{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Integrated plasmonic Vivaldi antenna with silicon waveguide\n",
        "\n",
        "**Running the entire notebook costs more than 1 FlexCredit.**\n",
        "\n",
        "Chip Multiprocessors (CMP) enhance efficiency by using multiple parallel\n",
        "cores. Efficient interconnection is crucial, leading to Network on Chip\n",
        "(NoC) and optical interconnections (ONoC) for better performance. ONoC\n",
        "faces issues like complexity and signal loss. Wireless connections\n",
        "(WiNoC) and on-chip wireless optical connections (OWiNoC) offer\n",
        "solutions by combining optical and wireless benefits, reducing\n",
        "complexity, and eliminating electro-optical conversion.\n",
        "\n",
        "In this notebook, we design a Vivaldi plasmonic antenna for on-chip\n",
        "optical communications. Known for high gain and wide bandwidth in the\n",
        "microwave range, the Vivaldi antenna can also perform well at optical\n",
        "frequencies with proper geometry adjustments. Its simple design, compact\n",
        "size, high gain, and large bandwidth make it ideal for optical wireless\n",
        "communications. The design principles are based on the work\n",
        "`Gaetano Bellanca, Giovanna Calò, Ali Emre Kaplan, Paolo Bassi, and Vincenzo Petruzzelli, \"Integrated Vivaldi plasmonic antenna for wireless on-chip optical communications,\" Opt. Express 25, 16214-16227 (2017).`\n",
        "[DOI: OE.25.016214](https://doi.org/10.1364/OE.25.016214).\n",
        "\n",
        "The design consists of three sections: the silicon waveguide, the\n",
        "coupling section, and the Vivaldi antenna as schematically shown below.\n",
        "We start by optimizing the coupling region geometry through coupled mode\n",
        "theory and normal mode analysis. Then the optimized coupler region is\n",
        "verified using FDTD. Finally we simulate the antenna structure and\n",
        "evaluate the antenna performance. Through this example, we demonstrate\n",
        "various features and functionalities in Tidy3D. They mainly include:\n",
        "\n",
        "1.  How to use the [waveguide\n",
        "    plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/)\n",
        "    for quick waveguide mode analysis on simple waveguide\n",
        "    configurations.\n",
        "\n",
        "2.  How to use the regular [mode solver\n",
        "    plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/ModeSolver/)\n",
        "    to perform mode solving on arbitrary waveguide cross sections.\n",
        "\n",
        "3.  How to [run mode solvers in\n",
        "    parallel](https://www.flexcompute.com/tidy3d/examples/notebooks/BatchModeSolver/)\n",
        "    to speed up the analysis.\n",
        "\n",
        "4.  How to turn on volumetric averaging scheme for metal structures for\n",
        "    enhanced accuracy.\n",
        "\n",
        "5.  How to [perform near field to far field\n",
        "    projection](https://www.flexcompute.com/tidy3d/examples/notebooks/FieldProjections/)\n",
        "    and evaluate antenna performance by computing the antenna\n",
        "    directivity.\n",
        "\n",
        "<img src=\"img/integrated_antenna.png\" width=\"500\" alt=\"Schematic of the integrated antenna\">\n",
        "\n",
        "For users who are interested in the physical principle behind the field\n",
        "projection, our [technical\n",
        "article](https://www.flexcompute.com/tidy3d/learn-center/technical-article/far-field-projection/)\n",
        "on this topic is a great learning source."
      ],
      "id": "2cdb0b1b-f69a-4e12-aca3-1673cdc44d65"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from tidy3d.plugins import waveguide\n",
        "from tidy3d.plugins.mode import ModeSolver"
      ],
      "id": "f126f4cb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Basic Simulation Parameter Setup\n",
        "\n",
        "First we define the basic parameters used throughout the notebook. The\n",
        "wavelength range of interest is centered around the 1550 nm telecom\n",
        "wavelength."
      ],
      "id": "e56bd7fa-24a7-420a-8b35-fbf896a2e812"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.55  # central wavelength\n",
        "freq0 = td.C_0 / lda0  # central frequency\n",
        "\n",
        "ldas = np.linspace(1.5, 1.6, 101)  # wavelength range\n",
        "freqs = td.C_0 / ldas  # frequency range\n",
        "\n",
        "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # width of the source frequency range"
      ],
      "id": "ce1722f3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Three materials are used in the simulations, namely silicon, silicon\n",
        "oxide, and silver. All three materials are contained in the [material\n",
        "library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)\n",
        "so users can use them conveniently."
      ],
      "id": "14c53610-98ad-414b-816b-53d7b01c7835"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "si = td.material_library[\"cSi\"][\"Palik_LowLoss\"]\n",
        "\n",
        "sio2 = td.material_library[\"SiO2\"][\"Palik_LowLoss\"]\n",
        "\n",
        "ag = td.material_library[\"Ag\"][\"JohnsonChristy1972\"]"
      ],
      "id": "559753cf"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Define fixed geometric parameters. The silicon waveguide thickness and\n",
        "silver waveguide thickness are fixed due to fabrication constraints. The\n",
        "slot width of the silver waveguide is varied in the\n",
        "[reference](https://doi.org/10.1364/OE.25.016214) but is fixed here for\n",
        "the sake of simplicity. We also define the boundary treatment used by\n",
        "the mode solves. The waveguide modes are open-boundary modes, so we use\n",
        "PML layers in the two transverse directions and leave extra space before\n",
        "the PML in the hand-built plasmonic and hybrid cross sections."
      ],
      "id": "1e070985-c587-4a98-b480-343d76a49944"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "h = 0.22  # silicon waveguide thickness\n",
        "t = 0.05  # silver waveguide thickness\n",
        "s = 0.03  # slot size of the silver slot waveguide\n",
        "\n",
        "mode_num_pml = (10, 10)  # PML layers in the two transverse directions for mode solves\n",
        "mode_plane_pad = 0.2  # extra transverse padding for plasmonic and hybrid mode solves"
      ],
      "id": "4b8017b5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Coupled Mode Theory and Normal Mode Analysis\n",
        "\n",
        "The coupling region comprises a silicon waveguide with a plasmonic slot\n",
        "waveguide positioned above it. The objective is to efficiently convert\n",
        "the silicon waveguide mode to the plasmonic waveguide mode. This can be\n",
        "achieved in two steps. First, we achieve phase matching by examining the\n",
        "effective indices of the silicon and plasmonic waveguides using various\n",
        "geometric parameters. When the effective indices of the silicon\n",
        "waveguide mode and the plasmonic waveguide mode are equal, maximum power\n",
        "conversion is realized. In the second step, we conduct mode analysis on\n",
        "the hybrid waveguide cross-section and determine the optimal coupling\n",
        "length based on the effective indices of the first and second normal\n",
        "modes. In this notebook, we will try to explain the design principles\n",
        "but for full detail, please refer to the referenced\n",
        "[paper](https://doi.org/10.1364/OE.25.016214).\n",
        "\n",
        "We start by defining a function to generate a silicon waveguide mode\n",
        "solver given the width of the silicon waveguide. Since the silicon\n",
        "waveguide is just a strip waveguide, we can use the [waveguide\n",
        "plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/)\n",
        "for convenience."
      ],
      "id": "2ccbd023-d707-4868-af61-94b31bd18db2"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define a function to create silicon waveguide mode solver\n",
        "def silicon_waveguide_mode_solver(w):\n",
        "    silicon_waveguide = waveguide.RectangularDielectric(\n",
        "        wavelength=lda0,\n",
        "        core_width=w,\n",
        "        core_thickness=h,\n",
        "        core_medium=si,\n",
        "        clad_medium=sio2,\n",
        "        grid_resolution=15,\n",
        "        mode_spec=td.ModeSpec(num_modes=1, target_neff=3, num_pml=mode_num_pml),\n",
        "    )\n",
        "\n",
        "    return silicon_waveguide.mode_solver"
      ],
      "id": "ceef6879"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To verify the setup, we can create an example mode solver and plot the\n",
        "cross section."
      ],
      "id": "81ed9f7b-1a14-46de-b471-1c059c9eda69"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "mode_solver_example = silicon_waveguide_mode_solver(w=0.5)\n",
        "mode_solver_example.plot_eps()\n",
        "plt.show()"
      ],
      "id": "82441ed3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The mode solving is done for the waveguide width from 220 nm to 500 nm.\n",
        "Instead of running the mode solving sequentially, we run them in\n",
        "parallel through a batch to maximize the time saving."
      ],
      "id": "f274bdce-31cf-4e5b-a2f6-00554f4c5479"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "w_list = np.linspace(h, 0.5, 8)  # range of the waveguide width to be studied\n",
        "\n",
        "# generate a dictionary of mode solvers\n",
        "silicon_waveguide_mode_solvers = {f\"w={w:.2f}\": silicon_waveguide_mode_solver(w) for w in w_list}"
      ],
      "id": "42498895"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"f850755428224cf991c9b1591f26c56a\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:03:26 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:03:33 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.030</span> for the whole batch.                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"f57e1f4688b7464b93a005468d86e063\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:03:37 UTC </span>Batch complete.                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        }
      ],
      "source": [
        "# run mode solvers in parallel\n",
        "batch = web.Batch(simulations=silicon_waveguide_mode_solvers)\n",
        "silicon_waveguide_batch_results = batch.run(path_dir=\"data\")"
      ],
      "id": "d31255f6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We are mainly interested in the effective index of the fundamental mode.\n",
        "However we can also visualize the mode profile. For example, here we\n",
        "visualize the mode profile from one of the mode solvers."
      ],
      "id": "e49cb726-c0dc-4d0d-9189-4d411966c2bb"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "silicon_waveguide_mode_solvers[f\"w={w_list[3]:.2f}\"].plot_field(\"E\", \"abs\")\n",
        "plt.show()"
      ],
      "id": "eb35f5af"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Extract and plot the effective index as a function of the waveguide\n",
        "width."
      ],
      "id": "c62dd1af-a143-4be2-a628-90633832d694"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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DANwNZRMAAACATCMyJkpjVszSVxuXpPnIXLE8hfVhuzfU4PGaJqQDANwLyiYA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          }
        }
      ],
      "source": [
        "# extract the effective index of the fundamental mode\n",
        "n_eff_silicon = [result.n_eff[0][0].values for _, result in silicon_waveguide_batch_results.items()]\n",
        "\n",
        "plt.plot(w_list, n_eff_silicon)\n",
        "plt.xlabel(\"Waveguide width (μm)\")\n",
        "plt.ylabel(\"Effective index\")\n",
        "plt.show()"
      ],
      "id": "2dcb322f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next we will perform the same analysis for the plasmonic waveguide. A\n",
        "few things to note here:\n",
        "\n",
        "1.  The slot mode has a strong field inside the small slot region and\n",
        "    near the metal surface. To ensure the effective index is accurate,\n",
        "    we need to use a fine grid resolution. Here we use the automatic\n",
        "    nonuniform grid with `min_steps_per_wvl=50` mainly for convenience.\n",
        "    Alternatively, one could consider using an overall coarser grid but\n",
        "    add a mesh refinement region around the slot and metal. This\n",
        "    approach can potentially reduce the total number of grid points and\n",
        "    thus save some computational cost.\n",
        "\n",
        "2.  By default, we apply\n",
        "    [staircasing](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Staircasing.html)\n",
        "    for metal structures. For enhanced accuracy, we can turn on\n",
        "    [volumetric\n",
        "    averaging](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.VolumetricAveraging.html)\n",
        "    for metal.\n",
        "\n",
        "3.  For the same reason, we use double precision instead of the default\n",
        "    single precision in the mode solver.\n",
        "\n",
        "4.  The transverse mode boundaries are modeled as open boundaries using\n",
        "    PML. The mode plane includes extra padding so the PML is not placed\n",
        "    directly against the plasmonic slot structure."
      ],
      "id": "37b6ffea-d440-48e0-bef0-e0a08a069740"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define a function to create plasmonic waveguide mode solver\n",
        "def plasmonic_waveguide_mode_solver(p):\n",
        "    # define the waveguide left to the slot\n",
        "    slot_left = td.Structure(\n",
        "        geometry=td.Box(center=(-(s + p) / 2, 0, 0), size=(p, t, td.inf)), medium=ag\n",
        "    )\n",
        "\n",
        "    # define the waveguide right to the slot\n",
        "    slot_right = td.Structure(\n",
        "        geometry=td.Box(center=((s + p) / 2, 0, 0), size=(p, t, td.inf)), medium=ag\n",
        "    )\n",
        "\n",
        "    # define mode solving plane size\n",
        "    mode_plane_size_x = 2 * (2 * p + s) + 2 * mode_plane_pad\n",
        "    mode_plane_size_y = 6 * t + 2 * mode_plane_pad\n",
        "\n",
        "    # define a simulation\n",
        "    sim = td.Simulation(\n",
        "        size=(mode_plane_size_x, mode_plane_size_y, 1),\n",
        "        grid_spec=td.GridSpec.auto(\n",
        "            min_steps_per_wvl=50, wavelength=lda0\n",
        "        ),  # fine grid resolution is used to ensure accurate result\n",
        "        structures=[slot_left, slot_right],\n",
        "        run_time=1e-12,\n",
        "        medium=sio2,\n",
        "        subpixel=td.SubpixelSpec(\n",
        "            metal=td.VolumetricAveraging()\n",
        "        ),  # enable volumetric averaging for metal for improved accuracy\n",
        "    )\n",
        "\n",
        "    # define a mode solver\n",
        "    mode_solver = ModeSolver(\n",
        "        simulation=sim,\n",
        "        plane=td.Box(size=(mode_plane_size_x, mode_plane_size_y, 0)),\n",
        "        mode_spec=td.ModeSpec(\n",
        "            num_modes=1, precision=\"double\", target_neff=3, num_pml=mode_num_pml\n",
        "        ),  # use double precision\n",
        "        freqs=[freq0],\n",
        "    )\n",
        "\n",
        "    return mode_solver"
      ],
      "id": "fbd4f7d3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Again we create an example mode solver and visualize it. More\n",
        "importantly, we inspect the grid to ensure resolution is sufficiently\n",
        "fine."
      ],
      "id": "a52094d8-d2f4-48bf-8411-1754445390fa"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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XXHIJfvCDH+CXv/wl/vSnP6FcLmPNmjU46KCD8KIXvQgveMELfB01hx9+eHt7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\n33248sor8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xOGGEfailjUBlggXX9O2xAmJa0hYnv+E0IIIaR40P6lfuofbn/WXT+dMMRI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\nFmGIiIiIiIiIiGTwXwZatCnVIrIoAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "mode_solver_example = plasmonic_waveguide_mode_solver(p=0.1)\n",
        "ax = mode_solver_example.plot()\n",
        "mode_solver_example.plot_grid(ax=ax, colors=\"r\")\n",
        "plt.show()"
      ],
      "id": "39506e51"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Here the mode solving is done for the waveguide width from 50 nm to 500\n",
        "nm."
      ],
      "id": "648d20ed-9f26-4cc8-ac3a-fc3adf24e38c"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"757eb41db2134d798da3dc936f77a1fa\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:03:46 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:03:53 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.038</span> for the whole batch.                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"02018978496c44b7844212475b8174c3\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:03:58 UTC </span>Batch complete.                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        }
      ],
      "source": [
        "p_list = np.linspace(0.05, 0.5, 9)  # range of the plasmonic waveguide width\n",
        "\n",
        "# create a list of mode solvers\n",
        "plasmonic_waveguide_mode_solvers = {\n",
        "    f\"p={p:.2f}\": plasmonic_waveguide_mode_solver(p) for p in p_list\n",
        "}\n",
        "\n",
        "# run mode solvers in parallel\n",
        "batch = web.Batch(simulations=plasmonic_waveguide_mode_solvers)\n",
        "plasmonic_waveguide_batch_results = batch.run(path_dir=\"data\")"
      ],
      "id": "8acd187a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the mode profile of a mode solver to ensure we are looking at the\n",
        "correct slot mode."
      ],
      "id": "f27a6936-3507-4274-b1f1-0b45ce9011b7"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "plasmonic_waveguide_mode_solvers[f\"p={p_list[3]:.2f}\"].plot_field(\"E\", \"abs\")\n",
        "plt.show()"
      ],
      "id": "c8cda99d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To help the analysis, we plot the effective indices of both the silicon\n",
        "waveguide and the plasmonic waveguide together, similar to Fig. 2(a) of\n",
        "the referenced [paper](https://doi.org/10.1364/OE.25.016214).\n",
        "\n",
        "From this plot, we can determine the silicon waveguide width and the\n",
        "plasmonic waveguide width given a target effective index. The target\n",
        "must be inside the overlapping effective index range of the two sweeps.\n",
        "In the interpolation below, we check this range explicitly instead of\n",
        "relying on `np.interp` to silently clamp to the nearest endpoint."
      ],
      "id": "f8fc5ec4-7f04-4c5f-96b4-7e6f74da48c4"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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kSZLSVE4OXHNNUDLdfDMsW1a067RoAY8+Cr/8At27WzKp7LBsksqiChWC52/L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\n9RX06RN8rbjGj4eOHaFpU7j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SJEmSVFSjR8Prr0efycgIls95oLUklawSebJp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\nAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# extract the effective index of the fundamental mode\n",
        "n_eff_plasmonic = [\n",
        "    result.n_eff[0][0].values for _, result in plasmonic_waveguide_batch_results.items()\n",
        "]\n",
        "\n",
        "# plot the effective indices of the silicon waveguide and plasmonic waveguide\n",
        "plt.plot(p_list, n_eff_plasmonic, c=\"red\", linewidth=3, label=\"plasmonic waveguide\")\n",
        "plt.plot(w_list, n_eff_silicon, c=\"blue\", linewidth=3, label=\"silicon waveguide\")\n",
        "\n",
        "plt.xlabel(\"w/p (μm)\")\n",
        "plt.ylabel(\"Effective index\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "10105681"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In fact, for optimal result, we cannot use an arbitrary target effective\n",
        "index. Since the plasmonic waveguide is lossy, we prefer to shorten the\n",
        "coupling region length as much as possible to minimize the absorption\n",
        "loss. Therefore, we need to analyze the optimal coupling length for\n",
        "different effective index values. This can be done by performing a\n",
        "normal mode analysis for the hybrid waveguide cross section. According\n",
        "to the normal mode analysis, the optimal coupling length is then given\n",
        "by $L_c = \\frac{\\lambda}{2(n_1-n_2)}$, where $n_1$ and $n_2$ are the\n",
        "effective indices of the first and second normal modes."
      ],
      "id": "7818fb85-39fc-4da0-b335-68e75be93873"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [],
      "source": [
        "def interp_checked(x, xp, fp, description):\n",
        "    xp = np.asarray(xp, dtype=float)\n",
        "    fp = np.asarray(fp, dtype=float)\n",
        "    sort_inds = np.argsort(xp)\n",
        "    xp_sorted = xp[sort_inds]\n",
        "\n",
        "    if not xp_sorted[0] <= x <= xp_sorted[-1]:\n",
        "        raise ValueError(\n",
        "            f\"{description} requires target {x:.4f}, but the available range is \"\n",
        "            f\"[{xp_sorted[0]:.4f}, {xp_sorted[-1]:.4f}].\"\n",
        "        )\n",
        "\n",
        "    return float(np.interp(x, xp_sorted, fp[sort_inds]))\n",
        "\n",
        "\n",
        "# define a function to create hybrid waveguide mode solver\n",
        "def hybrid_waveguide_mode_solver(n_eff):\n",
        "    w = interp_checked(\n",
        "        n_eff, n_eff_silicon, w_list, \"silicon waveguide interpolation\"\n",
        "    )  # determine the silicon waveguide width given the effective index\n",
        "    p = interp_checked(\n",
        "        n_eff, n_eff_plasmonic, p_list, \"plasmonic waveguide interpolation\"\n",
        "    )  # determine the plasmonic waveguide width given the effective index\n",
        "    g = 0.08  # gap size between the silicon waveguide and the plasmonic waveguide\n",
        "\n",
        "    # create the plasmonic waveguide structures\n",
        "    slot_left = td.Structure(\n",
        "        geometry=td.Box(center=(-(s + p) / 2, h / 2 + g + t / 2, 0), size=(p, t, td.inf)), medium=ag\n",
        "    )\n",
        "    slot_right = td.Structure(\n",
        "        geometry=td.Box(center=((s + p) / 2, h / 2 + g + t / 2, 0), size=(p, t, td.inf)), medium=ag\n",
        "    )\n",
        "\n",
        "    # create the silicon waveguide structure\n",
        "    silicon_waveguide = td.Structure(geometry=td.Box(size=(w, h, td.inf)), medium=si)\n",
        "\n",
        "    # mode solving plane size\n",
        "    mode_plane_size_x = 2 * (2 * p + s + w) + 2 * mode_plane_pad\n",
        "    mode_plane_size_y = 3 * (t + g + h) + 2 * mode_plane_pad\n",
        "\n",
        "    # create a simulation\n",
        "    sim = td.Simulation(\n",
        "        size=(mode_plane_size_x, mode_plane_size_y, 1),\n",
        "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=50, wavelength=lda0),\n",
        "        structures=[silicon_waveguide, slot_left, slot_right],\n",
        "        run_time=1e-12,\n",
        "        medium=sio2,\n",
        "        subpixel=td.SubpixelSpec(metal=td.VolumetricAveraging()),\n",
        "        symmetry=(-1, 0, 0),  # use symmetry that is compatible with the fundamental TE mode\n",
        "    )\n",
        "\n",
        "    # create a mode solver\n",
        "    mode_solver = ModeSolver(\n",
        "        simulation=sim,\n",
        "        plane=td.Box(size=(mode_plane_size_x, mode_plane_size_y, 0)),\n",
        "        mode_spec=td.ModeSpec(\n",
        "            num_modes=2, precision=\"double\", target_neff=3, num_pml=mode_num_pml\n",
        "        ),  # solve for 2 modes\n",
        "        freqs=[freq0],\n",
        "    )\n",
        "\n",
        "    return mode_solver"
      ],
      "id": "4ae846d2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Create an example mode solver to visualize the setup. We correctly see\n",
        "the silicon waveguide with the plasmonic waveguide on top of it."
      ],
      "id": "2e1d2a17-e701-4601-99aa-916d956617c4"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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eDdM0MXnyZGyyySbYb7/9sP/++1edQE6ePBkvvvgiHnzwQTzxxBN49913kU6n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lskMAAPBn9ff3Z3Z2NuPj47ly5cqK83PnzqVer+f48eN5+PDhnw/4E1qt\nVg4dOpSFhYXUarVcvHix7EgAwFdYxwMAWIfGx8dTqVQyNjaWjx8/lh3nl0xPT2dhYSHd3d1fXJYO\nAPy3WMcDAFiHenp6Uq/X8/bt27x58+ar91D9LXbs2JFqtZq+vr5UKpWy4wAA36CEAgBYp1a7f+pv\ncurUqbIjAAA/wDoeAAAAAIVzMTkAACs0Go28ePEiXV1dOXPmTNlxAID/ASUUAAAAAIWzjgcAAABA\n4ZRQAAAAABROCQUAAABA4ZRQAAAAABROCQUAAABA4ZRQAAAAABROCQUAAABA4ZRQAAAAABROCQUA\nAABA4ZRQAAAAABROCQUAAABA4ZRQAAAAABROCQUAAABA4ZRQAAAAABROCQUAAABA4ZRQAAAAABRO\nCQUAAABA4ZRQAAAAABTuH4NdaVQwQ8ReAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "mode_solver_example = hybrid_waveguide_mode_solver(n_eff=2.2)\n",
        "mode_solver_example.plot()\n",
        "plt.show()"
      ],
      "id": "03bed3a0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we perform mode solving for a range of target effective indices from\n",
        "2.17 to 2.44, which lies inside the overlapping range of the silicon and\n",
        "plasmonic waveguide sweeps."
      ],
      "id": "6b99bc48-0f7f-4238-b1bb-e4475da6da91"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"6a77b991129a434fa5a4f2b8e9b9eed7\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:04:56 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:03 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.034</span> for the whole batch.                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"0790b502f687412d84b60d664be0d5a7\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:07 UTC </span>Batch complete.                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        }
      ],
      "source": [
        "n_eff_list = np.linspace(2.17, 2.44, 8)  # effective index range\n",
        "\n",
        "# create a list of mode solvers\n",
        "hybrid_waveguide_mode_solvers = {\n",
        "    f\"n_eff={n_eff:.2f}\": hybrid_waveguide_mode_solver(n_eff) for n_eff in n_eff_list\n",
        "}\n",
        "\n",
        "# run mode solvers in parallel\n",
        "batch = web.Batch(simulations=hybrid_waveguide_mode_solvers)\n",
        "hybrid_waveguide_batch_results = batch.run(path_dir=\"data\")"
      ],
      "id": "2eea363d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Compute and plot the coupling length as a function of the effective\n",
        "index. The coupling length is found to increase with the effective\n",
        "index. Therefore, a lower effective index is preferred to minimize\n",
        "absorption loss, provided it is still inside the phase-matching range of\n",
        "the silicon and plasmonic waveguide sweeps."
      ],
      "id": "6feae856-8300-4c4f-9d86-05a765cfbeef"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Up0/yxz8mTz4pJFWZk0kAAABA9bz/fnLsscUF2dOnz/37O3dOvvvd5Oiji4u2qToxCQAA\nAGh9M2Ykf/5zEYHee695M7bfPvnd75IvfKHcvTFXxCQAAACgdd16a3LYYclTTzXv/auumpx4YrLZ\nZuXui2ZxZxIAAADQOl54oThNtPnmzQtJiyySnH568q9/CUntiJNJAAAAQLkaG5Nf/So55ZTi8ba5\n1aVLcsghyU9+kvTuXfr2aBkxCQAAACjHjBnJGWckxxyTjB3bvBk77ZT83/8lyy9f7t4ojZgEAAAA\ntNxNNxX3Ij3zTPPev/rqyUknJZtsUuauaAXuTAIAAACa79lnk222SbbaqnkhqV+/5Oyzk0cfFZLm\nEU4mAQAAAHNv7NjkF79ITj01mTlz7t/ftWty6KHJj3+cLLRQ+fuj1YhJAAAAQOWmTy8C0i9+UVy0\n3Ry77JL89rfJssuWuzeqQkwCAAAAPl9TU3L99cnhhyfPP9+8GWutVdyL9OUvl7o1qsudSQAAAMBn\ne/rp4k6kbbdtXkhafPHknHOShx8WkuYDTiYBAAAAn+y995JjjknOOCOZNWvu39+tW3LEEckPf5j0\n7Fn+/mgTYhIAAADwcdOmJX/8Y/LLXybvv9+8GbvtlvzmN8nSS5e7N9qcmAQAAAAUmpqSa64pThO9\n9FLzZqyzTnLiicn665e7N9oNMQkAAABInnwyOfTQ5Pbbm/f+JZcsTiLtvntS64rm+VmHi0l//vOf\n8957733u61ZdddVsu+22VdgRAAAAtKF3302OPjo5++zm3Yu04ILFnUhHHJH06FH+/mh3OlxMOvHE\nE/P0009/7uv22GMPMQkAAID519SpyR/+kBx7bDJhQvNmfP3rya9/nfTvX+7eaNc6XEyabdVVV83Q\noUM/9edrrrlmFXcDAAAAVdLUlFx5ZXLkkcnLLzdvxnrrJSedVNyPRIfTYWPS4MGD85vf/KattwEA\nAADV869/JYccktx9d/Pev9RSyf/9XzJ8eFJTU+rWmHe4EQsAAADmd2+9ley9dzJ4cPNCUo8eya9+\nlTz/fDJihJDUwXXYk0kAAAAw35syJTnxxOS445KJE5s345vfTP7f/0uWWKLUrTHvEpMAAABgftPU\nlFx+eXEv0muvNW/GhhsWIWrIkHL3xjyvw8ak8ePH55prrsmrr76ampqa9OvXL+uuu26WXnrptt4a\nAAAANN8jjxT3Iv3zn817/4ABye9+l+y8s8fZ+EQdNiZdddVVueqqq/7n1zfaaKP83//9X770pS81\na25jY+On/mzcuHHNmgkAAACf6403kqOOSs47r3nv79kz+clPihDVrVupW2P+0iFj0gILLJDBgwdn\nwIABWWyxxdLY2Jh77703L730Uu6+++5suOGGOe+887LbbrvN9ez6+vpW2DEAAAB8ikmTkt//PvnN\nb4qv51ZNTfLtbyfHHpsstlj5+2O+U9PU1NTU1puopn/84x/ZZJNN0qtXr//52SWXXJJ99903EydO\nzAILLJAnn3wygwYNmqv5NRUeAWxoaEhdXd1czQYAAIAPNTUll1yS/PCHyejRzZux8cbJSScla6xR\n5s4oSWNj44eHVtpTR+hwMenz/P3vf89OO+2UJNlrr71yzjnnzNX7P+8xt4EDByZpX78JAAAAmMc8\n8EBy6KHF/22OgQOT449PdtzRvUjtWHuNSR3yMbfPsuOOO2bVVVfNv//979x4441z/f728l8sAAAA\n86HRo5Mf/Si56KLmvX+hhZKjj06++92ka9dy90aHUdvWG2iPBg8enCR55513MmXKlDbeDQAAAB3e\nBx8kxxyTDBrUvJBUW5vsv3/y4ovJEUcISbSIk0mfoLZ2TmPzFCAAAABtZtas5MILi9NIb77ZvBmb\nbpqceGLyxS+Wuzc6LDHpEzzxxBNJkj59+mTBBRds490AAADQId13X3LIIcnDDzfv/SusUHzK27bb\nuheJUnnM7b/cdttteeyxx5Ikm2++eRvvBgAAgA7ntdeSESOSDTZoXkjq3Ts54YTk3/9OtttOSKJ0\nHSom3XPPPRn9GR+XeOutt2b48OFJikfdfvSjH1VrawAAAHR0EyYkP/lJcS/SpZfO/fs7dUoOOih5\n6aXik94WWKD8PUI62GNuf/rTn3LppZdm9dVXz0orrZTFFlssffr0SUNDQ+699948/J/iW1tbm9NP\nPz2rr756G+8YAACA+d6sWcm55yZHHZW8/XbzZmyxRXEaaZVVyt0bfIIOFZM23njjPPLII3niiSc+\nvBfpv62zzjr53e9+l4022qjKuwMAAKDDufvu4hTRf65bmWsrrljci7T11h5no2pqmjrgx5W99NJL\n+de//pW33norY8aMyYILLpj+/ftn3XXXzQorrNBq6zY2Nqa+vj5J0tDQkLq6ulZbCwAAgHbs5ZeT\nI49M/va35r2/ri75xS+SAw5IunQpd2+0G+21I3Sok0mzLb/88ll++eXbehsAAAB0NOPHJ8cdl5x4\nYjJt2ty/v3Pn4l6kn/0s+U9kgGrrkDEJAAAAqmrmzOQvf0l++tPk3XebN2Po0OT444tH26ANiUkA\nAADQmu64IznkkOTJJ5v3/pVXLi7X3nLLUrcFzVXb1hsAAACA+dJLLyU77ZR89avNC0l9+iSnnpo8\n8YSQRLviZBIAAACUady45Nhjk5NPTqZPn/v3d+mSfPe7ydFHJwsvXPbuoMWqGpOmTZuWp59+Ou++\n+27ee++9TJkyJX379k3fvn2z/PLLZ9FFF63mdgAAAKA8M2YkZ59dRKAxY5o3Y4cdkt/9LmnFTxqH\nlmr1mPTqq6/mwgsvzO233577778/kydP/tTXrrTSStl4442zww47ZMstt0xNTU1rbw8AAABa7pZb\nkkMPTZ5+unnv/+IXi09423TTcvcFraCmqampqTUG33DDDfnTn/6UG264IbNmzZrr9w8cODD7779/\n9t1339TV1bXCDquvsbEx9f/56MaGhob55j8XAABAh/X888kRRyTXXtu89/ftWzwSt/feSadO5e6N\neV577Qilx6RHHnkkhx56aO69994Pf61nz55Ze+21s+6662bVVVdNfX19+vTpk65du2bs2LFpaGjI\nqFGj8sADD+SBBx7IqFGjPnxvfX19jjnmmHznO99J587z9hVP7fU3AQAAAHOpsTH55S+TP/6xeLxt\nbi2wQPEJb0cdlfTuXfr2mD+0145Qakw6/PDDc+KJJ6apqSndu3fPjjvumD333DObb755Os1FYX3p\npZdywQUX5IILLsjIkSOTJIMGDcptt92WJZdcsqztVl17/U0AAABAhaZPT844IznmmKShoXkzhg1L\n/u//kuWWK3dvzHfaa0eoLXPYXXfdlbq6uvy///f/8vbbb+fCCy/MVlttNVchKUmWX375/PznP89L\nL72Um2++Oeutt16ef/75vPXWW2VuFwAAACp3443J6qsXn7TWnJC0xhrJnXcmf/ubkMQ8rdTnxg4/\n/PAMHTo0Cy20UGkzN99882y++ea54YYbfNobAAAA1ffMM8nhhxcxqTn69UuOOy7Zay/3IjFfaLUL\nuPlf7fV4GgAAAJ9g7Njk5z9PTjstmTlz7t/ftWty2GHJj3+c9OpV+vaY/7XXjjBv32gNAAAAZZs2\nLTn11OQXv0jGjWvejF13TX7722TAgDJ3Bu2CmAQAAABJ0tSUXHdd8UjbCy80b8aQIcmJJyYbblju\n3qAdaZOYNH369IwaNSrjx4/PzM85Krjyyiune/fuVdoZAAAAHdK//108knbLLc17/+KLJ7/5TfL1\nrye1pX7WFbQ7VY1JV111VU4++eT885//zPTp0yt6z8MPP5whQ4a08s4AAADokN57L/nZz5Izz0xm\nzZr793frlvzgB8mRRyY9e5a/P2iHqhaTDjzwwJx++unVWg4AAAA+3bRpySmnJL/8ZTJ+fPNm7L57\n8utfJ0svXe7eoJ2rSkz6+9///mFIGjhwYPbaa6+svvrqqaurS+3nHP9bccUVq7FFAAAAOoKmpuTq\nq4vTRC+91LwZX/pScS/SeuuVuzeYR1QlJl188cVJkg022CC33HJLFlxwwWosCwAAAHM88URy6KHJ\nHXc07/39+xf3Iu22m3uR6NCqEpNef/31JMkPfvADIQkAAIDqeued5Oijk7PPLk4mza3u3ZMf/jA5\n4ojia+jgqhKT+vXrlyTp27dvNZYDAACAZMqU5A9/SP7f/0smTGjejD33TI47rjiVBCRJqnIub+ON\nN06SPPPMM9VYDgAAgI6sqSn529+SlVdOfvSj5oWk9ddPHnwwOe88IQn+S1Vi0t57753+/fvnxBNP\nzKRJk6qxJAAAAB3RY48lm2ySfO1rySuvzP37l146ueSS5N57k3XWKX17MD+oSkzq2bNnbr755jQ2\nNmbTTTfNk08+WY1lAQAA6Cjeeiv59reTIUOSu++e+/f36JEce2zy3HPJ8OFJTU35e4T5RFXuTEqS\nlVZaKU8//XRGjBiR1VdfPYMGDcoXvvCFdP+cy8uOO+64DBw4sEq7BAAAYJ4ycWJy8snFvUYffDD3\n76+pSb75zeJepcUXL317MD+qWkwaM2ZM9t1339xyyy1Jkueffz7PP//8577viCOOEJMAAAD4uDff\nTE45JTn99GTcuObN+PKXkxNPTAYPLnVrML+rSkz64IMPsv766+fFF18sFu3cOQMGDEhdXV1qaz/7\nSbuePXtWY4sAAADMC556Kvn975OLLkqmT2/ejGWXTX73u2TYMI+zQTNUJSb96U9/yosvvpguXbrk\nt7/9bfbee+8stNBC1VgaAACAeV1TU3LrrUVEuumm5s/p1Sv5yU+S738/6datvP1BB1OVmHTPPfck\nSX70ox/l0EMPrcaSAAAAzOumTSs+We33v09a8kFONTXJPvskv/pV0q9fefuDDqoqMWnChAlJks03\n37waywEAADAvGzcuOfPM5A9/KO5GaolNNinuRVpjjRI2BiTJZ19YVJLll18+STJlypRqLAcAAMC8\n6NVXk0MPTZZaKvnhD1sWkpZbLrnqquT224UkKFlVYtI3vvGNJMn1119fjeUAAACYlzzySDJiRLL8\n8slJJyUTJzZ/Vu/eyfHHJ08/ney4owu2oRVUJSZttNFGOeSQQ3LqqafmppZclgYAAMD8Ydas5B//\nKB5DW3vt5NJLk5kzmz9v6aWTE05IRo1KDj886dq1tK0CH1eVO5PGjh2bI488Mt27d8/222+f3Xbb\nLcOHD8+gQYPSvXv3z3zvIossks6dq7JNAAAAWtuUKcn55xeXaj//fMvnDR6cHHFE8rWvJf7ZEaqi\npqmpqam1FxkyZEgeffTRZr334YcfzpAhQ0reUdtobGxMfX19kqShoSF1dXVtvCMAAIAqGTMmOfXU\n5I9/TN57r+Xztt22iEgbbeRRNuZb7bUjyLYAAAC0nhdeKD5N7ZxzilNJLdG1a7LnnslhhyUrrVTK\n9oC5V5WYdNxxx6WhoaFZ711uueVK3g0AAACtqqkp+ec/i0fZrr66+L4l+vRJvvOd5KCDkn79ytkj\n0GxViUlbbLFFNZYBAACgLc2YkVx1VRGRHnyw5fOWX744hbTXXsnn3LcLVI/H3AAAAGiZiROTv/61\neJztlVdaPm+DDYpPZNt++6RTp5bPA0rVbmPS9773vdTW1uakk05q660AAADwSd56KznllOT005PG\nxpbNqq1Nhg0rItK665azP6BVtMuYNHXq1Fx99dUZPXp0fvKTn6Rv375tvSUAAABm+/e/i0fZLrww\nmT69ZbO6d0++/e3kkEMSd+bCPKEqMWmnnXbKU089VfHrx4wZk/fffz9J8dF3YhIAAEAba2pKbrut\niEg33tjyef36Jd/7XnLAAcl/PvocmDdUJSaNHj06I0eOnOv3rbPOOllhhRVaYUcAAABUZPr05NJL\nk+OPT554ouXzVl45OeKIZPfdk65dWz4PqLqqxKTdd989G2644We+ZurUqRk5cmTuvPPOTJ8+PcOH\nD88555yT2traamwRAACAj3r//eTMM5M//CF5442Wz9t00+I+pK22SmpqWj4PaDM1TU1NTW29iY96\n9dVXs+222+aZZ57JFVdckWHDhrX1lkrT2NiY+v8c32xoaEhdXV0b7wgAAOC/vPZaEZDOOqv4lLaW\n6Nw5GT68iEhrrlnO/qADaa8dod0d+xkwYEDOP//8NDU15cgjj2zr7QAAAHQMjz5aPHq23HLJiSe2\nLCT16lU8yvbyy8kFFwhJMJ9pl5/mtuaaa2aJJZbIyJEjM2rUqCy99NJtvSUAAID5z6xZyQ03FPch\n3Xlny+cttVTxqWz77JMstFDL5wHtUruMSUlSX1+fN998M+PHj2/rrQAAAMxfpkwpTgz9/vfJc8+1\nfN6aaxYnkXbZJenSpeXzgHat3cak0aNHp7a2Nv3792/rrQAAAMwfxoxJTjst+eMfk3ffbfm8bbYp\nItImm7hUGzqQdhmTrr/++rz//vsZOnRoFl544bbeDgAAwLztpZeKe5D++tdk8uSWzVpggWTPPZPD\nDktWXrmc/QHzlHYVkyZOnJjrr78+3/ve97LiiivmtNNOa+stAQAAzLvuu6+4D+nvf09a+kHe9fXJ\nd76THHRQsthipWwPmDdVJSZtttlmefzxxz/zNU1NTWloaPjw+0mTJmXNz7jx/7bbbsvqq69e1hYB\nAADmDzNnFvHo+OOTBx5o+bzllksOPTT55jeTHj1aPg+Y51UlJo0bNy5jx46dq/dMmDDhM38+ffr0\nlmwJAABg/vLBB8VjbCeemLz8csvnrbdecR/SDjsknTq1fB4w36hKTNpvv/3y5ptvljpziSWWKHUe\nAADAPOmtt4oLtU87LWlsbNmsmppkp52Sww9P1l+/nP0B852qxSQAAABK9PTTyQknJBdckEyb1rJZ\nCy6YfPvbySGHJMsvX8r2gPlXu7qAGwAAgM/Q1JTccUdxH9INN7R8Xr9+ycEHJwcemPTp0/J5QIcg\nJgEAALR306cnl11WRKTP+XCjiqy0UvEo2x57JN26tXwe0KGISQAAAO3V++8nZ52V/OEPyeuvt3ze\nV75SXKq91VZJbW3L5wEdUql/97j22mszderUMkd+6IEHHsgbb7zRKrMBAADaldGji+iz1FLJD37Q\nspDUqVOy++7Jo48mt9+ebLONkAS0SKl/B/n5z3+eFVZYIWeccUamT59eysxHHnkkQ4cOzXrrrZe3\n3nqrlJkAAADt0mOPFY+eLbts8vvfJxMmNH9Wr17JYYclL7+cXHhhstZa5e0T6NBKjUlrrbVWRo8e\nnQMOOCBLLrlkvv/97+eRRx6Z6zljxozJKaecknXWWSdrr712rr/++vTv3z+LLrpomdsFAABoe7Nm\nJddfn3z1q8ngwclFFyUzZzZ/3pJLJr/7XXG66fe/T5Zeury9AiSpaWpqaipz4G233ZbDDjssTz75\n5Ie/1r9//6y77rpZd911s/LKK6dPnz6pr69P165d09DQkIaGhowaNSoPPfRQHnzwwTzxxBOZMWNG\nkqRnz5458sgjc8QRR2TBBRcsc6tV19jYmPr6+iRJQ0ND6urq2nhHAABAm5kypTgx9PvfJ88+2/J5\na6xRPBq3665Jly4tnwe0ufbaEUqPSUkya9asXHLJJfnTn/6U++67r1kzFltssey99945+OCDs9hi\ni5W8w7bRXn8TAAAAVTR2bHLaackf/5i8807L5229dfHJbF/9alJT0/J5QLvRXjtCq8Skj3ryySdz\n3nnn5Y477sgTTzyRmZ9xXLN///7ZeOONs+OOO2aHHXZIl/msprfX3wQAAEAVjByZnHhi8pe/JJMn\nt2zWAgsUdysddliy6qrl7A9od9prR2j1mPRR48ePz+OPP5533nkn7733XqZNm5ZFFlkkffv2zQor\nrJCBAwdWayttor3+JgAAAFrR/fcnxx+fXHVV0tJ//KqrSw48MDn44GTxxcvZH9ButdeO0Lmaiy20\n0ELZaKONqrkkAABA9c2cmVx9dRGR7r+/5fOWXbY4hfStbyU9erR8HkALVDUmAQAAzNc++CA555zi\ncbaRI1s+70tfKi7V3mmnpFOnls8DKIGYBAAA0FLvvFNcqH3qqUlDQ8tm1dQkO+xQRKT113epNtDu\niEkAAADN9cwzyQknJOefn0yb1rJZ3boVj7Edemiywgrl7A+gFYhJAAAAc6OpKbnzzuI+pOuvb/m8\nvn2T7363uFh7kUVaPg+glYlJAAAAlZg+Pbn88uT3v08ee6zl81ZcMTn88OTrXy9OJQHMI8QkAACA\nzzJ+fHL22clJJyWjR7d83sYbF/chbbNNUlvb8nkAVSYmAQAAfJLRo5OTT07OPLMISi3RqVOyyy7F\nSaQhQ8rZH0AbEZMAAAA+6l//Kh5lu/TSZMaMls3q2TPZd9/k+99PllmmnP0BtDExCQAAoKkpufHG\n4lLt229v+bwll0y+971kv/2ShRdu+TyAdkRMAgAAOq6pU5OLLipOIj39dMvnrbZacR/S8OHJAgu0\nfB5AOyQmAQAAHU9DQ3L66ckppyRvv93yeVtuWUSkTTdNampaPg+gHWvTmDRr1qzMmjXrM1/TubPe\nBQAAlGTkyOJT2f7yl2TSpJbN6tIl2WOP5LDDki9+sZTtAcwLqlpqXnzxxZx22mm544478tJLL2Xi\nxImf+56HH344Q3zaAQAA0BIPPFDch3TVVcnn/Avtz7XwwsmBByYHH5wssUQp2wOYl1QtJp177rnZ\nf//9M3Xq1GotCQAAdGQzZybXXFPch/TPf7Z83oAByaGHJt/+dvEpbQAdVFVi0tNPP5299947M2fO\nTOfOnbPVVltl7bXXTp8+fdKpU6fPfO8yPj4TAACYG5MmJeeem5xwQvLSSy2ft/bayQ9+kOy0U+Ia\nDoDqxKSzzjorM2fOTL9+/XLrrbdm1VVXrcayAABAR/LOO8mf/pScemoydmzLZtXUJNtvnxx+eLLh\nhi7VBviIqsSkJ598Mknys5/9TEgCAADK9eyzxSmk889PWnqtRrduyTe/WTzO9oUvlLI9gPlNVWJS\nU1NTkmSNNdaoxnIAAMD8rqkpueuu4lLt665r+by+fZODDkq+853iawA+VW01Fhk0aFCSZNy4cdVY\nrll+97vfZcCAAR/+9frrr7f1lgAAgP82Y0ZyySXFPUZf+UrLQ9IXvpCccUby2mvJMccISQAVqEpM\n2meffZIk11xzTTWWm2vPPPNMfvrTn+a111778K8ZM2a09bYAAIDZxo9PTjwxWW65ZLfdkkcfbdm8\njTYqPunt2WeT/fZLFlywnH0CdABViUlDhgzJMccckz//+c/5xz/+UY0lKzZz5sx861vfyrRp07Lo\noou29XYAAICPeuml5PvfT/r3Tw47LBk1qvmzamuTXXdNHnyweERuu+2KXwNgrpR6Z9LYsWMzffr0\nT/zZAQcckNra2uy8884ZMWJERowYkRVXXDHdu3f/zJmLLLJIOrfix2+ecMIJeeihh7LWWmvlq1/9\nao4//vhWWwsAAKhAU1Ny223JH/5QPMb2nztYm61Hj2SffYooteyy5ewRoAOraWpq6d+Z5xgyZEge\nbelx0//y8MMPZ8iQIaXOnO2FF17I6quvnunTp+fBBx/M5Zdfnt/+9rdJkldeeSUDBgwodb3GxsbU\n19cnSRoaGlJXV1fqfAAAmKdNmpRccEFy8snJ00+3fN7iixcBab/9En/2BuZB7bUjdNgznbNmzcre\ne++dKVOm5Hvf+14GDx7c1lsCAICOafTo5Ec/SpZaKtl//5aHpC9+MTnnnOTVV5Mf/lBIAihZqc+P\nHXfccWloaChzZJZbbrlS5812yimn5N57783SSy+dX/3qV62yBgAA8CmampL77iseZbvyymTmzJbP\n3Hzz5Igjiv9bU9PyeQB8olJj0hZbbFHmuFbz8ssv5yc/+UmS5NRTT02PHj3aeEcAANBBTJ2aXHZZ\nEZHKuCKjS5fi090OOyxZffWWzwPgc7XezdbtVFNTU/bZZ5988MEH2WWXXTJ06NBS5zc2Nn7qz8aN\nG1fqWgAAMM94553k9NOT004rvm6p3r2TAw5IvvvdZMklWz4PgIpVJSa9/vrrmTJlSpZaaql07dq1\n1d5TiTPOOCN33HFHevfunZNPPrm0ubPNvhgLAABI8thjxSmkSy5Jpk1r+bwVVki+971kr72SXr1a\nPg+AuVaVC7h33HHHrLDCCnnqqada9T2fZ/To0TnyyCOTJL/97W+z2GKLlTYbAAD4jxkzkiuuSL78\n5WTw4OS881oekrbYIrnuuuS555KDDxaSANpQh3rMbd99982ECROywQYbZL/99muVNT7rAvJx48Zl\n4MCBrbIuAAC0uYaG5Oyzkz/9KRk1quXzundPvvGN4lG2lVdu+TwAStFuY9KsWbOSJJ06dSpl3lVX\nXZWbbropXbp0yZlnnpmaVvp0hzofOwoAQEfzzDPJyScn55+fTJrU8nlLL12cPtp778Q1EgDtTruM\nSbNmzcro0aOTJL179y5l5htvvJEkqampyTbbbPOJr/no5dkbbrhhOnfunPr6+jz22GOl7AEAAOYb\ns2YlN95Y3Id0883lzPzyl5Pvfz/ZYYekc7v8RxUA0koxafbl2bNNnTr1w19feOGFP/V9s2bNytix\nY3PBBRdkzJgx6d69e5ZZZplS9zZt2rS89tprn/u62fFp4sSJpa4PAADztAkTknPPTU45JXnhhZbP\nW2CBZMSIIiKttVbL5wHQ6lolJu2444559NFH/+fXd9ppp7maM3z48NIec9trr72y7bbbfuZrfvvb\n3+b0009Pktxzzz3p379/aesDAMA87eWXkz/+Mfnzn5Px41s+r1+/5MADkwMOKL4GYJ7RLs+O1tbW\nZtiwYTnhhBNKm9mrV6/0+pxPfPjoI3X9+/fPgAEDSlsfAADmOU1NyZ13Fo+yXXNN8X1LDR5cnELa\nddeka9eWzwOg6lolJp100kkZN27ch98feuiheemll3LiiSdm+eWX/9T3derUKb17987KK6/8mY/D\nAQAArWjy5OSii4pLtZ98suXzOnVKhg0rItL66yet9GE4AFRHq8SkDTfc8GPf//znP//w14cMGdIa\nSwIAAC31xhvJqacmZ5yRjB3b8nl1dcl++yUHHZQstVTL5wHQLlTlMbfbbrst06dPd9oIAADaowce\nKB5lu+KKZMaMls9beeXiFNLXv550797yeQC0KzVNTWU8+Dx/aGxszPvvv5+kuDOpc8kfR9rY2Jj6\n+vokSUNDQ+rq6kqdDwAAFZs2rYhHf/hD8tBDLZ9XU5MMHVpEpE039SgbQAnaa0dolxdwt5W6urp2\n818MAAC0ivfeKx5jO/XU5K23Wj6vV6/kW99Kvvvd5DPuRwVg/lGVmDR06NA88cQTc/WeTp06ZaGF\nFsriiy+etdZaK8OGDcs666zTSjsEAID53BNPFKeQLroomTq15fOWW64ISN/6VrLQQi2fB8A8oyqP\nuQ0ZMiSPPvpoi+dsscUW+etf/5ollliihF1VX3s9ngYAwHxq5szkmmuKiHTXXeXM3HTT4lG2bbYp\nPqUNgFbTXjtCVU4mffOb38xmm22Wd999N+edd15mzZqVwYMHZ7XVVktdXV2mTJmSl19+Of/85z8z\nfvz4DBkyJJtuumkmTZqUUaNG5Z577klDQ0NuvvnmbLbZZnnggQeykH/7AQAAn2zcuOTPf07++Mfk\n1VdbPq9bt2TPPZPvfS9ZddWWzwNgnlaVmHTwwQfn3nvvzY477pgNN9wwZ5xxRgYNGvQ/r5s8eXJ+\n//vf5+c//3k22GCDnHzyyUmSqVOn5oQTTshPfvKTPPvsszn++OPzy1/+shpbBwCAecfzzyennJKc\nc07ywQctn9e/f3LQQcm++yZ9+rR8HgDzhao85vbOO+9kpZVWylJLLZWHHnooXbt2/czXn3DCCTn8\n8MNz8skn57vf/e6Hv37UUUfl17/+dQYMGJBXXnmltbdduvZ6PA0AgHnYrFnJzTcnJ5+c3HBDOTPX\nX794lG2nnZIuXcqZCcBca68dobYai5xxxhlpbGzMIYcc8rkhKUkOOuig9OzZM7/97W8za9asD3/9\niCOOSG1tbV599dW8++67rbllAABo3yZOLD6RbZVVkq23bnlI6tIl2WOP5KGHkn/+M9l1VyEJgE9U\nlZj00EMPJcknPtr2Sbp27ZoBAwbkjTfeyFsf+bjS+vr6LLvsskmS9957r/yNAgBAe/faa8kPfpAs\ntVTxCNpzz7Vs3qKLJj/7WTH3gguStdcuZ58AzLeqcmfSuHHjkiRjx46t+D2zXztu3LgsueSSH/56\nt27dkqSiE04AADBfaGpK7rmn+FS2v/+9eLStpdZcs3iUbfjw4oJtAKhQVU4mLbXUUkmSSy+9tKLX\n33333XnrrbdSW1v7sZCUJKNHj06SLLHEEuVuEgAA2pspU4rLtNdaK9l44+TKK1sWkmprk2HDkrvu\nSh59NNlrLyEJgLlWlZi0/fbbJ0kuvPDCnHTSSZ/52meeeSZ77rlnkmSjjTbKwgsv/OHP3nvvvYwf\nPz5LLLFEunfv3lrbBQCAtvXWW8WjZ0svnXzrW8njj7ds3sILJ0cckYwcmfztb8lGGyU1NWXsFIAO\nqCqPuQ0fPjwnnXRSHnrooRx66KE5//zzM3z48Ky22mqpq6vLlClT8sorr+SWW27J5ZdfnunTp6dL\nly757W9/+7E51113XZJk6623rsa2AQCguh5+uHiU7bLLkunTWz5vxRWT730v+cY3kh49Wj4PAFKl\nmFRbW5trr70222yzTR555JE89thjeeyxxz719T179sz555+fddZZ52O/3qlTp/zwhz/MN77xjdbe\nMgAAVMf06cXja3/4Q3L//eXM3Hrr4j6kzTcvHm0DgBLVNDU1NVVrsRkzZuT000/P6aefnqeffvp/\nft67d+8MHz48Rx11VJZZZplqbatqGhsbU19fnyRpaGhIXV1dG+8IAIA2M3ZscuaZyamnJq+/3vJ5\nPXok3/xm8t3vJhV+ijIA7Vt77QhVjUkf9e677+aFF17I+++/n65du2bJJZfMoEGDUjsf/5uT9vqb\nAACAKvr3v4tTSBdcUFyw3VIDBhQB6dvfLu5GAmC+0V47QlUec/skiy66aBZddNG2Wh4AAKpn5szk\nuuuKiHT77eXM3GST4lG27bZLOnUqZyYAVKDNYhIAAMz3xo9P/vKX5JRTkpdfbvm8rl2TPfYoLtVe\nffWWzwOAZmjTmDRr1qzMmjXrM1/TubPeBQDAPObFF4uA9Ne/JhMntnzeEksk3/lOst9+Sd++LZ8H\nAC1Q1VLz4osv5rTTTssdd9yRl156KRMr+B/Whx9+OEOGDKnC7gAAoAWampJbby0eZbv++uL7lvrS\nl4pH2XbeOVlggZbPA4ASVC0mnXvuudl///0zderUai0JAACtb9Kk4jLtP/wheeaZls/r3DnZZZci\nIn3pSy2fBwAlq0pMevrpp7P33ntn5syZ6dy5c7baaqusvfba6dOnTzp9zmWByyyzTDW2CAAAc2f0\n6ORPf0rOOitpaGj5vEUWSfbfPznwwGTJJVs+DwBaSVVi0llnnZWZM2emX79+ufXWW7PqqqtWY1kA\nAChXU1Ny333FKaQrryw+pa2lvvjF5JBDkt12SxZcsOXzAKCVVSUmPfnkk0mSn/3sZ0ISAADznqlT\nk8suKyLSo4+2fF5NTbLDDsWjbBtvXHwPAPOIqsSkpv9cPrjGGmtUYzkAACjHO+8kp5+enHZa8XVL\nLbRQss8+ycEHJ8su2/J5ANAGqhKTBg0alDvvvDPjxo2rxnIAANAyjz1WnEK65JJk2rSWz1thheR7\n30v22ivp1avl8wCgDdVWY5F99tknSXLNNddUYzkAAJh7M2YkV1yRfPnLyeDByXnntTwkbbFFct11\nyXPPFaeRhCQA5gNViUlDhgzJMccckz//+c/5xz/+UY0lAQCgMg0Nyf/9X7LccskuuyT33tuyed27\nJwcckDzzTHLTTck22yS1VfljNwBURVUecxs7dmwOOOCA1NbWZuedd86IESMyYsSIrLjiiunevftn\nvneRRRZJ585V2SYAAB3JM88kJ59cnECaPLnl85Zeujh9tM8+SV1dy+cBQDtV0zT7duxWNGTIkDza\nzE+9ePjhhzNkyJCSd9Q2GhsbU19fnyRpaGhInT9kAABU16xZyQ03FPch3XJLOTO//OXiU9l22CHx\nL0EBKFF77Qj+1w4AgPnfhAnJOeckp5ySvPhiy+ctsECy225FRFpzzZbPA4B5SFVi0nHHHZeGhoZm\nvXe55ZYreTcAAHQYL79cBKS//CUZP77l8xZbLDnwwGT//ZN+/Vo+DwDmQVWJSVtssUU1lgEAgKSp\nKbnjjuJRtn/8o/i+pYYMKU4h7bprcSoJADowj7kBADB/mDw5ufDC4lLtp55q+bxOnZKddy4i0nrr\nJTU1LZ8JAPMBMQkAgHnb668np56anHlmMnZsy+fV1yf77Zd85zvJUku1fB4AzGfaJCZ98MEHeeSR\nR/LOO+9k0qRJ2W677dKnT5+22AoAAPOqBx5ITjop+dvfkhkzWj5vlVWKU0h77JF0797yeQAwn6pq\nTHrzzTfz4x//OBdffHGmT5/+4a8//PDDH4tJhx9+eG677baceOKJ+cpXvlLNLQIA0J5Nm5ZccUVx\nH9JDD7V8Xk1Nsu22RUT66lc9ygYAFahaTHr22WezySab5N133/3c1y677LJ54okncs0114hJAAAk\n775bPMZ26qnJW2+1fF6vXsm3v50cfHCy/PItnwcAHUhtNRaZMWNGdtppp7z77rtZYoklcuaZZ+bV\nV1/Nmmuu+Ymv33rrrZMkN998czW2BwBAe/XEE0X0WXrp5OijWx6SlluuONX0+uvFI3JCEgDMtaqc\nTLr88svz/PPPp2/fvnnggQey1H8uMqyt/eSWNXDgwHTp0iXPPvtspkyZkm7dulVjmwAAtAczZybX\nXFNEn7vuKmfmZpsVj7Jts03yKX8GBQAqU5WYdOONNyZJDj300A9DUpLUfMoz6TU1NVl00UXzxhtv\nZPTo0VlhhRWqsU0AANrSc88ll12W/PWvyauvtnxet27Jnnsm3/tesuqqLZ8HACSpUkx67bXXkiTr\nr79+xe/p06dP3njjjXzwwQettS0AANra888XAenyy5OnnipnZv/+yUEHJfvum/jEYAAoXVVi0syZ\nM4vFOn98uU87mZQk48aNS5L06tWr1fYFAEAbeOGFIh5ddlny5JPlzV1//eJRtp12Srp0KW8uAPAx\nVYlJiy22WJLkhRdeyAYbbPC5r3/77bczatSodO7cOYsvvnhrbw8AgNb24otzAtITT5Q3t0uXZPjw\nIiINGVLeXADgU1Xl9sENN9wwSXLeeed97Nc/7WTSiSeemCQZMmRIunfv3rqbAwCgdbz0UvLrXydr\nrpl84QvJT35SXkhadNHkZz9LXnstOf98IQkAqqgqMWnEiBHp3r177rzzzhx77LGf+dpzzz03xx9/\nfJJk//33r8b2AAAoy8iRyW9+kwwenKywQnLUUcnjj5c3f801k3POSUaNSn7xi8QpdgCouqo85tav\nX7/86le/yuGHH56jjz461113XXbfffcP70V68MEHc//99+eyyy7LvffemyTZYIMN8vWvf70a2wMA\noCVeeWXOI2yPPlr+/Nra4h6k738/2XDD5DPu3QQAWl9NU1NTU7UWO+qoo/Kb3/wmn7fk4MGDc911\n16Vfv35V2ll1NDY2pr6+PknS0NCQurq6Nt4RAEAzvfrqnID0yCOts0Z9fbL33sUnsy2zTOusAQDt\nWHvtCFU5mTTbcccdly222CK//vWvc/vtt2fGjBkf+/mSSy6Zgw46KIccckgWXHDBam4NAIDP89pr\ncwLSww+3zhp1dcmwYckuuyRf/apPZQOAdqiqMSlJNtlkk2yyySb54IMP8vTTT2fs2LHp2rVrllpq\nqaywwgrV3g4AAJ9l1KgiIF1+efLgg62zxsILF4+x7bprsummAhIAtHNVj0mz9ejRI+uss05bLQ8A\nwKcZPXpOQHrggdZZo3fvjwekBRZonXUAgNK1WUwCAKAdef315IorikfY7r+/ddbo3TvZccciIG22\nmYAEAPMoMQkAoKN64405Aem++1pnjYUWKgLSLrskm2+edO3aOusAAFVTakwaOXJkJk+eXObILL/8\n8unWrVupMwEAOqw33ywC0uWXJ/fe2zpr9OqV7LBDcQJpiy0EJACYz5Qak4YPH55HH320zJF5+OGH\nM2TIkFJnAgB0KG++mfztb3MCUlNT+Wv07PnxgORfBgLAfMtjbgAA86O33y4C0mWXJffc03oBafvt\ni4C05ZYCEgB0EKXGpDPOOCMTJkwoc2QGDRpU6jwAgPnWO+/MCUh33906AalHjyIg7bJLstVWyYIL\nlr8GANCulRqTBg8eXOY4AAA+zzvvJFdeWTzCdtddyaxZ5a/Ro0ey3XZFQNp6awEJADo4j7kBAMxr\n3nuvCEiXXZbceWfrBKTu3ZNtty0eYdt66+J7AICISQAA84b33kuuuqoISHfc0ToBacEFPx6QevQo\nfw0AYJ4nJgEAtFdjxnw8IM2cWf4aCy6YDB1aPMI2dKiABAB8LjEJAKA9GTt2TkC6/fbWCUjduiXb\nbFOcQBo6tPhUNgCAColJAABtraEh+fvfi4B0662tE5C6dp0TkLbdVkACAJpNTAIAaAuNjR8PSDNm\nlL9G167F3UezA1KvXuWvAQB0OGISAEC1NDYmV189JyBNn17+Ggss8PGAtNBC5a8BAHRoYhIAQGsa\nN25OQLrlltYLSFtuWQSk7bZLevcufw0AgP8QkwAAyvb++8k11xQB6aabWicgdekyJyBtv72ABABU\njZgEAFCG8eM/HpCmTSt/jS5dki22mBOQFl64/DUAAD6HmAQA0Fzjxyf/+MecgDR1avlrdO788YBU\nV1f+GgAAc0FMAgCYGxMmzAlIN97YegFps82KgLTDDkl9fflrAAA0U1Vi0tChQ/PEE0/M1Xs6deqU\nhRZaKIsvvnjWWmutDBs2LOuss04r7RAA4DNMnJhce20RkK6/vvUC0qabFgFpxx0FJACg3appampq\nau1FhgwZkkcffbTFc7bYYov89a9/zRJLLFHCrqqvsbEx9f/5g2FDQ0PqHFMHgPZr4sTkuuvmBKQp\nU8pfo1OnjwekPn3KXwMAmGe1145QlZNJ3/zmN7PZZpvl3XffzXnnnZdZs2Zl8ODBWW211VJXV5cp\nU6bk5Zdfzj//+c+MHz8+Q4YMyaabbppJkyZl1KhRueeee9LQ0JCbb745m222WR544IEstNBC1dg6\nANCRfPDBxwPS5Mnlr9GpU/LVr84JSIssUv4aAACtqCox6eCDD869996bHXfcMRtuuGHOOOOMDBo0\n6H9eN3ny5Pz+97/Pz3/+82ywwQY5+eSTkyRTp07NCSeckJ/85Cd59tlnc/zxx+eXv/xlNbYOAMzv\nPvigCEeXX148ytYaAam2tghIu+yS7LRT0rdv+WsAAFRJVR5ze+edd7LSSitlqaWWykMPPZSuXbt+\n5utPOOGEHH744Tn55JPz3e9+98NfP+qoo/LrX/86AwYMyCuvvNLa2y5dez2eBgAdzqRJyQ03FCeQ\nrr22+L5stbXJJpsUJ5B22ilZdNHy1wAA5mvttSNUJSb98pe/zDHHHJO//OUv+da3vvW5r586dWoW\nWWSR9O7dO6NGjUptbW2S4v9xffv2zaxZs/LOO+9k0XnsD2Xt9TcBAHQIkyd/PCB98EH5a9TWJhtv\nXASkYcMEJACgRdprR6jKY24PPfRQknzio22fpGvXrhkwYED+/e9/56233sqSSy6ZJKmvr8+yyy6b\nkSNH5r333pvnYhIAUGWTJyc33lgEpH/8o3UCUk3NxwNSv37lrwEA0I5UJSaNGzcuSTJ27NiK3zP7\ntePGjfswJiVJt27dkuRzH5UDADqoKVOKgHT55ck11xSfyla2mppko42KO5B23jlZbLHy1wAAaKeq\nEpOWWmqpJMmll16a7bbb7nNff/fdd+ett95KbW3tx0JSkowePTpJssQSS5S/UQBg3jRlSnLzzcUJ\npGuuSSZMKH+Nmppkww2LE0g775wsvnj5awAAzAOqEpO23377XHLJJbnwwgszZMiQHHLIIZ/62mee\neSZ77rlnkmSjjTbKwgsv/OHP3nvvvYwfPz5LLLFEunfv3sq7BgDatalT5wSkq69unYCUfDwg+ZdZ\nAADViUnDhw/PSSedlIceeiiHHnpozj///AwfPjyrrbZa6urqMmXKlLzyyiu55ZZbcvnll2f69Onp\n0qVLfvvb335sznXXXZck2XrrrauxbQCgvZk6NbnlljkBafz41llngw3mBKT/OiUNANDRVSUm1dbW\n5tprr80222yTRx55JI899lgee+yxT319z549c/7552edddb52K936tQpP/zhD/ONb3yjtbcMALQX\n06YVAenyy5O//z15//3WWWf99Ys7kL72taR//9ZZAwBgPlDT1NTUVK3FZsyYkdNPPz2nn356nn76\n6f/5ee/evTN8+PAcddRRWWaZZaq1rapprx/pBwDtzrRpyW23FSeQ/v735D8f5lG6ddctTiB97WvJ\nf+54BABoL9prR6hqTPqod999Ny+88ELef//9dO3aNUsuuWQGDRqU2tratthOVbTX3wQA0C5Mnz4n\nIF11VesFpC99aU5AWnrp1lkDAKAE7bUjVOUxt0+y6KKLZtFFF22r5QGA9mD69OT22+cEpMbG1lln\nnXXmBKT58PQzAEA1tVlMamuzZs3K22+/nTfffDPvv/9+evfunUGDBqVXr15tvTUAmL81NSV33plc\ndFFy5ZVJQ0PrrLP22sUdSLvskgwY0DprAAB0QG0ak2bNmpVZs2Z95ms6dy5vi9OnT89pp52WW2+9\nNXfddVfG/9cnwNTU1GSDDTbIkUceme222660dQGAFBdnn3decuqpyXPPtc4agwcXJ5B22SVZdtnW\nWQMAoIOr6p1JL774Yk477bTccccdeemllzJx4sTPfc/DDz+cIUOGlLL+mDFj0rdv3yRFpFp88cXT\n/z+f1vLaa6/lzTff/PC1hx56aE444YRS1p2tvT7rCACt6vHHi4B04YXJpEnlz19rrTkBaeDA8ucD\nALSR9toRqnYy6dxzz83++++fqVOnVmvJ/7HAAgvkBz/4QYYOHZovfelL6dat28d+ftddd+Xggw/O\nv//975x44onZaKONsuOOO7bNZgFgXjZlSnLFFUVEuv/+8uevueacgLTccuXPBwDgU1XlZNLTTz+d\n1VdfPTNnzkznzp2z1VZbZe21106fPn3SqVOnz3zvzjvv/OFpomp45ZVXsvzyy2fWrFnZcccdc9VV\nV5U2u70WRQAozSuvJGeckfz5z8mYMeXOXmONOXcgrbBCubMBANqh9toRqnIy6ayzzsrMmTPTr1+/\n3HrrrVl11VWrsWyzLLvssll22WUzcuTIvP766229HQBo/2bNSm66qTiFdN11xQXbZVl99TkB6Qtf\nKG8uAADNVpWY9OSTTyZJfvazn7XrkJQUl4I3/udjiQf45BcA+HRjxiR/+Uty+unFiaSyfPGLcx5h\nGzSovLkAAJSiKjFp9pN0a6yxRjWWa5FTTjklDf/5iOJvf/vbbbwbAGhnmpqSBx8sTiFddllS1l2I\nq646JyCtuGI5MwEAaBVViUmDBg3KnXfemXHjxlVjuYqMGTMmjzzySJJk0qRJef3113PllVfmrrvu\nSm1tbY499thsvfXWbbxLAGgnJk1KLrqoiEj/+lc5M3v1SvbaK9l//yImAQAwT6hKTNpnn31yxhln\n5Jprrsk222xTjSU/1yOPPPKJsWj99dfPmWeemVVWWaVZc2c/IvdJ2lNMA4CKPP988RjbX/+avP9+\nOTNXWy35zneSPfZIevYsZyYAAFVTlZg0ZMiQHHPMMfl//+//ZejQodluu+2qsexn6tu3b7bccssk\nyZQpU/Lyyy9n9OjRue+++7LtttvmL3/5S77yla/M9dzZt6wDwDxrxozkmmuS005Lbr21nJlduhSP\nsH3nO8n66yc1NeXMBQCg6mqamsr8yJVPNnbs2EyfPj1nnnlmjj322IwYMSIjRozIiiuumO7du3/m\nexdZZJF07lyV5pUHHngg++23X5566ql06dIlV1999Vw/6lZT4R+O29NH+gFAkuStt5KzzkrOPDN5\n441yZi69dHLAAcneeyeLLlrOTACADqKxsfHDQyvtqSNUJSYNGTIkjz76aLPe+/DDD2fIkCEl7+jT\njR07NiuvvHLefffdLLfccnnxxRcrDkTJ5z/mNnDgwCTt6zcBAB1YU1Ny993Jn/6UXHVVcSqpDFtt\nVZxC2mabpFOncmYCAHQw7TUmVefIzzykT58+2WuvvfK73/0uI0eOzLPPPpuVV1654ve3l/9iAeAz\njR+fnH9+caH2M8+UM7O+Pvn2t4uTSMstV85MAADanarEpOOOOy4NDQ3Neu9ybfCH0eWXX/7Dr99+\n++25ikkA0K49+WQRkC64IPngg3JmrrNOcQpp112TBRcsZyYAAO1WVWLSFltsUY1lSvPR8OWkEQDz\nvKlTk7/9rYhI//xnOTO7dUt23z058MCkio+jAwDQ9jzm9gmuuuqqJEmPHj2y0kortfFuAKCZXnut\nuEz77LOTd98tZ+byyxenkPbaq3isDQCADqdDxaRRo0alf//+qa2t/cSfz5w5M0cddVQeeuihJMk3\nv/nNdOvWrZpbBICWmTUrueWW4hTStdcW37dUbW2y/fZFRNp00+J7AAA6rA4Vkw477LDce++9GTp0\naAYNGpTFFlss9fX1+eCDD/L000/nsssuy/PPP58kWWONNfL//t//a+MdA0CFxo5N/vrX5PTTk5Ej\ny5nZr1+y777JfvslSy1VzkwAAOZ5pcakkSNHZvLkyUmKS6xnn+r56K/PrY/Oaalll102V199df7y\nl7986ms6d+6cb33rW/nd736X3r17l7IuALSahx4qTiFdcklxN1IZNtqoOIW0007JAguUMxMAgPlG\nTVNTU1NZw4YMGZJHH300SfLwww9nyH8u5Pzor8+tj84pw/vvv5/bbrstjz32WN56662899576dq1\na/r165e11lorQ4cOTb9+/Upb76MaGxtT/5/7JRoaGlzuDUDzTJqUXHppEZEeeaScmT17Jt/4RnGh\n9qqrljMTAIAWaa8doUM95pYkvXv3zrBhwzJs2LC23goAzJ0XXyweY/vrX5PGxnJmrrpqcQrp619P\nevUqZyYAAPO1UmPSGWeckQkTJiRJBg0a9Im/Prc+OgcAOpwZM4qLtE87Lbn55nJmdumS7LxzEZE2\n3DCpqSlnLgAAHUKpMWnw4MFz9esAwKd4++3k7LOTM85IXn+9nJlLLZXsv3+y997JYouVMxMAgA6n\nwz3mBgDtVlNTcu+9xV1If/tbMn16OXO32KI4hTR0aNLZ//QDANAy/kQJAG1twoTkgguKiPTvf5cz\nc+GFk29/OznggGSFFcqZCQAAEZMAoO38+9/FXUjnnZdMnFjOzMGDk4MOSoYPT7p3L2cmAAB8RKkx\naeTIkZk8eXKZI7P88sunW7dupc4EgDYzbVpy5ZXFKaR77ilnZrduyYgRxaNsa69dzkwAAPgUpcak\n4cOH59FHHy1zZB5++OEMGTKk1JkAUHWjRydnnpmcdVbyzjvlzFxuueTAA5NvfjPp06ecmQAA8Dk8\n5gYArWXWrOS224pTSNdcU3zfUrW1ybbbFqeQNt+8+B4AAKqo1Jh0xhlnZMKECWWOzKBBg0qdBwCt\nrrExOeec4j6kF18sZ2bfvsm++yb77Zcss0w5MwEAoBlKjUmDBw8ucxwAzFsefTT505+Siy9Opkwp\nZ+aGGxankIYNS7p2LWcmAAC0gMfcAKAlJk9OLruseJTtoYfKmdmjR7LnnsV9SKutVs5MAAAoiZgE\nAM0xcmRy+unJX/6SNDSUM3PllYtTSHvumSy0UDkzAQCgZFWPSVOmTMkVV1yR2267Lc8991zGjRuX\nBRdcMEsssUTWXXfd7L777hk4cGC1twUAn2/mzOT664tTSDfeWM7Mzp2LR9i+851ko42Smppy5gIA\nQCupaWpqaqrWYldddVUOPPDAvPMZH4lcW1ubfffdN7///e/To0ePam2tKhobG1NfX58kaWhoSF1d\nXRvvCICKvPtu8uc/FyeRRo0qZ+aSSyb775/ss0+y+OLlzAQAYL7SXjtC1U4mnXXWWdl///0zu10t\nssgiWW211VJXV5cpU6Zk5MiRef755zNr1qycccYZeeaZZ3LzzTenW7du1doiAMzR1JTcd19xCuny\ny5Pp08uZu9lmxSmk7bYrTiUBAMA8pip/in3ppZfy3e9+N01NTVlhhRVy0kknZauttkptbe3HXvfq\nq6/mZz/7Wc4///zcc889OfbYY3PsscdWY4sAUJg4MbnwwiIiPflkOTN7906+9a3kgAOSQYPKmQkA\nAG2kKjHp7LPPztSpU7P00kvnvvvuyyKLLPKJrxswYEDOO++81NfX5w9/+EPOOOOM/OIXv0inTp2q\nsU0AOrJnnklOOy0599xkwoRyZq65ZnLQQcmIEcUntAEAwHyg9vNf0nKPPvpokuQHP/jBp4akj/rV\nr36Vbt26ZcyYMXnttddae3sAdFTTpxePsH3lK8kqqyR//GPLQ1LXrsk3vpE88EDy6KPJ3nsLSQAA\nzFeqcjJp2rRpSZI111yzotf36tUryy23XJ5++ukP3wsApXn99eSss5Izz0zefrucmcsumxx4YPE4\nWwX/4gQAAOZVVYlJAwcOzN13350Jc/FveydMmJBOnTpl6aWXbsWdAdBhNDUlt99e3IV09dXJzJkt\nn1lTkwwdWlyoveWWSW1VDvwCAECbqsqfenffffckyZVXXlnR6x955JGMGjUqw4YNS/fu3VtzawDM\n78aNS/7wh2SllYpPUrvyypaHpEUWSX70o2TkyOQf/0i23lpIAgCgw6jKyaTNN988++67b/785z9n\n4403zh577PGpr3399dez5557pn///jnhhBOqsT0A5kePPVZcqH3hhcnkyeXMXG+94kLtr32tuBsJ\nAAA6oKrEpLFjx+bnP/95evfunb322isXXHBB9thjj6yxxhqpq6vLlClT8sorr+TGG2/MmWeemUGD\nBuX8889P586d8/an3GWxyCKLpHPnqmwfgHnFlCnFhdqnnlpcgF2G7t2Tr3+9uA9pjTXKmQkAAPOw\nmqampqbWXmTIkCEffqJbWR5++OEMGTKk1JmtrbGxMfX19UmShoaG1NXVtfGOAOYTL7+cnHFG8uc/\nJ2PHljNzxRWLu5C+8Y2kd+9yZgIAwFxorx3B0R4A5k0zZyY33licQrrhhuKC7Zbq1CnZaaciIm2y\nSXHBNgAA8DFViUnHHXdcGhoaSp253HLLlToPgHnEe+8lf/lLcvrpyauvljNz8cWT/fZL9t03WXLJ\ncmYCAMB8qioxaYsttqjGMgDMr5qaijuQTj01ueyyZNq0cuZ+9avFXUg77JB06VLOTAAAmM95zA2A\n9uuDD5KLLioi0uOPlzNzoYWSb34zOeCAZKWVypkJAAAdiJgEQPvz3HPJaacl55yTjB9fzszVV08O\nOijZbbekZ89yZgIAQAckJgHQPkyfnlxzTXEK6fbby5m5wALJLrsUF2qvt54LtQEAoARViUk77bRT\nnnrqqWa99+9//3tWXXXVkncEQLvx5pvJWWclZ55ZfF2GZZYpHmP79reTRRctZyYAAJCkSjFp9OjR\nGTlyZLPeO2XKlJJ3A0Cba2pK7ryzOIV01VXJzJktn1lTk2y1VXEKaeutk06dWj4TAAD4H1WJSbvv\nvns23HDDT/359OnT8+abb+bee+/NmDFj8qUvfSnrrrtukqRfv37V2CIA1fD++8l55xUR6bnnypnZ\np0+y997J/vsnAweWMxMAAPhUVYlJhx12WEWvmzZtWk466aQcffTRGT58eA499NBW3hkAVfH448WF\n2hdckEyaVM7ML32pOIW0665Jt27lzAQAAD5Xu7qAe4EFFsiRRx6ZmTNn5rDDDssyyyyTYcOGtfW2\nAGiOCROSv/89Of305L77ypm54ILJ7rsnBx6YDB5czkwAAGCu1DQ1NTW19Sb+2+TJk9OnT58MGDAg\nzzzzTFtvpzSNjY2pr69PkjQ0NKSurq6NdwRQsgkTkmuvTS67LLnhhmTq1HLmfuELRUDaa6/E3zsB\nAOgg2mtHaFcnk2ZbcMEFM3DgwDz99NN5++23s9hii7X1lgD4NLMD0uWXFwGprA9OqK1NdtghOeig\n5KtfLS7YBgAA2ly7jElJMmHChCTJmDFjxCSA9mbixI+fQCrzkzcXWyzZd99kv/2S/v3LmwsAAJSi\nXcak22+/PaNGjUoSIQmgvZg4MbnuuiIgXX99uQEpSTbeuLhQe8cdkwUWKHc2AABQmnYVk958881c\nccUV+dnPfpYkWXfddbPIIou08a4AOrDZAenyy4uANHlyufN79Uq+8Y3iPqRVVil3NgAA0CqqEpM2\n22yzPP7445/5mkmTJmXyR/4hpVu3bjnxxBNbeWcA/I8PPpgTkK67rvyAlCRf/GJxCmmPPYqgBAAA\nzDOqEpPGjRuXsWPHVvz6tdZaK3/605+y7rrrtuKuAPjQBx8UJ48uu6z1AlKXLsnXvlZEpA02cKE2\nAADMo6oSk/bbb7+8+eabn/rzmpqaLLjggllsscUyZMiQrLzyytXYFkDHNjsgzT6BNGlS+WvU1CRf\n/nKy665FSOrXr/w1AACAqqpaTAKgHZg0aU5Auvba1g1Iu+yS7Lxzsvji5a8BAAC0mXZ1ATcArWDS\npOSGG4pH2FozIG24YXECadiwZIklyl8DAABoF8QkgPnR7IA0+wTSBx+Uv0ZNTXH30a67FieQBCQA\nAOgQ2iwmTZkyJS+//HLGjRuXBRdcMEsssUT6uUsDoPkmT54TkP7xj9YJSElxAmn2I2xLLtk6awAA\nAO1W1WPS3//+9/zhD3/Ifffdl2nTpn3sZ8suu2z22muvfP/738/CCy9c7a0BzHsmT05uvLF4hK01\nA9JHTyAJSAAA0KHVNDU1NVVjoenTp2fPPffMpZde+rmvXXrppXP11VdnjTXWaP2NVVFjY2Pq6+uT\nJA0NDamrq2vjHQHzpNkBafYJpIkTW2ed9defE5D692+dNQAAgE/VXjtC1U4mfec73/kwJC288MLZ\naaedMnjw4PTp0ydTpkzJSy+9lGuvvTZPPPFERo0ala233jqPP/64R98AkmTKlDkB6ZprWjcg7bJL\n8rWvCUgAAMAnqsrJpCeeeCJrrrlmmpqaMmLEiJx++unp3bv3J7724osvzt57753JkyfnoIMOyh//\n+MfW3l7VtNeiCLRTU6YkN9005xG2CRNaZ5311ptzAmmppVpnDQAAYK61145QlZNJl1xySZqamrLB\nBhvkoosuSk1Nzae+drfddsv06dOz11575dJLL83JJ5+c2traamwToO3NDkizTyC1VkBad90iIH3t\nawISAAAwV6oSkx5//PEkyUEHHfSZIWm2PfbYI4ccckjGjBmTN954I0v5Bx1gfjZlSnLzzUVAuvrq\n1g1Isx9hW3rp1lkDAACY71UlJo0bNy5Jsswyy1T0+k6dOqV///5pbGxMY2OjmATMf6ZOLQLSZZcV\nJ5DGj2+ddb70pTknkAQkAACgBFWJSbPvR3rzzTcren1TU1Peeuutj70XYJ43OyDNPoHUWgFpnXXm\nBKQKIz4AAEClqhKTvvjFL+amm27K2Wefna997Wuf+/qrr746Y8aMSV1dXfr7NCFgXjZ1anLLLUVA\n+vvfWzcgzX6EbcCA1lkDAAAgSVVutt5ll12SJDfddFMOPfTQTJs27VNfe9ddd2XvvfdOkgwbNiyd\nOnWqxhYByjNtWnLddcleeyX9+iXbbZecd175IWnttZPf/S555ZXkwQeTI44QkgAAgFZX09TU1FSN\nhUaMGJFLL700STJgwICMGDEia621Vurq6jJ16tS89NJLueGGG3LzzTenqakpCy+8cJ544oksPR/d\n8dFeP9IPKMG0aR8/gfT++62zzpAhcx5hW3bZ1lkDAABoF9prR6haTJo0aVJ23HHH3HLLLZ/72kUW\nWSRXXXVVNtxwwyrsrHra628CoJmmTUtuvXVOQPrPhw2UbsiQ4hG2XXYRkAAAoANprx2hKncmJUn3\n7t1z00035S9/+UtOOeWUPPHEE//zmvr6+uyxxx758Y9/nMUXX7xaWwOo3LRpyW23FZ/C1poBafDg\nOSeQBg5snTUAAACaoWonk/7be++9l+effz7vv/9+unXrliWWWCIrrrhiampq2mI7VdFeiyLwOWYH\npMsvT666qvUC0lprFQFpl10EJAAAoN12hKqdTPpvffv2Td++fdtqeYDPNn36xwNSY2PrrLPWWnMe\nYVtuudZZAwAAoERtFpMA2p3p05Pbb5/zCFtDQ+uss+aac04gCUgAAMA8plVi0vTp03PkkUdm8uTJ\nqa+vzy9+8Yt06dLlc993zTXX5Prrr0+SfOMb38j666/fGtsDmGN2QJp9Aqk1A9LsE0jLL986awAA\nAFRBq8SkE044ISeddFJ69OiR22+/vaKQlCRbbrllTj755Nx2222566678uSTT1b8XoCKTZ+e3HFH\nEZCuvLL1AtIaa8w5gSQgAQAA84nSY9LUqVNz/PHHJ0mOO+64rLPOOhW/t2vXrjn//POz0kor5bnn\nnssVV1yR3XbbrewtAh3RjBlFQLrssuIE0tixrbPO6qvPCUgrrNA6awAAALSh2rIHXnfddRkzZkyW\nW265HHzwwXP9/sUXXzxHHnlkkuScc84peXdAhzJjRnLLLcl++yWLLZZssUVy9tnlh6TVV0+OPTZ5\n/vnk8ceTo44SkgAAgPlW6SeT7rrrriTJ7rvvntra5rWqPffcMz/5yU9y3333ZebMmenUqVOZWwTm\nZzNmJHfeOecRtjFjWmed1VabcwLpC19onTUAAADaodJj0osvvpgkWWuttZo9Y6mllsqiiy6ad999\nN2+++WaWWmqpsrYHzI9mzEjuuqt4hK01A9IXvzgnIA0a1DprAAAAtHOlx6Rx48YlSfr169eiOf36\n9cu7776bxsZGMQn4X7MD0uwTSO+91zrrfPGLcz6FbcUVW2cNAACAeUjpMal79+5JkvHjx7dozvvv\nv58k6dGjR4v3BMwnZsxI7r67CEh/+1vrBaRVV51zAklAAgAA+JjSY9Kiiy6aJHn22Wez5ZZbNmvG\n+PHj8+abbyZJ+vbtW9regHnQzJlFQJr9CNu777bOOqusMicgrbRS66wBAAAwHyg9Jq299tq5+OKL\nc/XVV+eQQw5p1ozrr78+M2bMyIorrpiFFlqo3A0C7d/sgDT7BFJrBqTZj7CtvHLrrAEAADCfKT0m\nbbXVVjnssMNy55135tZbb81mm202V++fOnVqfvGLX3w4C+ggZs5M7rlnTkB6553WWWflleecQBKQ\nAAAA5lrpMWmllVbKNttsk+uvvz4jRozIbbfdltVXX72i906ZMiW77757nnvuuXTp0iXf//73y94e\n0J7MnJnce2/xCFtrBqSVVpoTkFZZpXXWAAAA6CBKj0lJ8n//93+56667Mnbs2HzpS1/KkUcemQMP\nPDCLL774J75++vTpueaaa3L00Ufn2WefTZIceeSRGTBgQGtsD2hLswPS7BNIb7/dOuusuGIRkHbd\nVUACAAAoUU1TU1NTawy++uqrs8suu2T69OlJkk6dOmXllVfOaqutlvr6+nTp0iXjx4/Pyy+/nEce\neeRjn/62884757LLLkttbW1rbK3NNDY2pr6+PknS0NCQurq6Nt4RVMnMmck//1kEpCuuaP2ANPsE\nUk1N66wDAABQBe21I7RaTEqSBx54ILvttlteffXVil7fuXPn/PSnP83RRx8934WkpP3+JoBWMWtW\nEZBmP8L21luts86gQXMC0qqrCkgAAMB8o712hFZ5zG22ddddN88//3wuuOCCnHfeeXnwwQczZcqU\n/3ndCiuskG233TaHHHJIll566dbcEtCaZgek2SeQWisgfeELcx5hE5AAAACqqlVPJv23qVOn5pVX\nXsnYsWMzderU1NfXZ8kll0zfvn2rtYU21V6LIrTIrFnJfffNCUhvvtk668wOSLvsknzxiwISAAAw\n32uvHaFVTyb9t65du2bFFVes5pJAa2hqSh5/PLn44uSSS5LRo1tnnRVWmBOQVltNQAIAAGgHqhqT\ngHncCy8UAenii5Pnn2+dNZZffs4jbAISAABAuyMmAZ/t9deL00cXX5w89ljrrDE7IO2yS7L66gIS\nAABAOyYmAf9rzJji/qOLL07uuad4rK1syy03JyCtsYaABAAAMI/ocDFp5syZefzxx3P//ffnjTfe\nyFtvvZWmpqYstthiWXfddTN06NAssMACbb1NqL4JE5Krry4C0s03JzNmlL/GcssV8WjXXQUkAACA\neVSHikm//e1v8+tf/zrvv//+p76mX79+OeWUU7LLLrtUcWfQRqZMSW64oQhI116bTJ5c/hoDB845\ngbTmmgISAADAPK5DxaRnn332w5A0ZMiQbLnllll++eVTU1OThx56KOeee27eeeed7LrrrjnrrLOy\nzz77tPGOoRXMmJHccUcRkK68MvmMuNpsyy47JyCttZaABAAAMB+paWpqjctQ2qdvfetbGTduXI4+\n+uistdZa//PzF198MRtvvHHeeuutdO/ePS+99FIWX3zx0tZvbGxMfX19kqShoSF1dXWlzYbP1NSU\nPPBActFFyWWXJe++W/4aSy2VjBiRDB8uIAEAAJSgvXaEDhWT3nnnnfTr1+8zX3PBBRdkzz33TJKc\nfPLJ+e53v1va+u31NwHzqaam5KmnihNIl1ySvPpq+Wssskhx+mi33ZINNkhqa8tfAwAAoINqrx2h\nQz3m9nkhKUk222yzD79+5plnWnM70DpGjiwC0sUXJ63xe7hXr2SnnYqAtOmmSZcu5a8BAABAu9Wh\nYlIlpk+f/uHXHejQFvO6t95KLr20CEgPPVT+/K5dk6FDi4A0dGiy4ILlrwEAAMA8QUz6L7fddtuH\nX6+00kptuBP4HI2Nyd/+VgSkO+4oHmsrU6dOxcmj3XdPdtwx6d273PkAAADMk8Skj5g2bVp+85vf\nJEkWWGCBDBs2bK5nNDY2furPxo0b19ytQeGDD5JrrikC0o03Jh85SVeaDTYoTiDtskuy6KLlzwcA\nAGCeJiZ9xI9+9KM8//zzSZLvfe97WWqppeZ6xuyLsaA006YlN91UBKSrr04mTSp/jdVXL04gDR+e\nLLNM+fMBAACYb4hJ/3HeeeflxBNPTJKsscYaOfbYY9t4R3RoM2cmd9+dXHRR8SjbZ5x4a7blly9O\nIO22W+KRTgAAACokJiW56aabss8++yRJ+vfvn6uvvjpdu3Zt1qyGhoZP/dm4ceMycODAZs2lA2hq\nSh5+uDiBdOmlxaXaZVtiieL00W67JUOGJDU15a8BAADAfK3Dx6R77703w4YNy/Tp09O3b9/ccsst\nWXrppZs9r66ursTd0SE880xxAumSS5KRI8ufX1+ffO1rRUD68peLi7UBAACgmTp0THrkkUcydOjQ\nTJo0KXV1dbn55puz4oortvW26AhefbWIRxdfnDz5ZPnze/RIdtihCEhbbJEssED5awAAANAhddiY\n9NRTT2XLLbfM+PHj06tXr9x4441ZY4012npbzM/eeSe5/PLiFNL995c/v0uXZOuti4u0t922CEoA\nAABQsg4Zk1544YVsvvnmaWhoSI8ePXL99ddnnXXWaettMT96//3kyiuLE0i33ZbMmlXu/Nra5Ctf\nKU4gDRuWeMwSAACAVtbhYtKrr76aTTfdNO+88066deuWa665JhtuuGFbb4v5yeTJybXXFgHpuuuS\nadPKX2PddYuAtOuuyWKLlT8fAAAAPkWHiklvvvlmNt1007z++utZYIEFctVVV+WrX/1qW2+L+cH0\n6ckttxQB6e9/TyZOLH+NVVctAtKIEYlPBQQAAKCNdKiYtP/+++fll19OkiyxxBI5++yzc/bZZ3/q\n61dbbbX87Gc/q9b2mNfMmpXce28RkC6/PBk7tvw1BgwoAtJuuyVf/GL58wEAAGAudaiYNGHChA+/\nfvXVV/Pqq69+5uvHjRvXuhti3tPUlPzrX8Ul2pdemrz+evlr9OuXDB9eBKQvfSmpqSl/DQAAAGim\nDhWTfvGLX+S9996r+PX9+vVrxd0wT3n++eIE0sUXJy+8UP783r2TnXcuAtJXvpJ06lT+GgAAAFCC\nDhWTNt5447beAvOS0aOTSy4pAtK//lX+/AUXTLbfvghIW22VdO1a/hoAAABQsg4Vk+BzjRlT3H90\n8cXJPfeUP79z52TLLYuAtMMOSc+e5a8BAAAArUhMggkTik9gu/ji5Oabk5kzy51fU5NsvHERkHbe\nOenTp9z5AAAAUEViEh3TlCnJ9dcXAenaa4vvyzZkSBGQhg9Pllyy/PkAAADQBsQkOo4ZM5Lbby8C\n0pVXJuPHl7/GiisWAWm33ZIVVih/PgAAALQxMYn5W1NTcv/9yUUXFXchvftu+WssvXQyYkQRkFZf\nvXisDQAAAOZTYhLzn6am5MknixNIl1ySvPZa+Wv07Zvsskuy++7JeusltbXlrwEAAADtkJjE/OOl\nl4qAdPHFybPPlj+/V69k2LDiBNKmmxafzAYAAAAdjH8aZt725pvJpZcWAenhh8uf37Vrsu22RUDa\nZptkwQXLXwMAAADmIWIS856GhuRvfysC0p13Fo+1lalTp2TzzYuAtOOOyUILlTsfAAAA5mFiEvOG\niROTa64pAtJNNyXTp5e/xoYbFgFpl12KO5EAAACA/yEm0X5NnVqEo4svLkLSpEnlr7HGGkVAGjGi\n+FQ2AAAA4DOJSbQvM2cmd92VXHRR8SjbuHHlr7HCCkVA2m23ZMUVy58PAAAA8zExibbX1JQ89FBx\nAumyy5K33ip/jSWXTIYPT3bfPVlrraSmpvw1AAAAoAMQk2g7Tz9dnEC65JLk5ZfLn19fX9x/tNtu\nyZe/nNTWlr8GAAAAdDBiEtX1yitFPLr44uSpp8qf36NH8Qlsu+1WfCLbAguUvwYAAAB0YGISre+d\nd4rH1y66KHnggfLnL7BAss02RUDadtuke/fy1wAAAACSiEm0lnHjkiuvLE4g3X57MmtWufNra5Ov\nfrUISMOGJQsvXO58AAAA4BOJSZRn0qTk2muLgHT99cm0aeWvse66RUDadddkscXKnw8AAAB8JjGJ\nlpk+PbnlluIRtquvTiZOLH+NL36xCEgjRiTLLlv+fAAAAKBiYhJzb9as5J57ihNIV1yRjB1b/hrL\nLlsEpN12S1Zdtfz5AAAAQLOISVSmqSl57LHiBNKllyZvvFH+GostlgwfXgSkddZJamrKXwMAAABo\nETGJz/bcc8UJpIsvTl58sfz5Cy+c7LxzEZA22STp1Kn8NQAAAIDSiEl8ugMOSM44o/y5Cy6Y7LBD\nEZC23DLp2rX8NQAAAIBWISbx6QYPLm9W587JVlsVAWn77ZOePcubDQAAAFSNmMSn23nn5KCDik9s\na46ammTjjYuAtPPOSZ8+5e4PAAAAqDoxiU9XX188hnbttXP3vrXXLgLSrrsmSy7ZOnsDAAAA2oSY\nxGfbbbfKYtJKKxWv3W23ZPnlW39fAAAAQJsQk/hs22+fdO+eTJr0vz9beuk5AWm11YrH2gAAAID5\nmpjEZ+vZswhKl1xSfN+3b/H42m67Jeutl9TWtu3+AAAAgKoSk/h83/xm0rVrsvvuyVe/WnwyGwAA\nANAhqQJ8vi23LP4CAAAAOjzPKAEAAABQMTEJAAAAgIqJSQAAAABUTEwCAAAAoGJiEgAAAAAVE5MA\nAAAAqJiYBAAAAEDFxCQAAAAAKiYmAQAAAFAxMQkAAACAiolJAAAAAFRMTAIAAACgYmISAAAAABUT\nkwAAAAComJgEAAAAQMXEJAAAAAAqJiYBAAAAUDExCQAAAICKiUkAAAAAVExMAgAAAKBiYhIAAAAA\nFROTAAAAAKiYmAQAAABAxcQkAAAAAComJgEAAABQMTEJAAAAgIqJSQAAAABUTEwCAAAAoGJiEgAA\nAAAVE5MAAAAAqJiYBAAAAEDFxCQAAAAAKiYmAQAAAFAxMQkAAACAiolJAAAAAFRMTAIAAACgYmIS\nAAAAABUTkwAAAAComJgEAAAAQMXEJAAAAAAqJiYBAAAAUDExCQAAAICKiUkAAAAAVExMAgAAAKBi\nYhIAAAAAFROTAAAAAKiYmAQAAABAxcQkAAAAAComJgEAAABQMTEJAAAAgIqJSQAAAABUTEwCAAAA\noGKd23oDbW3GjBkZN25ckqRbt27p2bNn224IAAAAoB3rcDHptddey/33358HH3wwDz30UP71r39l\n8uTJSZK99947Z599dhvvEAAAAKD96nAxaY899sg///nPD7/v1KlTG+4GAAAAYN7S4WLSgAED0r9/\n/6yzzjpZZ511ssoqq6S+vr6ttwUAAAAwT+hwMemCCy742PdTpkxpo50AAAAAzHt8mhsAAAAAFROT\nAAAAAKiYmAQAAABAxcQkAAAAACrW4S7gbm2NjY2f+rNx48ZVbyMAAAAArUBMKll9fX1bbwEAAACg\n1XjMDQAAAICKOZlUsoaGhk/92bhx4zJw4MAq7gYAAACgXGJSyerq6tp6CwAAAACtxmNuAAAAAFRM\nTAIAAACgYmISAAAAABUTkwAAAACoWIe7gHvq1KmZMGHCx77/6Ndjxoz58Puampr06dOnqvsDAAAA\naM9qmpqamtp6E9V09tlnZ999963otT169MjEiRNLW7uxsTH19fVJkoaGBp/8BgAAAHyq9toROtzJ\npG7dulV82qhnz56tvBsAAACAeUuHO5nUltprUQQAAADan/baEVzADQAAAEDFxCQAAAAAKiYmAQAA\nAFAxMQkAAACAiolJAAAAAFRMTAIAAACgYmISAAAAABUTkwAAAAComJgEAAAAQMXEJAAAAAAqJiYB\nAAAAUDExCQAAAICKiUkAAAAAVExMAgAAAKBiYhIAAAAAFROTAAAAAKiYmAQAAABAxcQkAAAAACom\nJgEAAABQMTEJAAAAgIqJSQAAAABUTEwCAAAAoGJiEgAAAAAVE5MAAAAAqJiYBAAAAEDFxCQAAAAA\nKiYmAQAAAFAxMQkAAACAiolJAAAAAFRMTAIAAACgYmISAAAAABUTkwAAAAComJgEAAAAQMXEJAAA\nAAAqJiYBAAAAUDExCQAAAICKiUkAAAAAVExMAgAAAKBiYhIAAAAAFROTAAAAAKiYmAQAAABAxcQk\nAAAAAComJgEAAABQMTEJAAAAgIqJSQAAAABUTEwCAAAAoGJiEgAAAAAVE5MAAAAAqJiYBAAAAEDF\nxCQAAAAAKiYmAQAAAFAxMQkAAACAiolJAAAAAFRMTAIAAACgYmISAAAAABUTkwAAAAComJgEAAAA\nQMXEJAAAAAAqJiYBAAAAUDExCQAAAICKiUkAAAAAVExMAgAAAKBiYhIAAAAAFROTAAAAAKiYmAQA\nAABAxcQkAAAAAComJgEAAABQMTEJAAAAgIqJSQAAAABUTEwCAAAAoGJiEgAAAAAVE5MAAAAAqJiY\nBAAAAEDFxCQAAAAAKiYmAQAAAFAxMQkAAACAiolJAAAAAFRMTAIAAACgYmISAAAAABUTkwAAAACo\nmJgEAAAA8P/bu/OwqKr/D+DvQXZQEGRRQdwV98ylFBULRRTI1EzD0koz1/rZYss3l9TUzPymJqm5\n5laGy9cFRSkXjNwNVxQFZRk2kX1nzu8PH+4DzsIwDDDE+/U8Pk1zzj3nM5czl5kP555DWmMyiYiI\niIiIiIiItMZkEhERERERERERaY3JJCIiIiIiIiIi0ppxbQdQmzIzMxEaGoq4uDiYmZmhXbt2GDhw\nIBo0aFDboRERERERERERGaR6mUwqLCzEggULsGrVKuTn55cra9q0KdasWYPRo0fXUnRERERERERE\nRIar3iWTFAoFxo8fj3379gEAunbtioEDByInJweHDh2CXC7HmDFjsHHjRkyePLmWoyUiIiIiIiIi\nMiz1LpkUGBgoJZLmzp2LZcuWSWXp6ekYMWIE/vrrL0yfPh2enp5o27ZtbYVKRERERERERGRw6tUC\n3IWFhVi0aBEAoHfv3li6dGm5cltbW+zatQumpqYoKirC119/XRthEhEREREREREZrHqVTPrjjz+Q\nlJQEAJg5cyZkMplSHTc3N/j7+wMA9u/fr7SmEhERERERERFRfVavkkkhISHS4yFDhqitV1qWnZ2N\n8PDwao+LiIiIiIiIiKiuqFfJpBs3bgAAmjRpgqZNm6qt1717d6VjiIiIiIiIiIioni3AHRMTAwBw\ndXXVWM/FxUV6HB0dXak+njx5orYsLS1Nepyenl6pdomIiIiIiIiofimbO1AoFLUXyDPqVTIpMzMT\nANCoUSON9cqWZ2VlVaoPOzs7req1bt26Uu0SERERERERUf2VmZkJe3v72g4DQD27zS0vLw8AYGZm\nprFe2fLSY4iIiIiIiIiIqJ7NTDI3N0dmZiYKCws11isoKCh3TGWUvZXtWcXFxYiPj4eNjQ0aNWoE\nI6N6lcujapaeni7NeHvw4AFsbW1rNyCiSuD4pbqKY5fqMo5fqqs4dqmu0mXsKhQK6S6ripbsqUn1\nKpnUqFEjJCcnV3jrWnZ2tvS4YcOGleqjcePGGssdHBwq1R6RLmxtbSsci0SGiuOX6iqOXarLOH6p\nruLYpbqqMmPXUG5tK6teTY1xc3MDAMTGxmqsV7a8ZcuW1RkSEREREREREVGdUq+SSZ07dwYAJCcn\nIzk5WW29GzduKB1DRERERERERET1LJnk5eUlPQ4NDVVb7+TJkwAACwsL9OvXr9rjIiIiIiIiIiKq\nK+pVMmnIkCGws7MDAKxbt05lHblcjv379wMA/Pz8YGlpWWPxEREREREREREZunqVTDI3N8fnn38O\nAAgLC8PSpUvLlefm5uKtt95Cfn4+jIyMMG/evNoIk4iIiIiIiIjIYNWr3dwA4MMPP8SJEycQEhKC\nL774AkePHoWnpydycnIQFBSER48eAQC+++47rpdERERERERERPQMmRBC1HYQNS03NxcfffQRNmzY\nAIVCUa7MxsYGK1euxLvvvltL0RERERERERERGa56mUwqJZfLcezYMcTGxsLMzAzt27fHsGHDYGFh\nUduhEREREREREREZpHqdTCIiIiIiIiIiosqpVwtwExERERERERFR1TCZREREREREREREWmMyiYiI\niIiIiIiItMZkEhERERERERERaY3JJCIiIiIiIiIi0hqTSUREREREREREpDUmk4iIiIiIiIiISGvG\ntR0AUX0RFRWFs2fPIiYmBnK5HDk5ObC3t0fPnj3h7+8POzs7g+vn3r17CAoKQlRUFIqLi9GiRQv4\n+fmhd+/eeomV6ob09HScOXMGN2/ehFwuR2pqKqytrdG+fXt4e3uja9euBtHPzZs3MX/+fK36Wrp0\nKdq1a6ePsMmAFRcX4/Llyzh//jzi4+Mhl8thZGSEZs2aoV+/fhg2bBiMjfXzUSghIQF//PEHoqKi\nIJfLkZWVBVtbW3Tq1AnDhw9H69attWpHCIHTp0/j+PHjiIuLg6WlJdzd3TFmzBi4uLjoJVaqG2Ji\nYnDmzBk8ePAAcrkc2dnZsLOzQ/fu3eHn5wcnJye99JOXl4ewsDBcvXoVCQkJSE5OhoWFBVq2bAkP\nDw8MGjQIRkbq//68c+dO7N+/v8J+rKyssG3bNr3ETIYtMzMTYWFhuH79OuRyOVJSUmBpaYm2bdvC\ny8sLzz//fLX2/8knnyA6OhoA4O7ujkWLFlV4TE5ODg4cOIALFy4gNTUVTZo0Qd++ffHKK6/Aysqq\nWuMlw1FSUoJr164hPDxc+twghICzszNeeOEFjBgxAqamptXW///+9z9s375d+v/AwEA4ODiorDtn\nzhw8evSowjYHDhyI2bNn6y3GcgQRVatjx46J5s2bCwBq/1lYWIgFCxaI4uJig+insLBQzJ49W8hk\nMpXtjBw5Ujx+/FjnWKluyMvLE88995wwMjLSOK58fHxEXFxcrffz559/ajy+7L/w8HCd46W64Ysv\nvhDW1tYax4GLi4s4fPhwlfqRy+WiY8eOGvuRyWRi3LhxIi0tTWNbDx8+FB4eHirbMDExEYsXL65S\nrFQ3hIWFCTc3N41jytTUVHzyySeioKCgSn1NmTJFmJmZaeyrY8eO4uzZs2rbmDt3rlbXXRsbmyrF\nSnXDCy+8IBo0aKBxLHh6eor79+9XS//btm0r11f//v0rPObYsWPC2dlZZazNmjUTJ06cqJZYybAs\nW7ZM2NjYaBy7Tk5O4rfffquW/pOTk0WTJk3K9RcdHa22fufOnbW69gYEBFRLvEIIwZlJRNUsNjYW\n8fHxAIBWrVphxIgR6Nq1K6ytrXHnzh1s2bIFcXFxWLBgAWJiYrBly5Za72fKlCnSXw9feukljB07\nFiYmJjhx4gT27NmDAwcOICUlBaGhoTAzM9MpXjJ8xcXFuHr1KgDA2toaw4YNQ//+/eHo6IjU1FTs\n27cPp0+fRnBwMDw8PBAeHg5nZ2eD6Gf58uUaZ4K0b9++0nFS3XLz5k1kZ2cDAF588UUMGTIEbdq0\nQUlJCcLDw/HLL78gLi4O/v7+2L17N8aOHatTP9nZ2bhz5w46duyIfv36oVWrVnBxcUFxcTFiYmKw\na9cuREdHY8+ePbh9+zb+/vtvmJubK7WTlpYGLy8v3Lt3DyYmJnj77bfRr18/ZGRkYNu2bbhy5Qr+\n85//oKioCAsWLKjKqSEDJ5fL8fDhQwCAq6srRowYge7du6NRo0a4f/8+tmzZgujoaKxYsQJRUVEI\nCgqCTCbTqa+IiAjputupUye4uLigUaNG0ky748eP486dO/Dy8kJoaCj69++vtq2GDRti8+bNasur\n86/5ZDguXryIkpISWFhYYOjQoRg4cCCcnZ2RlpaGw4cP4/jx4zh16hT69++P8PBwtGzZUm99JyYm\n4v/+7/8gk8lgYmKCwsLCCo85ffo0/P39UVhYCGdnZ7z//vto06YN7t27h59++gkJCQnw9fXFyZMn\n4eHhobdYyfDcvn0bGRkZAIBevXrB29sbbdu2hUwmw4ULF7Bt2zYkJSVh7Nix2LhxIyZPnqzX/mfM\nmIHU1FSYm5sjPz9f6+M8PT0xY8YMteVubm76CE+1aktTEZEQQoiNGzeKHj16iEOHDgmFQqFUnpGR\nIQYMGCBlj3X9K7m++jl06JBUZ+bMmUrl69atk8qXLVumU6xUN2RlZQlbW1uxfPlykZ6errLOsmXL\npPEwYcKEWu2n7Mykixcv6hQL/XuMHDlSjB8/Xty4cUNl+T///CPs7OwEANG4cWPx5MkTnfrJzs4W\nDx48UFteXFws3nvvPWls/ve//1VZb+rUqdIspiNHjpQrKyoqEq+88ooAIIyMjERERIROsVLdsHfv\nXuHu7i5+//13lTOJc3NzhY+PjzSmduzYoXNft27d0jhbOSQkRBgbGwsAolevXirrlM5Msre31zkO\n+vewtbUVCxcuFKmpqSrLAwMDpbHr6+ur175fffVVAUBMmzZNmq2vaWZSQUGBaNWqlQAgXF1dRXx8\nfLny2NhYqZ127dqJoqIivcZLhmXSpEli5MiR4vLlyyrL7969K5o2bSoACEtLS5GQkKC3voOCggQA\n0bx5czFt2rRKzUyaOHGi3uKoLCaTiKpZcnKyKCkp0VjnwYMH0i1lY8eOrdV++vbtK03rzc/PV1mn\nNCllZ2cnCgsLdYqXDF9xcbFISUmpsF7pmDE3Nxc5OTm11g+TSVRWYmJihXXWrFkjjZnt27dXWyyZ\nmZnCxMREABD+/v5K5XK5XPrC/tZbb6lsIykpSbodady4cdUWK9W+1NTUCr+0JiUlSWNq6NCh1RrP\n6NGjpfdJZmamUjmTSVSWNtdeb29vKTmuze9/bezZs0f6/JqRkaFVMmnLli3S2FZ369LOnTv1krgl\nw6fN2P3ll1+k8bB69Wq99Pv48WPh5OQkAIj9+/eXu3XY0JNJ3M2NqJo5ODhoXLgSeHpbWuktObdu\n3aq1fmJjY3H+/HkAwIQJE9TewlY6rTMtLQ2hoaE6xUuGr0GDBmjSpEmF9by8vAAA+fn50oKXhtgP\n1S/aLE5cOqYA3a+92mjYsCFsbW0BPF3c81n79+9HcXExAKidNu/o6Ah/f38AwOHDhys1BZ7qFnt7\n+woXhnd0dES3bt0AVO/YBYAWLVpIj1WNX6KyKnPtVSgUiIyMrHKfqampmDVrFgBg9erVaNSokVbH\n7d27FwBgZ2eHV199VWWdMWPGwMbGplx9+neqrc8Ns2fPRlJSEkaOHImRI0fqpc2awmQSkYEoKioC\nAAghaq2fM2fOSI89PT3VtlG27PTp03qLjeqm0jEFVO/4ral+qP6oqTEVHR2N1NRUAFC5i1Hptdfc\n3Bx9+/ZV207ptTc7OxuXL1/Wf6BUp9TU54aLFy8CAFq3bi0lRYmqQt/X3pkzZyIlJQV+fn4YPXq0\n1sedPXsWAODh4aE2gWtqaop+/foB4Gde0v/YPXz4MHbu3ImGDRti7dq1VW6vpnEBbiIDEBUVJW3t\n6O7uXmv93Lx5U3qsKY4WLVrA0tISubm51f4XUTJ8pbPTzMzMtN7+vLr72bdvH7Zu3Yq0tDRYW1tL\n2xH37Nmz2uKjuqfszMrquvbeuHED7777LoQQcHJywocffqhUp/Ta26ZNG42LFHfs2FF6fOvWLY2L\nIdO/W1JSkvT7t7rGbkZGBpYsWYKwsDAAwNKlSzXWLywsxKpVq3Dz5k3k5ubCzs4O3bt3x/Dhw9G8\nefNqiZHqptJrr5GRETp06FCltg4cOIBff/0V1tbW+PHHH7U+7tGjR8jKygJQ8XuoY8eOCA4ORnp6\nOuRyOZo2bVqlmKnu0ufnhoyMDLz//vsAgG+++Ubn6+SDBw8wb948xMTEQCaTwcnJCS+88AJ8fHxg\nYWFRpRgrwmQSkQFYuHCh9Hj8+PG11k/pbnAAKrygNWvWDFFRUYiLi9NfgFTnHD16VJoh4e/vD0tL\nS4PoR92XnoEDB2LTpk1o27at3mOkuiU7OxsrV64E8HQXQV9f3yq3ee7cOaxatQoAkJOTg0ePHuHW\nrVuQyWTw8vLCpk2b0LhxY6XjSq+9FV13y5bz2lu/LV68WLo1Ul+fG15//XWUlJSguLgYcrkcN2/e\nRE5ODtzc3LBy5coKZ3xkZWVhzpw5Ss8bGxvj3XffxcqVK2FlZaWXWKnuCgsLwx9//AEAePnll+Hg\n4KBzW0+ePMG0adMAAEuWLIGrq6vWx1bmM++z114mk+qnwsJCLFu2DMDTGWujRo2qUntz5sxBfHw8\n+vbti+nTp+vcztmzZ6VZdmU1adIES5YswXvvvVeVMDViMomolgUFBWHHjh0Anm5fre6e7Zrop/Qv\nNCYmJjAxMdHYXukHwtKtt6n+SU5OxtSpUwE8vT1n0aJFtd6PhYUFvLy80L17d7Ro0QIWFha4f/8+\n9u3bh4iICJw5cwa9e/fGuXPn0KlTp2qJl+qG2bNnSwmZzz77DPb29lVuMzY2FkFBQUrPDx48GF99\n9VW5tWfKKr32VvRFu2w5r73114kTJ7Bu3ToAQJcuXfDWW2/ppd2goCClNZEcHR3x1VdfwcfHR+Ox\nzs7OGDp0KNq3b48WLVqgqKgIERER2LVrF1JSUrB+/Xpcu3YNf/zxR7X90YEMX0ZGBt555x0IIWBs\nbFzhbLeKfPDBB0hMTESvXr0wc+bMSh1bet0FeO0l7Xz22WfSGl+zZ8+uVPLyWSEhIdi8eTOMjY2x\nYcOGCte9VUUmk6Fr167w9PREy5Yt4ezsjCdPnuDs2bPYt28fUlNTMXXqVMTExOCbb77ROVaNamvl\nbyJ6ujW1tbW1ACAaNWqkcXvpmuhnxIgRAoCwsLCosM3evXsLAMLNzU3P0VJdkJ+fL+3qB0D8+OOP\ntd5PWlqaxu3dV6xYIbXTrVu3Cnc/pH+vH374QRoLHh4eGrdGr4zY2Fixd+9esXfvXrF9+3bx1Vdf\niQ4dOkh9zZo1S6kvhUIhlb/22msa209KSpLqzpgxQy8xU91y7949YWdnJ/2uvn79ut7aDgoKEnv3\n7hW7d+8Wq1atEr6+vtIOsF27dhUxMTEqj3v48KHa3ecyMzPFK6+8Io3bjz/+WG/xUt1SXFwsfHx8\npLGwZMmSKrV35MgRAUAYGxuLq1evKpVXtJvboUOHpFi2bdumsa9NmzZJdYODg6sUN9VN27Ztk8ZA\njx491O54rY3MzEzh5uYmAIi5c+cqlWu7m5um7403b94ULVu2lNo5deqUzvFqwmQSUS2Jjo4WzZo1\nEwCEqampOHHiRK3389prr0lbtVakS5cuAoDo1KmTPsOlOqCkpESMGTNG+gU1ffr0OtPPlClTpPaO\nHz+uhyiprvntt9+EkZGRACDatm2r1VbAVVFcXCw++OADadwtWrRIqY6FhYUAIPz9/TW2FRMTI7Xz\n6aefVlfIZKDkcrlo3bq1ACAaNGgg9u3bV+19njx5UlhZWQkAonPnzmqTRprk5+eLtm3bCgDC0tJS\n5OXlVUOkZOjeeecd6foVEBAgFAqFzm1lZGQIFxcXAUB88sknKutUlEwKDQ2V4tmwYYPG/tauXSvV\nPXPmjM5xU9107NgxYWJiIgAIFxcX8fDhwyq19/777wsAonXr1iI3N1epXNtkUkWuXr0qfd7x8/Or\nQsTqcTc3ologl8vh5eWFhIQENGjQALt37y631WRt9VO69alCoSg3/VeVjIwMANB6+1X6dxBCYMqU\nKfj9998BAAEBAVizZk2d6WfGjBnS41OnTlW5Papbjh07hgkTJkChUMDFxQUnT57UaivgqmjQoAFW\nrVolbeO+cuVKaa2bUqXX3vT0dI1tlV53AV5765u0tDQMGTIEDx48gEwmw88//1xtt8WX9fLLL+Or\nr74C8HSh+CNHjlS6DTMzM0yePBkAkJubiwsXLug1RjJ8c+bMwebNmwEAfn5+2Lp1K2Qymc7tffbZ\nZ4iLi0OrVq2wYMECndoove4CvPaSemFhYRg1ahSKiorg4OCAEydOqL1lXRvnzp3D+vXrAQCBgYHV\nukB2jx49pJ0Iq+szL9dMIqphqamp8PLywv3792FkZIQtW7ZUeQE3ffXTpk0b6fHDhw/RpUsXlfWK\ni4uRkJAAAFzIuJ758MMPpQ+EI0eOxNatW3W6z7u2+im7a4xcLq9ye1R3nD59GqNGjUJhYSGcnJwQ\nGhoKNze3GulbJpPB19cXERERSE9Px71798rtAtOmTRskJibi4cOHGtspW85rb/2RmZkJb29v3Lhx\nAwCwZs0aTJo0qcb69/f3x2effQYAuHDhAl555ZVKt8Frb/01b948aWMCLy8v7N27F8bGVfsKeuXK\nFQBP10lUt2ZYWloaAODOnTsYM2YMAMDX11d675S9hmp77ZXJZOU+K9O/26VLlzBixAjk5uaicePG\nCAkJKberqi6uXr0KIQSsra2xYcMGbNiwQalO6bUeAKZPnw5LS0s0atRI+lxcGR06dEBYWBiysrKQ\nk5Oj900QmEwiqkHp6ekYOnSotLtPYGAg3nzzTYPpp/Qv58DTi526ZNI///wjLdLZtWtX/QRNBu+L\nL77A6tWrAQA+Pj749ddfq/yBsKb7KSgokB5r2oKd/l3Onz8PX19f5OXlwd7eHidPnkT79u1rNIay\nf80uLCwsV9atWzecO3cOjx49QlpaGuzs7FS2UfoFCuC1t77Izc3FiBEjcOnSJQDAt99+W26GZU3Q\nNHa1xWtv/fTtt99Km2YMGDAABw8ehJmZmd7av3XrFm7duqWxzuPHj6WNEVxcXKTnbWxs4OrqitjY\nWFy9elVjG6XX3pYtW8La2rqKUVNdcP36dXh7eyMzMxMNGzbEsWPH0KNHD721n52drXLDjmcFBwcD\ngM6bhFT3tZfJJKIakp2dDR8fH+kX1n//+99q2aqxKv14enrCwsICeXl5OHr0qNoEVOmFDQCGDx9e\n9aDJ4C1ZskTadeXll1/Gvn37quWXUnX3ExYWJj3mzI764dq1axg2bBiys7Nha2uLkJAQtYny6lS6\nAwygvA21j48PAgMDIYRAcHAwAgICVLZReu1t2bIldyOsBwoKCvDKK69I162vv/4an3zySY3HUXbs\nlv0yXhm89tY/a9euxdy5cwEAffv2xZEjR/S2k9/SpUvx+PFjjXWmTp2KtLQ0dOzYUUpotWvXrlwd\nHx8fbNiwARcvXkRKSgocHByU2klMTMS1a9cA8DNvfXH37l0MGTIEaWlpsLKywtGjR9GnTx+9tO3j\n44O9e/dqrLNz504cOHAAALBu3To4ODjolIQVQuCvv/4CALRo0aLCnbp1Ui0rMRFROXl5ecLT01Na\nTO3bb7812H4mTJggLdYdFRWlVJ6VlSUtevjcc8/pI2wycKtWrZLG1IABA0ROTk6d7Cc/P1/06tVL\nABAymUzcvn1br+2T4bl165ZwcHAQAETDhg3F33//XStxxMTESIsY9+rVS6k8Pz9fODs7CwCiZ8+e\nKneXO3PmjPT++Oqrr2oibKpFhYWFws/PT/qZf/HFF7USh0KhKLcDly7XzcjISGFpaSkAiFatWlVD\nlGRoNm/eLO0E2LNnT407rVaXihbgFkKIsLAwaWx/+eWXKut8+umnUp3a+h1CNSc6Olr6nmNubi5C\nQ0NrPAZ9LcD9008/Se3MnDlTfwGWwWQSUTUrLCwUw4cPl97MX3/9tU7tBAYGitGjR4vRo0eLR48e\nVVs/9+/fF+bm5gKA6N69u4iNjZXKMjIyhK+vL3fDqkc2btwofSDs27evyMzMrHQbERER0tjdvXt3\ntfSTmZkpFi5cqHJ7YCGeJhUGDhwojd1JkyZV9mVQHXP//n1pJ0srKytx9uxZndqZPHmyGD16tJg2\nbZrK8sDAQHH06FGV2wQrFApx7Ngx0apVK2nsHT16VGU769evl+q899575dq7fv26aNGihQAgHBwc\nRHp6uk6vheqGkpIS8frrr0vjYc6cOTq1s23bNunaqyoJdO7cObF+/Xohl8tVHh8dHV1uR82AgACl\nOuHh4SIwMFDExcWpbOPQoUPS+xCA2LNnj06vheqOX3/9VTRo0EAAEF27dhWpqamVbuP+/fvS2P35\n5591ikObZJIQQkrampiYiF27dpUr2759uzA2NhYAxKhRo3SKg+qO+Ph4acdMU1NTERwcrFM7s2fP\nFqNHjxZvvfWWTsdrk0zaunWr2Ldvn8jOzlYqy8nJEUuXLpXGro2NjYiPj9cplorIhBBCDxOciEiN\n5cuXSwtXWltbw9vbW2N9U1NT7Nq1S+n5yZMnY9OmTQCe3sf77G0a+uoHAH777TeMHz8eCoUCpqam\n6NevH0xNTfH3338jMzMTALBgwQLMnz9fYx9Ut0VHR6Nt27ZQKBQAni6cWXb3E1Xmzp2L3r17l3vu\n5MmTGDJkCADgyy+/xOLFi/XeT2pqqjQ93d7eHs2bN4ezszNMTU3x4MED3L59G6W/7oYNG4b9+/fD\n3Ny8olNAddiAAQOkW2vatWtXbk04VV588UV89NFHSs87OzsjKSkJbm5uiImJUSr38vJCaGgoLC0t\n4erqCicnJzRu3BjZ2dm4fv06kpOTAQDGxsb4/vvvMWvWLLUxvP3229i6dSsAwNHREc8//zwyMjLw\n999/Q6FQwNzcHCdOnICHh4eWZ4HqovXr1+P9998HAJibm2PEiBEVHrN7926lWxg+/vhjrFy5EgBw\n9uxZpXGzdetWvP3225DJZHB1dYWzszMcHR2hUCgQExNT7ro5ZMgQHDhwQOk2pR07duDNN9+ETCaD\ni4sLnJ2d4eTkhMLCQly/fl1abNvIyAiLFy/G559/rttJoTohNTUVzZo1Q1FREQBg4MCBKm8dK2vm\nzJnw9PQs99ylS5ek3/EzZszA2rVrKx2Li4sL4uPj0b9//3K3WT7r8ePH6N+/v3Q7p7u7O9q0aYN7\n9+6Ve+7cuXNo3LhxpeOgusPPzw+HDx8G8PR28ueff15j/W7dumHevHlKz3fs2BGRkZGwsbGpcKdA\nVT777DMsX74cwNPPyC1btlSqM27cOPz6668wMzOTrt/29vZIS0vDlStXkJOTAwBo3LgxDh48iAED\nBlQ6Dm1wzSSiapaVlSU91maxNV0XJtRnP2PHjkWzZs3w4Ycf4vLly+W2k2zdujWWLFmCcePG6RQn\n1R05OTlSggd4mhSqyIQJE5SSSTXRT6NGjbBw4UIcO3YMFy5cwOPHjxEREVHumB49emDWrFnSlyf6\ndyt7Tbx37x7u3btXLf3MmDEDtra2CA0NRWRkZLn1ZYCnuw2V7oZV0eKdmzdvRs+ePbF06VLI5XJp\njSSZTAZPT0+sXbsWnTt3rpbXQYaj7NjNz8/XapHWkpKSSq+H4eHhgVmzZuH48eO4e/cuHj16VK5c\nJpOhd+/emD59OiZOnKjyutmvXz/MmjULwcHBiIqKQmxsbLlyExMTDB06FJ9//jn69+9fqfio7snP\nz5cSSQBw5syZCo/x9fWtzpAqZG9vj/Pnz+Pjjz/Gzp07cfv2bdy+fRsAYGlpiQkTJmDFihXlFqKn\nf6ey196YmBiVf0AqS5dEkb688847AIATJ04gKioKUVFR5cptbW3xxhtv4Msvv0SzZs2qLQ7OTCKq\nZjdv3pR+KWmjQYMGePXVV5Wev3z5MqKjowEAQ4cOVfqlpq9+nhUdHY2oqCgUFxejRYsW/CJTj2Rm\nZiIkJKRSx/Tr10/pl1ZycrL0gdLd3V1pDOmrn1JZWVl49OgREhISkJ+fD1tbW3Tq1EnnnTCobjp5\n8mSlPui5uLjghRdeUHr+8OHDyM/Ph5WVFXx8fNQeX1JSIo271NRUWFhYoGnTpnB3d6/0boQKhQIR\nERGIj4+HhYUFOnbsWK0fBsmw3L17VykZXpFRo0bByMio3HPXr1+XkpuDBw/WeA1MTk5GXFwcEhMT\nIYRA48aN0blz5wpniZaVlJQktSGTyeDg4ICuXbtyFmg9kpeXhyNHjlTqmN69e8PNza3cc0+ePEFo\naCiApwu267KL1tGjR5Gbm4smTZoozXxSJzs7GxEREXj8+DHs7e3RrVs37t5Wj5w+fRopKSla13dy\nclI54yckJASZmZkwNTWFv79/peO4ceMG7ty5A+Dpou+aFq5XKBR4+PAh5HK59NnDxcUFHTt2rJE/\nnDKZREREREREREREWjOquAoREREREREREdFTTCYREREREREREZHWmEwiIiIiIiIiIiKtMZlERERE\nRERERERaYzKJiIiIiIiIiIi0xmQSERERERERERFpjckkIiIiIiIiIiLSGpNJRERERERERESkNSaT\niIiIiIiIiIhIa0wmERERERERERGR1phMIiIiIiIiIiIirTGZREREREREREREWmMyiYiIiIiIiIiI\ntMZkEhERERERERERaY3JJCIiIiIiIiIi0ppxbQdAREREZAhOnTqFU6dOISkpCUVFRQCAH3/8EWZm\nZlKdCxcuICQkBAkJCSgsLAQALF26FA4ODrUSs67+/PNP7Ny5EwDw888/13I0ujOk17FmzRr8888/\n6NKlCz788MNajYWIiKi6yYQQoraDICIiqmsSExPxn//8p0pt+Pv7w9/fX08Rka4KCgrw6quvIjg4\nWKksKysL1tbWUCgUmDhxInbs2KFU5969e2jbtm1NhKo3a9euxaxZswAAdfmjoCG9Dl9fXxw5cgTe\n3t44duxYrcZCRERU3TgziYiISAfp6enYtGlTldpwcXGpV8mk4OBgBAUFwcTEBIGBgbUdjmTFihUI\nDg6GTCbDhAkT0KdPH5ibmwOA9N/NmzdLiaRRo0Zh4MCBsLKyAgA4OjrWTuDPMNTzS0RERP8+TCYR\nERHpoGnTpti4caPKsoSEBMyfPx8A4OfnpzZh1LNnz2qLzxD9888/2LRpE8zMzAwq2bFnzx4AwNix\nY7F9+3aNdQYNGoSgoKAai60yKnN+X3rpJbXjty75t7wOIiKiuobJJCIiIh3Y2Nhg8uTJKstu3Lgh\nJZN69uypth4ZhsjISABAr169qlSnLunUqRM6depU22FU2b/ldRAREdU13M2NiIiI6q2CggIUFxcD\nAKytrdXWy87OrrAOERERUX3BmUlERES1pKCgAGfOnMHt27eRkJCArKws2Nvbo1evXhgyZAgsLCw0\nHjtjxgwAwKRJk+Dh4YHi4mIcPnwYV65cQWJiIgYOHIgJEyaUOy48PBwnTpxAcnIyHB0dMXjwYAwY\nMACA9rtR5eXl4c8//8SFCxeQkpICCwsLtGvXDsOHD4erq6tS/cjISKxYsQIREREAgOLiYqXZWlVd\n56eyMV28eBHr169HSUmJ9NyOHTtw6dIlle3n5uYCAP73v/8hLi5Oel7dIuqVjUeVgoICnD59GufP\nn0dycjLMzc3RokUL9O7dGy+88IJUT5fzq24XtNzcXHzwwQcQQsDX1xcjR47UGGPpOk0ymQwrV65E\no0aNquVcqFPRbm4HDhzA4cOH0bBhQ6xatQoAEBcXh99++w0xMTGwtLREnz594OfnBxMTkwr7O3/+\nPEJCQpCUlARHR0e89NJL8PDwqFTMlT0fRUVFmDt3LjIzM2FnZ4elS5eiQYMGKttevXo1IiIiIJPJ\nsGjRIjg7O1cqNiIiIq0JIiIi0qvr168LAAKAmD9/vso6M2fOFFZWVlK9Z/85OTmJ33//XW0fWVlZ\nUt2NGzeKiIgI0bp163JtTJ06Var/+PFjMWzYMJV9DRs2TGRmZooRI0YIAMLb21ttv5s2bRJOTk4q\n2zExMREffPCBKCwsLHfMn3/+qfZ1lv4zMzOr3EmuYky7d++uMCZt/qn6+eoSz7N+/vln0bRpU7X9\ntm3bVjx48EDn87tmzRqp7FkeHh4CgOjRo0eF575fv34CgOjVq5fKcn2cC000vQ4hhPjyyy8FAGFv\nby+EEOLbb78VxsbGSrF06tRJxMTEqO3nyZMnwtfXV+XrGD58eLW+f4QQYseOHRVeUw4dOiTV+eCD\nD9SfNCIiIj3gzCQiIqJaEB4ejgYNGmD06NFo1aoVmjdvjsLCQty9exd79uxBUlISXnvtNRw6dAgj\nRozQ2FZSUhIGDx4MU1NTfPTRR2jTpg1MTEzg7u4OACgsLMTQoUNx+fJlAE8XkR4+fDgsLCxw5coV\n7Nq1C6+//jqMjDTf/f7FF19g6dKlAID27dvj1VdfRYsWLZCdnY2QkBCEhobihx9+wKNHj6TZKgDQ\noUMHbNy4EcHBwdi3bx+MjY2VZiEZG+v2kUTXmPr06YONGzeiuLgY06ZNAwBMmDABgwYNUtnP7Nmz\nkZeXp7Sg+rOLqOsaT1lz5syRZtE0btwYY8aMQadOnaBQKPDw4UNcvHgR4eHhePz4MVq1aqX38ztx\n4kSEhYXh2rVruH79Orp27aqy3v379/HXX39JxzxLH+dCn1avXo1PP/0Uw4YNw0svvQQLCwucOnUK\nQUFBuHXrFkaOHIlLly4pzfopKiqCt7c3Lly4AADo378//Pz8YGFhgUuXLmHPnj0YN25chfFX5XwE\nBATgxIkT2LZtGxYvXozBgweXG6vx8fGYNGkSAOC5557D8uXL9XHKiIiI1KvtbBYREdG/jTYzky5c\nuCAKCgpUlsnlcvHiiy8KAKJ169aipKREqU7ZmUnW1tZiwIABIjMzU2V7X3/9tVT3u+++Uyq/dOmS\nsLGxEdbW1mpnVhw8eFBq4/PPP1cZ06ZNm6Q627dvVypfunRplWch6TumvLw8qTwwMFBtXzY2Nhp/\nnvqKZ8+ePVK5t7e3ePLkicq+oqKixOPHj8s9V5nzq2lGT0ZGhjA3NxcAxMcff6y2jXnz5kkzalJS\nUsqV6eNcaEPbmUmmpqbC0tJS7N27V6nO8uXLpTb279+vVL548WKpfPHixUrl4eHhwtrautrfP9nZ\n2aJDhw4CgGjevLlITU0VQghRUlIiPD09BQBhZWUlIiMjVZ4LIiIifWIyiYiISM+0SSZV5M6dO1Ib\nZ8+eVSovm0wyNTUVsbGxKtspLCwUjo6OAoDw8vJS29/atWvLJTGe1a1bN+mWHk3Gjx+v9rYnfSeT\n9BGTPpNJVY1HoVCI9u3bCwCiZcuWIisrS2M7z9JXMkkIIcaNGycAiGbNmqlMfAghpNsqR44cqVSm\nj5+NNrRNJkHDrV9FRUXCwcFBABBTpkxRKiu9LW3QoEFq41i1alW1v3+EEOLq1avCzMxMABB+fn5C\niPLJ4q1bt2psn4iISF+4mxsREZEB6tChA1xcXAA8XSxaE29vb6nus65cuYLk5GQAUFqUuayJEyfC\n1NRUZVlkZKS0uPPUqVM1xjJq1Cip36ysLI11q8LQYtJHPDdu3MDdu3cBADNnzqzVneNKb1tLSEjA\nyZMnlcrPnj2LBw8eAADeeuutcmWG9rMpNWXKFJXPGxsbo1+/fgCA27dvlyu7cuUKkpKSAADvvfee\n2rbfeeedGnn/9OjRAytWrAAAHDp0CO+88w4WLlwI4OmtcKpuNyQiIqoOXDOJiIioFl25cgXh4eGI\niYlBVlaWtE09AOTk5AAA5HK5xjZ69eqltuz69evS4969e6utZ21tjU6dOuHatWtKZaVrxQDArl27\ncPToUQCAEELpv4mJiQAAhUKBhIQEdOjQQWPsujK0mPQRT+maVgDg6emp9xgrY8iQIWjatCnkcjm2\nb9+OoUOHlivfvn07AMDOzk5pTS9D+9kAgKmpKTp16qS23MnJCQCQnp5e7vnSJBAA9O3bV+3xjRo1\ngru7O/755x+lMn2fj1mzZiE0NBQHDx7Eli1bAABt2rSp0m6IRERElcVkEhERUS24cOECpkyZUu7L\nqjoVzdhwcHBQW/bkyROt6mkqL53ZBAC//vqrxjbKys7O1rpuZRlaTPqIJzU1VXrctGlT/QSmowYN\nGiAgIADfffcd9u/fj+zsbGmmVH5+Pvbu3QsAGD9+vNKMHEP72QBAw4YNNS6QbWJiAuDpYttllX3/\nODo6auxDXXl1nI81a9bg0KFDUCgUAICNGzeiYcOGWrdNRERUVUwmERER1bDIyEgMHjwYubm5MDU1\nhZeXF3r06AEnJyeYm5tLu6rNnz8fCQkJ0swFdUq/CKtSdoe2kpISje2oKy/7Jfz777/X+kurm5ub\nVvV0YWgx6SOesjuuVfSzqgkTJ07Ed999h9zcXAQFBUm3UB08eBAZGRkAlG9xAwzvZ1MVhvr+mT9/\nvpRIAoDNmzdj8ODBWrVLRESkD0wmERER1bDly5cjNzcXjRs3Rnh4uNpbe77++usq91V2tkRCQgJs\nbW3V1o2Pj1f5vLOzs/TYw8ND4+1yNcXQYtJHPGXbiImJgaurq15i01WXLl3w3HPP4erVq9i+fbuU\nTCq9xa1jx47o06eP0nGG9rOpirLvn/j4eI3vn7i4OJXP6/t87N69W7q9rVu3boiIiMCOHTswdOhQ\nvPnmm1Vqm4iISFtcgJuIiKiGlS6oPWrUKLWJJLlcjtjY2Cr31bNnT+nx2bNn1dZLTEzEvXv3VJb1\n799fenzo0CGdYyk7y6Oq9BWTvugjnrJtlK6rUxn6PL+lShNIp06dQmxsLJKTkxESEgJA9awkwPB+\nNlVRdj2y06dPq60XHx9f7e8fALh//z7ef/99AMDAgQNx8eJFDBgwAAAwffp0REVFVal9IiIibTGZ\nREREVMNKb0/RtBbSN998o5e+OnfuLCWs1q5dW26B77J++OGHcrfNlOXm5ibdQrNmzRo8fPhQp1hK\n19wpKChAQUGBTm3oOyZ90Uc8rq6uUhs//fRTpZOJ+jy/pd544w2YmJhAoVBg586d2LlzJ4qLi2Fk\nZIQJEyaoPMbQfjZV4e7uDnd3dwBPX8uzayqV+v7779Xejqqv81FUVITx48cjMzMTdnZ22LlzJ0xN\nTbFz507Y2dkhOzsb48aNUxsjERGRPjGZREREVMNKZwsdOHBAadv1wsJCLFy4EFu3bq1wwWxtff75\n5wCebj3/9ttvIzc3t1z5li1bsHLlSri4uKhtY+XKlTA3N0d6ejoGDx6MM2fOqKyXn5+P48eP4/ff\nf1cqa9eunfT4zz//1OWl6D0mfdJHPN9++y1MTU2Rnp6Ol19+WZrFVlZubi527dqllGzS9/kFni7K\nPmzYMADAL7/8gl9++QUAMHjwYI234Rnaz6Yq/vOf/wAA7ty5g4CAAKWFsX/66SesXr262t8/X3zx\nhTQeNm3aJPXn6uqKTZs2AXi6I2Dp+52IiKg6cc0kIiKiGvbpp58iKCgIeXl5GDJkCHr37o327dsj\nNzcX586dQ0pKCjZv3ozvvvsOKSkpVe5v4sSJOH78OHbv3o0dO3YgODgYgwYNgoWFBa5cuYLbt29j\nzpw5iIyMRFxcnMrbpZ577jns2bMHAQEBiI6OxqBBg9CuXTv06NEDFhYWSE5ORmJiIiIjI5GXl4eA\ngACMGTOmXBsDBw6Eo6MjkpOTMWrUKHh5ecHBwQEymQwmJiaV3tpcHzHpkz7i6dWrF7Zu3YpJkybh\n3r176NOnD7p164bOnTujpKQEDx8+xM2bN5GdnY2LFy+WS+jo+/yWmjhxIg4dOoRbt25Jz6m7xU2f\n58JQvPHGGzhx4gS2bt2KvXv34uTJk/D09ISFhQUuX76MyMhIfPTRR7hz547adZOqej6OHz+OlStX\nAgBmzJiBkSNHlmt/5MiRmD59OtatW4fvv/8eXl5eUhKQiIioWggiIiLSq+vXrwsAAoCYP3++yjqn\nTp0Sbdu2leqV/nN1dRW///67EEKIzp07CwBi6tSpSsdnZWVJx2zcuLHCmIqLi8W8efOEhYVFuf6s\nrKzE/PnzhUKhEF5eXgKAeO2119S2c+fOHfH6668LExMTpdgBCEtLS+Hj4yMOHjyo8vjTp0+LFi1a\nKB1nZmZW4Wuojpjy8vKkeoGBgWr7sLGx0fjz1Fc8pS5duiSGDBkiZDKZ0vFWVlYiICBAJCUlKR2n\n7flds2aNVFaRgoICYWdnV67/7OzsCo/T17nQpKLX8eWXXwoAwt7eXmM7M2bMEABEhw4dVJaXlJSI\nRYsWCSsrK6X4582bJxQKhRgxYoQAILy9vdX2o8v5SExMFI6OjgKA6Natm8jLy1PZdl5enujatasA\nIBwdHYVcLtf4momIiKpCJkQF+w0TERFRpTx58gRBQUEAnt7SVnYR7LIUCgUuX76Mu3fvwtjYGG5u\nbujTp480M2jfvn1IS0uDu7t7uUV8AaC4uBhbt24FAAwYMEDtQt7Pys7ORlhYGFJSUuDo6Ii+fftK\nO1R16dIFN2/exLRp07Bu3TqN7eTm5uLixYuQy+UoKSmBo6MjnJyc0KFDB5iZmWk8VqFQ4OrVq4iK\nikJOTg4UCgWMjY0xadIkrV6DPmMqKSmRdsby8PBAx44dVdb75ZdfUFBQoPHnqY94npWSkoJLly4h\nNTUVDRs2RPPmzdG5c2dYWlqqPUab83vr1i389ddfAIDJkydXGMeJEyektX6aNWuG4cOHaxV/KX2c\nC1Uqeh2XL1/G1atXYW5urnaNJwAIDw/HzZs3YWtrq3GGVG5uLsLCwpCUlARHR0f06dMHjRs3BgCE\nhITg0aNHcHV1hbe3t8a4K3M+Sl8DALz00kto3bq12nYfPHiAP/74A8DT2VDPP/+8xjiIiIh0xWQS\nERER4fHjx3ByckJJSQl++uknTJ06tbZDIiIiIiIDxQW4iYiICKtWrUJJSQlkMlmFsyqIiIiIqH5j\nMomIiKge2LdvH2JiYpSeLy4uxqpVq7Bs2TIAwKhRo9CyZcuaDY6IiIiI6hTe5kZERFQP+Pr64siR\nI2jfvj1atWoFJycnZGRkIDw8HMnJyQCA1q1b49y5c3B2dq7laImIiIjIkBnXdgBERERU/caMGYPb\nt2/j7t27uHv3brkyU1NTBAQEYNmyZXB0dKylCImIiIioruDMJCIionrkwYMHePjwIRITEwEAzs7O\n6NOnD6ysrGo5MiIiIiKqK5hMIiIiIiIiIiIirXEBbiIiIiIiIiIi0hqTSUREREREREREpDUmk4iI\niIiIiIiISGtMJhERERERERERkdaYTCIiIiIiIiIiIq0xmURERERERERERFpjMomIiIiIiIiIiLTG\nZBIREREREREREWmNySQiIiIiIiIiItIak0lERERERERERKQ1JpOIiIiIiIiIiEhrTCYRERERERER\nEZHWmEwiIiIiIiIiIiKtMZlERERERERERERaYzKJiIiIiIiIiIi0xmQSERERERERERFpjckkIiIi\nIiIiIiLSGpNJRERERERERESktf8HiBI2kgQEvKMAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# compute the coupling length based on the normal mode effective indices\n",
        "L_c = []\n",
        "for _, result in hybrid_waveguide_batch_results.items():\n",
        "    n_1 = result.n_eff.sel(mode_index=0).values[0]\n",
        "    n_2 = result.n_eff.sel(mode_index=1).values[0]\n",
        "\n",
        "    L_c.append(lda0 / (2 * (n_1 - n_2)))\n",
        "\n",
        "# plot the coupling length\n",
        "plt.plot(n_eff_list, L_c, c=\"red\", linewidth=3)\n",
        "plt.ylim(0, 7)\n",
        "plt.xlabel(\"Target effective index\")\n",
        "plt.ylabel(\"Coupling length (μm)\")\n",
        "plt.show()"
      ],
      "id": "b1876df3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## FDTD Verification of the Coupling Efficiency\n",
        "\n",
        "We use the target effective index of 2.17, a rounded value near the\n",
        "lower end of the phase-matched range from the converged mode analysis.\n",
        "This keeps the design away from the edge of the plasmonic interpolation\n",
        "while giving a short coupling length, without tuning to a specific\n",
        "previous geometry. The corresponding silicon waveguide and plasmonic\n",
        "waveguide widths can be calculated by checked interpolation. The optimal\n",
        "coupling length from this analysis turns out to be around 1.65 μm. We\n",
        "will verify the coupling efficiency using FDTD. To do so, we define a\n",
        "[Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html#tidy3d.Simulation)\n",
        "with a\n",
        "[ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html)\n",
        "as excitation and two\n",
        "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n",
        "instances to measure the coupling efficiency and return loss. To help\n",
        "with visualization, we also use a\n",
        "[FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html)\n",
        "in the $yz$ plane.\n",
        "\n",
        "To ensure accuracy, again we use a fine grid resolution and turn on the\n",
        "volumetric averaging for metal. In addition, to make the simulation\n",
        "domain as compact as possible and prevent simulation divergence, we use\n",
        "the\n",
        "[Absorber](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Absorber.html)\n",
        "boundary condition instead of the default\n",
        "[PML](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PML.html).\n",
        "The simulation can diverge if a dispersive medium is inside PML or the\n",
        "distance between the structure and PML is too close. To minimize the\n",
        "artificial reflection of the absorber, we use 60 layers instead of the\n",
        "default 40 layers."
      ],
      "id": "64b32b9d-ce8e-48d0-bd8d-34387bc98db5"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Silicon waveguide width is 373.00 nm.\n",
            "Plasmonic waveguide width is 254.97 nm\n",
            "Optimal coupling length is 1653.67 nm"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"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\" ></div>\n",
              "    <script>\n",
              "        \n",
              "        /**\n",
              "        * Simulation Viewer Injector\n",
              "        *\n",
              "        * Monitors the document for elements being added in the form:\n",
              "        *\n",
              "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
              "        *\n",
              "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
              "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
              "        * configuration of the first started script (e.g. viewer URL) applying.\n",
              "        *\n",
              "        */\n",
              "        (function() {\n",
              "            const TARGET_CLASS = \"simulation-viewer\";\n",
              "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
              "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
              "\n",
              "            class SimulationViewerInjector {\n",
              "                constructor() {\n",
              "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
              "                        this.injectViewer(node);\n",
              "                    }\n",
              "\n",
              "                    // Monitor for newly added nodes to the DOM\n",
              "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
              "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
              "                }\n",
              "\n",
              "                onMutations(mutations) {\n",
              "                    for (var mutation of mutations) {\n",
              "                        if (mutation.type === 'childList') {\n",
              "                            /**\n",
              "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
              "                            * It may be the case that setting content with innerHTML does not trigger.\n",
              "                            *\n",
              "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
              "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
              "                            */\n",
              "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
              "                            for (var node of viewers) {\n",
              "                                this.injectViewer(node);\n",
              "                            }\n",
              "                        }\n",
              "                    }\n",
              "                }\n",
              "\n",
              "                injectViewer(node) {\n",
              "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
              "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
              "                        // Mark node as injected, to prevent re-runs\n",
              "                        node.classList.add(ACTIVE_CLASS);\n",
              "\n",
              "                        var uuid;\n",
              "                        if (window.crypto && window.crypto.randomUUID) {\n",
              "                            uuid = window.crypto.randomUUID();\n",
              "                        } else {\n",
              "                            uuid = \"\" + Math.random();\n",
              "                        }\n",
              "\n",
              "                        var frame = document.createElement(\"iframe\");\n",
              "                        frame.width = node.dataset.width || 800;\n",
              "                        frame.height = node.dataset.height || 800;\n",
              "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
              "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
              "\n",
              "                        var postMessageToViewer;\n",
              "                        postMessageToViewer = event => {\n",
              "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
              "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
              "\n",
              "                                // Run once only\n",
              "                                window.removeEventListener('message', postMessageToViewer);\n",
              "                            }\n",
              "                        };\n",
              "                        window.addEventListener(\n",
              "                            'message',\n",
              "                            postMessageToViewer,\n",
              "                            false\n",
              "                        );\n",
              "\n",
              "                        node.appendChild(frame);\n",
              "                    }\n",
              "                }\n",
              "            }\n",
              "\n",
              "            if (!window.simulationViewerInjector) {\n",
              "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
              "            }\n",
              "        })();\n",
              "    \n",
              "    </script>\n",
              "    "
            ]
          }
        }
      ],
      "source": [
        "target_n_eff = 2.17\n",
        "w = interp_checked(\n",
        "    target_n_eff, n_eff_silicon, w_list, \"silicon waveguide interpolation\"\n",
        ")  # calculate the silicon waveguide width given the target effective index\n",
        "p = interp_checked(\n",
        "    target_n_eff, n_eff_plasmonic, p_list, \"plasmonic waveguide interpolation\"\n",
        ")  # calculate the plasmonic waveguide width given the target effective index\n",
        "L_c_opt = interp_checked(\n",
        "    target_n_eff, n_eff_list, L_c, \"coupling length interpolation\"\n",
        ")  # calculate the coupling length given the target effective index\n",
        "\n",
        "print(f\"Silicon waveguide width is {w * 1e3:.2f} nm.\")\n",
        "print(f\"Plasmonic waveguide width is {p * 1e3:.2f} nm\")\n",
        "print(f\"Optimal coupling length is {L_c_opt * 1e3:.2f} nm\")\n",
        "\n",
        "g = 0.08  # gap size between the silicon waveguide and the plasmonic waveguide\n",
        "inf_eff = 1e3  # effective infinity\n",
        "buffer = lda0 / 2  # buffer spacing for padding the simulation domain\n",
        "\n",
        "# define both waveguide structures\n",
        "slot_left = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-s / 2 - p, h / 2 + g, 0), rmax=(-s / 2, h / 2 + g + t, inf_eff)\n",
        "    ),\n",
        "    medium=ag,\n",
        ")\n",
        "\n",
        "slot_right = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(s / 2, h / 2 + g, 0), rmax=(s / 2 + p, h / 2 + g + t, inf_eff)\n",
        "    ),\n",
        "    medium=ag,\n",
        ")\n",
        "\n",
        "silicon_waveguide = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-w / 2, -h / 2, -inf_eff), rmax=(w / 2, h / 2, L_c_opt)),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "# define a mode source\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=3, num_pml=mode_num_pml)\n",
        "mode_source = td.ModeSource(\n",
        "    center=(0, 0, -buffer / 2),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    direction=\"+\",\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=0,\n",
        ")\n",
        "\n",
        "# add a mode monitor to measure transmission at the plasmonic waveguide\n",
        "mode_monitor_t = td.ModeMonitor(\n",
        "    center=(0, 0, L_c_opt + buffer / 2),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"T\",\n",
        ")\n",
        "\n",
        "# add a mode monitor to measure reflection at the silicon waveguide\n",
        "mode_monitor_r = td.ModeMonitor(\n",
        "    center=(0, 0, -0.75 * buffer),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"R\",\n",
        ")\n",
        "\n",
        "# add a field monitor to visualize field distribution\n",
        "field_monitor = td.FieldMonitor(\n",
        "    size=(0, td.inf, td.inf), freqs=[freq0], interval_space=(1, 2, 4), name=\"field\"\n",
        ")\n",
        "\n",
        "run_time = 5e-13  # simulation run time\n",
        "\n",
        "# construct simulation\n",
        "sim_coupler = td.Simulation(\n",
        "    center=(0, h / 2, L_c_opt / 2),\n",
        "    size=(2 * (2 * p + s + w), 3 * (t + g + h), L_c_opt + 2 * buffer),\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=50, wavelength=lda0),\n",
        "    structures=[slot_left, slot_right, silicon_waveguide],\n",
        "    sources=[mode_source],\n",
        "    monitors=[mode_monitor_r, mode_monitor_t, field_monitor],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec(\n",
        "        x=td.Boundary.absorber(), y=td.Boundary.absorber(), z=td.Boundary.absorber(num_layers=60)\n",
        "    ),  # using a larger number of layers to minimize reflection\n",
        "    subpixel=td.SubpixelSpec(\n",
        "        metal=td.VolumetricAveraging()\n",
        "    ),  # turn on volumetric averaging for metal\n",
        "    medium=sio2,\n",
        "    symmetry=(-1, 0, 0),\n",
        ")\n",
        "\n",
        "sim_coupler.plot_3d()"
      ],
      "id": "38df27d5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Since a fine grid resolution is used, we would like to estimate the cost\n",
        "before running the simulation to ensure it’s affordable."
      ],
      "id": "dba83423-bad1-421f-a680-57b6ffaf24dd"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:13 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'coupling'</span> with resource_id                           \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-8ecc6ba7-a724-487e-a4ef-7f4fc5c32cd5'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ecc6ba7-a724-487e-a4ef-7f4fc5c32cd5\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ecc6ba7-a72</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ecc6ba7-a724-487e-a4ef-7f4fc5c32cd5\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4-487e-a4ef-7f4fc5c32cd5'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"584a6bfd41214faf976178303fb95066\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:15 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.576</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim_coupler, task_name=\"coupling\")\n",
        "estimated_cost = web.estimate_cost(job.task_id)"
      ],
      "id": "de2531b7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Run the simulation after the cost is checked."
      ],
      "id": "9c6ca46c-fae8-4b56-bd97-c46b4a66553a"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:16 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"55240eefd3a94482beebd84f13a3f9f2\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:17 UTC </span>Loading results from data/simulation_data.hdf5                     \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data_coupler = job.run(path=\"data/simulation_data.hdf5\")"
      ],
      "id": "916cf312"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After the simulation is finished, extract and plot the coupling\n",
        "efficiency and return loss from 1500 nm to 1600 nm. We see a good\n",
        "coupling efficiency of around 1 dB across the entire wavelength range\n",
        "and a very low return loss, indicating efficient coupling."
      ],
      "id": "3b59e823-4f87-47bc-a3e9-cb0022a11f5f"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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L7XarTZs2Wrx4sSpXrmzZ/ZOTk9WgQQMdOXJEbdu21Zo1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\n"
          }
        }
      ],
      "source": [
        "# extract the transmission data from the mode monitor\n",
        "T = np.abs(sim_data_coupler[\"T\"].amps.sel(mode_index=0, direction=\"+\")) ** 2\n",
        "R = np.abs(sim_data_coupler[\"R\"].amps.sel(mode_index=0, direction=\"-\")) ** 2\n",
        "\n",
        "plt.plot(ldas, 10 * np.log10(T), c=\"red\", linewidth=3, label=\"Coupling efficiency\")\n",
        "plt.plot(ldas, 10 * np.log10(R), c=\"blue\", linewidth=3, label=\"Return loss\")\n",
        "plt.ylim(-45, 0)\n",
        "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "plt.legend()\n",
        "plt.ylabel(\"dB\")\n",
        "plt.show()"
      ],
      "id": "9c0b1ba9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the field distribution to visualize the coupling."
      ],
      "id": "da7144c2-5124-4b96-8630-81d933e7d3e2"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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s27YNgGVKre3ej458eb+9Wb9+PaZMmQLAktDo008/9ZiVF7BkW33xxRcBAJGR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\nJ7aMh/bt2+upp57S5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EYfiYzKZxCrVq3S6NGjVVhYqOOPP17z589XSUmJ8vPz9fzzz6te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\nAMB2JJ8AAAAAANuRfAIAAAAAbPf/AaoCN5sDDtZDAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "sim_data_coupler.plot_field(field_monitor_name=\"field\", field_name=\"E\", val=\"abs\")\n",
        "plt.show()"
      ],
      "id": "31a365e0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation of the Plasmonic Antenna\n",
        "\n",
        "Once the coupling region design is complete, we move on to design the\n",
        "plasmonic antenna. In this case, we will explore the Vivaldi antenna\n",
        "design with exponential tapers. That is, the taper profile is described\n",
        "by $x = A e^{Rz} + B$, where $R$ determines the shape of the profile.\n",
        "\n",
        "The design and optimization of the antenna usually require a good amount\n",
        "of simulations, but for the sake of keeping the notebook short, we will\n",
        "skip the optimization procedure and only simulate the optimized design.\n",
        "The optimization can be done via parameter sweep or other optimization\n",
        "techniques as demonstrated in other examples in the [example\n",
        "library](https://www.flexcompute.com/tidy3d/learning-center/example-library/).\n",
        "\n",
        "For the optimal design, the antenna length $L_a$ is 1.75 μm and $R$ is 3\n",
        "μm$^{-1}$. We will first create the antenna structure and then simulate\n",
        "it."
      ],
      "id": "da467dd4-e680-4d1b-948d-73a524a47e64"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [],
      "source": [
        "L_a = 1.75  # antenna length\n",
        "R = 3  # shape parameter\n",
        "\n",
        "# set up the system of equations\n",
        "# s/2 = A * exp(R * L_c_opt) + B\n",
        "# s/2+p = A * exp(R * (L_c_opt+L_a)) + B\n",
        "\n",
        "# this can be written as a matrix equation:\n",
        "# [exp(R * L_c_opt), 1] [A] = [s/2]\n",
        "# [exp(R * (L_c_opt+L_a)), 1] [B] = [s/2+p]\n",
        "\n",
        "# create the matrix\n",
        "matrix = np.array([[np.exp(R * L_c_opt), 1], [np.exp(R * (L_c_opt + L_a)), 1]])\n",
        "\n",
        "# create the right-hand side vector\n",
        "vector = np.array([s / 2, s / 2 + p])\n",
        "\n",
        "# solve the system of equations\n",
        "A, B = np.linalg.solve(matrix, vector)\n",
        "\n",
        "\n",
        "# function to compute the x coordinate of the exponential curve given the z coordinate\n",
        "def compute_x(z):\n",
        "    return A * np.exp(R * z) + B\n",
        "\n",
        "\n",
        "n_pt = 100  # number of points for the polyslab\n",
        "\n",
        "# compute the vertices for the left antenna arm\n",
        "vertices = [[compute_x(z), z] for z in np.linspace(L_c_opt, L_c_opt + L_a, n_pt)]\n",
        "vertices.append([s / 2 + p, L_c_opt])\n",
        "\n",
        "# create the left antenna arm structure\n",
        "antenna_left = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=1, slab_bounds=(h / 2 + g, h / 2 + g + t)),\n",
        "    medium=ag,\n",
        ")\n",
        "\n",
        "# similarly for the right antenna arm\n",
        "vertices = [[-compute_x(z), z] for z in np.linspace(L_c_opt, L_c_opt + L_a, n_pt)]\n",
        "vertices.append([-s / 2 - p, L_c_opt])\n",
        "antenna_right = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=1, slab_bounds=(h / 2 + g, h / 2 + g + t)),\n",
        "    medium=ag,\n",
        ")\n",
        "\n",
        "# create the plasmonic waveguide structures\n",
        "slot_left = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-s / 2 - p, h / 2 + g, 0), rmax=(-s / 2, h / 2 + g + t, L_c_opt)\n",
        "    ),\n",
        "    medium=ag,\n",
        ")\n",
        "\n",
        "slot_right = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(s / 2, h / 2 + g, 0), rmax=(s / 2 + p, h / 2 + g + t, L_c_opt)\n",
        "    ),\n",
        "    medium=ag,\n",
        ")"
      ],
      "id": "073f82a9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To ensure the antenna structure is created correctly, we can plot the\n",
        "shape and visualize it."
      ],
      "id": "7d23a180-e62b-42c0-96f0-2b98864e3fa4"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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CwkL9/e9/1/LlyyVJDz74YIvLLC4u1ssvv6xNmzapsLBQqampGjRokEaPHq3k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\nRK5CYII=\n"
          }
        }
      ],
      "source": [
        "antenna_left.plot(y=h / 2 + g + t / 2)\n",
        "plt.show()"
      ],
      "id": "eeb383f1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To investigate the performance of the antenna, we need to perform near\n",
        "field to far field projection using the\n",
        "[FieldProjectionAngleMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldProjectionAngleMonitor.html).\n",
        "More specifically, we want to calculate the antenna directivity in the\n",
        "E-plane and H-plane. Therefore, we focus on `phi=0` and `phi=pi/2`\n",
        "respectively, where `phi` is the azimuth angles with respect to the\n",
        "global z axis. Note that the field projection monitor encloses the\n",
        "antenna but intersects the silicon waveguide. We require the surfaces of\n",
        "the field projection monitor to be in uniform medium only. To get around\n",
        "this, we set `exclude_surfaces` to `[\"z-\"]`. This way, the surface in\n",
        "the $z-$ direction is ignored in the calculation. This will introduce a\n",
        "small inaccuracy as some radiation in that direction is not captured.\n",
        "However, for the antenna, we are mainly interested in the forward\n",
        "radiation so this inaccuracy is acceptable.\n",
        "\n",
        "For the directivity calculation, we also need to know the total radiated\n",
        "power and thus we define a\n",
        "[FluxMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FluxMonitor.html)\n",
        "surrounding the antenna."
      ],
      "id": "fe862306-885b-459b-86c3-8ba090b8c131"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [],
      "source": [
        "# create a FieldProjectionAngleMonitor to perform the near field to far field transformation in spherical coordinates\n",
        "theta_array = np.linspace(0, 2 * np.pi, 200)  # theta angle range\n",
        "phi_array = np.linspace(0, np.pi / 2, 2)  # phi angle range\n",
        "\n",
        "# define the field projection monitor\n",
        "n2f_monitor = td.FieldProjectionAngleMonitor(\n",
        "    center=(0, h / 2, (L_c_opt + L_a) / 2),\n",
        "    size=(2 * p + s + w, 2 * (t + g + h), L_c_opt + L_a + 1.2 * buffer),\n",
        "    freqs=[freq0],\n",
        "    name=\"n2f_monitor\",\n",
        "    custom_origin=(0, 0, 0),\n",
        "    phi=phi_array,\n",
        "    theta=theta_array,\n",
        "    exclude_surfaces=[\"z-\"],\n",
        ")\n",
        "\n",
        "# define a flux monitor to calculate the total radiated power\n",
        "flux_monitor = td.FluxMonitor(\n",
        "    center=n2f_monitor.center,\n",
        "    size=n2f_monitor.size,\n",
        "    freqs=[freq0],\n",
        "    name=\"power\",\n",
        ")"
      ],
      "id": "3f68b728"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Create the antenna simulation. The overall settings are similar to that\n",
        "of the coupler simulation."
      ],
      "id": "08728fff-dfd3-40dc-9846-f72268df0fe1"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [],
      "source": [
        "# construct simulation\n",
        "sim_antenna = td.Simulation(\n",
        "    center=(0, h / 2, (L_c_opt + L_a) / 2),\n",
        "    size=(2 * (2 * p + s + w), 3 * (t + g + h), L_c_opt + L_a + 2 * buffer),\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=50, wavelength=lda0),\n",
        "    structures=[slot_left, slot_right, antenna_right, antenna_left, silicon_waveguide],\n",
        "    sources=[mode_source],\n",
        "    monitors=[flux_monitor, n2f_monitor],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec(\n",
        "        x=td.Boundary.absorber(),\n",
        "        y=td.Boundary.absorber(),\n",
        "        z=td.Boundary(plus=td.PML(), minus=td.Absorber(num_layers=60)),\n",
        "    ),\n",
        "    subpixel=td.SubpixelSpec(metal=td.VolumetricAveraging()),\n",
        "    medium=sio2,\n",
        "    symmetry=(-1, 0, 0),\n",
        ")"
      ],
      "id": "9489f58b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize the simulation in 3D."
      ],
      "id": "ba6f9e12-121a-4803-a723-5f3cf278a096"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"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\" ></div>\n",
              "    <script>\n",
              "        \n",
              "        /**\n",
              "        * Simulation Viewer Injector\n",
              "        *\n",
              "        * Monitors the document for elements being added in the form:\n",
              "        *\n",
              "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
              "        *\n",
              "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
              "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
              "        * configuration of the first started script (e.g. viewer URL) applying.\n",
              "        *\n",
              "        */\n",
              "        (function() {\n",
              "            const TARGET_CLASS = \"simulation-viewer\";\n",
              "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
              "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
              "\n",
              "            class SimulationViewerInjector {\n",
              "                constructor() {\n",
              "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
              "                        this.injectViewer(node);\n",
              "                    }\n",
              "\n",
              "                    // Monitor for newly added nodes to the DOM\n",
              "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
              "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
              "                }\n",
              "\n",
              "                onMutations(mutations) {\n",
              "                    for (var mutation of mutations) {\n",
              "                        if (mutation.type === 'childList') {\n",
              "                            /**\n",
              "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
              "                            * It may be the case that setting content with innerHTML does not trigger.\n",
              "                            *\n",
              "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
              "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
              "                            */\n",
              "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
              "                            for (var node of viewers) {\n",
              "                                this.injectViewer(node);\n",
              "                            }\n",
              "                        }\n",
              "                    }\n",
              "                }\n",
              "\n",
              "                injectViewer(node) {\n",
              "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
              "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
              "                        // Mark node as injected, to prevent re-runs\n",
              "                        node.classList.add(ACTIVE_CLASS);\n",
              "\n",
              "                        var uuid;\n",
              "                        if (window.crypto && window.crypto.randomUUID) {\n",
              "                            uuid = window.crypto.randomUUID();\n",
              "                        } else {\n",
              "                            uuid = \"\" + Math.random();\n",
              "                        }\n",
              "\n",
              "                        var frame = document.createElement(\"iframe\");\n",
              "                        frame.width = node.dataset.width || 800;\n",
              "                        frame.height = node.dataset.height || 800;\n",
              "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
              "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
              "\n",
              "                        var postMessageToViewer;\n",
              "                        postMessageToViewer = event => {\n",
              "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
              "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
              "\n",
              "                                // Run once only\n",
              "                                window.removeEventListener('message', postMessageToViewer);\n",
              "                            }\n",
              "                        };\n",
              "                        window.addEventListener(\n",
              "                            'message',\n",
              "                            postMessageToViewer,\n",
              "                            false\n",
              "                        );\n",
              "\n",
              "                        node.appendChild(frame);\n",
              "                    }\n",
              "                }\n",
              "            }\n",
              "\n",
              "            if (!window.simulationViewerInjector) {\n",
              "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
              "            }\n",
              "        })();\n",
              "    \n",
              "    </script>\n",
              "    "
            ]
          }
        }
      ],
      "source": [
        "sim_antenna.plot_3d()"
      ],
      "id": "769652cc"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the simulation to the cloud. The cost of this simulation will be\n",
        "slightly higher than that of the previous simulation due to its larger\n",
        "simulation domain."
      ],
      "id": "03ae9fb9-07e8-4938-98a3-a7efa03595c5"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:18 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'antenna'</span> with resource_id                            \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-3028b339-b8a4-4e7e-b7a5-e1bda0ce7b6d'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-3028b339-b8a4-4e7e-b7a5-e1bda0ce7b6d\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-3028b339-b8a</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-3028b339-b8a4-4e7e-b7a5-e1bda0ce7b6d\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4-4e7e-b7a5-e1bda0ce7b6d'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"dd966edf121b4d6a8e7c42a27fc6c863\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:19 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3.163</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:20 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"88d131bd56c948fdbacd5aeffc77de0c\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:05:21 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data_antenna = web.run(simulation=sim_antenna, task_name=\"antenna\")"
      ],
      "id": "4a168630"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Calculate and plot the antenna directivity in the E-plane and H-plane.\n",
        "We see a strong forward radiation with a directivity over 13 (~11.2 dB)."
      ],
      "id": "8f609f15-c69c-428c-b356-995bcfbb507c"
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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phg4d6nCb/v37s3DhQg4ePMi7777bbOmPq666itTUVG6//Xaio6MdbjNkyBAeeuihJrOz\nnn/++Xz33XeMHDmy9U+ohS688EK7eYZgP7exPbTH86ifDTU6Oprzzz+/PZomhBDCRWgURVGc3Qgh\nhBAdJy8vr8n5aZ6engQEBBAYGEhkZCT+/v5tOkZ6erpaf2/o0KEOA7EDBw6oQ0dHjx6tJkxprZKS\nErKzsykvL8ff358+ffoQERHRpn0BZGZmUlBQgNFoJCIigqioqEaB2onak5GRQVVVlZptNC4uzi5B\nUFVVlVrOIzIykuHDh7do3zt27FB7VgHGjBnToqHBbTleS56HI2+//TZ33XUXYO2xfOaZZ054LCGE\nEF2HBIxCCCGEaLORI0eyd+9eNBoN6enpxMfHO7tJQggh2pEMSRVCCCFEm/z444/qvMdp06ZJsCiE\nEN2QBIxCCCGEaLXMzEzuvPNO9f4tt9zixNYIIYToKDIkVQghhBAtsnjxYjZu3Eh5eTn79u3DYDAA\n1pIlBw4cUGtHCiGE6D6krIYQQgghWmTPnj2NyrK4ubnxzjvvSLAohBDdlAxJFUIIIUSbREVF8fnn\nn3PWWWc5uylCCCE6iAxJFUIIIUSL7N27l8LCQtzc3AgLC2Po0KHSsyiEEN2cBIxCCCGEEEIIIRyS\nIalCCCGEEEIIIRySgFEIIYQQQgghhEMSMAohhBBCCCGEcEgCRiGEEEIIIYQQDknAKIQQQgghhBDC\nIQkYhRBCCCGEEEI4JAGjEEIIIYQQQgiHtM5ugBBCCOEshYWFbNiwgby8PPz9/Rk6dCgTJkxAo9G0\n6PGbNm1i+/bteHt7M336dBISEjq4xUIIIUTnkoBRCCFEj1NVVcX999/Pxx9/jMlksluXmJjIe++9\nxxlnnNHk48vLy7nsssv45Zdf1GVubm7cf//9vPjiiy0OOIUQQghXp1EURXF2I4QQQojOotPpOPPM\nM/nrr78AmDhxIuPGjaOkpISVK1dSU1ODVqtl9erVnHPOOQ73ceGFF7Jy5Uri4uI477zzqK2t5bvv\nvqOqqopXXnmF+++/vzOfkhBCCNFhJGAUQgjRoyxcuJCXX34ZgP/85z/ceuut6rrs7GymT59OSkoK\nvXr1Ij09neDgYLvHZ2ZmEh8fz4QJE9iwYQPe3t4AHDlyhLFjx+Ll5UVOTk6nPR8hhBCiI0nSGyGE\nED1GQUEBb7/9NgCXXHKJXbAIEBsby8cffwxAWVkZr776aqN9pKWlAXDZZZepwSJAfHw806ZNIzc3\nF51O10HPQAghhOhcEjAKIYToMb777jvq6uoAuPvuux1uM2nSJMaOHQvAF1980Wh97969Afj+++8x\nm83q8sLCQjZu3EhoaCg+Pj7t3XQhhBDCKSTpjRBCiB7j559/BsDPz4/Jkyc3ud1ZZ53F9u3bOXz4\nMBkZGfTr109dl5SUxOTJk/ntt98YOXIks2fPRqfT8cUXX1BYWMjjjz/e4c9DCCGE6CwSMAohhOgx\n/v77bwAGDx6MVtv0V+DIkSPtHlM/YARYvnw55513Hvv27WP//v3q8quvvpp//OMf7dtoIYQQwokk\nYBRCCNFjHDlyBIA+ffo0u11sbKz6e0ZGhsP1O3fu5Pvvv2f37t1qHcZx48a1a3uFEEIIZ5OAUQgh\nRI9QV1eH0WgEIDAwsNlt66+vqqpyuI1Wq+XCCy/kwgsvbLc2CiGEEK5Gkt4IIYToEepnLvXy8mp2\n2/rrJeOpEEKInkwCRiGEED1C/RIYBoOh2W31er3DxwkhhBA9jQSMQgghegQfHx810U1Tw0xtqqur\n1d8DAgI6tF1CCCGEK5OAUQghRI/Rt29fALKysprdrv76+Pj4jmySEEII4dIkYBRCCNFjDB06FIAD\nBw5gNpub3M5WfqP+Y4QQQoieSAJGIYQQPcaMGTMA65DUrVu3NrndunXrAGuP5IABAzqlbUIIIYQr\nkoBRCCFEj3HxxRfj4eEBwL///W+H2+zevZvNmzcDMG/evE5rmxBCCOGKJGAUQgjRY8TExLBgwQIA\nPv30U7744gu79cXFxVx77bWANdnNgw8+2OltFEIIIVyJRlEUxdmNEEIIITpLVVUVp512Gnv27EGj\n0TBz5kzGjx9PcXExX375JcXFxWg0Gr788kvmzp3r7OYKIYQQTiUBoxBCiB6nuLiY2267ja+//rrR\nuujoaN59911mz57thJYJIYQQrkUCRiGEED1WWloa69evJzc3F39/f4YOHcqMGTPUeY5CCCFETycB\noxBCCCGEEEIIhyTpjRBCCCGEEEIIhyRgFEIIIYQQQgjhkASMQgghhBBCCCEckoBRCCGEEEIIIYRD\nEjAKIYQQQgghhHBIAkYhhBBCCCGEEA5JwCiEEEIIIYQQwiEJGIUQQgghhBBCOCQBoxBCCCGEEEII\nhyRgFEIIIYQQQgjhkASMQgghhBBCCCEckoBRCCGEEEIIIYRDEjAKIYQQQgghhHBIAkYhhBBCCCGE\nEA5JwCiEEEIIIYQQwiEJGIUQQgghhBBCOCQBoxBCCCGEEEIIhyRgFEIIIYQQQgjhkASMQgghhBBC\nCCEckoBRCCGEEEIIIYRDEjAKIYQQQgghhHBIAkYhhBBCCCGEEA5JwCiEEEIIIYQQwiEJGIUQQggh\nhBBCOCQBoxBCCCGEEEIIhyRgFEIIIYQQQgjhkASMQgghhBBCCCEc0jq7AUIIIYQzmEwmamtrMZlM\nWCwWh7fS0lKKiorw8/MjNjYWNze3Jm++vr54eno6+2kJIYQQ7UoCRiGEEF2GxWKhuLiYwsJCKisr\nqa6upqqqSv1Z//cTLaurq2v39nl4eBAQEIC/v7/dz9YsCw0NJSoqCg8Pj3ZvnxBCCNFaGkVRFGc3\nQgghRM9mMpkoLCwkLy+PvLw8cnNz1d/r3y8oKMBkMjm7uZ0iPDyc6Oho9da7d+9G96OiovD29nZ2\nU4UQQnRjEjAKIYToUGazmaysLFJSUkhPTyc3N7dRQFhYWIjFYmnxPr28vAgMDGxzL57tdz8/P7Ra\nLW5ubri7uzcaZmoymfjpp59QFIWZM2ei1WodDl01m83U1ta2uKezqfVVVVXU1NS06u/bq1cvhwFl\nfHw8AwcOJCEhAS8vr9b+24QQQghAhqQKIYRoB4qiUFRUREpKSqPb4cOH0ev1LdpPQECAXdDTVM9a\nYGAgGo2mg5+VdQisRqNBo9Gg1WqbnaMYGhraLsfU6XQOe1cb3i8pKQGgrKyMsrIykpOTHe5Po9Go\nwWPDW58+fXB3d2+XdgshhOiepIdRCCFEi1VVVZGamuowMKyoqGj2sX369GHAgAHExMQ0GQz6+/t3\n0jNpGYPBwJo1awA499xzXSqpjcFgID8/v8mgMj09nbS0tGaH8Hp5eTFgwACHwWR4eHinBOVCCCFc\nm/QwCiGEaMRkMnHo0CF27NjBjh072LNnDykpKeTl5TX7uNDQUIfBx4ABA/D19e2k1vcMnp6exMXF\nERcX1+Q2JpOJI0eOOAzws7Ky0Ov17N+/n/379zd6bFBQEAMHDmTo0KGMGTOGMWPGMHLkSPk/CiFE\nDyM9jEII0cOZTCYOHDigBoc7duxg9+7d6HQ6h9v7+vqSmJjYKChMTExst2GZrsKVexhPVm1tLYcP\nHyYlJaVRr3FxcbHDx7i7uzN48GA1gBwzZgyjRo2SIFIIIboxCRiFEKIHMZlMJCcn2wWHe/bscRgc\narVahg0bxpgxYxg9ejSDBw9m4MCB9O7dGzc3Nye0vvN154CxOaWlpaSmpnLw4EF2797Njh072LVr\nF9XV1Y22dXNzU4PIU045RQ0iXW14sRBCiLaRgFEIIbopi8XC33//zbZt29ixYwc7d+5kz549DusP\nenh4qMGh7TZ8+PAeX7KhpwaMjlgsFlJSUti5c6d6sWHnzp1UVVU12laj0ZCUlGT3eho7diw+Pj5O\naLkQQoiTIQGjEEJ0ExaLhb1797JhwwY2bNjA//73P8rKyhpt5+HhwYgRI9TeIFtwKKUXGpOAsXkW\ni4XDhw/b9Vjv3LmTysrKRtt6enoyceJEpk6dytSpU5k4caIEkEII0QVIwCiEEF1USwJEDw8PRo4c\nadfTM2zYMAl8WkgCxtazWCykpaXZBZDbt29vFETWDyCnTZvGxIkTe3yPthBCuCIJGIUQoouwWCzs\n27dPDRB///13hwHihAkT1F6cSZMmSUKSkyABY/swm83s2bPH7uJGwzIsXl5ejXogJYAUQgjnk4BR\nCCFcVEsDxPHjx6u9NBIgti8JGDuGLYD87bff1ACyYQ+kBJBCCOEaJGAUQggXUlJSwo8//siqVav4\n9ddfKS0ttVuv1Wob9SD6+fk5qbXdnwSMncNsNrN79267HkhHAeTkyZM5//zzmTNnDgMGDHBSazuH\nwWCgvLwcnU6H2Wx2dnOEcBp3d3d8fX0JCgqSz2AnkYBRCCGc7NChQ6xevZpVq1axceNGLBaLuk6r\n1TbqQZQAsfNIwOgcJpOpUQDZMBvr4MGDmT17NnPmzGHixIm4u7s7qbXtr6CgoNHFIiEEhISEEBkZ\n6exm9DgSMAohRCczmUxs2rRJDRJTUlLs1sfHxzNnzhzOO+88Tj31VAkQnUgCRtdgMpnYtWsXa9eu\nZdWqVWzbts1ufVhYGLNmzWLOnDmcffbZXboGZGlpKQUFBep9jUaDh4cHGo3Gia0SwjkURcFoNFI/\nXImKiqJXr15ObFXPIwGjEEJ0gsrKStauXcvq1av54Ycf7HoPNBoNEyZMUHtLhg4dKieHLkICRteU\nm5vLDz/8wKpVq1i3bp1dbVFPT0/OPPNM5syZw+zZs4mNjXViS1vHZDKRmpqq3o+OjiYwMBA3Nzcn\ntkoI57JYLFRWVpKXl6cuS0xMRKvVOrFVPYsEjEII0UEyMzPVXsQNGzZgNBrVdT4+Ppx99tnMmTOH\nWbNmyRAbFyUBo+urra1l3bp1rFq1iu+//96udw5g9OjR6sWYU045xaUvxlRUVJCbmwtAeHg4YWFh\nTm6REK6juLiYoqIiAHr37k1QUJCTW9RzSMAohBDt6MCBA3zxxResXLmSvXv32q2Ljo5WT1zPPPNM\nKVreBUjA2LVYLBa2bdvGqlWrWL16Nfv27bNbHxMTw/nnn8+8efM444wzXK7nLicnR032k5CQIK83\nIeoxGAykpaUBEBgYSExMjJNb1HNIwCiEECcpLy+PL774gs8++4ydO3farRs1apRd74arnaCK5knA\n2LUdOXLErpffZDKp62JiYrjyyiuZP38+I0aMcGIrjzty5Ag6nQ6tVktiYqKzmyOEy0lJScFsNuPj\n40N8fLyzm9NjSMAohBBtUFVVxbfffstnn33G+vXr7TKbnnHGGVx66aXMnj2buLg4J7ZSnCwJGLuP\niooK1q5dyzfffMOqVavs5j0OGzaM+fPnc+WVV9KnTx+ntTE9PR29Xo+npycJCQlOa4cQriotLQ2D\nwYCXlxf9+/d3dnN6DAkYhRCihYxGI2vXruXTTz9l1apV6HQ6dd3QoUO5+uqrueKKKyRI7EYkYOye\nKisr+e677/j000/59ddfG13wmT9/PnPnziU4OLhT22ULGOVkWAjH5D3iHBIwCiFEMxRF4a+//uLT\nTz9l+fLllJSUqOtsQ9quuuoqRowY4dLJNETbSMDY/eXm5rJs2TI+/fRTdu3apS739PTk/PPPZ/78\n+Zx33nl4eXl1eFvkZFiI5sl7xDkkYBRCCAcOHTrEZ599xmeffUZ6erq6PDAwkLlz5zJ//nxOP/30\nblUsXDQmAWPPkpycrL7vMzMz1eXBwcFceumlzJ8/n1NPPbXD5iLLybAQzZP3iHNIwCiEEMeUlJTw\n6aef8umnn7J9+3Z1uYeHB7NmzeKqq67i/PPPx9vb24mtFK2hKAomkwmz2YzJZHJ4s1gsKIqiFoa2\n/a4oCiUlJWoad1vdL1tPskajUX93c3NDq9U2eXN3d5eER12IxWJh06ZNfPbZZyxfvpyysjJ1XVxc\nHFdeeSXXXXcdgwYNatfjysmwcMRsNlNVVQVAQEBAj75QKe8R55CAUQjRoymKwsaNG3n33Xf56quv\n0Ov16rrTTjuNq666iksvvZSQkBAntlKYzWbq6ursbnq9HoPB0GQgaAsUXUVzQaW7uzuenp54e3vj\n5eWFt7e3eqsfpIrOZzAY+Omnn9S5y/U/I6ZNm8Ytt9zC7NmzOXToEFu3biU5ORmz2Yy7uztvvPFG\nq45V/2S4b9++5OTkqOuCgoKk7txJUhSFiooKAPX9dSLV1dWYTCbc3NwIDAzs6CY69NdffzFp0iQA\ntm3bxtixY53SDlcgAaNzSMAohOiRysvLWbp0Ke+++y779+9Xlw8YMIDrr7+eK6+8UlJ2dwKj0Yhe\nr28UCDYMDuuXQzgZjoI1Nzc3u95C2+8ajYbCwkKMRiNgraOp0WjseiJtPy0Wi8OAtT2+Yt3d3RsF\nkQ3ve3t74+HhIYFlB6uoqODbb79lyZIl/P77781u6+7u3urXbf2TYa1WS2Fhobqud+/e9O7du03t\nFlbZ2dlqFtwHHniAl19++YSPmThxIlu2bCEmJobs7OyObqJDEjAeJwGjc2id3QAhhOgsiqKwbds2\n/vvf/7Js2TI1y6lWq+Wiiy7illtuYdq0aTJ0sJ0ZDAaqq6uprq6mpqbG7vfW9gDaeuFsN09Pz2aH\ngtbvwXN3d291QFV/DuOoUaNaPYexqUCyYS+oyWTCYDA0CpwVRcFsNlNbW0ttbW2zx3Jzc8PHxwd/\nf3/8/Pzw9/dXb97e3hJMtoOgoCCuv/56rr/+eg4cOMDdd9/NunXr7Lbx9/enurr6pC4WGI1GSktL\n7S5QCCGEs0jAKITo9nQ6HcuXL+ett95i586d6vK+ffuyYMECbrjhBqKiopzYwq7PZDJRU1NjFxDa\ngkKDwXDCxzvqMXPUq9bVgnk3Nzc8PT3blCxHURSHQaSj+xaLBYvFov4PGnJ3d7cLIuv/Lol82mbw\n4MG88847ZGVlkZGRwYcffsjmzZuprq4GrBcLnn76aRYsWEBkZGSL96soinpxIDIykvz8/A5pvxBC\ntJQEjEKIbiszM5P//Oc/vP/++2o5DDc3N2bPns0tt9zC2Wef3aOTB7SF0WikoqKCiooKu6Cwfk1K\nR7RarV2Pl7+/P76+vvj4+ODl5SW9Xw5oNBq8vLzw8vJqdu6aoigYjUbq6uqora1t1JtbV1eH2Wym\nsrKSysrKRo/39PS0CyADAwMJDg6W5E4tMHDgQAYOHAjATTfdxN69e7nkkks4fPgwAIsWLeLpp5/m\nsssu46677mL8+PEnfK2Xl5fj6elJQEAAoaGhEjAKIZxOAkYhRLeiKAq//fYbb7/9NitXrlQLcoeF\nhbFgwQJuvfVWdQ6LaJ4tOCwvL1d/2npPHHFzc1MDj4ZDIj09PSUo7CAajUbtxXSUlMNoNDrs/bUl\n8zAYDBgMBrtMoGDt9Q0ODlZvQUFB+Pj4dNbT6pJGjBjBmDFjOHz4MBqNhsGDB9uV6hg7dix33XUX\nl112mcOAvKSkhMrKSsLDw+nbt68MR+0GbO8/sJZlqj9KwmAwqPOoO+K4iqK0eARBc+00Go24ubm1\n+QKrwWBAo9Hg4eHRpscL55OAUQjRLeh0OpYsWcJbb71FcnKyuvxEJ2jCymg02gWG5eXlDoc2grXM\nSFBQEAEBAXZBoY+PjwSFLsjDw0MN+uqzDXltGERWVFSg0+nQ6/UUFBRQUFCgPqZ+EBkUFKT2RMr/\nvTE3Nzf+/vtvNmzYwFtvvcXKlSvZvn071157LQ888AA333wzd911F9HR0YD1pHrbtm30799fHYZ9\nop574fp++OEHLrroIgAyMjKIiIjghRde4JNPPuHo0aO4ubkxcuRIbrvtNm688cY2vZcUReGvv/7i\nhx9+YN26dWRkZFBUVISiKISGhnLqqady1113MX369Ba3MzY2ljfeeIP/+7//U3vMk5KSuOWWW7jz\nzjtPGOR+//33vP/++/zxxx+UlpYC1sRhZ599Ng899BBDhgxp9fMUziMBoxCiS6uoqOA///kPr732\nmppR0MPDg3nz5nHnnXcyYcIEJ7fQ9diCw/oBYnPBYf3gIDg4GF9fXwkQuoH6Q15DQ0Pt1un1+kav\nkeaCyPqvj+DgYOmJPEaj0TBt2jSmTZvG0aNH+c9//sN7771HcXExzz//PK+88grXX389Cxcu5MMP\nPyQgIAAPDw+5uNVNVVVVcdlll7Ft2zZ1ZIBer2fnzp3cfPPNrFmzhmXLlrW6J66iooLJkyfbLfP2\n9qauro6SkhJWrlzJypUrefjhh3nhhRdOuD+DwcD555/P2rVr0Wg06sWL5ORk7rnnHnbv3s2HH37o\n8LE1NTVcddVVrFy5Ul3m5eWFxWIhLy+PJUuW8Pnnn/Puu+9y/fXXt+p5CueRgFEI0SUVFhby+uuv\n884776jzssLDw7nrrrtanWSiuzMajZSUlFBSUkJxcTHl5eUOt6vfE2ULEiU47Jm8vLyIjIy0ex/p\n9Xq7HuiKigpqa2vR6/UUFhbalYDw8/MjLCyM0NBQwsLCJIAE4uLieP7551m8eDHLly/nlVdeYd++\nfbz77ru89957KIrCc889R2hoqLznOoHtosiJtGct14cffpj09HSWLl3KJZdcgo+PDykpKTz22GN8\n8803fPvttzz55JMtCurqc3Nz4/TTT+eSSy5h+vTpxMTEEBwcTHV1Nbt27WLRokVs2LCBf/3rX4wb\nN45LLrmk2f098sgj7N69m88++4wLL7wQX19f0tLSuPXWW1m3bh0fffQR8+bNY+bMmXaPUxSFefPm\n8cMPP+Dp6cnDDz/MDTfcQHx8PIqisGPHDh555BHWr1/PzTffTP/+/TnjjDNa/XcUnU/qMAohupTM\nzExeeuklPvjgA+rq6gBrttOFCxdyww03yIkpx1PyFxcXNxkgenp6Nuo5lCGljdUvq3HuuedKRtEG\nDAZDo55IR+U/elIAefnll7N8+fIT1mFUFIUffviB5557js2bNwPw/PPPM2nSJKKjoxk4cCA6nU6t\nEyt1GE9e/TqMrdXWOowrVqxQh3pqtVo2b97cqI6ioihccMEFrF69Gnd3d44cOUJsbKy6/mTrMFos\nFs4//3zWrFnD2LFj2bZtW7Pt9PX1ZceOHSQlJdltU1VVRUJCAkVFRcydO5evvvrKbv2nn37K1Vdf\nDViHpM6aNavRcUwmE9OmTePPP/9k/PjxbNmypVXPReowOof0MAohuoTk5GT+9a9/8fnnn6snYUOG\nDOGRRx7h8ssv79GT6VsSIHp5edmdsPv7+0twKE6ap6cnERERREREqMtsw+Bsr0dbxtaamhoyMzOB\n4wGk7TXZnQPIpmg0Gs4//3x27NjB5s2b1YsROp2OyspKDh482GiosIOdtO3gp5wCO3Y4XjdmDNQr\nP9QqTfVBLFgA7713cvtoZ7ayPSdSXV3dbr2MV1xxhcNgT6PR8Morr7B69WrMZjOffPIJjz32WLsc\nE6w9kAsXLmTNmjVs376dkpKSZl9bt9xyS6NgESAgIICLL76Yd999V73IUd8bb7wBwJw5cxwGi2AN\nmhcvXsxZZ53F1q1bOXr0KHFxcW18ZqKzSMAohHBpW7du5fnnn2fFihXqsvHjx/PYY48xe/bsLleX\nrz00DBArKioaZVO0zUuznZRLgCg6i7e3NzExMcTExADWALK4uFgNIiWAPG7fvn0899xzgLV3pn//\n/up8YlsSIhsZENa+7rzzTl5++eUTbjdx4sRW94I1Zc6cOU2uS0xMZMiQISQnJ7Nx48aTPpbZbKam\npkbNFF7/ok5ycjKnnXZak48977zzmlxnS1aTl5eHoijq90pZWZla53jatGnqa9f2uq3/01aKBmDn\nzp0SMHYBEjAKIVyOoiisX7+e559/nl9//VVdPmPGDB599FGmTZvW44Kfmpoa8vPzyc/Pp6SkRAJE\n0WV4e3sTGxurDrFrSQAZGBhIVFQUkZGR9OrVq1u+li0WCzfccAMGg4FZs2Zx6aWXkp6ejq+vL1qt\nFg8PD7v3elFREZ6enoSGhvbIC2XdwaBBg064Pjk5maNHj7Z630ajkSVLlvDVV1+xa9cuioqKmtz2\nRHM3mwvgAgICAOvrV6fT4evrC0BaWpoanN53333cd999LWq3rUaycG0SMAohXIbFYmHlypU8//zz\n6hwLjUbDRRddxCOPPMK4ceOc3MLOoygKZWVlapBYVVVlt14CRNFVtSSArKyspLKykpSUFDUBT1RU\nFOHh4Wi13ePUpba2lu3btwPWhFN33nknU6dOJTo6mqCgIDX7rO3k3mQykZmZSVZWFhEREURHR9O2\nqnjCWWzB1YnWN1fv1pHCwkJmzpzJ7t277ZZ7e3vj5eUFWL9TbAni9Hp9s/trbq52/e8ZW4AI1kyt\nNn5+fi1+n8rFj66he3zqCiG6NIvFwpdffslTTz3FgQMHAOs8h/nz5/PQQw8xePBgJ7ewc5hMJoqK\nitQg0WAw2K0PDg4mKiqKqKgoAgMDJUAU3ULDAFKn06nvgeLiYvR6PUePHlVr1oWHh6vvg+5SfsI2\n5D42NhZ/f3+8vLzUpF4NWSwW9W8TkZNDZGRkmwuqO9TU3MaT8X//Z731cA0v/DW1PjAwsFX7tZW6\n8PDwYOHChVx66aUMGjTIbmj3yST8aYn6bV6yZMkJM7GKrkUCRiGE0yiKws8//8yjjz7Krl27APDx\n8eHmm2/mgQce6BHzGmwnxwUFBRQVFdldsa1/chwZGdlj5nWJns3Hx4d+/frRr18/jEajehGloKAA\ng8Gg1oHcs2dPl76I4uXlxVtvvWW3LDExkV69euHr60tYWBhGo5G8vDwAgoKCCAgIUIfwGo1GcnNz\nKSoqIjo6mrCwMOmtcXH79+9n1KhRza4HWpX9s66ujm+//Rawlu14+umnHW7XlgyvrZGQkICbmxsW\ni4UdO3ZIwNjNSMAohHCKrVu38sgjj/Dbb78B1l6Gu+66i4ULFxIeHu7k1nUcRVGoqKhQe1DqD+MB\nuu3wOyHawsPDQy0noSgKpaWl6nunurpaLelx8OBBfHx81OCxKwRPtmGo9dUvGRAREYFOp1MDRj8/\nP6KiogBrL2NJSQm5ubkYjUaOHj1KQUEBvXv3JiQkpEsFzj3J119/zVVXXeVw3a5du0hLSwNoVW3C\nwsJCdTTKKaec0uR23333XSta2nohISFMmDCBzZs3s3TpUhYtWtRtRgAICRiFEJ3s0KFDPP7443zz\nzTeAtRfthhtuYPHixXZ1p7qb6upqsrOzyc7OVrMg2gQEBKgnut01wYcQJ0uj0RAaGkpoaChDhw6l\nurqagoICNRGUTqcjIyODjIwMPDw8iImJITY2tlsGULbRByEhIRQWFpKfn49erycjI4OCggJiYmK6\nXI9rT7By5UrWrl3bqOC9wWDg7rvvBqw97PPnz2/xPkNCQtSevd9//12tpVjfli1bePPNN0+u8S3w\nyCOPcMEFF5Cdnc0tt9zChx9+2Oxw6fpZVoVrk4BRCNEpcnJy+Oc//8mHH36o1rS6+OKLefbZZx3W\ne+oO9Ho9OTk5ZGVl2WWls5342oJEPz8/5zVStJ2iwMGD8OefsHEjbNkC1dXg6Xn8tnw5OHp9m83w\n+ecwfTpIMfY28ff3x9/fn4SEBAwGgxo4FRQUYDQaOXLkCEeOHMHHx0edI9nauWEnYrFY1BN9G1tp\nAYvF0qgH8aabbmp2SGJrubu7Ex0dTXh4uPrca2trSU1NJSAggJiYGPz9/dvteOLkzJ8/n4suuogn\nnniCuXPnEhQUxN69e/nnP/+pltJ45plnCAsLa/E+/f39mTFjBj///DNvvvkmnp6eXHXVVURHR5Of\nn8+3337LSy+9xNVXX817La2F2UZz5szhlltu4d133+WTTz5h//793HPPPUycOJFevXqpIwRSUlL4\n6aefyMrKareSJaJjScAohOhQZWVlvPDCC7z55ptqEoepU6fywgsvMGHCBCe3rv2ZTCby8/PJysqi\nqKjIrvxFSEgIsbGx9O7dW81cJ7oQvd6aEOTPP48HiSdKCW8yOV6+cydcc4319yFD4KyzYMYMOOMM\nOJa2XrScp6enGhSazWYKCgrIzs6moKAAnU5HamoqqampBAUFERsbS0xMTLvMCbZYLLzzzjsO1ymK\n0mjd1KlT2zVgtNFqtcTGxhIREUFubi7FxcVUVVVx8OBBgoOD2+35ipPzxBNPUFpayuOPP87jjz/e\naP0999zD/fff3+r9/vvf/+a0004jLy+Pl156iZdeeslu/RVXXMGiRYs6PGC0tSUiIoLnn3+eHTt2\ncI3tc86BnpLQrjuQgFEI0SFqa2t56623eOGFF9TetZEjR/LCCy8wc+bMbjUMxWKxUFRURHZ2Nnl5\neWoPKliv/tpOZKUnsevQ62HbNjjtNE/gAgCecv8H95hfJZDmMx3aaerCwC+/HP89Odl6e+MN0Gph\n4kRrAHnWWTBunHWZaDF3d3d13qPBYCAvL4+srCxKSkqoqKigoqKC/fv3Ex4eTmxsLNHR0Xh4eLT5\nWA0T1zRn9OjRrdq/h4eHmvyrJZ8fnp6exMfHExkZSU5OjjrHs7y8nLCwMHr37t1syYTuzs3NjaCg\nIIAWB9ABAQEEBQWpjzsZnp6erFy5kg8//JClS5eSnp6Oh4cHo0eP5rbbbuOss85y+DitVqse39G8\n9oSEBPbu3csrr7zCTz/9RE5ODoGBgSQlJXHdddcxd+5cCgsL1X04eg14eHio65ub/+vp6alu5+h7\n3M3Njaeeeoobb7yRDz74gA0bNnD06FFqa2sJCwsjMjKSpKQkZs6cyfTp00/wFxOuQqM0rP4shBAn\nwWQy8dFHH/GPf/yD3NxcwJrx7emnn+byyy93+UQULaUoCuXl5WRnZ5OTk2NX18rLy4uYmBj69OlD\nUFBQtwqOuxu9HlJSYP9+a8xm+5maqmA2O/6/xZLFUPYzhGT15xCSCaKy8cZHjkDfvo2XT5sGGzac\nuIFBQXDddfDII3As4Ylom9raWnWIeP3yBm5ubkRFRdGnTx8iIiKc+hlVP+lNazJlNqW6upqcnBz1\n+Wo0GjWpliTU6hwrVqxQ5xVmZGQQHx/v3AZ1ce39HhEtI58WQoh2oSgK33zzDY8//jgpKSkARERE\nsGjRIm6++eZuc1W7traWrKwssrKy7JLX2OYS9enTp0tkaOzJ8vPhlVdg9Wo4fNg6nbCxpoP8bPqQ\nTR/Wco7d8pgwPadPNvHQTaWMSqgCgwGiox3vZMYMa7S6dWtTDbCqqLD2PP7f/8Fdd8HChdCK+U3i\nOF9fXxITE0lMTKSiokJNQlVXV0dubi65ublqspw+ffp0iwRU/v7+DBw4kMrKSnJycqitrSU/P5+i\noiKioqKIiIho3xqOQohuSXoYhRAnbc+ePdx55538+eefgHUIz8KFC7nvvvu6RcIFRVEoKCjgyJEj\nFBQUqMs1Gg0RERHExsbKFfsuoLgYXnwR3n4bdLqOPdYll8A//wlDh55gw4oK+O03WLfOOkz12MWW\nJvn7w6ZNMHx4u7W1J1MUhZKSErKyssjNzcVUb85pUFAQ8fHxxMTEtHnIamt1ZO+JrSxJbm6uOiLC\nNvezOwTHrkp6GNuX9DA6hwSMQog2Ky8vZ/Hixbz99ttYLBY8PDy44447eOyxx7pFLUWdTsfRo0fJ\nzMxEVy/CCAoKIi4ujpiYGEle0wWUl1t7FF9/3ZrE9GS4uzffIVifRgOXXw7/+AcMHNjCAxw9ejx4\n/OWXxkl1hgyBvXutDRHtypYsJysri/z8fHW5u7s7ffr0IT4+vl3msTWnM06GLRYLxcXFdgFyYGAg\ncXFxUjevA0jA2L4kYHQOCRiFEK2mKApLly5l4cKFFBYWAnD22Wfz1ltvMbDFZ8auSVEUioqKOHLk\nCPn5+WqWU3d3d2JjY4mPjyc4ONi5jRQtUllpHc35yivWjrymxAVXMHRSEEOGWHsEhwyBwYMhMBAM\n6ems2b0b3N0599xzAU9SUuznO+7fD6mpTSdEdXOzJkRdtAj69WvFE9Dr4b334NlnreNoAb76CubO\nbcVORFvodDoyMzPJzMxUszsD9OrVi759+xITE9MhIwo682TYZDKRm5urfobb5jdGR0fLMNV2JAFj\n+5KA0TkkYBRCtMqePXu444471JpRcXFxvPbaa1x00UVdekiT0Wjk6NGjZGRk2M1NDAwMJD4+ntjY\n2E4bliZOTk0NvPMO/OtfUFrqeJso90IeMz/NtSwhsJcWMjKsCWYaMBgMrFmzBoBzzz23ybm4BoO1\nQ3DRImvFDEe0WrjhBnjiCejTpxVPqLYW/vMfWLsWfvrJGoE6sncvjBjRih2LE7FYLOpwdFtgBdaM\nkn379iU+Pr5dsx8742S4traWo0ePUn2s+12GqbavH374gauuugqAvXv3qllvRdtIwOgcEjAKIVqk\nvLycRYsW8c4772CxWPD09OTBBx/kscce69LlIiorK8nIyCArK0sth+Hm5kZMTAzx8fFy0tTFfPSR\nNaFovXN7O2FBBh4xPM1tulfwpd5ExiefhKeearR9SwNGG0WBFSusgePffzvextMT7rgDnnsO2m0E\n4PLl1vGvDz4Izz8vpTg6QG1tLUeOHOHo0aN2WZGjoqLo168f4eHhJ/1Z4ayTYdv8xuzsbIxGI2C9\nWNanTx+p3yhcigSMziEBoxCiWRaLhaVLl/LQQw+pV9hnzpzJm2++2WWHnyqKQn5+Punp6RQXF6vL\nfXx86NevH3FxcTI3sYtRFGug+OKLjtf36gULz9rNXd+dib+xzH5lYKA1wnvggUaPa23AaGOxWEeP\nLl4Mhw453mbqVGtwedLT4g4csNZrtPWMn346LFvWdIZWcVLMZjN5eXmkp6dTVnb8teTv70+/fv3o\n06dPm0cjOPtkWIapClfn7PdITyUBoxCiSY6Gn77++utceOGFXbLXzWw2k5mZSVpaGrW1terysLAw\n+vfvT1RUVJd8Xj2d0Qg33wxLljReFxgI992rcJ/5ZYKefajxBtdcA6++CqGhDvfd1oDRxmSCzz+3\nZkxNT2+8ftQoWLPmJEosWixwyimwZ4/98shI+PJLa/AoOkxZWRkZGRnk5ORgsVgAa2H1vn37kpCQ\n0OreOVc5GZZhqsJVucp7pKeRgFEI0Yij4acLFy7ksccew9fX19nNazWj0UhGRgZpaWkYDAbgeObD\nfv36ERgY6OQWiraqrYXLLoMffrBf7uMD994LD95jJOTRW6xjVRt65hl47DFrOtMmnGzAaGM0WgPa\np56CrCz7df37W6cnDhjQpl3D5s1w6aWQk2O/3N0dXnjB2nMqJ/kdSq/Xk5mZyZEjR9SMym5ubvTp\n04cBAwa0uLyQK50MyzBV4Ypc6T3Sk0jAKIRQNTX89K233iIxMdHJrWu9uro60tPTycjIUNPH275k\n+vXrJ0lsurjSUjj/fGu8VF94OPz4I4wdUG7NKLp+vf0Gnp7w8cdwxRUnPEZ7BYw2JSUwaxZs2WK/\nPCLC2tN4yilt3HFRkfX5NHyuABdfDB9+2A5jX8WJWCwWcnNzSU1NpbKyUl0eExNDYmLiCctyuOLJ\nsMlkIi8vT61BK8NUhTO54nukJ5CAUQgBwMGDB7npppu6xfDT2tpaUlNTOXr0qDpMzNfXlwEDBhAX\nFycnOd1AVhbMnGmdvldffDz8/DMkemZaI7P9++036NULVq6E005r0XHaO2AE61TDSy+1Boj1+ftb\n5zROn97GHZvN1kmTzz7beN2AAfDNN5JFtZMoikJhYSEpKSmU1kvVGxkZSWJiIqFNDIF25ZNhR8NU\n4+LipMyQ6FSu/B7pziRgFKKHM5vNvPbaazzxxBPo9fouPfy0srKS1NRUcnJy1PqJAQEBJCYmEhMT\ng1tT5QhEl3LgAJx9NmRn2y8fMcJadSI6ZzvMnn28dqFN//7WrsdBg1p8rI4IGME6RPXGG2HpUvvl\nnp7WZZdddhI7/+EHuPpqKGuQ3MfHBz75ROo4drKSkhJSUlLsynKEhIQwcOBAIiIi7C7IufrJsKNh\nqqGhofTp06dD6lIK0ZCrv0e6K3l3C9GDHTp0iOuvv57Nx8b0TZ48mQ8//JBBrTihdgWlpaWkpqaS\nXy9A6NWrF4mJiZLIppvZvNk6DLVhfcUzzrB2HAYFAa8saxwsTpwIq1ZZx6u6AA8P66jYyEh4+eXj\nyw0Ga3WMoiJr6Y02mTULduywBob1i0LqdNadf/edNaAWnSI0NJRJkyZRUVGhXtAqLS3lr7/+IjAw\nUL2g1RU+pzQaDaGhoQQFBZGdnU1xcTElJSVUVlbSt29f6W0UopuSHkYheiCz2czrr7/OE088QV1d\nHd7e3jz77LPcc889XWa4pqIoFBUVkZqaalcaIzw8nMTERMLCwrrECZhouR9+sA7l1Onsl198MXz2\nWb2ahmYzXHQRrF5tvT93rrVnrQ2JOjqqh7G+l1+GhQsbL3/iCWuSnDa/jOvq4O674b337Jd7eVm7\nYqdObeOOxcmorq7m8OHDZGVlqUPm/fz8GDBgAGazGYPB0GV6TyoqKsjMzFSTiUlvo+ho0sPoHBIw\nCtHDpKSkcP3117Np0yYAJk2axEcffdRlehUVRaGgoICDBw9SUVGhLo+OjiYxMZFevXo5sXWio6xb\nB+ecY40F61uwAP79b2tCUDs1NdZux+nTrYXs2zgcuTMCRrAOQ73hBmsZjvoef9yazPWkfPCBte5I\n/a/7665znDlWdBqdTkdaWhpHjhzBfOyFHRYWRkBAAH5+fiQkJDi5hS1jMpnU3kYADw8P4uPjT5jg\nR4i2kIDROSRgFKKHMJvNvPHGGzz++ONqr+IzzzzDvffe22V6FUtLS0lOTqakpASwDo+ypa0PCAhw\ncutERykqss5PbDjK9MknrfUNm+yB0+na1KtYX2cFjGBNgjN3rrVUiI1GYw2WzzzzJHf+3nvW6Bqs\nken//Z+DKFs4g8FgID09nfT0dAICAvD19cXf35/4+Hg8PT27zEgJ6W0UnUECRueQd7EQPUBKSgo3\n3HCDmgF14sSJfPzxx12mV7GyspIDBw6ocxQ1Gg19+/YlMTGxyyXmEa2jKNbkMPWDRY0G3nqrBXP8\nulituHPPtVbFmDXr+BxNRYFrroE9e6CJxJotc/PNUF5u/UO+/LLUZXQhnp6eJCUlMWDAAPbv34/Z\nbEZRFHQ6HXq9Hh8fH7RarcsHjkFBQQwZMqTR3EbpbRSi65OAUYhuzGw28+abb/LYY49RV1eHl5cX\nzzzzDPfdd1+X6FWsra3l4MGDZNWrdN67d28GDx7c4kLYomt7993jUxFtHn+8XrC4e7e1HkWbq967\nlokT4euvrSNpbeN/cnLgllvgq69OMs5buNC6UxcPPHoqrVZLQEAAdXV16uezxWKhpqYGd3d3NXB0\nZVqtlvj4eHr16sWRI0cwGo2kpqYSFhZGbGysy7dfCOGYvHOF6KZSU1O5/vrr1V7FCRMm8PHHH5OU\nlOTklp2YXq8nNTWVjIwMNSlEWFgYQ4YMkTmKPciBA3D//fbLJkyARYuO3SkpgQsvtPacLVkCF1zQ\nyS3sGNOmwUMPwb/+dXzZN99YpxzecMNJ7ry5YFGCSZeg0Whwd3cnMDCQuro6DAYDZrOZ6upqtFot\nPj4+Ln/BLygoiKFDh6q9jcXFxVRUVEhvYyuUlpby66+/AjB9+nT57hNOJQGjEN2MxWJRexV1Oh1e\nXl489dRTPPDAAy5/kmEymUhLS+Pw4cOYjmX/sA1zioiIcHLrRGfS6+HKK+0zovr7W7OhengAFgvM\nnw+ZmdaVF14IjzwCzz3XLYKep56yzl3cseP4srvvhtNOg8TEDjjgd9/BG2/A999b/9DC6dzc3PD1\n9cXLy4u6ujqMRiMmk4mqqio8PDzw9vZ26c90V+xt1Ol0/PDDD616zKRJk4iJiemgFjUtJSWFSy+9\nFIBt27YxduzYTm+DEDYSMArRjWRmZnL11Vfzxx9/ADB+/Hg+/vhjBg8e7OSWNc9isZCZmcmhQ4fQ\n6/WANc384MGD6d27t8vP3RHt7/HHraNN63v7bVATRz7zjLU0RH21td0iWATw9LQGx6eccjwJTk2N\nNYjetOlY0Nxeliyxdl1aLNZyJD/+2M4HECfD3d0dPz8/TCYTdXV1mEwmjEYjRqMRLy8vvLy8cGtj\nFuDOYOttzMrKoqSkhOLiYnVuY2BgYKe2paSkRA3CWuqrr75i7ty5HdQiIboGCRiF6CZWrFjB9ddf\nT3l5udqreP/997v0nBFFUcjJyeHgwYPU1NQA4OXlxaBBg+jbt69LnwSJjrNuHbzyiv2yefOsyV8A\nWLsW/vEP+w0mTYKXXuqM5nWaQYOsnX4333x82fbtsHixtSO1XXz9tbXEhs26ddbuzaefbqcDiPai\n1Wrx9/fHaDRSV1eH2WxGr9ej1+vx9vbGy8vLZS+uabVa+vXrR0hICEeOHMFgMJCSkkJ0dLTTLgoO\nHDiQ4cOHn3C72NjYTmiNEK7Ndc8khctTFIXCwkLy8vIoKSnB39+fxMREQkJCWr2fgwcPcvToURRF\nISwsrEVDL3bu3ElhYeEJt+vVqxcTJkxodhuDwcCuXbvQ6/WMHDmyS82x0Ov1PPTQQ7z55psADBky\nhOXLlzNs2DAnt6x5xcXF/P3332otRa1WS2JiIv3793fpIFd0rOLieoHhMX36wH/+c6zzMDPT2s1W\nvyJUeDh8+aW1W66bufFGa4ffd98dX/bCCzBzprXM5Ek7+2wYM8Z+7Otzz8F551mDcOFyPDw80Gq1\nauBosVioq6tTA0dXLsVh623MzMykrKyMvLw8qqur6devX4eWrHFk9uzZvPzyy51yLJPJpF4UBesI\nmqa+52pqajCZTFRXV6vLqqur7eoOg/U708/Pr9njWiwWamtrURSlSyRNEq5LXjmi1T744AN+/vln\nfv31V7VQb32jR4/m3nvv5eqrr27yS2vz5s18//33bNmyhe3bt9t9EE6fPp1169adsB2LFi1q0VyE\nKVOm8Oeffza5funSpdx3331qbT9PT0/uvfdenn32WZf/cD18+DDz5s1j586dANx000288cYbLl1q\noq6ujv3795OdnQ1Y5+n079+fxMTETj9hEK5FUeCmmyAv7/gyjQY+/RR69cI6sXHu3OM1JwDc3GDZ\nMuimvQAajbWE4pYtkJtrXaYo1umbe/ce+7ucjMBAawHIUaOOH8BigauvPp6BtgfQ6/UYjUbAejLf\nloDLYDB02meYRqPB09MTDw8PDAYDdXV1aikOg8Hg0sGBVqulf//+FBUVkZWVRVVVFcnJyfTr169L\nXaxtjaNHj1Ja73Nr0KBBTdYOzsnJobKy0i47+NGjRxtlBg8ICGi2NFZxcTHZ2dlqPgCNRkNkZCQx\nMTEue0FBuC7X/DQRLu2ee+6hpqYGNzc3evfuTUxMDF5eXmRnZ3PkyBF27drFtddey+rVq1m2bJnD\nSfnvvPMOn332GWD9EBs4cKA6TKW1evXqxfjx45tc31xP24oVK7jmWHfG8OHD8fPzY9euXbz44ovo\ndDq1184VLVu2jAULFlBVVYW/vz/vvvsuV155pbOb1SSLxUJGRgYHDx5Uv8BiYmIYOnQoPl2sXp7o\nGO+9BytX2i979FE4/fRjd55+2joms75nn22HqvauLTQUPvkEzjrreMdqdra11Mby5e0wbTM8HD78\nEM455/iytDRritr/+7+T3LnrMZlM7N69my1btrB161a2bt3KoUOHUI79cTMyMoiPj2/y8YqisGvX\nLjZs2MCGDRs4ePCg2lPm6enJ4MGDOffcc7nzzjs7PFmKRqPBy8sLT09PtZfRllHV09MTb29vlxza\nr9FoiIiIwN/fn7S0NDUzdlRUFL1793bJNrdGbm4umzZtAmDy5MlqsJiVlUVWVhb5+flMmDCB8PDw\nJvdR/9zJz8+v0XzP+heGKyoqOHr0KLm5uVgsFvz8/PDy8lLLsbi5uVFbW0t+fj6KotCnT59G7Tzv\nvPPUfR49epSDBw+i0WgYOnQovXv3bvFzN5lM7Nu3j7y8PNzc3IiLi2PIkCEtfrxwUYoQrfTggw8q\nP/30k1JZWdlo3a5du5TTTz9dARRAee211xzu45133lGeeeYZ5eeff1bKy8sVRVGUyMhIBVCmT5/e\nonbMmjVLAZQzzjijrU9FGTFihOLp6an89NNP6rIjR44oCQkJiru7u5Kbm9vmfXeUmpoa5eabb1b/\nxqNHj1ZSUlKc3axmFRUVKevXr1dWrFihrFixQlm/fr1SWFjo7GYJF3LggKL4+CiKNSSy3saNUxSD\n4dgGOTmNN5gzR1HM5g5tl16vV1+3er2+Q491IgsX2j99UJSPPmrHA9x5Z+MDrFrVjgdwDb/99pv6\n+Wm7aTQa9feMjIxmH5+VldXo8YDi6elpdz8wMFD59ttvW9W2tLQ0JTk5WUlLS2vTczOZTEpVVZVS\nVlamlJWVKeXl5UpdXZ1isVjatL/OYDKZlLS0NGXbtm3Ktm3blOTkZKWurq5DjlX/f/fAAw90yDEU\nRVG+++479Tg//PCDsnz5cmX06NF2rw93d3dl3rx5Sn5+vt1jDx06pGzbtk1ZtmyZuu22bdsaHcNg\nMChPPfWUMmHCBMXNza3R69Hf31+57777FJ1OpyiKotTV1Sl79+5Vtm3bphiOfbDWb2dGRoaSnZ2t\nnHPOOY32NXv27BN+ZxcXFyv33HOPEhQU1OjxsbGxyr///e92+due7HtEtE3XvoQjnOKll15i5syZ\nDodTjBo1ilWrVqnDSpYsWeJwH7fffjuPP/44Z511ltOGoFgsFvbt28eMGTOYOXOmurxv377cfffd\nmM1m9uzZ45S2NSU5OZkJEybw3nvvAXDXXXexefNmEjskz/7J0+l07Nixg40bN1JVVYW7uztDhw5l\n6tSpzV5ZFT2Loljn6tUvoeHnB59/Xi9Z5z//ab9BVJQ1u+dJ9ERYLBYMBgM6nY6qqioqKyuprKyk\noqKC8vJyysvLKSgoULe3La+oqFC3raqqoqamRu3ZUerPrWxnzzxjzZpa3113QQumcrfMv/5lzbRT\n3003teMBXIOHhwdjxozhtttu46OPPmL//v08+uijrd6Pt7c3N954Iz/99BMVFRXo9XpKS0v5z3/+\nQ1BQEJWVlcybN4+//vqrA56FY+7u7vj7++Pn54ebm5s6TLW6ulod2eFq3N3d6devH/Hx8bi5uVFT\nU0NycjJlZWXOblq7yMjIYMGCBfz999+MGjWKU089lT59+mA2m1m+fDmnnnoq+fn5rd5vTU0NixYt\nYsuWLURERDBmzBhmzZrFhAkTCAgIoLq6mtdee40ZM2aoGXVt37u6+p+lx+Tm5jJhwgTWr1/P5MmT\nmT17Nv379wdg9erVnH322eqw7YYOHjzImDFjeOONN6ioqCAhIYFZs2ZxzjnnEB4eTnZ2NrfffjvX\nXnttq5+ncA0yJFW0u6CgIMaOHcv69evVeWquyM3NjYCAAA4dOkRdXR3e3t7qul27dgG4TKFcRVFY\nsmQJd9xxB7W1tQQHB/PBBx9w8cUXO7tpDlksFtLT0zl48CBmsxmQ4aeiaevXW0tF1PfWWzBgwLE7\nhw7BBx/Yb7B4MZbAQOpqa6mrq1OH49lq1TW8mc3mRsssFkur2rmpYSMd0Gg0aLVa9ebu7m53v+HN\ny8sLb29v9dbcvLP6pTZs53vV1fDaa/D88616Ko75+lonjE6aBLbgorAQFiywZt3pJvOepkyZwvYG\nQ5tbM6fL3d2dm266iWeeeYbIyEi7db169eLWW29l1KhRTJkyBaPRyGOPPaYWYO8stsQ4er1ezajq\nysNUNRoNYWFh+Pn5kZ6ejk6nIy0tjYiICGJjYzukvSkpKXz99dfNbuPl5cXs2bNP6jgvvvgigwYN\n4r///a/6fThw4EA+/fRT7rrrLg4fPsyNN97Y6vqQnp6ePPXUU1xyySWNhnxu2rSJzz//nP/85z9s\n3LiRl19+mUcffZTaYzV6HE0Vuummm0hMTGTLli3qUGpFUVi8eDFPP/00u3fv5sMPP+SWW26xe1xV\nVRVz5swhMzOT+Ph4lixZwunqPAIwGo288MILLFq0iE8++YRJkyZx6623tuq5CueTgFF0CFsCmebm\ngbiCSy65hI8++ojTTz+d2267DT8/P1atWsVnn33GgAEDXKJQbnV1NbfffjtLly4FYMKECSxbtsxl\n/7bFxcXs3buXqqoqwDoxf8SIEYSFhTm5ZcJVNSwRMXOmwqWX1lJSYg0CA++5B/9jJ1oAtTEx/C8m\nBv3q1e3WBo1Go95s9wG7XhlbMGfrRVQURb3ZKIqi1shrC3d3d7sA0nazBZYxMd7885++PPTQ8RO+\nd96Bhx+G4OA2HdLe2LGwaJH1ZrNyJXz0kbVWoyA6Olod5dGUiRMncu655/LDDz/wv//9j9ra2nZN\nRtay+FYDeB+7dRU+wFAAtm3bTmFhIdXV1fTv39/uom57WL16NatP8BkSGhrqMLnfidS/GFVVVcWO\nHTuwWCwcPXoUsH6+3H777eTk5PDcc8/x448/sm3bNsaNG9fiY/j6+vLkk086XBcdHc11111HdXU1\nS5Ys4e2332bevHmUlpbi7e3t8LVYU1PD6tWr7ZLraDQa/vnPf/LNN9+QnJzM8uXLGwWMr7/+Oqmp\nqfj6+rJ+/Xq1V9LGw8ODJ598kqysLN577z2effZZFixY4HIXLUTzJGAU7W7lypXsPlZx+8Ybb+yU\nY+bn55OWlobJZCIsLIykpCSHV9Aaevnll9mxYwfbtm1j27Zt6vLw8HC+/PLLFu2jI+3evZt58+aR\nkpICwMKFC3n22WfxcMGi2jqdjv3795OTkwNYT3yTkpLo37+/fDGIRiwWCzU1Nfz+u4Hffgu1W3fm\nmX+wfr11OFpwSgpnrF1rt37/lVeir3dC5uHhoQZVnp6ejXrxTtTLp9Vqm3yNGgwG1qxZA8BZZ53l\nMAumxWJx2IPZXO+mrfi6rQdIr9cDYDabqampsUvB31Dfvu4EBZ1FRYUXAFVV8NxzlTz2mAV/f/+T\nz4756KPwww/W1Kw299wDU6dCg5NB0TTbVAGz2UxBQQH9+vVzcou6ln79+pGZmUltbS3Jycn07duX\n0NDQEz+whVpSh7FhopmWqh9k3nTTTYSFhTksA/bAAw/w8ssvYzAYWL58eZMBY01NDTqdDm9v7xb1\nhsfGxlJbW8uMGTNYsmQJubm5/P333/Tt25f+/fs73Medd97ZKBMrWIPG888/n+TkZPXcrr4Pjo3+\nuOaaaxoFi/XdcccdvPfee2RnZ7Nv3z5Gjhx5wuchXIcEjKLNampq+OOPPwBrSvKcnBx++uknvv/+\ne8A6T3HBggUd3o4///yT6Ohou2X+/v7MnTuXxx9/nAHquLbGQkJC2LJlCx9++CG///47BoOBU045\nhVtuuYWIiIiObnqTFEXhv//9L/fddx96vZ7Q0FA++eQTzjvvPKe1qSmOhp/GxsYyZMgQGX7awymK\nQl1dHdXV1eqtpqaG6upqtTbYM8/Y10gdPryIQYOswaKnpyduSUlkX3MNvZcvx02vp274cGLuuYcE\nHx81SHT2hR03Nzfc3NxO6kKOxWJRi7DbhtjaAsmG9728zMyencannx4fhvbf/3pxyim/4ONjxtvb\nW53H5u/vr/5um9d2QlotLF1qLbVxbAgb1dXWApm//w5O/nt3FfWnZHTXchEdKTQ0VB2iWltbS0ZG\nBlVVVfTp06dd3vMdVYfRNh/aZsaMGU1uGxISwujRo9myZYvdRWtAHT4KkJmZqb5/Q0JCiI6OxsvL\nS12v1+s5dOgQeXl51NTUYLFYsFgsdnOw9Xo9Q4YMafJz6rTTTmuynbYRTWVlZZjNZvXvn5WVRWZm\nJmC9SLxixQrAfhSG7WddXZ26v0OHDknA2MVIwCjaLCsri3PPPbfR8sGDB/PBBx8wqZOKPnt4eJCQ\nkEBMTAxVVVX8/fffVFdX8/HHH/P111/z+eefNzsHwdvbm9tvv53bb7+9U9p7IrW1tdx4440sW7YM\ngNNPP53PP/+8w9Ozt0V5eTm7du1Svxxl+GnPZTabGyWMqa6uVi8iOHLkSBDbt0fZLVu82IOzzjrL\nfp7V7NnWSXr//Cfel11Gbxd8L5wsNzc3fHx8TniRRVEU9Ho9I0fqWLXKQmWl9W9UVeXFunX9mD37\nsBpcNhxKp9Fo8PX1JTg4mODgYIKCgggODnZ8ApmYCK++CvXnGg0bBkajBIwtUF5ezk8//QRAUlIS\nISEhTm5R1+Tt7U1SUhLZ2dkUFhZSXFxMTU0NAwYMsAuYXIXZbObIkSN2y2wlLJoSFxfHli1b7II7\nwO7ijq1n0WKxUFxcTGlpKQkJCeTn57N48WJWrVrlMJFNfR4eHs1e1GouEV39z6W6ujr8/PwA+4si\n77zzDu+8806zbbApLy9v0XbCdUjAKNrM399fzS5qMBg4evQoaWlpHDhwgAsvvJA33niDyy+/vMOO\nP3v2bB544AFOO+00uyFYtbW1/Pvf/+aJJ56gurqaefPmsW3bNoYOHdphbWkvWVlZXHDBBezatQuN\nRsMTTzzBokWLXK4As8Vi4dChQ6SmpqIoigw/7WFswaEtY2h5eTmVlZVNZghtqsfrppvshz9NmAAX\nXxzseH5W797w7rsd8Gy6Fo1Gg7e3N/Hx3tx1l7UMpc2aNUN4+eX+GI1N9+jahrvaho6DtcZb/QAy\nKCjIOvR2wQJYtcpa+/LDD2HWLCc8467p0Ucfpbq6GrBms25v7ZWM12g0otPp1Dl3Wq0WX19fl/oc\nt9XyCwgI4MiRI+h0Og4cOED//v3bPGS0o+Tk5KDX6+0CsxONPLCtt817Dg4OJjo62m4edP/+/Rk1\nahSFhYVqrcXVq1dz++23q/kCwsLCSExMJDQ0VA2m9Xq9OurrRFlyW9prW/9zvn6Qetppp7V4ZJYM\nz+56XOssVHQpsbGx6hVUm+TkZG677Tb+97//ceWVV1JdXc1NN93UIcdvOPHaxtfXlwcffJD+/ftz\nySWXoNPpWLRoEd98802HtKO9bNq0iYsvvpiCggICAgL44osvmOWCJ2gNexUjIiIYNWqUDD/tpsxm\nMxUVFY1KSjgKDt3c3OyCjqCgIPz8/ByeMKWkwFdf2S97/PFuk4izU9x7rzVDqm3kWm6uhi+/9GHB\nAp9GvQW2OaNVVVVqD3B5eTlGo9FhEGnriQx98kkCAgMJGjCAxrM3hSPLly/nv//9LwDjxo3j5ptv\ndnKLmmbLpmob7mwymaiqqsLHxwcPD49WZY/taL169cLHx4fDh6296CkpKcTFxREeHu4S7ayurlbn\nKdZ//xUXFzc7NaaoqAg4npXdFnQ1fE7u7u7qUNT09HRefPFFqqqqiI6O5rPPPmPatGmN9n3kyBE1\nYOwI9eeULliwgPnz53fYsYRzScAo2tWQIUNYu3YtY8eOZf/+/TzwwAPMmzfPYc3GjnbxxRczZcoU\nNm7cyJo1a47N/XG9ISwAH330EbfeeisGg4EBAwawatUqBg8e7Oxm2WnYq6jVahk2bBhxcXEu8WUt\n2ofZbKa0tJTi4mJKSkooKytzWH7C3d1dDQptQxz9/f1b3DPxr3/Z95IMHy4dWK0VFmbtBHz99ePL\n/vUvazLThoMSbGWEAgIC6N27N4Bao88WPNouChgMBmpra6mtrSUXoKAAUlMJDAwkNDSUsLAwu14M\ncdyWLVu44Vg22ZCQEJYtW+aSScrq02g0aoBYW1uLxWKhtrbWJXsbvb29GTx4MOnp6VRUVHD06FF0\nOh19+vRxajstFos6FDU0NNQuC+n27duZOHGiw8eZzWa1jNewYcNadKyQkBAOHz7Mvn37AHjiiScc\nBotgnSvYkZKSkvDx8UGn0/H7779LwNiNScAo2p1tTuAdd9xBZWUlf/zxh9OStZxxxhls3LgRnU5H\nVlZWs1f5nMFkMvHQQw/x2muvAdbJ8cuXL3e5+S4NexXDw8MZNWpUu6aJF85hCxBLSkooLi52GCDa\ngsP6wxYDAgLafKHg6FH45BP7ZY89Bur5XkoKJCTIXLkWePBBa1kN2+i19HRYtgxact5mm9Po6+vr\nMIisPx/VYDBQWVlJZWUlGRkZABJANpCcnMysWbOora3Fz8+PH374odmska5Gq9USEBDg8r2N7u7u\nDBgwgJycHPLz8ykqKkKn05GQkOC04LyyspK6ujo0Gg2BgYF2WY7ff/995s+fbzd805aYZtWqVepc\n43POOafFx6s/wqO5C/Lvv/9+a55Gq3l5eTFr1iw1X8SiRYtOOGdTdE0SMIoOUT8wy8/Pd1o76gc0\n9TN0uYKysjIuv/xyfv75ZwDuvfdeXnrpJZear2ixWEhJSSElJUXtVRw6dCh9+/Z1mZMH0Tpms5my\nsjKKi4ubDBC1Wi1hYWFqIBAUFNSu/++XXz5eFx5gwAC49NJjd6qq4NRTITramujm3HNlnGozYmLg\nuuugflnA55+HK6+sF4C3QlNBZG1trXpRobi4GJ1OR+Wx4cn1A0jbayYsLMxhCZLuKi0tjbPOOouS\nkhK8vLxYuXJlk71Krqyp3kYPDw98fHxcprdRo9EQGxuLj48PR44cobq6mgMHDjBgwACnXMisnw00\nIyODvLw8dd3Bgwd5+OGH7YYmZ2dnk5eXx4MPPghYE99cfPHFLT5eZGQk3t7e1NXV8emnnzJ//vxG\nn9GvvfYaP/zww8k8rRaxJd2pra1l9uzZrFq1iri4OIfbms1mDhw40OLeVOE6XOfMVHQrpaWl6u+2\ncfnOkJqaqv4eFRXVzJad6+DBg8yZM4fU1FQ8PDz473//qw5jchUVFRXs3LlTehW7OEVRqKiooKCg\ngKKiomYDRNuJfnsHiPUVFNgHNwCPPFKvM/GVV6CoyHqbNQvOOw++/16CxmY8/DB88AHY/q3JybBy\nJVx0UfvsX6PRqGU54uLiULKzMf3zn9TV1JD64IPHA8hjPZDp6enA8QAyMjKS0NBQp5c/6ShZWVlM\nnz6d3NxcPDw8+Prrr5k+fbqzm3VSGvY2Go1GTCaTy/U2hoaG4u3tzeHDhzEYDBw8eJB+/fq16Lwj\nJSWFr7/++oTbJSYmnrAEhIeHh10Cnvrfk3fddRcvv/wyu3fvZurUqfj7+5OZmclXX31FZWUlWq2W\nDz74oFUXWCwWC7NmzeKbb77h559/Zty4cVxxxRVER0eTn5/Pt99+y8aNG3n77be58847W7zfthg2\nbBjvv/8+119/PXv27CEpKYlLL72UiRMn0qtXL0pLS8nPzyclJYVffvmF8PBwDh482KFtEu1PAkbR\nIb799lv197FjxzqlDcXFxWpNoMGDB7tMqYc1a9Zw+eWXU1lZSUREBN9++y1TpkxxdrNUDXsV3d3d\nGTZsmPQqdiFms5ni4mLy8/PJz89v1LvemQFiQ6+/DvWbExsLV1997E5RkTVgrG/MGAkWTyAhAS6/\nHD7//Piy556DCy9s5z9dTQ08+SSaf/8bD70eDzc3Tlm8GGX0aGpra9V5r44CSHd3dyIiIoiKiiIy\nMrLbDF/Nz89n+vTpZGZm4u7uzueff87555/v7Ga1i67S2+jn58fgwYNJS0ujpqaGtLQ0evfuTXR0\ndLOfa6tXr2b16tUn3P8999zD6/UnCjvg7+/PwIED1fvJycnq73fccQeRkZE8/PDDbN261e5xISEh\nfPDBB83WamzIaDRSXl7OvffeS2FhIX/88Qc7duxgx44d6jZeXl689957nH/++R0eMAJcffXVxMTE\ncNddd5GcnMwnn3zCJw3nHWAdTtzVL6b0VBIwilbJyckhIiKi2XkCb731Fl8dS384a9asDhnPfqJ2\nlJSUcNFFF1FRUQFYP/CdTVEUXnnlFR566CEURWH06NGsWLGiyaEbziC9il2XXq9XA8SioiK7+oca\njYawsDAiIiI6PUCsr6zMOt+uvoULQb2w/sEH1gLxNmFh1kl64oQefdQ+YNy+HX75Bc4+ux0P4u0N\na9aAXm+9b7HAP/6B5osv1B7Ivn37qkNYi4uLKSoqoqCgAJPJRF5enjpULyQkhKioKKKiovD39++S\nF6NKSkqYMWMGqampuLm5sWTJEubOnevsZrU7W2+jTqfDYDC4ZG+jp6cngwYNIjMzk5KSEnJzc9Hp\ndMTHx9v1bPv6+nLJJZe0at+jRo066fY9+OCDnH766XzwwQfk5OQQFhbG+PHjmTdvnl2mUYPBgFar\nxc3NjdDQULWttrwGRqORtLQ0LBYL3t7efPPNN+zdu5effvqJnJwcAgMDSUpK4oorriAyMpLy8nJ1\nH7GxsY3aFRMTo6631VZ0JD4+Xt2uqWkzZ555Jn///Td//PEHGzZs4OjRo9TW1qqjDJKSkpgxYwZB\nQUFt+AsKZ9MoTRXOEsKBBx98kA8++IBzzz2X4cOHExUVRVhYGHq9npSUFL799lv1KldcXBx//vmn\nw4CxpKSEbdu22S278sorKSsrY9SoUTz//PN266ZPn24XHD7yyCP85z//4ZxzzmHkyJFERUURHh5O\nVVUVW7duZenSpeqw2IsuuoivvvrKqcOh6urqWLBgAUuXLgXgsssu46OPPnKZQExRFFJSUjh06JD0\nKnYRiqJQVVWlBollZWV26z08PIiMjCQqKuqEF3k6yzPPwJNPHr8fHg5HjoCvL9aUqUOGQP2hSi+9\n5PSA0WAwsGbNGgDOPfdcl56Xd+GF1qGoNmecARs2tPNBvvoKLrvMftmePTBiRJMPsVgslJSUqK/V\nWlsdkGP8/PzU4DEkJMQpPVdPPPEEzx4rapmRkUF8fHyz21dWVnLmmWeyY8cONBoN77//frtMK0hP\nT1czertiwhyTyaT2NgIu19uoKAoFBQVqQXlfX18SEhI6vUd7xYoVXHRsTLjt9VRYWMjRo0cBGDRo\nkMNkNVlZWRQXFxMUFKQG5FqtFrPZTE1NDSUlJerFwF69etG/f/8e9x3t6u+R7kp6GEWr9OnTB51O\nxxdffMEXX3zhcBuNRsNFF13EW2+9pSZNaGjXrl2ce+65Dtft3r270bqioiK7IaWxsbHo9Xq+/PJL\nvvzyS4f78fX15YEHHuDJJ590arCYm5vLRRddpA5FeeaZZ3jsscdc5kNep9OxY8cOSkpKAGvx39Gj\nR7tMMCuOUxSFkpIS8vLyXPbEuyl1dfblHwDuv/9YsAiwbZt9sKjVwrXXdlbzuoXHHrMPGH//HbZs\ngQkT2vEgl1wCI0dag0SbxYvhu++afIibmxvh4eGEh4czbNgw9UJHQUEBpaWl6jDCtLQ0uwsdkZGR\nHZYErH7QA9gVSa+traW6Xk+3l5eX3QWX2tpaZs2apV4c/de//sVll11m95iGfHx8usUczqZ6G/38\n/FwiYZtGoyEqKgofHx/S09Opra3lwIEDJCQkOKW8V2t5enpisVjs8kA05ObmRlRU1AmH3ArRnqSH\nUbRabW0tv//+O1u2bCE3N5eCggK0Wi3h4eGMHDmSc88994RXZ3fv3s0jjzzS4mN++eWXdhPKbe34\n7bff2Lp1K7m5uRQWFuLp6Ul0dDTjxo1j9uzZBAcHt+EZtp/t27dzwQUXkJubi5+fH59++ikXXnih\nU9tUX0FBATt37sRgMODm5sbQoUPp16+ffAm5mIqKCrKzs8nOzm40H7H+0D5XPiH6/nuYPfv4/aAg\nyMy0/gTgjjvg3/8+vsEFF8CxOcjO1JV6GAHOOgvWrTt+/9574VjVnvazejXMmWO/bOtWGDeu1buy\nDaUuKCigsLDQbii1rVB5nz59CAsLa9cLIPHx8WRmZrZo2+eff97u++rPP//ktNNOa9XxfvvtN6ZO\nnXrC7bpS74nRaKS2tlbNEOrt7Y2Xl5fLfH/U1dVx+PBhtdxFXFwc4eHhnXJsRz2M5eXlFBYWAtaL\n7z4+Pg4fazabqaqqoqamRg3INRoNHh4e+Pn5ERQU5BLBubN0pfdId9JzX3GizXx9fTn33HOb7CFs\niVGjRvHTTz+ddDtmzZrFLBet9v3TTz9xySWXUFtbS3x8PKtWrWL48OHObhZgHSJ24MABDh8+DFh7\npsaNGydzC1yITqcjOzubrKwsqqqq1OVubm52PTBdJXlIw9jviivqBYt6PTQcsSC9i21y6632AeOK\nFfDqq+2c/Ob882H8eGuQaPPkk9CGz3QvLy/69u1L37597ZI15eXlodfr1QslXl5exMTEEBsbS3Bw\n8EkHJbY5ly3R8CKBu7t7ix9b/zHdjYeHBwEBAdTW1mIymairq8NkMuHr6+sSoxu8vb1JSkoiPT2d\nyspKMjMzMRgM9O7d2ylBbXBwcIsuYru7u7d4WyE6iwSMQnSApUuXcsMNN2AymZg8eTIrV650mSyt\ntbW1bN++XZ3zFhsby4gRI1xijltPZzQayc3NJSsrSx0ibBMeHk5sbCzR0dFd7n9lNsOqVfbL7Eo+\nfP+9NSOOTWiotaSGaLWZM8HL63hemiNHrKNH2yFvx3EaDTz7rLU702btWti8GSZNavNu3d3diYyM\nJDIykuHDh1NcXExWVpYaPKanp5Oeno6/vz+xsbHExsa2OnCz2b9/f5vbOWnSpGaHn/Ykbm5u+Pn5\nodfr1YCxqqoKX19fl/ic0mq1JCYmkpWVRWFhIXl5eZhMJuLi4lymJ1SIrkACRiHa2SuvvKIW4509\nezbLli1zmfmAubm57N69G6PRiLu7O8OHD5cvTiczm81qkoaCggK7eVVBQUHExsYSExPT5PClrmDj\nRmvFDJugILAbnbdkif0DrriiXupU0Rr+/tbMqPWrBXz3XTsHjADTp1uz6vz++/Fl779/UgFjfW5u\nbkRERBAREYHJZCI/P5+srCyKioqorq7m4MGDHDx4kJCQEGJjY+ndu3eX6W3vbjQaDd7e3mi1WnVu\naE1NDV5eXnh7ezv9+0Wj0dCnTx88PDzIycmhqKgIo9FI//79O6wntKXZR4XoKmQOoxDtxGKx8PDD\nD/Pyyy8DcMMNN/Duu++6xFwDs9nM/v37ycjIACAgIICxY8c2mhcqOoeiKJSWlpKVlUVubq5dwg0f\nHx+196S7/H/uv99+Ht1VV8Gnnx67U1gIMTFgMh3foI3z4TpCV5vDCPDRR1A/YeeIEfY5atrNmjVw\n3nnH7wcEQF4edOAJsl6vJycnh+zsbLvMwBqNhoiICPr06UN0dLRLDIlsi64+P8tisaDT6dTPNNvw\nXVf5fxQXF3PkyBHAWjtxwIABLvEdLVquq79Huip5lwjRDoxGIzfccAOfHjsLfuyxx3jmmWecfmUV\noLq6mu3bt6s1Kfv27cuwYcPkS9IJjEYjWVlZHDlyxG5eooeHhzo/KyQkxCVeN+1FURon0LQbjvrF\nF/bB4uDBMHZsp7Stu5o9G9zcrGUSAfbuhfR0aPdzq7POgqgoyM+33q+qsv6z589v5wMdZztJ7N+/\nP9XV1eocx5qaGgoKCigoKMDLy4u4uDj69u0rvTudzM3NDV9fXwwGAzqdTk3g4ipDVMPCwtBqtaSl\npVFdXc2hQ4dITEzsEheChHAmOWMU4iTV1NQwd+5cfvrpJzQaDa+//jp33323s5sFQHZ2Nnv27MFk\nMuHu7s6oUaMcFu8VHausrIwjR46Qk5OjZoG0pX/v06cPkZGRLnMFvr3t2WOdR2fj5WWdZ6dqOBz1\n2mvbOUNLzxMWBqefbl+D8bvv4IEH2vlAWq01ODw2qgKw/j87MGCsz9/fn6SkJAYNGkRZWZkaPOr1\nelJTU0lNTSUiIoL4+Phu/R5zNRqNBi8vL9zd3V1yiGpwcDCDBg0iNTUVnU7HwYMHGThwIN7e3k5t\nlxCuTAJGIU5CcXExs2bNYuvWrXh4ePDJJ59w+eWXO7tZmEwm/v77bzVtfFBQEGPHjsXf39/JLes5\nzGYz2dnZZGRkqL27YB1yassK2RNOUBr2Lp59tnWeHQDl5WAwHF/p5tZpwUZ3d+GFnRAwgjXArx8w\nrl8PWVnQp08HHMwxjUZDSEgIISEhDBkyhNzcXI4cOUJZWRmFhYUUFhbi7e1N3759iY+P7xHvO1eg\n1Wrx9/dXh6jq9Xo1i6qzs8baLjakpKRgMBg4ePAgiYmJ0iMtRBMkYBSijTIzM5k5cyaHDh3C39+f\n7777jhkzZji7WVRVVbFt2zZ1yGO/fv0YOnSo07+ge4ra2loyMjLIzMy0m5sYFRVFfHw8ERERTr/C\n3pkaltOwG44aHAz79sHOndaeqZIS63xGcdIuvNBag9Fm0yYoKIDIyHY+0LBhMGYMHCtij4eHdQ5q\nJwaM9Wm1WuLi4oiLi6OiooIjR46o9UsPHTpESkoKvXv3pn///vTq1atHvRedwdEQ1erqanx8fJw+\nDNTHx4ekpCRSU1PV10dCQoKUlxLCAQkYhWiDffv2cc4555Cbm0t4eDhr1qxhzJgxzm4W+fn57Nix\nA5PJhIeHB6NGjaJ3797Obla3pygKRUVFZGRkkG+bz8XxGnPx8fFdOstpW6WnW+fP2bi5WUv42dFo\nrAGHC7x/upO+feGUU6yxOFjnkq5aBTff3AEHu/ZacHe3/rz8cggJ6YCDtF5QUBAjR45k6NChZGdn\nk56eTlVVFTk5OeTk5BAUFES/fv2IjY11uQtq3SkfoW2IqlarpaamBovFQm1tLWaz2elDVL28vNSg\nsaamhsOHDxMfH09oaKjT2iSa153eG12JBIxCtNIff/zB7NmzqaiooF+/fqxdu5bExESntklRFA4f\nPkxycjJgPVEaP368y5Tz6K4sFgtZWVkcPnzYri5bcHAw/fv3p3fv3i53ItqZGg5HPe00CA93Tlt6\noosuOh4wgvX/0SEB4x13wF13dcCO24dWqyU+Pp6+fftSUlJCeno6+fn5VFRUsHv3bpKTk+nXrx/9\n+/d3eq+XbZ5l/fI63YW7uzsBAQHU1taqQ1QtFgu+vr5ODRq1Wi0DBw4kPT2diooKMjIyMJlMRLZ7\nd7xoD7Y8ADInuXNJwChEK6xYsYLLL78cvV7PyJEj+emnn4iKinJqm8xmM7t37yY7OxuA3r17M3r0\naMmC2oFMJhOZmZmkpaWh0+kA65dX/aFu4gTDUUWHu/BCePLJ4/fXr4fKSmj3ai1d5MRNo9EQFhZG\nWFgYOp1OHTpuMBg4dOiQ2ruUkJDgtBEBHh4e6HQ6TCYTBoPB6QFse9NoNPj6+qLX66mrq8NoNFJV\nVYWfn59TL665u7uTkJBAZmYmJSUlZGVlYTQaiYmJkWHLLsRgMKgBoytk3e1JpA6jEC303nvvceut\nt2KxWJg6dSorVqxw+lwHnU7H1q1bKS8vByApKYmBAwfKF1wHMRgMZGRkkJ6ejuFYshatVkv//v3p\n16+fJNOop6AAoqOtQyFtjhyxDpXsSrpiHUYbRYGBA+Hw4ePLli2DefOc1yZXY0tOZRuSCMcLvScm\nJnZ6orCKigpyc3MBCA8PJywsrFOP35mMRqPd39zPz8/pFzoVRSEnJ0edWhAaGkrfvn2lN8tFFBcX\nU1RUBFgvjjv7HKwnkS4IIVrg1Vdf5YFjKQbnzp3L0qVLnR4clJWVsWXLFvR6Pe7u7owZM4bo6Gin\ntqm7qqurIy0tjYyMDPXqppeXFwkJCcTHx8uVTgdWrbIPFkePrhcs7t4NEREg82s7lEZj7dV96aXj\ny777TgLG+tzd3enbty9xcXHk5uaSmppKRUUFR48e5ejRo/Tu3ZvExESCg4M7pT31s3QWFRWh1WoJ\nDAzslgGLh4cHAQEB6rxGWzIcLy8vp7VJo9EQGxuLh4cHWVlZlJSUYDab6d+/f7f8H3QVFouFyspK\nNVgEJKNtJ5MeRiFO4MUXX+Thhx8G4JZbbuGdd95x+ry0rKwsdu/erc7/mDBhAoHtPs5M2JIgHD16\nVJ1T5Ovry4ABA4iLi3P668CVnXceHOuYA+Cpp+oNj5w2Df73P2vh92uvtY6ddNGkQF25hxFg82aY\nPPn4/YAAKCqy1sPsUBYL/P03jBjRwQdqX4qiUFhYSGpqKiUlJeryiIgIEhMTCQ0N7fARHGVlZXbJ\nszQaDR4eHt125IiiKJjNZvUz1s3NDXd3d6c/X71er/aAenh44O/v7/Q29USKomA0Gu2S3URFRcnU\nj04mAaMQzXjuued4/PHHAbj77rt5/fXXnfqFoSgKycnJHD42xiwsLIyxY8c69Ypsd1RRUUFqaio5\nOTnqssDAQBITE+ndu7dcaT6Bykprcpv6JRb37bNWYECns5bTqL/y8GFISOjsZrZIVw8YLRZrpZJ6\n8Qc//gjnnttBBzx8GD75BJYutdZjzMnpgFoenaO0tJSUlBQKCgrUZb169WLgwIFERkZ26HdBQUEB\npaWlHbZ/V2QwGDCZTIC159fT09PpAVptba3aq+Xj40N4eLjT29TThYSESEIiJ5AhqUI04amnnmLx\n4sUA3H///bz88stO/aIwGo3s2LFDPXmJj49n+PDhEry0o/Lycg4ePGh3ghgSEkJiYmKHnyB2J2vW\n2MeDCQkwdOixO1u22K+Mj3fZYLE7cHODCy6Ad989vuy77zowYLz4YuvVAZvPPoP77++gg3WskJAQ\nJk6cSEVFBYcPHyY7O1udChAQEEBSUhLR0dEd8rkQGRlJSEgI5eXlagmK7s7Ly4va2lrKy8tRFAWt\nVktISIhTh/zb2rR582YsFgtRUVFMmTJFRpd0Mnd3d3x9fQkODpYpIE4iAaMQDSiKwuLFi3n66acB\neOihh3jhhRecGixUV1ezZcsWqqur0Wg0DB8+nH79+jmtPd1NTU0NBw4csOtR7MwhaN2No+yo6p9w\nwwb7lWec0Qkt6tkuusg+YFy5Ev773w5KbnrNNbBw4fH7K1Z02YDRJigoiDFjxpCUlKQOUa+qqmLb\ntm0EBwczZMgQwjugXoyHh0eH7NfVlZaWsnXrVvR6PaWlpYwZM8ap2cj79+9PeXk5c+fOxWAwMGPG\nDFauXCllq0SPIkNShahHURQef/xxnn/+eQAee+wxnnnmGacGDIWFhWzfvh2j0Yinpyfjxo3r1pnz\nOlNdXR2HDh0iMzNTnR8RGRlJUlJSpyW56I5iYuBYokcA/vwTpkw5dmfaNPug8cMP4frrO7N5rdLV\nh6SCtUM3PNw6VNjmwAFISuqAg2VmWnuNbTw9obzcZeeotkVdXR2pqakcOXJEnXcXHh7OkCFD5HOj\nneh0OrZs2UJFRQUAgwcPJjEx0anfxT/++CMXX3wxer2eadOmsXr1akm8InoMCRiFOEZRFB555BFe\nfPFFABYvXszixYud+gWVkZHBvn37UBSFwMBAxo8fL19Q7cBoNHL48GHS0tLUoV4hISEMGTKE0NBQ\nJ7euaysstJ+y5ukJVVXWn+j11vmLdXXHN0hLg/79O7uZLdYdAkaAs8+GX345fv/zz+GKKzroYP36\nWWuo2Pz2G0yd2kEHc57a2loOHjxIVlaWuiwmJoakpKROL8fRHZnNZnbt2qWO/IiNjWXUqFFOHQ66\ndu1aLrzwQurq6jj99NP58ccf5TtZ9Agy+UkIjvcs2oLF+fPnc9999zktWFQUhQMHDrB3714URSE6\nOprTTjtNvphOktlsJi0tjXXr1pGSkoLZbCYgIIDx48dz6qmnSrDYDnbvtr8/dOixYBFg61b7YDE2\n1hpciA43apT9/Yb/p3bVcJhxw2HI3YSvry+nnHIK06ZNU5Nw5OTk8Ouvv7Jnzx7q6r/WRavZykUN\nHjwYgOzsbP766y+MRqPT2nTmmWfy7LPP4unpyf/+9z/OP/98amtrndYeITqLBIxCAP/4xz/UYajX\nXXcdc+fOZePGjepwmM5ksVjYvXs3KSkpACQkJDBu3DinFzTuyhRF4ejRo6xfv56///4bg8GAj48P\no0ePZtq0aR2WuKIn2rXL/v7o0fXuNAwcpk6tN7lRdCS7/wON/0/tqmFv4u+/d+DBnC8wMJCJEydy\n6qmnEhISgqIoHDlyhHXr1nHgwAGnBjhdnUajYeDAgYwbNw43NzeKi4vZuHGjU4Jxo9HIpk2bSEhI\nYNGiRXh7e7NhwwbmzJmDTqfr9PYI0ZkkYBQ93lNPPcVTTz0FwKJFi/jvf/9LQEAARqOx04NGs9nM\ntm3bOHr0KABDhgxh2LBhEsy0kaIo5OXl8dtvv7Fr1y50Oh0eHh4MGzaM6dOnExcXJ3/bdtaw58ou\nUGkYOEjCm07jKGDssAkpDf+vmzfb9yx3U6GhoZx66qmMHz+egIAAzGYzKSkprFu3jsOHD/eITKcd\npXfv3kyaNAmtVktFRQV//vmnWiOxM9iCxfLyctzd3bn11ltZuXIlXl5erF+/Xh2mKkR3JXMYRY9W\nv85i/QQ3er2ejRs3UlVVhYeHB1OmTCEoKKhD22IwGNiyZQulpaVoNBpGjRpFXFxchx6zOysvL2ff\nvn1qLTN3d3cSEhIYMGCApOXuQElJcOjQ8ftqwhuDwTp/sf6V+JQUSEzs7Ca2SneZw2g2Q2Ag1B89\nl51tTVDU7hTFmvjm2IUvwHqx4PTTO+BgrklRFLKysjh48KDa++Tj48PQoUPp3bu3XKhqo4qKCjZv\n3oxer8fLy4uJEyd2eKKhhsHipEmT1OkLP/74IxdddBEGg4Fzzz2X7777Tuoii25JehhFj/XSSy+p\nweJDDz1klw3Vy8uLKVOmdFpPo06n488//6S0tBR3d3cmTJggwWIbGQwG9uzZw++//64G3/Hx8cyY\nMYPBgwdLsNiBqqutMaCNRgMjRhy7s327fbAYHQ0DBnRq+3oyd/d6/4tjOmxYqkbTY+YxNkWj0RAX\nF8f06dMZNmwYnp6e6HQ6tm/fzqZNm6iqqnJ2E7ukoKAgdT6/7cJuUVFRhx2vuWAR4LzzzuPrr7/G\nw8ODNWvWqKU3hOhuJGAUPdJrr73GQw89BMB9993nsM5iZwWNVVVV/PHHH2pv5uTJk9UECqLlFEUh\nMzOT9evXc+RYhsaIiAjOPPNMRo4cibe3t3Mb2APs22c/zHHAAAgIOHbHUf1F6WXpVDKPsfPZRjbM\nmDGDhIQENBoNxcXF/Pbbb+zfv1/mN7aBn58fp512GkFBQZhMJv766y+7Grrt5UTBos3s2bP58ssv\n0Wq1fP/991x22WUSNIpuRwJG0eN88MEH3H+skPRdd93FK6+80uTwoI4OGktLS/njjz/Q6XT4+Phw\n2mmnERIS0m777ynKy8v5448/2L17t5rQZvz48UycOFHS23eiZhPeyPxFp+vUgLHh/3fTJmtZlR7K\nNnd66tSphIaGoigKhw8f5tdffyUnJweZHdQ6tu/m8PBwLBYL27dvJz09vd3239Jg0ebCCy/kiy++\nwN3dnZUrV3LDDTeoNTqF6A5kDqPoUVatWsVFF12ExWJhwYIF/Pe//23RXJKOmNNYUFDAtm3b1NIO\nkyZNwqcbFbfuDAaDgQMHDqg9im5ubgwYMIDExETJKusEN98M779//P7zz8MjjwBGI/TqBfWTVHRY\n5fj21V3mMAJs2wbjxx+/368ftOM5tj1Fgbg460RJmz/+gFNPPeldl5aWsnXrVnbu3KmWNLj++utJ\nSEho1X527drFX3/9RXFxMWFhYYwfP54xY8acdPtORFEUcnJy+Pvvv9EfC6LDwsIYPnw4gYGBHX78\n7sRisbBz5061h3HgwIEkJSWd1BzR1gaL9X3xxRdcddVVKIrCfffd1+wFaSG6EjmjEj3Gxo0bmTdv\nHhaLhYsvvph///vfLf4gt13NtAWNGzduPKmg8ejRo+zevRtFUQgJCWHChAld+kS0s9nKZCQnJ6tD\nfyIjIxk2bJj0KDpRwwypau0/jQa+/to6LPX3361BxKBBnds4wfDh1rmMtmSdGRlQXm7NRdTubPMY\nP/vs+LING9ocMFZWVnL77bezZcsWDh8+3Gj91KlTWxwwHjx4kOuuu44tW7Y0Wjdu3Dg+/vhjhgwZ\n0qZ2toRGoyE2NpbIyEgOHTpEeno6xcXFbNiwgYSEBAYOHChzrVvIzc2NMWPG4OXlRXp6OikpKej1\nekaMGIGbW+sH0Z1MsAhwxRVXUFxczN13381rr71GdHQ0CxcubHU7hHA10sMoeoT9+/dz6qmnUl5e\nzumnn87atWvbNKetPXoaU1NTSU5OBiAqKoqxY8fi7u7e6rb0VOXl5ezdu5eysjLAWjx72LBhREVF\nyZVcJzIarfMV6486zM8Hh9NxjUboIifE3amHEaxB499/H7//22+Npxu2m/ffh4ULrdlRzzgDZs1q\n84WC7Oxs+vTpA0CvXr0YN24cGo2GtWvXAvDLL78wY8aME+4nNTWVSZMmUVJSgqenJxdddBEDBgzg\n8OHDfPfddxgMBnr16sXmzZsZ1EkXNSorK9m3bx/FxcUAeHt7M3ToUGJiYuQzrYVsQ3xP5rv1ZIPF\n+h5//HGee+45AD7++GOuvfbaNu1HCFchAaPo9o4ePcrkyZPJyclhxIgR/P777yeVhrutQaOiKOzf\nv5+0tDQA4uLiGDlyZJuugvZEjoafJiYmkpiYKAG3C9i3zz4LZ3Q05OY6rz3tpbsFjFdfDZ9+evz+\na6/Bvfd20MEMBmuXZju8P6uqqli5ciUTJkwg8Vgplo8//pjrr78eaHnAOGHCBLZu3UpgYCC//vqr\n3RDUnTt3cuaZZ1JRUcGYMWPYtm1bpwVsMky1fWRmZrJnzx4URSE0NJQJEya0qLe2PYNFsP4/b7rp\nJj788EN1XuOsWbPavD8hnE3OVEW3VlJSwsyZM8nJySE+Pp41a9acdM2mtiTCURSFPXv2qMHiwIED\nGTVqlASLLZSfn8+vv/6qBouRkZGceeaZJCUlSbDoIhoOR22YYEW4hk5NfOPp2S7BIkBAQADz589X\ng8W2+P7779m6dSsAzzzzTKP5iqeccoraK7Rjxw5WrVrV9ga3km2Y6vTp0xkwYICaTfX3338nJSVF\nEqi0UN++fRk/fjzu7u6UlJSwcePGE2Ysbe9gEaz/z3fffZfZs2djNpu59NJL+euvv05qn0I4k5yt\nim6rpqaGWbNmcfDgQcLCwli7di29e/dul323JmhUFIXdu3eTmZkJwLBhwxg8eLAMNWoBg8HAzp07\n2bJlC3q9Xs1+OmHCBPz8/JzdPFFPw8BDnb8oXEqnBowuZtmyZYB1GLutZ7Kha6+9Vv1ssW3fmTw8\nPBg6dKiaTdVisXDgwAH++OMPKisrO709XVFUVBSTJ09Gq9VSUVHBpk2b1F7bhjoiWLTRarUsW7aM\nKVOmoNPpmDVrFgcOHGiXfQvR2SRgFN2S0WjksssuY8uWLfj5+fHjjz8ycODAdj1GS4JGRVHYtWsX\nR48eBWDEiBGtzuTXU+Xn5/Pbb7+RlZUFWK8cT5s2jejoaAm2XVCzJTWEyxg50v5+cjLU1TmnLZ1t\n3bp1gHVYalPJsfz8/Jg0aRJgHebqLIGBgUyZMoVhw4bh7u5OeXk5v//+O6mpqdLb2AIhISFMnjwZ\nDw+PJoPGjgwWbXx9fVm1ahVDhw6ltLSUmTNnkl0/c7AQXYRkSRXdjm3uwI8//ohWq+Xbb79l3Lhx\nHXKs5rKnWiwWdu3apX45jBw5kvj4+A5pR3diNBrZt2+fGih6e3szevRoIiIinNwy0RRFaWZI6qpV\n4OYGAwda6zh0cLIbi8WCXq9Xb0ajEbPZjMlkOuHNbDajKIpaE09RFLvhbOvWrVOHkdsuWri7u6PV\napu91d/Gy8sLLy8vvL29nTKcOiQE+vaFYwMeMJth/37ohGoSTlVSUkJBQQEAw4cPb3bbYcOGsW7d\nOkpKSigsLHTaZ49GoyEhIYHIyEh2795NSUkJycnJ5ObmMnr0aJnbeAK9evVi8uTJbNq0icrKSjZu\n3MjkyZPx9vbulGDRJiQkhJ9++onJkyeTlZXFOeecwx9//EGvXr065HhCdAQJGEW388gjj/DJJ58A\nsGTJEs4+++wOPZ6joHHSpEmkpaWptaFGjRpF3759O7Qd3UFBQQG7d++m7liXR1xcHMOGDZMU8y4u\nM9NansEmIMAaGwLw+OPH03K6u8PWrXDKKa0+hqIo1NXVodPp0Ov11NXVqbf695saetYejEZju+7P\nw8MDb29vNYCsf7Mt8/HxaffAcvTo4wEjWHuHOzxgrK21Fn1MS4M5c6xlNzqRbf4zoGZbbUr99UeO\nHHH6xSp/f3+mTJlCeno6Bw4cUHsbk5KSSEhIkLnwzQgODmbKlCls2rRJ/X4eP348O3fu7JRg0SY2\nNpa1a9dy6qmnsn//fmbPns0vv/witZdFlyEBo+hWXn31VV588UUAXnvtNa688spOOW7DoPGPP/5Q\neylGjx5NXFxcp7Sjq3LUqzhq1CgiHdZkEK7G0fxFNzfAYoHU1OMrzGZoppfd1qNXXV2t3mpqatSf\nrRmKZ+vN02q1eHh4nLAn0LZeo9GoN4Da2lp27NgBwKRJk9BqtXY9kC3tvbTdDAaD2mtpNBoxGo1U\nVVU1+1x8fX3x9/fHz88Pf39/9ebj49Om4dmjRsGKFcfvd/g8xsGD4eDB4/fz8iAqqoMPaq/+3/hE\ntVoDAgIcPs6Z6vc27tq1i9LSUpKTk8nLy2P06NF2bRb2goKC1J7G6upqNmzYgMVi6bRg0Wbw4MH8\n8MMPnHnmmWzcuJHLL7+cb775Bq1WTsWF65NXqeg2PvvsMx544AEAHn74Ye7tsFzxjnl5eTFp0iR+\n/fVXTCYTYP2CkGCxedKr2PU1ORw1K8u+MGNoKISEoCgK1dXVVFZW2gWH1dXV6nunKS3plfP29m63\nk7D6wUVwcHC7lNWwWCzN9pA27C2tra2ltra20X7c3NzUINL2MzAwkMDAwGZ7JRvOL234/2t3DWve\npqV1esCo0+nU30/0P/Ty8nL4OFfg7+/PqaeeqvY2lpWVsWHDBpKSktTsqqKxoKAgJkyYwJ9//qle\neBozZkynBYs2EydO5Ouvv2bOnDmsWrWKW2+9lffee0/+b8LlScAouoW1a9dy3XXXAdYsd88//3yn\nt8FisbB//367E97Dhw8TGRnZojqNPY3RaOTvv/9WEwJJr2LX1WTCm5QUu+U1sbHs+vNPysvLMZvN\nTe7P09OzUW+an58ffn5+3eJqvJubG76+vvj6+ja7ncVioba2Vu1lrd/rqtPpsFgsVFVVNeoF02g0\nBAYGEhQURHBwMMHBwXZBZMOAcc8ea+dvh02pTEiwj0oPH4YpUzroYI7VH/p3ojIL9Yc1u+KQQelt\nbD3bKJb6pceTk5Pp1asX3g0vaHSw8847jw8++IDrrruODz74gKioKJ555plObYMQrdX1v3lFj7dz\n504uueQSTCYT5513nlOu1tmyodrmLI4YMYKMjIxGiXCEVVlZGdu3b1d7TaRXsWs7Vl5UFR6ez759\nRfj8+CMD6i0vCQmhpKREvR8QEEBAQECj4Zbt0YvXHbi5ual/k4YXUkwmEzU1NY2CycrKSsxmMxUV\nFVRUVKgXZDQaDQEBAceCxyCCguKpqLDOfaupgYICaKeqQ40NGGB/v+ELphPUTxBzomGm9de7cvBl\n621MS0tText///13hg8fTlxcnPRaHdMwwc2IESPYv38/1dXVbNq0iSlTptj1KneGa6+9loKCAh5+\n+GGeffZZYmJiuO222zq1DUK0hgSMoksrKCjgggsuoKamhgkTJvDll192etBhCxZt2VBtcxZ79+7t\nMHtqT6YoCunp6ezfvx9FUfDy8mL06NHSq9hFWSwWysvLyc0NAo53TxUV7cZk0jPs8GG77d2HDGH4\n8OFqj1d36C10Fq1WS1BQUKPPFEVRqKqqory8nIqKCvWn2WymsrJSreUXGBhGRcXxIOrAgRLCwwM7\n5vOzYSkhJwSM9TNU2+ZKN6X++n5q9ibXpNFoGDBggNrbWFZWxu7duykuLmbEiBE9/iJcU9lQg4KC\n1EQ4mzZtYvLkyZ0eNC5cuJD8/Hxee+017rrrLgYNGsSZZ57ZqW0QoqXk21p0WXq9nosvvpjs7Gz6\n9OnDqlWrOr2Yu6Io7N69Wz3BGDVqlDpnsbmSGz2RwWBg586damr78PBwTjnllE4fDiTazhYgFhcX\nU1JSQklJCXq9hfLyOeo2Go1CbKw3oaGRRDfoyYmZOhX69+/kVvcstuGo9XvUbEGkLYAsLy+nVy8D\n9eOmP/44RE1NMcHBwYSGhhIWFkZISEj7BBwNexgbXEjoDCEhIURFRZGfn8/evXub3da2Pjw8nPDw\n8M5o3kkLCAjg1FNP5cCBAxw+fJjs7GzKysoYN25cj/3Oaa50hi0RzsaNG6msrGTz5s1Mnjy5U0c3\naDQaXn75ZQ4fPszq1au59NJL2bZtG/3lM1K4IAkYRZekKAq33XYbmzZtUgvjdnbqc0VR2LNnjzrk\na+TIkY1KZ0jQaFVSUsL27dupq6tDo9GQlJREYmKiDJlycbYAsaSkRA0SG849rKmxn4cXGgozZky1\n3mnYkzNwYAe2VjSlfhBpKxkxeLBC/biputoPRSmirKyMsrIyDh8+jEajaZ8A0gV6GAHOOussli5d\nypYtW6isrHRYx7C6upq//vpL3b4rcXNzY+jQoYSFhbFz505qamr43//+x7Bhw4iPj+9Rn7ctqbNY\nP2isqKhQexo7M2h0c3Pj008/ZdKkSSQnJzNnzhw2b97s0kOhRc8kxXtEl/Tmm2/y0UcfAfDxxx8z\natSoTm9DcnIymceKmY0YMcJuyFN9tqAxICAAo9Gofjn1BIqikJKSwsaNG6mrq8Pb25spU6YwcODA\nHnXy0pUYDAays7PZvn07a9as4Y8//iA5OZnCwkLMZjPu7u6EhYWRlJTEqaeeyrBh0+0eHxl57P+q\n10O92ndA454m4TTq/0m9P4Jp06YxfPhwevfujaenJ4qiqMHjX3/9xZo1a9i4cSNpaWnU1NS0/GAx\nMVD/JLykxL5wZyexlVmqq6vj/fffd7jNhx9+qM6tvuKKKzqtbe0pMjKSqVOnEhoaisViYe/evWzb\ntq3d64i6qpYEizbBwcFMnjwZrVZLRUUFW7ZsOWGm5vYWGBjIqlWr6NWrF/v372f+/PmtKiEkRGeQ\nHkbR5fz888/cf//9ACxatIhLL72009tw+PBhDh8bVjVs2LATznPpiT2NdXV17Ny5k6KiIgCioqIY\nPXq0JDRxQdXV1RQUFJCfn09JSYldJkE3NzdCQkIICwsjLCyM4OBgu5IN27fb70udjpqebq3DaNOn\nD5wgK6joPA2nDRcWHu+F7N+/vzqM1dazXFxcjMFgoLi4mOLiYv7++28CAgKIiooiKiqKXr16NX0R\nyN3dOhS5fi3GtDQYM6bjnqAD55xzjlqPb/HixUyaNIlJkyap67ds2cITTzwBwPjx4zn//PM7tX3t\nycfHh8mTJ5OSksKhQ4fIy8ujoqKCMWPGEBIS4uzmdZjWBIs2vXr1YtKkSWzatInS0lJ27NjBuHHj\ncHPrvD6VhIQEvvrqK2bOnMmqVatYtGiRZE4VLkUCRtGlpKamMm/ePCwWCxdddBGLFy/u9DZkZWWx\nf/9+ABITE0loONyqCT0paCwsLGTnzp3o9Xo0Gg1Dhw6lf//+0qvoIhRFobS0lPz8fPLz86murrZb\n7+PjowYCoaGhzdb0OzYlVaWODG9QUkOGo7qWhiP4Cwvt79cfxmoLICsqKtTXTEVFhVrSIzU1FS8v\nLyIjI4mKiiI8PLxxQqOEhJMOGD/++GP1Qh1gNxfx448/ZsOGDer9sWPHcuGFFzbax9KlS5k0aRKF\nhYWcfvrpzJo1iwH/z96bh8WVlnn/n9oolmJfQgiEJRAIWSCEJSQhZO1l1H7dXpfW0W51Rsd2/73a\nPfo6o2Pb6uuMy7TtjFvr6Nitdo+tdmvb3dkTQoAEsrAESEIg7DvFUnud3x+Vc0IRkpDAqeVwPteV\nK9Shqp6nqKpznu9z3/f3zs7m8uXLvPLKKzidThISEnjuuefuam6BiFarJS8vj/j4eM6cOcPMzAwn\nTpwgPz+fNWvWKO58fC9iUSQuLo6SkhJqamro7+/n3LlzFBYW+vRvtHfvXr73ve/xyU9+kq9//ets\n3LiRd7/73T4bX0XldqiCUSVomJiY4KGHHmJ8fJyNGzfyy1/+0qc7gOBxZW243nRu9erVrFu37q4e\nr3TR6Ha7aW1tpe26WAgPD6e4uJjY2Fg/z0zF7XYzODhIb28vAwMDN/Wii4mJkURiVFTUghdKc4WG\nFLlSBWNAMzfCOFf4z0WsZ4yJiSEvLw+LxSKJx+HhYWw2G11dXXR1daHVaklMTGTlypWkpKR46h6X\nwPjmv//7vzl48OC8v/v1r3/tdfvDH/7wvIIxKyuLkydP8uEPf5ijR4/yxz/+0ev3O3bs4Nlnn13w\nRmAwkJiYyO7duzlz5gxDQ0M0NTUxPDzM5s2bfe4MKheLEYsiK1asoLCwkIaGBrq6ujAajeTn58s0\n4/l57LHHOH/+PD/5yU949NFHyc7OZouPI/EqKvOhCkaVoMDlcvHwww9z8eJFEhIS+NOf/oTJZPLp\nHEZHR6mrq0MQBFasWEFBQcE97T4qVTRarVZOnz4t9dlLSUmhsLBw2du6+xOxBq27u5uenh4vkSgu\n6pOTk1mxYsU9NyifKzRUwRgc3K1gnEtYWBiZmZlkZmbidDoZHBykv79f2owYGBhgYGCA8+fPk5yc\nzNqEBLzOcPdgfPPoo4+ya9euBd138+bNt/zdmjVrOHLkCC0tLVRXVzMyMkJ8fDxlZWWsX7/+rucV\nDBiNRsrLy2lvb+fixYsMDAxw5MgRSkpKgj5FdSnEosjq1aux2+00NTVJkXNfbh5oNBp+8IMf0NLS\nwokTJ3jrW99KXV0dycnJPpuDisp8qIJRJSj44he/yF/+8hf0ej0vvvjiLQ1m5GJycpKamhpcLhex\nsbEUFxcvKrqpNNE4NjZGbW0tVqsVrVbLxo0bSU9PV1zKU7AwNTVFd3c33d3dXuYker2elStXsnLl\nyvnTBu8BNSU1OLlTSurdoNfrSUlJISUlRdqk6Ovro6enB4vFQm9vL067nfJZjxEuXeJuzw7ve9/7\n7n2S87Bu3bq7zhIJZjQaDWvXrpVSVC0WCydOnJjX4TtYWEqxKJKdnY3VauXy5cs0NjZiNBpJTU1d\nohnfmZCQEP7nf/6HkpISurq6ePvb387hw4cVEw1WCU5UwagS8Pz3f/83/+///T8AfvCDH1BZWenT\n8S0WC9XV1djtdkwmE1u3bl2ShbZSRGN3dzcNDQ243W7CwsIoKysLutegBKxWKz09PXR3dzM+y4FS\no9GwYsUKUlNTSU5Ovm094r1wy5TU73wHGhs9wrGtDRQauQlWbja98XgULTbLX6PREBcXR1xcHPn5\n+YyMjNDd3c3EnA+KrbmZK83NpKamztveQkU+4uPj2bVrF6dPn2ZoaIizZ89iNptZv369z8s8FoMc\nYlFk/fr12Gw2uru7qa+vJyQkxKetu5KSkvjjH//I9u3bqa6u5mMf+xjPPvusugmr4jc0wmw7PBWV\nAKO2tpadO3dis9n4+Mc/zjPPPOPT8R0OBydOnMBsNhMaGsrOnTvvOXXvVthsNkk0GgyGoBGNgiDQ\n0tJCe3s74FmElJSUqLugPsTlctHX18e1a9cYGhrycjeNi4sjNTWVlJQUWd+TzZvh7Nkbt2troaRE\ntuF8jt1u59VXXwXgwQcfVJTLb1QUTE7euD0yAnJlJ7osFlyVlZgTEhiOjWUqOZmenTsBTz+81NRU\n0tLS1POHD3G73TQ1NXHlyhXAU+tYXFwcFJ9xOcWiiNvtpqamhsHBQXQ6HTt27CAmJmZJx7gT//M/\n/8M73/lOAL773e/ymc98xqfjq6iIqIJRJWDp7e2luLiYvr4+du3axeuvv+7TejiXyyXVtxgMBnbs\n2CHbTniwiUaHw0F9fT39/f0ApKens2nTpqDanQ5mpqam6OzspKury6su0WQykZqaSmpqKhERET6Z\nS0oK9PXduH31KgRpdtu8KFkwZmd7lxI2N4MvMjQdDge9vb10d3czPDwsHddqtaxcuZKMjAzi4+PV\naIqP6Ozs5Ny5cwiCQEREBGVlZQHdON4XYlHE6XRSVVXF+Pg4ISEhVFRU+Nw/4Stf+Qpf/epX0Wq1\nvPrqq9x3330+HV9FBVTBqBKgWCwWKisrqaurIzMzk9raWhISEnw2viAI1NbW0t/fj06nY9u2bbIb\nAwSLaJyenqampobJyUk0Gg0bN24kIyNDXdzJjNvtpr+/n46ODq9FtsFgIC0tjbS0NKKjo336Prjd\nYDTC7D7XFguEhvpsCrKjZMG4fTucPHnj9uHDsEBPmSXDYrHQ3d1NV1eXV3sXk8lERkYGaWlpivqb\nByojIyPU1dVhs9nQ6/UUFxezYm7ecgDgS7EoYrPZOHHiBFNTU4SHh1NRUUGoD09ybrebd73rXfzP\n//wPMTEx1NTUsFatCVfxMapgVAk4BEHgkUce4Ze//CUmk4nq6mo2bNjg0/HPnTtHZ2cnGo2G0tJS\nnzmUBbpoHBoaoq6uDofDgcFgoKSkhMTERH9PS9FYrVY6Ozvp6OjAZrNJx+Pi4sjIyCAlJWXJ6xIX\nysgIzN7HiYqCiQm/TEU2lCwY3/52eOmlG7d/+1t417v8MxdBEBgZGeHq1av09vZK6dU6nY7U1FQy\nMzMD6lyoRGZmZqitrWXi+pd4/fr1AdWv0R9iUWRmZobjx49jtVqJiopix44dPs14mp6eZvv27Zw7\nd47c3Fzq6uoCOgqsojzU/DGVgOMXv/gFv/zlLwFPk2VfikWA1tZWOjs7ASgsLPSpnbVohBMZGYnD\n4aCqqkq6ePsTQRC4cuUK1dXVOBwOIiMjqaysVMWiTAiCwOjoKKdPn+b111/n4sWL0s5/ZmYmu3fv\npqKigrS0NL+JRbiNQ6pKUDD3/brb1hpLiUajISEhgeLiYu6//37y8/MJDw/H5XLR2dnJkSNHOHHi\nBD09Pbjdbv9NVMGEh4ezY8cOUlJSAGhqaqK+vh6Xy+XnmflXLILnb1NeXo5er8dsNlNbW+vTv0tE\nRAR//OMfSUhIoLW1lY997GOo8R4VX6IKRpWAorm5mcceewyAL3zhC/M2XpaTq1ev0traCkB+fj6r\nV6/26fgQeKLR7XZz7tw5Lly4gCAIJCcnU1FR4bMaueWEIAj09PRw9OhRjh8/Tk9PD4IgEBkZSUFB\nAffffz+bNm0KGFfJWzqk/vKX8Mc/QksLzIqKqgQWi+3FKBdGo5GcnBz27dvH1q1bJXfKkZERTp8+\nzRtvvEF7ezsOh8PPM1UeYjpqXl4e4HHBPnHiBBaLxW9z8rdYFImKimLr1q1otVqGh4epr6/3qWhL\nT0/nv//7vwF47rnn+PnPf+6zsVVUVMGoEjDMzMzwrne9C4vFwtatW3nyySd9Ov7Q0BDnz58HICsr\ni+zsbJ+OP5tAEY02m42TJ09KEde1a9dSWlrq01Sc5YDb7aazs5ODBw9y+vRp6b1euXIl27dvZ/fu\n3WRkZCxJO5elZK7AkATI5z4Hb30r5OdDeLi3K45KwDBfaw3ZcTjAbIb+fpiZue1dxZYw5eXl7N27\nl6ysLPR6PVarlebmZt544w1aWlq8UrVVFo9GoyE3N5fS0lJ0Oh3j4+McO3aMsbExn88lUMSiSHx8\nPMXFxYDHmE/cYPYV999/P0888QQAn/jEJ2hqavLp+CrLF1UwqgQMn/70p2lqaiImJobf/OY3Pq8P\nqKurkyJoGzZs8Hvdhr9F4/T0NMePH2dkZAStVsuWLVtYt26d3/8uSsLpdHL58mXeeOMNzp49y/T0\nNDqdjqysLPbv309paSkJCQkB+zefNyXV7YbZC0u327vQUSVg8HlK6rvfDSEhEB0NK1fCn/+84Iea\nTCY2btzI/fffz4YNGwgNDcXhcNDW1sYbb7zBhQsX/BoFUyIrV65k586dhIeHY7VaqaqqYsCHYehA\nE4siK1eulEplWltb6e3t9en4//Iv/0J5eTkWi4V3vetdzNxh40VFZSlQBaNKQPDcc8/x05/+FIBn\nn32WdB/68jscDmpqaqTavKKiooBZoPtLNE5MTHD8+HGmp6cxGo3s2LGD1NRU2cddLtjtdi5evMjr\nr79OY2MjVqsVg8FAbm4u+/fvZ+PGjYSHh/t7mndk3gij2ewRiSIREaBGpAMSn6ekzu2xeA8LXb1e\nz5o1a9i/fz+FhYWYTCZcLhdXrlzhjTfeoL6+nsnZzSVVFkVUVBQ7d+4kLi4Ol8tFTU0N165dk33c\nQBWLIllZWaSlpQFQX1/v081cg8HA888/T2xsLM3NzXzqU5/y2dgqyxdVMKr4nfb2dj760Y8C8MlP\nfpK3ve1tPhtbEARpgWEwGCgrKwu4dEtfi8bh4WFOnDiBzWYjIiKCiooKYmNjZRtvOWGxWGhsbOT1\n11+ntbUVh8NBaGgo69evZ//+/eTl5QVV4/J5axjnpq3J3I5G5d7xeUrq3E2QRURGtFot6enp7Nmz\nh5KSEqKjoxEEgWvXrnHo0CFqa2v9kkKpRIxGI+Xl5axYsUK6Zl66dEm28QJdLIInbbegoIDY2FhJ\nSPsyNTo9PV2qYfzZz37Gc88957OxVZYnqmBU8Ss2m413v/vdTE1NUVRUxLe//W2fjn/x4kX6+/vR\naDSUlJQErJGLr0Rjb28v1dXVOJ1OoqOj2bFjR8D+TYIJi8XC2bNnOXDgAJcvX8blchEREUFBQQH7\n9u0jOzs74DYqFsK8KalzF+nqZkPA4vOU1LmCcQlSSDUaDSkpKVRWVlJeXi716+3r6+PYsWOcPHmS\n0dHRRY+z3NHr9ZSWlkpGcE1NTTQ1NS256UswiEURnU5HaWkpoaGhWCwWamtrferg+7/+1//i05/+\nNAAf/ehHaW9v99nYKssPVTCq+JXPf/7zNDQ0EBkZyW9/+1ufRld6enpoa2sDYMOGDQHfIkJu0Xj1\n6lXq6upwu90kJCSwfft2nzYnViJ2u52mpiYOHDhAZ2cnbrebqKgoiouL2bt3LxkZGX5ti7FY5k1J\nVQVj0BAd7SkpFJmZgakpGQdcwgjjXDQaDUlJSWzfvp2KigqpHdLQ0BDHjx+npqZGTVVdJFqtlsLC\nQnJycgC4dOkS9fX1SyaSgkksioSGhlJWVoZWq2V0dJTz58/71Dn1W9/6Flu2bGFqaop3vetdWK1W\nn42tsrxQBaOK33jppZd4+umnAfjxj3/sU1fS8fFxGhoaAE9qR2Zmps/GXgxyiEZBEGhtbeXcuXMA\npKSksHXr1qCMeAUKTqdTMuO4dOkSbreb6Ohotm7dyq5du1i1alXA1MkuhuFh79uJiaiCMYjQaK6/\nZ7OY+54uKTIKxtnExcVRVlbG7t27pZ6C/f39HDp0iIaGBtUcZxFoNBry8/Ml05fu7m5qampwOp2L\net5gFIsiMTExbN68GYDOzk46Ojp8NrbRaOS3v/0tkZGRnD17ls9//vM+G1tleaEKRhW/cPXqVT70\noQ8B8JGPfIT3vOc9PhvbarVSU1ODy+UiLi6OTZs2BdXifSlFoyAInD9/nosXLwKQmZlJcXFxUEe9\n/Inb7aajo4MDBw7Q0tKC0+kkIiKCLVu2UFlZyYoVK4Lqs3Yn5vatNhqBuel/qmAMaOYmdcjaizws\nzPu2zO6OUVFRlJSUsHPnTilVtauriwMHDtDY2Ijdbpd1fCWzZs0atmzZgkajYXBwkKqqqnuu4Qtm\nsSiSmpoqRV4bGxsZGhry2dhr1qzhJz/5CQA/+MEP+P3vf++zsVWWD6pgVPE5DoeD97znPYyPj7N+\n/Xq+//3v+2xsl8tFbW0tVquVsLAwSktL0WqD72uwFKLR5XJRV1fH1atXAcjLy2Pjxo2KEjS+QhAE\nenp6OHToEOfPn8dms2E0Gtm0aRN79uwhNTVVkX/XeTOvVNOboEbWbDofRRjnEhsby7Zt2ygvLyc6\nOhq32y21s2lra1t0dGy5kpqaytatW6VejSdOnLjrFg9KEIsi69atIzk5GUEQqKurY3p62mdjv/vd\n7+bv//7vAfjQhz7k0yinyvIg+FbKKkHPl770JWpqaggLC+N3v/udz9oHCILAuXPnGBsbQ6fTUVZW\nFlSOlHNZjGh0OBycOnWKvusN1QsLC8nNzVWkqJGbwcFBjh49yunTp5menkav15OXl8e+ffvIzMwM\nyg2Je0WjQU1JDTJ8+pX3k2CEGzWOlZWVbNmyhYiICJxOJy0tLRw4cICOjg6fGpYoBbFuNCQkhKmp\nKY4fP47ZbF7QY5UkFsHzGSsqKpKuyWK7Ll/xve99jw0bNjAxMcF73vMeNYKusqQsn5WMSkDwl7/8\nRXJCfeaZZ8jPz/fZ2FeuXJH6RxUVFREdHe2zseXiXkSj1WrlxIkTDA8Po9VqKS0t9WnfS6UwNTVF\ndXU11dXVTExMoNVqWbNmDfv27SM3Nxe9Xu/vKcrOgiKMqmAMKpQYYZyNRqMhNTWVPXv2sGnTJoxG\nIzabjfPnz3Po0CGfNqZXCrGxsVRUVBAeHi5dX+7kTKs0sSgyuz3X5OQkZ86c8ZkJzuxN+NraWr70\npS/5ZFyV5YEqGFV8Rk9PDx/4wAcAeP/7388jjzzis7EHBwdpbGwEIDc3VzJCUAJ3IxqtVitVVVWY\nzWYMBgPbtm1j5cqVPp5xcON0OmlububQoUMMXm9cl5aWxt69e9mwYUNQR60Xi0aDWsMYZCyXCONc\ntFotmZmZ7Nu3j7y8PPR6PdPT05w6dYqampq7Tq1c7phMJioqKoiKipLE4PAtHJSUKhZFIiIiKCkp\nQaPRMDAwQEtLi8/GXrduHT/84Q8B+Nd//Vf+/Oc/+2xsFWWjCkYVnyAIAo888ggjIyOsXbuWH/7w\nhz5Lf5yamuL06dMArFy5ktzcXJ+M60sWIhotFgsnTpxgamqKkJAQtm/frqiLtNwIgkBvby+HDh2i\nvb0dQRCIi4tj165dFBUV+Sy1OpBQI4zKQ+kRxrno9Xpyc3PZt2+f1GNQdFRtbW3FJasLkLIIDQ1l\nx44dUjP7U6dO3WT+onSxKJKYmMjGjRsBaG9vp7u722djf/CDH5Q25x955BGfGvCoKBdVMKr4hB//\n+MccOHAAvV7P888/T2RkpE/GdblcnD59GofDQVRUFEVFRYqt07udaLRYLFRVVTE9PS3dTwkpub5C\nTD+tq6vDYrFgNBopKipix44d6t9xFvPWMKqmNwHNco0wzsVoNLJ582YqKiqIjo7G5XJx8eJFDh8+\nrKap3gUGg4Hy8nLi4uJwuVzU1NRImRjLRSyKZGRkkJGRAcDZs2eZkrXJqTfPPPMMa9asYXh4mMce\ne8xn46ooF1UwqsjO1atX+T//5/8AHsOboqIin43d1NTExMQEer2e0tJSxdeVzScaBwYGOHHihJdY\njIqK8vdUg4LZ6afiLm1WVhZ79+4lLS1NsZsPC2XeaNRjj8H//b+e/x9+GFat8vm8VO4dWSOMc5/c\nhw3OF0pcXByVlZVs2rQJg8GgpqneA6JojI+Pl0Rjb2/vshKL4KmX3bhxIzExMZIrua8i1iaTiWef\nfRaAF154gRdeeMEn46ooF43gq2pclWWJIAjs37+fgwcPUlBQQG1tLSEhIT4Zu7e3l7q6OgCKi4tZ\ntYwWrjabjaqqKiYnJ6Vjs8Wkyu0RBIG+vj4aGxulJt9iz041oniD1FTo6blx+9o1zzElYbfbefXV\nVwF48MEHfXb+8hW5udDWduP2xYueY7LQ0gJf/jKYzZ5/69bBz38u02CLx2az0dLSQmdnJ+Cpe1y7\ndi3Z2dlqr9oF4HQ6qamp8aplXC5icTbT09McOXIEp9NJRkYGBQUFPhv705/+NP/+7/9OQkICTU1N\nJCUl+WxsFWWhRhhVZOVHP/oRBw8eRK/X84tf/MJni63p6WkaGhoASE9PX1ZiEZBSJmdHwAoKClSx\nuACmp6fV9NMFom43Kg9Z39N16+DFF+H11+HUqYAWi+A5jxYWFkppqm63W0pTVevC7oxer2fLli1e\nmT15eXnLSiyCxwSnsLAQ8GRc9fb2+mzsp556Sk1NVVkSVMGoIhsdHR1SKur//b//Vzphyo3b7eb0\n6dM4nU4iIyOlwvPlhMVioa6uDkEQJNHY0NCw4D6NyxFBEOjo6JAWgxqNRk0/vUvUP1Hw4Yv3bHR0\nlG9961tUVlayYsUKwsLCiIuLY/PmzXzqU5+iqalJ/kksAjFNtaCgQEpTPXnyJOfOnfNpn71gQ+xF\n6HQ6pWMtLS1STeNyYtWqVVI9Y0NDA9PT0z4ZNyIigp///OdoNBpefPFFfve73/lkXBXloQpGFVlw\nu918+MMfZnp6msLCQr74xS/6bOyWlhapTqKkpGTZpQ6JBjczMzMYjUZ27NhxV30alyMzMzOcPHmS\n8+fP43K5iI6OprKyko0bN2IwGPw9vYBFjTAqj6V+T0+cOEFubi5PPPEEx44dY3BwEKvVytjYGGfP\nnuXpp5+moKCAb33rW0s78BKj0WjIyMhg7969pF7Pu7569SpHjhxRo43zMJ/BTUJCAm63m5qammX5\nN9uwYQNRUVE4nU5Onz6N2+32ybgVFRV86lOfAuDjH/+4auKkck+oglFFFv7zP/+Tw4cPS6movlp0\nDwwMcOnSJQA2bdq07FIwxT6Lsw1u4uLiFtyncbkhRhUPHTrE8PAwGo2GvLw8du7cqaaf3gNqhDH4\nkPM9Gxwc5KGHHmJ4eBiDwcATTzxBU1MTZrOZK1eu8JOf/ISUlBRcLhdPPPEEf/jDH+SbzBJhNBrZ\nsmULpaWlGI1GabPp3LlzXpG05cx8YjEpKYmysjLi4+Ml0XirPo1KRafTUVxcjE6nY3x8nObmZp+N\n/dRTT5Gdnc3IyAgf//jHUe1LVO4WVTCqLDkdHR184QtfAODLX/6yzwq8LRYL9fX1gKeRuthTa7kw\nVyxu27ZNEswL6dO43LhVVDE3NxetVj01LoSb1hyTk9DeDiMjoPavC0qWch35q1/9irHrbVa++c1v\n8o1vfIP8/HwiIyPJzMzkIx/5CK+++qq0ofjv//7vSze4zKxcuZI9e/ZI9fFXr17l8OHDy04EzeV2\nrTP0ej1bt26VWm6cOnWKkZERP8/Yt0RGRrJp0yYALl++TH9/v0/GDQ8Pl1JTf//73/Pb3/7WJ+Oq\nKAd1VaSypLjdbj70oQ8xPT3N5s2b+cd//EefjXvmzBnsdjsmk0k6IS8XHA4Hp06dYmpqipCQELZt\n23ZT6wxVNHoQBIGrV6+qUUUZ0Bw+BGvXQkIC6PXw/vf7e0oqd0DOCOPFixelnx9++OF577Np0yap\nznz2/YOBkJAQiouLKSkpkaKNVVVVnD9/fllGGxfSZ1EUjbGxsZJoXG7XodWrV5OWlgZ46hlFJ265\n2bFjB5/+9KcB+MQnPqGmpqrcFapgVFlS/uM//oMjR45gMBh8mora2trKyMgIWq2W4uJixfdbnI3L\n5aK2tlbqNzmfWBRZ7qJxZmaG6upqzp07p0YVl4CbolFzP0uhoT6bi8rSsJQRxsTEROlnjUYDH/4w\nJCZCVhYUFsL1diWiodTs+wcTKSkp7N69W4o2iuZZyynauBCxKCL2aYyOjsbpdFJdXe0zE5hAYdOm\nTZhMJux2O2fOnPFZPePXv/51cnJyGBkZ4R/+4R/U1FSVBaOukFSWjCtXrkipqP/0T//ksyjf0NAQ\nbdcbiW3YsGFZRYkEQaC+vp7h4WG0Wi1lZWV3fP3LVTR2d3d7OaDm5uaqUcUlRjNp9j4QE+OXeags\nHDkjjA8++KD08wsvvADDw55/HR1w7hxYrVy8eJELFy7cdP9gw2g0zhttbGpq8pkY8Bd3IxZFDAYD\nW7duJSIiApvNRnV1NTabzUcz9j96vZ7i4mK0Wi0jIyO0trb6ZNzZqakvvfQSv/nNb3wyrkrwowpG\nlSVBTEWdmZmhqKiIxx9/3CfjWq1Wzpw5A3h2eUXb6uWAIAhcuHBB6ulUXFxMQkLCgh67nESj0+mk\noaGBM2fO4HQ6iYqKorKykry8PDWquEhu2pyeuzBWHWaDjqUMOFRUVEgpcJ///Oe5el0Yihyqq+PB\nBx/EbrezefNmvvSlLy3d4H5ibrTx0qVLHD9+XLERtHsRiyKhoaGUl5djNBqZnp7m1KlTy6pNSXR0\ntJSO3dbW5rN2I9u3b+czn/kM4ElN9VUdpUpwo66WVJaEH/7whxw9etSnqahidM1msxEeHk5hYeGy\n6pXX1tZGR0cHAAUFBaxcufKuHr8cRKPZbObYsWN0dXUBkJWVpUYVZUSDmt4UbMh9yvze977Hb37z\nG4qLixm+fr4SeeIb38DtdvPVr36Vqqoqxbhai9HGzZs3S46YR44c8WnDdl+wGLEoEhERwdatW9Hr\n9YyPj1NXV6f4iOxs0tPTSUlJAaC+vh6r1eqTcZ988klycnIYHR1VU1NVFoQqGFUWzeXLl6WI4j//\n8z9LO2a+GFdMLywuLl5W/fKuXr0qGUTk5eXdc2RVqaJREAQ6Ozs5duwYk5OTGAwGSktL2bhx47Lr\nyyknd1xjqIuQoGOp3zKXy0VXVxe9vb3Mraw2A2NjY/T29jI+Pr60AwcAq1evprKyUuq9V1dXJ7ky\nBztLIRZFYmJiKC0tRavVMjQ0RH19/bIRMBqNhsLCQsLDw7HZbDQ0NPjktc9OTf3DH/7A888/L/uY\nKsGNRlgu30oVWRAEgf3793Pw4EG2bNnCqVOnfGI4Mzk5yZEjR3C73axfv57s7GzZxwwU+vr6qK2t\nBSAjI4NNmzYtOrJqs9moqqqSxNX27duDNgrncDg4f/483d3dAMTGxlJcXEx4eLifZ6Y8kpJgdv/t\ngS/9O0lf//SNA48/Dt/8pu8nNgdBELDb7djtdpxO57z/XC6X9LMY4RAEgYGBASlNLiUlBa1Wi0aj\nQaPRoNfr0el06PX6W/4zGAwYjcaATX/euBEaG2/cPn/ec2wpsFqtvOMd7+Avf/kLBoOBEaORyKkp\n6fcvfu97fO7f/o1r166Rnp7O66+/ztq1a5dm8ADC5XLR2NjI1atXAU8qYnFxMSaTyb8Tu0eWUizO\npqenh9OnTwOebJANGzYsm6yhsbExjh8/jiAIFBYWkp6e7pNx/7//7//jO9/5DnFxcbS1tS3J+6ii\nTJaPlaSKLLzwwgscPHgQnU7Hs88+6xOx6Ha7qa+vx+12ExcXx5o1a2QfM1AYHh6WLqgpKSlLIhbh\nRqRRFI1VVVVBKRrHx8c5ffq0VC+Uk5Oj1irKyNztRn+kpDocDqanp7FarVitVmw2m/Tz7GNLsTe6\nmJTCkJAQQkNDpX9Go9Hrdnh4OEaj0ecL5LnDLeUW8lNPPcVf/vIXAH79618T+cgjXr9/54c+xNZ3\nvIPCwkI6Ozv527/9W2pqapZuAgGCTqejoKCAhIQEzp49y8TEBEeOHKGgoEBqrxAsyCUWAVatWoXd\nbuf8+fNcuXKF0NBQcnJyluS5A53Y2FhycnJoa2ujsbGRxMREn2xyPvnkk/zhD3/gypUrfPGLX+RH\nP/qR7GOqBCdqhFHlnpmamiIvL4+enh4++9nP8p3vfMcn47a3t9Pc3IxOp2PXrl1Bu0t7t5jNZo4f\nP47T6SQhIYGtW7cueXplsEYaBUGgo6NDciQMCQmhqKiIFStW+HtqiiYx0WN6KTL4pe+T+PXP3Djw\nhS/At7616HFcLhfT09NMT08zNTXF1NSU9PPdOCuKUcH5/s2OFIpRRIDR0VGGrodRs7Oz0el0CIKA\nIAjzRifnRi3vJv1Qr9cTERGByWSS/om35Uq537QJZnvRnDvnObYUrFy5kv7+fjZt2sS5M2e8TZA0\nGnA6Qavly1/+Mk8++SQAZ8+epaCgYGkmEIBMT09TV1cnpf6vXr2ajRs3BkUrKDnF4mxaWlok53Nf\nRtv8jdvt5ujRo5jNZhITEykvL/fJBtKf//xn3vzmN6PRaKipqaGkpET2MVWCj8A/Q6kELF/72tfo\n6ekhOTmZr3zlKz4Z02w2S7V769atWzZicWZmhpMnT0oun6WlpbLU4gVjpNHpdFJfX09fXx8ACQkJ\nFBUVERYW5ueZKZ+bIozaxS1uBEHAarUyPj7O+Pg4ExMTTE5OMjMzc9vH6XQ6r2jdraJ4er3+rhdg\ndrudV6/3C8zJySEkJOSuHu9yubwinRaLZd4oqMPhwOl0MjExMW8dsdFoxGQyER0dTUxMDNHR0URG\nRi56QSlXhHFkZERyX9yyZQvMSkUFIDISrkf+i4uLpcNNTU2KFowRERFUVFTQ3NzMlStX6OrqYmxs\njNLS0oC+nvlKLIKnLt9ms9HZ2cm5c+cwGo0kJyfLMlYgodVq2bx5M8eOHWNoaIjOzk6fOL+/6U1v\n4i1veQsvv/wyjz32GKdOnVKzclRuQhWMKvdES0uLFFH813/911s2il9K3G43DQ0NUipqVlaW7GMG\nAna7nZMnT0pusOXl5bIa/ASTaJyenqa2thaz2dP/Lzc3l9zc3GVT9xJo3I3YEAQBi8UiCUNRJNrt\n9nnvr9FopGjb7ChcREQEoaGhAfue63Q6IiIiiIiIuO397Hb7vBHUqakpXC4XNpsNm83GyMiI13NH\nR0dLIjImJgaTybSoxd5SCcbZ74dGowHznB6dsxxRb7qvwtHpdGzcuJGEhAQaGhqYnJzk6NGjlJSU\nkJSU5O/p3YQvxSJ4PgObNm3CZrPR39/P6dOn2bZtG3FxcbKNGSjExMSwdu1aWltbaWpqIikpySep\nqd///vd54403qKur42c/+xl/93d/J/uYKsGFKhhV7hpBEPjkJz+J0+lk586dPPzwwz4Z99KlS9IF\na/PmzctiYeF2u6mrq2N6epqQkBDKy8sJDQ2VfdxgEI3Dw8PU1dVht9sxGAwUFxcH5GJLycwN4k7Z\nQ0icfWCW+hAEAbPZzPDwMMPDw4yOjt5SHIaHh0tRtKioKEwmE+Hh4Yre9Q4JCSEkJITY2Fiv44Ig\nYLPZmJqawmw2S+J6cnISl8vF6Ogoo6Oj0v11Oh0xMTEkJCSQkJBAbGzsbbMRJie9by/V2jQ2Npao\nqCjMZjP19fU3C8ZZm4xiL11g2aQfgidlNzo6mpqaGsxmM9XV1WzYsIGsrKyAub75WiyKaLVaiouL\nOXnyJKOjo9TW1rJz585lYV62du1a+vr6MJvNnD171iepqZmZmTzxxBN85Stf4YknnuDtb3+7aoCj\n4oUqGFXumhdffFEyuvnBD37gkwub2WymtbUVWF6pqI2NjQwPD6PVaikrK/Pp6w5k0djR0cGFCxcQ\nBAGTyeTzv42Kh/h4uG5GC8CIJZzMWb+32Wx0X77MyMgIw8PD8zbljoiI8IqQRUdH33Xap5LRaDRS\nSm1CQoJ03OVyYTabvdJ3zWYzLpeLkZERRkZGaG1tRavVEhcXR3x8/LwCclbAEvC8p0s17wceeIDf\n/e53nD17lmN//jM7Z9/humDs7+/nP/7jP66PHb/s6qfCw8OpqKiQ0uobGxuZmJigoKDA7y2A/CUW\nRXQ6HWVlZRw7dkzKJtmxY0dQ1HsuBq1WS1FREUePHvVpauoXvvAFfvnLX3LlyhW+9KUv8Z//+Z+y\nj6kSPKimNyp3xWyjm8985jN897vflX1Mt9vN8ePHGR8fJz4+nu3btwfM7qucXL16lXPnzgFQVFTk\nNze9QDLCcbvdXLhwQbKnX7FiBVu2bFlWPTgDib174dChG7df+eDzvOm/bmQctL/1rTTPcsbUaDTE\nxsaSkJBAfHw8sbGxAf/eza5hfPDBBwNazIoiUhToIyMjOJ1Or/uIAjIhIYG4uBUkJcVIv9NowOGA\npdIpjY2NlJSUYLVaeavBwEuzNgwcu3bxh49/nMcff5yOjg4Ann76aT7xiU8szeBBhiAItLa2Shuj\nsbGxlJaW+iSjZD78LRZnMzk5ybFjx3A6naSkpFBcXLws1gAXL16ktbUVnU7Hnj17fBJdfeWVV3jL\nW96CRqOhtrbWq75YZXmjCkaVu+KJJ57gW9/6FsnJyVy8eNEnwqGtrY2WlpZl5Yo6PDzMyZMnEQSB\n7Oxs1q9f79f5BIJotNlsnD59muHrtpzZ2dnk5+cvi4VDoPKudwm88MKNv/+/vOnXfOza/wNA0Gjo\n274d83veI0W34uLigi46EEyCcS5ut5uJiYlbCsjxcSOPPPKAdDsuTmBkZGm/T6+88grvf//7+duJ\nCZ6edfxZ4MPXf9ZoNDzxxBM89dRTSzp2MNLb20t9fT0ul4vQ0FDKysqIiYnx6RwCSSyKDAwMcOrU\nKcBjipObm+vX+fgCf7mmPvTQQ7z88suUlJSoBjgqEqpgVFkwFy9eZOPGjTidTn71q1/x/ve/X/Yx\nzWYzR48exe12s3HjxmVhdDMzM8PRo0ex2+0kJSWxdevWgBBF/hSNZrOZmpoaZmZm0Gq1FBYWBl3/\nMqXgcrkYHh6mv7+fL30plj//ebX0u7/7u/O8970jrFixImgF4lyCWTDORRSQw8PDDA4OcvasjU98\nYo/0+5SUKV56qZnk5GRWrFiB0WhcknH7+vqo+vjHyT5wgOTpaZIFgX/W6/ntmjXs3LmTj370ox4n\nVRUAJiYmqKmpwWKxSM6ZqampPhk7EMWiiNhSC6C0tJSVK1f6eUbyMzExwdGjRxEEgYKCAp+kpl65\ncoX8/HxsNhs//vGPVQMcFUAVjCoLRBAE7rvvPg4cOEBFRQVHjx6VXcQsx1RUp9PJ8ePHMZvNmEwm\ndu7cGVApe/4QjX19fZw5cwaXy4XRaKSsrOwmYxAVeXG5XAwMDNDd3c3g4KDUW/DXv87jhRdu7PR/\n6Ut2nnwyeAXVfChJMM7lyBEnu3ffEPS5uaN861vHpdtxcXGsWrWKVatWLZl4BDwtNlwuCIB66EDF\nZrNRW1srGRrl5OSwbt06Wa+BgSwWwbMOqa+vp7u7G51Ox86dO33i0O5v/JGa+tWvfpWvfOUrxMfH\n09raGlCfAxX/oMaZVRbEiy++yIEDB9DpdDzzzDM+EW7LzRVVvBiazWYMBgNlZWUBJRbhhhFOZGQk\nDoeDqqqqeXvGLRWXL1+mtrYWl8tFTEwMlZWVqlj0EYIgMDQ0RENDA3/961+pq6ujr68Pl8uFwWAg\nNTWV/PwVXo8xm5UjppYDExPe0d/VqyNYs2aN1AJkdHSUCxcu8Nprr3Hq1Cm6u7tvqom8J0wmVSze\nAfFcK7rGtre3U1dXJ23WLDWBLhbBk7pcWFhITEwMLpeLmpoabDabv6clO2vXriU6OhqXy0VDQwO+\niPN84QtfIDMzk5GREb70pS/JPp5K4KMKRpU7MjU1xec+9zkAPvGJT7Bx40bZxzSbzVy8eBGA/Pz8\nO/YwUwKtra1S8/ni4uKArdX0hWgUBIGmpiYaGxsBSE1NZceOHYTN7eOgsqQIgsDExARNTU28/vrr\nnDx5kq6uLpxOJyEhIWRmZrJ9+3YeeOABtmzZQmZmjNfj5zpuqgQ2c9+v5GQjGzZsYO/evezZs4e8\nvDxMJhOCIDAwMMCZM2f461//ypkzZxgcHMTtdvtn4ssErVZLQUGBdM3t6+vj1KlT87oNL4ZgEIsi\nOp2O0tJSjEYjMzMznD59WvGfQzEtWaPRMDw8LJm+yUlYWBjf//73Afjxj3/M6dOnZR9TJbBRBaPK\nHXnyySfp7u5mxYoVfPWrX5V9PEEQpF20hIQEMjMz7/ygIKe3t1dyx9uwYUPA9xOUUzS63W4aGhq4\ndOkS4DG3KSoq8rvFvJKxWq20t7dz+PBhjhw5wqVLl7Bareh0OlatWkVZWRn3338/mzZtIiEhQTJB\nmLumVAVjcHGrlhoajYbIyEhyc3PZs2cPlZWVZGVlYTQacblcdHd3U11dzeuvv86FCxdkzTJY7mg0\nGrKysigtLUWr1TI8PMyJEyewWq1L8vzBJBZFwsLCKCsrk/4eFy5c8PeUZCc6Oloy+mlqamJmZkb2\nMd/ylrfw5je/GUEQeOyxxxQvzFVujyoYVW7LxYsX+c53vgPAt7/9bZ+YnFy9elW6eBUWFio+FXVi\nYsLT2BpYvXp10Bj7yCEanU4ntbW1XLt2DfCI5/Xr1yv+M+APxJTTuro6Xn/9dZqbm5m83sU9MTGR\nzZs3c//991NcXExycvK8TnmqYAxuFtKDUaPREBMTw8aNG7nvvvsoLy8nNTUVnU6HzWbjypUrHDly\nhGPHjtHV1SVbyuRyZ+XKlZSXl6PX6zGbzRw/fpypqalFPWcwikWR2NhYCgsLAc+aQWzNomRycnKI\niorC5XLR1NTkkzG///3vYzQaqa2t5dlnn/XJmCqBiSoYVW6JIAh86lOfwuFwsGPHDp+4otpsNlpa\nWgDPyVHpqag2m42amhpcLhexsbFs2rQpqMTRUopGu93OyZMnGRgYQKPRUFRUxJo1a5Z4xip2u51L\nly5x8OBBTp48SW9vL4IgEBkZyYYNG7j//vvZtm0bq1evvmMN7U2C8aoZsrJu/Pv612V8JSqLZSGC\ncTZarZakpCS2bNkipSUnJiYCMDY2RkNDA6+99hoXLlzwFjOqiFwSEhISqKiokNIxRVO4eyGYxaJI\nWloa2dnZAFy4cEFquaRUxBRl8GQlDQ4Oyj5mVlYWTzzxBOBpqyaaMKksP1TBqHJLXnvtNd544w20\nWq3PjG5aWlpwOBxERERIFwKlIggCp0+fxmKxEBoaSmlpaVCmXS6FaBQXP2NjY+h0OrZu3aq2zVhi\nzGYzZ8+e5fXXX6epqYnp6Wm0Wq1UH7p7927WrFlzV43CbxKMU0bo6LjxT11cBDR3Kxhno9frSU1N\nZdu2bezbt4+cnBxCQkJwOBxcuXKFgwcPUl1dzcDAAMITT0BSEmzbBh/4ABw5sqSvYzkRFRXFzp07\niYiIwG63c+LEibsWDkoQiyL5+fmsWLFCup4uVapuoBIXFyddGy9cuOCTNNHHH39cMsD5xje+Ift4\nKoGJKhhV5sXtdku7So8++iibNm2SfczR0VE6OzsB2LhxY1CKp7uhra2N4eFhNBoNpaWld7VQDzQW\nIxpnp1eFhISwffv2gK/hDBZEs5KqqioOHz5MZ2cnLpeL8PBw1q9fz/3338+WLVuIj4+/pw2hmBiY\n/TCz1YiDWc6batemgGYxgnE2ERER5OfnSynMovgYHBzk1KlTDFVXw9AQVFfDr34F3d2LnPnyJjw8\nnIqKCsktVHSwXQhKEovgSZnesmULERER2Gw2zpw54xMXUX+yfv169Ho9U1NTXL58WfbxwsLC+Pr1\nbJGnn35aKhlRWV6oglFlXn7zm99w7tw5QkND+cpXviL7eIIgcP78eQCpabSSGRkZkVxg169fr4hW\nEfciGkdGRiQDh7CwMCoqKhTxt/A3giDQ3d3NkSNHOHXqlJSqlZSURFlZGfv27SM7O3vRPQV1Opj7\ndo0St6jnVPEdSyUYRbRaLatWrWLHjh3s2rWL1atXo9VqMc4RM04fNB9XOuL5NikpCUEQOHPmzB3F\ng9LEoojBYKC4uFgywWlra/P3lGTFaDSybt06wOOubrFYZB/z3e9+N5s3b8Zms/lkTagSeKiCUeUm\n7HY7X/7ylwH45Cc/SWpqquxjdnZ2MjExgVar9UnbDn9is9kki+rk5OSgMblZCHcjGgcHBzl58iQO\nh4OoqCgqKioCtpVIsOByubh69SoHDx7kzJkzmM1mtFot6enp7Nmzh/LycpKTk5c0vfymtFSCfwG6\nXFhqwTib6Ohoj3HSffcROSdl8nBXF83Nzcuih56c6PV6ysrKpGt0Y2MjFy9enDfCplSxKBITE8P6\n9esBj1mf0usZMzIyJAMcsf2UnGi1Wikd9Re/+AXNzc2yj6kSWKiCUeUmfvzjH3PlyhViYmKktFQ5\nsdls0sln7dq1hIeHyz6mvxBbhogRNbG3kpJYiGgcGBigpqYGt9tNfHy82mNxkTgcDi5dusQbb7zB\nuXPnmJ6eRqfTsWbNGvbt20dhYSGRkZGyjH1bwWi3yzKmyuIRBHkFo0jI6CjaWREQR3g4M+HhtLe3\n8/rrr3P+/HmftAhQKlqt1ssgrLW1lZaWFi/RqHSxKJKZmUlycjIAZ86cUfSGhFarlUqFfGWAc999\n97F7927cbjdf+tKXZB9PJbBQBaOKF1NTU3zta18DPIXOcXHyp5ctJ6Oby5cvSy6gxcXFi04JDFRu\nJxr7+/slsZiYmMjWrVvv6MapMj8Oh4OLFy/yxhtv0NTUhM1mIyQkhLy8PO677z42bNgguxC/rWBU\n+/MFLFNTMLv/e2goyLJXd72fqog+L4/NRUWYTCbcbjcdHR0cOHCA+vp6pqenZZiA8tFoNKxfv17q\n09fe3k5zczOCICwbsQiev8PmzZsJCwvDarVSX1+v6HrG+Ph4nxrgaDQavvnNbwLwhz/8gerqalnH\nUwksVMGo4sV3v/tdBgcHSUlJ4VOf+pTs442NjS0bo5vR0VEpkrpu3TqfiHF/Mp9ovHTpErW1tQiC\nINXT6fX6Oz+Zihcul4vLly9z4MABWltbcTgchIaGsmHDBvbv309ubq7PNiNuKxjv0fJfRX58EV0E\nbhKMmjVrWL16NXv27KG0tJSYmBgEQeDatWscPHiQ8+fPK97pUg40Gg15eXnk5eUBcOnSJS5cuEBV\nVdWyEIsiISEhFBcXo9FoGBwc9IkpjD/Jz8/3qQFOaWkp73jHOwBPmw0lC3IVb1TBqCIxNDTEt7/9\nbQD++Z//WfbU0OVkdONwOCT3tqSkJMVHUkXmisampiYEQWDFihVB20bEnwiCQFdXFwcPHqSxsRG7\n3U5oaCiFhYXs37+fNWvW+FyAz11/epneqBHGgGVuxxNfCUaun/s0Gg0rV65k586dbNu2jdjYWARB\nkCKOYuaJyt2Rm5srGaJ0dHRI3gDLQSyKxMXFSX+D5uZmRfcODA0N9bkBzte//nV0Oh3Hjh3jr3/9\nq+zjqQQGqmBUkXjqqaeYnJxk7dq1fOhDH5J9vM7OTsbHxxVvdCPWLc7MzGA0GikqKlJc3eLtMBqN\nXgJZo9GQm5urisW7QBAE+vv7OXz4MA0NDVgsFgwGA+vXr2ffvn2kp6ej1frndD43UK6mpAYHcyOM\nsiU8zI16zNks02g0JCYmUlFRQWlpKZGRkbhcLtra2jhw4ACXL1/G5XLJNDllkpmZ6dWmKTk5WfEZ\nLXPJzs6WHGRPnz6NXcH11L42wMnNzZXWiP/4j//ok16QKv5HFYwqgEe8/fCHPwTgySeflD1KYbfb\nl43RzdWrV+nr6wNgy5YtGI1GP8/It/T393P27FkAdDodgiBQXV294D6Ny53R0VFOnDhBTU0Nk5OT\n6HQ6cnJy2L9/P9nZ2X4X3mpKanDir5TUuYJRRIw47t69m8LCQsLCwrDb7TQ2NnLw4EG6urrU9LcF\nINYsWq1WaWOyt7dXqmlcLmg0GoqKiggNDcVisXD27FnFvn5/GOD88z//M6GhoZw7d47nn39e9vFU\n/I8qGFUA+Kd/+ifsdjvFxcW8853vlH285ubmZWF0MzExIe345ebmkpiY6OcZ+ZaBgQHq6uqkNNS9\ne/feVZ/G5YzFYqGuro7jx48zOjqKRqMhIyODffv2kZ+fHzBGQarpTXDiE8EoCDcLxutunrdCo9GQ\nnp7O3r17Wb9+PQaDAYvFQkNDA0eOHGFk7sRVJOYa3Gzfvl1KV7x06dJN7qlKx2g0smXLFgD6+vro\n6Ojw84zkw9cGOKtWrZJ8Lr785S8rOoKr4kEVjCpcuHCBX/3qVwB885vflD1dcrkY3TidTurq6nC7\n3SQkJEgOdsuFwcFBamtrJTfUkpISwsLCFtyncbnidrtpb2/n4MGD9Pb2ApCSksKePXsoKCjwSjUL\nBG4rGM1mUNOVAhKfCMaREe9Ng7AwWLlyQQ/V6XRkZ2ezf/9+1q5di06nw2w2c+LECerr61VjnDnc\nyg117dq1khFOe3s7Fy9e9PNMfcvsa29TUxPjCs568LUBzhNPPEFMTAwdHR386Ec/kn08Ff+iCkYV\nvvjFLyIIAvv372fv3r2yjiUIghRxU7rRTXNzM9PT04SEhCy7usXR0VFJLCYkJFBWViZtDCykT+Ny\nZXBwkMOHD9Pc3IzL5SI6OpqKigpKSkowmUz+nt683CQYNbOi6IIAk5O+nZDKgvCJYJy7aF2zBu6y\n1tZgMLBu3Tr27t1LSkoKgOSoeuXKFbV+ijv3WczNzWXt2rUAtLW1cWlu1Ffh5ObmkpCQgNvtpqGh\nQbGfmdDQUGlzoK2tTfY+lLGxsVKv7q997WtMqud6RaMKxmXOiRMneOWVVwCk/jpyMjAwIKXXrV+/\nXvbx/MXQ0JCU/lJQULCsmtJPTk5y6tQpXC4XcXFxXmJRRBWN3ojpp9XV1UxNTaHX69m4cSM7d+4M\neLOKmwVjvKehX0oKrFsHaiQoIPGJYLzugi2xiPKDsLAwSkpKKC8vx2Qy4XQ6uXDhAkePHl3WaaoL\n7bOYl5cnlX80NTVx7do1X0/Vb4j9GfV6PWazmdbWVn9PSTYyMzOJiIjA6XTS1tYm+3if/OQnSUlJ\nYWhoiO9+97uyj6fiP1TBuIwRBEHaHXr3u99NUVGR7OOJRjfp6ekBGzFZLE6nUzJ5WbVqlbQrvhyw\nWCxUV1fjcDiIjIy8bZ9FVTR60k/b2tq80k/T0tLYt28fWVlZfnM+vRtuEoy6JISpaejpgeZmUHAW\nQTDjE8G4ejW8/e030lCv15MthqSkJHbv3k1+fv6yT1NdqFgEj2jKz8+X6twaGhp8Yo4SKISHh7Nh\nwwbAk5qr1NRUrVZLfn4+4DHcm5mZkXW88PBwvvKVrwDw7W9/m6GhIVnHU/Efgb8aUZGNV155haqq\nKvR6PU8++aTs4127dk1yeVRyPV9TU5PUQkPJ7ULmYrfbqa6uxmKxEBYWRnl5+R2bxy9n0Tg2NsaR\nI0doaWnxSj8tKioKKifd8HBPaZqIw6G5qcefSuDR3+99OyFBhkHuvx/+5388mwednfCRjyzJ02q1\nWnJycuZNU10ubqp3IxZFNBoNhYWFrFixAkEQqK2tZWxszEcz9j+rV6+WWm3U19crtl3LypUriYmJ\nwe12+6Rm9dFHHyU3N5epqSm+/vWvyz6ein9QBeMyRRAE/uVf/gWAj3zkI7I7lbpcLunElZWVFXDG\nHUvF0NAQV69eBWDTpk1BtfBfDE6nU2r7YDAYKC8vX3Aa7nITjS6Xi+bmZo4dO8bk5KSUflpZWRnw\n6ae3IjPT+/YyK5EKOgQB2tu9j819D5cUjcYTbUxOXtKnnS9NtaGhgZqaGp80MPcX9yIWRbRaLcXF\nxcTGxuJyuTh16tSyqT0TBbNer2dyctInKZv+QIwmg2cjxWw2yzqeXq+XhOKPfvQjBgYGZB1PxT+o\ngnGZcvDgQU6fPo1er+cf//EfZR/v6tWrUrPxnJwc2cfzBw6Hg4aGBmB5paK63W7OnDnD6OgoOp2O\nrVu3EhkZeVfPsVxE49jYGEePHqX9+mp9xYoV7Nmzh6ysrKA2RZr7lVYFY2AzMADT0zdum0zBnTmc\nlJTErl27pGvLwMAAhw8fVmS0cTFiUUSv17N161ZMJpNXZshyICwszCs1VakR1sTERKmNl1gKJCdv\ne9vbyM/Px2q18r3vfU/28VR8jyoYlylPPfUUAO973/tYvXq1rGM5HA5pJ2/t2rUB0z9uqWlubsZi\nsWA0GqUmukpHEATOnTtHf38/Go2GkpKSe46SKVk0zhdV3Lx5M2VlZYowRJqboKAKxsBm7vuTne0J\nAgYzOp2O/Px8du7ciclkkjbwlBRtXAqxKBISEkJ5ebnU2P7UqVM4HI4lnnFgMjs1taGhQbGpqWKU\ncWBgQHZjKK1WK3liPPPMM4qtEV3OqIJxGVJTU8Phw4fRaDQ8/vjjso93+fJl7HY7oaGhZMqa9+Q/\nZqeiFhQU3LF2Tym0tLTQ1dUFINXGLAYlisZbRRVXr14d1FHF2cyNMM5Nd1QJLOa+P3dK+rDb7Rw+\nfJhf/OIX/PCHP+SVV14JWJfN2NhYdu3aJZVZiNHGa9euBXW0cSnFokh4eDjl5eUYDAbMZjM1NTWK\nFU+zmZuaqlTX1JiYGFatWgV4NrTl/vy/5z3vIT09ncnJSX74wx/KOpaK71EF4zLkG9/4BuBJIVi3\nbp2sY1mtVqnnU15e3k3tFZTA7FTU1NRUVi6wMXWwc/nyZUkErV+/fski1UoRjW63m5aWFo4fP67I\nqOJsboowvnYJHnoIKitBTU8KOOaLMM7HzMwM//iP/0hiYiJ79uzh0Ucf5bHHHuMtb3kL6enpbN++\nndra2psf6HZDbS3Y7Us/+QWg0+lYv349FRUVUrSxvr6e2tpa2XvTyYEcYlEkKiqKsrIytFotIyMj\nnDlzJqiF9UKZnZp66dIlxaam5uXlodFoGB0dlb220GAw8IUvfAGA733ve7I7tKr4FlUwLjOampr4\n4x//COCT2sW2tjZcLhcmk0my81Yas1NRl4sran9/P42NjQCsWbNmyU2Tgl00WiwWqqqqaGtrQxAE\nkpKSFBdVnM1NEcbhWHj5ZTh2DFpa/DMplVuykAjjwMAAJSUlfPOb38RsNpOTk8MHP/hBPvWpT/He\n976XjIwMTp48SX19/c0Pbm2FsjKIioJt2+CrX5XnhdyBuLg4r2hjf38/R44cYXh42C/zuRfkFIsi\n8fHxlJSUoNFo6Ovr80nNWyCwevVqyTFWqampJpOJ9PR0wDdRxkcffZSkpCSGhoZ49tlnZR1Lxbeo\ngnGZ8a1vfQuAffv2UVxcLOtY09PTUprmunXrgqKn3N0yODi47FJRJycnOXPmDAApKSmsX79elnGC\nVTT29/dz+PBhRkdH0Wq1FBQUsHXrVsVFFWeTmgqzDYFHiWeUWM+NIHjPlht3ijDa7Xbuu+8+mpub\niYyM5MUXX6StrY1f/OIXfP/73+e5557jypUrVFdXU1ZWdvMA1dWe/202z8/ibT8wO9oYFhaG1Wql\nqqqK1tbWgI+k+UIsiiQnJ0u195cuXZJKDZSMRqOhoKBA8ampubm56HQ6JicnZU8lDwsL47Of/Szg\n6cu4XOpilwPKW8Gr3JKrV6/y3HPPAb6JLl68eBFBEIiNjVVkmqbD4eDs2bPA8klFtdvt1NTU4HQ6\niY6OZvPmzbJGzIJJNLrdbhobG6mpqcHhcGAymaisrCQjI0ORUcXZaLWwZo33sctcP6CaHwQUgnBn\nwfjUU09x/vx5AH7/+9/zjne8Y97n2rp1K5s3b775F6dOed8uL7/X6S4ZYrQx+Xprj4sXL3Ly5Ems\nVqufZzY/vhSLIhkZGZLPwLlz5xhdBg1Vw8LCpMwgpbqmhoaGsub6CfrixYuyR1L/4R/+gaioKLq6\nunj++edlHUvFd6iCcRnxr//6r7hcLkpLS9m9e7esY01MTNDd3Q14nLqUuGBubW1dVqmobreb06dP\nMz09jdFopKysDL1eL/u4wSAap6enOX78OJcvXwYgLS2NyspKoqKi/Dwz3zFXdLRzPc8xwN6r5c7g\nIMxuuxcR4d0e0WKx8P3vfx+Ad7zjHezbt+/uB5kbUdy69R5muvSEhIRQWlrKxo0b0Wq1DA8Pc+TI\nEQYHB/09NS/8IRZFNmzYQEJCAm63m9raWsU4zN6OtLQ0ybDt3LlzAR95vheys7MJCQnBYrFIWVFy\nER0dzWOPPQbAN7/5Tdxut6zjqfgGVTAuEwYGBvjZz34GeKKLcgs4sQYiKSmJhIQEWcfyB2azmStX\nrgCeC+xySEVtampiaGgIrVZLaWmpT1MsA1k09vb2cuTIEWlxt3nzZoqKinwipgOJm3oxcl1BqhHG\ngOJOLTX+8Ic/SJb4H/rQh+5+ALMZmpq8j82XtuonNBoNWVlZVFRUEBERgc1mo7q6mubm5oBY2PpT\nLIKnPUJJSQnh4eHYbDZqa2sVWds3G41Gw6ZNm9DpdExMTMguqPzB7B7YbW1tsqeKfuYznyE0NJSW\nlhb+9Kc/yTqWim9QBeMy4Xvf+x5Wq5X8/HweeughWccaHh6WdmzFPkBKQhAELly4gCAIJCQkSLbV\nSqazs1MSyJs2bbrnXouLIdBEo9vt5sKFC9TV1eF0OomKiqKyslL2vqaBihphDA7uZHhz4sQJwCMc\nKioqAE82xS9/+Uuefvppnn/++dsvqGtrPXmvIvn5EBOz+IkvMTExMVRWVkrn7/b2dk6ePOlXF1V/\ni0WRkJAQysrK0Ol0jI+P09DQoMio22zCw8MlQdXS0hKUbrp3IjMzk7CwMOx2u+ReLxdJSUl8+MMf\nBjwp7kr//CwHVMG4DJiYmJB64jz++OOym8+IheOpqalER0fLOpY/6OnpYXh4GI1Gw8aNGxWZbjub\nkZERzp07B3gcUUXHNX8QKKLRbrdTXV0tieiMjAx27txJZGSkz+cSKNzUWkOMMI6MeAsIFb9yp/pF\n8buenp7O2NgYDzzwAHl5eZJD6sMPP0xmZib79++nra3t5gECNB11PgwGA1u2bKGgoEBqK3H06FG/\nnFMCRSyKREVFScZ4PT09UgslJZOdnU1ERAQOh4MWBbo763Q6cnNzAbhy5YrsUcb/83/+Dzqdjrq6\nOg4dOiTrWCryowrGZcAPf/hDzGYz6enpvPe975V1rNHRUcmyfO3atbKO5Q8cDgdN19OtsrKyFF+j\nNjMzQ21tLYIgkJiYGBARY3+LRrPZzLFjxxgeHkar1VJYWEhBQYEie4zeDTe11hAjjHY7BFEbA6Uz\nd90/VzCOjIwAnsXlzp07ee2118jKyuLDH/4wH//4xyURceDAAcrKyqTzoUQAGt7cDo1GQ0ZGBhUV\nFYSGhmKxWDh+/Di9vb0+m0OgiUWR5ORkqVdzS0sL/f39fp6RvOh0OsmPoLOzU5GmP2lpaYSHh+N0\nOqUNT7nIyMjgfe97H3Cj/7dK8KIKRoVjsVj43vXG2Z///OcxGAyyjifuQq5cuVKR0Za2tjasViuh\noaHSTp1ScTqd1NbWYrfbiYiIoLi4OGBao/hLNPb393P8+HHJ+Gf79u1+jbgGEqmpMLuUd4QExojx\n3LhugKXif+ZGGOcK/cnrjjiXLl2is7OTz33uc7S2tvLTn/6UZ555hrq6On71q1+h1WoZHx/nve99\n7410M0G4WTAGcIRxNmKKamxsLC6Xi7q6OsnpW04CVSyK5OTkSGm7p0+fxmw2+3lG8rJixQrJ8fz8\n+fOKS6XUarVSX9IrV67gdDplHe/xxx8H4ODBg9TV1ck6loq8BMbqT0U2nn32WQYHB0lKSro3A4O7\nwGw2SzuQOfN1gg5yzGaz5IK5fv162cW3PxEEgbNnzzIxMYFer6esrCzgjH18KRoFQaC9vd2rpUhl\nZaVfajkDFZ3uNq01VMEYECykpYZxVkPNsrIy/vVf//UmA6f3v//9fPzjHwfgwoULvP76655ftLfD\n7KhMVJSnhjFICA0NZfv27aSlpQGe8gqxRlkOAl0sgicCW1hYSHR0NC6Xi9raWsX31tuwYYOiDXBW\nr16N0WjEbrfT2dkp61j5+fm89a1vBdQoY7CjCkYF43A4+Pa3vw14HKvkdrUUo4uJiYnExsbKOpav\nWW5GN11dXfT09ABQXFwcsNFiX4hGl8tFfX295Py7atUqduzY4VOX2GDhlsY3qmAMCIaGPCamIuHh\nMLd97Ozv+iOPPHLLGu3ZG5CHDx/2/DC3frGszNOkM4gQnY43bNgAQF9fH8ePH2dmZmZJxwkGsSgi\nbhoajUamp6cV23pCROkGODqdTurLePnyZdndgcW+3y+99JIia0OXC8F1Jle5K1544QU6OzuJioqS\ndoPlYnp6WhIYSowuLiejG7PZLDXtzsnJkfpTBSpyikar1cqJEyeknqLr1q1jy5Yty65lxkK5ZWsN\nVTAGBHdqqQGeuiORvLy8Wz7X7N9du3bN80MQGd7cDo1Gw5o1aygvL8dgMGA2mzl69OiS1bQFk1gU\nCQsLo6ioCPBcD+WOTPkbpRvgZGRkoNfrsVgs0vVNLkpLS9mzZw+AFMRQCT5Uwahgnn76aQD+7u/+\nTna30kuXLiEIArGxsYrru7icjG6cTid1dXW43W7i4uJuu2AMJOQQjdPT05w4cUJa1JWWlrJ27VpF\nbxYslmCLMAqCgM1mY2JigqGhIQYHB+nv76evr4/e3l56enq8nEB7e3vp7e2lr6+P/v5+BgYGGBwc\nZGxsDIvFEhB9/G7HnQxvAMn0A7jtZ33276RoU5AZ3tyJpKQkdu7ciclkwm63c/LkyUUbvwSjWBRJ\nSkqSNoQvXLig6HpGpRvgGAwGsrKyAE92mNwR489//vMAPPfcc5KxlkpwoW6TK5TTp09z6tQpNBqN\n7NFFq9VKV1cX4IlIKW1BLRrdGI1GxRvdXLhwgampKQwGQ0CZ3CwEUTRWVVUxOTlJVVUV27dvv6fN\nkvHxcU6dOoXNZsNoNFJeXq7IFjFLzbwRxtBQ8HHjb1EIWq1W6f+5/8Tjd7NQEltO3A6j0UhoaKj0\nv/hv7m1/fLfuZHgDsH//fp588snr979EZWXlvM8l1nODp4USk5Nw4YL3ncrKFjXfQMBkMlFRUUFt\nbS0jIyPU1tZSUFBwT2ZXwSwWRfLy8hgZGWF0dJS6ujoqKysVm3GxYsUKkpOT6e/v5/z581RWVipq\nfZOVlcXly5eZmpqir6+PlJQU2ca67777yMnJob29nZ/+9KeSGY5K8KDMb7kKP/jBDwB485vfLO0i\nycWVK1dwu91ERkaSnJws61i+ZrbRzYYNGxRtdHPt2jVJ+BcVFQVljd5SiMahoSFqa2txOp1ERERQ\nXl5ORESEjLNWDjdFGOO3wtDMzXmPS4Tb7WZqaorx8XHGx8eZmJhgZmYGm812V0JQq9USEhKCTqdD\no9Gg0WjQarVoNBrGx8el+4mfI0EQcLvd0v8Oh0MyRrHZbAuqeQoJCSEsLIyoqChiYmKIiYkhKipK\n1sX3QiKMO3bsIC0tjWvXrvHcc89Jzbfn8utf/1r6ee/evR6L3Fde8UQZq6thYgIUYgoVEhJCeXk5\np0+fpr+/n7Nnz2Kz2e5qg1QJYhE835Xi4mIOHz7M1NQU58+fl1JVlcjGjRsZHBxkYmKCzs5Or5Tt\nYMdoNLJ69Wo6Ojpob29n5cqVsglirVbLY489xmc+8xl++MMfSj0aVYIHjaDkyuVlytDQEGlpadhs\nNl5//XX2798v21gOh4PXX38dp9NJUVGR5C6nFE6ePMnQ0BDx8fFs375dUbuLs5mcnOTo0aO4XC6y\nsrK80tKCEZvNJolGg8GwYNHY09NDfX09breb6OhoysvLvVwjVW6Py+UxUrHbbxwbG4OYmMU/t9vt\nZnJyUhKG4+PjmM1mXLeJXup0ultG+GbfNhgMt/xu2+12Xn31VQAefPDBW7oFO53OW0Y0Zx+7k8Nk\nZGQkMTExREdHS/8vlYgsLoYzZ27cPnIE5gsg/uIXv+DRRx8F4Fvf+hZf+MIXvH7/xhtv8OY3vxm7\n3c6mTZs4e/asYs+Ns3G73Zw/f16q38vKymLDhg13fO1KEYuz6e/vp6amBkCR1/7ZtLa2cvHiRQwG\nA/v371fUxvHMzAwHDhxAEATKy8tJSkqSbayJiQlWrVrF9PQ0L730kuSeqhIcqBFGBfLTn/4Um81G\nbm6uZ+dXRjo6OnA6nYSHhyvOOXRoaIihoSEARRvduFwuTp8+jcvlIiYmhvXr1/t7SovmXiKNV65c\n4cL1lLrExERKSkoUtTDwBTodZGXBxYs3jl2+DFu23N3zzBaHokCcmJiYt0ZQo9FIUbro6GhMJpMk\nBPV6vc++t3q9HpPJhMlkuu39XC6XJCCnp6cl8TsxMYHT6WRycpLJyckbRjJ40iLFKOS9isiFtNQQ\n+eAHP8gbb7zBc889x+OPP87vf/979u/fj9FopLa2lldeeUWqWf/Nb36j2HPjXLRaLQUFBRiNRtra\n2rhy5Qo2m42ioqJbphgrUSwCJCcns2bNGi5fvsy5c+eIiYkJWDftxZKdnU1nZycWi4X29nbyg6hV\nzJ0IDw8nNTWVa9eu0d7eLqtgjI6O5gMf+AD/8R//wQ9+8ANVMAYZaoRRYTidTrKysrh27RpPP/00\nn/jEJ2Qd64033pB2mTMzM2Uby9cIgsCxY8cYHx8nNTWVLXe74g0izp07x9WrV9Hr9ezatUtR6ZcL\niTQKgsDFixclc5NVq1bddgGocnve8hZPZqLI88/De95z58dZrVYGBgbo7+9naGho3sjhbHEoCqeo\nqChZU5sWGmFcLIIgMDU1JQnI2SJyPuLi4khOTiY5ORmTyXRH0TY0BLPXgmFhMD1962xhh8PB1772\nNb71rW9hnx0yvk5lZSU/+clPFOmKvRAWssGkVLEo4na7OX78OOPj40RFRbFz507Fphl2dXXR0NCA\nTqdj3759hIaG+ntKS8bk5CSHDh0CoKKiQtb+ws3NzdKmdFNTk6LEt9JRI4wK4+WXX+batWuYTCY+\n8IEPyDpWV1cXdrtdyoNXEn19fYyPj6PValm3bp2/pyMbvb29UmPiwsJCRYlFuHOkURAEGhsbuXLl\nCrDwFDOVW3OT8c2l+e8nCAKTk5P09/fT39/P2NiY1++1Wq2Unin+i4yMVOyCVKPREBkZSWRkpMdE\nBs/faHp62isNd3x8HKfTyejoKKOjozQ3NxMRESGJx7i4uHk3OxbSUmM2BoOBf/mXf+Gzn/0sr776\nKleuXMFqtbJy5Up27twZ9GnriyUrKwuj0Uh9fT1DQ0NUV1dLbThA+WIRbtQzHjlyBLPZTGNjIwUF\nBf6eliykpaVx6dIlJicnaW1tVdTrjIyMZOXKlfT19dHe3k6ZjGZV+fn57Nmzh0OHDvHMM8/wzDPP\nyDaWytKiCkaFIZrdPPLII7K2f3C73Vy6vgLJyspS1CLO7XZLTdozMjIIDw/384zkwWKxcPbsWcDz\nOpWWUixyK9EYFRXF+fPnJcG8bt06Rbr8+pqbjG9mGa243W5GRkYkkTi3GfpChM9yQqPRSGmus0Xk\n5OSkFI0dHR1lenqay5cvc/nyZQwGg+TumJSUJAmYhRjezEdsbCwPP/zwUr4sxbBq1SpCQkKoqalh\nbGyMkydPsm3bNgDFi0WRiIgICgsLOX36NFevXpU+e0pDo9GQn59PTU0NnZ2drFmz5o7p58FETk6O\n1C7IbDbLun785Cc/yaFDh/iv//ovnnrqKdWBPEhQBaOCuHjxopRWIHcrje7ubiwWC3q9XlGpqOCJ\nnE5PT6PX61m7dq2/pyMLgiBw7tw5HA4HJpOJDRs2+HtKsjJXNJ44cYLExET6+voAWL9+PdkLXUGr\n3Ja5Eca2v17Csu9jDG7ZQuPOnTelWMbHx5OcnMyKFSsUWwO1lIhpuVFRUeTk5GCz2STxODg4iMPh\noLu7m+7ubjQajfT3bW5OA26k0y5ZJunEBLzznfA3f+PJR15m36PExETKy8uprq5mfHycEydOAB6H\nbaWLRZFVq1YxODhIV1cXZ8+eZc+ePbKlbvuTFStWEBcXx+joKC0tLZSUlPh7SkuG2EN7eHiY9vZ2\nWctw3vzmN7N69Wq6urr49a9/Lft6VWVpWN7btwrjxz/+MQC7du2SNY1SEAQpupiZmakoYxCn00lr\nayvgKXRXqkPmtWvXGBgYADwOd0qKEN8KUTSaTCacTqckFjds2KCKxSVkrhBpHkzEePAQmtOncTqd\n6PV6UlJSKCoq4sEHH2THjh1kZ2erYvEeEUsCSktLefDBB9m6dSsZGRmEhoYiCALDw8M0NjZy+LB3\ns+wlE4yvvQYHDsDnPud50je/eYmeOHiIj49n27Zt6PV6zGYzZrMZrVa7LMSiyIYNGwgLC8Nms0m1\nnUpDo9FI9Xe9vb1eLXeUgLhB3tPTg8VikW0cvV7P3/3d3wHwn//5n3fVAknFf6iCUSFYLBb+67/+\nC4CPfvSjso41MjLC5OQkGo1G9h6PvqajowOr1YrRaGTNmjX+no4sWCwW6YKenZ1NbGysn2fkO0JC\nQrxer1arJSEhwY8zUhaexfIFTKYbJilmomknh9iZGcrLy3nggQcoKSkhLS1NkVEIf6LT6VixYgUF\nBQXcd999VFZWkpubS3R0NJcvx3jd12hsYnBwcPGLtdkORwB5eYt7viAlMjLSywglLCxsWW2CGAwG\nCgsLAU8GUn9/v38nJBOi2RQgla4ohYSEBKKjoxEEQSrVkIsPf/jD6HQ6Lly4wKlTp2QdS2VpUAWj\nQnjxxRcZHR0lMTGRt73tbbKOJRqErFq1SlFOYXa7nfbrhT5r166VtYG2vxBTUZ1OJ5GRkeQto8Wd\nIAhcuHBBaldgNBpxu91UVVUxMTHh59kFL06nk87OTo4dO8bhw4fp6LjCmjXjXvepo4TI8XGSkpKW\nRTQ7ENBoNMTExJCXl0du7i5GRsKk3+n1LsLCLlNdXc2BAwdobW29t4iCywV/+Yv3sbe8ZZEzDz5E\ng5upqSm0Wi06nY7p6Wmqq6vv2HdTSSQlJZGeng7A2bNn53XXVQJiBtfQ0BCDg4N+ns3SodFopBKj\nq1ev3rbH7WJZuXIl/+t//S/AE2VUCXxUwagQxC/co48+Kmsa5czMjJTKp7Taxfb2dhwOB+Hh4WRk\nZPh7OrIwOxV18+bNy2bxLrqhdnR0AJ70qd27dxMZGYnD4VBF4z0wMzNDY2Mjr732GmfPnpVcThMS\nEti5M8zrvqcphmvXPM0AVXzO6dPetzdtcpOVlYpWq2VmZoaLFy/yxhtvUFdXx+jo6MKjjqdOwcis\nVNeYGLhu+rJcmOuGum3bNrZt24ZOp2N8fHzZicb169crPjU1KiqKtLQ0wBNlVFJKZWpqKiEhIdjt\ndnp7e2Ud62Mf+xgAv/vd7xgdHZV1LJXFowpGBXDhwgVOnjwJwN///d/LOpaYphATE6OoVEaLxSJF\nTvPy8hTpzjg7FTUnJ0dR79+daG1tld7f9evXs2bNGqmmURWNC0esiautreWNN97g8uXLOJ1OjEYj\nOTk57Nu3j+3bt7N7t3cqXh0lnqZ/ZrOfZr68qavzvr11q4GioiIeeOABNm7cSFRUFIIg0Nvby/Hj\nxzl27BjXrl3D7Xbf/olfftn79oMPgoJq2u/ErVpnxMXFUV5ejk6nY2xsjNraWlmjNYHE3NRUcYNZ\naYjrhImJCdmFlS/R6XRSmzTxmikXe/fuJSsrC6vVyi9/+UtZx1JZPMpbFS9DfvSjHwGwf/9+Wevu\nXC4XnZ2dgCe6qKT2A62trbjdbqKioiT7eiUhCAJnz56VUlFzc3P9PSWf0dHRIRkZ5eXleRncqKJx\nYYjf/SNHjlBVVSUtAmNiYtiyZQv33Xcf+fn5Uh/PueaBDWzGiQ66u309dRVujjCK74/BYCArK4td\nu3axY8cOUlJSABgfH6e+vp7XX3+d1tZWbDbb/E88t35xGRne3KnPYnx8PFu3bkWr1TI8PEx9fb2i\nIlG3Y3Zq6rlz5xSZmhoeHi5lWbW0tNx5cyWIEF/X+Pj4Tf1xlxKtVit5bvzoRz9aNt+PYEUVjEHO\n9PQ0v/rVr4Ab4X256OnpwW63ExISoqiefZOTk5IQzs/PV5QQFunq6mJwcBCNRrOsUlF7e3s5f/48\n4OkXOl+bFFU03hpBEOjq6uLgwYOcPXsWs9mMRqNh1apVVFRUUFlZSWpq6k0R+VWrYMWKG7cthNNM\nvictVcWnCMLNEcbiYu/bYvuNkpIS9u/fT3Z2NgaDAZvNJqWrtrS0eKdWdnRAU9ON2zodPPCAfC8k\ngLiTWBRJSEiQ2hP09vZy4cKFZbMoXg6pqTk5Oej1eqanp+nq6vL3dJaM8PBwydhH7ijjo48+isFg\n4OLFixw7dkzWsVQWhyoYg5wXX3wRs9lMcnIyb5HRbEAQBOnEkZ6erijB0dbWBnh2hJOSkvw8m6XH\nYrHQ2NgILC9X1OHhYc6cOQN4DJo2bNhwy80AVTR6IwgC/f39HD58mIaGBiwWCwaDgZycHPbv309x\ncTFxcXG3fLxGc3OU8TTFcPmyzDNXmUtXFwwP37gdHg6367oUHh7O+vXrue+++ygoKMBkMuFyuWhr\na+PAgQNcvnzZk145N7q4fTvc5jOhFBYqFkVSUlIoKCgAPNkO4vVG6SyH1FSj0ShlrLS2tioq7Vh0\nwO/t7cVqtco2TmJiIu94xzsA+NnPfibbOCqLRxWMQc6vf/1rAP72b/9W1n6IY2Nj0gJaSYYw09PT\ndF9Pk8vLy1NkdPH8+fPLLhV1YmKCmpoa3G43iYmJbN68+Y7vrSoaPYyOjnLixAlqamqYnJxEp9NJ\nQjE/P5+wsLA7Pwk3R7HqKIHrqcEqvmNudLGoyBMMvBN6vZ6MjAz27NlDYWEhYWFh2O12GhsbOXjw\nIJYXXvB+wDJwR71bsSiSkZEhOVJfvHhRymhROklJSdJ64dy5c4o0/8nKysJgMGC1WqW1hBJISEgg\nMjISt9ste/T00UcfBeCll15ienpa1rFU7h1VMAYxvb29HDx4EID3ve99so4lXuCSk5MJDw+XdSxf\ncunSJcDTW0mJDZYHBgakfliFhYWKigzfCtHO3ul0Eh0dTUlJyYJf93IWjWazmZqaGo4fP87o6Cga\njYaMjAz27dtHfn7+XW9IzRthXCbRlUDiVvWLC0Wj0ZCens7evXtZv349BoMBx+goxupq7zsqvH7x\nXsWiyNq1ayXxdPbsWUVG3OYjPz+f0NBQbDabVEuuJAwGg1Tz197erpiUY/H8D571n5yva8+ePaxY\nsYKpqSn+9Kc/yTaOyuJQBWMQ85vf/Aa3282GDRvYtGmTbOM4HA56enoAZUUXrVartHOWk5OjuOii\ny+WSakfS09Nvm0KoFGw2G9XV1dhsNiIiIigvL79robPcROPMzAz19fUcPnxY2lxISUlhz549FBQU\n3HOv1bkRxnMUYLvYsdjpqtwld6pfXCg6nY7s7Gz279/PpoEBtE6n9DvLqlWMJCQsYpaBzWLFIngW\n4Js2bWLlypUAnD59mpHZLUkUisFgYMOGDYCnHs6sQKfkrKwsqfemkhxT09LS0Ol0zMzMyNpvUq/X\n8973vheA//7v/5ZtHJXFoQrGIEZMR33f+94nq9i5du0aLpeL8PBwRdX4Xb58WXJGXTHboUMhXLp0\nienpaQwGg9RoWMm4XC5qamqYnp7GaDRSXl5+zz1Jl4NotNlsUnrhtetmNImJiVRWVlJSUoLJZFrU\n8yclweq0G86BDkK40BkF99IgXuWecLvhehmvxN1GGOdiMBhIO3vW61hvUREnqqqoqalRnCBYCrEo\notFo2LJlCwkJCbjdbmpqapiamlriGQceKSkpJCQkIAgC58+fV0wUTsRoNEqusEqKMhoMBsngUGyp\nJhdiltxrr73G0NCQrGOp3BuqYAxSWlpaqK+vB+Dhhx+WbRxBEKQTRXp6umKicHa7XWrirsTo4szM\njGSukJ+ff8/CKVgQBIFz584xNjaGTqdj69atUouHe0WpotHlctHa2ioZmLjdbmJiYqSG4zExMUs2\nVnGJ9yWmjmK4ngauIj+XLsHsj2x0NCy685LbDX/+s9ch54MPAkhGSfX19VgUsDGwlGJRRKfTUVpa\nKp1XampqFFnbNxuNRsPGjRvRaDSMjIxIGUtKIjs7G41Gw8TEhKIEj5hV1t/fL+t3esuWLeTm5uJy\nufjtb38r2zgq944qGIMUMbpYWVkpNVmVg9HRUSYnJ9FoNLKO42s6OjqkqKnYe0xJXLhwAbfbTXR0\ntLTzqWQuX74sRcmKioqWTPQoTTSOjo5y5MgRLl68iNPpJCIiguLiYnbu3EliYuKSj3dTHWPoDlDQ\nYirQmVu/WFwM2sVe9S0W+Pu/h+vOn0RFkfvhD1NZWSl9hq5du8ahQ4dkr32SEznEoojBYKCsrIyQ\nkBCmpqY4c+ZM0P6dFkpUVJTUJ7qxsVFxIjksLIy0tDQARTnhxsTEEB0dDSCrWZNGo5GijOL6ViWw\nUAVjEOJ2u73SUeVEjC6uXLnynmuZAg2n0ym1CMnOzr6ph1ywM9vopqCgQHHR07kMDAzQdL0fXF5e\n3pJvAChBNLpcLpqamjh+/DhTU1MYDAY2bdrEnj17WLVqlWyfkZucUnPeB3v2yDKWys0sVf2iFxER\n8OSTcPYsdHbC734HISFeUerIyEicTidnz57l1KlTQRdtlFMsikRERFBSUoJGo2FgYIDm5uYlff5A\nZO3atYo2wBFbbIyMjDA6Ourn2SwNc81v3G737R+wCMT17KlTpyRDQpXAQVkr5WXCyZMnuXr1KiEh\nIbzzne+UbRybzSYVcCvJ7KazsxO73Y7RaFRU1BRuNrpRes/FyclJTl8Po6SkpLB27VpZxglm0ShG\nFcULcHJyMnv27CEzM1P2zZLrPcslmppgZkbWIVVmsViH1DuyejXcf7/XIbEOdu3atWg0GgYHB4Mq\n2ugLsSiSkJDAxo0bAU/NuZgloVQMBgPr168HlGmAExkZKW1Ytre3+3k2S8eqVavQ6XRYrVYGBgZk\nGycrK4vy8nJAjTIGIqpgDELEL9Kb3vQmWQVBT08PbrebiIgIEhTigOd2u7l8vXn4mjVrFNdmYjkZ\n3Yj1P2L7jIX0WlwMwSYa54sqFhUVUVpa6rNsgdhYuL7pDnjK3xoafDL0ssfphOtl7hJLEmFcADqd\njnXr1lFRUeEVbaypqQnoaKMvxaJIZmamV7uNsbExWcfzN6tWrZIMcC5cuBAUmwh3Q05ODuCp+VOK\nIDYYDFK6rdw9Gd///vcDnnWu0j4bwY4qGIMMu93O7373O+DGF0suxN3OtLQ0xaQ1dnd3Y7FYMBgM\nioqagrfRzbp16xRtdCMIAqdPn2Z6epqQkBBKS0vR6/WyjxssonFsbGzeqKI/vss31TGenv9+KkvL\nxYve0dzERE9A0JfExsZSWVkpGYsNDAxw6NAhurq6Am4x6A+xKLJx40bJObW2tjagRfVimW2AMzw8\nrDgDnJiYGKmWV0lRRlEwDgwMYLfbZRvnXe96F3q9nvb2durm5tSr+BVVMAYZf/3rXxkdHSUmJoa/\n+Zu/kW2cqakpxsfHAUhNTZVtHF8iCIJ0As/MzLzr/nyBTmNjo2R0ozQxPJfm5mYGBwfRaDSUlpYS\nHh7us7EDWTSKUcVjx475Lao4l5vqGNU1gE+Y+3cuKQF/7PvpdDry8/O9oo0NDQ0BFW30p1gE0Gq1\nFBcXEx4ejtVqpba2FpfL5bPxfU1UVBRZWVmA57rlnNXTUwmIpRHd3d1MT0/7eTZLQ2xsLBEREQiC\nIGuvyYSEBB544AFATUsNNFTBGGSITU3f+c53yroA7O7uBiAuLm7R7QkChb6+PqamptDpdNLFSimM\njo7S19cHwKZNmxQTEZ6Pvr4+KXJWUFDg04WdSCCKxrGxMY4ePSr9bVasWMHu3bv9niGgRhj9w3wO\nqYvi7Fn453+G6yn9d8vsaCN4IhWHDx/2e7TR32JRxGg0UlZWhk6nY3x8XPEmOLm5uRiNRmw2m1Qm\nohTi4+OlciGlmLdoNBopeCB3ra1ofvOb3/xGcZsJwYwqGIOIiYkJXn75ZUDedFRBECTBqJToItw4\ncaenpysqXVMQBGlxkZKSQlxcnJ9nJB8zMzM0XC+CW716tV9bhgSKaHS5XDQ3N3Ps2DEmJycxGAxs\n3ryZsrIywsLCfD6fuWzeDFrtDUHQ2goTz/6PH2e0PJgvwrgofvIT+Jd/8RSl7twJBw7c9VOI0cad\nO3diMplwOBx+jTYGilgUiYqKorCwEPCYwoibgErEYDCQm5sLeK7NNpvNzzNaOjQajbQx0tXVpZjX\nJq4HR0dHmZHRveyhhx7CZDIxODjIgXs4z6jIgyoYg4jf//73WK1W0tLSqKiokG2csbExpqen0Wg0\niulRODY2JpkJrFl05+rAYnBwkJGRETQaDXl5ef6ejmy43W7OnDmDw+HAZDJJ7oL+xN+i0Wq1UlVV\nJaVai1HF1atXB0yU2WSCdfGDXsfqXx/202yWB3Y7nDvnfWxREUabDZ5//sbt48dhcvKeny42NpZd\nu3Z5RRuPHj3q01YEgSYWRVJTUyX37oaGBlkX5v4mPT2diIgInE6nour9wFM3bjKZcLvdsvYv9CUm\nk0nqcSwGFeQgPDyct7/97cCNrDoV/6MKxiBC/OI8/PDDstrhiyeCFStWKCYS19HRAXhO4r6sd5Ob\n2dHF1atXExkZ6ecZycfFixcZHR1Fq9VSUlLiE5ObheAv0Tg+Ps7Ro0cZGxtDp9MFVFRxLsW5U163\n684r47wSqFy44BGNIqmpkJy8iCd8+WWY7d4ZHw9vetMintA72hgREYHNZqOqqkp2F0YIXLEosnHj\nRul8cvr0aVl73/kTrVYruXl3dHQoShxrNBoyMzMBTz9rpbyHs9NS5UwlF7PoXnrpJaampu5wbxVf\noArGIKGnp4fDhw8DN/K75cDtdkuuZUpJR7XZbNJrUlrtYnd3N2azGa1WK6X3KJHBwUFpB3rTpk1E\nRUX5eUbe+Fo0dnd3c/z4caxWK2FhYVRUVARUVHEuJeXe4v509wo/zWR5MLd+sb//FWJiYoiJieHs\n2bN3/4S/+IX37YcfhpCQe52eF7GxsezcuVNyCW1oaJAMvOQg0MUigF6vp7i4GJ1Ox9jYGBcvXvT3\nlGQjJSWF6Oho3G634l5nWloaOp0Oi8VCf3+/v6ezJKxatQqNRsPU1JSs17g9e/aQnJzMzMwMf/zj\nH2UbR2XhqIIxSHjhhRcQBIGNGzfKmoo3NDSE3W5Hr9eTvKgt6cChs7MTt9uNyWRSTD9J8NSuiRfY\nrKysgIwsLQVWq5UzZ84AnovVal/3BlggvhCNYkT5zJkzuN1u4uLiqKysJDo6eknHWWqKH/D+3tVN\n5nkaBarIwtz6RafzJBMTE0xMTNy9iUR/P/z1r97HHnlkUfObS0hICOXl5dKG3uXLlzl16tSS2/cH\ng1gUiYqKkq717e3tDA4O3uERwYlGoyE/Px/wRK2U0rsQPHWa4vVKzHIKdkJDQ6W2IXKmpep0Ot77\n3vcC8PzsdHgVv6EKxiDhT3/6EwD/+3//b1nHEU8AK1euVERTe7fbLZ2os7KyAjYCcy90dnYyMzOD\nwWCQaoGUhiAInDlzBrvdTkREBAUFBQH9HsopGh0OB7W1tVKkNT09ne3btwdF2njBtgj0OKTbV8lk\n+Iwy6noCkbkRxoSERfytf/1rmN3iYcMGj5PREqPVatm4cSOFhYVoNBqGhoYkI6elIJjEosjq1aul\nTJ8zZ84ETBuSpSYpKUkSIS0tLX6ezdIipqUODw8rRgyLn8nu7m5Z01Lf+c53AnDw4EHFtCcJZlTB\nGASMjY1x7NgxwOMeJRcOh0NyZVNKOmp/fz9WqxW9Xq+Y1wSe96q1tRWAnJwcQpYoPSzQaG9vZ3h4\nWOpTFgy9M+UQjdPT0xw/fpz+/n6p8XVBQYGstcxLSWgobDR577BX/WnET7NRNhMTnhrG2Xz0o1vu\n7ckE4eZ01EcekbWho7gREhISwvT0NMeOHWNgYGBRzxmMYhE80bdNmzYRERGB3W6nvr7ery1I5ESs\nZezv7/ep+ZHcREZGSmJYKVFGMaBgs9kYGhqSbZyysjISExOxWq2qW2oAEByrjWXOq6++isvlIi0t\njU2bNsk2Tn9/Py6XC6PRKJ3ggh3xBJ2WlhYUYmOhXL58GbvdTmhoqOLqMkUmJiaklNv8/HzJnS0Y\nWErRODQ0xNGjR6WWGWLqXiBHWuejIrPH6/bBQ36aiMI5cgRml/9lZMwQE3OP9YANDdDYeOO2Tgcy\n1tCLxMfHS6nWTqeTU6dOcenSpXsSS8EqFkUMBgPFxcVoNBqGh4e5evWqv6ckC7GxsZIre3Nzs6KE\nsRhlvHbtGg6H4w73Dnz0ej0rV64E5E9LffOb3wzcyLJT8R+qYAwCxN6LDz30kKyLxNm9F4NtMTof\nk5OTDA977PvFE7YSsNlsUk/JvLw8RaQOz0U0vxAEgYSEhKAUxYsVjYIg0NHRQXV1NQ6Hg8jISCor\nK4N2M2fvDu9eZAebV/ppJsrm4EHv2295yyJcoedGFx94YJF2qwsnPDycHTt2SCKiqamJhoYGXLPT\nY+9AsItFkZiYGMnUrKmpSbHpeevWrUOj0TAyMrLoqHIgkZycTFhYGC6XS1aB5UvEjK2+vr67r4u+\nC97ylrcA8MorryjGaTZYUQVjgONwOHj11VcBedNRrVarVFSvlNRNsfdRfHy8otpNtLe343K5MJlM\npKWl+Xs6stDe3s7ExAQ6nU6qaQpG7lU0ut1uzp8/z/nz5xEEgRUrVlBRUUFERIQPZi0PlW+PR8uN\nxX6zOY3eXj9OSKG8+OKY1+19++7xiex2eO4572Mf/OA9Ptm9IbqFiv1lr127RlVVFVar9Y6PVYpY\nFMnJySE6OhqXyyVtpikNk8lEeno64GmjpJTXqNFopNd19epVRbyuxMREQkJCcDqdsor7/fv3YzQa\nGRwcpLa2VrZxVO6MKhgDnOPHjzMxMYHJZKKyslK2ccS2E5GRkQHvuLgQXC6X1M8rIyPDv5NZQux2\nu5SSlJubGzQ1bHfDxMSEVJ+5fv36oBZJcPeiUUzBE9/nnJwcysrKgj6lOro8n1K8L/iHXr3zwl9l\n4Zw+3UtfX6x0W6uFe75s/PnPMDKrzjQ2Fq7v9vsSjUZDbm4uJSUlUpuJY8eO3bY3m9LEInhMgYqK\niqQInFLq4eaydu1atFotExMTinKGFdsemc1mxsbG7vyAAEer1bJq1SrAs5EjFyaTib179wI3su1U\n/IPyVpsKQ8zbfuCBB2R1Q1RaOmpvby8Oh4OQkBAp114JXLlyBZfLRUREhHSyVhJzU1GVIvYXKhod\nDgenTp1iaGgIrVbLli1byM/PV8R3kogI9sY2eB068PulccBU8fCRj3hHBEtL4Z73/+amo773vR73\nIj+RkpLCzp07CQsLw2KxcOLEiXldJ5UoFkWioqKk1NTm5mZFpqaGhYVJmTOiI7QSCAsLk1qVKaUO\nVXyfBtHRVioAAQAASURBVAcHsdlsd7j3vSOmpap1jP5FFYwBjCAI0hfkLTLu7E5PTzM+Pg4oJx1V\nPCGvXr1aMTV+TqeTK1euAJCdna0METGH2amomzdvVtRrvJNodDgcVFdXMzIyglarpaysTDHfR5F9\nG71Tlw5Wh6GA7KyA4L/+6784d8673+X1jfm7Z3AQ/vIX72M+Tkedj6ioKHbs2EFERAQ2m23e75BS\nxaLIckhNzc7OBmBkZISREeW4KYsboD09PUveY9QfxMTEEBERgSAI9Pf3yzaOaHzT2Nio2Mh6MKAK\nxgCmubmZjo4OtFotf/M3fyPbOOIXPTo6mvDwRRgkBAhms1my5RbrBpRAZ2cnDoeD0NBQRdYuzk1F\nVcJncS63Eo12u52qqirGxsbQ6XRs3bqVpKQkf093ySnfHUoYM9Lt7jETbW1+nJBC6O/v5zOf+Szg\nXbB4z/WLoaHwb/8GRUWe2+vWQUnJoua4VISHh7N9+3ZMJpPX92Y5iEW4kZqq1WoVm5pqMpmkDBol\nRRkTExMJDw/H7XbLmsbpKzQajZTBJadgTE1NZcsWT2sgNS3Vf6iCMYARo4vbt28nISHhDve+d8SC\n5WQfud/JjXgiTkhIwGQy+Xk2S4PL5ZKcUdesWaOYqKmIUlNR52OuaDxx4gTHjh1jYmICvV5PeXl5\n0Dqh3gnjlg1UcNzr2FxXT5W75x/+4R8YH08EbkSkw8KgvPwenzAqCj71KThzBs6fh2eekbX34t0S\nFhbG9u3biYqKkoTisWPHFC8WRZZDampOTg7gWZ8sto9toDDb/EYJghFurBuHhobuysH4blHTUv2P\nKhgDGF+kozocDqn1hBIEoyAIUj2mkqJw3d3dWK1WDAaDoqKmIlevXlVsKup8iKIxIiICp9PJ9PQ0\ner2ebdu2KXqhS0UFez+a43VI7ce8OA4ePMgf/vAHNJr7vI5XVMCSlL1v3Ai7dy/BEy0toaGhkmh0\nOp1MTU2h1WoVLxZFsrOzpdTUxtm9MhVCdHS0lGWhpCijWGYwMTHB5GTw13DHxsYSEhKCy+ViaGhI\ntnHELgFHjx5VzAZCsKEKxgBlYGCAmpoaQN52GoODgwiCQGhoqCLcUYeHh7Fareh0OsWY3QiCIF0w\ns7Kygt4tcy5Wq5WWlhbA4/yqxFTU+dBoNDe53CrR9daLmBj2/b13T83Dh0HGjWnFIy7SBGGP1/Fj\nx/6JmJgYYmJi+PKXvywd3717t3Q82Jm7sTTfd0qpaLVaCgoKAE86oJwpgf5i7dq1gKfmTylR1PDw\ncGlDQwk9GbVarSTs5fwMFhYWkpqaitPp5K9//ats46jcmuVxZg1C/vznPyMIAjk5OVLqiRyIX/Dk\n5GRFRHXEE3BycrJihFVvby/T09PodLqgbGB/J5qbm3E6nZhMJtasWePv6fgE0eBmcnISvV5PeHg4\nTqdzwX0ag5nCQoiLu3F7fBzq6/01G6WgBXZ5HbFaX2FiYoKJiQmvvoVTU1PS8WBGTEU1m81otVoi\nIiJwuVxUV1cH/WtbKLGxsVLGyYULF2RNCfQH8fHxxF0/WSgxytjd3a0I06LZdYxyvR6NRqOmpfoZ\nVTAGKGJhr5zRRbfbraj6RZfLRe/1TuBKcZecHV3MyMggJCTEzzNaWkZGRqRajo0bNy6L6IAoFsfH\nx6U01J07dy64T2Owo9XCHu9gmFrHuAje8Y53cPDgOHCj/2JsrJuRkUOMjY0xNjbG1772Nel3hw8f\nlo4HK3MNbsTv0OyaxvlabiiRdevWYTAYmJmZkerclYRYy3jt2jUsFoufZ7M0pKSkoNVqmZmZkQz6\ngpnExES0Wi02m01y3JcDcT38l7/8BYfDIds4KvOj/NVZEGKxWHj99dcBeQXj6OgoDocDnU4nq6mO\nrxgYGMDpdBISEqIYh8nBwUEmJibQaDSKi7653W7Onz8PeC6gSnnPbofT6aSmpsbLDTU2NnbBfRqV\nwtx2D2od471jMBiorY30OrZ3r5a4uBgp9TR0Vv9Ek8l065TUz34WvvY16OyUedb3zq3cUENCQti2\nbZvknnry5Emmpqb8PV3ZMRqN5OfnA9DW1qaY1E2RFStWEBUVhdvtltpKBTshISGsWLECUEZaqsFg\nkNJs5UxL3b17NyaTifHxcaqqqmQbR2V+VMEYgBw6dIiZmRliY2PZtm2bbOOIX+zExERFuG6KkSpx\n904JiDvGaWlphIWF+Xk2S8vVq1cxm83odDo2bNjg7+nIjtvtpq6uzqvP4mxzjuUkGue2ezhxAgIl\neCAIAi6XC6fTicPh8IpqOBwOnE4nLpcroFLJ5grue2qn0dMDP/gB/NM/QUaGJwwcYFHIO7XOMBqN\nbNu2zatPo1KiUrcjPT2dmJgY3G634gxwNBqNFGXs6OhQTGRJzILq6enB7Xb7eTaLR8xSk1MwGo1G\n7rvPY+6lpqX6Hr2/J6ByM2I66pve9Cb0enneotmNVpWQjmq326X0WqW4o5rNZsnBVmxkrBTmGt0o\nTQzPR2NjI4ODg2i1WkpLS+dtnSGKxqqqKiYnJ6mqqmL79u2KMKSazZpXf8DqiPfQNe3JbLDZ4OTJ\nRTSaXwCCIGC1WqV/NpvN67Z4zGaz3VIMHpijzEJCQggNDcVoNBIaGir9HBYW5nVMzg05i8UjuGdz\nT3/Hp58Gp/PG7b4+CCBjnIX2WQwLC2Pbtm2cOHECi8VCTU0NO3bskO1aGghoNBo2bdrEsWPHJAMc\nJVzXRVJSUmhubsZisXDt2jVF1PKvWLECg8GAw+FgYGAg6E36kpOTuXDhAmazmZmZGdnM6x566CF+\n//vf8/LLL/Od73xHljFU5ke5Z9Ag5uD1gp4HH3xQtjGmpqak1BUlXFh6e3sRBIHw8HBiY2Pv/IAg\nQGzInJiYSGRk5B3uHVwsN6Obq1evSu9nQUGBlI40H8tBNGr+44fsmw7jWT4sHTt4cOkEoyAITE5O\nMjExwfj4uPT/UpuC2O127Hb7be+j0WiIjIyU0kCjo6OJjo5eMhF58qRHcIukp8Ndf6WmpuBHP/I+\n9pnPBEzvxYWKRZHw8HC2bt3K8ePHmZiY4OzZs2zZskURxm63QjTA6ezs5MKFC4rJHAKPE2dGRgYt\nLS1cuXKFzMzMoH8vdTodKSkpdHZ20t3dHfSCMTw8nKioKMxmM/39/bKJenFdfOnSJTo7OxXZZixQ\nUQVjgNHd3S2lIe6WsfeVGF0U66eCHbEOIDU1NegvJOBZIIkptpmZmX6ezdIyMTGxrIxuhoeHpVrN\nNWvWsHr16js+RvGisaCAvS0HvQTjgQPw1FN3/1SCIDA1NcXY2JiXQLyVONTr9VLkb250ULyt1+ul\nFg12u13axNu7dy8GgwG3243b7b4pSjn3tt1uRxAEzGYzZrOZrq4uwFtERkdHS2LyXr4Lcw2D9u69\nWed98pOf5CMf+QjA/JtPv/iFx65WJD4e/vZv73oucnC3YlEkKiqKLVu2UFNTQ09PD1FRUVKbBqWy\nbt06ent7mZmZoaOjQ1GZKenp6bS2tjI9Pc3Q0JAiat5TU1Pp7Oykv78fh8MR9M7uycnJsgvGpKQk\n1q9fT1NTE0ePHuUDH/iALOOo3IwqGAOMo0ePAp40PTl3nJSUjjozM8PIyAigHHfUrq4uXC4XYWFh\niniPZtPc3Ax4UnKUcNG/HTMzM9TV1SEIgnShWyiKFo1btrD3N9/2OnT6tKdkbiEJAm63m+HhYfr7\n+xkYGGBmZuam+8wnyqKiohaVmhgSEuLlVBwREXHHeU5NTXlFOUUxK4pIEYPBQFJSEsnJyVK62kJY\nSP2i0Wi89cagywXf+573sX/4BwiAfqj3KhZFkpOTyc/Pp7m5mZaWFiIjI4M+knM7jEYja9eupamp\niba2NtLT04NehIgYjUZWrVrFtWvX6OjoUMS1Iz4+nrCwMCwWC319fQvaTAxkkpOTaWtrY3h4WFYB\nvGvXLpqamjhy5IgqGH2IKhgDjCNHjgCeL4Rc2Gw2ycpZCWJEjC5GR0crInVTEAQpfVEJqTezGR4e\nZnBwEPDshisZ0RHVbrdjMpkoLi6+6/dSsaKxuJgVDLKBCzSyEQBBgCNH4G1vm/8hYp1yf38/g4OD\nOGfX2+GJKMmV9nmvaLVaoqKiiIqKko6JEdHx8XEvIelwOOjp6aGnpweNRkN8fDzJyckkJyffUpiO\njcGZM97H5rYsuSMvvwyXL9+4HRICjz12l0+y9CxWLIpkZ2djNpvp7u7mzJkzUvsNpZKZmcmVK1ew\nWCxcunRJUefZrKwsrl27Rn9/P9PT03fcsAl0NBoNq1at4tKlS1y7di3oBWNMTAxGoxGbzcbQ0BAp\nKSmyjLNr1y6eeeYZab2s4htUwRhg+EIwiuYw4eHhQS+wBEGQBKNSzG6GhoaYnp5Gq9UqKj9fEASa\nmpoATyQ46EXPbRAEgfr6esxmM3q9nrKysnvebVWkaCwqAo2GfcIBSTCCJ1o2WzBaLBZ6enro7+9n\ndHTUy4xGr9d7ReSCpUepGPmMjIyUzlkul4uRkRH6+vro7+/HarUyPDzM8PAwjY2NREZGkpycTEpK\nilc7jCNHYLbB4saNcJvy2PmZaxzx8MPg543EpRKL4Pl7FxYWSiK9pqaGysrKoPm83C06nY68vDwa\nGhq4fPkymZmZXm1VgpmYmBhiY2MZGxvj6tWrd5WxEaikpaVx6dIlhoeHsVgsQW0Ap9FoSE5OltJs\n5RKMO3fuBDw+D2odo+9QdvFQkDG7frGyslK2cWanowZ79MpsNjM5OQnAqlWr/DybpeHq1auA5/Uo\naVHT19fH+Pg4Go2GvLw8f09HVlpbW+nr6wOgpKQEk8m0qOdTXMuNqCjIzWUv3gV4Bw960jj7+vo4\ndeoUr7/+Ok1NTYyMjCAIAmFhYWRmZlJeXs6DDz5ISUkJaWlpQf890el0JCUlUVBQwH333ceuXbvI\ny8uTNgUmJydpb2/n6NGjHDlyRGovMF/94l1RVwfHj3sf++xn7/2FLAFLKRZFdDodpaWlGI1GKU1c\nCa0MbkVaWhqRkZG4XC5aW1v9PZ0lJSMjA/CUbSjhPZydgdDT0+Pn2SweMWttYGBAtvdndnmHWMal\nIj+qYAwgxOiinPWLbreboaEhQBnpqKL4TUhIUMQuqsVikV6TeGFUAm63W2qjkZGREfSpRLejt7dX\nWqRt2LBhyWptFCcaS0qo5Cg6bqSWtrbCc88do7a2VsqEiIqKIi8vj127drF//342bdpEUlKSYs2S\nNBoN0dHR5ObmsmvXLu677z4KCgqkz9HExATnz5/ntdde489/tno99q77L86NLu7fD5s2LWL2i0MO\nsSgSFhZGaWkpWq1WitwqFY1GI6WidnZ2MjU15ecZLR2rVq3CYDBgt9ulTblgR9zslrOHoa8Q3Xnt\ndjvjs420lhgxC+/w4cOyjaHijTKvuEGKL9JRJyYmcDqdaLVa4uLiZBvHVyjJvAc8u6aCIBAVFaWY\n9iAA165dY2pqCp1OR25urr+nIxsTExPU19cDnl3+pXaKU5RoLC4mkinKqPE6XFcXhU6nIz09nZ07\nd7Jr1y5yc3OJjo4O+oyIeyEsLIyMjAzKy8u57777pL6lAwMGrl69sUmm1wvs2HEXO/pdXfDCC97H\nPve5JZr13SOnWBSJi4ujsLAQ8KSzidkcSiQ5OZm4uDgEQeDixYv+ns6SodPppFRupbx/4vpldHT0\njm16Ah2dTietLcU+0nIgrpPVOkbfoQrGAMIXglH8AsfFxfndEGKxWCwWaQdLCYJREAQ6OzsBTxRO\nKYtjl8slLViys7MV0cZlPmw2GzU1NbhcLmJjYykoKJDlPVSCaBQEgdHrzQL34W3z2dm5lgceeIDC\nwkJiY2MV8z1YCsLCwsjLy2P//v1MTW31+l1Ozig1NQe4fPnywvpNPv20xyFVJD8f7r9/iWe8MHwh\nFkXS0tKkdhPnz5+XdVHrTzQaDfn5+YAn1VHOaI+vEbNvhoeHpZKUYCYyMpLw8HAEQZAyK4KZhIQE\nQF7BKNYxXr16VTEbB4GOKhgDhGvXrnH5ulOdLwSj+IUOZsQTa2RkpCJSHAcHB7FYLOh0OsW0BwHP\nTr7VaiUkJIQ1d91RPDhwu93U1dVhsVgIDQ2ltLRU1g2ZYBaNo6OjVFVVcXJ6GrdWe5NgPHrUhCCo\nfmy3Q6PRcOSIt+lRQcEIFouFxsZGDh06xLVr17xMgryYnIQf/9j72Gc/e3MDRx/gS7Eokp+fT1JS\nEoIgUFdXN29bFiUQHx/PiusuSGJJgBKIjIyUPiPiJmswI5rFgDLSUsX15ejoqFrHqCBUwRggiB/4\nvLw82aJlbrdb6leoBMGotHRUsZl9SkqKYnpnuVwuycgpJydHMa9rLm1tbYyMjKDVaikrK/NJPW2w\niUaz2UxNTQ3Hjx9nZGQEd2gotuxsyqkmnhs70ePjoF7/b8/0NLz2mvexz342k/z8fAwGAzMzM9TX\n13PkyBH6+/tvFo7nznmLw8REeN/75J/4HPwhFsGzQC8uLsZkMmG326mvr7+1uA5yxFrGwcFBRUUZ\nRWfM7u5uRZjfiMJ+cHAw6F9PTEwMOp0Ol8vlkzpGNS3VN6iCMUDwRTrq+Pg4LpcLnU7nZc0ejDid\nTkWZ9zgcDkkAK6U9CHhEsM1mIyQkRFEmPrOZmJigra0N8Jjc+PK7FQyiURQvhw8flj7jKSkp7N69\nm7CKCvS4eIg/eT3m97/3x0yDh9deA4vlxu30dCgpMZCTk8P+/fvJyclBp9NJIr2qqkrqvQvAjh3Q\n3Q3//u+QlQUf/zj42M7fX2JRxGAwUFJSglarZWRkROp9qzSio6MlMdLe3u7n2SwdK1euRKfTYbPZ\nFJFWnJCQgF6vx+l0Bv3rme2RodYxKgdVMAYIvhCMYnQxNjY26OsXh4aGcLvdhISEKMIcpr+/H5fL\nRWhoqCKiv+CJaIvRxaysLPR65aUZut1uKTqRkJDgF1EcqKLRbrfT2NjIwYMHpeh5QkICO3fupKSk\nxNMDtqQEgLfjrRD/8Afv/oIq3rz0kvftt73tRsDQYDCQn5/P3r17pVrokZERjh8/Tk1NDWaz2XNH\nkwk++Uloa4PHH/fp/P0tFkWioqIkE67m5mamp6d9PgdfkJOTA3gcnJXimKrX6yU3ebEXczCj1Wol\nJ2QlpaWqdYzKQRWMAcDs+kU5+y8qqX5RPKGuWLFCEaYY4oI6NTVVEa8HPIuT6elpdDodmZmZ/p6O\nLLS1tWE2m9HpdGzevNlv710giUZBELh27RoHDngMWNxuN9HR0ZSXl7N9+3bvDZ7iYgD2pbZi0t8I\nmfX1QU3N3GdWAbDb4eWXvY+97W033y8sLIyCggL27NkjNdDu7+/n8OHDNDU13TDG0el8Gl0MFLEo\nkp2dTUxMDC6Xi4aGBkWmpsbHx0t/Y3ETTwmItf69vb04nc473DvwmV3HGOyfQ7WOUXmogjEAUOsX\n747ZTmJKSEe1Wq1Seq1SzG4EQZDSnzIyMoK+sfp8zE1FDQ8P9+t8AkE0Wq1Wamtrqa+vx+FwEBER\nQXFxMZWVlfP3oywogL4+Qq+18zdv9xYtalrq/Bw+DLPf1sRE2L791vc3mUyUlJSwc+dO6dx/6dIl\njhw54p2m6gMCTSyCJ7KzefNmKTX1ypUrfp2PXIhRxq6uLiyz85mDmMTERIxGIy6XSxFROXED3GKx\nBL37q1rHqDxUwRgAiI1H1frFhTE2NobNZvNK4Qhmenp6AI/zW1RUlJ9nszQMDg5iNpvRarWKdEad\nnYqamJgoGTD4G3+JRjGqeOjQIWnhlp2dze7du1m1atWtI696PVzf9Hn7271/9dJLEOSb7LIwNx31\nrW/1BAnvRGxsLNu2baOoqAiDwcDU1BTHjx/3jjbKSCCKRZHZqaktLS2KSducTVJSEtHR0QiCIGU0\nBTtarVZqeq+EtNSQkBCp9q+vr8/Ps1kcWq1W+n7LmZa6e/du4MY6WkU+VMEYAIg7I+IHXw7EL6wS\n6hfFBalYJB7siBc6JaWjipG3tLQ0wnxspuELxFRUvV5PYWFhQL1vvhaNc6OKJpOJiooK1q9ff1fn\nmgcfhNmB6MuX4cIFGSYcxLhcnvrO2cyXjjovnZ1onn+etORkdu/eLRmhiNHGsbGxJZ3rbAJZLIrM\nTk09e/Zs0KcEzkWj0UhRxqtXrwZ9g3gRMStncHAQm83m59ksHiW11/CFYBTrGDs7O9U6RplRBaOf\n6e3tlVJgxA++HCglHRWU1U5jcnJSStdQSjrqyMiIlOomNshWEuPj45IgXr9+vd9TUefDF6LxVlHF\nXbt2Sbvkd0NUFOzf731sbjRtuXPqFMzu6x0VBXv2LPDB3/++p3VGZiZhTz9N2dq1bN68WYo2Hjt2\nTJZoYzCIRVgeqakpKSlERETgcrkU8/piYmKIiIhAEAQpWyeYEdc14+PjWK1WP89mcfiijjExMVGq\nYzx27JgsY6h4UAWjnzl9+jTg6Smk1i/emenpaSm3XwmCUYwuxsfHB6TwuBdEU4VVq1ZhMpn8PJul\nxe12S8YYgZSKOh9yikaHw0FdXZ1XreK9RBXnMjdaptYxejP37/GmN4HRuIAHTkzAT3/q+bmnBx5/\nHM0f/8jq1atvijYePXr0hpPqIgkWsSii9NTU2VHGK1eu+CQVWW40Go3UikoJaakmk0m6bg7M3h0K\nQmbXMcqZwVBWVgbAmTNnZBtDRRWMfkf8gG/ZskW2MWbXLwZ7CwrxBBodHR30qY6CIHiloyqB6elp\nKdqkxNrF1tbWgE1FnQ85RKMYjRJrbNasWcPu3bvvKao4l4cesKPV3kgFPH/ek5qq4qnnnCsY59Z9\n3pKf/hRmm2isWAEPPwx43FTLysrYvHkzer2eyclJjh07tuiUuGATiyJKd01NTU3FaDTicDgUIbAA\nqY5xbGxMEa1RlJKW6qs6RnH9rApGeVEFo5/xhWAUv6hxcXFotcH9louvRQlmN2NjY8zMzKDVaiXb\n+2BHrCGIjY0N+s2JuYyPj0vOr4GaijofSykaBwcHOXbsGFNTU4SEhLB9+3Y2bNiw+Lro730PSktJ\nzIpkp/uI16/UtFQP587B7BKd0FB44IEFPNBu96SjzuYTn/AKTWo0GlavXs2ePXsksVRTU0NbW9s9\nCaZgFYvgWeQWFRWh1WoZHR1VTOqmiE6nkzIjOjo6FCGITSaTdL1RgggW1zcjIyNB//6I33sxy00O\nxPVzQ0ODIqLmgUpwqwcFUF9fD8grGMUvarBcsG+FIAiKSa0FT/0qeC4OSmg74XQ66ezsBFBc38Vg\nSkWdj8WKRtFZsbq6GofDQVRUFJWVlUv3PezshLo6sNt5G94KUU1L9TD373DffbCgjO+f/Qyu93kF\nPErzYx+b965hYWHs2LFDynhoaWnhzJkzd9XjLpjFokhkZCR5eXmAMlNTMzIy0Gg0TExMyJoq6Etm\n92QMdmJjY9FoNDgcDr/1010qfFHHuGnTJnQ6HTMzM7S2tsoyhooqGP1KX1+flNYll2BUUv2i2WzG\nbrej0WiWJP3NnwiCIKWbrFy50s+zWRp6enpwOBwYjUYpRUgpdHR0BFUq6nzcq2gUXSMbGxsBz+e1\noqJiaSOsJSXSj3MFY3U1BLnD/JIwN9K6oHRUiwWefNL72Ec+Are5Fuh0OoqKisjPzwc83+sTJ04s\nqHefEsSiSHZ2NrGxsbhcLumzrxTCwsKk645SIqhiGqfZbGZmZsbPs1kcer1eipjKGZnzBb6oYwwL\nC5OMb9S0VPlQBaMfET/Yq1evlk3MTU5O4nK50Gq1Qd9/UUxHjYmJCfp2GlNTU1KthWg4Eex0dHQA\nHgOnYE99no3D4ZBcUXNzc4MmFXU+7lY0Wq1Wqqqq6OrqAjyvv6SkZOm/f8XF0o9pdFOsq/f69dxW\nEsuNtjaYrVl0OnjLWxbwwP/4D5gdcQkNhS9+8Y4PE81RysrK0Ov1TExMcPToUcn9eD6UJBbB8zfY\ntGkT4KmdD/aF+1zELJDe3l5FtKMIDw8nOjoaCP7aP7ixwS9n7Z8v0Gq1kviVM5qt1jHKj3JWdUGI\nrwxvwJNiE+z9F5USKYUbF7S4uDiMC7I5DGzGxsYk4RFs6Zp34tKlS9jtdkJDQxWRartQ0SiKhLGx\nMXQ6HSUlJeTl5ckTXc3OhuuLPYC3u17w+vVyT0udG13ctQvumGQxNQXf+Ib3sU98Au4ioyE5OZmK\nigoiIiKw2WxUVVVxbXZ663WUJhZFYmJipGyJ5ubmoK8nm018fDwmkwlBEKQNoWBHKWYxcGOdo4Q6\nRjFYIWd6rSoY5UcVjH5E/GAXFRXJNob4BQ326KIgCNJOm5IEoxJagwBS7WJycnJQR+DmYrVauXzd\npjMvLy/oN11E7iQaR0dHqaqqwmq1EhYWRkVFhbzGTFotzNo4m5uWeuQI3Ca4pXjmCsa57Ufm5d//\nHWZHJ0wmePzxux47KiqKnTt3kpCQgNvtpr6+XsomAOWKRRFxk2R0dFQRQkREo9GQkZEBeMzKgl2U\nwI1sneHhYRwOh59nsziUVMcorj/FAIYciOto1fhGPlTB6Ed8GWEMdsFoNptxOByKqF+02WxSapcS\nBONse3alRRfb2tpwuVyYTCap15dSuJVoHBkZ8TK32blzp5TqJSuz0lLzaGVd3I0eZE4nvPKK/FPw\nF11dXRw7dozf/va3/PznP+fll1+WmpD39EBNjff93/rWOzzh+Dh8+9vexz772dvWLt6OkJAQysvL\npe/A+fPnuXTpkuLFIngcOMXzWktLiyKElUhaWhparZaZmRmGhob8PZ1FExMTQ2hoKIIgMDg46O/p\nLAq9Xi+tdYI9HVpcf05NTckm5AsKCtBqtUxPT0slJCpLiyoY/UR/f7/k5iWn4Y3YgNknCz4ZEaOL\nsbGxQV+/KPaSjIiIUERj+56eHlwuF2FhYYqpxwRPT0mxTUh+fr6i6jJF5orG48ePc/LkSZxOJzEx\nMWzfvp3Q0FDfTGZOpsXbI9/wuq209hrnzp3jgx/8IOnp6aSnp1NZWcl73vMePvShD/HQQw+RmprK\njh07+Ld/825EuXUr3NFT6t/+zSMaRWJi4HOfW9R8tVotmzdvlqJSTU1NHDp0SNFiUSQ3NxedTsfk\n5OS8KbnBSkhIiJRyK2aJBDMajUa6BikhGuyLHoa+IDw8XFq3iWtSOcYQjbrE7gMqS4vyVkBBghhd\nTE1Nla2n4NTUFC6XC41GQ1RUlCxj+AqltAYB73TUYHTbnIsYXUxLS1PE6xERowmxsbGKiATfClE0\nhoWF4XK5cLvdREVFsW3bNt+2e5kjGN828lOv23/9KyigJ7dEdXU1v/zlL6X6sXXr1vG///f/5pFH\nHmHr1q0AVFVV8d3vXvV63B3TUYeGPH0tZ/P5z3tE4yIRjWBE0Wi1WtFoNIoWiwChoaGsWbMGgIsX\nLyoq5W316tWA57oU7GmccCNrZ2BgQLY2Dr5itvFNMEe2NRqNT9JS1TpGeVEFo5/wZTpqVFRUUNde\nKal+0eVySakyShAhMzMzkpgX+2ApgYmJCSklMD8/X1FCeD6mpqaw2+3S7ZmZGd9b069ZA5GR0s2i\nqaOsTrnR/89q9YhGJREWFsZnP/tZLl26RHNzM7/73e/4+c9/TnV1NSdPniQxMQ+o9HrMHQXjsWOe\nP5ZIYiJ86lNLNmen0+nldigIgmJ6+d2O7OxsQkJCsFgsUuaBEoiPjycsLAy3262IHoaJiYnodDoc\nDsdtXX2DgdjYWLRaLU6nU61jXACqYJQXVTD6CbV+ceEoqX5xeHgYl8uFwWAI+tcC/z975x0e11Xm\n/8+dotGMepclS5bkKle5xEWOe0iDlA0EQgg9S1jIFmAT2g9YNrCUXWBZFgidhN0shBIgkF5c4t67\nLcsqlm31NmrT7++Pyb2ekWVbtubOzDm+n+fJE0tT7jmaO/ee73nf9/teiC5mZ2eTEbHYF51jx44B\nYRMF0TcprkRvby87duwgGAySnZ1Neno6gUBg3H0aY4bFAjU1+o8K8DcLm6Ke8vvfx284RrNs2TJO\nnjzJt7/9bT16FcmKFSt473t/B1xIwZ87F6ZPv8Ibv/3tcPIkvP/94b/pZz8bNryJAVrNYn9/PxaL\nRTdCOnr0qDT9/C6F3W5n+pt//Lq6OimicRCO/mhpqdr1XGSsVisFBQWA+Gmpkf0YRU9L1cqi4iEY\n9+/fL3x0ORkxBWOC0HKs4yEYzfrF5EG7gRUVFQlfE6eqql7PI1N0saurS48CV1dXJ3g0xtLf38/2\n7dv1msXa2lpuvPHGcfdpjDmj6xhzN0b9/Mc/gkElMHFn4cKFVzRS2rdvTtTP43JHBaiqgl/+Mty8\n8aMfvbYBjmK0wU1tbS1LlizR01MPHz4sRR3c5aisrMTpdOLz+aivr0/0cGKGdh52dXUxMjKS4NFM\nHJnaa2ip3jIZ3wQCgcs/+RqpqanBYrEwMDDAqVOnDDnG9YzYK1ZB6ejo0Hfy4mF4I3qEUZb6RVVV\ndcMbGcxh+vv7GRwcjNqhFh1VVTl69CgQFsGib7ZcDq/Xy86dO3U31BUrVmC328fdp9EQRgnGGzuf\nIVJTjYzIFWW8HE1N4XYikbznPVf5JtXV4HROeCyXckPVahq1OriDBw8KHwm5HFarlVmzZgFw+vRp\nPJGpvwKTmZmp+xxoqfgio91fh4aGGBwcTPBoJoYsdYxpaWn6hr9R9xOXy6Vv8pppqbHHFIwJQDuR\nS0tLDRMOshjeqKqqC0bRUwOHhob03VujjI7iibbpUVBQED8nTYNpbW2lr68PRVH0haGMhEIhdu/e\nzcjICKmpqaxYsSLK4CZhonGUYLTs38t73xv9lCeeMH4YycD//E/0z1lZJ5g5M/7juFLrDEVRqKmp\noaioCFVV2b17d/zrX+NIWVkZGRkZBINBTp48mejhxAwtS0QGF9jU1FR9s0/0diG5ublS1DGaxjfi\nYwrGBBDP+sWMjAyhDW+Gh4d1Mw4tl19UNOGblZUVX/dJA1BVVReMsqSjqqrK8ePHAaioqCAtLS3B\nIzIGVVU5dOgQ3d3dWCwWli1bNqbgT4honDUrbH5zxx3wxS/Cj37E+x6IrkXZtAki+sZLiarCk09G\n/+7WW+OfXjfePouKorB48WLS09Px+Xzs3LnTsLSzRKMoih7FaG5uZkgS617tOu52uw1rfRBPtA1m\n0VM5rVarvulvpNCKB/GsYzQFY+wxBWMCOHToEBCuYTEKWQxvtHmkpaVht9sTO5gJoqVqiZ5aC+Fd\nW6/Xi9VqZdKkSYkeTkxobW1lcHAQq9XKzESEcuJEY2OjXmu2cOHCy14j4i4abTaor4c//xm+/GW4\n6y5mVltYtiz6ab/6lXFDSAa2b4foEhwv3/rWsks9Hb72NdiyJaZjGK9Y1LDb7Sxbtgy73Y7b7Wbf\nvn1Cp9BdjuLiYnJyclBVVZpaRqfTqYssGcxvZEnlhPg4jMYDbR5G3kO0dfXBgweF/9yTDVMwJoC6\nujoAQ1PetC+kLIJR9HnI1BoELtS5TJo0SXgjIg3N5bG8vByHw5Hg0RhDZ2cnR44cAWD69Onjig4n\ntKbxTd7//uifn3wyHIWTlR//2Bv186pV/ZSWXqIW8fBh+PznYfVquPVW2L17wse/WrGokZ6ezpIl\nS4DwBoxMKZuRKIqiO6a2tLRI45iqXQ/Onj0r/GJbO1+9Xq/wdYyyCcaBgQHDMhC0dXVfX5/w0eVk\nwxSMcSYUCunuTTNmzDDkGKqq6gs60U07ZBG+Q0NDukGC6BFGVVV19znNVl90+vv79ZtLVVVVgkdj\nDENDQ+zevRtVVSkuLr4qB9hEi8Z3vQsis7hPn4Zt2+J2+LjS0zPC//yPL+p3jzxymZrnL33pgnp+\n8UV48MEJqelrFYsahYWFzJ07F4CTJ09K0dtvLIqLi3G5XASDQWncYSdNmoSiKIyMjAiflmq32/X1\nj+hGTJFCS+R2EZHGN0adX/n5+frfSwvOmMQGUzDGmfPnz+uGANOv2FDr2hgYGNANb0QWjKqqShNh\nlKl+sbe3F5/Ph8Vi0ftdic7p06eBsLteeox61iUTfr9fd0TNyMhg0aJFKIpyVe+RSNGYmwt33hn9\nOxnNb/x+Pzfd9F2CwQs9TQsKwoHDMdmzB555Jvp3jz0GV/nZRh5/ImJRo6qqSndO3bdvn9BmHZdC\nURQqKyuBcJq36BE5gJSUFP3zlqElhXZ/Ej3SlJGRgcViiXK/F5HINalR0VJFUfRgjCkYY4spGOOM\ndgJPmjTJsEbn2gVFBsMbLdVHZOELSJWOqi0kCgoKpEhH9Xq9eoqtrNHFQ4cOMTAwEFVndi0kUjSO\nTkv9zW/CbTZkIRgM8sADD7B//7yo37/nPXDJj+sLX4j++YYbwoZB10CsxCKgt9vIyckhGAyya9cu\nKU1wpkyZgtVqZXh4mNbW1kQPJybI2MNQ9DpGi8WiG9+IvvkSjzpGUzAagykY44x2AhuVjgro+fpG\nCdJ4oV1QRDe8iaxfFD0dFS4sJLSFheg0NTURCoVIT0+XJmIayfnz53UTiyVLlkzY/TVuojEYDNfn\n/fjHcPgwt9wSjrZpuN1hbxwZUFWVBx98kKef3gTcEvXY+953iRe98Qa88EL0777ylWuKLsZSLGpY\nrVaWLl2Kw+FgeHiYY8eOTej9khG73a5HUrUaaNHRWn319fUJ32fSrGNMPrR1qZGfhykYjcEUjHEm\nnoJR9LYAsqSjylS/ODQ0xMDAAIBhPUTjSSgUovHNHg1VVVVXnaaZ7Hi9Xt2VuaKiImb9Pw0Xjd/6\nFuTkwPz58NBD8Mwz2O0XN66XJS314x//OL/85S+B9wAXovbz5kFNzRgvUFX47Gejf7d6NbzlLVd9\nbCPEokZqairz588HwmmbovfEGwstLbW7u1v46A+EjYu0tHzRo4x2u11fP8hSxyi6YNTWpaZgFA9T\nMMaZeApG0WuxtAujLOmoMtQvaguI7OxsnM5LuDYKRFtbG16vF5vNRllZWaKHE3MOHz6M1+vF5XIx\nZ86cmL63oaIxOxve3JgAYMcO4OK01BdfBNEzAR955BF++MMfApCZ+fdRj73//ZcIGP7mN+EIYyTX\nULtopFjUKCkpobS0FIADBw5Il5qakZGhb8Q0NTUldjAxQsseaW9vT/BIJo4s/Ri1dZDb7Rba+EZb\nl/p8Pr3HdqzR1tenTp0S+m+VbJiCMc4YLRhVVZVCMMpoeCNT/aIs6aiau+HkyZOlqMeM5Pz583pt\n5sKFCw2Zn2Gicfny6J937IBQiJqacNBRIxSC//3fiR8uUXz5y1/mP/7jPwC48caHcbsr9Mes1osj\nqgAMDcE//3P0726/PRxhvAriIRY15s2bp6emHj161JBjJJIpU6YA4XYUMghi7fre0dEh/HxkqWPM\nzMzUjW8GIjfTBMPhcOj3oqGhIUOOoRlKejweKXqKJgumYIwjfr9fr3MwSjB6vV6CwSAgdkrqyMiI\nbngji2AUPR3V7/frc5FBMA4PD9PR0QGE0zVlwuv1cvDgQSCcMmfkZoUhorG6Gt40eQCgt1fvZD86\nyvjEE2L2ZPzVr37Fv/zLvwDaYvCDUY9XVzfzxz8+zuOPh//72c9+Fn7ga1+DNzcCgLAjzne+c1XH\njqdYhPA5oqWmNjU1SZeaWlxcjMPhIBAISNFGJDc3l5SUFEKhkPCfVWQdo1ECJR5EGt+InJaqKIrh\naanp6el6yy8zLTV2mIIxjjQ2NhIMBrFYLIa5MWpfwJSUFKHTH7ULouiGN16vl5E3rRxzcnISPJqJ\n0d7ejqqqOJ1O/cYlMmfOnAHCGxKipz2P5tChQ/h8PlwuF7Nnzzb8eDEXjRYLLFsW/bs301Lvvz8c\nfdM4cgQOHLj2QyWKyEib2z3M5s2Tox4/cuRR/u7v/k7/7x//8R/DDSj//d+j3+gTn4Cr2ICMt1jU\niExN3b9/vzTN7iG8mNdS2mXoyagoil6jLnpaqt1u141WRBZaIE8do5b9Fo86Rq3vucnEMQVjHNF2\nOiorKw0TczKko4I89YvaPFJTU0lNTU3sYCaIVotZWFgovDmMqqr6wk5LJ5OF8+fP61EOo1JRxyLm\nonHFiuifN28GoLgYbok2EhXS/Gb58uU89NBDPPTQQ9xyy38CFwyJUlKG+fCHC/THH3roIR588EH4\n1Kcgsu5n0iT4f/9v3MdMlFjUmD9/Pg6Hg5GREelcU7XrSE9Pj9C98jQ0wSh6hBEwvPdfvJBlHtr6\n1MiIr2l8E3vkKtpJcuJheKN9AUUXjNpCU/R0VFnqMEGuXpLt7e14PB6sVqse9ZABv9+vu6IanYo6\nFppo3Lp1KwMDA2zdupWVK1de28bPqlXRP//1r+GiRYuF978fnnvuwkNPPRUOvImUjHD33Xdz9913\nA/COd0Q/9oEPuPjRj/47+pcvvgi33hr9u29+E8bZPinRYhHCmS8LFixg165dNDU1MXnyZOFT9TXS\n09PJz8+nq6uL5uZm5s2bd+UXJTHatWN4eJjh4WFcLleCR3TtZGdnc/bsWeFdbLV1hGZ8Y7GIGfOJ\nZ4TRFIyxQ8yzTVDMlhrjRyvqFj31UZZI6cjIiL4ZIYNgbGlpAaC0tFTolOfRnD59Gq/XS2pqalxS\nUcciZpHG1auj6xjb22HnTgDuvDNspKrR2XlxS8LxohmFtba20tjYyPHjx9m/fz/bt29n8+bNPP/8\n8/pzt23bxtatW9m7dy9Hjx7l9OnTnD17lr6+vmt24+vpgWefjf7d6DpNAEpLYc2aCz+vWHEJV5yL\nSQaxqDFp0iS9vujYsWNCG5GMJtL8RnR3RofDoadyytSSQuTzTfs8QqEQw8PDCR7NtRNZw2jU52EK\nxthjRhjjiNlSY3wEAgG97k/keYA8kVJtwZCeni58am0wGNTrciZPnnyFZ4uDx+Ohvr4egFmzZiXU\n9TUmkcaUFLjttnALCY0//QlWrCA1Fd71LvjRjy489JOfwB13XPltfT4fHR0d9PX10d/fT19f37id\nIC8nfBVFITMzk+zsbLKzsykoKBjXxt2vfhWdZTpt2sXZuADMnQuvvw5PPw2PPgrf+9642mgkk1jU\nqK6uprW1lZ6eHtrb26Uw0YKwGLZarfh8Pnp6eoTfXMvLy2NgYIDu7m7Ky8sTPZxrRrvuBAIBhoaG\nhF1XWK1WXC4Xw8PDDA4OCjsPbdzBYBCPx2NIiy5tnd3Y2IjP5xPa0yNZMAVjHDFaMIZCISlSUrU5\nWCwWodNgIg1vRBeMMrUG6erqIhgMYrfbE75wjiV1dXUEg0HS09OToqdkTETjnXdeLBi//nUAPvCB\naMH4l79AUxOMZXg7ODhIW1sbbW1tl+zHlp6ejtPpxOFw6DXHKSkpDA4O6tfuBQsWoKoqHo8Hr9eL\nx+PB4/EwMDBAKBSiv7+f/v5+vT42PT2d4uJiJk2aRE5OzkW1v6EQ/OAH0eO4ZO9FCD/wrnfBPfeM\nK/82GcUihP8uU6ZMoampiWPHjlFUVCR8XTSEF/QFBQX6uSb69bKgoICmpibhI4w2m4309HQGBwfp\n6+sTen2Unp7O8PCw0I6vdrsdh8OhO9caIRgrKyuxWq0Eg0EaGxuZOXNmzI9xvWEKxjgxODio90Qz\nSjCOjIzo4X2RU1K1C2FaWprQiwgtHVVbgIqMtmBIhsXmRNF6SRYVFQlbAzKaoaEhvWl4dXV10sxr\nwqLx9tvBZgMtAnjiBNTVwYwZLFsGNTUXHFJVFR5/XNeT+Hw+WlpaaG5uvqhvmdPpJD8/n6ysLN0l\n91IRWZ/PpwvGkpKSMXeqtd5oWtSyp6eH/v5+BgcHqa+vp76+HofDQVlZGVOmTNEXrK++Gp6Oht0O\nDz44jr+LwGJRY+bMmbS0tDAwMEBLS4vQEaxIiouLdcE4d+7cRA9nQmjniyx1jIODg/T39wudWZKe\nnk5HR4eh9X/xID09Ha/Xy+DgoCEbKykpKVRWVlJfX09dXZ0pGGOAKRjjhJYqlpqaatjFSruAOJ1O\nrJG+84IhSx2mLIY3MtUvqqoaJRhl4cSJE6iqSk5ODpMmTUr0cKKYkGjMzg7X7b366oXf/fa38PnP\noyjw8Y/D3/7thYd++lP45CfdnDt3+qI6spycHIqLiykuLiYjIyOmm1EWi4WsrKyoOY2MjNDe3k5b\nWxudnZ14vV5dPBYUFDB16lS+//1C4MI43v72sAvsREl2sQjhe2FVVRWnTp3ixIkTlJaWCn3f0tCu\nK0NDQwwMDOh1ZyKi1TEODAzQ1dUltKjXjG9Edxg1uodhvEhLS6O7u9tw4xtNMJpMnOTYhr4OaGxs\nBKCqqsqw3X8Z6hdBnnmY9YvJR39/Px6PJ6rPmOj09/dz9uxZAGbPnp2UUfkJGeG86SSq86Mf6RHH\n+++PNr/p7oZ/+7d6zpw5QygUIi0tjerqam6++WZWr17NjBkzyMzMjMvfyOl0UlFRwfLly7nttttY\ntGiRLto6Ozt59tmDF5ndfPzjET+EQhDRq3G8iCAWNaZPn47dbmdkZESPkItOamqq3nNX25wSGW2T\nUPS0VFmMb+LhMBoP4tFaY+rUqQA0NDQYdozrCVMwxgmtL5rmDmcEMtQvgjzzkMUhVab6Rc3sJi8v\nTxp3VK2fXWFhYVJ/RtcsGu+/H7QaF5cL3vpWePMa4XLBe98bbVjz3HOVFBYWsnz5cjZs2MCMGTMM\nqZG5Gmw2G2VlZdx4442sW7eOKVOm8OKLlYRCF4TrnDkBVq6MeNEvfwnz58Pf/R2Mc7EukliEcC1T\npJuh3+9P8Ihig2biI3rTe7hw3b9U7a8ojDa+ERVtXeTxeMZt1pWMxCNSqq23W1tbDTvG9YQpGOOE\ndsIaKRhlSeWUIcIoo+FNMi88x4v2PZTFlbGrq4uOjg6AhLXRuBquSTTm5sKnPw3f/jacOwc//CFk\nZREKhTh+/Dhz5myOevqpUznY7SuS1kglMzOT6uoaNm2aFvX71auPsHv3LjweD/T1wWc+E44yPv44\nzJhxxb4hoolFjcrKSpxOJz6fTy/dEB3t+tLd3Y3X603waCZGZB2jdk8TEc34Bi7vdpzsOJ1OPUtN\nBuE7NDRkWAsaUzDGFlMwxgnthDWyvkjryyOyYPT5fPje9JgXeR5utxsQ3/DG7/frAl504TsyMqIv\nFGQRjKdOnQLC7UFEiWRfk2j80pfgE5/Q80/7+vrYtGkTdXV1FBcPcMMNPVFP//73DRp8jPjtb6Gz\n84KYTU8PsGbNWVpbW3nttdcYeOSRcHNJjZERqK6+5PtNSCy2t4ffP0FYrVbdkKKhoUHoqIlGRkaG\nbhAjepTR4XDoEXrR6/+0e5jIglFRFCnqGLU5aK7TRqCtt03BGBtMwRgntJRUowRj5Jcu0elXE0G7\nANpsNhwOR4JHc+1ERkmTMcoxXjTha7PZhBbwcGHhlpGRIfxcAAYGBvTo4vTp0xM8mqvjWtNTtaji\n5s2bcbvd2Gw2ampq+H//Lyfqeb/+dbieMVkZ3Urjwx+28Za31IbrhBsaSPvFL6Kf8JnPwJtN4Udz\nzWKxpQWWLAm77OTlhQX5m/epeFNWVkZqaiqBQICWlpaEjCGWKIoiVVqqDEIL4lM3Fw9kqGO0Wq16\nWUg8BKPIdavJgikY44TREcZAIEAwGAQQWmhF1i+KLLRkq8PMzs4W+vOACwYUskQXtUL+/Px8MjMz\nEzyaq+dqRePIyAhbtmyhrq4OVVUpKChg/fr1TJkyhbe+VYnSUx4P/PzncZjENbB/P2zfHv27j30M\ncnNzWbtmDUv/93+xvHktBwiWlcGjj475XhOKLE6adEEgjozAf/4nVFWFw59xxmKxUPFmA82GhgYp\nFneRgjEY8XmKiJa9IHqEUQahBReic6ILXy37yijBqKWk+nw+enp6rvBskythCsY4YXQNo/aFUxRF\naMEoQ/0iyDMPWVqDBAIBOt9M8ZNBMGo9BiHsvCwq4xWNvb29bNq0SRdGNTU1rFixAuebCw6rNewN\nE8kPfwjJuE4fnS77lreESxQBrM8+S/qOHVGP77v/fprGiFKNWyxeSnzZbPD+90f/zuuFf/iHS7/G\nQCoqKrBYLAwODuqRc5HJy8vDZrMRDAaFN4yJdBgVmcgIo8ibErIIX6MFY05Ojr4eNtNSJ44pGOOA\n3+/XF6tGRRi1L5zD4RA6EiSbcY/o89AW76LUx12Kzs5OQqEQDodDt7wXmTNnzhAMBnG5XMIL4CuJ\nxpaWFt544w28Xi8ul4vVq1czZfJklCeegLlz9Vq/D38YIvfKGhuv6BMTd3p74amnon+nt9Lo6xvV\nVwP6Fy/m/PLlHDx4kEOHDunmEOMSiz5f2CjobW+7tAB873sv/l2CShocDofeo1gGG3yLxaK37hG9\nvYYmGL1er2GL+3ig3Y+DwaDQ8zAF4/iITA03BePEMQVjHGhvb9d3s4wSjJoTm8gGKyBHKmcoFNIN\niESeRyAQYGBgABA/wqgt2JLVOfNqUFWV5uZmIOwwKfp8YGzR2NfXx8mTJ9m3bx+hUIj8/HxWr15N\n5q5dsHAhfPCDcOwYPPYYAPn58K53Rb9vspnf/OIX0f4y5eVhPQfApz4FkYsaq5XMX/yCaW/WpzY2\nNrJz5048Hs+VxeJzz8G8eeH3fO65cFHnWPzP/1z8uy9+ERJ0TmnR8o6ODv0aKjLaYrWtrU3oiJYs\nxjc2m01fI4kstrR1hd/v100CRUSL/hnpJKytuc8nqD5bJkzBGAe0nY3MzEzdOS3WaDs0sghGkSNz\nw8PD+uJA5HloUR7RDW9UVdWNJ0SPxkHYqn9wcBBFUSgrK0v0cGLGaNG4ZcsWTpw4AYTTFVesWBFe\nYBw+HP5P44c/hDfbMYwK0PHCC3D6dLxmcHlCoYvNbj760XA6LS+9dHHR5Wc+gzJvHnPmzGHhwoUo\nikJHRwevvvrqpcXiiRNw++3hXpV1dRd+/+ijeu9Knc2b4etfj/7dO95xcZpqHMnKytI3p86cOZOw\nccSKwsJCFEVhZGRE33wTFbOOMXlISUnBZrMBYtcxGh1hBLO1RiwxBWMciEdLjciUVFEJBAK6pbrI\nwjcyHVXrlyQi2sIgKytL6CiWx+PRdzBF6Et3JbTo4qRJk4T+vo+Fw+GgtraWlJQUPf1yypQpzJ8/\n/8J36WMfgzcNUgAIBODznwdg6dKw8aeGql4s0hLFiy9Gi9eUlHAaLQMD8Ld/G/3k6mr4whf0H8vL\ny1m8eDGAfo1cunTphfO5ry8cTZw3D55//uKDDwzAwYMXfj50CO67LzpVtbQUfvSjhEUXNaa86V7U\n3NwsdFQOwgv7jIwMQHyhJZtTqsiCUVGUuIgto4nHHMzWGrFD3NWsQBhteANyRBgjLxoiL4Rlq18U\nPR1VW6g5nU5SUlISO5gJ4vP59NSaKZdosyA6zc3NUWlW58+f19u7AOFCxa9+NfpFTz8Nu3cDYT0Z\nyU9+Asmwxv3Wt6J/vvdeKCwEPvtZiIymKUo42hhxDfT7/Rc1ta+vryfo84UnOGNGuF5xdA9DRYGP\nfCQcbaytDf/upZfgxhuj018BnngCcnMnOMuJU1paitVqxePxmC0pkghZjG9kcxg1Mp3TaEzBKBam\nYIwD8YgwylDDqM3B4XAIHZmToQ4TLghfbYdcVGQRvhCuhQqFQrhcLgoKChI9nJhz9uxZPQ21qqrq\n0u6p990HixZFv/iRR0BVue8+iPzTDAyEA2eJZN8+ePXV6N/9wz8QTgsdXWj5iU/A8uX6j6MNbubM\nmYPFYiG4aRPeBQvCgvBN458oVq8OH/hHP3pTmRIWom99a/iPEsk//zNs2DDxicYAu91OaWkpAOfO\nnUvwaCaOLEJLa93j8Xjw+/0JHs21I0OEEeIjtoxGm4PP59MzSmKNmZIaO8RdlQuEFhEwUjCOvOmk\nILJglCFKCnK01FBVVRrBKEtrELhg3jNp0iSh04THoq+vj/379wPh6OncuXMv7Z5qscA3vxn9Bps2\nwXPP4XTC3/999EPf/W7YNDRR/Pu/R/+8Zk04fZasLFiw4MIDU6fqJj4wthvqtNJS1v7pT6z63Odw\nvSmuoygvD0dcN26EmpoLv9+1K5wDOzoK+fDDF9cyJhhtkdfe3m7YQjJeaLV//f39QqfYpqamYrVa\nAbGjc9p9eXh4WOhzS8vCElkwRmaSGRUpNU1vYocpGONAPCOMIqdyylCHCXKkpPp8Pn0XWeR5gDyC\nMRgM6v3pZDDvicTj8bBz505CoRC5ubnMnz9f7yl7SdG4YQPcckv0G33qU+Dx8LGPQaS/2PnzF7ez\niBdNTfDb30b/7pFH3vzHggXhVNqvfCWcgvqzn+kDH7N1hscDS5aQ8bOfXXwgpxO+/GU4fjyc7zp6\nQ2Hp0nAkUUNRwmms//VfbzrvJA/5+flYrVb8fr/wDbe1GvBgMCi08Y2iKPq9QOTonMvlQlEUVFUV\nWvjKEGG02Wy6eY9R84hMSRV5wyYZMAVjHDC6hlEWsxgZIoyR/Z1EFlragsButwtd9zcyMqJvpoje\nS7Krq4tgMIjdbic3CWrNYkUoFGL37t14PB6cTidLly6NSkm/rGj8xjeihdHJk/DYY+TlwYc+FH2c\n//iPhPSj5zvfgWDwws+zZ8Ntt0U8wW4Pm/Y0N4dDj1ymz2JRUTgqOYrza9YwcuBAuCXG5Zy4v/GN\nsBNqair87nfh9NckjFRbrVY95Vr0HoZWq1XP0hC9jjGy8b2oWCwW3a1e5NYtMghGMH4emmAcGRmJ\nroU3uWpMwRgHjI4wymIWI4NgjEyrEHkekWm1Iqc+ags0p9Mp9HcDontJilzjO5r6+np6enqwWq0s\nW7ZszM/pkqJxwYKLHUa/8Q3Yv59PfjKcuapx9OjYBqJG0t0NP/1p9O8eeSR6XDpvNnm/pFgEsNng\nySfhzc0odcoU9n3rW+z+xCfY19l55R10iyX8+m3b4J57Jjg7Y5GlhyHIU8do1v8lDzKY3oDxn0V+\nfr4exTTrGCeGPKuOJCUYDEbVHRlBZCqnyAtJGYx7tM/Cbrfr9R4iIkM/TIhuDSIyqqrq1xGZ0lHd\nbrducjN79uzLfk6XFI3f/Ga4JYRGMAgf+hCVk/3ce2/0e4yuJTSaH/4QIoMYJSVw//2Xfv5lxaLG\ntGnhVNIPfhDl0CGmfvjDKIpCV1cXTU1N4ee88gpcagHmdMLChROaVzzQzvOhoSHhBYosPQxlSEkF\nuer/PB6P0BsqRgtfi8WiX0vMOsaJIa66EITe3l69sLpQc6qLMTIILZCjhlGGKCnIYdwD8tQv9vf3\n4/F4UBTFsOtIvAmFQuzbtw9VVcnLy6OysvKKrxlTNEJYmUVy4AD8x39cqBV8k40b9e4bhuPxwPe+\nF/27f7yvnZS6I2M+P1Isutxu1pw/f+m+oR/5SNjxNDOTrKwsZsyYAcDxvXvxf+Qj8Ja3wOc+F8vp\nxB2Hw0FOTg4gflpqZGsNkRf3kRFGkechU4QRxI4yxkO8F72ZvdE5lpu0ybgxBaPBRBa5G+U2KYtI\nkWEeMswB5BGMsrTU0BbMeXl52O32BI8mNtTX19Pf34/VamXhwoXjTn0eUzSuXg3vfnf0E3/wAxbP\n8bBuXfSv4xVlfPJJeNOjCICMDJWHXrk33A7ksccgojVBpFgs3bmTDf/0T2R87GOwY8e4jjVjxgxK\nOzpY9YlPYP/JT8K//M53wj0XBSYyLVVkIo1vRI7OafeDQCAQ1StVNGQQjJFZTCLPIx6fhbb2Ftl0\nKhkwBaPBaCeo0+nU86hjjXbhFtmcJBgM6q6cIostGQRjpHucyILR4/Hon4csglGWdFSv10tdXR0Q\nTkW92tTnsUSj+7HHID8//IT774f9+yE1lUcfjX7t738Pp0/HYhaXJhQKm+xE8lDNTrIObQkLxS9+\nEW64AdxuXSwOtray6L/+iyVf+xqWnp5wau173wtXMhgJhbB8+9ss/vjHyTh7NvqxBx9MbD+RCaKd\n7z09PUJHUSKNb0ROS01JSdHXGSILX9nq/0SehxZhNHIDwhSMscEUjAYTj152mkOqUYI0HkRe8ERO\nSZUhPdjj8ehp1CLXMGoLs9TUVOHPKS1SKotgrKurIxgMkp6eTkVFxTW9x2jR+MbJkwx997vw7LPw\nv/+ri8dbboF58y68biwxF2v+8Ac4derCzzabyj/ufE/0k2bNwu90sm3bNgKHD7P6kUcoe+216OfU\n18MPfnDpA507BzffDI88gjKqmbo6dWrYCVXgjcSMjAzd0VL0dLLIfowio90TRHZKlaGGEeSIlGrr\n1sDo/rAxRFt/i7zJkQyYgtFgtB0NIyM1MghG7YKXkpIitFmMTHWYkT2SRESWdNRI4SuygNcYGhqi\nsbERgOrq6gkZdY0WjZuys+lftSrqOYrCRbWMP/95uDejEagq/Nu/Rf/u/vRnmexruPCL/Hz83/42\n27Ztw/ncc6x59NGLo4N2e/iNPvnJsQ/0zDMwfz68+upFDzVv2MDZZ58N914UGEVR9BYyIkfmQB6n\nVBlESuQczFrMxKKt94wUjNr624wwTgxTMBqMGWEcHzIILZAjJVWGOYA8hjeyzEPjxIkTqKpKdnZ2\nTJyjL9un8U3uuw8iA5k+X9ho1AheeCGcDauhEOIzfZ+Oek7gO99h2/HjlPznf7L0m9/ENjIS/SZz\n5sCuXfDZz8LoDbTBwXArkXvugdFN7XNyaPn2tznw93/P8ZYWgpENIAUl0jBGZCIFoylSEos2B1VV\nha7FlCFSqq1bjbxWmSmpscEUjAZjRhjHh1a/KHIdJsghtmSYA4Qb9YLYabUgT2sQCEcXz74ZSZs9\ne3bMenxeSTTa7fDox6LTkR5/PNwnMZaoKnz1q9G/u4c/UM0J/efQu9/NrvR0Zv/TPzH9j3+8+E0+\n8IGwlWtNzcWP7d4dNs0Z3dwRYN06OHSI4ocfxm63MzIyov+tRUYWoaVdhyLr9UVEEyki183Z7XY9\ns0HkeWjrJSOjc0YTj5RUWfqHJhpTMBpMPCOMIqdyyjCHUCik71aKLLZkqMMEeYSvLKm1gJ6KmpOT\nQ0FBwZjPCYVg82b485+hqSkswnS6u2Hr1gs/qyocPgxcQTQ+8QQf/JcpFOdc2IkfGoLvfjeWswuP\nO3J4AJ/laxeGW1nJkcWLWfjggxQcGdVew24Ptwf5+c/DvRIj8Xrhs5+le8XbeOlUBS9yM24yLrzu\nG9+Al1+GyZOx2+16i5KGhgahRRZc2CgJBAJC182lpKToGyQiR4RkiDAqiiLFPOKRzmk0mmAMhUK6\nd0KsMSOMscEUjAajnaBGCkYtlC+y3b4MUdLInUqRRYoM6cGhUEgK4ev1evVIqeiCMRAI0NzcDEBV\nVdUln/fww7BmDdx1F1RWQkEB3HKLyhfefozD0++BO+6AkyfDT3711XAd3+23w86dF4nGHa++iu/+\n++EDHyB1uIdPeaKLC7/3PXC7YzfH0dHFW3mexewDQLVaaZ8xg7mf+QzO0aHN0lLYsgU++tFw0eWb\ntLfDf/4n3PseO5Xffpj8YDu38BK38iLreJ2BaQth+3Z49NGo1NWKigoURcHtdtMd6zBqnLHZbFI4\njMoiUmSYA8iVzimDYATj5mEKxthgCkaDiWdKqsjROU30yiAYbTab0J+FDJE5WcS7tkB2OBxCzwPg\n/PnzBAIBHA4HJSUlYz5nx45wkC2S7m546SWFr/xhNvN7N7G89zl+uvC/GXj6efiXfwk/6fnnYfly\nuP12HHV1umhMPX0a229+o7/XR0e+Ta7tQqpqX9/Fx7tW9uwJB/ki+TwXFGTv4sUUv/giltGLorVr\nYd8+WLYMCHfTeO65cIni5MnwiU/A735voclXGvWyfSzmv+7fAYsXXzQWp9Op14dqIl1kZHEYlaEN\nQuQcRI5ey5BaawrG8WGmpMYGUzAajGl6Mz7MOSQPMglGq9Uq9Ochk+HNmTNnACgrK7ukM+oYhp8X\nsZPl/O3I95j0rlU8uPUD7GAZ+rL1+edh0SIcX/oSKxcuJLh4MccfeEB/bTpD/GPgW1Hv973vhVsj\nTpTvfCf659Vs4kbC+al9Cxaw5dOfpum226Kf9MgjYZVZWEhTU7g9Y0UFvPWtYRPUK62fXt1y6Zrv\nKVOmAGGhLnLNHMjjMCpDVEu7LwSDQaGFipaRJfIcZBCMFotFvx+YEcbkxhSMBmOa3owPcw7JgwyC\nUYY5gDz1i16vV0+NLC8vv+Tzpk0b/3sOkc7PeJAV7GA+h/gVDxDAGlZZ3/gGjsWLuXF4mPb3vpf2\nRYvC4yCFVKIX6+fOhdsVToRz5+Dpp6N/58dOO4X4MzLY+fDDWFNSyPjpT8ORxPR0+O1v4Zvf5I0d\nNm6/Haqq4LHH4Gp8aqZOvfRjBQUFpKamEgqF6OjouLaJJQmyGN/IkM4pSy2mDGJLhjmA8fMwI4yx\nwRSMBmN0hFFVVSnSOWUQWzLMQVVVPToncg2jLIJRlghjW1sbEHaKvNzm2TvfCR/5yNW//xHm8T5+\nxSxO8HM+iB8bNDaScscdrPnJT2j6+McZycvj03yDT/PNi17/X/919ceM5Ic/vDgauJ1abuFFdn/0\nYfzFxaxYsYK8khL43e9Qd+7i9bx3sG4drFoVDoxerQ664Qb4+tcv/biiKBQXFwMX/v6iIovxjQyC\nUVEUKSKlMogtGeYAxs/DjDDGBlMwGozRpjeRXzCRhYoMYkuGOUSmrpmCMbGEQiHd8MbIlPZ4oAmW\n4uLiy7bSUJRwu4t///co75eLSFPGFg2nmcaH+TnTOcXjPISXFKxPP83ST32KvkWL2MSaMV+3a1e4\nN+O1MtoZVeMgNTTVrAmLxbw8VBVeOjaZVR+pZv162Lhx7Nc5lMvXVb397eHX5uVdflyaYGxvbzfM\ngTAe2Gw2XC4XgBSCUeS6ObjQzkHkVGeZHEYDgYDQkfd4CkaR/06JxtCVbVtbG7t27eLcuXO0trZi\nsVgoKSmhtraWuXPnXva1f/zjH3njjTeu6nj/+q//qt9UxqKxsZGXXnqJs2fP4nK5qK6u5tZbbx3X\nolJVVV544QV27NiB3W5n/fr11NbWXvF1RqekmoIxeZBhDpHNc0WehwwOqZG79yLPIxgM0tnZCVwQ\nMJdDUeCf/zmcovnAAzC6pz1AanYqt1g24u928xy3Exx1K2umgr/jcb7C/+PTfIMH+37KpJdfZjoP\ncoCFF71fWpqKzXbtPSEvFQDOzPBy001LyM3N469/hX/917A4vRRL2M1sjrFVXclpxs7PffRR+NrX\n4BJloFHk5+djtVrx+/309PSQn59/5RclKampqQwPDwsd1ZIhwggX7g0iC8Z4NIw3mkhzvVAoJKzZ\nntHiXVt/B4NBvF5vTO6n+/fvZ+vWrbS1teFyuZg6dSq33377VW3uDg0N8fzzz1NXV4fX62Xy5Mnc\ndtttTJ48eVyvP3nyJH/5y1/o7e2lurqae+65B+folkwxxJAV4Xe/+10ef/xxTpw4ccnnLF++nB/8\n4AcsXHjxzRvglVde4fvf//64j6koCl/84hfHfKyvr4+Pf/zjPPXUUxc9lpOTw/e+9z3e8573XPK9\n+/r6uPPOO9myZYv+uy984Qu8/e1v56mnnrpss3mjU1K1L5iiKJc0khABGcSWDHPQFgCRhegiIkNr\nEG0Odrtd2IUAQE9PD8FgELvdTm5u7rhfd889sHcv/P3fX2yG091r5Q+sZUnRGb7d/kkOMZ8neR9+\noq/F55jMP/A9vsZn+Sqf5508zW9550XH+sdFb2CxrLqm+QH83d/BH/948e/vrT3HqVNV3HHH5YXi\nBl7hbv7IFlbxJO8f8zlVVeG+kW972/jHZbVaKSwspLW1lfb2duEFI4gdnYtM5VRV9bLR9mRGBrEl\nQzrnaIdRUe8T8YowQjiIMxHBeOTIER588EF27tx50WNOp5MvfelLPPLII1dcP/34xz/mn//5ny9K\nk1UUhQ9/+MN85zvfuWyg6d/+7d/4whe+EJU5Ul5ezl/+8hfmzZt3lbMaH4asbF9//XVdLJaWlrJh\nwwamTp1KMBhk+/btvPLKK+zYsYPa2lqef/551q5de9F7/M3f/A0VFRWXPU5zczP//d//DcC6devI\nzMy86DkjIyPceuut+od78803U1tbS39/P08//TTnzp3jgQceYHh4mL/9278d8zgPPvggW7ZsYcaM\nGbz97W8nGAzy1FNP8fvf/55Pf/rTfGe0PV4E8Yow2mw2YW8+IEdrEBkEowyfA8iRkipDLSlAb28v\nEN6cu9pNiOrqsInoM8/AJz8JoztE7GkvZw//xQLHCb7m/Sz1TOPnfAgf0X+zVkr4EL+ghv2k2gN4\n/NHf0Zs2/T/47cNw771XP0FgQc4Z4GIzn8ZNrdz44qV7Tt7Gc9zKC7zGev6e/x7zOS4XfP7z4flf\ny+mcm5tLa2ur8C0pZKibG+0wKmrvZJnElgxzAPSWRSJi9AZEWlqa/u+BgQEKCgqu6X327t3LmjVr\nGBoawmKxcNddd7Fo0SKGh4d57rnnOHjwIJ/5zGc4c+bMZQNe3/zmN/n0pz8NQGVlJe94xztwuVxs\n3LiRTZs28dOf/pSmpiaee+65Ma8Rf/zjH/n85z+Py+XiPe95D6WlpWzevJnXXnuNt771rZw8edKQ\nSKNhK9va2lo+97nPcfvtt18kZF566SXuuusuPB4PDzzwAHV1dRelkm7YsIENGzZc9hif//zn9X9/\n6EMfGvM5jz32mC4Wf/zjH0eJwi9/+cvceuutbNu2jYcffpi3vOUtF4nUjo4O/vCHP7BkyRLeeOMN\n/Qv5uc99jkWLFvGTn/yEb37zm5e88Mcrwij6Al8G4x5zDsmDDIJRhjnAxJ1eFSUcbbz1VvjmN+Eb\n34DRmuGgdxYH+RYzOcm/8C+co5SfpfwdHl/0dfEAC2GMLLp7+AM73ruW6ZWVsGTJ+Ae3YwcjPit3\n36QwlmB8zbNyzJfdyZ9YwyZe5Bb+kUs77tx3X3jOZWXjH9JoRjuMirqxKEM6p8PhQFEUVFXF4/GY\ngjGByDAHRVGwWq3Ctzgx+rOwWq24XC6Gh4ev2Sk1EAjwrne9i6GhIdLS0nj++edZtepCVspXv/pV\nPvvZz/KNb3yDH/zgB9x8883cddddF73P4cOH+exnPwvALbfcwjPPPBMl7jQx+corr/Cd73yHRx99\n9KL3ePzxx7FarWzZsoVFbzqAA/zjP/4j//Vf/8Wzzz7LO995cSbNRDEk5+yxxx5j69atvPWtbx3z\n5nTzzTfzhS98AYBz587x17/+9aqPEQqF+NWvfgVAZmYm99xzz0XP6e3t5bvf/S4Ad95550URxIyM\nDH71q19htVrx+Xx89atfveg9zp49i6qq3HbbbVG7N1lZWaxfv56hoSG6urouOU6tQD9yhyOWyLLA\nN6NzyYEMn0Ok06vIYksWwRgrp1eXC/7lX+D48bDpy1icZCaf42v81XUvn/28lYcfhvFsuveQx1u9\nv6f7uYvTjC7J3r2EVtTyoTX17PCPT2TezTN8g0fpJYdP8W1e4pYxn7dgQdjU5v/+b2JiES44jPr9\nfoaHhyf2ZglEBsEY6TAqcmqtDGJLhjmAHPOIxxy0Nfi1CsY//vGPnD59GoAvfvGLUWIRwt/tr33t\na3qZXWRAK5J//dd/JRQK4XQ6eeKJJy6KBD766KOsXr0agK9//etjXu/OnDlDeXl5lFgEdB3UPDoV\nJ0YYIhjHkz97xx136P8+ePDgVR/jtddeo6WlBYD77rtvzPDrn//8Z/0G+bGPfWzM96mqquKWW8I3\n7T/84Q8XnbBlZWUoisIzzzwTlWvc1tbGCy+8QHp6+mXrQowWdNr7iyxSQqGQnoctslCRQWzJMAef\nz6c7oYkstmQQjD6fT78Gx6o1SEVFuG/i/v3hDNKxAmZNw0V86Uvw1FNw112wdOmV3/cUM3jLrz/I\nuDI3e3tRlyzhYf6bX/PuKz59OnW8g99ynGo+zTfZwuoxn3fDDeFayH37YM3Yhq5Xjd1u1xdLIqel\nylDDCHKk1poiJXmQYR7a+tVIJ2ft73Stx3g1opD+Up4niqJw//33A3D06FEOHz4c9fjQ0BB/+ctf\nAHj7299OUVHRmO/z0Y9+FAgHvV566aWLHp8yZQrNzc1s2rRJ/52qqjzxxBNAOM3VCBLmahG5IPVd\ng5/5L3/5S/3fH/zgB8d8jvYB2+12XbGPxU033QSEzRn2798f9VhBQQH33nsvR44cYcaMGXz4wx/m\nAx/4ANXV1Zw9e5aHH374smkl2skpsoGI0UTmrYssfGUQWzLMQbueKIoi9DxkiJJqu7l2uz3m86ip\ngaefhmPH4H3vg7EuHT094efs3g05OVd+z/3HXdyytJsrtetSb1jKp/gWP2TsjchIUlOCtFDG77iX\nk8wa8zmrV8OLL8LOnWGBG+vbhRZlFLkPWWSEUWRrfE0wXsu6J1mQQaRE1s2JfD5payaRDYg0jPwc\ntDX4tQrGc+fOAeHrUGlp6SWfN23aBXfr0WJv69at+kbR5UruIh97dbTjG+EAWCgUYsOGDdx99918\n7GMfY8GCBfziF79g2rRpvO1qnNGugoSpmG3btun/jvwDj4eBgQGeeeYZAKqrq1m+fPmYzzt69CgQ\njiJergB0zpw5F70mkp/85CfccssttLW18fOf/5wnnniCvr4+HnzwQR577LHLjtVowah9wUStS4Ho\ni4TI8zBTUpMD7XyyWCxCn08yRBi1OTidTsM+i1mz4Ikn4NQpeOghSEm5eNGhqvCm984V2VmXxy1z\nWxgaHHvxovb187nTH+I7fHJc7+fxWfEw9v3nlltg82bYtAluvvnyvScngnb/EzmqpQmtUCgkdDsH\nbS0gskiRQTBG3qdFFlsi3+M0tDkks2DUuNIYIx8frScif75ca8HCwkLdmGcsTXLHHXfw7W9/G6vV\nyp/+9Cd++MMfcvjwYebMmcNzzz1n2JohIatCv9/Pt771LSDcAPZq1fBvfvMbPc3pUtFFuJDHe6We\nJmURRSJj5f5mZmbywgsvsHPnTvbu3YvNZmP16tXMmjX2bnEk2oXIFIzjQ+R5RAoVUZElxRnEPpdA\nrtYg8ZhDZSU8/jh8wfdF/vMXmfycD9HDFTrbX4LtZ8rIzfLTcS6AM+fC91lV4X0PWvkfPnvN47TZ\nwjWY//zPV+evMxFkSINMSUmJMoy5XDurZCYei2OjkaHpfeT9QeTPQkPkOcTjXj1RwajpCK/XS1NT\n0yW7OES2E2xqaop6LFJfjEeXdHZ2XrIe8ROf+ATvete7ePnll3G73cycOZMNGzYYunZLiGD80pe+\nxPHjxwH4+Mc/TklJyVW9XsvTtVqtvPe9773k87T0mys5lEa2vLhcys6yZctYtmzZuMcZ+QU2WkSI\nvDgW+UInGzKkUMuyiaJ9FiKL90RESUsPPc+/s5d/5Yv8hnfxAz7GbsZRxDgKX8hO9iQ73e//R/ib\n9agqLFxo4/jxaxMqZWXhCOiHPwzFxdf0FteMLIYxVquVQCBgaK2T0WjXJZHnIEOUVBbBKMMGhEYy\nRxjXrVvHD3/4QwB+8Ytf8OUvf/mi5wQCAd2MEy7WE5E/j1eXXE6TlJSU8P73j9231wjivir83e9+\nx9e//nUgnAo6ljPp5Th9+jRvvPEGALfddhvFl7jzqqqq1whcaScycvc7ljfUyBPT6AijyMiSkiqD\nUJFpDiKLXpBjHglJq505EwAnHj7AE+xiGbu4gQ/yc1IZueq3e+yJChZ95zscOFDA8eNX/1ncXHKE\nP/4RGhrC/RTjLRZBHsMYGRbHsoktUZFhDiDHPERISb377rv1qOLXv/51/vSnP0U97vP5+NjHPqYH\nw+BiPRH583h1STJt8sU1wrhlyxbe+973oqoqhYWFF/UfGQ/jMbuBC/bVXq/3ijfJyA8kls0u4ykY\nZbhogDzzEB2RPwdZUlJl+G5rtWZxTR/8ylfg6FHQ3Lefeoobzp7lhuNv8B+Hf8MTh2p4wvduDlIz\nrrd7jfV8Z9MnCe3YCNSO6zWlnOV+nuJv7+lh+sdvhvXXNJOYoRmziVz7B3KJLZHnoCHDHECOeYg8\nBxFSUu12O7/+9a/ZsGEDQ0ND3H333dTW1rJo0SKGh4d5+eWXaWlpobq6mt7eXtra2i6KIkbqC6/X\ne1nDzMj6/2QhboJx3759vO1tb8Pj8ZCVlcULL7zA9OnTr+o9VFXVw735+flRrTnGIjMzk87OTtxu\n92WfFxnyzczMvKoxXY7IEzMQCBjiiqbVEERGVEUjctw+n0/YFDzt8w4Gg8J+FloNYygUEnYO2qJY\nURRh5wAXziejrh3xQDuf4vqdKC2FHTtQ/vpXlJERQm82bQwE4PQzp3D8w/9RU65Sf2CQIdKv8GZw\niAUoqHAVwbmVbCWPbprv/jgFi4pxJfjzk+F7HYnP5xN2HtrCXobvtcjnU2T9pc/nE3pjDuQ4n4y8\nT8QiFXzZsmVs27aNj33sY2zdupVt27ZFGXjecccd/PjHP2bGjBkA5OVF19BH6gu32x1VDjcaTZfE\nUpNMlLgIxqNHj3LLLbfof6Dnn39eb255Nbz++ut6AegDDzxwWXUO4V4knZ2der/GSxH5eCz7l0Se\nmBs3brzo5IklPT09PP/884a9f7wYq+eMaOzbty/RQ5gwZ86c4cyZM4kexoQYGRmR4juxZcuWRA9h\nwpw4cSLKDCAu2Gx4U7LZ/fmDbNkymYMHC/B45gBfgR5jD/007+Jp3gXvA4slxIwZvdx443lWrjxH\nTk7i0kJDoZAU34mdO3cmeggT5vTp03ojcFEZGBiQ4nx67bXXEj2ECXPo0CEOHTqU6GFMiNbWVlpb\nWw15b80oc6KOuPPnz+eNN96grq6OXbt20dPTQ05ODrW1tUydOpXm5mZd7NXU1ES9NlJftLS0XNa/\nRdMlRvVUvBYMF4z19fXcdNNNdHV14XQ6efbZZ1mxYsU1vdd401E15s6dy65du2hsbGRgYOCSRaYH\ntdQloltsTJTINFSR0wVMTExMROPQoXy+9a3F9Pcnti1JKGThxIk8TpzI46c/nccHPnCEu+8WWyiY\nmJiYiESsPQFmzJihRxIj2bx5s/7vG2+8MeqxyFYaBw8evKSJ5rlz5+ju7gZiq0kmiqGCsbm5mfXr\n19PW1obD4eCZZ55h7dq11/Reg4OD/OEPfwBg0aJFzJ8//4qvufnmm/n5z39OMBjktdde46677hrz\neVpUq6ioiAULFlzT+MYi8sRcs2YN5eXlMXtvjbNnz3L48GFycnIu2Y8y2fF4PLz++utA+DMTNSX1\njTfeYGBggEWLFlFUVJTo4VwTJ06coLGxkbKyssv2CUpmenp62LlzJw6Hg/XrE1w8NgFefPFFQqEQ\nN9544xUd1ZKVffv20d7ezsyZM6mqqorbcbu74YEH7AwOJl+a2S9/OZe/+ZuZ3Hpr/DYR3W43W7du\nxWq1cvPNN8ftuLHm1VdfxefzsXz5cnJychI9nGvi0KFDnDt3jmnTpl11WU6y0NrayoEDB8jMzGTl\nypWJHs41EQgEePnllwFYv369sO2Ltm/fTl9fH/Pnz79sQ/lk5tSpU9TX11NSUhLTNXgkWi2g0evL\nn//850C4bcZNN90U9VhtbS3p6ekMDg7y8ssv85GPfGTM94jMtLvllluMG+xVYphgbG1tZcOGDbS0\ntGC323n66acnNPGnn36aoaEhAD70oQ+N6zVvfetbycrKor+/n+9+97tjCsYjR47oYuW+++6LqTlN\n5HvZbDZDjB+0BrqKogjblyoydddutwvbNF7LkbdarcJ+FtrF1GKxCDuHyHGLOgcIfwahUMiwa0c8\n0Matqmpc5/D66zA4GLfDXTV/+pOdO++M3/G03XW73S7suQQX5pGSkiLsPLT7hMjfa+0eLfJ9IrJm\n0eFwCD8Pkb/b8Vh3xMN1/Le//S0bN24E4NFHH71InDocDu655x6efPJJ/vSnP43ZzzEUCvH9738f\ngOLiYtatW2fYeK8WQ/5y3d3d3HTTTZw+fRqr1cpTTz3FnRO8O2rpqA6Hg3e/+93jek16ejqf/vSn\ngXD941e+8pWox9vb27n//vtRVZW0tDQ+85nPTGiMo4k8MY3quSR6oTbI1w9JZGRw8JOhzxnIMY9E\nWYPX1sLVmMtVVcFta6++5QZANr0sZB9Wxt/EfMOGazrUNaM5hce1vYkByOAcLIOLs8j3Bw0Z5gBy\nzCMe3+tY9JjeuXMnBw4cGPOxJ598kve9730ArFq1io9//ONjPu+LX/widrsdv9/Pu9/9bnp7e/XH\nVFXl0UcfZe/evUC4Z/2VvFriiSGhnAceeIBjx44BMHv2bHbs2MGOHTsu+fz58+frf+ixaGho0Hsv\n3nXXXeTm5o57LI888gibNm3ixRdf5Atf+AK/+93vqK2tpb+/n2effZaBgQEsFgtPPvnkJXs6XiuR\nJ7/Riz6RLxoi3zjHQobPQmSRIoPohQs3tokW6SeSRDWMr6iA/fvhm9+EN94ArxdcrvB/kyfDtGkw\nfXr4/zU1kJsL98ysB+Zd9bFcmVZernwEZ2iIQ3PeTd3ND1PfaOXUKWhqCkc6h4chGAwf6yMfgdtv\nj+18r0RC+mHGGFVV9e+CyL1JZRC9MswhEpHnIdNnkeyC8fXXX+ezn/0ss2bNorq6mtLSUtxuN1u2\nbKGxsRGAG264gT//+c+XPM7UqVP50Y9+xIc+9CF27NjBtGnTeOtb34rL5WLTpk26Ody9997LQw89\ndM1jNQJDBGOky9Hhw4c5fPjwZZ//9re//bKC8YknntC/FOMxu4nEZrPxxz/+kc9//vN8//vf5+DB\ng1EmN1VVVTz++OO85S1vuar3HS9aWpnREUbRF8caIs9Dhs9CSzUSWaTI0KsNGHcf2WQmUYIRYOZM\n+NnPxvfcX/wiwB9PXb1YBDjvzuTh6uf5v/9LYTmQjJXkMghGv9+vf6dFnkc8UuOMRmtJIWr5CIi9\nKToWIgvGeNyrYyEYly9fzuLFi9m7d+9Frt85OTn80z/9E5/+9KevWA/7wQ9+kNzcXB5++GHOnj2r\ntwuEcK3lpz71Kb74xS8m3WdqyLf9k5/8JB0dHeN+/syZMy/7+KxZs/j3f/93rFbrNQm71NRUvvWt\nb/GFL3yBjRs3cu7cOZxOJ9XV1SxfvtzQD8VqtcZFMIqMLCmp2s0zsr+TaMgwh8goqaqqwn5HUlNT\ncbvdCRFbsSKRgnG89Pb6+dSnJnbd+fWvU/jgBwe5+eYr93VMBNrfX1RjD7gwB4vFklRpWleLDCmp\nMgjGyE1Rkech8ppJQ5SU1LVr17Jnzx4aGho4fPgwZ8+exeVyUVlZyY033nhV59Fdd93FHXfcwdat\nW6mrq8Pr9VJWVsbatWuT1uTOkG/J5aKF18J4axavRHZ2NnfffXdM3mu8aCenmZJ6aSILg0Xe9ZMh\nOieDYNQWk6qqEggEhF1ciiC2roTWmNjn8zEyMqI71SULfr+fr3ylkd7ei+3Rr5bHHhtg2bIgWVlZ\nMRhZbOnv7we4bKPoZCdS9IostrTG5KJel0AOwajNwWq1Cn0+aesNUd3lI0l2wahRVVUVE9dvi8XC\nqlWrWLVq1YTfKx6ImxMhCNqX2KgFeLwEqZFYLBb9QuH3+xM8mmvH6M86Hsgwh8goishiK1GGMbHE\n4XDoIlETLcmC3+9n27ZtHD0am4X76dMZbN26NenmGQgEGHzTMjY7Ozuxg5kAMqTVghzzkEkwijwH\nkGMemug1UjDKUP+caMy/nMG4XC4AhoeHDXl/GSJCYEbnkgUZPgdFUXSxJUP9n8hzgAsipa+vL6Hj\niEQTi319feTl+S56/G/+5vKvv/FGKCmJ/l1eXgC/3590olEbi81mIy0tLcGjuXZkcHpVVVWKecgk\nUkSeA8jxWcRjDlpbPpGvgYnGFIwGo6UADQwMGPL+MogUkGMe5hySBxnSOWWYA6CnaCaLYIwUi1ar\nla9+tZBVq8BigcWLYcsWrtgjsaICdu2Ce+4BhyP88+OPu8jIyEg60aj93bOzs4VOvZOhDtPn80lh\n3BOZzikqMgitSOdgkT8Lo8V7KBTSBaPIafmJRtxviiBoxauDBnWRjlzgi2zwIYNQMeeQPKSmptLf\n3y+02JJFMObk5ADQ29ub8GvUaLFYW1tLbm4OmzaBqoZFI0B9/ZXfq7QUfv/78OvCr03B613J1q1b\nGRgYYOvWraxcuTLhNY09PT2A2OmoIEcqpzYHq9UqtFCRITqnlb/IILRA7M/CaPGuiUUgaQ1lRMCM\nMBqMdnIaHWFUVVXoOkYZhIpMczDS2TceyCC2tDn4/X6hU4Rzc3OxWCz4fL6oJsXxZmyxGO7pqyhv\nisWGBjh5kjT75dOAI7Oa9NcSjn6tXLkyaSKNoVBIdywvKChI2DhigUyCUXTjHhmiczKI3si1hgzz\nMGoOketvUzBeO6ZgNJh4paSCHELFnENikeV8kqH+TxbzHpvNpouVtra2hIzhcmIxiu9+F2bNIu+B\n2y77frlZlxbwySQau7u7CQQC2Gw28vPzEzKGWCFD7Z8MohfkEIwyzQHEjpTGSzBaLBbhv3uJxBSM\nBmN0SmrkRULkBb5MYkuGOcAF+3cRkcFh1Gq16jc3o64f8aK4uBhIjGAct1gEePN8mcrpy77ntN3/\nd9nHk0U0an/vwsJCod0BA4GAnlamGcmJiCyC0WwNkhxEzsGMWF8a7f6ZkZEh9N8p0Yh7BxEEoyOM\nFotFilYIMoktkedgsVikEFsypKRCcjqMXgtFRUVA+DoYT/F7VWIRwg42QBkt5NJ9yafVfKz2isdO\ntGhUVVUXjJpgFxW32w2EN1FENq2QIUqqqqoUwlc2wSgy8YowmumoE8MUjAZjdIQR5GiFIIPolWEO\nIIfYkmEOkHwOo9eK0+nUzW/Onj0bl2NetVgEKCwEwILKzbw09lNS+6m5Z3xNmxMpGnt6ehgeHkZR\nFF2wi4rp9Jo8yOb0KrLYkmEOEL8Io8ibTcmAKRgNxmjTG5BDqMggemWIMIIc9X/aHAKBgNCfhywR\nRoDy8nIAmpub9QWnUVyTWASoqdH/+TD/PeZT/u4jIa4muzNRorGpqQmASZMmkZKSYvjxjEQ7/xPt\nODtRZIjMaXOwWCxmSmqCkWEOkQZ7ZoQxuTEFo8EYnZIKcggVGeag7RoHAgGhha8MKamyGMZogtHj\n8Qgt4AFKS0uxWq14PB5DaxmvWSwCrFmjW6CuZBuf4j+iHl46pY1Hv5Zz1WOKt2j0er2cP38egClT\nphh2nHih/a3M1iCJJzKtVuRorzYPkTdTZHB6jUdrEFMwxgZTMBpMPFNSRRZbMswhchEgskiRIZ3T\nYrHoCwGRhVZqaqoufkWPMtrtdsrKygBoaGgw5BgTEosAGRnw6U/rP/47j/AMd/PP/DuPTf8uLx3I\n4Vo9V+IpGpuamgiFQqSnpwvfTiMYDOoLPpEFo6qqUtQwypBWC3KIdxkijPFwejVTUmODKRgNxoww\njg8Z5iCTSAGxBSPIMw+Z0lKrqsK1f11dXXpD+VgxYbGo8bnPhUWjw4EC3JXxGh98z0Hmfb0Mp2ti\nEZV4iMZAIEBjYyMQ/nuLHAWCcHRRVVXhDW/8fr+eeieySJFBaJnGPcmD3+8HQFEUwwSjGWGMDaZg\nNBgzwjg+tFoI7eIhKjKIFBnmABfs9zU7flHRBGMiG8DHioyMDCZNmgTAsWPHYlbLGDOxCGC1wte/\nDu3tcPIk/nPnOHXvveHfxwCjRePp06fxer04HA49oisykfWLIotf7TpktVqFrv2TRWjJIN619ZLI\ngjEeabWRbTVMrh1TMBqMGWEcHzLUzYEc89DmIHKUFCAzMxMQPzInU4QRoLq6GkVR6O7upqOjY8Lv\nF1OxGElWFsyYobfaiCVGiUav10t9fT0As2bNEnohqSFL/aIswlemtFpFUYSuYZRFvIOxglFbf4uc\noZAMmILRYOLhkiqDYNQueD6fT9/5ExEZonPaHPx+v9DnlCxCS5vHyMgIIyMjiR1MDMjIyNAdUyca\nZTRMLMYBI0RjXV0dgUCAtLQ0/W8sOt3d4X6YMglGkdGuQSLXMEbWYYos3mWoJ42nYDQjjBPDFIwG\nE4+UVBnaakTukIkc2ZJBMDqdTixv9g0YHh5O8GiunUih5fP5EjuYCZCamqpfR4x0F40nM2fOxGKx\n4Ha7OXPmzDW9h8hiUSOWonFgYEBvpVFdXa1/h0VmcHBQT+UU3bxHlkip9nmkvekmLCIyROZAjnnE\nQzCapjexQfw7SpKjnaDDw8OGtVrQUipEXhRH1nWILLZk6GGoKIq+GDByo8NoZHIYLS4uBuQRjE6n\nk2nTpgFw5MiRq46cyiAWNWIhGlVVZf/+/YRCIXJzcykpKTFotPFFO99zcnKEXhQHg0HcbjcgtmD0\n+Xz6OkPkxbcMQgvkmId2PhmZGmxGGGODKRgNJvIENWrxLUNUC+So/5Pls5BBMCqKoqd/ySIYu7q6\nhM4kiGTGjBlkZGQQCAQ4cODAuFNTZRKLGhMVjadPn6a3txeLxUJNTY3QaXaRaIJRO/9Fxe12S+H0\nGmncI3IapAx1mJH9nkWeRzzSak3BGBtMwWgwOTk5empQLAwexkIWkSLDPGSYA1zYPRZZMII8DqM5\nOTk4HA5CoZBh15F4Y7VaWbhwIYqi0NHRMa7UVBnFosa1isaBgQGOHz8OhFNRZVkU+Xw+vX5RdMGo\nbVhlZmYKnSocmdon8qaEDJG5yDWGyOI9Hp+Fds8UPa090Yh75RIEm81GYWEhAOfPnzfkGJFpkLGy\nqU8EMogt7cItunmPJhhlaUkheoRRURSKiooAedJSISyEI1NTL2cOJrNY1Lha0RgMBtm7dy+hUIic\nnBymTp0ax9EaS3t7OxBujyO6CJalflGWWjAZzGJkM+4xSjCqqkprayuA3tLJ5NowBWMc0E5S7aSN\nNZEXPZFr52So/4u86IksfGWLMA4PDwtd4wsXoizt7e1CbwyNZubMmWRlZREIBNi5c+eYvVivB7Go\nMV7RqKoqBw4coL+/PypaKwuR6aiiz0vbsBJdMGobiLIIRhkijCLPAYyfR3d3t35PMQXjxDAFYxww\nWjDa7XbdKVVkkSJDhDGytkPk6JxWwxhpciAiqampejG96FHGgoICLBYLPp+P3t7eRA8nZlitVpYu\nXUpKSgpDQ0Ps2bMnShBfT2JRYzyisb6+nrNnzwKwePFi4aNwkUSmXmuRdVGRxfAGLmwgiuyQGgqF\ndPdvl8uV4NFcOzLUYcKFeRgV7dXW3Q6HQ/jvX6IxBWMc0BzrjBKMIIfYksH0BuSIzjkcDt3mWuR5\nKIoiTR2jzWbTazCMvJYkApfLxdKlS/V6xqNHjwLXp1jUuJxobGtr49ixY0C4blG2nXPN3Mlms5Gf\nn5/o4UyIgYEBKQxvVFWVIiV1eHhY35ASWfjKkFYbDAb16J9Rwle7V5aUlAifqZBoTMEYB4yOMIJc\n6ZyyCEaRI4yKokgxD5CnjhEupKW2trZKlZYKkJeXx/z584Gw6+fJkyevW7GoMZZobG5uZs+ePQCU\nlpYyffr0BI8y9mj3yqKiIqFNYkAewxuPx6O7coosGLX7mcvl0jOzRESGlNTItZ5R89C8Q2TbVEsE\n4l69BEI7UY0yvQE5xJYs5j0yRBjhwjy0dCpR0VpriB5hhPC1RFEUhoaGdAdJmaioqNBNcE6cOHFd\ni0WN0aLxwIEDBINBcnJypGqhoREIBPRUWxn6ScpSv6gZUjkcDr1nsojIECUFuQRjSkqKYZsppuFN\n7DAFYxyIR4RRhnTOyAufyJFSGXoYgjyROW0eQ0NDYxqqiITD4dCvJ83NzQkejTFMnz49qolzeXn5\ndSsWNRwOB9XV1frPiqIwZ84cPW1cJs6fP08gEMDhcAjfTgMuXD+1jStRkUX4ylCHCXIIxnjUYZqC\nMXaYgjEOmDWM48Nms+kpIiMjIwkezbWj7VwODw8L3VojMjIncsTX6XTqAkSGqNyUKVOA8MJaZEOi\nsfD7/Wzfvh2fz6dHzhobGzl27JjQ5+BEaW1tZe/evQBYLBZUVWXnzp1SRM1Ho22ElJeXC53CCeHz\nWRbDG1mErwwRRlVVpahhjMcctMw+GbIVEo3YV2NB0HY2+vr6DBNCMghGuLDrp7mYiYjmvKaqqtDz\n0BYGfr9f6HkoiqL3QtV6u4lMQUEBLpeLUChES0tLoocTM0Yb3KxcuVLvK3jq1Cl27dolfIT4alFV\nlZMnT7Jr1y6CwSC5ubmsX79+3H0aRcPtdtPT0wNc2BgRmY6ODlRVxeFwkJmZmejhTAhZeknK0BrE\n5/MRCAQAsSOl8YiSmhHG2GEKxjgQaQtuVJRRFsEoQ/2f1WrVRaPI87Db7frNSPS0VC21ra2tTfhI\nlaIo+mK6qalJ+PnA2G6oeXl5zJkzh3nz5qEoCm1tbWzZskV4E6bxEggE2Lt3LydOnABg8uTJ1NbW\nkpaWNq4+jSLS2NgIQH5+vtALYQ1Zekn6fD5901BkwRgIBPRNe5EFo3YNtNvtUen7omEKRrEwBWMc\nSElJ0a3BjRKMWkhfdMMYWer/ZBC+IE8dY2FhIYqi4PF4pFhcT5kyBYvFwuDgoN6vTlQu1zpDURSq\nqqpYsWIFdrudgYEBNm3aZKiBWDLgdrvZsmUL586dA2D27NksWrRIT9kfT59G0fD7/XrEvKqqKsGj\nmTihUEjPaBC9FlO7/qekpAhdM6cJLYvFgtPpTPBorp3IOkyRNyKMFoyqqpqCMYaYgjFOGF3HqF38\nVFUVuq5JFqElW0sK0Rejdrtd37TRdv1FxuFwMHnyZAAaGhoSPJprZ7x9FgsKClizZo0ukHbv3s3u\n3buFNscai1AoxMmTJ9m4cSNutxubzcby5cuZPn36RQtD2URjc3MzwWAQl8slvMAC6O3txe/3Y7Va\n9f6pohKZjiqyQNHux6ILLRnqMMF405u+vj5dlJo1jBPHFIxxwminVJvNphsEiJyWGim0zEhp4omM\nMIr8eUB0WqoMaFGYjo4O3fJeJMYrFjXS0tJYvXo1lZWVQNjM4LXXXuP8+fPCn5sQjipu3ryZEydO\noKoq+fn5rF27NqqkYTSyiEZVVfV01MrKSqEX8xradaagoEDofn8gn0Oq6EJLhjpMMN70Rltv2+12\n8vLyDDnG9YQpGOOE0YJRURQp6hg1oeX3+6WIlIq4kI9EFuMbuCAY+/v7hXbh1cjKytJvgvX19Qke\nzdVxtWJRw2azMX/+fFauXInL5cLn87F79262bdumm6WIxsjICAcOHGDjxo309/djtVqZP3++Xq94\nJWQQjefOnWN4eBir1SqF2Q1E1y+KjiwOqdr9WPT6WBmEbzAY1Nd4RkUYtfW26DXEyYIpGOOEJhiN\nrL3RjFZEToNMSUnRmwKLHJ3THPG8Xq/QAl4m4xuXy6V/LrJEGWfMmAHAmTNnhNmcuFaxGEl+fj7r\n1q3To41dXV1s2bKFXbt2CfN38Pl8HD16lFdeeYXm5mY9qqjN62oWOCKLxlAopBv7VFZWCt0UXmNg\nYEC/f10uQiwCshjewIXUWpGFr6qqUam1oqKdU4qiGFZPqq23zfrF2GAKxjgRj16MMtTNKYoiRR1j\namqqvmsmysLtUmiLeRl6GMqWllpQUKDXZh4/fjzBo7kysRCLGlq0cf369VEZHK+99hp79uxJ2ojj\n8PAwR48e5eWXX6a+vp5QKERmZibLly8fd1RxLEQVjc3NzQwNDWGz2Zg+fXqihxMTNLObnJwcoU1i\n4MJ1PzU1VWijmEAgoG8miSwYPR4PwWAQEDvCqK3vXC6XYf1WtfW2Wb8YG0zBGCfiEWGUQWjBhV0z\nkYUvyOMwqgmSrq6uBI9k4miCsaurS4qefoqiUF1dDYRvjskqkiC2YjGSjIwMli5dyqpVq/Rz9dy5\nc2zZsoWNGzfS2NiY8M86FArR1tbGzp07daEYCARwuVwsXrxYr1WcaNqUaKIxEAhw8uRJAKZPny50\ni4BIZEpH1a77+fn5Qqf1ud1uILzRJIPQSk1NxWazJXg010486jDNCGNsEfdsE4yKigog7Gioqqoh\nF15ZjFZkEb7Z2dm0tbVJIxgHBgbwer2GFajHg+zsbBwOB16vl87OTil2HnNzc5k0aRKtra0cP36c\n2trapFvYGSUWI8nNzaW2tpaenh5Onz5Na2sr/f39HDp0iCNHjpCfn09xcTHFxcVxiZT4/X46Ojpo\na2ujvb09SrRmZ2czdepUSkpKYr67ronGrVu3MjAwwNatW1m5cmVSRlVOnz6tX1NkaKUB4RROLSon\nm2AUmcg6zGS7Pl4NMtQvQnRrEKPQHMS19bfJxDAFY5zQUm2Gh4c5f/48paWlMT+GdgEZHh4mGAwK\n68wmi2DUFmiiC0aXy4XL5WJ4eJju7m6hRZaiKBQXF9Pc3ExbW5vQc4mkurqa1tZWurq66OjoSKq6\nqXiIRQ1FUcjLyyMvL4+RkRGam5s5c+YMIyMjdHR00NHRwaFDh3TDoKysLLKzs8nIyJjQIlJVVUZG\nRujr66O/v5+enh66u7uj3FutViuTJ09mypQp5OTkxGK6l0QE0ej1enWzplmzZgkdLYlES0d1uVxk\nZGQkeDQTw+fz6ZE5WQSj6HWY8RBa8SAewreurg64UOtvMjHkuEILQGZmJsXFxbS1tVFXV2eIYHS5\nXCiKgqqqDA8PC3uzGt1aQ9TdQO3G5PF4hI/M5eXlMTw8TFdXl/AiSxOM7e3tQp9fkWRkZFBeXs6Z\nM2c4duwYhYWFSTGveIrF0TidTmbNmsXMmTPp6+ujra2NtrY23G43/f39UamaVquVzMxMnE4nDodD\nr0FOSUnR64Ug3MIELnynPR4PHo8Ht9s9pqtzamqqHtXMz8+P6yZesovGU6dOEQgESEtLo7y8PNHD\niRmR6ajJ8B2cCJH1i5qpnqjIYHgD8rTUMFowBgIBTp8+DZiCMVaYgjGOzJgxQxeM69ati/n7WywW\nXC4XQ0NDDA4OCisYtZ2zUCjEyMiIsDcqbdHp8Xjo6+tLqqjP1ZKfn09LS4sUdYzawt3n89HT0yNN\nf6ZZs2Zx9uxZ3G43586dY/LkyQkdTyLFYiSKopCTk0NOTg7V1dUMDw/T3t6uRwPdbjfBYJDe3l56\ne3sv+1579+697OMul4vs7Gyys7MpKChIePpbsorG4eFhve9idXW1YaYX8SYUCumbCrKlo4osfoPB\noG54I0uEUWTB6Pf78Xq9gHHzaGpqIhAIoCgKU6dONeQY1xumYIwjM2bMYPPmzXqY3AjS09N1wSgq\nNptNF1qDg4PCCkYI72bKIhhBjjpGm81GQUEBbW1tnD17VhrB6HQ6qaqqor6+nuPHjzNp0qSEpaUn\ni1gcC5fLpbfjgPBi0u1243a7o6KGHo8Hv99PKBTSLeDT0tL065P2n8PhID09naysrKQ0bUlG0Xji\nxAlCoRBZWVnCZyxE0tbWRiAQwGazSXFdkaV+sb+/H1VVsVqtQgut0dciUdGipFar1TAXYW2dXVFR\nIfR6JZkwBWMc0cLiRgvG9vZ24R1GMzIy9FSvwsLCRA/nmsnOzqa9vT2pnQrHg0x1jABlZWW6YJwz\nZ4409VPTp0+nubmZ4eFhTp48yezZs+M+hmQWi2NhtVr1CORY+Hw+nn/+eQBWr16dlKLwSiSTaOzo\n6KClpQWA2bNnCx25Gk1zczMAkydPFj5qKmP9YqIj/hNlYGAAVVWxWCxCC8bIOkyjPg+zfjH2iH1F\nE4x4CUYwDWOSBVlaawD6jnlnZ2eCRzJxiouLcTgcBAIBQ1vdxJuUlBTmzp0LhGvErpRiGWtEE4vX\nE8nQcsPv93PgwAEgLKpE3gwczfDwsJ6OKoMroxZddDqdQmf5wIX6RdHTUbV1REZGhtAbEvGowzQF\nY+wR94wTEO3EbWhoMKwvmCytNbQLu+iROU34joyM6Dn7olJQUACEIwSR7o8iYrFYdKMNLSogC2Vl\nZXr68759+6JMW4zEFIvJT6JF49GjRxkZGcHhcDBv3ry4HTcenDlzBgjfuxJdIxoLNPErev0iyOOQ\nKss84uH0agrG2GMKxjhSVVWFxWIhEAjQ1NRkyDG0HRuv15vwZtUTQbsgDg4OCj0PzXURiHu0J9Zo\nImR4eFg3EBCZKVOmANDT06OnXsmAoigsWLAAu93O4OAgJ06cMPyYplgUh0SJxo6ODn1zpqamRsjU\n3kuhqqo+N+26IjKqqka5vYpMIBDQ71eiC3lZIqVmSw0xMQVjHHE4HHqqilFpqampqbrRhch1jC6X\nC7vdDogfZdRSOTWLclFJSUnR56ItJkQmLS1Nr82RLcrodDr11NT6+np6enoMO5YpFsUj3qIxMhW1\nrKxMeBEymvb2djweD1ar1ZCWWfGmr68Pr9eLxWLRM0tEpaenB1VVSUlJEdY5HsKGNzIIRlVVDReM\nw8PDep20KRhjhykY44zRdYyKokhRx6goir4bKLpg1ESJDC0ptCijDIIRLkQDWlpa4pa6GS8iU1P3\n799vyPxMsSgu8RSNR44cYWRkhNTUVH0jQya0DafS0lJ9o1NktOt7fn6+8PPR7rt5eXlCp9YODAwQ\nCoVQFEVo4evz+QgEAoBxgrG+vh4IX+PKysoMOcb1iCkY40w8jG9kq2MU3TBGE4x9fX1Cp9fChfSk\n3t5ePB5PgkczcSZNmkRKSgp+v5+zZ88mejgxxejUVFMsik88RGN7e7te37dgwQKpUlEhnMmjCSwZ\nzG4AadJRQZ7WINo6KDMzM2HtkmKBti612+2GXQu09fW0adOE/lslG6ZgjDPxdEoVOSUV5BGM6enp\neh2jkamB8SAjI0PfkGhvb0/waCaO1WrVF3kNDQ3Cm/mMxul06uYi9fX1MUuLNsWiPBgpGn0+n9Sp\nqACNjY0Al23NIhLDw8N6Tbfon1cgENDXD6ILRhnSUcGsXxQZUzDGmXgKRtGNSbSUVNGNbxRF0Wv/\nZEhL1RYRsqSlVlRUoCgKbrdb+DrTsZg8ebL+me3evZuRkZEJvZ8pFuXDCNEYCoXYs2cPHo9H2lTU\nQCCgp6NWVVUleDSxQbuuZ2Vl4XQ6EzyaiSFL/SJE95IUGVMwiospGOOMdgKfPXvWsAhgZmYmAG63\nW+i6rLS0NL2huuguljLVMWrio7OzU+jzS8PpdFJSUgKEo4yyoSgKCxcuJC0tDa/Xy65du675czPF\norzEWjQePXqUzs5OLBYLN9xwg3SpqBBupREIBEhNTdWvIaIjYzqq6PWLoVBIXwOJHmGMh/A1BaMx\nmIIxzpSVlenpiVphbqzRmrqqqiq00FIURZq0VJnqGHNzc7Hb7QSDQTo7OxM9nJigRQdaW1sZHh5O\n8GhiT0pKCkuXLsVqtdLX18eBAweuOv3WFIvyEyvR2NzcrG++zJ8/X8rzRFVVfY6VlZVCN1LX8Pv9\nusjSDLNERpb6xcHBQYLBIIqi6AEBEVFVVb+emIJRPMS/wgmGxWJh+vTpgHFpqRaLRRqHUVkEo0x1\njBaLRV9MnD9/PsGjiQ25ubl6/ZGMUUYIZx4sWbIECGc4XM2GlSkWrx8mKhq7u7s5ePAgAFOnTpWi\nL+FYdHR0MDQ0hMVikWaObW1tqKpKamqq8JEsmeoXZTG8GR4e1jfMjRKM3d3demmJKRhjiykYE4B2\nEhvZUFv7MooutGSZh6IoUqWlTp48GQhH5GRIS4ULUcbm5mZ8Pl+CR2MMxcXFVFdXA3Ds2LFx1aGa\nYvH641pF4/DwMLt370ZVVQoKCpg9e3YcRpsYtA2XyZMn65uBoqM5RZeWlgqdwglh4WDWLyYX2jzS\n09MNa9dy8uRJICyuRe8hmmyYgjEBaK6F+/fvN+wYskTmtHkMDg7qvXtERSbjm4KCAlJSUggEAtKY\n35SUlOByuQgEApw6dSrRwzGM6dOn683F9+7de9m0dVMsXr9crWgMBALs2rULr9dLWloaS5YskSJN\ncyw6Ojr06/jUqVMTPJrY4PF46OjoAC5sCIqMLPWLcGEdJ3rUNx7z0NbV8+bNE/5zTzbkvJonOYsX\nLwbCizWj0L6QWrNXUUlLS9N3onp7exM8mokhUx2jxWLRRYcs/QstFguzZs0CwmmpE3UTTVYURaGm\npoasrCx9kT9WRNUUiybjFY2qqrJ//376+/ux2WwsW7ZMSpMbCM/12LFjAJSXlwtdUxbJuXPngHD0\nR/RIFqCnJYqejhoMBqVpqRGPSKm2rtbW2SaxwxSMCUA7kc+cOWNYtEkzvol01xKRyJYUorc8iKxj\nlMEsRtuFbm9vx+v1Jng0sWHy5MlkZmYSCoX01BYZ0Rb1DoeDoaEhduzYEbWJYYpFE40riUZVVTl6\n9Khez7xkyRLhUwAvx/nz5+nv74/aYJIBbeOvrKxM+MiMz+fTN5hFF4y9vb2EQiGsVqvQQj7S8MZI\n4WsKRuMwBWMCKCkp0S2rjYoyWiwWfedT9LRUWVI5FUWRqodhTk4OaWlpqKoqjfmNoih63dWZM2eE\n72V6OZxOp+6c2tvby86dOwkEAqZYNLmIS4lGVVU5fvw4p0+fBmDu3LlSuGteilAoxPHjx4GwM6ro\nfQo1BgYG9HWCDOmo7e3tALhcLuE3L7SN8ry8PKFTvONheDMyMsLRo0cBUzAagbhnn+DEMy1VdKdU\nbYewt7dXeIMVTTC2t7dfdVuDZENRFH1xIUtaKkBhYSF5eXn6YlhmcnNzWbZsGRaLhe7ubnbu3MnW\nrVtNsWhyEWOJxkOHDun1vrNmzZKmnu9SNDc3MzQ0hM1mk8qBUbt+5+bm4nK5EjyaiRPZS1L0aKks\nrUG0dWhkmVGsOXToEMFgEJfLJVX0P1kwBWOC0ATjvn37DDuGLMY3WVlZ2Gw2QqGQ8C0p8vPzsVqt\n+Hw+4ecCF3aje3p6GBoaSvBoYkNklLG1tVX42tkrUVBQoIvGrq4uPd3OFIsmoxktGpuamoCw8/fM\nmTMTOziDCQQCepr69OnTpanRVFVVF4wyRBeDwaBu3qNt0IpKMBjU1wmiC8Z4GN5o6+mamhqh248k\nK6ZgTBDxiDBqYX+32y208U1kSwrR6xhtNptu9SxDWmp6erp+A5Apypibm6svNo4dOyZ8NPhK5OTk\nRKXXZWZmSmPmYRJbUlJSotJOLRYLkyZNSuCI4kNDQwNerxeHw6G34JGB3t5ehoeHURRFNzITme7u\nbgKBADabTS9nERVZ6hchPoLRrF80FlMwJgjthG5qajJMBGVmZurGN6LXYslSxwhIVccIYZMEgJaW\nFqmElRZl7OrqksKk6FJoNYtaE3JFUejr69NrGk1MNDSHUK0Hod1uJxQKsW3bNuFLHy6Hz+fTU29n\nzpyJzWZL8Ihix5kzZwAoKiqSImqq3VeLioqErvkDeeoXVVU1HVIlQNwzUHBKSkr0XVqj0lJlMr6R\nqY5R+9wHBwcZHBxM8GgmzuTJk7FYLAwNDUklrDIyMigvLwfkjTKONrhZuXJlVHrq9u3bhW8BYxIb\nVFXlyJEjulicMWMG69evH3efRpGpq6sjEAiQlpbGlClTEj2cmOH3+/XMEBnmpapqVP2i6MhSvzgy\nMqLfR4yKMHo8Ho4cOQKYgtEoTMGYIBRFiavxjeiCUaY6xtTUVP1zkSHKmJKSQklJCRA2hZCJWbNm\nYbFY6O/v1/uUycKl3FCLiopYvnw5VquVnp4eNm/eLMXGhsm1o/XrbGhoAKC6uprq6mpSU1PH1adR\nZIaHh2lsbATC8xY50jOas2fPEgwGSU1NpbCwMNHDmTBut5uRkREURRF+PjLWLxppeHP48GECgQBO\np9M0vDEIea58ArJo0SIgPnWMogtGmeoYIdotVQYqKiqAsEmMx+NJ7GBiiNPp1OuVTpw4IXQtcCRX\nap1RUFDAihUrSElJYXBwkE2bNulGEibXF0NDQ2zZskXf3Jo3b16UQ+iV+jSKzsmTJwmFQmRlZekb\nYzKgqqpuWlRRUSGFENbO0by8POHTa7X6RZvNZtYvjgNtHV1TUyNVyngyIf4VQmDiGWEU3fgG5Kpj\n1Ewiuru78fl8CR7NxMnNzSUjIwNVVaWLMk6fPh2bzcbQ0JAUcxtvn8W8vDzWrFlDZmYmgUCA7du3\nc/r0aSlTc03Gpquri82bN+N2u7Hb7axYsWJMwxdZRaPb7dZr/GbPni18i4ZIent7cbvdKIqip96L\njkzpqLLULwJm/aIkiH0WCo52Yjc2NhqWZpmZmYnVaiUUCgkfZZSpjjEjIwOn04mqqlJEGRVF0aOM\nTU1Nwm9ORJKSksL06dMBOH78uNAR1PGKRQ2Xy8WqVav0DY4jR46wf/9+4b9/JlemsbGRbdu24fP5\nSE9PZ/Xq1ZdN85NNNKqqyuHDh4HwvUdzt5YFLc22uLg4yiFZVEZGRvQ1TqSLr6hoG+OiO72GQiG9\nNVVOTo5hxzEFo/GYgjGBTJ48Wb8JGWl8o31JRU/llKmOUVEUKd1SbTYbHo9HmjlpVFVVkZaWht/v\n59ChQ0JG2a5WLGrYbDZuuOEGvc9eS0sLW7duFVo4m1yaUCjEwYMH9fO8qKiI1atXk56efsXXyiQa\nm5qa6OrqQlEU5s2bJ1V00ePx6DXZlZWVCR5NbNA2XtPT08d1riYzMtUv9vf3EwgEotaiscbr9ZqG\nN3HAFIwJJF7GN9oFR/RUzsg6RtHnAuj1MG1tbVI4Udrtdr3FhmaOIQs2m42FCxcC4TpN0QxwrlUs\naiiKwqxZs7jhhhuwWq309vayadMm4bMWTKLxer1s375dr22bNm0ay5YtuyqjChlE49DQEEePHgXC\nbTRk60na3NyMqqpkZGQIL0g0NLdXGepMZapf1AIVubm5WK1WQ45x+PBh/H4/TqeT6upqQ45hYgrG\nhBNPwdjd3S18qqA2FxnaN+Tl5eF0OgmFQrS2tiZ6ODFB263u7u4WbpF4JfLy8pg6dSoAhw4dEibC\nNlGxGElJSQmrVq3C6XTi8XjYvHmzbgpiIjatra28/vrrdHV1YbFYWLRoEXPmzLmmyJrIolFVVT3t\nOisrS09Hl4VQKKRvCFRWVkoROR0eHtaFyeTJkxM8momjGYzJUL8Yj9Rabf28YMEC0/DGQMQ+EyUg\nXsY3VquVYDAofERAq03o7e0VZsF+KRRFobS0FLiwOyo6GRkZepr16dOnEzya2DNr1iw9NfXgwYNJ\nn5oaS7GokZWVxZo1a8jPz0dVVU6cOKEbo5iIh8/nY+/evezatQuv14vT6WTlypV6tsC1IqpobGxs\npLu7G0VRWLRokfAL9tGcO3cOj8eDzWab8GecLGj3z6ysLDIyMhI8momjpdeKXosZCoV0IW9kJNus\nX4wPcl0JBUQ7wRsaGgxLs7RardLUMaanp5OWlgbI0ZJCu2F3dnYyMjKS4NHEhmnTpgHhm/jw8HCC\nRxNbbDab3g6nra0tqVNTjRCLGg6Hg9raWubPn4/VaqW/v5+NGzea0UbBaG1t5bXXXtMX3BUVFaxb\nty6m54lIonFoaIhjx44B4c0h2VJRVVXl1KlTQPizliEao6qqfv7KIICHh4f1zTfR3V7jUb8IsGvX\nLsAUjEZjCsYEU1ZWpltab9682bDjyFT7pzk2ymCskpmZqS9Kkll8XA0FBQVkZWWhqir19fWJHk7M\nyc3NTfrUVCPFooaiKFRWVrJu3Toz2igYY0UVV6xYwYIFC2LeWFsU0RiZipqdna1vfMlEW1sbAwMD\nWCwW/RomOm63m4GBAQA9Y0dktHVNVlaW8O618ahf7Onp4dChQwCsWrXKkGOYhDEFY4JRFIW1a9cC\nsHHjRsOOI1Mdo7br1tnZKYW9v1ZzIUtaqqIoemPvM2fO4PV6Ezyi2FNdXU16enpSpqbGQyxGkpaW\nRm1tLfPmzdOjjZs2baKurk74a42MtLW1RUUVp0yZwrp16y7bMmOiiCAatVRUi8XCwoULpUtFjYwu\nlpeXk5qamuARxQbtPC4oKJBiTjL1koxH/eKWLVtQVZXS0lJpNkGSFbmuiIISD8EoUx1jTk4Odrud\nYDAohfmNJhj7+/ulicxMmjSJ9PR0gsGgdI6pEE7z1lxT29rakkbsx1ssaiiKQlVVFevWrSMvL49Q\nKMTx48fZtGkTHR0dSSWor1cGBgbYtWsXO3fujIoq1tTUxDyqOBbJLBojU1FldEWF8GZxb28viqJI\nEz2NTEeVwezG7/frIkt0wRiv+kVt3bx27VopDJySGVMwJgGaYDx8+LBhAshqteoLR9HTUi0Wi14M\nLkNaqtPp1C+oySI8JoqiKLq7YENDgxRtQ0aTm5urL7wOHz6c8NTURInFSNLS0li5cqUebXS73Wzf\nvp1t27bpzZtN4svIyAgHDhzg9ddf192Y4xFVHItkFI3XQyoqQF1dHRBO29R8AESnq6sLj8eD1WrV\nS1VERttcS01NFb6dRrzqFyMFo4mxmIIxCaioqIhLHaOWFiC68Q0Q1fRehuhFZFqqDPOB8JycTieB\nQEC3cZeNWbNmJUVqajKIRQ0t2rhhwwb9utbV1cXmzZvZtWuXXm9kYiw+n4+jR4/yyiuv6H338vLy\nWLVqVdyiimORbKKxoaFB6lRUgL6+Pn0zWqY2IdoGa3FxccLO51gSmY4qerQsXvWLBw8eBEzBGA/k\nuzIKiKIorFu3DjDrGMdLYWEhiqLg9XqFT7GFcH87i8XCyMgIPT09iR5OTIg0Vjh9+rQU9aajSYbU\n1GQSi5E4nU4WLlzIunXr9A0erdffgQMHpHEFTjaCwSCnTp3ilVdeob6+nlAoRGZmJsuXL2flypVJ\ncW4ki2gcHBzk+PHjgLypqHAhulhcXCzNHIPBIOfPnwfkSEcNhUK687vo6ahwIZPNyHRUrX5x8uTJ\nZv1iHDAFY5IQjzrGnJwcaeoY7Xa7fiGSIS3VbrfrabYtLS0JHk3smDJlCikpKXi9Xs6cOZPo4RhC\nZGrqoUOH4lqHmqxiMZLMzEyWLVvGqlWryMvLQ1VVmpubeeWVVzh69KiUpkiJIBgM0tTUxCuvvMKx\nY8fw+/24XC4WLVrE2rVrKSoqSqqoRaJFYyAQYM+ePdKnog4MDOipyDJFF9va2ggEAqSkpMQ9tdoI\nenp68Pv9WK1WQ0VWPIisXzTS8Ob1118HzPrFeGEKxiRBE4xHjhwxrI7RYrFIU8cI0WmpMqD1kDp3\n7hyBQCDBo4kNNpuNqqoqILzLLcu8RjNr1iyysrIIBALs2rULn89n+DFFEIuR5ObmsnLlSpYvX05m\nZiahUIj6+npeeukl9u3bl/BaNlHxeDwcP36cl156iYMHD+LxeEhJSWHevHls2LCBsrKypF1MJUo0\nanWL/f39em9VGVNRAU6cOAGEIz3JfH24Wpqbm4FwTaYMn522jikoKDAshTNemPWLciL+t0wSKioq\nmDJlChCfOkaZBKPb7ZaiQXxRUREOh4NAICBNT0aAqqoqUlJS8Hg8NDY2Jno4hmC1Wlm2bBkOh4Oh\noSF2795taNq3aGJRQ1EUioqKWLt2LYsWLSI9PZ1QKERLSwsbN27kjTfe4Pz588KnzBuNqqr09PSw\nd+9eXnrpJerq6vD5fKSkpDBr1ixuuukmqqqqhFhIJ0I01tXV6emMS5YsISMjw9DjJYre3l59ntXV\n1QkeTewYGhrSN9a1dZPoyNhOI179F03BGB+S/25yHRHPfow9PT3CL8pcLpdejyFDlNFiseg3P5lM\nYux2OzNnzgTg1KlTcYm+JQKn08nSpUuxWCx0dXVx9OhRQ44jqliMRFEUysrKWL9+PStWrNDTsbu7\nu9m9ezcvvfQSR48eZXBwMMEjTS58Ph+nT5/m9ddfZ8uWLbpJVmZmJjU1Ndx8883MnDlTOAOQeIrG\n8+fP61G3OXPm6OeebKiqqrcKKS4uFu4acTm0+2NOTo7wbqIQThseGhoC5BCM8WinsXnzZr1+Ucti\nMjEWUzAmEZpg1PKyjSCyjlEGm3vZ0lI1wdjX1yd8nWkkFRUVuFwu/H6/3jxaRnJzc1mwYAEQdl/U\n0qZihQxiMRJFUSgsLGT58uVs2LCByspKbDYbXq+X+vp6Xn31Vd544w0aGhqkyCK4Fvx+P+fOnWPP\nnj28+OKLHDlyhIGBARRFYdKkSdTW1rJ27VqmTJkidCpbPESj2+1m3759ANIbZXR2duqRHpmii6FQ\nSK+Hr6ioSOxgYoS2fsnJycHhcCR4NBMjGAzq552R9Ytm/8X4Y0v0AEwuoAnGo0eP0tHRYUght8Vi\noaCggLa2Ntra2gz9QseD4uJi6urq6Orqwuv1Cn+xdblcFBUV0d7eTlNTEzU1NYkeUkywWCzMmjWL\nffv20dDQQFVVFU6nM9HDMoTy8nLcbjenT5/m4MGDpKenx+R7JptYHE16ejrz589n9uzZnD9/nubm\nZnp6euju7qa7u5vDhw+TmZlJcXExxcXFZGdnS7tQGBoa0q/R3d3dUe1a0tLSKC8vp7y8nNTU1ASO\nMvZoonHr1q0MDAywdetWVq5cGZMoktfrZefOnbrJTU1NjbTnT2R0sby8XBpnVAg7Lft8Pux2O6Wl\npYkeTkzQ0oZl6CXZ3d1NMBjEZrMZen8y6xfjjxlhTCLiVccoU1QuOzubtLQ0VFXVL7qio+2anj17\nVqqG95MnT9bNTk6ePJno4RjK7NmzKSwsRFVVdu3aNeHomOxiMRKbzUZ5eTmrVq1i/fr1zJgxQ1/w\nut1u6urq2Lx5My+++CIHDhygra1N+JYtWk3isWPHeO2113jllVc4cuQIXV1deiPviooKamtr2bBh\nAzNmzJBOLGoYEWkMhULs3r2b4eFhUlNTWbp0qdDR2Ctx/vx5+vv7sVgsejmALGjpqGVlZVJ8hgMD\nA3o2kQwCWFtXFhUVGVZDbdYvJgYzwphkrFu3jl/+8pds3LiRd7zjHYYcQ6vZGBwcZHBwkPT0dEOO\nEw8URWHy5MmcPHmSlpYWKisrEz2kCVNUVITT6WRkZIQzZ85IkzalKAqzZ89mx44d+rxkNZuwWCws\nWbKETZs2MTQ0xK5du7jxxhux2a7+kns9icXRZGRkUF1dTXV1NcPDw3rUTcsoaG5uprm5GavVSnZ2\ntv5fVlYW6enpSRtB8ng8etp5f38/vb29F7UXycrK0qOpWVlZSTsXI4h1pPHw4cN0d3djsVhYunSp\ntNkNEBbHWm/JyspKXC5XgkcUO9xut57uKEs6qta7Ny8vT/jPSlXVuJj3aPWLZWVlZv1iHDEFY5Kx\ndu1aXTAaRWpqKjk5OfT29tLW1iZ8/ylNMPb29jI0NERaWlqihzQhFEWhsrKSY8eO0djYSFVVlTSL\nxcLCQvLy8uju7ub48eMsXbo00UMyDLvdzrJly9i8eTP9/f3s37+fJUuWXNVneT2LxdG4XC6qqqqo\nqqrC7/fT2dlJa2srHR0d+Hw+PXVVw2azkZWVpQvI7OzsuItIVVV1cdjf36+LxLF6T1osFvLz83WR\nKLOoGQ+xEo2NjY16VKqmpsZQm/9koLm5maGhIWw2GzNmzEj0cGKK5rJdUFAgxWajqqq6YJw8eXKC\nRzNx3G43IyMjem26UZj1i4nBFIxJxpo1awBj6xghHMWSRTCmp6frAvjs2bNSpOBMmTKFEydOMDQ0\nREdHhzROflqUccuWLbS2ttLd3S18He3lyMjIYMmSJezYsYPz589TV1c37vPTFIuXxm63U1JSQklJ\nCaFQiL6+Pnp7e3VRNjAwQCAQuEhEWiwWHA4HqamppKamRv078nc2mw1FUS5KqVJVlVAopP/n9Xrx\neDz6f6N/9ng8l0yXdTqdUWI2Ly/vmiLQMjNR0djZ2cnhw4cBmDZtmt7rVlb8fr+e7j9t2jRSUlIS\nPKLY4ff7aWlpAZAmqtTb28vw8DCKolBSUpLo4UwYLbqYl5dn6Lln1i8mBvPulGRUVFRQUVFBU1MT\nmzZt4t577zXkOJMmTeLEiRP09PTo/btEZvLkybpgnDFjhvC7TikpKUyePJkzZ87Q2NgojWCEsJN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6iqSlpa2ph9UGPFli1baGlpweFwcM899xh2HJPxYwpGgXjggQeAsGA0MrVSS0ttb2+XJt1N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HZWUljY2N6mPOfIEm7EcCozhZrnYDq6amhptuuolPPvkEGPm7PPPMM7KqKIQbkMAohFAZ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\nGIUQbqm5uZnXX3+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          }
        }
      ],
      "source": [
        "P0 = np.array(sim_data_antenna[\"power\"].flux)  # total radiated power of the antenna\n",
        "\n",
        "# angular radiated power of the antenna\n",
        "# by default, the power is calculated at 1 meter away from the antenna.\n",
        "# The 1e12 factor normalizes the power to unit distance (1 um)\n",
        "P_e = np.squeeze(\n",
        "    1e12 * sim_data_antenna[\"n2f_monitor\"].power.sel(f=freq0, phi=0, method=\"nearest\").values\n",
        ")\n",
        "D_e = 4 * np.pi * P_e / P0  # directivity of the antenna\n",
        "\n",
        "P_h = np.squeeze(\n",
        "    1e12\n",
        "    * sim_data_antenna[\"n2f_monitor\"].power.sel(f=freq0, phi=np.pi / 2, method=\"nearest\").values\n",
        ")\n",
        "D_h = 4 * np.pi * P_h / P0  # directivity of the antenna\n",
        "\n",
        "# plot the directivity in the E-plane and H-plane\n",
        "fig, ax = plt.subplots(subplot_kw={\"projection\": \"polar\"})\n",
        "ax.set_theta_direction(-1)\n",
        "ax.set_theta_offset(np.pi / 2.0)\n",
        "ax.plot(theta_array, D_h, c=\"red\", linestyle=\"--\", label=\"H plane\")\n",
        "ax.plot(theta_array, D_e, c=\"blue\", label=\"E plane\")\n",
        "ax.set_rlim(0, 15)\n",
        "ax.set_title(\"Directivity\")\n",
        "ax.legend()\n",
        "plt.show()"
      ],
      "id": "590fbdbe"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The result confirms that the antenna design works well. In the\n",
        "referenced [paper](https://doi.org/10.1364/OE.25.016214), an optical\n",
        "wireless link simulation is performed where two antennas are separated\n",
        "over a long distance. One antenna functions as the transmitter while the\n",
        "other antenna functions as a receiver. The same power budget analysis\n",
        "can also be done via the Friis transmission equation."
      ],
      "id": "0825f74f-8af5-4ff5-bd9c-1c3bba8fcd2d"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}