AAAABRB\nsAMAAFAEwQ4AAEAR3DwBiIikeveuXrLEXjGLitxqRkmFhannnmtwB+iQIQm3mskRQTP4XMVz\n9sqwxDC3mgGgBoIdICJihkKJESPc7kJlPp+MHduh74FtyhBjbHys210AUAqnYgEAABRBsAMA\nAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATB\nDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFCEx+0GgJygb98euv9+e6X21ltTxcVu9aOeffu0a6/N\nt1cWLaoZPDjhVj+5IKpFf5z/Y3vl9prbj0sc51Y/ABRAsANERLTaWs+HHzYoxWIu9aKmeFx7\n4w2vvbJ/v+ZWMzkiIYk3vG/YKz/Vf+pWMwDUwKlYAAAARRDsAAAAFEGwAwAAUATX2AEiImZB\nQey88xpUgkG3mlFSMGhOnBi1V7p2TbnVTI7windidKK90iPZw61mAKiBYAeIiKS6daudOdPt\nLlQWiZhLl1a73UVu8Zv+pdVL3e4CgFI4FQsAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACg\nCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0A\nAIAiPG43AOQEraLC+9Zb9kr89NPNUMitftRTV6etXu23V84+O9a1a8qtfnJBXOK/C/zOXjkj\ndkbPVE+3+gGgAIIdICKi79oVWrbMXqk8/niCnYOqqrRZs8L2yoABFR082NVr9bPCs+yVZyqf\n6Rkj2AFoO07FAgAAKIJgBwAAoAiCHQAAgCK4xg4QERHDMCORBhVNc6kVNem6FBaa9oqnw+9+\nNNEKzUJ7xWN2+EEBcGjYiQAiIsn+/SvWrHG7C5V16pTaunWP213kljwzb+uerW53AUApnIoF\nAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAE\nwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAER63GwByQzKp1dbaC2Y4LJrmVjvqSaWk\nsrLBeIbDpqdj74FMMSu0Cnslz8zzitetfgAooGPvVoHvGP/6V2TaNHul8re/TXXr5lY/6ikv\n14cOLbZXXnqpYvTouFv95IIarWZAyQB75ZnKZ86IneFWPwAUwKlYAAAARbSDI3Zer9cwDLe7\naAVd10XEMIxAIODMDH0+R+aTszRN8/l8pmm62IPubXz+y+v1ms6NvMehlcHr9ab/2774/Y3P\na/t8vkAgu5u2pmmapjm1JTouoSUaVbxeb0B3rVtr3+X3+93dGNsLr9eby2tXrtE0Tdd1hitD\nhmH4fL7mwo/W4mVC7SDYaZrWvoKdNeIOtq23q8VvG8Mw3P0s0fTGR68NwzCdG3nNqZVB16Ud\nbhQiYhiN90S6nvVV2wp2OTtWepNzJoZhGOJat9a+y/WNsb2wkkrOrl25ieHKkLV2te1320Gw\ni8Vi8Xh7uhDHOlaXSCRqamocmaGnrs6R+eQsj8dTV1fn7meJUV/f6OhcNBpNOTfyCYdWhkAg\n4PV6Y7FYNBp1ZIaHTW2tLtLgH+vRaLSmJrubtq7rHo/HqS3RcbVarQQbVKLRaE3MtW4NwzAM\no7a2NpVKudVDOxIIBHRdr2140xWaEwgEUqlUzm6MuUbX9Wg02lz4MQwjGAwe8EfSLoIdcBik\neveuXrLEXjGLitxqRkmFhannnmtwB+iQIY1PRHY0QTP4XMVz9sqwxDC3mgGgBoIdICJihkKJ\nESPc7kJlPp+MHdueDr0fBoYYY+Nj3e4CgFK4KxYAAEARBDsAAABFEOwAAAAUQbADAABQBMEO\nAABAEQQ7AAAARfC4E6hmw2cRt1s4gGNK3e4A6tq40Zk9eV6e5vVKZaXHkQcUl5Z29OcUAq7g\niB0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKILn2AEiIqFvvhrw\n7C/tlc2T74zll7jVj3r27dOuvTbfXlm0qGbw4A79qLOoFv1x/o/tldtrbj8ucZxb/QBQAMEO\nEBExojVFn75nr+jxereaOZycerbtQe3dq7/xhtdeWb/eE4sdeOIO8mzbhCTe8L5hr/xU/6lb\nzQBQA6diAQAAFEGwAwAAUATBDgAAQBFcYweIiMTDRTtOmWCvJP0ht5pRUiBgnndeg0vqSkoc\n+Kb5ds0r3onRifZKj2QPt5oBoAaCHSAiEi3p/tkVc9zuQmWhkDlzZq3bXeQWv+lfWr3U7S4A\nKIVTsQAAAIog2AEAACiCYAcAAKAIgh0AAIAiuHkCOByc+oIHn08PhaS2Vo/F2HhdcNi+qAMA\n2oYjdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2\nAAAAiuAp6oCIiLd6X+cNb9gr34w8KxkIudWPeurrtbVrvfbK6NGJ4uKUW/3kgoQWf7XHf9sr\nJ+wZ1zna061+ACiAYAeIiAT27Dz66bvtlb2DTyDYOaimRlu2rMF49u5d3cGDXUyvXzZopr2y\neMNqgh2AQ8GpWAAAAEUQ7AAAABRBsAMAAFAE19gBIiKmbiRCkQYljX/2OEnXzUjEtFcMw61e\ncoUmWiRRaK94TPbJAA4JOxFARKS698C3frnW7S5UVlhorllT4XYXuSWYzFvzxhdudwFAKRyT\nAAAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQ\nBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEetxsAcoKWShrRWnslEcwTjX/5OMY0\npbpas1dCIdMw3GonJ5hiVnsq7JVgMs9jet3qB4ACCHaAiEh4+5bj77nSXnl30ZpoSQ+3+lHP\nvn36JZfk2yv33Vd97LEJt/rJBXVGzYVj+9orizesPmHPmW71A0ABHJAAAABQBMEOAABAEQQ7\nAAAARRDsAAAAFMHNE4CISF3XPhun32+vxPJL3GpGSfn5qSVLqu2Vo45KutVMjgikgkv+ucZe\n6V91rFvNAFADwQ4QEUkE8vYNOsHtLlTm8ciIER36HtimdNMYsfc0t7sAoBROxQIAACiCYAcA\nAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJvnkAbbfgs\n4tSs8vLyams10zSdmiEAAB0TR+wAAAAUQbADAABQBMEOAABAEQQ7AAAARXDzBCAiEvrmqwHP\n/tJe2Tz5zlh+iVv9qKeqSlu0KM9e+elP6/r2TbrVTy6o16PzSi+3V67eNm9g5Qi3+gGgAIId\nICJiRGuKPn3PXtHj9W41o6R4XPvwwwY7nKoqza1mckRSS3xY/Lq98v/9e5pLvQBQBKdiAQAA\nFEGwAwAAUATBDgAAQBFcYweIiMTDRTtOmWCvJP0ht5pRUiBgnndezF4pKUm51UyO8Jie88om\n2ytd6nu61AsARRDsABGRaEn3z66Y43YXKguFzJkza93uIrf4UoGZny5zuwsASuFULAAAgCII\ndgAAAIo4TMFu3bp1F1xwwbvvvmu9rK6uvu+++yZPnvyjH/1o4cKFu3fvPjxtAAAAKOxwBLv9\n+/c/+eSTPp8vXVm+fPnu3bvnz59/7733hkKhhQsXplId/TJqAACAQ3Q4gt3KlStPO+20UOh/\n7zEsLy9///33r7vuur59+/bo0WPq1KllZWWbNm06DJ0AAAAoLOvB7p133tm2bdsVV1yRrmzd\nutXr9fbt29d6GQ6He/XqtWXLlmx3AgAAoLbsPu6kurp65cqVM2fODAQC6WJlZWUkEtG0//ua\nyIKCgoqKivTL9evX/+pXv0q/nD179pAhQ7LaZzb4fL7CwkJHZqVFIo7Mx1l5eXkHnygzmqal\nD+iqynToj2htOIFAwO/3OzLD3FRYaDo1K8MwnNoSRSQSUfn7bXVdF+c2bQf/iLnJGi77VUZo\ngaZpzm6MajMMw+PxmOaBN6Lm6pbsBrtHH310xIgRw4cPb1S3p7qmqqqqNm/enH4ZjUY9nvb3\nvD1N0xxr2zCcmY+jrJ2aU1peJVTg6B/R2cHPQc5u8Q7uQHJyW3SY4dBCtsPddlsovzE6yMmP\nxQ6ghS2x5dsSsjjEGzZs+PDDDx944IFG9cLCwsrKStM005/lFRUVRUVF6QlOP/309evXp19W\nVFSUl5dnr0/HGYZRVFRUX19fVVXlyAw9+/c7Mh9nVVUlnZpVXl5ebW1ty/8Eae+SDv0RfT5f\nKBSqra2NxWIHn7rdKi9PODIfXdfz8/P3O7cF7d+v8sdSXl6e1+utrKx05G42p/6IOSsQCOi6\nXlvLY7czUlJSkkwmHdwY1RaJRKLRaDweP+BPrZjR3O9mcSf1l7/8paamZurUqdbL6urqZcuW\nDR8+fMqUKfF4fNu2bf379xeRysrK7du3Dx48OHudAAAAdARZDHZTp0698sor0y9nzpw5ceLE\nE088MT8/f/To0StWrJg+fbrP53vkkUf69evXHq+iAwAAyClZDHaRSCRiu2Bc07RIJJKfny8i\n06dPX7Vq1Z133plMJocOHTp37lz1L7ECAADIssN3vchvfvOb9P+HQqEbb7zxsL01AABAR8Dt\nPAAAAIpQ+Q4vIHPe6n2dN7xhr3wz8qxkQPGn6x1O9fXa2rVee2X06ERxcYf+LsGEFn+1x3/b\nKyfsGdc52tOtfgAogGAHiIgE9uw8+um77ZW9g08g2DmopkZbtqzBePbuXd3Bg11Mr182aKa9\nsnjDaoIdgEPBqVgAAABFEOwAAAAUQbADAABQBNfYASIipm4kQpEGJY1/9jhJ181IpMG3xnWE\n711tmSZaJNHgO9E9JvtkAIeEnQggIlLde+Bbv1zrdhcqKyw016ypcLuL3BJM5q154wu3uwCg\nFI5JAAAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCu2IB5JyNG53ZNem6npenVVWxowPQ\nUXDEDgAAQBEZBbuRI0du3ry5af35558fMmSI0y0BAACgLTIKdh988EFNTU2jYiKR+Pjjj7dt\n25aFrgAAANBqB7n0RNM0639GjRp1wAlGjBjhcEcAAABok4MEuw0bNrzxxhszZswYP358p06d\n7D/SNK1Hjx7XXnttNtsDAABApg4S7EpLS0tLS1955ZV77713wIABh6cnAAAAtEFGTwH405/+\nlO0+AAAAcIgyunli9+7dkydP7tmzp2EYWhPZbhEAAACZyOiI3fXXX79mzZqxY8eOGzfO4+FR\nnwAAALkoo5T22muvPffcc+PHj892N4BbIl99cvw9V9or7y5aEy3p4VY/6tm7V7/kknx75b77\nqo89NuFWP7mg1qi+4LTe9sriDatP2HOmW/0AUEBGp2Lr6urGjBmT7VYAAABwKDIKdscff/zH\nH3+c7VYAAABwKDIKdsuWLfv5z3/+zjvvZLsbAAAAtFlG19jNmDFj586dY8aMCYVCnTt3bvTT\nL7/80vm+AAAA0EoZBTtd148++uijjz46290Abol26vXxNYvtlXikyK1mlBQOp+bNa/CV0336\nJN1qJkf4U4F5mx63V/pXHetWMwDUkFGwe/PNN7PdB+CueF7+tyPOcLsLlfl8MnZs3O0ucoth\nesbunuB2FwCUktE1dgAAAMh9GR2x69SpU3M/isVilZWVzvUDAACANsoo2J1yyimNKjt37ty0\naVO/fv3Gjh2bha4AAADQahkFuxdeeKFpcdeuXZdeeuk555zjdEuAgozPPnNkPrrXK4GAHo0a\ncWeuV0tyUxQAKKTt19h169Zt6dKl8+fPd7AbAAAAtNkh3TzRq1evTz75xKlWAAAAcCjaHuxM\n03zsscdKSkoc7AYAAABtltE1dsOHD29USSaTu3btKi8vv/nmm7PQFQAAAFoto2DXlNfrPfbY\nY8ePHz916lRnGwIAAEDbZBTsNmzYkO0+AAAAcIhaccRuz54977777o4dO3Rd79Wr15gxYyKR\nSPY6AwAAQKtkFOxSqdQtt9zyX//1X3Hbo7Py8vLmz58/e/bsrPUGAACAVsgo2C1dunTp0qUX\nXnjh+eef371791QqVVZW9vvf//6WW27p2rXrxIkTs90lAAAADiqjYPf444/fdNNNS5cutRev\nu+66KVOm/OpXvyLYAQAA5IKMgt3nn39+3nnnNa2PHz/+qaeecrolwAXBb78+6sUH7ZWtl86O\nRYrc6kc91dXasmUhe2XSpOgRRyTd6icX1OvRJUN/aq9c8eVN/aqGudUPAAVkFOw8Hk9tbW3T\nejweNwzD6ZYAF3hqKzt/uM5e2Xbh9SIEO8fEYtobb3jtlfHj6484wq12ckJSS7zRpcE3cZ+9\n40f9hGAHoO0y+uaJ44477r777ovFYvZiNBp98MEHR44cmZ3GAAAA0DoZHbGbM2fO+eefP2DA\ngHPPPbdnz56maW7fvv0Pf/jDrl27Xn311Wy3CAAAgExkFOzOPffc3//+93PmzFm5cmW6OGzY\nsIcffvjMM8/MWm8AAABohUwfUDxhwoQJEybs2LGjrKxM07TevXt37do1q50Bh1MilP/tiDPs\nlZQv6FYzSvL5zLFj4/ZKYaHpVjM5wjA9Y3dPsFdKYuxXARySTIPdrl27Vq9efcMNN/To0UNE\nvv3224ULF06dOrVLly7ZbA84TOo69/r4msVud6GycNicN6/G7S5yiz8VmLfpcbe7AKCUjG6e\n2LJly3HHHXfzzTenK7W1tfPnzy8tLf3888+z1hsAAABaIaMjdrfeems4HH7ppZfSlT59+nzy\nyScXXHDB7Nmzn3/++ay1BxGRDZ/xnbwAAODgMjpi9/bbb992222jRo2yFwcPHjx79uy//OUv\n2WkMAAAArZNRsKuurvb5fE3r4XA4mezQD44HAADIHZk+oPipp55qlOGqqqqWL19+3HHHZacx\nAAAAtE5G19jdcccd55xzztFHH33OOed07tw5lUpt37795Zdf3rNnzyuvvJLtFgEAAJCJjILd\n2Wef/eqrr86ZM2fFihXp4rHHHvvEE0+cffbZWesNAAAArZDpc+zGjRs3bty4PXv27NixwzCM\n3r17RyLcqgkAAJBDMg12lpKSkpKSkiy1AgAAgEOR0c0TAAAAyH2tO2IHAEAmNm7M0c+X0tKE\n2y0AWcQROwAAAEUQ7AAAABRBsAMAAFBEjl4DARxm3prKwi3v2yt7jxmT9AXd6kc9sZi8847X\nXhk+PFFQYLrVTy5Iaom3Or9srwzbP6Y41sWtfgAogGAHiIgEyr8e+sht9sq7i9YkSwh2jqmu\n1hctyrNX7ruv+thjO/Rl7PV6dNGwK+2VxRtWn7DnTLf6AaAATsUCAAAogmAHAACgCIIdAACA\nIgh2AAAAiuDmCUBEpKrPkNcf/IfbXaisuDi1du1+t7vILaFkeO26fW53AUApHLEDAABQBMEO\nAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAE3zwBdGjG\nZ5+53cIBJI8+2u0WAKBd4ogdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCK4KxYQEYl8\n9cnx91xpr7y7aE20pIdb/ahnb6X3oluPs1d+ddPmY/tXudVPLqg1qi84rbe9snjD6hP2nOlW\nPwAUwBE7AAAARbSDI3aGYbjdQuvoum791+v1OjJDw9MO/kyHRNMMwzBdbaHpamYYRg6OvG4Y\n1n8N090Ba7Wmg6k3P8KaQyOv67qmaZ7c+ztaPEbjxgxDd7FbTdNExDAMayemKq9Xc2Q+1kA5\ntZ9XnqZpmqYxXBnSdb2F8NPyFpqj+zs7j8eTs/vlA7J2jrqu+/1+R2bobVeL3waaiOt/4qYf\nsR6PJwdH3tqeDV13KvocNp4mOymPYTQ3wqbP5+Bb+xydm4MSRuMPOY/H24ZuP8370JF+PB5D\n0/S4N+7I3AbVjHBkPo7z+1OOzMcwDE3TnNrPdwQMV+Z0Xff5fKlUW9bVdvDZUF9fH487s6M5\nPAzD8Pv9iUSiurrakRlGo1FH5pOz8vLy6uvrTVcPQXlj9Y0q9fX1OTjyXq/XMIx4PN6+NgoR\nqa9vHGJisVhzI5ysrXXkTXVdz8vLq3Vobo6rNeoaVerr69vQbdRwZkUNBoMejx6Lxdr2cdJI\nzg57dXXCkfkEAgFd13N2MXON3+9PpVJOfSwqLxKJRKPR5vbzhmEEAoHmfrcdBDvgMIh26vXx\nNYvtlXikyK1mlBQOJudf8y975YhujWNNR+NPBeZtetxe6V91rFvNAFADwQ4QEYnn5X874gy3\nu1CZz5s6bcRet7vILYbpGbt7gttdAFCKylfIAgAAdCgEOwAAAEUQ7AAAABRBsAMAAFAEwQ4A\nAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEE\nOwAAAEV43G4AyAnBb78+6sUH7ZWtl86ORYrc6kc91XXG0v/ua69MPr+sT7c6t/rJBfV6dMnQ\nn9orV3x5U7+qYW71A0ABBDtARMRTW9n5w3X2yrYLrxch2DkmFtdf/7DYXrnwtG/caiZHJLXE\nG11esFfO3vGjfkKwA9B2nIoFAABQBMEOAABAEQQ7AAAARXCNHSAikgjlfzviDHsl5Qu61YyS\nfN7UaSP22isF4YRbzeQIw/SM3T3BXimJdXWrGQBqINgBIiJ1nXt9fM1it7tQWTiYnH/Nv9zu\nIrf4U4F5mx53uwsASuFULAAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgB\nAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIrwuN0AkBO8\nNZWFW963V/YeMybpC7rVj3picf3vmwrtleFHVxaGE271kwuSWuKtzi/bK8P2jymOdXGrHwAK\nINgBIiKB8q+HPnKbvfLuojXJEoKdY6rrjAWP9LdXfnXT5sL+VW71kwvq9eiiYVfaK4s3rD5h\nz5lu9QNAAZyKBQAAUATBDgAAQBEEOwAAAEUQ7AAAABTBzROAiEhVnyGvP/gPt7tQWXF+/K8P\nvud2F7kllAyvXbfP7S4AKIUjdgAAAIog2AEAACiCU7EAAOd9FtngdgvN2Djckdn4fLqu69Go\nMx+jpaUd+mHdcBBH7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABA\nEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEU48+3FQHsX+eqT4++50l55d9GaaEkP\nt/pRz95K70W3Hmev/Oqmzcf2r3Krn1xQa1RfcFpve2XxhtUn7DnTrX4AKIAjdgAAAIog2AEA\nACiCYAcAAKAIgh0AAIAiuHkCEBGJdur18TWL7ZV4pMitZpQUDibnX/Mv6W/tDwAAH/hJREFU\ne+WIbnVuNZMj/KnAvE2P2yv9q451qxkAaiDYNeDZuPHQZ6LruuTna7GYp7b20OcmIiIRh+aD\nZsXz8r8dcYbbXajM502dNmJvhhN/FtngyJvquh4MBmukxpG5icjRVcOdmpWIGKZn7O4JDs4Q\nADgVCwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAH\nAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCI8bjcA5ITgt18f9eKD9srWS2fH\nIkVu9aOe6jpj6X/3tVcmn1/Wp1udW/3kgno9umToT+2VK768qV/VMLf6AaAAgh0gIuKprez8\n4Tp7ZduF14sQ7BwTi+uvf1hsr1x42jduNZMjklrijS4v2Ctn7/hRPyHYAWg7TsUCAAAogmAH\nAACgCIIdAACAIrjGDhARSYTyvx1xhr2S8gXdakZJPm/qtBF77ZWCcMKtZnKEYXrG7p5gr5TE\nurrVDAA1EOwAEZG6zr0+vmax212oLBxMzr/mX253kVv8qcC8TY+73QUApXAqFgAAQBEEOwAA\nAEVk91Ts3r17H3vssY0bN8ZisaOOOurKK688+uijRaS6unrVqlUfffRRPB4fOHDg1KlTu3Tp\nktVOAAAAlJfdI3Z33XVXeXn5ggULli9f3qlTp4ULF0ajURFZvnz57t2758+ff++994ZCoYUL\nF6ZSqax2AgAAoLwsBruqqqrOnTtPmzbtqKOO6t69+8SJEysrK7dv315eXv7+++9fd911ffv2\n7dGjx9SpU8vKyjZt2pS9TgAAADqCLAa7SCQyZ86c3r17Wy/37Nmj63qnTp22bt3q9Xr79v3f\nb40Mh8O9evXasmVL9joBAADoCA7T406qqqruv//+CRMmFBUVVVZWRiIRTdPSPy0oKKioqEi/\n/Pjjj5966qn0y8mTJ6dTYLZpoZADM9E0EfF4PCEn5iYigUDAkfnkLE3TAoGAaZpuN9IOGIYh\nIj6fz/ofVQUCzlyboWmatXY5MjcRCSWd2aid5dQCGoYuIn6/X+2N0ak/omEYmqbpujPHRyIR\nlcdcRDRNMwwjEom43Uj74PV6dV1v21VqhyPYff3114sWLRo+fPikSZOsij3VNbV79+61a9em\nX/7whz/0+/3ZbTHN53NqTrqu+xyam9frdWQ+uczj4ZGKraDrulMfJ7nJ2XXewbk5tVE7y9nh\nUn5jdPaP6NTcDtunnIs0TTt8n+btXws7+ZYDX9Y34I0bNy5ZsuTyyy8///zzrUphYWFlZaVp\nmul4V1FRUVRUlP6Vk0466cUXX0y/9Pv9+/bty3afFqOy8tBnout6OByOx+N1dXWHPjcRqalR\n/F9ywVAoWlen9kECp3i9Xp/PV19fn0io/LUNNTW1jsxH07RgMFBb68yWKCKVVQ7sIhxXY9Y4\nMp9AIGAYRl1dbSql8sbo1B/R5/NpmlZfX+/I3PbtSzoyn5xVWFiYSqUqnfiQ7Qjy8vJa2M/r\nul5QUNDc72Y32H3yySf33HPPrFmzjj/++HRxwIAB8Xh827Zt/fv3FxHrjorBgwenJwgGgz17\n9ky/rKioiMfjWe0zTXPu5lzTNJ261Vf9W4ZNM5VKEewyYa0MDq5ducmppdN13TSd3IJyc9id\n6sraBlMp1q5M59Pmk2VNJZOKBzsRMU2zIyymI6ydfNuGK4tnc2Kx2PLlyy+44II+ffqUfyca\njRYXF48ePXrFihVffPFFWVnZsmXL+vXrN2TIkOx1AgAA0BFk8Yjd5s2bd+3a9fTTTz/99NPp\n4pQpU84777zp06evWrXqzjvvTCaTQ4cOnTt3bstX3QEAAOCgshjsSktLX3rppQP+KBQK3Xjj\njdl7awAAgA5I5RvrAAAAOhTFb2sHMuStqSzc8r69sveYMUlf0K1+1BOL63/fVGivDD+6sjCs\n8r29B5XUEm91ftleGbZ/THHs/2/v3oOjrO89jn+fZy9JdrNJSAgSDEgQSLnnBBTsHE+ZAq0V\nreBlHNHCAYGkUNEqSnFULvbidQh2tAy1FC1HYeSgUq3tSJSqHVEoEjhFCCAHBAshwewm2Wz2\nev7Y08xDFETyuL/NL+/XX9lvwpNPHn5JPnkuu7xwNoALR7EDREQy648Ne/Z+62Tbwy/HCih2\ntmludSx7dqB1svLuj/MGNqnKkw7azNDDI2ZaJ7/c9dLlDRNV5QGgAU7FAgAAaIJiBwAAoAmK\nHQAAgCYodgAAAJrg5glARKTpkqFbn/lAdQqd5edE3n7mQ9Up0osnlr2lOkUvhA2gm+CIHQAA\ngCYodgAAAJqg2AEAAGiCYgcAAKAJih0AAIAmuCsWSIXawn22bMfpdLrd7nA4HI3a8yqrg099\ny5btAOiMmpo0/XU8alS3fkHnrogjdgAAAJqg2AEAAGiCYgcAAKAJih0AAIAmKHYAAACaoNgB\nAABogmIHAACgCYodAACAJih2AAAAmkjTp7oGUsx3ZO/oR2daJ9sefjlU0EdVHv2cDrhu+Nm/\nWScr7/545MCmL/1gx9GjtnxSwzSMjExHa6stWxOR2n52bUlEJOQI3j16snUyf/8jw/xj7fwc\nALoZjtgBAABogmIHAACgCYodAACAJih2AAAAmuDmCUBEJNSz+B+zf2mdRHw9VIXRUnZWbMns\ng9ZJv9623dPQRbnjGbMPLrFO+gYHqQoDQA8UO0BEJOLNOVU+QXUKnbld8fHlp1WnSC9mwlF+\nerzqFAC0wqlYAAAATVDsAAAANEGxAwAA0ATFDgAAQBMUOwAAAE1Q7AAAADRBsQMAANAExQ4A\nAEATFDsAAABNUOwAAAA0QbEDAADQBMUOAABAE07VAQAASJ1a3y5btuNyuUzTbHO12bK1wU1l\ntmwH4IgdAACAJjhiB4iIZJ06NuDVZ6yTAzffG/b1UJVHP82tjif/q8Q6+c9rjl/Su1VVnnQQ\nMdueG/CIdXLVZ7cWBweqygNAAxQ7QETEGQwU7qy2Tg5N/YkIxc424Yi5dWe+dTJ1/ElVYdJE\nzIjtzN9qnVxx6qpiodgBuHCcigUAANAExQ4AAEATFDsAAABNcI0dICIS9eScKp9gncTdWarC\naMntio8vP22d5GZHVYVJE46Eo/z0eOskN1KgKAsATVDsABGR1sLif8z+peoUOsvOii2ZfVB1\nivTiimfMPrhEdQoAWuFULAAAgCY4Ygd0a7WF+1RHAADYhiN2AAAAmqDYAQAAaIJiBwAAoAmK\nHQAAgCYodgAAAJqg2AEAAGiCYgcAAKAJih0AAIAmKHYAAACaoNgBAABogmIHAACgCYodAACA\nJpyqAwBpwRlq8f3vP6wT/6Wj4q4MVXn0E42aB/ZeZJ1ccmmDxxtWlScdxI14re8j66RvcJA3\nmqMqDwANUOwAEZGsk0dGPXWHdbLt4ZdDBX1U5dFPsDmj6uFJ1snCZX8ZNPSkqjzpIGyGnvrW\nQutk/v5HhvnHqsoDQAOcigUAANAExQ4AAEATFDsAAABNUOwAAAA0wc0TgIhIc9/S957YYp1E\ns7yqwmjJlxtasXa9dZKZGVEVJk1kxLKe2Lm5w0RVGAB6oNgBIiIJ0xH1+FSn0JlhJLr5k5t8\nkSGGJ8qqA2AnTsUCAABogmIHAACgCYodAACAJih2AAAAmqDYAQAAaIJiBwAAoAmKHQAAgCYo\ndgAAAJrgCYoB4Hw5jh5VHeFLxPr1Ux0BnVXr26U6wpcbJcNVR8DXwxE7AAAATVDsAAAANEGx\nAwAA0ATFDgAAQBMUOwAAAE1wVywgIpL96f6ylfOtkx33rwvl91aVRz9N/syH7pxinfxkcfWl\npadU5UkHbc7Qz66+2zqZu23+kLphqvIA0ADFDhARMeIxZ7DpjFEiriiLnhIJI9jitk7ise5+\nxiAhEnS3WCcxM6YqDAA9dIFiZ5qm05minA6Ho/MbMU1TRAzDsGVrYlOqtGYYpsMhiYTCCA6z\n4052mA4b93xyVXSekVxdpmHXBlPG+ELgFHwVhmGIYdvOt90Xg5nGBe0TmxaqYRjJVMk3cG7J\nHaX9z2cbf/8ahpGy3+ZdnWmaDocjcZZfi+f+KdEFdrHb7U7Zz2UjK8uGjRiGiDgcjiw7tiYi\nGRkZtmwnbRkiGW73V3/cN8nldnWYuN3uhH173m3TF2iYhog4nc4vNtE053Z13MMup8uu3XI2\nyW/Gb/qzXLC4s+PxOafrQvaJXQvVNNN6d6Wb5O5K2z8b7OL1em3ZjmEYpmnatTXtORyOzMzM\nsxW7s82TukCxC4VCkUgkNZ/L2dzc+Y2YppmTkxONRoPBYOe3JiLBoOZ/PXu93tbW1nOv1G+a\nIxTqMGkNtYZs+h8UkZC34/YvjNPpdLvdkXAkGo3assGUaWvruIzD4XDoC7vdXoZpZGZkftOf\n5YKFnG0dJhe2T2I2LdSsrCyn0wyFQvE41yF8NZfLZZpmW1vH/0TN+P1+W7ZTUFAQi8Xs2pr2\nfD7fOcqPw+E4xx9gXaDYASkQKiiqnbbYOol481SF0VJmVuS2im3WSa+igKowacIVd922c6Z1\ncnGgWFUYAHqg2AEiIpHsHp/9+5Sv/jhcKHdG9MqJtapTpBdH3HHlJ+NVpwCgFc0vDgAAAOg+\nKHYAAACaoNgBAABogmIHAACgCYodAACAJih2AAAAmuDpTqCb2sJ9qiMAAKAGR+wAAAA0QbED\nAADQBMUOAABAExQ7AAAATVDsAAAANEGxAwAA0ATFDgAAQBM8jx0gIuI7VV+26Y/WyfZpN4Z8\nPlV59BNqdW18frR18r0f7u1VFFCVJx1EHJENo9ZZJ989OKlPoFhVHgAaoNgBIiKZ/qYhW7Za\nJ7umXkOxs1G4zfnulsHWydgrD3fzYhczYu8O2GqdlH02mmIHoDM4FQsAAKAJih0AAIAmKHYA\nAACa4Bo7QEQk4sk8PnKYdRJzu1WF0ZLDGR8y8p/WiSc7rCpMmnAkzCF1Z6y67DYu6wTQKRQ7\nQESksU/R6w/epzqFzrzZbXc9+KbqFOnFFXPf9Q6rDoCdOBULAACgCYodAACAJih2AAAAmqDY\nAQAAaIKbJ86wq9aGW9JM0/R6PZGIKxRydH5raau2cJ9dm8rKygp5Q4lEwq4NAgDQPXHEDgAA\nQBMUOwAAAE1Q7AAAADRBsQMAANAExQ4AAEATFDsAAABNUOwAAAA0QbEDAADQBMUOAABAE7zy\nBCAi4m5tLTzwiXVy8luDom63qjz6iUbNA3svsk4uubTB4w2rypMO4kZ8f+HH1km/xku84WxV\neQBogGIHiIjkHj8x+eHHrJMXn36iqVehqjz6CTZnVD08yTpZuOwvg4aeVJUnHYQd4ar/OGPV\n3fHePcNPjFSVB4AGOBULAACgCYodAACAJih2AAAAmqDYAQAAaIKbJwARkYaSfs+tfcY6CXs8\nqsJoyZcbWrF2vXWSmRlRFSZNZEQzVmx+5sxJpqowAPRAsQNEROIOR5vXqzqFzgwj0c2f3OSL\nDDE8YVYdADtxKhYAAEATHLEDgK7NcfSoLdsxMjLE4TBDrUY80fmtxfr16/xGoNxLn/yPLdvJ\nrstOJBItLS22bO2mAcNt2Y6WOGIHAACgCYodAACAJih2AAAAmqDYAQAAaIJiBwAAoAmKHQAA\ngCYodgAAAJqg2AEAAGiCYgcAAKAJih0AAIAmKHYAAACaoNgBAABowqk6AJAWeh4+MnnZo9bJ\nfz++vLmwp6o8+mnyZz505xTr5CeLqy8tPaUqTzpoc4Z+dvXd1sncbfOH1A1TlQeABih2gIiI\nEYtntLScMUkkVIXRUiJhBFvc1kk81t3PGCREgu4zVl3MjKkKA0AP3f0HKwAAgDYodgAAAJqg\n2AEAAGiCa+wAEZGmXj3frZhpnYR8PlVhtJSZFbmtYpt10qsooCpMmnDFXbftPGPVXRwoVhUG\ngB4odoCISCjH9/HE8apT6MydEb1yYq3qFOnFEXdc+cl41Sm6HcfRo7Zsx3Q6DdNwhCO2bC3W\nr58t2wE4FQsAAKAJih0AAIAmKHYAAACaoNgBAABogmIHAACgCYodAACAJih2AAAAmqDYAQAA\naIJiBwAAoAleeQIAYD+7XuABwNfCETsAAABNUOwAAAA0QbEDAADQBMUOAABAE9w8AYiI+E7V\nl236o3WyfdqNIZ9PVR79hFpdG58fbZ1874d7exUFVOVJBxFHZMOoddbJdw9O6hMoVpUHgAYo\ndoCISKa/aciWrdbJrqnXUOxsFG5zvrtlsHUy9srD3bzYxYzYuwO2Widln42m2AHoDE7FAgAA\naIJiBwAAoAmKHQAAgCa4xq4LqC3cpzqC/iKezOMjh1knMbdbVRgtOZzxISP/aZ14ssOqwqQJ\nR8IcUnfGqstu47JO4KvV1KRpexk1Kqo6AsUOEBGRxj5Frz94n+oUOvNmt9314JuqU6QXV8x9\n1zusOgB24lQsAACAJih2AAAAmlBzKra5uXn16tW7d++ORCKlpaWVlZW9evVSkgQAAEAbao7Y\nVVVV1dXVLVmy5PHHH/d4PMuXL4/H40qSAAAAaENBsauvr9++ffvcuXNLSkr69OlTWVl5/Pjx\nPXv2pD4JAACAThQUuwMHDrhcrpKSkuTD7Ozs4uLi/fv3pz4JAACAThRcYxcIBHw+n2EY7ZPc\n3Fy/39/+sLa2duPGje0Pb7rppr59+6YmW2Zmpl2bcjiddm3Nrf0TqhnicrlUh+gaTNMUEafT\nmXwDX83oBt9BNjEdpoi4nHwznhfTNA3DMNzGV3/oeUjY99snPRmGIZKw69eiJ+axZTu2y862\n57oyp9OZlZWVkZFxIf/WlgRfl7XVfdHx48c3bdrU/nDixImDBg365kOJiIybOTI1n+hrGSfp\nmAoAAHxDHA7H2d517tsSFBS7vLy8QCCQSCTa653f7+/Ro0f7B4wZM+YPf/hD+8OCgoLGxsZU\np+wE0zRzcnLC4XAwGFSdpWvw+XzNzc2JREJ1kC4gIyMjKysrGAyGw939ZRvOh2maXq+3qalJ\ndZCuwev1ulyuQCDA3Wznw+12m6YZCoVUB+kacnNz4/E434znyePxhMPhaPTLX8ciWTPO9m8V\nFLtBgwZFIpFDhw4NHDhQRAKBwKeffjpkyJD2D/D5fNaHfr8/EomkPucFS7bsRCJxtv8SdJDc\nVxS78+F0OkUkHo+zus6HaZp8J56/5PdgNBql2J2P5Dcjq+v88c14/hKJRCwWO9vuOsfBPFFy\n80R+fv4VV1zx9NNPHz58+Pjx4ytWr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            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7uzfQvOnnYAE",
        "colab_type": "code",
        "outputId": "eaaffe34-7e0d-49c5-f627-95b2a5b9e1a3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 593
        }
      },
      "source": [
        "plot4 <- ggplot(df, aes(x=citations))+\n",
        "  geom_histogram(data=filter(df, ((lettergroup == \"A Only\"|lettergroup == \"A and B\")&(role==\"professor\"))),fill = \"red\", alpha = 0.2, binwidth = 5000) + \n",
        "  geom_histogram(data=filter(df, ((lettergroup == \"B and C\"|lettergroup == \"B Only\"|lettergroup == \"A and B\")&(role==\"professor\"))),fill = \"blue\", alpha = 0.2, binwidth = 5000) +\n",
        "  geom_histogram(data=filter(df,( (lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\"))),fill = \"green\", alpha = 0.2, binwidth = 5000) +\n",
        "  geom_vline(xintercept = mean(filter(df, ((lettergroup == \"A Only\"|lettergroup == \"A and B\")&(role==\"professor\")))$citations, na.rm = TRUE), linetype=\"dotted\", color = \"red\", size=1.5) +\n",
        "  geom_vline(xintercept = mean(filter(df,( (lettergroup == \"B Only\"|lettergroup == \"A and B\"|lettergroup == \"B and C\")&(role==\"professor\")))$citations, na.rm = TRUE), linetype=\"dotted\", color = \"blue\", size=1.5) +\n",
        "  geom_vline(xintercept = mean(filter(df, ((lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\")))$citations, na.rm = TRUE), linetype=\"dotted\", color = \"green\", size=1.5) +\n",
        "  ggtitle(\"GS Citations Comparison Professors (A=red), (B=blue), (C=green)\")\n",
        "plot4\n",
        "\n",
        "mean(filter(df, ((lettergroup == \"A Only\"|lettergroup == \"A and B\")&(role==\"professor\")))$citations, na.rm = TRUE)\n",
        "mean(filter(df, ((lettergroup == \"B Only\"|lettergroup == \"A and B\"|lettergroup == \"B and C\")&(role==\"professor\")))$citations, na.rm = TRUE)\n",
        "mean(filter(df, ((lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\")))$citations, na.rm = TRUE)\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Warning message:\n",
            "“Removed 83 rows containing non-finite values (stat_bin).”\n",
            "Warning message:\n",
            "“Removed 197 rows containing non-finite values (stat_bin).”\n",
            "Warning message:\n",
            "“Removed 106 rows containing non-finite values (stat_bin).”\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 2397.75"
            ],
            "text/latex": "2397.75",
            "text/markdown": "2397.75",
            "text/html": [
              "2397.75"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 4434.891"
            ],
            "text/latex": "4434.89071038251",
            "text/markdown": "4434.89071038251",
            "text/html": [
              "4434.89071038251"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 6226.816"
            ],
            "text/latex": "6226.81578947368",
            "text/markdown": "6226.81578947368",
            "text/html": [
              "6226.81578947368"
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          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
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mAHAAAgCUdzF4Aouu5duTJ6QtWECeGePa10/fOfPYcOKWZzyJDQkCHB+F1WeVeF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\nMKE/AAAAAElFTkSuQmCC",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6Lfsxxe6rkTq",
        "colab_type": "code",
        "outputId": "8873eab4-5e22-4fdb-c7bf-5bf1a5de38b5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 436
        }
      },
      "source": [
        "plot(filter(df,(lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\"))$age,filter(df,(lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\"))$citations)\n",
        "abline(v=36,col=\"red\")"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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89PTk4eMWJE586df/75Z+0USksxAAAA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            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pwkZRpVNoFb1",
        "colab_type": "code",
        "outputId": "8df5989d-f896-4537-c29b-60defdeccd3e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 593
        }
      },
      "source": [
        "plot4 <- ggplot(df, aes(x=citations))+\n",
        "  geom_histogram(data=filter(df, ((lettergroup == \"A Only\"|lettergroup == \"A and B\")&(role==\"professor\")&(age < 36))),fill = \"red\", alpha = 0.2, binwidth = 5000) + \n",
        "  geom_histogram(data=filter(df, ((lettergroup == \"B and C\"|lettergroup == \"B Only\"|lettergroup == \"A and B\")&(role==\"professor\")&(age < 36))),fill = \"blue\", alpha = 0.2, binwidth = 5000) +\n",
        "  geom_histogram(data=filter(df,( (lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\")&(age < 36))),fill = \"green\", alpha = 0.2, binwidth = 5000) +\n",
        "  geom_vline(xintercept = mean(filter(df, ((lettergroup == \"A Only\"|lettergroup == \"A and B\")&(role==\"professor\")&(age < 36)))$citations, na.rm = TRUE), linetype=\"dotted\", color = \"red\", size=1.5) +\n",
        "  geom_vline(xintercept = mean(filter(df,( (lettergroup == \"B Only\"|lettergroup == \"A and B\"|lettergroup == \"B and C\")&(role==\"professor\")&(age < 36)))$citations, na.rm = TRUE), linetype=\"dotted\", color = \"blue\", size=1.5) +\n",
        "  geom_vline(xintercept = mean(filter(df, ((lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\")&(age < 36)))$citations, na.rm = TRUE), linetype=\"dotted\", color = \"green\", size=1.5) +\n",
        "  ggtitle(\"GS Citations Comparison Professors Age < 36 (A=red), (B=blue), (C=green)\")\n",
        "plot4\n",
        "\n",
        "mean(filter(df, ((lettergroup == \"A Only\"|lettergroup == \"A and B\")&(role==\"professor\")&(age < 36)))$citations, na.rm = TRUE)\n",
        "mean(filter(df, ((lettergroup == \"B Only\"|lettergroup == \"A and B\"|lettergroup == \"B and C\")&(role==\"professor\")&(age < 36)))$citations, na.rm = TRUE)\n",
        "mean(filter(df, ((lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\")&(age < 36)))$citations, na.rm = TRUE)\n",
        "\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Warning message:\n",
            "“Removed 55 rows containing non-finite values (stat_bin).”\n",
            "Warning message:\n",
            "“Removed 71 rows containing non-finite values (stat_bin).”\n",
            "Warning message:\n",
            "“Removed 35 rows containing non-finite values (stat_bin).”\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 2922.723"
            ],
            "text/latex": "2922.72340425532",
            "text/markdown": "2922.72340425532",
            "text/html": [
              "2922.72340425532"
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          },
          "metadata": {
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              "[1] 3148.835"
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            "text/latex": "3148.83505154639",
            "text/markdown": "3148.83505154639",
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9xxoaPpR31Ck66eXXbs2FFLYWGzr9XwHDuv13v00UdfffXVDXuM34033igiq1at\neu+994YNG+Z2u5OTk4cPHx5abeRvxX755Zennnqqy+Vyu93HHXfcyy+/rB9zasBy2FSdY4h+\nFxClOle6xixCdY4T/fY5sifjVoIFO6D5fjAbiKSf8Q/9KSdl6Ee/Hn300VgX0ih79uyx2Wzd\nu3cP/fVI/SIq4wne1VJj9muXoJ0ThytdtT0ZtxLjGjsAaG6//PLLG2+8EXa1vn4Up5bn5CWu\nKVOmOByOBx54wOfzxbqWhnvkkUd8Pt9NN90U+sCEDz74oE2bNrXfC6nG7Ncu/jsnUVa6ansy\nfsU6WQL1wxE7NJOVK1eKyNChQ6uqqvQhhYWFRx11lIi89dZbsa2tmdx6660i8vjjj8e6kAYq\nKChITk7Wf7AkdPjQoUNvuummOl+e6LNfu4TonIRY6WrqybhFsEOCIdihmVRWVuo//ZSTk3PL\nLbdMnjxZv2r+ggsuiHVpzaWsrCw7OzstLa2goCDWtTTE2WefbbVajbsQ6ivRZ792CdE5CbHS\nNbInWx7BDgmGYIfmU1xcPGfOnJycHLfb7XQ6+/Xr9+CDD/p8vljX1Yy2bt2ampo6dOjQysrK\nWNdSP/pl70uXLm3MRBJ39muXQJ0T5ytdk/RkCzNpdf1aJQAAABJCIlwGCAAAgCgQ7AAAABRB\nsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEdZYF1C30tJSv98f6yqi5XQ6\nzWZzaWlpA1671rr2YcfDRjPJb31tpF9ELvpqXmkgSUSC3btrHs+kSZVnnJEwHWIwm802m62y\nsjLWhcQdu91us9kqKioCgUCsa4k7LperrKws1lXEHYvFkpSU5PP5qqqqYl1L3ElKSqqqqgoG\ng7EuJO4kJycHg8Hy8vJYFxJ3bDabiPh8vlgXEi2z2ezxeGr6bwIEO7/fn0DdnZycbLVaG1Zw\ngaXgfev7RtNldlrfLxeRf0vfIvGKiHwqInLeeRUJ1CEGq9Vqt9sTsfLmZrfbrVZrIBCgcyJZ\nLBa6pVpWq7WqqorOieR0OgOBQAIdDmgxVqs1sfanLcZisZjN5gTqGYvFUst/ORULAACgiAQ4\nYnfkyPZnTy2fajTtPlP5VE1Ebvh4fYXfKiL+nBwtNTUnh2+iAACgGgS7ONLP36+fv1/okNK7\nRERu/N1YDbl6DwAAHAk4FQsAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCFClv74AACAA\nSURBVIIdAACAIgh2AAAAiiDYAQAAKCIBHlBsNptr/1m0uGIymaSu33E7MlksFpPJRM9E0peZ\nxFrOWxLdEslsNgvLTA307YymabEuJE6xzEQym82JtXvStwA1McX/0l9ZWVn7PMQVq9VqMpkS\n6LeEW4zJZDKbzYFAINaFxB3996f9fn/8r4wtT//Z8lhXEXdMJpPVag0Gg6xQkSwWSzAYZG2K\nZLPZNE1jhYqkZ4xgMBjrQqKlaZrdbq/pvwlwxK6ioiKBclJqaqrVai0qKop1IXHHarU6nc7D\nhw/HupC4k5yc7HQ6S0tLE2g5bzHp6emsTZFsNpvX662oqCgrK4t1LXEnJSWlrKyM+BIpIyMj\nEAiwQkVKSkoym80JtDZZLJZagl3CHAkDAABA7Qh2AAAAiiDYAQAAKCIBrrE7cnxj/eZt29tG\n0+Y3zVioicjSj4dUBqwiEsjJCXq9p53my8nh8hEAABCOYBdHNlk33Zt8r9F0BZ133VsuIvOl\nsEi8IiJrRUTS0koIdgAAIBKnYgEAABRBsAMAAFAEwQ4AAEARXGMXR9yau0ugi9F0BuyBLlUi\n0mXP7pJgkYgEMzI0h8Pj4YnqAACgGgS7OHJu5bnnVp4bOuTQRpH/f8uErkwkYR6NDQAAWhin\nYgEAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARfCA4t/Z\nvLmxHeLxmCwWKSxsgo7NzfU3fiIAAODIwRE7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAA\nAEVwV2wcKbOUFNn3G800k7/bjyYR+Wm3PaiZRETLyNAcjlatgm63FrMqAQBAvCLYxZEP2rzy\nUJ8bjKYr6CzNKBeRblJYJF5j+KJFJXl5FTGoDwAAxDdOxQIAACiCYAcAAKAIgh0AAIAiCHYA\nAACK4OaJODJ0/8hHP3nPaPbu4S98xyQir+3YFgiIiAQ7dtRcrk6dgrGqEAAAxDOCXRxJ8aWn\n+NKN5tGa358rIpKdGzqWv4WrAgAAiYJTsQAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACK\nINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEA\nACjCGusC8Jv1GW+t7P6A0Uy3WT883icip+14siTgFJFgx46ayzVjRtmoUVUxqxIAAMQrgl0c\nKbId+NazyWi6gk7r5nIR2SxHFYlXRGS7iMiBAxxnBQAA1SAiAAAAKIJgBwAAoAiCHQAAgCK4\nxi6OdC/tc9nOG41mxzStfKomIjd8vL7CbxURf06Olpqak+OPWYkAACCOEeziSFZx/6zi/kYz\nN9dfepeIyI2/G6u0ZYsCAAAJg1OxAAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEA\nACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKMIa\n6wLwmx/cX3/c6l9G8782bcZCTUSWfjykMmAVkUBOTtDrPe00X06OP2ZVAgCAeEWwiyPbPJ8/\ncdQco+kKOu+6t1xE5kthkXhFRNaKiKSllRDsAABAJE7FAgAAKIJgBwAAoAiCHQAAgCK4xi6O\nuALuduVdjabXYgt0qRKRLnt2lwSLRCSYkaE5HB6PFqsKAQBAPCPYxZFh+0YP2zfaaObm+g9t\nFPn/t0zoykTKWrwuAACQGDgVCwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAi\nCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCKssS4A\nvymzlBTZ9xvNNJO/248mEflptz2omUREy8jQHI5WrYJutxazKgEAQLwi2MWRD9q88lCfG4ym\nK+gszSgXkW5SWCReY/iiRSV5eRUxqA8AAMQ3TsUCAAAogmAHAACgCIIdAACAIgh2AAAAimj2\nmyfeeOONl1566cCBAx06dBg3btyxxx4rIiUlJY8//vgXX3zh8/l69eqVn5/fpk2b5q4k/g3d\nP/LRT94zmr17+AvfMYnIazu2BQIiIsGOHTWXq1OnYKwqBAAA8ax5g93atWuff/75KVOmdO7c\nef369cuXL8/JyXG5XEuWLCkpKZk9e7bD4Xjuuefmzp375z//2Ww+0g8fpvjSU3zpRvNoze/P\nFRHJzg0dy9/CVQEAgETRvFnq+eefHz9+/KBBg9q0aTN69OjHH3/c5XLt379/w4YN1113Xbdu\n3dq3b5+fn19QUPDll182ayUAAADKa8YjdgcOHNi7d6+ITJ06dc+ePV26dLnmmmt69+69fft2\nm83WrVs3fTS3292xY8dt27bl5v7/A1MHDx787rvvjOl06tTJ5XI1X52hrFZLI6dgMplExGpt\ngo612UyNn0j8sFgsZrPZZrPFupC4ox+rbpJlRj0mk4llJpK+tFgsFjonktlstlqt+qYYYVih\nqpVwu6faz3A2b7ATkXfeeefWW2/1er3/+Mc/5syZs2zZsuLiYo/HE7rWeb3eoqIio7l58+Zb\nbrnFaD766KODBw9uvjpDud1NNZ0mmJDXW/c4Ccer5Fw1heTk5FiXEKdYZmricDgcDkesq4hH\nTbIFVpLFYmGFqkkCrU3BYG2X2jf7QYIxY8Z07NhRRK666qr33ntv48aN8r/DWjXp0aPHlClT\njGbr1q1LS0ubu05deXljz007HA6z2VxeXt74YkpLlbpJQv8+VFlZGetC4o7dbrfZbBUVFQH9\nHhmEcLlcZWVlsa4i7lgslqSkJJ/PV1VVFeta4k5SUlJVVVXte74jU3JycjAYbJLdk2JsNpvJ\nZEqgtclkMtVyJrMZg116erqEHIewWCzp6emHDh3q1KlTcXGxpmlGvCsqKkpLSzNe2Llz5/Hj\nxxvNoqKiFlsQKysb2yF2u11EmiS+lJcrdZ+E1WptqsirGCPy+ny+WNcSd5xOJ8tMJJvNpgc7\nOieSvjb5/UptP5sEwa4mmqYl1u7JYrHUEuya8eaJ9PT0tLS0rVu36s2qqqpff/21bdu2PXv2\n9Pl8O3bs0IcXFxfv2rUrOzu7+SoBAAA4EjRjsDObzeeee+4//vGPTZs27d+//7HHHktKSjr2\n2GPT09OHDBmydOnSH374oaCgYPHixT169OjTp0/zVQIAAHAkaN5r7C688MKysrJFixaVlJT0\n6tVr3rx5SUlJIjJ16tTHH3/8nnvuCQQCOTk5s2bN4g4mAACARmreYGc2m8eNGzdu3Liw4S6X\n68Ybb2zWtwYAADjSHOk/9gAAAKAMgh0AAIAiCHYAAACKINgBAAAogmAHAACgCH53PI6sz3hr\nZfcHjGa6zfrh8T4ROW3HkyUBp4gEO3bUXK4ZM8pGjUqYXz4BAAAthmAXR4psB771bDKarqDT\nurlcRDbLUUXiFRHZLiJy4ADHWQEAQDWICAAAAIog2AEAACiCYAcAAKAIrrGLI91L+1y287df\nWuuYppVP1UTkho/XV/itIuLPydFSU3Ny/DErEQAAxDGCXRzJKu6fVdzfaObm+kvvEhH5/a/q\nlrZsUQAAIGFwKhYAAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGw\nAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFWGNdAH6zy7X9i7R1\nRnOLNXjVChGRZzfkVAUsIuLPzta83iFDfD17BmJVJAAAiFsEuziyxfvJ4t7TjaYr6Jx6U7mI\n3CaFReI1hi9aVEKwAwAAkTgVCwAAoAiCHQAAgCIIdgAAAIrgGrs4YtccHn+q0XSLQ0t1iEhq\ncbFZ00RES04Wq9Vu12JWIgAAiGMEuzhy6t6LT917sdHMzfUf2C4islFExC8iIkWxqAsAACQG\nTsUCAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEA\nACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCGusC8Bv/OaqcnOZ0SwSf2qhiEhR\nsVnTRES05GSxWl0usdu1GNUIAADiF8EujrzTdtVDfW4wmq6gs7R1uYj0kMIi8RrDFy0qycur\niEF9AAAgvnEqFgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEN0/EkWMPnrbg85eMZs/O/qIXTCLy\n7JbN/oBJRALdu2tud1ZWIGYlAgCAOEawiyOtKjNbVWYazdxOft9wEZHjhoeO5WvhqgAAQKLg\nVCwAAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAA\ngCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKsMa6APxmY6u1/9f5EaOZkWRePSog\nIhdtua8skCQigW7dNI8nP7/89NOrYlYlAACIVwS7OLLfvvez9PeNpivotP27XEQ+kL5F4hUR\nOSQiMnp0ZUzKAwAAcY5TsQAAAIog2AEAACiCYAcAAKAIrrGLI53Kep5dMMFotk+RinFBEcnb\n8HF5wC4i/uxszevNygrEqkIAABDPCHZxJKdocE7RYKOZm+svWSgiMvt3Y5W0bFEAACBhcCoW\nAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEAR\nBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARVhjXQB+s8u1/Yu0dUZzizV41QoRkWc3\n5FQFLCLiz87WvN4hQ3w9ewZiVSQAAIhbBLs4ssX7yeLe042mK+icelO5iNwmhUXiNYYvWlRC\nsAMAAJE4FQsAAKCIBDhiZ7fb7XZ7y7yX09nYpGsymUTE6XQ24LVhs6lPKpLD4UhOtjRg+rFl\nNputVmtycnKsC4k7NptNRJKSklpsOU8gJpOJZSaS2WwWEbvdXtNW4khmsVicTmcwGIx1IfHI\nbDazQkWyWq0iokzPJECwCwaDLbaKBgKNDUz6TjoQaMip0rDZ1GoYLRAI+P3+Bkw/tiwWi8Vi\nScTKm5vFYhGRQCDQsMVGeSwzkfRlJhgM0jmRbDYba1NNNE1jmYlkMplMJlMC9Uzt3+gSINj5\n/X6fz9cy71VV1dgOcTgcIlJVVdWA15p9Fo8/1Wi6xaGl2kUktbjYrGkioiUni9VqNvsqKysb\nWWfLs1qtFoslEStvbvqXRZ/P12LLeQJJTk5mmYmkf4H0+/10TiSHw1FVVZVAO+kW4/F4NE1j\nmYlkMpnMZnMC9Yz+1a4mCRDsjhyn7r341L0XG83cXP+B7SIiG0VE9I1UUSzqAgAAiYGbJwAA\nABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGw\nAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFCENdYF4Dd+c1W5ucxoFok/tVBEpKjYrGki\nIlpyslitLpfY7VqMagQAAPGLYBdH3mm76qE+NxhNV9BZ2rpcRHpIYZF4jeGLFpXk5VXEoD4A\nABDfOBULAACgCIIdAACAIgh2AAAAiiDYAQAAKIKbJ+LIsQdPW/D5S0azZ2d/0QsmEXl2y2Z/\nwCQige7dNbc7KysQsxIBAEAcI9jFkVaVma0qM41mbie/b7iIyHHDQ8fytXBVAAAgUXAqFgAA\nQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7\nAAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEVYY10AfrOx1dr/6/yI0cxIMq8eFRCRi7bc\nVxZIEpFAt26ax5OfX3766VUxqxIAAMQrgl0c2W/f+1n6+0bTFXTa/l0uIh9I3yLxiogcEhEZ\nPboyJuUBAIA4x6lYAAAARRDsAAAAFEGwAwAAUATX2MWRTmU9zy6YYDTbp0jFuKCI5G34uDxg\nFxF/drbm9WZlBWJVIQAAiGcEuziSUzQ4p2iw0czN9ZcsFBGZ/buxSlq2KAAAkDA4FQsAAKAI\ngh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAA\ngCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAirLEuAL/Z5dr+Rdo6o7nFGrxqhYjIsxtyqgIW\nEfFnZ2te75Ahvp49A7EqEgAAxC2CXRzZ4v1kce/pRtMVdE69qVxEbpPCIvEawxctKiHYAQCA\nSJyKBQAAUATBDgAAQBEEOwAAAEVwjV0csWsOjz/VaLrFoaU6RCS1uNisaSKiJSeL1Wq3azEr\nEQAAxDGCXRw5de/Fp+692Gjm5voPbBcR2Sgi4hcRkaJY1AUAABIDp2IBAAAUQbADAABQBMEO\nAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEAR\nBDsAAABFEOwAAAAUQbADAABQhDXWBeA3fnNVubnMaBaJP7VQRKSo2KxpIiJacrJYrS6X2O1a\njGoEAADxi2AXR95pu+qhPjcYTVfQWdq6XER6SGGReI3hixaV5OVVxKA+AAAQ3zgVCwAAoAiC\nHQAAgCIIdgAAAIog2AEAACiCmyfiyLEHT1vw+UtGs2dnf9ELJhF5dstmf8AkIoHu3TW3Oysr\nELMSAQBAHCPYxZFWlZmtKjONZm4nv2+4iMhxw0PH8rVwVQAAIFFwKhYAAEARBDsAAABFEOwA\nAAAUQbADAABQBMEOAABAEQQ7AAAARbRQsFu7du1555330Ucf6c2SkpJFixZNmDBh7Nixc+fO\n3bdvX8uUAQAAoLCWCHaFhYVPP/203W43hixZsmTfvn2zZ89+8MEHXS7X3Llzg8FgC1QCAACg\nsJYIdsuWLTv55JNdLpfe3L9//4YNG6677rpu3bq1b98+Pz+/oKDgyy+/bIFKAAAAFNbswW79\n+vU7duy44oorjCHbt2+32WzdunXTm263u2PHjtu2bWvuSgAAANTWvD8pVlJSsmzZsunTpycl\nJRkDi4uLPR6PyWQyhni93qKiIqO5efPmxx57zGhOmjSpV69ezVqnwe021T1Srcxms4i43e7G\nF+P1ao2fSPwwmUxms9nr9ca6kLhjsVhEJDk5WdOU+sSbhMlkYpmJpG8/k5KSbDZbrGuJOxaL\nxe12szZVy2KxsEJF0nfcCbQ21b54N2+we/LJJwcMGNCvX7+w4aGpLtLBgwc/+eQTozlhwoQW\n625rE/WHtSkmlDjLWD3o6w8iNckyo6QE2tq2MLPZzApVLbqlJiaTiRWqJvp37IRQ+20Jzbgv\n2bRp02efffbII4+EDU9NTS0uLtY0zYh3RUVFaWlpxggnnXTSu+++azQDgcCBAwear85QRUWN\n7RC3222xWEIPQDbYgQP+xk8kflit1qSkpJKSklgXEndcLpfT6SwuLvb5fLGuJe6kpaUdOnQo\n1lXEHZvNlpKSUl5eXlZWFuta4o7H4ykvL/f7ldp+NolWrVr5/f4m2T0pJikpyWw2J9DaZLFY\nUlNTa/pvMwa7t99+u7S0ND8/X2+WlJQsXry4X79+EydO9Pl8O3bsOOqoo0SkuLh4165d2dnZ\nv9VktaakpBjNoqKiQCDQfHWGaqqj900yHcVOJeizo9hMNSFN0+icatEtkYy1ic6pFj1TC3om\nkvY/sS4kWjE7FZufn3/llVcazenTp48bN+64445LSUkZMmTI0qVLp06darfbn3jiiR49evTp\n06f5KkkUG1ut/b/Ovx3gzEgyrx4VEJGLttxXFkgSkUC3bprHk59ffvrpVTGrEgAAxKtmDHYe\nj8fj8RhNk8nk8Xj0Q3FTp059/PHH77nnnkAgkJOTM2vWrNqvujtC7Lfv/Sz9faPpCjpt/y4X\nkQ+kb5F4RUQOiYiMHl0Zk/IAAECca7nrtZ955hnjb5fLdeONN7bYWwMAABwJuHUIAABAEQQ7\nAAAARfDorDjSqazn2QUTjGb7FKkYFxSRvA0flwfsIuLPzta83qysFrpHGAAAJBaCXRzJKRqc\nUzTYaObm+ksWiojM/t1YPAcOAABUj1OxAAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog\n2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAA\nKMIa6wLwm12u7V+krTOaW6zBq1aIiDy7IacqYBERf3a25vUOGeLr2TMQqyIBAEDcItjFkS3e\nTxb3nm40XUHn1JvKReQ2KSwSrzF80aISgh0AAIjEqVgAAABFEOwAAAAUQbADAABQBNfYxRG7\n5vD4U42mWxxaqkNEUouLzZomIlpyslitdrsWsxIBAEAcI9jFkVP3Xnzq3ouNZm6u/8B2EZGN\nIiJ+EREpikVdAAAgMXAqFgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwA\nAAAUEVWwGzRo0DfffBM5/MUXX+zTp09TlwQAAICGiCrYffrpp6WlpWED/X7/li1bduzY0QxV\nAQAAoN7q+OUJk8mk/3HsscdWO8KAAQOauKKYsnz7bSOnYEpOFrPZcvhwE1ST270JJgIAAI4Y\ndQS7TZs2/fvf/542bdro0aMzMjJC/2Uymdq3b3/ttdc2Z3kAAACIVh3BLjc3Nzc394033njw\nwQd79uzZMjUBAACgAeoIdrq33nqruesAAABAI0V188S+ffsmTJjQoUMHi8ViitDcJQIAACAa\nUR2xu+GGG1566aXhw4ePGDHCao3qJQAAAGhhUaW0d99994UXXhg9enRzV3OEe7P36gWn3Gs0\nXUFnqaVcRFKlsEi8xvBFi0ry8ipiUB8AAIhvUZ2KLS8vHzp0aHOXAgAAgMaIKtgNHDhwy5Yt\nzV0KAAAAGiOqYLd48eLbbrtt/fr1zV0NAAAAGiyqa+ymTZu2Z8+eoUOHulyu1q1bh/33xx9/\nbPq6AAAAUE9RBTuz2ZyVlZWVldXc1Rzh+hcMnP2v+Uaz26A2h580ichfPt/oC5hFJJCVpaWk\n5Ob6Y1YiAACIY1EFuw8++KC564CIZB5ul3m4ndHsO6B75XkiIiPOCx2rsoWrAgAAiSKqa+wA\nAAAQ/6I6YpeRkVHTv6qqqoqLi5uuHgAAADRQVMHuxBNPDBuyZ8+eL7/8skePHsOHD2+GqgAA\nAFBvUQW7l19+OXLg3r17x4wZM3LkyKYuCQAAAA3R8GvsMjMzFy5cOHv27CasBgAAAA3WqJsn\nOnbs+PXXXzdVKQAAAGiMhgc7TdNWrFjRqlWrJqwGAAAADRbVNXb9+vULGxIIBPbu3bt///6b\nb765GaoCAABAvUUV7CLZbLZjjjlm9OjR+fn5TVsQAAAAGiaqYLdp06bmrgMAAACNVI8jdgcO\nHPjoo492795tNps7duw4dOhQj8fTfJUBAACgXqIKdsFg8NZbb/3zn//s8/mMgcnJybNnz77l\nlluarTYAAADUQ1TBbuHChQsXLrzgggvOOeecdu3aBYPBgoKCf/7zn7feemvbtm3HjRvX3FUC\nAACgTlEFu7/+9a8zZsxYuHBh6MDrrrtu4sSJf/rTnwh2AAAA8SCqYPf999+fffbZkcNHjx69\ncuXKpi7pyLWp/Wev9H3BaLZ2pqy8IiAi13w+rTzgEJFAr15Bj2f8+Iphw3w1TgUAABypogp2\nVqu1rKwscrjP57NYLE1d0pFrT8ru93usNZquoNPxarmIvCbPFIlXRGS3iMjJJ/tECHYAACBc\nVL880b9//0WLFlVVVYUOrKioePTRRwcNGtQ8hQEAAKB+ojpiN3PmzHPOOadnz56jRo3q0KGD\npmm7du16/fXX9+7du2bNmuYuEQAAANGIKtiNGjXqn//858yZM5ctW2YMPProo5cvX3766ac3\nW20AAACoh2gfUHz++eeff/75u3fvLigoMJlMnTp1atu2bbNWdgRqV9z+5B2nGc3WmSmV5wVE\n5NzPPw29eaJLl0DMSgQAAHEs2mC3d+/eVatWTZkypX379iLy66+/zp07Nz8/v02bNs1Z3pGl\n3+4B/XYPMJp9L+l++EkRkcW/G+twyxYFAAASRlQ3T2zbtq1///4333yzMaSsrGz27Nm5ubnf\nf/99s9UGAACAeogq2N1+++1ut/s///mPMaRLly5ff/212+3mJ8UAAADiRFTBbt26dXfcccex\nxx4bOjA7O/uWW255++23m6cwAAAA1E9Uwa6kpMRut0cOd7vdgQAX8gMAAMSFaB9QvHLlyrAM\nd/jw4SVLlvTv3795CgMAAED9RHVX7N133z1y5MisrKyRI0e2bt06GAzu2rVr9erVBw4ceOON\nN5q7RAAAAEQjqmB35plnrlmzZubMmUuXLjUGHnPMMU899dSZZ57ZbLUBAACgHqJ9jt2IESNG\njBhx4MCB3bt3WyyWTp06eTyeZq0MAAAA9RJtsNO1atWqVatWzVQKAAAAGiOqmycAAAAQ/wh2\nAAAAiiDYAQAAKIJgBwAAoAiCHQAAgCLqd1csmtVez56tbb42mjvNX174sklEVn/exRcwi0gg\nK0tLScnN9Xfpwi+5AQCAcAS7OPJ5h08XnHKv0XQFneOvLheR66WwSLzG8EWLSvLyCHYAACAc\np2IBAAAUQbADAABQBMEOAABAEQQ7AAAARXDzRBwZufWckVvPMZp9L+m+/1cRke/EJ7I/ZmUB\nAIAEwRE7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEWYNE2LdQ118Pv9FoulZd7r0799\n08gpmEwmEWmSXh34h+zGTySumEwJsLy1vCZcZtTDMlMTFpuasMzUhGVGzIFHWwAAIABJREFU\nGcFgsJZclACPOyktLfX5fC3zXiUlJY2cQnJystlsbvx0ROTAgQONn0j8sFqtTqfz8OHDsS4k\n7iQnJzudzuLi4hZbzhNIenr6wYMHY11F3LHZbF6vt6ysrKysLNa1xJ2UlJSysjK/3x/rQuJO\nRkaG3+8vLCyMdSFxJykpyWw2J9DaZLFY0tLSavovp2IBAAAUQbADAABQBMEOAABAEQQ7AAAA\nRRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUkwAOKjxxv9l694JR7jaYr6Cy1lItIqhQWidcY\nvmhRSV5eRQzqAwAA8Y0jdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiuHkijvQvGDj7X/ONZrdB\nbQ4/aRKRv3y+0Rcwi0ggK0tLScnN9cesRAAAEMcIdnEk83C7zMPtjGbfAd0rzxMRGXFe6FiV\nLVwVAABIFJyKBQAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwA\nAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBHWWBeA32xq/9krfV8w\nmq2dKSuvCIjINZ9PKw84RCTQq1fQ4xk/vmLYMF/MqgQAAPGKYBdH9qTsfr/HWqPpCjodr5aL\nyGvyTJF4RUR2i4icfLJPhGAHAADCcSoWAABAEQQ7AAAARRDsAAAAFME1dnGkXXH7k3ecZjRb\nZ6ZUnhcQkXM//zT05okuXQIxKxEAAMQxgl0c6bd7QL/dA4xm30u6H35SRGTx78Y63LJFAQCA\nhMGpWAAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7\nAAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRhjXUB+M1ez56tbb42mjvNX174\nsklEVn/exRcwi0ggK0tLScnN9XfpEohZlQAAIF4R7OLI5x0+XXDKvUbTFXSOv7pcRK6XwiLx\nGsMXLSrJyyPYAQCAcJyKBQAAUATBDgAAQBEEOwAAAEUQ7AAAABTBzRNxZOTWc0ZuPcdo9r2k\n+/5fRUS+E5/I/piVBQAAEgRH7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQ\nBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4A\nAEAR1lgXgN+82Xv1glPuNZquoLPUUi4iqVJYJF5j+KJFJXl5FTGoDwAAxDeO2AEAACiCYAcA\nAKAIgh0AAIAiCHYAAACK4OaJONK/YODsf803mt0GtTn8pElE/vL5Rl/ALCKBrCwtJSU31x+z\nEgEAQBwj2MWRzMPtMg+3M5p9B3SvPE9EZMR5oWNVtnBVAAAgUXAqFgAAQBEEOwAAAEUQ7AAA\nABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARfCTYr/zbeut\njZyC0+k0mUxlSWWNLyawOavxE2kq/EAtAADxjyN2AAAAiiDYAQAAKIJgBwAAoAiusYsj37be\n+n6PtUYz3fTK38YG5f+1d+/BUZX3H8e/u3v2ns0NCARCYogkREBAKYUfBVqhFRUiaFtl4uUX\nWkkqbWSoVXG8UhvG2lGUEZ2MMlodtNWitaBOJUqr84OWa6BCAqRyi2BCaHYTNslef39sXSIh\nEclmz+bh/forz7Nnn/3m5Nndz57nnI1IeU15W8gqIqdzCgLO5DlzOiZM4Iw3AABwtr4NdqdO\nnVqzZk11dbXP5xsxYkRJSUl+fr6ItLa2VlZW7t692+/3FxQUlJWVZWRk9Gkl/cJJZ+P2rH9G\nm7bgvzL+5hWR9+Ult6SIiDSKiFx5pX/CBH0qBAAAiaxvl2Ife+yxkydPPvrooytXrhw4cODy\n5cvb29tFZOXKlQ0NDQ8//PATTzzhcDiWL18eCoX6tBIAAADl9WGwa2lpGTRo0OLFi0eMGJGZ\nmXnbbbd5PJ6jR4+ePHly69atixYtys3NHTp0aFlZWX19/Z49e/quEgAAgItBHy7FulyuZcuW\nRZtNTU1Go3HgwIE1NTVmszk3NzfSn5SUlJWVVVtbO27cuEhPW1vbqVOnone0Wq0mk6nv6uzM\nYDT0eohejHN+dzIYjEZjvK966f2fwGg0GgyGuP0p+xGDwSAiRqORnXNO7JauIq8AzJlzMhgM\n7JkesGe66ndvTz1ngDhdPNHS0rJq1ap58+alpaV5PB6XyxV5M4tISUlxu93R5pYtW371q19F\nm6tXr540aVJ86rTb7DqOMyyQNen4lGhzoCnnP7OCInLtp7u8IYuItOdeFkxKycuzJSfbYlLn\n+UtLi804FoslNgMpx+Vy6V1CgkqL1eRTjs1ms9ni/VLQL5jNZr1LSFCapvGE6o7dHpsAEAc9\nn70Wj2B37NixX//61+PHj7/99tsjPZ1TXVfDhg274YYbos20tLTImXlxEAj09mpTk2YyiOHC\nxhn5RcHILwqizYJBN9QsFxH5xVe28omIz9ebGi9Ee3tvT4KMfIb2+/0xqUclmqZpmubz+TjT\ntCur1drR0aF3FQnHaDRaLJZAIND7lyz1RPYMz6aubDZbKBTyxf/9I+GZTCaD4QLfuPXSw4e6\nPg921dXVv/3tbxcsWDBnzpxIT2pqqsfjCYfD0Xjndrs7f4bIz8+///77o023293a2trXdUb0\nfsbbTXYxxGAcEfF6Y/B/yWKltbW3M17TNLvdHrc/ZT/idDo1TWtrayP1dmWxWJgzXZnNZovF\n4vP5EupVIkEkJyd7vd7+9SYdH5FgxxOqK5vNZjQa+9GzyWQy9RDs+vZUrb179z7++ONLly6N\npjoRGTlypN/vr6urizQjV1QUFhb2aSUAAADK68Ng5/P5Vq5cWVRUlJOTc/JL7e3t6enpU6ZM\nefbZZz/77LP6+vqnnnoqLy/vsssu67tKAAAALgZ9uBS7b9++EydOrF27du3atdHO0tLS6667\nrry8vLKy8pFHHgkGg6NHj37ggQd6PusOAAAAX6sPg924cePeeeedc97kcDiWLFnSdw8NAABw\nEYr316EBAACgjxDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEAR\nBDsAAABF9OF/nsA31eQ8eSjt39HmF7bQvHUiIh/WZgeCRhE5nVMQcCbn5wczM0N6FQkAABIW\nwS6B1A7a9/LEF6JNW9Dx4ASviEyTZrekRPuXLvVmZvp0qA8AACQ2lmIBAAAUQbADAABQBMEO\nAABAEQQ7AAAARXDxRAL5n0PT/ufQtGgzL62oaqOIyJ8kLNKsW1kAAKCf4IgdAACAIgh2AAAA\niiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgB\nAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKELTuwCc8X+XfPzyxBeiTVvQ0aZ5RSRVmt2S\nEu1futR77bU+HeoDAACJjSN2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCK4eCKBFDQWLtqyONrM\nsk3c86CIyKO12wNBo4iczikIOJPz84N6VQgAABIZwS6BDDg9cMDpgdFmXlpRwwwRkTEzOm/l\nj3NVAACgv2ApFgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbAD\nAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEVoeheAM/YPqtmUVxVt\nphv+/GpxSETKa8rbQlYROZ1TEHAmz5nTMWFCQLcqAQBAoiLYJZCTzsbtWf+MNm3Bf2X8zSsi\n78tLbkkREWkUEbnySv+ECfpUCAAAEhlLsQAAAIog2AEAACiCYAcAAKAIzrFLIANPD7ry2KRo\nM92Q1TAjJCKza3Z0vngiMzOkW4kAACCBEewSSH7jqPzGUdFmXlrRngdFRO74ylan41sUAADo\nN1iKBQAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbAD\nAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBGa3gXgjGZ783FXfbTZand9b5NB\nRLbVDQyGDCLSNiwv4EjKzg4NHBjSrUoAAJCoCHYJZO/gPS9PfCHatAZt7ZPaReR70uyWlGh/\n8bLaqfOOx7m2cTImzo8IAAC+KZZiAQAAFEGwAwAAUATBDgAAQBEEOwAAAEVw8UQCmXRkyvjP\nr4g2Q0Oz1mwUEXmsdbOERUT8dntIM1msXBILAADOgWCXQLSQpvnO/EWCIVeHS0TE5Ppvj0nC\nIgE9SgMAAP0AS7EAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiC\nHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAitK/fRG9ms9lkMsXnsTSt1zvEEKNxRIxm\nc+8HiRWbzdbLEUwmk8lk6v046olMb4vFErd53o8YDAbmTFeRqaJpGjunK6PRaLFYYvIirB6e\nUOdkNpv7154xGAw93No/pn7Pv0MCPlBMxjEdOdL7QWLFkD8+NuPE60/Zj0T2icFgYOecE7ul\nK+ZMDwxf0ruQRMSeOafoE0rvQs5Xvw92fr/f7/fH7bF6OYKmaWK4wHH+mb35tfGvRJvWgPl4\nhl9E8r17WyRZRPw2a8houqlk6+QZdb2s85tqa2vr5QiaphmNxt6Pox6j0Wg2mzs6OuI2z/sR\nu93OnOnKbDbbbDa/38/O6SrybAoEAnoXknCcTmcoFGLOdBUOh/vX25PJZHI4HN3d2g+C3cUj\nYAx4LaejzaDRYj3tExG3pLglRUSkTUTE7+fMSAAAcA5EBAAAAEUQ7AAAABRBsAMAAFAE59gl\nkLymS2/ZURJtan75uFRE5M7aN/0hTUROZWf5nM6RhQ16VQgAABIZwS6BDG7JHNyS2bln3ywR\nkUtmRTvq41wSAADoR1iKBQAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsA\nAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBGa3gXgjLoB\nBzbnfBJtWvzGVT8PiciK/T/vCFpF5FROVofDMXnGvy8d1aBblQAAIFER7BLIF64TH4/YFG1a\nA5bCjT4ReUfedkuKiEi9iEhOXhPBDgAAdMVSLAAAgCIIdgAAAIog2AEAACiCc+wSSEpbamHD\n6GjT4jPVXx4UkcmHtntDdhFxZw722+1p6V7dSgQAAAmMYJdARn8xdvQXYzv3bHhQROQGOfZl\nx4F41wQAAPoPlmIBAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEE\nOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQhKZ3ATij2d583FUf\nbZqC8r2PRET2HB4RDJlExJ052G+zZWa5U9O9ehUJAAASFsEugewdvOfliS9Em9aA5XdX+USk\nWJrdkhLtv6V087RZB3SoDwAAJDaWYgEAABRBsAMAAFAEwQ4AAEARBDsAAABFcPFEApl0ZMr4\nz6840w7Jyy+JiKzw/ikcFhEJ2Kwhk8liCepSHgAASHAEuwSihTTN95W/SIdTRMTk/HIDCYro\nk+qqq3s7VUwmk9Vq8HpjMOXGjQv0fhAAANTDUiwAAIAiCHYAAACKINgBAAAogmAHAACgCIId\nAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAi\nCHYAAACK0PQuAGf8M3vza+NfiTatAfPxDL+I5Hv3tkiyiPht1pDRdFPJ1skz6nSrEgAAJCqC\nXQIJGANey+loM2i0WE/7RMQtKW5JERFpExHx+znOCgAAzoGIAAAAoAiCHQAAgCIIdgAAAIrg\nHLsEktd06S07SqJNzS8fl4qI3Fn7pj+kicip7Cyf0zmysEGvCgEAQCIj2CWQwS2Zg1syO/fs\nmyUicsmsaEd9nEsCAAD9CEuxAAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiC\nYAcAAKAIgh0AAIAi+IJi9D/V1Qk0b8eNC+hdAgAA/8UROwAAAEUQ7AAAABRBsAMAAFAEwQ4A\nAEARBDsAAABFJNDVhagbcGBzzifRpsVvXPXzkIis2P/zjqBVRE7lZHU4HJNn/PvSUQ26VQkA\nABIVwS6BfOE68fGITdGmNWAp3OgTkXfkbbekiIjUi4jk5DUR7AAAQFcsxQIAACiCYAcAAKAI\nlmJxXva7dvVyBJPJZDab203tvS8mv2V87wcBAPR3/3rj370fxGw2G43Gjo6O3g815kcjej9I\nLxHsEkhKW2phw+ho0+Iz1V8eFJHJh7Z7Q3YRcWcO9tvtaele3UoEAAAJjGCXQEZ/MXb0F2M7\n92x4UETkBjn2ZceBeNcEAAD6D86xAwAAUATBDgAAQBH6LMW2trZWVlbu3r3b7/cXFBSUlZVl\nZGToUgkAAIAy9Dlit3LlyoaGhocffviJJ55wOBzLly8PhUK6VAIAAKAMHYLdyZMnt27dumjR\notzc3KFDh5aVldXX1+/Zsyf+lQAAAKhEh2B34MABs9mcm5sbaSYlJWVlZdXW1sa/EgAAAJXo\ncI6dx+NxuVwGgyHak5KS4na7o839+/e/+eab0eaPfvSj4cOHx6c2i8XS2yEMMRonwYRttl6O\nYDAYTCajrdfjiIgj6Oj9ILGSlNTbswg0TRMRu91utVpjUZFSDAZDUlKS3lUkHKPRKCIWiyXy\nAzrTNM3hcHB6zzkZjUbFnlAxeU8xGo0Gg6FzLLlgibB79bl4oufdV19fv27dumhz1qxZI0eO\n7PuiRET+t+jm+DwQcBb1PgzESkxeuJWkaVrkUwHOwrOpO0ZjbD5dJ47JJZfrXYIOev7cosOL\nQmpqqsfjCYfD0XjndrvT0tKiG0ycOPGVV16JNgcMGNDc3BzvKi+Uy+UymUz9qOC4MZlMVqvV\n6+XfZpwtcqyutbU1EAjoXUvCSU5O9ng8eleRcDRNS0pKam9vb2+Pwf/oU4zT6Wxvbw8Gg3oX\nknBSU1ODwWBLS4vehSScyMHvfvRsMhqNycnJ3d2qQ7AbOXKk3++vq6u79NJLRcTj8Rw9erSw\nsDC6gcvl6tx0u91+vz/+dV6YcDgsIrxDn1M4HGbPdBX57BUMBtk558Ru6SryqTgUCrFzugqH\nwzybusOL8DlFjnz3oz1jMpl6uFWH8zPS09OnTJny7LPPfvbZZ/X19U899VReXt5ll10W/0oA\nAABUos/5GeXl5ZWVlY888kgwGBw9evQDDzwQk5MWAQAALmb6BDuHw7FkyRJdHhoAAEBVXCoP\nAACgCC6VTyAnjCdqTWe+qNkUCH9vk0FEPvl0UCBoEJHgiBHhpKT8/GBmJl/RBAAAzkawSyAf\nWT4qTyqPNh0h++kftolIsTS7JSXa/+STrbfe2m+uygYAAHHDUiwAAIAiCHYAAACKINgBAAAo\ngmAHAACgCC6eSCA3tt94Tcc10aYhLE0HRER2eJrC4SYRCTudomkOh14FAgCAhEawSyAWsVjC\nls494VQRkeTUr/TFsyQAANCPsBQLAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAA\ngCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIjS9\nC8AZf7L+6b6k+6JNe9BaP6hDRHI9uz1hl4iEnU7RtMcea73ppg7dqgQAAImKYJdAfAZfs6H5\nTNNoNzS3iUizJLslRUSkVUTE5zPoUx8AAEhsLMUCAAAogmAHAACgCIIdAACAIgzhcFjvGpSy\nZs2axsbGe++99wLuWyu1f5O/RZtaQBauERF56f/yfUGTiMjYsZKaOn26jBoVm2qRCD788MMt\nW7bccsst2dnZeteC/uHQoUNr166dOnXqjBkz9K4F/UZFRUVmZmZJSYnehaBvcfFEjH344Yd1\ndXUXFuwKpKBACs60NZFFIiL/uyhGxSEhffrpp+vWrZs9ezbBDuepoaFh3bp1qampBDucv7ff\nfruwsJBgpzyWYgEAABRBsAMAAFAEwQ4AAEARXDwBAACgCI7YAQAAKIJgBwAAoAiCHQAAgCL4\nHruYaW1trays3L17t9/vLygoKCsry8jI0LsoxNWpU6fWrFlTXV3t8/lGjBhRUlKSn58v3c+N\nWPVDDVVVVU8//fT9998/efJkYdqgR+++++5bb73V1NQ0bNiw22677Vvf+pYwZyAiXDwRQ489\n9lhra2tpaanVal27du2hQ4eeeeYZo5FjoheRpUuXWiyWRYsW2e32tWvX7ty584UXXrDZbN3N\njVj16/17Iwaam5vLy8u9Xu/dd98dCXZMG3Snqqrq97///S9+8Yvs7OzNmzdv2LBh5cqVDoeD\nOQMRkTBiobGxsaioqK6uLtJsaWmZN2/erl279K0K8eTxeCoqKo4cORJpNjQ0zJ07d//+/d3N\njVj1x/e3RF9ZsWLFiy++eOutt27evDnc/UsK0wbhcPiOO+6oqqo6q5M5gwiWYmPjwIEDZrM5\nNzc30kxKSsrKyqqtrR03bpy+hSFuXC7XsmXLos2mpiaj0Thw4MCamppzzg2v1xuTfuaYAjZv\n3lxXV7dkyZJNmzZFerp7SWHaoKmp6cSJEyJSXl5+/PjxnJycn/70p6NGjWLOIIIjq7Hh8Xhc\nLpfBYIj2pKSkuN1uHUuCjlpaWlatWjVv3ry0tLTu5kas+uPzG6HvtLa2Pv/884sXL7bZbNFO\npg2609TUJCIbN26855571qxZU1BQ8Oijj8ZwbjBn+juCXcx0fhrgYnbs2LG77757zJgxt99+\ne6Snu7kRq370ay+++OIVV1wxfvz4s/qZNujBTTfdlJWV5XK5Fi5caDAYtm3bJswZiAjBLlZS\nU1M9Hk+405Uobrc7LS1Nx5Kgi+rq6nvvvXfu3Lk/+9nPIi+O3c2NWPXH5ddCX9m1a9eOHTsW\nLlx4Vj/TBt1JT08XEafTGWmaTKb09PT//Oc/zBlEEOxiY+TIkX6/v66uLtL0eDxHjx4tLCzU\ntyrE2d69ex9//PGlS5fOmTMn2tnd3IhVfxx/P8TeBx98cPr06bKysuLi4uLiYrfb/dRTT61Y\nsYJpg+6kp6enpaXV1NREmj6fr7GxcfDgwcwZRJgeeeQRvWtQgd1uP3z48EcffVRQUOD1elev\nXu10OouLizmgffHw+XwPPfTQ7Nmzr7jiCu+XjEajy+U659xwOBwx6WeO9WuXX375NZ1s2rSp\npKRk/vz5qampTBuck8FgCAaDb7755ogRIzRNe+mllxoaGkpLS3mpQQTfYxczXq+3srJy586d\nwWBw9OjRZWVlHLu+qFRXVz/44INndZaWll533XXdzY1Y9UMZt91225133hn5HjumDboTCoVe\nffXVjRs3tra2FhQU3HnnncOHDxfmDESEYAcAAKAMzrEDAABQBMEOAABAEQQ7AAAARRDsAAAA\nFEGwAwAAUATBDgAAQBEEOwAAAEUQ7ABcFCZPnjxq1KjEGQcA+oKmdwEAEA8333xzW1tb5Odd\nu3ZNmDDhPL+e/ayNO48DAImGYAfgorBkyZLozx9//PH53/GsjTuPAwCJhqVYAEr54IMPZsyY\n4XK5hgwZ8uMf//jgwYOR/ugS6uzZs8vLy0XEYDBMnDgxcuvrr78+adIkh8ORnJw8ceLE119/\nPdLfdeOzlmLfe++96dOnu1wuu90+ZsyYJ598Mnpsb/r06dOmTdu5c+fMmTOTk5MzMjIWLFjQ\n0NAQufX48eN33HFHTk6OzWYbMmTIjTfeWFNTE4f9A0BtBDsA6vjggw+uvvpqm832/PPPV1RU\nbN++ffr06SdOnOi8zapVq66//noR2bp16yuvvCIif/jDHxYsWJCVlfXGG2+89tprgwYNWrBg\nwYYNG865cWdvv/32dddd53Q6X3311fXr11999dW//OUv77333sitFovl8OHDpaWly5YtO3jw\n4HPPPffGG2/cc889kVtvuOGG9evXP/TQQ++9996TTz554MCBGTNmeL3ePt5DAFQXBgBVTJw4\nMTc31+/3R5r/+Mc/LBbL008/HQ6Hv/3tbxcUFET6f/KTn3R+9auoqLjqqqs6OjoiTbfbrWla\ncXHxOTfuPM6oUaOys7OjdwyHw/PmzTObzSdPngyHwzNnzhSRTz75JHrrzJkzhw4dGnkIEbnv\nvvuiNx08eLCioqK+vj5WuwLAxYkjdgAU0dTUtG3btmuuuUbT/nv28KRJkzo6OiJrqT1YtmxZ\nVVWVxWKJNJOTk4cMGXLkyJGe7/X555/X1NRce+210TuKyNy5c/1+/5YtWyJNh8MxderU6K1Z\nWVmRw4d2u33AgAGvvfZaVVVVKBQSkby8vGXLlg0dOvSb/c4A8FUEOwCKOH78uIhkZGR80zt6\nPJ6HHnpo7NixKSkpmqZpmnbs2LFI3upBfX29iAwbNqxzZ2Zmpoh8/vnnkeagQYM636ppWmRY\ns9n85z//2Wg0zpo1KyMj44c//OHatWsDgcA3rRwAzkKwA6AIo9EoIl8byLqaO3duRUVFUVHR\n+vXrd+7cuWvXrvM5cmYwGLo+XDgcjlbSs6lTpx44cKCqqqqkpGTfvn3FxcVTpkzhi1QA9BLB\nDoAihg8fLiJHjx7t3Hn48OHGxsYe7nXw4MG///3vCxcu/M1vfjNt2rSxY8eOGjXq1KlTX/tw\nWVlZ8uVxu6hIM3LT1zKZTFddddUTTzzx6aefrl69etu2bX/84x9/nL5XAAAB+ElEQVTP544A\n0B2CHQBFuFyusWPHrl+/vqWlJdJTU1NzySWXrF69+qwtIwfbIkuffr9fvhrFnnvuufb29mAw\n2HXjzoYMGTJmzJj169e3t7dHO9etW+dwOKZMmdJzqdu3b7/55pujX30iIj/4wQ9EpOcMCgBf\niy8oBqCOFStWFBUVff/737/rrrtaW1t/97vfZWRklJaWnrVZZKW1oqJi9OjRRUVFw4cPr6ys\nHD9+/IABA956663t27d/97vf3b59+0cffTRp0qTOG994442dx3n88cfnzp17/fXXL1682GKx\nvPPOO++///6KFSuSk5N7rnPYsGHvvvvuvn377rrrruzs7KampmeeeSY5OXn+/Pkx3R8ALj56\nX5YLALG0YcOGyZMnOxyOjIyM+fPn79+/P9Lf+WtKjh49OmHCBLPZHOnZunXrlClTHA7H4MGD\nS0tL3W73X/7yl4EDB6alpdXW1p61cedxwuHwX//61+985ztOp9NqtU6YMGHNmjXRm2bOnJmT\nk9O5ts7fnFJdXT1//vyMjAyz2Tx06ND58+fv2LGjD/cLgIuDIXx+/y0RAAAACY5z7AAAABRB\nsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAA\nUATBDgAAQBH/D/a/DpiIbWVLAAAAAElFTkSuQmCC",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oGsVSpriUhNk",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 856
        },
        "outputId": "78cd3842-36b2-427d-c226-9bd3c3365085"
      },
      "source": [
        "aage<-c(1:62)\n",
        "cage<-c(1:62)\n",
        "for (i in c(1:62)){\n",
        "aage[i]=length(filter(df, ((lettergroup == \"A Only\"|lettergroup == \"A and B\")&(role==\"professor\")&(age > i)))$age)\n",
        "cage[i]=length(filter(df, ((lettergroup == \"C Only\"|lettergroup == \"B and C\")&(role==\"professor\")&(age > i)))$age)\n",
        "}\n",
        "plot(aage)\n",
        "plot(cage)\n"
      ],
      "execution_count": 64,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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EBIAAQQEgABhOTULr3Zvk7UFw6fTQxOASE5s62FKwya3NW3kVs/zVEfEJITu+j/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\nSCvrvqULfpWf23t1w5x1F+Wde5cs3C3vvLJhznfKzvgli/bIOy9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            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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LhMuCHN8ohKLdvfUCVGvC7rxV/4xzo7QoLLhP9U86YJgTvAa8+Q8o2lqqYiJLiM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\nBChASIAChAQo8P8/7Is2wfCVBwAAAABJRU5ErkJggg==",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mSZYliFqUwmQ",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}