diff --git a/ML/aufgaben/decisiontree/decisiontree_iris.ipynb b/ML/aufgaben/decisiontree/decisiontree_iris.ipynb
deleted file mode 100644
index 8b2b4c0..0000000
--- a/ML/aufgaben/decisiontree/decisiontree_iris.ipynb
+++ /dev/null
@@ -1,1292 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# data prep"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from sklearn import datasets\n",
-    "iris = datasets.load_iris()"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# data understanding"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "600\n",
-      "150\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(iris.data.size)\n",
-    "print(iris.target.size)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[[5.1 3.5 1.4 0.2]\n",
-      " [4.9 3.  1.4 0.2]\n",
-      " [4.7 3.2 1.3 0.2]\n",
-      " [4.6 3.1 1.5 0.2]\n",
-      " [5.  3.6 1.4 0.2]\n",
-      " [5.4 3.9 1.7 0.4]\n",
-      " [4.6 3.4 1.4 0.3]\n",
-      " [5.  3.4 1.5 0.2]\n",
-      " [4.4 2.9 1.4 0.2]\n",
-      " [4.9 3.1 1.5 0.1]\n",
-      " [5.4 3.7 1.5 0.2]\n",
-      " [4.8 3.4 1.6 0.2]\n",
-      " [4.8 3.  1.4 0.1]\n",
-      " [4.3 3.  1.1 0.1]\n",
-      " [5.8 4.  1.2 0.2]\n",
-      " [5.7 4.4 1.5 0.4]\n",
-      " [5.4 3.9 1.3 0.4]\n",
-      " [5.1 3.5 1.4 0.3]\n",
-      " [5.7 3.8 1.7 0.3]\n",
-      " [5.1 3.8 1.5 0.3]\n",
-      " [5.4 3.4 1.7 0.2]\n",
-      " [5.1 3.7 1.5 0.4]\n",
-      " [4.6 3.6 1.  0.2]\n",
-      " [5.1 3.3 1.7 0.5]\n",
-      " [4.8 3.4 1.9 0.2]\n",
-      " [5.  3.  1.6 0.2]\n",
-      " [5.  3.4 1.6 0.4]\n",
-      " [5.2 3.5 1.5 0.2]\n",
-      " [5.2 3.4 1.4 0.2]\n",
-      " [4.7 3.2 1.6 0.2]\n",
-      " [4.8 3.1 1.6 0.2]\n",
-      " [5.4 3.4 1.5 0.4]\n",
-      " [5.2 4.1 1.5 0.1]\n",
-      " [5.5 4.2 1.4 0.2]\n",
-      " [4.9 3.1 1.5 0.2]\n",
-      " [5.  3.2 1.2 0.2]\n",
-      " [5.5 3.5 1.3 0.2]\n",
-      " [4.9 3.6 1.4 0.1]\n",
-      " [4.4 3.  1.3 0.2]\n",
-      " [5.1 3.4 1.5 0.2]\n",
-      " [5.  3.5 1.3 0.3]\n",
-      " [4.5 2.3 1.3 0.3]\n",
-      " [4.4 3.2 1.3 0.2]\n",
-      " [5.  3.5 1.6 0.6]\n",
-      " [5.1 3.8 1.9 0.4]\n",
-      " [4.8 3.  1.4 0.3]\n",
-      " [5.1 3.8 1.6 0.2]\n",
-      " [4.6 3.2 1.4 0.2]\n",
-      " [5.3 3.7 1.5 0.2]\n",
-      " [5.  3.3 1.4 0.2]\n",
-      " [7.  3.2 4.7 1.4]\n",
-      " [6.4 3.2 4.5 1.5]\n",
-      " [6.9 3.1 4.9 1.5]\n",
-      " [5.5 2.3 4.  1.3]\n",
-      " [6.5 2.8 4.6 1.5]\n",
-      " [5.7 2.8 4.5 1.3]\n",
-      " [6.3 3.3 4.7 1.6]\n",
-      " [4.9 2.4 3.3 1. ]\n",
-      " [6.6 2.9 4.6 1.3]\n",
-      " [5.2 2.7 3.9 1.4]\n",
-      " [5.  2.  3.5 1. ]\n",
-      " [5.9 3.  4.2 1.5]\n",
-      " [6.  2.2 4.  1. ]\n",
-      " [6.1 2.9 4.7 1.4]\n",
-      " [5.6 2.9 3.6 1.3]\n",
-      " [6.7 3.1 4.4 1.4]\n",
-      " [5.6 3.  4.5 1.5]\n",
-      " [5.8 2.7 4.1 1. ]\n",
-      " [6.2 2.2 4.5 1.5]\n",
-      " [5.6 2.5 3.9 1.1]\n",
-      " [5.9 3.2 4.8 1.8]\n",
-      " [6.1 2.8 4.  1.3]\n",
-      " [6.3 2.5 4.9 1.5]\n",
-      " [6.1 2.8 4.7 1.2]\n",
-      " [6.4 2.9 4.3 1.3]\n",
-      " [6.6 3.  4.4 1.4]\n",
-      " [6.8 2.8 4.8 1.4]\n",
-      " [6.7 3.  5.  1.7]\n",
-      " [6.  2.9 4.5 1.5]\n",
-      " [5.7 2.6 3.5 1. ]\n",
-      " [5.5 2.4 3.8 1.1]\n",
-      " [5.5 2.4 3.7 1. ]\n",
-      " [5.8 2.7 3.9 1.2]\n",
-      " [6.  2.7 5.1 1.6]\n",
-      " [5.4 3.  4.5 1.5]\n",
-      " [6.  3.4 4.5 1.6]\n",
-      " [6.7 3.1 4.7 1.5]\n",
-      " [6.3 2.3 4.4 1.3]\n",
-      " [5.6 3.  4.1 1.3]\n",
-      " [5.5 2.5 4.  1.3]\n",
-      " [5.5 2.6 4.4 1.2]\n",
-      " [6.1 3.  4.6 1.4]\n",
-      " [5.8 2.6 4.  1.2]\n",
-      " [5.  2.3 3.3 1. ]\n",
-      " [5.6 2.7 4.2 1.3]\n",
-      " [5.7 3.  4.2 1.2]\n",
-      " [5.7 2.9 4.2 1.3]\n",
-      " [6.2 2.9 4.3 1.3]\n",
-      " [5.1 2.5 3.  1.1]\n",
-      " [5.7 2.8 4.1 1.3]\n",
-      " [6.3 3.3 6.  2.5]\n",
-      " [5.8 2.7 5.1 1.9]\n",
-      " [7.1 3.  5.9 2.1]\n",
-      " [6.3 2.9 5.6 1.8]\n",
-      " [6.5 3.  5.8 2.2]\n",
-      " [7.6 3.  6.6 2.1]\n",
-      " [4.9 2.5 4.5 1.7]\n",
-      " [7.3 2.9 6.3 1.8]\n",
-      " [6.7 2.5 5.8 1.8]\n",
-      " [7.2 3.6 6.1 2.5]\n",
-      " [6.5 3.2 5.1 2. ]\n",
-      " [6.4 2.7 5.3 1.9]\n",
-      " [6.8 3.  5.5 2.1]\n",
-      " [5.7 2.5 5.  2. ]\n",
-      " [5.8 2.8 5.1 2.4]\n",
-      " [6.4 3.2 5.3 2.3]\n",
-      " [6.5 3.  5.5 1.8]\n",
-      " [7.7 3.8 6.7 2.2]\n",
-      " [7.7 2.6 6.9 2.3]\n",
-      " [6.  2.2 5.  1.5]\n",
-      " [6.9 3.2 5.7 2.3]\n",
-      " [5.6 2.8 4.9 2. ]\n",
-      " [7.7 2.8 6.7 2. ]\n",
-      " [6.3 2.7 4.9 1.8]\n",
-      " [6.7 3.3 5.7 2.1]\n",
-      " [7.2 3.2 6.  1.8]\n",
-      " [6.2 2.8 4.8 1.8]\n",
-      " [6.1 3.  4.9 1.8]\n",
-      " [6.4 2.8 5.6 2.1]\n",
-      " [7.2 3.  5.8 1.6]\n",
-      " [7.4 2.8 6.1 1.9]\n",
-      " [7.9 3.8 6.4 2. ]\n",
-      " [6.4 2.8 5.6 2.2]\n",
-      " [6.3 2.8 5.1 1.5]\n",
-      " [6.1 2.6 5.6 1.4]\n",
-      " [7.7 3.  6.1 2.3]\n",
-      " [6.3 3.4 5.6 2.4]\n",
-      " [6.4 3.1 5.5 1.8]\n",
-      " [6.  3.  4.8 1.8]\n",
-      " [6.9 3.1 5.4 2.1]\n",
-      " [6.7 3.1 5.6 2.4]\n",
-      " [6.9 3.1 5.1 2.3]\n",
-      " [5.8 2.7 5.1 1.9]\n",
-      " [6.8 3.2 5.9 2.3]\n",
-      " [6.7 3.3 5.7 2.5]\n",
-      " [6.7 3.  5.2 2.3]\n",
-      " [6.3 2.5 5.  1.9]\n",
-      " [6.5 3.  5.2 2. ]\n",
-      " [6.2 3.4 5.4 2.3]\n",
-      " [5.9 3.  5.1 1.8]]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(iris.data)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
-      " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
-      " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n",
-      " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
-      " 2 2]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(iris.target)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)']\n",
-      "['setosa' 'versicolor' 'virginica']\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(iris.feature_names)\n",
-    "print(iris.target_names)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "import matplotlib.pyplot as plt\n",
-    "plt.hist(iris.target, bins=(0,1,2,3), edgecolor='black')\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 800x600 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "X = iris.data[:, :2]  # we only take the first two features.\n",
-    "y = iris.target\n",
-    "plt.figure(2, figsize=(8, 6))\n",
-    "plt.clf()\n",
-    "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Set1, edgecolor='k')\n",
-    "plt.xlabel('Sepal length')\n",
-    "plt.ylabel('Sepal width')\n",
-    "plt.xticks(())\n",
-    "plt.yticks(())\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# train model"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<style>#sk-container-id-1 {\n",
-       "  /* Definition of color scheme common for light and dark mode */\n",
-       "  --sklearn-color-text: #000;\n",
-       "  --sklearn-color-text-muted: #666;\n",
-       "  --sklearn-color-line: gray;\n",
-       "  /* Definition of color scheme for unfitted estimators */\n",
-       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
-       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
-       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
-       "  --sklearn-color-unfitted-level-3: chocolate;\n",
-       "  /* Definition of color scheme for fitted estimators */\n",
-       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
-       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
-       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
-       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1.light {\n",
-       "  /* Specific color for light theme */\n",
-       "  --sklearn-color-text-on-default-background: black;\n",
-       "  --sklearn-color-background: white;\n",
-       "  --sklearn-color-border-box: black;\n",
-       "  --sklearn-color-icon: #696969;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1.dark {\n",
-       "  --sklearn-color-text-on-default-background: white;\n",
-       "  --sklearn-color-background: #111;\n",
-       "  --sklearn-color-border-box: white;\n",
-       "  --sklearn-color-icon: #878787;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 pre {\n",
-       "  padding: 0;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 input.sk-hidden--visually {\n",
-       "  border: 0;\n",
-       "  clip: rect(1px 1px 1px 1px);\n",
-       "  clip: rect(1px, 1px, 1px, 1px);\n",
-       "  height: 1px;\n",
-       "  margin: -1px;\n",
-       "  overflow: hidden;\n",
-       "  padding: 0;\n",
-       "  position: absolute;\n",
-       "  width: 1px;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-dashed-wrapped {\n",
-       "  border: 1px dashed var(--sklearn-color-line);\n",
-       "  margin: 0 0.4em 0.5em 0.4em;\n",
-       "  box-sizing: border-box;\n",
-       "  padding-bottom: 0.4em;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-container {\n",
-       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
-       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
-       "     so we also need the `!important` here to be able to override the\n",
-       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
-       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
-       "  display: inline-block !important;\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-text-repr-fallback {\n",
-       "  display: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-parallel-item,\n",
-       "div.sk-serial,\n",
-       "div.sk-item {\n",
-       "  /* draw centered vertical line to link estimators */\n",
-       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
-       "  background-size: 2px 100%;\n",
-       "  background-repeat: no-repeat;\n",
-       "  background-position: center center;\n",
-       "}\n",
-       "\n",
-       "/* Parallel-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item::after {\n",
-       "  content: \"\";\n",
-       "  width: 100%;\n",
-       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
-       "  flex-grow: 1;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel {\n",
-       "  display: flex;\n",
-       "  align-items: stretch;\n",
-       "  justify-content: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
-       "  align-self: flex-end;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
-       "  align-self: flex-start;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
-       "  width: 0;\n",
-       "}\n",
-       "\n",
-       "/* Serial-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-serial {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "  align-items: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  padding-right: 1em;\n",
-       "  padding-left: 1em;\n",
-       "}\n",
-       "\n",
-       "\n",
-       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
-       "clickable and can be expanded/collapsed.\n",
-       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
-       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
-       "*/\n",
-       "\n",
-       "/* Pipeline and ColumnTransformer style (default) */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable {\n",
-       "  /* Default theme specific background. It is overwritten whether we have a\n",
-       "  specific estimator or a Pipeline/ColumnTransformer */\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable label */\n",
-       "#sk-container-id-1 label.sk-toggleable__label {\n",
-       "  cursor: pointer;\n",
-       "  display: flex;\n",
-       "  width: 100%;\n",
-       "  margin-bottom: 0;\n",
-       "  padding: 0.5em;\n",
-       "  box-sizing: border-box;\n",
-       "  text-align: center;\n",
-       "  align-items: center;\n",
-       "  justify-content: center;\n",
-       "  gap: 0.5em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 label.sk-toggleable__label .caption {\n",
-       "  font-size: 0.6rem;\n",
-       "  font-weight: lighter;\n",
-       "  color: var(--sklearn-color-text-muted);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
-       "  /* Arrow on the left of the label */\n",
-       "  content: \"▸\";\n",
-       "  float: left;\n",
-       "  margin-right: 0.25em;\n",
-       "  color: var(--sklearn-color-icon);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable content - dropdown */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content {\n",
-       "  display: none;\n",
-       "  text-align: left;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content pre {\n",
-       "  margin: 0.2em;\n",
-       "  border-radius: 0.25em;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
-       "  /* Expand drop-down */\n",
-       "  display: block;\n",
-       "  width: 100%;\n",
-       "  overflow: visible;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
-       "  content: \"▾\";\n",
-       "}\n",
-       "\n",
-       "/* Pipeline/ColumnTransformer-specific style */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific style */\n",
-       "\n",
-       "/* Colorize estimator box */\n",
-       "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
-       "#sk-container-id-1 div.sk-label label {\n",
-       "  /* The background is the default theme color */\n",
-       "  color: var(--sklearn-color-text-on-default-background);\n",
-       "}\n",
-       "\n",
-       "/* On hover, darken the color of the background */\n",
-       "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Label box, darken color on hover, fitted */\n",
-       "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator label */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label label {\n",
-       "  font-family: monospace;\n",
-       "  font-weight: bold;\n",
-       "  line-height: 1.2em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label-container {\n",
-       "  text-align: center;\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific */\n",
-       "#sk-container-id-1 div.sk-estimator {\n",
-       "  font-family: monospace;\n",
-       "  border: 1px dotted var(--sklearn-color-border-box);\n",
-       "  border-radius: 0.25em;\n",
-       "  box-sizing: border-box;\n",
-       "  margin-bottom: 0.5em;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-estimator.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "/* on hover */\n",
-       "#sk-container-id-1 div.sk-estimator:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
-       "\n",
-       "/* Common style for \"i\" and \"?\" */\n",
-       "\n",
-       ".sk-estimator-doc-link,\n",
-       "a:link.sk-estimator-doc-link,\n",
-       "a:visited.sk-estimator-doc-link {\n",
-       "  float: right;\n",
-       "  font-size: smaller;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1em;\n",
-       "  height: 1em;\n",
-       "  width: 1em;\n",
-       "  text-decoration: none !important;\n",
-       "  margin-left: 0.5em;\n",
-       "  text-align: center;\n",
-       "  /* unfitted */\n",
-       "  border: var(--sklearn-color-unfitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted,\n",
-       "a:link.sk-estimator-doc-link.fitted,\n",
-       "a:visited.sk-estimator-doc-link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "/* Span, style for the box shown on hovering the info icon */\n",
-       ".sk-estimator-doc-link span {\n",
-       "  display: none;\n",
-       "  z-index: 9999;\n",
-       "  position: relative;\n",
-       "  font-weight: normal;\n",
-       "  right: .2ex;\n",
-       "  padding: .5ex;\n",
-       "  margin: .5ex;\n",
-       "  width: min-content;\n",
-       "  min-width: 20ex;\n",
-       "  max-width: 50ex;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  box-shadow: 2pt 2pt 4pt #999;\n",
-       "  /* unfitted */\n",
-       "  background: var(--sklearn-color-unfitted-level-0);\n",
-       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted span {\n",
-       "  /* fitted */\n",
-       "  background: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link:hover span {\n",
-       "  display: block;\n",
-       "}\n",
-       "\n",
-       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
-       "\n",
-       "#sk-container-id-1 a.estimator_doc_link {\n",
-       "  float: right;\n",
-       "  font-size: 1rem;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1rem;\n",
-       "  height: 1rem;\n",
-       "  width: 1rem;\n",
-       "  text-decoration: none;\n",
-       "  /* unfitted */\n",
-       "  color: var(--sklearn-color-unfitted-level-1);\n",
-       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-1);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "#sk-container-id-1 a.estimator_doc_link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  color: var(--sklearn-color-background);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".estimator-table {\n",
-       "    font-family: monospace;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary {\n",
-       "    padding: .5rem;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary::marker {\n",
-       "    font-size: 0.7rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table details[open] {\n",
-       "    padding-left: 0.1rem;\n",
-       "    padding-right: 0.1rem;\n",
-       "    padding-bottom: 0.3rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table {\n",
-       "    margin-left: auto !important;\n",
-       "    margin-right: auto !important;\n",
-       "    margin-top: 0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
-       "    background-color: #fff;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(even) {\n",
-       "    background-color: #f6f6f6;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:hover {\n",
-       "    background-color: #e0e0e0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table table td {\n",
-       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    `table td`is set in notebook with right text-align.\n",
-       "    We need to overwrite it.\n",
-       "*/\n",
-       ".estimator-table table td.param {\n",
-       "    text-align: left;\n",
-       "    position: relative;\n",
-       "    padding: 0;\n",
-       "}\n",
-       "\n",
-       ".user-set td {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td.value {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    background-color: transparent;\n",
-       "}\n",
-       "\n",
-       ".default td {\n",
-       "    color: black;\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td i,\n",
-       ".default td i {\n",
-       "    color: black;\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    Styles for parameter documentation links\n",
-       "    We need styling for visited so jupyter doesn't overwrite it\n",
-       "*/\n",
-       "a.param-doc-link,\n",
-       "a.param-doc-link:link,\n",
-       "a.param-doc-link:visited {\n",
-       "    text-decoration: underline dashed;\n",
-       "    text-underline-offset: .3em;\n",
-       "    color: inherit;\n",
-       "    display: block;\n",
-       "    padding: .5em;\n",
-       "}\n",
-       "\n",
-       "/* \"hack\" to make the entire area of the cell containing the link clickable */\n",
-       "a.param-doc-link::before {\n",
-       "    position: absolute;\n",
-       "    content: \"\";\n",
-       "    inset: 0;\n",
-       "}\n",
-       "\n",
-       ".param-doc-description {\n",
-       "    display: none;\n",
-       "    position: absolute;\n",
-       "    z-index: 9999;\n",
-       "    left: 0;\n",
-       "    padding: .5ex;\n",
-       "    margin-left: 1.5em;\n",
-       "    color: var(--sklearn-color-text);\n",
-       "    box-shadow: .3em .3em .4em #999;\n",
-       "    width: max-content;\n",
-       "    text-align: left;\n",
-       "    max-height: 10em;\n",
-       "    overflow-y: auto;\n",
-       "\n",
-       "    /* unfitted */\n",
-       "    background: var(--sklearn-color-unfitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* Fitted state for parameter tooltips */\n",
-       ".fitted .param-doc-description {\n",
-       "    /* fitted */\n",
-       "    background: var(--sklearn-color-fitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
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-       "\n",
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-       "    background-repeat: no-repeat;\n",
-       "    background-size: 14px 14px;\n",
-       "    background-position: 0;\n",
-       "    display: inline-block;\n",
-       "    width: 14px;\n",
-       "    height: 14px;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "</style><body><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>DecisionTreeClassifier()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>DecisionTreeClassifier</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html\">?<span>Documentation for DecisionTreeClassifier</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
-       "        <div class=\"estimator-table\">\n",
-       "            <details>\n",
-       "                <summary>Parameters</summary>\n",
-       "                <table class=\"parameters-table\">\n",
-       "                  <tbody>\n",
-       "                    \n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('criterion',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=criterion,-%7B%22gini%22%2C%20%22entropy%22%2C%20%22log_loss%22%7D%2C%20default%3D%22gini%22\">\n",
-       "            criterion\n",
-       "            <span class=\"param-doc-description\">criterion: {\"gini\", \"entropy\", \"log_loss\"}, default=\"gini\"<br><br>The function to measure the quality of a split. Supported criteria are<br>\"gini\" for the Gini impurity and \"log_loss\" and \"entropy\" both for the<br>Shannon information gain, see :ref:`tree_mathematical_formulation`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;gini&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('splitter',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=splitter,-%7B%22best%22%2C%20%22random%22%7D%2C%20default%3D%22best%22\">\n",
-       "            splitter\n",
-       "            <span class=\"param-doc-description\">splitter: {\"best\", \"random\"}, default=\"best\"<br><br>The strategy used to choose the split at each node. Supported<br>strategies are \"best\" to choose the best split and \"random\" to choose<br>the best random split.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;best&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_depth',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=max_depth,-int%2C%20default%3DNone\">\n",
-       "            max_depth\n",
-       "            <span class=\"param-doc-description\">max_depth: int, default=None<br><br>The maximum depth of the tree. If None, then nodes are expanded until<br>all leaves are pure or until all leaves contain less than<br>min_samples_split samples.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('min_samples_split',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=min_samples_split,-int%20or%20float%2C%20default%3D2\">\n",
-       "            min_samples_split\n",
-       "            <span class=\"param-doc-description\">min_samples_split: int or float, default=2<br><br>The minimum number of samples required to split an internal node:<br><br>- If int, then consider `min_samples_split` as the minimum number.<br>- If float, then `min_samples_split` is a fraction and<br>  `ceil(min_samples_split * n_samples)` are the minimum<br>  number of samples for each split.<br><br>.. versionchanged:: 0.18<br>   Added float values for fractions.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">2</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('min_samples_leaf',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=min_samples_leaf,-int%20or%20float%2C%20default%3D1\">\n",
-       "            min_samples_leaf\n",
-       "            <span class=\"param-doc-description\">min_samples_leaf: int or float, default=1<br><br>The minimum number of samples required to be at a leaf node.<br>A split point at any depth will only be considered if it leaves at<br>least ``min_samples_leaf`` training samples in each of the left and<br>right branches.  This may have the effect of smoothing the model,<br>especially in regression.<br><br>- If int, then consider `min_samples_leaf` as the minimum number.<br>- If float, then `min_samples_leaf` is a fraction and<br>  `ceil(min_samples_leaf * n_samples)` are the minimum<br>  number of samples for each node.<br><br>.. versionchanged:: 0.18<br>   Added float values for fractions.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">1</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('min_weight_fraction_leaf',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=min_weight_fraction_leaf,-float%2C%20default%3D0.0\">\n",
-       "            min_weight_fraction_leaf\n",
-       "            <span class=\"param-doc-description\">min_weight_fraction_leaf: float, default=0.0<br><br>The minimum weighted fraction of the sum total of weights (of all<br>the input samples) required to be at a leaf node. Samples have<br>equal weight when sample_weight is not provided.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_features',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=max_features,-int%2C%20float%20or%20%7B%22sqrt%22%2C%20%22log2%22%7D%2C%20default%3DNone\">\n",
-       "            max_features\n",
-       "            <span class=\"param-doc-description\">max_features: int, float or {\"sqrt\", \"log2\"}, default=None<br><br>The number of features to consider when looking for the best split:<br><br>- If int, then consider `max_features` features at each split.<br>- If float, then `max_features` is a fraction and<br>  `max(1, int(max_features * n_features_in_))` features are considered at<br>  each split.<br>- If \"sqrt\", then `max_features=sqrt(n_features)`.<br>- If \"log2\", then `max_features=log2(n_features)`.<br>- If None, then `max_features=n_features`.<br><br>.. note::<br><br>    The search for a split does not stop until at least one<br>    valid partition of the node samples is found, even if it requires to<br>    effectively inspect more than ``max_features`` features.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('random_state',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=random_state,-int%2C%20RandomState%20instance%20or%20None%2C%20default%3DNone\">\n",
-       "            random_state\n",
-       "            <span class=\"param-doc-description\">random_state: int, RandomState instance or None, default=None<br><br>Controls the randomness of the estimator. The features are always<br>randomly permuted at each split, even if ``splitter`` is set to<br>``\"best\"``. When ``max_features < n_features``, the algorithm will<br>select ``max_features`` at random at each split before finding the best<br>split among them. But the best found split may vary across different<br>runs, even if ``max_features=n_features``. That is the case, if the<br>improvement of the criterion is identical for several splits and one<br>split has to be selected at random. To obtain a deterministic behaviour<br>during fitting, ``random_state`` has to be fixed to an integer.<br>See :term:`Glossary <random_state>` for details.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_leaf_nodes',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=max_leaf_nodes,-int%2C%20default%3DNone\">\n",
-       "            max_leaf_nodes\n",
-       "            <span class=\"param-doc-description\">max_leaf_nodes: int, default=None<br><br>Grow a tree with ``max_leaf_nodes`` in best-first fashion.<br>Best nodes are defined as relative reduction in impurity.<br>If None then unlimited number of leaf nodes.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('min_impurity_decrease',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=min_impurity_decrease,-float%2C%20default%3D0.0\">\n",
-       "            min_impurity_decrease\n",
-       "            <span class=\"param-doc-description\">min_impurity_decrease: float, default=0.0<br><br>A node will be split if this split induces a decrease of the impurity<br>greater than or equal to this value.<br><br>The weighted impurity decrease equation is the following::<br><br>    N_t / N * (impurity - N_t_R / N_t * right_impurity<br>                        - N_t_L / N_t * left_impurity)<br><br>where ``N`` is the total number of samples, ``N_t`` is the number of<br>samples at the current node, ``N_t_L`` is the number of samples in the<br>left child, and ``N_t_R`` is the number of samples in the right child.<br><br>``N``, ``N_t``, ``N_t_R`` and ``N_t_L`` all refer to the weighted sum,<br>if ``sample_weight`` is passed.<br><br>.. versionadded:: 0.19</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('class_weight',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=class_weight,-dict%2C%20list%20of%20dict%20or%20%22balanced%22%2C%20default%3DNone\">\n",
-       "            class_weight\n",
-       "            <span class=\"param-doc-description\">class_weight: dict, list of dict or \"balanced\", default=None<br><br>Weights associated with classes in the form ``{class_label: weight}``.<br>If None, all classes are supposed to have weight one. For<br>multi-output problems, a list of dicts can be provided in the same<br>order as the columns of y.<br><br>Note that for multioutput (including multilabel) weights should be<br>defined for each class of every column in its own dict. For example,<br>for four-class multilabel classification weights should be<br>[{0: 1, 1: 1}, {0: 1, 1: 5}, {0: 1, 1: 1}, {0: 1, 1: 1}] instead of<br>[{1:1}, {2:5}, {3:1}, {4:1}].<br><br>The \"balanced\" mode uses the values of y to automatically adjust<br>weights inversely proportional to class frequencies in the input data<br>as ``n_samples / (n_classes * np.bincount(y))``<br><br>For multi-output, the weights of each column of y will be multiplied.<br><br>Note that these weights will be multiplied with sample_weight (passed<br>through the fit method) if sample_weight is specified.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('ccp_alpha',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=ccp_alpha,-non-negative%20float%2C%20default%3D0.0\">\n",
-       "            ccp_alpha\n",
-       "            <span class=\"param-doc-description\">ccp_alpha: non-negative float, default=0.0<br><br>Complexity parameter used for Minimal Cost-Complexity Pruning. The<br>subtree with the largest cost complexity that is smaller than<br>``ccp_alpha`` will be chosen. By default, no pruning is performed. See<br>:ref:`minimal_cost_complexity_pruning` for details. See<br>:ref:`sphx_glr_auto_examples_tree_plot_cost_complexity_pruning.py`<br>for an example of such pruning.<br><br>.. versionadded:: 0.22</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('monotonic_cst',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.tree.DecisionTreeClassifier.html#:~:text=monotonic_cst,-array-like%20of%20int%20of%20shape%20%28n_features%29%2C%20default%3DNone\">\n",
-       "            monotonic_cst\n",
-       "            <span class=\"param-doc-description\">monotonic_cst: array-like of int of shape (n_features), default=None<br><br>Indicates the monotonicity constraint to enforce on each feature.<br>  - 1: monotonic increase<br>  - 0: no constraint<br>  - -1: monotonic decrease<br><br>If monotonic_cst is None, no constraints are applied.<br><br>Monotonicity constraints are not supported for:<br>  - multiclass classifications (i.e. when `n_classes > 2`),<br>  - multioutput classifications (i.e. when `n_outputs_ > 1`),<br>  - classifications trained on data with missing values.<br><br>The constraints hold over the probability of the positive class.<br><br>Read more in the :ref:`User Guide <monotonic_cst_gbdt>`.<br><br>.. versionadded:: 1.4</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "                  </tbody>\n",
-       "                </table>\n",
-       "            </details>\n",
-       "        </div>\n",
-       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
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-       "\n",
-       "    // Check VSCode theme\n",
-       "    const themeKindAttr = body.getAttribute('data-vscode-theme-kind');\n",
-       "    const themeNameAttr = body.getAttribute('data-vscode-theme-name');\n",
-       "\n",
-       "    if (themeKindAttr && themeNameAttr) {\n",
-       "        const themeKind = themeKindAttr.toLowerCase();\n",
-       "        const themeName = themeNameAttr.toLowerCase();\n",
-       "\n",
-       "        if (themeKind.includes(\"dark\") || themeName.includes(\"dark\")) {\n",
-       "            return \"dark\";\n",
-       "        }\n",
-       "        if (themeKind.includes(\"light\") || themeName.includes(\"light\")) {\n",
-       "            return \"light\";\n",
-       "        }\n",
-       "    }\n",
-       "\n",
-       "    // Check Jupyter theme\n",
-       "    if (body.getAttribute('data-jp-theme-light') === 'false') {\n",
-       "        return 'dark';\n",
-       "    } else if (body.getAttribute('data-jp-theme-light') === 'true') {\n",
-       "        return 'light';\n",
-       "    }\n",
-       "\n",
-       "    // Guess based on a parent element's color\n",
-       "    const color = window.getComputedStyle(element.parentNode, null).getPropertyValue('color');\n",
-       "    const match = color.match(/^rgb\\s*\\(\\s*(\\d+)\\s*,\\s*(\\d+)\\s*,\\s*(\\d+)\\s*\\)\\s*$/i);\n",
-       "    if (match) {\n",
-       "        const [r, g, b] = [\n",
-       "            parseFloat(match[1]),\n",
-       "            parseFloat(match[2]),\n",
-       "            parseFloat(match[3])\n",
-       "        ];\n",
-       "\n",
-       "        // https://en.wikipedia.org/wiki/HSL_and_HSV#Lightness\n",
-       "        const luma = 0.299 * r + 0.587 * g + 0.114 * b;\n",
-       "\n",
-       "        if (luma > 180) {\n",
-       "            // If the text is very bright we have a dark theme\n",
-       "            return 'dark';\n",
-       "        }\n",
-       "        if (luma < 75) {\n",
-       "            // If the text is very dark we have a light theme\n",
-       "            return 'light';\n",
-       "        }\n",
-       "        // Otherwise fall back to the next heuristic.\n",
-       "    }\n",
-       "\n",
-       "    // Fallback to system preference\n",
-       "    return window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light';\n",
-       "}\n",
-       "\n",
-       "\n",
-       "function forceTheme(elementId) {\n",
-       "    const estimatorElement = document.querySelector(`#${elementId}`);\n",
-       "    if (estimatorElement === null) {\n",
-       "        console.error(`Element with id ${elementId} not found.`);\n",
-       "    } else {\n",
-       "        const theme = detectTheme(estimatorElement);\n",
-       "        estimatorElement.classList.add(theme);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "forceTheme('sk-container-id-1');</script></body>"
-      ],
-      "text/plain": [
-       "DecisionTreeClassifier()"
-      ]
-     },
-     "execution_count": 8,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "from sklearn.tree import DecisionTreeClassifier\n",
-    "classifier = DecisionTreeClassifier()\n",
-    "classifier.fit(iris.data[:-1], iris.target[:-1])  # use all but the last sample for training"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# use model for prediction"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "predicted [2] vs. real [2]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(\"predicted\",classifier.predict(iris.data[-1:]),\"vs. real\",iris.target[-1:])"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# export model for visual inspection"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from sklearn import tree\n",
-    "tree.export_graphviz(classifier,out_file='tree.dot', \n",
-    "                         feature_names=iris.feature_names,  \n",
-    "                         class_names=iris.target_names,  \n",
-    "                         filled=True, rounded=True,  \n",
-    "                         special_characters=True)         "
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.14.4"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 4
-}
diff --git a/ML/aufgaben/kmeans/kmeans_digits.ipynb b/ML/aufgaben/kmeans/kmeans_digits.ipynb
deleted file mode 100644
index 8c53e0b..0000000
--- a/ML/aufgaben/kmeans/kmeans_digits.ipynb
+++ /dev/null
@@ -1,2108 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "(1797, 64)\n",
-      "10\n"
-     ]
-    }
-   ],
-   "source": [
-    "import numpy as np\n",
-    "from sklearn import datasets\n",
-    "digits = datasets.load_digits()\n",
-    "print(digits.data.shape)\n",
-    "print(len(np.unique(digits.target)))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[ 0.  0.  5. 13.  9.  1.  0.  0.  0.  0. 13. 15. 10. 15.  5.  0.  0.  3.\n",
-      " 15.  2.  0. 11.  8.  0.  0.  4. 12.  0.  0.  8.  8.  0.  0.  5.  8.  0.\n",
-      "  0.  9.  8.  0.  0.  4. 11.  0.  1. 12.  7.  0.  0.  2. 14.  5. 10. 12.\n",
-      "  0.  0.  0.  0.  6. 13. 10.  0.  0.  0.]\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "2\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "3\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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0GAAgPbgKzX/r7e3VH/7wB/X09GjBggU3PS8ejysejydvx2KxVJ8SAOBDrj8McPr0ad1zzz0KBoN68cUXVV9fr+nTp9/0/EgkolAolDwKCgpuaTAAwF9ch+ahhx5Se3u7/v73v2vdunWqqKjQ+++/f9Pzq6urFY1Gk0dHR8ctDQYA+Ivrl86ysrL0wAMPSJLmzJmj1tZWvfbaa9q5c+cNzw8GgwoGg7e2EgDgW7f8dTSJRKLPezAAAPw3V1c01dXVKi8v1+TJk9Xd3a19+/apqalJjY2NVvsAAD7nKjSdnZ367ne/q88//1yhUEjFxcVqbGzU008/bbUPAOBzrkKzZ88eqx0AgDTF9zoDAJgiNAAAU4QGAGCK0AAATBEaAIApQgMAMEVoAACmCA0AwBShAQCYIjQAAFOEBgBgitAAAEwRGgCAKUIDADBFaAAApggNAMCUqx98NtwtX77c6wkp+/nPf+71hJTs3bvX6wnDzsaNG72ekLI1a9Z4PQE3wBUNAMAUoQEAmCI0AABThAYAYIrQAABMERoAgClCAwAwRWgAAKYIDQDAFKEBAJgiNAAAU4QGAGCK0AAATBEaAIApQgMAMEVoAACmCA0AwBShAQCYuqXQbNu2TYFAQJs2bRqiOQCAdJNyaFpbW7Vz504VFxcP5R4AQJpJKTRXr17V6tWrtXv3bo0ZM2aoNwEA0khKoQmHw1q6dKkWL1484LnxeFyxWKzPAQAYPjLdPmD//v06deqUWltbB3V+JBLRj370I9fDAADpwdUVTUdHhzZu3Kjf/va3Gjly5KAeU11drWg0mjw6OjpSGgoA8CdXVzRtbW3q7OzUo48+mryvt7dXx44d069+9SvF43FlZGT0eUwwGFQwGByatQAA33EVmkWLFun06dN97luzZo2mTZumV1555brIAADgKjTZ2dmaOXNmn/vuvvtujRs37rr7AQCQ+M4AAABjrj919r+ampqGYAYAIF1xRQMAMEVoAACmCA0AwBShAQCYIjQAAFOEBgBgitAAAEwRGgCAKUIDADBFaAAApggNAMAUoQEAmCI0AABThAYAYIrQAABMERoAgKlb/sFnw0lXV5fXE1IWjUa9npCSiooKryekbNasWV5PGHYaGhq8noAb4IoGAGCK0AAATBEaAIApQgMAMEVoAACmCA0AwBShAQCYIjQAAFOEBgBgitAAAEwRGgCAKUIDADBFaAAApggNAMAUoQEAmCI0AABThAYAYIrQAABMERoAgClXodmyZYsCgUCfY9q0aVbbAABpINPtA2bMmKEjR478/y+Q6fqXAAAMI64rkZmZqYkTJ1psAQCkIdfv0Zw7d075+fm67777tHr1al28eLHf8+PxuGKxWJ8DADB8uArN/PnzVVdXp0OHDqmmpkYXLlzQ448/ru7u7ps+JhKJKBQKJY+CgoJbHg0A8I+A4zhOqg/u6upSYWGhXn31Vb3wwgs3PCcejysejydvx2Ix38Zm4cKFXk9IWUNDg9cTUhIKhbyekLJ//OMfXk9ISUlJidcTUjZmzBivJ6Skq6vL6wm3JBqNKicn56b//JbeyR89erQefPBBnT9//qbnBINBBYPBW3kaAICP3dLX0Vy9elUffvih8vLyhmoPACDNuArNyy+/rObmZn388cd699139a1vfUsZGRlatWqV1T4AgM+5euns008/1apVq/Svf/1L48eP12OPPaaWlhaNHz/eah8AwOdchWb//v1WOwAAaYrvdQYAMEVoAACmCA0AwBShAQCYIjQAAFOEBgBgitAAAEwRGgCAKUIDADBFaAAApggNAMAUoQEAmCI0AABThAYAYIrQAABMERoAgClXP/hsuGtqavJ6QspGjx7t9YSUzJo1y+sJKfPr75e9e/d6PSFlXV1dXk/ADXBFAwAwRWgAAKYIDQDAFKEBAJgiNAAAU4QGAGCK0AAATBEaAIApQgMAMEVoAACmCA0AwBShAQCYIjQAAFOEBgBgitAAAEwRGgCAKUIDADBFaAAAplyH5rPPPtPzzz+vcePGadSoUXrkkUd08uRJi20AgDSQ6ebkL7/8UmVlZXryySd18OBBjR8/XufOndOYMWOs9gEAfM5VaH7605+qoKBAtbW1yfumTJky5KMAAOnD1Utnb731lkpLS7VixQrl5uZq9uzZ2r17d7+PicfjisVifQ4AwPDhKjQfffSRampqNHXqVDU2NmrdunXasGGD9u7de9PHRCIRhUKh5FFQUHDLowEA/hFwHMcZ7MlZWVkqLS3Vu+++m7xvw4YNam1t1fHjx2/4mHg8rng8nrwdi8WIDQZt1qxZXk9IWVNTk9cTUtLQ0OD1hJRVVlZ6PWFYikajysnJuek/d3VFk5eXp+nTp/e57+GHH9bFixdv+phgMKicnJw+BwBg+HAVmrKyMp09e7bPfR988IEKCwuHdBQAIH24Cs1LL72klpYWbd26VefPn9e+ffu0a9cuhcNhq30AAJ9zFZq5c+eqvr5ev/vd7zRz5kz9+Mc/1vbt27V69WqrfQAAn3P1dTSS9Oyzz+rZZ5+12AIASEN8rzMAgClCAwAwRWgAAKYIDQDAFKEBAJgiNAAAU4QGAGCK0AAATBEaAIApQgMAMEVoAACmCA0AwBShAQCYIjQAAFOEBgBgitAAAEy5/sFnwO3U1dXl9YSUhUIhryekpK6uzusJSDNc0QAATBEaAIApQgMAMEVoAACmCA0AwBShAQCYIjQAAFOEBgBgitAAAEwRGgCAKUIDADBFaAAApggNAMAUoQEAmCI0AABThAYAYIrQAABMERoAgClCAwAw5So0RUVFCgQC1x3hcNhqHwDA5zLdnNza2qre3t7k7TNnzujpp5/WihUrhnwYACA9uArN+PHj+9zetm2b7r//fj3xxBNDOgoAkD5chea/Xbt2TW+88YaqqqoUCARuel48Hlc8Hk/ejsViqT4lAMCHUv4wQENDg7q6ulRZWdnveZFIRKFQKHkUFBSk+pQAAB9KOTR79uxReXm58vPz+z2vurpa0Wg0eXR0dKT6lAAAH0rppbNPPvlER44c0Z/+9KcBzw0GgwoGg6k8DQAgDaR0RVNbW6vc3FwtXbp0qPcAANKM69AkEgnV1taqoqJCmZkpf5YAADBMuA7NkSNHdPHiRa1du9ZiDwAgzbi+JFmyZIkcx7HYAgBIQ3yvMwCAKUIDADBFaAAApggNAMAUoQEAmCI0AABThAYAYIrQAABMERoAgClCAwAwRWgAAKYIDQDAFKEBAJgiNAAAU4QGAGDqtv+ITH6WDdxIJBJeT0hZLBbzekJK/v3vf3s9AT4z0J/rtz003d3dt/sp4WMXL170ekLKQqGQ1xOA26K7u7vf3+8B5zZfYiQSCV26dEnZ2dkKBAJD+mvHYjEVFBSoo6NDOTk5Q/prW/Lrbsm/2/26W/Lvdr/ulvy73Xq34zjq7u5Wfn6+Roy4+Tsxt/2KZsSIEZo0aZLpc+Tk5PjqN8N/+HW35N/tft0t+Xe7X3dL/t1uuXswV+58GAAAYIrQAABMpVVogsGgNm/erGAw6PUUV/y6W/Lvdr/ulvy73a+7Jf9uv1N23/YPAwAAhpe0uqIBANx5CA0AwBShAQCYIjQAAFOEBgBgitAAAEwRGgCAKUIDADD1f9w0SIch2BeyAAAAAElFTkSuQmCC",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "4\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "5\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "6\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "7\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "8\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 640x480 with 0 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 480x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "9\n"
-     ]
-    }
-   ],
-   "source": [
-    "import matplotlib.pyplot as plt \n",
-    "\n",
-    "print(digits.data[0])\n",
-    "\n",
-    "for i in range(0,10):\n",
-    "    plt.gray() \n",
-    "    plt.matshow(digits.images[i]) \n",
-    "    plt.show() \n",
-    "\n",
-    "    print(digits.target[i])"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from sklearn.cluster import KMeans\n",
-    "from sklearn import metrics"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<style>#sk-container-id-2 {\n",
-       "  /* Definition of color scheme common for light and dark mode */\n",
-       "  --sklearn-color-text: #000;\n",
-       "  --sklearn-color-text-muted: #666;\n",
-       "  --sklearn-color-line: gray;\n",
-       "  /* Definition of color scheme for unfitted estimators */\n",
-       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
-       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
-       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
-       "  --sklearn-color-unfitted-level-3: chocolate;\n",
-       "  /* Definition of color scheme for fitted estimators */\n",
-       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
-       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
-       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
-       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2.light {\n",
-       "  /* Specific color for light theme */\n",
-       "  --sklearn-color-text-on-default-background: black;\n",
-       "  --sklearn-color-background: white;\n",
-       "  --sklearn-color-border-box: black;\n",
-       "  --sklearn-color-icon: #696969;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2.dark {\n",
-       "  --sklearn-color-text-on-default-background: white;\n",
-       "  --sklearn-color-background: #111;\n",
-       "  --sklearn-color-border-box: white;\n",
-       "  --sklearn-color-icon: #878787;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 pre {\n",
-       "  padding: 0;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 input.sk-hidden--visually {\n",
-       "  border: 0;\n",
-       "  clip: rect(1px 1px 1px 1px);\n",
-       "  clip: rect(1px, 1px, 1px, 1px);\n",
-       "  height: 1px;\n",
-       "  margin: -1px;\n",
-       "  overflow: hidden;\n",
-       "  padding: 0;\n",
-       "  position: absolute;\n",
-       "  width: 1px;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-dashed-wrapped {\n",
-       "  border: 1px dashed var(--sklearn-color-line);\n",
-       "  margin: 0 0.4em 0.5em 0.4em;\n",
-       "  box-sizing: border-box;\n",
-       "  padding-bottom: 0.4em;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-container {\n",
-       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
-       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
-       "     so we also need the `!important` here to be able to override the\n",
-       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
-       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
-       "  display: inline-block !important;\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-text-repr-fallback {\n",
-       "  display: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-parallel-item,\n",
-       "div.sk-serial,\n",
-       "div.sk-item {\n",
-       "  /* draw centered vertical line to link estimators */\n",
-       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
-       "  background-size: 2px 100%;\n",
-       "  background-repeat: no-repeat;\n",
-       "  background-position: center center;\n",
-       "}\n",
-       "\n",
-       "/* Parallel-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item::after {\n",
-       "  content: \"\";\n",
-       "  width: 100%;\n",
-       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
-       "  flex-grow: 1;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel {\n",
-       "  display: flex;\n",
-       "  align-items: stretch;\n",
-       "  justify-content: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item:first-child::after {\n",
-       "  align-self: flex-end;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item:last-child::after {\n",
-       "  align-self: flex-start;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item:only-child::after {\n",
-       "  width: 0;\n",
-       "}\n",
-       "\n",
-       "/* Serial-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-serial {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "  align-items: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  padding-right: 1em;\n",
-       "  padding-left: 1em;\n",
-       "}\n",
-       "\n",
-       "\n",
-       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
-       "clickable and can be expanded/collapsed.\n",
-       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
-       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
-       "*/\n",
-       "\n",
-       "/* Pipeline and ColumnTransformer style (default) */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable {\n",
-       "  /* Default theme specific background. It is overwritten whether we have a\n",
-       "  specific estimator or a Pipeline/ColumnTransformer */\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable label */\n",
-       "#sk-container-id-2 label.sk-toggleable__label {\n",
-       "  cursor: pointer;\n",
-       "  display: flex;\n",
-       "  width: 100%;\n",
-       "  margin-bottom: 0;\n",
-       "  padding: 0.5em;\n",
-       "  box-sizing: border-box;\n",
-       "  text-align: center;\n",
-       "  align-items: center;\n",
-       "  justify-content: center;\n",
-       "  gap: 0.5em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 label.sk-toggleable__label .caption {\n",
-       "  font-size: 0.6rem;\n",
-       "  font-weight: lighter;\n",
-       "  color: var(--sklearn-color-text-muted);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 label.sk-toggleable__label-arrow:before {\n",
-       "  /* Arrow on the left of the label */\n",
-       "  content: \"▸\";\n",
-       "  float: left;\n",
-       "  margin-right: 0.25em;\n",
-       "  color: var(--sklearn-color-icon);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable content - dropdown */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content {\n",
-       "  display: none;\n",
-       "  text-align: left;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content pre {\n",
-       "  margin: 0.2em;\n",
-       "  border-radius: 0.25em;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content.fitted pre {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
-       "  /* Expand drop-down */\n",
-       "  display: block;\n",
-       "  width: 100%;\n",
-       "  overflow: visible;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
-       "  content: \"▾\";\n",
-       "}\n",
-       "\n",
-       "/* Pipeline/ColumnTransformer-specific style */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific style */\n",
-       "\n",
-       "/* Colorize estimator box */\n",
-       "#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label label.sk-toggleable__label,\n",
-       "#sk-container-id-2 div.sk-label label {\n",
-       "  /* The background is the default theme color */\n",
-       "  color: var(--sklearn-color-text-on-default-background);\n",
-       "}\n",
-       "\n",
-       "/* On hover, darken the color of the background */\n",
-       "#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Label box, darken color on hover, fitted */\n",
-       "#sk-container-id-2 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator label */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label label {\n",
-       "  font-family: monospace;\n",
-       "  font-weight: bold;\n",
-       "  line-height: 1.2em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label-container {\n",
-       "  text-align: center;\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific */\n",
-       "#sk-container-id-2 div.sk-estimator {\n",
-       "  font-family: monospace;\n",
-       "  border: 1px dotted var(--sklearn-color-border-box);\n",
-       "  border-radius: 0.25em;\n",
-       "  box-sizing: border-box;\n",
-       "  margin-bottom: 0.5em;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-estimator.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "/* on hover */\n",
-       "#sk-container-id-2 div.sk-estimator:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-estimator.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
-       "\n",
-       "/* Common style for \"i\" and \"?\" */\n",
-       "\n",
-       ".sk-estimator-doc-link,\n",
-       "a:link.sk-estimator-doc-link,\n",
-       "a:visited.sk-estimator-doc-link {\n",
-       "  float: right;\n",
-       "  font-size: smaller;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1em;\n",
-       "  height: 1em;\n",
-       "  width: 1em;\n",
-       "  text-decoration: none !important;\n",
-       "  margin-left: 0.5em;\n",
-       "  text-align: center;\n",
-       "  /* unfitted */\n",
-       "  border: var(--sklearn-color-unfitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted,\n",
-       "a:link.sk-estimator-doc-link.fitted,\n",
-       "a:visited.sk-estimator-doc-link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "/* Span, style for the box shown on hovering the info icon */\n",
-       ".sk-estimator-doc-link span {\n",
-       "  display: none;\n",
-       "  z-index: 9999;\n",
-       "  position: relative;\n",
-       "  font-weight: normal;\n",
-       "  right: .2ex;\n",
-       "  padding: .5ex;\n",
-       "  margin: .5ex;\n",
-       "  width: min-content;\n",
-       "  min-width: 20ex;\n",
-       "  max-width: 50ex;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  box-shadow: 2pt 2pt 4pt #999;\n",
-       "  /* unfitted */\n",
-       "  background: var(--sklearn-color-unfitted-level-0);\n",
-       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted span {\n",
-       "  /* fitted */\n",
-       "  background: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link:hover span {\n",
-       "  display: block;\n",
-       "}\n",
-       "\n",
-       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
-       "\n",
-       "#sk-container-id-2 a.estimator_doc_link {\n",
-       "  float: right;\n",
-       "  font-size: 1rem;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1rem;\n",
-       "  height: 1rem;\n",
-       "  width: 1rem;\n",
-       "  text-decoration: none;\n",
-       "  /* unfitted */\n",
-       "  color: var(--sklearn-color-unfitted-level-1);\n",
-       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 a.estimator_doc_link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-1);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "#sk-container-id-2 a.estimator_doc_link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  color: var(--sklearn-color-background);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 a.estimator_doc_link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".estimator-table {\n",
-       "    font-family: monospace;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary {\n",
-       "    padding: .5rem;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary::marker {\n",
-       "    font-size: 0.7rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table details[open] {\n",
-       "    padding-left: 0.1rem;\n",
-       "    padding-right: 0.1rem;\n",
-       "    padding-bottom: 0.3rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table {\n",
-       "    margin-left: auto !important;\n",
-       "    margin-right: auto !important;\n",
-       "    margin-top: 0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
-       "    background-color: #fff;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(even) {\n",
-       "    background-color: #f6f6f6;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:hover {\n",
-       "    background-color: #e0e0e0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table table td {\n",
-       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    `table td`is set in notebook with right text-align.\n",
-       "    We need to overwrite it.\n",
-       "*/\n",
-       ".estimator-table table td.param {\n",
-       "    text-align: left;\n",
-       "    position: relative;\n",
-       "    padding: 0;\n",
-       "}\n",
-       "\n",
-       ".user-set td {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td.value {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    background-color: transparent;\n",
-       "}\n",
-       "\n",
-       ".default td {\n",
-       "    color: black;\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td i,\n",
-       ".default td i {\n",
-       "    color: black;\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    Styles for parameter documentation links\n",
-       "    We need styling for visited so jupyter doesn't overwrite it\n",
-       "*/\n",
-       "a.param-doc-link,\n",
-       "a.param-doc-link:link,\n",
-       "a.param-doc-link:visited {\n",
-       "    text-decoration: underline dashed;\n",
-       "    text-underline-offset: .3em;\n",
-       "    color: inherit;\n",
-       "    display: block;\n",
-       "    padding: .5em;\n",
-       "}\n",
-       "\n",
-       "/* \"hack\" to make the entire area of the cell containing the link clickable */\n",
-       "a.param-doc-link::before {\n",
-       "    position: absolute;\n",
-       "    content: \"\";\n",
-       "    inset: 0;\n",
-       "}\n",
-       "\n",
-       ".param-doc-description {\n",
-       "    display: none;\n",
-       "    position: absolute;\n",
-       "    z-index: 9999;\n",
-       "    left: 0;\n",
-       "    padding: .5ex;\n",
-       "    margin-left: 1.5em;\n",
-       "    color: var(--sklearn-color-text);\n",
-       "    box-shadow: .3em .3em .4em #999;\n",
-       "    width: max-content;\n",
-       "    text-align: left;\n",
-       "    max-height: 10em;\n",
-       "    overflow-y: auto;\n",
-       "\n",
-       "    /* unfitted */\n",
-       "    background: var(--sklearn-color-unfitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* Fitted state for parameter tooltips */\n",
-       ".fitted .param-doc-description {\n",
-       "    /* fitted */\n",
-       "    background: var(--sklearn-color-fitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".param-doc-link:hover .param-doc-description {\n",
-       "    display: block;\n",
-       "}\n",
-       "\n",
-       ".copy-paste-icon {\n",
-       "    background-image: url(data:image/svg+xml;base64,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);\n",
-       "    background-repeat: no-repeat;\n",
-       "    background-size: 14px 14px;\n",
-       "    background-position: 0;\n",
-       "    display: inline-block;\n",
-       "    width: 14px;\n",
-       "    height: 14px;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "</style><body><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(init=&#x27;random&#x27;, n_clusters=10, n_init=1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>KMeans</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html\">?<span>Documentation for KMeans</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
-       "        <div class=\"estimator-table\">\n",
-       "            <details>\n",
-       "                <summary>Parameters</summary>\n",
-       "                <table class=\"parameters-table\">\n",
-       "                  <tbody>\n",
-       "                    \n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_clusters',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_clusters,-int%2C%20default%3D8\">\n",
-       "            n_clusters\n",
-       "            <span class=\"param-doc-description\">n_clusters: int, default=8<br><br>The number of clusters to form as well as the number of<br>centroids to generate.<br><br>For an example of how to choose an optimal value for `n_clusters` refer to<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_silhouette_analysis.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">10</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=init,-%7B%27k-means%2B%2B%27%2C%20%27random%27%7D%2C%20callable%20or%20array-like%20of%20shape%20%20%20%20%20%20%20%20%20%20%20%20%20%28n_clusters%2C%20n_features%29%2C%20default%3D%27k-means%2B%2B%27\">\n",
-       "            init\n",
-       "            <span class=\"param-doc-description\">init: {'k-means++', 'random'}, callable or array-like of shape             (n_clusters, n_features), default='k-means++'<br><br>Method for initialization:<br><br>* 'k-means++' : selects initial cluster centroids using sampling             based on an empirical probability distribution of the points'             contribution to the overall inertia. This technique speeds up             convergence. The algorithm implemented is \"greedy k-means++\". It             differs from the vanilla k-means++ by making several trials at             each sampling step and choosing the best centroid among them.<br><br>* 'random': choose `n_clusters` observations (rows) at random from         data for the initial centroids.<br><br>* If an array is passed, it should be of shape (n_clusters, n_features)        and gives the initial centers.<br><br>* If a callable is passed, it should take arguments X, n_clusters and a        random state and return an initialization.<br><br>For an example of how to use the different `init` strategies, see<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_digits.py`.<br><br>For an evaluation of the impact of initialization, see the example<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_stability_low_dim_dense.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;random&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_init,-%27auto%27%20or%20int%2C%20default%3D%27auto%27\">\n",
-       "            n_init\n",
-       "            <span class=\"param-doc-description\">n_init: 'auto' or int, default='auto'<br><br>Number of times the k-means algorithm is run with different centroid<br>seeds. The final results is the best output of `n_init` consecutive runs<br>in terms of inertia. Several runs are recommended for sparse<br>high-dimensional problems (see :ref:`kmeans_sparse_high_dim`).<br><br>When `n_init='auto'`, the number of runs depends on the value of init:<br>10 if using `init='random'` or `init` is a callable;<br>1 if using `init='k-means++'` or `init` is an array-like.<br><br>.. versionadded:: 1.2<br>   Added 'auto' option for `n_init`.<br><br>.. versionchanged:: 1.4<br>   Default value for `n_init` changed to `'auto'`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">1</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_iter',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=max_iter,-int%2C%20default%3D300\">\n",
-       "            max_iter\n",
-       "            <span class=\"param-doc-description\">max_iter: int, default=300<br><br>Maximum number of iterations of the k-means algorithm for a<br>single run.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">300</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('tol',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=tol,-float%2C%20default%3D1e-4\">\n",
-       "            tol\n",
-       "            <span class=\"param-doc-description\">tol: float, default=1e-4<br><br>Relative tolerance with regards to Frobenius norm of the difference<br>in the cluster centers of two consecutive iterations to declare<br>convergence.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0001</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('verbose',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=verbose,-int%2C%20default%3D0\">\n",
-       "            verbose\n",
-       "            <span class=\"param-doc-description\">verbose: int, default=0<br><br>Verbosity mode.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('random_state',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=random_state,-int%2C%20RandomState%20instance%20or%20None%2C%20default%3DNone\">\n",
-       "            random_state\n",
-       "            <span class=\"param-doc-description\">random_state: int, RandomState instance or None, default=None<br><br>Determines random number generation for centroid initialization. Use<br>an int to make the randomness deterministic.<br>See :term:`Glossary <random_state>`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('copy_x',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=copy_x,-bool%2C%20default%3DTrue\">\n",
-       "            copy_x\n",
-       "            <span class=\"param-doc-description\">copy_x: bool, default=True<br><br>When pre-computing distances it is more numerically accurate to center<br>the data first. If copy_x is True (default), then the original data is<br>not modified. If False, the original data is modified, and put back<br>before the function returns, but small numerical differences may be<br>introduced by subtracting and then adding the data mean. Note that if<br>the original data is not C-contiguous, a copy will be made even if<br>copy_x is False. If the original data is sparse, but not in CSR format,<br>a copy will be made even if copy_x is False.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">True</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('algorithm',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=algorithm,-%7B%22lloyd%22%2C%20%22elkan%22%7D%2C%20default%3D%22lloyd%22\">\n",
-       "            algorithm\n",
-       "            <span class=\"param-doc-description\">algorithm: {\"lloyd\", \"elkan\"}, default=\"lloyd\"<br><br>K-means algorithm to use. The classical EM-style algorithm is `\"lloyd\"`.<br>The `\"elkan\"` variation can be more efficient on some datasets with<br>well-defined clusters, by using the triangle inequality. However it's<br>more memory intensive due to the allocation of an extra array of shape<br>`(n_samples, n_clusters)`.<br><br>.. versionchanged:: 0.18<br>    Added Elkan algorithm<br><br>.. versionchanged:: 1.1<br>    Renamed \"full\" to \"lloyd\", and deprecated \"auto\" and \"full\".<br>    Changed \"auto\" to use \"lloyd\" instead of \"elkan\".</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;lloyd&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "                  </tbody>\n",
-       "                </table>\n",
-       "            </details>\n",
-       "        </div>\n",
-       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
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-       "\n",
-       "        // https://en.wikipedia.org/wiki/HSL_and_HSV#Lightness\n",
-       "        const luma = 0.299 * r + 0.587 * g + 0.114 * b;\n",
-       "\n",
-       "        if (luma > 180) {\n",
-       "            // If the text is very bright we have a dark theme\n",
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-       "\n",
-       "\n",
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-       "forceTheme('sk-container-id-2');</script></body>"
-      ],
-      "text/plain": [
-       "KMeans(init='random', n_clusters=10, n_init=1)"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "kmeans = KMeans(n_clusters=10, init='random', n_init=1)\n",
-    "kmeans.fit(digits.data)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.10907067334446299\n",
-      "0.745350822261002\n",
-      "0.76318258796145\n",
-      "0.6611470614010143\n",
-      "0.17430724039300127\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(metrics.accuracy_score(digits.target, kmeans.labels_))\n",
-    "print(metrics.homogeneity_score(digits.target, kmeans.labels_))\n",
-    "print(metrics.completeness_score(digits.target, kmeans.labels_))\n",
-    "print(metrics.adjusted_rand_score(digits.target, kmeans.labels_))\n",
-    "print(metrics.silhouette_score(digits.data, kmeans.labels_))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
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-       "<style>#sk-container-id-4 {\n",
-       "  /* Definition of color scheme common for light and dark mode */\n",
-       "  --sklearn-color-text: #000;\n",
-       "  --sklearn-color-text-muted: #666;\n",
-       "  --sklearn-color-line: gray;\n",
-       "  /* Definition of color scheme for unfitted estimators */\n",
-       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
-       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
-       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
-       "  --sklearn-color-unfitted-level-3: chocolate;\n",
-       "  /* Definition of color scheme for fitted estimators */\n",
-       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
-       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
-       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
-       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4.light {\n",
-       "  /* Specific color for light theme */\n",
-       "  --sklearn-color-text-on-default-background: black;\n",
-       "  --sklearn-color-background: white;\n",
-       "  --sklearn-color-border-box: black;\n",
-       "  --sklearn-color-icon: #696969;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4.dark {\n",
-       "  --sklearn-color-text-on-default-background: white;\n",
-       "  --sklearn-color-background: #111;\n",
-       "  --sklearn-color-border-box: white;\n",
-       "  --sklearn-color-icon: #878787;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 pre {\n",
-       "  padding: 0;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 input.sk-hidden--visually {\n",
-       "  border: 0;\n",
-       "  clip: rect(1px 1px 1px 1px);\n",
-       "  clip: rect(1px, 1px, 1px, 1px);\n",
-       "  height: 1px;\n",
-       "  margin: -1px;\n",
-       "  overflow: hidden;\n",
-       "  padding: 0;\n",
-       "  position: absolute;\n",
-       "  width: 1px;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-dashed-wrapped {\n",
-       "  border: 1px dashed var(--sklearn-color-line);\n",
-       "  margin: 0 0.4em 0.5em 0.4em;\n",
-       "  box-sizing: border-box;\n",
-       "  padding-bottom: 0.4em;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-container {\n",
-       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
-       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
-       "     so we also need the `!important` here to be able to override the\n",
-       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
-       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
-       "  display: inline-block !important;\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-text-repr-fallback {\n",
-       "  display: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-parallel-item,\n",
-       "div.sk-serial,\n",
-       "div.sk-item {\n",
-       "  /* draw centered vertical line to link estimators */\n",
-       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
-       "  background-size: 2px 100%;\n",
-       "  background-repeat: no-repeat;\n",
-       "  background-position: center center;\n",
-       "}\n",
-       "\n",
-       "/* Parallel-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-4 div.sk-parallel-item::after {\n",
-       "  content: \"\";\n",
-       "  width: 100%;\n",
-       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
-       "  flex-grow: 1;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-parallel {\n",
-       "  display: flex;\n",
-       "  align-items: stretch;\n",
-       "  justify-content: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-parallel-item {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-parallel-item:first-child::after {\n",
-       "  align-self: flex-end;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-parallel-item:last-child::after {\n",
-       "  align-self: flex-start;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-parallel-item:only-child::after {\n",
-       "  width: 0;\n",
-       "}\n",
-       "\n",
-       "/* Serial-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-4 div.sk-serial {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "  align-items: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  padding-right: 1em;\n",
-       "  padding-left: 1em;\n",
-       "}\n",
-       "\n",
-       "\n",
-       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
-       "clickable and can be expanded/collapsed.\n",
-       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
-       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
-       "*/\n",
-       "\n",
-       "/* Pipeline and ColumnTransformer style (default) */\n",
-       "\n",
-       "#sk-container-id-4 div.sk-toggleable {\n",
-       "  /* Default theme specific background. It is overwritten whether we have a\n",
-       "  specific estimator or a Pipeline/ColumnTransformer */\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable label */\n",
-       "#sk-container-id-4 label.sk-toggleable__label {\n",
-       "  cursor: pointer;\n",
-       "  display: flex;\n",
-       "  width: 100%;\n",
-       "  margin-bottom: 0;\n",
-       "  padding: 0.5em;\n",
-       "  box-sizing: border-box;\n",
-       "  text-align: center;\n",
-       "  align-items: center;\n",
-       "  justify-content: center;\n",
-       "  gap: 0.5em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 label.sk-toggleable__label .caption {\n",
-       "  font-size: 0.6rem;\n",
-       "  font-weight: lighter;\n",
-       "  color: var(--sklearn-color-text-muted);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 label.sk-toggleable__label-arrow:before {\n",
-       "  /* Arrow on the left of the label */\n",
-       "  content: \"▸\";\n",
-       "  float: left;\n",
-       "  margin-right: 0.25em;\n",
-       "  color: var(--sklearn-color-icon);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 label.sk-toggleable__label-arrow:hover:before {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable content - dropdown */\n",
-       "\n",
-       "#sk-container-id-4 div.sk-toggleable__content {\n",
-       "  display: none;\n",
-       "  text-align: left;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-toggleable__content.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-toggleable__content pre {\n",
-       "  margin: 0.2em;\n",
-       "  border-radius: 0.25em;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-toggleable__content.fitted pre {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
-       "  /* Expand drop-down */\n",
-       "  display: block;\n",
-       "  width: 100%;\n",
-       "  overflow: visible;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
-       "  content: \"▾\";\n",
-       "}\n",
-       "\n",
-       "/* Pipeline/ColumnTransformer-specific style */\n",
-       "\n",
-       "#sk-container-id-4 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific style */\n",
-       "\n",
-       "/* Colorize estimator box */\n",
-       "#sk-container-id-4 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-label label.sk-toggleable__label,\n",
-       "#sk-container-id-4 div.sk-label label {\n",
-       "  /* The background is the default theme color */\n",
-       "  color: var(--sklearn-color-text-on-default-background);\n",
-       "}\n",
-       "\n",
-       "/* On hover, darken the color of the background */\n",
-       "#sk-container-id-4 div.sk-label:hover label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Label box, darken color on hover, fitted */\n",
-       "#sk-container-id-4 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator label */\n",
-       "\n",
-       "#sk-container-id-4 div.sk-label label {\n",
-       "  font-family: monospace;\n",
-       "  font-weight: bold;\n",
-       "  line-height: 1.2em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-label-container {\n",
-       "  text-align: center;\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific */\n",
-       "#sk-container-id-4 div.sk-estimator {\n",
-       "  font-family: monospace;\n",
-       "  border: 1px dotted var(--sklearn-color-border-box);\n",
-       "  border-radius: 0.25em;\n",
-       "  box-sizing: border-box;\n",
-       "  margin-bottom: 0.5em;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-estimator.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "/* on hover */\n",
-       "#sk-container-id-4 div.sk-estimator:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 div.sk-estimator.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
-       "\n",
-       "/* Common style for \"i\" and \"?\" */\n",
-       "\n",
-       ".sk-estimator-doc-link,\n",
-       "a:link.sk-estimator-doc-link,\n",
-       "a:visited.sk-estimator-doc-link {\n",
-       "  float: right;\n",
-       "  font-size: smaller;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1em;\n",
-       "  height: 1em;\n",
-       "  width: 1em;\n",
-       "  text-decoration: none !important;\n",
-       "  margin-left: 0.5em;\n",
-       "  text-align: center;\n",
-       "  /* unfitted */\n",
-       "  border: var(--sklearn-color-unfitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted,\n",
-       "a:link.sk-estimator-doc-link.fitted,\n",
-       "a:visited.sk-estimator-doc-link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "/* Span, style for the box shown on hovering the info icon */\n",
-       ".sk-estimator-doc-link span {\n",
-       "  display: none;\n",
-       "  z-index: 9999;\n",
-       "  position: relative;\n",
-       "  font-weight: normal;\n",
-       "  right: .2ex;\n",
-       "  padding: .5ex;\n",
-       "  margin: .5ex;\n",
-       "  width: min-content;\n",
-       "  min-width: 20ex;\n",
-       "  max-width: 50ex;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  box-shadow: 2pt 2pt 4pt #999;\n",
-       "  /* unfitted */\n",
-       "  background: var(--sklearn-color-unfitted-level-0);\n",
-       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted span {\n",
-       "  /* fitted */\n",
-       "  background: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link:hover span {\n",
-       "  display: block;\n",
-       "}\n",
-       "\n",
-       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
-       "\n",
-       "#sk-container-id-4 a.estimator_doc_link {\n",
-       "  float: right;\n",
-       "  font-size: 1rem;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1rem;\n",
-       "  height: 1rem;\n",
-       "  width: 1rem;\n",
-       "  text-decoration: none;\n",
-       "  /* unfitted */\n",
-       "  color: var(--sklearn-color-unfitted-level-1);\n",
-       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 a.estimator_doc_link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-1);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "#sk-container-id-4 a.estimator_doc_link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  color: var(--sklearn-color-background);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-4 a.estimator_doc_link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".estimator-table {\n",
-       "    font-family: monospace;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary {\n",
-       "    padding: .5rem;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary::marker {\n",
-       "    font-size: 0.7rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table details[open] {\n",
-       "    padding-left: 0.1rem;\n",
-       "    padding-right: 0.1rem;\n",
-       "    padding-bottom: 0.3rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table {\n",
-       "    margin-left: auto !important;\n",
-       "    margin-right: auto !important;\n",
-       "    margin-top: 0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
-       "    background-color: #fff;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(even) {\n",
-       "    background-color: #f6f6f6;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:hover {\n",
-       "    background-color: #e0e0e0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table table td {\n",
-       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    `table td`is set in notebook with right text-align.\n",
-       "    We need to overwrite it.\n",
-       "*/\n",
-       ".estimator-table table td.param {\n",
-       "    text-align: left;\n",
-       "    position: relative;\n",
-       "    padding: 0;\n",
-       "}\n",
-       "\n",
-       ".user-set td {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td.value {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    background-color: transparent;\n",
-       "}\n",
-       "\n",
-       ".default td {\n",
-       "    color: black;\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td i,\n",
-       ".default td i {\n",
-       "    color: black;\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    Styles for parameter documentation links\n",
-       "    We need styling for visited so jupyter doesn't overwrite it\n",
-       "*/\n",
-       "a.param-doc-link,\n",
-       "a.param-doc-link:link,\n",
-       "a.param-doc-link:visited {\n",
-       "    text-decoration: underline dashed;\n",
-       "    text-underline-offset: .3em;\n",
-       "    color: inherit;\n",
-       "    display: block;\n",
-       "    padding: .5em;\n",
-       "}\n",
-       "\n",
-       "/* \"hack\" to make the entire area of the cell containing the link clickable */\n",
-       "a.param-doc-link::before {\n",
-       "    position: absolute;\n",
-       "    content: \"\";\n",
-       "    inset: 0;\n",
-       "}\n",
-       "\n",
-       ".param-doc-description {\n",
-       "    display: none;\n",
-       "    position: absolute;\n",
-       "    z-index: 9999;\n",
-       "    left: 0;\n",
-       "    padding: .5ex;\n",
-       "    margin-left: 1.5em;\n",
-       "    color: var(--sklearn-color-text);\n",
-       "    box-shadow: .3em .3em .4em #999;\n",
-       "    width: max-content;\n",
-       "    text-align: left;\n",
-       "    max-height: 10em;\n",
-       "    overflow-y: auto;\n",
-       "\n",
-       "    /* unfitted */\n",
-       "    background: var(--sklearn-color-unfitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* Fitted state for parameter tooltips */\n",
-       ".fitted .param-doc-description {\n",
-       "    /* fitted */\n",
-       "    background: var(--sklearn-color-fitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".param-doc-link:hover .param-doc-description {\n",
-       "    display: block;\n",
-       "}\n",
-       "\n",
-       ".copy-paste-icon {\n",
-       "    background-image: url(data:image/svg+xml;base64,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);\n",
-       "    background-repeat: no-repeat;\n",
-       "    background-size: 14px 14px;\n",
-       "    background-position: 0;\n",
-       "    display: inline-block;\n",
-       "    width: 14px;\n",
-       "    height: 14px;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "</style><body><div id=\"sk-container-id-4\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(n_clusters=10)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-4\" type=\"checkbox\" checked><label for=\"sk-estimator-id-4\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>KMeans</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html\">?<span>Documentation for KMeans</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
-       "        <div class=\"estimator-table\">\n",
-       "            <details>\n",
-       "                <summary>Parameters</summary>\n",
-       "                <table class=\"parameters-table\">\n",
-       "                  <tbody>\n",
-       "                    \n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_clusters',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_clusters,-int%2C%20default%3D8\">\n",
-       "            n_clusters\n",
-       "            <span class=\"param-doc-description\">n_clusters: int, default=8<br><br>The number of clusters to form as well as the number of<br>centroids to generate.<br><br>For an example of how to choose an optimal value for `n_clusters` refer to<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_silhouette_analysis.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">10</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=init,-%7B%27k-means%2B%2B%27%2C%20%27random%27%7D%2C%20callable%20or%20array-like%20of%20shape%20%20%20%20%20%20%20%20%20%20%20%20%20%28n_clusters%2C%20n_features%29%2C%20default%3D%27k-means%2B%2B%27\">\n",
-       "            init\n",
-       "            <span class=\"param-doc-description\">init: {'k-means++', 'random'}, callable or array-like of shape             (n_clusters, n_features), default='k-means++'<br><br>Method for initialization:<br><br>* 'k-means++' : selects initial cluster centroids using sampling             based on an empirical probability distribution of the points'             contribution to the overall inertia. This technique speeds up             convergence. The algorithm implemented is \"greedy k-means++\". It             differs from the vanilla k-means++ by making several trials at             each sampling step and choosing the best centroid among them.<br><br>* 'random': choose `n_clusters` observations (rows) at random from         data for the initial centroids.<br><br>* If an array is passed, it should be of shape (n_clusters, n_features)        and gives the initial centers.<br><br>* If a callable is passed, it should take arguments X, n_clusters and a        random state and return an initialization.<br><br>For an example of how to use the different `init` strategies, see<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_digits.py`.<br><br>For an evaluation of the impact of initialization, see the example<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_stability_low_dim_dense.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;k-means++&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_init,-%27auto%27%20or%20int%2C%20default%3D%27auto%27\">\n",
-       "            n_init\n",
-       "            <span class=\"param-doc-description\">n_init: 'auto' or int, default='auto'<br><br>Number of times the k-means algorithm is run with different centroid<br>seeds. The final results is the best output of `n_init` consecutive runs<br>in terms of inertia. Several runs are recommended for sparse<br>high-dimensional problems (see :ref:`kmeans_sparse_high_dim`).<br><br>When `n_init='auto'`, the number of runs depends on the value of init:<br>10 if using `init='random'` or `init` is a callable;<br>1 if using `init='k-means++'` or `init` is an array-like.<br><br>.. versionadded:: 1.2<br>   Added 'auto' option for `n_init`.<br><br>.. versionchanged:: 1.4<br>   Default value for `n_init` changed to `'auto'`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;auto&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_iter',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=max_iter,-int%2C%20default%3D300\">\n",
-       "            max_iter\n",
-       "            <span class=\"param-doc-description\">max_iter: int, default=300<br><br>Maximum number of iterations of the k-means algorithm for a<br>single run.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">300</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('tol',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=tol,-float%2C%20default%3D1e-4\">\n",
-       "            tol\n",
-       "            <span class=\"param-doc-description\">tol: float, default=1e-4<br><br>Relative tolerance with regards to Frobenius norm of the difference<br>in the cluster centers of two consecutive iterations to declare<br>convergence.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0001</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('verbose',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=verbose,-int%2C%20default%3D0\">\n",
-       "            verbose\n",
-       "            <span class=\"param-doc-description\">verbose: int, default=0<br><br>Verbosity mode.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('random_state',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=random_state,-int%2C%20RandomState%20instance%20or%20None%2C%20default%3DNone\">\n",
-       "            random_state\n",
-       "            <span class=\"param-doc-description\">random_state: int, RandomState instance or None, default=None<br><br>Determines random number generation for centroid initialization. Use<br>an int to make the randomness deterministic.<br>See :term:`Glossary <random_state>`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('copy_x',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=copy_x,-bool%2C%20default%3DTrue\">\n",
-       "            copy_x\n",
-       "            <span class=\"param-doc-description\">copy_x: bool, default=True<br><br>When pre-computing distances it is more numerically accurate to center<br>the data first. If copy_x is True (default), then the original data is<br>not modified. If False, the original data is modified, and put back<br>before the function returns, but small numerical differences may be<br>introduced by subtracting and then adding the data mean. Note that if<br>the original data is not C-contiguous, a copy will be made even if<br>copy_x is False. If the original data is sparse, but not in CSR format,<br>a copy will be made even if copy_x is False.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">True</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('algorithm',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=algorithm,-%7B%22lloyd%22%2C%20%22elkan%22%7D%2C%20default%3D%22lloyd%22\">\n",
-       "            algorithm\n",
-       "            <span class=\"param-doc-description\">algorithm: {\"lloyd\", \"elkan\"}, default=\"lloyd\"<br><br>K-means algorithm to use. The classical EM-style algorithm is `\"lloyd\"`.<br>The `\"elkan\"` variation can be more efficient on some datasets with<br>well-defined clusters, by using the triangle inequality. However it's<br>more memory intensive due to the allocation of an extra array of shape<br>`(n_samples, n_clusters)`.<br><br>.. versionchanged:: 0.18<br>    Added Elkan algorithm<br><br>.. versionchanged:: 1.1<br>    Renamed \"full\" to \"lloyd\", and deprecated \"auto\" and \"full\".<br>    Changed \"auto\" to use \"lloyd\" instead of \"elkan\".</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;lloyd&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "                  </tbody>\n",
-       "                </table>\n",
-       "            </details>\n",
-       "        </div>\n",
-       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
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-      "text/plain": [
-       "KMeans(n_clusters=10)"
-      ]
-     },
-     "execution_count": 8,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "kmeans2 = KMeans(n_clusters=10)\n",
-    "kmeans2.fit(digits.data)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.012799109627156371\n",
-      "0.7055173362142219\n",
-      "0.715457995208012\n",
-      "0.6301885151444379\n",
-      "0.16699457553360253\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(metrics.accuracy_score(digits.target, kmeans2.labels_))\n",
-    "print(metrics.homogeneity_score(digits.target, kmeans2.labels_))\n",
-    "print(metrics.completeness_score(digits.target, kmeans2.labels_))\n",
-    "print(metrics.adjusted_rand_score(digits.target, kmeans2.labels_))\n",
-    "print(metrics.silhouette_score(digits.data, kmeans2.labels_))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {},
-   "outputs": [
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np.int32(5)), (np.int64(7), np.int32(3)), (np.int64(5), np.int32(9)), (np.int64(4), np.int32(1)), (np.int64(4), np.int32(1)), (np.int64(7), np.int32(3)), (np.int64(2), np.int32(7)), (np.int64(8), np.int32(5)), (np.int64(2), np.int32(7)), (np.int64(2), np.int32(7)), (np.int64(5), np.int32(0)), (np.int64(7), np.int32(3)), (np.int64(9), np.int32(0)), (np.int64(5), np.int32(0)), (np.int64(4), np.int32(1)), (np.int64(8), np.int32(5)), (np.int64(8), np.int32(5)), (np.int64(4), np.int32(1)), (np.int64(9), np.int32(0)), (np.int64(0), np.int32(2)), (np.int64(8), np.int32(5)), (np.int64(9), np.int32(0)), (np.int64(8), np.int32(0))]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(list(zip(digits.target,kmeans.labels_)))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.13.12"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 4
-}
diff --git a/ML/aufgaben/kmeans/kmeans_iris.ipynb b/ML/aufgaben/kmeans/kmeans_iris.ipynb
deleted file mode 100644
index a8fb59e..0000000
--- a/ML/aufgaben/kmeans/kmeans_iris.ipynb
+++ /dev/null
@@ -1,2721 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from sklearn import datasets\n",
-    "iris = datasets.load_iris()\n",
-    "\n",
-    "from sklearn.cluster import KMeans\n",
-    "from sklearn import metrics"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
-      " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
-      " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n",
-      " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
-      " 2 2]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(iris.target)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<style>#sk-container-id-1 {\n",
-       "  /* Definition of color scheme common for light and dark mode */\n",
-       "  --sklearn-color-text: #000;\n",
-       "  --sklearn-color-text-muted: #666;\n",
-       "  --sklearn-color-line: gray;\n",
-       "  /* Definition of color scheme for unfitted estimators */\n",
-       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
-       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
-       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
-       "  --sklearn-color-unfitted-level-3: chocolate;\n",
-       "  /* Definition of color scheme for fitted estimators */\n",
-       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
-       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
-       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
-       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1.light {\n",
-       "  /* Specific color for light theme */\n",
-       "  --sklearn-color-text-on-default-background: black;\n",
-       "  --sklearn-color-background: white;\n",
-       "  --sklearn-color-border-box: black;\n",
-       "  --sklearn-color-icon: #696969;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1.dark {\n",
-       "  --sklearn-color-text-on-default-background: white;\n",
-       "  --sklearn-color-background: #111;\n",
-       "  --sklearn-color-border-box: white;\n",
-       "  --sklearn-color-icon: #878787;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 pre {\n",
-       "  padding: 0;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 input.sk-hidden--visually {\n",
-       "  border: 0;\n",
-       "  clip: rect(1px 1px 1px 1px);\n",
-       "  clip: rect(1px, 1px, 1px, 1px);\n",
-       "  height: 1px;\n",
-       "  margin: -1px;\n",
-       "  overflow: hidden;\n",
-       "  padding: 0;\n",
-       "  position: absolute;\n",
-       "  width: 1px;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-dashed-wrapped {\n",
-       "  border: 1px dashed var(--sklearn-color-line);\n",
-       "  margin: 0 0.4em 0.5em 0.4em;\n",
-       "  box-sizing: border-box;\n",
-       "  padding-bottom: 0.4em;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-container {\n",
-       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
-       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
-       "     so we also need the `!important` here to be able to override the\n",
-       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
-       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
-       "  display: inline-block !important;\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-text-repr-fallback {\n",
-       "  display: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-parallel-item,\n",
-       "div.sk-serial,\n",
-       "div.sk-item {\n",
-       "  /* draw centered vertical line to link estimators */\n",
-       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
-       "  background-size: 2px 100%;\n",
-       "  background-repeat: no-repeat;\n",
-       "  background-position: center center;\n",
-       "}\n",
-       "\n",
-       "/* Parallel-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item::after {\n",
-       "  content: \"\";\n",
-       "  width: 100%;\n",
-       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
-       "  flex-grow: 1;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel {\n",
-       "  display: flex;\n",
-       "  align-items: stretch;\n",
-       "  justify-content: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
-       "  align-self: flex-end;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
-       "  align-self: flex-start;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
-       "  width: 0;\n",
-       "}\n",
-       "\n",
-       "/* Serial-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-serial {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "  align-items: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  padding-right: 1em;\n",
-       "  padding-left: 1em;\n",
-       "}\n",
-       "\n",
-       "\n",
-       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
-       "clickable and can be expanded/collapsed.\n",
-       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
-       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
-       "*/\n",
-       "\n",
-       "/* Pipeline and ColumnTransformer style (default) */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable {\n",
-       "  /* Default theme specific background. It is overwritten whether we have a\n",
-       "  specific estimator or a Pipeline/ColumnTransformer */\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable label */\n",
-       "#sk-container-id-1 label.sk-toggleable__label {\n",
-       "  cursor: pointer;\n",
-       "  display: flex;\n",
-       "  width: 100%;\n",
-       "  margin-bottom: 0;\n",
-       "  padding: 0.5em;\n",
-       "  box-sizing: border-box;\n",
-       "  text-align: center;\n",
-       "  align-items: center;\n",
-       "  justify-content: center;\n",
-       "  gap: 0.5em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 label.sk-toggleable__label .caption {\n",
-       "  font-size: 0.6rem;\n",
-       "  font-weight: lighter;\n",
-       "  color: var(--sklearn-color-text-muted);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
-       "  /* Arrow on the left of the label */\n",
-       "  content: \"▸\";\n",
-       "  float: left;\n",
-       "  margin-right: 0.25em;\n",
-       "  color: var(--sklearn-color-icon);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable content - dropdown */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content {\n",
-       "  display: none;\n",
-       "  text-align: left;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content pre {\n",
-       "  margin: 0.2em;\n",
-       "  border-radius: 0.25em;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
-       "  /* Expand drop-down */\n",
-       "  display: block;\n",
-       "  width: 100%;\n",
-       "  overflow: visible;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
-       "  content: \"▾\";\n",
-       "}\n",
-       "\n",
-       "/* Pipeline/ColumnTransformer-specific style */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific style */\n",
-       "\n",
-       "/* Colorize estimator box */\n",
-       "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
-       "#sk-container-id-1 div.sk-label label {\n",
-       "  /* The background is the default theme color */\n",
-       "  color: var(--sklearn-color-text-on-default-background);\n",
-       "}\n",
-       "\n",
-       "/* On hover, darken the color of the background */\n",
-       "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Label box, darken color on hover, fitted */\n",
-       "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator label */\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label label {\n",
-       "  font-family: monospace;\n",
-       "  font-weight: bold;\n",
-       "  line-height: 1.2em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-label-container {\n",
-       "  text-align: center;\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific */\n",
-       "#sk-container-id-1 div.sk-estimator {\n",
-       "  font-family: monospace;\n",
-       "  border: 1px dotted var(--sklearn-color-border-box);\n",
-       "  border-radius: 0.25em;\n",
-       "  box-sizing: border-box;\n",
-       "  margin-bottom: 0.5em;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-estimator.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "/* on hover */\n",
-       "#sk-container-id-1 div.sk-estimator:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
-       "\n",
-       "/* Common style for \"i\" and \"?\" */\n",
-       "\n",
-       ".sk-estimator-doc-link,\n",
-       "a:link.sk-estimator-doc-link,\n",
-       "a:visited.sk-estimator-doc-link {\n",
-       "  float: right;\n",
-       "  font-size: smaller;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1em;\n",
-       "  height: 1em;\n",
-       "  width: 1em;\n",
-       "  text-decoration: none !important;\n",
-       "  margin-left: 0.5em;\n",
-       "  text-align: center;\n",
-       "  /* unfitted */\n",
-       "  border: var(--sklearn-color-unfitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted,\n",
-       "a:link.sk-estimator-doc-link.fitted,\n",
-       "a:visited.sk-estimator-doc-link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "/* Span, style for the box shown on hovering the info icon */\n",
-       ".sk-estimator-doc-link span {\n",
-       "  display: none;\n",
-       "  z-index: 9999;\n",
-       "  position: relative;\n",
-       "  font-weight: normal;\n",
-       "  right: .2ex;\n",
-       "  padding: .5ex;\n",
-       "  margin: .5ex;\n",
-       "  width: min-content;\n",
-       "  min-width: 20ex;\n",
-       "  max-width: 50ex;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  box-shadow: 2pt 2pt 4pt #999;\n",
-       "  /* unfitted */\n",
-       "  background: var(--sklearn-color-unfitted-level-0);\n",
-       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted span {\n",
-       "  /* fitted */\n",
-       "  background: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link:hover span {\n",
-       "  display: block;\n",
-       "}\n",
-       "\n",
-       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
-       "\n",
-       "#sk-container-id-1 a.estimator_doc_link {\n",
-       "  float: right;\n",
-       "  font-size: 1rem;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1rem;\n",
-       "  height: 1rem;\n",
-       "  width: 1rem;\n",
-       "  text-decoration: none;\n",
-       "  /* unfitted */\n",
-       "  color: var(--sklearn-color-unfitted-level-1);\n",
-       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-1);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "#sk-container-id-1 a.estimator_doc_link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  color: var(--sklearn-color-background);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".estimator-table {\n",
-       "    font-family: monospace;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary {\n",
-       "    padding: .5rem;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary::marker {\n",
-       "    font-size: 0.7rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table details[open] {\n",
-       "    padding-left: 0.1rem;\n",
-       "    padding-right: 0.1rem;\n",
-       "    padding-bottom: 0.3rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table {\n",
-       "    margin-left: auto !important;\n",
-       "    margin-right: auto !important;\n",
-       "    margin-top: 0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
-       "    background-color: #fff;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(even) {\n",
-       "    background-color: #f6f6f6;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:hover {\n",
-       "    background-color: #e0e0e0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table table td {\n",
-       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    `table td`is set in notebook with right text-align.\n",
-       "    We need to overwrite it.\n",
-       "*/\n",
-       ".estimator-table table td.param {\n",
-       "    text-align: left;\n",
-       "    position: relative;\n",
-       "    padding: 0;\n",
-       "}\n",
-       "\n",
-       ".user-set td {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td.value {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    background-color: transparent;\n",
-       "}\n",
-       "\n",
-       ".default td {\n",
-       "    color: black;\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td i,\n",
-       ".default td i {\n",
-       "    color: black;\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    Styles for parameter documentation links\n",
-       "    We need styling for visited so jupyter doesn't overwrite it\n",
-       "*/\n",
-       "a.param-doc-link,\n",
-       "a.param-doc-link:link,\n",
-       "a.param-doc-link:visited {\n",
-       "    text-decoration: underline dashed;\n",
-       "    text-underline-offset: .3em;\n",
-       "    color: inherit;\n",
-       "    display: block;\n",
-       "    padding: .5em;\n",
-       "}\n",
-       "\n",
-       "/* \"hack\" to make the entire area of the cell containing the link clickable */\n",
-       "a.param-doc-link::before {\n",
-       "    position: absolute;\n",
-       "    content: \"\";\n",
-       "    inset: 0;\n",
-       "}\n",
-       "\n",
-       ".param-doc-description {\n",
-       "    display: none;\n",
-       "    position: absolute;\n",
-       "    z-index: 9999;\n",
-       "    left: 0;\n",
-       "    padding: .5ex;\n",
-       "    margin-left: 1.5em;\n",
-       "    color: var(--sklearn-color-text);\n",
-       "    box-shadow: .3em .3em .4em #999;\n",
-       "    width: max-content;\n",
-       "    text-align: left;\n",
-       "    max-height: 10em;\n",
-       "    overflow-y: auto;\n",
-       "\n",
-       "    /* unfitted */\n",
-       "    background: var(--sklearn-color-unfitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* Fitted state for parameter tooltips */\n",
-       ".fitted .param-doc-description {\n",
-       "    /* fitted */\n",
-       "    background: var(--sklearn-color-fitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".param-doc-link:hover .param-doc-description {\n",
-       "    display: block;\n",
-       "}\n",
-       "\n",
-       ".copy-paste-icon {\n",
-       "    background-image: url(data:image/svg+xml;base64,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);\n",
-       "    background-repeat: no-repeat;\n",
-       "    background-size: 14px 14px;\n",
-       "    background-position: 0;\n",
-       "    display: inline-block;\n",
-       "    width: 14px;\n",
-       "    height: 14px;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "</style><body><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(init=&#x27;random&#x27;, n_clusters=3, n_init=1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>KMeans</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html\">?<span>Documentation for KMeans</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
-       "        <div class=\"estimator-table\">\n",
-       "            <details>\n",
-       "                <summary>Parameters</summary>\n",
-       "                <table class=\"parameters-table\">\n",
-       "                  <tbody>\n",
-       "                    \n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_clusters',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_clusters,-int%2C%20default%3D8\">\n",
-       "            n_clusters\n",
-       "            <span class=\"param-doc-description\">n_clusters: int, default=8<br><br>The number of clusters to form as well as the number of<br>centroids to generate.<br><br>For an example of how to choose an optimal value for `n_clusters` refer to<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_silhouette_analysis.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">3</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=init,-%7B%27k-means%2B%2B%27%2C%20%27random%27%7D%2C%20callable%20or%20array-like%20of%20shape%20%20%20%20%20%20%20%20%20%20%20%20%20%28n_clusters%2C%20n_features%29%2C%20default%3D%27k-means%2B%2B%27\">\n",
-       "            init\n",
-       "            <span class=\"param-doc-description\">init: {'k-means++', 'random'}, callable or array-like of shape             (n_clusters, n_features), default='k-means++'<br><br>Method for initialization:<br><br>* 'k-means++' : selects initial cluster centroids using sampling             based on an empirical probability distribution of the points'             contribution to the overall inertia. This technique speeds up             convergence. The algorithm implemented is \"greedy k-means++\". It             differs from the vanilla k-means++ by making several trials at             each sampling step and choosing the best centroid among them.<br><br>* 'random': choose `n_clusters` observations (rows) at random from         data for the initial centroids.<br><br>* If an array is passed, it should be of shape (n_clusters, n_features)        and gives the initial centers.<br><br>* If a callable is passed, it should take arguments X, n_clusters and a        random state and return an initialization.<br><br>For an example of how to use the different `init` strategies, see<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_digits.py`.<br><br>For an evaluation of the impact of initialization, see the example<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_stability_low_dim_dense.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;random&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_init,-%27auto%27%20or%20int%2C%20default%3D%27auto%27\">\n",
-       "            n_init\n",
-       "            <span class=\"param-doc-description\">n_init: 'auto' or int, default='auto'<br><br>Number of times the k-means algorithm is run with different centroid<br>seeds. The final results is the best output of `n_init` consecutive runs<br>in terms of inertia. Several runs are recommended for sparse<br>high-dimensional problems (see :ref:`kmeans_sparse_high_dim`).<br><br>When `n_init='auto'`, the number of runs depends on the value of init:<br>10 if using `init='random'` or `init` is a callable;<br>1 if using `init='k-means++'` or `init` is an array-like.<br><br>.. versionadded:: 1.2<br>   Added 'auto' option for `n_init`.<br><br>.. versionchanged:: 1.4<br>   Default value for `n_init` changed to `'auto'`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">1</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_iter',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=max_iter,-int%2C%20default%3D300\">\n",
-       "            max_iter\n",
-       "            <span class=\"param-doc-description\">max_iter: int, default=300<br><br>Maximum number of iterations of the k-means algorithm for a<br>single run.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">300</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('tol',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=tol,-float%2C%20default%3D1e-4\">\n",
-       "            tol\n",
-       "            <span class=\"param-doc-description\">tol: float, default=1e-4<br><br>Relative tolerance with regards to Frobenius norm of the difference<br>in the cluster centers of two consecutive iterations to declare<br>convergence.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0001</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('verbose',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=verbose,-int%2C%20default%3D0\">\n",
-       "            verbose\n",
-       "            <span class=\"param-doc-description\">verbose: int, default=0<br><br>Verbosity mode.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('random_state',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=random_state,-int%2C%20RandomState%20instance%20or%20None%2C%20default%3DNone\">\n",
-       "            random_state\n",
-       "            <span class=\"param-doc-description\">random_state: int, RandomState instance or None, default=None<br><br>Determines random number generation for centroid initialization. Use<br>an int to make the randomness deterministic.<br>See :term:`Glossary <random_state>`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('copy_x',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=copy_x,-bool%2C%20default%3DTrue\">\n",
-       "            copy_x\n",
-       "            <span class=\"param-doc-description\">copy_x: bool, default=True<br><br>When pre-computing distances it is more numerically accurate to center<br>the data first. If copy_x is True (default), then the original data is<br>not modified. If False, the original data is modified, and put back<br>before the function returns, but small numerical differences may be<br>introduced by subtracting and then adding the data mean. Note that if<br>the original data is not C-contiguous, a copy will be made even if<br>copy_x is False. If the original data is sparse, but not in CSR format,<br>a copy will be made even if copy_x is False.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">True</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('algorithm',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=algorithm,-%7B%22lloyd%22%2C%20%22elkan%22%7D%2C%20default%3D%22lloyd%22\">\n",
-       "            algorithm\n",
-       "            <span class=\"param-doc-description\">algorithm: {\"lloyd\", \"elkan\"}, default=\"lloyd\"<br><br>K-means algorithm to use. The classical EM-style algorithm is `\"lloyd\"`.<br>The `\"elkan\"` variation can be more efficient on some datasets with<br>well-defined clusters, by using the triangle inequality. However it's<br>more memory intensive due to the allocation of an extra array of shape<br>`(n_samples, n_clusters)`.<br><br>.. versionchanged:: 0.18<br>    Added Elkan algorithm<br><br>.. versionchanged:: 1.1<br>    Renamed \"full\" to \"lloyd\", and deprecated \"auto\" and \"full\".<br>    Changed \"auto\" to use \"lloyd\" instead of \"elkan\".</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;lloyd&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "                  </tbody>\n",
-       "                </table>\n",
-       "            </details>\n",
-       "        </div>\n",
-       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
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-      "text/plain": [
-       "KMeans(init='random', n_clusters=3, n_init=1)"
-      ]
-     },
-     "execution_count": 3,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "kmeans = KMeans(n_clusters=3, init='random', n_init=1)\n",
-    "kmeans.fit(iris.data)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
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-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[(np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(0)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(0)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1))]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(list(zip(iris.target,kmeans.labels_)))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.7514854021988338\n",
-      "0.7649861514489815\n",
-      "0.7302382722834697\n",
-      "0.5528190123564095\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(metrics.homogeneity_score(iris.target, kmeans.labels_))\n",
-    "print(metrics.completeness_score(iris.target, kmeans.labels_))\n",
-    "print(metrics.adjusted_rand_score(iris.target, kmeans.labels_))\n",
-    "print(metrics.silhouette_score(iris.data, kmeans.labels_))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<style>#sk-container-id-2 {\n",
-       "  /* Definition of color scheme common for light and dark mode */\n",
-       "  --sklearn-color-text: #000;\n",
-       "  --sklearn-color-text-muted: #666;\n",
-       "  --sklearn-color-line: gray;\n",
-       "  /* Definition of color scheme for unfitted estimators */\n",
-       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
-       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
-       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
-       "  --sklearn-color-unfitted-level-3: chocolate;\n",
-       "  /* Definition of color scheme for fitted estimators */\n",
-       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
-       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
-       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
-       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2.light {\n",
-       "  /* Specific color for light theme */\n",
-       "  --sklearn-color-text-on-default-background: black;\n",
-       "  --sklearn-color-background: white;\n",
-       "  --sklearn-color-border-box: black;\n",
-       "  --sklearn-color-icon: #696969;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2.dark {\n",
-       "  --sklearn-color-text-on-default-background: white;\n",
-       "  --sklearn-color-background: #111;\n",
-       "  --sklearn-color-border-box: white;\n",
-       "  --sklearn-color-icon: #878787;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 pre {\n",
-       "  padding: 0;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 input.sk-hidden--visually {\n",
-       "  border: 0;\n",
-       "  clip: rect(1px 1px 1px 1px);\n",
-       "  clip: rect(1px, 1px, 1px, 1px);\n",
-       "  height: 1px;\n",
-       "  margin: -1px;\n",
-       "  overflow: hidden;\n",
-       "  padding: 0;\n",
-       "  position: absolute;\n",
-       "  width: 1px;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-dashed-wrapped {\n",
-       "  border: 1px dashed var(--sklearn-color-line);\n",
-       "  margin: 0 0.4em 0.5em 0.4em;\n",
-       "  box-sizing: border-box;\n",
-       "  padding-bottom: 0.4em;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-container {\n",
-       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
-       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
-       "     so we also need the `!important` here to be able to override the\n",
-       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
-       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
-       "  display: inline-block !important;\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-text-repr-fallback {\n",
-       "  display: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-parallel-item,\n",
-       "div.sk-serial,\n",
-       "div.sk-item {\n",
-       "  /* draw centered vertical line to link estimators */\n",
-       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
-       "  background-size: 2px 100%;\n",
-       "  background-repeat: no-repeat;\n",
-       "  background-position: center center;\n",
-       "}\n",
-       "\n",
-       "/* Parallel-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item::after {\n",
-       "  content: \"\";\n",
-       "  width: 100%;\n",
-       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
-       "  flex-grow: 1;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel {\n",
-       "  display: flex;\n",
-       "  align-items: stretch;\n",
-       "  justify-content: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item:first-child::after {\n",
-       "  align-self: flex-end;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item:last-child::after {\n",
-       "  align-self: flex-start;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-parallel-item:only-child::after {\n",
-       "  width: 0;\n",
-       "}\n",
-       "\n",
-       "/* Serial-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-serial {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "  align-items: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  padding-right: 1em;\n",
-       "  padding-left: 1em;\n",
-       "}\n",
-       "\n",
-       "\n",
-       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
-       "clickable and can be expanded/collapsed.\n",
-       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
-       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
-       "*/\n",
-       "\n",
-       "/* Pipeline and ColumnTransformer style (default) */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable {\n",
-       "  /* Default theme specific background. It is overwritten whether we have a\n",
-       "  specific estimator or a Pipeline/ColumnTransformer */\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable label */\n",
-       "#sk-container-id-2 label.sk-toggleable__label {\n",
-       "  cursor: pointer;\n",
-       "  display: flex;\n",
-       "  width: 100%;\n",
-       "  margin-bottom: 0;\n",
-       "  padding: 0.5em;\n",
-       "  box-sizing: border-box;\n",
-       "  text-align: center;\n",
-       "  align-items: center;\n",
-       "  justify-content: center;\n",
-       "  gap: 0.5em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 label.sk-toggleable__label .caption {\n",
-       "  font-size: 0.6rem;\n",
-       "  font-weight: lighter;\n",
-       "  color: var(--sklearn-color-text-muted);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 label.sk-toggleable__label-arrow:before {\n",
-       "  /* Arrow on the left of the label */\n",
-       "  content: \"▸\";\n",
-       "  float: left;\n",
-       "  margin-right: 0.25em;\n",
-       "  color: var(--sklearn-color-icon);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable content - dropdown */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content {\n",
-       "  display: none;\n",
-       "  text-align: left;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content pre {\n",
-       "  margin: 0.2em;\n",
-       "  border-radius: 0.25em;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-toggleable__content.fitted pre {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
-       "  /* Expand drop-down */\n",
-       "  display: block;\n",
-       "  width: 100%;\n",
-       "  overflow: visible;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
-       "  content: \"▾\";\n",
-       "}\n",
-       "\n",
-       "/* Pipeline/ColumnTransformer-specific style */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific style */\n",
-       "\n",
-       "/* Colorize estimator box */\n",
-       "#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label label.sk-toggleable__label,\n",
-       "#sk-container-id-2 div.sk-label label {\n",
-       "  /* The background is the default theme color */\n",
-       "  color: var(--sklearn-color-text-on-default-background);\n",
-       "}\n",
-       "\n",
-       "/* On hover, darken the color of the background */\n",
-       "#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Label box, darken color on hover, fitted */\n",
-       "#sk-container-id-2 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator label */\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label label {\n",
-       "  font-family: monospace;\n",
-       "  font-weight: bold;\n",
-       "  line-height: 1.2em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-label-container {\n",
-       "  text-align: center;\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific */\n",
-       "#sk-container-id-2 div.sk-estimator {\n",
-       "  font-family: monospace;\n",
-       "  border: 1px dotted var(--sklearn-color-border-box);\n",
-       "  border-radius: 0.25em;\n",
-       "  box-sizing: border-box;\n",
-       "  margin-bottom: 0.5em;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-estimator.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "/* on hover */\n",
-       "#sk-container-id-2 div.sk-estimator:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 div.sk-estimator.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
-       "\n",
-       "/* Common style for \"i\" and \"?\" */\n",
-       "\n",
-       ".sk-estimator-doc-link,\n",
-       "a:link.sk-estimator-doc-link,\n",
-       "a:visited.sk-estimator-doc-link {\n",
-       "  float: right;\n",
-       "  font-size: smaller;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1em;\n",
-       "  height: 1em;\n",
-       "  width: 1em;\n",
-       "  text-decoration: none !important;\n",
-       "  margin-left: 0.5em;\n",
-       "  text-align: center;\n",
-       "  /* unfitted */\n",
-       "  border: var(--sklearn-color-unfitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted,\n",
-       "a:link.sk-estimator-doc-link.fitted,\n",
-       "a:visited.sk-estimator-doc-link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover {\n",
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-       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
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-       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
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-       "  width: 1rem;\n",
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-       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
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-       "\n",
-       "#sk-container-id-2 a.estimator_doc_link.fitted {\n",
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-       "\n",
-       "/* On hover */\n",
-       "#sk-container-id-2 a.estimator_doc_link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  color: var(--sklearn-color-background);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-2 a.estimator_doc_link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
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-       ".estimator-table summary {\n",
-       "    padding: .5rem;\n",
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-       "\n",
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-       "    padding-right: 0.1rem;\n",
-       "    padding-bottom: 0.3rem;\n",
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-       "\n",
-       ".estimator-table .parameters-table {\n",
-       "    margin-left: auto !important;\n",
-       "    margin-right: auto !important;\n",
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-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
-       "    background-color: #fff;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(even) {\n",
-       "    background-color: #f6f6f6;\n",
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-       "\n",
-       ".estimator-table .parameters-table tr:hover {\n",
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-       "\n",
-       ".estimator-table table td {\n",
-       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    `table td`is set in notebook with right text-align.\n",
-       "    We need to overwrite it.\n",
-       "*/\n",
-       ".estimator-table table td.param {\n",
-       "    text-align: left;\n",
-       "    position: relative;\n",
-       "    padding: 0;\n",
-       "}\n",
-       "\n",
-       ".user-set td {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    text-align: left !important;\n",
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-       "\n",
-       ".user-set td.value {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    background-color: transparent;\n",
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-       "\n",
-       ".default td {\n",
-       "    color: black;\n",
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-       "\n",
-       ".user-set td i,\n",
-       ".default td i {\n",
-       "    color: black;\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    Styles for parameter documentation links\n",
-       "    We need styling for visited so jupyter doesn't overwrite it\n",
-       "*/\n",
-       "a.param-doc-link,\n",
-       "a.param-doc-link:link,\n",
-       "a.param-doc-link:visited {\n",
-       "    text-decoration: underline dashed;\n",
-       "    text-underline-offset: .3em;\n",
-       "    color: inherit;\n",
-       "    display: block;\n",
-       "    padding: .5em;\n",
-       "}\n",
-       "\n",
-       "/* \"hack\" to make the entire area of the cell containing the link clickable */\n",
-       "a.param-doc-link::before {\n",
-       "    position: absolute;\n",
-       "    content: \"\";\n",
-       "    inset: 0;\n",
-       "}\n",
-       "\n",
-       ".param-doc-description {\n",
-       "    display: none;\n",
-       "    position: absolute;\n",
-       "    z-index: 9999;\n",
-       "    left: 0;\n",
-       "    padding: .5ex;\n",
-       "    margin-left: 1.5em;\n",
-       "    color: var(--sklearn-color-text);\n",
-       "    box-shadow: .3em .3em .4em #999;\n",
-       "    width: max-content;\n",
-       "    text-align: left;\n",
-       "    max-height: 10em;\n",
-       "    overflow-y: auto;\n",
-       "\n",
-       "    /* unfitted */\n",
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-       "    border: thin solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* Fitted state for parameter tooltips */\n",
-       ".fitted .param-doc-description {\n",
-       "    /* fitted */\n",
-       "    background: var(--sklearn-color-fitted-level-0);\n",
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-       "}\n",
-       "\n",
-       ".param-doc-link:hover .param-doc-description {\n",
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-       "}\n",
-       "\n",
-       ".copy-paste-icon {\n",
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-       "    background-repeat: no-repeat;\n",
-       "    background-size: 14px 14px;\n",
-       "    background-position: 0;\n",
-       "    display: inline-block;\n",
-       "    width: 14px;\n",
-       "    height: 14px;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "</style><body><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(init=&#x27;random&#x27;, n_clusters=3, n_init=10)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>KMeans</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html\">?<span>Documentation for KMeans</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
-       "        <div class=\"estimator-table\">\n",
-       "            <details>\n",
-       "                <summary>Parameters</summary>\n",
-       "                <table class=\"parameters-table\">\n",
-       "                  <tbody>\n",
-       "                    \n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_clusters',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_clusters,-int%2C%20default%3D8\">\n",
-       "            n_clusters\n",
-       "            <span class=\"param-doc-description\">n_clusters: int, default=8<br><br>The number of clusters to form as well as the number of<br>centroids to generate.<br><br>For an example of how to choose an optimal value for `n_clusters` refer to<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_silhouette_analysis.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">3</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=init,-%7B%27k-means%2B%2B%27%2C%20%27random%27%7D%2C%20callable%20or%20array-like%20of%20shape%20%20%20%20%20%20%20%20%20%20%20%20%20%28n_clusters%2C%20n_features%29%2C%20default%3D%27k-means%2B%2B%27\">\n",
-       "            init\n",
-       "            <span class=\"param-doc-description\">init: {'k-means++', 'random'}, callable or array-like of shape             (n_clusters, n_features), default='k-means++'<br><br>Method for initialization:<br><br>* 'k-means++' : selects initial cluster centroids using sampling             based on an empirical probability distribution of the points'             contribution to the overall inertia. This technique speeds up             convergence. The algorithm implemented is \"greedy k-means++\". It             differs from the vanilla k-means++ by making several trials at             each sampling step and choosing the best centroid among them.<br><br>* 'random': choose `n_clusters` observations (rows) at random from         data for the initial centroids.<br><br>* If an array is passed, it should be of shape (n_clusters, n_features)        and gives the initial centers.<br><br>* If a callable is passed, it should take arguments X, n_clusters and a        random state and return an initialization.<br><br>For an example of how to use the different `init` strategies, see<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_digits.py`.<br><br>For an evaluation of the impact of initialization, see the example<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_stability_low_dim_dense.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;random&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_init,-%27auto%27%20or%20int%2C%20default%3D%27auto%27\">\n",
-       "            n_init\n",
-       "            <span class=\"param-doc-description\">n_init: 'auto' or int, default='auto'<br><br>Number of times the k-means algorithm is run with different centroid<br>seeds. The final results is the best output of `n_init` consecutive runs<br>in terms of inertia. Several runs are recommended for sparse<br>high-dimensional problems (see :ref:`kmeans_sparse_high_dim`).<br><br>When `n_init='auto'`, the number of runs depends on the value of init:<br>10 if using `init='random'` or `init` is a callable;<br>1 if using `init='k-means++'` or `init` is an array-like.<br><br>.. versionadded:: 1.2<br>   Added 'auto' option for `n_init`.<br><br>.. versionchanged:: 1.4<br>   Default value for `n_init` changed to `'auto'`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">10</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_iter',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=max_iter,-int%2C%20default%3D300\">\n",
-       "            max_iter\n",
-       "            <span class=\"param-doc-description\">max_iter: int, default=300<br><br>Maximum number of iterations of the k-means algorithm for a<br>single run.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">300</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('tol',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=tol,-float%2C%20default%3D1e-4\">\n",
-       "            tol\n",
-       "            <span class=\"param-doc-description\">tol: float, default=1e-4<br><br>Relative tolerance with regards to Frobenius norm of the difference<br>in the cluster centers of two consecutive iterations to declare<br>convergence.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0001</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('verbose',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=verbose,-int%2C%20default%3D0\">\n",
-       "            verbose\n",
-       "            <span class=\"param-doc-description\">verbose: int, default=0<br><br>Verbosity mode.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('random_state',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=random_state,-int%2C%20RandomState%20instance%20or%20None%2C%20default%3DNone\">\n",
-       "            random_state\n",
-       "            <span class=\"param-doc-description\">random_state: int, RandomState instance or None, default=None<br><br>Determines random number generation for centroid initialization. Use<br>an int to make the randomness deterministic.<br>See :term:`Glossary <random_state>`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('copy_x',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=copy_x,-bool%2C%20default%3DTrue\">\n",
-       "            copy_x\n",
-       "            <span class=\"param-doc-description\">copy_x: bool, default=True<br><br>When pre-computing distances it is more numerically accurate to center<br>the data first. If copy_x is True (default), then the original data is<br>not modified. If False, the original data is modified, and put back<br>before the function returns, but small numerical differences may be<br>introduced by subtracting and then adding the data mean. Note that if<br>the original data is not C-contiguous, a copy will be made even if<br>copy_x is False. If the original data is sparse, but not in CSR format,<br>a copy will be made even if copy_x is False.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">True</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('algorithm',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=algorithm,-%7B%22lloyd%22%2C%20%22elkan%22%7D%2C%20default%3D%22lloyd%22\">\n",
-       "            algorithm\n",
-       "            <span class=\"param-doc-description\">algorithm: {\"lloyd\", \"elkan\"}, default=\"lloyd\"<br><br>K-means algorithm to use. The classical EM-style algorithm is `\"lloyd\"`.<br>The `\"elkan\"` variation can be more efficient on some datasets with<br>well-defined clusters, by using the triangle inequality. However it's<br>more memory intensive due to the allocation of an extra array of shape<br>`(n_samples, n_clusters)`.<br><br>.. versionchanged:: 0.18<br>    Added Elkan algorithm<br><br>.. versionchanged:: 1.1<br>    Renamed \"full\" to \"lloyd\", and deprecated \"auto\" and \"full\".<br>    Changed \"auto\" to use \"lloyd\" instead of \"elkan\".</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;lloyd&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "                  </tbody>\n",
-       "                </table>\n",
-       "            </details>\n",
-       "        </div>\n",
-       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
-       "    // Get the parameter prefix from the closest toggleable content\n",
-       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
-       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
-       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
-       "\n",
-       "    const originalStyle = element.style;\n",
-       "    const computedStyle = window.getComputedStyle(element);\n",
-       "    const originalWidth = computedStyle.width;\n",
-       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
-       "\n",
-       "    navigator.clipboard.writeText(fullParamName)\n",
-       "        .then(() => {\n",
-       "            element.style.width = originalWidth;\n",
-       "            element.style.color = 'green';\n",
-       "            element.innerHTML = \"Copied!\";\n",
-       "\n",
-       "            setTimeout(() => {\n",
-       "                element.innerHTML = originalHTML;\n",
-       "                element.style = originalStyle;\n",
-       "            }, 2000);\n",
-       "        })\n",
-       "        .catch(err => {\n",
-       "            console.error('Failed to copy:', err);\n",
-       "            element.style.color = 'red';\n",
-       "            element.innerHTML = \"Failed!\";\n",
-       "            setTimeout(() => {\n",
-       "                element.innerHTML = originalHTML;\n",
-       "                element.style = originalStyle;\n",
-       "            }, 2000);\n",
-       "        });\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "document.querySelectorAll('.copy-paste-icon').forEach(function(element) {\n",
-       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
-       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
-       "    const paramName = element.parentElement.nextElementSibling\n",
-       "        .textContent.trim().split(' ')[0];\n",
-       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
-       "\n",
-       "    element.setAttribute('title', fullParamName);\n",
-       "});\n",
-       "\n",
-       "\n",
-       "/**\n",
-       " * Adapted from Skrub\n",
-       " * https://github.com/skrub-data/skrub/blob/403466d1d5d4dc76a7ef569b3f8228db59a31dc3/skrub/_reporting/_data/templates/report.js#L789\n",
-       " * @returns \"light\" or \"dark\"\n",
-       " */\n",
-       "function detectTheme(element) {\n",
-       "    const body = document.querySelector('body');\n",
-       "\n",
-       "    // Check VSCode theme\n",
-       "    const themeKindAttr = body.getAttribute('data-vscode-theme-kind');\n",
-       "    const themeNameAttr = body.getAttribute('data-vscode-theme-name');\n",
-       "\n",
-       "    if (themeKindAttr && themeNameAttr) {\n",
-       "        const themeKind = themeKindAttr.toLowerCase();\n",
-       "        const themeName = themeNameAttr.toLowerCase();\n",
-       "\n",
-       "        if (themeKind.includes(\"dark\") || themeName.includes(\"dark\")) {\n",
-       "            return \"dark\";\n",
-       "        }\n",
-       "        if (themeKind.includes(\"light\") || themeName.includes(\"light\")) {\n",
-       "            return \"light\";\n",
-       "        }\n",
-       "    }\n",
-       "\n",
-       "    // Check Jupyter theme\n",
-       "    if (body.getAttribute('data-jp-theme-light') === 'false') {\n",
-       "        return 'dark';\n",
-       "    } else if (body.getAttribute('data-jp-theme-light') === 'true') {\n",
-       "        return 'light';\n",
-       "    }\n",
-       "\n",
-       "    // Guess based on a parent element's color\n",
-       "    const color = window.getComputedStyle(element.parentNode, null).getPropertyValue('color');\n",
-       "    const match = color.match(/^rgb\\s*\\(\\s*(\\d+)\\s*,\\s*(\\d+)\\s*,\\s*(\\d+)\\s*\\)\\s*$/i);\n",
-       "    if (match) {\n",
-       "        const [r, g, b] = [\n",
-       "            parseFloat(match[1]),\n",
-       "            parseFloat(match[2]),\n",
-       "            parseFloat(match[3])\n",
-       "        ];\n",
-       "\n",
-       "        // https://en.wikipedia.org/wiki/HSL_and_HSV#Lightness\n",
-       "        const luma = 0.299 * r + 0.587 * g + 0.114 * b;\n",
-       "\n",
-       "        if (luma > 180) {\n",
-       "            // If the text is very bright we have a dark theme\n",
-       "            return 'dark';\n",
-       "        }\n",
-       "        if (luma < 75) {\n",
-       "            // If the text is very dark we have a light theme\n",
-       "            return 'light';\n",
-       "        }\n",
-       "        // Otherwise fall back to the next heuristic.\n",
-       "    }\n",
-       "\n",
-       "    // Fallback to system preference\n",
-       "    return window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light';\n",
-       "}\n",
-       "\n",
-       "\n",
-       "function forceTheme(elementId) {\n",
-       "    const estimatorElement = document.querySelector(`#${elementId}`);\n",
-       "    if (estimatorElement === null) {\n",
-       "        console.error(`Element with id ${elementId} not found.`);\n",
-       "    } else {\n",
-       "        const theme = detectTheme(estimatorElement);\n",
-       "        estimatorElement.classList.add(theme);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "forceTheme('sk-container-id-2');</script></body>"
-      ],
-      "text/plain": [
-       "KMeans(init='random', n_clusters=3, n_init=10)"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "kmeans_init = KMeans(n_clusters=3, init='random', n_init=10)\n",
-    "kmeans_init.fit(iris.data)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[(np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(0)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(0)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1))]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(list(zip(iris.target,kmeans.labels_)))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.7514854021988338\n",
-      "0.7649861514489815\n",
-      "0.7302382722834697\n",
-      "0.5528190123564095\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(metrics.homogeneity_score(iris.target, kmeans_init.labels_))\n",
-    "print(metrics.completeness_score(iris.target, kmeans_init.labels_))\n",
-    "print(metrics.adjusted_rand_score(iris.target, kmeans_init.labels_))\n",
-    "print(metrics.silhouette_score(iris.data, kmeans_init.labels_))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<style>#sk-container-id-3 {\n",
-       "  /* Definition of color scheme common for light and dark mode */\n",
-       "  --sklearn-color-text: #000;\n",
-       "  --sklearn-color-text-muted: #666;\n",
-       "  --sklearn-color-line: gray;\n",
-       "  /* Definition of color scheme for unfitted estimators */\n",
-       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
-       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
-       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
-       "  --sklearn-color-unfitted-level-3: chocolate;\n",
-       "  /* Definition of color scheme for fitted estimators */\n",
-       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
-       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
-       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
-       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3.light {\n",
-       "  /* Specific color for light theme */\n",
-       "  --sklearn-color-text-on-default-background: black;\n",
-       "  --sklearn-color-background: white;\n",
-       "  --sklearn-color-border-box: black;\n",
-       "  --sklearn-color-icon: #696969;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3.dark {\n",
-       "  --sklearn-color-text-on-default-background: white;\n",
-       "  --sklearn-color-background: #111;\n",
-       "  --sklearn-color-border-box: white;\n",
-       "  --sklearn-color-icon: #878787;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 pre {\n",
-       "  padding: 0;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 input.sk-hidden--visually {\n",
-       "  border: 0;\n",
-       "  clip: rect(1px 1px 1px 1px);\n",
-       "  clip: rect(1px, 1px, 1px, 1px);\n",
-       "  height: 1px;\n",
-       "  margin: -1px;\n",
-       "  overflow: hidden;\n",
-       "  padding: 0;\n",
-       "  position: absolute;\n",
-       "  width: 1px;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-dashed-wrapped {\n",
-       "  border: 1px dashed var(--sklearn-color-line);\n",
-       "  margin: 0 0.4em 0.5em 0.4em;\n",
-       "  box-sizing: border-box;\n",
-       "  padding-bottom: 0.4em;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-container {\n",
-       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
-       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
-       "     so we also need the `!important` here to be able to override the\n",
-       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
-       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
-       "  display: inline-block !important;\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-text-repr-fallback {\n",
-       "  display: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-parallel-item,\n",
-       "div.sk-serial,\n",
-       "div.sk-item {\n",
-       "  /* draw centered vertical line to link estimators */\n",
-       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
-       "  background-size: 2px 100%;\n",
-       "  background-repeat: no-repeat;\n",
-       "  background-position: center center;\n",
-       "}\n",
-       "\n",
-       "/* Parallel-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-3 div.sk-parallel-item::after {\n",
-       "  content: \"\";\n",
-       "  width: 100%;\n",
-       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
-       "  flex-grow: 1;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-parallel {\n",
-       "  display: flex;\n",
-       "  align-items: stretch;\n",
-       "  justify-content: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  position: relative;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-parallel-item {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-parallel-item:first-child::after {\n",
-       "  align-self: flex-end;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-parallel-item:last-child::after {\n",
-       "  align-self: flex-start;\n",
-       "  width: 50%;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-parallel-item:only-child::after {\n",
-       "  width: 0;\n",
-       "}\n",
-       "\n",
-       "/* Serial-specific style estimator block */\n",
-       "\n",
-       "#sk-container-id-3 div.sk-serial {\n",
-       "  display: flex;\n",
-       "  flex-direction: column;\n",
-       "  align-items: center;\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "  padding-right: 1em;\n",
-       "  padding-left: 1em;\n",
-       "}\n",
-       "\n",
-       "\n",
-       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
-       "clickable and can be expanded/collapsed.\n",
-       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
-       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
-       "*/\n",
-       "\n",
-       "/* Pipeline and ColumnTransformer style (default) */\n",
-       "\n",
-       "#sk-container-id-3 div.sk-toggleable {\n",
-       "  /* Default theme specific background. It is overwritten whether we have a\n",
-       "  specific estimator or a Pipeline/ColumnTransformer */\n",
-       "  background-color: var(--sklearn-color-background);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable label */\n",
-       "#sk-container-id-3 label.sk-toggleable__label {\n",
-       "  cursor: pointer;\n",
-       "  display: flex;\n",
-       "  width: 100%;\n",
-       "  margin-bottom: 0;\n",
-       "  padding: 0.5em;\n",
-       "  box-sizing: border-box;\n",
-       "  text-align: center;\n",
-       "  align-items: center;\n",
-       "  justify-content: center;\n",
-       "  gap: 0.5em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 label.sk-toggleable__label .caption {\n",
-       "  font-size: 0.6rem;\n",
-       "  font-weight: lighter;\n",
-       "  color: var(--sklearn-color-text-muted);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 label.sk-toggleable__label-arrow:before {\n",
-       "  /* Arrow on the left of the label */\n",
-       "  content: \"▸\";\n",
-       "  float: left;\n",
-       "  margin-right: 0.25em;\n",
-       "  color: var(--sklearn-color-icon);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "}\n",
-       "\n",
-       "/* Toggleable content - dropdown */\n",
-       "\n",
-       "#sk-container-id-3 div.sk-toggleable__content {\n",
-       "  display: none;\n",
-       "  text-align: left;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-toggleable__content.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-toggleable__content pre {\n",
-       "  margin: 0.2em;\n",
-       "  border-radius: 0.25em;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-toggleable__content.fitted pre {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
-       "  /* Expand drop-down */\n",
-       "  display: block;\n",
-       "  width: 100%;\n",
-       "  overflow: visible;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
-       "  content: \"▾\";\n",
-       "}\n",
-       "\n",
-       "/* Pipeline/ColumnTransformer-specific style */\n",
-       "\n",
-       "#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific style */\n",
-       "\n",
-       "/* Colorize estimator box */\n",
-       "#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-label label.sk-toggleable__label,\n",
-       "#sk-container-id-3 div.sk-label label {\n",
-       "  /* The background is the default theme color */\n",
-       "  color: var(--sklearn-color-text-on-default-background);\n",
-       "}\n",
-       "\n",
-       "/* On hover, darken the color of the background */\n",
-       "#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Label box, darken color on hover, fitted */\n",
-       "#sk-container-id-3 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Estimator label */\n",
-       "\n",
-       "#sk-container-id-3 div.sk-label label {\n",
-       "  font-family: monospace;\n",
-       "  font-weight: bold;\n",
-       "  line-height: 1.2em;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-label-container {\n",
-       "  text-align: center;\n",
-       "}\n",
-       "\n",
-       "/* Estimator-specific */\n",
-       "#sk-container-id-3 div.sk-estimator {\n",
-       "  font-family: monospace;\n",
-       "  border: 1px dotted var(--sklearn-color-border-box);\n",
-       "  border-radius: 0.25em;\n",
-       "  box-sizing: border-box;\n",
-       "  margin-bottom: 0.5em;\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-estimator.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "}\n",
-       "\n",
-       "/* on hover */\n",
-       "#sk-container-id-3 div.sk-estimator:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 div.sk-estimator.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-2);\n",
-       "}\n",
-       "\n",
-       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
-       "\n",
-       "/* Common style for \"i\" and \"?\" */\n",
-       "\n",
-       ".sk-estimator-doc-link,\n",
-       "a:link.sk-estimator-doc-link,\n",
-       "a:visited.sk-estimator-doc-link {\n",
-       "  float: right;\n",
-       "  font-size: smaller;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1em;\n",
-       "  height: 1em;\n",
-       "  width: 1em;\n",
-       "  text-decoration: none !important;\n",
-       "  margin-left: 0.5em;\n",
-       "  text-align: center;\n",
-       "  /* unfitted */\n",
-       "  border: var(--sklearn-color-unfitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted,\n",
-       "a:link.sk-estimator-doc-link.fitted,\n",
-       "a:visited.sk-estimator-doc-link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
-       ".sk-estimator-doc-link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-unfitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover,\n",
-       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
-       ".sk-estimator-doc-link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "  border: var(--sklearn-color-fitted-level-0) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-0);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "/* Span, style for the box shown on hovering the info icon */\n",
-       ".sk-estimator-doc-link span {\n",
-       "  display: none;\n",
-       "  z-index: 9999;\n",
-       "  position: relative;\n",
-       "  font-weight: normal;\n",
-       "  right: .2ex;\n",
-       "  padding: .5ex;\n",
-       "  margin: .5ex;\n",
-       "  width: min-content;\n",
-       "  min-width: 20ex;\n",
-       "  max-width: 50ex;\n",
-       "  color: var(--sklearn-color-text);\n",
-       "  box-shadow: 2pt 2pt 4pt #999;\n",
-       "  /* unfitted */\n",
-       "  background: var(--sklearn-color-unfitted-level-0);\n",
-       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link.fitted span {\n",
-       "  /* fitted */\n",
-       "  background: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".sk-estimator-doc-link:hover span {\n",
-       "  display: block;\n",
-       "}\n",
-       "\n",
-       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
-       "\n",
-       "#sk-container-id-3 a.estimator_doc_link {\n",
-       "  float: right;\n",
-       "  font-size: 1rem;\n",
-       "  line-height: 1em;\n",
-       "  font-family: monospace;\n",
-       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
-       "  border-radius: 1rem;\n",
-       "  height: 1rem;\n",
-       "  width: 1rem;\n",
-       "  text-decoration: none;\n",
-       "  /* unfitted */\n",
-       "  color: var(--sklearn-color-unfitted-level-1);\n",
-       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 a.estimator_doc_link.fitted {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-0);\n",
-       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
-       "  color: var(--sklearn-color-fitted-level-1);\n",
-       "}\n",
-       "\n",
-       "/* On hover */\n",
-       "#sk-container-id-3 a.estimator_doc_link:hover {\n",
-       "  /* unfitted */\n",
-       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
-       "  color: var(--sklearn-color-background);\n",
-       "  text-decoration: none;\n",
-       "}\n",
-       "\n",
-       "#sk-container-id-3 a.estimator_doc_link.fitted:hover {\n",
-       "  /* fitted */\n",
-       "  background-color: var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".estimator-table {\n",
-       "    font-family: monospace;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary {\n",
-       "    padding: .5rem;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "\n",
-       ".estimator-table summary::marker {\n",
-       "    font-size: 0.7rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table details[open] {\n",
-       "    padding-left: 0.1rem;\n",
-       "    padding-right: 0.1rem;\n",
-       "    padding-bottom: 0.3rem;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table {\n",
-       "    margin-left: auto !important;\n",
-       "    margin-right: auto !important;\n",
-       "    margin-top: 0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
-       "    background-color: #fff;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:nth-child(even) {\n",
-       "    background-color: #f6f6f6;\n",
-       "}\n",
-       "\n",
-       ".estimator-table .parameters-table tr:hover {\n",
-       "    background-color: #e0e0e0;\n",
-       "}\n",
-       "\n",
-       ".estimator-table table td {\n",
-       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    `table td`is set in notebook with right text-align.\n",
-       "    We need to overwrite it.\n",
-       "*/\n",
-       ".estimator-table table td.param {\n",
-       "    text-align: left;\n",
-       "    position: relative;\n",
-       "    padding: 0;\n",
-       "}\n",
-       "\n",
-       ".user-set td {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td.value {\n",
-       "    color:rgb(255, 94, 0);\n",
-       "    background-color: transparent;\n",
-       "}\n",
-       "\n",
-       ".default td {\n",
-       "    color: black;\n",
-       "    text-align: left !important;\n",
-       "}\n",
-       "\n",
-       ".user-set td i,\n",
-       ".default td i {\n",
-       "    color: black;\n",
-       "}\n",
-       "\n",
-       "/*\n",
-       "    Styles for parameter documentation links\n",
-       "    We need styling for visited so jupyter doesn't overwrite it\n",
-       "*/\n",
-       "a.param-doc-link,\n",
-       "a.param-doc-link:link,\n",
-       "a.param-doc-link:visited {\n",
-       "    text-decoration: underline dashed;\n",
-       "    text-underline-offset: .3em;\n",
-       "    color: inherit;\n",
-       "    display: block;\n",
-       "    padding: .5em;\n",
-       "}\n",
-       "\n",
-       "/* \"hack\" to make the entire area of the cell containing the link clickable */\n",
-       "a.param-doc-link::before {\n",
-       "    position: absolute;\n",
-       "    content: \"\";\n",
-       "    inset: 0;\n",
-       "}\n",
-       "\n",
-       ".param-doc-description {\n",
-       "    display: none;\n",
-       "    position: absolute;\n",
-       "    z-index: 9999;\n",
-       "    left: 0;\n",
-       "    padding: .5ex;\n",
-       "    margin-left: 1.5em;\n",
-       "    color: var(--sklearn-color-text);\n",
-       "    box-shadow: .3em .3em .4em #999;\n",
-       "    width: max-content;\n",
-       "    text-align: left;\n",
-       "    max-height: 10em;\n",
-       "    overflow-y: auto;\n",
-       "\n",
-       "    /* unfitted */\n",
-       "    background: var(--sklearn-color-unfitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-unfitted-level-3);\n",
-       "}\n",
-       "\n",
-       "/* Fitted state for parameter tooltips */\n",
-       ".fitted .param-doc-description {\n",
-       "    /* fitted */\n",
-       "    background: var(--sklearn-color-fitted-level-0);\n",
-       "    border: thin solid var(--sklearn-color-fitted-level-3);\n",
-       "}\n",
-       "\n",
-       ".param-doc-link:hover .param-doc-description {\n",
-       "    display: block;\n",
-       "}\n",
-       "\n",
-       ".copy-paste-icon {\n",
-       "    background-image: url(data:image/svg+xml;base64,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);\n",
-       "    background-repeat: no-repeat;\n",
-       "    background-size: 14px 14px;\n",
-       "    background-position: 0;\n",
-       "    display: inline-block;\n",
-       "    width: 14px;\n",
-       "    height: 14px;\n",
-       "    cursor: pointer;\n",
-       "}\n",
-       "</style><body><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(n_clusters=3)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" checked><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>KMeans</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html\">?<span>Documentation for KMeans</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
-       "        <div class=\"estimator-table\">\n",
-       "            <details>\n",
-       "                <summary>Parameters</summary>\n",
-       "                <table class=\"parameters-table\">\n",
-       "                  <tbody>\n",
-       "                    \n",
-       "        <tr class=\"user-set\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_clusters',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_clusters,-int%2C%20default%3D8\">\n",
-       "            n_clusters\n",
-       "            <span class=\"param-doc-description\">n_clusters: int, default=8<br><br>The number of clusters to form as well as the number of<br>centroids to generate.<br><br>For an example of how to choose an optimal value for `n_clusters` refer to<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_silhouette_analysis.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">3</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=init,-%7B%27k-means%2B%2B%27%2C%20%27random%27%7D%2C%20callable%20or%20array-like%20of%20shape%20%20%20%20%20%20%20%20%20%20%20%20%20%28n_clusters%2C%20n_features%29%2C%20default%3D%27k-means%2B%2B%27\">\n",
-       "            init\n",
-       "            <span class=\"param-doc-description\">init: {'k-means++', 'random'}, callable or array-like of shape             (n_clusters, n_features), default='k-means++'<br><br>Method for initialization:<br><br>* 'k-means++' : selects initial cluster centroids using sampling             based on an empirical probability distribution of the points'             contribution to the overall inertia. This technique speeds up             convergence. The algorithm implemented is \"greedy k-means++\". It             differs from the vanilla k-means++ by making several trials at             each sampling step and choosing the best centroid among them.<br><br>* 'random': choose `n_clusters` observations (rows) at random from         data for the initial centroids.<br><br>* If an array is passed, it should be of shape (n_clusters, n_features)        and gives the initial centers.<br><br>* If a callable is passed, it should take arguments X, n_clusters and a        random state and return an initialization.<br><br>For an example of how to use the different `init` strategies, see<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_digits.py`.<br><br>For an evaluation of the impact of initialization, see the example<br>:ref:`sphx_glr_auto_examples_cluster_plot_kmeans_stability_low_dim_dense.py`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;k-means++&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('n_init',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=n_init,-%27auto%27%20or%20int%2C%20default%3D%27auto%27\">\n",
-       "            n_init\n",
-       "            <span class=\"param-doc-description\">n_init: 'auto' or int, default='auto'<br><br>Number of times the k-means algorithm is run with different centroid<br>seeds. The final results is the best output of `n_init` consecutive runs<br>in terms of inertia. Several runs are recommended for sparse<br>high-dimensional problems (see :ref:`kmeans_sparse_high_dim`).<br><br>When `n_init='auto'`, the number of runs depends on the value of init:<br>10 if using `init='random'` or `init` is a callable;<br>1 if using `init='k-means++'` or `init` is an array-like.<br><br>.. versionadded:: 1.2<br>   Added 'auto' option for `n_init`.<br><br>.. versionchanged:: 1.4<br>   Default value for `n_init` changed to `'auto'`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;auto&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('max_iter',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=max_iter,-int%2C%20default%3D300\">\n",
-       "            max_iter\n",
-       "            <span class=\"param-doc-description\">max_iter: int, default=300<br><br>Maximum number of iterations of the k-means algorithm for a<br>single run.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">300</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('tol',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=tol,-float%2C%20default%3D1e-4\">\n",
-       "            tol\n",
-       "            <span class=\"param-doc-description\">tol: float, default=1e-4<br><br>Relative tolerance with regards to Frobenius norm of the difference<br>in the cluster centers of two consecutive iterations to declare<br>convergence.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0.0001</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('verbose',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=verbose,-int%2C%20default%3D0\">\n",
-       "            verbose\n",
-       "            <span class=\"param-doc-description\">verbose: int, default=0<br><br>Verbosity mode.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">0</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('random_state',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=random_state,-int%2C%20RandomState%20instance%20or%20None%2C%20default%3DNone\">\n",
-       "            random_state\n",
-       "            <span class=\"param-doc-description\">random_state: int, RandomState instance or None, default=None<br><br>Determines random number generation for centroid initialization. Use<br>an int to make the randomness deterministic.<br>See :term:`Glossary <random_state>`.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">None</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('copy_x',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=copy_x,-bool%2C%20default%3DTrue\">\n",
-       "            copy_x\n",
-       "            <span class=\"param-doc-description\">copy_x: bool, default=True<br><br>When pre-computing distances it is more numerically accurate to center<br>the data first. If copy_x is True (default), then the original data is<br>not modified. If False, the original data is modified, and put back<br>before the function returns, but small numerical differences may be<br>introduced by subtracting and then adding the data mean. Note that if<br>the original data is not C-contiguous, a copy will be made even if<br>copy_x is False. If the original data is sparse, but not in CSR format,<br>a copy will be made even if copy_x is False.</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">True</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "\n",
-       "        <tr class=\"default\">\n",
-       "            <td><i class=\"copy-paste-icon\"\n",
-       "                 onclick=\"copyToClipboard('algorithm',\n",
-       "                          this.parentElement.nextElementSibling)\"\n",
-       "            ></i></td>\n",
-       "            <td class=\"param\">\n",
-       "        <a class=\"param-doc-link\"\n",
-       "            rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.8/modules/generated/sklearn.cluster.KMeans.html#:~:text=algorithm,-%7B%22lloyd%22%2C%20%22elkan%22%7D%2C%20default%3D%22lloyd%22\">\n",
-       "            algorithm\n",
-       "            <span class=\"param-doc-description\">algorithm: {\"lloyd\", \"elkan\"}, default=\"lloyd\"<br><br>K-means algorithm to use. The classical EM-style algorithm is `\"lloyd\"`.<br>The `\"elkan\"` variation can be more efficient on some datasets with<br>well-defined clusters, by using the triangle inequality. However it's<br>more memory intensive due to the allocation of an extra array of shape<br>`(n_samples, n_clusters)`.<br><br>.. versionchanged:: 0.18<br>    Added Elkan algorithm<br><br>.. versionchanged:: 1.1<br>    Renamed \"full\" to \"lloyd\", and deprecated \"auto\" and \"full\".<br>    Changed \"auto\" to use \"lloyd\" instead of \"elkan\".</span>\n",
-       "        </a>\n",
-       "    </td>\n",
-       "            <td class=\"value\">&#x27;lloyd&#x27;</td>\n",
-       "        </tr>\n",
-       "    \n",
-       "                  </tbody>\n",
-       "                </table>\n",
-       "            </details>\n",
-       "        </div>\n",
-       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
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-      "text/plain": [
-       "KMeans(n_clusters=3)"
-      ]
-     },
-     "execution_count": 9,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "kmeans2 = KMeans(n_clusters=3)\n",
-    "kmeans2.fit(iris.data)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[(np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(0), np.int32(2)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(0)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(0)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(1), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(0)), (np.int64(2), np.int32(1))]\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(list(zip(iris.target,kmeans.labels_)))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.7364192881252849\n",
-      "0.7474865805095324\n",
-      "0.7163421126838476\n",
-      "0.551191604619592\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(metrics.homogeneity_score(iris.target, kmeans2.labels_))\n",
-    "print(metrics.completeness_score(iris.target, kmeans2.labels_))\n",
-    "print(metrics.adjusted_rand_score(iris.target, kmeans2.labels_))\n",
-    "print(metrics.silhouette_score(iris.data, kmeans2.labels_))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
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