6_Visualizing_with_GGPLOT2.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyNQfijfB4HG9BCkQyeecYWq",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    },
    "language_info": {
      "name": "R"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/jayarnim/BasicSyntax-R/blob/main/6_Visualizing_with_GGPLOT2.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"ggplot2\")\n",
        "library(ggplot2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6xyh1KPotQLf",
        "outputId": "eb22f841-e2eb-4f6a-9e99-c0d63ef52166"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "cDioRqtWC6GH",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "outputId": "1f623b2c-8901-4e1f-af7b-9beb4fbe5fa7"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A data.frame: 6 × 5</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>student_id</th><th scope=col>gender</th><th scope=col>midterm</th><th scope=col>final</th><th scope=col>highlow</th></tr>\n",
              "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>1</th><td>1</td><td>M</td><td>62</td><td>63</td><td>low </td></tr>\n",
              "\t<tr><th scope=row>2</th><td>2</td><td>F</td><td>60</td><td>53</td><td>low </td></tr>\n",
              "\t<tr><th scope=row>3</th><td>3</td><td>M</td><td>60</td><td>62</td><td>low </td></tr>\n",
              "\t<tr><th scope=row>4</th><td>4</td><td>M</td><td>30</td><td>26</td><td>low </td></tr>\n",
              "\t<tr><th scope=row>5</th><td>5</td><td>F</td><td>80</td><td>91</td><td>high</td></tr>\n",
              "\t<tr><th scope=row>6</th><td>6</td><td>F</td><td>33</td><td>29</td><td>low </td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA data.frame: 6 × 5\n\n| <!--/--> | student_id &lt;int&gt; | gender &lt;chr&gt; | midterm &lt;int&gt; | final &lt;int&gt; | highlow &lt;chr&gt; |\n|---|---|---|---|---|---|\n| 1 | 1 | M | 62 | 63 | low  |\n| 2 | 2 | F | 60 | 53 | low  |\n| 3 | 3 | M | 60 | 62 | low  |\n| 4 | 4 | M | 30 | 26 | low  |\n| 5 | 5 | F | 80 | 91 | high |\n| 6 | 6 | F | 33 | 29 | low  |\n\n",
            "text/latex": "A data.frame: 6 × 5\n\\begin{tabular}{r|lllll}\n  & student\\_id & gender & midterm & final & highlow\\\\\n  & <int> & <chr> & <int> & <int> & <chr>\\\\\n\\hline\n\t1 & 1 & M & 62 & 63 & low \\\\\n\t2 & 2 & F & 60 & 53 & low \\\\\n\t3 & 3 & M & 60 & 62 & low \\\\\n\t4 & 4 & M & 30 & 26 & low \\\\\n\t5 & 5 & F & 80 & 91 & high\\\\\n\t6 & 6 & F & 33 & 29 & low \\\\\n\\end{tabular}\n",
            "text/plain": [
              "  student_id gender midterm final highlow\n",
              "1 1          M      62      63    low    \n",
              "2 2          F      60      53    low    \n",
              "3 3          M      60      62    low    \n",
              "4 4          M      30      26    low    \n",
              "5 5          F      80      91    high   \n",
              "6 6          F      33      29    low    "
            ]
          },
          "metadata": {}
        }
      ],
      "source": [
        "mydata <- read.csv(\"data/examscore.csv\", header = TRUE)\n",
        "mydata$highlow <- ifelse(mydata$midterm + mydata$final < 150, \"low\", \"high\")\n",
        "\n",
        "head(mydata)"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 1. 테마\n",
        "\n",
        "<p align=\"center\"><img alt=\"테마\" src=\"https://github.com/jayarnim/jayarnim/assets/116495744/90bcf585-2138-4b60-bb6f-54bedbaec9c0\" width=100%></p>"
      ],
      "metadata": {
        "id": "SPu6MdBJxNY3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "p <- ggplot(data = mydata) +\n",
        "  # 그래프 테마 설정\n",
        "  theme_bw()\n",
        "\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "hcFXoeV8tmLu",
        "outputId": "3573eda1-5d56-4ffb-8289-c912faf016a4"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAADFBMVEVOTk5lZWX6+vr////g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\nCAkCQoKAkCAgJAgICQIniEwhwWhWWDYAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 2. 그래프"
      ],
      "metadata": {
        "id": "nFQxO-L7xr0u"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 산점도 함수를 통해 산점도 그리기\n",
        "# aes(aesthetic); x축, y축 속성값 설정\n",
        "mygraph <- geom_point(\n",
        "    aes(\n",
        "        x = midterm,\n",
        "        y = final\n",
        "        )\n",
        "    )\n",
        "\n",
        "p <- p + mygraph\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "BSwJqLBWt_mG",
        "outputId": "a974f1dc-115c-4cce-dd7f-97833bc01ad1"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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BGQ1ICkByQ9IKkBSQ9I5oDkMyBZBCQ1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\nHAQkIgcBichBQCJyEJCIHPS/l+RDjpYxJPkAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 3. 범례"
      ],
      "metadata": {
        "id": "lgL3Laae0pMP"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "mylabel <- labs(\n",
        "    title = \"Student grade distribution chart\",\n",
        "    subtitle = \"Mid vs Fin Score\",\n",
        "    x = \"Mid\",\n",
        "    y = \"Fin\",\n",
        "    caption = \"https://statisticaplaybook.tistory.com/18\"\n",
        "    )\n",
        "\n",
        "p <- p + mylabel\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "uuduKAYfuPqE",
        "outputId": "6c23901f-7fbb-469c-a39b-102cdaabbb42"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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wEpRkBSA5IekPSApAYkPSBFBySbASlGQFIDkh6Q9ICkBiQ9IEUHJJsBKUZAUgOS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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 4. aes\n",
        "\n",
        "- 데이터 속성과 그래프 속성(색상, 크기, 모양, 투명도 등)을 mapping 하는 함수"
      ],
      "metadata": {
        "id": "RLDhDzUX0wR7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "myaes <- aes(\n",
        "    # 성별 색상 다르게 설정\n",
        "    color = gender,\n",
        "    # 성적별 모양 다르게 설정\n",
        "    shape = highlow,\n",
        "    # 처음 15개는 2.5, 나머지는 5로 크기 설정\n",
        "    size = rep(c(2.5, 5), each = 15),\n",
        "    # 전체 투명도 0.8\n",
        "    alpha = 0.8\n",
        "    )\n",
        "\n",
        "p <- p + myaes\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "PZbBTsqI1B25",
        "outputId": "79266044-a8c6-4b30-801e-c53f47d23ddf"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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paQ8AAIgh0AeISCka7QCsQ7oIzjHjsAcHclprp7qAlAlQh2AODW7jarke2Asoxg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tqUaE7eNSbFvEBVkAACSJYCcFi6+b4Kdp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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# alpha, size 의 경우 aes 에 설정한 사항을 확정하는 절차가 필요함\n",
        "p <- p +\n",
        "  scale_alpha_identity() +\n",
        "  scale_size_identity()\n",
        "\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "zwnYFoHn7Xpq",
        "outputId": "1cb8948f-d4d8-417e-c95a-1351565b820c"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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HYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4A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\nDgAAQBD/D5E4Bnq8C4TPAAAAAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 5. scale"
      ],
      "metadata": {
        "id": "o4c4zfOh4Spu"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## color"
      ],
      "metadata": {
        "id": "7gT0YCxYx1NR"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 설정한 속성을 조정하고 싶을 경우\n",
        "# scale(조정할 것임) + color(속성을) + manual(수동으로)\n",
        "colorScaling <- scale_color_manual(\n",
        "    values = c(\"red\", \"blue\"),\n",
        "    labels = c(\"F\", \"M\")\n",
        "    )\n",
        "\n",
        "p <- p + colorScaling\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "aXlxyGGj1zG2",
        "outputId": "35fdbbbc-6c96-41ef-aa59-46b3bfba852f"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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RVCxMfHDxs2bPTo0bfeeuuJEye2bt1q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\nACAJgh0AAIAk/h8buaZ4LQhuywAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "- brewer palette 를 활용한 색상 조정\n",
        "\n",
        "    <p align=\"center\"><img alt=\"palette\" src=\"https://github.com/jayarnim/jayarnim/assets/116495744/caacb16c-b6b2-4206-ae47-1b53f743de0d\" width=100%></p>"
      ],
      "metadata": {
        "id": "H3ZHWSoO201T"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# scale(조정할 것임) + color(속성을) + brewer(brewer palette 로)\n",
        "colorScaling <- scale_color_brewer(\n",
        "    palette = \"Set1\",\n",
        "    labels = c(\"F\", \"M\")\n",
        "    )\n",
        "\n",
        "p <- p + colorScaling\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 473
        },
        "id": "DaGEeGgN3OSe",
        "outputId": "8b914d38-7e3c-4a3b-b644-a8e1825c64ea"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\u001b[1m\u001b[22mScale for \u001b[32mcolour\u001b[39m is already present.\n",
            "Adding another scale for \u001b[32mcolour\u001b[39m, which will replace the existing scale.\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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VRUVCSEiI+PHzJkyMiRI++9996zZ89u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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## shape"
      ],
      "metadata": {
        "id": "U7eWrPmNW6tX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 범례 key label 변경\n",
        "# scale(조정할 것임) + shape(속성을) + discrete(추상 도형으로)\n",
        "shapeScaling <- scale_shape_discrete(\n",
        "    labels = c(\"high\", \"low\")\n",
        "    )\n",
        "\n",
        "p <- p + shapeScaling\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "22Wb6ft_XLhW",
        "outputId": "7e4bacac-d0e3-4274-c809-f674a96f5cf4"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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VRUVCSEiI+PHzJkyMiRI++9996zZ89u\n27ZNr9cvWbJEXseeA6PCrU+YMGHHjh07d+7s2rXrkCFDvL29v/3223379t13333Lli2zp9Sy\nTJgwYfv27UlJSW3bth0yZEheXl5iYmJOTs66devkb9Taw57jodQXVm3YAQAudvdumVdtn3/+\n+fjx41u0aGEwGLRabWBgYIcOHZ566qnTp08XW3PZsmUhISF6vb5Lly5yy5kzZ/r37280Gv39\n/Xv27JmYmChPRPXr10951dmzZ0eMGFGrVi1fX9/27duvW7dOnq7o2bOnso7FYlm3bp38K1s6\nna5Ro0YTJ048e/assoJ8z9jly5fb1vPrr78KITp27FhOhSWdPHkyNjY2ICAgMDAwOjp6//79\n8n37lJpL3VZ+fv4LL7zQvHlzvV4fFhY2ffr0jIwMSZImT57s5+dXv359ebgcsrOlqrDnYjf4\ntVgs77zzTu/evUNCQry8vIKCgvr27bt+/Xqr1VrWcJW648W6le+lt23btgMHDkRFRfn7+/v5\n+UVHRx85csT2VfYcGMW2XmxDkiSZzeZVq1Z16dLFaDTq9frw8PB58+ZlZmYqK9h5VJRkNpvf\neOONDh06GAwGPz+/qKio/fv3V6pbe46HUvspueMAAPenkey+Bwdc7ttvv42IiBg6dGhSUpKr\nawEAAG7HM66xq4GuX7++e/fuYt9COHnypBCiwhu8AQCAmolg56b27t07dOjQJ5980mw2yy1Z\nWVlvvPGGEGLYsGEuLQ0AALgpTsW6qcLCwgEDBnz11Vdt27aNi4u7c+fOzp07r1y5MnLkyB07\ndri6OgAA4I4Idu4rJydn5cqVn3zyyaVLlywWS6tWrcaPHz9z5kydzjO+ywwAAO4ygh0AAIBK\ncI0dAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCc8I\ndgsXLtRoNKGhocoPp9r6y1/+otFo+vTpIy9GRESEh4eX1dXYsWP9/f2dVeifpZZq2bJlFZZX\nvoyMjKVLl3bt2jUkJMTb2zs0NHTw4MGff/65Q/cAAAB4Ko/5cSqtVnvr1q3PPvvswQcftG3P\nz8/ftm2bt7e30jJ27Nj8/Py7XuD/MWvWrKZNmxZr7N27t6hGebdu3erevfuNGzeeeOKJv/71\nr15eXhcuXFi/fn1cXNwHH3wwduzY6pcNAAA8micFux49emzYsKFYsPv000/z8/M7duyotMyc\nOfOuV1fcI488EhERUepTVS5v06ZNKSkpH3/88ZgxY5TG6dOnt2/ffu7cuaNHj9ZqPWP+FQAA\nOInHRIGioqJhw4bt3r37+vXrtu2bNm26//779Xq90mJ7rlOSpMWLF4eFhfn6+rZv33779u1l\n9d+nT5+QkJCioiLbxoiIiIYNG1oslqtXr06ZMqVJkya+vr7169d/+OGHz507V7UdsS0vKiqq\nb9++J0+eHDBgQGBgYGho6KOPPnrjxo1SX3j16lUhRNeuXW0ba9eufezYsbNnzyqpbu/evdHR\n0QEBAfXr1x89evRvv/2mrLxnz56oqKiAgACDwdCuXbs333xT+aXgPn36REVFJSUlhYWFyTOL\nQohDhw7FxsYGBgYajcYuXbqsX7++arsMAADuDo8JdkKIUaNGWa3WLVu2KC2pqalffvnl2LFj\nLRZLqS9Zvnz5ggULoqOjk5KSXnzxxUWLFp06darUNceNG3fz5s0DBw4oLX/88cd333336KOP\nenl5PfTQQ0lJSS+99NKePXvefPPNX3/9NTo6+s6dO9XcIx8fn0uXLiUkJMybN++333577733\ntm3b9vzzz5e6cpcuXYQQzz///O3bt23bGzVqZDAY5Md79+4dNGiQr6/v6tWrly5d+v3330dF\nRV27dk0IkZiYOHToUD8/vy1btiQlJQ0aNGjWrFlz5syRX6jX67OysmbPnj1v3rwXXnhBCLFv\n374BAwYUFhZ++OGHO3fu7NmzZ3x8/BtvvFHNXQYAAE4keYIFCxYIIfLz82NiYtq2bau0L1u2\nzGAwZGdn9+zZMzIyUm7s2bNnq1atJEmyWq0NGzZs166dsn5aWpq3t7efn1/JTaSnp+t0uqlT\npyoty5cvF0KcPHkyKytLCDF37lzlqd9++23p0qWpqalllXr06NGy9kUpT5KkAQMGCCG++uor\n5dkBAwY0bNiw1BdaLJbRo0cLIfR6fVxc3GuvvXbs2DGLxWK7Trdu3Zo1a2Y2m+XFb7/91sfH\n56233pIkKTw8vHHjxgUFBcrKDz74oLe3d0ZGhlLJjh07lGc7d+7cokWLvLw8peWBBx4ICAjI\nz88va9cAAIBredKMnRBi8uTJP/300/Hjx+XFTZs2PfjggwEBAaWufPny5bS0tP79+ystDRo0\n6NatW6krh4SExMbGJiYmWq1WueWTTz5p27Ztp06dDAZDnTp1Pvroo3379snPNm/efN68eQ0b\nNiyrzvT09CslFBQUlFzTaDRGRkYqi40aNZIn2ErSarVbt25NTk5++OGHT506NWfOnIiIiHr1\n6s2bN0+eO7x58+aJEyeGDBmi0/3n0skePXoUFBQ888wzaWlp586di4uL8/HxUTocPny42Ww+\nduyYvOjj4zNs2DD58Y0bN06ePDl06FCtVmv6U1xcXE5OzpkzZ8raawAA4FoeFuxGjhwZEBCw\nYcMGIcTx48fPnj07ceLEslaWE1LdunVtG8tJY+PGjbtx48bhw4eFECkpKcePH58wYYIQwtvb\ne+fOnVqtNiYmJjQ09JFHHvnwww+LXY1XzAMPPBBWwtGjR0uuWaw8nU6nJMtSDRo06IMPPkhN\nTb1w4cK6detat269bNmymJgYq9UqX4QXGhpa8lWpqalCiHvuuce2sUGDBkKItLQ0eVG+hYr8\nWG586623DDamTZsmhLhy5Uo55QEAABfymG/FyoxG46hRoz766KM333xz06ZNDRo0iI2NLWtl\n6c9vBtgq62o8IcSDDz5oNBq3b9/er1+/Tz75RKPRjBs3Tn4qMjLy119/PXTo0J49e3bv3j1+\n/PiVK1cePnxYubitmBUrVrRq1apYY/v27SveQ7vde++99957b3x8/F/+8pf169d/9dVXISEh\nQohSc6FGoyn5lDw+yrcubG8ZI3viiSemTJlSrLFFixYO2gMAAOBgHhbshBCTJk1av379F198\nsXXr1kmTJnl5eZW1pjwZVuzMZkpKSlnr+/v7Dx8+/NNPP/3HP/6xbdu26OjosLAw5VkvL6/+\n/fv3799/+fLl77333vTp0z/55JNJkyaV2lVkZGRZtzupmoKCgu3bt/v5+RW724tGo4mOjl6/\nfv3ly5c7d+4shLh8+bLtCpcuXTIajY0aNRJ/ztsp5EX5qWIaN24shLBYLI7dCwAA4FQedipW\nCNG3b99777335ZdfzsjIKOc8rBCiadOmISEhycnJykzVL7/88sMPP5TzknHjxqWlpSUmJp44\ncUI+DyuE+P7778eOHWt7F5KBAwcKIdLT06u7M3bz8fFZtGjR1KlTL168aNtusVi2bdsmhOjQ\noUNAQED79u2TkpJycnLkZ8+dO9e0adN33323fv367dq1S0pKMplMymt37NhhNBp79epVcnPB\nwcE9evRITEy0/Qbu5s2b58+fX/45aAAA4EKeN2On0WgmTpy4cOHCjh07dujQoZw1tVrtk08+\n+fLLL48aNWr8+PE3btxYtmxZly5dyrkF3ZAhQ4KDg2fNmuXr6/vII4/Ijffcc8/u3bvPnj37\n7LPPNm7c+ObNm3//+98DAwNHjhzp4H0rm0ajWbt27fDhwzt16jR27Nh27dr5+fmlpaVt3779\n9OnTTz/9tHye99VXX33ggQdiY2OfffbZ3NzcFStWhIaGJiQkCCFee+214cOHjxgx4qmnnvLx\n8dm1a1dycvKrr74aGBhY6hZff/312NjY6OjoWbNm1a9f/8iRI6+99tr48eOVb2YAAAC34+qv\n5dpFud2JvHjx4kWNRvPGG28oK5R6uxNJkoqKiubOnVu/fn0fH5/27dt/+umnM2bM8PHxKWdb\nU6dOFUKMGjXKtvGHH34YOXJkaGiot7d3w4YNR44c+e9//7ucUu2/3UmTJk1sn42Pjy/nTfnp\np5+eeOKJ5s2b6/V6nU5Xr169IUOGbN++3Xadzz77LCIiwmg0hoaGjhw58pdfflGe+uKLL/r0\n6ePn56fX6zt37rx+/XrlqZKVSJJ05MiR2NjYgIAAb2/v++677/XXX1dupAIAANyQRirtGwYA\nAADwOJ53jR0AAABKRbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4A\nAEAlCHYAAAAqQbADAABQCYIdAACASuhcXUDFzp49m5OT44yerVarRqPRaDTO6NwTWa1Wq9Xq\n5eXFmCgsFotWq2VAFBaLRZIknc4D/nTcNUVFRQyIraKiIiEEY2KLg6SYoqIijUbj5eUlhOjS\npQuD40AaSZJcXUMFEhIS6tSp4+/v7/CebQ8sCCHMZrPFYvHx8dFqmcr9j8LCQp1Ox4AoCgsL\nrVarr6+vqwtxIwUFBXq93tVVuJGCggIhBGNii4OkGJPJpNVqfXx8vvzyy8TExMDAQFdXpB6e\nkZGffPLJsLAwh3ebl5en0+n4x6bIzc01mUy1atXiP0+K7Oxso9HIgCiysrLMZnOdOnWYxVRk\nZmbWqlWLAVFkZmZKkhQcHOzqQtzIrVu3GBBbGRkZ3t7eQUFBZ86ccXUtasM8BAAAgEoQ7AAA\nAFSCYAcAAKASBDsAAACVINgBAACoBMEOAABAJQh2AAAAKkGwAwAAUAmCHQAAgEoQ7AAAAFSC\nYAcAAKASBDsAAACVINgBAACoBMEOAABAJQh2AAAAKkGwAwAAUAmCHQAAgEoQ7AAAAFSCYAcA\nAKASBDsAAACV0Lm6AAAA7p70wXG2i3WTd7uqEsAZCHYAgBqhWKQr1kjCgzpwKhYAoH6lprpK\nrQB4BIIdAEDl7AxtZDuoAMEOAKBmlYprZDt4OoIdAEC1CGqoaQh2AAD8F1kQHo1gBwAAoBIE\nOwCAOjH3hhqIYAcAAKASBDsAAACVINgBANSJH5NADUSwAwAAUAmCHQAAgEoQ7AAAqlWFs7Gc\nwIVHI9gBAPAfpDp4OoIdAEDN7M9qpDqoAMEOAKBydZN3VxjaSHVQB52rCwAA4G6Qo1vJn6Mg\n0kFNCHYAgBqEGAd141QsAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4AUOOkD44r\ned8TQAW43QkAoEYomeSUFu6BAtVgxg4AoH7lz88xgQfVINgBAFTOztBGtoMKEOwAAGpWqbhG\ntoOnI9gBAFSLoIaahmAHAMB/kQXh0Qh2AAAAKkGwAwAAUAmCHQBAnTipihqIYAcAAKASBDsA\ngDrxexKogQh2AAAAKkGwAwAAUAmCHQBAtapwNpYTuPBoBDsAAP6DVAdPR7ADAKgZWQ01is7V\nBQAA3E6xO8B5ejaqm7y7wnvaefo+OonKjoSagGAHAPivUgOQ0ui5n+ty5WXFO8/dL+cp50hg\nuNwZwQ4A8B8VTmulD47z6A91jy7+rrHnMBAMprviGjsAgBB2/wAXv9Olbva/vxwJ7olgBwCo\n3Ic0n+hqxTurApyKBYCazlEf53I/FotFkqR0nU5wtk7tPP3UvCoxYwcAqLSSWbD8b10AuDsI\ndgCA6ionwJHtPEXV3ineX3dDsAOAGo0PZkBNCHYAAAAqQbADAABQCYIdAACAShDsAKBGc8jt\nKsrphNthqBvvr7sh2AEAKq3kx3mpH/B86nsQ3ix14AbFAFDT1U3e7ZDvxsrJ4FrsIEFKAFyE\nYAcAqJzyQ5v+k48lSbprxcCBKhvxie9uiFOxAIBKfELzWa5uHAmezgNm7KxWa0FBgclkcnjP\n8g8a8j9LhcViEUIUFhYWFRW5uhZ3IR9+DIjCarUKIUwmk0ajcXUt7kKSJHUMSEDijqwHHix/\nnaBdiRX+NZb/rjrjj7bn8qwBcdSRUD6r1WoymfgUdjgPCHbizz8TTuqWQ0ohDwVjYksZE1cX\n4l4YkGJUMyCBOz8VQmSPGFnWU/bvqWrGxFE8a0AceCSUg48bZ/CAYKfVan19fZUmsnEAACAA\nSURBVA0Gg8N7tlqtOp1Or9c7vGcPZbFYioqK9Hq9TucBB8bdYTabGRBbhYWFFovFYDCoYILK\nUUwmk8oGxPBFcnVeLk/kOOOPtufKz8/3xAGp5pFQjry8PK1WazAYtFqtmv7tuAOusQMAAFAJ\ngh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0A\nAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBK\nEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqITO1QUAAKBa6YPjhBBFRUXpOp0Qom7ybldXBJUj\n2AEA4HhypCu1kXgH5yHYAQDgSKVGupIrEO/gDFxjBwCAw1SY6qqwJmA/gh0AAI5BVoPLcSoW\nAIAKTF5ztFjLxoRe1e82fXAcJ2ThWMzYAQBQnpKprqxGwOUIdgAAVEWxbFe187CcvYVjEewA\nACgTM3PwLAQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAlKmc25o45I4n3O4EjkWwAwCgPHYGOCIa\n3AE3KAYAoAJytpO/IeuQiTrASQh2AADYpcJIVzd5d6XuS8ckHxyOU7EAADiM/VmNVAdnYMYO\nANxFyckePvs9kT3zdryzcBKCHQC4Xlk5QG4nBHgc+S0r9W3l3YRTEewAwMUqnN1JHxxHGvBE\nyrt269at4OBg1xaDGoJr7ADAley81p6figdgD4IdALhMpeIa2Q5AhQh2AOAaVQhqZDsA5SPY\nAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAYBr\nVOHnX/nFWADlI9gBgMtUKqiR6gBUiGAHAK5kZ1wj1QGwh87VBQBATVc3eXf64LiiX38r9Vld\nyxakOgB2YsYOANyCrmULOxsBoCzM2AGAK6UPjlMelxXj5HWYtwNQIWbsAMAz2EZAACgVwQ4A\nXIasBsCxCHYA4BpVSHUEQQDlI9gBAACoBMEOAABAJQh2AAAAKkGwAwAAUAmCHQAAgEoQ7AAA\nAFSCYAcAAKAS/KQYALhG3eTdxe5Ll5KeV2ydpnX9ir3E6WUB8GTM2AGAWyiZ6spqBICyEOwA\nwGWUGbhyApzyFNN1ACpEsAMAV7IzrpHqANiDYAcALlZhaCPVAbATX54AANd7Z+oy+cFTa+eW\nbNx49wsC4JkIdgDgRpQwBwBVwKlYAHC9jQm9qvAUABTj3Bm7K1eubNiw4fz580VFRc2aNZsw\nYUKbNm2EELm5uWvXrj19+rTZbG7VqtW0adNCQ0OdWgkAuLmNCb0mrzlastElxQDwUE6csZMk\nafHixbVr1167du2mTZvatWu3cOHCnJwcIcSqVatu3LixYMGC5cuXG43GxYsXW61W51UCAB5h\nY0IvJcnZPgYAOzkx2GVnZ1+7di0mJsZoNOr1+ri4OJPJdPXq1YyMjOPHj0+dOrVZs2YNGzac\nNm1aamrqmTNnnFcJAHgQIh2AKnNisAsKCgoPD09OTs7JyTGZTMnJyfXq1WvatOmvv/7q7e3d\nrFkzeTV/f/9GjRqdP3/eeZUAAADUBM69xm7u3LkvvfTS+PHjhRC1a9d+6aWXfHx8srOzAwIC\nNBqNslpQUFBWVpayeOzYsVdffVVZ9PPzy8rK8vf3d3h5kiQVFBTcuXPH4T17KPmEeHZ2tu27\nU8NZrVYGxJbFYhFC3L5929WFuBGr1cqA2LJarZIkZWZmuroQN8KAlFRUVJSZmWmxWCRJcnUt\nquLEYFdUVLR48eLw8PAlS5Z4e3vv3r17wYIFb7/9thCi/I/JoqIi+VI8mcFgkCTJGRfhSZKk\n0Wg4pBTyUEiSxJgolDFxdSHuhYtibTnpD5SnY0xscZCUxJg4iROD3ZkzZ37//fdly5b5+voK\nIR555JE9e/Z89dVXoaGh2dnZcqiS18zKyqpdu7bywj59+uzfv19ZTEhIqFWrVp06dRxeYV5e\nnk6n0+v1Du/ZQ+Xm5ppMpqCgIJ2OGxz+R3Z2ttFoZEAUWVlZZrM5ODiYWUxFZmZmrVq1GBBF\nZmamJEnBwcGuLsSN3Lp1iwGxlZGR4e3tHRQU5OXlxb8dx3Lut2KL5fGioiIhRMuWLc1m84UL\nF+TG7Ozsy5cvt27d2nmVAAAA1ARODHbh4eG1a9dev359bm5uYWHhjh078vLyunXrFhwc3KtX\nr3feeef3339PTU1duXJl8+bN5fvbAQDSB8elD45zdRUAPJITTzDJN6jbtGnTtGnTLBZL48aN\nFyxY0KBBAyHEM888s3bt2oULF1oslrZt286fP5+ZWACwzXPy47rJu11XDgDP49wrh5o0afLS\nSy+VbDcajTNnznTqpgHAs5Q6S5c+OI5sB8B+/FYsALheOedeOS0LwH4EOwAAAJUg2AEAAKgE\nwQ4AAEAlCHYAAAAqQbADANcr56uvfCsWgP0IdgDgFkoNcKQ6AJXCL2ACgLsgxgGoJmbsAAAA\nVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJg\nBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAA\noBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIE\nOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAA\nAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg\n2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEA\nAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgE\nwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4A\nAEAldK4uoGJWq7WgoMBkMjm8Z4vFIkmSJEkO79lDWSwWIURhYWFRUZGra3EX8uHHgCisVqsQ\nwmQyaTQaV9fiLiRJYkBsyX9XnfFH23MxICVZrVaTycSnsMN5QLATf/6ZcFK3HFIKeSgYE1vK\nmLi6EPfCgBTDgJTEmBTDgJTEx40zeECw02q1vr6+BoPB4T1brVadTqfX6x3es4eyWCxFRUV6\nvV6n84AD4+4wm80MiK3CwkKLxWIwGJigUphMJgbEljw15Yw/2p4rPz+fAbGVl5en1WoNBoNW\nq3XGv52YmJjffvstJSWl1GcjIiJu37597ty5avbTp0+fjIwMe/q5m/i4AgAANcjYsWPz8/Nd\nXYWzEOwAAEANMnPmTFeX4ER8KxYAAKiNTqf7/fffhwwZEhAQEBAQMGbMmFu3bslPRUREhIeH\ny4+tVuvChQvDwsJ8fX27du26d+/ep59+2sfHx55+itmzZ09UVFRAQIDBYGjXrt2bb74pX0F4\nzz33PPTQQ8pq77//vkajmTJlitLy9ttvazSaCxcuOGTHCXYAAEBtLBbLyJEjo6KitmzZMm3a\ntG3bts2aNavkasuWLVu0aFHv3r137do1ffr0SZMmfffdd7bBzs5+EhMThw4d6ufnt2XLlqSk\npEGDBs2aNWvOnDlCiNjY2CNHjihfEzlw4EBISMihQ4eU1x48eLB58+bNmzd3yI5zKhYAAKhN\nSkrKjh07Ro4cKYQYMWLEN998s3v37mLrSJL097//vV27dh9//LH8HY527dpFRET4+flVqh8h\nxLx588LCwnbu3CmHwgEDBly8eHHVqlVz5swZOHDgpk2bzp4926ZNGyHEgQMH4uPjX3vttbS0\ntIYNG0qSdPjw4dGjRztqx5mxAwAAauPr6/vggw8qiy1atMjIyCi2zrVr165fvx4bG6t8M7dn\nz57t2rWrbD9paWnnzp2Li4uzneobPny42Ww+duxYTEyMRqM5fPiwECIlJSUlJWXSpEnKpN2P\nP/6YkZExaNAgB+yzEIJgBwAA1KdevXq2N1Lx9vaW769u6/r160KIBg0a2Da2atWqsv2kpqYK\nIe655x7bRrnbtLS00NDQjh07HjlyRAhx4MCB0NDQ1q1b9+nT5+DBg0KIgwcPent733///VXb\nzZIIdgAAoCYqKCgQQmi1/ycLVeG+evJLigU++aI6ufPY2Fh5xu7AgQPR0dFCiKioKHnG7uDB\ng5GRkQEBAVXei2IIdgAAoCYKDg4Wf87bKc6fP1/Zfho1aiT+nLdTyIvyUwMHDrxy5crvv/9+\n4MCBfv36CSH69u17/vz5q1evHj582IHnYQXBDgAA1EzNmjULCgras2eP0nL8+PEzZ85Utp/6\n9eu3a9cuKSnJ9heBd+zYYTQae/XqJYTo27evwWD45z//eeXKFXnGrnPnzgEBAWvWrHHsBXaC\nYAcAAGomnU4XHx//448/Pv7441988cXatWtHjx4dGRlZha5ee+21a9eujRgxYteuXcnJydOn\nT09OTn7xxRcDAwOFEHq9vm/fvmvWrKlbt27btm2FEF5eXr169Xr33XdDQ0M7derkwJ0i2AEA\ngBpq6dKlTz/9dFJS0kMPPbRly5atW7c2adKkCpfZxcXFJScn37lzZ9y4cQ8++OCxY8fWr18/\nd+5cZYWBAwdmZGTI03WyqKio9PT0gQMHOvbXcjXKHfPcVkJCwvz588PCwhzec15enk6n0+v1\nDu/ZQ+Xm5ppMplq1avGb94rs7Gyj0ciAKLKyssxmc506dfjNe0VmZmatWrUYEEVmZqYkSfLV\nS5DdunWLAbGVkZHh7e0dFBT06KOPrlmzRp7WchMxMTE///xzWlqaqwupImbsAABADbVq1aqH\nH364qKhIXrx9+/aJEycce270LmMeAgAA1FB16tSRf1hiypQpJpNp1apV2dnZpf5omKcg2AEA\ngBpqwoQJQoiVK1eOGzdOkqROnTolJSUNGDDA1XVVHcEOAADUXBMmTJDjnTpwjR0AAIBKEOwA\nAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABU\ngmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAANWi0+kSExOLNRYVFWk0mi+//LKyL6xW\nJQ7sCwAAADIvL68DBw507Njxbm6UYAcAAOB4Go2mX79+d3mjnIoFAAA1juZPjurw5s2bgwYN\n8vX1rV+//vvvvy/+76nYH374oWPHjgaDoWvXrgcOHNBoNKdPny7rhdVBsAMAADWLbZ5zVLz7\n+9///tJLL6Wnp8fHx0+bNi03N1d5ymq1Dh8+vH379tevX9+wYcPs2bOFEFqttsIXVgHBDgAA\noLrGjRsXGRkZEBAQHx9/586dlJQU5aljx45dvnz55ZdfDgwM7NChw/Tp0+18YRUQ7AAAAKqr\nZcuW8gOj0SiEMJlMylN//PGHl5dX06ZN5cWuXbva+cIqINgBAABUl3JqtSRJknQ6nXLC18vL\ny84XVqUMB/YFAADgcSRJcmr/DRo0KCgoSEtLkxe///57522LYAcAAGoWSZKUMOfsVCeE6N27\nd0hIyJIlS/Lz83/++ec1a9Y4b1sEOwAAUBPZxjun8vHx2b59++HDh+vWrZuQkPDyyy8LR5+B\nVXCDYgAAgGopKipSHtevX7/kdGBkZOT333/v4+MjhDh69KgQolGjRuW8sMqYsQMAAHAiSZJa\nt26dkJBw+/btq1evLlq0KCoqKjAw0BnbItgBAAA4kUaj+de//vXHH3+EhYV16NDBz89vy5Yt\nTtoWp2IBAACcq0OHDvv27bsLG2LGDgAAQCUIdgAAACpBsAMAAFAJgh2Au2HymqOuLgEA1I9g\nBwAAoBIEOwBOJ0/XMWkHAM5GsAPgXOQ5ALhrCHYA7h5CHgA4FcEOgBOVTHJkOwBwHoIdAACA\nShDsADhLWZNzTNoBgJMQ7AAAAFSCYAegcmZuPWvPauVPyzFpBwDOQLADUAkzPjhjz2rkNgBw\nCYIdAHspce3xtccc2BsAeLSioiKNRpOcnOzqQoQQQufqAgB4pMlrjm5M6FXWs+U8BQBwHmbs\nANiFCTYAKqPRaDQajaurcDCCHYAqIuoB8FxOinTXr19/9NFHGzZsaDQaIyMjv/76ayFEkyZN\nNm/eLK/wwgsvaDSaS5cuyYvR0dFLlixxYAEEOwAVI8MBUCvHJrwRI0ZkZmaeOnUqIyMjIiIi\nLi4uIyMjNjb28OHD8gr79+9v06aNvGgymb799ttBgwY5sACCHYAKlJPqCHwAPJGTputOnjz5\n7bffrly5MjQ01Gg0vvLKKxaLZc+ePUqwy83NPXPmzJQpUw4dOiSE+OabbwICArp06eLAGgh2\nAACgRnNUzrtw4YJWqw0PD5cXDQZDkyZNUlJSYmJiLly4cO3atcOHD3fu3DkmJkYOdgcOHIiN\njdVqHRnGCHYAylPhnByTdgA8S6kxzklzeFartbCwsE6dOp07dz5y5Mj+/fv79evXtm3bzMzM\ntLS0gwcPOvY8rCDYAag+sh0ACCFatmxptVp//vlneTEvL+/SpUstW7YUQgwcOPDw4cMHDx7s\n16+fRqOJjIxMTk7+7rvvBg4c6NgauI8dgPIUuyNdVlaW2WyuU6eO+u4RAKCGkCTJST137Nix\nd+/es2fPfv/99/V6/Zw5cwICAh588EEhRGxs7JNPPvnHH3/07t1bCNG3b9+VK1eGh4c3aNDA\nsTUwYwcAAOAYH330kY+PT5s2bZo1a5aSknLkyJHAwEAhRGRk5JUrV7p27WowGIQQffv2/fHH\nHx0+XSeYsQMAAKgOnU6nzAI2btw4MTGx5Do+Pj65ubnKYs+ePZ00cciMHQAAgEoQ7AAAAFSC\nYAcAAKASBDsAAACVINgBAACohNO/Fbt79+5PP/305s2b99xzz8SJE7t37y6EyM3NXbt27enT\np81mc6tWraZNmxYaGursSgAAANTNuTN2+/bt27p1a0JCwurVq2NiYtatW3fnzh0hxKpVq27c\nuLFgwYLly5cbjcbFixdbrVanVgIAAKB6zg12W7dunTRpUrdu3UJDQ0eMGLF27Vqj0ZiRkXH8\n+PGpU6c2a9asYcOG06ZNS01NPXPmjFMrAQAAUD0nBrubN29eu3ZNCPHMM8+MGjXqueeeO3fu\nnBDi119/9fb2btasmbyav79/o0aNzp8/77xKAAAAagInXmN38+ZNIcSXX375/PPPBwUFffzx\nx4sWLVq9enV2dnZAQIDtD00GBQVlZWUpi8eOHXv11VeVRT8/v6ysLH9/f4dXKElSQUGBfHYY\nQgj5hHh2djY/A6qwWq0MiC2LxSKEuH37tqsLcSNWq5UBsWW1WiVJyszMdHUhboQBKamoqCgz\nM9NisTjvl1trJqd/eWLMmDGNGjUSQjzxxBMHDhw4ceKEEKL8j8mioqKcnBxl0WAwSJLkjIvw\nJEnSaDQcUgp5KCRJYkwUypi4uhD3wkWxtpz0B8rTMSa2OEhKYkycxInBLjg4WAjh5+cnL3p5\neQUHB2dmZoaFhWVnZ8uhSn4qKyurdu3aygv79Omzf/9+ZTEhIaFWrVp16tRxeIV5eXk6nU6v\n1zu8Zw+Vm5trMpmCgoJ0On5E+D+ys7ONRiMDosjKyjKbzcHBwcxiKjIzM2vVqsWAKDIzMyVJ\nkj8CILt16xYDYisjI8Pb2zsoKMjLy4t/O47lxGvsgoODa9euLV9XJ4QoLCxMT0+vV69ey5Yt\nzWbzhQsX5Pbs7OzLly+3bt3aeZUAAADUBE4Mdlqtdvjw4R9//PGpU6cyMjLWrFnj6+vbvXv3\n4ODgXr16vfPOO7///ntqaurKlSubN2/epk0b51UCAABQEzj3BNNDDz10586dN998Mzc3t1Wr\nVq+88oqvr68Q4plnnlm7du3ChQstFkvbtm3nz5/PTCwAAEA12RXsbty48fzzz+/du/fatWsl\nL3Us57pyrVY7ceLEiRMnFms3Go0zZ86sbK0AAAAoh13BbsaMGZ9++ml0dHRsbCxXkQMAALgn\nu1La/v37t2/fPmLECGdXAwAAgCqz68sT+fn5vXv3dnYpAAAAqA67gl3Xrl1/+uknZ5cCAACA\n6rAr2K1cuXLOnDlHjx51djUAAACoMruusXv22WevXr3au3dvo9FYt27dYs+mpKQ4vi4AAABU\nkl3BTqvV3nfffffdd5+zqwEAAECV2RXsDh8+7Ow6AAAAUE1O/EkxAAAA3E3lzdiFh4dPmjRp\n3rx54eHh5ax27tw5R1cFAACASisv2NWqVctgMMgP7lY9AAAAqKLygt2xY8eKPQAAAIDbKu8a\nu2XLlv373/+2bSkoKDh48ODNmzedXBUAAAAqrbxgN2/evG+++ca2JT09/f777+dOxQAAAG6I\nb8UCAACoBMEOAABAJQh2AAAAKkGwAwAAUAmCHQAAgEpU8FuxKSkptjexS09PF0KcP38+JCRE\naYyIiHBScQAAALBfBcHujTfeeOONN4o1Pvfcc7aLkiQ5uCgAAABUXnnBbsGCBXetDgAAAFRT\necFu4cKFd6sMAAAAVBdfngAAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATB\nDqihJq85OnnNUVdXAQBwJIIdAACAShDsgJpImatj0g4AqmPs2LH+/v6uruK/CHZAjUOYAwC1\nItgBNR05DwBUg2AH1CylxjiyHQA1sVqtCxcuDAsL8/X17dq16969e59++mkfHx9lhUOHDsXG\nxgYGBhqNxi5duqxfv155Kioqqm/fvidPnhwwYEBgYGBoaOijjz5648YN+VlJkhYvXiz33L59\n++3btxfbdDk99+nTJyoqKikpKSwsrHfv3k7ad52T+gUAAHCJZcuWLVq0aPTo0fHx8ZcvX540\naVJYWJgS7Pbt2zdo0KDIyMgPP/xQr9fv2LEjPj4+MzNz1qxZQggfH59ffvklISFh6dKlHTp0\nOHLkyJgxY/R6/caNG4UQy5cvX7Bgwfjx4ydPnnzr1q1FixaZzWZlu+X3rNfrMzIyZs+ePW/e\nvCZNmjhp3zWSJDmpa0dJSEiYP39+WFiYw3vOy8vT6XR6vd7hPXuo3Nxck8lUq1YtnY7E/x/Z\n2dlGo1E1A1L+zNzGhF4V9pCVlWU2m+vUqaPRaBxXl2fLzMysVasWA6LIzMyUJCk4ONjVhbiR\nW7duMSC2MjIyvL29g4KCHn300TVr1gQGBjqwc0mSGjRoULdu3dOnT8v/ML/99tuIiAg/P7/c\n3FwhRJcuXXJycn744Qej0Si/ZMSIEQcOHLhx44avr29MTMy+ffu++uqryMhI+dmYmJizZ8+m\npqZKktSoUaPg4OAzZ87IT129erVJkyY+Pj7297xjx46RI0c6cH+L4VQsAABQj2vXrl2/fj02\nNlb571bPnj3btWsnP75x48bJkyeHDh2q1WpNf4qLi8vJyVHimtFoVFKdEKJRo0bXrl0TQly+\nfDktLa1///7KUw0aNOjWrZv9Pfv4+AwbNsypu0+wAzyenVfIVbgaV9oBUIHr168LIRo0aGDb\n2KpVK/lBWlqaEOKtt94y2Jg2bZoQ4sqVK/I6devWtX2tTqezWq1CCDneFXu2YcOG9vccEhLi\n7e3t0N0tTiUnmACUj9AGoIYoKCgQQmi1/2fqqtjFEk888cSUKVOKvbBFixbl91zq1WsWi8X+\nnp2d6gTBDvB0cmKbvOZo+VfI2XP9HACogHw5ozxvpzh//rz8oHHjxkIIi8USERFR2Z7luTp5\n3k6RkpJS/Z4diFOxgEowJwcAQohmzZoFBQXt2bNHaTl+/LhylVtwcHCPHj0SExNv376trLB5\n8+b58+cXFRWV33PTpk1DQkKSk5PlM7NCiF9++eWHH36ofs8ORLADPBhhDgCK0el08fHxP/74\n4+OPP/7FF1+sXbt29OjRtl+GeP311+/cuRMdHb158+YvvvjixRdf/Mtf/pKamlrhDRC0Wu2T\nTz554cKFUaNG7dixY/Xq1QMHDuzSpUv1e3YgTsUCnqpkqqvwhCwA1ARLly41m80fffTRtm3b\nunTpsnXr1rfeekuZWouOjt6/f//ixYtnzJhhMpmaNWu2ZMmS//mf/7Gn5wULFpjN5o0bNyYl\nJbVq1WrVqlX79u1TpgOr07OjcB877mP3X9zHriR3vo9dqdN1zg523MeuJO5jVwz3sSuJ+9gV\n49T72JUqJibm559/lr+4qm6cigU8UlknYTk5CwCrVq16+OGHlSvbbt++feLEiU6dOrm2qrvD\nHechALit/EdGS5Ik9n7u6kIAoEx16tSRf+BhypQpJpNp1apV2dnZ8u96qR4zdoDnKX9a7i5M\n2mUMGersTQBAlU2YMGHz5s2pqanjxo17/PHHNRpNUlLSgAEDXF3X3cCMHaBCTvoWRfrgOIf3\nCQDOMGHChAkTJri6Chdgxg7wMG5yFR0hDwDcEMEO8CT2pzqH5z+SHAC4P4IdgIqVmuqIegDg\nbgh2gMeo7CScm5y0BQDcNQQ7ABUoZ2aOSTsAcCsEO8AzVG367S5M2pHtAMB9EOwAlatmtiO3\nAYAHIdgBHsDNr5Yj/AGAm+AGxYC7q36qq879iusm77ZdzMrKMpvNderU4TfvAcANMWMHAACg\nEgQ7wK056iSsm5/MBQA4BKdiAbfmjJ98BQCoFTN2AAAAKkGwAwAAUAmCHQAAgEoQ7AAAAKql\nW7dumhI2btx49yvhyxMAAKDGKTh8pPDUKY3BoI+K8m51X/U7fOyxxxYsWGDbUq9evep3W1kE\nOwAAUINIZvOtx58wHTgoL2q8vQP+Z2bAs89Us9ugoKAWLVpUt7hq41Qs96enfAAAIABJREFU\nAACoQXLeXKmkOiGEZDZnv7684OuvXVeRIxHsAABADXLnXzvsbPREBDsAAFCDWLOySmm8fbua\n3b777ru6/+v777+vZp9VwDV2AACgBvFu0bzw1A/FG++r7vcnxo4d+7e//c22xSWX3BHsgLtK\n/s1WfigMAFwlcO6cjLHjbFu8Quv6/yW+mt0GBwe3a9eump1UH6diAQBADaLv2zd47RqvxmFC\nCKHR6CN61vnoQ21IiKvrcgxm7IC7R56ukx8waQcArmIYGmcYGme9eVPj66vx83N1OY5EsANc\ng2wHAK6lrVPHUV2dOHHCUV1VE6digbtEma4DAMBJCHaAyxD1AACO5QGnYq1Wa0FBgclkcnjP\nFotFkiRJkhzes4eyWCxCiMLCwqKiIlfX4i7kw6/6AzJ1Q+l3M3LGge1UVqtVCGEymTQajatr\ncReSJDEgtuS/qx53bDsVA1KS1Wo1mUx8CjucBwQ78eefCSd1yyGlkIeCMbGljEl1OknY+O+y\nnpq64fs1k7tUp3OX4AgphgEpiTEphgEpiY8bZ/CAYKfVan19fQ0Gg8N7tlqtOp1Or9c7vGcP\nZbFYioqK9Hq9TucBB8bdYTabqz8gWm151zw8ufmUB32LorCw0GKxGAwGJqgUJpOJAbElT005\n44+258rPz2dAbOXl5Wm1WoPBoNVq+bfjWFxjBzgXF9IBAO4agh1QRZPXHHVUaCP8AQAcgjNu\nQFXYH8U86DQrAMDTMWMHVAuTbQAA90GwAyqNMAcAcE8EO6C6yHkAADdBsAMqp9QYR7YDALgD\ngh0AAIBKEOyASihnZo5JOwCAyxHsAHsR3QAAbo5gBzgMyQ8A4FoEO8AuhDYAgPsj2AGORP4D\nALgQwQ6oWKXiGtkOAGqabt26aTSaU6dO2TZaLJb69etrNJqioqK7VgnBDgAA1Cz5hZbNR36f\n+/GpRTvOfH76qiQ5oM/Q0NCNGzfatiQnJ9/NSCcj2AEViP/f7yr7EibtAMBtZd0xj3/363e/\n/OXg2et7fkhb8K/Tf/vkVPWz3eDBgz/44IPCwkKlZdOmTf37969uv5VEsAPK89SW064uAQDg\nSH///FxaZr5ty4GfryefTqtmt927dw8KCkpKSpIXMzMzP/vss9GjR1ez28oi2AFOwaQdALin\nb37NKNl4tLTGynriiSc2bNggP/7444+joqIaNWpU/W4rhWAHlIlwBgDqU2SxlmwsLCqlsbIm\nT568d+/ea9euCSE2bdr0xBNPVL/PyiLYAc5CLgQAN9S2Ua2Sje3DSmmsrIYNG8bGxr7//vvn\nzp377bffRowYUf0+K4tgB5TOIbGMbAcA7mbm4HCDj5dtS4t6AaN6NnZI5/Hx8R999NGWLVvG\njx/v4+PjkD4rhWAHAABqkKZ1/TZM7XV/m3r1g3ybhPg92qvJe49399E5JhENGzbs6tWrW7Zs\nccl5WCGEziVbBdzfxoReQojs7Gyj0ajT8S8FANSjaV2/V8d0ckbPOp1uwoQJ+/bt69ixozP6\nr7gAl2wVAABANU6cOKE8fv3115XHERERkkNuf2w3TsUCAACoBMEOAABAJQh2AAAAKkGwAwAA\nUAmCHQAAgEoQ7AAAAFSCYAcAAKASBDsAAACVINgBAACoBMEOAABAJQh2AAAAKkGwAwAAUAmC\nHQAAgEoQ7AAAAFSCYAcAAKASBDsAAACVINgBAACoBMEOAABAJQh2AAAAKkGwAwAAUAmCHQAA\ngEoQ7AAAAFSCYAcAAKASBDsAAACVINgBAACoBMEOAABAJQh2lZY+OC59cJyrqwAAACiOYFdF\nZDsAAOBuCHaVQ54DAABui2BXdYQ8AADgVgh2lUCSAwAA7oxgZ69SUx1RDwAAuA+CHQAAgEoQ\n7OxSzswck3YAAMBNEOwcgGwHAADcAcGuYuQ2AADgEQh2jvH/27vz6KjKO/7jd5YwyYSQSSRs\nAiEosiqIC0SpBUXEgIg/RBHasB4S4RwO7pTakxi0VmklnirGyGKAqhQrtrVIDaCncoQaFjEV\nZInALwRDSDLMZJIMmeX+/rg/b6eTzCSEWZ95v/6698m9z/3ehyfJh2fuTAh/AAAg7PThLiAK\npO3cEe4SAAAA2seKHQAAgCAIdgAAAIIg2AEAAAiCYAcAACAIgh0AAIAgCHYAAACCINgBAAAI\ngmAHAAAgCIIdAACAIAh2AAAAgiDYAQAACIJgBwAAIAiCHSBdnJwV7hIAAAgAgh0AAIAgCHaI\ndcpyHYt2AAABhCjY7d69e9q0afv371d2bTbba6+9Nm/evDlz5hQUFNTU1ISmDAAAAIGFIthd\nunSppKSkS5cuakthYWFNTU1eXt7q1auNRmNBQYHb7Q5BJYAXz4U6Fu0AANEuFMGuqKho/Pjx\nRqNR2a2trS0rK1u8eHFGRkafPn1yc3OrqqrKy8tDUAngH9kOABDVgh7s9u3bV1FRMXv2bLXl\n5MmTcXFxGRkZym7Xrl379u17/PjxYFcCeCHGAQAEow9q7zabraio6IknnoiPj1cbrVZrUlKS\nRqNRW5KTky0Wi7q7f//+l19+Wd1NTEy0WCxdu3YNeHmyLF++fLmpqSngPUcp5QVxq9Xq+a8j\nqsuPzGqzvfre+wx//kDddbvdMTIgHeRyuSRJunTpUrgLiSBut5sB8eR2u2VZNpvN4S4kgjAg\nrTmdTrPZ7HK5ZFkOdy1CCW6wW79+/ejRo0eNGuXV7v/XpNPpbGhoUHcTEhJkWQ7GQ3iyLGs0\nGqaUShkKWZZjYUz83KPnZFPHJBQ1RQ8eivUUpB9Q0Y4x8cQkaY0xCZIgBrtvvvnm0KFDb7zx\nhle7yWSyWq1KqFJaLBZLSkqKesC4ceP27Nmj7ubk5JhMpmuuuSbgFTY2Nur1eoPBEPCeo5TN\nZrPb7cnJyXp9cBN/2F2cnOXnHt1zfpm2c4eybbVajUaj8APScRaLxeFwpKamsoqpMpvNJpOJ\nAVGZzWZZllNTU8NdSASpr69nQDzV1tbGxcUlJyfrdDq+dwIriL+uSktLGxsbc3NzlV2bzbZm\nzZpRo0bl5OQ4HI6Kiorrr79ekiSr1VpZWTl06NDgVQJcqYuTs9RsBwBAtAhisMvNzZ0/f766\n+8QTT2RnZ48ZM6Zbt26ZmZlvvvnmsmXLunTpsm7duuuuu27YsGHBqwTwxHsmAACiCmKwS0pK\nSkpKUnc1Gk1SUlK3bt0kSVq2bFlxcXF+fr7L5Ro+fPjzzz/PSixChqU4AICoQvfk0KZNm9Rt\no9G4fPnykF0aAAAgFvC3YgEAAARBsAMAABAEwQ4AAEAQBDsAAABBEOwAAAAEQbBDR/HxbwAA\nRDiCHTpESXVkOwAAIhnBDgAAQBAEO7TPc6GORTsAACIWwQ4AAEAQBDu0o/USHYt2AABEJoId\n/CHDAQAQRQh26AwCHwAAEYhgB5/8pzeyHQAAkYZgBwAAIAiCHdrWkQU5Fu0AAIgoBDsAAABB\nEOzQho4vxbFoBwBA5CDYwVv9lAeu6HiyHQAAEYJgBwAAIAiCHf6HY9bsTpwV7Yt2897eF+4S\nAAAIAIIdIElkOwCAEAh2+K/G//Nwp8+N3kU7Ih0AQBgEO/x/0ZvMroZnqiPhAQCiHcEOAROb\n0RAAgMhBsIMkBS6TRVe2a71Ex6IdACCqEewAAAAEoQ93AYgIaTt3SJJks9nsdrvJZNLrxZ8Y\nvhbn5r29792czBAXAwBAQLBiB3jjBVkAQJQi2CEWEd0AAEIi2CHmdCTVkfwAANGIYAcAACAI\n8Z+RB7zw3ggAgKhYsQMAABAEwQ4AAEAQBDsAAABBEOwAAAAEQbADAAAQBMEOAABAEAS7mDPv\n7X18+i4AAEIi2MUosh0AAOIh2MUW8hwAAAIj2MUuQh4AAIIh2MUQkhwAAGIj2MWKNlMdUQ8A\nAJEQ7AAAAARBsIsJflbmWLQDAEAYBDv8T7ZbvvXYVfYAAADChWAnvo6nriWbj3S6f7IdAABh\nR7CDJP1vLFu47uswVgIAADqNYCe4ji+keR4Z7LMAAEAw6MNdAIKo40nrzMVGSZL6X5MQzHIA\nAEBwsWKHtnUkFLY+hkU7AADCiGAnrCtdrpMk6f/WNYXyugAAILAIdvgflWa7uu0/ohHgAACI\nNAQ7MXViue6K+iHzAQAQgQh28Ha21l/UAwAAEYtgJ6BALdf56q1z76sAAADBRrATTUBSXUcC\nXwArAQAAAUGwQ9s8sx2fQgwAQFTgA4pF825OZkcOm/f2vgFpiV6Nbrfb7XbrdDqNRuPrrCsq\nZt7b+zpYDwAAuHqs2KFDWKgDACDyEexiUedS2vgXd4XsWgAAoBMIdjGHpAUAgKgIdugQ5b0U\nnXu3LFESAIDQINjFlnBlLLIdAAAhQLBD+zwX6gLyEXcAACAYCHYxpHPLZoFKcizaAQAQbAQ7\nXDEW7QAAiEx8QHEMafezgm02m91uN5lMej0TAwCA6MOKHQAAgCAIdgAAAIIg2AEAAAiCYAcA\nACAIgh0AAIAgCHYAAACCINgBAAAIIgo+rsztdl++fNlutwe8Z5fLJcuyLMsB7zlKuVwuSZJa\nWlqcTme4a4kUyvRjQFRut1uSJLvdrtFowl1LpJBlmQHxpPxcDcYP7ejFgLTmdrvtdju/hQMu\nCoKd9NOPiSB1y5RSKUPBmHhSxyTchUQWBsQLA9IaY+KFAWmNXzfBEAXBTqvVxsfHJyQkBLxn\nt9ut1+sNBkMA+7w4OStt544AdhhKLpfL6XQaDAb+8oTK4XAwIJ5aWlpcLldCQgILVCq73c6A\neFKWpoLxQzt6NTc3MyCeGhsbtVptQkKCVqvleyeweMYukC5Ozgp3CQAAIHYR7AKPeAcAAMKC\nYBcwnnmObAcAAEKPYBcYJDkAABB2BLtgIeoBAIAQI9gFABkOAABEAoJdEBH4AABAKBHsrhbp\nDQAARAiCXXAR+wAAQMgQ7K5KR3KbMNlu3tv7wl0CAADwhz+UdFWi96+HXSkl1c17e9+7OZnh\nrgUAALSNFTsAAABBEOzQPs8XYXlBFgCAiEWwAwAAEATBDu1ovUTHoh0AAJGJYAd/yHAAAEQR\ngh06g8AHAEAEItjBJ//pjWwHAECkIdgBAAAIgmCHtnVkQY5FOwAAIgrBDgAAQBAEO7Sh40tx\nLNoBABA5CHbwtnDd11d0PNkOAIAIQbADAAAQREwHu8c3fRPuEiLO8q3HOnEWi3YAAESCmA52\nkiQt3ngw3CUAAAAERuwGOxaZWluy+Uinz2U8AQAIu9gNdioSiYJxAAAg2sVosPMKMWSagGAY\nAQAIrxgNdvASqExGtgMAIIxiMdi1GT5IJAAAINrpw11AqBHg2vRuTqYkSTabzW63m0wmvT7m\nJgYAAAKIxRU7X8h8AAAgqsVWsCO6AQAAgcVWsGsXyQ8AAESvGAp2HQxtZDsAABClYugZeeX9\nAZ4aGxv1er3BYAhLPQAAAIEVQyt2AAAAYiPYAQAACIJgBwAAIAiCHQAAgCBiOtjZHpoR7hIA\nAAACJqaDnSRJlmnTw10CAABAYMRusLs4OctrAwAAIKrFbrADAAAQTIwGO69VOhbtAACAAGIx\n2BHjAACAkGIx2LWJtAcAAKJdzAU7AhwAABBVzAU7P8h8AAAgqsVWsGs3upHtAABA9IqtYAcA\nACAwfbgLCKm0nTs8dxsbG/V6vcFgCFc9AAAAAcSKHQAAgCAIdgAAAIIg2AEAAAiCYAcAACAI\ngh0AAIAgCHYAAACCINgBAAAIgmAHAAAgCIIdAACAIAh2AAAAgiDYAQAACIJgBwAAIAiCHQAA\ngCAIdgAAAIIg2AEAAAiCYNe2i5OzLk7OCncVAAAAV4BgBwAAIAiCXRvUtToW7QAAQBQh2AEA\nAAiCYOfNa5WORTsAABAtCHb/o80YR7YDAABRgWAHAAAgCILdf/lZmWPRDgAARD6CHQAAgCD0\nQe29vr5+w4YNR44caWlpGThw4Pz582+44QZJkmw2W3Fx8bfffutwOAYPHpybm9ujR4+gVtKu\ndtfkLk7OStu5IzTFAAAAdEJwV+xefPHF2traF154obCwsHv37gUFBXa7XZKkwsLCmpqavLy8\n1atXG43GgoICt9sd1EoAAACEF8Rg19DQkJaWtnTp0oEDB/bu3Ts7O9tqtVZWVtbW1paVlS1e\nvDgjI6NPnz65ublVVVXl5eXBq6RdHXyEjiftAABAJAtisEtKSvrVr37Vr18/Zbeurk6r1Xbv\n3v3kyZNxcXEZGRlKe9euXfv27Xv8+PHgVeLfFcU1sh0AAIhYwX3GTtXQ0PDHP/5x+vTpKSkp\nVqs1KSlJo9GoX01OTrZYLOru/v37X375ZXU3MTHRYrF07do14FXJsnz58mWXy3VFZ5nN5oBX\nEiGUF8StVqvnv06Mc7vdDIgn5fvl0qVL4S4kgrjdbgbEk9vtlmVZ4B+VncCAtOZ0Os1ms8vl\nkmU53LUIJRTB7ty5c6tWrRo1atTcuXOVFv+/Jp1OZ0NDg7qbkJAgy3IwHsKTZdkxa/aVnmWf\n+WiXre8HvJhIoHx3ybLMt5lKHZNwFxJZeCjWU5B+QEU7xsQTk6Q1xiRIgh7sjhw58uqrrz72\n2GNTp05VWkwmk9VqlWVZjXcWiyUlJUU9Zdy4cXv27FF3c3JyTCbTNddcE/DaGhsb3TpdJxZj\nglFMJLDZbHa7PTk5Wa8P0VJu5LNarUajkQFRWSwWh8ORmprKKqbKbDabTCYGRGU2m2VZTk1N\nDXchEaS+vp4B8VRbWxsXF5ecnKzr1G9h+BHcd8UePXr0lVdeefLJJ9VUJ0nSoEGDHA5HRUWF\nsqu8o2Lo0KFBraRNtodmdO5EnrQDAAARKIjBrqWlpbCwcNq0aenp6bU/sdvtqampmZmZb775\n5unTp6uqqtasWXPdddcNGzYseJUEA9kOAABEmiC+wHTs2LHq6ur33nvvvffeUxtzcnKmTJmy\nbNmy4uLi/Px8l8s1fPjw559/PvQrsSQzAAAgmCAGu5EjR/7tb39r80tGo3H58uXBu3S7ApLq\n+FsUAAAgovC3YgEAAAQRo+/1U1baGhsb9Xq9wWAIdzkAAAABwIodAACAIAh2AAAAgiDYAQAA\nCIJgBwAAIAiCHQAAgCAIdgAAAIIg2AEAAAiCYAcAACAIgh0AAIAgCHYAAACCINgBAAAIgmAH\nAAAgCIIdAACAIAh2AAAAgiDYAQAACIJgBwAAIAiCHQAAgCAIdgAAAIIg2AEAAAiCYAcAACAI\ngh0AAIAgCHYAAACCINgBAAAIQh/uAtpnNBqXLl2q0WgC3rMsy5IkBaPnKOV2u10ul16vZ0xU\nbrdbq+X/P//ldDplWY6Liwt3IRGESeLF5XJJkqTT6cJdSARhknhxOBxarVan0zU2Noa7FtFo\nlHADSJL06quv/vnPf968efPQoUPDXQsi1NKlS//973//61//MhqN4a4FEWratGmXL1/+5z//\nGe5CEKGcTufYsWNvvvnmd955J9y1CIj/QAAAAAiCYAcAACAIgh0AAIAgouDNEwiZMWPGJCQk\nXHPNNeEuBJFr0qRJQ4YM0ev50QGfZsyYobx/AmiTVqudO3dunz59wl2ImHjzBAAAgCB4KRYA\nAEAQBDsAAABB8KAMpN27d7/++usrV64cO3asJEk2m624uPjbb791OByDBw/Ozc3t0aNHuGtE\n2OzYsWP79u11dXXXXnttdnb2bbfdJjFJ4OHcuXMbN248fvy40+nMyMj45S9/OWzYMIlJAkmq\nqqpas2bNqVOnPv74Y7XR18RgwgQKK3ax7tKlSyUlJV26dFFbCgsLa2pq8vLyVq9ebTQaCwoK\n3G53GCtEGO3evXvr1q05OTlFRUUTJ0585513mpqaJCYJfiLLckFBQUpKSnFxcUlJyYgRI/Lz\n8xsaGiQmScz78ssvV65c2bdvX692XxODCRMoBLtYV1RUNH78ePWvCNTW1paVlS1evDgjI6NP\nnz65ublVVVXl5eXhLRLhsnXr1rlz59566609evR48MEHi4uLjUYjkwQqq9VaXV09ceJEo9Fo\nMBiysrLsdvuPP/7IJIHD4fj973+vvBCk8jUxmDABRLCLafv27auoqJg9e7bacvLkybi4uIyM\nDGW3a9euffv2PX78eJgKRDjV1dVVV1dLkrRs2bKZM2c+/fTT33//vcQkgYfk5OQhQ4bs3Lmz\noaHBbrfv3LmzZ8+eAwYMYJLg7rvvTktL82r0NTGYMAFEsItdNputqKho6dKl8fHxaqPVak1K\nStJoNGpLcnKyxWIJR4EIs7q6OkmSdu3a9eyzz27YsGHw4MEvvPCCxWJhksDTihUrTp06NWfO\nnEceeWTnzp0rVqzo0qULkwRt8jUxmDABRLCLXevXrx89evSoUaO82j2/tYBHH320b9++SUlJ\nCxYs0Gg0Bw4ckJgk+InT6SwoKBgyZMjmzZs/+OCDBx54IC8vz2w2S0wS+OBrYjBhAoVgF6O+\n+eabQ4cOLViwwKvdZDJZrVbPj622WCwpKSmhrQ4RITU1VZKkxMREZVen06WmpprNZiYJVOXl\n5adPn160aFFycrLRaHz44YcNBsPevXuZJGiTr4nBhAkggl2MKi0tbWxszM3NnTNnzpw5cywW\ny5o1a15++eVBgwY5HI6KigrlMKvVWllZOXTo0PBWi7BITU1NSUlRnquTJKmlpeXixYs9e/Zk\nkkAly7Isy57vXnQ6nZIkMUnQJl8TgwkTQLr8/Pxw14AwuOmmm+738MUXX8yfP/+hhx4ymUxn\nz579/PPPBw8e3NTUtHbt2sTExDlz5rBIHoM0Go3L5frwww8HDhyo1+vffffdmpqanJycpKQk\nJgkUycnJu3fvrqmpUT677q9//euhQ4cWLVrUo0cPJkmMM5vNjY2NZ8+eLSsrmzhxYlNTk1ar\n9fXTw2g0MmEChb8VC0mSpOzs7CVLlijvS29qaiouLj58+LDL5Ro+fHhubi7r4THL7XZv2bJl\n165dNptt8ODBS5Ys6devn8QkgYezZ8+WlJScOHHC5XL179//F7/4xY033igxSWLeokWLampq\nvFqmTZvma2IwYQKFYAcAACAInrEDAAAQBMEOAABAEAQ7AAAAQRDsAAAABEGwAwAAEATBDgAA\nQBAEOwAAAEEQ7ACESH5+vkaj6dGjh8PhaP3VRYsWaTSacePGKbtjx44dMmSIr65mzZrVtWvX\nYBUKAFFLH+4CAMQQrVZbX1//j3/8Y/r06Z7tzc3N27Zti4uLU1tmzZrV3Nwc8gIBILoR7ACE\njlarvf322zdu3OgV7LZv397c3Dxy5Ei1Zfny5SGvDgCiHi/FAggdp9M5derUHTt2XLhwwbO9\npKRkwoQJBoNBbfF8KVaW5YKCgn79+sXHx994440ffvhhSIsGgOhBsAMQUjNnznS73Vu2bFFb\nqqqqdu3aNWvWLJfL1eYpq1evzsvL+/nPf/7JJ5/85je/eeGFF7755ptQ1QsA0YRgByCk+vbt\ne/fdd2/cuFFt2bJli8FgePjhh2VZbn28LMuvv/76iBEjtmzZMnHixEceeeSzzz774YcfQlgy\nAEQNgh2AUJs3b953331XVlam7JaUlEyfPj0pKanNgysrK8+fP3/33XerLb1797711ltDUSgA\nRBuCHYBQe+ihh5KSkpRFu7KysmPHjmVnZ/s6uLq6WpKktLQ0z8Y+ffoEu0gAiEYEOwChZjQa\nZ86c+f7779vt9pKSkt69e997772+Dm7z9VlfT+MBQIwj2AEIg7lz5166dOmzzz7bunXr7Nmz\ndTqdryOVtTpl3U515syZYFcIANGIYAcgDH72s58NHDhw1apVtbW1fl6HlSRpwIAB3bt337lz\np9vtVlpOnDhx5MiRkJQJAFGGYAcgDDQaTXZ29oEDB0aOHHnTTTf5OVKr1T7++OMVFRUzZ878\n6KOPioqKJk2aNHr06JCVCgBRhGAHIDyys7OVeNfukXl5eStWrPjqq68ee+yxtWvXFhYWZmZm\ntvkHZwEgxmnafDAZAAAAUYcVOwAAAEEQ7AAAAARBsAMAABAEwQ4AAEAQBDsAAABBEOwAAAAE\nQbADAAAQBMEOAABAEAQ7AAAAQRDsAAAABEGwAwAAEATBDgAiml6v//jjj0NzrYMHD6amprrd\nbq/tq+R0OjUaza5duwJ4ZMevu3PnzhCcdZX9BPbGwyWAcwadRrADgKi0Z8+eAwcOtN6+Grt2\n7ZowYYJWq/Xa9n/1divU6XSff/75LbfccvVHCqYTQxTJPOfM8ePHx44dq9frPQ/4/vvvH3jg\ngbS0NJPJdNddd+3duzdMlYqMYAcAUem1115Tf9N7bl+NXbt2TZw4sfW2/6u3e4xGoxk/fnxK\nSsrVHymYTgxRJFPnzNatWydMmDB48GDPr8qyPGXKlF69ep06der8+fPjx4+///776+rqwlSs\nuGQAQATT6XTr1q2bNGmSwWDo2bPnpk2bZFmeMGGCRqMxGAyjR4/23G5ubpYkqbi4+K677kpP\nT+/fv//HH3+s9LNx48YhQ4bEx8f37Nnz8ccfb25ulmX50Ucfveeee5QDmpub4+PjT5w44bXd\n+kTPK8qyXF5efu+996akpCQnJ0+aNOnkyZNeFTocDkmSSktL2+3N88jKysrp06cnJiYqRzY2\nNvq6lq+7Vnr79NNPfZ2YmZmZm5urDvW+ffs0Gs3JkyclSSoqKho3blx8fPyQIUPUMayurp41\na1bv3r0TEhLuuOOOvXv3+mn3vHpLS8vEiRPvv/9+h8OhXq5zQ+Trck6nU5Kkd955Z8CAAfPm\nzWvz1k6fPq22tDm8bfbscrkkSSopKZkwYUJ6evqwYcMOHz781FNPjRw5slevXq+++mrr+VNS\nUnL27Nnt27frdDr1ijU1NZIkffXVV8ru+fPnJUnav3//FX9LwC+CHQBENJ1Od9NNN+3du9dq\nta5cudJoNDY0NMiynJ6e/tZbbynHqNtKPhg1alR1dbUsyxs2bIjhXly+AAAH20lEQVSLi7tw\n4UJFRYXyCJfT6ayoqBg1atRvf/tbWZa3bdtWUlKidFJaWtq/f3+vbV8nel598ODB2dnZNpvN\nYrHMmDHjjjvuaLOq0tLSdnvzzDe33XbbzJkzz58/f+LEieHDhy9dutTXtXzdtWe0avPE9evX\nm0wmJePKsrx8+fIJEyYoZ91www179+61WCx5eXlxcXFnzpyRZXnMmDH33XffhQsXGhsbn3zy\nyW7dul28eNFXu+fVs7OzMzMzlfDkqRND5KcMnU536623Hjx40Gq1tnlrnpduc3j99Dxu3LiG\nhgan03nXXXeZTKaPPvpIluVPP/1Up9NduHDBa/4ovIKdLMuZmZlz586tq6traGjIz8/PyMhQ\nK0SgEOwAIKLpdLrf/e53ynZFRYUkSeXl5bLfYLdmzRql3el0duvWbd26dQcPHpQk6dChQ2p7\n6ws999xzCxYs8Nr2daLn1evr69XI8pe//CUuLs7tdreuqrS0tN3e1CMPHz4sSdKpU6eUAw4d\nOvTJJ5/4upavu/aMVm2eaLPZkpKS3nvvPVmW3W73tddeu2nTJuWsVatWKQfb7Xaj0fjWW28d\nOnRIkqSjR48q7U1NTYmJiZs2bfLVrl79+eefHzZsWF1dXesx78QQ+bqcMlVefPFFpb3NW1Ov\n2+bw+u9Z/ed+7rnn+vbtq2w3NDRIkrRv3z6v+aNoHeyqqqqGDx+uvGDYu3fvgwcPth4TXCWe\nsQOASDdo0CBlw2g0SpJkt9v9H3/dddcpGzqdrk+fPpWVlTfffHNOTs7tt99+55135ufn//DD\nD63PKi0tVR+qU7c7cuLhw4enTp3aq1evXr16LVy40OFwKC/etdaR3hSnTp3SaDQZGRnqiVOm\nTPF/rdZ33W6RiYmJs2bN2rhxoyRJX375pdVqnTFjhnL8kCFDlA2DwaD0VlFRodVq1faEhIT0\n9PQzZ874ald2N2zY8OKLL65duzY1NdXXzV7REPm/3PXXX69s+Lk1X8Prv+drr71W2YiPj+/T\np4+6Lf00IT3nT5taWlqmTJmSmZlZU1Nz6dKlZcuW3XfffT/++GNHhgUdR7ADgEjn662pvijL\nPwqn06nVajUaTVFR0cmTJ+fMmfP1118PGzZs69atnqfU19cfOXLknnvu8dpu98RTp05lZWXd\ne++9Z86cqa6ufvfdd/0U1m5vnkdKkiTLcsev1fquO3LiokWLdu/eff78+a1btz766KNKdJZ+\niiwKrVZrMBhaF+l2u1taWvy3l5WVTZo06emnn/Ysz4+OD1Gbl/Os09etST6G13/PyimttxWe\nc8aXL7744siRI2vWrElLS0tOTl6xYoXRaNy2bZv/GnClCHYAIBrl8X9Jkux2e1VVVf/+/Z1O\n58WLFwcMGLBkyZIdO3bk5OSsXbvW85Tdu3cPHz68R48eXtvtnnjgwAGn0/n0008rSWj//v1+\nCmu3N9X1118vy/KxY8eU3a+//vqNN97wf63Wd92RIm+//fYRI0b86U9/2rZt27x589T248eP\nKxstLS3nz5/v16/foEGD3G730aNHlfbGxsazZ88OGjTIV7uy+8Ybb3zwwQcXLlxYuXKln5Hp\n+BD5v5wnX7cm+Rjejvfcmuec8UV5gd7zU+46GHZxRQh2ABCVjEbjqVOnLl265LUtSdLmzZvL\ny8vtdvsrr7zicrmmTp26adOm0aNHHzx40O12V1dXf/fdd8ov7A8//HDTpk2Sj9dhJUnydaJ6\nxQEDBrhcrv3791++fPn999//6quvJElS3vDoVVVHelOPHDly5JgxY5566qnTp0+fOHEiJyfn\n6NGjfq7V5l2rvfk/ceHChS+99JLJZLrzzjvVUzZs2FBeXt7S0vKHP/zB6XROmzZt5MiRd9xx\nxzPPPFNXV2ez2Z599tmkpKTp06f7alf60el0KSkpW7ZsKSws/OyzzyRJWr9+/euvv976H7GD\nQ+T/cl68bk29dJvDe0U9e/F6Hba6uvrcuXPKR5mcO3fu3LlzNpstMzOzV69eTz31lNlsbm5u\nXr16tdlszsrK6kj/uAJhfcIPANAOnU63fft2ZVt5IKmsrEyW5cLCwoSEBOUxdnVbWQJZu3bt\nnXfeGR8fn56errznwOVy5efn9+vXr0uXLr17954/f77ZbJY9Pu4kIyNjx44dylU8t32d6Hn1\nZ555JiUlJTU1deHChfX19bfccovJZDp9+rRXVaWlpe325vmu2JqamgcffNBoNKalpS1evNhm\ns/m6lrJW1/quPd884atIWZbr6+u7dOmivPlUluWmpiZJkkpKSjIzMxMSEoYOHaqOxtmzZx98\n8MEePXp07949Kyvr+PHjfto9ry7L8q9//euePXteuHDB8yNmOjFEfsrwnCoKr1vzvHSbw+un\n57///e/Kdl5e3pgxY5RtpezPP//cc87Ispyenu4VNpS3tpSXl2dlZXXv3l3Jmnv27OnYNwGu\ngEZu7yV2AEC0cDqdcXFxn3766eTJk8NdS+hc5V3/5z//ue22286cOdOzZ8+A1xZeAt8afNG3\nfwgAACJyuVyVlZULFix4/PHHBYs+At8a/OMZOwBAjFq1atWIESOGDRv20ksvhbuWABP41uAf\nL8UCAAAIghU7AAAAQRDsAAAABEGwAwAAEATBDgAAQBAEOwAAAEEQ7AAAAARBsAMAABAEwQ4A\nAEAQ/w+BgtVkMxmqngAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## axis"
      ],
      "metadata": {
        "id": "BM8PUVDWxFFU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "xScaling <- scale_x_continuous(\n",
        "    # 범위\n",
        "    limits = c(10, 105),\n",
        "    # tick\n",
        "    breaks = 1:5 * 20,\n",
        "    # tick label\n",
        "    labels = paste0(1:5 * 20, \"socre\")\n",
        "    )\n",
        "\n",
        "p <- p + xScaling\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "qNUs0NtpxGDk",
        "outputId": "12a39c34-1f10-4470-ccd5-d96909d380a0"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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gAAAApBsAMAAFAIgh0AAIBCEOwAAAAUgmAHAACgEAQ7AAAAhSDYAQAAKATBDgAA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\nwQ4AAEAjCHYAAAAa8f8BEX+C9P2ksG4AAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 6. 범례2"
      ],
      "metadata": {
        "id": "OKosbjum6nJw"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 범례 위치 조정\n",
        "# right, left, bottom, top, none\n",
        "labelPosition <- theme(legend.position = \"bottom\")\n",
        "\n",
        "p <- p + labelPosition\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "_KB-y_SR6nJw",
        "outputId": "31d93295-ee66-4ffb-db70-3758e132272c"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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TaSNYfq2rXrpEmTXn/99Y4dO44YMaJR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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# 범례 title, key label 배치 방식, 범례 간 순서 조정\n",
        "# title, ncol, byrow, reverse, order, e.t.c.\n",
        "myGender <- guide_legend(\n",
        "    title = \"sex\",\n",
        "    ncol = 2,\n",
        "    reverse = TRUE,\n",
        "    order = 1\n",
        "    )\n",
        "\n",
        "myHighlow <- guide_legend(\n",
        "    title = \"score\",\n",
        "    ncol = 2,\n",
        "    reverse = FALSE,\n",
        "    order = 2\n",
        "    )\n",
        "\n",
        "p <- p +\n",
        "  guides(\n",
        "    color = myGender,\n",
        "    shape = myHighlow\n",
        "    )\n",
        "\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "V6ZdH_CX6nJw",
        "outputId": "c14e4550-ec89-444f-ed74-88bf7ff771fe"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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TaSNYfq2rXrpEmTXn/99Y4dO44YMaJR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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 7. annotate"
      ],
      "metadata": {
        "id": "vNJiy0US0OyS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 그래프에 글자 넣기\n",
        "# geom : text(글씨), rect(사각형), segment(선분), pointrange(점이 중간에 찍힌 선분)\n",
        "anno <- annotate(\n",
        "    geom = \"text\",\n",
        "    x = 90,\n",
        "    y = 10,\n",
        "    alpha = 0.5,\n",
        "    label = \"(c) 2020 issac lee\"\n",
        "    )\n",
        "\n",
        "p <- p + anno\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "Verd1ye40m1k",
        "outputId": "dc5ccb0c-c053-4435-c280-248b964cbb93"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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8tqtfr0KIZQVbWsrMxsNss6O6fTKevU5H7iHA5HaGio0QPxCbvdbjKZJJ5dWFiY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\nAZhMIepwnwAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 8. ggrepel"
      ],
      "metadata": {
        "id": "OXMr_6wu1j_o"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"ggrepel\")\n",
        "library(ggrepel)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "eSSUqJwe1mLM",
        "outputId": "0dcb4a01-16f3-44f0-8516-a017a72dc23d"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependency ‘Rcpp’\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# 중간고사 점수가 80점 초과인 관측치만 선택\n",
        "mypoints <- mydata[mydata$midterm > 80,]\n",
        "\n",
        "myaes <- aes(\n",
        "    x = midterm,\n",
        "    y = final,\n",
        "    label = paste(\"(\", midterm, \",\", final, \")\")\n",
        "    )\n",
        "\n",
        "myrepel <- geom_label_repel(\n",
        "    data = mypoints,\n",
        "    myaes,\n",
        "    color = \"black\",\n",
        "    size = 2\n",
        "    )\n",
        "\n",
        "p <- p + myrepel\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "-Eje2Ob118vX",
        "outputId": "494f6d69-d73d-4a1b-da85-a91c90bf1f20"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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9vb2VU4RFFRkaIoEo/O09NTo9E4u5DqZzQazWazl5eXTKMzm81HjhzZtWtXeR2c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\nQbADAACQBMEOAABAEgQ7AAAASfx/i68p01ob1MoAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 9. 비율 조정"
      ],
      "metadata": {
        "id": "pmHMYHzM51jH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "p <- p + coord_fixed()\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "IGkMP8PU55O7",
        "outputId": "4c538ac4-160d-4b9d-d698-ce837ee24d19"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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GVzlWY0GoUQkyZNGjJkSERERMuWLU+f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\nplu3brt27SoqKnrjjTf0en1xcbEt2FksloiIiLF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}