optical_accelerator/Propagator_QuickDraw.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f0d9d491-74b8-4567-b2ba-79e99ab499ee",
   "metadata": {},
   "source": [
    "# Пример на данных QuickDraw \n",
    "https://github.com/googlecreativelab/quickdraw-dataset  \n",
    "Используется урезанная версия с 16 классами "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "c4455b6a-5ed9-4499-98b4-42e18fa1f6d8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "from torch import flip\n",
    "from torch.nn import Module\n",
    "from torch import nn\n",
    "from torch.nn.functional import conv2d\n",
    "import torch.nn.functional as F\n",
    "from torchvision.transforms.functional import resize, InterpolationMode\n",
    "from einops import rearrange\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import confusion_matrix, accuracy_score\n",
    "\n",
    "import numpy as np\n",
    "import math\n",
    "\n",
    "import tqdm\n",
    "from pprint import pprint, pformat\n",
    "from IPython.display import display, clear_output\n",
    "from pathlib import Path\n",
    "import models\n",
    "import inspect\n",
    "import yaml\n",
    "from PIL import Image\n",
    "\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb1d1521-bade-47f6-a2e8-1d12c857e2f8",
   "metadata": {},
   "source": [
    "### Параметры данных и модели"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "b9ce4212-977c-4621-850b-db595cd00ab2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'batch_size': 152,\n",
      " 'class_slots': 16,\n",
      " 'classes': 16,\n",
      " 'dataset_name': 'quickdraw',\n",
      " 'experiment_dir': PosixPath('experiments/OpticalSystemMLP_quickdraw_1_2_16_50_14_1_1_0.5_300_5.32e-07_0.001_3.6e-05'),\n",
      " 'image_size': 28,\n",
      " 'input_image_scale': 0.5,\n",
      " 'kernel_size_pixels': 14,\n",
      " 'layers': 1,\n",
      " 'loss_plot_path': PosixPath('experiments/OpticalSystemMLP_quickdraw_1_2_16_50_14_1_1_0.5_300_5.32e-07_0.001_3.6e-05/OpticalSystemMLP_quickdraw_1_2_16_50_14_1_1_0.5_300_5.32e-07_0.001_3.6e-05_loss.png'),\n",
      " 'max_passes_through_dataset': 50,\n",
      " 'metric': 0.001,\n",
      " 'mlp_layers': 2,\n",
      " 'model_class': <class 'models.OpticalSystemMLP'>,\n",
      " 'model_path': PosixPath('experiments/OpticalSystemMLP_quickdraw_1_2_16_50_14_1_1_0.5_300_5.32e-07_0.001_3.6e-05/OpticalSystemMLP_quickdraw_1_2_16_50_14_1_1_0.5_300_5.32e-07_0.001_3.6e-05.pt'),\n",
      " 'name_id': 'OpticalSystemMLP_quickdraw_1_2_16_50_14_1_1_0.5_300_5.32e-07_0.001_3.6e-05',\n",
      " 'pixel_size_meters': 3.6e-05,\n",
      " 'propagation_distance': 300,\n",
      " 'resolution_scale_factor': 1,\n",
      " 'test_batch_size': 64,\n",
      " 'test_class_instances': 100,\n",
      " 'test_data_path': './assets/quickdraw16_test.npy',\n",
      " 'tile_size_scale_factor': 1,\n",
      " 'train_class_instances': 8000,\n",
      " 'train_data_path': './assets/quickdraw16_train.npy',\n",
      " 'wavelength': 5.32e-07}\n"
     ]
    }
   ],
   "source": [
    "CONFIG = type('', (), {})() # object for parameters\n",
    "\n",
    "CONFIG.model_class = models.OpticalSystemMLP\n",
    "CONFIG.layers = 1\n",
    "CONFIG.mlp_layers = 2\n",
    "CONFIG.batch_size = 764//5\n",
    "CONFIG.max_passes_through_dataset = 50\n",
    "CONFIG.test_batch_size = 64\n",
    "\n",
    "# свойства входных данных\n",
    "CONFIG.dataset_name = 'quickdraw'\n",
    "CONFIG.classes = 16\n",
    "CONFIG.image_size = 28\n",
    "CONFIG.train_class_instances = 8000\n",
    "CONFIG.test_class_instances = 100\n",
    "CONFIG.train_data_path = './assets/quickdraw16_train.npy'\n",
    "CONFIG.test_data_path = './assets/quickdraw16_test.npy'\n",
    "\n",
    "# свойства модели оптической системы\n",
    "CONFIG.input_image_scale = 0.5\n",
    "CONFIG.kernel_size_pixels = 28//2\n",
    "CONFIG.tile_size_scale_factor = 1\n",
    "CONFIG.resolution_scale_factor = 1 \n",
    "CONFIG.class_slots = 16\n",
    "CONFIG.wavelength = 532e-9\n",
    "# CONFIG.refractive_index = 1.5090\n",
    "CONFIG.propagation_distance = 300\n",
    "CONFIG.metric = 1e-3\n",
    "CONFIG.pixel_size_meters = 36e-6\n",
    "\n",
    "CONFIG.name_id = f\"{CONFIG.model_class.__name__}_{CONFIG.dataset_name}_{CONFIG.layers}_{CONFIG.mlp_layers}_{CONFIG.classes}_{CONFIG.max_passes_through_dataset}_{CONFIG.kernel_size_pixels}\" + \\\n",
    "                 f\"_{CONFIG.resolution_scale_factor}_{CONFIG.tile_size_scale_factor}_{CONFIG.input_image_scale}_{CONFIG.propagation_distance}_{CONFIG.wavelength}_{CONFIG.metric}_{CONFIG.pixel_size_meters}\"\n",
    "CONFIG.experiment_dir = Path(f'./experiments/{CONFIG.name_id}/')\n",
    "CONFIG.experiment_dir.mkdir(parents=True, exist_ok=True)\n",
    "CONFIG.model_path = CONFIG.experiment_dir / f\"{CONFIG.name_id}.pt\"\n",
    "CONFIG.loss_plot_path = CONFIG.experiment_dir / f\"{CONFIG.name_id}_loss.png\"\n",
    "\n",
    "yaml.dump(CONFIG, open(CONFIG.experiment_dir / \"config.yaml\", 'w'))\n",
    "\n",
    "def init_from_config(config):\n",
    "    init_arg_names = list(inspect.signature(CONFIG.model_class).parameters.keys())\n",
    "    return CONFIG.model_class(**{k:CONFIG.__dict__[k] for k in init_arg_names})\n",
    "\n",
    "pprint(CONFIG.__dict__)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32211b41-628a-4376-adf3-e93cc58bc2b4",
   "metadata": {},
   "source": [
    "### Служебные функции"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "9aefa1b1-e4da-4e02-b691-7745f9759e5a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from utils import imshow, pad_zeros, unpad_zeros, to_class_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41470dee-088e-4d24-8a1f-4b18636b4dac",
   "metadata": {},
   "source": [
    "### Подготовка данных"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "bb84c1e5-0201-4815-bf88-d5512364e731",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(torch.Size([128000, 1, 14, 14]), torch.Size([1600, 1, 14, 14]))"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_data = torch.tensor(np.load(CONFIG.train_data_path), dtype=torch.float32)\n",
    "test_data = torch.tensor(np.load(CONFIG.test_data_path), dtype=torch.float32)\n",
    "train_data = rearrange(train_data, \"b (h w) -> b 1 h w\", h=CONFIG.image_size, w=CONFIG.image_size)\n",
    "test_data = rearrange(test_data, \"b (h w) -> b 1 h w\", h=CONFIG.image_size, w=CONFIG.image_size)\n",
    "train_data = torch.nn.functional.interpolate(train_data, scale_factor=CONFIG.input_image_scale, mode='bicubic')\n",
    "test_data = torch.nn.functional.interpolate(test_data, scale_factor=CONFIG.input_image_scale, mode='bicubic')\n",
    "train_data.shape, test_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "2684aad3-16db-41a9-914b-762151d865a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(torch.Size([128000, 16]), torch.Size([1600, 16]))"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_targets = torch.eye(CONFIG.classes).repeat_interleave(repeats=CONFIG.train_class_instances, dim=0)\n",
    "test_targets = torch.eye(CONFIG.classes).repeat_interleave(repeats=CONFIG.test_class_instances, dim=0)\n",
    "\n",
    "train_labels = torch.repeat_interleave(torch.arange(CONFIG.classes), CONFIG.train_class_instances)\n",
    "test_labels = torch.repeat_interleave(torch.arange(CONFIG.classes), CONFIG.test_class_instances)\n",
    "\n",
    "train_targets.shape, test_targets.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "200b86bb-188c-4034-8a98-1bcfb5b92d9e",
   "metadata": {},
   "source": [
    "### Создание экземпляра модели, оптимизатора, функции потерь"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "12c87b56-bdcf-4e9c-a171-b096ff244376",
   "metadata": {},
   "outputs": [],
   "source": [
    "model = init_from_config(CONFIG)\n",
    "\n",
    "# comment to train from scratch\n",
    "# if Path(CONFIG.model_path).exists():\n",
    "#     model.load_state_dict(torch.load(CONFIG.model_path))\n",
    "#     print(\"LOADED from checkpoint.\")\n",
    "    \n",
    "model.eval()\n",
    "model.cuda();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "43dcf5cb-a10a-4f02-811a-1c365e2e1bed",
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = torch.optim.AdamW(params=model.parameters(), lr=1e-3, weight_decay=0)\n",
    "\n",
    "def get_lr(optimizer):\n",
    "    return list(optimizer.param_groups)[0]['lr']\n",
    "\n",
    "def set_lr(optimizer, passes_through_dataset):\n",
    "    pass\n",
    "\n",
    "loss_function = torch.nn.CrossEntropyLoss()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6f489d1-0d5d-43ec-bcaf-f01a82c28bf1",
   "metadata": {},
   "source": [
    "### Обучение"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "c3851a9d-1867-4c5e-b4ec-3598448a054f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 42105/42105 [02:02<00:00, 343.16it/s, loss: 2.246252e+00, acc: 0.80, lr: 1.000000e-03, passes_through_dataset: 49/50]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# training loop\n",
    "epochs = int(train_data.shape[0]/CONFIG.batch_size*CONFIG.max_passes_through_dataset)\n",
    "ppp = tqdm.trange(epochs)\n",
    "loss_hist = []\n",
    "weight_hist = []\n",
    "acc_hist = []\n",
    "f, (ax1, ax2, ax3)  = plt.subplots(1,3, figsize=(4*3,4))\n",
    "\n",
    "def init_batch_generator(train_data, train_labels, batch_size):\n",
    "    \"\"\"\n",
    "    Возвращает функцию, вызов которой возвращает следующие batch_size\n",
    "    примеров и им соответствуюющих меток из train_data, train_labels.\n",
    "    \n",
    "    Примеры выбираются последовательно, по кругу. Массивы с входными \n",
    "    примерами и метками классов перемешиваются в начале каждого круга.\n",
    "    \"\"\"\n",
    "    def f():\n",
    "        i = 0\n",
    "        rnd_indx = torch.randperm(train_data.shape[0])\n",
    "        train_data_shuffled = train_data[rnd_indx]\n",
    "        train_labels_shuffled = train_labels[rnd_indx]\n",
    "        while True:\n",
    "            if i + batch_size > train_data.shape[0]:\n",
    "                i = 0\n",
    "                rnd_indx = torch.randperm(train_data.shape[0])\n",
    "                train_data_shuffled = train_data[rnd_indx]\n",
    "                train_labels_shuffled = train_labels[rnd_indx]\n",
    "                \n",
    "            batch_inputs = train_data_shuffled[i:i+batch_size]\n",
    "            batch_targets = train_labels_shuffled[i:i+batch_size]\n",
    "            i = i + batch_size\n",
    "            yield batch_inputs, batch_targets\n",
    "    return f()\n",
    "\n",
    "batch_iterator = init_batch_generator(train_data, train_targets, CONFIG.batch_size)\n",
    "i = 0\n",
    "\n",
    "for epoch in ppp:     \n",
    "  batch_inputs, batch_targets = next(batch_iterator)\n",
    "  batch_inputs = batch_inputs.cuda()\n",
    "  batch_targets = batch_targets.cuda()\n",
    "  i = i + CONFIG.batch_size\n",
    "  passes_through_dataset = i//train_data.shape[0]\n",
    "  # apply model\n",
    "  predicted, convolved = model(batch_inputs)\n",
    "  # correct model\n",
    "  loss_value = loss_function(predicted, batch_targets)\n",
    "\n",
    "  loss_value.backward()\n",
    "  optimizer.step()\n",
    "\n",
    "  # для небольших батчей следует уменьшать частоту вывода \n",
    "  if epoch % 100 == 0:\n",
    "    acc = accuracy_score(to_class_labels(batch_targets), to_class_labels(predicted))\n",
    "    ppp.set_postfix_str(\"loss: {:e}, acc: {:.2f}, lr: {:e}, passes_through_dataset: {}/{}\".format(loss_value, acc, get_lr(optimizer), passes_through_dataset, CONFIG.max_passes_through_dataset))\n",
    "    loss_hist.append(loss_value.item())   \n",
    "    weight_hist.append(get_lr(optimizer))\n",
    "    acc_hist.append(acc)\n",
    "      \n",
    "  if epoch % 1000 == 0 and epoch > 0:  \n",
    "    vis_loss_hist = np.array(loss_hist)\n",
    "    ax1.cla()\n",
    "    ax2.cla()\n",
    "    ax3.cla()\n",
    "    ax1.plot(np.linspace(0, i, num=len(vis_loss_hist))/len(train_data), vis_loss_hist, label='aloss')\n",
    "    ax1.set_xlabel('passes_through_dataset')\n",
    "    ax1.set_yscale('log')\n",
    "    ax1.set_title(\"loss\")\n",
    "    ax2.set_title(\"optimizer learning rate\")\n",
    "    ax2.set_xlabel('passes_through_dataset')\n",
    "    ax2.set_yscale('log')      \n",
    "    ax2.plot(np.linspace(0,  i, num=len(weight_hist))/len(train_data), weight_hist, label='lr')\n",
    "    ax3.set_title(\"accuracy\")\n",
    "    ax3.set_xlabel('passes_through_dataset')\n",
    "    ax3.plot(np.linspace(0,  i, num=len(acc_hist))/len(train_data), acc_hist, label='acc')\n",
    "    clear_output(wait=True)\n",
    "    f.tight_layout()\n",
    "    display(f)\n",
    "    f.savefig(CONFIG.loss_plot_path)\n",
    "\n",
    "  set_lr(optimizer, passes_through_dataset)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae4259bb-199b-43ee-951a-4d481dd1cddc",
   "metadata": {},
   "source": [
    "### Тест"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "f68545e2-7f65-464e-94ef-cee7ffd0236a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('Accuracy on test dataset: ', 0.786875)"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inputs = test_data\n",
    "targets = test_targets\n",
    "\n",
    "predicted = []\n",
    "batch_start = 0\n",
    "while batch_start < test_data.shape[0]:\n",
    "    batch_end = min(batch_start + CONFIG.test_batch_size, test_data.shape[0])\n",
    "    batch_input = inputs[batch_start:batch_end].cuda() \n",
    "    batch_output, _ = model(batch_input)\n",
    "    predicted.append(batch_output.detach().cpu())\n",
    "    batch_start = batch_end\n",
    "\n",
    "predicted = torch.concat(predicted)\n",
    "\n",
    "test_acc = accuracy_score(to_class_labels(targets), to_class_labels(predicted))\n",
    "\"Accuracy on test dataset: \", test_acc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "9a4cd483-be14-4222-b3c6-0fadd0b1c017",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 750x750 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "class_id = 0 \n",
    "example_num = 2\n",
    "image = test_data[test_labels==class_id][example_num:example_num+1]\n",
    "imshow(image, title=f\"Input image\")\n",
    "softmax, convolved = model(image.cuda())\n",
    "\n",
    "for idx, psf in enumerate(convolved):\n",
    "    psf = psf.squeeze().cpu()\n",
    "    grid_to_depth = rearrange(\n",
    "        psf,\n",
    "        \"(m ht) (n wt) -> (m n) ht wt\",\n",
    "        ht = model.tile_size*model.resolution_scale_factor,\n",
    "        wt = model.tile_size*model.resolution_scale_factor,\n",
    "        m = model.tiles_per_dim,\n",
    "        n = model.tiles_per_dim\n",
    "    )\n",
    "    # 5\n",
    "    grid_to_depth = unpad_zeros(\n",
    "        grid_to_depth, \n",
    "        (model.kernel_size_pixels*model.resolution_scale_factor,  \n",
    "         model.kernel_size_pixels*model.resolution_scale_factor))\n",
    "    # 2\n",
    "    grid_to_depth = pad_zeros(\n",
    "        grid_to_depth, \n",
    "        size = (model.tile_size*model.resolution_scale_factor , \n",
    "                model.tile_size*model.resolution_scale_factor ),\n",
    "    )\n",
    "    grid_to_depth = rearrange(\n",
    "        grid_to_depth,\n",
    "        \"(m n) ht wt -> (m ht) (n wt)\",\n",
    "        ht = model.tile_size*model.resolution_scale_factor,\n",
    "        wt = model.tile_size*model.resolution_scale_factor,\n",
    "        m = model.tiles_per_dim,\n",
    "        n = model.tiles_per_dim\n",
    "    )\n",
    "    \n",
    "    f, ax = imshow(grid_to_depth, figsize=(15*0.5,15*0.5), title=f\"Result of optical convolution with phase plate for image {idx}\")\n",
    "    ax[0].hlines(np.arange(0, grid_to_depth.shape[0], grid_to_depth.shape[0]//model.tiles_per_dim), 0, psf.shape[1]-1)\n",
    "    ax[0].vlines(np.arange(0, grid_to_depth.shape[1], grid_to_depth.shape[1]//model.tiles_per_dim), 0, psf.shape[0]-1)\n",
    "    y,x = (psf==torch.max(grid_to_depth)).nonzero()[0]\n",
    "    ax[0].text(x,y, \"max\", color='white');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63f39f87-5a98-454b-9f1c-fdc712b11f0b",
   "metadata": {},
   "source": [
    "### Сохранение рельефа"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "296f2dab-6f4a-40b1-81ea-a1e7ed7e72ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow([torch.log(x.cpu().detach()).imag for x in model.height_maps], figsize=(20*0.5,10*0.5));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "f29aec08-f946-4044-b19d-8718c4673f7c",
   "metadata": {},
   "outputs": [],
   "source": [
    "for idx, heights in enumerate(model.height_maps):\n",
    "    heights = heights.cpu().detach()\n",
    "    heights = torch.log(heights).imag\n",
    "    m = heights.abs().mean()\n",
    "    s = heights.abs().std()\n",
    "    m1, m2 = heights.abs().min(), heights.abs().max()\n",
    "    ar = heights.numpy() \n",
    "    im = ar\n",
    "    im = im - im.min()\n",
    "    im = im / im.max()\n",
    "    im = im * 255\n",
    "    name_im = CONFIG.experiment_dir / (CONFIG.name_id + f\"_phasemask_{idx}.png\")\n",
    "    name_np = CONFIG.experiment_dir / (CONFIG.name_id + f\"_phasemask_{idx}\")\n",
    "    result = Image.fromarray(im.astype(np.uint8))\n",
    "    result.save(name_im)\n",
    "    np.save(name_np, ar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "397220b7-9f0f-416c-a8ad-0bd6ce8220ab",
   "metadata": {},
   "outputs": [],
   "source": [
    "torch.save(model.state_dict(), CONFIG.model_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "5eba0fb6-4ea2-416f-ba52-088524f7478b",
   "metadata": {},
   "outputs": [],
   "source": [
    "time.sleep(121)\n",
    "Path(CONFIG.experiment_dir / f\"{CONFIG.name_id}.ipynb\").write_bytes(Path(\"Propagator_QuickDraw.ipynb\").read_bytes());"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f21dd086-97e2-4a68-8231-618514de4eeb",
   "metadata": {},
   "source": [
    "### Отладка"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "170205af-f83c-4f3f-93b2-2dcfffef1df2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([1, 1, 14, 14]) (56, 56)\n",
      "torch.Size([1, 16, 14, 14]) (14, 14)\n"
     ]
    }
   ],
   "source": [
    "class_id = 0\n",
    "image = test_data[test_labels==class_id][:1]\n",
    "softmax, convolved, dbg = model.forward_debug(image.cuda())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "d4d4a275-c16d-430f-997d-ac25c52cda1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# resized input image\n",
    "imshow(dbg[0]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "be30414a-06b5-4768-a680-994d598421f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# padded input image\n",
    "imshow(dbg[1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "8d8e40d5-7d30-4a96-b747-3568d1e0c96d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# convolution output image\n",
    "imshow(dbg[2],figsize=(10,10));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "e7cd6019-d1f7-4cd7-b90f-25eacaa6f8c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AAIg29ACHBwUwAACAISwrRn4DHkJhGZCDnSL7swMAAGhFfHIZM1oiPz9fQ4YMUWJiolJSUjR+/HiVlpYGzamtrVVeXp46deqkDh06aMKECaqsrAyas3//fo0dO1bt2rVTSkqK7rnnHjU2NgbN2bhxowYOHCi3263zzz9fy5cvb/H7TAEMAABgCL/1rzYIZ0fL8t60aZPy8vK0detWFRQUqKGhQaNHj1ZNTU1gzt13361XX31Vf/nLX7Rp0yYdOHBA11xzTeC8z+fT2LFjVV9fr7ffflvPPPOMli9frjlz5gTmlJWVaezYsRo5cqRKSko0ffp0/fznP9frr7/eonxpgQAAADCE35AWiJbmsG7duqDXy5cvV0pKioqLizV8+HBVVVXpT3/6k1auXKnLL79ckvT000+rR48e2rp1qy6++GK98cYb2rNnj958802lpqaqf//+WrBggWbOnKl58+YpLi5OS5cuVVZWlh599FFJUo8ePbRlyxY9/vjjys3NPeV8nX+HAQAAYCSv1xs06urqTunjqqqqJEnJycmSpOLiYjU0NCgnJycwp3v37uratauKiookSUVFRerTp49SU1MDc3Jzc+X1erV79+7AnO/HaJrTFONUUQADAAAYwi+XMUOSMjMzlZSUFBj5+fkn/xz8fk2fPl3Dhg1T795HnhFQUVGhuLg4dezYMWhuamqqKioqAnO+X/w2nW86d6I5Xq9X33333Sm/z7RAAAAAGMK0B2GUl5fL4/EEjrvd7pN+bF5enj744ANt2bLFtvzOFAUwAACAIUzrAfZ4PEEF8MlMmzZNa9as0ebNm9WlS5fA8bS0NNXX1+vQoUNBq8CVlZVKS0sLzNm+fXtQvKZdIr4/5+idIyorK+XxeJSQkHDKeTr/DgMAAEDS/7ZAOL4DxL9aIE6VZVmaNm2aVq1apfXr1ysrKyvo/KBBg9S2bVsVFhYGjpWWlmr//v3Kzs6WJGVnZ+v999/XwYMHA3MKCgrk8XjUs2fPwJzvx2ia0xTjVLECDAAAYAhLLS8+7cqjJfLy8rRy5Uq9/PLLSkxMDPTsJiUlKSEhQUlJSZo6dapmzJih5ORkeTwe3XHHHcrOztbFF18sSRo9erR69uypG2+8UQsXLlRFRYXuv/9+5eXlBVovbrvtNj311FO69957dfPNN2v9+vV68cUXtXbt2hblywowAAAAzsiSJUtUVVWlESNGKD09PTBeeOGFwJzHH39cV111lSZMmKDhw4crLS1NL730UuB8bGys1qxZo9jYWGVnZ+uGG27Q5MmTNX/+/MCcrKwsrV27VgUFBerXr58effRR/fGPf2zRFmgSK8AAAADGaGpBcFpLc7Cskz85Iz4+XosXL9bixYuPO6dbt2567bXXThhnxIgReuedd1qU39EogAEAAAxh2k1wkYoCGAAAwBCtdQW4taEABgAAMITfkJvgTMjBThTAAAAAhmAFODwiu8EDAAAAOAorwAAAAIZgBTg8KIABAAAMQQEcHsYWwJ5it2Lj3CGNmbLz25DGa1J2TQdb4tZ1tOeL7/NZA22J6/nk5HsAno5Ov2prS1zvNfbkm7gv1pa4/jhbwsofZ8/74D7UYEvcr24YZEvcTu95Qx6z0VcX8pgAIhsFcHgYWwADAABEG0tm7MBgz9KIObgJDgAAAFGFFWAAAABD0AIRHhTAAAAAhqAADg8KYAAAAENQAIcHBTAAAIAhKIDDw/ab4H7729/K5XJp+vTpdl8KAACgVbMslzEjktlaAO/YsUO///3v1bdvXzsvAwAAAJwy2wrg6upqTZo0SX/4wx901lln2XUZAACAiOGXy5gRyWwrgPPy8jR27Fjl5OSccF5dXZ28Xm/QAAAAiEZNPcAmjEhmy01wzz//vHbt2qUdO3acdG5+fr5+/etf25EGAABAq2JK/60JOdgp5CvA5eXluuuuu7RixQrFx8efdP6sWbNUVVUVGOXl5aFOCQAAoFVwetWXFeDTVFxcrIMHD2rgwIGBYz6fT5s3b9ZTTz2luro6xcbGBs653W653e5QpwEAANDqsAIcHiEvgEeNGqX3338/6NhNN92k7t27a+bMmUHFLwAAABBuIS+AExMT1bt376Bj7du3V6dOnY45DgAAgH+xDGk/YAUYAAAAYWFJsiynsziSRyQLSwG8cePGcFwGAACgVfPLJZcBe/BG+j7ArAADAAAYgpvgwoMCGAAAwBB+yyWXAcWnCX3IdrLtSXAAAACAiVgBBgAAMIRlGXITnAE52MnYArimi6WY+NC++53ft+fT/WjyElvi9ut+nS1xO/9fjy1xPe9+YUtc31ntbYmbUGHPn3fqk2wJq04fNtoSt7qrPX8IiispsyVuYuy5tsT9LiP0X2eNDex7DqBl6AEOD2MLYAAAgGhDARweFMAAAACG4Ca48KAABgAAMAQ9wOHBLhAAAACIKqwAAwAAGOLICrDz7QeRvgJMAQwAAGAIboILDwpgAAAAQ1j/O5xmQg52ogAGAAAwBCvA4UEBDAAAYAqWgMOCXSAAAAAQVVgBBgAAMIUhLRAyIQcbUQADAAAYggdhhAcFMAAAgCG4CS48KIABAABMYbnMaD8wIQcbUQADAAAYghaI8GAXCAAAAEQVVoABAABMwT7AYUEBDAAAYAhuggsPCmAAAACTRPjqqwnoAQYAADBE0wqwCaOlNm/erHHjxikjI0Mul0urV68OOv+zn/1MLpcraFxxxRVBc77++mtNmjRJHo9HHTt21NSpU1VdXR0057333tNll12m+Ph4ZWZmauHChS3OlQIYAADAFJZBo4VqamrUr18/LV68+LhzrrjiCn3++eeB8dxzzwWdnzRpknbv3q2CggKtWbNGmzdv1q233ho47/V6NXr0aHXr1k3FxcV6+OGHNW/ePC1btqxFuRrbAhH/hUux7tD2n7j89vxN4dz/9x+2xI2ps+f3k7TPamyJa7WPtyXuFwM72BK3uqs9Xw8denxjS9yvlGxL3PbltoTVp7f1sCVu178esiWuq7wi5DEb/fUhjwkAphozZozGjBlzwjlut1tpaWnNnvvwww+1bt067dixQ4MHD5YkPfnkk7ryyiv1yCOPKCMjQytWrFB9fb3+/Oc/Ky4uTr169VJJSYkee+yxoEL5ZFgBBgAAMIbLoHFkxfX7o66u7ow+u40bNyolJUUXXnihbr/9dn311VeBc0VFRerYsWOg+JWknJwcxcTEaNu2bYE5w4cPV1xcXGBObm6uSktL9c03p74ARQEMAABgCqfbHo5qgcjMzFRSUlJg5Ofnn/andsUVV+jZZ59VYWGhHnroIW3atEljxoyRz+eTJFVUVCglJSXoY9q0aaPk5GRVVFQE5qSmpgbNaXrdNOdUGNsCAQAAEHUM2we4vLxcHo8ncNjtdp92yIkTJwb+u0+fPurbt6/OO+88bdy4UaNGjTrtuKeDFWAAAABTWC5zhiSPxxM0zqQAPtq5556rzp07a9++fZKktLQ0HTx4MGhOY2Ojvv7660DfcFpamiorK4PmNL0+Xm9xcyiAAQAADGFZ5gy7ffbZZ/rqq6+Unp4uScrOztahQ4dUXFwcmLN+/Xr5/X4NHTo0MGfz5s1qaGgIzCkoKNCFF16os84665SvTQEMAACAM1ZdXa2SkhKVlJRIksrKylRSUqL9+/erurpa99xzj7Zu3ap//OMfKiws1NVXX63zzz9fubm5kqQePXroiiuu0C233KLt27frrbfe0rRp0zRx4kRlZGRIkq6//nrFxcVp6tSp2r17t1544QX97ne/04wZM1qUqy0F8D//+U/dcMMN6tSpkxISEtSnTx/t3LnTjksBAABEDqdvfDuDfYB37typAQMGaMCAAZKkGTNmaMCAAZozZ45iY2P13nvv6Yc//KF+8IMfaOrUqRo0aJD+9re/BbVVrFixQt27d9eoUaN05ZVX6tJLLw3a4zcpKUlvvPGGysrKNGjQIP3iF7/QnDlzWrQFmmTDTXDffPONhg0bppEjR+qvf/2rzj77bO3du7dFy9IAAABR6Xv9t47n0UIjRoyQdYLeiddff/2kMZKTk7Vy5coTzunbt6/+9re/tTi/7wt5AfzQQw8pMzNTTz/9dOBYVlZWqC8DAAAQcVzWkeE0E3KwU8hbIF555RUNHjxYP/7xj5WSkqIBAwboD3/4w3Hn19XVHbPJMgAAQFRyuu3hDFogWpOQF8CffPKJlixZogsuuECvv/66br/9dt1555165plnmp2fn58ftMFyZmZmqFMCAABoHZze+uyobdAiVcgLYL/fr4EDB+rBBx/UgAEDdOutt+qWW27R0qVLm50/a9YsVVVVBUZ5eXmoUwIAAAACQt4DnJ6erp49ewYd69Gjh/7nf/6n2flutzukmyoDAAC0Wqa0H5iQg41CXgAPGzZMpaWlQcc++ugjdevWLdSXAgAAiCwUwGER8haIu+++W1u3btWDDz6offv2aeXKlVq2bJny8vJCfSkAAIDI4vSNb9wEd3qGDBmiVatW6bnnnlPv3r21YMECLVq0SJMmTQr1pQAAACKL0ze+RclNcCFvgZCkq666SldddZUdoQEAACIW+wCHhy2PQgYAAABMZcsKMAAAAE6DKf23JuRgI1aAAQAAEFVYAQYAADCES2b030b2LXAGF8AdDvjVpq0/pDH3XWfPAze6vhbaPJu0ram3JW7Me/tsifvdv/eyJW7t2fZ8G/o6+GyJG/vKWbbEPWftx7bELV+abEvcs3/fwZa432W0tyVugj8l5DEtX530dcjDAohkpuzAYEIONjK2AAYAAIg69ACHBT3AAAAAiCqsAAMAAJiCFeCwoAAGAAAwBA/CCA8KYAAAAFOwAhwWFMAAAACmoAAOCwpgAAAAQ9ACER7sAgEAAICowgowAACAKXgQRlhQAAMAAJiCHuCwoAAGAAAwBD3A4UEBDAAAYApWgMOCm+AAAAAQVVgBBgAAMIUhLRCRvgJMAQwAAGAKWiDCggIYAADAFBTAYUEBDAAAYAh2gQgPboIDAABAVKEABgAAQFShBQIAAMAU9ACHBQUwAACAIegBDg9jC+AOL+1QG1fbkMZMTswOabwmCfurbInr8vlsiVuX3cOWuLXJsbbEtUtyiT0dQFUX2BJWqW1D+/3QJPn3HWyJ2277x7bEPfijC22Jm7DfhqB+G2ICiHwRXnyawNgCGAAAIOrQAhEWFMAAAACGoAUiPNgFAgAAAFGFFWAAAABT0AIRFhTAAAAAhqAFIjwogAEAAEzBCnBYhLwH2Ofzafbs2crKylJCQoLOO+88LViwQJYV4e8kAADAmbIMGhEs5CvADz30kJYsWaJnnnlGvXr10s6dO3XTTTcpKSlJd955Z6gvBwAAEDFogQiPkBfAb7/9tq6++mqNHTtWknTOOefoueee0/bt20N9KQAAAKDFQt4Ccckll6iwsFAfffSRJOndd9/Vli1bNGbMmGbn19XVyev1Bg0AAICo5HTbAy0Qp+e+++6T1+tV9+7dFRsbK5/PpwceeECTJk1qdn5+fr5+/etfhzoNAACA1seU4tOEHGwU8hXgF198UStWrNDKlSu1a9cuPfPMM3rkkUf0zDPPNDt/1qxZqqqqCozy8vJQpwQAANAqNPUAmzAiWchXgO+55x7dd999mjhxoiSpT58++vTTT5Wfn68pU6YcM9/tdsvtdoc6DQAAgNaHFeCwCHkBfPjwYcXEBC8sx8bGyu/3h/pSAAAAEcWU1VcTcrBTyFsgxo0bpwceeEBr167VP/7xD61atUqPPfaYfvSjH4X6UgAAADDE5s2bNW7cOGVkZMjlcmn16tVB5y3L0pw5c5Senq6EhATl5ORo7969QXO+/vprTZo0SR6PRx07dtTUqVNVXV0dNOe9997TZZddpvj4eGVmZmrhwoUtzjXkBfCTTz6pa6+9Vv/5n/+pHj166Je//KX+4z/+QwsWLAj1pQAAACKL0zs/nMEuEDU1NerXr58WL17c7PmFCxfqiSee0NKlS7Vt2za1b99eubm5qq2tDcyZNGmSdu/erYKCAq1Zs0abN2/WrbfeGjjv9Xo1evRodevWTcXFxXr44Yc1b948LVu2rEW5hrwFIjExUYsWLdKiRYtCHRoAACCyGdYDfPT2tCe6d2vMmDHH3fbWsiwtWrRI999/v66++mpJ0rPPPqvU1FStXr1aEydO1Icffqh169Zpx44dGjx4sKQjC6tXXnmlHnnkEWVkZGjFihWqr6/Xn//8Z8XFxalXr14qKSnRY489FlQon0zIV4ABAABwelwGDUnKzMxUUlJSYOTn55/W51VWVqaKigrl5OQEjiUlJWno0KEqKiqSJBUVFaljx46B4leScnJyFBMTo23btgXmDB8+XHFxcYE5ubm5Ki0t1TfffHPK+YR8BRgAAACnybAV4PLycnk8nsDh0925q6KiQpKUmpoadDw1NTVwrqKiQikpKUHn27Rpo+Tk5KA5WVlZx8RoOnfWWWedUj4UwAAAAIYwbRcIj8cTVABHClogAAAAYKu0tDRJUmVlZdDxysrKwLm0tDQdPHgw6HxjY6O+/vrroDnNxfj+NU6FsSvAseedo9jY0D4g4+wV74Q0XpO/P9bXlrjdXrXnV8B2RR/ZEjemd9bJJ52GL/sn2BI3dUejPXELD5580mnwJ3WwJW7VuW1tidtub5Itcf32pKvSWzqGPKb/u1ppZsjDAohkhrVAhEpWVpbS0tJUWFio/v37Szpyg922bdt0++23S5Kys7N16NAhFRcXa9CgQZKk9evXy+/3a+jQoYE5v/rVr9TQ0KC2bY/8g1BQUKALL7zwlNsfJFaAAQAAzOL09menWfxWV1erpKREJSUlko7c+FZSUqL9+/fL5XJp+vTp+s1vfqNXXnlF77//viZPnqyMjAyNHz9ektSjRw9dccUVuuWWW7R9+3a99dZbmjZtmiZOnKiMjAxJ0vXXX6+4uDhNnTpVu3fv1gsvvKDf/e53mjFjRotyNXYFGAAAINqY1gPcEjt37tTIkSMDr5uK0ilTpmj58uW69957VVNTo1tvvVWHDh3SpZdeqnXr1ik+Pj7wMStWrNC0adM0atQoxcTEaMKECXriiScC55OSkvTGG28oLy9PgwYNUufOnTVnzpwWbYEmUQADAACYoxW3QIwYMUKWdfwPdLlcmj9/vubPn3/cOcnJyVq5cuUJr9O3b1/97W9/a3mC30MBDAAAYIjWvALcmtADDAAAgKjCCjAAAIApWnELRGtCAQwAAGAIWiDCgwIYAADAFKwAhwUFMAAAgCkogMOCAhgAAMAQtECEB7tAAAAAIKqwAgwAAGAKWiDCggIYAADAEC7LkusET1MLZx6RjAIYAADAFKwAhwUFMAAAgCG4CS48KIABAABMwQpwWLALBAAAAKIKK8AAAACGoAUiPCiAAQAATEELRFhQAAMAABiCFeDwoAAGAAAwBSvAYRFVBbCrQ3tb4nbeEWtLXPdX1bbE9V/Q1Za4bSu9tsTNeCvOlrhtvfW2xFV9gy1h90/8N1viZj683Za4uvA8W8Jm/PQftsT95qMuIY9pyRfymAAiX6SvvpqAXSAAAAAQVaJqBRgAAMBolnVkOM2EHGxEAQwAAGAIboILDwpgAAAAU3ATXFhQAAMAABjC5T8ynGZCDnaiAAYAADAFK8Bh0eJdIDZv3qxx48YpIyNDLpdLq1evDjpvWZbmzJmj9PR0JSQkKCcnR3v37g1VvgAAAMAZaXEBXFNTo379+mnx4sXNnl+4cKGeeOIJLV26VNu2bVP79u2Vm5ur2traM04WAAAgkjXdBGfCiGQtboEYM2aMxowZ0+w5y7K0aNEi3X///br66qslSc8++6xSU1O1evVqTZw48cyyBQAAiGRsgxYWIX0QRllZmSoqKpSTkxM4lpSUpKFDh6qoqKjZj6mrq5PX6w0aAAAA0cjpVd9oWQEOaQFcUVEhSUpNTQ06npqaGjh3tPz8fCUlJQVGZmZmKFMCAABoPSyDRgRz/FHIs2bNUlVVVWCUl5c7nRIAAIAjnF71ZQX4NKSlpUmSKisrg45XVlYGzh3N7XbL4/EEDQAAAMAuIS2As7KylJaWpsLCwsAxr9erbdu2KTs7O5SXAgAAiDxNN8GZMCJYi3eBqK6u1r59+wKvy8rKVFJSouTkZHXt2lXTp0/Xb37zG11wwQXKysrS7NmzlZGRofHjx4cybwAAgIhjSvuBCTnYqcUF8M6dOzVy5MjA6xkzZkiSpkyZouXLl+vee+9VTU2Nbr31Vh06dEiXXnqp1q1bp/j4+NBlDQAAEIlMuQHNhBxs1OICeMSIEbJOsCzucrk0f/58zZ8//4wSAwAAiDasAIdHiwtgAAAA2MRvHRlOMyEHGzm+DRoAAAAQTqwAAwAAmIIe4LCgAAYAADCES2b037qcTsBmxhbAn/+fVMW6Q7tzRJvDqSefdBpSNlWefNJp+CrbnnyTPv7OlrhfXG5Pvp3eO2xL3LIftbMl7tm7utoSt8uGalvifnP9EFviJu215//bZwWdbInboSH0MX11vtAHBRDZTNmD14QcbGRsAQwAABBt2AUiPLgJDgAAAFGFFWAAAABTcBNcWFAAAwAAGMJlWXIZ0H9rQg52ogAGAAAwhf9/h9NMyMFGFMAAAACGYAU4PCiAAQAATEEPcFiwCwQAAACiCgUwAACAKZoehGHCaIF58+bJ5XIFje7duwfO19bWKi8vT506dVKHDh00YcIEVVYGP0hs//79Gjt2rNq1a6eUlBTdc889amxsDMnbejRaIAAAAAzRmh+E0atXL7355puB123a/KvMvPvuu7V27Vr95S9/UVJSkqZNm6ZrrrlGb731liTJ5/Np7NixSktL09tvv63PP/9ckydPVtu2bfXggw+e8edzNApgAAAAU7TiRyG3adNGaWlpxxyvqqrSn/70J61cuVKXX365JOnpp59Wjx49tHXrVl188cV64403tGfPHr355ptKTU1V//79tWDBAs2cOVPz5s1TXFzcGX9K30cLBAAAgCFcfnOGJHm93qBRV1d33Nz37t2rjIwMnXvuuZo0aZL2798vSSouLlZDQ4NycnICc7t3766uXbuqqKhIklRUVKQ+ffooNTU1MCc3N1der1e7d+8O+ftMAQwAAGAKp/t+j+oBzszMVFJSUmDk5+c3m/bQoUO1fPlyrVu3TkuWLFFZWZkuu+wyffvtt6qoqFBcXJw6duwY9DGpqamqqKiQJFVUVAQVv03nm86FGi0QAAAAaFZ5ebk8Hk/gtdvtbnbemDFjAv/dt29fDR06VN26ddOLL76ohIQE2/NsKVaAAQAATGEZNCR5PJ6gcbwC+GgdO3bUD37wA+3bt09paWmqr6/XoUOHguZUVlYGeobT0tKO2RWi6XVzfcVnigIYAADAEE1PgjNhnInq6mp9/PHHSk9P16BBg9S2bVsVFhYGzpeWlmr//v3Kzs6WJGVnZ+v999/XwYMHA3MKCgrk8XjUs2fPM8qlObRAAAAAmKKV7gLxy1/+UuPGjVO3bt104MABzZ07V7GxsbruuuuUlJSkqVOnasaMGUpOTpbH49Edd9yh7OxsXXzxxZKk0aNHq2fPnrrxxhu1cOFCVVRU6P7771deXt4przq3BAUwAACAKSxJfqeTUIsfhfzZZ5/puuuu01dffaWzzz5bl156qbZu3aqzzz5bkvT4448rJiZGEyZMUF1dnXJzc/Xf//3fgY+PjY3VmjVrdPvttys7O1vt27fXlClTNH/+/FB+VgEUwAAAAIYIRftBqPJoieeff/6E5+Pj47V48WItXrz4uHO6deum1157rUXXPV30AAMAACCqsAIMAABgCkuG9AA7nYC9jC2A47yWYuNC++53fuXvIY3XxHdBF1viJnzRaEvcNl9W2xK3JqOdLXG/69zelrjnvmTP+9DYrq0tcWOq622Jezi1gy1xOz77ri1xXSMusSVuwsHQ/7T31Uf4vyAAQq+V3gTX2hhbAAMAAEQdvySX00nIjBvxbEQBDAAAYIjWehNca0MBDAAAYApaIMKCXSAAAAAQVVgBBgAAMAUrwGFBAQwAAGAKCuCwaHELxObNmzVu3DhlZGTI5XJp9erVgXMNDQ2aOXOm+vTpo/bt2ysjI0OTJ0/WgQMHQpkzAABAZPIbNCJYiwvgmpoa9evXr9lH2R0+fFi7du3S7NmztWvXLr300ksqLS3VD3/4w5AkCwAAEMmadoEwYUSyFrdAjBkzRmPGjGn2XFJSkgoKCoKOPfXUU7rooou0f/9+de3a9fSyBAAAiAa0QISF7T3AVVVVcrlc6tixY7Pn6+rqVFdXF3jt9XrtTgkAAABRzNZt0GprazVz5kxdd9118ng8zc7Jz89XUlJSYGRmZtqZEgAAgLn8ljkjgtlWADc0NOgnP/mJLMvSkiVLjjtv1qxZqqqqCozy8nK7UgIAADBbUwuECSOC2dIC0VT8fvrpp1q/fv1xV38lye12y+1225EGAABAK2NK8WlCDvYJeQHcVPzu3btXGzZsUKdOnUJ9CQAAgMhkyuqrCTnYqMUFcHV1tfbt2xd4XVZWppKSEiUnJys9PV3XXnutdu3apTVr1sjn86miokKSlJycrLi4uNBlDgAAEGn8loxYfY3wHuAWF8A7d+7UyJEjA69nzJghSZoyZYrmzZunV155RZLUv3//oI/bsGGDRowYcfqZAgAAACHQ4gJ4xIgRsk6wLH6icwAAADgBy39kOM2EHGxk+z7AAAAAOEX0AIcFBTAAAIAp6AEOCwpgAAAAU7ACHBYUwAAAAKawZEbxaUAKdjK2AK7+N5di3a6QxvT+vktI4zU5d26tLXF1drwtYb8e3NmWuMkf2tMw7/m4xpa4MYfrbYlbPa/alrjfrE61JW7qDnu+fn0jBtoS9/AP6myJ+11G6H8c+r/zSytCHhYAcIaMLYABAACiDi0QYUEBDAAAYAq/X5IBW5D5DcjBRhTAAAAApmAFOCwogAEAAExBARwWFMAAAACmYB/gsIhxOgEAAAAgnFgBBgAAMIRl+WVZzt+AZkIOdqIABgAAMIVlmdF+QA8wAAAAwsIypAeYAhgAAABh4fdLLgPaD2iBAAAAQFiwAhwW7AIBAACAqMIKMAAAgCEsv1+WAS0Q7AIBAACA8KAFIiwogAEAAEzhtySXAcUnBTAAAADCwrIkGdB+QAEMAACAcLD8liwDVoCtCC+A2QUCAAAAUYUVYAAAAFNYfpnRAmFADjaiAAYAADAELRDhYVwB3PSG++tqQx7bfzj0MSWp0VdnT9wGe/L11cfaEtdv0y+LjT573ocYX4MtcRtr7Inrq7fp67fRnq9fu/i/c9kS1/Vd6H8c+muP/D+L9H9IAIROo1VnxOpro+z5t8wULsuwn8yfffaZMjMznU4DAEKmvLxcXbp0cToNAAarra1VVlaWKioqnE4lIC0tTWVlZYqPj3c6lZAzrgD2+/06cOCAEhMT5XKdeKXH6/UqMzNT5eXl8ng8Ycrw9JGvvcjXXuTbcpZl6dtvv1VGRoZiYrjnGMCJ1dbWqr6+3uk0AuLi4iKy+JUMbIGIiYlp8UqJx+NpFf8gNyFfe5Gvvci3ZZKSkhy7NoDWJT4+PmILTtOwJAEAAICoQgEMAACAqNKqC2C32625c+fK7XY7ncopIV97ka+9yBcAECmMuwkOAAAAsFOrXgEGAAAAWooCGAAAAFGFAhgAAABRhQIYAAAAUYUCGAAAAFGlVRfAixcv1jnnnKP4+HgNHTpU27dvdzqlZuXn52vIkCFKTExUSkqKxo8fr9LSUqfTOmW//e1v5XK5NH36dKdTOa5//vOfuuGGG9SpUyclJCSoT58+2rlzp9NpNcvn82n27NnKyspSQkKCzjvvPC1YsECmbMiyefNmjRs3ThkZGXK5XFq9enXQecuyNGfOHKWnpyshIUE5OTnau3evM8nqxPk2NDRo5syZ6tOnj9q3b6+MjAxNnjxZBw4ccCxfAIDzWm0B/MILL2jGjBmaO3eudu3apX79+ik3N1cHDx50OrVjbNq0SXl5edq6dasKCgrU0NCg0aNHq6amxunUTmrHjh36/e9/r759+zqdynF98803GjZsmNq2bau//vWv2rNnjx599FGdddZZTqfWrIceekhLlizRU089pQ8//FAPPfSQFi5cqCeffNLp1CRJNTU16tevnxYvXtzs+YULF+qJJ57Q0qVLtW3bNrVv3165ubmqra0Nc6ZHnCjfw4cPa9euXZo9e7Z27dqll156SaWlpfrhD3/oQKYAAGNYrdRFF11k5eXlBV77fD4rIyPDys/PdzCrU3Pw4EFLkrVp0yanUzmhb7/91rrgggusgoIC69///d+tu+66y+mUmjVz5kzr0ksvdTqNUzZ27Fjr5ptvDjp2zTXXWJMmTXIoo+OTZK1atSrw2u/3W2lpadbDDz8cOHbo0CHL7XZbzz33nAMZBjs63+Zs377dkmR9+umn4UkKAGCcVrkCXF9fr+LiYuXk5ASOxcTEKCcnR0VFRQ5mdmqqqqokScnJyQ5ncmJ5eXkaO3Zs0PtsoldeeUWDBw/Wj3/8Y6WkpGjAgAH6wx/+4HRax3XJJZeosLBQH330kSTp3Xff1ZYtWzRmzBiHMzu5srIyVVRUBH1NJCUlaejQoa3ie0868v3ncrnUsWNHp1MBADikjdMJnI4vv/xSPp9PqampQcdTU1P197//3aGsTo3f79f06dM1bNgw9e7d2+l0juv555/Xrl27tGPHDqdTOalPPvlES5Ys0YwZM/Rf//Vf2rFjh+68807FxcVpypQpTqd3jPvuu09er1fdu3dXbGysfD6fHnjgAU2aNMnp1E6qoqJCkpr93ms6Z7La2lrNnDlT1113nTwej9PpAAAc0ioL4NYsLy9PH3zwgbZs2eJ0KsdVXl6uu+66SwUFBYqPj3c6nZPy+/0aPHiwHnzwQUnSgAED9MEHH2jp0qVGFsAvvviiVqxYoZUrV6pXr14qKSnR9OnTlZGRYWS+kaKhoUE/+clPZFmWlixZ4nQ6AAAHtcoWiM6dOys2NlaVlZVBxysrK5WWluZQVic3bdo0rVmzRhs2bFCXLl2cTue4iouLdfDgQQ0cOFBt2rRRmzZttGnTJj3xxBNq06aNfD6f0ykGSU9PV8+ePYOO9ejRQ/v373cooxO75557dN9992nixInq06ePbrzxRt19993Kz893OrWTavr+am3fe03F76effqqCggJWfwEgyrXKAjguLk6DBg1SYWFh4Jjf71dhYaGys7MdzKx5lmVp2rRpWrVqldavX6+srCynUzqhUaNG6f3331dJSUlgDB48WJMmTVJJSYliY2OdTjHIsGHDjtlW7qOPPlK3bt0cyujEDh8+rJiY4G+92NhY+f1+hzI6dVlZWUpLSwv63vN6vdq2bZuR33vSv4rfvXv36s0331SnTp2cTgkA4LBW2wIxY8YMTZkyRYMHD9ZFF12kRYsWqaamRjfddJPTqR0jLy9PK1eu1Msvv6zExMRAr2RSUpISEhIczu5YiYmJx/Qnt2/fXp06dTKyb/nuu+/WJZdcogcffFA/+clPtH37di1btkzLli1zOrVmjRs3Tg888IC6du2qXr166Z133tFjjz2mm2++2enUJEnV1dXat29f4HVZWZlKSkqUnJysrl27avr06frNb36jCy64QFlZWZo9e7YyMjI0fvx44/JNT0/Xtddeq127dmnNmjXy+XyB77/k5GTFxcU5kjMAwGFOb0NxJp588kmra9euVlxcnHXRRRdZW7dudTqlZklqdjz99NNOp3bKTN4GzbIs69VXX7V69+5tud1uq3v37tayZcucTum4vF6vddddd1ldu3a14uPjrXPPPdf61a9+ZdXV1TmdmmVZlrVhw4Zmv16nTJliWdaRrdBmz55tpaamWm632xo1apRVWlpqZL5lZWXH/f7bsGGDYzkDAJzlsixDHj8FAAAAhEGr7AEGAAAAThcFMAAAAKIKBTAAAACiCgUwAAAAogoFMAAAAKIKBTAAAACiCgUwAAAAogoFMAAAAKIKBTAAAACiCgUwAAAAogoFMAAAAKLK/wfOGezZfqbkRgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AblfrUHRTYH/7qHvBngv06nY32VK3YsyJHyByNlJ21NlS98i5cbbU/XpwvS11HV/F2lLXHW9Pv0UDUmyp+/VLtbbUret4hS11j6TYsyvhjQ383w/eumhpVcDLAghjHsshjwG7ryb0YKfwjvcAAADAMYzdAQYAAIg0zAAHBzvAAAAAhrCsKHkNOKxWPgijsLBQl19+uRITE5WSkqLRo0errKzMb01dXZ3y8vKUnJysc845R2PGjFFVVZXfmn379mnkyJFq3769UlJSdN9996mpyX/U9J133tFll10mp9OpCy+8UIsXL27115kADAAAYAiPHMYcrbFhwwbl5eVp8+bNKioqUmNjo4YPH67a2u+uM5k8ebL+9Kc/6Q9/+IM2bNig/fv364Ybbvjuc/d4NHLkSDU0NOi9997TkiVLtHjxYk2fPt23pry8XCNHjtTQoUNVWlqqSZMm6Y477tCbb77Zqn4ZgQAAADCE1zJj/MD7r+uCa2pq/M47nU45nc7j1q9Zs8bv48WLFyslJUUlJSUaPHiwqqur9fvf/17Lli3T1VdfLUlatGiRunfvrs2bN+vKK6/UW2+9pY8++khr165VamqqLr30Us2aNUtTpkzRjBkzFBsbqwULFigrK0tPPPGEJKl79+7auHGjnnrqKeXm5p7258cOMAAAgCFCPfrw/UOSMjMz5Xa7fUdhYeFpfR7V1dWSpKSkJElSSUmJGhsblZOT41vTrVs3de7cWZs2bZIkbdq0Sb1791ZqaqpvTW5urmpqarRr1y7fmu/XaF7TXON0sQMMAACAFlVUVMjlcvk+bmn391her1eTJk3SoEGD1KtXL0lSZWWlYmNj1aFDB7+1qampqqys9K35fvhtfr35tZOtqamp0ZEjRxQfH39anxcBGAAAwBBeOeRt5fytXX1Iksvl8gvApyMvL08ffvihNm7caEdrAUEABgAAMERbfxBGfn6+Vq1apeLiYnXq9N0DvdLS0tTQ0KCDBw/67QJXVVUpLS3Nt2br1q1+9ZrvEvH9NcfeOaKqqkoul+u0d38lZoABAACMEeq532NngE+XZVnKz8/XihUrtH79emVlZfm93r9/f7Vr107r1q3znSsrK9O+ffuUnZ0tScrOztYHH3ygAwcO+NYUFRXJ5XKpR48evjXfr9G8prnG6WIHGAAAwBBeGfIgjFaOYeTl5WnZsmV67bXXlJiY6JvZdbvdio+Pl9vt1oQJE1RQUKCkpCS5XC794he/UHZ2tq688kpJ0vDhw9WjRw/dfPPNmjNnjiorK/Xggw8qLy/PN3t811136bnnntP999+v22+/XevXr9fy5cu1evXqVvVLAAYAADCEZcgMsNXKHubPny9JGjJkiN/5RYsW6dZbb5UkPfXUU4qKitKYMWNUX1+v3NxcPf/887610dHRWrVqle6++25lZ2crISFB48eP18yZM31rsrKytHr1ak2ePFlPP/20OnXqpN/97netugWaRAAGAADAWbIs65Rr4uLiNG/ePM2bN++Ea7p06aI33njjpHWGDBminTt3trrH7yMAAwAAGMJrGTICYUAPdiIAAwAAGOJMLkCzq49wRgAGAAAwBDvAwUEABgAAMIRpD8IIVwRgAAAAQ7ADHBzhPeABAAAAHIMdYAAAAEOwAxwcBGAAAABDEICDw9gAnDFvp2Ic7QJas+zCvgGt16zj+9G21E1f85ktda129vxrPzI01Za6iaVxttSNHfalLXWdizraUveze5JtqXv+49/aUrfySnv+8kx/t96WurHVDQGv2eSp098DXhVAOCMAB4exARgAACDSWDLjDgynfq5b28ZFcAAAAIgo7AADAAAYghGI4CAAAwAAGIIAHBwEYAAAAEMQgIODAAwAAGAIAnBw2H4R3K9//Ws5HA5NmjTJ7rcCAABo0yzLYcwRzmwNwNu2bdNvf/tb9enTx863AQAAAE6bbQH40KFDGjdunF544QV17GjPgwEAAADCiVcOY45wZlsAzsvL08iRI5WTk3PSdfX19aqpqfE7AAAAIlHzDLAJRziz5SK4V155RTt27NC2bdtOubawsFAPP/ywHW0AAAC0KabM35rQg50CvgNcUVGhe++9V0uXLlVcXNwp10+dOlXV1dW+o6KiItAtAQAAtAmh3vVlB/gMlZSU6MCBA7rssst85zwej4qLi/Xcc8+pvr5e0dHRvtecTqecTmeg2wAAAGhz2AEOjoAH4GHDhumDDz7wO3fbbbepW7dumjJlil/4BQAAAIIt4AE4MTFRvXr18juXkJCg5OTk484DAADgO5Yh4wfsAAMAACAoLEmWFeoujvYRzoISgN95551gvA0AAECb5pVDDgPuwRvu9wFmBxgAAMAQXAQXHARgAAAAQ3gthxwGhE8T5pDtZNuT4AAAAAATsQMMAABgCMsy5CI4A3qwk7EBuPKOfop2nvpJcq0Rc9Cef5vfDGywpe6RYW5b6rpXJthS12vTd1NDoj1120d7bKnr+uhrW+oe+j/n2VL3iT8stKXuLR+Mt6Vu42cdbamb9NCnAa/ZWNsg5Qa8LIAwxgxwcBgbgAEAACINATg4CMAAAACG4CK44CAAAwAAGIIZ4ODgLhAAAACIKOwAAwAAGOLoDnDoxw/CfQeYAAwAAGAILoILDgIwAACAIax/HaFmQg92IgADAAAYgh3g4CAAAwAAmIIt4KDgLhAAAACIKOwAAwAAmMKQEQiZ0IONCMAAAACG4EEYwUEABgAAMAQXwQUHARgAAMAUlsOM8QMTerARARgAAMAQjEAEB3eBAAAAQERhBxgAAMAU3Ac4KAjAAAAAhuAiuOAgAAMAAJgkzHdfTcAMMAAAgCGad4BNOFqruLhYo0aNUkZGhhwOh1auXOn3+q233iqHw+F3XHPNNX5rvv76a40bN04ul0sdOnTQhAkTdOjQIb8177//vn74wx8qLi5OmZmZmjNnTqt7JQADAACYwjLoaKXa2lr17dtX8+bNO+Gaa665Rl988YXvePnll/1eHzdunHbt2qWioiKtWrVKxcXFmjhxou/1mpoaDR8+XF26dFFJSYkef/xxzZgxQwsXLmxVr8aOQLQ7bCm6KbD/D+CiJz4JaD2fDi5byv7o//3VlroLBg21pW6Px6tsqVt1dYYtdV0PJ9hS9+NfxtpSt9uzB22pW7B54qkXnYHUTz63pe4/r0+2pW75waSA1/Qcrg94TQAw1YgRIzRixIiTrnE6nUpLS2vxtY8//lhr1qzRtm3bNGDAAEnSs88+q2uvvVa/+c1vlJGRoaVLl6qhoUEvvviiYmNj1bNnT5WWlurJJ5/0C8qnwg4wAACAMRwGHUd3XL9/1Nef3S/277zzjlJSUnTJJZfo7rvv1ldffeV7bdOmTerQoYMv/EpSTk6OoqKitGXLFt+awYMHKzb2u82m3NxclZWV6ZtvvjntPgjAAAAApgj12MMxIxCZmZlyu92+o7Cw8Iw/tWuuuUYvvfSS1q1bp8cee0wbNmzQiBEj5PF4JEmVlZVKSUnx+zMxMTFKSkpSZWWlb01qaqrfmuaPm9ecDmNHIAAAACKOYfcBrqiokMv13ain0+k845Jjx471/XPv3r3Vp08fde3aVe+8846GDRt2xnXPBDvAAAAAprAc5hySXC6X33E2AfhYF1xwgc4991zt3btXkpSWlqYDBw74rWlqatLXX3/tmxtOS0tTVZX/NUfNH59otrglBGAAAABDWJY5h90+++wzffXVV0pPT5ckZWdn6+DBgyopKfGtWb9+vbxerwYOHOhbU1xcrMbGRt+aoqIiXXLJJerYseNpvzcBGAAAAGft0KFDKi0tVWlpqSSpvLxcpaWl2rdvnw4dOqT77rtPmzdv1j/+8Q+tW7dO119/vS688ELl5uZKkrp3765rrrlGd955p7Zu3ap3331X+fn5Gjt2rDIyjt4R6mc/+5liY2M1YcIE7dq1S6+++qqefvppFRQUtKpXWwLw559/rp///OdKTk5WfHy8evfure3bt9vxVgAAAOEj1Be+ncV9gLdv365+/fqpX79+kqSCggL169dP06dPV3R0tN5//31dd911uvjiizVhwgT1799ff/nLX/zGKpYuXapu3bpp2LBhuvbaa3XVVVf53ePX7XbrrbfeUnl5ufr376//+q//0vTp01t1CzTJhovgvvnmGw0aNEhDhw7Vn//8Z5133nnas2dPq7alAQAAItL35m9D3kcrDRkyRNZJZifefPPNU9ZISkrSsmXLTrqmT58++stf/tLq/r4v4AH4scceU2ZmphYtWuQ7l5WVFei3AQAACDsO6+gRaib0YKeAj0C8/vrrGjBggH7yk58oJSVF/fr10wsvvHDC9fX19cfdZBkAACAihXrs4SxGINqSgAfgv//975o/f74uuugivfnmm7r77rt1zz33aMmSJS2uLyws9LvBcmZmZqBbAgAAaBtCfeuzY26DFq4CHoC9Xq8uu+wyzZ49W/369dPEiRN15513asGCBS2unzp1qqqrq31HRUVFoFsCAAAAfAI+A5yenq4ePXr4nevevbv+93//t8X1TqczoDdVBgAAaLNMGT8woQcbBTwADxo0SGVlZX7ndu/erS5dugT6rQAAAMILATgoAj4CMXnyZG3evFmzZ8/W3r17tWzZMi1cuFB5eXmBfisAAIDwEuoL37gI7sxcfvnlWrFihV5++WX16tVLs2bN0ty5czVu3LhAvxUAAEB4CfWFbxFyEVzARyAk6cc//rF+/OMf21EaAAAgbHEf4OCw5VHIAAAAgKls2QEGAADAGTBl/taEHmzEDjAAAAAiCjvAAAAAhnDIjPnb8L4EzuAAfM7njYqJiQ5ozb9NywpovWaJewPbZ7Nlv/+/ttTtvuRjW+ruua+bLXXP2+m1pW7NQ7W21O2w+hxb6u67NtaWurvyn7elbtbrE22p6/DY8/2QNTcx4DWbmtoFvCaAMGfKHRhM6MFGxgZgAACAiMMMcFAwAwwAAICIwg4wAACAKdgBDgoCMAAAgCF4EEZwEIABAABMwQ5wUBCAAQAATEEADgoCMAAAgCEYgQgO7gIBAACAiMIOMAAAgCl4EEZQEIABAABMwQxwUBCAAQAADMEMcHAQgAEAAEzBDnBQcBEcAAAAIgo7wAAAAKYwZAQi3HeACcAAAACmYAQiKAjAAAAApiAABwUBGAAAwBDcBSI4uAgOAAAAEYUADAAAgIjCCAQAAIApmAEOCgIwAACAIZgBDg5jA3Bc1WHFRHsCWvPiRfZMfNR2OceWug6vPd99X17fzZa65+302lI34fM6W+o6Hk6wpe45MYdtqfv3MXG21L2y9EZb6sbtt+evl6SPA/v3QrOqy50Br+mpt6R3Al4WQLgL8/BpAmMDMAAAQMRhBCIoCMAAAACGYAQiOLgLBAAAACIKO8AAAACmYAQiKAjAAAAAhmAEIjgIwAAAAKZgBzgoAj4D7PF4NG3aNGVlZSk+Pl5du3bVrFmzZFlh/pUEAAA4W5ZBRxgL+A7wY489pvnz52vJkiXq2bOntm/frttuu01ut1v33HNPoN8OAAAgbDACERwBD8Dvvfeerr/+eo0cOVKSdP755+vll1/W1q1bA/1WAAAAQKsFfATiBz/4gdatW6fdu3dLkv76179q48aNGjFiRIvr6+vrVVNT43cAAABEpFCPPTACcWYeeOAB1dTUqFu3boqOjpbH49Gjjz6qcePGtbi+sLBQDz/8cKDbAAAAaHtMCZ8m9GCjgO8AL1++XEuXLtWyZcu0Y8cOLVmyRL/5zW+0ZMmSFtdPnTpV1dXVvqOioiLQLQEAALQJzTPAJhzhLOA7wPfdd58eeOABjR07VpLUu3dvffrppyosLNT48eOPW+90OuV0OgPdBgAAQNvDDnBQBDwAHz58WFFR/hvL0dHR8nq9gX4rAACAsGLK7qsJPdgp4CMQo0aN0qOPPqrVq1frH//4h1asWKEnn3xS//Zv/xbotwIAAIAhiouLNWrUKGVkZMjhcGjlypV+r1uWpenTpys9PV3x8fHKycnRnj17/NZ8/fXXGjdunFwulzp06KAJEybo0KFDfmvef/99/fCHP1RcXJwyMzM1Z86cVvca8AD87LPP6sYbb9R//ud/qnv37vrlL3+p//iP/9CsWbMC/VYAAADhJdR3fjiLu0DU1taqb9++mjdvXouvz5kzR88884wWLFigLVu2KCEhQbm5uaqrq/OtGTdunHbt2qWioiKtWrVKxcXFmjhxou/1mpoaDR8+XF26dFFJSYkef/xxzZgxQwsXLmxVrwEfgUhMTNTcuXM1d+7cQJcGAAAIb214BnjEiBEnvO2tZVmaO3euHnzwQV1//fWSpJdeekmpqalauXKlxo4dq48//lhr1qzRtm3bNGDAAElHN1avvfZa/eY3v1FGRoaWLl2qhoYGvfjii4qNjVXPnj1VWlqqJ5980i8on0rAd4ABAABwZhwGHZKOe1ZDfX39GX1e5eXlqqysVE5Oju+c2+3WwIEDtWnTJknSpk2b1KFDB1/4laScnBxFRUVpy5YtvjWDBw9WbGysb01ubq7Kysr0zTffnHY/BGAAAABThHrs4ZgRiMzMTLndbt9RWFh4Rp9WZWWlJCk1NdXvfGpqqu+1yspKpaSk+L0eExOjpKQkvzUt1fj+e5yOgI9AAAAA4MyYdheIiooKuVwu3/lwuXUtO8AAAABokcvl8jvONACnpaVJkqqqqvzOV1VV+V5LS0vTgQMH/F5vamrS119/7bempRrff4/TYewO8P4hHRTtjAtozYznSgJar5nT1dOWujHfNthSt/KKRFvqdvybPb9Pfd2zvS11D15iz6/YHXc5Tr3oDFyy8Etb6lb+6Dxb6lrptpSVq6zanrpvBP4plE1Wg3YHvCqAsNaGL4I7maysLKWlpWndunW69NJLJR2dL96yZYvuvvtuSVJ2drYOHjyokpIS9e/fX5K0fv16eb1eDRw40LfmV7/6lRobG9WuXTtJUlFRkS655BJ17NjxtPthBxgAAMAkoZ79PcPwe+jQIZWWlqq0tFTS0QvfSktLtW/fPjkcDk2aNEmPPPKIXn/9dX3wwQe65ZZblJGRodGjR0uSunfvrmuuuUZ33nmntm7dqnfffVf5+fkaO3asMjIyJEk/+9nPFBsbqwkTJmjXrl169dVX9fTTT6ugoKBVvRq7AwwAABBpTJsBbo3t27dr6NChvo+bQ+n48eO1ePFi3X///aqtrdXEiRN18OBBXXXVVVqzZo3i4r77P/5Lly5Vfn6+hg0bpqioKI0ZM0bPPPOM73W326233npLeXl56t+/v84991xNnz69VbdAkwjAAAAA5mjDIxBDhgyRZZ34DzocDs2cOVMzZ8484ZqkpCQtW7bspO/Tp08f/eUvf2l9g99DAAYAADBEW94BbkuYAQYAAEBEYQcYAADAFG14BKItIQADAAAYghGI4CAAAwAAmIId4KAgAAMAAJiCABwUBGAAAABDMAIRHNwFAgAAABGFHWAAAABTMAIRFARgAAAAQzgsS46TPE0tmH2EMwIwAACAKdgBDgoCMAAAgCG4CC44CMAAAACmYAc4KLgLBAAAACIKO8AAAACGYAQiOAjAAAAApmAEIigIwAAAAIZgBzg4CMAAAACmYAc4KIwNwB32NimmXVNgi/a4MLD1/qUuuZ09dbs6banb5Y0jttRt9409dRuT2ttS13F9rS11z33JpmtLP6+ypWzqZnu+fw8MdNtS9/P/m2RL3W/vOSfgNb1H6qT8gJcFEObCfffVBNwFAgAAABHF2B1gAACAiGNZR49QM6EHGxGAAQAADMFFcMFBAAYAADAFF8EFBQEYAADAEA7v0SPUTOjBTgRgAAAAU7ADHBStvgtEcXGxRo0apYyMDDkcDq1cudLvdcuyNH36dKWnpys+Pl45OTnas2dPoPoFAAAAzkqrA3Btba369u2refPmtfj6nDlz9Mwzz2jBggXasmWLEhISlJubq7q6urNuFgAAIJw1XwRnwhHOWj0CMWLECI0YMaLF1yzL0ty5c/Xggw/q+uuvlyS99NJLSk1N1cqVKzV27Niz6xYAACCccRu0oAjogzDKy8tVWVmpnJwc3zm3262BAwdq06ZNLf6Z+vp61dTU+B0AAACRKNS7vpGyAxzQAFxZWSlJSk1N9Tufmprqe+1YhYWFcrvdviMzMzOQLQEAALQdlkFHGAv5o5CnTp2q6upq31FRURHqlgAAAEIi1Lu+7ACfgbS0NElSVVWV3/mqqirfa8dyOp1yuVx+BwAAAGCXgAbgrKwspaWlad26db5zNTU12rJli7KzswP5VgAAAOGn+SI4E44w1uq7QBw6dEh79+71fVxeXq7S0lIlJSWpc+fOmjRpkh555BFddNFFysrK0rRp05SRkaHRo0cHsm8AAICwY8r4gQk92KnVAXj79u0aOnSo7+OCggJJ0vjx47V48WLdf//9qq2t1cSJE3Xw4EFdddVVWrNmjeLi4gLXNQAAQDgy5QI0E3qwUasD8JAhQ2SdZFvc4XBo5syZmjlz5lk1BgAAEGnYAQ6OVgdgAAAA2MRrHT1CzYQebBTy26ABAAAAwcQOMAAAgCmYAQ4KAjAAAIAhHDJj/tYR6gZsZmwA9rZzyNsusF/+yqvcAa3XLHr4l7bUTS6Mt6WuXf4xOtmWutGNtpRV/Yf23JnEnVxvS92vruplS127/pY72LvJlrrd7/+bLXW9F3cOeM0mT50+C3hVAGHNlHvwmtCDjYwNwAAAAJGGu0AEBxfBAQAAIKKwAwwAAGAKLoILCgIwAACAIRyWJYcB87cm9GAnAjAAAIApvP86Qs2EHmxEAAYAADAEO8DBQQAGAAAwBTPAQcFdIAAAABBR2AEGAAAwBQ/CCAp2gAEAAAzR/CAME47WmDFjhhwOh9/RrVs33+t1dXXKy8tTcnKyzjnnHI0ZM0ZVVVV+Nfbt26eRI0eqffv2SklJ0X333aemJnueKsoOMAAAgCna8A5wz549tXbtWt/HMTHfxczJkydr9erV+sMf/iC32638/HzdcMMNevfddyVJHo9HI0eOVFpamt577z198cUXuuWWW9SuXTvNnj377D+fYxCAAQAADOHwHj1C7Ux6iImJUVpa2nHnq6ur9fvf/17Lli3T1VdfLUlatGiRunfvrs2bN+vKK6/UW2+9pY8++khr165VamqqLr30Us2aNUtTpkzRjBkzFBsbe7afkh9GIAAAAEzRvANswiGppqbG76ivrz9h63v27FFGRoYuuOACjRs3Tvv27ZMklZSUqLGxUTk5Ob613bp1U+fOnbVp0yZJ0qZNm9S7d2+lpqb61uTm5qqmpka7du0K+JeZAAwAAIAWZWZmyu12+47CwsIW1w0cOFCLFy/WmjVrNH/+fJWXl+uHP/yhvv32W1VWVio2NlYdOnTw+zOpqamqrKyUJFVWVvqF3+bXm18LNEYgAAAATGHYfYArKirkcrl8p51OZ4vLR4wY4fvnPn36aODAgerSpYuWL1+u+Ph4W1s9E+wAAwAAGKL5SXAmHJLkcrn8jhMF4GN16NBBF198sfbu3au0tDQ1NDTo4MGDfmuqqqp8M8NpaWnH3RWi+eOW5orPFgEYAADAFKGe+z1mBvhMHTp0SJ988onS09PVv39/tWvXTuvWrfO9XlZWpn379ik7O1uSlJ2drQ8++EAHDhzwrSkqKpLL5VKPHj3OqpeWMAIBAABgCkuSAXeBaO0Yxi9/+UuNGjVKXbp00f79+/XQQw8pOjpaN910k9xutyZMmKCCggIlJSXJ5XLpF7/4hbKzs3XllVdKkoYPH64ePXro5ptv1pw5c1RZWakHH3xQeXl5p73r3BoEYAAAAEN8f/wg1H20xmeffaabbrpJX331lc477zxdddVV2rx5s8477zxJ0lNPPaWoqCiNGTNG9fX1ys3N1fPPP+/789HR0Vq1apXuvvtuZWdnKyEhQePHj9fMmTMD+nk1IwADAADgrLzyyisnfT0uLk7z5s3TvHnzTrimS5cueuONNwLdWosIwAAAAKawZMiT4ELdgL2MDcBN8Q5ZsY6A1kzf8HVA6zX7LP5cW+pa0UdsqXvwojhb6h7p2mBL3R4PBf7+f5JU3zXFlroxh+z5OmS88aUtdZtS3LbUPdgv8DNbklR35cW21P2qZ2CfMiRJnvpYaUfAywIIZ234UchtibEBGAAAIOJ4JQV2/+/MmHAhno0IwAAAAIZoqxfBtTUEYAAAAFMwAhEUPAgDAAAAEYUdYAAAAFOwAxwUBGAAAABTEICDotUjEMXFxRo1apQyMjLkcDi0cuVK32uNjY2aMmWKevfurYSEBGVkZOiWW27R/v37A9kzAABAePIadISxVgfg2tpa9e3bt8UneRw+fFg7duzQtGnTtGPHDv3xj39UWVmZrrvuuoA0CwAAEM6a7wJhwhHOWj0CMWLECI0YMaLF19xut4qKivzOPffcc7riiiu0b98+de7c+cy6BAAAiASMQASF7TPA1dXVcjgc6tChQ4uv19fXq76+3vdxTU2N3S0BAAAggtl6G7S6ujpNmTJFN910k1wuV4trCgsL5Xa7fUdmZqadLQEAAJjLa5lzhDHbAnBjY6N++tOfyrIszZ8//4Trpk6dqurqat9RUVFhV0sAAABmax6BMOEIY7aMQDSH308//VTr168/4e6vJDmdTjmdTjvaAAAAaGNMCZ8m9GCfgAfg5vC7Z88evf3220pOTg70WwAAAIQnU3ZfTejBRq0OwIcOHdLevXt9H5eXl6u0tFRJSUlKT0/XjTfeqB07dmjVqlXyeDyqrKyUJCUlJSk2NjZwnQMAAIQbryUjdl/DfAa41QF4+/btGjp0qO/jgoICSdL48eM1Y8YMvf7665KkSy+91O/Pvf322xoyZMiZdwoAAAAEQKsD8JAhQ2SdZFv8ZK8BAADgJCzv0SPUTOjBRrbfBxgAAACniRngoCAAAwAAmIIZ4KAgAAMAAJiCHeCgIAADAACYwpIZ4dOAFuxkbADu8FGNYqLrA1rzUFd3QOt9V7fRlrr/PBJvS92ESo8tdS98scmWunaJ/fgzW+qW33WhLXU77DnHlrreGIctdR8ctMKWuk98eoMtdc//3y8DXrPJU6+PA14VAHC2jA3AAAAAEYcRiKAgAAMAAJjC65VkwC3IvAb0YCMCMAAAgCnYAQ4KAjAAAIApCMBBQQAGAAAwBfcBDoqoUDcAAAAABBM7wAAAAIawLK8sK/QXoJnQg50IwAAAAKawLDPGD5gBBgAAQFBYhswAE4ABAAAQFF6v5DBg/IARCAAAAAQFO8BBwV0gAAAAEFHYAQYAADCE5fXKMmAEgrtAAAAAIDgYgQgKAjAAAIApvJbkMCB8EoABAAAQFJYlyYDxAwIwAAAAgsHyWrIM2AG2wjwAcxcIAAAARBR2gAEAAExheWXGCIQBPdiIAAwAAGAIRiCCw7gA3PwFb/LUB7x2U2NdwGtKkveIPb8leeo9ttRtarSpblPg/51JUpTXnrqWt9GWup46e77PPI32fJ95vQ5b6h451GRLXU+9PV9fW/7O+VfNcP8PCYDAabLqjdh9bZI9/400hcMy7G/mzz77TJmZmaFuAwACpqKiQp06dQp1GwAMVldXp6ysLFVWVoa6FZ+0tDSVl5crLi4u1K0EnHEB2Ov1av/+/UpMTJTDcfKdqZqaGmVmZqqiokIulytIHZ45+rUX/dqLflvPsix9++23ysjIUFQU1xwDOLm6ujo1NDSEug2f2NjYsAy/koEjEFFRUa3eKXG5XG3iP8jN6Nde9Gsv+m0dt9sdsvcG0LbExcWFbeA0DVsSAAAAiCgEYAAAAESUNh2AnU6nHnroITmdzlC3clro1170ay/6BQCEC+MuggMAAADs1KZ3gAEAAIDWIgADAAAgohCAAQAAEFEIwAAAAIgoBGAAAABElDYdgOfNm6fzzz9fcXFxGjhwoLZu3RrqllpUWFioyy+/XImJiUpJSdHo0aNVVlYW6rZO269//Ws5HA5NmjQp1K2c0Oeff66f//znSk5OVnx8vHr37q3t27eHuq0WeTweTZs2TVlZWYqPj1fXrl01a9YsmXJDluLiYo0aNUoZGRlyOBxauXKl3+uWZWn69OlKT09XfHy8cnJytGfPntA0q5P329jYqClTpqh3795KSEhQRkaGbrnlFu3fvz9k/QIAQq/NBuBXX31VBQUFeuihh7Rjxw717dtXubm5OnDgQKhbO86GDRuUl5enzZs3q6ioSI2NjRo+fLhqa2tD3dopbdu2Tb/97W/Vp0+fULdyQt98840GDRqkdu3a6c9//rM++ugjPfHEE+rYsWOoW2vRY489pvnz5+u5557Txx9/rMcee0xz5szRs88+G+rWJEm1tbXq27ev5s2b1+Lrc+bM0TPPPKMFCxZoy5YtSkhIUG5ururq6oLc6VEn6/fw4cPasWOHpk2bph07duiPf/yjysrKdN1114WgUwCAMaw26oorrrDy8vJ8H3s8HisjI8MqLCwMYVen58CBA5Yka8OGDaFu5aS+/fZb66KLLrKKioqsH/3oR9a9994b6pZaNGXKFOuqq64KdRunbeTIkdbtt9/ud+6GG26wxo0bF6KOTkyStWLFCt/HXq/XSktLsx5//HHfuYMHD1pOp9N6+eWXQ9Chv2P7bcnWrVstSdann34anKYAAMZpkzvADQ0NKikpUU5Oju9cVFSUcnJytGnTphB2dnqqq6slSUlJSSHu5OTy8vI0cuRIv6+ziV5//XUNGDBAP/nJT5SSkqJ+/frphRdeCHVbJ/SDH/xA69at0+7duyVJf/3rX7Vx40aNGDEixJ2dWnl5uSorK/2+J9xutwYOHNgmfvakoz9/DodDHTp0CHUrAIAQiQl1A2fiyy+/lMfjUWpqqt/51NRU/e1vfwtRV6fH6/Vq0qRJGjRokHr16hXqdk7olVde0Y4dO7Rt27ZQt3JKf//73zV//nwVFBTov//7v7Vt2zbdc889io2N1fjx40Pd3nEeeOAB1dTUqFu3boqOjpbH49Gjjz6qcePGhbq1U6qsrJSkFn/2ml8zWV1dnaZMmaKbbrpJLpcr1O0AAEKkTQbgtiwvL08ffvihNm7cGOpWTqiiokL33nuvioqKFBcXF+p2Tsnr9WrAgAGaPXu2JKlfv3768MMPtWDBAiMD8PLly7V06VItW7ZMPXv2VGlpqSZNmqSMjAwj+w0XjY2N+ulPfyrLsjR//vxQtwMACKE2OQJx7rnnKjo6WlVVVX7nq6qqlJaWFqKuTi0/P1+rVq3S22+/rU6dOoW6nRMqKSnRgQMHdNlllykmJkYxMTHasGGDnnnmGcXExMjj8YS6RT/p6enq0aOH37nu3btr3759Iero5O677z498MADGjt2rHr37q2bb75ZkydPVmFhYahbO6Xmn6+29rPXHH4//fRTFRUVsfsLABGuTQbg2NhY9e/fX+vWrfOd83q9WrdunbKzs0PYWcssy1J+fr5WrFih9evXKysrK9QtndSwYcP0wQcfqLS01HcMGDBA48aNU2lpqaKjo0Pdop9BgwYdd1u53bt3q0uXLiHq6OQOHz6sqCj/H73o6Gh5vd4QdXT6srKylJaW5vezV1NToy1bthj5syd9F3737NmjtWvXKjk5OdQtAQBCrM2OQBQUFGj8+PEaMGCArrjiCs2dO1e1tbW67bbbQt3acfLy8rRs2TK99tprSkxM9M1Kut1uxcfHh7i74yUmJh43n5yQkKDk5GQj55YnT56sH/zgB5o9e7Z++tOfauvWrVq4cKEWLlwY6tZaNGrUKD366KPq3LmzevbsqZ07d+rJJ5/U7bffHurWJEmHDh3S3r17fR+Xl5ertLRUSUlJ6ty5syZNmqRHHnlEF110kbKysjRt2jRlZGRo9OjRxvWbnp6uG2+8UTt27NCqVavk8Xh8P39JSUmKjY0NSc8AgBAL9W0ozsazzz5rde7c2YqNjbWuuOIKa/PmzaFuqUWSWjwWLVoU6tZOm8m3QbMsy/rTn/5k9erVy3I6nVa3bt2shQsXhrqlE6qpqbHuvfdeq3PnzlZcXJx1wQUXWL/61a+s+vr6ULdmWZZlvf322y1+v44fP96yrKO3Qps2bZqVmppqOZ1Oa9iwYVZZWZmR/ZaXl5/w5+/tt98OWc8AgNByWJYhj58CAAAAgqBNzgADAAAAZ4oADAAAgIhCAAYAAEBEIQADAAAgohCAAQAAEFEIwAAAAIgoBGAAAABEFAIwAAAAIgoBGAAAABGFAAwAAICIQgAGAABARPn/zRn1IiCysrcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# grid as sequence of images\n",
    "imshow([x for x in dbg[3].squeeze()]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "d41cb70b-45ee-4c18-a3ae-c85522ed4562",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NOv/tn7bUreneaEvdnnO/sKWu9e3u9tSNs+eX8PN+Hlvqeq7eZ0vdtnGJttTt9uJnttT9258usqVu53cDttRN+Jcv/EX9deGvCSCq+S2X/AasvprQg52iO94DAAAARzF2BRgAACDWMAMcGQRgAAAAQ1hWnAIG3ITCMqAHOxGAAQAADOGXS34DbkNsQg92IgADAAAYImCZMX4QiPIb+xKAAQAADBEwZATChB7sFN3fHQAAAHAUVoABAAAMEZBLAQPmb03owU4EYAAAAENwI4zIIAADAAAYghngyCAAAwAAGCIgQ26EwQgEAAAAIsEyZAbYMqAHO0X3+jYAAABwFFaAAQAADBGwDBmBMKAHOxGAAQAADMFFcJFBAAYAADAEK8CRQQAGAAAwBDfCiAwCMAAAgCFYAY6M6B7wAAAAAI7CCjAAAIAhWAGODAIwAACAIQjAkWFsALbe+UiWq01Ya6Y19gxrvSbWl4dsqZu8z55/PXXf8thS1y71Hez5HBqTbCmrmee8Ykvds4tvtqVu8kf2fBBdHtloS92vrhpgS919V2aGvaa/rlZaGPayAKIYATgyjA3AAAAAscaSGTswWE43YDMuggMAAEBMYQUYAADAEIxARAYBGAAAwBAE4MggAAMAABiCABwZBGAAAABDEIAjw/aL4H7961/L5XJp4sSJdr8VAABAq2ZZLmOOaGZrAN68ebN++9vfql+/fna+DQAAANBstgXgQ4cOady4cXrmmWfUsWNHu94GAAAgagTkMuaIZrYF4IKCAo0cOVJ5eXknPa+urk4+ny/kAAAAiEVNM8AmHNHMlovgnnvuOW3btk2bN28+5blFRUX65S9/aUcbAAAArYop87cm9GCnsK8Al5eX6+6779bSpUuVlJR0yvOnTZum6urq4FFeXh7ulgAAAFoFp1d9T3cFuKioSBdffLFSUlKUnp6u0aNHa+fOnSHn1NbWqqCgQJ06dVL79u01ZswYVVZWhpyzd+9ejRw5Um3btlV6erruueceNTY2hpyzZs0aXXTRRXK73Tr33HO1ePHiFn/OYQ/AW7duVVVVlS666CIlJCQoISFBa9eu1bx585SQkCC/3x9yvtvtVmpqasgBAAAQi5ze+eF0d4FYu3atCgoKtGHDBhUXF6uhoUHDhw9XTU1N8JxJkybp1Vdf1Z/+9CetXbtW+/bt0zXXXBN83e/3a+TIkaqvr9fbb7+tJUuWaPHixZoxY0bwnLKyMo0cOVJDhw5VaWmpJk6cqJ/+9Kd6/fXXW9Rv2Ecghg0bpu3bt4c8d9NNN6lHjx6aOnWq4uPjw/2WAAAAsMHR12a53W653e5jzluxYkXI48WLFys9PV1bt27V5Zdfrurqav3+97/XsmXL9P3vf1+StGjRIvXs2VMbNmzQpZdeqjfeeEMffPCB3nzzTWVkZOiCCy7Q7NmzNXXqVM2cOVOJiYlauHChcnJy9Oijj0qSevbsqfXr1+vxxx9Xfn5+s7+vsK8Ap6SkqE+fPiFHu3bt1KlTJ/Xp0yfcbwcAABA1LANGHwLfWAHOzs6Wx+MJHkVFRc36PqqrqyVJaWlpko5MCDQ0NIRsjtCjRw917dpVJSUlkqSSkhL17dtXGRkZwXPy8/Pl8/m0Y8eO4DlHb7CQn58frNFc3AkOAADAEJYky3K6iyN9SEeu7frmeOrxVn+PFggENHHiRA0ePDi4+FlRUaHExER16NAh5NyMjAxVVFQEz/lm+G16vem1k53j8/n01VdfKTk5uVnfX0QC8Jo1ayLxNgAAAK1aQC65DNiDt2kf4NO5PqugoEDvv/++1q9fb0drYWH7rZABAADQPE5f+Hamt0IuLCzU8uXLtXr1anXp0iX4vNfrVX19vQ4ePBhyfmVlpbxeb/Cco3eFaHp8qnNSU1ObvforEYABAACM4fTs7+lug2ZZlgoLC/XSSy9p1apVysnJCXl9wIABatOmjVauXBl8bufOndq7d69yc3MlSbm5udq+fbuqqqqC5xQXFys1NVW9evUKnvPNGk3nNNVoLmaAAQAAcEYKCgq0bNky/fnPf1ZKSkpwZtfj8Sg5OVkej0e33HKLJk+erLS0NKWmpurOO+9Ubm6uLr30UknS8OHD1atXL91www2aM2eOKioqdN9996mgoCA4e3z77bfrqaee0pQpU3TzzTdr1apVeuGFF/Taa6+1qF8CMAAAgCEsy5CL4FrYw4IFCyRJQ4YMCXl+0aJFuvHGGyVJjz/+uOLi4jRmzBjV1dUpPz9fv/nNb4LnxsfHa/ny5brjjjuUm5urdu3aacKECZo1a1bwnJycHL322muaNGmSnnjiCXXp0kW/+93vWrQFmiS5LMuEj/lrPp9PHo9H3+87RQnxp77SsCX2DekY1npNOn7cYEvdtrs/t6XuZ5dlnPqk09DxfzbZUje+o8eWulYXez6HT6a1saVuw8FT31nxdLTfbc/fg102/cmStabalro13dqHvWZjQ602vTJd1dXV3OQHwEk15Z9ez01RfNvw5p/T4T9cpw/GzonaP79YAQYAADDEmVyAFu4+ohkBGAAAwBAByyWXAeGzpRfBtTYEYAAAAEO01hng1oZt0AAAABBTWAEGAAAwxJEVYOfHD6J9BZgADAAAYAgugosMAjAAAIAhrH8fTjOhBzsRgAEAAAzBCnBkEIABAABMwRJwRLALBAAAAGIKK8AAAACmMGQEQib0YCMCMAAAgCG4EUZkEIABAAAMwUVwkUEABgAAMIXlMmP8wIQebEQABgAAMAQjEJHBLhAAAACIKawAAwAAmIJ9gCOCAAwAAGAILoKLDAIwAACASaJ89dUEBGAAAABDsAIcGQRgAAAAUzADHBHGBuDqHqmKb5MU1pqp5f6w1muS6Guwpa7a2POvp7GtLWUV186ewocHnWNL3eRPv7SlbqdX7Pkc/OM+t6Xu7674H1vq3vjQJFvqVn87xZa67oPh//PBagiEvSYA4MwZG4ABAABij+vfh9NM6ME+BGAAAABTMAIREQRgAAAAUxCAI4IADAAAYArLdeRwmgk92IgADAAAYAjLOnI4zYQe7BTndAMAAABAJNkSgP/5z3/q+uuvV6dOnZScnKy+fftqy5YtdrwVAABA9LAMOqJY2EcgDhw4oMGDB2vo0KH661//qrPOOku7du1Sx44dw/1WAAAA0YUZ4IgIewB+6KGHlJ2drUWLFgWfy8nJCffbAAAARB2XdeRwmgk92CnsIxCvvPKKBg4cqB/96EdKT0/XhRdeqGeeeeaE59fV1cnn84UcAAAAMcnpsYcYGYEIewD++9//rgULFui8887T66+/rjvuuEN33XWXlixZctzzi4qK5PF4gkd2dna4WwIAAGgdmkYgTDiiWNgDcCAQ0EUXXaQHH3xQF154oW677TbdeuutWrhw4XHPnzZtmqqrq4NHeXl5uFsCAAAAgsI+A5yZmalevXqFPNezZ0/93//933HPd7vdcrvd4W4DAACg9TFl/MCEHmwU9gA8ePBg7dy5M+S5jz/+WN26dQv3WwEAAEQXAnBEhH0EYtKkSdqwYYMefPBB7d69W8uWLdPTTz+tgoKCcL8VAABAdHH6wjcugjs9F198sV566SU9++yz6tOnj2bPnq25c+dq3Lhx4X4rAACA6OL0hW8xchFc2EcgJOkHP/iBfvCDH9hRGgAAIGqxD3Bk2HIrZAAAAMBUtqwAAwAA4DSYMn9rQg82YgUYAAAAMYUVYAAAAEO4ZMb8bXRfAmdwAO6wtUoJ8eG9Qcb+4Zlhrdfkyy5tbambvtWWsvKu/dyWuh/f39uWukn/sud/VHzri0Rb6iZXNdhS98BfzrKl7s8f+JktdWvurrGlrrWuvS11a9PC/3Pmr/eHvSaAKGfKDgyn0cO6dev08MMPa+vWrdq/f79eeukljR49Ovj6jTfeqCVLloR8TX5+vlasWBF8/MUXX+jOO+/Uq6++qri4OI0ZM0ZPPPGE2rf/+s/+9957TwUFBdq8ebPOOuss3XnnnZoyZUqLemUEAgAAwBRO7/17BvsA19TUqH///po/f/4Jz7niiiu0f//+4PHss8+GvD5u3Djt2LFDxcXFWr58udatW6fbbrst+LrP59Pw4cPVrVs3bd26VQ8//LBmzpypp59+ukW9GrsCDAAAAGf5fL6Qx263W2738f8P/YgRIzRixIiT1nO73fJ6vcd97cMPP9SKFSu0efNmDRw4UJL05JNP6sorr9QjjzyirKwsLV26VPX19frDH/6gxMRE9e7dW6WlpXrsscdCgvKpsAIMAABgCqdXfY9aAc7OzpbH4wkeRUVFZ/TtrVmzRunp6Tr//PN1xx136PPPvx7LLCkpUYcOHYLhV5Ly8vIUFxenjRs3Bs+5/PLLlZj49Rhjfn6+du7cqQMHDjS7D1aAAQAADGHajTDKy8uVmpoafP5Eq7/NccUVV+iaa65RTk6OPvnkE/3iF7/QiBEjVFJSovj4eFVUVCg9PT3kaxISEpSWlqaKigpJUkVFhXJyckLOycjICL7WsWPHZvVCAAYAADCFYfsAp6amhgTgMzF27NjgP/ft21f9+vXTOeecozVr1mjYsGFheY/mYgQCAADAFE6PPZzBRXAtdfbZZ6tz587avXu3JMnr9aqqqirknMbGRn3xxRfBuWGv16vKysqQc5oen2i2+HgIwAAAAIZoGoEw4bDbp59+qs8//1yZmUe2qc3NzdXBgwe1devX+8CuWrVKgUBAgwYNCp6zbt06NTR8veVocXGxzj///GaPP0gEYAAAAITBoUOHVFpaqtLSUklSWVmZSktLtXfvXh06dEj33HOPNmzYoH/84x9auXKlrr76ap177rnKz8+XJPXs2VNXXHGFbr31Vm3atElvvfWWCgsLNXbsWGVlZUmSfvKTnygxMVG33HKLduzYoeeff15PPPGEJk+e3KJemQEGAAAwRSu+EcaWLVs0dOjQ4OOmUDphwgQtWLBA7733npYsWaKDBw8qKytLw4cP1+zZs0MurFu6dKkKCws1bNiw4I0w5s2bF3zd4/HojTfeUEFBgQYMGKDOnTtrxowZLdoCTSIAAwAAmMOwi+BaYsiQIbKsE3/h66+/fsoaaWlpWrZs2UnP6devn/72t7+1uL9vIgADAAAYwrRt0KIVARgAAMAUrXgFuDXhIjgAAADEFFaAAQAATGHICES0rwATgAEAAEzBCEREEIABAABMQQCOCAIwAACAIdgFIjK4CA4AAAAxhQAMAACAmMIIBAAAgCmYAY4IAjAAAIAhmAGODGMDcPlor+LdSWGtmbI3ENZ6TQ6n2zNJklDls6Xuv76bYUvdrPV+W+o2um0pq4Q9VbbUjU9tb0vdjM/t+SD2f89jS92c67fYUjeufTtb6gbOzgp7zUZ/nXaEvSqAqBfl4dMExgZgAACAmMMIREQQgAEAAAzBCERksAsEAAAAYgorwAAAAKZgBCIiCMAAAACGYAQiMgjAAAAApmAFOCLCPgPs9/s1ffp05eTkKDk5Weecc45mz54ty4ryTxIAAOBMWQYdUSzsK8APPfSQFixYoCVLlqh3797asmWLbrrpJnk8Ht11113hfjsAAICowQhEZIQ9AL/99tu6+uqrNXLkSElS9+7d9eyzz2rTpk3hfisAAACgxcI+AnHZZZdp5cqV+vjjjyVJ7777rtavX68RI0Yc9/y6ujr5fL6QAwAAICY5PfbACMTpuffee+Xz+dSjRw/Fx8fL7/frgQce0Lhx4457flFRkX75y1+Guw0AAIDWx5TwaUIPNgr7CvALL7ygpUuXatmyZdq2bZuWLFmiRx55REuWLDnu+dOmTVN1dXXwKC8vD3dLAAAArULTDLAJRzQL+wrwPffco3vvvVdjx46VJPXt21d79uxRUVGRJkyYcMz5brdbbrc73G0AAAC0PqwAR0TYA/Dhw4cVFxe6sBwfH69AIBDutwIAAIgqpqy+mtCDncIegEeNGqUHHnhAXbt2Ve/evfXOO+/oscce08033xzutwIAAABaLOwB+Mknn9T06dP1n//5n6qqqlJWVpZ+9rOfacaMGeF+KwAAgOjCCEREhD0Ap6SkaO7cuZo7d264SwMAAEQ3AnBEhD0AAwAA4PS4/n04zYQe7EQABgAAMAUrwBFBAAYAADAEu0BERthvhAEAAACYzNgV4LQPG5XQpjGsNePuqgxrvSZ1L2bZUrfB67Glbn2qPZM9nd6psaVuZa49n0Plw5m21M1eZs+vVbtte22p+63Fn9pS99O7BtpSt82X9ixLnLXty/AXjfYhOgDhxwhERBgbgAEAAGJSlIdPExCAAQAADMEMcGQQgAEAAEzBCEREEIABAAAMwQpwZLALBAAAAGIKK8AAAACmYAQiIgjAAAAAhmAEIjIIwAAAAKZgBTgiCMAAAACmIABHBBfBAQAAGKJpBMKEo6XWrVunUaNGKSsrSy6XSy+//HLI65ZlacaMGcrMzFRycrLy8vK0a9eukHO++OILjRs3TqmpqerQoYNuueUWHTp0KOSc9957T9/97neVlJSk7OxszZkzp8W9EoABAABwxmpqatS/f3/Nnz//uK/PmTNH8+bN08KFC7Vx40a1a9dO+fn5qq2tDZ4zbtw47dixQ8XFxVq+fLnWrVun2267Lfi6z+fT8OHD1a1bN23dulUPP/ywZs6cqaeffrpFvTICAQAAYArDRiB8Pl/I0263W263+7hfMmLECI0YMeL45SxLc+fO1X333aerr75akvTHP/5RGRkZevnllzV27Fh9+OGHWrFihTZv3qyBAwdKkp588kldeeWVeuSRR5SVlaWlS5eqvr5ef/jDH5SYmKjevXurtLRUjz32WEhQPhVWgAEAAAzhsixjDknKzs6Wx+MJHkVFRaf1fZWVlamiokJ5eXnB5zwejwYNGqSSkhJJUklJiTp06BAMv5KUl5enuLg4bdy4MXjO5ZdfrsTExOA5+fn52rlzpw4cONDsflgBBgAAMIVhK8Dl5eVKTU0NPn2i1d9TqaiokCRlZGSEPJ+RkRF8raKiQunp6SGvJyQkKC0tLeScnJycY2o0vdaxY8dm9UMABgAAMIRp+wCnpqaGBOBowQgEAACAKSyDjjDyer2SpMrKypDnKysrg695vV5VVVWFvN7Y2Kgvvvgi5Jzj1fjmezQHARgAAAC2ysnJkdfr1cqVK4PP+Xw+bdy4Ubm5uZKk3NxcHTx4UFu3bg2es2rVKgUCAQ0aNCh4zrp169TQ0BA8p7i4WOeff36zxx8kAjAAAIAxnN7790z2AT506JBKS0tVWloq6ciFb6Wlpdq7d69cLpcmTpyoX/3qV3rllVe0fft2jR8/XllZWRo9erQkqWfPnrriiit06623atOmTXrrrbdUWFiosWPHKisrS5L0k5/8RImJibrlllu0Y8cOPf/883riiSc0efLkFvXKDDAAAIApDLsIriW2bNmioUOHBh83hdIJEyZo8eLFmjJlimpqanTbbbfp4MGD+s53vqMVK1YoKSkp+DVLly5VYWGhhg0bpri4OI0ZM0bz5s0Lvu7xePTGG2+ooKBAAwYMUOfOnTVjxowWbYEmEYABAACMYdpFcC0xZMgQWdaJv9DlcmnWrFmaNWvWCc9JS0vTsmXLTvo+/fr109/+9reWN/gNBGAAAABTtOIV4NbE2AD8r/4JineHt73AF56w1mvyrU8aTn3SabASXLbU/fJsvy11O+5qa0vdrzJOfc7p8KxPOvVJp8HXzZayKs/LOfVJpyHrb/b8KddmyGe21K3+qJMtdc/abMPnYM+vGoAoZ8IKcLTjIjgAAADEFGNXgAEAAGKOZR05nGZCDzYiAAMAABiiNV8E15oQgAEAAEzBRXARQQAGAAAwhCtw5HCaCT3YiQAMAABgClaAI6LFu0CsW7dOo0aNUlZWllwul15++eWQ1y3L0owZM5SZmank5GTl5eVp165d4eoXAAAAOCMtDsA1NTXq37+/5s+ff9zX58yZo3nz5mnhwoXauHGj2rVrp/z8fNXW1p5xswAAANGs6SI4E45o1uIRiBEjRmjEiBHHfc2yLM2dO1f33Xefrr76aknSH//4R2VkZOjll1/W2LFjz6xbAACAaMY2aBER1hthlJWVqaKiQnl5ecHnPB6PBg0apJKSkuN+TV1dnXw+X8gBAAAQi5xe9Y2VFeCwBuCKigpJUkZG6L1rMzIygq8draioSB6PJ3hkZ2eHsyUAAIDWwzLoiGKO3wp52rRpqq6uDh7l5eVOtwQAAOAIp1d9WQE+DV6vV5JUWVkZ8nxlZWXwtaO53W6lpqaGHAAAAIBdwhqAc3Jy5PV6tXLlyuBzPp9PGzduVG5ubjjfCgAAIPo0XQRnwhHFWrwLxKFDh7R79+7g47KyMpWWliotLU1du3bVxIkT9atf/UrnnXeecnJyNH36dGVlZWn06NHh7BsAACDqmDJ+YEIPdmpxAN6yZYuGDh0afDx58mRJ0oQJE7R48WJNmTJFNTU1uu2223Tw4EF95zvf0YoVK5SUlBS+rgEAAKKRKRegmdCDjVocgIcMGSLrJMviLpdLs2bN0qxZs86oMQAAgFjDCnBktDgAAwAAwCYB68jhNBN6sJHj26ABAAAAkcQKMAAAgCmYAY4IAjAAAIAhXDJj/tbldAM2MzYAJx2Q4hPDWzPzZ3vCW/DfXB6bbt7hsufHL6Wsiy113a9ttKVuzp4ettT96M4UW+qmv2XPr1WHj+z5eajtYE/d9P+2Z8IqPa7alrquw3VhrxnnD39NAFHOlD14TejBRsYGYAAAgFjDLhCRwUVwAAAAiCmsAAMAAJiCi+AiggAMAABgCJdlyWXA/K0JPdiJAAwAAGCKwL8Pp5nQg40IwAAAAIZgBTgyCMAAAACmYAY4ItgFAgAAADGFFWAAAABTcCOMiCAAAwAAGIIbYUQGARgAAMAUrABHBAEYAADAEK7AkcNpJvRgJwIwAACAKVgBjgh2gQAAAEBMYQUYAADAFOwDHBEEYAAAAENwJ7jIIAADAACYghngiCAAAwAAmMKSZMIODNGdfwnAAAAApmAEIjLYBQIAAABnZObMmXK5XCFHjx49gq/X1taqoKBAnTp1Uvv27TVmzBhVVlaG1Ni7d69Gjhyptm3bKj09Xffcc48aGxtt6ZcVYAAAAFNYMmP+9jRa6N27t958883g44SEr2PmpEmT9Nprr+lPf/qTPB6PCgsLdc011+itt96SJPn9fo0cOVJer1dvv/229u/fr/Hjx6tNmzZ68MEHz/jbOZqxAbjdPr8S2vjDWrPqh73CWq+J22fPD2r7vYdtqdvmkD39xnfuZEvdT67raEvdb9++wZa6+36ea0vdLq9/YUvdRk+yLXUv+Z/tttR9bvnlttTNfDv8qwyNDbXS7rCXBRDNDLsIzufzhTztdrvldruP+yUJCQnyer3HPF9dXa3f//73WrZsmb7//e9LkhYtWqSePXtqw4YNuvTSS/XGG2/ogw8+0JtvvqmMjAxdcMEFmj17tqZOnaqZM2cqMTExrN8eIxAAAACmCBh0SMrOzpbH4wkeRUVFJ2x9165dysrK0tlnn61x48Zp7969kqStW7eqoaFBeXl5wXN79Oihrl27qqSkRJJUUlKivn37KiMjI3hOfn6+fD6fduzY0eKP8VSMXQEGAACINaZdBFdeXq7U1NTg8yda/R00aJAWL16s888/X/v379cvf/lLffe739X777+viooKJSYmqkOHDiFfk5GRoYqKCklSRUVFSPhter3ptXAjAAMAAJjCsBGI1NTUkAB8IiNGjAj+c79+/TRo0CB169ZNL7zwgpKT7Rm1OxOMQAAAACCsOnTooG9/+9vavXu3vF6v6uvrdfDgwZBzKisrgzPDXq/3mF0hmh4fb674TBGAAQAATNG0AmzCcQYOHTqkTz75RJmZmRowYIDatGmjlStXBl/fuXOn9u7dq9zcIxeO5+bmavv27aqqqgqeU1xcrNTUVPXqFf5NDBiBAAAAMIVhIxDN9fOf/1yjRo1St27dtG/fPt1///2Kj4/XddddJ4/Ho1tuuUWTJ09WWlqaUlNTdeeddyo3N1eXXnqpJGn48OHq1auXbrjhBs2ZM0cVFRW67777VFBQcMK54zPR4hXgdevWadSoUcrKypLL5dLLL78cfK2hoUFTp05V37591a5dO2VlZWn8+PHat29fOHsGAACITk7v/HDULhDN9emnn+q6667T+eefr2uvvVadOnXShg0bdNZZZ0mSHn/8cf3gBz/QmDFjdPnll8vr9erFF18Mfn18fLyWL1+u+Ph45ebm6vrrr9f48eM1a9asljXSTC1eAa6pqVH//v11880365prrgl57fDhw9q2bZumT5+u/v3768CBA7r77rt11VVXacuWLWFrGgAAIBqZtgtEcz333HMnfT0pKUnz58/X/PnzT3hOt27d9Je//KVF73u6WhyAR4wYEXKl3zd5PB4VFxeHPPfUU0/pkksu0d69e9W1a9fT6xIAACAWtNIRiNbG9hng6upquVyuY/Z+a1JXV6e6urrg46PvOAIAAACEk627QNTW1mrq1Km67rrrTriHXFFRUcgdRrKzs+1sCQAAwFwBy5wjitkWgBsaGnTttdfKsiwtWLDghOdNmzZN1dXVwaO8vNyulgAAAMzm9NZnYdoGzXS2jEA0hd89e/Zo1apVJ72DiNvttmV7CwAAgNbHlPBpQg/2CXsAbgq/u3bt0urVq9WpU6dwvwUAAEB0MmX11YQebNTiAHzo0CHt3r07+LisrEylpaVKS0tTZmamfvjDH2rbtm1avny5/H6/KioqJElpaWlKTEwMX+cAAADRJmDJiNXXKJ8BbnEA3rJli4YOHRp8PHnyZEnShAkTNHPmTL3yyiuSpAsuuCDk61avXq0hQ4acfqcAAABAGLQ4AA8ZMkTWSZbFT/YaAAAATsIKHDmcZkIPNrJ9H2AAAAA0EzPAEUEABgAAMAUzwBFBAAYAADAFK8ARQQAGAAAwhSUzwqcBLdjJ2ABcnxonf2J4b1Tnd7vCWq9Jwld+W+oe/HY7W+rWp9rzOVRe821b6no32PP5ui7oZUvdpM/t+VPjk+s62lLXrs930w19bamb1tuez7e2Y3zYa/rrw18TAHDmjA3AAAAAMYcRiIggAAMAAJgiEJBkwBZkAQN6sBEBGAAAwBSsAEcEARgAAMAUBOCIIAADAACYgn2AIyK82ywAAAAAhmMFGAAAwBCWFZBlOX8Bmgk92IkADAAAYArLMmP8gBlgAAAARIRlyAwwARgAAAAREQhILgPGDxiBAAAAQESwAhwR7AIBAACAmMIKMAAAgCGsQECWASMQ7AIBAACAyGAEIiIIwAAAAKYIWJLLgPBJAAYAAEBEWJYkA8YPCMAAAACIBCtgyTJgBdiK8gDMLhAAAACIKawAAwAAmMIKyIwRCAN6sBEBGAAAwBCMQESGcQG46QP3N9SGvba/jSvsNSWpsaHRlrr++nh76tbZ8znE1dvzy9LY4Lenrr/Olrr++vD/7EpSwJ6yre/zteHPBkmybPgYmnqN9v+QAAifRqvOiNXXRjU43YKtXJZhfzJ/+umnys7OdroNAAib8vJydenSxek2ABistrZWOTk5qqiocLqVIK/Xq7KyMiUlJTndStgZF4ADgYD27dunlJQUuVwnX6n0+XzKzs5WeXm5UlNTI9Th6aNfe9Gvvei35SzL0pdffqmsrCzFxXHNMYCTq62tVX19vdNtBCUmJkZl+JUMHIGIi4tr8UpJampqq/gPchP6tRf92ot+W8bj8Tj23gBal6SkpKgNnKZhSQIAAAAxhQAMAACAmNKqA7Db7db9998vt9vtdCvNQr/2ol970S8AIFoYdxEcAAAAYKdWvQIMAAAAtBQBGAAAADGFAAwAAICYQgAGAABATCEAAwAAIKa06gA8f/58de/eXUlJSRo0aJA2bdrkdEvHVVRUpIsvvlgpKSlKT0/X6NGjtXPnTqfbarZf//rXcrlcmjhxotOtnNA///lPXX/99erUqZOSk5PVt29fbdmyxem2jsvv92v69OnKyclRcnKyzjnnHM2ePVumbMiybt06jRo1SllZWXK5XHr55ZdDXrcsSzNmzFBmZqaSk5OVl5enXbt2OdOsTt5vQ0ODpk6dqr59+6pdu3bKysrS+PHjtW/fPsf6BQA4r9UG4Oeff16TJ0/W/fffr23btql///7Kz89XVVWV060dY+3atSooKNCGDRtUXFyshoYGDR8+XDU1NU63dkqbN2/Wb3/7W/Xr18/pVk7owIEDGjx4sNq0aaO//vWv+uCDD/Too4+qY8eOTrd2XA899JAWLFigp556Sh9++KEeeughzZkzR08++aTTrUmSampq1L9/f82fP/+4r8+ZM0fz5s3TwoULtXHjRrVr1075+fmqra2NcKdHnKzfw4cPa9u2bZo+fbq2bdumF198UTt37tRVV13lQKcAAGNYrdQll1xiFRQUBB/7/X4rKyvLKioqcrCr5qmqqrIkWWvXrnW6lZP68ssvrfPOO88qLi62vve971l333230y0d19SpU63vfOc7TrfRbCNHjrRuvvnmkOeuueYaa9y4cQ51dGKSrJdeein4OBAIWF6v13r44YeDzx08eNByu93Ws88+60CHoY7u93g2bdpkSbL27NkTmaYAAMZplSvA9fX12rp1q/Ly8oLPxcXFKS8vTyUlJQ521jzV1dWSpLS0NIc7ObmCggKNHDky5HM20SuvvKKBAwfqRz/6kdLT03XhhRfqmWeecbqtE7rsssu0cuVKffzxx5Kkd999V+vXr9eIESMc7uzUysrKVFFREfIz4fF4NGjQoFbxuycd+f1zuVzq0KGD060AAByS4HQDp+Ozzz6T3+9XRkZGyPMZGRn66KOPHOqqeQKBgCZOnKjBgwerT58+TrdzQs8995y2bdumzZs3O93KKf3973/XggULNHnyZP3iF7/Q5s2bdddddykxMVETJkxwur1j3HvvvfL5fOrRo4fi4+Pl9/v1wAMPaNy4cU63dkoVFRWSdNzfvabXTFZbW6upU6fquuuuU2pqqtPtAAAc0ioDcGtWUFCg999/X+vXr3e6lRMqLy/X3XffreLiYiUlJTndzikFAgENHDhQDz74oCTpwgsv1Pvvv6+FCxcaGYBfeOEFLV26VMuWLVPv3r1VWlqqiRMnKisry8h+o0VDQ4OuvfZaWZalBQsWON0OAMBBrXIEonPnzoqPj1dlZWXI85WVlfJ6vQ51dWqFhYVavny5Vq9erS5dujjdzglt3bpVVVVVuuiii5SQkKCEhAStXbtW8+bNU0JCgvx+v9MthsjMzFSvXr1CnuvZs6f27t3rUEcnd8899+jee+/V2LFj1bdvX91www2aNGmSioqKnG7tlJp+v1rb715T+N2zZ4+Ki4tZ/QWAGNcqA3BiYqIGDBiglStXBp8LBAJauXKlcnNzHezs+CzLUmFhoV566SWtWrVKOTk5Trd0UsOGDdP27dtVWloaPAYOHKhx48aptLRU8fHxTrcYYvDgwcdsK/fxxx+rW7duDnV0cocPH1ZcXOivXnx8vAKBgEMdNV9OTo68Xm/I757P59PGjRuN/N2Tvg6/u3bt0ptvvqlOnTo53RIAwGGtdgRi8uTJmjBhggYOHKhLLrlEc+fOVU1NjW666SanWztGQUGBli1bpj//+c9KSUkJzkp6PB4lJyc73N2xUlJSjplPbteunTp16mTk3PKkSZN02WWX6cEHH9S1116rTZs26emnn9bTTz/tdGvHNWrUKD3wwAPq2rWrevfurXfeeUePPfaYbr75ZqdbkyQdOnRIu3fvDj4uKytTaWmp0tLS1LVrV02cOFG/+tWvdN555yknJ0fTp09XVlaWRo8ebVy/mZmZ+uEPf6ht27Zp+fLl8vv9wd+/tLQ0JSYmOtIzAMBhTm9DcSaefPJJq2vXrlZiYqJ1ySWXWBs2bHC6peOSdNxj0aJFTrfWbCZvg2ZZlvXqq69affr0sdxut9WjRw/r6aefdrqlE/L5fNbdd99tde3a1UpKSrLOPvts67//+7+turo6p1uzLMuyVq9efdyf1wkTJliWdWQrtOnTp1sZGRmW2+22hg0bZu3cudPIfsvKyk74+7d69WrHegYAOMtlWYbcfgoAAACIgFY5AwwAAACcLgIwAAAAYgoBGAAAADGFAAwAAICYQgAGAABATCEAAwAAIKYQgAEAABBTCMAAAACIKQRgAAAAxBQCMAAAAGIKARgAAAAx5f8B0YZAstwUvuMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# grid as sequence of images, unpadded\n",
    "imshow([x for x in dbg[4].squeeze()]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "8a803ba7-338c-4be0-ad1a-67aa6d66de54",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 16 artists>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# max pool sequence\n",
    "plt.bar(np.arange(CONFIG.class_slots), dbg[5].cpu().detach().squeeze())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "2bb8e371-b841-4a72-bca9-6370d3d94c88",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x1500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for idx, psf in enumerate(convolved):\n",
    "    psf = psf.squeeze().cpu()\n",
    "    grid_to_depth = rearrange(\n",
    "        psf,\n",
    "        \"(m ht) (n wt) -> (m n) ht wt\",\n",
    "        ht = model.tile_size*model.resolution_scale_factor,\n",
    "        wt = model.tile_size*model.resolution_scale_factor,\n",
    "        m = model.tiles_per_dim,\n",
    "        n = model.tiles_per_dim\n",
    "    )\n",
    "    # 5\n",
    "    grid_to_depth = unpad_zeros(\n",
    "        grid_to_depth, \n",
    "        (model.kernel_size_pixels*model.resolution_scale_factor,  \n",
    "         model.kernel_size_pixels*model.resolution_scale_factor))\n",
    "    # 2\n",
    "    grid_to_depth = pad_zeros(\n",
    "        grid_to_depth, \n",
    "        size = (model.tile_size*model.resolution_scale_factor , \n",
    "                model.tile_size*model.resolution_scale_factor ),\n",
    "    )\n",
    "    grid_to_depth = rearrange(\n",
    "        grid_to_depth,\n",
    "        \"(m n) ht wt -> (m ht) (n wt)\",\n",
    "        ht = model.tile_size*model.resolution_scale_factor,\n",
    "        wt = model.tile_size*model.resolution_scale_factor,\n",
    "        m = model.tiles_per_dim,\n",
    "        n = model.tiles_per_dim\n",
    "    )\n",
    "    \n",
    "    f, ax = imshow(grid_to_depth, figsize=(15,15), title=f\"Result of optical convolution with phase plate for image {idx}\")\n",
    "    ax[0].hlines(np.arange(0, grid_to_depth.shape[0], grid_to_depth.shape[0]//model.tiles_per_dim), 0, psf.shape[1]-1)\n",
    "    ax[0].vlines(np.arange(0, grid_to_depth.shape[1], grid_to_depth.shape[1]//model.tiles_per_dim), 0, psf.shape[0]-1)\n",
    "    y,x = (psf==torch.max(grid_to_depth)).nonzero()[0]\n",
    "    ax[0].text(x,y, \"max\", color='white');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "7743069d-2ec2-413b-aaaf-3e68881fc88f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(model.U.cpu());"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "8336f1f6-da6a-432c-ac0c-86a37e70ee5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow([model.x, model.y]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "cee5e6d7-2201-4458-9750-cfec98f6a707",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8NgFgaLI8/AwDkJyY7VHMgNVUE2pwQnrEdQAAAOAjjF3RBQAAGGro0XUWQRcAAMAQtp0hy4CHNdgG1OAEgi4AAIAhYvIoZsDjd02owQnGBl0rK0NWdnr8NgFgaEqXu5YBnDuWbUbbgHX6nWRTirFBFwAAYKixDGldMKEGJ6THVQAAAAAfwYouAACAISx5ZBnQH2tCDU4g6AIAABiCB0Y4i9YFAAAAQ5zs0TVhJKOurk6XXXaZRo4cqXHjxmnu3LlqbW1NOKe7u1vhcFhjxoxRbm6uqqqq1NHR4eS37xTGruhaXo+s7PT4bQLA0MQjgAEky5IhD4xIsnVh165dCofDuuyyy3T8+HF95zvf0axZs/TWW29pxIgRkqQlS5bo2Wef1ZYtWxQIBFRTU6N58+bppZdeGoxLkGRw0AUAABhqbEN6dO0ka9i2bVvC640bN2rcuHFqbm7WFVdcoc7OTq1fv16bNm3SzJkzJUkbNmzQhRdeqKamJs2YMcOx2j+M1gUAAAD0qaurK2FEo9Gz+rrOzk5JUl5eniSpublZvb29qqioiJ9TUlKi4uJiNTY2Ol/4Bwi6AAAAhrBsjzFDkoqKihQIBOKjrq7u46/BsrR48WJ99rOf1SWXXCJJikQi8nq9GjVqVMK5BQUFikQijn8fT6J1AQAAwBCmPTCivb1dfr8/Pu/z+T72a8PhsN544w29+OKLg1bf2TI26FpZHllZ7veoAEB/mXBDCYDU8uHVVLfrkCS/358QdD9OTU2NnnnmGe3evVsTJkyIzweDQfX09Ojw4cMJq7odHR0KBoOO1f1R7v/KAAAAAEl/fWCECSMZtm2rpqZGW7du1fPPP69JkyYlHC8rK1N2drYaGhric62trWpra1MoFHLke9cXY1d0AQAAhhrTVnTPVjgc1qZNm/Tzn/9cI0eOjPfdBgIBDRs2TIFAQNXV1aqtrVVeXp78fr8WLVqkUCg0aDsuSARdAAAADNC6deskSVdeeWXC/IYNG7Rw4UJJ0po1a5SRkaGqqipFo1FVVlbq4YcfHtS6CLoAAACGSNUVXdu2P/acnJwc1dfXq76+vr9lJY2gCwAAYIhUDbqmMjboWllSLNvtKgCg/6yPX+AAgAQEXWcZG3QBAACGGlsy5BHA6YHtxQAAAJCWWNEFAAAwBK0LziLoAgAAGIKg6yxjg66V7ZEnOz2+yQCGpnT5hwLAuUPQdZaxQRcAAGCoIeg6i6ALAABgCNv2yDYgZJpQgxPYdQEAAABpiRVdAAAAQ1jyGLGPrgk1OIGgCwAAYAh6dJ1lbNC1siSPsdUBwMezLLcrAJBq6NF1FlESAADAEKzoOougCwAAYAhWdJ3FrgsAAABIS6zoAgAAGMI2pHUhXVZ0jQ26VrbkyXa7CgDoP8t2uwIAqcaWZBvws8OAEhxhbNAFAAAYaix55DFgD1v20QUAAICjuBnNWQRdAAAAQ1i2Rx4DQqYJfcJOYNcFAAAApKWkgm5dXZ0uu+wyjRw5UuPGjdPcuXPV2tqacE53d7fC4bDGjBmj3NxcVVVVqaOjw9GiAQAA0pFtmzPSQVKtC7t27VI4HNZll12m48eP6zvf+Y5mzZqlt956SyNGjJAkLVmyRM8++6y2bNmiQCCgmpoazZs3Ty+99FJShVlZHnmy02PZHMDQZFn8DAOQHHp0nZVU0N22bVvC640bN2rcuHFqbm7WFVdcoc7OTq1fv16bNm3SzJkzJUkbNmzQhRdeqKamJs2YMcO5ygEAANIMQddZA+rR7ezslCTl5eVJkpqbm9Xb26uKior4OSUlJSouLlZjY2Of7xGNRtXV1ZUwAAAAhiLrgwdGmDCStXv3bs2ZM0eFhYXyeDx6+umnE47btq3ly5dr/PjxGjZsmCoqKvTuu+869J3rW7+DrmVZWrx4sT772c/qkksukSRFIhF5vV6NGjUq4dyCggJFIpE+36eurk6BQCA+ioqK+lsSAABASnO7L3cgPbrHjh3T1KlTVV9f3+fx++67Tw888IAeeeQR7dmzRyNGjFBlZaW6u7sH+F07vX5vLxYOh/XGG2/oxRdfHFABy5YtU21tbfx1V1cXYRcAACDFzJ49W7Nnz+7zmG3buv/++/Xd735X1157rSTpRz/6kQoKCvT000/ry1/+8qDU1K+gW1NTo2eeeUa7d+/WhAkT4vPBYFA9PT06fPhwwqpuR0eHgsFgn+/l8/nk8/lOmbeyJA+7/AJIYVbM7QoApJoTq6nu98eeXNH9aEvp6XLbx9m/f78ikUhCe2sgEFB5ebkaGxsHLegm1bpg27Zqamq0detWPf/885o0aVLC8bKyMmVnZ6uhoSE+19raqra2NoVCIWcqBgAASFMnb0YzYUhSUVFRQotpXV1dv67rZAtrQUFBwvyZ2ludkNSaaTgc1qZNm/Tzn/9cI0eOjBcWCAQ0bNgwBQIBVVdXq7a2Vnl5efL7/Vq0aJFCoRA7LgAAAHwM+4PhtpM1tLe3y+/3x+f7s5rrpqSC7rp16yRJV155ZcL8hg0btHDhQknSmjVrlJGRoaqqKkWjUVVWVurhhx92pFgAAIB0Ztr2Yn6/PyHo9tfJFtaOjg6NHz8+Pt/R0aFp06YN+P1PJ6mga5/FLXg5OTmqr68/7R13AAAAOA3TlnQdMmnSJAWDQTU0NMSDbVdXl/bs2aObbrrJ2Q/7EG73AgAAwIAdPXpU+/bti7/ev3+/WlpalJeXp+LiYi1evFh33323zj//fE2aNEl33HGHCgsLNXfu3EGrydiga2VLnmy3qwCA/rMstysAkHIMaV1QP2p45ZVXdNVVV8Vfn9w+dsGCBdq4caNuvfVWHTt2TDfeeKMOHz6syy+/XNu2bVNOTo5jZX+UsUEXAABgqOnvwxoGo45kXXnllWdsc/V4PLrrrrt01113DaCy5BB0AQAADGHazWipjqALAABgCtvTr7aBQakjDRB0AQAADJHKrQsmMjbo8ghgAKmORwADgLuIkgAAAKZI03103ULQBQAAMAQ3ozmLoAsAAGCSNFlNNQFBFwAAwBCs6DqLoAsAAGAKenQdZWzQtTMl29jqAODj2cfdrgAAhjaiJAAAgDE8Hwy3mVDDwBF0AQAATEHrgqMIugAAAKYg6DqKoAsAAGAK23NiuM2EGhxgbNC1s21Z2Wny6wSAIcmO8TMMQHJs+8Rwmwk1OCHD7QIAAACAwWDsii4AAMCQQ4+uowi6AAAApqBH11EEXQAAAEN47BPDbSbU4ASCLgAAgCloXXCUsUHXypLB1QHAx7P4GQYgWbQuOIpdFwAAAJCWWG8AAAAwBa0LjiLoAgAAmIKg6yiCLgAAgCkIuo4yNujaWbbsrDT5LgMYkvgZBiBpKX4zWn19vVatWqVIJKKpU6fqwQcf1PTp0x0u7uxxMxoAAIAhTu6ja8JI1lNPPaXa2lqtWLFCr776qqZOnarKykodOnTI+W/UWSLoAgAAoE9dXV0JIxqNnvbc1atX6xvf+IZuuOEGXXTRRXrkkUc0fPhwPf744+ew4kQEXQAAAFPYBg1JRUVFCgQC8VFXV9dn2T09PWpublZFRUV8LiMjQxUVFWpsbBz496WfjO3RBQAAgLva29vl9/vjr30+X5/n/elPf1IsFlNBQUHCfEFBgd55551BrfFMCLoAAACG8Kh//bFOO3krmt/vTwi6qcbYoGtlScp2uwoA6D/ruNsVAEg5KbrrwtixY5WZmamOjo6E+Y6ODgWDQScrSwo9ugAAAKZwuy/3Iz26Z8vr9aqsrEwNDQ3xOcuy1NDQoFAolNybOcjYFV0AAACkjtraWi1YsECXXnqppk+frvvvv1/Hjh3TDTfc4FpNBF0AAABTpPCT0a677jr98Y9/1PLlyxWJRDRt2jRt27btlBvUziWCLgAAgCH6+7CGwaijP2pqalRTU+NsMQNgbtDNsk8MAEhV/AwDkKwUXtE1kblBFwAAYKgh6DqKoAsAAGCIVG9dMA3biwEAACAtsaILAABgihR9YISpklrRXbdunUpLS+OPgwuFQnruuefix7u7uxUOhzVmzBjl5uaqqqrqlCdkAAAA4DTcfkhEPx8YYaqkVnQnTJige++9V+eff75s29YTTzyha6+9Vq+99pouvvhiLVmyRM8++6y2bNmiQCCgmpoazZs3Ty+99FLShdlZluwsK+mvAwBT8DMMQLLo0XVWUkF3zpw5Ca/vuecerVu3Tk1NTZowYYLWr1+vTZs2aebMmZKkDRs26MILL1RTU5NmzJjhXNUAAADpyJTVVBNqcEC/b0aLxWLavHmzjh07plAopObmZvX29qqioiJ+TklJiYqLi9XY2Hja94lGo+rq6koYAAAAwEAlHXRff/115ebmyufz6Zvf/Ka2bt2qiy66SJFIRF6vV6NGjUo4v6CgQJFI5LTvV1dXp0AgEB9FRUVJXwQAAEBasP/avuDmGLIrulOmTFFLS4v27Nmjm266SQsWLNBbb73V7wKWLVumzs7O+Ghvb+/3ewEAAKQ0t29AG8o3o0mS1+vVeeedJ0kqKyvT3r17tXbtWl133XXq6enR4cOHE1Z1Ozo6FAwGT/t+Pp9PPp/v1APZ9okBAKnqOD/DACTJlJBpQg0OGPADIyzLUjQaVVlZmbKzs9XQ0BA/1traqra2NoVCoYF+DAAAQNpzu2UhoX0hDSS1orts2TLNnj1bxcXFOnLkiDZt2qQXXnhB27dvVyAQUHV1tWpra5WXlye/369FixYpFAqx4wIAAADOuaSC7qFDh3T99dfr4MGDCgQCKi0t1fbt2/X5z39ekrRmzRplZGSoqqpK0WhUlZWVevjhhwelcAAAAOBMkgq669evP+PxnJwc1dfXq76+fkBFAQAADEn06Doq6ZvRAAAAMDhM6Y81oQYnGBt0PVmWPDw+E0AK42cYgH5Jk5BpAmODLgAAwJBD64KjCLoAAACGoHXBWQPeRxcAAAAwESu6AAAApqB1wVHGBt3MTEsZ3MgBIIV5MvkZBiA5tC44y9igCwAAMOSwousogi4AAIApCLqO4mY0AAAAQ5xsXTBhDJZ77rlHn/nMZzR8+HCNGjWqz3Pa2tp0zTXXaPjw4Ro3bpy+/e1v6/jx40l/Fiu6AAAAOGd6enr0pS99SaFQSOvXrz/leCwW0zXXXKNgMKiXX35ZBw8e1PXXX6/s7Gz967/+a1KfRdAFAAAwhWGtC11dXQnTPp9PPp9vQG995513SpI2btzY5/EdO3borbfe0i9/+UsVFBRo2rRp+t73vqelS5dq5cqV8nq9Z/1ZxgbdzOyYMrNjbpcBAP0W42cYgGQZFnSLiooSplesWKGVK1cO6kc3NjbqU5/6lAoKCuJzlZWVuummm/Tmm2/qb//2b8/6vYwNugAAAEONaduLtbe3y+/3x+cHupp7NiKRSELIlRR/HYlEknovbkYDAAAwhW3QkOT3+xPG6YLubbfdJo/Hc8bxzjvvOPZtOlus6AIAABjCtBXds3XLLbdo4cKFZzxn8uTJZ/VewWBQv/nNbxLmOjo64seSQdAFAADAgOTn5ys/P9+R9wqFQrrnnnt06NAhjRs3TpK0c+dO+f1+XXTRRUm9l7FBNyvLUmYWN3IASF0eHmMOIFmG3Yw2GNra2vTnP/9ZbW1tisViamlpkSSdd955ys3N1axZs3TRRRfpa1/7mu677z5FIhF997vfVTgcTrpH2NigCwAAMOQMgaC7fPlyPfHEE/HXJ3dR+NWvfqUrr7xSmZmZeuaZZ3TTTTcpFAppxIgRWrBgge66666kP4ugCwAAYAjPB8Ntg1nDxo0bT7uH7kkTJ07Uf/3Xfw34swi6AAAAphgCK7rnEkEXAADAEKm664Kp2EcXAAAAacnYFV1v1nFlZmW6XQYA9Fss67jbJQBINbQuOMrYoAsAADAkpUnINAFBFwAAwBD06DqLoAsAAGAKWhccRdAFAAAwBCu6zjI26Pqyjisrm5vRAKSu49yMBgCuMjboAgAADDm0LjiKoAsAAGAIWhecRdAFAAAwBSu6jiLoAgAAmIKg6yiCLgAAgCFoXXCWsUHXmxlTVmbM7TIAoN8y+BkGAK4yNugCAAAMObQuOIqgCwAAYAiPbctju58yTajBCQRdAAAAU7Ci6yiCLgAAgCG4Gc1ZxgbdYVm9ysrKcLsMAOi341m9bpcAINWwousokiQAAADSkrErugAAAEMNrQvOIugCAACYgtYFRxF0AQAADMGKrrMG1KN77733yuPxaPHixfG57u5uhcNhjRkzRrm5uaqqqlJHR8dA6wQAAEh/tkEjDfR7RXfv3r169NFHVVpamjC/ZMkSPfvss9qyZYsCgYBqamo0b948vfTSS0m9/7CsXmVnefpbHgC4rpddFwD0Q7qspvbld7/7nb73ve/p+eefVyQSUWFhof75n/9Zt99+u7xeb/y83/72twqHw9q7d6/y8/O1aNEi3XrrrUl/Xr9WdI8ePar58+frhz/8oUaPHh2f7+zs1Pr167V69WrNnDlTZWVl2rBhg15++WU1NTX156MAAACQJt555x1ZlqVHH31Ub775ptasWaNHHnlE3/nOd+LndHV1adasWZo4caKam5u1atUqrVy5Uo899ljSn9evFd1wOKxrrrlGFRUVuvvuu+Pzzc3N6u3tVUVFRXyupKRExcXFamxs1IwZM055r2g0qmg0Gn/d1dXVn5IAAABSn22fGG77oIaP5jKfzyefz9fvt/3CF76gL3zhC/HXkydPVmtrq9atW6cf/OAHkqQnn3xSPT09evzxx+X1enXxxRerpaVFq1ev1o033pjU5yW9ort582a9+uqrqqurO+VYJBKR1+vVqFGjEuYLCgoUiUT6fL+6ujoFAoH4KCoqSrYkAACAtHDyZjQThiQVFRUl5LS+8t9AdXZ2Ki8vL/66sbFRV1xxRUIrQ2VlpVpbW/X+++8n9d5Jrei2t7fr5ptv1s6dO5WTk5PUB53OsmXLVFtbG3/d1dVF2AUAAEOTKTeCfVBDe3u7/H5/fHogq7l92bdvnx588MH4aq50YuF00qRJCecVFBTEj324bfbjJBV0m5ubdejQIX3605+Oz8ViMe3evVsPPfSQtm/frp6eHh0+fDhhVbejo0PBYLDP9zzdEnhO5nFlZ/LgNgCpKzPzuNslAEgxHuvEcNvJGvx+f0LQPZ3bbrtN3//+9894zttvv62SkpL46z/84Q/6whe+oC996Uv6xje+MaB6TyepoHv11Vfr9ddfT5i74YYbVFJSoqVLl6qoqEjZ2dlqaGhQVVWVJKm1tVVtbW0KhULOVQ0AAJCODFvRPVu33HKLFi5ceMZzJk+eHP/zgQMHdNVVV+kzn/nMKTeZBYPBU7amPfn6dAunp5NU0B05cqQuueSShLkRI0ZozJgx8fnq6mrV1tYqLy9Pfr9fixYtUigU6vNGNAAAAKS+/Px85efnn9W5f/jDH3TVVVfFd+fKyEj8H/xQKKTbb79dvb29ys7OliTt3LlTU6ZMSaptQRrgAyP6smbNGv3DP/yDqqqqdMUVVygYDOpnP/uZ0x8DAACQdty+Ae2jN6M57Q9/+IOuvPJKFRcX6wc/+IH++Mc/KhKJJGxa8NWvflVer1fV1dV688039dRTT2nt2rUJ93SdrQE/AviFF15IeJ2Tk6P6+nrV19cP9K0BAACGFsO2F3Pazp07tW/fPu3bt08TJkz4yEee+MxAIKAdO3YoHA6rrKxMY8eO1fLly5PeWkxyIOgCAADAGYO5mppsHYNh4cKFH9vLK0mlpaX69a9/PeDPMzboDs+MyptlwN80APRTT2aP2yUASDUpejOaqYwNugAAAENNuq/onmtsVAsAAIC0xIouAACAKdL8ZrRzjaALAABgCFoXnGVs0B2R2SNfZpp8lwEMSdHMXrdLAJBquBnNUcYGXQAAgKGGFV1nEXQBAABMYdknhttMqMEB7LoAAACAtMSKLgAAgCno0XUUQRcAAMAQHpnRH+txuwCHGBt0h2X2ypfpdhUA0H8Z7LoAIFnso+soY4MuAADAUMOuC87iZjQAAACkJVZ0AQAATMHNaI4i6AIAABjCY9vyGNAfa0INTjA26OZmdisnM+Z2GQDQb9ncjAYgWdYHw20m1OAAY4MuAADAUMOKrrMIugAAAKagR9dR7LoAAACAtMSKLgAAgCl4YISjCLoAAACG4IERzjI26I7IjGoYuy4ASGGZmcfdLgFAqmFF11HGBl0AAIChxmOdGG4zoQYnEHQBAABMwYquo9h1AQAAAOfMP/7jP6q4uFg5OTkaP368vva1r+nAgQMJ5/z2t7/V5z73OeXk5KioqEj33Xdfvz6LoAsAAGAK26AxSK666ir9+Mc/Vmtrq37605/qvffe0xe/+MX48a6uLs2aNUsTJ05Uc3OzVq1apZUrV+qxxx5L+rOMbV0YkRHVsAxuRgOQujIyuBkNQHJMezJaV1dXwrzP55PP5xvQey9ZsiT+54kTJ+q2227T3Llz1dvbq+zsbD355JPq6enR448/Lq/Xq4svvlgtLS1avXq1brzxxqQ+ixVdAAAAU5zs0TVhSCoqKlIgEIiPuro6Ry/3z3/+s5588kl95jOfUXZ2tiSpsbFRV1xxhbxeb/y8yspKtba26v3330/q/Y1d0QUAABhybEkm7HjwwaJye3u7/H5/fHqgq7knLV26VA899JD+7//+TzNmzNAzzzwTPxaJRDRp0qSE8wsKCuLHRo8efdafw4ouAACAIU62LpgwJMnv9yeM0wXd2267TR6P54zjnXfeiZ//7W9/W6+99pp27NihzMxMXX/99bIHoWWDFV0AAAAMyC233KKFCxee8ZzJkyfH/zx27FiNHTtWF1xwgS688EIVFRWpqalJoVBIwWBQHR0dCV978nUwGEyqLoIuAACAKWyZsYdtkiXk5+crPz+/Xx9lWSd6NaLRqCQpFArp9ttvj9+cJkk7d+7UlClTkmpbkAwOurmeqIZzxzKAFJbpYecYAElK8wdG7NmzR3v37tXll1+u0aNH67333tMdd9yhT37ykwqFQpKkr371q7rzzjtVXV2tpUuX6o033tDatWu1Zs2apD+PHl0AAABTWAaNQTB8+HD97Gc/09VXX60pU6aourpapaWl2rVrV7z/NxAIaMeOHdq/f7/Kysp0yy23aPny5UlvLSYZvKILAAAw1Ji2j67TPvWpT+n555//2PNKS0v161//esCfR9AFAAAwRZq3LpxrtC4AAAAgLRm7opub8ReNyMh0uwwA6LcMHmMOIFms6DrK2KALAAAw5BB0HUXQBQAAMIUlyeN2ETLjMcQOIOgCAAAYIt13XTjXCLoAAACmoHXBUUnturBy5Up5PJ6EUVJSEj/e3d2tcDisMWPGKDc3V1VVVac8qxgAAAA4F5Je0b344ov1y1/+8q9vkPXXt1iyZImeffZZbdmyRYFAQDU1NZo3b55eeumlpAsbkdGjERnsfgYghWWkSZMbgHPHsiWPAauplgE1OCDpoJuVlaVgMHjKfGdnp9avX69NmzZp5syZkqQNGzbowgsvVFNTk2bMmDHwagEAANIZrQuOSnrJ9N1331VhYaEmT56s+fPnq62tTZLU3Nys3t5eVVRUxM8tKSlRcXGxGhsbT/t+0WhUXV1dCQMAAGBosv8adt0cGoJBt7y8XBs3btS2bdu0bt067d+/X5/73Od05MgRRSIReb1ejRo1KuFrCgoKFIlETvuedXV1CgQC8VFUVNSvCwEAAEh5bgfchLCb+pJqXZg9e3b8z6WlpSovL9fEiRP14x//WMOGDetXAcuWLVNtbW38dVdXF2EXAAAMTZYhq6lDtUf3w0aNGqULLrhA+/bt0+c//3n19PTo8OHDCau6HR0dffb0nuTz+eTz+U6Zz83oUS43owFIYR5uRgMAVw0oSR49elTvvfeexo8fr7KyMmVnZ6uhoSF+vLW1VW1tbQqFQgMuFAAAIO3ZljkjDSS1ovutb31Lc+bM0cSJE3XgwAGtWLFCmZmZ+spXvqJAIKDq6mrV1tYqLy9Pfr9fixYtUigUYscFAACAs2FKf6wJNTggqaD7+9//Xl/5ylf0v//7v8rPz9fll1+upqYm5efnS5LWrFmjjIwMVVVVKRqNqrKyUg8//PCgFA4AAJB26NF1VFJBd/PmzWc8npOTo/r6etXX1w+oKAAAgCGJFV1HDehmNAAAADjIlhkh04ASnGBs0M31HNdID7suAEhhnvS4mQMAUpWxQRcAAGDIoXXBUQRdAAAAU1iWJAP+N8gyoAYHEHQBAABMwYquowi6AAAApiDoOsrYoDsiw6MRGR63ywCAfrP4GQYgWUNoH91oNKry8nL993//t1577TVNmzYtfuy3v/2twuGw9u7dq/z8fC1atEi33npr0p/BtgYAAAA452699VYVFhaeMt/V1aVZs2Zp4sSJam5u1qpVq7Ry5Uo99thjSX+GsSu6AAAAQ41tW7Jt928EG+wannvuOe3YsUM//elP9dxzzyUce/LJJ9XT06PHH39cXq9XF198sVpaWrR69WrdeOONSX0OK7oAAACmsO0TbQNujw96dLu6uhJGNBod8CV2dHToG9/4hv793/9dw4cPP+V4Y2OjrrjiCnm93vhcZWWlWltb9f777yf1WQRdAAAAU5y8Gc2EIamoqEiBQCA+6urqBnh5thYuXKhvfvObuvTSS/s8JxKJqKCgIGHu5OtIJJLU59G6AAAAYArLMuOpih+0LrS3t8vv98enfT5fn6ffdttt+v73v3/Gt3z77be1Y8cOHTlyRMuWLXOu1jMwNuiO8GQrl0cAA0hhlgn/WAFILbYhuy58sKLr9/sTgu7p3HLLLVq4cOEZz5k8ebKef/55NTY2nhKYL730Us2fP19PPPGEgsGgOjo6Eo6ffB0MBpO4CIODLgAAAFJDfn6+8vPzP/a8Bx54QHfffXf89YEDB1RZWamnnnpK5eXlkqRQKKTbb79dvb29ys7OliTt3LlTU6ZM0ejRo5Oqi6ALAABgCNuyZBvwv0GDtetCcXFxwuvc3FxJ0ic/+UlNmDBBkvTVr35Vd955p6qrq7V06VK98cYbWrt2rdasWZP05xF0AQAATGFY64IbAoGAduzYoXA4rLKyMo0dO1bLly9PemsxiaALAABgDsuWPEMn6H7iE5+Q3cdnlZaW6te//vWA39/YoDs8w6vhGdyMBiB1Hc9w/78fAaQY25ZkwM8OF1d0nWRs0AUAABhqbMuWbcCKbl+rrKmIJVMAAACkJVZ0AQAATGFbMqN1wYAaHEDQBQAAMAStC84yLuie/MZ2HU2P3yQADF0nf46lyz8YAAbfcTtqxGrqcfW6XYIjjAu6R44ckSRN/PTv3C0EABxy5MgRBQIBt8sAYDCv16tgMKgXI//ldilxwWBQXq/X7TIGxGMbttRgWZYOHDigkSNH6siRIyoqKlJ7e/tZPWc5lXR1dXFtKYhrS01uXZtt2zpy5IgKCwuVwXaJAD5Gd3e3enp63C4jzuv1Kicnx+0yBsS4Fd2MjIz4I+A8Ho8kye/3p90/vCdxbamJa0tNblwbK7kAzlZOTk7KB0vTsMQAAACAtETQBQAAQFoyOuj6fD6tWLFCPp/P7VIcx7WlJq4tNaXztQEATs+4m9EAAAAAJxi9ogsAAAD0F0EXAAAAaYmgCwAAgLRE0AUAAEBaIugCAAAgLRkddOvr6/WJT3xCOTk5Ki8v129+8xu3S0ra7t27NWfOHBUWFsrj8ejpp59OOG7btpYvX67x48dr2LBhqqio0LvvvutOsUmoq6vTZZddppEjR2rcuHGaO3euWltbE87p7u5WOBzWmDFjlJubq6qqKnV0dLhU8dlbt26dSktL40/RCoVCeu655+LHU/W6+nLvvffK4/Fo8eLF8blUvb6VK1fK4/EkjJKSkvjxVL0uAED/GRt0n3rqKdXW1mrFihV69dVXNXXqVFVWVurQoUNul5aUY8eOaerUqaqvr+/z+H333acHHnhAjzzyiPbs2aMRI0aosrJS3d3d57jS5OzatUvhcFhNTU3auXOnent7NWvWLB07dix+zpIlS/SLX/xCW7Zs0a5du3TgwAHNmzfPxarPzoQJE3TvvfequblZr7zyimbOnKlrr71Wb775pqTUva6P2rt3rx599FGVlpYmzKfy9V188cU6ePBgfLz44ovxY6l8XQCAfrINNX36dDscDsdfx2Ixu7Cw0K6rq3OxqoGRZG/dujX+2rIsOxgM2qtWrYrPHT582Pb5fPZ//ud/ulBh/x06dMiWZO/atcu27RPXkZ2dbW/ZsiV+zttvv21LshsbG90qs99Gjx5t/9u//VvaXNeRI0fs888/3965c6f9d3/3d/bNN99s23Zq/72tWLHCnjp1ap/HUvm6AAD9Z+SKbk9Pj5qbm1VRURGfy8jIUEVFhRobG12szFn79+9XJBJJuM5AIKDy8vKUu87Ozk5JUl5eniSpublZvb29CddWUlKi4uLilLq2WCymzZs369ixYwqFQmlzXeFwWNdcc03CdUip//f27rvvqrCwUJMnT9b8+fPV1tYmKfWvCwDQP1luF9CXP/3pT4rFYiooKEiYLygo0DvvvONSVc6LRCKS1Od1njyWCizL0uLFi/XZz35Wl1xyiaQT1+b1ejVq1KiEc1Pl2l5//XWFQiF1d3crNzdXW7du1UUXXaSWlpaUvi5J2rx5s1599VXt3bv3lGOp/PdWXl6ujRs3asqUKTp48KDuvPNOfe5zn9Mbb7yR0tcFAOg/I4MuUks4HNYbb7yR0A+Z6qZMmaKWlhZ1dnbqJz/5iRYsWKBdu3a5XdaAtbe36+abb9bOnTuVk5PjdjmOmj17dvzPpaWlKi8v18SJE/XjH/9Yw4YNc7EyAIBbjGxdGDt2rDIzM0+5I7qjo0PBYNClqpx38lpS+Tpramr0zDPP6Fe/+pUmTJgQnw8Gg+rp6dHhw4cTzk+Va/N6vTrvvPNUVlamuro6TZ06VWvXrk3562pubtahQ4f06U9/WllZWcrKytKuXbv0wAMPKCsrSwUFBSl9fR82atQoXXDBBdq3b1/K/70BAPrHyKDr9XpVVlamhoaG+JxlWWpoaFAoFHKxMmdNmjRJwWAw4Tq7urq0Z88e46/Ttm3V1NRo69atev755zVp0qSE42VlZcrOzk64ttbWVrW1tRl/bX2xLEvRaDTlr+vqq6/W66+/rpaWlvi49NJLNX/+/PifU/n6Puzo0aN67733NH78+JT/ewMA9I+xrQu1tbVasGCBLr30Uk2fPl3333+/jh07phtuuMHt0pJy9OhR7du3L/56//79amlpUV5enoqLi7V48WLdfffdOv/88zVp0iTdcccdKiws1Ny5c90r+iyEw2Ft2rRJP//5zzVy5Mh4n2MgENCwYcMUCARUXV2t2tpa5eXlye/3a9GiRQqFQpoxY4bL1Z/ZsmXLNHv2bBUXF+vIkSPatGmTXnjhBW3fvj2lr0uSRo4cGe+jPmnEiBEaM2ZMfD5Vr+9b3/qW5syZo4kTJ+rAgQNasWKFMjMz9ZWvfCXl/94AAP3k9rYPZ/Lggw/axcXFttfrtadPn243NTW5XVLSfvWrX9mSThkLFiywbfvEFmN33HGHXVBQYPt8Pvvqq6+2W1tb3S36LPR1TZLsDRs2xM/5y1/+Yv/Lv/yLPXr0aHv48OH2P/3TP9kHDx50r+iz9PWvf92eOHGi7fV67fz8fPvqq6+2d+zYET+eqtd1Oh/eXsy2U/f6rrvuOnv8+PG21+u1/+Zv/sa+7rrr7H379sWPp+p1AQD6z2Pbtu1SxgYAAAAGjZE9ugAAAMBAEXQBAACQlgi6AAAASEsEXQAAAKQlgi4AAADSEkEXAAAAaYmgCwAAgLRE0AUAAEBaIugCAAAgLRF0AQAAkJYIugAAAEhL/x+uIgFOtfnGuwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow([model.Kx, model.Ky]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "167e777f-627d-48ca-8023-6f4eeed78d87",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x2000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(model.vv, figsize=(20,20));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9e305082-be6e-4331-866c-70bb4981c28d",
   "metadata": {},
   "outputs": [],
   "source": [
    "time.sleep(121)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "4c6a3586-20ec-4c5e-8719-5525f052f5c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "Path(CONFIG.experiment_dir / f\"{CONFIG.name_id}.ipynb\").write_bytes(Path(\"Propagator_QuickDraw.ipynb\").read_bytes());"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "62f07333-6211-48a9-9f57-37462c87084b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}