grapher.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import viz\n",
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_id(model, dataset):\n",
    "    df = pd.read_csv('./experiments/results.txt', names=range(8))\n",
    "    df[1] = df[1].str.strip()\n",
    "    df[3] = df[3].astype(str).astype(float)\n",
    "    id_model = df[(df[0]==model)&(df[1]==dataset)&(df[7]==1)][df[3]==df[3].max()][2]\n",
    "    print(id_model)\n",
    "    return model, dataset, id_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "DATASET = 'iris'\n",
    "MODEL = 'ann'\n",
    "OOD = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iris\n",
      "Normalizing ood samples\n",
      "iris\n",
      "Normalizing ood samples\n",
      "iris\n",
      "Normalizing ood samples\n"
     ]
    }
   ],
   "source": [
    "ann_url = viz.get_model_url('ann', DATASET, '1617986187')\n",
    "ann_args = viz.load_args(ann_url)\n",
    "x_train, x_val, x_test, y_train, y_val, y_test, ood_x, ood_y = viz.load_data(ann_args)\n",
    "ann_model = viz.load_model(ann_url, x_train.shape[1], y_train.shape[1], ann_args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Samples: 20\n",
      "Samples: 20\n",
      "Samples: 20\n"
     ]
    }
   ],
   "source": [
    "jehm_url = viz.get_model_url('jehm', DATASET, '1616778442')\n",
    "jehm_args = viz.load_args(jehm_url)\n",
    "jehm_model = viz.load_model(jehm_url, x_train.shape[1], y_train.shape[1], jehm_args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "jem_url = viz.get_model_url('jem', DATASET, '1616778501')\n",
    "jem_args = viz.load_args(jem_url)\n",
    "jem_model = viz.load_model(jem_url, x_train.shape[1], y_train.shape[1], jem_args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Samples: 50\n",
      "Samples: 50\n",
      "Samples: 50\n"
     ]
    }
   ],
   "source": [
    "# Best one thus far 1618054012\n",
    "# gen ood closest to true ood 1618055607\n",
    "# gen closes to true ood with not as many o_n steps 1618062683\n",
    "# Tested with Yining 1617986270\n",
    "\n",
    "jehmo_url = viz.get_model_url('jehmo', DATASET, '1617986270')\n",
    "jehmo_args = viz.load_args(jehmo_url)\n",
    "jehmo_model = viz.load_model(jehmo_url, x_train.shape[1], y_train.shape[1], jehmo_args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "jehmo_model.n_epochs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "#jemo_url = viz.get_model_url('jemo', DATASET, '1615528859')\n",
    "#jemo_args = viz.load_args(jemo_url)\n",
    "#jemo_model = viz.load_model(jemo_url, x_train.shape[1], y_train.shape[1], jemo_args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (20,3)\n",
    "def leave_cvx_hull(model_list, x, y):\n",
    "    fig, axs = plt.subplots(1, 3)\n",
    "    fig.suptitle('Leaving cvx hull')\n",
    "    for i, y_lbl in enumerate(['accuracy', 'confidence', 'entropy']):\n",
    "        for model in model_list:\n",
    "            y_list = []\n",
    "            for u in range(0, 1000, 100):\n",
    "                y_plot=0\n",
    "                t = np.random.uniform(-1, 1, size=x.shape)\n",
    "                py_x = tf.nn.softmax(model(x + u*t))\n",
    "                if y_lbl=='entropy':\n",
    "                    y_plot = -tf.reduce_mean(tf.reduce_sum(py_x*tf.math.log(py_x), axis=1))\n",
    "                if y_lbl=='accuracy':\n",
    "                    y_plot = tf.reduce_mean(tf.cast(\n",
    "                        tf.argmax(py_x, axis=1)==tf.argmax(y, axis=1), tf.float32))\n",
    "                if y_lbl=='confidence':\n",
    "                    y_plot = tf.reduce_mean(tf.reduce_max(py_x, 1))\n",
    "                y_list.append(y_plot.numpy())\n",
    "            axs[i].plot(np.array(y_list), label=model.name)\n",
    "        axs[i].set(xlabel='perturbation', ylabel=y_lbl+' (mean)')\n",
    "        axs[i].legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "leave_cvx_hull([ann_model, jem_model, jehmo_model], x_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def confidence_plot(models, x, xo):\n",
    "    for model in models:\n",
    "        p_in = tf.reduce_max(tf.nn.softmax(model(x)), axis=1)\n",
    "        p_out = tf.reduce_max(tf.nn.softmax(model(xo)), axis=1)\n",
    "        plt.ylabel('Frequency')\n",
    "        plt.xlabel('Confidence')\n",
    "        plt.xlim([0, 1])\n",
    "        plt.hist(p_in.numpy(), bins=20, label=f'In {model.name}', alpha=.5)\n",
    "        plt.hist(p_out.numpy(), bins=20, label=f'Out {model.name}', alpha=.5)\n",
    "        plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xgo = jehmo_model.sample_ood(x_train)\n",
    "confidence_plot([jehm_model], x_train, xgo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "confidence_plot([jehm_model], x_test, ood_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7RaczG7zmSuA1wAdaX78yTJ+vA2cPWTz8pYBzRiVJkiRJkiaIth6vq6p/ANYD01rb3wOuHe28JCuAq4ADkgwkeT2DxaZjk9wKvKS1T5L+JJ9qXe+nwPtb1/kecFarTZIkSZIkSRNAWzOdkvwRg4t1Pwl4NoOLep8HHLO986pqyQiHHnNeVa0B3jBk/wLggnbySZIkSZIkaefS7kLifwocCWwGqKpbgSd3KpQkSZIkSZImtnaLTr+qqge27iSZyjjfOidJkiRJkqTJq92i0z8keScwI8mxwMXA/+1cLEmSJEmSJE1k7RadTgc2Aj8E/hi4DHh3p0JJkiRJkiRpYmtrIfGqehj4ZOsjSZIkSZIkbVe7b6/7F4ZZw6mqntV4IkmSJEmSJE14bRWdgP4h29OBPwCe1HwcSZIkSZIkTQZtrelUVZuGfDZU1UeA3+lsNEmSJEmSJE1U7T5ed8iQ3d0YnPnU7iwpSZIkSZIk7WLaLRx9eMj2FmA98MrG00iSJEmSJGlSaPftdUd3OogkSZIkSZImj3Yfr3vb9o5X1V81E0eSJEmSJEmTwY68ve5QYGVr/3eBa4BbOxFKkiRJkiRJE1u7RafZwCFV9XOAJGcCX62qV3UqmCRJ0mS2fNUtjY956rH7Nz7mRODPUpKkndNubfZ7CvDAkP0HWm07LMkBSdYN+WxO8tZt+ixMcu+QPu8Zy7UkSZIkSZLUG+3OdPoccE2SS1v7Lwc+O5YLVtWPgAUASaYAG4BLh+n6j1V1/FiuIUmSJEmSpN5q9+11/zPJ14AXt5peW1Xfb+D6xwD/XFX/2sBYkiRJkiRJ2km0+3gdwOOBzVX1v4CBJHMbuP7JwIoRjr0oyQ+SfC3J80YaIMmyJGuSrNm4cWMDkSRJkiRJkjRebRWdkrwX+HPgjFbTNOD/jOfCSR4HLAYuHubwtcAzq+pg4K+BL480TlWdX1X9VdU/a9as8USSJEmSJElSQ9qd6fR7DBaI/gOgqu4E9hrntV8GXFtVd217oKo2V9UvWtuXAdOSzBzn9SRJkiRJktQl7RadHqiqAgogyR4NXHsJIzxal+SpSdLaPqyVc1MD15QkSZIkSVIXtPv2uouS/A2wd5I/Al4HfHKsF20VrY4F/nhI258AVNV5wInAG5NsAe4DTm4VvSRJkiRJkjQBjFp0as04+hLwXGAzcADwnqpaNdaLVtV/APts03bekO1zgXPHOr4kSZKkXcAV54zv/KPPGL2PJGnMRi06VVUluayqng+MudAkSZIkSZKkXUe7azpdm+TQjiaRJEmSJEnSpNHumk6HA69Ksp7BN9iFwUlQB3UqmCRJkiRJkiau7RadksypqjuA3+5SHkmSJEmSJE0Co810+jJwSFX9a5K/rarf70ImSZIkSZIkTXCjremUIdvP6mQQSZIkSZIkTR6jFZ1qhG1JkiRJkiRpRKM9Xndwks0Mznia0dqG/1xI/AkdTSdJkiRJkqQJabtFp6qa0q0gkiRJGp/lq25pfMxTj92/8TE1CVxxzvjHOPqM8Y+hQf73kLSTGu3xOkmSJEmSJGmHWXSSJEmSJElS4yw6SZIkSZIkqXEWnSRJkiRJktS4nhWdkqxP8sMk65KsGeZ4knw0yW1JrktySC9ySpIkSZIkacdt9+11XXB0Vd0zwrGXAfu1PocDn2h9lSRJkiRJ0k5uZ3687gTgczXoamDvJE/rdShJkiRJkiSNrpdFpwK+kWRtkmXDHN8X+PGQ/YFWmyRJkiRJknZyvXy87qiq2pDkycCqJDdX1ZU7OkirYLUMYM6cOU1nlCRJkiRJ0hj0bKZTVW1ofb0buBQ4bJsuG4BnDNmf3Wrbdpzzq6q/qvpnzZrVqbiSJEmSJEnaAT0pOiXZI8leW7eBlwLXb9NtJfDq1lvsjgDuraqfdDmqJEmSJEmSxqBXj9c9Bbg0ydYMX6iqy5P8CUBVnQdcBiwCbgN+Cby2R1klSZIkSZK0g3pSdKqq24GDh2k/b8h2AX/azVySJEmSJElqRi/fXidJkiRJkqRJyqKTJEmSJEmSGmfRSZIkSZIkSY2z6CRJkiRJkqTG9ertdZIkSdoFLV91S68jSJog/PNCmvic6SRJkiRJkqTGWXSSJEmSJElS4yw6SZIkSZIkqXEWnSRJkiRJktQ4i06SJEmSJElqnEUnSZIkSZIkNc6ikyRJkiRJkhpn0UmSJEmSJEmNm9rrAJIkSdp5LV91S68jqEt25L/1EXdsaqvfi561z1jjTBxXnNPrBJpkOvHn7qnH7t/4mFI7uj7TKckzklyR5MYkNyR5yzB9Fia5N8m61uc93c4pSZIkSZKksevFTKctwNur6tokewFrk6yqqhu36fePVXV8D/JJkiRJkiRpnLo+06mqflJV17a2fw7cBOzb7RySJEmSJEnqnJ4uJJ6kD3gB8N1hDr8oyQ+SfC3J87qbTJIkSZIkSePRs4XEk+wJ/C3w1qravM3ha4FnVtUvkiwCvgzsN8I4y4BlAHPmzOlcYEmSJEmSJLWtJzOdkkxjsOB0YVX93bbHq2pzVf2itX0ZMC3JzOHGqqrzq6q/qvpnzZrV0dySJEmSJElqTy/eXhfg08BNVfVXI/R5aqsfSQ5jMGd772WVJEmSJElSz/Xi8bojgf8C/DDJulbbO4E5AFV1HnAi8MYkW4D7gJOrqnqQVZIkSZIkSWPQ9aJTVX0byCh9zgXO7U4iSZIkSZIkNa1nC4lLkiRJO6vlq27pyLhH3HF+R8bdEVfPWda1a111+3ZWyLj9tDGN+aJn7TPGNMO44pzmxpromvhZHH3G+MfYCTRxn3bzPpN2Zj1ZSFySJEmSJEmTm0UnSZIkSZIkNc6ikyRJkiRJkhpn0UmSJEmSJEmNs+gkSZIkSZKkxll0kiRJkiRJUuMsOkmSJEmSJKlxFp0kSZIkSZLUuKm9DiBJkiSN5og7zh/3GFfPWdZAkomviZ9lL111+6ZGx3vRs/ZpdLxd2VWfPq3R8Y5odLSJxT/zNFk400mSJEmSJEmNs+gkSZIkSZKkxll0kiRJkiRJUuMsOkmSJEmSJKlxPSk6JTkuyY+S3Jbk9GGO757kS63j303S14OYkiRJkiRJGqOuF52STAE+BrwMmAcsSTJvm26vB35WVc8BlgN/0d2UkiRJkiRJGo9ezHQ6DLitqm6vqgeALwInbNPnBOCzre1LgGOSpIsZJUmSJEmSNA69KDrtC/x4yP5Aq23YPlW1BbgX2Kcr6SRJkiRJkjRuU3sdYLySLAOWtXZ/leT6XuaRdlEzgXt6HULaBXnvSTvkw00N5L0n9cYEuvca+/NmHP4zw9t6mEKTxgFjOakXRacNwDOG7M9utQ3XZyDJVOCJwKbhBquq84HzAZKsqar+xhNL2i7vPak3vPek3vDek3rDe0/qnSRrxnJeLx6v+x6wX5K5SR4HnAys3KbPSuA1re0TgW9VVXUxoyRJkiRJksah6zOdqmpLkjcBXwemABdU1Q1JzgLWVNVK4NPA55PcBvyUwcKUJEmSJEmSJoierOlUVZcBl23T9p4h2/cDfzCGoc8fZzRJY+O9J/WG957UG957Um9470m9M6b7Lz61JkmSJEmSpKb1Yk0nSZIkSZIkTXITruiU5LgkP0pyW5LThzm+e5IvtY5/N0lfD2JKk04b997bktyY5Lokf5/kmb3IKU1Go91/Q/r9fpJK4pt9pAa0c+8leWXr998NSb7Q7YzSZNTG3zvnJLkiyfdbf/dc1Iuc0mST5IIkdye5foTjSfLR1r15XZJDRhtzQhWdkkwBPga8DJgHLEkyb5turwd+VlXPAZYDf9HdlNLk0+a9932gv6oOAi4B/rK7KaXJqc37jyR7AW8BvtvdhNLk1M69l2Q/4AzgyKp6HvDWbueUJps2f++9G7ioql7A4EunPt7dlNKk9RnguO0cfxmwX+uzDPjEaANOqKITcBhwW1XdXlUPAF8ETtimzwnAZ1vblwDHJEkXM0qT0aj3XlVdUVW/bO1eDczuckZpsmrndx/A+xn8h5b7uxlOmsTauff+CPhYVf0MoKru7nJGaTJq594r4Amt7ScCd3YxnzRpVdWVwE+30+UE4HM16Gpg7yRP296YE63otC/w4yH7A622YftU1RbgXmCfrqSTJq927r2hXg98raOJpF3HqPdfa2rzM6rqq90MJk1y7fzu2x/YP8l3klydZHv/OiypPe3ce2cCr0oywOBb0f9bd6JJu7wd/f9CpnY0jqRdTpJXAf3Ab/Y6i7QrSLIb8FfAKT2OIu2KpjL4iMFCBmf4Xpnk+VX1770MJe0ClgCfqaoPJ3kR8Pkk86vq4V4Hk/RoE22m0wbgGUP2Z7fahu2TZCqD0y03dSWdNHm1c++R5CXAu4DFVfWrLmWTJrvR7r+9gPnA6iTrgSOAlS4mLo1bO7/7BoCVVfVgVf0LcAuDRShJY9fOvfd64CKAqroKmA7M7Eo6adfW1v8XDjXRik7fA/ZLMjfJ4xhcNG7lNn1WAq9pbZ8IfKuqqosZpclo1HsvyQuAv2Gw4OSaFlJztnv/VdW9VTWzqvqqqo/BNdUWV9Wa3sSVJo12/t75ZQZnOZFkJoOP293exYzSZNTOvXcHcAxAkgMZLDpt7GpKade0Enh16y12RwD3VtVPtnfChHq8rqq2JHkT8HVgCnBBVd2Q5CxgTVWtBD7N4PTK2xhcAOvk3iWWJoc2770PAnsCF7fW7r+jqhb3LLQ0SbR5/0lqWJv33teBlya5EXgIeEdVOcNeGoc27723A59MciqDi4qf4kQDafySrGDwH1NmttZMey8wDaCqzmNwDbVFwG3AL4HXjjqm96YkSZIkSZKaNtEer5MkSZIkSdIEYNFJkiRJkiRJjbPoJEmSJEmSpMZZdJIkSZIkSVLjLDpJkiRJkiSpcRadJEmSWpI8NckXk/xzkrVJLkuy/xjGeXGSG5KsS7JvkktG6Lc6Sf/4k0uSJO18LDpJkiQBSQJcCqyuqmdX1QuBM4CnjGG4pcA5VbWgqjZU1YlNZpUkSZoILDpJkiQNOhp4sKrO29pQVT8Avp3kg0muT/LDJCcBJFnYmql0SZKbk1yYQW8AXgm8v9XWl+T61jkzWjOpbkpyKTBj67WSvDTJVUmuTXJxkj1b7euTvK/V/sMkz22175nkf7farkvy+9sbR5IkqdssOkmSJA2aD6wdpv0VwALgYOAlwAeTPK117AXAW4F5wLOAI6vqU8BK4B1VtXSbsd4I/LKqDgTeC7wQIMlM4N3AS6rqEGAN8LYh593Tav8EcFqr7b8D91bV86vqIOBbbYwjSZLUNVN7HUCSJGkndxSwoqoeAu5K8g/AocBm4JqqGgBIsg7oA769nbF+A/goQFVdl+S6VvsRDBauvjP4lB+PA64act7ftb6uZbAIBoMFsJO3dqiqnyU5fpRxJEmSusaikyRJ0qAbgB1de+lXQ7YfYux/twqwqqqWjHKd0a4x2jiSJEld4+N1kiRJg74F7J5k2daGJAcB/w6clGRKklkMzla6ZozXuBL4w9bY84GDWu1XA0cmeU7r2B5tvDVvFfCnQ7L+2hjHkSRJ6giLTpIkSUBVFfB7wEuS/HOSG4BzgC8A1wE/YLAw9WdV9W9jvMwngD2T3AScRWsNqaraCJwCrGg9cncV8NxRxvofwK+1Fjj/AXD0GMeRJEnqiAz+/UqSJEmSJElqjjOdJEmSJEmS1DiLTpIkSZIkSWqcRSdJkiRJkiQ1zqKTJEmSJEmSGmfRSZIkSZIkSY2z6CRJkiRJkqTGWXSSJEmSJElS4yw6SZIkSZIkqXH/H4bQdJTMuMKpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "confidence_plot([jehmo_model], x_train, ood_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tFB2Z9MOImB0RF0fEn1W0IkmSJEmSJHVahcKkzDwMOAfYC5gTET+JiKMrWpkkSZIkSZI6ncJrJmXmc8DVlNY8+iRwU0Q8ExGnVKo4SZIkSZIkdS6FwqSIGBkRU4DFwBHAX2Xm0PL2lArWJ0mSJEmSpE6k0ALcwM3APwFfzcx31jVm5isRcXVFKpMkSZIkSVKnUzRMOh54JzPXAkTEdkBdZr6dmT+uWHWSJEmSJEnqVIqumfQLYMdW+zuV2yRJkiRJkrQNKRom1WXmynU75e2dKlOSJEmSJEmSOquiYdKfImLMup2IGAu808b5kiRJkiRJ6oaKrpn0BeCeiHgFCODPgTMrVZQkSZIkSZI6p0JhUmb+OiL2B4aUm36bmasrV5YkSZIkSZI6o6IjkwAOAgaWrxkTEWTmjypSlSRJkiRJkjqlQmFSRPwY+BjQCKwtNydgmCRJkiRJkrQNKToyqR4YlplZyWIkSZIkSZLUuRV9m9sCSotuS5IkSZIkaRtWdGRSX2BRRMwG3lvXmJknVqQqSZIkSZIkdUpFw6TrKlmEJEmSJEmSuoZCYVJm/kdEfBQYnJm/iIidgB6VLU2SJEmSJEmdTaE1kyLir4HpwK3lpj2Bf6lQTZIkSZIkSeqkii7A/XlgPPAmQGY+B+zR1gURURcRsyNiXkQsjIivldsHRcSvIuL5iLg7InbYmk9AkiRJkiRJ1VM0THovM1et24mInkC2dw1wRGYeCIwCjouIQ4BvAVMyc1/gj8CFm121JEmSJEmSaqJomPQfEfFVYMeIOBq4B3igrQuyZGV5d/vyRwJHUJoyBzANOHlzi5YkSZIkSVJtFA2TrgSagfnA/wIeBK5u76KI6BERjcDrwEzgBWB5Zq4pn9JEaf2ljV07MSIaIqKhubm5YJmSJEmSJEmqpKJvc2sB/rH8UVhmrgVGRcQuwH3A/ptx7VRgKkB9fX17U+okSZIkSZJUBYXCpIh4iY2skZSZ+xS5PjOXR8SjwMeBXSKiZ3l00gBg2WbUK0mSJEmSpBoqFCYB9a2264DTgQ+3dUFE7A6sLgdJOwJHU1p8+1HgNOAu4Dzg/s0tWpIkSZIkSbVRdJrbG+9r+l5EzAGubeOy/sC0iOhBaW2mn2Xmv0bEIuCuiPgGMBe4bQvqliRJkiRJUg0UneY2ptXudpRGKrV5bWY+DYzeSPuLwLjNqFGSJEmSJEmdRNFpbn/fansNsAQ4o8OrkSRJkiRJUqdWdJrb4ZUuRJIkSZIkSZ1f0WluX2rreGZ+t2PKkSRJkiRJUme2OW9zOwiYUd7/K2A28FwlipIkSZIkSVLnVDRMGgCMycy3ACLiOuDnmXlupQqTJEmSJElS57NdwfP6Aata7a8qt0mSJEmSJGkbUnRk0o+A2RFxX3n/ZGBaRSqSJEmSJElSp1X0bW7XR8S/AYeVmz6bmXMrV5YkSZIkSZI6o6LT3AB2At7MzO8DTRExqEI1SZIkSZIkqZMqFCZFxN8CVwBfKTdtD/zfShUlSZIkSZKkzqnoyKRPAycCfwLIzFeAPpUqSpIkSZIkSZ1T0TBpVWYmkAAR8aHKlSRJkiRJkqTOqmiY9LOIuBXYJSL+GvgF8I+VK0uSJEmSJEmdUbtvc4uIAO4G9gfeBIYA12bmzArXJkmSJEmSpAo4ZOnULb623TApMzMiHszMEYABkiRJkiRJ0jas6DS330TEQRWtRJIkSZIkSZ1euyOTyg4Gzo2IJZTe6BaUBi2NrFRhkiRJkiRJ6nzaDJMiYu/MXAocW6V6JEmSJEmS1Im1N83tXwAy83fAdzPzd60/2rowIvaKiEcjYlFELIyIy8rtH46ImRHxXPnPXTvkM5EkSZIkSVLFtRcmRavtfTbz3muAL2fmMOAQ4PMRMQy4Eng4MwcDD5f3JUmSJEmS1AW0FyblJrbblZmvZuZvyttvAYuBPYGTgGnl06YBJ2/OfSVJkiRJklQ77S3AfWBEvElphNKO5W347wW4dy7ykIgYCIwGfgX0y8xXy4d+D/TbxDUTgYkAe++9d5HHSJIkSZIkqcLaDJMys8fWPiAiegP3Al/IzDcj/nvmXGZmRGx0xFNmTgWmAtTX12/WqChJkiRJkiRVRnvT3LZKRGxPKUi6MzP/udz8WkT0Lx/vD7xeyRokSZIkSZLUcSoWJkVpCNJtwOLM/G6rQzOA88rb5wH3V6oGSZIkSZIkdaz21kzaGuOBzwDzI6Kx3PZVYDLws4i4EPgdcEYFa5AkSZIkSVIHqliYlJm/pLRQ98YcWannSpIkSZIkqXIqumaSJEmSJEmSuhfDJEmSJEmSJBVmmCRJkiRJkqTCDJMkSZIkSZJUmGGSJEmSJEmSCjNMkiRJkiRJUmGGSZIkSZIkSSrMMEmSJEmSJEmFGSZJkiRJkiSpMMMkSZIkSZIkFWaYJEmSJEmSpMIMkyRJkiRJklSYYZIkSZIkSZIKM0ySJEmSJElSYYZJkiRJkiRJKswwSZIkSZIkSYX1rHUBkiRJkiRJXcGUmc/WuoROwZFJkiRJkiRJKqxiYVJE3B4Rr0fEglZtH46ImRHxXPnPXSv1fEmSJEmSJHW8So5MugM47n1tVwIPZ+Zg4OHyviRJkiRJkrqIioVJmfkY8F/vaz4JmFbengacXKnnS5IkSZIkqeNVe82kfpn5ann790C/Kj9fkiRJkiRJW6FmC3BnZgK5qeMRMTEiGiKiobm5uYqVSZIkSZIkaVOqHSa9FhH9Acp/vr6pEzNzambWZ2b97rvvXrUCJUmSJEmStGnVDpNmAOeVt88D7q/y8yVJkiRJkrQVKhYmRcRPgSeBIRHRFBEXApOBoyPiOeCo8r4kSZIkSZK6iJ6VunFmnr2JQ0dW6pmSJEmSJEmqrJotwC1JkiRJkqSuxzBJkiRJkiRJhRkmSZIkSZIkqTDDJEmSJEmSJBVmmCRJkiRJkqTCDJMkSZIkSZJUmGGSJEmSJEmSCjNMkiRJkiRJUmGGSZIkSZIkSSrMMEmSJEmSJEmFGSZJkiRJkiSpMMMkSZIkSZKkbcAhS6d2yH0MkyRJkiRJklSYYZIkSZIkSZIK61nrAiRJkiRJkrbGlJnP1rqELqMjpro5MkmSJEmSJEmFOTJJkiRJkiRVhCOGqu+QpVN5au+JFX2GI5MkSZIkSZJUWE3CpIg4LiJ+GxHPR8SVtahBkiRJkiRJm6/q09wiogfwA+BooAn4dUTMyMxF1a5FkiRpW1SNKQdfPHq/ij9DnV+1prdU4+9bd/pcwKlHW6o7/bfNvwPdT+vpbe/fBjp06lstRiaNA57PzBczcxVwF3BSDeqQJEmSJEnSZqpFmLQn8HKr/aZymyRJkiRJkjq5yMzqPjDiNOC4zPxcef8zwMGZOel9500E1o3BGg4sqGqhkgD6An+odRHSNsi+J9WGfU+qHfufVBtDMrPP5l5U9TWTgGXAXq32B5TbNpCZU4GpABHRkJn11SlP0jr2Pak27HtSbdj3pNqx/0m1ERENW3JdLaa5/RoYHBGDImIH4CxgRg3qkCRJkiRJ0maq+sikzFwTEZOAfwd6ALdn5sJq1yFJkiRJkqTNV4tpbmTmg8CDm3HJ1ErVIqlN9j2pNux7Um3Y96Tasf9JtbFFfa/qC3BLkiRJkiSp66rFmkmSJEmSJEnqojpVmBQRx0XEbyPi+Yi4ciPHe0XE3eXjv4qIgTUoU+p2CvS9L0XEooh4OiIejoiP1qJOqbtpr++1Ou/UiMiI8C03Ugco0vci4ozyz76FEfGTatcodUcFfufcOyIejYi55d87P1WLOqXuJiJuj4jXI2LBJo5HRNxU7ptPR8SY9u7ZacKkiOgB/AD4S2AYcHZEDHvfaRcCf8zMfYEpwLeqW6XU/RTse3OB+swcCUwHvl3dKqXup2DfIyL6AJcBv6puhVL3VKTvRcRg4CvA+Mw8APhCteuUupuCP/euBn6WmaMpvfX7h9WtUuq27gCOa+P4XwKDyx8TgX9o74adJkwCxgHPZ+aLmbkKuAs46X3nnARMK29PB46MiKhijVJ31G7fy8xHM/Pt8u5TwIAq1yh1R0V+7gH8HaV/PHm3msVJ3ViRvvfXwA8y848Amfl6lWuUuqMifS+Bncvbfwa8UsX6pG4rMx8D/quNU04CfpQlTwG7RET/tu7ZmcKkPYGXW+03lds2ek5mrgFWALtVpTqp+yrS91q7EPi3ilYkbRva7XvlIcZ7ZebPq1mY1M0V+bm3H7BfRDweEU9FRFv/miupmCJ97zrg3IhoovT270uqU5q0zdvc/yekZ0XLkdStRMS5QD3wyVrXInV3EbEd8F3g/BqXIm2LelIa6j+B0mjcxyJiRGYur2VR0jbgbOCOzPz7iPg48OOIGJ6ZLbUuTNKGOtPIpGXAXq32B5TbNnpORPSkNPTxjapUJ3VfRfoeEXEUcBVwYma+V6XapO6svb7XBxgOzIqIJcAhwAwX4Za2WpGfe03AjMxcnZkvAc9SCpckbbkife9C4GcAmfkkUAf0rUp10rat0P8TttaZwqRfA4MjYlBE7EBpwbUZ7ztnBnBeefs04JHMzCrWKHVH7fa9iBgN3EopSHLdCKljtNn3MnNFZvbNzIGZOZDSemUnZmZDbcqVuo0iv3P+C6VRSUREX0rT3l6sYo1Sd1Sk7y0FjgSIiKGUwqTmqlYpbZtmAP+z/Fa3Q4AVmflqWxd0mmlumbkmIiYB/w70AG7PzIUR8XWgITNnALdRGur4PKXFo86qXcVS91Cw730H6A3cU17zfmlmnlizoqVuoGDfk9TBCva9fweOiYhFwFrg8sx0NLy0FQr2vS8D/xgRX6S0GPf5Dh6Qtl5E/JTSP5L0La9J9rfA9gCZeQulNco+BTwPvA18tt172jclSZIkSZJUVGea5iZJkiRJkqROzjBJkiRJkiRJhRkmSZIkSZIkqTDDJEmSJEmSJBVmmCRJkiRJkqTCDJMkSVK3FxF/HhF3RcQLETEnIh6MiP224D6HRcTCiGiMiD0jYvomzpsVEfVbX7kkSVLnY5gkSZK6tYgI4D5gVmZ+LDPHAl8B+m3B7c4BvpmZozJzWWae1pG1SpIkdQWGSZIkqbs7HFidmbesa8jMecAvI+I7EbEgIuZHxJkAETGhPLJoekQ8ExF3RsnngDOAvyu3DYyIBeVrdiyPfFocEfcBO657VkQcExFPRsRvIuKeiOhdbl8SEV8rt8+PiP3L7b0j4v+U256OiFPbuo8kSVK1GSZJkqTubjgwZyPtpwCjgAOBo4DvRET/8rHRwBeAYcA+wPjM/CdgBnB5Zp7zvntdBLydmUOBvwXGAkREX+Bq4KjMHAM0AF9qdd0fyu3/APzvcts1wIrMHJGZI4FHCtxHkiSpanrWugBJkqQaORT4aWauBV6LiP8ADgLeBGZnZhNARDQCA4FftnGvTwA3AWTm0xHxdLn9EEqB1OOl2XbsADzZ6rp/Lv85h1K4BaVg66x1J2TmHyPihHbuI0mSVDWGSZIkqbtbCGzu2kbvtdpey5b/zhTAzMw8u53ntPeM9u4jSZJUNU5zkyRJ3d0jQK+ImLiuISJGAsuBMyOiR0TsTml00ewtfMZjwP8o33s4MLLc/hQwPiL2LR/7UIG3yM0EPt+q1l238D6SJEkVYZgkSZK6tcxM4NPAURHxQkQsBL4J/AR4GphHKXD6m8z8/RY+5h+A3hGxGPg65TWaMrMZOB/4aXnq25PA/u3c6xvAruWFwecBh2/hfSRJkioiSr9fSZIkSZIkSe1zZJIkSZIkSZIKM0ySJEmSJElSYYZJkiRJkiRJKswwSZIkSZIkSYUZJkmSJEmSJKkwwyRJkiRJkiQVZpgkSZIkSZKkwgyTJEmSJEmSVNj/ByEn1Xg24T6nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABJMAAADQCAYAAACz8CBVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAfU0lEQVR4nO3deZjW5X3v8fdXUEYDViNKiWjAiAgCsoxoiia422jVuHs0R6Mp59KgZjlWE5eaNBqS2JDolVRp9UhyTDRirdjYU4lKbVxChjDIZlwJDhqd2IASF5b5nj+eBzoozPyAeZ5nZni/rmsufr/7t31nhtsZP9z3/YvMRJIkSZIkSSpiu1oXIEmSJEmSpK7DMEmSJEmSJEmFGSZJkiRJkiSpMMMkSZIkSZIkFWaYJEmSJEmSpMIMkyRJkiRJklRYz1oXUETfvn1z4MCBtS5DkiRJkiSp25gzZ84fMnP3zb2uS4RJAwcOpKGhodZlSJIkSZIkdRsR8bstuc5pbpIkSZIkSSrMMEmSJEmSJEmFGSZJkiRJkiSpsC6xZtLGrF69mqamJt59991al6IC6urqGDBgANtvv32tS5EkSZIkSVuhy4ZJTU1N9OnTh4EDBxIRtS5HbchM3njjDZqamhg0aFCty5EkSZIkSVuhy4ZJ7777rkFSFxER7LbbbjQ3N9e6FEmSJEmSOr0pM5+tdQlt6tJrJhkkdR1+ryRJkiRJ6h66dJhUa7179651CVtl+fLl/PCHP1y//8orr3Daaae1ec2SJUsYPnx4pUuTJEmSJEmdVJed5vZ+HT0E7ItH79eh9+uM1oVJF198MQAf+chHmD59eo2rkiRJkiRJnZkjkzrArFmzmDBhAqeddhr7778/55xzDpn5gfNuuukmhg0bxsiRIznrrLMA+NOf/sQFF1zAuHHjGD16NPfffz8A77zzDmeddRZDhw7l05/+NAcffDANDQ3AhiOipk+fzvnnnw9Ac3Mzp556KgcddBAHHXQQjz/+OADXXXcdF1xwARMmTGCfffbhpptuAuDKK6/khRdeYNSoUVx++eUbjDpasmQJhx12GGPGjGHMmDE88cQTlfniSZIkSZKkLqXbjEyqtblz57Jw4UI+8pGPMH78eB5//HEOPfTQDc6ZPHkyL730Er169WL58uUAXH/99RxxxBHcfvvtLF++nHHjxnHUUUdx6623stNOO7F48WKefvppxowZ024Nl112GV/84hc59NBDWbp0KcceeyyLFy8G4JlnnuHRRx/lrbfeYsiQIVx00UVMnjyZBQsW0NjYCJQCpHX22GMPZs6cSV1dHc899xxnn332+jBLkiRJkiRtuwyTOsi4ceMYMGAAAKNGjWLJkiUfCJNGjhzJOeecw8knn8zJJ58MwEMPPcSMGTO48cYbgdJb6pYuXcpjjz3GpZdeuv66kSNHtlvDL37xCxYtWrR+/80332TlypUAHH/88fTq1YtevXqxxx578Nprr7V5r9WrVzNp0iQaGxvp0aMHzz7buVeSlyRJkiRJ1WGY1EF69eq1frtHjx6sWbPmA+f8/Oc/57HHHuOBBx7g+uuvZ/78+WQm9957L0OGDCn8rNZvRnv33XfXb7e0tPDUU09RV1e3RfW1NmXKFPr168e8efNoaWnZ6D0lSZIkSdK2xzWTqqSlpYWXX36Zww8/nG9961usWLGClStXcuyxx3LzzTevX2Np7ty5AHziE5/gJz/5CQALFizg6aefXn+vfv36sXjxYlpaWrjvvvvWtx9zzDHcfPPN6/fXTV/blD59+vDWW29t9NiKFSvo378/2223HT/+8Y9Zu3btFn3ekiRJkiSpezFMqpK1a9dy7rnnMmLECEaPHs2ll17KLrvswjXXXMPq1asZOXIkBxxwANdccw0AF110EStXrmTo0KFce+21jB07dv29Jk+ezAknnMBf/MVf0L9///XtN910Ew0NDYwcOZJhw4Zxyy23tFnTbrvtxvjx4xk+fDiXX375Bscuvvhipk2bxoEHHsgzzzzDhz70oQ78akiSJEmSpK4qNvbWsc6mvr4+37/48+LFixk6dGiNKqq+CRMmcOONN1JfX1/rUrbYtvY9kyRJkiRpS0yZWZ11i790zJA5mbnZQYMjkyRJkiRJklSYC3B3EbNmzap1CZIkSZIkSY5MkiRJkiRJUnGGSZIkSZIkSSrMMEmSJEmSJEmFVXTNpIhYArwFrAXWZGZ9RHwYuBsYCCwBzsjMP1ayDkmSJEmSJHWMaoxMOjwzR7V61dyVwMOZORh4uLzfJTU1NXHSSScxePBgPvaxj3HZZZexatWqdq+74YYbqlBdx2hsbOTBBx9cvz9jxgwmT57c5jV33HEHkyZNqnRpkiRJkiSpBmrxNreTgAnl7WnALOCKrb7ro9/c6lts4PCvtHk4MznllFO46KKLuP/++1m7di0TJ07kqquu4jvf+U6b195www189atf7chqK6axsZGGhgY+9alPAXDiiSdy4okn1rgqSZIkSZJUK5UemZTAQxExJyImltv6Zear5e3fA/0qXENFPPLII9TV1fHZz34WgB49ejBlyhRuv/123n777Q+MzjnhhBOYNWsWV155Je+88w6jRo3inHPO2eCea9eu5fzzz2f48OGMGDGCKVOmAPDCCy9w3HHHMXbsWA477DCeeeYZAF566SU+/vGPM2LECK6++mp69+4NwKxZszjhhBPW33fSpEnccccdAMyZM4dPfvKTjB07lmOPPZZXXy19KyZMmMAVV1zBuHHj2G+//fjP//xPVq1axbXXXsvdd9/NqFGjuPvuuzf4vB544AEOPvhgRo8ezVFHHcVrr71Wga+0JEmSJEnqTCodJh2amWOAvwQ+HxGfaH0wM5NS4PQBETExIhoioqG5ubnCZW6+hQsXMnbs2A3adt55Z/bee2+ef/75TV43efJkdtxxRxobG7nzzjs3ONbY2MiyZctYsGAB8+fPXx9UTZw4kZtvvpk5c+Zw4403cvHFFwNw2WWXcdFFFzF//nz69+/fbs2rV6/mkksuYfr06cyZM4cLLriAq666av3xNWvWMHv2bL73ve/xta99jR122IGvf/3rnHnmmTQ2NnLmmWducL9DDz2Up556irlz53LWWWfx7W9/u90aJEmSJElS11bRaW6Zuaz85+sRcR8wDngtIvpn5qsR0R94fRPXTgWmAtTX1280cOpu9tlnH1588UUuueQSjj/+eI455hhWrlzJE088wemnn77+vPfeew+Axx9/nHvvvReAz3zmM1xxRduzBX/729+yYMECjj76aKA0Eqp1CHXKKacAMHbsWJYsWdJuvU1NTZx55pm8+uqrrFq1ikGDBm3W5ytJkiRJkrqeio1MiogPRUSfddvAMcACYAZwXvm084D7K1VDJQ0bNow5c+Zs0Pbmm2+ydOlS9t13X3r27ElLS8v6Y++++26799x1112ZN28eEyZM4JZbbuFzn/scLS0t7LLLLjQ2Nq7/WLx48fprIuID99nUszOTAw44YP195s+fz0MPPbT+vF69egGlKXtr1qxpt95LLrmESZMmMX/+fG699dZCn6MkSZIkSeraKjnNrR/wy4iYB8wGfp6Z/w+YDBwdEc8BR5X3u5wjjzySt99+mx/96EdAaZTPl7/8Zc4//3x22mknBg4cSGNjIy0tLbz88svMnj17/bXbb789q1ev/sA9//CHP9DS0sKpp57KN77xDX7zm9+w8847M2jQIO655x6gFAjNmzcPgPHjx3PXXXcBbDBl7qMf/SiLFi3ivffeY/ny5Tz88MMADBkyhObmZp588kmgNO1t4cKFbX6effr04a233trosRUrVrDnnnsCMG3atPa/aJIkSZIkqcurWJiUmS9m5oHljwMy8/py+xuZeWRmDs7MozLzvypVQyVFBPfddx/33HMPgwcPZr/99qOuro4bbrgBKAU9gwYNYtiwYVx66aWMGTNm/bUTJ05k5MiRH1iAe9myZUyYMIFRo0Zx7rnn8s1vlt5Qd+edd3Lbbbdx4IEHcsABB3D//aXBXN///vf5wQ9+wIgRI1i2bNn6++y1116cccYZDB8+nDPOOIPRo0cDsMMOOzB9+nSuuOIKDjzwQEaNGsUTTzzR5ud5+OGHs2jRovULcLd23XXXcfrppzN27Fj69u27hV9JSZIkSZLUlURpDezOrb6+PhsaGjZoW7x4MUOHDq1RRZ1T7969WblyZa3L2CS/Z5IkSZIktW/KzGer8pwvHTNkTmbWb+51lX6bmyRJkiRJkroRw6RupDOPSpIkSZIkSd2DYZIkSZIkSZIK69JhUldY70klfq8kSZIkSeoeumyYVFdXxxtvvGFI0QVkJm+88QZ1dXW1LkWSJEmSJG2lnrUuYEsNGDCApqYmmpuba12KCqirq2PAgAG1LkOSJEmSJG2lLhsmbb/99gwaNKjWZUiSJEmSJG1Tuuw0N0mSJEmSJFWfYZIkSZIkSZIKM0ySJEmSJElSYYZJkiRJkiRJKswwSZIkSZIkSYUZJkmSJEmSJKkwwyRJkiRJkiQVZpgkSZIkSZKkwgyTJEmSJEmSVJhhkiRJkiRJkgqreJgUET0iYm5E/Gt5f1BE/Coino+IuyNih0rXIEmSJEmSpI5RjZFJlwGLW+1/C5iSmfsCfwQurEINkiRJkiRJ6gAVDZMiYgBwPPBP5f0AjgCml0+ZBpxcyRokSZIkSZLUcSo9Mul7wN8ALeX93YDlmbmmvN8E7FnhGiRJkiRJktRBKhYmRcQJwOuZOWcLr58YEQ0R0dDc3NzB1UmSJEmSJGlLVHJk0njgxIhYAtxFaXrb94FdIqJn+ZwBwLKNXZyZUzOzPjPrd9999wqWKUmSJEmSpKIqFiZl5lcyc0BmDgTOAh7JzHOAR4HTyqedB9xfqRokSZIkSZLUsarxNrf3uwL4UkQ8T2kNpdtqUIMkSZIkSZK2QM/2T4GIGJGZ87f0IZk5C5hV3n4RGLel95IkSZIkSVLtFB2Z9MOImB0RF0fEn1W0IkmSJEmSJHVahcKkzDwMOAfYC5gTET+JiKMrWpkkSZIkSZI6ncJrJmXmc8DVlNY8+iRwU0Q8ExGnVKo4SZIkSZIkdS6FwqSIGBkRU4DFwBHAX2Xm0PL2lArWJ0mSJEmSpE6k0ALcwM3APwFfzcx31jVm5isRcXVFKpMkSZIkSVKnUzRMOh54JzPXAkTEdkBdZr6dmT+uWHWSJEmSJEnqVIqumfQLYMdW+zuV2yRJkiRJkrQNKRom1WXmynU75e2dKlOSJEmSJEmSOquiYdKfImLMup2IGAu808b5kiRJkiRJ6oaKrpn0BeCeiHgFCODPgTMrVZQkSZIkSZI6p0JhUmb+OiL2B4aUm36bmasrV5YkSZIkSZI6o6IjkwAOAgaWrxkTEWTmjypSlSRJkiRJkjqlQmFSRPwY+BjQCKwtNydgmCRJkiRJkrQNKToyqR4YlplZyWIkSZIkSZLUuRV9m9sCSotuS5IkSZIkaRtWdGRSX2BRRMwG3lvXmJknVqQqSZIkSZIkdUpFw6TrKlmEJEmSJEmSuoZCYVJm/kdEfBQYnJm/iIidgB6VLU2SJEmSJEmdTaE1kyLir4HpwK3lpj2Bf6lQTZIkSZIkSeqkii7A/XlgPPAmQGY+B+zR1gURURcRsyNiXkQsjIivldsHRcSvIuL5iLg7InbYmk9AkiRJkiRJ1VM0THovM1et24mInkC2dw1wRGYeCIwCjouIQ4BvAVMyc1/gj8CFm121JEmSJEmSaqJomPQfEfFVYMeIOBq4B3igrQuyZGV5d/vyRwJHUJoyBzANOHlzi5YkSZIkSVJtFA2TrgSagfnA/wIeBK5u76KI6BERjcDrwEzgBWB5Zq4pn9JEaf2ljV07MSIaIqKhubm5YJmSJEmSJEmqpKJvc2sB/rH8UVhmrgVGRcQuwH3A/ptx7VRgKkB9fX17U+okSZIkSZJUBYXCpIh4iY2skZSZ+xS5PjOXR8SjwMeBXSKiZ3l00gBg2WbUK0mSJEmSpBoqFCYB9a2264DTgQ+3dUFE7A6sLgdJOwJHU1p8+1HgNOAu4Dzg/s0tWpIkSZIkSbVRdJrbG+9r+l5EzAGubeOy/sC0iOhBaW2mn2Xmv0bEIuCuiPgGMBe4bQvqliRJkiRJUg0UneY2ptXudpRGKrV5bWY+DYzeSPuLwLjNqFGSJEmSJEmdRNFpbn/fansNsAQ4o8OrkSRJkiRJUqdWdJrb4ZUuRJIkSZIkSZ1f0WluX2rreGZ+t2PKkSRJkiRJUme2OW9zOwiYUd7/K2A28FwlipIkSZIkSVLnVDRMGgCMycy3ACLiOuDnmXlupQqTJEmSJElS57NdwfP6Aata7a8qt0mSJEmSJGkbUnRk0o+A2RFxX3n/ZGBaRSqSJEmSJElSp1X0bW7XR8S/AYeVmz6bmXMrV5YkSZIkSZI6o6LT3AB2At7MzO8DTRExqEI1SZIkSZIkqZMqFCZFxN8CVwBfKTdtD/zfShUlSZIkSZKkzqnoyKRPAycCfwLIzFeAPpUqSpIkSZIkSZ1T0TBpVWYmkAAR8aHKlSRJkiRJkqTOqmiY9LOIuBXYJSL+GvgF8I+VK0uSJEmSJEmdUbtvc4uIAO4G9gfeBIYA12bmzArXJkmSJEmSpAo4ZOnULb623TApMzMiHszMEYABkiRJkiRJ0jas6DS330TEQRWtRJIkSZIkSZ1euyOTyg4Gzo2IJZTe6BaUBi2NrFRhkiRJkiRJ6nzaDJMiYu/MXAocW6V6JEmSJEmS1Im1N83tXwAy83fAdzPzd60/2rowIvaKiEcjYlFELIyIy8rtH46ImRHxXPnPXTvkM5EkSZIkSVLFtRcmRavtfTbz3muAL2fmMOAQ4PMRMQy4Eng4MwcDD5f3JUmSJEmS1AW0FyblJrbblZmvZuZvyttvAYuBPYGTgGnl06YBJ2/OfSVJkiRJklQ77S3AfWBEvElphNKO5W347wW4dy7ykIgYCIwGfgX0y8xXy4d+D/TbxDUTgYkAe++9d5HHSJIkSZIkqcLaDJMys8fWPiAiegP3Al/IzDcj/nvmXGZmRGx0xFNmTgWmAtTX12/WqChJkiRJkiRVRnvT3LZKRGxPKUi6MzP/udz8WkT0Lx/vD7xeyRokSZIkSZLUcSoWJkVpCNJtwOLM/G6rQzOA88rb5wH3V6oGSZIkSZIkdaz21kzaGuOBzwDzI6Kx3PZVYDLws4i4EPgdcEYFa5AkSZIkSVIHqliYlJm/pLRQ98YcWannSpIkSZIkqXIqumaSJEmSJEmSuhfDJEmSJEmSJBVmmCRJkiRJkqTCDJMkSZIkSZJUmGGSJEmSJEmSCjNMkiRJkiRJUmGGSZIkSZIkSSrMMEmSJEmSJEmFGSZJkiRJkiSpMMMkSZIkSZIkFWaYJEmSJEmSpMIMkyRJkiRJklSYYZIkSZIkSZIKM0ySJEmSJElSYYZJkiRJkiRJKswwSZIkSZIkSYX1rHUBkiRJkiRJXcGUmc/WuoROwZFJkiRJkiRJKqxiYVJE3B4Rr0fEglZtH46ImRHxXPnPXSv1fEmSJEmSJHW8So5MugM47n1tVwIPZ+Zg4OHyviRJkiRJkrqIioVJmfkY8F/vaz4JmFbengacXKnnS5IkSZIkqeNVe82kfpn5ann790C/Kj9fkiRJkiRJW6FmC3BnZgK5qeMRMTEiGiKiobm5uYqVSZIkSZIkaVOqHSa9FhH9Acp/vr6pEzNzambWZ2b97rvvXrUCJUmSJEmStGnVDpNmAOeVt88D7q/y8yVJkiRJkrQVKhYmRcRPgSeBIRHRFBEXApOBoyPiOeCo8r4kSZIkSZK6iJ6VunFmnr2JQ0dW6pmSJEmSJEmqrJotwC1JkiRJkqSuxzBJkiRJkiRJhRkmSZIkSZIkqTDDJEmSJEmSJBVmmCRJkiRJkqTCDJMkSZIkSZJUmGGSJEmSJEmSCjNMkiRJkiRJUmGGSZIkSZIkSSrMMEmSJEmSJEmFGSZJkiRJkiSpMMMkSZIkSZKkbcAhS6d2yH0MkyRJkiRJklSYYZIkSZIkSZIK61nrAiRJkiRJkrbGlJnP1rqELqMjpro5MkmSJEmSJEmFOTJJkiRJkiRVhCOGqu+QpVN5au+JFX2GI5MkSZIkSZJUWE3CpIg4LiJ+GxHPR8SVtahBkiRJkiRJm6/q09wiogfwA+BooAn4dUTMyMxF1a5FkiRpW1SNKQdfPHq/ij9DnV+1prdU4+9bd/pcwKlHW6o7/bfNvwPdT+vpbe/fBjp06lstRiaNA57PzBczcxVwF3BSDeqQJEmSJEnSZqpFmLQn8HKr/aZymyRJkiRJkjq5yMzqPjDiNOC4zPxcef8zwMGZOel9500E1o3BGg4sqGqhkgD6An+odRHSNsi+J9WGfU+qHfufVBtDMrPP5l5U9TWTgGXAXq32B5TbNpCZU4GpABHRkJn11SlP0jr2Pak27HtSbdj3pNqx/0m1ERENW3JdLaa5/RoYHBGDImIH4CxgRg3qkCRJkiRJ0maq+sikzFwTEZOAfwd6ALdn5sJq1yFJkiRJkqTNV4tpbmTmg8CDm3HJ1ErVIqlN9j2pNux7Um3Y96Tasf9JtbFFfa/qC3BLkiRJkiSp66rFmkmSJEmSJEnqojpVmBQRx0XEbyPi+Yi4ciPHe0XE3eXjv4qIgTUoU+p2CvS9L0XEooh4OiIejoiP1qJOqbtpr++1Ou/UiMiI8C03Ugco0vci4ozyz76FEfGTatcodUcFfufcOyIejYi55d87P1WLOqXuJiJuj4jXI2LBJo5HRNxU7ptPR8SY9u7ZacKkiOgB/AD4S2AYcHZEDHvfaRcCf8zMfYEpwLeqW6XU/RTse3OB+swcCUwHvl3dKqXup2DfIyL6AJcBv6puhVL3VKTvRcRg4CvA+Mw8APhCteuUupuCP/euBn6WmaMpvfX7h9WtUuq27gCOa+P4XwKDyx8TgX9o74adJkwCxgHPZ+aLmbkKuAs46X3nnARMK29PB46MiKhijVJ31G7fy8xHM/Pt8u5TwIAq1yh1R0V+7gH8HaV/PHm3msVJ3ViRvvfXwA8y848Amfl6lWuUuqMifS+Bncvbfwa8UsX6pG4rMx8D/quNU04CfpQlTwG7RET/tu7ZmcKkPYGXW+03lds2ek5mrgFWALtVpTqp+yrS91q7EPi3ilYkbRva7XvlIcZ7ZebPq1mY1M0V+bm3H7BfRDweEU9FRFv/miupmCJ97zrg3IhoovT270uqU5q0zdvc/yekZ0XLkdStRMS5QD3wyVrXInV3EbEd8F3g/BqXIm2LelIa6j+B0mjcxyJiRGYur2VR0jbgbOCOzPz7iPg48OOIGJ6ZLbUuTNKGOtPIpGXAXq32B5TbNnpORPSkNPTxjapUJ3VfRfoeEXEUcBVwYma+V6XapO6svb7XBxgOzIqIJcAhwAwX4Za2WpGfe03AjMxcnZkvAc9SCpckbbkife9C4GcAmfkkUAf0rUp10rat0P8TttaZwqRfA4MjYlBE7EBpwbUZ7ztnBnBeefs04JHMzCrWKHVH7fa9iBgN3EopSHLdCKljtNn3MnNFZvbNzIGZOZDSemUnZmZDbcqVuo0iv3P+C6VRSUREX0rT3l6sYo1Sd1Sk7y0FjgSIiKGUwqTmqlYpbZtmAP+z/Fa3Q4AVmflqWxd0mmlumbkmIiYB/w70AG7PzIUR8XWgITNnALdRGur4PKXFo86qXcVS91Cw730H6A3cU17zfmlmnlizoqVuoGDfk9TBCva9fweOiYhFwFrg8sx0NLy0FQr2vS8D/xgRX6S0GPf5Dh6Qtl5E/JTSP5L0La9J9rfA9gCZeQulNco+BTwPvA18tt172jclSZIkSZJUVGea5iZJkiRJkqROzjBJkiRJkiRJhRkmSZIkSZIkqTDDJEmSJEmSJBVmmCRJkiRJkqTCDJMkSVK3FxF/HhF3RcQLETEnIh6MiP224D6HRcTCiGiMiD0jYvomzpsVEfVbX7kkSVLnY5gkSZK6tYgI4D5gVmZ+LDPHAl8B+m3B7c4BvpmZozJzWWae1pG1SpIkdQWGSZIkqbs7HFidmbesa8jMecAvI+I7EbEgIuZHxJkAETGhPLJoekQ8ExF3RsnngDOAvyu3DYyIBeVrdiyPfFocEfcBO657VkQcExFPRsRvIuKeiOhdbl8SEV8rt8+PiP3L7b0j4v+U256OiFPbuo8kSVK1GSZJkqTubjgwZyPtpwCjgAOBo4DvRET/8rHRwBeAYcA+wPjM/CdgBnB5Zp7zvntdBLydmUOBvwXGAkREX+Bq4KjMHAM0AF9qdd0fyu3/APzvcts1wIrMHJGZI4FHCtxHkiSpanrWugBJkqQaORT4aWauBV6LiP8ADgLeBGZnZhNARDQCA4FftnGvTwA3AWTm0xHxdLn9EEqB1OOl2XbsADzZ6rp/Lv85h1K4BaVg66x1J2TmHyPihHbuI0mSVDWGSZIkqbtbCGzu2kbvtdpey5b/zhTAzMw8u53ntPeM9u4jSZJUNU5zkyRJ3d0jQK+ImLiuISJGAsuBMyOiR0TsTml00ewtfMZjwP8o33s4MLLc/hQwPiL2LR/7UIG3yM0EPt+q1l238D6SJEkVYZgkSZK6tcxM4NPAURHxQkQsBL4J/AR4GphHKXD6m8z8/RY+5h+A3hGxGPg65TWaMrMZOB/4aXnq25PA/u3c6xvAruWFwecBh2/hfSRJkioiSr9fSZIkSZIkSe1zZJIkSZIkSZIKM0ySJEmSJElSYYZJkiRJkiRJKswwSZIkSZIkSYUZJkmSJEmSJKkwwyRJkiRJkiQVZpgkSZIkSZKkwgyTJEmSJEmSVNj/ByEn1Xg24T6nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "confidence_plot([ann_model], x_train, ood_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V9cdJXjLZ9Kru/tLslQUAAADAXDT0Nrck2SfJXd39y0k2VtUBs1QTAAAAAHPUoDCpqt6R5GeTnDvZtFeS352togAAAACYm4auTPrRJCcl+Zck6e7bkzx2OgNX1YKq+lJV/Z/p9AMAAADA6AwNk+7t7k7SSVJVj5mBsd+Q5MYZ6AcAAACAERkaJn2sqn4zyeOr6ieTfCbJb0110KpamuSHk7x/qn0AAAAAMHo7fZpbVVWS309ySJK7khyc5Oe7e+00xn1vkp/JNG+VAwAAAGC0dhomdXdX1ae6+1lJphMgJUmq6sQk3+7uDVV1zA7OW51kdZIsW7ZsusMCAIzEmrU3jbuEsdqdPv9Zxx807hIAYLc09Da3L1bV82ZozKOTnFRVtyb5aJIfqKp/9WS47r6ou1d298olS5bM0NAAAAAATMfQMOkFSa6qqr+pqmur6stVde1UBuzuc7t7aXcvT3Jaks929xlT6QsAAACA0drhbW5Vtay7b0vy70dUDwAAAABz2M72TPqjJEd2999V1R9094/N5ODdvS7JupnsEwAAAIDZs7Pb3Gqb10+fzUIAAAAAmPt2Fib1I7wGAAAAYA+0s9vcnl1Vd2VihdLiydeZPO7uftysVgcAAADAnLLDMKm7F4yqEAAAAADmvp3d5gYAAAAAWwmTAAAAABhMmAQAAADAYMIkAAAAAAYTJgEAAAAwmDAJAAAAgMEWjrsAAAAYhzVrbxp3CYPNRq1nHX/QjPc5r1xx/i5fctRtm2ahEIC5x8okAAAAAAYTJgEAAAAwmDAJAAAAgMGESQAAAAAMJkwCAAAAYDBhEgAAAACDCZMAAAAAGEyYBAAAAMBgwiQAAAAABhMmAQAAADCYMAkAAACAwUYeJlXVU6vqiqq6oaqur6o3jLoGAAAAAKZm4RjG3JLkzd39xap6bJINVbW2u28YQy0AAAAA7IKRr0zq7m929xcnX/9zkhuT7D/qOgAAAADYdWPdM6mqlid5TpIvjLMOAAAAAIYZx21uSZKq2jfJHyR5Y3fftZ33VydZnSTLli0bcXUAADDcUbddNO4SkiRXLVs91vGvvGVTcsvZY61hq53U8cKnP3FEhYzXTPy3OfS/qzVrb5r2WLNptr8Xs/H5zzr+oBnvE2bCWFYmVdVemQiSLu7uP9zeOd19UXev7O6VS5YsGW2BAAAAAGzXOJ7mVkk+kOTG7v6lUY8PAAAAwNSNY2XS0Un+U5IfqKprJr9OGEMdAAAAAOyike+Z1N1/kaRGPS4AAAAA0zfWp7kBAAAAsHsRJgEAAAAwmDAJAAAAgMGESQAAAAAMJkwCAAAAYDBhEgAAAACDCZMAAAAAGEyYBAAAAMBgwiQAAAAABhMmAQAAADDYwnEXAADAnuuo2y6adh9XLVs9A5XMD7vy/bzyA7NYyG7gyls2jbuE3cZMzFP+v+nO05n4O++s4w+adh/s2axMAgAAAGAwYRIAAAAAgwmTAAAAABhMmAQAAADAYMIkAAAAAAYTJgEAAAAwmDAJAAAAgMGESQAAAAAMJkwCAAAAYDBhEgAAAACDCZMAAAAAGGwsYVJV/VBVfbWqbq6qc8ZRAwAAAAC7buRhUlUtSPKrSV6W5LAkp1fVYaOuAwAAAIBdN46VSc9PcnN339Ld9yb5aJKTx1AHAAAAALtoHGHS/km+vs3xxsk2AAAAAOa4heMu4JFU1eokqycPv1tV142zHthD7ZfkznEXAXsgcw92yS/OVEfmHozPbjL/Zuzvm2mYfg1vmoEqmDcOnspF4wiTvpHkqdscL51se4juvijJRUlSVeu7e+VoygMeZO7BeJh7MB7mHoyP+QfjUVXrp3LdOG5z+6skB1bVAVX16CSnJbl8DHUAAAAAsItGvjKpu7dU1euS/EmSBUk+2N3Xj7oOAAAAAHbdWPZM6u5PJfnULlxy0WzVAuyQuQfjYe7BeJh7MD7mH4zHlOZedfdMFwIAAADAPDWOPZMAAAAA2E3NqTCpqn6oqr5aVTdX1TnbeX/vqvr9yfe/UFXLx1AmzDsD5t6bquqGqrq2qv6sqp42jjphvtnZ3NvmvB+rqq4qT7mBGTBk7lXVKyd/9l1fVb836hphPhrwO+eyqrqiqr40+XvnCeOoE+abqvpgVX27qq57hPerqn5lcm5eW1VH7qzPORMmVdWCJL+a5GVJDktyelUd9rDTXp3kH7v7mUnWJHn3aKuE+Wfg3PtSkpXdfUSSy5L8z9FWCfPPwLmXqnpskjck+cJoK4T5acjcq6oDk5yb5Oju/rdJ3jjqOmG+Gfhz7+1JPtbdz8nEU79/bbRVwrz1oSQ/tIP3X5bkwMmv1Ul+fWcdzpkwKcnzk9zc3bd0971JPprk5Iedc3KS35l8fVmS46qqRlgjzEc7nXvdfUV33z15eFWSpSOuEeajIT/3kuQXMvGPJ5tHWRzMY0Pm3k8m+dXu/sck6e5vj7hGmI+GzL1O8rjJ19+T5PYR1gfzVnd/Lsk/7OCUk5N8uCdcleTxVfWUHfU5l8Kk/ZN8fZvjjZNt2z2nu7ck+U6SJ46kOpi/hsy9bb06yR/PakWwZ9jp3JtcYvzU7v7kKAuDeW7Iz72DkhxUVZ+vqquqakf/mgsMM2TuvTPJGVW1MRNP//7p0ZQGe7xd/X/CLJzVcoB5parOSLIyyfePuxaY76rqUUl+KcmZYy4F9kQLM7HU/5hMrMb9XFU9q7v/aZxFwR7g9CQf6u5frKoXJvlIVR3e3Q+MuzDgoebSyqRvJHnqNsdLJ9u2e05VLczE0sdNI6kO5q8hcy9V9dIkb0tyUnd/d0S1wXy2s7n32CSHJ1lXVbcmOSrJ5Tbhhmkb8nNvY5LLu/u+7v7bJDdlIlwCpm7I3Ht1ko8lSXdfmWRRkv1GUh3s2Qb9P+G25lKY9FdJDqyqA6rq0ZnYcO3yh51zeZIfn3x9SpLPdnePsEaYj3Y696rqOUl+MxNBkn0jYGbscO5193e6e7/uXt7dyzOxX9lJ3b1+POXCvDHkd84/ysSqpFTVfpm47e2WEdYI89GQuXdbkuOSpKoOzUSYdMdIq4Q90+VJ/vPkU92OSvKd7v7mji6YM7e5dfeWqnpdkj9JsiDJB7v7+qp6V5L13X15kg9kYqnjzZnYPOq08VUM88PAufeeJPsmuXRyz/vbuvuksRUN88DAuQfMsIFz70+S/GBV3ZDk/iRv6W6r4WEaBs69Nyf5rao6KxObcZ9p8QBMX1Vdkol/JNlvck+ydyTZK0m6+zcysUfZCUluTnJ3klfttE9zEwAAAICh5tJtbgAAAADMccIkAAAAAAYTJgEAAAAwmDAJAAAAgMGESQAAAAAMJkwCAOa9qnpyVX20qv6mqjZU1aeq6qAp9POSqrq+qq6pqv2r6rJHOG9dVa2cfuUAAHOPMAkAmNeqqpJ8PMm67n5Gdz83yblJnjSF7lYlOb+7V3T3N7r7lJmsFQBgdyBMAgDmu2OT3Nfdv/FgQ3f/dZK/qKr3VNV1VfXlqjo1SarqmMmVRZdV1Veq6uKa8Jokr0zyC5Nty6vquslrFk+ufLqxqj6eZPGDY1XVD1bVlVX1xaq6tKr2nWy/tar+22T7l6vqkMn2favqtyfbrq2qH9tRPwAAoyZMAgDmu8OTbNhO+yuSrEjy7CQvTfKeqnrK5HvPSfLGJIcleXqSo7v7/UkuT/KW7l71sL5em+Tu7j40yTuSPDdJqmq/JG9P8tLuPjLJ+iRv2ua6Oyfbfz3J2ZNtP5fkO939rO4+IslnB/QDADAyC8ddAADAmLw4ySXdfX+Sb1XVnyd5XpK7klzd3RuTpKquSbI8yV/soK9/l+RXkqS7r62qayfbj8pEIPX5ibvt8ugkV25z3R9O/rkhE+FWMhFsnfbgCd39j1V14k76AQAYGWESADDfXZ9kV/c2+u42r+/P1H9nqiRru/v0nYyzszF21g8AwMi4zQ0AmO8+m2Tvqlr9YENVHZHkn5KcWlULqmpJJlYXXT3FMT6X5D9O9n14kiMm269KcnRVPXPyvccMeIrc2iQ/tU2tT5hiPwAAs0KYBADMa93dSX40yUur6m+q6vok5yf5vSTXJvnrTAROP9Pdfz/FYX49yb5VdWOSd2Vyj6buviPJmUkumbz17cokh+ykr/+e5AmTG4P/dZJjp9gPAMCsqInfrwAAAABg56xMAgAAAGAwYRIAAAAAgwmTAAAAABhMmAQAAADAYMIkAAAAAAYTJgEAAAAwmDAJAAAAgMGESQAAAAAM9v8AmVa+uwDC6T0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "confidence_plot([jehmo_model], xgo, ood_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def analyze_features(model, x, xo, idx):\n",
    "    plt.figure()\n",
    "    plt.hist(x[:, idx], bins=20, color='blue', label='sample', alpha=.5)\n",
    "    plt.hist(xo[:, idx], bins=20, color='red', label='ood', alpha=.5)\n",
    "    if model.name in ['JEM', 'JEHM']:\n",
    "        xgo = model.sample_ood(x)\n",
    "        plt.hist(xgo[:, idx].numpy(), bins=20, color='green', label='gen_o', alpha=.5)\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(4):\n",
    "    analyze_features(jehmo_model, x_train, ood_x, i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calibration_plot(model, x, y, ece):\n",
    "    py_x = tf.nn.softmax(model(x))\n",
    "    p = tf.reduce_max(py_x, axis=1).numpy()\n",
    "    \n",
    "    hat_y = tf.argmax(py_x, axis=1)\n",
    "    y = tf.argmax(y, axis=1)\n",
    "    acc = tf.cast(hat_y==y, tf.float32).numpy()\n",
    "    \n",
    "    acc_list = []\n",
    "    p_list = []\n",
    "    for i in np.arange(0,1,.1):\n",
    "        idx_u = p<=i+.1\n",
    "        idx_l = i<=p\n",
    "        idx = idx_l*idx_u\n",
    "        if p[idx]!=[]:\n",
    "            p_list.append(np.mean(p[idx]))\n",
    "            acc_list.append(np.mean(acc[idx]))\n",
    "        else:\n",
    "            p_list.append(0)\n",
    "            acc_list.append(0)\n",
    "    print(p_list)\n",
    "    print(acc_list)\n",
    "    plt.title(f'Calibration {model.name}: {ece}')\n",
    "    plt.ylabel('Frequency')\n",
    "    plt.xlabel('ACC/Conf')\n",
    "    plt.xlim([0, 1])\n",
    "    plt.bar(np.arange(0,1,.1), height=acc_list, width=.1,\n",
    "            color='blue', label='accuracy', alpha=.75)\n",
    "    plt.bar(np.arange(0,1,.1), height=p_list, width=.1,\n",
    "            color='red', label='confidence', alpha=.75)\n",
    "    plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9757646]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9757646]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9757646]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "calibration_plot(ann_model, x_test, y_test, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.54526496, 0, 0, 0.83214164, 0]\n",
      "[0, 0, 0, 0, 0, 0.8, 0, 0, 1.0, 0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.54526496, 0, 0, 0.83214164, 0]\n",
      "[0, 0, 0, 0, 0, 0.8, 0, 0, 1.0, 0]\n",
      "[0, 0, 0, 0, 0, 0.54526496, 0, 0, 0.83214164, 0]\n",
      "[0, 0, 0, 0, 0, 0.8, 0, 0, 1.0, 0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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UFePGjeOb3/zmGvvZZJNNuPTSSznllFN45pln2HTTTZk/f36/+xkoWZ9hW70wY8aMWrhwYa/LkCRJkqSeGOi3s2twXXddrysYuu6++2523XXXXpexQVjdZ53klqqa0Ul/TouTJEmSJElSx5wWJ0mSJEnDyGduc+jS8ObQJY08XR25lOSgJPcmWZTk9NWcn5DkuiS3JrkjyR92sx5JkiRJkiQNrK6FS0lGAecCBwOTgaOSTO7T7AzgsqqaDhwJfKFb9UiSJEmSpKFtuK0LPRx14zPu5silvYFFVXV/VT0HXAIc2qdNAVs1t7cGftHFeiRJkiRJ0hA1ZswYli5dasDURVXF0qVLGTNmzID22801l3YAHmrZXwLs06fNWcD3kpwCbA68sYv1SJIkSZKkIWr8+PEsWbKERx99tNeljGhjxoxh/PjxA9pnrxf0Pgq4qKo+neS1wMVJplTVb1sbJTkBOAFgwoQJPShTkiR1g6/THt58nbYkaSBtvPHGTJo0qddlqAPdnBb3MLBjy/745rFWxwGXAVTVTcAYYGzfjqpqTlXNqKoZ48aN61K5kiRJkiRJ6q9uhksLgJ2STEqyCY0Fu+f1afMgcABAkl1phEuOf5MkSZIkSRomuhYuVdUK4GTgGuBuGm+FuzPJ2UkOaTb7S+D4JLcD3wBmlSt3SZIkSZIkDRtdXXOpqq4Gru5z7MyW7buAP+hmDZIkSZIkSeqebk6LkyRJkiRJ0ghnuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOtRUuJdm924VIkiRJkiRp+Gl35NIXkvw4yUlJtu5qRZIkSZIkSRo22gqXqup1wNHAjsAtSb6e5MCuViZJkiRJkqQhr+01l6rqPuAM4K+ANwCfT3JPknd0qzhJkiRJkiQNbe2uuTQ1yT8AdwP7A2+rql2b2//QxfokSZIkSZI0hI1us905wD8BH66qZ1YerKpfJDmjK5VJkiRJkiRpyGs3XHoL8ExVvQCQZCNgTFX9pqou7lp1kiRJkiRJGtLaXXNpPrBpy/5mzWOSJEmSJEnagLUbLo2pqqdW7jS3N1vXRUkOSnJvkkVJTl9Dmz9OcleSO5N8vc16JEmSJEmSNAS0Oy3u6SR7VNV/AiTZE3hmbRckGQWcCxwILAEWJJlXVXe1tNkJ+BDwB1X1eJLf6eSHkCRJkiRJUm+0Gy79OXB5kl8AAX4XOGId1+wNLKqq+wGSXAIcCtzV0uZ44Nyqehygqn7ZfumSJEmSJEnqtbbCpapakORVwC7NQ/dW1fPruGwH4KGW/SXAPn3a7AyQ5IfAKOCsqvpuOzVJkiRJkiSp99oduQSwFzCxec0eSaiquQNw/52AfYHxwA1Jdq+qJ1obJTkBOAFgwoQJ63lLSZIkSZIkDZS2wqUkFwO/B9wGvNA8XMDawqWHgR1b9sc3j7VaAvyoOQrqgSQ/oxE2LWhtVFVzgDkAM2bMqHZqliRJkiRJUve1O3JpBjC5qvoT7CwAdkoyiUaodCTwrj5tvgkcBVyYZCyNaXL39+MekiRJkiRJ6qGN2mz3UxqLeLetqlYAJwPXAHcDl1XVnUnOTnJIs9k1wNIkdwHXAadW1dL+3EeSJEmSJEm90+7IpbHAXUl+DDy78mBVHbLmS6Cqrgau7nPszJbtAj7Q/JIkSZIkSdIw0264dFY3i5AkSZIkSdLw1Fa4VFX/nuQVwE5VNT/JZsCo7pYmSZIkSZKkoa6tNZeSHA9cAZzfPLQDjcW4JUmSJEmStAFrd1rc+4C9gR8BVNV9SX6na1VJkqQNwmdu26/XJWi9XNfrAiRJ0hDQ7tvinq2q51buJBkNVHdKkiRJkiRJ0nDRbrj070k+DGya5EDgcuBfu1eWJEmSJEmShoN2w6XTgUeBnwD/G7gaOKNbRUmSJEmSJGl4aPdtcb8FvtT8kiRJkiRJkoA2w6UkD7CaNZaq6pUDXpEkSZIkSZKGjXbfFjejZXsMcDiw3cCXI0mSJEmSpOGkrTWXqmppy9fDVfVZ4C3dLU2SJEmSJElDXbvT4vZo2d2Ixkimdkc9SZIkSZIkaYRqNyD6dMv2CmAx8McDXo0kSZIkSZKGlXbfFrdftwuRJEmSJEnS8NPutLgPrO18VX1mYMqRJEmSJEnScNKft8XtBcxr7r8N+DFwXzeKkiRJkiRJ0vDQbrg0Htijqp4ESHIW8O2qene3CpMkSZIkSdLQt1Gb7V4GPNey/1zzmCRJkiRJkjZg7Y5cmgv8OMlVzf3DgK90pSJJkiRJkiQNG+2+Le5vk3wHeF3z0OyqurV7ZUmSJEmSJGk4aHdaHMBmwK+r6nPAkiSTulSTJEmSJEmShom2wqUkfw38FfCh5qGNga92qyhJkiRJkiQND+2OXHo7cAjwNEBV/QLYcl0XJTkoyb1JFiU5fS3t/ihJJZnRZj2SJEmSJEkaAtoNl56rqgIKIMnm67ogySjgXOBgYDJwVJLJq2m3JfBnwI/aLVqSJEmSJElDQ7vh0mVJzge2SXI8MB/40jqu2RtYVFX3V9VzwCXAoatp9zHg74DlbdYiSZIkSZKkIWKdb4tLEuBS4FXAr4FdgDOr6vvruHQH4KGW/SXAPn363gPYsaq+neTU/hQuSZIkSZKk3ltnuFRVleTqqtodWFeg1LYkGwGfAWa10fYE4ASACRMmDFQJkiRJkiRJWk/tTov7zyR79bPvh4EdW/bHN4+ttCUwBbg+yWLgNcC81S3qXVVzqmpGVc0YN25cP8uQJEmSJElSt6xz5FLTPsC7myHQ00BoDGqaupZrFgA7JZlEI1Q6EnjXypNVtQwYu3I/yfXAB6tqYX9+AEmSJEmSJPXOWsOlJBOq6kHgzf3tuKpWJDkZuAYYBVxQVXcmORtYWFXzOqpYkiRJkiRJQ8a6Ri59E9ijqn6e5Mqq+qP+dF5VVwNX9zl25hra7tufviVJkiRJktR761pzKS3br+xmIZIkSZIkSRp+1hUu1Rq2JUmSJEmSpHVOi5uW5Nc0RjBt2tyG/7+g91ZdrU6SJEmSJElD2lrDpaoaNViFSJIkSZIkafhZ17Q4SZIkSZIkaY0MlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktSxroZLSQ5Kcm+SRUlOX835DyS5K8kdSf4tySu6WY8kSZIkSZIGVtfCpSSjgHOBg4HJwFFJJvdpdiswo6qmAlcAf9+teiRJkiRJkjTwujlyaW9gUVXdX1XPAZcAh7Y2qKrrquo3zd2bgfFdrEeSJEmSJEkDrJvh0g7AQy37S5rH1uQ44DtdrEeSJEmSJEkDbHSvCwBI8m5gBvCGNZw/ATgBYMKECYNYmSRJkiRJktammyOXHgZ2bNkf3zz2IkneCHwEOKSqnl1dR1U1p6pmVNWMcePGdaVYSZIkSZIk9V83w6UFwE5JJiXZBDgSmNfaIMl04HwawdIvu1iLJEmSJEmSuqBr4VJVrQBOBq4B7gYuq6o7k5yd5JBms08CWwCXJ7ktybw1dCdJkiRJkqQhqKtrLlXV1cDVfY6d2bL9xm7eX5IkSZIkSd3VzWlxkiRJkiRJGuEMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktSxroZLSQ5Kcm+SRUlOX835lyS5tHn+R0kmdrMeSZIkSZIkDayuhUtJRgHnAgcDk4Gjkkzu0+w44PGq+n3gH4C/61Y9kiRJkiRJGnjdHLm0N7Coqu6vqueAS4BD+7Q5FPhKc/sK4IAk6WJNkiRJkiRJGkDdDJd2AB5q2V/SPLbaNlW1AlgGvLSLNUmSJEmSJGkAje51Ae1IcgJwQnP32SQ/7WU90gZqLPCrXhchbYB89jR0jfwB5z5/Um+M7Gdv5P+3U8PXLp1e2M1w6WFgx5b98c1jq2uzJMloYGtgad+OqmoOMAcgycKqmtGViiWtkc+e1Bs+e1Lv+PxJveGzJ/VGkoWdXtvNaXELgJ2STEqyCXAkMK9Pm3nAsc3tdwLXVlV1sSZJkiRJkiQNoK6NXKqqFUlOBq4BRgEXVNWdSc4GFlbVPODLwMVJFgGP0QigJEmSJEmSNEx0dc2lqroauLrPsTNbtpcDh/ez2zkDUJqk/vPZk3rDZ0/qHZ8/qTd89qTe6PjZi7PQJEmSJEmS1KlurrkkSZIkSZKkEW7IhktJDkpyb5JFSU5fzfmXJLm0ef5HSSb2oExpxGnj2ftAkruS3JHk35K8ohd1SiPNup69lnZ/lKSS+BYdaQC08+wl+ePm7747k3x9sGuURqo2/u6ckOS6JLc2//b8w17UKY0kSS5I8sskP13D+ST5fPO5vCPJHu30OyTDpSSjgHOBg4HJwFFJJvdpdhzweFX9PvAPwN8NbpXSyNPms3crMKOqpgJXAH8/uFVKI0+bzx5JtgT+DPjR4FYojUztPHtJdgI+BPxBVe0G/Plg1ymNRG3+7jsDuKyqptN4+dMXBrdKaUS6CDhoLecPBnZqfp0AnNdOp0MyXAL2BhZV1f1V9RxwCXBonzaHAl9pbl8BHJAkg1ijNBKt89mrquuq6jfN3ZuB8YNcozQStfN7D+BjNP4xZflgFieNYO08e8cD51bV4wBV9ctBrlEaqdp5/grYqrm9NfCLQaxPGpGq6gbgsbU0ORSYWw03A9sk2X5d/Q7VcGkH4KGW/SXNY6ttU1UrgGXASwelOmnkaufZa3Uc8J2uViRtGNb57DWHJO9YVd8ezMKkEa6d33s7Azsn+WGSm5Os7V97JbWvnefvLODdSZbQeAv5KYNTmrRB6+//EwIwumvlSBrRkrwbmAG8ode1SCNdko2AzwCzelyKtCEaTWNqwL40RuvekGT3qnqil0VJG4ijgIuq6tNJXgtcnGRKVf2214VJerGhOnLpYWDHlv3xzWOrbZNkNI1hkksHpTpp5Grn2SPJG4GPAIdU1bODVJs0kq3r2dsSmAJcn2Qx8Bpgnot6S+utnd97S4B5VfV8VT0A/IxG2CRp/bTz/B0HXAZQVTcBY4Cxg1KdtOFq6/8J+xqq4dICYKckk5JsQmPxtnl92swDjm1uvxO4tqpqEGuURqJ1PntJpgPn0wiWXHdCGhhrffaqallVja2qiVU1kcZ6Z4dU1cLelCuNGO38zflNGqOWSDKWxjS5+wexRmmkauf5exA4ACDJrjTCpUcHtUppwzMP+JPmW+NeAyyrqkfWddGQnBZXVSuSnAxcA4wCLqiqO5OcDSysqnnAl2kMi1xEYzGqI3tXsTQytPnsfRLYAri8uYb+g1V1SM+KlkaANp89SQOszWfvGuBNSe4CXgBOrSpHy0vrqc3n7y+BLyX5CxqLe89yQIG0fpJ8g8Y/moxtrmf218DGAFX1RRrrm/0hsAj4DTC7rX59NiVJkiRJktSpoTotTpIkSZIkScOA4ZIkSZIkSZI6ZrgkSZIkSZKkjhkuSZIkSZIkqWOGS5IkSZIkSeqY4ZIkSRKQ5LAkleRVLcf2TnJDknuT3Jrkn5Js1jx3cJKFSe5qnvt0y3XbJ/lec3vnJFcnuS/Jfya5LMnLOqzx8CR3J7lufX9eSZKkgWK4JEmS1HAUcGPzO80A6HLgr6pql6qaDnwX2DLJFOAfgXdX1WRgBrCopa+DgGuSjAG+DZxXVTtV1R7AF4BxHdZ4HHB8Ve3X4fWSJEkDLlXV6xokSZJ6KskWwL3AfsC/VtUuSc4GqKozV9N+LnB9VV2whv4uBf4GeA2wb1X9yWrajAHOoxFMrQA+UFXXJZkFHAJsBvwecFVVnZbkTOA04GFgXlWdup4/tiRJ0oBw5JIkSRIcCny3qn4GLE2yJzAFuGUN7dd4LskoYJequmsdfbwPqKrancZoqa80AyeAVwNHALsDRyTZsarOBhYCRxssSZKkocRwSZIkqRHuXNLcvqS536l9gB+10e5/AV8FqKp7gJ8DOzfP/VtVLauq5cBdwCvWox5JkqSuGt3rAiRJknopyXbA/sDuSQoYBRTwFWBP4F9Wc9mdzXO3r+bcwTTWZlrZ7g0dlPVsy/YL+DebJEkawhy5JEmSNnTvBC6uqldU1cSq2hF4AJgPHJtkn5UNk7yjudD3J4EPJ9m5eXyjJCc2mx3QvBbg68DMJG9p6eP1zQXBfwAc3Ty2MzCBxrpPkiRJw4rhkiRJ2tAdBVzV59iVwJHNr08luTfJ3cCbgSer6g7gz4FvNI//FHhlknHA8qp6EqCqngHeCpyS5L4kdwEnAY/SeGvcRkl+AlwKzKqqZ5EkSRpmfFucJEnSAEnybmB8VX2i17VIkiQNFsMlSZIkSZIkdcxpcZIkSZIkSeqY4ZIkSZIkSZI6ZrgkSZIkSZKkjhkuSZIkSZIkqWOGS5IkSZIkSeqY4ZIkSZIkSZI6ZrgkSZIkSZKkjv0/jUOo79Z0d/oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UFePGjeOb3/zmGvvZZJNNuPTSSznllFN45pln2HTTTZk/f36/+xkoWZ9hW70wY8aMWrhwYa/LkCRJkqSeGOi3s2twXXddrysYuu6++2523XXXXpexQVjdZ53klqqa0Ul/TouTJEmSJElSx5wWJ0mSJEnDyGduc+jS8ObQJY08XR25lOSgJPcmWZTk9NWcn5DkuiS3JrkjyR92sx5JkiRJkiQNrK6FS0lGAecCBwOTgaOSTO7T7AzgsqqaDhwJfKFb9UiSJEmSpKFtuK0LPRx14zPu5silvYFFVXV/VT0HXAIc2qdNAVs1t7cGftHFeiRJkiRJ0hA1ZswYli5dasDURVXF0qVLGTNmzID22801l3YAHmrZXwLs06fNWcD3kpwCbA68sYv1SJIkSZKkIWr8+PEsWbKERx99tNeljGhjxoxh/PjxA9pnrxf0Pgq4qKo+neS1wMVJplTVb1sbJTkBOAFgwoQJPShTkiR1g6/THt58nbYkaSBtvPHGTJo0qddlqAPdnBb3MLBjy/745rFWxwGXAVTVTcAYYGzfjqpqTlXNqKoZ48aN61K5kiRJkiRJ6q9uhksLgJ2STEqyCY0Fu+f1afMgcABAkl1phEuOf5MkSZIkSRomuhYuVdUK4GTgGuBuGm+FuzPJ2UkOaTb7S+D4JLcD3wBmlSt3SZIkSZIkDRtdXXOpqq4Gru5z7MyW7buAP+hmDZIkSZIkSeqebk6LkyRJkiRJ0ghnuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOtRUuJdm924VIkiRJkiRp+Gl35NIXkvw4yUlJtu5qRZIkSZIkSRo22gqXqup1wNHAjsAtSb6e5MCuViZJkiRJkqQhr+01l6rqPuAM4K+ANwCfT3JPknd0qzhJkiRJkiQNbe2uuTQ1yT8AdwP7A2+rql2b2//QxfokSZIkSZI0hI1us905wD8BH66qZ1YerKpfJDmjK5VJkiRJkiRpyGs3XHoL8ExVvQCQZCNgTFX9pqou7lp1kiRJkiRJGtLaXXNpPrBpy/5mzWOSJEmSJEnagLUbLo2pqqdW7jS3N1vXRUkOSnJvkkVJTl9Dmz9OcleSO5N8vc16JEmSJEmSNAS0Oy3u6SR7VNV/AiTZE3hmbRckGQWcCxwILAEWJJlXVXe1tNkJ+BDwB1X1eJLf6eSHkCRJkiRJUm+0Gy79OXB5kl8AAX4XOGId1+wNLKqq+wGSXAIcCtzV0uZ44Nyqehygqn7ZfumSJEmSJEnqtbbCpapakORVwC7NQ/dW1fPruGwH4KGW/SXAPn3a7AyQ5IfAKOCsqvpuOzVJkiRJkiSp99oduQSwFzCxec0eSaiquQNw/52AfYHxwA1Jdq+qJ1obJTkBOAFgwoQJ63lLSZIkSZIkDZS2wqUkFwO/B9wGvNA8XMDawqWHgR1b9sc3j7VaAvyoOQrqgSQ/oxE2LWhtVFVzgDkAM2bMqHZqliRJkiRJUve1O3JpBjC5qvoT7CwAdkoyiUaodCTwrj5tvgkcBVyYZCyNaXL39+MekiRJkiRJ6qGN2mz3UxqLeLetqlYAJwPXAHcDl1XVnUnOTnJIs9k1wNIkdwHXAadW1dL+3EeSJEmSJEm90+7IpbHAXUl+DDy78mBVHbLmS6Cqrgau7nPszJbtAj7Q/JIkSZIkSdIw0264dFY3i5AkSZIkSdLw1Fa4VFX/nuQVwE5VNT/JZsCo7pYmSZIkSZKkoa6tNZeSHA9cAZzfPLQDjcW4JUmSJEmStAFrd1rc+4C9gR8BVNV9SX6na1VJkqQNwmdu26/XJWi9XNfrAiRJ0hDQ7tvinq2q51buJBkNVHdKkiRJkiRJ0nDRbrj070k+DGya5EDgcuBfu1eWJEmSJEmShoN2w6XTgUeBnwD/G7gaOKNbRUmSJEmSJGl4aPdtcb8FvtT8kiRJkiRJkoA2w6UkD7CaNZaq6pUDXpEkSZIkSZKGjXbfFjejZXsMcDiw3cCXI0mSJEmSpOGkrTWXqmppy9fDVfVZ4C3dLU2SJEmSJElDXbvT4vZo2d2Ixkimdkc9SZIkSZIkaYRqNyD6dMv2CmAx8McDXo0kSZIkSZKGlXbfFrdftwuRJEmSJEnS8NPutLgPrO18VX1mYMqRJEmSJEnScNKft8XtBcxr7r8N+DFwXzeKkiRJkiRJ0vDQbrg0Htijqp4ESHIW8O2qene3CpMkSZIkSdLQt1Gb7V4GPNey/1zzmCRJkiRJkjZg7Y5cmgv8OMlVzf3DgK90pSJJkiRJkiQNG+2+Le5vk3wHeF3z0OyqurV7ZUmSJEmSJGk4aHdaHMBmwK+r6nPAkiSTulSTJEmSJEmShom2wqUkfw38FfCh5qGNga92qyhJkiRJkiQND+2OXHo7cAjwNEBV/QLYcl0XJTkoyb1JFiU5fS3t/ihJJZnRZj2SJEmSJEkaAtoNl56rqgIKIMnm67ogySjgXOBgYDJwVJLJq2m3JfBnwI/aLVqSJEmSJElDQ7vh0mVJzge2SXI8MB/40jqu2RtYVFX3V9VzwCXAoatp9zHg74DlbdYiSZIkSZKkIWKdb4tLEuBS4FXAr4FdgDOr6vvruHQH4KGW/SXAPn363gPYsaq+neTU/hQuSZIkSZKk3ltnuFRVleTqqtodWFeg1LYkGwGfAWa10fYE4ASACRMmDFQJkiRJkiRJWk/tTov7zyR79bPvh4EdW/bHN4+ttCUwBbg+yWLgNcC81S3qXVVzqmpGVc0YN25cP8uQJEmSJElSt6xz5FLTPsC7myHQ00BoDGqaupZrFgA7JZlEI1Q6EnjXypNVtQwYu3I/yfXAB6tqYX9+AEmSJEmSJPXOWsOlJBOq6kHgzf3tuKpWJDkZuAYYBVxQVXcmORtYWFXzOqpYkiRJkiRJQ8a6Ri59E9ijqn6e5Mqq+qP+dF5VVwNX9zl25hra7tufviVJkiRJktR761pzKS3br+xmIZIkSZIkSRp+1hUu1Rq2JUmSJEmSpHVOi5uW5Nc0RjBt2tyG/7+g91ZdrU6SJEmSJElD2lrDpaoaNViFSJIkSZIkafhZ17Q4SZIkSZIkaY0MlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktSxroZLSQ5Kcm+SRUlOX835DyS5K8kdSf4tySu6WY8kSZIkSZIGVtfCpSSjgHOBg4HJwFFJJvdpdiswo6qmAlcAf9+teiRJkiRJkjTwujlyaW9gUVXdX1XPAZcAh7Y2qKrrquo3zd2bgfFdrEeSJEmSJEkDrJvh0g7AQy37S5rH1uQ44DtdrEeSJEmSJEkDbHSvCwBI8m5gBvCGNZw/ATgBYMKECYNYmSRJkiRJktammyOXHgZ2bNkf3zz2IkneCHwEOKSqnl1dR1U1p6pmVNWMcePGdaVYSZIkSZIk9V83w6UFwE5JJiXZBDgSmNfaIMl04HwawdIvu1iLJEmSJEmSuqBr4VJVrQBOBq4B7gYuq6o7k5yd5JBms08CWwCXJ7ktybw1dCdJkiRJkqQhqKtrLlXV1cDVfY6d2bL9xm7eX5IkSZIkSd3VzWlxkiRJkiRJGuEMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktSxroZLSQ5Kcm+SRUlOX835lyS5tHn+R0kmdrMeSZIkSZIkDayuhUtJRgHnAgcDk4Gjkkzu0+w44PGq+n3gH4C/61Y9kiRJkiRJGnjdHLm0N7Coqu6vqueAS4BD+7Q5FPhKc/sK4IAk6WJNkiRJkiRJGkDdDJd2AB5q2V/SPLbaNlW1AlgGvLSLNUmSJEmSJGkAje51Ae1IcgJwQnP32SQ/7WU90gZqLPCrXhchbYB89jR0jfwB5z5/Um+M7Gdv5P+3U8PXLp1e2M1w6WFgx5b98c1jq2uzJMloYGtgad+OqmoOMAcgycKqmtGViiWtkc+e1Bs+e1Lv+PxJveGzJ/VGkoWdXtvNaXELgJ2STEqyCXAkMK9Pm3nAsc3tdwLXVlV1sSZJkiRJkiQNoK6NXKqqFUlOBq4BRgEXVNWdSc4GFlbVPODLwMVJFgGP0QigJEmSJEmSNEx0dc2lqroauLrPsTNbtpcDh/ez2zkDUJqk/vPZk3rDZ0/qHZ8/qTd89qTe6PjZi7PQJEmSJEmS1KlurrkkSZIkSZKkEW7IhktJDkpyb5JFSU5fzfmXJLm0ef5HSSb2oExpxGnj2ftAkruS3JHk35K8ohd1SiPNup69lnZ/lKSS+BYdaQC08+wl+ePm7747k3x9sGuURqo2/u6ckOS6JLc2//b8w17UKY0kSS5I8sskP13D+ST5fPO5vCPJHu30OyTDpSSjgHOBg4HJwFFJJvdpdhzweFX9PvAPwN8NbpXSyNPms3crMKOqpgJXAH8/uFVKI0+bzx5JtgT+DPjR4FYojUztPHtJdgI+BPxBVe0G/Plg1ymNRG3+7jsDuKyqptN4+dMXBrdKaUS6CDhoLecPBnZqfp0AnNdOp0MyXAL2BhZV1f1V9RxwCXBonzaHAl9pbl8BHJAkg1ijNBKt89mrquuq6jfN3ZuB8YNcozQStfN7D+BjNP4xZflgFieNYO08e8cD51bV4wBV9ctBrlEaqdp5/grYqrm9NfCLQaxPGpGq6gbgsbU0ORSYWw03A9sk2X5d/Q7VcGkH4KGW/SXNY6ttU1UrgGXASwelOmnkaufZa3Uc8J2uViRtGNb57DWHJO9YVd8ezMKkEa6d33s7Azsn+WGSm5Os7V97JbWvnefvLODdSZbQeAv5KYNTmrRB6+//EwIwumvlSBrRkrwbmAG8ode1SCNdko2AzwCzelyKtCEaTWNqwL40RuvekGT3qnqil0VJG4ijgIuq6tNJXgtcnGRKVf2214VJerGhOnLpYWDHlv3xzWOrbZNkNI1hkksHpTpp5Grn2SPJG4GPAIdU1bODVJs0kq3r2dsSmAJcn2Qx8Bpgnot6S+utnd97S4B5VfV8VT0A/IxG2CRp/bTz/B0HXAZQVTcBY4Cxg1KdtOFq6/8J+xqq4dICYKckk5JsQmPxtnl92swDjm1uvxO4tqpqEGuURqJ1PntJpgPn0wiWXHdCGhhrffaqallVja2qiVU1kcZ6Z4dU1cLelCuNGO38zflNGqOWSDKWxjS5+wexRmmkauf5exA4ACDJrjTCpUcHtUppwzMP+JPmW+NeAyyrqkfWddGQnBZXVSuSnAxcA4wCLqiqO5OcDSysqnnAl2kMi1xEYzGqI3tXsTQytPnsfRLYAri8uYb+g1V1SM+KlkaANp89SQOszWfvGuBNSe4CXgBOrSpHy0vrqc3n7y+BLyX5CxqLe89yQIG0fpJ8g8Y/moxtrmf218DGAFX1RRrrm/0hsAj4DTC7rX59NiVJkiRJktSpoTotTpIkSZIkScOA4ZIkSZIkSZI6ZrgkSZIkSZKkjhkuSZIkSZIkqWOGS5IkSZIkSeqY4ZIkSRKQ5LAkleRVLcf2TnJDknuT3Jrkn5Js1jx3cJKFSe5qnvt0y3XbJ/lec3vnJFcnuS/Jfya5LMnLOqzx8CR3J7lufX9eSZKkgWK4JEmS1HAUcGPzO80A6HLgr6pql6qaDnwX2DLJFOAfgXdX1WRgBrCopa+DgGuSjAG+DZxXVTtV1R7AF4BxHdZ4HHB8Ve3X4fWSJEkDLlXV6xokSZJ6KskWwL3AfsC/VtUuSc4GqKozV9N+LnB9VV2whv4uBf4GeA2wb1X9yWrajAHOoxFMrQA+UFXXJZkFHAJsBvwecFVVnZbkTOA04GFgXlWdup4/tiRJ0oBw5JIkSRIcCny3qn4GLE2yJzAFuGUN7dd4LskoYJequmsdfbwPqKrancZoqa80AyeAVwNHALsDRyTZsarOBhYCRxssSZKkocRwSZIkqRHuXNLcvqS536l9gB+10e5/AV8FqKp7gJ8DOzfP/VtVLauq5cBdwCvWox5JkqSuGt3rAiRJknopyXbA/sDuSQoYBRTwFWBP4F9Wc9mdzXO3r+bcwTTWZlrZ7g0dlPVsy/YL+DebJEkawhy5JEmSNnTvBC6uqldU1cSq2hF4AJgPHJtkn5UNk7yjudD3J4EPJ9m5eXyjJCc2mx3QvBbg68DMJG9p6eP1zQXBfwAc3Ty2MzCBxrpPkiRJw4rhkiRJ2tAdBVzV59iVwJHNr08luTfJ3cCbgSer6g7gz4FvNI//FHhlknHA8qp6EqCqngHeCpyS5L4kdwEnAY/SeGvcRkl+AlwKzKqqZ5EkSRpmfFucJEnSAEnybmB8VX2i17VIkiQNFsMlSZIkSZIkdcxpcZIkSZIkSeqY4ZIkSZIkSZI6ZrgkSZIkSZKkjhkuSZIkSZIkqWOGS5IkSZIkSeqY4ZIkSZIkSZI6ZrgkSZIkSZKkjv0/jUOo79Z0d/oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UFePGjeOb3/zmGvvZZJNNuPTSSznllFN45pln2HTTTZk/f36/+xkoWZ9hW70wY8aMWrhwYa/LkCRJkqSeGOi3s2twXXddrysYuu6++2523XXXXpexQVjdZ53klqqa0Ul/TouTJEmSJElSx5wWJ0mSJEnDyGduc+jS8ObQJY08XR25lOSgJPcmWZTk9NWcn5DkuiS3JrkjyR92sx5JkiRJkiQNrK6FS0lGAecCBwOTgaOSTO7T7AzgsqqaDhwJfKFb9UiSJEmSpKFtuK0LPRx14zPu5silvYFFVXV/VT0HXAIc2qdNAVs1t7cGftHFeiRJkiRJ0hA1ZswYli5dasDURVXF0qVLGTNmzID22801l3YAHmrZXwLs06fNWcD3kpwCbA68sYv1SJIkSZKkIWr8+PEsWbKERx99tNeljGhjxoxh/PjxA9pnrxf0Pgq4qKo+neS1wMVJplTVb1sbJTkBOAFgwoQJPShTkiR1g6/THt58nbYkaSBtvPHGTJo0qddlqAPdnBb3MLBjy/745rFWxwGXAVTVTcAYYGzfjqpqTlXNqKoZ48aN61K5kiRJkiRJ6q9uhksLgJ2STEqyCY0Fu+f1afMgcABAkl1phEuOf5MkSZIkSRomuhYuVdUK4GTgGuBuGm+FuzPJ2UkOaTb7S+D4JLcD3wBmlSt3SZIkSZIkDRtdXXOpqq4Gru5z7MyW7buAP+hmDZIkSZIkSeqebk6LkyRJkiRJ0ghnuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOtRUuJdm924VIkiRJkiRp+Gl35NIXkvw4yUlJtu5qRZIkSZIkSRo22gqXqup1wNHAjsAtSb6e5MCuViZJkiRJkqQhr+01l6rqPuAM4K+ANwCfT3JPknd0qzhJkiRJkiQNbe2uuTQ1yT8AdwP7A2+rql2b2//QxfokSZIkSZI0hI1us905wD8BH66qZ1YerKpfJDmjK5VJkiRJkiRpyGs3XHoL8ExVvQCQZCNgTFX9pqou7lp1kiRJkiRJGtLaXXNpPrBpy/5mzWOSJEmSJEnagLUbLo2pqqdW7jS3N1vXRUkOSnJvkkVJTl9Dmz9OcleSO5N8vc16JEmSJEmSNAS0Oy3u6SR7VNV/AiTZE3hmbRckGQWcCxwILAEWJJlXVXe1tNkJ+BDwB1X1eJLf6eSHkCRJkiRJUm+0Gy79OXB5kl8AAX4XOGId1+wNLKqq+wGSXAIcCtzV0uZ44Nyqehygqn7ZfumSJEmSJEnqtbbCpapakORVwC7NQ/dW1fPruGwH4KGW/SXAPn3a7AyQ5IfAKOCsqvpuOzVJkiRJkiSp99oduQSwFzCxec0eSaiquQNw/52AfYHxwA1Jdq+qJ1obJTkBOAFgwoQJ63lLSZIkSZIkDZS2wqUkFwO/B9wGvNA8XMDawqWHgR1b9sc3j7VaAvyoOQrqgSQ/oxE2LWhtVFVzgDkAM2bMqHZqliRJkiRJUve1O3JpBjC5qvoT7CwAdkoyiUaodCTwrj5tvgkcBVyYZCyNaXL39+MekiRJkiRJ6qGN2mz3UxqLeLetqlYAJwPXAHcDl1XVnUnOTnJIs9k1wNIkdwHXAadW1dL+3EeSJEmSJEm90+7IpbHAXUl+DDy78mBVHbLmS6Cqrgau7nPszJbtAj7Q/JIkSZIkSdIw0264dFY3i5AkSZIkSdLw1Fa4VFX/nuQVwE5VNT/JZsCo7pYmSZIkSZKkoa6tNZeSHA9cAZzfPLQDjcW4JUmSJEmStAFrd1rc+4C9gR8BVNV9SX6na1VJkqQNwmdu26/XJWi9XNfrAiRJ0hDQ7tvinq2q51buJBkNVHdKkiRJkiRJ0nDRbrj070k+DGya5EDgcuBfu1eWJEmSJEmShoN2w6XTgUeBnwD/G7gaOKNbRUmSJEmSJGl4aPdtcb8FvtT8kiRJkiRJkoA2w6UkD7CaNZaq6pUDXpEkSZIkSZKGjXbfFjejZXsMcDiw3cCXI0mSJEmSpOGkrTWXqmppy9fDVfVZ4C3dLU2SJEmSJElDXbvT4vZo2d2Ixkimdkc9SZIkSZIkaYRqNyD6dMv2CmAx8McDXo0kSZIkSZKGlXbfFrdftwuRJEmSJEnS8NPutLgPrO18VX1mYMqRJEmSJEnScNKft8XtBcxr7r8N+DFwXzeKkiRJkiRJ0vDQbrg0Htijqp4ESHIW8O2qene3CpMkSZIkSdLQt1Gb7V4GPNey/1zzmCRJkiRJkjZg7Y5cmgv8OMlVzf3DgK90pSJJkiRJkiQNG+2+Le5vk3wHeF3z0OyqurV7ZUmSJEmSJGk4aHdaHMBmwK+r6nPAkiSTulSTJEmSJEmShom2wqUkfw38FfCh5qGNga92qyhJkiRJkiQND+2OXHo7cAjwNEBV/QLYcl0XJTkoyb1JFiU5fS3t/ihJJZnRZj2SJEmSJEkaAtoNl56rqgIKIMnm67ogySjgXOBgYDJwVJLJq2m3JfBnwI/aLVqSJEmSJElDQ7vh0mVJzge2SXI8MB/40jqu2RtYVFX3V9VzwCXAoatp9zHg74DlbdYiSZIkSZKkIWKdb4tLEuBS4FXAr4FdgDOr6vvruHQH4KGW/SXAPn363gPYsaq+neTU/hQuSZIkSZKk3ltnuFRVleTqqtodWFeg1LYkGwGfAWa10fYE4ASACRMmDFQJkiRJkiRJWk/tTov7zyR79bPvh4EdW/bHN4+ttCUwBbg+yWLgNcC81S3qXVVzqmpGVc0YN25cP8uQJEmSJElSt6xz5FLTPsC7myHQ00BoDGqaupZrFgA7JZlEI1Q6EnjXypNVtQwYu3I/yfXAB6tqYX9+AEmSJEmSJPXOWsOlJBOq6kHgzf3tuKpWJDkZuAYYBVxQVXcmORtYWFXzOqpYkiRJkiRJQ8a6Ri59E9ijqn6e5Mqq+qP+dF5VVwNX9zl25hra7tufviVJkiRJktR761pzKS3br+xmIZIkSZIkSRp+1hUu1Rq2JUmSJEmSpHVOi5uW5Nc0RjBt2tyG/7+g91ZdrU6SJEmSJElD2lrDpaoaNViFSJIkSZIkafhZ17Q4SZIkSZIkaY0MlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktSxroZLSQ5Kcm+SRUlOX835DyS5K8kdSf4tySu6WY8kSZIkSZIGVtfCpSSjgHOBg4HJwFFJJvdpdiswo6qmAlcAf9+teiRJkiRJkjTwujlyaW9gUVXdX1XPAZcAh7Y2qKrrquo3zd2bgfFdrEeSJEmSJEkDrJvh0g7AQy37S5rH1uQ44DtdrEeSJEmSJEkDbHSvCwBI8m5gBvCGNZw/ATgBYMKECYNYmSRJkiRJktammyOXHgZ2bNkf3zz2IkneCHwEOKSqnl1dR1U1p6pmVNWMcePGdaVYSZIkSZIk9V83w6UFwE5JJiXZBDgSmNfaIMl04HwawdIvu1iLJEmSJEmSuqBr4VJVrQBOBq4B7gYuq6o7k5yd5JBms08CWwCXJ7ktybw1dCdJkiRJkqQhqKtrLlXV1cDVfY6d2bL9xm7eX5IkSZIkSd3VzWlxkiRJkiRJGuEMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktSxroZLSQ5Kcm+SRUlOX835lyS5tHn+R0kmdrMeSZIkSZIkDayuhUtJRgHnAgcDk4Gjkkzu0+w44PGq+n3gH4C/61Y9kiRJkiRJGnjdHLm0N7Coqu6vqueAS4BD+7Q5FPhKc/sK4IAk6WJNkiRJkiRJGkDdDJd2AB5q2V/SPLbaNlW1AlgGvLSLNUmSJEmSJGkAje51Ae1IcgJwQnP32SQ/7WU90gZqLPCrXhchbYB89jR0jfwB5z5/Um+M7Gdv5P+3U8PXLp1e2M1w6WFgx5b98c1jq2uzJMloYGtgad+OqmoOMAcgycKqmtGViiWtkc+e1Bs+e1Lv+PxJveGzJ/VGkoWdXtvNaXELgJ2STEqyCXAkMK9Pm3nAsc3tdwLXVlV1sSZJkiRJkiQNoK6NXKqqFUlOBq4BRgEXVNWdSc4GFlbVPODLwMVJFgGP0QigJEmSJEmSNEx0dc2lqroauLrPsTNbtpcDh/ez2zkDUJqk/vPZk3rDZ0/qHZ8/qTd89qTe6PjZi7PQJEmSJEmS1KlurrkkSZIkSZKkEW7IhktJDkpyb5JFSU5fzfmXJLm0ef5HSSb2oExpxGnj2ftAkruS3JHk35K8ohd1SiPNup69lnZ/lKSS+BYdaQC08+wl+ePm7747k3x9sGuURqo2/u6ckOS6JLc2//b8w17UKY0kSS5I8sskP13D+ST5fPO5vCPJHu30OyTDpSSjgHOBg4HJwFFJJvdpdhzweFX9PvAPwN8NbpXSyNPms3crMKOqpgJXAH8/uFVKI0+bzx5JtgT+DPjR4FYojUztPHtJdgI+BPxBVe0G/Plg1ymNRG3+7jsDuKyqptN4+dMXBrdKaUS6CDhoLecPBnZqfp0AnNdOp0MyXAL2BhZV1f1V9RxwCXBonzaHAl9pbl8BHJAkg1ijNBKt89mrquuq6jfN3ZuB8YNcozQStfN7D+BjNP4xZflgFieNYO08e8cD51bV4wBV9ctBrlEaqdp5/grYqrm9NfCLQaxPGpGq6gbgsbU0ORSYWw03A9sk2X5d/Q7VcGkH4KGW/SXNY6ttU1UrgGXASwelOmnkaufZa3Uc8J2uViRtGNb57DWHJO9YVd8ezMKkEa6d33s7Azsn+WGSm5Os7V97JbWvnefvLODdSZbQeAv5KYNTmrRB6+//EwIwumvlSBrRkrwbmAG8ode1SCNdko2AzwCzelyKtCEaTWNqwL40RuvekGT3qnqil0VJG4ijgIuq6tNJXgtcnGRKVf2214VJerGhOnLpYWDHlv3xzWOrbZNkNI1hkksHpTpp5Grn2SPJG4GPAIdU1bODVJs0kq3r2dsSmAJcn2Qx8Bpgnot6S+utnd97S4B5VfV8VT0A/IxG2CRp/bTz/B0HXAZQVTcBY4Cxg1KdtOFq6/8J+xqq4dICYKckk5JsQmPxtnl92swDjm1uvxO4tqpqEGuURqJ1PntJpgPn0wiWXHdCGhhrffaqallVja2qiVU1kcZ6Z4dU1cLelCuNGO38zflNGqOWSDKWxjS5+wexRmmkauf5exA4ACDJrjTCpUcHtUppwzMP+JPmW+NeAyyrqkfWddGQnBZXVSuSnAxcA4wCLqiqO5OcDSysqnnAl2kMi1xEYzGqI3tXsTQytPnsfRLYAri8uYb+g1V1SM+KlkaANp89SQOszWfvGuBNSe4CXgBOrSpHy0vrqc3n7y+BLyX5CxqLe89yQIG0fpJ8g8Y/moxtrmf218DGAFX1RRrrm/0hsAj4DTC7rX59NiVJkiRJktSpoTotTpIkSZIkScOA4ZIkSZIkSZI6ZrgkSZIkSZKkjhkuSZIkSZIkqWOGS5IkSZIkSeqY4ZIkSRKQ5LAkleRVLcf2TnJDknuT3Jrkn5Js1jx3cJKFSe5qnvt0y3XbJ/lec3vnJFcnuS/Jfya5LMnLOqzx8CR3J7lufX9eSZKkgWK4JEmS1HAUcGPzO80A6HLgr6pql6qaDnwX2DLJFOAfgXdX1WRgBrCopa+DgGuSjAG+DZxXVTtV1R7AF4BxHdZ4HHB8Ve3X4fWSJEkDLlXV6xokSZJ6KskWwL3AfsC/VtUuSc4GqKozV9N+LnB9VV2whv4uBf4GeA2wb1X9yWrajAHOoxFMrQA+UFXXJZkFHAJsBvwecFVVnZbkTOA04GFgXlWdup4/tiRJ0oBw5JIkSRIcCny3qn4GLE2yJzAFuGUN7dd4LskoYJequmsdfbwPqKrancZoqa80AyeAVwNHALsDRyTZsarOBhYCRxssSZKkocRwSZIkqRHuXNLcvqS536l9gB+10e5/AV8FqKp7gJ8DOzfP/VtVLauq5cBdwCvWox5JkqSuGt3rAiRJknopyXbA/sDuSQoYBRTwFWBP4F9Wc9mdzXO3r+bcwTTWZlrZ7g0dlPVsy/YL+DebJEkawhy5JEmSNnTvBC6uqldU1cSq2hF4AJgPHJtkn5UNk7yjudD3J4EPJ9m5eXyjJCc2mx3QvBbg68DMJG9p6eP1zQXBfwAc3Ty2MzCBxrpPkiRJw4rhkiRJ2tAdBVzV59iVwJHNr08luTfJ3cCbgSer6g7gz4FvNI//FHhlknHA8qp6EqCqngHeCpyS5L4kdwEnAY/SeGvcRkl+AlwKzKqqZ5EkSRpmfFucJEnSAEnybmB8VX2i17VIkiQNFsMlSZIkSZIkdcxpcZIkSZIkSeqY4ZIkSZIkSZI6ZrgkSZIkSZKkjhkuSZIkSZIkqWOGS5IkSZIkSeqY4ZIkSZIkSZI6ZrgkSZIkSZKkjv0/jUOo79Z0d/oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "calibration_plot(jehmo_model, x_test, y_test, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.5278284, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.5278284, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0.5278284, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 1.0, 0, 0, 0, 0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "calibration_plot(jem_model, x_test, y_test, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.54911476, 0.6695188, 0.745687, 0.834543, 0]\n",
      "[0, 0, 0, 0, 0, 0.6666667, 0.0, 0.037037037, 0.5, 0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.54911476, 0.6695188, 0.745687, 0.834543, 0]\n",
      "[0, 0, 0, 0, 0, 0.6666667, 0.0, 0.037037037, 0.5, 0]\n",
      "[0, 0, 0, 0, 0, 0.54911476, 0.6695188, 0.745687, 0.834543, 0]\n",
      "[0, 0, 0, 0, 0, 0.6666667, 0.0, 0.037037037, 0.5, 0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "calibration_plot(jehmo_model, np.concatenate([x_test, ood_x], axis=0), np.concatenate([y_test, ood_y], axis=0), 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9947286]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.15254237]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9947286]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.15254237]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9947286]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0.15254237]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "calibration_plot(ann_model, np.concatenate([x_test, ood_x], axis=0), np.concatenate([y_test, ood_y], axis=0), 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.5517454, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0.16666667, 0, 0, 0, 0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n",
      "  from ipykernel import kernelapp as app\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: elementwise comparison failed; this will raise an error in the future.\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0.5517454, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0.16666667, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0.5517454, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0.16666667, 0, 0, 0, 0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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TOeecc5g5cyaf+MQnGDNmDBdeeGHH41944YW87W1vI8mKNZUA3v72t7NgwQL23ntvqooxY8asWNdpZTbaaCMuu+wy3v3ud/PUU0+xySabcN111631OP0l6zJtqxemTJlSc+fO7XUZkiSpP/T3K4Y1sAbwlc6SpOHvrrvuYrfddut1GeuFlf2sk9xaVVM6Gc/H4iRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJg8JQWxd6KOrGz9hwSZIkSZIk9dyoUaNYvHixAVMXVRWLFy9m1KhR/TruyH4dTZIkSZIkqQNjx45l4cKFLFq0qNelDGujRo1i7Nix/Tqm4ZIkSZIkSeq5DTfckPHjx/e6DHXAx+IkSZIkSZLUMcMlSZIkSZIkdcxwSZIkSZIkSR0zXJIkSZIkSVLHDJckSZIkSZLUMcMlSZIkSZIkdcxwSZIkSZIkSR3rariU5NAk9ySZn+T01fR7U5JKMqWb9UiSJEmSJKl/dS1cSjICOBc4DJgAvDnJhJX02wL4W+Cn3apFkiRJkiRJ3dHNmUtTgflVdV9VPQNcChy+kn4fAf4ZWNrFWiRJkiRJktQF3QyXtgceaNlf2GxbIcnewA5V9Z3VDZTkxCRzk8xdtGhR/1cqSZIkSZKkjvRsQe8kGwCfBv5hTX2ralZVTamqKWPGjOl+cZIkSZIkSWpLN8OlB4EdWvbHNtuW2wLYA7ghyQLgZcBsF/WWJEmSJEkaOroZLs0Bdk4yPslGwDHA7OUHq+rRqhpdVeOqahxwCzC9quZ2sSZJkiRJkiT1o66FS1W1DDgZuBa4C7i8quYlOTvJ9G5dV5IkSZIkSQNnZDcHr6prgGv6tJ25ir4HdLMWSZIkSZIk9b+eLegtSZIkSZKkoc9wSZIkSZIkSR1rK1xKsme3C5EkSZIkSdLQ0+7Mpc8n+VmSdybZsqsVSZIkSZIkachoK1yqqlcCxwI7ALcmuSTJIV2tTJIkSZIkSYNe22suVdW9wBnA+4D9gc8muTvJG7tVnCRJkiRJkga3dtdcmpjkM8BdwEHA66tqt+b2Z7pYnyRJkiRJkgaxkW32Owf4EvCBqnpqeWNV/S7JGV2pTJIkSZIkSYNeu+HSa4Gnquo5gCQbAKOq6g9VdXHXqpMkSZIkSdKg1u6aS9cBm7Tsb9pskyRJkiRJ0nqs3XBpVFU9sXynub1pd0qSJEmSJEnSUNFuuPRkkr2X7yTZB3hqNf0lSZIkSZK0Hmh3zaW/A65I8jsgwJ8CR3erKEmSJEmSJA0NbYVLVTUnyUuAXZtN91TVs90rS5IkSZIkSUNBuzOXAPYFxjXP2TsJVXVRV6qSJEmSJEnSkNBWuJTkYuDPgNuB55rNBRguSZIkSZIkrcfanbk0BZhQVdXNYiRJkiRJkjS0tPu2uF/RWMRbkiRJkiRJWqHdmUujgTuT/Ax4enljVU3vSlWSJEmSJEkaEtoNl87qZPAkhwL/CowAvlRVH+tz/CTgXTTWcXoCOLGq7uzkWpIkSZIkSRp4bT0WV1X/ASwANmxuzwF+vrpzkowAzgUOAyYAb04yoU+3S6pqz6raC/g48Om1ql6SJEmSJEk91Va4lOQdwJXA+c2m7YFvreG0qcD8qrqvqp4BLgUOb+1QVY+17G5G4w10kiRJkiRJGiLaXdD7XcArgMcAqupe4E/WcM72wAMt+wubbc+T5F1J/pPGzKVTVjZQkhOTzE0yd9GiRW2WLEmSJEmSpG5rN1x6ujn7CIAkI+mnWUZVdW5V/RnwPuCMVfSZVVVTqmrKmDFj+uOykiRJkiRJ6gfthkv/keQDwCZJDgGuAL69hnMeBHZo2R/bbFuVS4Ej2qxHkiRJkiRJg0C74dLpwCLgl8D/Aa5hFbOMWswBdk4yPslGwDHA7NYOSXZu2X0tcG+b9UiSJEmSJGkQGNlOp6r6I/DF5qctVbUsycnAtcAI4IKqmpfkbGBuVc0GTk7yKuBZ4GHg+LX9ApIkSZIkSeqdtsKlJL9hJWssVdVOqzuvqq6hMcupte3Mlu2/ba9MSZIkSZIkDUZthUvAlJbtUcBRwDb9X44kSZIkSZKGkrbWXKqqxS2fB6vqX2iskSRJkiRJkqT1WLuPxe3dsrsBjZlM7c56kiRJkiRJ0jDVbkD0qZbtZcAC4K/6vRpJkiRJkiQNKe2+Le7AbhciSZIkSZKkoafdx+Les7rjVfXp/ilHkiRJkiRJQ8navC1uX2B2c//1wM+Ae7tRlCRJkiRJkoaGdsOlscDeVfU4QJKzgO9U1Vu7VZgkSZIkSZIGvw3a7Pci4JmW/WeabZIkSZIkSVqPtTtz6SLgZ0mubu4fAXy1KxVJkiRJkiRpyGj3bXH/lOS7wCubTTOr6rbulSVJkiRJkqShoN3H4gA2BR6rqn8FFiYZ36WaJEmSJEmSNES0FS4l+TDwPuD9zaYNga91qyhJkiRJkiQNDe3OXHoDMB14EqCqfgds0a2iJEmSJEmSNDS0Gy49U1UFFECSzbpXkiRJkiRJkoaKdsOly5OcD2yV5B3AdcAXu1eWJEmSJEmShoI1vi0uSYDLgJcAjwG7AmdW1Q+6XJskSZIkSZIGuTWGS1VVSa6pqj0BAyVJkiRJkiSt0O5jcT9Psm9XK5EkSZIkSdKQ02649FLgliT/meSOJL9McseaTkpyaJJ7ksxPcvpKjr8nyZ3NMf89yYvX9gtIkiRJkiSpd1b7WFySHavqfuA1aztwkhHAucAhwEJgTpLZVXVnS7fbgClV9YckfwN8HDh6ba8lSZIkSZKk3ljTzKVvAVTVb4FPV9VvWz9rOHcqML+q7quqZ4BLgcNbO1TV9VX1h+buLcDYtf4GkiRJkiRJ6pk1hUtp2d5pLcfeHnigZX9hs21VTgC+u5bXkCRJkiRJUg+t6W1xtYrtfpXkrcAUYP9VHD8ROBFgxx137FYZkiRJkiRJWktrCpcmJXmMxgymTZrbNPerql6wmnMfBHZo2R/bbHueJK8CPgjsX1VPr2ygqpoFzAKYMmVK10IuSZIkSZIkrZ3VhktVNWIdxp4D7JxkPI1Q6RjgLa0dkkwGzgcOrar/WYdrSZIkSZIkqQfWtOZSx6pqGXAycC1wF3B5Vc1LcnaS6c1unwA2B65IcnuS2d2qR5IkSZIkSf1vTY/FrZOquga4pk/bmS3br+rm9SVJkiRJktRdXZu5JEmSJEmSpOHPcEmSJEmSJEkdM1ySJEmSJElSxwyXJEmSJEmS1LGuLugtSZK0Orfd3usKtC4m97oASZI0KDhzSZIkSZIkSR0zXJIkSZIkSVLHDJckSZIkSZLUMcMlSZIkSZIkdcxwSZIkSZIkSR0zXJIkSZIkSVLHDJckSZIkSZLUMcMlSZIkSZIkdcxwSZIkSZIkSR0zXJIkSZIkSVLHDJckSZIkSZLUMcMlSZIkSZIkdcxwSZIkSZIkSR0zXJIkSZIkSVLHuhouJTk0yT1J5ic5fSXH90vy8yTLkhzZzVokSZIkSZLU/7oWLiUZAZwLHAZMAN6cZEKfbvcDM4BLulWHJEmSJEmSumdkF8eeCsyvqvsAklwKHA7cubxDVS1oHvtjF+uQJEmSJElSl3TzsbjtgQda9hc22yRJkiRJkjRMDIkFvZOcmGRukrmLFi3qdTmSJEmSJElq6ma49CCwQ8v+2GbbWquqWVU1paqmjBkzpl+KkyRJkiRJ0rrrZrg0B9g5yfgkGwHHALO7eD1JkiRJkiQNsK6FS1W1DDgZuBa4C7i8quYlOTvJdIAk+yZZCBwFnJ9kXrfqkSRJkiRJUv/r5tviqKprgGv6tJ3Zsj2HxuNykiRJkiRJGoKGxILekiRJkiRJGpwMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1zHBJkiRJkiRJHTNckiRJkiRJUscMlyRJkiRJktQxwyVJkiRJkiR1rKvhUpJDk9yTZH6S01dyfOMklzWP/zTJuG7WI0mSJEmSpP7VtXApyQjgXOAwYALw5iQT+nQ7AXi4qv4c+Azwz92qR5IkSZIkSf2vmzOXpgLzq+q+qnoGuBQ4vE+fw4GvNrevBA5Oki7WJEmSJEmSpH7UzXBpe+CBlv2FzbaV9qmqZcCjwAu7WJMkSZIkSZL60cheF9COJCcCJzZ3n07yq17WI62nRgO/73UR0nrIe0+D1/CfcO79J/WG957UG7t2emI3w6UHgR1a9sc221bWZ2GSkcCWwOK+A1XVLGAWQJK5VTWlKxVLWiXvPak3vPek3vH+k3rDe0/qjSRzOz23m4/FzQF2TjI+yUbAMcDsPn1mA8c3t48EflhV1cWaJEmSJEmS1I+6NnOpqpYlORm4FhgBXFBV85KcDcytqtnAl4GLk8wHltAIoCRJkiRJkjREdHXNpaq6BrimT9uZLdtLgaPWcthZ/VCapLXnvSf1hvee1Dvef1JveO9JvdHxvRefQpMkSZIkSVKnurnmkiRJkiRJkoa5QRsuJTk0yT1J5ic5fSXHN05yWfP4T5OM60GZ0rDTxr33niR3Jrkjyb8neXEv6pSGmzXdey393pSkkvgWHakftHPvJfmr5u++eUkuGegapeGqjb937pjk+iS3Nf/u+Ze9qFMaTpJckOR/kvxqFceT5LPN+/KOJHu3M+6gDJeSjADOBQ4DJgBvTjKhT7cTgIer6s+BzwD/PLBVSsNPm/febcCUqpoIXAl8fGCrlIafNu89kmwB/C3w04GtUBqe2rn3kuwMvB94RVXtDvzdQNcpDUdt/u47A7i8qibTePnT5we2SmlY+gpw6GqOHwbs3PycCHyhnUEHZbgETAXmV9V9VfUMcClweJ8+hwNfbW5fCRycJANYozQcrfHeq6rrq+oPzd1bgLEDXKM0HLXzew/gIzT+M2XpQBYnDWPt3HvvAM6tqocBqup/BrhGabhq5/4r4AXN7S2B3w1gfdKwVFU3AktW0+Vw4KJquAXYKsm2axp3sIZL2wMPtOwvbLattE9VLQMeBV44INVJw1c7916rE4DvdrUiaf2wxnuvOSV5h6r6zkAWJg1z7fze2wXYJcmPk9ySZHX/2yupfe3cf2cBb02ykMZbyN89MKVJ67W1/TchACO7Vo6kYS3JW4EpwP69rkUa7pJsAHwamNHjUqT10UgajwYcQGO27o1J9qyqR3pZlLSeeDPwlar6VJKXAxcn2aOq/tjrwiQ932CdufQgsEPL/thm20r7JBlJY5rk4gGpThq+2rn3SPIq4IPA9Kp6eoBqk4azNd17WwB7ADckWQC8DJjtot7SOmvn995CYHZVPVtVvwF+TSNskrRu2rn/TgAuB6iqm4FRwOgBqU5af7X1b8K+Bmu4NAfYOcn4JBvRWLxtdp8+s4Hjm9tHAj+sqhrAGqXhaI33XpLJwPk0giXXnZD6x2rvvap6tKpGV9W4qhpHY72z6VU1tzflSsNGO3/n/BaNWUskGU3jMbn7BrBGabhq5/67HzgYIMluNMKlRQNapbT+mQ38dfOtcS8DHq2qh9Z00qB8LK6qliU5GbgWGAFcUFXzkpwNzK2q2cCXaUyLnE9jMapjelexNDy0ee99AtgcuKK5hv79VTW9Z0VLw0Cb956kftbmvXct8OokdwLPAadWlbPlpXXU5v33D8AXk/w9jcW9ZzihQFo3Sb5B4z9NRjfXM/swsCFAVZ1HY32zvwTmA38AZrY1rvemJEmSJEmSOjVYH4uTJEmSJEnSEGC4JEmSJEmSpI4ZLkmSJEmSJKljhkuSJEmSJEnqmOGSJEmSJEmSOma4JEmSBCQ5IkkleUlL29QkNya5J8ltSb6UZNPmscOSzE1yZ/PYp1rO2zbJ95vbuyS5Jsm9SX6e5PIkL+qwxqOS3JXk+nX9vpIkSf3FcEmSJKnhzcBNzT9pBkBXAO+rql2rajLwPWCLJHsAnwPeWlUTgCnA/JaxDgWuTTIK+A7wharauar2Bj4PjOmwxhOAd1TVgR2eL0mS1O9SVb2uQZIkqaeSbA7cAxwIfLuqdk1yNkBVnbmS/hcBN1TVBasY7zLgH4GXAQdU1V+vpM8o4As0gqllwHuq6vokM4DpwKbAnwFXV9VpSc4ETgMeBGZX1anr+LUlSZL6hTOXJEmS4HDge1X1a2Bxkn2APYBbV9F/lceSjAB2rao71zDGu4Cqqj1pzJb6ajNwAtgLOBrYEzg6yQ5VdTYwFzjWYEmSJA0mhkuSJEmNcOfS5valzf1OvRT4aRv9/gL4GkBV3Q38Ftileezfq+rRqloK3Am8eB3qkSRJ6qqRvS5AkiSpl5JsAxwE7JmkgBFAAV8F9gH+bSWnzWse+8VKjh1GY22m5f3276Csp1u2n8O/s0mSpEHMmUuSJGl9dyRwcVW9uKrGVdUOwG+A64Djk7x0ecckb2wu9P0J4ANJdmm2b5DkpGa3g5vnAlwCTEvy2pYx9msuCP4j4Nhm2y7AjjTWfZIkSRpSDJckSdL67s3A1X3argKOaX4+meSeJHcBrwEer6o7gL8DvtFs/xWwU5IxwNKqehygqp4CXge8O8m9Se4E3gksovHWuA2S/BK4DJhRVU8jSZI0xPi2OEmSpH6S5K3A2Kr6WK9rkSRJGiiGS5IkSZIkSeqYj8VJkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjpmuCRJkiRJkqSOGS5JkiRJkiSpY4ZLkiRJkiRJ6pjhkiRJkiRJkjr2/wFUXbAdc860dQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "calibration_plot(jem_model, np.concatenate([x_test, ood_x], axis=0), np.concatenate([y_test, ood_y], axis=0), 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1/1 [==============================] - 1s 1s/step - loss: 0.0834 - ece_metrics: 0.0675 - oe_metrics: 0.0000e+00 - accuracy: 1.0000 - auc_of_ood: 0.0000e+00\n",
      "1/1 [==============================] - 1s 1s/step - loss: 0.0834 - ece_metrics: 0.0675 - oe_metrics: 0.0000e+00 - accuracy: 1.0000 - auc_of_ood: 0.0000e+00\n",
      "1/1 [==============================] - 1s 1s/step - loss: 0.0834 - ece_metrics: 0.0675 - oe_metrics: 0.0000e+00 - accuracy: 1.0000 - auc_of_ood: 0.0000e+00\n"
     ]
    }
   ],
   "source": [
    "loss = ann_model.evaluate(x_test, y_test, return_dict=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'loss': 0.08342281728982925,\n",
       " 'ece_metrics': 0.06745120137929916,\n",
       " 'oe_metrics': 0.0,\n",
       " 'accuracy': 1.0,\n",
       " 'auc_of_ood': 0.0}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "{'loss': 0.08342281728982925,\n",
       " 'ece_metrics': 0.06745120137929916,\n",
       " 'oe_metrics': 0.0,\n",
       " 'accuracy': 1.0,\n",
       " 'auc_of_ood': 0.0}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "{'loss': 0.08342281728982925,\n",
       " 'ece_metrics': 0.06745120137929916,\n",
       " 'oe_metrics': 0.0,\n",
       " 'accuracy': 1.0,\n",
       " 'auc_of_ood': 0.0}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import umap\n",
    "\n",
    "#reduce = umap.UMAP()\n",
    "#z = reduce.fit_transform(np.concatenate([x_train, ood_x], axis=0))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "#import umap\n",
    "ood_reduce = umap.UMAP()\n",
    "ood_z = ood_reduce.fit_transform(np.concatenate([x_train, ood_x, xgo.numpy()], axis=0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
      "  FutureWarning\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
      "  FutureWarning\n",
      "/Users/JJ/venv/tf/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
      "  FutureWarning\n"
     ]
    },
    {
     "ename": "RuntimeError",
     "evalue": "No mappable was found to use for colorbar creation. First define a mappable such as an image (with imshow) or a contour set (with contourf).",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m----------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mRuntimeError\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-31-2cfe3e354bd1>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0msns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatterplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mood_z\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstyle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmarkers\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Reds'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolorbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      8\u001b[0m \u001b[0;31m#plt.show()\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/venv/tf/lib/python3.7/site-packages/matplotlib/pyplot.py\u001b[0m in \u001b[0;36mcolorbar\u001b[0;34m(mappable, cax, ax, **kw)\u001b[0m\n\u001b[1;32m   2186\u001b[0m         \u001b[0mmappable\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgci\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2187\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mmappable\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2188\u001b[0;31m             raise RuntimeError('No mappable was found to use for colorbar '\n\u001b[0m\u001b[1;32m   2189\u001b[0m                                \u001b[0;34m'creation. First define a mappable such as '\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2190\u001b[0m                                \u001b[0;34m'an image (with imshow) or a contour set ('\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mRuntimeError\u001b[0m: No mappable was found to use for colorbar creation. First define a mappable such as an image (with imshow) or a contour set (with contourf)."
     ]
    },
    {
     "ename": "RuntimeError",
     "evalue": "No mappable was found to use for colorbar creation. First define a mappable such as an image (with imshow) or a contour set (with contourf).",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m----------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mRuntimeError\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-31-2cfe3e354bd1>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0msns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatterplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mood_z\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstyle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmarkers\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Reds'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolorbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      8\u001b[0m \u001b[0;31m#plt.show()\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/venv/tf/lib/python3.7/site-packages/matplotlib/pyplot.py\u001b[0m in \u001b[0;36mcolorbar\u001b[0;34m(mappable, cax, ax, **kw)\u001b[0m\n\u001b[1;32m   2186\u001b[0m         \u001b[0mmappable\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgci\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2187\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mmappable\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2188\u001b[0;31m             raise RuntimeError('No mappable was found to use for colorbar '\n\u001b[0m\u001b[1;32m   2189\u001b[0m                                \u001b[0;34m'creation. First define a mappable such as '\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2190\u001b[0m                                \u001b[0;34m'an image (with imshow) or a contour set ('\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mRuntimeError\u001b[0m: No mappable was found to use for colorbar creation. First define a mappable such as an image (with imshow) or a contour set (with contourf)."
     ]
    },
    {
     "ename": "RuntimeError",
     "evalue": "No mappable was found to use for colorbar creation. First define a mappable such as an image (with imshow) or a contour set (with contourf).",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m----------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mRuntimeError\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-31-2cfe3e354bd1>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0msns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscatterplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mood_z\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstyle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmarkers\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Reds'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolorbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      8\u001b[0m \u001b[0;31m#plt.show()\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/venv/tf/lib/python3.7/site-packages/matplotlib/pyplot.py\u001b[0m in \u001b[0;36mcolorbar\u001b[0;34m(mappable, cax, ax, **kw)\u001b[0m\n\u001b[1;32m   2186\u001b[0m         \u001b[0mmappable\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgci\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2187\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mmappable\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2188\u001b[0;31m             raise RuntimeError('No mappable was found to use for colorbar '\n\u001b[0m\u001b[1;32m   2189\u001b[0m                                \u001b[0;34m'creation. First define a mappable such as '\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2190\u001b[0m                                \u001b[0;34m'an image (with imshow) or a contour set ('\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mRuntimeError\u001b[0m: No mappable was found to use for colorbar creation. First define a mappable such as an image (with imshow) or a contour set (with contourf)."
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uIbZiBW3vvk9k7BjqN5pBqLaW7X74Pebf92BvpYc1RSdOYNvvfCvndoWR5AsGadz6E+xx1eV8dO//4Y4dw5Z//B2R8ePxV1URHj9uvZ5rDHR9NH/AMW4qhZsY3UN9IiIiIqNJ4XelTCpF+/sfcO+Jp9I89+3e9siYJvb73W+YduC+HPX4f3jhvJ/xwd3/wk0m8YVCzPjU0cw678dE1jN0rg9fMEhk3Fg2OeXzZHpi4HMIDPMqY2u9EN+9YGHOMcZxcILBYb2PiIiISCGZfJ7gnzVrlp09e3be3m9ddC1azF922I1EjooNx9zzD6YdsB+prm4y8ThuKokTCOCPRAhUV+d5tiPPTad544qrmXPeT3OOmXrYIexx1eU59ySLiIiIFAtjzBxr7ay128t25benrZ1kT0/WvmA0SrR+dYBLx+PM+cOVOYMvwGPfP5fjH9qW6JgmqCmusJuOxXATCZxQCP8gB/PWtuqbH8fvZ+ZJn+W9W2+j7a23+40LNTSw0y8vVvAVERGRkla24TfZ08MPJm+ate+XC9/uDb/xtnZSXV1s9pnj2fTTn+ozLt3dzT8/eSQALW+9TSaRGN1Jr6NEayuxxUt464qr6fn4Y6qmTmXTs75EZOJEQg31A7423txM9wcf8cE//olNZ9jgyMNp2GZrPnnv3bz2uz8w7y83k+roxAkEmHbUEexwwblEJ07IzycmIiIiMkrKNvwOVbqnh2s32Tpr30lP/rfP7931vDFtNCRa23j5got4/89/7dP+/s23svHpp7DNeT8mWF+f9bWxpUt57PjP0vrq671t795wE1XTprLfvXex/U9+xCe++XVsOo3x+/CFIwSLbLVbREREZH2o1NkQBWtqCKzjloLRYl2Xhfc/0C/4rvLuDX9m4QMPZb2RLdHcwhMnntIn+K7S/dF8/nvoUaS7u4mMHUN04gQiY8cq+IqIiEjZUPgdoi1O+gz4iuOPK9HSwhu/uWzAMW/89nckmpv7tceXLaM5x0UWAD0fL6DlpZeHO0URERGRolQcaa7ITdlzd7Y46QSWv5z9OuJ8sxmXrvc/GHBM57x3sZn+1y0vevg/gz5//l13F9UWDxEREZGRUvF7fgfiD4U4/JYbCdXVce+nP8cWp5zEtP33LfS0MI7xbqUYqEydMRhjsr14CG+Q5XUiIiIiZaBsw28wGuWXC/uX7FrVNxROIMCc3/yud8U30tg4YvMbDhMIMGGfvVnyv0dzjpl4wH5ZL6SYfPBBvHzuBQM+f/qnj8Pxr/7SSLa146ZTYMEXDhGoqVnfqYuIiIgUVNmG32h9XZ9avm4mQ09LC5lEkmRXF24qSbSxEX80ypfefR03kyG2fEWfZ/QsXbp6q4MxbHTMkfn8FHIK1dez7YXn8+DeT2AzmX79xu9n25+eR7C+f03eUFMjY3ffleVPPZP12dUbzqB+yy0BSHV20vne+7z+81+x7PEnMY7DxE8eyFY/+h7RyZPxD/NWOREREZF8K9vwu6ZYaxtz73uA//z0F7R88BEA9VM3YP+ffI8tjz6c6kkTibe08tSPzufdO+/J+oytzjiFQFXxhL2aDWew713/5Okvfpn40mW97ZEJ49n1uqupnj4t6+tCjY3scdP1PPH501jx7HN9+mo325R97/g74TFNpLq6WHjvfTx/1tf7jFlw979YeO997PmPWxm76874wuGR/+RERERERknZX28c7+jkqcuv5uELLs7av8/3v8Xe3/kmkfo64i2tvPCr3/L69X8mHYsBEKipZtuzv8y2X/0S4YaGfE59UJlUilR7O13vf0j3xx9TNXUDqmdMJ1BXhy8QGPC1ieYW4suXM/+ef2PTaSYf8kmqpk4lPKYJ8GoB37vV9tgcB98CtTUcMudZwmPGjPjnJSIiIjJcua43Lvvw27F4Cb+csSVulu0BAMYYfvD+69RNmQxAqqeHVHc3nR8vxBhDzQaTCVRV449U1grn21dczSs/OX/AMbvdfBNTDjskTzMSERERGbpc4bfsS529dsc9OYMvgLWWF2/+e+/vA9Eo0bFjGb/9tozbbhsiY8ZUXPB1UynaXut/Ccba2t94Mw+zERERERk5Zb/nt23+xyMyplwkVjQTW7KE5hdm46+uZtyee+CPRgjU1vaOMX4/0cmTBn3WUMaIiIiIFJOyD7+TtvnE4GO22zoPMyksay09H3/ME5/5PB1z3+ptNz4fG59xKlv84LuEVu5pNsaw4cmfY+6lv8/5PCcQYOKB+4/6vEVERERGUtlve5h54H4EBijJ5QsG2eLIw3L2J9ra6Fm0mOXPv0Db3LeIr1hRkrefJZtbeOTgI/oEXwCbyTDv2ut563eXk+7u7m0P1NWx8Zln5HzeJ877MT6VOhMREZESU/bhN1RTzWdvvh7j9P9UjTF8+qarCVVXZ31tz+LFPH36l7h7y215+KDDuG/XvXhg7wNYeP+DJDs6RnvqI8a6LosefIjY4iU5x8y75k+ke3p6fx+sr2OrH3yP7X/zSyKTJva2V284g11uuJYZnzuRQI4/NxEREZFiVfbVHgASXd20zZ/PQ+f/nLcfeBisZeaB+3HQT39M44xphLLcWBZf0cyD+3+S7o/mZ33mnrf8mckHH4Tj84329Ict0drG0yefzvInnxpw3F53/p0J++7Tp81Np0m2teEmEoDBCQUJNTZm/WZCREREpFjkqvZQ9nt+AULVVYzfYnOO+9MVZBIJwNvuEMlyAxp4t8HNv/tfOYMvwJwf/JixO+1IeGwJ1Lm1LjadIlBbi5tOk1ljhXdNbjLVr83x+1XLV0RERMpGRYTfVSJ1tYMPApKtrbz3l78OOKbn4wVgXeJLsm8l8EUiBOqyh+t8cwJBdrrqj/R8vAAnFMS6Lu/f9Bc++scdsGrl3xjqt9qisBMVERERGWUVFX6HzLWkOroGH5ZI8MT2O2ft2/u1F4si/CaaW3jzkt/ywV9vIbPy1rrwxAls9s2vM2H//Xj+y1/Fui4TDzoQf1VVgWcrIiIiMrq0cTMLJxymYZASacZxME5x7/dNtLTwzBln8u61f+oNvgDxxUt4+fs/oufjBcz8ypk0bLM1O15+GcH6+sJNVkRERCQPKir8Jjs7iS1bTs+y5aS6s+97BQjW1rDlt7854LMmHfxJjDEjPMOR1fX+Byx/7Imc/XN/+zs2OetL7HXH30tj77KIiIjIMFVE+E11ddE6920eP/ub/HPH3blzl7159ofn0jn/Y9LxeNbXVE+byjbn/ihrX83GG7HTZZeAU7zhNx2LMe+aPw04JtPTQ9trbxBqaszTrEREREQKq+z3/Ka6u5n/wEM8cvqXVx/uAt668S/Mu/XvHHrvnYzdYTvIZEh1dWMch2BDPcG6OmZ+4TQmffJA3rj097S9/gaB2lpmnn4Kkz55IOGmppyH3YqBTaVItbUNOi7Z0jL6kxEREREpEuUffju7+N8Xz+4TfFfJJBIsefIpqiaM4+2r/8SK557HH42w0ec/x8QD9yPc1ESwro6df38pmXgcHOPVuC3y7Q7gVZuo32ZrlvznkQHH1W2xeZ5mJCIiIlJ4ZR1+rbXM+/vt2BzXEW/7nW9RNaaJe7ffBeu6ve3LnnqG6unTOeD+e4hOnEigpppATf/bzHyRCHu/9mLWZ/sikZH5JNaTEwiw0akn89alv88a/AGqZkwnOnkSAIn2djI9sazjfNEIoSKoXCEiIiIyXGUdfjOJJM2vvJq1L9TYwIwjDuXhAw7uE3xX6frwQ57+4lfY8y83EGrMvic2UFdXFOXMcgnU17HjH3/PC1/9Rr8AHKirY4+//ZXgys8t0xPjH5tlr3Dx6bdegyL+PEVERESGqqzDrxPwExk3Nmvfxicczwd/+3vW4LvKsiefJtXVlTP8FrtAdTWTjziUhu23Ze5vLmPFs8/hBINM/dQxbHTGaYTGNOmaYhEREako5R1+fT42P+M0Xr/imn599TM3YsE/bh/0Ge1vvU311KmjMb1hc1MpUu3tNM9+kRVPPU2woYENPnUMgdpagg31AARqaqjbbFN2uOw3Xq1f4636+oLBwk5eREREpADKOvwCRMY0MfOzJzDvb3/v055JJIZ0o5k/Wpy3nrnJJO1z3+LJT32mT8WGNy76BRt8+ji2+fmFhBobettz7VsWERERqSRl/zPvUEM9u/zyQmad96M+YXDZnJeYceIJA77WX1NN3aabjPYU10uipYXHDj86a6myj/9xO29f9nvSPbkv8hARERGpRGW/8gsQbmxg62+czWanfp5UVxfG58MfiWAcQ+3MjemY927W1239w+/hry6+1VI3meSDP99MZoBb6t6/4c9s+o2v4o9G8zgzERERkeJWEeEXwBcMEhk7hsha1/ju/++7eOYrX2PJ/x7tbQvU1fKJ73+XDU88AX8knOeZDi7V0cmi+x4YcEwmFqPrgw8JjRnatcW+aMSr6pCjT0RERKQcVEz4zSUyYTy733AN6e4eOt99F18kSs1GMwhU1+ALhwo9vdxy1O5d5zErherqVM5MREREyl7Fh1+AUEMDoYYGqqZMLvRUhsRfW8PEgw+i/fU3co5xwmGqZszI46xEREREil/ZH3grR75gkA1POwXfAPt5Z5zyOfzariAiIiLSh8JviQo2NrDXPXdkvWFuyrFHs/l3vz2kUm4iIiIilUTbHkqULxSibuutOOiFp1jx1DMsf/Jpgo0NTPvM8QTr6wk2NAz+EBEREZEKo/BbwnyBAL4xY5hy1BFMOeqIQk9HREREpOhp24OIiIiIVAyFXxERERGpGAq/IiIiIlIxtOd3mGxnBzYRz9pnQmFMTW2eZyQiIiIiuSj8DpNNxOk87sCsfTW3P1zy4TeTTJJq7wADBkOwqRFjTKGnJSIiIrJeKib8Jjs7ScdidM7/GMcfoHrKJAI1NfhDRXyFcQFZa0msWMG7193A+3+5mWRLKzWbzGSzb3yVCQfsR0il1ERERKQEDRp+jTE3AIcDy6y1W61sOx64ANgc2MlaO3s0JzlcseZmnjn3Z7x92z9xk0kAQg317PDdc9j88ycSbqgv7ASLUGzxEv570KHEFi7qbWt/402eO/MsJh16CDv+8TIFYBERESk5QznwdhNw8FptrwPHAo+P9IRGWry5hQc/fwZz/3JLb/AFSLS28fSPzuPVK68h2dVVwBkWn2RHBy99/0d9gu+aFt13P8uffDrPsxIREREZvkHDr7X2caBlrba51tq3R21WI6j9ww9Z+PiTOfvn/Pb3pHt68jij4ucmEiy6/8EBx7z1u8tJNLcMOEZERESk2JR1qbN0PM5r11w/4Bg3mWThE1rFXFOqoxObyQw4pvO99wcdIyIiIlJsRv3AmzHmTOBMgKlTp4722/XhptMkOzoGHZdoa1vv9zChMDW3P5yzbyiS7e1kemJZ+3zRCMG6uvWe3/rwV1UNOiY8biyo6oOIiIiUmFEPv9baa4FrAWbNmmVH+/3W5I9EmLDzTnxw7/0Djhu77Tbr/R6mpnbY5cwyPTHu3SL7HA5/8xXIc/h1AgGadppF8/O5zzFu/MXTCTY15nFWIiIiIsNX1tseHJ+PTT/7aZxAIOeYug1nUDN1gzzOqviFmhqZddlv8IWzr1zXbDKTqccejeOU9ZePiIiIlKFB04sx5m/AM8CmxpgFxpgzjDHHGGMWALsC/2eMGfh0VAEFa2s4+K83YHy+fn2hxgYOu/1WIlrB7Kdqww054H8PMW7PPXrbfJEIG576efb9912EmpoKODsRERGR9TPotgdr7WdzdN01wnMZFYFolCn77sXnXnmel35/BQseexxfIMjMT3+KzT//WcJNTRitYPbjD4eo22xTdv3zn7CpFG4yhRMK4YtGCAxhT7CIiIhIMaqIG94CVVUEqqrY7eILSHV1gzGE6+sG3A4hHl1kISIiIuWkIsLvKoFolEA0WuhpiIiIiEiBVFT4zSYTj5Pq7MIAgbpanGAw73PwRSNeVYccfSIiIiIyMio2/GZiMRIrmnnv6mtY9sijGOMw8YjDmHHayQSamvDlcUtEsK4u7+XMRERERCpRRYbfTDxBy+w5PPvpE3GTyd72zrff5v1rrmWPe++hZvPNcLJUiBARERGR0lWRZQ7SnZ08d+LJfYLv6r4unvn0Z0m1tuV/YiIiIiIyqioy/C6+/wEyPT05+xNLl9Hxxpt5nJGIiIiI5EPFhV83maTl2ecGHdcye04eZiMiIiIi+VRx4df4/QQa6gcdF2wcfIyIiIiIlJbKC7+Ow/STPz/wIMdhwsEH52dCIyzZ3EzXvHdZ9tB/aHvxJZIrmnFTqUJPS0RERKQoVGS1h9C4sUw49GCW3PdA1v4ZXzwd/yhfhpFu7yATy73v2BeJ4q+rHfLz3HSang8+5JUzzqRr7lu97cFxY9ni17+iac/d8dfUDGvOIiIiIqWuIsNvsKGB7X5/KW9NmcJHf7kZNx4HwF9Tw0Znf4UNv3AagRzBM9PRgY3HsvaZcARf7dACaybWw+xtdszZP+uVF9Yp/CaXr+C5gw8n3dHRt33Zcl4+5XRm3f53mvbec8jPExERESlHFRl+AYKNjWzxkx+y6be/Sc/HCzCOQ2TyZPzVVfjC4Zyvs/EYH++XPURu8MgTMMTwO5Iy8TgfXnl1v+C7prfOPZ8d7/onwaamPM5MREREpLhUbPgF8FdV4a+qIjRmTKGnMizpzk4W33HngGO65r6Fm9TeXxEREalsFXfgrVxlerJvxViT1cE3ERERqXBlHX6t69KzfAVdi5fQtWQpPSuaCz2lUWH8fuq23WbAMb7qapxoJE8zEhERESlOZRt+461tvHnb7dyy7yFcteGWXDVjC+44+gQ+evRxEgPsjS1FwYYGNvretwccs8HJn8NfXZ2nGYmIiIgUp7Lc8xtva+OZSy5l9u+u6NO+ZM5L/OOQYzj0+qvY5OgjCBRwJdQXiTLrlRcG7F8XNVtswYbfOYf3f3Npv76G3Xdjxje+OuBBPvDKpdlkEhMM4vjL8ktDREREKpyx1ubtzWbNmmVnz5496u/T9uFHXLf59jn7A1VVnDn3RaJj1/2g20iVOhsNqfZ2EkuX8cEfr6T7nXkEm5qY9uUvUrPlFgQbG3O+Lt3eTrq9g8V//gvx9z8kNHUDJp52Mv76BgL1dXn8DERERERGhjFmjrV21trtZbe852YyvHzdjQOOSXV38/GTT7PpMUeu8/N9tbUFKWc2FIG6OgJ1dWz+y4txY3FMwE9gkLmm29tZdN31zP913xXjRVdfy6SvfIkNvvk1AvX1ozhrERERkfwpu/CbSabomP8xACc+9G+CVdm3DwRqy/e2M380CkO8oa792ef7Bd9VFl11DdWf2Iqxxx6NMWYkpygiIiJSEGUXfn2hII2bzAQgWBXlkf0/mXXcoS89n89pFaVUczPzf/3bPm1b3vVPnDWCs/H5iC9aDI6DLxohWKdtECIiIlK6yi78Oo7DNqd9nmd+8ZsBx/kCgTzNqHhZ16X7tdf7tDnRKP/dL/s3DIe88TIo/IqIiEgJK8tSZ8GaGva+6PyBB+nH+N6fgf4cREREpIKUZfgN1dWy9RknE25syDlGe1jB+APU77VnoachIiIikjdlGX4BwnV1+EOhQk+jqAXq65h+7o/AKdsvAxEREZE+lHoqXHjDGWzx1xvxaS+viIiIVICyO/C2Jl80wpFvvpKzT8BfVUX9nnsw65nH6Xz5VXw15VsCTkRERKSsw2+wrk7VCYbACYVwQiEa99+XZHu7V9UhC33DICIiIqWurMOvrDt9wyAiIiLlTHt+RURERKRiaOW3jKXb28nEYln7fJEIfq3wioiISIVR+C1jmViM57aZlbVv51dmK/yKiIhIxdG2BxERERGpGAq/IiIiIlIxFH5FREREpGIo/IqIiIhIxVD4FREREZGKUXHVHjIdHbg5yn85kQi+2to8z2j0+CIRdn5lds4+ERERkUpTceHXjcV4b/fdsvZt9NTTZRV+/XV1KmcmIiIisoaKC7+SWyWtiouIiEhlUviVXpW0Ki4iIiKVSQfeRERERKRiKPyKiIiISMVQ+BURERGRilFxe36dSISNnno6Z5+IiIiIlK+KC7++2lod3BIRERGpUBUXfiU3rYqLiIhIuVP4lV5aFRcREZFypwNvIiIiIlIxtPIrfaTa20n3ZL/lzR+NENB1ySIiIlLCFH6lj3RPjIe32i5r34Gvv6TwKyIiIiVN2x5EREREpGJo5bfIuJ0dEI9n7wyHcWp0IE1ERERkfSn8Fpt4nPaj98/aVXf3f0HhV0RERGS9aduDiIiIiFQMhV8RERERqRja9oC3z9bm2GdrCrjPNvqHGyAc7v19OpWGRYsAcEIhTCAw4pdS+KMRDnz9pZx9IiIiIqVM4Rew8TgrDt0na9+Y+x4t3D7bcJi3Dz0ia9fMe/9FYNx4GOHwG6irUzkzERERKVva9iAiIiIiFUPhV0REREQqhrY9FJtw2Ctpxso9viIiIiIyYhR+i4xTU9u7x9gsXVrg2YiIiIiUF217EBEREZGKoZVfvHJmY+57NGdfoTiRCJs9+wxY279vZakzERERERk6hV/6bjUoJr7a2hGv4ysiIiJSybTtQUREREQqhlZ+B2A7O7CJHDe/hcKYIlwtFhEREZHcFH4HYBNxOo89IGtfzZ3/UfgVERERKTHa9iAiIiIiFUPhV0REREQqhsKviIiIiFQMhV8RERERqRgKvyIiIiJSMVTtYQAmFKbmzv/k7BMRERGR0qLwOwBTU6tyZiIiIiJlRNseRERERKRiKPyKiIiISMVQ+BURERGRiqHwKyIiIiIVQ+FXRERERCqGwq+IiIiIVAyFXxERERGpGAq/IiIiIlIxFH5FREREpGIo/IqIiIhIxdD1xiIiIlK0bCoJ1gXHh/EHCj0dKQMKvyIiIlJ0bDKO7WjGfjwXUglMVQNM3xKCEUwgWOjpSQlT+BUREZGiYpNx3FcegfYVq9s6mrGL38VstC1M2RQTCBVuglLStOdXREREioZNp7Dvv9wn+Pbpf+9l6OnI65ykvCj8ioiISPFwM9hF7w085P1XsKlEniYk5UbhV0RERIpHOgluZuAxHc3guvmZj5QdhV8REREpHo5v8DE+HVmS9afwKyIiIsXD8UG0dsAhZuKGoIoPsp4UfkVERKR4BEKYTWYN3D9lM8xQVohFslD4FRERkaJhjMHUjcN8Yi8Ihvt21jTi7HgIqMyZDIM2zYiIiEhRMYEgjJ2KaZgAsS5sKo6J1oI/iFk7EK8Hm055t8b5/FpBrkAKv3lge7ogGc/eGQxjotX5nZCIiEiB2HQKErHVDeEoJssBNuM43spvMIwZqfdOJbCdLdiF8yCTxtQ0wuSZXqjW1ckVQ+E3H5JxUt8+MWtX4Le3gsKviIhUANvdgX3uP9g5j0K8G6pqMTvuDzvsjYnWjO57J+O4rz4GXa2r29qWYT9+G7P5ztA0WQG4QmjPr4iIiIw629WOe+PPsU/9nxd8Abo7sI/ehXvzb7A9naP33ukUdt6LfYLvGr3Yuc/m/gmtlB2FXxERERlVNpXAPv4vaF2efcDSBdgXH8Nm0qMzgUwau+LjAYfY+XOx6b7vb+M92J5ObGer90/dKlcWtO1BRERERlcygX316QGH2Of/i9lub6gahe0P8W6wduD371iBcdOA3wvhHS24j94B8+cBFnwBzGbbw66HYqoGrkMsxU0rvyIiIjK63AykkgOP6e4ABg6o6803hIoOa1Z96GjBvfW3MP+d1XPKpLBvPId7++WjukVDRp9WfkVERGR0OT7MVrvA1Jne7xe+j33jeUinVo8JV43e+wcj3o1wAwRwM2EG+IPYeA/u/26HdI6xbSuwrz2D3XZPnFBklCYso0nhNx+CYa+qQ44+ERGRcmVd11t53WI77LKPwFrMRpvh7H4o9rF7vBAMmB32gdEKk/4AZvonsPPmZO8PhjHjpmIcx9vy8PG8AR9n33gWZ/pm2PqxGAXgkqPwmwcmWg3RamysG5JrbZZPJbHtLRAMYSKj+F2viIhInlnrQnc77hN39KmmYFuWYD94DWfXg7y6v0s/xux8wKiVGjOOD8ZNA9fFfvgarHmwrroBZ8vdV98aN5RDdz1dgIF4z+gFdhk1Cr/5lEyQufjLWbt8P74aFH5FRKScJBO4T9+TvYxYOoX74n9wPvlZ76a1UT5EZgJBmLQRZvw0bFcbpFOY6rr+t8b5A97+XzeT+2H1YyDehV0+H1O3+6jOW0aewm8Jsp0d2ET2eoQmFMbU6BSqiIgUgY5miHXl7k8lsJ3NOFM2yct0jM/vBe3GCbkH+QOYmdti386xRQIwW++G+9FcTP3YUZiljDaF3xJkE3E6jzswa1/N7Q8r/IqISFGwKxZmbXf2/JR3AA3A58cmYmBWXmLs+Ap605oJhmHPI7CL3ofOLJdiTN0UM2Ea9u3nMVvsnP8JyrAp/IqIiMjo8AeztweC2Dez1/012x8IFPaaYVNVh3PCN7GvPIl983mIdUL9OMzWu2EmTsd95t9QVQc1DQWdp6wfhV8REREZFWbyRtg3nir0NIbEJhOQSUFXO/j9EKmB7fbG2XAL8AUg1on70ZvYd16ASDXO3sdhQtFCT1vWg8KviIiIjA5/EDNlE+yCdwo9kwHZeDfuCw/DovdW3wQXimA+sQdM2djbvrHwXYw/CLsdiWmapCoPJUzhN5+CIa+qQ44+ERGRcmKCYdh6L+/yiI/eBOsWekr92EQP7v/+Ce0r+nYkYtjZD4PrYjb6BEyYARiMX9Gp1OlvMI9MpErlzEREpKKYYBi23A2z2U7YjhXeymoRrZra5Yv6B981+197EjN1U0xYWxzKhcJvCTKhMDW3P5yzT0REpJiYQBACQUx4KgA2W93fArDJOPbdlwcelEp4JdsUfsuGwm8JMjW1KmcmIiKly/GtrOqQvS9vrIVUcvBhqSQmD9OR/FD4lVFlXZdESwtuPI6bSuOvqcZfVYU/Ujw/8hIRkfzy6vgWtpwZ4F1o0TQB27wIAGe/E7zKDmsLR7HJeN+b4KRkKfzKqEl2dLD8yad59dwL6Hr/AwD81VXMOPlzbH7ONwk1NRZ4hiIiUsmMzw+bbI9950WvwRfAffDPWcc6R58FCr9lQeFX+nA7O7DxHFcnh8M4Q9xukUkkWPzAQzz/pbP7tKe7upl35TW0vfEmu95wLaFGBWARESmgUBSz08HY5x8o9EwkTxR+pQ8bj9N+1H5Z++rueQSGGH7TnV289L0f5exf/tgTdL4zj9AuuhpSREQKxwSCsMFMzNjJ4GYKPR3JA4VfGRXtb71Nqr19wDHvXHkN9Z/YCn+Vyr+JiEjhmEAIAiFsT+egY20qAZk1Q7JdfTGG44NMenWXP6B9wkVI4VeGznWxXR2Y6sFXf5PNzYOPaWnFTaVGYmYiIiL5kcngPv6PrF3Ojofg/uva1b8//pvaJ1yEnEJPQEqHbW3OuR94bTUzNx50TO2Wm+MLq+qDiIiI5I9WfmVUhMaNpWbmxnTOezfnmE2+fCa+sK51FhGRIuEPeFUdcvRJedDKr4yKUFMTu/7lBvy1NVn7t77wfJU6ExGRomKCYUy0JvuHti+UDa38Sh8mHKburv9gW7Ps2Y3Hhv4cY6jZaEMOfvZJ3rnqGubffieZWJymHWexxfe/Tc3GGxOo1S11IiIikl8KvyUq09GBzRFGTTiCbz2DpVNTi5uI0/WVk7L21/zzoaE/KxAgMnECW/3oB2z61bPAgBMIEqyvW6+5iYiIiAyXwm+JsvEYH+69R9a+6Y89CUW0quoLh/CFxxZ6GiIiMlSuC9gBBhhwKnTnpM+Hs9en12joW+rMOf6bq7u0T7goKfxKPyYczrnCa8La8yQiUv4stC/P3V1XuQsaXk3gQs9ChkPhV/ox1bVYF9xs2yp6YjguOEW0siwiIiIyVIOGX2PMDcDhwDJr7VYr2xqBvwPTgQ+BT1trW0dvmpJvbjzG4gP3zto38eHHFH5FRESkJA1lw85NwMFrtf0A+K+1dibw35W/FxEREREpaoOGX2vt40DLWs1HAX9e+es/A0eP7LREREREREbe+u75HW+tXbzy10uA8SM0HxkiE454VR1y9ImIiKwLm06Bm/F+4/NjCjsdkVEz7ANv1lprjMlZD8UYcyZwJsDUqVOH+3aykq+2tqjKmYmISIlzM9jXHwfAbLozNrrG/2P8QYxZMw4rGkvpWt/wu9QYM9Fau9gYMxFYlmugtfZa4FqAWbNmDVQ0UERERIqAffu5Pr83W+0FQ7ze16aSrKoRbI2DSSW9FWVjwDiYSNVIT1dknaxv+P0XcArwy5X/vGfEZiRFwQlHmPjwYzn7RERE1mTTSehswS56F3o6YdqW0N6CO+cRaFnqDRo3BWfng2HcBpiQ6sZLYQyl1NnfgH2AMcaYBcD5eKH3H8aYM4CPgE/nfoKUIqe2VuXMRERkSGw6hV3yASx+z2uYuBF8+BZ29n/7Dly2APfff8Ls8ymYuY13YYRIng0afq21n83Rtf8Iz0VERERKUTq1Ovg6fkxVI+7sG3MOt0/cg5m+BSj8SgFU6MXcIiIiMhKs62KXfbi6oX4cdt7LrNr3m1UmjZ3/9ijPTCQ7XW8sIiIi4Pi8g205+nKyLsR7Vv/e54fOIVz62tG8bvMTGSEKvyIiIoLxB4DAerzQgdAaB6EzKahrGvx19WPX/b1ERoC2PYiIiMh6M46DGTdtdUPbMszG23ilzXLxBzAbzBz9yYlkofArIiIiwxMIwqoA7GawHcsxuxySY7DB7Hsc+IN5m57ImrTtQUpGvK2dVE9P1r5ANEq4vi7PMxIREQDjD8LkTaCqzqvzu/QDmLI5zmGn4s5+BJbO9wZO2hBn10OgYRwmoPArhaHwKyUj1dPDHzbcMmvf199/Q+FXRKSAjD+AbZqMqRsL1vbe6OaMm+odisOA42DC0UJPVSqcwq+IiIiMCGNM/9q9/vU4RCcyirTnV0REREQqhlZ+RURERNaDjfd4t9tlMl5941BYe5lLgMKviIiIyDqwmTS0t+DefzP27ZfBdSEYxuywD87eR2CqdQalmCn8SumwA1yVKSIiBWOTcciks3f6/JhgOL8TGm1tK8hceS4kYqvbknHsMw+Qee91fGf8CFNVW7j5yYAUfqUkxJubSXV28sVn/oddGYIdv59gbQ0mECAQ1elhEZGCyaRx/+9PWbucw76Q58mMLtvThfuvG/sG3zUtW4B95RnY5UCMo6NVxUjhV4pevKWFRz9/OsueeqZ/pzHs+7e/MvnA/fI/MRERqTxuBvv+mwMPee4hfFvvCtVa/S1G+pZEil7LK69lD74A1vLsN79Nsq0tr3MSEZEKlUoOvg2vsw3QVr1ipfArRS3Z3sHcK64ecExsyVK6P16YpxmJiEhFCwRhsO0MDWMBk5fpyLpT+JWi5qZTxJubBx0XX7EiD7MREZGK5w9gNtt+wCHOHodBVU2eJiTrSuFXipovHKZuk5mDjquePi0PsxERkUpnwlGcw06Gmvrs/TM2x2y6nXfbnRQlHXiTohaoqmLLb3yV92/7Z84xDVttSaihIY+zEhGRPnz+3FUdfGUYNWrq8Z11Ee6T92HnPArxHmgYi7P7oZitd8VEqws9QxlAGX5FSrmJTprEVud8g9cv/X2/vmB9HXvdeB3hMU0FmJmIiADlV8d3EMZxoKYe54DjYM/Dve29FohWq7xZCdDfkBS9UH0dW37jbA76952M32M3/FVVhMeOZYuvfpkjn32Cmg2nF3qKIiJSgUwgiKmuxVTVev9U8C0JWvmVkhCqr2fCXnvQsNWWuJk0WAjU1uAPV9Zqg4iIiAyPwq+UlFCj9vaKiJQS62bAdbN3Og7G8eV3QlLxFH5FRERk9LguLHk3e9+EjUHhV/JM4VdERKSE2GQcMunsnT5/xR0+Wx82kwE3A53N2EQPJhSBmjHeSnQ5VqeQPvQ3LCIiMopsvAfSqeyd/gAmHF23B2bSuPdem7XLOfzMdZxd5bGZNLQvxy58B6y3HcMCmHcwkzbB1o9TAC5z+tsVEREZTekU7nXnZe1yvvizPE9GiHViF7zVv91a7MK3vVXgap0vKWcKv1KSku3tZHpiWft80QjBuro8z0hERIqdTSexS94feMyS92H61hh/IE+zknxT+JWSlOmJcf+W22btO+SNl0HhV0RE1mYt9HQMPKanwxsnZUvht8zYni5IJrJ3BkO6clFERPLLcbyqDrn6ipLCbzlT+C03yQTpH34+a5f/F3+FMgi/mVQKm6tmpIiIFBXj+IqnnJkxEKmBWGfuMZEab5yULYVfKSluJkPnO/OwqRxlfkA/rhKRomETMcDinPSd/p3J5Po91OfPXdVBVQoGZPxBGD8D++GruceMn+GNk7Klf0ukpKRaW3ny0yey28035RxjFX5FpFikU7i3/jprl3Pid2E9DlWpju8wRWsxEzfGLn6PvtsbDGbiRhCtLdTMJE8UfqWkdLw9j9iixQOOycTjWGsx+rGViBQz46x7jV8ZNuMPYBsnYurHQdtS75KLYBQaxoPjU43fCqC/YRky29WJjWcvL2bCEUx1zajPoXnOiwBkenrY578PZB2TicVwk0l8odCoz0dEpFLZTNrbZmYcjK9I9vSuxbqZ3FvhfH7M2KmgxZKKo/ArQ2bjMbo+c3DWvurbHshL+A01NgLw6OHH5Byz0Rmnsu0vLx71uYiIVCKbTnkHxtqWeNcsh6LYxkngDxbfqqm1sOyD7H3jZgAo+FagIvsqlWELhryqDjn6St2EA/bD+Hzevew5bHT6qTh+fWmLiIw0m07BgrmQ6FndmOiBjhUwZgNs/fjiC8AiaynWAnuynky0GlPflP2jDMqc+aMRNv3a2Tn7Jx58EOEJE/I4IxGRymDdDCyf3zf4rmnFx5CM53dSIutB355JSQnU1rLp188mUF/HW5f9gVR7OwC+SIQZnz+JLb7/bUKNupNdRIqEP4Bz0vdz9pUU14XOFQOPaV6AnbixVn+lqOmrU0pKsr2DdDzO2L32ZINjjybZ2oZ1M0QnT8ZfFcUf1clpESkeJhSBUKTQ0xgZmdTgddTj3WB1CZEUN4VfKRnx5hZm/+hcPvjHHb03vIWamphy8IHs8LPzFXxFREaTGcJOSccHjPwBMpvJ5A7VRVxtQoqTwq8MmQlHqL4te3kxEx7dlY1ESyvPfP0cPr73vr7tzc28d8ttdM3/mL3/cj3hldUgRERkhDk+CIQglcg9pm7s6FxlbF1Y8Gb2vilbADne05jeqg5Z+6QiKfzKkJnqmryUM8sm2d7WL/iuaekTTxFbslThV0TKnnXdgVdBnVE6y+7zw7hpsPCdHP0BqBs7eu+/pokbg7MywjgOuGtUADKmd5XajEYQl5Knag9SEj6861+Djnn3ltvyMBMRkQKzLrQszP4xivttjTEQqYWJM72gu6ZwNUzbsn/7aHH8mHin99HdCmt+6Ip7GYRWfqUkpLq6Bx2T7urGum5+Vh1ERCqQ8fmx1Q0QrYV00rvkIhDyrgUeoeoVNhmHdKp/R9NUb1V3xUcj8j5SuRR+pSRM2m9vXv/t7wYcM/mg/RV8RURGmXEcb6vBaJVqS6dw77kqa5dz+BeH/Bjv+uWBDskpAlUq/c1LSajfbDOqpkyme8HCrP2hpibG7bxjnmclIiJFy7rw0evZ+6Ztld+5SFHRMpmUhFBjAwfeczvhMWP69QXr6zjo3jsJNuhyCxGRsubze9UdtGorw6CvHikJxnGonjGdI597go/vf5AP77wbrGXqEYcy9cjDCTU04KjOo4hI3thUwtvzm43PjwmERuV9jT/Qt7qDyDpS+JWilUkkSHd0AN5/7IIN9YTHNLHxSZ9h6pGHgYVATbVCr4hIIWTSuA//JWuXc+DJ3kG40WIMVOX4aZ/q98ogFH6l6LiZDMkVK/jg2utZ+I87yPT0ULft1mzy3W9Ts/mmBOrqCNXVFXqaIiKFYRxonJy7rxIYZzQukpMKofArRSf20XyePOgwUq2tvW0rHn2cFY8+zszvfZsNv/xFAgq/IlKhvKo2ZRxy/QGco76Ss09kuBR+pagkmpuZc8aX+gTfNc275LdMOuoIhV8RkTJlgmEIhkfgQU7uqg6VskIuWelvX4pKqq2djldfG3DMe5dfSbqnJ08zEhGRUmR8fow/mP1D1SIqmv72pWBsJkOytZVMTww3nSZQU0MmnsBXXUVmgBvdOt9+m0wshj8azeNsRUREpBwo/EpBJNvbWf6/x3jjgovomT8fAH9NNdNPOZld7vwHL3z2ZJLNzVlfG2xoxNG+LxEREVkPCr+Sd5lYjEV3/5uXv/WdPu3pzi7e/eOVdLz5JttcfhkvnHhy1tfP+PIXCdTV5mOqIiKSi8/vlTTL0SdSrLTnV/Iu3dXN6+een7N/2SOPgs9H1cyN+/U17LQj9dttO3qTExGRITGBECZclf1jNGv8igyTwq/kXdsrr5IeYE8vwMf/vIOpJ3+u9/e+aIRpXziNWTffSLBR1xiLiIjI+tHPJSTvEitWDDom2dLC5OOOYdJRR+Amk/hrqvFVVeGPRPIwQxERESlXCr+SdzWbbTromLqttiDY0IAT0ME2ERERGTna9iB5F50ymej0abkHGMOM009T8BUREZERp/AreWVdFyccZue/3oi/pjrrmK1//QsC9UO7wc1Np4kvX0F8+XISzS0jOVUREREpQ9r2IHnhplKk2tpZfN8DLHnwIRp33pF9H/8v7193Awvvugc3kaRx5x3Z7PvfoWr6NAI1NYM+M7GimQ///g/ev+HPJFpaqZm5MZuf8w3G7LwjwQYdihMRkdxsOgnWer8xBnwBjDGFnZTkhbGr/uLzYNasWXb27Nl5ez8ZXbarE5uIZ+0zoTCm2guwbjpN59vv8ORhR5Pq6OgdE6ivZ6OvfImpJ34aJxjEFwwNuX5vbOlS/nfIkXR/8GG/vg2OO5btL/m5ArCIiPRjM2mIdWIXvwexTq8xGMGMmwa1YzC6RKlsGGPmWGtn9WtX+JX15TYvp/vEQ7L2Vd16P07TWMCr7vCfnfYg1daWdWzt5puxy99vxl9TQ7Bu8O0Oqc5O5nzzO3x85905x+z+t78y6eCDBn2WiIhUDutmoH059uO52QeMmYIZN10BuEzkCr/a8yujbtn/HssZfAE65r5F17vv8dHNt5Jsbx/0eZl4ggX/unfAMXMv/T2JFu0BFpESYi24mb4fMrLcDHbhO7n7VyyATDp/85GCUPiVUZWJJ1jy4MODjmt5YQ4rnniajtffHHRsurMTmx74P06d78zDZvQ/DhEpEa4L8S5oXw5tS72PrjZIp7w+GRnd7YN+U2GbF2L1Z17WFH5lVBnH4AsNfs2lEwxiM2ne+vVvSba2DjjWN4SLLrxb4HRwQUSKm3Uz2Ewa66ax/iC2ugFb0+R9RKqhYzm46dUHs2R4UtnPqfQboz/vsqbwK6PKCQaZ+rnPDjpu3N570jr7RdpeegU3NfCqrhMM0LD9dgOO2ej0Uwk21K/LVEVE8s9aaF4ALYugdXHfj1W6WsFqJXJEBIdwS2gwCo4WT8qZwq+MuppNNqF2yy1y9k868nDaXn2NVHs7/qrooM8LNTWxw6WXYHJcglE1bRrTP3M8jl+V/ESkDLgZhd+REq0F38D/bzBNkzBG8aicKR3IejOhMFW33p+zb5VQUyO73XEbs8/4Miueenr1IMdh8tFHstFXzuSZ408EYINPHzekcmc1m8xk/4fvY84536P1xZe89/T7mXzEYWz78wsJjRkzjM9MRKTIuC74RufR1s2s3HPc6QXtYBQCIXB85Vf31vFjNtgC++FrQJatDeM3BN8o/UFL0VCpM8mbRHMLyeZmlv73ERx/gKZddqL52eeZ+/NfkWpvJ1Bfz/5PP0Z4wvh1eGYzbjJFuqeHQG0NvlCYQO3gF2SIiBQDm0l72x6yaZiI6Wz2fl03btAVy/V+//bl0Lmib4cvAOOmQyBUdgHYZtKQjGOXvAedK6sCRWoxE6ZDtM77RsDNsf3O8WMCwbzNVYYnV6kzrfzKiEl3dOD2xLL2OdEIoaZGnFCQhu22Zd4fr+LNCy8m3dUNQN0ntmLH668hOHbdVmxDTU3DnreISFHz+b0byEaYdV3obO4ffAEyKVj6Pkya6QVhwFrXqz7ReyuaA/7SuxXN+PwQqYapW/Q52Gb8Xqi16R7cp+7K+lpn92MAhd9Sp/ArI8btifHmjjtn7dviheegtpZAdTUNs3Zgu9/9lp4FC0g2t3jXGdfXKciKiPRjoKoBnFH4Ubx1oSNL8F3FzUBXG7a2CTIZaFmMXfwuJFdWTAhXYSZvgi3RW9GMr/TmLCND4VdGxYb/uA0TXX2q1s1kiC9aDAZ80SihMU2ExijsikiFMwaapni/tnblSqRd3Vc3dnSCL0A6OfhBup42qKrDLnwXln3Yty/ejX3vJcwGm2PHbuCtqIqUAH2lyqgw0QjPHJD96uM9X3oerCVQX5/fSYmIFBNrvWrkxgDGK6+1Zhg1xttaMIrvP/iYlePWDr5rDlnwNqZp0qjsSRYZDarlIXmXWtHM/Mv+QKpt8KuMRUTKzqprjONd0NEM7Sugp907ZGWMt9Lr+EY3+AIEggx6GVC4GtvVNvAY63qH5kRKhMKvFMTCq6+l7amnCj0NEZH8czPQtgx6OryDZW4aEj1eWyKev+uMjQNV9QMNgNqmIQVbm8h+2FmkGOlnFFIw839zGXW77ExQB91EpFK4Ga+8Vq69tt2tEBhPPtamjOPDNkyATBLi3Wt1Ghg73SvtFYpmq4jbd3i0jEpMOv6VVR2y90np09+ijBgnGvGqOgBuZuArigG635wLru5PF5EK4rreau9A4t0QrRn9bQ94Zb/smKnenDqbvfmFolBVB8aHcRxs0yRY8DZZL4UAb69vdcOozzVfvDq+KmdWzhR+ZcT4a2uh1rudLb5w0eAvcJxBt5uJiJSVwYIvrKzCQN7++2h8fvD5sY2TVr6v6Vu71+fHTN8S++Hr2V6N2Wg7HXaTkqKvVhkVTiTMro/9B5vs/x96t6cHgMaDDsTRTTkiUkmGspprCrMwYHK8r/H5sQ0TMZFa7MJ3vBVivDJsZsomEIxgRqscm8goUPiVURFsbCTx0XxePvTIrIc3TCDAjB//AH9dbQFmJyJSIP4AXsIcYMtXuCovWx7WhfEHoLoeNtq2zw1vpXi5hUhx/dslZSUycyZb3XwTgbUuswhOmMAn/vk3whtMKdDMREQKxXj7eXPxBVYG5OJk/EFMIOR9FPE8RQailV8ZNf7qKur33IMdHn+E2Lz3iC9YQGT6NMLTp+Ovq8UJ6D+cIlJhHAdCVYCBWGffqg/BiHfQrMS2ENhMyrv+GLz9wdr/K0VOX6EyYtJdXWR6elj+8H+JL1xE9Rab07jLTviqa6jbZSfq2KnQUxQRKTzH8bY2hCJe6TML+Hx4t7yVzg9kbToFyTj247nYtmXeQbmmSTBlUwiEtA9YipbCr4yIVHs7C2/5G+9c9AtsavUhN39NDdv86Rrqd9kJfzRawBmKiBQRY8D4Sm6VdxWbSWPblmHfeqZv++L3sEs/xPnE3tiqekwJhXmpHPqqlGGzrsuK/z3G2+f/rE/wBUh3dvLiiZ8fWukzEREpDZk09u1ns/e5Gdw3nxpaWTeRAlD4lWFLtbTy7i9+lbPfZjK896tfk+rszOOsRERktNjlH6+u+pBNKoHtasvbfETWhcKvDJubStLz/gcDjln24MO4iUSeZiQiIqPFuhnoahl8YFfr6E9GZD0o/MrwDfTd/6ohrqvL3EREyoFxIBAafFwwPPpzEVkPCr8ybE4wRGjixAHHNO25B0alzURESp4xBjNho8EGYRom5GdCIutI4VeGzV9fx4bf+saAYzb+4fcI1NXlaUYiIqXPui7WzXiVFTJpb7tBsQgEYcwGObvNBpuXbCULKX8qdSbD5vj9TDzmSLrfe4/511zXp8/4/Wx52W+IbjijQLMTESkRq66CzySxjg+62iDeTe9VyMEItqbJu0jCFHYjmQmEcDbaFhupwi56b3Vlh0AIM3ULzJgNdAOcFC1jh7Bfc6TMmjXLzp49O2/vJ/mVam8n3dHJglv+RnzBAmq22pKJxxyNr6oKf3VVoacnIlK8rAupJMQ7sdE6aFuWvVSYMdA4uWiCpc1kwE17czcG/H7wBVXfV4qCMWaOtXbW2u1a+ZURE6irI1BXx8wffBc3ncbx68tLRGRI3IwXfP0hb7U3V41ca6GzGVs3tihuUDM+n3c73VAOwIkUCX1rJqNCwVdEZIhcF5vo8X4dCEJskJroyVjvTggRWXdKKCIiIgVi3QxYi0knvQbjeKvAg79yVOclUs608isiIlIA1nW9LQ5rhl3XBd8Q9vMW+MCbSCnTyq+UHTeTIdmy8mYhA/6qKvyRSGEnJSKyNutCx3KoacL6AphMClJxiNZA5wA3qIWqoEDXBllrIZ2EWCe2bRk4PkzTJPCHMIFgQeYksq4UfqWsJFpa+OiOu5l7+RV0z/8Yf1UVM048gS3P+SbhcWNxfIU/ICIiAkAq4QXg7jZomAixFCaT8qo9BMJeEF6b44eaxoJUU7DWQqIH+9az3r7jVe2L5kFNE2y8PUYH36QEaNuDlI1ESwtPnX4ms7/7A7rnfwxAurubedfdwP177EvPwkUFnqGIyBoy6ZX/TEG8CxuuBsDEOqG2Caobwbdyjco4EK2DxkkYX4HWrdJJ7Nyn+wTfXp3N2A9ewa7auyxSxBR+pWws/t9jLHn08ax9ieZmXjjnuyTb2vI7KRGRXNbcJtDV4m0liNZhg2FvVdgf9FaEx2wAY6ZAdb1XWmw99Lkpbu2Pod4c17HCm1cubcsgU0S30InkoG0PUhbiK5qZ+4crBhyz+L//I5PUqoSIFAlfwLsCeFX47Gn3PoJRr3au60Lt2JG50MJaWP5h9r6x0wd/eSaNbVk8+Pt0NkNoyjpNTSTfFH6lPFi3d6vD/vfejS8aLfCEREQG4fi8ld3mhfQpXZZcWfO3pgmK6aa0odwIqwpsUgIUfqU8GENkwniSra34olHu2vvArMM+O/fl/M5LRCQHY4x3o9vYqV51h3gXYCEY8fb7BkJFcYsb4FV1aJyIbVs68LjaxvzMR2QYiuhbSpH1F2psZNOvfGnwgaqNKSJFxDgOxh+EunEwbjqMmwENEzGhaPEEX7ygTt1Ybx9yLnXjVh/QEyliCr9SFozjsMFhh9CwzdaDjhMRKTbGcTA+v/dRRKG3D38Qs8VuEAz376tpxGy4jRfkRYqcvkWTshFqamTfO/5OvGWA4vAiIrJejDHYUBVmyz2hp8PbAuH4ME1TvC0auuRCSoTCr5SV8JgmVXQQEVmbMbmrOqzDdjBjDARCUDcWUzd2ZOYmkmcKv1IWUu3tZHq8wuuOtRz7+MOr+7p7+PchRxVqaiIiBVe0WykKyKaTA9cl9vm0jaNMKfxKWcj0xPjPVttl7dv/1Tmc+M5rAPijkXxOS0REilUmg53zQM5us8PBSkllSn+tUvaM41A1cUKhpyEiIiJFQEffRURERKRiKPyKiIiISMVQ+BURERHpR3c1lyvt+ZWSlkmlSLa3k0kkCj0VERERKQEKv1KyMskkza+/yb+PPYFDb76RXf9zf2+fPxolWFONMQ4+VXgQEZG1+XyYHT4JqRy14VUermwp/Mqoczs6cOOxrH1OOIJTW7tez403N3P3IUeR6u7mzoOP7Ne/4w+/w/bnfBN/JMtVnCIiUtGMP4h1Xexbz2Tv33rfPM9I8kXhV0adG4+xcP+9svZN/u/j6xV+M4kEr117A6nu7pxjXv7j1XzizC8o/IpIwVjXBetm7zQOxtHRG5F8U/iVopFu78CN5VghjkTw160OyameGBvsuTszjzoC183w0UP/5fUb/kz3osWrx3R20blwIZGxY0Z97iIiWVkXWhZl72uchM6di+Sfwq8UDTcW47Xtd8ra94kXn4eV4TfZ2sbSBx/ind9dTuc783BCISYdeRhH/ONmXvjt73nvrn+tfqHVaV0REcnB8eXe3qA9v2VL4VdKSrK1lVd+8BM+/ucdvW1uIsGCf97JkvsfZJfbbqFrwUKWvjAHfzRK9ZQpBZytiIgUM+MPAIFCT0PyTD9vkZLS8dY7fYLvmtJd3bz2gx+zw7e+BsCWZ5xKoCqaz+mJiIhIkVP4lZKR6ujgnd9dPuCY9tffoHriBDY96TPM+u63CEQVfkVERGQ1bXuQkuEmkvQsWDDoOBtPsOclFxOqq8vDrERERKSUKPzKqHPCESb/9/GcfUNlAn7C48fRMfetAcdFJo5X8BWR4mCclVUdcvSJSN4p/Mqoc2prh1TL14lEvKoOOfr8dbXM/OpXWPZo9iANULPJTIL1Des9VxGRkeTV8VXIFSkmCr9SNPx1tb3lzHKp33Zbxu27D8v+92i/PhMIsMMVvyfY1Dg6ExQREZGSN6xvR40x3zDGvG6MecMY880RmpNITqHGBna87kq2+MkPCa26vMIYxu27N/s9+jB1W2yOMaawkxQREZGiZex6XgJgjNkKuA3YCUgCDwBftta+m+s1s2bNsrNnz16v9xNZk5tKkWxrx6bTGJ8PJxAg2FBf6GmJiIhIkTDGzLHWzlq7fTjbHjYHnrPW9qx8g8eAY4FLhvFMkSFxAgHCurZYREqV6wIW0knv1z6/92Ec0E+vREbVcMLv68DFxpgmIAYcCmhZV0REZCCuC4keiHX0bXccqG5aGYIVgEVGy3rv+bXWzgV+BTyEt+XhZSCz9jhjzJnGmNnGmNnLly9f37cTEREpfdZCKt4/+IIXijtWrFwVFpHRMqwDb9ba6621O1hr9wJagXeyjLnWWjvLWjtr7Nixw3k7ERGR0mZd6MkSfFcPgHjX0AKw64KbyfGhAC2Sy7BKnRljxllrlxljpuLt991lZKYlIiJShqz1AvBAUjGIVA/lYd5KcTa1OhMhkstw6/zesXLPbwo421rbNvwpiYiIVLD1K8IkIkM0rPBrrd1zpCYiIiJS9owBDAMmXH9w5RgRGQ26c1FERCRvDISqBh4SqfEqP4jIqNC/XSIiIvniON5+3kAoe39VPfh8eZ2SSKUZ7p5fERERWReOA1UNXlWGeLd3AM7vh2CVty3CaF2qWNlEDFLJ7J2BICYUye+EZL0o/IqIiOSb46wMwbXe9l9j1uNiCzNAVQftGR4VqSTuTRdm7XJOPRfKOPzaTAbSKXAcTCC4RlsaHNPbVgr07aWIiEihmJUheH1udHMccHw5PvL7v3ebiGN7OrN/JOJ5nYuMPJvJ4C5ZROepx+J+9D42lVyj7ZjetlKhlV8REREZnkwK9++XZu1yTjgHCOd3PjKibGsz3V89GdvWStfXTqP68hshWtW37Zpb8U2dUeipDonCr4iIiIjkFgzh33kPUg/+G+Ixus462dunHusBwLfVtpi6hgJPcugUfkVEREQkJ6e2jvBZ3wHwAnAq2XvwzzdrV6I/+QVOXX0BZ7hutOdXRERERAZkqqoJffa0fu2hE07GRAepXV1ktPIrIiIiMhSBoFfVIUdfuVp1uK37m2f06+s59xyqL78RZ9qGJVPxQSu/IiIiIkNgQhFMdV32j3Iuc9ba0nu4DcC33U749z7Q64zH6PraabiLFxZwhutGK78iIiIyPL7AyqoO2fuKhU0lvL2qnc1embm6seDzY/zFM8eiFAzi33lPUg/+q3ePL8aQmDiZ5G036cCbiIiIVBYTClPs5cxsIoZ9+wXoae/bMWYKTNuyZH5kXwjegbdv49toEwIHHY5TV0+6tQ3f0Z8lvNGmBHbctbfNTSUJjB2LWZ/a1XmibQ8iIiJS1mwqgX3z6f7BF2DFAuxHb2LTqfxPrIQ4tXUEjzyuN+R+9KNzeeuwo2CzrTG1db1tcw85guSixVhrCz3lnBR+RUREpLx1tkKiJ3f/io/BTedvPiXKhMJkurtZduOfab37HpILF/H20Z8iuWQJbjpN7M03SS1azLwTTybT2Ummu7vQU85K4VdERETKls2ksSsWDD6wo2X0J1MGfFVVjD3lc1TtsD0A9YcfRufsF3n1+M8w44o/EN12Gzb+yw10vvQyLx12FMlly0jH4mSSxXP9sfb8ioiISHmz7uBj3Mzoz6NMBJqa2PjP17P0+huJbrcdb5x6Bjad5s0vn83Wd/yd7jfn8sbnTsWm07xy7KfZ4q83kYzFqN14I3zBwu+t1sqviIiIlC/Hh6kfN/i42qbRn0sZMT4f6dZWQhMnENlwBgCxee8yZ58DeP2kU7BpbxtJwwH70/LKqzx08BF0vvc+1h3CNyKjTOFXREREypYxBhongm+AH3bXNBZVSbZil25t46MfnsuKm/7KB2d9jc2v+iPRTWZ6fS2tkPFW0Sd9+UxC227D41/4MjUzphNqasQ4hY+ehZ+BiIiIyGjyBTBb7JY9AEeqMTN3UKmzIVrzwBtAcvESnEiECSd9ts844/cz+UtfoPmNN2jadhtmXX4Z8x57inhHRyGm3Xdu+SxFMWvWLDt79uy8vZ+IiIgI4P24PZOC1qXYtmVgHMy4DSBap+C7jlLNLbx7yunE3n6HLf7zALEPP+T1E0/u3eqwSmTmxmz1t5vJuBmevOp6Hv/tH/ji/+5j2m674ORhBdgYM8daO6tfu8KviIiIVApr7crDbQbj8xV6OiUr1dyCG4sRX7CAVz91Qm/wHX/iZ+h4YTaxee8CKwPwbTeTsfDmAw+x1aeOIdqYn9vgcoVfbXsQERGRimGMwfj8Cr7DFGhqJDh5EpENZ/QeeJv8lS8x9oTj2eKm63v3ADfsvx+tc14isXARWxx8EJH6ukJOG1CpMxERkbyxmXTuklqODzPQoSyRImOMIThuHJ+4/TZW/OtenAnjefKoT1G14Qx2vPYq2h5/Av+UKSS7uuhuaWHKhjN04E1ERKSiuBnsO89n/VCdWSlVofHjGffp4/E3NGDTabremccLZ36FpGtJdnURmjyZ2u22Y95jTxbFgTeFXxEREREZHgPtr77W+9uud+bxxgU/o/3lVwhNGM8tJ53ObSeexuJXX8ctcK1f/XxFRERERAZkUylMIJC1LdXRwUe33MYb517Q73Uf3nATxu/niEsu4vV7H2D8FpvnpdLDQLTyKyIiImXLWotNJbGp5IBtkpvb1kp6znPY7q412lp62zI9Meb+7CKvwxi2v/ZKdv/3XTgrrzL+4LrrGTNlEodeclHeKj0MROFXRERERpy1/X+0na1tdOdgoacD9/4bsEs+8AJvljbJzW1rpft7Z9H9vbNIPf0YtqcHt62F7u+d3dsWiIbZ7a7bccJhZt1wLRMOOpCG7bbr01a94QxCNdWF/nQA1fkVERHJG5tKeIfbsjCb7IQJhPI8o9Fh4z2wYhGMmYQJR3O2jfo8knHcB26CeDcAZtfDMU0Tcf9za2+bs/fxMHZKUVQhKDY2mST19GP0nHuO12AM4S9/k9T/HiLz1hsAOBMmUXPTnbiOj0w8hhMI4K/2Qm4mFu/Xlk+65EJERKTAKqHUmY33YF95CvvEPZhdDsbM2s9rf/Up7OP3YHb5JGbW/nkJwDYZx370Jval/61udHyr/w7GTsHZ7UhMKDLqcylVblcXqf/8H7HfXtSvz4yfSM0Vf8EZP6EAMxtcrvBb+v+WiYiIlAjj80MZBNwBJWLYp/4NgH32AS9oBoLYp/7Pa3vuIczmO0Iewq8JhmHaFt77rgrACr7rxKmuJnDQ4bjNK0jcdPXqjmCImmtuwWkaW7jJrSet8YuIiMjIiVbjfOosWLmNwD7/cG/wxRjMUWdCTR4PPQVCmMkzwZg+zWbKJqBb3oYmmSD97BP92158vs8huFKh8CsiIiIjxgRCMGlDL+Su3XfYqZipm2CC+dnb3Hu47T+3wFrbPO1Lj2AX68DbYFYdblu1xxf/6p9c9Fz4Q+8QXIkFYIVfERERGVmZNKxY2L99+cL83mSXSuD+92+9h9sYOwWzxS693faZe6FlCbbAly4UK5tMkn55Dpm5rwPeHt/a2x8m8u2frBxgiV/7B8DkfkgRUvgVERGREbP6wNu/+/c99xB29iNe5Yc8MZvv5P1i7AbeHt9NZ2G227e3jfqxqvSQgwkG8c/alci3f7L6cFvTGAIHHNbbVv3HP2Oqqgo91XWiag8iIiIyYmx7M+71PwXX9fb4HvkF78DbnVf1tjmn/gTTND4/80nGscvmY8Zu0Hu4LVub5OZ2dQEWp7pmwLZik6vag77VERERkZGz6sCbz4856kzMtM0wkzfs00ZNfd6mY4JhzMSN+oTcbG2Sm1Nd3S/kZmsrFVr5FRERkRFlUwlIp72wu/JwW7Y2kdGkOr8iIiKSFyYQgrVuq8vWJlIICr8iIiKjzXUBC+mUV3LLH/DqzjqqMzsabDLurTCvcaFItjZZd+l4HKzF8ftxAoGcbcVMe35FRERGk+tCohvalkFXC3S3Qvsy6GzxSoLlcfthJbDxHtwn7obWZd510jnaZN2l43HaX32NB7fZkc5338NNpfq0db33Pm4qVehpDkrhV0REZLRYFxI9EOsE1gq5mRR0NntjZETYRA/u43fAwndxH/yLF3YTsb5tbctXh+JkvP8zsrSJp2f+fJ446jgSK1bw2MFH0PXe+7S/+lpv26OfPJzEihWFnuagFH5FRERGi7UQ78zd72YgGdfq74gxmJpG75eZNO6Df8F94CZY8pHXFghBKAKODxvrwj51L7Zn9d+P1/bvPm2yWmjsWCYe8kkA0p2d/HfvA3j8sKNxEwkApn320/jCxV9BQxtfRERERksmM3iwTfZAMAxG+3+Hy4QisP1+ANh5L3nbStqbvc5wFc6hp0FVHcS7cR+82bvdrWUJziGngHHWaFuKc8gpmGhplvIaLaGGBrb77a8AWHj3v7BrbHHY6Mwz2Pz73yXYUF+g2Q2dVn5FRERGzRBWdLXoO6JMKILZ8SBY62Cb2WZPiFRjjPH+zFdds9y+Avf/bsS970ZoWeK1uUP4pqVC+SJRpn32hH7t0z77Gfw11QWY0bpT+BURERktzhB+wOoPAmbUp1IpbLwH95HbvFXfNdtn/6f3wJuJVuMcfArUj/U6O1ugfeVe1ZoGnENPw1TV5nnmxS8dj9P26qs8e/Lp/foeP/JYulYegit2Cr8iIiKjxZjBa9uGq8DR/45HQu+Bt1V7fMNVMGlD79cr9wCvOvBmotU4+3+m3zOcfY9X8M1h1YG3VXt8p5/yOSYdfhjg7QHWgTcREZEKYl0Xm0lju9uxHc3YWCfWWmxVfb8fwfeqagCj/xWPHIOpafB+Ga7COeRUnL2Oxczc1mtb68Cb+79/9nuC+9idOvCWw5oH3jY68wy2Ou8nbPf73zD56COB0jnwpuuNRUREhsm6Gehph+62tXoM1I+HQAiTTnn1fq31tjqEqlZedKHwO5JsIoZ9/WnMJttDdT3GmNVtm+7Q78AbAFW13oUjna3e7+vG6MBbDonWVpY8+DATP3lQ7+G2bG3FQNcbi4iIjAJrrVfLt1/wBbDQtgSapngVHQJB77CVMd6HjDgTisAndve+4Vj5Z7x2m13zwNvKPb4YB/eBP0Pbch14G0CooYEpxxyNLxQcsK2Y6dtNERGR4XBd6GodeExXi7c6bBxvpVfBd1SZYLg3+GZr6z3wtsEmvYfbsrVJdtlCbqkEX9DKr4iIyDBZcAe5MjcRU0mzImOi1Th7H4sJhgdsk/Kj8CsiIiKDssk4pHOUsfIHSjIwZptzKX4esm4UfkVERIbL8Q+8+huKlH4p33QK947Ls3Y5n/qat6dZpARoz6+IiMhgrPX29q76WPMwlOODqvqBX1/ViHF0fbFIMdDKr4iIyEBcF1Jx78O6XtgNRLxyZY7jVQ8IV3k3ivW0rfViA3Vjc9f5FZG807+NIiIiubiuF2itu0ZbBhJdkPZDuNYLwI4PW1UH0VqIdXpbIPwhCEXBOBjV8hUpGgq/IiIi2bjuyksp3Oz9mTSkExAIgzGrtzVUN+RvjiKyzvStqIiISC7pxMD9yZguQxApMVr5FRERyWoIoTbXqnA58ge8qg45+kRKhcKviIhIVkOoTVZBN7WZYFjlzKQsaNuDiIhINgbwDbKi6Q9XVAAWKQcKvyIiItkYB8LV5FwBNg4EIwq/IiVG4VdERCQX43gXWKy9AuwPQrQOVMJMpORoz6+IiEguxoDxQbhmZYMFjLcYbBR8RUqRwq+IiMhgtMIrUjb0b7OIiIiIVAyFXxERERGpGAq/IiIiIlIxFH5FREREpGIo/IqIiIhIxVD4FREREZGKofArIiIiIhVD4VdEREREKobCr4iIiIhUDIVfEREREenltrfhtrcN2laqFH5FREREBPBCbufF59J53ndx29r6tp27uq2UKfyKiIiICG5nJ91//C2pxx8h9dzTdJ7/XWysh86Lz/Xann+arl9fiNvZWeipDovCr4iIiIhgolGip5yJaWgEIPXc0zQfsCupxx/x+mtqiZ75VUw0UshpDpvCr4iIiMgosck4NpMZtK0YGJ8PZ+Ik6q+7FVPf4DVm0l5fTS11f7oV35QNMD5/AWc5fAq/IiIiIqPAdrSSuf5iaFnaG3ZtRyuZP/VtKybG58PU1eGbMrVPuzNhEk5DY8kHX1D4FRERERlxtqudzJ8uhAXvk7nmAi/sdrSSue5CWLiyrW051tpCT7UPt72Nzgt/TPr1V/q0Z+a9Ree539GBNxERERHJwvFhxk3xfh3rJnPVeWSu/Am0LPXa6pogFMEYU7g5rmXNA2/gbXWoPu/nffYA68CbiIiIiPRjotU4x56J2XwHryERg84279cTpuI77QeY6rqCzS+bNQ+8rdrjGzroMG8P8Mq2cjjwVvobN0RERESKkIlW4xxxCpm5c/q0O4ecCNHqAs0qtzUPvNlMuvdwW7a2UqaVXxERESkaNhHDppKDtpWC3sNta3Fvuxyai/fAmzNxUp+Qm62tlCn8ioiISFGwiRj23ddh4Xu9YTdbWymwXe3e4bZVe3zHTcFstKX361h30R54g5UVH9YKuava0q2tpFta+vSl29r6tRUzhV8REREpOC/kvoa98xrcWy6Dhe979XDXbiuVAOz4MONXHnibMBXfGT/C+czXV+8BLsIDb4NJt7ay6Ec/Yv7pp5Nubvba2tpY9IMf9GkrdqW/di0iIiKlz3Vh6QLAgpvBveVSzJY7Yl97rrfNrliEmTAVAsFCz3ZQqw68uY/dg7Pn4b2H27K1lYJMRwfLf/c7Oh98EICPzjiD6X/5C4t+8AM6H3oIgAXf+hYbXHEFvpqaQk51UCafy+2zZs2ys2fPztv7iYiISOmw8W7sU/djn76/X585+ETMJ3bFhKMFmNn6s/EYJhwZtK0UpBYv5oPjjye1aJHXYAyszJFObS0b3n47wenTMf7iWFs1xsyx1s5au13bHkRERKQomHAVZs/DYfKGfTs23Q6z9e4lFXxtJoON9/QJudnaSklg4kRm/POf+CdO9BpWBd+amqILvgNR+BUREZGiYBMx7LxXYeEHfTvmvQqLPyyZ/b42k4Hli3BffQ4b687ZVoqcaJTglCl92vxNTfiamkoi+ILCr4iIiBSB1QfergVWbslcdWBs5R7gUjjwtirkpn/9bdwbf4378jPYeKx/WwkG4HRbGwu//316XnihT3vyww+Zf9ppJXPgTeFXRERECm/NA294e3ydU3+E2e2Qlf0Z7PJFkEkXbo5DkUrgfvgO9HQB4P7lUty7biD962/3ttlXnu7dMlAqMp2dLL/sst7DbU5tLVP++EcCkyYBEHv1VRZ861tkSuDqYx14ExERkaKw6sAbtQ29h9t622rqMVvvVhL7fm2sG/fFJ3Fv/n2/PrPNLvg+/01MVW0BZjY8qw68Zbq62PD22wlMn05m+fI+bcW07zfXgTeFXxERESkaNtYNxvQJudnaip2Nx8jceT32iftWNzaNx3/ulZhQaR54Ay8Auz09BKdN6w252dqKQa7wWzwzFBERKTDrZnL/ONoYjOPL74TKgE0lIZWA9mbvz7ZuDASCmGAo63gTqRpSWzGzmQy0rcDOebxvR/NS3Befwtl215L7nFYJTJyIzWQwPt+AbcVM4VdERGQVa2H5h9n7xk7P50zKgo11Y5//D/alR2HVQTV/ALP17rDboSUbAAey5oG3VXt8aRwHLcsAbw8wnFPSAThbyC2V4As68CYiIiKjwMZ7sI/fjX3+odXBFyCdwr74KO5Dt45YxQObiGN7OrN/JOIj8h5DttaBN7PNLvjPuwrnpK+vnm8JHngrJ1r5FRERkZGXjGNffTp3/zsvw55HwkisfmZSuH+/NGuXc8I5QHj47zFEJhzF2WYXOOnr2Nef9w63hSI4O+wJsLotWj2k59lkot8WkWxtMnRa+RUREZERZ99+afAxrz2Th5nkn4lU4eywJ76Tz+mt6pCtbTC2pwv73MPYns7+bd3FX1KsWGnlV0REREbeULY0xLuxrotxym8tbrgH92xPF+7//RX72jOY917H+fTZYMzqtndfw/n0VzFVNSM57Yqg8CsiIhXLrrwwwfj0v8MRN2UjeG6QMRtsUpbBd0SkU9j33wDAvv8mmdsux0SqsHPneG2LPoB4N4xQ+M20toDj4KurX6OtFRzTp60c6CtOREQqks2koasVO+8FbGqNQ1FNU6FhEoyZ5lV4WPVhTIFmWprMhKkw0L7WYBgzfbP8TajUVNfh++J5sGqLxIdv9QZfQmF8Z5wL9WNG5K0yLc0s+fIXWXHRz8i0t61sa2HJl7/Qp61cKPyKiEjFsa4LPR3Yj173Dma9+xI2lfDC8NynsG8/h503G6zF+Pzeh2r8rptQFOe4r0Igy8EsfwDnuLMhWLqXPYw24zhQPwbf6T/q1+d89pswdtKI/MTC7epi6Xe+ReL11+i+715WXPQz3K5Olnzli71tbVdfWRLXFg+Vwq+IiFQc4zgQqYbIyh8Zp+Je4P3o9dVjxkwGLfauN+PzwZiJOF84H7P7YTB2shfYdj4I5wsXwPgNiuo2sKIU78F99J5+zfbxf0GiZ0TewoRCNP3gx5gqbz9y93338uGuO5J4/TUA/BMnUXfKafhqymdvsa43FhGRimXTSewHr0Ks76qWmbgRNE7E+AJ9x7sZcN3sD3McrQ7nYDNpSMTAAqEwxh8Y9DXr9PxEHDKp7J2+ACY0cqXObE+X9xOBNfbaZmsbifdZdbgNgEAQHAdW1i02G26B8+mzMdHhv6dNpUh+8D6LTjoB27M6VPsmTmTyzbfhnzBx2O9RCLreWEREZG3GwTRMwPYJvwYaJvQLvoAXfBe9nf1ZkzYFhd+sjM8PIxDScj4/FCYftXxtTxfuo/diX3oa39d/hqmpX9n2b+xLz/S2jYg1Drz17vENhshc9zPo7sAufN+rqDECf64mEMA/dhy+MWNIz5/f2x6YNh0TLc1b6AaibQ8iIlKReg+8LZq3dg923py+h+CG9kRsOtX3w81gM2lsKpH9Y2W1CSl+Nt6D+9wjuHffhP3oHTJ/OM9re/TfuHf/2Wv74wXY2MhsR+g98NY4zgu+Yyd6e4DXbBvRA29f6BN8AeLPPsOKCy8ouwNv2vYgIiIVx7oudLdhP3hldeOYDaC7FWLetbQEwpiZs/r8iN6mU7lXfsdvBEvf79s2aROwrnd4LgszcxYm24EwKUq2ZTnpS74NLcu8hlC4dxsCjoPvrAswm34CExqZg3zWdSGT9rbUrDzclq1tONyuLpZ8/Szizz0LgH/SZBq+cQ4rfnYettur1Vx3ymnUf+WrJbfvN9e2B638iohIxVn7wJuZuBFm/HTMjG1Wt+nAm6zFNI7F/73fQuM4r2FV8DUjH3y9xzqYQLBPyM3WNhzWWhrP+S6mqgr/pMlM+uvfiO63PxNv+EtvW93J5XXgTXt+RUSkIhl/EGZsDZ0tUNu0Okz0aRvZg1lSBiJVmM23wz714Oq22nrMxluMaPDNB7eri9h/HiT25ONMvOo6nPp6nPp6uv99D/Fnn+ptM9UD1GsuQQq/IiJSsYw/iK0b26dKQ7Y2EWD14bY1gy9AewuZy340sgfe8sCEQgQ/sTWtl/wcNxbDbV6B29FBZuECANxYjNrPfg7/hAkFnunI0rYHERGpaNlCbs7g6zheVYc+H5t4+31tjhJoUhZWH3j7s9fgODjHnt67BWLED7zlgQkECEybwfi/3kbypTmk5r7ZG3wBqg89gtD2O+BUldfKr8KviIjIEBnHh/EH+nyA8Q66Lfuw0NPLK9vTie1oYc2D89nayoUJR3G23RWaxvcebnP2O2r1HmDHwTnsRHBKa6O4CQTwT5pM9MCD+7T7p00nst8BZRd8QdUeREREhmWwiy+wFtxMjn7fiB1cyifb04l755+wH76N7+wLvZJbsa5+bcaUVhAcCtu6HLv4Y8xGm/fu8c3WVircri667/8/Wi88r19f5OBDafzx+fjq6vM/sRGgag8iIiKjINtqcO/HynBrAqHsH6UYfBNx3KcfxL72LHS2krniXFixxAu+q9pu+AWkc9y4VuJMw1jMxlv2CbnZ2kqB29VFz8MP9Am+VZ/+bO9Vx7EH7qPl5z8j09FRqCmOCoVfERERGTITCuPsehBM38xr6Gwl85tvesEXIBzB97lvlfVtdybYvzZztrZit+rA26qw2/TzX9NwzvcY/9fbetuie+6D8ZVXXNS2BxEREVlntruDzE2XwPw1bsgLhPB97WIYMwnjK9/wW05sKkXqow9IvfMOkb33wamqztpWinJteyi9n7eIiIhI4RkHE62mzxKa3w/BsLfXWQZlrfUuygiFe/dHZ2sbTasqPvgnTuoNudnayom+OkVERGSdeAfersO+9VLfjli3twe4bUVZVnwYSdZaaF1O+tIfQMsyrLVZ2/LBBAL9Qm62tnKh8CsiIiJD1ufAG0A4gvPFc/vuAS7jA28jpnUFqV98C/veXFK/+Ba0LIPW5X3bWlcUepZlSdseREREhmmwcmfldFvcqgNvmXmvwZKP8J11IYyZhO/kb5P5y2+9tjI/8DYiAkFM4zhsy3IvCF/4NTBARxsApnEsBHS99mjQgTcREZFhsukULHo7e+ekTVdehlFebHcHxLqhYVzv4bZsbZKb7Wwn/ccLsO++0afdbLQ5/q/9tKSuSi5GqvMrIiIiI8ZU1WLGTOwTcrO1DYdNxLGZzKBtJau6Ft/nv9Gv2fe5r0N1XQEmVBkUfkVERKTo2HgMO+8VaFnaG3Zton9bqeo93Pb7H/frS//h3LweeKs0Cr8iIiJSVGw8hn3nJdy//5HMNRd4YTcZx769VlspB+C25pUH3ZYDYKbNxEyf6fWtPAw3EgfesgXoSg/VCr8iIiJSXKyLff15sBbiPWSuuQD34X/i/vOq3jb70TuQSq5+STI5wAOLkD+AaRwHgNlwM/zfuhj/N3+O2XhLr20EDrzZrg7s/PewifiAbZVG4VdERESKiolU4Rz9Bczm23sN8R7sMw96wRdwDv08zNwaE44A3kqx+/aruCtXUUuBqanD/9ULcPY9Ev/Xf4apqe/bNswDb7arg9TVvyT5ky/jvvcWNplYq21uxQbgYVV7MMZ8C/gCYIHXgNOstTn/JFXtQUREylEllTrLJ5uIk7nix9CytLfNbL8XbLQNqRt/R/C8P2Cqa3Ffn0PyNz/GjB1P8PzLcRrHFnDW68bGejCR6KBt6/TMVJLMs4+SvurnXoPPT+Br55J5/EHcF5/22uoaCf3uVkwovN7vU+xGvNqDMWYy8HVglrV2K8AHfGb9pygiIlKajOPD+APZPxR814uN92DfehFal/Vtf3M2prYOM2kayZ9+jfSDd5L8zY+9rRLLFpOZ8xQ21lOgWa+7bCF3OMEXwASC+LbfFd/hK2NZJk3qd+evDr5VNQTP/T2UYQm+oRjutgc/EDHG+IEosGj4UxIRESlN1lqsm8GmU94BrXTK+32FHzBaV17wfQn39qt6tzpQ1+j9M96De8ulBI4/FTN5Gulbrwbrrbr7T/gi/t32H3Z4LAemqgb/USfhO/CYvh2BIMGfXYkZP6liazGvd/i11i4EfgPMBxYD7dbah0ZqYiIiIqXEui6kk9C2FFoXQ/sy759tyyCdwtoc2yKkD+u6kEljX39u9R7fI07B9/VfYTbd1hsU78Eu+gBn8217X+fb7wj8nzwGU1WT/0kXK2uxyxf3bUunsa3NFX399HC2PTQARwEzgElAlTHmc1nGnWmMmW2Mmb18eelsRBcREVknbsYLvpl03/ZMymt3S7gsVz65Gehqx9n3aMym2+J88jMwZgLuP36Ps9+xmE23xzn089hEmvTfrln9stdeKKntDqNt1eE29+Vn1+pwSf3iO94huAo98DacbQ8HAB9Ya5dba1PAncBuaw+y1l5rrZ1lrZ01dmzpbEAXEREZKutmoLt1oBHQ3e6tasqAjD8ATRPA58c54Dioa8De/xdoX4H78Tycwz+PG0+S+tNvvZXhlQe27PIlJH/6tZKq+DBabCpJ5qVn++7x/fWf++4BvvxnhZtggQ0n/M4HdjHGRI0xBtgfmDsy0xIRESkxyUFW0RI9eMWRZDDGH4AxE7FLPsQ+fhdgwTg4m25P4rfnkrruN2At/hO+SPiqO3svhyjFA2+joc+Bt6oagj+9EjNhircHeFVbBR94G26ps58CJwBp4CXgC9baRK7xKnUmIiLlyGYy0LJw8IFNk1X9YQis60JHC+7tl0O8e3VHbSPmkNNIXnouvp33wX/gUZiqGmx7K4lffrdPm4Dt7oRUCjeRxIQjOHV1WdvKVa5SZ8MKv+tK4VdERMqRdTPQumTgfb2OH+rHV+wJ+6HKGnwbxkNHs7efurYR54gvYv0BnDUugbBdnWBQ8F2DTSZJL/iYttNOILjnPtR891xMNEr64/l92so1AI94nV8RERFZyTgQGSR0RWvB0f92B+VmINYFqZU/SJ66Kc5xX8U56kvg83vB+Jn/wwSCfV5mqmsUfNdmXdrPPh3iMZIP30/nry8k9epLtJ12Qm9b4tGHscmcP7QvS/q3UEREKkZv/d1sH8Mo/WSMgXAVBHPclhWMQCjijZOBJeK4776OOeQUmLEFzoEnQjqD+94bq9v2PR4TVi3fQTk+6i+/DlNVBUDy4ftpP+s0iMcACB1+DKF9D8QEQ4WcZd75Cz0BERGRvHEz2BcfztpltjsAi8X4g1n7B2McH7amyaufGuuATMZbqYzWgE83vQ2Fjffg3nsT9rXnYMf9cHY9CKwl87fL4MO3vbbdDwZ9EzEkJhDAN20G9dfdQuspx0Nq9Td4wU8eTvU3votTW55bHgai8CsiIgKQSmA//gCmbdnvR+p2zdq9ji/nCq5xfBD0Yf1BvMoOBqOtDkMXimAOPgnb1YF94REyLzwCgNn5IGxPN3bui7DXEblX2KU/a7GpVP9CI8nE6tvzKozCr4iIyCqti7GZJGy0HcYf9Ko4JLqgs8W7vc3xQ1U9tqoO48v9v1AF3vWUiMP8d/Ed+yUyd1wDH87F7H8cpqYRZ4e9oKoWaur15ztENpkk/f67tH3p5H43uiX/9zCdfj813/0JTl19YSZYIPrqERERWVNHM6SSXvBtXQQti73DV9Z6t7V1LIdlH/VdDZZhs/EY9o3ZZK76Kenf/xDfYZ/HOfJ0TDBC5oZfkb72YrBWwXddWJf2b32lzx7f+htu67MHOPHof3TgTUREpBxZNzPkH/ParlaId/WtMbumTAralunGthFlydz/N+/vaOlC0tdciF26kMwtf+htc19/HtvdUeiJlo41DryFDj+G6m98F/+mm1N/3S29bZV44E11fkVEpCLYTAqSCewr/8vab7baEzvXuw7WbLE7dLWsLreV/RUwcaMBtz/IurHtLaT/8GNY9FG/PueoUzBNY7HvvY5z9BdU7WGIbCqF27wcE63qPdy2Zps1BgM4NbW9r3E7vW8w1mwrRbnq/OrfWBERqSAWs82+/ZsdBxKx1b8PhiGVHPRZlXpgaNTUNuD/1i9Jn/9F6OnqbXb2OxozdSPcf/0Z35fO04G3dWACAXwTJmVtczs76bnnDozPR/Two3FqanA7O+m+584+beVG4VdERCpHy6L+bU1TwPFBIIjZak/AeB9jp4J1YcXHuZ+nklsjKxHHvv0qxPpuN3HfeAH/Acfi+8pPdeAtB5tOQ7zH+zoOhXO2rZLp6KDnX3fS8dtf9rZFj/oU3ffcsbrNGKKHHolTW9orwGtT+BURkcpmDMx/I3vflM1yvy4U9XKyjIjeA2/X/3L1inoo7FWAWLqQ9O9/iP9bv1LwzcKm09jF88k8dh9muz1wJm6Aqa3DLvrIa9t+T5yxE3HGje99jfE5+MaO877+raX9kouJPfB/JF99eeUA4/WvvI7bJuL9AnS2tlKgryAREZGccqRbY6B+PMbRGtLIWePAG+Ac/yX8P/8LTJrmdS9diDv3RWwyXsA5Fhfrutj2ZujpJPWH83D/czd23usY43ptl5+P+997cJ+4H3fZItzWlt7XOlXVhPfYm4Zf/Lb3JxhrBt/GX/+e0K6741RVYTvaSd7zD9z2ttXvnaWtVCj8ioiI5OL4ILLWnsdQFMZNB1+gIFMqVyYcxf/1i2HSNJzjv4Sz6wGYaDX+b/x8ZduZONvsitF+X8ALvrQ34173M9y7ryPw1fNxZu2Jb4ddca+/CPfOawl89XyoqYdMGlNdA/6+tww6VVWE99yb4Kyd+rSHdt7NC75RL/jG/vBLEldfRuznP8Ztb/PaLv+V13bxj0suAKvag4iIVASv1FmW0mSuhfmvZ3/RtK28AGyt91rjrRmpwsPosT1dYAwmUjVgW6WzqQTuny6EpQu8hg23wNnzSNw7roKudq9t90NgyiYQqcE0jcWp6XuVsXe47Y4++35Xqfvej4kefjTEe+g+87PY9lYAfNvthKmuIf3Ef72BkShV19yKb8q00fpU15uqPYiISEUzjg/w9Wu3duCqDt7rJF9MtHpIbRXPF8A54eu4118I3Z3w/pu477/Z222nboKz2SxM4zhsLN4v+PY78GYM4X0PILTdDrixGO2XXAzGEDnkCKJX30rq0YdIXnMZmZeeX/2QSJSqP9yIM75vNYlip20PIiIiIiXGOA7Uj8E541xYq+axnbwhzgHHk/rND0n99Y+4SxbgLlva9/U+B9+48d5+35V7fOvP/RmEQvgaGqj9xne8A2/WJf7U47g19QS/8PU+z4he/HucaTMwgdLaAqSVXxERqWzG8bY35OobhgFvlTNGq8oyfCvDax8+H1jAdbHP/hcXYI+DIRDAaWgEVh54230vGn55KcbnI7jDLOKPPEzHL38GxlB/wc8J7bwbsYfuo/3i88EY6n54PsHTziJ545UAJP52I5EfXYypq8/nZzxsCr8iIlLRRnX/rrWwvP9tZQCMLb49klI6eg+8XX9Rv7rIZv487GN3EfjOL0j95oeQSeU+8Lb7ytrWbgabyax8uKXtgh8R2uX/SDzzZG8bmTQEghCJQqyHzAtPE/v5j4n86GKcEgrA2vYgIiIiMgQ2lRpSW15kUri3/X714bbpm2FO/SFUraxO8v6bMO9lAl87H//Rp2Q98AbeCrBTVYVTU0v0kMOp/cF5Xoe1q4MvUPf9n+DzGQI77krVtX/D1DV403j9ZWxn+6h+qiNN4VdEREQKxsa6sR2t2T/WWtEsJLetldSc53E7Owdsy5uVB96oqoHpm+EcfzaM3wDnjJ/0tpldD8ZM2RDTNC5r8F2bU11D9LCjCO6wY5/20B57E9puFoFtZ+FMm4EzYTLRP/4ZM3Gyd+BtQmkdeFOpMxERkVFiM+kBtz2oZBrYjlYyv/lG1j7fd36PqW3I84z6c9ta6Tz/e4SPO4nUogVEDjwE4/PRed53+7T5GpvyOi/rutDRAsEQJlqTs22o3K5OYg/d7+3xXZMx1F90CeHd98Kp8a46tpkMpNPgczD+4jzwlqvUmVZ+RURERHKwqRTpN18jfNxJxJ54lI5LLqb1e98ks2I54RM+T+zJx7y273+TTFtrXudmHAdTP6ZPyM3WNhRuZ//gG9xxF+8X1tL2k+8Rf+oJ3K4u7318PkwoVLTBdyAKvyIiIiI5mEAA/zY74N9kM+KPPQJA8qXZtP/8Anruu5ee22/z2l57hczSJd7KawFl+4n+0H7Kb1cfeAPqf/YrGi/9Y589wGTSeGUkSpt+3iIiIjJajMld1WHt8lRStJyqKjIGmq66keavnIa7YjnJl1+El1/0BgQCNF19I/5pM7z6uwVi25shncY2jO2dR7a2bFYdeANwolWE994PJ1rVv6269C8cUfgVEREZJarjWz5MMkni3jtp+uN1LP/M0X36Gi68hMDmW+GEQoWZHF7ITf/2+5CI4f/updjGsdDZ2q9twABcXUP04MPB0Btys7WVOm17EBERERnAqgNvge12pPuff+vX3/2PW7DdXSP3fh3tuB3tg7atYmPdZO6+CZYvgo5W0r8+BzvvNS/4rmzL3Ho5JGKDvrdTU4NTvXq/sBuLYcLhfm0FK/E2AlTtQURERArGxrohlczeGQhiIlX5ndBabCpF6oVnsBmX2BOP0nPH370Ovx8TDGJ7egAIbj+Lhl//AV/98KpTuB3tdF/1OzCGqi9/A6e2Lmtbv3l2tZO55mLsu6/3f+jkGfi/ftE6V85wYzHSr76IM2YsvqneNcbZ2opVrmoP2vYgIiIVwbtq2AU3411bbBxwfBjtvS0oE6mCAgfcgaw68Ga7OolftPLwVyBA01U34mtsYsWZJ3t7gFceeHNq69Z736/b2UHP9VeSuOsfvW3V3/g+3Vf9rrfNBAJEzzirXwA21XX4vvQT0pf/BOa/u7pj7ET837gYU1O/bnOJxUi/Moeu754NoTC11/wV3+QN+rcVeQDORtseRESk7NlMCpoXwoK5sPBt759L3oV4lxeK1+uh1gvTefwJqhSGU1UF1TWMueFWfBMn0XT1jQQ23xIzZmyftuEeeDOhEKGDDoeVe4cTd/6dlmMOXB2GQ2FCBx2OCYezPyCTgu61LtyI90Aise5VKNIpkg/dC5kM9HTT8aXP0fOnK73gu7It9fQT2Hh8HT/LwtO2BxERKWs2k4al70Eyx/+kx82ASM3QV4BXrR6nkoD1VpADoZWryVpFLmfWdbFJb4uGszKAZmsb1nskE6TnvUP7WadAIrG6IxSm7sqb8M/cBBPsf7Cu98Db8kX9H1rbgP+7l8IgB97W5na00/3bi0g9fH+/vvAXziZ8/Em9l14UI11yISIilSnelTv4AjQv8MLsUPx/e3ceJ1dZ53v88ztV1dV7ZwUSliQgOFx0BGkhgWsGhESQuRAd1jiyDGEGWQYuuco6DgMOi058vWQkckdkBh1BHVAHQZSgFx0XliRssgjRCUJWsnWnq7eqOr/7x6leqrt6SXent/N9v15Fqn/P010P53VO969OPb/n8RDamqNHmIu+L5+NXiPXHrXLpGVBQFBeXpTklooN6zXK0iTmziP5J0cUxZOHH0Fi7rzSiW/3gjeI5vje/k3s0PdFX+9BwVt3QW0dVZ+9mcQhhxXFUwtPouKc88d14tsfJb8iIjJpeT4Hjdv675TPRo8Bf5hHSXRfiXK2FUJNgZDhCRsbyHxlBbkX1xbFcy+sIXP3l0qu+GAVVST+Yhn2nvd1FbdNmU7ir2+MEuD955K4cPkeFw+GLS3kXn6e/PrfF8Wzq58mv3nDhF3xQdMeRERk0vJ8Djb/PkpM+7PfIVj5AGuYeggtu/vvk0hCWaWmP8iQhLsbab73blq/8+9RIF1OxdILaXngXzunQJSf85clC94gWvGB0LHaKf3GBjWW7gVvhZ3fbMZMfNu7UYfKqnFf8KZpDyIiEj9m0XzcgSTLBu4zmJtFYT42BXDe1oo3NeC7tkf/7uFH6oN+nZYM3rij9KMls1dec6wUFbwV5vhWXnAJdSvvL8TSpBef1mfBm1XX9UpyS8UGJZel/YnHOhPf8mWXM+W7j5NadGrUPoEL3rTUmYiITFoWJPC6faG59OYAAKSromK1kXlFmOQ3fd0dGncSPv4g/sIvIZeFZAo78niCU5dCzZSR3eI320b+tstKNiVuWDmul0nbU1aWJnnoYVGyC53FbV0xJ3noe0vO+x1pQU0tlVdfh+fzJObMo/ysT2Ll5VQtv4kMkJhzMOklZxHU1Az4s8YbJb8iIjK5JVNQOxMa3+3dlkjCzIOwxGD+HFp0J7m/O7uJFJM++929i/xd10HDjq5YLouvfor8Gy+SuOpOqJs2duOb4DqS3Y7nfcVGQ1BbR9XyG8Gss7gtit1UFJtoNO1BREQmNUskoW4f2O8QKK+GIBlNc5iyH8w+rJCwDuYHGaQq+usQ/dxJPN/X29sIf/pwceLbXeNOwicfwtvbSrfLoFhZuleSWyo2GoLaul5JbqnYRKLkV0REJj1LJKOCtplzooR31nugdiaWSA1+fV8zCBJQVkGvu7sWQHnVpE58AWhvxZ97qt8uvubn/S8tJ2MibGwgt3EDYbe1g0vF4kDJr4iIxIYlklgyFSW9g52X2rGpRVsztDRCPhfdQU5XQboyel5eFSXGkz35DX3gxLa9DfZ0NzHZq8LGBhrv+xqbl5xK9nevEba39Y61tRE2NhLu3t3je3vHJjolvyIiIn0Jw6iga9dWyOyKEuDMLti1GVozYIlC0huTP6eBQeUAS8KVV8JIFrzJsHg+R9vaNTT9273Q3s67y86n/cUXaLzva52x7cuvhJZmWr98O9nHvteZ7IaNDbTedUdRbDJQwZuIiEhfPITd20u3tWWiO70V1fFJftOV2ILF+E+/12cXm78I0v3Njd5DqXS0qkMfbdI/SyRJf/Boqs5ZSuY7D0B7O9suuaCrQzLFvv/+H7R+5YtkVz1GdtVjAJQtOZvWu+4k+8SjZJ94FJIpyk75X1j1xFvdoSclvyIiIqWEYbRtcX9aM4W5vqMzpLFmqRTBh08j/8pzsPnt3h322Z/ghNOx1CDWTR7sa1ZUTarlzMZCUFtH3eVXQS5H5uHvFrXN+OrXsYpKUgtPIvvkjyAMaV25grbvPYhvLmyXXFFJ8qh6SI/MFs5jLSZvVUVERPaUQ3agQiCP3fxWq64jcek/YKecC9WFXcaqa7GPnkPisluw6t47j8k4Ud7jjrwZVlYG6TTJ+gVU3rKic8pK98S3euU3CMbxTm57Snd+RUREZI9YdS3BCUtg/qKuYHkVlhxcWuHtbb2W7SoVk5HRUdyW+db9xQ3uvHvJ+cy89xuk3ns4yfr5BHMOJvzvdZ1dUsctJJi1/6RJfEF3fkVERPpgkBrgY16z2BZ3WTIZbZ3b8Rhs4tuSwV9ZjXdbK9hbmnvFZGQUFbwBJFNM/+d7qDr7vOjrbgVvLSs+X5T4AmR/+mPaH3loUhW8xfOKFRERGUhQWLu3P+XVk395sxHkLRn8xd8Q/uud5O+6AW/Ygbe14C/+uigmI6d7wRvJFDPu+TrpD82n7oqrO2PdC94AqKik7MylnW/sWleuIPuTH+JNkyMBVvIrIiLSFzOonlY6wU1XRY+4rPQwIozwqUeip+9uJH/XDYSrHiZ84K7OmP/hNe0QN8KC2jpqL72CfR96hLIj3k9QXl4Us8qo4I0g6JzjW37JVV1zgCdZwZt5f3uUj7D6+npfvXr1qL2eiIjIkIV5aNwOiWS0nFk+B/lslOymyqOvU+nYTnsYCm/OQK6d/N2fg01v9WoPlv4t9oHjsIrKMRjd5BVmmsj+4mfYrNmkDjscq6zqFQMjt+ZpgtkHdBa3eXNzr9hEYmZr3L2+Z1xXrIiISCn5LIQ5yLZC47Zog4uOTS8at0FmZ7QOsAxK2LCL1tuuJ9y6hcTf3tZr+TJbfBZ21PFKfEdY2NRE9qknydx6A02XX0T7M78ibM6QfWpVUczdSdTPL0pyrbKyV2wy0GoPIiIiPXkIbS3FsVx7737ZtujOsPTLdzfQett1hC+vJZy/ENv6FrRkivs8/yv48Gkju0GGgIeEmcJ61e5kblpOasFCsr/+eWeMTAY8JKjovYFFMAnfjOjOr4iISE/e+R8ZEUZw8GGkL11OUJki/PbdXU3lheSqMAdYBW8jK6ipJf2xM6i46too4N6V+AJVN9xK6sRFBJNg57bBUvIrIiLSkw1imTOA5MjtZDaZWU0t6aXLSH74ZPzZn3bFl1xM4tq7YNacKKCCt70iqK6h/PS/IHlk8fTX1HF/RuojiwmqqsdoZGNDya+IiEhPZlExW3/LmCVSKnbbA1ZTC5VVBOddBbPnYksuJmxqJfv8cyQuvwVmz40K3v7kKG12McLCTBPtP/sJuReKFx3I/uYXZJ/5VVSIGCO6akVEREqxAGpmlE6AgwTUTIv+HSJvby084nGXM2zYRcvnrqbl89cSXHQdYVMrbfesoP2fbyfcupnEVbdrpYe9ICp4W0XmH/+uM9Z5B7gwB7j9mV8RZuKTAGuWvoiISClmUTFb3T7Rig/tbWBAWSUkU0NOfD3bhu/YhL/zO2hrhfJK7MDDsSkzsdTkvOPZveANoOX6ywnmvSdqzLbTsvwSKu78vwQHHzqGo5ykPCxKbKtuuJWyj3yU1h8+TMuX7ywUvDXFauUSJb8iIiJ9MQNLRAlvqrAKwTCmOni2jfDlX0TrB3dob8Ff+SU+bRbB4fP7TYA9zEerJIRhYWvlBFY5EeZrRgVv4ctrsanTqbj9bqy6lrZv/Qu5H3wbq67Bpk6FQW6RLIPXUfAGEFRWkTpxEVZZSfq0JWBGUFlJ6sR4zfvVWSYiIjIQs2FvY+xhHn/7jeLEt7sdm/Ctb8Psg7ESu8Z5Swb/7dP4009A064ouP/BBCedBTNmY+N4962OgjerriF18mnYzP2wICB93jKsqjgmIy+oriF96ulRsltIckvF4kI7vImIiIwCb28lfPZHpdcL7lBeRfDBRVhZcSLrLU2ET3wbXn2u9/eYYWddjs09HBvnaw57pgkqKouS3FIxkZGgHd5ERETGknv/iS9Aax9FRw3bSye+hZ/rj97fe1OOcciqqjuTXHcnbGnBg0SvWNgS/b94SzOezxf9jFIxkT2h5FdERGQ0mBFVzPWjRBGdt7fhzz7Z//c174btW4Y+tlHm7mQ3buD3ixfR8vzzURLcLda8di357dto+fur8S0bOpPdcEdHbKMSYBkyJb8iIiKjwQKYPqv/LvvOhaDH1IV8Dt+9K3qeSsMHjsc+uhRbfB68f0G08gTgHfOAJ4D8zp2sP/NMshs38tZFF9Ly/PPkNm3qjP3xry6ibd2b2LQZNH/mEnzLBsKd22m58XLC116i+TPL8K2bGM2pmzJ5jO/JQSIiInuTe/SA6KZsiUKzkWKpMoJDjiLcuQXCEnctk2XY3COwniseJFPY1Jl4VR3BsYsIn3uK8MnvA4b9jw8S/OVnCH/9ODZlxl4b+0izRIK6M89k+8qVkMvx1oUXYOk03twMQMWRR5LaZx/aX3sJGhtovuZirKIC37YVgGDKNCivwIZZhCjxpORXRETix8Mo6W1vgVw2iiWSUFYRTT3ollS5e+fSYsMuyiqvJDh6MeHvni1e9WHKPgTvPabklsqWKsMXnIpt3Uj+i8uhvbVrbH98k/xTPyTx6ZvxuukDTaoYNxJ1dcxYdglAlADn812Jb309B371HoJUkmDeoeR3bIPMbjyzG4DgoHmUf/4rBFOnj9n4ZWLTtAcREYkXd8jnobmhUIDm0SOfhZbGKOYhHoZ4th22bcD/+Cr+9ut4pgEfqGitHxYksKo6gvcvJJh/OkH9KQQLziA44nisorrP5NoSScJ7bytKfDu1NpO/9zYsP7E2KQhqa5m2dGmv+NTzlhJUVkbr0155fa/2skuuweqmjsYQZZJS8isiIvHiDq27+25vy+D5EJob8Fd/ib/zOuzaAjs24m88h//hxSgpHgZLpbHySqx6CpauGHBnN1/322hzi77s3oX/8c1hjWk0dRS3/fcnPtGrbeO1n6Wlo+Dtpit7tbd+8SZ88zsqeJMhU/IrIiLxEuYG1cfXPR9Nd+gp0xDdBe6YLrGXuTv+xksD93vz5VEYzcjoKHjLbY3m8FYcXc/UT30qaszleOuiC2lb9ybBnEMAsAPmELzvqKi9sSEqglPBmwyRkl8REYmXfP/JrydS+PaN0bzgvjRs7b99BJkZVFQN3HFCbHMc6Sh4g8Ic33vuYZ9rljP9ssuiWKHgLXztJYKD5lFx20rKb7iDxNELABW8yfCo4E1EROJloBUdzGB38RbEdvAH6LVGb3trNP0hmeq1I9tIC+YvIr/qoa5AMglVtdCwo6vP0Qv36hhGUkfBW9mBB1Jz8iKS06YBFMWCVJLkcSeSOvvCzuK29DU3k33w3qKYyJ5S8isiIvGSLItWdijJob2N3ptRGOGjXyv5HcHHr4C9nPxSXYv96QL8pd9AMkVw8fXYzFnk77sTNq7Hjj0ZytL47gaspm7vjmWEJOrqqDtjCUE63Wes7FOXYpVdd72D2rpeMZE9peRXRETip62P4rF0FQQJbOq+eGbXqA6pP1ZVQ/DJKwmnTMeOOJpwza8JX3+B5Kf/Dn/jRYJjTiT/6AOELz1L6toV2JSJcVe0e+JbKlYqyVXiK8OlOb8iIiIdzLCyNEzZN7pDPI5YVS3BaZ/E315P+PPHYMsGcl+9leCYj0SJ75M/gK0byX3perytxJJoIgIo+RUREenGojnByRR2WD2kK8Z6QEWsqobguJOxA+ZFgS0byP7vs6PEFyCZInH+VXt1pzqRiU5Xh4iISA9mBmUV2GEfwg77UD9zhEef1U4lufwObP+5UaBjua9kiuRnvoAddChWNr7uWouMJ0p+RURESjAzLFmGVdVFWx6PJ8kUduDBxbHySmzmbCW+IgMYP29lRURExqtkKlrVoY+20eSZ3eQf+Sbh0z8rbmhqIHvnNaQ++08TpuBNZCzozq+IiMSLGZTXlH70sWmClZVjlTWlH3t7mbNuvLWF8L9+XDzHd9m1RXOAVfAm0j8lvyIiEi9mEASlH+N8xzArr+gqeCvM8Q3qF0ZzgAsxFbyJ9M9Gc1/s+vp6X7169ai9noiIyGTkjTvxHe9is+d2zvEtFROJMzNb4+71PeOa8ysiIjLBWO1UqKrFEol+YyLSmz4XERERmYBKJblKfEUGpuRXRERERGJDya+IiIiIxIaSXxERERGJDSW/IiIiIhIbSn5FREREJDaU/IqIiIhIbCj5FREREZHYUPIrIiIiIrGh5FdEREREYkPJr4iIiIjEhpJfEREREYkNJb8iIiIiEhtKfkVEREQkNpT8ioiIiEhsKPkVERERkdhQ8isiIiIisaHkV0RERERiQ8mviIiIiMSGkl8RERERiQ0lvyIiIiISG0p+RURERCQ2lPyKiIiISGwo+RURERGR2DB3H70XM3sXeGvUXnDwZgDbxnoQE5iO39Dp2A2Pjt/Q6dgNj47f8Oj4DZ2O3eDNcfeZPYOjmvyOV2a22t3rx3ocE5WO39Dp2A2Pjt/Q6dgNj47f8Oj4DZ2O3fBp2oOIiIiIxIaSXxERERGJDSW/kX8Z6wFMcDp+Q6djNzw6fkOnYzc8On7Do+M3dDp2w6Q5vyIiIiISG7rzKyIiIiKxoeRXRERERGIjlsmvmX3HzF4oPNab2Qt99FtvZi8X+q0e5WGOW2Z2s5lt6HYMP9ZHv1PM7Hdmts7MrhvtcY5HZvZFM3vdzF4ys++b2ZQ++unc62agc8nM0oXrep2ZPWNmc8dgmOOOmR1oZv/PzF41s1fM7KoSfU4ws4Zu1/PnxmKs49VA16JF7iqcey+Z2QfHYpzjjZm9t9s59YKZNZrZ1T366NzrxszuM7OtZvbbbrFpZrbKzN4s/Du1j++9oNDnTTO7YPRGPTHFfs6vma0AGtz9lhJt64F6d9di0t2Y2c1Ak7v/Uz99EsAbwCLgHeA54Dx3f3VUBjlOmdli4GfunjOzOwHc/doS/dajcw8Y3LlkZpcBf+rul5rZucDH3f2cMRnwOGJms4BZ7r7WzGqANcCSHsfuBOD/uPufj80ox7eBrsXCm/8rgY8BxwJfdvdjR2+E41/hGt4AHOvub3WLn4DOvU5mthBoAr7h7u8rxL4A7HD3Owpv/Kf2/JthZtOA1UA94ETX+dHuvnNU/wcmkFje+e1gZgacDTw41mOZhI4B1rn7H9y9Hfg2cMYYj2nMufsT7p4rfPk0cMBYjmeCGMy5dAZwf+H5Q8BJhes71tx9k7uvLTzfDbwG7D+2o5p0ziBKVtzdnwamFN50SJeTgN93T3ylN3f/BbCjR7j777b7gSUlvvWjwCp331FIeFcBp+ytcU4GsU5+gQ8DW9z9zT7aHXjCzNaY2V+P4rgmgisKH/Hd18fHMPsDb3f7+h30R7envwIe76NN516XwZxLnX0Kby4agOmjMroJojAV5CjgmRLNC8zsRTN73MyOGN2RjXsDXYv6XTewc+n7JpPOvf7t6+6bCs83A/uW6KNzcA8lx3oAe4uZPQnsV6LpRnf/z8Lz8+j/ru//dPcNZrYPsMrMXi+8M5v0+jt+wFeBW4n+KNwKrCBK5ITBnXtmdiOQA77Vx4+J7bknI8/MqoGHgavdvbFH81pgjrs3FT7C/wFw6CgPcTzTtTgMZlYGnA5cX6JZ594ecHc3s3jPVR0hkzb5dfeT+2s3syTwCeDofn7GhsK/W83s+0Qfv8bil95Ax6+DmX0NeLRE0wbgwG5fH1CITXqDOPcuBP4cOMn7mHQf53OvhMGcSx193ilc23XA9tEZ3vhmZimixPdb7v69nu3dk2F3/5GZrTSzGZpvHhnEtRjb33WDdCqw1t239GzQuTcoW8xslrtvKkyn2VqizwbghG5fHwA8NQpjm7DiPO3hZOB1d3+nVKOZVRUKRDCzKmAx8NtSfeOmx3y2j1P6uDwHHGpm8wrv/M8FHhmN8Y1nZnYK8FngdHdv7qOPzr1igzmXHgE6KpzPJCoqjP0dksK8568Dr7n7l/ros1/H/GgzO4bo74LeODDoa/ER4PzCqg/ziQqoNyEd+vyEVefeoHT/3XYB8J8l+vwEWGxmUwvTEBcXYtKHSXvndxB6zUEys9nAve7+MaJ5Nd8vXJdJ4AF3//Goj3J8+oKZHUk07WE98DdQfPwKqxlcQXQBJoD73P2VMRrvePIVIE308SnA04UVCnTu9aGvc8nMbgFWu/sjRAneN81sHVHByLljN+Jx5XjgU8DL1rWk4w3AQQDufg/Rm4VPm1kOaAHO1RuHTiWvRTO7FDqP34+IVnpYBzQDF43RWMedwhuGRRT+RhRi3Y+dzr1uzOxBoju4M8zsHeDvgTuA75rZxcBbREX6mFk9cKm7L3P3HWZ2K9GNAoBb3L1n4Zx0E/ulzkREREQkPuI87UFEREREYkbJr4iIiIjEhpJfEREREYkNJb8iIiIiEhtKfkVEREQkNpT8ioiIiEhsKPkVERERkdj4/7r4TfvOPr7LAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "py_x = tf.nn.softmax(jehmo_model(np.concatenate([x_train, ood_x, xgo])))\n",
    "p = tf.reduce_max(py_x, axis=1).numpy()\n",
    "markers = ['in']*len(x_train) + ['out']*len(ood_x) + ['gen']*len(xgo.numpy())\n",
    "plt.figure(figsize=[12,12])\n",
    "sns.scatterplot(*ood_z.T, c=p, style=markers, cmap='Reds', s=100)\n",
    "plt.colorbar()\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}