895 lines (894 with data), 539.0 kB
{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"id": "U8_09H0pzhFZ"
},
"outputs": [],
"source": [
"# For tips on running notebooks in Google Colab, see\n",
"# https://pytorch.org/tutorials/beginner/colab\n",
"%matplotlib inline\n",
"\n",
"# from google.colab import drive\n",
"# drive.mount('/content/drive')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 0
},
"id": "82ypZxUgzhFd",
"outputId": "8bf8145a-e03f-4bb8-ee41-7ce32605f8be"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<contextlib.ExitStack at 0x7e8e0c1a7eb0>"
]
},
"metadata": {},
"execution_count": 3
}
],
"source": [
"# License: BSD\n",
"# Author: Sasank Chilamkurthy\n",
"\n",
"import torch\n",
"import torch.nn as nn\n",
"import torch.optim as optim\n",
"from torch.optim import lr_scheduler\n",
"import torch.backends.cudnn as cudnn\n",
"import numpy as np\n",
"import torchvision\n",
"from torchvision import datasets, models, transforms\n",
"import matplotlib.pyplot as plt\n",
"import time\n",
"import os\n",
"from PIL import Image\n",
"from tempfile import TemporaryDirectory\n",
"\n",
"cudnn.benchmark = True\n",
"plt.ion() # interactive mode"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ko98w4r7zhFe"
},
"source": [
"## Load Data\n",
"\n",
"We will use torchvision and torch.utils.data packages for loading the\n",
"data.\n",
"\n",
"The problem we're going to solve today is to train a model to classify\n",
"**ants** and **bees**. We have about 120 training images each for ants and bees.\n",
"There are 75 validation images for each class. Usually, this is a very\n",
"small dataset to generalize upon, if trained from scratch. Since we\n",
"are using transfer learning, we should be able to generalize reasonably\n",
"well.\n",
"\n",
"This dataset is a very small subset of imagenet.\n",
"\n",
".. Note ::\n",
" Download the data from\n",
" [here](https://download.pytorch.org/tutorial/hymenoptera_data.zip)\n",
" and extract it to the current directory.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"id": "LWDOibNFzhFe"
},
"outputs": [],
"source": [
"# Data augmentation and normalization for training\n",
"# Just normalization for validation\n",
"data_transforms = {\n",
" 'train': transforms.Compose([\n",
" transforms.RandomResizedCrop(224),\n",
" transforms.RandomHorizontalFlip(),\n",
" transforms.ToTensor(),\n",
" transforms.Normalize([0.485, 0.456, 0.406], [0.229, 0.224, 0.225])\n",
" ]),\n",
" 'val': transforms.Compose([\n",
" transforms.Resize(256),\n",
" transforms.CenterCrop(224),\n",
" transforms.ToTensor(),\n",
" transforms.Normalize([0.485, 0.456, 0.406], [0.229, 0.224, 0.225])\n",
" ]),\n",
"}\n",
"\n",
"data_dir = '/content/drive/MyDrive/Colab Notebooks/data/44 Class 4478 Brain Tumor Images Split 0.627 Shuffle Rename'\n",
"image_datasets = {x: datasets.ImageFolder(os.path.join(data_dir, x),\n",
" data_transforms[x])\n",
" for x in ['train', 'val']}\n",
"dataloaders = {x: torch.utils.data.DataLoader(image_datasets[x], batch_size=17,\n",
" shuffle=True, num_workers=4)\n",
" for x in ['train', 'val']}\n",
"dataset_sizes = {x: len(image_datasets[x]) for x in ['train', 'val']}\n",
"class_names = image_datasets['train'].classes\n",
"\n",
"device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "162cgfnXzhFf"
},
"source": [
"### Visualize a few images\n",
"Let's visualize a few training images so as to understand the data\n",
"augmentations.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 120
},
"id": "uGGqqCoEzhFf",
"outputId": "6f5f6611-c535-4d3e-c0e6-38edfd96632f"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
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\n"
},
"metadata": {}
}
],
"source": [
"def imshow(inp, title=None):\n",
" \"\"\"Display image for Tensor.\"\"\"\n",
" inp = inp.numpy().transpose((1, 2, 0))\n",
" mean = np.array([0.485, 0.456, 0.406])\n",
" std = np.array([0.229, 0.224, 0.225])\n",
" inp = std * inp + mean\n",
" inp = np.clip(inp, 0, 1)\n",
" plt.imshow(inp)\n",
" if title is not None:\n",
" plt.title(title)\n",
" plt.pause(0.001) # pause a bit so that plots are updated\n",
"\n",
"\n",
"# Get a batch of training data\n",
"inputs, classes = next(iter(dataloaders['train']))\n",
"\n",
"# Make a grid from batch\n",
"out = torchvision.utils.make_grid(inputs)\n",
"\n",
"imshow(out, title=[class_names[x] for x in classes])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "EtqiyYuNzhFf"
},
"source": [
"## Training the model\n",
"\n",
"Now, let's write a general function to train a model. Here, we will\n",
"illustrate:\n",
"\n",
"- Scheduling the learning rate\n",
"- Saving the best model\n",
"\n",
"In the following, parameter ``scheduler`` is an LR scheduler object from\n",
"``torch.optim.lr_scheduler``.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"id": "9ORJI2wpzhFg"
},
"outputs": [],
"source": [
"def train_model(model, criterion, optimizer, scheduler, num_epochs=10):\n",
" since = time.time()\n",
"\n",
" # Create a temporary directory to save training checkpoints\n",
" with TemporaryDirectory() as tempdir:\n",
" best_model_params_path = os.path.join(tempdir, 'best_model_params.pt')\n",
"\n",
" torch.save(model.state_dict(), best_model_params_path)\n",
" best_acc = 0.0\n",
"\n",
" for epoch in range(num_epochs):\n",
" print(f'Epoch {epoch}/{num_epochs - 1}')\n",
" print('-' * 10)\n",
"\n",
" # Each epoch has a training and validation phase\n",
" for phase in ['train', 'val']:\n",
" if phase == 'train':\n",
" model.train() # Set model to training mode\n",
" else:\n",
" model.eval() # Set model to evaluate mode\n",
"\n",
" running_loss = 0.0\n",
" running_corrects = 0\n",
"\n",
" # Iterate over data.\n",
" for inputs, labels in dataloaders[phase]:\n",
" inputs = inputs.to(device)\n",
" labels = labels.to(device)\n",
"\n",
" # zero the parameter gradients\n",
" optimizer.zero_grad()\n",
"\n",
" # forward\n",
" # track history if only in train\n",
" with torch.set_grad_enabled(phase == 'train'):\n",
" outputs = model(inputs)\n",
" _, preds = torch.max(outputs, 1)\n",
" loss = criterion(outputs, labels)\n",
"\n",
" # backward + optimize only if in training phase\n",
" if phase == 'train':\n",
" loss.backward()\n",
" optimizer.step()\n",
"\n",
" # statistics\n",
" running_loss += loss.item() * inputs.size(0)\n",
" running_corrects += torch.sum(preds == labels.data)\n",
" if phase == 'train':\n",
" scheduler.step()\n",
"\n",
" epoch_loss = running_loss / dataset_sizes[phase]\n",
" epoch_acc = running_corrects.double() / dataset_sizes[phase]\n",
"\n",
" print(f'{phase} Loss: {epoch_loss:.4f} Acc: {epoch_acc:.4f}')\n",
"\n",
" # deep copy the model\n",
" if phase == 'val' and epoch_acc > best_acc:\n",
" best_acc = epoch_acc\n",
" torch.save(model.state_dict(), best_model_params_path)\n",
"\n",
" print()\n",
"\n",
" time_elapsed = time.time() - since\n",
" print(f'Training complete in {time_elapsed // 60:.0f}m {time_elapsed % 60:.0f}s')\n",
" print(f'Best val Acc: {best_acc:4f}')\n",
"\n",
" # load best model weights\n",
" model.load_state_dict(torch.load(best_model_params_path))\n",
" return model"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6YCmfkSizhFg"
},
"source": [
"### Visualizing the model predictions\n",
"\n",
"Generic function to display predictions for a few images\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"id": "JtYakW-kzhFg"
},
"outputs": [],
"source": [
"def visualize_model(model, num_images=6):\n",
" was_training = model.training\n",
" model.eval()\n",
" images_so_far = 0\n",
" fig = plt.figure()\n",
"\n",
" with torch.no_grad():\n",
" for i, (inputs, labels) in enumerate(dataloaders['val']):\n",
" inputs = inputs.to(device)\n",
" labels = labels.to(device)\n",
"\n",
" outputs = model(inputs)\n",
" _, preds = torch.max(outputs, 1)\n",
"\n",
" for j in range(inputs.size()[0]):\n",
" images_so_far += 1\n",
" ax = plt.subplot(num_images//2, 2, images_so_far)\n",
" ax.axis('off')\n",
" ax.set_title(f'predicted: {class_names[preds[j]]}')\n",
" imshow(inputs.cpu().data[j])\n",
"\n",
" if images_so_far == num_images:\n",
" model.train(mode=was_training)\n",
" return\n",
" model.train(mode=was_training)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "b9bKXGG7zhFh"
},
"source": [
"## Finetuning the ConvNet\n",
"\n",
"Load a pretrained model and reset final fully connected layer.\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 0
},
"id": "QqkwG_MmzhFh",
"outputId": "20f7c033-101f-4b0d-b16d-3119fa636186"
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"Downloading: \"https://download.pytorch.org/models/resnet50-0676ba61.pth\" to /root/.cache/torch/hub/checkpoints/resnet50-0676ba61.pth\n",
"100%|██████████| 97.8M/97.8M [00:01<00:00, 88.6MB/s]\n"
]
}
],
"source": [
"model_ft = models.resnet50(weights='IMAGENET1K_V1')\n",
"num_ftrs = model_ft.fc.in_features\n",
"# Here the size of each output sample is set to 2.\n",
"# Alternatively, it can be generalized to ``nn.Linear(num_ftrs, len(class_names))``.\n",
"model_ft.fc = nn.Linear(num_ftrs, 44)\n",
"\n",
"model_ft = model_ft.to(device)\n",
"\n",
"criterion = nn.CrossEntropyLoss()\n",
"\n",
"# Observe that all parameters are being optimized\n",
"optimizer_ft = optim.SGD(model_ft.parameters(), lr=0.001, momentum=0.9)\n",
"\n",
"# Decay LR by a factor of 0.1 every 7 epochs\n",
"exp_lr_scheduler = lr_scheduler.StepLR(optimizer_ft, step_size=7, gamma=0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "IJBze7TnzhFh"
},
"source": [
"### Train and evaluate\n",
"\n",
"It should take around 15-25 min on CPU. On GPU though, it takes less than a\n",
"minute.\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 0
},
"id": "ycl4sxdzzhFh",
"outputId": "564e335e-9dc2-4161-b465-ed50b083feb4"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Epoch 0/9\n",
"----------\n",
"train Loss: 2.9661 Acc: 0.2451\n",
"val Loss: 2.0319 Acc: 0.4524\n",
"\n",
"Epoch 1/9\n",
"----------\n",
"train Loss: 1.9384 Acc: 0.4809\n",
"val Loss: 1.4320 Acc: 0.6074\n",
"\n",
"Epoch 2/9\n",
"----------\n",
"train Loss: 1.5365 Acc: 0.5739\n",
"val Loss: 1.1647 Acc: 0.6535\n",
"\n",
"Epoch 3/9\n",
"----------\n",
"train Loss: 1.2784 Acc: 0.6405\n",
"val Loss: 0.9273 Acc: 0.7235\n",
"\n",
"Epoch 4/9\n",
"----------\n",
"train Loss: 1.1084 Acc: 0.6897\n",
"val Loss: 0.8260 Acc: 0.7534\n",
"\n",
"Epoch 5/9\n",
"----------\n",
"train Loss: 0.9640 Acc: 0.7332\n",
"val Loss: 0.6919 Acc: 0.7965\n",
"\n",
"Epoch 6/9\n",
"----------\n",
"train Loss: 0.8380 Acc: 0.7617\n",
"val Loss: 0.6219 Acc: 0.8235\n",
"\n",
"Epoch 7/9\n",
"----------\n",
"train Loss: 0.6971 Acc: 0.8069\n",
"val Loss: 0.5383 Acc: 0.8504\n",
"\n",
"Epoch 8/9\n",
"----------\n",
"train Loss: 0.6600 Acc: 0.8208\n",
"val Loss: 0.5156 Acc: 0.8588\n",
"\n",
"Epoch 9/9\n",
"----------\n",
"train Loss: 0.6218 Acc: 0.8418\n",
"val Loss: 0.5008 Acc: 0.8606\n",
"\n",
"Training complete in 9m 4s\n",
"Best val Acc: 0.860563\n"
]
}
],
"source": [
"model_ft = train_model(model_ft, criterion, optimizer_ft, exp_lr_scheduler,\n",
" num_epochs=10)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 923
},
"id": "c80qeSpIzhFi",
"outputId": "544a5db1-c6e0-4a0c-dda2-fb9d96df0503"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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/LziifhfR6XRQqVQMS6N2N5J2u83MFmq1GiqVCs1mE+12G0ajEUeOHMHFF1+MfD6PWq0GlUqFRqPBx9D/W60WY5S1Wi00Gg10Oh0cDgccDgf0ej0ajQbfR6FQQCaTQSKRQDqdhtVqxeTkJMrlMubm5rCysoJ2u40DBw7AbrejWCyi3W7j8OHDOH78OPR6PTQaDVKpFE6cOIFqtYrx8XEcOXIEer0eKysrSCQSaDQa0Ov1UKvVsFgsMJvNMBqN0Gq10Gq1aDab/LnonO12GxqNBhqNBgaDARaLBYFAAMFgEFqtFmtrazhx4gR8Ph+OHj0KlUqFn//85/jBD36AaDTKz1StVm+BAxKGW/ybAJ3w03q9/oKshQtFul5pRSHlJOWSZZmVmBaTqLAXX3wxDh48iGQyiVarBYPBwAuSFnutVmP8LJ230WhAp9NBp9Oh1WqhUqnwtWRZRqPRQDqdxtraGnK5HAqFAlQqFTQaDex2O+x2O1qtFvR6PVqtFtrtNsxmMwqFAnK5HIDNzYZ+Z7PZcOjQIfj9fpw5cwYLCwusjNQjWqvVUCqVYDabYTabYTKZ+J6q1SoreLVaZcU1Go1oNptIJpNYW1vD6OgoRkZGYLPZ8PDDD+PEiRM4dOgQXvWqV0GWZXz/+99HLBZjJdxOOUW2ROpYEv8u3S5dr7TiAhEXxHYWoN1uo91uQ6/XY+/evTh8+DAymQz0ej1MJhNarRaq1SpkWUa73WYLW6/XeZHT70wmE9rtNur1OvR6PZ+33W6jXC6j1Wqh2Wwil8uxFc1msxgZGYHFYkG9XmdLqFKpIEkSSqUSIpEIms0mJEmCwWBALpeDRqNBX18f+vr6EIvFMDMzg7W1NRiNRtjtdmg0GlitVhgMBuh0OlgsFuj1ev653W6jUqnwZyIlrtfrfIxarcbi4iLOnTuHYDCIiy++GMeOHcPDDz+MpaUl7Ny5E695zWtQr9fx/e9/H+l0Gq1WixsDlIqrVGpSWKUn1I3S9UoLbCroU1W/yL3VaDSYmJjApZdeilqthv7+fkiShGKxyK6wWq1Gs9lEpVJBq9VCo9HgDaFer7NVNhqNsNlsMBqNMBgMvID1ej3sdjuq1SqazSaMRiNKpRIqlQoajQZWVlbQarUgSRJqtRrq9Tq7tfF4HB6PBx6PB8ViEZVKBcViEalUCtVqFaVSCQaDATt27EA0GoVGo4HJZGJrLEkSby5arRYGgwEGgwFutxuFQgGFQoHd4lKpBKPRiEqlAq1WC51O1+G+X3bZZdi3bx9mZmbgcDgQCoVw3XXXIZvN4qc//SnK5TLa7fa2ing+t/ml1Cv8+5Ke0goiusfiTg9supuhUAhHjx6FTqfDwMAAvF4vVlZWoNPpUKlUAGy6maRkosvXbreh1WphsVjYopF1o+tR7Nxut2G322E0GjE3NwedTodCoYBoNIr+/n5MTk4iGo1iaWkJAwMD8Hg8yOfz8Hq9aLVaKBaLyOfzqNfrWFlZwcMPP4zJyUns3r0bwWAQs7OzWF5ehk6nQ71eZ4W0Wq3Q6XTQarXslpNnQFZWp9PxRkOWVpZlVvJcLof/+Z//wdGjR9HX14eTJ0/CYrHA4XDgla98JVZXV3HixAneDJUiPv+nyjl0o/SeADYXBjU2i7GTuGBsNhuOHTsGh8MBr9eL/v5+rK+vc1LGarXC6XR2uNJ0LoqFTSYTWzSz2cwL2WazsYW02+3wer2w2+0IhUIYHh7G7t27Ybfbsbq6imq1isnJSUxMTGBychKZTAZzc3OwWq3MYJFKpdBoNBAKhbB79244HA5MT08jGo3CbDaj3W7D6/XCYDCgXq9DpVJxjF0ul9l6u1wuGAwGyLIMs9kMu90Om80Gm80Gs9nMSTXafHw+H3bs2IHh4WEYDAY88sgjaLVaMJvNeOKJJ9BsNjE4OIirr74afr8fwNa4dbsvkh4WqKe0HQknijeBTcWl13Q6HS655BKMjIywxU0mk7yItVots1643W44HA6YTKaOL7PZDKvVykoqSRIcDgcvfr1eD0mSYDQa2bKLi1Sj0SAej0OSJLjdbsiyDIfDgYGBASwsLKDVakGr1WJxcRGxWAwajQb9/f2YmJjAgQMHoNVqMTs7i0qlgkwmg0KhgEajwTG32WyGLMsol8scj9N1gQ2uKrvdDkmSoFar+fVGo4Fqtcobnc1mw65duzA2NoZ2u42TJ0/C6/WiXC7j3LlzMBgM2L9/Pw4fPgyj0djxt1B+KZW0p7Q997gjuSHGS7QAaeGOjo7i0ksvRbVahc/ngyzLMBqNMJlMnHEl19dqtbIiU8xZr9eh0Whgs9mYtoVcULp2q9Xi6zUaDSQSCZw8eZKts9PpRLVahd1uR6PRQDweh8FggN/vx/LyMrLZLMeaKpUKdrsd/f39KBaL0Ol0mJiYwOnTp5FOp+FwOJBIJPgzm0wm6PV6ZLPZDoWhDLNSkTQaDbRaLcfJjUaDSdN1Oh36+vpgMBhQKBSwuLiItbU1DA4OYnl5GX19fXC5XHj5y1+O2dlZzMzMsEVVq9UdlrcnW6XrlfZ8CQ9RbDYbXv7yl0OSJFQqFc7UFgoFeDwemEwmaDQa1Go1WCwWqFQqTh5Vq1VUKhVUq1UYjUY+nrK+ADh2pPIPKXqxWORs8N69e1EulyHLMiwWC1tCKvFoNBoUCgU4HA4uB5XLZWSzWej1epjNZoRCISwvL2NpaQnHjh2D1WpFPp9Hs9mEXq9nxsN2u41qtcrWk55RqVQCsFH2ajab/AyKxSKXnvx+PzweD8xmM0ZGRviY2dlZjI+PQ6fTYXFxEVNTUxgcHMTRo0extraGQqGwJY8g/k16FnZTul5pgc0SgxjHUkyq1Wqxd+9e7Ny5E5lMhksgs7OzSKfTGB8fx8jICLvRWq0WDocDHo+HM8hkOfR6PVQqFZLJJGeYqexB/282m6hWq1z2AcClJGBDoQwGAyez8vk8L2iKoemcarWala9YLAIA/H4/wuEwqtUqW3mqtZZKJS4jkXtutVo7zt9oNPjZFItFTrhVq1XUajUsLCyg2WzCZrNhYGAAPp8PExMTOHnyJCKRCEZGRjA7O8tZ94suugjHjx/HiRMnttRoldKzvBvS9Up7vl2dFmowGMThw4eh0+lQq9Vgs9lQrVaxuLiIRCKBXC4Hg8GAwcFBdhvJalqtVkYJaTQaVCoVLrNotVrIssyus0qlYgtbKpWQzWah0+ng9XqRy+VgNpu5BgyAEUs6nQ7ZbBa1Wg06nQ4A+Pw6nY43CrKoFI+Wy2WoVCo4HA5YrVbUajWuORNog7LYVLISlbZer6NSqaBSqSCXyyGVSsFkMiGfzyOZTHJZaGxsDB6PB263G2fPnsW+fftgs9mwvLyMqakp+P1+HDlyBPPz8ygWix2bp3Iz7VnbDel6pSWLAmwmQshimUwm7N27F/39/awwjUYDv/3tbxGNRlGpVFCv1zE7O8sJJlrooktJ7q9odVutFnQ6HaOfrFYrgxfy+TxSqRS/TpnZarXKsWcikUClUkGhUOB7I3CGyWSCy+WCw+HgjcRgMDAwQqPRoNFowOFwIBAIoFKp4OGHH0aj0egAVpBFJUUly99sNjn5RGWlarUKr9eLiYkJBAIB6PV6LC8v49e//jWcTifcbjcymQwymQzGx8cxPT2NQqEAo9GIffv24aGHHuogbFMCXXqKuyldr7TKxSEmRAYHB7Fnzx5IkoSVlRUYjUaulbZaLbhcLjSbTUSjUUSjURgMBkiSBKvVylaH4r9isYhyucxKLQops8FgYCUgaCNZXCpJEYiCQBeSJKFarSKTyXBCTafTcWaarHmtVmP4IX0OwhjPz8/z/VN8azKZOB4nIfedACSUhCKFvfTSSzE5OQmPxwOn08nAip/85CeIxWLQ6/U4e/YsLr/8clitVkQiEezYsQMulwsHDx7E7OwsarXalthWWQrqdul6pQWwxR2TZRmSJGFqagojIyNoNBool8sYHx9HoVBAIpGAw+FAf38/NBoNIpEIUqkUJ2AIuqjX6wGAFbVQKPDr5H6S21sul5HP59nVzOVybIkJA0wWV6/Xw+12w2azsfVbWlpCpVKBzWZDvV5Hs9mERqOBJElotVoIh8OcSPL7/XC73bDb7QiHw1hcXOT30FwZAk+YTCZotVq2tAQWET+D3+/HZZddhgMHDjDCS61Ww+Fw4OKLL4ZOp8O9996LSCSC6elpHDhwAH19fZiZmcHAwADDQn/xi19gcXGxo9z2TNBq3SY9pUUnSJ1gdf39/di/fz+cTifOnDkDu90Ov9+Pxx57jONYghNSvdNoNPIGYLFYuCmAaqCjo6M8iIkyxUajkS0qNRjk83mUy2VWULJuhG9uNpsANpBXBoMB5XIZjUYDuVwOTqcTzWaTLTJ5DcViEZlMBpIkoa+vDzabDY1GA/Pz88hms1xuarVaDAYhyCWBLsSOJ6oRGwwG9Pf3Y8+ePTCbzZwAI6imxWLBkSNHkEwm8b3vfQ9zc3NYWFjA3r17odPpsLq6ivHxcbjdbuzduxdra2ucCHuqLqBulp7SCkKxrCRJ2L9/PyYmJlAoFFAul7F7926um+ZyOdTrdYyMjGBkZIQXa7vdRjweR6vVgs/n43iU3E2TyQSj0cgT4Cjr2mg00Gg0OBm0urqKTCYDn8+HnTt3olgsQq1Ww2g0IhqNwmg0drT2lctlSJKERCKBwcFBqFQq2Gw2lMtlvkY6nUYmk0Gr1cKhQ4cQCoVw/PhxrK2tcamHEmhk4ciSUixPVl2tVsNqtaKvrw86nQ4jIyM8t4kUOh6PY3l5GWq1Grt378bLXvYyTE9P4/Tp05ienubYd2lpiWu6k5OTeOyxxxCNRrdk8nsx7ab0lBad7rFGo8Hw8DAuu+wyaLVarK+vM+rp0UcfRTQahd1ux9VXX40DBw5wYkil2pgsT65ttVrFwMAAJ6fEZJHL5UK5XIZGo0GxWGS3mVxv6s1NpVKo1Wrwer3IZrNIpVJYXl7GwMAAJEliqxcIBDA+Po7jx4+jUqlwSahWq+Hs2bMIh8PIZrOoVCpIpVKYn5+H1+tFLBZDNpvtaEEU3VFy88UeYdrUgsEgpqamYDAYYLVa+ZhGo4FwOIyZmRlks1k0Gg2cPn0af/RHf4SjR49ibm4OZ86cweHDhxEIBKBSqRCPx+H1euHxeDA4OIh4PL4FYPF05aBukq5XWiVcTpIkHD58GMPDw1hdXUWlUsHo6CgKhQKmp6dhtVrxyle+EiMjI1hbW0O5XIbRaORG8IGBAZjNZpw8eRLLy8vYu3cvx22NRgNarZZjWcq6VioVlEol5PN5Tl4RBnhlZQV+vx8mkwlra2usTJVKBclkEnq9HkeOHMG+ffswOzvLPa90LUmSOHFmt9vRbrdx7tw5SJKEeDzO5Zzt4IJiuYfcY+rpHRoaQigU4qw3tRRWKhWcOnUK9XodXq8XarUa6XQaZ86cwa5du9Df349wOIzZ2Vn4fD72EHw+H0wmE4aHhzE9Pc3xNwC29r1+2g3peqUloQUxMjKCw4cP86BmrVYLs9mMaDSKXC6Ho0ePwmg04r777uPWO3Lhdu/ejWPHjsHlcmFoaAiPPvoofvazn2Fqagp79uzhJBGwEfPabDbud6XyCcWnsiyj2WwiHo+jUCjAYDBw7Xd9fR2ZTIYVeHBwEIODg/D5fHw/rVYLJpMJlUoF5XIZZrMZfX19CAQCMBqNyOVyiMfj51VWErEvmMAWO3bs4JnEZH2pDTCTyUClUvFGQzFuKpWC2WzGrl27sLKygrm5OezatQtWqxXnzp1DuVzmFkC73c5KK95fT2E3pOsbBkiovnnkyBH4/X7k83lmmKAs8K5du3DllVcyhnhsbAwHDhzgMkcsFkMsFkMmk+EGAlmW8cQTT+C+++7DuXPneHE3Gg0EAgFYLBYUi0VudqckFS1QcmmpHY4YKmh6n0qlQiKRgEajgc/n67BQ1CLXaDTg8XgQDAYxPDwMq9WKaDS6BcwAoKMkJSbnDAYDhoaGcMkll+Dw4cPw+/2QJAkAkMvlEI1GIcsyvF4vms0mpqenMT8/j3K5DL/fz4mtqakpSJKEtbU1zM3NwWg0ol6vI5/Pc1OF2+3uuIeedErXW1ox+RIKhbBnzx5uPq/VatwI4HA4sH//fkYolctlRh01m0309fXB7/ej1WrhzJkz0Gg0CAaDsNlsyGazyOVy+M1vfoNQKASn08kNAGq1Gvl8HoVCgYH3wKbFa7VayGazcDgcMBqNMJvNaDabyGQyqNVqUKvVnCxzuVyIRCIdva+1Wo1dWrGMQp08yvCAGijEhJTJZEJ/fz+CwSB27NjBShiLxbC2tsaNB5IkYXR0FFarFQ8++CDUajWWlpbwp3/6p8y8MTk5ibGxMUxPT+PMmTMYHR2FRqNBIpFAIBCAJElwuVzc46uk++lJT2k5VtPpdBgfH+eyCgH3SSmpZtlutzE2NoZkMol4PA6LxYL5+Xk4HA6Mjo4iGo2i0Wggk8lgaWkJkiQx2KHdbiOXy3XQzNBirNVqzORAQlauXC7zvUiSxBxR9XodFouFlZCgkfS7YrHIKCrqnqEstwhioGsRflrMHpvNZgwMDKC/vx+BQABWqxWrq6tYW1tDJBLhvlu9Xo9KpYJHH30UBoMBBw4cwPr6OuLxOObn5zEyMoJcLocdO3bgoosuwtzcHCKRCCKRCCwWCyfdTCYTl5IolBAVtqe8PaVlJbFYLAiFQtwjWiqVGNAgHlupVOB2uxEIBJDP56HVajnbeerUKayurrLiE6NiMBiExWJBpVLpsHoEuKeSEbCxKCmRRNauVqtxrZd6Zj0eD2RZhsvlYqYJcrsbjQaKxSJMJhOmpqawsLDAXUaEhqIeWhG2CWzGkNTUv3PnTvT398PtdqNYLOLhhx/mbiOr1Qqfz8f1YKLAqdfrCAQCKBaLCIfDWFhYwK5duzjxtmPHDng8HqRSKSwuLmLXrl2MuVar1QzQoCHY9Dfarm7bjdL1SktCbhnBBYm0jLK9ANhtrFQqcDqdkCQJp06dQjqdxujoKCqVCnw+H3fABAIBpib1eDyo1+toNBqIxWKclCLl8ng8zBhBvEvUdkeLldBZBPqXZRnj4+MANpQtnU6zW5/P59Hf34+RkRF4PB6cPn0awMZw6Xw+D6fTyZ9TZI6k+/X7/RgbG4PL5QIAhis6nU6EQiGo1WpotVoUi0V2sZvNJnQ6HWRZ5mfXaDSwurqKVCoFAIhGo3C73Uwyt7S0xIOw8/k817WtViuSyST/fXoWdlO6XmlpMVCjOZGZEXxQpVLx4gM2lIOSQs1mE2fPnoXD4YDL5eLfqdVqRlBpNBrkcjno9Xp4vV7UajVks1nuQSUaUqJnyefzzJAYiURQrVYZ4O9yuVi5KdM6NDSEtbU1ZDIZpNNpbrcjXC919kxNTaFUKnFMHY1GUSqVOD6lljqfz4f+/n4uD9VqNc6S2+127iSiTc1gMKBarTLwgso/4XCYa9jJZBKPPvoodu7ciXA4zEkxIqKLxWKwWq3IZrMYGBhg8Aa58j1gRad0vdKSWCwWXmS0WGw2G1teQg1JksTAhVKphEQigR07djB4gkothIYiwIbNZoPD4UCxWOSMKSWTaJMIBAJMP0NteXNzc8jlch0ADZfLBb/fD51Oh7W1NSSTSRQKBeTzeXg8HoRCIfzyl7/EmTNnMDY2Bq1WC5fLhZGREdjtdqyvr8NoNPK1CoUC9u3bB7fbDavVinK5jGQyyXBCr9eLQCDAlK503/S8aKOiJoNWq4XFxUVYLBb2TtbW1hAKhbC2tsbtejabDaurq1hfX8e+ffs4aUZdRhqNpiOT3pMN6ZV8sOF+Ek8wtaRpNBo4HA7OpjYaDeb4DYfDyGQyWFlZYaUDwHhZQhHRYiNFp84crVaLer3OFtpkMvECp9iUeIGpFnru3DnMzc2xFapWq3jiiScwOzuLTCaDVCrFTQxDQ0N4wxvegEwmg8cffxyxWAzJZBLhcBhPPvkkfvvb32J8fBzDw8PcSEBucaFQwPr6OnsabrcbFosFjUYDpVKJM9xE+0q9wiIAIp1Ow2g04pWvfCUOHDjAjQ+jo6MwmUzIZrNMaKfX65kcj5JlkiRx8kypsD1r27O0bAntdjuTqxUKBR6RkcvlGHtrMpkQi8UQDodRLBZx8uRJyLLMTQGNRoOtpAj2p15acrGJnaJer3N5iTLDZrOZoX0mkwmXX345isUiK+3a2hp8Ph9SqRS7s4TKuvzyy5FKpfD9738fx44dw+tf/3pmhbBYLLwpDQ8PIxgM4he/+AUajQYGBgbgdDq5ZkxMiw6Hg+Neau2jOnK73UY6nWZIZSKRYKCF1+vlcSUejwejo6PsvlMYQbzPYi2ZaHRMJhOHCMBWKGO3S9crLWVr7XZ7B2sDQfBEC6LRaBhP+9hjjyGRSMDpdKKvr4+zul6vl+M+Wd6gHU2n09wxQ5aYklUE4iAa1larheHhYfh8PraCBoMBU1NTGBgYQDgcRrlcRiAQwK5du1Aul3HixAkcOXIEBoMBTzzxBM6ePYu1tTVMTEzg6NGjcLvdvGFQ8/pvf/tbmEwm7Ny5E0ajEV6vF5FIBNlsFl6vFz6fj4nbyGuw2Wxs5am7aHV1FcPDw5AkictO1CObSCRQr9e5UYKQXQDgcDiYbrZcLqNYLMLj8TBlD0FDCSzSi2s3peuVlkD8drudWRvIdUskElweofa4TCaDJ598kgEUhIiieT7VahVms5mBE5lMhi0Vtb7VajUUCgUkk0nmgqJsrFqtRjKZxNVXX43rr78eP/rRj/D4448jlUqxhVKpNjiKI5EIJEnCwYMHoVar2VUmGOQTTzyBhYUFZj/U6XRsvWq1GiYnJ7Fz5054PB7E43E0m00EAgF4PB4u3YisFdQ4T/VqapqnJgaXy8Xg//X1daTTabjdbmi1WphMJqyvr/M51Go1QqEQ9Ho96vU60uk0U66S2202mwH06rRK6XqlpQQK7frUCE6LiShSCbAQiUQwMzODSqWCgwcPYv/+/VhbW2NLq9Vqkc/n+fyrq6tMYVqr1bhFjtgqyJUGNhTJbrejUCjgV7/6FeLxOJLJJHK5HG8KwIa1XFhYgEqlgsVigdFoRDAYRCAQYKpWSiIRuRyxalByze12Q6fTYWlpCRqNBuFwmFkryJ0nHikAbBHJ4yD3n8IJooaNRqPI5/PsYajVarjdbqbQ8fl8Hf3BxLWcy+V4U6MNjLL3Iq1qT3pKCwAcuxEwgRrQqSRDCZh6vc6jJ4lsu1wuQ6/Xw+/3Q61WI5vNolqtcjaXII/0szimUUzg0P8dDgfy+Tyy2SxOnToFvV4Pm82GhYWFDgJz+qLaarPZhMViYUUVFztZSyo30WeiOi8hsahFj1x34sBqNBp8jWq1yqWxQqHAm044HMbS0hKq1SrcbjeMRiMikQjnA5rNJrvb+XyeE34UguRyOb5vUl4qX4kQy5573FNaAIDZbGbUkUgRSopRqVSYLiYcDmNgYAB79uxBIpGAJEk4dOgQvF4vTp48iXg8jkgkAofDwRDEer3OTe803Irqv2KsRq5xoVBgwAWVPoDNIWCi4tL/qbWPJuwRpFFUAopNTSYTx6M0ikTkW85kMiiVSh1zdelcFC4QWRxdi3ijLr/8cgDA4uIiu9VkOam8RI0KdF/0nIrFYker33Y12p7S9pSW67BEeiZaJSq/UJx17tw5tNttjI6Ootlswm63Q5ZlTE9PY//+/dwIv7KygoWFBdhsNhgMBi5dkFUlhSW3mO6DNggiGl9bW4Pb7eaJAUreJFEoMVQulwFsQv+UGVcKAcjyiYm2ZrPJAA2VStWRPCOhzYCyv8AGkokUk3IE5JaTm0sZ7lqthmQyCYPBwM+WPjclvQibTeFATzql65WWgBOkvGRVZXlj1CNRy5BrTMdQ141er2eGC51OB7vdjoGBASwvL6NQKMDpdHYkmyhLTEoo1iLFqQN6vR6lUomntBMqi34vxnhijZXOsR23EjUEEDskkb4RqyKVdURRdh2RG04sjRTrk6VNpVJwuVzYsWMHI8H0ej3y+TyjyIgYj94rkqqLDfdivZvc9l4iqqe0vIjNZjPUajUqlQq34wEbmFufz8d1RIrDRKQUxWx6vZ5B+aKVoLIFARFIaUULLJKm0bUoESNyUCl5lYHNOTz5fJ4t13YlEno/kcOJCiPGywSxFAnRiZWCOp5oVi1ZYXHYdLlcRjAYxM6dO5FMJjmhRw0W7XYbkUgEWq22owxGz5GeiRj/99ziTekp7f8hcIhbGABnRMmChEIhBlmo1Wp2Dck6EFVpJpNBOBxGIpFAsViE3+9nEIVIp0qKR4tTfJ0Uq91uw2q1AthYsMQ2QT+LiivyGytdaKVrTK/TvB5COpF1o8YAclOBDdfbZrOx1ScqVXqPeB1qTaQeYmADp0wzbGkTqtfrzJwhKihl1KmcdD5Wxm6WrldaIgCn+I4sGmVmaXodzXulGbCSJLFlIQwywQWJBYPAAZQZVrrEItQR6FSwRqOBSqXCjfUi8EPMHhsMBpjNZhSLxY7+U2XiRqnEpJS1Wo0ZL6j/tl6vszKR5bfb7XC5XExER+yRZHntdjs3FlCsWigUMDo6yigoQleRUq6urrLHIs4fooYLwm7zJrXxQV6EVfHSlq5XWqPRCKvVCrvd3pFwoX5Xj8cDh8OBaDTKHTPEKUwUMURRSnVWcoMpHhQXHy1KoJOwTHRpSZmpQcDtdrPrTZMHyK202+0MZRT7Y59K6Bhyf2kUCSmhGNeSVaWwgebZEpcVWULKilNXEDURrKysYGpqCl6vF6lUCtFoFNlsFi6XizHeYnKONgpCX3VIT2EB9JQWLpcLPp8PFouFF6jI8et0Orm3tVarob+/nwnTUqkUisUiJ2GoSZ3cRqpvik3mSrdYLC8Bm4pMVrBUKmFwcBBut5vvgUZ7yLKMoaEh7N69G4VCgfmCt3OJxU2BlNtms8FkMnV0HFEHEt0DlanEoV6tVosz2haLhZNkJpOJNybaRCqVCmZmZuDz+eByuaDVarmDiD4vxc+UaafEGm2kYizfk57SMr0pMe5T6QTYzCxTszpZO4oDSWEpG0vte+JUPGBTccQEFC1WYHMcCR1LQtcmYjYiT6O6rM1mw+DgIA+nFt3w7c4tXkOn08Fms3UAM2ggFqGiRBgjgSQIFSXWjMmrCIVCrNg0ALtQKKBSqcDr9cLlcsHpdGJpaYk7i+j6NP+InpPJZILf7+c5vyS92LbXmgeLxcKLRETvUN2SEja0oAndVCqVOjLMVAIReZq2i1vFJgQliIOUm95D1jaVSkGtVsPn88Fut8PhcHCTvcFgYMtFrYP0RZsE0LkZUH8tlV0AMIcVMWcQaJ/a5OjcpJQGg4Fx2oRTzmazfH5qElCr1UgkEshkMtBoNKzM1DRBz8pqtbLVJmvd19fHpOw9Zd2Urre05NoRIJ4yngB48SaTSY7/KPkkTk2n5m1RIckCkYjuL1lZQgwBW7tYaKHS3KBgMMjoKKr/EtUoTVsnUIQSZSXeg8FggN/vRzAYZHYIYMM7EFvjRA4p2mBE74CuQzGxTqdjnmia4UNTFOr1Oh5++GGk02lucCcydUJwuVwutvL5fJ4pYfv7+3u0MwrpeqUFwBhbyhxTsoXiRrJMZFFFfC8lX8iyiXVU0UJQSUlUIlGUGV+VSgWj0Qin08kWllj45+bmEAwG2TUm3mBK/pCyKV1wkbCcaFz1ej2KxSIzZxSLRU4IUfZcvCfx/AQsodiV2gip6Z/a8DQaDTKZDE6ePMmT/ugZU+3W7/dzaYs6miwWCyYmJnD69GmOs3tK23OPAYAtJ3XiiIB1ogglsDu1vVFsp+QPJgtLWVGyrJRhBTqhhaIrLCoGuefUlXPu3DkAwN69e7Fnzx5OSul0Ovh8PkxNTcFms3GXkphMI2jhwMAAN52T1SUvoVgsIp1OM5MjsWjQfZC7Tx6HmHkGwK54uVzmexOz3ARbjEajyGQyPNqTaGu8Xi9npGn+kSzLmJycZCK5nmxI1z8Jil9F95Iyo4QY0mq1yGQyyGaz7KKSBSbwO7CZ9BGVVFRO0V0VUVViGUgUen11dRXz8/P8ncZirqysQKfTweVy4dixY7jyyisxPDzc4SaT4lL2tlAoQK/X4/HHH0c4HObpBWRRXS4XjyAhxRen5dE9i5+HknF0PeJpppot4ZyJaJ3gkmJJiwZlFwoFBqsAG8CRSy65hFFhvdi25x53zM0h5FK5XOYWOZvNhna7jVgsxgmYUqkEq9WKVCrFSgCgw8oC6IAyktUm6B61nVEWllxScr0BwGazoVqtYnV1lV3SkZERyLKM48ePw+v1smUuFos8jd3pdPIIy2q1CovFgv3793PSihgZi8Uix5fEXzU0NIRwOIx4PN6R9SZKHfpZzIRTQo56kHO5HLvP5ImQgtOzof9Tvy3Vn81mMycFCTRy+PBhzM7O4uzZs5xL6GbpeqUtFArw+/2M/CEFMplMcLlcTDyWzWaxe/dutiRWqxUDAwNMSi7yGdHCJpeSEjnEVEiLmL5ENJCYSdbr9UilUtyzS9ndTCbDCqZSqXjoFbDhpk5MTCAYDDIOmEjFHQ4HKpUKKpUKDh06hHQ6zU36BBih5ndSIjqnso4sJrtEOCOVv0qlEiRJ6miCUKlUjKemshOxhhQKBahUKuRyObhcLt7gKDl1zTXXIJvNIhwOv6jr46UoXe8ep1Ip6PV6jt8IZqfVajEyMoJqtYqVlRUG8FO5R5IkhEKhjpolubhiskTE+orTCpQjLygOpdcIxECTAYgH+cyZM9Dr9XjFK14Bn8/H1yUgBvWlUkP9wMAA3G4344kPHz6MgwcPwmKxYMeOHTh48CBGR0chSRL35BK5HAAehi26xvRFZR/6HbnZVNem7DFNNaDNkChmHQ4HQqEQJEliIArFuwCwvLzMoz8HBgZwzTXXwG63v8Ar4qUvXW9piSVRp9OhWq0iHo9zgoWoSXO5HKxWK7evqdVqxGIxnDlzht1msTuFLKsY0wJgKwugI/EkMjSQS200Grmp3ePxsCeg0+lw8OBB6PV6HleZz+c7ykxE71Iul2EymaDVahkSqFarMTw8DJfLhVgsxvN4jx8/zgO1KLOs5BymzyUmz5xOJwwGA2Oz6T0Uj9PmI9ZfKYlFCk9EcSaTCblcjp9/Op1GIpHAvn37AAATExN42cte9qKsi5eydL3SikmUdruN+fl5zharVBtjJKkUoVKpmLCbuoCIaI3OBWxaSpEhn5SZEEbAZsZVVAIqPRHzo16vh9lshiRJ8Pl8mJiYgMViQTKZRCQSYSUhi0YWzOVyIZvNMmYa2LCatVoN0WiU75MyzoSuoqnxHo8Hfr+fFUcE9tP9U5O73W5HJpNhT4IUlJ6tkuVCRG1RTRbY2FCcTidSqRRisRjK5TIGBwe5qyqZTGJiYuLFWxwvUel6pRWpWGg26szMDCtKsVgEAOZUoqQN1SCJfUJMypBlEdFOdCwla6iMImaOqTZL83NogpzH44HX68XQ0BCazSaefPJJngJPqCVqzp+fn4darWYIoM1mY64qSu5QM/3evXtRr9cxNzcHSZIwOTkJt9uNTCaDdruN5eXljpY9spyEiqJwgo7X6/XsSiuZHKm0RJBHeu6tVgsej4cx3m63m685OjoKh8OBZDIJr9cLr9fb0WPbrdL1SitCCXU6HTweD/r6+rgEIQIMaApepVJhsAQtXiVkkcocdA2yOGL9k9xliqn1ej18Ph/8fj/PfKW5sAcPHkQymcSPf/xjRCIRHgtCJGl6vR6ZTAbVapWHWxPU0eVycXKJFJlYJqmrh+hzBgYGeNq8RqNBLBZj/qh2uw2/389T7SgpR5+BnqE4WoU6h0QaH/rsBoMBTqcTg4ODuOKKK9BqtXjQNPU0ZzIZSJLEtK40rKubpeuVVqyxqtUboy2vvPJKHDp0CKdPn8bc3BxarRYsFgvzFjUaDeRyOZ7MDmyyQpAbTN/JaogJK/o9xb0ulwter5cXMZHCDQ8Po6+vDx6Ph5NJRAJOkMNCoYB0Os08yvv27UOr1cLS0hJb1EAgAK1Wy0qq0+mYmoYGOVOW2mKxwOl0skvs9XrZWoqdO3a7neux1ExBCTGysjRBgTwJcpu1Wi27+wcPHkQwGESj0WC4osViweTkJBPMAZutklva9bpQul5pgc5sLwHcT506xXNryPUla0XvEZFTIuOEeE5qOqCfRVfYbDbD6/ViYmKCR5CUSiV4vV4miksmk0in03jggQdQr9extrbGBOEEBMlms9z1Y7Va4fV6cebMGSZFz+VyzG5BrXb1ep0BDEQIR3BOyuKKABGDwQCr1Ypms8nE5hQfkyICYGAGNcTTJkWlHirxeL1eOJ1OhmHS5IbBwUE+bmBgACqVCtFolAeXUXzezdL1SksLhJA9xOUryzJjcmnhEhiBkkUithfYtNZirywtWrKqlD0lV9xqtXK/bjqdZos3NjbGSpnL5bC2toZUKsXDq+heiYiOZu9QLdTtdiOdTqNSqSAej/N8IoovKTvsdDo5diZoZrFY7ADpUzIO2EBMUV2VMu+UdCKWDqPRyEk1Cg2q1SrT+pTLZWSzWVQqFSwtLcHr9XbMqI3FYjAajdxD7HA4eEBZJpN5EVfHS1O6Xmmpr5Qwt2SNaDI5NQ60Wi0kEgmeZUMZZqDTxSaLq+RQIreUapbUq5vJZBiMQHVOo9GI/v5+LvssLS2hUCiwNRKhkzSmg6whMUdQCxwhmSi2VKvVSKfTcDgc8Hq9MJlMGB4eZneX2DioZ5fYJqg0FY/HIUkSTzYga67X6xmQQYpLyTZiuiBqHxFB1mg0sLS0xIOuiczcbDZjfX2dO5HEz9nt0vVKS4V+o9GIRCLBTdexWIyHY7ndbh5OBXRSnW7XuSNaWLEko9frEQwGUSgUsLCwwGgqGhJNg63tdjtKpRLi8TjOnj3LAANK4hBaiCb0ifQ2NCLTYrHAZrMBAGe9aSPRaDSIx+PswtpsNrjdbo5JCTdMgA36DJS0azQayOfzCAQCHOOSK0whg8gzRfdA5xNHg1IZKZFIMLE7nYcQWolEAufOncPAwAD8fv+LtDJeutL1Sgtson5e+cpX4tSpU3jkkUeYSobczWQyyRlbgi1SplQERQCbSkuxLIEbCF3VbrdZaQhLS9bX6XRCo9EwmRyNyyDgPcXYJpOJm91Fl1zkbqLWQsrqVqtVVjCtVsuNB2q1Gnv37uX7rlarHWNBiKydMMHARmcUbWJAJ02OMulG4QVN7KMwg+Jrahwg1JbJZOKEH5WJyuUyTp8+jXQ6/eItjJeodL3SHj58GKFQCIVCAY899hgeeeQReDweDA4OYmFhAYVCAe32xmwbspJUzhFb6gB0/CzWZ71eL9d/SekJxUTWiCbrlctlnuWaTqcZoCDiokmByMoCmx1GBAAh6y6+TkkiYt2gOH1+fh6tVguhUAgAOqa9A+AYnxSQsNOUHCJcNIBt74eejQggoWNFLDaBL0Tyc6vVyvQ3ALC+vv5iLIuXtHS90t58881YWFjAyZMnsb6+Dq/XC7vdzvVJqmeS+xmLxWAymQCA3U2x1EOLD9hkirBYLAiHw4hEIhxfKi0zMSBarVbOGitBGMT6QHEx1Yq3Y5gQW9hEWCHRsFLcSjDC5eVlTlBRaUer1TIFDG0elHQi5axUKpyQI+QYJdrI4pO3QdxZFCrQxkOfQa/Xc5NBIpHA6uoq1OqNkZhut5td526XrlfaBx54AMvLy1zDNBgMkGWZ2RN0Oh2y2WwHYD4UCnXMmhHLPLSo6HcGgwHpdBpzc3OMqxVrulQ6IpdSr9dzZlVUQkrEiFxNZL3IoonMj2SZlM31pDB6vZ43CvIklpeXuR4t9soqoZbiHCBytQnpRZ+HGCzIbaeattvtZlpat9vNrY8AEAqF0Gq1MD09jZGRETz00ENYXV1lNkeHw9FDRKGntDh37hy3gLVaLcRiMXi9XgDg7CuBBABwzEk0LcoaLC1aGjVSKBS4tY+OITeTgPPAhpITxJCOJUWjGqlIqC6ir5TdRWJnkeim0/no81JSSaR9FRVebHAna0/H0WZCQp1B5EVUq9WOie6SJMFqtXLJh5oZzGYzSqUS7HY7arUaZmdnMTs7yx5PJBJBvV5HOBxGqVTi59XN0vVPIBQKcW2UUEcUNyaTSeh0Ou7uoQzu+vo63G43T4KjmE8kCac4NRKJMO6X4k1Salr05Ca2Wi2k02nU63V4PB5+D03fU/a3ivBJku1KIspMN9WmxXicLCERl1P9lwjvRP4rOpdIQ0MACpoLRBlritHX19fZbaZNhxBcNpsNsVgMS0tLWFpaAgBks1nOkhPVTywW69HOoKe0mJmZQTweh9frxeDgINbX13lKHikFMTFQxpgmswMbjQRutxsAOhYwZXwpdhQ7fagxgAjQyK0ly+12u7Fjxw4mS6O4T7Sg4s+iiNaQRKnIdB+kECrVBiPG+Pg4U9pQfywpIG0alM0lZBJtHgRKUSbmxPhaSQCwtrYGi8WCoaEhJokDwMktcrcplier3+3S9Ur74IMPotlsYnx8nEsb4lgLwtwWi0UsLCzA5/PB7XYjFovxoiagAS1GyvZSmUa0sgDYvRbb1WjcptlsRn9/P5OmK62qmJkWKVqBTvpVipPJjSXcr+j+UlO60+nE7t27AWwkwvr7+xn0kUqlmBiA5hcpO3ioDEUbnfil9AQA8CZFzBkWi4W7mex2ewcRupi4E139bpauV1pacD6fj4ckk2tHWVOiYKGZrgS5W1lZ4eYBGmkh8hkT3SqwmZgiy0oJKbK6lGiiWiolwqgsIiqsCHQQwQtKRaFj6Pdi4ooSYQ6HAz6fD+vr60ilUgzgIPoZs9mMeDzO4YHFYmGrS+4r1VmVJS+6Ln0X3WuKl6PRKOcJKNQQ+5IBMLm5+Fo3S9crrSRJ6Ovrw6FDh1Cr1RitQ5ncXC7Hc1+J2JyI3Xw+H4+1tNlsHJcSBJKAC8BmhlksDVGJhJj4AXCZR5ngEl1iJdJIRGUp3VMxhhTvQZw9m0wmeYMR41cRVBGPx9FqtXgWLikxXUNk7thuoxCVje6fgBXURkjtfOSCUzmqV+rplK5X2iuvvBJjY2Pc8kazaCmGpQUNgGF+8XicoX+yLDPPL8WB5XKZm+ZFIReZXGOyWrSAKdsqJp2U76fvovJuF9+KzIdKRabvlCyjBgiiKaUxlnSsTqeD3+9ntBWVwqgWKyKySJR1YjGzrVRgApPQJkL3Tqwa4gbWk57SYu/evQDAnMbDw8OYmZlh9y8ajXa031FiiWhWgsEgWx6q9RJeVxSySDabjZvIyVWmOiwBDsThXUDnEGlx8dOXclQH/Z++i9ZdPB9tIsTlTDVYEfwhWnQCRhAvMbX4iY30FG6IpSHxXsVknLhxpFIpOBwOZr6gsaF2u5030Z7ibkjXKy25hcRyT+4fwf1SqVRHqUSWN7qACoUC11BzuRzT0FDzt2g9yYqJi1KpXFRmKhQK51VYYDM7TKK0QqR8SheaRHS56dzUHEAgCSpHiRaajhXbC+k8tCGR1abNqd1ucyOAMjGmJIjL5XKoVCpwOBwc0zabTQwODiIajXa43N0uXa+08XgcANDX18dJFbIi6XSaC/piLVatVrNy0eIUQRW0iIl4m1xhclepNCImkigBRF/ioiYRY0YlkII8A5HOVURxqVSbvM5kLUVFIpQVgfSVfcL0mciSkhKRe0+bzuDgICOe8vk8pqencfbsWe6DVWbBSYiP2WAwIJvNIhAIIB6PM2tHJBLpcPm7WbpeaWOxGGw2G9bW1ngcI8H8UqkUu8ZKvidZluH1euHxeLiVj0jgrFYr3G43s/aLtVhxoZIlJqtHPFKU5CHLJ8IkxS8R80sbALXr0VwiUjBqyaPvdLzIcUWfTyxPiW4txdrKmFSWN2YFhUIhHDp0CJIkwWg0Mt6aPoMyKSV6EM1mk0nZLRYLD9I+d+4cJiYmGA8dCARe4BXx0peuV9pf/vKX8Pv92Lt3L2RZRjwex+DgIAAwPxEpKkm9Xofb7cauXbvQarUQj8c7yh5OpxNWqxXZbJYVUcl5LLbUiXxSYmZVzAjTYicwBL1Oyt5sNuF2uyFJEpaWlpjszWAwwG63sxtPCTLRAtO5xIYC0X0WR4BQhhzoBHK02xuMjevr63C5XAgGgwA24I1iPVosC4kAEFneHGpG9zo1NcVzgffs2YN2u93BqNGt0vVK22w2EYlEUKvVsGvXLng8HvT393N9VHR5KfGiVqsxPj4Og8GAxx9/nOGOPp8PGo0GdrudLSW51vRFC1Ysw4ik4KJbu13NU3wvKQxZrEwmg0QigWw2C7PZDKvVyiWo/v5+eL3eDnaJ7cD3SqWizYLKOoRSEgEctJkUCgUG9xNfM20Y9KzJu9iu7krtiVarFe12G4VCAVNTU5ienua5PolE4oVeEi956XqlJYhgNpvFuXPnuJdWTBiJFhEAZzWffPJJRCIR9PX1IRgMcsxHrh5lZYHOuJA2AVIMsXRDTfWE61UimkiRxAQQnZ++2+12ttw0xnJ2dpYbGIi2RbR2yqSVaIXFhJWoeOI9kLUtFotM4r5z584OpaV7EhWVPp/oOjcaDWQyGeaFkmUZ/f39KJVKOHny5Au9JF7y0vVKC2ws2EajgUQigfX1dUY+ibN3lGWVlZUVrKysIBQK4fDhw7BarajX69yXKg6RFhvH6XpiXVPcFMjS0fvELLCoWARCoN+LE9npWlSmEt17s9ncEQuT0P/FsR7kzlJ2ma4JgHHYxAktwiRrtRpWV1c7KGzE64h0PXRdulaj0UA4HEa5XIbH44FarWYLOzIywqFLN0vXKy3Fb4TOIS4o4gMmtxgAu5WtVguRSISHWAHAiRMnmFmRlEJs8CbLJSqheE7R0pCVFa3edqUcej8pKF2X6qzKDYBgh8p4UhQKC6gpXWmNyeUnEjmxhi268rVaDXNzc9y9owR3iJ9NbGCQJIlb+8rlMs8KOn78OBqNBjwez/P2t79QpeuVljKfFK9RB8/w8DB8Ph9nfcU+TlqoRDtaLpcRi8WQzWZ5qhvFeWShxRhWBDyIiSA6VglEoOPE95AFFTPSYgZZtIrElAiAEUzbgRXEn2lGkdKdpdKQVqvlDUoJ8KBe3bNnz2JxcZFHgoiYYtqsyL2v1+uw2WyYmJjAnj17cPbsWUSjUX6+Pp8P0WgU+Xz++fizX9DS9c2JtPBpcdKALYqjqHuHlIaYI2gYczgcRjgcRl9fX0fni6h4pPjKflvxHsRGdGDT/RTrkvQe8fxi6YfiacoCkxKL9VqgE2AhMmDQ+clyEqmbsqYqKqm42YgKTOcWlVxZrqL7oNi7v7+f49i+vj7OSD/++OM86Lu/v//5XQAXoHS9pRWtFtBZxvB6vbDZbEzuJrIRUklFq9VieHiYJ8SLbh+wuSmISipmXkURlUoE3otoLDFbvB2sj5RTVCY6h3ge8f/KGi39n5SQflZ+F99Lm4yIFaYh2srr0OekxFa73YbH40EwGMTs7CzW19eh1+uxurrKoBNKfp3Pre8m6XqlBTYJ2gB0EKdRj2ckEuHFJVojnU7XUQOleFfZtC66o9vB8EhJKfFFykmbh7KnFujcFMQaqrLDhn4vWmylB6CMN5WviXEovZeeBymTciNqt9sMiKB7Emf5iJlknU6Hvr4+WK1WyPJG59OZM2eYqJ0I9kSGyG6WrldaWjwEeHC5XPB4PAzq7+vrw9zcHNc3xcVGbP/UukcsjaKCiYqrhCaKSCcxXhXLN8qYUTy30vqScisz3dslf+i9yk1EPNf58L5KL0GMrUVAiBKaSRudSFNjMBhgs9kwPDwMp9MJrVaLVCqFdDqNfD6PlZUVmEwmxi/3mCt6MW3HopIkCX6/H0NDQww/HBwcZKK3RqPR0aVD5G7JZJJdQTF5pEwgKa+phAOKrqfoBiuPobIJWTsRDCF+Bzq7fZTJJ/EelCgsem0766u8V4rHxQ2KmijEzUHcTGRZ5mFh/f39GBsb46QUlc2IZKBQKODJJ59EtVpFKpX63f7g/x9I11taEUDhcrngcDi4od1kMsHlcmFkZATRaJRJ33bt2oV2e6ODhcZtiFnZ7awhsLXcISo3KakydtzufpUWUqmI59sglNaVLKOYGRdjfLqW0uJuZ51FK0ujRciii645Ka7X64Xf74dKpcL4+Dh396RSKWQyGf5O1z5z5gxWVlZ6lhY9pe1wSwkpRKwVNPZjfHwcZ86cQTQaZRJxj8fD9UQC+IuJHGBzVo0yYXS+eHG7TK2oaOdTGtFlV/arKs8pbgpizKsU0TIq71npSYjnpn5clUrVwaFMn48QVRdddBFn28fGxjg8ISubTCY7kGOtVqtX7vk/6Xr3WAlapz5aKkOYzWaEQiEMDAxAo9Egn89zDZHa88i1pNY3UQHFhX++kod4L2LiRlmLPZ/yii6s8rrbdSdtV6dVXnu764nXFIUUSxxholKpmAtZLHnJsoxAIMDZ5cnJSW5fLBQKiMfjqNfrKBQK2/69tttguk26XmmVLmqz2eSJeQaDAfv27cPY2Bh27NjBmF5C+aTTadRqNYbyUV1TeV7R8imvKwotcCXMkY4/38/kgirjaaUoE2H0mcV4dDtXXmllxfeKZSlZ3iTE8/l8HRhnuke73Y6+vj40m034/X709fUB2Jj+TsPJ8vk8NxRsZ+G7XbpeaUna7Ta30qXTaSQSCeTzeUiShEAggMnJSYyMjDDdKU3VIygfsTaIGGPx3OICP199lY6lxSm61qTQ1O8rjgZptVqcOBOtuDLbKiq2EmBBXUgiZHO7ZJn4ecTXRQ/CbDYzqQC54Gq1GpIkwe12w+12w2q1IhAI8AQCmpMky5sjWbZ7Rj2l7cW0HUqRyWTYwi4vL0Or1fLkgf7+fhw8eBCrq6sc19JoRrIw5+tFFbOqyhhyu4QSATzI4hL2mAAdYt2WhCw+uaUE9FBaexHeKFpmEa4oZnnF+zxfgo28Aqq5UmcR8UI3m01YrVbY7XaeIFiv1+H3+yHLG11Js7OzzF5RLpef8m/V7dL1Sisuwmq1irW1NdhsNsTjcbhcLgQCAbYYExMTOHDgAH7xi18wbJAWPgHyKYlFr9E1lG7nU70uWlsaHm02m5kRgqCUZE2JVJwsmt/vRzgc7nDXxXialHQ7S3o+66o8h3geETyh0+lgtVoBgEdq0jQ8Ku8Q2owa5A0GA2KxGLvG23UBgW6pp7c9pRVFpVIhkUggkUjAYDBgbW0NgUCAR1IYjUZcfPHFWFhYwOLiInMaiXNiqfldhPkpQRBPpSximcVgMMDhcMDpdMJms/EiJ2tLJHJkQc1mMzfC0+BrMfGk3CCUDQlivEpfSvglgC1eAB1DGwnxPhuNRjidTlQqFbjdbgwODsJoNEKj0cDr9UKlUsHhcKBSqSCdTkOW5Y7kXseGARVk9FxjoKe0HSLLG72gy8vLcDqdKJVKWFxcZIZGi8UCi8WCI0eOIJvNIp1OQ6VSMZeTw+FgxSR2QmDTfRQhh3Q9pXWjeJFglH6/n2NAcdiX2FJIGGiiayFXWbT6ooguupiEe6pjxEYGcWOhn41GI9dnS6US6vU6fD4fT8kbGBiAXq9HqVTC6OgoVCoVP9NIJMLDuilrLFpY1f+ZV1XPzALoKS2ATtCASrUxcGt5eRkulwuZTIb7a00mE9rtNnbt2oX19XU8+uijTJFCcWd/fz9cLhdzRinrt0orq7wPsjJEhk4zXMUWNtGtpuva7XYYjUaoVCoeKyJOARABDkqFpXORyywmwJTxrTIkoMSTWq1m7uN6vQ6TyQS32w2VSgWPx4NDhw4xFJSyyna7He12G+vr62g0Guwa0/XOV0Pudun67LFM/xSubDQaRTabZUYLsm4ajQZ+vx/79+/H0NAQu6mNRgMmkwl2u53dUUmStjQPAJ3ZZLLUZDXJAjkcDrhcLthsNna9afAVxZHiZkNT251OJzweDywWS4fLLYpYlhLrp8DWso7ospNSi0B/s9kMvV6PQqHAVDMWiwW7du3C4OAgDAYDT3Cg77TJEO9TMpnkubzipqZSqQBFqawnPUvLLpcYL7XbbVQqFayvr8Pn86FSqSCXyyEUCkGSJB7+nEgkmIGwVqvxOBCTycT1SpPJhGKx2BEHigpMAA5KYjWbTUiSxIyO1Bcrguy3i0VJ+Q0GA7My0nDq7YQUVrS0osIorbB4PepuslgsADamM2QyGbRaLUiSBJfLBa/XyxzKtAm6XC40Gg0eki3LMvL5PNLp9JaxoNuVdp7KS+km6XpLC2x1j8k1SyaTKBaLKBaLDIAHNoAAAwMD2LdvH/bv3w+bzcajLWjxUvO8RqOBy+XipnnlyEYa6FWtVnnavM1mg8Vi4VY7suQEzKf/0wImxSDLTSyI4uvK8o/YXCCKMkEmWmGNRsPeBE2mT6fTiEaj7BJTlthisXAyCtgY3k2eBNVmW60WotEoSqUSl3uUfxPVee6tm6WntIKIWVUAKBQKyOfzjIVdW1vjuMzhcGDnzp04fPgwLrroIm4fC4fDPNOVlIb6RZ1OJ4CtaCkRkEHJGeqtJYUV4YkUJ4vZXVmWeVNptVrstor1WaWyim6ycjMRlRXYUFgafSlJEgAgHA5jZWWFmSdtNhs8Hg8CgQBPu9NqtRgbG2MAhUqlYsK3SqWCaDTKnTxi+6HyOZFsZ4G7TbrePQa2Whd6rV6vI5lMor+/H+VyGWtrazCZTBgYGIBWq4XL5cLo6CiXOI4fP45MJgOVaoO2xuv1QqfTMcjA7/fDbDYjlUp1MPiL11cik+gYUTkpAaTsmyV3lBSOri0qgfK7shxFdDWiEM0ODc8mruhIJAKVSgWr1crdUYFAAGq1Gul0Gs1mE6FQCE6nkzcbq9UKk8nEIQcBVc7XDEBhiwo9NBRJT2mxFdcqZk7JfbPZbKhUKlheXmYX0GQywefzoVQq4ZprroEsy3jiiSeQzWaZFZHiy1qtxnzALpeLLThdj77ENjllwkgJbBATNmTVq9UqZ3jp/UpyNuXnBtBRxqGMM5WySGGpfBOLxZBIJHjQltPphMlkgtVqhcVi4YZ1t9uNYDDYsUk4HA4uDcXjcZRKJZRKpS0oKI6tIQMyeqAKQXpKi60gefq/LG+w9i8uLvLCzOfzWF5e5oFa1DhfKBRw+eWXo9FoMCQvEomgXC7D7/fD4XAwbrndbnNmuVKpbBmMBYDjV7o/sS7bAToQFJbA/zQvV8QeK5Ng5DIrPzcdR/3ENKFeo9Egk8kwxazRaEQwGGTqGIpnxel7Pp+P7ymTyXAcXKvVeJg0WVly7Xvy9NJTWmzs5tsV7gkmuLi4CL/fj9HRUWg0GsTjcTgcDoyMjAAAnE4nXC4X6vU6Lr30UrTbbaytrXXUHonDl2qahGQiQEaxWESj0UC5XGZMc7vd5jEkojcgAhtEr4CsezKZ5GHY2/XzKjPEdH5xqDNNgCca2FgsxpSmFosFVqsV1WoVOp0OkiRBkiTU63VIkoRms8llJ1JS4jQGNpNv8XgcjUaD2S/FEIC9iA10xcbfqJeIAtBTWgCdSJvtygr5fB6nT5+G1WrF4OAgVCoVUqkUPB4P7HY7VCoVvF4vSqUSAoEALrroIoZEFotFFAoF1Ot1lMtl2Gw22O12BmqUSiVYLBZ4vV60Wi2k02kUi0XO1FJsLZKPkyhZLKrVKuLxOE8ABDoZHsXPpRxXotfrGdcszqktFAoMjWw0GpAkiWfxWCwWLvFQB0+z2WR4JwBIkoRKpQKbzcaNBHq9np9NPp9HoVDYcn/K8lPPPd6UntIKolRY0bpFo1HMzMzAarUy4imbzTJNil6v59qtzWbD7t27MTMzA4vFgmw2i2q1ikwmw6Udiv+oVknuscFgQCaTwfT0NEMYScGVpR6yxCrVZrPD/Pw8UqkUY6JFt7nd3iBdt9lsjKcmC0vxtogfpkaEdDrNwH96Hna7HR6PB0ajEVarFX19fVCr1VhdXeXpAy6XC7VajbPh1WqVaWiJOiaRSHR8pu1AHh3K3MMf95QWOH/RXsyuNhoNrKyscAaYrG0wGGSSt7GxMZ7Heumll8JsNmNmZgYmkwmpVAqFQoFxuaVSCZIkMa7ZYDBAkiQ0Gg3UajWsr68jHo/DZrPB4XDwsWq1mstAzWaTa5ySJCGZTCKfz6Ovrw8DAwOoVqtYX1/nOjChpjweD2eYyZqr1Wp25YmwPZ/PI5fLcfMCTcKje6KyUjAYhF6vx9LSEoANJSOACbnZrVaLSfFOnDjBA7tFAMgzyQ738Mc9pd2S1KHvSkWW5Y0OlKWlJYRCIWi1WuRyOcTjcQwNDQEAXC4XLrroIhw/fhzRaBQHDhxga2Kz2ZBMJpHJZFCpVFAoFFCr1TjR43K5OINKAHxKMhENC6GnaGJ7q9ViNNLQ0BC0Wi0mJiYwPDwMt9uNarWKfD6PVqsFk8nElp04minhRKWiWq3GyCTKblOGmGq0NN2ekkqBQABerxfhcJjjV6o1G43GDpI8q9WK9fV1zM3NoVwuI51OM6Bku7+LEq/dK/lsSNcrLdCprNuJyHEUiUQQjUZhNpuh0WiwurrKCSZZluH3+7Fnzx6cOnUKgUAA/f39XNrR6/WwWq3cbE8JKsIUkzXT6XSszLVajXtOm80mz551u93cAlipVJDJZGAymeD3+1Gr1ZDJZJjNQqvVwmq1MlwylUqxm07K2Gw2eehVuVxm7LTJZOIsMhG5u1wurs3W63WcO3eOk3YGg4Gz5WKmW6VSIZ/PY3FxkcnfE4kE9wCTnC+T35NN6XqlFa2qcjcXlZmSPtVqFeFwGD6fj8nIotEohoeHOXbs6+tDuVxGJpOBRqPBrl27OOas1Wqw2+2cgKFscT6f55IPYYhJUfR6PX+R1TKbzQA2RleSolYqFS6fUON+rVbj5BEAbprPZrMMyBA7kprNJpdviHBNr9dDrVZz547ZbMbo6ChGRkZw3333YX5+Hi6XCyqVCkNDQwz8oL5f2vRoYgBtKmIbnpIGR/y7bBfndrP0lHYbgIISTke/p4UVj8eRSqUgSRI0Gg3W19c57iTFm5qawvz8PFsYr9fL/aQOhwPJZBK5XA7FYhHlcpk7ZICNkgiVa0hxKPak2m6lUuFpeNR4r1arkUqlUCqVYDabO0otxWIR7XabrT7hmqmWSxsElW9og6CSkdlshsvl4oZ8+tzU6VMulzE4OIgdO3YwFlusPbfbbYTDYUSjUTSbTayvr3c0QNAz3q4d73xJqW4VldzbunrSkwtKeg0DPenJBSY9pe1JTy4w6SltT3pygUlPaXvSkwtMekrbk55cYNJT2p705AKTntL2pCcXmPSUtic9ucCkp7Q96ckFJv8PoyDVp2kA8ngAAAAASUVORK5CYII=\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"visualize_model(model_ft)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "vJTTbA44zhFi"
},
"source": [
"## ConvNet as fixed feature extractor\n",
"\n",
"Here, we need to freeze all the network except the final layer. We need\n",
"to set ``requires_grad = False`` to freeze the parameters so that the\n",
"gradients are not computed in ``backward()``.\n",
"\n",
"You can read more about this in the documentation\n",
"[here](https://pytorch.org/docs/notes/autograd.html#excluding-subgraphs-from-backward)_.\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"id": "EJnsmCCozhFi"
},
"outputs": [],
"source": [
"model_conv = torchvision.models.resnet50(weights='IMAGENET1K_V1')\n",
"for param in model_conv.parameters():\n",
" param.requires_grad = False\n",
"\n",
"# Parameters of newly constructed modules have requires_grad=True by default\n",
"num_ftrs = model_conv.fc.in_features\n",
"model_conv.fc = nn.Linear(num_ftrs, 44)\n",
"\n",
"model_conv = model_conv.to(device)\n",
"\n",
"criterion = nn.CrossEntropyLoss()\n",
"\n",
"# Observe that only parameters of final layer are being optimized as\n",
"# opposed to before.\n",
"optimizer_conv = optim.SGD(model_conv.fc.parameters(), lr=0.001, momentum=0.9)\n",
"\n",
"# Decay LR by a factor of 0.1 every 7 epochs\n",
"exp_lr_scheduler = lr_scheduler.StepLR(optimizer_conv, step_size=7, gamma=0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dUP9Jp1EzhFi"
},
"source": [
"### Train and evaluate\n",
"\n",
"On CPU this will take about half the time compared to previous scenario.\n",
"This is expected as gradients don't need to be computed for most of the\n",
"network. However, forward does need to be computed.\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 0
},
"id": "E3W00L61zhFi",
"outputId": "b3c15433-aad7-4cc7-9434-9552bc6b158b"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Epoch 0/9\n",
"----------\n",
"train Loss: 3.2885 Acc: 0.1699\n",
"val Loss: 2.8420 Acc: 0.3441\n",
"\n",
"Epoch 1/9\n",
"----------\n",
"train Loss: 2.8071 Acc: 0.3092\n",
"val Loss: 2.4442 Acc: 0.4267\n",
"\n",
"Epoch 2/9\n",
"----------\n",
"train Loss: 2.5580 Acc: 0.3644\n",
"val Loss: 2.2381 Acc: 0.4165\n",
"\n",
"Epoch 3/9\n",
"----------\n",
"train Loss: 2.3747 Acc: 0.4090\n",
"val Loss: 2.0748 Acc: 0.4746\n",
"\n",
"Epoch 4/9\n",
"----------\n",
"train Loss: 2.2437 Acc: 0.4250\n",
"val Loss: 1.9390 Acc: 0.5141\n",
"\n",
"Epoch 5/9\n",
"----------\n",
"train Loss: 2.1550 Acc: 0.4432\n",
"val Loss: 1.8796 Acc: 0.5021\n",
"\n",
"Epoch 6/9\n",
"----------\n",
"train Loss: 2.0722 Acc: 0.4571\n",
"val Loss: 1.7986 Acc: 0.5374\n",
"\n",
"Epoch 7/9\n",
"----------\n",
"train Loss: 1.9829 Acc: 0.4945\n",
"val Loss: 1.7439 Acc: 0.5542\n",
"\n",
"Epoch 8/9\n",
"----------\n",
"train Loss: 1.9560 Acc: 0.5080\n",
"val Loss: 1.7285 Acc: 0.5536\n",
"\n",
"Epoch 9/9\n",
"----------\n",
"train Loss: 1.9731 Acc: 0.4831\n",
"val Loss: 1.7440 Acc: 0.5536\n",
"\n",
"Training complete in 1m 50s\n",
"Best val Acc: 0.554159\n"
]
}
],
"source": [
"model_conv = train_model(model_conv, criterion, optimizer_conv,\n",
" exp_lr_scheduler, num_epochs=10)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 923
},
"id": "xI_eFV3rzhFj",
"outputId": "e8590a25-55c4-469b-ae1d-d4b18d9f2ec0"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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Q0WgUQ0ND8Pv9yOfzKBQKaLVa8Hq9iEajSKVSiMfjCIfD8Pl88Pl8CIfDCAQCqNVqqNfraLVa8nsoFEI0GoXX65VkYpbqrFmzBkNDQ9i1axfm5ubQ6XTQbrfRarXQbDZRLBbRbrcRiUSQTCYRCoUQiUTQbrdRKBRQLBZRKBTkxWe3223beMPhMOr1OvL5PIrFImq1GjqdzmFLVdsbBsE9MTAEfCdhWRb8fj8ikQgSiQQ8Hg8KhQLy+TxarRaCwSBGRkZkMnu9XliWBWOMEIYLRCAQgMfjQaPRECJalgWfzwfLsoSIPp8P5XIZtVoNhUIB7XYbAIQYvF+73ZbrfD4fms0mKpUKGo0GAoEAxsbGkEqlMDc3h1wuh2KxKETkfUdGRhCNRiVlzBiDer0uz3Rx8HAJeBjg8/kQjUaRTCbh9/tRLBZt5Eun00in09JRrNPpwOPxSDGt1+tFs9lEu92Gx+ORHjWc6ECXmH6/X8iYz+dRrVbRbDZhjEEwGITH45EEbmMMOp2OSESfb+HfTYJ1Oh1EIhGMjIwgFoshlUqhUChgenoauVwO9XodxWJR7hOPx6UGj69BkFLvJFwCHiJ8Ph9CoRBisRgCgYCodZzwIyMjQj7LsoQQwEL2PolojBGitNttIRUAtFottFoteDwehEIhIWetVkOz2ZRrNHG9Xq/ct9lsol6vIxAIwLIstFotuXelUkGn00GtVkMoFEI6nUYmk8GWLVuwZ88eGwkty5KFRo/TxcHDJeAhwOPxIBKJiFpZLpdRKBTQ6XRgWRZSqRQmJiYQDAZtaqHf70ej0UCj0YDH47G91+l00Gg0RPL5/X50Oh3U63WRgMYYucbj8YjUazQa8Pv90qKC5TmtVgv1eh2xWEzsR17fbDaF4FRvo9EoxsfH0Wg0MDMzg0ajgXK5jE6ng3Q6jUAggGg0KlLUVUUPHi4BDxIejwfhcBiJRALRaBSVSkV6jvj9fgSDQUxOTiKRSPRMUhKjXq+LesfJX6/XUavV0G634fP54Pf7RWJqFRRY6KvSarVQKpXQ6XTQbDZFLaQqC0DszHq9LlJXV4fThmWrxlarBZ/Ph4mJCViWZSMhAKRSKUSjUflcrj148HAJeBCgxzORSCAWi6HRaIjNFwqF4PV6xeHCiUl1kGoi0JVM7XZbJF21WhVpxFZ8dLrQW+rz+UQKJhIJtNttIXK9Xhf1l+qh9o7Sw6mdNT6fD16vF+12G41GQ8YcjUaxdu1a+P1+7Ny5U8ZnjIHf70cymRTp6dqDBweXgAeBQCCAWCwmDolsNotarYZgMIhYLIZEIoF4PA6Px4NmsylqIr2RQJfEzWYT1WpVpCE9ojyfpKGXlaRstVqoVCqIRCI2SUl7j15U7Yjhc3XHMT5Hhy/oPPJ6vRgZGUEgEECj0cDc3ByAhYUjn89L+w5KbFcKHjhcAh4g/H4/otEo4vE4Op0OcrkcKpUKAoEAxsfHkU6nRaJQIlACaWlDIpCEjUZDpJp2yvC6YDAoXk5jDEKhEPx+v9iKJGEwGBSnig5vaBXV7/eLKkoVkpKzXq+j0+kgGAzC5/OhVqshFoth7dq1ePPNN1EsFlGtVlEsFhEIBJBMJhGPx22S08X+wyXgAcCyLIRCISQSCQQCAWSzWRSLRXi9XoyNjWHVqlXw+Xyo1+s2jyQlEFU1ksXj8SAYDEpYQEOHEugp1bv0UI2s1WoIBAKiFtK243OpntJJ02g05PmNRkPCGPpF0hpjRDr7/X4sW7YM5XIZ09PTEjdkokClUhHPqIv9h0vAA0AwGJQsllKphGKxiE6ng1gshrGxMYTDYQmcezwecZZo249k1NKQKh6Pa1VUvwDYnCskoPaO8tl8LrNWKOlow3m9XnmmtgcpYZkkoJ06fr8fQ0NDCIVCAIDZ2VkUi0WMjIwgEomgWq26BDxAuATcT/h8PkQiEUSjUXG6UFowSF4qlWxOFw2Px4NAICBqJVVLp3Sj2qqJp9VRHXagQ4WE4ziABc9nKBSyOWC4ONDDSqJxfFwgarUaGo2GfAYG3YlIJIL3vOc9QuhGoyEqcaPROOz9N3+X4RJwP0CSsUdnLpezSR56O/li0JyBb96DqiM9m1QTnRNcPxfoxgYpYRiKaDabCAQCSKVSqFQqNlXW5/OJPahJT4cJ70GvKgBbOpuWlFRjmc7W6XSQSCQwNDSE3bt3o1KpSCzUGeJwsW+4BNwPeDweRKNRyXQplUowxkguZSaTse3PQHd+q9USW49ko/1FRwvP1aqedudTMml1Up/LGGIymUQ+n5f3tKdT23ckWavVEompnUaUtiQupaD+yWczP7RarYo0pyrsqqL7B5eAi4COl2g0KhUGDFSn02lMTk7C7/eL5NOTuF6vS8UDj/n9foRCIVEVG42GLe2Mz6RNxlxRTnrmgQKQ55ZKJQwNDcl7VD0pkVjNQGKRLI1GQySzDmMQHFMgELB5TrWNy2waSkWtHrtYHC4BFwHLcvx+P7LZLJrNJrxeL+LxOJYtW4ZoNCoqmg6I829KOKAbCmBsUDs6NDT5+GwSmxkrAET6cPNKBvHT6TQsy0IkEhHvpN/vR61Wk/ERDDuQgLT9gsGgqKmMCWrvKMMxgUAAlUoF7XZb8l05DjcwvzhcAi4C2njMMqG0iMfjCIVCNidGMBi0Bb9JLkoDfVzXJzpDFrxfIBBAOBy2hRe0nUVp12q1JIWMpGQmDcfnzMLh9VwUtGMoHA7LcxmD5O+0PcPhsEh0ACL1gsGgTeK62DdcAu4DnODBYBDlclkIGA6HkUqlbCEFrcpRPfN4PHINJzwAm/eRfzttPx3/o6rHZ4dCIczPz6PZbGLZsmWoVCqSBA7Ati2XdrzwvvxseiyU3lS3I5GIjImVFboukSVViURC1PJarYZoNIpwOCwLgot9wyXgPkB7DYB4BcPhMNLpNOLxuEgt56Sm9CJBNfl4nvM6kVRvn2OMkcC5My+0Wq1KAD2fz9vuTSIB6EnuXgyMSdI5ozNxtL3I8bXbbaTTaUlEr1arIrXD4bCbHbMfcAm4F9AG40Sq1+sIh8PIZDJIpVLiFdTxM5KKnkodyFY3hqWeoWGMkfdIQFY6kBSa5H6/H+VyGaFQyEZ42nX8XWfhOEnEn1rSMRZI55CWwgBsnzUUCknpEu1bfm+0DV3sHS4B9wIG3n0+n0gZFqsy9YsqJ+0iehEZnKYEsUlIYwAVG9TQkpGFtCyY1V5Iqqa6+p22IP9mQrZ2DGkC9ns2440A5Pm60l5n2GgpG4/HMTw8jLm5OVl0gsEgAoGAJJm76A+XgH2gpV+r1UK1WkU4HJY0LJ3TqXMvKXGYCM33NLGsvZCP99C/axLQc0rSU+ppe0y3s6AE1OTTz3BKQV7LhUSnw3EsDIno6gpK4kQigVwuJyRmYbDX63VtwX3AJWAfMHYWCoVkjz0WoQKQVgw6x5JEpRqmoSVOPxXQ+buGJhKvo01IDyTbYlSrVXEA6dhjvzCH9oo6y580WWnrOavm6XFl6IFeUq12M364t0wfFy4B+4LSr91uo1wuw+fzIR6PS0CcxKNU0sWsAGySSNttzvxOPVk1wXgugL7qI59Nh0k8Hkc0GpXKDKqnzowUp5TUY+JznMncHJ+2IblYMJVNf2Z9DaUgS6Zc9MIloAO0/YwxKBaLaDQa0nAJgMTL9IrOCUlPJSexM3NFE1Lnd+q6PcCeyK0LXWnP0S5kOlihUMC2bdtEElWrVVQqlR7VTyd+OzNv9Hh1ka5OfXNKaU02vVDw90AggGAwKON10QuXgAoMOsdiMSEIY4GUciQLj3HiatuKk1wnL2vpwmMkn7PshxLIGTjnM1gNT6lbKpVQLpcRi8Xg8/mk76e2QTW5eD+CmS8swtV7rfMza2Jp1bQfAWlL0lZllo3rjOmFS0AFOl9YCc6E5WQyKTaVtr9o9+iAvJaCfDltOD5Lq3pO5wyD3nRiMJanvaT1el3aRLAQmOPmPRmTZEobwwVapfT7/dJKg1Xymky0/5weVZ3Rw+dp7yi/P3b9dgnYC5eACjrtjKU/w8PDGB4elvYPdDyEw2Hb5NQTsF9VOtD1hurgtu7VognK8AbbTGi1UBNR35e/E8xjXbVqFcbHx1EoFLB7927k83nbmPgctstn7JGfQS8mJKXODQVgIyUTwRk+YQzTVUN74RLwbdDzqQPvPp8Pw8PDGBkZkbgaJz5/13YP1TXej84LbTNy8gKQOJ3TK0rS6ca9tE1pNzLYzuucEohpYscffzzWr1+PeDyOl156SdrPa8JyrLVaDT6fz9ZBjffXxNPqMolJ9ZbSOhwOy3fLz+KGI3rhEvBtMLufey50Oh2Ew2Ekk0nbfgz0QDI+51TLtDqpiamJ0c8Oc0ouXcwLQPp0jo2NIZfLYdu2bZiZmbH1cNG23vDwMD7wgQ9g3bp1WLt2LWq1Gn79618D6I0F8hhbJPZzuuhFwhnGoJqraxydzhi23XDVUDtcAr4NXUHOOB7bwJfLZSGcnmDOGkAnAffmOeQ5mpj9JjWPcwFoNptYvXo1li9fjtdffx0vvPACtm/fLtKQ5Esmk1i3bh1OO+006czNNhP8bJSWOtDOZ+jKC6fa2C+e6ZS8um6QCxdtYzc1zQ6XgOiWEvl8PrHLvF4vYrGYqFLaM8mJyUnP45zEeqLvzU5zOi80qLpqOysQCCCXy2HLli1Yu3YtPvaxjyGdTuOHP/whdu/ejXK5LARcu3Yt1q1bhyOOOEJsr+3bt2PHjh1yX90omKD3slQqIR6PIxKJ9DiQqDJrZwvVSx0bZdExvweXgP3hEhBdNzwnoHZysPcLiUf7TffrJBEp1RgicEpA3XxJtwbkvSj5dKYJ7TMSYNeuXZiamsKRRx6JD3/4w8jlcvjpT3+KXC6HUqkEr9eL448/HsuXL5fx7tmzBz//+c8xPT0tAXKOj1IKsG+zRgeT7gejpZu2cSORiGgEOk5KYjIzh4uViy4GnoAMPbC4VvfGdNb7aQLyWp/PJ84Fxgr5Ho8BEOnE9+hxLJfL0lPFmTnjBItt2ZNmZGQE69atw8jICHK5HF555RUUi0W85z3vkTKqWq2G1157DVu2bJHaRDp1nIF2fh6gG0bQJUl6AaFE053TtJRksS7tWWOMhEpcdOES8G0pxknCyUgJRSKylR+v0eEGTmKSl84Mxgyd25DxXBJAB/L5LG0b8nkkONsfer1eHHHEEZiYmBAHx6ZNmxAOh8VLOTU1hddee00SpTkOvZBo+1M7YHQYRduFuiKfYwZg69ytJb+WoM4snEGHS0Cr2yqQmS/06tEJozNgtKdPhxBIKp20zJxSnV3i7IJGiaInLasqaJvyOk58qriURF6vF6FQSPZxICFarRa2bt2KnTt3ikrL95y5m/o4pTodKLTdGIphBYSuznAmE+jvRRPfhR0DT0DaJbqejwFkOlu0qsb3nUF0ADaHRSAQQCQSEecOpQsnI/us6JxNrXqShFqFc7aV0Hanz+eT7ty8X7Vaxc6dO217FvYDVW/d+JfBc8Y8qYpSuvdTyXVs0BmKIGFd2DHQBNSTiDYPJyqbEmnHAgAhoA5M9+uZyURk3UqCXcc8Ho8keLfbbVSrVZsjhKBXkYsBCcKGULTZqOJlMhkMDw8LedhG0emRBbpNlHi82WyiVqsB6Nb4cf9BhmBIbCYKUCWnPamv1cH7drttq+h3VdAuBp6ArFkDuvYXcyepevVrLcFSHN1kV79ITKfKSvuSQf9KpWLrPs1x8acztY1xPp0pw1c8Hkc8Hhe10ZkEwHs4M11IVjZSotrL+kbmmHJjF901jXsRsn8N78fvjovbYg6mQcVAE1A7SYBu6Q8nGACbK95pH/I6HtfBc96fE1BLBl6vi2f7EUW/+BxnwoCOvWmbVNu2zmC/dvTooD/tRN2IiqlvlUrFlgfLBPVcLidtGsPhsC3PFOiq+G4eaH8MNAE5mUkAThzabjrjn8nRJJKTBDrcQNKy7EjnStIeooeVC4AzLYxwkoW2JLcMY7zOsizk83nxkFqWJfsY6lgf0F1onAW6HI/u9al7y/A9qr2lUkmqL5LJpPSFoapKiQ3AlYB7wcBaxZQQrFfjpKR6qCVKMBiUXplUvYDuRNYvShwdkuAkpv2oJ6Ozgt2p6moCMp9y69at2LNnj633JknGGsNOpyPbaJMw+jyn1xLo2m/O7Bid7UN1dX5+XrZno+24bNky6RzA+2gvq+uE6cXAS0BKKZLDGaTWJCXoGaTqp1vHkygkMAlCIrFIlUSgHaqdO3yG03YkYfP5PDZv3iyNeWOxGPx+P9LpNNLptJDZ7/cjlUrJJqCEDhE4pVI/ddeYbqI2yc24ow5HhEIhpFIp6cytFxS98LjoYmAJSPvL6/Xa3Ox6QmkbieqjDqADXTuSKhkAW4MiqrWciAxPcIJykjMM0i8YTu8ppbPX65VqiNnZWaxYsQKTk5MIBoMIhUKiMgaDQYyNjSGZTNrS47TKqV86lklVk8cZG2TWDhsG652VyuWyEJA7NfGz0xPrekLtGFgCAt191XUNH8tq9MQkCTTxODm5otN5QZtO53JqUtGO0gTkZCd4X01CnS86OzuLmZkZWJaFbdu2YXR0FH/wB3+AZDKJt956S2zEUCiEsbExjI+PY2Zmxqbe6tQ3LZW4X722S7nIUKXWSdWUbMYsNOkdGhqSfFiGL6hJ6HNdLGBgCahDBDofsl++I0nktKW0Ksf3qSayqoDqIQDbvntagupkZU5sHdpgMS4lJ9VBknb79u1oNBqYnJzE1NQUjFlo3BQKhRCPxzE5OYlNmzbZumTzGU6JxMVG22z8XduCbDfIMASlP73IsVjM1vOG34+bDWPHQBKQK7/OdKH6SZtJSzhNNh1f082LNBkZGqhWq7LJCa8FYJO4nJSMKzrDA/Rm0jHE8ZMolNpTU1Not9soFouwLAu5XA6hUAiJRALLli1DOByWTVScmTfOUAfJFo1GbbYrQzP83GxfrxMQ+FPnhWpCuyqoHQNJQKArAQGIajk8PIzx8XGRdJp42iakE8LZLt6ZtkXykaxaugKwqaDsxmZZlhTY0rHBoD2v1QsH806NMchmsygUCmi1Wti2bRu83oV9DJkf2m/S9yMfxzM+Pm7reaO/F+bN8vvT5NMLi3Yk6e/AJeACBpaAnCR0lliWhUQiYavv04TTDgVnuEGrZzrDhDWGOgany3c4+Tnpga401SERNoDi9dpmY34mr6cD5rXXXgMAZDIZIfFbb70lEpafSauETg8s7ThnuZW2Bdk6wxlW0QkOVLudIQ4XA0xAThRd1eBMCeNPp/TgBNXtG3hcSynmg1ISsDgVgK3mUIcjgG6sjlkn2oFB6H6jzC+lp7LZbCKbzWJmZgZzc3OIx+MYHR3FG2+8YavE6PcZ9UIzPz8vMUw+hwRst9vidOLY+Tk5Pu3IcabZuVjAQBKQKzadCLrbmc7icJYMEc7Kb532ReKxHZ9259MLqgt3tU2mqxC000LbhHwuJQ/7bdILq1U+2qH8PCQOvwNNaq1iM/ap1VNKMY6VY+NnTiaTCIfDYhdyZynn965/uhhQAmqV0Rn85t/aS6kdMTo04Cy30S92AtOeVG3/6B2ItO0UiUSkVQWlIMMKfB7jhTqEsXz5cqRSKezatUsSplm8Wy6XJUXNmZHizDkl4XR5kq7E0KqldgoBsHl3tSNLh29c8tkxkAQE+u9SpO2yfgTkeTp7RNcL8r7aEaFzIfU1hD6XSc6sE2w2mxgbG4PP58Pc3BzK5bJIUcuyZEfakZERfOQjH8Hs7CyMMUgkEkgmk2i1WiiVSj0eXP1ZdAiGn5tSleEG7ZzRzhjagpZlSStHHUvVz6K0dQlox0ASUAe6afO1222bOqcloVb/nHmUnFx0MpBcOpDO83hcq26UgNx/kFugUd1jUJwdu40xkmRdq9VQr9dxwgkn4L3vfS+eeOIJKSfi/hZ81tDQkFyjQzAEx0fVVXfL9ng8UhlBCV8oFFCtVlEsFhEMBiUHlGGTer3es00bv3uXhF0MJAE1CYAuiaj26RIhrujMidRbMZMQziA1QWLrv2lf8X7lchkAJJGa5KYKWC6XxUnENoGa3AzgF4tFZLNZsc2SyaSMKRaLYXx8HKOjoygUCjIOrWrr74Yki8ViOOqooxAIBDAzM4NyuWyL+THMQino8XhQKBREGmp7U9/fJWAXA0lAoJuBoiWZ3hMdsO//TnuMeZtMOOaEpC3m3IFIO1C0WhcKhWT7Zpb9UBrz+Tq0wPFwgcjn8zDGIJlMolwu45e//CXm5uakIj6VSiEWi6HZbCIWi2HNmjWYn5/H3Nwcstms3I+fnZ+F+aR+vx9jY2NYtmwZarWa7BdRqVSkB2k0GsXY2BharRYSiYRI6lKphHw+LwuT7iznEtCOgSQgJ0G/yUBiAvZwA71/uhwpEAj0bK6i7Twtqaii8n6FQkFKldh2gmTXAXvdoIm2FdXEeDwOYwxeffVVIXM6nYbf78fIyAgymQzm5+cRiUQwMTEBy7KkR4wzSZyfXS8+jCdS+unSKEpxZ1FyLBZDJBKRqgy9VZrOhHGxgIEkINC7RzrQDTQzrqYdCAxZ6E7Z9ERqB4MOUXByUoIx8ZuVCQBsbSE46XWuJQP7etFgGCKZTKJQKCCfz6NSqYiEZpvFdDotUjkej2P58uUYHx/H66+/LoTi59MtNLgAzM7Oolar2ZwyHCclJWsSWTFPWzEejyOZTCIQCEjPGzf7pRcDSUAdTgC60oq9UJjdos/RleL97ucMOuuaOZ11o3NFeZxSkXmVtM9IXF3uAwDRaBSWtVABXy6XZe8/qpe0If1+PzKZjKiY4XAYiUQCgUAAlUpFxkrCk1R6IeqXsUOPLW1i3odpeK1WC8ViUcarvyMdAnExoAQE7DmQ2jlCm0Xv5MMeLrpHp3bfA73hCsbEdCaLLinifbTaSY8nK/Tp3NDxP927NJfLiReVTZFKpRIKhYIQjP1dmLkyMTGBWCyGfD4PoKs6cmNSJgJQSus8V3pt6Uml9Ae64RhdsMuObE71HOj1Eg8qBpaAelJ0Ot0ttIBu1gcnnc5KAbolOzpJWQe4dVBbe1y1V1RLP46HXk9tJ7HjGJ1AOt2Mjhx2LKM0K5VKyOVyMn4+MxAIYGJiQuoGdWCeVflzc3OIxWI9ubAcl8ez0JKCaXLRaBT5fL6ndaExpmfXJjcJuxcDSUAnOXRWCQBxNOjMDzbJZa0fU640kbRk1M4UoOvU0AF+/nRmi5TLZVtHbfYX1ZO62WxKzJAbinY6HSHlW2+9hWq1img0asueSaVSGBkZEUJQQlEF9/l8iMViUtDr8XiQyWTQ6XRQKBQQi8VgjMGuXbvg9Xolc4cxyUajIZu18L5cgHSmjDP8MagYSAI6Kxy0feJMydKrfrFYlPggt7CORCIAujE/TjiqtLpHJ8/jOfwbsDdfYiUEO5qxIFeHI2ij1et1KXy1LAuxWAy5XA67du1CLpdDKpWSZ7B72erVq2W/CO1tZV9RqrShUEhKmWKxmJA2Ho+jWCyiVqvBsrpbbetdez2ehR16K5WKhGz0IuNiAQNJQAA9RNOOGWeYQqtynEQ6+Ax07Tkdq6P0pNpIZweh1WDtwNESUVft0xFElXDXrl3I5/OwLEucJ7TlGPM74ogj5Hn0nh511FEYGxtDNpsVScXPZIwRiUtnEVPaqKqyqqNWq4k0Jvm0ZGcWDf/WzatcLGAgXVJauum8RR5noyTGuagGsgKBBCExdR4l768zYzShdayN0JJYhxo4wenU0AnhlrVQCUFnCsMNOiPlrbfe6tnZl2lpiUSixzHCgDsld71et2XiAAvq7vz8vEhjvRuULp/iZ9YtNpxS38WASkAt/XRGjNNpwmN0eOhdg0gC/dLOExLQuS+D8yelDMfidNZQxa1UKiJZWUJFJxD7lfJelmWhUqlgenpabFdNQno7qXoDXSdQpVKR/E4Sjz/peKK6yWMMeehu4U7Pr9530CVgFwNJQB1CoBNE2y7aJqS9Vy6XJfdR9zhx5n462zfwb63aOotr+axkMolYLIZisSjlQ1QBd+/ejU6ng0wmIyRk0rQOhTC7pt1uY3p6GqVSSRK5ndkvelzGGCElg/S8J9DtlsYcVZ0srhcyeoS9Xq90zdYOLsAtSdIYSAJqW04XveqguVYTg8GgZHjQXa9jerxWS0HGzDhZeR8tIVnrx9SutWvXYtmyZdi1axc2b96MYrGIXC6HarWKqakpIRZb/3H87NeppWOn08GOHTuwY8cOJJNJAF1HUaFQ6NmyTEsqOl/m5uZk0aHXl9KaiwNDONretayFvjaFQkG8ooFAQFRqVwJ2MZAEBLrbKDP+V6lUUKvVkEgkJHit9wpkbEx7NHXeJ3+yklzvLU/7UHfJjkQiGBoaQrlcRqVSEdLqVDJ2tDZmYTvqVqsl9280GhKqYPzQmWmyZ88e/OQnP8HIyAjS6bSEHaanpyVjBugS05hup+tgMIhWq4VCoYBwOGwLvfAaALbkba/XK97hYrGIQqEAy7LkO9Zt810sYCAJSInFycQczVqtJqs/V2tOUuaAArBJRx064MpPe0jXE1L1pDeUfT5J1GaziR07dojUYyGtZVnS4o/1eHwevaLc5JM5rESlUsHLL78Mv9+P97///ZiYmEChUMCrr76K2dlZW7Ml7aQpl8si7fk9Mdjv3CNQO6rq9TqmpqZQq9VQLpdRq9VEouo8WVcCdjGQBAS6cTcmTTPQnMvlkEgkelooaA+erpbQGSCUkCSG3jmJTg0WzLbbbWSzWUk/83q9KJVK4mzh/SlFSWAuGnSCUGrRVuVGKXzWnj178PTTT2Pz5s2YnJxEpVLB1q1bUS6XexpD6RxU7YwiAXVbCq12Uiug+p7P52UBC4VCshhRNXbRxUASkCohJwPVrlwuh+3bt+OII46QHp2EDg/o3i5O+4/qlp5s7XYb8XgcwWBQEpTpXNE5qB7PQmOlVquFfD4vpOYYqX7Ozs5KsyV2yyZBWNSrs3Ky2SxKpRJ+/etfA9h7HxxdPKzTx5wLCWONQHdPQcY49VZvWv1k4oAr/ewYWAJykgCQ1bxer4sHkvEsoNt6ntc4QxH08LEeLpPJSDMkBscnJiYQj8cxNTWF+fl5cd37/X5xdHi9XqRSKVHh+GxKSe2FrdVqMmYA4qF0VjAA3ZInrVJrIujz9TmM9dHjS2mmQwo61EBJrouSdUsLVwXtxUASELBPOl1qxGp33foB6IYYtPeP99BpY5ygdOuzBGhychKhUEhCGrTnmM/JiVkqleT+dOnTHqOdpRvjMkCv2ytq6Gwdp9dWfzZnhorzPS39mO3D950pffx+6UiiGuumovVioAmoV3A9MbiJSb/UKS05SRpOfgCynTMdOtwgpd1uY3Z2Fj6fD4lEArlczlY9waJXZp5QuuqfugKDP7V01g4fLemck95JPn1ME1aDx/UmMk4vMP+mhkCbtdFoSEzQlX52DCwB9YTWsTrG1BqNhjROcl5Hm0fv/JPNZuU4HRBMVg6FQqjVati5cyeSyaR4P2mzAZAYH8mjKyyAbpxObx+mg/C6+oASS7ev0ON3qqiaeDpdjs8noRj4pwqqJSGhq0QSiQTC4bCox24IohcDTUCqd9FoFJlMRrJAWGXA3YG0CkebjmpirVazqZFaxSM8noUGRqtXrwawEJ9j9TvJwQWAz2EIgOTQko/xQL2fBKUT0LXZdP6l3h67n6rJ650bzjBJm8TnM5z5szyX/UxDoRCGh4cRCoWQz+dtW3S76GJgCciYHF3rqVRKnBssPaJdR+hKB0oxZofQ1a6lFj2cJG08Hu+x8bT0YYyQHkNdiaEdRCSgVhU1MXRfGU2kflkoOo2M9YC8n87a0bmdHLf2nHo8Hsl+ARbaZvA70c2nXNgxsASkNOHk4A5CbAvPniaUgpQydHRwxyISkGlmOkuGvVOoFjabTVQqFRiz0Fw3EomI6sksEq366f4wPEZbk6qg7l/KeKDOR9XlQM5iWBKM4yRhuSjwHDqA9I63AGwquGVZ8p3RzuVncqXf3jGwBAQg2SPM8AiFQohEIuJlLBaLiEQitmoHYwwKhYK45VkXV6vVhGwMVHODTJKgWCxiampKdq/tdDqy5zoAkYoMLegeNVRZSUYGzpcvX458Pi+Sh8R1qoaAPfSgpWskEpFn6cA8pRvVUi442l4GFtLRWKZUr9eRSCQQjUalWxp3VXIdML0YaALqqvJarYZYLIZEImGzA7WLngWtdLpkMhmRDiQgi1kjkQiGh4elOS7r+5j9QrVuenoaxhiZxEz85m694XBYNlehE0PH0zip6XGtVqu2YDw9ltqzqkG7j8F15pny+6E01X1LmYWjmzhls1nkcjkAC524g8GgkE+nsLmwY6AJSLWQBAyHw1Jb54ypMS7o8/mQSqUwPz+PfD6PoaEhW3U4J7FWUylRfD4fMpkMisWiLcZIW9IYg2q1inq9Lurl0NAQAPt+FlR7W60WpqenxSvKjBNKLt6PfTl5TIcptNTjGPgsqp203yzLsmkLXGwo2dmDhvtS0GGkt0VzYcdAExCA2IFcqak2cvVmxYRO7QoEAhgeHsb8/DzK5bJUl9PGY/oVJRJzIn0+H5YtW4a5uTnUajVp26fzSAEIiWlT6bpDEp2guspcVpKFBNDkBuxxP92bxukh1fV9tFPZNY6Sj5J/z5490oq+n/rpxv/2joEnoNMZEwwGxSaq1+solUoYHh62SRaqmLxWd0tjhUAsFpNn6AlLkmm7SMfyqI4C3UJdHYdjsrWuPeR1lDh0fFBd7ef5pJOGKqQ+zvfo1KH9p3uM0ttKTcCYhcr8RCIBYGGhYEKCq37uHQNPQACiJpEUgUAAiURC6ua4TzulICd0NBqVcAG9kT6fT/ZlYCOjeDwutlO1WsWOHTswPz8vKirVSv6u3f4kWrPZRKlUsrXNZ1xSj0urjE7oyn+g60l1VvZr6PiiDsBzPLOzs5JWNzQ0JOqn6/3cP7gERK8zJpFISOs9NrnVOZ5013OSawlI76RuF1ir1aSCoVqtolAooFQqoVQq2VrT8168BzuJsTkS92HQm6IAdsnlXCS0Pdcv55PnsJKBUpSgV5ckokTO5XKYmZmRyno6sJgJxD6hbuxv33AJ+DYYkqA9SClYq9UwPz+PeDyORCIhrnugm/kCdDNDGo0G5ubmkMvlxLNYq9WkGgDoBrbZyk/HGfligner1cL8/DyKxWKPO183dKIKqglICcnFQ0smwN6LNJFIIJVKIZvNSiW7tkl5Hu2+mZkZFItF0RhSqRRCoZDYwdoWdbF3uAR8G5SCVJv8fr+EJPL5vKiiVMM48ZmwDUC8hKVSSewoegtJbmfjIga6gW4KGcMC2sbS5CMxtLdTN3AiAVnBwCC79krSScP8Tt6f51Ct1j1u6OjZs2ePFA4bY2zSj1qEK/32Dy4B34Z2clSrVXGmMH0sn88jlUohlUrJZGfzJp15wgnMRkYAbEnXwAJhnKRjCpr2dhYKBZEyujJCFwRT4jUaDZt009ULLLfS9+e4WNbENhhafeUiobvDbd++XXqR0rs7NDQk/WtYlU/PqYt9wyWgAh0xfHEPvnK5jFwuh9nZWUQiESEeg/K0mUiiarUqeyZwR10SltCpYcy75Is1ibQR6WjRjXd5LgP8VJ3pldW1eXsrMeJnJpH1OHidMzGbQX4SNRwOy34RJB+1CBeLwyWgAiWJzt4IBoMYGhqShrX5fB7pdFrc97S/aONxknY6HRtZq9WqjQS0/TTxtB3JTmlURZ0STdt9zt2RAHvgXntT+Z4zvY5hC33M+Uxt1/HzJZNJm9OJDhhX+u0fXAI6QDc+JxurGFKpFGZnZzE/P4+hoSHpz8KJSpsK6BbYchJS8jE1zFkwS2nBY2yYxG5iTjLoLBo+V5OZ0MnX/ZwhtCed+9vz8+gi32aziVwuZ8tTzWQyGBkZAbDQgY0vqsEuFodLQAcYr9MZLQys53I5FItFzMzMSKsFLb10dQAJwsp3XeyqKxmcLQ4pQZwNg3XL935tEZ2hBn4WwN5Og39raUlVWavFmoj8HNlsVp6VTCYxNDQkNZTcBUnvkORicbgE7APtjKELn815s9ksZmdnkUwmkUwmbSEETmA6VnTluTOPE+iGI6ga6n0WeL0mHq8BukF12nDs1+LsvaJtRZ1czfe0jaehqylKpRJ2794tanQsFsPw8DACgYAsVuwD6ma9HBhcAvYBvYOVSkWKVMPhMMbHx9FqLex/zrbtTptLk1Afo4ShTUYVj4TRUkkX0wL2DBQSk55J9q5h525d0OskuA7A60VD27LO88rlMnbu3CnlTn6/HyMjI5LxwoWK0s/N+TwwuATcCygFS6WSqI1ss8CyIkpBwL7hCMnhzEbRXlBdVsT4nTMnVKemcd8HSj7dpoJxPoZCeK226zS5dCmR3hlKo91uS8yPZUYez8LWZqzQ4CJFJ5Creh44XALuBXSkkHz8GY/HkUwmkc1mMT09LYF2XRmuJzxgJ6cuA9KE04W2uu+nrljQbekZmvB4PBIOoeqpA+kMSegWHMyO0duJ6bExm4fFwyQWFyC27qfkcx0vBw+XgPsAmwyRVOzjOTQ0JIHyqakpTE5OCjlIBGfHMB0G0OliTsnD65iZopvdOvcn7HQ6UpMH2DdZod1KotO+ZFUDO2prycgQyszMDGZnZ+V8fvZ0Oo1IJCLVI/R6sqWiiwOHS8BF0G4vbFpJSWRZFsLhsGwRNjc3B6/Xi7GxMbHzKGn40tkl2t6i5CNRGQ6gtNL9X9glTccLeQ1VSG170ikDdEMVAGyST7fCoG07PT0tCda8l9frRSKRwMjICHw+nxCvXC7bclxdHDhcAu4HWq2WbfsvTkj2QZmamoIxBqOjo+K0ocQBIIFuXq9JxAwU9l0BusWxmji6ZIh2nu7fqdVYXeen7UnafLRFue1YNpvF3NycFPRyDHxGLBZDOp0WO1TH/Hi+i4ODS8D9RLPZtO13l0gkkEwmpYMat/tKp9OIRqNil+mWgJVKRRKtNXloO+o2Dro6QpcRccdZekpJWq3O8t6agDrcwHObzSZmZmawa9cuyVvVaiy9t5lMBtFoVGoAuYsT09JcHDxcAh4AKAkZhI/FYkLCRqMhOxoNDQ0hmUzaguk6s0RnzGhvp1bl+vVnYXiBGTI6vKDVXKAbhOc9dfpZu91GLpfD/Py8zX7TXbQplYeHh6XwuFAooFwuS6sMV/U8dLgEPAAYY6T5LEMD4XAYqVQKuVxOPKfT09Oo1WqSskaVU9tulDKaOHTe6GoHOmAYEC8UCqKCstRIO1K0o0cfZw5nu72wm+7c3Jxsa03y0+akGp1MJpFKpaTESpPPDbgfHrgEPEDQU8gSn2QyieHhYQALfT9J0vn5ecmkoe1FFZBeS6cU05LQWflQLpcxNTUlkicUCiGVSklVBgDbM3gvSuZisShqJjNomHan09ko+RhuabfbKJVK0h3AlXyHFy4BDwLs+EUVkz08WRVBSUN7SeeL6uRn2orO/E5NIO7TPjc3h3K5DGOMeCnb7bYUDrOxLqUqmyJls1kUi0UJX9Bu1L06OSaSORaLIRaLyWdgCw23yuHwwzIDYkXvrenQodwvFApJNgzb2lerVVsFu+6JqV3/uuLc2TWNxOYeFfl8XtK8KKE02ApehyToJHFu2EnJysQBnRETDAaRSCRkh1+Sr1gsLkma2SBMTZeAh3hPVs3H43HpnkZnDXtyUtroxG2ql7rdoVY52fyIXdd0CETvgqRLkXQiOGDfG5Aqrs4x1RIvHo9L7WG1WkWxWBTJt1TFtYMwNV0V9BBAp4vur9JqtRAOh5FMJqXNPKvidZs+qpCEJqEOgDvzQQFIqpnOiOE99N+6RAmA2K2UdroHKu1B7olRKBRkqzEX7xxcAh4G6Ca4TNPi/n3RaFRaGLLWT0vEfsTTRbi015iXSumlJRtJ57Q1nTWI4XBYts0Oh8NCTrbAoNpaLBZRqVRce+9dwMAQcBDUGRe/fejfqceFCxfvClwCunCxhHAJ6MLFEsIloAsXSwiXgC5cLCFcArpwsYRwCejCxRLCJaALF0sIl4AuXCwh/h9vbH8L7Ox46AAAAABJRU5ErkJggg==\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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Gs5KCqXPPjScfnvsdx0EwGEQ8Hsfo6Ciy2SwikQgqlQoOHTqEer2OQCAAYwxCoZCkUUajUSQSCQQCAXQ6HUSjUaRSKfj9fnS7XfR6PTiOg0AggEBg+WuuVquo1+tIpVJwHAfGGPj9fvR6PZTLZSwtLcEYg3A4DJ/PJ+cAgFAohFgsBmMMisUiDh8+jFqtJsePjo5iYmICgUAAxWIR+Xwe+XwejUYDvV6vL51W/y3P0JiBabccK5+h93jH58h3xKxFCzesoA+BvHSe2hct+F6hNjB9L+ag8/p8PhHyRCIhxTTGGCwuLmJ+fh7VahU+nw9+vx+O4yAajSIWiyEajSISiSAQCEhFlt/vF+HsdDrodDpyDaaYBoNBdLtdOI4Dv9+PTqeDVquFQCAgabvtdhvxeBzBYFAmlV6vh2AwKBMGr8u00m63i9nZWbRaLWzZsgWjo6MIhUIwxiCfz6PVaqHT6biEWD+bQUK/ru9lncdbWEFfE94XaTXh9X7GcRz0TM91Dk4A3B8IBBCPx5HNZhEKhZDP51GtVtFoNNDtdhEKheDz+RCPx5HJZJBKpRAMBmUSMcZIiyWOzRiDdruNdrstEwQnC7/fL9YBABH2breLYDCISCQCn8+HSCQijR+MMTKZ6GtmMhmUSiUUi0V0u134fD4UCgV0u11MTk4inU7LfebzedHqfaWiDoAhcR8+s77vwvMVmGEnsbCCPgyDhHxDn/e+jXCb62yuGQgEUCgUkM/n0e12EQgE4DgOkskkxsbGEIlEAKzUyjuOg06nI5pWCwIFl2Onhqd2N8ag0WjA7/eLlm42m3AcB6FQSCYECqU2u7vdruwPhUIYGxtDKBTC0tISHMcRl+PVV1/F1NQUxsfHMT4+LudptVr95vmAR6qF23s8n58xxgr3BmAFfQgGvWBeeM1P/SKupo1orieTSTiOg0qlIv5sKBSS/ZOTk4jH4wCWhazdboupTd9aX5PCBECEldqamp3db1utFlKpFNLpNLrdLprNJmKxGEKhkJyr2Wyi3W7L2H0+n5wrGAwim80imUwikUhgfn4e3W4XkUgErVYLhw8fht/vRy6Xk8kin8+7LYQB/Ae3a03f55OrZ+lg5RkPOJXFT2EFfR3QgqTNcKBfyw/T+vSNE4kEstksWq0WKpWKtH8KBAJot9tCbulGBfSPu92uaH2/3y+f9fl8aDabfT64HjMFWpNtJNPa7TYajQbC4TACgQC63S5arZZMHAAQiUTkXIFAQAQ/GAwiHA5jZmYGjUZDhP3QoUPo9XoYHR2Fz+dDt9tFsVgUzT5IyL3PS7s6HK/N8do4rKAPg3oP1+Obr3Wsz+dDLBaT3ukUDMdxkMvlRPDD4bA0fNTnJIPe6XTQbDZF2Or1upjtPp/P5bO7bsdxROumUinxrenDc6IIhUIyoXS7XRk7TXAtdNyXTqfh8/lw8OBB1Ot1RKNRNBoNHDp0CIFAAOPj4zJx9Ho9tNttl9B62XTA7Xe7iDxrsm8YVtDXAQMDGKypzbWpzv18gUlyZbNZjIyMiFnc6XSQTCbFRCeBVqvVEIlE5G9qagp7rVZDt9tFPB4XwQcg5Bx9cwqlz+dDIBBANpuVUJ3W9D6fT4g8su3aTwaWGfl6vS7amcSc5hQmJydx4MABmbDa7TYOHjyIQCCAdDotXU05iXifqcXRgRX0NeDyAX+K1WK9XlNTa7xwOIxUKoVsNotOp4P5+Xm0Wi0kEgkEg0EsLi6iXq+LYNMfj0ajMlHw3IFAAJFIRASY/rjWkBRyAKKJAUjYa5C/S59eT2S8D++k4SXLSOQlEgmkUilpOx2NRlGtVnHw4EFMTU0hk8mg1WqJq0ALYZg57trH4RrP3xhMfloswwr6EAyKl7v2K220GvGm/fLR0VFEIhHMzMygXC4jkUjA7/ejUqmIIAYCAYTDYUSjUVfoTCewkAzTgqqvT7OahB3j5RyLFlL68Yxza5Ncx/sp0NqUp3VBvmCQ399utxGJRFCtVjEzM4PJyUmMjo6i3W4LD6CvN+h+Bgr6Kt+FxWBYQV8nVstqG7RPC7zf70csFkMmk0EkEsH8/DyKxSJisRh8Ph+q1Sri8TgSiQR6vR4CgQASiQTC4bAIOoWMwgTApeF5TW7zhsU4VloLvV5PJgEKOX3mQYJGK0Iz5n6/H5FIBOFw2HVtv98veQG1Wg2VSkUmumaziaWlJRx33HGYmJhAu91GsVgcON6BQo6VyZd++qBJwqIfVtCHoC/rbQhxpI/Tf0ciEYyMjGBkZASFQgHz8/Oy9DC1+vHHH49oNCovPLuZ0ozW2XHaHdA+NuA20QnGvJl8o8fMTLl2u91nOfCz3meg3ROSgRRSWhqZTAaJREJChq1WC5OTkyLoXPMtlUqh0WigXq/Lub1uwWpwHEe4E3ExLEm3KmxRy5uE18cdFPYJh8NIp9MYGRlBo9HAwsKCaNJWq4V0Oo1NmzYhGo26Mtf0C89rUNjJklPQmdeuzW4Koz6WQsnPkEzTZKE20ynsHAePH/QM+DvB5JtMJoNMJgMAqFQqYk1wqSFaMgwden11jm21HIblg6zZvh5Yjb4OeE1KTXJ5ySwiEAggmUxifHwcgUAAhw8fRrfbRTgcRqfTQSKRkCWEdbtjzZDzml4OQF+PeeT6HFrbekNhg9JgdVotE2S0a6D5AV6HMXlej9t4nkAggGg0iomJCXQ6HVn2OBQKodlsYnFxUfx1hvU0Ecj74/gHPWMm1VhBXxtW0IdgEIOuXyqXn6xeOsbL6avOzMxgaWlJYuBjY2NIp9N9JrXP55M4s96uBYnCQKEkyaY1sFcTMstN79ManVwAJxjm2lOz855IutGK4KTAbDmGzTRpGIvFhHyrVqsIh8NSLRcOhyWHv9lsotFoDPweBrH83u/CYjisoA/BME3K/cBKKicr10KhEFKplISZFhcXRajS6TTGx8elaETHyFl1xt+15tUvdbPZlGPpn2uGXI+RGhuAK4tO8wFaiJkJ12w2+zRpIBCQUllOMDwfj2m3267P8Vkw7ZaTCFd+BSAVea1WS+5HX3cQ9wFAnrm+X4vBsII+BKvFd1fbTq0YiUSQSCRQqVRkCScy1LlczrXMMYVPa0MAkl1GE14LsndpH03gUQvTp2eoTmtnau1Wq4V4PC4aU2t8jk1bChR0zQ2QzSd7T8uB7gALYeLxOIwxqNVqKBQK6HQ6qNfrEnWIx+Oo1+t9EwzvaZDlpO/fYjisoA/BWqahCLuBxHdZlZZMJjEzMyNx5GAwiFwuh2Qy6WK2tdlOs5gC0+v1EIlEJMecgkjyrl6vi1BzPNpkD4VCUnraarVEu+t4+iDfnueiMHuPYQRATwiMiXOiY3iQE1MikUA8HpdsvjfeeAOVSgX1eh31el0+wzBf3zPm9eH09wewJvyasII+BLo6TMPLthOMF2cyGZTLZRSLRRHgTCaD0dFRERKy7Po8NKeDwaAIPf1WpsNSi7JwBIBLEPk3hTwQCKBer+Pw4cNIJBLI5XKStkoLxMuc02fvdrsS+iKhp9l3/k0yjUIejUbl3DyeGXkAsGnTJjHjmSWXzWZRLpdRq9XEfZHroN98l1CalfF1wYbXhmCQee4Nq+nwFENKkUhEzFNuJzHHz2t/nJqR2pNtm2KxmNSL1+t10XbaCuA4vHF2TiQAhNxjOi39bQAull3/HwwGJa1V15PrbjH8YaJPPB53Vbjx3hgy5LZgMIjR0VHpqENLIJFIiAUilWoqVq5h0103BqvRh0BMYrhDOg76q7foh6ZSKVQqFZTLZXnJKfze9FLCGzumMJMoo3lLN4BlpNSiwIrG9YbF2KGGWpbHMgLQaDTQbDZlEtDjoIByfJob0CWj7E4TDAaFc6BrwMnGO6mlUimMjY2hVquhXC672Hdqe2OMi3DjWMRFgU2SWS+sRl8nHPWvb99PhSKdTiOZTKJWq0krp1QqhUwmIxqX6abA8gTBXHNghbUm+6zJMwBCYJXLZVSrVTkPP6vHo8k0Muqapecx9Xodi4uLkh3nTZjRFovjOJK/rpN0dEVdp9NxJQXpMJ13AuIE2Ol0UCgUhH/QVXs6WWZgpqLByo/FqrAafQgYNlvNTKSGpDYfGxtDs9lEPp+H4yyXbU5MTLi6tuhmENqc1aYwfXidyebNQtPa27uPE0i9Xhc/mgJO/5zXyWaziMfjrv5yLtPZDM5/J5hiy2uHw2HXhEDikJVqbKZBE55htWq1inK5jE6ng3A4jFarhWaz2TcGjVX9dos+WEEfAgr4auE07gsGg9J44dChQ9KpZWxsTIpVyExr7a3TV7W/SyHXOe+8lp4kBqWL8tycVNiUgoQYu8vQlNaCr6vedDouzw+smOS6vLTdbouP7jiOcAokFkOhkAguW0bzGqxs63Q6khZLdl5bP/o++74Lhtys374qrKCvARf76wlHAXBVpzUaDRQKBQDLSSDJZBIAXGEqChoAeZFpUmuhp5DrcegEFW1e6/FpwdRVYZw4dDmsDstpMpCaXZ8bWInX6+NoouvUWFog4XBYXAZ2zaGFQtKRSUV0Ixia7Ha7qFQqfd/HII5D99e3GAwr6EOgXx4KkfYTqRETiQQ6nY7L102lUmLGskpMp5ySTSfrreu5dazaW1zCbdoK8E4+HDc/y6QV3cddJ9jweF2zDkDMbR6nj9dJKhRS7UJEo1EXy89nwYgDJ55EIoFQKCQZc41GQ2LutAQ0BhGXg0KdFm5YQV8Dq2XG8f9oNIpwOIy5uTkUCgXJRiOhRAElY639bmpyb6abjrN7/Xpv3N5LmnE/ta432YUZeGTI6/U6YrEYgsEg6vW69LCjhtcCrTkBPhs+C2+O+6CJURN5dA24Qk2lUhFB5yIS8Xhc/u77LpyVe7ICvjYs6z4Eg7SHBpn2dDrtYrSpvYCVeDb9Y3ZurdfrIuBes3yQ/61BbTjIl9aC7RVIb6Vaq9XC7Oys5JwzBq7Nb13qqsema+QBuCaiXq+HRqOBSqUixSrVahW1Wk2KdnSBDqv46Mc3m01JI2btvpd09N6fFfbhsBp9HdCCppsxsN7cGCNmLs1qprBqkos+udcX18LCc3t9do7DG9f2uhfe47Tpz3RanpPalKY8Jw1aEBKvVlGBQc/FSzB6STo9CXnvt9frIRwOi0Bzu+60w0aYOotv0D1brA4r6BuAJsG4XlksFkOxWJSstUgkglwuh3Q6LZqdZrT2pyk4fIG1UA/yuflCa626mnbzbmMqKt0KvS+bzYpPTrLQW0Xm9cn1+AdpVX2/vD8m1egMPh2eJEnJPAKa7yzX7Wt8oeVdmfEWg2EFfR3Q/qYm4TKZDILBoPiXgUAAExMT2Lx5s5jpxhgpE6UJz/ZNWvvpohZvtht/945HTwD01/VkoX1tAGIS62KTUqkk6aesTtMLQ/B6hK5w804umhTT9+T3+yURRk9S+vdAIIBgMCgsfrPZRCKRkAo+b0879xdkY+hrwQr6OqFfMsZ/k8lkX0/1ZDIpKarAysqjunRUh7q8abFa0zOnXGszHdoiBml8nk9fhxMSTeJut4u5uTk0m01MTk4im826SEKe2xvq09f1Fv54rQ3HcaSSjRV37FlPLc78eZ6v2WyiWq0ik8nIMlFMnuF9ea/lODYddhisoL8JUEOFw2FZc5xmO7uiepcJBtwlqXxJdY84grF1nmcQm63PSXfCcRxXFxjt5wPLPj2FPRaLCfFWrVaxsLAg4SwSZl4NDcA1aemac4ITgzcsx3Gy82uz2ZRqPoYo5+bmXIk+nU4HkUhEzHdtnXjdG4vhsIK+QfBFplZcWFiQ1UipfQC4tLBOTgEgZB0zxXQWnPZvSdxxIvBqcy18XvN5taQaABKyIvmWSqWkGQU1p3dRCGbP6fvSOQC8xqAmEHRTfL7lFltTU1PyXDhmpuLqdN92u+0qt6XlxGvJhGdd8zVhBX0IRDiclewrx1lu6JBMJiWMREELhUKuOm+awNRImnHWBJQ2gZnUQq0K9HdD1WYysKLd6PszIYfast1uu0xfmufcT4KO19TkYCQSQTwel7p2prZSqHUDC52YQ0GkSU4NzQIYWiucxMLhMOLxOGq1GoCV7jssfPGW4QLWL98IrKCvAW/4iqmb7Oaq10TTpaA6OYUan4KlGz7UajVXIgpNVx060+avbj6h/VNghbAjEUjyq1qtinBzXPyM1tQcNzU6M9j04hN6ZRWd/EOB5We95+M90VfntbU7Q7KSGYPlclnSZkOhkDTBWPlC3P9b1n11WEEfApdpaFbMdgoS0zYp6PTPdXGI9pUdx5E0U69f7k04GTSW1Ugxb8YaBYb+LS0PmsrU2LwuJwstqFxsgeucT09PS9daMvJ6UgDcTTl0yA6AZOP5fCuNKLUbQkuGmrtarSISiQAA4vE4isWi2/e32nxDsIK+AXg1t870SiaTrh7tXkJqUMKJLiDRySA6z10LH8NPejLw5qzzh2w/yTxqWJ1Tr4k1HTZjjXo+n0e73ca+ffswOjoqronW6IQ3eqAtG56fCTvcri2WcrkszTX0pBcKhTAyMoKFhQUXiemqVHNsnvtasII+DKLQHVkRhGWX9IeZxppIJITJHpRMov8fFG/WL7431dR7XYajtEDwGFoc1OS1Wg3z8/Oo1WqikXWTSL1oojEG9Xpd8vZ5/kqlglqthlgs5vK/eS9ak+txa25Ca3Fv2S3JvlgshpmZGQkBMoEmnU5LW63V8t5tt5nhsII+DHxvnBXNxL5vZK7px5IZ1ua3tyjEGx6jptYEHbUft+t2ybFYTHxXYIXZ18KjzWFqdmAlLEZ/mSY0x0yfvFQqoVwuCyvPMdMF0VV4GvqajrPcvJLCyXvVBJ73c1yHbX5+3mWF1Ot1ZDIZsSZ4Lv7vOM6Kj27p91VhBX0DoOAYY1xNEvlSa5OY5BOwIny6BFULNP/W5BS3seyVfd/YT63RaLjYcQoYBcQ7wXBMFDJt4rNxZLVadYXeCE0geq0P7d9rd4IZeDqnQB8LQMhMXfijswIBiHsUi8Ukb8HLYXjZeIt+WEHfAOifZ7NZ6dlGQdfmPH9oTmuCTud9U2joT2tWnaa0nhjoo7PPmi6c4XHeWDfgLj6hNtfpsuFwGIlEQlJPGQbTySm6uSPPqf/W19GTQqPRQLlclhh4Op1GMBgU8k0nA5FVp5XBEBs5kEQigVKp5OIDLNYHK+jrAAWJbZgdx5H+ZgDEBOaLOagpI7BCnLFX2mrmL4C+CjLtq8diMRmXFkBOJBR2Lp80yNzWmlaH3ahhtdb0WiheIdc5+163hDkHZOs1y67PRz6BEw+wHNcPBoPSpdbbaVbfC2CZ+GGwgr4O6KSOdDotvjNfykEmp+7iQrNch6N4Th2eA/prrLVZ6jX19eIJXg2nz68nGl0OyuwzpvAy+UcLOoWfk4KOEGiB11EDhvO4PRgMSpcdx3FEm3e7XZdlowWZz5Pj48SoQ4nePAKL1WEFfZ3QJjdj4XpVUfZNo9DS3zbGCMOtX062dNIamy83M9toZutQm/ZxW62W9FUjc+31zROJBMbGxtBqtYRLoBYng89z6waWvCYA12Sh3QA+Fx1K431SkBkJ4GSn+Q09wQGQtlK6fRTNfwCSPKPvD7CafD2wgj4EXm3K8E6lUhHhDgQCoonIytNf5ouofU7Hcfo6wmrh4Q9JMs1Wa8Zad6xhMgwnAh7j9y/3lSd/wHOyuq5Wq0nOvTe2Tm6BwshSW03G0UXQExCThLzxfk1k0vRmpELzCplMRtwfRhIYX+f5dZTBYn2wgr4GKIR6NRKSbsBy44bx8XHXUkSanQYg/ifJPB02434KzuzsLDqdDiYnJ6W9EoWw0+m4eqhzkmFGGd0CCr2ub9dCzn28L32v3giBjuF7w1peYk4n6PA4DS2cOkdAcwNTU1MIh8M4cOCAhC+5VBPHocdrSbn1wQr6EGizmiEj+p/dbhfRaBSjo6Oy9LAOjWlTHVjWSnxRvaa6Po4vvjdrTWebEYFAQFZnJWlVr9dlQmGHGybJUCCpHTkBsGjEm5ZKjcxxe10H7avrSYC+OP92ZbSpyVD72LxOIBBALpdDuVyWSY8tuPR59POywr42rKAPgdZcfLnZKbXT6SCdTsviid6XUBNkjuMgk8mI8GrmmdqdyGazACDmtp4U9LrqusdbOp2WMlO9TyfFaKKMxKLjrOTe0/XQYUDNKXhTZb2VdYQ20b2f97pCuiOsPi+XmF5YWJC2UsBKPN8K98ZhBX0NaD+VPjrN02g0KhpaC7cmz7TW03FsCrieRPjy0k0gMUUzXcfLCWprmu1cLUXXxZMjcJzlVVQ068/P6XJVbZKTFNTrlns1vrY0eF4vecffddIOn6UWdE5O7BfHuL7jOFLWq0OWFuuDFfQh0NqUwkICi6E1vry6o4w23XViChl6Ci5Nbt2AgbFnTiLetFFdvqq1vDFGPkfyjP43rQOSXUwt5aKIZOG1O8Hz85p6LXatxVcLcXkF3EtqsriFabXaNOf4Kei93vICEVrQdSaexdqwgr4OkMhi62Htj/J/r0+tq8p0+AmAmKyhUEgEneaz/tFaV7PiXlaf5i7XeqPg0qWg1eE4DuLxuKzG2mw2MTc3h1qtJgKmU2R5f+12WxpCaCuFExaP1xOQ7pWnLQGG+DgJ6UUsvH63doU4EXhdjOUPHI1v/Z0FK+hDoH109h7XzRap5SiQ3tRMTRp5c8z5cjOMRdeAfrc2n/VY9IKIPFc0GkUul5NS0na7jWq1ilQqJX54pVKReDSwvGRSOp1GqVRyZfh53Qi6GzoxR8e+OalwrPo+eI86vZcWB49nnF3nAJAwpPVDQfeShpoDWP7gkfrm33mwgj4E1Ch8EdniiS8hzUrtW+qXl2Ej3QdNL6yoSTDtd2tB1vFo7ctygQMuS9zrLXd5jUaj4qfrDDPmlzNaUC6XUalUXKZwPB5HOBxGpVJx+d5cKomcgu4npxl2PgcKJHPmdS08hZzcAbDcw67VaonV1Ov1UCgUZCVYTRAOWthi5cEd1dfh5xpW0IeAGlO/nNQyXpNYV6RpzaY/R41KskyXiFLgtDnuDanxxWbtdi6Xk4nE7/cLcUcBcxxHhEWTc5yASHQ1m02EQiGpkOP1OVZjjFgEDCXqaIEWdPrWulGGjjRQy+u0XOYZcFu73cbS0pKLZ+B9uybE5YbuloVfB6ygDwEFbVBGVjgcRiqVcvVw0yQRCzI4GdBM50uus9j4AvNl9fqrFJpoNCqMfCAQkKqwaDSK8fFx5PN5lwVAoW80GrK6KU3/Wq2G2dlZlEolIbp0BxiOgxOGXt9cWyiE9vE18aZdGloADAN2u12Ew2G5L4KNJNl8gryIl/hjswkr5GvDCvoa0FqUQq3DXLqYg8dTwLSpC7g7qvBYzU7TnKdm14Uf7EnH63HC4LJQ9Xodfr8f6XQafr8fpVJJJiqaz9VqVcg6YwxmZmYk77xer2NkZERaP9M35zg7nQ7K5TKSyeTA+LiOIFDb66o2r6/PY5hIpLvnsuss3RoAkuGnE3o0f7G84Si+CD/nsII+BJpF1mQc4G6qqNlhnavu7eems9N0kYomtHS5K60AAKKZAcj6aLqHG5db0uf0+Xyymimz+lqtFkZGRuDz+bC4uIg33nhDLINKpSL96huNhssX7/V6KJfLIqQ07XmMN9pALkOThuQZOBlooTfGiGAzpt9oNFz3zxVf+EwJneBjMRhW0IeAL6jWKppF5jaapHyp6e/ypdTrqen/9TpoOiRGAdfsO5N1yPRT2EulEuLxODKZjBBZ9MtJyHEM0WgUyWRSCmF0FIGda2jCs4ON1t71eh3NZlPy/QlaDTrWr1eb0Vl8fK66+k0X5GjOQ7s+DHFqbe4tCrJYHVbQh8AbHtMmtza79YKJJJC0kOoiD52WSpMcgNRha+KMAqPDcfRxyYKn02lZfzyTyQBYbr/EdlBslkGzmUsizc/Pu5pnABBSLhaLoVAouGLZ2jqgwGlBo0Yn8UirRvMbnDhoxlOgaYloXoKTlI6pDxJsK+TrgxX0IdAvHk1KzYwDK40ZKKAk3rhog67BBiBJLDoBBoBUqQHuvus05ZmTTo1M9r/ZbIqfzTg1zfNwOIx8Pi994LjmWTAYRCqVkrXO6MNTAGOxmMTB9WTF+DxJMp1CO6jfnS6X1aw7r0NznXwENb/f70cmk0GhUJB6e71W3KDvZ/mXI/wCvINgBX0NaFNSm47MatOJLDqZhsxyNBp1aWa+2FqQmE/Oa/BvwN09lYSchg6tLS0tIZFISLiKQhGLxSR7jpMWmy7yXvx+vyy3xMo3/q21baVSQS6Xc41R184DkOfizbLjc+C4aPn0ej2USiVZu4519IFAQCYm3WhyUB2/4zhW0IfACvoaoKDXajVXDJcvn+7ZRrOVAk3WnNqQgswcefqlNMm1aUu/30toAe5SUE4YFFz2lKvX6yiVSohGo5KcMjY2hng8jqWlJbzxxhsolUrC6ofDYQQCAVkRhYKufWJqXoYHdRiNCTvBYBDxeNwVO6cGJ5+hNT7Hz/i8Jjl14w2Shfq8Nn6+fti1Z4eALxQZbwq1fkk1EVWv13Ho0CEsLi7KC6iTZfiiU3gBSA05ACk1ZV45zX6asuFwWLLy6OOzyo3JKex6k0qlpAKMfjAJvP379+PQoUMSP2cBDRl3xuw1R6HDhrqNNX9o1nOiIqegu+LynriQhHZVuJwVXRI9sXFZZWp/r3BbP31tWI0+BDrfm0UoZKo1waRLLElI8W9N2umEmGazKeYvX3qSXcwn9/v94i97uQBeR08efv/ymmlsRc1+6CMjIzDGYG5uTuLplUoF9XodyWRSJhC6EbRIdHhN+8OD8gYCgYDU5uvkGB6jnxew0guu1WpJNp5eBYaTFj+r/XpdtaaF3PaOWx1W0IfAGx8HIEkrhBbySCSCzZs3A4DLzNeJJdqHpybkObTm0wJGph1YYef1ecmK00UAlhtY0Bdnnn61WpWqNV6LiTJ6UjLGiGYnqajdCl6bz4itpRne01aAzh3QE0S328XS0hJ6vZ5oc7oYPp8P5XJZkn54Xr308yCz3a7UsjqsoA+BfrF1ooeOpwMrWoVai9so2LqTin45mS9Pn5fbqE1ZGMJr8eVmcoxueqGFktdMJBJoNpv4v//7PzmvZvDpV3PSYZILhYvxdB1O1PFu3qfmJvSPrswjV8H76HQ6rsYdFGJOkOVy2TVRAHBZCNZc3xisoA+BV5vrkBETQnRuuCafaFKzaQOJM+6nOcpsMH0dpobqZY28mWjGLDeRCAQCOHToEGq1mhBxjUYDc3NzKJVKKBaL+NGPfoR8Po8TTjgBuVzOpRUZjtMWAS2EaDSKYrEoxxpjpFEjt1FojTEu31uz63x2OqxIHgGAtJzm5MZOu5FIRIi6ZDIpwj/IT7cYDivow+Cs5HlTK8diMem82mw2kUwmXckcOkuODDWLN/REoE1zaklNYulQlde3ZZiM5aZkx0kMApBIQbfbxcTEhBBzFCrdrkq7D9oySCaTqNfrqFQqIshjY2OIRCKyxJIWPO3Xc8HERqOB6elpRCIRl1XAz+lsPybOLC0tSQtqluMmEgksLS3ZFlJvElbQh4A+n64I02GmxcVFpNNpyWTT5rp3bTFqK/6us+ooxFpTMQWUtd0krihI7XYbc3NzqNfrIhDJZBKpVKpvBRe2pE4kEqhUKmi1WuLDAysrtjAmz3uNRqOYmppCsVhEq9VCJpPB6OioRB8ouJqPAJYno1gshkQi4Qob6mWm+De1PiMH9Xodhw8flmfo9/ulyIXkI8fM/22YbW1YQV8D9EHr9Tqq1aqkiJbLZczNzSGbzWJsbMzFrHtTNLV/r8NunBi4fBETSEhuxeNxESKGoLRfzoUbUqkUfD4f0uk0kskkZmdnXcQVyT/ei96uiTJaEt4EHjay4Iqxun+cFjCGIeni6Go4WkA6G1AXuegyVd5/rVaT5B02/dCTg37e1m8fDivoQ6DNaTLfuoqt2Wzi8OHDUiqq68zJJNPE1SmjWth0hhnj1xQ4ali+3No33rRpkyTGcO00ZpixgIXCzvRR1p6zwSVDhjqhRSesUKBIGlLre/PS+TvJPPrpnKRojXhJRZrxuu88G1yyEQVdl2q16jqH/o4s1oYV9HVAJ4FEIhHRtJ1OB/l8HvPz8zj++ONFSOiPRyIRV98zbbbq0J2uOmP3GKZ/AitLOun8cLaRIjvO5Jdut4vR0VGJQXOttWw2C7/fj6WlJVSrVVc1mS544SSk4/Q6hKctDB1f19l8AIRU4zl4Hl26q60IgvkDhUIBjrO8dhz5Bv0sjTHLcXOnf0UYi37YzLgh0H6g1nq6vNRxHNGoOrymTUnv7zrMZIyRFV/oi3e7XVe3U8a0WUrKPnGlUknqxlnswngzQ3CZTEYy3qjleQ3tO+teeFprkivwkn36GfF+tCWg89q5j9l8uo2Wnhx0mJJj4LPQCTM6vMccGavZh8Nq9HWALxxNR/ZW036vbrtEIdHkE31wr3msSTnd852fZ3YcE0moFbUQJZNJEW5aAdrUJ79QLpdFYHSxinYleF2OQzP+Oo9AWyf6fgC3htVmuvbF9bFM6aVAM8JBco41A9p0N2alXxxhM+NWhxX0IdDmNcNAjUYD2WwWiUQC+XwezWZTzErd/cTn84kFQHOVqaYsPuFLyko3Tigkz0hGFYtF8VfD4TA6nY4UrDAHvFAoAFgWRm1hdLtd5PN5F5Glc/Yp8Jo551j4o1N+9TiBlUYafF4kH7WJrXkIYCX5SN+vjmyQ0BsbG8PU1JT0lfcmKlmsH1bQ1wGat7oCiww0tQ+1L01yXYlFrakLNrQgMvuMoBalQFLQp6amkE6nhfVmWSeJKqa8LiwsIJ1Oi3YkB6BDWQBc/nQ0GhUh4/1qaGbeK2hawHVUwJuWqxOPWLCj7xlYbppRrVYRDAYxOTmJsbExuT+v5eGFTYFdHVbQh0C/VBRmpnoycUZnwAHuxRyorYBlRpoNHHVISxN9/LvZbIpw6nBSoVCQBBL687wWr8uQVjwed5W5GmNEK+p8fZakardATwq6QEenuuqkF2p8sueAO/TGa/EeaUWwAIZJQMYYFItF1Ot1JBIJmdQKhQKKxaJwCxYbhxX0dYJCzqQVXbYKuJNddFiOQkgSzFuNRo2nc9TZrqlWq0nyCQBJC2UIihlsOofe5/Mhk8n05a7rRB5qU11Ewt/pXmih1OY1oQk0lsFq18WbD+84K/3rvMkuzKhj8wzyDtFoFJVKRUJt7EOvP+vlAywGwwr6OkChoCDqhRaBlaaR1E7AiuBTg3c6HdRqNWnwoLU9wXPSJdDnpElNs5baMJ/PIxgMIplMCntOVp717STheC90GXTuvd7HiYVj0IU1PI5CFQgEXAtCAv093Xgd+uqa99D7mZsfDAYxMTEhIUZOqlqbr5agZDEYVtDXgH6RaH5Xq1XJ+X711VelWaPWnDRP2caJmV2tVsvVnx3oZ6bZ8VVr7mq1img0KimvOmmH5aYUVK671mg0ZFEHrQl1UssgUo3C3uv1UK1WXYkuwEpGHRNuGPrj+GlhcDLTZB+vrxOGqO3n5ubQbreRTqeRyWREuPXyV/p58Xf5rizrviqsoK8BraHJupfLZaRSKUxNTUnhRqVScRFyAFxrnFNYqMUSiYRsZ8gqEom4cul5ffZwpwAxz77RaEimWzqdRjgcxsjIiKTk0hzXboe2InRojULK65MVd8Wsfwqvq8D/dQmrJiEp7HoSBOBatmpxcRGLi4sAlmvpg8EgyuWy9JInGcdxD9TkVs5XhRX0IfDGhZnLXavVUKvVpHvL4uKi+JIUVr7AJKlYZEI/kyumlEoll59NoksLpRYgmtO6swxdA5/Ph3q9jsXFRVdMnw0nyF6zkkx/nqY375n5/dTUmvSj787xeLvj6kIeXoPPUdfmM2RXKpVw8OBBWWhifHxcyDmmz2orYNDkY0344bCZcUPgNQ+pTanVG40GRkZGRDsXCgVXCqmOlVNAaGaTSNMvPo9hXJ3pn/wcBYfJLzSJKYhMpCmVStIqma5GqVSSuL8206kl9YKQJL64BpruouNNsGm1WqjVanJPmq3X5r7XvWFzzXa7jYMHD0oeQCaT6SMT9aq1XgJOfz8Wq8Nq9DWgXyoKuk4jTaVSmJiYQK1Wk6IR9kDzEkbUsJVKBYVCAfF4XMg1vvSaACMJR4FjyI1MOAWLwsXMMsapSRwWi0XXhELtDLhLcAG4uASdPcf70GYzhZ5972ju6y473vx4xvA5QRUKBWmmGY1Gcfzxx8sCEoVCoY/4HPS98FpW4FeHFfR1QL9AFLB6vY5yuYxAIIBcLoe5uTkpXT3++ONdpi4ASSShr1ypVIRsA1bCd1q7U8BrtZpoQZJw9FvZ3ZXcAIWs3W6jXC6jWq0KaaatBn1POu2U5r0203UBi1fo9fPRuQa6CQUFXC/b1Ostr+X2+uuvi7WSy+UwNjaGXq8nFomOPnjDcoRst076qrCm+xrwvlDMHqtWqygWi6hWq4jFYhgdHUW328Xs7CwWFhZcxBGLOdiGiZYB87k1QUb/Ph6PSxUcBUivrqpNdj2BUNBJZAErzDYtBx0D5/1pwk53W9V57YDbAqDwadOex+j7oVankHc6HVQqFezbtw/5fB7GLFfwbdq0CeFwWPgEvfTUoO/Ey6FYrA6r0dfAoJeIpjWXQwqHw9i8eTPm5+dRKpUwMzMj7Y+9OeJMKuELTEHQSxPpJhOMmTNpRK9lrvPpAUgNPP1ygkUjAAYKJC0BnXNOISKb7g2Z8dlwm7YWeB49SfL+yCHMzMy4loTKZDIYHx8Xd4XLSA3r/OrV4DYFdnVYQV8H+EI5WCGD6DuTmU6n0xgfH5cebmyHlMvlRABpljPkpVstMxSmVw8F4Fq8oVAoSFkqBYu16Ix9U1tSIBlfZ5cYwN3dluy4rirz+uK0SMgHDCoX9eah61ViOVHQGpqZmcH8/LyrKo5luiQOddXaTx++q1rNmukbgxX0NeBKtXRWtrFqrVKpYGFhASMjI5icnMTi4qKL4eZLTK2tE1cqlQri8Tji8TgAiK/KNsv0zanhmcTCRQ69K6D0ej3R/PThWUpLc18z7hyTZux1dh+wUo+uC2N4fm1C073QWpfcgc4gXFpawuLionzGcRxks1lMTEyg3W4jn8/LhOYq9vHItWhv/jeAjbdYgfXRh2DQi2Ow0hml0WiI+c701k2bNokPXi6XMT8/L8kvAFzrrDUaDSwuLkoPdrZrojbTprExRlpNsZ0V6815HP1yJvfQgtBxbyap6EQXAK56b62tdScaZt7p9cwJHsvJhM9IN7SghUFrgmz9li1bJK+dzTS4ltwgxn8QMWcZ9+GwGn2jULJPAadmJgOfSCRQLBbR7XalYkwTWDpMVqvVcOjQIVk+iX4pzWSGnXT5J2Pw2ndloQ01K5l2x3FkTTRdOgvAZb5rjaz9bW+9OZlzNrjgNgo+E4S8nXbon1PQee1oNCr96RmipDbXfIG+X5scs3FYQR+C1Vhdb6ZcpVJBKpVCKBSSrrBc+ZNsdiQScRFiOh7e6XQwPz+PbDYr+3T7ZQCu4/XfrBrTqbfeJBfdKtkrPJp1Z2UbXQQKpdbu1OoUvEgkIiFCtn2iG6AnG4bTuN45sJwinMvl4DiOcBuMaGiLxvvc9XczaJ9FP6zpPgReM5HQGobap1QqYWFhAe12GxMTE7JOOScD+r9s6ax9X+bDM9uNfjPbK9F814w5/WoeQ3JQp85S6zLurps18p4otBRMxuV14Q2vT5eDMXnWsnPdNd16ig0wOKnUajXMzMzIGnKBQADHHXcctm/fDr/fj3w+L+a6zqDTk5H3b/09eSsBLdywGn0IvMklJOR0GEf76sViUcJq09PTeOmll0TjZ7NZAHBpaM1qk3HWPeL0GBiP13F2CnC5XEY+n5fll6l9qdU1Ceg1gSnEJPV0f3XdEop+v9e/11lvOkYfi8Xk91arhZmZGSwsLMh9Z7NZbNmyBfF4HKVSSZJ72JbLS4By7IRm3a02XxtW0IeAgqh92UHHaF89l8tJn3fma7MCi4JJ6ImE5FWhUHCVsvIaOtwGrOSk12o1qWTjPgq5LobRhJrWjMz0Y0MNfk5bMzrOrrWn9t+1SQ8sM+4c58LCAmZnZ+XzoVAImzZtQjweF2uIq7xq33z5Ia3/+7J+++qwgj4E3njy8kZIP3EHjgh6pVKRRo4ss2R3VrZCGhkZEf9Za1WmeQIQgo5hMR5LU56muuM4UotO9loTdoPi27oZBgCXoNO/1taLHqPPt7zoIs1wAK7Jg9dkq2ay+NVqVSrTODFs3rwZJ5xwAsLhMObn5yXDkKW+HNug72N555H7jo8VWEFfB7xpsDppg8LOiralpSUkEglks1mceuqpeOmllzA7O4vZ2Vnp9UZ/WBNsXtJJh8Z0qApw92Pzhri4H3AvqqCvofeTP/BOFDpOzmOZ2MNxUIPrfnc8ttVqSTpwo9GQxRsTiQR27NiBVColBSsk4pgFN4wEHTQBWE2+NqygD4H3hRsU6tErrlarVUQiESwsLCAUCiGXy2Hbtm0oFApYWFhANpuVODuFyduBRQsNc9P5t15cwetW0JRnW2jdQYafpVXA8TOUx8w39pLj/TBbTze01Gmy+n9OTHxudFu4nDOJwfHxcSSTSXE5WFmnc9qH+dzGmL5UV5sttzYs6z4EXtPdqzm8mp7aqVQqSfx8fHwck5OT6PV6mJmZQaVSEcadxBaz3pglRxNaJ7mQ2SYr7l1XnRNHsViUEJaelLwamhYCmXOG57T1oM187X9r/37QklN8HgzXMfqQSCSwefNmWTSxWCzKeFlz7rJstOA67onXawEZY2yHmSGwGn0IvP7uoG36hWOCDFlwavXt27ejUCigXC7jwIED2LFjh8SqtUbXFV6DEk40WUYm3Rtbp1lNLkAv2KDNfZKDOm+exzLHXCfPsJhG561rwdfnYK4/K9M4lsnJSekew1p5+ua6LNaLQW6KxcZgBX0IBvmEWmNpLUPwBS6Xy7LeWSwWw8TEhDRrnJ2dxZYtW1ymMl90CrFuLeXVzCTHvFVluoMrz6kFnZqVteHA8oIJxixn35GYY7xdF6bU63UZF6/N6jpev1wuo1AoSLhMV7qNjo5i69atAICFhQXMzMxISG1QcszyTQDGcWtux3GWNf0A7W3DbKvDCvoa0Jlh64ExRgSdy/+Ojo7iuOOOQ6lUwtLSEt544w34/X5s2rRJNDM1KLWjPh+bTtIH1/uBlUw7AIjH4y6tyx/dt47toHu9nvSwY128V3tSsCn0FF4KObC8ttvc3Bzm5uYk3ZakYygUQiKRwAknnIBMJoNCoYDDhw8L204XxxtqlEnWrK7J5RhPZZtFP6ygrwGvyeuC6SeAHMeReDhJrnQ6jZGREWzdulUSaA4cOIBWq4XR0VERTgAuk5qaktt1dpsWZII+sW7lBKw0l6RAU8sDkL50PJ5CTS3LbdFoFD6fT8g7Tgy0UPL5/PIj+aklwfCi3+/H1q1bMT4+jmKxKEJOV0YaR3IJZLif9bDnr0OeFsNhBX0NrBbP1S8it+n9mphbWFjAxMQENm3aJN1nms0mXn/9dZRKJUxOTkrsnQKpk12oHbWA6qQWHuNNcgHc3V5CoZB0uCELztRVTioMsTFOz8mB/r7jONL5ZnFxEXv37kW1WkUoFHKRh7FYTEjGTCYjE8Li4mKfkIs57nnm6zHFrbm+PlhBH4JBZBzRp2VEuSz7jySlisWiJJrkcjls3rxZssE6nQ6WlpZQq9WQyWSQSqVkTTeGu7zFL5q0ohAz512TYtpHB+ASKobpHMdxEW/6XIFAQPZ59/d6PRSLRezfvx/5fH6gSe84yzXwW7duhc/nw+HDh13+u17E0SWsDlyWhHcC1c/a9fy957FwwQr6EHjNxtVSYVeL3zIrji++z+dDIpHAli1bsG/fPqn9rtfrmJ+fx+LiIkKhEGKxGHK5HEZGRhAKhSRJRfdg140i+Dd9cMdxhCTjxMBmlHQT2IpKE3xaUKiZAUjbLGr4QqGAfD6PcrnsKpihSe/z+ZDNZqVghUKez+dlgltVKA1EkHW+wCDzfaP8ybEMK+jrwNB0TKxualKIqfUogKOjo+j1eti/fz8qlYoQchRiLgZRq9UwNTXlCmfR/AYgn6FfrvvS0cdm4sr8/DwSiQQymYyQaNT+1Pw6TEdWna7E3NwcFhYWXB1ZdXtnTlBsvjE9PY1AIIADBw5IqI2afE3Na1YafOhn6/XJrYCvH1bQ1wEXC/xTaC3j/Z+gxtQ12AAwMTGBsbExAMDLL78sWWUMffn9fun9ns1mpXUU20Pr4hhNoMXjcdfqqRzvwsKCdLoZHx9HLBaTfd1uF9VqVRJ3vC2hG40GZmdnpZEjM+5YUsrS1mg0imQyiS1btmBiYgK9Xg+HDx/G4uKihNFc5voaDBonKT57XUCjoVl3i9XhGOvYWFi842FTYC0sjgFYQbewOAZgBd3C4hiAFXQLi2MAVtAtLI4BWEG3sDgGYAXdwuIYgBV0C4tjAFbQLSyOAfw/eVlC9hBcBY4AAAAASUVORK5CYII=\n"
},
"metadata": {}
}
],
"source": [
"visualize_model(model_conv)\n",
"\n",
"plt.ioff()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "oGyX6XpFzhFj"
},
"source": [
"## Inference on custom images\n",
"\n",
"Use the trained model to make predictions on custom images and visualize\n",
"the predicted class labels along with the images.\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"id": "PSVIq1DLzhFj"
},
"outputs": [],
"source": [
"def visualize_model_predictions(model,img_path):\n",
" was_training = model.training\n",
" model.eval()\n",
"\n",
" img = Image.open(img_path)\n",
" img = data_transforms['val'](img)\n",
" img = img.unsqueeze(0)\n",
" img = img.to(device)\n",
"\n",
" with torch.no_grad():\n",
" outputs = model(img)\n",
" _, preds = torch.max(outputs, 1)\n",
"\n",
" ax = plt.subplot(2,2,1)\n",
" ax.axis('off')\n",
" ax.set_title(f'Predicted: {class_names[preds[0]]}')\n",
" imshow(img.cpu().data[0])\n",
"\n",
" model.train(mode=was_training)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 426
},
"id": "5vggKlbTzhFj",
"outputId": "6ba583c9-2933-4fa9-fdba-dd28ec0b5f15"
},
"outputs": [
{
"output_type": "error",
"ename": "RuntimeError",
"evalue": "ignored",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-15-112b4a2928b3>\u001b[0m in \u001b[0;36m<cell line: 1>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m visualize_model_predictions(\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mmodel_conv\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mimg_path\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'/content/drive/MyDrive/Colab Notebooks/data/44 Class 4478 Brain Tumor Images Split 0.627 Shuffle Rename/val/Astrocitoma T1C+/150 - IMG-0007-00014_big_gallery.jpeg'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m )\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m<ipython-input-14-1b5d11e5c94d>\u001b[0m in \u001b[0;36mvisualize_model_predictions\u001b[0;34m(model, img_path)\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mImage\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mimg_path\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdata_transforms\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'val'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mimg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mimg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munsqueeze\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mimg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.10/dist-packages/torchvision/transforms/transforms.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self, img)\u001b[0m\n\u001b[1;32m 93\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__call__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mimg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 94\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mt\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtransforms\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 95\u001b[0;31m \u001b[0mimg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mimg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 96\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mimg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 97\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.10/dist-packages/torch/nn/modules/module.py\u001b[0m in \u001b[0;36m_call_impl\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1499\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0m_global_backward_pre_hooks\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0m_global_backward_hooks\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1500\u001b[0m or _global_forward_hooks or _global_forward_pre_hooks):\n\u001b[0;32m-> 1501\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mforward_call\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1502\u001b[0m \u001b[0;31m# Do not call functions when jit is used\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1503\u001b[0m \u001b[0mfull_backward_hooks\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnon_full_backward_hooks\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.10/dist-packages/torchvision/transforms/transforms.py\u001b[0m in \u001b[0;36mforward\u001b[0;34m(self, tensor)\u001b[0m\n\u001b[1;32m 275\u001b[0m \u001b[0mTensor\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mNormalized\u001b[0m \u001b[0mTensor\u001b[0m \u001b[0mimage\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 276\u001b[0m \"\"\"\n\u001b[0;32m--> 277\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mF\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnormalize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtensor\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstd\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minplace\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 278\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 279\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__repr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.10/dist-packages/torchvision/transforms/functional.py\u001b[0m in \u001b[0;36mnormalize\u001b[0;34m(tensor, mean, std, inplace)\u001b[0m\n\u001b[1;32m 361\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf\"img should be Tensor Image. Got {type(tensor)}\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 362\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 363\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mF_t\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnormalize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtensor\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmean\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstd\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mstd\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minplace\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0minplace\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 364\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 365\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.10/dist-packages/torchvision/transforms/_functional_tensor.py\u001b[0m in \u001b[0;36mnormalize\u001b[0;34m(tensor, mean, std, inplace)\u001b[0m\n\u001b[1;32m 926\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mstd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 927\u001b[0m \u001b[0mstd\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mstd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mview\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 928\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mtensor\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msub_\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdiv_\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstd\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 929\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 930\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mRuntimeError\u001b[0m: output with shape [1, 224, 224] doesn't match the broadcast shape [3, 224, 224]"
]
}
],
"source": [
"visualize_model_predictions(\n",
" model_conv,\n",
" img_path='/content/drive/MyDrive/Colab Notebooks/data/44 Class 4478 Brain Tumor Images Split 0.627 Shuffle Rename/val/Astrocitoma T1C+/150 - IMG-0007-00014_big_gallery.jpeg'\n",
")\n",
"\n",
"plt.ioff()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "HtpVRKGBzhFj"
},
"source": [
"## Further Learning\n",
"\n",
"If you would like to learn more about the applications of transfer learning,\n",
"checkout our [Quantized Transfer Learning for Computer Vision Tutorial](https://pytorch.org/tutorials/intermediate/quantized_transfer_learning_tutorial.html).\n",
"\n",
"\n",
"\n"
]
}
],
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"kernelspec": {
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"name": "python3"
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"codemirror_mode": {
"name": "ipython",
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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"pygments_lexer": "ipython3",
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"colab": {
"provenance": [],
"machine_shape": "hm",
"gpuType": "V100"
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