image_digit_classification_mnist.ipynb

{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Pytorch classify MNIST digits example and experiment tracking with mlflow",
   "id": "a5fc9f127f3fd770"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-20T10:54:51.137011Z",
     "start_time": "2025-01-20T10:54:49.477178Z"
    }
   },
   "cell_type": "code",
   "source": "! pip install mlflow",
   "id": "80c2577e1fe539b7",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "execution_count": 1
  },
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-01-20T10:55:26.731793Z",
     "start_time": "2025-01-20T10:54:51.144634Z"
    }
   },
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import torchvision\n",
    "import torchvision.transforms as transforms\n",
    "import matplotlib.pyplot as plt\n",
    "import mlflow\n",
    "\n",
    "# run `mlflow ui` in terminal to view experiment results in browser\n",
    "\n",
    "# set the experiment id\n",
    "mlflow.set_tracking_uri('http://localhost:5000')\n",
    "mlflow.set_experiment(experiment_id=\"196911809555992308\")\n",
    "\n",
    "input_size = 28*28\n",
    "hidden_size = 100\n",
    "output_size = 10\n",
    "learning_rate = 0.001\n",
    "batch_size = 100\n",
    "epochs = 5\n",
    "\n",
    "mlflow.log_param(\"input_size\", input_size)\n",
    "mlflow.log_param(\"hidden_size\", hidden_size)\n",
    "mlflow.log_param(\"output_size\", output_size)\n",
    "mlflow.log_param(\"learning_rate\", learning_rate)\n",
    "mlflow.log_param(\"batch_size\", batch_size)\n",
    "mlflow.log_param(\"epochs\", epochs)\n",
    "\n",
    "train_dataset = torchvision.datasets.MNIST(root='./data', train=True, transform=transforms.ToTensor(), download=True)\n",
    "test_dataset = torchvision.datasets.MNIST(root='./data', train=False, transform=transforms.ToTensor())\n",
    "\n",
    "train_loader = torch.utils.data.DataLoader(train_dataset, batch_size=batch_size, shuffle=True)\n",
    "test_loader = torch.utils.data.DataLoader(test_dataset, batch_size=batch_size, shuffle=True)\n",
    "\n",
    "class NeurlNet(nn.Module):\n",
    "    def __init__(self, input_size, hidden_size, output_size):\n",
    "        super(NeurlNet, self).__init__()\n",
    "        self.l1 = nn.Linear(input_size, hidden_size)\n",
    "        self.relu = nn.ReLU()\n",
    "        self.l2 = nn.Linear(hidden_size, output_size)\n",
    "\n",
    "    def forward(self, x):\n",
    "        out = self.l1(x)\n",
    "        out = self.relu(out)\n",
    "        out = self.l2(out)\n",
    "        return out\n",
    "\n",
    "model = NeurlNet(input_size, hidden_size, output_size)\n",
    "criterion = nn.CrossEntropyLoss()\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)\n",
    "\n",
    "for epoch in range(epochs):\n",
    "    for batch_idx, (data, target) in enumerate(train_loader):\n",
    "        optimizer.zero_grad()\n",
    "        output = model(data.reshape(-1, input_size))\n",
    "        loss = criterion(output, target)\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        mlflow.log_metric(\"train_loss\", loss.item(), batch_idx * len(data))\n",
    "        if batch_idx % 10 == 0:\n",
    "            print(loss.item())"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "0.1718517541885376\n",
      "0.08109787106513977\n",
      "0.04042758792638779\n",
      "0.16693101823329926\n",
      "0.11123161017894745\n",
      "0.055462371557950974\n",
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      "0.09888041764497757\n",
      "0.07687251269817352\n",
      "0.05410647764801979\n",
      "0.03865606337785721\n",
      "0.09226268529891968\n",
      "0.06856325268745422\n",
      "0.1994149535894394\n",
      "0.1168520525097847\n",
      "0.05419211462140083\n",
      "0.09950491786003113\n",
      "0.06990194320678711\n",
      "0.08799376338720322\n",
      "0.11282239109277725\n",
      "0.14850379526615143\n",
      "0.025770416483283043\n",
      "0.0496177114546299\n",
      "0.09346845746040344\n",
      "0.11360318958759308\n",
      "0.08431995660066605\n",
      "0.050006765872240067\n",
      "0.03500853851437569\n",
      "0.08773313462734222\n",
      "0.0795050710439682\n"
     ]
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-20T10:55:27.023647Z",
     "start_time": "2025-01-20T10:55:26.833944Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.imshow(train_dataset[28][0].reshape(28, 28), cmap='gray')\n",
    "plt.show()\n",
    "plt.savefig(\"number_plot.png\")\n",
    "mlflow.log_artifact(\"number_plot.png\")\n",
    "\n",
    "print(train_dataset[28][1])\n"
   ],
   "id": "ab9274bb0efa0526",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-20T10:55:40.336409Z",
     "start_time": "2025-01-20T10:55:27.039697Z"
    }
   },
   "cell_type": "code",
   "source": [
    "run = mlflow.active_run()\n",
    "runId = run.info.run_id\n",
    "\n",
    "# Train your model and obtain the trained model object\n",
    "# Log the model to MLflow\n",
    "mlflow.pytorch.log_model(\n",
    "    pytorch_model=model,\n",
    "    artifact_path=f\"my-model{runId}\",\n",
    "    registered_model_name=\"my-registered-model\"\n",
    ")\n",
    "# Save the model to a file\n",
    "mlflow.pytorch.save_model(\n",
    "    pytorch_model=model,\n",
    "    path=f\"my-model{runId}\",\n",
    ")"
   ],
   "id": "92d63fc0de97b8d",
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/michal/anaconda3/lib/python3.12/site-packages/transformers/utils/generic.py:441: FutureWarning: `torch.utils._pytree._register_pytree_node` is deprecated. Please use `torch.utils._pytree.register_pytree_node` instead.\n",
      "  _torch_pytree._register_pytree_node(\n",
      "\u001B[31m2025/01/20 11:55:34 WARNING mlflow.models.model: Model logged without a signature and input example. Please set `input_example` parameter when logging the model to auto infer the model signature.\u001B[0m\n",
      "Registered model 'my-registered-model' already exists. Creating a new version of this model...\n",
      "2025/01/20 11:55:34 INFO mlflow.store.model_registry.abstract_store: Waiting up to 300 seconds for model version to finish creation. Model name: my-registered-model, version 9\n",
      "Created version '9' of model 'my-registered-model'.\n"
     ]
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-20T10:55:47.479734Z",
     "start_time": "2025-01-20T10:55:40.352843Z"
    }
   },
   "cell_type": "code",
   "source": [
    "all = 0\n",
    "correct = 0\n",
    "for i, (inputs, labels) in enumerate(test_loader):\n",
    "    predicted = model(inputs.reshape(-1, input_size))\n",
    "    all += labels.size(0)\n",
    "    for j, label in enumerate(labels):\n",
    "        if label.item() == predicted[j].argmax().item():\n",
    "            correct += 1\n",
    "\n",
    "print(f'Accuracy: {correct / all}')\n",
    "mlflow.log_param(\"test_accuracy\", correct / all)\n",
    "mlflow.end_run()\n",
    "\n",
    "for i, (inputs, labels) in enumerate(test_loader):\n",
    "    predicted = model(inputs.reshape(-1, input_size))\n",
    "    for j, label in enumerate(labels):\n",
    "        print(label.item(), predicted[j].argmax().item())\n",
    "        plt.imshow(inputs[j][0], cmap='gray')\n",
    "        plt.show()\n",
    "        if j == 10:\n",
    "            break\n",
    "    if i == 5:\n",
    "        break"
   ],
   "id": "67fc85c545d7a1d7",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 0.9697\n",
      "🏃 View run thoughtful-cow-382 at: http://localhost:5000/#/experiments/196911809555992308/runs/b7833e6f28984af0bdcb9b86f54bd7b8\n",
      "🧪 View experiment at: http://localhost:5000/#/experiments/196911809555992308\n",
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 6\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaEAAAGdCAYAAAC7EMwUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAdKUlEQVR4nO3df2yV9fn/8dehUA8th67SU7GVD0RHu8UKVKykUiU20BlmNMA0LIwuDcOBhhjM4tycncCWY5NtjeNXiqkNTiEy49hWSQaMqRGTtXMkm2iESRBbWCwV4bSldh7v7x8n7ddDT0vv03N6ndPzfCREz/t93vd9cXG3r97n3Oeux3EcRwAAGJhgXQAAIH0RQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzE60LGEphYaGCwWDEmM/nU3t7e9S5dEIfwuhDGH0Iow9hydCH/hpGImEh9NJLL6mxsVEdHR2aPXu2fvrTn+q2224b8fpgMDhkA4ebSyf0IYw+hNGHMPoQlip9SMjLcQcOHFAgEND69eu1f/9+zZ8/X2vXrtXZs2cTsTsAQIpKSAg1NTVpxYoVeuCBB3TTTTfpySef1PTp07V3795E7A4AkKLi/nJcX1+fjh8/roceeihifOHChTp27NiIt+Pz+YYcizaXTuhDGH0Iow9h9CEsGfrgZt9xD6ELFy4oFApp2rRpEeN5eXnq6OgY8XaGe1NrpG94jXf0IYw+hNGHMPoQlip9SNiFCR6PJ+Kx4ziDxobD1XFDow9h9CGMPoTRh7Bk6IPp1XG5ubnKyMjQ+fPnI8Y7OzuVl5c34u1wddzV0Ycw+hBGH8LoQ1iq9CHuFyZkZmbq5ptv1tGjRyPG3377bZWWlsZ7dwCAFJaQl+Nqamr0+OOPq6SkRKWlpXr55Zd17tw5rVy5MhG7AwCkqISE0NKlS3XhwgXt2LFDn3zyiYqKirRr1y4VFhYmYncAgBSVsAsTVq1apVWrViVq8wCAcYAbmAIAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMDMxHhvcOvWrdq2bVvEWF5eno4ePRrvXQEAUlzcQ0iSZs+eraampoHHGRkZidgNACDFJSSEMjIy5Pf7E7FpAMA4kpAQ+uijj1RRUaHMzEzNnTtXjz32mGbMmOFqGz6fb8ixaHPphD6E0Ycw+hBGH8KSoQ9u9u1xHMeJ587feOMN9fb2atasWers7NTOnTt16tQpNTc3Kzc3N567AgCkuLiH0JV6enq0ZMkS/eAHP1BNTc2I1xUWFioYDEaM+Xw+tbe3R51LJ/QhjD6E0Ycw+hCWDH3or2EkEvJy3FdlZWWpqKhIp0+fdrUuGAwO2cDh5tIJfQijD2H0IYw+hKVKHxL+OaG+vj59+OGHXKgAABgk7mdCdXV1uvvuu3X99dfr008/1c6dO9XV1aVly5bFe1cAgBQX9xD673//q8cee0yfffaZcnNzNW/ePO3bt0+FhYXx3hUAIMXFPYTq6+vjvUkAwDjFveMAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYSfgvtUPsNmzYEHXc6/VKktatW6fe3t6IuSlTpiS8rn4FBQWu1zz88MNxr+Ozzz6L+zbdmDDB/c9yX375ZdzriNaHWG8o/Otf/9r1mnPnzsW0L6Q3zoQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGY8juM41kVEM3XqVAWDwYgxn8+nS5cuRZ1Ldg899JDrNdu3bx9ybuLEifriiy8GjXs8Htf7SWUZGRkKhUKmNcTS83h/2cW7Dz09Pa7X/PKXv3S9pq6uzvWaoaTy94d4SoY+9NcwEpwJAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMDPRuoB0MWnSJNdrrnZjzHS7WSnGTlZWlus1P//5z12vmTDB/c/BgUDA9RokL86EAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmOEGpmPk1KlTrtfs378/6vjEiRN1//33q7m5WV988cUoK5P+85//xLSuqalp1PsejezsbL3zzju6/fbb1d3dbVrLWLj11lujjk+ePFmNjY166KGHdPny5Yi5FStWxLSvRYsWuV6Tm5vres1TTz3les3x48ejjk+ePFmStHTp0kF9+NOf/uR6PxgbnAkBAMwQQgAAM65DqLW1VevWrVNFRYWKi4t1+PDhiHnHcbR161ZVVFRozpw5Wr16tU6ePBm3ggEA44frEOrp6VFxcbFqa2ujzj/33HNqampSbW2tXnnlFeXl5ammpkZdXV2jLhYAML64vjBh0aJFQ75p6TiOXnjhBa1bt05VVVWSpLq6Ot1xxx1qbm7WypUrR1ctAGBcievVcW1tbero6FBFRcXAWGZmpsrKynTs2DFXIeTz+YYcizaX7Pqv3HFj4sTo/zz940PNu5WZmRnTuuzs7LjsP1b9+7euY6wMdQx5vd6I/35VrMdIMv/q+KH60D8ebT4Vv2fEKhm+T7rZt8dxHCfWHRUXF2v79u1avHixJOmf//ynvvvd7+rNN9/UddddN/C8p556SmfPnlVjY2OsuwIAjEMJ+ZzQlT9FxZJzhYWFCgaDEWM+n0/t7e1R55LdkiVLXK+prq6OOj5x4kR9+9vf1muvvRaXzwnF8hkmSXrxxRdHve/RyM7O1ptvvqm77rorLT4nNG/evKjjXq9X27dv1yOPPKLe3t6Iufvuuy+mfX311YyR+trXvuZ6TV9fn+s1NTU1UccnT56spqYm1dTUDPqc0IEDB1zvJ1Ulw/fJ/hpGIq4h5Pf7JUnnz59Xfn7+wHhnZ6fy8vJcbSsYDA7ZwOHmktWVXxQjcbWA+eKLL+ISQrF8I5CUNN/4u7u7k6aWRLraMdTb2zvoObEeH6N4gSThrtaHy5cvD3pOqn2/iIdU+T4Z188J3XDDDfL7/Tp69OjAWF9fn1pbW1VaWhrPXQEAxgHXZ0Ld3d06c+bMwOO2tja9//77ysnJUUFBgaqrq9XQ0KBZs2Zp5syZamhokNfr1b333hvXwgEAqc91CL377rsR71UEAgFJ0rJly/TMM89o7dq1+vzzz7Vp0yZdvHhRc+fO1fPPP68pU6bEr2oAwLgwqqvjEmnq1KlRL0y4dOlS1Ll0Qh/C6ENYIvqwdetW12ti+RxgLDc9bWlpiTqekZGh22+/XS0tLQqFQhFzd9xxh+v9pKpk+Lror2EkuHccAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMBMQn69N4DUtmHDBtdriouLXa+prKx0vWbu3LnDzpeUlAwau//++13vR5L++Mc/xrQOI8eZEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADPcwBTAIIsXL3a95pZbbklAJYNdc801rucLCgoSVQ5GiTMhAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZriBKYBBfvGLX7he4/f7E1DJYKFQaMi5jIyMqPM9PT2JLAmjwJkQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM9zAFBjHbr/99pjW/d///V+cK4mfjz76KOr4hAkTdNNNN+njjz/Wl19+GTG3e/fusSgNMeBMCABghhACAJhxHUKtra1at26dKioqVFxcrMOHD0fMP/HEEyouLo748+CDD8atYADA+OH6PaGenh4VFxdr+fLl2rBhQ9Tn3HnnnQoEAgOPJ02aFHuFAIBxy3UILVq0SIsWLRr2OZmZmWP2WxYBAKkrIVfHtbS0qLy8XFOnTlVZWZk2btyoadOmudqGz+cbcizaXDqhD2H0IWy4PmRnZ8e0TY/HM6qaEmnChOjvIvTX7PF4Bj0nnY6RZPi6cLNvj+M4Tqw7Ki4u1vbt27V48eKBsQMHDigrK0sFBQVqa2vTs88+q1AopFdffVWZmZmx7goAMA7F/Uxo6dKlA/9fVFSkkpISVVZW6vXXX1dVVdWIt1NYWKhgMBgx5vP51N7eHnUundCHMPoQNlwfbrvttpi2uWfPHtdrxuol+NOnT0cd93g8uvHGG3Xq1Cld+bN1aWnpGFSWHJLh66K/hpFI+IdV8/PzVVBQMOSBM5RgMDhkA4ebSyf0IYw+hEXrQ3d3d0zbGsULJAl35QdR+/W/BOc4zqDnpOPxkSpfFwn/nNCFCxd07tw55efnJ3pXAIAU4/pMqLu7W2fOnBl43NbWpvfff185OTnKycnRtm3bVFVVJb/fr/b2dtXX1ys3NzfifSMAAKQYQujdd99VdXX1wOP+zwMtW7ZMTz/9tE6cOKH9+/crGAzK7/drwYIFqq+v15QpU+JXNQBgXHAdQgsWLNAHH3ww5HxjY+OoCgIQ3a233hp1vP8y7Hnz5g16D6i5uTmmfV177bUxrRsLW7ZsiTru9Xq1a9cu1dXVqbe3d4yrQqy4dxwAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwEzCf7MqgPgoKSmJOu71eiVJ3/zmNwfdPXratGkJr2s0Ojs7Xa/597//HXW8/27i7733Xsy/URZjjzMhAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZriBKWBgzpw5rtfU1dVFHfd4PJKkzZs3y3GciLkrHyfSO++843pNZWWl6zVD3ZzU5/NJkv71r38pGAy63i5scCYEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADDcwBUappKTE9Zq//OUvrtf4/f5h5/Py8lxvM55CoZDrNUPdjBTpgzMhAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZriBKTBKjz/+uOs1V7sZqbWOjg7Xa5588skEVILxjjMhAIAZQggAYMZVCDU0NGjFihUqLS1VeXm5Hn74YZ06dSriOY7jaOvWraqoqNCcOXO0evVqnTx5Mq5FAwDGB1ch1NLSolWrVmnfvn1qampSKBTSmjVr1NPTM/Cc5557Tk1NTaqtrdUrr7yivLw81dTUqKurK+7FAwBSm6sQamxs1PLlyzV79mx94xvfUCAQ0NmzZ3X8+HFJ4bOgF154QevWrVNVVZWKiopUV1en3t5eNTc3J+QvAABIXaO6Oi4YDEqScnJyJEltbW3q6OhQRUXFwHMyMzNVVlamY8eOaeXKlSPets/nG3Is2lw6oQ9hydKHSZMmme4/ETwej+s1WVlZrtfE898uWY4Ha8nQBzf7jjmEHMdRIBDQ/PnzVVRUJOn/X9Y5bdq0iOfm5eXp7Nmzrrbf3t4e01w6oQ9h9CEsIyMjbtu67rrrXK9Jllc7OB7CUqUPMYfQ5s2bdeLECe3Zs2fQ3JU/RTmO43r7hYWFA2da/Xw+n9rb26POpRP6EJYsfdi1a5frNQ888EBca8jIyFAoFIrb9s6fP+96zZo1a1yvefPNN12vGUqyHA/WkqEP/TWMREwhtGXLFh05ckQvvviipk+fPjDe/wG88+fPKz8/f2C8s7NTeXl5rvYRDAaHbOBwc+mEPoRZ9+F///uf2b4TJZYfHL96gdJIJeLfzfp4SBap0gdXFyY4jqPNmzfr4MGD2r17t2bMmBExf8MNN8jv9+vo0aMDY319fWptbVVpaWl8KgYAjBuuzoQ2bdqk5uZm7dixQ9nZ2QPvAfl8Pnm9Xnk8HlVXV6uhoUGzZs3SzJkz1dDQIK/Xq3vvvTchfwEAQOpyFUJ79+6VJK1evTpiPBAIaPny5ZKktWvX6vPPP9emTZt08eJFzZ07V88//7ymTJkSp5IBAOOFqxD64IMPrvocj8ejDRs2aMOGDTEXBVhZv3696zWrVq1yvSaW91zGUix9+Nvf/paASjDece84AIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAICZmH+9N5DMMjIyYlpXVlYW50ps9f/6FbeOHDkS50qA6DgTAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYbmGJcmjgxtkN75syZca4kfi5evDjk3LXXXht1/qmnnoppX5cuXYppHeAWZ0IAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMcANTjEvf+973Ylq3aNGiOFcSP9XV1VHHJ0+erN///vf64Q9/qMuXL0fMnT59egwqA2LHmRAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAz3MAU49KZM2diWtfX1+d6zTXXXON6zaFDh1yvef3116OO+3w+SdJbb72lYDDoeruAJc6EAABmCCEAgBlXL8c1NDTo4MGDOnXqlLxer0pLS/WjH/1IN95448BznnjiCf3hD3+IWDd37lzt27cvPhUDAMYNVyHU0tKiVatW6ZZbblEoFFJ9fb3WrFmj1157TVlZWQPPu/POOxUIBAYeT5o0KX4VAwDGDVch1NjYGPE4EAiovLxcx48fV1lZ2cB4Zmam/H5/fCoEAIxbo7o6rv9KnJycnIjxlpYWlZeXa+rUqSorK9PGjRs1bdo0V9vuv+In2li0uXRCH8KG68NXz8yTUUZGhus1Q/17T5kyJeK/XzVhQvq87cvXRVgy9MHNvj2O4zix7MRxHK1fv16XLl3Snj17BsYPHDigrKwsFRQUqK2tTc8++6xCoZBeffVVZWZmxrIrAMA4FXMIbdq0SW+88Yb27Nmj6dOnD/m8Tz75RJWVlfrNb36jqqqqEW+/sLBw0GcefD6f2tvbo86lE/oQNlwfKisrY9rm3r17Xa+J5XNCf/3rX12vqa6ujjo+ZcoUnTx5UrNnz1ZXV1fEXHd3t+v9pCq+LsKSoQ/9NYxETC/HbdmyRUeOHNGLL744bABJUn5+vgoKCnT69GlX+wgGg0M2cLi5dEIfwqL1oaenx6iakQmFQq7XXO3fuqura9Bz0imE+vF1EZYqfXAVQo7jaMuWLTp06JB+97vfacaMGVddc+HCBZ07d075+fkxFwkAGJ9chdCmTZvU3NysHTt2KDs7Wx0dHZLCp15er1fd3d3atm2bqqqq5Pf71d7ervr6euXm5mrx4sUJ+QsAAFKXqxDqf7189erVEeOBQEDLly9XRkaGTpw4of379ysYDMrv92vBggWqr6+PeuUOACC9uQqhDz74YNh5r9c76LNEAAAMhbtoY1yK5S7VklRfX+96TXl5ues1999/v+s1Q93hu/+zQN3d3Wl5IQJSW/p8kg0AkHQIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCY4QamwFc8+eST1iUAaYUzIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYSdp7x/l8viHHos2lE/oQRh/C6EMYfQhLhj642bfHcRwngbUAADAkXo4DAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmUiqEXnrpJVVWVuqWW27R8uXL9Y9//MO6pDG1detWFRcXR/xZuHChdVkJ19raqnXr1qmiokLFxcU6fPhwxLzjONq6dasqKio0Z84crV69WidPnjSqNnGu1ocnnnhi0PHx4IMPGlWbGA0NDVqxYoVKS0tVXl6uhx9+WKdOnYp4TjocDyPpQ6ocDykTQgcOHFAgEND69eu1f/9+zZ8/X2vXrtXZs2etSxtTs2fP1ltvvTXw589//rN1SQnX09Oj4uJi1dbWRp1/7rnn1NTUpNraWr3yyivKy8tTTU2Nurq6xrjSxLpaHyTpzjvvjDg+du3aNYYVJl5LS4tWrVqlffv2qampSaFQSGvWrFFPT8/Ac9LheBhJH6QUOR6cFPGd73zHqa2tjRi75557nF/96ldGFY293/72t859991nXYapoqIi59ChQwOPv/zyS2fhwoVOQ0PDwNjnn3/uzJ8/39m7d69FiWPiyj44juP8+Mc/dtavX29UkY3Ozk6nqKjIaWlpcRwnfY+HK/vgOKlzPKTEmVBfX5+OHz+uioqKiPGFCxfq2LFjRlXZ+Oijj1RRUaHKykpt3LhRH3/8sXVJptra2tTR0RFxbGRmZqqsrCztjg0p/BNyeXm5vvWtb+lnP/uZOjs7rUtKqGAwKEnKycmRlL7Hw5V96JcKx0PS/j6hr7pw4YJCoZCmTZsWMZ6Xl6eOjg6jqsbenDlzVFdXp1mzZqmzs1M7d+7UypUr1dzcrNzcXOvyTPT/+0c7NtLtpdq77rpL99xzjwoKCtTW1qZnn31W3//+9/Xqq68qMzPTury4cxxHgUBA8+fPV1FRkaT0PB6i9UFKneMhJUKon8fjiXjsOM6gsfFs0aJFEY/nzZunJUuWaP/+/aqpqTGqKjlEOzbSzdKlSwf+v6ioSCUlJaqsrNTrr7+uqqoqw8oSY/PmzTpx4oT27NkzaC6djoeh+pAqx0NKvByXm5urjIwMnT9/PmK8s7NTeXl5RlXZy8rKUlFRkU6fPm1dihm/3y9JHBtR5Ofnq6CgYFweH1u2bNGRI0e0e/duTZ8+fWA83Y6HofoQTbIeDykRQpmZmbr55pt19OjRiPG3335bpaWlRlXZ6+vr04cffjjwhZeObrjhBvn9/ohjo6+vT62trWl9bEjhl7HPnTun/Px861LixnEcbd68WQcPHtTu3bs1Y8aMiPl0OR6u1odokvV4SJmX42pqavT444+rpKREpaWlevnll3Xu3DmtXLnSurQxU1dXp7vvvlvXX3+9Pv30U+3cuVNdXV1atmyZdWkJ1d3drTNnzgw8bmtr0/vvv6+cnBwVFBSourpaDQ0NmjVrlmbOnKmGhgZ5vV7de++9hlXH33B9yMnJ0bZt21RVVSW/36/29nbV19crNzdXixcvNqw6vjZt2qTm5mbt2LFD2dnZA+8B+Xw+eb1eeTyetDgertaH7u7ulDkePE4KvVj60ksvqbGxUZ988omKior0k5/8RGVlZdZljZmNGzeqtbVVn332mXJzczVv3jw9+uij+vrXv25dWkL9/e9/V3V19aDxZcuW6ZlnnpHjONq2bZtefvllXbx4UXPnzlVtbW3Em7TjwXB9ePrpp/XII4/ovffeUzAYlN/v14IFC/Too4/q+uuvN6g2MYqLi6OOBwIBLV++XJLS4ni4Wh96e3tT5nhIqRACAIwvKfGeEABgfCKEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGDm/wFwEZX+xM/8EgAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaEAAAGdCAYAAAC7EMwUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAeOUlEQVR4nO3df2xV9f3H8ddd5VpKL01tbwctxEalXSJSKjakUiQy7IwhS4DNkHWwdIwNXIyBTMd06QSSVYyz+oWVVMTGH0BEgiyrbEFCdFnNpERiFJ0oHbKWKqWi3LaDunK+f9y02bX3tj2Xe/u+t/f5SJp5P5/7vufT987ti3Pvued6HMdxBACAgW9ZLwAAkLoIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAICZa6wXEElBQYECgUDImM/nU3t7e9i5VEIfguhDEH0Iog9BidCHgTWMRtxCaNeuXdq5c6c6Ozs1Y8YMPfzww7rttttGXR8IBCI2cLi5VEIfguhDEH0Iog9BydKHuLwcd/DgQdXW1mrt2rU6cOCA5syZo9WrV+vs2bPx2BwAIEnFJYQaGxu1bNky/fCHP9SNN96oRx55RFOmTNGePXvisTkAQJKK+ctxfX19OnHihH7+85+HjM+bN0/Hjx8f9eP4fL6IY+HmUgl9CKIPQfQhiD4EJUIf3Gw75iF04cIF9ff3KycnJ2Q8NzdXnZ2do36c4d7UGu0bXuMdfQiiD0H0IYg+BCVLH+J2YoLH4wm57TjOkLHhcHZcZPQhiD4E0Ycg+hCUCH0wPTsuOztbaWlpOn/+fMh4V1eXcnNzR/04nB03MvoQRB+C6EMQfQhKlj7E/MQEr9erm2++Wc3NzSHjb731lkpLS2O9OQBAEovLy3HV1dV66KGHNHPmTJWWlurll19WR0eHli9fHo/NAQCSVFxC6J577tGFCxdUX1+vc+fOqaioSM8884wKCgrisTkAQJKK24kJVVVVqqqqitfDAwDGAS5gCgAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM9dYLwDJa+3ata5r6uvrY76Oixcvxuyx/vrXv7quyczMdF3z0Ucfua559tlnw45nZGRIksrKytTb2xsy995777nejiT19PREVQe4xZEQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM1zAFFH74IMPXNd88wKbozFx4sSIcx6PR47juH7MSBYtWuS6Ji0tzXXNvHnzXNf89Kc/HXb+8OHDQ8ZOnTrlejuSdPr0adc1P/rRj1zXdHZ2uq7B+MKREADADCEEADAT85fjtm7dqm3btoWM5ebmqrm5OdabAgAkubi8JzRjxgw1NjYO3o7mNXMAwPgXlxBKS0uT3++Px0MDAMaRuITQp59+qoqKCnm9XpWUlGj9+vWaPn26q8fw+XwRx8LNpZJE6cPA10ojcXk8nqjqonn1IpqvOb906ZLrmkgS5XlhLRH64GbbHieW57dKevPNN3Xp0iUVFhaqq6tL27dvV2trq5qampSdnR3LTQEAklzMQ+ibent7ddddd+lnP/uZqqurR11XUFCgQCAQMubz+dTe3h52LpUkSh8qKipc1+zbt891zVh+Tqi/v991TSK85xmpD62trVE93pkzZ1zXrFq1ynXN+fPnXddEkijPC2uJ0IeBNYxG3D+smpGRoaKiItcffgsEAhEbONxcKrHuQzQfPMXYijagownj7u5u1zXx2H+tnxeJIln6EPfPCfX19enUqVOcqAAAGCLmR0JbtmzRnXfeqalTp+qLL77Q9u3b1d3drSVLlsR6UwCAJBfzEPrss8+0fv16ffnll8rOztbs2bO1d+9eFRQUxHpTAIAkF/cTE6I1efLksCcmXLx4MexcKknmPqSnp7uuiXQUPXHiRO3cuVOrVq3Sf/7zn6tdmqTo3kNpaGhwXXPlyhXXNVlZWRHnYn2CRjT++c9/uq555JFHXNe8+uqrYceT+XkRS4nQh4E1jAbXjgMAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGC5gmIfoQlCh9GKsrxF977bVhxzMzM/Xuu++qpKRkyBfLRfsVKjfffLPrmhUrVriu6evrc13z4x//OOz4xIkTtWvXLlVVVQ25oG2ki56OR4nwvOACpgCApEAIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMHON9QKAZNfe3m66fZ/PJ0n617/+NeSqyX/4wx/GbB3l5eWua4qLi13X3H///WHH09LSJEm/+MUv1N/fHzKXSlfRTjYcCQEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADDDBUwBDJGenu66ZsKECXFYyVDTpk0LO/6tbwX/TV1QUKArV66MyVpw9TgSAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYLmALj2MBFPd168MEHXdfccMMNUW3LrT179oQd93q92rBhg1555RX19fWNyVpw9TgSAgCYIYQAAGZch1BLS4vWrFmjiooKFRcX6/DhwyHzjuNo69atqqio0KxZs7RixQp9/PHHMVswAGD8cB1Cvb29Ki4uVk1NTdj5HTt2qLGxUTU1Ndq3b59yc3NVXV2t7u7uq14sAGB8cX1iwoIFC7RgwYKwc47j6IUXXtCaNWtUWVkpSdqyZYtuv/12NTU1afny5Ve3WgDAuBLTs+Pa2trU2dmpioqKwTGv16uysjIdP37cVQj5fL6IY+HmUgl9CKIPQcP1Idqz46699tqrWlM8eb3eYcfDzafSPpIIzws3245pCHV2dkqScnJyQsZzc3N19uxZV4/V3t4e1VwqoQ9B9CEoVfqwYcOGYefXr1/vumY8Spb9IS6fE/J4PCG3Hcdx/RgFBQUKBAIhYz6fT+3t7WHnUgl9CKIPQcP1YSw/J/Twww9HtS23tmzZEnbc6/Vq/fr1evLJJ4d8Tuj3v//9WCwtISTC82JgDaMR0xDy+/2SpPPnzysvL29wvKurS7m5ua4eKxAIRGzgcHOphD4E0YegcH2INoQuX74ciyXFxUgfRO3r6xtyn1TcP5LleRHTzwlNmzZNfr9fzc3Ng2N9fX1qaWlRaWlpLDcFABgHXB8J9fT06MyZM4O329ra9OGHHyorK0v5+flauXKlGhoaVFhYqOuvv14NDQ1KT0/X4sWLY7pwAEDycx1C77//vlauXDl4u7a2VpK0ZMkSPfbYY1q9erUuX76sjRs36quvvlJJSYmee+45ZWZmxm7VAIBxweNEc9bAGJg8eXLYExMuXrwYdi6V0Icg+hA0XB8G3qd16/PPP4/F0kZ08uRJ1zXz5s0LO56ZmanTp0+rsLBwyIfju7q6olpfMkqE58XAGkaDa8cBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMzE5eu9AcReTk5O2PGBr0m57rrr5PV6Q+aeeOKJuK/ramzbts11TaQrYg98m+oXX3yR0ldVTzYcCQEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADDDBUyBqzRz5kzXNU899ZTrmgULFgw7/8knnwwZS0tLc72daD3yyCOua+rr6+OwEiQTjoQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCY4QKmGJeivXDnTTfd5LrmL3/5i+uagoIC1zUjieXFSnft2uW6pq6uznXNlStXXNdgfOFICABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBkuYIqEd91114Ud9/l8g/MTJkwImXvttdei2tbcuXOjqhsLp06dCjvu8Xh04403qrW1VY7jhMz98Y9/jGpbTz31VFR1gFscCQEAzBBCAAAzrkOopaVFa9asUUVFhYqLi3X48OGQ+Q0bNqi4uDjk5957743ZggEA44fr94R6e3tVXFyspUuX6v777w97n/nz56u2tnbw9jdfrwcAQIoihBYsWKAFCxYMex+v1yu/3x/1ogAAqSEuZ8cdPXpU5eXlmjx5ssrKyrRu3Trl5OS4eoyBM5/CjYWbSyWp1odIv2dmZmbI//6vWH7VdaLweDzDjoebv/baa6PaVjLuW6n2vIgkEfrgZtse55vndLpQXFysP/7xj1q0aNHg2MGDB5WRkaH8/Hy1tbXp6aefVn9/v/bv3y+v1xvtpgAA41DMj4Tuueeewf8uKirSzJkztXDhQr3xxhuqrKwc9eMUFBQoEAiEjPl8PrW3t4edSyWp1odInxPKzMzU+++/r5kzZ6q7uztk7pVXXolqW7fddltUdWOhtbU17LjH49ENN9wQ9nNCO3bsiGpb9fX1UdVZSrXnRSSJ0IeBNYxG3D+smpeXp/z8fJ0+fdpVXSAQiNjA4eZSSar0YaQTW7q7u4f0ob+/P55LMjHSixaO4wy5z+XLl6PaVjLvV6nyvBhJsvQh7p8TunDhgjo6OpSXlxfvTQEAkozrI6Genh6dOXNm8HZbW5s+/PBDZWVlKSsrS9u2bVNlZaX8fr/a29tVV1en7OzskPeNAACQogih999/XytXrhy8PfB5oCVLlujRRx/VyZMndeDAAQUCAfn9fs2dO1d1dXVhz2ACAKQ21yE0d+5cffTRRxHnd+7ceVULwvj27W9/23XNsWPHwo4PnJLc3Nw85L2QgoIC94uL0uuvv+665tKlS65rHn/88bDjGRkZOnTokNauXave3t6QuebmZtfbAcYS144DAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJiJ+zerYvyK9LXbw9m/f7/rmpGuiJ2fn+/6MSP5xz/+4bpm8eLFrmu+/vpr1zWR+Hw+ScG1J8M3aQL/iyMhAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZriAKaJWXV3tuub22293XeM4juuaY8eOua6RpFdeecV1TSwvRgqkGo6EAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmOECpojarbfe6rommouRRmPr1q1R1b344osxXgmA4XAkBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwXMMWY8ng8rmuiuejp22+/7bpmPJo8eXJUdV9//bXrmvz8/Ki25VYgEAg7npmZKUny+/2aOHFiyJzP54v7ugZ0d3e7rvn888/jsJLkwJEQAMAMIQQAMOMqhBoaGrRs2TKVlpaqvLxc9913n1pbW0Pu4ziOtm7dqoqKCs2aNUsrVqzQxx9/HNNFAwDGB1chdPToUVVVVWnv3r1qbGxUf3+/Vq1apd7e3sH77NixQ42NjaqpqdG+ffuUm5ur6urqqF4nBQCMb65CaOfOnVq6dKlmzJih73znO6qtrdXZs2d14sQJScGjoBdeeEFr1qxRZWWlioqKtGXLFl26dElNTU1x+QUAAMnrqs6OGzhLJSsrS5LU1tamzs5OVVRUDN7H6/WqrKxMx48f1/Lly0f92OHOZhkYG8szXRJRovThmmsS9+TKSZMmRVVn3dNoDLc/RPv7RHN23MDZafEW6WzJge2HW8dYrS1a//tq0tVKhL8PbrYd9V8Rx3FUW1urOXPmqKioSJLU2dkpScrJyQm5b25urs6ePevq8dvb26OaSyWp0oeRTusON//OO+/EazkJK1X2h5G8++671ktICMmyP0QdQps2bdLJkye1e/fuIXPf/KMQzec8CgoKhnwewOfzqb29PexcKkmUPjz77LOua+69917XNcPtPx6PJ+z8nDlzXG9Hkj755JOo6iwNtz+M5eeEpk6dGtW23Bruc0LvvvuuSkpKhrwHneifEzp37lzMtp8Ifx8G1jAaUYXQ5s2bdeTIEb300kuaMmXK4Ljf75cknT9/Xnl5eYPjXV1dys3NdbWNQCAQsYHDzaUS6z7897//Ndv2SHp6eqKqS+b9Ktz+EM2Hg6XoQmis/tCP9Ee+u7t7yH2i7UM0ogmheOx31n8fRsvViQmO42jTpk06dOiQnn/+eU2fPj1kftq0afL7/Wpubh4c6+vrU0tLi0pLS2OzYgDAuOHqSGjjxo1qampSfX29Jk2aNPgekM/nU3p6ujwej1auXKmGhgYVFhbq+uuvV0NDg9LT07V48eK4/AIAgOTlKoT27NkjSVqxYkXIeG1trZYuXSpJWr16tS5fvqyNGzfqq6++UklJiZ577rmEPzsFADD2PE40Zw2MgcmTJ4c9MeHixYth51JJovRh0aJFrmv279/vuma4f8BEOjHh9OnTrrdzNXWW0tLSdMcdd+hvf/ub+vv7Q+aivahoNKcMz549O6ptudXR0RF23OPxaOrUqero6BiyT0R70sSpU6dc14Q7WWskv/vd71zXRJIIfx8G1jAaXDsOAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGAm6q/3Bg4fPuy65sEHH3Rd8/jjj0eci3Sl4MLCQtfbuZo6t6L5ps+RLng/f/78aJcTE+fPn3ddc+zYMdc1n3/+edjxCRMmqKqqSkeOHBnyzbDRrE2SNm3a5LommiuQpzKOhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJjxOCNdFdFIuAtT+nw+Xbx4MeJFK1NFqvWhqKgo7PikSZP0zjvv6NZbb1VPT0/I3He/+92otrVs2TLXNW1tba5r3nvvPdc1ubm5Yce9Xq/Wr1+vJ598Un19fSFzV65ccb0dSfrTn/7kuuazzz5zXXPmzBnXNZGk2vMikkTow8AaRoMjIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAHacBOXz+RxJIT8+ny/iXCr90Af6QB/oQyL3YWANo8GREADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzFzj5s4NDQ06dOiQWltblZ6ertLSUv3qV7/SDTfcMHifDRs26NVXXw2pKykp0d69e2OzYgDAuOEqhI4ePaqqqirdcsst6u/vV11dnVatWqXXXntNGRkZg/ebP3++amtrB29PmDAhdisGAIwbrkJo586dIbdra2tVXl6uEydOqKysbHDc6/XK7/fHZoUAgHHLVQh9UyAQkCRlZWWFjB89elTl5eWaPHmyysrKtG7dOuXk5Lh6bJ/PF3Es3FwqoQ9B9CGIPgTRh6BE6IObbXscx3Gi2YjjOFq7dq0uXryo3bt3D44fPHhQGRkZys/PV1tbm55++mn19/dr//798nq90WwKADBORR1CGzdu1Jtvvqndu3drypQpEe937tw5LVy4UE8++aQqKytH/fgFBQWDR1oDfD6f2tvbw86lEvoQRB+C6EMQfQhKhD4MrGE0ono5bvPmzTpy5IheeumlYQNIkvLy8pSfn6/Tp0+72kYgEIjYwOHmUgl9CKIPQfQhiD4EJUsfXIWQ4zjavHmzXn/9db344ouaPn36iDUXLlxQR0eH8vLyol4kAGB8chVCGzduVFNTk+rr6zVp0iR1dnZKCh56paenq6enR9u2bVNlZaX8fr/a29tVV1en7OxsLVq0KC6/AAAgebkKoT179kiSVqxYETJeW1urpUuXKi0tTSdPntSBAwcUCATk9/s1d+5c1dXVKTMzM3arBgCMC65C6KOPPhp2Pj09fchniQAAiIRrxwEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzFxjvYBIfD5fxLFwc6mEPgTRhyD6EEQfghKhD2627XEcx4njWgAAiIiX4wAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgJmkCqFdu3Zp4cKFuuWWW7R06VIdO3bMekljauvWrSouLg75mTdvnvWy4q6lpUVr1qxRRUWFiouLdfjw4ZB5x3G0detWVVRUaNasWVqxYoU+/vhjo9XGz0h92LBhw5D949577zVabXw0NDRo2bJlKi0tVXl5ue677z61traG3CcV9ofR9CFZ9oekCaGDBw+qtrZWa9eu1YEDBzRnzhytXr1aZ8+etV7amJoxY4b+/ve/D/78+c9/tl5S3PX29qq4uFg1NTVh53fs2KHGxkbV1NRo3759ys3NVXV1tbq7u8d4pfE1Uh8kaf78+SH7xzPPPDOGK4y/o0ePqqqqSnv37lVjY6P6+/u1atUq9fb2Dt4nFfaH0fRBSpL9wUkSP/jBD5yampqQsbvvvtt54oknjFY09v7v//7P+f73v2+9DFNFRUXO66+/Pnj7ypUrzrx585yGhobBscuXLztz5sxx9uzZY7HEMfHNPjiO4/z617921q5da7QiG11dXU5RUZFz9OhRx3FSd3/4Zh8cJ3n2h6Q4Eurr69OJEydUUVERMj5v3jwdP37caFU2Pv30U1VUVGjhwoVat26d/v3vf1svyVRbW5s6OztD9g2v16uysrKU2zek4L+Qy8vL9b3vfU+//e1v1dXVZb2kuAoEApKkrKwsSam7P3yzDwOSYX9I2O8T+l8XLlxQf3+/cnJyQsZzc3PV2dlptKqxN2vWLG3ZskWFhYXq6urS9u3btXz5cjU1NSk7O9t6eSYG/v8Pt2+k2ku1d9xxh+6++27l5+erra1NTz/9tH7yk59o//798nq91suLOcdxVFtbqzlz5qioqEhSau4P4fogJc/+kBQhNMDj8YTcdhxnyNh4tmDBgpDbs2fP1l133aUDBw6ourraaFWJIdy+kWruueeewf8uKirSzJkztXDhQr3xxhuqrKw0XFl8bNq0SSdPntTu3buHzKXS/hCpD8myPyTFy3HZ2dlKS0vT+fPnQ8a7urqUm5trtCp7GRkZKioq0unTp62XYsbv90sS+0YYeXl5ys/PH5f7x+bNm3XkyBE9//zzmjJlyuB4qu0PkfoQTqLuD0kRQl6vVzfffLOam5tDxt966y2VlpYarcpeX1+fTp06NfjES0XTpk2T3+8P2Tf6+vrU0tKS0vuGFHwZu6OjQ3l5edZLiRnHcbRp0yYdOnRIzz//vKZPnx4ynyr7w0h9CCdR94ekeTmuurpaDz30kGbOnKnS0lK9/PLL6ujo0PLly62XNma2bNmiO++8U1OnTtUXX3yh7du3q7u7W0uWLLFeWlz19PTozJkzg7fb2tr04YcfKisrS/n5+Vq5cqUaGhpUWFio66+/Xg0NDUpPT9fixYsNVx17w/UhKytL27ZtU2Vlpfx+v9rb21VXV6fs7GwtWrTIcNWxtXHjRjU1Nam+vl6TJk0afA/I5/MpPT1dHo8nJfaHkfrQ09OTNPuDx0miF0t37dqlnTt36ty5cyoqKtJvfvMblZWVWS9rzKxbt04tLS368ssvlZ2drdmzZ+uBBx7QTTfdZL20uHr77be1cuXKIeNLlizRY489JsdxtG3bNr388sv66quvVFJSopqampA3aceD4frw6KOP6pe//KU++OADBQIB+f1+zZ07Vw888ICmTp1qsNr4KC4uDjteW1urpUuXSlJK7A8j9eHSpUtJsz8kVQgBAMaXpHhPCAAwPhFCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADDz/8Elo1cq9D5HAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4 4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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izqUS+hDWWR+mTp3q6z7Xrl3rXJMInxNKS0uLuo97773X1/1t3Ljxq26p2/G4CEuEPrTuoSvi/mHV3Nxc5eXl6cCBA051oVCowwZ2NpdK6ENYtD6cOXPGaDeJ5ezZs77qkvm44nERlix9iPvnhI4dO6bDhw8rNzc33ksBAJKM85nQqVOndPDgwbaf6+vrtXfvXmVlZSkrK0vLly9XaWmpgsGgGhoaVFVVpezs7IjXjQAAkHyE0AcffKBZs2a1/dz6eaCpU6fqySef1L59+7RlyxaFQiEFg0GNHz9eVVVVGjhwYOx2DQDoEZxDaPz48frwww87nF+9evVX2hBwsUceeSTqeN++fSVJP/rRj3Tu3LmIuZ/97Ge+1vLzJoN//OMfzjVlZWXONXPnzo063qdPH82ePVsvvviizp8/HzH39NNPO68jSXv37nWuef/9932thdTGteMAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGbSvET4buIoBg0aFPXrvU+cOBF1LpUkcx8WLFjgXPPkk092ONe3b992V9CWwleW9uP3v/+9c80dd9zhXHP8+HHnmo6+GHLgwIH6+OOPNXLkSJ08eTJizs/vI0n9+vVzrikqKnKuieXxm8yPi1hKhD607qErOBMCAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABgprf1BpC8Hn30UeeaiooK55pLXYw02nxNTY3zOpI0b94855ozZ874WsvVkSNHOl2/sbGx3QUry8vLfa21c+dO55r77rvPuWbJkiXONehZOBMCAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghguYQlOmTPFV99Of/tS5Jj093bnm4Ycfjjret29fVVZW6rHHHtO5c+ci5l544QXndaTuuxhpdzl48KCvuv/+97/ONffff79zDRcwBWdCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzHABUx+GDh3qXNPU1ORc09zc7Fzjx3XXXeerrm/fvs4169atc66pqqqKOh4IBFRZWannnntOoVDI+X5TwZEjR3zVHT161Lnmsssu87UWUhtnQgAAM4QQAMCMUwhVV1dr+vTpKioq0oQJE3Tfffdp//79EbfxPE/Lli1TSUmJxowZo5kzZ+qjjz6K6aYBAD2DUwjt2rVLZWVl2rRpk2pqatTS0qK7775bp0+fbrvNqlWrVFNTo4qKCr3yyivKyclReXm5Tp48GfPNAwCSm1MIrV69WtOmTdOoUaP0rW99S5WVlTp06JD27NkjKXwW9NJLL2nOnDkqLS1VQUGBlixZorNnz6q2tjYuvwAAIHl9pXfHtb4jKSsrS5JUX1+vxsZGlZSUtN0mIyNDxcXF2r17t2bMmNHl+w4EAh2ORZvrTgMHDnSu8fNOt45qYt2HjIyMmNxPV/Tp08e5pqPfM1GOB2vx6EOvXu4vF6elpTnXxHLPHA9hidAHl7V9h5DneaqsrNS4ceNUUFAgSWpsbJQkDR48OOK2OTk5OnTokNP9NzQ0+JpLJcnYB5c/RLpak4x9iIdk7MOJEydifp/J2Id4SJY++A6hRYsWad++fVq/fn27uYv/IvI8z/n+8/Pz2332IxAIqKGhIepcdxoyZIhzzeeff+5c09mZUCz78MQTT/iqmz9/vnPNpk2bnGvuvffeqOOJcjxYi0cf/vznPzvXtD4j4uLb3/62c01HOB7CEqEPrXvoCl8htHjxYr311lt6+eWXI/4PORgMSgp/0C03N7dtvKmpSTk5OU5rhEKhDhvY2Vx38PN0nJ/9XuopvFj1obs+FCtJ58+fd6651O9ofTwkilj24cKFC841fv7YjMe/G8dDWLL0wemJX8/ztGjRIm3btk1r167VsGHDIuYvv/xyBYNB7dixo22sublZdXV1Kioqis2OAQA9htOZ0MKFC1VbW6sVK1ZowIABba8BBQIBZWZmKi0tTbNmzVJ1dbVGjBih4cOHq7q6WpmZmZoyZUpcfgEAQPJyCqENGzZIkmbOnBkxXllZqWnTpkmSZs+erXPnzmnhwoU6fvy4xo4dqzVr1vh6CgsA0LM5hdCHH354ydukpaVp3rx5mjdvnu9NJbrDhw9bbyGmvvvd73bbWq+++mq3rQU5vxbb6uJ3uHZFS0uLr7WQ2rh2HADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADAjO+v90bP8dvf/tZX3bXXXutc87Wvfc3XWlDEtxX/r9avSQkGg+rXr1/E3C9/+Utfa/n5CvtPPvnE11pIbZwJAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMMMFTKE33njDV93999/vXPPEE08411xzzTVRx/v06SMpfJHO8+fPR8w99NBDzutIUnNzs3NNenq6c01+fr5zTU1NTafrr1mzRi0tLRFz//d//+e8jiSdOHHCueb73/++r7WQ2jgTAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYCbN8zzPehPRDBo0SKFQKGIsEAjoxIkTUedSSaL0YfTo0c41a9asca4ZN25ch3O9evXShQsX2o03NDQ4ryNJ77//vnNNTk6Oc811113nXNOZjvpw/PhxX/c3e/Zs55pXX33V11qxkiiPC2uJ0IfWPXQFZ0IAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDM9LbeAJLXBx984Fzzne98J2brt14k8bLLLuOClfQBSYozIQCAGUIIAGDG6em46upqbdu2Tfv371dmZqaKior08MMP65vf/GbbbRYsWKDXXnstom7s2LHatGlTbHYMAOgxnEJo165dKisr01VXXaWWlhZVVVXp7rvv1u9+9zv179+/7XbXX3+9Kisr237u06dP7HYMAOgxnEJo9erVET9XVlZqwoQJ2rNnj4qLi9vGMzIyFAwGY7NDAECP9ZXeHdf6TpysrKyI8V27dmnChAkaNGiQiouLNX/+fA0ePNjpvgOBQIdj0eZSCX0Iow9h9CGMPoQlQh9c1k7zPM/zs4jneZo7d65OnDih9evXt41v3bpV/fv3V15enurr6/Xss8+qpaVFmzdvVkZGhp+lAAA9lO8QWrhwod555x2tX79eQ4YM6fB2R44c0eTJk/XMM8+otLS0y/efn5/f7jMPgUBADQ0NUedSCX0Iow9h9CGMPoQlQh9a99AVvp6OW7x4sd566y29/PLLnQaQJOXm5iovL08HDhxwWiMUCnXYwM7mUgl9CKMPYfQhjD6EJUsfnELI8zwtXrxYb775pn79619r2LBhl6w5duyYDh8+rNzcXN+bBAD0TE4htHDhQtXW1mrFihUaMGCAGhsbJYVPvTIzM3Xq1CktX75cpaWlCgaDamhoUFVVlbKzs3XTTTfF5RcAACQvpxDasGGDJGnmzJkR45WVlZo2bZrS09O1b98+bdmyRaFQSMFgUOPHj1dVVZUGDhwYu10DAHoEpxD68MMPO53PzMxs91kiAAA6wrXjAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmeltvoCOBQKDDsWhzqYQ+hNGHMPoQRh/CEqEPLmuneZ7nxXEvAAB0iKfjAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAmaQKoXXr1mny5Mm66qqrNG3aNL333nvWW+pWy5YtU2FhYcR/EydOtN5W3NXV1WnOnDkqKSlRYWGhtm/fHjHveZ6WLVumkpISjRkzRjNnztRHH31ktNv4uVQfFixY0O74uPPOO412Gx/V1dWaPn26ioqKNGHCBN13333av39/xG1S4XjoSh+S5XhImhDaunWrKisrNXfuXG3ZskXjxo3T7NmzdejQIeutdatRo0bpT3/6U9t/b7zxhvWW4u706dMqLCxURUVF1PlVq1appqZGFRUVeuWVV5STk6Py8nKdPHmym3caX5fqgyRdf/31EcfHCy+80I07jL9du3aprKxMmzZtUk1NjVpaWnT33Xfr9OnTbbdJheOhK32QkuR48JLE9773Pa+ioiJi7NZbb/V+9atfGe2o+y1dutS7/fbbrbdhqqCgwHvzzTfbfr5w4YI3ceJEr7q6um3s3Llz3rhx47wNGzZYbLFbXNwHz/O8H//4x97cuXONdmSjqanJKygo8Hbt2uV5XuoeDxf3wfOS53hIijOh5uZm7dmzRyUlJRHjEydO1O7du412ZePTTz9VSUmJJk+erPnz5+uzzz6z3pKp+vp6NTY2RhwbGRkZKi4uTrljQwr/hTxhwgTdcsstevzxx9XU1GS9pbgKhUKSpKysLEmpezxc3IdWyXA8JOz3Cf2vY8eOqaWlRYMHD44Yz8nJUWNjo9Guut+YMWO0ZMkSjRgxQk1NTVq5cqVmzJih2tpaZWdnW2/PROu/f7RjI9Weqr3hhht06623Ki8vT/X19Xr22Wf1gx/8QJs3b1ZGRob19mLO8zxVVlZq3LhxKigokJSax0O0PkjJczwkRQi1SktLi/jZ87x2Yz3ZpEmTIn6++uqrdfPNN2vLli0qLy832lViiHZspJrbbrut7X8XFBRo9OjRmjx5st5++22VlpYa7iw+Fi1apH379mn9+vXt5lLpeOioD8lyPCTF03HZ2dlKT0/X0aNHI8abmpqUk5NjtCt7/fv3V0FBgQ4cOGC9FTPBYFCSODaiyM3NVV5eXo88PhYvXqy33npLa9eu1ZAhQ9rGU+146KgP0STq8ZAUIZSRkaErr7xSO3bsiBh/9913VVRUZLQre83Nzfr444/bHnip6PLLL1cwGIw4Npqbm1VXV5fSx4YUfhr78OHDys3Ntd5KzHiep0WLFmnbtm1au3athg0bFjGfKsfDpfoQTaIeD0nzdFx5ebkeeeQRjR49WkVFRdq4caMOHz6sGTNmWG+t2yxZskQ33nijhg4dqs8//1wrV67UyZMnNXXqVOutxdWpU6d08ODBtp/r6+u1d+9eZWVlKS8vT7NmzVJ1dbVGjBih4cOHq7q6WpmZmZoyZYrhrmOvsz5kZWVp+fLlKi0tVTAYVENDg6qqqpSdna2bbrrJcNextXDhQtXW1mrFihUaMGBA22tAgUBAmZmZSktLS4nj4VJ9OHXqVNIcD2leEj1Zum7dOq1evVpHjhxRQUGBHn30URUXF1tvq9vMnz9fdXV1+uKLL5Sdna2rr75aDzzwgK644grrrcXVzp07NWvWrHbjU6dO1VNPPSXP87R8+XJt3LhRx48f19ixY1VRURHxIm1P0FkfnnzySd1///365z//qVAopGAwqPHjx+uBBx7Q0KFDDXYbH4WFhVHHKysrNW3aNElKiePhUn04e/Zs0hwPSRVCAICeJSleEwIA9EyEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDM/D/zzZCXS1pS3QAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 6\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaEAAAGdCAYAAAC7EMwUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAfYElEQVR4nO3df3BU5fn+8StEYkiypJFshEQ+xFoSUQQiMjQllspgigx1BqgWS8GmSAu0arGt2h+mBuxEOqUpBWEijSkqUBik1CJ1/EHREZ0Sp3Q6AiMOFDCBTkJE2BAhGs73j/0m0yWbkHPYzZ3Nvl8zjOZ59t7n4c5JLnb37NkEx3EcAQBgoJ/1BgAA8YsQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJi5wnoDncnJyVEgEAgZ8/l8qqurCzsXT+hDEH0Iog9B9CGoN/ShbQ/dEbUQWr9+vaqqqtTQ0KDhw4frZz/7mW655ZZu1wcCgU4b2NVcPKEPQfQhiD4E0YegWOlDVJ6O27Fjh8rLy7Vw4UJt27ZNY8eO1fz583X8+PFoLAcAiFFRCaHq6mrNnDlTd911l6677jr9/Oc/1+DBg7Vx48ZoLAcAiFERfzqupaVF+/bt03e/+92Q8QkTJmjv3r3dvh+fz9fpWLi5eEIfguhDEH0Iog9BvaEPbtaOeAidOnVKra2tGjRoUMh4ZmamGhoaun0/Xb2o1d0XvPo6+hBEH4LoQxB9CIqVPkTtxISEhISQrx3H6TDWFc6O6xx9CKIPQfQhiD4E9YY+mJ4dl5GRocTERJ08eTJkvLGxUZmZmd2+H86OuzT6EEQfguhDEH0IipU+RPzEhKSkJN14443avXt3yPjbb7+tgoKCSC8HAIhhUXk6rqSkRA8//LBGjhypgoICbdq0SSdOnNCsWbOisRwAIEZFJYSmTp2qU6dOafXq1aqvr1deXp6efvpp5eTkRGM5AECMitqJCbNnz9bs2bOjdfcAgD6AC5gCAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwE7ULmAKWEhMTPdWNGDHCdU1paanrmpkzZ7quueeee8KODxgwQJI0Y8YMffLJJyFzmzdvdr0O0JN4JAQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMMNVtNEnzZ0711Pd2rVrI7yT8BzHcV0zbNiwsONXXnmlJGno0KE6f/78Ze0L6Gk8EgIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGC5ii18vNzQ07npaWJil4Yc+mpqaQucceeyza27osVVVVrmtWrFgRdtzn82np0qVas2aNAoHA5W4N6FE8EgIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGC5ii13vxxRfDjvfrF/w31J/+9CdduHAhZG7YsGGe1nIcx3XN66+/7rrmiSeecF3T0tLS5XhLS0untwF6Kx4JAQDMEEIAADMRfzpu5cqVWrVqVchYZmamdu/eHemlAAAxLiqvCQ0fPlzV1dXtXycmJkZjGQBAjItKCCUmJsrv90fjrgEAfUhUQujo0aMqKipSUlKSRo8erYceekhDhw51dR8+n6/TsXBz8STe+tB2Flxn453N9xQvj/TbPprcjc6+3/F2PHSGPgT1hj64WTvB8XJOahfeeOMNnTt3Trm5uWpsbNSaNWt0+PBhbd++XRkZGZFcCgAQ4yIeQhdrbm7W7bffrvvuu08lJSXdrsvJyVEgEAgZ8/l8qqurCzsXT+KtD++8807Y8X79+mnEiBE6cOBAh/cJjRgxwtNaXn4cdu3a5brm/vvvd11TW1sbdjzejofO0Ieg3tCHtj10R9TfrJqSkqK8vDwdOXLEVV0gEOi0gV3NxZN46cPFARNu/lK3iabW1lbXNU1NTa5rLvW9jpfj4VLoQ1Cs9CHqT6a3tLTo0KFDnKgAAOgg4o+Eli1bpttuu01DhgzRRx99pDVr1qipqUnTp0+P9FIAgBgX8RD673//q4ceekgff/yxMjIyNGbMGG3evFk5OTmRXgoAEOMiHkIVFRWRvkv0IU8++aTrmuuvv77L+by8PK/b6WD//v2ua772ta+5ruFCo0AQ144DAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABgJuofaoe+q7i42HXNT37yk4jvIzExscNYfX29p/uaNWuW6xouRgp4xyMhAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZrqINz6ZMmeK6xnGciO8j3H0uX77c033t37//crcDwAUeCQEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADDDBUzh2Q033NAj6xw9ejTseEJCgq699lodO3asw0VMt2zZ0hNbw//Izc11XXPkyJGI7wOxhUdCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzHABU6ioqMhT3ZAhQyK8k/CWLl0adjw5OVlr1qzRr3/9a507dy5kri9eGPPGG28MO56amipJGjFihM6ePRsyt379ek9rXXxB2O7IzMx0XfPmm2+6rrnvvvvCjg8YMKD9v5999lnI3CeffOJ6HfQMHgkBAMwQQgAAM65DqKamRgsWLFBRUZHy8/P12muvhcw7jqOVK1eqqKhIo0aN0pw5c/TBBx9EbMMAgL7DdQg1NzcrPz9fpaWlYefXrl2r6upqlZaWasuWLcrMzFRJSYmampoue7MAgL7F9YkJEydO1MSJE8POOY6jZ599VgsWLFBxcbEkadmyZfrSl76k7du3a9asWZe3WwBAnxLRs+Nqa2vV0NAQcrZVUlKSxo0bp71797oKIZ/P1+lYuLl4Euk+pKSkeKrr169nXlJMTk7ucjzcfF88RtrOgutsPNy81++Rl7PjEhISXNdccYX7X0GdfW/T0tJC/nu568Sq3vB70s3aCY6Xo+3/y8/P11NPPaXJkydLkv75z3/qnnvu0Ztvvqmrr766/XaPPfaYjh8/rqqqKq9LAQD6oKj88+DifxF5ybmcnBwFAoGQMZ/Pp7q6urBz8STSfSgsLPRUt3z5ctc1I0aMcF3zgx/8IOx4cnKyKioqtHjx4g7vE/L6/pjerLPepaamaufOnZo0aVKH9wn94Q9/8LSWl5/ZQYMGua7ZvXu365r7778/7HhaWpoOHTqk6667rsNr0PH0PqHe8HuybQ/dEdEQ8vv9kqSTJ08qKyurfbyxsdH1G9kCgUCnDexqLp5Eqg/Nzc2e6i5cuHDZa3fHxQETbv7i2/TF4+PigAk3f/FtvH6PvISQl5qL31TaHZf63jY1NXW4TTyFUJtY+T0Z0Sf1r7nmGvn9/pB/3bS0tKimpkYFBQWRXAoA0Ae4fiR09uxZHTt2rP3r2tpaHThwQOnp6crOztbcuXNVWVmp3NxcDRs2TJWVlUpOTta0adMiunEAQOxzHULvvfee5s6d2/51eXm5JGn69Ol68sknNX/+fJ0/f15lZWU6ffq0Ro8erWeeeSbsGSsAgPh2WWfHRdPAgQPDnphw5syZsHPxJNJ9WLdunae62bNnX/ba3ZGdnR12vKsXouvr63tia5Kk3Nxc1zUvvvii65r/+7//63QuPT1dp0+f7jDu9TTdXvprQZL0t7/9Lez4FVdcoSlTpujll1/u8FpTWVmZp7XeffddT3WWesPvybY9dAfXjgMAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmInKx3sjtlz8cezRrovUOm3jCQkJEdvLF7/4Rdc1Xj6iOhrCXTG7Xz9v/87sqU/N9WLq1KldzhcXF3cY+8pXvuJprTvuuMN1zVtvveVprXjFIyEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmuIAp5DhOj9V5udjn6dOnw463XWTzzJkzCgQCIXPp6emu15Gk5557znWN1/651dDQEHY8ISFBV199tRoaGjrsZdOmTZ7Wevfddz3VufXAAw+4rrn55pu7nA/3/UhJSXG9jiRt27bNdc1dd93luubvf/+765q+gkdCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzHABU/So//znP65rzp07F3a8f//+7fMX3+a+++5zvzlJ1157rac6t9555x3XNffff3/Y8dTUVL311luaOXOmzp49GzL3r3/9y8v2eszrr7/uuubb3/522PErr7xSv/zlL/XEE0/o/PnzIXNPPPGEl+3pc5/7nOua2267zXUNFzAFAMAAIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM1zAFL3evffeG3Y8OTlZkvTNb36zwwVMH3vssajvq42Xi3B6ucDqhx9+GHbc5/NJkv79738rEAi4vl9LJ06ccF1TXl4edtzn8+mXv/ylli9f3qEPTU1Nnvb3wAMPuK658847XddUVFS4rjl16pTrmt6IR0IAADOEEADAjOsQqqmp0YIFC1RUVKT8/Hy99tprIfOPPvqo8vPzQ/7cfffdEdswAKDvcP2aUHNzs/Lz8zVjxoxOP2Tr1ltvDXnetu3DxwAA+F+uQ2jixImaOHFil7dJSkqS3+/3vCkAQHyIytlxe/bsUWFhoQYOHKhx48Zp8eLFGjRokKv7aDvjJ9xYuLl4Euk+9OQjVS9rtZ0F19l4uPmEhATX63iVmJjouiYtLc11TWffb34ugrrqQ2fH0KV4OY769XP/UruX791nn33W5X1ZHg9u1k5wHMfxulB+fr6eeuopTZ48uX1sx44dSklJUXZ2tmpra7VixQq1trZq69atSkpK8roUAKAPivgjoalTp7b/f15enkaOHKlJkyZp165dKi4u7vb95OTkdDjX3+fzqa6uLuxcPIl0HyorKz3VeTnhZNOmTa5r3nzzzbDjycnJ+t3vfqcf/vCHHd4ntHTpUtfrSNJVV13lumbXrl2uazp7PbUrtbW1Ycf5uQjqqg8LFizwdJ/f+973XNc0Nze7rpk2bZrrms7eJ9Qbjoe2PXRH1N+smpWVpezsbB05csRVXSAQ6LSBXc3Fk0j14dNPP43AbqK31sUBE27+4ttcxgN811pbW13XeHnz5KW+1/xcBIXrw6WOoc54OY4uXLjgusbL962vHA9Rf5/QqVOndOLECWVlZUV7KQBAjHH9SOjs2bM6duxY+9e1tbU6cOCA0tPTlZ6erlWrVqm4uFh+v191dXWqqKhQRkZGyOtGAABIHkLovffe09y5c9u/bns/0PTp0/X444/r4MGD2rZtmwKBgPx+v8aPH6+KigpPZwMBAPo21yE0fvx4vf/++53OV1VVXdaG0LfdcMMNrms6O6Gl7fTZxx9/vMNz95mZme43J+mPf/yj65qFCxe6rmlpaXFdA+9Wrlzpqe6WW25xXTN79mzXNb/61a9c1yxatMh1TW/EteMAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGai/smq6P3arkbdE3Vjx471tFZXwn1gYn19vaf7Wr58uesarojd+33jG9/wVHfzzTe7rvHyc5Gamuq6pq/gkRAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzXMAU2rp1q6e6O++803VNWlqap7W64jhOh7F169Z5uq/9+/df7nZ6lf79+3uq8/J9ysjIcF2zaNEi1zV+vz/seNvftbKyUp9++mnI3Le+9S3X60jhj61LCQQCrmu8/gz2BTwSAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYLmELbtm3zVLdp0ybXNfPmzfO0llsPPvigp7oxY8a4rjl69KjrmhdeeMF1zdixY8OOX3nllZKkH/3oRzp//nzIXHFxset1JOmqq65yXTNkyJAeWedS7r777ojdV1NTk+uap556ynXNX/7yF9c1fQWPhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJhJcBzHsd5EOAMHDlQgEAgZ8/l8OnPmTNi5eNJb+uDz+VzXlJaWuq5ZsGBBp3NpaWlhLzKZkpLieh1J6qU/DpeUmJio1tbWDuMJCQme7q+v9WH9+vWe7m/r1q2ua6wvRtobfj+07aE7eCQEADBDCAEAzLgKocrKSs2cOVMFBQUqLCzUokWLdPjw4ZDbOI6jlStXqqioSKNGjdKcOXP0wQcfRHTTAIC+wVUI7dmzR7Nnz9bmzZtVXV2t1tZWzZs3T83Nze23Wbt2raqrq1VaWqotW7YoMzNTJSUlnj4cCgDQt7kKoaqqKs2YMUPDhw/X9ddfr/Lych0/flz79u2TFHwU9Oyzz2rBggUqLi5WXl6eli1bpnPnzmn79u1R+QsAAGLXZX28d9uZF+np6ZKk2tpaNTQ0qKioqP02SUlJGjdunPbu3atZs2Z1+77DnXnVNublrKy+pLf0wcv6SUlJUdgJ0LX+/ft7qhswYIDrmt7yc2m5Dzdrew4hx3FUXl6usWPHKi8vT5LU0NAgSRo0aFDIbTMzM3X8+HFX919XV+dpLp7Qh6C0tDTrLfQKiYmJ1lvoFcL14Z577vF0X17reoNY+f3gOYSWLFmigwcPasOGDR3mLn5vgpf3HOTk5IR9n1BdXV3YuXjSW/rg5V9ajzzyiOua73znO53O8T6hIN4nFNRZHzZv3uzp/l588UXXNS+99JKntSKlN/x+aNtDd3gKoaVLl2rnzp16/vnnNXjw4PZxv98vSTp58qSysrLaxxsbG5WZmelqjUAg0GkDu5qLJ7HYh5aWFustIA59+umnnuo++eQT1zW95WcyVn4/uDoxwXEcLVmyRK+88orWrVunoUOHhsxfc8018vv92r17d/tYS0uLampqVFBQEJkdAwD6DFePhMrKyrR9+3atXr1aqamp7a8B+Xw+JScnKyEhQXPnzlVlZaVyc3M1bNgwVVZWKjk5WdOmTYvKXwAAELtchdDGjRslSXPmzAkZLy8v14wZMyRJ8+fP1/nz51VWVqbTp09r9OjReuaZZ3jxGADQARcwjUHx1oc77rgj7PiAAQP0wgsvaObMmR2eu586daqntRYuXOipzlqkT0yoqalxXXPkyBHXNS+//LLrmh07doQdT0tL06FDh3Tdddd1OFmlvr7e9Tqxqjf8fuACpgCAmEAIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAsOP0Uj6fz5EU8sfn83U6F09/6AN9oA/0oTf3oW0P3cEjIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgJkr3Ny4srJSr7zyig4fPqzk5GQVFBToxz/+sT7/+c+33+bRRx/Vn//855C60aNHa/PmzZHZMQCgz3AVQnv27NHs2bN10003qbW1VRUVFZo3b55eeuklpaSktN/u1ltvVXl5efvX/fv3j9yOAQB9hqsQqqqqCvm6vLxchYWF2rdvn8aNG9c+npSUJL/fH5kdAgD6LFchdLFAICBJSk9PDxnfs2ePCgsLNXDgQI0bN06LFy/WoEGDXN23z+frdCzcXDyhD0H0IYg+BNGHoN7QBzdrJziO43hZxHEcLVy4UGfOnNGGDRvax3fs2KGUlBRlZ2ertrZWK1asUGtrq7Zu3aqkpCQvSwEA+ijPIVRWVqY33nhDGzZs0ODBgzu9XX19vSZNmqTf/va3Ki4u7vb95+TktD/SauPz+VRXVxd2Lp7QhyD6EEQfguhDUG/oQ9seusPT03FLly7Vzp079fzzz3cZQJKUlZWl7OxsHTlyxNUagUCg0wZ2NRdP6EMQfQiiD0H0IShW+uAqhBzH0dKlS/Xqq6/queee09ChQy9Zc+rUKZ04cUJZWVmeNwkA6JtchVBZWZm2b9+u1atXKzU1VQ0NDZKCD72Sk5N19uxZrVq1SsXFxfL7/aqrq1NFRYUyMjI0efLkqPwFAACxy1UIbdy4UZI0Z86ckPHy8nLNmDFDiYmJOnjwoLZt26ZAICC/36/x48eroqJCaWlpkds1AKBPcBVC77//fpfzycnJHd5LBABAZ7h2HADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADAzBXWG+iMz+frdCzcXDyhD0H0IYg+BNGHoN7QBzdrJziO40RxLwAAdIqn4wAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgJmYCqH169dr0qRJuummmzRjxgy9++671lvqUStXrlR+fn7InwkTJlhvK+pqamq0YMECFRUVKT8/X6+99lrIvOM4WrlypYqKijRq1CjNmTNHH3zwgdFuo+dSfXj00Uc7HB9333230W6jo7KyUjNnzlRBQYEKCwu1aNEiHT58OOQ28XA8dKcPsXI8xEwI7dixQ+Xl5Vq4cKG2bdumsWPHav78+Tp+/Lj11nrU8OHD9dZbb7X/+etf/2q9pahrbm5Wfn6+SktLw86vXbtW1dXVKi0t1ZYtW5SZmamSkhI1NTX18E6j61J9kKRbb7015Ph4+umne3CH0bdnzx7Nnj1bmzdvVnV1tVpbWzVv3jw1Nze33yYejofu9EGKkePBiRFf//rXndLS0pCxKVOmOL/5zW+MdtTzfv/73zt33nmn9TZM5eXlOa+++mr71xcuXHAmTJjgVFZWto+dP3/eGTt2rLNx40aLLfaIi/vgOI7zyCOPOAsXLjTakY3GxkYnLy/P2bNnj+M48Xs8XNwHx4md4yEmHgm1tLRo3759KioqChmfMGGC9u7da7QrG0ePHlVRUZEmTZqkxYsX68MPP7Tekqna2lo1NDSEHBtJSUkaN25c3B0bUvBfyIWFhfrqV7+qX/ziF2psbLTeUlQFAgFJUnp6uqT4PR4u7kObWDgeeu3nCf2vU6dOqbW1VYMGDQoZz8zMVENDg9Guet6oUaO0bNky5ebmqrGxUWvWrNGsWbO0fft2ZWRkWG/PRNv3P9yxEW9P1X75y1/WlClTlJ2drdraWq1YsUL33nuvtm7dqqSkJOvtRZzjOCovL9fYsWOVl5cnKT6Ph3B9kGLneIiJEGqTkJAQ8rXjOB3G+rKJEyeGfD1mzBjdfvvt2rZtm0pKSox21TuEOzbizdSpU9v/Py8vTyNHjtSkSZO0a9cuFRcXG+4sOpYsWaKDBw9qw4YNHebi6XjorA+xcjzExNNxGRkZSkxM1MmTJ0PGGxsblZmZabQreykpKcrLy9ORI0est2LG7/dLEsdGGFlZWcrOzu6Tx8fSpUu1c+dOrVu3ToMHD24fj7fjobM+hNNbj4eYCKGkpCTdeOON2r17d8j422+/rYKCAqNd2WtpadGhQ4faf/Di0TXXXCO/3x9ybLS0tKimpiaujw0p+DT2iRMnlJWVZb2ViHEcR0uWLNErr7yidevWaejQoSHz8XI8XKoP4fTW4yFmno4rKSnRww8/rJEjR6qgoECbNm3SiRMnNGvWLOut9Zhly5bptttu05AhQ/TRRx9pzZo1ampq0vTp0623FlVnz57VsWPH2r+ura3VgQMHlJ6eruzsbM2dO1eVlZXKzc3VsGHDVFlZqeTkZE2bNs1w15HXVR/S09O1atUqFRcXy+/3q66uThUVFcrIyNDkyZMNdx1ZZWVl2r59u1avXq3U1NT214B8Pp+Sk5OVkJAQF8fDpfpw9uzZmDkeEpwYerJ0/fr1qqqqUn19vfLy8vTTn/5U48aNs95Wj1m8eLFqamr08ccfKyMjQ2PGjNGDDz6oL3zhC9Zbi6p//OMfmjt3bofx6dOn68knn5TjOFq1apU2bdqk06dPa/To0SotLQ15kbYv6KoPjz/+uL7//e9r//79CgQC8vv9Gj9+vB588EENGTLEYLfRkZ+fH3a8vLxcM2bMkKS4OB4u1Ydz587FzPEQUyEEAOhbYuI1IQBA30QIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMDM/wOZjcAcJ8TOLgAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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AGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCY4Qam6Pd+8IMfRG1/9NFHJUnf//739eWXX0b0vfzyywlfV5f//ve/nsfs378/ASsBkg9nQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMxwA1P0exs2bIja7vP5JElr1qyR4zgRfQ8/3Hdb+9133+2zuYCBhjMhAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZriBKfCAvvvd73oeEwwGPY+5evWq5zFAf8eZEADADCEEADDjKYRqa2s1Z84cFRUVaeLEiXrhhRd0/vz5iOc4jqP169erpKREY8aM0YIFC3Tu3Lm4LhoAMDB4CqETJ05o/vz52r17t+rq6tTZ2amFCxeqvb29+zmbN29WXV2dKisrtWfPHgWDQVVUVKitrS3uiwcAJDdPIbRlyxaVlZVp5MiR+va3v62qqio1Nzfr1KlTktyzoLfffluLFy9WaWmpCgoKVF1drZs3b6q+vj4h/wAAQPJ6oKvjwuGwJCkzM1OS1NjYqJaWFpWUlHQ/x+/3q7i4WCdPntS8efN6fexAINBjW7S+VJJqdej6Gu+e2nvq7ytpaWmexwwZMsTzmFu3bkVtT7X90BPq4OoPdfAyd8wh5DiOqqqqNH78eBUUFEiSWlpaJElDhw6NeG4wGFRzc7On4zc1NcXUl0qogysvL890/qlTp3oe87///S/u62A/uKiDK1nqEHMIrVq1SmfPntWOHTvu6rvzN1PHcTwfPzc3t/tMq0sgEFBTU1PUvlSSanXoern3Tj6fT3l5eWpsbLxrj+Xm5vbF0iRJx44d8zzmueee8zymtbU1anuq7YeeUAdXf6hD1xp6I6YQWr16tQ4fPqxt27Zp2LBh3e2hUEiS+6G67Ozs7vbW1lbPH84Lh8M9FvBefakkVepwv19iHMeJ6RedeOns7PQ8JpYLde73f50q++F+qIMrWerg6cIEx3G0atUqHTx4UFu3btXw4cMj+vPy8hQKhXT8+PHuto6ODjU0NKioqCg+KwYADBiezoRWrlyp+vp6bdy4UYMHD+5+DygQCCg9PV0+n0/l5eWqra1Vfn6+RowYodraWqWnp2vWrFkJ+QcAAJKXpxDauXOnJGnBggUR7VVVVSorK5MkLVq0SLdu3dLKlSt1/fp1jR07Vm+99VZMVwMBAAY2TyF05syZ+z7H5/Np6dKlWrp0acyLwsD1i1/8wvOYr7+/GE3Xe5Hx0NNl0PcSy41F8/Pz+2QeoL/j3nEAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADMxf703MHXqVM9jqqurPY/x+/2e+2/fvu15HkkqLy/3PGbPnj0xzQWAMyEAgCFCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmuIEpYvaPf/zD85ht27Z5HvOTn/zE85i1a9d6HiNxM1Kgr3EmBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAw3MEXMvvrqK89jFi1aFLcxgUBAX3zxhb7xjW8oHA57Pi4Ae5wJAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADAjKfvE6qtrdXBgwd1/vx5paenq6ioSL/+9a/1f//3f93PWbFihf7yl79EjBs7dqx2794dnxUDAAYMTyF04sQJzZ8/X6NHj1ZnZ6dqamq0cOFC7d+/XxkZGd3PmzJliqqqqrofDxo0KH4rBgAMGJ5CaMuWLRGPq6qqNHHiRJ06dUrFxcXd7X6/X6FQKD4rBAAMWA/09d5dX6mcmZkZ0X7ixAlNnDhRjz32mIqLi7Vs2TINHTrU07EDgUCPbdH6Ugl1cFEHF3VwUQdXf6iDl7l9juM4sUziOI6WLFmiL774Qjt27OhuP3DggDIyMpSTk6PGxkatW7dOnZ2d2rt3r/x+fyxTAQAGqJhDaOXKlTp69Kh27NihYcOG9fi8K1euaPr06Vq7dq1KS0t7ffzc3NzuM60ugUBATU1NUftSCXVwUQcXdXBRB1d/qEPXGnojppfjVq9ercOHD2vbtm33DCBJys7OVk5Oji5cuOBpjnA43GMB79WXSqiDizq4qIOLOriSpQ6eQshxHK1evVrvvfee3nnnHQ0fPvy+Y65du6bLly8rOzs75kUCAAYmTyG0cuVK1dfXa+PGjRo8eLBaWlokuade6enpunHjhjZs2KDS0lKFQiE1NTWppqZGWVlZeuqppxLyDwAAJC9PIbRz505J0oIFCyLaq6qqVFZWprS0NJ09e1b79u1TOBxWKBTShAkTVFNToyFDhsRv1QCAAcFTCJ05c+ae/enp6Xd9lggAgJ5w7zgAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgJmHrRfQk0Ag0GNbtL5UQh1c1MFFHVzUwdUf6uBlbp/jOE4C1wIAQI94OQ4AYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJhJqhDavn27pk+frtGjR6usrEz/+te/rJfUp9avX6/CwsKIP5MnT7ZeVsI1NDRo8eLFKikpUWFhoQ4dOhTR7ziO1q9fr5KSEo0ZM0YLFizQuXPnjFabOPerw4oVK+7aH3PnzjVabWLU1tZqzpw5Kioq0sSJE/XCCy/o/PnzEc9Jhf3Qmzoky35ImhA6cOCAqqqqtGTJEu3bt0/jx4/XokWL1NzcbL20PjVy5EgdO3as+8+7775rvaSEa29vV2FhoSorK6P2b968WXV1daqsrNSePXsUDAZVUVGhtra2Pl5pYt2vDpI0ZcqUiP3x5ptv9uEKE+/EiROaP3++du/erbq6OnV2dmrhwoVqb2/vfk4q7Ife1EFKkv3gJIlnn33WqaysjGibMWOGs2bNGqMV9b0//OEPzg9/+EPrZZgqKChw3nvvve7Ht2/fdiZPnuzU1tZ2t926dcsZP368s3PnTosl9ok76+A4jvPyyy87S5YsMVqRjdbWVqegoMA5ceKE4zipux/urIPjJM9+SIozoY6ODp06dUolJSUR7ZMnT9bJkyeNVmXj4sWLKikp0fTp07Vs2TJ98skn1ksy1djYqJaWloi94ff7VVxcnHJ7Q3J/Q544caKeeeYZvfrqq2ptbbVeUkKFw2FJUmZmpqTU3Q931qFLMuyHfvt9Ql937do1dXZ2aujQoRHtwWBQLS0tRqvqe2PGjFF1dbXy8/PV2tqqTZs2ad68eaqvr1dWVpb18kx0/f9H2xup9lLt1KlTNWPGDOXk5KixsVHr1q3Tc889p71798rv91svL+4cx1FVVZXGjx+vgoICSam5H6LVQUqe/ZAUIdTF5/NFPHYc5662gWzatGkRj8eNG6enn35a+/btU0VFhdGq+odoeyPVzJw5s/vvBQUFGjVqlKZPn64jR46otLTUcGWJsWrVKp09e1Y7duy4qy+V9kNPdUiW/ZAUL8dlZWUpLS1NV69ejWhvbW1VMBg0WpW9jIwMFRQU6MKFC9ZLMRMKhSSJvRFFdna2cnJyBuT+WL16tQ4fPqytW7dq2LBh3e2pth96qkM0/XU/JEUI+f1+PfHEEzp+/HhE+/vvv6+ioiKjVdnr6OjQxx9/3P2Dl4ry8vIUCoUi9kZHR4caGhpSem9I7svYly9fVnZ2tvVS4sZxHK1atUoHDx7U1q1bNXz48Ij+VNkP96tDNP11PyTNy3EVFRVavny5Ro0apaKiIu3atUuXL1/WvHnzrJfWZ6qrq/Xkk0/q8ccf12effaZNmzapra1Ns2fPtl5aQt24cUOXLl3qftzY2KjTp08rMzNTOTk5Ki8vV21trfLz8zVixAjV1tYqPT1ds2bNMlx1/N2rDpmZmdqwYYNKS0sVCoXU1NSkmpoaZWVl6amnnjJcdXytXLlS9fX12rhxowYPHtz9HlAgEFB6erp8Pl9K7If71eHGjRtJsx98ThK9WLp9+3Zt2bJFV65cUUFBgX7zm9+ouLjYell9ZtmyZWpoaNDnn3+urKwsjRs3Ti+++KK+9a1vWS8tof75z3+qvLz8rvbZs2fr9ddfl+M42rBhg3bt2qXr169r7NixqqysjHiTdiC4Vx1ee+01/exnP9N//vMfhcNhhUIhTZgwQS+++KIef/xxg9UmRmFhYdT2qqoqlZWVSVJK7If71eHmzZtJsx+SKoQAAANLUrwnBAAYmAghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJj5f+DCR10TrvO8AAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaEAAAGdCAYAAAC7EMwUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAdmklEQVR4nO3df2xV9f3H8delUGrpbVO4t4FWIvkq7RIRbFiDHXVEhp0hZg5wwsbANAIpbg5xiz/QdBb+qBizjoGwyrDTKUSG0mUdW/BH1A2z0WX8MRkBlKBrASmlwm2rVMv5/nHTZpfeW3qu9/Z9fzwfCdH7+dzPOR/e/fS+OPeec67HcRxHAAAYGGU9AQBA+iKEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGZGW08gkqKiIgUCgZA2r9ertra2sH3phDoEUYcg6hBEHYISoQ79cxiOuIXQyy+/rB07dqi9vV1Tp07VunXr9PWvf33Y4wOBQMQCDtWXTqhDEHUIog5B1CEoWeoQl7fj9u3bp7q6Oq1evVpNTU2aOXOmVq5cqVOnTsVjdwCAJBWXEGpsbNSiRYv0ve99T9dff70ef/xxTZw4Ubt27YrH7gAASSrmb8f19vbq8OHDWrVqVUj77NmzdejQoWFvx+v1RmwL15dOqEMQdQiiDkHUISgR6uBm3zEPoc7OTvX19WnChAkh7T6fT+3t7cPezlAfag33A69URx2CqEMQdQiiDkHJUoe4nZjg8XhCHjuOM6htKJwdFxl1CKIOQdQhiDoEJUIdTM+Oy8/PV0ZGhs6dOxfS3tHRIZ/PN+ztcHbc1VGHIOoQRB2CqENQstQh5icmZGZm6sYbb9SBAwdC2t977z2VlpbGencAgCQWl7fjqqqq9PDDD2vatGkqLS3VK6+8otOnT2vJkiXx2B0AIEnFJYTmz5+vzs5Obd26VWfPnlVxcbGee+45FRUVxWN3AIAkFbcTE5YuXaqlS5fGa/MAgBTADUwBAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABgZnSsN7h582Zt2bIlpM3n8+nAgQOx3hUAIMnFPIQkaerUqWpsbBx4nJGREY/dAACSXFxCKCMjQ36/Px6bBgCkkLiE0EcffaSKigplZmZqxowZeuihhzR58mRX2/B6vRHbwvWlE+oQRB2CqEMQdQhKhDq42bfHcRwnljt/55139Pnnn2vKlCnq6OjQtm3bdOLECTU3Nys/Pz+WuwIAJLmYh9CVenp6dPvtt2vFihWqqqoa9riioiIFAoGQNq/Xq7a2trB96YQ6BFGHIOoQRB2CEqEO/XMYjri8Hfe/srOzVVxcrJMnT7oaFwgEIhZwqL50Qh2CqEMQdQiiDkHJUoe4XyfU29urDz/8kBMVAACDxPxIaOPGjbrttts0adIknT9/Xtu2bVNXV5cWLFgQ610BAJJczEPozJkzeuihh/Tpp58qPz9fN998s3bv3q2ioqJY7woAkORiHkL19fWx3iQAIEVx7zgAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABgZrT1BGBv9OjolkFGRkaMZ+LO2LFjB/7b29sbk21OnDjR9ZgVK1bEZN/RyszMlCQ98cQTMatDNKqrq12P8fl8MZ/HxYsXY77NeKurq3M9Zt26dXGYycjjSAgAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZj+M4jvUkwsnNzVUgEAhp83q9unjxYti+VPT000+Hbc/MzNSaNWu0adOmQTesjObHOXfu3KjmN3PmzKjGxZLH44nq75xqqENQOtVh1KjwxxCJ8DrZP4fh4EgIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAmdHWE0BkP/7xj4fsX7Vq1aC2rKyseE0HEXz55Zeuxwz35o7D4fF4NH78eHV2dsbs5p1HjhxxPWbPnj2ux4wdO9b1mHXr1kXsy8vLC1vb3Nxc1/sZSefPn7eeghmOhAAAZgghAIAZ1yHU0tKi6upqVVRUqKSkRG+88UZIv+M42rx5syoqKjR9+nQtW7ZMx48fj9mEAQCpw3UI9fT0qKSkRDU1NWH7t2/frsbGRtXU1GjPnj3y+XyqqqpSV1fXV54sACC1uD4xYc6cOZozZ07YPsdx9OKLL6q6ulqVlZWSpI0bN+ob3/iGmpubtWTJkq82WwBASonp2XGtra1qb29XRUXFQFtmZqbKysp06NAhVyHk9XojtoXrA5KJx+NJ6O1mZGS4HhPNmW7RjElF0fzcIr0OJsLrpJt9xzSE2tvbJUkTJkwIaff5fDp16pSrbbW1tUXVl06uueYa6ykkhHi9oA/XmDFjXI8ZP358zOcRy22Wl5ePyJh4yMvLs56Ca9H87K52mn+yvE7G5TqhK18Uorl2oaioSIFAIKTN6/Wqra0tbF8q+uSTTyL2XXPNNfrss88GtafbdUIejydm18ZEK5rrhGK9fsePHx/Ta02OHj3qekxTU5PrMdEcCf30pz+N2JeXl6cLFy4Mak/064Q6Oztdj5kyZUrY9kR4neyfw3DENIT8fr8k6dy5cyooKBho7+jokM/nc7WtQCAQsYBD9QHJIJbB+b//6IvVdvv6+lyPuXTpUkz2nY6i+bld7TUwWV4nY3qd0LXXXiu/368DBw4MtPX29qqlpUWlpaWx3BUAIAW4PhLq7u7Wxx9/PPC4tbVVR44cUV5engoLC7V8+XI1NDRoypQpuu6669TQ0KCsrCzdeeedMZ04ACD5uQ6h999/X8uXLx94XFdXJ0lasGCBnnrqKa1cuVKXLl1SbW2tLly4oBkzZuj5559XTk5O7GYNAEgJHsf6U90IcnNzw56YcPHixbB9qeiWW24J256dna0333xT3/rWt9TT0xPS9+qrr47E1CRJf/7zn12PmTRpkusxH330Udj2MWPGaMWKFfrNb36jL774IqTv3//+t+v9ROvMmTOux+zduzdm+0/m34vVq1e7HvPss89G7EuEE1WiEc0JGleu+X6JsB765zAc3DsOAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGAmLl/vjdj4+9//Hrbd6/VKklpaWgbdJbeoqCju80oUXq9XK1as0EMPPZR0d49ORevXr3c95ic/+UkcZhI70ayrRx55xPWYaL7JNlVwJAQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMNzAFUti4ceOiGvfzn//c9ZiVK1e6HpObm+t6TDQuXLgQ1binn37a9Zhf//rXUe0rXXEkBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAw3MAWSRE5OzpDtOTk5chwnpG/79u1R7Wvx4sVRjRsJx44dC9s+atQoTZ06VR988IEuX74c0rdq1aqo9vXuu+9GNQ7Dx5EQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM9zAFDBwww03uB6zfv36sO2jRwd/jTdt2qQvv/wypC+Rb0QqSYcPH3Y95vbbbw/bnpOTo+PHj2v+/Pnq6uoK6Ttz5kxU80P8cSQEADBDCAEAzLgOoZaWFlVXV6uiokIlJSV64403QvofffRRlZSUhPy55557YjZhAEDqcP2ZUE9Pj0pKSrRw4UI98MADYZ9z6623qq6ubuDxmDFjop8hACBluQ6hOXPmaM6cOUM+JzMzU36/P+pJAQDSQ1zOjjt48KDKy8uVm5ursrIyrV27VhMmTHC1Da/XG7EtXF86oQ5ByVyHSF/VPZT+s+AitUfqT2SjRrn/WHo4X3N+pWRcI9FKhN8LN/v2OFd+Kb0LJSUlevbZZzVv3ryBtn379ik7O1uFhYVqbW3Vpk2b1NfXp9dee02ZmZnR7goAkIJi/k+n+fPnD/x/cXGxpk2bprlz5+rtt99WZWXlsLdTVFSkQCAQ0ub1etXW1ha2L51Qh6BkrsP111/vesy6devCto8ePVoLFizQ3r17B10ndPfdd0c1v5Fy5MgR12PuuuuusO05OTk6dOiQSktLB10n9Mknn0Q1v2SUCL8X/XMYjrgfvxcUFKiwsFAnT550NS4QCEQs4FB96YQ6BCVjHa58kRyOKwMmXP/VnpNoLl++7HrM1WrX1dU16DnJtj5iIVl+L+J+nVBnZ6dOnz6tgoKCeO8KAJBkXB8JdXd36+OPPx543NraqiNHjigvL095eXnasmWLKisr5ff71dbWpvr6euXn54d8bgQAgBRFCL3//vtavnz5wOP+64EWLFigJ598UseOHVNTU5MCgYD8fr9mzZql+vr6qM4GAgCkNtchNGvWLB09ejRi/44dO77ShIBkE81R/q5du1yPudplDtYnIUTzd1q1apXrMd3d3WHb+08L/uSTT5LisxAEce84AIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAICZuH+zKpBMamtrXY+5//77XY+52h2xY+X8+fNRjVuzZo3rMX/4wx9cj4l0R2ykD46EAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmOEGpkh448aNG7J93Lhxunz5ckjfM888E9W+7r77btdjrG9G6vF4NH78eHV2dspxnJC+H/zgB1Hta//+/VGNA9ziSAgAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZbmCKEZWdne16zLZt28K2jxkzRpJUX1+vL774IqTvhz/8ofvJjaBINyMdSqSbkWZnZ2vv3r2677771NPTE9LHjUiR6DgSAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYbmCJqWVlZrsc0NDS4HrN06dIh+xcvXux6m7H0+9//3vWYxx9/3PWYDz74IGy71+uVJL355psKBAKutwtY4kgIAGCGEAIAmHEVQg0NDVq0aJFKS0tVXl6u+++/XydOnAh5juM42rx5syoqKjR9+nQtW7ZMx48fj+mkAQCpwVUIHTx4UEuXLtXu3bvV2Niovr6+QV+ktX37djU2NqqmpkZ79uyRz+dTVVWVurq6Yj55AEBycxVCO3bs0MKFCzV16lR97WtfU11dnU6dOqXDhw9LCh4Fvfjii6qurlZlZaWKi4u1ceNGff7552pubo7LXwAAkLy+0tlx/Wfi5OXlSZJaW1vV3t6uioqKgedkZmaqrKxMhw4d0pIlS4a97f4zfsK1hetLJ4lSh2jOjuv/Su5UMnq0+1+jnJwc12Mi/bwTZT1Yow5BiVAHN/uOOoQcx1FdXZ1mzpyp4uJiSVJ7e7skacKECSHP9fl8OnXqlKvtt7W1RdWXTqhDkMfjMd3/woULR2TM1bAegqhDULLUIeoQWr9+vY4dO6adO3cO6rvyRcFxHNfbLyoqGnTNg9frVVtbW9i+dJIodYjmSGjz5s2ux9xzzz0R+zweT1TrK5b27t3resyGDRtcj/nwww/DtifKerBGHYISoQ79cxiOqEJow4YNeuutt/TSSy9p4sSJA+1+v1+SdO7cORUUFAy0d3R0yOfzudpHIBCIWMCh+tKJdR2++OKLERmT6L788kvXY6I5UedqP2vr9ZAoqENQstTB1YkJjuNo/fr12r9/v1544QVNnjw5pP/aa6+V3+/XgQMHBtp6e3vV0tKi0tLS2MwYAJAyXB0J1dbWqrm5WVu3btW4ceMGPgPyer3KysqSx+PR8uXL1dDQoClTpui6665TQ0ODsrKydOedd8blLwAASF6uQmjXrl2SpGXLloW019XVDXzQunLlSl26dEm1tbW6cOGCZsyYoeeffz6qs4EAAKnNVQgdPXr0qs/xeDx64IEH9MADD0Q9KYyssWPHRjVux44drsd8//vfj2pfI2XPnj2ux6xYscL1mGR4rx4YCdw7DgBghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABgJuqv90ZiGjNmjOsxv/3tb6Pa1+LFi6Ma59ZQd5zOzc0N29/U1BTVvn71q1+5HsMdsYHocSQEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADDcwTTHz5s1zPWakbkQarTNnzoRtHzVqlHJzc3X27Fldvnw5pO/ee+8diakB+Io4EgIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGG5gmsIyMjCHbMzIyBj1n5cqVcZ/XVxEIBFyPqa6uDtuenZ2t5uZmPfjgg+rp6fmqUwNggCMhAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZriBaQKbPXt22Pbs7GxJ0i233DLoxp3f/e534z2tAd3d3a7H3HXXXa7HvP3222HbvV6vJOndd9+N6saoAOxxJAQAMEMIAQDMuHo7rqGhQfv379eJEyeUlZWl0tJS/exnP9P//d//DTzn0Ucf1d69e0PGzZgxQ7t3747NjAEAKcNVCB08eFBLly7VTTfdpL6+PtXX1+u+++7Tn/70p4HPKSTp1ltvVV1d3cDjMWPGxG7GAICU4SqEduzYEfK4rq5O5eXlOnz4sMrKygbaMzMz5ff7YzNDAEDK+kpnx/WfkZSXlxfSfvDgQZWXlys3N1dlZWVau3atJkyY4Grb/Wc+hWsL15eK/vfoMlx7pP5EFs2cI/280209REIdgqhDUCLUwc2+PY7jONHsxHEcrV69WhcvXtTOnTsH2vft26fs7GwVFhaqtbVVmzZtUl9fn1577TVlZmZGsysAQIqKOoRqa2v1zjvvaOfOnZo4cWLE5509e1Zz587VL37xC1VWVg57+0VFRYOu/fB6vWprawvbl4qGuk7o1Vdf1aJFiwZdJ7Rv376RmJqk6K4TWrx4sesxf/3rX8O2p9t6iIQ6BFGHoESoQ/8chiOqt+M2bNigt956Sy+99NKQASRJBQUFKiws1MmTJ13tIxAIRCzgUH2p5MqACdd/teckmmjme7Wfdbqsh6uhDkHUIShZ6uAqhBzH0YYNG/T666/rd7/7nSZPnnzVMZ2dnTp9+rQKCgqiniQAIDW5CqHa2lo1Nzdr69atGjdunNrb2yUFD72ysrLU3d2tLVu2qLKyUn6/X21tbaqvr1d+fr7mzZsXl78AACB5uQqhXbt2SZKWLVsW0l5XV6eFCxcqIyNDx44dU1NTkwKBgPx+v2bNmqX6+nrl5OTEbtYAgJTgKoSOHj06ZH9WVtaga4kAAIiEu2gnsJaWlrDt/efg/+tf/xr0weMvf/lL1/t58MEHXY+RpL/85S+ux0S6IzaA9MQNTAEAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJjhBqYJ7LPPPgvbPnr06IH+K5/z2GOPud5PX1+f+8lJOnHiRFTjAKAfR0IAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMJOw947zer0R28L1pZOh6jB27FjX28vMzIxqHllZWa7HxPJnx3oIog5B1CEoEergZt8ex3GcOM4FAICIeDsOAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYSaoQevnllzV37lzddNNNWrhwof75z39aT2lEbd68WSUlJSF/Zs+ebT2tuGtpaVF1dbUqKipUUlKiN954I6TfcRxt3rxZFRUVmj59upYtW6bjx48bzTZ+rlaHRx99dND6uOeee4xmGx8NDQ1atGiRSktLVV5ervvvv18nTpwIeU46rIfh1CFZ1kPShNC+fftUV1en1atXq6mpSTNnztTKlSt16tQp66mNqKlTp+pvf/vbwJ8//vGP1lOKu56eHpWUlKimpiZs//bt29XY2Kiamhrt2bNHPp9PVVVV6urqGuGZxtfV6iBJt956a8j6eO6550ZwhvF38OBBLV26VLt371ZjY6P6+vp03333qaenZ+A56bAehlMHKUnWg5Mk7r77bqempiak7Y477nCeeeYZoxmNvF/96lfOd77zHetpmCouLnZef/31gceXL192Zs+e7TQ0NAy0Xbp0yZk5c6aza9cuiymOiCvr4DiO88gjjzirV682mpGNjo4Op7i42Dl48KDjOOm7Hq6sg+Mkz3pIiiOh3t5eHT58WBUVFSHts2fP1qFDh4xmZeOjjz5SRUWF5s6dq7Vr1+q///2v9ZRMtba2qr29PWRtZGZmqqysLO3WhhT8F3J5ebm+/e1v64knnlBHR4f1lOIqEAhIkvLy8iSl73q4sg79kmE9JOz3Cf2vzs5O9fX1acKECSHtPp9P7e3tRrMaedOnT9fGjRs1ZcoUdXR0aNu2bVqyZImam5uVn59vPT0T/T//cGsj3d6q/eY3v6k77rhDhYWFam1t1aZNm3Tvvffqtddei/o7oxKZ4ziqq6vTzJkzVVxcLCk910O4OkjJsx6SIoT6eTyekMeO4wxqS2Vz5swJeXzzzTfr9ttvV1NTk6qqqoxmlRjCrY10M3/+/IH/Ly4u1rRp0zR37ly9/fbbqqysNJxZfKxfv17Hjh3Tzp07B/Wl03qIVIdkWQ9J8XZcfn6+MjIydO7cuZD2jo4O+Xw+o1nZy87OVnFxsU6ePGk9FTN+v1+SWBthFBQUqLCwMCXXx4YNG/TWW2/phRde0MSJEwfa0209RKpDOIm6HpIihDIzM3XjjTfqwIEDIe3vvfeeSktLjWZlr7e3Vx9++OHAL146uvbaa+X3+0PWRm9vr1paWtJ6bUjBt7FPnz6tgoIC66nEjOM4Wr9+vfbv368XXnhBkydPDulPl/VwtTqEk6jrIWnejquqqtLDDz+sadOmqbS0VK+88opOnz6tJUuWWE9txGzcuFG33XabJk2apPPnz2vbtm3q6urSggULrKcWV93d3fr4448HHre2turIkSPKy8tTYWGhli9froaGBk2ZMkXXXXedGhoalJWVpTvvvNNw1rE3VB3y8vK0ZcsWVVZWyu/3q62tTfX19crPz9e8efMMZx1btbW1am5u1tatWzVu3LiBz4C8Xq+ysrLk8XjSYj1crQ7d3d1Jsx48ThK9Wfryyy9rx44dOnv2rIqLi/XYY4+prKzMelojZu3atWppadGnn36q/Px83XzzzVqzZo1uuOEG66nF1T/+8Q8tX758UPuCBQv01FNPyXEcbdmyRa+88oouXLigGTNmqKamJuRD2lQwVB2efPJJ/ehHP9J//vMfBQIB+f1+zZo1S2vWrNGkSZMMZhsfJSUlYdvr6uq0cOFCSUqL9XC1Onz++edJsx6SKoQAAKklKT4TAgCkJkIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGb+H56ltuq0ZqbjAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3 3\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 6\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4 4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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6e/bscMuJe42NjWGtO3XqVIQrAULjTAgAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZbmCKsK1evdq6BDzB0qVLw1q3f//+CFcChMaZEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADPcwDTODB061PWaM2fORKGS0JKTI/9zTzS2GW0NDQ2u1yxYsCDkeM+ePbV7927NnTtXd+/eDZr74IMPwqoP6Cqx9+oFAMQNQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZriBaZxZtGiR6zUPHz6MQiWR01F9ycnJ5vW/8847rtccPnzY9Zr2bkbq9XolSYcOHZLf73e9XcASZ0IAADOEEADAjKsQqqys1KxZs5Sfn6/CwkItWbJE58+fD3qO4zhav369ioqKNGrUKM2bN0/nzp2LaNEAgPjgKoROnDihuXPnas+ePaqqqlJLS4sWLFigpqamtuds2bJFVVVVKi0t1d69e5WZmamSkhLduXMn4sUDAGKbqxDaunWrZs6cqWHDhumZZ55ReXm5rly5olOnTkkKnAW99957WrRokYqLi5Wbm6u1a9fq3r17qq6ujspfAAAQu57q6rjWK3HS09MlSbW1taqvr1dRUVHbczwejwoKCnTy5EnNmTOn09tuveIn1FiouUTSUR88Hk9Xl5PwevTo4XpNz549Xa9p77jndRFAHwK6Qx/c7DvsEHIcR+Xl5Ro7dqxyc3MlSfX19ZKkfv36BT03MzNTV65ccbX9urq6sOYSSaL0ITm54xP21FTbTxq89tprXbLmSRLleHgS+hAQK30I+9W7evVqnT17Vjt37nxsLikpKeix4ziut5+Tk/PYZx68Xq/q6upCziWSjvrw1ltvud7e4sWLI1XaEz0pUELp6HNAqampevDgwdOU9NS2bt3qes3Ro0ddrzl06FDIcV4XAfQhoDv0obWGzggrhNasWaOjR49q+/bt6t+/f9u4z+eTJF2/fl1ZWVlt4w0NDcrMzHS1D7/f324DO5pLJKH60NzcbFRN4vryyy9dr7l7967rNU865nldBNCHgFjpg6sfSx3H0erVq3X48GFt27ZNgwYNCpofOHCgfD6fjh8/3jbW3Nysmpoa5efnR6ZiAEDccHUmVFZWpurqam3cuFG9e/du+x2Q1+tVWlqakpKSNH/+fFVWVmrIkCEaPHiwKisrlZaWpmnTpkXlLwAAiF2uQmjXrl2SpHnz5gWNl5eXa+bMmZKkhQsX6v79+yorK9OtW7c0evRovfvuu+rTp0+ESgYAxAtXIXTmzJknPicpKUnLli3TsmXLwi4qHvXu3dv1mrKyspDjrZdhv/XWW4/9DmjJkiXui4tDFy9eDGvdX//6V9dr2vt36shXP+ANJDLuHQcAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMBP213vDneeee871muXLl3c435Vfy23p2LFjIcdTUlL0ne98Rx9//LFaWlqC5ubMmRPWvq5fvx7WOgDh4UwIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGW5girCVlpa6XnPy5EnXaz777LOQ43369NGpU6e0dOlS3blzJ2iOG5ECsYEzIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGa4gWkXOXTokOs1PXr0CDnu9Xp1+/Ztff3rX5ff73/a0mKW1+uVJF2+fDmh+wDEMs6EAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABgxtX3CVVWVurw4cM6f/680tLSlJ+fr5///Of6xje+0facVatWaf/+/UHrRo8erT179kSmYgBA3HAVQidOnNDcuXM1cuRItbS0qKKiQgsWLNA//vEP9erVq+15EyZMUHl5edvj9r6cDQCQ2FyF0NatW4Mel5eXq7CwUKdOnVJBQUHbuMfjkc/ni0yFAIC49VRf7936lcrp6elB4ydOnFBhYaH69u2rgoICrVixQv369XO17davbg41FmoukdCHAPoQQB8C6ENAd+iDm30nOY7jhLMTx3G0ePFi3b59Wzt37mwbP3jwoHr16qXs7GzV1tZq3bp1amlp0b59++TxeMLZFQAgToUdQmVlZTp27Jh27typ/v37t/u8a9euadKkSfr973+v4uLiTm8/Jyen7UyrldfrVV1dXci5REIfAuhDAH0IoA8B3aEPrTV0Rlhvx61Zs0ZHjx7V9u3bOwwgScrKylJ2drYuXLjgah9+v7/dBnY0l0joQwB9CKAPAfQhIFb64CqEHMfRmjVr9OGHH+r999/XoEGDnrjmxo0bunr1qrKyssIuEgAQn1yFUFlZmaqrq7Vx40b17t1b9fX1kgKnXmlpaWpsbNSGDRtUXFwsn8+nuro6VVRUKCMjQ5MnT47KXwAAELtchdCuXbskSfPmzQsaLy8v18yZM5WSkqKzZ8/qwIED8vv98vl8GjdunCoqKtSnT5/IVQ0AiAuuQujMmTMdzqelpT32WSIAANrDveMAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGZSrQtoj9frbXcs1FwioQ8B9CGAPgTQh4Du0Ac3+05yHMeJYi0AALSLt+MAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAICZmAqhHTt2aNKkSRo5cqRmzpyp//znP9Yldan169crLy8v6M/48eOty4q6mpoaLVq0SEVFRcrLy9ORI0eC5h3H0fr161VUVKRRo0Zp3rx5OnfunFG10fOkPqxateqx42P27NlG1UZHZWWlZs2apfz8fBUWFmrJkiU6f/580HMS4XjoTB9i5XiImRA6ePCgysvLtXjxYh04cEBjx47VwoULdeXKFevSutSwYcP08ccft/354IMPrEuKuqamJuXl5am0tDTk/JYtW1RVVaXS0lLt3btXmZmZKikp0Z07d7q40uh6Uh8kacKECUHHx+bNm7uwwug7ceKE5s6dqz179qiqqkotLS1asGCBmpqa2p6TCMdDZ/ogxcjx4MSIl19+2SktLQ0amzJlivO73/3OqKKu98c//tH5wQ9+YF2GqdzcXOfDDz9se/zw4UNn/PjxTmVlZdvY/fv3nbFjxzq7du2yKLFLPNoHx3GcX/ziF87ixYuNKrLR0NDg5ObmOidOnHAcJ3GPh0f74DixczzExJlQc3OzTp06paKioqDx8ePH6+TJk0ZV2bh48aKKioo0adIkrVixQpcvX7YuyVRtba3q6+uDjg2Px6OCgoKEOzakwE/IhYWFevHFF/XGG2+ooaHBuqSo8vv9kqT09HRJiXs8PNqHVrFwPHTb7xP6qhs3bqilpUX9+vULGs/MzFR9fb1RVV1v1KhRWrt2rYYMGaKGhgZt2rRJc+bMUXV1tTIyMqzLM9H67x/q2Ei0t2qfe+45TZkyRdnZ2aqtrdW6dev0k5/8RPv27ZPH47EuL+Icx1F5ebnGjh2r3NxcSYl5PITqgxQ7x0NMhFCrpKSkoMeO4zw2Fs8mTpwY9HjMmDF64YUXdODAAZWUlBhV1T2EOjYSzdSpU9v+Ozc3VyNGjNCkSZP00Ucfqbi42LCy6Fi9erXOnj2rnTt3PjaXSMdDe32IleMhJt6Oy8jIUEpKiq5fvx403tDQoMzMTKOq7PXq1Uu5ubm6cOGCdSlmfD6fJHFshJCVlaXs7Oy4PD7WrFmjo0ePatu2berfv3/beKIdD+31IZTuejzERAh5PB4NHz5cx48fDxr/5JNPlJ+fb1SVvebmZn3++edtL7xENHDgQPl8vqBjo7m5WTU1NQl9bEiBt7GvXr2qrKws61IixnEcrV69WocPH9a2bds0aNCgoPlEOR6e1IdQuuvxEDNvx5WUlOj111/XiBEjlJ+fr927d+vq1auaM2eOdWldZu3atXr++ec1YMAAffHFF9q0aZPu3LmjGTNmWJcWVY2Njbp06VLb49raWp0+fVrp6enKzs7W/PnzVVlZqSFDhmjw4MGqrKxUWlqapk2bZlh15HXUh/T0dG3YsEHFxcXy+Xyqq6tTRUWFMjIyNHnyZMOqI6usrEzV1dXauHGjevfu3fY7IK/Xq7S0NCUlJSXE8fCkPjQ2NsbM8ZDkxNCbpTt27NDWrVt17do15ebm6pe//KUKCgqsy+oyK1asUE1NjW7evKmMjAyNGTNGy5cv19ChQ61Li6p///vfmj9//mPjM2bM0Ntvvy3HcbRhwwbt3r1bt27d0ujRo1VaWhr0S9p40FEf3nzzTS1dulSfffaZ/H6/fD6fxo0bp+XLl2vAgAEG1UZHXl5eyPHy8nLNnDlTkhLieHhSH+7duxczx0NMhRAAIL7ExO+EAADxiRACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgJn/Ay3dV1Z9AZSAAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 6\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 6\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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ZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmkv6TVQELP/vZz+IaV1pa6nlMSUmJ5zEvvPCC5zF//OMfo7ZnZmZ2/t7x5w7t7e2e5wF6E2dCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzHAD037mnXfe8Tzm6aefjmuuL7/8Mq5xvSHeG3f++c9/9jwmnhuYzpgxw/MYv9/fbXu0/r78NQIkzoQAAIYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCY4Qam/cyNGzc8j/nggw/imuvIkSOexxw9etTzmBEjRkRtz8rKkiQtW7ZMN2/ejOgbMGCA53kk6Yc//GFc47z629/+5nlMW1tb1PbMzMzO/ljPAfoqzoQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCY4Qam/cyKFSs8j1m1alVcc/3qV7/yPGb16tVxzeV1HRkZGXEd6+4bofbEjh07PI95+eWXPY8Jh8PdtofD4ZjPAfoqzoQAAGYIIQCAGU8hVF1drfnz56u4uFhTp07VU089pbNnz0Y8x3Ecbd68WWVlZZo4caIWL16sM2fOJHTRAID+wVMINTQ0aOHChdq7d69qa2vV3t6upUuXRvwgrTfffFO1tbWqrKzUvn37lJubq4qKCl27di3hiwcApDZPIVRTU6N58+Zp7Nix+sY3vqFgMKjz58/r5MmTktyzoLffflsrV65UeXm5CgsLtWnTJt28eVP19fVJ+QsAAFLX/3R1XCgUkiRlZ2dLkpqamtTS0qKysrLO5/h8PpWWlur48eNasGBBj4/t9/tjtkXrSyeJrkPHj8lGfOL5UeJDhgzxPCbW15t/Fy7q4OoLdfAyd9wh5DiOgsGgSkpKVFhYKElqaWmRJA0bNiziubm5uTp//ryn4zc3N8fVl06ogyvey7GjiSeQFy1a1Ctj7oX94KIOrlSpQ9whtGHDBp0+fVq7du3q0nf3NwXHcTwfv6CgoPNMq4Pf71dzc3PUvnSS6DosW7YsrnHxfNYl0WddGRkZUfdXb35OaN++fZ7HvPrqq57H3H0RUAf+Xbiog6sv1KFjDT0RVwht3LhRhw8f1rvvvqvhw4d3tgcCAUnSpUuXlJeX19ne2tqq3NxcT3OEQqGYBeyuL50kqg7xfOPF/7t9+7bnMfFcqHOvrzX/LlzUwZUqdfB0YYLjONqwYYMOHjyoHTt2aNSoURH9I0eOVCAQ0LFjxzrbwuGwGhsbVVxcnJgVAwD6DU9nQuvXr1d9fb22bt2qBx54oPM9IL/fr6ysLGVkZGjJkiWqrq7WmDFjNHr0aFVXVysrK0tz5sxJyl8AAJC6PIXQ7t27JUmLFy+OaA8Gg5o3b54kafny5bp165bWr1+vK1euaNKkSXrrrbfiuhoIANC/ZTjxXDXQC4YOHRr1woSrV69G7UsnfaUOY8aM8TwmnjPiK1euRG3PysrS9u3btWLFii7va8XzPo0kffTRR57H/OMf/4hrrkTpK/vBGnVw9YU6dKyhJ7h3HADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADATNw/3hs4d+6c5zFbtmxJ2Px+v1/bt2/Xb3/727S+azKQyjgTAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmLnfy5Orq6t18OBBnT17VllZWSouLtbPf/5zfe1rX+t8ztq1a/W73/0uYtykSZO0d+/exKwYANBveAqhhoYGLVy4UBMmTFB7e7uqqqq0dOlSvffeexo8eHDn8x5++GEFg8HOxwMGDEjcigEA/YanEKqpqYl4HAwGNXXqVJ08eVKlpaWd7T6fT4FAIDErBAD0W55C6G6hUEiSlJ2dHdHe0NCgqVOnaujQoSotLdWaNWs0bNgwT8f2+/0x26L1pRPq4KIOLurgog6uvlAHL3NnOI7jxDOJ4zhatWqVrl69ql27dnW2HzhwQIMHD1Z+fr6ampr0+uuvq729Xfv375fP54tnKgBAPxV3CK1fv15Hjx7Vrl27NHz48JjPu3jxombMmKHXXntN5eXlPT5+QUFB55lWB7/fr+bm5qh96YQ6uKiDizq4qIOrL9ShYw09EdfLcRs3btThw4f17rvvdhtAkpSXl6f8/HydO3fO0xyhUChmAbvrSyfUwUUdXNTBRR1cqVIHTyHkOI42btyo999/X++8845GjRp1zzGXL1/WhQsXlJeXF/ciAQD9k6cQWr9+verr67V161Y98MADamlpkeSeemVlZen69evasmWLysvLFQgE1NzcrKqqKuXk5GjmzJlJ+QsAAFKXpxDavXu3JGnx4sUR7cFgUPPmzVNmZqZOnz6turo6hUIhBQIBTZkyRVVVVRoyZEjiVg0A6Bc8hdDf//73bvuzsrK6fJYIAIBYuHccAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMDM/dYLiMXv98dsi9aXTqiDizq4qIOLOrj6Qh28zJ3hOI6TxLUAABATL8cBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzKRVCO3fu1IwZMzRhwgTNmzdPH330kfWSetXmzZtVVFQU8WvatGnWy0q6xsZGrVy5UmVlZSoqKtKhQ4ci+h3H0ebNm1VWVqaJEydq8eLFOnPmjNFqk+dedVi7dm2X/fHEE08YrTY5qqurNX/+fBUXF2vq1Kl66qmndPbs2YjnpMN+6EkdUmU/pEwIHThwQMFgUKtWrVJdXZ1KSkq0fPlynT9/3nppvWrs2LH605/+1Pnr97//vfWSkq6trU1FRUWqrKyM2v/mm2+qtrZWlZWV2rdvn3Jzc1VRUaFr16718kqT6151kKSHH344Yn9s3769F1eYfA0NDVq4cKH27t2r2tpatbe3a+nSpWpra+t8Tjrsh57UQUqR/eCkiB/96EdOZWVlRNusWbOcV1991WhFve/Xv/6184Mf/MB6GaYKCwud999/v/PxnTt3nGnTpjnV1dWdbbdu3XJKSkqc3bt3WyyxV9xdB8dxnOeee85ZtWqV0YpstLa2OoWFhU5DQ4PjOOm7H+6ug+Okzn5IiTOhcDiskydPqqysLKJ92rRpOn78uNGqbHz22WcqKyvTjBkztGbNGv3zn/+0XpKppqYmtbS0ROwNn8+n0tLStNsbkvs/5KlTp+rxxx/Xiy++qNbWVuslJVUoFJIkZWdnS0rf/XB3HTqkwn7osz9P6L9dvnxZ7e3tGjZsWER7bm6uWlpajFbV+yZOnKhNmzZpzJgxam1t1bZt27RgwQLV19crJyfHenkmOr7+0fZGur1U+73vfU+zZs1Sfn6+mpqa9Prrr+snP/mJ9u/fL5/PZ728hHMcR8FgUCUlJSosLJSUnvshWh2k1NkPKRFCHTIyMiIeO47Tpa0/mz59esTjyZMn67HHHlNdXZ0qKiqMVtU3RNsb6Wb27Nmdfy4sLNT48eM1Y8YMHTlyROXl5YYrS44NGzbo9OnT2rVrV5e+dNoPseqQKvshJV6Oy8nJUWZmpi5duhTR3traqtzcXKNV2Rs8eLAKCwt17tw566WYCQQCksTeiCIvL0/5+fn9cn9s3LhRhw8f1o4dOzR8+PDO9nTbD7HqEE1f3Q8pEUI+n0/jxo3TsWPHIto//PBDFRcXG63KXjgc1qefftr5Dy8djRw5UoFAIGJvhMNhNTY2pvXekNyXsS9cuKC8vDzrpSSM4zjasGGDDh48qB07dmjUqFER/emyH+5Vh2j66n5ImZfjKioq9Oyzz2r8+PEqLi7Wnj17dOHCBS1YsMB6ab1m06ZNevTRRzVixAh98cUX2rZtm65du6a5c+daLy2prl+/rs8//7zzcVNTk06dOqXs7Gzl5+dryZIlqq6u1pgxYzR69GhVV1crKytLc+bMMVx14nVXh+zsbG3ZskXl5eUKBAJqbm5WVVWVcnJyNHPmTMNVJ9b69etVX1+vrVu36oEHHuh8D8jv9ysrK0sZGRlpsR/uVYfr16+nzH7IcFLoxdKdO3eqpqZGFy9eVGFhoZ5//nmVlpZaL6vXrFmzRo2Njfryyy+Vk5OjyZMna/Xq1fr6179uvbSk+stf/qIlS5Z0aZ87d65eeeUVOY6jLVu2aM+ePbpy5YomTZqkysrKiDdp+4Pu6vDSSy/ppz/9qT755BOFQiEFAgFNmTJFq1ev1ogRIwxWmxxFRUVR24PBoObNmydJabEf7lWHmzdvpsx+SKkQAgD0LynxnhAAoH8ihAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABg5v8Aj47Lv7T+SUkAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 3\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 8\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4 4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3 3\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9 9\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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FRb0+Tk5OjkKhUERbIBBQQ0ND1L5kEus6fPkfEW5s377d9RgvnxPq6fMxPp8v6mdh+vLzMX2lv9fBy+eEfvzjH7se8+6770Zt5++HsP5Qh4419EbcP6yalZWl7OxsnThxwtW4UCjUbQF76ksmsapDa2trDFYDuOdl711rz/P3Q1ii1CHunxM6d+6cTp06paysrHhPBQBIMK7PhFpaWvTpp592Pq6vr9cHH3yg9PR0paenq6qqSkVFRQoGg2poaFBFRYUyMjI8v+UDABi4XIfQ0aNHtXDhws7HHZ8Hmjt3rlatWqVjx45p3759CoVCCgaDmjp1qioqKpSWlha7VQMABoSvdHVcPA0fPjzqhQkXLlyI2pdM+ksdvv71r7seM3fuXNdjZsyYEbV9yJAhevDBB7V9+3Zdvnw5om/s2LGu5/Fq586drseUlpa6HuPlz9SXL+9bb73V9Zh33nknZvP3l9eFtf5Qh4419Ab3jgMAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmIn7N6ti4PLydc41NTUxGxMIBPTggw/qkUceMb1r8h133OF6zHXXuX/p9XRH7O6+3ru9vd31PJK0fv1612Nqa2s9zYXkxpkQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM9zAFPiS++67z/WYbdu2uR7j9/tdj/HCy41IJWnFihUxXgkQHWdCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzHADU/R7qampPbanpqaqvb09oq+4uNjTXJs3b3Y9pq9uRlpVVRW1fciQISopKVF1dbUuX74c0ff000/3xdIAzzgTAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYIYbmKLf6+4mnB03Dv3FL36htra2iL4nn3wy7uv6Kvbv3+96zLPPPhu1PS0tTSUlJVq/fr2am5sj+q6+sSvQ33AmBAAwQwgBAMy4CqHq6mrde++9ys/P17Rp0/TII4/o+PHjEc9xHEeVlZUqLCzUxIkTtWDBAn300UcxXTQAYGBwFUKHDx/W/PnztXv3btXU1Ki9vV1LlixRa2tr53M2b96smpoalZWVac+ePcrMzNTixYu7vFcNAICrENqyZYuKi4s1duxY3XzzzSovL9fJkydVV1cnKXwWtG3bNpWUlKioqEi5ublat26dLl686OkXsQCAge0rXR0XCoUkSenp6ZKk+vp6NTY2qrCwsPM5fr9fBQUFOnLkiObNm9frYwcCgW7bovUlk2SrQ3dfn93R3ldfrx1L113n/qWXlpbWY3u0/i+/SzHQJdvrojv9oQ5u5vY5juN4mcRxHC1btkwXLlzQzp07JUnvvfeeHnjgAf31r3/VN7/5zc7nrly5UidPntSWLVu8TAUAGKA8nwmtWbNGx44d6wygL/P5fBGPveRcTk5O55lWh0AgoIaGhqh9ySTZ6vDMM89Ebff7/Vq+fLkqKyu7fE6otLS0L5bm2Z///GfXYx599NGo7WlpafrXv/6lyZMnd/nd6+nTpz2tLxEl2+uiO/2hDh1r6A1PIbR27Vq98cYb2r59u0aOHNnZHgwGJUlnzpxRVlZWZ3tTU5MyMzNdzREKhbotYE99ySRZ6nB1wETrv9Zz+pv//e9/rsdc6+Ke5ubmLs9Jhv1xtWR5XVxLotTB1YUJjuNozZo1eu2117R161aNHj06on/UqFEKBoM6dOhQZ1tbW5tqa2uVn58fmxUDAAYMV2dCq1ev1v79+7Vx40YNGzZMjY2NksKnXikpKfL5fFq4cKGqq6s1ZswY3XDDDaqurlZKSoruvvvuuPwBAACJy1UI7dq1S5K0YMGCiPby8nIVFxdLkpYuXapLly5p9erVOn/+vCZNmqSXX3652yt7AADJy/PVcfE2fPjwqBcmXLhwIWpfMukvdUhNTXU9prubkfZkxYoVrsf05bbu7saiPVm5cmXM5u8v+8EadQjrD3XoWENvcO84AIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZz1/vjYFj/PjxnsatXbvW9Zh77rnH9Zie7ojt8/mi9re3t7ueR5LWr1/vesyqVas8zQWAMyEAgCFCCABghhACAJghhAAAZgghAIAZQggAYIYQAgCYIYQAAGYIIQCAGUIIAGCGEAIAmCGEAABmuIHpADN06FDXYzZv3uxpru9+97uexrnV1NQUtd3n82nEiBE6e/Zsl5uYbtiwwdNcv/71rz2NA+ANZ0IAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMcAPTAaakpMT1mL66EalXL774YtR2v9+vFStW6KWXXlJbW1tEHzciBRIDZ0IAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMcAPTAeb111+3XkKPnn/+eddjVq1aFbU9EAhoxYoVKi8vVygU+oorA2CBMyEAgBlCCABgxtXbcdXV1Xrttdd0/PhxpaSkKD8/Xz//+c914403dj7nqaee0u9///uIcZMmTdLu3btjs2IAwIDhKoQOHz6s+fPna8KECWpvb1dFRYWWLFmiP/3pT0pNTe183owZM1ReXt75eMiQIbFbMQBgwHAVQlu2bIl4XF5ermnTpqmurk4FBQWd7X6/X8FgMDYrBAAMWF/p6riOK5LS09Mj2g8fPqxp06Zp+PDhKigoUGlpqUaMGOHq2IFAoNu2aH3JpKc6DBs2rK+X44rf73c9prufN/shjDqEUYew/lAHN3P7HMdxvEziOI6WLVumCxcuaOfOnZ3tBw4cUGpqqrKzs1VfX68NGzaovb1de/fu9fQXEABg4PIcQqtXr9Zbb72lnTt3auTIkd0+7/Tp05o1a5aef/55FRUV9fr4OTk5XT77EQgE1NDQELUvmfRUh5tvvtn18d55551YLe2aqqqqXI95+umno7azH8KoQxh1COsPdehYQ294ejtu7dq1euONN7R9+/YeA0iSsrKylJ2drRMnTriaIxQKdVvAnvqSSbQ6tLS0GK2md9ra2lyPudbPmv0QRh3CqENYotTBVQg5jqO1a9fq9ddf1+9+9zuNHj36mmPOnTunU6dOKSsry/MiAQADk6sQWr16tfbv36+NGzdq2LBhamxslBQ+9UpJSVFLS4uqqqpUVFSkYDCohoYGVVRUKCMjQ7Nnz47LHwAAkLhchdCuXbskSQsWLIhoLy8vV3FxsQYPHqxjx45p3759CoVCCgaDmjp1qioqKpSWlha7VQMABgRXIfThhx/22J+SktLls0QAAHSHu2gPMO+//77rMYMHD47DSgDg2riBKQDADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzhBAAwAwhBAAwQwgBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADPXWS+gO4FAoNu2aH3JhDqEUYcw6hBGHcL6Qx3czO1zHMeJ41oAAOgWb8cBAMwQQgAAM4QQAMAMIQQAMEMIAQDMEEIAADOEEADADCEEADBDCAEAzBBCAAAzCRVCO3bs0KxZszRhwgQVFxfrH//4h/WS+lRlZaXy8vIi/ps+fbr1suKutrZWJSUlKiwsVF5eng4ePBjR7ziOKisrVVhYqIkTJ2rBggX66KOPjFYbP9eqw1NPPdVlf9x///1Gq42P6upq3XvvvcrPz9e0adP0yCOP6Pjx4xHPSYb90Js6JMp+SJgQOnDggMrLy7Vs2TLt27dPU6ZM0dKlS3Xy5EnrpfWpsWPH6u9//3vnf3/84x+tlxR3ra2tysvLU1lZWdT+zZs3q6amRmVlZdqzZ48yMzO1ePFiNTc39/FK4+tadZCkGTNmROyPl156qQ9XGH+HDx/W/PnztXv3btXU1Ki9vV1LlixRa2tr53OSYT/0pg5SguwHJ0H86Ec/csrKyiLa7rzzTmf9+vVGK+p7L7zwgnPPPfdYL8NUbm6u8/rrr3c+vnLlijN9+nSnurq6s+3SpUvOlClTnF27dlkssU9cXQfHcZwnn3zSWbZsmdGKbDQ1NTm5ubnO4cOHHcdJ3v1wdR0cJ3H2Q0KcCbW1tamurk6FhYUR7dOnT9eRI0eMVmXjk08+UWFhoWbNmqXS0lL997//tV6Sqfr6ejU2NkbsDb/fr4KCgqTbG1L4X8jTpk3THXfcoaefflpNTU3WS4qrUCgkSUpPT5eUvPvh6jp0SIT90G+/T+jLzp07p/b2do0YMSKiPTMzU42NjUar6nsTJ07UunXrNGbMGDU1NWnTpk2aN2+e9u/fr4yMDOvlmej4+UfbG8n2Vu33vvc93XnnncrOzlZ9fb02bNigRYsWae/evfL7/dbLiznHcVReXq4pU6YoNzdXUnLuh2h1kBJnPyRECHXw+XwRjx3H6dI2kM2cOTPi8eTJk3X77bdr3759Wrx4sdGq+odoeyPZzJkzp/P/c3NzNX78eM2aNUtvvvmmioqKDFcWH2vWrNGxY8e0c+fOLn3JtB+6q0Oi7IeEeDsuIyNDgwcP1pkzZyLam5qalJmZabQqe6mpqcrNzdWJEyesl2ImGAxKEnsjiqysLGVnZw/I/bF27Vq98cYb2rp1q0aOHNnZnmz7obs6RNNf90NChJDf79e4ceN06NChiPa3335b+fn5Rquy19bWpo8//rjzhZeMRo0apWAwGLE32traVFtbm9R7Qwq/jX3q1CllZWVZLyVmHMfRmjVr9Nprr2nr1q0aPXp0RH+y7Idr1SGa/rofEubtuMWLF+uJJ57Q+PHjlZ+fr1dffVWnTp3SvHnzrJfWZ9atW6fbbrtN119/vc6ePatNmzapublZc+fOtV5aXLW0tOjTTz/tfFxfX68PPvhA6enpys7O1sKFC1VdXa0xY8bohhtuUHV1tVJSUnT33Xcbrjr2eqpDenq6qqqqVFRUpGAwqIaGBlVUVCgjI0OzZ882XHVsrV69Wvv379fGjRs1bNiwzt8BBQIBpaSkyOfzJcV+uFYdWlpaEmY/+JwEerN0x44d2rJli06fPq3c3FytWLFCBQUF1svqM6WlpaqtrdXnn3+ujIwMTZ48WY899pi+/e1vWy8trt59910tXLiwS/vcuXP13HPPyXEcVVVV6dVXX9X58+c1adIklZWVRfySdiDoqQ6rVq3Sz372M73//vsKhUIKBoOaOnWqHnvsMV1//fUGq42PvLy8qO3l5eUqLi6WpKTYD9eqw8WLFxNmPyRUCAEABpaE+J0QAGBgIoQAAGYIIQCAGUIIAGCGEAIAmCGEAABmCCEAgBlCCABghhACAJghhAAAZgghAIAZQggAYOb/4DhMjRggMMcAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-20T10:55:47.503989Z",
     "start_time": "2025-01-20T10:55:47.502169Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "bdf025ae44ba369c",
   "outputs": [],
   "execution_count": null
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}