jpcbertoldo/2023-11-matrix-multiplication.ipynb

## 2023-11-matrix-multiplication.ipynb
{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "view-in-github"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/jpcbertoldo/ba1243f5f0cda1f738427870be7884fc/2023-11-matrix-multiplication.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>\n",
        "\n",
        "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gist/jpcbertoldo/ba1243f5f0cda1f738427870be7884fc/HEAD?labpath=2023-11-matrix-multiplication.ipynb)\n",
        "\n",
        "Github Gist: [gist.github.com/jpcbertoldo/ba1243f5f0cda1f738427870be7884fc](https://gist.github.com/jpcbertoldo/ba1243f5f0cda1f738427870be7884fc)\n",
        "\n",
        "Slides: [docs.google.com/presentation/d/e/2PACX-1vQj5Vz6uOBMRB7iEhPpIDaWFtk3_OBP0inbn2k_gm7M2hgkN0RQRJkCBC45TOImwxWbRMGjxS3t1XFe/pub](https://docs.google.com/presentation/d/e/2PACX-1vQj5Vz6uOBMRB7iEhPpIDaWFtk3_OBP0inbn2k_gm7M2hgkN0RQRJkCBC45TOImwxWbRMGjxS3t1XFe/pub)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dzw1QJ8F83Gm"
      },
      "source": [
        "# Setup"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "setting numpy print precision to 1\n"
          ]
        }
      ],
      "source": [
        "def ipython_show_all_outputs():\n",
        "    \"\"\"make a cell print all the outputs instead of just the last one\"\"\"\n",
        "    from IPython.core.interactiveshell import InteractiveShell\n",
        "    InteractiveShell.ast_node_interactivity = \"all\"\n",
        "\n",
        "\n",
        "def set_numpy_print_precision(prec: int = 3):\n",
        "    import numpy as np\n",
        "    print(f\"setting numpy print precision to {prec}\")\n",
        "    np.set_printoptions(floatmode=\"maxprec\", precision=prec, suppress=True)\n",
        "\n",
        "ipython_show_all_outputs()\n",
        "set_numpy_print_precision(1)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<contextlib.ExitStack at 0x7f80efac49a0>"
            ]
          },
          "execution_count": 2,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "import numpy as np\n",
        "from matplotlib import pyplot as plt\n",
        "from matplotlib import collections  as mc\n",
        "\n",
        "%matplotlib inline\n",
        "plt.ioff()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_git_commit() -> str:\n",
        "    try:\n",
        "        import subprocess\n",
        "        return subprocess.check_output(['git', 'rev-parse', 'HEAD']).decode('ascii').strip()\n",
        "    except:\n",
        "        return \"3ef3488a66d5f85b7c5cddf30207366dfffdbf43\"\n",
        "\n",
        "def download(filename):\n",
        "    GIST = \"ba1243f5f0cda1f738427870be7884fc\"\n",
        "    COMMIT = get_git_commit()\n",
        "    GIST_URL = f\"https://gist.githubusercontent.com/jpcbertoldo/{GIST}/raw/{COMMIT}\"\n",
        "    import requests\n",
        "    img_data = requests.get(f\"{GIST_URL}/{filename}\").content\n",
        "    with open(filename, 'wb') as handler:\n",
        "        handler.write(img_data)\n",
        "\n",
        "def is_in_colab():\n",
        "    try:\n",
        "        import google.colab\n",
        "        return True\n",
        "    except:\n",
        "        return False\n",
        "\n",
        "if is_in_colab():\n",
        "    print(\"downloading images\")\n",
        "    download(\"point.png\")\n",
        "    download(\"square.png\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PPhY2-k583Go"
      },
      "source": [
        "# Point $P$ in a 2D plane\n",
        "\n",
        "$u, v \\in \\mathbb{R}$ are the coordinates of a point $P$ in the horizontal and vertical axis, respectively.\n",
        "\n",
        "<!-- ![point.png](point.png) -->"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "from IPython.display import Image; Image('point.png')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "liGo_zNN83Go"
      },
      "source": [
        "# Square $X$\n",
        "\n",
        "$X$ is a square represented by its 4 corners $P_1, P_2, P_3, P_4$.\n",
        "\n",
        "$X = \\begin{bmatrix} P_1 & P_2 & P_3 & P_4 \\end{bmatrix}$\n",
        "\n",
        "$X = \\begin{bmatrix} u_1 & u_2 & u_3 & u_4 \\\\ v_1 & v_2 & v_3 & v_4 \\end{bmatrix}$\n",
        "\n",
        "$X = \\begin{bmatrix} 1 & 1 & -1 & -1 \\\\ 1 & -1 & -1 & 1 \\end{bmatrix}$\n",
        "\n",
        "<!-- ![square.png](square.png) -->"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "execution_count": 5,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "from IPython.display import Image; Image('square.png')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EgxZvndS83Gp"
      },
      "source": [
        "# Linear transformation $A$\n",
        "\n",
        "$A$ is a linear transformation represented by a $2 \\times 2$ matrix.\n",
        "\n",
        "$A = \\begin{bmatrix} a_{11} & a_{12} \\\\ a_{21} & a_{22} \\end{bmatrix}$\n",
        "\n",
        "We can apply $A$ to $X$ and obtain a new object $Y = A \\cdot X$.\n",
        "\n",
        "$X: 2 \\times 4$\n",
        "\n",
        "$A: 2 \\times 2$\n",
        "\n",
        "> What is the shape of $Y = A \\cdot X$?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Y4VBBG6H83Gp"
      },
      "source": [
        "<details>\n",
        "<summary>Answer</summary>\n",
        "\n",
        "$Y: 2 \\times 4$\n",
        "\n",
        "like\n",
        "\n",
        "$X = \\begin{bmatrix} u_1 & u_2 & u_3 & u_4 \\\\ v_1 & v_2 & v_3 & v_4 \\end{bmatrix}$\n",
        "\n",
        "$Y = \\begin{bmatrix} u_1^\\prime & u_2^\\prime & u_3^\\prime & u_4^\\prime \\\\ v_1^\\prime & v_2^\\prime & v_3^\\prime & v_4^\\prime \\end{bmatrix}$\n",
        "\n",
        "so\n",
        "\n",
        "$X = \\begin{bmatrix} P_1 & P_2 & P_3 & P_4 \\end{bmatrix}$\n",
        "\n",
        "$Y = \\begin{bmatrix} P_1^\\prime & P_2^\\prime & P_3^\\prime & P_4^\\prime \\end{bmatrix}$\n",
        "\n",
        "\n",
        "</details>\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cCJRj0d083Gp"
      },
      "source": [
        "---"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aOylS6I383Gp"
      },
      "source": [
        "# Points $P$ and square $X$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Shapes\n",
            "P1.shape=(2, 1)\n",
            "P2.shape=(2, 1)\n",
            "P3.shape=(2, 1)\n",
            "P4.shape=(2, 1)\n",
            "\n",
            "X.shape=(2, 4)\n",
            "\n",
            "\n",
            "X = [P1 P2 P3 P4]:\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "array([[ 1.,  1., -1., -1.],\n",
              "       [ 1., -1., -1.,  1.]])"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "P1 = np.array([1, 1]).reshape(2, 1).astype(float)\n",
        "P2 = np.array([1, -1]).reshape(2, 1).astype(float)\n",
        "P3 = np.array([-1, -1]).reshape(2, 1).astype(float)\n",
        "P4 = np.array([-1, 1]).reshape(2, 1).astype(float)\n",
        "\n",
        "X = np.concatenate((P1, P2, P3, P4), axis=1)\n",
        "\n",
        "print(\"Shapes\")\n",
        "print(f\"{P1.shape=}\")\n",
        "print(f\"{P2.shape=}\")\n",
        "print(f\"{P3.shape=}\")\n",
        "print(f\"{P4.shape=}\")\n",
        "print(f\"\\n{X.shape=}\")\n",
        "\n",
        "print(\"\\n\\nX = [P1 P2 P3 P4]:\")\n",
        "X"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bCOEfXDG83Gp"
      },
      "source": [
        "# Drawing a square $X$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "COLORS = [\"tab:orange\", \"tab:blue\", \"tab:red\", \"tab:green\"]\n",
        "\n",
        "\n",
        "def plot_polygon(ax, X, zoom=0.85, annotate=True):\n",
        "    \"\"\"plot a square given the coordinates of its vertices\n",
        "    Args:\n",
        "        ax: matplotlib axis\n",
        "        X: 2x4 numpy array of coordinates of vertices\n",
        "            the order of the vertices is\n",
        "            (top right, bottom right, bottom left, top left)\n",
        "    \"\"\"\n",
        "\n",
        "    assert X.shape[0] == 2, f\"{X.shape=}\"\n",
        "    assert X.shape[1] in (3, 4), f\"{X.shape=}\"\n",
        "    is_square = X.shape[1] == 4\n",
        "\n",
        "    # draw the square\n",
        "\n",
        "    sides = mc.LineCollection([\n",
        "        X[:, [0, 1]].T,\n",
        "        X[:, [1, 2]].T,\n",
        "        X[:, [2, 3]].T,\n",
        "        X[:, [3, 0]].T,\n",
        "        ],\n",
        "        colors=COLORS,\n",
        "        linewidths=10, zorder=5,\n",
        "        label=\"square\"\n",
        "    ) if is_square else mc.LineCollection([\n",
        "        X[:, [0, 1]].T,\n",
        "        X[:, [1, 2]].T,\n",
        "        X[:, [2, 0]].T,\n",
        "        ],\n",
        "        colors=COLORS[:3],\n",
        "        linewidths=10, zorder=5,\n",
        "        label=\"triangle\"\n",
        "    )\n",
        "    ax.add_collection(sides)\n",
        "\n",
        "    # draw the vertices\n",
        "    for idx, (P, color) in enumerate(zip(X.T, COLORS)):\n",
        "        ax.scatter(*P, color=color, s=800, zorder=10, edgecolor=\"black\", label=f\"P{idx+1}\", linewidths=3)\n",
        "\n",
        "    if is_square and annotate:\n",
        "        # P1 is the one with the highest x and y\n",
        "        P1 = X[:, (idx1 := np.argmax(X[0] + X[1]))]\n",
        "        P3 = X[:, (idx3 := np.argmin(X[0] + X[1]))]\n",
        "        idxs_not_used = sorted(set(range(4)) - {idx1, idx3})\n",
        "        X_not_used = X[:, idxs_not_used]\n",
        "        P2 = X_not_used[:, (idx2 := np.argmax(X_not_used[0] - X_not_used[1]))]\n",
        "        idx4 = idxs_not_used[1 - idx2]\n",
        "        P4 = X[:, idx4]\n",
        "        # annotate the vertices\n",
        "        ax.annotate(\n",
        "            f\"({P1[0]:.1f}, {P1[1]:.1f})\",\n",
        "            P1, xytext=(0, 35),\n",
        "            textcoords=\"offset points\",\n",
        "            ha=\"center\", va=\"bottom\",\n",
        "            fontsize=12\n",
        "        )\n",
        "        ax.annotate(\n",
        "            f\"({P2[0]:.1f}, {P2[1]:.1f})\",\n",
        "            P2, xytext=(0, -35),\n",
        "            textcoords=\"offset points\",\n",
        "            ha=\"center\", va=\"top\",\n",
        "            fontsize=12\n",
        "        )\n",
        "        ax.annotate(\n",
        "            f\"({P3[0]:.1f}, {P3[1]:.1f})\",\n",
        "            P3, xytext=(0, -35),\n",
        "            textcoords=\"offset points\",\n",
        "            ha=\"center\", va=\"top\",\n",
        "            fontsize=12\n",
        "        )\n",
        "        ax.annotate(\n",
        "            f\"({P4[0]:.1f}, {P4[1]:.1f})\",\n",
        "            P4, xytext=(0, 35),\n",
        "            textcoords=\"offset points\",\n",
        "            ha=\"center\", va=\"bottom\",\n",
        "            fontsize=12\n",
        "        )\n",
        "\n",
        "    # draw the axes\n",
        "    ax.axhline(0, color=\"gray\")\n",
        "    ax.axvline(0, color=\"gray\")\n",
        "\n",
        "    # remove the ticks\n",
        "    ax.set_xticks([])\n",
        "    ax.set_yticks([])\n",
        "\n",
        "    # set the aspect ratio to 1\n",
        "    ax.set_aspect(\"equal\")\n",
        "\n",
        "    # zoom out with the limits\n",
        "    xlim, ylim = np.array(ax.get_xlim()), np.array(ax.get_ylim())\n",
        "    ax.set_xlim(xlim / zoom)\n",
        "    ax.set_ylim(ylim / zoom)\n",
        "\n",
        "    # remove borders\n",
        "    for spine in ax.spines.values():\n",
        "        spine.set_visible(False)\n",
        "\n",
        "plot_polygon(plt.gca(), X)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GJbu-WqO83Gq"
      },
      "source": [
        "# Identity transformation"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "USE_LATEX = False\n",
        "\n",
        "def plot_polygons(*polygons, plotsize=5, **kwargs):\n",
        "\n",
        "    num_plots = len(polygons)\n",
        "    nc = int(np.ceil(np.sqrt(num_plots)))\n",
        "    nr = num_plots // nc + int(num_plots % nc > 0)\n",
        "\n",
        "    with plt.rc_context({\"text.usetex\": USE_LATEX and not is_in_colab()}):\n",
        "\n",
        "        fig, axes = plt.subplots(nr, nc, figsize=(nc * plotsize, nr * plotsize), layout=\"constrained\")\n",
        "        axes_grid = np.array(axes).reshape(nr, nc)\n",
        "        axes = axes_grid.flatten()\n",
        "\n",
        "        for dic, ax in zip(polygons, axes):\n",
        "            title = dic[\"title\"]\n",
        "            square = dic[\"square\"]\n",
        "            if title is not None:\n",
        "                print(title)\n",
        "                print(square)\n",
        "                print()\n",
        "            plot_polygon(ax, square, **kwargs)\n",
        "            ax.set_title(dic.get(\"title_ax\", title))\n",
        "\n",
        "        xlim, ylim = axes[0].get_xlim(), axes[0].get_ylim()\n",
        "        for ax in axes[1:]:\n",
        "            xlim = np.array([min(xlim[0], ax.get_xlim()[0]), max(xlim[1], ax.get_xlim()[1])])\n",
        "            ylim = np.array([min(ylim[0], ax.get_ylim()[0]), max(ylim[1], ax.get_ylim()[1])])\n",
        "\n",
        "        for ax in axes:\n",
        "            ax.set_xlim(xlim)\n",
        "            ax.set_ylim(ylim)\n",
        "\n",
        "        for ax in axes[-(len(axes) - num_plots):]:\n",
        "            ax.axis(\"off\")\n",
        "\n",
        "        # correct the figure size to avoid empty spaces\n",
        "        width, height = fig.get_size_inches()\n",
        "        ax_range_sizes = np.array([\n",
        "            [\n",
        "                [np.diff(ax.get_xlim())[0], np.diff(ax.get_ylim())[0]]\n",
        "                for ax in axrow\n",
        "            ]\n",
        "            for axrow in axes_grid\n",
        "        ])\n",
        "        data_width = ax_range_sizes[:, :, 0].max(axis=0, keepdims=True).sum(axis=1)[0]\n",
        "        data_height = ax_range_sizes[:, :, 1].max(axis=1, keepdims=True).sum(axis=0)[0]\n",
        "        factor = width / data_width if data_width >= data_height else height / data_height\n",
        "        resize_width = data_width * factor\n",
        "        resize_height = data_height * factor\n",
        "        fig.set_size_inches(resize_width, resize_height)\n",
        "\n",
        "        plt.close()\n",
        "    return fig"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "IX\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1000x500 with 2 Axes>"
            ]
          },
          "execution_count": 9,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A = np.array([\n",
        "[1, 0],\n",
        "[0, 1]\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"IX\", title_ax=\"$I X$\"),\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yK2eyVqS83Gq"
      },
      "source": [
        "# Exercises 1\n",
        "\n",
        "$X = \\begin{bmatrix} 1 & 1 & -1 & -1 \\\\ 1 & -1 & -1 & 1 \\end{bmatrix}$\n",
        "$A_1 = \\begin{bmatrix} -1 & 0 \\\\ 0 & 1 \\end{bmatrix}$\n",
        "$A_2 = \\begin{bmatrix} 2 & 0 \\\\ 0 & 0.5 \\end{bmatrix}$\n",
        "$A_3 = \\begin{bmatrix} 1 & 0 \\\\ 1 & 1 \\end{bmatrix}$\n",
        "$A_4 = \\begin{bmatrix} 0.87 & -0.5 \\\\ 0.5 & 0.87 \\end{bmatrix}$\n",
        "\n",
        "\n",
        "Compute and draw $Y = A \\cdot X$ for each $A$."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CZIednjI83Gq"
      },
      "source": [
        "# Answers 1"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fQGtbHxn83Gq"
      },
      "source": [
        "## $A_1$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 939
        },
        "id": "5bEIuo-VW0jl",
        "outputId": "a08b6fba-a982-4003-ce13-b2c1035711d9"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "A1X\n",
            "[[-1. -1.  1.  1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1000x500 with 2 Axes>"
            ]
          },
          "execution_count": 10,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A1 = A = np.array([\n",
        "[-1, 0],\n",
        "[0, 1],\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"A1X\", title_ax=\"$A_1 X$\"),\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "AX\n",
            "[[ 1.  1. -1. -1.]\n",
            " [-1.  1.  1. -1.]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1000x500 with 2 Axes>"
            ]
          },
          "execution_count": 11,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A = np.array([\n",
        "[1, 0],\n",
        "[0, -1],\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"AX\", title_ax=\"$A X$\"),\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AXGHWNOR83Gr"
      },
      "source": [
        "## $A_2$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "A2X\n",
            "[[ 2.   2.  -2.  -2. ]\n",
            " [ 0.5 -0.5 -0.5  0.5]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 1600x400 with 2 Axes>"
            ]
          },
          "execution_count": 12,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A2 = A = np.array([\n",
        "[2, 0],\n",
        "[0, 0.5],\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"A2X\", title_ax=\"$A_2 X$\"),\n",
        "    plotsize=8,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "AX\n",
            "[[ 2.  2. -2. -2.]\n",
            " [ 0.  0.  0.  0.]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 1600x400 with 2 Axes>"
            ]
          },
          "execution_count": 13,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A = np.array([\n",
        "[2, 0],\n",
        "[0, 0],\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"AX\", title_ax=\"$A X$\"),\n",
        "    plotsize=8,\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2uCNKs_y83Gr"
      },
      "source": [
        "## $A_3$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "A3X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 2.  0. -2.  0.]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 600x600 with 2 Axes>"
            ]
          },
          "execution_count": 14,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A3 = A = np.array([\n",
        "[1, 0],\n",
        "[1, 1],\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"A3X\", title_ax=\"$A_3 X$\"),\n",
        "    plotsize=3,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "AX\n",
            "[[ 2.  0. -2.  0.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 1400x350 with 2 Axes>"
            ]
          },
          "execution_count": 15,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A = np.array([\n",
        "[1, 1],\n",
        "[0, 1],\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"AX\", title_ax=\"$A X$\"),\n",
        "    plotsize=7,\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lN4bV1Rm83Gr"
      },
      "source": [
        "## $A_4$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "A4X\n",
            "[[ 0.4  1.4 -0.4 -1.4]\n",
            " [ 1.4 -0.4 -1.4  0.4]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1000x500 with 2 Axes>"
            ]
          },
          "execution_count": 16,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "A4 = A = np.array([\n",
        "[.87, -.5],\n",
        "[.5, .87],\n",
        "])\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A @ X, title=\"A4X\", title_ax=\"$A_4 X$\"),\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "22 deg\n",
            "[[ 0.6  1.3 -0.6 -1.3]\n",
            " [ 1.3 -0.6 -1.3  0.6]]\n",
            "\n",
            "45 deg\n",
            "[[ 0.   1.4 -0.  -1.4]\n",
            " [ 1.4 -0.  -1.4  0. ]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1000x1000 with 4 Axes>"
            ]
          },
          "execution_count": 17,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# AUX\n",
        "def rotmat(ang: float):\n",
        "    \"\"\" angle in degrees \"\"\"\n",
        "    assert -360 <= ang <= 360, f\"{ang=}\"\n",
        "    ang = np.radians(ang)\n",
        "    return np.array([\n",
        "        [np.cos(ang), -np.sin(ang)],\n",
        "        [np.sin(ang), np.cos(ang)],\n",
        "    ])\n",
        "\n",
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = rotmat(rot := 22) @ X, title=f\"{rot} deg\", title_ax=f\"{rot} deg\"),\n",
        "    dict(square = rotmat(rot := 45) @ X, title=f\"{rot} deg\", title_ax=f\"{rot} deg\"),\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ccOMhX2X83Gr"
      },
      "source": [
        "# Exercises 2\n",
        "\n",
        "$X = \\begin{bmatrix} 1 & 1 & -1 & -1 \\\\ 1 & -1 & -1 & 1 \\end{bmatrix}$\n",
        "$A_2 = \\begin{bmatrix} 2 & 0 \\\\ 0 & 0.5 \\end{bmatrix}$\n",
        "$A_4 = \\begin{bmatrix} 0.87 & -0.5 \\\\ 0.5 & 0.87 \\end{bmatrix}$\n",
        "\n",
        "Combine the two transformations in different orders:\n",
        "\n",
        "**2.1**) $Y_{42} = A_4 (A_2 X) = (A_4 A_2) X$\n",
        "\n",
        "**2.2**) $Y_{24} = A_2 (A_4 X) = (A_2 A_4) X$"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XYO0H1yt83Gr"
      },
      "source": [
        "# Answers 2"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BN8zCpc-83Gr"
      },
      "source": [
        "## $Y_{42} = A_4 A_2 X$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "A2X\n",
            "[[ 2.   2.  -2.  -2. ]\n",
            " [ 0.5 -0.5 -0.5  0.5]]\n",
            "\n",
            "Y42 = A4 A2 X\n",
            "[[ 1.5  2.  -1.5 -2. ]\n",
            " [ 1.4  0.6 -1.4 -0.6]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1000x717.5 with 4 Axes>"
            ]
          },
          "execution_count": 18,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A2 @ X, title=\"A2X\", title_ax=\"$A_2 X$\"),\n",
        "    dict(square = A4 @ A2 @ X, title=\"Y42 = A4 A2 X\", title_ax=\"$ Y_{42} = A_4 A_2 X$\"),\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "x42WXHuU83Gr"
      },
      "source": [
        "## $Y_{24} = A_2 A_4 X$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "A4X\n",
            "[[ 0.4  1.4 -0.4 -1.4]\n",
            " [ 1.4 -0.4 -1.4  0.4]]\n",
            "\n",
            "Y24 = A2 A4 X\n",
            "[[ 0.7  2.7 -0.7 -2.7]\n",
            " [ 0.7 -0.2 -0.7  0.2]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 1400x700 with 4 Axes>"
            ]
          },
          "execution_count": 19,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "plot_polygons(\n",
        "    dict(square = X, title=\"X\", title_ax=\"$X$\"),\n",
        "    dict(square = A4 @ X, title=\"A4X\", title_ax=\"$A_4 X$\"),\n",
        "    dict(square = A2 @ A4 @ X, title=\"Y24 = A2 A4 X\", title_ax=\"$A_2 A_4 X$\"),\n",
        "    plotsize=7,\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Dc9tzMdN83Gs"
      },
      "source": [
        "# Exercises 3\n",
        "\n",
        "<!-- A5 = A4^-1 -->\n",
        "<!-- A6 = A2^-1 -->\n",
        "\n",
        "$X = \\begin{bmatrix} 1 & 1 & -1 & -1 \\\\ 1 & -1 & -1 & 1 \\end{bmatrix}$\n",
        "$Y_{42} = \\begin{bmatrix} 1.5 & 2 & -1.5 & -2 \\\\ 1.4 & 0.6 & -1.4 & -0.6 \\end{bmatrix}$\n",
        "$A_5 = \\begin{bmatrix} 0.864 & 0.497 \\\\ -0.497 & 0.864 \\end{bmatrix}$\n",
        "$A_6 = \\begin{bmatrix} 0.5 & 0 \\\\ 0 & 2 \\end{bmatrix}$\n",
        "\n",
        "Apply $A5$ then $A6$ to $Y_{42} = A_4 A_2 X$.\n",
        "   1. $A_5 Y_{42}$\n",
        "   2. $A_6 A_5 Y_{42}$\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0MId-Bl983Gs"
      },
      "source": [
        "# Answers 3"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n",
            "A2X\n",
            "[[ 2.   2.  -2.  -2. ]\n",
            " [ 0.5 -0.5 -0.5  0.5]]\n",
            "\n",
            "A4 A2 X\n",
            "[[ 1.5  2.  -1.5 -2. ]\n",
            " [ 1.4  0.6 -1.4 -0.6]]\n",
            "\n",
            "A5 A4 A2 X\n",
            "[[ 2.   2.  -2.  -2. ]\n",
            " [ 0.5 -0.5 -0.5  0.5]]\n",
            "\n",
            "A6 A5 A4 A2 X\n",
            "[[ 1.  1. -1. -1.]\n",
            " [ 1. -1. -1.  1.]]\n",
            "\n"
          ]
        },
        {
          "data": {
            "image/png": 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qVapAIpFg8ODBBYpnMpkwa9Ys+Pv7Q6VSoWHDhtiwYUMhs7duTmFhYVi0aBHu3r1bpHwp/8zdnxs3bsRbb72FWrVqQSKRoH379gW+9g8//IDAwECoVCrUqlULCxYsKFKu1sopLCwMW7ZswdmzZ4uULxERERERERERWQeL43Zq5cqVMBgMCAkJydfx4eHh+Ouvv1CvXj3I5fICx5s4cSLCwsLQqVMnLFiwAFWqVMHAgQPx888/F/ha1s6pZ8+eKFeuHBYvXlzoXKlgzN2fS5YswY4dO1C5cmW4u7sX+LrLli3D8OHDUa9ePSxYsACtWrXChx9+iPDw8ELnaq2cmjRpgmbNmmHu3LmFzpWIiIiIiIiIiKxHIgiCYOskKLtGjRqhYcOGWLNmTb6Ov379euYKbWdnZ/Tt2xerV6/O17m3b9+Gv78/3n33XSxcuBAAIAgCXnzxRcTGxiIuLg4ymazAP4M1c/rggw+wc+dOxMbGQiKRFDhXa9LpdJgxYwYAYMKECVAoFDbOqODM3Z83b96Er68vpFIp6tevDy8vL+zfvz9f19RoNKhcuTJatmyJyMjIzPG33noL27dvx82bNwtV3LZmTnPnzsWUKVNw9+5dODs7FzhXIiIqWUrDazoRERHxNZ2oLOPKcTsUGxuLc+fOoWPHjvk+p2rVqoUuCu/YsQN6vR6jRo3KHJNIJHj//fdx69YtHD16tFDXtWZOnTp1wvXr13HmzJlCxaP8y+3+rFy5cr7aAOVk3759ePDggejfHABGjx6NtLQ07Nq1q1DXtWZOnTp1QlpaGvbs2VOoeEREREREREREZD0sjtuhI0eOAACaNm1qlXinT5+Gk5MTAgMDRePNmzfPfN7aCppTUFAQAODw4cPWSbAMs9T9+fTftFmzZqLxoKAgSKVSm92HBcmpbt26UKvVvA+JiIiIiIiIiEoAFsftUExMDADA39/fKvHi4+NRoUKFbKu8fXx8AAB37tyxSh5FycnX1xcKhQIXL160Wo5llaXuz/j4eMhkMpQvX140rlAo4OnpabP7sCA5yeVyVK5cmfchEREREREREVEJwOK4HXrw4AHkcrnVehZrNBoolcps4yqVKvN5aytMTu7u7rh//77FcyvrLHV/ajQas33dVCqVze7DgubE+5CIiIiIiIiIqGSQ2zoByr/ExEQYjcbMx87OzsVSoFSr1cjIyMg2rtVqM5+3tsLkJAiC3W/GSeap1WrodLocn9NqtTa7DwuaE+9DIiIiIiIiIvui0+kQGxuLtLQ06HQ6KBQKODk5wd/fnxuwlnEsjtshT09PGAwGpKamwsXFJXM8ODgY169fz3w8ZcoUTJ06tcjxfHx8sG/fvmxFvfj4eABApUqVihzDGjklJyfDy8vLajmWVebuz6Ly8fGB0WhEQkKCqI2JTqfDgwcPbHYfFjSnhw8folatWtZMk4iIiIiIiIiek5iYiIiICERFRSE6Ohrnz5/PcfGbQqFAgwYNEBQUhObNm6Nnz56sLZUxbKtihwICAgAAsbGxovF169Zhz549mX8GDRpULPEaN26M9PR0XLp0STR+/PjxzOetraA53b59GzqdLtsGnlT8zN2fRfX03/TkyZOi8ZMnT8JkMtnsPixITgaDATdv3uR9SERERERERGRlgiDg6NGjePvtt+Hn54fhw4dj+fLliI6ONvutcJ1Oh+joaCxfvhzDhw+Hr68vBg0ahGPHjkEQBCv/BGQLLI7boVatWgHIXpBr06YNOnbsmPmnevXqBb52SkoKYmJikJKSkjnWs2dPODg4YPHixZljgiBg6dKl8PX1RevWrQv5k1gvp+joaACweK5k/v4siPT0dMTExIh6c3fo0AEeHh5YsmSJ6NglS5bA0dERXbt2LXQ8a+V08eJFaLVa3odEREREREREVnTs2DEEBwejdevWWLt2rdlieF50Oh3WrFmDVq1aITg4OHORJpVebKtih6pXr4769etj7969GDp0aL7O2blzJ86ePQsA0Ov1OHfuHL7++msAQI8ePdCwYUMAwLZt2zBkyBCsWrUKgwcPBgD4+flh3LhxmD17NvR6PYKDg7F9+3YcPHgQ69atg0wmy4yzevXqbOfbOicA2LNnD6pUqYImTZrk6++LCi+3+/PAgQM4cOAAgCdfYUpLS8v8N2/Xrh3atWsHAIiKisJLL70kag2kVqvx1VdfYfTo0ejXrx86d+6MgwcPYu3atfjmm2/g4eGRGWf//v3ZzjfHWjkBT+5DR0dHdOrUqYB/q0RERERERERUUFqtFpMnT8bcuXNhMpnyPN5BCijlQIYB0OdxeHR0NFq3bo3x48dj2rRpUKlUxZQ12RMWx+3U0KFDMXnyZGg0mnxtRLhlyxb8+OOPmY9Pnz6N06dPA3hSaH5aiDZn5syZcHd3x7Jly7B69WrUqlULa9euxcCBA0XHPX78GMCTXsz2kpPJZMKWLVswbNgwboRoJebuz7/++gvTpk0THTtp0iQAT3rkPy1EmzNq1Cg4ODhg7ty5iIiIQOXKlfHdd99h7NixouMKch9aKycA2Lx5M3r37l2svdiJiIiIiIiIKLszZ84gJCQEMTExOT6vkAHdasvR0leGoEoyNPWRwU31rG6UrBVwKt6I6DtGHLttROR/BuiM4muYTCbMmjULERER2LBhg01avpJlSQQ20LFLKSkpqF69OmbNmoVhw4bZOp1M/fv3R1xcHKKiomydSqbt27dj4MCBuHr1ar6Kpbam0+kwY8YMAMCECRNK5K7Itr4/Q0NDsWHDBly5cgVKpdLq8XNy5swZNG3aFKdOneKLJRFRGVEaXtOJiIiIr+kl0d9//43u3bsjNTU123PV3CR4v5kCQ5s4wMsx/x2lE9NMWHVGjyUndYhLzl4udXFxQWRkZJ6L7KhkYc9xO+Xq6orQ0FDMnj07X18LsQZBELB///7MlhT2Ijw8HGPGjCkRhfHSwtb35759+zBp0iS7KYwDT77p0LdvXxbGiYiIiIiIiCzowIEDePXVV7MVxhUyYHoHJS5/4IzQNsoCFcYBwNtJitA2T86f3kEJhbijL1JTU9G5c+fM1q1UOnDlOJGV8RNpIiKi0oGv6URERKUDX9NLjjNnzqBdu3bZCuPNKkmxuqca9crLzJxZcP8kGDFkhwYn74gXBbq4uODAgQNcHFdKcOU4ERERERERERER2TWtVouQkJBshfFeAXIcHOJUrIVxAKhfXoaDQ5zQs454y8bU1FSEhIRAq9UWazyyDRbHiYiIiIiIiIiIyK5Nnjw52+abvQLk2NxPDZVcYuasolHJJfilvxq9AsQF8piYGEyZMsUiMcm6WBwnIiIiIiIiIiIiu3Xs2DHMnTtXNNaskhQb+qghl1qmMP6UXCrBhj5qBPmIy6hz5szB8ePHLRqbLI/FcSIiIiIiIiIiIrJLgiBgzJgxMJme9f5WyIDVPS23YjwrlVyC1b3Uok06TSYTRo8eDW7nWLKxOE5ERERERERERER26dixY4iOjhaNTX1RWew9xvNSv7wMU15Uisaio6O5eryEY3GciIiIiIiIiIiI7NLixYtFj6u5SfBpG4VNcglto0A1N/Fq9az5UcnC4jgRERERERERERHZncTERGzatEk09n4zhcX7jJsjl0owMkhcmN+4cSMSExNtkg8VHYvjREREREREREREZHciIiKg0+kyHytlwNAmDjbM6En853uP63Q6RERE2C4hKhIWx4mIiIiIiIiIiMjuREVFiR53rS2Hl6Nty5neTlJ0qy0XjZ04ccJG2VBRsThOREREREREREREdifrRpwtfa27Cac5LbLkkTVPKjlYHCciIiIiIiIiIiK7otPpcP78edFYUCX7KI4H+YjzOHfunKj9C5UcLI4TERERERERERGRXYmNjc1WcG7qYx/F8ax56HQ6xMbG2igbKgoWx4mIiIiIiIiIiMiupKWliR47SAE3lcRG2Yi5qyWQZ6mqpqen2yYZKhIWx4mIiIiIiIiIiMiuZF01rpSbOdBGlFkWsWdkZNgmESoSFseJiIiIiIiIiIjIrigUCtHjDIONEjEjwyh+rFQqbZMIFQmL40RERERERERERGRXnJycRI/1JiBZK9goG7GHGgEGk3jM0dHRNslQkbA4TkRERERERERERHbF398/2+rxU/FGM0dbV9Y8FAoF/P39bZQNFQWL40RERERERERERGRXrqddR7mq5URj0XfsozgenaU43rBhw2yFfCoZ7KyVPREREREREREREZVVD7UPsejMImz+bzOMvkbg8rPnjt22j+L48Sx5BAUF2SgTKioWx4mIiIiIiIiIiMim9CY9NsZsxOKzi5GqSwUAqP3VeLj/YeYxkf8ZcD/dBC9H2zXDSEwzIfI/8e6gwcHBNsqGioptVYiIiIiIiIiIiMhmDt46iD4RfRB+IjyzMA4A5ZqUg0QuyXysMwIrT+ttkWKmlaf10D23cFyhUKBnz562S4iKhMVxIiIiIiIiIiIisrprKdfw/t73MerPUYhNic32vLycHOWCxX3Hl5zUwWASrJWiiMEkYGm0TjT2xhtvwMvLyyb5UNGxOE5ERERERERERERWk5KRgvCocPTZ0QeHbh/K9VjPlz1Fj+OSBcw+rDNztGXNOqxDXLK4MD9q1Cib5ELFgz3HiYiIiIiIiIiIyOIMJgO2/LcFC88sRHJGcr7OUddQQ1VNBW2cNnNs6t8Z6F5HjvrlZRbKNLt/EoyYuj9DNNasWTO0aNHCajlQ8ePKcSIiIsrRrFmzEBAQAJPJZOtU7JZer0flypWxePFiW6dCRDbGOVOsZcuWCA0NtXUaRERkR47FH0O/nf3w9fGv810YBwCJRIJKb1UCnrUeh84IDNmhgdZgnfYqWoOAwds10D/3Mi+VSrFw4UJIJBLzJ5LdY3GciIiIsnn06BHCw8MRFhYGqTT3tws3b97EtGnT0Lx5c7i7u8PLywvt27fH3r178x3PZDJh1qxZ8Pf3h0qlQsOGDbFhw4ai/hj44YcfEBgYCJVKhVq1amHBggX5Om///v2QSCQ5/jl27FjmcQ4ODvj444/xzTffQKvV5nJFIirNcpozHzx4gNmzZ6Ndu3bw9vaGm5sbWrZsiY0bNxbo2oWdx3ITERGBpk2bQqVSoUqVKpgyZQoMBkOe58XFxZmdG3/++WfRsWFhYVi0aBHu3r1b5HyJiKhku/HoBj7860OM+GMEriRfKdQ1HGs6wutVcV/vk3dMCNmisXj/cYNJwIBfNIiOF38APn78eK4aLwVYHCciIqJsVq5cCYPBgJCQkDyP3bFjB8LDw1GzZk18/fXXmDRpElJTU9GpUyesWrUqX/EmTpyIsLAwdOrUCQsWLECVKlUwcODAbMWWgli2bBmGDx+OevXqYcGCBWjVqhU+/PBDhIeH5/saH374IdasWSP6U7NmTdExQ4YMwf3797F+/fpC50pEJVtOc+bRo0cxceJEeHh44IsvvsA333wDR0dHDBgwAFOmTMnXdYtjHstq9+7d6NWrF9zc3LBgwQL06tULX3/9NT744IN8XyMkJCTb3NiqVSvRMT179kS5cuX4zRoiojLsse4xvj35LXru6Il9N/cV+XrlXy8PpY9SNLY9xoB+my23glxrENB3kwY7/hV/iBwYGIhp06ZZJCZZl0QQBNts70olik6nQ2xsLNLS0qDT6aBQKODk5AR/f38oFApbp1ei6HQ6zJgxAwAwYcIE/v0VEu9JIstq1KgRGjZsiDVr1uR57IULF1ChQgXRDu0ZGRlo3LgxHj9+jJs3b+Z6/u3bt+Hv7493330XCxcuBAAIgoAXX3wRsbGxiIuLg0xWsF6CGo0GlStXRsuWLREZGZk5/tZbb2H79u24efMm3N3dzZ6/f/9+vPTSS9i8eTP69u2bZ7zu3bsjJSUFBw4cKFCeVLLxNZ2eymnOjI2NhVQqRdWqVTPHBEFAx44dcfjwYTx48ABOTk5mr1nUecycevXqwcHBASdPnoRc/mQLqi+++ALTp0/HxYsXERAQYPbcuLg4+Pv7Y/bs2Rg/fnyesT744APs3LkTsbGx/Mo5Edk1vqYXL6PJiB1Xd2D+qflI0iYV67U11zWInRELk1a8irtZJSlW91SjXjH2IP8nwYjB27OvGC/nqMDfh4+jcePGxRaLbIcrxylHiYmJ+OGHH/Dee++hWbNmcHFxQUBAAIKCgtCqVSsEBQUhICAALi4uaNasGd577z388MMPuH//vq1Tp1KK9ySR9cTGxuLcuXPo2LFjvo6vV6+eqDAOAEqlEl26dMGtW7eQmpqa6/k7duyAXq8X7fIukUjw/vvv49atWzh69GiBf4Z9+/bhwYMH2XaOHz16NNLS0rBr1658Xys1NTXPdgOdOnXCoUOHkJRUvG/+icj+mZsz/f39RYVx4Mnc1qtXL2RkZODatWu5Xrc457GnLl68iIsXL+Ldd9/NLIwDwKhRoyAIAn755Zd8X+vpAoXcdOrUCdevX8eZM2cKnCsREZVM0feiEbIrBFOOTCn2wjgAqKuqUfWjqpA4iD90PXnHhKbL0zDjYEaR26wYTAKmH8xA0PK0bIVxlRzY2V+BxpWUZs6mkobFccokCAKOHj2Kt99+G35+fhg+fDiWL1+O6Ohos298dTodoqOjsXz5cgwfPhy+vr4YNGgQjh07Bn4pgYqK9ySRbRw5cgQA0LRp0yJd5+7du3B0dISjo2Oux50+fRpOTk4IDAwUjTdv3jzz+YJ6ek6zZs1E40FBQZBKpfm+5pAhQ1CuXDmoVCq89NJLOHnyZI7HBQUFQRCEzL87Iio7CjpnPu3BnfVDxayKax7LzzUrVaoEPz+/fF9z2rRpcHZ2hkqlQnBwMP74448cjwsKCgIAHD58uMC5EhFRyXL78W18sv8TDP5tMC4lXbJoLKc6TmgztQ0cncW/Z+iMwOd/ZaDWgscIP5SBxLSCbZKdmGZC+KEn50/8KwM6o/h5FwXw+1uOaFdVCvw2AWCNoVRgcZwAAMeOHUNwcDBat26NtWvX5rkKxBydTpfZczA4OBjHjx8v5kyprOA9SWQ7MTExAJ6seiysK1euYOvWrejTp0+eLVHi4+NRoUKFbF+59/HxAQDcuXOnwPHj4+Mhk8lQvnx50bhCoYCnp2ee11QoFOjTpw/mz5+PHTt24Ouvv8b58+fRtm3bHItH1atXB/BkVSYRlS0FmTOTkpKwYsUKtG3bNnOOM6eo85i5awLIMbaPj0+e15RKpXjllVcwe/ZsRERE4LvvvkNCQgJee+21HFey+/r6QqFQcG4kIirF0vXp+L9T/4ce23rgj+s5f1hanFyVrvi8xefY99k+HD54OMd2YHHJAj77MwN+3z1Gn03pmHU4A39eM+ChRlzMfqgR8Oc1A2YdzkCfTenw++4xPvszA3HJ2YveAV5SHBjihHZV//fNq2v7gP9+s8jPSNYlz/sQKs20Wi0mT56MuXPnwmTK+xM1iUwCiYMEgl6AYMz9E7Lo6Gi0bt0a48ePx7Rp06BSqYorbSrFCnpPOkgBpRzIMAD6PA7nPUmUPw8ePIBcLoezs3Ohzk9PT0e/fv2gVqsxc+bMPI/XaDRQKrN/LfHpf6MajabAOWg0GrO9IlUqVZ7XbN26NVq3bp35uEePHujbty8aNmyICRMm4LffxG+En/b9ZSsnorInv3OmyWTCm2++ieTkZCxYsCDP6xZ1HjN3TQBm59xHjx7len6VKlXw+++/i8befvtt1K1bF5988gm6du2a7Rx3d3fOjUREpZBJMGHXtV2YFz0PCZoEi8eTSWQYEDAA7zd6H65KVwBA48aNcfr0aUyZMgVz5szJVkPQGYGtlwzYeulZi0S5FFDKgAwjYMjHwnKpBBjfSoFpLymhkmfZP+P3iUCNlwE5e9SXZCyOl2FnzpxBSEhI5mqXrCRyCVwauUBdQw11NTXUVdWQOT1b/WdMM0JzXQNNnAaaqxqknk2FkGV3YJPJhFmzZiEiIgIbNmzgZgWUq7zuSYUM6FZbjpa+MgRVkqGpjwxuqmcvTslaAafijYi+Y8Sx20ZE/mfI9jUo3pNEhZeYmAij8dl/VM7OztmKQUajEQMGDMDFixexe/duVKpUKc/rqtVqZGRkZBvXarWZzxeUWq02+40TrVZbqGvWrFkTPXv2xNatW2E0GkUr4p+2beKGc0RkzgcffIDffvsNP/30Exo1apTn8ZaYx56eY27OLcw1PTw8MGTIEMycORO3bt2Cn5+f6HlBEDg3EhGVMmcTzyI8Khzn75+3Srw2ldogNDgU1d2qZ3tOpVIhPDwcr7/+OsaMGYPo6Ohcr2Uw5a8oDjzZ5HPhayq08DNTPk26CkQtA1p/kL8Lkl1icbyM+vvvv9G9e/ccN0lz8HKARwcPuLd1h9zF/C0ic5LBua4znOs+KYwYHhnw8NBDJP2VBP19vejYmJgYtGvXDpGRkWjXrl3x/jBUKuR2T1Zzk+D9ZgoMbeIAL0fz3aDcVBJ08Jejg/+T+zYxzYRVZ/RYclKX7WtRvCeJzPP09ITBYEBqaipcXFwyx4ODg3H9+vXMx1OmTMHUqVNF544YMQKRkZFYt24dOnTokK94Pj4+2LdvX7YCytOv/+enwJ7TNY1GIxISEkQtCXQ6HR48eFCoawJA5cqVodPpkJaWhnLlymWOP3z4EEDePYSJqPQxN2c+b9q0aVi8eDFmzpyJt99+O1/XtcQ89rSdSnx8PCpXrix6Lj4+PnOvh4J6eq2kpKRsxfHk5GTOjUREpcTdtLuYd2oedl0r+KbQhVGtXDV8Gvwp2vq2zfOD1pYtW+LEiRM4fvw4Fi9ejI0bNxaqPatSBrxR3wGjmjmgua8s7w94/54FNBwAOHsXOBbZB/YcL4MOHDiAV199NVsRUiKXoELfCqgdXhveXbxzLYznRF5ODu8u3qgdXhsV+laAJMvXTVJTU9G5c2ccOHCgyD8DlS7m7kmFDJjeQYnLHzgjtI0y18J4TrydpAht8+T86R2UUGRpe8x7kihnT/v2xcbGisbXrVuHPXv2ZP4ZNGiQ6PlPP/0Uq1atwnfffYeQkJB8x2vcuDHS09Nx6ZJ4456newQU5hseT8/JuoHmyZMnYTKZCv2tkWvXrkGlUmVbMf/07yrrpqJEVPqZmzOfWrRoEaZOnYpx48YhLCws39e1xDxm7pp37tzBrVu3ijQ3AoC3t7gwcPv2beh0Os6NREQlnMagwZKzS9Bjew+rFMZdHFzwabNPsbXHVrTza5fvbyBJJBK0bNkSP/30E27duoUVK1bgvffeQ7Nmzcy2KlMoFGgWWBXvBTlgRXcVbn3sjB97qdHCT56/uBmPgH1fF+THIzvD4ngZc+bMGXTr1i3zq+pPqf3VqDGtBry7eUMiK9rXHiUyCby7eaPG1BpQ+4u/mqnVatGtWzecOXOmSDGo9DB3TzarJMWpd50woa0ScmnR7km5VIIJbZWIftcJzSqJpz3ek0TZtWrVCkD24kmbNm3QsWPHzD9PN6EEgNmzZ2POnDn4/PPPMXbsWLPXTklJQUxMDFJSUjLHevbsCQcHByxevDhzTBAELF26FL6+vqLe3/nVoUMHeHh4YMmSJaLxJUuWwNHRUdQX9/79+4iJiUF6enrmWGJiYrZrnj17FhEREXjllVcglYrnkujoaEgkksy/OyIqO8zNmQCwceNGfPjhh3jzzTfx7bffmr1Geno6YmJiRL25CzKP5Ve9evUQEBCA5cuXi9pkLVmyBBKJBH379s0cy2m+zmluvH37NlauXImGDRtm2+jz6VfbCzOPExGR7QmCgN2xu9Fjew8sPrMYGkPB97soCKlEiv61+yOydyQG1RsEB5lDoa/l7e2NYcOGYenSpThx4gRSU1MRExODU6dO4ejRozh16hRiYmKQmpqKE+evYOmQJhjWVFHgRXkAgOgfgfhzhc6VbIvF8TJEq9UiJCQk2+pcl6Yu8J/gD5Vv8W5OqPJTwX+CP1yaiL9empqaipCQkGzFUCp7zN2TvQLkODjECfXKy8ycWTj1y8twcIgTetYRfyuC9ySRWPXq1VG/fn3s3bs3X8dv27YNoaGhqFWrFgIDA7F27VrRn3v37omODQwMxLZt2zLH/Pz8MG7cOCxatAjvvfceVqxYge7du+PgwYOYNWuWqLf36tWrIZFIsHr16lxzUqvV+OqrrxAZGYl+/fphxYoVeOedd7B27VpMnDgRHh4emccuXLgQgYGBiIqKyhx744030LVrV3zzzTf4/vvv8dFHH6F169ZwdHTMcZPRPXv2oE2bNvD09MzX3xkRlR7m5syoqCgMGjQInp6eePnll7Fu3TrR3Ph0tfXTYwMDA7Fw4cLMsYLMY/v374dEIsnW6ions2fPxrlz5/DKK6/g+++/x9ixYzF9+nQMHz5ctMI7p/k6NDQU7dq1w7Rp0/D9999j4sSJaNSoEdLS0jB//vxssfbs2YMqVaqgSZMm+fq7JCIi+3HhwQW889s7CD0Qirtpdy0er0XFFtjUbRMmtZoED5VH3icUkEKhQJ06ddCkSRO0bNkSTZo0QZ06dZ6sKJfJgc7Ti3B1AfhtAiAIeR9Kdoc9x8uQyZMnZ9vo0KWpC6qMrlLk1eLmSBVSVBlTBTcW3UDqqWcF0JiYGEyZMgXh4eEWiUslQ073ZK8AOTb3Uxd5tbg5KrkEv/RXo99mDbbHPNuxmvckkdjQoUMxefJkaDSaPDdoO3v2LADg8uXLOfbS3bdvHypUqJDrNWbOnAl3d3csW7YMq1evRq1atbB27VoMHDhQdNzjx48BINvqxJyMGjUKDg4OmDt3LiIiIlC5cmV89913ua5sf6pXr15Yt24dvv32Wzx69Aje3t7o3bs3pkyZgpo1a4qOTUlJwR9//CFa+U5EZUtOc+bFixeh0+mQmJiIoUOHZjtn1apVom/g5CS/81hB5sZu3bph69atmDZtGj744AN4e3vj888/x+TJk/M895VXXsHSpUuxaNEiPHz4EG5ubmjXrh2++OILNG3aVHSsyWTCli1bMGzYMG7ISURUgtzX3Mf8U/Ox48oOCLB8sdfP2Q/jg8ejQ+UOtn29qPkyUPtV4L/fCnf+9UPApQigbs/izYssTiII/FijLDh27BjatGkDk+nZlrxqfzX8J/hDqrD8FwhMOhOuTb8GbdyzlblSqRRHjhxBixYtLB7fnuh0OsyYMQMAMGHCBLN9r0q7nO7JZpWkODjECSq55V8QtQYBL6xMQ3T8s/hl9Z4kyklKSgqqV6+OWbNmYdiwYbZOJ1P//v0RFxcnWuVta/PmzcOsWbNw9erVPD9IoNKFr+n0lK3nzNDQUGzYsAFXrlyBUqm0evycbN++HQMHDsTVq1fzVbQnIrIlvqYDGcYMrLm4Bt+f+x7phvS8TygiR7kj3mv0Ht4KfAsKmZ38fd+/AixuCZj0hTvfrQow+gTgULydGciy2FalDBAEAWPGjBEVISVyCXyH+1qlMA48WUHuN9xPtEmnyWTC6NGjwc9nyp6c7kmFDFjdU22VwjjwZAX56l5q0SadvCeJnnF1dUVoaChmz54t+m/VlgRBwP79+/H11/az4Y1er8e3336LL774goVxojLM1nPmvn37MGnSJLspjANAeHg4xowZw8I4EZGdEwQBe6/vRc/tPTH/1HyLF8YlkOD1mq9jV+9dGFp/qP0UxgHAqybQ4r3Cn598Azi2qPjyIavgyvEy4OjRo9k2wanQtwK8u3mbOcNyEnYmIGFLgmjs6NGjaNmypdVzsRV+Ip3zPTm9gxIT2lr/F7rpBzMw8a8M0VhZuyeJiKhw+JpORERUOpTV1/R/k/5F+IlwnLh7wirxmpZvitDmoajnWc8q8QpFmwL8X1Mg/X7ex+bEwQn48BTgUrF48yKL4crxMiBrD1QHLwd4veZlk1y8u3jDwUu82zB7tJY9Wf/Nq7lJ8Gkb27z5CG2jQDU38Wp13pNERERERERUWiVpkzDt6DT0j+xvlcK4j5MPZr84G6tfXW3fhXEAULkCHb4o/Pn6NODPL4svH7I4bshZyiUmJmLTpk2iMY8OHhbbgDMvEpkEHi954N7me5ljazesxYXWF+BQziGXM0sRAcio8mSl8u7Nu4Eytj+R/pEep38+LRp7v5nCYhtw5kUulWBkkAKf/fls9fjGjRsxd+5ceHtb/9sVRERERERERJagN+qxPmY9lp1dhlR9qsXjqeVqDK0/FIPrDYZKXoL6cDcdBJz4Abh3vnDnn1kHBA8DfIOKNy+yCBbHS7mIiAjodLrMxxK5BO5t3W2YEeDe1h0J2xIgGJ509BEMAu5G3YXHix42zcuq/vedDYPBYNs8bCApKinz3x4AlDJgaBPbfjAytIkDJu/PgM745LFOp0NERIRdbUJIREREREREVBiCIODArQOYc3IO4h7FWSVmt+rdMK7pOFRwqmCVeMVKKgNenQH82K3w1/htAjD0d0BSxlZElkBsq1LKRUVFiR67NHKB3MW2n4nIy8nh0shFNKaJ1dgoG7K2rP/WXWvL4eVo26nI20mKbrXF/12cOGGdnmtERERERERElnI1+SpG7h2JMX+NsUphvKFXQ6ztshYz2s4omYXxp/zbAoHdC3/+zePAP1uKLx+yGBbHS7no6GjRY3UNtY0yEcuah/a61kaZkLVp4sTF8Za+MhtlItYiSx5Z/9shIiIiIiIiKilSMlIw4/gM9InogyN3jlg8Xnl1eUx/YTrWdFmDRt6NLB7PKjp9BciKsD/ansmALr348iGLYHG8FNPpdDh/XtwfSV3NTorjWfLQ3tTCZDDZKBuyFpPBhIxbGaKxoEr2URwP8hHnce7cOVFLIiIiIiIiIiJ7ZzAZsP7SenTd1hXrY9bDKBgtGk8pU+K9hu9h5+s70b1Gd0glpajU6OEPtBpd+PMf3QaO/F/x5UMWUYruWMoqNjY2W3FPXdVOiuNZ8hAMAvSJehtlQ9aiT9SL+o0DQFMf+yiOZ81Dp9MhNjbWRtkQERERERERFcyR20fQN6IvZkTNQEpGisXjvVrtVUT0isCYJmPg6OBo8Xg20fYTwLkI7WEOzQNSbhVbOlT8uCFnKZaWliZ6LJFJIHOyj0KkzEkGyAA89wGmSceV46WdKUP8b+wgBdxU9rE5hbtaArkUeP4LDOnp/PoTERERERER2be4lDjMOTkHf9/62yrxAj0CEdY8DEEVgqwSz6aULsDLU4Adowp3vkED7J0K9FlRrGlR8WFxvBTLumpc4mAfRcinpHIpTMZnlUhBL+RyNJUGWVeNK+1sBlLKxMXxjIwM8wcTERERERER2dAj3SMsO7sM62PWw2AyWDyep8oTY5uORY8aPSCT2sfiS6toFAKc+B64c7pw55/fDDR/F6jcvHjzomJhZ6UpKk4KhXjTAHsrPmftMW5vxXsqfhK5+N84w/Kv3QWSkaUVm1KptE0iRERERERERGYYTUZsvbIVC08vRJI2yeLxHKQOeLvu2xjRYAScFc4Wj2d3pFLg1ZnAys6Fv8buMGD4n0+uRXaFxfFSzMnJSfRYMAowphntorWKMc0oaqkCAFIFJ4jSTqoU/xvrTUCyVrCL1ioPNQKy7gnr6FhKe6YRERERERFRiXTi7gmER4Xj34f/WiXey1VexidBn6ByucpWiWe3qrQE6vcB/tlSuPPvnALO/Qw0Hli8eVGRsRpZivn7+2dbPa65rrFRNmJZ85DIJXDwdrBRNmQtDt4O2VaPn4q37M7Z+ZU1D4VCAX9/fxtlQ0RERERERPTMzdSb+GjfRxj6+1CrFMZrudfCildWYN5L81gYf6rjNECuLvz5e6cBGY+LLx8qFiyOl2IKhQINGjQQjWni7KQ4niUPVWUVpHLejqWdVC6F0k/cqiT6jn0Ux6OzFMcbNmyY7cMlIiIiIiIiImtK06dhXvQ89NzeE3tv7LV4PHelOya1nIRN3TahhU8Li8crUdwqA20+LPz5j+8Ch74tvnyoWLAaWcoFBYl3DtZctZPieJY8VFVVNsqErE1dTfwp67Hb9lEcP54lj6z/7RARERERERFZi0kwYfuV7ei2rRt++OcH6E16i8aTS+R4u+7biOwdif51+kMuZSfmHLUZC7hUKvz5RxYCD+OKLR0qOt7ppVzz5s2xfPnyzMepZ1NhSDVA7mK7f3rDIwNSz6aKxtxqucHJwcnMGaWMAGToMgAASoUSsH27batyq+WGh/sfZj6O/M+A++kmeDna7rO6xDQTIv8T7w4aHBxso2yIiIiIiIioLDudcBrhUeG48OCCVeK182uH8c3Gw9+VrUXzpHACOn0JbB1euPONGcCeyUD/n4o3Lyo0FsdLuR49ekChUECn0wEABIOAhwcfwruLt81yenjwIQSDkPlYoVAganoUvLy8bJaTNel0OsyYMQMAMGHChDLXuiOxUyL8fvTLvCd1RmDlaT1C2yjzONNyVp7WQ/fcwnGFQoGePXvaLB8iIiIiIiIqe+Ifx+O76O+wO263VeJVd62O0OBQtPFtY5V4pUaDvkDUcuBWVOHOv7gDiDsEVHuhePOiQmFblVLO29sb/fv3F40l/ZUEwSiYOcOyBKOApH1JorE33nijzBTGKed7cslJHQwm29yTBpOApdE60RjvSSIiIiIiIrKWdH06Fp1ZhB7be1ilMO6icMFnzT/DLz1+YWG8MCQS4LWZRbvGb58BJvtoM1vWsTheBowaNUr0WH9fj/u779skl8RfE6G/L+6TlTU/Kv2y/pvHJQuYfVhn5mjLmnVYh7hkcWGe9yQRERERERFZmiAIiLwWiR7be2Dp2aXQGrUWjSeTyDCgzgD8+vqveDPwTThIHSwar1TzDQIahRT+/LvngdNriy8fKjQWx8uAli1bZttcMGF7ArS3LDvpZqW9pUXi9kTRWLNmzdCiBXc/Lmtyuien/p2BfxKs+6npPwlGTN2fIRrjPUlERERERESW9s/9f/D27rcx4eAE3Eu/Z/F4rXxa4Zfuv2Biy4lwU7lZPF6Z8PIUoCj75/35JaBNKb58qFBYHC8DJBIJFi5cCKn02T+3YBBw+4fbMOlMVsnBpDPh1opbonYuUqkUCxcuhERSxnakpBzvSZ0RGLJDA63BOu1VtAYBg7droH/uPwHek0RERERERGRJCekJmHhoIkJ2heBs4lmLx6viUgULOizAsk7LUNO9psXjlSnlfIC2HxX+/PT7wIHZxZcPFQqL42VEy5Yt8cknn4jGNLEa3Fx60+L9xwWjgJtLbkIbJ16pPn78eK7QLcNyuidP3jEhZIvG4v3HDSYBA37RIDpe/OEQ70kiIiIiIiKyBK1Bi+XnlqPbtm6IuBph8XjODs4Y32w8tvfcjvaV23MRmKW0GgO4Vin8+ceWAg+uFl8+VGAsjpchX375JQICAkRjqadScWPRDYutIDfpTLix8AZST6eKxgMDAzFt2jSLxKSSI6d7cnuMAf02W24FudYgoO8mDXb8axCN854kIiIiIiKi4iYIAn6P+x09t/fEgtMLoDFoLBpPAgn61OqDyNcj8U69d+AgY19xi3JQA698WfjzTXrgjy+KLx8qMLmtEyDrUalU2LBhA9q1a4fU1GfF6tRTqYidEQvf4b5Q+aqKLZ72lha3VtzKtmK8XLlyWL9+PVSq4otFJZO5e3J7jAFtV6VhdU816pWXFVu8fxKMGLw9+4px3pNERERERERU3C49uITwE+GIvhdtlXjNKjRDWPMwBHgE5H0wFZ+6vYCqbYDrhwt3/r+/Alf3ATVegk6nQ2xsLNLS0qDT6aBQKODk5AR/f38oFIpiTZueYHG8jGncuDEiIyPRuXNnaLXPitaaWA2uTrmK8r3Kw+s1L0hkhf+6jWAUkPhrIhJ3JELIsvpXpVJh586daNy4caGvT6WLuXvy5B0Tmi5Pw9QXlfi0jQJyaeHvSYNJwKzDOkz7OwO6LHt+8p4kIiIiIiKi4nRfcx8LTy/E1stbIcDy+2r5Ovvik2afoGOVjmyfYgsSCfDqDGDZi0AB/70T00yI+NeAqL0DEK31w/nz/0Cn02U7TqFQoEGDBggKCkLz5s3Rs2dPeHl5FdMPULaxOF4GtWvXDr///ju6desmWq0rGATc++UekvYnweMlD7i3dYe8XP5vEcMjAx4efIikfUnQ39dne97FxQWRkZFo165dsfwcVHqYuyd1RuDzvzKw/JQOI4MUGNrEAd5O+e8GlZhmwsrTeiyN1iEuOfsLFO9JIiIiIiIiKi46ow7rLq3DsnPLkKZPs3g8tVyNEQ1GYFC9QVDKlBaPR7nwaQQ0fRs49VOehwqCgGO3jFh8Uo9NF/T/W8SnBZBg9hydTofo6GhER0dj+fLlGDVqFN544w2MGjUKLVq04IciRcDieBnVrl07HDhwACEhIYiJiRE9p7+vx73N95CwLQEujVygrqGGupoa6qpqyJyetbgwphmhua6BJk4DzVUNUs+mZlsp/lRAQAA2bNjA1blkVm73ZFyygM/+zMDk/RnoVluOFr4yBPnI0NRHBnf1sxeAhxoBp+KNiI434vhtIyL/M2RbKf4U70kiIiIiIiIqDoIgYN/NfZhzcg5upt60SsweNXpgbNOxKO9Y3irxKB86TAL+2QboUs0ecuyWAWN+1WZr91pQOp0Oa9aswZo1axAUFIRFixahRYsWRbpmWcXieBnWuHFjnD59GlOmTMGcOXNgMon/wxQMAh5FP8Kj6EfPBmWAVC6FyWACzBQdnyeVSjF+/HhMmzaN/ZwpT3ndkzojsPWSAVsvPdtMUy4FlDIgwwgY8vHawnuSiIiIiIiIisvlh5cx68QsHIs/ZpV4jb0bI6x5GOp71bdKPCoA5/LAi58CeyZne0prEDB5XwbmHtXBlJ/OK1I5JHIHCAY9YDLkemh0dDRat27NWkchsThexqlUKoSHh+P111/HmDFjEB2dxyYRRsBkzN+nW82aNcPChQv5yRUVSEHvSYMpf0VxgPckUUnGjWmIiHLHeZKIyLoeah9i0ZlF2PzfZpiEoq0Czo8KjhXwcdDHeM3/NbbQsGctRgInVwEPYzOHztw1ImSLBjH3zdwnMjkcazSHolIdKCrWhLJCDUhVzplPm7SPkXHvKnR3r0B351+kX40CjOKCuclkwqxZsxAREcFvyRcQi+MEAGjZsiVOnDiB48ePY/Hixfh57VrohYJvGqFUKjN7HjVv3pwTNhVa1nty4/o1Zluk5Ib3JFHJlJiYiIiICERFRSE6Ohrnz5/nxjRERM/hPElEZBt6kx4bYzZi8dnFSM2lfUZxUclUGFp/KAbXHwy1XG3xeFREciXQ+Rvg54EAgL/jDOi+IR2p2V+iIXOtAJcmr8G5QSfIHF3NXlKqcoa6aiOoqzYCABjTU/D4/B6knt4NY8o90bExMTFo164d91crAIkgFKICSqXe0YaN8GdCAs5rtbiYocW/GRk5FssdJBLUUSpRV6lCQ1dXvBd9km+286DT6TBjxgwAwIQJE7iSJ58SJ/og4nwyTtx50lP83D1TjsVyhQxoWEGKIB8Zgqs4oefyy7wniUoIQRBw7NgxLF68GJs2bcqxyJMXhULBjWnIaviaTtbGeZKIyDLy+5p+8NZBzD45G7EpsTk+X9xe838NHwd9jIpOFa0Sj4qJIABreuHAvr3ovDYd2qxdUWRyuLUZiHIt+kAileV4iXyFMRnx6PgWJB9en20luUqlwu+//84CeT5w5TjlyMPBAX3c3NDnf491goDbeh00JgF6QYCDRAK1VAJfBwUU/3tDLXVyYhGSLMbbSYZhTRUY1vTJY51RQOxDE9L1QIZRgFImgaMD4O8uhUL2v1/yFE4A70miEuHYsWP5a++VB25MQ0SlFedJIiLbuZZyDbNPzMah24esEq+eZz181vwzNC7f2CrxqJhJJDjjOwjd1kdkK4wrKtaCZ5dxUHhXLXoYqQyurfpDXbM5Hvw6H7q7lzOf02q16NatGw4cOMAWK3mQ2joBKhkUEgn8FUrUVanQSK1GXZUK/gplZmGcyNoUMgnqeMnQxEeGln5yNPGRoY6X7FlhnIhKBK1Wi9DQULRp0yZfBR+JTAKpSgpJPv5bf7oxTVhYGLRabXGkS0RkdQWdJx2kgLPiyf/mhfMkEVHuUjJSEB4Vjj47+lilMO6t9sbXbb7G+q7rWRgvwbRaLULGfJGtlYq6VktUfDO8WArjz1N4V0PFN8OhrtVSNJ6amoqQkBC+xueBK8eJiIjIJs6cOYOQkBDExMTk+LxELoFLIxeoa6ihrqaGuqoaMqdnXzs0phmhua6BJk4DzVUNUs+mQjCIW4BxYxoiKsnymicVMqBbbTla+soQVEmGpj4yuKmefXiYrBVwKt6I6DtGHLttROR/hmxt6ThPEhFlZzAZsOW/LVh4ZiGSM5ItHk8hVeCdeu9geIPhcHRwtHg8sqzJkydne+1W12oJ714TitRGJTcSuQLevSYgcfsMaC4fyxyPiYnBlClTEB4ebpG4pQGL40RERGR1f//9N7p3747U1OybGDl4OcCjgwfc27pD7mL+rYrMSQbnus5wrvtkJ3fDIwMeHnqIpL+SoL+vFx3LjWmIqKTJbZ6s5ibB+80UGNrEAV6O5peIu6kk6OAvRwf/J3NpYpoJq87oseSkDnHJ4g8TOU8SET0RdTcKc0/PxZXkK1aJ16lqJ3wc9DH8XPysEo8s69ixY5g7d65oTFGxFrx7hFqsMP6URCqDd49Q3F0XCt3dZ/fvnDlz0Lt3b7ZRM4NtVYiIiMiqDhw4gFdffTVbwUcil6BC3wqoHV4b3l28cy2M50ReTg7vLt6oHV4bFfpWgEQubr2SmpqKzp0748CBA0X+GYiILMncPKmQAdM7KHH5A2eEtlHmWhjPibeTFKFtnpw/vYMSiiy/o3OeJKKy7LH8MY6UP4L3971vlcJ4Hfc6WNl5Jb5t/y0L46WEIAgYM2YMTCbTs0GZHJ5dxkEit87G7RK5Ap5dxgGyZ79LmUwmjB49GoIgmD+xDGNxnIiIiKzmzJkz6NatW7a+d2p/NWpMqwHvbt756ieeG4lMAu9u3qgxtQbU/mrRc083pjlz5kyRYhARWYq5ebJZJSlOveuECW2VkEuLNk/KpRJMaKtE9LtOaFZJ/Csh50kiKmse6x5j/un5+MP3D9xxvGPxeB4qD0xpNQUbu21EcMVgi8cj6zl27Fi2/UHc2gws9h7jeVF4V4Nbm4GisejoaBw/ftyqeZQULI4TERGRVWi1WoSEhGRbCenS1AX+E/yh8lUVazyVnwr+E/zh0sRFNM6NaYjIXpmbJ3sFyHFwiBPqlS/er2PXLy/DwSFO6FlH/E0dzpNEVBYYTUZsvbwVXbd1xU8xP8EkMeV9UhHIpXIMrjcYka9Hom/tvpBZuMUGWd/ixYtFj2WuFVCuRR+b5FKuRR/IXCuIxrLmR0+wOE5ERERWkdPGNC5NXVBldBVIFZZ5SyJVSFFlTBW4NBUXyJ9uTENEZE9ymid7BcixuZ8aKnnRVoubo5JL8Et/NXoFiAvknCeJqDSLvheNkF0hmHJkCpK0SRaP175ye2zvuR2fNPsELgqXvE+gEicxMRGbNm0Sjbk0ec3ifcbNkUhlcGn8mmhs48aNSExMtEk+9ozFcSIiIrK4nDamUfurUXlk5SK3UcmLRCZB5ZGVoaomXpk+Z84cfrWQiOxGTvNks0pSbOijLnIblbzIpRJs6KNGkI/410POk0RU2tx+fBuf7P8Eg38bjEtJlywer6ZbTSzrtAwLOixA1XLWba1B1hUREQGdTvdsQOYA5wadbJcQAOeGnUS9x3U6HSIiImyYkX1icZyIiIgsKqeNaSRyCXyH+1psxXhWUoUUfsP9RJt0cmMaIrIXOc2TChmwuqflVoxnpZJLsLqXWrRJJ+dJIiot0vXpWHB6AXps64E/rv9h8XiuSld83uJzbO6+Ga0rtbZ4PLK9qKgo0WPHGsGQObraKJsnZI6ucKzRXDR24sQJG2Vjv1gcJyIiIovKaWOa8r3KF3uP8byo/FTw7uktGuPGNERkD3KaJ6e+qCz2HuN5qV9ehikvKkVjnCeJqCQzCSbsvLoT3bd1x/Jzy6Ez6fI+qQhkEhneDHwTu17fhZCAEMil8rxPolIh6+u4olIdG2UipqhUW/Q4a57E4jgRERFZWNaNXxy8HOD1mpdNcvHu4g0HLwfRGDemISJbyzoPVXOT4NM2CpvkEtpGgWpu4tXqnCeJqCQ6m3gWb/36Fj4/9DkSNAkWj9emUhts7bEVnzX/DK5K264YJuvS6XQ4f/68aExRsaaNshFTVBDnce7cOXH7FwI/wiIiIiKLyWljGo8OHhbvM26ORCaBx0seuLf5XubY2g1rcaH1BTiUc8jlTKIcCEBGlQwAwO7NuwHb3NZUwukf6XH659OisfebKSzeZ9wcuVSCkUEKfPZnRubYxo0bMXfuXHh7e+dyJhGRfbibdhfzTs3Drmu7rBKvWrlq+DT4U7T1bQuJhG8GyqLY2NhsBWdlhRo2ykYsa5Fep9MhNjYWderYx8p2e8DiOBEREVlM1o1pJHIJ3Nu62zAjwL2tOxK2JUAwPOmhKxgE3I26C48XPWyaF5VQ//sepsFgsG0eVGIlRSVlzkcAoJQBQ5vY9sO6oU0cMHl/BnTGJ4+fbuA1bNgwm+ZFRJQbjUGD1RdWY9U/q6AxaCwez8XBBSMbjURIQAgcZFxkUZalpaWJB6RySFXOtkkmC5nKGZDKAJMxcyw9Pd2GGdkftlUhIiIii8m6MY1LIxfIXWz72by8nBwujVxEY5pYy/8CRUSUk6zzT9facng52vbXNG8nKbrVFs/V3MCLiOyVIAjYHbsbPbb3wOIziy1eGJdKpOhfuz8ie0diUL1BLIxTtlXjErl93ROSLPdoRkaGmSPLJq4cJyIiIovJuuGLuobaRpmIqWuo8Sj6UeZj7XWtDbMhorJMEycu4rT0te4mnOa08JVh66Vn34jgBl5EZI8uPLiA8KhwnE44nffBxaBFxRb4NPhT1PFgSwp6RqEQ7xMiGPQ2yiRnglGcj1KpNHNk2cTiOBEREVlEThvTqKvZSXE8Sx7am1qYDCZI5fxSHRFZj8lgQsYt8eqtoEr2URwP8hHn8XQDr6wFACIiW7ivuY/5p+Zjx5UdECDkfUIR+Tn7YXzweHSo3IF9xSkbJycn8YDJAJP2sV20VjFqH4taqgCAo6OjjbKxTyyOExERkUXktDGNuqqdFMez5CEYBOgT9VD6cBUFEVmPPlEv6jcOAE197KM4njUPbuBFRPYgw5iBNRfX4Ptz3yPdYPm+yY5yR7zX6D28FfgWFDJ+OEg5861cFXIHBxj0z1ZoZ9y7CnXVRjbM6gnd3SuixwqFAv7+/jbKxj6xOE5EREQWkXVjGolMApmTfRR9ZE4yQAbguUUUJp3JZvkQUdlkyhDPOw5SwE1lHysS3dUSyKWA4bkUuYEXEdmKIAj468ZfmH1yNm4/vm3xeBJI0KtmL3zY9EN4qb0sHo9KJkEQsPdSAr7ZdRFSz6rAc4Vo3d0r9lEcvycujjds2JDfAsuCxXEiIiKyiGwb0zjYR8HnKalcCpPxWdVH0Fv+K7lERM/LumpcaWe/nSll4uI4N/AiIlv4N+lfzDoxC1F3o/I+uBg09m6Mz1p8hnqe9awSj0qmf++m4qvIizh05T4AQFGhpmiVtu7Ov7ZKTUR35z/R46CgIBtlYr/s7O0XERERlRbZNqaxs+KzySBesWlvxXsiKv0kcvG8k2Ewc6CNZIhblHIDLyKyqiRtEhaeXogtl7fAJFj+G36OBkc0SGqARQMWcb4jsx6m6fDd3v+w7vgNGE3Pfr9R+NQGzv6W+Tj9ahSM6SmQObraIk0AgDE9BelXxR8qBQcH2ygb+8XiOBEREVlE1o1pBKMAY5rRLlqrGNOMopYqACBVcDNOIrIuqVI87+hNQLJWsIvWKg81ArJ8hsgNvIjIKvRGPdbHrMeys8uQqk+1eDy1XI13At/Bvch7kAkybrhJOdIbTVh77Drm7b2MFI0+2/OOtVogaY8cMP7vk26jAY/P74Fri75WzvSZx+f2PMsHTxYv9ezZ02b52Cv+FkhEREQW4e/vn231uOa6xkbZiGXNQyKXwMHbwUbZEFFZ5eDtkG31+Kl4o5mjrStrHtzAi4gsTRAE/H3zb/SO6I05J+dYpTDerXo37Oy1EyPqj4BMsP0CDrJP+/9NwGvzD2Lazos5FsYBQOboCqeAtqKx1NO7IZhs87oumIxIPbNbNPbGG2/Ay4s99LNicZyIiIgsQqFQoEGDBqIxTZydFMez5KGqrIJUzrdFRGRdUrkUSj/xV/ej79hHcTw6S3GcG3gRkSVdTb6KkXtHYsxfYxD3KM7i8Rp6NcTaLmsxo+0MVHCqYPF4VDJdTXyMIauiMHjVCVxJeJzn8S5NuogeG1Pu4dHxLZZKL1ePjm+BMeWeaGzUqFE2ycXesa0KERERWUxQUBCio6MzH2uu2klxPEseqqoqG2VCRGWdupoa2jht5uNjt+2jOH48Sx7cwIuILCElIwWLzyzGxn83wihYfv4rry6PcUHj0LV6V0glXBhBOUtJ12P+n5fx09E4GEz53zdJUSkAiorijTmTD6+HumZzKLyrWSDTnOkS45B8aL1orFmzZmjRooXVcihJWBwnIiIii2nevDmWL1+e+Tj1bCoMqQbIXWz3FsTwyIDUs+Kv6brVcoOTg5OZM4jMEIAMXQYAQKlQAmxRSoXgVssND/c/zHwc+Z8B99NN8HK0XdEmMc2EyP/Eu4NyAy8iKk4GkwGb/t2ExWcXIyUjxeLxlDIlBtcbjKH1h8LRgfsnUM4MRhN+PnETc//4Fw/Tc26fkhuJRAKPjiNxd10o8HQTWaMBD36dj4pvhkMit/w3sASDDg9+nQeYnr2OS6VSLFy4kP30zWBxnIiIiCymR48eUCgU0Ol0AADBIODhwYfw7uJts5weHnwIwfDczvIKBaKmR7H/HhWYTqfDjBkzAAATJkxgywkqlMROifD70S9zntQZgZWn9Qhto8zjTMtZeVoP3XMLOLmBFxEVpyO3j2DWiVm4mnLVKvFerfYqPgr6CJWcK1klHpVMR67cx5eRFxFzt2i97pW+ASgX3AuPorZmjunuXkZixCx495oAidRyve0FkxGJEbNEK9cBYPz48Vw1ngt+h4SIiIgsxtvbG/379xeNJf2VBMGY/68nFifBKCBpX5JojBvTEJEt5TRPLjmpK9DXuIuTwSRgabRONMZ5koiKQ1xKHMb8OQbv7X3PKoXxQI9ArH51NWa/OJuFcTLr+oM0vPvTSQxccbzIhfGn3Nq+BbmHn2hMc/kYErfPgGDQmTmraASDDonbZ0Bz+ZhoPDAwENOmTbNIzNKCxXEiIiKyqKwbv+jv63F/932b5JL4ayL098VfkeTGNERka1nnobhkAbMPW+aX57zMOqxDXLK4MM95koiK4pHuEeacmIPXI17H37f+tng8T5Unvmz9JTZ03YCgCtwvgXKWqtVjxu5L6PTtAfxx8V7eJxSARK6Ad49QSBRq0bjm8jHcXRcGXeL1Yo2nS4zD3XWh2Qrj5cqVw/r166FScX+l3LA4TkRERBbVsmXLbBu5JWxPgPaW1swZlqG9pUXi9kTRGDemISJ7kNM8OfXvDPyTYN3NOf9JMGLq/gzRGOdJIioso8mIzf9tRvdt3fHjxR9hMBnyPqkIHKQOGFp/KCJfj8TrtV6HzILtK6jkMpoEbDxxAy/N+RvL/r4GndFkkTiKCtVRvu+UbH3GdXcvI/7HsUg5ugmCqWiv84LJiJSjmxD/47hsrVRUKhV27tyJxo0bFylGWcDiOBEREVmURCLBwoULIZU+e9shGATc/uE2TDrLvBnNyqQz4daKW6J2LtyYhojsRU7zpM4IDNmhgdZgnfYqWoOAwds10D83LXOeJKLCOnH3BN6IfANfHv0SSdqkvE8oopervIwdPXfgo6CP4Kxwtng8KpmiYpPQc9EhhG05j/uPM/I+oYi6vdIBG7ZEwMXFRfyE0YDkAz/h9vJ3kXLsFxjTC7YprTE9BSnHfsHt5e8i+cBPgFH8wZOLiwt+//13tGvXrqg/QpnADTmJiIjI4lq2bIlPPvkEs2fPzhzTxGpwc+lNVBldBRKZ5QovglHAzSU3oY0Tr1TnxjREZE9ymidP3jEhZIsGm/upIZdabp40mAQM+EWD6HjxB5acJ4mooG6m3sS3J7/F3ht7rRKvlnsthAWHoYUP5yoy79bDdMzYHYNd5+KtEq9WeWdM6lYX7Wp7AwDqHDiAkJAQxMTEiI4zptxD8t+rkXxoLRxrNIeiUm0oKtSEomJNyFTPPuQxah9Dd/cKdPeuQHfnP6RfjcpWEH8qICAAGzZs4IrxAmBxnIiIiKziyy+/xM6dO0VvClNPpeLGohuoPLIypIri/0KbSWfCzSU3kXpavLkON6YhInuU0zy5PcaAfps12NBHDZW8+AvkWsOTwviOf8W/ZHOeJKKCSNOnYcX5Ffjxwo/Qm/R5n1BE7kp3jGkyBr1r9YZcytIW5SxdZ8CS/Vex/MA1ZBgs/41VN0cHfNSxNt5sUQVy2bPfbRo3bozTp09jypQpmDNnDkymLLkYDUj/7wjS/zvybEwqg0TmAMGoB/LRfkUqlWL8+PGYNm0ae4wXENuqEBERkVWoVCps2LAh29cKU0+lInZGLLS3i7cHufaWFtemX8tWGOfGNERkr8zNk9tjDGi7Kg0XirkH+T8JRrywMi1bYZzzJBHll0kwYfuV7ei2rRtWnF9h8cK4XCLH23XfRmTvSPSv05+FccqRySRg66lbeGnOfiz464rFC+MyqQSDW1fD/vHt8U7raqLC+FMqlQrh4eE4fPhwtn1GcmQyQtBr81UYb9asGY4cOYLw8HC+dhcCi+NERERkNY0bN0ZkZGS2N22aWA2uTrmKxMhEUV/wwhCMAhJ2JuDq1KvZWqlwYxoisnfm5smTd0xoujwNMw5mwGAq2jxpMAmYfjADQcvTsrVS4TxJRPl1OuE0Bu4aiEmHJ+G+5r7F47X1bYutPbciNDgU5RTlLB6PSqZTNx6i95Ij+HjTWdx7ZPm+4u1qe+O3sW0xtUc9uDkq8jy+ZcuWOHHiBI4ePYq3334bCkXe5+REqVRi0KBBOHbsGKKiotgGrQj4ERsRERFZVbt27fD777+jW7duSE19tqpbMAi498s9JO1PgsdLHnBv6w55ufy/VTE8MuDhwYdI2pcE/f3sq5ZcXFwQGRnJjWmIyO6Zmyd1RuDzvzKw/JQOI4MUGNrEAd5O+V/vlJhmwsrTeiyN1iEuOXuBnfMkEeVH/ON4fBf9HXbH7bZKPH9Xf4QGh+IF3xesEo9KprspWoT/FoNtp29bJV51Lyd80S0QL9UpX+CNqyUSCVq2bImWLVti7ty5iIiIwIkTJxAdHY1z585Bp9NlO0ehUKBhw4YICgpCcHAwevbsCS8vr+L6cco0FseJiIjI6tq1a4cDZjam0d/X497me0jYlgCXRi5Q11BDXU0NdVU1ZE6yzOOMaUZormugidNAc1WD1LOpEAw5r6bkxjREVNLkNk/GJQv47M8MTN6fgW615WjhK0OQjwxNfWRwVz/7Bf2hRsCpeCOi4404ftuIyP8M0Jn5djbnSSLKS7o+HasurMLqf1ZDayzedng5cVG4YHTj0ehfpz8cpA4Wj0clk1ZvxPID17Bk/1Vo9MXbfiwnLio5xr5cC4NaVYNCXvSGHN7e3hg2bBiGDRsGANDpdIiNjUV6ejoyMjKgVCrh6OgIf3//Qq8yp9yxOE5EREQ2kdfGNIJBwKPoR3gU/ejZoAyQyqUwGUxAPt77cmMaIirJ8pondUZg6yUDtl561jNcLgWUMiDDCOSnxSrnSSLKiyAI2BW7C/Oi5+Fe+j2Lx5NJZOhXux9GNx4NN5WbxeNRySQIAiLPxWPm7hjcTtZYPJ5UAgxoXgWfdKoNT2elxeIoFArUqVPHYten7FgcJyIiIpt5ujHN66+/jjFjxiA6Ojr3E4yAyZi/DXWaNWuGhQsXsv8eEZVoBZ0nDab8FcUBzpNElLd/7v+DmVEzcTbxrFXitfJphdDgUNR0r2mVeFQynb+Vgi8jL+BE3EOrxGtV3ROTu9dFoA973ZdGLI4TERGRzT3dmOb48eNYvHgxfl67Fnqh4BvOKZVKvPHGGxg1ahSaN29e4P5/RET2Kus8uXH9GrMtUnLDeZKI8iMhPQHzT81HxNUIq8Sr4lIFnwZ/ihf9XuS8RGYlpGox5/d/sTn6Fgrxq0KBVfFwxOddAtG5XgXel6UYi+NERERkF57fmOb9M2fxZ0ICzmu1uJihxb8ZGTkWyx0kEtRRKlFXqUJDV1e8F32SG9MQUakl2sCr8h5EnE/GiTtPeoqfu2fKsViukAENK0gR5CNDcBUn9Fx+mfMkEZmlNWjx08WfsOL8CmgMlm9V4ezgjJGNRmJgwEA4yNhXnHKWYTBi5aE4LNp3BY8zDHmfUEROChnGdKiFIW2qQeUgy/sEKtFYHCciIiK74+HggD5ubujzv8c6QcBtvQ4akwC9IMBBIoFaKoGvgwKK/63ikDo5seBDRGWGt5MMw5oqMKzpk8c6o4DYhyak64EMowClTAJHB8DfXQqF7H+r3RROAOfJMmXWrFlYuXIlLl68CKm06BvHlSUPHjxAlSpVsHnzZnTp0sXW6VicIAjYc30P5p6ciztpdyweTwIJetfqjQ+afABPtafF41HJJAgCfr9wD9N/vYQbSekWjyeRAP2C/DC+cx2Ud+E+HGUFXx2JiIjI7ikkEvgrlKirUqGRWo26KhX8FcrMwjgRUVmnkElQx0uGJj4ytPSTo4mPDHW8ZM8K41TmPHr0COHh4QgLC8uzMH7z5k1MmzYNzZs3h7u7O7y8vNC+fXvs3bs33/FMJhNmzZoFf39/qFQqNGzYEBs2bCjqj2GxWHv37kWHDh3g6uoKFxcXBAUFYePGjZnPe3p6Yvjw4Zg0aVJxp293Lj24hCG/D8Enf39ilcJ4swrNsKn7JkxtPZWFcTLrUvwjDPz+OEaujbZKYbxZVXdEjH4Bs/o2YmG8jOHKcSIiIiIiIqJSZuXKlTAYDAgJCcnz2B07diA8PBy9evXCO++8A4PBgJ9++gmdOnXCypUrMWTIkDyvMXHiRMycORMjRoxAcHAwduzYgYEDB0IikWDAgAHF8SMVW6xVq1Zh2LBh6NSpE6ZPnw6ZTIZ///0XN2/eFB03cuRI/N///R/++usvdOjQoVh/BntwX3MfC08vxNbLWyHA8g2cfZ198UmzT9CxSkf2byazHjzOwNw9/+HnqBswWaGvuK+bGp+9FoBuDX14X5ZRLI4TERERERERlTKrVq1Cjx49oFLlvQLypZdewo0bN0TtyUaOHInGjRtj8uTJeRbHb9++jblz52L06NFYuHAhAGD48OF48cUX8emnn6Jfv36QyYqnb29RY8XFxWH06NH44IMPMH/+/FxjBQYGon79+li9enWpKo7rjDqsu7QOy84tQ5o+zeLx1HI1RjQYgUH1BkEpU1o8HpVMOoMJPx2Nw/w/LyNVa/m+4moHGd5vXwPvtqvOvuJlHNuqEBEREREREZUisbGxOHfuHDp27Jiv4+vVq5dt3w6lUokuXbrg1q1bSE1NzfX8HTt2QK/XY9SoUZljEokE77//Pm7duoWjR48W/IewUKylS5fCaDTiyy+/BAA8fvwYQg6bfj/VqVMn7Ny5M9djSgpBEPDXjb/Qa0cvfBv9rVUK4z1q9EDk65EY0XAEC+OUI0EQ8FfMPbw67wC+3nXJKoXxXo0r4a/xL+LDl2uxME4sjhMRERERERGVJkeOHAEANG3atEjXuXv3LhwdHeHo6JjrcadPn4aTkxMCAwNF482bN898vrgUNdbevXsREBCAX3/9FX5+fnBxcYGnpycmTZoEk8mU7figoCAkJyfjwoULxfYz2MLlh5fx7p53MXbfWNxMvZn3CUXU2LsxNnTdgG9e+AblHctbPB6VTFcSUvHOqhMYuvokrt23/Ic1jSq7Yeuo1pg3oAl8XNUWj0clA9uqEBEREREREZUiMTExAAB/f/9CX+PKlSvYunVrvlqixMfHo0KFCtn69fr4+AAA7twpvk0eixrr8uXLkMlkGDJkCEJDQ9GoUSNs3boVX3/9NQwGA2bMmCE6vnr16gCAixcvon79+sX2c1jLQ+1DLDqzCJv/2wyTkL34X9wqOFbAx0Ef4zX/19i/mcxKTtdh3t7LWHPsOoxWaCxeoZwSYa8GoFdjX0ilvC9JjMVxIiIiIiIiolLkwYMHkMvlcHZ2LtT56enp6NevH9RqNWbOnJnn8RqNBkpl9pYZT/udazSaQuVhiViPHz+GyWTCzJkzERYWBgDo06cPkpKSMH/+fHz++edwcXHJPN7d3R0AcP/+/eL6EaxCb9JjY8xGLD67GKm63NviFAeVTIWh9YdicP3BUMu5IpdyZjCasD7qBr7d8x+S0/UWj6eUS/Fuu+oY+WINOClZAqWc8c4gIiIiIiIiKgMSExNhNBozHzs7O2croBuNRgwYMAAXL17E7t27UalSpTyvq1arkZGRkW1cq9VmPl9Qd+/eFT12dXWFWq0uciy1Wo20tDSEhISIxkNCQvDbb7/h9OnTaNeuXeb4017jJWkV9MFbBzH75GzEpsRaJd5r/q/h46CPUdGpolXiUcl08HIivoq8iP/uPbZKvK4NfTDhtQD4uefeFoqIxXEiIiIiIiKiUsTT0xMGgwGpqamiVdDBwcG4fv165uMpU6Zg6tSponNHjBiByMhIrFu3Dh06dMhXPB8fH+zbtw+CIIiKyPHx8QCQrwJ7Ttd83qpVqzB48OAix6pUqRIuX76MChUqiMbLl3/SF/vhw4ei8aePs25Yao+upVzD7BOzcej2IavEq+dZD581/wyNyze2SjwqmWLvp+GbXRex91KCVeLVq1QOU7rXQ3N/D6vEo5KPxXEiIiIiIiKiUiQgIAAAEBsbi4YNG2aOr1u3TtR25Gk/7ac+/fRTrFq1CvPmzcu2sjo3jRs3xooVK3Dp0iXUrVs3c/z48eOZzxfUnj17RI/r1atXLLGCgoJw+fJl3L59W/TzP+1V7u3tLTo+NvbJ6uusG4Dak5SMFCw9uxQ/x/wMg2CweDxvtTfGNh2L7jW6QyqRWjwelUyPtHos+PMyVh+Jg95o+b7iXs4KfNq5DvoGVYaMfcWpAFgcJyIiIiIiIipFWrVqBQA4efKkqDjepk0bs+fMnj0bc+bMweeff46xY8eaPS4lJQXx8fHw8fGBq6srAKBnz5746KOPsHjxYixcuBDAk3YkS5cuha+vL1q3bl3gn6Fjx445jhckVnx8PFJSUlCjRg04ODgAAN544w38/PPP+OGHH/DNN98AAEwmE1atWgUPDw8EBQWJ4kVHR8PV1TWzOG9PDCYDtvy3BQvPLERyRrLF4ymkCrxT7x0MbzAcjg5sVUE5M5oEbDxxE3P/+BcP0nQWj6eQSTHkhWoY81JNuKgcLB6PSh8Wx4mIiIiIiIhKkerVq6N+/frYu3cvhg4dmufx27ZtQ2hoKGrVqoXAwECsXbtW9HynTp0y25Bs27YNQ4YMyWxzAgB+fn4YN24cZs+eDb1ej+DgYGzfvh0HDx7EunXrIJPJMq+1evXqbOcXREFiTZgwAT/++CNiY2NRrVo1AE+K6y+//DJmzJiB+/fvo1GjRti+fTsOHTqEZcuWZdvsc8+ePejevbvd9Rw/Fn8M4VHhuJJ8xSrxOlXthI+DPoafi59V4lHJdOzaA0zbeRGX4h9ZJd4rdStgYtdAVPV0sko8Kp1YHCciIiIiIiIqZYYOHYrJkydDo9HkuUnl2bNnAQCXL1/G22+/ne35ffv2ZevRndXMmTPh7u6OZcuWYfXq1ahVqxbWrl2LgQMHio57/PjJZnxZe4oXRH5j5UQikWD79u344osvsHHjRqxevRp16tTB2rVr8eabb4qOjYmJwT///IN58+YVOtfiduPRDcw5OQf7bu6zSrw67nUQ1jwMwRWDrRKPSqabSemY/usl7P7nbt4HF4M6FVwwuXtdtKlp/3sBkP2TCE+3XiZ6zr9BzWBKSyvQOVInJ9SJPmmhjEoPnU6HGTNmAHiykkGhUNg4oxJiuh+gSy3YOQoX4PNblsmHiCyKr0NUEvA1nWyK740oDykpKahevTpmzZqFYcOG2TqdTP3790dcXByioqJsnUqexo0bhwMHDiA6OtrmK8cf6x5j+fnlWHtxLfQmvcXjeag88EGTD/B6zdchk8ryPqGE42t64TzOMGDxvitYcSgWOoPJ4vHcHR3w8St1EBJcGXIZ+91T8eDKcSIiIiIiIqJSxtXVFaGhoZg9ezaGDBkCqdT2hSRBELB///5sbVvs0YMHD7BixQps2rTJpoVxo8mIHVd34P9O/R8eaB9YPJ5cKsdbgW/h3YbvwkXhYvF4VDKZTAK2nLqFWb//i8TUDIvHk0slGNSqGsa+XAuujuwrTsWLxXEiIiIiIiKiUigsLAxhYWG2TiOTRCJBQkKCrdPIF09Pz8wWMLYSfS8a4VHhuJR0ySrx2lduj/HNxqNquapWiUclU/T1JEzbeRHnbqVYJd5LdbwxsWtd1CzvbJV4VPawOE5EREREREREZCduP76Nb09+iz+u/2GVeDXdauLT4E/RulJrq8SjkulOsgYzd8cg4uwdq8Sr4e2ESd3qon2d8laJR2VXvovjOp3OknmQnSlMI3oBvE/y4/m/I/595Z8DBBT0y4wCBOj5d1ymsDdg/pSEuYevQ1QS8DWdbKk0vzfi63n+cN4pfdL16Vh9aTXWXFoDncny/76uCleMbDASvWv2hlwqL9P3FF/TzdPojPj+UBxWHI6DVm/5vuLlVHJ82KEGQoL94CCT8t+jhCsJr+n53pBz2rRpls6F7Mjrm3+Bg8FQoHP0cjm29etroYyorPtMWAglCvaimAEFZkrGWCgjskdTpkyxdQolQkl4TefrEBFR7krzeyO+nudPSXg9p/wRIOCG0w2cdz8PrVxr8XgSQYIaqTVQN7kuFCb7L1yRbQgCEGv0wAmDH9IFy98nEgioI0tEE4c7UEkK9nsA2a+S8JrOtipERERERERERDbwQPkAZzzO4KHyoVXiVdBUQKOkRiinL2eVeFQyJZocEaWvggSTdfp8V5I+QnOHG3CXWv7DIaKs8r1ynF9jKFuutWoNIS2tQOdInJxQ/egRC2VUeuh0OsydOxcA8Mknn5SIr5jYA4c5/pDoCrYhjqBwhn58rIUyInvE/57ypyS8pvN1iEoCvqaTLZXm90b8byl/SsLrOZl3L/0eFpxZgN3Xd1slXlWXqvioyUd4odILkEgK2pSp9ONr+hP3Hmnx7d4r2HYm3irxqnqo8dmrtdGhjjfvy1KqJPy3lO+V4yXhh6HiI0HB+71KwPukoBQKBf/O8q3gL5QSSPj3S5SDkvDfBV+HqKThazpZH98blXX8tyyZNAYNVl9YjVX/rILGoLF4PBcHF4xsNBIhASFwkDlYPF5pUBZf07V6I344FItF+64gXWe0eDwXpRwfvFwT77SuBqVcZvF4BTFr1iysXLkSFy9ehFQqtXU6NteyZUu0a9cOs2bNsnUqFsN/ZSIiIiIiIiIiCxIEAb/F/oae23ti8ZnFFi+MSyVS9K/dH5G9IzGo3iAWxilHgiDg1/Px6Pjt35j9+78WL4xLJMCA4Mr4a3x7vNuuht0Vxh89eoTw8HCEhYVlFsYfPHiA2bNno127dvD29oabmxtatmyJjRs3FujaP/zwAwIDA6FSqVCrVi0sWLCgyPlGRESgadOmUKlUqFKlCqZMmQJDAfZtunr1KgYOHIjy5ctDrVajVq1amDhxouiYsLAwLFq0CHfv3i1yvvaKPceJiIiIiIiIiCzkwoMLmBU1C6cSTlklXouKLfBp8Keo41HHKvGoZLpwJwVf7ryI47FJVonX3N8Dk7vVRX1fV6vEK4yVK1fCYDAgJCQkc+zo0aOYOHEiunTpgi+++AJyuRxbtmzBgAEDcPHixXxtjrxs2TKMHDkSffr0wccff4yDBw/iww8/RHp6OsLCwgqV6+7du9GrVy+0b98eCxYswPnz5/H1118jISEBS5YsyfP8M2fOoH379vD19cUnn3wCT09P3LhxAzdv3hQd17NnT5QrVw6LFy/Gl19+Wahc7R2L40RERERERERExey+5j7mn5qPHVd2QChww7iC83P2w/jg8ehQuQP7N5NZ9x9nYO4f/+LnEzeRv10Ii8bPXY3PuwTitfoV7f6+XLVqFXr06AGVSpU5Vq9ePVy+fBlVq1bNHBs1ahQ6duyI8PBwhIaGwsnJyew1NRoNJk6ciK5du+KXX34BAIwYMQImkwlfffUV3n33Xbi7uxc41/Hjx6Nhw4b4448/IJc/Ke+WK1cO06dPx9ixYxEQEGD2XJPJhLfffhsBAQHYt28f1Gq12WOlUin69u2Ln376CdOmTbP7f8PCYFsVIiIiIiIiIqJikmHMwIrzK9B1a1dsv7Ld4oVxR7kjPgr6CDt67cDLVV4ulcUrKjqdwYTlB67ipdn7sSHK8oVxR4UMn3aug70fv4guDXzs/r6MjY3FuXPn0LFjR9G4v7+/qDAOABKJBL169UJGRgauXbuW63X37duHBw8eYNSoUaLx0aNHIy0tDbt27SpwrhcvXsTFixfx7rvvZhbGgSdFe0EQMovw5vzxxx/4559/MGXKFKjVaqSnp8NoNN9Sp1OnTrh+/TrOnDlT4FxLAhbHiYiIiIiIiIiKSBAE/Hn9T/Tc3hPzT81HuiHdovEkkOD1mq9jV+9dGFp/KBSysrWJJOWPIAjYc/EeXvnub0z/NQapGfnvSV1YfZr6Yd/49hj9Uk2oHOyrr7g5R44cAQA0bdo0X8c/7cHt5eWV63GnT58GADRr1kw0HhQUBKlUmvl8QZi7ZqVKleDn55fnNffu3QsAUCqVaNasGZycnODo6IgBAwYgKSl7m52goCAAwOHDhwuca0nAtipEREREREREREXwb9K/mHViFqLuRlklXtPyTRHaPBT1POtZJR6VTP/eTcVXkRdx6Mp9q8RrWsUNk7vXQ+PKblaJV5xiYmIAPFkpnpekpCSsWLECbdu2hY+PT67HxsfHQyaToXz58qJxhUIBT09P3Llzp8C5xsfHA0COsX18fPK85uXLlwEA/fv3x6uvvooJEybg7NmzmDFjBm7evIlDhw6JVvr7+vpCoVDg4sWLBc61JGBxnIiIiIiIiIioEJK0SVh4eiG2XN4Ck2CyeDwfJx983OxjdK7a2e7bVJDtPEzT4bu9/2Hd8RswmizfWNzHVYXPXgtAj0aVSux9+eDBA8jlcjg7O+d6nMlkwptvvonk5GQsWLAgz+tqNBooFDl/q0OlUkGj0RQ416fnKJXKHK/56NGjXM9//PgxACA4OBhr164FAPTp0weOjo6YMGEC/vzzz2ztZdzd3XH/vnU+ZLE2FseJiIiIiIiIiApAb9Rjfcx6LDu7DKn6VIvHU8vVGFp/KAbXGwyVXJX3CVQm6Y0mrD12HfP2XkaKRm/xeCoHKd5rVwPvvVgdjoqyUWL84IMP8Ntvv+Gnn35Co0aN8jxerVZDp9Pl+JxWq811M8zcrgkAGRkZhbrm0+dDQkJE4wMHDsSECRNw5MiRbMVxQRBK7AcfeSkbdy4RERERERERUREJgoADtw5gzsk5iHsUZ5WY3ap3w7im41DBqYJV4lHJtP/fBHy96xKuJDy2SrwejSoh7LUA+LoVvLhrjzw9PWEwGJCamgoXF5ccj5k2bRoWL16MmTNn4u23387XdX18fGA0GpGQkCBqraLT6fDgwQNUqlSpwLk+bacSHx+PypUri56Lj49H8+bNcz3/acwKFcRzytP8Hj58mO2c5OTkPPurl1TckJOIiIiIiIiIKA9Xk6/i/b3vY8xfY6xSGG/o1RBru6zFjLYzWBgns64mPsaQVVEYvOqEVQrjDXxd8cvIVvi/kCalpjAOAAEBAQCA2NjYHJ9ftGgRpk6dinHjxiEsLCzf123cuDEA4OTJk6LxkydPwmQyZT5fEOaueefOHdy6dSvPaz7dYPP27dvZzgcAb29v0fjt27eh0+kQGBhY4FxLAhbHiYiIiIiIiIjMSMlIwYzjM9Anog8O3zls8Xjl1eUx/YXpWNNlDRp55922gcqmlHQ9vtx5EZ2/O4B9/yZaPJ63ixKz+zbEjtFt0Kyah8XjWVurVq0AZC84A8DGjRvx4Ycf4s0338S3335r9hrp6emIiYkR9ebu0KEDPDw8sGTJEtGxS5YsgaOjI7p27VrgXOvVq4eAgAAsX74cRqNRdE2JRIK+fftmjqWkpCAmJgYpKSmZYz179oRSqcSqVatgMj3bK2HFihUAgE6dOoniRUdHAwBat25d4FxLAhbHiYiIiIiIiIiyMJgMWH9pPbpu64r1MethFIx5n1QESpkS7zV8Dztf34nuNbpDKmHJhrIz/K+vePs5+7DycCwMFt5wUyGXYlT7Gtg3vj36NasMqbR09p2uXr066tevj71794rGo6KiMGjQIHh6euLll1/GunXrsHbt2sw/165dEx0bGBiIhQsXZo6p1Wp89dVXiIyMRL9+/bBixQq88847WLt2LSZOnAgPj2cfNOzfvx8SiQRTp07NM9/Zs2fj3LlzeOWVV/D9999j7NixmD59OoYPHy5a4b1t2zYEBgZi27ZtmWMVK1bExIkTcejQIbz66qtYvHgx3nvvPcycORMhISEIDg4WxdqzZw+qVKmCJk2a5PvvsyRhz3EiIiIiIiIiouccuXMEs6Jm4WrKVavE61ytMz4O+hiVnAvef5jKjiNX7uPLyIuIuWv5TWAB4LX6FfF5l0BU9nC0SjxbGzp0KCZPngyNRpO5aeXFixeh0+mQmJiIoUOHZjtn1apVqF69eq7XHTVqFBwcHDB37lxERESgcuXK+O677zB27FjRcY8fP2mL87SneG66deuGrVu3Ytq0afjggw/g7e2Nzz//HJMnT87Xz/rFF1/A3d0dCxYswLhx4zIL5lnPN5lM2LJlC4YNG8YNOYmIiIiIiIiISrPrj65jzok52H9rv1XiBXoEIqx5GIIqBFklHpVM1x+k4Ztdl/DHxXtWiRfoUw6Tu9VFqxqeVolnL4YOHYqvv/4a69evx7BhwwAAgwcPxuDBg/N1fvv27SEIOa/kHzFiBEaMGJHr+QcOHICfn1++4/Xq1Qu9evXK9Rhz+UskEowZMwZjxozJ9fyIiAgkJydj1KhR+cqpJGJxnIiIiIiIiIjKtFRdKpadXYZ1MetgMBksHs9T5YmxTceiR40ekEllFo9HJVOqVo+F+65g1aE46IymvE8oIk8nBT55pQ7eCK4MWSltn5IbV1dXhIaGYvbs2RgyZAikUuu2Ntq3bx8mTZoEpVJp1bi5CQ8Px5gxY/K1mr2kYnGciIiIiIiIiMoko8mIrVe2YuHphUjSJlk8noPUAW/XfRsjGoyAs8LZ4vGoZDKaBPwSfROzf/8P9x9nWDyeg0yCwa2r4YOXa6GcysHi8exZWFgYwsLCbBL7xIkTNombm6NHj9o6BYtjcZyIiIjsnk4QcFuvg8YkQC8IcJBIoJZK4OuggKKU9r4jIioInVFA7EMT0vRP/r9CJoGTA+DvLoVCxnmSKCcn7p5AeFQ4/n34r1XivVzlZXwS9Akql6tslXhUMkXFJuHLyAv45/Yjq8TrGFgeE7vWhb+Xk1XiEdkbFseJiIjI7iTp9fgzORnntFpc1Grxny4D+hz69zlIJKitUKKuSoVGrq547/59eHl52SBjIiLrSkwzIuK8DlG3jYiON+J8ggk6Y/bjFDKgQXkpgnxkaF5Vip6cJ4lwM/Umvj35Lfbe2GuVeLXcayEsOAwtfFpYJR6VTLcepmPG7hjsOhdvlXi1yjtjUre6aFfb2yrxiOwVi+NERERkFwRBwLFjx7B48WJs/Od8jsXwrPSCgAsZWlzI0GJzSjK+9PXFG2+8gVGjRqFFixaldkd1Iiqbnp8nN224m2MxPCudEYiONyE63oTlp5IxahfnSSq70vRpWHF+BX688CP0Jr3F47kr3TGmyRj0rtUbcinLL5SzdJ0BS/ZfxfID15BhsHxfcTdHB3zcqTYGNq8Cucy6PbWJ7BFnZyIiIrK5Y8eOYcyYMYiOji7SdXQ6HdasWYM1a9YgKCgIixYtQosWXKVFRCUf50miwjMJJkRcjcD8U/NxX3Pf4vHkEjlCAkMwstFIlFOUs3g8KplMJgHbz9xG+G8xuPfI8n3FZVIJ3m5ZFeM61oKbo8Li8YhKCn5ERERERDaj1WoRGhqKNm3a5KvgIwfgKJHm69P96OhotG7dGmFhYdBqtUXOlYjIFgo6T0Iqh0ShBvKxSpXzJJUFpxNOY+CugZh0eJJVCuNtfdtia8+tCA0OZWGczDp14yF6LzmCjzedtUphvF1tb/w2ti2m9qjHwjhRFlw5TkRERDZx5swZhISEICYmJsfnHSQStHdyQkO1GvWUKtRVqVBOJst8/pHRiIvaJy1Vzmk02J+Wlq0Vi8lkwqxZsxAREYENGzagcePGlvyRiIiKVV7zJGRyONZoDkWlOlBUrAllhRqQqpwznzZpHyPj3lXo7l6B7s6/SL8aBRgNoktwniRr0+l0iI2NRVpaGnQ6HRQKBZycnODv7w+FoviKdvGP4/Fd9HfYHbe72K6ZG39Xf4QGh+IF3xesEo9KprspWoT/FoNtp29bJV51Lyd80S0QL9UpzzZaRGawOE5ERERW9/fff6N79+5ITU3N9pyvgwMGuLqht6sr3OXm36qUk8nQ0skJLZ2cAABJBgO2paTg55Rk3NaL+4jGxMSgXbt2iIyMRLt27Yr3hyEisoDc5kmZawW4NHkNzg06QeboavYaUpUz1FUbQV21EQDAmJ6Cx+f3IPX0bhhT7omO5TxJlpKYmIiIiAhERUUhOjoa58+fh06ny3acQqFAgwYNEBQUhObNm6Nnz56F2jxWY9Bg1T+rsOqfVdAaLf+NCBeFC0Y3Ho3+dfrDQepg8XhUMmn1Riw/cA1L9l+FRp+PDSOKyEUlx9iXa2FQq2pQyNk0gig3LI4TERGRVR04cACvvvpqtq/wO0gkGO3phaEeHpAXYmWLh1yOYZ6eeMfDAyuTkrDowX3RSvLU1FR07twZv//+Ows/RGTXzM2TkMnh1mYgyrXoA4lUlvPJuZA5usK1RV+UC34dj45vQfLh9aKV5JwnqbiINo/dtCnHYnhWOp0O0dHRiI6OxvLlyzFq1KgCbR4rCAJ+jf0V30V/h3vp93I9tjjIJDL0q90PoxuPhpvKzeLxqGQSBAGR5+Ixc3cMbidrLB5PKgEGNK+CTzrVhqez0uLxiEoDFseJiIjIas6cOYNu3bplK/jUV6nwTUUf1FIW/U28XCLBu56eeMnZGRPvxuOf52JptVp069YNBw4cYOsAIrJL5uZJRcVa8OwyDgrvqkWOIZHK4NqqP9Q1m+PBr/Ohu3s58znOk1RUttg89p/7/2Bm1EycTTxbpJj51cqnFUKDQ1HTvaZV4lHJdP5WCr6MvIATcQ+tEq9VdU9M7l4XgT7sdU9UEPxuBREREVmFVqtFSEhIthYBLzs7Y03lKsVSGH9eLaUSaypXQQdnZ9F4amoqQkJCuPkcEdkdc/OkulZLVHwzvFgK489TeFdDxTfDoa7VUjTOeZIKo6Cbx0pkEkhVUkhkeX9bzNzmsQnpCZh4aCJCdoVYpTBexaUKFnRYgGWdlrEwTmYlpGoR+stZ9Fh0yCqF8Soejlj6VhDWj2jBwjhRIXDlOBEREVnF5MmTs20q97KzM76r5FuoNir5oZRKMa+SLz66cxt/Pn6cOR4TE4MpU6YgPDzcInGJiAojp3lSXaslvHtNKFQblfyQyBXw7jUBidtnQHP5WOY450kqiLw2j5XIJXBp5AJ1DTXU1dRQV1VD5vTsnjamGaG5roEmTgPNVQ1Sz6ZCMJjfZHv1mtU4qziLFedXQGOwfKsKZwdnjGw0EgMDBsJBxr7ilLMMgxErD8Vh0b4reJxhyPuEInJSyDCmQy0MfaEalHLLvEYQlQUsjhMREZHFHTt2DHPnzhWN1VepMMenksUK40/JJRLM8amEt27cwIWMZ6vN5syZg969e5v9ijYRkTXlNE8qKtaCd49QixXGn5JIZfDuEYq760Khu3slc5zzJOVHbpvHOng5wKODB9zbukPuYr78IHOSwbmuM5zrPvm2l+GRAQ8PPUTSX0nQ38++yXabdm1QZVwVONVxKt4fJgsJJOhdqzc+aPIBPNWeFo1FJZcgCPj9wj1M//USbiSlWzyeRAL0C/LD+M51UN5FZfF4RKUd26oQERGRRQmCgDFjxsBkMmWOOUgk+KaiD5RS67wVUUqlmO7jA4fnCvEmkwmjR4+GIAi5nElEZHk5zZOQyeHZZRwkcoVVcpDIFfDsMg6QPStgcp6kvDzdPDZrYVwil6BC3wqoHV4b3l28cy2M50ReTg7vLt6oHV4bFfpWgEQu/iDdqDEibk4c0v5NK/LPYE6zCs2wqfsmTG09lYVxMutS/CMM/P44Rq6NtkphvFlVd0SMfgGz+jZiYZyomLA4TkRERBZ17NixbL1HR3t6FXuP8bzUUioxylP8y210dDSOHz9u1TyIiLLKaZ50azOw2HuM50XhXQ1ubQaKxjhPkjnmNo9V+6tRY1oNeHfzzlc/8dxIZBJ4d/NGjak1oPZXi54T9AKuf3cdmuvF21bF19kX37b/Fis7r0SAR0CxXptKjwePM/D5tvPo+n8HcfTaA4vH83VTY0FIE2we2QoN/FwtHo+oLGFxnIiIiCxq8eLFose+Dg4Y6uFhk1yGeXjC10HcKzRrfkRE1pZ1HpK5VkC5Fn1skku5Fn0gc60gGuM8SVmZ2zzWpakL/Cf4Q+VbvCtaVX4q+E/wh0sTF9G4SWvCraW3YNKZzJyZf2q5Gh82+RA7eu1Ap6qdILFw2zcqmXQGE1YcvIb2c/Zj/fEbMFn4izVqBxk+7lQbf37yIro3qsT7ksgC2HOciIiILCYxMRGbNm0SjQ1wdbN4n3Fz5BIJ3nB1w7f3EzPH1q7/GVHlu0Lu5GaTnKjkEiBAl9EEALDpm78gAX9hpYIzpCXjvw0bRWMuTV6zeJ9xcyRSGVwav4bkv1dnjm3cuBFz586Ft7e3TXIi+5PT5rEuTV1QZXSVIq8WN0eqkKLKmCq4segGUk89K8pnxGcgYXsCKvavWOhr96jRA2ObjkV5x/LFkSqVQoIgYN+/Cfg68hKu3bdcO5/nvd7EF6Gv1oGPqzrvg4mo0FgcJyIiIouJiIiATqfLfKyQSNDb1bZfBe3t6ooFD+5D/78euoJRj8QLR+DS6BWb5kUl1ZMCpj7DaOM8qKRKvXAEgvG5DQdlDnBu0Ml2CQFwbtgJyYfWAkYDAECn0yEiIgLDhg2zaV5kH3LaPFbtr0blkZUtVhh/SiKToPLIyrg2/Rq0cc/audzffR/lgsrBsYZjga7X2LsxwpqHob5X/eJOlUqRKwmp+DLyEg78l5j3wcWgUWU3TOleF02ruFslHlFZx7YqREREZDFRUVGixy86OcFdbtvP5j3kcrR3chKN6e7+Z6NsiKis08WL5x/HGsGQOdr2Q0SZoyscazQXjZ04ccJG2ZA9yWnzWIlcAt/hvpAqrFNekCqk8BvuJ96kUwDurLmT781jKzhWQHjbcPz02k8sjJNZyek6TI24gM7zDlqlMF6hnBLfvdEI295vzcI4kRVx5TgRERFZTNYN5hqq7eNroQ1Vaux5/Djzse7uVRtmQ0Rlme7eFdFjRaU6NspETFGpNtL/O5L5OOt8TmVTTpvHlu9Vvth7jOdF5aeCd09vJGxJyBzTxmmhuaqBY03zq8dVMhWG1h+KwfUHQy23j/ckZH8MRhN+PhqHb/f8h+R0fd4nFJFSLsW77apj5Is14KRkmY7I2vhfHREREVmETqfD+fPnRWP1lNb95dmcuipxHrrEWAhGPSQyBzNnEBEVP8Gohy4xTjSmqFjTNslkoaggzuPcuXPQ6XRQKBQ2yojsQdbNWR28HOD1mpdNcvHu4o2Hfz+E/v6z4mXSX0lmi+Ov+b+Gj4M+RkWnwvcmp9LvtrEcei45hssJ1ukr3rWhDya8FgA/94K1BCKi4sPiOBEREVlEbGysqN84kL0obSvZ8jAaYEi+BwdPP9skRERlkiH5XmZf76eUFWrYKBuxrEV6nU6H2NhY1KljHyvbyfpy2mTbo4OHxfuMmyORSeDxkgfubb6XOZYSlYKKAypCXu5ZqaOeZz181vwzNC7f2AZZUkkR9yANezNq4qbJDbBCYbxepXKY0r0emvt7WDwWEeWOxXEiIiKyiLQ08S8WcgDlZDLbJJOFq0wGOYDnS1KCIcNW6RBRGWXSa8UDUjmkKmfbJJOFTOUMSGWA6dlms+np6TbMiGwt6ybbErkE7m1t2xfZva07ErYlQDD8b5Ntg4BHpx/B40UPeKu9MbbpWHSv0R1SCbdbo5w90uqx4M/LWH0kDnqTm8XjeTkr8GnnOugbVBkyqW0+WCIiMRbHiYiIyCKyrhpX2Nkvpg4SCQzPbdwlGCzfU5KISCTLqnGJ3L5aO0lkDhCeK45nZPBDxLIs6ybbLo1cIHexbUlBXk4Ol0YueBT9KHNMF6fDiDEjMLzBcDg6sFUF5cxoErDp5E3M+f1fPEjT5X1CESlkUgx5oRrGvFQTLir7muuJyjoWx4mIiMgisval1QkmG2WSM/1zhXHA/opSRFQGyMS/jtnbh3SCUZyPUqm0USZkD7JuxKmuYR8bWqprqEXF8UrJlfBh0w9tmBHZu2PXHmDazou4FP8o74OLwSt1K2Bi10BU9XSySjwiKhgWx4mIiMginJzEvwAYADwyGu2itUqK0QhDljGJnEUfIrIuqUOW/Q9MBpi0j+2itYpR+1jUUgUAHB25CresymmTbXU1OymOZ8kj5kIMN4+lHN1MSsf0Xy9h9z93rRIvoKILJneri9Y1bbNpLRHlD4vjREREZBH+/v5QKBSi9ioXtVq0dLL9qpmL2ix9fmVyyN0q2CYZIiqz5G4Vnqwef669Ssa9q1BXbWTDrJ7Q3b0ieqxQKODv72+jbMjWctpkW13VTorjWfLg5rGU1eMMAxbvu4IVh2KhM1j+m4zujg745JU6GBBcGXKZfbUVJKLsWBwnIiIii1AoFGjQoIHoa9gXMuyzOK7w9odExrYqRGRdEpkDFN7VRIVo3d0r9lEcvycujjds2JArccuwrJtsS2QSyJxs/00wAE/ykAF47osO3DyWAMBkErDl1C38P3t3Ht9Ulf9//J20TdONpbRggaJFUBatSFkKaAUHdFQEZ0QURx0BxxlxVwaGUUFURDaXH5syKjiIiOOCiDqKIwgqm5VFRRSxRZYibYFS2qZpkvv7gy+V24VuSZM2r+fjwUPvyb3nfHJ7e276uSfnTP/oB2Xn+37NhFCrRbf0OUv3/q6jmkbyuRJoKEiOAwAAn0lJSTElx7cXFfkxmt9sd5jjsJ1xtp8iARDsbK06mJPjB37wYzS/cR740bSdkpLip0gQCMqOGreEWfwUScWsoVZ53L+NCGbxWKTvOazJ7+3Q9n159dLegHPj9dBVXdShpf+nxQJQMyTHAQCAz/Tq1UsLFiwo3V5TUKAjLpeah/rvI8hhl0tryoyAa5LYSdHhfCxCzRgy5Cw+kTCyhdtkUWAli9AwlLTrpOPb/lu6Xbh7k9yFeQqJbOq3mNyFeSrcvclU1rNnTz9Fg0BQ9lsDRolRyZ7+4SkzVQaLxwavA0eL9NSHO7Vi24F6ae/s+Cg9MriL+p/bsl7aA+B9/BUIAAB8ZsiQIaZ5x0sMQ2/n5Wl0ixZ+i+ntvDyVGL/9UW+z2bTt5YcUF8diSagZp9OpqVOnSpImTJjAlBOolezs7mrbdt5vI3PdLh3/ZpWa9h7mt5iOb19lmgfdZrNp6NChfosH/ld2kW3Dbchd4A6IqVXcBW7TlCoSi8cGoyKnW89/tlsvrN0tR4nv5xVvYg/V/YPO0U2pZyqMecWBBo3fYAAA4DPx8fEaPny4qez1vKNyGf4ZceYyDC3LO2oqu/7660mMA/CbivrJ/C0fyvC4KznCtwyPW/lbPzSV0U/i5CLbpyraExhTpZWNg8Vjg4thGHp3635dOmuNnvvfLp8nxq0W6ZY+Z+qzvw/QyH5JJMaBRoDfYgAA4FNjxowxbe8vKdHLhw/7JZaXDudqf0mJqaxsfABQ38r2Q+68X3Vs41t+ieXYxrfkzvvVVEY/iZOLbJ+qKDNAkuNl4mDx2OCxbe9RDXt+ve59fauy8hxVH1BHF3WI04f3pumxoeepeRTXGNBYkBwHAAA+lZqaWm4ht7m5OdpVz4tl7Sou1tycHFNZjx491Lt373qNAwDKqqifPPrFa3JmZ9ZrHM7sTB39/DVTGf0kTip7jRbtDpDkeJk4WDy28fv1mEMPvrFNQ+d+ofQ9R3ze3lktIvWvW3po8eheOveMGJ+3B6B+kRwHAAA+ZbFYNGfOHFmtv33sKDEMPXQwS8Ue388JKUnFHo/+mZUl1yllVqtVc+bMkcXCIooA/KuiflJul3I/eE6Gy1kvMRgup3I/eFby/NZT0k/iVL169TJt52/LlyvfVcne9cN1zKX8bfmmMhaPbbwcJW7NXf2TBsxco7e+3ufz9mLCQ/XPKzvpo/vTNKhLK/pCoJEiOQ4AAHwuNTVVDz74oKnsW4dDY7MO+Hz+cZdh6MGsA/qu2Px127FjxzIaEkDAqKifdB7cpewV030+/7jhcSt7xXQ5D/5kKqefxKlOLrJ9kuEydGSd70ftns6RdUdkuMyLbLN4bONjGIY++CZLA5/+TDM++kGFTt/2iRaLNKJXoj4d21+3p52t8FD/LzwLwHdIjgMAgHrx2GOPqVOnTqay/x0/rvsP7PfZCPJij0f3HdivT48fN5V37txZkydP9kmbAFBbFfWTRbs2KHv5VJ+NIDdcTmUvn6qiXRtM5fSTKKuixWMPf3pYhts/i2wbbkOHV5vXMGHx2MbnuwN5umHBBo1Z8rX2HfH9VD6trPl652+9NfWPyYqPCfd5ewD8j+Q4AACoF3a7XUuXLlVMjHmuxv8dP66b9/7i9TnIdxUX66ZffimXGG/SpIlee+012e12r7YHAHVVWT9ZtGuDDi4ZL2f2Hq+258zO1MEl48olxuknUZmyi7OW5JQo58OcSvb2rewPslWSwyLbjVXO8WJNeHu7Bs/+XBszfL+Qe9tmdg2w7dYVth/UJaGJz9sDEDhIjgMAgHrTrVs3rVy5slzC5VuHQ8P2ZGpBbm6dp1lxGYZeyM3RsD2Z5aZSsdvteu+999StW7c6tQEAvlJZP+k8uEtZr9yrvPVv1HmaFcPjVt76N5T1yn3lplKhn8TpVLR47KHlh+TY56jkCN9w7HMoe3m2qYzFYxsHp8ujBWt3a8CMNVq6aa98PPueIm0h+vvl5+rDu/vqrJAjYlpxIPiQHAcAAPUqLS1NH330UbmRkSWGoWdzsnVFxs96MTdXh101W+TrsMulF3NzdUXGz3ouJ0clZf6aiomJ0UcffaS0tLQ6vwcA8KXK+km5XTq69t/av+B25W14U+7CvBrV6y7MU96GN7V/we06uvbfktvcz9JPoioVLR5ruAztf2m/PM76WWTb4/Ro34v7TNO5sHhsw2cYhlbt+FWXPfOZnvxgp/KLfb/Y67Xd22r12P66c0AHhYcxrzgQrEL9HQAAAAg+aWlpWrt2rUaMGKGdO3eaXttfUqKnc7I1OzdH/aOilGyPUBe7XV3sdjUN+e0Plzy3WzscDu1wOLTdUaQ1BQXlEuInderUSUuXLmUkJIAG43T9pDvvVx39bJGOfv6qIs/uJVvrc2Rr1UG2MzooxB79236O43Ie/EnOX3+S88CPKty9qVxC/CT6SVTXycVjZ8yYUVpWlFGkvc/vVbs728kS4rsEteE2tHf+XjkyWWS7MfnhYL4eX7lDn/9UP1P0dG/XTJOu7qoLEpvVS3sAAhvJcQAA4BfdunXTli1bNGnSJM2cOVOeMotylhiGVh0/rlWnzBkeKinMYlGJYag644msVqvGjh2ryZMnM3cugAanqn5SbpcKf/xShT9++VuZNUSWkDAZ7hKpGtOv0E+iNh577DG99957pgc3+V/n65e5vyjxb4my2rz/JXWP06O98/cqf0u+qZzFYxuuIwVOPfPJj1qy8Re5Pb5f2DWhqV3/uKKThlzQmm8ZACjFtCqoFqdhKMNZrB0Oh7YVFWmHw6EMZ7Gcvp4ADKiE023ohxy3vs5ya8M+l77OcuuHHLecbq5JoCGx2+2aNm2avvjii3JzmFbEJamomonxHj166Msvv9S0adNI+ABosGraT8rjllHiqFZinH4StVXZ4rH5X+crY2qGHPu9Owe5Y59DPz/5c7nEeExYmJYsWcL128CUuD1a+EWG+s9co3+v3+PzxLg9zKp7f9dR/3vwEg3t1obEOAATRo6jQodLSvS/o0e1/f++rv6js7jCr6qHWSw6xxauLna7LmjaVH/NyVFcXJwfIkZjl13g1opvnNq03630LLe+OeSRs4K/+Wwh0vktrUpJCFGvM60ayjUJNAipqanavHmzNm7cqHnz5mnZsmVyOp01ric8PFzXX3+9xowZo169evHHD4BGg34Sgebk4rGXX365HI7fkuFFGUXaPWm3Wl7TUnFXxNVpmhXDbSj7g2xlv5stw2X+ezTcYtHcMxJ0dk79TMUB71jzwyE98f73+unQ8ap39oIhF7TWP67opNbNIuqlPQANj8UwGPqLEwzD0IYNG0582F6ypNJ5W0/HZrOVftju3bs3H7Yr4HQ6NXXqVEnShAkTZLPZ/BxR4Dr1mnxj6asVJsOrwjUJNEzZ2dlasWKFNm/erPT0dG3fvr3CJJDNZlNycrJSUlLUs2dPDR06lAdiqDfc0+FP9JMIFGvXrtXgwYOVn59f7rWwuDDFDohV84ubK7RJ9cfmuY65dGTdER1efVglOSXlXo+yWjW/TVv1iIxUWGKi2r+/Ulb64IC2O/u4nli5Q6t/yK6X9pLbNtWkq7so5czYau3PPR0IXiTHIUnasGGD7rrrLqWnp3utzpSUFM2dO5eFUcrgpls9XJMATuV0OpWRkaHCwkIVFxcrPDxckZGRSkpKoh+F33BPRyChn4Q/bd26tcLFY0+yhFoUc0GMIs6OUMRZEYo4M0IhUb8tsu0ucKtoT5GKMotUtLtI+dvyy40UP6m9zaYZCa3V+ZSpVOIffEBxf/mLd98UvCKvsETP/W+X/r0+U656mFc8PiZc43/fSX+8sI2s1uoPjOKeDgQvplUJcg6HQxMnTtSsWbPKL/BTgVBJNotVTsNT5Xyv6enp6tu3Lwv8oEZqek3KGipLaJgMV4nkOf1VyTUJNFw2m03nnnuuv8MAgIBFPwl/qmrxWMNl6Fj6MR1LP/ZbYYhkDbXK4/JI1fiGqFXSyNhY3dUiTuFW8/JpufOfV7NrrlFofLwX3g28weX26PXNezXr4x90pLD86H9vs4VaddtFSRozoIOiw0l1Aag+eowgVtXT/TCLRf2jopQcEaGu4XZ1sdvVJOS3p/vH3G7tcDj0XbFD24uKtKagoNxULB6PR9OnT9eKFSu0dOlSdevWzZdvCQ1cVdekQkIVeXYv2VqfK9sZHRTe6mxZ7dGlL3scx1X86245D/4k54EfVLh7k+Q2J8y5JgEAAADvO7l47B/+8IfqfQPULXnc1RgMI+k8u10PtWylCyIqnjfaU1ioQ88+q9ZTptQ0bPjAlz/l6LGVO7TzYPmpdnzhivPO0D+v7KzE2Mh6aQ9A40JyPEh99tlnuvrqqyucF65NWJhuaNpMf2zaVM1DK79EmoSEKDUqSqlRUZKkwy6X3snL0+t5R7W/xPxkeOfOnUpLS9PKlSuVlpbm3TeDRuF012RI01aKufAKRZ8/SCGRTSutw2qPVsSZFyjizAskSe7CPB3/ZpXyt3wod96vpn25JgEAAADv89bisTaLRVfExOiGZs2VbLdXuXZQ3tvvqPmNNyqia9faho462pNboCnvf6+Pd/xa9c5e0DmhiSYO7qI+Z7eol/YANE4kx4PQ2rVr9fvf/960orh0YqT4nS3iNCo2VqG1WLQwNjRUo1u00J9jY/Xy4cOam5tjGkmen5+vyy+/XB999BHJSJhUdk0qJFTN+t2oJr2vlcUaUvHBpxES2VRNew9Tk55/0LGNb+noF6+ZRpJzTQIAAADeZ7FYlJqaqtTUVM2aNavai8ee1769OmQd1Pl2uy6Njj7tYK1yDEO/PjlVZ766uMpEOrwr31GiOat/0sLPM+Ws5rcB6qJFlE1jLz9Xw3skKqQG84oDQEVIjgeZrVu3avDgweWSkOfZ7ZpyRoI6hofXuY1Qi0W3t2ihAdHReuhglr49pS2Hw6HBgwdr7dq1TGcBSZVfk7YzOqrFlffJFn9mnduwWEPUtM9wRXTopdwPnpPz4K7S17gmAQAAAN+Jj4/X6NGjNXr0aElVLx679667dPyT/9WqraL0dOV/+KGaXHmlN98CKuH2GHozfa9mfPSjco4X+7y9sBCLRvZL0l2XdlATe5jP2wMQHEiOBxGHw6ERI0aUm7bid9HRmpnQutyiJnXVMTxcixPb6cGsA/r0+PHS8vz8fI0YMUJbtmxhQcQgV9k1GdExVfFDxskS6t0Vwm3xZ+mMP01T9orpKtq1obScaxIAAACoH1UtHttq3DgVfLZWRkntFnH8deZMRV96qax8rvepTRmH9djK7/Tt/mNV7+wFAzu31ENXdVFSXFS9tAcgeHg3G4qANnHixHILHf4uOlrPtG7j9cT4SeFWq55t3Ua/i442le/cuVOTJk3ySZtoOCq6JiM6pir+mgleT4yfZAm1Kf6aCYromGoq55oEAAAA/M/Wrp1i/3xLrY93HchS7ssvezEinGrfkULd+drXGv7C+npJjHdsGa3Fo3vpxT/3JDEOwCdIjgeJDRs2aNasWaay8+x2zUxoXav5xWsi1GLRzITW6hpufnI/c+ZMbdy40adtI3BVdE3azuh4YsR4LeYXrwmLNUTxQ8bJdkYHUznXJAAAAOB/Lf72N4XExdX6+Nx/vaiSX+tnUchgUeh0adbHP+h3sz7T+9uzfN5es8gwPTa0qz6892Jd3DHe5+0BCF4kx4OAYRi666675PH8tjBGmMWiKWck+GzEeFnhVqueTEhQ2CmJeI/HozvvvFPGKYt2IjhUdE0qJFQtrrzPZyPGy7KE2tTiyvukkN9ml+KaBAAAAPwvJDpaLe+7t9bHG0VFOlRmIA5qx+Mx9PbX+zRg5hrN/vQnFbt8u+BmiNWiW/uepTVj++uWPmcpNIS0FQDfopcJAhs2bFB6erqp7M4WcV5ZfLMmOoaHa0yLFqay9PR0RuoGoYquyWb9bvTK4ps1YYs/S8363Wgq45oEAAAA/K/pH/6g8C6da338sRXvqWjrVu8FFIS+/uWI/jj/Sz3wxjb9esz3C26mnROv/957sR4d0lXNIutn0BQAkBwPAvPmzTNttwkL06jYWL/EMjq2hdqEmVeVLhsfGr+yP/OQpq3UpPe1fomlSe9rFdK0lamMaxIAAADwL0tIiM745z/rVMfBqVNleHw70rkxOpjn0P3LtuqP877U1r1Hfd5e+7govXxrD70ysqc6torxeXsAcKrQqndBQ5adna033njDVHZD02Y+n2e8MqEWi65v2kxP52SXlr362uva1PIqhUY180tM9c2QIWfxhZKkN6Z8Kov887PwF1fBUf24dJmpLObCK3w+z3hlLNYQxXS7Qkc/W1RatmzZMs2aNUvx8cxtBwAAAPhLZI8eirni98r/8L+1Ot6xbbuOvfeemg4d6uXIGidHiVsL1v6s+Wt2q6jE7fP2Yuyhuvd3HXVLn7NkC2XsJgD/IDneyK1YsUJOp7N022ax6I9Nm/oxIumPTZtqdm6OSv5vXmfDXaLs775UzAWX+TWu+nUiEVxS7PsPHIEm/7svZbhLfisICVP0+YP8F5Ck6ORBOvr5q5LbJUlyOp1asWKFRo8e7de4AAAAgGDXauxYHf90tYzi2k3rcWjW04oZOFDWqCgvR9Z4GIahlduz9NSHO7X/aJHP27NapBG92umBQeeoRXT9TvcKAGXxaK6R27Rpk2n7kqgoNQ/17zOR2NBQ9S/zwcR58Ec/RYP65swy/6wjz+6pkEj/PrAJiWyqyLN7mco2b97sp2gAAAAAnBTWpo1iR42s9fGuQ4eU8+KLXoyocflmX56Gv7Bedy/dUi+J8b5nt9D791ysKX84n8Q4gIBAcryRK7voYXJEhJ8iMUu2m+NwHtztp0hQ35y//mTatrU+10+RmNlan2PaLvu7AwAAAMA/4m67TaEtW9b6+MMvL1TJ/v1ejKjhO5Tv0Lg3t2nI3M+1OfOIz9trFxupF25O0ZLbeqtzQhOftwcA1UVyvBFzOp365ptvTGVdw+1+isasi90chzM7wzzVBholw10iZ3amqcx2Rgf/BFOGrZU5ju3bt5umJAIAAADgH9aoKLV88IFaH28UF+vXmTO9GFHDVexya/6a3bp05md646t9+r/ZTn0myhai8b/vpFUPpOnyrmfI4qf1zwCgMiTHG7GMjIxyyb2ySWl/KReH2yXX0V/9Ewzqjevor6Xzep8U3upsP0VjVjZJ73Q6lZGR4adoAAAAAJyqydVXy56cXOvj8z/8rwq/+sqLETUshmHov98e1KCn12raf3fqeLGr6oPqwGKRhvdoq9V/7687+p+t8NAQn7YHALVFcrwRKygoMG2HSmoSEhg3pKYhIeVWgzVctVtgBQ2Hp8RhLrCGymqP9k8wZYTYoyWr+fejsLDQT9EAAAAAOJXFatUZ/5xQpzp+fXKqDI/HSxE1HN9nHdON/9qov72arl8O+/5vnJ5nNdeKOy/S9GEXqGVMYAzQA4DK+HdlRvhU2VHjNktgPQsJs1jkOuU7XIaLaVUavTKjxi2hYX4KpGKWkDAZHnfpdnExD2wAAACAQBHRrZuaXH21jr33Xq2Od+zYobx33lGza6/1cmSBKfd4sZ5e9aOWbvpFHh9PnyJJbZpF6B9XdNLg5ASmTwHQYJAcb8RsNptp22kE1hPykjKTmwVaohQ+EGLucgLtgUjZee/Dw1k9HQAAAAgkLR98QPmffCKjqKhWxx96+hnFXH65QqID4xusvuB0efTv9Zl67n+7lO/w7fQpkhQRFqI7+p+t29Payx4WGN9WB4DqCqyhxPCqqKgo07ZL0jG3u+Kd61me262yt2hLKInIxs4aVuYrdR6XPI7j/gmmDLfjuOQx/35ERkb6KRoAAAAAFQk74wy1+MtttT7enZur3Oef92JEgcMwDH2681f9/tm1euL97+slMf6HC9vo07GX6J7fdSQxDqBBIjneiCUlJZUbPb7D4ahk7/pVLo6QUIU2a+WfYFBvQpu1Kjd6vPjX3X6Kxsx58CfTts1mU1JSkp+iAQAAAFCZFqNGKbR1Qq2PP/zKv+X85RcvRuR/Px3K158XbtaoRV/p55yCqg+oo26JzfT2mL565vpuSmga4fP2AMBXSI43YjabTeeff76p7LviwEyO2+KTZAlhWpXGzhISJlv8Waaysklpf3H+ao4jOTm53MMlAAAAAP5ntdvVauzYWh9vlJTo1+nTvRiR/xwtdOrRFd/p8mfXae2P2T5vr1WTcD1z/QV6+46+6t6uuc/bAwBfIzneyKWkpJi2t9dyXjZv2+4wx2E742w/RYL6ZmvVwbTtPPCDnyIxcx740bRd9ncHAAAAQOCIueIKRdThM/vxT/6ngg0bvBhR/XK5T8wr3n/mGi36MlNuH6+4GR5q1T2XdtDqsf31hwvbymplwU0AjQMLcjZyvXr10oIFC0q31xQU6IjLpeah/vvRH3a5tKbA/DWvJomdFB0eHJejIUPOYqckyRZuk0XB9aGipF0nHd/239Ltwt2b5C7MU0hkU7/F5C7MU+HuTaaynj17+ikaAAAAAFWxWCxqNWGCMq+7TjJqlxj+9cmpSnr7LVn8+Pdxbazbla3HV+7Qj7/Wz/pNVyUnaMIVndS2OWsyAWh8GtYdADU2ZMgQ2Ww2OZ0nkrElhqG38/I0ukULv8X0dl6eSk758GKz2bTt5YcUFxfnt5jqk9Pp1NSpUyVJEyZMCLqpO7Kzu6tt23ml16TcLh3/ZpWa9h7mt5iOb18luX9brMZms2no0KF+iwcAAABA1SLO66qmf/iD8t5+u1bHF//4o46++aaa33CDlyPzjYycAk15f4c++f5QvbR3Xpsmmji4q3olxdZLewDgD0yr0sjFx8dr+PDhprLX847KVcsn63XlMgwtyztqKrv++uuDJjGOiq/J/C0fyvC4/RKP4XErf+uHpjKuSQSz6dOnq1OnTvJ4PP4OpcHJzc1VVFSUPvjgA3+HAqCe0GdWraSkRImJiZo3b56/Q0Ej1fL++2SNrP2I5uxnn5M7L8+LEXnfMUeJpry/Q5c981m9JMbjom2afm2y3r3zIhLjABo9kuNBYMyYMabt/SUlevnwYb/E8tLhXO0vKTGVlY0PjV/Zn7k771cd2/iWX2I5tvEtufN+NZVxTSJYHTt2TNOmTdP48eNltZ7+I8LevXs1efJk9erVS82bN1dcXJz69++vTz75pNrteTweTZ8+XUlJSbLb7UpOTtbSpUvr+ja83taiRYtksVgq/Hfw4MHS/Vq0aKHbbrtNjzzyiE/eA4DAUlGfmZubqxkzZigtLU3x8fFq1qyZUlNTtWzZshrV/dJLL6lz586y2+3q2LGjZs+e7Yu3UKe21qxZU2nfuOGUeZzDwsL0wAMPaMqUKXI4HL56GwhiofHxanHH32p9vPvoUeUE6MMbt8fQ0k2/aMCMNfrXugyVuH07yM0WYtVfL2mv1WP7a3jPRIUwrziAIEByPAikpqaWW1xwbm6OdhUX12scu4qLNTcnx1TWo0cP9e7du17jgP9VdE0e/eI1ObMz6zUOZ3amjn7+mqmMaxLB7OWXX5bL5dKIESOq3Pfdd9/VtGnT1KFDBz3xxBN65JFHlJ+fr0GDBmnhwoXVau+hhx7S+PHjNWjQIM2ePVvt2rXTjTfeqNdff72ub8UnbT322GNavHix6V+zZs1M+/ztb3/T119/rU8//dTL7wBAoKmoz1y/fr0eeughxcbG6uGHH9aUKVMUGRmpG264QZMmTapWvS+88IJuu+02de3aVbNnz1afPn10zz33aNq0aV5/D95o65577inXN3boYF6AfeTIkcrJydFrr71WSS1A3cT++c8KS0ys9fGHl7ym4p9/9mJEdbfh51wNnv25Jrz9jXILnD5v77IurbTqgTRNuKKzYuxhPm8PAAKFxTD8NL8G6tWGDRvUr18/01c+z7PbtTixncKrGB3oDcUej2765Rd9V/zbaBGr1aovv/wy6BKRwT7n+EkVXZO2MzrqjD9NkyXU9+fEcDl1cMk4OQ/+VFoWrNckcNIFF1yg5ORkLV68uMp9v/vuO7Vq1co0BVFxcbG6deum48ePa+/evac9fv/+/UpKStLtt9+uOXPmSJIMw9All1yijIwMZWZmKiQkpG5vyEttLVq0SCNHjtTmzZvVo0ePKts7//zzdeGFF+rf//63V+JH4OKeHtwq6jMzMjJktVp15plnlpYZhqGBAwfqiy++KJ1+qTJFRUVKTExUamqqVq5cWVp+0003afny5dq7d6+aN2/ulfjr2taaNWs0YMAA/ec//9GwYVWvHXP11VcrLy9Pa9eu9Ur8QFnHVq3S/rvvqfXxUZekqd0LL3gxotrZe7hQT37wvT789mDVO3tBpzNiNHFwF/XtENzTSnJPB4IXI8eDRGpqqh588EFT2bcOh8ZmHfD5/OMuw9CDWQdMiXFJGjt2LEnIIFbRNek8uEvZK6b7fP5xw+NW9orppsS4xDWJ4JaRkaHt27dr4MCB1dq/a9eu5ebmDw8P15VXXql9+/YpPz//tMe/++67KikpMU1jZLFYdMcdd2jfvn1av359zd9EPbSVn58vt/v0fdSgQYP03nvvifEHQONVWZ+ZlJRkSoxLJ/qba665RsXFxfq5ipGpq1evVm5ubrkp3u68804VFBTo/fff984b8HJb+fn5crlcp91n0KBB+vzzz3XYT9M7ovGLGThQkXX4LF/w2VodX7fOixHVzPFil6b/d6d+9/Rn9ZIYbx4ZpieuOU8r774o6BPjAIIbyfEg8thjj6lTp06msv8dP677D+xXsY8WESr2eHTfgf369PhxU3nnzp01efJkn7SJhqOia7Jo1wZlL58qw+Wbrw4aLqeyl09V0a4NpnKuSQS7L7/8UpLUvXv3OtVz8OBBRUZGKrKKhbG2bNmiqKgode7c2VTeq1ev0te9xVttDRgwQE2aNFFkZKSGDBmiXbt2VbhfSkqKjh49qu+++65ugQMIWDXtM0+uT1DVgt8n+6Oy31JJSUmR1Wr1et/ojbZGjhypJk2ayG63a8CAAfrqq68q3C8lJUWGYZSeO8DbLBaLWv1zglSHb0b/OvUpGWXWyPI1j8fQf77aqwEz12jemt1yuny7wG+o1aLRFyVpzd8H6KbUMxUaQloIQHCjFwwidrtdS5cuVUxMjKn8f8eP6+a9v3h9DvJdxcW66ZdfyiXGmzRpotdee012u92r7aHhqeyaLNq1QQeXjJcze49X23NmZ+rgknHlEuNck4C0c+dOSSdGPdbWTz/9pLffflvXXnttlVOiZGVlqVWrVrJYzAs9JSQkSJIOHDhQ6zi83VZkZKRuvfVWzZ07V++8847GjRun//3vf+rbt2+F08e0b99ekrRjxw4vvQMAgaYmfebhw4f14osv6uKLLy7tdyqTlZWlkJAQtWzZ0lRus9nUokULr/eNdWnLZrPp2muv1XPPPad3331XTzzxhL755htdfPHFFSbW6RtRH+znnqtm111X6+OdP/+sI0tPrEfidDr1ww8/6Ouvv9aGDRv09ddf64cffpDT6b1BPOl7DuuaeV/o729uV3a+79cEG3BuvD66P02PDO6iphHMKw4AkhTq7wBQv7p166aVK1fq8ssvN60W/63DoWF7MnVniziNio1VqKX2q1K7DEMvHc7VvNxclZT5Srndbtd7772nbt261bp+NC6VXZPOg7uU9cq9atbvRjXpfa0s1trPPWx43Dq28S0d/eI1yW3+yi/XJHBCbm6uQkNDFR0dXavjCwsLdd111ykiIkJPPfVUlfsXFRUpPDy8XPnJh1RFRUW1isMXbQ0fPlzDhw8v3b7mmmt0+eWXKy0tTVOmTNHzzz9v2v/kHL05ZRahBtB4VLfP9Hg8+tOf/qSjR49q9uzZVdZbVFRU6Ty3drvd631jXdrq27ev+vbtW7o9ZMgQDRs2TMnJyZowYYL++9//mvanb0R9ib/3Hh374AN5qpjirazDLpdWHz+ub8Y+qJ+eeVrf7thRYSLcZrPp/PPPV0pKinr16qWhQ4dW+a2Qsg4cLdJTH+7Uim3ee+B1OmfHR+mRwV3U/9yWVe8MAEGG5HgQSktL00cffaTBgweb5oQtMQw9m5Ot/+Qd1fVNm+mPTZsqNrT6l8hhl0tv5+VpWd5R7a/gq2gxMTFauXKl0tLSvPI+0HhUdk3K7dLRtf9W/raPFNPtCkUnD1JIZNNq1+suzNPx7auUv/VDufN+Lfc61yRQtezsbNMc29HR0eWSQW63WzfccIN27NihDz/8UK1bt66y3oiICBVX8I2lkw/JIiIiahzryWkLTmratKkiIiJ80tZFF12k3r1765NPPin32sm5xsuOVAcQfO6++27997//1b///W9dcMEFVe4fERFR6ahUh8NRq/6qsn7cF2116NBBQ4cO1dtvvy232236FhF9I+pLaGys4u4co0NPTatyX8MwtM3h0NKjR/Tf/PzfBndlZ1d6jNPpVHp6utLT07VgwQKNGTNG119/vcaMGaPevXuf9hovcrr1/Ge79cLa3XKU+Hb6FElqYg/V/YPO0U2pZyqM6VMAoEL0jkEqLS1Na9euLTffsyTtLynR0znZGvDzbt27f59eys3V+oIC5ZVZgCzP7db6ggK9lJure/fv04Cfd+vpnOwKE+OdOnXS2rVrSUKiUqe7Jt15v+roZ4u0b96flf3Ok8rb+KaKMrfK7TBP2eN2HFdR5lblbXxT2e88qX3z/qyjny2qMDHONQmYtWjRQi6Xq9xCmj179lRCQkLpv5kzZ5Y79i9/+YtWrlypRYsW6dJLL61WewkJCTp48GC5RSuzsrIkqVoJ9orqPPXfsmXLfNaWJCUmJla4sNyRI0ckVT23MICGq7I+81STJ0/WvHnz9NRTT+nmm2+uVr0JCQlyu906dOiQqdzpdCo3N7dW/VVl/bgv2pJO9I1Op1MFBQWmcvpG1KfYG2+U7ayzTrvPtqIiDd+zRzf+skfvHTtW7lvP1eV0OrV48WL16dNHPXv21MaNG8vtYxiG3t26X5fOWqPn/rfL54lxq0W6pc+Z+uzvAzSyXxKJcQA4DUaOB7Fu3bppy5YtmjRpkmbOnClPmUU5SwxDq44f16pT5gwPlRRmsajEMHT69ehPsFqtGjt2rCZPnsx8zqhSVdek3C4V/vilCn88ZSEna4gsIWEy3CWSx/wApyJck0DFTj6YysjIUHJycmn5kiVLTF+tPzln7El///vftXDhQj377LMaMWJEtdvr1q2bXnzxRX3//ffq0qVLafnJPyhrM9XRqlWrTNtdu3b1WVuS9PPPPys+Pr5ceUZGhiSVWwAUQONRWZ950ty5c/Xoo4/qvvvu0/jx46td78n+6KuvvtKVV15ZWv7VV1/J4/HUqr+qrB/3RVvSib7RbreX+5YRfSPqk8VmU8t/jNe+v91R7rVij0ezc3K06MhhVSdFHSrJZrHKaXiq/Bs4PT1dffv2Nf29sW3vUT22cofS9xypzVupsYs6xOmRwV107hkxVe8MACA5HuzsdrumTZumP/zhD7rrrruUnp5+2v1dOjGneHX06NFDc+bMUe/evb0QKYJFTa9JedwyqpEUl7gmgdPp06ePpBNJkVMTPf369av0mBkzZmjmzJn65z//qXvvvbfS/fLy8pSVlaWEhAQ1bXpiaqShQ4fq/vvv17x58zRnzhxJJ0ZVPf/882rTpo1pHtvqGjhwYIXlNWkrKytLeXl5OvvssxUWdmKhquzs7HJJ8A8++EDp6em65557yrWXnp6upk2blibnATQ+lfWZkrRs2TLdc889+tOf/qSnn3660joKCwv1yy+/KC4urnQ09aWXXqrY2FjNnz/flLCeP3++IiMjddVVV9U41sr68Zq0lZOTo5ycHLVr106RkZGSKu4bt23bphUrVuiKK66Q1WoeqZqeni6LxVJ67gBfi77kEkVddJEKPv+8tOx7h0N/zzqgnyuZUijMYlH/qCglR0Soa7hdXex2NTlleqBjbrd2OBz6rtih7UVFWlNQUG7Eucfj0fTp0/XO8nfVe/RkrTtcu/VcauqsFpF66KouGti5JdMXAUANkByHJCk1NVWbN2/Wxo0bNW/ePC1btqxWq3CHh4eXzrfWq1cvbsqoNa5JoH61b99e5513nj755BONGjWqyv3feecdjRs3Th07dlTnzp316quvml4fNGiQWrVqVbrvyJEjtXDhQt16662SpLZt2+q+++7TjBkzVFJSop49e2r58uVat26dlixZYpqndtGiReWOr4matDVhwgS98sorysjI0Fn/93Xsvn376sILL1SPHj3UtGlTff3113r55ZeVmJiof/7zn+XaW7Vqla6++mr6G6ARq6zP3LRpk2655Ra1aNFCv/vd77RkyRLTcX379i0dub1p0yYNGDBAkyZN0qOPPirpxJzjjz/+uO68805dd911uvzyy7Vu3Tq9+uqrmjJlimJjY0vrWrNmTbnja6Imbc2ZM0eTJ0/W6tWr1b9/f0nS9ddfr4iICPXt21ctW7bUjh07tGDBAkVGRla4MPOqVavUr18/tWjRosaxArVhsVjU6h/j9fPQ9ZLbrc2FhRqzf58Kyn47VVKbsDDd8H/rbjU/zbpbTUJClBoVpdSoKEkn1t16Jy9Pr1ew7tauH3/QT4+MVMthk2RPPM+7b+4UMeGhuvt3HfTnvmcpPDSk6gMAACYkx1HKYrEoNTVVqampmjVrllasWKHNmzcrPT1d27dvr3Sl7uTkZKWkpKhnz561WqkbqAzXJFC/Ro0apYkTJ6qoqKjKhdi2bdsmSdq1a1eFc+muXr26NDlemaeeekrNmzfXCy+8oEWLFqljx4569dVXdeONN5r2O/5/03slJCTU5O3Uqq2KXH/99Xr//ff18ccfq7CwUAkJCfrLX/6iSZMmlXuPO3fu1Lfffqtnn3221rECaBgq6jN37Nghp9Op7OzsCh80Lly4sNz0VGWNGTNGYWFhpZ99EhMT9cwzz5T7ho43+sbqtlWRa665RkuWLNHTTz+tY8eOKT4+Xn/84x81adIkdejQwbRvXl6ePv74Y82bN6/WsQK1Ed6hg5qPGKFVCxbo9n17VVxmlHeYxaI7W8RpVGysQmvxUDs2NFSjW7TQn2Nj9fLhw5qbm2MaSW44i3TojYlqOfwxryfILRbphp6JevCycxUXHe7VugEgmFiMsqtTARVwOp3KyMhQYWGhiouLFR4ersjISCUlJclms/k7vAbF6XRq6tSpkk6MUOT81Q7XJOB9eXl5at++vaZPn67Ro0f7O5xSw4cPV2ZmpjZt2uTvUKp03333ae3ataXTB6Bx454e3PzdZ44bN05Lly7VTz/9pPDwwE6MPfvss5o+fbp2795d5cNXwNvS163TJf37lxsxfp7drilnJKijF39/dhUX66GDWfrW4TCVW2wROuPGabK1Ov3DserqnRSriVd3UdfWTb1SH7inA8GMkeOoFpvNpnPPPdffYQCluCYB72vatKnGjRunGTNmaOTIkeXmi/UHwzC0Zs2actO2BKLc3Fy9+OKLeuONN0iMA0HA333m6tWr9cgjjwR8YrykpERPP/20Hn74YRLjqHcOh0M33X57ucT476KjNTOhtcK9/HvbMTxcixPb6cGsA/r0/77dIZ0YQZ69Yrpaj/x/soTWPunatnmEHrqys35/3hl81gAALyE5DgAASo0fP17jx4/3dxilLBaLDh065O8wqqVFixal0xwACA7+7DM3b97sl3ZrKiwsTL/88ou/w0CQmjhxonbu3Gkq+110tJ5p3aZW06hUR7jVqmdbt9H9B/brf6d8LnAd3qejny9R8/4ja1xnpC1Edw7ooNEXJckexrziAOBN/h8SBgAAAAAA4EUbNmzQrFmzTGXn2e2amdDaZ4nxk0ItFs1MaK2u4XZT+bFN76j4wA81quva7m21emx/3TmgA4lxAPABkuMAAAAAAKDRMAxDd911lzynTKcSZrFoyhkJXp9KpTLhVqueTEhQ2KmJeMOjw6vmqzpLv6Wc2Vzv3tlPs4ZfoFZN7FXuDwCoHZLjAAAAAACg0diwYYPS09NNZXe2iPPq4pvV0TE8XGNatDCVOQ/+JOdpRo8nNLXruRu66c2/9dEFic18HCEAgDnHAQAAAABAozFv3jzTdpuwMI2KjfVLLKNjW+jNvDztLykpLcvf8r7C23Qy7WcPs+qvaWfrb5ecrQgb06cAQH1h5DgAAAAAAGgUsrOz9cYbb5jKbmjazOfzjFcm1GLR9U2bmcoKdq6TuzCvdHvIBa316YP9df+gc0iMA0A9IzkOAAAAAAAahRUrVsjpdJZu2ywW/bFpUz9GJP2xaVPz3ONulwp3bVRy26Z6644++n8jLlTrZhH+CxAAghjTqgAAAAAAgEZh06ZNpu1LoqLUPNS/qY/Y0FD1j4rSquPHS8tSIg9r+Zh+slr9M6IdAHACI8cBAAAAAECjUHYhzuSIwBiRnWw3x3Hkl50kxgEgAJAcBwAAAAAADZ7T6dQ333xjKusabvdTNGZd7OY4tm/fbpr+BQDgHyTHAQAAAABAg5eRkVEu4Vw2Ke0vZeNwOp3KyMjwUzQAgJNIjgMAAAAAgAavoKDAtB0qqUlIiH+CKaNpSEi5Rd8KCwv9EgsA4DckxwEAAAAAQINXdtS4zRJYKY8wi3mO8eLiYj9FAgA4KbDuFAAAAAAAALVgs9lM207D46dIKlZiGKbt8PBwP0UCADiJ5DgAAAAAAGjwoqKiTNsuScfcbv8EU0ae2y1XmbLIyEi/xAIA+A3JcQAAAAAA0OAlJSWVGz2+w+HwUzRmZeOw2WxKSkryUzQAgJNIjgMAAAAAgAbPZrPp/PPPN5V9VxyYyfHk5ORyiXwAQP0jOQ4AAAAAABqFlJQU0/b2oiI/RWK23WGOo2ycAAD/IDkOAAAAAAAahV69epm21xQU6Iir7Gzf9euwy6U1BQWmsp49e/opGgDAqUiOAwAAAACARmHIkCGm6UpKDENv5+X5MSLp7bw8lRhG6bbNZtPQoUP9GBEA4CSS4wAAAAAAoFGIj4/X8OHDTWWv5x2V65TkdH1yGYaW5R01lV1//fWKi4vzSzwAADOS4wAAAAAAoNEYM2aMaXt/SYlePnzYL7G8dDhX+0tKTGVl4wMA+A/JcQAAAAAA0GikpqaWW/Bybm6OdhUX12scu4qLNTcnx1TWo0cP9e7du17jAABUjuQ4AAAAAABoNCwWi+bMmSOr9beUR4lh6KGDWSr2eOolhmKPR//MytKpS4FarVbNmTNHFoulXmIAAFSN5DgAAAAAAGhUUlNT9eCDD5rKvnU4NDbrgM/nH3cZhh7MOqDvih2m8rFjxzJqHAACDMnxADN9+nR16tRJnnp6mt2YlJSUKDExUfPmzfN3KI0W12f1pKamaty4cf4OAwAAAAhqjz32mDp16mQq+9/x47r/wH6fjSAv9nh034H9+vT4cVN5586dNXnyZJ+0CQCoPZLjAeTYsWOaNm2axo8fb/r6V2Xmz5+v6667Tu3atZPFYtGtt95ao/Y8Ho+mT5+upKQk2e12JScna+nSpbWM/vSmTJmiIUOGqFWrVrJYLHr00UdrdHxxcbHGjx+v1q1bKyIiQr1799aqVatM+4SFhemBBx7QlClT5HA4KqkJtVXZ9bls2TLddNNN6tixoywWi/r371/jul966SV17txZdrtdHTt21OzZs70Y+W/q63dm/Pjxmjt3rg4ePOilyAEAAADUlN1u19KlSxUTE2Mq/9/x47p57y9en4N8V3Gxbvrll3KJ8SZNmui1116T3W73ansAgLojOR5AXn75ZblcLo0YMaJa+0+bNk2ffvqpunbtqtDQ0Bq399BDD2n8+PEaNGiQZs+erXbt2unGG2/U66+/XuO6qvLwww9r8+bNuvDCC2t1/K233qqnn35af/rTn/Tcc88pJCREV155pT7//HPTfiNHjlROTo5ee+01b4SNU1R2fc6fP1/vvvuuEhMT1bx58xrX+8ILL+i2225T165dNXv2bPXp00f33HOPpk2b5q3QS9XX78zQoUPVpEkTvsUAAAAA+Fm3bt20cuXKconpbx0ODduTqQW5uXWeZsVlGHohN0fD9mSWm0rFbrfrvffeU7du3erUBgDANyyG4ePJtlBtF1xwgZKTk7V48eJq7b9nz57SEbDR0dEaNmyYFi1aVK1j9+/fr6SkJN1+++2aM2eOJMkwDF1yySXKyMhQZmamQkJCavtWysnMzNRZZ52lnJwcxcfHa9KkSdUePb5p0yb17t1bM2bM0NixYyVJDodD5513nlq2bKkvv/zStP/VV1+tvLw8rV271mvxe5PT6dTUqVMlSRMmTJDNZvNzRNVT2fW5d+9etWnTRlarVeedd57i4uK0Zs2aatVZVFSkxMREpaamauXKlaXlN910k5YvX669e/fWKuFemfr8nbn77rv13nvvKSM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## environment.yml

      
    Raw
  

              environment.yml
            
          
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## point.png

      
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              point.png
            
          
## square.png

      
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              square.png