1_IntroductionToGNN.ipynb

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        "<a href=\"https://colab.research.google.com/github/DaShi-Git/GNN/blob/main/1_IntroductionToGNN.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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      "source": [
        "# Install required packages.\n",
        "!pip install -q torch-scatter -f https://pytorch-geometric.com/whl/torch-1.8.0+cu101.html\n",
        "!pip install -q torch-sparse -f https://pytorch-geometric.com/whl/torch-1.8.0+cu101.html\n",
        "!pip install -q torch-geometric\n",
        "\n",
        "# Helper function for visualization.\n",
        "%matplotlib inline\n",
        "import torch\n",
        "import networkx as nx\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "def visualize(h, color, epoch=None, loss=None):\n",
        "    plt.figure(figsize=(7,7))\n",
        "    plt.xticks([])\n",
        "    plt.yticks([])\n",
        "\n",
        "    if torch.is_tensor(h):\n",
        "        h = h.detach().cpu().numpy()\n",
        "        plt.scatter(h[:, 0], h[:, 1], s=140, c=color, cmap=\"Set2\")\n",
        "        if epoch is not None and loss is not None:\n",
        "            plt.xlabel(f'Epoch: {epoch}, Loss: {loss.item():.4f}', fontsize=16)\n",
        "    else:\n",
        "        nx.draw_networkx(G, pos=nx.spring_layout(G, seed=42), with_labels=False,\n",
        "                         node_color=color, cmap=\"Set2\")\n",
        "    plt.show()"
      ],
      "execution_count": null,
      "outputs": [
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            "\u001b[?25l\r\u001b[K     |███████▏                        | 10kB 22.0MB/s eta 0:00:01\r\u001b[K     |██████████████▍                 | 20kB 15.9MB/s eta 0:00:01\r\u001b[K     |█████████████████████▌          | 30kB 12.4MB/s eta 0:00:01\r\u001b[K     |████████████████████████████▊   | 40kB 7.8MB/s eta 0:00:01\r\u001b[K     |████████████████████████████████| 51kB 2.5MB/s \n",
            "\u001b[?25h  Building wheel for torch-geometric (setup.py) ... \u001b[?25l\u001b[?25hdone\n"
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      "source": [
        "# Introduction: Hands-on Graph Neural Networks\n",
        "\n",
        "Recently, deep learning on graphs has emerged to one of the hottest research fields in the deep learning community.\n",
        "Here, **Graph Neural Networks (GNNs)** aim to generalize classical deep learning concepts to irregular structured data (in contrast to images or texts) and to enable neural networks to reason about objects and their relations.\n",
        "\n",
        "This is done by following a simple **neural message passing scheme**, where node features $\\mathbf{x}_v^{(\\ell)}$ of all nodes $v \\in \\mathcal{V}$ in a graph $\\mathcal{G} = (\\mathcal{V}, \\mathcal{E})$ are iteratively updated by aggregating localized information from their neighbors $\\mathcal{N}(v)$:\n",
        "\n",
        "$$\n",
        "\\mathbf{x}_v^{(\\ell + 1)} = f^{(\\ell + 1)}_{\\theta} \\left( \\mathbf{x}_v^{(\\ell)}, \\left\\{ \\mathbf{x}_w^{(\\ell)} : w \\in \\mathcal{N}(v) \\right\\} \\right)\n",
        "$$\n",
        "\n",
        "This tutorial will introduce you to some fundamental concepts regarding deep learning on graphs via Graph Neural Networks based on the **[PyTorch Geometric (PyG) library](https://github.com/rusty1s/pytorch_geometric)**.\n",
        "PyTorch Geometric is an extension library to the popular deep learning framework [PyTorch](https://pytorch.org/), and consists of various methods and utilities to ease the implementation of Graph Neural Networks.\n",
        "\n",
        "Following [Kipf et al. (2017)](https://arxiv.org/abs/1609.02907), let's dive into the world of GNNs by looking at a simple graph-structured example, the well-known [**Zachary's karate club network**](https://en.wikipedia.org/wiki/Zachary%27s_karate_club). This graph describes a social network of 34 members of a karate club and documents links between members who interacted outside the club. Here, we are interested in detecting communities that arise from the member's interaction.\n",
        "\n",
        "PyTorch Geometric provides an easy access to this dataset via the [`torch_geometric.datasets`](https://pytorch-geometric.readthedocs.io/en/latest/modules/datasets.html#torch_geometric.datasets) subpackage:"
      ]
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        "outputId": "d0039fba-cd7a-41d2-ae24-bdd6296d0994"
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      "source": [
        "from torch_geometric.datasets import KarateClub\n",
        "\n",
        "dataset = KarateClub()\n",
        "print(f'Dataset: {dataset}:')\n",
        "print('======================')\n",
        "print(f'Number of graphs: {len(dataset)}')\n",
        "print(f'Number of features: {dataset.num_features}')\n",
        "print(f'Number of classes: {dataset.num_classes}')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Dataset: KarateClub():\n",
            "======================\n",
            "Number of graphs: 1\n",
            "Number of features: 34\n",
            "Number of classes: 4\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7cjjyFVnpKB0"
      },
      "source": [
        "After initializing the [`KarateClub`](https://pytorch-geometric.readthedocs.io/en/latest/modules/datasets.html#torch_geometric.datasets.KarateClub) dataset, we first can inspect some of its properties.\n",
        "For example, we can see that this dataset holds exactly **one graph**, and that each node in this dataset is assigned a **34-dimensional feature vector** (which uniquely describes the members of the karate club).\n",
        "Furthermore, the graph holds exactly **4 classes**, which represent the community each node belongs to.\n",
        "\n",
        "Let's now look at the underlying graph in more detail:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gUFSrDPxuQ23",
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          "base_uri": "https://localhost:8080/",
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        "outputId": "3d2704c1-1c02-49b0-ed64-fc8249e72144"
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      "source": [
        "data = dataset[0]  # Get the first graph object.\n",
        "\n",
        "print(data)\n",
        "print('==============================================================')\n",
        "\n",
        "# Gather some statistics about the graph.\n",
        "print(f'Number of nodes: {data.num_nodes}')\n",
        "print(f'Number of edges: {data.num_edges}')\n",
        "print(f'Average node degree: {data.num_edges / data.num_nodes:.2f}')\n",
        "print(f'Number of training nodes: {data.train_mask.sum()}')\n",
        "print(f'Training node label rate: {int(data.train_mask.sum()) / data.num_nodes:.2f}')\n",
        "print(f'Contains isolated nodes: {data.contains_isolated_nodes()}')\n",
        "print(f'Contains self-loops: {data.contains_self_loops()}')\n",
        "print(f'Is undirected: {data.is_undirected()}')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Data(edge_index=[2, 156], train_mask=[34], x=[34, 34], y=[34])\n",
            "==============================================================\n",
            "Number of nodes: 34\n",
            "Number of edges: 156\n",
            "Average node degree: 4.59\n",
            "Number of training nodes: 4\n",
            "Training node label rate: 0.12\n",
            "Contains isolated nodes: False\n",
            "Contains self-loops: False\n",
            "Is undirected: True\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MY4pZma9p3Ax"
      },
      "source": [
        "Each graph in PyTorch Geometric is represented by a single [`Data`](https://pytorch-geometric.readthedocs.io/en/latest/modules/data.html#torch_geometric.data.Data) object, which holds all the information to describe its graph representation.\n",
        "We can print the data object anytime via `print(data)` to receive a short summary about its attributes and their shapes:\n",
        "```\n",
        "Data(edge_index=[2, 156], x=[34, 34], y=[34], train_mask=[34])\n",
        "```\n",
        "We can see that this `data` object holds 4 attributes:\n",
        "(1) The `edge_index` property holds the information about the **graph connectivity**, *i.e.*, a tuple of source and destination node indices for each edge.\n",
        "PyG further refers to (2) **node features** as `x` (each of the 34 nodes is assigned a 34-dim feature vector), and to (3) **node labels** as `y` (each node is assigned to exactly one class).\n",
        "(4) There also exists an additional attribute called `train_mask`, which describes for which nodes we already know their community assigments.\n",
        "In total, we are only aware of the ground-truth labels of 4 nodes (one for each community), and the task is to infer the community assignment for the remaining nodes.\n",
        "\n",
        "The `data` object also provides some **utility functions** to infer some basic properties of the underlying graph.\n",
        "For example, we can easily infer whether there exists isolated nodes in the graph (*i.e.* there exists no edge to any node), whether the graph contains self-loops (*i.e.*, $(v, v) \\in \\mathcal{E}$), or whether the graph is undirected (*i.e.*, for each edge $(v, w) \\in \\mathcal{E}$ there also exists the edge $(w, v) \\in \\mathcal{E}$).\n",
        "\n",
        "Let us now inspect the `edge_index` property in more detail:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ci-LpZWhRJoI",
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          "height": 300
        },
        "outputId": "05198546-773e-451e-99d0-9ef8db60bb5e"
      },
      "source": [
        "from IPython.display import Javascript  # Restrict height of output cell.\n",
        "display(Javascript('''google.colab.output.setIframeHeight(0, true, {maxHeight: 300})'''))\n",
        "\n",
        "edge_index = data.edge_index\n",
        "print(edge_index.t())"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/javascript": [
              "google.colab.output.setIframeHeight(0, true, {maxHeight: 300})"
            ],
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              "<IPython.core.display.Javascript object>"
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      "source": [
        "By printing `edge_index`, we can further understand how PyG represents graph connectivity internally.\n",
        "We can see that for each edge, `edge_index` holds a tuple of two node indices, where the first value describes the node index of the source node and the second value describes the node index of the destination node of an edge.\n",
        "\n",
        "This representation is known as the **COO format (coordinate format)** commonly used for representing sparse matrices.\n",
        "Instead of holding the adjacency information in a dense representation $\\mathbf{A} \\in \\{ 0, 1 \\}^{|\\mathcal{V}| \\times |\\mathcal{V}|}$, PyG represents graphs sparsely, which refers to only holding the coordinates/values for which entries in $\\mathbf{A}$ are non-zero.\n",
        "\n",
        "We can further visualize the graph by converting it to the `networkx` library format, which implements, in addition to graph manipulation functionalities, powerful tools for visualization:"
      ]
    },
    {
      "cell_type": "code",
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          "height": 411
        },
        "outputId": "eeea9fed-6452-476d-b4f2-7487167f6b50"
      },
      "source": [
        "from torch_geometric.utils import to_networkx\n",
        "\n",
        "G = to_networkx(data, to_undirected=True)\n",
        "visualize(G, color=data.y)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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4WdZFrsfsLLlMjlOlOgasSHjXs2fP6NmzJ0uWLEkJE3jdHWVVqSSdHa0oWySKEJ89dHa0onrlkvm6gadMJkOuMMz2LonJmvc/ScgXIlCENCoWNaNGibIoZNn/56GUyalpVk4sasxFKpUKZ2dn+vXrx9ChQzN8nlKpRKMpOB++RkrDdLPl98p+IWMiUIR0ja3XhpLGJsizMaIiR0ZJY1PG1Gudi5V93CRJYtKkSZQoUYKFCxdm+lyFQlGgAqW0WRH0bSQpFDJKlRBjcwWVCBQhXcWMjJnRsAvlTUtglIXpqEZyBRWKlmBGw84UVRbcnWs/dL///jsXLlxg69at7133oVQq0WoLzsaPdrXLodBnaT+ABHXFgHyBJQJFyFBJY1NmN+pKHyt7ShmbUiSds06KyJWoX8VROVrNrIZdxdb1uejo0aMsWrSI/fv3U6LE+7sUC1qXl3kpU0qbmeh1DatKZhQzFdPRCyoxbVjIlLFCScdKdelgWYebL6PwffaAGFUiIMPM2ASHslW4f+U6U6ZPYXqvQfldbqF18+ZNhgwZwu7du7GyssrSawpaoFy5coUdG1fySfcxKHPQilUq5DStn/MtX4TcJwJFyBKZTEa90hWpV7pimsfqdKxAsWLF2LdvH3379s2H6gq358+f07NnT37++Wdat876+FRBGUOJj49nzpw5bN26lV9//Y0KNSwJDn2WrT3IXodJRSzLF8/FSgV9iS4vQW8ymYxZs2axcOFCvc44F9JSq9W4uLjQu3dvvvzyy2y9tiCMoRw/fhw7OzuioqK4ceMGX3wxmA4tqlGnehmUyqx9/CgVchxsytPCXrROCjoRKIJB9O7dm/j4eE6cOJHfpRQqkydPxtTUlMWLF2f7tfnZ5fX8+XO+/PJLRo4cycqVK9myZQvlypUDXm+939nRio4tqlGqRBGUyrRzCbVaDUqFjLKlTen2SXVaO1TO13U0QtaIQBEMQi6XM3PmzPdOZRWybtWqVZw5c4Zt27ZlaSffd+VHoEiSxK5du6hfvz4lSpQgICCATz/9NM3zZLLX57l82bc+Lp1rU6d6GcqXKUqpEkWoYF6UB3d8qFbqBUN72VKzqjhL/kMhxlAEgxkwYABz5szhwoULqVZvC9l3/Phx5s+fj7e3N2ZmOTsDJK/HUCIiIpgwYQIhISF4eHjg6Oj43tfIZDIsyhXHolzqsZE7V3dx/sxRevfomFvlCrlAtFAEgzEyMmL69OksWrQov0v5oIWEhDB48GB27NhBjRo1sv16jVZHSPhzIp7JsGvekysBjwl98BJdNs9MySqdTsfatWtp2LAhDRs2xNfXN0thkhknJyfRffoBEptDCgaVlJREjRo1OHLkCA0aNMjvcj44L168oEWLFkybNo1Ro0Zl67Uxccn43nzCjZBokED1747DchkoFHIUchmN6pWnQZ3yBlvLERISwujRo0lOTuaPP/6gfv36BrmuSqWibNmyhIeHU6ZMGYNcUzAcsTmkkCdMTEz4+uuv+fnnn/O7lA+ORqOhf//+dOvWLdthcvveCzZ6BuL37xntqre2r9dJr89oT1JpuRLwmD/33ODB4xi9alWr1SxatAhHR0f69evH+fPnDRYmAMbGxrRq1YrTp08b7JpC7hOBIhjcV199xbFjx7hz505+l/JBmTp1KkqlkiVLlmTrdbfCnnP4bCgare69B2xptBJqjY69x+9w/1HOQsXHx4emTZvi5eWFj48Prq6uOZo08D4dOnQQ3V4fGBEogsGVKFGC8ePH88svv+R3KR+MtWvXcuzYMbZv345SmfW5MtHPE/jnfHi2FgnC/5/RHhOXnOXXJCQkMG3aNLp3784333zD4cOHs7xqPyfEOMqHRwSKkCtcXV3x8PAgIiIiv0sp8E6dOsXcuXM5cOBAuuewZ+aCf6R+Z7QHRWXpuSdPnqRBgwZERERw48YNhgwZkuvrQho2bEh0dLT4N/QBEYEi5Apzc3O+/PJLfvvtt/wupUC7c+cOAwcO5O+//6ZmzZrZem1ikpqwiFf6ndF++ymaTALpxYsXjBo1iuHDh7Ns2TK2bdtG+fLlc3jH7JHL5bRv3160Uj4gIlCEXDN16lQ2btzI06dP87uUAunly5f07NmTefPm0b59+2y/PuD202ycVpOxkPAX6X599+7d1K9fHxMTEwICAujRo4cB7pY9HTp04OTJk3l+XyFnxMLGdOgkiZsvH3P0YRAP4l6SrNOglMkpZWxKe8vaNC9fHROl2EL7fSpVqoSLiwtubm7Mnz8/v8spUDQaDQMGDKBTp06MHTs2R9eIjI7P9tjJu9QaHU+eJ2Bj/f9njERGRjJx4kSCg4PZuXMnrVq10use+nByckrZI05svVLwiRbKO84/vsN3l/ayJugswS+jiNMko9ZpSdSqeZQYw+4wX769tIctty+j0ub/Tq4F3fTp01m1ahUxMfpNUy1spk2bhk6nY+nSpTm+RpLKMP/+EpPUwOsFiu7u7tjb22Nra4uvr2++hglA7dq1kSSJ27dv52sdQtaIFsq/JElix92rnI+6i0qX8Q6tyf8+diEqlLsx0XzToAPFjfQ7NKgws7a2pkuXLqxZs4bp06fndzkFwh9//MGhQ4e4ePFitmZ0vcvYgGe037lzh9GjR6ds8FlQFqXKZLKU6cO1a9fO73KE9xAtlH8duHf9vWHyNo2kIyoxhv/eOClaKu8xY8YM/vvf/5KYmJjfpeQ7Ly8vZs+ezYEDByhdWr9NDw1xRrtancx695U0bNiQli1b4u3tXWDC5A0xjvLhEIECPIh7wdGIm1kOkze0kkRUQgyHHgTmUmWFg52dHc2aNWPDhg35XUq+Cg0N5fPPP2fr1q0G+W3bEGe0y2VybvmfoUOHDvz1119YWVkxePBg3N3dCQkJKRDn2zg5OXHq1Cl0upxNjxbyjujyAo5HBKPN4T9WtaTDKzKEnlXtUMhFPmdk5syZDBgwgNGjR2Nk9PFNaIiJiaFnz57MmTOHjh0Ns4OueSlTypQ05cnzhBy9XqfTYaJMxOfKBWQyGZIkcffuXU6fPo2Xlxfz589Hq9XStm1b2rVrR9u2balTp06eD45XrlyZSpWr8c9pXypUrIwkSZgUUVKlYgnMihfJ01qEzH30m0MmalRMu7QXdTZbJ28rolAyrFYLGperasDKCp8OHTowbNgwhg4dmt+l5CmtVkuvXr2oVq0aq1atMui1/YIecuzCfRQ5OKNdIZfh0qVOhsfqSpJEWFhYSsCcPn2a5OTkVAFTr169XA2YR9Fx+ARGcSssGhmgVBoh/Vu7TpKoVK44TepXpJqlmZgFlocy2hzyow+Ui1FhbLtzhWSdfuMg9UpVYIpdBwNVVTidOHGCiRMnEhgYiPwjas19++23+Pn5cfjwYYO2zq5du4aLiwtDx82ndMW62T6jvZldRVrYW2brnuHh4Zw+fTolZBISEvjkk09SAsbGxsYgf7c6ncSxC+HcCnuBVqvLdPGmkVKORdli9HaqiZGR4fcUE9ISuw1n4JU6EY0erZM3XqrEgPP7ODk5YWZmhqenZ36Xkmc2bNjA/v372blzp8HCRJIk1q5dS5cuXVi0aBE/TB1E3Rrm2TqjvbFteZo3yP4Z7VZWVgwfPpyNGzcSFhbG5cuX6dmzJ1evXqV3795UqFCBfv368fvvv3P9+vUcjXtIksSB03e4FfYCzXvCBF6vpYl4EseOIzdRa8Q4S3766FsoB+8HcODe9RxvX/FGOZPi/Ni0l0FqKsz27dvHggULuHLlSqHvojh79izOzs54eXlRt25dg1wzPj6er776Cj8/Pzw8PKhTpw7w+kP4ZthzLvpHEpugRqt594NYQqmQU7qkCY4NK2FdpZRB6nnXgwcPUrrHvLy8eP78eaoWTIMGDd7bgjl37SHXgp5kuiVMehQKGdUrlaRX++xtYSNkn2ihZKCo0gilAZropjnow/4Y9ezZk6SkJI4dO5bfpeSq8PBw+vfvz+bNmw0WJsHBwTRr1gylUsmlS5dSwgRer9eoV8OcL/va4dK5Nkrdcx49CEGriqV8GVPsapVjUHcbhvS0zbUwAahSpQpffPEFf/zxB7dv3+b69eu4uLgQFBTE559/TtmyZenduzf//e9/uXbtGlpt6t4BlVrLtaCobIcJgFYrERbxipcxSYZ6O0I2ffSzvKzNyiHTc0ckpUyOTamKBqqocJPL5cycOZOFCxfSuXPn/C4nV8TGxtKzZ09mzpxpsPe4bds2Jk+ezOLFixkxYkSGz7t79y5jxozh1atXrF+/Hnt7e4PcP6cqVarEoEGDGDRoEACPHj3Cy8sLLy8v1q1bx+PHj2ndunXKQL+8aKV/W6456zOQdBK+N5/QvpmYIJMfPvoWStXiZTA3SX+WS1YlJydzbfv/ePz4sYGqKtw+//xz7t+/z/nz5/O7FIPTarUMHjwYR0dHJk2apPf1kpOTGT9+PHPnzuX48eMZholGo2HJkiU0b96cbt26cfHixXwPk/RYWFgwYMAAVq9eTXBwMMHBwQwZMoSwsDCGDRvG3sNX9BoH0UmvN83MSQtH0N9HHygAXSvbUESe88Za9WJliL73kHr16jFkyBAK+7iTvpRKJd999x2LFi3K71IMbtasWcTGxrJixQq9x4jCwsJo1aoVT548wcfHJ8OA8PPzo0WLFhw5coRLly7xzTff6LWlS16qWLEi/fv3Z+XKldy4EUDpstmbdZaRmDiVQa4jZI8IFKBxuaqYGZsgz8EHgJFcwRe2rVizZg13796lQYMG9OvXj1atWrFz5040GrEtS3qGDRuGr68vfn5++V2Kwfz111/s3r0bDw8PvWd0HThwgBYtWvDFF1+wa9eudA/eSkpKYtasWXTu3Jnx48dz/PhxrK2t9bpvfkpWa/Ve+Q+vx5OSDbRxppA9H/0srzdeJCfwk+9h4jUqdFncbsJIrmBkHUcala2S6usajYZ9+/axfPlywsLCmDBhAqNHj8bc3DyDK+WNiPiXnIy4RXjcM5K0GozlCsqZlKC9ZW3qlqqQ57OufvvtN65cucL27dvz9L65wdvbmz59+uDl5UW9evVyfB2NRsPs2bP5+++/2bFjBy1btkz3eWfOnGH06NE0aNCA33//nYoVP/wxPLVGy4ptvui724uxkZzPu9alXJmihilMSEMsbMyCV6pEll4/wQtVAsmZbPioRIZCruArmzbYlM58Lr+vry/Lly9n3759uLi44OrqSv369Q1deqYCnkfiGe7P48QYtDod704oLaJQYqowoktlG9pZ1s5RSy0n4uLiqF69OufPn/+gd5K9d+8eLVu2ZP369Xz66ac5vk5kZCQDBgygaNGibNmyhbJly6Z5zqtXr/juu+/43//+x4oVK+jTp48+pRcokiTx+9Zrep/xopDLGO3SgKImH98WP3lFTBvOgpLGpsxt3I3RdVtR26w8SpkcU4URReRKTP79ryJJQ/KFYBY37/veMAFo1KgRGzdu5ObNm1SuXJnOnTvToUMH9u/fn2bKZG44/CCQNcFneRD/ArVOmyZMAJK1Gl6qEtkb7sfqoDN6bUOTHcWLF2fixIn88ssveXK/3BAXF0evXr2YNm2aXmFy8uRJmjRpQqdOnTh06FC6YbJv3z5sbW2RJImAgIBCEybPnz9n48aN9OzZkwunPdHp+e/PolwxESb5RLRQMvEsKZ6H8S9I1KoxlispU6Qopgka6tSpQ2hoKGXKlMn2NVUqFbt27WL58uU8e/aMSZMmMWLECMzMzAxe/4mIm3iG+2drF2UjuQLbUhaMtWmTJy2V58+fU6tWLfz8/KhSpcr7X1CA6HQ6+vXrh7m5Oe7u7jnqMtTpdCxcuJCVK1eyefPmdDeOjIqKYtKkSfj5+eHu7k7btm0NUX6+evr0KZ6ennh4eHDhwgU6dOiAs7Mzrdt2Zu+pe2hz2EoxUsrp0daa6pXTjjkJhiNaKDlgblIMe/PKtChfHYeyVbAqYU6FChXo0aMHf/31V46uaWxszODBg7l06RJbtmzh4sWLWFlZ4erqatBT6SLiX7I3m2ECoNZpCXr5iHOP7xislsyUKVOGESNG8Ntvv+XJ/Qzp+++/5/nz56xatSpHYfL06VO6d+/OP/fskZEAACAASURBVP/8g4+PT5owkSSJDRs2YGdnh7W1Nf7+/h90mERFRbFmzRo6duyItbU1x44dY+TIkURERLBnzx4GDRpE1UplKV+maI7PeTE2UmBVyfC/nAlZIwIlB8aNG8fq1av1Op9BJpPRsmVLtm/fzvXr1ylevDitWrWiR48eHDt2TO9zKI49zPmW/CqdliMPgvLsLIypU6eyadMmoqOj8+R+hrB161a2b9/O7t27MTbO/i4JFy9epHHjxtjZ2XHy5EkqVaqU6vHQ0FA6d+7MihUr+Oeff1i0aBGmpqaGKj/PREZGsmLFCtq1a0fdunU5e/YsEyZM4NGjR+zYsQMXFxeKF0+9DqxHW2uKGGd/k0cjpZzPOtYq9Fv6FGQiUHLA0dERU1NTTpw4YZDrVa5cmYULF3Lv3j369OnD1KlTsbW1Zc2aNcTHx2f7eokaNT5P76c7XpJVcepk7sbkzQe8hYUF/fv3Z/ny5XlyP31dunSJr7/+mv3796c71pEZSZJYvnw5vXr1ws3NjV9++SXVFGOtVsvSpUtp1qwZnTp14tKlSzRq1MjQbyFX3b9/n//+97+0atWK+vXrc+XKFb755hsePXrE1q1b6du3L0WLZjwDq0QxYwZ8WpeiJkqyOovYSCmnb8daYmZXPhNjKDm0Zs0ajh49yp49ewx+bUmSOH36NMuXL+fcuXOMGDGCCRMmUK1atSy93jsqlO13fPTekr9puWqMqttKr2tkVWhoKM2aNePu3bvprrkoKB48eECLFi1Yu3YtPXr0yNZrY2JiGDlyJKGhoezatYsaNWqkevz69euMGjWK4sWLs27dOmrW/HA2OQwNDU1Zg3P37l169+6Ns7MzHTp0yFELDiA+Uc3Zqw8JCX+OTCZLs4JeoZCBBFaVzGjTuAplSpoY4q0IWSDGUAxs8ODBnD59mocPHxr82jKZjPbt2+Pp6cnly5fRaDQ4ODjg7OzM2bNn39sV9TwpXu8wAYhOjNP7GllVo0YNunbtyurVq/PsntkVHx9Pr169+Prrr7MdJtevX6dJkyaYm5tz/vz5VGGSlJTE999/T8eOHRkzZgwnTpz4IMIkJCSERYsW0bhxY1q2bMndu3f56aefePToUcoU6pyGCUAxUyO6tq7O2P4Nae1QiQrmRTErbkyJYsaUK21Ks/oVGeXcgN5OtUSYFBCihaKHiRMnYm5uzrx583L9XrGxsfz111+4ublRvHhxJk+ezIABAyhSJO0RqB6h1zgWcVPve1oWLcncxt31vk5WBQQE0LFjR0JDQzPtEskPOp0OFxcXzMzM+PPPP7PVT79hwwamT5/OsmXLGDx4cKrHzp49y+jRo7G1tWXFihVYWGT/jJK8FBQUlNISefLkCf369Xs9O6t16w9muxdBf2JhYy4IDAykU6dO3Lt3L8/OSdfpdBw5cgQ3Nzf8/PwYM2YM48aNS/VBdORBIPvCr+s1hgJQ06wc0+w76VtytvTp04eOHTsyceLEPL3v+8yZM4eTJ09y4sSJdEM8PQkJCUycOJGLFy/i4eGBjY1NymMxMTHMmDGDffv28fvvv/PZZ5/lVul6kSSJGzdu4OHhgYeHBzExMTg7O+Ps7EzLli1RKMQJiR+jQtHlpZMkXiQnEBn/kqiEGBI0+bsBnK2tLbVq1crTEwjlcjndunXjyJEjnDp1iqdPn2JjY8MXX3zBlStXAKhcrDRGcv1+0JUyOdZm2RtwNoSZM2eyZMkSVKqCs7nf9u3b2bx5M3v27MlymNy+fZuWLVuSnJzM5cuXU4XJgQMHsLW1Ra1WExgYWODCRJIkrl27xqxZs6hTpw69evUiISGBP//8k/v377Ns2TJat24twkRI44NoocSpkzj3+C7HI26RpFWjkMmQJNBIOmqUMKdLFRtsS1sgl+V9Pu7YsYO1a9dy8uTJPL/3Gy9evGD9+vWsWLECS0tLXCe74lPViFhNco6vqZTJWdCkJ2VMihmw0qzp2LEjX3zxBcOHD8/ze7/r8uXL9OjRg+PHj9OgQYMsvcbDw4Px48czf/58xo4dm9I99uTJE1xdXfHx8WHdunU4OTnlZunZIkkSV65cSWmJyOXylJZI48aNxVRcIZUPsstLJ0nsDfPjZOSt17M8MlikV0SuxFihZJxNG6zNyuVpjSqViqpVq3Lq1Cm9NgU0BI1Gw/79+19Pv7WtQr3+XZEU2Q9ZSadDG/mceW0+o3LlyrlQaeZOnjzJ+PHjCQwMzNffgiMiImjevDmrVq2iV6/3H++sUqmYPn06+/fvZ9euXTRu3Bh4/WG9efNmpk2bxvDhw5k7d26BGCPS6XQp3XG7d+/G1NQUFxcXnJ2dadCggQgRIUMfXJeXTtKxLvgspx+FoJF0me4vlazTEKtOYtmNk9x4HpGHVb5e+T5q1KgCMTtJqVTy2Wef4eXlxeLRU9BptEg5WNxorFBSNiKWhg0b8tNPP5GUlLdHqrZv355SpUqxd+/ePL3v2xISEujduzeTJk3KUpjcv3+ftm3bEhYWxtWrV1PCJDw8nK5du/Lf//6Xw4cPs3jx4nwNE61Wy5kzZ3B1daVKlSqMHTuWkiVLcujQIYKDg1mwYAH29vYiTIQcKbCBsuPuVQJfPMrW1iEqnZZ1wecIj32Wi5WlNWbMGLZu3ZqjRYi5pUWjJnzfoidFFEZkZz9wY7mCgTWbsPjb2Vy+fJmrV69ia2uLp6dnnq2cl8lkzJo1i4ULF+bZPd8mSRLDhw/HxsaG6dOnv/f5hw8fplmzZnz22Wd4enpSunRptFoty5Yto0mTJjg5OXH58mUcHBzyoPq0NBoNJ06cYNy4cVSqVInJkydToUIFTpw4wY0bN5g7dy62trYiRAS9FchAiUqI4XxUaLb3oYLXobL1zuVcqCpjVatWpXXr1mzbti1P7/s+VYuXYXrDzhQzKoLxewbpFTI5RnIFQ2o1p1XF12sgatSowZ49e1i7di2zZ8+mc+fOBAUF5UXp9OjRA7VazT///JMn93vb/PnzefDgAevWrcv0Q1ar1fLDDz8wevRodu3axbRp05DJZNy4cQNHR0c8PT25cOEC3333XZ7NAnzjzfdu9OjRWFhYMHPmTKysrDh37hy+vr7Mnj2bunXr5mlNQuFXIAPlROQtvfbJepQQQ2T8KwNW9H7jx49n1apV+fIbdWaqFC/Nj0170dvKHhKSkWl1yAFJJ6FVqUGtwVgmp71lbf7TuDvNyluluUbHjh3x8/OjZ8+etG3blilTpvDy5ctcrVsulzNz5kwWLlyYq/d5165du/jzzz/x9PTExCTjxXJRUVF07twZb29vrl69Sps2bUhOTmbOnDk4OTkxcuRITp48Sa1atfKs9uTkZA4ePMiXX35JxYoVmTdvHvXq1ePKlStcvnyZ77777oNYMCl8uApcoKi0Gi5EhaLVYw2FVqfjhAEW9mVHp06diI2N5dKlS3l636woqjSmfcVaeA6dwecVbHGp0Zje1RvQtWIdzAIfsav/12yY+D1Xvc5nGIhGRka4uroSFBREUlISdevWZd26dbl6pkv//v2JiIjg7NmzuXaPt129epUJEyawb98+KlSokOHzzpw5Q+PGjWnVqhVHjx6lQoUKeHt706hRI65fv56yPkguz/0fr8TERDw9PRkyZAgVK1Zk8eLFNGrUCH9/f7y9vZk6dSpWVla5XocgQAGc5XXrZRSrgrxIyuTExKwoYVSEX1v0M1BVWfPrr79y/fp1Nm3alKf3zYpTp07x7bffcvXq1TSPJSYm8vfff7N8+XJUKhWurq4MHTqUYsUynjLs6+uLq6sr8fHxuLm50bp161ype926dXh6enLo0KFcuf4bkZGRNG/eHDc3N/r27Zvuc3Q6Hb/++itLly5l48aNdO3aldjYWGbNmsXu3btxc3OjX79+uT4WER8fz+HDh/Hw8ODIkSMp2/L07du3wK+0FwqHD2aWV5w652sn3qZvIOXEl19+yYEDB3j69Gme3/t9PDw8cHZ2TvcxU1NTRowYgZ+fH6tXr+bo0aNUq1aNadOmce/evXRf06hRI86cOcP06dMZNGgQgwYNypV9zYYNG4a/vz++vr4Gv/YbiYmJ9OnTh6+++irDMHnx4gV9+vRh7969XLlyha5du3Lo0CHq169PQkICAQEBODs751qYxMbGsn37dpydnbG0tExZxxISEpIyzVqEiZDfClygvP551P+HUqvVpnTP5BVzc3N69erFhg0b8uyeWaHVatmzZ0+GgfKGTCajXbt2KR+aOp0OBwcH+vXrx5kzZ9J0h8lkMgYMGEBwcDA1a9bE3t6eH3/80aDf8yJFivDNN9+waNEig13zbZIkMWLECGrVqsWsWbPSfc6bacDW1tZ4eXlhYmLC4MGDmTRpEn/++Sfr16/P0emd7/Pq1Su2bNlCnz59qFy5Mps3b6Zbt26EhoZy9OhRxowZQ/ny5Q1+X0HIqQIXKMWUWdva4n3U8Yn07duXUqVKUbVqVZycnBgzZgxLlixh79693Lhxg4SEBIPc623jx49nzZo1ek0qMDRvb28qVKiQrQHi6tWr89tvv3Hv3j2cnJwYPXo0Dg4ObNiwIU1gFCtWjPnz5+Pj44Ovry82Njbs3bvXYBMUxowZw+nTp7l165ZBrve2n376idDQUP744480rQtJkli9ejWffvopv/zyC0uXLmXnzp3Y2dlhaWnJjRs36NChg0HreXO+eo8ePahSpQq7du2iX79+3Lt3j4MHDzJixAjMzc0Nek9BMJQCN4ai1mn55uJukvXoslIgo41FLQbWbIJGo+HBgwfcuXOH27dvc+fOnZQ/oaGhmJubU7NmTWrVqkXNmjVT/lhbW1OiRIls31uSJBo3bszChQvp2rVrjt+DIbm6ulK+fHm+//77HF9Dp9Nx9OhRli9fzrVr11I2pbS0tEzz3BMnTjB58mQqVqzI8uXLsbW11ad84PVU3vDwcP7880+9r/XG7t27+frrr7l06VKa7qK4uDjGjh1LQEAAHh4eGBsb89VXXxEZGcn69etp0iRN93GORUdH4+npye7du7lw4QIdO3bE2dmZ7t27Y2YmjrMVCp4PauuVnaFXOR15G62Us9/yjeQKfnD4lAqmmf8warVaIiIi0gTNnTt3Ug56ejtk3v6T2SFQf/zxB/v372f//v05qt+QdDodVapU4cSJEwZbd3Dz5k1+//13tm3bRrdu3Zg8eTLNmjVL9RyNRsPq1atZsGABAwYMYN68eZQuXTrH93z+/Dk1a9bEz8+PqlWr6vsW8PX1pXPnzvzzzz9pFhwGBQWl7Ka7fPly/vzzT+bPn8/UqVOZNm2aQdaUPH78mL179+Lh4YGPjw9du3bF2dmZTz/9NM2RuIJQ0HxQgfI0KY7/XP0f6px0G0kS1UuUZUajLnrVoNPpiIyMTBM0b/4ULVo0Tci8aeUYGxtTtWpVrl27luVTFnOLt7c3Y8aMISAgwODXfvnyZcqmlBUrVmTy5Mn069cv1Qfu06dP+eGHH9izZw/z589n1KhROd6fa/r06SQlJeHm5qZX3Y8fP6ZZs2YsXbo0zbjSli1b+Prrr1myZAlNmzZl1KhRGBkZ4e7uTp06dfS6b0REBHv27MHDw4Pr16/TvXt3+vXrR5cuXQrE3l6CkFUfVKAA7Anz41TkrWyvltep1Nxb68kmt9VUrFgxV2qTJInHjx+nCZk3LR0jIyOMjIwoW7Yszs7OqULH3Nw8T7e4mDp1KmZmZvznP//JtXtotVr279+Pm5sbt2/fZty4cYwZM4Zy5f5/o04/Pz8mT55MTEwMbm5utGnTJtv3efToEba2tty8eTPHg9FJSUm0a9eObt26MWfOnFRfnzJlCqdOnWLbtm0cOHCAlStXsmDBAr3WlNy/fz/lQKrg4GB69eqFs7MzHTt2zHThpCAUZB9coEiSxF8hF7n69H6WQ8VYrmRcvdbsdFuHu7s727Zto23btrlcaWqSJBEdHZ2yd9KECRMIDQ1NCRwg3TGbmjVrUr58eYOGjSRJVKtWjcOHDxtkHCMr/P39cXNzY8+ePXz22WdMnjw5Zdt3SZLYuXMn06ZNw9HRkSVLllClSpVsXX/8+PGUKlUqRyvoJUliyJAhaDQa/v7775TvdWhoKC4uLlhbWzNmzBgmT56MtbU1q1atytFuy6GhoSk7+N69e5c+ffrg7OyMk5OTXkfiCkJB8cEFCrz+ADj8IJDDDwIBGaoMzkkvIldSwtiEr+q1oUrx1/30R44cYfjw4Xz99ddMmzYtT1Ytv6tDhw6MHj2aAQMGAK/fz/Pnz9OdIHDnzh1UKlW64zW1atWiYsWK2Q6bS5cuMXz4cIKCgvJ847/o6GjWrVvHqlWrqF27NpMnT6Znz54oFAoSEhJYvHgxK1asYMqUKXz77beYmppm6bphYWE0adKE0NDQTMex0rNo0SL27NnDmTNnUu7n6enJmDFjmD59Ovfu3cPDw4Ply5fj4uKSre9ZSEhIylkiERER9O3bF2dnZ9q2bZvn+3gJQm77IAPljSStmstPwvnnYTDPk+NRyuRIvN7i3ra0JV0q18ParFyaD4D79+/Tv39/KlSowMaNG/UaFM4JDw8P3NzcOHPmTJae/+LFiwzHbOLj47G2tk53zMbS0jLdwJw2bRomJiYsWLDA0G8ty9RqdcqH9JMnT5g4cSIjRoygVKlShIeHp6ze/+233+jbt2+WPsSHDh1KvXr1mDlzZpbr8PT0ZNKkSVy6dAlLS0vUajWzZs1i586dfP311yxbtoz27dvz66+/ZnlablBQUEqIPH36lM8++wxnZ2fatGkjTjMUCrUPOlDekCSJZJ2GBI0KpUxOUaUxyvfsoqtSqZg2bRoHDhzAw8MjT7cQV6vVWFlZceTIEezs7PS61qtXr7h792664zavXr2iRo0aqULG2tqaL7/8kn379uXbtunvunTpEm5ubhw+fJiBAwfi6upKnTp1OHnyJJMnT6Z8+fIsW7bsvd+roKAgnJycCA0NRa2UERb7jESNCoVMTgkjE2qXLI/irYD19/enY8eOHDp0iKZNmxIREcGAAQMoUqQIZcqUwcfHh7Vr19KpU6dM7/vu+eqxsbE4OzvTr18/HB0d86UVLAj5oVAEij527tzJhAkT+Omnnxg9enSedQHNnTuXp0+fsnLlyly7R1xcXJqwuXbtGv7+/igUCmrUqJHumE3VqlVRKpW5VldGIiMjWb16NevWrcPBwYHJkyfj5OSEu7s78+bN4/PPP2fevHkZrj6XJIkBrmOp3MWRpFImKOVydNLrXRZkyJAB7Sxr09aiFqqXsTRv3pzFixfz+eefc/z4cYYMGUKbNm3w8vJi8ODBLFiwIMN9yyRJwtfXNyVE1Gp1ytG4TZs2FSEifJQ++kCB1+snnJ2dcXBwYPXq1ZlufmgoDx8+xM7Ojvv37+dooWROzZgxA7lczvfff58yKeDdsZuoqCiqVauW7phNtWrVcr3vPykpKWVTyqSkJFxdXenevTuLFy9m9+7d/Oc//2HMmDGpuo+SNGpWBHoRFhONWqdFlsEHulL2+uv3PU/hUKwic+fO5ccff2TlypVUr16d+Ph41q9fn2b9DLwOkcuXL6cMrCsUipQQcXBwEAdRCR89ESj/io+P56uvvsLPzw8PDw+91xZkRb9+/ejYsSPjxo3L9XvB6w/EWrVqsXPnzky7u5KSkggLC0t3kkBERARVqlRJd8ymevXqBp2tJEkSZ86cYfny5Zw5c4bhw4fj5OTEL7/8wsuXL3Fzc+OTTz4hSatmke8/PE2KQ5PFRa+SWkOHirX58+u5hIaG8uzZM6ZOncr06dNTvQedTseFCxdSQqRYsWIpISLOVxeE1ESgvEWSJNzd3Zk9ezYrV66kf//+uXq/48ePM3XqVPz9/fPkg8nPz4/PPvuMu3fv5vh+KpWK8PDwdGejPXjwAAsLizRBU7NmTWrUqKHX+orw8HBWrlzJhg0baN26Nfb29mzcuJEWLVrQ8JuhPFTFZjlM3tAkq/Bfs5Mij17xxx9/UK9ePeD1+plz587h4eHBnj17MDc3TwkRGxubHL8HQSjsRKCk4+rVq7i4uNCzZ0+WLFmSa2sEdDod9erVY/369bl2bsjbvv/+e1QqFb/88kuuXF+tVnPv3r10Z6OFh4dTvnz5dMdsrK2ts7wiPC4ujs2bN+Pm5oaRkRG1WzampPMnKE1ytnmoUq3Dre1AJEnCy8sLDw8P9u7di6WlZcrAel60VgWhMBCBkoEXL14wbNgwoqOj2blzZ7YX2mXVsmXLuHLlClu3bs2V678hSRJ169Zly5YtNG3aNFfvlZ63N+N8dzZaWFhYymac6f1Jbw8rnU7HsWPH2HLvGia1qyBX5GwQXCGB6qgv+9ZupHr16ikhYm1tre9bFoSPjgiUTLx9Et9ff/1Fly767QOWnhcvXlC9enVCQkJy9QyLGzdu0KNHD8LDwwtcv/+bzTjTmyCQ3macb1o5FlZV+THoeLa7ut4m6SSKxaiY0sAp3/dXE4QPnQiULPDy8mLQoEGMHj2aH374weCL00aOHEnNmjWZMWMGcepk4v9dO1HcqAimSsPMqJo7dy5xcXH89ttvBrleXtHpdDx69CjdCQJxxY1o8/1XGBfL2mr6jBRVGvHfli4GqlgQPl4iULLo0aNHDBw4kCJFirBly5ZUGxzqy/vKJWa4L8NxZH9i1cmvF99JoJG0VC9Rli6VbahfxgK5LOdrG2xtbfnjjz9o2bKlwerObz7R99h06yLJUvY2Cn2XQiZnVesBBqpKED5eGQVK3q9qK+AsLCw4fvw4P/zwA40bN2bHjh16fzhLksTB+wEcUYVTu38XXqgSAdBo/78L505MNA9unsdYoWBMvTbULpn9brGgoCBevXpF8+bN9ao3ryUnJ/P48WMiIyN59OgRjx49SvX/8aVNsB7aHeNi+m3xrihgXYCCUNiIQEmHUqlk0aJFODo60qdPH2bNmoWrq2uOxiTe3jVZrdOiKJLxTLJknYZknQa3gFOMrONIo7LZmyDg4eGBs7NzgVm9nZiYmBIK74bE2/8fExNDhQoVsLCwoEyZMiiVSlQqFa9eveLx48doSppSS9FL73oMdby0IAjpE11e7/Fma/MaNWqwfv36bB/Jui/cn+MRN7N9rouxXMEUOyeszbLe5dagQQNWrVqV61OT4+Pj3xsSkZGRJCQkULFiRSwtLbGwsEj5r4WFBRUqVCA5OZmoqCjCwsLw9/fH398ftVpNw4YNsbe3x97enoYNG2JmZsaSu2fRFsn57z9GMgVdq9jQo5p+e6oJgiDGUPTy9uFLHh4eWd7o8UVyAt9f2Z/j2UkWRc34T+MeWXrurVu3aN++PQ8fPsxxCyU2NjZNOKQXGMnJyanCIb3AsLS0pEyZMshkMl69esX169fx8/PD398fPz8/goODqVSpUkpovPlvpUqVkMlkaLVajhw5wrp16zhz5gz9536NsnEtNGT87zUzSpmcRc16Y2as38C+IAhiDEUvJiYmrFmzhs2bN+Pk5MSvv/7KsGHD3vu605Ehet33WVI892KfU61E+pskvm337t189tlnacJEkiRiYmIyDIe3v6bVatMNB3t7+1RfK1WqVLrdf5IkER4ejr+/P7t3704Jj+joaOzs7LC3t6dJkyaMHDkSOzu7dNed3L9/nz///JP169djaWnJmDFj2Lp1K3ITY6Zf2gvZbOkBKJBhW9pChIkg5DLRQsmmgIAA+vXrxyeffMLvv/+e4TYjWp2Oby7uJlGrzvG9ZMhoWq4qI+u2SvOYJEm8fPkyJRBGjhyZcjb5u4GhUCjSbUG8+/9mZmZZHidKTEwkMDAwJTT8/f25fv06xYsXT9XisLe3x9raOtMp2Gq1moMHD7Ju3TouXbqUMnX7zUmPb5x/cIuNIZeQG2f99yAZUMLIhB8cumFmLI7cFQRDEC0UA6lfvz4+Pj6MGjUKR0dHdu3ale5q6/vxz5Fy2D3zhoTE1cfhPNl7Jk1IPH78GGNjYywtLSlZsiRPnjyhRIkSVKpUiebNm6cKDH13OY6KikrVXeXv709YWBi1atVKCY2+ffvSoEEDypYtm+XrhoaG8scff7Bx40Zq1KjBmDFj8PDwSHd7lpiYGGYMGkXtbm2Rt6wLWVgxL2m0yDU6pjfpKcJEEPKACJQcKFGiBNu3b2fFihW0bNkSd3d3evfuneo58WrVvydz6EcjgxcvX1KjRg1at26dEhIWFhYp2+8vXryYRo0a6b2YUaPREBISkiY81Gp1SoujS5cuTJ8+nXr16lGkSPZnTalUKjw9PXF3d8fPz48hQ4Zw/PjxTDdjfPnyJV27dqVRo0YMd+rJiNnf0PfHb4lOinvdBHmnm89IrgBJok6p8iwdOJ6+bhZ07tw527UKgpA9IlBySCaTMWnSJJo2bcrnn3/O+fPnWbhwocEPrJLL5Sz++edMu6I8PDz4+eefs3XddwfK/f39CQoKShkot7e3Z9KkSdjb21O5cmW9t3EJCQnB3d2dTZs2YWtry+jRo+nbt+97dyZ+/vw5nTt3plWrVixcuBAHBwfmz59P/+a9aeTUhsE/fcdThYYkrQadRkPs0xf0bdqO1hWtKW5UBLs16xg4cCA+Pj5UqlRJr/cgCELmRKDoqUWLFly9epXBgwfj5OTEjh07XrcejIz17vICMFEoM/0wDwsLIzw8nLZt26b7+NsD5W+3Op48eZIyUN64ceNMB8pzKikpiT179rBu3TqCg4MZPnw4586do1atWll6fXR0NJ06daJTp0788ssvTJw4MSXAvb29SX78jG9b9kj5/kRHR1O7dm02PH+e8rV27doxYcIEBg4cyMmTJ/PlhEpB+FiIny4DKFu2LIcOHeKnn36icePGbN26lcpVq5CclAxGOd8PTI6MBmUy/6169+7d9O3bF6VSSVJSEgEBAanCn1uJrwAAIABJREFU481A+Zsuq4EDB7J48eL3DpTrIzAwEHd3d7Zu3YqDgwMTJ06kV69e2ToeICoqig4dOtCnTx8WLFjAkSNH+N///oe/vz8AW7Zs4YsvvkgVtuXKlUOpVPLo0SMsLS1Tvj5z5kzOnDnDnDlzWLhwoeHeqCAIqYhAMRCFQoGrqysvXrygS5cuGBkZMfS3Ochsq5DTPXKVcjmdKtdL97GoqCj8/f1xc3OjZs2a2NraEhoaSu3atVPCo3fv3tjb22droDynEhIS2LVrF+vWrSMsLIwRI0Zw+fJlqlevnu1rRUZG0qFDBwYOHMicOXN4+vQpo0aNYsuWLZQqVQqVSsXOnTtJbwaira0tQUFBqQJFoVCwZcsWHBwcaNOmDZ9++qle71UQhPSJQNGTWq3m6NGjbNq0iSNHjtCpUydWr16Nu7s7Ead9qFK/GrocLmwsa1IcC5MSBAUFpequ8vPzQ6VSUbduXaKjo5k7dy6NGzfO8UC5Pvz8/HB3d2f79u20bNmS6dOn07179xx3LT148AAnJydGjhzJjBkzkCSJsWPHMmDAANq3bw/AkSNHsLGxwcrKKs3rbWxsCAwMpGPHjqm+Xr58ebZt20b//v3x8fGhcuXKOapPEISMFcpAiYh/ybnHd3iSGIdKp6Go0phaZuVoWcGaYkb6n8ooSRK+vr5s2rSJv//+m5o1azJ06FDWrFlD6dKlARgyZAjfffcd1z2OUrdfp2yv8JY0Wk4uXM0vR/pjaWmZMj134sSJKQPly5Yto27duowcOVLv95QdsbGxbN++HXd3dx4/fszIkSPx8/PT+3Cy8PBwnJycmDhxIlOnTgVg06ZNhISEpDqY7E13V3psbW25fv16uo998sknTJ48mQEDBnDq1CmMjAxzZIAgCK8VmoWNkiRx7ekDDj0I4EliLBqdDt1bH+LGcgUS0Mi8Mp9WqY9lsZLZvsfDhw/ZunUrmzZtIjExkSFDhjBkyBBq1qyZ4Ws8dnuwzu801h1aolNkcaaURkv1h0l8Ym2LnZ1dhutIWrVqxezZs+nWrVu230t2SZLE1atXWbduHbt27aJdu3aMHj2aLl26GGQs5s6dO3To0IFp06YxceJE4HXANG3alOPHj2Nvbw+8nkJcrVo1wsPDU8L7badOneKHH37g3Llz6d5Hp9PRvXt3GjRowOLFi/WuWxA+RoV6YaNW0rEp5CLXnj7IcBPGN1+/En0fv2cPGVW3Ffbm7+/2iIuLY8+ePWzevJlr167Rr18/1q5dS6tWrbI0lbZH99ezkJZv301t59drITLacVidkIg6IYlZbfpQr33mg/EREREEBwen6doxtFevXrF161bc3d159eoVo0aNIjAwMNUYhb5u3rxJp06d+OGHHxgzZgzw+nTHoUOHMn369JQwgdeTEDp06JBumMD/j6FIkpTu349cLmfz5s0p4yk9emRtrzRBEN7vgw8USZLYcOsC/s8eZmlHXwkJlU6L+83zjLNpg23ptB+MWq2WkydPsnnzZvbv30+b/2PvvKOiur42/MwMTUBBQUSliIooKip2FDFW1KCJvQd7bBisMZpiNIldscSANWLsvSIK2LGg2KJgQVBQEFEh0pm53x9+8BPpMwNY7rOWa+Hcc/c5lzLvnHP2fo+jI6NHj8bFxSXfuonMjfJ39zoyN8rr1q3LrZ+90KxVlRbD+5AkkSOTyACBDEGBjYEJEYHnWTV7HrKBV9i0aVO+z7F3715cXFyKlDlVWARB4OLFi3h5ebFv3z46derEwoULad++vdqt8f/99186derEb7/9hqura9brS5YsQSKRZC19ZbJlyxbc3NzyjFexYkWkUinR0dFUrlw51zbGxsZs27aNnj17cuXKFSwsLNTyLCIinzsf/ZLXmWf32RV2rcj28ADaUg3mNXXJMg28ffs23t7e/PPPP5iamjJ06FD69++f4wz4zIryd8Xjxo0bpKam5nDPfXejXBAENmzYwPfff8/SVSvo0sMFmUSKnoYWWjINYmNjqVatGikpKYSGhua7lObk5MTUqVNxcXEp8nPnxcuXL/H29mbt2rWkpaUxatQovvnmmxzPry5u3LiBs7MzixcvZtCgQdle79ChA0FBQdnOf3/8+DGNGjXi6dOn+SYfODk58dNPP9G+fft8+1+4cCH79+/n9OnT4n6KiEgR+CTt6wVBYOblA7xKS1Lqfk2JjNYVLIj2vcTmzZuJjY1l8ODBDBkyJMsKJLOi/F3xyExLfV88CltRHhwcTJ8+fejSpQuLFy/O9uY4depUvLy8qFGjBsHBwVmvyxUK0hVytGUaREdHY2try7NnzwqsNC8IQRA4c+YMa9eu5fDhw3Tr1o1Ro0bh5OSkcnV8fly9epWuXbuyatUq+vT53znvKSkpNGnShOnTpzN06NBs9yxYsICwsDA8PT3zjT127FhsbW2ZOHFivu0UCgUuLi7UqVOHxYsXK/8wIiKfGZ+koIS+jmH1v6dJVWQoHSM14Q3svsDgQYOxsrLi1q1bOSrK69Wrl0088tsoLyyvX7/G1dWVZ8+esXPnzqxP4jExMVhbW5OYmMimPTvQrFeNC8/DSJNnIJVIUAgCWilyEgJv4zXrN7Rkyq1axsbG8vfff7Nu3TpkMhmjRo1iyJAhGBkZqfRcheHSpUu4uLjg5eXFV199le3alClTiIiIYNeuXdkETRAE6tevz5o1a3B0dMw3/qpVq7h9+zZ//fVXgWOJi4vD3t6elStX0r276qdCioh8DnySm/J+UaEqiQmAto4OT2QZ9O7dGz09vSzRGDBgAPPnz6dmzZrFUlFuaGjIvn37WLJkCc2bN2fTpk04OztTqVIlho3/lqfVDTit/watZ/eR/3+2mvz/xT9VR4auUwOmXtyLs7ktXczrFmo2oVAo8Pf3Z+3atfj6+tKjRw/Wr1+Pg4NDsc5G3uXcuXP07NmTjRs30q1bt2zX/P392b59Ozdv3swxnhs3bpCYmEirVjmt/N/H1taWnTt3Fmo8RkZGbN++na+++go7O7tca1tEREQKx0c9Q/kp6BAxyf+pFEMiV9BQUY5e9VtSsWLhj9tVJ2fPnmXAgAEMHz6cMdPcWXTzBG/SUpAVojhQSyqjoZEZw2wckOYhCtHR0WzcuJF169ahr6/P6NGjGTRoEIaGhup+lHw5deoUffr04Z9//snh/vv69Wvs7Ozw8vLC2dk5x71Tp05FR0eHefPmFdhPdHQ0devW5cWLF4UWyiVLlrBz507Onj1bLIkOIiKfEnnNUNSbslPCKLMRnwOZlKrVLEpNTAAcHR0JCgoi8PpVfjq3l2RFRqHEBN5+D67HRbLz4dVsr8vlco4dO0bPnj2pU6cOYWFhbNu2jevXrzN+/PgSF5MTJ07Qp08fduzYkauV/Pjx4+nevXuuYiKXy9m6dWu2jfv8qFSpEgDPnz8v9PgmT55MpUqVmDFjRqHvERERyc5HveSlI1V9+BmpacyeMZNhAVcwMzPD3NwcMzOzHF+bmZnlevCTujA1NaXfgplceR5R5HvTFHLOxTyklWkNJK8Ts47QNTExYdSoUfz9998q7/mowtGjR3F1dWXv3r257n9s376dq1evcu3atVzvDwgIoEqVKtSpk7uv2ftIJJIsC5ZMcSnMPZs2bcLe3p42bdrw9ddfF+o+ERGR//FRC0pVfUOikxNUMonXLaPLdq8NGGdo8OTJEyIjI4mMjOTJkyecOHEi6+vIyEj09PRyFZt3v8489KqoJGWkcf1lFEiV28vIkMv5YfNqjsxeSv/+/dm/fz+NGjVSKpY6OXDgAKNGjeLgwYO0aNEix/XIyEjc3Nw4evRonoLt7e2dp9VKXmQWOLZr167Q91SoUIEdO3bg4uJCw4YNlTK2FBH5nPmoBaV9ldrcjItSaelLR0MTG0NTpBIJFStWxN7ePtd2giAQFxeXQ3T8/f2z/h8ZGYmOjk6BopPbmSMXoh+qdL6jIAG9ulbcCw/DuFzJLmflxe7duxk/fjxHjx6lSZMcy60oFApcXV2ZOHFirtcBEhMTOXjwIAsXLixS35kzlKLSvHlzfvjhB/r27cu5c+dK3GxTRORj5qMWFKuyRhholXl7FKwSaEikdKxaO8/N7HeRSCQYGxtjbGyc5yd/QRB4+fJltllNZGQkp06dyiZCWlpaOcTmZcvqpOmotqWlralJRGoCxpS+oGzdupXJkydz/PhxGjZsmGublStXkpiYyMyZM/OMkzmzKezSVSZ169Zlz549Rbonk0mTJnH69GmmTZvGihUrlIohIvI58lELikQioYelHZvvX1JqlpL0JpFwv4sIQ2urJW1WIpFgZGSEkZFRNv+pdxEEgVevXuUQnSR5GhJUK1KUCwL/paeoFEMd/P3338ycOZOTJ09Sr169XNvcuXOHuXPncvHixXyt7vNzFs6PzBlKXp5e+SGRSNiwYQONGzemTZs29O7du8j9i4h8jnzUggLQ1KQaDxNecD7mYZFERUsqo3elekyeNhKfg4fx8vIqkaI+iURChQoVqFChAnZ2dlmvT7+4l3hVxUAQUOSTBl4SrFu3jl9++QV/f39q166da5u0tDQGDRrEH3/8ka+9zPPnzzl//nyha0rexdTUFIVCQWxsrFLWMeXLl2fHjh1069aNRo0aUaNGjSLHEBH53Pio04Yz6VejMV9UqYWWtOACRJlEio5Mg0n12tGxUfMsc8AGDRpw8uTJEhht7pTRUL32QSqRoquG816UZfXq1fz6668EBATkKSYAv/zyC2ZmZowcOTLfeNu3b8fFxUWpRIfMTK87d+4U+d5MmjZtyo8//kjfvn1JSSn9mZ+IyIfOJyEoEomEnlaNmFi3LXXLV0ZDIkVDkv3RtKUa6Mg0aV/Fhl8af0lNg7d1Jzo6OixbtoyNGzfi6urK5MmTS+XNo4FR1RxjLippGemYa+Tc8C8Jli1bxuLFizl9+jTW1tZ5tjt37lxWkWVBS1FbtmxhyJAhSo9J2Y35d5kwYQJWVlZMmTJFpTgiIp8DH/2S17vUMqxELcNKvEpN4vLzcF6kvCFFnkFZTW2qlTWikbE5mnnMYjp27MiNGzcYPXo0zZo1Y+vWrXmu/xcHbavUwi8qVPkAAiSHR1O3hzU9evTA1dUVJycntdvN58aCBQtYu3Ytp0+fztcKPiEhIetky4I22UNDQ7OOA1aWzNRhVZBIJKxfvx57e3t27NhBv379VIonIvIp80nMUN6nvLYunc1tGWTdjBG1HehbozHNTKrlKSaZGBkZsXv3br777jvatm2Lh4cHCoVy58EXlQraelgbKF+try3TYGaPQYSGhtKwYUO+++47qlevzk8//cTDhw/VONLszJ07lw0bNhQoJgDu7u60a9eOHj16FBj3n3/+YcCAAUqfTQ/qmaEAGBgYsGvXLiZMmMD9+/dVjici8qnySQqKKkgkEoYPH87FixfZtm0bXbp04enTpyXSd5/qjdFSovpfUyLFqpwxNgaVqFSpEu7u7ty4cYP9+/eTkJBAy5YtcXR0ZP369SQkJKhlrIIg8OOPP7J9+3ZOnz5N1ar5nzC5f/9+Tp06xbJlywoVW9nsrndRxwwlE3t7e+bMmSPup4iI5IMoKHlQs2ZNzp49S4sWLWjUqBH79u0r9j6r6hky1taxUMkFmciQYKprwDjbNjn2JBo2bMjy5cuJjIxk6tSpHD58GHNzcwYPHszJkyeRy5UrCBUEgRkzZnDw4EFOnTqFqalpvu2jo6P59ttv8fb2LpQFzIULFyhTpozKlf6VK1cmLS2N2NhYleJkMnbsWGrVqsV3332nlngiIp8aoqDkg6amJnPmzGHfvn1MmTKFkSNH8uaNckWUhcW2fGXc67dHX0Mb7XzOOlFkZCBPS+dp0G2m1m+fb1stLS169OjBvn37ePDgAc2aNWP69OlUq1aNWbNmce/evUKPTxAE3N3d8fPzw9/fv0BTTUEQGDFiBCNHjsTBwaFQfWTOTlStDZJIJGqdpUgkEtauXYufnx/btm1TS0wRkU8JUVAKgYODA9evX0cul9OoUSMuXbpUrP1VL2fMwhZf41qrJfKYV0gUAjoyTcrINNGRaaBIyyDt3wiiPA9wZPpCVq9YWejYFStWxM3NjWvXrnHkyBFSUlJo06YNDg4OeHl58fr16zzvVSgUjB8/nsDAQPz8/ApVt+Pl5UV0dDQ//fRTocaXlpbGrl27GDhwYKGfKT/UtY+SSbly5di1axdubm6EhqqQRCEi8ikiCEKe/xo3biyIZGfXrl2CiYmJ8Ouvvwrp6enF2ldGRoZgbGws/Bt2X3iU8EK49zpGiHzzSgi8fEmoUqWKYGxsLPTq1UvQ0dERXr58qXQ/aWlpwqFDh4RevXoJ5cqVE/r37y/4+PgIGRkZ2cYyYsQIwcHBQYiPjy9U3NDQUMHIyEi4c+dOoceyf/9+oU2bNkV+hrxYtmyZMH78eLXFy+Svv/4S7OzshKSkJLXHFhH50AGChFw0Q5yhFJHevXtz9epVTp06hZOTE48ePSq2voKCgjA1NcXWqibVyhphbWBCVT1DWjRtRsOGDWnWrBmGhoZoamryzTffKN2PpqYmX375Jbt37yYsLIzWrVsze/ZsLCws+P7777l9+zbDhg3jwYMHHD9+nHLlyhUYMyMjgyFDhvDzzz8X2nYelLdayQt1z1AyGT16NHXr1sXNzU3tsUVEPlpyUxlBnKEUiFwuFxYvXiwYGxsLmzZtEhQKhdr7+Omnn4Rp06blei0wMFAwMzMTDA0NBU9PT0EmkwmBgYFq7f/27dvC5MmTBR0dHaFcuXLC8uXLCz0T+uWXX4ROnToJcrm80P29evVKMDAwEF69eqXskHMQGRkpmJiYqC3euyQkJAi1atUSvL29iyW+iMiHCuIMRb1IpVKmTJnCyZMnWbhwIf369ePly5dq7ePYsWN06dIl12stWrTA1tYWOzs7IiMjsbOzo2/fvghq9PKytrYmPDwcJycnNm/ezIULF6hWrRp9+/bl6NGjZGRk5Hrf5cuX+fPPP9mwYUORCit3795Nhw4d1HqaZJUqVUhJSeHFixdqi5lJ2bJl2bVrF+7u7ty9e1ft8UVEPjpyUxlBnKEUiaSkJMHNzU0wNzcX/Pz81BIzJiZGMDAwEFJTU/Nsc+7cOcHMzEwwNjYW7ty5I8hkMmHhwoVq6T8lJUVwcXERunfvLqSkpGS9/vLlS2HNmjVC8+bNBVNTU2Hq1KnCrVu3sq6/efNGsLa2Fnbu3FnkPp2cnIR9+/apZfzv0qJFC+H06dNqj5vJ2rVrhXr16gmJiYnF1oeIyIcEecxQJEI+n2ibNGkiBAUFlZy6feQcP36c4cOHM3DgQObNm6fS4Uze3t7s27ePvXv35tuuXbt2xMfHM2zYMO7fv4+npycxMTEYGBgo3XdycjI9e/ZET0+PrVu3oqWVu+FkSEgIf//9N5s3b6Zy5cq4urpy7do10tPT8fb2LlKfjx8/xt7enqioKLUfajVy5EiaNGnCt99+q9a4mQiCwNChQ9HU1GTDhg3F0oeIyIeERCK5KghCjlPxxCUvNdK5c2euX7/O/fv3ad68uUqbwfktd73LTz/9xPPnz1myZAkLFixAT09PpZTbxMREXFxcMDQ0ZPv27XmKCUDt2rX5448/ePz4Mb///ju7d+9m06ZNxMfHc+jQIdLT0wvd79atW+ndu3exnJBYXBvzmUgkEtasWUNgYCB///13sfUjIvLBk9u0RRCXvFRCoVAIXl5egpGRkbBy5coib9hnZGQIRkZGwpMnTwrVl6Ojo2BtbS3s2LFDOHz4sCCVSoULFy5ktUlKTxVikhKEqDevhdepSYI8j/EkJCQIbdq0EYYOHZotZbgwxMbGClWqVBEOHTokeHl5CQ4ODoKJiYng7u4u3Lhxo8BnsLW1Fc6dO1ekPguLj4+P0K5du2KJ/S63bt0SjI2Nhdu3bxd7XyIipQniklfJc//+fQYNGoSRkREbN24s0KIkk8DAQMaMGcPNmzcL1f7kyZO4urpiamrKlStXaN26NRGPH3P0+kV8o+4SlvACDYkUieTtqY46Mk06VLWhtWlN9DXfzgji4+Pp2rUrtra2eHp6FmkzXRAEevXqRfXq1Vm8eHHW6/fu3WPz5s1s3rwZIyMjXF1dGThwYI7q+uDgYHr27ElYWJhaTs58nydPntC0aVOio6PVHvt9Nm7cyOLFi7l8+bJS57iIiHwMiEtepYC1tTXnz5+ncePGNGzYkIMHDxbqvsIud2XSvn17LCwsePr0KadPn8Zj60a+WDmTP28GcD/+OXJBQaoigxR5BukKOf+lp3D48W1mXNrHnrBg4l6+pGPHjjRo0KDIYgJvj/x98OABv/32W7bXa9Wqxbx58wgPD2fx4sUEBQVhbW3NV199xf79+0lLSwPUZ7WSF2ZmZiQlJREXF1cs8d9l2LBhNG3alHHjxqk1405E5GNAnKGUEOfOnWPIkCF06tSJpUuX5vvptUmTJixZsgQnJ6dCx/fx8WHEiBE0/7oLVQZ0JL2QxyFrSmTEXL9L1YfxLFu6tMhv6o8ePaJZs2b4+fllO9I4LxISErL2WkJCQujfvz/btm3jzJkzRSqALCotWrRg0aJFODo6FlsfmSQmJtKsWTOmTJnC8OHDi70/EZGSRpyhlDKtW7fm+vXrJCcnY29vT15CHRMTw4MHDwptpJhJ586dqd60AeV7tCq0mACkC3Iq1K1B8/EDiywmcrmcoUOHMmPGjEKJCbz1who+fDhnzpwhMDCQV69ekZCQQL9+/Vi6dCkxMTFFGkNhUadJZEHo6emxa9cuZsyYwa1bt0qkTxGRDwFRUEoQAwMDNm/ezK+//krXrl357bffcljIHz9+nA4dOqCpqVmk2BKJhJaThqKho0SWlIaM8zFhxCQV7ayUxYsXI5PJcHd3L3qfQI0aNZBKpSxYsIAVK1Zw8+ZNbGxscHFxYc+ePaSmpioV931epSZh0rEZ18tnsOjGCVbePsWesGBik/9TS/zcsLW1ZcmSJfTt27fYHapFRD4UxCWvUuLJkycMHTqUjIwMvL29qVatGgD9+/enY8eOjBgxokjxniXF81uwT5FmJ+8iQ0LryjUYWLNZodoHBwfTqVMngoKCsLS0VKrPxMREzMzMCAkJyToS+M2bN+zZs4dNmzZx69Yt+vfvj6urK40bNy7yDOpBfCyHH9/ifvxzFAoFindul0kkSCVSLPQr8KVFPWzLV1bqGQpixIgRpKam4u3tXWx7RCIiJY245PWBYW5ujp+fH927d6dp06Zs2bKF9PR0Tpw4gbOzc5Hj+UWFIlfhuGI5AoExj0iV526n8i4pKSkMHjyYpUuXKi0mAAcOHKBly5bZzpfX19fnm2++ISAggKCgIExMTOjXrx/16tVj0aJFPHv2rFCx/aNC8bjtz93X0WQI2cUE3ma7pSvkPEyIZc2dMxwIv1Esm+grV67kxo0brFu3Tu2xRUQ+NERBKUWkUinTpk3D19eX33//na5du1KlSpUCj9PNjetxkShQ7Q1RKpHy6L+CPa9mzpxJ3bp1VXYFLshZuFq1avz00088ePCAv/76i5CQEGxtbenatSs7d+7M8yjegKf32Bd+nbRCztbSFHJORoVwKEL9+x26urrs2rWLH374gRs3bqg9vojIh4QoKB8AjRo1IigoiFevXvH48WNOnz5d5Bip8sJXpeeNQGJ6Wr4t/Pz82LVrF2vWrFFpCScmJobAwEC++uqrAttKJBIcHR1Zv349kZGRDBw4EC8vL6pWrcrYsWO5dOlS1uzi8ZuX7HkUXGgxySRNIedE1F3uvlJ/rUrt2rVZvnw5ffv25b//im/fRkSktBEF5QNBV1cXQRCYNWsWAwYM4Pvvv8+q0/hQePXqFcOGDWP9+vWFOq0xP3bs2EH37t3R1dUt0n16enoMHjyYkydPEhwcjJmZGYMHD6ZOnTrMnz+fffeukqHk0l+aQs6Rx7eVurcgBg0ahJOTE6NHjxbrU0Q+WURB+UCIjo4mLCwMd3d3rl+/zp07d2jRokWhbdF1ZEXLCssdSVblfG6MHz+eHj160LlzZ5V78vb2VnnJzMLCglmzZnHv3j02bNhAWORjbr2KQlBh6S/8TRwvUoonK8vDw4M7d+7g6elZLPFFREobUVA+EHx8fLLShU1MTDhw4ABjxozB0dGRP//8s8BPtfbGFshUzCISBIHq5YxzvbZt2zaCg4NZsGCBSn3AW5fiqKgo2rVrp3IseLsk5uDgwIAfJqGjraNSLIUgcPbZA7WM633KlCnDrl27+PHHHwkODi6WPkREShNRUD4Q3rdbkUgkjBkzhvPnz7NhwwZcXFzyLfprV7UWUonyP06ZREIr0xpoSmU5rj158oRJkybh7e1d5CWq3Pjnn38YMGAAMlnOvlThWVIC6YLymW4AckHB06R4NY0oJ7Vq1WLlypX07duXhISi1f2IiHzoiILyAZCRkZFnurCNjQ0XLlzAzs6Ohg0bcvjw4VxjVCpTDnO98kqPQSqR0K5KrRyvKxQKhg0bhpubG02a5Eg7LzKCILBlyxaGDBmicqz3Sc5QR2ICpKglwSFv+vfvT4cOHRg5cqS4nyLySSEKygfAxYsXsbS0pEqVKrle19LS4vfff2fHjh1MmDCBcePGkZSUlKPdYOtmaEs1ity/llTGF1VsqFimbI5rK1asICkpie+//77IcXPjwoUL6Onp0aBBA7XEexddjbzPbimNOPmxbNky7t+/z59//lnsfYmIlBSioHwAFNZduE2bNly/fp34+HgaN27MtWvXsl2vqmfI+LpOaBVBVLSkMuyNzelZrWGOa//++y+//fYb3t7eaGgUXahyI3Mzvjiqxs31DdHKZcmuKGhKpSrN9AqLjo4Ou3bt4pdffuHq1avF3p+ISEkgCsoHwNGjR+natWuh2holXis6AAAgAElEQVQaGvLPP//w448/4uzszPz587P5gdkYVmJ6g44YaevlO1vRksrQlMpwNrPFtVbLHG/waWlpDB48mD/++IMaNWoo92DvkZqayu7du1U6UTI/mlS0VLG0EwQBHCvXVMt4CqJmzZr8+eef9O3bl/j44tu3EREpKURBKWWePXtGREQELVq0KNJ9AwcO5MqVKxw7doz27dvz+PHjrGvm+uX5rWl3JtZri12FqkglEjJS0xDSM5AI8Cb6BbXeaLC4eU+6WdbPdbbw888/Y2FhUWRPsfw4duwY9erVw8LCQm0x30VHpknzitWQovzsp055Uwy0yqhxVPnTp08funTpwvDhw8X9FJGPHlFQShkfHx86duyo1JKSpaUl/v7+ODs706RJE7Zt25Z1TSKRYG1gwvi6Tqx06Eu14Bh2DZ3OtGoO7B4yjWuHThKb8oanifG8Sc/u6nv27Fk2bdrE2rVr1bo0VVyb8e/SyawOGkU8ICwTLamMbub11DyiglmyZAnh4eGsXLmyxPsWEVEnottwKdOnTx+6deuGq6urSnGuXr3KoEGDaNKkCatXr8bAwCDb9ZSUFKrWqEafHyaRVr0iEg0Z+nr6gECGQoFl2Qp0NrPFUqMsjRo2ZMWKFbi4uKg0pnd5/fo11apVIzw8HENDQ7XFzY3gF09YH3qhSM7LWlIZfarb06aydTGOLG8ePnxIy5YtOXLkCE2bNi2VMYiIFBbRbfgDJCMjg5MnTyrlLvw+mZv0ZcuWpUGDBpw9ezbrmkJQcCDqNr3/WUx6rcpo6uuioaNNijydFHkGGYKChwkvWB96gemX9tFxYC+1ignArl276NixY7GLCUAjY3NG2DigJZUhKWAVSYoETamMftUbl5qYwNuzYdasWUO/fv149epVqY1DREQVREEpRQIDA6levTqmpqZqiaerq8uaNWtYtWoVffv2ZdasWaSkpvLnnTOci34IMikaOnmnxKbKM5CU0UKrS1NuxkWpZUyZFOQsrG4aGZsz274L/12/h0Qh5EhQyExKaFrRku8bdqJ1CW3E50evXm+FfNiwYeJ+ishHibjkVYrMnDkTmUzGvHnz1B47JiaG4cOHo+1Un8otG5JB0SrItaQypth1oFpZ1UwgASIiImjSpAlRUVFoaRV/jUcmt2/fpmPHjoQ8uM/t/2J4mvR2v0hPQ4tKuuVoWtGyRGpOikJaWhqtW7dmwIABSp+EKSJS3OS15KWe4gIRpTh27BirV68ultiVKlVi7c5/+DXoSJHFBN467/7z4DKzGhVcH1MQW7dupU+fPiUqJvD2iOIJEyZgoKdPKz39Eu1bWbS0tNixYwfNmzfHwcGB5s2bl/aQREQKjbjkVUpERUXx5MmTYn3D8Ht6D4mSGU/w1hvraaJq9RGCIKjFWbioREZGcvDgQcaOHVui/aoDKysrvLy86NevHy9fvizt4YiIFBpRUEoJVdKFC0OKPJ1Lzx+pdIqjXKHALypEpXEEBweTkpJCy5YtVYpTVDw8PBg6dCgVKlQo0X7VxVdffUXPnj1xdXUV91NEPhpEQSklCmu3oixhCS+QqeA+DKBA4OZL1TbnMzfji8NqJS/i4+PZsGHDR78HMX/+fJ4/f86SJUtKeygiIoVCFJRSID09XW3pwnmRmJEGKhuRqOa8m5GRwbZt20p8ucvT0xNnZ2csLS1LtF91k7mfsmjRIi5cuFDawxERKRBRUEqBCxcuULNmTSpVqlRsfahiP5Id5eP4+/tjYWFBrVo5bfGLi9TUVDw8PJg2bVqJ9VmcWFpasm7dOgYMGEBcXFxpD0dEJF9EQSkFjh07VmgzSGXR09RCFTHIpIyG8kcLl3TtCbzNKKtbty4NG+Z0T/5YcXFxoW/fvgwdOhSFQrUDxEREihNRUEqBo0ePFuv+CUCNchURVDy9UIaExsbKGTkmJiZy8OBB+vXrp9IYioJCoWDx4sVMnz69xPosKX7//Xdev37NokWLSnsoIiJ5IgpKCRMZGUlUVBTNmjUrtj4ePHjAVPfJ3Nx3AiGj8H5W75OamoqPx3qlllr2799Pq1atMDExUbr/onL06FG0tLRo3759ifVZUmhqarJ9+3aWLVvGuXPnSns4IiK5IgpKCePj40Pnzp3Vfp66IAicOHECFxcXWrZsia6uLivGzUBLS/klK70UBXs2bcHU1JS+ffsSGRlZ6HtLwln4fRYtWsT06dNLNKOsJDE3N2fDhg0MHDiQ2NjY0h6OiEgOREEpYdS93JWUlISnpyf16tXD3d2d7t27ExERwR9//IFddWs6VKmt1CmG6UkpNEgpQ1xcHPPnz8fX1xcrKyu+/PJLQkND8703JiaGixcv0r17d2Ufq8hcunSJiIgI+vTpU2J9lgZdu3Zl4MCBDBkyRNxPEfngEAWlBElLS8Pf35/OnTurHOvx48fMmDEDS0tLjhw5wooVK7h16xajRo1CV1c3q12Pag1oUtGySKKiLdWgb8U6zJv2A7/88gvu7u7ExsayZMkSzp8/T/369fniiy8ICroCybfg5WZ4sRLiPOH1bg7s3USPHj2yjaO4WbRoEZMnTy62QtEPiXnz5pGYmMj8+fNLeygiItkQzSFLkICAAGbMmMHly5eVul8QBM6fP4+Hhwf+/v4MHTqUCRMmFHhEryAIHI+8w5HHt5EgIVWRkUsjUKSnU9mgAmPqOFJVz5DY2Fh69epFhQoV8Pb2pmzZsqSlpbFh/RruXFzMxMFlMaukhba2DKlEDkhAok1qagrxGfUwsZkGZRoo9axF4f79+zg4OPDo0SP09T8Ozy5ViYyMpEmTJuzcuZM2bdqU9nBEPjPyMocUBaUEmT59OmXKlGHOnDlFui81NZUdO3bg4eFBQkICbm5uuLq6UrZs2aLFkWdwJTaC40/uEJvyHxpSGSkpKWhpa1HXoDKLh7tx9fipbHYlaWlpjB8/nkuXLnHgwAGszHQhcgRCRhwSITnPvgQkSCTaYNATKk4FFav282Ps2LEYGxszd+7cYuvjQ8THx4eRI0dy7dq1Ek1+EBERBeUDoH79+qxdu7bQ58dHR0fz119/4enpSf369Zk0aRJdunRBqoLhYybpCjlJGWnUrWPLpbPnqVqlCt27d6d///4MHDgwW1tBEFi5ciUbvBZweZcVWrJkoJDZYxIdKNsJKs2BYtgsf/78OTY2NoSEhBRroeiHyqxZs7hy5QrHjh1Te6KHiEheiCc2ljJPnjzh2bNnhTreNSgoiCFDhlCnTh2io6Px8/PD19eXbt26qUVMADSlMgy0ylBeV5+4Fy8A6N69OwcPHszRViKR4DZxAue21wXFfxRaTACEFPjPF15vK7itEqxatYp+/fp9lmICMGfOHNLS0vj9999LeygiIqKglBTHjh3LN104IyODnTt30qpVK3r16kX9+vV5+PAhf/31F7a2tsU2rooVK2aloHbr1o3jx4+TlpaWs2HSRfS136ClqcQsQ0hB8eIvEJSvicmNxMRE1qxZw5QpU9Qa92NCQ0ODrVu38ueffxIQEFDawxH5zBEFpYTIy104My3XysqKVatW4e7uzsOHD5k+fXqJWK+bmJjw/PlzACpXrkytWrWynUefxcuNICQp3U/im9dsWDmMqCj1HS28YcMGHB0dsbYuvbPgPwSqVKnC5s2bGTx4MDExMaU9HJHPGFFQSoDc0oVv377N6NGjqVmzJiEhIRw4cIAzZ87Qu3fvEk19fXeGAm99ow4dOpS9UXo0pNxUqZ+yelLszK9Rp04dRo4cyb1791SKl5GRwdKlSz9JmxVl6NixIyNGjGDgwIHI5eqdCYqIFBZRUEqAc+fOUbt2bSpUqMDBgwdp3749HTt2xMzMjJCQEDZt2oS9vX2pjO3dGQr8bx8lW7JG2kOQKF9xn0n9Wrro6+tz9uxZmjdvTp8+fbh69apSsXbv3o2ZmVmhExw+B37++WcEQfjsst1EPhxEQSkB9u/fT/ny5alVqxZz585l2LBhRERE8NNPP5X6ZvL7M5T69esjl8u5c+fO/xop3oAaTg3U1hQICwvDzc0NXV1d7t69S9euXenUqRMBAQGFPplQEAQWLlwozk7eQyaTsXXrVry8vPDz8yvt4Yh8hoiCUozcv38fNzc3Vq9ejVwux9vbm8uXLzN48GC0tLRKe3jAW0F5d4YikUhyZHvJBS3k6rD5kGiio6PD+PHjefjwId9++y2amprExsYybNgwWrRowf79+wu0FPH39yc5OZlu3bqpPqZPDFNTU7y9vRkyZAjPnj0r7eGIfGaIgqJmMk0av/zyS1q1aoVcLsfAwIDjx4/j4ODwwRkXmpiYZJuhCIJA48aN2bhxI1OnTsXJyYnWbfuQmqL8hnwWGhWzvtTR0WHChAk8ePCA4cOHk56ejiAIzJo1i3r16vH333+Tnp77aZELFy5k2rRpakuh/tRo3749Y8aMYeDAgWRk5OKKICJSTIh/kWriXZPGyZMn0+vrL4kID6d+/fpqrR9RN4Lwdhlq9uzZdO7cGWNjY2bPnk14eDja2tr8+OOPHD15D91yKh6nKykDhgNzvKyjo8PEiRN58OABgwcP5vXr11SoUIE///yTmjVrsmLFCpKS/idmN27c4NatWwwaNEi18XzizJ49Gw0NjWyuDK9fvyY4OJjTp0/j5+fH6dOnuXr1Ki9fviz0cqOISH6IlfIq8vjxY1avXs2Rg5v4caINX38hR1OWhOT/T0uMfC4lMrEDLTr+DNIypTrWuLg4goKCuHLlCleuXCEoKIiUlBQSEhKYOXMmTZs2pWnTppiamtKnTx+6du3KsGHD3t4cvw+eL1I+dViiDdX9QJa/11ZycjJeXl4sWLCAWrVqIZPJuH37NhMmTGDChAlMnDiR+vXrM2PGDOXG8RkRExODvb0969evR1tbm5SUlFwzwGQyGVpaWlhbW2Nubv7BzaJFPjxE6xU1IggC586dw8PDg6tXAjjk1RBbq4T/P8c9Z1GgAh2kEgmUHwJG3xarr1Umb9684erVq9kEJDY2lsaNG2cJR9OmTTE3N0dHR4fExMRs+zqbN29m//797N279/8fIhnCOr7doC8qEm0o1w0q/VToW5KTk/H09GThwoXUrVsXPT09Tp06RWpqKteuvU0/FskfQRDw9fXlzZs3aGtrF9heJpNRuXJlGjRoIIqKSL6IgqIGUlNT2b59Ox4eHrx584bvpw7HtV0AUsVLIPf1/mxIdEC3BVRZDBL11ZqkpqZy48aNLOG4cuUK4f+/3PaueNjY2OS69Fa5cmWuXr1KlSpVsl578eIFNWrUICYmBh0dnbcvJgdD5Ni3diqFRgO0qoGFt1IztMylxIULF6Kjo4OOjg4xMTH06tWL6dOnf/ZFjflx9+5dwsPDi1SXIpPJqFKlCnZ2dqKoiORJXoLy6R8eoQaio6NZs2YNnp6eNGjQgHnz5uHcqTXSJ4Mg/QWF9rYSUiDpIsTMgUq/KmWWmJGRwZ07d7KWrK5cucKdO3eoVasWTZs2xcHBgUmTJlGvXj00NQtXO5KZ6fWuoBgbG2NnZ0dAQMD/KvzLNIIqS+HplP8XlQLW3SXab8XEzFPp5T5dXV3c3d3p27cv1tbW6Ovr06pVK2QyGQ4ODnzxxRfMnDmTRo0aKRX/UyUuLq7IYgIgl8t5+vQpJiYmVK5cuZhGJ/Kp8mHuFH8gvGvS+Pz5c/z9/Tl+/Dhdu3ZF+modZMRQJKNE+H+zxJOQXPDMTxAE7t+/z9atW3F3d6d169YYGhrSt29fAgICqF27NitWrODFixdcv36dtWvXMnr0aBo1alRoMYGcmV6Z5GoWqecAFltA7wuQaCFX5NKPRBekBlBhOJhvBplhoceSF5s3b6ZPnz6Eh4fTtm1b9u/fT+vWrbG0tMTFxQVnZ2dOnTolbi7/Pw8ePFC6Yl4ul/PgwQM1j0jkc0Bc8nqP9PR09u3bx/Lly4mKimLChAmMHDmS8uXL/6+RIg0efgFCopK9SECvNVRdmfWKIAhERkZmW7a6evUq5cqVy7Zs1bhxYwwMDFR7yPcYMGAAX375ZY7MqZCQEDp06MCTJ09yX/7IeEmgzzSMde9hXqUcYeFPsK3nBIY9Qc9Rbct6KSkpWFlZ4evrS/369YG3xpB//fUXixYtonXr1tjZ2bFlyxaMjIz4/vvvcXFx+WAz64qb5ORkAgICVDoiWCqV4ujoWOQzd0Q+D8QlrwKIi4tj7dq1rF69GisrK6ZMmUKPHj1y99V6c5ICl3vyRUBIvEiA7w7OXQzNEhCFQpElHO7u7jRt2rREDk7Ka4ZiY2ODrq4uwcHBuVvDaFRg7V6B5s0H06VmFzqNdCAycmXOdiqyZcsWGjVqlCUmAHp6ekyZMoVvv/2WNWvWsHjxYtq0aUPLli359ddf+eGHH5gxYwYDBgwo0mztU0AdBpwKhYLHjx9Tt25dNYxI5HPh8/wI9w63b99m1KhR1KxZk9DQUA4ePMiZM2fo1atX3iaN8QdUct4FSEpO5cb5tzUWrq6uXL58mZiYGI4cOcIvv/xCt27dSuwUvvftVzKRSCS5m0W+w7Vr17C3t8fQ0JD4+Hi1j02hULB48WKmTZuW63U9PT2mTp3Kw4cPadq0KfPnz8fa2hp3d3c2bdqEtbU1q1atylbLkh+CIJCQkMDz58959uwZL168yN3O/wMmKSlJpdnJu3FERIrCZykocrk8y6SxU6dOWFhYEBoaysaNGwu3uSuPU3kMumVkuLu5Mn/+fHr16oWFhUWpZdW8bxD5LnkdugVvs8tCQ0OpX78++vr6JCUlqd3p9tChQ5QtW5a2bdvm205PT49p06bx8OFD7O3tmTVrFpUqVWL+/Pn4+flhZWXFb7/9xqtXr3K9PyMjg/DwcPz9/Tl//jzXrl3jxo0bBAUFcfLkSYKCgnj16tVHsUejrup4scpepKh8Vkte8fHxbNy4kZUrV2JkZMSkSZPo06ePEr5aqn/6kyCA8GH8weY1QwFo1aoV4eHhREVFUbVq1WzXbt++jbW1dVZacdmyZUlISMi+36QimTYrhRVbfX19pk+fzrhx41i9ejWTJk2iffv2rF+/nt27d1OzZk1GjBiBu7t7VhbT8+fPs1yP8xLE6OhoYmNjKVeuHM2aNftgltFSUlJ48OABoaGhhIaGEhISQrVq1WjWrJnKsT8UvzmRj4fPYoaSadJoZWXFxYsX2bJlC5cuXWLQoEHK/dFIy6lhVFogU+/murLkN0PR0NCgS5cuHD58OMe1a9euZZvRGRgYqHXZ6/z580RHR9OzZ88i36uvr8+MGTN48OABdnZ2WX5hu3btIjU1lbp16zJmzBiuXbtGUFAQcrm8wNmVXC4nPj6es2fPlugymCAIREdHc/r0aTw9PZk8eTJdu3alRo0aGBoa0rt3bzZv3kx8fDxt27albdu2KickpKSksH//ftauXcvjx4/V9CQinzqf7Awl06TRw8ODK1euMHLkSG7evImZmZnqwfXbQmpIEQv83kMiAd2Cz5cvCfKbocDbQ7c2b97MmDFjsr2euX+SiboFZdGiRUyePFmlA8fKli3L999/z/jx41m1ahX9+/enU6dOHDlyhDNnzvDo0aNCVZFnolAoSElJ4dKlS7Ru3Vqty5TvzjZCQkKyzTo0NTWpXbs2NjY21K5dm7Zt22JjY0P16tWzzZZu377Njz/+yMCBAylTRnmrH5lMxn///UdAQACzZs3C2NiYzp074+zsTJs2bVSKLfLp8skJSmJiIt7e3qxYsQKZTMakSZPYvXu3ev8ADL6GuD9Vi6FVDbQ/jCrv9y3s38fZ2ZlRo0aRmJiInp5e1uvBwcEMHPg/w0d1CkpISAgXLlxg69ataolXtmxZZs6cyYQJE1i5ciU9evRgwYIFRRKTTBQKBW/evCE2NrbIiROCIBATE5NDMEJDQ4mKiqJatWpZwtG2bVu+/fZbbGxsMDIyyjNmSkoKW7Zs4Y8//iAiIoKKFSvSs2dPdHV1ld7zkUqlXLt2jUePHvHdd9/RvHlzLl68yLx587h+/TqtWrXC2dkZZ2dnbGxsxKp6EeATEpSIiAhWr17Nhg0baN26NatXr6Zt27bF84suM3hb2PfmBMrspyQmC0QnOVFDRQNfdWFoaEhycjKpqam5vsEaGBjQrFkzTpw4wVdffQW83bC9desWDRo0yNbu9evXahnTkiVLGDduHLq6umqJl0nZsmX54YcfGDFiBJcuXVI6TmbxX16CkjnbyE04tLS0sLGxyTbbqF27NlZWVkXamwkNDWXBggVs27aNjIwMmjVrxsaNG3F0dCQlJYVTp04plSQhk8lwcnKiR48eBAcH4+HhwaJFi+jduzdr1qzBzMwMf39/fHx8WLp0KRKJJEtc2rVrp/Y6KZGPhxITlOSMNK7EPuZ5cgLJGenoaWpTVc8Ae2MLNKUypWK+a9IYEBDAN998w+XLl6levbqaR58LxhMg6RwoilbcqBA0SBUq4NRtDgMGPmLOnDlqf9MsKhKJBGNjY2JjY/NcEsxMH84UlJCQEKpWrUq5cv/bT1LXDCU6Opo9e/YQGhqqcqy8iI2NRSaTqZS19fr1ayIiInj06FGOZar3ZxtffPFFoWYbBZGamsrevXtZsGABd+/eRSaT8c033zBr1izMzc2z2pUpU4ZmzZpx+fLlIomKVCqlUaNGWQWNjRo1YtOmTcTExODl5UWnTp2oU6cOkyZNYs2aNUilUkJCQvDx8cHT05OhQ4fSqFEjnJ2d6dy5M40aNfpsC0w/R4q9Uj4q8TW+kXe4+uLJWy9exf9+ubWlb/WslWkN2le1wVgnf2vzTN43aXRzc+Obb74p+are5GCIHAdCcqGayxUyomLSyKiyGX2DqkyaNImgoCDWrVuHk5NTMQ82fxo2bJhv2nRYWBgtW7bk2bNnSKVSvL29OXLkCNu3b89qM27cOGxtbZkwYYJKY/nhhx+Ij49n9erVKsXJj4CAABITlXU6eEtycjLe3t68fPkySzgyZx1FnW0UxMOHD1m9ejXr1q1DLpdjZGTEzJkzcXV1zXc59+XLl1y+fBmFQpFvbYpUKkUikdC4ceN8l/HS0tLYtWsXHh4exMXFMWHCBIYPH541K0lKSuLMmTMcP34cHx8fXr58SceOHXF2dqZTp04lVlslUryUitvwmWf32Rl2DblCgSKfynKZRIKGRMboOq2pV6FKnu2ePXvGmjVr8PLyomHDhri5ueHs7Fy6n4BSQiBqHChS8il2lIJEC7TrsOmkPXPmLuXs2bOYmZlx8OBBxo0bh4uLCwsWLMj2ib8k6dixI1OnTqVz5855tqlXrx7r1q2jRYsWuLu7Y2pqmu1ckpkzZ6Kvr8+sWbOUHsd///2HlZUVly5dokaNGkrHKYgTJ06QmpqqUgyJRIKtrS1WVlZqGlV20tPTOXDgwNtjEv4/rblly5bMmjWLL774otDLuWlpaTx+/JiwsDDkcjmCIKBQKLJERCqVUq1aNSwtLf/nLF0AgiBw8eJFPDw88PX1ZdCgQUycOJFatWplaxcREZElLv7+/tSoUSNreaxFixYfTPq1SNHIS1CK7Z044Ok9doVdI10hz1dMAOSCQKoig7/unuX2y6c5rl+5coXBgwdja2vLixcvCAgIwMfH561JY2lPp3VqQ3VfqDwPdOzeCodU/3//JFpQthOYbwCLjbgOn8i4cePo2LEjsbGxdO/endu3byOXy6lXrx5HjhwplcfIy37lXd4tcszNjkUdS17r1q2jXbt2xSomgNr21orj9y88PJwffvgBU1NTxo4dS3BwMCNHjuTWrVv4+fnRrl27Io1fS0uLmjVr0rFjR5o0aUKdOnWwsbGhTp062Nvb07FjR2xsbAotJvD2+9eyZUu2b9/OzZs3KVeuHK1bt6Zbt274+vpmLSVaWloyevRo9u7dS2xsLMuXLwfA3d0dExMTevbsiZeXFxEREUX7Jol8kBTLDOVBfCzLb/uTrij6hqCWVMbPjbthINNm7969eHh48PTpUyZMmMCIESPUWjRXLKTHvHUhFlLeCoqmGchyzjpmz57NsWPH8Pf3z1ou8Pf3Z9SoUbRs2ZLly5djbGxcYsP+7rvvsLCwYPLkyXm2CQwMZPTo0dy4cYPy5cvz8OHDbGNcs2YN169fx9PTU6kxpKenU6NGDfbs2UPTpsWbUn3mzBkSEhJUipGcnMy///7LkCFDVBbAjIwMDh8+zJo1a7hw4QJlypShTJkyTJs2rXSWc5UgOTmZrVu34uHhQXp6Om5ubgwdOjRbZuC7PH/+HF9fX44fP87x48cxMjLK2ntxcnISU5M/YEp0hnL48S2lxARArlAwf/8Wqlevzp9//snUqVN58OABU6dO/fDFBECzEpSxA91moGObq5gAzJ07l5YtW/Lll19meSa1a9eOmzdvYmJiQr169di+fXuJWX0UZobSrFkznj9/zunTpzEwMMgheKrOUHbs2EGNGjWKXUwALCwskMmUSwbJRE9PD4VCQfPmzRkwYAA3btwocownT57w888/Y2FhwcSJE7l48SLNmzdn06ZNPHr0iAkTJnwUYgJvEwFGjBjBjRs3WLNmDb6+vlhaWjJt2jTCw8NztDcxMWHw4MF4e3sTHR3Nli1bqFixIr///juVKlWic+fOLFu2jLt3734UljcixSAor1KTuB+fd01DQcgRSDDRZe+B/Zw+fZqePXuqVNj2oSKRSFixYgVWVlb06tUrq/JaT0+PpUuXsn//fubOnctXX33F06c5lwHVTUG1KPA2nbRbt25s3rw5V/dhVQwiBUFg0aJFTJ8+Xan7i4qZmZlKb1ISiQRzc3N+/fVXwsLCsLe3p0uXLnTr1o2zZ8/me69cLufw4cO4uLhkfXB48+YNX375JRcvXuTkyZMfxnKukkgkEtq2bcu+ffuyXLQbN25Mz549OX36dK7fd6lUSuPGje1VvZMAACAASURBVPnhhx84c+YMT5484dtvvyUkJARnZ+dsS2fFYUIqoh7U/ht75tl9lWPoaOugMKughtF82EilUjZs2ICOjg6DBw/Olt7ZokULrl27RsOGDWnQoAHr1q0r1k9phZmhwNt9lICAgFwFRZUZiq+vLwqFAmdnZ6XuV4YXL16Qnl6Io5tzQSKRZG3GlytXjmnTphEWFkaPHj0YNmwYrVu35vDhw9l+Zk+fPmXu3LlYWVnx3XffcffuXQwMDBg1ahQRERGsWbOGOnXqqOXZPhSsrKxYsmQJERERdOjQgTFjxtCoUSM2btxISkreThMGBgZ8/fXXeHp6Eh4ejq+vL7a2tnh5eWFubo6joyO//fYbQUFBanFWFlEPaheU8DcvyRBU+wGnKjKISvw8PoVoaGiwbds2Xr58yZgxY7K9AWlrazNnzhz8/Pzw9PSkQ4cOhIWFFcs4CrJfyaRjx45ERkbmyOYB1QRl0aJFRTKBVIX79+/j6OjItm3b0NXVLXKfMpmMmjVroq+fPc1dR0eH0aNHExISwsSJE5k9ezb169dn+vTpfPXVV9ja2nL48GFSU1OpWrUqCxcuJCws7ONZzlUBfX19xo0bx507d5g/fz47d+7E0tKS2bNnFzgDl0gk1K5dm++++w4fHx9iYmKYPXs2cXFxDB06FFNT06yls5iYmBJ6IpHcULugJGeoxzQvMV21lM6PCR0dHfbv38+///7L1KlTc8xE7OzsCAwMpEuXLjRr1ozly5er3SY+P4PId9HV1UUmk+VaEa+soFy7do3Q0FD69+9f5HuLgkKhYNWqVbRs2ZIBAwZw5MgR2rRpg7a2dqFFRSaTYWFhgbV13rY5GhoaODk50bdvX168eMGqVavw8fEhNTUVGxsbjh8//kkv5+aHVCrF2dmZY8eOcebMGV6/fk29evUYOHBgoZ0LypQpQ+fOnVm6dCl37twhKCgIJycn9u/fj42NTbalM2VnoCLKoXZB0ZGpJ6+8jMbnlZ+ur6/P0aNHOXHiBPPmzctxXUNDg6lTpxIYGMi+ffto1aoV//77r9r6L+wMJSoqCm1tbc6dO5fjmrKCsmjRIr777rtitUt//PgxnTp1YsuWLZw/fx43NzekUillypShTZs2VKpUCalUmue+hUwmQ0tLC1tbW+rWrZurACkUCk6ePEmfPn2oU6cOAQEBmJmZYWhoyNChQ2nTpg2+vr4cO3ZM3Afg7Ymgq1atIiwsjCZNmtC/f39atGjBtm3biuTmbGFhwahRo9izZw+xsbF4eHgglUqZPHkyFStWzLZ0JlK8qD1teMeDIE49u19g7Ul+ZKSkcmvTAUz/U9CyZUscHBxo0qRJnumHnxLR0dE4OjoyceJE3Nzccm2jUCjw8vLixx9/xM3NjRkzZqj8ZiwIAjo6OsTHx+dbj3Dw4EGWLl3KrVu3iImJyfYJW6FQoKmpSVpaWqEzqB49ekSTJk149OhRsRR1CoLA33//zbRp05g8eTLTpk3Lc1aQmprK48ePiYiIIC0tDUEQkMlklCtXjho1amBiYpKrkMTGxrJx40bWrl2LtrY2tWvX5urVq5iYmDBp0iR69+6d9fO5desWCxcu5OjRo4wePZpJkyZhamqq9uf+GJHL5Rw6dAgPDw/u3bvH2LFjGTNmDBUrVlQ65vPnzzlx4gQ+Pj74+vpSvnz5bKnJpW179LFSYpXyz5Li+S3YR+m0YQBNqYxJZs0IvnSFwMBAAgMDuXXrFrVr16Zly5ZZ/6ysrD5Jl9OIiAgcHR359ddfcXV1zbNdZiZMZGQk69evp0mTHD/fImFmZkZgYGA2T6j3mTNnDqmpqRw/fpylS5fmsIwxNDTk0aNHhd4TcHNzQ1dXl/nz56s09tyIjo5mzJgxhIeHs3nz5mxGlqoiCELW+STHjh2jXbt2SKVS/Pz8cHZ2ZtKkSbRo0SLP+x89esSSJUvYunUr/fv3Z+rUqSXjQfeRcPPmTVasWMGePXv4+uuvcXNzo2HDhirFVCgUXL9+Paty/9q1azg4OGTZ8tepU+eTfD8pDkqsDqWyrgFVdJV3G5UiobGxOdaWVvTt25dly5Zx8eJF4uLiWLlyJVZWVuzbt4/WrVtTuXJlvv76axYuXMjZs2dJTi6cp9aHjqWlJb6+vsycOZO9e/fm2c7c3JzDhw8zffp0unXrxvTp01X6HhQmdTjzDJS8zpovyrJXXFwc3t7eec7EVGH37t00bNiQunXrcvnyZbWJSVxcHEuXLqVOnTqMHz8eQ0NDmjZtyrlz56hduza3b99m27Zt+YoJvM1+WrVqFXfv3qV8+fI0a9aMQYMGcfPmTbWM82PHzs6OdevWcf/+fWrWrMmXX36Jk5MTe/fuVXr/UCqVYm9vz8yZMzl9+jRRUVGMHTuWe/fu0bVrVywtLbOWztTlmv25USyV8jfiIlkXcj6bEWRh0ZTKmNmwM1X1DPNtJwgCjx8/zprBBAYG8u+//2Jra5ttFmNpafnRfuoIDg6mc+fObNmyhU6dOuXb9vnz57i5uXH16lWlzSY7d+6Mu7t7vqm75ubmnDp1ivj4ePr378+9e/eyXbezs8Pb27tQb+Bz584lPDyc9evXF3msefHy5UsmTpzIlStX2Lx5c4Fv7IVBEATOnz+Pp6cnhw4dwtnZmapVq3LkyBG0tbWZNGkSAwYMUKmyOz4+Hk9PT5YvX469vT3ff/89rVu3LuJAMyDxLLzaCumRIKSCVBe0akGFIaDT8O3Bbh8h6enpxeqcIQgC9+7dw8fHBx8fH86fP4+dnV2W75i9vf1HWxdUHJS4OeTOh1c5G/2gSKKiJZXRp7o9bSord/BUcnIyV69ezRKYCxcuIJFIcHBwyBKYxo0bF8mzqLQ5d+4cX3/9Nfv376dVq1YFtj9w4ADjx49Xymxy8ODBdOrUiaFDh+Z6PTY2Fmtra169egW8FRc/Pz9sbGyy2mTWB7Rp0ybfvpKTk6lWrRqnTp1SW+3FsWPHGDVqFD179mT+/Pkqr4+/evUKb29vPD09ycjIoE+fPrx69YodO3bg6OjIpEmTcHJyUvupjZs2bWLRokVUqVKF/2PvzONjurs//p7siQjZE4QgtghprJUSSxGKoqhQ9QuCoAi1tn369OlKFUVb+76meGyVomhFiD2EiC0iG9llXyaZ+f7+mGYeadbJZMO8X6/7kty593vPxMz93PM953vO4sWLGThwYOnXEDJ4vh2St4PIK6ZIqQQkBqBtBhYzwOSdSrO3Jrh69SqrVq3i+PHjeHh4MGvWrEpfv5Odnc358+c5ceIEJ0+eJD4+nv79++Pu7k7//v1f+7hXtReHHNmsAz1sHNArZ68TXS1t3mv6RoXFBBTphN27d2f+/Pn897//5dmzZ1y8eJERI0YQERHB7NmzMTc3p2vXrvj4+ODr60tUVFSFr1cddO/enV27djF8+HBu3rxZ5vFDhw7lzp075Ofn065dO/z8/Mp9rbIWNwYFBeHi4oJEIkEikTBkyBBlscgCyttka/v27XTp0qVSbgTp6elMnToVb29vtm/fzurVqyssJkIIAgMD8fT0pGnTpgQGBjJ58mQcHR1Zu3YthoaGXL16lUOHDlVJAzcDAwO8vb25f/8+06dPZ/HixbzxxhvKJlpFkOdAzAxI2gDy1BIqXgtFi4X8GIj7EuJ/gJe4lEnnzp3ZtWsXd+/excrKit69e+Pu7o6fn1+lLXI0NDSkf//+rFixgpCQEG7cuEHv3r05evSosqhmwdSZKhlprzpV3g/lVlI0xyPv8DQrtUgZex2JQs9a1LNicGMnHOpVfa+ErKwsrl27xsWLF5WejJ6eXqFpsg4dOlSoNWxVcuDAAWbNmsVff/1V7KLC4jhz5gyTJ0/mrbfeYuXKlWUWm/zuu+9ISUlh6dKlxb6+ZMkS4uPjWbFiBQB+fn4sWbIEf39/5TEffPABAwYM4MMPPyzxOjKZjFatWim7C6qDv78/np6e9OrVi5UrV1a4W2Bqaiq7d+9m/fr1ZGZmMmHCBIyNjZUrugsKHf5zMWNVI4Tg999/57vvvuPp06fMnz8fT09PhZctZBAzC7KvKaa3yovEAEw/VHgrrwD/7I80c+ZMPD09q6wGWn5+PpcvX1ZOjz18+JBevXops8eqqp1BbaIkDwUhRIlbx44dRWXxNDNF7Ht4VawMPiOWBJ0Qq26fFYfCb4qknIxKu0ZFkMvl4tGjR2Lnzp1i+vTpwsXFRRgZGYk333xTzJkzR+zfv19ER0fXqI0FbN68WTRu3FhERESU+5yMjAzh4+MjbGxshK+vr5DL5SUeu2nTJjFhwoQSX3///ffFzp07lb9nZ2cLExMTkZiYqNw3bdo0sWbNmlJtOnDggOjatWuptpRFVlaWmDt3rrC1tRVHjhyp8DhXr14VkyZNEvXr1xcjR44Ue/fuFZ9++qmwsrISAwYMEL///ruQyWQVHr8yOX/+vBg0aJCwsbERS5YsEVlPdwjxoKsQ951V3x50FSIruKbfUqUil8uFv7+/GDlypDAzMxM+Pj4iLCysyq8bHx8vdu/eLT788ENhbW0tWrZsKWbNmiX8/PxEZmZmlV+/JgCuiWI0o9oE5WUiPT1dnD17VnzzzTdi8ODBwtzcXNjZ2Yn3339frFy5Uly6dEnk5ubWiG0rV64ULVq0ELGxsSqdFxgYKBwdHcWwYcNETExMscccOXJEDBo0qMQxHBwcREhISKF9w4YNEzt27FD+vnjxYvH111+XOIZcLhddunQRBw8eVMn+F7l69apo06aNGDlypEhISFD5/LS0NLF+/XrRoUMHYW9vL7755htx/PhxMWbMGFG/fn0xffp0ERoaWmH7qppbt26JsWPHiIg/21ZMTO47C3HfRYiYuTX9VqqMiIgIsWDBAmFhYSHeffddcfr0abUeYMqLTCYTN27cEN9++63o2bOnMDY2Fv369RM//PCDuHPnTrXYUB1oBEUN5HK5ePDggdi+fbvw9vYW7du3F0ZGRuKtt94S8+bNEwcPHhRPnz6tNnu++OIL4ezsLJKTk1U6LycnR/zrX/8SlpaWYtOmTUU+3IGBgaJLly7Fnpuamirq1Kkj8vPzC+3fsmWLGDVqlPL3JUuWiPnz55dow7lz54SDg0ORccqDVCoVn3/+ubC0tBR79uxR+ct548YNMXXqVFG/fn0xbNgwcezYMbFr1y7RtWtXYW9vL5YvXy6eP3+usl01QuZ1IbtfQe9E6aV0FiJftc/Qy0ZGRoZYt26dcHR0FE5OTmLDhg3V6jWkpqaKw4cPC29vb2Fvby8aNWokJk2aJPbv318tnzW5XC7i4uJEUFCQCAwMFIGBgeLGjRvi6dOnanneJQlKlcdQXlXS09O5cuWKMg5z6dIl6tatq4zDuLq64uzsXCUtToUQzJ07l8uXL3Pq1CmV5/WDg4OZOHEi9evXZ8OGDcoFdWFhYfTr16/YApT+/v4sXLiQwMDAQvvj4+Np2bIl8fHx6OnpsW7dOoKCgkpssjV48GCGDBnC1KlTVbL5zp07ykKAmzZtokGDkltFv0hmZia+vr6sX7+eZ8+e4eXlxbBhwzh69Chr166lZcuWzJ49myFDhqjdH6VaefYppPuBGhUpkBiA5RyoP7rSzKqtCCE4c+YMq1at4tKlS3h5eTF9+vRSF/FWhQ0PHjxQLqwMCAigXbt2ytTkjh07Vlpqcn5+Pk+ePFG2ff7n2h1tbW20tLRo0qQJzZo1U7nSRrVneb3q1K1bl7fffpvPPvuM48ePk5iYyMmTJ3F3dyckJIQJEyZgamqKm5sbCxcu5PDhw5VWCVUikbB8+XJat27N8OHDVe6N3r59ey5duoS7u3uhYpOlFYgsWND4T6ysrGjTpg3nzp0DSl/YGBISwrVr10pMSy4OmUzGsmXL6NWrF9OmTeP48ePlEpPbt2/z0Ucf0bhxYw4dOsS//vUvDh8+zJMnT+jZsyfh4eH4+fnx559/MmzYsJdLTADyYlBLTEDRVTTv9ajOK5FI6Nu3L8eOHSMwMJCsrCycnZ15//33uXDhQrU08JJIJLRq1YpZs2bh5+dHfHw8X3zxBSkpKUyYMAFra2vGjh3Ljh07iI2NrfB1cnNzOX/+PA8ePEAqlRa7EFQmk5GXl8fjx4/x9/cnMzNTnbemROOhVCGpqalFvBhTU9NCXkz79u0rXHFWJpPh4eGBTCbj119/rdA4Dx48YPLkyeTl5bFx40Y6duxIcnJykbTb//u//6NHjx54eXkVGaMgA2nNmjX4+fmxZs0afv/99yLHTZgwgebNm/PZZ5+Vy7awsDA8PT3R0tJi27ZtZWbPZGdns3//ftatW0dERAReXl54enpy8+ZNVq1axcOHD5k+fTpTpkxRqz5UbUD+ZDRa0vtqj5Msd0ff7vPXok7eP0lLS2Pbtm2sWbOGevXqMXv2bN5///0ay/CMiopStkM+ffo09vb2yrIwrq6u5fIi8vLy8Pf3JycnRyWR1NPTw83Nrdxr9Kp9YaOGosjlcu7fv18oZTkyMpKOHTsWSltW5WaXm5vL0KFDsba2ZuvWrRVymV8sNimVSrl+/ToODg6FjmnXrh3bt28v1ku5c+cOgwcPJjw8nIsXLzJ//nwuXrxY6JiYmBjatWvHw4cPMTc3L9UeIQTr1q3jX//6F59++imzZ88u9X2Fhoayfv16du3aRefOnZk6dSrdu3dn+/bt/PTTT9jY2DB79mxGjBhRJVOQVUVycjJhYWE8fvyYsLCwQj9v/Uqft7upJwJyOazZk8eiZY8xMjKicePGys3Ozq7Q77a2ti+fF1dO5HI5fn5+rFq1ijt37ijXNNXk4sX8/HyuXLmiTE2+f/++MjV5wIABJT5cXblyhcTERJXX40gkEurWrVvmguQXjtcISm0kJSWFy5cvKwXm8uXLWFhYKD2Ybt264eTkVKr3kZmZibu7Ox06dGDVqlUVXmwXFRWFk5MT1tbW7N27l44dOwKKJ39zc3OeP39e7NObEILmzZtz+PBhtLS0GD16dJHS+gsXLiQnJ4dVq1aVakN0dDSTJk0iOTmZHTt2lLjwMTc3l4MHD7Ju3ToePnzIxIkT8fLyIjc3l9WrV7N3717eeecdZs+eTZcuXSr096hqZDIZ0dHRRcSi4GeZTEbz5s2VW7NmzZQ/NzY+iXbKVtXWn/wTiRE0WIYwciUxMZHIyEiioqKIjIwssiUmJtKgQYNixaZgq+gaoNrE3bt3Wb16Nb6+vgwZMoTZs2crvwfqIoRALpcjkUhUfvBLTExUVk0+efIkJiYmSnHp2bMnderUISsri7/++qvCizu1tbXp1q0b9euXXvYKNILy0iCXy7l7926hGmUxMTF06tRJ6cG8+eabRRYppqam0rt3bwYPHsyXX35Z4eu7u7vTrl07du7cyYQJE/j3v//N7du3mTp1KkFBQSWeN3v2bKysrBg/fjzdunUjOjpa+VpaWhpNmzbl+vXr2NvbF3u+EIJdu3bx8ccfM3PmTBYtWlSsN/HgwQM2bNigrB48depUhgwZwtmzZ1m1ahVBQUHKJ8zyBu6rkszMTB4/flyslxEZGYmFhUURsSj42dzcvOSHg/xkCB8AQo1V2tpm0Ow0SMq+uUmlUmJiYooVm4JNS0urVMFp2LDhS+MhJicns2nTJn7++Wfs7OyYNWtWhRqiyWQyYmNjCQsLIy0tDYlEghACHR0dGjVqRNOmTVWebpTL5QQHByvF5dq1a7z55puMGzeuTO+/LBo0aFDsLMQ/0QjKS0xycrLSi7l48SJXrlzB1ta20DRZ27ZtSUpKws3NjcmTJ/Pxxx9X6Frjx4/n7bffZuDAgcycOZOgoCCGDBlCSkpKqUUcz5z5g+O+i1nyr/78+cd+3N0HgLYF1O3HD2svcONGEHv27Cn23Pj4eLy9vXnw4AE7duwo8oGWSqUcOnSI9evXExISgqenJ5MnT8bGxobt27ezZs0aDA0NmT17Nh4eHtVaq00IQXx8fIleRkpKCvb29sV6Gfb29moVlCTGBzLPUaHgvEQfzKeC2cSKX/8FhBCkpqaWKDZRUVE8e/YMS0vLYsWmYDMzM6tVxVzz8/M5fPgwq1evJjw8nBkzZjB58uRyTds+fvyYhw8fIoQoNjBeUMKoXr16dOjQocKfhfT0dM6ePavsR6QOWlpa9O/fv0zh1AjKK4RMJiMkJKSQFxMbG0vnzp1xdHTE19eXxYsX4+Pjo/LYH3/8MTY2NsyfPx+Aw4cPM27cODp06MDx48eLlrOQZUDKPsTz3WSkJ1G3TuGnXSExJCExkzxjDxq2nQNahb80hw4dYvr06YwfP54vv/yy0JRaWFgYGzduZOvWrTg6OuLt7c2wYcOIiYnhp59+Yvv27fTq1YvZs2fTo0ePKrsRSaVSIiIiivUyHj9+jIGBQYleRoMGDaquSm3ufYj8P0W2lqpo1YemR0C7+qap8vPzefbsWbFiU/BzTk5OiWJjZ2eHnZ1djRV3vXHjBqtXr+bIkSOMGjWKWbNm4eTkVOQ4IQTBwcE8ffq0XKX2JRIJOjo6uLq6VrhcTF5eHqdOnVI7W01bWxs3N7cyvSaNoLziJCUlcenSJS5evMiZM2eUXoy7u7vSi3F0dCzz5rZ06VKSkpL4/vvvlftcXFxo1KgRwcHBrFu3joEDBypeyIuFqEkgSyx7Ll+iDzoNwG4j6FiQkpLCrFmzuHjxItu3b1dWUs7Ly+Po0aOsX7+eoKAgxo8fz5QpU2jZsiV//fUXq1atIiAggAkTJjBjxowSp9BUJTU1tUQv4+nTpzRo0KBYL6NZs2Y1GztIPwuxi1WIpUhAYgiNt4N+xQuxVhXp6emFBOafMZ3o6Gjq169frNgU/GxlZVWlpebj4uJYv34969ato02bNsyePZtBgwYpkxZCQ0N58uSJyn1bVM20epGcnByll6IOOjo6dOvWrczPtEZQXjNu3LhBv3798PDwID09ncDAQBISEujSpYsy2N+1a9ciAbgtW7bg7+/Ptm3bAMUNvl69eiQkJHDp0iUmT55M9+7d+XH5vzFLmwqy50B5vzjaoGPFn+He/N+EmcoS+8bGxkRERLBx40Y2b96Mg4MD3t7ejBgxAiEEe/bsYfXq1eTl5TFr1iw+/PDDCs07x8TEFPEuCoQjNze3RC+jSZMmtXvuPzMAns4H5KUKi8AAibYhNNoI+g4lHlebkcvlxMXFlZpAkJaWRqNGjUrMWLOzs6uUIp9SqZT9+/ezatUqkpKSmDlzJqNHjyYoKKjCN3ZbW1uVkgBkMhlhYWEEBwejp6entpBqPBQNJXLp0iWGDBnCwYMHcXNzIz4+nkuXLimnya5fv07jxo0LxWIePXrE+vXrOX78OAC3bt1izJgx3L17F1AEmT/77DPGdD9Jx7YGaGup9sXJy5dwMSiXXMsf6dOnD8ePH2f9+vVcvnyZcePGMWXKFNq2bUt0dDRr165l48aNdO7cmdmzZ9OvX79Sp7Wys7MJDw8vIhZhYWE8efIEU1PTEr2MkvrFvzTkJ0PqIUjZpQjUC7miGrFE8dT8LFHG7ehO9B+xvMi046tGdnY20dHRpSYQvJgmXVwSgSpp0kIILl26xKpVq2jQoAG9evWq8I1dS0uLvn37FrvmJDk5mdu3bxMcHMytW7cICgoiJCQEQ0NDtLW1WbNmjdoVlrW0tHB3dy/zvWsE5TXlzJkzjBkzht9//73Ik09+fj7BwcGFGpIlJSUBilhKgcAEBASwe/fu/52Y+xDZk7FoS/IqZJNc6LL6aE9+WLWPxo0bM3XqVEaNGoWhoaHyi3nq1CnGjRvHRx99pCzXL4QgMTGxRC8jKSlJWUrin8JRkWyalxIhU5Szz3sK8mzQqgP6DgQGpfLhh+N58ODBa995UAhBUlJSqQkEiYmJ2NralpixVlyadH5+PidPnlQrjqGlpYWDgwP5+fncunWL4OBg5ZaSkkKjRo3Q09MjJSWF+Ph4OnToQO/evXFzc8PGxobo6Gi1pr3s7OzK1W1VIyivMYcPH8bb25uzZ8/i6OhY6rFXrlxh8ODBTJgwQbm639zcnCFDhii9mFb19yBJO075p7oKI5UKLoQ0wLzNUtq3b19k6mDs2LF07NiR2NjYIvEMbW3tEr2MRo0avbKL79RFCEGnTp348ssvGTRoUE2bU+spKU26YJotIiICiURSSGCcnJxo3Lix2oIdHR3NihUraNGiBUZGRqSnpxMWFkZcXByurq64ubnRo0cPOnfuXCjeom4cRUtLi+7du5ery6tGUF5zdu7cySeffIK/v3+pJUwyMjKwsrIiK0vR+c/V1ZXx48eTl5fHxYsXuXEtkJsHTTA0UO9LIxP67Lw4hb37fiUgIAADAwN0dXVJTk7G1ta2xHhGZfUQfx3Ztm0b+/bt48SJEzVtyktPcWnSubm52Nvbqx1vy87OZuHChaSnp9OjRw969OiBm5sbzs7OZabzXr9+nbi4uAqtlDc1NcXV1bW8x2sE5XXn559/ZsWKFQQEBGBra1vsMUII6tSpQ0JCAoaGhtSrV4/IyMj/3cjzniIPH44WaqzQBnKlgia9H2Bp48CQIUPo0aOHMgBe27plvioUpOQGBASUu+unhvITERFBSEiI2plWMpmMFi1a0KZNG5XjejKZjICAADIzM8tth0QiQV9fHzc3t3JXHS5JUCpWlVDDS8mMGTNITU2lX79+nDt3rtjFWRKJBEtLSxISEsjNzcXS0rKwVyDPQkuio17JD0CipUNoyDVMrdqqNY6G8mNgYICXlxc///xzmSVwNKiOrq4uWlpaagtK3bp1y5yaLgltbW1cXV25fPky6enpZaYua2lpYWRkRLdu3VQuYV8cGkF5zVi8eDEpKSkMHDiQM2fO/C8rRAjIDoKUvZzZbIpNthfZuRI2f9sQkX2X2BRTQkJCiHh0iXHds9FX87OnpSV49PgZFfcl2QAAIABJREFUjnXsX49geS1h2rRpODs78/XXX1dZz/XXFXNzc7XFRCKRYGVlpdYYurq6uLq6EhMTw6NHj8jJySm2H4qenh7NmzfHzs6u0mKPmimv1xAhhLLUid/x4xhKT0HyBpA9R4gcJC+U8sjPF0jzBJGxMnafqEeazJkfpl1FVztfLRuyc7XoMQHu3r1HkyZNcHFxwcXFhTfeeAMXF5citco0VB4jR46kd+/ezJgxo6ZNeWVISUnhwoULJCYmYmpqqlbacEGxx8q0LTY2VlnS3sDAACsrK7XK3GhiKBoKER8fzwcfeDBzVBLurtro65X9ZCXQJ+hJax4/usXQngJd3Yqu29AF0zFgORepVEpoaChBQUEEBQVx8+ZNbt68iYmJSRGRadKkycu9VqSW8NdffzFt2jTu3r2r+XtWkNjYWM6fP8/58+fx9/cnLCyMrl27MnDgQFq1alXhcU1NTZVVI2ozGkF5TUlJSSEkJIQ7d+4QEhKi3LKzs9m1vDlvd5ZhZFj+m0qOVEJcdlcaGl9FR7tiacNI9MD+MOgWXw1YLpcTHh5eSGSCgoLIyclRikuB0LRu3brCDcpeV4QQtG/fnhUrVtCvX7+aNqfWI4QgIiICf39//P39OX/+PPHx8XTv3l2ZwtuhQwf09PQQQnDlyhWSkpJUnv5SpXx8TaMRlFectLS0QoJRsKWlpeHo6IiTkxNt27ZVbg1N7iKJ+zeIbJWvlZ0L98JycHTQR19PtSfcHKngXkR9WvTyU9mtj4uLU4pMgdDExMTQtm3bQiLTvn37Ih0nNRRmw4YNHD9+nCNHjtS0KbUOIQShoaFK8fD39yc/P18pHm5ubjg5OZU4rSWTybhw4QIZGRnlFhUtLS06duyItbV1Zb6VKkMjKK8IGRkZ3L17t4hwJCcn07p16yLC0bhx4+KnNSJGK6rVVgC5XHD+uoymjaChlS7a2uVbGZwrFci1rJjzow3nzl/D19eX9u3bV8iGAtLT05VlKApE5t69e9jb2xeZMlO3V8SrRGZmJk2aNOHq1atltlZ+1SlYlV7ggQQEBGBiYqIUjx49euDg4KDS9KBMJiMoKIj4+HiEECWuntfW1kYikdC5c+eX6vOpEZSXjKysLEJDQ4sIR1xcHK1atSoiHPb29uUPBOY+hMhxaqX+5su0kdpuxTDlC3IzHmNQVtaXxIDnWfXpPvo2R347R2BgIHPnzuWrr75i6tSplTqXL5VKuXv3bpG4TP369YuITImC+xowb948JBIJy5Ytq2lTqpWcnByuXr2q9EACAwOxs7NTikePHj1o1KhRpVwrIyOD8PBwoqOjC33O5HI5xsbGODg4YGNj89KVw9EISi0lJyeHe/fuFRGOmJgYWrZsWUg02rZtS7NmzdRP8YtfikjxRYIaKY4SPbCYid8FI679+Tn/mt4IiTzt794cis+UACQSQ0VnQLMJYPIuGzZtY+nSpVy4cIG0tDRGjx5N8+bN2bhxY5WugpfL5Tx+/LhIXEYqlRaJy7Rq1eq1iMs8fvyYLl26KIslvqoUVNsu8EBu3LiBo6Oj0gPp3r17lXsHMpmMjIwM8vLy0NbWRl9f/6X+m2sEpYaRSqXcv3+/iHBERkbSvHnzIsLh4OBQ6Tc1uVzO2bNnMc/5ApeWGWqPl288gtZu2/nll1/o368fZN+AjL9AlsjvJ07wRse+2Lb4AAyc4YWns6+++oqDBw9y7tw5DAwMWLBgAUeOHGHv3r1069ZNbbtUITY2tkhc5unTpzg5ORWJy6jVXbGWMmTIEN59910mT55c06ZUGomJiQQEBCjjH6GhoXTs2FHpgXTr1k2zBkdNNIJSTeTl5fHw4cMiwhEeHo69vX0R4WjRokWlrFAtjcjISLZu3crmzZupU6cOx36xwqFhqtrjngsy4ZPVMjZs2IC1tTVmZmZK133gwIF89NFHxRYiFEIwc+ZM7ty5w4kTJzAwMODIkSNMmTKFOXPmsGDBghqdAkhLSys2LtOsWTOlyBQIjZmZWY3ZWRmcOnWK+fPnc/PmzZd26i86OlopHv7+/kRHR+Pq6qr0QDp37qwp51PJaASlksnPzycsLKyIcDx69Ag7O7siwtGqVasq+1BLpVKePXvG06dPiYmJ4enTp0RGRnLlyhVCQkJISUlBR0cHiURCo0aN2PJ1fdw6qLcwEWDltiR8zzYkNTWVuLg4MjIysLCwwMbGhri4OJo2bcpbb72FtbV1kc3U1JRx48aRn5/Pr7/+ira2NlFRUYwdOxZDQ0N27txZqzJecnNzi8Rlbt26hampaRGRsbOze2luznK5HEdHRzZs2ICbm1tNm1MmQggePXpUKAOroIhigQdSniKKGtSjegVFCMi5BZnnIT8JkICOFRj3BoPWqo9Xg8hkMsLDwwuJxp07d3j48CG2trZFhKN169aVNjUik8mIj4/n6dOnhcTixS0mJobU1FRsbGxo0KABderUITExkUePHmFvb8/QoUMZOXKkslWtRCIh4cEP1Mvfg55OxWMo2blaHL3szGivrcp9UqmU+Ph4YmNj+eabb9DV1cXFxYW4uLgiW2pqKubm5mRmZlK/fn169eqFjY0NFhYWBAYGcv78eb755huGDRuGpaVlrSxLL5fLCQsLKzRlFhQUhEwmKzYuUxvfA8BPP/3EuXPn2P+rL+Q++LsLpxy0TEC/JWjV3NO9XC7n9u3bhTwQXV1devbsqRSR1q1bvzQC/qpQPYIiz4G03+D5NoWQvBCgBS1FIFe3IZhNhLr9QVJ72qrK5XJltdAXt3v37mFpaVlEONq0aVPh8ghCCJKTk4sIwz9/T0hIwMzMjAYNGii3hg0bFvldW1ubffv2sXnzZpKSkpgwYQKenp6F+q0/efKEX3/9FV9fX7LSnxJ82AZdnYo3AkrLkJPd4DjWNnbFvr5kyRKeP3/O0qVLi309Ly+PhIQEwsLCmDhxIo6Ojri6uioFJzQ0lNu3b6Orq4tUKsXc3LxYT+efm5WVVY0/nT579qxIXCY2NrZIXKZdu3a1Ii6TnhrND/96i88/aoq2RAqSgulGoXg4rDccTMcqvrtVTF5eHtevX1d6IAEBAVhbWxfyQDQVE2qeqheU/GSIngx5MX8LSWnWGIJ+K2j4E2ir39tZFYQQREVFFRGOu3fvYmpqWkQ4HB0dVQrgpaenlyoUBZuRkVEhYShOLGxsbErsrVAQYN+yZQt+fn4MGDCASZMm0adPH+WTcExMDPv378fX15eHDx8yYsQIRo8eTc+ePdGOW4RIP41Eorqo5EoFv/6hw9xvI5k+fTozZ84sUntr06ZNXLx4kS1btpQ5XsGq41mzZvHRRx8V2u/p6UlycjKrV69GT0+vWG/nxS0pKYn69euXW3yqOn5VQGpqapG4zP3792nevHmRKbNq7fmSsh8SfiBXmoe+bkkeq64iqcJkKFgtUrYVrgyysrK4dOmS0gO5cuUKDg4OhVJ4a9PUpwYFVSsosjTFQrn8BKC8c/N6oGcPjXeAlkGZR6uKEIKnT58Wmaq6e/cuxsbGxQpHaSUPcnJylHGK0qaf5HJ5sV7Ei7/b2tpWOGUwIiKCbdu2sXXrVkxNTZk0aRJjx45VBofj4+M5cOAAvr6+3L59m6FDhzJ69GjefvvtQuJ07MAK3m6xDSND1YPfmdlg1OYED5+ksWzZMg4ePMj48eOZO3cujRs3BuDIkSNs3ryZo0ePlmvM8PBwevTowYoVK3j//feV++VyOStXrmTp0qWsXbuWESNGlDqOTCYjMTGxTOGJi4sjISEBExOTcomPtbV1pcfAcnNzCQkJKeTNBAcHY25uXkRkGjVqVPlP5UkbIHlL2Q+ABUgMwKgLNFhZYVEpKKJY4IEEBwfj7Oys9EBcXV1fitIjrztVKyhRXpB9C1Cxx7hEXxFXsV2i2nkvIIQgLi6uWOHQ09MrJBpOTk44OjoWyszJz88nLi6uTK8iPT0dGxubMsXCxMSk0r/4OTk5HD58mC1btnD9+nXGjBnDpEmTcHFxASApKYn//ve/+Pr6cu3aNQYNGsTo0aNxd3cvchPMzMxk5syZnD17Fve3dFj9SV30dcvvpWTlyInhU1q0H63cFxMTw48//sjmzZt59913WbBgASkpKXz88ccEBgaWe+zg4GD69u3Lnj176Nu3b6HXrl69ioeHB+7u7ixfvrxSporkcjlJSUnlEp/4+Hjq1KlTpujY2NhgbW1dqDWrqjY9evSoSFxGCFEoLuPi4kKLFi0qHpdJPQ7xX6q+uFVioPBUrBeX6/C4uLhC8Y+CIooFHkjXrl1f6vUYrytVJyi5jyDyg4qvupboQVM/0Cm7XHlCQkIR4QgJCUEikRQrHECxXsSLvyckJGBhYVFifKLgZ3Nz82pPZb158yabN29m7969uLi4MHHiRIYPH46BgQGpqakcPnwYX19fLly4QP/+/fHw8OCdd94p8WYbEhLCqFGjMDQ0JDIykp9++onRg2zh2UKEkCFBWqItQqJPTk4+Px1qw/zPdxV7zPPnz/nll19YvXo17dq14969e0RHR6v0nv39/Rk5ciR+fn506lT485qamsrUqVO5e/cuvr6+tGnTRqWx1UEul/P8+fNyiU9cXBwGBgblFp+ybqhCiCJxmYKyHu3atSskMk5OTmWLmZBBWB+QVzB1XKIH9sdAt/BUVHFFFBMSEujevbvSA+nQoYPaLXI11DxVJyix/4G0o4AalWfNJoH5VOWu5OTkIqIREhJCXl6ecu2Gra0tZmZmGBgYkJGRUUQ4nj17hrGxcanB7AYNGmBtbV3jQdwXef78Obt372bLli1FAuwZGRkcO3YMX19fzp49S58+fRg9ejRDhgzB2LjkWJQQgq1btzJ//nxsbW0xMTFhz549/wva58dz9fQC2tgGY2xkCEKKYupSFyQ6JKdmcyfmDabM+52AwDtl9irJysri559/ZuHChbi5ubFo0SLc3d3L7bkdOXIEb29v/P39adGiRZH3snnzZhYvXszSpUuZMGFCrQvQCiFISUkpU3RiY2OJi4tDV1e33OLz4v9zSkpKobhMUFAQDx8+xMHBoZDIODs7F47LZPwFzz4BkVXBd6gHph8iLD4qsYhigQdSWhFFDS8vVSMo8hwI61X+OdgSyMkzYOGGLty+fYc7d+6QmZlJw4YNMTMzUz5t5+TkkJiYyLNnzwCUgvBPoSjYZ2trW+Fph+qmIMC+efNmfv/9dwYOHMjEiRN5++23yc3Nxc/Pj3379nHq1CneeustRo8ezdChQ8s115yRkYG3tzfnz58nKyuLadOm8fnnnxcS0YJy5mtWr6RXZx3IiwZ5FmjVAb2m7DkSzkcfzeSrr74qd1MmIQS6urps2rSJ5cuXo62tzaJFixg5cmS5BHzTpk18++23BAQE0KBB0TL3ISEhjB49GmdnZ9auXYuJiUm57KptCCFIS0srt/hIJJJShcfU1JS0tDSio6MJDQ3l5s2bBAcHY2lpqRSYGe9excwwUi27M7K1aDkgCkMjk0JVeJs3b17rBF5D5VM1giKNVATjK1AC/UXy8gUNejwiJU2KjY0NdnZ2NGzYsESxeFXKJpQUYK9Tpw4nT57E19eX48eP06lTJ0aPHs17772nUs2hW7duMXLkSPT09EhLS2P37t3FLl4LCAjAy8uL0NDQYm8Ge/fuZfz48dy6dUulXte2trZcv34dW1tb/Pz8WLJkCU+fPmX+/Pl4enqWKfjffvst+/btw9/fv1jxzMrKYu7cuZw+fZp9+/YVmSJ71RBCkJGRUS7hiYuLQyaTKbPZCjybnJxs/DdnoaOt3k0/T6ZHsvFKrO1qfzMoDZVP1QhKzj2IngTyTLWMkws9Ukx3YGrZ6pV/uikpwO7k5MSZM2fw9fXlyJEjtGvXjtGjRzNixAiV0yaFEGzYsIFFixZhYmJCp06d2LhxY4llQsaNG0enTp3w8fEp8lpWVhZt2rThrbfewtbWluXLl5fbjvbt27Nz506cnZ2V+wICAli6dCnXrl1j9uzZTJs2jXr16pX4Pnx8fAgKCuLkyZMlxob279/PjBkzWLx4MT4+Pq/8Z6i8ZGZmFk2rToxh4YijaKs7C6VlDA1WgVHHSrFVw8tFFXkoERAxRo252AJ0wOGcYorlFSUoKIgtW7YoA+yTJk1iyJAhXL58mX379nHo0CEcHBwYPXo0o0aNomHDii0iS0tLw8vLi4sXL5KZmcnSpUuZPHlyiTfZxMREWrRoQVhYWLGC88UXXxAaGsp3331Hly5diIqKKneGVZ8+ffjkk0+KZGwB3L59m++//x4/Pz8mT56Mj48PNjY2RY6Ty+WMGzeOrKwsDhw4UOJ0WXh4OB4eHlhaWrJt2zZNT/qSEHnwsAv/W3BcQbSMoeHPYOhc9rEaXjlKEhT1nlN0LCn/upNSkOiB5NVLHUxOTuann36iQ4cODBs2DHNzc65cucLnn39OQEAAzZs3Z/78+Tg4OHD16lUCAwPx8fGpsJjcuHEDZ2dnrl+/jpmZGRcuXGDKlCmlPrFv3bqVoUOHFismT548Yc2aNSxbtoxmzZrRuXNn9u/fX257LC0tSUhIKPa1du3asXPnTq5fv05mZiaOjo5MmzaNsLCwQsdpaWmxbds2srOz8fb2LrFRUdOmTQkICFB2bzx37ly57XytkOgqvm/qIvIUbQk0aHgB9QRFywjq9FRzGF2oN6JQefOXGblczh9//MGYMWNo1qwZFy5cYMmSJezbt4+0tDTc3NyYPn06NjY2nD9/nuvXr7NgwYJCZVJURQjBmjVr6NOnDxkZGQwePJgrV66UGe+Qy+WsX7+eadOmFfv6vHnz8PHxUS5WnDZtGmvXri23XZaWliQmJpZ6jL29PWvWrOHevXtYWFjQtWtXxowZw82bN5XH6OnpcfDgQYKDg/nss89KHEtXV5elS5eyceNGPDw8+OKLL5DJKph9+Cpj3Bd1v/roWINu5TSh0vDqoH4+n+l4xQLFiiKRgKmH2mbUNBEREXzxxRc0a9aMhQsX4urqyuHDh2nSpAlTp07F09OTunXrcurUKW7fvs1nn31WJCW2IqSkpPDee+/x7bffoqenx7Zt21i1alW5MtxOnz5N3bp16dKlS5HXzpw5w/Xr15k3b55y3zvvvEN0dHShm31plOah/BMrKyu++uorwsPD6dSpE4MGDWLgwIGcO3cOIQTGxsYcP36cAwcOsHr16lLHGjBgADdu3CAgIIA+ffqovBbmVSdJDEKq4hrkQkiMFA3TXpGHQA2Vh/qCYuAEunZARVbs6oJhp2opOlcV5OTksG/fPvr160fHjh1JSkrihx9+YPDgwaxZs4aJEycikUg4dOgQ9+7d4z//+Y9KWVJlceXKFdq1a8fly5dxdHTk1q1bxfYfKYl169bh7e1dZEosPz+f2bNnF1mRrqOjw5QpU1i3bl25xrewsCi3oBRQt25dPv74Yx4/fszIkSOZPHkyrq6uHDlyBHNzc06dOsWyZcvYu3dvqePY2tpy8uRJ3N3d6dSpE8eOHVPJjleRjIwMvvzyS1q1f5fENEMEFRUEAXUHVKptGl4N1BcUiQQargGtuioOp6NYHa9G2ZWaIigoiI8++ohGjRqxefNm3nnnHaZPn86ff/7JnDlzyMzMZNeuXYSFhfHdd9/xxhtvVGrmkRCCFStW0LdvX9LS0pgzZw5//PEHtra25R4jJiaGv/76i7FjxxZ5be3atdjY2DB8+PAir3l5eeHr60taWlqZ11DFQ/kn+vr6TJo0idDQUObNm8dXX32Fk5MTf/31F0ePHsXHx4dTp06VOoa2tjaffPIJBw8e5KOPPmLOnDnk5lawosNLTF5eHuvWraNly5bcv3+fq1ev0qDDdiSSCqzTkuiDzdegVfNVkjXUPipnCauutaLIo7YFUI6An0RfMf/aeAdovxwL0goC7C4uLgwfPhwdHR0mTZpEUlIS33//Pc+fP2fdunVERESwfPlyunTpUiXpq8nJyQwaNIjvvvsOMzMzzpw5w/z581Vejbxp0yY8PDyKrOlJSEjgyy+/ZNWqVcXab2try9tvv83u3bvLvEZ5Yihloa2tzYgRI7h69SqrV69m586dDB06FA8PDz744AOuXLlS5hhvvfUWQUFBPHnyBFdXVx4+fKiWTS8LQggOHTqEk5MTBw4c4LfffmP37t00bdoU9B0UWVoSIyivpyLRB8v5UPftKrVbw0uMEKLErWPHjkIl8lOEiF8txMPuQjzoJsR958Lbg25CPOolROIGIWSZqo1dA8hkMnHq1Cnh4eEh6tWrJ959913h7e0tOnfuLCwsLMTUqVPF2bNnRX5+frXYc+HCBWFjYyNMTU3Fhx9+KNLS0io0Tl5enmjYsKG4detWkdemTJkiZs+eXer5p0+fFu3atRNyubzU427fvi0cHR0rZGNpXLlyRYwYMULUq1dPGBsbi8DAwHKdJ5fLxU8//SQsLCzE7t27K92u2kRAQIBwdXUVzs7O4sSJEyX/X+U8FOLJGCEedBHifoei39n7byi+t2EDhMg4X71vQkOtBbgmitGMyhWUAuRSIdJOChGzQIhILyGipgjxdLEQ6eeEkFfPzVcdwsPDxb///W/RuHFj4eTkJEaOHCm6du0qTE1NxYQJE8SJEyeEVCqtNntkMpn49ttvhbGxsTAxMRF79uxRa7xDhw4JV1fXIvuvX78urK2txfPnz8u0p0WLFiIgIKDU4549eyYsLS3VsrU07t27J3r06CG0tLSEl5eXiIyMLNd5QUFBolWrVmLChAkiIyOjyuyrCUJDQ8XQoUNF48aNxY4dO4RMJivfiTmPhIj9UoiHbwlx3+VvIekqRPRHQmReE6KMhwcNrxfVKyhVgTxPIUjJe4RI2izE831CZF6ptA96dna22LNnj+jbt68wMzMTvXr1Ep07dxb16tUTH3zwgTh69KjIycmplGupQnx8vOjdu7eoX7++cHFxEY8fP1Z7THd3d7Fjx45C++RyuXB1dRUbN24s1xjLly8X48aNK/UYqVQqtLW1y39TqyCLFy8W5ubmon79+sLT01PcvXu3zHPS09OFp6enaNWqlbh582aV2lcdPH36VEyZMkVYWlqKZcuWiezs7IoPJpdrBERDqby8gpIXL0TCz0I87CHEQ1ch7ndWuOYPOv89hdZXiKSdQuSnVmj469evixkzZggzMzPRtm1b4ezsLOrWrStGjRolDh48KLKysir5DZWfc+fOCQsLC2FsbCwWLVpUKV5RWFiYsLCwKHLD2bVrl+jYsWO5p++SkpJEvXr1REJCQqnHmZqaisTExArbWx7kcrmYM2eO6NKli/j888+FlZWVGD58uLh06VKZ5+7cuVNYWFiIn3/+ucwpvNpIamqq+Oyzz4SZmZmYN2+eSEpKqmmTNLwGvJyCkn5O4XY/6FzM3O6LsZmuirhN9u1yDZuUlCRWr14t2rdvLywsLETLli1FnTp1xLBhw8TevXtFenp6Fb+x0snPzxf//ve/hZGRkbCwsBB//vlnpY29YMEC8fHHHxfal5aWJho2bCguXLig0ljjx48X33//fanHtGzZUoSGhqpsp6rIZDIxbtw4MXjwYJGamirWrFkjmjRpInr37i1OnjxZqljcv39fuLi4iPfee08kJydXua2VQW5urlizZo2wtrYW48ePFxERETVtkobXiJdPUNJOK4SiNCEpTliygosdriDAPnLkSGFkZCTs7OyEkZGRGDhwoNi+fbtISUmp5jdYPLGxseLNN98UxsbGwt3dvVKf7nNycoSlpaV48OBBof2LFi0SH374ocrjBQYGiubNm5c6peXq6ir8/f1VHrsiSKVSMWDAADFhwgQhl8uFVCoVO3fuFG3bthUuLi7C19e3RA8sJydHzJo1SzRp0kRlYa1O5HK58PX1Fc2bNxfu7u6vxHSdhpePl0tQcu6rLiYF28O3hMj73zRMeHi4+PTTT4WlpaUwNTUVBgYGomfPnmLjxo1VPhWjKn/88YeoV6+eMDIyEj/99FOlT8EUxIhe5MGDB8LMzEzExMSoPJ5cLhdvvPGGOHnyZInHDB06VBw8eFDlsStKRkaG6Nq1q1i4cKFyn0wmE8eOHROurq7CwcFBrF+/vsQYw5EjR4SVlZX49ttvqzz2oyp//vmn6Ny5s+jQoYM4ffp0TZuj4TXm5RKUmLmKLJOKCMr9zkL67EexY8cO8cYbbwh9fX2hr68vOnToIH755RcRFxdXM++pFPLz88WCBQuEgYGBaNq0qbhz506VXKdHjx7iwIEDhfYNHjxYLFmypMJjrlu3TgwfPrzE1728vMT69esrPH5FSExMFK1btxYrVqwo8tr58+fFoEGDhK2trVi6dKlITS0ae4uKihI9evQQffv2Fc+ePasOk0vl9u3bYtCgQcLe3l7s3r271gmdhtePl0dQ8pPLjpmUsSVfdRKGhrqiRYsWYtmyZRV6+q4uYmJixBtvvCEMDAzExIkTqywJ4M6dO8LW1rZQYN/Pz084ODiolb2WlpYmTE1NRXR0dLGvL168WHz99dcVHr+iRERECDs7O7Fz585iX79165YYO3asMDc3F4sXLxaxsbGFXs/LyxOff/65sLW1LdUDq0qioqLExIkThZWVlVi5cmWNZBlq0FAcJQlK7Wv2nHqIcq/cLQFDAz0i7mznwYMHzJs3r9gWsrUBPz8/WrVqxaNHj9i7dy+bN28ud68RVVm3bh1eXl7o6uoCIJVK8fHx4ccff0Rfv+LFPevWrYuHhwcbN24s9vWK1POqDBo3bsyJEyf4+OOP+f3334u83r59e3bv3s2VK1dITU2lTZs2TJ8+ncePHwOKumX/+c9/2L17NxMnTmTRokXk5ZWjomLuI8g4D+l/QGYg5MWpbHtKSgqLFy/G2dkZa2trHjx4gI+Pj1r/Txo0VAe1T1Cyg0CoV2/JQE+GZd2KGm14AAAQyklEQVT4SjKo8snPz2f69OkMHz5cWV9p2LBhVXa9zMxM9uzZw+TJk5X7Vq9ejYODg0rFJEti2rRpbNq0ifz8or1x1KnnpS6Ojo4cPnyY8ePHc/ny5WKPadasGT///DOhoaGYmprSpUsXxo4dy61btwDo3bs3QUFBBAcH4+bmRnh4eNFB5NmQehjCh0HkOIhdDLFfwLP58GQIRE2FzIsg5KXam5uby48//kjLli2Jj4/n1q1bfPvttyV2tNSgobZR+wRFVnbRwfKNk1I541QyUVFRODk5sWnTJhYsWKAo1FfFHtS+ffvo3r07dnZ2ADx79owlS5awcuXKShm/Xbt22NvbF1vRtzLqealDt27d2LZtG0OHDiU0NLTE46ytrfnmm294/PgxLi4uDBw4kEGDBnH+/HksLCz47bffGDVqFF27duXAgQP/OzE7CB73h/jvIe8JiByQZ4DI/PtfKWRfhqfzIGIk5Bf9W8jlcvbs2UObNm04ffo0Z8+eZfPmzTRqpOk3ouHlovYJilYFKqAWO07t6wB58OBBWrVqRUJCAv7+/nz11VcqF3WsCGvXrsXb21v5++LFi5k0aRItW7astGt4e3sX23yrJj2UAgYNGsT333/PgAEDiIqKKvVYExMT5s+fz+PHjxk2bBgTJ06ke/fuHD9+HB8fH44fP87ChQuZNm0auc/PQfQ0kKeX3QZbZIE0EiJGF5oGO336NJ07d+bHH39k69at/Pbbbzg5OVXG29agodqpfYKia4faZkn0a1WPFalUyvjx4/Hw8FBOm7z55pvVcu1r166RlJSEu7s7AJcuXeKPP/4otfNhRRg5ciRBQUE8evSo0P6aiqH8k/HjxzNz5kwGDBhAcnJymccbGBgwefJk7t27h4+PD1988QXt27fn3r17XLlyBSOdOGSRsxQeSbnJV3jO0V4E37rKgAED8Pb2ZtGiRVy+fJmePXtW/A1q0FALqH2CUm9EJfS8rj0NgMLDw2nRogW+vr6sWbOGEydOYGJSfSX7161bx9SpU9HS0kIulzNz5kyWLFlSpGy9uhgYGODp6cn69esL7S/wUEQJveCrk3nz5vHOO+8wePBgsrLK8Cj+Rltbm1GjRnHt2jVWrlzJtm3b6NChA9NGyTDQr0jyiIyczGi2/Pg+gwcP5u7du4waNapKWh1o0FDdSEr7onfq1Elcu3atGs35myfvgfRxBU+WKPrcN/yxUk2qCNu2bWPq1KlYW1tz5syZSmn5qwopKSk0bdqU+/fvY2VlxZYtW9i0aRMBAQFVMtX26NEjXF1diYyMLNSCuE6dOsTFxWFsbFzp11QVuVzOhAkTSExM5PDhw8qsN1W4cfU0Tkbz0dOtuEjKtO3Qbq7pIqnh5UQikVwXQnT65/7a56EAmE2CinSTA8V0l9mEyrVHRXJzcxk2bBheXl54eHgQFhZW7WICsHPnTgYMGICVlRUpKSl88sknrF69usriNg4ODri4uBQOWlM74igFaGlpsWnTJiQSCV5eXsjlpWdeFUeHZuHo6amXwqstT4ScO2qNoUFDbaN2Ckrdd6BOL9VFRWIApuPB0Lly7JBGQtZlyDgHWdchv+y599DQUJo0acKpU6c4ePAg27dvr9BTsLoIIQoF47/88ksGDx5Mp05FHioqleKC87UljlKArq4uv/76Kw8fPmThwoWqD5B5UcXYSTGIfEWGmAYNrxA6NW1AsUgkYPsVPPsEMs+X78srMYD6HmA+Tb1ry6WQcRqSt0JeJEheEAMhBSNXMPs/MHhDYecLrFq1innz5tG6dWtu376NpaWleraowfnz5wFwc3MjNDSUnTt3EhISUuXXHTJkCDNnziQ4OJj27dsDtctDKcDIyIjffvuNHj16YG1tzbx588p/srwyUtvzQJZaCeNo0FB7qJ0eCihu5Lbfg+Vc0LH+u/f1P9ECiSHoNgWbr8HSp8hNXiWyb8PjfhD3NUgfKhZYyjP+twkpZJ6D6OkQORZkzxWnZWfTp08f5s6dy9y5cwkODq5RMQFFML7AO/Hx8eHTTz/Fysqqyq+ro6PD5MmTWbdunXJfTa9FKQkzMzNOnjzJmjVr2LFjR/lPlFTGc5ikEpJPNGioXdROD6UAiQTqvw/1RkH2VXi+WzENJXIU60z0W4LpODBoq/61sq5CzMxyeEMCRDbkPoQno7mZspDefUcil8s5f/48rq6u6tuiJvHx8fz+++/88ssvHD16lKioKGbMmFFt1/fy8qJdu3YsXbqUunXr1koPpYBGjRpx4sQJevfujYWFBe+8807ZJ2lbAffVu7BEH7TN1BtDg4ZaRu0WlAIkEjDqotiqAukTiFF9TYEsLwHd2Bl0cHHi2G8nMTKqHYspt27dynvvvYeBgQFz5sxh/fr11RrHadiwIb169WLPnj1MnTq11sVQ/kmbNm04cuQIQ4YM4ciRI3Tr1q30E+oNh+zrZS9mLBU5GPdR43wNGmoftTNtuLp5+jFk/AmonvEjzddBr9F/wET9mliVgVwux8HBAV9fX06dOsX169f573//W+12nDp1Et+tC9m0rAfStMtoS/LQ0dEFLRMweRfqjwZd62q3qzROnDiBp6cnZ8+exdHRseQDRT6E9VEjliJRJJ00rJzSNxo0VDcvV9pwdSJ7rgj8V0BMAPR08hUB/FrCqVOnMDU1xdramhUrVrB8+fLqNyL9T/o5/MjqRQIyz6OvI0VHWyhiULJEeL5LUTQxelqFqvFWFQMGDGD58uVll2iR6ED9MYppq4og0VckdmjQ8IqhEZSU/6JuuXzyoiHnXqWYoy7r1q1j2rRpLFy4kBkzZtC0adPqNeD5TohdjCT/GXUMJSXkSEgV4pJ1BSLeV5R8ryV88MEHzJkzh/79+5OUlFTygWYTQLcxKs8aSwzAZDgYvqGWnRo01EY0gpJ5Xu1y+QgZZNf81GBUVBT+/v40atSICxcusGjRouo1IPUIJP6sQixKBvJUiJpUqzyVOXPmMHToUAYNGkRmZmbxB2kZgN0G0Gtc/mwtiQHU7QtW8yvPWA0aahEaQamUtQB5lVd2Xw02bdqEh4cHCxcuZNmyZdWbJCB7DvHfVmzBnzwD4v5T+TapwXfffYejoyOjRo0qubGWtik03q1YiCvRL3khrsQItOqBxUdg/RVINF87Da8mmk92pa0pqKYsKmkUxC9VBIUfdoEHneCRG/Lo+Vw9vw1zc3Pq16/P+++/Xz32FJB6SI2T//bwapGXIpFI2LBhAzo6OkycOLHkEi1ahmDzBTQ7DRazFNWyJYaADjl5ujyJNQHbr6H5GUWKu6YIpIZXGI2g6FioP4ZEX/G0WpVIn0CkJ0SMgJT9IEtWxCHIV2QbZZzm4I+mjHc7xOafplVv9VohVwTa1Zk6FCjeVy1CR0eHffv2ER4ezvz580uvmKxdF0zHQtNj0CIQWl7jXPTXTPxCR5EeXCkPLho01G40glJvWAmr8FWhitcUZN+CyA8g59b/ROQfaGkJDA2gRRMdHAxWQurxqrPnn+SEgFzN2lZIIe1IpZhTmRgZGXHs2DFOnTrFsmXLVDrXxcWFoKCgWlG6X4OG6kAjKMZ91JzTlijqe+lU0arn3Md/dwXMRPEYXw5ELsR/CZkBVWPTP5ElV05coFJqZFU+pqamnDhxgrVr17Jt27Zyn2dlZUWdOnV48uRJldmmQUNtQiMoEl2o937F6ypV9ZqCZwsVpV5UReQqzpWrmcFWrmvlQ2U8hQuZ+mNUEQ0bNuTEiRMsXryYY8fK38ekwEvRoOF1QCMoAOZeoNMQ0FbtPImBYoW8oUuVmEXOPciLotyeyT8RAjL+qFSTikW7buUEm7UM1R+jCmnVqhVHjx5l0qRJXLhwoVznaARFw+uERlBAUWjSbiPoNgDKu6bAUNEZ0uqTqrPr+S4QJaSslgeRVT2r+PVbq2cnABIw7FAp5lQlnTt3ZteuXbz33nvcuVN2g6wOHTpw48aNarBMg4aaRyMoBehYQOO9ULePYvqrpLIaEiPQMgazyWC7BCQqejWqkPEHoOY0UF405D2tFHNKRNsEjN9GrY+TxADMPCvLoiqlf//+/PjjjwwcOJCIiIhSj9V4KBpeJzS5jC+ibawQCdlzxbqKFN+/uzTmKQRGzx5MJ0Ddt6t+3YlcWglP/SjslCX/7X1VIaYfQsbZincy1DZVNC17SRgzZgwJCQm4u7sTEBCAhUXx6eeNGzcmJyeHuLg4rK1rVzFMDRoqG42gFIe2KZhNVGygiEVU+4K0fBRP/BUrWlmIyhCmsjBoA0ZdIeuS6utRJAZgteilW/Q3a9Ys4uLieOeddzh79izGxsZFjpFIJEovZcCAATVgpQYN1Ydmyqs81MSNTmJI5YiJXFEyvjqwXQp6zVWrwisxAIuZYOxWdXZVIV9//TXOzs6MGDECqVRa7DGaOIqG1wWNoNRWJBJFsFvtcbQUBQyrAy0DsNsCRm/+XdeqlI+XRF+xWX0Kph9Uj31VgEQiYe3atRgZGeHp6VlsiRZNHEXD64JGUGozZp5qruLXU7RPrq46Y6AQlYarwG4b1B2oEA0tY9Cqo/hXYgTa5mA+DZqdhHpDqs+2KkJHR4c9e/YQHR3N3LlzC6+MFwJXlzq80zkEns6Dp3Mh7mvI8K/V6240aKgImo6NtRmR93dnwPSKnS/RA/tjNdsZUZYGufcV/0p0FRUF9B1fyYq7KSkp9OzZEw8PDxYvmgepR+H5VkR+EvL8LLS1X5g6lRiBlj7U/0DRvVK7bs0ZrkGDipTUsVEjKLWdlAOQ8IPq2VMFiy6t/1U1dmkolmfPnjGg/1v8sbUFVvVSy/5/k+iDthnYbQLdhtVjpAYNaqJpAfyyUn+k4gm2pF4bxSExUKzet1pcdXZpKBZb6/pcOeiEiUFs+R4CRC7kx0HkOMhPqHoDNWioQjSC8jJgOQfMp/+94LK0lfzaiifeuu7QcI2mZHpNEPcl+pI4DPRUyQyUgyyd/2/v/lWjCqI4jv/m/nFzE1iX1VXBmJQWopJaJLVgqYVNbGIhlva+gaW1CIIiPoFg5QsIPkHAQhCSSBKMZJOxOFskG5Ss9+y9Tvh+moWFvZxqf8zMnXP09YlPTzSgJfzjpKK/InXv2BbY5hvZDfpDf1pxKHXv2htTZxqeIw8zXJe2P45GDEz8Y+vbtvtFqm64lwY0gUBJSTGQzj+Wzj2yGST7G3bPJO9KM9f+++aKp96P9zoS8pOKv6SNV1L13K0koEkESopCIVU3264C4zbf1ptaqQNp55O9EZc3dBkVcMQZCuAh7tmKsa5QSsNv9Z8DtIBAATwc/JTPgj+MpnMC6SFQAA9ZJWvoWVe0rgJAgggUwEMopbxX/zlxTyou1X8O0AICBfDSezBZp+VjMmn2NgfySBaBAng5e09SjYuJoSP1H7qVAzSNQAG8FH0bhfxPq5RcKuelmevuZQFNIVAATxefSeUVSZOMDMhsm2v+RXJTK4HDCBTAU1bZkLHO1ZM19AwdqbggLby2TyBhBArgLe9KCy+lwVOpuDwa5zy28gizUtaT+qvS4jta1+NUoPUKMA2hlHr37aB+97O09cHa08d9O2uZW5bmbkkhb7tSwA2BAkxTCDabplpquxJg6tjyAgC4IFAAAC4IFACACwIFAOCCQAEAuCBQAAAuCBQAgIsQ45+7o4YQvktaa64cAEACFmOMg/Ev/xooAACcFFteAAAXBAoAwAWBAgBwQaAAAFwQKAAAF78BXMyNC2tv1sYAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kPbYXBn1yYIJ"
      },
      "source": [
        "## Implementing Graph Neural Networks\n",
        "\n",
        "Ater learning about PyG's data handling, it's time to implement our first Graph Neural Network!\n",
        "\n",
        "For this, we will use on of the most simple GNN operators, the **GCN layer** ([Kipf et al. (2017)](https://arxiv.org/abs/1609.02907)), which is defined as\n",
        "\n",
        "$$\n",
        "\\mathbf{x}_v^{(\\ell + 1)} = \\mathbf{W}^{(\\ell + 1)} \\sum_{w \\in \\mathcal{N}(v) \\, \\cup \\, \\{ v \\}} \\frac{1}{c_{w,v}} \\cdot \\mathbf{x}_w^{(\\ell)}\n",
        "$$\n",
        "\n",
        "where $\\mathbf{W}^{(\\ell + 1)}$ denotes a trainable weight matrix of shape `[num_output_features, num_input_features]` and $c_{w,v}$ refers to a fixed normalization coefficient for each edge.\n",
        "\n",
        "PyG implements this layer via [`GCNConv`](https://pytorch-geometric.readthedocs.io/en/latest/modules/nn.html#torch_geometric.nn.conv.GCNConv), which can be executed by passing in the node feature representation `x` and the COO graph connectivity representation `edge_index`.\n",
        "\n",
        "With this, we are ready to create our first Graph Neural Network by defining our network architecture in a `torch.nn.Module` class:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AkQAVluLuxT_",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 121
        },
        "outputId": "af8f2379-f460-4fc8-d08c-2892830506f4"
      },
      "source": [
        "import torch\n",
        "from torch.nn import Linear\n",
        "from torch_geometric.nn import GCNConv\n",
        "\n",
        "\n",
        "class GCN(torch.nn.Module):\n",
        "    def __init__(self):\n",
        "        super(GCN, self).__init__()\n",
        "        torch.manual_seed(12345)\n",
        "        self.conv1 = GCNConv(dataset.num_features, 4)\n",
        "        self.conv2 = GCNConv(4, 4)\n",
        "        self.conv3 = GCNConv(4, 2)\n",
        "        self.classifier = Linear(2, dataset.num_classes)\n",
        "\n",
        "    def forward(self, x, edge_index):\n",
        "        h = self.conv1(x, edge_index)\n",
        "        h = h.tanh()\n",
        "        h = self.conv2(h, edge_index)\n",
        "        h = h.tanh()\n",
        "        h = self.conv3(h, edge_index)\n",
        "        h = h.tanh()  # Final GNN embedding space.\n",
        "        \n",
        "        # Apply a final (linear) classifier.\n",
        "        out = self.classifier(h)\n",
        "\n",
        "        return out, h\n",
        "\n",
        "model = GCN()\n",
        "print(model)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "GCN(\n",
            "  (conv1): GCNConv(34, 4)\n",
            "  (conv2): GCNConv(4, 4)\n",
            "  (conv3): GCNConv(4, 2)\n",
            "  (classifier): Linear(in_features=2, out_features=4, bias=True)\n",
            ")\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hjsb3Fst2P8k"
      },
      "source": [
        "Here, we first initialize all of our building blocks in `__init__` and define the computation flow of our network in `forward`.\n",
        "We first define and stack **three graph convolution layers**, which corresponds to aggregating 3-hop neighborhood information around each node (all nodes up to 3 \"hops\" away).\n",
        "In addition, the `GCNConv` layers reduce the node feature dimensionality to $2$, *i.e.*, $34 \\rightarrow 4 \\rightarrow 4 \\rightarrow 2$. Each `GCNConv` layer is enhanced by a [tanh](https://pytorch.org/docs/stable/generated/torch.nn.Tanh.html?highlight=tanh#torch.nn.Tanh) non-linearity.\n",
        "\n",
        "After that, we apply a single linear transformation ([`torch.nn.Linear`](https://pytorch.org/docs/stable/generated/torch.nn.Linear.html?highlight=linear#torch.nn.Linear)) that acts as a classifier to map our nodes to 1 out of the 4 classes/communities.\n",
        "\n",
        "We return both the output of the final classifier as well as the final node embeddings produced by our GNN.\n",
        "We proceed to initialize our final model via `GCN()`, and printing our model produces a summary of all its used sub-modules.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Dt8fPEmc4m5l"
      },
      "source": [
        "### Embedding the Karate Club Network\n",
        "\n",
        "Let's take a look at the node embeddings produced by our GNN.\n",
        "Here, we pass in the initial node features `x` and the graph connectivity information `edge_index` to the model, and visualize its 2-dimensional embedding."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nwHtX5siwe2v",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 432
        },
        "outputId": "eb852d2b-4ca6-43a2-d548-d12a6e965633"
      },
      "source": [
        "model = GCN()\n",
        "\n",
        "_, h = model(data.x, data.edge_index)\n",
        "print(f'Embedding shape: {list(h.shape)}')\n",
        "\n",
        "visualize(h, color=data.y)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Embedding shape: [34, 2]\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1-W5Kfhu5I-P"
      },
      "source": [
        "Remarkably, even before training the weights of our model, the model produces an embedding of nodes that closely resembles the community-structure of the graph.\n",
        "Nodes of the same color (community) are already closely clustered together in the embedding space, although the weights of our model are initialized **completely at random** and we have not yet performed any training so far!\n",
        "This leads to the conclusion that GNNs introduce a strong inductive bias, leading to similar embeddings for nodes that are close to each other in the input graph.\n",
        "\n",
        "### Training on the Karate Club Network\n",
        "\n",
        "But can we do better? Let's look at an example on how to train our network parameters based on the knowledge of the community assignments of 4 nodes in the graph (one for each community):\n",
        "\n",
        "Since everything in our model is differentiable and parameterized, we can add some labels, train the model and observse how the embeddings react.\n",
        "Here, we make use of a semi-supervised or transductive learning procedure: We simply train against one node per class, but are allowed to make use of the complete input graph data.\n",
        "\n",
        "Training our model is very similar to any other PyTorch model.\n",
        "In addition to defining our network architecture, we define a loss critertion (here, [`CrossEntropyLoss`](https://pytorch.org/docs/stable/generated/torch.nn.CrossEntropyLoss.html)) and initialize a stochastic gradient optimizer (here, [`Adam`](https://pytorch.org/docs/stable/optim.html?highlight=adam#torch.optim.Adam)).\n",
        "After that, we perform multiple rounds of optimization, where each round consists of a forward and backward pass to compute the gradients of our model parameters w.r.t. to the loss derived from the forward pass.\n",
        "If you are not new to PyTorch, this scheme should appear familar to you. \n",
        "Otherwise, the PyTorch docs provide [a good introduction on how to train a neural network in PyTorch](https://pytorch.org/tutorials/beginner/blitz/cifar10_tutorial.html#define-a-loss-function-and-optimizer).\n",
        "\n",
        "Note that our semi-supervised learning scenario is achieved by the following line:\n",
        "```\n",
        "loss = criterion(out[data.train_mask], data.y[data.train_mask])\n",
        "```\n",
        "While we compute node embeddings for all of our nodes, we **only make use of the training nodes for computing the loss**.\n",
        "Here, this is implemented by filtering the output of the classifier `out` and ground-truth labels `data.y` to only contain the nodes in the `train_mask`.\n",
        "\n",
        "Let us now start training and see how our node embeddings evolve over time (best experienced by explicitely running the code):"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "etxOsz8QIbMO",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "outputId": "db005e2e-6c8e-437b-b03f-12e75e8da472"
      },
      "source": [
        "import time\n",
        "from IPython.display import Javascript  # Restrict height of output cell.\n",
        "display(Javascript('''google.colab.output.setIframeHeight(0, true, {maxHeight: 430})'''))\n",
        "\n",
        "model = GCN()\n",
        "criterion = torch.nn.CrossEntropyLoss()  # Define loss criterion.\n",
        "optimizer = torch.optim.Adam(model.parameters(), lr=0.01)  # Define optimizer.\n",
        "\n",
        "def train(data):\n",
        "    optimizer.zero_grad()  # Clear gradients.\n",
        "    out, h = model(data.x, data.edge_index)  # Perform a single forward pass.\n",
        "    loss = criterion(out[data.train_mask], data.y[data.train_mask])  # Compute the loss solely based on the training nodes.\n",
        "    loss.backward()  # Derive gradients.\n",
        "    optimizer.step()  # Update parameters based on gradients.\n",
        "    return loss, h\n",
        "\n",
        "for epoch in range(401):\n",
        "    loss, h = train(data)\n",
        "    if epoch % 10 == 0:\n",
        "        visualize(h, color=data.y, epoch=epoch, loss=loss)\n",
        "        time.sleep(0.3)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/javascript": [
              "google.colab.output.setIframeHeight(0, true, {maxHeight: 430})"
            ],
            "text/plain": [
              "<IPython.core.display.Javascript object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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VTpouslw+r4cObR8xXPqk8zl998AWXVmW3/QIAB7E50hzPho+XF4aw1fBl1yl16WX4LnW5pJuVnmyp1PNnW3c7woAipU9KZ26RzrzE8n1SrEZ0ow7pGk3SSV8KVyxJk0X2dHuDmVyxd/WIDDT0e4Ojy0CgDLh8tKRv5T23iidulvKHJSyx6TenVLL/5ReWCt1PBJ5tZMmYMxMpd1X2iZP4wFgsnJOOvxRqeO/NPx95NPSkQ9LHT+OtOpJs42eVzm9/4tyipFzedWXeAdlALjgdP5c6txQXNkjfyzlS/s6+ZFMmoBZOWNuSTe8m185XXWV59+3PgLAuDrxjyUUzoddaBGZNAETWKA3LLykqK8iTgYx3bp49Ti0CgDOY/kuKb2ntHlOfTOy6idNwEjS9fOW6eo5jSOGTCKI6dZFq7VqxrxxbBkAnIdyp0ufJx/dyVOT5jRlKRzof9fSl2tJda2+f2Cr2tM9/adp55xT/ZRq3bb4ZbpkJuECAKMKxvLlhdFdGzOpAkYKQ2ZtXZOumdOoA2dO6VhPhwKZ5lVNZ1AfAEoRTJeUkFTCwH0iuh34SRcwfcxMi6bN1KJp0d4bBwAuGGZS9eul9vuLn6e2xNv7j2BSjcEAACI2+yMqelMfVEtTXxVZ1QQMAJSz2HRpwb9q1M29paRF34r0ljEEDACUu8orpEX3S6nVOnsQP5Aqr5Uavysl5kda7aQdgwEARKiiQWr4enjqcufjUq5NitVKVddIMT9fJ0/AAMCFJDZdqn7tuFRFFxkAwAsCBgDgBQEDAPCCgAEAeEHAAAC8IGAAAF4QMAAALwgYAIAXBAwAwAsCBgDgBQEDAPCCgAEAeEHAAAC8IGAAAF4QMAAALwgYAIAXBAwAwAsCBgDgBQEDAPAiPtENAAD4lc1m1dzcrL1796qrq0uSlEql1NjYqIULFyqRSHipl4ABgDLW3t6uJ598UrlcTrlcrv/57u5u7dy5U7t27dJVV12lmTNnRl43XWQAUKa6urr0+OOPK51OvyRc+uRyOWWzWT311FNqb2+PvH4CBgDK1I4dO5TNZkctl8vltHXr1sjrJ2AAoAyl02m1tLQUXb6tra1/fCYqBAwAlKHW1lYFQWmb+OPHj0faBgIGAMpQNpuVc67o8s65IcdpzgUBAwBlKJlMysyKLh8EQeSnKxMwAFCGZs2aVfIRTF1dXaRtIGAAoAzFYjEtXLiw6KOYOXPmKJlMRtoGAgYAytTy5cuVSqVGDZlkMqlLLrkk8voJGAAoU4lEQuvXr9e0adMUi8XOmh6LxVRZWan169crlUpFXj+3igGAMlZRUaFrr71WbW1t2rNnT/8V+1OnTlVTU5NmzZpV0skApSBgAKDMmZlmzJihNWvWjGu9dJEBALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOBFfKIbAAAYJ5mjUtt3pDMPSvluKTZNqr5Vmv7rUqwm8uoIGAAod85JJ78knfq65CQpHT6fOy6d/Bfp5Jel2R+Tat4WabUEDACUuxOfl9ruk1z67GmuJ/x5/HPhzwhDhjEYAChn6X1S272/CpLhuB7p+GelXFtkVRMwAFDOTn1DctkiC5t0+v7IqiZgAKCcdTwkKVdcWdcjtT8QWdUEDACUs3xXaeVzHZFVTcAAQDmzitLKB1Miq5qAAYByVrVOxW/qk9LUmyKrmoABgHI28z2SJYsra5Jq3hpZ1QQMAJSz1CVScnkRBSukmndLibrIqiZgAKCcdT4mpXeMXs5i0oz3RFo1AQMA5co56egnJNdbROGsdPreSKsnYACgXHVvLP60Y5eWTn2zhIsyR0fAAEC5OvMzyXUXX95lwlvLRISAAYByle9Q4fbJxbGg9AszR0DAAEC5is+SFCu+vMtG+r0wBAwAlKtpN0uWKL58bJaUaIisegIGAMpVxTIp2aDwCspRWEqaeYdkRZQtEgEDAOVs7p2SjXJ/MauQKpaHX50cIQIGAMpZxVJp4VfD7i+rHDQxFoZL5VXSgn8prTutCHxlMgCUu9TFUtOPpM6fh99umWmWlJCmXC7NeJdUscRLtQQMAFwILC5NvSF8jBO6yAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4EZ/oBgAAxkdHR4cOHTqk7u5uxeNx1dbWau7cuQoCP8caBAwAlLnOzk5t3rxZ7e3tyufz/c83Nzdry5YtWrFihRYtWhR5vQQMAJSxzs5OPfroo8pkMmdNy+VykqRt27Ypk8lo6dKlkdbNGAwAlCnnnJ5++ukhw2WgXC6nXbt2qa2tLdL6CRgAKFNtbW3q7u4uqmw+n9eePXsirZ+AAYAydeDAgf5usGIcPXq0pPKjIWAAoEx1dnaWPM9o3WmlIGAAoEyN5fTjKE9ZJmAAoEzV1taWFBiJREKJRCKy+gkYAChTDQ0NRZcNgkBNTU0ys8jqJ2AAoEwlk0ktWrRIsVhs1LLxeFwLFy6MtH4CBgDK2MqVK1VXVzdsyJiZksmkXvGKVyiZTEZaN1fyA0AZMzNdfvnlamlp0e7du9XR0aEgCOSck5lp8eLFamxsVEVFReR1EzAAUObMTPX19aqvr1dPT496e3sVi8VUWVnp7UaXEgEDABeUVCqlVCo1LnUxBgMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOAFAQMA8IKAAQB4QcAAALwgYAAAXhAwAAAvCBgAgBcEDADACwIGAOBFfLwrzOedMtmcEvGYgsDGu3oAuKCl02ml02nFYjGlUimZ+dsOj0vAOOe0c1+rHt3crPYz6f7np1YmtO7y+Vq5ZJbXFwkAFzLnnI4dO6bdu3erra1NQRDIOadEIqGmpiY1NDQokUhEXq8554ouvGbNGrdx48aSKshk8/q/39um1tM9w5apnprUe2+7RIk4PXYAECXnnDZv3qyWlhbl8/mzpgdBoGQyqXXr1mnKlCklL9/MNjnn1gw1zesW3Tmnb/339hHDRZLaz6T19f/a6rMpAHBB2rp1qw4fPjxkuEhSPp9XT0+PHnvsMeVyuUjr9howB4506MSp7qLKnj6T1vZ9J302BwAuKD09Pdq/f3/RZZubmyOt32vAPPyL4l5Yn8d+Ge2LA4AL2c6dO0sqv2vXrkjr9xYw+Xxerad7S5pn4AkAAIBz09LSUlL5np6eSLvJvAXMxuePjmm+nt5sxC0BgAtTJpMpeZ7hxmrGwlvAPL21tOTss2Nfa8QtAQAUKx6P7uoVbwHTmx7bYdb2vQz0A0AUSr22JR6PR3pN4qS78GSswQQAeKmGhgav5UfjLWDGGoIVyVi0DQGAC1RjY2NJRyQXXXRRpPV7C5iG+mklzxOPB1rRNMtDawDgwpNKpXTppZcqCEbf1F9xxRWR3y7GW8Dc8PJFpc/knFYuIWAAICoNDQ1avXq1giA4K2jMTLFYTGvWrNG8efMir9vbzS5n1qR05co6bdpW3OnK8Vig61++UMkEXWQAEKUFCxaovr5eR44cUXNzszKZjJLJpBYsWKC5c+cWdYQzFl7vpvzKQmA88ezhYcsEJllgum7NAq1ePttncwDgghWLxbRgwQItWLBg3Or0frv+tZfN09Wr5+oXW1v03K7j6u7JKpd3CgJTZSquS5bWavXyOaqaEv2togEAE2dcvg8mCAJds3qerlkdfR8fAGBymnTXwQAAygMBAwDwgoABAHhBwAAAvCBgAABeEDAAAC8IGACAFwQMAMALAgYA4AUBAwDwwpxzxRc2Oy5pv7/mAADOM4ucc0PeqbikgAEAoFh0kQEAvCBgAABeEDAAAC8ImPOImd1hZm6YR9sEt+1uMzsU8TL/1sy2mFmbmXWb2Q4z+7iZVY4wT5OZdRXWydIhpq83s8cLy2sxs8+Z2ZQxtu/6Qj03jmX+iWRmHyisz14z22lmv13CvKOuQzO73cweM7PjhTpeNLO7zKxhiOWtMrMHzeyMmZ00s6+Z2cxBZW42s58W6us1s0Nm9m0zWzn2tQDfxuULxxC5t0oavDHPTkRDPKuW9DVJOyX1SnqFpD+XdKWk24aZ558lnZZ0VmiY2WpJD0n6kaQ3SGqU9BlJ8yW9PeK2T1pm9gFJX5H0KUk/lvRqSf9sZuac+/Io8xa7DmdJ+omkT0tqk7Rc0l9IusnMVjrnOgrLmydpg6Qdkt4iqaawvO+Z2XrnXL6wvJmSNil8f49LapD0p5KeNLNLnXOc3ToZOed4nCcPSXdIcpKWTnRbhmjb3ZIOjUM9nyqsg9ohpr1T0lFJfzjUepL0n5JekJQY8Nx7CmWvGENbri/Me+NEr/8S2hyXdEzSvw16/quSTgxcN8PMP+Z1KOnmQrk3D3juHxQGUM2A564rlHvTKMtbXij3sYlerzyGftBFVoYGdKVdZ2b3D+h6+NIQXRn1ZvZ1MztR6HrYYma3D7HMRjO7Z0AXxV4z+8chyl1uZj8vdFO9UErXS5FOFn6+5IjNzGZI+pykP1K4wRrcroSkWyR92zmXGTDp25LSGv6I6JxY6COFbqi0mR0xsy+aWfWgch82s+2FbqdTZrbRzN44YPrNhW6p04X3c6eZfXwMTVorabakbwx6/h6FRx3rR3gt57oOh3rvbpX0fedc/3vmnPuZpANjXB4mEQLm/BQzs/igx1Dv5Tck7Zb0JoV7ih+Q1N8FYmZVkh6R9FpJfybp1yU9J+keM/vggHKNkn6hcM/y4wo3Mn8tqXZQfdWSvlmo9zZJT0v6spndMLBQIfzuLvbFFl7f1MJYx0clfXXgBqng05J2OOfuGWYxSySlJG0d+KRzrkfSHkm++vL/RmHwPVQwW6wAAAadSURBVCTp1wrtvEPS9/veMzN7l6TPSvqWpNdJepekf1fYLSQza5L0gKR9Cruhbi0ss6qvEjNbXFivfzVKe1YVfm4d9PzzhZ8jrYeS16GZxcysotC19jlJ2xR2r6mws9M4RFv62jPc8pJmdpHCbr4WhesNkxBjMOenHUM8932FfeID/bdz7o8Kvz9oZk7SJ8zsTufcLknvk3SRpBuccxsK5X5gZnWSPmlmdznncgrDZIqklznnDg9Y/r8Nqm+apA855x6WJDP7mcJukd+Q9PCAcrnCY1RmdonC0OvzdUkfHFTmWoXdNJePsKi+QeNTQ0xrHTA9MoWB6o8p7I76vcLTP7Lwjhj3KHy/HlB4VLHFOfeJAbP/94Dfr5CUlPQ7zrn2wnM/HVSdU7hO8xrZcOuhddD0Uubtm3+oeY8qPDKSpI0KuxN7Cn/PkGQjLG/5EM8/pXAMTgp3nl7lnDs2QpsxgTiCOT+9UdLLBz3+cIhy3x70970K3/OrCn9fJ6l5QLj0+YbCbpS+PcibJH1vULgMpasvXCTJOdcraZfCAVkNeD7unHv/KMvqs1vh67te4VHWGxWGjCTJzJIK92T/wTm3rchljpdrFAbD4O6oexV267yy8PfTki4zsy+Y2Y129llyz0jKSLrXzN5iZnMGV+Sc219Yr58YPG2CvVrhyRnvVziA/5CZ1ZzD8t6tcL2+U1J7YXmLz7GN8ISAOT9tdc5tHPTYPUS5o8P8Pb/wc6akI0PM1zJguhTugRZzCvJQe6K9CrtVxsQ511N4fY845z4l6Q8kvdPMrikU+UOFe8L/ZGY1hY1X3wZ6mplNG9S2GUNUM1O/2oOPUt/6e8k6ds5lFY4f9E3/uqTfkXS1wu6jVjP7j74NZ+G9vVnh5/UeSS1m9qSZvVKlG2499LVlpPVQ8jp0zj3rnHvCOfdVha9hpaS+cbk2hUdepSxvu3PuKefctxSG11SFZ5NhEiJgylvdMH83F362Spo7xHxzB0yXwrOL5g9RbiJsLPzsu8ZlpcL2NivcAJ6S9KXCtF9K+nnh9z0Kw65vDEKSZGYpSU0Kxwai1rf+XrKOzSyuMLRbJcmFvuKcu0rhuNZ7FR5l3tc3j3PuYefcLQqPAm5UeAT0fTMbPA42mr6xllWDnu87Wh1pPZzTOnTO7VX4mpcW/u6S9OIQbelrz2jLa1N4hHvW9U6YHAiY8va2QX+/Q2Ef/VOFvx+RtMDM1g0q906Fp7L2fcAflPQGM6v31dAS9O217yn8/FtJNwx6/F1h2u2SflOSnHNpST+U9LbCBr7PWyRVKBwLidqTCs+ueseg59+ucPxzw+AZnHOnnHP3KezevGSI6b3OuZ8qPFmgSuEgeSmeULjD8K5Bz9+ucOP/2HAznus6NLNVCoN1z4CnH5D0ejObPqDcekmLilhenaSLBy0Pk8lEnyfNo/iHfnUdzFsU9kMPfsQHlTug8KK11yi8QDEt6WsDllelcIzkqMIN8S0Ku2CcpA8OKLdY4cVt+xSeiXaDwg3SNwaUuVtDXAejcCO6YdBzWUl3jfJaVysMtg8o7Ap5ncIw6VZ48kIx62nwdTCXSeqR9B+FZb5f4Ub1O4PKXV+Y/45R6ukr99eF92Tg49cLZe4slPm8wrGsD0vqUHhkFRTK/G+FZ5G9ReG42G8W1vd/Fqb/tsKz825XGLBvVngk1yxpSqHMosJ6/XgR/0e/rXBH45OF1/CJwt+/O6jcXZKyY1yHjyo8weH1hXIfUdjNelADrmFSeGR8QuHOzi0Kw3e/wnAOBpT7T4UXat5W+P/7LYUnu7RJWjbRn00ew/yvTXQDeJTwZv1qwznco3ZQuesk/ZekM4WNwJf6NkgDllmvMFROKOz+2CLp9iHqXqLwdNAThQ3MHkmfGzD9bhUfME7S3aO81rrCRnWfwlA5qXAw/HclVRS5ns66ILWwTp4ovIajCjf8lYPKvL4w/y2j1HP9CO/FmUIZK2xcdyoM+COF96F6wHLeW1hPxwrvwT6Fp5VXF6avLbyPBwvTj0j6jqTlA5axuFDvXxX5v/RbCncuehVeOPmhIcrcrbAHbyzr8LMKz/5rL/z/bVO4szNniOVdqvA07k6FXZx3S5o1qMyfKLySv01SV2F9fkXS4on+XPIY/sH3wZQhM7tD4S1WLnJDD/5jBGZ2p8JrTS51fECAMWMMBjjbKyXdSbgA54YLLYFBnHODT3oAMAZ0kQEAvKCLDADgBQEDAPCCgAEAeEHAAAC8IGAAAF78fzslgNJyAb+2AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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WscHC788S2EDPHt+nd7SsdtgqACghZUukpvsmrbppEzC9w0OKGU8pFXYXtoy16mQcBgCKk2yTBrZKdlDyZ0nVN4XdaA5Mm4CJe37Rt1gt5nbFAHBJG3xZOvYnUuqgzjq9/7gnVa4Pj2z8GZFWOW0G+RsramSKuE9KmR/TFTPmOmwRAJSIvk3SoQ9Kqf0699oxgTTwjLT3LVIq2huOTZuAiXm+Ns5dUvDFJ33jac2s+Y5bBQAXudQR6eh/0bgXJbOD0sH3RVr1tAkYSfq55isK6vZKeL5+vnXtBV8JGQBK3skHVPAVLzNdUv/myKqeVnvoukRF9r7tCcXNuZepNwrD5c6FV+qGuUsmv4EAcDGxgdT3veKW6fjbyKqfdqPk86tm6HPr3q6nju7Wj9p3Khmkz9y3fc2s+bqteYVaamZNdTMBYPoL+qUCZ+aekToYWfXTLmAkqTpepjsXXqk7FqxUX2pImSBQdbwsssvrA8ClYSKdVMXN5h3LtN5je8aoLhHdvQkA4JLiVSkcXCgiNEx0l4uZVmMwAIAIGRNeZ6wYtW+LrHoCBgBK2ZyPF1HYSLM+GFnVBAwAlLKKFVLtewooaKRZvyXFGiKrmoABgFLX+Clpxj06/y7fl2b9rjTrw5FWO60H+QEAETBGaviYNPNXpe6HpL7vS8FgOAmg7t1S3Xul2MzIqyVgAOBSEZslzflo+JgEdJEBAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnYlPdAACAe729vdq7d686OzsVBIHKy8vV2tqqpqYm+b7vpE4CBgBKWCaT0datW9XZ2Slrray1kqRkMqnXXntN27Zt07XXXqtZs2ZFXjddZABQooIg0LPPPnvmqGUkXEZkMhml02k9//zz6u7ujrx+AgYASlR7e7t6e3sVBMGY5TKZjF566aVzAuhCETAAUKLa2tqUyWQKKjs8PBz5UQwBAwAlaHBwUIODgwWXz2Qyam9vj7QNBAwAlKBUKiXPK24Xn0wmI20DAQMAJSgWi4079pIrHo9H2gYCBgBKUEVFhRKJRMHlfd9XU1NTpG0gYACgBBljtHjx4oK7yXzf15w5cyJtAwEDACVq4cKFqqyslDFmzHKe52nNmjXjlisWAQMAJcr3fa1fv141NTV5LwfjeZ48z9PatWvV2NgYef1cKgYASlgikdCGDRt04sQJ7dmzRz09PQqCQIlEQosWLdKiRYtUVlbmpG4CBgBKnDFGjY2NTo5SxkIXGQDACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcCI21Q0AAEySTK/U+22p7zEp0y/5dVLdO6Sat0heReTVETAAcCno/mfp5N9JMpIdCp9LSUrulE78d6nx01LtnZFWScAAQKnrelDq/AfJJs99zQ6G/x7/nGQzUt3bI6uWMRgAKGWpdqnzgZ8etZyPHZJO3Bd2o0WEgAGAUtb9dckGBRY2Us+/R1Y1AQMApazvOwoHWwpgh6Teb0VWNQEDAKUs6C+ufKYnsqoJGAAoZSZRZPnyyKomYACglFVep8J39XGp+sbIqiZgAKCU1X9ABZ+RYjxpxi9GVjUBAwAlzZOULqxo9a1SYkGkNQMAStWJP5VUyDRlE146JkIEDACUquRuaXh/gYWt1PMtKchztv8EETAAUKpOPxNe/qVQxkhDr0dWPQEDAKUq06+Cx18kSab482bGQMAAQKny6yTFi1jARjoOQ8AAQKmqviWcelywmFS+MrLqCRgAKFWJ5mxgmPHLmjKp/hclE91dXAgYAChljZ+RvMpxCsWlWJNU/yuRVk3AAEApSyySFnxF8mdLJjdojGQqpLJl0sIHCwii4nBHSwAodWVLpMsek/qfkk49HN6ETJ5UviI8ailfHU5RjhgBAwCXAhOTam4JH5OELjIAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJyITXUDAACTJ51OK5lMyvM8lZeXyxjjrC4CBgAuAV1dXWpra1NHR4c8z5O1Vr7vq7W1VS0tLUokEpHXScAAQInbsWOH9u3bp0wmI0ln/g2CQG1tbdq3b5/Wr1+vmpqaSOtlDAYASti+ffvOCpdcQRAolUppy5YtSiaTkdZNwABAicpkMtq5c+d5wyW37L59+yKtn4ABgBJ17NgxWWsLKhsEgQ4cOKAgCCKrn4ABgBLV0dFR0NHLiCAINDAwEFn9BAwAlKhiwkWSjDEcwQAAxldRUVFU+SAIVFZWFln9BAwAlKgFCxbI8wrfzdfV1REwAIDx1dTUqLa2tqCz9X3f15IlSyKtn4ABgBJ29dVXKxYb+5x63/c1b948NTQ0RFo3AQMAJayyslIbNmxQbW2tfN8/6zXf9+V5nlpbW7V69erIr0vGpWIAoMRVVlZq48aN6unp0cGDBzUwMCDP8zR79mw1NzcrHo87qZeAAYBLRF1dnVatWjVp9dFFBgBwgoABADhBwAAAnCBgAABOEDAAACcIGACAEwQMAMAJAgYA4AQBAwBwgoABADhBwAAAnCBgAABOEDAAACcIGACAEwQMAMAJAgYA4AQBAwBwgoABADhBwAAAnCBgAABOEDAAACcIGACAEwQMAMAJAgYA4AQBAwBwgoABADhBwAAAnCBgAABOEDAAACcIGACAEwQMAMAJAgYA4AQBAwBwgoABADhBwAAAnCBgAABOEDAAACcIGACAE7HJqqh/YFhPbT2s/Ud6lAmsyuK+Vi+do3UrGxWL+ZPVDAC4JFlrdeLECR04cEBDQ0PyfV8NDQ1atGiREomEkzqNtbbgwuvWrbNbt24tqgJrrR7dtEd7Dp3K3wBJN795odZe0VDUegEAhenu7tYLL7ygdDqtIAjOPG+MkTFGra2tuuKKK2SMKXrdxpgXrbXr8r3m9AjGWqv/94OdOny8//xlJD353EFZa3XV8kaXzQGAS053d7e2bNmifAcT1lpZa7V3716lUimtWrVqQiFzPk7HYNoOnhozXEbb9PwhDacyLpsDAJcUa62ee+65vOGSW+7QoUPq7OyMtH6nAfPjFw4VVf4/f9LuqCUAcOk5cuSI0ul0QWWttdq9e3ek9TsLmFQ6o77Tw0Ut89ruk45aAwCXnmIDo7OzU5lMdD1JzgLmhW1Hi15mOBWMXwgAUJCBgYGil0mlUpHV7yxgXt5+YkLLpdKEDABEoZhZwiN8P7rTRpwFTHICRyNG0pETfdE3BgAuQZ5X/C4+FotucvG0OpPf9z0lh5lJBgBRmDt3blHl6+vrL45pyhNpoudJiThn9QNAFJYsWVJU+RUrVkRav7OAaZ5bU/Qy1krzG4tfDgBwrpqaGs2fP7+gsnPnzlV9fX2k9TsLmJvfvKCo8p4nrVg8S/HYtOq1A4CL2po1azR//vzzjscYY9TU1KSrr7468rqdXSpm9oxKrV02Rz/Z2VFQ+YqyuNavneeqOQBwSfI8T2vXrlVLS4v27Nmj48ePy1orY4waGxt12WWXRT72MsLptchuuW6REnFfz287dt4yvmdUXRnXL9y+TBXlcZfNAYBLkjFG9fX1WrcuvCblSMC45vxy/Tdc06zr1szTlp+0a1vbSSWHM7JWivlGDbMqde2VTWqdXyfPc/9mAQCalHCRJul+MLGYp43rFmjjuuLGZQAAFy9G1AEAThAwAAAnCBgAgBMEDADACQIGAOAEAQMAcIKAAQA4QcAAAJwgYAAAThAwAAAnTDH3bDbGdEg64K45AICLzCJr7Zx8LxQVMAAAFIouMgCAEwQMAMAJAgYA4AQBc5EwxtxrjLHneZya4rY9aIw5HPE6/9wY86ox5pQxZtAYs8MY82ljTGVOOd8Y8/vGmG3GmNPGmKPGmG8ZY1bnWedKY8wPjTH9xphOY8w/GWNmTrB9Ldlt/6GJvsepYox5lzHmZWPMkDHmgDHmj40xfoHLjrsNjTHvNcb8a3bdg8aYncaY+40xNTnlRrZhvseMnLLnK7f2wrcIXJmUG44hUr8gKXdnnp6KhjhWK+mfJO2UlJS0XtIfSbpG0jtHlftTSf9N0v2SnpQ0O1tukzFmjbX2sCQZY+ZJ+rGkHZLeK2mGpC9I+o4x5gZrbTAJ72nKGWNul/Svkr4s6Q8kXSXpzyTVKNyOYy1b6Db8mKSDkv5Q4Xf1KkmflXSzMWZ9nm19v6RHc57ry9OEByV9Kee5XWO1GVPMWsvjInhIuleSlbRkqtuSp20PSjo8CfXcn90Gs0c9d0TS13LKXZEt9+ujnvtrSackzRj13MZsufdMoC0t2WU/NNXbv8h2vyxpc85zn5Y0LGnuOMsWtA0lzcmz7K9ky90ykW2YLXffVG8/HsU96CIrMaO60jYaYx4Z1ZXx98aYipyyTcaYrxpjThpjktkuqXvyrLPVGPOQMeZYttxeY8zf5il3lTHmaWPMgDFmtzHmNyJ+e53Zf0cfsSUk9eaUG+kyHP39foek71prz3QnWmufUvhLe/QRUaSMMfcYY17JdkedzG7Hppwyd2e7rPqNMb3GmNeMMb8+6vVrjTGPZz/Hwez2/+IE2rJA0lpJD+e89JCkuKS3jLOKgrahtbYjz7IvZP+dX2SzcREjYC4+vjEmlvPI9zk+LKlN0nsU/vL8sKQHRl40xlRJ2qxwp/KHkt4l6TVJDxljPjKqXKuk5xX+Uv20pDsk/YnCrqjRaiV9LVvvOxXuUB4wxtw8ulA2/B4s9M1m31+1MebnFHbp/OPoHZykL0q6xxjzTmNMrTHmsuxzhyV9I7uOCkmtkrblqeJ1SSsKbU8xstvxIUlvKPwcPiHpdkmbjTHV2TI3KNxmmxV+Bu+V9L8Vdj8pW+4HkjIKj2LfIulzyuneLnC7rsz+e9Z2sNbukzSgMbZDBNvwxuy/b+R57ZEQb2gAAAYsSURBVH5jTNoY02OMedQYs+o86/jN7A+cAWPMk8aYDePUiak21YdQPAp76KddZPke38lT7h9ylv8jhTuppdm/fydb7qacck9IOiHJz/79VUn9kuaN0bYHs+u6edRzZQqPOP5XTtm0pC8X+J6vzHmfXxlpV065P86+t5FyOyUtHvX6vOzzv5Fn2Ycl7ZnA59GiMbp3JPmSjkvalPP8Ddnlfi/798ckdY1Rz7ps+dXjtGfc7Srp7uy6rsjz2uGxlr+QbajwqOWEpMdznm+S9A8Kw3eDwh9B+xSOvyzPKfuQpLuy5e6R9IqkVO73l8f0ejDIf/F5t84d5M83i+wbOX9/XdJ9kt6kcGB0o6R2a+2Pc8o9rHBwfYXCI5rbFAbYkXHaNWCt3TTyh7U2aYzZJWnh6ELW2mK+c22SrpVUpXCQ/5MKf7n/0kgBY8xvKgzP+yRtUnhk9QlJPzTGbCig3a4sk9SQbdsZ1tpnjDEHFP6i/zuFR3r1xpiHFX5Gz9izj9B2K/x8v2SM+XuF4yeHcisrcrtOmuwR2L8rDMBfHf2atfaopNHdqE8bYx5TeET0RwqDZKTsL+eU+3eFR1P3KQxtTEN0kV18tllrt+Y82vKUO36ev0f6wGdKOppnuWOjXpekWTo30PLpzvNcUlJ5AcvmZa0dyr6/zdba+yX9nqS7jTHXSVJ2euxfS/pLa+1nrLU/ttZ+U2EozpH0X7OrOqXw13d9nmpmSuqaaBvHMLL9zreNZ0qStXazwpmBCyR9S1KHMeYJk51mba3tkXSzwskMX5R00IRTsn9+Am0a+YzybYd6jb0dit6G2W61b0u6TNLtNjujbyzZ8HxG4Q+Lscr1SfrueOUwtQiY0tV4nr/bs/92SZqbZ7m5o16XpJOaPgOzW7P/Lsn+u1RhV9wLowtZa7sk7ZG0PPv3gKT9+ukYxGgrJG130NaR7Xe+bXxmh2yt/aa19kaFO+93K+w6emxkbM1a+xNr7c8r3JFfr/C9fcMYc2WRbXo9++9Z28EY0yKpUmNsh2K3oTEmLumbCrv47rTWvlZkWwu9SCIXU5zGCJjS9b6cv98vKZD0XPbvzZKajTE/k1PuboX95SM7jB9KelvuzKcpMjJQvCf778jR1ptGF8oe2SzRT8NUCs+zeKsxpm5UuRskLdK552BEYafCo8b357RtfbbOH+cuYK3tt9Z+R+G5Hk0Kjx5Hv5621j4r6VMK/+8uL6ZB1tqDCscufinnpXsUjmd8f5xVFLQNs8H4z5JukfSubJsLYoxZqLDL6/lxytVKett45TDFpnoQiEdhD/108P69kq7L84jllDuo8CS4WxX2Zw9L+qdR66tSOBZzXNKHFM4Oeyi77EdGlWuR1KFw8PXDCrtr7pH08KgyDyrPeTAKd6I/znmukMHo1QqD7cOSflbSnZL+XNKgpO/llP22wq64z2XLvk/hkc6wpHWjys1XeDS2Ofte71J464lnJXk579dK+uw4bRwp90D2M8l9JCR9JFvm4WydH1QYirskVWXX8zmFgfJ+heNidysce3o5+/rbFO68fy277d+W3Ta9kpqL2a7Zcncq/KHxJUk3Sfp9SUOSvpBT7tPZdS6awDZ8IPu+79O539PRbf4rhV2c78u+t9/Iru+UpGWjyn1M4cy6u7Nt/oDC8cFhSRum+v8mjzG+b1PdAB4FflBjzyI7c/LhqHIbFQ6u9ivsjvl7SRU562xSGConFe6kX5V0T566F0v6v9lyQwqPIP7HqNcfVOEBYyU9OM57bVQ45XmfwlDpVNgN9tuSynLKVir8Rb9d0mmFYx7flfSmPOtdJenxbLnubLtn5ZRZqfPMlsop11Lg5zEy4ymZfR8PSWoatZ63KpyGfDRb5pDCs+znZV9fJulfsttiSGHYf0/Sm4vdrqPKvmdUmw4qDBM/p8xns+tsmcA23D/GdvnsqHK/lv1cuxUeQR3Lfu7Lctb3dkn/kf3+pbLb8dF8nzGP6fXgfjAlxhhzr8JZYJfb/IP/GEP23JXPK/zlPjDV7QEuZozBAGe7UdJfEy7AhZuWc+eBqWKtzR0ABzBBdJEBAJygiwwA4AQBAwBwgoABADhBwAAAnCBgAABO/H9ZDsnO9dVxMAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NgcpV4rjAWy-"
      },
      "source": [
        "As one can see, our 3-layer GCN model manages to linearly separating the communities and classifying most of the nodes correctly.\n",
        "\n",
        "Furthermore, we did this all with a few lines of code, thanks to the PyTorch Geometric library which helped us out with data handling and GNN implementations.\n",
        "\n",
        "## Conclusion\n",
        "\n",
        "This concludes the first introduction into the world of GNNs and PyTorch Geometric.\n",
        "In the follow-up sessions, you will learn how to achieve state-of-the-art classification results on a number of real-world graph datasets.\n",
        "\n",
        "[Next: Node Classification with Graph Neural Networks](https://colab.research.google.com/drive/14OvFnAXggxB8vM4e8vSURUp1TaKnovzX)\n"
      ]
    }
  ]
}