06-01-Tree.ipynb

{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Decision Tree\n",
    "\n",
    "CART (Classification  and Regression Tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What is Decision Tree?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src='img//tree.png' width=50%>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "* Supervised Learning\n",
    "\n",
    "* Works for both classification and regression\n",
    "\n",
    "* Foundation of Random Forests\n",
    "\n",
    "* Attractive because of interpretability\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "\n",
    "Decision Tree works by:\n",
    "\n",
    "* Split based on set impurity criteria\n",
    "* Stopping criteria\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "\n",
    "Source: [Scikit-Learn](http://scikit-learn.org/stable/modules/tree.html#tree)\n",
    "\n",
    "Some **advantages** of decision trees are:\n",
    "* Simple to understand and to interpret. Trees can be visualised.\n",
    "* Requires little data preparation. \n",
    "* Able to handle both numerical and categorical data.\n",
    "* Possible to validate a model using statistical tests. \n",
    "* Performs well even if its assumptions are somewhat violated by the true model from which the data were generated.\n",
    "\n",
    "The **disadvantages** of decision trees include:\n",
    "* Overfitting. Mechanisms such as pruning (not currently supported), setting the minimum number of samples required at a leaf node or setting the maximum depth of the tree are necessary to avoid this problem.\n",
    "* Decision trees can be unstable. Mitigant: Use decision trees within an ensemble.\n",
    "* Cannot guarantee to return the globally optimal decision tree. Mitigant: Training multiple trees in an ensemble learner\n",
    "* Decision tree learners create biased trees if some classes dominate. Recommendation: Balance the dataset prior to fitting\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "\n",
    "## Questions:\n",
    "\n",
    "1. What is a decision tree?\n",
    "\n",
    "2. Where can you apply decision tree to? numerical problems or categorical problems?\n",
    "\n",
    "3. Decision tree is also know by what other name?\n",
    "\n",
    "4. How does a decision tree work?\n",
    "\n",
    "5. Decision Tree is a foundation of what machine learning algorithm\n",
    "\n",
    "6. List and explain 3 advantages of decision tree\n",
    "\n",
    "7. List and explain 3 disadvantages of decision tree"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training a Decision Tree with Scikit-Learn Library"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.16.5\n",
      "0.25.1\n",
      "3.7.4 (default, Aug 13 2019, 15:17:50) \n",
      "[Clang 4.0.1 (tags/RELEASE_401/final)]\n",
      "0.21.3\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn\n",
    "%matplotlib inline\n",
    "\n",
    "print(np.__version__)\n",
    "print(pd.__version__)\n",
    "import sys\n",
    "print(sys.version)\n",
    "import sklearn\n",
    "print(sklearn.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = [[0, 0], [1, 2]]\n",
    "y = [0, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "clf = tree.DecisionTreeClassifier()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "clf = clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.predict([[2., 2.]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 1.]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.predict_proba([[2. , 2.]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.predict([[0.4, 1.2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 1.]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.predict_proba([[0.4, 1.2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0.]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.predict_proba([[0, 0.2]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`DecisionTreeClassifier` is capable of both binary (where the labels are [-1, 1]) classification and multiclass (where the labels are [0, …, K-1]) classification."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Applying to Iris Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "from sklearn import tree\n",
    "iris = load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[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]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris.data[0:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['sepal length (cm)',\n",
       " 'sepal width (cm)',\n",
       " 'petal length (cm)',\n",
       " 'petal width (cm)']"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris.feature_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris.data[:, 2:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([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, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 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,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "clf = tree.DecisionTreeClassifier(random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "clf = clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Export_graphviz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Need to install graphviz first\n",
    "\n",
    "`conda install graphviz python-graphviz`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.tree import export_graphviz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "export_graphviz(clf,\n",
    "                out_file=\"tree.dot\",\n",
    "                feature_names=iris.feature_names[2:],\n",
    "                class_names=iris.target_names,\n",
    "                rounded=True,\n",
    "                filled=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the following line on your command prompt\n",
    "\n",
    "`$ dot -Tpng tree.dot -o tree.png`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src='tree_42.png' width=50%>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graphviz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "import graphviz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "dot_data = tree.export_graphviz(clf, out_file=None,\n",
    "                                feature_names=iris.feature_names[2:],\n",
    "                                class_names=iris.target_names,\n",
    "                                rounded=True,\n",
    "                                filled=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "graph = graphviz.Source(dot_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
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       "<text text-anchor=\"middle\" x=\"187\" y=\"-290.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 1.65</text>\n",
       "<text text-anchor=\"middle\" x=\"187\" y=\"-275.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.041</text>\n",
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       "<title>3&#45;&gt;4</title>\n",
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       "<title>7</title>\n",
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       "<text text-anchor=\"middle\" x=\"372\" y=\"-290.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 1.55</text>\n",
       "<text text-anchor=\"middle\" x=\"372\" y=\"-275.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.444</text>\n",
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       "<title>3&#45;&gt;7</title>\n",
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       "<title>5</title>\n",
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       "<text text-anchor=\"middle\" x=\"62\" y=\"-164.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"62\" y=\"-149.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 47</text>\n",
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       "<title>6</title>\n",
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       "<title>4&#45;&gt;6</title>\n",
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       "<title>8</title>\n",
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       "<text text-anchor=\"middle\" x=\"359\" y=\"-164.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
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       "<title>9</title>\n",
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       "<text text-anchor=\"middle\" x=\"521\" y=\"-171.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.45</text>\n",
       "<text text-anchor=\"middle\" x=\"521\" y=\"-156.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.444</text>\n",
       "<text text-anchor=\"middle\" x=\"521\" y=\"-141.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 3</text>\n",
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     "execution_count": 27,
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   "source": [
    "graph"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualise the Decision Boundary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "sns.set_style('whitegrid')\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal_length</th>\n",
       "      <th>sepal_width</th>\n",
       "      <th>petal_length</th>\n",
       "      <th>petal_width</th>\n",
       "      <th>species</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
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       "      <td>0</td>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
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       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
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       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
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       "      <td>3</td>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
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       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
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      "text/plain": [
       "   sepal_length  sepal_width  petal_length  petal_width species\n",
       "0           5.1          3.5           1.4          0.2  setosa\n",
       "1           4.9          3.0           1.4          0.2  setosa\n",
       "2           4.7          3.2           1.3          0.2  setosa\n",
       "3           4.6          3.1           1.5          0.2  setosa\n",
       "4           5.0          3.6           1.4          0.2  setosa"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = sns.load_dataset('iris')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "col = ['petal_length', 'petal_width']\n",
    "X = df.loc[:, col]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "species_to_num = {'setosa': 0,\n",
    "                  'versicolor': 1,\n",
    "                  'virginica': 2}\n",
    "df['tmp'] = df['species'].map(species_to_num)\n",
    "y = df['tmp']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "clf = tree.DecisionTreeClassifier()\n",
    "clf = clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "Xv = X.values.reshape(-1,1)\n",
    "h = 0.02\n",
    "x_min, x_max = Xv.min(), Xv.max() + 1\n",
    "y_min, y_max = y.min(), y.max() + 1\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                     np.arange(y_min, y_max, h))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "z = z.reshape(xx.shape)\n",
    "fig = plt.figure(figsize=(8,8))\n",
    "ax = plt.contourf(xx, yy, z, cmap = 'afmhot', alpha=0.3);\n",
    "plt.scatter(X.values[:, 0], X.values[:, 1], c=y, s=80, \n",
    "            alpha=0.9, edgecolors='g');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "\n",
    "# Decision Tree Learning\n",
    "\n",
    "* [ID3](https://en.wikipedia.org/wiki/ID3_algorithm) (Iterative Dichotomiser 3)\n",
    "* [C4.5](https://en.wikipedia.org/wiki/C4.5_algorithm) (successor of ID3)\n",
    "* CART (Classification And Regression Tree)\n",
    "* [CHAID](http://www.statisticssolutions.com/non-parametric-analysis-chaid/) (Chi-squared Automatic Interaction Detector). by [Gordon Kass](https://en.wikipedia.org/wiki/Chi-square_automatic_interaction_detection). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tree algorithms: ID3, C4.5, C5.0 and CART\n",
    "\n",
    "\n",
    "* ID3 (Iterative Dichotomiser 3) was developed in 1986 by Ross Quinlan. The algorithm creates a multiway tree, finding for each node (i.e. in a greedy manner) the categorical feature that will yield the largest information gain for categorical targets. Trees are grown to their maximum size and then a pruning step is usually applied to improve the ability of the tree to generalise to unseen data.\n",
    "\n",
    "\n",
    "* C4.5 is the successor to ID3 and removed the restriction that features must be categorical by dynamically defining a discrete attribute (based on numerical variables) that partitions the continuous attribute value into a discrete set of intervals. C4.5 converts the trained trees (i.e. the output of the ID3 algorithm) into sets of if-then rules. These accuracy of each rule is then evaluated to determine the order in which they should be applied. Pruning is done by removing a rule’s precondition if the accuracy of the rule improves without it.\n",
    "\n",
    "\n",
    "* C5.0 is Quinlan’s latest version release under a proprietary license. It uses less memory and builds smaller rulesets than C4.5 while being more accurate.\n",
    "\n",
    "\n",
    "* CART (Classification and Regression Trees) is very similar to C4.5, but it differs in that it supports numerical target variables (regression) and does not compute rule sets. CART constructs binary trees using the feature and threshold that yield the largest information gain at each node.\n",
    "\n",
    "\n",
    "* CHAID (Chi-squared Automatic Interaction Detector). by Gordon Kass. Performs multi-level splits when computing classification trees. Non-parametric. Does not require the data to be normally distributed. \n",
    "\n",
    "scikit-learn uses an optimised version of the CART algorithm."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gini Impurity\n",
    "\n",
    "scikit-learn default\n",
    "\n",
    "[Gini Impurity](https://en.wikipedia.org/wiki/Decision_tree_learning#Gini_impurity)\n",
    "\n",
    "A measure of purity / variability of categorical data\n",
    "\n",
    "As a side note on the difference between [Gini Impurity and Gini Coefficient](https://datascience.stackexchange.com/questions/1095/gini-coefficient-vs-gini-impurity-decision-trees)\n",
    "\n",
    "* No, despite their names they are not equivalent or even that similar.\n",
    "* **Gini impurity** is a measure of misclassification, which applies in a multiclass classifier context.\n",
    "* **Gini coefficient** applies to binary classification and requires a classifier that can in some way rank examples according to the likelihood of being in a positive class.\n",
    "* Both could be applied in some cases, but they are different measures for different things. Impurity is what is commonly used in decision trees.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "Developed by [Corrado Gini](https://en.wikipedia.org/wiki/Corrado_Gini) in 1912\n",
    "\n",
    "Key Points:\n",
    "* A pure node (homogeneous contents or samples with the same class) will have a Gini coefficient of zero\n",
    "* As the variation increases (heterogeneneous classes or increase diversity), Gini coefficient increases and approaches 1.\n",
    "\n",
    "$$Gini=1-\\sum^r_j p^2_j$$\n",
    "\n",
    "$p$ is the probability (often based on the frequency table)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src='img//tree_gini_imp.png' width=80%>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Entropy\n",
    "\n",
    "[Wikipedia](https://en.wikipedia.org/wiki/Entropy_(information_theory)\n",
    "\n",
    "The entropy can explicitly be written as\n",
    "\n",
    "$${\\displaystyle \\mathrm {H} (X)=\\sum _{i=1}^{n}{\\mathrm {P} (x_{i})\\,\\mathrm {I} (x_{i})}=-\\sum _{i=1}^{n}{\\mathrm {P} (x_{i})\\log _{b}\\mathrm {P} (x_{i})},}$$\n",
    "\n",
    "where `b` is the base of the logarithm used. Common values of `b` are 2, Euler's number `e`, and 10\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Which should I use?\n",
    "\n",
    "[Sebastian Raschka](https://sebastianraschka.com/faq/docs/decision-tree-binary.html)\n",
    "\n",
    "* They tend to generate similar tree\n",
    "* Gini tends to be faster to compute"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gini(p):\n",
    "    return (p)*(1 - (p)) + (1 - p)*(1 - (1-p))\n",
    "def entropy(p):\n",
    "    return - p*np.log2(p) - (1 - p)*np.log2((1 - p))\n",
    "def error(p):\n",
    "    return 1 - np.max([p, 1 - p])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.arange(0.0, 1.0, 0.01)\n",
    "\n",
    "ent = [entropy(p) if p != 0 else None for p in x]\n",
    "\n",
    "sc_ent = [e*0.5 if e else None for e in ent]\n",
    "err = [error(i) for i in x]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,8))\n",
    "ax = plt.subplot(111)\n",
    "for i, lab, ls, c, in zip([ent, sc_ent, gini(x), err], \n",
    "                   ['Entropy', 'Entropy (scaled)', \n",
    "                   'Gini Impurity', \n",
    "                   'Misclassification Error'],\n",
    "                   ['-', '-', '--', '-.'],\n",
    "                   ['black', 'lightgray',\n",
    "                      'red', 'green', 'cyan']):\n",
    "     line = ax.plot(x, i, label=lab, \n",
    "                    linestyle=ls, lw=2, color=c)\n",
    "ax.legend(loc='upper center', bbox_to_anchor=(0.5, 1.15),\n",
    "           ncol=3, fancybox=True, shadow=False)\n",
    "ax.axhline(y=0.5, linewidth=1, color='k', linestyle='--')\n",
    "ax.axhline(y=1.0, linewidth=1, color='k', linestyle='--')\n",
    "plt.ylim([0, 1.1])\n",
    "plt.xlabel('p(i=1)')\n",
    "plt.ylabel('Impurity Index')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Information Gain\n",
    "\n",
    "* Expected reduction in entropy caused by splitting \n",
    "\n",
    "* Keep splitting until you obtain as close to homogeneous class as possible\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = [[0, 0], [3,3]]\n",
    "y = [0.75, 3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "tree_reg = tree.DecisionTreeRegressor(random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "tree_reg = tree_reg.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.75])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tree_reg.predict([[1.5, 1.5]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import the necessary modules and libraries\n",
    "import numpy as np\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Create a random dataset\n",
    "rng = np.random.RandomState(1)\n",
    "X = np.sort(5 * rng.rand(80, 1), axis=0)\n",
    "y = np.sin(X).ravel()\n",
    "y[::5] += 3 * (0.5 - rng.rand(16))\n",
    "\n",
    "# Fit regression model\n",
    "regr_1 = DecisionTreeRegressor(max_depth=2)\n",
    "regr_2 = DecisionTreeRegressor(max_depth=5)\n",
    "regr_1.fit(X, y)\n",
    "regr_2.fit(X, y)\n",
    "\n",
    "# Predict\n",
    "X_test = np.arange(0.0, 5.0, 0.01)[:, np.newaxis]\n",
    "y_1 = regr_1.predict(X_test)\n",
    "y_2 = regr_2.predict(X_test)\n",
    "\n",
    "# Plot the results\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.scatter(X, y, s=20, edgecolor=\"black\",\n",
    "            c=\"darkorange\", label=\"data\")\n",
    "plt.plot(X_test, y_1, color=\"cornflowerblue\",\n",
    "         label=\"max_depth=2\", linewidth=2)\n",
    "plt.plot(X_test, y_2, color=\"yellowgreen\", label=\"max_depth=5\", linewidth=2)\n",
    "plt.xlabel(\"data\")\n",
    "plt.ylabel(\"target\")\n",
    "plt.title(\"Decision Tree Regression\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "dot_data = tree.export_graphviz(regr_1, out_file=None,\n",
    "                                filled=True)\n",
    "graph = graphviz.Source(dot_data)\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "dot_data = tree.export_graphviz(regr_2, out_file=None,\n",
    "                                filled=True)\n",
    "graph = graphviz.Source(dot_data)\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Regularization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import the necessary modules and libraries\n",
    "import numpy as np\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Create a random dataset\n",
    "rng = np.random.RandomState(1)\n",
    "X = np.sort(5 * rng.rand(80, 1), axis=0)\n",
    "y = np.sin(X).ravel()\n",
    "y[::5] += 3 * (0.5 - rng.rand(16))\n",
    "\n",
    "# Fit regression model\n",
    "regr_1 = DecisionTreeRegressor(max_depth=2)\n",
    "regr_2 = DecisionTreeRegressor(max_depth=5, min_samples_leaf=10)\n",
    "regr_1.fit(X, y)\n",
    "regr_2.fit(X, y)\n",
    "\n",
    "# Predict\n",
    "X_test = np.arange(0.0, 5.0, 0.01)[:, np.newaxis]\n",
    "y_1 = regr_1.predict(X_test)\n",
    "y_2 = regr_2.predict(X_test)\n",
    "\n",
    "# Plot the results\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.scatter(X, y, s=20, edgecolor=\"black\",\n",
    "            c=\"darkorange\", label=\"data\")\n",
    "plt.plot(X_test, y_1, color=\"cornflowerblue\",\n",
    "         label=\"max_depth=2\", linewidth=2)\n",
    "plt.plot(X_test, y_2, color=\"yellowgreen\", label=\"max_depth=5\", linewidth=2)\n",
    "plt.xlabel(\"data\")\n",
    "plt.ylabel(\"target\")\n",
    "plt.title(\"Decision Tree Regression\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "dot_data = tree.export_graphviz(regr_2, out_file=None,\n",
    "                                filled=True)\n",
    "graph = graphviz.Source(dot_data)\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Overfitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "from sklearn import tree\n",
    "iris = load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris.data[:, 0:2]\n",
    "y = iris.target\n",
    "clf = tree.DecisionTreeClassifier(random_state=42)\n",
    "clf = clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "dot_data = tree.export_graphviz(clf, out_file=None,\n",
    "                                feature_names=iris.feature_names[2:],\n",
    "                                class_names=iris.target_names,\n",
    "                                rounded=True,\n",
    "                                filled=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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       "<text text-anchor=\"middle\" x=\"982\" y=\"-1301.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 0&#45;&gt;14 -->\n",
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       "<title>0&#45;&gt;14</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M819.0403,-1413.3803C840.9085,-1402.9293 864.532,-1391.6393 886.8255,-1380.985\"/>\n",
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       "<text text-anchor=\"middle\" x=\"887.629\" y=\"-1396.4937\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">False</text>\n",
       "</g>\n",
       "<!-- 2 -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>2</title>\n",
       "<path fill=\"#7beeab\" stroke=\"#000000\" d=\"M389,-1258C389,-1258 249,-1258 249,-1258 243,-1258 237,-1252 237,-1246 237,-1246 237,-1187 237,-1187 237,-1181 243,-1175 249,-1175 249,-1175 389,-1175 389,-1175 395,-1175 401,-1181 401,-1187 401,-1187 401,-1246 401,-1246 401,-1252 395,-1258 389,-1258\"/>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1242.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 4.7</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1227.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.449</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1212.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 7</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1197.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [1, 5, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1182.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 1&#45;&gt;2 -->\n",
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       "<title>1&#45;&gt;2</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M493.3297,-1298.1742C466.9259,-1285.8039 437.3371,-1271.9414 410.1386,-1259.1988\"/>\n",
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       "<!-- 9 -->\n",
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       "<title>9</title>\n",
       "<path fill=\"#e6843d\" stroke=\"#000000\" d=\"M647,-1258C647,-1258 499,-1258 499,-1258 493,-1258 487,-1252 487,-1246 487,-1246 487,-1187 487,-1187 487,-1181 493,-1175 499,-1175 499,-1175 647,-1175 647,-1175 653,-1175 659,-1181 659,-1187 659,-1187 659,-1246 659,-1246 659,-1252 653,-1258 647,-1258\"/>\n",
       "<text text-anchor=\"middle\" x=\"573\" y=\"-1242.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.35</text>\n",
       "<text text-anchor=\"middle\" x=\"573\" y=\"-1227.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.043</text>\n",
       "<text text-anchor=\"middle\" x=\"573\" y=\"-1212.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 45</text>\n",
       "<text text-anchor=\"middle\" x=\"573\" y=\"-1197.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [44, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"573\" y=\"-1182.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = setosa</text>\n",
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       "<!-- 1&#45;&gt;9 -->\n",
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       "<title>1&#45;&gt;9</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M573,-1293.8796C573,-1285.6838 573,-1276.9891 573,-1268.5013\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"576.5001,-1268.298 573,-1258.2981 569.5001,-1268.2981 576.5001,-1268.298\"/>\n",
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       "<!-- 3 -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>3</title>\n",
       "<path fill=\"#e58139\" stroke=\"#000000\" d=\"M202.5,-1131.5C202.5,-1131.5 113.5,-1131.5 113.5,-1131.5 107.5,-1131.5 101.5,-1125.5 101.5,-1119.5 101.5,-1119.5 101.5,-1075.5 101.5,-1075.5 101.5,-1069.5 107.5,-1063.5 113.5,-1063.5 113.5,-1063.5 202.5,-1063.5 202.5,-1063.5 208.5,-1063.5 214.5,-1069.5 214.5,-1075.5 214.5,-1075.5 214.5,-1119.5 214.5,-1119.5 214.5,-1125.5 208.5,-1131.5 202.5,-1131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"158\" y=\"-1116.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"158\" y=\"-1101.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"158\" y=\"-1086.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [1, 0, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"158\" y=\"-1071.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = setosa</text>\n",
       "</g>\n",
       "<!-- 2&#45;&gt;3 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>2&#45;&gt;3</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M262.69,-1174.8796C246.3968,-1162.8368 228.6461,-1149.7167 212.4675,-1137.7586\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"214.2886,-1134.7524 204.1665,-1131.623 210.1279,-1140.3816 214.2886,-1134.7524\"/>\n",
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       "<!-- 4 -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>4</title>\n",
       "<path fill=\"#61ea9a\" stroke=\"#000000\" d=\"M393,-1139C393,-1139 245,-1139 245,-1139 239,-1139 233,-1133 233,-1127 233,-1127 233,-1068 233,-1068 233,-1062 239,-1056 245,-1056 245,-1056 393,-1056 393,-1056 399,-1056 405,-1062 405,-1068 405,-1068 405,-1127 405,-1127 405,-1133 399,-1139 393,-1139\"/>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1123.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 4.95</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1108.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.278</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1093.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 6</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1078.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 5, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"319\" y=\"-1063.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 2&#45;&gt;4 -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>2&#45;&gt;4</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M319,-1174.8796C319,-1166.6838 319,-1157.9891 319,-1149.5013\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"322.5001,-1149.298 319,-1139.2981 315.5001,-1149.2981 322.5001,-1149.298\"/>\n",
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       "<!-- 5 -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title>5</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M247.5,-1020C247.5,-1020 104.5,-1020 104.5,-1020 98.5,-1020 92.5,-1014 92.5,-1008 92.5,-1008 92.5,-949 92.5,-949 92.5,-943 98.5,-937 104.5,-937 104.5,-937 247.5,-937 247.5,-937 253.5,-937 259.5,-943 259.5,-949 259.5,-949 259.5,-1008 259.5,-1008 259.5,-1014 253.5,-1020 247.5,-1020\"/>\n",
       "<text text-anchor=\"middle\" x=\"176\" y=\"-1004.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.45</text>\n",
       "<text text-anchor=\"middle\" x=\"176\" y=\"-989.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"176\" y=\"-974.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"176\" y=\"-959.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"176\" y=\"-944.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 4&#45;&gt;5 -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>4&#45;&gt;5</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M268.9855,-1055.8796C257.7299,-1046.513 245.6912,-1036.4948 234.1354,-1026.8784\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"236.1534,-1024.0043 226.2279,-1020.2981 231.6758,-1029.385 236.1534,-1024.0043\"/>\n",
       "</g>\n",
       "<!-- 8 -->\n",
       "<g id=\"node9\" class=\"node\">\n",
       "<title>8</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M390,-1012.5C390,-1012.5 290,-1012.5 290,-1012.5 284,-1012.5 278,-1006.5 278,-1000.5 278,-1000.5 278,-956.5 278,-956.5 278,-950.5 284,-944.5 290,-944.5 290,-944.5 390,-944.5 390,-944.5 396,-944.5 402,-950.5 402,-956.5 402,-956.5 402,-1000.5 402,-1000.5 402,-1006.5 396,-1012.5 390,-1012.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"340\" y=\"-997.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"340\" y=\"-982.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 4</text>\n",
       "<text text-anchor=\"middle\" x=\"340\" y=\"-967.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 4, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"340\" y=\"-952.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 4&#45;&gt;8 -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>4&#45;&gt;8</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M326.3448,-1055.8796C328.2271,-1045.2134 330.2585,-1033.7021 332.1644,-1022.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"335.6532,-1023.2711 333.9444,-1012.8149 328.7597,-1022.0545 335.6532,-1023.2711\"/>\n",
       "</g>\n",
       "<!-- 6 -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title>6</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M158,-893.5C158,-893.5 58,-893.5 58,-893.5 52,-893.5 46,-887.5 46,-881.5 46,-881.5 46,-837.5 46,-837.5 46,-831.5 52,-825.5 58,-825.5 58,-825.5 158,-825.5 158,-825.5 164,-825.5 170,-831.5 170,-837.5 170,-837.5 170,-881.5 170,-881.5 170,-887.5 164,-893.5 158,-893.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"108\" y=\"-878.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"108\" y=\"-863.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"108\" y=\"-848.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"108\" y=\"-833.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 5&#45;&gt;6 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>5&#45;&gt;6</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M152.2169,-936.8796C145.8706,-925.7735 139.0007,-913.7513 132.6109,-902.5691\"/>\n",
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       "</g>\n",
       "<!-- 7 -->\n",
       "<g id=\"node8\" class=\"node\">\n",
       "<title>7</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M292,-893.5C292,-893.5 200,-893.5 200,-893.5 194,-893.5 188,-887.5 188,-881.5 188,-881.5 188,-837.5 188,-837.5 188,-831.5 194,-825.5 200,-825.5 200,-825.5 292,-825.5 292,-825.5 298,-825.5 304,-831.5 304,-837.5 304,-837.5 304,-881.5 304,-881.5 304,-887.5 298,-893.5 292,-893.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"246\" y=\"-878.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"246\" y=\"-863.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"246\" y=\"-848.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"246\" y=\"-833.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 5&#45;&gt;7 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>5&#45;&gt;7</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M200.4826,-936.8796C207.0156,-925.7735 214.0875,-913.7513 220.6652,-902.5691\"/>\n",
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       "<!-- 10 -->\n",
       "<g id=\"node11\" class=\"node\">\n",
       "<title>10</title>\n",
       "<path fill=\"#e58139\" stroke=\"#000000\" d=\"M531,-1131.5C531,-1131.5 435,-1131.5 435,-1131.5 429,-1131.5 423,-1125.5 423,-1119.5 423,-1119.5 423,-1075.5 423,-1075.5 423,-1069.5 429,-1063.5 435,-1063.5 435,-1063.5 531,-1063.5 531,-1063.5 537,-1063.5 543,-1069.5 543,-1075.5 543,-1075.5 543,-1119.5 543,-1119.5 543,-1125.5 537,-1131.5 531,-1131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"483\" y=\"-1116.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"483\" y=\"-1101.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 39</text>\n",
       "<text text-anchor=\"middle\" x=\"483\" y=\"-1086.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [39, 0, 0]</text>\n",
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       "<!-- 9&#45;&gt;10 -->\n",
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       "<title>9&#45;&gt;10</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M541.5224,-1174.8796C532.9565,-1163.5536 523.67,-1151.2748 515.0717,-1139.9058\"/>\n",
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       "<!-- 11 -->\n",
       "<g id=\"node12\" class=\"node\">\n",
       "<title>11</title>\n",
       "<path fill=\"#ea9a61\" stroke=\"#000000\" d=\"M708.5,-1139C708.5,-1139 573.5,-1139 573.5,-1139 567.5,-1139 561.5,-1133 561.5,-1127 561.5,-1127 561.5,-1068 561.5,-1068 561.5,-1062 567.5,-1056 573.5,-1056 573.5,-1056 708.5,-1056 708.5,-1056 714.5,-1056 720.5,-1062 720.5,-1068 720.5,-1068 720.5,-1127 720.5,-1127 720.5,-1133 714.5,-1139 708.5,-1139\"/>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-1123.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 3.2</text>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-1108.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.278</text>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-1093.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 6</text>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-1078.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [5, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-1063.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = setosa</text>\n",
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       "<!-- 9&#45;&gt;11 -->\n",
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       "<title>9&#45;&gt;11</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M596.7831,-1174.8796C601.7237,-1166.2335 606.9816,-1157.0322 612.0833,-1148.1042\"/>\n",
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       "<g id=\"node13\" class=\"node\">\n",
       "<title>12</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M554,-1012.5C554,-1012.5 454,-1012.5 454,-1012.5 448,-1012.5 442,-1006.5 442,-1000.5 442,-1000.5 442,-956.5 442,-956.5 442,-950.5 448,-944.5 454,-944.5 454,-944.5 554,-944.5 554,-944.5 560,-944.5 566,-950.5 566,-956.5 566,-956.5 566,-1000.5 566,-1000.5 566,-1006.5 560,-1012.5 554,-1012.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"504\" y=\"-997.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"504\" y=\"-982.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"504\" y=\"-967.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"504\" y=\"-952.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<title>11&#45;&gt;12</title>\n",
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       "<title>13</title>\n",
       "<path fill=\"#e58139\" stroke=\"#000000\" d=\"M685.5,-1012.5C685.5,-1012.5 596.5,-1012.5 596.5,-1012.5 590.5,-1012.5 584.5,-1006.5 584.5,-1000.5 584.5,-1000.5 584.5,-956.5 584.5,-956.5 584.5,-950.5 590.5,-944.5 596.5,-944.5 596.5,-944.5 685.5,-944.5 685.5,-944.5 691.5,-944.5 697.5,-950.5 697.5,-956.5 697.5,-956.5 697.5,-1000.5 697.5,-1000.5 697.5,-1006.5 691.5,-1012.5 685.5,-1012.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-997.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-982.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-967.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [5, 0, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"641\" y=\"-952.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = setosa</text>\n",
       "</g>\n",
       "<!-- 11&#45;&gt;13 -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
       "<title>11&#45;&gt;13</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M641,-1055.8796C641,-1045.2134 641,-1033.7021 641,-1022.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"644.5001,-1022.8149 641,-1012.8149 637.5001,-1022.815 644.5001,-1022.8149\"/>\n",
       "</g>\n",
       "<!-- 15 -->\n",
       "<g id=\"node16\" class=\"node\">\n",
       "<title>15</title>\n",
       "<path fill=\"#93f1ba\" stroke=\"#000000\" d=\"M1053.5,-1258C1053.5,-1258 910.5,-1258 910.5,-1258 904.5,-1258 898.5,-1252 898.5,-1246 898.5,-1246 898.5,-1187 898.5,-1187 898.5,-1181 904.5,-1175 910.5,-1175 910.5,-1175 1053.5,-1175 1053.5,-1175 1059.5,-1175 1065.5,-1181 1065.5,-1187 1065.5,-1187 1065.5,-1246 1065.5,-1246 1065.5,-1252 1059.5,-1258 1053.5,-1258\"/>\n",
       "<text text-anchor=\"middle\" x=\"982\" y=\"-1242.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 3.45</text>\n",
       "<text text-anchor=\"middle\" x=\"982\" y=\"-1227.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.508</text>\n",
       "<text text-anchor=\"middle\" x=\"982\" y=\"-1212.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 43</text>\n",
       "<text text-anchor=\"middle\" x=\"982\" y=\"-1197.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [5, 28, 10]</text>\n",
       "<text text-anchor=\"middle\" x=\"982\" y=\"-1182.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 14&#45;&gt;15 -->\n",
       "<g id=\"edge15\" class=\"edge\">\n",
       "<title>14&#45;&gt;15</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M982,-1293.8796C982,-1285.6838 982,-1276.9891 982,-1268.5013\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"985.5001,-1268.298 982,-1258.2981 978.5001,-1268.2981 985.5001,-1268.298\"/>\n",
       "</g>\n",
       "<!-- 52 -->\n",
       "<g id=\"node53\" class=\"node\">\n",
       "<title>52</title>\n",
       "<path fill=\"#b58af0\" stroke=\"#000000\" d=\"M1338,-1258C1338,-1258 1190,-1258 1190,-1258 1184,-1258 1178,-1252 1178,-1246 1178,-1246 1178,-1187 1178,-1187 1178,-1181 1184,-1175 1190,-1175 1190,-1175 1338,-1175 1338,-1175 1344,-1175 1350,-1181 1350,-1187 1350,-1187 1350,-1246 1350,-1246 1350,-1252 1344,-1258 1338,-1258\"/>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1242.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 7.05</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1227.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.413</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1212.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 55</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1197.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 16, 39]</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1182.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 14&#45;&gt;52 -->\n",
       "<g id=\"edge52\" class=\"edge\">\n",
       "<title>14&#45;&gt;52</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1068.1416,-1299.1495C1099.8374,-1285.7743 1135.9148,-1270.5501 1168.3947,-1256.8441\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1170.0479,-1259.9454 1177.9004,-1252.8328 1167.3263,-1253.4961 1170.0479,-1259.9454\"/>\n",
       "</g>\n",
       "<!-- 16 -->\n",
       "<g id=\"node17\" class=\"node\">\n",
       "<title>16</title>\n",
       "<path fill=\"#80eeae\" stroke=\"#000000\" d=\"M976,-1139C976,-1139 828,-1139 828,-1139 822,-1139 816,-1133 816,-1127 816,-1127 816,-1068 816,-1068 816,-1062 822,-1056 828,-1056 828,-1056 976,-1056 976,-1056 982,-1056 988,-1062 988,-1068 988,-1068 988,-1127 988,-1127 988,-1133 982,-1139 976,-1139\"/>\n",
       "<text text-anchor=\"middle\" x=\"902\" y=\"-1123.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.75</text>\n",
       "<text text-anchor=\"middle\" x=\"902\" y=\"-1108.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.388</text>\n",
       "<text text-anchor=\"middle\" x=\"902\" y=\"-1093.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 38</text>\n",
       "<text text-anchor=\"middle\" x=\"902\" y=\"-1078.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 28, 10]</text>\n",
       "<text text-anchor=\"middle\" x=\"902\" y=\"-1063.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 15&#45;&gt;16 -->\n",
       "<g id=\"edge16\" class=\"edge\">\n",
       "<title>15&#45;&gt;16</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M954.0199,-1174.8796C948.1469,-1166.1434 941.8927,-1156.8404 935.8321,-1147.8253\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"938.5834,-1145.6444 930.0995,-1139.2981 932.7741,-1149.5498 938.5834,-1145.6444\"/>\n",
       "</g>\n",
       "<!-- 51 -->\n",
       "<g id=\"node52\" class=\"node\">\n",
       "<title>51</title>\n",
       "<path fill=\"#e58139\" stroke=\"#000000\" d=\"M1107.5,-1131.5C1107.5,-1131.5 1018.5,-1131.5 1018.5,-1131.5 1012.5,-1131.5 1006.5,-1125.5 1006.5,-1119.5 1006.5,-1119.5 1006.5,-1075.5 1006.5,-1075.5 1006.5,-1069.5 1012.5,-1063.5 1018.5,-1063.5 1018.5,-1063.5 1107.5,-1063.5 1107.5,-1063.5 1113.5,-1063.5 1119.5,-1069.5 1119.5,-1075.5 1119.5,-1075.5 1119.5,-1119.5 1119.5,-1119.5 1119.5,-1125.5 1113.5,-1131.5 1107.5,-1131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1063\" y=\"-1116.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1063\" y=\"-1101.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"1063\" y=\"-1086.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [5, 0, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"1063\" y=\"-1071.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = setosa</text>\n",
       "</g>\n",
       "<!-- 15&#45;&gt;51 -->\n",
       "<g id=\"edge51\" class=\"edge\">\n",
       "<title>15&#45;&gt;51</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1010.3299,-1174.8796C1017.9643,-1163.6636 1026.2348,-1151.5131 1033.9099,-1140.2372\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1036.9092,-1142.0511 1039.6428,-1131.8149 1031.1225,-1138.1122 1036.9092,-1142.0511\"/>\n",
       "</g>\n",
       "<!-- 17 -->\n",
       "<g id=\"node18\" class=\"node\">\n",
       "<title>17</title>\n",
       "<path fill=\"#53e892\" stroke=\"#000000\" d=\"M870.5,-1020C870.5,-1020 727.5,-1020 727.5,-1020 721.5,-1020 715.5,-1014 715.5,-1008 715.5,-1008 715.5,-949 715.5,-949 715.5,-943 721.5,-937 727.5,-937 727.5,-937 870.5,-937 870.5,-937 876.5,-937 882.5,-943 882.5,-949 882.5,-949 882.5,-1008 882.5,-1008 882.5,-1014 876.5,-1020 870.5,-1020\"/>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-1004.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.85</text>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-989.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.208</text>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-974.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 17</text>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-959.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 15, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-944.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 16&#45;&gt;17 -->\n",
       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>16&#45;&gt;17</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M865.9756,-1055.8796C858.1802,-1046.8733 849.8633,-1037.2644 841.8356,-1027.9897\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"844.3691,-1025.5686 835.1782,-1020.2981 839.0763,-1030.1498 844.3691,-1025.5686\"/>\n",
       "</g>\n",
       "<!-- 30 -->\n",
       "<g id=\"node31\" class=\"node\">\n",
       "<title>30</title>\n",
       "<path fill=\"#b3f5cf\" stroke=\"#000000\" d=\"M1047.5,-1020C1047.5,-1020 912.5,-1020 912.5,-1020 906.5,-1020 900.5,-1014 900.5,-1008 900.5,-1008 900.5,-949 900.5,-949 900.5,-943 906.5,-937 912.5,-937 912.5,-937 1047.5,-937 1047.5,-937 1053.5,-937 1059.5,-943 1059.5,-949 1059.5,-949 1059.5,-1008 1059.5,-1008 1059.5,-1014 1053.5,-1020 1047.5,-1020\"/>\n",
       "<text text-anchor=\"middle\" x=\"980\" y=\"-1004.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 3.1</text>\n",
       "<text text-anchor=\"middle\" x=\"980\" y=\"-989.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.472</text>\n",
       "<text text-anchor=\"middle\" x=\"980\" y=\"-974.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 21</text>\n",
       "<text text-anchor=\"middle\" x=\"980\" y=\"-959.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 13, 8]</text>\n",
       "<text text-anchor=\"middle\" x=\"980\" y=\"-944.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 16&#45;&gt;30 -->\n",
       "<g id=\"edge30\" class=\"edge\">\n",
       "<title>16&#45;&gt;30</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M929.2806,-1055.8796C935.0068,-1047.1434 941.1046,-1037.8404 947.0137,-1028.8253\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"950.0482,-1030.5803 952.6029,-1020.2981 944.1937,-1026.7429 950.0482,-1030.5803\"/>\n",
       "</g>\n",
       "<!-- 18 -->\n",
       "<g id=\"node19\" class=\"node\">\n",
       "<title>18</title>\n",
       "<path fill=\"#61ea9a\" stroke=\"#000000\" d=\"M525,-901C525,-901 377,-901 377,-901 371,-901 365,-895 365,-889 365,-889 365,-830 365,-830 365,-824 371,-818 377,-818 377,-818 525,-818 525,-818 531,-818 537,-824 537,-830 537,-830 537,-889 537,-889 537,-895 531,-901 525,-901\"/>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-885.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.55</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-870.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.278</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-855.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 12</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-840.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 10, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-825.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 17&#45;&gt;18 -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
       "<title>17&#45;&gt;18</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M715.2988,-940.5734C712.1712,-939.3398 709.0642,-938.1442 706,-937 654.1937,-917.6545 595.1807,-899.4805 546.9815,-885.6007\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"547.7567,-882.182 537.1796,-882.7941 545.8298,-888.9116 547.7567,-882.182\"/>\n",
       "</g>\n",
       "<!-- 29 -->\n",
       "<g id=\"node30\" class=\"node\">\n",
       "<title>29</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M849,-893.5C849,-893.5 749,-893.5 749,-893.5 743,-893.5 737,-887.5 737,-881.5 737,-881.5 737,-837.5 737,-837.5 737,-831.5 743,-825.5 749,-825.5 749,-825.5 849,-825.5 849,-825.5 855,-825.5 861,-831.5 861,-837.5 861,-837.5 861,-881.5 861,-881.5 861,-887.5 855,-893.5 849,-893.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-878.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-863.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-848.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 5, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"799\" y=\"-833.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 17&#45;&gt;29 -->\n",
       "<g id=\"edge29\" class=\"edge\">\n",
       "<title>17&#45;&gt;29</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M799,-936.8796C799,-926.2134 799,-914.7021 799,-903.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"802.5001,-903.8149 799,-893.8149 795.5001,-903.815 802.5001,-903.8149\"/>\n",
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       "<!-- 19 -->\n",
       "<g id=\"node20\" class=\"node\">\n",
       "<title>19</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M337,-774.5C337,-774.5 237,-774.5 237,-774.5 231,-774.5 225,-768.5 225,-762.5 225,-762.5 225,-718.5 225,-718.5 225,-712.5 231,-706.5 237,-706.5 237,-706.5 337,-706.5 337,-706.5 343,-706.5 349,-712.5 349,-718.5 349,-718.5 349,-762.5 349,-762.5 349,-768.5 343,-774.5 337,-774.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"287\" y=\"-759.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"287\" y=\"-744.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"287\" y=\"-729.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 5, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"287\" y=\"-714.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 18&#45;&gt;19 -->\n",
       "<g id=\"edge19\" class=\"edge\">\n",
       "<title>18&#45;&gt;19</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M393.6408,-817.8796C377.0439,-805.8368 358.9625,-792.7167 342.4824,-780.7586\"/>\n",
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       "<!-- 20 -->\n",
       "<g id=\"node21\" class=\"node\">\n",
       "<title>20</title>\n",
       "<path fill=\"#88efb3\" stroke=\"#000000\" d=\"M522.5,-782C522.5,-782 379.5,-782 379.5,-782 373.5,-782 367.5,-776 367.5,-770 367.5,-770 367.5,-711 367.5,-711 367.5,-705 373.5,-699 379.5,-699 379.5,-699 522.5,-699 522.5,-699 528.5,-699 534.5,-705 534.5,-711 534.5,-711 534.5,-770 534.5,-770 534.5,-776 528.5,-782 522.5,-782\"/>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-766.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.55</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-751.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.408</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-736.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 7</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-721.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 5, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-706.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 18&#45;&gt;20 -->\n",
       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>18&#45;&gt;20</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M451,-817.8796C451,-809.6838 451,-800.9891 451,-792.5013\"/>\n",
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       "<!-- 21 -->\n",
       "<g id=\"node22\" class=\"node\">\n",
       "<title>21</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M274,-663C274,-663 126,-663 126,-663 120,-663 114,-657 114,-651 114,-651 114,-592 114,-592 114,-586 120,-580 126,-580 126,-580 274,-580 274,-580 280,-580 286,-586 286,-592 286,-592 286,-651 286,-651 286,-657 280,-663 274,-663\"/>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-647.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.65</text>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-632.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-617.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-602.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-587.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 20&#45;&gt;21 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>20&#45;&gt;21</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M367.4206,-700.8747C344.3814,-689.9517 319.2127,-678.0192 295.5522,-666.8016\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"296.7534,-663.4977 286.2181,-662.3763 293.7546,-669.8229 296.7534,-663.4977\"/>\n",
       "</g>\n",
       "<!-- 24 -->\n",
       "<g id=\"node25\" class=\"node\">\n",
       "<title>24</title>\n",
       "<path fill=\"#6aeca0\" stroke=\"#000000\" d=\"M525,-663C525,-663 377,-663 377,-663 371,-663 365,-657 365,-651 365,-651 365,-592 365,-592 365,-586 371,-580 377,-580 377,-580 525,-580 525,-580 531,-580 537,-586 537,-592 537,-592 537,-651 537,-651 537,-657 531,-663 525,-663\"/>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-647.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.65</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-632.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.32</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-617.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-602.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 4, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"451\" y=\"-587.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 20&#45;&gt;24 -->\n",
       "<g id=\"edge24\" class=\"edge\">\n",
       "<title>20&#45;&gt;24</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M451,-698.8796C451,-690.6838 451,-681.9891 451,-673.5013\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"454.5001,-673.298 451,-663.2981 447.5001,-673.2981 454.5001,-673.298\"/>\n",
       "</g>\n",
       "<!-- 22 -->\n",
       "<g id=\"node23\" class=\"node\">\n",
       "<title>22</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M112,-536.5C112,-536.5 12,-536.5 12,-536.5 6,-536.5 0,-530.5 0,-524.5 0,-524.5 0,-480.5 0,-480.5 0,-474.5 6,-468.5 12,-468.5 12,-468.5 112,-468.5 112,-468.5 118,-468.5 124,-474.5 124,-480.5 124,-480.5 124,-524.5 124,-524.5 124,-530.5 118,-536.5 112,-536.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"62\" y=\"-521.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"62\" y=\"-506.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"62\" y=\"-491.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"62\" y=\"-476.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 21&#45;&gt;22 -->\n",
       "<g id=\"edge22\" class=\"edge\">\n",
       "<title>21&#45;&gt;22</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M151.7343,-579.8796C138.0899,-568.1138 123.2531,-555.3197 109.6454,-543.5855\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"111.6527,-540.6948 101.7938,-536.8149 107.0813,-545.9961 111.6527,-540.6948\"/>\n",
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       "<!-- 23 -->\n",
       "<g id=\"node24\" class=\"node\">\n",
       "<title>23</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M246,-536.5C246,-536.5 154,-536.5 154,-536.5 148,-536.5 142,-530.5 142,-524.5 142,-524.5 142,-480.5 142,-480.5 142,-474.5 148,-468.5 154,-468.5 154,-468.5 246,-468.5 246,-468.5 252,-468.5 258,-474.5 258,-480.5 258,-480.5 258,-524.5 258,-524.5 258,-530.5 252,-536.5 246,-536.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-521.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-506.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-491.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-476.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 21&#45;&gt;23 -->\n",
       "<g id=\"edge23\" class=\"edge\">\n",
       "<title>21&#45;&gt;23</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M200,-579.8796C200,-569.2134 200,-557.7021 200,-546.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"203.5001,-546.8149 200,-536.8149 196.5001,-546.815 203.5001,-546.8149\"/>\n",
       "</g>\n",
       "<!-- 25 -->\n",
       "<g id=\"node26\" class=\"node\">\n",
       "<title>25</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M431.5,-544C431.5,-544 288.5,-544 288.5,-544 282.5,-544 276.5,-538 276.5,-532 276.5,-532 276.5,-473 276.5,-473 276.5,-467 282.5,-461 288.5,-461 288.5,-461 431.5,-461 431.5,-461 437.5,-461 443.5,-467 443.5,-473 443.5,-473 443.5,-532 443.5,-532 443.5,-538 437.5,-544 431.5,-544\"/>\n",
       "<text text-anchor=\"middle\" x=\"360\" y=\"-528.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.75</text>\n",
       "<text text-anchor=\"middle\" x=\"360\" y=\"-513.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"360\" y=\"-498.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"360\" y=\"-483.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"360\" y=\"-468.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 24&#45;&gt;25 -->\n",
       "<g id=\"edge25\" class=\"edge\">\n",
       "<title>24&#45;&gt;25</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M419.1726,-579.8796C412.3543,-570.9633 405.0844,-561.4565 398.0579,-552.268\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"400.818,-550.1156 391.9632,-544.2981 395.2575,-554.3678 400.818,-550.1156\"/>\n",
       "</g>\n",
       "<!-- 28 -->\n",
       "<g id=\"node29\" class=\"node\">\n",
       "<title>28</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M574,-536.5C574,-536.5 474,-536.5 474,-536.5 468,-536.5 462,-530.5 462,-524.5 462,-524.5 462,-480.5 462,-480.5 462,-474.5 468,-468.5 474,-468.5 474,-468.5 574,-468.5 574,-468.5 580,-468.5 586,-474.5 586,-480.5 586,-480.5 586,-524.5 586,-524.5 586,-530.5 580,-536.5 574,-536.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"524\" y=\"-521.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"524\" y=\"-506.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 3</text>\n",
       "<text text-anchor=\"middle\" x=\"524\" y=\"-491.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 3, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"524\" y=\"-476.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 24&#45;&gt;28 -->\n",
       "<g id=\"edge28\" class=\"edge\">\n",
       "<title>24&#45;&gt;28</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M476.5319,-579.8796C483.3448,-568.7735 490.7198,-556.7513 497.5794,-545.5691\"/>\n",
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       "</g>\n",
       "<!-- 26 -->\n",
       "<g id=\"node27\" class=\"node\">\n",
       "<title>26</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M284,-417.5C284,-417.5 184,-417.5 184,-417.5 178,-417.5 172,-411.5 172,-405.5 172,-405.5 172,-361.5 172,-361.5 172,-355.5 178,-349.5 184,-349.5 184,-349.5 284,-349.5 284,-349.5 290,-349.5 296,-355.5 296,-361.5 296,-361.5 296,-405.5 296,-405.5 296,-411.5 290,-417.5 284,-417.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"234\" y=\"-402.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"234\" y=\"-387.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"234\" y=\"-372.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"234\" y=\"-357.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 25&#45;&gt;26 -->\n",
       "<g id=\"edge26\" class=\"edge\">\n",
       "<title>25&#45;&gt;26</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M315.9313,-460.8796C303.5898,-449.2237 290.1798,-436.5587 277.851,-424.9148\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"280.0068,-422.1366 270.3335,-417.8149 275.2004,-427.2258 280.0068,-422.1366\"/>\n",
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       "<!-- 27 -->\n",
       "<g id=\"node28\" class=\"node\">\n",
       "<title>27</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M418,-417.5C418,-417.5 326,-417.5 326,-417.5 320,-417.5 314,-411.5 314,-405.5 314,-405.5 314,-361.5 314,-361.5 314,-355.5 320,-349.5 326,-349.5 326,-349.5 418,-349.5 418,-349.5 424,-349.5 430,-355.5 430,-361.5 430,-361.5 430,-405.5 430,-405.5 430,-411.5 424,-417.5 418,-417.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"372\" y=\"-402.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"372\" y=\"-387.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"372\" y=\"-372.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"372\" y=\"-357.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 25&#45;&gt;27 -->\n",
       "<g id=\"edge27\" class=\"edge\">\n",
       "<title>25&#45;&gt;27</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M364.197,-460.8796C365.2726,-450.2134 366.4334,-438.7021 367.5225,-427.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"371.0186,-428.1157 368.5397,-417.8149 364.0539,-427.4133 371.0186,-428.1157\"/>\n",
       "</g>\n",
       "<!-- 31 -->\n",
       "<g id=\"node32\" class=\"node\">\n",
       "<title>31</title>\n",
       "<path fill=\"#c9f8dd\" stroke=\"#000000\" d=\"M1042.5,-901C1042.5,-901 899.5,-901 899.5,-901 893.5,-901 887.5,-895 887.5,-889 887.5,-889 887.5,-830 887.5,-830 887.5,-824 893.5,-818 899.5,-818 899.5,-818 1042.5,-818 1042.5,-818 1048.5,-818 1054.5,-824 1054.5,-830 1054.5,-830 1054.5,-889 1054.5,-889 1054.5,-895 1048.5,-901 1042.5,-901\"/>\n",
       "<text text-anchor=\"middle\" x=\"971\" y=\"-885.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.95</text>\n",
       "<text text-anchor=\"middle\" x=\"971\" y=\"-870.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.488</text>\n",
       "<text text-anchor=\"middle\" x=\"971\" y=\"-855.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 19</text>\n",
       "<text text-anchor=\"middle\" x=\"971\" y=\"-840.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 11, 8]</text>\n",
       "<text text-anchor=\"middle\" x=\"971\" y=\"-825.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 30&#45;&gt;31 -->\n",
       "<g id=\"edge31\" class=\"edge\">\n",
       "<title>30&#45;&gt;31</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M976.8522,-936.8796C976.2324,-928.6838 975.5748,-919.9891 974.9329,-911.5013\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"978.4055,-911.0056 974.1612,-901.2981 971.4254,-911.5336 978.4055,-911.0056\"/>\n",
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       "<!-- 50 -->\n",
       "<g id=\"node51\" class=\"node\">\n",
       "<title>50</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M1185,-893.5C1185,-893.5 1085,-893.5 1085,-893.5 1079,-893.5 1073,-887.5 1073,-881.5 1073,-881.5 1073,-837.5 1073,-837.5 1073,-831.5 1079,-825.5 1085,-825.5 1085,-825.5 1185,-825.5 1185,-825.5 1191,-825.5 1197,-831.5 1197,-837.5 1197,-837.5 1197,-881.5 1197,-881.5 1197,-887.5 1191,-893.5 1185,-893.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1135\" y=\"-878.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1135\" y=\"-863.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"1135\" y=\"-848.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"1135\" y=\"-833.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 30&#45;&gt;50 -->\n",
       "<g id=\"edge50\" class=\"edge\">\n",
       "<title>30&#45;&gt;50</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1034.2115,-936.8796C1049.8231,-924.8938 1066.8247,-911.841 1082.3408,-899.9287\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1084.5035,-902.6808 1090.3041,-893.8149 1080.2407,-897.1285 1084.5035,-902.6808\"/>\n",
       "</g>\n",
       "<!-- 32 -->\n",
       "<g id=\"node33\" class=\"node\">\n",
       "<title>32</title>\n",
       "<path fill=\"#a7f3c7\" stroke=\"#000000\" d=\"M906.5,-782C906.5,-782 763.5,-782 763.5,-782 757.5,-782 751.5,-776 751.5,-770 751.5,-770 751.5,-711 751.5,-711 751.5,-705 757.5,-699 763.5,-699 763.5,-699 906.5,-699 906.5,-699 912.5,-699 918.5,-705 918.5,-711 918.5,-711 918.5,-770 918.5,-770 918.5,-776 912.5,-782 906.5,-782\"/>\n",
       "<text text-anchor=\"middle\" x=\"835\" y=\"-766.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.85</text>\n",
       "<text text-anchor=\"middle\" x=\"835\" y=\"-751.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.459</text>\n",
       "<text text-anchor=\"middle\" x=\"835\" y=\"-736.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 14</text>\n",
       "<text text-anchor=\"middle\" x=\"835\" y=\"-721.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 9, 5]</text>\n",
       "<text text-anchor=\"middle\" x=\"835\" y=\"-706.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 31&#45;&gt;32 -->\n",
       "<g id=\"edge32\" class=\"edge\">\n",
       "<title>31&#45;&gt;32</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M923.4338,-817.8796C912.8321,-808.6031 901.4998,-798.6874 890.6067,-789.1559\"/>\n",
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       "<!-- 45 -->\n",
       "<g id=\"node46\" class=\"node\">\n",
       "<title>45</title>\n",
       "<path fill=\"#d5bdf6\" stroke=\"#000000\" d=\"M1097,-782C1097,-782 949,-782 949,-782 943,-782 937,-776 937,-770 937,-770 937,-711 937,-711 937,-705 943,-699 949,-699 949,-699 1097,-699 1097,-699 1103,-699 1109,-705 1109,-711 1109,-711 1109,-770 1109,-770 1109,-776 1103,-782 1097,-782\"/>\n",
       "<text text-anchor=\"middle\" x=\"1023\" y=\"-766.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.95</text>\n",
       "<text text-anchor=\"middle\" x=\"1023\" y=\"-751.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.48</text>\n",
       "<text text-anchor=\"middle\" x=\"1023\" y=\"-736.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"1023\" y=\"-721.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 3]</text>\n",
       "<text text-anchor=\"middle\" x=\"1023\" y=\"-706.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 31&#45;&gt;45 -->\n",
       "<g id=\"edge45\" class=\"edge\">\n",
       "<title>31&#45;&gt;45</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M989.1871,-817.8796C992.8865,-809.4136 996.8185,-800.4153 1000.6433,-791.6626\"/>\n",
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       "<!-- 33 -->\n",
       "<g id=\"node34\" class=\"node\">\n",
       "<title>33</title>\n",
       "<path fill=\"#c6f8db\" stroke=\"#000000\" d=\"M762,-663C762,-663 622,-663 622,-663 616,-663 610,-657 610,-651 610,-651 610,-592 610,-592 610,-586 616,-580 622,-580 622,-580 762,-580 762,-580 768,-580 774,-586 774,-592 774,-592 774,-651 774,-651 774,-657 768,-663 762,-663\"/>\n",
       "<text text-anchor=\"middle\" x=\"692\" y=\"-647.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 5.9</text>\n",
       "<text text-anchor=\"middle\" x=\"692\" y=\"-632.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.486</text>\n",
       "<text text-anchor=\"middle\" x=\"692\" y=\"-617.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 12</text>\n",
       "<text text-anchor=\"middle\" x=\"692\" y=\"-602.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 7, 5]</text>\n",
       "<text text-anchor=\"middle\" x=\"692\" y=\"-587.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 32&#45;&gt;33 -->\n",
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       "<title>32&#45;&gt;33</title>\n",
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       "<!-- 44 -->\n",
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       "<title>44</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M904,-655.5C904,-655.5 804,-655.5 804,-655.5 798,-655.5 792,-649.5 792,-643.5 792,-643.5 792,-599.5 792,-599.5 792,-593.5 798,-587.5 804,-587.5 804,-587.5 904,-587.5 904,-587.5 910,-587.5 916,-593.5 916,-599.5 916,-599.5 916,-643.5 916,-643.5 916,-649.5 910,-655.5 904,-655.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"854\" y=\"-640.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"854\" y=\"-625.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"854\" y=\"-610.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"854\" y=\"-595.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 32&#45;&gt;44 -->\n",
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       "<title>32&#45;&gt;44</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M841.6453,-698.8796C843.3483,-688.2134 845.1862,-676.7021 846.9107,-665.9015\"/>\n",
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       "<!-- 34 -->\n",
       "<g id=\"node35\" class=\"node\">\n",
       "<title>34</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M759.5,-544C759.5,-544 616.5,-544 616.5,-544 610.5,-544 604.5,-538 604.5,-532 604.5,-532 604.5,-473 604.5,-473 604.5,-467 610.5,-461 616.5,-461 616.5,-461 759.5,-461 759.5,-461 765.5,-461 771.5,-467 771.5,-473 771.5,-473 771.5,-532 771.5,-532 771.5,-538 765.5,-544 759.5,-544\"/>\n",
       "<text text-anchor=\"middle\" x=\"688\" y=\"-528.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.65</text>\n",
       "<text text-anchor=\"middle\" x=\"688\" y=\"-513.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"688\" y=\"-498.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 6</text>\n",
       "<text text-anchor=\"middle\" x=\"688\" y=\"-483.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 3, 3]</text>\n",
       "<text text-anchor=\"middle\" x=\"688\" y=\"-468.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 33&#45;&gt;34 -->\n",
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       "<title>33&#45;&gt;34</title>\n",
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       "<!-- 39 -->\n",
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       "<title>39</title>\n",
       "<path fill=\"#9cf2c0\" stroke=\"#000000\" d=\"M945.5,-544C945.5,-544 802.5,-544 802.5,-544 796.5,-544 790.5,-538 790.5,-532 790.5,-532 790.5,-473 790.5,-473 790.5,-467 796.5,-461 802.5,-461 802.5,-461 945.5,-461 945.5,-461 951.5,-461 957.5,-467 957.5,-473 957.5,-473 957.5,-532 957.5,-532 957.5,-538 951.5,-544 945.5,-544\"/>\n",
       "<text text-anchor=\"middle\" x=\"874\" y=\"-528.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.65</text>\n",
       "<text text-anchor=\"middle\" x=\"874\" y=\"-513.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.444</text>\n",
       "<text text-anchor=\"middle\" x=\"874\" y=\"-498.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 6</text>\n",
       "<text text-anchor=\"middle\" x=\"874\" y=\"-483.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 4, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"874\" y=\"-468.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 33&#45;&gt;39 -->\n",
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       "<title>33&#45;&gt;39</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M755.6548,-579.8796C770.6176,-570.0962 786.6677,-559.6019 801.9691,-549.5971\"/>\n",
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       "<!-- 35 -->\n",
       "<g id=\"node36\" class=\"node\">\n",
       "<title>35</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M573,-417.5C573,-417.5 473,-417.5 473,-417.5 467,-417.5 461,-411.5 461,-405.5 461,-405.5 461,-361.5 461,-361.5 461,-355.5 467,-349.5 473,-349.5 473,-349.5 573,-349.5 573,-349.5 579,-349.5 585,-355.5 585,-361.5 585,-361.5 585,-405.5 585,-405.5 585,-411.5 579,-417.5 573,-417.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"523\" y=\"-402.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"523\" y=\"-387.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"523\" y=\"-372.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"523\" y=\"-357.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 34&#45;&gt;35 -->\n",
       "<g id=\"edge35\" class=\"edge\">\n",
       "<title>34&#45;&gt;35</title>\n",
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       "<!-- 36 -->\n",
       "<g id=\"node37\" class=\"node\">\n",
       "<title>36</title>\n",
       "<path fill=\"#d5bdf6\" stroke=\"#000000\" d=\"M758.5,-425C758.5,-425 615.5,-425 615.5,-425 609.5,-425 603.5,-419 603.5,-413 603.5,-413 603.5,-354 603.5,-354 603.5,-348 609.5,-342 615.5,-342 615.5,-342 758.5,-342 758.5,-342 764.5,-342 770.5,-348 770.5,-354 770.5,-354 770.5,-413 770.5,-413 770.5,-419 764.5,-425 758.5,-425\"/>\n",
       "<text text-anchor=\"middle\" x=\"687\" y=\"-409.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.75</text>\n",
       "<text text-anchor=\"middle\" x=\"687\" y=\"-394.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.48</text>\n",
       "<text text-anchor=\"middle\" x=\"687\" y=\"-379.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"687\" y=\"-364.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 3]</text>\n",
       "<text text-anchor=\"middle\" x=\"687\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 34&#45;&gt;36 -->\n",
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       "<title>34&#45;&gt;36</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M687.6502,-460.8796C687.5814,-452.6838 687.5083,-443.9891 687.437,-435.5013\"/>\n",
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       "</g>\n",
       "<!-- 37 -->\n",
       "<g id=\"node38\" class=\"node\">\n",
       "<title>37</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M612,-298.5C612,-298.5 512,-298.5 512,-298.5 506,-298.5 500,-292.5 500,-286.5 500,-286.5 500,-242.5 500,-242.5 500,-236.5 506,-230.5 512,-230.5 512,-230.5 612,-230.5 612,-230.5 618,-230.5 624,-236.5 624,-242.5 624,-242.5 624,-286.5 624,-286.5 624,-292.5 618,-298.5 612,-298.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"562\" y=\"-283.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"562\" y=\"-268.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 4</text>\n",
       "<text text-anchor=\"middle\" x=\"562\" y=\"-253.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"562\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 36&#45;&gt;37 -->\n",
       "<g id=\"edge37\" class=\"edge\">\n",
       "<title>36&#45;&gt;37</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M643.2811,-341.8796C631.0375,-330.2237 617.7339,-317.5587 605.5029,-305.9148\"/>\n",
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       "<!-- 38 -->\n",
       "<g id=\"node39\" class=\"node\">\n",
       "<title>38</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M746,-298.5C746,-298.5 654,-298.5 654,-298.5 648,-298.5 642,-292.5 642,-286.5 642,-286.5 642,-242.5 642,-242.5 642,-236.5 648,-230.5 654,-230.5 654,-230.5 746,-230.5 746,-230.5 752,-230.5 758,-236.5 758,-242.5 758,-242.5 758,-286.5 758,-286.5 758,-292.5 752,-298.5 746,-298.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"700\" y=\"-283.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"700\" y=\"-268.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"700\" y=\"-253.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"700\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 36&#45;&gt;38 -->\n",
       "<g id=\"edge38\" class=\"edge\">\n",
       "<title>36&#45;&gt;38</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M691.5468,-341.8796C692.712,-331.2134 693.9695,-319.7021 695.1494,-308.9015\"/>\n",
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       "<!-- 40 -->\n",
       "<g id=\"node41\" class=\"node\">\n",
       "<title>40</title>\n",
       "<path fill=\"#c09cf2\" stroke=\"#000000\" d=\"M949,-425C949,-425 801,-425 801,-425 795,-425 789,-419 789,-413 789,-413 789,-354 789,-354 789,-348 795,-342 801,-342 801,-342 949,-342 949,-342 955,-342 961,-348 961,-354 961,-354 961,-413 961,-413 961,-419 955,-425 949,-425\"/>\n",
       "<text text-anchor=\"middle\" x=\"875\" y=\"-409.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.05</text>\n",
       "<text text-anchor=\"middle\" x=\"875\" y=\"-394.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.444</text>\n",
       "<text text-anchor=\"middle\" x=\"875\" y=\"-379.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 3</text>\n",
       "<text text-anchor=\"middle\" x=\"875\" y=\"-364.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"875\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 39&#45;&gt;40 -->\n",
       "<g id=\"edge40\" class=\"edge\">\n",
       "<title>39&#45;&gt;40</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M874.3498,-460.8796C874.4186,-452.6838 874.4917,-443.9891 874.563,-435.5013\"/>\n",
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       "<!-- 43 -->\n",
       "<g id=\"node44\" class=\"node\">\n",
       "<title>43</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M1091,-417.5C1091,-417.5 991,-417.5 991,-417.5 985,-417.5 979,-411.5 979,-405.5 979,-405.5 979,-361.5 979,-361.5 979,-355.5 985,-349.5 991,-349.5 991,-349.5 1091,-349.5 1091,-349.5 1097,-349.5 1103,-355.5 1103,-361.5 1103,-361.5 1103,-405.5 1103,-405.5 1103,-411.5 1097,-417.5 1091,-417.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1041\" y=\"-402.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1041\" y=\"-387.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 3</text>\n",
       "<text text-anchor=\"middle\" x=\"1041\" y=\"-372.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 3, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"1041\" y=\"-357.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 39&#45;&gt;43 -->\n",
       "<g id=\"edge43\" class=\"edge\">\n",
       "<title>39&#45;&gt;43</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M932.4085,-460.8796C949.464,-448.7263 968.0591,-435.4759 984.9641,-423.4297\"/>\n",
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       "<g id=\"node42\" class=\"node\">\n",
       "<title>41</title>\n",
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       "<text text-anchor=\"middle\" x=\"863\" y=\"-283.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"863\" y=\"-268.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"863\" y=\"-253.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"863\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 40&#45;&gt;41 -->\n",
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       "<title>40&#45;&gt;41</title>\n",
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       "<g id=\"node43\" class=\"node\">\n",
       "<title>42</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M1047,-298.5C1047,-298.5 955,-298.5 955,-298.5 949,-298.5 943,-292.5 943,-286.5 943,-286.5 943,-242.5 943,-242.5 943,-236.5 949,-230.5 955,-230.5 955,-230.5 1047,-230.5 1047,-230.5 1053,-230.5 1059,-236.5 1059,-242.5 1059,-242.5 1059,-286.5 1059,-286.5 1059,-292.5 1053,-298.5 1047,-298.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1001\" y=\"-283.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
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       "<text text-anchor=\"middle\" x=\"1001\" y=\"-253.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"1001\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 40&#45;&gt;42 -->\n",
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       "<title>40&#45;&gt;42</title>\n",
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       "<g id=\"node47\" class=\"node\">\n",
       "<title>46</title>\n",
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       "<text text-anchor=\"middle\" x=\"1003\" y=\"-625.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"1003\" y=\"-610.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"1003\" y=\"-595.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 45&#45;&gt;46 -->\n",
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       "<title>45&#45;&gt;46</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1016.005,-698.8796C1014.2123,-688.2134 1012.2777,-676.7021 1010.4624,-665.9015\"/>\n",
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       "<!-- 47 -->\n",
       "<g id=\"node48\" class=\"node\">\n",
       "<title>47</title>\n",
       "<path fill=\"#c09cf2\" stroke=\"#000000\" d=\"M1243,-663C1243,-663 1095,-663 1095,-663 1089,-663 1083,-657 1083,-651 1083,-651 1083,-592 1083,-592 1083,-586 1089,-580 1095,-580 1095,-580 1243,-580 1243,-580 1249,-580 1255,-586 1255,-592 1255,-592 1255,-651 1255,-651 1255,-657 1249,-663 1243,-663\"/>\n",
       "<text text-anchor=\"middle\" x=\"1169\" y=\"-647.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.05</text>\n",
       "<text text-anchor=\"middle\" x=\"1169\" y=\"-632.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.444</text>\n",
       "<text text-anchor=\"middle\" x=\"1169\" y=\"-617.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 3</text>\n",
       "<text text-anchor=\"middle\" x=\"1169\" y=\"-602.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"1169\" y=\"-587.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 45&#45;&gt;47 -->\n",
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       "<title>45&#45;&gt;47</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1074.0637,-698.8796C1085.5555,-689.513 1097.8468,-679.4948 1109.645,-669.8784\"/>\n",
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       "<!-- 48 -->\n",
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       "<title>48</title>\n",
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       "<text text-anchor=\"middle\" x=\"1034\" y=\"-521.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1034\" y=\"-506.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"1034\" y=\"-491.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"1034\" y=\"-476.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 47&#45;&gt;48 -->\n",
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       "<title>47&#45;&gt;48</title>\n",
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       "<!-- 49 -->\n",
       "<g id=\"node50\" class=\"node\">\n",
       "<title>49</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M1222,-536.5C1222,-536.5 1122,-536.5 1122,-536.5 1116,-536.5 1110,-530.5 1110,-524.5 1110,-524.5 1110,-480.5 1110,-480.5 1110,-474.5 1116,-468.5 1122,-468.5 1122,-468.5 1222,-468.5 1222,-468.5 1228,-468.5 1234,-474.5 1234,-480.5 1234,-480.5 1234,-524.5 1234,-524.5 1234,-530.5 1228,-536.5 1222,-536.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1172\" y=\"-521.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"1172\" y=\"-506.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"1172\" y=\"-491.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"1172\" y=\"-476.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 47&#45;&gt;49 -->\n",
       "<g id=\"edge49\" class=\"edge\">\n",
       "<title>47&#45;&gt;49</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1170.0493,-579.8796C1170.3182,-569.2134 1170.6084,-557.7021 1170.8806,-546.9015\"/>\n",
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       "<!-- 53 -->\n",
       "<g id=\"node54\" class=\"node\">\n",
       "<title>53</title>\n",
       "<path fill=\"#ccaef4\" stroke=\"#000000\" d=\"M1331.5,-1139C1331.5,-1139 1196.5,-1139 1196.5,-1139 1190.5,-1139 1184.5,-1133 1184.5,-1127 1184.5,-1127 1184.5,-1068 1184.5,-1068 1184.5,-1062 1190.5,-1056 1196.5,-1056 1196.5,-1056 1331.5,-1056 1331.5,-1056 1337.5,-1056 1343.5,-1062 1343.5,-1068 1343.5,-1068 1343.5,-1127 1343.5,-1127 1343.5,-1133 1337.5,-1139 1331.5,-1139\"/>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1123.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.4</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1108.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.467</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1093.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 43</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1078.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 16, 27]</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-1063.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 52&#45;&gt;53 -->\n",
       "<g id=\"edge53\" class=\"edge\">\n",
       "<title>52&#45;&gt;53</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1264,-1174.8796C1264,-1166.6838 1264,-1157.9891 1264,-1149.5013\"/>\n",
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       "<!-- 92 -->\n",
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       "<title>92</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M1470,-1131.5C1470,-1131.5 1374,-1131.5 1374,-1131.5 1368,-1131.5 1362,-1125.5 1362,-1119.5 1362,-1119.5 1362,-1075.5 1362,-1075.5 1362,-1069.5 1368,-1063.5 1374,-1063.5 1374,-1063.5 1470,-1063.5 1470,-1063.5 1476,-1063.5 1482,-1069.5 1482,-1075.5 1482,-1075.5 1482,-1119.5 1482,-1119.5 1482,-1125.5 1476,-1131.5 1470,-1131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1422\" y=\"-1116.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1422\" y=\"-1101.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 12</text>\n",
       "<text text-anchor=\"middle\" x=\"1422\" y=\"-1086.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 12]</text>\n",
       "<text text-anchor=\"middle\" x=\"1422\" y=\"-1071.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 52&#45;&gt;92 -->\n",
       "<g id=\"edge92\" class=\"edge\">\n",
       "<title>52&#45;&gt;92</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1319.2607,-1174.8796C1335.2503,-1162.8368 1352.6703,-1149.7167 1368.5474,-1137.7586\"/>\n",
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       "<!-- 54 -->\n",
       "<g id=\"node55\" class=\"node\">\n",
       "<title>54</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M1314,-1012.5C1314,-1012.5 1214,-1012.5 1214,-1012.5 1208,-1012.5 1202,-1006.5 1202,-1000.5 1202,-1000.5 1202,-956.5 1202,-956.5 1202,-950.5 1208,-944.5 1214,-944.5 1214,-944.5 1314,-944.5 1314,-944.5 1320,-944.5 1326,-950.5 1326,-956.5 1326,-956.5 1326,-1000.5 1326,-1000.5 1326,-1006.5 1320,-1012.5 1314,-1012.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-997.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-982.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-967.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"1264\" y=\"-952.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 53&#45;&gt;54 -->\n",
       "<g id=\"edge54\" class=\"edge\">\n",
       "<title>53&#45;&gt;54</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1264,-1055.8796C1264,-1045.2134 1264,-1033.7021 1264,-1022.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1267.5001,-1022.8149 1264,-1012.8149 1260.5001,-1022.815 1267.5001,-1022.8149\"/>\n",
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       "<!-- 55 -->\n",
       "<g id=\"node56\" class=\"node\">\n",
       "<title>55</title>\n",
       "<path fill=\"#c2a0f2\" stroke=\"#000000\" d=\"M1643,-1020C1643,-1020 1495,-1020 1495,-1020 1489,-1020 1483,-1014 1483,-1008 1483,-1008 1483,-949 1483,-949 1483,-943 1489,-937 1495,-937 1495,-937 1643,-937 1643,-937 1649,-937 1655,-943 1655,-949 1655,-949 1655,-1008 1655,-1008 1655,-1014 1649,-1020 1643,-1020\"/>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-1004.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.95</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-989.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.45</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-974.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 41</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-959.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 14, 27]</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-944.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 53&#45;&gt;55 -->\n",
       "<g id=\"edge55\" class=\"edge\">\n",
       "<title>53&#45;&gt;55</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1343.8999,-1059.8215C1346.9634,-1058.5111 1350.0045,-1057.2327 1353,-1056 1391.9743,-1039.961 1435.6212,-1023.944 1473.424,-1010.6695\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1474.6182,-1013.9598 1482.9026,-1007.3553 1472.3078,-1007.352 1474.6182,-1013.9598\"/>\n",
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       "<!-- 56 -->\n",
       "<g id=\"node57\" class=\"node\">\n",
       "<title>56</title>\n",
       "<path fill=\"#be98f2\" stroke=\"#000000\" d=\"M1640.5,-901C1640.5,-901 1497.5,-901 1497.5,-901 1491.5,-901 1485.5,-895 1485.5,-889 1485.5,-889 1485.5,-830 1485.5,-830 1485.5,-824 1491.5,-818 1497.5,-818 1497.5,-818 1640.5,-818 1640.5,-818 1646.5,-818 1652.5,-824 1652.5,-830 1652.5,-830 1652.5,-889 1652.5,-889 1652.5,-895 1646.5,-901 1640.5,-901\"/>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-885.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 3.15</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-870.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.439</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-855.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 40</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-840.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 13, 27]</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-825.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 55&#45;&gt;56 -->\n",
       "<g id=\"edge56\" class=\"edge\">\n",
       "<title>55&#45;&gt;56</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1569,-936.8796C1569,-928.6838 1569,-919.9891 1569,-911.5013\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1572.5001,-911.298 1569,-901.2981 1565.5001,-911.2981 1572.5001,-911.298\"/>\n",
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       "<!-- 91 -->\n",
       "<g id=\"node92\" class=\"node\">\n",
       "<title>91</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M1783,-893.5C1783,-893.5 1683,-893.5 1683,-893.5 1677,-893.5 1671,-887.5 1671,-881.5 1671,-881.5 1671,-837.5 1671,-837.5 1671,-831.5 1677,-825.5 1683,-825.5 1683,-825.5 1783,-825.5 1783,-825.5 1789,-825.5 1795,-831.5 1795,-837.5 1795,-837.5 1795,-881.5 1795,-881.5 1795,-887.5 1789,-893.5 1783,-893.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-878.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-863.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-848.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-833.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 55&#45;&gt;91 -->\n",
       "<g id=\"edge91\" class=\"edge\">\n",
       "<title>55&#45;&gt;91</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1626.3592,-936.8796C1642.9561,-924.8368 1661.0375,-911.7167 1677.5176,-899.7586\"/>\n",
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       "<!-- 57 -->\n",
       "<g id=\"node58\" class=\"node\">\n",
       "<title>57</title>\n",
       "<path fill=\"#ceb2f5\" stroke=\"#000000\" d=\"M1643,-782C1643,-782 1495,-782 1495,-782 1489,-782 1483,-776 1483,-770 1483,-770 1483,-711 1483,-711 1483,-705 1489,-699 1495,-699 1495,-699 1643,-699 1643,-699 1649,-699 1655,-705 1655,-711 1655,-711 1655,-770 1655,-770 1655,-776 1649,-782 1643,-782\"/>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-766.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.55</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-751.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.471</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-736.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 29</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-721.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 11, 18]</text>\n",
       "<text text-anchor=\"middle\" x=\"1569\" y=\"-706.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 56&#45;&gt;57 -->\n",
       "<g id=\"edge57\" class=\"edge\">\n",
       "<title>56&#45;&gt;57</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1569,-817.8796C1569,-809.6838 1569,-800.9891 1569,-792.5013\"/>\n",
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       "<g id=\"node85\" class=\"node\">\n",
       "<title>84</title>\n",
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       "<text text-anchor=\"middle\" x=\"1987\" y=\"-766.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.45</text>\n",
       "<text text-anchor=\"middle\" x=\"1987\" y=\"-751.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.298</text>\n",
       "<text text-anchor=\"middle\" x=\"1987\" y=\"-736.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 11</text>\n",
       "<text text-anchor=\"middle\" x=\"1987\" y=\"-721.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 9]</text>\n",
       "<text text-anchor=\"middle\" x=\"1987\" y=\"-706.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 56&#45;&gt;84 -->\n",
       "<g id=\"edge84\" class=\"edge\">\n",
       "<title>56&#45;&gt;84</title>\n",
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       "<!-- 58 -->\n",
       "<g id=\"node59\" class=\"node\">\n",
       "<title>58</title>\n",
       "<path fill=\"#ab7bee\" stroke=\"#000000\" d=\"M1546.5,-663C1546.5,-663 1403.5,-663 1403.5,-663 1397.5,-663 1391.5,-657 1391.5,-651 1391.5,-651 1391.5,-592 1391.5,-592 1391.5,-586 1397.5,-580 1403.5,-580 1403.5,-580 1546.5,-580 1546.5,-580 1552.5,-580 1558.5,-586 1558.5,-592 1558.5,-592 1558.5,-651 1558.5,-651 1558.5,-657 1552.5,-663 1546.5,-663\"/>\n",
       "<text text-anchor=\"middle\" x=\"1475\" y=\"-647.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.95</text>\n",
       "<text text-anchor=\"middle\" x=\"1475\" y=\"-632.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.375</text>\n",
       "<text text-anchor=\"middle\" x=\"1475\" y=\"-617.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 16</text>\n",
       "<text text-anchor=\"middle\" x=\"1475\" y=\"-602.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 4, 12]</text>\n",
       "<text text-anchor=\"middle\" x=\"1475\" y=\"-587.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 57&#45;&gt;58 -->\n",
       "<g id=\"edge58\" class=\"edge\">\n",
       "<title>57&#45;&gt;58</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1536.1234,-698.8796C1529.0803,-689.9633 1521.5707,-680.4565 1514.3126,-671.268\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1516.9621,-668.9757 1508.017,-663.2981 1511.4691,-673.3147 1516.9621,-668.9757\"/>\n",
       "</g>\n",
       "<!-- 71 -->\n",
       "<g id=\"node72\" class=\"node\">\n",
       "<title>71</title>\n",
       "<path fill=\"#e3fbed\" stroke=\"#000000\" d=\"M1737,-663C1737,-663 1589,-663 1589,-663 1583,-663 1577,-657 1577,-651 1577,-651 1577,-592 1577,-592 1577,-586 1583,-580 1589,-580 1589,-580 1737,-580 1737,-580 1743,-580 1749,-586 1749,-592 1749,-592 1749,-651 1749,-651 1749,-657 1743,-663 1737,-663\"/>\n",
       "<text text-anchor=\"middle\" x=\"1663\" y=\"-647.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.65</text>\n",
       "<text text-anchor=\"middle\" x=\"1663\" y=\"-632.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.497</text>\n",
       "<text text-anchor=\"middle\" x=\"1663\" y=\"-617.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 13</text>\n",
       "<text text-anchor=\"middle\" x=\"1663\" y=\"-602.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 7, 6]</text>\n",
       "<text text-anchor=\"middle\" x=\"1663\" y=\"-587.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 57&#45;&gt;71 -->\n",
       "<g id=\"edge71\" class=\"edge\">\n",
       "<title>57&#45;&gt;71</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1601.8766,-698.8796C1608.9197,-689.9633 1616.4293,-680.4565 1623.6874,-671.268\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1626.5309,-673.3147 1629.983,-663.2981 1621.0379,-668.9757 1626.5309,-673.3147\"/>\n",
       "</g>\n",
       "<!-- 59 -->\n",
       "<g id=\"node60\" class=\"node\">\n",
       "<title>59</title>\n",
       "<path fill=\"#c09cf2\" stroke=\"#000000\" d=\"M1412,-544C1412,-544 1264,-544 1264,-544 1258,-544 1252,-538 1252,-532 1252,-532 1252,-473 1252,-473 1252,-467 1258,-461 1264,-461 1264,-461 1412,-461 1412,-461 1418,-461 1424,-467 1424,-473 1424,-473 1424,-532 1424,-532 1424,-538 1418,-544 1412,-544\"/>\n",
       "<text text-anchor=\"middle\" x=\"1338\" y=\"-528.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.45</text>\n",
       "<text text-anchor=\"middle\" x=\"1338\" y=\"-513.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.444</text>\n",
       "<text text-anchor=\"middle\" x=\"1338\" y=\"-498.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 12</text>\n",
       "<text text-anchor=\"middle\" x=\"1338\" y=\"-483.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 4, 8]</text>\n",
       "<text text-anchor=\"middle\" x=\"1338\" y=\"-468.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 58&#45;&gt;59 -->\n",
       "<g id=\"edge59\" class=\"edge\">\n",
       "<title>58&#45;&gt;59</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1427.084,-579.8796C1416.3007,-570.513 1404.7671,-560.4948 1393.6961,-550.8784\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1395.9653,-548.2134 1386.1205,-544.2981 1391.3749,-553.4982 1395.9653,-548.2134\"/>\n",
       "</g>\n",
       "<!-- 70 -->\n",
       "<g id=\"node71\" class=\"node\">\n",
       "<title>70</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M1546,-536.5C1546,-536.5 1454,-536.5 1454,-536.5 1448,-536.5 1442,-530.5 1442,-524.5 1442,-524.5 1442,-480.5 1442,-480.5 1442,-474.5 1448,-468.5 1454,-468.5 1454,-468.5 1546,-468.5 1546,-468.5 1552,-468.5 1558,-474.5 1558,-480.5 1558,-480.5 1558,-524.5 1558,-524.5 1558,-530.5 1552,-536.5 1546,-536.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1500\" y=\"-521.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1500\" y=\"-506.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 4</text>\n",
       "<text text-anchor=\"middle\" x=\"1500\" y=\"-491.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 4]</text>\n",
       "<text text-anchor=\"middle\" x=\"1500\" y=\"-476.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 58&#45;&gt;70 -->\n",
       "<g id=\"edge70\" class=\"edge\">\n",
       "<title>58&#45;&gt;70</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1483.7438,-579.8796C1485.9846,-569.2134 1488.4029,-557.7021 1490.6719,-546.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1494.1602,-547.3209 1492.791,-536.8149 1487.3097,-545.8817 1494.1602,-547.3209\"/>\n",
       "</g>\n",
       "<!-- 60 -->\n",
       "<g id=\"node61\" class=\"node\">\n",
       "<title>60</title>\n",
       "<path fill=\"#b083ef\" stroke=\"#000000\" d=\"M1344.5,-425C1344.5,-425 1201.5,-425 1201.5,-425 1195.5,-425 1189.5,-419 1189.5,-413 1189.5,-413 1189.5,-354 1189.5,-354 1189.5,-348 1195.5,-342 1201.5,-342 1201.5,-342 1344.5,-342 1344.5,-342 1350.5,-342 1356.5,-348 1356.5,-354 1356.5,-354 1356.5,-413 1356.5,-413 1356.5,-419 1350.5,-425 1344.5,-425\"/>\n",
       "<text text-anchor=\"middle\" x=\"1273\" y=\"-409.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.85</text>\n",
       "<text text-anchor=\"middle\" x=\"1273\" y=\"-394.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.397</text>\n",
       "<text text-anchor=\"middle\" x=\"1273\" y=\"-379.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 11</text>\n",
       "<text text-anchor=\"middle\" x=\"1273\" y=\"-364.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 3, 8]</text>\n",
       "<text text-anchor=\"middle\" x=\"1273\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 59&#45;&gt;60 -->\n",
       "<g id=\"edge60\" class=\"edge\">\n",
       "<title>59&#45;&gt;60</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1315.2662,-460.8796C1310.5435,-452.2335 1305.5176,-443.0322 1300.641,-434.1042\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1303.6963,-432.3964 1295.8309,-425.2981 1297.553,-435.752 1303.6963,-432.3964\"/>\n",
       "</g>\n",
       "<!-- 69 -->\n",
       "<g id=\"node70\" class=\"node\">\n",
       "<title>69</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M1487,-417.5C1487,-417.5 1387,-417.5 1387,-417.5 1381,-417.5 1375,-411.5 1375,-405.5 1375,-405.5 1375,-361.5 1375,-361.5 1375,-355.5 1381,-349.5 1387,-349.5 1387,-349.5 1487,-349.5 1487,-349.5 1493,-349.5 1499,-355.5 1499,-361.5 1499,-361.5 1499,-405.5 1499,-405.5 1499,-411.5 1493,-417.5 1487,-417.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1437\" y=\"-402.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1437\" y=\"-387.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"1437\" y=\"-372.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"1437\" y=\"-357.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 59&#45;&gt;69 -->\n",
       "<g id=\"edge69\" class=\"edge\">\n",
       "<title>59&#45;&gt;69</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1372.6254,-460.8796C1382.1393,-449.4436 1392.4614,-437.0363 1401.9965,-425.575\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1404.7474,-427.7409 1408.4523,-417.8149 1399.3661,-423.264 1404.7474,-427.7409\"/>\n",
       "</g>\n",
       "<!-- 61 -->\n",
       "<g id=\"node62\" class=\"node\">\n",
       "<title>61</title>\n",
       "<path fill=\"#9355e9\" stroke=\"#000000\" d=\"M1229.5,-306C1229.5,-306 1094.5,-306 1094.5,-306 1088.5,-306 1082.5,-300 1082.5,-294 1082.5,-294 1082.5,-235 1082.5,-235 1082.5,-229 1088.5,-223 1094.5,-223 1094.5,-223 1229.5,-223 1229.5,-223 1235.5,-223 1241.5,-229 1241.5,-235 1241.5,-235 1241.5,-294 1241.5,-294 1241.5,-300 1235.5,-306 1229.5,-306\"/>\n",
       "<text text-anchor=\"middle\" x=\"1162\" y=\"-290.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.6</text>\n",
       "<text text-anchor=\"middle\" x=\"1162\" y=\"-275.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.219</text>\n",
       "<text text-anchor=\"middle\" x=\"1162\" y=\"-260.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 8</text>\n",
       "<text text-anchor=\"middle\" x=\"1162\" y=\"-245.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 7]</text>\n",
       "<text text-anchor=\"middle\" x=\"1162\" y=\"-230.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 60&#45;&gt;61 -->\n",
       "<g id=\"edge61\" class=\"edge\">\n",
       "<title>60&#45;&gt;61</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1234.1776,-341.8796C1225.6927,-332.7832 1216.6346,-323.0722 1207.9032,-313.7116\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1210.3686,-311.2233 1200.9881,-306.2981 1205.2497,-315.9981 1210.3686,-311.2233\"/>\n",
       "</g>\n",
       "<!-- 64 -->\n",
       "<g id=\"node65\" class=\"node\">\n",
       "<title>64</title>\n",
       "<path fill=\"#9cf2c0\" stroke=\"#000000\" d=\"M1420,-306C1420,-306 1272,-306 1272,-306 1266,-306 1260,-300 1260,-294 1260,-294 1260,-235 1260,-235 1260,-229 1266,-223 1272,-223 1272,-223 1420,-223 1420,-223 1426,-223 1432,-229 1432,-235 1432,-235 1432,-294 1432,-294 1432,-300 1426,-306 1420,-306\"/>\n",
       "<text text-anchor=\"middle\" x=\"1346\" y=\"-290.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.25</text>\n",
       "<text text-anchor=\"middle\" x=\"1346\" y=\"-275.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.444</text>\n",
       "<text text-anchor=\"middle\" x=\"1346\" y=\"-260.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 3</text>\n",
       "<text text-anchor=\"middle\" x=\"1346\" y=\"-245.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 2, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"1346\" y=\"-230.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 60&#45;&gt;64 -->\n",
       "<g id=\"edge64\" class=\"edge\">\n",
       "<title>60&#45;&gt;64</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1298.5319,-341.8796C1303.891,-333.1434 1309.5979,-323.8404 1315.1282,-314.8253\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1318.1135,-316.6522 1320.3592,-306.2981 1312.1467,-312.9919 1318.1135,-316.6522\"/>\n",
       "</g>\n",
       "<!-- 62 -->\n",
       "<g id=\"node63\" class=\"node\">\n",
       "<title>62</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M1086,-179.5C1086,-179.5 986,-179.5 986,-179.5 980,-179.5 974,-173.5 974,-167.5 974,-167.5 974,-123.5 974,-123.5 974,-117.5 980,-111.5 986,-111.5 986,-111.5 1086,-111.5 1086,-111.5 1092,-111.5 1098,-117.5 1098,-123.5 1098,-123.5 1098,-167.5 1098,-167.5 1098,-173.5 1092,-179.5 1086,-179.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1036\" y=\"-164.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"1036\" y=\"-149.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"1036\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"1036\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 61&#45;&gt;62 -->\n",
       "<g id=\"edge62\" class=\"edge\">\n",
       "<title>61&#45;&gt;62</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1117.9313,-222.8796C1105.5898,-211.2237 1092.1798,-198.5587 1079.851,-186.9148\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1082.0068,-184.1366 1072.3335,-179.8149 1077.2004,-189.2258 1082.0068,-184.1366\"/>\n",
       "</g>\n",
       "<!-- 63 -->\n",
       "<g id=\"node64\" class=\"node\">\n",
       "<title>63</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M1220,-179.5C1220,-179.5 1128,-179.5 1128,-179.5 1122,-179.5 1116,-173.5 1116,-167.5 1116,-167.5 1116,-123.5 1116,-123.5 1116,-117.5 1122,-111.5 1128,-111.5 1128,-111.5 1220,-111.5 1220,-111.5 1226,-111.5 1232,-117.5 1232,-123.5 1232,-123.5 1232,-167.5 1232,-167.5 1232,-173.5 1226,-179.5 1220,-179.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1174\" y=\"-164.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1174\" y=\"-149.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 6</text>\n",
       "<text text-anchor=\"middle\" x=\"1174\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 0, 6]</text>\n",
       "<text text-anchor=\"middle\" x=\"1174\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
       "</g>\n",
       "<!-- 61&#45;&gt;63 -->\n",
       "<g id=\"edge63\" class=\"edge\">\n",
       "<title>61&#45;&gt;63</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1166.197,-222.8796C1167.2726,-212.2134 1168.4334,-200.7021 1169.5225,-189.9015\"/>\n",
       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"1173.0186,-190.1157 1170.5397,-179.8149 1166.0539,-189.4133 1173.0186,-190.1157\"/>\n",
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       "<!-- 65 -->\n",
       "<g id=\"node66\" class=\"node\">\n",
       "<title>65</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M1385,-179.5C1385,-179.5 1285,-179.5 1285,-179.5 1279,-179.5 1273,-173.5 1273,-167.5 1273,-167.5 1273,-123.5 1273,-123.5 1273,-117.5 1279,-111.5 1285,-111.5 1285,-111.5 1385,-111.5 1385,-111.5 1391,-111.5 1397,-117.5 1397,-123.5 1397,-123.5 1397,-167.5 1397,-167.5 1397,-173.5 1391,-179.5 1385,-179.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1335\" y=\"-164.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1335\" y=\"-149.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
       "<text text-anchor=\"middle\" x=\"1335\" y=\"-134.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 0]</text>\n",
       "<text text-anchor=\"middle\" x=\"1335\" y=\"-119.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 64&#45;&gt;65 -->\n",
       "<g id=\"edge65\" class=\"edge\">\n",
       "<title>64&#45;&gt;65</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1342.1527,-222.8796C1341.1668,-212.2134 1340.1027,-200.7021 1339.1043,-189.9015\"/>\n",
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       "<!-- 66 -->\n",
       "<g id=\"node67\" class=\"node\">\n",
       "<title>66</title>\n",
       "<path fill=\"#ffffff\" stroke=\"#000000\" d=\"M1575,-187C1575,-187 1427,-187 1427,-187 1421,-187 1415,-181 1415,-175 1415,-175 1415,-116 1415,-116 1415,-110 1421,-104 1427,-104 1427,-104 1575,-104 1575,-104 1581,-104 1587,-110 1587,-116 1587,-116 1587,-175 1587,-175 1587,-181 1581,-187 1575,-187\"/>\n",
       "<text text-anchor=\"middle\" x=\"1501\" y=\"-171.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.35</text>\n",
       "<text text-anchor=\"middle\" x=\"1501\" y=\"-156.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"1501\" y=\"-141.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
       "<text text-anchor=\"middle\" x=\"1501\" y=\"-126.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 1]</text>\n",
       "<text text-anchor=\"middle\" x=\"1501\" y=\"-111.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
       "</g>\n",
       "<!-- 64&#45;&gt;66 -->\n",
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       "<title>64&#45;&gt;66</title>\n",
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       "<text text-anchor=\"middle\" x=\"1393\" y=\"-52.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
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       "<text text-anchor=\"middle\" x=\"1531\" y=\"-52.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
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       "<!-- 66&#45;&gt;68 -->\n",
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       "<text text-anchor=\"middle\" x=\"1638\" y=\"-521.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1638\" y=\"-506.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 2</text>\n",
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       "<text text-anchor=\"middle\" x=\"1638\" y=\"-476.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 71&#45;&gt;72 -->\n",
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       "<title>71&#45;&gt;72</title>\n",
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       "<!-- 73 -->\n",
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       "<title>73</title>\n",
       "<path fill=\"#eadefb\" stroke=\"#000000\" d=\"M1873.5,-544C1873.5,-544 1730.5,-544 1730.5,-544 1724.5,-544 1718.5,-538 1718.5,-532 1718.5,-532 1718.5,-473 1718.5,-473 1718.5,-467 1724.5,-461 1730.5,-461 1730.5,-461 1873.5,-461 1873.5,-461 1879.5,-461 1885.5,-467 1885.5,-473 1885.5,-473 1885.5,-532 1885.5,-532 1885.5,-538 1879.5,-544 1873.5,-544\"/>\n",
       "<text text-anchor=\"middle\" x=\"1802\" y=\"-528.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.65</text>\n",
       "<text text-anchor=\"middle\" x=\"1802\" y=\"-513.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.496</text>\n",
       "<text text-anchor=\"middle\" x=\"1802\" y=\"-498.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 11</text>\n",
       "<text text-anchor=\"middle\" x=\"1802\" y=\"-483.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 5, 6]</text>\n",
       "<text text-anchor=\"middle\" x=\"1802\" y=\"-468.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 71&#45;&gt;73 -->\n",
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       "<title>71&#45;&gt;73</title>\n",
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       "<!-- 74 -->\n",
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       "<title>74</title>\n",
       "<path fill=\"#8139e5\" stroke=\"#000000\" d=\"M1698,-417.5C1698,-417.5 1606,-417.5 1606,-417.5 1600,-417.5 1594,-411.5 1594,-405.5 1594,-405.5 1594,-361.5 1594,-361.5 1594,-355.5 1600,-349.5 1606,-349.5 1606,-349.5 1698,-349.5 1698,-349.5 1704,-349.5 1710,-355.5 1710,-361.5 1710,-361.5 1710,-405.5 1710,-405.5 1710,-411.5 1704,-417.5 1698,-417.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1652\" y=\"-402.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1652\" y=\"-387.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
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       "<text text-anchor=\"middle\" x=\"1652\" y=\"-357.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 73&#45;&gt;74 -->\n",
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       "<title>73&#45;&gt;74</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1749.5373,-460.8796C1734.5678,-449.0038 1718.2778,-436.0804 1703.3741,-424.2568\"/>\n",
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       "<title>75</title>\n",
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       "<text text-anchor=\"middle\" x=\"1808\" y=\"-409.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 2.9</text>\n",
       "<text text-anchor=\"middle\" x=\"1808\" y=\"-394.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.5</text>\n",
       "<text text-anchor=\"middle\" x=\"1808\" y=\"-379.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 10</text>\n",
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       "<text text-anchor=\"middle\" x=\"1808\" y=\"-349.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 73&#45;&gt;75 -->\n",
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       "<title>73&#45;&gt;75</title>\n",
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       "<!-- 76 -->\n",
       "<g id=\"node77\" class=\"node\">\n",
       "<title>76</title>\n",
       "<path fill=\"#39e581\" stroke=\"#000000\" d=\"M1751,-298.5C1751,-298.5 1651,-298.5 1651,-298.5 1645,-298.5 1639,-292.5 1639,-286.5 1639,-286.5 1639,-242.5 1639,-242.5 1639,-236.5 1645,-230.5 1651,-230.5 1651,-230.5 1751,-230.5 1751,-230.5 1757,-230.5 1763,-236.5 1763,-242.5 1763,-242.5 1763,-286.5 1763,-286.5 1763,-292.5 1757,-298.5 1751,-298.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1701\" y=\"-283.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.0</text>\n",
       "<text text-anchor=\"middle\" x=\"1701\" y=\"-268.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 1</text>\n",
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       "<text text-anchor=\"middle\" x=\"1701\" y=\"-238.3\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 75&#45;&gt;76 -->\n",
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       "<title>75&#45;&gt;76</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1770.5766,-341.8796C1760.2939,-330.4436 1749.1377,-318.0363 1738.8321,-306.575\"/>\n",
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       "<!-- 77 -->\n",
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       "<title>77</title>\n",
       "<path fill=\"#e6d7fa\" stroke=\"#000000\" d=\"M1941,-306C1941,-306 1793,-306 1793,-306 1787,-306 1781,-300 1781,-294 1781,-294 1781,-235 1781,-235 1781,-229 1787,-223 1793,-223 1793,-223 1941,-223 1941,-223 1947,-223 1953,-229 1953,-235 1953,-235 1953,-294 1953,-294 1953,-300 1947,-306 1941,-306\"/>\n",
       "<text text-anchor=\"middle\" x=\"1867\" y=\"-290.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal length (cm) &lt;= 6.75</text>\n",
       "<text text-anchor=\"middle\" x=\"1867\" y=\"-275.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.494</text>\n",
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       "<text text-anchor=\"middle\" x=\"1867\" y=\"-230.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<!-- 75&#45;&gt;77 -->\n",
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       "<title>75&#45;&gt;77</title>\n",
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       "<!-- 78 -->\n",
       "<g id=\"node79\" class=\"node\">\n",
       "<title>78</title>\n",
       "<path fill=\"#bdf6d5\" stroke=\"#000000\" d=\"M1890.5,-187C1890.5,-187 1747.5,-187 1747.5,-187 1741.5,-187 1735.5,-181 1735.5,-175 1735.5,-175 1735.5,-116 1735.5,-116 1735.5,-110 1741.5,-104 1747.5,-104 1747.5,-104 1890.5,-104 1890.5,-104 1896.5,-104 1902.5,-110 1902.5,-116 1902.5,-116 1902.5,-175 1902.5,-175 1902.5,-181 1896.5,-187 1890.5,-187\"/>\n",
       "<text text-anchor=\"middle\" x=\"1819\" y=\"-171.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 3.05</text>\n",
       "<text text-anchor=\"middle\" x=\"1819\" y=\"-156.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.48</text>\n",
       "<text text-anchor=\"middle\" x=\"1819\" y=\"-141.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 5</text>\n",
       "<text text-anchor=\"middle\" x=\"1819\" y=\"-126.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 3, 2]</text>\n",
       "<text text-anchor=\"middle\" x=\"1819\" y=\"-111.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = versicolor</text>\n",
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       "<!-- 77&#45;&gt;78 -->\n",
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       "<title>77&#45;&gt;78</title>\n",
       "<path fill=\"none\" stroke=\"#000000\" d=\"M1850.2119,-222.8796C1846.7971,-214.4136 1843.1675,-205.4153 1839.637,-196.6626\"/>\n",
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       "<title>81</title>\n",
       "<path fill=\"#ab7bee\" stroke=\"#000000\" d=\"M2075.5,-187C2075.5,-187 1932.5,-187 1932.5,-187 1926.5,-187 1920.5,-181 1920.5,-175 1920.5,-175 1920.5,-116 1920.5,-116 1920.5,-110 1926.5,-104 1932.5,-104 1932.5,-104 2075.5,-104 2075.5,-104 2081.5,-104 2087.5,-110 2087.5,-116 2087.5,-116 2087.5,-175 2087.5,-175 2087.5,-181 2081.5,-187 2075.5,-187\"/>\n",
       "<text text-anchor=\"middle\" x=\"2004\" y=\"-171.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">petal width (cm) &lt;= 3.05</text>\n",
       "<text text-anchor=\"middle\" x=\"2004\" y=\"-156.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">gini = 0.375</text>\n",
       "<text text-anchor=\"middle\" x=\"2004\" y=\"-141.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 4</text>\n",
       "<text text-anchor=\"middle\" x=\"2004\" y=\"-126.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">value = [0, 1, 3]</text>\n",
       "<text text-anchor=\"middle\" x=\"2004\" y=\"-111.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">class = virginica</text>\n",
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       "<title>79</title>\n",
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       "<title>78&#45;&gt;79</title>\n",
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       "<title>80</title>\n",
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       "<text text-anchor=\"middle\" x=\"1837\" y=\"-37.8\" font-family=\"Helvetica,sans-Serif\" font-size=\"14.00\" fill=\"#000000\">samples = 3</text>\n",
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      ],
      "text/plain": [
       "<graphviz.files.Source at 0x1a15d7d3d0>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph = graphviz.Source(dot_data)\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modelling End-to-End with Decision Tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_moons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_data, y_data = make_moons(n_samples=1000, noise=0.5, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "cl1 = tree.DecisionTreeClassifier(random_state=42)\n",
    "cl2 = tree.DecisionTreeClassifier(min_samples_leaf=10, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(X_data, y_data, test_size=0.1, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import GridSearchCV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "#params = {'max_leaf_nodes': list(range(2, 50)),\n",
    "#          'min_samples_split': [2, 3, 4],\n",
    "#          'min_samples_leaf': list(range(5, 20))}\n",
    "\n",
    "params ={'min_samples_leaf': list(range(5, 20))}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting 3 folds for each of 15 candidates, totalling 45 fits\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/anthonyn/anaconda3/envs/ml_python_2019/lib/python3.7/site-packages/sklearn/model_selection/_split.py:1978: FutureWarning: The default value of cv will change from 3 to 5 in version 0.22. Specify it explicitly to silence this warning.\n",
      "  warnings.warn(CV_WARNING, FutureWarning)\n",
      "[Parallel(n_jobs=-1)]: Using backend LokyBackend with 4 concurrent workers.\n",
      "[Parallel(n_jobs=-1)]: Done  38 out of  45 | elapsed:    3.0s remaining:    0.6s\n",
      "[Parallel(n_jobs=-1)]: Done  45 out of  45 | elapsed:    3.0s finished\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "GridSearchCV(cv='warn', error_score='raise-deprecating',\n",
       "             estimator=DecisionTreeClassifier(class_weight=None,\n",
       "                                              criterion='gini', max_depth=None,\n",
       "                                              max_features=None,\n",
       "                                              max_leaf_nodes=None,\n",
       "                                              min_impurity_decrease=0.0,\n",
       "                                              min_impurity_split=None,\n",
       "                                              min_samples_leaf=1,\n",
       "                                              min_samples_split=2,\n",
       "                                              min_weight_fraction_leaf=0.0,\n",
       "                                              presort=False, random_state=42,\n",
       "                                              splitter='best'),\n",
       "             iid='warn', n_jobs=-1,\n",
       "             param_grid={'min_samples_leaf': [5, 6, 7, 8, 9, 10, 11, 12, 13, 14,\n",
       "                                              15, 16, 17, 18, 19]},\n",
       "             pre_dispatch='2*n_jobs', refit=True, return_train_score=False,\n",
       "             scoring=None, verbose=1)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid_search_cv = GridSearchCV(tree.DecisionTreeClassifier(random_state=42), params, n_jobs=-1, verbose=1)\n",
    "\n",
    "grid_search_cv.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeClassifier(class_weight=None, criterion='gini', max_depth=None,\n",
       "                       max_features=None, max_leaf_nodes=None,\n",
       "                       min_impurity_decrease=0.0, min_impurity_split=None,\n",
       "                       min_samples_leaf=19, min_samples_split=2,\n",
       "                       min_weight_fraction_leaf=0.0, presort=False,\n",
       "                       random_state=42, splitter='best')"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid_search_cv.best_estimator_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import accuracy_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.83"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = grid_search_cv.predict(X_test)\n",
    "accuracy_score(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.74"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cl1.fit(X_train, y_train)\n",
    "y_pred = cl1.predict(X_test)\n",
    "accuracy_score(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'class_weight': None,\n",
       " 'criterion': 'gini',\n",
       " 'max_depth': None,\n",
       " 'max_features': None,\n",
       " 'max_leaf_nodes': None,\n",
       " 'min_impurity_decrease': 0.0,\n",
       " 'min_impurity_split': None,\n",
       " 'min_samples_leaf': 1,\n",
       " 'min_samples_split': 2,\n",
       " 'min_weight_fraction_leaf': 0.0,\n",
       " 'presort': False,\n",
       " 'random_state': 42,\n",
       " 'splitter': 'best'}"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cl1.get_params()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Where to From Here\n",
    "\n",
    "\n",
    "## Tips on practical use\n",
    "\n",
    "* Decision trees tend to overfit on data with a large number of features. Check ratio of samples to number of features\n",
    "\n",
    "* Consider performing dimensionality reduction (PCA, ICA, or Feature selection) beforehand\n",
    "\n",
    "* Visualise your tree as you are training by using the export function. Use max_depth=3 as an initial tree depth.\n",
    "\n",
    "* Use max_depth to control the size of the tree to prevent overfitting.\n",
    "\n",
    "* Tune `min_samples_split` or `min_samples_leaf` to control the number of samples at a leaf node. \n",
    "\n",
    "* Balance your dataset before training to prevent the tree from being biased toward the classes that are dominant. \n",
    "\n",
    "  * By sampling an equal number of samples from each class\n",
    "  \n",
    "  * By normalizing the sum of the sample weights (sample_weight) for each class to the same value. \n"
   ]
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   "source": [
    "# References:\n",
    "1. [Wikipedia - Decision Tree Learning](https://en.wikipedia.org/wiki/Decision_tree_learning)\n",
    "2. [Decision Tree - Classification](http://www.saedsayad.com/decision_tree.htm)\n",
    "3. [Data Aspirant](http://dataaspirant.com/2017/01/30/how-decision-tree-algorithm-works/)\n",
    "4. [Scikit-learn](http://scikit-learn.org/stable/modules/tree.html)\n",
    "5. https://en.wikipedia.org/wiki/Predictive_analytics\n",
    "6. L. Breiman, J. Friedman, R. Olshen, and C. Stone. Classification and Regression Trees. Wadsworth, Belmont, CA, 1984.\n",
    "7. J.R. Quinlan. C4. 5: programs for machine learning. Morgan Kaufmann, 1993.\n",
    "8. T. Hastie, R. Tibshirani and J. Friedman. Elements of Statistical Learning, Springer, 2009.\n",
    "\n",
    "\n"
   ]
  },
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   "metadata": {},
   "source": [
    "***"
   ]
  }
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