racoon.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b6c07240",
   "metadata": {},
   "source": [
    "## Acknowledgement\n",
    "https://www.youtube.com/watch?v=S_il77Ttrmg&list=WL&index=4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3dc4dc0b",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5d201d27",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[34m\u001b[1mwandb\u001b[0m: Currently logged in as: \u001b[33mpeter-thomas-mchale\u001b[0m. Use \u001b[1m`wandb login --relogin`\u001b[0m to force relogin\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "import urllib\n",
    "import numpy as np\n",
    "import PIL\n",
    "import wandb\n",
    "\n",
    "from utils import (\n",
    "    transform, \n",
    "    reverse_transform, \n",
    "    plot_spatial_noise_distribution, \n",
    "    plot_noise_distribution,\n",
    "    IMAGE_SHAPE \n",
    ")\n",
    "from model import UNet, DiffusionModel\n",
    "\n",
    "wandb.login()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3f1e269c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "device = torch.device(\"cuda:0\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "36b5ce8e",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "def get_sample_image()-> PIL.Image.Image:\n",
    "    url = 'https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTZmJy3aSZ1Ix573d2MlJXQowLCLQyIUsPdniOJ7rBsgG4XJb04g9ZFA9MhxYvckeKkVmo&usqp=CAU'\n",
    "    filename = 'racoon.jpg'\n",
    "    urllib.request.urlretrieve(url, filename)\n",
    "    return PIL.Image.open(filename)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d504628e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=280x180>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_sample_image()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4a1d3f02",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "pil_image = get_sample_image()\n",
    "torch_image = transform(pil_image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0a905d73",
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "diffusion_model = DiffusionModel()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33496506",
   "metadata": {},
   "source": [
    "## Forward diffusion process"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e2ba3c9d",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x1500 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SpT3K1LNnTwueIfcMHTrUcL5Zs2YZOv6WW25xjRkzxnXu3DlTGdPT011Lly513XXXXa6CBQuaOkd8fLxbWStVquQaMGCAa/78+a6EhARTj3Ut+/btcw0bNsxVrFgxj39+v/32W1syusNo1qFDhzqW1YilS5ca/t6WLl3q1Yzffvutxz87klytWrVyLVq0yKMsf/31l+u5555z5cqVy+M87du3d2VmZlr0LF2bmf/WY8eOdRUqVMitY4sVK+YaMWKE6/Tp0x7lPHfunOuVV17x+DkePny4Rc+cOQ899JCp3A899JCjuX1ZgQIFDD+fLVu2dDr2Nb3++uumfla2bdvmdHQAAAAAuCb6Bd9Av2AN+oWsX/QL7jOalX7BOvQL1qBf8C76heDz+eefm/pvXq1aNaeje2zbtm2uiIgIt7/nrl27mn4sM5/9Jf95XwYAAAACCd2Cb6BbsAbdQtYvugX3Beo1DLoFY+gWrvxFt5AV3UJgMPs52Nuvk06jW7i6cePGmco8fvx4xzK7o1SpUqZfo8eOHet0fAAAAOAydCG+gS7EGnQhWb/oQtxnNCtdiHXoQqxBF+JddCH4r86dO5v6mfj888+dju4X5syZY+r5veWWW5yOfk0ZGRmuW2+91e3vKX/+/K5jx46ZfrwmTZoYfh6jo6Ot+4YBAAAAB9GH+Ab6EGvQh2T9og9xn9Gs9CHWoQ+xBn2Id9GH4L98uQ+57bbbDOcKDQ11paWl2Z7NrIULF5p+/QgJCXFdvHjRsiysDcn+/QWAPUIFAICfSUxMVMeOHRUbG2v6HI0bN9aqVau0ZMkS3XvvvYqIiPA4V1RUlAYOHKg9e/bolVdeUWRkpKnzTJ06VXPnzvU4j1369evn1nE333yzFixYoNWrV+uRRx5RgQIFTD1eWFiYmjZtqtmzZ2vVqlWmznE15cqV04svvqhdu3Zpz549+uijj9SqVStFRUVZ/liSVKFCBQ0dOlSHDh3SqFGjlC9fPtPnGjBggBITEy1MB1+3b98+9enTx6NzlC9fXvPmzdP8+fPVvHlzj85VpkwZvf322/rjjz/UqVMnj871448/6t133/XoHHZ75plndPbs2aseExkZqZdfflkHDx7Uiy++qCJFinj0mAUKFNDw4cO1ZcsW1atXz/R5PvroIyUnJ3uUBb7j/PnzOn/+vOG58uXLWx/GYmYzHjhwwOIkAAAAAIBARL/gLPoFz9AvwBP0C86iXwDcN378eFNzMTExFifxroyMDMXExCgtLc2t4wsUKKCPP/7Y5lQAAAAAAIluwWl0C56hW4An6BacRbcA4FroFq7N7GfC48ePWxvEQi6XSydPnjQ9v3//fgvTAAAAAAgUdCHOogvxDF0IPEEX4iy6EMAa+/fv1+zZsw3PRUZGqmvXrtYHCkCjRo0yNdejRw+Lk1jvk08+MfSZ8J133tF1111nYyIAAAAAsA99iLPoQzxDHwJP0Ic4iz4EsIav9yFmPrNkZmZ6tDbAbp6sq3C5XDp48KBlWVgbcjnWhgD2YVNnAIDfGTJkiLZv325qNl++fPriiy+0fPlyNWzY0OJkl+TMmVPDhw/X2rVrTW9M+NhjjykuLs7iZNY4derUVf99rly5NHLkSK1evVotW7a09LGrVq1qyXlCQ0PVsWNHLV68WPv379eIESNUrVo1S87trpw5c+qpp57S7t271bp1a1PnOHnypD777DOLk8GX9e/fXwkJCabnO3XqpM2bN6t9+/YWppLKli2rmTNn6pNPPjFd/EnSa6+95tMXAC5cuHDVf1+tWjVt3rxZr7/+unLlymXpY1epUkXLly9Xhw4dTM2fOXNGU6dOtTQTnGN2A+MSJUpYnMR6ZjOyqTMAAAAAwB30C86iX7AG/QLMoF9wFv0C4J6dO3dq/fr1hufCw8P1wAMP2JDIe0aNGqUNGza4ffy7777rF70PAAAAAAQCugVn0S1Yg24BZtAtOItuAcC10C1cW+nSpU3NHTlyxOIk1jl58qTS09NNz/vyex8AAAAA59CFOIsuxBp0ITCDLsRZdCGANd555x1lZmYanmvbtq0KFSpkQ6LAsnr1ai1btszwXHh4uLp162Z9IAsdPHhQL730ktvHN2rUSI888oiNiQAAAADAXvQhzqIPsQZ9CMygD3EWfQhgDV/vQwJx7cLRo0c9mrfytTkQn1/WhgC+i02dAQB+ZdmyZRozZoyp2erVq2vz5s3q06ePxamyV7t2bW3YsEENGjQwPHv06FG9+uqrNqSyV4kSJbR8+XINHjxYoaG+9zEjMjJSjz32mP7880/98MMPuuOOOxQSEuJophIlSujnn3/Wiy++aGp+5MiRSkpKsjgVfNG3336r+fPnm54fPHiwZs6cqfz581uYKqsnnnhCv/zyi6KiokzNJycn6/HHH7c4lXd06NBBa9euVfXq1W17jNy5c2v69Olq3LixqfnRo0dbnAhO+euvv0zN+cMNeMxmPHTokMVJAAAAAACBhn7Bt9EvGEe/AHfRL/g2+gXgX+PHjzc11759exUvXtziNN6zZ88eDR061O3jGzdurIcfftjGRAAAAACAv9Et+Da6BePoFuAuugXfRrcAgG7BPWXKlDE1t2vXLouTWGfnzp0ezR88eNCaIAAAAAACBl2Ib6MLMY4uBO6iC/FtdCGAe7Zt22Z6HcaAAQMsThN4XC6XBg0aZGq2e/fuKlq0qLWBLNa3b18lJia6dWxkZKTGjh3r+Gc9AAAAADCLPsS30YcYRx8Cd9GH+Db6EMA9/tCHsHbhclauXeD5vRxrQwD7+N7fSgEAuIKkpCQ9/PDDcrlchmebNm2qVatWqUKFCjYku7JChQpp4cKFatiwoeHZMWPG6NixYzakskfZsmW1Zs0a1a9f3+kolwkNDVWfPn30559/avTo0apYsaLTkbIICQnRiBEj9M477xiePXXqlCZPnmxDKviS5ORkPfXUU6bnn3/+eY0cOdLCRFfWrFkz/fzzz8qdO7ep+fnz52vmzJkWp7LX3XffrZkzZypv3ry2P1aOHDk0ffp0FStWzPDsli1btGfPHhtSwdtOnz5tai6QN3WOjY21OAkAAAAAIJDQL/g2+gXz6BdwLfQLvo1+AfhXWlqapk6damo2JibG4jTe43K59PDDDys5Odmt43PkyMGNcAAAAADAS+gWfBvdgnl0C7gWugXfRrcAgG7Bfdddd53Cw8MNz23fvt2GNNbwNBtrbwAAAAD8L7oQ30YXYh5dCK6FLsS30YUA7hs0aJAyMjIMz91yyy264447bEgUWKZMmaJ169YZngsJCdELL7xgQyLrjB8/XosWLXL7+BdeeEHVqlWzMREAAAAA2Ic+xLfRh5hHH4JroQ/xbfQhgPv8oQ8xu+nwtm3bLE5iHV9au8DakMuxNgSwD5s6AwD8xsiRI7Vv3z7Dc7feeqvmzZun/Pnz25Dq2vLmzas5c+aoXLlyhuYuXryoN998055QFitSpIgWLFig6Ohop6NkK3fu3Priiy98Nt/fnn32WfXv39/wHBe/A9/YsWN1/PhxU7PdunXTW2+9ZXGiq7v99ts1adIk0zf8GD58uKmi0wm33367vvvuO0VERHjtMYsWLapPP/3U1Oz06dMtTgMnnDlzxtScP2zqXLhwYVN/nsw+JwAAAACA4EC/4LvoF6xBv4AroV/wXfQLQFZz5szR6dOnDc+VKFFC7dq1syGRd3z++edasWKF28e/+OKLuv76621MBAAAAAD4G92C76JbsAbdAq6EbsF30S0AkOgWjAgNDTX1vZ87d06///67DYk8t2rVKo/mWXsDAAAA4H/RhfguuhBr0IXgSuhCfBddCOC+yZMna+nSpaZmX3rpJYvTBJ7Tp0/r2WefNTXbuXNnn94A+fjx4xoyZIjbx1etWlUvvviijYkAAAAAwF70Ib6LPsQa9CG4EvoQ30UfArjPX/qQ6tWrm5rzdH2AXeLi4rRjxw6PzmHl2gXWhlyOtSGAfdjUGQDgF86fP69Ro0YZnitfvrzmzZunqKgoG1K5r0iRIpo1a5bhiyNffPGFTp06ZVMqa4SEhOirr74K2sX9Vvvggw9Uq1YtQzNr167V7t27bUoEp6Wmpuq9994zNVurVi1NnDjR4kTu6dq1q55//nlTs1u3btXcuXMtTmS90qVLa/r06V698P23rl27qkGDBobn5s2bZ0MaeNvZs2dNzRUoUMDaIDYx8wsLZp8TAAAAAEDgo1/wXfQL1qJfwH/RL/gu+gXgcuPHjzc198ADDyg8PNziNN5x+PBhPffcc24fX716ddOvjwAAAAAAY+gWfBfdgrXoFvBfdAu+i24BgES3YEbdunVNzS1evNjiJJ5zuVymb0j1twsXLig9Pd2iRAAAAAD8GV2I76ILsRZdCP6LLsR30YUA7vvrr780YMAAU7NNmjRRhw4dLE4UeB555BFTnxsjIyN9fuOsxx57TOfPn3fr2JCQEI0dO1aRkZH2hgIAAAAAm9CH+C76EGvRh+C/6EN8F30I4D5/6kNq1apl6lr6xo0bdeHCBRsSeWb58uXKyMjw6BxWbzrM2pCsWBsC2IdNnQEAfuG9995z+xeA/pYjRw7NmDFDBQsWtCeUQbVr19bLL79saCYlJUVffvmlTYms8fTTT6tVq1ZOxwgYERERGjdunOG5b775xoY08AWTJ0/W0aNHDc+Fh4dr0qRJypUrlw2p3PPaa68ZLnP+NmLECIvTWG/s2LEqVqyYY4//wgsvGJ7ZsGGDLl68aEMaeJPZC5F58+a1OIk9zOS0+uIsAAAAACBw0C/4LvoFa9Ev4L/oF3wX/QKQ1bFjx7RgwQJTszExMRan8Z5+/fopPj7erWO5EQ4AAAAAeBfdgu+iW7AW3QL+i27Bd9EtAJDoFsyoV6+eqTlfvPnYmjVrFBsb6/F5zp49a0EaAAAAAP6OLsR30YVYiy4E/0UX4rvoQgD3uFwu9erVS3FxcYZnw8LC9Omnn9qQKrBMnjxZs2fPNjX71FNPqUqVKtYGstC3336rH374we3j+/btq9tvv93GRAAAAABgL/oQ30UfYi36EPwXfYjvog8B3ONvfUhkZKRq1KhheC4jI0M///yzDYk8Y8V6Cqv3DWFtyOVYGwLYg02dAQA+Ly4uTh9//LHhuRdffFE33XSTDYnMe/7551WuXDlDM+PHj7cnjAVKly6t1157zekYAefmm29Whw4dDM0sXLjQpjRw2pgxY0zNPfPMM46/BkZERGjixIkKDTX+145169Zp69atNqSyRvfu3dW2bVtHM3To0EGlSpUyNJOamqq1a9falAjeYvYiWb58+SxOYg8zOblwCAAAAADIDv0C/UKwoV/A/6Jf8E30C8DlJk2apIyMDMNzt956q6pWrWpDIvt9+eWXhn6h/tFHH9Vtt91mYyIAAAAAwN/oFugWgg3dAv4X3YJvolsAINEtmNWwYUNTc4sWLdKJEycsTuMZq26yafXNkQAAAAD4H7oQupBgQxeC/0UX4pvoQgD3vfnmm1q6dKmp2f79+5vaUCCY/PHHH3ryySdNzZYqVcrwJlvedObMGQ0YMMDt46+77jq98847NiYCAAAAAHvRh9CHBBv6EPwv+hDfRB8CuM8f+xCzaxemTp1qcRLPpKSk6Pvvv/f4PFavW2BtyOVYGwLYg02dAQA+76uvvlJCQoKhmcqVK+v555+3KZF5kZGRGjp0qKGZ33//3WcvVLz55pvKnTu30zEC0sCBAw0dv27dOsN/TuD7fv/9d23cuNHwXJEiRfTCCy/YkMi4OnXq6P777zc1O3nyZIvTWCM8PFyvv/660zEUFhamLl26GJ7z1fcUuO/ChQum5vLkyWNxEnvkzZvX8Mz58+etDwIAAAAA8Hv0C/QLwYh+ARL9Av3C1dEvwNdMnDjR1FxMTIzFSbzj5MmTGjRokNvHlyxZUm+//bZ9gQAAAAAAWdAt0C0EI7oFSHQLdAtXR7cAOItuwby6deuqePHihucyMjJMd1h2SEhI0DfffGPJuc6dO2fJeQAAAAD4L7oQupBgRBcCiS6ELuTq6ELgDxYuXKhXX33V1Gx0dLRP/FnzZQkJCercubPi4+NNzX/22Wc+fX+vgQMH6tSpU24f//HHH6tAgQL2BQIAAAAAm9GH0IcEI/oQSPQh9CFXRx8Cf+CvfUi7du1Mzc2fP1+HDx+2OI15M2bMsGTNgdXrFlgbcjnWhgD2YFNnAIDPGzdunOGZV199VZGRkTak8VyPHj0Mf9ifO3euTWnMK1eunOkLWri2O+64Q9ddd53bx6elpenXX3+1MRGcYPbi7/PPP29qU1S7DB8+XBEREYbnpk2bpvT0dBsSeaZnz56qWLGi0zEkSR07djQ88/vvv9uQBN6UkpJieCZ37twKDfWPSwBmfjk9IyNDmZmZNqQBAAAAAPgz+gX6hWBEvwCJfoF+4droF+Arli9frr179xqei4qKUrdu3WxIZL8nnnhCZ8+edfv4Tz/9VPny5bMxEQAAAADgf9Et0C0EI7oFSHQLdAvXRrcAOIduwbyQkBC1b9/e1OxHH32kixcvWpzInDFjxlh2wx0za5IAAAAABBa6ELqQYEQXAokuhC7k2uhC4Mv++usv3X///aburxQSEqJJkybRHVxDnz59TP+Z7t27t+666y6LE1nnp59+0ldffeX28R07dtQ999xjYyIAAAAAsB99CH1IMKIPgUQfQh9ybfQh8GX+3IfccccdioqKMjyXnp6u999/34ZExrlcLr399tuWnMvqdQusDbkca0MAe/jHjk4AgKC1adMmbd682dBMhQoV1L17d5sSeS4iIkK9evUyNPPLL7/YE8YDAwYMUFhYmNMxAlZoaKiaN29uaGbjxo02pYFTvvvuO8MzefPm1SOPPGJDGvPKly9v6hc0T548qWXLllkfyEOPPvqo0xH+ceuttyo8PNzQzB9//GFTmiubNGmSXC6X4a9JkyZ5Pas/SE1NNTxjpoByitmsZp4XAAAAAEDgol+4hH4h+NAvQKJfoF+4NvoF+Irx48ebmuvatavy5MljcRr7zZo1S9OnT3f7+LvvvludOnWyMREAAAAA4H/RLVxCtxB86BYg0S3QLVwb3QLgDLoFz5ndROHkyZP65JNPLE5jXFxcnN577z3LzsfaGwAAACC40YVcQhcSfOhCINGF0IVcG10IfFVSUpI6d+6s2NhYU/ODBg1S06ZNrQ0VYN59911T7xOSFB0drQ8//NDaQBaKi4tTv3793D4+b968+uyzz2xMBAAAAAD2ow+5hD4k+NCHQKIPoQ+5NvoQ+Cp/70Ny5sypVq1amZodN26cDh06ZHEi47777jtt377dknPZsW6BtSFZsTYEsAebOgMAfJqZCz99+vTx+YuyRi8Cbdq0SadPn7YpjXHh4eF68MEHnY4R8Bo1amTo+B07dtiUBE7Yu3evDhw4YHiuZ8+eyps3rw2JPPP444+bmlu4cKHFSTxTrVo1NWjQwOkY/8iVK5dq1aplaObPP/+0KQ28JS0tzfCM0ZLESWzqDAAAAACwAv3CJfQLwYl+IbjRL1xCv3B19AvwBXFxcZoxY4ap2ZiYGIvT2O/cuXPq37+/28fny5dPn376qY2JAAAAAAD/RbdwCd1CcKJbCG50C5fQLVwd3QLgfXQL1mjXrp1Klixpanb48OE6evSoxYmMeeWVV3Ty5EnLzsfaGwAAACC40YVcQhcSnOhCghtdyCV0IVdHFwJflJmZqR49epjeXKdmzZp68803LU4VWGbMmKHnn3/e1GxYWJimTJmifPnyWZzKOs8++6yOHDni9vFvvvmmSpcubWMiAAAAALAffcgl9CHBiT4kuNGHXEIfcnX0IfBFgdKHPPzww6bmkpOTNWjQIGvDGJSQkKCnn37asvPZsW6BtSFZsTYEsAebOgMAfNrPP/9s6PjQ0FA99NBDNqWxTt26dVW8eHG3j3e5XFq5cqWNiYy54447VLhwYadjBLyqVasaOn779u02JYETFi1aZGrOV29g3qhRI8M/05L558Eud911l9MRLnPDDTcYOv7s2bO6ePGiTWngDWYukvnTps5ms3LxEAAAAADwv+gXLqFfCE70C8GNfuES+oVro1+A07755hslJSUZnqtcubJuv/12GxLZa/DgwTp+/Ljbx7/11lsqVaqUjYkAAAAAAP9Ft3AJ3UJwolsIbnQLl9AtXBvdAuBddAvWCA8PN31zpISEBPXq1UuZmZkWp3LPkiVLLN+om7U3AAAAQHCjC7mELiQ40YUEN7qQS+hCro0uBL7m2Wef1ezZs03N5suXT9OnT1fOnDmtDRVA1q9frwceeEAul8vU/IgRI9S4cWOLU1ln+fLlGjt2rNvHN2jQwPRGOQAAAADgS+hDLqEPCU70IcGNPuQS+pBrow+BrwmUPqRNmzYqX768qdnZs2drypQpFidy35NPPmnppsd2rFtgbUhWrA0B7MGmzgAAn3X06FFt27bN0Ey9evX8YuF5SEiIbrvtNkMzmzdvtimNcb548ScQGf0L959//unYXwJhPTMXfcuUKaN69erZkMYanTp1MjyzZcsWnTlzxoY05rRp08bpCJepXLmy4ZlTp07ZkATewqbO2UtLS7M4CQAAAADAX9EvZEW/EHzoF4Ib/cIl9AvXRr8Ap40fP97UXO/evS1OYr+FCxdq0qRJbh/fsGFDPfroo/YFAgAAAABchm4hK7qF4EO3ENzoFi6hW7g2ugXAe+gWrPXII48oMjLS1OyiRYv06quvWpzo2o4cOaL777/f8s9c3LgHAAAACF50IVnRhQQfupDgRhdyCV3ItdGFwJeMGTNGI0eOND0/YcIEValSxcJEgeXQoUO68847lZycbGq+Y8eOevbZZy1OZZ3k5GQ9/PDDbm9YHRERoXHjxik0lNuUAwAAAPBv9CFZ0YcEH/qQ4EYfcgl9yLXRh8CXBFIfEhoaqscee8z0/GOPPWb4s6wVxo0bZ2j9ijvsWrfA2pB/sTYEsAdtKQDAZ/3yyy+GZ3zxosSV1KlTx9DxW7ZssSeICU2aNHE6QlAoUKCAoePT09O5oBVAVq1aZXjG14upzp07G57JzMzU6tWrbUhjXHh4uG655RanY1ymXLlyhmd4rfBv6enphmfY1BkAAAAAEEzoF7KiXwg+9AvBjX7hEvqFa6NfgJN27typdevWGZ4LCwvTQw89ZEMi+yQkJKhv375uH8+NcAAAAADAGXQLWdEtBB+6heBGt3AJ3cK10S0A3kG3YL1SpUqpX79+pudHjBihTz/91MJEV3f69Gm1bNlSJ0+etPzcrL0BAAAAghddSFZ0IcGHLiS40YVcQhdybXQh8BVz585V//79Tc8//fTT6tKli4WJAsuZM2fUpk0b09fhK1asqMmTJyskJMTiZNZ55ZVXtHfvXrePf+aZZ1SzZk0bEwEAAACAd9CHZEUfEnzoQ4Ibfcgl9CHXRh8CXxGIfUj//v1VokQJU7NJSUlq3bq1oev7npo1a5Yef/xxy89r17oF1ob8i7UhgD1YnQcA8FlmLnY0btzYhiT2uOGGGwwd7ysXvwsXLqzq1as7HSMoREVFGZ45fvy4DUngbbGxsab+WzZr1syGNNapW7eu4VJHkrZt22Z9GBOqVq2qHDlyOB3jMkWLFjU8c/bsWRuSwFvMbHqckZFhQxJ7mNm0WvKvjasBAAAAAPaiX8iKfiH40C8EL/qFrOgXro5+AU4aP368qbk2bdqoZMmSFqex1wsvvKBDhw65ffxzzz1n+PMeAAAAAMBzdAtZ0S0EH7qF4EW3kBXdwtXRLQDeQbdgj1deeUV58+Y1PT9gwAC9++67FibK3oEDB9S0aVP98ccftpw/MjLSlvMCAAAA8H10IVnRhQQfupDgRReSFV3I1dGFwBesWLFC3bp1M32/qNatW+vtt9+2OFXgSEhIUPv27U1fh8+fP79mz55t6jXYW9avX68PP/zQ7eMrV66sV155xb5AAAAAAOBF9CFZ0YcEH/qQ4EUfkhV9yNXRh8AXBGofkjt3bg0dOtT0/IkTJ9S0aVOvfI6bOnWq7rvvPtP7glyNnesWWBtyCWtDAHuwqTMAwGdt3rzZ8EydOnVsSGKP0qVLGzr+yJEjSktLsymN+2666SaFhIQ4HSMohIWFGZ45ceKEDUngbWYv9t56660WJ7FWSEiIGjZsaHjOVy5+16xZ0+kI2SpSpIjhmZSUFBuSwFvMXCTzhc8Q7jJ78ZaLhwAAAACAv9EvZEW/EHzoF4IX/UJW9AtXR78Ap6SlpWnq1KmmZmNiYixOY6/ffvtNo0ePdvv4KlWq6OWXX7YxEQAAAADgSugWsqJbCD50C8GLbiEruoWro1sA7Ee3YJ+iRYvqpZdeMj3vcrn03HPP6cEHH1RcXJyFyf71yy+/qEGDBtq1a5ct55eknDlz2nZuAAAAAL6NLiQrupDgQxcSvOhCsqILuTq6EDht06ZNuvPOO5WcnGxq/uabb9aMGTMUHh5ucbLAkJKSorvvvltr1641NZ8zZ07NmTNHNWrUsDiZddLS0hQTE2NoE4wxY8bQHwAAAAAIGPQhWdGHBB/6kOBFH5IVfcjV0YfAaYHehzz88MMedQlHjx5Vo0aNTN+j61pSUlL0zDPP6IEHHlBqaqotj2Fn78DakEvodgB7+OY7CwAg6KWlpWnnzp2GZqKjo1WwYEGbElmvVKlSho53uVw6duyYoqOjbUrknmrVqjn6+E5JS0vTvn37tGfPHu3du1f79+/XyZMnFRsbq9jYWJ09e1YpKSn/fKWlpcnlcnk956lTp7z+mLCemYu95cuXV4kSJWxIY61bb71VP//8s6EZX7n4XbZsWacjZMvMBRMufvu3iIgIwzNmN0p2Aps6AwAAAAA8Qb9wOfoFZ9EvwJvoF7KiX7g6+gU4Ze7cuTp9+rThuaJFi+rOO++0IZE9UlJS1KdPH2VmZrp1fEhIiMaOHascOXLYnAwAAAAA8F90C5ejW3AW3QK8iW4hK7qFq6NbAOxFt2C/IUOGaPbs2VqzZo3pc3z55ZdatmyZRo0apS5dulhyo8mjR4/q5Zdf1qRJkzw+17Vw4x4AAAAgONGFXI4uxFl0IfAmupCs6EKuji4ETtq1a5dat25t+ubx1atX108//aSoqCiLkwWG9PR03XvvvVq8eLGp+fDwcH3//fdq3LixxcmsNWLECO3YscPt43v37q1mzZrZmAgAAAAAvIc+5HL0Ic6iD4E30YdkRR9ydfQhcFIw9CHh4eGaMmWKGjRooLS0NFPnSExM1AMPPKDvvvtO77//vqpUqWJJtsWLF2vAgAG2bjYs2b9ugbUhrA0B7MKmzgAAn7Rr1y7DfzEvX768TWnsYeYveUePHnX84nfVqlUdfXxviYuL08KFC/Xbb79p7dq12rRpky5evOh0rGtKTk52OgIssGfPHsMz1atXtyGJ9W644QbDM3v37pXL5bLkQoYnjJaW3mLm5itc/PZvZjYv9qdNnc1eYGZTZwAAAACARL9wJfQL3kO/ACfRL2RFv3B19Atwyvjx403N9ezZUxERERansc+wYcO0e/dut4/v06ePmjRpYmMiAAAAAMCV0C1kj27Be+gW4CS6hazoFq6ObgGwF92C/cLCwjRlyhTVrl1bSUlJps9z+PBhde3aVTVr1tSAAQN07733Kl++fIbPs379ek2YMEETJ040/HoZFRWlxMREw4/JjXsAAACA4EQXkj26EO+hC4GT6EKyogu5OroQOGXv3r1q0aKFYmNjTc1XqFBBCxcuVOHChS1OFhgyMzP1wAMPaM6cOabmQ0NDNXnyZHXo0MHiZNbasWOH3nzzTbePL1asmN5//30bEwEAAACAd9GHZI8+xHvoQ+Ak+pCs6EOujj4ETgmmPuSmm27S0KFD9fLLL3t0nrlz5+qnn35St27d1LdvXzVp0sTwa1tycrJ++OEHffbZZ1q5cqXhDGbWLti9boG1IawNAezCps4AAJ+0d+9ewzPlypWzPoiNcuXKZXjm6NGjNiQxxlcv/ljh3LlzmjZtmmbNmqUVK1aY3lTSSVzQCgxm/qz7SzF1/fXXG55JS0vT6dOnVaxYMRsSua9QoUKOPv6VmLl5vT9t8IvLmdm82J/e08z+fPrTRg4AAAAAAPvQL2SPfsFe9AvwFfQLWdEvXB39Apxw7NgxzZ8/39RsTEyMxWnss3nzZkM3tilevLjeffddGxMBAAAAAK6GbiF7dAv2oluAr6BbyIpu4eroFgD70C14T+XKlTVhwgR1795dLpfLo3Nt375dffv21ZNPPqlGjRqpSZMmqlWrlipVqqTixYsrT548Cg8PV1JSki5cuKCDBw/qzz//1KpVq7Rs2TLt27fP1OMWLlxYTz31lKkbPHHjHgAAACA40YVkjy7EXnQh8BV0IVnRhVwdXQiccOjQITVv3lzHjx83NV+qVCktWrRIJUuWtDhZYHC5XHr44Yf1zTffmD7H6NGjdf/991uYynoZGRmKiYkx9Jnrww8/9NnXYwAAAAAwgz4ke/Qh9qIPga+gD8mKPuTq6EPghGDsQ55//nmtWbNG8+bN8+g8GRkZmjZtmqZNm6ZSpUqpWbNmuu2223T99derYsWKKlCggHLnzq3MzEwlJibq9OnT2rt3r3bu3KkVK1Zo+fLlio+PN/XY9957r06fPq2lS5camvPGugXWhrA2BLADmzoDAHzSkSNHDM9MmjRJkyZNsj6MDzH7Fx0rFS9e3OkIltu4caM+/vhjff/990pOTnY6jkcuXrzodARYwMzFpMqVK9uQxHqVK1dWaGioMjMzDc0dP37c8YvfZkpLX+XphSU4y8ymzsnJycrMzFRoaKgNiayVkJBgeCYsLExhYWE2pAEAAAAA+Bv6hezRL9iDfgG+hn7hcvQL1qJfgKcmTZqkjIwMw3P169dXjRo1bEhkvfT0dMXExBhajPLxxx+rYMGCNqYCAAAAAFwN3UL26BbsQbcAX0O3cDm6BWvRLQDXRrfgfd26ddOBAwf0wgsvWHK+ixcvatGiRVq0aJEl57ua0NBQTZs2TTt27DA1HxUVZXEiAAAAAP6ALiR7dCH2oAuBr6ELuRxdiLXoQuCJY8eOqXnz5vrrr79MzRctWlSLFi1S+fLlLU4WOPr376+JEyeanh85cqT69etnYSJ7fPDBB1q/fr3bx7dt21bdu3e3MREAAAAAeB99SPboQ+xBHwJfQx9yOfoQa9GHwBPB2oeEhYXpm2++UePGjbVp0yZLznn06FFNnTpVU6dOteR8V1O1alWNHz9et956q+FZb61bYG0IAKv5/m5OAICgZObidzDwhQuzTl98stLOnTvVpUsX1atXT1OmTPGJ59dTKSkpTkeABY4dO2Z4pkSJEjYksV5ERIQKFy5seM7Mc2K1nDlzOh0BkCTlz5/f8IzL5TK1WbIT4uLiDM+YeU4AAAAAAIGJfiF7vnD9m37Bt9EvBAb6hcvRLwC+xeyCxpiYGGuD2Oidd97Rli1b3D6+ffv2uvfee+0LBAAAAAC4JrqF7PnCtW+6Bd9GtxAY6BYuR7cAwNvoFpzx/PPPa8CAAU7HMOzdd99Vq1atFBsba2reX97HAQAAAFiLLiR7vnCtni7Et9GFBAa6kMvRhQC+4eTJk7rjjju0b98+U/MFCxbUggULVLVqVYuTBY6nnnpK//d//2d6/rXXXtPgwYMtTGSPvXv36tVXX3X7+KioKI+eFwAAAADwVfQh2fOF6/X0Ib6NPiQw0Idcjj4E8A3B3odERUVp3rx5qlKlitNRDClatKhmzZqlPHnymFq74M33GNaGALASmzoDAHwSF7+zd/HiRacjKCoqyukIHktJSdELL7ygG2+8UTNnznQ6jqUyMzOdjgALnDx50vCMPxVTxYsXNzxj5jmxWmgof32CbzBTIElSfHy8xUnsYSan2ecEAAAAABB46BeyR79gDfoF+Dr6hcvRLwC+Y8WKFdqzZ4/huVy5cql79+42JLLeH3/8oddff93t4/PkyaPRo0fbmAgAAAAA4A66hezRLViDbgG+jm7hcnQLALyJbsFZH330kV566SWnY7htxIgRevrppyVJp0+fNjwfHh6uIkWKWB0LAAAAgB+gC8keXYg16ELg6+hCLkcXAjgvNjZWLVq00O7du03N582bVz///LNq165tbbAA8vzzz+vDDz80Pf/MM88Y2ijZKS6XS3379jW0gdTw4cMVHR1tYyoAAAAAcAZ9SPboQ6xBHwJfRx9yOfoQwHn0IZdcd911WrlypW666Sano7ilcOHCWrRo0T8bafv6ps4Sa0MAWCfc6QAAAGTHzIfyYGDkF6bskiNHDqcjeGTXrl3q2rWrdu3a5XQUIFsZGRlKS0szPOdPF7/NZE1KSrIhCeCfChUqZGouLi5OpUqVsjiN9eLi4gzPmH1OAAAAAACBh34he/QLnqNfgK+jX8ge/QLgO8aPH29qrkuXLsqfP7/FaayXmZmpPn36KCUlxe2ZN954Q2XLlrUxFQAAAADAHXQL2aNb8BzdAnwd3UL26BYAeAvdgm944403VLRoUQ0ZMkTp6elOx7miN954Qy+++OI//3z8+HHD5yhevLhCQkKsjAUAAADAT9CFZI8uxHN0IfB1dCHZowsBnHX27Fm1aNFCO3bsMDWfK1cuzZs3Tw0aNLA4WeB45ZVX9M4775ie79+/v959910LE9lnzJgxWrZsmdvH161bVwMHDrQvEAAAAAA4iD4ke/QhnqMPga+jD8kefQjgLPqQrIoWLaply5apc+fOWrx4sdNxrqho0aJauHChatWqJenSZ2wz7zHXXXed1dGuibUhAKwQ6nQAAACy4wsXeX2RL3zw9+eL34sXL9att97KhW/4NLOvf1FRURYnsY+ZrLwvAP8qXLiwqbnz589bG8QmZjZ1NvucAAAAAAACD9eRske/4Bn6BfgD+oXs8b4A+Ib4+HhNnz7d1GxMTIzFaezxySefaNWqVW4fX79+fT355JM2JgIAAAAAuItrSNmjW/AM3QL8Ad1C9nhfAOAtdAu+Y+DAgVq2bJnKlCnjdJTL5MmTR999951eeumlLP///v37DZ+rRIkSVsUCAAAA4Ge45pU9uhDP0IXAH9CFZI/3BcA5Fy5cUKtWrbR161ZT8zly5NDs2bPVuHFji5MFjjfeeENvvPGG6fmYmBh98sknFiayz5EjR/Tcc8+5fXxYWJjGjRunsLAwG1MBAAAAgHO47pU9+hDP0IfAH9CHZI/3BcA59CHZy5cvnxYsWKBhw4b55LX6+vXra8OGDbrxxhv/+f/MrFuQnFu7wNoQAJ5iU2cAgE/iIofvCgkJcTqCKbNnz1bbtm114cIFp6MAV3Xx4kVTc/5UTJnJavZ5AQJRoUKFTM2dPHnS4iTWO3v2rFJTUw3PmX1OAAAAAACBh37Bd9EvAPaiX8ge/QLgG77++mslJSUZnitfvryaNm1qfSCLHTx48LJflr6a8PBwjRs3TqGh/PomAAAAAPgCugXfRbcA2ItuIXt0CwC8gW7B99x2223asmWLevTo4XSUf1SvXl3r1q1T165dL/t3Bw8eNHy+6667zoJUAAAAAPwRXYjvogsB7EUXkj26EMAZcXFxat26tTZu3GhqPjw8XN99951atWplcbLA8c477+iVV14xPd+9e3eNGzfObz6j9evXT3FxcW4fP3jwYN100002JgIAAAAAZ9GH+C5/+bv2f9GHwF/Qh2SPPgRwBn3I1YWGhmro0KFasmSJrr/+eqfj/KNfv3769ddfVbZs2Sz//4EDB0ydz8m1C6wNAeAJVu4BAHwSF79hpZUrV6p79+5KS0tzOgpwTWYv8kZGRlqcxD5c/AY8U7RoUVNzJ06csDiJ9cxmLFKkiMVJAAAAAAD+in4BVqJfgD+hX8ge/QLgGyZMmGBqrnfv3n6xQK9v375KTEx0+/inn35aN954o42JAAAAAABG0C3ASnQL8Cd0C9mjWwDgDXQLvqlQoUKaOnWqVq5cqTp16jiWI0+ePHr77be1efNmVatW7bJ/f/z4cVN/j6lUqZIV8QAAAAD4IboQWIkuBP6ELiR7dCGA98XHx6tNmzZau3atqfmwsDB99dVX6tixo8XJAsfIkSP1/PPPm57v1KmTpkyZotBQ/7hN99SpU/XTTz+5fXz58uU1bNgw+wIBAAAAgA+gD4GV6EPgT+hDskcfAngffYj7GjdurO3bt2vkyJHKnz+/Yzlq1qyp5cuX6/PPP8/2tXb//v2mzuv02gXWhgAwK9zpAAAAZCclJcXpCAgQR48e1V133WX5hbMiRYro+uuvV4UKFVShQgWVKFFCxYsXV7FixZQvXz7lyZNHefPmVc6cORUWFqbw8HBFREQYfhx/uEE1fAM/K0DwKFu2rKm5QN7UOTo62uIkAAAAAAB/Rb8Aq9AvIFjwswLAbrt27TL1i/ahoaHq1auX9YEsNn78eC1atMjt4ytWrKihQ4famAgAAAAAYBTdAqxCt4Bgwc8KAHiGbsH33XbbbdqwYYPmzp2rUaNGafny5V553Bw5cqhHjx4aPny4SpUqdcXj9uzZY+r8NWrUMBsNAAAAgJ+jC4FV6EIQLPhZAWClxMREtWvXTqtXrzY1HxISogkTJujee++1OFng+PDDDzVkyBDT823bttU333yj8HD/uEX3qVOnNGjQIEMzn3/+uXLnzm1PIAAAAADwEfQhsAp9CIIFPysArEQfYlxERIQGDx6s3r176/PPP9enn36qY8eOeeWxo6OjNWTIED322GMKCwu74nFm1i6EhYWpatWqnsSzDGtDABjlH40xACDomLlICPyXy+VS7969dfbsWY/PVbVqVbVs2VLNmjVT3bp1TW+oCVxLzpw5Tc2lpKT4zS9Mmik4zT4vQCAqX768qblA3tTZ7HMCAAAAAAg89AuwAv0C/BH9QvboFwDnjR8/3tRcixYtVKZMGYvTWG/06NGGjh8zZoxy5cplUxoAAAAAgBl0C7AC3QL8Ed1C9ugWANiNbsE/hISEqGPHjurYsaO2bNmiL7/8UjNnztTBgwctf6ySJUvqkUce0WOPPaZixYpd8/jNmzebepwbbrjB1BwAAAAA/0cXAivQhcAf0YVkjy4E8J6kpCS1b99eK1euNH2O//u//9ODDz5oYarA8umnn+qpp54yPX/HHXdo5syZioyMtDCVvb799ludOXPG7eN79uypVq1a2ZgIAAAAAHwDfQisQB8Cf0Qfkj36EMB76EM8U7BgQb3wwgsaMmSIZs2ape+++04///yzkpKSLH2ckJAQ3XbbbRowYIA6d+581c2c/2Zm7UKlSpWUI0cOMxFtwdoQAEawqTMAwCexyBxWmDRpkhYuXGh6Pm/evOrbt6969eqlmjVrWpgMuDJPLn77CzNZeV8A/lWwYEHlz59fFy5cMDR34MABmxJZx2xGNnUGAAAAAPyN60iwAv0C/BH9QvZ4XwCclZaWpqlTp5qajYmJsTiNPTIyMtw+9sEHH1Tz5s1tTAMAAAAAMINrSLAC3QL8Ed1C9nhfAGA3ugX/U7t2bdWuXVsjR47Upk2btHjxYq1Zs0Zr167V0aNHDZ8vR44cqlWrltq2bav27durfv36CgkJcXueG/cAAAAAMIprXrACXQj8EV1I9nhfALwjKSlJHTp00PLly02f44MPPlC/fv0sTBVYRo8erSeffNL0fKNGjTRnzhy/29zFSNdUuHBhffDBBzamAQAAAADfwXUvWIE+BP6IPiR7vC8A3kEfYp2IiAjde++9uvfee5WcnKyFCxdq5cqVWrt2rTZu3KjExETD5yxcuLAaNWqk9u3bq0OHDrruuuvcnk1LS9OuXbsMP2aNGjUMz3gLa0MAXAubOgMAfFLu3LkNz2zYsEF169a1IQ38UWpqqoYNG2ZqNjQ0VAMGDNArr7yiQoUKWRvMAH+6mAnrmL3Ia+YiilPMZPW3X3oF7Fa+fHlt2bLF0MyePXvsCWMhsxnZ1BkAAAAA8Df6BXiKfgH+in4he/QLgLPmzp2rU6dOGZ4rVKiQ7r77busDOWzKlCmaMmWK0zFMe+211/Taa68ZnsufP7/Onz9vfSAAAAAAsAjdAjxFtwB/RbeQPboFAL6EbsH31KlTR3Xq1Pnnn8+cOaMDBw7o0KFD+uuvv3ThwgUlJSUpKSlJ6enpioqKUr58+ZQvXz6VKVNGNWrUUOXKlRUWFmY6g9H1RJJUtmxZ5c2b1/RjAgAAAPBvdCHwFF0I/BVdSPboQgD7JScnq2PHjlq6dKnpc7z11lsaNGiQdaECzJgxY/TEE0+Ynr/55pv1448/KioqysJUvufMmTMqWrSo0zFMO3TokKHND/7XrFmzAnJtEgAAAIArow+Bp+hD4K/oQ7JHHwLYjz7EPrly5VLHjh3VsWNHSVJGRoYOHz6sQ4cO6eDBgzp27JgSExP/WbsQFhamvHnzKl++fCpYsKCqVKmiG264QSVKlDCdYefOnUpNTTU85y8bDrM2BEB22NQZAOCTzFz8OX78uA1J4K+++OIL/fXXX4bnChYsqJkzZ6pp06bWhzIoOTnZ6QhwQFhYmCIjIw1foDh9+rQqVqxoUyprmblxu5lSFAhkZjZ1/uuvv5SWlqaIiAh7Qllg7969hmcKFy7MxUMAAAAAwD/oF+Ap+gX4K/qF7NEvAM6aMGGCqbn7779fOXLksDgNAAAAAADZo1uAp+gW4K/oFrJHtwAAMKJw4cIqXLiw6tWr55XHi4+P186dOw3PeSsfAAAAAN9EFwJP0YXAX9GFZI8uBLDXxYsXddddd2nx4sWmzzF06FA9//zzFqYKLOPGjdNjjz0ml8tlar527dr65ZdflC9fPouTAQAAAACcRB8CT9GHwF/Rh2SPPgSwF32Id4WFhalcuXIqV66cmjRp4pXHXLNmjak5f127wNoQAJIU6nQAAACyU7hwYcMzJ06csCEJ/NXYsWMNzxQoUEDLly/3iQvfEhe/g1mxYsUMz5i5oOwUM1mLFy9uQxLAf1WvXt3wTEZGhg4cOGBDGuuY2dS5WrVqNiQBAAAAAPgr+gV4in4B/ox+4XL0C4Bzjh07pl9++cXUbExMjMVpAAAAAAC4MroFeIpuAf6MbuFydAsAAF+2YsUKpaenG55r1qyZDWkAAAAA+Au6EHiKLgT+jC7kcnQhgH3+3sBg4cKFps/x3HPPadiwYdaFCjDjx49Xv379TG/ofMMNN2jhwoUqWLCgxckAAAAAAE6jD4Gn6EPgz+hDLkcfAtiHPiQ4mNmwOzQ0VI0bN7YhTeBhbQjgm9jUGQDgk8qWLWt45tChQzYkgT/asmWLtm7danjuq6++Us2aNW1IZM7JkyedjgCHlCxZ0vCMvxSAaWlpio2NNTxn5jkBAtlNN91kam7btm0WJ7HOqVOnTL331alTx4Y0AAAAAAB/Rb8AT9AvwN/RL1yOfgFwzuTJk5WRkWF47qabbjLdgwAAAAAAYAbdAjxBtwB/R7dwOboFAIAvW7Jkiak5X7lhJAAAAABn0IXAE3Qh8Hd0IZejCwHskZKSok6dOmnBggWmzzFw4EC9/fbbFqYKLJMmTVLfvn1Nb+hcpUoVLVq0SEWKFLE4GQAAAADAF9CHwBP0IfB39CGXow8B7EEfEhxcLpeWLVtmeO6mm25S/vz5rQ8UgFgbAvgmNnUGAPgkMxe/d+7caUMS+KMZM2YYnrn//vvVrl07G9KYd/ToUacjwCFmLvTu2bPHhiTW27dvnzIzMw3PcfEbyMrsRsYbN260OIl1zGZjYwcAAAAAwP+iX4An6Bfg7+gXLke/ADhn4sSJpuZiYmIsTgIAAAAAwNXRLcATdAvwd3QLl6NbAAD4ssWLFxueKVq0qG644QYb0gAAAADwF3Qh8ARdCPwdXcjl6EIA66Wmpqpz58765ZdfTJ/jkUce0YcffmhdqAAzZcoU9enTx/SGzhUqVNCSJUtUokQJi5MBAAAAAHwFfQg8QR8Cf0cfcjn6EMB69CHBY+vWrYqNjTU816xZMxvSBCbWhgC+iU2dAQA+KTo62vAMF7/xt+XLlxs6PiQkRMOGDbMnjAcOHz7sdAQ4pFSpUoZndu/ebUMS6/3xxx+GZyIiIlSkSBEb0gD+q3z58ipYsKDhuU2bNtmQxhpmN3U2u8E1AAAAACAw0S/AE/QL8Hf0C1nRLwDOWbFihanFOzly5FCPHj1sSAQAAAAAwJXRLcATdAvwd3QLWdEtAAB82b59+7R161bDc02aNFFISIgNiQAAAAD4C7oQeIIuBP6OLiQruhDAeqmpqerSpYt++ukn0+fo1auXPv/8cwtTBZavvvpKvXv3NrVxi3RpU68lS5aYek8AAAAAAPgP+hB4gj4E/o4+JCv6EMB69CHBZfr06abmmjZtam2QAMXaEMB3sakzAMAnVa5c2fDM3r17df78eevDwK9cvHhR69atMzRzxx13mPqZs9v27dudjgCHmPl59JcCcNeuXYZnKleuzMUBIBu1a9c2PLNx40a5XC7rw1hgw4YNhmdy5Mih6tWr25AGAAAAAOCv6BdgFv0CAgH9Qlb0C4BzJkyYYGru7rvvVsGCBS1OAwAAAADA1dEtwCy6BQQCuoWs6BYAAL7sm2++MTXXoUMHi5MAAAAA8Dd0ITCLLgSBgC4kK7oQwFppaWm69957NW/ePNPn6N69u8aPH8+fzSv4+uuv9dBDD5ne0LlkyZJasmSJqY29AAAAAAD+hT4EZtGHIBDQh2RFHwJYiz4k+Hz33XeGZ6KiotjU2U2sDQF8F5s6AwB80vXXX6+8efMamsnMzNTKlSttSgR/8eeffyolJcXQTPv27W1K45mtW7c6HQEOqVWrluGZ/fv369SpUzaksdaqVasMz5h5PoBgcNtttxmeOXPmjLZt22ZDGs9kZmZqxYoVhuduvvlmhYeH25AIAAAAAOCv6BdgFv0CAgH9Qlb0C4Az4uPjNX36dFOzMTExFqcBAAAAAODa6BZgFt0CAgHdQlZ0CwAAX/btt98ansmRI4c6depkQxoAAAAA/oQuBGbRhSAQ0IVkRRcCWCc9PV3dunXTDz/8YPocXbp00ZQpUxQayq2hs/Pdd9/pgQceUEZGhqn54sWLa/HixapYsaLFyQAAAAAAvog+BGbRhyAQ0IdkRR8CWIc+JPhs2rRJe/bsMTx35513KioqyoZEgYe1IYDv4p0KAOCTQkNDVbduXcNzy5Ytsz4M/Mq+ffsMzzRq1MiGJJ5JSUnR5s2bnY4Bh5i92GvmwrI3uVwurV692vAcF7+B7LVs2dLU3KJFiyxO4rkNGzbo3LlzhufMPgcAAAAAgMBFvwCz6BcQCOgXsqJfAJzxzTffKDEx0fBc2bJl1aJFCxsSAQAAAABwdXQLMItuAYGAbiErugUAgK9as2aNtm/fbniuXbt2ypcvnw2JAAAAAPgTuhCYRReCQEAXkhVdCGCN9PR0de/eXbNmzTJ9jg4dOujrr79WeHi4hckCx4wZM9SjRw/TGzoXLlxYixYtUtWqVS1OBgAAAADwVfQhMIs+BIGAPiQr+hDAGvQhwWns2LGm5rp3725xksDE2hDAt7GpMwDAZ918882GZ2bPnm19EPgVMxe/r7/+ehuSeGblypVKSkpyOgYcUrhwYZUsWdLw3NKlS21IY50tW7bo7Nmzhue4+A1kr2HDhoqKijI854ubOi9cuNDUHJs6AwAAAACyQ78AM+gXEAjoF7KiXwCcMWHCBFNzDz30kEJD+XVGAAAAAIAz6BZgBt0CAgHdQlZ0CwAAX/XBBx+YmuPGSAAAAAD+RhcCM+hCEAjoQrKiCwE8l5GRoZ49e2r69Ommz9G6dWtNnz5dERERFiYLHLNnz1b37t2Vnp5uar5gwYJauHChatSoYXEyAAAAAICvow+BGfQhCAT0IVnRhwCeow8JTmfPntWXX35peK5AgQJq06aNDYkCD2tDAN/GXRABIMCEhYUZnsnMzLQhieeaNGlieGbfvn3asGGDDWngL4xeWMubN6/y5ctnUxrz5s+f73SEqzJ6M21ffZ3xZbfddpvhmR9++MGGJNaZNWuW4ZnQ0FA1bNjQhjSA/4uIiDD1eWnZsmWKj4+3IZF5c+fONTyTP39+1a9f34Y0AAAAABCc6BfoF4Id/YJ30C/Yj37hEvoFwBm///671qxZY3guJCREvXv3tiERAAAAAMBOdAt0C8GObsE76BbsR7dwCd0CAMBXHT58WDNnzjQ8lzdvXnXo0MGGRAAAAEDwoAuhCwl2dCHeQRdiP7qQS+hCAM9lZmbqwQcf1Lfffmv6HM2aNdOsWbOUI0cOC5MFjrlz5+ree+9VWlqaqfl8+fJp/vz5uummmyxOBgAAAACBiz6EPiTY0Yd4B32I/ehDLqEPATxHHxK8xowZo6SkJMNz99xzjyIjI21IFFhYGwL4PjZ1BoAAExERYXgmPT3dhiSea968ufLmzWt4bsqUKTakgb9ITEw0dHyePHlsSmJeZmamvv76a6djXJXR1xpffZ3xZS1atDA8c+jQIW3evNmGNNYwc/G7Tp06KlSokA1pgMDQqlUrwzMXL17U7NmzrQ9j0oEDB7R27VrDc82bNzf1ix8AAAAAgOzRL9AvBDv6Be+gX7Af/cIl9AuAM8aPH29qrlmzZipfvrzFabxjy5YtcrlcfvV14MABU9/r0KFDTT3e+fPnrX3SAQAAAPgMugW6hWBHt+AddAv2o1u4hG4BgLfQLdAtGDV8+HBTn3Eefvhh5cqVy4ZEAAAAQPCgC6ELCXZ0Id5BF2I/upBL6EIAz2RmZqp3796aNm2a6XM0atRIc+fO5drtFfz000+65557TG/onCdPHv3000+qX7++xcl8y6BBgxzvjsx8mdlYLTo62vTj3X333dY/+QAAAECAog+hDwl29CHeQR9iP/qQS+hDAM/QhwSvCxcuaNSoUaZmn3jiCYvTBCbWhgC+j02dASDAREZGGp5JTk62IYnncuTIoTZt2hiemzhxIou2g5jRi9+hob73cWjRokU6cuSI0zGuyuhrja++zviyli1bmpqbOHGixUmssXbtWu3YscPwnJkSAAgmXbp0MfVe5kslq9ksXbt2tTgJAAAAAAQ3+gX6hWBHv+Ad9Av2o1+4hH4B8L60tDR9+eWXpmZjYmIsTgMAAAAA8Aa6BbqFYEe34B10C/ajW7iEbgEA4Iu2b99u6j03PDxcgwYNsj4QAAAAEGToQuhCgh1diHfQhdiPLuQSuhDAPJfLpb59+3q0wVODBg30008/KSoqysJkgWP+/Pnq3LmzUlNTTc3nypVL8+bN02233WZxMgAAAAAIfPQh9CHBjj7EO+hD7Ecfcgl9CGAefUhwGzFihGJjYw3PtWzZUjfeeKMNiQILa0MA/+B7f9sDAHgkV65chmcuXLhgQxJrdOrUyfBMQkKCPv/8cxvSwB8YvZht9GK5N3z44YdOR7gmo681vvw646vKly+vihUrGp6bMmWKT/5cjx492tRcq1atLE4CBJbSpUurcePGhucWLlzoE0VrZmamJk2aZHguT5486tixo/WBAAAAACCI0S/QLwQ7+gXvoF+wH/3CJfQLgPfNmzdPp06dMjyXP39+de7c2YZEAAAAAAC70S3QLQQ7ugXvoFuwH93CJXQLAABfNHjwYGVkZBieu+eee1S2bFkbEgEAAADBhS6ELiTY0YV4B12I/ehCLqELAcxxuVzq16+fJkyYYPocdevW1fz585U3b14LkwWOxYsX6+6771ZKSoqp+Zw5c+qHH35QkyZNLE4GAAAAAMGBPoQ+JNjRh3gHfYj96EMuoQ8BzKEPCW779u3Txx9/bGr26aeftjhNYGJtCOAf2NQZAAJMrly5DF+Uio2NtSmN5+6++24VKlTI8Nw777zj098X7JM7d25Dx58/f14JCQk2pTFuw4YN+vnnn52OcU2FCxc2dDx/Hs3p1q2b4ZkLFy54dLHLDkeOHNG3335reO66664ztVktEGx69uxpeCY9Pd30xVErzZ07V3v27DE817lzZ8Pv+QAAAACAq6NfuIR+IXjRL3gH/YJ30C/QLwBOMPsa0r17d1MLPQEAAAAAzqNbuIRuIXjRLXgH3YJ30C3QLQAAfM///d//adGiRaZmhwwZYnEaAAAAIDjRhVxCFxK86EK8gy7EO+hC6EIAs5544gmNGzfO9HytWrW0YMEC5c+f38JUgWPZsmXq2LGjLl68aGo+MjJSM2bMUMuWLS1OBgAAAADBgz7kEvqQ4EUf4h30Id5BH0IfAphFHxK8MjIy9OCDDyolJcXwbI0aNdS6dWsbUgUW1oYA/oNNnQEgABUtWtTQ8YcPH7Ypiedy5cqlPn36GJ47f/68Xn75ZRsSwdflzZvX8MyuXbtsSGLO888/73QEtwTS64wve/DBB03NjRgxQomJiRanMe+1114zdRGmZ8+eCgsLsyEREFjuuece5cyZ0/Dc2LFjFR8fb0Mi940cOdLUnJmNrAEAAAAA1xZI1/3oF2AU/YJ3BNLrjC+jX6BfALzt+PHjphd5xcTEWJwGAAAAAOBNgXTNj24BRtEteEcgvc74MroFugUAgG/ZvXu36Zvv3H333apbt67FiQAAAIDgFUjXKOlCYBRdiHcE0uuML6MLoQsBzBg0aJBGjx5ter569epatGiRqY2kgsHKlSvVoUMHJSUlmZoPDw/Xd999p3bt2lmcDAAAAACCTyBdp6QPgVH0Id4RSK8zvow+hD4EMIM+JLiNGDFCq1atMjX7xhtvWJwm8LA2BPAvbOoMAAGoePHiho7/888/bUpijf79+5u6+DF27FgtWLDAhkTwZaVLlzY8s2LFChuSGDd16lQtXrzY6RhuMfo6s2fPHrlcLpvSBK7rr79eN998s+G5kydP6v3337chkXE7duzQpEmTTM2avfgPBJv8+fPrvvvuMzx34cIFvffeezYkcs/8+fP166+/Gp6rVKmSmjdvbkMiAAAAAAD9wiX0C8GJfsE76Be8g36BfgHwtsmTJysjI8PwXI0aNVS/fn0bEgEAAAAAvIVu4RK6heBEt+AddAveQbdAtwAA8B1nzpzR3XffbWoTi8jISJ95bwYAAAACBV3IJXQhwYkuxDvoQryDLoQuBDDqmWee0UcffWR6vkqVKlq8eLHhzWqCxerVq9WuXTvTG8WEhYVp2rRpuuuuuyxOBgAAAADBiT7kEvqQ4EQf4h30Id5BH0IfAhhFHxLc5syZo+HDh5uabd68OT3NNbA2BPA/bOoMAAGoYsWKho7/888/lZycbFMaz0VHR6tr166G51wulx588EGdOHHChlTwVeXLlzc88/3339uQxJijR4/qqaeecjqG24y+ziQmJmrv3r02pQlsjz76qKm5N998Uzt37rQ4jTEZGRmKiYlRenq64dlbb71VNWrUsCEVEJieeeYZhYSEGJ57//33dejQIRsSXV16errp970hQ4YoNJTLGQAAAABgB/qFS+gXghP9gnfQL3gP/QIAb5o4caKpuZiYGIuTAAAAAAC8jW7hErqF4ES34B10C95DtwAAgPOSk5N155136o8//jA1P2jQIMOfnwAAAABcHV3IJXQhwYkuxDvoQryHLgSAu1588UWPbpJesWJFLVmyRCVKlLAwVeBYv3692rRpo/j4eFPzoaGhmjJliqnPtQAAAACA7NGHXEIfEpzoQ7yDPsR76EMAuIs+JLitXr1a9913nzIyMgzPhoWF6YMPPrAhVeBgbQjgn9gFCQACUJUqVQwdn56erpUrV9qUxhpvvvmmcuTIYXju5MmT6tChg+lf2oL/ueGGGwzPrFu3TuvXr7chjXvS0tLUtWtXxcbGOpbBKKOvM5K0bNky64MEgZ49e6ps2bKG51JTU/XQQw8pNTXVhlTuefPNN03/2XrppZcsTgMn9erVSyEhIYa/evXq5XR0v1G9enV16NDB8FxycrIGDBhgQ6KrGzVqlH7//XfDc8WLF9dDDz1kQyIAAAAAgES/8L/oF4IP/YJ30C94D/0CAgH9gn/49ddf9eeffxqei4yMVM+ePW1IBAAAAADwJrqFf9EtBB+6Be+gW/AeugUEAroFAP7swoULat++vVavXm1qvnjx4ryvAQAAADagC/kXXUjwoQvxDroQ76ELQSCgC7HfsGHD9NZbb5mej46O1pIlS1SqVCkLUwWOzZs3q3Xr1oqLizM1HxISovHjx+v++++3OBkAAAAABDf6kH/RhwQf+hDvoA/xHvoQBAL6EPvRhwS35cuXq127dkpOTjY1/8gjj6hmzZoWpwocrA0B/BebOgNAAKpevbrhmenTp9uQxDrly5c3veHgxo0bdddddykxMdHiVPbbu3evfvjhB6dj+JVSpUqpdOnShudefPFFG9Jcm8vl0sMPP2z6L1NOCcTXGV8VERGhZ555xtTsxo0b1a9fP4sTuWfevHkaNmyYqdk6deqoXbt21gb6f+zdeZhWdd0/8M/sw8DgiuCOKAKammKK+JA+igouVC5pbpmpWT9TH9TMLHvUUisxLTPKFXctAxUXXEkLF9wVRRFN1FwBlX0Z5vdHYfmk3IdhZr73mfN6XRd/5NU595sZ7nOf+7zP93ygAE4++eQWbXfLLbfEr3/961ZO89keffTR+OEPf9iibY877rior69v5UQAAAAs1RGv++kXyEq/0D464nGmXOkXgPZy2WWXtWi7vfbaK7p169bKaQAAAGhvHfGan26BrHQL7aMjHmfKlW4BANKZNm1abL/99nH//fe3eB8XXXRRdO3atRVTAQAAER3zGqUuhKx0Ie2jIx5nypUuBCjlrLPOitNPP73F26+zzjpx3333tWhgShE8++yzscsuu8TMmTNbtH1FRUWMHDnSUA4AAIA20BGvU+pDyEof0j464nGmXOlDgFL0IcV23XXXxa677hoffPBBi7Zfb7314qyzzmrdUB2ItSGQb4Y6A3RAAwYMWO5trrnmmnj77bfbIE3rOfXUU6NHjx4t2vb++++PHXbYoez/jktNmTIlDjvssOjbt2/ccccdqePkzqBBg5Z7m3vuuScuueSSNkjz2Zqbm+M73/lOXHnlle36uq1hyy23XO6hmvfcc08888wzbZSoYzviiCNaVOpERFxxxRXxk5/8pJUTLdujjz4aBx54YCxZsqRF2//4xz9u5URQDNtvv33sscceLdr2pJNOapci9p133on9998/Fi1atNzbrrXWWvHd7363DVIBAACwlH7hP+kXikW/0Pb0C+1LvwC0tVmzZsUf/vCHFm17+OGHt3IaAAAAUtAt/CfdQrHoFtqebqF96RYAKIKhQ4fGuHHjorm5OXWUiPjHQ5G23HLLmDRpUov3cdRRR8Xee+/diqkAAICldCH/SRdSLLqQtqcLaV+6EOCzjBgxIk499dQWb7/mmmvGfffdF7169WrFVB3HCy+8EIMHD47p06e3eB+/+tWv4qijjmrFVAAAACylD/lP+pBi0Ye0PX1I+9KHAJ9FH9J+Ro8eHSeccEL87W9/Sx0lIv7xrLCjjjoqDjzwwFi4cGGL9lFVVRVXX311rLzyyq0broWsDQFam6HOAB3Q+uuvH+uuu+5ybTNnzpw44ogjYvHixW2UasWttNJKcfnll0dFRUWLtn/88cdjm222ifHjx7dusFZ0//33x1e+8pXo27dvjBo1KpqamlJHyqWvfOUrLdrumGOOiQcffLCV03y6efPmxf777x8jR45sl9drbbW1tbH11lsv1zZLliyJb3zjGzFnzpw2StVx1dfXx/nnn9/i7X/0ox+12wXlv/71r7HLLrvErFmzWrT9HnvsEcOGDWvlVFAcF1xwQdTV1S33dgsWLIihQ4fGE0880Qap/mH69OkxePDgFl88/sUvfhFdunRp3VAAAAB8gn7h0+kXikO/0Pb0C+1LvwC0tRtuuKFFx+e11lordttttzZIBAAAQHvTLXw63UJx6Bbanm6hfekWACiCO++8M4YMGRKbbLJJnHvuufHOO+8kyfHyyy/H3nvvHQceeGDMmDGjxfvp27dv/PKXv2zFZAAAwL/ThXw6XUhx6ELani6kfelCgE9z4YUXxoknntji7ddYY4249957o3fv3q2YquOYMmVK7LzzzvHuu++2eB8jRoyIY445phVTAQAA8O/0IZ9OH1Ic+pC2pw9pX/oQ4NPoQ9rXhx9+GOedd15stNFGMWzYsBgzZkwsWrSo3XM0NzfH6NGjY7PNNouLL754hfb1gx/8IAYNGtRKyVactSFAazPUGaCD2nXXXZd7m9tuuy2GDBkSr7zyShskah1DhgyJ4447rsXbv/7667HTTjvF8ccfHx9++GErJmu59957L37961/HZpttFjvttFOMGTMmlixZkjpWru2xxx7RuXPn5d5uwYIFsfvuu8ftt9/eBqn+5fnnn4//+q//ij/84Q9t+jptrSUP2X7iiSdi0KBB8dRTT7V+oA5un332iT322KPF259xxhlx8MEHt2n5cMkll8TgwYPjo48+atH2DQ0NceGFF7ZyKiiWDTfcsMUXxD/88MPYZZdd4v7772/lVBGvvvpq7LTTTvHcc8+1aPtBgwbFgQce2MqpAAAA+DT6hU+nXygG/UL70C+0L/0C0JYuu+yyFm339a9/Paqqqlo5DQAAAKnoFj6dbqEYdAvtQ7fQvnQLABTF5MmT46STTop11lknhg4dGpdeemm8//77bf66L774Yhx++OHRr1+/GD169Artq66uLq699tpoaGhopXQAAMCn0YV8Ol1IMehC2ocupH3pQoB/d/HFF8exxx7b4u1XW221uPfee6Nfv36tmKrjWPrcqbfeeqvF+zj77LNj+PDhrZgKAACAT6MP+XT6kGLQh7QPfUj70ocA/04fkk5TU1Pceuut8ZWvfCXWXnvt+Pa3vx333HNPLF68uM1f9+abb47+/fvH3nvvHa+99toK7W/gwIFx2mmntVK61mVtCNBaDHUG6KD222+/Fm137733Rp8+fWLfffeNa6+9Nl5//fVWTrbizjnnnOjfv3+Lt29ubo4LLrggevXqFSNGjIjZs2e3YrpsPvjgg7juuutir732irXWWiuOPfbYFg855D81NDTE17/+9RZtO3v27Nhzzz3juOOOi/nz57dqrjlz5sSZZ54ZW221VTzxxBMl//+9evVq1ddvbS09zjz55JOx1VZbxW677RaXXnppvPzyy62crOO68MILo7GxscXbX3PNNdG/f/+47777WjFVxBtvvBFf/epX48gjj1yh980ZZ5wRPXv2bL1gUFA/+MEPWvwZMmPGjNhll13irLPOiqamplbJM2bMmNhqq63imWeeadH2tbW18Zvf/KZVsgAAAFCafuGz6Rc6Pv1C+9AvtD/9AtAWJk+eHA899FCLtv3GN77RymkAAABISbfw2XQLHZ9uoX3oFtqfbgHIYscdd4yKiopW/9PSHuG///u/2yTPYYcd1ro/OMrO4sWL484774wjjjgievToEQMGDIgf/ehHcf/997faOfxrr70WF110UQwYMCD69u0bl19++Qo/hKmysjKuvvrq2HLLLVslIwAA8Nl0IZ9NF9Lx6ULahy6k/elCgKV++tOfRnNzc4u3nz59emy22WZt0lG0x58rrrii9X6Yn2LUqFHxxhtvrNA+TjnllOQ/p5b+2XHHHVvnBwkAANAO9CGfTR/S8elD2oc+pP3pQ4Cl9CFXtN4PcwW89957MXLkyNhll12iW7dusffee8dFF10Uzz33XCxZsmSF97948eJ4+OGHY/jw4bH22mvHl7/85XjyySdXeL8bbrhhjBkzJqqrq1d4X23J2hBgRZX3UQ6AFtt5551jzTXXjLfeemu5t128eHHcdNNNcdNNN0VExCqrrBIbbLBBdO/ePVZeeeWoq6uLqqqq5d7v2WefHd26dVvu7f6vurq6GDt2bAwcODBeffXVFu9nxowZceKJJ8bpp58eBx10UBx22GGxzTbbREVFxQpn/L8WLVoUTz75ZIwfPz5uu+22mDBhwgqfVLNsw4cPj9/97nctGkjZ3Nwcv/rVr2LcuHFx4oknxkEHHRSdOnVqcZZ33nknRo0aFeeee2689957mbapqqqKq666KrbffvsWv25b69OnT3zhC1+IiRMnLve2zc3Ncdddd8Vdd90VERGNjY3Rq1ev6N69e6y66qpRV1fXoi/kJ5xwQvTr12+5t8uLnj17xuWXXx777rtvi/fx4osvxs477xx77bVXnHTSSTFo0KAW7+vNN9+M3/72t3H++efHnDlzWryfiIhhw4bF8OHDV2gfwD80NDTEjTfeGAMHDoyFCxcu9/ZNTU1x6qmnxtVXXx0///nPY88992xRjqeffjq+973vfXysb6kRI0bEZptttkL7AAAAIDv9Qmn6hY5Nv9D29AvtT78AtIVLL720RdsNGjQoevfu3cppAAAASEm3UJpuoWPTLbQ93UL70y0AUFRNTU3xyCOPxCOPPBI/+clPorKyMvr16xdbbLFF9OnTJzbeeONYe+21o0ePHrHaaqtFfX191NfXx6JFi2Lu3LkxZ86ceO+992Lq1KkxderUeO655+KBBx6IadOmtXrW8847b4U+qwEAgOx0IaXpQjo2XUjb04W0P10IAAAAAHySPqQ0fUjHpg9pe/qQ9qcPAShfH3zwQYwePTpGjx4dERFdunSJrbbaKjbddNPo06dPbLjhhtGjR4/o0aNHNDY2Rn19fdTU1MS8efNizpw5MXv27HjjjTdi6tSp8fLLL8fEiRNjwoQJK3x8/b+6desWd955Z6ucl7cna0OAljDUGaCDqq6ujuOPPz5OPvnkFd7XzJkzY+bMmSu8n+9///utdpLdo0ePGDduXAwcODDef//9FdrXrFmzYuTIkTFy5MhYY401YujQobHddtvFVlttFZtttlnU19cv1/6mT58ekydPjhdeeCFeeOGFmDhxYjz22GMxb968FcrJ8tlwww3jyCOPjJEjR7Z4Hy+++GIceeSR8f3vfz8OPvjg2GGHHWLgwIHRvXv3ZW63ZMmSmDRpUowfPz7GjRsX48aNW+6y43vf+14MHDiwxdnby4knnhj777//Cu9n1qxZ8fTTT6/wfg444IAOffE7ImKfffaJE088Mc4999wV2s+tt94at956a2y22Wax9957x2677Rb9+/eP2traZW73t7/9Le6+++4YO3Zs3H777a1S5G200UZx5ZVXtkn5CEXVv3//GDFiRHz3u99t8T5eeOGF2GuvvaJ3795xyCGHxLBhw2LTTTf9zHKyubk5pk6dGnfffXdcddVV8dBDD7X4tZfad99945hjjlnh/QAAAJCdfiE7/ULHpF9oH/qF9qdfAFrT4sWL46qrrmrRtocffngrpwEAACA13UJ2uoWOSbfQPnQL7U+3AAD/Ot+aNGlS6iifcOKJJ8Zxxx2XOgYAABSGLiQ7XUjHpAtpH7qQ9qcLAQAAAIB/0Ydkpw/pmPQh7UMf0v70IQD5MHv27HjggQfigQceSB3lYw0NDTF27NjYaKONUkdZYdaGAFkY6gzQgR199NExYsSIePfdd1NHaRO9e/eOO+64I4YMGRLTp09vlX2+++67MWrUqBg1alRERFRUVMQaa6wR66yzTnTv3j0aGhqiU6dOUV1dHQsWLIj58+fH/PnzY/r06fH222/HO++8E/Pnz2+VLKy4n/70p/HHP/5xhQuS6dOnxwUXXBAXXHBBRESsv/760aNHj1hllVVilVVWidra2pgzZ07MmjUrXnvttXjllVdi4cKFLX69rbfeOk4//fQVytxe9tlnn9h0003L7otnR3fOOefEpEmT4o477ljhfT377LPx7LPPxumnnx5VVVXRq1ev6NWrVzQ2NkaXLl1i4cKFMWvWrHjnnXdi8uTJ8dFHH7XC3+BfVl111Rg9enSstNJKrbpfIOKYY46Jv/zlL3HDDTes0H6mTJkSp512Wpx22mnRqVOn+NznPhfdunWLlVdeOaqqquKDDz6IGTNmxKRJk+KDDz5onfDxj3O9Sy+9tNX2BwAAQHb6heWnX+hY9AttT7+Qhn4BaC1jx46Nd955Z7m3a2xsjP32268NEgEAAJCabmH56RY6Ft1C29MtpKFbAIDyc/zxx8fPf/7z1DEAAKBwdCHLTxfSsehC2p4uJA1dCAAAAAD8iz5k+elDOhZ9SNvTh6ShDwFgea200koxZsyY2GabbVJH6bCsDYHyY6gzQAfWtWvXOP/88+PAAw9MHaXNbL311vGXv/wlhgwZEq+99lqr77+5uTneeeedFj2MmPRWXXXVuPTSS+NLX/pSq+73tddea5N/bxERvXr1irFjx0ZNTU2b7L+1VVVVxe9+97sYNGhQNDc3p45TGFVVVfGnP/0p9txzz7j33ntbbb9NTU0xZcqUmDJlSqvtc1lWWmmluOuuu+Jzn/tcu7weFNGoUaNi5syZcdddd7XK/ubNmxcTJ05slX0ty3rrrRf33HNPdO3atc1fCwAAgP+kX1hx+oV80y+0Pf1CGvoFoLVcdtllLdpu//33j86dO7dyGgAAAMqBbmHF6RbyTbfQ9nQLaegWAKC8nHPOOXHyySenjgEAAIWkC1lxupB804W0PV1IGroQAAAAAPgXfciK04fkmz6k7elD0tCHALA81lxzzbjjjjtiiy22SB2lw7I2BMpTZeoAALStr33ta3HooYemjtGm+vbtGxMmTHAyz6caNmxYnHTSSaljZNKtW7cYN25cdO/ePXWU5bL99tvHj370o9QxCqe+vj5uueWW+OIXv5g6Sot07do17rzzzujfv3/qKNCh1dXVxZgxY2KHHXZIHSWzNddcM+69995Yb731UkcBAAAoNP0CRadfaHv6hTT0C8CKevvtt+OOO+5o0baHH354K6cBAACgnOgWKDrdQtvTLaShWwCA9Kqrq+OKK67w0B4AAEhMF0LR6ULani4kDV0IAAAAAPyLPoSi04e0PX1IGvoQALLo3bu3c+U2ZG0IlDdDnQEK4JJLLonddtstdYw2tdZaa8WECRPiW9/6VuoolKFzzjknDjrooNQxlqlbt25x5513xkYbbZQ6SoucfvrpHsCdQENDQ4wbNy4OOeSQ1FGWy4YbbhgTJkyIAQMGpI4ChdCpU6cYO3ZsDB48OHWUknr27Bn33ntvbj8PAQAAOhr9AkWnX2h7+oU09AvAihg1alQsXrx4ubfr27dvbLfddm2QCAAAgHKiW6DodAttT7eQhm4BANLp1atXPPDAA/H1r389dRQAACB0IaALaXu6kDR0IQAAAADwL/oQik4f0vb0IWnoQwBYlgMOOCAeffTR6NmzZ+ooHZK1IVD+DHUGKICampoYO3ZsfPvb304dpU01NDTEyJEjY/To0bHaaquljkMZqaysjCuuuCL233//1FE+1aabbhqPPvpobLXVVqmjrJBLL700zjzzzKisdIrZnurr6+PKK6+Mc889N6qqqlLHKWnw4MHx6KOPxqabbpo6ChRKly5d4s4774z/+Z//SR3lM+20007x2GOPRb9+/VJHAQAA4J/0CxSdfqF96BfS0C8ALXXZZZe1aDuLqQAAAIpBt0DR6Rbah24hDd0CALS/Qw45JJ566qnYbrvtUkcBAAD+SRdC0elC2ocuJA1dCAAAAAD8gz6EotOHtA99SBr6EAD+r65du8aoUaPiuuuui5VXXjl1nA7J2hDIB99MAAqiuro6Lrroorjjjjtio402Sh2nTX35y1+OF154Ib71rW/l4kLQZ2lsbIxvfetbcdxxx6WO0iFUV1fHddddF6ecckrqKJ+w5557xoQJE6Jnz56po7SKH/7wh/HQQw9F//79U0cpnBNOOCEefPDBsr2o3Llz5xgxYkTceeedseqqq6aOA4VUVVUV5513Xlx99dXRpUuX1HE+VlFREcOHD49x48a5gQEAAKAM6RfyR7/QuvQL7UO/kI5+AVgef/nLX+Kll15a7u2qq6vj0EMPbYNEAAAAlCPdQv7oFlqXbqF96BbS0S0AQNtbf/314w9/+ENceeWV0djYmDoOAADwf+hC8kcX0rp0Ie1DF5KOLgQAAAAA9CF5pA9pXfqQ9qEPSUcfAkBExB577BFPPfWU54O1EWtDIF8MdQYomCFDhsTzzz8fV111VYe+ONWtW7cYOXJkPP300zF06NDUcTKrrKyMHXbYIS655JJ46623YuTIkdGvX7/UsTqMioqKOOuss+Lmm2+O7t27J82yxhprxJVXXhm33nprdO3aNWmW1rbNNtvExIkT4+abb44dd9wxdZxC2W677eLJJ5+M008/Perr61PH+djQoUPjueeei+HDh+e6lISO4qCDDorJkyfHfvvtlzpKbLnllvHQQw/FiBEjorq6OnUcAAAAlkG/UN70C21Lv9A+9Avp6BeArC677LIWbbf77rsn/wwFAACg/ekWyptuoW3pFtqHbiEd3QIAebbaaquljvCZVl111RgxYkS8+OKLse+++6aOAwAAlKALKW+6kLalC2kfupB0dCEAAAAA8A/6kPKmD2lb+pD2oQ9JRx8C0HZWWWWVsj6GbbvttvHnP/85xo4dGxtssEHqOC1ibQjQ2gx1BiigmpqaOPjgg+Oxxx6LyZMnx1lnnRU77LBDNDQ0pI7W6jbddNO4/fbb4+mnn44jjjgiOnXqlDrSf6iqqopBgwbF+eefH2+88UaMHz8+vvnNb0bnzp1TR+uwhg0bFs8991wcddRR7T5Asq6uLr797W/H5MmT45BDDmnX125PFRUVMWzYsLj//vtj2rRpccEFF8Ruu+0WK620UupoHV5NTU2cdtpp8eqrr8YJJ5yQ9Fiy6667xoMPPhi333579OzZM1kO4D+tvfbaceONN8bdd98dW221Vbu//lprrRUXXnhhTJw4Mbbddtt2f30AAABaRr9QXvQL7U+/0Pb0C+noF4BSZs+eHTfeeGOLtj388MNbOQ0AAAB5oVsoL7qF9qdbaHu6hXR0CwDk1VtvvRW33nprHHjggdHY2Jg6TkR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      "text/plain": [
       "<Figure size 10000x10000 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "NO_DISPLAY_IMAGES = 5\n",
    "torch_image_batch = torch.stack([torch_image] * NO_DISPLAY_IMAGES)\n",
    "t = torch.linspace(0, diffusion_model.timesteps - 1, NO_DISPLAY_IMAGES).long()\n",
    "noisy_image_batch, _ = diffusion_model.forward(torch_image_batch, t, device)\n",
    "\n",
    "plt.figure(figsize=(15,15))\n",
    "f, ax = plt.subplots(1, NO_DISPLAY_IMAGES, figsize = (100,100))\n",
    "\n",
    "for idx, image in enumerate(noisy_image_batch):\n",
    "    ax[idx].imshow(reverse_transform(image))\n",
    "    ax[idx].set_title(f\"Iteration: {t[idx].item()}\", fontsize = 100)\n",
    "plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29594362",
   "metadata": {},
   "source": [
    "## Overfit to racoon image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1ba9ca9b",
   "metadata": {},
   "outputs": [],
   "source": [
    "NO_EPOCHS = 2000\n",
    "PRINT_FREQUENCY = 400\n",
    "LR = 0.001\n",
    "BATCH_SIZE = 128\n",
    "VERBOSE = True\n",
    "\n",
    "unet = UNet(labels=False)\n",
    "unet.to(device)\n",
    "optimizer = torch.optim.Adam(unet.parameters(), lr=LR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1feb8ac5",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "Tracking run with wandb version 0.14.0"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "Run data is saved locally in <code>/home/ec2-user/diffusion_examples/cifar10/wandb/run-20230325_184101-rsufc7v2</code>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "Syncing run <strong><a href='https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon/runs/rsufc7v2' target=\"_blank\">snowy-flower-27</a></strong> to <a href='https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon' target=\"_blank\">Weights & Biases</a> (<a href='https://wandb.me/run' target=\"_blank\">docs</a>)<br/>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       " View project at <a href='https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon' target=\"_blank\">https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon</a>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       " View run at <a href='https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon/runs/rsufc7v2' target=\"_blank\">https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon/runs/rsufc7v2</a>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---\n",
      "Epoch: 0 | Train Loss 1.02589750289917\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---\n",
      "Epoch: 400 | Train Loss 0.014485917054116726\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---\n",
      "Epoch: 800 | Train Loss 0.008439159952104092\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---\n",
      "Epoch: 1200 | Train Loss 0.007102365605533123\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Tk6O0tDS1bNnSuYwYMUIVFRXav3+/8vPz5e3t7bJeWFiYWrduXW0deXl5Cg8Pd4ZfbeTk5OjEiRNq27atSy379+/X119/LUnKz89XVFSUy3rnf67Otdde6/xzYGCgJDlnsfn5+Ro8eLBL/8GDBys/P7/KscaPH6+8vDz16NFDU6dO1caNG93aDgCXH7dngIsWLdKECROc/2JPSUnRhg0blJqa6nLO5Jzw8HCFh4c7P4eEhGjt2rXasmWLy7+cbTYbFyXUUYsWLVw+V1RUaNKkSZo6dWqlvl26dHGeK7vQm+V/rlmzZm7XVVFRocDAwCpfUFtT2NbWz98Mf25bKioqKrWdY1lWtdvcr18/7d+/X+vXr9eHH36ocePG6aabbtLbb799ybcDgGe4NQMsLy9XTk6OYmJiXNpjYmKUnZ1dqzFyc3OVnZ3tPHR1zokTJxQcHKzOnTvr1ltvVW5ubo3jlJWVqbS01GW5Em3fvr3S527dusnLy6vadfr166c9e/bo6quvrrT4+PioZ8+eOn36tHbu3OlcZ+/evTp27Fi1Y1577bXKy8ur9pyXj4+Py6z0XB1FRUXy9vauVMe5Vzr17Nmzym28WD179tTWrVtd2rKzs2s8zOvv76/Y2Fj95S9/UUZGhtasWaPvv/++VtsB4PLjVgAeOXJEZ86cUUBAgEt7QECAioqKaly3c+fO8vX1VWRkpBISEpwzSOns4be0tDStW7dO6enp8vPz0+DBg1VQUFDteMnJybLb7c4lKCjInU25bBw8eFBJSUnau3ev0tPTtWzZMk2bNq3GdR5//HFt27ZNCQkJysvLU0FBgdatW6cpU6ZIknr06KGRI0fqgQce0I4dO5STk6OJEyfWOMu7++671bFjR40dO1afffaZ9u3bpzVr1mjbtm2Szs7s9+/fr7y8PB05ckRlZWW66aabFBUVpbFjx2rDhg06cOCAsrOzNXPmTGf4Tps2TS+//LJefvllffXVV5o9e7b27Nlz0fvt0UcfVVpaml544QUVFBRo0aJFWrt2rcu50p9bvHix3njjDX355Zf66quv9NZbb6ljx45q3bp1rbYDwOWnTleBunNo6ZwtW7Zo586deuGFF5SSkqL09HTndwMHDtRvf/tbXXfddYqOjtabb76p7t27a9myZdWON336dJWUlDiXgwcP1mVTGr17771X//nPf9S/f38lJCRoypQpF7zo4tprr9WmTZtUUFCg6OhohYeHa9asWc7zZJL0yiuvKCgoSEOHDtUdd9zhvMS/Oj4+Ptq4caM6dOigW265Rddcc43mz5/vnIneeeedGjlypIYPH6727dsrPT1dNptNmZmZGjJkiO6//351795dd911lw4cOOD8R1RsbKyefPJJPf7444qIiNA333yj3//+9xe938aOHaslS5ZowYIF6t27t1auXKlXXnlFw4YNq7J/y5Yt9eyzzyoyMlLXX3+9Dhw4oMzMTDVp0qRW2wHg8mOzfn5T2QWUl5erefPmeuutt3T77bc726dNm6a8vDxt2lS7J53MmzdPr7/+eqX7tn7ugQce0Lfffqv169fXaszS0lLZ7XaVlJTI39/f5buTJ09q//79Cg0NvawurBk2bJj69u3r8ngymO2Cf5cv8HSjBn8WaOslzj/zLFA0hJqy4HxuzQB9fHwUERGhrKwsl/asrCwNGjSo1uNYlqWysrIav8/Ly3OZsQAAUJ/cvgo0KSlJcXFxioyMVFRUlFatWqXCwkLFx8dLOnto8tChQ3rttdckScuXL1eXLl0UFhYm6ex9gQsXLnSej5Kkp556SgMHDlS3bt1UWlqqpUuXKi8vT8uXL6+PbQQAoBK3AzA2NlZHjx7V3Llz5XA41KdPH2VmZjpvHHY4HC73BFZUVGj69Onav3+/vL291bVrV82fP1+TJk1y9jl27JgefPBBFRUVyW63Kzw8XJs3b1b//v3rYRMvX1Vddg8AqB9unQNszK7Ec4DA+TgHCNTskp0DBADgSmFUAF4hk10Y7OdPugFwcYx4H2DTpk1ls9n03XffqX379m49AgxoDCzLUnl5ub777js1adKk3t75CJjMiAD08vJS586d9e233+rAgQOeLgeos+bNm6tLly5q0sSogzfAJWFEAEpnn/TRrVs3nTp1ytOlAHXi5eUlb29vjmAA9cSYAJTO/h9ITQ+RBgCYw6gABBqDMcu2XrhTHS061rC3OQCXM04kAACMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMVKcAXLFihUJDQ+Xn56eIiAht2bKl2r5bt27V4MGD1bZtWzVr1kxhYWFavHhxpX5r1qxRr1695Ovrq169eumdd96pS2kAANSK2wGYkZGhxMREzZgxQ7m5uYqOjtaoUaNUWFhYZf8WLVpo8uTJ2rx5s/Lz8zVz5kzNnDlTq1atcvbZtm2bYmNjFRcXp127dikuLk7jxo3Tjh076r5lAADUwGZZluXOCgMGDFC/fv2UmprqbOvZs6fGjh2r5OTkWo1xxx13qEWLFnr99dclSbGxsSotLdX69eudfUaOHKk2bdooPT29VmOWlpbKbrerpKRE/v7+bmwR0LDGLNt6ycZedGzaJRu7LpJaL3H++W9TbvBgJTCFO1ng1gywvLxcOTk5iomJcWmPiYlRdnZ2rcbIzc1Vdna2hg4d6mzbtm1bpTFHjBhR45hlZWUqLS11WQAAqC23AvDIkSM6c+aMAgICXNoDAgJUVFRU47qdO3eWr6+vIiMjlZCQoIkTJzq/KyoqcnvM5ORk2e125xIUFOTOpgAADFeni2BsNpvLZ8uyKrWdb8uWLdq5c6deeOEFpaSkVDq06e6Y06dPV0lJiXM5ePCgm1sBADCZtzud27VrJy8vr0ozs+Li4kozuPOFhoZKkq655hr9+9//1pw5c3T33XdLkjp27Oj2mL6+vvL19XWnfAAAnNyaAfr4+CgiIkJZWVku7VlZWRo0aFCtx7EsS2VlZc7PUVFRlcbcuHGjW2MCAOAOt2aAkpSUlKS4uDhFRkYqKipKq1atUmFhoeLj4yWdPTR56NAhvfbaa5Kk5cuXq0uXLgoLC5N09r7AhQsXasqUKc4xp02bpiFDhujZZ5/Vbbfdpvfee08ffvihtm69dFfLAQDM5nYAxsbG6ujRo5o7d64cDof69OmjzMxMBQcHS5IcDofLPYEVFRWaPn269u/fL29vb3Xt2lXz58/XpEmTnH0GDRqkN954QzNnztSsWbPUtWtXZWRkaMCAAfWwiQAAVOb2fYCNFfcB4nLBfYDApXPJ7gMEAOBKQQACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjEQAAgCMRAACAIxEAAIAjOT22yAAnGflULe6Lzp24hIVAsAdzAABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEaqUwCuWLFCoaGh8vPzU0REhLZs2VJt37Vr1+rmm29W+/bt5e/vr6ioKG3YsMGlT1pammw2W6Xl5MmTdSkPAIALcjsAMzIylJiYqBkzZig3N1fR0dEaNWqUCgsLq+y/efNm3XzzzcrMzFROTo6GDx+uMWPGKDc316Wfv7+/HA6Hy+Ln51e3rQIA4AK83V1h0aJFmjBhgiZOnChJSklJ0YYNG5Samqrk5ORK/VNSUlw+/+lPf9J7772nv/3tbwoPD3e222w2dezY0d1yAACoE7dmgOXl5crJyVFMTIxLe0xMjLKzs2s1RkVFhY4fP66rrrrKpf3EiRMKDg5W586ddeutt1aaIZ6vrKxMpaWlLgsAALXlVgAeOXJEZ86cUUBAgEt7QECAioqKajXGc889px9++EHjxo1ztoWFhSktLU3r1q1Tenq6/Pz8NHjwYBUUFFQ7TnJysux2u3MJCgpyZ1MAAIar00UwNpvN5bNlWZXaqpKenq45c+YoIyNDHTp0cLYPHDhQv/3tb3XdddcpOjpab775prp3765ly5ZVO9b06dNVUlLiXA4ePFiXTQEAGMqtc4Dt2rWTl5dXpdlecXFxpVnh+TIyMjRhwgS99dZbuummm2rs26RJE11//fU1zgB9fX3l6+tb++IBAPgZt2aAPj4+ioiIUFZWlkt7VlaWBg0aVO166enpGj9+vFavXq3Ro0df8Hcsy1JeXp4CAwPdKQ8AgFpz+yrQpKQkxcXFKTIyUlFRUVq1apUKCwsVHx8v6eyhyUOHDum1116TdDb87r33Xi1ZskQDBw50zh6bNWsmu90uSXrqqac0cOBAdevWTaWlpVq6dKny8vK0fPny+tpOAABcuB2AsbGxOnr0qObOnSuHw6E+ffooMzNTwcHBkiSHw+FyT+DKlSt1+vRpJSQkKCEhwdn+u9/9TmlpaZKkY8eO6cEHH1RRUZHsdrvCw8O1efNm9e/f/yI3DwCAqtksy7I8XUR9KC0tld1uV0lJifz9/T1dDkyycqhb3QuKT1yiQhqfpNZLnH/+25QbPFgJTOFOFvAsUACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICRCEAAgJEIQACAkQhAAICR6hSAK1asUGhoqPz8/BQREaEtW7ZU23ft2rW6+eab1b59e/n7+ysqKkobNmyo1G/NmjXq1auXfH191atXL73zzjt1KQ0AgFpxOwAzMjKUmJioGTNmKDc3V9HR0Ro1apQKCwur7L9582bdfPPNyszMVE5OjoYPH64xY8YoNzfX2Wfbtm2KjY1VXFycdu3apbi4OI0bN047duyo+5YBAFADm2VZljsrDBgwQP369VNqaqqzrWfPnho7dqySk5NrNUbv3r0VGxurJ598UpIUGxur0tJSrV+/3tln5MiRatOmjdLT06sco6ysTGVlZc7PpaWlCgoKUklJifz9/d3ZJODirBzqVveC4hOXqJDGJ6n1Euef/zblBg9WAlOUlpbKbrfXKgvcmgGWl5crJydHMTExLu0xMTHKzs6u1RgVFRU6fvy4rrrqKmfbtm3bKo05YsSIGsdMTk6W3W53LkFBQW5sCQDAdG4F4JEjR3TmzBkFBAS4tAcEBKioqKhWYzz33HP64YcfNG7cOGdbUVGR22NOnz5dJSUlzuXgwYNubAkAwHTedVnJZrO5fLYsq1JbVdLT0zVnzhy999576tChw0WN6evrK19fXzeqBgDgJ24FYLt27eTl5VVpZlZcXFxpBne+jIwMTZgwQW+99ZZuuukml+86duxYpzEBAKgrtw6B+vj4KCIiQllZWS7tWVlZGjRoULXrpaena/z48Vq9erVGjx5d6fuoqKhKY27cuLHGMQEAuBhuHwJNSkpSXFycIiMjFRUVpVWrVqmwsFDx8fGSzp6bO3TokF577TVJZ8Pv3nvv1ZIlSzRw4EDnTK9Zs2ay2+2SpGnTpmnIkCF69tlnddttt+m9997Thx9+qK1bt9bXdgIA4MLt+wBjY2OVkpKiuXPnqm/fvtq8ebMyMzMVHBwsSXI4HC73BK5cuVKnT59WQkKCAgMDncu0adOcfQYNGqQ33nhDr7zyiq699lqlpaUpIyNDAwYMqIdNBACgMrfvA2ys3Ln3A6hX3AdYLe4DREO7ZPcBAgBwpSAAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEaq0+uQAKA2Fh376ZGHWtnSc4VI0qRNnv19NDrMAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEbiSTAAGkRB8QmP/Xa3Dh5+Cg0aJWaAAAAjEYAAACMRgAAAIxGAAAAjEYAAACMRgAAAIxGAAAAjEYAAACMRgAAAIxGAAAAjEYAAACMRgAAAIxGAAAAjEYAAACMRgAAAIxGAAAAjEYAAACMRgAAAI9UpAFesWKHQ0FD5+fkpIiJCW7Zsqbavw+HQPffcox49eqhJkyZKTEys1CctLU02m63ScvLkybqUBwDABbkdgBkZGUpMTNSMGTOUm5ur6OhojRo1SoWFhVX2LysrU/v27TVjxgxdd9111Y7r7+8vh8Phsvj5+blbHgAAteJ2AC5atEgTJkzQxIkT1bNnT6WkpCgoKEipqalV9g8JCdGSJUt07733ym63VzuuzWZTx44dXZaalJWVqbS01GUBAKC23ArA8vJy5eTkKCYmxqU9JiZG2dnZF1XIiRMnFBwcrM6dO+vWW29Vbm5ujf2Tk5Nlt9udS1BQ0EX9PgDALG4F4JEjR3TmzBkFBAS4tAcEBKioqKjORYSFhSktLU3r1q1Tenq6/Pz8NHjwYBUUFFS7zvTp01VSUuJcDh48WOffBwCYx7suK9lsNpfPlmVVanPHwIEDNXDgQOfnwYMHq1+/flq2bJmWLl1a5Tq+vr7y9fWt828CAMzm1gywXbt28vLyqjTbKy4urjQrvKiimjTR9ddfX+MMEACAi+FWAPr4+CgiIkJZWVku7VlZWRo0aFC9FWVZlvLy8hQYGFhvYwIA8HNuHwJNSkpSXFycIiMjFRUVpVWrVqmwsFDx8fGSzp6bO3TokF577TXnOnl5eZLOXujy3XffKS8vTz4+PurVq5ck6amnntLAgQPVrVs3lZaWaunSpcrLy9Py5cvrYRMBAKjM7QCMjY3V0aNHNXfuXDkcDvXp00eZmZkKDg6WdPbG9/PvCQwPD3f+OScnR6tXr1ZwcLAOHDggSTp27JgefPBBFRUVyW63Kzw8XJs3b1b//v0vYtMAAKiezbIsy9NF1IfS0lLZ7XaVlJTI39/f0+XAJCuHutW9oPjEJSoE1enWoaU0aZOny0ADcCcLeBYoAMBIdboNAricjVm2tV7HW3SMGR1wOWIGCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMFKdAnDFihUKDQ2Vn5+fIiIitGXLlmr7OhwO3XPPPerRo4eaNGmixMTEKvutWbNGvXr1kq+vr3r16qV33nmnLqUBAFArbgdgRkaGEhMTNWPGDOXm5io6OlqjRo1SYWFhlf3LysrUvn17zZgxQ9ddd12VfbZt26bY2FjFxcVp165diouL07hx47Rjxw53ywMAoFZslmVZ7qwwYMAA9evXT6mpqc62nj17auzYsUpOTq5x3WHDhqlv375KSUlxaY+NjVVpaanWr1/vbBs5cqTatGmj9PT0KscqKytTWVmZ83NpaamCgoJUUlIif39/dzYJhhmzbGu9jrfo2LR6HQ/1r1uHltKkTZ4uAw2gtLRUdru9Vlng1gywvLxcOTk5iomJcWmPiYlRdna2+5X+v23btlUac8SIETWOmZycLLvd7lyCgoLq/PsAAPO4FYBHjhzRmTNnFBAQ4NIeEBCgoqKiOhdRVFTk9pjTp09XSUmJczl48GCdfx8AYB7vuqxks9lcPluWVantUo/p6+srX1/fi/pNAIC53JoBtmvXTl5eXpVmZsXFxZVmcO7o2LFjvY8JAEBN3ApAHx8fRUREKCsry6U9KytLgwYNqnMRUVFRlcbcuHHjRY0JAEBN3D4EmpSUpLi4OEVGRioqKkqrVq1SYWGh4uPjJZ09N3fo0CG99tprznXy8vIkSSdOnNB3332nvLw8+fj4qFevXpKkadOmaciQIXr22Wd122236b333tOHH36orVvr92o9AADOcTsAY2NjdfToUc2dO1cOh0N9+vRRZmamgoODJZ298f38ewLDw8Odf87JydHq1asVHBysAwcOSJIGDRqkN954QzNnztSsWbPUtWtXZWRkaMCAARexaQAAVM/t+wAbK3fu/YDZuA/QPNwHaI5Ldh8gAABXCgIQAGAkAhAAYCQCEABgJAIQAGAkAhAAYCQCEABgJAIQAGAkAhAAYCQCEABgJAIQAGAkAhAAYCQCEABgJAIQAGAkAhAAYCS3X4gLNAorh9Z51UXHTtRjIQAuV8wAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGIgABAEYiAAEARiIAAQBGqlMArlixQqGhofLz81NERIS2bNlSY/9NmzYpIiJCfn5++uUvf6kXXnjB5fu0tDTZbLZKy8mTJ+tSHgAAF+R2AGZkZCgxMVEzZsxQbm6uoqOjNWrUKBUWFlbZf//+/brlllsUHR2t3Nxc/fGPf9TUqVO1Zs0al37+/v5yOBwui5+fX922CgCAC/B2d4VFixZpwoQJmjhxoiQpJSVFGzZsUGpqqpKTkyv1f+GFF9SlSxelpKRIknr27KmdO3dq4cKFuvPOO539bDabOnbsWOs6ysrKVFZW5vxcWlrq7qYAAAzm1gywvLxcOTk5iomJcWmPiYlRdnZ2lets27atUv8RI0Zo586dOnXqlLPtxIkTCg4OVufOnXXrrbcqNze3xlqSk5Nlt9udS1BQkDubAgAwnFsBeOTIEZ05c0YBAQEu7QEBASoqKqpynaKioir7nz59WkeOHJEkhYWFKS0tTevWrVN6err8/Pw0ePBgFRQUVFvL9OnTVVJS4lwOHjzozqYAAAzn9iFQ6ezhyp+zLKtS24X6/7x94MCBGjhwoPP7wYMHq1+/flq2bJmWLl1a5Zi+vr7y9fWtS/kAALg3A2zXrp28vLwqzfaKi4srzfLO6dixY5X9vb291bZt26qLatJE119/fY0zQAAALoZbAejj46OIiAhlZWW5tGdlZWnQoEFVrhMVFVWp/8aNGxUZGammTZtWuY5lWcrLy1NgYKA75QEAUGtu3waRlJSkF198US+//LLy8/P10EMPqbCwUPHx8ZLOnpu79957nf3j4+P1zTffKCkpSfn5+Xr55Zf10ksv6ZFHHnH2eeqpp7Rhwwbt27dPeXl5mjBhgvLy8pxjAgBQ39w+BxgbG6ujR49q7ty5cjgc6tOnjzIzMxUcHCxJcjgcLvcEhoaGKjMzUw899JCWL1+uTp06aenSpS63QBw7dkwPPvigioqKZLfbFR4ers2bN6t///71sIkAAFRms85dkXKZKy0tld1uV0lJifz9/T1dDi61lUPrvGpB8Yl6LASXg24dWkqTNnm6DDQAd7KAZ4ECAIxEAAIAjEQAAgCMRAACAIxEAAIAjFSnR6EBwOWkoPiEkpZt9djv/23KDR77bVSPGSAAwEgEIADASAQgAMBIBCAAwEhcBAPACIuOTfPcj69s6fqZx7I1CswAAQBGIgABAEYiAAEARiIAAQBG4iIYeMSYi3wqx6JjvNMPwMVhBggAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADASAQgAMBIBCAAwEgEIADCSt6cLwGVk5dB6G2rRsRP1NhYA1AUzQACAkQhAAICRCEAAgJHqdA5wxYoVWrBggRwOh3r37q2UlBRFR0dX23/Tpk1KSkrSnj171KlTJz322GOKj4936bNmzRrNmjVLX3/9tbp27apnnnlGt99+e13KA4BGpaDY9Zx30rKtDfbbf5tyQ4P91uXG7QDMyMhQYmKiVqxYocGDB2vlypUaNWqUvvjiC3Xp0qVS//379+uWW27RAw88oL/+9a/67LPP9Ic//EHt27fXnXfeKUnatm2bYmNj9fTTT+v222/XO++8o3Hjxmnr1q0aMGDAxW8lqjTGzf8RcuEKUD8WHZvWcD+2smXN30/a1DB1NEI2y7Isd1YYMGCA+vXrp9TUVGdbz549NXbsWCUnJ1fq//jjj2vdunXKz893tsXHx2vXrl3atm2bJCk2NlalpaVav369s8/IkSPVpk0bpaenV1lHWVmZysrKnJ9LSkrUpUsXHTx4UP7+/u5skrHGvbDNrf7JJY9fokoAXCpd27eoucP962v+/jJTWlqqoKAgHTt2THa7vebOlhvKysosLy8va+3atS7tU6dOtYYMGVLlOtHR0dbUqVNd2tauXWt5e3tb5eXllmVZVlBQkLVo0SKXPosWLbK6dOlSbS2zZ8+2JLGwsLCwsFRaDh48eMFMc+sQ6JEjR3TmzBkFBAS4tAcEBKioqKjKdYqKiqrsf/r0aR05ckSBgYHV9qluTEmaPn26kpKSnJ8rKir0zTffqG/fvswC/9+5fwmxP9gX52N//IR98ZMrYV9YlqXjx4+rU6dOF+xbp4tgbDZbpR88v+1C/c9vd3dMX19f+fr6urQ1aXL2olZ/f//L9j/epcD++An7whX74yfsi59c7vvigoc+/59bt0G0a9dOXl5elWZmxcXFlWZw53Ts2LHK/t7e3mrbtm2NfaobEwCAi+VWAPr4+CgiIkJZWVku7VlZWRo0aFCV60RFRVXqv3HjRkVGRqpp06Y19qluTAAALtoFzxKe54033rCaNm1qvfTSS9YXX3xhJSYmWi1atLAOHDhgWZZlPfHEE1ZcXJyz/759+6zmzZtbDz30kPXFF19YL730ktW0aVPr7bffdvb57LPPLC8vL2v+/PlWfn6+NX/+fMvb29vavn27W7WdPHnSmj17tnXy5El3N+uKxP74CfvCFfvjJ+yLn5i2L9wOQMuyrOXLl1vBwcGWj4+P1a9fP2vTpk3O7373u99ZQ4cOden/6aefWuHh4ZaPj48VEhJipaamVhrzrbfesnr06GE1bdrUCgsLs9asWVOX0gAAqBW37wMEAOBKwLNAAQBGIgABAEYiAAEARiIAAQBGuqID8L//+781YMAANWvWTO3atdMdd9zh6ZI8rqysTH379pXNZlNeXp6ny2lwBw4c0IQJExQaGqpmzZqpa9eumj17tsrLyz1dWoNZsWKFQkND5efnp4iICG3ZssXTJXlEcnKyrr/+erVq1UodOnTQ2LFjtXfvXk+X1SgkJyfLZrMpMTHR06VcUldsAK5Zs0ZxcXG67777tGvXLn322We65557PF2Wxz322GO1ekbelerLL79URUWFVq5cqT179mjx4sV64YUX9Mc//tHTpTWIc68zmzFjhnJzcxUdHa1Ro0apsLDQ06U1uE2bNikhIUHbt29XVlaWTp8+rZiYGP3www+eLs2j/vGPf2jVqlW69tprPV3Kpefp+zAuhVOnTlm/+MUvrBdffNHTpTQqmZmZVlhYmLVnzx5LkpWbm+vpkhqFP//5z1ZoaKiny2gQ/fv3t+Lj413awsLCrCeeeMJDFTUexcXFliSX+5pNc/z4catbt25WVlaWNXToUGvatGmeLumSuiJngJ9//rkOHTqkJk2aKDw8XIGBgRo1apT27Nnj6dI85t///rceeOABvf7662revLmny2lUSkpKdNVVV3m6jEuuvLxcOTk5iomJcWmPiYlRdna2h6pqPEpKSiTJiL8L1UlISNDo0aN10003ebqUBnFFBuC+ffskSXPmzNHMmTP1/vvvq02bNho6dKi+//57D1fX8CzL0vjx4xUfH6/IyEhPl9OofP3111q2bJni4+M9XcolV5fXmZnCsiwlJSXphhtuUJ8+fTxdjke88cYb+vzzz6t8sfmV6rIKwDlz5shms9W47Ny5UxUVFZKkGTNm6M4771RERIReeeUV2Ww2vfXWWx7eivpT2/2xbNkylZaWavr06Z4u+ZKp7b74ucOHD2vkyJH69a9/rYkTJ3qo8obn7qvHTDB58mT985//VHp6uqdL8YiDBw9q2rRp+utf/yo/Pz9Pl9Ng6vQ+QE+ZPHmy7rrrrhr7hISE6Pjx45KkXr16Odt9fX31y1/+8oo62V/b/TFv3jxt37690vsTIyMj9Zvf/EavvvrqpSyzQdR2X5xz+PBhDR8+XFFRUVq1atUlrq5xqMvrzEwwZcoUrVu3Tps3b1bnzp09XY5H5OTkqLi4WBEREc62M2fOaPPmzXr++edVVlYmLy8vD1Z4aVxWAdiuXTu1a9fugv0iIiLk6+urvXv36oYbbpAknTp1SgcOHFBwcPClLrPB1HZ/LF26VPPmzXN+Pnz4sEaMGKGMjAwNGDDgUpbYYGq7LyTp0KFDGj58uPPIwLkXKV/pfv46s9tvv93ZnpWVpdtuu82DlXmGZVmaMmWK3nnnHX366acKDQ31dEkec+ONN2r37t0ubffdd5/CwsL0+OOPX5HhJ11mAVhb/v7+io+P1+zZsxUUFKTg4GAtWLBAkvTrX//aw9U1vC5durh8btmypSSpa9euxv2L9/Dhwxo2bJi6dOmihQsX6rvvvnN+17FjRw9W1jCSkpIUFxenyMhI5+y3sLDQiHOg50tISNDq1av13nvvqVWrVs6Zsd1uV7NmzTxcXcNq1apVpXOfLVq0UNu2ba/oc6JXZABK0oIFC+Tt7a24uDj95z//0YABA/Txxx+rTZs2ni4NHrRx40b961//0r/+9a9K4W8Z8GKU2NhYHT16VHPnzpXD4VCfPn2UmZl5RR0Zqa3U1FRJ0rBhw1zaX3nlFY0fP77hC0KD43VIAAAjmXHyAwCA8xCAAAAjEYAAACMRgAAAIxGAAAAjEYAAACMRgAAAIxGAAAAjEYAAACMRgAAAIxGAAAAj/R+TY6pPFpafvQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---\n",
      "Epoch: 1600 | Train Loss 0.006602940149605274\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
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     "output_type": "display_data"
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     "data": {
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       "Waiting for W&B process to finish... <strong style=\"color:green\">(success).</strong>"
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       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
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       "model_id": "a06f009923734ccd84b6b875e7158dc0",
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       "VBox(children=(Label(value='0.169 MB of 0.186 MB uploaded (0.000 MB deduped)\\r'), FloatProgress(value=0.907035…"
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    },
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     "data": {
      "text/html": [
       "<style>\n",
       "    table.wandb td:nth-child(1) { padding: 0 10px; text-align: left ; width: auto;} td:nth-child(2) {text-align: left ; width: 100%}\n",
       "    .wandb-row { display: flex; flex-direction: row; flex-wrap: wrap; justify-content: flex-start; width: 100% }\n",
       "    .wandb-col { display: flex; flex-direction: column; flex-basis: 100%; flex: 1; padding: 10px; }\n",
       "    </style>\n",
       "<div class=\"wandb-row\"><div class=\"wandb-col\"><h3>Run history:</h3><br/><table class=\"wandb\"><tr><td>train loss</td><td>█▄▃▁▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁</td></tr></table><br/></div><div class=\"wandb-col\"><h3>Run summary:</h3><br/><table class=\"wandb\"><tr><td>train loss</td><td>0.00575</td></tr></table><br/></div></div>"
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      "text/html": [
       " View run <strong style=\"color:#cdcd00\">snowy-flower-27</strong> at: <a href='https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon/runs/rsufc7v2' target=\"_blank\">https://wandb.ai/peter-thomas-mchale/diffusion-overfit-to-racoon/runs/rsufc7v2</a><br/>Synced 6 W&B file(s), 10 media file(s), 0 artifact file(s) and 0 other file(s)"
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    },
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      "text/html": [
       "Find logs at: <code>./wandb/run-20230325_184101-rsufc7v2/logs</code>"
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   ],
   "source": [
    "wandb.init(\n",
    "  project='diffusion-overfit-to-racoon',\n",
    "  # We pass a run name (otherwise it’ll be randomly assigned, like sunshine-lollypop-10):\n",
    "  # name=f\"XXX\",\n",
    "  config={\n",
    "  \"learning_rate\": LR,\n",
    "  \"architecture\": \"diffusion\",\n",
    "  \"dataset\": \"racoon\",\n",
    "  \"epochs\": NO_EPOCHS,\n",
    "  })\n",
    "    \n",
    "for epoch in range(NO_EPOCHS):\n",
    "    mean_epoch_loss = []\n",
    "    \n",
    "    batch = torch.stack([torch_image] * BATCH_SIZE)\n",
    "    t = torch.randint(0, diffusion_model.timesteps, (BATCH_SIZE,)).long().to(device)\n",
    "\n",
    "    batch_noisy, noise = diffusion_model.forward(batch, t, device) \n",
    "    predicted_noise = unet(batch_noisy, t)\n",
    "    \n",
    "    optimizer.zero_grad()\n",
    "    loss = torch.nn.functional.mse_loss(noise, predicted_noise) \n",
    "    mean_epoch_loss.append(loss.item())\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    \n",
    "    loss = np.mean(mean_epoch_loss)\n",
    "    wandb.log({\"train loss\": loss})\n",
    "    \n",
    "    if epoch % PRINT_FREQUENCY == 0:\n",
    "        print('---')\n",
    "        print(f\"Epoch: {epoch} | Train Loss {loss}\")\n",
    "        if VERBOSE:\n",
    "            with torch.no_grad():\n",
    "                plot_spatial_noise_distribution(noise[0], predicted_noise[0])\n",
    "                plot_noise_distribution(noise, predicted_noise)\n",
    "                \n",
    "wandb.finish()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b0117a8",
   "metadata": {},
   "source": [
    "## Use racoon diffusion model to regenerate racoon image from pure noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f47f46f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YZRVFdJk6gV9N8J2EYWTgIGEYGThIGEYGvc1J2nTJIUvT6s+WvvnY4WtaPF2wV3eoBB/LSzioujQI/RYN7QzajoHiZ+5APx/waXUJO5jXlGKu8UbCItDeWYd50NXVxwT708HrwGdDPhYT53TCGVIfj8du2wHBYk7ilmQGPgb7cEvyuRIsCr63E7cpx0WI8wxaZOCBOhNufwbacf/7oO2ZvQC0vE9xu3GnoVGCnbIWn6vxNbFwq8X08nfhOwnDyMBBwjAycJAwjAwcJAwjg94m7nO/nkJGhtVJ5ajO+eBz8+NDgl3vGHaqzr65G7Rux3CX5Mr8b0E77Csm7plXcBFgRQVum73YAZPLGaMwiW41vwVoX73USLDfLz0EPiNWYxHvzZ6hoLWciwsDXj3E13Ct6D3waV+BxdZ2N6+Dlni7BWhmG8VE/WwoJvxD83Fgdt51PDFs+iBcVPCwbgua3UnxZ+weehZ8Dgb3EOySslJaG4KvvSb4TsIwMnCQMIwMHCQMIwMHCcPIoJD+aMP6C0CtVpNKpaLjXZaSuUH19tDDg/eA70pr8USpNS1ag89yA0fQxhr4gfbLbWfQMpzF+Vz+SS3A59/18PSr3SknQdswDk/qei3UB7SW+eIR1fuHeoLP6E3vgpYejR0J8yOXg3atpTi3Kk6DwwAjDXA4eVCHw6BZvIqnTv1kIi48XGqMs7N+uJcKWsNzeCLW0R9wUeSTB1agJf4sbrOOmYnbgysixEEkal0JOdwcTYWFhWRpaQn+T8J3EoaRgYOEYWTgIGEYGThIGEYGvU3cl1+eSyYWxlX6pSPXwPeNazcFO381Jn+3dHiE9P5RvUAbuBQHerfcJVZ8/5uOz//ews2grYrAxYKJd7F9+/IvD0DLbioOmF5xB1/38iBslU8swCr/6B9wYHb0ITGZH/7aTvCJszgFmvrqBtBi83B7geektwT74mwcKB61HE+6atcBj9wYPgmnfnp3xG3EE0aKiw+epTg3rEHfI4JdpqugkJtnOHFnmLqAg4RhZOAgYRgZOEgYRga9bZXffERB9U2qj5Bb9AlWj51D+gn2pH8bg0/g6m6gtVfEgqYIXAZaH4W4F96n30Pw2ZOJ7ejrD+Cg6rO6VqD1kvAUqxRncX6WV2oM+EwowXlUO2ZiG/+xpJmgpYeJSXPIYpxRpbuHMwA+LcNFi6XD8eSvuGQx2XZ+uz/4fDAU/zePfbmGwebvorZ8aXPQsj4XZ329EjEEfFYY+gm2rrKYiPqAX03wnYRhZOAgYRgZOEgYRga9zUl0PylIp6zOSSatwKLUnhxxfmz2B9iR69xtI2hX2laANuqkA2hLvhYPxtk8Zhr4nItZBZp0DmdNLVuJxUqHgH+BFvqZ+Dl8+04shrZSJYA2t+Np0PLG4xzkgw/EHORaQQb4HEu+BJrvkS9AMxuDRU2ViTinePfUvuAz3ucIaDuvHQStwxuY83jH4nbs0vYDBPtA5krwOXhF/F0WqdXkiucX1QjfSRhGBg4ShpGBg4RhZKhVkERERJC7uztZWFhQkyZNyM/PjzIzxc+gkiRRaGgo2dnZkYmJCfn4+FB6evrvPCPD6D+16gIeOHAgjRw5ktzd3amiooLmzZtHaWlplJGRQWZmjzpmFy9eTGFhYRQXF0dOTk60aNEiSklJoczMzD91lvvjLuDvxn1IpkbVxcHlnrjGsKmRmIC/psXinFd2A9BWzseO3FuHLoD2oKk4ZPm/zbzBJ2cHzoFa/QUWPgvfwgQ/N8YJtPFNxZlgcy7gPKrEwkmgtf01EDSbFi1Bu99B/HXfM8YZVVs+xde07ipubza8GQza/bHiLKvkVl+Bj2MJbjXuvRUXZj6+twW0b8qHgubfPUCwfUfiIUGt2osLFmWacpr95d4/1QVcq9Wtffv2CXZsbCw1adKEUlNTqWfPniRJEkVFRdG8efNo2LBhRES0bt06sra2pvj4eJo4cWJtfhzD6AVPlZMUFhYSEVHDhg2JiCgrK4tyc3Opf//qVgSlUkne3t504sSJGp9Do9GQWq0WHgyjT/zlIJEkiYKDg6lHjx7k4uJCRES5uY/GjFpbizUBa2vrqq/9loiICFKpVFUPe3vcfMMwL5K/HCRTp06lixcv0saNWKxTKBSCLUkSaI8JCQmhwsLCqkd2No64YZgXyV+quE+bNo0SExMpJSWFmjVrVqXb2NgQ0aM7iq2tbZWel5cHd5fHKJVKUirxtKiyZu2pnrFplT3rBnbD7kscLdgzb+HJSM4Dl4DW9a3RoCVtwpOitvwkPt/6igbgs+yV10F7aIVV4YYHz4FWstMHNO1ccabWJ4E4S0zdJRq0HZ/8DFriiOGg2a8Wy8xNYrHj13xzC9B87FHTZX4H2oZU8ZQswxys3nt88wC0V/Z8CNrpITizK/RVHHZeoioW7L1n/cDH+ZW1gl2uw9f9e9TqTiJJEk2dOpW2bdtGhw4dIgcHsZXDwcGBbGxsKCmpuj1Eq9VScnIyeXnhi2OY/w/U6k4yZcoUio+Pp507d5KFhUVVnqFSqcjExIQUCgUFBQVReHg4OTo6kqOjI4WHh5OpqSkFBATIPDvD6Ce1CpLo6Ee3eR8fH0GPjY2l8ePHExHRrFmzqLS0lAIDA6mgoIA8PDzowIEDf6pGwjD6SK2C5M/UHRUKBYWGhlJoaOhfvSaG0Sv0tlW+mfVuMjepHnysUGwHn6aHewq2TW9M3L+OwRbvQx2w/fzeCNwSG+Iupmzq93BeVL/DkaCdXoY92Blz3UFbQVhcPdhwm2C3bTUHfKb3BIkOWvmClvIrVtO3HhG7FCxaYQL78ehBoN3pgp8EutiWgXb5B7Ft3b2sBfgsbu4P2q7LOKusw2Bb0Mw+xi0BLc6JFfY7+cfAZ1NvcfC4Wqsl2wRcTKkJbnBkGBk4SBhGBg4ShpGBg4RhZNDbgdkzh35ISsPqVvkPDbXgO8NaTMaKE/GljHkVK/3rcVs3NSjCxsr2R8Vh2G5q3K9dEYunMYUdaA9avQCcb7X5ErZ099zRTrD9DXG4d4uueOqUw6a5oA10xE6Gkj2iVvR2O/AZXIrvhft+fE2rGr0FWvEm8f3YQrht4PxH/wFN2xHblsp64veGdcEFEM89YsV9wkE8Fjumg7gwUKktpwvxB3hgNsPUBRwkDCMDBwnDyKC3OUnkxv+QsWl1MbHbl/ngO89cnAXcqyNuV00yWw2a39ga5uYG5YB2svVWwS4ZjIXJ/6bjFlz/Gx1AKwjDz+8pA3C7cZD5GsEOnYVFvEYNroC2u4cPaGvn4ynAcQ3Fz/TGQzEnabQaTwr2bYydzXaXd4C2t7V46NDNYbPB595SnLFlMaIRaEeuNQStWdAa0Drmin2Ba3rh82skP8HWlWspZ1885yQMUxdwkDCMDBwkDCMDBwnDyKC3XcBeLgvI3KI6ofolFBPfV77qKti+P2HH7KsSnsSacQFnPO1Nx+2j5THvC3b0QjPwubNTh5o9HlwTkOMJ2tC7HUFrlzZWsKcNwqHXC3tg921HiwegRddzAU2x4CPBPry7N/i89lUUaCuSRoLmKGFx1T33hmD7R2OX9IyeuAiQ1HMFaLEHp4PWLxW7gFe3KhTsRKs3wCfncpxg63Bm+u/CdxKGkYGDhGFk4CBhGBk4SBhGBr1N3I0mfUJG9as7Vu0+xwmQ4+qLFfDX670HPtvb4LC77dfxJNxJkzuB5hYmPl90Gz/wmeqKWq9dOOtrZiEuKuR/sw600yvFDgGLXDwNK7sNdhYkNMfFgjZD8LTgk0Zi0jxtSir4XJp7A7T2t91AazEMFy2WB8wX7I3fYPd2s0Q8MezURez4nTy3B2iWI3Bw92e+Yld0Z/+14NNjt3hdGk0RfX4GF05qgu8kDCMDBwnDyMBBwjAycJAwjAx6m7j7NNCQ4okdr8NOYnt4ktMIwc7uh/O0Vpn9D7SgfzcArX7MA9AUl8U29d2HD4DPB9iVTYcnYsJZvyMmkyY9ce7W9PNigql1XAw+6m24bcBpHg7Rjv4QW80vvW0l2HumYKXbbetS0Ha9Nha0Buuvgea7QdwmELpnD/i0H9QJtEM/4euMT88EbXDEVdB6e4onkKmP4vBzshI7Hh6WaQk3TNQM30kYRgYOEoaRgYOEYWTgIGEYGfQ2cW/+L2syMK2eu3X1NO5tzkwTB1NPraHFu68B7kufcmUKaMPH/gjar18mCbai2wzwmbFxJ2gnOzUFTfvyl6A5mI0DreRD8ajseX3waOslc3Fe17bXcOD3OzdxscPMXJy2PUCD88D6l+O1vnoV29t9CnHIdffDjQXbMmcb+Fiv9gNtgH8CaEX7cDHCIXcYaCsU4jHehhdwuPr1LuIKi1RSCj6/B99JGEYGDhKGkYGDhGFk4CBhGBn0NnG3PG1B9ZUmVfag3pggm38ktoc3vz0EfMzSboL2+poI0MYE4RA48692CHZyoDH4WK67DJrhp/1A6+uBbdk/jrcBbe6P4r79BU6B4LNhphVorQoMQPMImwXava/F19nU9BT4/GfGItDqL8IEfNx9PFH5YUfxqGyrDx+Az+H340CzOH0RtIBYHN73/QDcnL6qnXh8eYI9VupbvrlfsCslNf1M+P7UBN9JGEYGDhKGkaFWQRIdHU2urq5kaWlJlpaW5OnpSXv37q36uiRJFBoaSnZ2dmRiYkI+Pj6Unp5e5xfNMM+TWg3M/v7778nAwIBat25NRETr1q2jpUuX0rlz56h9+/a0ePFiCgsLo7i4OHJycqJFixZRSkoKZWZm/ulz3B8PzN5kvoJMFdU5iaMvbiltaSbOgkppjUOvc1zxJNxD5TjQevAp/N53NiYLtndj7BtNnIIn/k64h5/V5zfAzuD3ty8EzeNtccj18R0O4POu9ihoh4YOB82rUTBoph+Js6xUgXjS7tkT34GmvroLtPKZuH33XIL4Oke9if+H3wvBLclvvn4ctOHSXdC8G2BuZ9DxlmB/sQS3cefZiic3lWmLae7GnnU/MHvIkCE0aNAgcnJyIicnJwoLCyNzc3M6deoUSZJEUVFRNG/ePBo2bBi5uLjQunXrqKSkhOLj42vzYxhGr/jLOUllZSUlJCTQw4cPydPTk7Kysig3N5f6969ecVIqleTt7U0nTpz43efRaDSkVquFB8PoE7UOkrS0NDI3NyelUkmTJk2i7du3U7t27Sg399E0E2tr8YxCa2vrqq/VREREBKlUqqqHvb19bS+JYZ4ptQ4SZ2dnOn/+PJ06dYomT55M48aNo4yM6s97CoV4QKQkSaA9SUhICBUWFlY9srNxBBDDvEhqXUw0MjKqSty7du1KZ86coc8//5xmz350olFubi7Z2tpW+efl5cHd5UmUSiUplXhKrNvHh8jCpLpD9VAxDl72U4qn46YsGA0+h32agXZ7KM6aavQjzocqGCv67XPBvbqHtuNzddiPXcauP8aCNt55KmhLfMRC2LTu74CPOu0+aDnZuLW43eCBoB3e0VywtQl4Glb4aVxkGDICVyntEm6DVuAtLrAsODICfDq22gHapSv7QfPbh9uIl0ZggfF0lNgpPbs7dldvcxR/T8UlpUQbwa1GnrpOIkkSaTQacnBwIBsbG0pKqm4v12q1lJycTF5euNrDMP9fqNWdZO7cueTr60v29vZUVFRECQkJdOTIEdq3bx8pFAoKCgqi8PBwcnR0JEdHRwoPDydTU1MKCAiQf3KG0VNqFSR3796lMWPGUE5ODqlUKnJ1daV9+/ZRv36PepVmzZpFpaWlFBgYSAUFBeTh4UEHDhz40zUShtFHahUkMTExf/h1hUJBoaGhFBoa+pcv6HFts6isXNBLyorAt1InHmZTpEMfTTlIVFFSDNrDCnSUNBrRLsHl6YflOG9XLeFz6YrQT/OwEv1IrO2WVWjAp0TCJj9tBeZURXjWD5UWlYjfV4Y79HSVNVxrGb6mMi1eR3mp6FepKUGfcnxN5YTvRbGE11Faii9KWy4WNXU1/K0U/2Yn4sPSR/afqaXr3RHVt27d4mVg5rmRnZ1NzZrh4s6T6F2Q6HQ6unPnDllYWFBRURHZ29tTdna2bOsAU/eo1eq/7fsvSRIVFRWRnZ0d1av3x+tXerefpF69elWR/bi+8rihknkx/F3ff5UK+/pqglvlGUYGDhKGkUGvg0SpVNL8+fNrrMgzzx5+/x+hd4k7w+gben0nYRh9gIOEYWTgIGEYGThIGEYGDhKGkUFvg2TVqlXk4OBAxsbG5ObmRkeP4oQQ5umJiIggd3d3srCwoCZNmpCfnx9lZoobv/7xo6IkPSQhIUEyNDSU1q5dK2VkZEjTp0+XzMzMpBs3brzoS/vbMWDAACk2Nla6dOmSdP78eWnw4MFS8+bNpeLi4iqfyMhIycLCQtq6dauUlpYm+fv7S7a2tpJarX6BV/780Msg6datmzRp0iRBa9OmjTRnzpwXdEX/HPLy8iQikpKTkyVJkiSdTifZ2NhIkZGRVT5lZWWSSqWSVq9e/aIu87midx+3tFotpaamCqOJiIj69+//h6OJmLqhsLCQiIgaNnx0vPVfHRX1d0LvguTevXtUWVlZ69FEzNMjSRIFBwdTjx49yMXFhYjoL4+K+juhd63yj6ntaCLm6Zk6dSpdvHiRjh07Bl/7J/8+9O5OYmVlRQYGBvBfSm40EfN0TJs2jRITE+nw4cPCTj0bm0dnqPyTfx96FyRGRkbk5uYmjCYiIkpKSuLRRM8ASZJo6tSptG3bNjp06BA5OIgDunlUFOn3EnBMTIyUkZEhBQUFSWZmZtL169df9KX97Zg8ebKkUqmkI0eOSDk5OVWPkpKSKp/IyEhJpVJJ27Ztk9LS0qRRo0bxErA+sHLlSunll1+WjIyMpC5dulQtSTJ1CxHV+IiNja3y0el00vz58yUbGxtJqVRKPXv2lNLS0l7cRT9neD8Jw8igdzkJw+gbHCQMIwMHCcPIwEHCMDJwkDCMDBwkDCMDBwnDyMBBwjAycJAwjAwcJAwjAwcJw8jwf5jW4czq8gFkAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with torch.no_grad():\n",
    "    img = torch.randn((1, 3) + IMAGE_SHAPE).to(device)\n",
    "    for i in reversed(range(diffusion_model.timesteps)):\n",
    "        t = torch.full((1,), i, dtype=torch.long, device=device)\n",
    "        img = diffusion_model.backward(img, t, unet.eval())\n",
    "        if i % 50 == 0:\n",
    "            plt.figure(figsize=(2,2))\n",
    "            plt.imshow(reverse_transform(img[0]))\n",
    "            plt.show()\n",
    "            "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "921ee97f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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