{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Постановка задачи кластеризации\n",
        "\n",
        "Пусть $X$ — множество объектов, $Y$ — множество номеров (имён, меток) кластеров.\n",
        "- Задана функция расстояния между объектами $ \\rho(x,x')$.\n",
        "- Имеется конечная обучающая выборка объектов $X^m = \\{ x_1, \\dots, x_m \\} \\subset X$.\n",
        "- Требуется разбить выборку на непересекающиеся подмножества, называемые кластерами, так, чтобы каждый кластер состоял из объектов, близких по метрике $\\rho$, а объекты разных кластеров существенно отличались. При этом каждому объекту $x_i\\in X^m$ приписывается номер кластера $y_i$.\n",
        "\n",
        "Алгоритм кластеризации — это функция $a:\\, X\\to Y$, которая любому объекту $x\\in X$ ставит в соответствие номер кластера $y\\in Y$. Множество $Y$ в некоторых случаях известно заранее, однако чаще ставится задача определить оптимальное число кластеров, с точки зрения того или иного критерия качества кластеризации.\n",
        "\n",
        "\n",
        "Кластеризация (обучение без учителя) отличается от классификации (обучения с учителем) тем, что метки исходных объектов $y_i$ изначально не заданы, и даже может быть неизвестно само множество $Y$."
      ],
      "metadata": {
        "id": "_KJWWxdOcn8C"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Выше постановка чёткой кластеризации (одному объекту сопоставляется один кластер). Выделяют ещё нечеткую кластеризацию, когда одному объекту сопоставляется несколько кластеров, с некоторыми весами. С ней вы встретитесь при работе над тематическим моделированием."
      ],
      "metadata": {
        "id": "Qcivdo2Cea3Y"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Ничего идеального нет\n",
        "\n",
        "Введем несколько определений.\n",
        "\n",
        "*Определение 1:*\n",
        "> Алгоритм кластеризации $a$ является **масштабно-инвариантным** (англ. scale-invariant), если для любой функции расстояния $\\rho$ и любой константы $\\alpha>0$ результаты кластеризации с использованием расстояний $ρ$ и $α⋅ρ$ совпадают.\n",
        "\n",
        "*Определение 2:*\n",
        "> **Полнота** (англ. Richness). Множество результатов кластеризации алгоритма $a$ в зависимости от изменения функции расстояния $ρ$ должно совпадать со множеством всех возможных разбиений множества объектов $X$.\n",
        "\n",
        "*Определение 3:*\n",
        "> Функция расстояния $ρ′$ является **допустимым преобразованием** функции расстояния $ρ$, если\n",
        "  1. $\\rho′(x_i,x_j)\\leq\\rho(x_i,x_j)$, если $x_i$ и $x_j$ лежат в одном кластере; (сужает)\n",
        "  2. $\\rho′(x_i,x_j)\\geq \\rho(x_i,x_j)$, если $x_i$ и $x_j$ лежат в разных кластерах. (растягивает)\n",
        "\n",
        "*Определение 4:*\n",
        "> Алгоритм кластеризации является **согласованным** (англ. consistent), если результат кластеризации не изменяется после допустимого преобразования функции расстояния.\n",
        "\n",
        "---\n",
        "**Теорема Клейнберга о невозможности:**\n",
        "> Для множества объектов, состоящего из двух и более элементов, не существует алгоритма кластеризации, который был бы одновременно *масштабно-инвариантным*, *согласованным* и *полным*.\n",
        "\n",
        "\n",
        "\n",
        "Доказательство: https://www.cs.cornell.edu/home/kleinber/nips15.pdf"
      ],
      "metadata": {
        "id": "dYCuUBIxdLBW"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Решение задачи кластеризации принципиально неоднозначно, и тому есть несколько причин:\n",
        "\n",
        "- Не существует однозначно **наилучшего критерия качества** кластеризации. Известен целый ряд эвристических критериев, а также ряд алгоритмов, не имеющих чётко выраженного критерия, но осуществляющих достаточно разумную кластеризацию «по построению». Все они могут давать разные результаты.\n",
        "- **Число кластеров**, как правило, неизвестно заранее и устанавливается в соответствии с некоторым субъективным критерием.\n",
        "- Результат кластеризации существенно зависит от **метрики**, выбор которой, как правило, также субъективен и определяется экспертом."
      ],
      "metadata": {
        "id": "cHtvuu-MmZIM"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Генерация датасета\n",
        "\n",
        "Два варианта:\n",
        "- sklearn.datasets.make_blobs -- сгенерировать просто точки (сужает количество вариантов используемых метрик качества, но близко к реальной постановке).<details>\n",
        "<summary>на самом деле нет</summary>\n",
        "make_blobs тоже генерирует информацию о принадлежности к кластеру, поищите (thx to GUN1A)\n",
        "</details>\n",
        "- sklearn.datasets.make_classification -- сгенерировать точки и метки для них (метки при обучении не используются, только при оценке качества).\n",
        "\n"
      ],
      "metadata": {
        "id": "D1upCmmxwEMm"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.datasets import make_classification\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "data, data_y = make_classification(n_samples=300, n_classes=2, n_features=2, n_redundant=0, n_clusters_per_class=2, flip_y=0, random_state=110)"
      ],
      "metadata": {
        "id": "KN6LFrtzxe-2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# как видит классификатор\n",
        "plt.scatter(data[:, 0], data[:, 1], marker=\"o\", c=data_y, s=25, edgecolor=\"k\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 435
        },
        "id": "trb4f_qoyj76",
        "outputId": "d033e44a-473d-4d4c-b592-67be880a7a60"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# как видит кластеризатор\n",
        "plt.scatter(data[:, 0], data[:, 1], marker=\"o\", s=25, edgecolor=\"k\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 435
        },
        "id": "7yDNILxqynlh",
        "outputId": "79959c7f-7305-4086-c900-175f267985a2"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Алгоритмы кластеризации"
      ],
      "metadata": {
        "id": "Vk7rMIn9su-x"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## K-means\n",
        "\n",
        "[Описание метода](https://ru.wikipedia.org/wiki/%D0%9C%D0%B5%D1%82%D0%BE%D0%B4_k-%D1%81%D1%80%D0%B5%D0%B4%D0%BD%D0%B8%D1%85)\n",
        "\n",
        "![](https://upload.wikimedia.org/wikipedia/commons/e/ea/K-means_convergence.gif)\n",
        "\n",
        "Шаги алгоритма:\n",
        "```\n",
        "1. Выбрать случайно координаты центроидов для каждого кластера.\n",
        "2. Посчитать расстояния от каждого объекта до центроидов.\n",
        "3. Посчитать центр масс (центроид) каждого кластера.\n",
        "4. Проверить условие остановки, вернуться к шагу 2.\n",
        "```\n",
        "\n",
        "От начального выбора центроидов зависит качество и скорость сходимости. Существуют модификации, которые улучшают случайный выбор ([K-means++](https://ru.wikipedia.org/wiki/K-means%2B%2B), например)"
      ],
      "metadata": {
        "id": "i5RdRO5zsvJi"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import KMeans\n",
        "\n",
        "kmeans = KMeans(2, n_init='auto').fit(data)"
      ],
      "metadata": {
        "id": "-oR2xJeiy9jZ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(data[:,0], data[:,1], c=kmeans.labels_)\n",
        "plt.scatter(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], s=100, c='red')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "iqV1JYgXzmjl",
        "outputId": "a790c22a-8224-42f1-a7ca-c5f4da099360"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f09ccd67280>"
            ]
          },
          "metadata": {},
          "execution_count": 5
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Оценка качества кластеризации\n",
        "\n",
        "Меры оценки кластеризации бывают двух видов:\n",
        "- Внутренние -- меры отображают качество кластеризации только по информации в данных\n",
        "- Внешние -- меры основаны на сравнении результата кластеризации с априори известным разделением на классы\n",
        "\n",
        "[Большой список мер оценки](https://neerc.ifmo.ru/wiki/index.php?title=%D0%9E%D1%86%D0%B5%D0%BD%D0%BA%D0%B0_%D0%BA%D0%B0%D1%87%D0%B5%D1%81%D1%82%D0%B2%D0%B0_%D0%B2_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87%D0%B5_%D0%BA%D0%BB%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D0%B8)\n",
        "\n",
        "[Поменьше, но с картинками](https://habr.com/ru/companies/yandex/articles/500742/)\n",
        "\n",
        "Самые частые:\n",
        "- Внутренние: силуэт\n",
        "- Внешние: rand score"
      ],
      "metadata": {
        "id": "Lc-TwmvvsvMU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.metrics.cluster import rand_score\n",
        "\n",
        "rand_score(kmeans.labels_, data_y)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TloAI3D98cc0",
        "outputId": "37daefe1-0131-4f24-b508-2bbb6ab20ebb"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.6305239687848383"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.metrics import silhouette_score\n",
        "\n",
        "silhouette_score(data, kmeans.labels_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "5uLbaNr87_Az",
        "outputId": "76d3ca25-942b-499e-d392-d839d80ba073"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.43210036054559814"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Подбор оптимального количества кластеров\n",
        "\n",
        "Количество кластеров -- обычный гиперпараметр.\n",
        "Т.о. для подбора оптимального гиперпараметра нужно определиться с оценкой качества алгоритма и списком значений для гиперпараметра."
      ],
      "metadata": {
        "id": "xm8PE6sB_W-_"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Метод локтя\n",
        "Существует метод локтя, который использует такую оценку как [ компактность](https://neerc.ifmo.ru/wiki/index.php?title=%D0%9E%D1%86%D0%B5%D0%BD%D0%BA%D0%B0_%D0%BA%D0%B0%D1%87%D0%B5%D1%81%D1%82%D0%B2%D0%B0_%D0%B2_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87%D0%B5_%D0%BA%D0%BB%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D0%B8#.D0.9A.D0.BE.D0.BC.D0.BF.D0.B0.D0.BA.D1.82.D0.BD.D0.BE.D1.81.D1.82.D1.8C_.D0.BA.D0.BB.D0.B0.D1.81.D1.82.D0.B5.D1.80.D0.BE.D0.B2_.28.D0.B0.D0.BD.D0.B3.D0.BB._Cluster_Cohesion.29) (kmeans.inertia_).\n",
        "\n"
      ],
      "metadata": {
        "id": "BFsggJkFEhrX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "inertias = []\n",
        "\n",
        "for i in range(2, 10):\n",
        "  m = KMeans(i, n_init='auto').fit(data)\n",
        "  inertias.append(m.inertia_)\n",
        "\n",
        "plt.plot(range(2,10), inertias)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "z2O9JZkuBiZj",
        "outputId": "58cb05b5-2e0e-4048-b365-3248aa269a5d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f09c82838b0>]"
            ]
          },
          "metadata": {},
          "execution_count": 8
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Метод силуэта\n",
        "\n",
        "Использует понятно какую [метрику](https://neerc.ifmo.ru/wiki/index.php?title=%D0%9E%D1%86%D0%B5%D0%BD%D0%BA%D0%B0_%D0%BA%D0%B0%D1%87%D0%B5%D1%81%D1%82%D0%B2%D0%B0_%D0%B2_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87%D0%B5_%D0%BA%D0%BB%D0%B0%D1%81%D1%82%D0%B5%D1%80%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D0%B8#.D0.A1.D0.B8.D0.BB.D1.83.D1.8D.D1.82_.28.D0.B0.D0.BD.D0.B3.D0.BB._Silhouette.29)"
      ],
      "metadata": {
        "id": "nHNwbBvVC2SD"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.metrics import silhouette_score\n",
        "\n",
        "ss = []\n",
        "\n",
        "for i in range(2, 10):\n",
        "  ss.append(silhouette_score(data, KMeans(i, n_init='auto').fit(data).labels_))\n",
        "\n",
        "plt.plot(range(2,10), ss)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "fQj0_0EaCPXM",
        "outputId": "5876d59a-2f88-4198-f6cd-30a43a3e0d17"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f09c831d180>]"
            ]
          },
          "metadata": {},
          "execution_count": 9
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import KMeans\n",
        "\n",
        "kmeans = KMeans(3, n_init='auto').fit(data)\n",
        "\n",
        "plt.scatter(data[:,0], data[:,1], c=kmeans.labels_)\n",
        "plt.scatter(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], s=100, c='red')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "VErXSafEVudA",
        "outputId": "9ff944e3-3493-4719-a63a-b8ef30a8ef6e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f09c818ac80>"
            ]
          },
          "metadata": {},
          "execution_count": 10
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Алгоритмы кластеризации"
      ],
      "metadata": {
        "id": "ta5U846VsvPM"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Affinity propagation\n",
        "\n",
        "[Хорошее объяснение](https://habr.com/ru/articles/321216/)\n",
        "\n",
        "Affinity Propagation (AP) - это алгоритм кластеризации, основанный на передаче сообщений между точками данных. В отличие от других алгоритмов кластеризации, таких как K-means, AP не требует заранее определенного числа кластеров. Для этой цели двумя важными параметрами являются \"preference\", которые контролируют количество экземпляров и \"damping factor\", который снижает ответственность и доступность сообщений, чтобы избежать числовых колебаний при обновлении этих сообщений. Подбираются через поиск по сетке.\n",
        "\n",
        "---\n",
        "\n",
        "Шаги работы алгоритма Affinity Propagation:\n",
        "1. Инициализация: Создайте матрицу сходства S, где каждый элемент s(i, j) представляет сходство между точками данных i и j. Обычно сходство определяется как отрицательное квадратное евклидово расстояние. Затем инициализируйте две другие матрицы: матрицу ответственности R и матрицу доступности A, заполнив их нулями.\n",
        "\n",
        "2. Обновление ответственности: Обновите матрицу ответственности R, используя текущие значения матрицы доступности A и матрицы сходства S. Ответственность r(i, k) отражает насколько подходящим является объект k в качестве экземпляра для объекта i.\n",
        "\n",
        "3. Обновление доступности: Обновите матрицу доступности A, используя текущие значения матрицы ответственности R. Доступность a(i, k) отражает насколько подходящим является объект i для выбора объекта k в качестве экземпляра.\n",
        "\n",
        "4. Сходимость: Повторяйте шаги 2 и 3 до тех пор, пока не будет достигнут критерий сходимости. Обычно это означает, что значения матриц R и A стабилизируются после определенного числа итераций.\n",
        "\n",
        "\n",
        "Выделение кластеров: После сходимости определите кластеры, выбрав для каждого объекта i экземпляр k, который максимизирует сумму ответственности r(i, k) и доступности a(i, k).\n",
        "В результате работы алгоритма Affinity Propagation получаем кластеры с автоматически определенным числом кластеров и экземплярами, представляющими каждый кластер.\n"
      ],
      "metadata": {
        "id": "82ENlsbJEyeN"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import AffinityPropagation\n",
        "\n",
        "clustering = AffinityPropagation(preference=-42).fit(data)\n",
        "\n",
        "plt.scatter(data[:,0], data[:,1], c=clustering.labels_)\n",
        "plt.scatter(clustering.cluster_centers_[:,0], clustering.cluster_centers_[:,1], s=100, c='red')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 453
        },
        "id": "CyL47na4FCv_",
        "outputId": "e54c4d3e-5ebf-4a0b-86e5-07d7247a0cec"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f09c81b6020>"
            ]
          },
          "metadata": {},
          "execution_count": 26
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## DB-SCAN\n",
        "\n",
        "\n",
        "- Находим точки в $\\epsilon$  окрестности каждой точки и выделяем основные точки с более чем minPts соседями.\n",
        "\n",
        "- Находим связные компоненты основных точек на графе соседей, игнорируя все неосновные точки.\n",
        "\n",
        "- Назначаем каждую неосновную ближайшему кластеру, если кластер является $\\epsilon$ -соседним, в противном случае считаем точку шумом."
      ],
      "metadata": {
        "id": "kaUy2vRksvU2"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import DBSCAN\n",
        "import numpy as np\n",
        "\n",
        "dbscan = DBSCAN().fit(data)\n",
        "\n",
        "print(np.unique(dbscan.labels_))\n",
        "plt.scatter(data[:,0], data[:,1], c=dbscan.labels_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "id": "RqqFotsNFzw2",
        "outputId": "524b6760-8a53-4944-9ee5-87f557c3f273"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[-1  0]\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f4b13c8d9f0>"
            ]
          },
          "metadata": {},
          "execution_count": 188
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "dbscan = DBSCAN(eps=0.1, min_samples=4).fit(data)\n",
        "print(np.unique(dbscan.labels_))\n",
        "plt.scatter(data[:,0], data[:,1], c=dbscan.labels_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "id": "XBDiMB8QGIlH",
        "outputId": "613ad57f-a81a-4551-c735-be7787508bee"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[-1  0  1  2  3  4  5]\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f4b13aa8280>"
            ]
          },
          "metadata": {},
          "execution_count": 189
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.neighbors import NearestNeighbors\n",
        "\n",
        "nbrs = NearestNeighbors(n_neighbors=4).fit(data)\n",
        "distances, indices = nbrs.kneighbors(data)\n",
        "distances"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HKKqCwemGd2M",
        "outputId": "bf41c2a0-e74a-4ce2-e915-37ffe1f3dd00"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0.        , 0.14075262, 0.36792915, 0.44996652],\n",
              "       [0.        , 0.03239929, 0.03600522, 0.07527797],\n",
              "       [0.        , 0.11009673, 0.19382091, 0.21479119],\n",
              "       ...,\n",
              "       [0.        , 0.28260111, 0.32034932, 0.33287071],\n",
              "       [0.        , 0.03065035, 0.05157891, 0.06290576],\n",
              "       [0.        , 0.05460523, 0.06462845, 0.07566198]])"
            ]
          },
          "metadata": {},
          "execution_count": 190
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "distances = np.mean(distances, axis=1)\n",
        "distances = np.sort(distances)\n",
        "# distances\n",
        "plt.plot(distances)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "zss9TmYSGikh",
        "outputId": "42c46115-4f3e-494d-8163-4aa583bc9522"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f4b13b87e80>]"
            ]
          },
          "metadata": {},
          "execution_count": 191
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "dbscan = DBSCAN(eps=0.35, min_samples=4).fit(data)\n",
        "print(np.unique(dbscan.labels_))\n",
        "plt.scatter(data[:,0], data[:,1], c=dbscan.labels_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "id": "SV6hzRzKGn-f",
        "outputId": "26dd94c4-b1d0-42a6-fbd6-d169b0cb2e66"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[-1  0  1  2  3  4  5]\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f4b13ccc940>"
            ]
          },
          "metadata": {},
          "execution_count": 219
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Gaussian Mixtures, EM"
      ],
      "metadata": {
        "id": "0G3yNgZtNO3u"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.mixture import GaussianMixture\n",
        "\n",
        "gm = GaussianMixture(n_components=3).fit(data)\n",
        "\n",
        "gm.predict(data)\n",
        "\n",
        "plt.scatter(data[:,0], data[:,1], c=gm.predict(data))\n",
        "plt.scatter(gm.means_[:,0], gm.means_[:,1], s=100, c='red')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "Ab3QAMs1NePf",
        "outputId": "fd147c3d-ea41-436a-8cc8-eefc591e8d7a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f4b13542e00>"
            ]
          },
          "metadata": {},
          "execution_count": 193
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Иерархическая кластеризация\n",
        "\n",
        "https://scikit-learn.org/stable/modules/clustering.html#hierarchical-clustering\n"
      ],
      "metadata": {
        "id": "yUQm3x2msvSC"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.cluster import hierarchy"
      ],
      "metadata": {
        "id": "P1OKY15nFtOt"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "clusters = hierarchy.linkage(data, method=\"ward\")\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "dendrogram = hierarchy.dendrogram(clusters)\n",
        "# Plotting a horizontal line based on the first biggest distance between clusters\n",
        "plt.axhline(25, color='red', linestyle='--');\n",
        "# Plotting a horizontal line based on the second biggest distance between clusters\n",
        "plt.axhline(15, color='crimson');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 522
        },
        "id": "XVZw_LW-FjzX",
        "outputId": "93a09aff-b258-4486-e1a9-e9434c1663af"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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iRERERFR7mBtTeP369SVeL168GO7u7jhw4AA6dOiAzMxMfPTRR1i6dCm6dOkCAPjkk09Qr1497NmzB61ataq6mhMRERFRrfFAfTozMzMBAM7OzgCAAwcOoKCgANHR0doy4eHh8Pf3x+7dux9kVkRERERUixnV0qmruLgYkydPRtu2bREREQEAyMjIgKWlJRwdHUuU9fDwQEZGhsHp5OXlIS8vT/v61q1bla0SEREREdVQlW7pHDduHH777Td88cUXD1SBOXPmwMHBQfvl5+f3QNMjIiIiopqnUqFz/PjxWL16NbZu3QpfX1/t7z09PZGfn4+bN2+WKH/58mV4enoanNaMGTOQmZmp/Tp//nxlqkRERERENZhRoVNEMH78eHzzzTf44YcfEBQUVOLvUVFRsLCwwJYtW7S/+/PPP3Hu3Dm0bt3a4DRVKhXs7e1LfBERERHRo8WoPp3jxo3D0qVL8e2338LOzk7bT9PBwQFqtRoODg5ITU3FlClT4OzsDHt7e0yYMAGtW7fmyHUiIiKix5hRoXPRokUAgE6dOpX4/SeffIKRI0cCAN58802Ymppi4MCByMvLQ48ePfDOO+9USWWJiIiIqHYyKnSKSLllrKyssHDhQixcuLDSlSIiIiKiRwufvU5EREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcUaHzh07dqBfv37w9vaGiYkJVq1aVeLvI0eOhImJSYmvnj17VlV9iYiIiKgWMjp0ZmVlITIyEgsXLiy1TM+ePXHp0iXt17Jlyx6okkRERERUu5kb+4ZevXqhV69eZZZRqVTw9PSsdKUAoDgrB8VmFg80jepUXFAIq4L8uz9n56C4wOhVTVSjcJ8mqjgeL/SoK87KMfo9ihwF27Ztg7u7O5ycnNClSxe8/PLLcHFxMVg2Ly8PeXl52te3bt0CAJyJiIWdae0+SNf87/vlJW9Uaz2Iqgr3aaKK4/FCj7LbxYVGv6fKBxL17NkTS5YswZYtW/Daa69h+/bt6NWrF4qKigyWnzNnDhwcHLRffn5+VV0lIiIiIqpmJiIilX6ziQm++eYbxMbGllrm1KlTCA4OxubNm9G1a9f7/m6opdPPzw83LmbA3t6+slWrdtkFhWg2ezMAYP+L0bC2qN2ttkTcp4kqjscLPepu3boFJ29PZGZmVjivKX4U1KlTB66urjh58qTB0KlSqaBSqe77vamNGqY2aqWrpxjT/ELkWlje/dlaDVNLnnCoduM+TVRxPF7oUWdaVGD8exSoRwkXLlzAtWvX4OXlpfSsiIiIiKiGMvpfrzt37uDkyZPa16dPn8bhw4fh7OwMZ2dnzJo1CwMHDoSnpyf++usvPPvsswgJCUGPHj2qtOJEREREVHsYHTr379+Pzp07a19PmTIFADBixAgsWrQIR44cwaeffoqbN2/C29sb3bt3x+zZsw1eQiciIiKix4PRobNTp04oa+zRhg0bHqhCRERERPTo4bPXiYiIiEhxDJ1EREREpDiGTiIiIiJSHEMnERERESmOoZOIiIiIFMfQSURERESKY+gkIiIiIsUxdBIRERGR4hg6iYiIiEhxDJ1EREREpDiGTiIiIiJSHEMnERERESmOoZOIiIiIFMfQSURERESKY+gkIiIiIsUxdBIRERGR4hg6iYiIiEhxDJ1EREREpDiGTiIiIiJSHEMnERERESmOoZOIiIiIFMfQSURERESKY+gkIiIiIsUxdBIRERGR4hg6iYiIiEhxDJ1EREREpDiGTiIiIiJSHEMnERERESmOoZOIiIiIFMfQSURERESKY+gkIiIiIsUxdBIRERGR4hg6iYiIiEhx5tVdASIienSJCCQnp7qr8dAV5xfd+zk7B8WFZtVYm+pholbDxMSkuqtBNQhDJxERKUJEcDZpCHIOHaruqjx0uWaWQL//AwCcaNsOVkX51Vyjh0/dtCkC/vs5gydpMXQSEZEiJCfnsQycAGBVlI91q6ZVdzWqVc7Bg5CcHJhYW1d3VaiGYOgkIiLF1d21E6ZqdXVXgx6C4pwcnGjbrrqrQTUQQycRESnOVK2GKVu8iB5rHL1ORERERIpj6CQiIiIixTF0EhEREZHiGDqJiIiISHEMnURERESkOIZOIiIiIlIcQycRERERKY6hk4iIiIgUx9BJRERERIpj6CQiIiIixTF0EhEREZHiGDqJiIiISHEMnURERESkOIZOIiIiIlIcQycRERERKY6hk4iIiIgUx9BJRERERIpj6CQiIiIixTF0EhEREZHiGDqJiIiISHEMnURERESkOHNj37Bjxw7MmzcPBw4cwKVLl/DNN98gNjZW+3cRwcyZM/HBBx/g5s2baNu2LRYtWoS6detWZb0NEwEKspWfT0XkF+n8nA3ArNqqUoKFNWBiUt21ICIioseM0aEzKysLkZGRSElJQVxc3H1/nzt3Lt566y18+umnCAoKwosvvogePXrg2LFjsLKyqpJKGyQCfNwDOL9XuXkYQ1QAPrn787wQwCSvWquj5dcKSFnP4ElEREQPldGhs1evXujVq5fBv4kIFixYgBdeeAExMTEAgCVLlsDDwwOrVq3CoEGDHqy2ZSnIrjmBE4C1SR7OWCVVdzXud37P3XVlaVPdNSEiIqLHiNGhsyynT59GRkYGoqOjtb9zcHBAy5YtsXv3boOhMy8vD3l591oBb9269eAVmXYSsLR+8Ok8SvKzgfkh1V0LIiIiekxVaejMyMgAAHh4eJT4vYeHh/Zv+ubMmYNZs2ZVZTXuBk625BERERHVGNU+en3GjBnIzMzUfp0/f766q0REREREVaxKQ6enpycA4PLlyyV+f/nyZe3f9KlUKtjb25f4IiIiIqJHS5WGzqCgIHh6emLLli3a3926dQt79+5F69atq3JWRERERFSLGN2n886dOzh58qT29enTp3H48GE4OzvD398fkydPxssvv4y6detqb5nk7e1d4l6eRERERPR4MTp07t+/H507d9a+njJlCgBgxIgRWLx4MZ599llkZWVh9OjRuHnzJtq1a4f169cre49OIiIiIqrRjA6dnTp1goiU+ncTExP861//wr/+9a8HqhgRERERPTqqffQ6ERERET36GDqJiIiISHEMnURERESkOIZOIiIiIlIcQycRERERKY6hk4iIiIgUx9BJRERERIoz+j6dVAEiQEF2ddeipPxswz/XBBbWgIlJddeCiIiIFMTQWdVEgI97AOf3VndNSjc/pLprUJJfKyBlPYMnERHRI4yX16taQXbNDpw10fk9Na9lmIiIiKoUWzqVNO0kYGld3bWoufKza16rKxERESmCoVNJltaApU1114KIiIio2vHyOhEREREpjqGTiIiIiBTH0ElEREREimPoJCIiIiLFMXQSERERkeI4ep2IiKgGEhFITk51V8NoxTp1Lq6F9TdRq2HCh5UogqGTiIiohhERnE0agpxDh6q7Kg/kRNt21V0Fo6mbNkXAfz9n8FQAL68TERHVMJKTU+sDZ22Vc/BgrWxhrg3Y0klERFSD1d21E6ZqdXVX45FXnJNTK1tmaxOGTiIiohrMVK2GqTUfqUy1Hy+vExEREZHiGDqJiIiISHEMnURERESkOIZOIiIiIlIcQycRERERKY6hk4iIiIgUx9BJRERERIpj6CQiIiIixTF0EhEREZHiGDqJiIiISHEMnURERESkOIZOIiIiIlIcQycRERERKc68uitARJUjIsgpzHlo88suKNL5OQcwMXto81abq2FiYvLQ5kdERFWPoZOoFhIRDF83HIf/Pvzw5llsAWA2AKDT8o4wMS14aPNu4t4En/b8lMGTiKgWY+gkqoVyCnMeauAEABPTAtjVm/5Q56lx6Moh5BTmwNrCulrmT0RED46hk6iW25a4DWpzdXVXQxE5hTnotLxTdVeDiIiqAEMnUS2nNlezBZCIiGo8jl4nIiIiIsUxdBIRERGR4hg6iYiIiEhxDJ1EREREpDiGTiIiIiJSHEMnERERESmOt0wiInpEiQgk5+E9KlVfsc68i6uxHgBgouajVImqG0MnEdEjSERwNmkIcg4dqu6qAABOtG1XrfNXN22KgP9+zuBJVI14eZ2I6BEkOTk1JnDWBDkHD1Zrqy8RsaWTiOiRV3fXTpiqH81HpZanOCen2ltZieguhk4iokecqVoNU2s+KpWIqhcvrxMRERGR4tjSSRUnAhRkV9308rMN/1wVLKwBDhggIiKqMRg6qWJEgI97AOf3KjP9+SFVOz2/VkDKegZPIiKiGoKX16liCrKVC5xKOL+naltliYiI6IGwpZOMN+0kYFlDByXkZ1d9qykRERE9MIZOMp6lNWBpU921ICIiolqEl9eJiIiISHFs6SSih0JEkFNo3BNhdMsb+14AUJvzedtERDVFlYfOl156CbNmzSrxu7CwMPzxxx9VPSsiqiVEBMPXDcfhvw9Xehqdlncy+j1N3Jvg056fMngSEdUAirR0NmjQAJs3b743E3M2qBI9znIKcx4ocFbWoSuHkFOYA2uLGjrwjYjoMaJIGjQ3N4enp6cSkyaiWm5b4jaozZV9DnhOYU6lWkaJiEg5ioTOEydOwNvbG1ZWVmjdujXmzJkDf39/g2Xz8vKQl5enfX3r1i0lqkRENYTaXM2WRyKix1CVj15v2bIlFi9ejPXr12PRokU4ffo02rdvj9u3bxssP2fOHDg4OGi//Pz8qrpKRERERFTNqryls1evXtqfGzVqhJYtWyIgIADLly9HamrqfeVnzJiBKVOmaF/funWLwZMeS8aM7q7sqG6O5iYiouqi+AgfR0dHhIaG4uTJkwb/rlKpoFKplK4GUY32IKO7jem7yNHcRERUXRQPnXfu3MFff/2FYcOGKT0rZYgY9wzv/GzDP1eUhTXAQPDYeVijuzmam4iIqkuVh85p06ahX79+CAgIwMWLFzFz5kyYmZlh8ODBVT0r5YkAH/cAzu+t3Psr8wxwv1ZAynoGz8eYEqO7OZqbiIiqW5WHzgsXLmDw4MG4du0a3Nzc0K5dO+zZswdubm5VPSvlFWRXPnBW1vk9d+fLZ5s/tji6m4iIHkVVHjq/+OKLqp5kzTDtJGCpYBDIz65cyygRERFRLcBHBVWUpTVbH4mIiIgqiaGTiIiIqpSIQHIqfju3mqBYp77FtazuGibqmn1bPIZOIiIiqjIigrNJQ5Bz6FB1V6XSTrRtV91VqBR106YI+O/nNTZ4VvkTiYiIiOjxJTk5tTpw1mY5Bw/W6BZmtnQSERGRIuru2glTddXeAo7uV5yTUytaZxk6iYiISBGmajVMrXkLOLqLl9eJiIiISHG1q6WzrEdSVvTxk3zMJBEREdFDV3tCpzGPpCzrJut8zCQRERHRQ1d7Lq9X1SMpNY+ZJCIiIqKHpva0dOqqzCMp+ZhJIqJarTI3HK+KG37X9BtuE9UWtTN08pGURESPlaq44XhlbylT02+4TVRb1J7L60RE9NiqzhuO1/QbbhPVFrWzpZOIiB5bD+uG47XlhttEtQVDJxHVGiKCnMLyW5x0y1SkvIbanH33agPecJyodmLoJKJaQUQwfN1wHP77sFHv67S8U4XLNnFvgk97fsrgSUSkAIZOIqoVcgpzjA6cxjp05RByCnNgbcFWNHo4ShuRX96oe46op9qIoZOIap1tidugNq+6Pn05hTlGtYgqqTK3BTKkKm4VpIshp+pVdES+oX6lHFFPtRFDJxHVOmpz9SPZGlkVtwUypCoGwzDkVL0HGZGvGVFvwr6tVIswdD5MD/rseD43nuiRVp23BSoPQ46yKjoinyPqqTZj6HxYquLZ8XxuPNFj42HdFqg8DDkPB0fk0+OAofNhqYpnx2ueG8+nMVEtoHt7I0O3MOLticrGEEJEjxqGzupg7LPj+dx4qmXKur2RZsAOb09ERPR4YeisDnx2vHHK6gurryJ9Yw1hf9kqVZHbG/H2REREjxeGTqrZjOkLq8+Y1mH2l1WM/u2NatLtiYiI6OFh6KSarSr6wlYE+8sq5lG9vRERERmHoZNqD2P7wlYE+8sSERE9FAydVHuwLywREVGtZVrdFSAiIiKiRx9bOomIiIiqgYhAcnLKL1iOYp1pFFfB9EzUytxHmaGTiIiI6CETEZxNGlLlj76tiieIqZs2RcB/P6/y4MnL60REREQPmeTkVHngrCo5Bw9WSQusvsenpVPE8M9ERERE1ajurp0wVavLL6iw4pycKmkpLc3jETpFgCUx914viQXSNvFG4PTI0H3OuSGGnn1uCJ+HTkT08Jmq1TC1fvTvZ/x4hM6CbCB9/73X6ft4I3B6ZJT1nHNDynoaEJ+HTkRESnk8QifRI6wizzmvKD4PnR51xowWrsyIYKVG/RI9Chg6iR4h+s85ryg+D50eBw8yWrii/dyUGvVL9Chg6CR6hPA550SlexijhTWjfk0eg/55RMaquaFTBMjPuvc6P9vwzxbWHBBEROUqa7DV4zTQytibUT/ITadr8qXmqh4trPSoX6VU1c3JdVX1jcr11eT9ispWc0PnZwOAqwcM/21+yL2f/VoBKesZPImoVMYMtnqUB1o96M2ojQ1VNflS8+MyWrgsSt2cXJcSQbwm71dUtpobOtP3A6oK7FDn93AkOlWMyN19RVdpLei62Jpe61XVYKvaPtDqYd+Mmpeaa7aafHPysnC/qr1qbujUmHYSsDSwY+Vnl2zxJCqLCPBxD+D83tLLlLY/sTX9kVKZwVaP4kArJW9GXVsvNT/OasrNycvC/Uo5mm4WhrpGVGV3hpofOi2t2YpJD64gu+zAWRa2pj9SONjqLl5eJl3cHx5fpXWz0AT8quzOUPNDJynP0GVnfRW5DK2vpl6WLq31XJ+Cren6g1rKG8hSVQNYShtMU5GBNA97EE1F19GjMLiHiKi6lNfNoiq7MzB01jSV6Xf4IOGuIped9VU0iNXUy9LV3Hpe3qAWQ5dxq2IAS0UH05R2GflhDqIxZh3V9sE9RGXRH11e1shwjuqmB6XbzUKJ7gwMnRo1YZBJZfsdPki4e5DLzuXhZWmDKjOopSoGsDzoYJqHOYjGmLrW9sE9RKUpb3S5fiDgqG56UEp3s2DoBGrOIJPKBsCqCncVvexcnspeln7Yrbw1QHmDWpQawGLMYJrqHkRTWl2VrJcx3R94eZ+UYuzoco7qppqudoVO3VBSVhgxNojUxEEmFQmAVd3nsDovO1dHK28NUF2DWqprvobCXHmh7WHX1djuD7y8/3h62Je9yxpdXhtHdVfmpvRVcdN5JbogVPYG+zV1eZRUe0JnWaFEP4w8SBCpAYNMAJQdAMtrEayNrX/V2cpb2kCqR7yV9WEzFOY6Le9U40Kbsd0QeHm/6hn6EK9JfRmr6rK3iGh/Ls7JKXM5HqXR5VVxU/rKhuyq7oJQVTfYrynLo7TaEzqNCSUPEkRq+i2aSgvfj9JTmh5mK29FB1I9gq2sZdFtkayqUeOlhbmaHNrK6oZQ3d0OqltZrTsVbcExFLIq8iFe3X0Zq+Kyt4jgXHKK9vWJtu2gbhwJv48+gqm1da0JEZVRnTelzzl4EEXXr5d5T1Jj/omp7hvs17YuFbUndOqqbTeMF7m/1ayyrWQVCd/VMYCnvK4Pxizvwwz+NbFrRQVpgqGhUPgg/QzLurxcVaPGtyVuu296SnjQdaTUpf3SAltFwlpNuJxmTOtOWS04hsJiZT7ES/vgNeYSOFC5dVvZy96Sk4PcI0dK/C7n8C84HtVMu14eBw96U3pNeNdfl2Upr1Wxsv/EPMwb7NfGLhVAbQ2dNb01UpehlrT5IVXTSqYfvqsrdFek60NtaBWsKV0rKqC0YKgJcQ8SCCt6eflBWiiNfSJQZSi5jh60XhUJbKV9oNSEy2lV1bpTXitNeR/iZYY6Iy+BA5Vbt0pc9tasl/KU9hSZmvCPSUU96Porzs42KnBWRGVbDx+VLhBKPp2odobO2qS0lrSqaCXTDd9V2ZpqrJra+mosY/vRAor2pS1r0E15wbCqLlkburxcEy4rlza6XLf18mGtI2M9aGAz9gNRt7VPiX6RlWndqWgrzYN8iFe2xVT30uvDDm/Bmzfhr+huFSpb1lNk9MPzg7SsAzWjdb0iHrSlsba2HlYlEcE5BZ9O9HiHTk2QqEhY0w8dlRk9P+3k3e/6rWTG1KO05VCqNdVYNaX1tSpVdBBbOeu7tEu9hi7zljfoRpduMKzqQFgdo9zLG+Fe2roBSm+9rKp1VNV9XY35kKzMB2JZrX1V1S+yulp3RKTCLXy667m8y7G66+VhtyobE5jKCtW6/5g8aMs6UDNa1yviUWlprE6Sm6vo04ke39BZ1oAc/fBQ3mCTio6eN3Tp1ph6lEbJ1lRjldf6CtS+Ud8V7fdZxvou61KvoaBU3qAbXQ8zGFbmlkfGTr+8Ee5ltWCW1nqpNldDba6+b90ZU38l+rpW5EOyvJHcZbVCGdPa9zAGJFTV5WBDQcpQC5+G7no25nJsbRmkoQnVhv4xqYquELVlPVSWkpeTH1R19v9W4ulEj2/oLMgpPUjohwdjB5sYE/bKmnZlQmNpram6qnLQT1nzMNT6Cjx4C2x1hllD/T4r0JpbmaCk8aCDboxpYS1vOhW55ZF+MNW9LUx5jB3hrmnBLK/10tjQb0zdKlrXyijrEqpGRVuhSmtVfViXFI25HFzutEoJUsaGo+peJ1Wloi18xl5+rm3roTLKO8bK66pQWvirirBa3f2/NfuViAAG/lGsjMc3dOrSBImKXAoubbCJCJB9Dfh3o7uvNZfH9csU5JR8rbszGFOP0pQ3EKYil4p9mwPDVt2tmxKj7B+kBbayYVY3+BgRgu4LuEDJdVKJAFzRoKTxIINuygpbjdwa4f3o92FtUfL2LLohsSL9SHVDlqH5jd48Gp/3Mn4k7rbEbRARdP6qc4m66DLUgmmoXG5RbqVDf2l1052HiOBG3g30WtlLWwdN/fQ/rIxpTalIK1VFg5ahYFLah4kSLTsVvRxsrLq7dgIo+cGrf+m9tH98HrfLsWUtb3k3OH+QPsBVfSP9quynXN4xZkxXharumvGw+38brEMZVxWcFr1j9PRqfujUnCx0TxqG+jvqf/gbEywsre9OryLvNzTYpKw+lUNX3Pvdkhggfb/O61hg+Kqy66EfYgytB/266AZb/XVVkVbbC/uAOT53f66KAFpWmC6tP6uG/jzLC7NZVwEb1/v3jSUx914viQXSNt0/L/11VV5fWaBSAbisoFQV/xnr/lxW69yRv4+g1bJWJVr6RASjNo3SlimrH6nm77oMze/I30eQU5hzX93036c2V5f4vcpUhdGbR99Xl0VdF5WYTmmtr7rl9OteVugvLXTr0u3SUJE+pgDKbk2pwP0Z9fslFt24oR10or8+K3IZ29hL1BX5oK9oENEsS1F2Nk62a39v+gb6aZY3XVN1yf2muLgYF/SW61xKKgK/WFbhMFMVl1mN6XNaVco6xsp7n1L3Rq3q58cb1U/5f8eViYlJhdZ9eZeTje2uYuh+oEoM2BMRSG6u9nVxTo723PCgtwYr66qCYyWeolTzQ+eSWCB1Y8nQoN/f0VA40ASL0las7gFZXGz8+3WV2adSZ6PoBk4ASN93f9AtK8QkrzO8HsoKtvND7gbHlI2AqWnJ+VfkUrxuAC0tSOm3Iur/A2ChvhvUDZV7kBvdTzsBLBt8//Lqv6cgu2SZ9H1AfhbweVzZg6/K6ysLGB+AUfHL1PrvMfQzULJlTzcwjt48Gu9Hv699vS5unbYlTpduS19OYQ5+vfqrwb/r0g+I13Ov31c33fnph1ndnzXL39itMYqk6F6ZzaPw29Xf7qtLbtG9k2tpLZj65fTrXlbraGmh29gWYE09cgpzYFWAsltT9O7PqPkHwFDLDYD7RpfqhqqKXsY25hJ1RT/oK3pzc1O1GiZqNS6MTNb+7mxyCkzNzO4LweVNV/8m6+dGJiPvt5L7Te4vv5RordLQDYLGXmYti7GB3liGWnLvWw//2ycqNL0qvDfqg05bN6wZfHiAMcHvf8cVULHtZ8zl5Lq7dsLEyqrCg9I0jAnrFWm5LW20eWXroP9Zo1vG0FUFY5mWX6Sape+7e9laP7BpPtQ1LWX6H/7p+wzf4kZjWeK9nz/tX/b79VsXy/oPctrJe2GuNF6R935e+sS9n8vrZ1raeigr2AJ3g+OHXe+Ga12W1ncDocbEX8qut+4619BvRfw05m6Q1A2On/YDiorub23Mz6rYrZb056llYnh5dUNhaUpb16XNb9rJuyFXQxOaNaYeB3yalXzP/BDg4573TausoHQ997rBViv9wKYfjEasH4HsguwSgfHI30dKBC/dy8HbErdpWytLsy5u3X310CguLi5Rh14re6Hl0pYlWiatzKy0P+uH2V+v/npfuD389+ESv9MNnPp1MVSnrQlbsTVhq8G/6b9n+LrhJVo5S1uHwN3tkl2QbXCd689jW+I27E3aW+a6Dd68qdS/aT7INaFF9+R+om07nB0yFMXZ2fd9wGhCFVCxy9j66u7aiZCdP2pfa5ZLRFCcnY2i69cr9EGv+ZA/O3gwirKyymxt0785et6RI6XXWzPdIUPvPz5yc0tORydw1tm0scQyGXoKkGaaFb3MaqgF8746lRHoi67ff4yXRj8ga5ZBf984l5J63wCp3F9+QXF2drl11Vd3106EHTxg8Cv0wP4S+29p09PsN/rzD968CXV37UTogf3a6Vk1anTf+0+0bYc/m0YZ3N6G6qoJQ2Wp6Lov69jTfa/p/wKgsfcI1dSjODu7zHNUReoAVP4fhtLqcP6pMdqfz6Wk3r/MVvfO68a0pmunYfQ7KmjhwoUIDAyElZUVWrZsiZ9//rlqJqwb2Ax9qE88fO/nsgLiRZ2NdOmg4fdrgoV+6+JH3YDbV+6GJv3p6wc5Q/O/pBPudOetW3baCeD5i/cHHY1J5QREfRcPAh91Lxk8i4tLLttX91odMO0kMCPdcJD6qBuQd+de4NcNfhf33x/mLh4EPow20NqoEwynnTA8P808DYS3EioS9kt97wnAu+n989NdV+ZWd1tVNT6NKbnulg4qPQDnZ5X4le6B+kP8D2jg0kD7WhNminXmXZHAVlrLXmktpLqBUP9vhsroh8xRm0fdVwfgbtDVGP/DeO3PE7ZOuK+sRmmBsrS66NZVdx4Tt07ExK0Ty51nWaFft/VTt165RbmlhlH99Wrovqb6J24NzYemfuAzFCyBux8Wuh/ihkKV7t9Ddv5ocPq63wEAKhUujB2nfXkuJRXFxcU4mzQEfzaNMtiyYdUwAsE/7rjv94DhkGgoQJVGd7lKTPfgwfs+KMuazsWnp5RcJgMj1w1NM3jzJm0w0l13mnVyXxgoI2RbRUSUeK0pX6zfCKC3LMXFxQYDcmn/dBi6jHouJdVgXTXz1obDUi7Bmlpba79M1GqcTxtV4j6ihpZFE5j+bBp1377zV3Q3nGjbDudHjda22pUV2vSDov7+bWJldbduOkEoZOePZYZZ/eCm/3NZ/zDoty7rB2rNPqMb0ssM1aXsN2XWITv73vwNhPrK1EF3++n+06a/X+nvk+fH3Tv/VpQiofPLL7/ElClTMHPmTBw8eBCRkZHo0aMHrly58uATv6QXts7vKRlevr63QioUVvTpvl/TGqcfJi7sA16vC/yf9/3hRD/I6bZklmepTuvrsiTAXF0y6OhOS7cvZ0WXL30fsKTfvdef9i+5bLoBWDMgqbSW0zk+d8OngROnQbrT1limt7wihucH3Atv+q2sGhZ6fV3u/H33y9A/BvrvFdwNxvrzK2tdXdxf+rrTDbDA3ZZenfVUIihtm4ij146WKH7oyqESAa+swLZ2wFqdRbp/OSf8cO+9utMZtWlUiZa+tE1pyMovefLTrad+yNS/7G2I7nKVVb4iA6VKC7C689AP47rzLO1DZmvC1hKhX3fapQXdes71tD/rtzqP2jTKYCvq6E33WoDv205WViUC39nklBIndlVERIngotsSoRuqzian3BeILowbf9/0NYFS/5K0fitZea2bub/+hgtjxpb6d0CnRcVAgDqXklrq+9J1lkt/+fXXj+76uK+Oeh+guv3eVPXrlzrNv6K74XxqKkQ/jI9MNhwG/heyzzzxxH0hIve3+/f9nMO/4JxO1wKNC7qtTHrbBLg/+Ogug6H1kPvL/Y0TOYd/wdnBSSgqKsKZQYPvC4aaMHJm0GAUXL2qDeSl/iP0v+lp/umpSKt4WUE/9MD+EttbG+qLiu5v4R05EkVFRSW23YVx4yEipYbZnIMHUZCefjew6R8H/zs2tHX6cUepx9655JT7AvW55OS7l6R1BmyVGao1+43eui6xXvTqcC4ltdRtp1sH4F53nPLqYGhfNLjMevtk3q/3NzyUx0Qq0z5ajpYtW6J58+b4z3/+A+BuOvbz88OECRMwffr0Mt9769YtODg4IHO6HexV/+tLMO3k/f0OvSLvBVCvpoZDjYah91dURd7r3eRey2l5damqeXs3vReUqnKeGjPSS/YP9WwMZBy+v1xVzlt3PQKAdzMAxfeW07sZYIJ7ddKdt0+z0gOrT/O7gbu0eelOZ9IvwL8jUdWyfZqhpWXZ/3SV1ueyLA1cGmiDV4RrRIXCYFkauTUq0Vr5MGxL3Kb4E45KW09lzbsq160qX/DZ63f7q6oiIkq0JlhFRhoMB1Wl7q6d97VUGvqdvvvq2TACvosWaQf+lMYqIuK+oKX0MlZURZZbl/46qChDy2vM04buq0f9+sg7dqzSdTI0b2OmY9WkCVBUpA0cuvXRCD2wH+dSUkvdzqpGjWBSXKzdN1SNGsEEJQORpu+uph9mRepr6Pf6v9Oft3a5DGwn3fdWdvurmzaF/+ef4eygwffW2f+CY3nTu29dV2D5KjotY99fnjtFRWhx8gQyMzNhb29fofdU+UCi/Px8HDhwADNmzND+ztTUFNHR0di9e/d95fPy8pCXl6d9nZmZCQC4laeThW/dBvL0svGZwzo/H7i/Ik/tAt5tW/r7K6oi7z2tE7oM1aWyypr3aZ35VOU8Na5dAU7pBLWzpfznWpXzPq0XXk/vK/u17rxP6f1N1ykDXTtK22Y5xZXfV8qQfWo/igJ8yixTmF2IopyiMsvoO3Lh3snkl/MP/qF+6JxxfYOqwu1bt41ebmOVtp7KmndVrtuifMGdorvzuaP3IXfnYBX/wwgg6Ltvcbr/3Ssut27f1s5bw9Dv9N1Xz8O/wOHOHaPfB5RcRt26PWwVWW5dhpalQu8zsE3vFBYaNe8S79VpUapMnQzN25jp3Nlf8h/6OwZauDL//htXy9iX7+i1fuq/BoA7Bw7C/u+/Da6n0uprcH/T33dLaXk1uJ103lvp7b9vH+zPncNVnflWdFr3resKLF9Fp2Xs+8udfvHd7WRU26VUsfT0dAEgP/30U4nfP/PMM9KiRYv7ys+cOVNw9wInv/jFL37xi1/84he/atHX+fPnK5wRq/2WSTNmzMCUKff67xQXF+P69etwcXGp8c95JSIiInociQhu374Nb2/vCr+nykOnq6srzMzMcPny5RK/v3z5Mjw9Pe8rr1KpoFKpSvzO0dGxqqtFRERERFXIwcHBqPJVPnrd0tISUVFR2LJli/Z3xcXF2LJlC1q3bl3VsyMiIiKiWkCRy+tTpkzBiBEj0KxZM7Ro0QILFixAVlYWkpNLH5ZPRERERI8uRULnE088gb///hv//Oc/kZGRgcaNG2P9+vXw8PBQYnZEREREVMMpcp9OIiIiIiJdNf/Z60RERERU6zF0EhEREZHiGDqJiIiISHEMnURERESkuFodOtu1a4cPPvgAWVlZ1V2VGufmzZvIyMh4ZOZTE/38s4FnulehvLy8Ml+XRul6Uc2zYsUKxMTEoH379hgwYAB++ukno95fW47jpUuXYtCgQRgyZAiSkpKwbNmyEn/fsWMHTp06haFDhyIxMRE7duwo8fdNmzZh1KhROHz4MADg/fffr9L6VcWx99lnn2Hr1q1ISEjA4MGDsWjRoiqo2V1r167F2rVrsWbNGgwYMABr166tsmnTXa+99ppi03733XcxfPhwfPHFF+jbt+8D7xuvvfYaBg8ejE8//RQJCQl49tlnK/zein4e6auRo9e/++47bNq0Cbdv38aZM2cwcOBAnDp1Ck8++SReeeUVZGVlIScnByqVCjdu3EBeXh4iIyORnJyMyMhIzJgxA1evXsXvv/+O3Nxc5OXlYdiwYfj2229x/fp1+Pj4oGPHjjh16hQA4Ny5cwgMDMSgQYPw+++/Y926dYiOjsYXX3wBf39/vPrqqxg7diz8/PxQUFCAOXPmwM7ODrt27cIbb7yBEydOQKVSoX79+hg8eDBatGiBH3/8EatXr4a9vT0aNmyIjRs34ubNm/D09ERkZCSuXbuGy5cvw9HREenp6XByckJWVhYcHBwQERGBgwcP4sCBA4iIiMChQ4cQGhqKiRMnYsCAAQCACRMmIDMzE7a2tlixYgWCg4Ph4uKC4uJiBAcH47fffsP58+chImjcuDGuX78OU1NTdOnSBSKCkSNHwsfHB3Xq1METTzyBgQMH4sMPP8TevXtx584dtG/fHtu2bUNwcDACAwPh6emJ2bNnY8KECRg1ahR69uwJf39/pKeno127dvD19cWwYcMQERGB1atXo3nz5li/fj2++OILuLm54e+//4aNjQ2ys7ORk5ODS5cuISoqCpcvX8bt27ehVqvRqVMnAMCBAwdgamqKhIQENGvWDJ9//jn++OMPpKenw8PDA9evX4e1tTVMTExQWFgIe3t71K9fH88//zx++uknmJubo1WrVlixYgV27tyJgwcPwtraGoWFhRg6dCgOHDgAJycn/PXXX9i3bx9EBObm5igsLESnTp1w/vx5nDlzBoWFhSgoKICFhQUcHR2RlZUFKysr3LlzByqVCsXFxQCAOnXqwNraGs2bN8fx48dhYmKCK1euoGHDhsjPz0fDhg2xd+9ehIeHY9CgQVi2bBkmTZqE//znPzh37hx8fX1hYWGBkydPYufOnQgJCcE777yD+vXrw87ODj169ECjRo3wyiuvICAgAKdOnYKHhwfi4+Ph4+ODtWvXYs+ePfDz88P58+dRXFyMJk2aYNSoUbCwsMCLL74IT09PODo6onnz5rC3t8eGDRtw+vRpBAQEoEuXLli5ciXOnDmDAQMG4Ndff8Xx48dhamqK559/Hps2bULDhg2RlpaGYcOG4eDBg5gzZw7Wr1+PFi1aoHfv3ti8eTOuXbuG5cuXo2/fvvj5558RGBioXRfXrl2DSqWCmZkZhg4dik8++QRdu3bFrVu3MG7cOHzxxRf46aefEB0djUaNGmHRokXIzc2Fs7MzXnzxRYSGhkJEsHXrVnh4eGinu2fPHvz88884c+YM7OzsYGtri+vXryM9PR0uLi5ITEzE0KFDMXbsWBw5cgReXl4wNzdHw4YN4ezsjBkzZuCNN97AjRs3kJGRAXNzc2zbtg12dnawsbGBlZUVmjVrhmXLliEzMxPh4eFo1qwZ7ty5g549e2L16tUwMzODmZkZjh49ioiICKSlpaFTp05YsmQJNm3ahMuXL+P06dOIjo5GRkYG4uLicOPGDXh5eeH48eP45ptvcPXqVbRt2xbnzp2Dm5sbMjMzkZCQgB9//BGurq7w8vLCgQMH4OXlhe3btyM0NBQzZ85EREQEAGDkyJEYNGgQ5syZAy8vL5w+fRre3t4IDAyEv78/9uzZg7S0NAQHB+POnTsoLi7G/Pnz4ezsjObNm+PNN99Ey5Yt4eDggKeffhouLi74/PPPcfbsWbRv3x6hoaHo378/LC0t4eHhAWtra0RGRuL999+HiYkJ+vTpg4KCApw7dw5paWn49ttvkZeXh7Nnz2LWrFno1q0bRo4cicuXL+P3339HREQELl68iDFjxiAuLg7r169Heno61qxZg6SkJFy9elV7jpo1axaOHz+O3NxcHDlyBB988AG8vLwwf/58bNmyBW3btkVaWhp+/fVXbNq0CSdPnsS7776Lli1bYsCAAfD29sbevXsRHR2N06dP45NPPsH48eORlJSEr7/+Gg0bNkS9evVw5MgR/PTTT0hNTUW/fv2wdOlSfPfddzAzM4OIoF+/fhg8eDBeeOEFvPDCCxg2bBjS09MBAGfPnoWbmxvu3LmD9PR0tGjRAv3798eZM2cQHByM119/HS4uLrh+/Tq8vb3h4OCAq1evYtiwYWjQoAGio6O1j32eOHEiLC0t4e/vjzZt2uDDDz9E27Zt0bNnT+zatQtWVlb4/vvvkZGRgYSEBFy/fh1r166Fj48PJk2ahPr16+Py5ctwdnZG7969ERwcjI4dO2L58uU4evQoRo8ejWPHjiE9PR0BAQHIycnB/v374e7ujn79+mHatGnaz+Evv/wSo0ePxoIFC/DLL7/giSeeQPPmzWFlZYWrV6/irbfewvPPP4+4uDg8//zz6NatGyZPnozw8HBkZ2dDRDBmzBj06dMHEyZMwM2bNzFy5Ei899578Pf3R0hICL788ktkZGQgKCgIf//9NyIjI9GmTRvExMRg7ty5SExMxO7du/HBBx+gdevWWL16NerUqQNfX18EBgbilVdeQVxcHOzs7NC7d298/vnn8Pf3x1NPPYWEhATk5uYiPDwcx44dw61bt9C0aVOMHj0a/v7++O2331C3bl388ssvyMvLQ2FhIdauXQtHR0c4ODigadOm2L9/P0JCQvDLL7+goKAAXl5eOHLkCDIzM7XHsJWVFdRqNbKysvD333+jQ4cOyM7Oxu3bt2Fqaop58+bhp59+0n4+XL58GcnJyVi7di3y8/PRu3dvhIeHazNPWFgYfH198cwzz8DExAQhISHw8fHBli1b8M033yAsLAwzZ87E7NmzkZiYCAD4/PPP0b17d3z33Xfw9PREUFAQ4uLi0Lp1awwZMgRXr17FhAkT8PnnnwMAsrOzcfbsWbz99tv4/PPPUa9ePe3ncXp6OiZOnIi0tDQsWLAAf/zxB7799lvY2NggLCwM48aNw8KFC2FpaYlRo0ahd+/eFQ94FX5K+0OQkJAgCQkJ4u3tLf379xdTU1OZP3++qNVqmTRpklhZWcm8efPEw8NDPvvsM7GyspL8/Hxp2bKlvPzyy9K7d29p2bKlREREyBNPPCFr1qwRBwcHSU9PFwsLC/n5559FrVbLp59+Kra2tjJ69GiJi4uT5cuXi42NjTRr1kzs7e0lNDRUVCqVHDp0SBwdHWXo0KGSkpIiWVlZ4ufnJ+PHj5fAwEDp2rWrDB06VKZNmyZFRUXi7u4u5ubmEhYWJi4uLmJhYSHTp08XX19fmThxotjZ2cn06dPFzc1N3N3dpUGDBjJs2DDx9/eX0aNHS2hoqDzzzDPi4uIiU6ZMEbVaLWPHjhV/f39ZsGCBqFQqadCggfTp00dsbW0lPj5efHx8JD4+XlxcXCQ5OVnq1Kkj4eHhMmLECCkuLpb69etLvXr1JDIyUpYsWSKOjo6SkJAgERERMnXqVHF2dpZhw4aJra2tjBw5Uvr16yeZmZliZWUlN27cEEdHR/n222/FwcFBOnbsKA4ODhISEiL29vaSmpoq/v7+8vTTT4u1tbUkJiZKv379pE+fPtKwYUOpX7++zJkzRxo1aiSvvfaa2Nvby4svvihhYWFy48YNsbW1lYkTJ0pAQIAsW7ZMrK2tpU+fPtp1bG5uLs8++6y4u7uLl5eXtGzZUiZPnixPPvmkDBs2TJKTk6VJkybi5eUlQUFBEhMTIxERERIQECCRkZHyySefSEJCgnz33Xfi4OAgS5cuFRsbGzl69Ki4uLjIxo0bxdXVVW7duiUODg6Sn58varVapk6dKvXr1xcREVdXVykqKpI6depIYWGh2NnZyZIlS6RBgwbSpEkTuXHjhiQmJsqQIUOkfv36snHjRjEzM5Pp06eLn5+fBAYGire3t8ydO1esra0lLi5OnJ2dZcaMGRIUFCTjxo0TGxsbGTBggNja2squXbvE29tbGjVqJHXq1JGMjAzp3LmzhIaGSmhoqPTq1UsGDx4sjRo1Ent7e2nXrp0kJyfLq6++Kl26dJFBgwZJx44dxdPTUxISEsTNzU127twprq6ukpCQIHZ2dmJvby++vr6yatUq8fPzk549e4qfn5+kp6eLlZWVJCcnS0BAgJw9e1a7Lzo5OUmjRo0kODhYGjRoIDY2NrJw4UJp27atuLq6ip+fn9SvX19atmyp3e9dXV3Fzc1NGjduLEuXLhVbW1v58MMPxdraWt58802xtrbWHteDBw8Wa2tr6d+/v9jY2MisWbNk/Pjx8vPPP0vHjh3l22+/lejoaAkICJCQkBCpU6eONGnSRFq0aCFeXl7i7e0t8+bN0x6/YWFh0rhxY/Hw8JCIiAjp06eP5OTkiIuLS4nj39raWrteCgoKxNraWkREnnrqKUlISJAxY8aIv7+/iIg4OzvLypUrte/18PCQZ555RpycnGTq1KmiUqkkNjZWXF1dJS4uTgICAmTgwIFiamoqN27cEEtLS4mPjxdra2txc3MTa2tr6d27twQFBUlhYaFYWFjIvHnzxMrKSoKCgiQ2NlacnZ3lqaeeksDAQBkyZIjY29vLmjVrxN/fX+rVqyfe3t4SHx8vNjY24ufnJ/b29iIiYmpqKiNHjpS6detKeHi4BAYGymuvvSZqtVq6desmHh4e8sorr4itra0MGDBAHBwcJDY2Vtzd3WXSpEnafSw2NlbCwsIkODhYWrduLWlpaeLq6ioTJ04Ub29vuXLliri5ucmIESPExcVFlixZImq1Wp5++mnx8PCQDRs2iLOzs6SkpIi7u7t8+OGHUqdOHXn11VfFxsZGkpKSJDAwUKKjoyUxMVFatGghrq6u0q5dO2ncuLGsXr1a6tatK7dv35ZRo0bJiBEjpFu3bhIXFydLly4VR0dHmTZtmpiZmUm/fv1ErVaLo6OjNGjQQLtd+/XrJw4ODrJu3ToJCAiQ3377TVQqlURERIiVlZW4ubmJl5eXdh9s2bKlhIeHS+fOnSU3N1f7ueTn5yfdu3cXW1tbGTJkiLi4uMimTZvExsZGPvnkEwkPD5eIiAiJi4uTxYsXi1qt1q6X/Px8CQ8Pl4KCAnFxcZHXX39d3NzcJD4+XiwtLSUsLEyaNWsmTz75pLRq1UoaNGggarVaRo4cKf7+/tK/f3+JioqSRo0aSYsWLcTb21v+9a9/ibW1tURHR4u9vb10795dXFxc5Mknn5SoqChp1aqVqFQqGT9+vPj4+EhgYKD06NFDWrduLfb29hIVFSUNGjSQKVOmiJmZmSxYsEC8vLxkwoQJsnXrVunSpYvExcWJv7+/zJ07V5ycnGTYsGGiUqmkZcuWUq9ePWncuLF4e3vLU089Ja6urtKsWTNxc3OTf/zjH+Lt7S2LFy8WCwsL6dKli3h6esrt27fF19dX5s+fLw0bNpSWLVuKn5+fpKSkiIeHh7Rp00YsLS0lOjpaQkJCxMLCQho2bKhdP5rjNCgoSBISEsTS0lK8vLzEwsJCzpw5I+3bt5ejR49KSEiIDBs2TIKCgkREtMd1SEiILFiwQGxtbaVv377SuXNn6dSpkwQGBmqX4fPPP5fIyEhJSkqSTp06SVJSkgwYMED8/f3lzTffFDs7O1m+fLk4OzvLlClTJDg4WEREIiIipLCwUNzc3GTChAni7+8vhw4dEnt7e3n22WfFxsZG/vWvf0l6ero8+eSTUrduXRk3bpx06NBBnJycpEOHDmJlZaXdNgkJCTJq1CjtubRLly7az31ra2tZvny5qNVq7Xm+c+fO4uTkJLm5ueLs7CxjxowRBwcHGTFihPj5+cnly5fFw8NDnnrqKUlLS5Pw8HDp3bu3eHt7S+PGjaVOnToSEhIi8fHxcujQIXFycpKRI0eKk5OTTJgwQVxcXCQzM1Ps7e2lQ4cO0rlzZ+nevbt8+umnRuW8GnV53d7eHsuXL0dMTAy+/fZbeHh4YOrUqbCyssKCBQtgZmaGadOmwdbWFl26dIFarYaJiQkuXLiA9u3b49lnn4Wbmxvq1KkDEYGDgwPkfw255ubmaNKkCWxtbTF8+HD4+vqidevW+OOPP2BjYwN7e3skJibC2dkZderUgYuLC+7cuQM3NzccPnwY//3vfzFo0CBkZmbizp07sLS0xJ07d7BhwwZcuHABd+7cgb+/P+rVq4eePXuia9euqFevHubMmYOIiAiYmpqiTZs2OHfuHIC7zysNCAhAbm4unJycYG1tjdu3b6N9+/awtrZGYmIiVCoVLC0tAQBt27ZFVFQUOnbsCHd3dwQFBeGrr77Str5aWFhg5syZSE9PR0ZGBgoLC3Hs2DHcuHEDWVlZiIyMxLBhw+Dl5QVvb2+0bdsWa9euhZWVFZYsWQIvLy8888wzOHHiBL766iuYmJjgt99+g5OTE3766SdYWFigVatWsLKyQt++fWFqaopffvkFVlZWeP311+Ht7Y3+/fvj559/hp+fH4qKitCkSRP069cPBQUF6Nu3L0xMTNCyZUsUFhZi165dcHBwgKmpKUQEISEhKCgogIjAzs4Ob7/9Nnr16oW1a9fC3t4eTk5OsLGxwfnz53Ht2jXk5OTg+vXraNKkCdq3b4969erB2dkZZ86cQWRkJIKCgrB7927s2bMHTZs2hampKQYPHgxfX1+8+uqrsLKywqpVq3D79m0cOXIEIoJ9+/bB1NQUZ8+exaVLl/Dyyy+joKAA69atQ25uLt58801YWVnBwcEB6enpKCoqwt9//w2VSgULCwuEhYXh008/haWlJa5evYrs7Gw0b94cTZs2RYsWLeDm5oa6desCuHuZS6VS4T//+Q8sLS2xcuVKFBcXo02bNjA3N4eTkxMuXboEDw8PhIWFITw8HOfOnUOfPn1gZmaGhg0bwszMDM2aNcP169fRtWtXWFlZ4ejRowgMDETv3r0xadIk3L59G46OjggPD4efnx/UajWcnZ3Rq1cvxMTEwMTEBHZ2djA3N8eZM2dQVFSEs2fPori4GObm5jA3N8eFCxdgaWkJPz8/7X/cBQUFcHd3h0qlwnvvvQcLCwuEhoaiTZs2+OCDD7SXXmxtbdGyZUsMHjwYlpaWSE1NhYuLCyZPngyVSoUFCxbA1NQUS5cuhUqlwrfffgsfHx80atQImzdvxlNPPYV9+/bhzTffxNGjR1FQUAArKyu0atUK+fn5qFevHpycnDBjxgzs3bsXjRs3hpOTE/z8/NC5c2c88cQT6NKlC44fP44TJ06gsLAQw4cPh4WFBd577z0AwPLly2Fvb49u3bpBRDB37lycPHkSd+7cQW5uLvz9/bFr1y4AwIABA+Dq6oqIiAjcvn0bLVq0gFqtRo8ePeDr64uZM2fC3PzuMzdMTU0xZcoUqFQq3LlzBz4+PmjRogUCAgIwZMgQhIaGIjQ0FLm5uVi8eLF2v4qIiICTkxOeeeYZ+Pj4YNGiRejRowcOHz4MlUqFnj17wt7eHp06dcK4ceNw7tw5dO/eHUFBQWjbti2WLl2KiIgIZGVlIT09HaamplCpVPj9999haWmJmTNn4s6dO3j++edhbW2NvXv3wsbGBsuXL4eJiQnOnz+PX375Ba1atYKfnx/q1KmDK1euaFtzbG1tcezYMRQXF+PYsWPaFi0PDw8MGzYMDg4OUKlUcHFxQffu3eHt7Y2jR4+isLAQCQkJsLGxwdixY+Hj44OxY8dCpVLh448/xpkzZ9C0aVO4u7vjxx9/xLVr15CUlITz589j6NCh2LZtG8aPH4+cnBycPn0ahYWF8PDwwLx58+Dp6YmQkBA0a9YM3bp1Q6tWrbB8+XJERUXhm2++QV5eHn7++WeYm5vj66+/RkhICLp27YqGDRsiICAAsbGxWLp0KdRqNfbs2YMOHTpor3wUFhZixIgRyM7ORtu2bWFhYYHffvsNpqamiI6ORosWLRAeHo709HTcvn0b7u7uGDFiBIKCgjB79myo1WocP34chYWF2LFjB4qKijBlyhS4ubnhq6++QlhYGD766CNcvHgRt27dgoODAyZOnAi1Wo1u3bqhV69e8Pb2Rl5eHnx9fREQEAAHBwe8+OKLMDU1hZOTE/z9/bFhwwao1WrcunULf//9N5o0aYKYmBg4OzujsLAQXbt2xXvvvYdly5bBysoKrVu3hq+vr3aZBg4ciNzcXGRnZ2PKlCm4desWzp8/j+DgYPz111/w8fHBkiVLMGzYMLRq1Qq5ubno3LkzWrdujcuXL8PW1hYBAQEwNTXF0aNHYWdnhxEjRqBu3bqoU6cOsrKy0LdvX1y7dg2HDx9GgwYNUKdOHajValhaWiIoKAiNGjXCwIED0aBBA7Rs2RIjR45EdHQ06tevj/bt26NRo0bYsGEDTExMtOv44sWL8PX1xf/93//h4MGD+Prrr3Hnzh2cOHECV65cwcsvv4zi4mLMnTsXOTk5CAkJgZ+fH6ZPn44zZ87A398fDg4OcHBwgKOjIzp16oTi4mLY2NggPDwcQUFBsLe3R35+Pnx9fQEA3t7eMDMzw7Vr1+Ds7Iyvv/4a2dnZyMjIgJeXF27duoX8/HycPHkSXl5euHnzJmxtbREYGIjp06dj//79yM7ORlFREdLT09GrVy8sWbIEfn5+6NevH4qKirBnzx788MMPAAAXFxds2bIFffv2xVdffYXAwEAkJCSgW7duqFevHlQqFRo3boywsDBcvXoVIoJ33nkHlpaW+OGHH2BjYwN3d3fUq1cP169fx40bN2Bqaop3330XjRo1QocOHXDlyhW0bt0a2dnZ2iuIeXl5MDMzw+jRo7XPWO/bty8CAwNx8OBBNGjQAMOHDzcq59Woy+unT59GUFAQdu7ciXbt2mHWrFmYOXMmBg8eDFNTU/z222+4evUqzMzMYGNjg+HDh+PgwYMIDg7Gq6++CgBYtmwZPvzwQ1haWiIjIwPt27fX7tR//PEHGjRogJdeegnvvPMO7O3t8fHHH+P27dt46qmn0KVLFzzxxBNQq9UYOHAgCgoK0KFDB+zYsQNz587FpEmToFarMXnyZCxYsAA9e/bEl19+iby8PNy4cQN2dnaIj4/HZ599hn379sHHxwcrV65EVlYWPvjgA6xfvx4dOnTA0aNHkZGRgeHDh8PU1BSZmZkoLCzEkiVLEB8fj/r16+OHH35At27d8Ndff2kvWaampiI7OxtvvPEGTp06hTVr1uDgwYN444030LdvX+zatQuBgYE4duwYbt68iT///BMmJiYwMTFBaGgo/P39sWrVKkycOBEbN26EtbU1zM3N8cUXXyAmJgYeHh64dOmS9mRrbm4OS0tLTJgwAS+99BJeeuklzJ8/H+bm5li9ejW8vb2hUqm0AcvFxQXBwcFYvHgxLCwssGvXLnz00UeYP38+QkJC0LNnT4SHh+PNN9/ElClT0L17d/z3v//FwoULYWNjgzZt2uCXX37BnTt38Msvv+Cbb75BaGgo2rZti9atWyMqKgqHDh3SBh4XFxfs2LED7u7uWLx4Mby8vDB+/HhcunQJ8fHxWLVqFTIyMnDp0iWEhYXh+++/x+uvv45Ro0ahX79+iIyMREFBAerWrQsrKysAQMOGDfHqq6/C2toaKpUKL774Ivbt24dNmzbBxMQErVq1wpo1axAREYGlS5fCzc0Nzs7O+Pe//42cnBzs2bNHezk5IyMD7u7u6N69O2JiYtC3b1+sXr0aTz/9NI4ePYrNmzfD398fzs7OqFevHv744w9cvXoVAQEBGDVqFNauXYtXXnkFSUlJcHR0RFxcHK5cuYIVK1YgKioKaWlp2LNnDz766CM0b95ceym/bdu2mD9/PmxsbNC4cWN8/PHHUKvV6Ny5M44dO4b8/HykpaVh1apVOHToEJydnRETEwMHBwccOnQI165dQ4sWLXDjxg24ublh3bp12kDZoEEDfPfdd9rL2XFxcejcuTP27NmDrVu34sKFC1i4cCEAICkpCTk5OYiIiMDRo0dha2uLJUuWaP+pTElJQV5eHnbv3o2GDRuiqKgIq1evRlxcHPz8/DBx4kR89913OH/+PN544w2kpKRou2BERUWhW7dueOWVV7B8+XJ06tQJvr6+cHR0xO7du+Hq6opr165h3LhxmD9/Pn788UdkZWWhUaNGyM3NRWZmJjw9PbF7925ERETA398fDRo0wKxZs9ClSxd4eHjA29sb48aNw9mzZ7F+/Xrk5uZixowZ2L17N27evAkLCwv88ssviIqKws6dO/Hpp59qPyRbtmyJ77//HhcuXICVlRUOHjyIuLg4BAYGolevXmjSpAkWLVqExYsX491330VYWBheeOEFLFmyBAEBAcjMzERwcDA+/fRTbN26FX/88QcuX76MUaNGwcTEBDdv3sTChQsRHx+PDRs2IC4uDv3798fcuXPx66+/olWrVvjwww+xYsUK1KlTB4MGDUJMTAw6dOgAX19f3Lp1S3u8e3p6YufOnTh+/Dg6deqErVu3Yv/+/Thy5AgOHz6MZs2aYcWKFfj999+1/9ieOnUKLVu2xNtvv42QkBA0btwYeXl5+Ne//oWnnnoK165dw6ZNm9CpUyeEh4fj8OHDOHr0KCwsLAAA3bp1Q7t27TBs2DC8+OKLOHr0qPYS6RdffIFly5bhhRdewEsvvYRx48bBz88P69atQ+/evZGSkoIff/wRK1euBHA33AOAtbU1Tp48iQYNGmDatGkICgrC8uXLsXLlSjg5OWHRokVYt26d9gM+KSkJqamp2LhxIwDAysoKzs7OOHDgAP75z39i+vTpWLlyJX799Vc0atQIFy5cwHPPPYfp06fDzs4OOTk5ePnllzF69GhMnz4d3bt3h0qlwpgxYzB+/Hg8++yzmDt3Li5duoSPPvoI3377LczNzdG8eXPcuHED586dQ0BAANLT07Flyxbs27cPzZs3x507d2Bra4vnnnsOr732GgoLC9G/f3+cOnUKM2bMgKmpKd566y3s27cPI0aMQHR0NBYuXIg9e/bgH//4B1555RVs2rQJ77//Pvbv34/IyEi4urrC09MTL7/8MoC7fYAHDhyIgwcPYu/evdruXkVFRXjnnXcAADt37sSpU6fwxRdfwMbGBk2aNMHzzz+PkSNHYvHixUhLS4OXlxf69++P8PBwjBgxAsOHD8fy5cvx119/4cyZM9oQs3btWowcORJt2rTBkiVLcPXqVXz44YcwNTVFUlIStm3bhn379uHjjz9GZmYmAgMDYWZmpv1Mf/7553Hz5k3Mnz8fK1euxIoVKxAfH49Dhw5h/vz52LNnD1q1aoVXX30V06dPx/r16/HHH39g+fLlqFu3LiZPnox58+YhKysLiYmJOH/+PI4ePYqTJ08iNzcXUVFRuHDhAg4fPgw7OzskJSUhPDwcH3/8MZydnZGeno6srCw888wzqFu3rnbddO3aFXv27EHDhg3h7u6O77//HhMnTsRvv/2Gt99+G6mpqTA3N0dcXJx2P05PT0dBQQH69Omj/Qd9/PjxGDBgABo2bIiVK1fi4sWLMDExQV5eHt5//33s2LEDrVu3xtChQxEfH49p06bh1KlTiIuLw9ChQzFgwABERESgW7duWLFiBfbt24effvoJ7733HlQqFaZNm4arV6/im2++QXh4OObNm4dOnTph+PDhOHv2LAICArSf7atWrUL37t3RtGlTREdHIzU1FSqVCnv37oW3tzf69euHTZs2ITQ0FJaWlpg9e7ZROa9Ghc6bN2/i5MmTCA0Nxfz58+Hv748WLVrgxIkTWLJkCTZs2IDw8HC8/vrr6Nq1K27evImcnBx4eXmVmE5eXh5UKhWAux1ln3vuORw9ehRZWVnw8PDQ9vW8desWLl++jCNHjkClUmH9+vVo164d/vrrLwwZMgQmJiZo3749mjZtin/84x8wNzdHVFQUPvnkE4waNQpRUVGwtrbW/meVlJSErKws+Pn54b///S82bNiAOXPmwN7eHitXrkRCQgI2b96sbYVwdXXF/v37YWtrq+0jZmlpia+//lrbovHWW2/Bz88P4eHhOHHiBObPn69tnUpMTERCQoK2T+dvv/2G1atXw93dHXPnzoWjoyNGjBgBGxsbuLi4wMHBATt27MCwYcOQn5+PzMxM7NixAyqVCh06dMCYMWOwdetW7bry9fVFly5dtAfcsmXL4ObmhvDwcLzxxhva1qs1a9YgJCQErVu3hpOTE4YNG4YhQ4YgLS0NkZGR2LhxI7744gs8+eSTOHnyJFauXIkRI0agf//+mD9/Pj744APExsZi1KhROHbsmHab/PHHH7C2tkaHDh3QsWNH2NnZYe/evejVqxdOnToFX19f+Pj4AAAuXrwIb29v9OrVC3Z2dnB3d8fKlSthamqKZs2a4dlnn0WbNm2wY8cOnD59Go0bN8b27dsRFRUFlUqF0NBQfPvtt2jatClOnz6Nbdu2wd/fH0OGDIGLiwvy8/O1/4136tQJ7dq1w/LlyxEbGwtnZ2ckJiZq+2QBwK5du/Drr7+iYcOGaNq0KebOnQsrKyv4+vpi4cKFSE5Oxg8//IBevXph69at2LRpE2xtbREWFoaLFy/itddew4QJE+Dj44PPP/8cjo6OGDp0KJYvX4558+Zh1apVmDJlCgYOHIi33noLu3fvxqJFi/Dyyy8jICAA77zzDoKDgzF48GAsXrxYe4IaOXIkzMzM8H//93/4/fffMWrUKCxevBje3t54+umn0bZt2xLH0tGjR9GgQQNkZWVh3759AIDMzEx07doVBw8eRGhoKADg1KlTOHXqFM6fPw8zMzOEh4cjIyMDDRs2xI4dO3Do0CF07doVH3zwAW7cuAFPT09tP7q///4bPj4+iIiIwKVLl5CSkgInJydtH8lnn30WI0eOhLW1NV555RW4uLjA1dUVU6dORU5ODgoLC9GrVy8AQG5uLlauXImVK1di2LBhiImJAQAUFhbi2rVrsLW1xcGDB7X90nr16gVHR0cUFRVpW+tGjhyJwsJCrFy5EtOmTYOdnR1WrFiBM2fOID09He7u7to6N2zYENHR0Th58iR+//133Lx5E5999hm8vLwwYcIEbct5YGAg1qxZAxsbGyxduhS3bt1Cp06dcPPmTQQFBaFJkybo1KkTDh48iNOnTyMvLw9paWn4888/0aJFC1y/fh2TJ09GdnY2jh07BgsLC9SpUwdOTk7Yvn07unTpgtzcXJiYmODLL7/U7oubNm3CwoULMWvWLNy5cwcvv/wyzM3NkZaWhnbt2qFnz57YtGkTUlJS0Lx5c3z33Xews7NDQUEBXF1dERcXh0GDBuGDDz7AihUrkJ2dDZVKhcGDByMhIQGrVq1CmzZtYGtrCysrK+Tm5uLTTz/FoUOH0Lx5c/z000+4cOECunfvjh07dsDV1RWTJk1Chw4dsGnTJqjVaiQnJ6NZs2Z47bXX4Ofnh4sXL+Ls2bPYuHEjgoODsWHDBly8eBHt27dH9+7dS+yj27dv1/YlPnPmDObMmYNbt27B398f58+fR9euXfHhhx8iKysLrVu31l5Z0Jzvli9fjpycHBw/fhxbt26FSqWCm5sbxo8fD+Buf/8LFy7Az88P165dw/79+9GwYUNs374dzZs3x8yZMzF69GgUFhbiySefRJMmTTB06FDExMQgPT0d4eHh6N+/PwBg48aNsLe3x86dO7F+/Xo899xzcHZ21gb3vXv3IicnBwEBAUhJSdGe49555x2cOHEC5ubmmDBhAlavXo38/Hztec/X1xcuLi749ddfYWFhATc3NzzzzDO4desWzMzMEB0djZdffhkxMTHaPvcuLi7a9bhr1y6cPXsWERER+Oabb7B27VpYWFjA1dUVycnJuHTpEnbt2oX69etj5cqViIuLw7Vr1zBw4ECcOHECPXv2xM8//4zo6GisWLECy5cvR/PmzXH48GGYm5vDzMwMd+7cwUsvvQR3d3fMnj0bly5d0rYKjhw5ErGxsXjttdewZs0apKSkYM2aNQgKCsKoUaPg7++v/Tz/4YcfcODAAaSkpGDy5MnYsmUL4uLiMGXKFPj5+SEpKQmnTp1CSkoKtm3bBjMzM4wfPx779++HiOD69etwd3dHYGAgwsPDMWbMGDg4OKBNmzbYtm0bpk6dCltbW+zfvx9//vkn2rRpg2XLluHixYs4ceIEBgwYgJdeegnbt2+/b/tqzpWaOo4dOxbPP/88vLy80KBBA/Tq1Qvvv/8+7OzsEB4ejuPHj2un4erqigsXLuDdd9+Fr68voqOj8eabb0JEYGtri8TERKxfvx6urq5o3ry59hz7xhtv4NatW9oW5KSkJKxfvx7vv/8+hg4ditGjR+PSpUuoW7euNlO5u7vDxMQEbdu21fbf7ty5s3Y5srOz8emnnyI1NRVffPEFOnfujDNnzmDy5Mlo27YtGjZsiLfffhvh4eGIiYlBXFwc1Gp1xYNeJbpeKiY2NlbefPNNqVOnjgwdOlRsbGykXr164uTkpO37snLlSnF0dJROnTpJdHS0jBkzRlq0aCGJiYnyz3/+UxISEiQ4OFh69Ogh3bt3F7VaLT169BAHBwfx9PQUtVotbdq0EZVKJVFRUeLg4CBnzpwRT09PKS4uFrVaLcuWLRNPT0/ZsmWLBAcHy8yZM8XW1laSkpLE19dXPDw8JCYmRiZNmiSNGzeWFStWyA8//CD+/v5ib28vERER0qRJE7GyspKIiAjx9/eXXr16ia+vr3z88cfi7e0ts2bNEnt7e0lKShJ7e3tp27atODs7y+zZs8XBwUFatmwp9vb24urqKiqVSrseNP3VYmJiJCoqSoKDg6VevXri5uYmMTEx4uDgIL6+vtKxY0dJSEgQBwcHMTc3FycnJ+nfv7/Y2tpKz549JTQ0VDp06CBxcXFy9OhRady4sfzf//2f2NjYSO/evWXgwIGyaNEi8fLykueee07UarVMnz5devXqJStWrJDBgwfLjBkztOvayclJWrVqJX369BEfHx+ZNGmS2NraSmBgoNSvX18uXrwokZGR8s9//rNE/1l3d3fx8PCQ0aNHi42NjXTp0kXc3Nxk8ODBEhgYKJMmTRJ7e3uZP3++WFtbS6tWrbTruW7duhIcHCx169bV7iv29vYyZswY8fHxERGRRo0aye3btyUyMlI++OADbR8oc3Nz6dChgzg6OsrcuXPFxcVFWrVqJXZ2duLs7Cw2NjbSrl07CQsLk02bNsmIESNk0qRJ0qRJE4mLi5M6depIjx495IknnhBXV1cJCQmR559/Xv744w9JS0uTN954Qzw8PKRJkyZia2sr3t7e4uHhIe3atRNbW1tp06aNmJqaSsuWLaVx48bSvXt3cXR0FBERb29vCQsLE3Nzc7GxsZGEhAQ5evSohIaGyqRJk6R+/frSvHlzsbS0lLZt20rnzp0lOTlZRESmTp0qnTp1EktLS3nhhRfE1tZWpk2bJvb29jJixAixt7eXJk2aSGRkpOzatUvbN9Pa2loiIyOlRYsWcuDAARk5cqT06NFDGjRooO1nHBUVJY6OjuLl5SXOzs7yxBNPSFBQkERGRkrnzp0lPDxcBg4cKJ6enpKYmChqtVrq1asnLi4ucvbsWfHy8pI1a9aIr6+vrF69WmxtbWXq1Kni5uYm8+bNky5dukjXrl2lY8eO8sYbb0j37t2lSZMmYmdnJ23atBEbGxuxt7eXIUOGSMeOHcXf318cHR3FxsZGgoODZdOmTTJo0CB54403RKVSSWRkpHh6ekrfvn0lIiJCpk2bJra2ttKoUSOxsbERX19fMTc3l/j4eFGpVHL06FHx8fGR5557Try9vSUoKEh8fX21/YP79+8vL730kgQFBcn06dMlLCxM3nnnHQkODpZZs2aJra2tdOzYUezt7aVPnz7i5OQks2fPltjYWOnXr594e3tLnz59JDQ0VETu9jPT1KlXr15iZ2cnMTEx4urqKoMHD5agoCCpU6eOBAUFiY+Pj7Yv6JAhQ8THx0eGDBkivr6+IiLa/d3V1VX69esn9evX1/aPDg4OFgcHB5k4caJ4eXnJvHnztPuOl5eXZGdnS7NmzaRTp05iZ2cn3t7e8vbbb8vIkSMlNDRUwsPDpWHDhtKgQQOZOnWqBAYGSlRUlNSrV0/Gjx8vjo6O0qVLF3F2dpbg4GBxd3cXEREbGxv5xz/+If7+/trl1vQ/nz9/vri6ukrnzp3F19dXXn31VQkMDJSwsDAJDQ2VVq1aSWhoqLi4uEhkZKT8+9//lvbt28vChQtlzJgxEh8fLwkJCVKnTh2xt7cXb29vefnll8XHx0f++9//ire3tyxbtkz8/PykS5cu2n63Y8aMERGRNm3ayJIlS8TJyUlat24t/v7+4u3tLU2aNJGBAwdq+8e2a9dOVq1aJYsWLRIfHx/59ddfxcbGRhITE7V9eB0cHKRHjx4SEhIisbGx4u3tLZ9//rmMGTNG3nnnHe251dXVVXr06CGurq7ywQcfiL29vaSlpYmdnZ22b+/ChQulX79+snDhQmnYsKFMnTpVRERSU1Nl4sSJ0qlTJ8nKypJ69erJnTt3xNXVVV5++WVxd3fX9lnX9PmztbUVCwsLbZ/H5557TmJiYuS///2v2NjYSGxsrPTo0UNeeeUVadCggXTu3Fn8/f1l6dKl0rBhQ0lOTpbw8HAJDg7W9ndftmyZWFlZycSJE8XKykpatWolNjY24ujoKPb29rJs2TJxcXGR7t27S9OmTWX+/Pni6OgoM2fOFCcnJ4mLixMnJycpKCiQxo0bS3JystjZ2UlwcLAEBgaKg4ODtp9iVFSUhISESFBQkPTq1UvmzJkjISEh2r63s2fPFnt7e+0+qOnj/dNPP4mNjU2JfSwgIEBGjBgharVaOnToIJ6enjJs2DDp37+/DBw4UKytrSU4OFhsbW0lLS1NAgMDpXv37lK3bl0ZMWKErFmzRoKDg+WFF14QOzs7iY6Olh49esjs2bNlyJAhcvToUQkPD5f58+eXqOPUqVPF1dVVunbtKo6OjtK7d2+pW7euNGvWTBISEiQkJEQ8PDzExcVFAgICxMLCQmbOnCk+Pj73nSv/8Y9/SK9eveSnn36S8PBwmTp1qsTFxcmyZctErVbLU089JTY2NjJ48GCxtbWVxMREsbOzk9atW4unp6ekpqZK586dpXHjxhIdHS0+Pj4ye/ZsCQkJkY8++kh8fHwkISFBfH19xdXVVdRqtfTu3VvUarU0atRI/P39xdnZWVxdXSUmJkZ+/fVXWbNmjfazp6JqVJ9OV1dXTJ48GdbW1vjss8+gUqlw7NgxODs7Y/LkybC1tcWAAQPg5eUFT09PtG3bFu+88w5u376NL7/8Et26dcPvv/+Obt264e+//0bbtm3h7OwMa2trWFpawsXFBUOGDMGuXbtgbW2N/fv3w9XVFf/3f/8HEYGJiQlcXV0xaNAgXL16FZ9//jmuXbuGFStWwNvbGyEhITAxMUFSUhKmTZuG7du34/fff8f333+PJUuWIDMzE6ampujTpw8OHjyIgIAAdO3aFdbW1li7di0yMjK0l/lOnz6N7Oxs2NnZwc/PDzt37oSLiwu++uorbb8Wf39/DB06FB06dEBycjKcnJzQuHFjdOvWDW5uboiKioKVlRVMTU3h5+eHVatWoVOnTmjVqhVGjBiB5s2bo2XLlnjyyScRGhqKpKQkWFhYYN26dbCxsUFQUBA2btyIWbNm4cKFC/jqq69gbW2NNWvWYPv27bhy5QoKCgqgVqshIpgzZw52796N1atX4+DBg9r/VjMyMrStGbm5uXBxccGCBQswdOhQbNmyBTk5ORg/fjwKCgqQl5cHU1NTJCYmav8zHTBgAN577z0EBgZi8eLF2lbFvLw8tGvXDs7Oztq+t2PHjkVMTAwCAgJw/PhxNGnSBGZmZhg0aJD29ifHjx9HQUEB3nnnHfz++++YOHEizpw5g7lz58LCwgKbNm2CpaUlNm/eDBsbG+zZswdWVlbay5916tTB0KFD8eOPP+Ly5cuYPn06vvvuO+zfvx/m5uZYsWIFRAQZGRn44osvEB8fj65du+Lzzz9H//798eWXX+LIkSMoLi7G008/jcDAQCQmJqJv37748ccftX0Ek5OT0apVK1y5cgVmZmbw9fXFzp074e3tjdTUVDz55JPo1asXli9fjmHDhkFEsH//fm1XgLCwMLRu3Rpnz57F77//jrFjxyI7Oxtbt26Fq6srZs+eDQcHB8ybNw/m5uZYvHgxAgMD0bp1a5ibm6NNmzZwdXXF2LFjERwcjH379uGPP/7A0KFDsXr1arRu3RpFRUXYuHEjioqKsH//fnh4eCA2NhbA3f6affv2RZs2bRAaGgoLCwt8/fXXyM/Ph5OTE+rUqYNjx45BpVIhOTkZN27cgL29PSwtLdGnTx94eHjg6tWrqF+/Pvbu3Yvdu3cjIyND29J97tw5NG3aFIGBgdi1axf69OmDVq1a4fjx4xgxYgS8vLyQmJioHaWvuax269YtmJqa4vDhw1Cr1fD29tb2czI3N8cvv/yCgIAAnD9/Hr6+vhgwYACKi4vx+uuvIysrC2q1GoWFhejRowcGDBig7R985MgRzJw5E2q1GnPmzMHp06exb98+XL16VXs829jYwM/PD6tXr4aTkxPOnz+PX3/9FfXr14ePjw9cXV1x48YNTJo0CSKi7VeruXVNvXr14Orqqu1f+MILL8Db2xvdu3eHj48P/Pz84OTkBAcHB9jY2MDX1xdLly6FiYkJdu7cCXt7e3z33Xfo3LkzsrKyYGZmhn79+mHYsGFQq9UoKCjAtGnTtPtOcXExhg4disaNG6NDhw7abiXjx4+HSqVC586dERkZiTt37sDV1RXr1q2DpaUloqKiYGpqipycHPj6+iIoKAgeHh44efKk9hwIAGfOnNH2+TQ3N8dXX32l7Wbh6emJli1bwt7eHs899xx69eqFZs2awd7eHosXL8aFCxegVqtRVFSEiRMnon79+hg7diwsLS3RrFkz9OvXDz4+PnB2dkafPn3wj3/8Q3u51sHBAYMGDUJRURG2bNkCNzc3rF+/HkePHsXXX3+N69evY/v27bhw4QK6deuGW7duQaVS4YknnkBMTAx69+4Nf39//Pjjj/jXv/6FK1euID8/HytWrICZmRm+/PJL+Pj4IDAwECEhIcjJyYGlpSWWL18ONzc3rFy5Eh999BH27duHM2fOYPHixSgsLETjxo3h5uaGtLQ0+Pv7w8XFBXl5eXBzc0N+fj7c3d3h7u6OsWPHakeIf/DBBzhy5AiOHDmCvXv3IiEhAWfPnkVCQgJu3bqF27dvw9bWVttVp0WLFvD19UVaWhpSU1Nx8eJF+Pj44MaNG9izZw+SkpIQGBiI5cuXQ0Rw4MABZGRkoEWLFrCwsIC/vz9MTU21LcLNmzfH2LFj4eTkhEGDBsHMzAz//ve/YW9vj7FjxyIoKAgjR45Er169sGXLFpiYmMDLywsZGRnYsGEDPDw88NJLL8HLywt169ZFUVERBgwYoD3P16tXD6NHj9a26jk5OWHixInaO0hER0ejsLAQ77//PszNzbF06VIAwAsvvABzc3O8/fbb8PPzQ+vWrZGZmYnTp09DRPDjjz/CwcEBLVu2hJ2dHby8vBAUFITNmzcjNzcXGzduxJUrVxATEwN/f3/t3Qk0dxlo3rw5TE1NcerUKWRnZ8PCwgKzZ8+Gn58fPv74Y/z4448oLi7G8ePH8dVXX+HatWs4ceIEOnbsqD0m58+fDxcXF2zevBmmpqbaqx1RUVFwdXWFpaUl4uLi8MQTT2DAgAGoW7curly5ggYNGqB3795wcnJCnz594OLigqKiIu0VRWtra1y9ehVXrlzR9iHX3D5p6dKlsLS0xJdffglfX198+eWXKC4uxocffoiIiAhERUWhQYMGEBG88MILsLKyQkpKCkJDQ9G8eXP06NEDQ4cOhbOzM9asWQM7OztMmzYNMTExGD58OFq0aIGIiAhERESgd+/e2s+jiqpRoVNzqa5NmzYYNWoUwsLCANzt/7N37168/fbbAABLS0tcuXIFL730EgBoLzW0a9cOzz//PFatWoWhQ4fin//8J44cOYJnn30WeXl5uHbtmnYe3t7eAIDOnTvjvffew5o1awAA3bt3x5AhQ9CsWTNcvXoV0dHR2oETv//+O2xsbGBtbY127dohJSVFOyjmxo0beOWVVzBw4EAcPnwY7dq10+4k7dq1Q1JSEtzc3GBiYgJfX1/k5eXBwcEBGzZsQEFBAQDAz89Pewl527ZtuHr1Kr777jv07t0b8fHx2g7p//znPxEaGornn38efn5+cHBwwI0bN9CuXTscPnwYHTt2RHJyMuLj45Geno5169Zh0KBBcHFxgY2NDYC7A1liY2Ph4uKCmJgYBAYGwsnJCQMHDkRiYiKKiopw7NgxdO/eHTNnzsTw4cORmJgIMzMzZGdn46WXXsInn3wCFxcXuLi4wNraGrNmzYKJiQkaN26s3aZ16tTBm2++iRUrVmgHdMTGxiI+Ph7Z2dn45ptvcP36dQwfPhwBAQGYPn065s6di6NHj0JEkJ+fj1GjRmHSpEkwNzdH3bp18dNPPyEnJwcAMHfuXISFhWHdunVo164d3njjDRw8eBCrVq3C+vXrMWjQIHz88ccIDAyEn58f2rRpgyFDhsDW1hYDBw5EaGgoVqxYgR9++AHx8fHIy8vD5cuXtZfOY2JisH//frz77ruwtbXFzZs3kZiYiOLiYri4uAC4OygsJycHw4YNw59//okZM2agsLAQ9evXx9KlS1FQUIBvvvkGly5dwqBBg5CQkKCt+4IFCzBv3jzY29tj+/bt2Lt3LxYvXoz4+HgA0J5Qhg4ditdffx22trbIzs7WznfevHmYPHkydu/ejWeeeQYiglGjRmk7dwcEBAAApk6dCgDak9rVq1cRGxuLjh07YtiwYcjKykJqaqq232fHjh0xc+ZMzJgxA1ZWVrh9+7b2WMzOzoapqan25C4i2LJlCzw9PREXFwdzc3Ncu3YNnp6e2uN56tSpmDt3LsaNGwcvLy8MGjQIs2fPRmxsLMLCwjBgwAD0799f281CM0jk2rVr2n6cL730Etq3b481a9YgOTkZ8+fPx/79+5GRkYHRo0dj//79GD16NH755Rftce7m5ob33nsPgwcP1g6AA4BmzZoBuHtbGEdHRzzzzDOoX78+UlJSMHPmTMyZMwcODg7aQX2a/q3+/v7IzMyEr68vGjZsiI8//hiRkZHIy8tDkyZNSmwzzW1TwsLC8Nlnn+Hvv//GiRMn0LhxY20Q37t3L7p3746kpCR4e3vjiy++wKlTpxAbG4unn34aycnJCA4OxrFjx5CVlYXg4GAcP35ce65bvnw5HB0d8c4772Dv3r3o3LkzAOA///kP5syZg/DwcNy4cQNBQUFIT0+Hp6cnhg8fDjs7O8ybNw//+Mc/sGLFCjz//POYNWsWnnnmGbRr1057Xu3Rowesra2xYMECHDp0CIsWLUJGRoZ2ENLp06dx7do1nD59Wnsebtu2Ldq3bw8LCwv8+uuvMDMzQ2ZmJtzd3QHcHRTh5OSEixcv4uTJkzhz5gxiY2PRpUsXbaCcP38++vfvr+0+NWzYMFy8eBHDhw9HYGAgnnvuOdStWxdubm4ICwuDWq1GUlISWrZsidTUVNjY2GDIkCEIDAxE//79td0EDh48iPz8fNja2uL06dPa81ZwcDDatWunne6FCxfg5ORU4lz43HPPYebMmWjUqBEAICIiQnsZffv27WjcuDEsLCzQr18/iAg6dOiAjz/+GF5eXtqGhMOHD+PixYtITEyEi4sLzp07h06dOuHChQswNTXFggULYG1tjeHDh2Pw4MGIjY3F9evXMWzYMEycOBFjxoxBly5dsGzZMkRHRyM+Pl77z9W4ceMwZswYxMfHo0GDBsjIyNAO/ujevTtu376NESNGIDU1FcXFxdouGs7OzujatSsOHz6MrKwsjBs3Dk888QTy8/Px/PPPY+bMmdpBiUOGDEFUVBT69++PkSNHom7durh06RJu3LiBunXr4vTp0ygoKEBsbCwKCgqQmZmJf/3rX9r96dVXX8X48eMRHh6Oa9euIT8/H8uXL0eHDh3QpEkT/P333+jYsSP27t2L//znPwgICMD333+v7drWp08fDBkyBE5OTvDy8kJ4eLj2c/zKlSvIy8vD22+/jeDgYJw+fRozZ87EyZMncerUKSxZsgRnzpxBQkICJk+ejOXLl2Pp0qWoW7cubGxscOPGDajVapw7dw6tW7fGxYsX4e/vDx8fH8yfPx8eHh4YNGgQwsLCMGnSJMTGxuKf//wnhgwZgpkzZ8LLywvXrl1DUFAQhgwZAldXV/j6+iIzMxPDhw9HcHAwRo0aBVtbW7i5ueGHH35AamoqRETbSPXRRx/B1dUVI0eORGJiItRqNQYNGoTk5GScPHkS33zzDWJjYzF9+nTExsbC2tpae7szX19fbRctzbnX29sbfn5+mDZtGoYNG4bdu3fjwIED+PHHH9GkSRNtEAeAmJgYxMfHY9++fVi5ciUCAgKQmpqKbt26oW7duti+fTtu3LiBoUOH4vjx43jiiScwaNAgdOjQAUYxql30IdmwYYMkJyfLxIkTRUTkvffeK/H3jRs3Smpqqhw6dEhERJKSkiQtLU37etasWdqymzZtkrS0NOnbt6/06dNHXnjhBRERmTNnjoiIvPrqqyW+684jLS1NYmNjJTk5WZ577jnJz8+X0aNHl5jX8OHDJS0tTQ4fPiyvvvqqTJo0SZKTk2X37t2ydu1aadeunSxatEhSU1MlISFBhg4dKoMHD5bU1FR54YUX5OrVq7Jo0SIRuXsJJTk5WZ588knJz8+XiRMnSnx8vHY9vPvuu3Ly5EmDdY2KipLdu3fLK6+8UmJ9rV+/vsQ0Jk2aVKL+//73v0usU0250tZPamqqpKWllZie7rbQvE93HWr+pr8dU1JSJD4+XsaMGSP5+fn3/V1/OZOTkyUtLU3GjBkjP/74o7b88uXLpVmzZga3v6YOmm2g2f4pKSkllkMzrTlz5pRYx7rLnZycLGPHjpX8/HyDy62/zyQmJkpKSoo8++yzJeqrv1ylKS4uLlGXjRs3avetV1555b5t+d5772mPHc3vStveGprlWrBggaSkpGjXj2Y/16wfzX6+aNEiad68uSQkJEhqaqo888wzsmHDBomKirpvO+uvQ/3lLu2YW7RokSQnJ8uzzz5rcL8oax3pf9ecG2JjYyUtLU2eeuopg+tBn6E6l3YsxMbGGjyeNdurb9++MmLECO05RLM8+vvmM888I1evXpWJEyeWWPf//ve/S13O0mjOe5pjRXNe+umnn7T7b1nHpiGvvPJKie+ac4Zm+Xv27ClpaWkyYcIEESl5HIqUfp7WXybdfVizn+vW/b333tMu308//aRdPs3xqLsNli9fXmJdauap/xmiOW/pT1d3vejvU4sWLSqxT+mvU81r3XNlaecQzXbXX059mn3m8OHDJaa5e/fuEu8xdO7QnN9197F33nlHkpOTJSkpqcTnnKF5a7a7hmb/1z8fa8qVd7xryumu81GjRpX4jN24caM0bdr0gc8tpX1+TZ48uUL7UUWmrf97zbm1b9++kpKSIoMHD5bk5GR55plnSixLaefPisxTQ7N9Y2JiJCkpSZ5//vkS09Kciwx91ho6/hISEiQ2NlabV9LS0mTy5Mn3HROG6lKeGhU6de+H1r9/f3F0dJQtW7Zo++FoDBo0SG7cuCFTp06VLVu2SEhISInXY8aMuW9aFhYWJe43qenTpbnvVUhIiME6aN4XGRl537w6duwotra2EhMTI3Xr1hVvb+8Sf+/cubOkpKRIWFiYfPvtt9p7Xurf+1K3f5lmnppp674ODg7W1lVTT19fX1Gr1WJjY6Otg6Hl16xL/XUVHBx83/Lq10n/e1nT091W+ttJMy9fX1+D09L8PSEhQeLj48XW1rbU8pr1oal7UFBQmXXQbAPNOtdft2Utb3nLramL/j6jv511t19FjgPNetBsbz8/v1L3Nc1yl3dsGFrHZa0fzbrW7Oe2trbi6empXTZNf86UlBQJDQ01uC41x5hme+oul6HjWlMXzTGnf/zrriPdfaOs7aZ/HOtPU396tra2Jb4bM21Dx5SheZe3b+ru57r1KmsfquhxX9ZxW9Y60d2Ope3v+utBf1/T3090l6mq9/PSPkv032/o96Wte/1jRv+zQbN8+ucY3e1a2W1SmeO7rP1B/7NJdx/VPw+Vdj7WP4eWdrwbOv7L296VPbcYqmtFPr/KyhKlTVu/DobWj/46Lu/zq7R56p87y8srho6DsvbryhzX5X2e6atRoTM1NVVEREaNGiUid2/Q/Nxzz0mzZs1KlNP8XUTkueeeE1dX1xKvmzVrdt+06tWrpy2r+x7Nf6ma76W9r1mzZvfNq1GjRiVeN27cuMTryMhIadasmYwaNeq+eRuqS7169UREJDw8vMTvNa816+Gpp57S1jM1NVVGjRqlrX/jxo0NLr9mXeqvK81rTTlD89b9rqljadPT3ValbSdN3cqalu48DZVv1KiRdl66y19aHQxtg4osb0WWW1OXsvY1/e1XFs3yami2t+761N/XNNMv79jQX8ea5Spt/WjWte5+opm3Zp6a/Tw1NdXgutQsr+a17nLp0t9WmmNO//jXXUea7+VtN/3jWH+a+tPTrHPdY62i09Y/pkqbd3n7pu5+rlsvQ+tOfzkqetxrXldkHetvx9L2d0PnSt31pb+f6C5TVe/npX2W6L/f0O9LW/f6x4z+8ho6DvSXt7LbxNjjW39b6c9bf9/T3Uf1z0OlnY8NLZ9uef33a1Rke1f23KJf14p+fpWVJUqbtn4d9NePoeOjvM+v0uapu+5051VeXtHd/qXt15U9rsv7PNNXo0LnqVOnRERk1apVIiJy7do1ERF56623SpTT/F0jLS2txOu33nrrvml99tlnIiIyc+bMEt8189B8L+19mjrozuvUqVMlXl+7dq3E61WrVslbb72lnZbmb5rv+nXRzOvgwYMlymlea+pw7do1bT1PnTolq1atKrEchpZf83f9daWZt6acZl6a32tea75r6lja9HS3lf520kxTUzf9aWn+rqGZp6Hyp06d0s5Ld/lLq4Pmu2Ye+uu2tOWtyHJr6qK/z+hvZ93tVxbN8mpolld3ferva5rpl3ds6K9jTV1LWz+aeWtea9a15rVmnrr7nP661Cyv5rXuMujS31aa9aV//ItIif1fd9qlbTf941h/mvrT0yy37rFW0WnrH1Olzbu8fVN3P9etl+730tZLecd9WcdtWetEd/lL29/114OGppz+fqK7TFW9n5f2WaL/fkO/L23d6x8z+p8NmvL65xjd7WqozhXZJsYe3/rbSn/e+p9Nuvuo/nmotPOx/jm0tOPd0PFf3vau7LlFv64V/fwqK0uUNm39OuivH0PHR3mfX6XNU6OiecXQcVDafl3Z47q8zzN9Neo+nURERET0aKpRo9eJiIiI6NHE0ElEREREimPoJCIiIiLFMXQSERERkeIYOomIiIhIcQydRERERKQ4hk4iIiIiUhxDJxEREREp7v8B0C8mkasME3IAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import AgglomerativeClustering\n",
        "\n",
        "clustering = AgglomerativeClustering(n_clusters=3, linkage=\"ward\").fit(data)\n",
        "plt.scatter(data[:,0], data[:,1], c=clustering.labels_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 453
        },
        "id": "eUiIOKgsFUwR",
        "outputId": "c699423c-3f64-4d67-960b-02c345cc6ba3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f09c6e51bd0>"
            ]
          },
          "metadata": {},
          "execution_count": 29
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Карты Кохонена\n",
        "\n",
        "\n",
        "Крутой разбор: https://habr.com/ru/articles/338868/\n",
        "\n"
      ],
      "metadata": {
        "id": "yhopcWa1svXr"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# simpSOM\n",
        "# https://pypi.org/project/sklearn-som/\n",
        "!pip install sklearn_som"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "p-c3T8S-MGBv",
        "outputId": "c60494ed-ec1a-4775-d573-385e5c77dc67"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: sklearn_som in /usr/local/lib/python3.10/dist-packages (1.1.0)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from sklearn_som) (1.22.4)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn_som.som import SOM"
      ],
      "metadata": {
        "id": "K20DAc2oMHm4"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "iris_som = SOM(m=2, n=1, dim=2)\n",
        "iris_som.fit(data)"
      ],
      "metadata": {
        "id": "128UrG_OMdIE"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "predictions = iris_som.predict(data)"
      ],
      "metadata": {
        "id": "CcMfI0q4Mj9-"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "predictions"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8GV_4E0jMp03",
        "outputId": "8ac225be-ab6f-4501-be95-3c1d3fb108a3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1,\n",
              "       1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0,\n",
              "       0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0,\n",
              "       1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0,\n",
              "       1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0,\n",
              "       0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0,\n",
              "       0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1,\n",
              "       0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0,\n",
              "       0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1,\n",
              "       0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0,\n",
              "       1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0,\n",
              "       1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1,\n",
              "       0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0,\n",
              "       0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1])"
            ]
          },
          "metadata": {},
          "execution_count": 198
        }
      ]
    }
  ]
}