examples/CausalDataGenerator_discrete.ipynb

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   "source": [
    "# Introduction\n",
    "\n",
    "CausalDataGenerator is a software that learns causal relationships based on a given data and causal relationships. This notebook discusses the case of working with data containing discrete variables.\n",
    "\n",
    "## Import and settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fa75d547-31cf-4451-9d55-63c6fa4fdb0b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['1.23.4', '1.5.0', '0.19.1', '1.7.1']\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats as st\n",
    "from scipy.special import expit\n",
    "from sklearn.preprocessing import OneHotEncoder, StandardScaler\n",
    "from sklearn.compose import ColumnTransformer\n",
    "from sklearn.neural_network import MLPRegressor\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "import matplotlib.pyplot as plt\n",
    "import graphviz as gv\n",
    "from IPython.display import Markdown\n",
    "import lingam\n",
    "\n",
    "print([np.__version__, pd.__version__, gv.__version__, lingam.__version__])\n",
    "\n",
    "np.set_printoptions(precision=3, suppress=True)\n",
    "np.random.seed(100)\n",
    "\n",
    "from lingam.experimental.cdg import CausalDataGenerator\n",
    "    \n",
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf14aee4-0f7f-470d-96a0-914bc2b1e2ac",
   "metadata": {},
   "source": [
    "# Creating test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "053f10c9-4d30-4e2e-9388-e7394f6123aa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "## Causal graph"
      ],
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      "text/markdown": [
       "## Scatter matrix"
      ],
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\n",
      "text/plain": [
       "<Figure size 864x864 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000\n",
    "\n",
    "x3 = np.random.choice([\"a\", \"b\"], size=N)\n",
    "x4 = np.random.uniform(size=N)\n",
    "x1 = np.empty(N, dtype=str)\n",
    "for i, (x3_, x4_) in enumerate(zip(x3, x4)):\n",
    "    p = 1.5 * x4_\n",
    "    p += -2 if x3_ == \"a\" else 0.5\n",
    "    p += np.random.uniform()\n",
    "    x1[i] = \"c\" if expit(p) > 0.5 else \"d\"\n",
    "x2 = np.random.uniform(size=N)\n",
    "for i, (x1_, x3_, x4_) in enumerate(zip(x1, x3, x4)):\n",
    "    if x3_ == \"a\" and x1_ == \"c\":\n",
    "        x2[i] += 2 * x4_\n",
    "    elif x3_ == \"a\" and x1_ == \"d\":\n",
    "        x2[i] += -2 * x4_\n",
    "    elif x3_ == \"b\" and x1_ == \"c\":\n",
    "        x2[i] += 0.5 * x4_\n",
    "    elif x3_ == \"b\" and x1_ == \"d\":\n",
    "        x2[i] += -0.5 * x4_\n",
    "X = pd.DataFrame({\"x1\": x1, \"x2\": x2, \"x3\": x3, \"x4\": x4})\n",
    "X[\"x1\"] = pd.Categorical(X[\"x1\"])\n",
    "X[\"x3\"] = pd.Categorical(X[\"x3\"])\n",
    "\n",
    "display(Markdown(\"## Causal graph\"))\n",
    "graph = gv.Digraph()\n",
    "graph.edges([(\"x3\", \"x1\"), (\"x4\", \"x1\"), (\"x3\", \"x2\"), (\"x4\", \"x2\"), (\"x1\", \"x2\")])\n",
    "display(graph)\n",
    "\n",
    "def draw_histogram(df, s=3, suptitle=None):\n",
    "    fig, axes = plt.subplots(1, df.shape[1], figsize=(df.shape[1] * s, s))\n",
    "    \n",
    "    for i in range(df.shape[1]):\n",
    "        if df.iloc[:, i].dtype == \"category\":\n",
    "            axes[i].bar(*np.unique(df.iloc[:, i], return_counts=True), width=0.5)\n",
    "        else:\n",
    "            axes[i].hist(df.iloc[:, i])\n",
    "        axes[i].set_xlabel(df.columns[i])\n",
    "        \n",
    "    if suptitle is not None:\n",
    "        plt.suptitle(suptitle)\n",
    "        \n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "def draw_scatter_matrix(true, pred, s=3, supxlabel=\"\", supylabel=\"\", diagonal_hist=True):\n",
    "    n_cols = true.shape[1]\n",
    "    \n",
    "    fig, axes = plt.subplots(n_cols, n_cols, figsize=(n_cols * s, n_cols * s))\n",
    "    \n",
    "    for i, c in enumerate(true.columns):\n",
    "        for j, c2 in enumerate(true.columns):\n",
    "            if i == j and diagonal_hist is True:\n",
    "                if true[c].dtype == \"category\":\n",
    "                    axes[i, j].bar(*np.unique(true[c], return_counts=True), width=0.5)\n",
    "                else:\n",
    "                    axes[i, j].hist(true[c])\n",
    "            else:\n",
    "                axes[i, j].scatter(true[c], pred[c2], alpha=0.3, s=3)\n",
    "                axes[i, j].axis(\"equal\")\n",
    "            \n",
    "            if i == 0:\n",
    "                axes[i, j].set_xlabel(c2)    \n",
    "                axes[i, j].xaxis.set_label_position(\"top\") \n",
    "            if j == 0:\n",
    "                axes[i, j].set_ylabel(c)\n",
    "\n",
    "    fig.supxlabel(supxlabel, va=\"top\")\n",
    "    fig.supylabel(supylabel)\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "display(Markdown(\"## Scatter matrix\"))\n",
    "draw_scatter_matrix(X, X)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "400eb009-c0a1-4b47-acfb-7dfb7c8aea24",
   "metadata": {},
   "source": [
    "# Fitting models to the data based on the given causal roles\n",
    "\n",
    "For the data created, x1 has the causal role of \"cause\", x2 has the role of \"effect\", and x3 and x4 have the role of \"adjustment\". Run fit() with data and causal roles to estimate the \"cause\" and \"effect\" models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "100a91f2-88e8-4e1c-84ab-c82f44b1f3b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<lingam.experimental.cdg.CausalDataGenerator at 0x7fdd28db0ee0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gen = CausalDataGenerator()\n",
    "gen.fit(X, \"x1\", \"x2\", adjustments=[\"x3\", \"x4\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f4cf883-f210-4769-b37f-2534144669b0",
   "metadata": {},
   "source": [
    "By default, the \"cause\" and \"effect\" models use linear regression when the objective variable is a continuous variable and logistic regression when it is a discrete variable.\n",
    "\n",
    "If the explanatory variable contains discrete variables, CausalDataGenerator uses OneHotEncoding and ColumnTransformer by default.　If you want to use a particular column as a categorical variable, you must use pd.Categorical for that column."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "026f4fb3-8c7a-4026-8f57-973877787abd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Pipeline(steps=[(&#x27;transformer&#x27;,\n",
       "                 ColumnTransformer(transformers=[(&#x27;categorical&#x27;,\n",
       "                                                  OneHotEncoder(sparse_output=False),\n",
       "                                                  Index([&#x27;x3&#x27;], dtype=&#x27;object&#x27;)),\n",
       "                                                 (&#x27;numeric&#x27;, &#x27;passthrough&#x27;,\n",
       "                                                  Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;))])),\n",
       "                (&#x27;estimator&#x27;, LogisticRegression())])</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" ><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Pipeline</label><div class=\"sk-toggleable__content\"><pre>Pipeline(steps=[(&#x27;transformer&#x27;,\n",
       "                 ColumnTransformer(transformers=[(&#x27;categorical&#x27;,\n",
       "                                                  OneHotEncoder(sparse_output=False),\n",
       "                                                  Index([&#x27;x3&#x27;], dtype=&#x27;object&#x27;)),\n",
       "                                                 (&#x27;numeric&#x27;, &#x27;passthrough&#x27;,\n",
       "                                                  Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;))])),\n",
       "                (&#x27;estimator&#x27;, LogisticRegression())])</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" ><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">transformer: ColumnTransformer</label><div class=\"sk-toggleable__content\"><pre>ColumnTransformer(transformers=[(&#x27;categorical&#x27;, OneHotEncoder(sparse_output=False),\n",
       "                                 Index([&#x27;x3&#x27;], dtype=&#x27;object&#x27;)),\n",
       "                                (&#x27;numeric&#x27;, &#x27;passthrough&#x27;,\n",
       "                                 Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;))])</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" ><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">categorical</label><div class=\"sk-toggleable__content\"><pre>Index([&#x27;x3&#x27;], dtype=&#x27;object&#x27;)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-4\" type=\"checkbox\" ><label for=\"sk-estimator-id-4\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">OneHotEncoder</label><div class=\"sk-toggleable__content\"><pre>OneHotEncoder(sparse_output=False)</pre></div></div></div></div></div></div><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-5\" type=\"checkbox\" ><label for=\"sk-estimator-id-5\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">numeric</label><div class=\"sk-toggleable__content\"><pre>Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-6\" type=\"checkbox\" ><label for=\"sk-estimator-id-6\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">passthrough</label><div class=\"sk-toggleable__content\"><pre>passthrough</pre></div></div></div></div></div></div></div></div><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-7\" type=\"checkbox\" ><label for=\"sk-estimator-id-7\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LogisticRegression</label><div class=\"sk-toggleable__content\"><pre>LogisticRegression()</pre></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "Pipeline(steps=[('transformer',\n",
       "                 ColumnTransformer(transformers=[('categorical',\n",
       "                                                  OneHotEncoder(sparse_output=False),\n",
       "                                                  Index(['x3'], dtype='object')),\n",
       "                                                 ('numeric', 'passthrough',\n",
       "                                                  Index(['x4'], dtype='object'))])),\n",
       "                ('estimator', LogisticRegression())])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gen.model_cause_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8819836f-558c-42fa-92a5-312074f2b09a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-2 {color: black;background-color: white;}#sk-container-id-2 pre{padding: 0;}#sk-container-id-2 div.sk-toggleable {background-color: white;}#sk-container-id-2 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-2 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-2 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-2 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-2 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-2 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-2 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-2 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-2 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-2 div.sk-item {position: relative;z-index: 1;}#sk-container-id-2 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-2 div.sk-item::before, #sk-container-id-2 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-2 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-2 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-2 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-2 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-2 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-2 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-2 div.sk-label-container {text-align: center;}#sk-container-id-2 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-2 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Pipeline(steps=[(&#x27;transformer&#x27;,\n",
       "                 ColumnTransformer(transformers=[(&#x27;categorical&#x27;,\n",
       "                                                  OneHotEncoder(sparse_output=False),\n",
       "                                                  Index([&#x27;x1&#x27;, &#x27;x3&#x27;], dtype=&#x27;object&#x27;)),\n",
       "                                                 (&#x27;numeric&#x27;, &#x27;passthrough&#x27;,\n",
       "                                                  Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;))])),\n",
       "                (&#x27;estimator&#x27;, LinearRegression())])</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-8\" type=\"checkbox\" ><label for=\"sk-estimator-id-8\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Pipeline</label><div class=\"sk-toggleable__content\"><pre>Pipeline(steps=[(&#x27;transformer&#x27;,\n",
       "                 ColumnTransformer(transformers=[(&#x27;categorical&#x27;,\n",
       "                                                  OneHotEncoder(sparse_output=False),\n",
       "                                                  Index([&#x27;x1&#x27;, &#x27;x3&#x27;], dtype=&#x27;object&#x27;)),\n",
       "                                                 (&#x27;numeric&#x27;, &#x27;passthrough&#x27;,\n",
       "                                                  Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;))])),\n",
       "                (&#x27;estimator&#x27;, LinearRegression())])</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-9\" type=\"checkbox\" ><label for=\"sk-estimator-id-9\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">transformer: ColumnTransformer</label><div class=\"sk-toggleable__content\"><pre>ColumnTransformer(transformers=[(&#x27;categorical&#x27;, OneHotEncoder(sparse_output=False),\n",
       "                                 Index([&#x27;x1&#x27;, &#x27;x3&#x27;], dtype=&#x27;object&#x27;)),\n",
       "                                (&#x27;numeric&#x27;, &#x27;passthrough&#x27;,\n",
       "                                 Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;))])</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-10\" type=\"checkbox\" ><label for=\"sk-estimator-id-10\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">categorical</label><div class=\"sk-toggleable__content\"><pre>Index([&#x27;x1&#x27;, &#x27;x3&#x27;], dtype=&#x27;object&#x27;)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-11\" type=\"checkbox\" ><label for=\"sk-estimator-id-11\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">OneHotEncoder</label><div class=\"sk-toggleable__content\"><pre>OneHotEncoder(sparse_output=False)</pre></div></div></div></div></div></div><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-12\" type=\"checkbox\" ><label for=\"sk-estimator-id-12\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">numeric</label><div class=\"sk-toggleable__content\"><pre>Index([&#x27;x4&#x27;], dtype=&#x27;object&#x27;)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-13\" type=\"checkbox\" ><label for=\"sk-estimator-id-13\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">passthrough</label><div class=\"sk-toggleable__content\"><pre>passthrough</pre></div></div></div></div></div></div></div></div><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-14\" type=\"checkbox\" ><label for=\"sk-estimator-id-14\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearRegression</label><div class=\"sk-toggleable__content\"><pre>LinearRegression()</pre></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "Pipeline(steps=[('transformer',\n",
       "                 ColumnTransformer(transformers=[('categorical',\n",
       "                                                  OneHotEncoder(sparse_output=False),\n",
       "                                                  Index(['x1', 'x3'], dtype='object')),\n",
       "                                                 ('numeric', 'passthrough',\n",
       "                                                  Index(['x4'], dtype='object'))])),\n",
       "                ('estimator', LinearRegression())])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gen.model_effect_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46f0e12a-2ba3-4b83-b166-cde9efc6901c",
   "metadata": {},
   "source": [
    "Because \"cause\" is a categorical variable, it has no error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a7e1dbce-798e-477c-adc3-e630baa0533e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0     NaN\n",
       "1     NaN\n",
       "2     NaN\n",
       "3     NaN\n",
       "4     NaN\n",
       "       ..\n",
       "995   NaN\n",
       "996   NaN\n",
       "997   NaN\n",
       "998   NaN\n",
       "999   NaN\n",
       "Name: x1, Length: 1000, dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gen.error_cause_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "60daf5a2-adec-4d3e-84c0-f1acb410b986",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0      0.591402\n",
       "1     -0.424107\n",
       "2      0.273843\n",
       "3     -0.218439\n",
       "4      0.249809\n",
       "         ...   \n",
       "995    0.697283\n",
       "996    0.359850\n",
       "997    0.206405\n",
       "998   -0.673234\n",
       "999    0.392625\n",
       "Name: x2, Length: 1000, dtype: float64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gen.error_effect_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "977eeea1-4ec2-4df5-a408-c00991afab8f",
   "metadata": {},
   "source": [
    "## Change the model for fit()\n",
    "\n",
    "You can change the model used by fit() from the default machine learning model by specifying a scikit-learn machine learning model in the `model_effect_` or `model_cause_` arguments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ab152719-194f-4624-ae59-1cb41e94cfe2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-3 {color: black;background-color: white;}#sk-container-id-3 pre{padding: 0;}#sk-container-id-3 div.sk-toggleable {background-color: white;}#sk-container-id-3 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-3 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-3 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-3 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-3 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-3 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-3 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-3 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-3 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-3 div.sk-item {position: relative;z-index: 1;}#sk-container-id-3 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-3 div.sk-item::before, #sk-container-id-3 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-3 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-3 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-3 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-3 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-3 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-3 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-3 div.sk-label-container {text-align: center;}#sk-container-id-3 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-3 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>GridSearchCV(estimator=Pipeline(steps=[(&#x27;transformer&#x27;,\n",
       "                                        ColumnTransformer(transformers=[(&#x27;categorical&#x27;,\n",
       "                                                                         OneHotEncoder(sparse_output=False),\n",
       "                                                                         [&#x27;x1&#x27;,\n",
       "                                                                          &#x27;x3&#x27;]),\n",
       "                                                                        (&#x27;numeric&#x27;,\n",
       "                                                                         StandardScaler(),\n",
       "                                                                         [&#x27;x4&#x27;])])),\n",
       "                                       (&#x27;estimator&#x27;,\n",
       "                                        MLPRegressor(max_iter=500))]),\n",
       "             param_grid={&#x27;estimator__hidden_layer_sizes&#x27;: [(10, 10),\n",
       "                                                           (10, 10, 10)]})</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-15\" type=\"checkbox\" ><label for=\"sk-estimator-id-15\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">GridSearchCV</label><div class=\"sk-toggleable__content\"><pre>GridSearchCV(estimator=Pipeline(steps=[(&#x27;transformer&#x27;,\n",
       "                                        ColumnTransformer(transformers=[(&#x27;categorical&#x27;,\n",
       "                                                                         OneHotEncoder(sparse_output=False),\n",
       "                                                                         [&#x27;x1&#x27;,\n",
       "                                                                          &#x27;x3&#x27;]),\n",
       "                                                                        (&#x27;numeric&#x27;,\n",
       "                                                                         StandardScaler(),\n",
       "                                                                         [&#x27;x4&#x27;])])),\n",
       "                                       (&#x27;estimator&#x27;,\n",
       "                                        MLPRegressor(max_iter=500))]),\n",
       "             param_grid={&#x27;estimator__hidden_layer_sizes&#x27;: [(10, 10),\n",
       "                                                           (10, 10, 10)]})</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-16\" type=\"checkbox\" ><label for=\"sk-estimator-id-16\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">estimator: Pipeline</label><div class=\"sk-toggleable__content\"><pre>Pipeline(steps=[(&#x27;transformer&#x27;,\n",
       "                 ColumnTransformer(transformers=[(&#x27;categorical&#x27;,\n",
       "                                                  OneHotEncoder(sparse_output=False),\n",
       "                                                  [&#x27;x1&#x27;, &#x27;x3&#x27;]),\n",
       "                                                 (&#x27;numeric&#x27;, StandardScaler(),\n",
       "                                                  [&#x27;x4&#x27;])])),\n",
       "                (&#x27;estimator&#x27;, MLPRegressor(max_iter=500))])</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-serial\"><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-17\" type=\"checkbox\" ><label for=\"sk-estimator-id-17\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">transformer: ColumnTransformer</label><div class=\"sk-toggleable__content\"><pre>ColumnTransformer(transformers=[(&#x27;categorical&#x27;, OneHotEncoder(sparse_output=False),\n",
       "                                 [&#x27;x1&#x27;, &#x27;x3&#x27;]),\n",
       "                                (&#x27;numeric&#x27;, StandardScaler(), [&#x27;x4&#x27;])])</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-18\" type=\"checkbox\" ><label for=\"sk-estimator-id-18\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">categorical</label><div class=\"sk-toggleable__content\"><pre>[&#x27;x1&#x27;, &#x27;x3&#x27;]</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-19\" type=\"checkbox\" ><label for=\"sk-estimator-id-19\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">OneHotEncoder</label><div class=\"sk-toggleable__content\"><pre>OneHotEncoder(sparse_output=False)</pre></div></div></div></div></div></div><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-20\" type=\"checkbox\" ><label for=\"sk-estimator-id-20\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">numeric</label><div class=\"sk-toggleable__content\"><pre>[&#x27;x4&#x27;]</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-21\" type=\"checkbox\" ><label for=\"sk-estimator-id-21\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">StandardScaler</label><div class=\"sk-toggleable__content\"><pre>StandardScaler()</pre></div></div></div></div></div></div></div></div><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-22\" type=\"checkbox\" ><label for=\"sk-estimator-id-22\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">MLPRegressor</label><div class=\"sk-toggleable__content\"><pre>MLPRegressor(max_iter=500)</pre></div></div></div></div></div></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "GridSearchCV(estimator=Pipeline(steps=[('transformer',\n",
       "                                        ColumnTransformer(transformers=[('categorical',\n",
       "                                                                         OneHotEncoder(sparse_output=False),\n",
       "                                                                         ['x1',\n",
       "                                                                          'x3']),\n",
       "                                                                        ('numeric',\n",
       "                                                                         StandardScaler(),\n",
       "                                                                         ['x4'])])),\n",
       "                                       ('estimator',\n",
       "                                        MLPRegressor(max_iter=500))]),\n",
       "             param_grid={'estimator__hidden_layer_sizes': [(10, 10),\n",
       "                                                           (10, 10, 10)]})"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformers = [\n",
    "    (\"categorical\", OneHotEncoder(sparse_output=False), [\"x1\", \"x3\"]),\n",
    "    (\"numeric\", StandardScaler(), [\"x4\"]),\n",
    "]\n",
    "transformer = ColumnTransformer(transformers=transformers)\n",
    "\n",
    "model = Pipeline([\n",
    "    (\"transformer\", transformer),\n",
    "    (\"estimator\", MLPRegressor(max_iter=500))\n",
    "])\n",
    "\n",
    "param_grid = {\n",
    "    \"estimator__hidden_layer_sizes\": [(10, 10), (10, 10, 10)],\n",
    "}\n",
    "model_effect = GridSearchCV(model, param_grid)\n",
    "\n",
    "gen2 = CausalDataGenerator()\n",
    "gen2.fit(X, \"x1\", \"x2\", adjustments=[\"x3\", \"x4\"], model_effect=model_effect)\n",
    "\n",
    "gen2.model_effect_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "acbc3b73-69ce-465c-8a02-a4edbc0098b9",
   "metadata": {},
   "source": [
    "# Data Generation\n",
    "CausalDataGenerator can generate data using the result of fit()."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d8de5452-ca4e-46d8-8a89-9f77642c16ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x1</th>\n",
       "      <th>x2</th>\n",
       "      <th>x3</th>\n",
       "      <th>x4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>d</td>\n",
       "      <td>0.230562</td>\n",
       "      <td>a</td>\n",
       "      <td>0.310381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>c</td>\n",
       "      <td>0.422085</td>\n",
       "      <td>b</td>\n",
       "      <td>0.373035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>c</td>\n",
       "      <td>1.020669</td>\n",
       "      <td>b</td>\n",
       "      <td>0.524970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>d</td>\n",
       "      <td>-0.867365</td>\n",
       "      <td>a</td>\n",
       "      <td>0.750595</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>c</td>\n",
       "      <td>1.121880</td>\n",
       "      <td>b</td>\n",
       "      <td>0.333507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>995</th>\n",
       "      <td>d</td>\n",
       "      <td>0.519548</td>\n",
       "      <td>a</td>\n",
       "      <td>0.030427</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>996</th>\n",
       "      <td>d</td>\n",
       "      <td>0.075427</td>\n",
       "      <td>a</td>\n",
       "      <td>0.193623</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>997</th>\n",
       "      <td>d</td>\n",
       "      <td>-0.024796</td>\n",
       "      <td>a</td>\n",
       "      <td>0.112250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>998</th>\n",
       "      <td>c</td>\n",
       "      <td>0.389266</td>\n",
       "      <td>b</td>\n",
       "      <td>0.042364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>999</th>\n",
       "      <td>d</td>\n",
       "      <td>0.085984</td>\n",
       "      <td>a</td>\n",
       "      <td>0.227741</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1000 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    x1        x2 x3        x4\n",
       "0    d  0.230562  a  0.310381\n",
       "1    c  0.422085  b  0.373035\n",
       "2    c  1.020669  b  0.524970\n",
       "3    d -0.867365  a  0.750595\n",
       "4    c  1.121880  b  0.333507\n",
       "..  ..       ... ..       ...\n",
       "995  d  0.519548  a  0.030427\n",
       "996  d  0.075427  a  0.193623\n",
       "997  d -0.024796  a  0.112250\n",
       "998  c  0.389266  b  0.042364\n",
       "999  d  0.085984  a  0.227741\n",
       "\n",
       "[1000 rows x 4 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = gen.generate()\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ce5376e9-fcc9-424b-9e50-cc1460bd1560",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7j3O8RUlWJFmxatXYQ0mStHEmWpKkWaGq/gzYHdgbOIROQtVtHnA/cC8bJla7NmVjj7e4qkaqamTevHnTE7QkadYy0ZIkDbQkeyU5GqCq/h/wfTrjtG5NclCzzYHA7VX1CHAJcFxTvgudxOy6fsQuSZq95vQ7AEmSttD3gDckORlYDfwH8LfAF4GlSU4D1gLHNtufCSxJciMQ4KSqWtv7sCVJs9mUEq0kpwCvALYDvgOcQKerxWI6g47XAUdX1Z3NQONzgD2BbYFTquqq9kOXJAmqajVw/DirfgEcMM7264AjpzsuSdJwm7TroNPmSpIkSdKmmTTRctpcqV1JXpXkwiQ/7irbP8kdzUNVR5N8vClPkg8kuTHJyiR/1r/IJUmSNFVTHqPVTJv7UjqtVw/RwrS5wCKA+fPnb0rM0qBbBZwI3NZV9gzg/VW1eMy2/wt4Np3B+k8EbkhydVXd3ZNIJUmStFmmPOug0+ZK7aiqa6rq/jHFC4D9k/xzkiuT7NWUHwosro6fAV8ADu5dtJIkSdocUxmj5bS50vS7A/hSVR0AvAX4fJKtmGILMfhwVUlSbySZn+RLSa5O8rUkv5vkeUmuSXJDkmVJntLvOKV+m0rXQafNlaZZVX266/2/JXkY+G+M30J85wTHWExnJlBGRkZq+qKVJA25c4C3VNX3k8wDHgW+CbymqlYmORF4D3ByP4OU+m3SRMtpc6Xpl+T1wI1VdUuS3YG5dFqvLgFeB1yVZHvgT+mMlZQkqeeS7EqnZ9OiJC8AbqUzCdqDVbWy2eyTwHcx0dKQm/IYLUnT6ibg7CTXAf8AHFVVvwQuBv4zyQrgGuCDToQhSeqj+cDzgb+vqv2AB4DT6erm3tx0f8zNfLu4a9hMedZBSe2qql273v8LsN842xTwl72MS5KkjXgIuKWqbmmWPw/8Hl3d3Jvnp64bu6Nd3DVsbNGSJEnSVP0A2D7Js5rllwE3AzskWdiUHQlc0Y/gpJnEFi1JkiRNSVU9muS1wHlJHk+ny+DrgIuaskeBnwJH9zFMaUYw0ZIkSdKUNd0GXzKmeCXwwt5HI81cdh2UJEmSpJbZoiVJPbbg1Mu2aP87PnhIS5FIkqTpYouWJEmSJLXMREuSJEmSWmaiJUmSJEktM9GSJEmSpJaZaEmSJElSy0y0JEkDL8kRSZYn+UaSC5Nsn+R5Sa5JckOSZUme0mw7N8nFSa5PcmOSvfocviRpFjLRkiQNtCQ7AqcAL6mq/YA7gdcDnwPeXFV7A1cA72l2OR0Yrap9mu0+3fuoJUmznYmWJGmgVdUDwL5VtbopmgOsAR6sqpVN2SeB9Q8gO7hZpqpuAX6e5Fm9i1iSNAxMtCRJA6+q1iTZNskZwHbAbcA9XevX0UnAAOZ0JWUAdwM79yxYSdJQmDP5JpI0syw49bJ+h6AZJsnTgfOAM6vqiqaFaueu9dsA65rF1Um2qaq1zfKuwL3jHHMRsAhg/vz50xm+JGkWmlKileQI4C3AL+nc+TsGeDZwJrANsAo4qqoeTDIXWAI8DdgKOL6r64YkmSipVUm2BZYCx1bVTwCq6odJdkiysKpuA46kM04L4FLgWODcJHsCT6yqH409blUtBhYDjIyM1PT/TyRJs8mkiVbXIOP9qmp1ktPpDB4+AXhNVa1MciKdQcYn85tBxh9L8rvAZ4DnT9v/QBowSV4FHAHsXVXzm7L5dL7QPYnOXfejq+rOJFsD5wB7AtsCp1TVVf2JXJqxDqRTR85Psr7sajo3Bc9L8ijwU+DoZt1pwGeSHA0U8NqeRitJGgqTJlpV9UCSfatqTdc+4w0y/i6dROtg4E3Nvrck+XmSZ1XVD1uPXhpMq4AT6YwhWW8JnS5Py5IcDJwFHAa8DXioqvZJshsw2tyhX/uYo0pDqqouBXabYPULx9n+QeDwaQ1KkjT0pjQZxnQMMk6yKMmKJCtWrVq12f8BadBU1TVVdf/65STbA3tU1bJm/eXAwqY161DgE035XcByYN/eRy1J0m8kOS3JaPN+3GfWScNuSolWM8j4i8CVVXUCnSRro4OMu3Yfd5BxVS2uqpGqGpk3b97mxi/NBnPptHJ1uw/YqXnd01U+4exo3ryQJPVCkhHgGc37MPEz66ShNmmi1TXIeFFVXQGdQcbADkkWNpuNN8iYjQ0ylvRr99NJqLrNa8rvZcPEatwbF+DNC0nS9EuyHfB3wKlN0XOY+Jl10lCbyqyDDjKWplFVrUtya5KDqurKJAcCt1fVI0kuAY4DTk2yC7A3zXTTkiT1wenAGVV1X/O9cIOeF81n2rjfL31kgobNVCbDcJCxNP1OApYmOQ1YS9MqTOcRCkuS3AgEOMmJMCRJ/ZDkZcBTquoLXcUb9LwYM5xkAz4yQcPGBxZLfVJVu3a9vxM4YJxt1tHpmitJUr8dCsxL8qVmeSHwLprhJOM8s04aaiZakiRJmlRVndy9nGS0qo5KshfjDyeRhpqJliRJkjZZVe3f/LuScYaTSMNuStO7S5IkSZKmzkRLkiRJklpm10FJm2zBqZf1OwRJkqQZzRYtSZIkSWqZiZYkSZIktcxES5IkSZJaZqIlSZIkSS0z0ZIkSZKklploSZIkSVLLTLQkSZIkqWUmWpIkSZLUMhMtSdJAS/KqJBcm+XFX2fwkVya5Pslokt2b8q2TLGnKb05yYP8ilyTNZiZakqRBtwo4Edi6q2wJcHZV7QN8GDirKX8b8FBTfhhwTpJtehmsJGk4mGhJkgZaVV1TVfevX06yPbBHVS1r1l8OLEyyNXAo8Imm/C5gObBv76OWJM12kyZadsmQeifJ0iQ3NPVqNMnhE9U3SROaS6eVq9t9wE7N656u8ruBnXsTliRpmMyZwjbru2Tc1lW2BDizqpYlOZhOl4zD6OqSkWQ3YDTJwqpa23bg0iw1H9i/qtasL0jyNcavb5LGdz+dhKrbvKb8XjqJ1c+a8l2bssdIsghYBDB//vxpCVQaNEmOAN4C/JLOjYpjgGcDZwLb0PneeFRVPdivGKWZYtIWLbtkSD01Fzg3ybVJzpqkvkkaR1WtA25NchBA07vi9qp6BLgEOK4p3wXYG7huguMsrqqRqhqZN29eb4KXZrAkOwKnAC+pqv2AO4HXA58D3lxVewNXAO/pX5TSzLE5Y7Tm0kKXjCSLkqxIsmLVqrGHk4bWCuC0qnoxnXp2NhPXN0kTOwl4e5LrgHcAb2zKzwR2S3IjsAw4yV4X0tRU1QPAvlW1uimaA6wBHqyqlU3ZJ4FD+hCeNONMpevgWK10yaiqxcBigJGRkdqMOKRZp6oWdS1eRCfRmqi+bcBuThp2VbVr1/s7gQPG2WYdcGQv45Jmk6pak2Rb4EN0ugreRtdN9qpal2Rzvl9Ks84mt2i11SVD0oaSbJfkvV3dAl9Op4Vrovq2Abs5SZKmW5KnA18ErqyqE+gkWTt3rd8GWDfBvvZm0lDZ3DsOJwFLk5wGrAWObcrPBJY0XTKCXTKkKauq1UnuB25K8jBwF3A8sCPj1zdJknqmaclaChxbVT8BqKofJtmhmfzsNjotxleMt7+9mTRsppxo2SVDmn5VdQZwxpjinzNOfZMkqccOBPYEzk+yvuxqOjMPnpfkUeCnwNF9iU6aYexDK0mSpElV1aXAbhOsfmEvY5EGwebMOihJkiRJ2ggTLUmSJElqmYmWJEmSJLXMMVrSEFpw6mX9DkGSJGlWs0VLkiRJklpmoiVJkiRJLbProCQNmS3tOnrHBw9pKRJJkmYvW7QkSZIkqWUmWpIkSZLUMhMtSZIkSWqZiZYkSZIktcxES5IkSZJa5qyDkqRN4qyFkiRNzhYtSZIkSWqZiZYkSZIktcxES5IkSZJaNi1jtJIcAbwV2AoYraq/nI6fIw0L65S6bekYKVmnpOlgvZI21HqLVpLdgfcCfwSMAE9P8sq2f440LKxTUrusU1L7rFfSY01H18GDgIur6uGqKuATwCum4edIw8I6JbXLOiW1z3oljTEdXQd3Au7pWr4b2HnsRkkWAYuaxf9K8r1piGVzPBW4vxc/KB/qxU+Z1Xryu5rC72n3aQ6hrTrVs7/tAeC56OjLeZhFdapf/JwaHMPyOQVTqFebWKdm+nXa+LbMTI+PfGjSGCetV9ORaN0LPKNredembANVtRhYPA0/f4skWVFVI/2OQ5Mbot9VK3VqiM7XpDwXHUN8HvycUk8M2e9q0nq1KXVqpp8749syMz0+aCfG6eg6eDnwJ0me2Cy/FrhkGn6ONCysU1K7rFNS+6xX0hitt2hV1d1J3g9cm2Qd8I2qurjtnyMNC+uU1C7rlNQ+65X0WNMyvXtVXQBcMB3H7oEZ101EExqa31VLdWpoztcUeC46hvY8+DmlHhmq31XL9Wqmnzvj2zIzPT5oIcZ0JoaRJEmSJLVlOsZoSZIkSdJQM9HSQEvy7iQn9DuOQZHkfUmuT/KtJKf1O55eS3JEkpuSfDvJR/odTz8152J5km8kuTDJ9v2OSZotkixIckO/45ipJrsWJ3lTs35lkrd2lR/QXLduSnJ+kq37FN/JSW5oYvl4ksc15e9uYh5tXosee/SexDc65vX7TfnzklzTxL4syVN6HV+SV4+J7a4kf96s69X5e1XzuffjTYl/s85fVfnyNbAv4N3ACf2OYxBewCHAkub9VsANwO/2O64e/v93B74HPBkI8Hnglf2Oq0/nYkdgBbBds3w68KZ+x+XL12x5AQuAG/odx0x8TXYtBl4ELAe2bl7fBEaAHYA7gKc3230Y+Ms+xPdc4KvAVs3yRcDhzfvPAM/p5/lrtlk+zn4B/g3Yq1k+EfhYP+Lr2vYJwI3AE3p1/pqf8wd0nuN1z1Tj39zzZ4tWlyTvSHJjk8FOSxatLZfkI83v6WJgj37HMyiq6jI6F4b1Hges6VM4/XAQcHFVPVydq+QngFf0N6T+qKoHgH2ranVTNAdYvZFdNAMkeVxz9/ym5k76wn7HpI3aJsm5TavxF5Js2++AZojJrsWHAp+uqnVVtQ74FPDHdBKw66vqP5rtzmV6ruEbja+qbqeTWP2qKeq+fs4H3tK0epyf5Km9ji/JHGBu02JzbZL3JtkKeA7wYFWtbDb9JJ0bsD2Nb4xTgI9X1S+a5V6cP6rqmqqa6EHEE8W/WefPRKuR5A+B/YF9gBfguZmRkhwM/DawN3AE8MSN7zF8krxknG4Do0l2raq1SXYDvgwsrqrv9zveHtoJuKdr+W5g5z7F0ndVtSbJtknOALaj82VGM9sTgNGq+n3g7cDxfY5HG7cAeH9V7QfcyYY3uobZZNfiidb36ho+6c9prp9zk3wWWFlVX2tWfYtO4vAHwFXAx/oQ3w7AKLCIzvfapwHHjd2vSWKnY/bxKf2emm53h7PhLJW9OH+TmdLf31TP37RM7z6gng98pesOxbn9DEYTei5wTXOX4VdJvtXvgGaaqroauHq8dUn2B94K/EVVfa+HYc0E9wLP6FretSkbSkmeDpwHnFlVV/Q7Hk3J44GXJnkjnS5V3+1zPNq471XV+jEgX6fT/UiTX4vvZcMv5uvXT1Te6/hoWpM/Aryzqm5cX15Vp3RtdhHwzl7HV1UPAW/oivWf6PztXUXX+UuyDbCu1/F1OR74bFX9cn1Bj87fZCaKf4O/v6meP1ttfuM7wMuaJleSvLZpatXMcgvwh00Xmm2BA/od0KBIsgfwF8CfDmGSBXA58CdJ1reCvha4pI/x9E1Td5YCi0yyBspRwC+q6sXAX9MZM6CZ65lJdmre/wFwez+DmUEmuxZfAhyV5PHN97Cj6fTCuA54QZKnNdu9jum5hm80viTzgP8LHNGdZKXjvUme3BS9HLi5D/Ht2gyFWX99OAi4uap+COzQ1eX4SGA6rv9T/aw9Dji/K+5enb/JjBv/5p4/W7QaVfX1JC8AbkjyKPCFrtYtzRBV9ZWmVeYm4AH84NoUxwHPAr76m+svH62qL/cvpN6pqruTvB+4Nsk64BtVdXG/4+qTA4E9gfO7/haurqr39C8kTcFlwOeSXElnMP7c/oajSXwb+D9Jnkmny1E/7s7POBNdi5OMAv+zqlYk+TKdz/lfAp+rqhUASd4AXJpkLfADoPVr1mTxAa+i0+JxSdf187NVtTjJbcA/J/kv4GHg9X2I71463QdvbuJYyW8evHsMcF7zPfendJLYnsZXVfckGQEeqqrurnjVi/M3kSSfAz5YVSs38l3hGDbx/PnAYkmSJElqmV0HJUmSJKllJlqSJEmS1DITLUmSJElqmYmWJEmSJLXMREuSJEmSWmaiNQSSHJfk8iTX9TsWaTZIcnKSG5IsT/LxJF5Lpc3UPBfxI0muS3JLkg/0OyZptkiyJMnSfscxrPxyMBzuBE4FfACztIWSPBc4DHhRVb0QmAcc2t+opIH2bOA/q+pFwPOBFyf5H32OSRp4SV4BbN3vOIaZidYsk+TUJH/TvD8jyZ9V1deAn/U5NGkgja1TwF7A4V0PNJ8DrO5TeNLAGadOjVTVR5rVOwK/Au7oU3jSwBnvu1+SXYC3Au/rb3TDzURr9vkw8IIkbwaeVFUX9DsgacA9pk5V1Zokc5N8FljZ3MyQNDXjfk4lGQVuAz5ZVav6GJ80aMarU5+gk2it6WtkQ25OvwNQu6rq0STvAb4JPKPf8UiDbrw6lWQh8BHgnVV1Yz/jkwbNRJ9TVbV/kqcAlyX5cVWN9itGaZCMrVNJjgf+tapuSLKgv9ENt1RVv2NQi5I8HrgC+AfgsKp6ZVO+APhcVe3dx/CkgTO2TgEnAP8IvLKqHu5nbNIgGqdOnQNsW1WXNuv/Efh8VX2pb0FKA2ScOhVgG+ARYHtgD+DCqnpr34IcUnYdnH3eB/xTVS0FfpzkhD7HIw26DeoU8Go6d+EvSTLavBb1M0BpwIytU3sDRya5Kcly4KfAl/sYnzRoxtapr1bVIVX1CmARcLVJVn/YoiVJkiRJLbNFS5IkSZJaZqIlSZIkSS0z0ZIkSZKklploSZIkSVLLTLQkSZIkqWUmWpIkSZLUMhMtSZIkSWqZiZYkSZIktez/A4HKhGcshBcKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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J/ifwOmC3qtoD+HfgGEZvv6SBZqIl9VlVPQjs2bUMwgzgcVybTpI0ua0EnuDpW082Ah5l9PZLGmgmWlILqurxJJsmOQ3YDLgd16aTJE1iVXUvcAZwVpL/AzzE2tuvNdhOadCYaEktSLID8BXgqqo6hk4j5dp0kqRJK8k+wCur6i1V9VHgDjpDB0drv9ZgO6VBY6Il9VmSTYHzgYVVdSVAVf0M16aTJE1uOwHdF/5m0um9Gq39kgbaOk/vLmmD7QvsDFyQZKjsauAIXJtOkjR5/T2wa5KbgCeBVcBRwJaM3H5JA81ES+qzqroM2H6Uza5NJ0malKrqMUZPop7RfkmDzqGDkiRJktRjJlqSJEmS1GMmWpIkSZLUYyZakqQpL8kJSa5L8oMkn0kyM8ncJFc15UuT7NjsOzPJ4qb8liT7th2/JGn6MdGSJE1pSbYBngvsUVUvA2YBrwMWA2dW1e7AJ+gstArwHuDhpvwg4Oxha9VJkrTBTLQkSVNaVa2sqvdXVSXZHHgO8CNgp6pa0uxzBTA/yUzgQODcpvwe4Hpgz3ailyRNVyZakqRpIcnngX8DvgM8DKwYtssDwNbN476u8nuBbUc438Iky5IsW7Fi+KkkSVo7Ey1J0rRQVW8CdgR2BQ6gk1B1mw2sBO5nzcRqTlM2/HyLqmpBVS2YPXv2xAQtSZq2TLQkSVNakl2SHA5QVf8J/JTOfVq3Jdmv2Wdf4I6qehK4FDiqKd+OTmJ2bRuxS5Kmr3ElWs7mJEmaxH4C7N4M8/seMA84DzgOeG+Sa4H3AW9v9j8d2D7JjcAS4LiqeqL/YUuSprMZY+0wbDanSnIhndmcFgKnV9WSJPvTmc3pILpmc0qyPbA0yXwbMUnSRKiqVcDRI2x6DNhnhP1XA4dOdFySpME2Zo+WszlJkiRJ0roZ9z1avZ7NSZIkSZKmqzGHDg6pqjclmQVcADzC2LM5PdqUjzibU5KFdIYfMnfu3HUOXJIkSZImqzF7tCZqNienzZUkSZI0XY1n6KCzOUk9lOTgJBcluburbO8kdzYzeC5NclZTniQfTXJjkuVJ3tRe5JIkQTPz9FeTXJ3km0l+O8lLk1yT5IYkS5I8r+04pbaNOXTQ2ZyknlsBHAvc3lX2AuAjVbVo2L5/CryITs/wFsANSa6uqnv7EqkkSc90NvCuqvppktnAU8D3gT+pquVJjgU+BBzfZpBS21ywWOqzqrqmqlYOK54H7J3kO836dLs05QcCi6rjUeDLwP79i1aSpKclmUPnFpKFzUinvwF2AB6qquXNbp8GDmgnQmnyMNGSJoc7ga9W1T7Au4AvJdmIdZjFM8nCZojvshUrhk8KKklST8wFXgb8fVXtBTwInEJXW9WMbnrGqCnbKQ0aEy1pEqiqz1bVRc3zH9OZ2fN/8PQsnkNGnMWzOc4JZiRJE+1h4NaqurV5/SXgv+hqq5JsAqwefqDtlAaNiZY0CSR5a5Lfbp7vCGxJp/fqUuAtTfks4A3AlS2FKUnSvwCzkrywef1q4BZg8yTzm7JDsa2Sxr+OlqQJdRNwZpJn0bmp+LCq+nWSS4DdkiwDCviYE2FIktpSVU8leTNwXpKN6QwZfAtwcVP2FPAL4PAWw5QmBRMtqSVVNafr+Q+BvUbYp4C/7Gdc/TDvxMs36Pg7P+Y91pLUlmbY4KuGFS8Hdut/NNLk5dBBSZIkSeoxEy1JkiRJ6jGHDkqacjZ06KEkSdJEs0dLkiRJknrMREuSJEmSesxES5IkSZJ6zERLkiRJknrMREuSNOUlOSTJ9Um+l+SiJLOSvDTJNUluSLIkyfOafbdMckmS65LcmGSXlsOXJE1DJlqSpCktyVbACcCrqmov4C7grcCFwDuralfgSuBDzSGnAEuravdmv8/2P2pJ0nRnoiVJmtKq6kFgz6pa1RTNAB4HHqqq5U3Zp4EDmuf7N6+pqluBXyZ5Yf8iliQNAhMtSdKUV1WPJ9k0yWnAZsDtwH1d21fz9NqRM7qSMoB7gW37FqwkaSCMK9Fy7LskaTJLsgPwFeCqqjqGTpK1bdf2TYDVzctVzeshc4D7RzjnwiTLkixbsWLFxAUvSZqWxky0HPsuSZrMkmwKnA8srKorAarqZ8DmSeY3ux1Kp60CuAw4sjl2Z2CLqvrX4eetqkVVtaCqFsyePXuCfwtJ0nQzY6wdqurBJHtW1eNdx4w09v2fgePpjH1/R3PsrUl+meSFTaMnSVKv7QvsDFyQZKjsauAI4LwkTwG/AA5vtp0EfC7J4UABb+5rtJKkgTBmogVPj30HPg5swghj35OMNfbdREuS1HNVdRmw/Sibdxth/4eA105oUJKkgTfee7Qc+y71SJKDm3sd7+4qm5vkqubexqVJdmzKZyZZ3JTfkmTf9iKXJKkjyUlJljbPR7xvXxp047lHy7HvUm+tAI4FZnaVLQbObO5t/ARwRlP+HuDhpvwg4OxhFzIkSeqrJAuAFzTPw+j37UsDbTxDBx37LvVQVV0DMFSfkswCdqqqJc32K5KcmWQmcCBN3aqqe5JcD+wJfLuN2CVJgy3JZsDfAm8ELgJezOj37UsDbTyTYTj2XZpYW9Lp5er2ALB187ivq9z1fiRJbToFOK2qHmguGK7RTg27b38NSRYCCwHmzp3bh1CldrlgsdS+lXQaqm6zm/L7WTOxGvGeR/C+R0nSxEryauB5VfXlruI12qlh9+2vwdtGNGhMtKSWVdVq4LYk+wE0E17cUVVPApcCRzXl2wG7AteOch4bMEnSRDoQmJ3kq0m+CswH/prR79uXBtq4pneXNOGOA85PchLwBM2EMsDpwOIkNwIBjquqJ1qKUZI0wKpqjfuukiytqsOS7MLI9+1LA81ES2pJVc3pen4XsM8I+6ymc3VQkqRJpar2bv5dzgj37UuDzqGDkiRJktRjJlqSJEmS1GMmWpIkSZLUYyZakiRJktRjJlqSJEmS1GMmWpIkSZLUYyZakiRJktRjJlqSJEmS1GMmWpIkSZLUYyZakiRJktRjJlqSJEmS1GMmWpKkKS3JwUkuSnJ3V9ncJFcluS7J0iQ7NuUzkyxuym9Jsm97kUuSpjMTLUnSVLcCOBaY2VW2GDizqnYHPgGc0ZS/B3i4KT8IODvJJv0MVpI0GMZMtLxSKEmazKrqmqpaOfQ6ySxgp6pa0my/ApifZCZwIHBuU34PcD2wZ/+jliRNd+Pp0fJKoSRpKtmSTtvV7QFg6+ZxX1f5vcC2/QlLkjRIZoy1Q1VdA5CE5t9nXClMcmbXlcLDm/J7kgxdKfz2xIQvTS9Jzgd2Ah5vij4JLAcWAc8BVgOHV9VdbcQ3ZN6Jl7f546WxrKSTUHWb3ZTfTyexerQpn9OUPUOShcBCgLlz505IoNJUk+QQ4F3Ar+lcqDgCeBFwOrAJnYsch1XVQ23FKE0W63OP1pZ4pVCaKHOBvatq6PE1Ru9BljSCqloN3JZkP4BmGPsdVfUkcClwVFO+HbArcO0o51lUVQuqasHs2bP7E7w0iSXZCjgBeFVV7QXcBbwVuBB4Z1XtClwJfKi9KKXJY30SrfFcKRyy1iuFSZYlWbZixfC8TRpYWwLnJPlukjPGuNdE0uiOA96b5FrgfcDbm/LTge2T3AgsAY6rqidailGaUqrqQWDPqlrVFM2gMwLjoapa3pR9GjighfCkSWedEy2vFEoTahlwUlW9kk7P8ZmM3oMsqUtVzel6fldV7VNVe1TVq4aG21bV6qo6tKpeUVUvr6pvtRexNPVU1eNJNk1yGrAZcDtdo5ma74lj3poiDYL1nd7dK4XSBKiqhVX18+blxcA8Ru9BXoO9xJKkiZZkB+ArwFVVdQydJGvbru2b0LmfeKRjbac0UMZ9xWH4lUJgnxH2WQ0c2pvQpMGSZDM6Fy5OburSa+j0cD2WZL+qumpYD/IaqmoRnUkzWLBgQfUxdEnSAEiyKXA+cOTQRcGq+lmSzZPMr6rb6XwPvHKk422nNGjs2pUmiapalWQlcFOSR4B7gKOBrYDzk5wEPAEc2WKYkqTBtS+wM3DB0GzUwNV0Zh48L8lTwC9oZqCWBp2JljSJVNVpwGnDin/JCD3Imro2dHr8Oz/mfeaS+q+qLgO2H2Xzbv2MRZoK1vceLUmSJEnSKEy0JEmSJKnHTLQkSZIkqcdMtCRJkiSpx0y0JEmSJKnHTLQkSZIkqcdMtCRJkiSpx0y0JEmSJKnHTLQkSZIkqcdmtB2AJGndzDvx8g06/s6PHdCjSCRJ0mjs0ZIkSZKkHjPRkiRJkqQeM9GSJEmSpB4z0ZIkSZKkHjPRkiRJkqQec9ZBaQBt6Kx1mtqctVCSpIk3IT1aSQ5JclOSm5OcOhE/Qxok1impt6xTUu9Zr6Q19TzRSrIjcDLw+8ACYIckb+z1z5EGhXVK6i3rlNR71ivpmSZi6OB+wCVV9QhAknOBI4FLJuBnSYPAOqVJZRoMPbROSb1nvZKGmYhEa2vgvq7X9wLbDt8pyUJgYfPyV0l+MgGxrI9tgJX9+EH5eD9+yrTWl7/VOP5OO05wCG3Uqb7Vgxb4u7VsQOtUL9lOTR2D0k7BOOrVOtapyf55ZnwbZrLHRz4+Zoxj1quJSLTuB17Q9XpOU7aGqloELJqAn79BkiyrqgVtx6GxDdDfqu91ajq/t/5uwnZKfTJgf6sx69W61KnJ/t4Z34aZ7PFBb2KciMkwrgD+MMkWzes3A5dOwM+RBoV1Suot65TUe9YraZie92hV1b1JPgJ8N8lq4HtV5fhcaT1Zp6Tesk5JvWe9kp5pQtbRqqrPA5+fiHP3waQbJqJRDczfqoU6NZ3fW3832U6pXwbqb9XjejXZ3zvj2zCTPT7oQYypql4EIkmSJElqTMiCxZIkSZI0yEy0NKUl+WCSY9qOYzpK8uEk1yX5pyQntR3PhkpySJKbktyc5NS24+ml5ne7Psn3klyUZFbbMUmDLMm8JDe0HcdkNdbncZJ3NNuXJ3l3V/k+zWfdTUkuSDKzpfiOT3JDE8tZSZ7VlH+wiXlp81j4zLP3Jb6lwx4vb8pfmuSaJvYlSZ7X7/iS/NGw2O5J8ufNtn69fwc3beXd6xL/er1/VeXDx5R9AB8Ejmk7jun2AA4AFjfPNwJuAH677bg24PfZEfgJ8FwgwJeAN7YdV49+t62AZcBmzetTgHe0HZcPH4P8AOYBN7Qdx2R8jPV5DOwBXA/MbB7fBxYAmwN3Ajs0+30C+MsW4nsJ8A1go+b1xcBrm+efA17c5vvX7HP9CMcF+DGwS/P6WOBTbcTXte+zgRuBZ/fr/Wt+zu/SWcfrvvHGv77vnz1aXZK8L8mNTQY7IVm0NlySU5u/0yXATm3HMx1V1eV0PkSGPAt4vKVwemE/4JKqeqQ6n5DnAq9vN6TeqKoHgT2ralVTNANYtZZDNEUleVZz9fym5kr6/LZj0lptkuScpqf5y0k2bTugSWKsz+MDgc9W1eqqWg18BngdnQTsuqr692a/c5iYz/G1xldVd9BJrP6rKer+zJ0LvKvp9bggyTb9ji/JDGDLpsfmu0lOTrIR8GLgoapa3uz6aToXVfsa3zAnAGdV1WPN6368f1TVNVU12kLEo8W/Xu+fiVYjye8BewO7A6/A92ZSSrI/8FvArsAhwBZrP0Jrk+RVIwwxWJpkTlU9kWR74GvAoqr6advxboCtgfu6Xt8LbNtSLD1XVY8n2TTJacBmdL6YaPp5NrC0ql4OvBc4uuV4tHbzgI9U1V7AXax58WqQjfV5PNr2fn2Oj/lzms/cLZN8AVheVd9sNv0TncThd4FvAZ9qIb7NgaXAQjrfa58PHDX8uCaJnYjZx8f1d2qG3b2WNWep7Mf7N5Zx/f8b7/s3IdO7T1EvA77edYXinDaD0aheAlzTXGX4ryT/1HZAU1lVXQ1cPdK2JHsD7wb+oqp+0sewJsL9wAu6Xs9pyqaFJDsA5wGnV9WVbcejCbMx8AdJ3k5nSNU/txyP1u4nVTV0D8i36Qw/0tifx/ez5hfzoe2jlfc7Ppre5FOBD1TVjUPlVXVC124XAx/od3xV9TDwtq5Y/5HO/71v0fX+JdkEWN3v+LocDXyhqn49VNCn928so8W/xv+/8b5/9to87QfAq5suV5K8uelq1eRyK/B7zRCaTYF92g5oOkqyE/AXwBumQZIFcAXwh0mGekDfDFzaYjw909SD84GFJlnT3mHAY1X1SuCv6NwzoMnrN5Ns3Tz/XeCONoOZRMb6PL4UOCzJxs33sMPpjKy4FnhFkuc3+72FifkcX2t8SWYDfwcc0p1kpePkJM9til4D3NJCfHOaW2GGPh/2A26pqp8Bm3cNOT4UmIg2Y7zt7VHABV1x9+v9G8uI8a/v+2ePVqOqvp3kFcANSZ4CvtzVu6VJoqq+3vS03AQ8iA3XRDkKeCHwjac/q/lkVX2tvZDWX1Xdm+QjwHeTrAa+V1WXtB1Xj+wL7Axc0PW3urqqPtReSJoglwMXJrmKzs34W7YbjsZwM/D/kvwmnSFHbVydn3RG+zxOshT446paluRrdNr5XwMXVtUygCRvAy5L8gTwL0DPP+fGig84mE6Px6Vdn7lfqKpFSW4HvpPkV8AjwFtbiO9+OsMHb2niWM7TC+8eAZzXfM/9BZ0ktq/xVdV9SRYAD1dV91C86sf7N5okFwIfq6rla/m+cATr+P65YLEkSZIk9ZhDByVJkiSpx0y0JEmSJKnHTLQkSZIkqcdMtCRJkiSpx0y0JEmSJKnHTLQGQJKjklyR5Nq2Y5GmgyTHJ7khyfVJzkriZ6m0npp1EU9Ncm2SW5N8tO2YpOkiyeIk57cdx6Dyy8FguAs4EXABZmkDJXkJcBCwR1XtBswGDmw3KmlKexHwH1W1B/Ay4JVJfqflmKQpL8nrgZltxzHITLSmmSQnJvmb5vlpSd5UVd8EHm05NGlKGl6ngF2A13YtaD4DWNVSeNKUM0KdWlBVpzabtwL+C7izpfCkKWek735JtgPeDXy43egGm4nW9PMJ4BVJ3gk8p6o+33ZA0hT3jDpVVY8n2TLJF4DlzcUMSeMzYjuVZClwO/DpqlrRYnzSVDNSnTqXTqL1eKuRDbgZbQeg3qqqp5J8CPg+8IK245GmupHqVJL5wKnAB6rqxjbjk6aa0dqpqto7yfOAy5PcXVVL24pRmkqG16kkRwM/qqobksxrN7rBlqpqOwb1UJKNgSuBfwAOqqo3NuXzgAuratcWw5OmnOF1CjgG+CLwxqp6pM3YpKlohDp1NrBpVV3WbP8i8KWq+mprQUpTyAh1KsAmwJPALGAn4KKqendrQQ4ohw5OPx8G/rGqzgfuTnJMy/FIU90adQr4IzpX4S9NsrR5LGwzQGmKGV6ndgUOTXJTkuuBXwBfazE+aaoZXqe+UVUHVNXrgYXA1SZZ7bBHS5IkSZJ6zB4tSZIkSeoxEy1JkiRJ6jETLUmSJEnqMRMtSZIkSeoxEy1JkiRJ6jETLUmSJEnqMRMtSZIkSeoxEy1JkiRJ6rH/D5RsnzRmceOUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_histogram(X, suptitle=\"test data\")\n",
    "draw_histogram(data, suptitle=\"generated data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "bc4d3624-24e9-41b2-a212-673d281d0031",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4tIJk0szi7n7oZoCyFa9nPWcjsBFg7dq1tUhdpBFdCpwJ/LP98s7IO9z9c0d/igRtKpVj10iC1Vr3RESE6t/SihxbNASpbIHoPIy/q1UP1BVAn5l9r/T4bOBPgTYzO9vdnwSupngfFMCtwEeAr5nZmUC7u78496TuvgnYBDAwMKDVJ0UAd78VWBV0HnJ8dh6cJpMvsPOgxvyLyNIWjYSwUhSplV2jSbwUq1WTAsrdPzn7sZltcfcPl2bX+3szKwAHgWtKh3wW+IaZXQM4cG0t8hIRqRcrljUzNJlhxTL1QInI0jaTyuKlKFIrXa0RxpN5ulqrL39qeQ/UYYdWri5NIPHmI+wfA96zELmIiNSDt57Wx4HJNG89TZN6iMjSNpnysihSC9mcUyjFaqmvVEQkAL/YN0XIjF/smwo6FRGRQNmcKFILg5OZslgNFVAiIgE4qbOJlmiEkzqrn05VRKSRNcWsLIrUghfKYzUWZAifiIiUu/INazhtRTvnrOoMOhURkUD1tkRIZbL0tuhtqdRONALZXDFWS69UEZEArOluYU13S9BpiIgErn9ZC/snJ+hfpt+JUjtNsTCJXJ6mWLjqc2kIn4iIiIgEZvvgFJlCMYrUSmdzhFApVksFlIhIAHaPJrht2z52jyaCTkVEJFCJTKEsitRCUzRCUzRE0zyM4VMBJSISgG17xxkcT7Nt73jQqYiIBOrQ+9n5uDdF5GiWtzeVxWqogBIRCUBvW5x9kwl62+JBpyIiEqjmaLgsitTCRCpLLBxiYh4WbFYBJSISgO2DU4zPZDXmX0SWvKZYhGioGEVqpbM5Qiqf1z1QIiKN6mdP7+eH2/bxs6f3B52KiEigTulrwb0YRWplz1iSQt7ZM5as+lwq9UVEAvDzl0ZJZotRRGQpe3ZohnDIeHZoJuhUZBGbSufIFIqxWuqBEhEJQMisLIqILFXL22Jk887ytljQqcgiVig4oVKslgooEZEAhPCyKCKyVCXzTiRsJPP6fSi10xQ2CqVYLRVQIiIBmMiURxGRemJmV5nZQ2b2sJldf4T955jZT8zsDjO71czWnOi1phMpsnlnOpGqLmmRY9gzkS2L1dA9UCIiIiJymJmtAz4PnAtMAt80syvdfXNpfxj4CvBBdx82s9XA+IleL08YJ08eTWMutdMWCzGZKdAWq77/SD1QIiIiIjLbZcBmd59wdwduAN43a/+vAPuBL5jZfwAfA054arNMNlcWRWrh9y87nbNXtvP7l51e9blUQImIiIjIbD3A4KzH+4Hlsx6vBd4MfA54a+nxNXNPYmYbzWyrmW0dHh4+6sU6WqKErRhFauXVJy3jvFN6ePVJy6o+lwooEREREZltiPKCqb+07ZBx4C533+3uBeDfgDfOPYm7b3L3AXcf6OvrO+rFTu5tJRoxTu5tnZfkRY7kL257mn+5fyd/cdvTVZ9LBZRIgzOzD5rZt8xsV9C5iIjIonAb8H4zay89vha4Zdb++4HXmFlv6fE7gMdO9GLzucCpyNG8NDJDJue8NFL9emMqoEQa3zDwcUALaIiISNXcfT/wBeBuM3sQGHL3zWa2xcz63X0K+D3gu2Z2HxAH/vFEr5ctOAUvRpFaOW1FG+FQMVZLs/CJNDh3vwvAtCCriIjME3e/Gbh5zraLZn19J3DhfFyrsyXK/ok0nboHSmooFAoRj4YJhTQLn4iIiIg0sOZomFjIaI5qGnOpnXSuQMRCpHOFqs+lAkpkCah0JiQREZGFlkrnyeYLpNL5oFORRezk3hZyhTwn97ZUfS4VUCJLQKUzIYmIiCy4kNEUjUBIQ9Gldn769BDTmQI/fXrolQ9+BTUroMzs02Z2n5k9amZfN7OYma01sx+Xtm8prXRNad+Npe2PmNmltcpLRORIdo8muG3bPnaPJoJORURkSXnraX20N0d462n6gE9qJ5ktlMVq1KSAKk1ruQx4i7u/HmgB3gvcCPydu58P/BXwldJT/gAYL21/N/BVM4vXIjeRxcrd+4POoZF9+Y5n+dwPnubLdzwbdCoiIkvKgy+MMD6T4cEXRoJORRaxM09qJ2zFWK2aFFDuPuLuf+zubmZtQAfwNHCGu/+gdMxtwNlmFgOuAG4obd9LcX2BC2qRm4jIkTy2a4xEOsdju8aCTkVEZEl5aTRJIlPgpVGtAyW1M5PO4l6M1arpPVBmdjOwA7iT4qrVc+9ePwD0lP4Nztq+n/IVsA+dTzfCi0hNXPCqXqKREBe8qveVDxYRkXmTz+fIl6JIrew8mKJQitWqaQHl7r8OrAPOAy6nWCjN1geMAEOUF0z9pW1zz6cb4UWkJp4ZmiKdK/DM0FTQqYiILCnDM4WyKFILoTlxPs41r8zsdWZ2DYC7J4BnKd4Htc3MLisdcynwlLtngVuA60rbV1AsuO6tRW4iIkfywtAkiXSeF4Ymg05FRERE5llHS7gsViNytB1mdg8w9woGeGmyh2PZDvyWmX0SSAJ7gP8BfBe4ycw+C6SBj5SO/zJwo5k9WLrGJ9w9fbzfjIjIiYqGwxTIEw1rIUcRkYW0oTvGjtEMG7pjQacii1imtIBuZh4W0j1qAQVMAn8IHPd4FndPAh89wq4Z4OIjHJ8Brj7e64iIzJdkJk+oFEVEZOFsWN7BVHqcDcs7gk5FFrFE1stiNY5VQH0HWOHuT1Z9FRGROhcPQ6EURURk4ew8MMXoTI6dB3QPqtROf1uUXRNZ+tuiVZ/rqPdAufuN7v4zM/vPs7eb2caqryoiUmeGpvNlUUREFsa+yTSFUhSpFQuFymI1KjnDm8zsRjNbY2bfBk6v+qoiInWmMCeKiMjCiEZCZVGkFoam0mWxGq/4SnX3/wY8TnE9p++7+3+v+qoiIiIiIkDMvCyK1EJXS6QsVuMVCygz+zPgMuBC4GozO9LkECIiIiIixy1dMKwURWqlf1kLnc0R+pe1VH2uSvpKk8Dl7n4/8E7g5KqvKiIiIiICrFwWw0tRpFZO6Wslly9wSl9r1ed6xT4sd//LWV/nKE5tLiIiIiJStZGZPNGwMTKjSXykdp7YO4mFjCf2TlZ9Lt2tJyJCcQXv2VFERBbGxaf3Eg8bF5/eG3QqsoiFvMBUKk/Iq58uSgWUiAjgc6KIiCyMRCZPOGQktJC51NBIIkfEirFaKqBEREREJDAP7BhjMpXngR1jQacii1hvS4ScF2O1VECJiIiISGDiVsBLUaRWJlJ5wlaM1VIBJSIiIiKBmcl6WRSphVjYwEuxSiqgRESApnB5FBFZyszsKjN7yMweNrPrj3HcjWZ2UzXXyuQKZVGkFs49pZe+jjjnnlL9ZCUqoEREgFy+PIqILFVmtg74PPA2YABYbWZXHuG49wFVL960oiOOlaJIrSTSWZKZHIl0tupzqYASWQQq/aRQjq4wJ9ZazMqjiEgduQzY7O4T7u7ADcD7Zh9gZiuATwF/Xu3FkpksXooitbJl+wEmUnm2bD9Q9blUQIk0uEo/KZRji4bKY63lvTyKiNSRHmBw1uP9wPI5x9xAsYBKHe0kZrbRzLaa2dbh4eGjXmw8USiLIrUwkymP1VABJdL4XvGTQnll6UJ5rLWB9cuIhopRRKTODFFeMPWXtgFgZh8Fnnb3B451Enff5O4D7j7Q19d31OOiESuLIrUQtfJYjeonQheRoFXySaHUmb+56g1s2zvOOas6g05FRGSu24CfmtlfuvsUcC3wvVn73wHEzex7QAtwhpn9jbt/6kQu9tbTe7nv+VHOf1V3lWmLHN1JnTF2jWU4qbPq2/ZUQIksAkPAhlmPyz4phOIwCmAjwNq1axcuMzmqNd0trOluCToNEZGXcff9ZvYF4G4zywD3uPtmM9sCfMjdP3DoWDNbD/zZiRZPAG86uZfdoynedHL1s6OJHM1Yaeze2DyM4dMQPpHGdxvwfjNrLz2+Frhl9gGVDqMQEREBcPeb3f317v6mQ8WRu1/k7oNzjnvJ3X+jmmv928938+LwDP/2893VnEbkmKYy5bEaKqBEGpy77wcOfVL4IDDk7psDTktERKQie0ZnSGQL7BmdCToVWcTi4fJYDQ3hE1kE3P1m4Oag8xARETlemdJ0pBlNSyo11BEzhpNOxzysH6IeKBEREREJzLruFqwURWplIuNlsRo1K6BKC3veb2b3mNm3zKzFzF5rZneZ2QNm9gMz6yod22lmm83sPjN70MxeV6u8RERERKR+jCYyeCmK1Eo+Xx6rUZMCysy6gU8Dl7j7hcBO4DeBbwK/6+7nAT8CPld6yl8DW9z9/NJx/1iLvERERESkvoxO58qiSC2EQ+WxGjUpoNx9FLjA3ZOlTRGKK1WPuftjpW3/AFxe+vpdpce4+xPAlJmdUovcRERERKR+NEXLo0hN+JxYhZoN4XP3lJk1mdmXgGbgSWYt9unuGX45iUVkVrEFWghURERERETmyatWtBEJFWO1ankP1Grgu8CP3f1jFIun5bP2x4FDg12TpceHvGwh0NJzNprZVjPbOjw8XKvURURERGSBpHPlUaQWOprCWClWq1b3QDUBNwEb3f1HAO7+AtBmZmeXDrua4n1QALcCHyk990yg3d1fnHteLQYqIiIisrjEwuVRpBae2jdJtlCM1arVOlCXAmcC/2x2eK71O4DfAP7ezArAQeCa0r7PAt8ws2sojky8tkZ5iYiIiEgdOWV5K0/um+GU5a1BpyKLWLa0zlh2HtYbq0kB5e63AquOsvvNRzh+DHhPLXIRERERkfqV9xBN0RB51/KkUjt1P425iIiIiEgl0rksqWyBdC4bdCqyiGXnxGqogBIRERGRwAyNpyiUokitNEfKYzVUQImIiIhIYPJzokgttMfDZbEaKqBEREREJDArlzURKkWRWhlL5MtiNVRAiYiIiEhg1vS00d0aZU1P9QucihxNOFQeq6ECSkREREQCk0hnmUhmSaQ1iYTUTjZfHquhAkpEREREAvPi8AzuxShSK+t7m8piNVRAiYiIiEhgTlneRihUjCK1kss74VKslgooEREREQmOO/FwCLz6N7YiRzOZypEvxWqpgBIRERGRwExlCuS9GEVqpTkawkqxWiqgRERERCQwbdEQuXyBtnl4YytyNCuWNROPGCuWNVd9Lr1SRRqYmcXN7HfM7G4z+9eg8xERETlev9g/SaZQjCK10tkcpS0eobM5WvW5VECJNLYc8AzwF4AFnIuIiCwSZnaVmT1kZg+b2fVH2P9JM3vAzO43s/9tZif8njKV9bIoUgvNsTDZfIHmWLjqc6mAEmlg7p5399uBZNC5NDqbE0VEliozWwd8HngbMACsNrMrZ+0/C3g38BZ3fzPQB1xxotfrXxYtiyK1sHM0STbv7Byt/i1TZB7yEZEaM7NLgD85wq4PufvgQuezGPmcKCKyhF0GbHb3CQAzuwH4CLAZwN2fMrP3uPuhJUkjVPFBXmssQtSytMb0tlRqJ5/Pk80VyOerX0lXr1SRBuDudwB3nOjzzWwjsBFg7dq185WWiIgsTj3A7A/n9gPLZx/g7ikz6wT+N/CYu//73JNU+rdn32SarBejSK20xKK0NkVoiekeKBGpgLtvcvcBdx/o6+sLOh0REalvQ5QXTP2lbYeZ2dnA/wd8yd3/3yOdpNK/PWGzsihSCxee1kt7U4QLT+ut+lwqoERERERkttuA95tZe+nxtcAth3aaWR/wv4Cr3P3Bai+2rruFpnAxitTKC8MzmBVjtVRAiSwC7r7F3T8UdB4iItL43H0/8AXgbjN7EBhy981mtsXM+oH/BGwAbilt21IarndCTupuJh6NcFJ39evziBzNnoPTHJhIsefgdNXn0j1QIiIiIlLG3W8Gbp6z7aLSl18p/ZsXT+2ZYDqV46k9E/N1SpGXGU1myeaLsVrqgRIRERGRwEylc+RLUaRWMtkC+VKslgooERG0DpSISFDaYmHCpShSK9OpbFmshgooERG0DpSISFBOWd5GNGqcsrwt6FRkEZvPv/MqoEREREQkMHvGkhTyzp6xE16LV+QVFbw8VqMmBZSZfdDMvmVmu2ZtW2tmPzaz+0qztawrbY+Z2Y2l7Y+Y2aW1yElE5Fheu6qdcCmKiMjCSWbzZAvFKNIIatUDNQx8HIjN2nYj8Hfufj7wV/xy9pY/AMZL298NfNXM4jXKS0TkiE5d0UZzLMSpKzSERERkIYWt+IY0rJtQpYZWdbUQKsVq1aSAcve73H3k0GMzawHOcPcflPbfBpxtZjHgCuCG0va9wP3ABbXIS0TkaG59Yj/TmQK3PrE/6FRERJaUld2tNMfDrOxuDToVWcT6WmO0xkL0tcZe+eBXsFD3QHVS7JWa7QDQU/o3OGv7fmD5wqQlIlIUnhNFRGRhxEMhCgUnHtKt+VI7zx+YYipT4PkDU1Wfa6FeqSMUC6XZ+krbhygvmPpL217GzDaa2VYz2zo8PLceExE5ca9Z10VbPMxr1nUFnYqIyJLy0I6DJLIFHtpxMOhUZBEbTuTLYjUWpIBy9wywzcwuAyhNFPGUu2eBW4DrSttXAOcB9x7lPJvcfcDdB/r6+hYidRFZIs5Y0U48EuKMFZpEQkRkISVy5VGk3i1kX+kngD80s3uBPwJ+u7T9y8AqM3sQ+AHwCXdPL2BeIiLcuf0AM+kcd24/EHQqIiIiUscitTy5u/fP+noncPERjskAV9cyDxGRV9ISDZHPOy1RjcEXEVlITWFI5YtRpFa6m0OMJgt0N1f/d17vFEREgHg0QjhsxKM1/VxJRETmuPjMPpY1hbn4TN2eIbWzuquZUClWSwWUiAiQzuYJmZHWQo4iIguqLR6lORamLR4NOhVZxPZPZQhZMVZLBZSICHD26k46miOcvboz6FRERJaUF4ZnSGULvDA8E3Qqsoid1B6j4MVYLRVQIiKAu5dFERFZGIlUhvFkjkSq+p4BkaNJ5pxIqBirpQJKRAR4ev8Uk8kcT++vfoE9ERGp3I6DybIoUguJVJZcoRirpQJKRARoj4UIWzGKiMjCaY9HyqJILSQzOQqlWC29UkVEgPNPXY5biPNf1Rt0KiIiS8ryjjgTqRzLO+JBpyKLWKo0dC81D0P4VECJNDgz+3OKa6xFge+7++cDTqkhnXdyD5OpLOed3BN0KiIiS8pEIkO+UIwitWJzYjU0VkWkgZnZ5UC/u58PnAdcbmavCTithjQynWZlRwsj0+mgUxERWVKmUlkKpShSK4dWKZmP1UrUAyXSwNz9h2b201mbQkAqqHwa2TmrOoHxUhQRkYUSi0awTI6YFjKXGoqGIZMrxmrplSrSAMzsEuBPjrDrQ+4+aGargE3AJnd/dmGzWxzWdLewprsl6DREROqCmV0FfAoIA1vc/b/P2f87wP8FxIB/cfe/OdFrrepsZmxmilWdzdWkLHJM4bBBzouxSiqgRBqAu98B3HGkfWZ2EcU/cr/v7tuPcsxGYCPA2rVra5OkiIgsCma2Dvg8cC4wCXzTzK50982l/W8B/jNwQekpd5jZFnffeiLXG09miEaM8aTugZLaKRS8LFZD90CJNDAzOwP4feADRyueANx9k7sPuPtAX1/fwiUoUufMLGRm/9vMHjKz+83s7KBzEqkDlwGb3X3Ci6uL3wC8b9b+K4B/dPeMu2eArwPvPdGLdbfEyead7hbNwie1EwmHymJV56r6DCISpOuAU4DbzQ53Sf+tu38/uJREGkorxeFJHzeztwIfBT55vCdZ/5kfHv76pS9ePn/ZicyxQK+1HmBw1uP9wPI5+++fs/9NJ3qxsUSaaNgYS2gSH6md3rYYk6kUvW2xqs+lAkqkgbn7pygO3xORExMF3m5mv03xXo5n5h6gIbCyBA0BG2Y97i9tm71/+TH2A5W3nXNP7uXuZ4c592Stwye1094co6M5R3tz9QWUhvCJiMhS9mFgxt3fCvw/HGGJEA2BlSXoNuD9ZtZeenwtcMus/bcAHzazqJmFgWuAl418qLTtfPKS0/iTd5/FJy85bf6+A5E5/uuFJ/PGdZ381wtPrvpc6oESEZGl7IcUb5D/MXA70HkiJ9GwPVkoC/Fac/f9ZvYF4G4zywD3uPtmM9tCcfbXrWb2feAhIAd880QnkADNgioL44rXrOKK16yal3OpgBIRkSXL3Z8D3jhr098GlYtIPXH3m4Gb52y7aNbXfwOc8NTlIo1MQ/hERIDdowlu27aP3aOJoFMRERGROqYeKBERYNvecQbH08C4hpKIiIjIUamAEhEBzlnVCYyXooiIiMiRqYASEUE3MYuIiEhldA+UiIiIiIhIhVRAiYiIiIiIVKhuCigzu8rMHjKzh83s+qDzERERERERmasuCigzWwd8HngbMACsNrMrg81KRERERESkXF0UUMBlwGZ3n3B3B24A3hdsSiIiIiIiIuWsWK8EnITZHwHT7v7l0uMzgf/l7u+Yc9xGYGPp4enA9gVN9OV6gZGAc5Ajq5efzTp37ws6idnMbBjYGXQedWqhXzf18jqtR3XXduAV249+nrJQjvVaa8S2A2o/sjBe6XVWUfupl2nMh4ANsx73l7aVcfdNwKaFSuqVmNlWdx8IOg95Of1sjq4e/7DWi4V+3eh12niO1X7085SF0oivtVf629OI35M0nvl6ndXLEL7bgPebWXvp8bXALQHmIyIiIiIi8jJ10QPl7vvN7AvA3WaWAe5x981B5yUiIiIiIjJbXRRQAO5+M3Bz0Hkcp7oZTigvo5+NnIiFft3odbq46OcpC2UxvtYW4/ck9WdeXmd1MYmEiIiIiIhII6iXe6BERERERETqngooWdTM7M/M7GNB5yGNRa8bqYZePyInRm1HGoUKKBERERERkQqpgDpBZvZHZvagmT1cWuBX6oSZXV/62WwGzgg6H2kMC/260e+QxUW/d2QhLMbfG2o7slDms/2ogDoBZvZrwEXA+cCb0P9j3TCzdwGvAs4DrgLaj/0MkYV/3eh3yOKi3zuyEBbj7w21HVko891+6mYa8wbzeuAn7p4vPf5akMlImbOAu7w4vWTezH4edELSEBb6daPfIYuLfu/IQliMvzfUdmShzGv7afhPLwLyKPAOM4sAmNm1ZhYOOCcpegL4NTMLmVkTcHHQCUlDWOjXjX6HLC76vSMLYTH+3lDbkYUyr+1HPVAnwN1/ZmZvAh4wswLw7VkVrQTI3X9iZhcBDwGjwFOBJiQNYaFfN/odsrjo944shMX4e0NtRxbKfLcfLaQrIiIiIiJSIQ3hExERERERqZAKKBERERERkQqpgBIREREREamQCigREREREZEKqYASERERERGpkAooERERERGRCqmAEhERERERqZAKKBERERERkQqpgBIREREREamQCigREREREZEKqYASERERERGpkAooERERERGRCkWCTuBE9fb2+vr164NOQ+SYHn744RF37ws6j9nUdqQR1GPbAbUfqX9qOyInrtL207AF1Pr169m6dWvQaYgck5ntDDqHudR2pBHUY9sBtR+pf2o7Iieu0vajIXwiIiIiIiIVUgElUmfM7NNmdp+ZPWpmXzezmJmtNbMfl7ZvMbN1pWNjZnZjafsjZnZp0PmLiIiILGYqoETqiJn1AsuAt7j764EW4L3AjcDfufv5wF8BXyk95Q+A8dL2dwNfNbP4wmcuIiIisjSogBKpI+4+4u5/7O5uZm1AB/A0cIa7/6B0zG3A2WYWA64Abiht3wvcD1wQTPYiIiIii58KKJE6ZGY3AzuAO4FxYHjOIQeAntK/wVnb9wPLj3C+jWa21cy2Dg/PPZWIiIiIVEoFlEgdcvdfB9YB5wGXUyyUZusDRoAhygum/tK2uefb5O4D7j7Q11d3s9uKiIiINAwVUCJ1xMxeZ2bXALh7AniW4n1Q28zsstIxlwJPuXsWuAW4rrR9BcWC694gchcRERFZChp2HSiRRWo78Ftm9kkgCewB/gfwXeAmM/sskAY+Ujr+y8CNZvYgYMAn3D298Gkvbes/88Oqnv/SFy+fp0xERESk1lRAidQRd08CHz3Crhng4iMcnwGurnVeIiIiIlKkIXwiIiIiIiIVUgElIiIiIiJSIRVQIiIiIiIiFVIBJSIiIiIiUiEVUCIiIiIiIhVSASUiIiIiIlIhTWMuIkL1azmJiIjI0qAeKBERERERkQqpgBIREREREamQCigREREREZEKqYASERERkeNiZp82s/vM7FEz+7qZxYLOSWShqIASERERkYqZWS+wDHiLu78eaAHeG2xWIgtHs/CJiIiISMXcfQT4YwAzawM6gCcDTUpkAakHSkRERESOm5ndDOwA7gSeCTgdkQWjAkpEREREjpu7/zqwDjgPuGbufjPbaGZbzWzr8PDwgucnUisqoERERESkYmb2OjO7BsDdE8CzQOfc49x9k7sPuPtAX1/fAmcpUjsqoERERETkeGwHzi/1Lt0DrAf+PtiURBaOJpEQERERkYq5exL4aNB5iARFPVAiIiIiIiIVUgElIiIiIiJSIRVQIiIiIiIiFVIBJVJnzOwqM7vfzO4xs2+ZWYuZ/YaZPWNmW0r//qR0bMzMbjSz+8zsETO7NOj8RURERBYzTSIhUkfMrBv4NHChuyfN7K+B64Ae4Hfc/fY5T/kDYNzdzzezVcAWMzvb3dMLm7mIiIjI0qAeKJE64u6jwAWlGY6g+CFHkuIUsR8q9T5918w2lPZfAdxQeu5e4H7ggoXNWkRERGTpUA+USJ1x95SZNQF/CcSBrwPdwIPuvsXMLgJuBs6n2DM1OOvp+4Hlc89pZhuBjQBr166tZfoiIiIii5p6oETqjJmtBr4L/NjdP+bueXf/S3ffAlCK683MgCHKC6b+0rYyWg1eREREZH6ogBKpI6Wep5uAje7+o1nb/9DM1pS+HgB2u7sDt1C8RwozWwGcB9y70HmLiIiILBUawidSXy4FzgT+udjBBMAdwH8Am80sDWSAq0v7vgzcaGYPAgZ8QhNIiIiIiNSOCiiROuLutwKrjrL73CMcP7uYEhEREZEa0xA+ERERERGRCqmAEhERERERqZAKKBERERERkQqpgBIREREREamQCigREREREZEKqYASERERERGpkAooERERERGRCqmAEhERERERqZAKKBERERE5bmZ2lZndb2b3mNm3zKwl6JxEFoIKKBERERE5LmbWDXwauMTdLwR2AtcFm5XIwlABJSIiIiLHxd1HgQvcPVnaFAGSx3iKyKKhAkpEREREjpu7p8ysycy+BDQDX5+938w2mtlWM9s6PDwcTJIiNaACSkRERESOm5mtBr4L/NjdP+bu+dn73X2Tuw+4+0BfX18wSYrUQCToBERERESksZhZE3AT8BF33x1wOiILSgWUiIiIiByvS4EzgX82s0Pb7nD3zwWXksjCUAElIiIiIsfF3W8FVgWdh0gQdA+UiIiIiIhIhVRAiYiIiIiIVEgFlIiIiIiISIVUQImIiIiIiFRIBZSIiIiIiEiFVECJ1Bkzu8rM7jeze8zsW2bWYmavNbO7zOwBM/uBmXWVju00s81mdp+ZPWhmrws4fREREZFFTQWUSB0xs27g08Al7n4hsBP4TeCbwO+6+3nAj4BD62z8NbDF3c8vHfePC5+1iIiIyNKhAkqkjrj7KHCBuydLmyJAChhz98dK2/4BuLz09btKj3H3J4ApMztl4TIWERERWVpUQInUGXdPmVmTmX0JaAaeBAZn7c/wy0WwI7OKLYD9wPIFS1ZERERkiVEBJVJnzGw18F3gx+7+MYrF0/JZ++NApvQwWXp8SD8wdIRzbjSzrWa2dXh4uHbJi4iIiCxyKqBE6oiZNQE3ARvd/UcA7v4C0GZmZ5cOu5rifVAAtwIfKT33TKDd3V+ce1533+TuA+4+0NfXV+PvQkRERGTxirzyISKygC4FzgT+2cwObbsD+A3g782sABwErint+yzwDTO7BnDg2gXNVkRERGSJUQElUkfc/VZg1VF2v/kIx48B76lpUiIiIiJymIbwiYiIiIiIVEgFlIiIiIiISIVUQImIiIiIiFRIBZSIiIiIiEiFVECJiIiIiIhUSAWUiIgsWWa23sweCDoPkUZjZh80s2+Z2a6gcxFZaCqgREREROR4DQMfB2JBJyKy0OpqHSgz+yPgvRTzusHdNwWcUkP5n//+DP9w9wtkspANMA8DWqNgIaOnJcavndXPO846iZHpNOes6mRNdwsAD+04yOaHd9PWFGH/eIqn9o2zobedFR1xzlzZwc93jDI6k6a7Nc47zzmJsZksB2fSGEZ3a4yu1ij3PDvCSZ1NXPmGNazpbmH3aIKv3/sC2wen+S9vWstrV3dx5/YhxmaK/yPdrTEuOn354WO37R3nnFWdAIe/PpTfK5n9/EqfIyJ1KW5mXwPOAoaA/8vdU8dzgqX8++C3/vkhfvLUMNEwpPPB5dHXEiKHETa4+IwV/M6vnb7kfhYLyd3vApi16HvNVdLOjnXMfLTTemvr9ZbPUlE3BZSZ/RpwEXA+xffg1x3hmI3ARoC1a9cuZHoN4TuP7GUmyMqpxIHpbPGrZCbNXdtHMDNWdrQA44cb+O1PD/KLwSkS6TwjU2lSuTzDU6O8akUbT+2bZCqZY3QmTVdrnFQ2T1dLnD2jSTBndVcLY4k0w1MZdo4kOG1FO2u6W9i2d5z/2H6Q6UyO7z6yh5AZT+yaZM/4DACru1roaYsdPnZwPA2MAxz+utJfQLOfr19aIg1tPfBed99lZtdT/FT9bw/trORvz1L+fXDHM8MUCLZ4AhhOFIDiG4h7nhvh4jNWLLmfRb2Z7/dth9rZyPQQvW1xCu48tnuct7+6n3M39Bw+5sEXix/QXnhaH3vGkof3H3r+wekDALw4MkUiXeDKN64+/Py5H67euX0Iww5/+Hq0tn60QmY+C5zZ59o/keT2pwdpj0cZncnw93e/QFM0RCKTJ1eAczd08c6zV/LM4CSGHf7QueAFQhbizJXtZf83x1ucHvq/PnT8QzsOcvvTg7xuTSchsyMec7z/F/VcHNZNAQW8HviJux/6Ffy1uQeUeqQ2AQwMDPgC5tYQPvCGVXXZA/Wrp/fy9lf3H+6BOuTtr+5nKpk9rh6o1d3NR+yBOnTec1Z1csHpPWwfnOb9b1jNOas6GZlOs6anGSj2QM0+FsZn5TRelt8refnzRaRBbXf3Q/dx/Ay4cvbOSv72LOXfB5ec0Vd3PVAXntq7JH8W9Wa+37cdamcHpzM8+OIodzwzRFdLlKf3jvPOc1Zx0enL6W2L8/DOMVqiYb69dQ9drXF2DD/PScua6W2L88iuMdriEfaMJnl81zjN8TCbH97D9sEpHMcwDkylDx931zMHSOcLPPjiQU5d0Y4ZdLZEOWdVZ9kb/KMVVvP54cq2veM8s2+KR3aNMZXM8ov9k+ybSOGFAlOpPJniZwiEgF0jMzy+a4yO5jjJbJ7pVJahyTTZXI5YNMwtj+0hEgpx1zNDXH3+hrLv+5o3bzh8vdnFy7E+eL796UG275/m7meHObmvjeeGpplKZ2mJFEuNEyk+6/mDqXoqoB4F/tDMvuTuOTO7FvjGrIJKXsHvve0Mfu9tZwSdRsXO3dBz+BOfI/mN809+xXNc8ZpVZY/XdLfwp+8+p2zbh0u/COZa091S1iCPt3HOfb6INKyTzazH3Q8Cvwo8dbwnWMq/D7569blBpyBLxKF2tns0wY+e3A/uDE+laY62cusT+xidyTCVznLaijYmklne9dqTuP2pIXJuh3uS9o6lCBucuqKd9uYwiXSBlZ3N3Pf8MIMTKVZ2NdEWj9EcCfHQvlFSuTzJTJ49YwlGptOs7mrhVcuLvVFf+umz3P/CCG8+pZc3n9LDI7vGWL4sxm3b9h0uBubjw5Xdowk2P7KbJ/aMs/vgDNFImLNWLWMskSWVzjKTLY7+OaQATGUK7BlLsiydZ1VnC1PJDLFoiEg4Qi4P+QKkcwWGptI8sWuS9pYQP98xRndzhD/7/jZes7qL9niU2cVL8UPpIQ5OZzi9vx2A3rY4t23bx+vWdLJjeJplTRHGp7PsG0+yvKOJRDZ3jA+ui+7cPsQTuyYZmU6XvWer5w+m6qaAcvefmdmbgAfMrAB8W8WTiIgsgIeBvzGzk4FB4E8CzkdEjmFNdwtv2tBDoeC8emUHM+kck8kczw1NkXfoaIrwZ+85gzXdLUwmc9z7/AjjiSydLVEGxxO4G+ee3M0H3rCabXvH6W2Ls288yf7JNIWCcfaqZewcnaE9Hmb/RIHO5gjdbTHW97Syobft8Bv6feNJEpkC+8aTjEynWdnRwmO7x8tuWZiPD1fu3D7E9x7Zw0QqRyabI5WDvaMzfOCNa/jOI3vwbLHrKWJgBtkCRENQcHjLyb1EoiFeu2YZP/vFAXpaIzyxe4KIQSxqdDVHaW8J8fiuCSaSGfaMJnjVinb2jSf51dPbyoqXNd0t9LbFGRxPs31wip62GPe9MMKegyles7aDP3vPOWzZfgDHOaO/42X3vgMcnM5w5/YhLj79l0NsDQMr9v7N/TnX6wdTdVNAAbj7F4AvBJ2HiIgsDe7+EvDOoPMQaVTu3h/EdT/whtWcuuKXb/A3P7Kbf39yEMd5x9krD/dUPbpzlKHxFGOJNO9//Woe2jHKCwemeGjHKKMzGR59aYysO//lTWs5e9UyDs6k2TEyzS8GJ3lucAozGJ3OsKyliYH13YeH6wGcubKdR3eP4RTobYsDcPbqjpfdslCtsZksmVwB3ElnIQ+kcs72wUm6WmMkMim8ACs744zNZAgXHAN+/bx1nN7fQW9bnBvuep7OlhhP7psknXMyeVgWD7Ohr51wKETEYDKZY2VnM8uaI2X3hc12qFdoZDrN4Hia/eOpw8XPmu4Wrn7z+qN+H9v2jvP47nFwo7ctfrg4uuj05fS0xeqyp+lo6qqAEhERERF5JXN7J6bTOfJAPgeOc9u2fTw7NMXT+6eYSmbYOZxgTXcL527o5sUD0zy5d5xEJsfO0RmSGef/PLiTv7zydWzbO84/3buT7QemyOcL5B3CVmDX2Ay9bXE2P7KbB54fZXXPIM/snyaXd3YdLPZAveuclfP+fT604yB3bT9ANGxkCiHW9sY4MJkmFjbyBSjknfamCK9Z1UGmAJ0tMV4cnmFDTzNP7p3g1BXt3P70IMuaY2wfnKQ5akwnneYoNEVCrOiIs7qrmbufHWZ9bwtn9C/jty859Yg9P0eaxOLC03rLJo041nPOWdXJwekMjr+sZ6tee5qORgWUiIiIiDS04sRUOU7qbKKnNX64d8TMwEIQKhYjD+0YZTKZIRQKMZ7IcHJvGy8enCGfd75x/w5et6aTnvYoy6YiJFI5WmIRsnmnORLhmcFJ9o+nSGRzPLEnjTkMT6VY0RE73AM1325/epBENs9MtkBnPEw8FqG33YmHQ2zbO04uBy1NYfZOpDhn1TKeTWY546QO9o4lmMk61/9kO2u7W+lf1kQsEiKdc7rbYpy0LM7r1/XwG+dv4Ct3PEsIozUWPmrxBOWTOhyczjA+k2VsJvuKvU6HnvOuc1Ye89hGogJKRERERBra7ImpDvV6nL16NdPpLHtHU6zraeEvbnua7YNTZLJOLAKJdI7YcuMDb1jNoztHuXf7CPe9cJB1Xc30L2vi+eQ0BYPly+J0NMd4au8kF57WCzhDk2m2vnSQsBnJTIGR6XRNvq+3v7qfwYkU+XyedKbARCZFV1OUwck0ECLvBaZTeVqiudL3lscLzhn9bTy+Z4pkJksinScUAnBSmTwtsTCjM1mGJlLsn0gync7RFAtz3il9x+wJmj2pw53bh8AN59iTK1YyEUQ9T1d+NCqgRERERGTRmD0k7KRlzWzbW+wxeeCFUVJZpwCQh3w6x56xFO6w4+AMozMZWqIR4iFj33iSyVSObL7A2169gulUnsGJJD/atp+2eJQ9YzNkc06q4IxMpSm4c+sTe/nuI3t4/xtWv2yW4BN17oYeRqbT5PPOI7vHaI6GwWBVVxN7xpIALGuOEYuGSGRyjE5nwIzlHXHa4yFy+RDpXJ4dIzNEzOhojjKZzDCRyuKMc8Ndz7Oms4WTOpt5/+tXV/z/ekZ/B7tGE5zR33F4/5EKoUqG59XzdOVHowJKRERERBal2VOfjyUy5At7GU9miYaMnDvNsTBbtg9RKEA+XyATduLREJFwiGwBQrkCk8ksIQuxbzzJWCLLht4WUtkCHBodGDK++8gektkC+ydSfG3LCyxvbzriLHQn4tCalu3NYZ4/MFOcTXAsSVdznJVdTRhOPBohXygwNJkmFoZt+yY5pbeFfMGJhEIsa45ycDqNuxMLGeFQiGQmx86RJGMzaT7zrrOOK8+R6TQtkQi3Pz3IScuaj7nOUyXf39xeqnrvlZr3AsrMrgCS7v6zWduuc/d/mO9riYiIiIi8kjXdLfzOr53G+1//y6nLb396kOcGp9gzlmAmkyOTh1A2RybvrFjWxNBEmkwefv7SKOu6WhlLZmmOhohGwpz/ql7u+MUBQuZk8wUiISMehmjYWNXZxA13Pc9ZJ3UevvaJ2D2a4M7tQ4zNZOlujbGqs5VdB5Pk87Cis5l0rsDqriaeG5phPJmisyXGO8/qZ8tzIzRFQuybSNPd1kzInJ62GPFoiAOTadb2tLCup41te8Z5cWSGFfn4cQ9BPGdVJ4/sGqM5GmHb3vFjrnn1SsXQkXqp6r1Xal4LKDP7CrAciJjZ+e7++dKu/wKogBIRERGRwMwd3vfFHz3FdDrHVDIHXpwe/FXLW3nracv59LceI1uA8Zk0yWyB5e1xOpsjnHdyDwV3fmVdNxPpDKf1tbN7PMHannZa4hHGEjn6O+IkcrkTmpr7UOH01N5JBieS7B1PsaqzmWyhQDwcon9ZE2et6iCXg+1Dk7gXJ5V404YeulqjhCPGnrEUp69o42e/GGI6nef1aztJZAo0R0JkCs7u0WlGJpPkC04ymz3uPNd0t3DNmzccLozm/t/OdiLFUD0vogvz3wP1end/C4CZ3WxmA+6+FeasjCUiIiIiEqA13S2cd3If2/ZMEglnyeTgVb0ttMWjfPeRPazrbWMskSUWhlweMvkCmPEfzw2zazTBG9Z1ct7JvYwl0rjDE3vG6GiK0tEcJRoOs7a7hcf3jPGVO56jJR6iqyVOZ0v0qIvMHnLn9iFue3yQAgXGExl6WmNkCwU6miK8MDzNis4mdh5MMJ3KcuFpfbQ1RXh050EmU1kACgXjTRt6mEpnmUrlSWTyfHvrHno7YvR3NLFjOMFkKkfYYFlzhLNXn9gwuUqnHz+RYuhI566nYX3zXUCFZn39CeBfzewqeIUpOkTkMDP7IHAVcJ67ry1tuwi4CXipdNjT7v5xMzOKi09fAsSBv3b3mxc4ZRERkYZ00enLGZ3J8MNt+2iKhGhrivBMaTa75liIk/s6GU1kGJ5MMzyRYmQyzVQqT2s8xLY9kwys7WXL9gPsOpigqyXKaSs6OHvVMp7YM8bX73mRXN4xMyZTWfraY+AhpjNZzj+lFzjy8L7xRJZUPkc27/Qva6a9KcJpKzq4a/sBDk6n+dG2/azpbmFddyuP7R5naCLF7tEkO0b20NMaoS0eZ2QmTVM0THtzmEwuz0ymQGY8TTZbIFcokM0VWNnTxEVn9vP2V9d2LeT5Wuepnob1zXcB9X/M7MfAe9x93Mw+BXwHWDPP1xFZzIaBjwNPztq2AfiCu2+ac+x/AU4FzgPagQfM7A53378gmYqIiDSwNd0t/O6lp/HmU3q4/elB2uNRRmcy7BmbYX1vG0/tnSAeCZPK5phJFyAEXS0R3Iw3behi32SCWAiiEaOtKcKVb1zNj57cx23bBsnkCnQ0hwmFQoQMZtJ5plNpwqEQj+waJZ3L89zQNB94w+rDBcHu0QR7xxKc1NFMKATNkSjhMLTHo5zU2cSu0QRh8iQyOdLZPM/tn2JkJk0uD1l3RhM52ptimDvPD02TzhY4qauZwdEEiZzTFDFCFmYqnKevo4n/5/KzAv4JVK6ehvXNawHl7v8/M/sZcCXwr+7+lJn9Z+A/zed1RBYzd78LKC7+90vrgVNL7SkNfMbdHwOuADa5uwOTZvZt4F3AjQuZs4iISCM7tI7UoWFi1606mTu3D7FvNMl4KsNYIoNTHGrV1Rrh/FetIJXNMz6do6c9zmgyR/+yOP90/0vc99xBUtkCYYO1nS2k8wWm08WCp705AjjRUIjHdo2zdzyJGewdS9DWFGU6lS31HEV5+6v7eWZwkpdGZnh410Fa4hFOXd7K7tEETeEQLx6cJmwhzJyTOuPkck4qVyzSxpIZ9o2lMCCVLZBz6GiKEI9FyWdzLGuK0N1am8V/j1elQ/PmqydrPsz7LHzu/rSZbTSzS4E/A/4nsHO+ryOyxLwEPOXu3zKzM4HvmdmrgR5gcNZx+ylO5CIiIiLHafab9ItPX0FvW5x/eWAn8XCYJHlaoiEiFiGVzTOdzlJwY3AixUw6z893jLO8Iw7kiYZhRXsMC4dojYSZSueJR8MkMgXW9rSQzxcYS2TobomxfXCSn780SjJTYFVnE5FwiF87cznfuG8Hz+2fYiaboykaIe8Fkuk8mXyByVSO5miY5ji0RKJgTmtzmEguxOBYkkSuQMggX4BcwXGHRCbHeCJDX3sTJ3WEuOb8DcH+Z5fU09C8StVkHSh3/29m9jvADuBad/+nWlxHZKlw93+c9fUvzGwCWAkMUV4w9XOEDyzMbCOwEWDt2rW1TVZERGQROFRMFdz52pYXWLHMSWbzrOhqAqCvNU4yV2DnwTzDUynaokY80sy67lZ2jCaYSOQ4ODNBKBTi7a9ewdadY4wnsyQHJ+lqjnL2qk5eu6aLZ4cmSWZyJNPOM0MzLIvDTfcmiEdDTKfzxENhIEfeKU5qEQkRosBUqkBve4zl7TGeHZqiORKivSVGd2uU/EyGmZQTjxZHtETCELIQY4kc0UiWK994Mudu6An2P7jkRIbmBT2hRE0KKDP7M+Bc4ELgc2bW7O431OJaIkuBmf0m8KC7P2Fm64BOir1NtwD/FfipmbUAHwDePvf5pXunNgEMDAxoUhcREZEKXfGaVbx2dRd3bh/CMBxneCpDMpujNWy8NJLAHdyMjqYoLxyYIpnOky6utUs84uybSBENh/ACJDJOUyTPSyNThCjeP9UUizCTLs6iN5GGeDhPIp1nVWecgjuJbAF3p70pQiRkTGcKWCjEwaksM5k8uVyBWEuMi89YQcGdf3lgJwUKzGShKZxnQ08zY6kc2Uye9b2tXHR6/QxWmTs0r5LiKOheq5oUUEASuNzd3czeCfx5ja4jslQ8BPydmYWAAvBhd8+Z2WbgzWa2leJsl1/UBBIiItJIgu5NqMSa7hY+/ObikLfZ+X7xR0/j7uDQHA3zwoEZUvkCDsTDxQKqty3G6q5mVnW1kEjniIRD5ApOMuu8eHCGWCREeyzMMNnD18vkIWwwOJkmVyj+gY+G4eTeVppiEaZTWSZTOXra4kwmMuQxTu5tO7xQ8KrOZkami+fL5mE4kaOrOUpbRzO/dsaKuv1/3j2a4Bv376A5WixRjpZn0BNK1GoI31/O+joH/GEtriOymLl7/6yvH6fYozv3GAf++0LmJSIiMp+C7k04XrN7TE7v7+CpfZPk8gU6mmLMpDMsb2lmTVdxuN2GnhZa4zFm0nlO7mvnYxedyuhMhsd2j7H74DSxSJizVnXwwIujtMdCTGUKhCkWTDkvrj91SAQ4OJNhZTRMb1uM37n0NJa3N/G/fvos0RCcuqKdLdsPcHAmTXdLlAiQAzCIGIwls5zW315XvU9zbds7TkskQiJ77EWIT2RCifks1GvVAyUictzWf+aHJ/zcl754+TxmIiIiCyXo3oRqvP/1q+lqiTE6k8FxQma4w77xJJOpHGMzaZLZNIV8gZ0HE7x6ZTtP7J4glc3T1Rpj/3iKu58b4aT2GMNTKSIUh/S1xsIcTOQOL6QaotibNZHIMpXMEY2E+OqdL/Cn7zmL/3bpadz+9CBm8PjucWbSOSZSOVqbjFweBtZ3ki1ANBTiTSf31HWReug1UIveyPks1FVAiYiIiEhg6ml66uO1pruFq9+8vmzbbdv2kc87kOKM/nYmUxnueW6EZU1Rnj8wzb6JFOlsnoPTaZI5J1eAiWSGSMgohJxlzRFO6momPJo8PAwvGoZIKIQXCsyUuqam90+x+eE9nLWqg227x9k7lqCvo4lMrkAqW6CzOUYoHOJVKzp4x1knMTKdrvsitZavhfks1OuygCpNQjHo7l8LOhcRERERKWdmVwGfAsLAFnfXcPKSQ2/QL2jrZWQ6zbNDU5zU3kTWnfVdrTyzf5JsHkI4hULxOaksxEJOR3OEVLbA47smMYqFU74A6Ty4F4iEf3mdPPCzXwzyyM4RXhxOETJIZAu0REJ4aX8imeHWJ/Yzncrz25ec2rCF6nyYz+IsNC9nEREREZEloTQb7OeBtwEDwGozuzLYrOrHmu4W3nXOSkam0wyOp9k/nqKvo4l3nn0S56xaRndLE21NYXo6mtjQ28KhmihTgGw2x3gqT4FiAZTKQ7Y4RwXpAsxky681MpPjueEUeYrHpTM5sg4dLTHa4xFy+QLJdJbJRJZte8cX8r9hUaubHigzux64ANgDZClfHFRE5JiquX9Klq7SzJZfofgmMA/8prs/GWxWInXvMmCzu08AmNkNwEeAzYFmVWcODRk7e/XqsuFzO0am2T44zekr2nh8zwSru+LsGksTNpjKnPj1IkDeYTqdo705wun9bSQyeVqjYU5f2V73w/caSV0UUGb2LuBVwHkUe8W+X835Kp1l49BxvW1xfvLUIA+8MEJHc5Q13c0MT6YZT2WZSeSIhCAej3BKXys/eXKIqUyBXz21i/FEjsf3TlWTak0cmnUlRPETi0oW/QkD7U0GZoSBpliEt5/Vz0sj00yk8lx7wQaueM2qGmYtIhKIVorDjz5uZm8FPgp8spYX3D2aOLyeTN4LfOuhXWTzzuvWdTGTyvLE3kmaQk48HmNtdxODE2me3T9JHnjThi6e2T/F0HSuliketzDF6hMgbpCucLW5jpjRFAszk86RL8CZqzo4pbeVB3eM8YE3rOL33nbGUZ+7ezTBlu0HGJ0pvuPsao1yRn8HI9NpetviZfHQ+4FD//djM1kmUxme3j/JZCLDup422psi9C9r4ucvjdHVEgGM/mXNrOtp4Yz+Dp4ZnGQ8kaXgxYkCOluiXHx6cTroW5/Yy/954CXOXNnJb5xfnOr60HUAultjXHT68sM5HHqPAhz3rGB1MuV3D+UfdO+nfFF34ehDxn5lfQ/tsRh3bB9iIpEhmc1z5kmtjM1kmUhkSOWhMKsNGUd+LxcxiISLM/VFwkY4ZBQKBdwhl3Xa4lHWdLXS2RbltBXtS3r43nyriwIKOAu4qzQlc97Mfn6kg8xsI7ARYO3atUc9WaWzbBw67pFdY9y9/QB7x1OEQsaLIzPk885UOgdeHJ/aGo/w3NA005niYNV7nx/D63Q50kN/VgvH8Zw8MJ76ZbkVTWf4/uP7MSBXcL77yB4VUCKyGEWBt5vZbwMx4Jm5B1T6t6dS2/aO88SuSTDnmcFJXjqYJJcvMJXOk8zkmEnnKTg0RbPsGU2QzhVIlX6x3/v8GLk6/Nsza6bliosngMmMM5n5ZTH49L4pnhucxjG+88jeYxZQ2/aO8/jucfaMJQBY3dnKrtEEKztaeGTXWFk89H7g0P/9nvEZRqYzDE6mKBScvWNp1va2cN8LB8nl4clMls7mGM8OTvHa1d3sGk0wPp1j9/gM5oabs6azld62OGu6W/juI3vYMZJkeCrDG9d1ARy+DsDqrhZ62mKHczj0HgU47lnB6mTK7yFgw6zH/aVtZea77SwW56zq5JFdY5ze3859z48QMiMWifDxi9fz4sgUj++eIJnKsG8iCRamtyXCwUSOWNiIRUJ0NEfIFYxoGM5Y0cFoIkM678TDxshUmpGZDBe/uo93nr2SZwYnMUy9T/OsXgqoJ4DfMbP/RfEP2MXAv849yN03AZsABgYGjvorutJZNn7ZtdqBO8fVA/WWVy2tHqj3v2F1DTMWEQnMh4EZd3+rmV0KXD33gEr/9lTqnFWdjEynMYyzV3eoB2p2D9TK9rIeqGM5Z1UnB6czh4uI2T1QZ68uj7OnRh6ZTrOmp/mEeqDW9jaX9UAdOu/737CaZKbYA3Vo26HrQLEHanYO5e9Rjm9WsDqZ8vs24Kdm9pfuPgVcC3xv7kHz3XYWizXdLVzz5g1s2zvOxWcs555nh1nV1cJFpy8/PKPf3J7KQ73Wh3oy5x6zpruFh3Yc5PanB3n7q/s5d0MPwOEo88u8TrpRzOwvKN6MOAo8DzxxrFn4BgYGfOvWrQuVnsgJMbOH3X0g6Dxmq+e2s1TvY9IaVi+3UG3HzE4FvgkMA7cDv+ru7z3a8fXcfkRgQdvOr1OchS8D3OPunzrW8Wo70ggqbT/10gOFu//fwP8ddB4iIrJ0uPtzwBtnbfrboHIRaSTufjNwc9B5iARB05iLiIiIiIhUSAWUiIiIiIhIhVRAiYiIiIiIVEgFlIiIiIiISIVUQImIiIiIiFRIBZSIiIiIiEiFVECJiIiIiIhUSAWUiIiIiIhIhVRAiYiIiIiIVEgFlIiIiIiISIVUQImIiIiIiFRIBZRInTGzD5rZt8xs16xta83sx2Z2n5ltMbN1pe0xM7uxtP0RM7s0uMxFREREFj8VUCL1Zxj4OBCbte1G4O/c/Xzgr4CvlLb/ATBe2v5u4KtmFl/IZEVERESWEhVQInXG3e9y95FDj82sBTjD3X9Q2n8bcLaZxYArgBtK2/cC9wMXLHzWIiIiIkuDCiiR+tdJsVdqtgNAT+nf4Kzt+4HlC5OWiIiIyNKjAkqk/o1QLJRm6yttH6K8YOovbStjZhvNbKuZbR0enluLiYiIiEilVECJ1Dl3zwDbzOwygNJEEU+5exa4BbiutH0FcB5w7xHOscndB9x9oK+vb+GSFxEREVlkIkEnICIV+QRwk5l9FkgDHylt/zJwo5k9CBjwCXdPB5SjiIiIyKKnAkqkTrl7/6yvdwIXH+GYDHD1QuYlIiIispRpCJ+IiIiIVMzM4mb2O2Z2t5n9a9D5iCw0FVAiIiIicjxywDPAX1AcPi6ypKiAEhEREZGKuXve3W8HkkHnIhIE3QMlIiIiIi9jZpcAf3KEXR9y98EjbJ/7/I3ARoC1a9fOc3YiwVEBJSIiIiIv4+53AHdU8fxNwCaAgYEBn6+8RIKmIXwiIiIiIiIVUgElIiIiIiJSIQ3hExEREZHj5u5bgC0BpyGy4NQDJSIiIiIiUiEVUCIiIiIiIhVSASUiIiIiIlIhFVAiIiIiIiIVUgElIiIiIiJSIRVQIiIiIiIiFVIBJSIiIiIiUiEVUCIiIiIiIhVSASUiIiIiIlIhFVAiIiIiIiIVUgElIiIiIiJSIRVQIiIiIiIiFYoEnYCILC7rP/PDoFMQERERqRkVUCINxMxuAs4AUqVNfws8BmwCOoAMcI277wwiPxEREZHFTgWUSGNZC1zk7ocKKMzs34Evu/sPzOxdwFeAdweVoIiIiMhipnugRBpLJ/A1M7vbzL5iZi3AGe7+AwB3vw0428xiQSYpIiIislipgBJpLFuBz7r7W4Fh4O9KcbYDQM9CJyYiIiKyFKiAEmkg7r7R3XeXHv4bsJ6XF0t9wMjsDWa20cy2mtnW4eG59ZaIiIiIVEoFlEiDMLNmM/v8rOF576TYI7XNzC4rHXMp8JS7Z2c/1903ufuAuw/09fUtbOIiIrLomNmfm9l9ZvZzM/ts0PmILCRNIiHSINw9aWYjwENmNgHsBT4KdAM3lf6ApYGPBJimiIgscmZ2OdDv7uebWRi418xucfcngs5NZCGogBJpIO7+JeBLczZPARcHkI6IiCxB7v5DM/vprE0hfrm8hsiipwJKRCRg1Sw+/NIXL5/HTEREfsnMLgH+5Ai7PuTug2a2iuI6hJvc/dkjPH8jsBFg7dq1Nc1VZCGpgBIRERGRl3H3O4A7jrTPzC4CPgX8vrtvP8rzN1EssBgYGPDaZCmy8FRAiYiIiEjFzOwM4PeBD7h7Juh8RBaaCigREREROR7XAacAt5vZoW1/6+7fDy4lkYWjAkpEREREKubun6I4fE9kSdI6UCIiIiIiIhVSASUiIiIiIlIhFVAiIiIiIiIVUgElIiIiIiJSIRVQIiIiIiIiFVIBJSIiIiIiUiEVUCIiIiIiIhVSASUiIiIiIlIhLaQrItLA1n/mh1U9/6UvXj5PmYiIiCwN6oESERERERGpkAooERERERGRCqmAEhERERERqZAKKBERERERkQqpgBIREREREamQCigREREREZEKaRpzESlT7bTY0liq+XlrCnQREVmK1AMlIiIiIiJSIRVQIouAmV1lZg+Z2cNmdn3Q+YiIiIgsViqgRBqcma0DPg+8DRgAVpvZlcFmJSIiIrI46R4okcZ3GbDZ3ScAzOwG4CPA5kCzkkVP90+JiMhSZO4edA4nxMyGgZ1VnKIXGJmndOrBYvt+YHF8T+vcva+WFzCzPwKm3f3LpcdnAv/L3d8x65iNwMbSw9OB7VVccjH8XGZbbN8PLI7vqeZt50RU+bdnMfxc5lps39Ni+H4WY9uBxfGzmW2xfT+wOL6nitpPw/ZAVfvLwcy2uvvAfOUTtMX2/cDi/J5qZAjYMOtxf2nbYe6+Cdg0HxdbbD+Xxfb9wOL8nupFNX97FuPPZbF9T4vt+6knet9WbrF9P7A4v6ej0T1QIo3vNuD9ZtZeenwtcEuA+YiIiIgsWg3bAyUiRe6+38y+ANxtZhngHnfX/U8iIiIiNbCUC6h5Gc5URxbb9wOL83uqCXe/Gbh5gS632H4ui+37gcX5PS0Gi/Hnsti+p8X2/Swmi+1ns9i+H1ic39MRNewkEiIiIiIiIgtN90CJiIiIiIhUaEkXUGb252Z2n5n93Mw+G3Q+J8rMrjKzh8zsYTO7Puh8qlX6fu43s3vM7Ftm1hJ0TlJObad+qf3UN7Wd+qW2U//UfurTUmw7S7aAMrPLgX53Px84D7jczF4TcFrHzczWAZ8H3gYMAKvN7MpgszpxZtYNfBq4xN0vpLhmxHXBZiWzqe3UL7Wf+qa2U7/Uduqf2k99WqptZ8kWUO7+Q+DjszaFgFRA6VTjMmCzu0948Ya2G4D3BZvSiXP3UeACd0+WNkWA5DGeIgtMbad+qf3UN7Wd+qW2U//UfurTUm07i34WPjO7BPiTI+z6kLsPmtkqirOGbHL3Zxc2u3nRAwzOerwfWB5QLvPC3VNm1gT8JRAHvh5wSkuS2k5jUvsJntpOY1LbqQ9qP41nKbadRV9AufsdwB1H2mdmFwGfAn7f3bcvYFrzaQjYMOtxf2lbwzKz1cDfA1929x8Fnc9SpbbTmNR+gqe205jUduqD2k/jWYptZ8lOY25mZwB/BXzQ3TNB53OizOwk4KfAee4+ZWb/DHyvURdSLX2CcSvwEXffHXQ+8nJqO/VL7ae+qe3UL7Wd+qf2U5+WattZ9D1Qx3AdcApwu5kd2va37v794FI6fu6+38y+ANxtZhngnkZthCWXAmcC/zzr53KHu38uuJRkDrWd+qX2U9/UduqX2k79U/upT0uy7SzZHigREREREZHjtWRn4RMRERERETleKqBEREREREQqpAJKRERERESkQiqgREREREREKqQCSkREREREpEIqoERERERERCqkAkpERERERKRCKqBEREREREQqpAJKRERERESkQiqgREREREREKqQCSkREREREpEIqoERERERERCoUCTqBE9Xb2+vr168POg2RY3r44YdH3L0v6DxmU9uRRlCPbQfUfqT+qe2InLhK20/DFlDr169n69atQachckxmtjPoHOZS25FGUI9tB9R+pP6p7YicuErbj4bwiYiIiIiIVEgFlIiIiIiISIVUQImIiIiIiFRIBZSIiIiIiEiFGnYSCRERkbnM7CbgDCBV2vS3wGPAJqADyADXuPtOM4sBXwXOBJqAT7v7Txc6ZxERaSwqoEREgN2jCbbtHeecVZ2s6W4JOh05cWuBi9z9UAGFmf078GV3/4GZvQv4CvBu4A+AcXc/38xWAVvM7Gx3TweSuYiINAQN4RMRAbbtHWdwPM22veNBpyLV6QS+ZmZ3m9lXzKwFOMPdfwDg7rcBZ5d6n64Abiht3wvcD1wQTNoiItIo1AMlIgKcs6oTGC9FaWBbgc+7+24z+1Pg74DhOcccAHpK/wZnbd8PLF+QLGVBrf/MD4NOYV699MXLg05BZElTD5SICLCmu4V3nbNSw/canLtvdPfdpYf/BqynWCjN1geMAEOUF0z9pW1lzGyjmW01s63Dw3NrMZHFx8w+aGbfMrNdR9l/lZk9ZGYPm9n1C52fSNDUAyUiIouCmTUDf0SxByoDvJNij9SMmV3m7j82s0uBp9w9a2a3ANcBnzGzFcB5wMa553X3TRQnoWBgYMCPdn31csgiMgx8HHhy7g4zWwd8HjgXmAS+aWZXuvvmhU1RJDh1VUCZ2R8B76WY1w2lP1rHbfYfMf0BkFrR60ykvrh70sxGgIfMbALYC3wU6AZuMrPPAmngI6WnfBm40cweBAz4hCaQEAF3vwvAzI60+zJgs7tPlI65gWKbOuEC6qEdB7n96UHe/up+zt0wt8NYpP7UTQFlZr8GXAScT/EP2XVHOGYjpU8H165du5DpiYhIA3D3LwFfmrN5Crj4CMdmgKsXIi+RRaTiewcrfd/2p999nOeHk9y7fYgf/f4l85iqyC/N52y79XQP1OuBn7h73t1z7v61uQe4+yZ3H3D3gb6+vgBSFBEREVnSKrp3ECp/3/bSWIqsF6NIrXznkT38030v8Z1H9lR9rrrpgQIeBf7QzL7k7jkzuxb4hrvnj/dEGk4lC0GvMxERWYJuA35qZn/p7lPAtcD3qjlhezREMpunPVpPn+vLYvMv973AcKLAC0MT/O6lp1V1rrp5pbr7z4AtwANm9hDQeyLFk4iIiIjMLzP7ppm9zt33A18A7i7dPzhU7QQSBQthpShSK8OJQlmsRj31QOHuX6DYKEVEREQkQO7eP+vrD836+mbg5vm6TjaXxUtRpFbiBmkvxmqp1BcRERGRwEyly6NILXS2RcpiNVRAiYiIiEhgfE4UqYWDU7myWA0VUCIiIiISmNZYeRSphfycWA0VUCKLgJl92szuM7NHzezrZqY/Q8dp92iC27btY/doIuhURESWlI6mCFaKIrXSGimP1VABJdLgzKwXWAa8xd1fD7QA7w02q8azbe84g+Nptu0dDzoVEZElJZ0t4KUoUisWCpXFaqjUF2lw7j4C/DGAmbUBHcCTgSbVgM5Z1QmMl6KIiCyUmUyhLIrUQns8zEymQHs8XPW51AMlskiY2c3ADuBO4Jk5+zaa2VYz2zo8PBxIfiIiIkeSzZdHkVpY29NCOFSM1VIBJbJIuPuvA+uA84Br5uzb5O4D7j7Q19cXSH71TkP4RESCMZ8394sczfPD0+QKxVgtFVAiDc7MXmdm1wC4ewJ4FugMNKkGdM6qTvo74xrCJyKywJY1WVkUqYV8wfFSrJbugRJpfNuB3zKzTwJJYA/wP4JNqfGs6W5hTXf13foiInJ8lrc3M51OsLy9OehUZBE7aVkT06kEJy1rqvpcKqBEGpy7J4GPBp2HiIjIiZhIZnAvRpFamUjmyHoxVktD+ERE0DpQIiJB6WuPEwoVo0itHJjIlMVqqIASEQG2bD/AHb84wJbtB4JORURkSUmncxQKxShSK83R8lgNFVAiIsDoTIY9YwlGZzSERERkIQ0nchRKUaRWUvnyWA0VUCIiIiISmOVtMUKlKFIrh9Zpno/1mlVAiYgAXa1RVne20tU6D337IiJSsdXdLXS3RlmtmVClhmJWHquhWfhERICLT19Bb5vWgRIRWWh9HU1EBqfo66h+emmRo8l4eayGeqBERICfPTPI/77zeX72zGDQqYiILCm7RqaZSeXYNTIddCoiFVEBJSICfHvrHoYm03x7656gUxERWVJGE1ky+QKjiWzQqcgidkpPvCxWQwWUiAjwwYHVrOiI88GB1UGnIiKypETCRt6LUaRWBjb08ZpVyxjY0Ff1uXQPlIgI8Bvnn8xvnH9y0GmIiCw5EzMZCoViFKmVK9+4mtufHuTtr+6v+lzqgRIRERGRwCSyBQqlKFIrJy1r5g1ruzhpWXPV51IBJSIC7B5NcNu2feweTQSdiojIklLI5cuiSC1855E9/NN9L/GdR6q/11kFlIgIcOf2Ie54epg7tw8FnYpUycw+a2ZbSl+/1szuMrMHzOwHZtZV2t5pZpvN7D4ze9DMXhdkziL1xsyuMrOHzOxhM7t+zr6wmX2p1K4eMrOvmtkJL6KXLpRHkVq49bE9PLRjjFsfUwElIjIvxhNZdo/PMK5ZoBqamQ0AG0pfG/BN4Hfd/TzgR8DnSof+NbDF3c8HfhP4xwDSFalLZrYO+DzwNmAAWG1mV8465F3AKnc/z93PBVYA7zvR64VC5VGkFl46mKRQitXSS1VEBCi4Y24UfB5W2JNAmFkz8D+Bz5Q2nQaMuftjpcf/AFxe+vpdpce4+xPAlJmdsnDZitS1y4DN7j7h7g7cQHmBtAeImFnIzEJAFnj6RC/W1RwlVIoitdIctbJYDc3CJyIChMxwc0KmaXQb2F8DX3L3A8XOJ3qAwysju3vGzA793Yu4++yPIfcDy4EX5p7UzDYCGwHWrl1bo9RF6kpZ2+GX7QMAd3/UzO4CvljatMXdn5p7kkrbTkssAmRLUaQ2QiEDvBSrPFf16YiINL7OlihrOlvpbNEnoI3IzN4BdLn7t2dtHmLWmz4ziwOH5klOlh4f0l86/mXcfZO7D7j7QF9f9euHiDSAsrbDnPZhZh8GYu7+aXf/NNBuZtfOPUmlbWcyky+LIrXQGgsTKsVqqYASEQHO6O+gsy3CGf0dQaciJ+YKoM/Mvmdm3wPOBv4UaDOzs0vHXE3xPiiAW4GPAJjZmUC7u7+4sCmL1K3bgPebWXvp8bXALbP2n0X5KKYYcOqJXqy7KUzYilGkVpa1xAiHirFa6isVEQGeGZxkfDrHM4OTnLuhJ+h05Di5+ydnPzazLe7+4dLsen9vZgXgIHBN6ZDPAt8ws2sAp/gGUUQAd99vZl8A7jazDHCPu28uzW75IeB6iu3qPoofxu+jOBnLCcm5k/diFKmViWSWXKEYq6UCSkSEX87Ct7a3+gX2JHjuflEpPga8+Qj7x4D3LGxWIo3D3W8Gbp6z7aJZD987X9faM5qiUIoitTI2k8FLsVoawieyCJTW67jfzO4xs2+ZWUvQOTUad7BSFBGRhdPaFMFKUaRWCl4eq6ECSqTBmVk38GngEne/ENgJXBdsVo1nPJnm4FSG8WQ66FRERJaUd792Jd2tUd792pVBpyKLWCxUHquhAkqkwbn7KHDBrCmZI0D1q8QtMTtHEowlM+wcSQSdiojIkrLzYAIrRZFayZeWKcnPw3IlKqBEFgF3T5lZk5l9CWgGvj57v5ltNLOtZrZ1eHg4mCTrXHMsTGssQvM8TG8qIiKV231whqlUlt0HZ4JORRaxntZoWayGCiiRRcDMVgPfBX7s7h9z97LFNLSOzSv7lQ3dtDdH+JUN3UGnIiKypKSzOdL5YhSplfamKC3REO1N1RdQultPpMGZWRNwE/ARd98dcDoN6xf7JgmFjF/smww6FRGRJWUilS+LIrUQCYVIZwtEQtX3H6mAEml8lwJnAv9svxzXe4e7fy64lBrP0GSa54em6Z6HBfZERKRyy5qjTKbTLGuuvmdA5Gh2jyXxUqyWCiiRBufutwKrgs6j0e0YmaLgzo6RqaBTERFZUgruWCmK1EpXU5jxRI6upurvddY9UCIiwFkrO2mKhDlrZWfQqYiILCnDExkKpShSK33LmmmNhehb1lz1udQDJSICnN7fwehMhtP7O4JORURkSUnPiSK1MJnMkswVmExmqz6XeqBEREREJDChOVGkFvaMJ8kVirFaeq2KiABdrVFWd7bSNQ/rQ4iISOU29MTLokgtpNKFslgNDeETEQEuPn0FvW1xzlnVGXQqIiJLSgGjKWIUsFc+WOQEtcSMTNppiVX/OlMBJSICrOluYU13S9BpiIgsOeZOKueYZuGTGopEIlg6SyRSffmjIXwiIiIiEpi94+myKFILq7qaiIeLsVrqgRIRAXaPJti2d5xzVnWqJ0pERGSReeO6bhLpAm9c1131uVRAiYgA2/aOMzieBsZVQImILKBIGNKFYhSplcHJJAem0gxOahY+EZF50dsWZ99kgt62hZkFavdogtu27WP3aGJBriciUq/CoVBZFKmFX+ybJJ3L84t9k1WfS69UERFgZDrNyo4WRqYXZgz+dx7Zwz/d9xLfeWTPglxPRKRetcXDWCmK1Mq6nhbMjHU91Y8yUQElIsLC90Dd/+IwT+6b5P4XhxfkeiIi9ao1HiVkxShSKxPJHO7ORDJX9blUQImIsPA9UPvHkyTTefbPw4roIiKNbDKVxb0YRWpl33iSTM7ZNw9/d1VAiYiw8D1QqWyBfCmKiCxlxUV0i1GkVlZ2NRONGCu7mqs+lwooERHgmcFJxqdzPDNY/c2llZgpfdI6o09cRWSJOzSkaj6GVokcTSFfIJtzCvnqP7hUASUiAozNZNkzPsPYzMIUNNPZ8igiUk/M7Coze8jMHjaz64+w/xwz+4mZ3WFmt5rZmhO+1pwoUgvbB6cplGK1VECJiIiIyGFmtg74PPA2YABYbWZXztofBr4C/F/ufgnwMWDsRK/X3hwtiyK10NsaI1SK1VIBJSICdLfGWN3VQvc8/GIVEWlwlwGb3X3C3R24AXjfrP2/AuwHvmBm/0GxgDrhO/MTmTxWiiK1ct1Fp/Dqle1cd9EpVZ9LBZSICHDR6cu55MzlXHT68qBTkRNkZp82s/vM7FEz+7qZxcxsrZn9uLR9S+mTdUr7bixtf8TMLg06f5E60gMMznq8H5j9y3Et8Gbgc8BbS4+vmXsSM9toZlvNbOvw8NGXbGiNh0vTmGsdKKmdp/ZNMjKd4SktpCsiMj/WdLfwrnNWsqa7+gX2ZOGZWS+wDHiLu78eaAHeC9wI/J27nw/8FcVhRwB/AIyXtr8b+KqZLcwUjCL1b4jygqm/tO2QceAud9/t7gXg34A3zj2Ju29y9wF3H+jr6zvqxU7ubSUaMU7ubZ2X5EWO5L7nhjk4nea+56pff1EFlEiDM7MPmtm3zGxX0LmIBMXdR9z9j93dzawN6ACeBs5w9x+UjrkNONvMYsAVFIcl4e57gfuBC4LJXqTu3Aa838zaS4+vBW6Ztf9+4DWlDy4A3gE8dqIXe3F4hmzWeXF45kRPIfKKljVH8VKslgookcY3DHwc0M07suSZ2c3ADuBOip+Sz/2o8QDF4UmvNERp9jkrGoYksli4+37gC8DdZvYgMOTum0vDYPvdfQr4PeC7ZnYfEAf+8USvl8k7WCmK1MiKjiY6m6Os6Giq+lyRechHRALk7ncBmGkCWBF3/3UzawH+GZigWCjN1geM8MshSocGw88dojT7nJuATQADAwN6hydLgrvfDNw8Z9tFs76+E7hwPq61pquJkekMa7qqf2MrcjTNsQi5vNMcq778UQ+UyBKgT9BlsTOz15nZNQDungCepXgf1DYzu6x0zKXAU+6epTgc6brS9hXAecC9QeQustTNZJ1o2JjJ6vMJqZ2dB2fI5AvsPFj9UFEVUCJLQKU38oo0sO3A+aUPCu4B1gN/D3wC+EMzuxf4I+C3S8d/GVhVGp70A+AT7p5e+LRFJGpOoeBETQWU1E4qmyWVLZDKVr+CvYbwiYhIw3P3JPDRI+yaAS4+wvEZ4Opa5yUir2x1TxujyRyre9qCTkUWsYPTWQqlWC31QImIALc+sZf/etOD3PrE3qBTERFZUk7pa8W9GEVqJRwOYaVYLRVQIouEu/cHnUMj+/p/7ODhneN8/T92BJ2KiMiS8sPH9zI0keKHj+sDLKmdNV3NhKwYq6UCSkQEWNYUJhIyljWFg05FRGRJGU/myBaKUaRWXhyeJu/FWC0VUCIiwPreNrwURURk4eTzebwURWplOu1lsRrzXkCZ2RvNrKf09VvN7D3zfQ0Rkfl2+1ODTCaz3P7U4CsfLCIi82Ys5WVRpBaaI+WxGvM6C5+Z/Tnwq0DOzP4B+C1gp5ld6u6/M5/XEhGZT6lMcQhJKqMhJCIiCykEFNCwKKmtnrYoM+NZetqiVZ9rvqcxvxx4PdALPAGc4e4TpfU3RETqVn5OFBGRhdHbGubATJ7eVt2DKrUzmS6UxWrMd7E/7UXDwDPuPlHarvWmRKSuxUrTmsbmYXpTERGp3Ia+dmKhYhSplYgZVorVmu93Cg+Y2e8BuPvFAGZ2OfDiPF9HRGReFdzLooiILIwXDkySLRSjSK2csryVSKgYqzXfBdQfAD80s/88a1sK2DbP1xERmVfjM/myKCIiCyOdd7wURWpl72iSfKEYqzWvBVRp+N6zwJvM7EYzW0NxIome+byOiMh8y82JIiKyMMJYWRSphfFUhkIpVqsmg/3d/b8BjwM7gO+7+3+vxXVEREREpLGl84WyKFIL3S2xsliNmhRQZvZnwGXAhcDVZvbRWlxHRERERBrb8vY4EStGkVppa4rSEg3R1lT9NOa1mm4qCVzu7vcD7wROrtF1RERERKSBre9tKYsitbC8o7ksVqMm04u7+1/O+joH/GEtriMiIiIije3JfdNYyHhy33TQqcgidmAyWRaroQVPRERERCQwZ69swwvO2Svbgk5FFrHpVI5EtsB0qvrpolRAiYiIiEhgRmZyxCIhRmY0D6rUzngyUxaroQJKRERERAJzYCJBIlvgwEQi6FRkEVve0UyI+bkHSgWUiIiIiAQmnSuURZFaiIQgbMVYLRVQIiJwePlGLeMoIgJmdpWZPWRmD5vZ9cc47kYzu6maa/mcKFIL0+k8bsVYLRVQIiJAeE4UEVmqzGwd8HngbcAAsNrMrjzCce8Dql6VNFbqEojNR9eAyFGc/6peettinP+q3qrPpVeqiAiQmxNrTT1eIlLHLgM2u/uEuztwA/C+2QeY2QrgU8CfV3sxw7BSFKmVQqE4A1+hUP1QURVQIotApUMt5Ogic2KtNUXKo4hIHekBBmc93g8sn3PMDRQLqFS1F8tkcngpitTKLY/uZzpT4JZH91d9LhVQIg2u0qEWcmyxSHmstXSuPIqI1JEhygum/tI2AMzso8DT7v7AsU5iZhvNbKuZbR0eHj7qcdPZ8ihSCzkvj9VQASXS+F5xqIW8skSuPNbaO87qIx4uRhGROnMb8H4zay89vha4Zdb+dwCvNbPvAZuAS8zsb+aexN03ufuAuw/09R39d92KjkhZFKmF9lh5rIZeqSKN7xWHWpjZRmAjwNq1axcuMzmqr159btApiIgckbvvN7MvAHebWQa4x903m9kW4EPu/oFDx5rZeuDP3P1TJ3q9163tIvH8KK9b21Vt6iJHtaGvjW17p9nQ11b1uVRAiTS+IWDDrMdlQy2g+CkgxU8JGRgY0EyxsmiZ2VXA71GcD2Q/8BvAqcCXgTgwDHzY3cfMrBO4ETiJ4gSMH3X3xxY+a5H64+43AzfP2XbREY57iWI7O2GDE2kMY3AiXc1pRI5p++A0hVKslobwiTS+VxpqIbIkmFk38GngEne/ENjJ/7+9O4+T6yrv/P95bq1dXd1d6k0ttVqWvMnYFmvH2AaCIeABTEiICVkmYEIYJT8SyJBksswvZDJkwmQjkzDZMJAJw5DJJPEwbIZ4wNj4F9sY2zgIG8tYlrW01FLvW3Wt9/n9USXRLWtpqZdb1f19v171OlV3q+ferlunnj7nngv/Bvg74Bfd/Xrgi8AH6qv8IXCPu99YX+6/rX3UIuLuzBQr1Hqhi6yOQnVxuRxKoESanLsfA052tfg6cNzd74g4LJE15+7jwMvdfb4+KU5thLCJBS1LHwNuqT9/Q/017v4tYMbMLlu7iEUE4JkTM1S9VoqslpW836O68ImsA2fqaiGyEbl7wczSwO9T67L3bRZcI+juJTM7NWr9gmQLvnf94P61ildEoL0lyUypRHvLClzdL3IWAVBlZVqP1AIlIiLrhpltAz4NfMndf45a8tS7YH4KKNVfztdfn/Sc6wfr6yxpKGYRuThd2RRBvRRZLbFgcbkcSqBERGRdqLc8/Q2wx92/CODu+4GsmV1bX+xt1K6DAvg88NP1dZ8HtLn7M6dvd6lDMYvIxXl6ZJZqvRRZLRYsLpdDXfhERGS9eA3wPOCTZnZy2t3URgj7qJmFwBhwW33e+4FPmNltgFMbgEVE1lil7ItKkdXQlooxX6nSllr+VVBKoEREZF1w988D/WeZfcMZlp8A3rSqQYnIeSUSUCzVSpHVUihXF5XLoS58IiIiIhKZUnlxKbIaettbCOrlcimBEhEREZHIVH1xKbIaUomAIKiVy6UESkREREQik04sLkVWw/GpAtWwVi6XEigRERERicwlXa3Eg1opslpmClW8Xi6XEigRERERiY6dVoqsgmK4uFwOJVAiIiIiEpmDI3NUwlopslpa44vL5VACJSIiIiKRKYeLS5HVsCmTJKiXy6UESkREREQi09eWWFSKrIbZYomwXi6XEigRERERicyWzlbakgFbOjWIhKyeudLicjmUQImIiIhIZAIz3IzANIqErJ54sLhcDiVQIiIiIhKZE1N58sUqJ6byUYci61glXFwuhxIoEREREYnMRCHE66XIamlPB4vK5VACJSIiIiKRuaI7QzyolSKrpTUVX1QuhxIoEREREYlMJhWnoyVBZgV+2IqczWwpxOrlcimBEhEREZHITBbKzBQrTBbKUYci61hvNoHXy+VSAiUiIiIikRmZLlCqOCPThahDkXUstIC2VJzQdA2UyIZmZikze6+Zfc3M/mfU8YiIyPpgZm81s4fM7BEz+9AZ5r/HzB40swfM7C/MLv5X6cRsqTaIxOwK3KBH5Cxef20fuUyc11/bt+xtKYESaW4V4EngPwO6gYaIiCybmV0C/A7wWmAQ2GZmty6Yfw3wg8DL3P0GoAd448W/4WmlyCo4OjlPuRpydHJ+2dtSAiXSxNy96u53Acv/NhAREal5HXCHu0+5uwMfAX745Ex3fxx4k7tX65PiLKMeumRThoTVSpHV8sD+MUZnSzywf2zZ29JwJyJNwMxeDfzWGWb9uLsPL2H9PcAegO3bt69wdCIiss50AQvrlmNA78IF3L1gZjngL4DH3P3/XuybxeNG1WulyGrpaUsyOlOkpy257G0pgRJpAu5+N3D3Mta/HbgdYHBw0FcqLhERWZeOAzsXvO6rTzvFzK4FPgT8lrt//UwbWeo/7546MUdYL0VWy6uu6iMZj/Oyy7uXvS114RMRERGRhe4E3mxmbfXX7wQ+c3KmmfUAfwK89WzJE9T+eefug+4+2NPTc9Y3yyZji0qR1dDeEmeuWKG9RTfSFRFZEbHTShGRjcrdjwEfBL5mZl8Hjrv7HWZ2j5n1AT9GrYXqM/Vp99Rbmy7KQFeGdKxWiqyWz37zKEcm5vnsN48ue1vqwieyDrj7PcA9EYfR1KqnlSIiG5m7fwr41GnTbqo//bP6Y0WkEzESsYB0Qv/CktUzOjvP5HyF0VmNwiciIiIiTWxytkihHDI5W4w6FFnHZotVrF4ulxIoEREREYnMSL5CxWulyGrZ3JZaVC6HEigREVkXzOwtZvb3ZnZowbTtZvYlM7u/fp3GJfXpSTP7eH36o2b2mugiF9nYEuaLSpHVcHx6Hq+Xy6UESkRE1osR4N3Awpt8fBz4c3e/EfgDvnfdxr8DJuvTfxD4SzNb/r8lReSC9eUyJONGX06DSMjqqYSLy+VQAiUiAiSCxaU0H3e/191HT742swxwlbt/rj7/TuBaM0sCbwQ+Up8+BDwAvHztoxYRD0PMHQ9X4JetyFkEp5UrsS0RkQ3tp67fTldrgp+6/uw3e5Smk6PWKrXQCaCr/hheMP0Y0Ls2YYnIQiNzJYrVWimyWsqhLyqXQwmUiAgwPDXPbKHM8NTy+0ZLwxilligt1FOffpzFCVNffdpzmNkeM3vYzB4eGTk9HxOR5aqGTlAvRVbLllyGoF4ulxIoERHgi4+PUKzWSlkf3L0E7DWz1wHUB4p43N3LwGeAd9WnbwauB/75LNu53d0H3X2wp6dnbYIX2UB2dGYIglopslrmCiXCerlcupGuiAjQlgyYKYW0JfV/pXXm54G/MbP3A0Xgp+vTPwx83My+Dhjw8+6um9CIRODYdIHQa6XIajkxU1lULocSKBER4J2v2Mn/fnSIH3lxf9ShyDK5e9+C5weBV51hmRLwtrWMS0TObHSmSNVrpchqqZ5WLof+1SoiAgxN5ilXQoYm81GHIiKyocyVF5cijU4JlIgI8OD+CUbnSjy4fyLqUERERGSFxU4rl0MJlIgI0J4MMK+VIiKydtoTi0uR1dDfkVhULod+KYiIAB1tKVLJGB1tqahDERHZUF6ys4vu1gQv2Xn6XQdEVk62JUkiqJXLpQRKRARIxwLS8YB0TF+LIiJrqbs9TTwW0N2ejjoUWcemCxW8Xi6XfimIiAA97WniMaNHFbiIyJp6+sQME/kST5+YiToUWce2dqSwerlcGsZcRAQ4PD7HXKHC4fG5qEMREdlQnh6epliplSKr5cRsidBr5XKpBUpEBJjKl6l6rRQRkbUTYotKkdUwNVe739jU3PLvN6YESkQEuHZbB20tca7d1hF1KCIiG8qVvW3ErFaKrJYgCBaVy6EufCIiwO7+TYShsbs/F3UoIiIbSrFSJRUPKFaqUYci69hcsbqoXA61QIk0OTP7XTO738y+YWbvjzqeZrWrr41ca4JdffoPqIjIWipXqxTKIeWqEihZPSfz85XI05VAiTQxM7sF6HP3G4HrgVvM7PkRh9WURmeLbG3PMDq7/L7RIiKydCdmSoT1UmS1ZNPBonI51IVPpIm5+xfM7MsLJgVAIap4mlmt696kuvCJiKwxDxeXIqshESwul6MhEygz+21g2N3/KupYRBqBmb0a+K0zzPpxdx82s37gduB2d3/qDOvvAfYAbN++fVVjbVYDnRkGOjNRhyEi0hDM7K3ArwAx4B53/+XT5r8X+CkgCfwPd/+ji32vdDJguhSSTqpjlKyefDlcVC5HQyZQIrKYu98N3H2meWZ2E7VK7pfcfd9Z1r+dWoLF4OCgr06UIiKyHpjZJcDvANcB08Dfmdmt7n5Hff7LgJ8AXl5f5W4zu8fdH76Y98u1JJmar5BrSa5A9CJnVg0Xl8vRMKm+mX3IzL5uZncAV0Udj0gzMLOrgF8CfuRsyZOIiMgFeh1wh7tPubsDHwF+eMH8NwL/zd1L7l4C/hr4oYt9s1wmTui1UmS1xIPF5bK2tfxNLJ+ZvQG4nNpF8AHw2eVsb8evf+HU82d/75ZlxSZyNofH8+wdql0zE2HXr3cBlwF3mZ26AeEfu/uyziEREdnQuoDhBa+PAb2nzX/gtPkvvdg3myxUSSdiTBY0Cp+snmQ8RlCukozHlr2thkiggGuAe+v/5aia2TfOtJCu45BGsndokuHJIjAZWQLl7r9CrfueiIjISjkO7Fzwuq8+beH83nPMB5b+u+0nX7qdf3z4CG8Z3LaMkEXO7W037uB/PzrEj7y4f9nbapQufN8CfsDMAjNLA68600Lufru7D7r7YE9Pz9pGKHKa3f05+nIpjdomIiLrzZ3Am83s5I3x3gl8ZsH8zwBvN7OEmcWA2zhD76Gl/m57x42X8vn3fj/vuPHSldsDkdO877VXcd+v/QDve+3yrxRqiBYod/+n+oXwDwHjwOPL2Z667cla0KhtIiKyHrn7MTP7IPA1MysB97n7HWZ2D7XRXx82s89S+91WAf7uYgeQEGlGDZFAAbj7bwC/EXUcIiIiIhudu38K+NRp025a8PyPgIseulykmTVKFz4RkQ3l8HieO/ce5fB4PupQRERE5AI0TAuUiMhG0giDkIiIiMiFUwIlIhKB2uAjkxqEREREpMkogRIRiYAGIREREWlOugZKRERERERkiZRAiYjIhmVmbzWzh8zsETP7UNTxiIhI41MCJSIiG5KZXQL8DvBaYBDYZma3RhuViIg0OiVQIiKyUb0OuMPdp9zdgY8APxxtSCIi0uiUQImIyEbVBQwveH0M6I0oFhERaRJW+6db8zGzEeDgORbpBkbXKBzZuM73ObvE3XvWKpilWMK5s5Gt9feGvqfObtXPHTP7GWCnu/9m/fWrgJ9297efttweYE/95S5g32rGtQT63DSuRvjbNFy9A/rdJg1jRX63NW0CdT5m9rC7D0Ydh6xv+pytL2v999TnJ1pmtgX4MnC9u8+Y2SeB/+Pud0Qc2jnpc9O49Le5eDp2shZW6nOm+0CJiMiG5O7HzOyDwNfMrATc1+jJk4iIRE8JlIiIbFju/ingU1HHISIizWM9DyJxe9QByIagz9n6stZ/T31+5GLoc9O49Le5eDp2shZW5HO2bq+BEhERERERWWnruQVKRERERERkRSmBErkIZrbDzB6MOg5pTvr8iKwvOqdFGttKn6NKoERERERERJZo3SVQZhaY2V+Y2UNm9oCZXRt1TLJupczsr8zsPjP7RzNLRx2QXJyIvjf0+ZELovqt4emcvgj6XMsaWrFzdN0lUEArcI+7Xwf8GvCzEccj69cO4IPu/gpqd1d/d7ThyDJE8b2xA31+5MKofmtsO9A5fTH0uZa1soMVOkfXYwKVAG42s68BfwC0RRyPrF/73P1Q/flXgGuiDEaWJYrvDX1+5EKpfmtsOqcvjj7XslZW7BxdjwnU24E5d/9+4DcBizgeWb8uNbOu+vNXAo9HGYwsSxTfG/r8yIVS/dbYdE5fHH2uZa2s2Dm6HhOoLwAvN7MvAc8HctGGI+vYI8Afmdm91JqF/zzacGQZovje0OdHLpTqt8amc/ri6HMta2XFzlHdSFdERERERGSJ1mMLlIiIiIiIyKpQAiUiIiIiIrJESqBERERERESWSAmUiIiIiIjIEimBEhERERERWSIlUCIiIiIiIkukBEpERERERGSJlECJiIiIiIgskRIoERERERGRJVICJSIiIiIiskRKoERERERERJZICZSIiIiIiMgSxaMO4GJ1d3f7jh07og5D5JweeeSRUXfviTqOhXTuSDNoxHMHdP5I49O5I3Lxlnr+NG0CtWPHDh5++OGowxA5JzM7GHUMp9O5I82gEc8d0PkjjU/njsjFW+r5oy58IiIiIhuYmb3FzP7ezA4tmLbNzP7JzO4xs/vN7Pr69KSZfbw+7VEze010kYtEo2lboERERERkRYwA7wa+vWDaHwO/6+5fM7NrgE8CLwb+HTDp7jeaWT9wj5ld6+7FNY9aJCJKoEREREQ2MHe/F8DMFk5+u7sX6s/jwHz9+RuB2+rrDZnZA8DLga+sTbQi0VMXPhERERFZ5GTyZGZvAv4r8I76rC5geMGix4DeM23DzPaY2cNm9vDIyMgqRiuytpRAiYiIiMgiVvMHwI3Aze7+3fqs4yxOmPrq057D3W9390F3H+zpabiBAUUumhIoEZFzODye5869Rzk8no86FBGRtfSbwFPu/usLuvIBfAZ4F4CZbQauB/45gvhEIqNroEREzmHv0CTDk0VgkoHOTNThiIislV8AvmNmP7Vg2s3Ah4GPm9nXAQN+XgNIyFra8etfuOh1n/29W1YkBiVQIiLnsLs/B0zWSxGR9cvd+xY833yORd+2BuGINCwlUCIi5zDQmVHL0zpmZjuAv3P366OORUREmoOugRIREREREVmihmqBMrN/D/wQtbg+4u63X8x2/ub+Z/jYvfuZL1UplKuUq5BOGPEAZkpONgEWSzBfLJNrTfKyy7v4ztEpym6Uy2UOjpcIF2yvJxPQ2pJkcq5EDKi4YwbdbSkKpZCZQonNuVbe+wNXMDpb5GNfewYPQ3b1dXBJd4Z/3j9G4CEnZst0ZuJ0Z1McmZjnyFSJZACBQXs6xnSxSrECMYN4ANmWBC0xOD5dpi0VUAXmSyHlsNbpuApk4vD8gRzPjMwyOlvBgd72BM/ra2NktkxYqVDB8NAZnSkQjwdc27+J1lTA2GyJvUcmScVjbG5LcnS6CB4SWEDoTr7oJBKwo7OVkdki86UKrekE7ek4L7ykk2wqxtf3j3N0Ms+Nl/fwjpft5C+/+hT//PQ4MYMrNrfyzGie7myKvvYUxUpIKYTtnWmGp4scm5ynUKowWXBaE9DTmmJTW4rp+SIjM2V625J0t6cplKocmy4wPl3GglrWn04Y7S1JJvNFCvVjlohBW0uSga4MN1zaww2XdfFPjw9z57eGGJ4u40CsftxOCoBtuRSYc2yyROjQ25ZgYq5MYeGH4DQxYFMmxquv3sx7Xr1LLRQizS1lZn8FXENtNLGfOu2i+fM6PJ7nw1/Zx1e/c4J8uUIABIGRihnlEGYLIfEYtKZihGFIR2uK3mySo1NF2tNxZudLDE2VT30/xYDetjit6STHJvMkAiMEDCeXSVKsOK3JgI5Mmje9aCvT8xW++uQwIzMlbrisi625Fr747eFTdU82GTBXrDBdCIkHUAmhNQnZVJKJfIm5CqQCaEvH2NyRplgOOTE9TzoRY6ZYxUOohhBS+w5Nx2BXX5YDI7PMlCBu8EMv2kIQBNz/9CjZVIxKCCem58m1JMmm4/S2t3Biep7ZQpnxfIlcOkl/Zwv7T8xRcac9FTA2W2a+AtmUcWlPlmPTRTyskojFyCRjXLG5nflShePTBabmy9x4RQ/XbG3nY/fsZ3SuxK6+LEEs4OjEPFtzLXS0xDk4lud5W9vpa2/hkYPjjM2WCNw5MlUinYAdXa30tbcwOjvPs6Pz9G9KEwTGTKHM2FyZmDsVIBFAOhFnS66FIxPzFMtV4oFRKId0ZZP8q91beMeNl3Jsap47HjnCwwdG2D9WuzQoHYNCtfZ3bYlzqi4sh87EXIlkPODyniyHxvL14x2Sr9TesyUZY65QpUzt98hP3XgZP/Libap3RCJk7h51DACY2Q8Avwa8nlp+8C53/6vTltkD7AHYvn37Sw4ePHjGbb3xw1/jyeEZKuf4AXxSzKAlERA6VEKnVD3z8YgZnD4rALz+SMaMV1zRxfHpIvuGZ6iG0NmawIFSxZkpVrD6jrUmA2ZK5w/O6ts+n2QMStXF01oSAQaUKyFmtcoyrG+zJRHQ3ZZkeKqwaL2zvd/J2+qdnJcMoDOboi0Z58D4HGEI7ek4b/m+bfyPBw9SKPtz1s8mA8rVkCAISMSMQiWkUvFFyUzcIBYzyhUnpHZ8M6kYlUqVwmn7d7Z4jdoPlGu3tnPttg7uffIE+0fyLOGjcMEM6G1P8h9+8BresHvrmZcxe8TdB1fh7S/a4OCgP/zww1GHIXJOa3Xu1LvwfRN4gbsfMrMPAUPu/scLljlv3XPn3qN84HOPc3y6tKTv7ZjV/nnm1L5Lymf5kgrgjN9fMQN3aG+Js21TC62pOP9yaIKKQ3c2SSIWMJmvnKp7zhbT6ds3IBZAGJ75fc+1bjYZkE3HGZ0tYV6rM0/OzyS+1+ElX9/ZoP5elfDM8Z3cx5N1VyKATDJOPGZMzpcxoCubojub5ImjM6fqjUS8Vo8k44aZ4e6k4jF621IcHp+j4iz6fRAPINeSYHyufCqOlkRwKs7T99kMQl8ccwBc2tPKL918JY8emuChZyb41tDUeY7g9/6pZ/U4qks47tfv3MTbb9zRVPUOrN+6ZzkDGsDKDWqwkazmIBJLPX8aqQXqRcA/ufvJn8p/dfoC9Rap26F2Ip5tQ28Z3BZBC1SGN79421lboPo90XAtUFs70stugUrst3oLVBc3X93H/uPTDdIC1c0Nl3XhDrPF1WuBeuWV3RpcQKT57XP3Q/XnXwFuXThzKXXP7v4cr7iiO9IWqFKl8pwWqJN1z1q0QL3u2s0RtEB1X2ALVLBqLVCv3FWrD7qzKWbmK8wVCqvSAnXDZap3RKLWSAnUN4FfM7M/dfeKmb0T+MSChGrJ3nHjpbzjxktXPsILeP+N6rqdN0QdwiLX7ezi/W+8JuowRKSxXWpmXe4+BrwSePxCNzDQmeEPf/RFKx/ZBXjvD1y56PX7XntVRJGsvUaqdwc6M1y3syvqMERkFTVMAuXuXzGzlwIPmlkI/OPFJE8iIiIX6BHgj8zsUmAY+K2I4xERkQbWMAkUgLt/EPhg1HGIiMjG4O7PUrv2VkREZEk0jLmIiIiIiMgSKYESERERERFZIiVQIuuAmf2qmd1vZt80s782s2TUMYmIiIisR0qgRJqcmXUDHcDL3P1FQIbaDallhR0ez3Pn3qMcHs9HHYqIiIhEpKEGkRCRC+fuo8D/C2BmWaAd+HakQa1Te4cmGZ4sApMMdGaiDkdEREQioBYokXXCzD4FHAC+CjwZcTjr0u7+HH25lG5iKSIisoEpgRJZJ9z9XwOXANcDty2cZ2Z7zOxhM3t4ZGQkkvjWg4HODG/YvXVR65O69YmIiGwsSqBEmpyZvdDMbgNw9zzwFJBbuIy73+7ug+4+2NPTE0GU69fJbn17hyajDkVERETWgBIokea3D7ix3sJ0H7AD+Gi0IW0c6tYnIiKysWgQCZEm5+7zwM9GHcdGNdCZ0YASIiIiG4haoEREIqBrp0RERJqTWqBERCKgIdFFRFbGjl//wrLWf/b3blmhSGSjUAuUiMgSLLXFaKnL6dopERGR5qQWKBGRJVhqi9FSl9O1UyLSKMzsLcBbgevdfXt92nbgdmo3Zy8Bt7n7QTNLAn8JPA9IA7/q7l+OJnKRaKgFSkTkPA6P5xmdLZKI23lbjNSyJCJNaAR4N5BcMO3jwJ+7+43AHwB/Vp/+74DJ+vQfBP7SzFJrGaxI1NQCJSJyHnuHJqlUoC+XPG+rkVqWRKTZuPu9AGZGvcwAV7n75+rz7zSzP6+3Pr2R+s3a3X3IzB4AXg58JYrYRaKgBEpE5DxqrUmTalUSkY0iR61VaqETQFf9Mbxg+jGgd23CEmkMSqBERM7jTK1Kh8fz7B2qJVVnanE60/zD43nu2XcCx3nVrs1qqRKRRjVKLVFaqKc+/Ti1hGm6Pr2vPu05zGwPsAdg+/bt53zD5Y6kJ7KWlECJiFyE8w0Wcab5e4cm+ZfDk+BGdzalBEpEGpK7l8xsr5m9zt2/ZGavAR5397KZfQZ4F/DrZrYZuJ56knSG7dxObSAKBgcHfa3il9W30RNeJVAiIhfhfN36zjR/d3+OsdkSjqs7oIg0up8H/sbM3g8UgZ+uT/8w8HEz+zpgwM+7ezGiGEUioQRKROQinG+wiDPNH+jM8LYbdqxyZCIiF8fd+xY8Pwi86gzLlIC3rWVcIo1Gw5iLiIiIiIgskRIoEZE1cHg8z517j3J4PB91KCIiIrIMSqBERNbA3qFJnjw6wyceOMDh8bwSKhERkSala6BERNbA7v4cjx6aoCURZ+/QJMA5R/ETERGRxqQESkRkhZzr3lADnRluu2Hnqfk1ujmviIhIs1ECJSKyQs52b6iFidUbdm89NV0tTyIiIs1HCZSIyAo5272hznfTXRERic5GvymsXDglUCIiK+Rs94Y6PbE6V1c/ERHZOJaTvD37e7esYCRyIZRAiYisstMTq6/uO863Dk0zOlvk7TfsjDAyERERuVAaxlxkHTCzt5rZA2Z2n5n9vZmpWaOBTebLHJ6cYzJfjjoUERERuUBqgRJpcmbWCfwq8Ap3nzezPwTeBXw42sjkbNzB6qWIiMjF0LVb0VELlEiTc/dx4OXuPl+fFAfmz7GKrIFz3SjXcYrlKk8dn9KNdEVERJqMEiiRdcDdC2aWNrM/BVqAv446po3u5Mh7J2+au1BXa4oQODpR4Kv7jq95bCIiInLx1IVPZB0ws23AR4EPu/sXzzB/D7AHYPv27Wsc3cZ0piHNT46+t6uvjav62pkqlDEsqhBFRETkIiiBEmlyZpYG/gb4aXc/fKZl3P124HaAwcFBXXmzBs40pPk9+07wL4cnecFAjl949RWnhjIXERGR5qEESqT5vQZ4HvBJs1OtGXe7+weiC2njOtc9nhwHNxw/6z2jREREpLEpgRJpcu7+eaA/6jikZu/QJN85NsOjhya4rX6Pp71Dk3RnUxjG87e386pdm3UzXRERkSalQSRERFbQ7v4c8+UKmXicvUOT7B2a5MmjM3zk3qcZmS7SnU0x0Jk55yATIiIi0rjUAiUisoIGOjPcdsPORdc3PXpogm2bWslXKnRnU9y59yjd2RSAroESERFpMkqgRERW2OnXN918dR93PTHMzVf3MTpbZHiyCMAbdm+NKkQRERG5SOrCJyKyykZni2xtzzA6W2R3f45E3BidLeomuiIiIk1ICZSIyCrb3Z+jL5c6NWBEVzZJpYKufxKRhmdm/97MHjKzfzazfzCzNjN7gZnda2YPmtnnzGxT1HGKrCV14RMRWWWnd+k70012RUQajZntBn4IuMHdq2b2X4CfA94J/IS7P2Zm7wY+ALwnwlBF1pQSKBGRNaZ7QIlIkxgFitR+L1aBGDANTLj7Y/VlPgY8iRIo2UCUQImIiIjIc7j7MTP7M+AvzOxpYAL4NjC8YJmSmen3pGwo+sCLiKwx3URXRJqBmb0K+H53/5n667dS68LXu2CZFFA6y/p7gD0A27dvX/V4RdaKBpEQEVljuomuiDSJq4DUgtdJav98z5rZtfVpbwO+eKaV3f12dx9098Genp7VjVRkDakFSkRkDT10YIx7942wNdfCa/s3Rx2OiMi5/HfgejN7CCgD88C7gBzwUTMLgTHgtsgiFImAEigRkTVyeDzPn3z5KcZmajfSVfc9EWlk7j7H2ZOjG9YyFpFGogRKRGSVnbzm6ZGDEzxzYpZ8scLWXJrD43klUSIiIk1GCZSIyCp66MAYf/Llp4gHxthskWLVCWJGOhFn79CkEigREZEmowRKRGQFLRxhD+Aj9z7N8FSBGMa2zhTuAM5VW9p1I10REZEmpARKRGQFPHRgjDseOcLB0RmmC1V29mR46aXdDOQyzJdDrtvZyeW9WT796BFy6QQzxXLUIYuIiMhFUAIlIrIC7npimG8cHOfoRJ5UPEYqHjAxVyaeCPjJl24nMOPhZ8cZny3xnaNTlEKYypf4wx99UdShi4iIyAVQAiUicpFOdtfrzqaohiEzhTJtyRixeIyZQom7Hh9mcEcnX/r2MCMzRSbyJQrlKuNzZSohfOU7xzWQhIiISJNRAiUicoG+N6reOA/sH2N6vky1GlIsVRnobKG3Lc3eoWmCYpW9Q5NMzBWZnS8zU6ySTScIDEKHatX56r7jvP2GnVHvkoiIiCyREigRkQvw0IExPnLv02zblOG7J2Y4MV2kVKlSqjrxmJEvhcyXq3i1ilnA+FyRybkys8UqLYmAcjVka0ea8XyVdAIm87oWSkREpJkogRIROY/D43m+uu84k/kyn//mEMMzRQ6N5bmyLwsegod0tCRIxALaUnGGp4tkW5J0ZlOcmC5QDZ3ObIKYGS++JIc7PLh/nHgQ1EflExERkWahBEqkyZnZW4C3Ate7+/ao41mPvrrvOJ9+5AgT+RIjswVKFTg+PU85dMqhUahALOYM7siRTSUYnipgAbQmY1y+OcvodIETM0W6W1O89NJu7t13glgsoFSFTa2JqHdPRERELkAQdQAismwjwLuBZNSBrBcPHRjjP33hcR46MAbAxFyZsbkS7pCOx4kHEGCE1ZDAQhIxmC9XGJ8tcutLtvGaqzfTmowxOlNk//FpWtMJurNpitUQw3jFlT20pgJ29GS4qq894r0VERGRC6EWKJEm5+73AphZ1KE0vYcOjHHXE8Mcm8wzNV/lwMgsWzpaAOjKppgplElUAsyg4lCshFzR187RiXkm58p859gM//DwIcbnSswWq+wfnaNacQoVZ3d/jmv627lpVy97hyYZ3N4N5ozOFiPeaxEREbkQSqBENgAz2wPsAdi+Xb38zuauJ4bZd2yW8XyR0Zl5qqHxq//4TRwYmswzWyhTrkIlhMBCQg85MV1goCvDXGmGatV5YP84rckYoTsxAzfY3J7mF159BcCpYc+3daU5NlmgO5uKdqdFRETkgiiBEtkA3P124HaAwcFBDVtwFi8cyPHg/jGyyRjHQyNfqvLd47PEgIl8hWr9yBkQC6BcgfliFa+GbM214NWQRCIgXwhJxI1sKsF4pcDUfJljU/M8OTzN5x8bYrJQ4RVXdLNrc7taoERERJqMroESEakLzHj1rs10tyUZ6GyhLR2jty0FAaTjtaSpLRUw0JmiJ5ukI5MgHgsoVpyBzgw3XtnDlZvbKHsVcKoeEgtiHBmf50++/BST+TIHJ+Y5OjnPPzx0mPuePqEWKBERkSajFigRkboTMwW+9PhRurJJ2tIJWhK1a5ku6cqSL1Xp39RCpRqyozvLA0+PMVUos72rhXQsoFCu0lYfga9YCZnKV+hrS5PIGCMzJY6MzXF/tUo6ZoyXQzyEbxwY54UDY1y3syvqXRcREZElUgIlsk64e1/UMTSzhw6M8fH7DtS72xXY0pGmXA2JmRGPBfzcTTsIzNjdn+OORw8zVyyTjhvFUoWCG+7G4fE8vW0pUvGAuWKF4el5rtraRjadZCJf4shEkUIlJBU3ZktOuRry1PHpqHddRERELoC68ImIUBtAIpeOUyhVKVdDhifzzJdDUokYL7mkk8CMN+zeCsDTJ2ZpTcdpb0lQDeHgeJ7ZYpGBzgw7ult53uYOkvEYLck4na0pXrmrh0t7WokFTmBOpX4xlTtcuVnDmIuIiDQTJVAiIsDNV/fR3ZaiJRlQrcB0CWYKFRIx43lb2ujOpvjkA8/y+1/8Dt86PMGJ6SKX9bYSCwJKVWdsrsJ0oczEXJkgBq++qocrt7QBYBidmRSJeIzQa8PNx4B0MuCGy9R9T0REpJmsegJlZn+w2u8hIrJc1+3solh1KiGUF0zva29hd3+OJ4enueORw3zz4DhT+QqlSpVnRvK8YHsH6XhAPIBvHhzjgafHqDps29TK0ESebx2Z4t6nTtDeEmd0psD4XJlKFRIJaInHuH//aGT7LCIiIhduRa+BMrO/Pn0S8Goz63b3d67ke4mIrKTD43lSMaNcCU9N29QS49r+HHuHJjGMUiXEAqO3PUG5CtlUnE2ZFC+9tBPD2NyR5unj00zPl9k3PEWhFHJipsBsocz4XJFKCCG1RyYIaE3HOTZZiGyfRURE5MKt9CASIZAAfhcoUkugtgK/vcLvIyKyor667zjpeJxLulr47sg8ALOlKsdnCrw8283u/hx3P3mc8XztZro7u1u5tLeNoYk8Pa0p4omAFw7keHZ0lnQi4NnReeaKJQyYLVSJBwFbOlIMTxepVEPMAnKZBLe+ZFu0Oy4iIiIXZEUTKHd/l5n9EPAx4Jfd/RtmNufuh1byfUREVpphjM0VmS9VCaj9Nyhfhs89doRDE3O87zW7mJovMz1fJh9AJplgZHaMXX1tPHVimo6WFDPzZa7emuOfHj/GXKECFpBNB4Shs3tbB9+/q4dvHBjnXw5NEMQC0okYWzpaot51EZGzMrPtwIeBdqAK/DK1f5B/GEgBI8Db3X0isiBF1tiKD2Pu7p8xsweAj5jZ49RapEREGtpNu3r5yD3f5dhUiXDB9HwFHj04wR2PHCabitPWEocwZDxfAIfZYpktuRaOTc+zdVMnPW1J+nMtHJ+cZ3tnC4VKSHs6wc6eVj5x/wGm8xVak/XkqS3N3qFJBjozke23iMh5/CXwPnd/ysx6qP1/6f8DfsLdHzOzdwMfAN4TZZAia2m1BpH4AXd/M3AIKJnZnlV6HxGRFTHQmaElFV+UPJ1UrdZG5NvS0cLVfW10ZdNUqs5Mscpsvsyh0TzmcElXhu5simv7c+we2MQNl/ewKZNkaDLPZx47yvBEgYl8hXwpZEt7C5OFMt3Z1Jrvq4jIUphZH5AB9pjZfcB/BLYBE+7+WH2xjwG3RBOhSDRWK4F6qZl9HPgi4MCuVXofEZEVcXg8TxzHF0wL6o/etiTDU3mm58tMFSrMzJeYL4WkYkYQMyqhYwF0tiZ56vgMJ6YLOM7nHhviuydmGJkpkYgFxOMBmzJxettT9HWkuWZLjtHZYkR7LCJyXtuBFwH/3d1fAYwDfwgMn1zA3UucpUeTme0xs4fN7OGRkZG1iFdkTaxKAuXu/xb4F+AA8Fl3/+XVeB8RkZWyd2iS8fnKommJGPS1J+jLpXGMBw+MMTpTxM3IphJs2ZTh+3Z2sSXXQlsqwacfPcK+ozNUQ+fI+ByhQ6FUpa89RSpuXNbTihns6M5y60u2cdXWNnb356LZYRGR85sEvuXu36q//l/UroPqPbmAmaWA0plWdvfb3X3Q3Qd7enpWO1aRNbMqCZSZ/TbwOuAVwNvM7GdX431ERFZKdzaFuy+aZgbxIODo5DzfPjLNbKFCoVyhJREjEYfN2RSv372FXZvbaEsn6GhJMlUsM9CZ4Sev38HmjjQ7u1uJB4DDwbE8lRC+e3yG0dkib9i9Vdc/iUgjexrImNll9df/CngUyJrZtfVpb6PW40hkw1jxQSTq5oFb3N3N7PXUhjUXEWlYo7NFujIpRmYrp7rxVaq1ocyn5ytUHHBIxIJTLUuzxQqffvQI2za1Mlsss+/4DO6OGbzx+f1MzJW5/+kRRuZKBIHR3ZaiLR3nRds71fIkIg3P3UMzeyfwUTNLUOu69zPAP9SnhcAYcFuEYYqsuVVJoNz99xc8rwC/thrvIyKyUrqzKY7PFIgFcPJeusmYETdqyVNdMh5gBtXQmStVuHpLO4cn5qhUQ45PzZOMxRiayAO1kf0Ojs+RScWZzJf42VdeznU7uyLYOxGRi1Pvvvfq0yY/Btyw9tGINIbVaoESEWkqo7NF4oGdSp4AHGe68L3rogyYyJeJB0Yuk2BnT5brLuti0Dv56/sO0JqM0ZlNcetLBoDayH633bCTvUOT7O7PqbueiIjIOqAESkQE2N2fI2TxNVCVKiTjRlB1YgAB5ItV0skYrekEr7u2j939OT7xwAHa0gmSsRhveEHfolamgc6MEicREZF1RAmUiAi1RGdTS5LRuflT0xyIx4yMQaXqhPX8Km7Oto40jx2eZGKuTCYerw1L3t/Oq3ZtjmYHREREZE0ogRIRqXvRjk08Oz5POawNUbq5PUEldOYKIY4TBFCoQL4UsvfoFBaL0ZZKcNXWNn60f0AtTSIiIhvAat1IV0Sk6Vzbn6M7EycRwOa2OJlEnLlSCOZ0ZuKU65dDFaowPV8hXyizqTWh4chFREQ2ECVQIiLA4fE8hpFKxYkFxonZCofG56mGTi6TZFO2hUzye8sXqyHTxbK67ImIiGwwSqBERIC9Q5OUK86rr9pMImZUHYohFMtOfy7Nzu4WurJptuZSJANIxgK25tJqeRIREdlgdA2UyDpgZm8FfgWIAfe4+y9HHFLTCd2549FDuDvXbG3nm4cmKVZrA0k8MzLH9u4sna0JUok42zrSxOMBt914adRhi4iIyBpTC5RIkzOzS4DfAV4LDALbzOzWaKNqPo8dnuT4dJGjk0XG5kps29RCKoBEAN1taR47OEG+5BTLITt7svzb1+wC4D994XEeOjAWcfQiIiKyVtQCJdL8Xgfc4e5TAGb2EeCngTsijarJvHAgxwNPj1KqhrxgoIPxuTLV0EnHY1TCkK5skmfH8qQSKY5PFfnIvU/jwOhMiZn5yqJ7P4mIiMj6pQRKpPl1AcMLXh8DehcuYGZ7gD0A27dvX7vImkhgxq0v3s7R6TyVcsiDx8YoV0JmC2WSyTjlaoHtmzIcnZrn0OgcbS1J2lIBxQo8+MwIn//WEG98fn/UuyEiIiKrTF34RJrfcRYnTH31aae4++3uPujugz09PWsaXLPY3Z+jL5fi5qv7eGpklplilZIbqUQMQkiYEY8b1WrIbCFkfK5Eb0eGiofky87fPvhs1LsgIiIia0AJlEjzuxN4s5m11V+/E/hMhPE0pYHODG/YvZXrdnZx3c5O+nMtbGlP8sLtOZJx6MymuaqvnWLVIYDQQ545PkvcoFyuMjpb0rVQIiIiG4C68Ik0OXc/ZmYfBL5mZiXgPnfX9U/LcOuLB7hycxtPn5jl7idPUKkaxWrIXLHK5b1ZDo7nASiFTrUMqWSMSgh3PTGsa6FERETWOSVQIuuAu38K+FTUcaw3oTvmTls6xq7Nbbziym7mihV62lJc3pvlG89OMF+qcHy6wHShzLZNLVGHLCIiIqtMCZSIyGn2Dk3y5NEZjs8UeOElOfLFkFdc2c0X9x7j8aEp2lNxCuUq1+3sZN/RGQ6N50nFYnzn6PSS3+PweJ69Q5Ps7s/pZrwiIiJNRAmUiMhpdvfnePTQBL3taebLFTa3Jfnbrx/i0NgchXKVsbkSs5WQlmScXVvb2D86w1ypSjadWPJ77B2aZHiyCEwqgRIREWkiSqBERE4z0Jnhtht2sndoktCdTz96hLGZAtPzJcBIBzA6U+RAfJbQayPy5VqSXNKVWXLL0u7+HDBZL0VERKRZKIESETmDk8nPJx44wLZNrewfmQUL8NCpOJiHHJss8PSJWVoScYIArupr5xMPHCATjy/axtm2r5YnERGR5qNhzEVEzmLv0CSZeJxE3Pi+HZ0EBu7Q1Zpkc1sLxTAkHoOWZMBPXn8Jdz0xzPhskcePTdKdTT1ne4fH89y59yiH66P4iYiISPNRAiUicha7+3NctbWNm6/uI7CArtYU2ZYEbZkkz7+kg1wqQa4lyY9dt52YBRyZmGd4ukg8MD7wucf5/LeGFm3v5HVPe4cmo9khERERWTYlUCIiZ3Hy5rqjs0V629Nsbk+ypT1FezrB0ckil29u4+VX9HLjZd18e2iK+WKFTZk4B8byzJWqfPrRI4u2151NcXQ6f8bWKRGRRmZm7zeze+rPX2Bm95rZg2b2OTPbFHF4ImtKCZSIyHns7s+RiBlh6IzMFPjGgTGeHZklsJBr+zt48JkxpgsVymHIpT3tvOzyLi7tzvDmF29btJ3R2SJb2zM8OTytrnwi0jTMbBDYWX9uwN8Bv+ju1wNfBD4QYXgia06DSIiILMGDz4zxxLEZ5kohAJOFMkNTRZ4+McPeIxO4G1f0ZZkvV7ikq5V8MeSbhyYYnytxVV87o7PFUy1PY7MlDWEuIk3BzFqA/wLcCvw9cCUw4e6P1Rf5GPAk8J5IAhSJgBIoEZHz2Ds0STUMqYQhrcmAdMLItaZJxwMe2D/KpkwSzDACMvE4f/v1Q8zOVzELGdiU5evPjBGG0N4S59aXDPD0iVmGJvJcu20g6l0TETmfPwT+1N1P1Bqf6AKGT85095KZnfH3pJntAfYAbN++fQ1CFVkbSqBERM5jd3+OHV1Z0vEYfR1pbn3JAHc8cpinjs+ypSNJNh0nm0rwvK1t3PX4MLOFMjOFClUPKZSnGJ9LkUkngDR3PHKEZ8fm6MwkGZ0tRr1rIiJnZWb/Ctjk7v+4YPJxoHfBMimgdKb13f124HaAwcFBX8VQRdaUEigRkfMY6MzwC6++gnv2ncBxnhyeZnNbC2Bc09/Ot4emePTgOCOzBTpSSWAOAHOYL1WZS1S4sq+d6y7tZHyuxPR8mfaWuG6iKyKN7o1Aj5n9n/rra4H/AGTN7Fp3/zbwNmrXQYlsGEqgRESWYKAzQ1c2yfBkkdlSmXylwiuu7CYw4/EjE4zMlEjG4MdeuoNY3Dg8nmdsrkRLPKAzm6Q1FedVuzYDtS6Bu/tzuv5JRBqauy+6rsnM7nH3t5vZC4GPmlkIjAG3RRGfSFQ0Cp+IyBLt7s/Rl0uRyyTIxON8+tEjfP2ZccpuYCHtrSletWszr7u2j2roXLejkx98YT+xIGB4cp6v7jt+amh0QCPxiUhTcfeb6uVj7n6Du7/M3d/k7hMRhyayptQCJSKyRAOdGY5NzXPvvhEOjs5wdKrINw6MElgADskgxqe/eYS7Hh+mVK7y1PEZLulqpaMlycRcEcN46MAYdz0xTDYVpz2VRCPxiYiINBclUCIiF+CuJ4aZyJc5MlVkZLpAuQqxWEhHKs50ocQ9+05QqlQZy5d55ZU5NrUmuPGyLhznpl29fOKBA+wbnqUahrzu2j5dByUiItJk1IVPROQC3Hx1H5syCVpiTjIWEADJwKjihA4z87UR+AZ3bKIzm6SzNcnB8Tk6W5PsHZrkhQM5kjG4sidLdzal1icREZEmoxYoEZELcN3OLkZni6QTAd89Pk06EeeZkVmCIGB6voQ79LQmqVRDbr66jzseOcI3nh3nM48NcXVfBy/ZsYlX7uplYq7M2GyJw+N5JVEiIiJNRAmUiMgFOtnt7pbnb+X+/aMAhMDUfImDo3km8iWKYch/vvMJUjFjer5MqVLm8aFJpgslXtCf46mRWdpbEgC87YYd0eyIiIiIXDAlUCIiF2igM8NAZ4Y79x7lyFiBztYUscB4dnSWfLFC6HBgJE8sBslYjE0tcYqxJCFOCDx8aIJMIsbkbBlH95YUERFpJkqgRJpY/Q7wPwu8BRhy95+IOKQNZXd/jtHZIgfH8nzz0DgdLUkqVadQrlKohFSqIR5CqeoEBoEHlMtVetpStLUkuW5n56l7Q4mIiEhz0CASIs2tAjwJ/GfAIo5lQ+rOppgtlMkkE3Rnk/zxj72IH3jeZq7Z2sHApha2dWfY3JHGzOhoTXBpTxuZRILWZO3Gurr+SUREpLkogRJpYu5edfe7gPmoY9mI9g5NMjxZJJtOkIobr7iyhwf2j3FiusDMfIlELMYlm1q4cnM7u7fm2N2f43W7+yiFVdKJGHuHJqPeBREREblA6sIn0gTM7NXAb51h1o+7+/AS1t8D7AHYvn37Cke3cdUGk5hkulhiU0uaL+09xneOzWA4gcUIzMmXK7zjZTvpbUvTnU1xxyNHqFRDCuWq7gElIiLShNQCJdIE3P1ud7/pDI/zJk/19W9390F3H+zp6VntcDeMgc4Mb9i9FcN44tgEe4cmqYZOOYR4DKpe61d531Mjp66XGp4qcHSiyJZcWt33REREmpBaoERElqmzNclUoYK7kUoY2ze1UKoa7emAUuhUQ7jj0cN0tiZpS8e5fHMrXa2pqMMWERGRi6AWKBGRZbppVy+b29Jk0wk6MglyrWnaWuLc8oJtvPlFAzhw595j7D8xx0sv7eIHX9jPrr427tx7lMPj+ajDFxERkQugBEpkHXD3e9z9x6OOY6Ma6Mzw6294Hrv729nV08b0fJHWVIxvHZngwWdGmZkvk4oFPHJwnF19bezuz3HHI0f43GND3LPvRNThi4iIyAVQFz4RkRVw3c4utnS08IkHDmBBwFPHp7l//xi5dJwtuRYSMWhPp3hyeJrR2SJThTKTcxXdSFdERKTJqAVKRGSFDHRmuO2Gneza0sZUoUIiCJgrVWlPJ9m6qZV0KsZDB8Z5+Nlx4mZcf7lupCsiItJslECJiKyggc4MV25uY0t7ikK5SgKnUK7gHtKRTlCthjx6cILRmRKdrUmNxCciItJklECJiKyw3f05jk0VKIcwXXSOThXozqa5pr+d523twAxCD3l8aFqDSIiIiDQZJVAiIitsoDPDFX1ttMSNTDrGdTs7ScQDXrVrM5f3ZnnF5b20tcTpbU+zd2gy6nBFRETkAmgQCRGRVfC+1+zirieGeeFAjom5MuNzJb667zhX9bVz1VZ4+ZXdjM4W2d2fizpUERERuQBKoEREVsHJUfnuePQwDx0YJx4Yrck4X39mDIBdfe28+UXbdA2UiIhIk1ECJSKySvYOTXLPd0Y4Op0nk4xxzdZ2jk4UGJsrcWRinulCmdtu2KkkSkQalpm9FXgfUAGOAe8ArgA+DKSAEeDt7j4RVYwia03XQImIrJLd/Tn6O9NkknF2dGW5/tIeXnlVL7u3dTDQmaElEdc1UCLSsMysE/hV4NXu/grgIPBvgL8DftHdrwe+CHwguihF1p5aoEREVslAZ4bbbtzJHY8cYUsuzU27ehnozHB4PM9X9x3HMF0DJSINy93Hzezl7l6oT4oDBWDC3R+rT/sY8CTwnghCFImEEigRkVU0Oltk1+Z2+nKpU8nTJx44wMRMkclCmV19berCJyINy90LZpYGfp9al71vA8ML5pfMTL8nZUPRB15EZBXVWpgmCd35tX98jLlila5skn0nZtnUmuKuJ4a5bmdX1GGKiJyRmW0DPgp82N2/aGaXAb0L5qeA0lnW3QPsAdi+ffsaRCuyNnQNlIjIKhrozPCG3Vv54t6jfOU7J3hyeJpEPODnbrqMXX1Zbr66L+oQRUTOqN7y9DfAHnf/IoC77weyZnZtfbG3UbsO6jnc/XZ3H3T3wZ6enrUIWWRNqAVKRGQNmAUEAVTdufnqPq7b2cUbn98fdVgiIufyGuB5wCfN7OS0u6mNxPdRMwuBMeC2SKITiYgSKBGRNfD2G3YwX6qQSye464lhtnS06NonEWlo7v554Gz/6blhLWMRaSRKoERE1sDJG+t+4oEDTMyV+LU7HuP6S7t1M10REZEmo2ugRETWyEBnhpuv7mPv0BRPD89w95MndB8oERGRJqMESkRkDe0bniEeGIl4QH8urftAiYiINBl14RMRWUOO05NNkcskuO3Gneq+JyIi0mSUQImIrKFX7drMofE8LYk4o7PFqMMRERGRC6QufCJNzsx+18zuN7NvmNn7o45Hzm2gM8NtN+ykty3F6GyRw+P5qEMSERGRC6AESqSJmdktQJ+73whcD9xiZs+POCw5j4HODF3ZJJUKGkRCRESkyagLn0gTc/cvmNmXF0wKgEJU8cjS1QaPmNQgEiIiIk2mIRMoM/ttYNjd/yrqWEQagZm9GvitM8z6cXcfNrN+4Hbgdnd/6gzr7wH2AGzfvn1VY5WlGejMaAAJERGRJtSQCZSILObudwN3n2memd0E/ArwS+6+7yzr304twWJwcNBXJ0oRERGR9a9hEigz+xDwcuAIUAaGL3Zbf3P/M/zt1w+RS8eYKzsz80Um5iq0pAK6WhJYPE7SnP0jeaphSE82xXWXd7Mtl+ErTxzlW0fngNrByaaM7vYUlYqTSMToyiQ4MjFPWyqGBcaJ2TIJc3b0tjE3X2L/6DxdLTG62tMcHJ1jrhTS3Zog15piR3eGsZkiRybmceDma/p4dizPvxwcZ6oQkk0ZL75kE62pJI8dGmVoqkJbAtpb04xMFSg7bMoEtKWTjM0W2JRJ0dWW4oUDOb609yijcxUSAXRnk8wWq5SrVTrSSYIA5qvO1X1ZDk3Mk8skmS+UeWa0th9Vr/2e3pprIRkzDo7lmSiEJICetgRBYOwe6KAtneTxoUna0wlSiYCnT8zS3pIgGQsYmshTDeGll3ayf2SO8dkCiViM+XKVq7a0UyxXOTwxTxiGFMoh5Sps6UhyeW87+VKZbx6eoliF1gQkYgG4EwIv2p4jm07w3RNzvOyyLu57apRnR/P051JsyaU5OD7PW79vgCs2t/G7n/s2I7MVAqA9E6c/18LYbJH2lgSb21Nc2ttOWzrO0ESeJ47N0JtN8PyBTXzxW8eYKpRoTcQ4Ol0kHQvoaUtxxZY25otVCtWQodFZxuar9GUTVM3Y0Zlhqlhhcq7EbS/byTtuvHRZn/+LZWZXAb8E/Ii7lyIJQqSJmVkA/BkwCFSBf+Pu376YbS2seybzFSbnSxRKIRZAb1uSRCxGKh7jqRMzeOhs62rl9df28fX9ozx6cIpS/V8brQnobkuxpT3Ns+N5YoHR05rEgoDhyTxlN3oycXLZFIVylcNjeWZLVa7sbaVScZ4Zz+MhDHS20NOeIh2PkS9W+O5onk3pgN6ODKE7x8bnGJ4pkwjgkp5WcDg4NkehDDGDZALKZYgnjMt7sozNFpmeL3FpbxtmRl9HiscOTXB8ukI2AclkHMcpVULiZrSl4wSxgN5skv2j81y7Ncuzo3lOzBRJxQKqOKmYcVlvOwdGZhidqxICm9JGLBYj1xLnlhf0s39kjiNjs5TdaE0YhycKJGPGtds6eGZklqHJAq2JGIVyFQc6WuIUKk57OsFcscx8OcQ9ZLbgYHB5TwstqQTTc0X2j9dGwkwBPR1JAjOm5st0pGO0ZVJc09/OXLHC/fvHKBSrbOtMEzdjvFCluzVBsVxlaLKAAe7QkoqxKR0niMVIxAzDuaQny3yxypHxPCdmS/Rk4rS1phifKVJ1Z6ZYZqZQq/PSCdiUjlMOnUKpSr4MBvRkY8wUQ+LmlNzYsSnNf3zzC7huZ9cyzwARuRjmHv0/o83sDcDPAj9M7RqOzwKfO70L32ndkF5y8ODBM27vjR/+GgfH8hTKVRKxgHw5PDUvYbUf6IVKyMmpcatVVju6Mjx0YILwtO0FQGC1h1N7WP2wVU5WeKkY+WL11LrpGBSq39tGJhEQjxkeOnOlkFgA7S0JDBidK59ariVh9LalODj+vctYrP6ep782ahVFLDDG58qc6S8ZAGF9H4FaDECp4s9ZPhHUKs2FcQPEA2hNxmhJxpierxCz2n6Xq+Gp41eo1uJJxmrrlKq1GAMgHquVxSrPec/u1gRT82XKpx/0BccjEQtwN5JxY3KuzMnwEgEEQe14Xbk5y91Pjp7avtXf24KTxynBpkyCrtY0z47PMj1fJpOM05KMcWK6QLnKor97KgbpRJxEzChUQmaL3zso6bhhBmGtLuby3iyff+/3nzF+M3vE3QfPvHfLZ2Z/BLweGFkw+Y/d/bNnW2dwcNAffvjh1QpJZEWs9rmz4H3agNe7+9+b2fcDP+ru7zltmQuuewKrfeedFADpRECxElKtf1ElY8bm9hSTcyVmSou/BGP1OicMa99NqRi4GaV6pRO32vbK1fDUd3ZQX69c334MyCQDUokYU/NlKmHtOyuTimHui94zXh9SqnKW7+IYtTi8/h5tqVqyNLWgwji9roLa92Wp4sTq9R98r948uU4igNN2/9T0zR1pzODEVIEgMMpVJ6xXxK3pGPlS9YwxB3Dqe/r0mAzoSMeZLFSes87JOh5q9XZbS5z5UpXp+n6ePMZVhyD43t/n9O0kYrX3TsSC+qNWT4cn58eNSsVPHdPTnelYLpQwuO3lO/jNW6557rprdO5cqPPVPTt+/QtrGI1sVM/+3i3nnL/U86dRWqCuAe71WjZXNbNvnGmhpXZDesvgtotugcoXSw3RAlWtqgVqqS1QP/Lifq7Y3MYTQ5NLaoEamEivaAvUWwa3rdyZcIHc/Veodd8TkYuTAG42s18AksCTpy9wMXXP0lqgMmqBWmoLVItaoE5vgbr56r4VPA1E5EI0SgL1LeC9ZvYn1CqwVwH/82I39o4bL73oLlW/+JorL/ZtI/Uf3rQ76hAi98bn91/Ueu977VUrHImINJG3A3Pu/v1m9hrgbRe7oYuue157se8oIiJRaIj7QLn7P1FLoh6i1n3v8WgjEhGRDeILwMvN7EvA84FctOGIiEija5QWKNz9N4DfiDoOERHZONz9u8BLFkz646hiERGR5tAQLVAiIo3s8HieO/ce5fB4PupQREREJGIN0wIlItKo9g5NMjxZBCZ181sREZENTgmUiMh57O7PAZP1UkRERDYyJVAiIucx0JlRy5OIiIgAugZKRERERERkyZRAiYiIiMgFMbO3mtlDZvaImX0o6nhE1pISKBERERFZMjO7BPgdareBHgS2mdmt0UYlsnaUQImIiIjIhXgdcIe7T7m7Ax8BfjjakETWjhIoEREREbkQXcDwgtfHgN6IYhFZc1b7x0HzMbMR4OA5FukGRtconAvRqHFB48bWqHHB+WO7xN171iqYpVjCuXMujfy3WAnav8bRcOcOnPf8aeTjq9guXKPGBeeObdXPHTP7GWCnu/9m/fWrgJ9297efttweYE/95S5g3zk226jHu1HjAsV2MVbkd1vTJlDnY2YPu/tg1HGcrlHjgsaNrVHjgsaObTWs9/3V/slyNPLxVWwXrlHjguhjM7MtwJeB6919xsw+Cfwfd79jGdtsyOPdqHGBYrsYKxWX7gMlIiIiIkvm7sfM7IPA18ysBNy3nORJpNkogRIRERGRC+LunwI+FXUcIlFYz4NI3B51AGfRqHFB48bWqHFBY8e2Gtb7/mr/ZDka+fgqtgvXqHFBY8d2sRp1nxo1LlBsF2NF4lq310CJiIiIiIistPXcAiUiIiIiIrKimjKBMrO3mtlDZvaImX3oDPPfW5//mJn9yoLprzKzB+rzPmlmyTWO6z1m9mA9hr8ws6A+/bfrsd5Tf+x57tZXPbZ7TntcV5/+AjO7tx7358xs01rFZWY/dlpMQ2b2b+vzVvWYmdlbzOzvzezQhcS92serEZjZ75rZ/Wb2DTN7f9TxrJTznSPNrr5/D5jZffXPdibqmJpJo9Y7S4wtkrqnUeud88WmumflNer506jnzhJj0++2xe+9tueOuzfVA7iE2n0EOgAD/hdw64L5LwMeAJL1x/8HDAJZ4FlgW325PwB+eQ3juga4C4jVX/8D8Kb6808AV0Z1zOrLPHCG9Qz4DvDC+ut3A/91LeNasGwr8HWgdY2O2Sup3StgeKlxr/bxaoQHcAvw8frzGPAg8Pyo41qB/VryZ7EZH0An8DDQUn/9h8B7o46rWR6NWu8sMbZI6p5GrXeWGtuCZVX3rP5nVL/bLuIzGsX5o3Pne49mbIF6HXCHu095bW8/AvzwgvlvBP6bu5fcvQT8NfBD1E7Q+939SH25vzptvVWNy90fp3biVeuT4sB8/fl24H31DPiTZta9gnGdNzYziwO5eub+NTP7HTOLAVcCE+7+WH3Rj1H7Ab0mcZ3mV4G/cPe5+utVPWbufq+7n+1Ga2eLe7WPV+Tc/QvUvmBOCoBCROGspAv5LDYddx8HXu7uJ79zFn7/yPk1ar1z3tgirHsatd45b2ynUd2zfI16/jTquXPe2PS77bnW+txpxgSqCxhe8PoY0LuE+edbb7Xjwt0LZpYzs78FHnP3/1uf9Q1qH7JXUrsx3X9dwbiWElsWuIfa3cJvArYA7zp9vfoX20oOfb+kv0m9OfVNLB4udbWP2bks6TO2CsdrzZjZq8/QPeAeM+tz96KZ9QOfBW5396eijncFrPb3Q+Tq3z9pM/tToIXajxRZmkatd5YSW1R1T6PWO0uJDVDds4Ia9fxp1HNnKbHpd9uFWfFzpxkTqOMs/mP11aedb/751lvtuDCza6k1G/6pu//Hk9Pd/VfdfW/95T8A161gXOeNzd0n3f3/qZch8L/rMSxaz8xSQGmt4lrgZ4G/dffKgphX+5idy5I+Y6twvNaMu9/t7jed4TFsZjdR++/NL7n7x6KNdMWs9vdD5MxsG/Bp4Evu/nML/qsq59eo9c5SYouq7mnUeue8sS2gumdlNOr506jnznlj0++2C7by546vUl/E1XpQy7IfB9rqrz/J4j6rg8DXgAS1azTuqU9LA98FttSX+0+sbF/a88XVQy3j7jhtPQN+5+R0an0y/2GNj1kf8O/53rD2HwZ+vv78MeDa+vN3sbJ9ac8Z14Llngb61vKYLXivM/WlPWvcq3m8GuEBXEWt5SkZdSwrvF9L+iw266P+/fdlYCDqWJrx0aj1zhJji6TuadR6ZymxLVhOdc/afBb0u+3CY9PvtrPHuCbnTuQn1kUenH8NfJPaxWl/VJ92z8k/FvAr9fnfWHiyAa8BHgHuB/47K/wj8FxxAb8A7K+/PvnYU1/mx4BH618gn1v4oVuj2Az4YH3+fdSaVRP1ZV5I7eLOf6b2w3nTGv8tB4GHz7Deqh+z+vsML3j+d3zvQsPnxL0WxyvqB/BH9S+hhZ/jN0Ud1wrt2xn/puvhQe0ag6HT/m6/FXVczfRo1HrnfLFFWfc0ar2zxL+n6p61Pd763XZhsel329njW5NzRzfSFRERERERWaJmvAZKREREREQkEkqgRERERERElkgJlIiIiIiIyBIpgRIREREREVkiJVAiIiIiIiJLpARKRERERERkiZRAiYiIiIiILJESKBERERERkSX6/wFXKQCOQJNykAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x864 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scatter_matrix(data, data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57a03000-a5ba-4aa8-90e7-8b343302a893",
   "metadata": {},
   "source": [
    "# Data generation with changing endogenous variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ee491153-1d1f-42ee-a1c7-d6068371ed49",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = gen.generate(interv_endog={\"x1\": np.full(N, \"c\")})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fff3f4c8-197f-4480-83dd-eb70e4bcd68c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_histogram(X, suptitle=\"test data\")\n",
    "draw_histogram(data, suptitle=\"generated data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e56697f0-589a-4839-8889-d9b80f11d0bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scatter_matrix(data, data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3acf6ad5-7771-474a-9113-76e8c8f7a5b3",
   "metadata": {},
   "source": [
    "# Data generation with changing exogenous variables\n",
    "Here, the noise is prepared using the estimated probability density function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d538caf4-15dc-4f79-8ca7-85fae6883c50",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Assume normal distribution for residuals of x2\n",
    "params = st.norm.fit(gen.error_effect_, floc=0)\n",
    "samples = st.norm(*params).rvs(X.shape[0])\n",
    "\n",
    "plt.hist(samples)\n",
    "plt.ylabel(\"histogram\")\n",
    "x = np.linspace(-1, 1, 100)\n",
    "ax = plt.twinx()\n",
    "ax.plot(x, st.norm(*params).pdf(x), color=\"red\")\n",
    "ax.set_ylabel(\"pdf\")\n",
    "plt.axvline(0, color=\"black\", lw=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "87bb623c-bbc0-4528-a04e-7b1672a4e264",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = gen.generate(interv_exog={\"x2\": samples})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c0d86c86-6a19-44c4-be73-f89aff7b3fb6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_histogram(X, suptitle=\"test data\")\n",
    "draw_histogram(data, suptitle=\"generated data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "d18db897-3d71-41bb-8fbb-4c649b74888e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scatter_matrix(data, data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bb39c8b-c2a3-493c-a31a-bfd023c08582",
   "metadata": {},
   "source": [
    "# Data generation with changing the effect model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a54811d6-b60a-48fa-ac87-3098d21e58a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# make multi layer perceptron model\n",
    "transformers = [\n",
    "    (\"categorical\", OneHotEncoder(sparse_output=False), [\"x1\", \"x3\"]),\n",
    "    (\"numeric\", StandardScaler(), [\"x4\"]),\n",
    "]\n",
    "transformer = ColumnTransformer(transformers=transformers)\n",
    "\n",
    "model = Pipeline([\n",
    "    (\"transformer\", transformer),\n",
    "    (\"estimator\", MLPRegressor(max_iter=500))\n",
    "])\n",
    "\n",
    "param_grid = {\n",
    "    \"estimator__hidden_layer_sizes\": [(10, 10), (10, 10, 10)],\n",
    "}\n",
    "cv = GridSearchCV(model, param_grid)\n",
    "cv.fit(X[[\"x1\", \"x3\", \"x4\"]], X[\"x2\"])\n",
    "\n",
    "# The arguments are explanatory variables, residuals and user-defined args.\n",
    "# The output is the value of the generated \"effect\" variable.\n",
    "def effect_model(X, error, args):\n",
    "    generated = args.predict(X) + error\n",
    "    return generated\n",
    "\n",
    "# The user must provide \"effect_model\" as an argument. If necessary, \"effect_model_args\" can also be given.\n",
    "data = gen.generate(effect_model=effect_model, effect_model_args=cv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "423ec36a-e1a0-4ce3-91e8-aa32dbfbfa10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_histogram(X, suptitle=\"test data\")\n",
    "draw_histogram(data, suptitle=\"generated data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "99e34014-441e-49a9-9091-d664e538f50f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scatter_matrix(data, data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a219375b-5338-415d-a2b1-98b0d101840e",
   "metadata": {},
   "source": [
    "# Data generation with changing the cause model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "8685e85c-ea5d-48a3-8da8-65cc488dea51",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['x3', 'x4'], dtype='object')\n"
     ]
    }
   ],
   "source": [
    "def cause_model(X, error, args):\n",
    "    # The explanatory variables for x1 are x3 and x4.\n",
    "    # The contents of X.columns are [*adjustments]\n",
    "    print(X.columns)\n",
    "\n",
    "    p = args.predict_proba(X)\n",
    "    \n",
    "    generated = []\n",
    "    for p_ in p:\n",
    "        generated.append(np.random.choice(args.classes_, p=p_))\n",
    "    return generated\n",
    "\n",
    "data = gen.generate(cause_model=cause_model, cause_model_args=gen.model_cause_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "55454c9b-9151-4971-a21a-450796bc9e39",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_histogram(X, suptitle=\"test data\")\n",
    "draw_histogram(data, suptitle=\"generated data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "0ddaceb1-b9c1-4296-a24f-0bc36d309b4d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_scatter_matrix(data, data)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}