{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Interpretable Decompositions"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Time series signal decomposition](https://en.wikipedia.org/wiki/Decomposition_of_time_series) involves breaking down an original time series into its constituent components. By decomposing the time series, we can gain insights into underlying patterns, trends-cycles, and seasonal effects, enabling improved understanding and forecasting accuracy.\n",
    "\n",
    "This notebook will show how to use the `NHITS`/`NBEATSx` to extract these series' components. We will:<br>\n",
    "- Installing NeuralForecast.<br>\n",
    "- Simulate a Harmonic Signal.<br>\n",
    "- NHITS' forecast decomposition.<br>\n",
    "- NBEATSx' forecast decomposition.<br>\n",
    "\n",
    "You can run these experiments using GPU with Google Colab.\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/Nixtla/neuralforecast/blob/main/nbs/examples/Signal_Decomposition.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Installing NeuralForecast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "!pip install neuralforecast"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Simulate a Harmonic Signal\n",
    "\n",
    "In this example, we will consider a Harmonic signal comprising two frequencies: one low-frequency and one high-frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 10_000\n",
    "T = 1.0 / 800.0 # sample spacing\n",
    "x = np.linspace(0.0, N*T, N, endpoint=False)\n",
    "\n",
    "y1 = np.sin(10.0 * 2.0*np.pi*x) \n",
    "y2 = 0.5 * np.sin(100 * 2.0*np.pi*x)\n",
    "y = y1 + y2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams[\"axes.grid\"]=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zn7N7925SU1O57LLLePTRR4mJiQFg8uTJ3HrrrRw/fpzXX3+dpKQkfv7zn/Od73zHsx+NjY385Cc/YePGjVitVkpLS3nqqafIyMigqKiInTt3snDhQs/yTz/9NI899hgnTgx0UR7t93H/hna7fYRB5u+5e0YbFr/5zW/41a9+NeL9jz/+mOjo6JBua+PGjSFdXySoNYHNoSJWJdKw/wsah0lUeNsnmx0ElFS2mHjprfdJjgr9uMwOqGxRAgLG43vYdMJIlN2A1mFA7ehB5Rq7MZpTocElKBFRIApKXCjoUiRjdcLGQy1kal0IohMF0v+VrrH7oTiUOmzKWCzqBKyqBGyqWE6aFbSZVGgUIh0VX/L+0eD3O0erwGhR8NKH21mdFVgOy+l4/vnDmbhf/u6TSqUiMzOTnp4ebLb+89MVWYE6D16M6uGYTCZAmnwcDofnQW4wTU1NXHzxxVxzzTU8/fTTVFVVcccddyAIAj/96U+ZO3cuJpOJzz//nLlz5/Lxxx+TkpLCli1bPOvbsmUL3/ve97yuH6SJ0WKx+Pz8wQcf5P777+ehhx5CoVDw1ltv8e1vf5vf/va3LFu2jJqaGu68805sNhv33XcfLpeLyy+/nJSUFDZu3IjRaOTee+8FoK+vD6PRiNls9hwDhULyNvb2SjliPT09GI1GDh8+zIUXXsjPf/5znnjiCTo6Orj33nu57bbb+NOf/uQZ+2OPPcbPf/5zfvSjH/Hf//6XH/zgB8yfP59p06bR09PD6tWrycrK4uWXXyYjI4P9+/djMpkoLS1lzZo1/O1vf2PatGme/X322Wf5xje+4fl9Bv9W3rDZbPT19bFt2zYcjqHnm3s/x+KMNix+9rOfcffdd3v+NhqN5OXlcd555xEfHx+SbdjtdjZu3Mi555572rnUnt9eB4eOsqQonYsumud5f6x9erN9F3vq9Ag5s1i/2HcVSVCILj7fX8HsPVuZEW/hmoI0EF1AdP+rH7UOtImgS0KMigdNv5dBrQOVzmtI4/l/lfFpRTtzCgpZf/bUEdvF3tfv+egDWy+C1eDxjOCwDFubFRROPqx1MVPopaBwGpdedF5QoRQ3tdEnqNh0HEtsNuvXz/HrO+E4/3qsDp7eUs3M7Hgunp0VknUGyul8Xfki0H2yWCw0NDQQGxuLVquVjIqylyIwUi/M+5ZP40IURUwmE3FxcQiCgFqtRqVSeb3H/u53vyMvL4+//vWvCILAwoUL0ev1/PSnP+Xhhx8mPj6euXPnsmfPHlatWsXOnTu56667eOihhxAEgd7eXo4fP84FF1zg8x6uUCh48MEHeeSRRzzvPfLII/zoRz8CpC6p3//+9z2f/fCHP+SnP/0p3/3udwGYPXs2JpOJ++67j4cffpiNGzdy7NgxTpw44cnVEASBiy66CJ1OR3x8vOdBNS4uzjMutxciNjaW+Ph4/u///o9rrrmG++67z7Ptp556irVr1/L3v/8drVaLQqFg/fr1nnlrzpw5/N///R979uxh4cKF/Oc//6Gzs5Pdu3eTnCyFiQd3i/3Od77D97//fZ566imioqLYv38/Bw8e5K233iI+Pn7Eb+UNi8WCTqdj1apV0nk3CF/G2nDOaMMiKiqKqKiRj9RqtTrkN6twrDPcHDgpnSTz85O9jt3XPq0rzWRPnZ5Pj3Vw44oQhEMcVjA0gqEBDCexHK5nuqKdBSlJqBQCqGMhNh1iMyA6FXSJoArcVbJsSgofV7Szu97g/bfSRAGJ3r9s74O+bujtgJ426GkFp42Wk7XMUvRwcbwFdYUeEnKlV3wOKAO7vBZPToVNxylr8DG+UQjV+dds6OOmF/ZQ0WwkSqVgTUnmuJNnx8PpeF2Nhb/75HQ6EQQBhUIhPQWLinEZruNCUIDCe96P26XuHqs7YVLhZfnKykqWLVs2xMV+1lln0dPTQ1NTE5MmTWLNmjVs3bqVe+65h88//5xHHnmEN998k+3bt6PX68nIyGD69OmjDvcnP/kJN954o+fv1NRUz3gWLVo0ZGx79+5l9+7dPProo573nE4nFouFvr4+jh49yqRJk5g0aZLn8xUrVgB4fhv3+ob/e/B7+/bt4/jx40NCOO6QRF1dHaWlpYBkTAweX2Zmpic0dODAAebNm0dqqvcmh1dccQW33347//3vf/nGN77BCy+8wNq1a5k8WbpPD/+tvOH+Db2dp/5ei2e0YSEzOmX1eoCA25GvK03ntx9Wsr26E7PNQbQmiNPIaYfuOuiqBlPzkLyIY512asVMVhcvh5mzQRsa79KS/kTQvXV6rA4nUaoAuqW6vSHx2dLfoojZ2MEbb71NitjJ1KxkydvRcUx6KZSScZEyBRLypL/HYE5eAkqFQLPBwkl9HzljJNOGmkMnDdz8j920GqVQk9Xh4rW9DXxn1ZSIjkPGB0oVzLtu4rYdAkRRHPGk7M7RcL+/Zs0ann32Wfbv349CoWD69OmsXr2arVu30t3dzerVq8fcTmpqKkVFRV4/c3sS3LhcLn71q19xxRVXDHmvp6cHrVbrtcfQ8H1wT9KDlx2ej+Byufjud7/L7bffPmJ9g42W4ZO3IAgeg0CnG/2eoNFouO6663j++ee54oor+Ne//sWTTz456nfCgV9ny+Bwwlg8/vjjQQ9mLHp6ejh+/Ljn75qaGsrLy0lOTh7yw8iMTatRmrwUAgFLUE9NjyUvWUdDVx9fHO/k3OkZ/n3R5QJTE3RWg75+aLxYlwQJefRFZ/PUm/twuOC3M+eDNnS5MEVpMcSpRUx2F+X1ek8JalAIAl+2iFQ4s8lJnELaWaslL4a+QfK8WE3SPurrQamB5EJIniJ5Xnw8dUZrVMzIjudAo4E9tV3kzM0JfnwB8smRVm7/Txlmm5Op6bFcMDOTpzYf56Wd9dxy1mQUAaqJyoSJEE3wE8X06dN54403hhgY27dvJy4ujpwc6XxftWoVJpOJJ598ktWrVyMIAqtXr+Y3v/kN3d3d3HHHHSEd0/z58zl69OgQQ8TlcmE0Gj2GTX19PU1NTWRnSw8WO3bsGLKOtDSpIqy5uZmkpP4Kr/LyEds5fPiwT4PHH2bPns0zzzxDV1eXJxQynFtuuYWZM2fy5z//GbvdPsRgihR+naVlZWV+rcxXzCZU7Nmzh7Vr13r+dhs8N9xwAy+88EJYt32m4fZWTMuIC7gPhyAIrCvJ4IXttWyqaB3bsLCZob0SOqqkp3o32nhpsk2e7PFKlFV34HBBZryWvOTQPrELgsDUeJF9nQI7TnSOz7AAPjsmNR1bNS0VQaGUvBnx2cASMHdBV43kkbH1QvtR6RUVB2klkDrVazhnQX4SBxoN7Kvr5msRMiye/6KGX284gkuElVNT+dM356NSCLywvZb6LjNbj7WztiR97BXJyPRjMBhGTKzJycl8//vf58knn+RHP/oRP/zhDzl69CgPPPAAd999t+epPyEhgblz5/LSSy/xhz/8AZCMjSuvvBK73c6aNWtCOtb777+fiy++mLy8PK688kpPNcrevXv53e9+xznnnENxcTHXX389jz32GEajkV/84hdD1lFUVEReXh4PPvggDz/8MFVVVTz22GNDlrnvvvtYunQpP/jBD7j11luJiYmhoqKCjRs38tRTT/k11muuuYZHH32Uyy67jN/85jdkZWVRVlZGdnY2y5YtA6C0tJSlS5dy3333cdNNN43p5QgHfs0oW7ZsCfc4/GLNmjVhb339VaGsQRJimhekFsW60nRe2F7L5n4VTq9PtKZWaDsiPbWL/aVNKq1kSKRMgZiRccLdNdK4FhUmh8VQnZogsq8Ttld3cuc541uXu8x0pTe1zehk6ZUzH0wtkoHRXSt5Mhp3Q1OZdBzSS6Xl+lmQn8TzX9RGrNPpq3sa+NW7RwC4ZvEkHvraDI+GxpUL8njuixpe3FknGxYyAfHpp58yb968Ie+5HwDff/99fvKTnzBnzhySk5O5+eab+f/+v/9vyLJr165l3759HiMiKSmJ6dOn09TU5MlFCBXnn38+GzZs4KGHHuJ3v/sdarWakpISrr32WgBP5cjNN9/M4sWLKSgo4I9//CMXXHCBZx1qtZp///vffO9732POnDksWrSIhx9+mCuvvNKzzOzZs9m6dSu/+MUvWLlyJaIoMmXKFK6++mq/x6rRaPj444+55557WL9+PQ6Hg+nTp3uqStzcfPPNbN++nZtuummcRyc4Tm+/mkzQBJtf4WZxYTIxGiVtJiuHm4zMyu3XXXC5oLsGWg5KyY5uYjOkSTQx32cSGMCu2v7+IAXhEd8qipcM0/J6PRa7E606gDyLQTQb+qhq60EhDDQ584ogQHyW9MpbCl0nJGOrr3sgHyM2AzJnQuIkjwJnRbORHqsj6K6u/vKfXfUAfHfVZH56YckQY+66Zfk890UNW4620dBlJi85tCXaMmcmL7zwwqge5NWrV7Nr165R1/H73/+e3//+90PeG+4B8UVtba3Pz3w9mJ5//vmcf/75nr/doRA306ZN47PPPht1uytWrODAgaE1+8O3t2jRIj7++GOf6/A29uH7nZ+fz+uvvz7qWJqbm5k5cyaLFi0adblwEdRda/fu3bz22mvU19cP1Ff38+abb4ZkYDLhw+F0caBfknt+kIZFlErJyqlpfHi4hU8qWpmVHSuFOloPSU/lIJWnpUyRXP/R3uOBg7E7Xeyrk8a1aJyNx3yRpoWM+ChajVb21nWzosh7dvVYfFYlhUFm5yaSGO1n1YRSBWnTpJepFdorpATWnlY43gq6JLKyZpOToOWkwcL+Bn3Q4/OHNqOFff0G5rdXFI7wEBWmxrByaiqfVXXw0s46frY+tE+KMjIyoaWnp4eKigqeeuopfv3rX0/YOALWDf7Pf/7DihUrOHLkCG+99RZ2u50jR46wefNmEhL8UwuUmVgqW0xY7C7itComp8YGvZ51pemocHDi0Jdw8HWo3yEZFSot5CyA2VdB/nK/jAqAw01G+uxOEnRqpqXHBT2u0RAEWNZvtGyv7gh6PW7DYtXUICf+uAyYvAZmXQmZsyVZ8b5uOLGVW5LLmSw0sae/u2u4+PhIKwBz8xJ99ji5flkBAK/sacBid4Z1PDIyMuPjhz/8IWeddRarV6+esDAIBGFYPProozzxxBNs2LABjUbDH/7wByoqKrjqqqvkyozThLIGPSBNKEFn+7tcrEvp5GvK7cR2lGE0GSSRqrwl0mSZNTtgrQl347FFBUlhrUJYMlkyLHZUBzdxu1win7vzK8bRHwQATTTkLpCOWfY8UEVRkiSyRFGBqvItqYImTHlFbsPi/BmZPpc5uySdnEQderOdd/c3hWUcMjKnI6IoTmizNW+88MILWK1WXnnlFZ/9USJBwIZFdXU1F110ESAJUPX29iIIAnfddRd/+9vfQj5AmdBTVj+OxE1RlCa7w2+S3FnGlCQ1PaKOz2zTYObXIWN60CVxu2rdhkV4wiBulvZ7LA40GuixBi6RfLjJSLfZTmyUirl5iaEZlCoKsufCrCtJLTkLi6iho6MT14ltUPGOJCAWQowWOzv6PTbnz/Bd1aNUCHxzqfTA8OLOupCOQUZG5swkYMMiOTnZozOek5PDoUOHANDr9X7riMtMLOX9cfWA8ysMjXDkv1CzTQp5qKOJn7aSDa6l/LcxdtSkzLFwuUT2uA2LMOVXuMlN0pGXrMPhEtndv81A2NbvrVg2JSX0XUiVagpnLOYT1Up22Qpo7XVJpatVG+HoB9DTHpLNbKlsw+4UKUqPZXLa6OGwqxfmoVEqONBooLzf2yUjIyPji4DviitXrvQ00bnqqqu44447uPXWW7nmmmtYt25dyAcoE1q6e22c6JCa4/j9tN2nlya2qo1SHoBSI+VQzPwf5i5YioiCz493YHUEH4Ovbu+h22xHq1YwMzv8uTrL+jUsdgYRDtl2rL9NerD5FWOgUiqYlZfCYbGArZpVkDFTUu40tUDlBsmws43PiP/ocAswurfCTUpslKdnyD931I5ruzIyMmc+ARsWTz/9NN/4xjcAqcnXj3/8Y1pbW7niiit49tlnQz5AmdDifuKcnBYzdjWD0wYNuyUvhaFR6heQMRNmfV3KoVBKSpHpcVGYbU521QT+9O/GHQaZl5eERhViL4AXlvWXiO44EZhh0WN1sK8/lORVvyJEuMtOdzeaIW8RzLhCEtUCKRR16A1oPgCuwI05i93Jp0cl42i0/IrBXLcsH4ANB5rp6h27E6yMjMxXl4CD4YNlRBUKBffee6+nhazMqY8nvyJvlPwKUSTG0oxw5G1wtxNPyJMmOO1Qb4IgCKwtTueVPQ1sqmgLerJ1GyXhDoO4WTZZ8jYcOmnA0GcnQedfc50vT3Rid4rkJevITwmfrsP8fsPCbcQQFQsFZ0mlu/U7obcdTu5FaK1AZ+sJaN1fHO/AbHOSlaBlVo5/3qG5eYkUZ8RxtNXE9uoOLp6dHdA2ZWRkvjoE9Wjocrk4duwYn3/+Odu2bRvykjm1cVeE+BTG6utGqPqQ1J5KqaOnNh6KzoGp54wwKty4VRm3HG0LWhnVXRGyJEKGRWaClsmpMbhEAvK0uMtMV05NC6uE/fx+w6+mo5fOHuvABzGpUHIRFK4CdTRYTaQbDyKc2CJJh/uBOwxy3vQMv/dBEAQWFUpj2i/nWcjIyIxCwIbFzp07KSoqorS0lFWrVrFmzRrPa3AfD5lTD5dL9CRujjAsXE44uQ+OvAM9bYiCAjFnAUy/HBLzRl3vWVNTUSsF6jrNnvyNQGjsNtNksKBSCEErgQbDUnc4JIA8C3fi5qowhkEAEqLVTE2XkirdIlYeBEESHpt5BWTMRESQZNMPvwVtlaOWpzqcLj6paAP8D4O4mdPfrG5/gyGg78nIeOOFF14gMTExoO/ceOONp1yJp8xIAjYsbrvtNhYuXMihQ4fo6uqiu7vb8+rqCj7G/lXAYLZPaK+T6vYeTFYHOrWS4oxBAlSmFimPonm/1NMjIZeTiUv6kwbHPkVio1Qs7U+G3FLZFvC43JUZM3ISgmvBHiTuBE5/hbIau82caO9FqRA8ORrhxJ1nsddX3xClGjFnAc2JCyEmTWpFX78Djr4vVZJ4YU9dN129NhKj1SwO0DvkNvoOnjTgcLoC+q7MVwdfk/+nn36KIAjo9XoArr76ao4dOxb28bzwwgsIgjDi9cwzz4R9219VAr6LV1VV8frrr4+r9etXkU0Vrdz6zz0szE/mqWvnkRHvXekwnLj7g8zOTUClVEgTUeNuqesmgFoHeUsQ43JxHn0/oHWvLU7ns6oONle2ccvKyQF9d1d/47Fw9QfxhdsYqmwx0dVrIzlm9GTWz/vDIHPzEv3OyRgP8/OT+M/uBvaN0ZDMropFnHYh6Kvh5F7oaYOKdyFzFmTNHWIcfnxYEsVaV5IhnQMBMDk1lrgoFSarg2OtPUzPjg94n2Rk3Oh0uoh13oyPj+fo0aND3vOmFG2321Grw39tn+kE7LFYsmQJx48fD8dYzmj+8mm1FM+v7eKiP37GF8eDl5MOliEdTY3NkpfCbVSkToMZl0NyYVDrPrs/z2JXTRcmiz2g7+6OkDDWcNLiopiWIYUb/FGVHMivCF//jsG4PRb7G/XYHGN4CARBavI2oz90JbokD1Tlux7vhSiKA/kVfpSZDkehEJidJ92MZT0LmfHiLRTy8MMPk56eTlxcHLfccgs//elPmTt37ojv/v73vycrK4uUlBR+8IMfYLePfs8RBIHMzMwhL51Ox4MPPsjcuXN57rnnmDx5MlFRUYiiiMFg4M477yQzM5P4+HjOPvts9u/fP2Sd//u//0tGRgZxcXHcfPPNI8a6Zs0a7rzzziHfueyyy7jxxhs9f9tsNu69915ycnKIiYlhyZIlfPrppyOO0UcffURpaSmxsbFccMEFNDc3D1nvc889x4wZM4iKiiIrK4sf/vCHANx0001cfPHFQ5Z1OBxkZ2fz3HPPjXrMxkPAhsWPfvQj7rnnHl544QX27t3LgQMHhrxkRlLZYmRPXTdKhUBxRhwdPTaue/ZLntpUhcsVudBIWb0eJU7WRp+AYx9KIldRcTDtAihYEbAE92AKUmOYnBqDwyV6nuz9obPHyvE2qaoh0oYFwHVLpTLKJz45RvcoZZR9NiefHx9I3IwEk1NjSIxWY3W4ONJsHPsLIMmqF50j9SFRaSWjouJdaD7A4ZN6Tur70KoVQeeIDORZ6IP6vsz4cLgcE/KKBC+//DKPPPIIv/3tb9m7dy+TJk3iL3/5y4jltmzZQnV1NVu2bOEf//jHmN1Ux+L48eO8+uqrvPHGG55Oopdccgmtra1s2LCBvXv3Mn/+fNatW+cJ97/66qs88MADPPLII+zZs4esrCz+/Oc/B7ztb3/723zxxRf85z//4cCBA1x55ZVccMEFVFVVeZYxm838/ve/58UXX2Tbtm3U19fz4x//2PP5X/7yF37wgx/wne98h4MHD/LOO+94Igq33HILH3744RBD5OOPP6anp4errroqmMPlFwGHQv7nf/4HYEiDE0EQEEURQRBwOuVGRcP515dSa+rzpmfwxNVzeeC/h3llTwOPbTzG3vpunrhqLkljuOHHS4/VQWdrIxcqjlCqmgSoIa0YchdJDbBCwNqSdE58XsOmyjYunJXl13d210pelGkZsWE/Bt64ZvEkXv6ynsoWE49vPMavL5vpdbnffFCBoc9OVoKWObmRabYnCAILJiWxqbKNvXXdgcmHJxdCXCbUbZcSO0/upbpqB/EksWzaZHSa4PoIuMcgeywij8Pl4K3jb03Iti8vuhyVwv/pYsOGDcTGDlV0HWtueOqpp7j55pv59re/DcD999/vmQQHk5SUxNNPP41SqaSkpISLLrqITZs2ceutt/pct8FgGDKe2NhYWlok753NZuPFF18kLU0ytjdv3szBgwc5duwYaWlpKBQKfv/73/P222/z+uuv853vfIcnn3ySm266iVtuuQWQPC2ffPIJFovFzyMktcf497//TWNjI9nZUvn2j3/8Yz788EOef/55Hn30UUAKz/zf//0fU6ZMAaRGYw899JBnPQ8//DD33HMPd9xxh+c9d7v05cuXU1xczIsvvuiRhfjXv/7F17/+9RG/TygJ2GNRU1Mz4nXixAnP/2WGYrY5eGvfSQC+uSQfrVrJb78+m//39dlo1Qo+PdrO1X/bgTOcnguXi+rybaxT7GVSjIP4uESYep7UeTRERgUMhEM+PdrmtydmosIgblRKBQ9cMgOAl7+so8KLZ+DTo238c4fUJ+N3X58dcG7CeBihZxEIah0UrZNKU5UaauvruEC5i69PCkz3YjBuw+JYmymoPisyXw3Wrl1LeXn5kNdYyZJHjx5l8eLFQ94b/jfAjBkzhjTYysrKoq1t9KTxuLi4IWPZvn2757P8/HyPUQGwd+9eenp6mDJlCvHx8cTGxhIbG0tNTQ3V1dUAVFRUsGzZsiHbGP73WOzbtw9RFJk2bZpnG7GxsWzdutWzHYDo6GiPUTF8f9va2mhqahpV9fqWW27h+eef9yz/8ccfe4y3cBGwxyI/Pz8c4zhjeXd/Eyarg4KUaJYPqiS4cmEes3ITuPL/dnCstYc9tV0smRyGSgOrCWq20XX8MAIiURlTYfploAq9d2BRQTKxUSo6emwcPGlgzhhP2KIoenJNAq1QCCXLpqRw0aws3jvYzIPvHOY/31nq0Xfo7rVx7+tSiO/G5QURC4O4md/fKG6sBM5RSZlCvT2eMkMNOQorK9TH4bgD8s8CdWBJxOnxWrITtDQZLBxsNESkOkZGQqVQcXnR5RO27UCIiYkZkeDf2Dh2I73huirequiGJ1cKgoDLNXoOkkKh8FlwEBMTM+Rvl8tFVlYW77zzDrGxsSgGJT8HUh6rUChGjH9wLojL5UKpVLJ3794RnUgHexO87a97vf4kv15//fX89Kc/ZceOHWzfvp1JkyaxcuVKv/cjGAI2LN555x2v7wuCgFarpaioiMLC4BIAz0Re7g+DXLtk0ohW4CWZ8Zw/I5PX9zbywaGW0BsWndVS+aHTTk23jS9cM7mhZG1YjAoAjUrBWUWpfHi4hc2VbWMaFluPtVPZYiKq/3sTyc/Wl7CpspUva7p472AzF8/ORhRF/r+3D9FmsjI5LYb7LiiJ+Ljm5CWgVAg0Gyw06fvITgwui/7jKhOfuuZyda6J6Cgb6Bug979QuBLiA1PRnDspkaaDLexv1MuGRYQJdII/nSguLmbXrl1cd911nvf27NkT8XHMnz+flpYWVCoVRUVFQwwLN6WlpezcuZPrr7/e897OnTuHLJOWljYkt8HpdHLo0CGP3tO8efNwOp20tbUFPdHHxcVRUFDApk2bfOpIpaSkcNlll/H888+zY8cOrr322qC2FQgBn6WXXXbZEIvJzeA8i7POOou3336bpKTIlg+eahxo1HOg0YBGqeDrC7yLTF04021YNHP/xdNHGB9B4bBBw07JsADE2HSe706hQVSGrs23D84uSefDwy1sOdrGXedO87mcKIo8sVGqYb9+WT4pscEnjoaC3KRobls9hSc/qeLR9ypYV5LBR4dbeO9gMyqFwJNXzw06L2E8RGtUTM+K5+BJA3vruoM3LA63AgKlc5ZCaQKc+BQsBjj2kVSWmj3f7+60c3ITef9gi0dsTUYmFPzoRz/i1ltvZeHChSxfvpxXXnmFAwcOMHlyYOXr4+Wcc85h2bJlfPOb3+R3v/sdpaWlNDU18f7773PZZZexcOFC7rjjDm644QYWLlzIWWedxcsvv8zhw4eHjPXss8/m7rvv5r333mPKlCk88cQTHg0PgGnTpvHNb36T66+/nscee4x58+bR0dHB5s2bmTVrFuvXr/drvA8++CC33XYb6enpXHjhhZhMJr744gt+9KMfeZa55ZZbuPjii3E6nbz66qshO1a+CDhYvHHjRhYtWsTGjRsxGAwYDAY2btzI4sWL2bBhA9u2baOzs3NI1upXFXfS5oWzMn1qJJw1NZXYKBWtRqtHbntc9HZCxTuSUSEIkD2PxrTVNPQqUSsFZoRZe2BNiRQqONBooM3kO5Fpc2Ub+xsN6NRKvrt6is/lIsltq6eQk6ijyWDhoQ2H+eV/DwHwo7OnMru/GmIiGFMoaww6e6zsqZNyWc6dkQnRyVB6qdR3BKDloCSqZTX5tT63cbq/UR/UeGRkvPHNb37T09hy/vz51NTUcOONN6LVRlbzRxAENmzYwPLly7nllluYNm0a3/jGN6itrSUjQyrTvvrqq7n//vu57777WLBgAXV1dXzve98bsp6bbrqJG264geuvv57Vq1dTWFg4wqvw/PPPc/3113PPPfdQXFzMpZdeypdffkle3uhqx4O54YYbePLJJ/nzn//MjBkzuPjii4dUlYBkLGVlZXHeeeeRleVfYv24EANkxowZ4hdffDHi/c8//1ycPn26KIqiuHHjRjEvLy/QVYcdg8EgAqLBYAjZOm02m/j222+LNptt6Lb6bGLJ//eBmH/fBvHLE51iu7ldfLf6XbGqq2rEOu749z4x/74N4q/fPTy+wbRWiOLef4ji7udEcf+romhsEUVRFN8uaxTz79sgXvr0536t5ljHMfHBVx8UG/WNQQ3jkqc+E/Pv2yC+8EWN189dLpe4/g/bxPz7NoiPvn8kqG24KWstEz848YFosprGXNbXbzWY9w40ifn3bfC8Ln36c9HucI5rjKIoik6XU9zWsE3cXLdZtDvtAX33v+Unxfz7NoiXPPXZiM/82adXdteL+fdtEC/647aRH3bVimLZy9I5s+8lUeyuE812s/hRzUfiruZdXtfXY7GLhT+Vjk+LoS+gffEXf/ZLFEWxs69T3FC9QazsrAzLOELJ8c7j4oOvPijWddf5tXxfX5945MgRsa8vPMd4NHptvaLeohcdTseYyzqdTrG7u1t0Osd/nQznnHPOEb/1rW/5/Nzlcokmq0k0WAyi0xW67QezTw888IA4Z84c3+t0OUWDxSCarCbR5XKFYJT+09vbKyYkJIivvfbamPs12nnn7xwasMeiurqa+PiRT73x8fGeqpCpU6fS0RF5AahTif+WnaTP7mRqeizzJ8Wzu2U3fY4+DnQcwGQb+mToLs384FBLcJLfTjuc2CrlU7icUifS6ZdCnGRdu0sD5/kRBjHbzZS3l2MX7ext2xtUDfsl/Z0vf/NBBQe8PNV+fKSVw01GYjRKvrsqeG9FS28LVfoqTHYT+9r2Bb2ewVw4M9Mj9a1TK3niqjkhqQKp6q6ixdxCh6WDI51HAvqu22NxuMmI2Rb47+FW2zy31EtvkKR8yXsRkwZOGxzfxP7Dr2Kw6Kk11tJgbBjxlZgoFdP6JeEnsuzUJbrY3bIbs8PMoY5DGKynbg+TPkef57ra17YPuzMwEblIYnfZsTgtOEUnvfbeiLUhMJvNPP744xw+fJjKykoeeOABPvnkE2644Qaf37E6rdhcNhyiA4vD/1LPiaDP0YdDdGBz2bA5fWvmhBKXy0VTUxO//OUvSUhI4NJLL43IdgO+Yy5YsICf/OQntLe3e95rb2/n3nvv9dTOVlVVkZubG7pRnmaIouhJ2vzmkkkc7T5Kj10q8XOKTsrayoYsv3paGtEaJSf1fRxoDPDmaO6SQh9dJ6TQR+5CqcRwkNhVma/GY17Y17YPpyjVm5sdZg53Hg5sPMC3VxSwpjgNi93Frf/cQ4th4IJ3uQZyK25cUTCmjLYvHC7HkOPYam6l3lgf1LoGIwgCj14xi2WTU3jsqjlMTht/rXevvXeIMVHVXRXQJJidoCUzXovTJQZ8fphtDj7rb5zmU20zKhaK10PGDFrsJhpay6H1ENit0mToZRI8FfQsjnUfw2iTyoNduNjbundCe/GMRnlbOXaXdBwtTgsHOw5O8Ii8I4oiZrvZ87dDdERsEhQEgffff5+VK1eyYMEC3n33Xd544w3OOeccr8u7RBd9jj7P3xanJWJiXoFid9mxOge6FPc5+nCJ4e+3U19fT05ODq+++irPPfccKlVkkn8DNiyeffZZampqyM3NpaioiKlTp5Kbm0ttba2nTrmnp4df/vKXIR/s6cK++m4qW0xo1QrOmZlAZVclALNSZ6EUlCMmQa1a6Wk9/v6hZq/r9EpnNVRuAItRUlwsXi8l4g0q2bI6nBxpkm6+YyVuNpoaae5tRoGCPJUU46vqrkJv0fs/JiRtiKeumce0jFhajVZu+eduz5P2R4dbqGwxERul4tYAe4oM5miXZKxplVqKk4oB2N++PyQ3wcLUGP79naWs91PkayzK2spwiA7SdGnkxOQEPAkKghB0nsW2Yx1YHS7yknWUZMb5XlChwJEzn7K4RFComIKGuPajWHpavE6CnjyLCTIseu29VHRWADAzZSYqQUWnpZMaY82EjGc0WnpbaOxpREDwXFfVhmo6+/zvqhsp3J4KBQp0SilROFKToE6n45NPPqGrq4ve3l727dvHFVdc4XN5s92MiIhKUKFRaAbemyDj8sEHH/Qodw5msLEWpYxCJahwMdQoChcFBQWIokhDQ8OoWhehJmDDori4mIqKCv773/9y++2388Mf/pB33nmHw4cPM22aVAVw2WWXDSkZ+qrxry8l9/Els7M5bjyACxdZMVmUJJdQmlwKjJwE18+UJrEP/QmHuFxQtwNqtvWHPnIld3Zs+ohFjzQZsTldJMdomJQc7XOVdped8vZyAKYlTSNTmUlOTA4iInvbAn8SjNOqefaGRaTEaDh00sjdr+zH4XTxxCeSt+KmswpJjA7OW2G0GT3G2rz0ecxImUGcJu6UfBIcbKzNz5jP3PS5A5Ogwf9J0COUFaBh8fGR/t4g0zNHaAQMp7Krkh6NDl3eEmalzGB+VDq0VVBdv41O89DQpruU+ECjIbzibj7Y17oPh+ggXZdOaUopM1IlkbOD7QdPKZe4w+VgX6sUppuSMIVMZSaT4iYBkncwEhO2vzhdTs+x06l1aFXagUnQHv5JMBDsTjs2l3T/jFZHE62ORoECh+gY4hk4FRhirKl0RKul+7DVaT2lQ2LjIajgsSAIXHDBBdx+++3ccccdnH/++V5rfb+qfH5ccj2vKBVp72tHJaiYlz4PgOLkYq+T4JriNLRqBXWd5tH7Qth6pQz+dmliJXuu1BvCh9CROwwyNy9x1InlcMdh+hx9xKpjPR6AOWlzUAkquixdnDAErqqalxzNX69bgEap4MPDLVz79y851tpDnFbFzWcFr3Wyr3Wfx1jLjctFqVCyIH0BACcMJ+joOzXye+xOuydcU5JcQrwmnmh1NDNTJdnwAx0H/J4EPR6L+m6/jTyH08Xm/jb2500fvemY0WbkaJfUkG5ezjLU0y8lPWs+BZpE6K5j34F/4rIPjHVaRhzRGiU9Vgcn2oNX8gyGBlMDLeYWFCiYlyFdV0WJRSRFJWFz2TjQfur0LKrorKDX0YtOpWN6ynQAZqXMQqPQoLfqqequGmMN3kWiwoHZIXkA1Ao1UcooBEEYmARdp84kKIoiZofkAdAqtagUKhSCNGmD5GFxuk6N1hLDjTWFoEClUBGllELVZsfEeVh8EYrx+GUN/PGPf/RooP/xj38c9fVVp8VgodVoRal04FBLT6SlKaXEqCV1N4Wg8DoJxkSpWDNN8jh8cLDF+8qNzVJDqd52UGokgyJ73pDQx3D8SdzstnRzXC91rJ2XPs8jwqNT6TyT4MGOg0G57hYWJPPbr88CpM6uALeunBx02/FaQ+0IYw0gLTqNgvgCoN/wOAWeBA93HsbitBCrjqUkeUBcyz0J2l129rfvH2UNA0zPikerVqA32/2W995d243ebCcpWu0xTHzhNtayY7LJic0BhRIKVjC7+Ao0ChV6YwNVZc96OqUqFQIzc6SeKSEpk/YTu9NOeVs5MGCsgXRdzc+YD0CdqY7W3taIjckXBquBY92Sh25e+jzUCumc16q0zEqTrokjnUeG5DQMxq24aDZ7/zyU2Jw27C47AgLRqgHP5qk4CfY5+iQPgKBAqxp4oNIoNagEFSJiRMIM/jDcWHOjU+lQoMApOrE4Tx0PGwycb+NpH+9XJscTTzzBN7/5TbRaLU888YTP5QRB4Pbbbw96MGcC7ol8UlYHohBPgiaBaUlDhaLck2CtsZZ9rfs4J/8cFIKCC2dl8uHhFt4/2Mw9500b6mFoPQKNu0AUJR2CyWtBO7YmxZBW6V4QRZF9rfsQEcmLyyMzJnOI7GxRYhF1xjq6rd0caD/AkqwlAR4RuHxeLtVtvTy95TgJOjXfXlEQ8DpAch0e6JCeRqenTPcYa25mp82mubcZg81AVXcVxcnFQW0nFAw21uanz0epGBDXEgSB+Rnz2Vy/mXpTPQXxBWTEjO5R0KgUXDI7m9f2NvLMZzUsyB9bAt0dBllXmjFqZUuNocarsQYQlTmT2VzDniOvcsRwgrzDbxE95WxILmReXiK7arrY36DnqoX+192Ph0Odh7A4LcSp44YYawDJ2mSKEos4rj9OWVsZ5+afO+S4RxL3dTXYWBt8XRXGF1JnqKPD0kF5WznLc5aPWIdSqSQxMdHTFyI6OnrMcFYwuEQXPbYeXLjQKrXY+/9zI4gCDpsDGzZEuzhkMgep8sBms2GxWMLuuXa4HFKlCiLRqmhs4tCcKoVLgd1ux4YNl92FRhlcuDUU+2Rz2jA7zAgIRKmjsLiGGhAKpwKLw4LdaseldkXkXB1tv0RRxGw209bWRmJi4giZ8UDwy7Coqanx+m+ZkRxo1CMoTWSlmoB45mfMRyGMPDG9TYJnl6SjUSo40dHLsdYeijPjpByKuu3QKU1SpEyBSctBOfZP19FjpaGrD0GA2XneO3Ie1x+ny9qFWqFmTtqcEZ8LgsCCjAVsqt9Evame/Ph8MmO8lC2Owd3nTiM/JZppGXHEaYOzhA+0H8DqtJKgSWBq0tQRn0cpo5iVOos9rXs40nmEvLg8jys3koiiKCVnIjIpbpJXo8E9CVbpq/yeBG9dNZnX9jby4eEWajt6KUiN8bmsKIqeMtPRwiBWp9UTkpueMt3r8SrMnE9tXzsdjTsp661nxYlPoa+LOblSXlCkKkO6LF1DPGvejtfMlJk0mhox2U1UdlcyI2VGRMY2nBpjDR2WDq/GGgwYl5/UfcLJ3pOc7DkpeYqGkZkpXWtjNdkaD25vhUJQoFVqvRovDpeUuyAgoFVph9zTRFGkr68PnU4XFsNnMBaHlK+gElREqbyr9fqzP2Mx3n0SRclrIiKiUWjoUnZ5Xc69P0pBOcJgCwf+7FdiYqLnvAuWcdeeOBwOLBZLWFuwnk7sb9Sj0DWQmxRPYXwhqTrvPTCilFHMTp3N7tbdHOk8QlFiEXFaNaumpfJJRRsfHGqmOFkB1Vuk0IcgSC3OM/y/Uboll4vSYon3Mpm7RJenDHJW6ixPjHI4SdokzyR4uONwUIaFQiFw5TieantsPdQaawF8GmsAhQmF1BnraO9rp6KrggUZC4LeZrA09jTSbe32aay5mZEygwZTAya7iTpjHZMTR6+SmZYRx9riNLYcbeeZz0/w8GWzfC57pNnISX0fWrVi1MZpVd1VoxprbuZnL+UTm4mm7ho6HWZSmg+wRNWCGgeVLSYsdidadXifuA53SKXPg421g40G/rqtmmsXT2J5USpqpZq56XPZ2byTo11HmZY4DXUIO/j6gyiKnrH6MtYAEqIkb2ZldyWHOg55NSwEQSArK4v09PQhHo9Q0WfvY2vjVlDCosxFpOh8937Z3bKbzr5OsmOymZ0+2/O+3W5n27ZtrFq1alzu87Fo623jaNtRlIKSs3LOQqf2fr9yuBx8cfIL+hx9FCcVU5gYeD7XePepuruaBn0DMZoYlmct9/nQ0Gvr5YumL3CJrjGPfygYa7/UavW4PBVu/DYs3n//fTo7O4dUezzyyCP8+te/xuFwcPbZZ/PKK698pfuDuFwiBxq6UOh6yE3KHOGqHU5BQgEHOw5icVrotHSSHp3OhTOz+KSijR37K7gzrQzsZkmTYvKagJtFuZ8kfZWZdlu6sblsaBQaJieMPqkVJxdTpa+iy9qF1WkdEi+MBK1m6ek7TZfm01hzU5JcQvvJ9gmLs7u3WxBfMOpTiFqppiixiEOdh2gxt4xpWIDktdhytJ3X9jRy1znTiI/ybmBtPCKNYdXUtFF7nLjHWpxc7NNYA2kSzI7LoVEQaVUlkKJvIdnRxpUx9bzbO51DJw0sLAhfh1qny+nJRypJLkEURf65o45H3qvA5nRR3qBn20/WolAI5MXlcajjED32Hjr6OsiKjYCE8SCMNiMWpwWVoBrVWAPpuFd2V2K0GTHbzT6NEKVSGZIb/nBarC3YlXaSo5LJSRpp2AymJL2ETxs/pdXeOkRmW6lU4nA40Gq1YTUsuoxd2JV28hLySIobfZ4pTC1kf/t+OhwdlGpLA97WePep3dGOXWlnSsoUYqJ9exa1Wi1Z5ixqjbV0ObrI0Y7+G4yXSP1WfgePfv/732M0DlQrbN++nfvvv59f/vKXvPrqqzQ0NPDrX/86LIM8XTjR0UuPsxuVEgqTk4nVjO3FSY+WEjbbzVIlyTmlGUxVNFPQ9RltXd2gS4KSiwM2KmDs/Io2s+ReTdOljenu06l0xGnihow1krjH6j5eo5GiS0GBgl5HL7323nAPbQTtfdLxyYgePW8Chv7+/iTGLZucwqycBKwOFy/urPO5nEdtc5QwiM1po9sqnSNpurHbwXvGqo6C4vUImhhKkkTOV+6mqqpyzO+Phy5LFw7RIbm2xWh++K8yHnjnMDanlKTb2N3HtqqB89K9P2194Qsh+MJtBKfoUkY11kBKOEyKkq5P93kTSdzb9Oe6StYmoxSUWJyWCVE5DeQe4L72Ovo6Ip7I7XA5PBol/ox1Is/VcOG3YXHo0CGWLx9IMHr99dc599xz+cUvfsEVV1zBY489xrvvvhuWQZ4u7G/QI6iM5CbqyPSiKeGNtGjppGo1t4IoktBZzrWZDShwsaMrBkou8itJczhOl8j+Buni9+WxCOSmAgMXa6RvgKIoBjRWtUJNkla6WbtvRpHCbDfTY+9BQBjTswJSmEklqLC5bOit+jGXFwSB76ySPBv/3FGHxT6yrK68Qc+RZiMKQUrc9EV7XzsiInGaOL9yUdznaqelE2e/wZuSkYcaB2LVJ9AauEqrv7hvur3maC556nPeO9iMWilw/8XTuXF5AQAv7RwQnXOfq5H+/WHA8PbHsISBc3oixurxBEaPbVgqFUrPOR3phwur04rBJt3P/LkHxGviiVJG4RAddFm85zeEi46+Dly4iFZFB/Rw2W3pPmVKeseL34aFyWQiJWUg/vP5559z9tlne/6eMWMGTU1NoR3dacb+Rj0KtZHcpGi/byru5brN7diPfQSth5iZHc9BVyF/a8yHIOPD1e099FgdRGuUTMsYeXIPdi37c1OBQZZ1hG+ARpsRq9OKSlCRrPXP3T5RE4t7e0naJL9i+wpB4Tn+/o71wpmZ5Cbp6Oq18WbZ0GuuvEHP9c9+CUhGxWiS6e7JIV3nn2EZr4lHq9TiFJ10WjpBE03i3EuodmXTqDdDwy6o/UIScAsxbb1tHD5p4IE3GqnrNJOTqOO125Zz01mFfGupJDi1ubKVJr1UZug+pnqrPqKCSS7R5TGC/b2uhnstI0WPrYc+Rx8KFH4ZwTBxRpB7ewmaBL/CsIIgTNj9ynNd+fnAFq2OJlYdi4h4ymjwjBe/DYvs7GwqKiQJ3Z6eHvbv38+KFSs8n3d2dhIdHfkM/FOJ8oZ2BKWZ3KRov28qMeoYYkQFrub9dHYdA4WKoqUXc4TJHG42Ud8ZXA17Wb/WwezcBK+lhl2WLpyiE61SS0KU94qR4bj3yWgzRrRO3P1UlapLHdO17CbQyTpUBBIGceO+AfrrCVIpFR6Bsee31+EWvtxb18W3nvkSo8XBwvwkHr/Kd+IoDAqF+XmuwiCvVf/Nc1ZeErspZZMpnx6bEzqOQdVHYA9dbb7D5aDT0skHh1qw2mI5pzSd924/y+OJK0qPY0lhMi4R/rNbUr3VqrQejYtITth6qx67yy55zaL8yzebqNCd+/dP0aV4tGvGYvC5GklNi0An68HLRtpgc3vX/AkvuvEYbGdIOMRvw+LrX/86d955Jy+++CK33normZmZLF261PP5nj17KC6eON2AicbqcFHZfhIQKclI91lhMQJjM2ntVWDvo010QPF6knKLWdrfYfPDwwH0DhnEQOLm6PkVgVyoUcqogXhwBC/WYG4qKdoUTzzY3agqEgxOMvWXwZO1v/HgqxbmkaBTU9tp5mCXwK7aLq5/dhc9VgdLCpP5x02LRy3rtTgsAbmW3QwJ3QHxWjVT0mI5Kk7iQNQiSbjN1CL1sOkLTH7cFx19HZzsNtNpEtAqo/njNfNGyMF/a2k+AP/ZVY+9P+9iIkJ3nutKl+53maJaofZ44tzHNRJ4JsAADMtAQ3ehIpj7lXvZTktnxJqT2Z12ui3dQ7bvD26v4USEw8KB34bFAw88wMKFC7n99tspLy/npZdeGpKl/O9//5tLLrkkLIM8HahsMeFQGInRqChJ9TOzt/0YVH1MhqCBqFjaMoohRjIoLpwplXS+70uFcwzG6mgazNPq4OUjdQEMdi0HcqEqFUpStNKxjJQRZLKZPK7lQMrGEqIS0Cg0OESH56Y0FjFRKk8I4N16Bbf8cx+9NidnFaXywrcXExM1+hOo+5gmRiUGVOHjCd1Zuj3dOufkJgLwZZcOStZDVBxYTVD5Hhga/V63z7Ga2zl40oDoiGNtcTrRmpH7dv6MTFJiNLSZrGyqGJo3ENHJOsjraiKert1jDcS7FkzobryY7WZMdhMCQkAGe5wmDp1Kh1N0RizPoqOvAxGRWHVsQBo6ExW6Cxd+GxbR0dG8+OKLdHd3U1FRwcqVK4d8vmXLFu67776QD/B04UCjAYXKSG6SjvSYMSZAUYTGPVD3BYgu0tJnQsZMup1mT2Oy82dkIgiS56HZEFjYocfq4GirCfAu5e1wDSQ0+Rtfd+NePlJPge4JTK1QkxiVGNB3Ix0Pdk8KqbpUv13L0B8PDuJmfcPyAtRKgXaLQJ/dxZriNJ65YeGo5aVuBlcEBUK0OpoYVQwuXJ7M97n94mvlDfqBKqa4THDa4fgnkmrsOGgzt3HopAGXI95nx1mNSsFViySdlJe/lJI43fvmNvjCjUt0BVQNMJhIT9YGqyHgvCU3HiMoQvcA93aSovzLWxpMpD0BbiM20N9/okJ34ULuHBYiyvrzK3KSdKOfVE4HVG+Glv4GZNlz0U09jzitdHP2PJ3Ha1nQXyb64aHAvBYHGvWIIuQk6kiPH6mjEGjW8mBSdakICPTYe3z2OAglnuMRgGvZjftmHal4cCAZ9sMJxmBLj9Py9fmSd+zs4jT+et0Cv0Wqggkvebbb/x33/ro7ne5v1EvHWa2FqedD6lTJiG74Eup3BpXUaXfaOdzaRGevDY2YyNklvsd77eJJCAJ8VtVBbUfv0FLOCNys3SWxUcoov/OW3EQ6dDc4v8LfvCU3nnM1gNDdeAgmDOIm4g8Xg+5XgTKRlUyhRjYsQsSBFukpqSQ907dr2d2ZVF8vNXkqXCU1EWPoxermwv6nsw8CNCwGdzT1xngmFbUysqWcwbqWQaq7VwkqqVQtzHX3gZbEDsft5ero6wioM+PPLyzmh9Od/OmaOUSp/DMqgnUte8Y6zG1fkhmPRiU1SKvv6jc2FQooOAtyF0p/t1VA9SZw2Lyt0iftlnYOntQjOrWsmZY7aognLzma1dOk/fn3rn6vRQQ9AcF6gSDyobvx3AMGh+4iEWIYzz3AvX9dli5P6C5cWJ1WT95JMGP1nKtnQAKnbFiEgD4HNJqkk2FBTr73hXo7oWIDmDtBpYVpF0h9P/rxZllf0J9nsbu2i3aT/3G3bcekm8ZY+RXB3FQgcpb1eFzLIMWD3WV04b5YgymJHcyIUk4/0aqVTE0QR20yNhyPa9nPktjhuG+A3dZubE4bGpWCGdmSG3dE35DMWTDlbFCopHyLo+9J+Rf+jtXczqGTRsRRwiCD+eYS6fp7dU8DVoczok+BweQsDGa4JyhciKIYVOWCm8Ghu3AbQT22HswOc0AlsYMZUsppDm8p5+CS2GD6fkQ6dBdOZMMiBNT3CghqI0kxGqam5I5cQF8veSrsZtAlQunFMExAy32hGmwGLA6pVC8nUcec3AREET467J/XorLFyJc1XSgVgtcbsd1pD0ht0RuRUoobrLYYqGvZTaRcoeNxLbuJVALf4MqFYBiiwtpvpLgTOL02JEvKh+L1oI6GPr2U1Nnj3z6WN9fT0WNFKSaOKvblZm1xGlkJWrrNdj442BKxUs7BaovBPK0O/p6/KqzBMqQkVhtcC4ZIGWzue0yyNjmgvKXBROp+NR4vEBDx0F04kQ2LEFDTY0VQWMhLih5pVbcegeObwOWA+BwovkjKmh9GlDLKk5w4+KS6YKZkHPibZ/HPHZLM83nTM8hOHFny6lFbVPuntugN9826z9GHyeb/02egjCdnwY37Ig+3tO94n1Yhcm778biW3QzXs3CH3fb76nQakyIZ1NHJYO+DYx9Ad+2o27CLdnbWnQRgZeFkYseodAFJ4+OaxVK1zMtf1kVMhbWzrxMXriFGV6C4Q3c2ly2sobvBIZtgjeAhKqwBhO4CxTNZj5UQPwoRM9iDKN8dzkSqsIaSgM+q22+/nT/+8Y8j3n/66ae58847QzGm044acw8A01IzB1zLLpeUsNYgqSCSVgxF54DKtxKiN8vaXXa640Qn3b2jx6cNfXbe2ifdiG/olzkeznjDIAAqhWogxBDGCyBQZUhvJEYlolFosLvsYau7H5xfMa6bim4gHhyuuvvxupbduM9Vt/HnNiwONRk9OhIj0MRInouEPHA5pc697iRmLxhdJg43GRCd0Vwy20eI0QtXL8pDEGB3bTftJmtEJpZQGJaDSznDGQ4JhWE5OHQXzjyL8XrXYGToLhwMfsgK1hMMX2HD4o033hiiuOlm+fLlvP766yEZ1OlGU/8JNTe7/+bntEuJam2SUim5iyB/uZTQNgre3IsFqTGUZsXjdIlsrBj9ZvPangb67E6KMyQlQm+E4qYy+PvhugACbeTji8HSvuEqj+u2dgestuiNWE0s0apoXLjCJu0bCtcyDFVhtTgs5KdEk6BTY3O4qGwexYulVEs5F+n9HScb9/iUAa/tM9LRY0PpSmBdqf/nQEa8lqnpUrXT/gZ9RHIXxpOzMJhwn6suceDcGo8RBOEvOzVYDVicFpSCMqi8JTc6lW6glDNMY3UbrUlRSWiUvh8ex2KiGyiGioANi87OThISRsa74+Pj6eg4M3TOA6HFaMGMCUEQWDypYKDyw9AoVX5MWQuZM/1al69STrfX4oODvlU4XS7R0+3y+uX5XkszA23kMxqDbyrhiAePpyR2OOF+Yh3sWQm0JHY44X5i8TwBjsO1DCNDd4IgeMpOyxv1o39ZoYBJSyFvifR3xzE4vnFExchhk+QJXDypYFQVUW+4cz72N+qHdOUMRylnsGqL3hh8roYjdDe4JNY92QZLuA2LwbowSsX4WsaH+7oKVr9iOBPZQDGUBGxYFBUV8eGHH454/4MPPmDy5MkhGdTpxK66JgSFlYw4LXkqdX/lRxeodTDtQkgq8Htdvko53YbF58c7MFq8l0xtrWqnrtNMnFbF5fO8K38G2shnNAaXcobjZj3eRKjBuJ+uOyzhybMIRS6Im0gaQeNleH+DMfMshpMxHYrWSRUjxqb+ihHJmOhz9FHbawUELplREvDY5vZXRJU36FEpVGEt5QxWbdEb7tBdICqsgTA4vyJURrC771CoCUXY1k24DQt/71dN+j6f93A3Z4KeRcCGxd133829997LAw88wNatW9m6dSv3338/P/3pT7nrrrvCMcYh/PnPf6awsBCtVsuCBQv47LPPwr7N0djdIHkJZsdHoTr20UDlR8lFEBsaoaSpGXFMSYvB7hTZXOH9ZPvH9lpA6iHhTfIYQjtZK4QB2epwXAChci2DVHfvjgf3iqF1L463JHY47v0NRzzY7VoOtiR2OMNVDd0KnH4bFgCJk0ZWjPR2sruxFqMdFGIMF8z0Umk1Bh6PRYMel0sMa+gulOdquEN3obwHxKhjPCqsJjG0SdxD8pZCcFzd6whHA8Veey+9jt4xpfxrO3o59/GtnPW/m/msyvdvO1ENFENJwIbFTTfdxGOPPcazzz7L2rVrWbt2LS+99BJ/+ctfuPXWW8MxRg+vvPIKd955J7/4xS8oKytj5cqVXHjhhdTX14d1u6NxuK2RNLpZpWrvr/zI9ln54Q++LGt36eiTnxzjRHvPkM9qO3r59Gg7ggDXLfWd5BbKJwAIn2UdSteyG09OgCu03pVQupZBqruP08QhIoZ8YnFPKim6lHG7lmFk6G52/2R+vL0H0xhPZUOISZEMcV2SZJgffZ/PDuwEYHZGHvEBhkEAijPjiFIpMFoc1Hb2hjV0F4rEzcGE6+na3SUWQuNdG7wekyu0hoXeqsfmsqESVEGXxA4mnKWcbo9lsjYZtcL3ufrPHXX02pwYLQ5ufH43z39R4/VcnKgGiqEkqOyt733ve3zve9+jvb0dnU5HbOz4YuD+8vjjj3PzzTdzyy23APDkk0/y0Ucf8Ze//IXf/OY3I5a3Wq1YrQPCUkaj9CPZ7Xbs9vGrsLmcLuzd+yhQtFEcl4MjsRBx0jIQBQhy/fGqeESniMlpotvcTaxaOrZXLcjmtT0N1HaauexPX/CHq+dwVpFkHb/wxQkAVk1NJSdB43Xf+hx96C16BAQSVYmj7r/7s7GOUZI6CafTSUtPC1abNejSteE09zbjcDqIVceiRh2S3ypZnUy1sxqjaAzJ+tw0GZtwOp0k65JxOEJTyZGsTkbfp6fZ2Ex61OiGlb+/FUCTqX+smuSQHYN4VTxd1i6ajE3kx+eTm6ilUW+hrK6TZZP9b8SGIgqmnItQsxWMTXQ0fE4GCawrmhz0WGdkx7OvXs++2k4umZMJLjA7zXT0dgTcd8YXVqeVTrM0WSeqQ3RdaaTrqrWnFYvVEhIjEKQJ1eawoVVq0Qm60FxXmmSOOY9hdIXnukqLTsPpcOJk/KGWJE0SHeYOmkxNZOlGF1sL5LpqNjaPeV31Wh28trcBgAWTEtlbr+dX7x6hstnA/ReVolENvXcmqBNo72un2diMLsHPTtl+EMh+jfb9sRDESDRRCAE2m43o6Ghee+01Lr/8cs/7d9xxB+Xl5WzdunXEdx588EF+9atfjXj/X//6F9HR44uFArTrG9ncuhUlAtfnLMMcWzjudQJU2isxuUzkq/JJVw5MLEYbPHtUSW2PgAKRywpcLE0XeWCvkj6nwHdLnExP8v5zdjg7qHHUECPEMF0zPSTjFEWRMlsZTpyUqkuJVYTGwKx31NPqbCVNmUaBqiAk67SIFg7aDiIgME8zD6UQmpu1r99qPHQ5u6h2VKMTdMzU+Jf4OxaiKFJmL8Mphva3anQ00uxsJkWRwmT1ZF44pqCsU8HFk5ycmxPErUV0Ye06zNsdB1CI8K3MhVgTpkEQ+QBv1Sr4tFnBqkwX/1Po4pj9GAaXgTxVHpnKzMDH5oVw/FYAZbYyHKKDEnUJcYrgvJ/Dcf9WyYpkpqinjP0FP7CJNvbb9gMwTzMPlRB8pdFgwvFb6V16quxVaAQNczRzQrJOgHJbOXbRTrG6mHiFd6/l5y0Cr9UoSdWK/GKuk0+bBd6pUyAiMCVO5KZiJ7GDnB1NjiZOOk+SpEiiSF0UsrGOF7PZzLXXXovBYCA+3reH1q+zYP78+WzatImkpCTmzZs3atLPvn37Ah+tH3R0dOB0OsnIGOpuzMjIoKXFu3jUz372M+6++27P30ajkby8PM4777xRD4q/NOoNWLeKHGnWs+Ly76BWB+6y9UZhVyFHuo6QG5vLkswlQz673OHil+8c4a2yJt6sVVJhiaPPaSI/OZq7r1mBQuH9t9nbupcYUwzFicXMTB39Bmi329m4cSPnnnvumPuU3JxMU28TM1NmUpxUHNiO+mBT/SbSbGkszlhMXlxeSNYJoKnWsPfAXuadNY/chMDj9sNxuBxYT1hx4eK8SecFLYw0HKvTyoaaDQCcXXD2qPLA/v5W3ZZuLI1SfsUlky8JmXepzdzGZ02foVPqWF+4npaEWso+PIY1Jov16+cGtc6HN8bT0NbCYpWetVMTUCZrEQtWSaWqAeA60Mynrx1Er0pk/fqlFHUXcbDzIJnRmazIHlkyHwzl7eXoDDqKEoqYkzb6ZBXIdZXakkpDTwOlSaVMTwnNg8CnjZ+SYklhQfoCCuILQrJOgKgTUezav4s5K+aQn+i/3ogvXKIL+wk7DtHBurx1IfMu2V123j3xLiIia/LXjJpo6+9vZbKZ6KvvQykouaTwEq/eJVEUefrp7UAv31lbwsXL87kYuPhYO3e9epBqk4O/VMfx5m1LSIqWSlU7+zr59OSnRCmiuLDwwnEn2ga6X75we/3Hwi/D4mtf+xpRUVIVwWWXXRbwYELJ8AMsiqLPgx4VFeUZ92DUanVIjIDCtFS+87Xv8v7774dsnQDZ8dkcNRyl29Y9Yp1qNTx+1VymZyXw6AcVVLRIsc3rlxcQFeW7frrT1olSqSQrPsvvcfqzT1lxWbRaWumydYVk/61OKyanCaVSSXZ8NmpVaI4pQGas9OSjt+spVI/fu9TV24WgFIhVxZIcM/5kSDdqtZpkXTIGmwG9Q0+ebmzjaqzfqtvUjVKpJDMmkyjN+CqCBpMRl4FaqcaGDYtoYX6BFP44cNIQ9Pmw7cQJWkhGFZeFUq1B1dMMJz6RBOY0/nsaFxRIAmCVzT24BAXZ8dkc0R9Bb9ejVClDYlyF7bqKz6Kprylk15XdZcdgN6BUKsmJzwnZvQqGXleheLru6OtAVIjoFDpSY1JDNqmqUZMWk0anpZNuezcJ0WO3CRjrt+rq6UKpVJKuS0cb5f0BYEd1J1VtvURrlFy9ON+zvnNnZPPW9+O48fndNHb3seFgGzedJd2X0lXpRKmicIgOzC4zidrEwHd4HPs12vf8wS/D4oEHHvD670iSmpqKUqkc4Z1oa2sb4cU43XGXclqcFgxWw4g+GYIgcOuqyRSlx3L7v8uIiVLx9QW+n8BDpbboDXeiWWdfJy7RNe6b9Xgb+YxGMK3JR2M8LZLHIj06HYPNQJu5LSRem1An7rpRKVSk6FJo72un3dzOzOx8lAqBVqOVFoOFzITAfsMT7T00GFtRKgUmJ01CnLoOardKzfsq35PKU6P9M+LyknUkx2jo6rVR2Wxidm4iaoUau0tKDh4tg98fQqW26I3hKqzjETMD6foMVUnscEKtZ+FOrkyLHn9J7HDSo9PptHTSZm6jIKFg3OtzVwSNdl39c0ctAJfPyyFBN3RinpoRx81nFfLQhiN8eKjFY1i4Gyi2mFto62sLzrCwGEAbXI+l8RL0LGCz2WhsbKS+vn7IK1xoNBoWLFjAxo0bh7y/ceNGli9fHrbtTgT+lnKuLUln1y/O4aM7V404YQcTKrVFb8Rr4olSRoWshXIoy+GGM1ja1+4cf6JZqERxvBFKPYvBaovhMoJAOh46jZLiDCkk5LUh2Ri8tf84gsLGlNRY0jWxEJMmVYxoE8DWMyA+5weCIDAnN8EzFkEQQmpchkpt0RuhVmH1aK2E2AACPA8rgxsojodQV9kMJpQNyURRHGIEeaNJ38fHR6Rjf/2yAq/LeLpY13XRZho4fuOqDuquhSPvwMnwpCaMRcCGxbFjx1i5ciU6nY78/HwKCwspLCykoKCAwsLQJC/64u677+aZZ57hueeeo6Kigrvuuov6+npuu+22sG53IvB3YtFplCREj+6eCkUjH18MrrsPRXlcKBr5+EKn0qEVtCEp5QxHSexg0nRpCAiY7KYhKqzBMLgkNtgusaMx/InVo8AZhGHxYcVRAJbm5w94v7TxknERlyXJ5R//BNoq/VrfnGGiXaHUCAiVPL4vQmlchtNgj1JGES1ED9lOsDhdzpCXxA4mlA0UDVaDpyTWly7My1/W4XSJLJucQnGm9xys7EQdc/IS+7tYD8jOB63C2nJQ6sPjckhijV7k8sNNwIbFt7/9bRQKBRs2bGDv3r3s27ePffv2UVZWFrbETTdXX301Tz75JA899BBz585l27ZtvP/+++Tnjz9h6FRjsKrheAt3QtHIZzRCpWfhvtgFhLCN1Z1hP96xhlJt0Rtq5UDfkfGONZRqi94YrMJqsBqCE8pC0mM5oW9GEATWTR0Wq1dFwdTzIKUIRBHqd0DDbunfozBcZnxw6G68XTnD+WQNodOzsDltdFslIzhcRpDnuhqnJ6DT0olTdKJVakOiCzOcUDZQdHuBUnWpXkPAFruTf++SSkxvWD76HOVWV/7w0EDbhoBVWF0uqNsu9d8BqR/PlLPH7FEVDgL2i5eXl7N3715KSgKX2Q0F3//+9/n+978/IduOJIlRA/FgvVUftEhMqBr5jIanhXJf57jiwYNdy+oAKwD8JV6QblbjnqxDqLboi/TodLqsXbT3tY8rHhzOp1UYCN21mltpM7cxb5J0kyxr6MZosfstcLXhQBOCysiUtBiKknPooGHYhhRQuFLyYJzcB62HwGqEwtWg9H7Oze0X7TrR3ouhz06CTpKztzqtdFm6gp5o/VVbHA+DVVjtTnvQ14TbkxSniUOnCp0mwmDcZZbjva7Cfa6CdL9q62ujzdzGlMTgy249OVY+xvregWa6em1kJ2g5p3R04/PCmZn87weV7DzRRXevjaQYjccbfLL3JO197aOfZw4bnPgUjFJ3a/KWSJL5E0TApsz06dO/ks3GIo1CUIQkxBDKRj6+cN+wXAzIWwdDKHtu+ML9ZGWwGbA6rWMs7Rv3cQ3X0yqExm0fbteyG/dxaDe3MzU9lqnpsVjsLv5bdtLvdbx35DiC4GBObsroJYZZc6BwldTkT18v5V3YvIeLkmI05KdIHqUDw7wW43m6dv8mSdqkUdUWx0O0Opo49fhVWMPtWQGIFWK9NlAMlHCHlyA0DRRdomtMI8idtPnNpfmolKNPtfkpMUx3d7E+MhAO8eseYO2R+uwYT0p9d4rWTahRAUEYFr/97W+59957+fTTT+ns7MRoNA55yYSOUEws4aoGGE4owiGReFpRC2oSNJKrPtixWp1Wj2s5NTq0VTaDSdWlokCB2WGmx9Yz9he8EG7XshvPudo/WX9zySQAXv6y3q+bd32nmaPtJxEEgdVTpoxdXZQyBaaeDyrtQMWI2Xvy8OC+ITCoOmgc+QCRmKwhNOGQwaGwcKESVOMO3dlddk8CeDiPaygaKHZbunGIDjQKjVcjuLxBz/5GAxqVgm8s8q+qy9PFelA4ZMzQXU87VG6Q+uyoo6W+O4mTAt6fUBOwYXHOOeewc+dO1q1bR3p6OklJSSQlJZGYmEhS0vg13WUGcF9cHX3BdeUMdSOf0RhvtnUkXMtuPE2egpxY3N+L18SHzbUMUjzYHb4K9rhGwliDoaG7bms3l8/PRatWUNliYm/d2PHh9w42I6iMTE6NYXLS6HLLHuIyRlaM6BtGLDaQTGoAht6sHa7gZNgj8WQ9eP3BTtZ9jj7P5Bn2sY6zeVpnXycuXMSoYohRx4RyaEMYXHXn9pIGylh5Sxv2NwFw0awsUmL90425cNZAF2tDn1S15m6g6LXqrusEHPsA7H1SCXbpxVLfnVOAgA2LLVu2sGXLFjZv3jzk5X5PJnSMt5Qz1I18RsN9s+62BFfK6W8jn1Aw/Ok6UMaKrYYSdyVPsBNLOEtiBzM4dNdubidBp+bSOdmA5LUYi/cPnURQmZiVmxDY06q7YiQ+W6oYqd4ErYeHLDJ3UJWKKIrjLuU02oyevCV3O3Z/6LU6ONAlYHP4/5Dg/t2CDd11mKX9S4pKIkoZOmE0b4zXuxIpYw2Ghu6CYax7QFm/d2zlVP89mkXpcRSlx0pdrCu9hEMG36+ayuHEVnA5ITFP8lRowmeMBUrAhsXq1atHfcmEjvGWcg6+UEMl4eyLaHU0sepYRMSgbtaRerIGSNP2l3LagivljNRkDeNz27uFoCBCYx2kZwHwrf5Ou+8dlJLYfNHQZeZQczMKwcmc3NTAS2JVUVB0LqQVS1UiDbuk7Pj+MrsZ2fGoFAIdPVaaDJYhYw3muHq6xGr97xLb3Wvj2md38+xRJX/cXO33tqKUUeMK3UUib8lNsjZ5XKG7SIWXYOB4tPcFWMqJlLfkvsd5O642h4tDJyXv2LxJgT3QrXeHQw4OCEF6DLbeNsmQOLEVmsqkDzNmwpR1Acvdh5ugZhu9Xs9jjz3GLbfcwq233soTTzyBwWAI9dhkGOcNMIJP1jC+cEgkn1YGl3IG6rYNp9qiN4arsAZCpFzLboarsM7OTWRWTgI2h4s39voWtXr/YDOCykBhaiyTk7KCK4lVKCB/OeQukv5uPwrHN4LDilatpCRLStr16FmE4Fz197rq6LFyzd93cqRZOm9e3tUQUFv5kNwDwlS+PRi3CisEbgTZnDb0Vj0QmXtAUlTSkKq7QOiydHnylrwZwZUtRqwOF4nRagpSAitFv2CmFAbceqydXqsUpvOosPa24Dj6vhQCEQTpfM9bFFSDvnATsGGxZ88epkyZwhNPPEFXVxcdHR08/vjjTJkyJew6Fl9FPDdrS2Dx4CFZyxG4qUDwCZzBupbHQ7Cx63CqLXpDqVAGfbOOpGcFvIfuBpI463C5vCdxvn+oBUFtYmZuwvjP1cyZUla8QgXGJimxzWLwhEM8CZxBhu6G5C35MQG2GS184287qWwxkRarISVKpMfq4JXdI3NBfBFsiMFsN9Nj70FACLmUvy+CDTO297UjIoa1JHYwg1VYAz2uYz0EldXrASkEF6iRXJoVR35KNFaHiy1Hpe3EamKJdrlwNe+nQ18DSo2k6ZIWmqaP4SBgw+Kuu+7i0ksvpba2ljfffJO33nqLmpoaLr74Yu68884wDPGrjftCc4rOgPIswq226A33haa36gOKBwfjWh4vwd6sI+lZcRPsE2skw0vgPXR3yZxs4qJU1Haa2V49shS5sdvM/oYuFCoTM7PjQ6MOmzhJyrvQxILFCBUbWJIinY/u2HewoTuDVcp1GE1t0U2LQTIqjrf1kBmv5eWbF3FujuR2f+7zGuxO/1zwwaqwDimJjZCrPNiHi0g/BEHwDxdjeazcirPz8gLPaxMEwSPx/cGh/nCIvp709mpwWGkXxIGcolOYoDwW9913HyrVgCCNSqXi3nvvZc+ePSEdnIxEMJb1YP2KcKgtekOrGihpDGQSjPSTNQRfyhlJ17KbwW57f+vuI6G26I3hBltMlIrL5+cAktdiMHWdvdz20l4EVQ+FqTpSY2JDVxLrzpKPTQenjcWOPUwVGjnYaMDRP6EPzwnxB/eTuC+1RTcn9X1c/bcdnOjoJSdRxyvfXUphagwL00RSYzU0GSxsONDk1zaDDd1FMmfBzXAVVn+ZSIPdHbrzB4drwBvn6x5QVi9dd3MnJQY1rvX94ZAtlW1YG8rh+CbSFFrQJdKWUQy64NYbSQI2LOLj4702G2toaCAuzrsWusz4CMaynoibyuDt+TtWfxr5hINgSjl77b0DruUw6lcMJ0mbhEpQBRQPjoTaoje8lXJ+c4mUxPnxkVZajVLy5AcHm7n4j59z6KSRhFgzF8zMDL1hqdbBtAsgpYi02ChWaI4zw3GY421S+WUwDcn8ya8QRZFb/rGHuk4zecmSUZGfIuW4qBVw/VIpPPS3bTV+G4rBeNgioQ47HH8bKA7G4rBgsA0tBY4EwVTddfR14MJFtCqaWE3siM+7e23UdkpeJbfqa6DMzk0gL0HDHMcBjpdvBSA9cx6kldJt7wlJA8VwE7BhcfXVV3PzzTfzyiuv0NDQQGNjI//5z3+45ZZbuOaaa8Ixxq887sm6y9KF3TX2SRUptUVvBBpj9aeRT7gINMTgvlFGoiR2MApBEbBxGe7+ML7wpsJanBnHooIknC6RF3fU8eA7h/ney/swWR0syE/il1/LJS85OjznqkIJhStR5C0kN0nHVMVJ2va8A3ZLwKE7f9QWAY62mqhoNhKlUvDKd5aRmzQ0ge+aRXlEa5RUNBv5/Lh/YZhAf3+TzUSfoy8iujDDCfS6ci+XGJUY9pLYwQwO3fnrtfI3DDI5LWbM5pA+x2Xv44e5xykQWjh00giTlhE9ZS1xUfEhaaAYCQI2LH7/+99zxRVXcP3111NQUEB+fj433ngjX//61/ntb38bjjF+5RkSDzaPfSOKlNqiN9wXqvvGNhaDy+HCXRI7nECfAiOdszCYQMcaKcVVb3jzBLi9Fk9vOc4L22sB+O6qybx4ywJQSqGosHrXMmdhL1yLAyUdLfVQ8S5amzmgUs6x1BbdfNzfoXLl1FSyE0d6ixKj1Vy1UFJj/Nu2E34NP9DQnXt/UnWpQffuCZZAGyhOhGfFTaB6FmPdA9xhkGDyKwDoaYOKd1mS7sQmqvlbSxHW5KlA4MZlsOJvoSDgO7lGo+EPf/gD3d3dlJeXU1ZWRldXF0888QRRUZGzNr9qBFIeN5EToEapCUjaN1LKoN5I1iajFJR+lXKKoug59hM5WXf0dYzZlTOSaove8Ja7cMHMTJL6n+ASdGqevWEhP1tfitHWHbGS2MIppXzkXERltyApdVa+R7pD8gD6M7EMPldHy1v6+IiUdHfe9Eyfy9x8ViEKAT6r6uBI09iy0kNCd35cVxORs+BmuArrWExU2BZGNlAcjSF5Sz7uV+7k4HnB5Fe0H4OjH4DdzKScXPZFr6DaEs/245LnL5CHC5PNxPs171PVXTXu7tjBEPQjYnR0NLNmzWL27NlER4e+bbTMUDJipIuuxlAzqifA6rRyXH8cgMwY3ze2cOLebmVX5ahJUV2WLpp7m4d8J5IoFUrPDaKiq2LUZWuM0nGfiJANDJX2rdJXjbpsRae0L8lRyRF1LbtJj05HQKDL0kVLrzTJatVKnrh6Ltctzef9O1ayrjQDURQ50nkEGDi/w8m8SYkYieEf3TOxxGSBy0FG23HorqfOUDtqxYXdaaequ2rMsZ7U93HopBGFAOtKfRugecnRrJ8lJen9/TP/vBbua+Ro99FRjUuD1UBTj5QYOhGTtUJQeCZB97noi3pjPT32HpSCMmIlsYOJ08QRq47FhYujXUdHXbaiqwIRkXhNPNHqkXOeyyV6QiHu8ma/cLmgfifUfQGiC5LyUZRexMpZkwFJ5wWk60qBAoPNwMme0Zv7lbWVYXVaae5tjljy/mACNiwsFgv/7//9P9avX8/ChQuZP3/+kJdMeMiNzSVZm4zdZae8rdzncgfaD2Bz2UiMSiQvzr/mN6FmWtI0opRRGG1GjnUf87qMS3Sxr1XSPcmPy49YSexwZqbORECgwdTgmQSHY3VaOdh+EIDpKdMj7loGKR48K3UWIN2se+29Xpfr7Ouk2iApO85KmxWx8Q0mWh1NUWIRIN3g3E+Ca4rT+fVlM8npDw/UGGvotHSiElSUJpeGfVwZ8Voy47VYRRX7NQshczZZmnjSzN04Wg+yr/lLn9892HEQi9NCnCaOgvgCn8t90t+ZcmF+8pg9Ir6zSpo43t3fRJN+7LBhUWIRWqWWHnsPlV2VXpcRRZG9rXtx4SInNifi+RVuZqTMQIGCpt4mn5Og3Wlnf/t+AEqSS4Iuid1U0cp/dvnX7M4bM1NnAtKDkK+mZHqL3mNYzk6d7XWZEx29mCwOtGoFJZl+FjLYzFD1EbT1G2DZ82DyWlCqubC/OmRjRSt2p4soZRTTkqYB0nXlK9+u3lhPq7kVpaBkfvrEzMkBGxY33XQTv/vd78jPz+fiiy/ma1/72pCXTHgQBIEF6QsQEGjsafQ6CbaZ26g11gIwP31+xHMW3GiUGuakzQF8T4LH9cfptnajUWiYneb9Qo0ESdokr5PgYAYba1OTpkZ6iB4KEgpI16XjEB2UtZWN+NwlutjXNmCsTUTIxs2M1BnoVDqfk6DFYfEYazNSZ3h9AgwHHqGskwbIXQCTVzM/Nh+FxUBz9cc0th0a8Z3Bxtr89Pmjaq24wyDnTh/bUzA7N5Glk5NxuESe+7xmzOXVSjXz0ucBvifBGsOAsTY3be6Y6wwXCVEJFCdLAk6+JsHBxlpxUnBiTw1dZr774l5++uZB/upnvspw8uLyyIzOxIWLstaR15Uoiuxt24uISE5sDlmx3pvkufMrZuckjtkmHfDkU2BqkSS5i9ZB9lyPkubiwmRSYjTozXZ2npDCIaUppcSoYuhz9HG44/CIVdqcNo+xVppc6rVyJRIEPPO89957vP322/zlL3/hwQcf5IEHHhjykgkfidqBiW1f674hk6DT5fRMKlMSpkzYk4qb/Ph8zyTo9ky4MdvNnotiVtostCrtRAzRw2iT4KlirLmZlzEPBQqae5tpMA1Vb6zqrkJv1U+4sQagVqg9E9vRrqMjJsHBxprbsIsEcwY1JAMgeTLxM/6HkrgCsFsoP/gS9raBc2CwsVYQXzCqsWYw29l5Qipb9MewALh1peS1+O/+Jr+euHPjcsmKycKFa8R1ZXFYONBxAJCewiNlrPmiJLmEWHWs10lwsLG2IH1B0MJ4T22uwtGv6PrbDyv58JB3r+NYzM+Yj0pQ0dbXRq2hdshnJwwn6LJ0jWmsBZRf0VbhyadAlwglF49od65UCJzfL5b1fn/vEJVCxfwMyQtxXH/c0wvIjdtY0yljaWxNxOlD7TbcBHyXzMnJkfUqJpDpKdOJVkXT6+gdEr882n0Uk82EVqn1uMwnGvck2GJuGTIJlreV4xAdpGpTKYwvnMARSqgVA0+CR7uOehI5nS6n5+Z9KhhrINXelySXANJxdNe0m+1mT77CqWCsge9JsLW3lTqTJJYVaWNtQNp7ULJudDLF828mNi6LPqeVw5VvQN0OcDkDMtY2H23F6RIpzoijINW/RNQVRamolQLtJiuN3WOHQwDmpc9DJaho72sfMgnub9+P3WUnKSoposaaL1QKlee6GjwJukQXe1v3ApKxFmyCaW1HL2/sk8Isa4rTEEW465VyTwOwQIhRx1CaIoXjDnQc8JQf9zn6ONghedbGMtbKB0l5+8TpgJptUk6F6IKkAsmo8CF65RbL+vhwi0fYLTMmk9zYXERE9rXu8xikHX0dnDBIXhuTPo9b/7mPK/78hT+7H3ICvqIfe+wx7rvvPurq6sZeWCbkqBVq5qbPBeBY9zEMVgMmm8nzpD0nbU7E5HvHwtsk2NTTxMnekyhQMD9j/oQkFnkjJzaH7JhszyQoiqJkrNlPLWMNBp4ELU4LR7okY2J/x/5TylhzMz99/pBJ0OlyesI4RYlFETfWZuUmIAhSkmWbyeJ5X6WJYd6s6yAxj+OWDrqbyzAfeZsj/QbRrLRZYybCustMz5vhf8KkVq1kRraUX7SvfuwKCvA+Cbb2tlJvqkdAOKWuq8yYTPLi8oZMglXdVRhsBqKUUePyrP1xcxVOl8ja4jSeuX4hq6al0Wd3css/9niE2AJhWtI04jXxWJ1WDnVKIbGDHQf9MtbMNgeVLZJXzmdHU4tB6l3TWS2FO3IXwZS1o3YmXTI5mcRoNZ29NnbVDoh4zU2fi1qhpsvaxQnDiSE5awXxBby7TypJXjk18lVBEIRhsXDhQiwWC5MnTyYuLo7k5OQhL5nwkxObQ05MjmcSLGsrwyk6yYjOYFL8pLFXEEFKkkuIU8dhcVooby/3TCrTkqZNWMKmL9xPgh2WDg51HPIYa3PT5p4yxhpI1SzupKzjhuOcdJykqbfplDPWQErknJ4yHZAmwYMdBz3G2syUmREfT2yUimnp7k6nQ59sM2OzmJS3AjGjlL2WVso6DuBo2keqkzGNNYvdydZjUjnqaGWm3liQL01Ee+v8Myyg//rRJGB1WilvKx9irE1E1dJozEmb45kED3YcHPCspY5trPmiur2Ht8skb8Vd505DpVTw9LXzmJoeS4vRwi3/2EOfbfSy7OEoBAULMhYAUGus5aTjJA09DQgILMhYMOp1daDRgEuErAQtmQlevIVdJ6R8ir5uSRF26vlSw7wxUCsVnNcfVhsc5tGpdJ7r52DHQQ52HPQYa3FMZnt1J4IA31g8MQn8ARsW11xzDSdPnuTRRx/lqaee4oknnhjykokMc9PneibBic4AHg2lQulxh9YaazE7zMSoBp64TiUGT4KV3ZUeYy0vfmIuztHIiMlgUpxkRDY5pdLCU9FYA5iaNNUzCbpLZeemT5yxNidPOkblDSMn8tlps1HHpNOdVkST4ELhcjLf2IHQuEcqC/TB9uoOzDYnWQlaZuYEJkoXjGGhEBSeWHu9qd5jrM1ImRHQtn3x920nuOLPX3DSj2qVsdCpdB6P39HuozhEB2m6NAoTgves/XFTFS4RzinNYHa/dHa8Vs2zNywiOUbDwZMG7nmt3GdHXV+k6gY8fu7rqiixiCTt6IJXPstMXU4prHZiKzjtEJcJpZdCvPcEUG9c2F+W/MGhliH7MyVxCslRUqWgu/pudups3tgrec7WFqePUH2NFAHXzW3fvp0dO3YwZ86ccIxHxk/ck6A7WaskuWTCMoDHwj0J1pukHjPz0udNSMmmP0xNmkqdsQ6DzXDKGmtu5qTNodHYCHDKGmswMAluadgCQGZ05oSVQgPMzUvi1T2NIzwWMDAJ7mvbBxmzmOZwkmCxQOsh6G2DwtUQNfI6c4dBzp2eEbDHaH6/67yi2Uiv1UFMlH/XhnsSrDFKFSWhMtZ2VHfy6AcViCI89O5h/nrdwnGvc3LCZGqNtXRZujyetWCpajXxzn5p0r/znKFVWpNSovnrdQv45t+/5P2DLbw+rZGrFgV2rs1Om02DQcoJ89dY8yhuDk7ctBjhxKdg7u/qmzUbsuaBIrDn+RVTUonTqmg3Wdlb382iAskjJQhS2GtT/SZERNJ0aWRG5/Ha3k0AfHPJxHmvA/ZYlJSU0Nc3fitWZvxMTZoqlT/FZAVdrhUp5qTNIUWbwtTEqT7LtU4FFIKCRZmLiNfEMzd97ilrrIHUTXZ++ny0gpYFGQtOWWMNpElwRsoMkqKSxjWphAK3x2J/g97rE+3khMlMiptERmwmpdOv7I+Da/rLA98B/dAmjE6XyCcV/fkVAYZBADITtOQk6nCJ0pgCYXbabFK1qUxJmBISY81osfPj1/bjLlD56HArn1f531beF4IgsDBjIQmaBGanzR5Xq4EnN1UhinD+jAxm5oz00C0qSOaHZ0v5EO/1i0sFgkapYUHGArSCloUZC8c01kRRpMyTuNnv2XCHPsydoNLC1HMhZ0HARgWARqXwVBm9P2x/krRJzEqdRWJUIgsyFvDBoWb0ZjvZCVrWFE9cuXnAe/m///u/3HPPPXz66ad0dnZiNBqHvGQih0JQsDx7OWflnBV0uVak0Kq0nD3pbE/i6alMkjaJ8wvOZ3LC5IkeypjkxuYySzNrQiTRA2V6ynTOyT8n7NLdY1GcEYdWrcBkdXCiY2TfDUEQWJK1hFW5qyRjLakASi+B6BRwWOH4Jsm97ZTKvcvqu+nosRGnVbFkcnD5DfODCIeANAmunbQ2ZMbag+8c5qS+j7xkHVctzAXgV+8exu70r634aCREJXBewXnj0oKpbDHy3gFpcr3znGk+l7ugv0xzx4lOzLbAe2ZkxWQxSzPLL+XSZoOFNpMVpUJgVmY01HzWH/qwQWwGTL8UEnIDHsNg3GJZHw4LhwAUJxdzbv65xGnieHmnZPR+Y/EklIqJy7UK2LC44IIL2LFjB+vWrSM9PZ2kpCSSkpJITEwkKSnIxisyMjIyEUKlVDArx51n4WdpojYeSi6CjP6Eu/ZKqHwXzF183K+2ua4kHbU/wkheWNDvQt/rZ2VIOPjgYDNv7juJQoAnrprLL9ZPJylaTVVbDy/uODWqAJ/cKOXoXDQri9Is316Pqemx5CTqsDlcnl4b4cLtrVia4UR3fAN0HpeqPrLmwLQLQDN+Q3rl1FRiNEqaDRb2N+q9LnO0xcSeum6UCoGrAwz/hJqAfadbtmwJxzhkZGRkIsbcvER213ZT3tDN1xf4+TSpUELeIojPhtrPoE+PWPEuVQdFII1zgwiDuFmQL3k69tV143KJKCL8tNlmtPDztyS9httWT2Fhfxz/x+cX84u3DvHEJ8f42tzsMWXKw8mxVhMfHm5BEOCOc0b3egiCwNkl6by4s47NR9s4x0/BsmAor+9iulDL12MNYM0CTSwUrpQSNUOEVq1kXWkG7+xv4oNDLV5LWv/1pWT8nVuaQUb8xOrYBGRe2+12HnzwQbKysli9erXXl4yMjMypzhxvQln+kpAD078GCXm0Gc1kGg9wjmo/qwuDz8AvyYpDp1ZitDiobh+7LXooEUWRe984QLfZzvSs+CEhhm8smsT0rHhMFge//3j0Jl3hZnOl1NVzbXE60zLGFmk8u0TKMdhS6V/79qCwmlAc/4g5imryk7RS2Gz6pSE1KtysnyWt8819JznWahrymdnm4M1+sbBvLp14yYGADAu1Ws2hQ4dOqTp5GRkZmUBxlwVWNBux2APTOwD6tQjOYVNPIU4UnJVuJfZ4v/hREKiVCk9SaaB5FuPlX7vq+fRoOxqVgieunotGNTAtKBUCv/qaVBXxn90NQalahopdNZJA1PIp/omqLZuSglatoNlgobLFNPYXAqX9KI6Db2PuPIkDJakzz5YSfVXh8eqsKU4nPyWajh4rX3v6C94qa/R89u7+JkxWB/kp0ayYEvkuscMJOCB4/fXX8+yzz4ZjLDIyMjIRISdRR2qsBodL5HBT8Enn/66N5UPnYqYUFEjJejXbpOROe+CVc8HoWYwXg9nOI+9JrQHuPb+YYi9dORcVJHPpnGxEUUruDNvT/yi4XCJ7+pUnFxf6lyCrVSs9k6zb2xESbL1w7GOo206L3kSzM4Ev1CvImxpeCQatWsmb31vOyqmp9Nmd3PXKfn725kEsdicvfyklbV67eFLEw2jeCDjHwmaz8cwzz7Bx40YWLlxITMzQxJTHH388ZIOTkZGRCQeCIDA3L5FPKtoob9B7JvVAaNL3cfCkAUGIoWTNJdBzFJr3S+WoPW0waSkk+y8C5TEsIpjA+dnxdsw2J5PTYrhphe+x/mx9CRuPtLKnrpt39jfxtbk5ERsjwNFWE0aLgxiNkumjJG0OZ21JOpsq29hc2cYP1oagf0rHcWj4UjIiFUr2OYv4xDWJNfnpEfHkp8RG8cK3F/PU5ir+sKmKf++q58sTnZzo6EWjVPifLxRmAjYsDh06xPz5UmnTsWPHhnwmh0hkZGROF+bkSoZFoNoRbj4+LEksL8xPIi1eB/FzpQ6VNdsk6eYTn0p6BpOW+lUZMK9fA+FEey/dvTaSYjRBjSsQPjsmaVSsLU4f9Uk3K0HHbaun8MQnx/j3rvqIGxa7+70V8/OT/GtJ3s/a/jyLsvru8R1Tq0kqMTZKeQzEpEHBWWw+VgM0eX67SKBUCNx5zjTmT0rizlfKOdHRC0glthOZXDsYuSpERkbmK8nc/hLP8iANi4/61TbPnzEoUS86WZJsbi6HloOS98LUDDkLIXF0XZSkGA1T0mKobu+lrKGbs0vCV8kAUtLmZ1VSf5NV08bWQbl4ThZPfHKMffV6LHYnWnXktHPc+RVu1Ul/yUnUUZIZR2WLia3H2rlsXoAGkeiClkPQVAYuh1QZlDUHMmaBQhFYq/QQs2paGu/dfhZ3/Lucw00GvrPq1NHdiVy/YhkZGZlTiNk5iQDUd5np6rUF9N3uQd0mhxgWIKkr5syXRLVi0qQeEfU7EI59gNoxesVHJPMsqtt7aTJY0KgULPZjwp6cGkN6XBQ2h8vvTqyhQBRFj8ciUMMCBrwWgeZZaBwmhKPvQ+NuyaiIy5KqgbLmgEJBZ4+Vuk4zMFBlFGmyEnS8etsyyu4/z6sK6UQRlAbw7t27ee2116ivr8dmG3pBvvnmmyEZmIyMjEw4SYhWMzk1hhMdvexv0HsmIH/YVNmG0yVSmhVPXrKPMtPoZElUq70STu6F3nay9IcRTk6B3PmgGumWnz9J6mMSCcPC7a1YXJCMTjO290EQBJZNSeG/5U3sqO5keYSqD+q7zLQaraiVQlCegbNL0vnLp9VsPdaOw+kaO5TisCI07iFLvwfMMyEqWmpxnjpUO8Pt6SpKjyVBN7HdjwdX8pwKBDya//znP6xYsYIjR47w1ltvYbfbOXLkCJs3byYh4dSxmGRkZGTGwl12Gmg45KP+/IrzxhJeEgRIL4UZl0PiJAREqaHZ4bekRMBhFRZuj8X+BkNIZLRH47P+HiArp/pvILhLPXdUh1fNcjDuMMjs3MSgwi/z8hJJ0Kkx9NnZ16+S6RVRhPajcOhNaJMqZUgulH671JGCXG7FzXkT5K04lQnYsHj00Ud54okn2LBhAxqNhj/84Q9UVFRw1VVXMWnSxAtzyMjIyPiL24X9ZY3/E6XZ5mDbMelpf0QYxBeaGMTJa2mLnyXJg9vNknpn5XvQO9Dka0paLPFaFX12J5XNYdBe6MfqcHqMg5VT/e8zs2yyZISUN+iD6sERDOMJg4Ak4b6mWNpHn+EQU6vUNKxuOzgsoEukNWEuYsEqSbPEC2UN7o6mciuL4QRsWFRXV3PRRRcBEBUVRW9vL4IgcNddd/G3v/0t5AOUkZGRCRdnl6QjCLDzRBcn/FS83HasHavDRV6yjtKssRUgB9OnSUUsuRRyF4JSDb3t0oRW8xlYe1AohEENyboC3h9/2Venp8/uJDU2ihIv2hW+yEvWkZOow+ES2V0bmTwL93YWFwY/gQ9W4RyCu7X50felTqRKDeQtQSy5BIva9/acLpFyt8diAhI3T3UCNiySk5MxmSRLOicnh0OHDgGg1+sxm82hHZ2MjIxMGMlLjmZtf3vpl3bWj7G0xMfuapDpmcGV2CuUkDkLZlwBKVOk9zqPw+E3oWE3i3OlnI29o7ntx8m2/vyKlVNTAxJUcudZQGTCIW0mCzUdvQjCQD+VYFg9LQ2FIOlhnNT3gc0slY8efgu6aqSF0oph5v9AxnQQRp8aq9pM9NqcxGiUfsmLf9UI2LBYuXIlGzduBOCqq67ijjvu4NZbb+Waa65h3bp1IR+gjIyMTDi5blk+AK/tbRjTvW93uvikQjIszvM3DOILTTQUroKSi6WKA5cTWg9xrutzZgg17K9tH9/6R+GzQYZFoCyb3G9YnAi/YbG7RvJWFGfEjStBMjFaw/xJSahxsP/LzXDoDSmpVnRJLc2nfw3yl4Pav+Zd7vyKOXmJE9qe/FQl4KqQp59+GovFAsDPfvYz1Go1n3/+OVdccQW//OUvQz5AGRkZmXCyemoa+SnR1HWa+W95E9cs9p0r9uWJLowWBykxmqDUOr0SmwbFF4DhJJzcwyRHB3MUx+gzNdJelURa4RyvFSTB0tlj5dBJScb8rKIgDIt+j8XBRj1Gix1dGOUsdgco4+0Th5UrczrJb9hO21EtpBRIpcA5CyA+K+DVldW78ysSxzeuM5SADYvk5IEfWKFQcO+993LvvfeGdFAyMjIykUKhEPjWknweeb+Cf+6o4xuL8nyGONzVIOdOzwj9k2pCDsRnE9VdQ0JiM6K+i+YjX5DWc0yqLEmf7vcT9Wh8flxKFi3JjCM9iPba2Yk6ClKiqe00s7umi1VF45z0R8FdERK0YWHvg9Yj0F7BqlgT5YKd8vYoLJPWoE33X259OAMVIXLipjf8DoUYjUa/XjIyMjKnG1cuzCVKpaCi2ehTQ8LlEtl4xIvaZigRBEiejHnqpex0TeeoXiH1pWjeDwdfg4bdYB1fW3V3melqP9Q2fRGJPAujxU5FizSn+CPgNQSrCeq/lI5ZywFw2snMyKI6ZgFv2xfzRWfwLe4NfXaq2qTfYK7ssfCK34ZFYmIiSUlJPl/uz2VkZGRONxKjNVw6JxuAf+6o87rMgZMGWowWYjRKlhf517o7WOYXpFAjZvGicR5MXiOJbbkckgbGodehejMYmwNe72AZ70DKTIezNAJ5FnvruhFFyE+J9s+zIopSOKnqEzj4OrQdkfJWYtKgaB3C9K9RPH0OIPBJRfDdTg806gGYlBxN6inSm+NUw+9QyOAeIaIosn79ep555hlyciLbjEZGRkYmHFy/rIDX9jbywaFm2k3TSYsbmDTsThd/33YCgDUl6USpwtsnY2H/E/rhZhPm2DyipxeCoVHqW2Fqhu466aVLhLRSqbpEOXZyY1VbD61GK1EqBQsLgn8QdHssjjQb0ZvtQa9nNPzuD+KwSVU17RVS+aib+BzInAnx2Z631pWm8+LOOjZXtiKKM4Oq6imTy0zHxG/DYvXq1UP+ViqVLF26lMmTT53GJzIyMjLBMis3gbl5iZQ36PnPrnp+tE5SWzRa7Pzg5X18VtWBIMC1oyR3horsBC2Z8VpajBb2NxikiTwhV3r1dUNbpTSZ9umhfofUzyJxkmRgxGVL/Uq84Bb2WjI5ZVxNxNLjtBSlx3K8rcfTMyXU7HbnV3gzLFwuMDZCZzUYGiTPBEg6FClFkF4C2pFK0EsnpxCtUdJqtHK4yRhUfw1P4qasuOmTU0tgXEZGRmYCub6/9PRfu+pxOF00dpv5+l+281lVBzq1kr9dt5AVQVRSBIogCCwo8CGUpUuC/GUw+2rIWyJNoC6H1KK9aiMcfBUadg1R9HTjzq9YFUSZ6XDcZac7a0IvlGWxOznQaABgkTtxUxShpw3qd8KBV+D4JuiulYwKXRJMWgazr4JJS7waFQBatdJTCbMpiHCIKIqDOprKoX9fBNWETEZGRuZMZP2sLB5+r4Jmg4U/bKri37sa6OixkhEfxbM3LIpoB8mF+Um8d6DZd0MylUYSc8qYDj3t0FUtiT3Z+6D1sPRSR0NiHiTkYdGle6TLx5Nf4WbZlBRe3FnHlye6WDhl3Ksbwv4GPTani4wYJQXKdqgtk0JB9r6BhdQ6SJ4MyVMgxv+cl3Wl6Xx8pJXNla3ccc7IHiCjUdtpRm+2E6VSUJoVH9B3v0qMy7AISnVORkZG5hRFq1Zy9aI8/vJpNU9tPg5AaVY8z924kKwE7z0jwsXgFuoulzi6QmZsmvTKXQzGk1KYxNAo9SRpPwrtR2no6GOJU489Np1psX3givEZMvEHdwLnsbYeTKGKDrmcYO7kxKHdrFGUcW6KiFA9KElVqYaEPCncEZcV1PjdSqv7Gw20mSykx/lfcruv38iblZNwynUUPZXw27C44oorhvxtsVi47bbbiImJGfJ+uNqmP/LII7z33nuUl5ej0WjQ6/Vh2Y6MjMxXm28umcRft1bjEmFtcRpPXTuf2KjIO3dLs+LRqZUYLQ6Ot/f4Jx2tUEgeisQ8aZI2NUsGhr6B4y0tZAsdzE9zIlS+BwqVVDERmw4xqVI4QRMrlbz6QXKMhpLMOCpbTBw3BPGQKYpSWWhfN5g7pDBHbzu4nPTV1pIlmChMyYKoOMmYSMyD2MxxGUMA6fFa5uQmsL/RwJbKNq5e5L9VNNB4LHFcYzjT8ftqGd4S/Vvf+lbIBzMaNpuNK6+8kmXLlvHss89GdNsyMjJfHXKTonn8qrm0mSzctKIQlXJinkzVSgVz8xLZcaKTvXXdgfekUCgHEj4nLeXZT96j11XHJQUpoHKCwyoZHqZBHgGFSqo00SZKeQqaGCmcotZJ/x+mALpsSgqVLSaqjD4MC4cN7L1SCMNmlv5tMUhJpxb9QNLlIJyKKHZ0RNPgyuSGxRdDYV5g++0HZ5dksL/RwKaKAA0LT0WInF8xGn4bFs8//3w4xzEmv/rVrwB44YUX/P6O1WrFarV6/nYLeNntduz20JRIudcTqvWdCpyJ+wRn5n6difsEE79fF82U3OWiy4ndy+QXDMHs09y8eHac6GRXTSdfnxe49LSbVqOFPW0gCPlMWbIGe7RamuB72xB6WiWvgcUATivYW8HY6n1FCpUUjhAUoFBxqaqHRkU9CQYR16E+HApBSiQVXeC0S/8eDYVSMmJ0SYgx6RCbzoEO2Gj7knitioLsjLCcA6unJvPEJ5IKaY/ZQtSwChlvv5XZ5qCyRWrAOTMr9rS85sZ7Xfn7PUEURTGoLUwQL7zwAnfeeadfoZAHH3zQY5AM5l//+hfR0cErr8nIyMhEgiPdAn+tVJKqFfnlvOANnC/bBP5VrWRSjMg9s32sR3ShcvahcZpRO3tRO80oXTaULitKlw2FONJIsLng7VoFInDJJBfRXh5VXYIKpyIKp0KDQxGFQ6nDpozBrorBodCNCL1sbhL4b52SGUkuvlPiCnqfR0MU4YG9Sgx2gdtKnJQmjT0NlncKPH9MSaJG5FcLQmNsnm6YzWauvfZaDAYD8fG+k1fP6KqQn/3sZ9x9992ev41GI3l5eZx33nmjHpRAsNvtbNy4kXPPPRe1Ovjue6cSZ+I+wZm5X2fiPsGZuV/B7NOKPjt/fXQLHRaBJavWkRKk0uPHrx4AWrh44RTWn1MU1DpwOaSQhsvR/3KC6OSv/9zN0bZelk2bxoVz8iQvhEIlvdQ66f8B8M7LZUA7Fy0uZv1ZwffzGIsdjiO8sqeRnoQC1q8vHfKZt9/qH3/fBei5dtk4juEEM97ryt+2HRNqWPjyKAxm9+7dLFy4MKj1R0VFERU18kJUq9Uhv1mFY50TzZm4T3Bm7teZuE9wZu5XIPuUqlYzLSOWY6097G/q4fwZsQFvz+kS+aK/p8fZpRnjOJ5qiBpZGTNlWi+bWmv5tE3Hpcnjy4dwuUT21OkBWF6UHtbf/rwZmbyyp5EtRzv49WUqr1WO7t9qX303++r1aJQKbjyr8LQ/J4O9rvz9zoQaFj/84Q/5xje+MeoyBQUFkRmMjIyMzCnIgvxkjrX2sK+uO6jmZwdPGtCb7cRpVcwNg1rksskp/O2zWnac6EIUxXHJEBxrM2HosxOtUTIjO7w6EcunpBKlUnBS38fRVhMlmb639+znNQBcOjc7oPLUryoTalikpqaSmhp+FTsZGRmZ05UF+Un8e1c9e3wJZY3B1qOSjPeKKalhqXBZMCkRpSDSbLBQ12mmIDVm7C/5wN0fZEF+EuowV+PoNEpWFKWyubKNTRVtPg2Lhi4zHxyUKmduDmNo5kzitFH4qK+vp7y8nPr6epxOJ+Xl5ZSXl9PTM74WwjIyMjKnMgv7hbIONhqw2ANPGtzW3810dfH41Ta9odMoKeiP0HxRPVJGPBC+HK0/SBhYVypV/2yq8FEFA7ywvRaXCCunpspqm35y2hgW999/P/PmzeOBBx6gp6eHefPmMW/ePPbs2TPRQ5ORkZEJG/kp0aTGarA5XRxuMgT0XYPZ7mmatWpaeAwLgGkJUvXG9urg26iLoujxWCwujIxhcXaJZFiUNei9HluTxc4ruxsA2VsRCKeNYfHCCy8giuKI15o1ayZ6aDIyMjJhQxAE5vcLMu2pDSwc8kV1By4RpqTFkJMYPknyqQlSuebO6k5cruAUDGo6emk3WdEoFcyJUOfQrAQdq6alIYr8/+3de1DU5b8H8PcusMt95Q6LglwUUfAGpphl/uxnKTaaZzpqXvAwnvOzo4XZz1Rswl8/FWfOHKfsYic1ptIOTkd0LGsSb6BdpFAS0RADUfGypSkoAsJ+zh/I5oIa6nd3/a7v18zO5Pd53J73LLofn+/zfR5MW1eEY+frrNo/K67BlcZm9Aj2xnAbFmbORjWFBRHRwyr5xkmnd7vOou2Y9OE9gxUf080ivQFPnQsuXG1Cebsv585qm63o363LfR3pfrfenjwAfbsacPFqE55fsx/HTa2311sE+Oi7kwBaZyt4NlbnsbAgInrAJUW23ho4UP07OrunoYhYCovHe9p2kbyrFkiO7ALg3m+HtBUWg6PtcxukjcHDDR+nP4LeYb747Uojnl/zPU5cuIpDFzQ4c7kBAV46jB8QbtcxqR0LCyKiB1xCuC90rlpcuNqEExfqO/V7jpuu4MzlBuhctRgc1fljxe9Vyo3TTr89fm8LOPfbeX3Fzbp46rB+5mDEhfjAVNeIaR/+iK9rWr8epw6JtOsMijNgYUFE9IDTu7qgb3jrQZA/nrjYqd9TcGO2YnCUPzx0tv9iTLkx07C/6iKaW+5uK+7Tv9ej5tI1uGj/WE9ib/5eOmz498GIDfbGudpGnK3XQOeqxdQhkQ4Zj5qxsCAiUoFBN/4l//mhs3/Ss1VhRevMgb0WHcaH+sDg4YYrjc04VHN3T6/8cKNYSgg3wMsBR9S3CfTW49OZg9E9oPUsqXH9whDkc2/bqD/MWFgQEanA5EERcNFqUHjsV5ScunTHvg3XW7C/snWtg70KC61WY7kd8t1drrOwrK9wwG2Q9oJ93fG/Mwfh2e4tWPhUT0cPR5VYWBARqUBEgCeevbGI8O2dFXfsu7/qIhqbzQgzuCM2+O7PF7lXQ2NbC4tv7nKdhb03xvozgd56PBEm8PVQ95kgjsLCgohIJWaPiIVWA+z82YTDd7jdYHkapEeQXR+THBrT+vTJj9W/d3qXUFNdAyp/vQqNBhj0gBQWdH9YWBARqURUoBfG9W+dtVh1m1mLmkvXkHfgNADb7rZ5KzFBXgj20aOp2YwDndxz44eq1n5xIT4weHKGwBmwsCAiUpHZI2Kh0QDbj5zHkTO1Vm0N11vwt09+xO/115EQ7osne9t2Y6z2NBoNHo1tnbXo7H4WRVWt/YZE2/6RWLIPFhZERCoSG+yNsX2NAIC3d/0xayEiWJRXisM1tfD30uF/piVD72r//RdSYm6ss+jkgWSO3L+CbIOFBRGRyrz4l1gAwFeHz6H8XOsW2h9+cwKbD9bARavBu88PtOnZIHcy9EZhcej0ZdQ1XL9j30OnL+Hnc3VcX+FkWFgQEalMzxAfjEkMBdA6a/Ht8d+w/MujAIDFY+ItswaO0NXPE5EBnmgxC3b9bLptPxHB0i9ax/xs/3DuF+FEWFgQEanQnBE9AADbSs/ihQ0H0GIWTBgYjn97tLtjBwZYFpgu3XYUl+qbbtnn67JzKDpxEe5uWvz9qTh7Do9sjIUFEZEK9Tb6YlTvEIgAl69dR2K4AcufTXwgTuH8zydiEBPkhV/rGvHG50c6tDc2tyD7q58BAP/xWDSMDrptQ7bBwoKISKVeGtkDLloNArx0eH9a0gNzWJa7mwv+67l+0GqAvIM12Hn0vFX7J99Vo/pCPYJ89Pjb8BgHjZJshYUFEZFKJYQb8MWLw7DtpccctljzdgZG+GHmY9EAgMzNpbhc37qQ8+LVJrx1Yw+O+aPiHHo2CNkGCwsiIhWLD/NFqMHd0cO4pXl/7YnoQC+cr23EP7e13hJZtbMCdQ3NiA/zxb8kdXXwCMkWWFgQEZFNtN4S6QuNBvi/4tNYu7cSn3xfDQB4LTUeLlrHrwch5bGwICIim0mK9Ef6o1EAWp8SaTELnowPtuzQSc6HhQUREdnU30fFoXuAJwDAVavBojHxDh4R2RILCyIisikPnQv++1/7I9Bbhzl/iUVMkP2Ocif743JcIiKyuaRIP/z42l8dPQyyA85YEBERkWJYWBAREZFiWFgQERGRYlhYEBERkWJYWBAREZFiWFgQERGRYh6qx01FBABQW1ur2Htev34d9fX1qK2thZubm2Lv60jOmAlwzlzOmAlwzlzOmAlwzlzOmAm4/1xt351t36W381AVFnV1dQCAbt26OXgkRERE6lRXVweDwXDbdo38WenhRMxmM86cOQMfHx9oNMocflNbW4tu3brh1KlT8PX1VeQ9Hc0ZMwHOmcsZMwHOmcsZMwHOmcsZMwH3n0tEUFdXB6PRCK329ispHqoZC61Wi65dbXNMr6+vr1P9AALOmQlwzlzOmAlwzlzOmAlwzlzOmAm4v1x3mqlow8WbREREpBgWFkRERKQYFhb3Sa/XIysrC3q93tFDUYwzZgKcM5czZgKcM5czZgKcM5czZgLsl+uhWrxJREREtsUZCyIiIlIMCwsiIiJSDAsLIiIiUgwLCyIiIlIMC4v78N577yEqKgru7u5ISkrC3r17HT2ku1JYWIhnnnkGRqMRGo0GW7ZssWoXESxZsgRGoxEeHh544oknUFZW5pjBdlJ2djYGDRoEHx8fBAcHY/z48SgvL7fqo8Zcq1evRt++fS0b26SkpOCrr76ytKsxU3vZ2dnQaDSYO3eu5Zoacy1ZsgQajcbqFRoaamlXYyYAqKmpwdSpUxEQEABPT0/0798fxcXFlnY15urevXuHz0qj0WD27NkA1JmpubkZr732GqKiouDh4YHo6Gi88cYbMJvNlj42zyV0T3Jzc8XNzU3WrFkjR44ckYyMDPHy8pLq6mpHD63TvvzyS1m8eLFs2rRJAMjmzZut2lesWCE+Pj6yadMmKS0tlYkTJ0pYWJjU1tY6ZsCd8NRTT0lOTo4cPnxYSkpKJDU1VSIiIuTKlSuWPmrMtXXrVtm2bZuUl5dLeXm5ZGZmipubmxw+fFhE1JnpZkVFRdK9e3fp27evZGRkWK6rMVdWVpb06dNHzp49a3mZTCZLuxozXbx4USIjI2XGjBmyf/9+qaqqkh07dsjx48ctfdSYy2QyWX1O+fn5AkB2794tIurMtHTpUgkICJAvvvhCqqqq5LPPPhNvb2958803LX1snYuFxT165JFHZNasWVbXevXqJQsXLnTQiO5P+8LCbDZLaGiorFixwnKtoaFBDAaDvP/++w4Y4b0xmUwCQAoKCkTEeXKJiPj5+cnatWtVn6murk569Ogh+fn5Mnz4cEthodZcWVlZ0q9fv1u2qTXTggULZNiwYbdtV2uu9jIyMiQmJkbMZrNqM6Wmpkp6errVtQkTJsjUqVNFxD6fFW+F3IOmpiYUFxdj1KhRVtdHjRqFb7/91kGjUlZVVRXOnTtnlVGv12P48OGqynj58mUAgL+/PwDnyNXS0oLc3FxcvXoVKSkpqs80e/ZspKam4sknn7S6ruZcFRUVMBqNiIqKwqRJk1BZWQlAvZm2bt2K5ORkPPfccwgODsaAAQOwZs0aS7tac92sqakJ69evR3p6OjQajWozDRs2DDt37sSxY8cAAD/99BP27duHMWPGALDPZ/VQHUKmlN9++w0tLS0ICQmxuh4SEoJz5845aFTKastxq4zV1dWOGNJdExHMmzcPw4YNQ0JCAgB15yotLUVKSgoaGhrg7e2NzZs3o3fv3pa/DNSYKTc3FwcOHMAPP/zQoU2tn9XgwYPx8ccfo2fPnjh//jyWLl2KoUOHoqysTLWZKisrsXr1asybNw+ZmZkoKirCSy+9BL1ej+nTp6s21822bNmCS5cuYcaMGQDU+/O3YMECXL58Gb169YKLiwtaWlqwbNkyTJ48GYB9crGwuA/tj14XEcWOY39QqDnjnDlzcOjQIezbt69DmxpzxcXFoaSkBJcuXcKmTZuQlpaGgoICS7vaMp06dQoZGRnYvn073N3db9tPbblGjx5t+e/ExESkpKQgJiYGH330EYYMGQJAfZnMZjOSk5OxfPlyAMCAAQNQVlaG1atXY/r06ZZ+ast1s3Xr1mH06NEwGo1W19WWaePGjVi/fj0+/fRT9OnTByUlJZg7dy6MRiPS0tIs/WyZi7dC7kFgYCBcXFw6zE6YTKYOVaBata1iV2vGF198EVu3bsXu3bvRtWtXy3U159LpdIiNjUVycjKys7PRr18/vPXWW6rNVFxcDJPJhKSkJLi6usLV1RUFBQVYtWoVXF1dLWNXW672vLy8kJiYiIqKCtV+VmFhYejdu7fVtfj4eJw8eRKAuv9cAUB1dTV27NiBmTNnWq6pNdP8+fOxcOFCTJo0CYmJiZg2bRpefvllZGdnA7BPLhYW90Cn0yEpKQn5+flW1/Pz8zF06FAHjUpZUVFRCA0NtcrY1NSEgoKCBzqjiGDOnDnIy8vDrl27EBUVZdWu1ly3IiJobGxUbaaRI0eitLQUJSUllldycjKmTJmCkpISREdHqzJXe42NjTh69CjCwsJU+1k9+uijHR7bPnbsGCIjIwGo/89VTk4OgoODkZqaarmm1kz19fXQaq2/2l1cXCyPm9ollyJLQB9CbY+brlu3To4cOSJz584VLy8vOXHihKOH1ml1dXVy8OBBOXjwoACQlStXysGDBy2PzK5YsUIMBoPk5eVJaWmpTJ48+YF/1OqFF14Qg8Ege/bssXqMrL6+3tJHjbkWLVokhYWFUlVVJYcOHZLMzEzRarWyfft2EVFnplu5+akQEXXmeuWVV2TPnj1SWVkp33//vYwdO1Z8fHwsfzeoMVNRUZG4urrKsmXLpKKiQjZs2CCenp6yfv16Sx815hIRaWlpkYiICFmwYEGHNjVmSktLk/DwcMvjpnl5eRIYGCivvvqqpY+tc7GwuA/vvvuuREZGik6nk4EDB1oeaVSL3bt3C4AOr7S0NBFpfSwpKytLQkNDRa/Xy+OPPy6lpaWOHfSfuFUeAJKTk2Ppo8Zc6enplp+1oKAgGTlypKWoEFFnpltpX1ioMVfbngBubm5iNBplwoQJUlZWZmlXYyYRkc8//1wSEhJEr9dLr1695IMPPrBqV2uur7/+WgBIeXl5hzY1ZqqtrZWMjAyJiIgQd3d3iY6OlsWLF0tjY6Olj61z8dh0IiIiUgzXWBAREZFiWFgQERGRYlhYEBERkWJYWBAREZFiWFgQERGRYlhYEBERkWJYWBAREZFiWFgQERGRYlhYEJHdLFmyBP3793f0MIjIhrjzJhEp4s+OXE5LS8M777yDxsZGBAQE2GlURGRvLCyISBE3H8O8ceNGvP7661YnYnp4eMBgMDhiaERkR7wVQkSKCA0NtbwMBgM0Gk2Ha+1vhcyYMQPjx4/H8uXLERISgi5duuAf//gHmpubMX/+fPj7+6Nr16748MMPrf5fNTU1mDhxIvz8/BAQEIBx48bhxIkT9g1MRLfEwoKIHGrXrl04c+YMCgsLsXLlSixZsgRjx46Fn58f9u/fj1mzZmHWrFk4deoUAKC+vh4jRoyAt7c3CgsLsW/fPnh7e+Ppp59GU1OTg9MQEQsLInIof39/rFq1CnFxcUhPT0dcXBzq6+uRmZmJHj16YNGiRdDpdPjmm28AALm5udBqtVi7di0SExMRHx+PnJwcnDx5Env27HFsGCKCq6MHQEQPtz59+kCr/ePfOCEhIUhISLD82sXFBQEBATCZTACA4uJiHD9+HD4+Plbv09DQgF9++cU+gyai22JhQUQO5ebmZvVrjUZzy2tmsxkAYDabkZSUhA0bNnR4r6CgINsNlIg6hYUFEanKwIEDsXHjRgQHB8PX19fRwyGidrjGgohUZcqUKQgMDMS4ceOwd+9eVFVVoaCgABkZGTh9+rSjh0f00GNhQUSq4unpicLCQkRERGDChAmIj49Heno6rl27xhkMogcAN8giIiIixXDGgoiIiBTDwoKIiIgUw8KCiIiIFMPCgoiIiBTDwoKIiIgUw8KCiIiIFMPCgoiIiBTDwoKIiIgUw8KCiIiIFMPCgoiIiBTDwoKIiIgU8/8I7nSFqxiYXwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 600x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 2.5))\n",
    "plt.plot(y[-80:], label='True')\n",
    "plt.plot(y1[-80:], label='Low Frequency', alpha=0.4)\n",
    "plt.plot(y2[-80:], label='High Frequency', alpha=0.4)\n",
    "plt.ylabel('Harmonic Signal')\n",
    "plt.xlabel('Time')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>index</th>\n",
       "      <th>unique_id</th>\n",
       "      <th>ds</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9904</td>\n",
       "      <td>1</td>\n",
       "      <td>9904</td>\n",
       "      <td>-0.951057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9905</td>\n",
       "      <td>1</td>\n",
       "      <td>9905</td>\n",
       "      <td>-0.570326</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>9906</td>\n",
       "      <td>1</td>\n",
       "      <td>9906</td>\n",
       "      <td>-0.391007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>9907</td>\n",
       "      <td>1</td>\n",
       "      <td>9907</td>\n",
       "      <td>-0.499087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9908</td>\n",
       "      <td>1</td>\n",
       "      <td>9908</td>\n",
       "      <td>-0.809017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>9995</td>\n",
       "      <td>1</td>\n",
       "      <td>9995</td>\n",
       "      <td>-0.029130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>9996</td>\n",
       "      <td>1</td>\n",
       "      <td>9996</td>\n",
       "      <td>-0.309017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>9997</td>\n",
       "      <td>1</td>\n",
       "      <td>9997</td>\n",
       "      <td>-0.586999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>9998</td>\n",
       "      <td>1</td>\n",
       "      <td>9998</td>\n",
       "      <td>-0.656434</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>9999</td>\n",
       "      <td>1</td>\n",
       "      <td>9999</td>\n",
       "      <td>-0.432012</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>96 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    index  unique_id    ds         y\n",
       "0    9904          1  9904 -0.951057\n",
       "1    9905          1  9905 -0.570326\n",
       "2    9906          1  9906 -0.391007\n",
       "3    9907          1  9907 -0.499087\n",
       "4    9908          1  9908 -0.809017\n",
       "..    ...        ...   ...       ...\n",
       "91   9995          1  9995 -0.029130\n",
       "92   9996          1  9996 -0.309017\n",
       "93   9997          1  9997 -0.586999\n",
       "94   9998          1  9998 -0.656434\n",
       "95   9999          1  9999 -0.432012\n",
       "\n",
       "[96 rows x 4 columns]"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Split dataset into train/test\n",
    "# Last horizon observations for test\n",
    "horizon = 96\n",
    "Y_df = pd.DataFrame(dict(unique_id=1, ds=np.arange(len(x)), y=y))\n",
    "Y_train_df = Y_df.groupby('unique_id').head(len(Y_df)-horizon).reset_index()\n",
    "Y_test_df = Y_df.groupby('unique_id').tail(horizon).reset_index()\n",
    "Y_test_df"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. NHITS decomposition"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will employ `NHITS` stack-specialization to recover the latent harmonic functions. \n",
    "\n",
    "`NHITS`, a Wavelet-inspired algorithm, allows for breaking down a time series into various scales or resolutions, aiding in the identification of localized patterns or features. The expressivity ratios for each layer enable control over the model's stack specialization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from neuralforecast.models import NHITS, NBEATSx\n",
    "from neuralforecast import NeuralForecast\n",
    "from neuralforecast.losses.pytorch import HuberLoss, MQLoss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Global seed set to 1\n"
     ]
    }
   ],
   "source": [
    "%%capture\n",
    "models = [NHITS(h=horizon,                           # Forecast horizon\n",
    "                input_size=2 * horizon,              # Length of input sequence\n",
    "                loss=HuberLoss(),                    # Robust Huber Loss\n",
    "                max_steps=1000,                      # Number of steps to train\n",
    "                dropout_prob_theta=0.5,\n",
    "                interpolation_mode='linear',\n",
    "                stack_types=['identity']*2,\n",
    "                n_blocks=[1, 1],\n",
    "                mlp_units=[[64, 64],[64, 64]],\n",
    "                n_freq_downsample=[10, 1],           # Inverse expressivity ratios for NHITS' stacks specialization\n",
    "                val_check_steps=10,                  # Frequency of validation signal (affects early stopping)\n",
    "              )\n",
    "          ]\n",
    "nf = NeuralForecast(models=models, freq='M')\n",
    "nf.fit(df=Y_train_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predicting DataLoader 0: 100%|██████████| 1/1 [00:00<00:00, 20.68it/s]\n"
     ]
    }
   ],
   "source": [
    "from neuralforecast.tsdataset import TimeSeriesDataset\n",
    "\n",
    "# NHITS decomposition plot\n",
    "model = nf.models[0]\n",
    "dataset, *_ = TimeSeriesDataset.from_df(df = Y_train_df)\n",
    "y_hat = model.decompose(dataset=dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 1, figsize=(6, 7))\n",
    "\n",
    "ax[0].plot(Y_test_df['y'].values, label='True', linewidth=4)\n",
    "ax[0].plot(y_hat.sum(axis=1).flatten(), label='Forecast', color=\"#7B3841\")\n",
    "ax[0].legend()\n",
    "ax[0].set_ylabel('Harmonic Signal')\n",
    "\n",
    "ax[1].plot(y_hat[0,1]+y_hat[0,0], label='stack1', color=\"green\")\n",
    "ax[1].set_ylabel('NHITS Stack 1')\n",
    "\n",
    "ax[2].plot(y_hat[0,2], label='stack2', color=\"orange\")\n",
    "ax[2].set_ylabel('NHITS Stack 2')\n",
    "ax[2].set_xlabel(r'Prediction $\\tau \\in \\{t+1,..., t+H\\}$')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. NBEATSx decomposition"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we will employ `NBEATSx` interpretable basis projection to recover the latent harmonic functions. \n",
    "\n",
    "`NBEATSx`, this network in its interpretable variant sequentially projects the signal into polynomials and harmonic basis to learn trend $T$ and seasonality $S$ components:\n",
    "$$\\hat{y}_{[t+1:t+H]} = \\theta_{1} T + \\theta_{2} S$$ \n",
    "\n",
    "In contrast to `NHITS`' wavelet-like projections the basis heavily determine the behavior of the projections. And the Fourier projections are not capable of being immediately decomposed into individual frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Global seed set to 1\n"
     ]
    }
   ],
   "source": [
    "%%capture\n",
    "models = [NBEATSx(h=horizon,                           # Forecast horizon\n",
    "                  input_size=2 * horizon,              # Length of input sequence\n",
    "                  loss=HuberLoss(),                    # Robust Huber Loss\n",
    "                  max_steps=1000,                      # Number of steps to train\n",
    "                  dropout_prob_theta=0.5,\n",
    "                  stack_types=['trend', 'seasonality'], # Harmonic/Trend projection basis\n",
    "                  n_polynomials=0,                      # Lower frequencies can be captured by polynomials\n",
    "                  n_blocks=[1, 1],\n",
    "                  mlp_units=[[64, 64],[64, 64]],\n",
    "                  val_check_steps=10,                  # Frequency of validation signal (affects early stopping)\n",
    "              )\n",
    "          ]\n",
    "nf = NeuralForecast(models=models, freq='M')\n",
    "nf.fit(df=Y_train_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predicting DataLoader 0: 100%|██████████| 1/1 [00:00<00:00, 112.51it/s]\n"
     ]
    }
   ],
   "source": [
    "# NBEATSx decomposition plot\n",
    "model = nf.models[0]\n",
    "dataset, *_ = TimeSeriesDataset.from_df(df = Y_train_df)\n",
    "y_hat = model.decompose(dataset=dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x700 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 1, figsize=(6, 7))\n",
    "\n",
    "ax[0].plot(Y_test_df['y'].values, label='True', linewidth=4)\n",
    "ax[0].plot(y_hat.sum(axis=1).flatten(), label='Forecast', color=\"#7B3841\")\n",
    "ax[0].legend()\n",
    "ax[0].set_ylabel('Harmonic Signal')\n",
    "\n",
    "ax[1].plot(y_hat[0,1]+y_hat[0,0], label='stack1', color=\"green\")\n",
    "ax[1].set_ylabel('NBEATSx Trend Stack')\n",
    "\n",
    "ax[2].plot(y_hat[0,2], label='stack2', color=\"orange\")\n",
    "ax[2].set_ylabel('NBEATSx Seasonality Stack')\n",
    "ax[2].set_xlabel(r'Prediction $\\tau \\in \\{t+1,..., t+H\\}$')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "- [Cristian Challu, Kin G. Olivares, Boris N. Oreshkin, Federico Garza, Max Mergenthaler-Canseco, Artur Dubrawski (2023). NHITS: Neural Hierarchical Interpolation for Time Series Forecasting.](https://arxiv.org/abs/2201.12886)<br>\n",
    "- [Boris N. Oreshkin, Dmitri Carpov, Nicolas Chapados, Yoshua Bengio (2019). \"N-BEATS: Neural basis expansion analysis for interpretable time series forecasting\".](https://arxiv.org/abs/1905.10437)<br>\n",
    "- [Kin G. Olivares, Cristian Challu, Grzegorz Marcjasz, Rafał Weron, Artur Dubrawski (2021). \"Neural basis expansion analysis with exogenous variables: Forecasting electricity prices with NBEATSx\".](https://arxiv.org/abs/2104.05522)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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