{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7a27a0fb-7bc3-4f72-aeda-de457fdc8382",
   "metadata": {},
   "source": [
    "# Neural Nets (pt.3), Interpretability and Convolutional Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "58b12f60-2a68-458c-a85a-5c3127d7d9fc",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/tqdm/auto.py:22: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    }
   ],
   "source": [
    "# Ref: https://medium.com/biaslyai/pytorch-introduction-to-neural-network-feedforward-neural-network-model-e7231cff47cb\n",
    "\n",
    "'''\n",
    "Packages\n",
    "\n",
    "conda install pytorch torchvision torchaudio cudatoolkit=10.2 -c pytorch\n",
    "conda install -c anaconda scikit-learn\n",
    "conda install pandas\n",
    "'''\n",
    "\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy\n",
    "import pandas as pd\n",
    "from sklearn.metrics import r2_score\n",
    "from sklearn.model_selection import train_test_split\n",
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "89bdd302-7bd6-433a-95fd-583122e04545",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(66522, 22)\n",
      "          x          y      h     minSVVI     medSVVI     maxSVVI  treecover  \\\n",
      "0  6.894317  49.482459   2.73  176.799316  233.790283  128.065918         61   \n",
      "1  7.023274  49.510552  10.75  495.294678  555.553955  680.410400         36   \n",
      "2  7.394650  49.590488  21.20  172.081299  122.683594  231.771484        100   \n",
      "3  7.396895  49.590968  20.00  278.890625   12.374756   25.781250         83   \n",
      "4  7.397643  49.591128  24.23  305.592651   26.431641   20.360352         79   \n",
      "\n",
      "   forest_height  CHELSA_bio18  CHELSA_bio4  ...  northness  eastness  \\\n",
      "0             19          2251         6208  ...  -0.041041 -0.107523   \n",
      "1             11          2336         6144  ...   0.060015 -0.031948   \n",
      "2             20          2067         6194  ...   0.104165  0.049155   \n",
      "3             26          2067         6194  ...   0.073083  0.041050   \n",
      "4             26          2067         6194  ...   0.042943  0.064307   \n",
      "\n",
      "    elevation  outlet_dist_dw_basin        cti  BLDFIE  ORCDRC  CECSOL  \\\n",
      "0  344.212067                781109 -288081519    1526      12      13   \n",
      "1  367.109863                800307 -155512427    1479      16      11   \n",
      "2  402.408142                624259 -343142396    1531       9      15   \n",
      "3  384.229584                624227 -304025319    1524      10      14   \n",
      "4  382.408264                624209 -316507082    1524      10      14   \n",
      "\n",
      "        SBIO4      SBIO3  \n",
      "0  482.899994  22.400000  \n",
      "1  452.500000  18.900000  \n",
      "2  460.100006  19.200001  \n",
      "3  460.100006  19.200001  \n",
      "4  460.100006  19.200001  \n",
      "\n",
      "[5 rows x 22 columns]\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#What are we trying to beat\n",
    "data = pd.read_csv('./tree_height/txt/eu_x_y_height_predictors.txt',  sep=\" \")\n",
    "# data = pd.read_csv('./tree_height/txt/eu_x_y_height.txt',  sep=\" \")\n",
    "print(data.shape)\n",
    "print(data.head())\n",
    "\n",
    "y_true = data['h']\n",
    "y_pred = data['forest_height']\n",
    "\n",
    "slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(y_pred, y_true)\n",
    "\n",
    "fig,ax=plt.subplots(1,1,figsize=(5,5))\n",
    "ax.scatter(y_pred, y_true)\n",
    "ax.set_xlabel('Prediction')\n",
    "ax.set_ylabel('True')\n",
    "ax.set_title('slope: {:.4f}, r_value: {:.4f}'.format(slope, r_value))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "dc4d4239-13e3-4de9-93d5-adae8af6597e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          x          y     minSVVI     medSVVI     maxSVVI  treecover  \\\n",
      "0  6.894317  49.482459  176.799316  233.790283  128.065918         61   \n",
      "1  7.023274  49.510552  495.294678  555.553955  680.410400         36   \n",
      "2  7.394650  49.590488  172.081299  122.683594  231.771484        100   \n",
      "3  7.396895  49.590968  278.890625   12.374756   25.781250         83   \n",
      "4  7.397643  49.591128  305.592651   26.431641   20.360352         79   \n",
      "\n",
      "   CHELSA_bio18  CHELSA_bio4  dev-magnitude  convergence  northness  eastness  \\\n",
      "0          2251         6208       0.774696    -5.247141  -0.041041 -0.107523   \n",
      "1          2336         6144      -1.088770    44.009472   0.060015 -0.031948   \n",
      "2          2067         6194       0.892866    -2.490510   0.104165  0.049155   \n",
      "3          2067         6194       0.893981     4.893103   0.073083  0.041050   \n",
      "4          2067         6194       0.856278    -4.858290   0.042943  0.064307   \n",
      "\n",
      "    elevation  outlet_dist_dw_basin        cti  BLDFIE  ORCDRC  CECSOL  \\\n",
      "0  344.212067                781109 -288081519    1526      12      13   \n",
      "1  367.109863                800307 -155512427    1479      16      11   \n",
      "2  402.408142                624259 -343142396    1531       9      15   \n",
      "3  384.229584                624227 -304025319    1524      10      14   \n",
      "4  382.408264                624209 -316507082    1524      10      14   \n",
      "\n",
      "        SBIO4      SBIO3  \n",
      "0  482.899994  22.400000  \n",
      "1  452.500000  18.900000  \n",
      "2  460.100006  19.200001  \n",
      "3  460.100006  19.200001  \n",
      "4  460.100006  19.200001  \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/96/dnthcv6d22j1gtb3t_m_txr00000gn/T/ipykernel_84192/3688197143.py:2: FutureWarning: In a future version of pandas all arguments of DataFrame.drop except for the argument 'labels' will be keyword-only.\n",
      "  data = data.drop('h', 1)\n",
      "/var/folders/96/dnthcv6d22j1gtb3t_m_txr00000gn/T/ipykernel_84192/3688197143.py:3: FutureWarning: In a future version of pandas all arguments of DataFrame.drop except for the argument 'labels' will be keyword-only.\n",
      "  data = data.drop('forest_height',1)\n"
     ]
    }
   ],
   "source": [
    "tree_height = data['h'].to_numpy()\n",
    "data = data.drop('h', 1)\n",
    "data = data.drop('forest_height',1)\n",
    "print(data.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a313e14d-7aa0-4e0e-bad7-661503e3340c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Explore the raw data\n",
    "# data = data.to_numpy()\n",
    "n_plots_x = int(np.ceil(np.sqrt(data.shape[1])))\n",
    "n_plots_y = int(np.floor(np.sqrt(data.shape[1])))\n",
    "fig, ax = plt.subplots(n_plots_x, n_plots_y, figsize=(10, 10), dpi=100, facecolor='w', edgecolor='k')\n",
    "ax=ax.ravel()\n",
    "for idx in range(data.shape[1]-1):\n",
    "    ax[idx].hist(data.iloc[:, idx].to_numpy().flatten())\n",
    "    ax[idx].set_title(data.columns[idx])\n",
    "    # plt.scatter(to_np(times)[:extrapolation_points],obs_print[:extrapolation_points,0]*scaling_factor,label='Data',c='blue')\n",
    "    # ax[idx].scatter(time_to_print[:],obs_to_print[:,idx],label='Data',c='blue', alpha=0.5)\n",
    "    # ax[idx].set_xlabel(\"Time\")\n",
    "    # ax[idx].set_ylabel(\"dim\"+str(idx))\n",
    "    #plt.scatter(to_np(times)[extrapolation_points:],obs_print[extrapolation_points:,0,0],label='Data extr',c='red')\n",
    "    # ax[idx].legend()\n",
    "    # timestr = time.strftime(\"%Y%m%d-%H%M%S\")\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "25b00290-4e88-415d-8076-7c9cb42b1280",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,\n",
       "        0.000e+00, 0.000e+00, 1.000e+00, 0.000e+00, 6.500e+01, 1.240e+02,\n",
       "        2.050e+02, 3.430e+02, 3.760e+02, 8.450e+02, 1.115e+03, 1.770e+03,\n",
       "        2.175e+03, 2.876e+03, 3.571e+03, 4.227e+03, 4.866e+03, 5.195e+03,\n",
       "        5.512e+03, 5.437e+03, 5.233e+03, 4.862e+03, 4.215e+03, 3.589e+03,\n",
       "        2.862e+03, 2.204e+03, 1.663e+03, 1.150e+03, 8.020e+02, 5.080e+02,\n",
       "        3.100e+02, 1.950e+02, 1.890e+02, 3.400e+01, 1.000e+00, 0.000e+00,\n",
       "        0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,\n",
       "        0.000e+00, 1.000e+00]),\n",
       " array([-1.  , -0.96, -0.92, -0.88, -0.84, -0.8 , -0.76, -0.72, -0.68,\n",
       "        -0.64, -0.6 , -0.56, -0.52, -0.48, -0.44, -0.4 , -0.36, -0.32,\n",
       "        -0.28, -0.24, -0.2 , -0.16, -0.12, -0.08, -0.04,  0.  ,  0.04,\n",
       "         0.08,  0.12,  0.16,  0.2 ,  0.24,  0.28,  0.32,  0.36,  0.4 ,\n",
       "         0.44,  0.48,  0.52,  0.56,  0.6 ,  0.64,  0.68,  0.72,  0.76,\n",
       "         0.8 ,  0.84,  0.88,  0.92,  0.96,  1.  ]),\n",
       " <BarContainer object of 50 artists>)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD4CAYAAAAAczaOAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAASIklEQVR4nO3df+xd9X3f8eerJmG0DS0MQz2b1VSyqkK0puEr5jXTljZVccJa2B9IjrbiaUhWEZESaT9kNmnrVCG5k1ZtSAOJpRFm64osNRlWKGtdt1G0lYZ+ySBgCMUZLnj2sJt2DfmHDfreH/fj6PTr+/1+77XvvV/bn+dDujrnfs75nPu+5x5eHH/uueebqkKS1Ifv2ugCJEmLY+hLUkcMfUnqiKEvSR0x9CWpI1dsdAHrue6662r79u0bXYYkXVKee+65P66qzSvbL/rQ3759O8vLyxtdhiRdUpL80bh2h3ckqSOGviR1xNCXpI4Y+pLUEUNfkjpi6EtSRwx9SeqIoS9JHTH0JakjF/0vcqWNtn3fU2Pbj++/Y8GVSBfOM31J6oihL0kdcXhHOk8O++hS5Jm+JHXE0Jekjhj6ktQRQ1+SOmLoS1JHDH1J6oiXbEoz5qWcuph5pi9JHfFMX2pWO0OXLiee6UtSRwx9SeqIoS9JHZko9JMcT/JikueTLLe2a5McTvJam14zWP+BJMeSvJrk9kH7rW07x5I8lCSzf0uSpNVMc6b/E1X1oapaas/3AUeqagdwpD0nyc3AbuAWYBfwcJJNrc8jwF5gR3vsuvC3IEma1IUM79wJHGjzB4C7Bu1PVNU7VfU6cAy4LckW4OqqeqaqCnh80EeStACThn4Bv5XkuSR7W9sNVXUKoE2vb+1bgTcHfU+0tq1tfmX7OZLsTbKcZPnMmTMTlihJWs+k1+l/pKpOJrkeOJzk62usO26cvtZoP7ex6lHgUYClpaWx60iSpjfRmX5VnWzT08AXgNuAt9qQDW16uq1+Arhx0H0bcLK1bxvTLklakHVDP8n3JPnA2Xngp4GXgEPAnrbaHuDJNn8I2J3kyiQ3MfrC9tk2BPR2kp3tqp17Bn0kSQswyfDODcAX2tWVVwD/uar+a5I/AA4muRd4A7gboKqOJjkIvAy8C9xfVe+1bd0HPAZcBTzdHpKkBcnoQpqL19LSUi0vL290GbqMXGz32PHum5qHJM8NLrH/Dn+RK0kdMfQlqSOGviR1xNCXpI4Y+pLUEUNfkjpi6EtSRwx9SeqIoS9JHTH0Jakjhr4kdcTQl6SOGPqS1BFDX5I6YuhLUkcMfUnqiKEvSR0x9CWpI4a+JHXE0Jekjhj6ktQRQ1+SOmLoS1JHrtjoAqR52b7vqY0uYSKr1Xl8/x0LrkQ98Exfkjpi6EtSRwx9SeqIoS9JHZk49JNsSvI/knyxPb82yeEkr7XpNYN1H0hyLMmrSW4ftN+a5MW27KEkme3bkSStZZoz/U8Drwye7wOOVNUO4Eh7TpKbgd3ALcAu4OEkm1qfR4C9wI722HVB1UuSpjJR6CfZBtwBfHbQfCdwoM0fAO4atD9RVe9U1evAMeC2JFuAq6vqmaoq4PFBH0nSAkx6pv9vgX8K/Pmg7YaqOgXQpte39q3Am4P1TrS2rW1+ZbskaUHWDf0kfwc4XVXPTbjNceP0tUb7uNfcm2Q5yfKZM2cmfFlJ0nomOdP/CPCzSY4DTwA/meQ/AW+1IRva9HRb/wRw46D/NuBka982pv0cVfVoVS1V1dLmzZuneDuSpLWsG/pV9UBVbauq7Yy+oP2dqvr7wCFgT1ttD/Bkmz8E7E5yZZKbGH1h+2wbAno7yc521c49gz6SpAW4kHvv7AcOJrkXeAO4G6CqjiY5CLwMvAvcX1XvtT73AY8BVwFPt4ckaUGmCv2q+hLwpTb/TeBjq6z3IPDgmPZl4IPTFilJmg1/kStJHTH0Jakjhr4kdcTQl6SOGPqS1BFDX5I6YuhLUkcMfUnqiKEvSR0x9CWpIxdy7x1Jc7R931OrLju+/44FVqLLiaGvS95a4SjpL3J4R5I6YuhLUkcMfUnqiKEvSR0x9CWpI4a+JHXE0Jekjhj6ktQRQ1+SOmLoS1JHDH1J6oihL0kdMfQlqSOGviR1xNCXpI4Y+pLUEUNfkjqybugn+UtJnk3yQpKjSf5Va782yeEkr7XpNYM+DyQ5luTVJLcP2m9N8mJb9lCSzOdtSZLGmeRM/x3gJ6vqR4EPAbuS7AT2AUeqagdwpD0nyc3AbuAWYBfwcJJNbVuPAHuBHe2xa3ZvRZK0nnVDv0a+3Z6+rz0KuBM40NoPAHe1+TuBJ6rqnap6HTgG3JZkC3B1VT1TVQU8PugjSVqAicb0k2xK8jxwGjhcVV8BbqiqUwBten1bfSvw5qD7ida2tc2vbB/3enuTLCdZPnPmzBRvR5K0lolCv6req6oPAdsYnbV/cI3Vx43T1xrt417v0apaqqqlzZs3T1KiJGkCU129U1X/B/gSo7H4t9qQDW16uq12Arhx0G0bcLK1bxvTLklakEmu3tmc5Pvb/FXATwFfBw4Be9pqe4An2/whYHeSK5PcxOgL22fbENDbSXa2q3buGfSRJC3AFROsswU40K7A+S7gYFV9MckzwMEk9wJvAHcDVNXRJAeBl4F3gfur6r22rfuAx4CrgKfbQ5K0IBldSHPxWlpaquXl5Y0uQxeB7fue2ugSLnrH99+x0SXoIpHkuapaWtnuL3IlqSOGviR1xNCXpI4Y+pLUEUNfkjpi6EtSRwx9SeqIoS9JHTH0Jakjhr4kdcTQl6SOGPqS1BFDX5I6YuhLUkcMfUnqiKEvSR0x9CWpI4a+JHXE0Jekjhj6ktQRQ1+SOmLoS1JHDH1J6oihL0kduWKjC5A0O9v3PTW2/fj+OxZciS5Whr4uKquFlqTZcHhHkjpi6EtSRwx9SerIuqGf5MYkv5vklSRHk3y6tV+b5HCS19r0mkGfB5IcS/JqktsH7bcmebEteyhJ5vO2JEnjTHKm/y7wj6rqR4CdwP1Jbgb2AUeqagdwpD2nLdsN3ALsAh5Osqlt6xFgL7CjPXbN8L1IktaxbuhX1amq+mqbfxt4BdgK3AkcaKsdAO5q83cCT1TVO1X1OnAMuC3JFuDqqnqmqgp4fNBHkrQAU43pJ9kO/BjwFeCGqjoFo/8xANe31bYCbw66nWhtW9v8yvZxr7M3yXKS5TNnzkxToiRpDROHfpLvBX4d+ExVfWutVce01Rrt5zZWPVpVS1W1tHnz5klLlCStY6LQT/I+RoH/q1X1+db8VhuyoU1Pt/YTwI2D7tuAk61925h2SdKCTHL1ToBfAV6pql8eLDoE7Gnze4AnB+27k1yZ5CZGX9g+24aA3k6ys23znkEfSdICTHIbho8APwe8mOT51vbPgP3AwST3Am8AdwNU1dEkB4GXGV35c39Vvdf63Qc8BlwFPN0ekqQFWTf0q+q/MX48HuBjq/R5EHhwTPsy8MFpCpQkzY6/yJWkjhj6ktQRb62sDeEtlKWN4Zm+JHXE0Jekjhj6ktQRx/SlDvi3c3WWZ/qS1BFDX5I6YuhLUkcMfUnqiKEvSR0x9CWpI4a+JHXE0Jekjhj6ktQRQ1+SOmLoS1JHDH1J6oihL0kdMfQlqSOGviR1xNCXpI4Y+pLUEUNfkjpi6EtSR/wbuVLH/Nu5/TH0NVerhYqkjbHu8E6SzyU5neSlQdu1SQ4nea1NrxkseyDJsSSvJrl90H5rkhfbsoeSZPZvR5K0lknG9B8Ddq1o2wccqaodwJH2nCQ3A7uBW1qfh5Nsan0eAfYCO9pj5TYlSXO2buhX1ZeBP1nRfCdwoM0fAO4atD9RVe9U1evAMeC2JFuAq6vqmaoq4PFBH0nSgpzv1Ts3VNUpgDa9vrVvBd4crHeitW1t8yvbx0qyN8lykuUzZ86cZ4mSpJVmfcnmuHH6WqN9rKp6tKqWqmpp8+bNMytOknp3vqH/VhuyoU1Pt/YTwI2D9bYBJ1v7tjHtkqQFOt/QPwTsafN7gCcH7buTXJnkJkZf2D7bhoDeTrKzXbVzz6CPJGlB1r1OP8mvAR8FrktyAviXwH7gYJJ7gTeAuwGq6miSg8DLwLvA/VX1XtvUfYyuBLoKeLo9JEkLtG7oV9UnV1n0sVXWfxB4cEz7MvDBqaqTJM2Uv8jVTPjLW+nS4A3XJKkjnulLOoc3Yrt8eaYvSR0x9CWpI4a+JHXE0Jekjhj6ktQRQ1+SOmLoS1JHDH1J6oihL0kdMfQlqSPehkHSxLw9w6XPM31J6oihL0kdMfQlqSOGviR1xC9yNRX/QpZ0aTP0NZbhLl2eDH1JF8xLOS8djulLUkcMfUnqiKEvSR1xTL9zfmGreXKs/+Jj6EtaOP9nsHEc3pGkjnim3wmHcSSBZ/qS1JWFn+kn2QX8O2AT8Nmq2r/oGi5nntFLWstCz/STbAL+PfBx4Gbgk0luXmQNktSzRZ/p3wYcq6r/CZDkCeBO4OUF1yHpIuRVPfO36NDfCrw5eH4C+OsrV0qyF9jbnn47yavn+XrXAX98nn3nybqmY13Tuezqyi/NuJK/6LLbX80PjmtcdOhnTFud01D1KPDoBb9YslxVSxe6nVmzrulY13Ssazq91bXoq3dOADcOnm8DTi64Bknq1qJD/w+AHUluSvJ+YDdwaME1SFK3Fjq8U1XvJvkU8JuMLtn8XFUdneNLXvAQ0ZxY13SsazrWNZ2u6krVOUPqkqTLlL/IlaSOGPqS1JFLPvST3J3kaJI/T7Lq5U1JdiV5NcmxJPsG7dcmOZzktTa9ZkZ1rbvdJD+c5PnB41tJPtOW/UKS/zVY9olF1dXWO57kxfbay9P2n0ddSW5M8rtJXmmf+acHy2a6v1Y7XgbLk+ShtvxrST48ad851/X3Wj1fS/J7SX50sGzsZ7qguj6a5M8Gn8+/mLTvnOv6J4OaXkryXpJr27K57K8kn0tyOslLqyyf77FVVZf0A/gR4IeBLwFLq6yzCfgG8EPA+4EXgJvbsn8N7Gvz+4BfmlFdU2231fi/gR9sz38B+Mdz2F8T1QUcB6670Pc1y7qALcCH2/wHgD8cfI4z219rHS+DdT4BPM3otyc7ga9M2nfOdf04cE2b//jZutb6TBdU10eBL55P33nWtWL9nwF+ZwH7628BHwZeWmX5XI+tS/5Mv6peqar1frH7nds/VNX/Bc7e/oE2PdDmDwB3zai0abf7MeAbVfVHM3r91Vzo+92w/VVVp6rqq23+beAVRr/ynrW1jpdhvY/XyO8D359ky4R951ZXVf1eVf1pe/r7jH4LM28X8p43dH+t8Eng12b02quqqi8Df7LGKnM9ti750J/QuNs/nA2LG6rqFIxCBbh+Rq857XZ3c+4B96n2z7vPzWoYZYq6CvitJM9ldFuMafvPqy4AkmwHfgz4yqB5VvtrreNlvXUm6TvPuobuZXTGeNZqn+mi6vobSV5I8nSSW6bsO8+6SPLdwC7g1wfN89pf65nrsXVJ/BGVJL8N/MCYRf+8qp6cZBNj2i74WtW16ppyO+8HfhZ4YND8CPCLjOr8ReDfAP9wgXV9pKpOJrkeOJzk6+0M5bzNcH99L6P/OD9TVd9qzee9v8a9xJi2lcfLauvM5Vhb5zXPXTH5CUah/zcHzTP/TKeo66uMhi6/3b5v+S/Ajgn7zrOus34G+O9VNTwDn9f+Ws9cj61LIvSr6qcucBNr3f7hrSRbqupU+yfU6VnUlWSa7X4c+GpVvTXY9nfmk/wH4IuLrKuqTrbp6SRfYPRPyy+zwfsryfsYBf6vVtXnB9s+7/01xiS3C1ltnfdP0HeedZHkrwGfBT5eVd88277GZzr3ugb/c6aqfiPJw0mum6TvPOsaOOdf2nPcX+uZ67HVy/DOWrd/OATsafN7gEn+5TCJabZ7zlhiC76z/i4w9pv+edSV5HuSfODsPPDTg9ffsP2VJMCvAK9U1S+vWDbL/TXJ7UIOAfe0Ky12An/WhqXmeauRdbed5K8Cnwd+rqr+cNC+1me6iLp+oH1+JLmNUfZ8c5K+86yr1fN9wN9mcMzNeX+tZ77H1qy/mV70g9F/4CeAd4C3gN9s7X8F+I3Bep9gdLXHNxgNC51t/8vAEeC1Nr12RnWN3e6Yur6b0cH/fSv6/0fgReBr7YPdsqi6GF0d8EJ7HL1Y9hejoYpq++T59vjEPPbXuOMF+Hng59t8GP1BoG+0111aq+8Mj/f16vos8KeD/bO83me6oLo+1V73BUZfMP/4xbC/2vN/ADyxot/c9hejE7xTwP9jlF33LvLY8jYMktSRXoZ3JEkY+pLUFUNfkjpi6EtSRwx9SeqIoS9JHTH0Jakj/x8GlwxmeKvD5gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.preprocessing import QuantileTransformer\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "scaler = MinMaxScaler()\n",
    "qt = QuantileTransformer(\n",
    "    n_quantiles=500, output_distribution=\"normal\", random_state=0\n",
    ")\n",
    "\n",
    "# X_train, X_test = train_test_split(data, test_size=0.5)\n",
    "# data = qt.fit_transform(data)\n",
    "tree_height = qt.fit_transform(tree_height.reshape(-1,1))\n",
    "scaler_tree = MinMaxScaler()\n",
    "tree_height = scaler_tree.fit_transform(tree_height).squeeze()\n",
    "tree_height = ((tree_height-tree_height.min())/(tree_height.max()-tree_height.min()))*2-1\n",
    "# data[:,2] = data[:,2]/np.quantile(np.abs(data[:,2]),0.99)\n",
    "tree_height = tree_height/tree_height.max()\n",
    "plt.hist(tree_height,50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "28b39994-e920-4aad-a50f-61adabce41f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Normalize the data\n",
    "scaler_data = MinMaxScaler()\n",
    "data_transformed = scaler_data.fit_transform(data)\n",
    "\n",
    "n_plots_x = int(np.ceil(np.sqrt(data.shape[1])))\n",
    "n_plots_y = int(np.floor(np.sqrt(data.shape[1])))\n",
    "fig, ax = plt.subplots(n_plots_x, n_plots_y, figsize=(10, 10), dpi=100, facecolor='w', edgecolor='k')\n",
    "ax=ax.ravel()\n",
    "for idx in range(data.shape[1]-1):\n",
    "    ax[idx].hist(data_transformed[:,idx].flatten())\n",
    "    ax[idx].set_title(data.columns[idx])\n",
    "    # plt.scatter(to_np(times)[:extrapolation_points],obs_print[:extrapolation_points,0]*scaling_factor,label='Data',c='blue')\n",
    "    # ax[idx].scatter(time_to_print[:],obs_to_print[:,idx],label='Data',c='blue', alpha=0.5)\n",
    "    # ax[idx].set_xlabel(\"Time\")\n",
    "    # ax[idx].set_ylabel(\"dim\"+str(idx))\n",
    "    #plt.scatter(to_np(times)[extrapolation_points:],obs_print[extrapolation_points:,0,0],label='Data extr',c='red')\n",
    "    # ax[idx].legend()\n",
    "    # timestr = time.strftime(\"%Y%m%d-%H%M%S\")\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e3634506-7f15-40ed-ad11-846b3a3cecf3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_train.shape: torch.Size([46565, 20]), X_test.shape: torch.Size([19957, 20]), y_train.shape: torch.Size([46565]), y_test.shape: torch.Size([19957])\n",
      "X_train.min: 0.0, X_test.shape: 0.0, y_train.shape: -0.6420077085494995, y_test.shape: -1.0\n",
      "X_train.max: 1.0, X_test.shape: 1.0, y_train.shape: 1.0, y_test.shape: 0.57742840051651\n"
     ]
    }
   ],
   "source": [
    "# Let's use all the data as one big minibatch\n",
    "\n",
    "#Split the data\n",
    "X_train, X_test, y_train, y_test = train_test_split(data_transformed,tree_height, test_size=0.30, random_state=0)\n",
    "X_train = torch.FloatTensor(X_train)\n",
    "y_train = torch.FloatTensor(y_train)\n",
    "X_test = torch.FloatTensor(X_test)\n",
    "y_test = torch.FloatTensor(y_test)\n",
    "print('X_train.shape: {}, X_test.shape: {}, y_train.shape: {}, y_test.shape: {}'.format(X_train.shape, X_test.shape, y_train.shape, y_test.shape))\n",
    "print('X_train.min: {}, X_test.shape: {}, y_train.shape: {}, y_test.shape: {}'.format(X_train.min(), X_test.min(), y_train.min(), y_test.min()))\n",
    "print('X_train.max: {}, X_test.shape: {}, y_train.shape: {}, y_test.shape: {}'.format(X_train.max(), X_test.max(), y_train.max(), y_test.max()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "714dc225-2eb7-46b4-8167-984157e8e9be",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create the model\n",
    "class Perceptron(torch.nn.Module):\n",
    "    def __init__(self,input_size, output_size):\n",
    "        super(Perceptron, self).__init__()\n",
    "        self.fc = nn.Linear(input_size,output_size)\n",
    "        self.relu = torch.nn.ReLU() # instead of Heaviside step fn\n",
    "        self.sigmoid = torch.nn.Sigmoid()\n",
    "        self.tanh = torch.nn.Tanh()\n",
    "    def forward(self, x):\n",
    "        # print('x.shape: ',x.shape)\n",
    "        # print('x: ',x)\n",
    "        output = self.tanh(self.fc(x))\n",
    "        # print('output.shape: ',output.shape)\n",
    "        # print('output: ',output)\n",
    "        # output = self.tanh(output) # instead of Heaviside step fn\n",
    "        # print('output: ',output)\n",
    "        return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "36f33413-e85f-48af-8cdf-5989575c0bf1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 1, lr: 0.5\n",
      "Epoch 0, train_loss: 0.0532, val_loss: 0.1638, r_value: -0.0623\n",
      "Epoch 100, train_loss: 0.1954, val_loss: 0.7130, r_value: 0.4214\n",
      "Epoch 200, train_loss: 0.2813, val_loss: 0.6098, r_value: 0.3794\n",
      "Epoch 300, train_loss: 0.3224, val_loss: 0.4925, r_value: 0.3421\n",
      "Epoch 400, train_loss: 0.3879, val_loss: 0.4200, r_value: 0.3869\n",
      "Epoch 500, train_loss: 0.4980, val_loss: 0.2536, r_value: 0.4959\n",
      "Epoch 600, train_loss: 0.4884, val_loss: 0.2459, r_value: 0.5049\n",
      "Epoch 700, train_loss: 0.4477, val_loss: 0.2981, r_value: 0.5021\n",
      "Epoch 800, train_loss: 0.4495, val_loss: 0.2921, r_value: 0.5036\n",
      "Epoch 900, train_loss: 0.4519, val_loss: 0.2866, r_value: 0.5047\n",
      "Epoch 1000, train_loss: 0.4544, val_loss: 0.2813, r_value: 0.5056\n",
      "Epoch 1100, train_loss: 0.4571, val_loss: 0.2761, r_value: 0.5063\n",
      "Epoch 1200, train_loss: 0.4599, val_loss: 0.2711, r_value: 0.5068\n",
      "Epoch 1300, train_loss: 0.4627, val_loss: 0.2662, r_value: 0.5074\n",
      "Epoch 1400, train_loss: 0.4655, val_loss: 0.2615, r_value: 0.5078\n",
      "Epoch 1500, train_loss: 0.4678, val_loss: 0.2575, r_value: 0.5082\n",
      "Epoch 1600, train_loss: 0.4692, val_loss: 0.2550, r_value: 0.5085\n",
      "Epoch 1700, train_loss: 0.4696, val_loss: 0.2541, r_value: 0.5087\n",
      "Epoch 1800, train_loss: 0.4694, val_loss: 0.2539, r_value: 0.5089\n",
      "Epoch 1900, train_loss: 0.4691, val_loss: 0.2541, r_value: 0.5090\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 1, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.1608, val_loss: 0.0436, r_value: 0.0382\n",
      "Epoch 100, train_loss: 0.0303, val_loss: 0.0298, r_value: 0.4364\n",
      "Epoch 200, train_loss: 0.0281, val_loss: 0.0277, r_value: 0.4957\n",
      "Epoch 300, train_loss: 0.0274, val_loss: 0.0270, r_value: 0.5121\n",
      "Epoch 400, train_loss: 0.0271, val_loss: 0.0267, r_value: 0.5195\n",
      "Epoch 500, train_loss: 0.0269, val_loss: 0.0265, r_value: 0.5238\n",
      "Epoch 600, train_loss: 0.0268, val_loss: 0.0264, r_value: 0.5267\n",
      "Epoch 700, train_loss: 0.0267, val_loss: 0.0263, r_value: 0.5288\n",
      "Epoch 800, train_loss: 0.0266, val_loss: 0.0263, r_value: 0.5303\n",
      "Epoch 900, train_loss: 0.0266, val_loss: 0.0262, r_value: 0.5315\n",
      "Epoch 1000, train_loss: 0.0266, val_loss: 0.0262, r_value: 0.5325\n",
      "Epoch 1100, train_loss: 0.0265, val_loss: 0.0261, r_value: 0.5333\n",
      "Epoch 1200, train_loss: 0.0265, val_loss: 0.0261, r_value: 0.5339\n",
      "Epoch 1300, train_loss: 0.0265, val_loss: 0.0261, r_value: 0.5344\n",
      "Epoch 1400, train_loss: 0.0264, val_loss: 0.0261, r_value: 0.5348\n",
      "Epoch 1500, train_loss: 0.0264, val_loss: 0.0261, r_value: 0.5351\n",
      "Epoch 1600, train_loss: 0.0264, val_loss: 0.0261, r_value: 0.5354\n",
      "Epoch 1700, train_loss: 0.0264, val_loss: 0.0261, r_value: 0.5357\n",
      "Epoch 1800, train_loss: 0.0264, val_loss: 0.0260, r_value: 0.5359\n",
      "Epoch 1900, train_loss: 0.0264, val_loss: 0.0260, r_value: 0.5360\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 1, lr: 0.01\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0635, val_loss: 0.0618, r_value: -0.2940\n",
      "Epoch 100, train_loss: 0.0521, val_loss: 0.0517, r_value: -0.2424\n",
      "Epoch 200, train_loss: 0.0485, val_loss: 0.0482, r_value: -0.1854\n",
      "Epoch 300, train_loss: 0.0455, val_loss: 0.0452, r_value: -0.1220\n",
      "Epoch 400, train_loss: 0.0430, val_loss: 0.0426, r_value: -0.0548\n",
      "Epoch 500, train_loss: 0.0408, val_loss: 0.0405, r_value: 0.0133\n",
      "Epoch 600, train_loss: 0.0390, val_loss: 0.0387, r_value: 0.0791\n",
      "Epoch 700, train_loss: 0.0374, val_loss: 0.0371, r_value: 0.1400\n",
      "Epoch 800, train_loss: 0.0361, val_loss: 0.0358, r_value: 0.1946\n",
      "Epoch 900, train_loss: 0.0350, val_loss: 0.0347, r_value: 0.2422\n",
      "Epoch 1000, train_loss: 0.0340, val_loss: 0.0337, r_value: 0.2829\n",
      "Epoch 1100, train_loss: 0.0332, val_loss: 0.0329, r_value: 0.3175\n",
      "Epoch 1200, train_loss: 0.0324, val_loss: 0.0321, r_value: 0.3466\n",
      "Epoch 1300, train_loss: 0.0318, val_loss: 0.0315, r_value: 0.3711\n",
      "Epoch 1400, train_loss: 0.0313, val_loss: 0.0310, r_value: 0.3916\n",
      "Epoch 1500, train_loss: 0.0308, val_loss: 0.0305, r_value: 0.4090\n",
      "Epoch 1600, train_loss: 0.0303, val_loss: 0.0300, r_value: 0.4237\n",
      "Epoch 1700, train_loss: 0.0300, val_loss: 0.0297, r_value: 0.4362\n",
      "Epoch 1800, train_loss: 0.0296, val_loss: 0.0293, r_value: 0.4469\n",
      "Epoch 1900, train_loss: 0.0294, val_loss: 0.0290, r_value: 0.4561\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# model.train()\n",
    "epoch = 2000\n",
    "hid_dim_range = [1]#,256,512]\n",
    "lr_range = [0.5,0.1,0.01]#,0.05,0.001]\n",
    "\n",
    "for hid_dim in hid_dim_range:\n",
    "    for lr in lr_range:\n",
    "        print('\\nhid_dim: {}, lr: {}'.format(hid_dim, lr))\n",
    "        if 'model' in globals():\n",
    "            print('Deleting previous model')\n",
    "            del model, criterion, optimizer\n",
    "        model = Perceptron(data.shape[1], hid_dim)\n",
    "        criterion = torch.nn.MSELoss()\n",
    "        optimizer = torch.optim.SGD(model.parameters(), lr = lr)\n",
    "\n",
    "        all_loss_train=[]\n",
    "        all_loss_val=[]\n",
    "        for epoch in range(epoch):\n",
    "            model.train()\n",
    "            optimizer.zero_grad()\n",
    "            # Forward pass\n",
    "            y_pred = model(X_train)\n",
    "            # Compute Loss\n",
    "            loss = criterion(y_pred.squeeze(), y_train)\n",
    "\n",
    "            # Backward pass\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "\n",
    "            all_loss_train.append(loss.item())\n",
    "\n",
    "            model.eval()\n",
    "            with torch.no_grad():\n",
    "                y_pred = model(X_test)\n",
    "                # Compute Loss\n",
    "                loss = criterion(y_pred.squeeze(), y_test)\n",
    "                all_loss_val.append(loss.item())\n",
    "            \n",
    "                if epoch%100==0:\n",
    "                    y_pred = y_pred.detach().numpy().squeeze()\n",
    "                    slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(y_pred, y_test)\n",
    "                    print('Epoch {}, train_loss: {:.4f}, val_loss: {:.4f}, r_value: {:.4f}'.format(epoch,all_loss_train[-1],all_loss_val[-1],r_value))\n",
    "                \n",
    "        fig,ax=plt.subplots(1,2,figsize=(10,5))\n",
    "        ax[0].plot(all_loss_train)\n",
    "        ax[0].plot(all_loss_val)\n",
    "\n",
    "        ax[1].scatter(y_pred, y_test)\n",
    "        ax[1].set_xlabel('Prediction')\n",
    "        ax[1].set_ylabel('True')\n",
    "        ax[1].set_title('slope: {:.4f}, r_value: {:.4f}'.format(slope, r_value))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "694d6b6d-5af1-4fd6-ab7f-47fc11127515",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Try with FF\n",
    "class Feedforward(torch.nn.Module):\n",
    "    def __init__(self, input_size, hidden_size):\n",
    "        super(Feedforward, self).__init__()\n",
    "        self.input_size = input_size\n",
    "        self.hidden_size  = hidden_size\n",
    "        self.fc1 = torch.nn.Linear(self.input_size, self.hidden_size)\n",
    "        self.fc2 = torch.nn.Linear(self.hidden_size, self.hidden_size)\n",
    "        # self.fc3 = torch.nn.Linear(self.hidden_size, self.hidden_size)\n",
    "        # self.fc4 = torch.nn.Linear(self.hidden_size, self.hidden_size)\n",
    "        self.relu = torch.nn.ReLU()\n",
    "        self.fc3 = torch.nn.Linear(self.hidden_size, 1)\n",
    "        self.sigmoid = torch.nn.Sigmoid()\n",
    "        self.tanh = torch.nn.Tanh()\n",
    "    def forward(self, x):\n",
    "        hidden = self.relu(self.fc1(x))\n",
    "        hidden = self.relu(self.fc2(hidden))\n",
    "        # hidden = self.relu(self.fc3(hidden))\n",
    "        # hidden = self.relu(self.fc4(hidden))\n",
    "        output = self.tanh(self.fc3(hidden))\n",
    "\n",
    "        return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4a6ad324-8a87-45d5-8872-3077aef2038b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.75\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0403, val_loss: 0.0977, r_value: 0.2438\n",
      "Epoch 100, train_loss: 0.0345, val_loss: 0.0356, r_value: 0.4551\n",
      "Epoch 200, train_loss: 0.0327, val_loss: 0.0337, r_value: 0.4872\n",
      "Epoch 300, train_loss: 0.0322, val_loss: 0.0327, r_value: 0.5180\n",
      "Epoch 400, train_loss: 0.0316, val_loss: 0.0318, r_value: 0.5361\n",
      "Epoch 500, train_loss: 0.0307, val_loss: 0.0308, r_value: 0.5470\n",
      "Epoch 600, train_loss: 0.0300, val_loss: 0.0300, r_value: 0.5541\n",
      "Epoch 700, train_loss: 0.0294, val_loss: 0.0293, r_value: 0.5589\n",
      "Epoch 800, train_loss: 0.0288, val_loss: 0.0287, r_value: 0.5628\n",
      "Epoch 900, train_loss: 0.0284, val_loss: 0.0283, r_value: 0.5659\n",
      "Epoch 1000, train_loss: 0.0280, val_loss: 0.0279, r_value: 0.5685\n",
      "Epoch 1100, train_loss: 0.0277, val_loss: 0.0277, r_value: 0.5706\n",
      "Epoch 1200, train_loss: 0.0275, val_loss: 0.0274, r_value: 0.5724\n",
      "Epoch 1300, train_loss: 0.0273, val_loss: 0.0272, r_value: 0.5741\n",
      "Epoch 1400, train_loss: 0.0271, val_loss: 0.0271, r_value: 0.5755\n",
      "Epoch 1500, train_loss: 0.0269, val_loss: 0.0269, r_value: 0.5769\n",
      "Epoch 1600, train_loss: 0.0268, val_loss: 0.0268, r_value: 0.5781\n",
      "Epoch 1700, train_loss: 0.0267, val_loss: 0.0266, r_value: 0.5794\n",
      "Epoch 1800, train_loss: 0.0265, val_loss: 0.0265, r_value: 0.5805\n",
      "Epoch 1900, train_loss: 0.0265, val_loss: 0.0265, r_value: 0.5815\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.5\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0385, val_loss: 0.0446, r_value: 0.2170\n",
      "Epoch 100, train_loss: 0.0314, val_loss: 0.0298, r_value: 0.4997\n",
      "Epoch 200, train_loss: 0.0292, val_loss: 0.0285, r_value: 0.5248\n",
      "Epoch 300, train_loss: 0.0283, val_loss: 0.0277, r_value: 0.5393\n",
      "Epoch 400, train_loss: 0.0277, val_loss: 0.0273, r_value: 0.5491\n",
      "Epoch 500, train_loss: 0.0273, val_loss: 0.0268, r_value: 0.5554\n",
      "Epoch 600, train_loss: 0.0269, val_loss: 0.0265, r_value: 0.5596\n",
      "Epoch 700, train_loss: 0.0265, val_loss: 0.0262, r_value: 0.5628\n",
      "Epoch 800, train_loss: 0.0263, val_loss: 0.0259, r_value: 0.5653\n",
      "Epoch 900, train_loss: 0.0260, val_loss: 0.0258, r_value: 0.5674\n",
      "Epoch 1000, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5693\n",
      "Epoch 1100, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5711\n",
      "Epoch 1200, train_loss: 0.0255, val_loss: 0.0253, r_value: 0.5727\n",
      "Epoch 1300, train_loss: 0.0254, val_loss: 0.0252, r_value: 0.5742\n",
      "Epoch 1400, train_loss: 0.0253, val_loss: 0.0251, r_value: 0.5755\n",
      "Epoch 1500, train_loss: 0.0252, val_loss: 0.0250, r_value: 0.5769\n",
      "Epoch 1600, train_loss: 0.0252, val_loss: 0.0250, r_value: 0.5781\n",
      "Epoch 1700, train_loss: 0.0251, val_loss: 0.0249, r_value: 0.5793\n",
      "Epoch 1800, train_loss: 0.0250, val_loss: 0.0248, r_value: 0.5804\n",
      "Epoch 1900, train_loss: 0.0250, val_loss: 0.0248, r_value: 0.5815\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0375, val_loss: 0.0367, r_value: -0.0293\n",
      "Epoch 100, train_loss: 0.0315, val_loss: 0.0311, r_value: 0.4840\n",
      "Epoch 200, train_loss: 0.0286, val_loss: 0.0282, r_value: 0.5040\n",
      "Epoch 300, train_loss: 0.0274, val_loss: 0.0271, r_value: 0.5148\n",
      "Epoch 400, train_loss: 0.0270, val_loss: 0.0266, r_value: 0.5230\n",
      "Epoch 500, train_loss: 0.0267, val_loss: 0.0263, r_value: 0.5301\n",
      "Epoch 600, train_loss: 0.0264, val_loss: 0.0261, r_value: 0.5359\n",
      "Epoch 700, train_loss: 0.0262, val_loss: 0.0259, r_value: 0.5404\n",
      "Epoch 800, train_loss: 0.0261, val_loss: 0.0258, r_value: 0.5439\n",
      "Epoch 900, train_loss: 0.0260, val_loss: 0.0256, r_value: 0.5468\n",
      "Epoch 1000, train_loss: 0.0259, val_loss: 0.0255, r_value: 0.5493\n",
      "Epoch 1100, train_loss: 0.0258, val_loss: 0.0254, r_value: 0.5514\n",
      "Epoch 1200, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5532\n",
      "Epoch 1300, train_loss: 0.0256, val_loss: 0.0253, r_value: 0.5547\n",
      "Epoch 1400, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5561\n",
      "Epoch 1500, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5574\n",
      "Epoch 1600, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5586\n",
      "Epoch 1700, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5596\n",
      "Epoch 1800, train_loss: 0.0253, val_loss: 0.0251, r_value: 0.5606\n",
      "Epoch 1900, train_loss: 0.0253, val_loss: 0.0250, r_value: 0.5615\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.75\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0403, val_loss: 0.0921, r_value: 0.0286\n",
      "Epoch 100, train_loss: 0.0349, val_loss: 0.0329, r_value: 0.4931\n",
      "Epoch 200, train_loss: 0.0336, val_loss: 0.0321, r_value: 0.5201\n",
      "Epoch 300, train_loss: 0.0325, val_loss: 0.0315, r_value: 0.5385\n",
      "Epoch 400, train_loss: 0.0313, val_loss: 0.0306, r_value: 0.5499\n",
      "Epoch 500, train_loss: 0.0303, val_loss: 0.0298, r_value: 0.5571\n",
      "Epoch 600, train_loss: 0.0295, val_loss: 0.0291, r_value: 0.5621\n",
      "Epoch 700, train_loss: 0.0289, val_loss: 0.0286, r_value: 0.5659\n",
      "Epoch 800, train_loss: 0.0284, val_loss: 0.0281, r_value: 0.5691\n",
      "Epoch 900, train_loss: 0.0280, val_loss: 0.0278, r_value: 0.5719\n",
      "Epoch 1000, train_loss: 0.0278, val_loss: 0.0275, r_value: 0.5743\n",
      "Epoch 1100, train_loss: 0.0275, val_loss: 0.0273, r_value: 0.5765\n",
      "Epoch 1200, train_loss: 0.0273, val_loss: 0.0271, r_value: 0.5785\n",
      "Epoch 1300, train_loss: 0.0272, val_loss: 0.0269, r_value: 0.5803\n",
      "Epoch 1400, train_loss: 0.0270, val_loss: 0.0268, r_value: 0.5819\n",
      "Epoch 1500, train_loss: 0.0268, val_loss: 0.0266, r_value: 0.5835\n",
      "Epoch 1600, train_loss: 0.0267, val_loss: 0.0265, r_value: 0.5849\n",
      "Epoch 1700, train_loss: 0.0266, val_loss: 0.0264, r_value: 0.5862\n",
      "Epoch 1800, train_loss: 0.0265, val_loss: 0.0263, r_value: 0.5874\n",
      "Epoch 1900, train_loss: 0.0264, val_loss: 0.0262, r_value: 0.5885\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.5\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0382, val_loss: 0.0552, r_value: 0.1675\n",
      "Epoch 100, train_loss: 0.0382, val_loss: 0.0346, r_value: 0.5131\n",
      "Epoch 200, train_loss: 0.0292, val_loss: 0.0283, r_value: 0.5328\n",
      "Epoch 300, train_loss: 0.0282, val_loss: 0.0275, r_value: 0.5474\n",
      "Epoch 400, train_loss: 0.0275, val_loss: 0.0270, r_value: 0.5569\n",
      "Epoch 500, train_loss: 0.0269, val_loss: 0.0265, r_value: 0.5631\n",
      "Epoch 600, train_loss: 0.0265, val_loss: 0.0261, r_value: 0.5675\n",
      "Epoch 700, train_loss: 0.0261, val_loss: 0.0258, r_value: 0.5709\n",
      "Epoch 800, train_loss: 0.0258, val_loss: 0.0256, r_value: 0.5737\n",
      "Epoch 900, train_loss: 0.0256, val_loss: 0.0254, r_value: 0.5761\n",
      "Epoch 1000, train_loss: 0.0254, val_loss: 0.0252, r_value: 0.5782\n",
      "Epoch 1100, train_loss: 0.0253, val_loss: 0.0251, r_value: 0.5801\n",
      "Epoch 1200, train_loss: 0.0252, val_loss: 0.0250, r_value: 0.5819\n",
      "Epoch 1300, train_loss: 0.0250, val_loss: 0.0249, r_value: 0.5835\n",
      "Epoch 1400, train_loss: 0.0249, val_loss: 0.0248, r_value: 0.5850\n",
      "Epoch 1500, train_loss: 0.0248, val_loss: 0.0247, r_value: 0.5864\n",
      "Epoch 1600, train_loss: 0.0248, val_loss: 0.0246, r_value: 0.5877\n",
      "Epoch 1700, train_loss: 0.0247, val_loss: 0.0246, r_value: 0.5889\n",
      "Epoch 1800, train_loss: 0.0246, val_loss: 0.0245, r_value: 0.5900\n",
      "Epoch 1900, train_loss: 0.0246, val_loss: 0.0244, r_value: 0.5911\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0383, val_loss: 0.0366, r_value: 0.0119\n",
      "Epoch 100, train_loss: 0.0293, val_loss: 0.0289, r_value: 0.4922\n",
      "Epoch 200, train_loss: 0.0274, val_loss: 0.0271, r_value: 0.5165\n",
      "Epoch 300, train_loss: 0.0267, val_loss: 0.0264, r_value: 0.5302\n",
      "Epoch 400, train_loss: 0.0263, val_loss: 0.0260, r_value: 0.5387\n",
      "Epoch 500, train_loss: 0.0261, val_loss: 0.0257, r_value: 0.5446\n",
      "Epoch 600, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5488\n",
      "Epoch 700, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5519\n",
      "Epoch 800, train_loss: 0.0256, val_loss: 0.0253, r_value: 0.5543\n",
      "Epoch 900, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5562\n",
      "Epoch 1000, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5578\n",
      "Epoch 1100, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5593\n",
      "Epoch 1200, train_loss: 0.0253, val_loss: 0.0251, r_value: 0.5606\n",
      "Epoch 1300, train_loss: 0.0253, val_loss: 0.0250, r_value: 0.5618\n",
      "Epoch 1400, train_loss: 0.0252, val_loss: 0.0250, r_value: 0.5630\n",
      "Epoch 1500, train_loss: 0.0252, val_loss: 0.0249, r_value: 0.5641\n",
      "Epoch 1600, train_loss: 0.0251, val_loss: 0.0249, r_value: 0.5651\n",
      "Epoch 1700, train_loss: 0.0251, val_loss: 0.0248, r_value: 0.5662\n",
      "Epoch 1800, train_loss: 0.0251, val_loss: 0.0249, r_value: 0.5671\n",
      "Epoch 1900, train_loss: 0.0252, val_loss: 0.0249, r_value: 0.5680\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.75\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0458, val_loss: 0.6252, r_value: 0.0520\n",
      "Epoch 100, train_loss: 0.0350, val_loss: 0.0329, r_value: 0.4944\n",
      "Epoch 200, train_loss: 0.0348, val_loss: 0.0329, r_value: 0.5054\n",
      "Epoch 300, train_loss: 0.0340, val_loss: 0.0328, r_value: 0.5199\n",
      "Epoch 400, train_loss: 0.0331, val_loss: 0.0324, r_value: 0.5327\n",
      "Epoch 500, train_loss: 0.0323, val_loss: 0.0318, r_value: 0.5429\n",
      "Epoch 600, train_loss: 0.0315, val_loss: 0.0311, r_value: 0.5513\n",
      "Epoch 700, train_loss: 0.0308, val_loss: 0.0304, r_value: 0.5579\n",
      "Epoch 800, train_loss: 0.0301, val_loss: 0.0297, r_value: 0.5630\n",
      "Epoch 900, train_loss: 0.0295, val_loss: 0.0292, r_value: 0.5672\n",
      "Epoch 1000, train_loss: 0.0290, val_loss: 0.0287, r_value: 0.5707\n",
      "Epoch 1100, train_loss: 0.0286, val_loss: 0.0283, r_value: 0.5737\n",
      "Epoch 1200, train_loss: 0.0283, val_loss: 0.0280, r_value: 0.5764\n",
      "Epoch 1300, train_loss: 0.0279, val_loss: 0.0276, r_value: 0.5787\n",
      "Epoch 1400, train_loss: 0.0276, val_loss: 0.0274, r_value: 0.5807\n",
      "Epoch 1500, train_loss: 0.0274, val_loss: 0.0271, r_value: 0.5826\n",
      "Epoch 1600, train_loss: 0.0271, val_loss: 0.0269, r_value: 0.5842\n",
      "Epoch 1700, train_loss: 0.0269, val_loss: 0.0267, r_value: 0.5857\n",
      "Epoch 1800, train_loss: 0.0267, val_loss: 0.0265, r_value: 0.5871\n",
      "Epoch 1900, train_loss: 0.0265, val_loss: 0.0263, r_value: 0.5883\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.5\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0367, val_loss: 0.0350, r_value: 0.3153\n",
      "Epoch 100, train_loss: 0.0314, val_loss: 0.0296, r_value: 0.5187\n",
      "Epoch 200, train_loss: 0.0292, val_loss: 0.0282, r_value: 0.5383\n",
      "Epoch 300, train_loss: 0.0280, val_loss: 0.0274, r_value: 0.5516\n",
      "Epoch 400, train_loss: 0.0272, val_loss: 0.0268, r_value: 0.5597\n",
      "Epoch 500, train_loss: 0.0266, val_loss: 0.0263, r_value: 0.5652\n",
      "Epoch 600, train_loss: 0.0262, val_loss: 0.0259, r_value: 0.5692\n",
      "Epoch 700, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5724\n",
      "Epoch 800, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5753\n",
      "Epoch 900, train_loss: 0.0255, val_loss: 0.0253, r_value: 0.5777\n",
      "Epoch 1000, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5798\n",
      "Epoch 1100, train_loss: 0.0252, val_loss: 0.0250, r_value: 0.5817\n",
      "Epoch 1200, train_loss: 0.0251, val_loss: 0.0249, r_value: 0.5833\n",
      "Epoch 1300, train_loss: 0.0250, val_loss: 0.0248, r_value: 0.5848\n",
      "Epoch 1400, train_loss: 0.0249, val_loss: 0.0248, r_value: 0.5862\n",
      "Epoch 1500, train_loss: 0.0249, val_loss: 0.0247, r_value: 0.5875\n",
      "Epoch 1600, train_loss: 0.0248, val_loss: 0.0246, r_value: 0.5887\n",
      "Epoch 1700, train_loss: 0.0247, val_loss: 0.0245, r_value: 0.5898\n",
      "Epoch 1800, train_loss: 0.0246, val_loss: 0.0245, r_value: 0.5909\n",
      "Epoch 1900, train_loss: 0.0246, val_loss: 0.0244, r_value: 0.5919\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0402, val_loss: 0.0381, r_value: -0.0979\n",
      "Epoch 100, train_loss: 0.0274, val_loss: 0.0270, r_value: 0.5218\n",
      "Epoch 200, train_loss: 0.0266, val_loss: 0.0262, r_value: 0.5358\n",
      "Epoch 300, train_loss: 0.0262, val_loss: 0.0258, r_value: 0.5440\n",
      "Epoch 400, train_loss: 0.0260, val_loss: 0.0256, r_value: 0.5491\n",
      "Epoch 500, train_loss: 0.0262, val_loss: 0.0259, r_value: 0.5529\n",
      "Epoch 600, train_loss: 0.0260, val_loss: 0.0257, r_value: 0.5556\n",
      "Epoch 700, train_loss: 0.0258, val_loss: 0.0254, r_value: 0.5579\n",
      "Epoch 800, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5600\n",
      "Epoch 900, train_loss: 0.0256, val_loss: 0.0253, r_value: 0.5617\n",
      "Epoch 1000, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5633\n",
      "Epoch 1100, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5648\n",
      "Epoch 1200, train_loss: 0.0253, val_loss: 0.0251, r_value: 0.5663\n",
      "Epoch 1300, train_loss: 0.0253, val_loss: 0.0250, r_value: 0.5676\n",
      "Epoch 1400, train_loss: 0.0252, val_loss: 0.0249, r_value: 0.5689\n",
      "Epoch 1500, train_loss: 0.0252, val_loss: 0.0249, r_value: 0.5701\n",
      "Epoch 1600, train_loss: 0.0251, val_loss: 0.0248, r_value: 0.5713\n",
      "Epoch 1700, train_loss: 0.0250, val_loss: 0.0248, r_value: 0.5724\n",
      "Epoch 1800, train_loss: 0.0250, val_loss: 0.0247, r_value: 0.5735\n",
      "Epoch 1900, train_loss: 0.0249, val_loss: 0.0247, r_value: 0.5745\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# model.train()\n",
    "epoch = 2000\n",
    "hid_dim_range = [128,256,512]\n",
    "lr_range = [0.75,0.5,0.1]\n",
    "\n",
    "for hid_dim in hid_dim_range:\n",
    "    for lr in lr_range:\n",
    "        print('\\nhid_dim: {}, lr: {}'.format(hid_dim, lr))\n",
    "        if 'model' in globals():\n",
    "            print('Deleting previous model')\n",
    "            del model, criterion, optimizer\n",
    "        model = Feedforward(data.shape[1], hid_dim)\n",
    "        criterion = torch.nn.MSELoss()\n",
    "        optimizer = torch.optim.SGD(model.parameters(), lr = lr)\n",
    "\n",
    "        all_loss_train=[]\n",
    "        all_loss_val=[]\n",
    "        for epoch in range(epoch):\n",
    "            model.train()\n",
    "            optimizer.zero_grad()\n",
    "            # Forward pass\n",
    "            y_pred = model(X_train)\n",
    "            # Compute Loss\n",
    "            loss = criterion(y_pred.squeeze(), y_train)\n",
    "\n",
    "            # Backward pass\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "\n",
    "            all_loss_train.append(loss.item())\n",
    "\n",
    "            model.eval()\n",
    "            with torch.no_grad():\n",
    "                y_pred = model(X_test)\n",
    "                # Compute Loss\n",
    "                loss = criterion(y_pred.squeeze(), y_test)\n",
    "                all_loss_val.append(loss.item())\n",
    "            \n",
    "                if epoch%100==0:\n",
    "                    y_pred = y_pred.detach().numpy().squeeze()\n",
    "                    slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(y_pred, y_test)\n",
    "                    print('Epoch {}, train_loss: {:.4f}, val_loss: {:.4f}, r_value: {:.4f}'.format(epoch,all_loss_train[-1],all_loss_val[-1],r_value))\n",
    "                \n",
    "        fig,ax=plt.subplots(1,2,figsize=(10,5))\n",
    "        ax[0].plot(np.log10(all_loss_train))\n",
    "        ax[0].plot(np.log10(all_loss_val))\n",
    "\n",
    "        ax[1].scatter(y_pred, y_test)\n",
    "        ax[1].set_xlabel('Prediction')\n",
    "        ax[1].set_ylabel('True')\n",
    "        ax[1].set_title('slope: {:.4f}, r_value: {:.4f}'.format(slope, r_value))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e87883a3-01fa-449b-a60d-d06e0ba62a5e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Try deeper FF\n",
    "class Feedforward(torch.nn.Module):\n",
    "    def __init__(self, input_size, hidden_size):\n",
    "        super(Feedforward, self).__init__()\n",
    "        self.input_size = input_size\n",
    "        self.hidden_size  = hidden_size\n",
    "        self.fc1 = torch.nn.Linear(self.input_size, self.hidden_size)\n",
    "        self.fc2 = torch.nn.Linear(self.hidden_size, self.hidden_size)\n",
    "        self.fc3 = torch.nn.Linear(self.hidden_size, self.hidden_size)\n",
    "        self.fc4 = torch.nn.Linear(self.hidden_size, self.hidden_size)\n",
    "        self.relu = torch.nn.ReLU()\n",
    "        self.fc5 = torch.nn.Linear(self.hidden_size, 1)\n",
    "        self.sigmoid = torch.nn.Sigmoid()\n",
    "        self.tanh = torch.nn.Tanh()\n",
    "    def forward(self, x):\n",
    "        hidden = self.relu(self.fc1(x))\n",
    "        hidden = self.relu(self.fc2(hidden))\n",
    "        hidden = self.relu(self.fc3(hidden))\n",
    "        hidden = self.relu(self.fc4(hidden))\n",
    "        output = self.tanh(self.fc5(hidden))\n",
    "\n",
    "        return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c62f928f-5098-4850-8305-ef7f8c4a7df1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.75\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0373, val_loss: 0.0372, r_value: 0.1484\n",
      "Epoch 100, train_loss: 0.0394, val_loss: 0.0394, r_value: 0.4557\n",
      "Epoch 200, train_loss: 0.0359, val_loss: 0.0371, r_value: 0.4361\n",
      "Epoch 300, train_loss: 0.0331, val_loss: 0.0344, r_value: 0.4529\n",
      "Epoch 400, train_loss: 0.0324, val_loss: 0.0334, r_value: 0.4718\n",
      "Epoch 500, train_loss: 0.0321, val_loss: 0.0329, r_value: 0.4873\n",
      "Epoch 600, train_loss: 0.0320, val_loss: 0.0325, r_value: 0.5015\n",
      "Epoch 700, train_loss: 0.0318, val_loss: 0.0321, r_value: 0.5146\n",
      "Epoch 800, train_loss: 0.0315, val_loss: 0.0316, r_value: 0.5258\n",
      "Epoch 900, train_loss: 0.0311, val_loss: 0.0311, r_value: 0.5345\n",
      "Epoch 1000, train_loss: 0.0305, val_loss: 0.0305, r_value: 0.5408\n",
      "Epoch 1100, train_loss: 0.0300, val_loss: 0.0299, r_value: 0.5457\n",
      "Epoch 1200, train_loss: 0.0296, val_loss: 0.0295, r_value: 0.5498\n",
      "Epoch 1300, train_loss: 0.0292, val_loss: 0.0291, r_value: 0.5530\n",
      "Epoch 1400, train_loss: 0.0289, val_loss: 0.0287, r_value: 0.5557\n",
      "Epoch 1500, train_loss: 0.0286, val_loss: 0.0284, r_value: 0.5579\n",
      "Epoch 1600, train_loss: 0.0284, val_loss: 0.0282, r_value: 0.5597\n",
      "Epoch 1700, train_loss: 0.0282, val_loss: 0.0280, r_value: 0.5613\n",
      "Epoch 1800, train_loss: 0.0280, val_loss: 0.0278, r_value: 0.5627\n",
      "Epoch 1900, train_loss: 0.0278, val_loss: 0.0276, r_value: 0.5638\n"
     ]
    },
    {
     "data": {
      "image/png": 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y2ULUfTCWaBlTN6WISPWNCVobwrbnq1Sta4Uo13I5/QkSCwlGw56rXCk1+ivXa5Atye1ACsQSLV/pzzPA5q7yNOwMgmAs3jIWVcuYiEjVzZw2vs8/uEK7fUo9OzJMcvDVPCzGhk1dBS/Vk+2YxQR0hQSjlZ7pmC0pbPrrPlAlxuFNnb0g9Hk+96alzJm/sqT5xup+AL8HneMDJ+YWERm8ChmEnkmpZ0emS59ksH5jZ5/WpELTG5Ry4kIhwWil12SOmIXOkh0ouciGD8l/okG2QLbUE0/qv2UsCMasiAy8IiJSOoV2zYUt63Pr4raiWteyyTdwCFuuKFPLV6HZ87O1oOXb1Tt3SRtvb+4KrXu5Bs0nlhZKbz0cKLnINubxuiZek0zPc0Ipu8brPhjrKVPfuIiIlF/Y+KhbF7dxysEtvbP68unyK6SLMN/AITn4yTaOK3E/n3NlOs6il97ovd4RTTEilpo9Pyw7/pz5K1MG6SdLpKlYnyF3WD6GD4mycUt3xqAuOVjJFdhUSj7tMonXJKxLPVPZYtV9MOZe/WZRERHpn0wtSg8+s45HWo/M6xiFzr7MJ3BIb4nLVM9v3bmCTVmmKua7/mRyCozQhb1D0oRlCxTWb+xkZIa8YfkYOSzGps6enK1rbe0dzF3SlldgM1CMaIoxdfaCeFqLHOnXStU1XvdjxnAN3BcRqVWlGKxf6NqUYUlMY1GjuSmWcZxbpvqs39iZMQApZP3JXEFPZ7dz/s3LUsYw5QoU+tsqZsRbmPINrM4NFtkudFHyYkVzRVIhIsA7W7p6g/FsLWkGJesar/tgzHsUjImI1KpSDNYvNKALm2Qw59SJLL34w7w4+3geaT0y73Ujsylk/cl8dLunDCovdWJSiAcgZx42Nrx1Lod3tlS2Vezyf5tISwHPZ3NTjBHDYnmn2SjlIKhB0E2ZCMY0dkxEpNaUIhVGf3KbFTrJIFM3XKaB8i3NTRmXMSqmO6+js5vzb17GeTctLVkXWtSMHvfesXaLXnqjJMctp4aIhSa9zeatjs6Ck2D1J8VJmEEUjImISK0pxVJGmQK6I/Yd3Ts2KLFMT0s/838lyidna4fwQCxbMJk4zvk3L+udmVio5BmNpdDtzqrZx2dN2jrQdPV4bwvh0IZIXsFYf6KFUs2orP9gTLMpRUQGvGyzHQtppcqVXiKxfdz2TSmD4jOlZCjE9MktzJm/MnQsVnrrUuLYmep73k1LCzp3OUXNaippa8J5Ny2loQLLLJViRmXdB2Om2ZQiIgNaf9aa7M9xkgOg825amldKhkJl+sfc486Ls49P2Xbh3OUpAWFyfQdKKgiIB6oDJWlrIZzKLLNUiu7g+h/Ar25KEZGqm7ukjamzF+Sdnb3QDPeFHGfO/JU5RxH3p7Vj7pI2Ihlm8IUlZE0OxBIS9Q2b0VlNAyUwrKZhsUif16RUyYbrvmVs62xKdVeKiJRaPslUc7VYlWqtyXyPk89xw1o7sl1r4hrDxnmF/cPOFhCuae/IOAZNqmdIQ5RZJ+xflgXj6z8Y0zJIIiJlkW/3Yq6lgPoz2zFMvsfJ1QUYixrr39nMuNZ5QDzlwUcn7pKyBFN6hv1MA+6jZqEpLLIFhMn1fasjfDmjaohFrM8anYPJmx2dBc+yzZe6KUVEMjCzY81spZk9b2atWcq9x8y6zezUStav2vLtFszVYhXWJdef7p9Mx0nMmkx0kR6x7+iMXYAjh8Xo7nE2JmXNb+/o5NqFL4de66w7VmRsEYP4eKtMWf7DJBKJZmtpq5bBHIhB6bLthykqGDOz08xshZn1mNmUDGUazexvZrYsKPutpH2jzOw+M3su+D2ymPqEUtJXEekHM4sCVwAfAd4NnGFm785Q7rvA/MrWsPryXW8xV+LW9CSrzU0xGmMRzrtpaZ/xZdmEJWs95eAWbl3cRlt7B07q2pbJ5X50+iRWzT6eYUMaKCTmaO/InGE/YfIl9/YZKxcWOCYSqiZmZdbagPl6d8S+o8t27GK7KZ8ETgZ+maXMZuBId99gZjHgL2Z2t7svBFqBB9x9dvCtsxX4epF1SqGWMRHpp0OA5939BQAzuxE4EXgqrdyXgFuB91S2etU1d0lbxoSm6cFXPolbE90/xc6sTO9Gmjp7QUFrW5Zq4edkiTFfbe0dzLxlWW89IXP+tHLUQ4rz4DPrynbsooIxd38awLKs/+TxQVsbgrux4Cfx93si8KHg9tXAQ5Q6GAtaxiq8JJaI1L4W4JWk+6uBQ5MLmFkLcBJwJIMsGMs0AD1svb5CErfmGl+WS/og+0ytd23tHezROo8RTTHMoH1jJ2OamxjRFCtoqZ9hsUhKl2Yund3Ot+5cAWx9PppiEda82cG5Ny3lvJuX0tQQ0ZSzAaicM0orMoA/aMZfDLwLuMLdHwt27eTuawHcfa2Z7VjqcydaxkxvbREpTNh3uPQPkh8BX3f37mxfSs3sHOAcgLFjx5aqflWVbUHrsKAp34HPxcysDGtVy9R6l6hrcuDV1t5BLGpEjLy7KofGonR2e0HjqdZv7EypZ3Iw505BwZ1U1twlbdUZwG9m95vZkyE/J+Z7EnfvdvdJwK7AIWZ2QKEVNbNzzGyRmS1at66QpkK9qUWkX1YDuyXd3xVYk1ZmCnCjma0CTgV+ZmbT0w/k7le6+xR3nzJ6dPnGnVRSpnFgLc1NWXOK9fe4+QyeDmtVK/RreGe3M6Ipxshhsd5tzU2xjOXXb+zsV9eLxoPVpkJz3+UrZ8uYux9dqpO5e7uZPQQcS3y82atmtkvQKrYL8FqWx14JXAkwZcqU/P++EgP41TAmIoV5HNjbzPYA2oCPAzOSC7j7HonbZvY74I/uPreCdayabOs9FjPmq5iFwUvVjdS+sbNPtvzJl9ybcZmjSmR5l4GhXGP5yp7awsxGm1lzcLsJOBp4Jth9B3B2cPts4A8lr4C6KUWkH9y9C/gi8VmSTwM3u/sKM/u8mX2+urWrvrCZi5edPIEHn1lXVDb9TMdNTq4a1uqWmFBQCs3DUlvC5i5pY8Omvvm+YlHLmnpi5LBY/eePGmTKld6iqDFjZnYS8BNgNDDPzJa6+zQzGwNc5e7HAbsAVwfjxiLEP9D+GBxiNnCzmX0GeBk4rZj6hFHSVxHpL3e/C7grbdsvMpT9VCXqNJCEjQPLtMB1IS0KmcaXZZtpmW1CQaGD8jds6koZGzRn/srQMWHDhzQwfGhDaItcS3MTj7Qe2Wf9SaldEfpOTimVYmdT3g7cHrJ9DXBccPsJYHKGx78OHFVMHXLXUWPGREQqpVTZ9MNkm2mZbUJBlrkVoTp7PGX2ZqZjt3d09snMn9DW3sHkS+7FXaNk6sWIYbGyDN6HQZCBX0lfRUQqp1TZ9MNkm2mZLaN9+livpliE4UOyL8K9pr2DuUva4gFVlnI3/e0VTjm4JfR46zd2FtQiJwNbexnXCK3/YEwtYyIiFdUY2/qvpbkpFro2Y39km2mZKaN9WCC1pct5Z0v22YwjmmLMvGVZzkW6O3uc6xe+zMYcx5PaN2CXQ6oFyjMmIlIZiTFdyQHM5q7SfSHO1uoWNvA/06d+rvUem2JRzMh7lmQP6oqsd2HJjEup7oMxNIBfRKQiMo3pOrfANSYzyTXTcvrkFh5pPZIXZx/PI61H0tKPloyoGZedPKGsXVJSezIlMy6Vug/GEi1jCslERMor24zJxMzH/gZkiZQWidmaPzx9Eo+0Hpn1H2RYS1o2TbEol//bRKZPbilrl5TUnv4E9oWoyHJIVaUxYyIiFZFtLUgobI1J2LrOZPqyRvkmkk1OTZErIWxL2nqZM6eN59wMaTpkcCnVBJRs6r5lTLMpRUQqI5+WqHzzjSXGnyWCqPTejXwTySa6LrO1bIwcFgtduDzXjEupf+ld4eVS9y1jvQP4S5WaWUREQuXTEpVv91/Y+LN0hSSSzVY2sXA3xK9BiVoFYGhDhEdaj6zIueo+GNMAfhGRyklkz0/Plg+FdffkE2ilL1uUTT5dqF+5eSmLXnpDgZgAsCVpJnCiyzyR0y6sJbUYdd9NqQz8IiKVl2vmYy75tKAV8l07ny7UHodrFYhJIPEeTO4yd4qfjBKm7lvGLBGM6a9LRKQohbYOZFpjMh8zp41n5u+Xha4JmfBmSHb7THUsZDC/CGzNK5ZtGa5StY7VfcsYSvoqIlK0UrYOJNJU7NE6L2P+semTW9imMXt7QXrrWa46Jgbz/+j0SQXXWQafXGuTFjJmMZe6bxlTBn4RkeKVqnUgfSxZImBa9NIbPPjMupQWrWxLEYWNP8tWR4BZd6zQWpGSl6jBXhfclXW1hlLmohsEwZiCMBGRYuXbOhDWTQj0bouY9fkH19HZnTJovq29g5m/X5axLoks+elBYKY6Jo6XrctTJFl8Jazs75cj9h1dsvPVfTCmpK8iIsXLNBsxuXUgrNVr5i3LwOkNhDK1NKRvzRY4nXHobqGtcZnqGLHsxxPpjwefWVeyY9X9mDFTMCYiUrRsi3QnhHUTdnZ7yQOhm/72CpMvubfPmLOZ08YTi/ZNKqk4TMpBY8YKkhgzJiIihUjvcjzl4JY+47qSW6j6+88peamjfHT2eO94svSlkTQuTCpFY8YK4FoOSUSkYGFdjrcubusdq5UI1M67aWlvYJYrsWqYluYmjth3NLcubsuZcT+Tjs5uvnXnCubMX6lATCqi1OtV1n0wpgz8IiKFyzUzMWxG5CkHt/QJqmJRo7M7/HO4pbmpd7mZKbuPKqpVa/3GzqyzL0WK1dwU482OzrJk4K//YEwpLUREckrvkszUwrWmvSNjoPbgM+u47OQJvYlVo5Y5EEscK2H65Ba+deeK0HKFdmOKlMPmrh5+ePqksiwaXvcD+DWbUkQku7BkqZnG2Y5pbsqa5mL65Jbewf7ZcjQljpVch0wtWw69yypp/K9US3LLcKnVfzAWjBkz0/cqEZEwYS1dTt/AJzFOJtPA5cT2WXesyDn+K2wmZiaJ7swfnj5JLWRSVeVaSqv+gzH96YpIP5nZsWa20syeN7PWkP1nmtkTwc9fzWxiNepZrEwtXcktUskLfWdLczF3SVvOcV9hi4Znm4mZOG5i1qRItUStPG2z9T9mTN2UItIPZhYFrgCOAVYDj5vZHe7+VFKxF4EPuvt6M/sIcCVwaOVrW5xMY8SSB9gnS150Oz3NxdTZC3KeL/2Yc5e0hWbmh/ig6cRx+zvbUqRUcnW995eCMRGRcIcAz7v7CwBmdiNwItAbjLn7X5PKLwR2rWgNS2TmtPEpsyMh99T96ZNbQgcy55NrbPIl93Lxx/bvTZFxwW3LQ//JNcWizDph/7yPK1JuLSXMLZZs0ARjERSUiUhBWoBXku6vJnur12eAu8N2mNk5wDkAY8eOLVX9SiZbS1eh8sk1tn5jZ2+XY9h4tYRTDt4a8DUPiyl1hVRdKXOLJRtEwZjGjolIQcIGh4R+kJjZEcSDsfeF7Xf3K4l3YTJlypQB+WGUqaWrUDOnjee8m5bm/MTt6OzmKzcvzbpU0bULX+bahS8XXSeRUhg5LFaWtBYwKAbwxykYE5ECrQZ2S7q/K7AmvZCZHQhcBZzo7q9XqG4D1vTJLXl/2mrNSKkVTbEoF39s/7Idv/6DMY83f0fowZWNX0Ty9ziwt5ntYWZDgI8DdyQXMLOxwG3AJ9z92SrUcUAq17gakWqImvWZ/VtqgyAYiwdg8WCsynURkZrh7l3AF4H5wNPAze6+wsw+b2afD4pdBGwP/MzMlprZoipVtyLmLmlj6uwF7NE6j6mzFzB3SVtoubDUFyK1yIAzDt2trIEYDIIxY5Y0ZqzHnYjyN4tIntz9LuCutG2/SLr9WeCzla5XuaQviZQ8iD9s4fDEIPz0f1TpEwJGNMW0gLfUJAduXdzGlN1HqWWsKEnBmBrGRETChS2JdMFty3tbv3ItHJ5u+uQWHmk9khdnH8/woXX/vV/qWDmXQUqo/2AsCMEsaBkTEZG+cgVb2dajzKVUOcKm7jVK49GkKsqd566oYMzMTjOzFWbWY2ZTMpRpNLO/mdmyoOy3kvbNMrO2YKzFUjM7rpj6hErKM6ZYTEQkXK5gK9d6lNnkUyYXA06bMpYj9h1d9LFEwhjx9BVhSvEezqbYlrEngZOBh7OU2Qwc6e4TgUnAsWZ2WNL+H7r7pODnrtAjFCNtzFjvZnemX/EIdy9fW/JTiojUmlzBVtigfAOO2Hd0zoH9M6eNJxYtbryuE2+9u+4x5R2T0otFjR+ePomLP7Z/xnVXy6moYMzdn3b3rB2pHrchuBsLfirWRmW9syk9JadNV4+z9JV2vnD93ytVFRGRASvb4t8QHwN2ysEtKVOgHLjpb68w85ZlGceaJR4759SJKa0OzU0xfnT6JH50+qS8A7W29g71cEjJRQzmnDqxN/HxZSdPoKW5CSN8UftyqMioymDB3cXAu4Ar3P2xpN1fNLNPAouA8919fYZj9G85kaBlzNLyjHUHkZn+sEVEwpdEOmLf0cyZv5LzblrKmOYm3tnc1eebdGdI5taOzm7Ov3kZAIteeoMbHnuFbneiZpx12FgunT6ht+zU2Qvo7NYHsVRPj5PyPp85bXyfxezLLWcwZmb3AzuH7Pqmu/8hn5O4ezcwycyagdvN7AB3fxL4OfBt4l+wvg1cDnw6wzH6uZxIeMtYjzv72ypWek2u6ysiUnLJSyKFpbIoRLc7X7lpacqqwN3uvcsbJQIyLQAuA0Hi/Z0tZUs55eymdPej3f2AkJ+8ArG0Y7UDDwHHBvdfdfdud+8BfgUcUugx8zgpEKS2SGoG61n3LPOGfoOZDTeV/JQiIrUqMf7r3JuWZlzAO189Gbbf8NjW9dfLPTBapFCVSGWRruypLcxsdNAihpk1AUcDzwT3d0kqehLxCQGlPX9iAL85PclNY2/9E4CJkRdKfUoRkZqUnGssX7GIFTw4vzvpi7Gy9ctAVOkW22JTW5xkZquBw4F5ZjY/2D7GzBIzI3cBHjSzJ4iv9Xafu/8x2Pc9M1se7DsCOK+Y+oTWMem7WY9vvd0d3HZXRn4REQjPNZZu+JBoyuDmOadNZM6pEwte2+TCufFB/t+6c0XRLXAipRYxy7jcVzkUNYDf3W8Hbg/ZvgY4Lrj9BDA5w+M/Ucz585HcNek9SYFZcFvDRkVE4vJpDXhnSzfvbOmgJW25pG/duYL1G/Nf8ujahS9z3cKX9RksA1K3O+fetJRFL72RMuGkXOo+A78ltYZ5z9ZvX72zKbVWpYgIUNj4rfQUFoUEYgkKxGSgu3bhyxVpIav7YCz5z70npGVMRETiCh2/lRjoXMnuHJFKq8Rg/rpfvTW1Zayr93ZiLL/pu5mICNA311jELGWwfZg17R0Vn3kmUkmVGMw/uIKx5NQWnlhAXEREErLlGguTyLovUq8qkX6l7oOxlG7K7u6k2/FWMjO1jImIhEluKWtr78DQOC8ZXGIRK/u6lDAYgrEMsyk9CMzUTSkikll6S1kiMBMZDOacNrEimfjrfgB/cp6x5NmUvS1jCsZERPIyfXILj7QeqeEdUpOiNnDfuXUfjOHhSV8Tg/kjCsZERAqSaQzNyGGxCtdEJH+5JqOEqdTklLoPxiz5yU8OzNQyJiLSL2EpMJpiUTYpk77UmUoti1T3wVjycNPUbkqNGRMRyUdi8fA9WucxdfYCAC47eULKskinHNxCR6fyN0p9qdRC9nU/gD81z5i6KUVEckkM1F/T3kHzsBgbNnXRGSRnbGvvYObvl7FNYwPtGzsZEyyLpFxjUm+aYtGKzKSEQdAyltzylTJmrDuRAFbBmIiEM7NjzWylmT1vZq0h+83Mfhzsf8LMDqpGPUspkVusrb0DJ77MUSIQS+jscdZv7OzNMZYoL1IvIhZv/a3ETEoYBC1jpARgyQlg492UahkTkTBmFgWuAI4BVgOPm9kd7v5UUrGPAHsHP4cCPw9+14TkFrDkFq5sSV7DFFpeZKCr9MzLug/GUlJb+NYPDNcAfhHJ7hDgeXd/AcDMbgROBJKDsROBazy+vMdCM2s2s13cfW3lq1uY9Oz6iRYuBVYi8dbfOfNXMn1yS+iXllK3mNV9NyUZZlMmBvOrZUxEMmgBXkm6vzrYVmiZASmsBayjs3tA52ISqaQ17R19uu0TX1rmLmkr6bnqPhhLGTOWNICf7s5gv4hIqLCPh/Rvb/mUwczOMbNFZrZo3bp1JalcsTJN2e9275O2AkAxmgw2Dpx/87LQLy2lnrBS/8FYxtmU8dvqphSRDFYDuyXd3xVY048yuPuV7j7F3aeMHj265BXtj0xT9qNmoV2V7vryKoNPpkSxpc4/Vv/BWHKeseSkrz0aMyYiWT0O7G1me5jZEODjwB1pZe4APhnMqjwMeLMWxotBeOJWyJ6lXJ+WInGlzj9W9wP4U5O+bg3GrDfPmJIUikhf7t5lZl8E5gNR4DfuvsLMPh/s/wVwF3Ac8DywEfh/1apvoRIDkBMDkyNm/VouRmSwKUf+sboPxpK7Kenp2nozCMw0gF9EMnH3u4gHXMnbfpF024H/rHS9SmX65JbeoGyP1nlVro3IwGfAKQe3aDZloVJTWyTPrNRySCIiCZVa9kWkljnw4DOln4RT/8GYJ8+mTMoz1tsypm5KEZFMY8hEBqNsKV7KsXh4/QdjycFWSpdlPDBrUDAmIsL0yS1cdvIE5RmTQSf9Hd8Ui3L5v02kJUNrcTlakes+GEvphezpm42/wbrp6VFXpYgIZJ9NKVKP3rXjcFqamzCgpbmpd03KI/YNT0OTaXsx6n8APz10eYQG60lJbZHopmygi86eHoZG1DwvIoNXItO4yGDz/Gvv8MPTJ/UZlJ9pbJjGjPWD4XQTD7SSU1skuiljdNOtljERGeT6s0C4SD1wCM2on2lsWDnGjNV/y5j30B3EnCkLhXuiZaybLgVjIjKIzV3SRlsZ/sGI1Iq29g6mzl6Qshj4mOam0L8LjRnrB6OHrkTLWFI3pSXGjNFNV7eCMREZnNQ9KRIfxJ++GPi47ZtCB/eXOuErDIJgLEJPbzdlygD+oDUs3jKmGZUiMjipe1Kk71JfHZ3d/PUfb6RsL1fCVxgU3ZROl8WDsZ6ekJYx66G7W8GYiNSeuUvaepczSnStJP+jyLUfUPekSAbpAVq5Er7CIAjGInRvHcDv4TnHujq3AMMqXDMRkf5LdC8mWrUSXSsQzxmWa3/iGIYWABfJVzkG78Mg6KZMnU2Z1BSfNJi/u6uz0tUSESlKWPdiR2d376ywXPsTZRSIieSvXMuGFRWMmdlpZrbCzHrMbEqOslEzW2Jmf0zaNsrM7jOz54LfI4upT5iI99ATdFN294S3jPV0bS71aUVEyibb7MfEN/dM3+Db2jvYo3UeU2cvUBelSAHKNXgfim8ZexI4GXg4j7JfBp5O29YKPODuewMPBPdLyuih2+K9scktY5bSMtZV6tOKiJRFrtmPzcNiTJ29IGuLV2LGmBY+knpXivd4emb+cihqzJi7Pw1gOdYyM7NdgeOB7wBfSdp1IvCh4PbVwEPA14upU7rk2ZQ93cl5xrZ+VHV3bSnlKUVEyibb7MdY1NiwqYv1G/MbeqEuSql3xb7HRw6LseSiD5ekLtlUagD/j4CvAdumbd/J3dcCuPtaM9ux1Cc2d3oi8csMm00J8TFj/9qwmSmX3t+7bdXs40tdFRGRomUbQDx8SAPtHRoDK5LQ0tzEsCERnnvtnX49vlJLtebspjSz+83syZCfE/M5gZl9FHjN3RcXU1EzO8fMFpnZonXr8p9aGmHrmLGelAH8yWPGtqQEYgBnXLmQca3zWP+OWs1EZODINIC4pblJgZhIEgPGbd/E8/0MxADeDP6m5i5pY+rsBb3jLecuaStRLeNyBmPufrS7HxDy84c8zzEVOMHMVgE3Akea2bXBvlfNbBeA4PdrWepxpbtPcfcpo0fnv2K60UNPYsxYd/KYseRgrO8H2KMvvA7A5G/fl/e5RETKbea08TTFoinbEtnDRWQrhz6JWws1prmpd5xmeob+UgZkZU9t4e4XuPuu7j4O+DiwwN3PCnbfAZwd3D4byDfAy1vEe/Bc3ZSd2b9NLlr1RqmrJSLSL9Mnt3DZyRNoCVrIlCdMJJxZcX8biS8559+8LGeamGIVm9riJDNbDRwOzDOz+cH2MWZ2Vx6HmA0cY2bPAccE90sqgtMTiQHpeca2BmZbOjdzVvQ+VjXO6P1JduovHuWOZWtKXTURKQGLO8vMLgrujzWzQ6pdr3KaPrmFR1qPpKW5SYGYSIiIFT/eK/Hw7gwHKmUC2KKCMXe/PWj1GuruO7n7tGD7Gnc/LqT8Q+7+0aT7r7v7Ue6+d/C75E1QEbohMWYsZaHwrbdf+Gc7l8Z+m/K4RFA2gg0A/NcNS0pdNREpjZ8R/0J4RnD/beCK6lWnMrLlGhMZ7LZrjJX9HKVMADsoMvB7b8tYeNLXP69cm/HxyxrPKVvdRKQkDnX3/wQ2Abj7emBIdatUXrlyjYnUu2wJtZqbYmWfzFLqBLB1H4xF6IFI2ELhW2/HNmTvgjy/4ebyVE5ESqHTzKIEvQpmNhroyf6Q7PJZHcTMdjOzB83s6WAlki8Xc85CZMs1JjIYZOuB7E8gFjXrTe7a3BTeqpZcptQJYAfBQuFb84xlGjO2h2VuGQP4UsNclvbsxT/WfZC9Rm9TlnqKSL/9GLgd2NHMvgOcClxY5DETq4PMNrPW4H56Quou4Hx3/7uZbQssNrP73P2pIs+dU7kWKxYZrLrd+dHpk5g+uaW35Tn5C09TLDpwM/DXggjduPWdTRmhmx6MCM4p0dyrOf16yOUs6fhS2eopIv3j7teZ2WLgKOK9F9MTq4MUIefqIEHC6kTS6rfN7GmgBSh7MDamuUnjxURK7LyblrLopTe4dPoEIN4Cvaa9gzHNTcycNr5sgRgMgmAsivemtkhtGXM6iTGULYyNxJPIdu13Eg1H/zf85KDQY131lxe5YkbJ1zIXkSKY2VhgI3Bn8jZ3f7mIwxa0OoiZjQMmA48Vcc68zZw2vs83dxEpjgPXLXyZKbuPYvrklrIGX+nqOxgLWsISLWPuqXnGtliMob41w37De/8TRu2Z8XBLX24vTz1FpBjziH+OGtAI7AGsBPbP9iAzux/YOWTXNws5uZltA9wKnOvub2Uocw5wDsDYsWMLOTwQH7Cf/C39iH1HM7QhomBMpMSceItYJQMxqPdgLBF8BQP4k1vGzJ0u0gbpjR4fzxL3wa/Dn77b53DqFhAZeNx9QvJ9MzsI+Pc8Hnd0pn1m9qqZ7RK0imVcHcTMYsQDsevc/bYs57oSuBJgypQpBWU/Sh+/0tbewbULi2n0E5FsqjEms75nUwbBWO8A/uSWMbrZYmmz34cMj/8+4hsw680+hzN6eLKt73YRGTjc/e/Ae4o8TM7VQczMgF8DT7v7D4o8X0aaOSlSuEi23Bc5lDJ/WL7qPBgLPsASeca601rGLK1lLJK63lu66ZFH+OhP/sIVDz5f0mqKSP+Z2VeSfr5qZtcD64o8bOjqIGmri0wFPkF8vd2lwU+fZNfF0sxJkdwsKfiKGPQ4jBwWy5imoikWZepeo/rkKzPgiH3zX/+6VOo6GOvp7gKgOzoUgEjP1twj5t19g7F0kdRe3J1tPRD/prpJ31RFBoptk36GEh9DdmIxB8y0Okjy6iLu/hd3N3c/0N0nBT/5LANXkGp8SxepNe5w1mFjaYpF6QkGAqzf2Mnmrh5+dPokfnT6JFqam1LyhF33ucM587CxKQGZA7cubivpIuD5qOsxY12dWxgCdDcMA8B6tg7WN5zN1th7f62PYpf0A3xjLVy6NUL+euxGft59AgCz736GWSdkHR8sImUWJHvdxt1nVrsu5aKZkyL5uW7hy32SwSYW9H6k9cjQQfkPPrMu42M0m7JEerriwVdXQzAWrDu1Zezt6NY0FbtYyLKYDUPgM/fDr7eO893D1vKi78Lv/rpKwZhIFZlZg7t3BQP261biH0JiNmXzsBhvbuwsbokBkTqUaWZMoqt/7pI2vnXnCtZvjMcC2ZZNqvTwgLoOxrZs2UwjQMNQuohC1+befRF6cNvaS7thj2mE5tbfdUrK3QeHns+1XUdxYddnylJnEcnb34CDgKVmdgfwe+CdxM5ssxtrTXrOo+RUFxEzur2gCZoig8qY5ibmLmlj5i3L6Oze+reSbdmkSg8PqOsxY1s2bwIg2jCELoth3Vu7KSPeTY9tHbC/zdurwg9ifadknNXwAADXPJrhMSJSSaOA14EjgY8CHwt+163pk1t4pPVIXpx9PD0KxER6pf/HTizoPWf+ypRALJ/HVFKdB2PxlrBobChdFiOSNGYsSjc9ltQwePTFBR37qMhiLvrDipLUU0T6ZUcz+wrwJLA8+L0i+P1kNStWSRrgLxLXFIty5mFj+wzUnz65JWu3owdly7UIeD7qu5uyMx6MNTQMoTtHyxi7TCzo2D+L/S/jN19Dx5ZumoZkT4khImURBbah7xdbyDx8pGYluibb2juIBl2TLUE2fiWBlWpZNft4Jl9yb+84rGqJmnHKwS2960qmy7aea0tzE4+0HlnO6uVU18FY55agZWzIULotlpLaIppYQPzc5bB2GYzYtaBjD7V42ozjf/JnFpz/oZLVWUTyttbdL6l2JSohPQt/YoxYW3sH1ykQkyqau6SN9ioHYhD/m7h1cVvvupLpZk4b32fMGEAsYhXvkgxT192UnVviLWENsSF0R4akdlMmWsaax8J+H8t6HB+2fej2D0WW8sK6d0L3iUjZFZFju7Zky8Jfd02AUlPOv3lZxvfgyGExmmKpPUeJP9qQ4dgp+/sjkZIizPTJLcw5dSIjh23NL9rcFGPOaRMr3iUZps5bxuID+GNDhtITGUI0aVHwCN0QzZH0NWDHfhdu+2yf7b8b8j3GbbqeNzd2MmJYfscSkZI5qtoVqBRl4ZeBKtNM3ljEuPhj8fRPie51Y+uXh7CHxSJGZ09xXy+y/a2kz0oeSOq6ZWzXEfEAaeeR29ITjdGQ3E3p3TmXP+rVMCTjrqFs4au3LCuqniJSuERW/MGgWV/2pNYETVyJmb8tzU05W3G3aWygpcgJKbU6oaWug7HtR4+B/U+meYcWPDqEqHeypSueKjFKF1ieDYMtB2fcdUnD77jvqVdLUV0RkT7mLmljw6aualdDBrH+LLrd2e3Mmb+SC+cuZ68L7so4eD5Z+8ZOZk4b36drMxY1YmmViEWMWDR1W3pKirlL2pg6ewF7tM5j6uwFFV/iqBB1HYyx8wFw2m9hh3dhDY0MtU7Wb4x3VUYL6KbMNrj/9IaHAOjqVj5sESm9OfNXFt11I9Jfsagx49CxfQKkfLS1d3DtwpfzTko8prmJ6ZNbuOzkCSmpJuacOpE5p01M3XbaROacOjFjSorEpJe29g48qMt5Ny3lwrnLC76OSqjrMWPJrHEE27KW1zdsYaftGol6DxYp1eU71z32Mme/d1yJjiciEpfveDGluZBSM2DOqfEB7lN2H9U79qscYtGtsxozje3KdxuET3px4utXZppxWU313TKWJDKsmWbbwBvvbAF3YtYN0dIEY5+J3s3FdygBrIiUXj5jYBJ5kjLlWBLpjxFNsd6gJXnsVz4KbkkrceNvpi8xDhlnXFbToAnGYttszwjeYd2GTXhPfPyFFRKMTfufjLv+O3ZtsdUTEQkVNoYmWfo4mWIHQIskvBmydmOu9yPE34OnHFxYy1Nnj5c0SMr2JWYgzk4eNMHYNs070GRbePm19XR2xt9gFilghtKhn89Z5OFn1/W3eiIiodLH0DQ3xXpzJUXNenMrJQYnD4QEllIfwgKaxPsx05j+luYmZk4bz62LCx8sX8ogaea08RnrOBBnXA6aMWOx4aMA+Oer/2TLlhaGUGDLWI40GMdEFvHJ38SXhhARKaX0MTTpGfnb2juYecsyzr95KRnWQhYpSK7FsjO9zda0d2RNUnzWYWN58Jl1oWPPShkkTZ/cwqKX3uC6hS+n1LUai4DnY9C0jNE0EoDXXv0nHe9sAKBh6LDCjnHeUxl3/WrID/pdNRGRQoT9s+vsdgViUpSRw2J5LZadrTtxTHNTxhYuAy6dPiG0q7McQdKl0yfww9MnVX0R8HwMmpYxhu8AwOb1baxet57RQMPQAqPwES0wdDvY/FbGIq+8sZHdRhUY5ImIFGAgjnmR2nbWYWPzngCS7f03c9r4jLMuEy1fiWBozvyVrGnvYEzQtVmOIGkgZ91PNniCsR3jyzLsZy/x6DNtTAaGNA4v/Dhn3AC/C++K3Mde4f3fe1BdlSJSNhfOXa71KKXk8g3E5i5pI2IWmjts5LCtsy+Tu9Ghb8tXrQRJlTJ4grHh2+PbtXDQ26v51fJVfCEKsf4EY+Pel3HXvUO/zrhN1xdRSRGRvuYuaStrjieRuUvasgZHc5e0MeuOFbSHzLCEeLB1/IG7MHX2Ata0d9A8LMbQhghvdnSWteWrXgyeYAywnQ9kypZnuGrTJojC9s3bleU8a9/sYJcRA2+2hojUnvTB+iLlMPP38TWWwwKmXO/BqBmnHNzCrYvbesus39hJUyzKD0+fpCAsD4NnAD/AzhPYYfNLNFt8AP/I7UofjA1lC4dftqDkxxWRwSnbzDSRUunscWZlSF6e6z3Y486Dz6zrUyaRdkVyKyoYM7PTzGyFmfWY2ZQcZaNmtsTM/pi0bZaZtZnZ0uDnuGLqk9Nuh2Lew3f3WwVApKm5f8f59z9n3LWy8VP9O6aIDBhmNsrM7jOz54LfI7OU7fPZVkoarC+V0t7RGbqgdq73YLYZlOpaz0+xLWNPAicDD+dR9svA0yHbf+juk4Kfu4qsT3Z7vB9iw9nhH7fG72+7S/+Os3PugY6/eviF/h1bRAaCVuABd98beCC4n0mmz7aSGIgJKqV+tbV3cMFty1MCsmzvwcTA/ExlDPoEd9JXUcGYuz/t7jnbIM1sV+B44Kpizle0hqFwwElb7w/fvn/HsUx5fePeZav5zl1l+2wWkfI7Ebg6uH01MD2sUCU+2/JZfkaklNK7FzO9B0cOi/Xm7cqU8X6grgU50FRqzNiPgK8BPSH7vmhmT5jZb7J1BZTMlE/Hfw/ZprjjHDs74677h34NgNfe2lTcOUSkWnZy97UAwe8dM5T7EZk/23qZ2TlmtsjMFq1bV9iyaenLIbU0N/Gj0ydlXOqlUqp9fimv5G7HTO/BJRd9OGUh8WxZ+SW7nLMpzex+YOeQXd909z/k8fiPAq+5+2Iz+1Da7p8D3yYePH8buBz4dIbjnAOcAzB27Nhcp82s5WD4f3fDqD37fwyAKZ+Be7L1XDiH/M8DyjkmMkBl+2zL8/HZPttSuPuVwJUAU6ZMKThNWCInUyLFxbk3LS30ECUXixpbBnHK/6hR1ysepHc75pMXrKW5KXSMmANTZy/oTW+ReB+XO+FrLckZjLn70UWeYypwQjA4vxHYzsyudfez3P3VRCEz+xWQcQBssR9mKXZ/b1EPB6BhSNbdsxquZlbXp+jY0k3TEHUxiAw02T7bzOxVM9vF3dea2S7AayHFMn62laO+Ay3FxWAOxKC+A7FYxPq1NNHMaeMzvkcTY9EWvfRGSgqMxHYIT6sxWJS9m9LdL3D3Xd19HPBxYEHiwyr4kEs4ifiEgLrwqYZ7AdjvonuqXBMR6Yc7gLOD22cDfXoBsn22lYNSXEilbNPY0K/AKLk7M0xHZzc3PPaKUmCEKDa1xUlmtho4HJhnZvOD7WPMLJ+Zkd8zs+Vm9gRwBHBeMfWpuM9lzye2p60B4I13tlSiNiJSOrOBY8zsOeCY4H4hn20lp3E3krBq9vFlHbPXvjE8y34+pk9u4ZHWIzPWL2wZJdD7u9jZlLcH3wyHuvtO7j4t2L7G3fvkDHP3h9z9o0n3P+HuE9z9QHc/ITFgtma0HJx194KhXwXgoG/fV4naiEiJuPvr7n6Uu+8d/H4j2J7XZ1s5KMWFQDzbPZT3/VCKY2c6RjRDNoLB/v4eXBn4q2Avi+dX+ckDz1W5JiJSywpJcREhPsBeqiMCRCP5P/+FvFJnHLobEH8/xDKcIxYx9t6xH2sv03dB7/4Ke782xaKccehuodtLcc5apmCsWAecknX3A0NnAnD5fc/S2Z119ruISK+5S9qYOnsBe7TOY+rs+JCIy06eQHNTrE/ZoQ2pH+U9QGeOEeaJf+OJloqW5qZ+/wOXrYz487/t0AaGp03eKiY8jhhM3WsUDz6zjnGt8zj/5mV09njoMTt7nBfWbSz4HC3NTb15w/or8b4976alNMYiNDfFetNhXHbyBC6dPqFPmoxiz1kPBtVC4WVxwk/hyVuzFvlgZBl/6pnI3t+8W6kuRCSn9JmTiRlnpxzcwuau1C91TbEopxzcwk2Pv5IzAEvWEDHmnDax95/ghXOXc+3ClwuuawQ4fK9RPPKPNwp+bL1IvAbJswTbO+ILZf/o9EkAzLxlWcbXJ3lrLGL0AN093qfQ31at7z1GYuxVplc809ispliUg8aOCH29jth3dNGBWPL7NtNi4fmkyRhs1DJWrCHDcha5esh3SfzJHP/jzOtaiohA+MzJbDPRbnissEAM4q0nyTPYbnjslX7VtQcGdSAGuWcJzpm/Mu/Xp7PH+wZi5NfamW9dM71e/X0PJGR63w72mZL5UDBWIasazwRgxZq3WPjC61WujYgMZJlmlmVq7ci0vZDz9PcYEpdtlmCtzBQs9j2Q6Tpr5fqrScFYKZxxY17Fjo4sBuDjVy7Um1NEMip0Jlqm7YWcp7/HkLhsswRrZaZgse+BTNdZK9dfTQrGSmGfY/MqdtWQy2lkMwDvnb2ADZu7ylkrEalRhc5EO+PQ3QqePZmeZT0xS69QEeIDywezXLMEZ04bn/frE4tY6EzMUs2QbYpFM75e/X0PJGR63w72mZL5UDBWCgV8m3im8f/13j7g4vmaYSkifYQtzJxtJtql0ycw59SJjBzWd6blyGExzjpsbMq+5qZYyuB9gEunT+Csw8ZSQEYGmmIRfnD6JK773OEFP7Y/YhF6zxGx1H9gidmGYc9BmGKqOqzAWYLTJ7f0eX2aYpHe+8kzWuecNpHLT5vY5/X6wemTmHPqxN7s9smPOeuwsX22J36PHBbrU9fE65Vc9qzDxnLp9AlFPCuZ37carJ+beQ2OE5gyZYovWrSo2tVIdc10eOHBvIuP23R97+2nLzlW61eK5GBmi919SrXrUawB+fklImWV6/NLqS1K5Ywb4Ds75118VeOM3oBsv4vu4b7zPsDeO21brtqJSB26cO5ybnjsFbo9nm8q/at1S3MTR+w7mgefWcea9g7GNDf1dhnNmb+SNe0djGiKYRZfAmdMUvm29g6iZnS7hx4n+X7zsBju8GZHJyOaYmzp6mZjZ7zVf/iQKLFohPaOvkvsNMUiXHbygSn1iUUtZRHyvXcczsYtPSnnnffEWtbnsWRPxKDHCX1uwhgwpCHSmz4k8bj0xxtwZj9akuYuaeu9zjHNTYzbvomFL6yn252oGWcculvRrVPF1GfmtPF5tWL193GSmVrGSmnWiIKKv+7bcvDmX/be3337Yfxp5hGlrpVIXVDLWKr+5gWLRQ08nkJhoIhFbEDVJ1+FdO2l5+AqxTGLEVafplg0Z7difx832OX6/NKYsVLas7BAant7m2eHfqL3/kuvb2Rc6zz+tWFzqWsmInWmvzmhOrt9wAU+A60++SrkNQjLwVXsMYvR35xgyiVWHgrGSunM3xf8kCHWzarGGSQ3gk+59H7+87q/l7BiIlJvlBes+gp5DfJNZ1Sp17W/OcGUS6w8FIyVUjS/WTxhVjWeyW72au/9ecvXMq51Hm9tyj0uQkQGH+UFq75CXoN8c21V6nXtb04w5RIrDwVjpXbyVf1+6J+HnsdNQy5J2XbgrHsZ1zqPWhzbJyLl09+cULGoESt3DooCDbT65KuQ1yAsB1exxyxGf3OCKZdYeWg2ZakdeBrc9tl+P/zQyDOsapzBxE1X8ibb9G7f44K7+PmZB/GRCbuUopYiUiMyzVybsvsoblu8unfWYphssyln3bGizwzHqBmH7TmSp9a+nTJb0YCGCGQ5Va+mWASDlHplm8141mFjmbL7qN5rjBikL8GYmNWZ+G0G+Xw/TcymzFf6bMps5dJnU4a9TkDKtlMObkl5Lco5mzJ5pm3YsROD7QudFdnfx0l2mk1ZDv/TAls2FH2YO7oP5786v9Rn+8cmjuEnZ0wu+vgitWQwzqbMNHPtlINbuHVxW9YB4dlmuGWb2ReLGt3dTn/TUccixumH7JazfmH1nLukjZm/X5b3gP5hsQidPZ6ygHb68dKvMxYxsL6Lbo8cFuPij+3f+3zlM2swEYC1tXfklT6jFLMO80krkWmmbaVmaiZTGow4zaashq+/VJLDnBB9lFWNMzgykjqY/85laxjXOo/3fXeBMviL1LFMM9dueOyVnIFOthlu2Wb2dRYRiEF8ZmQ+9UtIruesO1YUNLNyY2dPn6Aq+Xhh15kevCWs39jJBbctZ+6StoyPTT52IlhrCwau51PrYmcdJp/Tgbb2jpQ6J2SakVmpmZoJ+dZXFIyVR7S0vb+/GfJ9VjXOoIHUtSxXr+9g72/ezbjWeTy15q2SnlNEqi/TDLV8Z9y1tXeE/uMr98y3QmcEtrV3MHX2gtDEsP2RuL5CrzM5WMo1azDfVBWZHh/mwrnL2euCuxjXOo+9LriLC+cuT9mfb1qJTM9/tzvjWucxrnUek751b9mDIqXByJ+CsXK56I2SH/L5xk+yqnEG77LVffYd9+M/9/6RKU+ZSH3INEOtkBl3YS0RA3HmW1sJA8TE9fXnOhPBUq5Zg/0NaDMdN9G1mAikut25duHLKQFZvmkl8nl/tHd0MvP3y8oakCkNRv4UjJVLJAo77l+WQ98/9GusapzBAfZC6P4pl97PuNZ5HPn9h9jUj29uIjIwZJq5dsahu+W90HVYS8TMaeOLWig7H9WaH5k8sy/s+cs1czMRLOWaNdifQC/brMN8uhbzTSuR74zMzh4vayuV0mDkT8FYOX3hr2U9/B+HXsiqxhn8b+ynREJGebzwr3fY97/vYVzrPH7ywHNlrYuIlN70yS1cdvIEWpqbMOKzIy87eQKXTp/AmYeNzTvgSW+JmD65Ja8xTgnDh0Rpbiosj6JDSr333nF4QY/vr1MObukdIB72/M05bWLWxyeCpUzPfeLY+aaqSBg5LJZ18H62rsXkuuWTVqKQQfrlbKVSGoz8KbVFuX31Ofj+3mU9xYnRv3JiNB74Xdj5/7i2+2jSv5deft+zXH7fswDc9oX3ctDYkWWtk0gtM7NRwE3AOGAV8G/uvj6kXDNwFXAA8fjj0+7+aCnrMn1yS+g/8EunT2DK7qM4/+ZlOcdohbVEtDQ3Ze0abGlu4pHWI3PWb+rsBaHHSX98vmszNjfFGD60oXcB8vaOzrzSWCTcuriNKbuPSgnI0p+/xAzIsHMnl8303Cf2ZTtW8jFnnbB/zhmEibQdYdvDzplrdmKu1zehnK1USoORP6W2qIS7vw6P/aLip/3klq/zcE/2b4F/+M+pTNytuTIVEilCJVNbmNn3gDfcfbaZtQIj3f3rIeWuBv7s7leZ2RBgmLu3Zzt2qT+/cgU5mdIpZHtcISkY8l04OlPQluu8oekpcix2niuQLPVi16U4XqnTUeQT/MYixpzTJio4qoBcn19qGauEj3y3KsHYNUO+23v7vZt+zBp26FPmxCse6b39/dMmcurBu1akbiID3InAh4LbVwMPASnBmJltB3wA+BSAu28BtlSqggnprQ/Nw2K4w5sdnVlbItJbdhItMy0Ftl7k2/qRrTvMIOPjMh0f4NybloYeL1fXW6lbbEpxvETAlS1RazF1GtEUo7O7h3e2xIOzfFvspDLUMlZJs0ZUuwY81bM7J2z5Nl054vCFFxzFziMaK1Qrkdwq3DLW7u7NSffXu/vItDKTgCuBp4CJwGLgy+7+TrZj1+znV5Hy7c6s9jFFykFJXweSWW9Wuwa8O/JSb4qMSxt+HTrwH+Cwyx5gXOs8/uuGJfQUsp6ISI0ws/vN7MmQnxPzPEQDcBDwc3efDLwDtGY41zlmtsjMFq1bt65EV1BbyjGYWwPEpV6oZawaBkALWbqne8Zy8pZZdJC5Nez/PnMI7997dAVrJbJVhVvGVgIfcve1ZrYL8JC7j08rszOw0N3HBfffD7S6+/HZjl3zn19FKMfSOFpuR2pBrs8vBWPV8vtPwYrbq12LUIt69uHULReTKVPQZ9+3Bxd+9N2VrZQMehUOxuYArycN4B/l7l8LKfdn4LPuvtLMZgHD3X1mtmPXxeeXiBRE3ZQD1Wm/gy88Vu1ahJoSeZZVjWeyqnEGe9qaPvuv+suLvV2YtRjMi+RhNnCMmT0HHBPcx8zGmNldSeW+BFxnZk8Ak4D/qXRFRaT2qWVsIPjVkdC2uNq1yOoN34b3bP453fRNcjh90hh+9PHJVaiVDCaVbBkrp7r7/BKRnNQyVgs+twAuWg8HnV3tmmQ0yjbwj8ZPsKpxBrvbP1P2zV26hnGt87j+sb45ckRERCQ7BWMDRSQCJ/w4PuPy1N9WuzZZ/WnoV1jVOIOx9mrK9m/cvpxxrfP4x7oNVaqZiIhI7SkqGDOz08xshZn1mFnmWQJmq8xsuZktNbNFSdtHmdl9ZvZc8Ftr9AAccHI8KJv5Agzrm6h1oHh46HmsapzBbmlB2VGX/4lxrfPo2KJFykVERHIptmXsSeBk4OE8yh7h7pPS+kxbgQfcfW/gATLk6Bm0hm8PX/tHPDD7j/IuOl6MPwdB2bZsTNm+30X38OUbl1SpViIiIrWhqGDM3Z9295VFHOJE4kuNEPyeXkx96tpO+8eDssTPBW1wyL9Xu1Ypljd+loeHfJn4eslxfwjGk926eHX1KiYiIjKAlWQ2pZk9BHzV3UOnCJnZi8B64v+lf+nuVwbbcy45EkazkXJ47Rm49hR4q3oB0H3dB/G5zq/22b7y0mMZ2tB3RqZILppNKSK1quiFws3sfmDnkF3fdPc/5FmPqe6+xsx2BO4zs2fcPZ+uzeR6nAOcAzB27NhCHjr47LgvfGVF3+3dXbDsBrjji2WvwjHRv7MqOoP3bf4Rq33H3u3jL7yHc4/em3OP3qfsdRAREakFFWkZSys7C9jg7t/PZ8mRMPpmWSZdm2HVn+H606Gnq6SHHr/pd2xmSMq2G885jMP23L6k55H6pZYxEalVVc8zZmbDzWzbxG3gw8QH/gPcASSSa50N5NvSJuXQMBTedTRc9Hrq+LTzV0LTqKIOvbLxU3yt4caUbR+/ciHjWufR1t5R1LFFRERqWbGpLU4ys9XA4cA8M5sfbE9eMmQn4C9mtgz4GzDP3e8J9oUuOSIDzLY7w9df3Bqcveez/TrMFxruYFXjDLbjnZTtU2cvYFzrPHp6am81CBERkWJpOSQpzrP3wvWn9euhe266lp607wNfPmpvzjtG48mkL3VTikitqno3pdS5fT4cby37738V/NAXGs/iV7Hvp2z73weeY1zrPJa90l6iCoqIiAxsCsakNKKxeFB2cTuc8uu8H3ZM9O+sapzBXtaWsv3EKx5hXOu8EldSRERk4FEwJqVlBhNOjQdmH/tx3g97YOhMVjXOoIHUWZzjWufx/fnF5BUWEREZ2BSMSfkcfHY8KDv3ydxlA883fpI5Db9I2fbTB59nXOs8nn/t7VLXUEREpOoUjEn5Ne8WD8rOuDF3WeC0hodDFyA/+gcPM651Hm+8s6UctRQREakKBWNSOeM/Eg/KPnVX7rJsXYDc6EnZftC372Nc6zw6u3syPFJERKR2KBiTyhs3NR6UfenveRV/sfEszm24pc/2vb95Nyde8UipayciIlJRCsakerbfKx6Ufeb+nEXPbbiNVY0zODqyOGX7slfaGdc6j5888Fy5aikiIlJWCsak+nZ7TzwoO+u2nEWvGnJ5kMV/Q8r2y+97lnGt87jvqVczPFJERGRgUjAmA8e7jgqCsltzFn2i8RxWNc5gKKmD+T93zSLGtc5j7Zta71JERGqDgjEZeN51dDx57K6H5Cy6svFT3DXkAiB1Wa/DL1vAId+5X+tdiojIgKdgTAYmM/jsffGgbLtdsxZ9d+QlVjWeyX9FU7s5X3t7M3t+4y7OuHJhGSsq9cjMRpnZfWb2XPB7ZIZy55nZCjN70sxuMLPGStdVRGqfgjEZ2MzgKyvgojfAolmLfiV2C6saZ3CIPZ2y/dEXXmdc6zzOvGoh7mopk7y0Ag+4+97AA8H9FGbWAvwXMMXdDwCiwMcrWksRqQsKxqQ2RKJw8Rt5LUh+89Bvhy6t9Mjzr7PHBXfxs4eeL1ctpX6cCFwd3L4amJ6hXAPQZGYNwDBgTfmrJiL1RsGY1JbEguQXrc9Z9PnGT7J46L8TSUsa+717VjKudR7nXLNIY8okk53cfS1A8HvH9ALu3gZ8H3gZWAu86e73VrSWIlIXFIxJbYpE4kHZBW1Zi21vb/NC41ksGPIV0gf53/vUq+z5jbvY84J56r4chMzs/mCsV/rPiXk+fiTxFrQ9gDHAcDM7K0PZc8xskZktWrduXekuQkTqgoIxqW1DtwmCstVZi+0Z+SerGs/kx7Gf9NnX47DHBXfxHs2+HFTc/Wh3PyDk5w/Aq2a2C0Dw+7WQQxwNvOju69y9E7gNeG+Gc13p7lPcfcro0aPLdUkiUqMUjEl9GLptPCj72otZi50QfZRVjTP4XsMv++xbF8y+HNc6j/VajHywuwM4O7h9NvCHkDIvA4eZ2TAzM+Ao4OmQciIiWSkYk/oybFQ8KDvjxqzF/q3hT6xqnMGqxhnE0gb6A0wOFiN//rUNIY+WQWA2cIyZPQccE9zHzMaY2V0A7v4YcAvwd2A58c/TK6tTXRGpZVaLY2WmTJniixYtqnY1pBa0LYZfHZlX0XdtuoYuGkL3ffZ9e/DN4/cj3gAi1WBmi919SrXrUSx9fokMPrk+v9QyJvWt5eB4S9m5y3MWfb7xk6xqnMEQOvvsu+ovL7LHBfEuzI1b+rakiYiI9JeCMRkcmsfGg7Iv/T1n0Wcbz2ZV4wzeY8+E7n/3RfO1KLmIiJRMeJ+MSL3afq94UNa1Bb63J2x5O2PR3w+9BICVPbty7JbZeNp3l89dE+9q2nfnbbnrv95PJKIuTBERKZxaxmRwahgC31gdD8wm/FvWouMjq3mx8SxWNc5gN+vbGvbMP9/unYX513/kXiFAREQkmYIxkVN+FQ/Kjvt+zqJ/Hnoeqxpn8KnoPaQnkQWY8avHGNc6j3Gt83izo+/YMxERkXSaTSmSbtNbMHu3vIu/Z9PPWEdzxv2feu84Lvrou9WNWSTNphSRWqXZlCKFatwu3lJ2cTt8ZE7O4o83foFVjTP4wc73EtZa9ru/rurtxvzFn/6hpZdERCSFWsZE8tHRDt/dPe/i3922lZ+vOzBrmYaIsfjCYxgxLFZk5QYHtYyJSK3K9fml2ZQi+WhqjreWAfz1J3DvhVmLf/3t2Xy9MX778E0/YS3b9ynT1eNMvOTe3vsPffVDjNtheKlqLCIiNULBmEih3vul+E93F1z5IXg1e0LZRxu/1Hv7hMhPeWLjqNByH/r+Q7237z3vA+yz07alqK2IiAxwCsZE+ivaAP/xl/jt9S/B/2bvlgS4o+eLELSYrdvndA574qN0E+1T7sM/fLj39sRdR3DDOYcxbIj+XEVE6pE+3UVKYeTuW7sx31oDP9gv50NGP3sT/2i8qff+x5quZvn6vuPHlq1+k3dfNL/3/h1fnMqBuzYXXWURERkYFIyJlNp2Y7YGZi8+DFd/LK+H3dlxdm+r2c8OuInvLeoOLXfCTx/pvX30fjty5SemKG2GiEgNK2o2pZmdBswC9gMOcffQKUJmtgp4G+gGuhIzCsxsFvA5YF1Q9Bvufleu82o2ktSkN1fDD/cv+GEeaeDnB8/je39+PWfZrx+7L//+gT3rMjjTbEoRqVW5Pr+KDcb2A3qAXwJfzRGMTXH3f6VtnwVscPfcqc+T6MNM6sILf4JrTij4YRuP/A6ffvogFr64PmfZ751yIKccvCvROgjOFIyJSK0qa2oLd386OEkxhxEZnPb84NbuzM4O+L+T4eW/5nzYsAXf5Ebo7dK859g/8fm5baFlv3brE3zt1id67//nEXtx3tH70BBVvmcRkYGiUmPGHLjXzBz4pbtfmbTvi2b2SWARcL675/66L1JvYk3w6bvjt91h2Q0w9z/yeuix93yQVY1b76859Y+8//q36e7p2+p9xYP/4IoH/9F7/39OmsAZh+ymL1QiIlWUs5vSzO4Hdg7Z9U13/0NQ5iGyd1OOcfc1ZrYjcB/wJXd/2Mx2Av5FPFj7NrCLu386wzHOAc4BGDt27MEvvfRSPtcnUh/WPgFXfxQ2vVnwQ7s++A2+89Zx/PbRl3OWPeWgXbn4hHezXePAWxVA3ZQiUqvKOmYs6SQPkSUYSys7i5BxYmY2Dvijux+Q6xj6MJNBr20x/OrI/j12n2P54z7f4Yu3rMyr+IXH78cnDt+doQ1986FVkoIxEalVVV8OycyGAxF3fzu4/WHgkmDfLu6+Nih6EvBkuesjUhdaDt463qxrMzz4HXjkf/N77LP38NFn7+Gjia7NA09n2cSLOPFXy0KLXzrvaS6d93TKtoN3H8mFx+/HpN2a1cUpIlKkYmdTngT8BBgNtANL3X2amY0BrnL348xsT+D24CENwPXu/p3g8f8HTCLeTbkK+Pek4CwjfbMUyeH1f8BvjoV3Xuvf46d+mVcP/AJfmvsif3vxjbweMnJYjP85aQJH7bcTQxpKP0FALWMiUqsq0k1ZafowEymQO7zwIPzfSf0/RkMjmz95NzevHsl/3/FUXg95/947MHnsSMaOGsaeo4ez5w7DaR42pF+nVzAmIrVKwZiIhHtzNVxxGGx5u7jj7HoIL0/7NefPW83jq3JPhm4eFmP8TtsyabdmLjgu97JRCQrGRKRWVX3MmIgMUCN2hW+s3nrfHdr+Dr/5MPR05X+c1X9j7K8n8HvozX3Wa9KZbD7wTF5q2p8X39jES6+/wwvr3uHZV9/mpdc3luAiyqOA1UWOBf4XiBIfmjG7YpUskblL2pgzfyVr2jsY09zEzGnjmT65pdrVEhlUFIyJSJwZ7HowXJS27NKWjfDoT+OTBAq19DqGLr2OfYB90ved+lg/K1oRTwInE19dJJSZRYErgGOA1cDjZnaHu+fXhzsAzF3SxgW3LaejM74Oalt7BxfcthxAAZlIBSkYE5HshgyDD34t/pOsuwuemgu3fqZ/x/3ZoVtnhA4wea4ucgjwvLu/EJS9ETgRqJlgbM78lb2BWEJHZzdz5q9UMCZSQQrGRKR/og0w4dT4T7rNb8Pf/w/+9F3Y1F7xqlVIC/BK0v3VwKFhBdOSVpe/Znla095R0HYRKQ8FYyJSekO3hcO/EP8J89KjMHyHytYpTT6ri+Q6RMi20BlRwRJwV0J8AH/elSyzMc1NtIUEXmOam6pQG5HBS8GYiFTe7odXuwa4+9FFHmI1sFvS/V2BNUUes6JmThufMmYMoCkWZea08VWslcjgo2BMRKR/Hgf2NrM9gDbg48CM6lapMIlxYZpNKVJdCsZERNKkrS4yz8z6rC7i7l1m9kVgPvHUFr9x9xVVrHa/TJ/couBLpMoUjImIpHH329m6jFvy9jXAcUn37wLuqmDVRKQOlX4BORERERHJm4IxERERkSpSMCYiIiJSRQrGRERERKpIwZiIiIhIFSkYExEREakiBWMiIiIiVWTuA2aZtLyZ2TrgpTyL7wD8q4zVGSh0nfVjMFwjFH6du7v76HJVplIK/Pyqllp4D9ZCHaE26qk6lk6memb9/KrJYKwQZrbI3adUux7lpuusH4PhGmHwXGctqoXXphbqCLVRT9WxdPpbT3VTioiIiFSRgjERERGRKhoMwdiV1a5Aheg668dguEYYPNdZi2rhtamFOkJt1FN1LJ1+1bPux4yJiIiIDGSDoWVMREREZMCq62DMzI41s5Vm9ryZtVa7PsUws1VmttzMlprZomDbKDO7z8yeC36PTCp/QXDdK81sWvVqnp2Z/cbMXjOzJ5O2FXxdZnZw8Pw8b2Y/NjOr9LVkk+E6Z5lZW/CaLjWz45L21dx1mtluZvagmT1tZivM7MvB9rp7PetNttcoqUyjmf3NzJYFr++3BmAdQ9+DA6mOQbk+nwcVql/W/4kW9+Ng/xNmdlAl65dnHfc1s0fNbLOZfbXS9cuzjmcGz98TZvZXM5uY86DuXpc/QBT4B7AnMARYBry72vUq4npWATukbfse0BrcbgW+G9x+d3C9Q4E9guchWu1ryHBdHwAOAp4s5rqAvwGHAwbcDXyk2teWx3XOAr4aUrYmrxPYBTgouL0t8GxwLXX3etbbT6bXKK2MAdsEt2PAY8BhA6yOoe/BgVTHYF+fz4MK1C3n/0TguODvzYDDgMcq/D7Mp447Au8BvhP2+TlA6vheYGRw+yP5PI/13DJ2CPC8u7/g7luAG4ETq1ynUjsRuDq4fTUwPWn7je6+2d1fBJ4n/nwMOO7+MPBG2uaCrsvMdgG2c/dHPf7uvybpMQNChuvMpCav093Xuvvfg9tvA08DLdTh61mHMr1GvTxuQ3A3FvxUctBxPnXM9B6slJx1hII/D0oln/+JJwLXBK/1QqA5+HscMHV099fc/XGgs4L1SpZPHf/q7uuDuwuBXXMdtJ6DsRbglaT7q6nsH2WpOXCvmS02s3OCbTu5+1qIfwgR/8YAtX/thV5XS3A7fXst+GLQlP2bpC6Nmr9OMxsHTCbeejKYXs9alek1SmFmUTNbCrwG3Ofuj1WuivnVMSHtPVgpBdWxwvL5v1Dt/x3VPn8+Cq3jZ4i3NmbVUGSlBrKwMSa1PHV0qruvMbMdgfvM7JksZevt2hMyXVetXu/PgW8Tr+u3gcuBT1Pj12lm2wC3Aue6+1tZhnvV9HXWGjO7H9g5ZNc38z2Gu3cDk8ysGbjdzA5w95KNeypFHYPjpLwHS1G3pGOXpI5VkM/fVbX/9qp9/nzkXUczO4J4MPa+XAet52BsNbBb0v1dgTVVqkvR3H1N8Ps1M7udeFPpq2a2i7uvDZqSXwuK1/q1F3pdq0ltBq6J63X3VxO3zexXwB+DuzV7nWYWI/5P8Dp3vy3YPChez4HO3Y/OtM/MMr1GmY7VbmYPAccCJQvGSlHHDO/Bkinl81hh+fxfqPb/jmqfPx951dHMDgSuIj7e9fVcB63nbsrHgb3NbA8zGwJ8HLijynXqFzMbbmbbJm4DHyb+AXgHcHZQ7GzgD8HtO4CPm9lQM9sD2Jv4gOhaUdB1Bd0Bb5vZYcGsu08mPWbAShuLcRJb/6nV5HUGdfo18LS7/yBp16B4PWtcpteol5mNDlrEMLMm4GggWwt9qeVTx0zvwUrJWccqyud/4h3AJ4NZlYcBbya6XQdQHastZx3NbCxwG/AJd382r6NWchZCpX+Izwx5lvjMh29Wuz5FXMeexGdsLANWJK4F2B54AHgu+D0q6THfDK57JQN4JhpwA7CW+GDM1cSbdAu+LmAK8WDmH8BPCRIaD5SfDNf5f8By4Ingj3mXWr5O4k3xHlzP0uDnuHp8PevtJ9NrBIwB7gpuHwgsCV7fJ4GLBmAdQ9+DA6mOwf0+nwcVql+f/4nA54HPB7cNuCLYvxyYUoX3Yq467hw8Z28B7cHt7QZYHa8C1ie9BxflOqYy8IuIiIhUUT13U4qIiIgMeArGRERERKpIwZiIiIhIFSkYExEREakiBWMiIiIiVaRgTEREBDCzbjNbamZPmtnvzWxYEcf6nZmdGty+yszenaXsh8zsvUn3P29mn+zvuaX2KBgTERGJ63D3Se5+ALCFeO6oXmYW7c9B3f2z7v5UliIfAnqDMXf/hbtf059zSW1SMCYiItLXn4F3Ba1WD5rZ9cDyYLH0OWb2uJk9YWb/DvHs/2b2UzN7yszmkbRIuJk9ZGZTgtvHmtnfzWyZmT0QLGj+eeC8oFXu/WY2y8y+GpSfZGYLg3PdbmYjk475XTP7m5k9a2bvr+zTI6VUz2tTioiIFMzMGoCPAPcEmw4BDnD3F83sHOLLBL3HzIYCj5jZvcBkYDwwAdgJeAr4TdpxRwO/Aj4QHGuUu79hZr8ANrj794NyRyU97BrgS+7+JzO7BLgYODfY1+Duh5jZccH2jOtmysCmYExERCSuycyWBrf/THydy/cSXzP1xWD7h4EDE+PBgBHE11X9AHCDu3cDa8xsQcjxDwMeThzL3d/IVhkzGwE0u/ufgk1XA79PKpJYCH0xMC6vK5QBScGYiIhIXIe7T0reEF97nHeSNxFvqZqfVu444utiZmN5lCnE5uB3N/p/XtM0ZkxERCR/84H/MLMYgJntY2bDgYeBjwdjynYBjgh57KPAB81sj+Cxo4LtbwPbphd29zeB9UnjwT4B/Cm9nNQ+RdIiIiL5u4p4l+DfLd5stg6YDtwOHAksB54lJGhy93XBmLPbzCwCvAYcA9wJ3GJmJwJfSnvY2cAvgjQbLwD/rwzXJFVm7qVsMRURERGRQqibUkRERKSKFIyJiIiIVJGCMREREZEqUjAmIiIiUkUKxkRERESqSMGYiIiISBUpGBMRERGpIgVjIiIiIlX0/wHoSRMkZPKiwAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.5\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0392, val_loss: 0.0373, r_value: -0.1593\n",
      "Epoch 100, train_loss: 0.0321, val_loss: 0.0316, r_value: 0.4797\n",
      "Epoch 200, train_loss: 0.0324, val_loss: 0.0332, r_value: 0.4713\n",
      "Epoch 300, train_loss: 0.0304, val_loss: 0.0310, r_value: 0.4947\n",
      "Epoch 400, train_loss: 0.0294, val_loss: 0.0298, r_value: 0.5126\n",
      "Epoch 500, train_loss: 0.0288, val_loss: 0.0289, r_value: 0.5264\n",
      "Epoch 600, train_loss: 0.0282, val_loss: 0.0282, r_value: 0.5376\n",
      "Epoch 700, train_loss: 0.0277, val_loss: 0.0276, r_value: 0.5458\n",
      "Epoch 800, train_loss: 0.0273, val_loss: 0.0272, r_value: 0.5518\n",
      "Epoch 900, train_loss: 0.0269, val_loss: 0.0268, r_value: 0.5563\n",
      "Epoch 1000, train_loss: 0.0266, val_loss: 0.0264, r_value: 0.5597\n",
      "Epoch 1100, train_loss: 0.0264, val_loss: 0.0261, r_value: 0.5624\n",
      "Epoch 1200, train_loss: 0.0262, val_loss: 0.0259, r_value: 0.5645\n",
      "Epoch 1300, train_loss: 0.0260, val_loss: 0.0258, r_value: 0.5662\n",
      "Epoch 1400, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5676\n",
      "Epoch 1500, train_loss: 0.0257, val_loss: 0.0255, r_value: 0.5688\n",
      "Epoch 1600, train_loss: 0.0256, val_loss: 0.0254, r_value: 0.5698\n",
      "Epoch 1700, train_loss: 0.0256, val_loss: 0.0254, r_value: 0.5707\n",
      "Epoch 1800, train_loss: 0.0255, val_loss: 0.0253, r_value: 0.5715\n",
      "Epoch 1900, train_loss: 0.0254, val_loss: 0.0253, r_value: 0.5722\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0389, val_loss: 0.0375, r_value: 0.0934\n",
      "Epoch 100, train_loss: 0.0362, val_loss: 0.0358, r_value: 0.3076\n",
      "Epoch 200, train_loss: 0.0356, val_loss: 0.0352, r_value: 0.3654\n",
      "Epoch 300, train_loss: 0.0347, val_loss: 0.0343, r_value: 0.4075\n",
      "Epoch 400, train_loss: 0.0333, val_loss: 0.0329, r_value: 0.4384\n",
      "Epoch 500, train_loss: 0.0315, val_loss: 0.0311, r_value: 0.4633\n",
      "Epoch 600, train_loss: 0.0295, val_loss: 0.0291, r_value: 0.4867\n",
      "Epoch 700, train_loss: 0.0280, val_loss: 0.0277, r_value: 0.5066\n",
      "Epoch 800, train_loss: 0.0271, val_loss: 0.0268, r_value: 0.5209\n",
      "Epoch 900, train_loss: 0.0267, val_loss: 0.0263, r_value: 0.5305\n",
      "Epoch 1000, train_loss: 0.0264, val_loss: 0.0260, r_value: 0.5375\n",
      "Epoch 1100, train_loss: 0.0261, val_loss: 0.0258, r_value: 0.5424\n",
      "Epoch 1200, train_loss: 0.0260, val_loss: 0.0257, r_value: 0.5458\n",
      "Epoch 1300, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5483\n",
      "Epoch 1400, train_loss: 0.0258, val_loss: 0.0255, r_value: 0.5503\n",
      "Epoch 1500, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5520\n",
      "Epoch 1600, train_loss: 0.0256, val_loss: 0.0254, r_value: 0.5534\n",
      "Epoch 1700, train_loss: 0.0256, val_loss: 0.0253, r_value: 0.5546\n",
      "Epoch 1800, train_loss: 0.0255, val_loss: 0.0253, r_value: 0.5557\n",
      "Epoch 1900, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5568\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.01\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0376, val_loss: 0.0372, r_value: -0.1016\n",
      "Epoch 100, train_loss: 0.0370, val_loss: 0.0366, r_value: -0.0717\n",
      "Epoch 200, train_loss: 0.0370, val_loss: 0.0366, r_value: -0.0385\n",
      "Epoch 300, train_loss: 0.0369, val_loss: 0.0365, r_value: -0.0043\n",
      "Epoch 400, train_loss: 0.0369, val_loss: 0.0365, r_value: 0.0320\n",
      "Epoch 500, train_loss: 0.0369, val_loss: 0.0365, r_value: 0.0708\n",
      "Epoch 600, train_loss: 0.0368, val_loss: 0.0365, r_value: 0.1087\n",
      "Epoch 700, train_loss: 0.0368, val_loss: 0.0364, r_value: 0.1422\n",
      "Epoch 800, train_loss: 0.0368, val_loss: 0.0364, r_value: 0.1700\n",
      "Epoch 900, train_loss: 0.0368, val_loss: 0.0364, r_value: 0.1937\n",
      "Epoch 1000, train_loss: 0.0367, val_loss: 0.0364, r_value: 0.2148\n",
      "Epoch 1100, train_loss: 0.0367, val_loss: 0.0363, r_value: 0.2338\n",
      "Epoch 1200, train_loss: 0.0367, val_loss: 0.0363, r_value: 0.2511\n",
      "Epoch 1300, train_loss: 0.0367, val_loss: 0.0363, r_value: 0.2669\n",
      "Epoch 1400, train_loss: 0.0367, val_loss: 0.0363, r_value: 0.2814\n",
      "Epoch 1500, train_loss: 0.0366, val_loss: 0.0362, r_value: 0.2946\n",
      "Epoch 1600, train_loss: 0.0366, val_loss: 0.0362, r_value: 0.3067\n",
      "Epoch 1700, train_loss: 0.0366, val_loss: 0.0362, r_value: 0.3179\n",
      "Epoch 1800, train_loss: 0.0366, val_loss: 0.0362, r_value: 0.3282\n",
      "Epoch 1900, train_loss: 0.0365, val_loss: 0.0361, r_value: 0.3377\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.05\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0372, val_loss: 0.0367, r_value: 0.0048\n",
      "Epoch 100, train_loss: 0.0366, val_loss: 0.0362, r_value: 0.2854\n",
      "Epoch 200, train_loss: 0.0362, val_loss: 0.0359, r_value: 0.3750\n",
      "Epoch 300, train_loss: 0.0359, val_loss: 0.0356, r_value: 0.4130\n",
      "Epoch 400, train_loss: 0.0356, val_loss: 0.0352, r_value: 0.4345\n",
      "Epoch 500, train_loss: 0.0352, val_loss: 0.0348, r_value: 0.4492\n",
      "Epoch 600, train_loss: 0.0347, val_loss: 0.0344, r_value: 0.4598\n",
      "Epoch 700, train_loss: 0.0341, val_loss: 0.0338, r_value: 0.4685\n",
      "Epoch 800, train_loss: 0.0334, val_loss: 0.0330, r_value: 0.4757\n",
      "Epoch 900, train_loss: 0.0324, val_loss: 0.0321, r_value: 0.4821\n",
      "Epoch 1000, train_loss: 0.0313, val_loss: 0.0310, r_value: 0.4884\n",
      "Epoch 1100, train_loss: 0.0302, val_loss: 0.0298, r_value: 0.4936\n",
      "Epoch 1200, train_loss: 0.0292, val_loss: 0.0288, r_value: 0.4989\n",
      "Epoch 1300, train_loss: 0.0284, val_loss: 0.0280, r_value: 0.5043\n",
      "Epoch 1400, train_loss: 0.0278, val_loss: 0.0274, r_value: 0.5098\n",
      "Epoch 1500, train_loss: 0.0274, val_loss: 0.0271, r_value: 0.5151\n",
      "Epoch 1600, train_loss: 0.0271, val_loss: 0.0268, r_value: 0.5200\n",
      "Epoch 1700, train_loss: 0.0269, val_loss: 0.0266, r_value: 0.5246\n",
      "Epoch 1800, train_loss: 0.0268, val_loss: 0.0264, r_value: 0.5285\n",
      "Epoch 1900, train_loss: 0.0266, val_loss: 0.0262, r_value: 0.5320\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.75\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0410, val_loss: 0.0446, r_value: 0.2588\n",
      "Epoch 100, train_loss: 0.0395, val_loss: 0.0378, r_value: 0.4959\n",
      "Epoch 200, train_loss: 0.0361, val_loss: 0.0336, r_value: 0.5012\n",
      "Epoch 300, train_loss: 0.0346, val_loss: 0.0325, r_value: 0.5152\n",
      "Epoch 400, train_loss: 0.0337, val_loss: 0.0321, r_value: 0.5261\n",
      "Epoch 500, train_loss: 0.0329, val_loss: 0.0317, r_value: 0.5365\n",
      "Epoch 600, train_loss: 0.0321, val_loss: 0.0312, r_value: 0.5454\n",
      "Epoch 700, train_loss: 0.0313, val_loss: 0.0306, r_value: 0.5518\n",
      "Epoch 800, train_loss: 0.0306, val_loss: 0.0300, r_value: 0.5560\n",
      "Epoch 900, train_loss: 0.0299, val_loss: 0.0294, r_value: 0.5589\n",
      "Epoch 1000, train_loss: 0.0294, val_loss: 0.0290, r_value: 0.5611\n",
      "Epoch 1100, train_loss: 0.0290, val_loss: 0.0286, r_value: 0.5628\n",
      "Epoch 1200, train_loss: 0.0286, val_loss: 0.0283, r_value: 0.5643\n",
      "Epoch 1300, train_loss: 0.0284, val_loss: 0.0280, r_value: 0.5657\n",
      "Epoch 1400, train_loss: 0.0281, val_loss: 0.0278, r_value: 0.5669\n",
      "Epoch 1500, train_loss: 0.0279, val_loss: 0.0276, r_value: 0.5681\n",
      "Epoch 1600, train_loss: 0.0277, val_loss: 0.0274, r_value: 0.5692\n",
      "Epoch 1700, train_loss: 0.0275, val_loss: 0.0273, r_value: 0.5702\n",
      "Epoch 1800, train_loss: 0.0274, val_loss: 0.0271, r_value: 0.5711\n",
      "Epoch 1900, train_loss: 0.0272, val_loss: 0.0270, r_value: 0.5720\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.5\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0394, val_loss: 0.0372, r_value: 0.2825\n",
      "Epoch 100, train_loss: 0.0401, val_loss: 0.0367, r_value: 0.4948\n",
      "Epoch 200, train_loss: 0.0319, val_loss: 0.0306, r_value: 0.5148\n",
      "Epoch 300, train_loss: 0.0303, val_loss: 0.0292, r_value: 0.5296\n",
      "Epoch 400, train_loss: 0.0293, val_loss: 0.0285, r_value: 0.5403\n",
      "Epoch 500, train_loss: 0.0285, val_loss: 0.0279, r_value: 0.5483\n",
      "Epoch 600, train_loss: 0.0279, val_loss: 0.0273, r_value: 0.5540\n",
      "Epoch 700, train_loss: 0.0274, val_loss: 0.0269, r_value: 0.5582\n",
      "Epoch 800, train_loss: 0.0270, val_loss: 0.0265, r_value: 0.5614\n",
      "Epoch 900, train_loss: 0.0267, val_loss: 0.0263, r_value: 0.5639\n",
      "Epoch 1000, train_loss: 0.0264, val_loss: 0.0260, r_value: 0.5659\n",
      "Epoch 1100, train_loss: 0.0262, val_loss: 0.0259, r_value: 0.5675\n",
      "Epoch 1200, train_loss: 0.0260, val_loss: 0.0257, r_value: 0.5689\n",
      "Epoch 1300, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5701\n",
      "Epoch 1400, train_loss: 0.0257, val_loss: 0.0255, r_value: 0.5712\n",
      "Epoch 1500, train_loss: 0.0256, val_loss: 0.0254, r_value: 0.5722\n",
      "Epoch 1600, train_loss: 0.0255, val_loss: 0.0253, r_value: 0.5730\n",
      "Epoch 1700, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5738\n",
      "Epoch 1800, train_loss: 0.0254, val_loss: 0.0252, r_value: 0.5745\n",
      "Epoch 1900, train_loss: 0.0253, val_loss: 0.0251, r_value: 0.5753\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0391, val_loss: 0.0376, r_value: -0.0073\n",
      "Epoch 100, train_loss: 0.0358, val_loss: 0.0354, r_value: 0.5005\n",
      "Epoch 200, train_loss: 0.0344, val_loss: 0.0340, r_value: 0.4993\n",
      "Epoch 300, train_loss: 0.0321, val_loss: 0.0317, r_value: 0.5011\n",
      "Epoch 400, train_loss: 0.0293, val_loss: 0.0289, r_value: 0.5079\n",
      "Epoch 500, train_loss: 0.0275, val_loss: 0.0271, r_value: 0.5183\n",
      "Epoch 600, train_loss: 0.0268, val_loss: 0.0264, r_value: 0.5285\n",
      "Epoch 700, train_loss: 0.0264, val_loss: 0.0260, r_value: 0.5368\n",
      "Epoch 800, train_loss: 0.0261, val_loss: 0.0258, r_value: 0.5430\n",
      "Epoch 900, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5477\n",
      "Epoch 1000, train_loss: 0.0258, val_loss: 0.0254, r_value: 0.5513\n",
      "Epoch 1100, train_loss: 0.0257, val_loss: 0.0253, r_value: 0.5541\n",
      "Epoch 1200, train_loss: 0.0256, val_loss: 0.0252, r_value: 0.5564\n",
      "Epoch 1300, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5582\n",
      "Epoch 1400, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5598\n",
      "Epoch 1500, train_loss: 0.0253, val_loss: 0.0250, r_value: 0.5611\n",
      "Epoch 1600, train_loss: 0.0253, val_loss: 0.0250, r_value: 0.5623\n",
      "Epoch 1700, train_loss: 0.0252, val_loss: 0.0249, r_value: 0.5634\n",
      "Epoch 1800, train_loss: 0.0252, val_loss: 0.0249, r_value: 0.5643\n",
      "Epoch 1900, train_loss: 0.0251, val_loss: 0.0249, r_value: 0.5652\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.01\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0403, val_loss: 0.0397, r_value: -0.1768\n",
      "Epoch 100, train_loss: 0.0369, val_loss: 0.0365, r_value: -0.0038\n",
      "Epoch 200, train_loss: 0.0368, val_loss: 0.0364, r_value: 0.2312\n",
      "Epoch 300, train_loss: 0.0367, val_loss: 0.0363, r_value: 0.3537\n",
      "Epoch 400, train_loss: 0.0365, val_loss: 0.0362, r_value: 0.4118\n",
      "Epoch 500, train_loss: 0.0364, val_loss: 0.0361, r_value: 0.4425\n",
      "Epoch 600, train_loss: 0.0363, val_loss: 0.0359, r_value: 0.4619\n",
      "Epoch 700, train_loss: 0.0362, val_loss: 0.0358, r_value: 0.4750\n",
      "Epoch 800, train_loss: 0.0361, val_loss: 0.0357, r_value: 0.4821\n",
      "Epoch 900, train_loss: 0.0360, val_loss: 0.0356, r_value: 0.4869\n",
      "Epoch 1000, train_loss: 0.0359, val_loss: 0.0355, r_value: 0.4904\n",
      "Epoch 1100, train_loss: 0.0358, val_loss: 0.0354, r_value: 0.4929\n",
      "Epoch 1200, train_loss: 0.0356, val_loss: 0.0353, r_value: 0.4948\n",
      "Epoch 1300, train_loss: 0.0355, val_loss: 0.0352, r_value: 0.4962\n",
      "Epoch 1400, train_loss: 0.0354, val_loss: 0.0350, r_value: 0.4973\n",
      "Epoch 1500, train_loss: 0.0353, val_loss: 0.0349, r_value: 0.4982\n",
      "Epoch 1600, train_loss: 0.0351, val_loss: 0.0348, r_value: 0.4989\n",
      "Epoch 1700, train_loss: 0.0350, val_loss: 0.0346, r_value: 0.4997\n",
      "Epoch 1800, train_loss: 0.0348, val_loss: 0.0345, r_value: 0.5004\n",
      "Epoch 1900, train_loss: 0.0347, val_loss: 0.0343, r_value: 0.5009\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.05\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0375, val_loss: 0.0370, r_value: -0.0756\n",
      "Epoch 100, train_loss: 0.0364, val_loss: 0.0360, r_value: 0.4232\n",
      "Epoch 200, train_loss: 0.0358, val_loss: 0.0354, r_value: 0.4511\n",
      "Epoch 300, train_loss: 0.0352, val_loss: 0.0348, r_value: 0.4615\n",
      "Epoch 400, train_loss: 0.0345, val_loss: 0.0341, r_value: 0.4652\n",
      "Epoch 500, train_loss: 0.0335, val_loss: 0.0332, r_value: 0.4679\n",
      "Epoch 600, train_loss: 0.0324, val_loss: 0.0321, r_value: 0.4715\n",
      "Epoch 700, train_loss: 0.0312, val_loss: 0.0308, r_value: 0.4764\n",
      "Epoch 800, train_loss: 0.0301, val_loss: 0.0297, r_value: 0.4826\n",
      "Epoch 900, train_loss: 0.0291, val_loss: 0.0287, r_value: 0.4898\n",
      "Epoch 1000, train_loss: 0.0284, val_loss: 0.0280, r_value: 0.4973\n",
      "Epoch 1100, train_loss: 0.0279, val_loss: 0.0275, r_value: 0.5044\n",
      "Epoch 1200, train_loss: 0.0275, val_loss: 0.0271, r_value: 0.5108\n",
      "Epoch 1300, train_loss: 0.0272, val_loss: 0.0269, r_value: 0.5165\n",
      "Epoch 1400, train_loss: 0.0270, val_loss: 0.0267, r_value: 0.5215\n",
      "Epoch 1500, train_loss: 0.0268, val_loss: 0.0265, r_value: 0.5259\n",
      "Epoch 1600, train_loss: 0.0267, val_loss: 0.0263, r_value: 0.5300\n",
      "Epoch 1700, train_loss: 0.0265, val_loss: 0.0262, r_value: 0.5336\n",
      "Epoch 1800, train_loss: 0.0264, val_loss: 0.0260, r_value: 0.5368\n",
      "Epoch 1900, train_loss: 0.0263, val_loss: 0.0259, r_value: 0.5397\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.75\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0370, val_loss: 0.0364, r_value: 0.2444\n",
      "Epoch 100, train_loss: 0.0374, val_loss: 0.0387, r_value: 0.4517\n",
      "Epoch 200, train_loss: 0.0335, val_loss: 0.0350, r_value: 0.4642\n",
      "Epoch 300, train_loss: 0.0327, val_loss: 0.0337, r_value: 0.4954\n",
      "Epoch 400, train_loss: 0.0321, val_loss: 0.0328, r_value: 0.5171\n",
      "Epoch 500, train_loss: 0.0316, val_loss: 0.0319, r_value: 0.5317\n",
      "Epoch 600, train_loss: 0.0309, val_loss: 0.0311, r_value: 0.5424\n",
      "Epoch 700, train_loss: 0.0303, val_loss: 0.0304, r_value: 0.5502\n",
      "Epoch 800, train_loss: 0.0298, val_loss: 0.0298, r_value: 0.5559\n",
      "Epoch 900, train_loss: 0.0293, val_loss: 0.0292, r_value: 0.5602\n",
      "Epoch 1000, train_loss: 0.0288, val_loss: 0.0288, r_value: 0.5636\n",
      "Epoch 1100, train_loss: 0.0285, val_loss: 0.0284, r_value: 0.5664\n",
      "Epoch 1200, train_loss: 0.0281, val_loss: 0.0280, r_value: 0.5686\n",
      "Epoch 1300, train_loss: 0.0278, val_loss: 0.0278, r_value: 0.5705\n",
      "Epoch 1400, train_loss: 0.0276, val_loss: 0.0275, r_value: 0.5721\n",
      "Epoch 1500, train_loss: 0.0273, val_loss: 0.0273, r_value: 0.5735\n",
      "Epoch 1600, train_loss: 0.0271, val_loss: 0.0271, r_value: 0.5747\n",
      "Epoch 1700, train_loss: 0.0270, val_loss: 0.0269, r_value: 0.5757\n",
      "Epoch 1800, train_loss: 0.0268, val_loss: 0.0268, r_value: 0.5767\n",
      "Epoch 1900, train_loss: 0.0267, val_loss: 0.0267, r_value: 0.5776\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.5\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0374, val_loss: 0.0367, r_value: 0.2427\n",
      "Epoch 100, train_loss: 0.0350, val_loss: 0.0334, r_value: 0.5088\n",
      "Epoch 200, train_loss: 0.0317, val_loss: 0.0302, r_value: 0.5213\n",
      "Epoch 300, train_loss: 0.0302, val_loss: 0.0290, r_value: 0.5350\n",
      "Epoch 400, train_loss: 0.0292, val_loss: 0.0283, r_value: 0.5456\n",
      "Epoch 500, train_loss: 0.0284, val_loss: 0.0277, r_value: 0.5536\n",
      "Epoch 600, train_loss: 0.0278, val_loss: 0.0272, r_value: 0.5595\n",
      "Epoch 700, train_loss: 0.0272, val_loss: 0.0268, r_value: 0.5638\n",
      "Epoch 800, train_loss: 0.0268, val_loss: 0.0264, r_value: 0.5671\n",
      "Epoch 900, train_loss: 0.0264, val_loss: 0.0261, r_value: 0.5696\n",
      "Epoch 1000, train_loss: 0.0261, val_loss: 0.0258, r_value: 0.5716\n",
      "Epoch 1100, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5733\n",
      "Epoch 1200, train_loss: 0.0257, val_loss: 0.0255, r_value: 0.5747\n",
      "Epoch 1300, train_loss: 0.0256, val_loss: 0.0254, r_value: 0.5759\n",
      "Epoch 1400, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5771\n",
      "Epoch 1500, train_loss: 0.0254, val_loss: 0.0252, r_value: 0.5782\n",
      "Epoch 1600, train_loss: 0.0253, val_loss: 0.0251, r_value: 0.5792\n",
      "Epoch 1700, train_loss: 0.0252, val_loss: 0.0250, r_value: 0.5802\n",
      "Epoch 1800, train_loss: 0.0251, val_loss: 0.0250, r_value: 0.5811\n",
      "Epoch 1900, train_loss: 0.0251, val_loss: 0.0249, r_value: 0.5820\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0369, val_loss: 0.0365, r_value: 0.0973\n",
      "Epoch 100, train_loss: 0.0347, val_loss: 0.0343, r_value: 0.5013\n",
      "Epoch 200, train_loss: 0.0319, val_loss: 0.0315, r_value: 0.5091\n",
      "Epoch 300, train_loss: 0.0285, val_loss: 0.0282, r_value: 0.5197\n",
      "Epoch 400, train_loss: 0.0268, val_loss: 0.0265, r_value: 0.5315\n",
      "Epoch 500, train_loss: 0.0263, val_loss: 0.0259, r_value: 0.5407\n",
      "Epoch 600, train_loss: 0.0260, val_loss: 0.0256, r_value: 0.5471\n",
      "Epoch 700, train_loss: 0.0258, val_loss: 0.0254, r_value: 0.5514\n",
      "Epoch 800, train_loss: 0.0256, val_loss: 0.0253, r_value: 0.5545\n",
      "Epoch 900, train_loss: 0.0255, val_loss: 0.0252, r_value: 0.5569\n",
      "Epoch 1000, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5588\n",
      "Epoch 1100, train_loss: 0.0254, val_loss: 0.0251, r_value: 0.5605\n",
      "Epoch 1200, train_loss: 0.0253, val_loss: 0.0250, r_value: 0.5619\n",
      "Epoch 1300, train_loss: 0.0252, val_loss: 0.0250, r_value: 0.5631\n",
      "Epoch 1400, train_loss: 0.0252, val_loss: 0.0249, r_value: 0.5642\n",
      "Epoch 1500, train_loss: 0.0251, val_loss: 0.0249, r_value: 0.5652\n",
      "Epoch 1600, train_loss: 0.0251, val_loss: 0.0248, r_value: 0.5661\n",
      "Epoch 1700, train_loss: 0.0251, val_loss: 0.0248, r_value: 0.5669\n",
      "Epoch 1800, train_loss: 0.0250, val_loss: 0.0248, r_value: 0.5677\n",
      "Epoch 1900, train_loss: 0.0250, val_loss: 0.0247, r_value: 0.5685\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.01\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0385, val_loss: 0.0381, r_value: -0.1635\n",
      "Epoch 100, train_loss: 0.0368, val_loss: 0.0364, r_value: 0.2001\n",
      "Epoch 200, train_loss: 0.0366, val_loss: 0.0363, r_value: 0.3878\n",
      "Epoch 300, train_loss: 0.0365, val_loss: 0.0361, r_value: 0.4541\n",
      "Epoch 400, train_loss: 0.0363, val_loss: 0.0359, r_value: 0.4754\n",
      "Epoch 500, train_loss: 0.0361, val_loss: 0.0358, r_value: 0.4826\n",
      "Epoch 600, train_loss: 0.0360, val_loss: 0.0356, r_value: 0.4844\n",
      "Epoch 700, train_loss: 0.0358, val_loss: 0.0354, r_value: 0.4844\n",
      "Epoch 800, train_loss: 0.0356, val_loss: 0.0353, r_value: 0.4839\n",
      "Epoch 900, train_loss: 0.0355, val_loss: 0.0351, r_value: 0.4832\n",
      "Epoch 1000, train_loss: 0.0353, val_loss: 0.0349, r_value: 0.4825\n",
      "Epoch 1100, train_loss: 0.0351, val_loss: 0.0347, r_value: 0.4820\n",
      "Epoch 1200, train_loss: 0.0349, val_loss: 0.0345, r_value: 0.4818\n",
      "Epoch 1300, train_loss: 0.0347, val_loss: 0.0343, r_value: 0.4821\n",
      "Epoch 1400, train_loss: 0.0345, val_loss: 0.0341, r_value: 0.4825\n",
      "Epoch 1500, train_loss: 0.0343, val_loss: 0.0339, r_value: 0.4829\n",
      "Epoch 1600, train_loss: 0.0340, val_loss: 0.0336, r_value: 0.4835\n",
      "Epoch 1700, train_loss: 0.0338, val_loss: 0.0334, r_value: 0.4842\n",
      "Epoch 1800, train_loss: 0.0335, val_loss: 0.0331, r_value: 0.4851\n",
      "Epoch 1900, train_loss: 0.0332, val_loss: 0.0328, r_value: 0.4862\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.05\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0393, val_loss: 0.0382, r_value: -0.0864\n",
      "Epoch 100, train_loss: 0.0361, val_loss: 0.0357, r_value: 0.5113\n",
      "Epoch 200, train_loss: 0.0352, val_loss: 0.0349, r_value: 0.5169\n",
      "Epoch 300, train_loss: 0.0342, val_loss: 0.0338, r_value: 0.5148\n",
      "Epoch 400, train_loss: 0.0328, val_loss: 0.0324, r_value: 0.5136\n",
      "Epoch 500, train_loss: 0.0311, val_loss: 0.0307, r_value: 0.5143\n",
      "Epoch 600, train_loss: 0.0293, val_loss: 0.0290, r_value: 0.5162\n",
      "Epoch 700, train_loss: 0.0280, val_loss: 0.0276, r_value: 0.5198\n",
      "Epoch 800, train_loss: 0.0272, val_loss: 0.0269, r_value: 0.5244\n",
      "Epoch 900, train_loss: 0.0268, val_loss: 0.0264, r_value: 0.5292\n",
      "Epoch 1000, train_loss: 0.0265, val_loss: 0.0262, r_value: 0.5339\n",
      "Epoch 1100, train_loss: 0.0263, val_loss: 0.0260, r_value: 0.5382\n",
      "Epoch 1200, train_loss: 0.0262, val_loss: 0.0258, r_value: 0.5419\n",
      "Epoch 1300, train_loss: 0.0260, val_loss: 0.0257, r_value: 0.5450\n",
      "Epoch 1400, train_loss: 0.0259, val_loss: 0.0256, r_value: 0.5475\n",
      "Epoch 1500, train_loss: 0.0258, val_loss: 0.0255, r_value: 0.5497\n",
      "Epoch 1600, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5516\n",
      "Epoch 1700, train_loss: 0.0257, val_loss: 0.0254, r_value: 0.5533\n",
      "Epoch 1800, train_loss: 0.0256, val_loss: 0.0253, r_value: 0.5547\n",
      "Epoch 1900, train_loss: 0.0256, val_loss: 0.0253, r_value: 0.5560\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# model.train()\n",
    "epoch = 2000\n",
    "hid_dim_range = [128,256,512]\n",
    "lr_range = [0.75,0.5,0.1,0.01,0.05]\n",
    "\n",
    "for hid_dim in hid_dim_range:\n",
    "    for lr in lr_range:\n",
    "        print('\\nhid_dim: {}, lr: {}'.format(hid_dim, lr))\n",
    "        if 'model' in globals():\n",
    "            print('Deleting previous model')\n",
    "            del model, criterion, optimizer\n",
    "        model = Feedforward(data.shape[1], hid_dim)\n",
    "        criterion = torch.nn.MSELoss()\n",
    "        optimizer = torch.optim.SGD(model.parameters(), lr = lr)\n",
    "\n",
    "        all_loss_train=[]\n",
    "        all_loss_val=[]\n",
    "        for epoch in range(epoch):\n",
    "            model.train()\n",
    "            optimizer.zero_grad()\n",
    "            # Forward pass\n",
    "            y_pred = model(X_train)\n",
    "            # Compute Loss\n",
    "            loss = criterion(y_pred.squeeze(), y_train)\n",
    "\n",
    "            # Backward pass\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "\n",
    "            all_loss_train.append(loss.item())\n",
    "\n",
    "            model.eval()\n",
    "            with torch.no_grad():\n",
    "                y_pred = model(X_test)\n",
    "                # Compute Loss\n",
    "                loss = criterion(y_pred.squeeze(), y_test)\n",
    "                all_loss_val.append(loss.item())\n",
    "            \n",
    "                if epoch%100==0:\n",
    "                    y_pred = y_pred.detach().numpy().squeeze()\n",
    "                    slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(y_pred, y_test)\n",
    "                    print('Epoch {}, train_loss: {:.4f}, val_loss: {:.4f}, r_value: {:.4f}'.format(epoch,all_loss_train[-1],all_loss_val[-1],r_value))\n",
    "                \n",
    "        fig,ax=plt.subplots(1,2,figsize=(10,5))\n",
    "        ax[0].plot(np.log10(all_loss_train))\n",
    "        ax[0].plot(np.log10(all_loss_val))\n",
    "\n",
    "        ax[1].scatter(y_pred, y_test)\n",
    "        ax[1].set_xlabel('Prediction')\n",
    "        ax[1].set_ylabel('True')\n",
    "        ax[1].set_title('slope: {:.4f}, r_value: {:.4f}'.format(slope, r_value))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "806cca1e-e488-4d51-a159-fe39b734621f",
   "metadata": {},
   "source": [
    "We have tested SGD extensively. Now let's see what other optimizers have to offer (BACK TO SLIDES)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "e9738ffc-3f9f-4e30-a45c-fe626d52bbdd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.1\n",
      "Deleting previous model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:170: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  slope = ssxym / ssxm\n",
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:187: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  slope_stderr = np.sqrt((1 - r**2) * ssym / ssxm / df)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 0, train_loss: 0.0447, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 100, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 200, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 300, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 400, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.01\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0407, val_loss: 0.1065, r_value: 0.2456\n",
      "Epoch 100, train_loss: 0.0250, val_loss: 0.0247, r_value: 0.5683\n",
      "Epoch 200, train_loss: 0.0240, val_loss: 0.0239, r_value: 0.5913\n",
      "Epoch 300, train_loss: 0.0232, val_loss: 0.0233, r_value: 0.6031\n",
      "Epoch 400, train_loss: 0.0238, val_loss: 0.0241, r_value: 0.6070\n"
     ]
    },
    {
     "data": {
      "image/png": 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xjFjRkeMVISKTgEkAAwcOTGL3gT5igf+tVswYY0xic5bVxp0a540pZwOJmxnTlagJNJW8Y7GIwOi7X2zz8zOhWQP9vKoH9Qi/fqk0xYbsqvdx25M1eEqca8HiSab2MR8SBmKqem6ax9gEDIh43B/YHOd4M4AZEJgiJNmDWB4xY4xpf5Kp4ZizrJapc1eFa0i6V3hRda4RCAVBuehPlKgJNN0cV6r5STkRLTQH5ZL1O3n1/W1tniapWaE5ySAsOo1HotrHfMlF0+RiYKiIDAFqgWuBL2b0CGLpK4wxpr1Jtn9V9LyLiabJSTevlFNwGCsgvOj4vsxaWtsqQKita+DI21+goszD/sa214gVEr9qSs2R6fB6JNyMGZLKAIxcNmGmm77iMhHZBJwCzBOR+cHl/UTkBQBVbQK+DcwHVgNPquqq9IrdqiQWghljTDuTTIqJ6fPXpDTvYqJEqok45R+7c84KJj+1vEXt1K56HzMXb+SKsVUxUzL4VV0ThOWCJzhwsLLcS+cOpdw6s6ZFIt5kE7rmek7KtAIxVX1GVfuragdVPUxVJwSXb1bVCyO2e0FVh6nqkar603QL3aocFoYZY0y7k0wNRypNe8kkUk3EKTh8fNHGmAGhz6+8+v423phydjiQMKkp93r41TWj+fi+C/nVNaM52NTMrnpfqyAq2YSuuZ6TsjAyvGWA9REzxpj2JZkajnjNjN0rvG1KpBqPU+AXb9Ti5gIY2VjMIkdkJuoHFi+ha2hKK6f+a9makzIXfcRywCb9NsaY9iaZFBOTJwxv1UcMDvUhSjXnV6J+Q06d7+Pl8SoRYUgBJFwtVn9btIHHFm5wfO3hUBoPpwEY0f0NY8nWnJTuqBGz6lxjjGl3oms4Ksu9dPSWtOgbNHFMFdOvGkVl+aERdN0rvEy/clSbEq9G9hu6ZWYNY+55sUXfIafmr+tOHuA4tY9fLflSOpqDI2DjjcRMFCYkShOSzTkpXVEjpsROVmaMMcbdQjUciUZQpjvizemLele9j1tm1nD3c6ta1LDFqjmrHtSjxahJkzuJWn3jNTtWZXnUpCsCMWuaNMaY9i3TOaKimyET5b3aVe9LGPg5BY0m/5ze46rK8nBy32xxR9OkMcaYdq0tk3THMmdZLaPvfpFbZta0aIZMptUllLR0yJR5LdImRLv7uVUWhOVYdHLXaMmOqMwGl9SIQZxZk4wxxhSxdDrJp9LBOl5NVbLfMKEO+U7T59w5Z0XChLIhoRkArCkzeV6P4G9WIsdmxEruGi1ek3K2uSIQUwkkdLU++8YY4y7Jzg/oNILyrKN7M37agqS+XNOd1zFadNNoaH7LZO1paMKvgUyZVtVwSIkEXo/ofl8lAtecOIDqQT1aBVRAwusgF1NaxeKSpknrI2aMaTsRuUBE1ojIRyIyJc52J4qIX0SuzGX52rNkk2vGyhF1xdgqZi2tTTpDejbyRIX2OWdZLbc9WZPSN1Wods2+3Q4p80hglGSMF6VZYebijQC8MeVsPpl2Ubh/Vy4z5afKFTViNmbSGNNWIuIBfg+cB2wCFovIXFV9L8Z2PyMwXZvJkVT6fkXXaIyftiBmEHf3c6tiNkEl0yk/VQoMmTLPgqkM8SWY8Nvn11YDNAp1su8Ql9SIWWZ9Y0ybnQR8pKprVbUReAK4NMZ23wFmAVtzWbj2Ltn5AWNxCuJ21fti1o7E6rCdCfbtlBkeSe6bvraugcFT5jH67kCOt0wN5MgWVwRiapN+G2PargrYGPF4U3BZmIhUAZcBD+SwXIb0RrMl21G/wefn1idruHVmDR29JQm/TzL9fTP+yB6Ue13xdZw1JaQ+BVRdg4/bnqxxXJ+tTPmpcsc7b730jTFtF+sDJPoT/1fAD1U1bk9uEZkkIktEZMm2bdsyVb52LdH8gPGkUsOlwezsocmi46ko8zhmyU9VubeE97bspcHXnJH9uVVbX51Q1v1ouUpNkQyX9BGzpkljTJttAgZEPO4PbI7aphp4QgI/+noBF4pIk6rOidxIVWcAMwCqq6vtQylDkhnNFi/FReTynfsPph307G/04/VIRkYzNviaLQjLMY9I0sF8LlggZoxp7xYDQ0VkCFALXAt8MXIDVR0Sui8ifwWejw7CTP6kMr3RmHtezEjgk6jTuClczaoFE4SBSwIxtR5ixpg2UtUmEfk2gdGQHuDPqrpKRG4Orrd+YQXOaVTc959cDrTMN1aXQjLVirJSNgc79Rv3KJS+YSGuCMTAElgYY9pOVV8AXohaFjMAU9Uv56JMJnlOo9/8qq2SvyaToqLc62kxgfeRt78Qs6O4BNsmLVArHoXUNyzEHZ31Le+wMca0W/FqOCKTv85ZVkt9Y1PcfYkcek4o4afTaD1VOPXIHm0stcm1VAZ65JI7AjEbNWmMMe1WotGRm+sawv3IEs3zGIq5ausauGVmDYOnzHNscamqLOedDXVtK7TJKSGQbb/QgjBwSyCGNU0aY0x7FUpx4fSbvF9leVrzSMaqDxPgrKN724jHIlFo/cIiuSIQ0+BckxaMGWNM+1UaIxLzeoTJE4ZnPIu6cmheQ1PYCrFfWCRXBGI26bcxxrRv0+evwdfc+nugU1kpE8dUUVnhzfgxk0lhYRUEuRGZX7fcW0L3Cm/KCYDzxTWjJsG66xtjjNs5JW51qvHa3eBjzrJa9h2I30k/GzwicaflqSz3srshcSZ/k1iHUk+46TnQXCzcf83ogg7AQlxSI2a/Oowxxu1CHe5jTdgdb3Jwp9qybEs0N2KdBWEZEyuPXGi0bKFzRSCmYn3EjDHG7ZwSt06fvybu5OCJ8oYZd8p0v8BscUUgZvVhxhjjfk5frJvrGuJODu6xFEftUiGPlIzkmj5i1lnfGGPczSkrfugL12ly8ERNhKb4lQhEtj6nMlIy3oTxueCaGjH7vWOMMe4Wr/kxnqoiqRkxbacQszY0kXj9DnMlrRoxEbkKmAocA5ykqksctvsz8AVgq6oel84xY1GrdjbGGNcLfbEmW3sRqumorWuwifBcTjWQOT9V8fod5qpWLN2myZXA5cCDCbb7K/A74JE0j+dAsT8xY4xxP6fmx2ihmo7Ql6x9Q7hbW/sBxut3mCtpNU2q6mpVTTg+VFVfB3amc6y4+7eErsYYYyKkM6WRKT4dSoUhU+YxftqClJoV46U9yRVX9BGzHmLGGFO85iyrZfy0BW36InVSLKkLTGbU+5rb1Merrf0OMylhICYiL4vIyhi3S7NRIBGZJCJLRGTJtm3bkn9eNgpjjDEmq7LVWbpYUheYzEslmWu8tCe5krCPmKqem4uCRBxvBjADoLq6Oqn2RmuaNMaY4pTJztKRaQi6lWd+bklTPFKpEU2232G2uCKPmEogj5gNnjTGmOKSTmfp6MBrf2NTeCLuugZfRstpiksx1Yimm77iMuC3QG9gnojUqOoEEekHPKSqFwa3exw4E+glIpuAu1T1T+kVvUVJgMDwVWOMMcXDKUlriQQ6X/erLOeso3vz6vvbWqSsAFqMirTAy4Tkuo9XutIKxFT1GeCZGMs3AxdGPL4uneMkwyrDjDGm+EyeMLxFQBUSyoZfW9fAows3hJfX1jUw+enlNPnVOqSYVirLvUy9ZERemxpT5YqmSRBKxJomjTGmUDlNIzNxTBVL1u/k8UUbk56KKNT8aEwsxRSEgUsCMcusb4wxhSs6uWpoZGTIrKW1Nh+kyYi6Bl+4STvXc0a2lSsCMWOMMYUr3sjI0H1jMiUyDQoUfg2ZKxK6hnuI2S8qY0wbiMgFIrJGRD4SkSkx1l8vIu8Gb2+KyKh8lLNYxRsZaYlXTbY0+PxMnbsq38VIyF2BmDHGpEhEPMDvgc8DxwLXicixUZt9AnxOVY8HfkIw16FJjlMqgW7lXkqsa4nJoroGX0ZmasgmlwRiAZbU1RjTBicBH6nqWlVtBJ4AWswcoqpvququ4MOFQP8cl7GoxZpGxlsi7G9ssr5hJuuSzbKfL64IxDTGPWOMSVIVsDHi8abgMidfA/4ea0Vbp2hzu1jTyHTuWJr26Eevx2rTTGKF3vztks76EvzXAjFjTMpifZvH/DARkbMIBGKnxVrflina2ovoaWSGTJmX9j4tjYVJRqFn2XdFjZh1ETPGpGETMCDicX9gc/RGInI88BBwqaruyFHZXMvpy9E+zk0yuld4qUxiPtFiyLLvikBM7U/XGNN2i4GhIjJERMqAa4G5kRuIyEBgNvAlVf0gD2V0nVj9xsq9Hq4fN5CqYJBmn+zGyV0Xj6DmrvP51TWj8ZbEvlKqKsu57/KRBZ++wlVNkyVWS22MSZGqNonIt4H5gAf4s6quEpGbg+sfAH4M9AT+IIFRfk2qWp2vMrtB6MsxlG2/ssKLKjy6cAOe4EhK+0g3TqbOXdXq2tnd4CuqRK4hrgrEbOYxY0xbqOoLwAtRyx6IuP914Ou5LpcbxZrqCFpO4G0jKU0idQ2+8ETvu+p9lHs93H/N6KIKwEJcEoiF2B+vMcYUKqepjjp6Syy7vklLaKaGYgzEXNVHzBUnY4wxLuU01dGuel+eSmTcpLaugSFT5jF+2oKCT+IayR2xi/XoNMaYglfo+ZxM8YucZ7JYgjF3BGJB1kfMGGMKl2PKCvsxbTIsclL5QueKQEwtoasxxuTEnGW1jJ+2oE1NQLFSVgBE980PBWaRuaIsVjPRPCJxr4tiqYF1WSBmf6rGGJMtoc72tXUNCZuAYgVs0VMdeRyqwkKBWUVZKVMvGUFVZbn9zDYtlHs9/OLqUXwy7aJw3rlohZ5RP8QVgdih0ZL2p2qMMdni1Nk+ugkoXsA2cUwVb0w5m0+mXURzgjQVoefVFknNhsmuEiE8V2lkolan5MCFnlE/xBXpK8I1YpZ7xhhjssapqSd6ebyALTK9QL/K8oRBVoPPj2A/s9s7r0eYfuWomOkpopMDF1tSV1cFYsYYY7LHKXCKbgJKNmCbPGE4k59ajq85fphlQVj7VlnuZeolI5g4pipmQuDQhPLFEnhFc0XTpAVixhiTfck2ATn1zams8LboNwbQuaMr6gNMFu090ATEbvK+dWYNd85Zkd8CpsklfwGB30s2atIYY7Jn4pgqlqzfyeOLNuJXxSPCFWNb10RMnjC8RQZ9CDQt7a73hZO31tY1JFUbZoxfldtnr6BDaesZGJTA/KTPvFNLfaM/qWZJp1q1fHFVjZiI/UEbY0y2zFlWy6ylteG5IP2qzFpa22rUZPToyKrKckpLhOao/fmarT3DJKfB5w/PLRnL/kZ/UslcUxn5myuuCMTCGWYsDjPGmKxJdtQk0GJ05BtTzqbBFx2GBcT72HZKb2FMPPGSuaZyDeeKSwKxEIvEjDEmW5LthJ8pfhsJb9oo1Ws1n8lfXRGIhf5W7beTMcZkXig5q1NYlEzizO4V3pSOaZ/nJh1O12Sqy3MhrUBMRK4SkVUi0iwi1Q7bDBCRV0VkdXDb76VzzFhUQn3EMr1nY4xp3yL71MSSbOLMuy4egdeT/Ie01YWZtop3TRZi8td0R02uBC4HHoyzTRPwfVV9R0S6AEtF5CVVfS/NY7eiNvrGGGMyKlafmpCqFEacxUq6aRnzTVt5S4TOHUupq/fRrdyLCNTV+xKOgizE5K9pBWKquhpA4lRFqeoWYEvw/l4RWQ1UARkLxFRt0m9jjMkGp74zArwx5eyU9hWddHPMPS+G01kYk4rpV8XOsp+MQkv+mtM+YiIyGBgDLMrkfg+lr8jkXo0xxmSzT81Bh5o2YxIppEAqXQkDMRF5WURWxrhdmsqBRKQzMAu4RVX3xNlukogsEZEl27ZtS2rfapN+G2NMVmSzT029Q0oLYxLJZ96vTEvYNKmq56Z7EBHxEgjCHlPV2QmONwOYAVBdXZ1kZGVNk8YYkw3Z6FMTymxuTFtNfmo54I6asaxPcSSBDmR/Alar6i+zcQzLzWyMMdmR6elg5iyrtamNTNp8zcrdz60qqE73bZVu+orLRGQTcAowT0TmB5f3E5EXgpuNB74EnC0iNcHbhWmVOooFYsaYdIjIBSKyRkQ+EpEpMdaLiPwmuP5dETkhH+XMtWxMBzN17ioLwkxG7Kr3FdRURW2V7qjJZ4BnYizfDFwYvP9vsp6bLzjpt2VhNsakSEQ8wO+B84BNwGIRmRuVYufzwNDg7WTgf4P/u1q86WBi1TwkU3sWb75AY9IR79osZO7IrB+O8ywQM8ak7CTgI1Vdq6qNwBNA9GCkS4FHNGAhUCkifXNd0FxLZTqYQpxM2bQ/+ZyqqK1cFogZY0zKqoCNEY83BZeluo3rpJK6ItnJlJ2mOhKgU5kn5jpjIpV7Syj3xg5fupWnNpVWIXBFIBZioyaNMW0Q65dc9IdJMtu0Kf1OIUsldUWytWd3XTwCT0nrl1OB/Y2WV8wk1qNTBzp6Ywftuw/4GDJlHuOnLSia2lhXBGIWfhlj0rAJGBDxuD+wuQ3boKozVLVaVat79+6d8YLm2sQxVdx3+UiqKssRAlMaXTG2iunz17T6skum9mzOslqmzl2F3zrrmzRsrmugzmFGBlWKrmk86+krcsEy6xtj0rAYGCoiQ4Ba4Frgi1HbzAW+LSJPEOikvzs4fZvrRU4HE+oHFmqCDH3ZQaD2LHIdBOYDrG9sYsiUeVRWeNl3oMlGTJq0hYL7RHOVFkvnfXfUiAX/rq1p0hiTKlVtAr4NzAdWA0+q6ioRuVlEbg5u9gKwFvgI+CPwrbwUNs8SjaKMrD2rLPfSTCDFgAb/tyDMpCvUND55wnC8nsS1L8XQed8VNWKHBk3aH7kxJnWq+gKBYCty2QMR9xX4j1yXq9Ak6gcWmYU/UW2FMcnyiOBXpSoqJcrUuasSpkPJxJyo2eaKQMxGTRpjTPb1qyyPGWD1qyxnzrJa7n5uFbsc+u4Y0xYCfHxf7BzwuxMEYZmaEzXbXNE0iTVNGmNM0uYsq2X8tAUpjy5zGkV51tG9uX32CgvCTMbFq9FKVNt13+UjC75/GLgkELPwyxhjkpNO4lWnUZSPL9rYqu+YMekS4KyjnUcfT54w3LE9rKqyvCiCMHBNIBYcNWkhmTHGxJVs4lUnE8dU8caUs/lk2kVMnjCcWUtr8Vv/XJMFCsxaWuv4I2HimCquHzewVTBWLE2SIa4KxIwxxsSXyrRFicQK6ozJpEQ/Eu6dOJL7rxndopa2WJokQ1zRWf8Q+1VmjDHxxOtwn6pkgzfBPp1NgEjqCQ4SXWeRue6KkUtqxAKsadIYY+JLZdqiRCod5o2MZp/MJqRjqYfKFOeDTPQjoa2DTwqFK2rErGnSGGOSE5nra3NdA/2icjMla86yWvYdaMpGEY2LNfj8dPSWUO71JNWsHTk7Q+S1OmdZbThfXWSNa21dA7fMrOHu51Zx18UjiqKmzBWBWJj97DLGmIQy0ZQzff4ay5Rv2qSu3sf914yOGUjBoabsynIv+xubwmlRQiN8l6zfyaylteFALtZVuKveF55+K961Hgro0vlRki5XBGLNNmrSGNPO5foLxTLnm7YqEeHWmTV0K/fSvcLLrnpfzOz546ctaJU5v8Hn5/FFG5Maqdvg8zN17irHv4t4c6fmMhhzRR+xUPxlI6iNMe1ROrnB2soj1iXEtI1fFQXqGnzh2i6/arivYigIcuqkn0q6lLoGn+PfRbqpXDLFFYFY+C2xSMwY0w7l6gslslO05Q4zmdbg8/P9J5eHAyWnTvrp/AiI/LvIZCqXdLiiaZLwm9Kc12IYY0w+ZPILJVYTJ2DzSJqc8KuGmwcnTxjeoukQAiN8rxhb1aKPWKpCfxeZTOWSDnfUiKlVkRtj2i+nL45Uv1BiNXFOfno5k59abkGYyZlQrdXEMVVcMbYqXAPmEeGKsVXcO3Fkq6m2fnXNaH4Vldi1u0N6ldDfRSZTuaTDFTVioQpyqyk3xrRHTjUHqX6hxGri9Pntg9Xk3ua6BuYsq20xhZZflVlLa6ke1MNx5G/ksujO+NDy7yJTqVzS5apAzPJXGGPao0x9obSlKdOy5pts6FdZHrfvYzLXdjJ/F4WQld8Vgdgh9nFgjGmfMvGF4tRnJh771DWZFqq1unVmTcz1tXUNDJ4yr0WqCyeFEGgl4o4+YqHM+vaJYIwxbRarz4wxuRQ5aXeiPo65SNOSCy4JxEL/26hJY4xpq4ljqrjv8pH5LoZpxyJruJL5YZCPvF+Z5qpATBxqxFZv2cMJP3mJbXsP5qxMxpjMkYAbROTHwccDReSkfJfLjSaOqbJkrSZvJj99KI9Ysj8Mcp33K9PcEYglSF+x/cnv8o2DD/PaB9tyVCJjTIb9ATgFuC74eC/w+/wVxx0iE7SOn7Yg/AVoyVpNvvj82iKp68QxVVQlaKLMdd6vTEurs76IXAVMBY4BTlLVJTG26Qi8DnQIHu9pVb0rneM6i/3hcfquZzi9FJ7S+7JzWGNMtp2sqieIyDIAVd0lImX5LlSxiUzWWlnhZd+BpvDE3aH+Nk8t2ZDnUpr2LjKp68QxVTHTs4TkI+9XpqVbI7YSuJxAoOXkIHC2qo4CRgMXiMi4NI/bggar0VXj9xGz33jGFC2fiHgI/hmLSG8yMJWGiPQQkZdE5MPg/91jbDNARF4VkdUiskpEvpfucfMhOlnrrnpfOAgLafD5eePjnfkpoDERIvt+hZooQzVjoabzyI79xSytGjFVXQ0gcfoTqKoC+4IPvcFbRmMiq0U3xvV+AzwD9BGRnwJXAndmYL9TgFdUdZqITAk+/mHUNk3A91X1HRHpAiwVkZdU9b0MHD9nYuVkMqaQRfb9KoY0FG2Vkz5iIuIRkRpgK/CSqi7K5P710LBJY4wLqepjwA+A+4AtwERVfSoDu74UeDh4/2FgYoxjb1HVd4L39wKrgaL7Rij2Ds2m/VFo0XfRrRIGYiLysoisjHG7NNmDqKpfVUcD/YGTROS4OMebJCJLRGTJtm1Jdq4P1chZ1ZgxriQiA4F64DlgLrA/uCxdh6nqFggEXECfBOUYDIwBMvpjMheKvUOzcTdvSeyWNbfkCosnYdOkqp6bqYOpap2I/BO4gED/sljbzABmAFRXVycVWYUTulqVmDFuNY/AH7gAHYEhwBpgRKInisjLwOExVt2RSgFEpDMwC7hFVfc4bDMJmAQwcGAm4sTMidXh2esROpWVUtdgE3qb/OrcsZSKstKYMzukMq1RMcp606SI9BaRyuD9cuBc4P1MHqM52fjL4jRjipKqjlTV44P/DwVOAv6d5HPPVdXjYtyeBT4Tkb4Awf+3xtqHiHgJBGGPqersOMeaoarVqlrdu3fvVE8zqyaOqeKKsYdyhHlEuObEAdTcdT6WNczkW129jzemnO14Lbq5aT2tQExELhORTQTy+8wTkfnB5f1E5IXgZn2BV0XkXWAxgT5iz6dzXCdqTZPGtAvBPlsnZmBXc4GbgvdvAp6N3kACo5H+BKxW1V9m4Jh5ceecFTy2cEM4R5hflVlLa5mzrJbKCm+eS2fau1DTuVMTupub1tMdNfkMgZFM0cs3AxcG779LoE9F1hzK5xo/EFOrEjOmKInIbREPS4ATgExkaJ4GPCkiXwM2AFcFj9cPeEhVLwTGA18CVgQHHQH8l6q+EGN/BWnOsloeW7ih1Sdgg8/P1Lmr2H+wKS/lMgZa5gKbPGE4k59ejs/f8mqtrWtg/LQF4e1C+fD6JTHxd6FLKxArFIky6xtjil6XiPtNBPqMzUp3p6q6AzgnxvLIH5P/huJuvZs+f43jz1DrH2ayaWifTmzadaBl38QSoXPHUurqfbEDKYeLtbaugclPLwelVSJioGiDMVcEYiFiTZPGuE4wkWtnVZ2c77IUKzf3rzGFbe22en5x9aika7Cmz1/TKtFwpOiaMij+zvyuCMQOpRFL0DRpcZoxRUVESlW1SUROyHdZilm/yvKYo9EAOpV52N9oiV5NdvhVuXVmDf0qy7n/mtEJg6W2/mgo5h8b7pj0u7hbDYwxzt4O/l8jInNF5EsicnnolteSFZHJE4Y7fkp6PSWUez05LY9pX5Tk84G1tVN+MXfmd0UgFmZVXsa4VQ9gB3A28AXg4uD/JgkTx1TF7SPW4PPjkE/TmIyJnD/SyeQJw+P+MPB6pFXy12Kf+NsVTZPNmlxmfQvTjCk6fYIjJldyKKFriP1Jp6AqTvMkpJCP0ZgYRODUI3qwcO2ucIqUWBI1IYaaLkN9yrqVexGhRcf+yPU2arJA2OeHMa7lAToTe9Si/emnIFZmfWMyRRXW7WjgF1ePYuKYKsZPWxAz8E+mCTGZCb6LOfCK5opA7BD7XDbGZbao6j35LoQbRNY0xKsZMyaWRDWq0DKVRKzAv9ibELPFFYFYuLO+9REzxm2s51KUOctq29QsE/k8j0jc5iNjIoUCqGSC+Aafn1tm1lBVWc4VY6t49f1trmlCzBaXBGKt78Xczj53jCk2rZKttmdzltW2qGVINpll9PMsCDOJdCrzUN/op7LCiyrcOrOGygov3hKJm+crpLaugVlLa7nv8pEWfCXgilGTyaavsCmOjCkuqroz32UoJNPnr2nVxyuZkWixnhfNRk2akMpyL6vuuYD7rxnNAV8zdQ0+FNhV7wMJrBcITyDvJJlr07gkEAuxSb+NMW7mNOIs0Ui0ROurKsutxcCE7Q5OexUrgPf5lU4dSvlk2kX84upRCXPQWX/ExFwRiIU+P8RqvIwxLuY04izRSLRE60N9eIyBQ9dLosB/4pgqrhhbFbdmTCBhEtf2zh2BWJKTftsvPmNMMYuV7DKZkWiJkmQqUN/Y1CpRpml/Iq8np+C8ssLL+GkLGDxlHo8t3BC3z6GCNU8m4JJALPqOMca4z8QxVdx3+UiqKssRAk2KyXSGDj2ve4XXcZvI/j9gw1Xbi8pyr+P1FCuA93qEfQeawk2OyXzrFvM8kLngjlGT4U8MC8SMMe6WTLLLeM8bc8+LgaArhlD/ny+M6sujCzekW1RT4ASYeskIx+spOst9v8py9h9soq4h9vXjxJq943NHIJZk06QxxrR3dQ5BWMjmugYeX7QxR6Ux+SLA9eMGJlWbGrnNkCnzUjqOJXFNzBVNkyGJRk1afZkxpr1LpmO/5Rlzt8pyL/dfM5p7J45M+bmJrh9vidC9wptS03l754pArDncmyHBh4d9uBhj2rnJE4Y79v+S4Hrrs+9unTqUtjk4itVvLHS5VFWWM/2qUSz78fl8Mu0i3phytgVhSXBH02T4jgVaxhgTz8QxVdwysybmOg2uv332uzT4mnNaLpM76XSej9VvzKYuSo+7AjFjjGknUp1zMpm5JkOjKi0Ic7d0O8+3dcCIic0VgZgxxrQnyc45GQq+ausaEA79aHXqA7bvQBPX//GtbBbdFID9B5uYs6w25WCqrRPOm/hc0UcsPGpS7VecMcb9kplzMhSspZLvydesvPGxTe/pdnUNPm6fvSKljPdzltUy+anl1NY1oASC/8lPLbes+RngjkAs6Um/jTGm+CUz52QyE32b9iHWN2SqE3JPnbsKX3PLb1FfszJ17qo0S2dcEogFLg6ba9IYkwoR6SEiL4nIh8H/u8fZ1iMiy0Tk+VyWMdqcZbWUOMztF+r7c+ecFTbZcjvljfhWLxG4YdxAx21T6bTvlMQ11eSupjWXBGKhpskE21mcZoxpaQrwiqoOBV4JPnbyPWB1TkrlINTcGKuPVyhx5p1zVlhW/HYscpxFs8LMxRupdJjayjLeFwZ3BWLGGJOaS4GHg/cfBibG2khE+gMXAQ/lplixOTU3ekTCiTNTzYpfIjavpJv5/IoqbZosPpLTPKXx5i81yUkrEBORq0RklYg0i0h1gm2zVq0f+nGoxO+snyjzvjGm3TlMVbcABP/v47Ddr4AfQPwPGRGZJCJLRGTJtm3bMlpQcG5KalYNj15LJSu+1yP88urRfDLtooyUzxSm3Q2+Nk0WH+mui0fg9bQM2b0e4a6LR2S4tO1PuukrVgKXAw8msW2oWr9rmsds5fj+lbCRhG2PFoYZ0/6IyMvA4TFW3ZHk878AbFXVpSJyZrxtVXUGMAOguro6rY+cWKkC+lWWx+z7pcD4aQs46+jeSe/fI8I1Jw5g4pgqG/mWBZHpQvJNCdSmhmrAps9fw60za8LLkgnILJFr9qQViKnqagBx6DgaElGt/1PgtnSOGcvZxxwGb5Hwqm8ulL8KY0zOqOq5TutE5DMR6auqW0SkL7A1xmbjgUtE5EKgI9BVRB5V1RuyVGTHPGFXjK1i5tsbW41eC22TSt8wvyqzlgYCsJmLbZLvTCu0r5vaugYmP70clPD145R/zoklcs2OXPUR+xVJVOuna/Wne/hszwHH9dY0aYyJMhe4KXj/JuDZ6A1U9XZV7a+qg4FrgQXZDMLAOU/Yq+9vo3PHzOXhbvD5eXzRRnx++2wsFun05/P5tVUQn2oaC5N5CQMxEXlZRFbGuF2azAEiq/WT3L4NfSwCl+ZI+YQHX1vruJXFYcaYKNOA80TkQ+C84GNEpJ+IvJCvQsXLE1ZXn9l0Aan0KTP5JcAn0y5i3bSLMjrAIp25J036Ev60iletn6SUqvXb1Mci2DT6A+9Mvlk3yXGzZvvAMcZEUNUdwDkxlm8GLoyx/J/AP7NdLqe+YKF0A23JEeY0v6TTclN4ItNNOF0j6e7X5F7WmyZzU61/6LfBll31zmXJ7EGNMSYrJk8Y7phuINa6RMq9Hq47eUDMfV538oBWo+HyqXBKUlii003Eug68HsFb4vwKxlqfahoLk3nppq+4TEQ2AacA80RkfnB53qr1S/dvdlxnNWLGmEIyZ1kt46ctYMiUeYyftiA8enHimCrHdAOR6yBQo0VwmxvGDQwvjxxD1aG0hOpBPbjv8pEt8j41+f08tmhD3D5iuQ6M3PIp3anMww3jBlJZ7pxnyylmCr13ke/tFWOrmD5/TfhaAVpdI9OvHMX0q0aFl1WWe+le4UUI5PvqVFaKr1lb7DfVNBYm89IdNfkM8EyM5bmt1o/4xOlx0DkQUxs2aYwpEE4jI+HQ6DSnL8hEo9ei9x2a5PmKsVUciEi97kti+JQSqDUJfWFH79vE1qxQPagHgONo1mYN1FJNv3JUzNfWr0q518NZR/dm1tLaVtfKfZeP5I0pZ7fab/S14bRfSz9RGFyRWT/yN1tF066WqyJqwVSzOmjTGGOS5jQyMhMj2Jz2/fiijW0KoCLLZZOJJyf0miWa6cDn17ivrdP7lsq1ks1rzaTPJYHYId11N41NEQFXRCB2/0tr2G0TlBpjCkC8kZHZ2nc6nfJD+7QRdsnbXNeQ1Gue6LV12key70U2rzWTPncEYhHt7D1lNzv3N0asPHQBD5ZP+XjbvtyVyxhjHDiNVMvECDanfXgSJN9OZp82wi55/SrLk3rNE722TvtI9r3I5rVm0ueOQCwiEuvJ3pZDeiOaI1/pMDmtDyJjjMmUeCMjs7XvWCMnkxFZrraM2myPQq/ZdScPiLud1yNxX9t4I16TvVayea2Z9GUuRXNeHar16iW7+XjbPsYO6h5c1bJKt8QCMWNMAcjm3H3x9l09qEd4ebm3hIam5pjJrjuVeahv9LcqV/S+Kyu87GnwETnw0iPgNBCzwlvC5WP78+r726ita3BNHrNybwkdvR7q6n0tXrPQ6/X4oo2tzrN7hZe7Lh7h+No6vW+pXis2T2Rhk0Ke9qe6ulqXLFmSeMP1b8FfLgDgfR3INzv/hle/fyYlJQJNB+HePuFNV35jA8dVdctWkY0xaRCRpapane9yZELSn1/GGNdoy2eYO2rEmg7NLzlEPmXDjn2s/nQPI/p1sxoxY4xJYM6yWu5+bhW7gtMnVZZ7+cKovuFaq1gitwnVjKnC7oZAjdBZR/cOr+tXWc7gnuW8+fHOuHnCyjyCz6/hGpvfv/ohH27dn9Q5CIG2kbbUsJUInHJED9btaAiXN7r8kycMZ8n6neGaLY8I1508gHsnjgzvZ86y2la1TpD5mqjQcSJrFKuslqtouaNGbM0/4PFrwg9/4ruBIy75AdefPAga6+G/+4bXvX/zRo4+vGs2imuMSZPViOXenGW1TH56uU38nUAJECsB0g3jBnLvxJEx86t5SwSEFq9tZE62toiXxy3dfZv0teUzzB2d9YM1Yiu9x6HeTkwsW8yzy0KJXe3DxRhjnEyfv8aCsCQ4ZaEM5QmLlavL16ytXtt083fFy+NmucGKkzsCseDIyONGjEZO/CrHspZ3121h+76DrZommy2nqzHGhFkuqfSEmkFTeR3Tec0TPdfez+LjjkDsmIth/Pdgwr0w/CI86uOLngV88NleomvEbL5JY4w5xHJJpSeUEimV1zGd1zzRc+39LD7uCMQ8XjjvHijvDoNOoanyCKpL1vDBp3tb5BEDC8SMMSbS5AnD8XpsEFMiTl+WoTxhsXJ1eUuk1Wubbv6ueHncLDdYcXLHqMkonsOP4ei6Gv69dR9o9xbrbN5vY0yxyMToOKd9RI4K7FbuxedvZn9joO9RZbmXEf26sHDtLscRiKFRk/Pe3RIebRkauRhr/w0+Pwebst83JJ28ZKHnRv9flcSoSadcXbGWpdOZPvI4ke9pZbkXEbh1Zg3T56+xEZRFxJWBmPQ+hkHv/521W3YC/Vus81skZowpAtGj40LBRW1dA7fPXgGQ8Is23j4eXbghvF1dg49yr4dfXTOaiWOqws9zCmjKvR6mXjICgFlLa8PLlUO1MqH9TJ27iroMz/HrKRE6eIR6X8vArtzroX/3jnFTXlSWe5l6yYgW5xn9+kT+H3k+E8dUhQOvO+es4PFFG3l04YZwUFY9qEfS5xAr1UUqCVojt40+j1SuEZN/rgzE6H00Hppp3PoR6MgWqwo5XYcxxoQkMzou0ZdsvH3E22ei50WOzoveLnKdU5qFdPmblfoYP6obfP6EecfqGnzhICWZ1yfWa33nnBUtAlm/Ko8u3MDfFm4Ij66srWtg8lPLW6SvCAVIS9bvZNbS2owFTrHOI9lrxOSfSwOxQHXw4Y3raGhsIrLrotWIGWOKQSZGx6U6gq62roE5y2qTep5TotfQcVMJAnMtFKQk+/rU1jUwZMq8cM1VKGVFtOiGV59DsBhruqMGn5/bZ7/bpqZop/OwEZTFwR2d9aP1GgrAkbKZ7fsOtFhlcZgxphhkYnRcW0bQ3T57Bd3KvSk/L/q4hR4E1Ab7riVLOVRzle7cmE7Pb/A1hwPc6KboOctqYz4HnN9nG0FZHNwZiHnL8XXozmGyi+17WwZi1jRpjCkGmRgd15YRdA0+PyI4HjuRUNnyEQSUez0M7dMpqW09IrRlxrtM1PJ5UjxwokStsa4VG0FZPNwZiAH+Tn3oI3XsiArE0v0lY4wxuTBxTBX3XT6SqmBAE/ryrqos577LA31fx09bwJAp8xg/bUHMGpO29g+qq/eFjy0EOrh3r/CSKHwIlW3imKq4gaSTkjSyaFSWe7nv8pG8dNuZSQVjflXq6p0HEbSlKNFfqE7pK0IpL1IRr4Yx8loRWr4PpvC5s48YUNK1L322b+R9a5o0xjgQkR7ATGAwsA64WlV3xdiuEngIOI5AK9VXVfWtbJcvenRcSCqj5Koqy+P254qlX2W547HHT1sQc39VleW8MeXsFmWH1qkbQn2gnJ7vtP94vB4Jj4QEeOm2Mxlzz4vhtBqxhALctpQllJ4jOpVF9aAeSaeviEz7kYxENYxO75cpfK4NxLzd+tJHVvDGvoMtlltCV2NMhCnAK6o6TUSmBB//MMZ2vwb+oapXikgZUJHLQkZLZZTc5AnDUxq9mKhJK9b+nJ7jFBzEe36q5YXAqMToc7/r4hGOk5l7SyR8vFTLEpnOIpTKIvqck1l218Ujkj5Pa2Z0N9cGYtLlcPpIHTv3tvw1868PtnN8VTd6du6Qp5IZYwrIpcCZwfsPA/8kKhATka7AGcCXAVS1EWjMVQFjSWWUXKyaqehkqyKB5shk8lk51XSlkgMr3vMTldfpp3T0uYf2c/dzq1rUPEXmEQtJpSyZSpQa7zzTSeBrio8Ucuf16upqXbJkSduevPAB+McPufOwP3DvZ98KLx584G8c1aczL9/2uQyV0hiTKSKyVFWrc3i8OlWtjHi8S7XldBwiMhqYAbwHjAKWAt9T1bgJq9L6/Eog2eZBN2rP524KX1s+w1zbWZ8uhwNQsm9Li8Ufd7ie9Vvr8lAgY0w+iMjLIrIyxu3SJHdRCpwA/K+qjgH2E2jCjHWsSSKyRESWbNu2LUNn0Fp7HiXXns/duJNrmyZDgVjHA1tbLPaI0ovd+SiRMSYPVPVcp3Ui8pmI9FXVLSLSF9gaY7NNwCZVXRR8/DQOgZiqziBQe0Z1dXXWmhuy2WRW6NrzuRt3cm8g1vkwACqbtrcah9xV4k+BYYxpN+YCNwHTgv8/G72Bqn4qIhtFZLiqrgHOIdBMmVfteZRcez534z7ubZqsCEy+WuHf22pVD2m9zBjTLk0DzhORD4Hzgo8RkX4i8kLEdt8BHhORd4HRwH/nuqDGGHdyb41YWWcAukh9q1XdsUDMGAOquoNADVf08s3AhRGPa4CcDSIwxrQfadWIichVIrJKRJpFxPFDSkTWicgKEakRkewMI4pW4sHnqaArrUfXdJd9NtWRMcYYY/Iu3RqxlcDlwINJbHuWqm5P83gp8Xs709XXuj9Yd/bS6G+mQ2nb5lIzxhhjjMmEtGrEVHV1sPNqQfKXdaFLsEZsPx3DyzvLAeoPpj9xqzHGGGNMOnLVWV+BF0VkqYhMytExoawzXQj0EWuOONUKDrC/sSlnxTDGGGOMiSVh06SIvAwcHmPVHaraaqi3g/GqullE+gAvicj7qvq6w/EmAZMABg4cmOTuHXToEu6s7+dQM2QnOUBDox9VRUScnm2MMcYYk1UJA7F4yRCTFRyBhKpuFZFngJOAmIFYJhMilnTsSldaB2IVHOD22SvYWd/IvO+cTnmZ9RUzxhhjTO5lvWlSRDqJSJfQfeB8Ap38s85T3pUSCcRykU2TnTjAR+s3sHbbft5am9PxA8YYY4wxYemmr7hMRDYBpwDzRGR+cHlkMsTDgH+LyHLgbWCeqv4jneMmq7Sia/h+sxw61SNKtlDT8ZtMLf0rO/Y15qIoxhhjjDGtpJW+QlWfAZ6JsTycDFFV1wKj0jlOW5V0OBSIRTZN9pdALdiXS19kRr0FYsYYY4zJD/dOcQTQoUv4brPE7ge2c78vV6UxxhhjjGmh/QRiDqe6e3/rzPvGGGOMMbng8kAsso9Y7Bqxg3t35qo0xhhjjDEtuDwQa900uU87ttjEv99GTRpjjDEmP9pNIBayRge0eOw5sCtXpTHGGGOMaaHdBGKlBOaW/Ki5KriuGwDeg3W5LpUxxhhjDNCeAjENBGIfaBV84X744hMANO6vY/CUeWzdeyAvRTTGGGNM++XyQOxQZ31PsEbMRylUfxV6DQPgdM8KjpDNbKmzQMwYY4wxueXyQKxz+K5oExAMxCAcpF3u+TcLOvwnTc3NOS+eMcYYY9o3dwdipR3Cdz0aUSMGUFqGXw5NLLD3QFNOi2aMMcYY4+5ALEK4aVIP5RPz6KHga/9Bf87LZIwxxpj2rd0EYl4JND36HKbXvGvuKpass+SuxhhjjMmddhOINXfqA8QOxHZoF7bvO8iVD7yV62IZY4wxph1rN4FYlz6DAPARMdXRN16luf+J9JS9POSdjhfrJ2ZMeyIiPUTkJRH5MPh/d4ftbhWRVSKyUkQeF5GOsbYzxphUuT8QO+y4wP/NgT5gvbodGklJ1QmUDDkDgHM9yxgh6/D5bfSkMe3IFOAVVR0KvBJ83IKIVAHfBapV9TjAA1yb01IaY1zL/YHYN16FOz4Dvw+Aey4b03J92aHA7LiST3jkrfU0N2suS2iMyZ9LgYeD9x8GJjpsVwqUi0gpUAFszn7RjDHtgfsDsdIy8HaEo84BoKLPkJbrI7LvHyFb+Mnz7zF/1ae5LKExJn8OU9UtAMH/+0RvoKq1wP8AG4AtwG5VfTGnpTTGuFbsIYRudNptcMKN0Dnqc7ZyYPjuV0v/wYrmIcxf1Y8j+3Rm2GGtJw03xhQXEXkZODzGqjuSfH53AjVnQ4A64CkRuUFVH42x7SRgEsDAgQOjVxtjTCvurxELKSlpHYQBDD0frno4/PD+sv9lTs1mvvCbf+ewcMaYbFHVc1X1uBi3Z4HPRKQvQPD/rTF2cS7wiapuU1UfMBs41eFYM1S1WlWre/funa1TMsa4SPsJxJyIwIiJqLcivOgHpU/Qwb+PUXe/yI59B/NYOGNMls0Fbgrevwl4NsY2G4BxIlIhIgKcA6zOUfmMMS5ngViQ+OrD979VOpcLPYvY3eBj9ju17DtoaS2McalpwHki8iFwXvAxItJPRF4AUNVFwNPAO8AKAp+bM/JTXGOM27SfPmKJ3DAb5nwL9gU66v/M+0dGyDp+/MJXWL1lD7+8ZnR+y2eMyThV3UGghit6+WbgwojHdwF35bBoxph2wmrEQo46B65/ssWiG0tfYphsZPayWqb9/f08FcwYY4wxbmWBWKTDRsI5d8HYL4cXvdjhh/RmFw+89jHXzniLz/YcyF/5jDHGGOMqFohFKimB02+Di38N1zwWXvxc/8fowy4Wrt3Jyf/9Cs+/u9ky8BtjjDEmbRaIOTn6IvjWQgAO3/4mb3f8D67vvx2Ab/9tGUPv+Dtvfrw9nyU0xhhjTJGzQMyJCPQ5Br48L7zop9u/y9IT5nPFCf0B+OIfF3HZH97gycUb2W8jK40xxhiTorQCMRG5SkRWiUiziFTH2a5SRJ4WkfdFZLWInJLOcXNq8GnwtZcgODl4z/ce5hfvncErp6/h4uP7smxDHT+Y9S6j73mRn857j5W1u1G1uSqNMcYYk5ikEzSIyDFAM/Ag8J+qusRhu4eBf6nqQyJSBlSoal2i/VdXV+uSJTF3mR8b34Z3HoFl/xd4fPhIdladxUP1n+PlzV4++GwfAAN6lHPmsD6cdXRvTjuqN2Wl7q94/Pjvv+GBlcJPbvkWHb2efBfHFCkRWaqqjj/qiknBfX4ZY7KuLZ9haQViEQf+Jw6BmIh0BZYDR2iKByvYD7KPF8D8O2DvFmjYFVg26DT2DLuMF5pO5PkPD/DW2h34m5Wy0hLOP/YwPjesN58b1ps+XTvmt+zZMrUbACu/sYHjqrrluTCmWFkgZowpZm35DMtFQtcjgG3AX0RkFLAU+J6q7s/BsbPjyLPhW2/Bvq3w5m/hwxdhSw1d1/+ba4Frex/DwTPOZ1nJSObsGsQrH+3k+Xe3IALHHN6V8449jHOO6cNx/bpRUiKtdr91zwE6dSilU4ciybfr94XvbrMpoYwxxpikJfymF5GXgcNjrLojOGluMsc4AfiOqi4SkV8DU4AfORxvEjAJYODAgUnsPo8694HzfxK4NTXC5ndg/Zvw/jw6LPw144BxJaVov7HsPGoYS5qH89yOKn6zYA+/fuVDenUu43PD+nDm8N6cPrQXlRVl/HPVRr772Nsc2f9wHv/GODqUlhCY3q6A1e8I363d1ZDHghhjjDHFJWEgpqrnpnmMTcCm4HxtEJizbUqc480gOI9bdXV18fR6Ly2DgeMCt9Nvgz1bYP0b8NlK5JPX6fnRbCb49jMB+HXvAdR2O4E3fMN4fPUAZr3TExCqKsuZVn8Xi73v8Y1N36f6R5s55dghfGX8YHbX+5gw4vBWNWi79jfy0urPuGRUv7h9s1Zt3s1L733G984ZmvnAbt/W8N3Nu+rjbFhYfK/8N9v6jKffyM9ldL8Htq9n5uINfPH88Xg97u8faIwxpu2y3valqp+KyEYRGa6qawjM6/Zeto+bd137wsgrAzcI1Jjt+AjWv4Hnk9cZuP4NBtY/y3WAr7Inn3Y8koZGH8NK3gXgkbKfAXDz+7fw7gcf8ax/PA9UHU+PTmWMP6oXXzttCO+u38rcP09jn9/D7vpvcf24gXQo9eCJCtbU34T3gVPY7T+b5cPvZfSAysye6/5DgVj93p2Z3XfoEOuX8eIHu7n47DMozURw01iP918/ox/gO3ZXRgOmjr87npuAJ3uv5OrqARnbrzHGGPdJKxATkcuA3wK9gXkiUqOqE0SkH/CQqoYmzf0O8FhwxORa4CvpHLcolZbBYccGbid9A1Rh+4ew/g28mxYzYOtqKK2HcXdCaTm8eAcAD5T9CoCbyv7Jh1t7c4AO3P/hFbz4zmj+c8eP+FHJ+1ACY/9xIm+8+jy7eozhV9edwMvvfcapR/VkRL9uLH3tWapLarmr5P+4a+kknlu2kUlnDuUwh4EDn6z9gF++uokvjDuWCSNitUq3dGD7OkJ72lCzgBPf28niqRdn4lUL6/SXM7kM+FN5DV87bUj6O9y9MXz3sz0H6N+9Iv19QuB9DWpuLp4KXWOMMfmRViCmqs8Az8RYvhm4MOJxDeCKkVAZIwK9hwVu1VFxqe8AdOoN3QfB8sdh8Ol0fPFHHL/3EwAe7fAz6us60qVkH80dulFycDdLyyaBwo8/vYlH73+cCg7y9ZfOZ8rlp3DSvw61BJ+79P8xULZyz96Z9KvsyI2nDKZP1w4IEkizoUrvR8/ht817uO6TqZx657fp0tEb91T2r1sWDsT+XPY/PNp0DvWNn6eiLEMVrhHBzeq1GyATgVjdBgCaVdhcl8FAbN9n4buF3rXPGGNM/hXJsLx2xtsRRl0TuD9wHAAy5Aw4sBs6dMXzyj10adwHo6+nZNj58H+XBVJqAPd4Hw7v5nTPR2ya/Qh9PVvZNOKb9F/1IKd7VgIwfvVP6CwNXPzvrzCxwzssLR3F7/7fpez8958Y07wHgK/Ic/zXE2NpoCP/c/Votu49yNA+nVv3Mft0Bfu0I50lMCH66JKPOemnr3DrecMY1b8b1YN7pPd6HNgdvttn3bM8+du/c9SlP+SEgd3bvs9d6wBopJSVtbs5vGtHBvbMQDC2c2347p79GRy4oArNfvDYn6wxxrhJRvKIZYvl4UnSwb3wwfxA9v9nvw09joCufdGX70bUz/7hV9Dpqgfg3t6Ou1itg7ifG/g10/nMW0W/QcMo+3g+B9TL281H87T/DHyUMuzM6xnXv4yFmw7yzTOPoqJUaPxJP/6lIzmHxeH9LW0eSnf28lXfZB79wRfTq3H6dCU8ML7FolrtxbOD7uBbX/1qm3Z5cO5tdHjnTwDs0s58y/c9Hv/vH7S9jCGrnoGnvgzAXP8pVFz1AOcePzj9/b7xG3jpR3B7LXTonP7+CpTlETPGFLNCzSNmsq1Dl0ODAq5/MrxYjrkE9n5Kp4HjAu1kX/kHbHobEHRPLXy2Eta/ycEjP8/RH89nhv6UfaXd6fPVv1G28V/w8Xw6io8zPCs4w7MCgCdfr2GUZyEHm4/mKysnc/sZPRitB/i05zjYcSgQG1vyIQB3lD7Gl34OoyoPclT1uYwZ2IOxg3uklH2/eevqVnNxVcl2Jqz7OfWNN7apCbRxy3t0CN7vLvv4QslCVDX9EaURI0gv8bzFj2f+knOP/016+4RAEAYsWbqQ6lPTHchsjDGmUFgg5mY9hgRuIYNOCdwAAfA3wb5P6ditP2xcDJ+8RuexX4ZOvaDXIJrffYo9gyfQ9Z0/0ODpQkcOcvW+1wA407OcI3d/H/9caJAyqs+7Fp74basinOd5h/M870AD8K//oqb5CL7Y/T5OG9yFsSMCTZcHfM0c3i3Qy2xnXR3r/nYLr+zpz7AJ3+TSMQPYu3oBpdqBTtIyWayHZlZt3kP1oO7sbvBRWVGW9Evj3fkBjeqhTPwAVMpefvv8Qr75+ZPoUNr2KZqa92xpETSeUvIeNet3MHpQzzbvM7KP3HMvLbBAzBhjXMSaJk1ijcHcYHs2w/vPB0Z9bniLxpfvpaHhAI3n/oTeI8+Dz96Drv1AhOanv45/wCl4X7279e7UQynNPO0/g6NKalnQfAIHjrue4/e+xnmbfke5NALwoP8Sxn3j1xz56Mm82TCA8z1LW+3rL00T6C/bWdR8NF+69ecM6pVEs93+HTD9CF5vPp4zgulCAPwqzL6ohiurByIlbUtnUf/kJCrem9li2Sz/aUy481k6lwLqh9IOsZ/sZO9n8IthAGzSPpSNuJDup34ZryhUndCmchYqa5o0xhSzvM01mS32QeYCzf5AALenFta+hnbuw+63HqFyxzsANImXUo2YIqmsCqq/QeW2xXg+fIFlHM1YVvP7yh8w6bQBfPLKnxjWUBPzUPu1A4s8J6ATH+TIXuUM6ts7dlPjJ6/Dwxfzp/Kv8LWGv7RYtYdObJXeNHauYuGQb/HVC04NrKhIbsDBvt+cygfbD3JCyUctD9nvYg5v+JDS+s9o/PZyOnVJYT7Otf+ERy6NvW7q7tjLU7FxMfQ6CsrTGPzQ1BhI0ZImC8SMMcXM+oiZwlPigcoBgdvAcQhQWf0VaG6Ghl2UVvSAjW/TuOFtPD2PpPfwCYHnNO6nbvZtHLNmLgu6Xs4VN30Pb/fODKu+EXathxIP+397Gp2adoUP1UkOcnbzWzD7ePwqvFN6PBVlHvod+Ijdnu7s6DSMisOOoP+m51Et5+CQc+C9QCC2vccJ9Nr5Dl3ZT1fdD3vX0XP5Kvwr9rHd2xf96j/os/Ut5MizkU49A7VUe7dA7+HgLQ8UYP8OOu18j1f9V7QKxIZsfi58f8Zf/5f/+I/JgfNMxuZlANRqT6pkR4tVy96Yz5gxJyYdKKIamJKqY2VgBGYwKG2q6EPpLTXQuB8qekEqNYJb3oUZZ8JlD8DxVyf/PGOMMVYjZorczrVQUorWvsP+TlUc/PBfbPnwHRrLujO49jn2SGcavV0p8zfQ1beNHrKXzdqDu723cM93JtH08k94q/wsrrzwPDbu2M+b767mmtfOaXWYJjyU4menVOLrOojeu1dQQjP1nq7UD72Y7lXD8Gx5B957lhvL7ueRxlvjFvugpxOM/TIdjjwdPF448pxADrLy7i2bLlXR/7ucdWvfpyd76Mq+VvtqFg9y1V+Rug1w8s2HUlw0NQYS1/Y88tDGr/0cXv1p4DjfWw5/nwLL/wZAXd/xVG55A866MxCI1W2EL9wfqM3s1j9cHpb+FVY8DZf8BioHwf+eCtvXwICT4YJpge1CTab1OwPn16FLUm+n1YgZY4qZNU0aE0djUzPramtpkM4MPbyL42hL3fkJ/vKeNG1dw2Y5jIOLH8H30WvU6FBGNdbQrWk7i5qPQSq60+fAOs4sCdRY+Snhb01ns+usaVw3phcPv7meK4/pyLqn7+SdPd04seR9NmsvzvG8Qy/Z0/KYCELgb9Ff3hPPkWdCSSlsXQ2fvstvmiZyZv9Sjv/06cQn2m0gnDwJVj8PGxfCwFPhqr/Cy3cFEgQH7R39dbrUPMSs5jO5ouSfsfd16nfhzd/AsM/D1Y/AgnvgzeCgjGEXBGrAnv4qW+jFYeykhObAum/+KzAqd+534PM/gxO/nrjcWCBmjCluFogZk2WqyvJNu+nasZQjendmd72PV1dtZMOnW9mws56hgwfx1dOGtJi7cu8BH3X1PiorvDQ3w54DPrauW0XNnPvZ7K+kr+xkdMnHVHCQmuYjGSifMdbzEVriZYe3Ly83juB+vZYXv3saE37+AtUdN9OxcSc9yktoONDAf5U+RicOsEEPY2hJ7aGylnip1zI66f7wsjXdz+SyLTfyeNm9jCpZS1NJB6rrf8M7HW+mBGVR89GcXPJ+7HM/bATy2Srqex7H7H3HccPBJwCoqxjCzXXX80TZvYe2lVKkrBN0q4Ir/wJ9jk7q9c11ICYiVwFTgWOAk1Q15geOiFwA/BrwEJi+bVqifdvnV0tzltUyff4aNtc10K+ynMkThjNxTFW+i2VMRlkgZkwRafI3U9fgY+ueg3T0ljB3+WZ6de7A2m37WbR2O/sO+NjX2MyRfTpz23nDGHdET3bub6RbuZf5qz6lenB3/rZoA/V1nzF7yUaO7tsZ/2fvs7J5CJd5/sUbzcexuXQgY5vf5YLy91nVYRSP7ziKa08cwKCyvcii/+XN5mM5OOgsrjn8U+oWP8Evm67ku6XPMNd/Cl2kgc+XvM1f/BfwM+8Mqks+ZMuQyznrwyvwNzUxp+xHHFO6hcuaf0b54cP5+papdGney0vNY/mx9/9o7jaQ28t/xKXnns2pR/VK6jXJQyB2DNAMPAj8Z6xATEQ8wAfAecAmYDFwnaq+F2/f9vl1yJxltdw+ewUNPn94WbnXw32Xj7RgzLiKddY3poiUekro1bkDvToH+oTdcu6whM/p0SkwMvHCkX3Dz/H5j+Kq0/dzVJ/OLFw7nsO7deTvK8cwblcD3ztnKJ9sP5EfznqXkhLhgRuGc8Fxfdm1v5EJ7zaw72ATT37hWHp0Gs2Zb3fk+vEDeX59X1Zu2s31Jw3kx4tG0L3Cy91dp/PJp9upX92R46q68NCNJ3L1HzpSt7sOn7cr/7hqFJOfnMri9TtQhDXan0b/0SxZ7+X8iC/fQqOqq4FEiXxPAj5S1bXBbZ8ALgXiBmLmkOnz17QIwgAafH6mz19jgZhp9ywQM6bIeT0lDD0s0Bn+lCMDiWO/deZR4fV9unbkn5PPavGc7p3KWPCfZ1J/sIk+XQPJdN+dej5eTwm76hvZtKuBUf27cfbRfRjYo4Luncr47xdW063cy+QJw6koK2XaVScw7R/v8/XTj2BQz07c8YVjuXPOSu65dAS3zOzEhh31/OiiYznnmMNy9EpkTRWwMeLxJuDkWBuKyCRgEsDAgQOzX7Iisbku9ryrTsuNaU8sEDOmnercoZTOHQ59BISmnYqspYsMon559egWzz/1qF7M/fZp4cejBlTy3HcCj+ffcgZ7Dvjo06VjtoqfNBF5GTg8xqo7VPXZZHYRY1nMPh2qOgOYAYGmyaQL6XL9KsupjRF09assz0NpjCksFogZYzKuo9eT0nyi2aSq6c4JtQkYEPG4P7A5zX22K5MnDI/ZR2zyhOF5LJUxhcECMWOMiW8xMFREhgC1wLXAF/NbpOIS6gdmoyaNac0CMWNMuyUilwG/BXoD80SkRlUniEg/AmkqLlTVJhH5NjCfQPqKP6vqqjwWuyhNHFNlgZcxMVggZoxpt1T1GeCZGMs3AxdGPH4BeCGHRTPGtBMpTChnjDHGGGMyyQIxY4wxxpg8sUDMGGOMMSZPLBAzxhhjjMkTC8SMMcYYY/LEAjFjjDHGmDyxQMwYY4wxJk9EtXCnQxORbcD6JDfvBWzPYnGypVjLDcVbdit37iVb9kGq2jvbhcmFFD+/sq2Yr5143Hpe4N5zc+t5QeDcOqX6GVbQgVgqRGSJqlbnuxypKtZyQ/GW3cqde8Vcdjdw6+vv1vMC956bW88L2n5u1jRpjDHGGJMnFogZY4wxxuSJmwKxGfkuQBsVa7mheMtu5c69Yi67G7j19XfreYF7z82t5wVtPDfX9BEzxhhjjCk2bqoRM8YYY4wpKq4IxETkAhFZIyIficiUfJcnkoj8WUS2isjKiGU9ROQlEfkw+H/3iHW3B89jjYhMyE+pQUQGiMirIrJaRFaJyPeKoewi0lFE3haR5cFy310M5Y4oi0dElonI88HHxVLudSKyQkRqRGRJcFlRlN2N4r32MbZtcc0VsmTOy+mzqxAl+u6SgN8E178rIifko5xtkcS5XR88p3dF5E0RGZWPcqYq2XhDRE4UEb+IXJlwp6pa1DfAA3wMHAGUAcuBY/NdrojynQGcAKyMWPZzYErw/hTgZ8H7xwbL3wEYEjwvT57K3Rc4IXi/C/BBsHwFXXZAgM7B+15gETCu0MsdUf7bgL8BzxfLtRIszzqgV9Syoii7G29Or30y11wh35I5L6fPrnyXPUY5E353ARcCfw9+ro0DFuW73Bk8t1OB7sH7ny+Gc0vmvCK2WwC8AFyZaL9uqBE7CfhIVdeqaiPwBHBpnssUpqqvAzujFl8KPBy8/zAwMWL5E6p6UFU/AT4icH45p6pbVPWd4P29wGqgigIvuwbsCz70Bm9KgZcbQET6AxcBD0UsLvhyx1HMZS92Tq99Cw7XXCFLeF5xPrsKTTLfXZcCjwQ/1xYClSLSN9cFbYOE56aqb6rqruDDhUD/HJexLZKNN74DzAK2JrNTNwRiVcDGiMebKMw/ukiHqeoWCHxoAH2CywvyXERkMDCGQO1SwZc92NRSQ+CP4CVVLYpyA78CfgA0RywrhnJDINh9UUSWisik4LJiKbsbOb320X5F62uukCV7XkCrz65Ck8zfQbH+raRa7q8RqPkrdAnPS0SqgMuAB5LdaWlGipZfEmNZsQ4FLbhzEZHOBCL7W1R1j0isIgY2jbEsL2VXVT8wWkQqgWdE5Lg4mxdEuUXkC8BWVV0qImcm85QYy/J5rYxX1c0i0gd4SUTej7NtoZW9KInIy8DhMVbdkeTzU73mciLd84rYT4vPrkyULcOS+Tso1r+VpMstImcRCMROy2qJMiOZ8/oV8ENV9cf5vmzBDYHYJmBAxOP+wOY8lSVZn4lIX1XdEqxmDlVfFtS5iIiXwAfZY6o6O7i4KMoOoKp1IvJP4AIKv9zjgUtE5EKgI9BVRB6l8MsNgKpuDv6/VUSeIVCFXxRlL1aqeq7TOhFxeu0jxbzmVPWGLBU5KRk4L6fPrkKTzN9Bsf6tJFVuETmeQLP451V1R47Klo5kzqsaeCIYhPUCLhSRJlWd47RTNzRNLgaGisgQESkDrgXm5rlMicwFbgrevwl4NmL5tSLSQUSGAEOBt/NQPiRwFf0JWK2qv4xYVdBlF5HewZowRKQcOBd4nwIvt6rerqr9VXUwgWt4QfALsaDLDSAinUSkS+g+cD6wkiIou4s5vfZhca65QpbwvOJ8dhWaZL675gI3BkdPjgN2h5pmC1zCcxORgcBs4Euq+kEeytgWCc9LVYeo6uDg39XTwLfiBWGhJxX9jcDIkg8IjGa4I9/liSrb48AWwEcgmv4a0BN4Bfgw+H+PiO3vCJ7HGgK/EvJV7tMIVLm+C9QEbxcWetmB44FlwXKvBH4cXF7Q5Y46hzM5NGqy4MtNYATR8uBtVehvsBjK7tab02sP9ANeiHfNFfItmfNy+uzKd9kdzqfVdxdwM3Bz8L4Avw+uXwFU57vMGTy3h4BdEe/RknyXORPnFbXtX0li1KRl1jfGGGOMyRM3NE0aY4wxxhQlC8SMMcYYY/LEAjFjjDHGmDyxQMwYY4wxJk8sEDPGGGOMyRMLxIwxxrQrIuIXkRoRWSkiT4lIRRr7+quIXBm8/5CIHBtn2zNF5NSIxzeLyI1tPbZxBwvEjDHGtDcNqjpaVY8DGgnkgQoTEU9bdqqqX1fV9+JsciYQDsRU9QFVfaQtxzLuYYGYMcaY9uxfwFHB2qpXReRvwAoR8YjIdBFZLCLvisg3IZC5X0R+JyLvicg8IiYeF5F/ikh18P4FIvKOiCwXkVeCE5DfDNwarI07XUSmish/BrcfLSILg8d6RkS6R+zzZyLytoh8ICKn5/blMdnmhrkmjTHGmJSJSCnweeAfwUUnAcep6iciMonAlEInikgH4A0ReREYAwwHRgKHAe8Bf47ab2/gj8AZwX31UNWdIvIAsE9V/ye43TkRT3sE+I6qviYi9wB3AbcE15Wq6knBeUHvIjB1m3EJC8SMMca0N+UiUhO8/y8Cc1OeCrytqp8El58PHB/q/wV0IzAv6hnA46rqBzaLyIIY+x8HvB7al6rujFcYEekGVKrqa8FFDwNPRWwSmrh8KTA4qTM0RcMCMWOMMe1Ng6qOjlwQmCuc/ZGLCNRQzY/a7kICc1nGI0lsk4qDwf/92Pe261gfMWOMMaa1+cD/ExEvgIgME5FOwOvAtcE+ZH2Bs2I89y3gcyIyJPjcHsHle4Eu0Rur6m5gV0T/ry8Br0VvZ9zJImtjjDGmtYcINAO+I4Hqsm3AROAZ4GxgBfABMQImVd0W7GM2W0RKgK3AecBzwNMicinwnain3QQ8EEylsRb4ShbOyRQgUc1k7akxxhhjjEmWNU0aY4wxxuSJBWLGGGOMMXligZgxxhhjTJ5YIGaMMcYYkycWiBljjDHG5IkFYsYYY4wxeWKBmDHGGGNMnlggZowxxhiTJ/8fO+9YjaXmhsgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.05\n",
      "Deleting previous model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:170: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  slope = ssxym / ssxm\n",
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:187: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  slope_stderr = np.sqrt((1 - r**2) * ssym / ssxm / df)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 0, train_loss: 0.0415, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 100, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 200, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 300, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 400, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n"
     ]
    },
    {
     "data": {
      "image/png": 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Jo6wTyVY5ZkvS7B0O3FRVN1fVvcAHgZX9DarqP6rq+83q5cABCxyjpBHWiWRLkoawP3BL3/qGZttkXgb826AdSVYlWZtk7ZYtW+YwREmjrBPJ1oOVLUtbkrbdoHeOgdP3Jfl1esnWGwftr6rVVTVWVWN77bXXHIYoaZQtXewAJGmRbQAO7Fs/ANg0sVGSxwNnA8dX1e0LFJukDuhGZat5jqO2JG27LwPLkxycZEfgRODC/gZJlgHnAS+pqq8vQoySRpiVLUnbtaq6L8mrgIuAJcB7qmpdklc0+88C/gx4BPDOZoqZ+6pqbLFiljRaOpFsVY3Ps7XIgUgaSVW1BlgzYdtZfcsvB16+0HFJ6oZOXEaUJElqK5MtSZKkedSJZGvgPdqSJEkt0Ilka5xjtiRJUtt0ItkqS1uSJKmlhkq2kuyR5OIkNzbPu0/RdkmSq5N8cpg+p4zHebYkSVLLDFvZOhW4tKqWA5c265N5DbB+yP4mYWlLkiS107DJ1krgnGb5HOCEQY2SHAA8i95XXcwbx2xJkqS2GTbZ2qeqNgM0z3tP0u5twBuAB4bsbyDHbEmSpLaadgb5JJcAjxyw6/SZdJDk2cBtVXVlkqNm0H4VsApg2bJlM+mi79htai5JkjTvpk22quqYyfYluTXJvlW1Ocm+wG0Dmh0JPCfJCuChwK5J3ldVL56kv9XAaoCxsbEZ1awsbEmSpLYa9jLihcDJzfLJwAUTG1TVaVV1QFUdBJwIfHayRGtY3o0oSZLaZthk6wzg2CQ3Asc26yTZL8maKY+cQ47ZkiRJbTXtZcSpVNXtwNEDtm8CVgzYfhlw2TB9TsUxW5IkqW26MYO8o7YkSVJLdSLZkiRJaqtOJFvjY7a8iihJktqmE8mWJElSW3Ui2RofseUAeUmS1DadSLYkSZLaqhPJVj040ZalLUmS1C6dSLYkSZLaqlPJlmO2JM1GkuOS3JDkpiSnDtifJP/Y7L82yZMWI05Jo6lTyZYkbaskS4B3AMcDhwInJTl0QrPjgeXNYxXwrgUNUtJI60Sy5TxbkoZwOHBTVd1cVfcCHwRWTmizEnhv9VwO7JZk34UOVNJo6kSyJUlD2B+4pW99Q7NtW9tI0kCdSrbioC1J227QG8fEL1ydSRuSrEqyNsnaLVu2zElwkkZfJ5Itv4ha0hA2AAf2rR8AbJpFG6pqdVWNVdXYXnvtNeeBShpNnUi2xlnXkjQLXwaWJzk4yY7AicCFE9pcCLy0uSvxCODOqtq80IFKGk1LFzuAuVAWtiTNUlXdl+RVwEXAEuA9VbUuySua/WcBa4AVwE3Aj4DfWax4JY2eTiRb4xyyJWk2qmoNvYSqf9tZfcsFvHKh45LUDZ24jGhlS5IktVUnkq1xcdSWJElqmU4kWxa2JElSW3Ui2RrnmC1JktQ2nUi2ykFbkiSppTqRbEmSJLVVJ5It61qSJKmtOpFsjXPMliRJaptuJFuWtiRJUksNlWwl2SPJxUlubJ53n6Tdbkk+muRrSdYneeow/U4Rz3ycVpIkadaGrWydClxaVcuBS5v1Qf4B+HRV/RLwBGD9kP1upSxtSZKklho22VoJnNMsnwOcMLFBkl2BpwPvBqiqe6vqjiH7lSRJGgnDJlv7VNVmgOZ57wFtHgVsAf4lydVJzk7ysCH73cr4NFteRJQkSW0zbbKV5JIk1w94rJxhH0uBJwHvqqonAncz+eVGkqxKsjbJ2i1btsywC0mSpHZaOl2Dqjpmsn1Jbk2yb1VtTrIvcNuAZhuADVV1RbP+UaZItqpqNbAaYGxsbEaDscYbOT5ekiS1zbCXES8ETm6WTwYumNigqr4D3JLkkGbT0cBXh+xXkiRpJAybbJ0BHJvkRuDYZp0k+yVZ09fu1cC5Sa4FDgP+dsh+t/LTMVuWtiRJUrtMexlxKlV1O71K1cTtm4AVfevXAGPD9CVJkjSKOjGD/Pg8W47ZkiRJbdOJZEtSt6XnxUn+rFlfluTwxY5LkmaiU8mWhS2ps94JPBU4qVm/C3jH4oUjSTM31Jittii/rUfquqdU1ZOSXA1QVd9PsuNiByVJM9GpypalLamzfpJkCc20ekn2Ah4Y9qRJ9khycZIbm+fdB7Q5MMnnkqxPsi7Ja4btV9L2pRPJloUtqfP+ETgf2DvJ3wBfZG6mkDkVuLSqlgOXMnjC5fuA11XVY4AjgFcmOXQO+pa0nejEZcRxzrMldVNVnZvkSnpTzQQ4oarWz8GpVwJHNcvnAJcBb5zQ92Zg/Dtg70qyHtgfJ2eWNEPdSLYctCV1WpJlwI+AT/Rvq6pvD3nqfZpkiuZrx/aeJo6DgCcCV0zVTpL6dSPZajjPltRZn6I3YiDAQ4GDgRuAx053YJJLgEcO2HX6tgSQ5OHAx4BTquoHk7RZBawCWLZs2bacXlKHdSLZsq4ldVtV/XL/epInAb83w2OPmWxfkluT7NtUtfYFbpuk3Q70Eq1zq+q8KfpaDawGGBsb861JEtCRAfLjLGxJ24equgp48hyc6kLg5Gb5ZOCCiQ2SBHg3sL6q3joHfUraznSjsuXnR6nTkvxR3+rPAU8CtszBqc8APpzkZcC3gec3/e0HnF1VK4AjgZcA1yW5pjnuT6pqzRz0L2k70Ilka1wctCV11S59y/fRG8P1sWFPWlW307vDceL2TcCKZvmLWDiXNIROJFtlaUvqrGYy04dX1esXOxZJmg3HbElqrSRLq+p+epcNJWkkdaOytdgBSJovX6KXaF2T5ELgI8Dd4zunujNQktqiE8nWOIdsSZ21B3A78Ax+Ot9WASZbklqvE8mWQ7akztq7uRPxen6aZI3zN1/SSOhEsjXO70aUOmcJ8HAGD8k02ZI0EjqRbPmOK3XW5qr6y8UOQpKG0am7ESV1juVqSSOvE8nWg/Ns+bYsdc3PTDgqSaOmE8mWpG6qqu8tdgySNKxOJVtO/SBJktqmU8mWJElS23Qi2XLIliRJaqtOJFuSJEltNVSylWSPJBcnubF53n2Sdq9Nsi7J9Uk+kOShw/Q7UTUzbcVBW5IkqWWGrWydClxaVcuBS5v1rSTZH/hDYKyqHkdvRugTh+xXkiRpJAybbK0EzmmWzwFOmKTdUmCnJEuBnYFNQ/Y7kHUtSZLUNsMmW/tU1WaA5nnviQ2qaiPwFuDbwGbgzqr6zJD9TuhjLs8mSZI0d6ZNtpJc0oy1mvhYOZMOmnFcK4GDgf2AhyV58RTtVyVZm2Ttli1bZvo6mmO3qbkkSdK8m/aLqKvqmMn2Jbk1yb5VtTnJvsBtA5odA3yjqrY0x5wHPA143yT9rQZWA4yNjc2oZmVhS5IktdWwlxEvBE5ulk8GLhjQ5tvAEUl2Tu92waOB9UP2O1ActSVJklpm2GTrDODYJDcCxzbrJNkvyRqAqroC+ChwFXBd0+fqIfvdimO2JElSW017GXEqVXU7vUrVxO2bgBV9628C3jRMXzPhmC1JktQ2nZhBvhy1JWkWZjoxc9N2SZKrk3xyIWOUNPo6kWxJ0ixNOzFzn9cwT+NNJXVbJ5Itx2xJmqUZTcyc5ADgWcDZCxOWpC7pRLI1zjFbkrbRtBMzN94GvAF4YKqTDTNPoKTuGmqAvCS1XZJLgEcO2HX6DI9/NnBbVV2Z5Kip2s5mnkBJ3depZMt5tiRNNAcTMx8JPCfJCuChwK5J3ldVk34ThiT168RlxHLQlqTZmXZi5qo6raoOqKqDgBOBz5poSdoWnUi2xjlmS9I2mnZiZkkaVicuI1rYkjQbM52YuW/7ZcBl8x6YpE7pVmVrsQOQJEmaoBPJloUtSdJi+uYZz9qm7dq+dCLZGhcHbUmSFsFBp35qm7Zr+9KJZMsxW5Ikqa06kWxJkiS1VSeSrWpGbXkRUZIktU0nki1JkqS26kSyNT5my/HxkqTF4N2ImkonJjWVJGmxmVhpMp1Ktpz6QZK0WAZN82ACJujKZcTFDkCStF1zni1NpRPJliRJUlt1I9lyVlNJktRS3Ui28E5ESZLUTp1ItqxrSZKktupEsgXOHi9JWjzOs6WpdCLZcsiWJGkxeTeipjJUspXk+UnWJXkgydgU7Y5LckOSm5KcOkyfU/QxH6eVJEkayrCVreuB5wFfmKxBkiXAO4DjgUOBk5IcOmS/WylHbUmSpJYaagb5qloP01aVDgduqqqbm7YfBFYCXx2m74msa0mSpDZaiDFb+wO39K1vaLbNGcdsSZKktpq2spXkEuCRA3adXlUXzKCPQUWnSdOjJKuAVQDLli2bwenHj5txU0mSpAUzbbJVVccM2ccG4MC+9QOATVP0txpYDTA2NjajmpWFLUmzkWQP4EPAQcA3gRdU1fcHtNsNOBt4HL23nN+tqv9csEAljbSFuIz4ZWB5koOT7AicCFw4153EUVuStt2pwKVVtRy4tFkf5B+AT1fVLwFPANYvUHySOmDYqR+em2QD8FTgU0kuarbvl2QNQFXdB7wKuIjeG9SHq2rdcGFvzTFbkmZpJXBOs3wOcMLEBkl2BZ4OvBugqu6tqjsWKD5JHTDs3YjnA+cP2L4JWNG3vgZYM0xf07KwJWnb7VNVmwGqanOSvQe0eRSwBfiXJE8ArgReU1V3L2CcarklCfcP+OS/xAHFoiszyDtqS9IkklyS5PoBj5UzPMVS4EnAu6rqicDdTHK5McmqJGuTrN2yZcscvQKNgpOecuA2bdf2ZajKVpv42UHSIFPd5JPk1iT7NlWtfYHbBjTbAGyoqiua9Y8ySbI1mxt81A1/fcIvA/CBK27h/iqWJJz0lAMf3K7tWzeSLd/SJM3OhcDJwBnN889MZ1NV30lyS5JDquoG4GjmeFJmdcNfn/DLJlcaqBOXEcF5tiTNyhnAsUluBI5t1re6yafxauDcJNcChwF/u9CBShpdnahsWdiSNBtVdTu9StXE7RNv8rkGGFu4yCR1SWcqW5IkSW3UiWSrqpzUVJIktVInki1JkqS26kyy5QB5SZLURp1Itvy6HkmS1FadSLbASU0lSVI7dSLZsrAlSZLaqhPJFkActCVJklqoE8mWY7YkSVJbdSLZAsdsSZKkdupEslWO2pIkSS3ViWQLsLQlSZJaqRPJlmO2JElSW3Ui2QILW5IkqZ06k2xJkiS1UWeSLefZkiRJbdSJZKsctCVJklqqE8kWgIUtSZLURp1ItqxrSZKktupEsgXejShJktqpE8mWQ7YkSVJbDZVsJXl+knVJHkgyNkmbA5N8Lsn6pu1rhulziljm47SSJElDGbaydT3wPOALU7S5D3hdVT0GOAJ4ZZJDh+x3K343oqTZSLJHkouT3Ng87z5Ju9c2HxavT/KBJA9d6Fglja6hkq2qWl9VN0zTZnNVXdUs3wWsB/Yfpt9BrGtJmoVTgUurajlwabO+lST7A38IjFXV44AlwIkLGqWkkbagY7aSHAQ8EbhiLs/rmC1Js7QSOKdZPgc4YZJ2S4GdkiwFdgY2zX9okrpi6XQNklwCPHLArtOr6oKZdpTk4cDHgFOq6gdTtFsFrAJYtmzZTE/vPFuSZmOfqtoMvSp8kr0nNqiqjUneAnwbuAf4TFV9ZoHjlDTCpk22quqYYTtJsgO9ROvcqjpvmv5WA6sBxsbGZlSzsrAlaTJTfWCc4fG706uAHQzcAXwkyYur6n0D2s7qw6Kkbps22RpWercJvhtYX1Vvne/+JKnfVB8Yk9yaZN+mqrUvcNuAZscA36iqLc0x5wFPA34m2ZrNh0VJ3Tfs1A/PTbIBeCrwqSQXNdv3S7KmaXYk8BLgGUmuaR4rhop6cDRzf0pJXXchcHKzfDIwaGjEt4EjkuzcfHg8mt6NPpI0I0NVtqrqfOD8Ads3ASua5S8yz5mQA+QlzdIZwIeTvIxeUvV86H1gBM6uqhVVdUWSjwJX0ZvK5mqa6pUkzcS8X0ZcKA6Ql7Stqup2epWqidsf/MDYrL8JeNMChiapQzrxdT0OkZckSW3VkWTLEVuSJKmdOpFsOWZLkiS1VSeSLXDMliRJaqdOJFtWtiRJUlt1ItkCiKO2JElSC3Ui2SrvRpQkSS3ViWQLHLMlSZLaqRPJlmO2JElSW3Ui2QLn2ZIkSe3UiWTLwpYkSWqrTiRbAHHQliRJaqFOJFuO2ZIkSW3ViWRLkiSprTqRbDnPliRJaqtOJFvgPFuSJKmdupFsWdiSJEkt1Y1kCytbkiSpnTqRbFnYkiRJbdWJZAsgziEvSZJaqBPJVjnRliRJaqlOJFvgmC1JktROnUm2JEmS2qgTyZYXESXNRpLnJ1mX5IEkY1O0Oy7JDUluSnLqQsao0fHxqzdy5Bmf5eBTP8WRZ3yWj1+9cbFDUkt0ItkCHB4vaTauB54HfGGyBkmWAO8AjgcOBU5KcujChKdR8fGrN3Laedex8Y57KGDjHfdw2nnXmXAJ6Eiy5fh4SbNRVeur6oZpmh0O3FRVN1fVvcAHgZXzH51GyZkX3cA9P7l/q233/OR+zrxouh8vbQ+GSrZmWoJv2i5JcnWSTw7T5xTnn4/TStL+wC196xuabT8jyaoka5Os3bJly4IEp3bYdMc927Rd25elQx4/XoL/pxm0fQ2wHth1yD5/xuufecjPfKKQJIAklwCPHLDr9Kq6YCanGLBtYD29qlYDqwHGxsasuW9H9tttJzYOSKz2222nRYhGbTNUslVV62H6qlKSA4BnAX8D/NEwfQ5y4B47z/UpJXVEVR0z5Ck2AAf2rR8AbBrynOqY1z/zEE4777qtPvjvtMMSXv/MQxYxKrXFsJWtmXob8AZglwXqT5LmypeB5UkOBjYCJwIvXNyQ1DYnPLF3ZfnMi25g0x33sN9uO/H6Zx7y4HZt36ZNtoYtwSd5NnBbVV2Z5KgZtF8FrAJYtmzZdM0ladaSPBf4P8BewKeSXFNVz0yyH3B2Va2oqvuSvAq4CFgCvKeq1i1i2GqpE564v8mVBpo22ZqDEvyRwHOSrAAeCuya5H1V9eJJ+nPMg6QFUVXnA+cP2L4JWNG3vgZYs4ChSeqQeZ/6oapOq6oDquogeuX3z06WaEmSJHXNsFM/PDfJBuCp9ErwFzXb90vip0BJkrTdG/ZuxBmV4Pu2XwZcNkyfkiRJo6QTM8hLkiS1lcmWJEnSPDLZkiRJmkcmW5IkSfMoVe2dyirJFuBbM2y+J/DdeQxnvoxq3DC6sY9q3DC6sc807l+oqr3mO5iFsI3vX/Ot6z83bWPcC6tNcQ98D2t1srUtkqytqrHFjmNbjWrcMLqxj2rcMLqxj2rcXTGq//7GvbCMe/54GVGSJGkemWxJkiTNoy4lW6sXO4BZGtW4YXRjH9W4YXRjH9W4u2JU//2Ne2EZ9zzpzJgtSZKkNupSZUuSJKl1OpFsJTkuyQ1Jbkpy6mLH0y/Je5LcluT6vm17JLk4yY3N8+59+05rXscNSZ65OFFDkgOTfC7J+iTrkrxmFGJP8tAkX0rylSbuvxiFuPslWZLk6iSfbNZbH3uSbya5Lsk1SdaOStxdkeT5zc/7A0kmvStruvfKJH+cpJLsOb8RP9jfUHEnOTPJ15Jcm+T8JLuNSNyT/m7Mt5n2neQ1Sa5vXucpfdsPS3L5+O96ksNHIe5m36ub/491Sf5uIeJ+UFWN9ANYAvwX8ChgR+ArwKGLHVdffE8HngRc37ft74BTm+VTgTc3y4c28T8EOLh5XUsWKe59gSc1y7sAX2/ia3XsQICHN8s7AFcAR7Q97gmv4Y+A9wOfHKGfl28Ce07Y1vq4u/IAHgMcAlwGjE3SZsr3SuBA4CJ6c4PtOQpxA78BLG2W3zz+MzYCcQ/83Vig2KftG3gccD2wM7AUuARY3uz7DHB8s7wCuGxE4v71Zv0hzfreC/VvXlWdqGwdDtxUVTdX1b3AB4GVixzTg6rqC8D3JmxeCZzTLJ8DnNC3/YNV9eOq+gZwE73Xt+CqanNVXdUs3wWsB/an5bFXzw+b1R2aR9HyuMclOQB4FnB23+aRiH2AUY175FTV+qq6YZpm071X/j3wBnq/Lwti2Lir6jNVdV/T7nLggPmL9qfm4N97st+NhTCTvh8DXF5VP2r+fT8PPLfZV8CuzfLPA5vmL9StDBv37wNnVNWPAarqtvkNd2tdSLb2B27pW9/QbGuzfapqM/SSGmDvZnsrX0uSg4An0qsStT725jLcNcBtwMVVNRJxN95G7w/eA33bRiH2Aj6T5Mokq5ptoxD39mTSf/ckzwE2VtVXFiOwacz05+V3gX9bkIhmZqq4J/vdWAgz6ft64OlJHpFkZ3oVrAObfacAZya5BXgLcNr8hwwMH/ejgV9NckWSzyd58oJE3Vi6kJ3NkwzYNqq3WLbutSR5OPAx4JSq+kEyKMRe0wHbFiX2qrofOKwZv3F+ksdN0bw1cSd5NnBbVV2Z5KiZHDJg22L9vBxZVZuS7A1cnORrU7RtU9wjI8klwCMH7Dq9qi6YySkGbKvmj9Lp9C7Jzbn5intCH6cD9wHnbnuEk3S6AHHPl6lin8nxVbU+yZuBi4Ef0rsEOl5B/H3gtVX1sSQvAN4NHDN81PMe91Jgd3rDSp4MfDjJo6q5pjjfupBsbeCnmSv0ysgLVdacrVuT7FtVm5PsS68CAy17LUl2oJdonVtV5zWbRyJ2gKq6I8llwHGMRtxHAs9JsgJ4KLBrkvcxArFX1abm+bYk59O7hNL6uEdJVQ37B22yf/dfpDd27ivNh6kDgKuSHF5V3xmyz/mMG4AkJwPPBo6eyz+c8xz3ZL8bc2Kq2JPMqO+qeje9RIokf0vv9QCcDLymWf4IWw95aHPcG4Dzmp+RLyV5gN53Km6Zq/in0oXLiF8Glic5OMmOwInAhYsc03QupPcDS/N8Qd/2E5M8JMnBwHLgS4sQH+m9674bWF9Vb+3b1erYk+w1fkdSkp3ofeL6Gi2PG6CqTquqA6rqIHo/x5+tqhfT8tiTPCzJLuPL9Cok19PyuLdDA98rq+q6qtq7qg5qfvY20Ls5ZuhEa45M+h6f5DjgjcBzqupHixjjIFP9bZrsd2MhzKjvpkpNkmXA84APNLs2Ab/WLD8DuHHeIt3asHF/nF68JHk0vZsWFu7Lq+dr5P1CPuhdl/06vTs/Tl/seCbE9gFgM/ATem9iLwMeAVxK74f0UmCPvvanN6/jBpo7PhYp7l+hV/K+Frimeaxoe+zA44Grm7ivB/6s2d7quAe8jqP46d2IrY6d3t1WX2ke68Z/B9sed5ce9AYBbwB+DNwKXNRs3w9Y09du2vdKBtxZ2ta46d1ccUvfe9RZIxL3pL8bCxD7wL4HxP7vwFeb3+uj+7b/CnBls/0K4L+PSNw7Au+j93fhKuAZC/VvXlXOIC9JkjSfunAZUZIkqbVMtiRJkuaRyZYkSdI8MtmSJEmaRyZbkiRJ88hkS5K0XUlyf5Jrklyf5CPNLPqzPde/JvmtZvnsJIdO0faoJE/rW39FkpfOtm+NDpMtSdL25p6qOqyqHgfcC7yif2eSJbM5aVW9vKq+OkWTo4AHk62qOquq3jubvjRaTLYkSduzfwf+W1N1+lyS9wPXNV9of2aSLye5NsnvQe/bNZK8PclXk3yKvi9ETnJZkrFm+bgkVyX5SpJLkxxEL6l7bVNV+9Ukf57kj5v2hyW5vOnr/CS7953zzUm+lOTrSX51Yf95NBe68N2IkiRtsyRLgeOBTzebDgceV1XfSLIKuLOqnpzkIcD/TfIZ4InAIcAvA/vQm638PRPOuxfwz8DTm3PtUVXfS3IW8MOqekvT7ui+w94LvLqqPp/kL4E3Aac0+5ZW1eHN96a+iTn64mctHJMtSdL2Zqck1zTL/07ve2CfBnypqr7RbP8N4PHj47GAn6f3PZ5PBz5QVfcDm5J8dsD5jwC+MH6uqvreVMEk+Xlgt6r6fLPpHHpf8jzuvOb5SuCgGb1CtYrJliRpe3NPVR3WvyEJwN39m+hVmi6a0G4Fve+NnUpm0GZb/Lh5vh//bo8kx2xJkvSzLgJ+P8kOAEkeneRhwBeAE5sxXfsCvz7g2P8Efi3Jwc2xezTb7wJ2mdi4qu4Evt83HuslwOcnttPoMkOWJOlnnU3vkt1V6ZW9tgAnAOcDzwCuA77OgKSoqrY0Y77OS/JzwG3AscAngI8mWQm8esJhJwNnNdNQ3Az8zjy8Ji2SVM1lpVOSJEn9vIwoSZI0j0y2JEmS5pHJliRJ0jwy2ZIkSZpHJluSJEnzyGRLkiRpHplsSZIkzSOTLUmSpHn0/wF5YxUhANNkHQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 128, lr: 0.001\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0371, val_loss: 0.0364, r_value: 0.3117\n",
      "Epoch 100, train_loss: 0.0241, val_loss: 0.0239, r_value: 0.5877\n",
      "Epoch 200, train_loss: 0.0230, val_loss: 0.0231, r_value: 0.6083\n",
      "Epoch 300, train_loss: 0.0224, val_loss: 0.0228, r_value: 0.6166\n",
      "Epoch 400, train_loss: 0.0218, val_loss: 0.0224, r_value: 0.6219\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.1\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0370, val_loss: 1.0370, r_value: -0.1892\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:170: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  slope = ssxym / ssxm\n",
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:187: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  slope_stderr = np.sqrt((1 - r**2) * ssym / ssxm / df)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 100, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n",
      "Epoch 200, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n",
      "Epoch 300, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n",
      "Epoch 400, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.01\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0399, val_loss: 0.8095, r_value: 0.1103\n",
      "Epoch 100, train_loss: 0.0244, val_loss: 0.0242, r_value: 0.5838\n",
      "Epoch 200, train_loss: 0.0239, val_loss: 0.0235, r_value: 0.5981\n",
      "Epoch 300, train_loss: 0.0232, val_loss: 0.0235, r_value: 0.6064\n",
      "Epoch 400, train_loss: 0.0226, val_loss: 0.0231, r_value: 0.6115\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.05\n",
      "Deleting previous model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:170: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  slope = ssxym / ssxm\n",
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:187: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  slope_stderr = np.sqrt((1 - r**2) * ssym / ssxm / df)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 0, train_loss: 0.0370, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 100, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 200, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 300, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 400, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 256, lr: 0.001\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0372, val_loss: 0.0371, r_value: 0.4011\n",
      "Epoch 100, train_loss: 0.0238, val_loss: 0.0238, r_value: 0.5994\n",
      "Epoch 200, train_loss: 0.0225, val_loss: 0.0229, r_value: 0.6171\n",
      "Epoch 300, train_loss: 0.0214, val_loss: 0.0224, r_value: 0.6265\n",
      "Epoch 400, train_loss: 0.0206, val_loss: 0.0221, r_value: 0.6294\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.1\n",
      "Deleting previous model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:170: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  slope = ssxym / ssxm\n",
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:187: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  slope_stderr = np.sqrt((1 - r**2) * ssym / ssxm / df)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 0, train_loss: 0.0370, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 100, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 200, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 300, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 400, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.01\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0399, val_loss: 1.0361, r_value: 0.1849\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:170: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  slope = ssxym / ssxm\n",
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:187: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  slope_stderr = np.sqrt((1 - r**2) * ssym / ssxm / df)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 100, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n",
      "Epoch 200, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n",
      "Epoch 300, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n",
      "Epoch 400, train_loss: 1.0372, val_loss: 1.0361, r_value: 0.0000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.05\n",
      "Deleting previous model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:170: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  slope = ssxym / ssxm\n",
      "/Users/antonio/opt/anaconda3/envs/geo_comp/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py:187: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  slope_stderr = np.sqrt((1 - r**2) * ssym / ssxm / df)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 0, train_loss: 0.0377, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 100, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 200, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 300, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n",
      "Epoch 400, train_loss: 1.0366, val_loss: 1.0370, r_value: 0.0000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "hid_dim: 512, lr: 0.001\n",
      "Deleting previous model\n",
      "Epoch 0, train_loss: 0.0368, val_loss: 0.0361, r_value: 0.4858\n",
      "Epoch 100, train_loss: 0.0243, val_loss: 0.0246, r_value: 0.5991\n",
      "Epoch 200, train_loss: 0.0221, val_loss: 0.0226, r_value: 0.6204\n",
      "Epoch 300, train_loss: 0.0212, val_loss: 0.0221, r_value: 0.6294\n",
      "Epoch 400, train_loss: 0.0199, val_loss: 0.0220, r_value: 0.6329\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Try ADAM optimizer\n",
    "epoch = 500\n",
    "hid_dim_range = [128,256,512]\n",
    "lr_range = [0.1,0.01,0.05,0.001]\n",
    "\n",
    "for hid_dim in hid_dim_range:\n",
    "    for lr in lr_range:\n",
    "        print('\\nhid_dim: {}, lr: {}'.format(hid_dim, lr))\n",
    "        if 'model' in globals():\n",
    "            print('Deleting previous model')\n",
    "            del model, criterion, optimizer\n",
    "        model = Feedforward(data.shape[1], hid_dim)\n",
    "        criterion = torch.nn.MSELoss()\n",
    "        optimizer = torch.optim.Adam(model.parameters(), lr=lr)\n",
    "\n",
    "        all_loss_train=[]\n",
    "        all_loss_val=[]\n",
    "        for epoch in range(epoch):\n",
    "            model.train()\n",
    "            optimizer.zero_grad()\n",
    "            # Forward pass\n",
    "            y_pred = model(X_train)\n",
    "            # Compute Loss\n",
    "            loss = criterion(y_pred.squeeze(), y_train)\n",
    "\n",
    "            # Backward pass\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "\n",
    "            all_loss_train.append(loss.item())\n",
    "\n",
    "            model.eval()\n",
    "            with torch.no_grad():\n",
    "                y_pred = model(X_test)\n",
    "                # Compute Loss\n",
    "                loss = criterion(y_pred.squeeze(), y_test)\n",
    "                all_loss_val.append(loss.item())\n",
    "            \n",
    "                if epoch%100==0:\n",
    "                    y_pred = y_pred.detach().numpy().squeeze()\n",
    "                    slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(y_pred, y_test)\n",
    "                    print('Epoch {}, train_loss: {:.4f}, val_loss: {:.4f}, r_value: {:.4f}'.format(epoch,all_loss_train[-1],all_loss_val[-1],r_value))\n",
    "                \n",
    "        fig,ax=plt.subplots(1,2,figsize=(10,5))\n",
    "        ax[0].plot(np.log10(all_loss_train))\n",
    "        ax[0].plot(np.log10(all_loss_val))\n",
    "\n",
    "        ax[1].scatter(y_pred, y_test)\n",
    "        ax[1].set_xlabel('Prediction')\n",
    "        ax[1].set_ylabel('True')\n",
    "        ax[1].set_title('slope: {:.4f}, r_value: {:.4f}'.format(slope, r_value))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc9270f6-4691-4662-aa44-23805068a3c7",
   "metadata": {},
   "source": [
    "ADAM seems to be quite effective for training in this setup if compared to other tests we did. Now let's see how we can add a degree of interpretability to the model. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a6b70493-6b63-4773-8075-6ba39b41ca67",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using a non-full backward hook when the forward contains multiple autograd Nodes is deprecated and will be removed in future versions. This hook will be missing some grad_input. Please use register_full_backward_hook to get the documented behavior.\n"
     ]
    }
   ],
   "source": [
    "import shap\n",
    "\n",
    "test_images= X_test[100:110]\n",
    "test_labels=y_test[100:110]\n",
    "\n",
    "explainer = shap.DeepExplainer(model, X_test)\n",
    "shap_values = explainer.shap_values(test_images)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "62dc912d-1c7d-4430-ba03-21466082e63f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test loss after Training 0.025363940745592117\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.eval()\n",
    "with torch.no_grad():\n",
    "    y_pred = model(test_images)\n",
    "    after_train = criterion(y_pred.squeeze(), test_labels) \n",
    "    print('Test loss after Training' , after_train.item())\n",
    "\n",
    "    y_pred = y_pred.detach().numpy().squeeze()\n",
    "    slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(y_pred, test_labels)\n",
    "\n",
    "    fig,ax=plt.subplots()\n",
    "    ax.scatter(y_pred, test_labels)\n",
    "    ax.set_xlabel('Prediction')\n",
    "    ax.set_ylabel('True')\n",
    "    ax.set_title('slope: {:.3f}, r_value: {:.3f}'.format(slope, r_value))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "50a3735e-2443-4641-8ed8-c32ab368ebc6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0070)\n",
      "-0.048042446\n"
     ]
    }
   ],
   "source": [
    "print(test_labels.mean())\n",
    "print(y_pred.mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "297e7a47-a853-429c-9b1e-d49ebe98c343",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(10, 20)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x684 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#SHAP global interpretation\n",
    "# The summary plot shows the most important features and the magnitude of their impact on the model. It is the global interpretation.\n",
    "\n",
    "print(shap_values.shape)\n",
    "shap.summary_plot(shap_values, plot_type = 'bar', feature_names = data.columns, max_display=21)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "3e094e0b-ac2b-43cb-89f9-63e35851557e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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n.childContextTypes?u(\"107\",this.getName()||\"ReactCompositeComponent\"):void 0;for(var i in e)i in n.childContextTypes?void 0:u(\"108\",this.getName()||\"ReactCompositeComponent\",i);return c({},t,e)}return t},_checkContextTypes:function(t,e,n){},receiveComponent:function(t,e,n){var r=this._currentElement,i=this._context;this._pendingElement=null,this.updateComponent(e,r,t,i,n)},performUpdateIfNecessary:function(t){null!=this._pendingElement?v.receiveComponent(this,this._pendingElement,t,this._context):null!==this._pendingStateQueue||this._pendingForceUpdate?this.updateComponent(t,this._currentElement,this._currentElement,this._context,this._context):this._updateBatchNumber=null},updateComponent:function(t,e,n,r,i){var o=this._instance;null==o?u(\"136\",this.getName()||\"ReactCompositeComponent\"):void 0;var a,c=!1;this._context===i?a=o.context:(a=this._processContext(i),c=!0);var s=e.props,l=n.props;e!==n&&(c=!0),c&&o.componentWillReceiveProps&&o.componentWillReceiveProps(l,a);var f=this._processPendingState(l,a),p=!0;this._pendingForceUpdate||(o.shouldComponentUpdate?p=o.shouldComponentUpdate(l,f,a):this._compositeType===_.PureClass&&(p=!m(s,l)||!m(o.state,f))),this._updateBatchNumber=null,p?(this._pendingForceUpdate=!1,this._performComponentUpdate(n,l,f,a,t,i)):(this._currentElement=n,this._context=i,o.props=l,o.state=f,o.context=a)},_processPendingState:function(t,e){var n=this._instance,r=this._pendingStateQueue,i=this._pendingReplaceState;if(this._pendingReplaceState=!1,this._pendingStateQueue=null,!r)return n.state;if(i&&1===r.length)return r[0];for(var o=c({},i?r[0]:n.state),a=i?1:0;a<r.length;a++){var u=r[a];c(o,\"function\"==typeof u?u.call(n,o,t,e):u)}return o},_performComponentUpdate:function(t,e,n,r,i,o){var a,u,c,s=this._instance,l=Boolean(s.componentDidUpdate);l&&(a=s.props,u=s.state,c=s.context),s.componentWillUpdate&&s.componentWillUpdate(e,n,r),this._currentElement=t,this._context=o,s.props=e,s.state=n,s.context=r,this._updateRenderedComponent(i,o),l&&i.getReactMountReady().enqueue(s.componentDidUpdate.bind(s,a,u,c),s)},_updateRenderedComponent:function(t,e){var n=this._renderedComponent,r=n._currentElement,i=this._renderValidatedComponent(),o=0;if(y(r,i))v.receiveComponent(n,i,t,this._processChildContext(e));else{var a=v.getHostNode(n);v.unmountComponent(n,!1);var u=d.getType(i);this._renderedNodeType=u;var c=this._instantiateReactComponent(i,u!==d.EMPTY);this._renderedComponent=c;var s=v.mountComponent(c,t,this._hostParent,this._hostContainerInfo,this._processChildContext(e),o);this._replaceNodeWithMarkup(a,s,n)}},_replaceNodeWithMarkup:function(t,e,n){l.replaceNodeWithMarkup(t,e,n)},_renderValidatedComponentWithoutOwnerOrContext:function(){var t,e=this._instance;return t=e.render()},_renderValidatedComponent:function(){var t;if(this._compositeType!==_.StatelessFunctional){f.current=this;try{t=this._renderValidatedComponentWithoutOwnerOrContext()}finally{f.current=null}}else t=this._renderValidatedComponentWithoutOwnerOrContext();return null===t||t===!1||s.isValidElement(t)?void 0:u(\"109\",this.getName()||\"ReactCompositeComponent\"),t},attachRef:function(t,e){var n=this.getPublicInstance();null==n?u(\"110\"):void 0;var r=e.getPublicInstance(),i=n.refs===g?n.refs={}:n.refs;i[t]=r},detachRef:function(t){var e=this.getPublicInstance().refs;delete e[t]},getName:function(){var t=this._currentElement.type,e=this._instance&&this._instance.constructor;return t.displayName||e&&e.displayName||t.name||e&&e.name||null},getPublicInstance:function(){var t=this._instance;return this._compositeType===_.StatelessFunctional?null:t},_instantiateReactComponent:null};t.exports=x},function(t,e,n){\"use strict\";var r=n(4),i=n(358),o=n(163),a=n(24),u=n(11),c=n(371),s=n(387),l=n(167),f=n(395);n(1);i.inject();var p={findDOMNode:s,render:o.render,unmountComponentAtNode:o.unmountComponentAtNode,version:c,unstable_batchedUpdates:u.batchedUpdates,unstable_renderSubtreeIntoContainer:f};\"undefined\"!=typeof __REACT_DEVTOOLS_GLOBAL_HOOK__&&\"function\"==typeof __REACT_DEVTOOLS_GLOBAL_HOOK__.inject&&__REACT_DEVTOOLS_GLOBAL_HOOK__.inject({ComponentTree:{getClosestInstanceFromNode:r.getClosestInstanceFromNode,getNodeFromInstance:function(t){return t._renderedComponent&&(t=l(t)),t?r.getNodeFromInstance(t):null}},Mount:o,Reconciler:a});t.exports=p},function(t,e,n){\"use strict\";function r(t){if(t){var e=t._currentElement._owner||null;if(e){var n=e.getName();if(n)return\" This DOM node was rendered by `\"+n+\"`.\"}}return\"\"}function i(t,e){e&&(G[t._tag]&&(null!=e.children||null!=e.dangerouslySetInnerHTML?v(\"137\",t._tag,t._currentElement._owner?\" Check the render method of \"+t._currentElement._owner.getName()+\".\":\"\"):void 0),null!=e.dangerouslySetInnerHTML&&(null!=e.children?v(\"60\"):void 0,\"object\"==typeof e.dangerouslySetInnerHTML&&V in e.dangerouslySetInnerHTML?void 0:v(\"61\")),null!=e.style&&\"object\"!=typeof e.style?v(\"62\",r(t)):void 0)}function o(t,e,n,r){if(!(r instanceof I)){var i=t._hostContainerInfo,o=i._node&&i._node.nodeType===H,u=o?i._node:i._ownerDocument;F(e,u),r.getReactMountReady().enqueue(a,{inst:t,registrationName:e,listener:n})}}function a(){var t=this;C.putListener(t.inst,t.registrationName,t.listener)}function u(){var t=this;S.postMountWrapper(t)}function c(){var t=this;A.postMountWrapper(t)}function s(){var t=this;P.postMountWrapper(t)}function l(){var t=this;t._rootNodeID?void 0:v(\"63\");var e=U(t);switch(e?void 0:v(\"64\"),t._tag){case\"iframe\":case\"object\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topLoad\",\"load\",e)];break;case\"video\":case\"audio\":t._wrapperState.listeners=[];for(var n in q)q.hasOwnProperty(n)&&t._wrapperState.listeners.push(k.trapBubbledEvent(n,q[n],e));break;case\"source\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topError\",\"error\",e)];break;case\"img\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topError\",\"error\",e),k.trapBubbledEvent(\"topLoad\",\"load\",e)];break;case\"form\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topReset\",\"reset\",e),k.trapBubbledEvent(\"topSubmit\",\"submit\",e)];break;case\"input\":case\"select\":case\"textarea\":t._wrapperState.listeners=[k.trapBubbledEvent(\"topInvalid\",\"invalid\",e)]}}function f(){N.postUpdateWrapper(this)}function p(t){Z.call(X,t)||($.test(t)?void 0:v(\"65\",t),X[t]=!0)}function h(t,e){return t.indexOf(\"-\")>=0||null!=e.is}function d(t){var e=t.type;p(e),this._currentElement=t,this._tag=e.toLowerCase(),this._namespaceURI=null,this._renderedChildren=null,this._previousStyle=null,this._previousStyleCopy=null,this._hostNode=null,this._hostParent=null,this._rootNodeID=0,this._domID=0,this._hostContainerInfo=null,this._wrapperState=null,this._topLevelWrapper=null,this._flags=0}var v=n(2),g=n(3),m=n(332),y=n(334),_=n(20),b=n(82),x=n(21),w=n(156),C=n(22),M=n(83),k=n(51),E=n(157),T=n(4),S=n(351),P=n(352),N=n(158),A=n(355),O=(n(9),n(364)),I=n(369),D=(n(8),n(54)),R=(n(0),n(94),n(80),n(96),n(1),E),L=C.deleteListener,U=T.getNodeFromInstance,F=k.listenTo,j=M.registrationNameModules,B={string:!0,number:!0},W=\"style\",V=\"__html\",z={children:null,dangerouslySetInnerHTML:null,suppressContentEditableWarning:null},H=11,q={topAbort:\"abort\",topCanPlay:\"canplay\",topCanPlayThrough:\"canplaythrough\",topDurationChange:\"durationchange\",topEmptied:\"emptied\",topEncrypted:\"encrypted\",topEnded:\"ended\",topError:\"error\",topLoadedData:\"loadeddata\",topLoadedMetadata:\"loadedmetadata\",topLoadStart:\"loadstart\",topPause:\"pause\",topPlay:\"play\",topPlaying:\"playing\",topProgress:\"progress\",topRateChange:\"ratechange\",topSeeked:\"seeked\",topSeeking:\"seeking\",topStalled:\"stalled\",topSuspend:\"suspend\",topTimeUpdate:\"timeupdate\",topVolumeChange:\"volumechange\",topWaiting:\"waiting\"},Y={area:!0,base:!0,br:!0,col:!0,embed:!0,hr:!0,img:!0,input:!0,keygen:!0,link:!0,meta:!0,param:!0,source:!0,track:!0,wbr:!0},K={listing:!0,pre:!0,textarea:!0},G=g({menuitem:!0},Y),$=/^[a-zA-Z][a-zA-Z:_\\.\\-\\d]*$/,X={},Z={}.hasOwnProperty,Q=1;d.displayName=\"ReactDOMComponent\",d.Mixin={mountComponent:function(t,e,n,r){this._rootNodeID=Q++,this._domID=n._idCounter++,this._hostParent=e,this._hostContainerInfo=n;var o=this._currentElement.props;switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":this._wrapperState={listeners:null},t.getReactMountReady().enqueue(l,this);break;case\"input\":S.mountWrapper(this,o,e),o=S.getHostProps(this,o),t.getReactMountReady().enqueue(l,this);break;case\"option\":P.mountWrapper(this,o,e),o=P.getHostProps(this,o);break;case\"select\":N.mountWrapper(this,o,e),o=N.getHostProps(this,o),t.getReactMountReady().enqueue(l,this);break;case\"textarea\":A.mountWrapper(this,o,e),o=A.getHostProps(this,o),t.getReactMountReady().enqueue(l,this)}i(this,o);var a,f;null!=e?(a=e._namespaceURI,f=e._tag):n._tag&&(a=n._namespaceURI,f=n._tag),(null==a||a===b.svg&&\"foreignobject\"===f)&&(a=b.html),a===b.html&&(\"svg\"===this._tag?a=b.svg:\"math\"===this._tag&&(a=b.mathml)),this._namespaceURI=a;var p;if(t.useCreateElement){var h,d=n._ownerDocument;if(a===b.html)if(\"script\"===this._tag){var v=d.createElement(\"div\"),g=this._currentElement.type;v.innerHTML=\"<\"+g+\"></\"+g+\">\",h=v.removeChild(v.firstChild)}else h=o.is?d.createElement(this._currentElement.type,o.is):d.createElement(this._currentElement.type);else h=d.createElementNS(a,this._currentElement.type);T.precacheNode(this,h),this._flags|=R.hasCachedChildNodes,this._hostParent||w.setAttributeForRoot(h),this._updateDOMProperties(null,o,t);var y=_(h);this._createInitialChildren(t,o,r,y),p=y}else{var x=this._createOpenTagMarkupAndPutListeners(t,o),C=this._createContentMarkup(t,o,r);p=!C&&Y[this._tag]?x+\"/>\":x+\">\"+C+\"</\"+this._currentElement.type+\">\"}switch(this._tag){case\"input\":t.getReactMountReady().enqueue(u,this),o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"textarea\":t.getReactMountReady().enqueue(c,this),o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"select\":o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"button\":o.autoFocus&&t.getReactMountReady().enqueue(m.focusDOMComponent,this);break;case\"option\":t.getReactMountReady().enqueue(s,this)}return p},_createOpenTagMarkupAndPutListeners:function(t,e){var n=\"<\"+this._currentElement.type;for(var r in e)if(e.hasOwnProperty(r)){var i=e[r];if(null!=i)if(j.hasOwnProperty(r))i&&o(this,r,i,t);else{r===W&&(i&&(i=this._previousStyleCopy=g({},e.style)),i=y.createMarkupForStyles(i,this));var a=null;null!=this._tag&&h(this._tag,e)?z.hasOwnProperty(r)||(a=w.createMarkupForCustomAttribute(r,i)):a=w.createMarkupForProperty(r,i),a&&(n+=\" \"+a)}}return t.renderToStaticMarkup?n:(this._hostParent||(n+=\" \"+w.createMarkupForRoot()),n+=\" \"+w.createMarkupForID(this._domID))},_createContentMarkup:function(t,e,n){var r=\"\",i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&(r=i.__html);else{var o=B[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)r=D(o);else if(null!=a){var u=this.mountChildren(a,t,n);r=u.join(\"\")}}return K[this._tag]&&\"\\n\"===r.charAt(0)?\"\\n\"+r:r},_createInitialChildren:function(t,e,n,r){var i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&_.queueHTML(r,i.__html);else{var o=B[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)\"\"!==o&&_.queueText(r,o);else if(null!=a)for(var u=this.mountChildren(a,t,n),c=0;c<u.length;c++)_.queueChild(r,u[c])}},receiveComponent:function(t,e,n){var r=this._currentElement;this._currentElement=t,this.updateComponent(e,r,t,n)},updateComponent:function(t,e,n,r){var o=e.props,a=this._currentElement.props;switch(this._tag){case\"input\":o=S.getHostProps(this,o),a=S.getHostProps(this,a);break;case\"option\":o=P.getHostProps(this,o),a=P.getHostProps(this,a);break;case\"select\":o=N.getHostProps(this,o),a=N.getHostProps(this,a);break;case\"textarea\":o=A.getHostProps(this,o),a=A.getHostProps(this,a)}switch(i(this,a),this._updateDOMProperties(o,a,t),this._updateDOMChildren(o,a,t,r),this._tag){case\"input\":S.updateWrapper(this);break;case\"textarea\":A.updateWrapper(this);break;case\"select\":t.getReactMountReady().enqueue(f,this)}},_updateDOMProperties:function(t,e,n){var r,i,a;for(r in t)if(!e.hasOwnProperty(r)&&t.hasOwnProperty(r)&&null!=t[r])if(r===W){var u=this._previousStyleCopy;for(i in u)u.hasOwnProperty(i)&&(a=a||{},a[i]=\"\");this._previousStyleCopy=null}else j.hasOwnProperty(r)?t[r]&&L(this,r):h(this._tag,t)?z.hasOwnProperty(r)||w.deleteValueForAttribute(U(this),r):(x.properties[r]||x.isCustomAttribute(r))&&w.deleteValueForProperty(U(this),r);for(r in e){var c=e[r],s=r===W?this._previousStyleCopy:null!=t?t[r]:void 0;if(e.hasOwnProperty(r)&&c!==s&&(null!=c||null!=s))if(r===W)if(c?c=this._previousStyleCopy=g({},c):this._previousStyleCopy=null,s){for(i in s)!s.hasOwnProperty(i)||c&&c.hasOwnProperty(i)||(a=a||{},a[i]=\"\");for(i in c)c.hasOwnProperty(i)&&s[i]!==c[i]&&(a=a||{},a[i]=c[i])}else a=c;else if(j.hasOwnProperty(r))c?o(this,r,c,n):s&&L(this,r);else if(h(this._tag,e))z.hasOwnProperty(r)||w.setValueForAttribute(U(this),r,c);else if(x.properties[r]||x.isCustomAttribute(r)){var l=U(this);null!=c?w.setValueForProperty(l,r,c):w.deleteValueForProperty(l,r)}}a&&y.setValueForStyles(U(this),a,this)},_updateDOMChildren:function(t,e,n,r){var i=B[typeof t.children]?t.children:null,o=B[typeof e.children]?e.children:null,a=t.dangerouslySetInnerHTML&&t.dangerouslySetInnerHTML.__html,u=e.dangerouslySetInnerHTML&&e.dangerouslySetInnerHTML.__html,c=null!=i?null:t.children,s=null!=o?null:e.children,l=null!=i||null!=a,f=null!=o||null!=u;null!=c&&null==s?this.updateChildren(null,n,r):l&&!f&&this.updateTextContent(\"\"),null!=o?i!==o&&this.updateTextContent(\"\"+o):null!=u?a!==u&&this.updateMarkup(\"\"+u):null!=s&&this.updateChildren(s,n,r)},getHostNode:function(){return U(this)},unmountComponent:function(t){switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":var e=this._wrapperState.listeners;if(e)for(var n=0;n<e.length;n++)e[n].remove();break;case\"html\":case\"head\":case\"body\":v(\"66\",this._tag)}this.unmountChildren(t),T.uncacheNode(this),C.deleteAllListeners(this),this._rootNodeID=0,this._domID=0,this._wrapperState=null},getPublicInstance:function(){return U(this)}},g(d.prototype,d.Mixin,O.Mixin),t.exports=d},function(t,e,n){\"use strict\";function r(t,e){var n={_topLevelWrapper:t,_idCounter:1,_ownerDocument:e?e.nodeType===i?e:e.ownerDocument:null,_node:e,_tag:e?e.nodeName.toLowerCase():null,_namespaceURI:e?e.namespaceURI:null};return n}var i=(n(96),9);t.exports=r},function(t,e,n){\"use strict\";var r=n(3),i=n(20),o=n(4),a=function(t){this._currentElement=null,this._hostNode=null,this._hostParent=null,this._hostContainerInfo=null,this._domID=0};r(a.prototype,{mountComponent:function(t,e,n,r){var a=n._idCounter++;this._domID=a,this._hostParent=e,this._hostContainerInfo=n;var u=\" react-empty: \"+this._domID+\" \";if(t.useCreateElement){var c=n._ownerDocument,s=c.createComment(u);return o.precacheNode(this,s),i(s)}return t.renderToStaticMarkup?\"\":\"<!--\"+u+\"-->\"},receiveComponent:function(){},getHostNode:function(){return o.getNodeFromInstance(this)},unmountComponent:function(){o.uncacheNode(this)}}),t.exports=a},function(t,e,n){\"use strict\";var r={useCreateElement:!0,useFiber:!1};t.exports=r},function(t,e,n){\"use strict\";var r=n(81),i=n(4),o={dangerouslyProcessChildrenUpdates:function(t,e){var n=i.getNodeFromInstance(t);r.processUpdates(n,e)}};t.exports=o},function(t,e,n){\"use strict\";function r(){this._rootNodeID&&f.updateWrapper(this)}function i(t){var e=this._currentElement.props,n=c.executeOnChange(e,t);l.asap(r,this);var i=e.name;if(\"radio\"===e.type&&null!=i){for(var a=s.getNodeFromInstance(this),u=a;u.parentNode;)u=u.parentNode;for(var f=u.querySelectorAll(\"input[name=\"+JSON.stringify(\"\"+i)+'][type=\"radio\"]'),p=0;p<f.length;p++){var h=f[p];if(h!==a&&h.form===a.form){var d=s.getInstanceFromNode(h);d?void 0:o(\"90\"),l.asap(r,d)}}}return n}var o=n(2),a=n(3),u=n(156),c=n(85),s=n(4),l=n(11),f=(n(0),n(1),{getHostProps:function(t,e){var n=c.getValue(e),r=c.getChecked(e),i=a({type:void 0,step:void 0,min:void 0,max:void 0},e,{defaultChecked:void 0,defaultValue:void 0,value:null!=n?n:t._wrapperState.initialValue,checked:null!=r?r:t._wrapperState.initialChecked,onChange:t._wrapperState.onChange});return i},mountWrapper:function(t,e){var n=e.defaultValue;t._wrapperState={initialChecked:null!=e.checked?e.checked:e.defaultChecked,initialValue:null!=e.value?e.value:n,listeners:null,onChange:i.bind(t)}},updateWrapper:function(t){var e=t._currentElement.props,n=e.checked;null!=n&&u.setValueForProperty(s.getNodeFromInstance(t),\"checked\",n||!1);var r=s.getNodeFromInstance(t),i=c.getValue(e);if(null!=i){var o=\"\"+i;o!==r.value&&(r.value=o)}else null==e.value&&null!=e.defaultValue&&r.defaultValue!==\"\"+e.defaultValue&&(r.defaultValue=\"\"+e.defaultValue),null==e.checked&&null!=e.defaultChecked&&(r.defaultChecked=!!e.defaultChecked)},postMountWrapper:function(t){var e=t._currentElement.props,n=s.getNodeFromInstance(t);switch(e.type){case\"submit\":case\"reset\":break;case\"color\":case\"date\":case\"datetime\":case\"datetime-local\":case\"month\":case\"time\":case\"week\":n.value=\"\",n.value=n.defaultValue;break;default:n.value=n.value}var r=n.name;\"\"!==r&&(n.name=\"\"),n.defaultChecked=!n.defaultChecked,n.defaultChecked=!n.defaultChecked,\"\"!==r&&(n.name=r)}});t.exports=f},function(t,e,n){\"use strict\";function r(t){var e=\"\";return o.Children.forEach(t,function(t){null!=t&&(\"string\"==typeof t||\"number\"==typeof t?e+=t:c||(c=!0))}),e}var i=n(3),o=n(26),a=n(4),u=n(158),c=(n(1),!1),s={mountWrapper:function(t,e,n){var i=null;if(null!=n){var o=n;\"optgroup\"===o._tag&&(o=o._hostParent),null!=o&&\"select\"===o._tag&&(i=u.getSelectValueContext(o))}var a=null;if(null!=i){var c;if(c=null!=e.value?e.value+\"\":r(e.children),a=!1,Array.isArray(i)){for(var s=0;s<i.length;s++)if(\"\"+i[s]===c){a=!0;break}}else a=\"\"+i===c}t._wrapperState={selected:a}},postMountWrapper:function(t){var e=t._currentElement.props;if(null!=e.value){var n=a.getNodeFromInstance(t);n.setAttribute(\"value\",e.value)}},getHostProps:function(t,e){var n=i({selected:void 0,children:void 0},e);null!=t._wrapperState.selected&&(n.selected=t._wrapperState.selected);var o=r(e.children);return o&&(n.children=o),n}};t.exports=s},function(t,e,n){\"use strict\";function r(t,e,n,r){return t===n&&e===r}function i(t){var e=document.selection,n=e.createRange(),r=n.text.length,i=n.duplicate();i.moveToElementText(t),i.setEndPoint(\"EndToStart\",n);var o=i.text.length,a=o+r;return{start:o,end:a}}function o(t){var e=window.getSelection&&window.getSelection();if(!e||0===e.rangeCount)return null;var n=e.anchorNode,i=e.anchorOffset,o=e.focusNode,a=e.focusOffset,u=e.getRangeAt(0);try{u.startContainer.nodeType,u.endContainer.nodeType}catch(t){return null}var c=r(e.anchorNode,e.anchorOffset,e.focusNode,e.focusOffset),s=c?0:u.toString().length,l=u.cloneRange();l.selectNodeContents(t),l.setEnd(u.startContainer,u.startOffset);var f=r(l.startContainer,l.startOffset,l.endContainer,l.endOffset),p=f?0:l.toString().length,h=p+s,d=document.createRange();d.setStart(n,i),d.setEnd(o,a);var v=d.collapsed;return{start:v?h:p,end:v?p:h}}function a(t,e){var n,r,i=document.selection.createRange().duplicate();void 0===e.end?(n=e.start,r=n):e.start>e.end?(n=e.end,r=e.start):(n=e.start,r=e.end),i.moveToElementText(t),i.moveStart(\"character\",n),i.setEndPoint(\"EndToStart\",i),i.moveEnd(\"character\",r-n),i.select()}function u(t,e){if(window.getSelection){var n=window.getSelection(),r=t[l()].length,i=Math.min(e.start,r),o=void 0===e.end?i:Math.min(e.end,r);if(!n.extend&&i>o){var a=o;o=i,i=a}var u=s(t,i),c=s(t,o);if(u&&c){var f=document.createRange();f.setStart(u.node,u.offset),n.removeAllRanges(),i>o?(n.addRange(f),n.extend(c.node,c.offset)):(f.setEnd(c.node,c.offset),n.addRange(f))}}}var c=n(6),s=n(392),l=n(168),f=c.canUseDOM&&\"selection\"in document&&!(\"getSelection\"in window),p={getOffsets:f?i:o,setOffsets:f?a:u};t.exports=p},function(t,e,n){\"use strict\";var r=n(2),i=n(3),o=n(81),a=n(20),u=n(4),c=n(54),s=(n(0),n(96),function(t){this._currentElement=t,this._stringText=\"\"+t,this._hostNode=null,this._hostParent=null,this._domID=0,this._mountIndex=0,this._closingComment=null,this._commentNodes=null});i(s.prototype,{mountComponent:function(t,e,n,r){var i=n._idCounter++,o=\" react-text: \"+i+\" \",s=\" /react-text \";if(this._domID=i,this._hostParent=e,t.useCreateElement){var l=n._ownerDocument,f=l.createComment(o),p=l.createComment(s),h=a(l.createDocumentFragment());return a.queueChild(h,a(f)),this._stringText&&a.queueChild(h,a(l.createTextNode(this._stringText))),a.queueChild(h,a(p)),u.precacheNode(this,f),this._closingComment=p,h}var d=c(this._stringText);return t.renderToStaticMarkup?d:\"<!--\"+o+\"-->\"+d+\"<!--\"+s+\"-->\"},receiveComponent:function(t,e){if(t!==this._currentElement){this._currentElement=t;var n=\"\"+t;if(n!==this._stringText){this._stringText=n;var r=this.getHostNode();o.replaceDelimitedText(r[0],r[1],n)}}},getHostNode:function(){var t=this._commentNodes;if(t)return t;if(!this._closingComment)for(var e=u.getNodeFromInstance(this),n=e.nextSibling;;){if(null==n?r(\"67\",this._domID):void 0,8===n.nodeType&&\" /react-text \"===n.nodeValue){this._closingComment=n;break}n=n.nextSibling}return t=[this._hostNode,this._closingComment],this._commentNodes=t,t},unmountComponent:function(){this._closingComment=null,this._commentNodes=null,u.uncacheNode(this)}}),t.exports=s},function(t,e,n){\"use strict\";function r(){this._rootNodeID&&l.updateWrapper(this)}function i(t){var e=this._currentElement.props,n=u.executeOnChange(e,t);return s.asap(r,this),n}var o=n(2),a=n(3),u=n(85),c=n(4),s=n(11),l=(n(0),n(1),{getHostProps:function(t,e){null!=e.dangerouslySetInnerHTML?o(\"91\"):void 0;var n=a({},e,{value:void 0,defaultValue:void 0,children:\"\"+t._wrapperState.initialValue,onChange:t._wrapperState.onChange});return n},mountWrapper:function(t,e){var n=u.getValue(e),r=n;if(null==n){var a=e.defaultValue,c=e.children;null!=c&&(null!=a?o(\"92\"):void 0,Array.isArray(c)&&(c.length<=1?void 0:o(\"93\"),c=c[0]),a=\"\"+c),null==a&&(a=\"\"),r=a}t._wrapperState={initialValue:\"\"+r,listeners:null,onChange:i.bind(t)}},updateWrapper:function(t){var e=t._currentElement.props,n=c.getNodeFromInstance(t),r=u.getValue(e);if(null!=r){var i=\"\"+r;i!==n.value&&(n.value=i),null==e.defaultValue&&(n.defaultValue=i)}null!=e.defaultValue&&(n.defaultValue=e.defaultValue)},postMountWrapper:function(t){var e=c.getNodeFromInstance(t),n=e.textContent;\n",
       "n===t._wrapperState.initialValue&&(e.value=n)}});t.exports=l},function(t,e,n){\"use strict\";function r(t,e){\"_hostNode\"in t?void 0:c(\"33\"),\"_hostNode\"in e?void 0:c(\"33\");for(var n=0,r=t;r;r=r._hostParent)n++;for(var i=0,o=e;o;o=o._hostParent)i++;for(;n-i>0;)t=t._hostParent,n--;for(;i-n>0;)e=e._hostParent,i--;for(var a=n;a--;){if(t===e)return t;t=t._hostParent,e=e._hostParent}return null}function i(t,e){\"_hostNode\"in t?void 0:c(\"35\"),\"_hostNode\"in e?void 0:c(\"35\");for(;e;){if(e===t)return!0;e=e._hostParent}return!1}function o(t){return\"_hostNode\"in t?void 0:c(\"36\"),t._hostParent}function a(t,e,n){for(var r=[];t;)r.push(t),t=t._hostParent;var i;for(i=r.length;i-- >0;)e(r[i],\"captured\",n);for(i=0;i<r.length;i++)e(r[i],\"bubbled\",n)}function u(t,e,n,i,o){for(var a=t&&e?r(t,e):null,u=[];t&&t!==a;)u.push(t),t=t._hostParent;for(var c=[];e&&e!==a;)c.push(e),e=e._hostParent;var s;for(s=0;s<u.length;s++)n(u[s],\"bubbled\",i);for(s=c.length;s-- 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r(){C||(C=!0,y.EventEmitter.injectReactEventListener(m),y.EventPluginHub.injectEventPluginOrder(u),y.EventPluginUtils.injectComponentTree(p),y.EventPluginUtils.injectTreeTraversal(d),y.EventPluginHub.injectEventPluginsByName({SimpleEventPlugin:w,EnterLeaveEventPlugin:c,ChangeEventPlugin:a,SelectEventPlugin:x,BeforeInputEventPlugin:o}),y.HostComponent.injectGenericComponentClass(f),y.HostComponent.injectTextComponentClass(v),y.DOMProperty.injectDOMPropertyConfig(i),y.DOMProperty.injectDOMPropertyConfig(s),y.DOMProperty.injectDOMPropertyConfig(b),y.EmptyComponent.injectEmptyComponentFactory(function(t){return new h(t)}),y.Updates.injectReconcileTransaction(_),y.Updates.injectBatchingStrategy(g),y.Component.injectEnvironment(l))}var i=n(331),o=n(333),a=n(335),u=n(337),c=n(338),s=n(341),l=n(343),f=n(346),p=n(4),h=n(348),d=n(356),v=n(354),g=n(357),m=n(361),y=n(362),_=n(367),b=n(372),x=n(373),w=n(374),C=!1;t.exports={inject:r}},function(t,e,n){\"use strict\";var r=\"function\"==typeof 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v={_enabled:!0,_handleTopLevel:null,WINDOW_HANDLE:s.canUseDOM?window:null,setHandleTopLevel:function(t){v._handleTopLevel=t},setEnabled:function(t){v._enabled=!!t},isEnabled:function(){return v._enabled},trapBubbledEvent:function(t,e,n){return n?c.listen(n,e,v.dispatchEvent.bind(null,t)):null},trapCapturedEvent:function(t,e,n){return n?c.capture(n,e,v.dispatchEvent.bind(null,t)):null},monitorScrollValue:function(t){var e=a.bind(null,t);c.listen(window,\"scroll\",e)},dispatchEvent:function(t,e){if(v._enabled){var n=i.getPooled(t,e);try{p.batchedUpdates(o,n)}finally{i.release(n)}}}};t.exports=v},function(t,e,n){\"use strict\";var r=n(21),i=n(22),o=n(50),a=n(86),u=n(159),c=n(51),s=n(161),l=n(11),f={Component:a.injection,DOMProperty:r.injection,EmptyComponent:u.injection,EventPluginHub:i.injection,EventPluginUtils:o.injection,EventEmitter:c.injection,HostComponent:s.injection,Updates:l.injection};t.exports=f},function(t,e,n){\"use strict\";var r=n(385),i=/\\/?>/,o=/^<\\!\\-\\-/,a={CHECKSUM_ATTR_NAME:\"data-react-checksum\",addChecksumToMarkup:function(t){var e=r(t);return o.test(t)?t:t.replace(i,\" \"+a.CHECKSUM_ATTR_NAME+'=\"'+e+'\"$&')},canReuseMarkup:function(t,e){var n=e.getAttribute(a.CHECKSUM_ATTR_NAME);n=n&&parseInt(n,10);var i=r(t);return i===n}};t.exports=a},function(t,e,n){\"use strict\";function r(t,e,n){return{type:\"INSERT_MARKUP\",content:t,fromIndex:null,fromNode:null,toIndex:n,afterNode:e}}function i(t,e,n){return{type:\"MOVE_EXISTING\",content:null,fromIndex:t._mountIndex,fromNode:p.getHostNode(t),toIndex:n,afterNode:e}}function o(t,e){return{type:\"REMOVE_NODE\",content:null,fromIndex:t._mountIndex,fromNode:e,toIndex:null,afterNode:null}}function a(t){return{type:\"SET_MARKUP\",content:t,fromIndex:null,fromNode:null,toIndex:null,afterNode:null}}function u(t){return{type:\"TEXT_CONTENT\",content:t,fromIndex:null,fromNode:null,toIndex:null,afterNode:null}}function c(t,e){return e&&(t=t||[],t.push(e)),t}function s(t,e){f.processChildrenUpdates(t,e)}var l=n(2),f=n(86),p=(n(40),n(9),n(15),n(24)),h=n(342),d=(n(8),n(388)),v=(n(0),{Mixin:{_reconcilerInstantiateChildren:function(t,e,n){return h.instantiateChildren(t,e,n)},_reconcilerUpdateChildren:function(t,e,n,r,i,o){var a,u=0;return a=d(e,u),h.updateChildren(t,a,n,r,i,this,this._hostContainerInfo,o,u),a},mountChildren:function(t,e,n){var r=this._reconcilerInstantiateChildren(t,e,n);this._renderedChildren=r;var i=[],o=0;for(var a in r)if(r.hasOwnProperty(a)){var u=r[a],c=0,s=p.mountComponent(u,e,this,this._hostContainerInfo,n,c);u._mountIndex=o++,i.push(s)}return i},updateTextContent:function(t){var e=this._renderedChildren;h.unmountChildren(e,!1);for(var n in e)e.hasOwnProperty(n)&&l(\"118\");var r=[u(t)];s(this,r)},updateMarkup:function(t){var e=this._renderedChildren;h.unmountChildren(e,!1);for(var n in e)e.hasOwnProperty(n)&&l(\"118\");var r=[a(t)];s(this,r)},updateChildren:function(t,e,n){this._updateChildren(t,e,n)},_updateChildren:function(t,e,n){var r=this._renderedChildren,i={},o=[],a=this._reconcilerUpdateChildren(r,t,o,i,e,n);if(a||r){var u,l=null,f=0,h=0,d=0,v=null;for(u in a)if(a.hasOwnProperty(u)){var g=r&&r[u],m=a[u];g===m?(l=c(l,this.moveChild(g,v,f,h)),h=Math.max(g._mountIndex,h),g._mountIndex=f):(g&&(h=Math.max(g._mountIndex,h)),l=c(l,this._mountChildAtIndex(m,o[d],v,f,e,n)),d++),f++,v=p.getHostNode(m)}for(u in i)i.hasOwnProperty(u)&&(l=c(l,this._unmountChild(r[u],i[u])));l&&s(this,l),this._renderedChildren=a}},unmountChildren:function(t){var e=this._renderedChildren;h.unmountChildren(e,t),this._renderedChildren=null},moveChild:function(t,e,n,r){if(t._mountIndex<r)return i(t,e,n)},createChild:function(t,e,n){return r(n,e,t._mountIndex)},removeChild:function(t,e){return o(t,e)},_mountChildAtIndex:function(t,e,n,r,i,o){return t._mountIndex=r,this.createChild(t,n,e)},_unmountChild:function(t,e){var n=this.removeChild(t,e);return t._mountIndex=null,n}}});t.exports=v},function(t,e,n){\"use strict\";function r(t){return!(!t||\"function\"!=typeof t.attachRef||\"function\"!=typeof t.detachRef)}var i=n(2),o=(n(0),{addComponentAsRefTo:function(t,e,n){r(n)?void 0:i(\"119\"),n.attachRef(e,t)},removeComponentAsRefFrom:function(t,e,n){r(n)?void 0:i(\"120\");var o=n.getPublicInstance();o&&o.refs[e]===t.getPublicInstance()&&n.detachRef(e)}});t.exports=o},function(t,e,n){\"use strict\";var r=\"SECRET_DO_NOT_PASS_THIS_OR_YOU_WILL_BE_FIRED\";t.exports=r},function(t,e,n){\"use strict\";function r(t){this.reinitializeTransaction(),this.renderToStaticMarkup=!1,this.reactMountReady=o.getPooled(null),this.useCreateElement=t}var i=n(3),o=n(155),a=n(17),u=n(51),c=n(162),s=(n(9),n(53)),l=n(88),f={initialize:c.getSelectionInformation,close:c.restoreSelection},p={initialize:function(){var t=u.isEnabled();return u.setEnabled(!1),t},close:function(t){u.setEnabled(t)}},h={initialize:function(){this.reactMountReady.reset()},close:function(){this.reactMountReady.notifyAll()}},d=[f,p,h],v={getTransactionWrappers:function(){return d},getReactMountReady:function(){return this.reactMountReady},getUpdateQueue:function(){return l},checkpoint:function(){return this.reactMountReady.checkpoint()},rollback:function(t){this.reactMountReady.rollback(t)},destructor:function(){o.release(this.reactMountReady),this.reactMountReady=null}};i(r.prototype,s,v),a.addPoolingTo(r),t.exports=r},function(t,e,n){\"use strict\";function r(t,e,n){\"function\"==typeof t?t(e.getPublicInstance()):o.addComponentAsRefTo(e,t,n)}function i(t,e,n){\"function\"==typeof t?t(null):o.removeComponentAsRefFrom(e,t,n)}var o=n(365),a={};a.attachRefs=function(t,e){if(null!==e&&\"object\"==typeof e){var n=e.ref;null!=n&&r(n,t,e._owner)}},a.shouldUpdateRefs=function(t,e){var n=null,r=null;null!==t&&\"object\"==typeof 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     "text": [
      "output for the first sample: f(x)=  0.0084513\n",
      "-0.013382731\n"
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       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
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       "    document.getElementById('iIXIK3W723BZP2MCMDD33')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<shap.plots._force.AdditiveForceVisualizer at 0x1436cebf0>"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# SHAP Local Interpretation\n",
    "\n",
    "# The force plot is good to see where the “output value” fits in relation to the “base value”. We also see which features have a positive \n",
    "#  (red) or negative (blue) impact on the prediction and the magnitude of the impact.\n",
    "shap.initjs()\n",
    "print('output for the first sample: f(x)= ',y_pred[0])\n",
    "print(explainer.expected_value[0])\n",
    "shap.force_plot(explainer.expected_value[0], shap_values[2], test_images[2,:].numpy(), feature_names = data.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b84adaab-cc30-44a2-aabd-1ab518fa1391",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
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       "<div style='color: #900; text-align: center;'>\n",
       "  <b>Visualization omitted, Javascript library not loaded!</b><br>\n",
       "  Have you run `initjs()` in this notebook? If this notebook was from another\n",
       "  user you must also trust this notebook (File -> Trust notebook). If you are viewing\n",
       "  this notebook on github the Javascript has been stripped for security. If you are using\n",
       "  JupyterLab this error is because a JupyterLab extension has not yet been written.\n",
       "</div></div>\n",
       " <script>\n",
       "   if (window.SHAP) SHAP.ReactDom.render(\n",
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      ],
      "text/plain": [
       "<shap.plots._force.AdditiveForceArrayVisualizer at 0x141f00a90>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap.force_plot(explainer.expected_value[0], shap_values, test_images.numpy(), link=\"logit\",feature_names = data.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "4d34692c-f8d4-4595-a817-64767a5ec40f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x468 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''\n",
    "The waterfall plot also allows us to see the amplitude and the nature of the impact of a feature. \n",
    "It also allows seeing the order of importance of the features and the values taken by each feature for the sample.\n",
    "'''\n",
    "plt.figure(facecolor='w')\n",
    "shap.plots._waterfall.waterfall_legacy(explainer.expected_value[0], shap_values[2], feature_names = data.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4cda8ef5-bb25-4c3f-b5aa-99a15e885bca",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}