NNW/Lösungen_M/AB1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "641931b5",
   "metadata": {},
   "source": [
    "# Aufgabe 1\n",
    "Arbeiten mit NumPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "064ce97d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "64c14dbd",
   "metadata": {},
   "outputs": [],
   "source": [
    "W = np.array([[1., 2, 3], [3, 4, 5]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bf259722",
   "metadata": {},
   "outputs": [],
   "source": [
    "W.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "311adc5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "W.shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d41d05fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "W.shape[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "911571e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "W.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aa7d64ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "W.T.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6fee5b46",
   "metadata": {},
   "outputs": [],
   "source": [
    "type(W)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b064a293",
   "metadata": {},
   "outputs": [],
   "source": [
    "type(W.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "915e6f9e",
   "metadata": {},
   "outputs": [],
   "source": [
    "r = np.arange(10)\n",
    "print(r)\n",
    "r.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "716e7295",
   "metadata": {},
   "outputs": [],
   "source": [
    "M = np.arange(12).reshape(3,4)\n",
    "print(M)\n",
    "print(M.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "92baea0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "M[2,0]\n",
    "M[1,2]\n",
    "M[1,:]\n",
    "M[1]\n",
    "M[:,1]\n",
    "M[:,[1]]\n",
    "M[:,[3, 0, 1, 1]]\n",
    "M[:,2:4]\n",
    "M[-2,:]\n",
    "M[-2:,:]\n",
    "M[:,2] = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d78e777",
   "metadata": {},
   "outputs": [],
   "source": [
    "M > 4\n",
    "M[M > 4]\n",
    "M[M > 4] = -17\n",
    "M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "27fefbbb",
   "metadata": {
    "lines_to_next_cell": 1
   },
   "outputs": [],
   "source": [
    "s = 0\n",
    "for i in range(M.shape[0]):\n",
    "    for j in range(M.shape[1]):\n",
    "        s += M[i,j]\n",
    "        print(s,',',sep='',end='')\n",
    "    print(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a00b5af1",
   "metadata": {
    "lines_to_next_cell": 1
   },
   "outputs": [],
   "source": [
    "def func(x):\n",
    "    print(x * x)\n",
    "    return x"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99670ae0",
   "metadata": {},
   "source": [
    "# Aufgabe 2\n",
    "Laden und Plotten des Iris-Blüten Datensatzes"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "941aabcc",
   "metadata": {},
   "source": [
    "a) Je Iris-Art gibt es 50 Datenpunkte."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e91507b",
   "metadata": {},
   "source": [
    "b) Laden des Datensatzes mit `loadtxt`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "530bf005",
   "metadata": {},
   "outputs": [],
   "source": [
    "iris_data = np.loadtxt(\"../supplement_files/iris.csv\", delimiter=\",\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "25b3a3c1",
   "metadata": {},
   "source": [
    "c + d) Zerlegen der Daten in Matrizen X und T und den Konventionen anpassen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "22e5460d",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris_data.T[0:4]\n",
    "T = iris_data.T[4:]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "561b5bc1",
   "metadata": {},
   "source": [
    "e) Scatterplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "da07641f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.scatter(X[0], X[1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e673709f",
   "metadata": {},
   "source": [
    "f) Scatterplot mit Farben"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a7d4ead0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import colors\n",
    "\n",
    "cmap = colors.ListedColormap([\"red\", \"green\", \"blue\"])\n",
    "\n",
    "plt.scatter(X[0], X[1], c=T, cmap=cmap)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a5307aa",
   "metadata": {},
   "source": [
    "# Aufgabe 3\n",
    "Interaktive 3D Scatter Plots in Python"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "094b1e57",
   "metadata": {},
   "source": [
    "a + b) Iris-Blüten Datensatz mit plotly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "da3b79d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "data": [
        {
         "hovertemplate": "species=setosa<br>sepal_length=%{x}<br>sepal_width=%{y}<br>petal_length=%{z}<extra></extra>",
         "legendgroup": "setosa",
         "marker": {
          "color": "#636efa",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "setosa",
         "scene": "scene",
         "showlegend": true,
         "type": "scatter3d",
         "x": {
          "bdata": "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",
          "dtype": "f8"
         },
         "y": {
          "bdata": "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",
          "dtype": "f8"
         },
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          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
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          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
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           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "\n",
    "df = px.data.iris()\n",
    "fig = px.scatter_3d(df, x='sepal_length', y='sepal_width', z='petal_length', color='species')\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1466c1b4",
   "metadata": {},
   "source": [
    "c) Plot as html speichern."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4c20a687",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = px.data.iris()\n",
    "fig = px.scatter_3d(df, x='sepal_length', y='sepal_width', z='petal_width', color='species')\n",
    "fig.write_html(\"iris.html\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a71792ac",
   "metadata": {},
   "source": [
    "d) Nur Merkmale zwei bis vier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "5659a0a1",
   "metadata": {},
   "outputs": [
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           "bgcolor": "#E5ECF6",
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          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
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           "ticks": "",
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     },
     "metadata": {},
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   ],
   "source": [
    "df = px.data.iris()\n",
    "fig = px.scatter_3d(df, x=\"sepal_width\", y=\"petal_length\", z=\"petal_width\", color=\"species\")\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5d1f634",
   "metadata": {},
   "source": [
    "# Aufgabe 4\n",
    "Der Thyroid Disease Datensatz -- ein etwas gröÿerer Datensatz"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "295ec0d0",
   "metadata": {},
   "source": [
    "a) Der Datensatz hat 21 Merkmale."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0d36e655",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22\n"
     ]
    }
   ],
   "source": [
    "patient_data = np.loadtxt(\"../supplement_files/thyroid-ann-train.data\")\n",
    "print(len(patient_data[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a313d84d",
   "metadata": {},
   "source": [
    "b) 15 Merkmale sind binär und 6 sind kontinuiertlich. Die Patientengruppe ist nominales Merkmal."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6c34fe8",
   "metadata": {},
   "source": [
    "c) Es gibt drei verschiedene Patientengruppen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "91a74614",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n"
     ]
    }
   ],
   "source": [
    "X = patient_data.T[0:21]\n",
    "T = patient_data.T[21:]\n",
    "\n",
    "print(np.unique(T).size)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d6abcd4",
   "metadata": {},
   "source": [
    "d) Anzahl der Patienten pro Gruppe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "8f075e3d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  93  191 3488]\n"
     ]
    }
   ],
   "source": [
    "print(np.unique(T, return_counts=True)[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e11160cb",
   "metadata": {},
   "source": [
    "e) Plotten verschiedener Merkmalskombinationen, eingefärbt nach Patientengruppe."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a46c1fc9",
   "metadata": {},
   "source": [
    "i) Merkmal 0, 16, 17"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "60a641ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "data": [
        {
         "hovertemplate": "Gruppe=3<br>Merkmal 0=%{x}<br>Merkmal 16=%{y}<br>Merkmal 17=%{z}<extra></extra>",
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         "marker": {
          "color": "#636efa",
          "size": 3,
          "symbol": "circle"
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         "mode": "markers",
         "name": "3",
         "scene": "scene",
         "showlegend": true,
         "type": "scatter3d",
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2Kj/8qfHSTWJQPy1DHOviNho/kst/SL99XT8tQxzr4jYaP/yp8dJNYlA/L26jAbwFcj+U9gZfmExVP2EyVTAqqUM/x7q4jQbwRj/8qfHSTWJAP5LLf0i/fU0/x7q4jQbwVj+Sy39Iv31NPy1DHOviNlo/lPYGX5hMVT9fB84ZUdpbPy1DHOviNio/LUMc6+I2Sj8tQxzr4jYqP2EyVTAqqVM/YTJVMCqpQz8tQxzr4jYqPy9uowG8BWI/LUMc6+I2Oj+H+fIC7KODP5LLf0i/fV0/RiV1ApoIaz8tQxzr4jYqP/PIHww8914/exSuR+F6ZD9hMlUwKqkzP8WPMXctIV8/YTJVMCqpMz+U9gZfmExVP/PIHww8914/+n5qvHSTWD9hMlUwKqkzP2EyVTAqqVM//Knx0k1iUD9hMlUwKqkzP8e6uI0G8EY/YTJVMCqpUz/8qfHSTWJQP5LLf0i/fU0/YTJVMCqpMz8tQxzr4jZaP2EyVTAqqWM/YTJVMCqpQz/8qfHSTWJQP2EyVTAqqTM/YTJVMCqpMz/zyB8MPPdeP/PIHww8914/88gfDDz3Xj/zyB8MPPdeP/PIHww8914/kst/SL99TT9hMlUwKqkzP2EyVTAqqTM/kst/SL99TT8bL90kBoGVP/PIHww8914/88gfDDz3Xj9hMlUwKqkzP/PIHww8914/lPYGX5hMVT9hMlUwKqkjP2EyVTAqqTM/YTJVMCqpIz/8qfHSTWJAP/yp8dJNYkA/nzws1JrmfT/zyB8MPPdeP/PIHww8914/88gfDDz3Xj9hMlUwKqkjP/PIHww8914/88gfDDz3Xj/zyB8MPPdeP/PIHww8914/YTJVMCqpIz9hMlUwKqkzP0PFOH8TCmE/YTJVMCqpIz9hMlUwKqkjP8e6uI0G8FY//Knx0k1iQD9hMlUwKqkjP2EyVTAqqSM/YTJVMCqpIz/8qfHSTWJQP5LLf0i/fU0/YTJVMCqpIz97FK5H4XpkP2EyVTAqqUM/YTJVMCqpIz9hMlUwKqkjP2EyVTAqqTM/x7q4jQbwVj9hMlUwKqlDP/PIHww8914/YTJVMCqpIz8tQxzr4jYqP2EyVTAqqSM/YTJVMCqpIz/8qfHSTWJQP0PFOH8TCmE/YTJVMCqpIz9hMlUwKqkjP/PIHww8914/88gfDDz3Xj/zyB8MPPdePy1DHOviNho/+n5qvHSTeD9fB84ZUdpbP2EyVTAqqSM/YTJVMCqpIz9hMlUwKqkjP2EyVTAqqSM/YTJVMCqpIz8tQxzr4jZKP/PIHww8914/YTJVMCqpIz8vbqMBvAVSPy1DHOviNjo/XwfOGVHaWz8vbqMBvAVSP5LLf0i/fU0/x7q4jQbwRj9hMlUwKqkjP2EyVTAqqUM/LUMc6+I2Sj/zyB8MPPdeP2EyVTAqqVM/LUMc6+I2Kj9hMlUwKqlDPy1DHOviNlo/LUMc6+I2Wj9hMlUwKqlDPy1DHOviNio/LUMc6+I2Kj/8qfHSTWJQP1OWIY51cXs/LUMc6+I2Kj8tQxzr4jYqP5T2Bl+YTFU/rthfdk8eZj/FjzF3LSFvPy1DHOviNio/LUMc6+I2Kj8tQxzr4jYqP/PIHww8914//Knx0k1iUD/zyB8MPPdeP/PIHww8914/88gfDDz3Xj/zyB8MPPdeP/PIHww8914/88gfDDz3Xj956SYxCKxsP/yp8dJNYjA/88gfDDz3Xj/HuriNBvBWP/yp8dJNYjA/x7q4jQbwVj/8qfHSTWJAP/yp8dJNYjA//Knx0k1iMD/8qfHSTWIwP5T2Bl+YTFU//Knx0k1iMD/8qfHSTWIwP/yp8dJNYjA//Knx0k1iQD/8qfHSTWIwP/p+arx0k1g/YTJVMCqpQz9fB84ZUdpbP5T2Bl+YTFU//Knx0k1iMD/HuriNBvBmP0hQ/Bhz12I/88gfDDz3Xj+Sy39Iv31NPy9uowG8BVI//Knx0k1iMD9DxTh/EwphPy1DHOviNio/x7q4jQbwRj8tQxzr4jYqPy1DHOviNjo/LUMc6+I2Kj/HuriNBvBWP2EyVTAqqUM/YTJVMCqpUz/HuriNBvBGPy1DHOviNko/LUMc6+I2Kj8tQxzr4jYqPy1DHOviNio/LUMc6+I2Kj/8qfHSTWJQP8e6uI0G8EY/YTJVMCqpQz8tQxzr4jYqPy1DHOviNio/88gfDDz3Xj/zyB8MPPdeP/PIHww8914/88gfDDz3Xj/zyB8MPPdeP2EyVTAqqSM/4JwRpb3BZz9hMlUwKqlTPy1DHOviNio/x7q4jQbwRj8tQxzr4jZaP2EyVTAqqSM/88gfDDz3Xj/FjzF3LSFfP5LLf0i/fU0/L26jAbwFYj/8qfHSTWJQP8e6uI0G8FY/LUMc6+I2Gj9DxTh/EwphP/yp8dJNYlA/YTJVMCqpIz+U9gZfmExlP2EyVTAqqUM//Knx0k1iQD/HuriNBvBGPy1DHOviNjo/YTJVMCqpIz9hMlUwKqkjP2EyVTAqqSM//Knx0k1icD8tQxzr4jYqP/yp8dJNYkA/LUMc6+I2Gj8tQxzr4jZKPy1DHOviNjo/LUMc6+I2Kj/zyB8MPPdeP8e6uI0G8EY/x7q4jQbwRj9IUPwYc9diP18HzhlR2ls/88gfDDz3Xj/6fmq8dJNYP2EyVTAqqTM/LUMc6+I2Kj/zyB8MPPdeP/PIHww8914/LUMc6+I2Kj8tQxzr4jYqPy1DHOviNio/+n5qvHSTaD/HuriNBvBGP/yp8dJNYlA//Knx0k1iYD/HuriNBvBWPy1DHOviNio/xY8xdy0hbz8tQxzr4jYqP8e6uI0G8EY/LUMc6+I2Kj/zyB8MPPdeP5LLf0i/fU0/x7q4jQbwRj8vbqMBvAVSPy1DHOviNio/YTJVMCqpMz8g0m9fB855P5LLf0i/fV0/88gfDDz3Xj/zyB8MPPdeP/PIHww8914/88gfDDz3Xj+U9gZfmExVP/yp8dJNYkA/LUMc6+I2Wj9DxTh/EwphP2EyVTAqqUM/L26jAbwFUj/8qfHSTWIwP/yp8dJNYjA/88gfDDz3Xj+Sy39Iv31NP/PIHww8914/88gfDDz3Xj8tQxzr4jZKP18HzhlR2ls//Knx0k1iMD/zyB8MPPdePy1DHOviNio//Knx0k1iMD/8qfHSTWIwP0hQ/Bhz12I//Knx0k1iMD+Sy39Iv31dP/PIHww8914/88gfDDz3Xj+4HoXrUbieP/PIHww8914//Knx0k1iMD/8qfHSTWIwP/PIHww8914/LUMc6+I2Cj/HuriNBvBGP+CcEaW9wWc//Knx0k1iMD8tQxzr4jYKPy1DHOviNjo/LUMc6+I2Cj8vbqMBvAVSPy1DHOviNio/lPYGX5hMVT9hMlUwKqlTP2EyVTAqqTM/88gfDDz3Xj/zyB8MPPdePy1DHOviNjo/LUMc6+I2Cj8tQxzr4jYqP18HzhlR2ls/LUMc6+I2Cj/8qfHSTWJQPy1DHOviNgo/LUMc6+I2Cj8tQxzr4jYKPy1DHOviNio/LUMc6+I2Cj/8qfHSTWJAP/yp8dJNYkA//Knx0k1iQD/6fmq8dJNYP2EyVTAqqTM/O99PjZducj8tQxzr4jYKP/yp8dJNYmA/LUMc6+I2Cj8tQxzr4jYKP2EyVTAqqVM/LUMc6+I2Cj8tQxzr4jYKPy1DHOviNjo/YTJVMCqpQz8tQxzr4jYKPy1DHOviNgo//Knx0k1iYD+U9gZfmExVPy1DHOviNgo//Knx0k1iUD8tQxzr4jYKP0hQ/Bhz12I//Knx0k1iMD/8qfHSTWIwP8e6uI0G8FY/88gfDDz3Xj/8qfHSTWIwPy1DHOviNlo/lPYGX5hMZT8tQxzr4jYKP/yp8dJNYjA//Knx0k1iMD/6fmq8dJNYP/yp8dJNYmA/LUMc6+I2Kj/8qfHSTWIwPy1DHOviNlo//Knx0k1iMD/8qfHSTWIwP2EyVTAqqUM/kst/SL99TT8tQxzr4jY6P/yp8dJNYjA//Knx0k1iMD/zyB8MPPdeP/yp8dJNYlA//Knx0k1iQD/8qfHSTWIwP2EyVTAqqUM//Knx0k1iMD/8qfHSTWIwP/yp8dJNYjA/L26jAbwFYj8tQxzr4jZKP2EyVTAqqUM//Knx0k1iQD9hMlUwKqkjP/PIHww8914/kst/SL99TT9hMlUwKqkjP/PIHww8914/LUMc6+I2Kj/8qfHSTWJAP2EyVTAqqVM/Q8U4fxMKYT/8qfHSTWJAP3sUrkfhemQ/L26jAbwFUj9hMlUwKqlDP2EyVTAqqSM//Knx0k1iQD/8qfHSTWJQP2EyVTAqqSM/YTJVMCqpIz9hMlUwKqkzP2EyVTAqqUM/LUMc6+I2Kj/FjzF3LSFvPy1DHOviNio/kst/SL99TT8tQxzr4jYqP/PIHww8914/XwfOGVHaaz9uowG8BRJ0P18HzhlR2ls/88gfDDz3Xj/HuriNBvBGP2EyVTAqqTM/YTJVMCqpQz/zyB8MPPdePy1DHOviNio/kst/SL99TT8tQxzr4jYqP8e6uI0G8FY//Knx0k1iUD9fB84ZUdprP/yp8dJNYlA/LUMc6+I2Sj9hMlUwKqlDP/yp8dJNYlA/LUMc6+I2Kj/6fmq8dJNYPy1DHOviNio/x7q4jQbwRj9fB84ZUdpbPy1DHOviNio/LUMc6+I2Kj/8qfHSTWJQPy1DHOviNio/LUMc6+I2Kj8vbqMBvAVSPy1DHOviNio//Knx0k1iQD8tQxzr4jYqP8e6uI0G8EY/88gfDDz3Xj9hMlUwKqljPy1DHOviNio/LUMc6+I2Kj8tQxzr4jZKPy1DHOviNko//Knx0k1iQD/HuriNBvBGP/PIHww8914/x7q4jQbwRj8tQxzr4jYqP/yp8dJNYkA/LUMc6+I2Kj8tQxzr4jYqP2EyVTAqqVM//Knx0k1iQD9hMlUwKqlDP/p+arx0k1g/LUMc6+I2Kj/8qfHSTWJAP2EyVTAqqVM/YTJVMCqpQz8tQxzr4jYqP8WPMXctIV8/YTJVMCqpQz8tQxzr4jYqP2EyVTAqqUM/LUMc6+I2Kj/zyB8MPPdeP/PIHww8914/88gfDDz3Xj8tQxzr4jYqPy9uowG8BWI/CRueXinLcD8tQxzr4jYqPy1DHOviNio/x7q4jQbwVj/FjzF3LSFfP2EyVTAqqUM/LUMc6+I2Kj+Sy39Iv31NP3npJjEIrGw/LUMc6+I2Kj956SYxCKyMP5LLf0i/fU0/rK3YX3ZPbj/gnBGlvcFnP5LLf0i/fU0/88gfDDz3Xj8tQxzr4jYqPy1DHOviNio/XwfOGVHaWz8tQxzr4jYqP/PIHww8914/88gfDDz3Xj/zyB8MPPdeP2EyVTAqqUM//Knx0k1iQD/8qfHSTWJQPy1DHOviNio//Knx0k1iUD8tQxzr4jZKPy9uowG8BVI/LUMc6+I2Wj/zyB8MPPdeP/yp8dJNYjA//Knx0k1iMD/8qfHSTWIwP/yp8dJNYjA//Knx0k1iMD/8qfHSTWIwP/yp8dJNYjA/kst/SL99TT+u2F92Tx52P/p+arx0k1g//Knx0k1iMD9hMlUwKqlDP/yp8dJNYjA/88gfDDz3Xj9hMlUwKqlDPxNhw9MrZWk/88gfDDz3Xj+srdhfdk9uP/yp8dJNYjA/88gfDDz3Xj8tQxzr4jZKP5LLf0i/fV0//Knx0k1iMD9hMlUwKqlTP5LLf0i/fU0//Knx0k1iMD/8qfHSTWIwP8e6uI0G8EY//Knx0k1iMD8tQxzr4jZKP5LLf0i/fU0/YTJVMCqpQz+u2F92Tx52P/yp8dJNYjA/L26jAbwFUj/zyB8MPPdeP/yp8dJNYjA/xY8xdy0hfz9DxTh/EwphP2EyVTAqqUM/LUMc6+I2Sj8tQxzr4jZKP5LLf0i/fU0/88gfDDz3Xj9hMlUwKqlDPy1DHOviNlo/lPYGX5hMZT9hMlUwKqlDP3npJjEIrGw/LUMc6+I2aj/zyB8MPPdeP/yp8dJNYjA/kst/SL99bT/zyB8MPPdeP2EyVTAqqUM/L26jAbwFcj9hMlUwKqlDPy9uowG8BVI/4JwRpb3BZz9fB84ZUdpbP5LLf0i/fU0/LUMc6+I2Oj/8qfHSTWIwP/yp8dJNYjA//Knx0k1iMD/8qfHSTWIwP2EyVTAqqSM/RiV1ApoIez/8qfHSTWJgP2EyVTAqqSM/lPYGX5hMRT+Sy39Iv31dP/p+arx0k1g/88gfDDz3Xj/zyB8MPPdeP/PIHww8914/xY8xdy0hXz/xaOOItfgEP8e6uI0G8FY/aR1VTRB1Hz/zyB8MPPdeP/Fo44i1+AQ/bHh6pSxDfD/8qfHSTWIwP/PIHww8914/88gfDDz3Xj/xaOOItfgEP3npJjEIrGw/LUMc6+I2Wj/zyB8MPPdePy9uowG8BVI/+n5qvHSTWD8vbqMBvAVSP/PIHww8914/8WjjiLX4BD+Sy39Iv31dPy9uowG8BWI/+n5qvHSTeD+U9gZfmExlP/PIHww8914/8WjjiLX4JD9DxTh/EwpBP0PFOH8TCmE/lPYGX5hMVT8tQxzr4jZqP6BP5EnSNXM/S7A4nPnVTD9hMlUwKqljP67YX3ZPHmY/Q8U4fxMKMT8TYcPTK2VpP/Fo44i1+PQ+5SfVPh2POT8vbqMBvAVSP0GasWg6O0k//Knx0k1iYD/gnBGlvcFnPxNhw9MrZWk/+n5qvHSTaD/S+8bXnlkSP/PIHww8914/2ubG9IQlLj/HuriNBvBmP/PIHww8914/LUMc6+I2Wj9pHVVNEHUfP5LLf0i/fV0/lPYGX5hMRT8vbqMBvAVSP/Fo44i1+PQ+eekmMQisnD+8eapDboZLPy1DHOviNlo/x7q4jQbwVj9IUPwYc9diP8WPMXctIV8/+n5qvHSTWD/zyB8MPPdeP/PIHww8914/88gfDDz3Xj/zyB8MPPdeP5T2Bl+YTFU/L26jAbwFYj/HuriNBvB2P/Fo44i1+PQ+xY8xdy0hTz8q499nXDhQPzm0yHa+n4o/ObTIdr6fej/zyB8MPPdeP2EyVTAqqVM/xY8xdy0hXz9hMlUwKqlDP8WPMXctIW8/88gfDDz3Xj/FjzF3LSFfP3506spneU4/x7q4jQbwZj8aFw6EZAFDP0GasWg6O0k/YRqGj4gpcT/xaOOItfjkPvFo44i1+OQ+LUMc6+I2Wj97FK5H4XpkP+CcEaW9wXc/88gfDDz3Xj/zyB8MPPdePwOV8e8zLjw/YTJVMCqpMz/zyB8MPPdeP9QrZRniWHc/LUMc6+I2Cj+U9gZfmExFP0PFOH8TCmE/lPYGX5hMVT/8qfHSTWIwP2kdVU0QdR8/vHmqQ26GOz8P1v85zJcXP/PIHww8914//Knx0k1iYD9hGoaPiClxP/yp8dJNYmA/88gfDDz3Xj/8qfHSTWIwP6yt2F92T24/O99PjZducj/xaOOItfjkPpT2Bl+YTFU/GhcOhGQBQz/xaOOItfj0PuCcEaW9wXc/L26jAbwFYj+U9gZfmExFP18HzhlR2ls/IQIOoUrNTj8TYcPTK2VpP2tI3GPpQ0c/8WjjiLX45D6yYyMQr+tHP4m1+BQA40k/YRqGj4gpcT9hMlUwKqlTP5T2Bl+YTFU/x7q4jQbwVj+srdhfdk9uP8e6uI0G8FY/Q8U4fxMKQT/xaOOItfj0PvPIHww8914/8WjjiLX49D7xaOOItfjkPpT2Bl+YTFU/lPYGX5hMVT+8eapDboY7P2EyVTAqqVM/RiV1ApoIaz/FjzF3LSFfP/Fo44i1+PQ+XwfOGVHaWz9fB84ZUdpLP67YX3ZPHmY/xY8xdy0hXz9hMlUwKqlTP95xio7k8m8/Q8U4fxMKYT/HuriNBvBWP3npJjEIrGw/x7q4jQbwNj97FK5H4XpkP7x5qkNuhjs/Dat4I/PITz/zyB8MPPdeP18HzhlR2ls/x7q4jQbwVj8tQxzr4jYKP18HzhlR2ls/XwfOGVHaWz8vbqMBvAVSP0hQ/Bhz13I/LUMc6+I2Wj/HuriNBvBGP5T2Bl+YTFU/L26jAbwFUj9BmrFoOjtJPwkbnl4py3A/xY8xdy0hXz8Y7IZtizJLP2tI3GPpQ0c/x7q4jQbwVj9GJXUCmghrPwkbnl4py3A/SFD8GHPXYj8tQxzr4jZqP/p+arx0k1g/x7q4jQbwZj/xaOOItfjkPmkdVU0QdQ8/LUMc6+I2Wj/zyB8MPPdeP/Fo44i1+EQ/+n5qvHSTWD/8qfHSTWJgP5LLf0i/fV0/YTJVMCqpUz/zyB8MPPdeP/yp8dJNYlA/Q8U4fxMKYT/8qfHSTWJQPw2reCPzyE8/8WjjiLX45D5N27+y0qREP6A3FakwtkA/oE/kSdI1cz+L4H8r2bFBP/PIHww8914/LUMc6+I2Wj/xaOOItfjkPi1DHOviNgo/D9b/OcyXRz9W8UbmkT9IP/Fo44i1+OQ+88gfDDz3Xj/xaOOItfjkPvFo44i1+PQ+RiV1ApoIaz+6SQwCK4d2P/yp8dJNYkA/x7q4jQbwZj84hCo1e6A1P7JjIxCv60c/lPYGX5hMZT/FjzF3LSF/P8e6uI0G8GY/YTJVMCqpQz8vbqMBvAViP/yp8dJNYmA/rK3YX3ZPbj/zyB8MPPdeP/Fo44i1+OQ+kst/SL99XT/S+8bXnlkyP/Fo44i1+OQ+8WjjiLX45D6Sy39Iv31dP7x5qkNuhjs/8WjjiLX49D6U9gZfmExlP/Fo44i1+OQ+CRueXinLcD9W8UbmkT84P2EyVTAqqWM/XwfOGVHaWz+eDI6SV+coP/yp8dJNYmA/YTJVMCqpYz9+dOrKZ3lOP4CfceFASDY/CRueXinLcD/xaOOItfjkPvFo44i1+OQ+LUMc6+I2Wj9IUPwYc9diP8e6uI0G8FY/4JwRpb3BZz9BmrFoOjtJPy1DHOviNlo/YTJVMCqpUz/8qfHSTWJgP8WPMXctIV8/lPYGX5hMVT+L4H8r2bFBP/yp8dJNYjA//Knx0k1iYD/xaOOItfjkPvFo44i1+OQ+0vvG155ZIj97FK5H4Xp0P2EyVTAqqWM/3nGKjuTybz9fB84ZUdpbP+Un1T4dj0k/xY8xdy0hTz+An3HhQEgmP0uwOJz51Tw/lPYGX5hMVT/6fmq8dJNYPwOV8e8zLkw/L26jAbwFYj8vbqMBvAVSP5T2Bl+YTGU/LUMc6+I2aj/HuriNBvBWP8WPMXctIV8/L26jAbwFcj9GJXUCmghrPy1DHOviNlo/aR1VTRB1/z7xaOOItfjkPmEyVTAqqVM/8WjjiLX4RD9hMlUwKqlDPy9uowG8BVI/2ubG9IQlTj9pHVVNEHX/Pg/W/znMlxc/x7q4jQbwRj9hMlUwKqljP1gczvxqDkA/lPYGX5hMVT8aFw6EZAEzP/Fo44i1+CQ/3nGKjuTybz/xaOOItfhEP0PFOH8TCmE/88gfDDz3Xj/8qfHSTWJgP/Fo44i1+AQ/8WjjiLX49D5hMlUwKqkjP/yp8dJNYkA/LUMc6+I2Sj8rhxbZzvezP6yt2F92T24/x7q4jQbwZj8AAAAAAAAAAEPFOH8TCmE/dF5jl6jeSj8tQxzr4jZqPwAAAAAAAAAA5SfVPh2POT9pHVVNEHVPP/p+arx0k1g/kst/SL99bT8vbqMBvAVSP8WPMXctIV8//Knx0k1iYD8vbqMBvAVSP8e6uI0G8FY/x7q4jQbwVj9IUPwYc9diP5T2Bl+YTFU//Knx0k1iYD90XmOXqN5KP18HzhlR2ms/XwfOGVHaaz+Sy39Iv31dP3aJ6q2BrUI/kst/SL99XT/HuriNBvBWPzvfT42XbnI/dF5jl6jeSj/HuriNBvBWP3ReY5eo3ko/Q8U4fxMKQT9hMlUwKqljP/PIHww8914/xY8xdy0hXz+U9gZfmExVP/p+arx0k2g/XwfOGVHaWz/HuriNBvBWP/y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     "metadata": {},
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   ],
   "source": [
    "fig = px.scatter_3d(x=X[0], y=X[16], z=X[17], color=T[0].astype(int).astype(str),\n",
    "                    labels={'x': 'Merkmal 0', 'y': 'Merkmal 16', 'z': 'Merkmal 17', 'color': 'Gruppe'})\n",
    "fig.update_traces(marker={'size': 3})\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "65a3fe5e",
   "metadata": {},
   "source": [
    "ii) Merkmal 0, 17, 18"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "2c37db7b",
   "metadata": {},
   "outputs": [
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",
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          "scene": {
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            "ticks": "",
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           "yaxis": {
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            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
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            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
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          },
          "shapedefaults": {
           "line": {
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          },
          "ternary": {
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            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
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            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
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            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
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           "zerolinewidth": 2
          },
          "yaxis": {
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           "zerolinewidth": 2
          }
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter_3d(x=X[0], y=X[17], z=X[18], color=T[0].astype(int).astype(str),\n",
    "                    labels={'x': 'Merkmal 0', 'y': 'Merkmal 17', 'z': 'Merkmal 18', 'color': 'Gruppe'})\n",
    "fig.update_traces(marker={'size': 3})\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1ff9466",
   "metadata": {},
   "source": [
    "iii) Merkmal 18, 19, 20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "72bfc023",
   "metadata": {},
   "outputs": [
    {
     "data": {
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        {
         "hovertemplate": "Gruppe=3<br>Merkmal 18=%{x}<br>Merkmal 19=%{y}<br>Merkmal 20=%{z}<extra></extra>",
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         "marker": {
          "color": "#636efa",
          "size": 3,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "3",
         "scene": "scene",
         "showlegend": true,
         "type": "scatter3d",
         "x": {
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EILByaME/vCL430p2vD8Sg8DKoUW2P9nO91Pjpbs/c2iR7Xw/tT8ZBFYOLbK9PxKDwMqhRbY/g8DKoUW2sz/6fmq8dJO4PxKDwMqhRcY/6SYxCKwcyj8hsHJoke28P7Kd76fGS7c/AAAAAAAAwD/LoUW28/20P8HKoUW2870/YhBYObTIxj+HFtnO91PDP4ts5/up8cI/qMZLN4lBwD/ZzvdT46WrP7pJDAIrh7Y/UrgehetRuD8CK4cW2c63P4ts5/up8bI/VOOlm8QgwD8CK4cW2c63P7ByaJHtfL8/0SLb+X5qvD9iEFg5tMi2PwrXo3A9Crc/EFg5tMh2vj8fhetRuB7FPwisHFpkO78/yXa+nxovvT8AAAAAAADAP5HtfD81Xro/c2iR7Xw/tT+q8dJNYhC4P4ts5/up8bI/0SLb+X5qzD+TGARWDi2yP2q8dJMYBLY/Gy/dJAaBtT+BlUOLbOe7P1CNl24Sg8A/7FG4HoXrwT/hehSuR+G6P5zEILByaME/JQaBlUOLzD8zMzMzMzOzP2Dl0CLb+b4/uB6F61G4vj+iRbbz/dS4P1pkO99Pjbc/H4XrUbgexT9SuB6F61G4P9Ei2/l+arw/ke18PzVeuj/sUbgehevBPwrXo3A9Crc/VOOlm8QgsD8Sg8DKoUW2P7x0kxgEVs4/y6FFtvP9tD9KDAIrhxa5PyGwcmiR7bw/RIts5/upwT8Sg8DKoUW2P7wi+N9Kdrw/hxbZzvdTwz/b+X5qvHSzP7gehetRuL4/YhBYObTItj9zaJHtfD+1PyPb+X5qvLQ/7FG4HoXrsT9MN4lBYOWwPyGwcmiR7bw/eekmMQisvD9SuB6F61G4P8UgsHJokc0/pHA9CtejwD9xPQrXo3C9P2q8dJMYBLY/IbByaJHtvD/RItv5fmq8PwrXo3A9Crc/VOOlm8QgsD+BlUOLbOe7P7pJDAIrh7Y/AiuHFtnOtz/LoUW28/20P1pkO99Pjbc/WDm0yHa+vz9iEFg5tMi2PxKDwMqhRbY/CtejcD0Ktz/D9Shcj8K1P4ts5/up8bI/iUFg5dAiyz/y0k1iEFi5P7wi+N9Kdrw/6SYxCKwcuj/RItv5fmq8P8HKoUW2870/y6FFtvP9tD8K16NwPQq3P4/C9Shcj8I/46WbxCCwsj+6SQwCK4e2P7Kd76fGS7c/AAAAAAAAwD9U46WbxCDAPzeJQWDl0MI/ke18PzVeuj+BlUOLbOe7P6JFtvP91Lg/SgwCK4cWuT+8IvjfSna8P7ByaJHtfL8/sp3vp8ZLxz8IrBxaZDuvP4GVQ4ts57s/4XoUrkfhuj9Ei2zn+6nBP+xRuB6F68E/2/l+arx0wz+iRbbz/dS4P5MYBFYOLcI/sp3vp8ZLxz/RItv5fmq8P8l2vp8aL70/K4cW2c73wz/b+X5qvHSzP5HtfD81Xro/2/l+arx0wz8hsHJoke28P/T91HjpJrE/6SYxCKwcuj+oxks3iUHAPxBYObTIdr4/WDm0yHa+vz/RItv5fmq8Px+F61G4HsU/w/UoXI/CtT8hsHJoke28P+kmMQisHLo/WDm0yHa+vz8K16NwPQq3P7wi+N9Kdrw/vCL430p2vD+8IvjfSna8P7wi+N9Kdrw/vCL430p2vD+LbOf7qfGyP/LSTWIQWLk/MQisHFpkuz+q8dJNYhC4P+f7qfHSTcI/nMQgsHJosT+JQWDl0CK7P4lBYOXQIss/4XoUrkfhuj/sUbgeheuxP+kmMQisHLo/ObTIdr6fuj+BlUOLbOe7PzEIrBxaZLs/5/up8dJNwj+amZmZmZm5P+Olm8QgsLI/Gy/dJAaBtT+JQWDl0CK7P3Noke18P7U/c2iR7Xw/tT8fhetRuB7FP7wi+N9Kdrw/PzVeukkMwj8j2/l+ary0P7ByaJHtfL8/c2iR7Xw/tT9/arx0kxjEP/hT46WbxMA/MzMzMzMzsz8pXI/C9Si8PzEIrBxaZLs/arx0kxgEtj9aZDvfT423P3Noke18P7U/kxgEVg4twj+8IvjfSna8PxKDwMqhRbY/001iEFg5tD/n+6nx0k3CP1K4HoXrUbg/QmDl0CLbuT8ZBFYOLbK9P28Sg8DKocU/EoPAyqFFtj9KDAIrhxa5P8dLN4lBYMU/eekmMQisvD9SuB6F61G4Pzm0yHa+n6o/0SLb+X5qvD/ByqFFtvO9PwrXo3A9Crc/8tJNYhBYuT+4HoXrUbi+P8uhRbbz/cQ/i2zn+6nxwj+8IvjfSna8P7wi+N9Kdrw/SgwCK4cWuT9g5dAi2/m+P0SLbOf7qcE/7FG4HoXrwT/ZzvdT46W7P7wi+N9Kdrw/f2q8dJMYxD9aZDvfT423PwisHFpkO88/SOF6FK5HwT9WDi2yne/HP2iR7Xw/Nb4/CKwcWmQ7vz/y0k1iEFi5Pz81XrpJDMI/eekmMQisvD+8IvjfSna8P2Dl0CLb+b4/IbByaJHtvD+8IvjfSna8PwIrhxbZzrc/aJHtfD81vj/6fmq8dJO4P2Dl0CLb+b4/8KfGSzeJwT/0/dR46SbBPyGwcmiR7bw/ke18PzVeuj97FK5H4Xq0P2Dl0CLb+b4/6SYxCKwcuj9Ei2zn+6nBPy/dJAaBlcM/8tJNYhBYuT9zaJHtfD+1P4GVQ4ts57s/cT0K16NwvT8CK4cW2c63P5huEoPAysE/4XoUrkfhuj+BlUOLbOe7P/p+arx0k7g/+n5qvHSTyD/RItv5fmq8P5HtfD81Xro/8tJNYhBYuT+JQWDl0CKrP1g5tMh2vr8/2/l+arx0wz+8IvjfSna8PyPb+X5qvMQ/16NwPQrXwz/8qfHSTWLAP7gehetRuL4/ukkMAiuHtj+iRbbz/dS4P5HtfD81Xro/gZVDi2znuz8ZBFYOLbK9P/T91HjpJsE/AiuHFtnOtz9g5dAi2/m+P2Dl0CLb+b4/mG4Sg8DKwT/b+X5qvHSzP7wi+N9Kdrw/EoPAyqFFtj9Ei2zn+6nBPzMzMzMzM7M/7FG4HoXrsT+BlUOLbOe7P2Dl0CLb+b4/QmDl0CLbuT8K16NwPQq3Pylcj8L1KLw/AAAAAAAAwD8bL90kBoG1P+xRuB6F67E/CtejcD0Ktz+8IvjfSna8P6rx0k1iELg/O99PjZdusj+BlUOLbOe7PyGwcmiR7bw/mpmZmZmZuT9aZDvfT423P9v5fmq8dLM/KVyPwvUovD/P91PjpZvEPylcj8L1KLw/+FPjpZvEwD+JQWDl0CK7P5HtfD81Xro/okW28/3UuD/LoUW28/20P7Kd76fGS7c/KVyPwvUovD8K16NwPQq3P7pJDAIrh7Y/nMQgsHJosT9oke18PzW+P6jGSzeJQcA/7FG4HoXrwT+8IvjfSna8P7ByaJHtfL8/ukkMAiuHtj/pJjEIrBy6P7gehetRuL4/KVyPwvUovD8CK4cW2c63Pylcj8L1KLw/+n5qvHSTuD+6SQwCK4fGP2iR7Xw/Nb4/KVyPwvUovD93vp8aL93EP0Jg5dAi27k/mG4Sg8DKwT/n+6nx0k3CP+xRuB6F68E/c2iR7Xw/tT+R7Xw/NV66P5MYBFYOLbI/sp3vp8ZLtz9zaJHtfD/FP3sUrkfherQ/KVyPwvUovD/y0k1iEFi5P8l2vp8aL70/MzMzMzMzsz/0/dR46SaxPyGwcmiR7cw/O99PjZduwj/0/dR46SbBP/LSTWIQWLk/MzMzMzMzwz/0/dR46SbBP5HtfD81Xro/AiuHFtnOtz8zMzMzMzPDP1TjpZvEIMA/WDm0yHa+vz/6fmq8dJO4PxBYObTIdr4/okW28/3UuD+8IvjfSna8P1g5tMh2vq8/uB6F61G4vj+DwMqhRbazP+F6FK5H4bo/46WbxCCwsj/4U+Olm8TAP/LSTWIQWMk/5/up8dJNwj+R7Xw/NV66P9NNYhBYObQ/WmQ730+Ntz9oke18PzW+P+F6FK5H4bo/sHJoke18zz8xCKwcWmS7P0Jg5dAi27k/EoPAyqFFtj+gGi/dJAbBPyGwcmiR7bw/MQisHFpkuz/ByqFFtvO9PxkEVg4tsr0/0SLb+X5qvD8K16NwPQq3P9Ei2/l+arw/w/UoXI/CtT85tMh2vp+6P/hT46WbxMA/001iEFg5tD8zMzMzMzOzPyGwcmiR7bw/vCL430p2vD93vp8aL93EP23n+6nx0s0/wcqhRbbzvT/8qfHSTWLAP6rx0k1iELg/5/up8dJNwj9aZDvfT423P3Noke18P7U/mpmZmZmZuT/D9Shcj8K1P0oMAiuHFrk/okW28/3UuD8IrBxaZDuvPzEIrBxaZLs/ObTIdr6fuj9oke18PzW+P/LSTWIQWLk/iUFg5dAiuz/ByqFFtvO9Pylcj8L1KLw/AiuHFtnOtz8QWDm0yHa+P7pJDAIrh7Y/ppvEILByyD+amZmZmZm5P3Noke18P7U/SOF6FK5HwT8730+Nl26yP3npJjEIrLw/WDm0yHa+rz8Sg8DKoUW2P8P1KFyPwrU/AiuHFtnOtz8K16NwPQq3Pxsv3SQGgbU//Knx0k1iwD8ZBFYOLbK9P4lBYOXQIrs/ke18PzVeuj8CK4cW2c63P7wi+N9Kdrw/g8DKoUW2sz8/NV66SQzCPyGwcmiR7bw//Knx0k1iwD+8IvjfSna8P3npJjEIrKw/uB6F61G4vj+oxks3iUHAP9v5fmq8dLM/IbByaJHtvD8ZBFYOLbK9P4lBYOXQIrs/eekmMQisvD9aZDvfT423P+xRuB6F67E/y6FFtvP9tD+BlUOLbOe7P1pkO99Pjbc/ukkMAiuHtj/RItv5fmq8P8uhRbbz/aQ/vCL430p2vD/hehSuR+G6PzEIrBxaZLs/ukkMAiuHtj956SYxCKy8P2IQWDm0yLY/vCL430p2vD9YObTIdr6/P7gehetRuL4/8KfGSzeJwT9iEFg5tMjGP9NNYhBYObQ/w/UoXI/CxT9KDAIrhxa5P3sUrkfhesQ/j8L1KFyPwj9oke18PzW+P1g5tMh2vr8/gZVDi2znuz8QWDm0yHa+P8uhRbbz/bQ/CKwcWmQ7vz8CK4cW2c63P0jhehSuR8E/GQRWDi2yvT/D9Shcj8K1P9NNYhBYObQ/RIts5/upwT+HFtnO91PDPwrXo3A9Cqc/CtejcD0Ktz/6fmq8dJO4P7wi+N9Kdrw/oBov3SQGwT8CK4cW2c63P1K4HoXrUbg/YhBYObTItj+4HoXrUbi+P7Kd76fGS7c/UrgehetRuD+q8dJNYhC4P3npJjEIrLw/ke18PzVeuj+8IvjfSna8P0SLbOf7qcE/nMQgsHJowT9qvHSTGAS2P9v5fmq8dLM/0SLb+X5qvD8bL90kBoG1P8/3U+Olm8Q/KVyPwvUovD+oxks3iUHAPyuHFtnO98M/CKwcWmQ7vz/hehSuR+G6P3sUrkfherQ/ke18PzVeuj/TTWIQWDm0P6rx0k1iELg/+FPjpZvEwD+TGARWDi2yP1g5tMh2vs8/vCL430p2vD/4U+Olm8TAPzEIrBxaZLs/uB6F61G4vj9oke18PzW+P3Noke18P8U/SOF6FK5HwT9KDAIrhxa5P7pJDAIrh7Y/9P3UeOkmwT9iEFg5tMi2P4PAyqFFtrM/+n5qvHSTuD8j2/l+arzEP7Kd76fGS7c/WDm0yHa+vz+q8dJNYhC4P7Kd76fGS7c/5/up8dJNwj/Jdr6fGi+9P2iR7Xw/Nb4/AAAAAAAAwD/y0k1iEFjJP1TjpZvEIMA/exSuR+F6tD8zMzMzMzOzP/Cnxks3icE/6SYxCKwcuj/l0CLb+X7SP2iR7Xw/Nb4/lkOLbOf7yT956SYxCKy8P1pkO99Pjbc/i2zn+6nxsj9mZmZmZmbGP4ts5/up8cI/6SYxCKwcuj956SYxCKy8P0oMAiuHFrk/qMZLN4lBwD8730+Nl26yP8uhRbbz/bQ/i2zn+6nxwj+BlUOLbOe7P1K4HoXrUbg/VOOlm8QgwD9CYOXQItu5P39qvHSTGMQ/+FPjpZvEwD8AAAAAAADAPzMzMzMzM7M/6SYxCKwcuj8Sg8DKoUW2P3npJjEIrLw/uB6F61G4rj9CYOXQItu5P6rx0k1iELg/hxbZzvdTwz9vEoPAyqHFP5MYBFYOLcI/EoPAyqFFtj8hsHJoke28P6abxCCwctA/vCL430p2vD9aZDvfT43HP0Jg5dAi27k/qvHSTWIQuD9QjZduEoPAP1TjpZvEILA/001iEFg5tD/y0k1iEFi5P9ejcD0K18M/vCL430p2vD97FK5H4XrEP7gehetRuL4/AiuHFtnOtz9zaJHtfD/FP0Jg5dAi27k/wcqhRbbzvT97FK5H4XrEPyuHFtnO97M/c2iR7Xw/xT9GtvP91HjRP8HKoUW2870/ZmZmZmZmxj+JQWDl0CK7PxfZzvdT48U/okW28/3UuD9CYOXQItu5P4PAyqFFtsM/2/l+arx0sz/y0k1iEFi5PyGwcmiR7bw/EFg5tMh2vj/Xo3A9CtfDPwisHFpkO78/+FPjpZvEwD/ZzvdT46W7P5zEILByaME/arx0kxgEtj/RItv5fmq8PzMzMzMzM8M/SgwCK4cWuT+YbhKDwMrBP5zEILByaNE/ObTIdr6fuj9KDAIrhxa5PyuHFtnO98M/i2zn+6nxsj+q8dJNYhC4PzeJQWDl0MI/vCL430p2vD+PwvUoXI/CP3Noke18P7U/arx0kxgEtj/6fmq8dJPIP1TjpZvEIMA/RIts5/upwT9qvHSTGATGPw4tsp3vp8Y/y6FFtvP9tD/y0k1iEFi5P5huEoPAysE/IbByaJHtvD/Jdr6fGi+tPyPb+X5qvLQ/mpmZmZmZyT9KDAIrhxa5PwAAAAAAAMA/f2q8dJMYxD9QjZduEoPAP/LSTWIQWLk/YOXQItv5vj9iEFg5tMi2P2q8dJMYBLY/+n5qvHSTuD+q8dJNYhC4P/p+arx0k7g/6SYxCKwcuj8Sg8DKoUW2P8l2vp8aL70/aJHtfD81rj9CYOXQItu5P8l2vp8aL70/N4lBYOXQwj97FK5H4Xq0P4GVQ4ts57s/30+Nl24Swz+R7Xw/NV66P/LSTWIQWLk/sHJoke18vz8rhxbZzvezPzEIrBxaZLs/UrgehetRuD+4HoXrUbi+P+kmMQisHLo/CtejcD0Kxz+R7Xw/NV66P7gehetRuL4/KVyPwvUovD8K16NwPQq3P0w3iUFg5bA/9P3UeOkmwT+DwMqhRbbDPzm0yHa+n6o//Knx0k1iwD/D9Shcj8K1P+Olm8QgsLI/yXa+nxovvT9U46WbxCCwP1CNl24Sg8A/SgwCK4cWuT9KDAIrhxa5P4lBYOXQIrs/vCL430p2vD+YbhKDwMrBP4/C9Shcj8I/2c73U+Oluz9/arx0kxjEP/hT46WbxMA/BoGVQ4tsxz+cxCCwcmjBP4ts5/up8cI/I9v5fmq8xD8CK4cW2c63P0Jg5dAi27k/mpmZmZmZuT9I4XoUrkfBPwIrhxbZzrc/GQRWDi2yrT+oxks3iUHAP0a28/3UeMk/sp3vp8ZLtz/b+X5qvHTDP9v5fmq8dMM/kxgEVg4twj/jpZvEILCyPyuHFtnO97M/okW28/3UuD+kcD0K16PAP5qZmZmZmbk/I9v5fmq8tD+LbOf7qfGyP5qZmZmZmbk/TmIQWDm00D+amZmZmZm5P3npJjEIrKw/CKwcWmQ7vz9xPQrXo3C9P9nO91Pjpbs/+FPjpZvEwD+BlUOLbOe7Pzm0yHa+n7o/ObTIdr6fuj+8IvjfSna8P+F6FK5H4bo/UrgehetRuD/jpZvEILDCP6RwPQrXo8A/8tJNYhBYuT8ZBFYOLbK9P7wi+N9Kdrw/+n5qvHSTuD/6fmq8dJO4P7pJDAIrh7Y/mpmZmZmZuT8bL90kBoG1P7wi+N9Kdrw/K4cW2c73sz/ZzvdT46W7PxkEVg4tsr0/2/l+arx0wz9MN4lBYOWwP3npJjEIrLw/y6FFtvP9xD8K16NwPQq3P3e+nxov3cQ/g8DKoUW2sz8nMQisHFrEPzvfT42XbrI/mpmZmZmZuT9YObTIdr6/P3sUrkfherQ/EFg5tMh2vj/b+X5qvHSzPxKDwMqhRbY/MzMzMzMzsz/y0k1iEFi5P7gehetRuL4/gZVDi2znuz/LoUW28/20P3npJjEIrLw/9ihcj8L1yD/hehSuR+G6P5zEILByaLE/+n5qvHSTuD/4U+Olm8TAPyPb+X5qvLQ/MQisHFpkuz8hsHJoke28P7wi+N9Kdrw/sp3vp8ZLtz+oxks3iUHAP8l2vp8aL60/pHA9CtejwD9xPQrXo3C9PzEIrBxaZLs/vCL430p2vD+q8dJNYhDIP7ByaJHtfL8/GQRWDi2yvT8hsHJoke28P1CNl24Sg8A/MQisHFpkyz+cxCCwcmixP0SLbOf7qcE/4XoUrkfhuj97FK5H4XqkP5HtfD81Xro/wcqhRbbzvT+8IvjfSna8PzMzMzMzM7M/cT0K16NwvT9oke18PzW+P2IQWDm0yLY//Knx0k1iwD8CK4cW2c63P7ByaJHtfL8/MQisHFpkuz8bL90kBoG1P5qZmZmZmbk/uB6F61G4vj/y0k1iEFi5P1pkO99Pjbc/ObTIdr6fuj+8IvjfSna8P6rx0k1iELg/cT0K16NwvT8IrBxaZDvPPxKDwMqhRcY/aJHtfD81vj+8IvjfSna8P7wi+N9Kdrw/pHA9CtejwD/Jdr6fGi+9P3Noke18P7U//Knx0k1iwD8QWDm0yHa+P2iR7Xw/Nb4/QmDl0CLbuT/pJjEIrBy6P6JFtvP91Lg/46WbxCCwsj/D9Shcj8LFPxkEVg4tsr0/y6FFtvP9xD8rhxbZzvezPxSuR+F6FM4/L90kBoGVwz9CYOXQItu5P+F6FK5H4bo/UI2XbhKDwD9aZDvfT423P/Cnxks3icE/WmQ730+Ntz8v3SQGgZXDP8HKoUW2870/AiuHFtnOtz85tMh2vp+6P8/3U+Olm8Q/QmDl0CLbuT8bL90kBoG1P5zEILByaME/pHA9CtejwD9I4XoUrkfBP6JFtvP91Mg/6SYxCKwcuj8pXI/C9Si8P/yp8dJNYrA/KVyPwvUovD+yne+nxku3PwrXo3A9Crc/9P3UeOkmsT+JQWDl0CK7P9Ei2/l+arw/y6FFtvP9tD/6fmq8dJO4P7wi+N9Kdrw/g8DKoUW2sz+PwvUoXI/CP0Jg5dAi27k/eekmMQisvD8bL90kBoG1P28Sg8DKocU/CtejcD0Kxz/Jdr6fGi+9P1pkO99Pjbc/mpmZmZmZuT8ZBFYOLbK9Pzm0yHa+n7o/SgwCK4cWuT+q8dJNYhC4P4GVQ4ts57s/YhBYObTItj/pJjEIrBy6P+F6FK5H4bo/SgwCK4cWuT8ZBFYOLbK9PxBYObTIdr4/VOOlm8QgwD8zMzMzMzOzP+xRuB6F68E/vCL430p2vD+8IvjfSna8P7wi+N9Kdrw/iUFg5dAiuz97FK5H4Xq0P+Olm8QgsLI/2c73U+Oluz+DwMqhRbazPyGwcmiR7bw/IbByaJHtvD+LbOf7qfGyP7ByaJHtfL8/MzMzMzMzwz/ZzvdT46W7P+F6FK5H4bo/qvHSTWIQuD+amZmZmZm5PwisHFpkO68/arx0kxgEtj+8IvjfSna8P7wi+N9Kdrw/vCL430p2vD+8IvjfSna8P1K4HoXrUbg/I9v5fmq8tD8Sg8DKoUW2P6JFtvP91NA/TDeJQWDlsD8Sg8DKoUW2P7pJDAIrh6Y/QmDl0CLbuT8j2/l+ary0PyPb+X5qvMQ/ObTIdr6fuj/ZzvdT46W7PzvfT42XbqI/30+Nl24Swz8X2c73U+PFP5qZmZmZmbk/EoPAyqFFtj9QjZduEoPAP/Cnxks3icE/aJHtfD81rj/TTWIQWDm0P6JFtvP91Lg/YhBYObTItj8Sg8DKoUW2P6rx0k1iEMg/RIts5/upwT85tMh2vp+qP7pJDAIrh7Y/UI2XbhKDwD/LoUW28/20P/Cnxks3icE/c2iR7Xw/tT9YObTIdr6/PyuHFtnO97M/d76fGi/dxD8ZBFYOLbK9P4GVQ4ts57s/vCL430p2vD9CYOXQItu5PxBYObTIdr4/UI2XbhKDwD8IrBxaZDuvPwIrhxbZzrc/nMQgsHJosT8zMzMzMzOzP1TjpZvEIMA/pHA9CtejsD9qvHSTGASmP4lBYOXQIrs/AiuHFtnOtz/y0k1iEFi5PxkEVg4tsr0/GQRWDi2yvT/y0k1iEFi5PxkEVg4tsq0/EFg5tMh2vj+8IvjfSna8PyGwcmiR7bw/TDeJQWDlsD/b+X5qvHSzPyPb+X5qvLQ/ke18PzVeuj+8IvjfSna8P4ts5/up8bI/SgwCK4cWuT+8IvjfSna8P0Jg5dAi27k/mpmZmZmZuT/D9Shcj8K1P1g5tMh2vr8/gZVDi2znuz8/NV66SQzCP+F6FK5H4bo/WDm0yHa+rz/ByqFFtvO9P9nO91Pjpas/eekmMQisvD9I4XoUrkfBPxkEVg4tsr0/8tJNYhBYuT85tMh2vp+6P/p+arx0k7g//Knx0k1isD9MN4lBYOXAP8l2vp8aL70/+n5qvHSTuD/LoUW28/20Pylcj8L1KLw/TDeJQWDlsD+TGARWDi2yPylcj8L1KLw/+n5qvHSTuD8hsHJoke28P0Jg5dAi27k/+n5qvHSTuD/ZzvdT46W7P5qZmZmZmck/CKwcWmQ7vz+8IvjfSna8P7wi+N9Kdrw/uB6F61G4vj+BlUOLbOe7P3E9CtejcL0/QmDl0CLbuT+BlUOLbOe7PzvfT42XbsI/wcqhRbbzvT9CYOXQItu5PwAAAAAAAMA/sHJoke18vz/RItv5fmq8P/yp8dJNYsA/QmDl0CLbuT+8IvjfSna8P7wi+N9Kdrw/vCL430p2vD+8IvjfSna8P9v5fmq8dMM/y6FFtvP9xD8hsHJoke28P39qvHSTGMQ/MzMzMzMzwz/jpZvEILDCP/yp8dJNYrA/iUFg5dAiuz/pJjEIrBy6P0Jg5dAi27k/uB6F61G4zj+R7Xw/NV66P+kmMQisHLo/okW28/3UuD956SYxCKy8P4lBYOXQIrs/YhBYObTItj9oke18PzW+P+kmMQisHLo/8tJNYhBYuT8ZBFYOLbK9P7Kd76fGS7c/GQRWDi2yvT8ZBFYOLbKtPxBYObTIdr4/TDeJQWDlwD/b+X5qvHTDP5zEILByaME/2/l+arx0oz/8qfHSTWLAPxBYObTIdr4/5/up8dJNwj+4HoXrUbi+P3E9CtejcL0/ke18PzVeuj+TGARWDi3CPz81XrpJDMI/pHA9CtejwD9SuB6F61G4P5HtfD81Xro/MQisHFpkuz/LoUW28/3EP9v5fmq8dMM/x0s3iUFgxT+amZmZmZm5P1g5tMh2vr8/okW28/3UuD/LoUW28/20P9Ei2/l+arw/SgwCK4cWuT8ZBFYOLbK9P7wi+N9Kdrw/vCL430p2vD+8IvjfSna8P7wi+N9Kdrw/vCL430p2vD8X2c73U+PFP1TjpZvEIMA/mpmZmZmZqT+8IvjfSna8P4lBYOXQIrs/j8L1KFyPwj8Sg8DKoUW2P9v5fmq8dLM/qvHSTWIQuD9CYOXQItu5P3E9CtejcL0/qvHSTWIQuD/TTWIQWDm0P/T91HjpJsE/6SYxCKwcyj/ZzvdT46W7P05iEFg5tMg/4XoUrkfhuj9g5dAi2/m+PyuHFtnO98M/IbByaJHtvD9g5dAi2/m+P/p+arx0k7g/oBov3SQGwT+yne+nxku3Pz81XrpJDMI/I9v5fmq8xD+8IvjfSna8P7wi+N9Kdrw/gZVDi2znuz/LoUW28/20P4lBYOXQIrs/TDeJQWDlwD8K16NwPQq3P1CNl24Sg8A/QmDl0CLbuT9g5dAi2/m+PycxCKwcWsQ/EFg5tMh2vj+kcD0K16PAP+F6FK5H4bo/pHA9CtejwD9g5dAi2/m+P1pkO99Pjbc/qvHSTWIQuD8rhxbZzvezP/p+arx0k7g/7FG4HoXrwT/y0k1iEFi5P4lBYOXQIrs/okW28/3UuD/ufD81XrrJP6RwPQrXo8A/cT0K16NwvT/b+X5qvHSzP6rx0k1iELg/VOOlm8QgwD9iEFg5tMi2PzEIrBxaZLs/cT0K16NwvT9SuB6F61G4P6jGSzeJQcA/7FG4HoXrsT/LoUW28/20P6rx0k1iELg/WmQ730+Ntz/ZzvdT46W7P7ByaJHtfL8/ke18PzVeuj9qvHSTGAS2PzEIrBxaZLs/vCL430p2vD+6SQwCK4e2P7pJDAIrh7Y/7FG4HoXrwT+BlUOLbOe7PxBYObTIdr4/KVyPwvUovD8xCKwcWmS7PwaBlUOLbMc/ObTIdr6fuj+iRbbz/dS4P+F6FK5H4bo/QmDl0CLbuT+DwMqhRbazP5HtfD81Xro/QmDl0CLbuT+8IvjfSna8P7gehetRuL4/6SYxCKwcuj/RItv5fmq8P6JFtvP91Lg/WmQ730+Nxz+BlUOLbOe7PxKDwMqhRbY/I9v5fmq8xD+TGARWDi3CP0w3iUFg5cA/VOOlm8QgwD/sUbgehevBP8l2vp8aL70/vCL430p2vD97FK5H4Xq0PxkEVg4tsr0/wcqhRbbzvT8ZBFYOLbK9P1pkO99Pjbc/kxgEVg4tsj/hehSuR+G6P0oMAiuHFrk/CtejcD0Ktz+8IvjfSna8P+xRuB6F68E/VOOlm8QgsD8ZBFYOLbK9P/Cnxks3icE/IbByaJHtvD956SYxCKy8P+kmMQisHLo/ukkMAiuHtj/hehSuR+G6Pxsv3SQGgbU/4XoUrkfhuj+HFtnO91PDP6jGSzeJQcA/O99PjZdusj/6fmq8dJPIP9Ei2/l+arw/I9v5fmq8tD/6fmq8dJO4PxkEVg4tsr0/ObTIdr6fuj+6SQwCK4e2PwIrhxbZzrc/I9v5fmq8xD956SYxCKy8P5HtfD81Xro/2c73U+Oluz+e76fGSzfJP6rx0k1iELg/YhBYObTItj/pJjEIrBy6P0SLbOf7qcE/exSuR+F6xD+TGARWDi2yP7wi+N9Kdrw/vCL430p2vD/8qfHSTWKwP7wi+N9Kdrw/ke18PzVeuj8Sg8DKoUW2P8P1KFyPwrU/uB6F61G4vj/sUbgehevBPzeJQWDl0MI/WDm0yHa+vz+R7Xw/NV66P6rx0k1iELg/hxbZzvdTwz/jpZvEILDCP/hT46WbxMA/K4cW2c73sz956SYxCKy8PyGwcmiR7bw/9P3UeOkmsT/ZzvdT46WrPwisHFpkO68/K4cW2c73oz8CK4cW2c63PyuHFtnO97M/ObTIdr6fuj+cxCCwcmixP0oMAiuHFrk/I9v5fmq8tD9aZDvfT423P3Noke18P7U/EoPAyqFFtj/b+X5qvHSzP/p+arx0k7g/kxgEVg4tsj9iEFg5tMi2P3Noke18P7U/cT0K16NwvT9QjZduEoPAP4ts5/up8bI/WmQ730+Ntz8rhxbZzvezP7gehetRuL4/exSuR+F6tD/ByqFFtvO9P0oMAiuHFqk/UrgehetRuD+amZmZmZm5P4/C9Shcj8I/O99PjZdusj+HFtnO91PDP8l2vp8aL70/CKwcWmQ7vz/Jdr6fGi+9P2Dl0CLb+b4/w/UoXI/CxT+yne+nxku3PwisHFpkO78/VOOlm8QgwD8X2c73U+PFP2IQWDm0yLY/I9v5fmq8tD+PwvUoXI/CP2Q730+Nl84/AiuHFtnOtz85tMh2vp+6P6RwPQrXo8A/vCL430p2vD/Jdr6fGi+9P7wi+N9Kdrw/vCL430p2vD+8IvjfSna8P7wi+N9Kdrw//Knx0k1iwD+R7Xw/NV66PwisHFpkO78/2/l+arx0kz/ZzvdT46W7Pzm0yHa+n7o/hxbZzvdTwz9YObTIdr6/PyuHFtnO97M/2c73U+Olqz/D9Shcj8K1P/p+arx0k7g/6SYxCKwcuj/D9Shcj8K1P5qZmZmZmbk/vCL430p2vD+8IvjfSna8P2q8dJMYBLY/MQisHFpkuz/b+X5qvHSjP0Jg5dAi27k/mpmZmZmZuT85tMh2vp+6P7wi+N9Kdrw/6SYxCKwcuj/pJjEIrBy6Pxsv3SQGgbU/MQisHFpkuz/jpZvEILDCP1pkO99Pjbc/UI2XbhKDwD9zaJHtfD+1P6JFtvP91Lg/8KfGSzeJwT+8IvjfSna8Pzm0yHa+n7o/YOXQItv5vj+oxks3iUHAPwisHFpkO78/i2zn+6nxsj9CYOXQItu5P3sUrkfhesQ/y6FFtvP9xD8zMzMzMzOzP0oMAiuHFrk/gZVDi2znuz8QWDm0yHa+PwrXo3A9Crc/aJHtfD81vj/wp8ZLN4nBPxsv3SQGgbU/GQRWDi2yvT9KDAIrhxa5P1TjpZvEIMA/okW28/3UuD9oke18PzW+P7Kd76fGS7c/2c73U+Oluz97FK5H4Xq0P1pkO99Pjbc/sp3vp8ZLtz+8IvjfSna8P7wi+N9Kdrw/vCL430p2vD+8IvjfSna8PyGwcmiR7bw/yXa+nxovvT9CYOXQItu5P/LSTWIQWLk/wcqhRbbzvT8IrBxaZDuvP1pkO99Pjbc/AAAAAAAAwD+LbOf7qfGyPzEIrBxaZLs/SgwCK4cWuT+YbhKDwMrBP7Kd76fGS7c/qvHSTWIQuD8K16NwPQq3P7ByaJHtfL8/2/l+arx0sz9oke18PzW+P2Dl0CLb+b4/nMQgsHJowT/D9Shcj8LFP3E9CtejcL0/YOXQItv5vj9zaJHtfD+1PycxCKwcWsQ/w/UoXI/CtT+gGi/dJAbBP4lBYOXQIrs/QmDl0CLbuT+6SQwCK4e2PwIrhxbZzrc/4XoUrkfhuj8IrBxaZDu/P3Noke18P8U/001iEFg5tD/pJjEIrBy6P0oMAiuHFrk/arx0kxgEtj956SYxCKy8P2Dl0CLb+b4/okW28/3UuD9oke18PzW+P0w3iUFg5cA/exSuR+F6xD9iEFg5tMi2P7wi+N9Kdrw/w/UoXI/CtT9U46WbxCDAP2q8dJMYBLY/QmDl0CLbuT+iRbbz/dS4P9v5fmq8dMM/cT0K16NwvT8xCKwcWmS7P1TjpZvEIMA/AiuHFtnOtz9qvHSTGAS2P6rx0k1iELg/VOOlm8QgsD8K16NwPQq3P3E9CtejcL0/+n5qvHSTuD8CK4cW2c63P3Noke18P7U/4XoUrkfhuj/RItv5fmq8P+F6FK5H4bo/4XoUrkfhuj+iRbbz/dTIP8uhRbbz/bQ/vCL430p2vD/6fmq8dJO4P9v5fmq8dMM/I9v5fmq8xD9aZDvfT423PwAAAAAAAMA/cT0K16NwvT9I4XoUrkfBP166SQwCK8c/RIts5/upsT97FK5H4Xq0Pzm0yHa+n7o/KVyPwvUovD/P91PjpZvEP9nO91Pjpas/qvHSTWIQuD9aZDvfT423P/hT46WbxMA/YOXQItv5vj8QWDm0yHa+P0w3iUFg5cA/4XoUrkfhuj+gGi/dJAbBPxkEVg4tsr0/YOXQItv5vj+4HoXrUbi+P6AaL90kBsE/eekmMQisvD+yne+nxku3P5zEILByaLE/WmQ730+Ntz956SYxCKy8P9Ei2/l+arw/TDeJQWDlwD/8qfHSTWLAP+kmMQisHLo/cT0K16NwvT9aZDvfT42nP7Kd76fGS7c/KVyPwvUovD+YbhKDwMrBP/T91HjpJsE/0SLb+X5qvD9oke18PzW+P5HtfD81Xro/ke18PzVeuj8Sg8DKoUW2P8HKoUW2870/sp3vp8ZLtz956SYxCKy8Pxsv3SQGgbU/2c73U+Oluz+yne+nxku3P9NNYhBYOcQ/SgwCK4cWuT8CK4cW2c7XPwrXo3A9Crc/iUFg5dAiuz9oke18PzW+P1pkO99Pjbc/pHA9CtejwD956SYxCKysP1pkO99Pjbc/EoPAyqFFtj8/NV66SQzCP1K4HoXrUbg/6SYxCKwcuj+TGARWDi2yPzEIrBxaZLs/sp3vp8ZLxz/y0k1iEFi5P/LSTWIQWLk/YhBYObTItj8xCKwcWmS7P5HtfD81Xro/RIts5/upwT+R7Xw/NV66P5MYBFYOLbI/okW28/3UuD/LoUW28/20P9NNYhBYObQ/cT0K16NwvT/LoUW28/20P2iR7Xw/Nb4/cT0K16NwvT9xPQrXo3C9P+kmMQisHLo/+FPjpZvEwD97FK5H4Xq0PxBYObTIdr4/CKwcWmQ7vz+kcD0K16PAP+xRuB6F67E/w/UoXI/CtT8xCKwcWmS7P2IQWDm0yLY/mpmZmZmZuT83iUFg5dDCP6RwPQrXo7A/EoPAyqFFtj+kcD0K16PAPzvfT42XbrI/iUFg5dAiuz+wcmiR7Xy/P6rx0k1iELg/f2q8dJMYxD9SuB6F61G4P6AaL90kBsE/ZmZmZmZmxj9qvHSTGAS2P3npJjEIrLw/vCL430p2vD8GgZVDi2zHP2IQWDm0yLY/WmQ730+Ntz8zMzMzMzOzP7ByaJHtfL8/UI2XbhKDwD+wcmiR7Xy/P1pkO99Pjbc/ke18PzVeuj8CK4cW2c63P6AaL90kBsE/okW28/3UuD8bL90kBoG1P3sUrkfherQ/AiuHFtnOtz8AAAAAAADAP7ByaJHtfL8/AiuHFtnOtz+gGi/dJAbBPzEIrBxaZLs/VOOlm8QgwD/Jdr6fGi+9P0oMAiuHFsk/UrgehetRuD/0/dR46SbBPxkEVg4tsr0/2c73U+Olqz+8IvjfSna8P6JFtvP91Lg/qvHSTWIQuD/y0k1iEFi5P+xRuB6F67E/w/UoXI/CtT8xCKwcWmS7PyGwcmiR7bw/YhBYObTItj8hsHJoke28P7ByaJHtfL8/CKwcWmQ7vz/b+X5qvHSzP6rx0k1iELg/UrgehetRuD+iRbbz/dS4P2iR7Xw/Nb4/+n5qvHSTuD+8IvjfSna8PwrXo3A9Crc/qvHSTWIQuD+kcD0K16OwP2Dl0CLb+b4/QmDl0CLbuT956SYxCKy8PyGwcmiR7bw/exSuR+F6tD8hsHJoke28P3E9CtejcL0/YhBYObTItj9g5dAi2/m+P8uhRbbz/bQ/TDeJQWDlwD9aZDvfT423PzMzMzMzM7M/jZduEoPAyj9SuB6F61G4P0Jg5dAi27k/+n5qvHSTuD9SuB6F61G4P/yp8dJNYsA/7FG4HoXrsT/4U+Olm8TAP6JFtvP91Lg/vCL430p2vD9oke18PzW+P5MYBFYOLcI/WmQ730+Ntz9oke18PzW+P7ByaJHtfL8/AiuHFtnOtz9eukkMAivHPylcj8L1KLw/UrgehetRuD/pJjEIrBy6P7Kd76fGS7c/YOXQItv5vj/ZzvdT46W7P9ejcD0K18M/qvHSTWIQuD/Jdr6fGi+9P2q8dJMYBLY/qvHSTWIQuD+oxks3iUHAP7gehetRuL4/mG4Sg8DKwT8rhxbZzvfDP1CNl24Sg8A/qMZLN4lBwD9aZDvfT423P/T91HjpJsE/AiuHFtnOtz956SYxCKy8P3Noke18P7U/AiuHFtnOtz+LbOf7qfGyP8uhRbbz/bQ/y6FFtvP9tD/D9Shcj8K1P2q8dJMYBLY/4XoUrkfhuj956SYxCKy8P/LSTWIQWLk/PQrXo3A9yj8Sg8DKoUW2PyPb+X5qvMQ/AAAAAAAAwD/0/dR46SbBPzMzMzMzM8M/9P3UeOkmwT8IrBxaZDu/P5qZmZmZmbk/46WbxCCwsj/pJjEIrBy6P5qZmZmZmbk/vCL430p2vD9zaJHtfD+1P/yp8dJNYsA/EoPAyqFFtj+TGARWDi2yPzeJQWDl0MI/ke18PzVeuj9CYOXQItu5P5huEoPAysE/pHA9CtejsD8QWDm0yHa+Pylcj8L1KLw//Knx0k1iwD8j2/l+ary0P1g5tMh2vr8/+n5qvHSTuD9aZDvfT423PyuHFtnO97M/7FG4HoXrwT9zaJHtfD+1P4ts5/up8bI/ukkMAiuHtj9KDAIrhxa5P4PAyqFFtrM/6SYxCKwcuj9eukkMAivHPyPb+X5qvLQ/Gy/dJAaBtT+yne+nxku3P4PAyqFFtrM/H4XrUbgexT8zMzMzMzOzP8P1KFyPwrU/EoPAyqFFtj/pJjEIrBy6P0oMAiuHFrk/NV66SQwCyz/ZzvdT46W7Py/dJAaBlcM/EFg5tMh2vj9xPQrXo3C9PzEIrBxaZLs/vCL430p2vD8CK4cW2c63P0jhehSuR8E/9P3UeOkmwT/TTWIQWDm0P3npJjEIrLw/sp3vp8ZLtz9aZDvfT43HP2q8dJMYBLY/QmDl0CLbuT9MN4lBYOXAP1CNl24Sg8A/46WbxCCwwj8Sg8DKoUW2P1pkO99Pjbc/QmDl0CLbuT8730+Nl27CP0Jg5dAi27k/0SLb+X5qvD/0/dR46SaxP1pkO99Pjbc/001iEFg5xD9aZDvfT423P6AaL90kBsE/arx0kxgEtj+4HoXrUbi+P7gehetRuL4/yXa+nxovvT9g5dAi2/m+P8l2vp8aL70/okW28/3UuD+amZmZmZm5Pz0K16NwPco/8tJNYhBYyT/D9Shcj8LFP7gehetRuL4/vCL430p2vD/sUbgeheuxP2iR7Xw/Na4/TDeJQWDlwD+8IvjfSna8P7wi+N9Kdrw/vCL430p2vD+4HoXrUbi+P0SLbOf7qcE/WmQ730+Ntz+oxks3iUHAP/hT46WbxMA/VOOlm8QgsD9g5dAi2/m+PycxCKwcWsQ/yXa+nxovrT+8IvjfSna8P0oMAiuHFrk/+n5qvHSTuD8IrBxaZDu/P/T91HjpJsE/CKwcWmQ7vz+kcD0K16PAP/T91HjpJsE/QmDl0CLbuT8/NV66SQzCPyGwcmiR7bw/VOOlm8QgsD9xPQrXo3C9P4GVQ4ts57s/CKwcWmQ7vz+R7Xw/NV66P5huEoPAysE/okW28/3UuD+YbhKDwMrBP/T91HjpJsE/RIts5/upsT/6fmq8dJO4PxfZzvdT48U/aJHtfD81vj9KDAIrhxa5P7gehetRuL4/001iEFg5xD9YObTIdr6/PwIrhxbZzrc/gZVDi2znuz97FK5H4Xq0P2IQWDm0yLY/pHA9CtejwD+iRbbz/dS4PzEIrBxaZLs/exSuR+F6tD8IrBxaZDu/Pylcj8L1KLw/iUFg5dAiuz8/NV66SQzCP4ts5/up8cI/aJHtfD81vj9iEFg5tMi2P90kBoGVQ8s/RIts5/upwT9SuB6F61G4PzvfT42XbrI/8tJNYhBYuT/RItv5fmq8P6rx0k1iELg/arx0kxgExj/hehSuR+HKP6RwPQrXo8A/yXa+nxovvT+q8dJNYhC4PxkEVg4tsr0/arx0kxgEtj8hsHJoke28P+kmMQisHLo/j8L1KFyPwj/P91PjpZvEP4cW2c73U8M/mpmZmZmZuT+BlUOLbOe7P5huEoPAysE/CtejcD0Ktz8K16NwPQq3P5qZmZmZmbk/+FPjpZvEwD8rhxbZzvezP1K4HoXrUbg/TmIQWDm0yD+28/3UeOnGP3npJjEIrLw/7FG4HoXrwT8xCKwcWmS7P+xRuB6F67E/Gy/dJAaBtT/y0k1iEFi5P8l2vp8aL60/aJHtfD81vj97FK5H4Xq0P3Noke18P7U/iUFg5dAiuz9U46WbxCCwP2IQWDm0yLY/vCL430p2vD9I4XoUrkfBP5qZmZmZmbk/6SYxCKwcuj/LoUW28/3EP+f7qfHSTcI/YhBYObTItj+amZmZmZm5P3e+nxov3cQ/pHA9CtejwD+gGi/dJAbBP39qvHSTGMQ/kxgEVg4twj8Sg8DKoUW2P8uhRbbz/bQ/9P3UeOkmwT8pXI/C9Si8P7wi+N9Kdrw/ZmZmZmZmxj/jpZvEILCyP/T91HjpJsE/WmQ730+Npz+YbhKDwMrBP7gehetRuL4/CtejcD0Kpz/6fmq8dJO4P/T91HjpJsE/arx0kxgEtj9U46WbxCDAP5ZDi2zn+8k/I9v5fmq8xD9I4XoUrkfBP6AaL90kBsE/aJHtfD81vj9I4XoUrkfBP0SLbOf7qbE/YOXQItv5vj97FK5H4XrEP9Ei2/l+arw/BoGVQ4tsxz/ByqFFtvO9P8uhRbbz/bQ/SgwCK4cWuT8ZBFYOLbK9P7pJDAIrh5Y/001iEFg5tD9zaJHtfD+1P1CNl24Sg8A/EFg5tMh2vj9KDAIrhxa5P+kmMQisHLo/ukkMAiuHtj+oxks3iUHAP9Ei2/l+arw/L90kBoGVwz8AAAAAAADAP+Olm8QgsLI/CKwcWmQ7vz9MN4lBYOWwP/p+arx0k7g/6SYxCKwcuj9g5dAi2/m+P9v5fmq8dLM/eekmMQisvD/jpZvEILCyP0w3iUFg5cA/yXa+nxovvT+6SQwCK4e2P6RwPQrXo7A/oBov3SQGwT8IrBxaZDu/PzEIrBxaZLs/IbByaJHtvD+LbOf7qfGyP2iR7Xw/Nb4/CtejcD0Kxz83iUFg5dDCPxBYObTIdr4/UrgehetRuD8730+Nl26yP8l2vp8aL70/+n5qvHSTqD/b+X5qvHSzP1g5tMh2vr8/w/UoXI/CtT/P91PjpZvEPwIrhxbZzrc/4XoUrkfhuj+4HoXrUbiuPyGwcmiR7bw/Gy/dJAaBtT+DwMqhRbazP/T91HjpJrE/gZVDi2znuz9xPQrXo3C9P4PAyqFFtrM/6SYxCKwcuj/pJjEIrBy6P0w3iUFg5cA/c2iR7Xw/xT8/NV66SQzCP5HtfD81Xro/0SLb+X5qvD8/NV66SQzCP7wi+N9Kdrw/UrgehetRuD/D9Shcj8K1P0oMAiuHFrk/5/up8dJNwj/pJjEIrBy6P+xRuB6F67E/46WbxCCwsj+TGARWDi2yP7pJDAIrh7Y/WmQ730+Nxz8QWDm0yHa+P0jhehSuR8E/EFg5tMh2vj+yne+nxku3P0oMAiuHFrk/WmQ730+Ntz/ByqFFtvO9P1CNl24Sg8A/ke18PzVeuj85tMh2vp+6P+Olm8QgsMI/46WbxCCwsj+8IvjfSna8P4ts5/up8bI/ObTIdr6fuj/D9Shcj8K1P9NNYhBYOcQ/K4cW2c73sz+yne+nxku3PwisHFpkO68/mpmZmZmZuT+kcD0K16PAPzEIrBxaZLs/QmDl0CLbuT+DwMqhRbazP3E9CtejcL0/AAAAAAAAwD+YbhKDwMrBPzEIrBxaZLs/AiuHFtnOtz+8IvjfSna8P4ts5/up8bI/001iEFg5tD/ByqFFtvO9P/yp8dJNYsA/VOOlm8QgsD97FK5H4Xq0P/yp8dJNYrA/y6FFtvP9tD/P91PjpZvEP+F6FK5H4bo/sHJoke18vz9CYOXQItu5PyPb+X5qvLQ/46WbxCCwwj85tMh2vp+6P/p+arx0k7g/VOOlm8QgsD/LoUW28/20P3Noke18P7U/6SYxCKwcuj+TGARWDi2yP7wi+N9Kdrw/I9v5fmq8tD+q8dJNYhC4PyPb+X5qvLQ/sp3vp8ZLtz8CK4cW2c63P9Ei2/l+arw/yXa+nxovvT/b+X5qvHSzP+kmMQisHLo/Gy/dJAaBtT85tMh2vp+6PxKDwMqhRbY/iUFg5dAiuz9SuB6F61G4P+F6FK5H4co/L90kBoGVwz9KDAIrhxa5P6JFtvP91Lg/ObTIdr6fuj/Xo3A9CtfDP9ejcD0K18M/mG4Sg8DKwT9qvHSTGAS2P8uhRbbz/bQ/y6FFtvP9xD8730+Nl26yP6JFtvP91Mg/BoGVQ4tsxz8nMQisHFrEP7wi+N9Kdrw/vCL430p2vD/Jdr6fGi+9P8l2vp8aL70/+n5qvHSTuD9iEFg5tMi2P7ByaJHtfL8/g8DKoUW2sz9KDAIrhxa5P4/C9Shcj8I/+n5qvHSTuD8CK4cW2c63Pzm0yHa+n7o/UrgehetRuD9oke18PzW+P4GVQ4ts57s/ObTIdr6fuj+TGARWDi2yP0w3iUFg5cA/2c73U+Oluz8730+Nl26yP8l2vp8aL60/Di2yne+nxj8Sg8DKoUXGPzeJQWDl0MI/MQisHFpkuz8hsHJoke28P0Jg5dAi27k/g8DKoUW2wz8AAAAAAADAPwAAAAAAAMA/iUFg5dAiuz8CK4cW2c63Pw==",
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8tD8pXI/C9Si8P4ts5/up8bI/SgwCK4cWuT9iEFg5tMi2PyGwcmiR7bw/KVyPwvUovD+iRbbz/dS4PyGwcmiR7bw/001iEFg5tD/6fmq8dJO4P0oMAiuHFrk/okW28/3UuD956SYxCKy8PwrXo3A9Crc/okW28/3UuD8CK4cW2c63P0w3iUFg5cA/exSuR+F6tD+6SQwCK4e2PyuHFtnO97M/okW28/3UuD9CYOXQItu5P9nO91Pjpbs/yXa+nxovvT8bL90kBoHFP9Ei2/l+arw/arx0kxgEtj/8qfHSTWLAP0Jg5dAi27k/WmQ730+Ntz9qvHSTGAS2P/LSTWIQWLk/okW28/3UuD+yne+nxku3Pzm0yHa+n7o/VOOlm8QgwD8CK4cW2c63P5MYBFYOLbI/arx0kxgEtj85tMh2vp+6P8l2vp8aL70/Gy/dJAaBtT8bL90kBoG1P1K4HoXrUbg/MzMzMzMzsz+R7Xw/NV66P/p+arx0k7g/AiuHFtnOtz+q8dJNYhC4P9nO91Pjpbs/6SYxCKwcuj/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/6SYxCKwcuj8j2/l+ary0P/LSTWIQWLk/TDeJQWDlwD8ZBFYOLbK9P0SLbOf7qcE/AiuHFtnOtz8pXI/C9Si8P/LSTWIQWLk/qvHSTWIQuD956SYxCKy8P7gehetRuL4/w/UoXI/CtT8j2/l+ary0P0Jg5dAi27k/gZVDi2znuz/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/0/dR46SaxP/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/ObTIdr6fuj9g5dAi2/m+P0w3iUFg5cA/SgwCK4cWuT+amZmZmZm5PxkEVg4tsr0/w/UoXI/CtT/LoUW28/20PzEIrBxaZLs/I9v5fmq8tD+4HoXrUbi+P/LSTWIQWLk/eekmMQisvD8QWDm0yHa+P/LSTWIQWLk/8tJNYhBYuT8Sg8DKoUW2P/LSTWIQWLk/i2zn+6nxsj+DwMqhRbazPxKDwMqhRbY/y6FFtvP9tD/LoUW28/20PwIrhxbZzrc/MzMzMzMzsz9iEFg5tMi2P0Jg5dAi27k/46WbxCCwwj+6SQwCK4fGP/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P0oMAiuHFrk/mpmZmZmZuT+LbOf7qfGyP2IQWDm0yLY/yXa+nxovvT+DwMqhRbazPzMzMzMzM8M/sp3vp8ZLtz/pJjEIrBy6P/LSTWIQWLk/I9v5fmq8xD9YObTIdr6/P5HtfD81Xro/YOXQItv5vj8CK4cW2c63P1K4HoXrUbg/6SYxCKwcuj8Sg8DKoUW2Pzm0yHa+n7o/ObTIdr6fuj8CK4cW2c63PwisHFpkO78/SgwCK4cWuT+q8dJNYhC4P5MYBFYOLbI/ukkMAiuHtj+4HoXrUbi+P4PAyqFFtrM/yXa+nxovvT9zaJHtfD+1PxkEVg4tsr0/IbByaJHtvD/8qfHSTWKwP/p+arx0k7g/WmQ730+Ntz8xCKwcWmS7P2IQWDm0yLY/001iEFg5tD9CYOXQItu5PzEIrBxaZLs/IbByaJHtvD9CYOXQItu5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/Jdr6fGi+9P9nO91Pjpbs/8tJNYhBYuT8CK4cW2c63P5qZmZmZmbk/0SLb+X5qvD+BlUOLbOe7P5HtfD81Xro/WmQ730+Ntz8zMzMzMzOzP/LSTWIQWLk/vp8aL90kxj/TTWIQWDm0P9nO91Pjpbs/8tJNYhBYuT9KDAIrhxa5PwrXo3A9Crc/ObTIdr6fuj9xPQrXo3C9P6JFtvP91Lg/EoPAyqFFtj85tMh2vp+6P8P1KFyPwrU/ukkMAiuHtj9zaJHtfD+1PwrXo3A9Crc/AiuHFtnOtz/n+6nx0k3CP+kmMQisHLo/8tJNYhBYuT/jpZvEILCyP8uhRbbz/bQ/qvHSTWIQuD+iRbbz/dS4Pzm0yHa+n7o/GQRWDi2yvT/y0k1iEFi5P+kmMQisHLo/gZVDi2znuz+yne+nxku3P5qZmZmZmbk/kxgEVg4tsj/ZzvdT46W7PwIrhxbZzrc/ke18PzVeuj/D9Shcj8K1P1CNl24Sg8A/8tJNYhBYuT9iEFg5tMi2P7Kd76fGS7c/8tJNYhBYuT/y0k1iEFi5P5HtfD81Xro/UrgehetRuD9CYOXQItu5P1g5tMh2vp8/GQRWDi2yvT+BlUOLbOe7P4GVQ4ts57s/yXa+nxovvT85tMh2vp+6P/T91HjpJrE/w/UoXI/CtT85tMh2vp+6P5MYBFYOLcI/IbByaJHtvD/y0k1iEFi5P5HtfD81Xro/001iEFg5tD+q8dJNYhC4P5HtfD81Xro/y6FFtvP9tD9SuB6F61G4Pzm0yHa+n7o/mpmZmZmZuT+BlUOLbOe7P5qZmZmZmbk/8tJNYhBYuT8bL90kBoG1Pzm0yHa+n7o/SgwCK4cWuT/8qfHSTWLAP2IQWDm0yLY/arx0kxgEtj/y0k1iEFi5PwIrhxbZzrc/AiuHFtnOtz/LoUW28/20P/LSTWIQWLk/qvHSTWIQuD85tMh2vp+6P+xRuB6F68E/okW28/3UuD8CK4cW2c63Pzm0yHa+n7o/WDm0yHa+vz+HFtnO91PDP1K4HoXrUbg/yXa+nxovvT/pJjEIrBy6PzEIrBxaZLs/sp3vp8ZLtz9KDAIrhxa5P3E9CtejcL0/2c73U+Oluz956SYxCKy8PxBYObTIdr4/QmDl0CLbuT/y0k1iEFi5Pylcj8L1KLw/gZVDi2znuz8zMzMzMzOzP7Kd76fGS7c/nu+nxks3yT9aZDvfT423Pzm0yHa+n7o/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT+DwMqhRbazPyPb+X5qvLQ/y6FFtvP9tD9SuB6F61G4Pzm0yHa+n7o/I9v5fmq8tD85tMh2vp+6P3Noke18P7U/K4cW2c73sz9SuB6F61G4P1K4HoXrUbg/K4cW2c73sz8xCKwcWmS7Pxsv3SQGgbU/okW28/3UuD/LoUW28/20P9NNYhBYObQ/IbByaJHtvD+amZmZmZm5Pzm0yHa+n7o/MzMzMzMzsz9qvHSTGAS2P/LSTWIQWLk/8tJNYhBYuT+PwvUoXI/CP0Jg5dAi27k/QmDl0CLbuT9qvHSTGAS2P/LSTWIQWLk/WmQ730+Ntz8bL90kBoG1P1pkO99Pjbc/MzMzMzMzsz/0/dR46SbBP7Kd76fGS7c/GQRWDi2yvT85tMh2vp+6PwIrhxbZzrc/Gy/dJAaBtT/6fmq8dJO4PwIrhxbZzrc/8tJNYhBYuT/y0k1iEFi5P7Kd76fGS7c/w/UoXI/CtT+iRbbz/dS4P4PAyqFFtrM/46WbxCCwsj9SuB6F61G4P7pJDAIrh7Y/g8DKoUW2sz9aZDvfT423P/LSTWIQWLk/WmQ730+Ntz/y0k1iEFi5P2IQWDm0yLY/ObTIdr6fuj9KDAIrhxa5PwrXo3A9Crc/JzEIrBxaxD+iRbbz/dTIPzm0yHa+n7o/YOXQItv5vj8nMQisHFrEP7Kd76fGS7c/AiuHFtnOtz/y0k1iEFi5P2q8dJMYBLY/mpmZmZmZuT+iRbbz/dS4P7Kd76fGS7c/GQRWDi2yvT8K16NwPQq3P+kmMQisHLo/6SYxCKwcuj/6fmq8dJO4P/LSTWIQWLk/sHJoke18vz/TTWIQWDm0P/yp8dJNYsA/AiuHFtnOtz+oxks3iUHAP0oMAiuHFrk/arx0kxgEtj+R7Xw/NV66P8l2vp8aL70/Gy/dJAaBtT+yne+nxku3P5HtfD81Xro/mpmZmZmZuT9iEFg5tMi2P0oMAiuHFrk/CtejcD0Ktz/D9Shcj8K1P7pJDAIrh7Y/CtejcD0Ktz8rhxbZzvezPzm0yHa+n7o/ObTIdr6fuj/y0k1iEFi5P5HtfD81Xro/w/UoXI/CtT/pJjEIrBy6P6rx0k1iELg/I9v5fmq8tD+iRbbz/dS4P4GVQ4ts57s/i2zn+6nxsj9SuB6F61G4Pzm0yHa+n7o/arx0kxgEtj85tMh2vp+6P/LSTWIQWLk/TDeJQWDlsD956SYxCKy8PwAAAAAAAMA/ObTIdr6fuj9qvHSTGAS2P39qvHSTGMQ/pHA9CtejwD8Sg8DKoUW2P1pkO99Pjbc/8tJNYhBYuT8IrBxaZDu/PwIrhxbZzrc/okW28/3UuD9qvHSTGAS2PyPb+X5qvLQ/yXa+nxovvT8ZBFYOLbK9PxkEVg4tsr0/001iEFg5tD+kcD0K16PAP5HtfD81Xro/exSuR+F6tD9SuB6F61G4P/LSTWIQWLk/8tJNYhBYuT8pXI/C9Si8P9nO91Pjpbs/8tJNYhBYuT9KDAIrhxa5P7gehetRuL4/UrgehetRuD/y0k1iEFi5PzEIrBxaZLs/YhBYObTItj9qvHSTGAS2P/LSTWIQWLk/eekmMQisrD/ZzvdT46W7Pzm0yHa+n7o/yXa+nxovvT85tMh2vp+6P9Ei2/l+arw/EoPAyqFFxj9g5dAi2/m+P4ts5/up8bI/8tJNYhBYuT9xPQrXo3C9Pxsv3SQGgbU/okW28/3UuD85tMh2vp+6P/LSTWIQWLk/y6FFtvP9tD85tMh2vp+6Pxsv3SQGgbU/QmDl0CLbuT8bL90kBoHFP8uhRbbz/bQ/MQisHFpkuz85tMh2vp+6P9Ei2/l+arw/GQRWDi2yvT9MN4lBYOWwPwrXo3A9Crc/ukkMAiuHtj+amZmZmZm5P/LSTWIQWLk/eekmMQisvD+4HoXrUbi+PwaBlUOLbMc/YhBYObTItj8rhxbZzvezP3npJjEIrLw/ObTIdr6fuj+cxCCwcmixP8P1KFyPwrU/AiuHFtnOtz8CK4cW2c63Pxsv3SQGgbU/GQRWDi2yvT+BlUOLbOe7P5qZmZmZmbk/UI2XbhKDwD8zMzMzMzOzPzEIrBxaZLs/O99PjZdusj83iUFg5dDCP/LSTWIQWLk/QmDl0CLbuT+wcmiR7Xy/P28Sg8DKocU/hxbZzvdTwz8bL90kBoG1PxkEVg4tsr0/8tJNYhBYuT85tMh2vp+6Pylcj8L1KLw/ke18PzVeuj+BlUOLbOe7Pzm0yHa+n7o/y6FFtvP9tD8K16NwPQq3P2Dl0CLb+b4/WDm0yHa+vz/RItv5fmq8P1CNl24Sg8A/8tJNYhBYuT85tMh2vp+6P28Sg8DKocU/WmQ730+Ntz+q8dJNYhC4PxkEVg4tsr0/5/up8dJNwj9KDAIrhxa5P6RwPQrXo7A/y6FFtvP9tD+6SQwCK4e2P0Jg5dAi27k/sp3vp8ZLtz9iEFg5tMi2P9nO91Pjpbs/y6FFtvP9tD/y0k1iEFi5P0Jg5dAi27k/okW28/3UuD/y0k1iEFi5P4PAyqFFtrM/8tJNYhBYuT97FK5H4Xq0PzMzMzMzM7M/mpmZmZmZuT8K16NwPQq3PzMzMzMzM7M/+n5qvHSTuD+4HoXrUbi+P8uhRbbz/bQ/yXa+nxovvT85tMh2vp+6PwrXo3A9Crc/8tJNYhBYuT/y0k1iEFi5Pylcj8L1KLw/8tJNYhBYuT8CK4cW2c63P6JFtvP91Lg/WmQ730+Ntz/y0k1iEFi5PxkEVg4tsr0/46WbxCCwsj+DwMqhRbazPxKDwMqhRbY/CtejcD0Ktz/jpZvEILCyPxsv3SQGgbU/mpmZmZmZuT/Jdr6fGi+9PzEIrBxaZLs/qvHSTWIQuD/y0k1iEFi5P7Kd76fGS7c/16NwPQrXwz9CYOXQItu5PwIrhxbZzrc/QmDl0CLbuT9aZDvfT423PxkEVg4tsr0/8tJNYhBYuT+R7Xw/NV66P8P1KFyPwrU/YhBYObTItj9qvHSTGAS2P/p+arx0k7g/O99PjZdusj/y0k1iEFi5PwrXo3A9Crc/mpmZmZmZuT/y0k1iEFi5Px+F61G4HsU/SgwCK4cWuT8Sg8DKoUW2P0SLbOf7qbE/WmQ730+Ntz+amZmZmZm5P0SLbOf7qcE/+n5qvHSTuD9SuB6F61G4P/p+arx0k7g/MQisHFpkuz+q8dJNYhC4Pzm0yHa+n7o/ObTIdr6fuj8hsHJoke28Pzm0yHa+n7o/kxgEVg4tsj+iRbbz/dS4P3sUrkfherQ/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/5/up8dJNwj8fhetRuB7FP/p+arx0k7g/+n5qvHSTuD+DwMqhRbazP/LSTWIQWLk/6SYxCKwcuj9SuB6F61G4P/LSTWIQWLk/8tJNYhBYuT/D9Shcj8K1P3E9CtejcL0/001iEFg5tD+kcD0K16OwP9nO91Pjpbs/WmQ730+Ntz+6SQwCK4e2P/LSTWIQWLk/001iEFg5xD/pJjEIrBy6P7pJDAIrh7Y/UrgehetRuD85tMh2vp+6PzEIrBxaZLs/8tJNYhBYuT9SuB6F61G4P5qZmZmZmbk/arx0kxgEtj8Sg8DKoUW2PzMzMzMzM7M/GQRWDi2yrT9aZDvfT423PyuHFtnO97M/YhBYObTItj+R7Xw/NV66P6rx0k1iELg/8tJNYhBYuT+amZmZmZm5P7Kd76fGS7c/EoPAyqFFtj/b+X5qvHSzP1K4HoXrUbg/YhBYObTItj+q8dJNYhC4P/LSTWIQWLk/SgwCK4cWuT9KDAIrhxa5P6AaL90kBsE/qvHSTWIQuD85tMh2vp+6P5HtfD81Xro/EoPAyqFFtj+iRbbz/dS4P4PAyqFFtrM/8tJNYhBYuT+6SQwCK4e2P5qZmZmZmbk/001iEFg5tD9SuB6F61G4Pzm0yHa+n7o/gZVDi2znuz/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5PzvfT42XbrI/UrgehetRuD956SYxCKy8P/T91HjpJsE/I9v5fmq8tD/6fmq8dJO4PyPb+X5qvLQ/UI2XbhKDwD/8qfHSTWKwPzm0yHa+n7o/ke18PzVeuj+iRbbz/dS4P6JFtvP91Lg/8tJNYhBYuT+DwMqhRbazP0Jg5dAi27k/exSuR+F6tD/6fmq8dJO4P5HtfD81Xro/EFg5tMh2vj+wcmiR7Xy/PyGwcmiR7bw/SgwCK4cWuT/6fmq8dJO4P6rx0k1iELg/8tJNYhBYuT/y0k1iEFi5P5MYBFYOLcI/8tJNYhBYuT9zaJHtfD+1Pylcj8L1KLw/ke18PzVeuj/6fmq8dJO4P3npJjEIrLw/Gy/dJAaBxT/y0k1iEFi5P9Ei2/l+arw/ObTIdr6fuj8QWDm0yHa+Pzm0yHa+n7o/GQRWDi2yvT/RItv5fmq8PwIrhxbZzrc/CtejcD0Ktz8j2/l+ary0P8P1KFyPwrU/EoPAyqFFtj8bL90kBoG1P8uhRbbz/bQ/uB6F61G4vj9KDAIrhxa5PxKDwMqhRbY/YhBYObTItj8CK4cW2c63Pylcj8L1KLw/arx0kxgEtj+BlUOLbOe7PyPb+X5qvMQ/exSuR+F6tD/RItv5fmq8P7pJDAIrh7Y/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/IbByaJHtvD/RItv5fmq8P0oMAiuHFqk/+n5qvHSTuD/jpZvEILCyP6JFtvP91Lg/QmDl0CLbuT+amZmZmZm5P/p+arx0k7g/exSuR+F6tD+DwMqhRbazPxKDwMqhRbY/UrgehetRuD+LbOf7qfGyP3npJjEIrKw/EoPAyqFFtj/Jdr6fGi+9P9Ei2/l+arw/K4cW2c73sz+iRbbz/dS4P9nO91Pjpas/UrgehetRuD9xPQrXo3C9P+Olm8QgsLI/ke18PzVeuj85tMh2vp+6P0oMAiuHFrk/okW28/3UuD+yne+nxku3P1K4HoXrUbg/ukkMAiuHtj9g5dAi2/m+P/LSTWIQWLk/MQisHFpkuz/pJjEIrBy6P2q8dJMYBLY/AiuHFtnOtz85tMh2vp+6P5qZmZmZmbk/okW28/3UuD9qvHSTGAS2PyPb+X5qvMQ/2c73U+Oluz8ZBFYOLbK9P5huEoPAysE/30+Nl24Swz85tMh2vp+6P7Kd76fGS7c/uB6F61G4rj97FK5H4Xq0P7Kd76fGS7c/ObTIdr6fuj/pJjEIrBy6P+kmMQisHLo/UrgehetRuD85tMh2vp+6P9v5fmq8dLM/ObTIdr6fuj/6fmq8dJO4PxkEVg4tsr0/YhBYObTItj/y0k1iEFi5P9nO91Pjpas/L90kBoGVwz97FK5H4Xq0Pzm0yHa+n7o/c2iR7Xw/tT8K16NwPQq3P/p+arx0k7g/SgwCK4cWuT8pXI/C9Si8PyuHFtnO97M/sp3vp8ZLtz9CYOXQItu5P/LSTWIQWLk/8tJNYhBYuT9qvHSTGAS2Pxsv3SQGgbU/exSuR+F6tD97FK5H4Xq0PwrXo3A9Crc/46WbxCCwsj/ZzvdT46W7P+kmMQisHLo/KVyPwvUovD9KDAIrhxa5P3sUrkfherQ/6SYxCKwcuj9xPQrXo3C9P7Kd76fGS7c/arx0kxgEtj+iRbbz/dS4P/p+arx0k7g/ukkMAiuHtj/y0k1iEFi5P1pkO99Pjcc/MQisHFpkuz/Jdr6fGi+9Pylcj8L1KLw/j8L1KFyPwj/4U+Olm8TAP8l2vp8aL70/8tJNYhBYuT/ZzvdT46W7P/LSTWIQWLk/ObTIdr6fuj+DwMqhRbazP2IQWDm0yLY/QmDl0CLbuT8Sg8DKoUW2P4PAyqFFtrM/w/UoXI/CtT8hsHJoke28P/LSTWIQWLk/eekmMQisvD9KDAIrhxa5P3Noke18P7U/UrgehetRuD+yne+nxku3PxkEVg4tsr0/okW28/3UuD+yne+nxku3P4GVQ4ts57s/gZVDi2znuz/y0k1iEFi5P9NNYhBYObQ/exSuR+F6tD9zaJHtfD+1P8P1KFyPwrU/sp3vp8ZLtz97FK5H4Xq0PyPb+X5qvLQ/8tJNYhBYuT+DwMqhRbazP99PjZduEsM/SgwCK4cWuT8xCKwcWmS7Pylcj8L1KLw/cT0K16NwvT+6SQwCK4e2P6JFtvP91Lg/2c73U+Oluz/TTWIQWDm0P8P1KFyPwrU/IbByaJHtvD8pXI/C9Si8P7pJDAIrh7Y/8tJNYhBYuT/y0k1iEFi5PzEIrBxaZLs/eekmMQisvD9aZDvfT423P/LSTWIQWLk/YhBYObTItj/y0k1iEFi5P7pJDAIrh7Y/8tJNYhBYuT9iEFg5tMi2P1K4HoXrUbg/arx0kxgEtj8K16NwPQq3PzMzMzMzM7M/PzVeukkMwj9SuB6F61G4P3E9CtejcL0/EFg5tMh2vj+R7Xw/NV66P0jhehSuR8E/0SLb+X5qvD/y0k1iEFi5P8uhRbbz/bQ/8tJNYhBYuT/y0k1iEFi5Pzm0yHa+n7o/+n5qvHSTuD+yne+nxku3P/hT46WbxMA/KVyPwvUovD8ZBFYOLbK9PwAAAAAAAMA/EoPAyqFFtj85tMh2vp+6P7Kd76fGS7c/2/l+arx0sz9qvHSTGAS2PxKDwMqhRbY/okW28/3UuD+amZmZmZm5P9Ei2/l+arw/ukkMAiuHtj/D9Shcj8K1P1pkO99Pjbc/6SYxCKwcuj8bL90kBoG1P7Kd76fGS7c/2/l+arx0sz9qvHSTGAS2P/p+arx0k7g/qvHSTWIQuD+iRbbz/dS4P7pJDAIrh7Y/okW28/3UuD/RItv5fmq8P8l2vp8aL70/g8DKoUW2sz9iEFg5tMi2Pxsv3SQGgbU/sp3vp8ZLtz8hsHJoke28P0oMAiuHFrk/QmDl0CLbuT/y0k1iEFi5P/LSTWIQWLk/I9v5fmq8tD/y0k1iEFi5PyGwcmiR7bw/okW28/3UuD+q8dJNYhC4PzvfT42XbsI/8tJNYhBYuT8730+Nl26yPzEIrBxaZLs/arx0kxgEtj85tMh2vp+6P7Kd76fGS7c/8tJNYhBYuT8rhxbZzvezP0jhehSuR8E/Gy/dJAaBtT8pXI/C9Si8Pylcj8L1KLw/QmDl0CLbuT9YObTIdr6vP6JFtvP91Lg/VOOlm8QgwD85tMh2vp+6P7ByaJHtfL8/ObTIdr6fuj/D9Shcj8K1P6rx0k1iELg/mpmZmZmZuT8ZBFYOLbKtP4PAyqFFtrM/MQisHFpkuz+iRbbz/dS4P8l2vp8aL70/ObTIdr6fuj/y0k1iEFi5PyPb+X5qvLQ/8tJNYhBYuT9iEFg5tMi2P3npJjEIrLw/GQRWDi2yvT/y0k1iEFi5P+Olm8QgsLI/7FG4HoXrsT97FK5H4Xq0P/LSTWIQWLk/sp3vp8ZLxz8730+Nl26yP4GVQ4ts57s/ke18PzVeuj8bL90kBoG1P9nO91Pjpbs/+n5qvHSTuD9aZDvfT423P6jGSzeJQcA/mpmZmZmZuT8CK4cW2c63P+kmMQisHLo/qvHSTWIQuD+kcD0K16OwPwIrhxbZzrc/CtejcD0Ktz8K16NwPQq3P5qZmZmZmbk/CtejcD0Ktz85tMh2vp+6PyPb+X5qvLQ/TDeJQWDlsD8rhxbZzvezPxkEVg4tsr0/ukkMAiuHtj8CK4cW2c63P5HtfD81Xro/c2iR7Xw/tT8IrBxaZDuvP/LSTWIQWLk/GQRWDi2yvT8j2/l+ary0P0Jg5dAi27k/w/UoXI/CtT9iEFg5tMi2PzMzMzMzM7M/arx0kxgEtj/D9Shcj8K1P0Jg5dAi27k/WmQ730+Ntz8xCKwcWmS7P1pkO99Pjbc/8tJNYhBYuT9KDAIrhxa5P7pJDAIrh7Y/KVyPwvUovD8CK4cW2c63P7Kd76fGS7c/I9v5fmq8tD8K16NwPQq3P1K4HoXrUbg/sp3vp8ZLtz/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5Pxsv3SQGgbU/w/UoXI/CtT/TTWIQWDm0PxkEVg4tsr0/ZmZmZmZmxj+amZmZmZm5P/LSTWIQWLk/MQisHFpkuz9KDAIrhxa5P+kmMQisHLo/i2zn+6nxsj9iEFg5tMi2PwIrhxbZzrc/AiuHFtnOtz8Sg8DKoUW2P6rx0k1iELg/K4cW2c73sz9YObTIdr6/PyGwcmiR7bw/WmQ730+Ntz+yne+nxku3P0SLbOf7qbE/w/UoXI/CtT/y0k1iEFi5P3E9CtejcL0/8KfGSzeJwT8Sg8DKoUW2PyuHFtnO97M/EoPAyqFFtj/TTWIQWDnEP2IQWDm0yLY/exSuR+F6tD+6SQwCK4e2PwIrhxbZzrc/8tJNYhBYuT/ZzvdT46W7PzEIrBxaZLs/mG4Sg8DKwT/y0k1iEFi5P+kmMQisHLo/PzVeukkMwj/b+X5qvHSzP1K4HoXrUbg/+n5qvHSTuD9YObTIdr6/P7pJDAIrh7Y/arx0kxgEtj9aZDvfT423P5huEoPAysE/Gy/dJAaBtT/pJjEIrBy6P6rx0k1iELg/+n5qvHSTuD+R7Xw/NV66P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT8xCKwcWmS7P3Noke18P7U/ObTIdr6fuj9aZDvfT423PwrXo3A9Crc/EoPAyqFFtj+yne+nxku3PxkEVg4tsr0/c2iR7Xw/tT8CK4cW2c63P1pkO99Pjbc/ObTIdr6fuj8rhxbZzvezP3E9CtejcL0/+FPjpZvEwD8xCKwcWmS7P4ts5/up8bI/8tJNYhBYuT+amZmZmZm5P/LSTWIQWLk/2c73U+Oluz/b+X5qvHTDP/LSTWIQWLk/GQRWDi2yvT/y0k1iEFi5PxkEVg4tsr0/K4cW2c73sz8xCKwcWmS7P7Kd76fGS7c/I9v5fmq8tD/6fmq8dJO4P/LSTWIQWLk//Knx0k1isD9SuB6F61G4PwrXo3A9Crc/8tJNYhBYuT/y0k1iEFi5P1K4HoXrUbg/exSuR+F6tD8Sg8DKoUW2P3sUrkfherQ/ke18PzVeuj+4HoXrUbi+P/LSTWIQWLk/MzMzMzMzsz8zMzMzMzOzP7pJDAIrh7Y/+n5qvHSTuD8rhxbZzvezPzMzMzMzM7M/exSuR+F6tD97FK5H4Xq0P0oMAiuHFrk/O99PjZdusj/y0k1iEFi5P0SLbOf7qcE/i2zn+6nxwj/y0k1iEFi5P/LSTWIQWLk/c2iR7Xw/tT9CYOXQItu5PwrXo3A9Crc/KVyPwvUovD8CK4cW2c63P/LSTWIQWLk/Gy/dJAaBxT8CK4cW2c63P0oMAiuHFrk/I9v5fmq8tD+q8dJNYhDIP5qZmZmZmbk/KVyPwvUovD85tMh2vp+6PyGwcmiR7bw/CtejcD0Ktz/y0k1iEFi5P4GVQ4ts57s/c2iR7Xw/tT/y0k1iEFi5P5MYBFYOLbI/sp3vp8ZLtz9qvHSTGAS2PzEIrBxaZLs/ObTIdr6fuj8ZBFYOLbK9P/LSTWIQWLk/CtejcD0Ktz9zaJHtfD+1P1K4HoXrUbg/okW28/3UuD+yne+nxku3P5qZmZmZmbk/8tJNYhBYuT+iRbbz/dS4Pzm0yHa+n7o/SgwCK4cWuT8K16NwPQq3Pzm0yHa+n7o/y6FFtvP9tD+amZmZmZm5PzMzMzMzM7M/gZVDi2znuz+amZmZmZm5P7pJDAIrh7Y/6SYxCKwcuj/b+X5qvHSzP+kmMQisHLo/+n5qvHSTuD/y0k1iEFi5PyPb+X5qvLQ/QmDl0CLbuT/pJjEIrBy6P0oMAiuHFrk/yXa+nxovvT8CK4cW2c63P0oMAiuHFrk/sp3vp8ZLtz85tMh2vp+6P/p+arx0k7g/Gy/dJAaBtT9QjZduEoPAP7ByaJHtfL8/cT0K16NwvT+R7Xw/NV66P/LSTWIQWLk/YhBYObTItj9zaJHtfD+1P9v5fmq8dLM/g8DKoUW2sz/D9Shcj8K1P3npJjEIrLw/qvHSTWIQuD9KDAIrhxa5P1pkO99Pjbc/Gy/dJAaBtT+yne+nxku3PxkEVg4tsq0/WmQ730+Ntz/y0k1iEFi5P5qZmZmZmbk/w/UoXI/CtT9SuB6F61G4P5HtfD81Xro/001iEFg5tD85tMh2vp+6P6rx0k1iELg/eekmMQisvD9zaJHtfD+1P1K4HoXrUbg/ObTIdr6fuj9aZDvfT423PxkEVg4tsr0/YhBYObTItj/b+X5qvHSzP+kmMQisHLo/8tJNYhBYuT9aZDvfT423Pzm0yHa+n7o/qvHSTWIQuD/pJjEIrBy6P0Jg5dAi27k/d76fGi/dxD/y0k1iEFi5P7Kd76fGS7c/MQisHFpkuz/y0k1iEFi5P6rx0k1iELg//Knx0k1iwD/y0k1iEFi5P+kmMQisHLo/qvHSTWIQuD/RItv5fmq8P9Ei2/l+arw/KVyPwvUovD+q8dJNYhC4P5qZmZmZmbk/MQisHFpkuz8xCKwcWmS7Pz81XrpJDMI/+FPjpZvEwD8Sg8DKoUW2Pzm0yHa+n7o/w/UoXI/CtT9I4XoUrkfBP7pJDAIrh7Y/ukkMAiuHtj85tMh2vp+6P0oMAiuHFrk/CtejcD0Ktz/6fmq8dJO4P6RwPQrXo7A/GQRWDi2yvT9aZDvfT423P9NNYhBYObQ/CKwcWmQ7vz956SYxCKy8P1pkO99Pjbc/Gy/dJAaBtT/y0k1iEFi5P1g5tMh2vr8/YhBYObTItj/b+X5qvHSzPwrXo3A9Crc/EoPAyqFFtj/y0k1iEFi5P8P1KFyPwrU/+n5qvHSTuD+LbOf7qfGyP+kmMQisHLo/MQisHFpkuz8ZBFYOLbK9P7Kd76fGS7c/pHA9CtejwD8hsHJoke28P1K4HoXrUbg/EoPAyqFFtj9xPQrXo3C9P/LSTWIQWLk/ObTIdr6fuj+q8dJNYhC4P5HtfD81Xro/EoPAyqFFtj8bL90kBoG1P8P1KFyPwrU/w/UoXI/CtT+LbOf7qfGyP/LSTWIQWLk/g8DKoUW2sz9aZDvfT423P3npJjEIrLw/EFg5tMh2vj9iEFg5tMi2P1K4HoXrUbg/K4cW2c73sz+4HoXrUbiuPzm0yHa+n7o/8tJNYhBYuT9SuB6F61G4P1pkO99Pjbc/2c73U+Oluz/RItv5fmq8P6rx0k1iELg/okW28/3UuD85tMh2vp+6Pzm0yHa+n7o/ObTIdr6fuj+DwMqhRbazP8uhRbbz/bQ/KVyPwvUovD/y0k1iEFi5P3npJjEIrLw/KVyPwvUovD9zaJHtfD+1P1K4HoXrUbg/7FG4HoXrwT+DwMqhRbazP+kmMQisHLo/qvHSTWIQuD8K16NwPQq3PyPb+X5qvLQ/mpmZmZmZuT9CYOXQItu5P+xRuB6F67E/y6FFtvP9tD97FK5H4Xq0P/LSTWIQWLk/7FG4HoXrsT9aZDvfT423P/LSTWIQWLk/Gy/dJAaBtT+iRbbz/dS4P/p+arx0k7g/QmDl0CLbuT8xCKwcWmS7PzEIrBxaZLs/Gy/dJAaBtT/y0k1iEFi5P/LSTWIQWLk/w/UoXI/CtT/ZzvdT46W7P8uhRbbz/bQ/IbByaJHtvD/y0k1iEFi5P3npJjEIrLw/ke18PzVeuj9aZDvfT423PzvfT42XbrI/sp3vp8ZLtz/ZzvdT46W7P7Kd76fGS7c/UrgehetRuD/y0k1iEFi5P/p+arx0k6g/I9v5fmq8tD85tMh2vp+6PwIrhxbZzrc/O99PjZdusj8rhxbZzvezP7gehetRuK4/O99PjZdusj8ZBFYOLbK9P1pkO99Pjbc/AiuHFtnOtz85tMh2vp+6P2q8dJMYBLY/8tJNYhBYuT/y0k1iEFi5PwisHFpkO78/F9nO91PjxT+amZmZmZm5P7pJDAIrh7Y/QmDl0CLbuT+6SQwCK4e2P6rx0k1iELg/8tJNYhBYuT+iRbbz/dS4P3E9CtejcL0/ObTIdr6fuj8pXI/C9Si8Pylcj8L1KLw/AAAAAAAAwD8pXI/C9Si8P/p+arx0k7g/K4cW2c73sz+kcD0K16OwP1K4HoXrUbg/ke18PzVeuj+q8dJNYhC4P6rx0k1iEKg/MQisHFpkuz+6SQwCK4e2P/LSTWIQWLk/8tJNYhBYuT85tMh2vp+6PwIrhxbZzrc/8tJNYhBYuT9QjZduEoPAPyPb+X5qvLQ/arx0kxgEtj+iRbbz/dS4P0oMAiuHFrk/8tJNYhBYuT/y0k1iEFi5P1pkO99Pjbc/EFg5tMh2vj/pJjEIrBy6PwrXo3A9Crc/8tJNYhBYuT/D9Shcj8K1Pzm0yHa+n7o/46WbxCCwsj+R7Xw/NV66Pxsv3SQGgbU/qvHSTWIQuD+R7Xw/NV66P3sUrkfherQ/6SYxCKwcuj8bL90kBoG1P2IQWDm0yLY/mpmZmZmZqT9aZDvfT423P2IQWDm0yLY/8tJNYhBYuT9zaJHtfD+1P4GVQ4ts57s/y6FFtvP9tD956SYxCKy8P+Olm8QgsMI/mpmZmZmZuT/y0k1iEFi5Pzm0yHa+n7o/GQRWDi2yvT/6fmq8dJO4P8P1KFyPwrU/7FG4HoXrwT9xPQrXo3C9P/p+arx0k7g/uB6F61G4vj85tMh2vp+6P4GVQ4ts57s/6SYxCKwcuj+6SQwCK4e2PwrXo3A9Crc/0SLb+X5qvD+wcmiR7Xy/P2q8dJMYBLY/YhBYObTItj9aZDvfT423P3npJjEIrLw/I9v5fmq8tD9mZmZmZmbGP/p+arx0k7g/QmDl0CLbuT9xPQrXo3C9P/LSTWIQWLk/EoPAyqFFtj85tMh2vp+6PzEIrBxaZLs/AiuHFtnOtz+q8dJNYhC4P5MYBFYOLbI/CtejcD0Ktz/LoUW28/20P7pJDAIrh7Y/EFg5tMh2vj9zaJHtfD+1P0oMAiuHFrk/AiuHFtnOtz/TTWIQWDm0P7gehetRuL4/ObTIdr6fuj9CYOXQItu5Pxsv3SQGgbU/8tJNYhBYuT+4HoXrUbi+P2q8dJMYBLY/ukkMAiuHtj/y0k1iEFi5P1pkO99Pjbc/SgwCK4cWuT/Jdr6fGi+9P7gehetRuL4/UrgehetRuD/D9Shcj8K1P7gehetRuL4/8tJNYhBYuT8QWDm0yHa+P4GVQ4ts57s/mpmZmZmZuT8v3SQGgZXDP7pJDAIrh7Y/sp3vp8ZLtz/y0k1iEFi5PzvfT42XbrI/8tJNYhBYuT9g5dAi2/m+P6jGSzeJQcA/arx0kxgEtj+4HoXrUbi+PwrXo3A9Crc/6SYxCKwcuj85tMh2vp+6P1K4HoXrUbg/okW28/3UuD8IrBxaZDu/P2q8dJMYBLY/cT0K16NwvT+q8dJNYhC4Pzm0yHa+n7o/sp3vp8ZLtz8K16NwPQq3P5HtfD81Xro/c2iR7Xw/tT/jpZvEILCyP9nO91Pjpbs/qvHSTWIQuD/n+6nx0k3CPylcj8L1KLw/UrgehetRuD/ZzvdT46W7P6rx0k1iELg/8tJNYhBYuT+amZmZmZm5P7pJDAIrh7Y/CtejcD0Ktz/RItv5fmq8P6JFtvP91Lg/ObTIdr6fuj/Jdr6fGi+9P9v5fmq8dLM/001iEFg5tD85tMh2vp+6PwrXo3A9Crc/8tJNYhBYuT/6fmq8dJO4P/LSTWIQWLk/8tJNYhBYuT8730+Nl27CP7Kd76fGS7c/cT0K16NwvT/HSzeJQWDFP4cW2c73U8M/ukkMAiuHtj8Sg8DKoUW2PyGwcmiR7bw/ukkMAiuHtj/y0k1iEFi5P6rx0k1iELg/mpmZmZmZuT85tMh2vp+6PwIrhxbZzrc/F9nO91PjxT/Jdr6fGi+9PzEIrBxaZLs/eekmMQisvD97FK5H4Xq0Pzm0yHa+n7o/RIts5/upsT9xPQrXo3C9P8uhRbbz/bQ/c2iR7Xw/tT8hsHJoke28P/LSTWIQWLk/GQRWDi2yrT/y0k1iEFi5P/LSTWIQWLk/MQisHFpkuz85tMh2vp+6P5HtfD81Xro/mpmZmZmZuT/ZzvdT46W7P1pkO99Pjbc/f2q8dJMYxD8rhxbZzvezPyPb+X5qvLQ/sp3vp8ZLtz+BlUOLbOe7P6JFtvP91Lg/ObTIdr6fuj9iEFg5tMi2Pzm0yHa+n7o/w/UoXI/CtT/TTWIQWDm0P2IQWDm0yLY/SgwCK4cWuT/0/dR46SbBPzvfT42XbqI/0SLb+X5qvD8j2/l+ary0P4ts5/up8bI/YhBYObTItj+TGARWDi2yP7pJDAIrh7Y/001iEFg5tD8K16NwPQq3P3npJjEIrLw/8tJNYhBYuT8bL90kBoG1Pzm0yHa+n7o/w/UoXI/CtT/pJjEIrBy6P+kmMQisHLo/pHA9CtejwD/6fmq8dJO4P5MYBFYOLcI/46WbxCCwsj9xPQrXo3C9P/LSTWIQWLk/AiuHFtnOtz8bL90kBoG1PzMzMzMzM7M/GQRWDi2yrT9iEFg5tMi2Pzm0yHa+n7o/eekmMQisvD9xPQrXo3C9P/LSTWIQWLk/AiuHFtnOtz8ZBFYOLbK9P+kmMQisHLo/arx0kxgEtj85tMh2vp+6P5qZmZmZmbk/CtejcD0Ktz8rhxbZzvezP0Jg5dAi27k/GQRWDi2yzT97FK5H4Xq0P/T91HjpJrE/8tJNYhBYuT8xCKwcWmS7P+kmMQisHLo/pHA9CtejwD/pJjEIrBy6P/LSTWIQWLk/+n5qvHSTuD/y0k1iEFi5PwrXo3A9Crc/6SYxCKwcuj85tMh2vp+6P1g5tMh2vr8/2c73U+Oluz/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT8Sg8DKoUW2P1K4HoXrUbg/y6FFtvP9tD/y0k1iEFi5P/LSTWIQWLk/EoPAyqFFtj/pJjEIrBy6Pzm0yHa+n7o/AiuHFtnOtz8zMzMzMzOzPzm0yHa+n7o/I9v5fmq8tD9KDAIrhxa5Pzm0yHa+n7o/9P3UeOkmsT+YbhKDwMrBPwisHFpkO68/c2iR7Xw/tT85tMh2vp+6P+kmMQisHLo/2c73U+Oluz+R7Xw/NV66P2IQWDm0yLY/2/l+arx0sz/6fmq8dJO4P0oMAiuHFrk/w/UoXI/CtT+R7Xw/NV66P3Noke18P7U/y6FFtvP9tD/D9Shcj8K1P/yp8dJNYrA/ukkMAiuHtj9CYOXQItu5P8P1KFyPwrU/MQisHFpkuz+iRbbz/dS4P/LSTWIQWLk/kxgEVg4tsj+iRbbz/dS4P8P1KFyPwrU/BoGVQ4tsxz/pJjEIrBy6PwrXo3A9Crc/8tJNYhBYuT+iRbbz/dS4PxkEVg4tsr0/AiuHFtnOtz/D9Shcj8K1P6JFtvP91Lg/EoPAyqFFtj+iRbbz/dS4Pzm0yHa+n7o/qvHSTWIQuD/6fmq8dJO4P7gehetRuL4/gZVDi2znuz/y0k1iEFi5PzvfT42XbrI/g8DKoUW2sz+R7Xw/NV66P/p+arx0k7g/SgwCK4cWuT+iRbbz/dS4P/LSTWIQWLk/QmDl0CLbuT/y0k1iEFi5P4ts5/up8bI/qvHSTWIQuD85tMh2vp+qP9v5fmq8dLM/EoPAyqFFtj/y0k1iEFi5P2q8dJMYBLY/MQisHFpkuz/0/dR46SaxP/LSTWIQWLk/CtejcD0Ktz/y0k1iEFi5P/LSTWIQWLk/arx0kxgEtj9aZDvfT423P5HtfD81Xro/exSuR+F6tD+amZmZmZm5PyGwcmiR7bw/ObTIdr6fuj8ZBFYOLbK9Pzm0yHa+n7o/8tJNYhBYuT+wcmiR7Xy/PxKDwMqhRbY/gZVDi2znuz8K16NwPQq3Pylcj8L1KLw/8tJNYhBYuT/y0k1iEFi5P0Jg5dAi27k/UrgehetRuD9SuB6F61G4P/yp8dJNYsA/gZVDi2znuz8QWDm0yHa+P+kmMQisHLo/EoPAyqFFtj9zaJHtfD+1P8/3U+Olm8Q/mpmZmZmZuT85tMh2vp+6PwrXo3A9Crc/2c73U+Oluz9g5dAi2/m+PwrXo3A9Crc/WmQ730+Ntz/Jdr6fGi+9P0SLbOf7qbE/gZVDi2znuz8K16NwPQq3P8uhRbbz/bQ/CtejcD0Ktz9MN4lBYOXAPzm0yHa+n7o/YhBYObTItj+R7Xw/NV66P/LSTWIQWLk/ObTIdr6fuj+wcmiR7Xy/P6rx0k1iELg/0SLb+X5qvD+yne+nxku3P8l2vp8aL70/kxgEVg4twj8CK4cW2c63Pzm0yHa+n7o/8tJNYhBYuT/y0k1iEFi5P1pkO99Pjbc/8tJNYhBYuT+6SQwCK4e2P7Kd76fGS7c/YhBYObTItj8bL90kBoG1PwrXo3A9Crc/w/UoXI/CtT85tMh2vp+6Pzm0yHa+n7o/6SYxCKwcuj/D9Shcj8K1P0Jg5dAi27k/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT8bL90kBoG1P2IQWDm0yLY/+n5qvHSTuD9qvHSTGAS2P/p+arx0k7g/i2zn+6nxsj/y0k1iEFi5P4ts5/up8cI/uB6F61G4vj9aZDvfT423P6rx0k1iELg/8tJNYhBYuT9qvHSTGAS2P9nO91Pjpas/exSuR+F6tD/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P0Jg5dAi27k/sp3vp8ZLtz/D9Shcj8K1P8P1KFyPwsU/TDeJQWDlsD8ZBFYOLbK9P9v5fmq8dKM/mpmZmZmZuT+iRbbz/dS4P6rx0k1iELg/QmDl0CLbuT/sUbgeheuxPzMzMzMzM8M/ukkMAiuHtj8ZBFYOLbK9P/LSTWIQWLk/8tJNYhBYuT8ZBFYOLbK9P0jhehSuR8E/46WbxCCwsj+DwMqhRbazP5qZmZmZmbk/qvHSTWIQuD8CK4cW2c63P5huEoPAysE/9P3UeOkmwT+BlUOLbOe7P0Jg5dAi27k/UI2XbhKDwD/y0k1iEFi5PxBYObTIdr4/EFg5tMh2vj956SYxCKy8Pxsv3SQGgbU/gZVDi2znuz9SuB6F61G4Pzm0yHa+n7o/8tJNYhBYuT9iEFg5tMi2P9nO91Pjpbs/WDm0yHa+vz/y0k1iEFi5Pzm0yHa+n7o/001iEFg5tD/RItv5fmq8P/hT46WbxMA/+n5qvHSTqD/LoUW28/2kP7pJDAIrh7Y/GQRWDi2yvT8hsHJoke28P1K4HoXrUbg/mpmZmZmZuT+yne+nxku3P5zEILByaLE/nMQgsHJowT/y0k1iEFi5PxkEVg4tsr0/GQRWDi2yvT/pJjEIrBy6P3Noke18P7U/KVyPwvUovD/y0k1iEFi5P5HtfD81Xro/EoPAyqFFtj/y0k1iEFi5Pxsv3SQGgbU/ObTIdr6fuj956SYxCKy8PwAAAAAAAMA/WmQ730+Ntz/D9Shcj8K1P0Jg5dAi27k/O99PjZdusj+q8dJNYhC4P2q8dJMYBLY/8tJNYhBYuT/y0k1iEFi5PwIrhxbZzrc/7FG4HoXrsT8hsHJoke28P7pJDAIrh7Y/qvHSTWIQuD9SuB6F61G4PwIrhxbZzrc/c2iR7Xw/tT+amZmZmZm5P+kmMQisHLo/kxgEVg4tsj/b+X5qvHSzP3sUrkfherQ/eekmMQisvD/0/dR46SbBP/LSTWIQWLk/001iEFg5tD8pXI/C9Si8PyuHFtnO98M/c2iR7Xw/xT/y0k1iEFi5P/LSTWIQWLk/QmDl0CLbuT/y0k1iEFi5P6JFtvP91Lg/AiuHFtnOtz9iEFg5tMi2P/LSTWIQWLk/gZVDi2znuz+q8dJNYhC4P4GVQ4ts57s/CKwcWmQ7vz/Jdr6fGi+9P8l2vp8aL70/y6FFtvP9tD/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5PyuHFtnO97M/yXa+nxovvT/y0k1iEFi5PxkEVg4tsr0/ObTIdr6fuj9g5dAi2/m+P9NNYhBYObQ/WmQ730+Ntz+yne+nxku3P0oMAiuHFrk/MQisHFpkuz8CK4cW2c63Pzm0yHa+n7o/eekmMQisvD/y0k1iEFi5P1pkO99Pjbc/ObTIdr6fuj8pXI/C9Si8P9nO91Pjpbs/0SLb+X5qvD/6fmq8dJO4P+kmMQisHLo/8tJNYhBYuT9zaJHtfD+1P7Kd76fGS7c/8tJNYhBYuT85tMh2vp+6PxkEVg4tsr0/ObTIdr6fqj+R7Xw/NV66Pzm0yHa+n7o/c2iR7Xw/tT/RItv5fmq8P7ByaJHtfL8/w/UoXI/CtT83iUFg5dDCPwAAAAAAAMA/QmDl0CLbuT9g5dAi2/m+P5qZmZmZmbk/KVyPwvUovD/RItv5fmq8P5zEILByaME/YOXQItv5vj/RItv5fmq8PwrXo3A9Crc/8tJNYhBYuT9MN4lBYOWwP/p+arx0k7g/QmDl0CLbuT85tMh2vp+6P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT956SYxCKy8P2q8dJMYBLY/mpmZmZmZmT/y0k1iEFi5Pzm0yHa+n7o/9P3UeOkmwT/y0k1iEFi5P8l2vp8aL60/okW28/3UuD8ZBFYOLbK9P9Ei2/l+arw/6SYxCKwcuj/sUbgeheuxP3npJjEIrLw/lkOLbOf7yT85tMh2vp+6P05iEFg5tMg/8tJNYhBYuT8xCKwcWmS7PwAAAAAAAMA/8tJNYhBYuT/RItv5fmq8P7Kd76fGS7c/8tJNYhBYuT8bL90kBoG1P7gehetRuL4/YOXQItv5vj/y0k1iEFi5PwIrhxbZzrc/8tJNYhBYuT9iEFg5tMi2P0Jg5dAi27k/WmQ730+Ntz8Sg8DKoUW2PwisHFpkO78/8tJNYhBYuT+q8dJNYhC4P1K4HoXrUbg/ObTIdr6fuj+6SQwCK4e2P7pJDAIrh7Y/uB6F61G4vj8QWDm0yHa+P0oMAiuHFrk/qvHSTWIQuD+q8dJNYhC4PwIrhxbZzrc/8tJNYhBYuT9aZDvfT423P0Jg5dAi27k/qvHSTWIQuD/ZzvdT46W7P0Jg5dAi27k/CtejcD0Ktz8j2/l+ary0P8P1KFyPwrU/VOOlm8QgwD8IrBxaZDu/P2Dl0CLb+b4/Gy/dJAaBtT/y0k1iEFi5Pzm0yHa+n7o/AiuHFtnOtz/y0k1iEFi5P7Kd76fGS7c/8tJNYhBYuT9zaJHtfD+1P0oMAiuHFrk/MQisHFpkuz+yne+nxku3Pzm0yHa+n7o/8tJNYhBYuT/D9Shcj8K1P+xRuB6F67E/IbByaJHtvD/ZzvdT46W7PwIrhxbZzrc/QmDl0CLbuT/Jdr6fGi+9P7ByaJHtfL8/IbByaJHtvD8pXI/C9Si8Pzm0yHa+n7o/AiuHFtnOtz8Sg8DKoUW2P1pkO99Pjbc/ObTIdr6fuj/y0k1iEFi5P7Kd76fGS7c/y6FFtvP9tD/6fmq8dJO4PwrXo3A9Crc/CtejcD0Kxz+amZmZmZm5PxkEVg4tsr0/8tJNYhBYuT8hsHJoke28PxkEVg4tsr0/EoPAyqFFtj+6SQwCK4e2P6AaL90kBsE/8tJNYhBYuT9qvHSTGAS2P6JFtvP91Lg/0SLb+X5qvD/y0k1iEFi5PzMzMzMzM7M/YhBYObTItj/LoUW28/20P8l2vp8aL70/ukkMAiuHtj/y0k1iEFi5P1K4HoXrUbg/exSuR+F6tD/D9Shcj8K1P1K4HoXrUbg/ke18PzVeuj85tMh2vp+6P/p+arx0k7g/8tJNYhBYuT/y0k1iEFi5PwrXo3A9Crc/y6FFtvP9tD9I4XoUrkfBPyGwcmiR7bw/CtejcD0Ktz83iUFg5dDCP7Kd76fGS7c/sp3vp8ZLtz8K16NwPQq3P5HtfD81Xro/ObTIdr6fuj9iEFg5tMi2P/LSTWIQWLk/MQisHFpkuz/LoUW28/20P1K4HoXrUbg/I9v5fmq8tD9aZDvfT423P/LSTWIQWLk/arx0kxgEtj956SYxCKy8PzEIrBxaZLs/ukkMAiuHtj/ZzvdT46W7P/LSTWIQWLk/8tJNYhBYuT9MN4lBYOWwP/LSTWIQWLk/ke18PzVeuj+amZmZmZm5P1K4HoXrUbg/PzVeukkMwj8ZBFYOLbK9Pzm0yHa+n7o/2c73U+Oluz9I4XoUrkfBP9NNYhBYObQ/QmDl0CLbuT9iEFg5tMi2P76fGi/dJMY/ObTIdr6fuj/pJjEIrBy6P8l2vp8aL70/cT0K16NwvT9zaJHtfD/FP4GVQ4ts57s/UrgehetRuD9qvHSTGAS2P3npJjEIrKw/8tJNYhBYuT+DwMqhRbazP2q8dJMYBLY/mpmZmZmZuT9iEFg5tMi2P9Ei2/l+arw/qvHSTWIQuD/D9Shcj8K1P/LSTWIQWLk/O99PjZdusj/jpZvEILCyP4PAyqFFtrM/WmQ730+Ntz8ZBFYOLbK9P4PAyqFFtrM/WmQ730+Ntz956SYxCKy8P6JFtvP91Lg/O99PjZdusj/6fmq8dJO4P9nO91Pjpas/001iEFg5tD9CYOXQItu5P4/C9Shcj8I/7FG4HoXrsT9iEFg5tMi2P+kmMQisHLo/46WbxCCwwj/pJjEIrBy6P5qZmZmZmbk/7FG4HoXrwT9aZDvfT423PzEIrBxaZLs/w/UoXI/CtT8hsHJoke28PxKDwMqhRbY/8tJNYhBYuT+6SQwCK4e2P+F6FK5H4co/Gy/dJAaBtT85tMh2vp+6P/LSTWIQWLk/8tJNYhBYuT9KDAIrhxa5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P/LSTWIQWLk/CKwcWmQ7vz9aZDvfT423P1pkO99Pjbc/eekmMQisvD/Jdr6fGi+9Pzm0yHa+n7o/mG4Sg8DKwT/y0k1iEFi5P6JFtvP91Lg/K4cW2c73sz8CK4cW2c63P6JFtvP91Lg/UrgehetRuD+q8dJNYhC4P4GVQ4ts57s/8tJNYhBYuT/y0k1iEFi5P2IQWDm0yLY/MQisHFpkuz/b+X5qvHSzP0Jg5dAi27k/AiuHFtnOtz/y0k1iEFi5P/LSTWIQWLk/okW28/3UuD9qvHSTGAS2P5qZmZmZmbk/gZVDi2znuz/0/dR46SbBP5qZmZmZmbk/KVyPwvUovD8QWDm0yHa+P5HtfD81Xro/sp3vp8ZLtz/y0k1iEFi5P9nO91Pjpbs/qvHSTWIQuD+amZmZmZm5P1K4HoXrUbg/ObTIdr6fqj8pXI/C9Si8PyuHFtnO97M/WmQ730+Ntz8Sg8DKoUW2P/p+arx0k7g/ObTIdr6fuj/Xo3A9CtfDPwIrhxbZzrc/8tJNYhBYuT9qvHSTGAS2P1TjpZvEILA/yXa+nxovvT+LbOf7qfGyP5qZmZmZmbk/ukkMAiuHtj9CYOXQItu5P0oMAiuHFrk/ObTIdr6fuj+6SQwCK4e2P5qZmZmZmbk/nMQgsHJosT/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT/y0k1iEFi5P4GVQ4ts57s/AiuHFtnOtz+iRbbz/dS4P0Jg5dAi27k/+FPjpZvEwD+DwMqhRbazP2IQWDm0yLY/g8DKoUW2sz8K16NwPQq3Pylcj8L1KLw/2c73U+Oluz/pJjEIrBy6PwIrhxbZzrc/MQisHFpkuz85tMh2vp+6P4GVQ4ts57s/ukkMAiuHtj8QWDm0yHa+P0SLbOf7qcE/WmQ730+Ntz8pXI/C9Si8P6rx0k1iELg/6SYxCKwcuj/LoUW28/20P4cW2c73U8M/EoPAyqFFtj/ZzvdT46W7PyPb+X5qvLQ/w/UoXI/CtT85tMh2vp+6P2q8dJMYBLY/c2iR7Xw/tT+q8dJNYhC4P3sUrkfherQ/001iEFg5tD956SYxCKy8PzEIrBxaZLs/SgwCK4cWuT+kcD0K16PAPyuHFtnO97M/mpmZmZmZuT+4HoXrUbi+PxKDwMqhRbY/EoPAyqFFtj8K16NwPQq3P/LSTWIQWLk/EoPAyqFFtj/6fmq8dJO4P8P1KFyPwrU/arx0kxgEtj9KDAIrhxa5P+xRuB6F68E/+FPjpZvEwD+yne+nxku3P/p+arx0k7g/+n5qvHSTuD8zMzMzMzOzPzm0yHa+n7o/mpmZmZmZuT85tMh2vp+6P8l2vp8aL70/CtejcD0Ktz8j2/l+ary0P3Noke18P7U/ObTIdr6fuj85tMh2vp+6P/LSTWIQWLk/GQRWDi2yvT93vp8aL93EP0SLbOf7qbE/8tJNYhBYuT9KDAIrhxa5PzMzMzMzM8M/cT0K16NwvT97FK5H4Xq0PyGwcmiR7bw/+n5qvHSTuD/y0k1iEFi5P/p+arx0k7g/y6FFtvP9tD956SYxCKy8Pzm0yHa+n7o/2c73U+Oluz+iRbbz/dS4P2q8dJMYBLY/cT0K16NwvT8j2/l+ary0P99PjZduEsM/AAAAAAAAwD/y0k1iEFi5P6jGSzeJQcA//Knx0k1iwD/ZzvdT46W7P1TjpZvEIMA/GQRWDi2yvT+4HoXrUbi+Py/dJAaBlcM/IbByaJHtvD/RItv5fmq8P+kmMQisHLo/QmDl0CLbuT8AAAAAAADAP+kmMQisHLo/cT0K16NwvT+q8dJNYhC4P6JFtvP91Lg/KVyPwvUovD8Sg8DKoUW2P/LSTWIQWLk/8tJNYhBYuT956SYxCKy8P7gehetRuL4/2/l+arx0wz/RItv5fmq8PwIrhxbZzrc/KVyPwvUovD+amZmZmZm5P1g5tMh2vr8/UrgehetRuD/y0k1iEFi5P3Noke18P7U/w/UoXI/CtT9aZDvfT423PycxCKwcWsQ/2c73U+Oluz+oxks3iUHAP3sUrkfherQ/+FPjpZvEwD8Sg8DKoUW2PyPb+X5qvLQ/ke18PzVeuj+cxCCwcmixP/LSTWIQWLk/+n5qvHSTuD+6SQwCK4e2P9Ei2/l+arw/IbByaJHtvD8j2/l+ary0Pzm0yHa+n7o/ZmZmZmZmxj85tMh2vp+6P0oMAiuHFrk/sp3vp8ZLtz+iRbbz/dS4P/LSTWIQWLk/GQRWDi2yvT+BlUOLbOe7P9nO91Pjpbs/okW28/3UuD+6SQwCK4e2P4PAyqFFtrM/2c73U+Oluz+LbOf7qfGyP7Kd76fGS7c/8tJNYhBYuT8zMzMzMzOzPwrXo3A9Crc/CKwcWmQ7vz8xCKwcWmS7P1pkO99Pjbc/arx0kxgEtj8Sg8DKoUW2P9v5fmq8dLM/mpmZmZmZuT/y0k1iEFi5P8l2vp8aL70/8tJNYhBYuT97FK5H4Xq0P7pJDAIrh7Y/RIts5/upsT/y0k1iEFi5P2q8dJMYBLY/Gy/dJAaBtT85tMh2vp+6P7Kd76fGS7c/7nw/NV66yT+BlUOLbOe7P7ByaJHtfL8/N4lBYOXQwj+kcD0K16OwP/LSTWIQWLk/8tJNYhBYuT+R7Xw/NV66Pylcj8L1KLw/6SYxCKwcuj+R7Xw/NV66P0oMAiuHFrk/6SYxCKwcuj/6fmq8dJO4P8P1KFyPwrU/UrgehetRuD8Sg8DKoUW2P/LSTWIQWLk/2/l+arx0sz9Ei2zn+6mxP1pkO99Pjbc/arx0kxgEtj8hsHJoke28P9v5fmq8dMM/QmDl0CLbuT/Jdr6fGi+9PwIrhxbZzrc/6SYxCKwcuj+yne+nxku3Px+F61G4HsU/AiuHFtnOtz/Jdr6fGi+9P7gehetRuL4/AiuHFtnOtz/y0k1iEFi5P5MYBFYOLbI/arx0kxgEtj+6SQwCK4e2P3Noke18P7U/ObTIdr6fuj9qvHSTGAS2Pxsv3SQGgbU/w/UoXI/CtT+iRbbz/dS4PxkEVg4tsr0/cT0K16NwvT/D9Shcj8K1PxkEVg4tsr0/sp3vp8ZLtz+amZmZmZm5PxkEVg4tsr0/ukkMAiuHtj/y0k1iEFi5Pxsv3SQGgbU/ukkMAiuHtj9U46WbxCCwP+kmMQisHLo/I9v5fmq8tD9KDAIrhxa5P4GVQ4ts57s/7FG4HoXrsT+BlUOLbOe7Pzm0yHa+n7o/UrgehetRuD/pJjEIrBy6PwrXo3A9Crc/6SYxCKwcuj/y0k1iEFi5P8uhRbbz/bQ/ObTIdr6fuj9zaJHtfD+1P9Ei2/l+arw/qvHSTWIQuD+cxCCwcmixPzm0yHa+n7o/mpmZmZmZuT8CK4cW2c63P7Kd76fGS7c/8tJNYhBYuT8ZBFYOLbK9P4GVQ4ts57s/UrgehetRuD/b+X5qvHTDP/p+arx0k7g/GQRWDi2yvT+wcmiR7Xy/PxKDwMqhRbY/ObTIdr6fuj9SuB6F61G4P9NNYhBYObQ/I9v5fmq8tD/6fmq8dJO4P0oMAiuHFrk/QmDl0CLbuT9CYOXQItu5Pzm0yHa+n7o/8tJNYhBYuT85tMh2vp+6Pzm0yHa+n7o/y6FFtvP9tD/RItv5fmq8P0Jg5dAi27k/mpmZmZmZuT8bL90kBoG1P5qZmZmZmbk/AiuHFtnOtz9CYOXQItu5P/LSTWIQWLk/UrgehetRuD9SuB6F61G4PyuHFtnO97M/sp3vp8ZLtz/y0k1iEFi5P9v5fmq8dLM/8tJNYhBYuT+iRbbz/dS4P7pJDAIrh7Y/EoPAyqFFtj+amZmZmZm5PyuHFtnO97M/okW28/3UuD/Jdr6fGi+9P5HtfD81Xro/UI2XbhKDwD8xCKwcWmS7P8l2vp8aL70/exSuR+F6tD/y0k1iEFi5P8P1KFyPwrU/8tJNYhBYuT9Ei2zn+6nBP8P1KFyPwrU/8tJNYhBYuT+amZmZmZm5PzMzMzMzM7M/ukkMAiuHtj8hsHJoke28Pzm0yHa+n7o/w/UoXI/CtT9iEFg5tMi2P2IQWDm0yLY/WDm0yHa+vz8ZBFYOLbK9P3npJjEIrLw/KVyPwvUovD+amZmZmZm5P2q8dJMYBLY/uB6F61G4vj+amZmZmZm5PzMzMzMzM7M/arx0kxgEtj/LoUW28/20P9NNYhBYObQ/ukkMAiuHtj8fhetRuB7FP1pkO99Pjbc/+n5qvHSTuD9qvHSTGAS2P8uhRbbz/bQ/ke18PzVeuj9CYOXQItu5P1pkO99Pjbc/GQRWDi2yvT85tMh2vp+6P1pkO99Pjbc/qvHSTWIQyD+BlUOLbOe7P8P1KFyPwsU/ObTIdr6fuj9SuB6F61G4PzEIrBxaZLs/8tJNYhBYuT8zMzMzMzOzP1pkO99Pjbc/WDm0yHa+vz9qvHSTGAS2PzEIrBxaZLs/ke18PzVeuj/Jdr6fGi+9P4PAyqFFtrM/WmQ730+Ntz8pXI/C9Si8P8l2vp8aL70/i2zn+6nxwj9SuB6F61G4P5HtfD81Xro/CtejcD0Ktz8bL90kBoG1P2q8dJMYBLY/KVyPwvUovD9KDAIrhxa5P3Noke18P7U/GQRWDi2yvT/b+X5qvHSzPxkEVg4tsr0/ObTIdr6fuj9CYOXQItu5PyGwcmiR7bw/QmDl0CLbuT+cxCCwcmjBP9Ei2/l+arw/ke18PzVeuj9xPQrXo3C9P8P1KFyPwsU/tvP91Hjpxj/6fmq8dJO4P9Ei2/l+arw/8tJNYhBYuT8rhxbZzvezP9NNYhBYObQ/UrgehetRuD/y0k1iEFi5P/LSTWIQWLk/8tJNYhBYuT+oxks3iUHAPxkEVg4tsr0/+n5qvHSTuD/Jdr6fGi+9P5HtfD81Xro/GQRWDi2yvT8AAAAAAADAPx+F61G4HsU/ObTIdr6fuj/y0k1iEFi5P6rx0k1iELg/sp3vp8ZLtz8ZBFYOLbK9P1TjpZvEIMA/IbByaJHtvD9KDAIrhxa5PxBYObTIdr4/YhBYObTItj+R7Xw/NV66P7ByaJHtfL8/okW28/3UuD9aZDvfT423PzEIrBxaZLs/ObTIdr6fuj8xCKwcWmS7Py/dJAaBlcM/ObTIdr6fuj+R7Xw/NV66P9NNYhBYObQ/2/l+arx0sz+R7Xw/NV66P0oMAiuHFrk/QmDl0CLbuT+amZmZmZm5P/hT46WbxMA/ke18PzVeuj85tMh2vp+6P6JFtvP91Lg/GQRWDi2yvT9qvHSTGAS2P1pkO99Pjbc/8tJNYhBYuT+BlUOLbOe7P1K4HoXrUbg/O99PjZdusj+amZmZmZm5P2Dl0CLb+b4/GQRWDi2yvT8OLbKd76fGPxBYObTIdr4/8tJNYhBYuT9zaJHtfD+1P4GVQ4ts57s//Knx0k1isD8pXI/C9Si8P1pkO99Pjbc/6SYxCKwcuj/pJjEIrBy6P2IQWDm0yLY/CtejcD0Kxz/RItv5fmq8Pzm0yHa+n7o/KVyPwvUovD+q8dJNYhC4Pzm0yHa+n7o/arx0kxgEtj+yne+nxku3PxkEVg4tsr0/2c73U+Oluz8K16NwPQq3P4ts5/up8bI/UrgehetRuD/RItv5fmq8Py/dJAaBlcM/GQRWDi2yvT+6SQwCK4e2P+kmMQisHLo/MQisHFpkuz+6SQwCK4e2P9Ei2/l+arw/oBov3SQGwT8AAAAAAADAP0Jg5dAi27k/H4XrUbgexT+DwMqhRbazP4ts5/up8bI/sp3vp8ZLtz/6fmq8dJO4P1pkO99Pjbc/VOOlm8QgwD9KDAIrhxa5P4ts5/up8bI/okW28/3UuD956SYxCKysP7Kd76fGS7c/8tJNYhBYuT+BlUOLbOe7PxkEVg4tsr0/eekmMQisvD/y0k1iEFi5P1pkO99Pjbc/w/UoXI/CtT8CK4cW2c63P9Ei2/l+arw/AiuHFtnOtz/ZzvdT46W7P9v5fmq8dMM/sHJoke18vz/jpZvEILCyP9NNYhBYObQ/H4XrUbgexT9iEFg5tMi2P/LSTWIQWLk/arx0kxgEtj+BlUOLbOe7P6JFtvP91Lg/8tJNYhBYuT9qvHSTGAS2P/p+arx0k7g/8tJNYhBYuT85tMh2vp+6Pzm0yHa+n7o/I9v5fmq8tD8K16NwPQq3PwrXo3A9Crc/8tJNYhBYuT+BlUOLbOe7PxkEVg4tsr0/QmDl0CLbuT85tMh2vp+6P/T91HjpJrE/okW28/3UuD+4HoXrUbi+PzEIrBxaZLs/6SYxCKwcuj85tMh2vp+6P1pkO99Pjac/c2iR7Xw/tT+yne+nxku3P3npJjEIrLw/KVyPwvUovD8K16NwPQq3P+kmMQisHLo/gZVDi2znuz97FK5H4Xq0PxkEVg4tsr0/c2iR7Xw/tT85tMh2vp+6P/LSTWIQWLk/ObTIdr6fuj9CYOXQItu5PwrXo3A9Crc/6SYxCKwcuj+LbOf7qfGyP8P1KFyPwrU/y6FFtvP9tD9SuB6F61G4PwIrhxbZzrc/VOOlm8QgwD8730+Nl26yP0Jg5dAi27k/6SYxCKwcuj8rhxbZzvezP9v5fmq8dLM/EFg5tMh2vj+R7Xw/NV66P/LSTWIQWLk/CtejcD0Ktz85tMh2vp+6P3npJjEIrLw/y6FFtvP9tD9SuB6F61G4P/LSTWIQWLk/2c73U+Oluz8zMzMzMzOzP2IQWDm0yLY/YhBYObTItj8j2/l+ary0P5HtfD81Xro/YhBYObTItj8Sg8DKoUXGPyuHFtnO97M/CKwcWmQ7rz9iEFg5tMi2PyGwcmiR7bw/9P3UeOkmsT9qvHSTGAS2P5MYBFYOLbI/okW28/3UuD/y0k1iEFi5P4ts5/up8bI/YhBYObTItj/pJjEIrBy6PxKDwMqhRbY/+n5qvHSTuD+BlUOLbOe7P6RwPQrXo7A/exSuR+F6tD956SYxCKy8P/LSTWIQWLk/+n5qvHSTuD9aZDvfT423P6rx0k1iELg/2/l+arx0sz/6fmq8dJO4PwrXo3A9Crc/001iEFg5tD/LoUW28/20PxKDwMqhRbY/ke18PzVeuj956SYxCKy8P4cW2c73U8M/CtejcD0Ktz9xPQrXo3C9Pzm0yHa+n7o/w/UoXI/CtT9g5dAi2/m+P0jhehSuR8E/QmDl0CLbuT8rhxbZzvezPzm0yHa+n7o/okW28/3UuD/y0k1iEFi5P8l2vp8aL70/I9v5fmq8tD/TTWIQWDm0P/hT46WbxMA/g8DKoUW2sz9KDAIrhxa5P2q8dJMYBLY/AiuHFtnOtz/RItv5fmq8P3E9CtejcL0/UrgehetRuD9qvHSTGAS2P+kmMQisHLo/5/up8dJNwj+TGARWDi2yP4ts5/up8bI/I9v5fmq8tD/y0k1iEFi5P2q8dJMYBLY/I9v5fmq8tD/D9Shcj8K1P6rx0k1iELg/ukkMAiuHtj/LoUW28/20P/LSTWIQWLk/8tJNYhBYuT+gGi/dJAbBPzm0yHa+n7o/+n5qvHSTuD8xCKwcWmS7PwrXo3A9Crc/AiuHFtnOtz956SYxCKy8PxKDwMqhRbY/arx0kxgEtj8xCKwcWmS7P8P1KFyPwrU/mpmZmZmZuT8pXI/C9Si8P/LSTWIQWLk/arx0kxgEtj/y0k1iEFi5P2q8dJMYBLY/sp3vp8ZLtz8ZBFYOLbK9P3E9CtejcL0/ObTIdr6fuj+amZmZmZm5P8uhRbbz/bQ/UrgehetRuD+R7Xw/NV66PwIrhxbZzrc/EoPAyqFFtj8CK4cW2c63P9Ei2/l+arw/sp3vp8ZLtz9CYOXQItu5P4PAyqFFtrM/w/UoXI/CtT85tMh2vp+6P6rx0k1iELg/8tJNYhBYuT85tMh2vp+6P1pkO99Pjbc/KVyPwvUovD9SuB6F61G4P6JFtvP91Lg/c2iR7Xw/tT9CYOXQItu5P/LSTWIQWLk/8tJNYhBYuT/RItv5fmq8P5qZmZmZmbk/8tJNYhBYuT9zaJHtfD+1P7Kd76fGS7c/9P3UeOkmsT/y0k1iEFi5P7ByaJHtfL8/y6FFtvP9tD9qvHSTGAS2P6rx0k1iELg/0SLb+X5qvD8pXI/C9Si8P8l2vp8aL70/sp3vp8ZLtz97FK5H4Xq0PwrXo3A9Crc/cT0K16NwvT+amZmZmZmpP1g5tMh2vq8/46WbxCCwwj+wcmiR7Xy/P5HtfD81Xro/MQisHFpkuz9qvHSTGAS2P7pJDAIrh7Y/MzMzMzMzsz8xCKwcWmS7P8l2vp8aL70/ukkMAiuHtj+yne+nxku3Pw==",
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          "scene": {
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            "gridwidth": 2,
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           "yaxis": {
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            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
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            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
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          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
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           "title": {
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           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter_3d(x=X[18], y=X[19], z=X[20], color=T[0].astype(int).astype(str),\n",
    "                    labels={'x': 'Merkmal 18', 'y': 'Merkmal 19', 'z': 'Merkmal 20', 'color': 'Gruppe'})\n",
    "fig.update_traces(marker={'size': 3})\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed9f06a1",
   "metadata": {},
   "source": [
    "iv) Merkmal 16, 18, 20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e90baab5",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "data": [
        {
         "hovertemplate": "Gruppe=3<br>Merkmal 16=%{x}<br>Merkmal 18=%{y}<br>Merkmal 20=%{z}<extra></extra>",
         "legendgroup": "3",
         "marker": {
          "color": "#636efa",
          "size": 3,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "3",
         "scene": "scene",
         "showlegend": true,
         "type": "scatter3d",
         "x": {
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",
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         "marker": {
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   "source": [
    "fig = px.scatter_3d(x=X[16], y=X[18], z=X[20], color=T[0].astype(int).astype(str),\n",
    "                    labels={'x': 'Merkmal 16', 'y': 'Merkmal 18', 'z': 'Merkmal 20', 'color': 'Gruppe'})\n",
    "fig.update_traces(marker={'size': 3})\n",
    "fig.show()"
   ]
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  {
   "cell_type": "markdown",
   "id": "7b3af1bc",
   "metadata": {},
   "source": [
    "f) Am besten geeignet ist vermutlich Kombination iv) (16, 18, 20), danach i) (0, 16, 17).\n",
    "Entscheidend ist Merkmal 16: Gruppe 1 hat hier deutlich höhere Werte als Gruppe 2 und diese\n",
    "wiederum höhere als Gruppe 3. Zusätzlich trennen 18 und 20 Gruppe 1 gut von den anderen.\n",
    "\n",
    "Am schlechtesten geeignet ist ii) (0, 17, 18), da Merkmal 16 fehlt und sich Gruppe 2 und 3\n",
    "dort stark überlappen. iii) (18, 19, 20) trennt Gruppe 1 noch ganz gut ab, Gruppe 2 und 3\n",
    "überlappen aber ebenfalls stark."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40ac7c0e",
   "metadata": {},
   "source": [
    "g) Ja:\n",
    "- Merkmal 0 (Alter) ist in i) und ii) vermutlich überflüssig, die Werte unterscheiden sich\n",
    "  zwischen den Gruppen kaum.\n",
    "- Merkmal 19 in iii) unterscheidet sich zwischen den Gruppen ebenfalls kaum.\n",
    "- In iv) sind Merkmal 18 und 20 stark korreliert, eines davon bringt vermutlich\n",
    "  kaum zusätzliche Information."
   ]
  }
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