{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Directional coupler\n",
        "\n",
        "Directional couplers are fundamental components in photonic integrated\n",
        "circuits, enabling efficient splitting and combining of optical signals.\n",
        "By placing two parallel waveguides in close proximity, these passive\n",
        "devices exploit evanescent field coupling to control how light is\n",
        "distributed between channels. It is also possible to control the output\n",
        "by adjusting the relative phase between the inputs, enabling flexible\n",
        "power splitting ratios and switching behavior. Their design and\n",
        "compatibility with silicon-on-insulator technology have made them a\n",
        "popular choice for applications ranging from wavelength-division\n",
        "multiplexing to optical switching and signal processing.\n",
        "\n",
        "An important consideration is how fabrication variations might affect\n",
        "device performance. Hence, one common approach is to sweep over\n",
        "different parameters and see how the quantities of interest behave.\n",
        "\n",
        "In this notebook, we will demonstrate how to set up a simple directional\n",
        "coupler simulation, illustrating the common steps of the workflow:\n",
        "\n",
        "[1](#1). Importing the geometry using\n",
        "[Photonforge](https://www.flexcompute.com/photonforge/landing-page/).\n",
        "For the process of this geometry, please follow the steps presented in\n",
        "[this](https://www.flexcompute.com/tidy3d/examples/notebooks/GDSCreation)\n",
        "example.\n",
        "\n",
        "[2](#2). Placing the\n",
        "[ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html)\n",
        "and\n",
        "[ModeMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n",
        "to excite the first TE mode and analyze the transmittance and losses on\n",
        "both arms\n",
        "\n",
        "[3](#3). Carry out the post-process analysis to find the 50/50 splitting\n",
        "frequency and efficiency.\n",
        "\n",
        "[4](#4). Create a parametric sweep over different values of the sidewall\n",
        "angle and its effect on the splitting frequency and efficiency, and\n",
        "create a\n",
        "[Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html)\n",
        "object to run in parallel.\n",
        "\n",
        "[5](#5). Use the `Simulation.updated_copy` method to easily create a\n",
        "simulation with two sources at the input ports with a $\\pi$/2 phase\n",
        "difference.\n",
        "\n",
        "<img src=\"img/DirectionalCoupler.png\" alt=\"Schematic of the directional coupler\" width=\"500\"/>\n",
        "\n",
        "For instructions on how to calculate the full S-matrix, please refer to\n",
        "our\n",
        "[SMatrix](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.smatrix.Port.html)\n",
        "tutorial. Additionally, if you are new to the finite-difference\n",
        "time-domain (FDTD) method, we highly recommend going through our\n",
        "[FDTD101](https://www.flexcompute.com/fdtd101/) tutorials.\n",
        "\n",
        "First, we import the relevant packages. We will use\n",
        "[Photonforge](https://www.flexcompute.com/photonforge/) for importing\n",
        "the geometry. To install it, uncomment the `!pip install photonforge`\n",
        "line."
      ],
      "id": "49552886-82c0-4851-826e-7d182f17f9db"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# install photonforge\n",
        "# !pip install photonforge\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import photonforge as pf\n",
        "import tidy3d as td\n",
        "from tidy3d import web"
      ],
      "id": "00e89f72"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Importing the Geometry <a name=\"1\"></a>\n",
        "\n",
        "We will use Photonforge to load the GDS file and extract polygon\n",
        "vertices, which are then extruded along the z-direction (`axis=2`) into\n",
        "[`PolySlab`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PolySlab.html)\n",
        "geometries with a given sidewall angle. For detailed instructions,\n",
        "please refer to\n",
        "[this](https://www.flexcompute.com/tidy3d/examples/notebooks/GDSImport)\n",
        "tutorial."
      ],
      "id": "cfd433df-542f-48cb-9879-17001e321a73"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "gds_path = \"misc/coupler.gds\"\n",
        "\n",
        "components = pf.load_layout(gds_path)\n",
        "top_level = pf.find_top_level(*components.values())[0]\n",
        "structures_dict = top_level.get_structures()\n",
        "\n",
        "# Define waveguide height and fabrication parameters\n",
        "wg_height = 0.22\n",
        "dilation = 0.02\n",
        "sidewall_angle = np.pi / 6\n",
        "reference_plane = \"bottom\"\n",
        "\n",
        "substrate_geo = td.GeometryGroup(\n",
        "    geometries=[\n",
        "        td.PolySlab(vertices=p.to_polygon().vertices, axis=2, slab_bounds=(-4, 0))\n",
        "        for p in structures_dict.get((0, 0), [])\n",
        "    ]\n",
        ")\n",
        "\n",
        "arms_geo = td.GeometryGroup(\n",
        "    geometries=[\n",
        "        td.PolySlab(\n",
        "            vertices=p.to_polygon().vertices,\n",
        "            axis=2,\n",
        "            slab_bounds=(0, wg_height),\n",
        "            sidewall_angle=sidewall_angle,\n",
        "            dilation=dilation,\n",
        "            reference_plane=reference_plane,\n",
        "        )\n",
        "        for p in structures_dict.get((1, 0), [])\n",
        "    ]\n",
        ")"
      ],
      "id": "f696e591"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Set up Structures\n",
        "\n",
        "Next, we assign material properties to the imported geometries and\n",
        "create the\n",
        "[`td.Structures`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/structures.html)\n",
        "with each of those material properties."
      ],
      "id": "748acc82-3c6d-4a7d-b77c-5139c4589a81"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Permittivity of waveguide and substrate\n",
        "wg_n = 3.48\n",
        "sub_n = 1.45\n",
        "medium_wg = td.Medium(permittivity=wg_n**2)\n",
        "medium_sub = td.Medium(permittivity=sub_n**2)\n",
        "\n",
        "# Substrate\n",
        "substrate = td.Structure(geometry=substrate_geo, medium=medium_sub)\n",
        "\n",
        "# Waveguides\n",
        "arms = td.Structure(geometry=arms_geo, medium=medium_wg)\n",
        "\n",
        "structures = [substrate, arms]"
      ],
      "id": "6847bb6d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Set up Simulation <a name=\"2\"></a>\n",
        "\n",
        "Now we set up the simulation. First, we define the wavelength of\n",
        "interest and set the runtime."
      ],
      "id": "a3e4a6e3-88ec-4014-9940-76149e8381a1"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Wavelength range\n",
        "wl1 = 1.4\n",
        "wl2 = 1.7\n",
        "\n",
        "# Transforming in frequency\n",
        "f1 = td.C_0 / wl2\n",
        "f2 = td.C_0 / wl1\n",
        "\n",
        "fwidth = (f2 - f1) / 2\n",
        "freq0 = f1 + fwidth\n",
        "wl0 = td.C_0 / freq0\n",
        "\n",
        "# Frequencies to analyze\n",
        "num_freqs = 21\n",
        "freqs = [freq0] if num_freqs == 1 else np.linspace(freq0 - fwidth, freq0 + fwidth, num_freqs)"
      ],
      "id": "c0a6bcba"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now, we add the\n",
        "[ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html),\n",
        "which excites the first order TE mode (`mode_index = 0`). To analyze the\n",
        "transmittance, we will place\n",
        "[ModeMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n",
        "at the end of both output arms. These monitors will carry out mode\n",
        "decomposition and analyze the fraction of power transmitted in each\n",
        "mode. Since we are only interested in the first order TE mode, the\n",
        "number of modes analyzed can be just 1.\n",
        "\n",
        "We will also add a\n",
        "[FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html)\n",
        "to visualize the field profile in the xy-plane."
      ],
      "id": "00d1ed34-9dc9-45d3-8804-228eefebbfcf"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Source\n",
        "source_time = td.GaussianPulse(freq0=freq0, fwidth=fwidth)\n",
        "source = td.ModeSource(\n",
        "    center=(-8, -2, 0), size=(0, 2, 1), source_time=source_time, mode_index=0, direction=\"+\"\n",
        ")\n",
        "\n",
        "# Field monitor\n",
        "field_mon = td.FieldMonitor(\n",
        "    name=\"field_mon\",\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, wg_height / 2),\n",
        "    freqs=freqs,\n",
        ")\n",
        "\n",
        "# Mode monitor\n",
        "mode_spec = td.ModeSpec(num_modes=1)\n",
        "mode_mon_up = td.ModeMonitor(\n",
        "    center=(8, 2, 0), size=(0, 2, 1), freqs=freqs, name=\"mode_mon_up\", mode_spec=mode_spec\n",
        ")\n",
        "\n",
        "mode_mon_down = td.ModeMonitor(\n",
        "    center=(8, -2, 0), size=mode_mon_up.size, freqs=freqs, name=\"mode_mon_down\", mode_spec=mode_spec\n",
        ")"
      ],
      "id": "8efe79b6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, we define the grid with our\n",
        "[AutoGrid](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.AutoGrid.html)\n",
        "object, which automatically creates a non-uniform mesh, and place\n",
        "everything together in the\n",
        "[Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html)\n",
        "object."
      ],
      "id": "ebb8e4b1-9d36-48cd-8e2d-9c256de17a40"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "# GridSpec\n",
        "min_steps_per_wvl = 15\n",
        "grid_spec = td.GridSpec.auto(min_steps_per_wvl=min_steps_per_wvl)\n",
        "\n",
        "# Simulation size\n",
        "sim_size = (17, 7, wg_height + 2)\n",
        "sim_center = list(arms_geo.bounding_box.center)\n",
        "sim_center[2] = 0\n",
        "\n",
        "# ## Initialize and visualize simulation ###\n",
        "sim = td.Simulation(\n",
        "    size=sim_size,\n",
        "    center=sim_center,\n",
        "    grid_spec=grid_spec,\n",
        "    structures=structures,\n",
        "    run_time=5e-12,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        "    sources=[source],\n",
        "    monitors=[field_mon, mode_mon_up, mode_mon_down],\n",
        ")"
      ],
      "id": "f7e76dca"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Plot Simulation Geometry\n",
        "\n",
        "It is a good practice to check the simulation and see if everything is\n",
        "correctly set. That can be easily achieved with the `Simulation.plot`\n",
        "method:"
      ],
      "id": "e5c638fd-5279-4241-82cc-cce87ef59124"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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          }
        }
      ],
      "source": [
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(17, 5))\n",
        "\n",
        "sim.plot(z=wg_height / 2, lw=1, ax=ax1)\n",
        "sim.plot(x=0.1, lw=1, ax=ax2)\n",
        "\n",
        "ax2.set_xlim([-3, 3])\n",
        "_ = ax2.set_ylim([-1, 1])\n",
        "\n",
        "plt.show()"
      ],
      "id": "2e47b86b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We can also see the 3D model."
      ],
      "id": "141c5b11-415a-466e-a02b-5a41983d415f"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "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.plot_3d()"
      ],
      "id": "b3bf7c50"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Before running the simulation, we can check the **maximum** possible\n",
        "Flexcredit cost. If the field decays before the runtime, the simulation\n",
        "will auto shut-off and we will only be billed for the Flexcredits of the\n",
        "effective runtime."
      ],
      "id": "7a44769d-5a97-4d7a-8741-b8b7e993856d"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "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\">03:50:10 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'directional coupler'</span> with resource_id                \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-73e668a7-066c-49d6-923e-a0e358bb025c'</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-73e668a7-066c-49d6-923e-a0e358bb025c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-73e668a7-066</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-73e668a7-066c-49d6-923e-a0e358bb025c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">c-49d6-923e-a0e358bb025c'</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\":\"d90c1505d3214015a28d203da64653ec\",\"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\">03:50:11 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.240</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\">03:50:12 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.240</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": [
        "# Estimating the cost\n",
        "task_id = web.upload(sim, \"directional coupler\")\n",
        "cost = web.estimate_cost(task_id)"
      ],
      "id": "cbb62b51"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, we can run the simulation and analyze the data."
      ],
      "id": "a60ca60e-8ff6-468a-8273-e3b2838a96b4"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "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\">             </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'directional coupler'</span> with resource_id                \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-957c384d-86ce-475e-8209-4a302d6fc8a4'</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-957c384d-86ce-475e-8209-4a302d6fc8a4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-957c384d-86c</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-957c384d-86ce-475e-8209-4a302d6fc8a4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">e-475e-8209-4a302d6fc8a4'</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\":\"e9245107af1a4b09849391a32e2d2750\",\"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\">03:50:14 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.240</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\">03:50:15 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\":\"0f00955b65a24e65bb27abe61369d8c7\",\"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\">03:51:07 UTC </span>Loading results from simulation_data.hdf5                          \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\">03:51:08 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = web.run(sim, \"directional coupler\")"
      ],
      "id": "f4a0d446"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Postprocessing <a name=\"3\"></a>\n",
        "\n",
        "Now we would like to analyze the output of each arm as a function of\n",
        "wavelength, and find the frequency where the fields are equally\n",
        "distributed, and the losses.\n",
        "\n",
        "The monitor decomposes the fields into mode components, and since the\n",
        "source is\n",
        "[normalized](https://docs.flexcompute.com/projects/tidy3d/en/latest/faq/docs/faq/How-are-results-normalized.html),\n",
        "the transmittance of each component is simply $\\text{|amplitude|}^2$.\n",
        "\n",
        "For finding the point where the amplitudes of each arm are the same, we\n",
        "will just look at the signal change of the difference between both\n",
        "signals, which is the crossing point. For better resolution, we will\n",
        "interpolate the data."
      ],
      "id": "e5c6394e-9493-49a6-bbbf-6c303ecb3ea4"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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FalT3wRrXa6jG9BisJiGNnFwpgLpEgFbPfPLJJ/avhw8fXoeVAABgQl4+pbPH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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Crossing wavelength :1.53\n",
            "Total transmittance: 0.9900"
          ]
        }
      ],
      "source": [
        "from scipy.interpolate import interp1d\n",
        "\n",
        "\n",
        "def postprocess(sim_data, plot=True):\n",
        "    transmission_up = sim_data[\"mode_mon_up\"].amps.sel(mode_index=0, direction=\"+\").abs ** 2\n",
        "    transmission_down = sim_data[\"mode_mon_down\"].amps.sel(mode_index=0, direction=\"+\").abs ** 2\n",
        "    freqs = transmission_up.f.values\n",
        "\n",
        "    diff = (transmission_up - transmission_down).values\n",
        "\n",
        "    # Interpolate difference to find zero crossing (sign change)\n",
        "    sign_change = np.where(np.diff(np.sign(diff)))[0]\n",
        "    if len(sign_change) == 0:\n",
        "        crossing_freq = freqs[np.argmin(abs(diff))]\n",
        "        print(\"No sign change found, showing closest point only.\")\n",
        "    else:\n",
        "        i = sign_change[0]\n",
        "        f_interp = interp1d(diff[i : i + 2], freqs[i : i + 2])\n",
        "        crossing_freq = f_interp(0)\n",
        "    amp_crossing = np.interp(crossing_freq, freqs, transmission_up)\n",
        "    if plot:\n",
        "        fig, ax = plt.subplots()\n",
        "\n",
        "        wavelengths = td.C_0 / freqs\n",
        "        ax.plot(wavelengths, 10 * np.log10(transmission_up), label=\"port 3\")\n",
        "        ax.plot(wavelengths, 10 * np.log10(transmission_down), label=\"port 4\")\n",
        "\n",
        "        ax.plot([td.C_0 / crossing_freq], [10 * np.log10(amp_crossing)], \"*\", color=\"black\")\n",
        "\n",
        "        ax.set_ylabel(\"Transmittance\")\n",
        "        ax.set_xlabel(\"Wavelength (µm)\")\n",
        "        ax.hlines(-3.01, 1, 1.6, colors=\"gray\", linestyles=\"dashed\")\n",
        "        ax.set_xlim(1.4, 1.6)\n",
        "        ax.set_ylim(-15, 0)\n",
        "        ax.legend()\n",
        "\n",
        "        plt.show()\n",
        "    return float(crossing_freq), 2 * amp_crossing\n",
        "\n",
        "\n",
        "cross_freq, total_transmittance = postprocess(sim_data)\n",
        "\n",
        "print(f\"Crossing wavelength :{td.C_0 / cross_freq:.2f}\")\n",
        "print(f\"Total transmittance: {total_transmittance:.4f}\")"
      ],
      "id": "d653cf67"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now, we can easily plot the E field with the `SimulationData.plot_field`\n",
        "method. As we can see, the input field is equally split over the two\n",
        "output arms."
      ],
      "id": "1bf1beb3-4710-4e1a-b3df-22d143947498"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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6etTV1UU5MgAAAJBkGHbQzxuQ4UuU\nAYcCKqwKJ5Sq0exdmUtFMk2kQWBwmO644w5ne7jrC7777ruSpOnTp8vrzbwK7MyZM/sdk8sxxh6/\nYIcnm+vW/xO2YDCoYDCo2toa57F4PK729g51dHSovb3d6WadtVEqO+77CTgZhAAAoNgNmik43CYj\ngzYXGXqWoLtU2Eik1HkTda4ejztL0O887jNCTkmwzwi6uggHnezAoBVUMNFcJGgkG4d4FfImswQN\nlSU61ZZ7pbJEyXCFz3KyAyu8pip99r1uVSIzsMofHTQz0BPsvVSGz1C8S3YHYF/I7iQSDMny23M2\nvL3BDct0fWvcl91n9xLpvd5G6j4e9R6YoWtw6upKA2f+pXyb+/6s5CJLMDn+aCfqJb8HpqRg4nvj\ns//2GZY8Kf9OyBoExhKBwWFYunSprrvuOkl2wO2ggw4a1jgbN26UJDU2Ng64n/v55DG5HGMwLS0t\nGZ9rbW0d0lgoDF6vV7W1NU6wcMSBQgAAAKBQGYYUDEnlZTIqg1IgIJmG0wyEbqoAShmBwSHq7OzU\nkUceqZ6eHhmGod/+9rcKBALDHkvSgN1pJamsrHctuY6OjpyPMZj6+voh7Y98Gl5WYU4ChX0/scxx\nBiHZgwAAoNgMmC2YxXqC/cYYMEswtXqof2OR3m1PItvPnTE40BqC9mO9awZ6XM1Egirv3TZDClrJ\nx/1OdmDI61MosW6ge/3AULJZiM9QZSJ7rMJnqSqZGeiPqybRLKTaH1Fl0G4SUpfMDKyOyFeRJjPQ\n75GpoBQsk3whWb6AnSWoxGVK3lYmzp9cb9AwpMTLtre9fbIBk5fdnRHo6d0/cXHc34TezYHWFUz3\nWNq1BrPMEDT73Ddnc9xYFXV5JMXs+RiGmfh7jM5dhCxLsqwiuUDFMk/0Q2BwCOLxuI4//ngtWbJE\nkrRw4UJ95StfGfG4gzWHcD9vZPhfMxdjoFRk+q3fGzAclUChNKJgIc1KAADAFqPffdLQA4KZmouk\nCwZ6PL6Ux3sDg96sSoUlyadgSjORoOzEg6AVVMiy9ykzfAp57eNCXo9THhzyGqpIBNzKvO4yYfte\nrsoXV02iEUWNP6bqgB0ArAn1qK6+S5IUqIjLG0xcDl/v31bMvp6WNygrUCYjFJIVDChTb93kZfN4\n5QrquQKAXlfQL8mTofzXMHq/NUb6gOCQAm6uAN5Q37OlvB/MNoCYD32DliqeNfSALRWBwSxZlqVT\nTz1VDz74oCRpwYIFuuyyy0Y0ZlVVlVpaWgYNsrifr6qqyvkYg9m0aVPG51pbWzVr1qwhjYfiQ+kx\nAAAACoZhSIGgVFEmwxfqLQ0mwAQAQ0ZgMEvf+973dMstt0iSDj30UN1yyy0jzrxrbGzUihUrtG7d\nugH3W7t2bcoxuR5jMHV1dUPaf3DJzDSakBSW7MuQ0wUK29ra1dLSos2bN2fOYM1xuTGlxgAAoBBl\nLCEepHx4JFmCvc+lLxn2OJmBvdmAHsOfVamwZGcMBs1EZqAVcpqJlHv8CiUyA8t8HlU421JFoolI\nld9Shbc3O1CSavxxVScah9QGw6oOhSVJdQ1d8lfa95y+it5Xa8Z9Mo1yqbxcnlAwkSWYuEzJtxfJ\nRD53ia+3T0agO8Mv9ZLZ3x5XNmBSxjJg9xhJHiPt+8TBKrx6h87+PWbKmGky8YZsrNZajNsnskz7\ntVoylBrVTV7U+BhNqJAZMs0CzgB1MSklLloEBrNw/vnn65prrpEkHXDAAbrnnnvk84380m2zzTb6\n17/+pRUrVigSiWRcq/DDDz9MOSbXYwDZSx889Ho9qqurVV1drSzL0ubNbWptbVVra6tMc4A7jByW\nG1NqDAAACkH2QcEMAUEpNbKl9J2G+wYDe9cKzD4Y6PMEsyoVlqSQFVKZkSwT9jllwhU+jyr8yfJg\nQ1WJ8uBqv+WUB1f7Y6pxgoB2mXBVKKy6xkSZcJUpT3LJdE+iPFhSLOyXUV4ulVfICAb63YkaHldZ\ncZYBwJS1ABNfpJQDDxaYS4nXZij9dZfyJgJ2hmH0BvIGCOJlff/qvsXOdP+cxX31oI1XRqHO14rY\nY8Zj9sWMmZLJfTuQN6RsDeLSSy/VpZdeKknaZ599dP/99w+72Uhfu+22myQpGo3qX//6V8b9Xnzx\nRWd71113zfkYQC4ZhqHa2hrNmDFdO+64g+bMmaNx48bJ6/UOfjAAAABKmz8gVdfKmDBZnomTZdTU\nyfDn5v0XAKA/MgYHcM011+j888+XJO21117629/+ltLdd6QOO+wwnX322ZKku+66S3vuuWe/fSzL\n0t133y1J2nHHHTVz5sycjwHkRt/PGUwZhqHq6ipVV1dp+vRpam/vUEtLi1pbWxWLxdIP4/60lVJj\nAABQBLLvPpyhyUi/WlVPSpZg71C9WYDufVKyAzNkCXo9duaf1/A5WYJ+lcmf2A5YZU6pcNAKqkx2\nMC7kscco93lTsgQrE81EqvxSdWK7xhdXbcC+x6sPRJzswOryHtU12NmB/spEF+Hy3ldrKSjTXy6V\nVUgen91URIluwe5EvGTHYHe3YHezENdlzKpZiLfP9y1XTTtcGYEpWYKm86BcOww4VL+MviGUD6cd\nuu946TIGR7kbiBm2x49F7Z/tmNWbTWmQu5TCUhE1ZymWeaIfAoMZ/PGPf9T3vvc9SXaG3aOPPqrK\nysohjdHe3q54PC7DMFRTU9Pv+alTp+qII47Qfffdp5tuuknf+ta3+pX5XnfddU4Z8DnnnDMqY4wp\ny3L9lh6rRSzGCr/EUvW/HlVVlaqqqtS0aVPV0dGp1tZWtbS0KBqNph9iFEuNCRQCAICRGjAgKGUM\nCvZfSzD1vskO+HmdbXdHYSNNqbC9bUfNfB47oNc3GOg3XGsFJtYNDKhMZWayZDigciMRDOxTKixJ\nFX5Dla41A2v99r1UjT+u+oB9L1cfDKu+3G5KVz++S4Eq+37fKROWZNqxQsVjISlklwl7At6UK5kM\n3hl+V4mu13U9k+XDQ10T0L3t6T0207p+Q1nDL+XeMk0A0IpbvV+nBA6V+rZosEBdSgnxIHN2M937\nDHy+QcuLR8i0l5NUOGx/I8OmoTj35kDeEBhM4+6779bpp58uy7K01VZb6e6775ZpmmptbU27v9/v\nV0VFRb/Hd911V7333nuqqanJeOyvfvUrPfPMM2ptbdW+++6rX//619pnn33U2dmp//3f/3XKmD/z\nmc/ohBNOGLUxgLFWWVmhysoKTZkyWZ2dXU6QMBKJ5HtqAAAAGA3BkIyKCjszUJ4tL08AAIoQgcE0\nbrjhBqdhwnvvvadZs2YNuP9+++2np556aljnmj17th566CEdeeSRWrdunRYsWNBvnz322EMPPPCA\nPJ70GWm5GGO0JT//2bL7FI30zqYUMg77lxtLUkVFuSoqyjV58iR1d3erpcUOEobD4f5D5KizMWXG\nAABguLIvHZYG7zrcv2y4b5ZgcgyPx+c87vH4nCxBr+FzsgPdjUXSZQmGVOE0FCm3yhQykqXCPlX4\n05cKS3a5cE2io3B9IKb6RJlwfVm36qrsLMGqCWH5axKdZmOWYp2Syspl+srlqSiXPJ7eZiH2xJxL\nYSQqpg2v0fumwdvbOMTwqjfDz+vKEhxCF193lqB9+ADdg92lv/YTqX8nH05X6pvICEzJBjQlxZNj\npJ7Pirv26TOu4elzDvc00r39cDdYydTkus/+fc+NAmJJVpF0+y2akmf0Q2AwjcrKyrSlvwPtn051\ndbVqamoGHeuzn/2s3nrrLV1//fV65JFH9MknnygYDGrevHk65phj9I1vfGPQxg25GGOkli//yHVT\nk569hkr+/2MzDEOGYcjj8cjj8aRsD/a1YSjtcyM3lN/GW0oQsf/rKCsrU1lZmSZNmqj29g41Nzdn\nzLiVlJNAIUFCAACQrey7Dkv9goIp98ruwJ/XtZ3sOJyuu3BqMNCTWP/PawTlSwQG3esHuoOBoUTJ\ncJmCKk8s1lfh9zmlwpV+Q1WJ7sJ2R2H7nqjWnwwGRjUuZH9oW1/erXFNnfZ5ai15yhLBwLAUbbEk\nr1cqr5IxoUryehNBvcR1SAYA3WXCGdYKdJcK2wHDZFlxct8B3ldkKv11l/H2ve8zlRIAtOK9QcK0\n5bfu/V3PWclzmK6nzd4An2Uq5dbfGOBtmhXvc80Sr9kyLVmxZBDSsoOOlml/bSW2lQxQmnbA00w8\nbiXLmi0ZduQpZU6jHeAx7TiyYmvsqrv2NYbWfGL/bH0YWa7OnpWJefRfk9wa7TpnoAQRGExj8eLF\nORnn1VdfzXrfxsZGXXjhhbrwwguHfb5cjDESbW1tGiwnsFACg6PB5/PJ7/fL7/crEAj02baf8/n4\nJzcUyTUJo9GoNm7cpObm5szrEQIAACC/QmUyQlUyyspHfZ26LZZpSvG4FI9J8biseFySvS1vXFJc\nskxZMVMpcbMM2YODcmcMugOeoykRGDQ77ZNH2nvU2WYHBjeH29XZs1lS+sAgHS6A3CNKAeRILBZT\nLBZTd3d3xn0MwxggeOiX3+9TIBDIuAByr2x+WxdrVmH/efv9fjU1TVBT0wRt3tym5ubmRCA6jRF2\nNaZJCQAA6Gs0moz0dhT29ykblgzD52x7DF9KeXCmLEG/Ek1E3I1FLPuxcqusN0vQ51OVvzdLsDqR\nJVgbsFzZgTE1uEqFJam+ukvVE+3HfHUeJ/Bnhr2KRSqlyioZQZ/zij0+OTkDHr+r/DeZHWcYqU1E\nnMvXm0hgeFxPGobkG0KzkKR05cB9ttNmBsaUUvrbW2Isp/Q3U4mv0zzF/S03LBmyA35GLC4rHJcV\nj8mKxSXTFQhMliGnC9J5JI8ru9BJbnRn+6VkKRqux1zbKY1IXJUz5sA/54PdWmeT/2FZvd2IW7rt\nn8/2mEc9lv2zZaYNBgIYTQQGMfaSv1FGK3Mw34sbDPC6LMtSJBJRJBJRZ2dnxv28Xq9TUlteXq6y\nsjKFQsEhlixnCh4WY8Cwd841NbWqqalWJBLRhg0btWHDBsViGW4gKDMGAAAjMKKyYeeL9GsJpisb\nTgb9DHl6A4CeoLxG77bPsIOBfk+5fLK3Q6pUIBEYTBsM9PcGA6v9hqoDiWCg39K4gH0fVR+IqTHU\nI0lqqOhS/fgue+zGRGfhCo+ssH1crMWU6QvJqKySp6FcHldJb+KU/dcK9LkeT1zDtKsQ9e0g7Fy+\nwYJWvWv79SsJdncJTgbe4uq9XXYFAM1Y4vmY0q/n556zqdSyZ8nO+ItFpGhUlhmRwhEpFpUZNp2O\nzCnxyZihWMQexIx7FY/Z27HE39GoT+GoffEica/iieCdKcPV5NiQmbjYliXFrcR4VvLleZxtS0bv\nZbKMlLtbc4zWsgsnXkNz2P5h+aBNavast+dqRsSCh6mKZo3BLbyjwJaMwCBQgOLxuDo6OtTR0ZHy\neDAYdAKGdtCwTIFAIE+zzK9AIKBJkyZq4sQmtbZu1oYNG9Te3p7vaQEAAGy5DEMqr7QDgk4EML9T\nyhvLkhWNyohHZUUiiWBgxM4ATK4J6BMxLgAFj8Ag8iffmX2jJRevK0PWYTgcVjgcTmnG4fF4UoKF\n9p/QAM1mtoRMQncZjqm6ulrV1dUqHA6ruXmDNm7cqHg83v+wHJYZkz0IAMCWaWhlw0lDazLicZUK\n9y0blvpnCSY7DgeMMqfTcMAoV8iymzeUWWUqT2YKZsgSrEl8llwbkBoSWYLjAlFNSJQKN1R3qm6y\nve2vNWQkynbNbkn+oKKxKhnVFXamn2vZcMNjN8Wwt10Zfl6jt6mGx0jtJJz8e0jFMJaTNZi2c7C7\nWchAmYHJQ2NW7xp97tu6xPRSGoRYMVnhiBSJyopG5DHtjEBZUjxNFmA8bL+weNSjcI/9fezu8asr\nYn8TemJeRc1ERqDpUSyR4ReOexRNZIdFE1l1cctI2Y65GhsnM/wspU+WdGcROpXJlvpkCfZuj9Xb\ns2jiPC32soJa2RlRu5rt+ZiRLfd9IlCgCAwChWgIC3iYpqnOzs5+pcl+v98pQy4rK1NlZYX8fv8A\ngw53xeJ8651jMFimKVMma/LkSWppaVVzc3Pmkm2ChAAAQFkEAp0d068j2G8M18JyfTsO964l6Esp\nG/Z67IBRMgvP5wnI6yoZDhh20M9vlCtkVUqSysxyJxhY6Qmowm+PlzkYaH9o2hiMaHwiGNhY06m6\naXb5sK/O09stts2yA2rlFfLWVUuBQEolb8qagX06CjvBQK/HVUXt6VcS7F4nMGVtQHekqu/taTy1\nba7lioJZccteF1DqFwB01t/r87mx87WrAYfHE5EVCcuIRhRvj0iRiMyI5azXF48aioa9kvyKhL3q\n7La/Tx2uoF9P3L4IPXGvUzbbE/cokggGhk3DCY7FXNtxszdoFk8E/WJmb6Vz3Oq960w2H+57mdyP\nuy9jun37rsmYqZFzriVfT0fU/gastVrVbbYk5sAag27uAHChK5aSZ/RHYBDYQkWjUW3evFmbN292\nHgsGg6qsrFRVVZWqqioHCRQWL8MwVF9fp/r6OnV3d6u5eYM2bdok06SWAwAAYEA+v4y6ahnBCjug\nt4W/Y7SiERmRblk9PbK6e2SEXNGxcP7mBQBjZQv/bx6FxpKV/aeyyGygDLcBmp8kS5E3btwoKZtA\nYTGWHaeuCF1WVqZp06Zq8uRJWr++WevXr+9fZpyD7EGyBgEAKHxDvg/NtslIn9Jhd5ORZHmwYbia\njLgyBj2GX75ExqDX6TIclN9jlwz7VaaQ7CzBcrNKFYkswQojqMpElmCl39vbUCTxd13ASskSbCpP\nZAnWdqh2mh3x8o3zyuy094+0+qWKGhll5TK8ifXxXC/NE+jTTKS3p0rvZepbMuxkEhq9GYLu1EMz\nTaZgto1DJDv1LNkdOZpaGuzud+jODLS6wlK4R4bVk/jbco0nhTfaLyzS7VVnh/392NwdVGfUvk/u\niXvV5WQEetQTt/fvSWQGhk1DkcR2JC6FE/OLmIaiifnHTDklwXZGoOW8nJiZfGmm87KTz9uXxnIu\nl+m6/0xJuuxzXzrQc2YeynbjiTl0WfbPYYt3vcIRe61wy4qO+XyAUkdgEGMuGUDJ5sZsSw+2jEqQ\ndAhBw6EHCpOKpey4d05erzRxYpMmTBiv5uYNWrduXfpuxsPsZExpMQAAhWnY91v9goIDBQSz6zjs\nSQkM9pYN+xJBwGTH4aBRqUBiLcFyq0rlpr2WYKURUpXPPs4dDKwPGqoL2PcfyfUDMwYDG30y2xOB\nq7VxGaGQjOpaeetCTuAvpVTYKQ1OXTPQfX2cl+5efNCjtGXD7mCgU8oa643kWfE+206wz5ISATwz\n4ioldnECgx45+8oKy4jaQUCzo0dWolY30uVRuMu+lq1t9rVuCwfUnggAdsZ86koE/TpiHifw1xM3\nFHEF+8Lx5HZi3LhcZcKWEwyMmpZTQhs1TSfYZ1lSLPFC4rKcwF0yMGjKkqXebXdgz3Tdk1tG//vz\nvkHAvsfkS9ywv1E9hr3kT4e5XrF4oo7dinEv7WYZssziSKwplnmiPwKDABzDDxQWD4/HowkTxmv8\n+EYnQBiN8skkAAAoMcGQjLIaGaFQvmeSQ5asSERGpEdmpx0M9ASs3sAl8SYA6IfAIPKGT4KGdg1y\nkl3YN/ttgLJjKX2gsKqqSjU1Naqurkr99Lffp4+FlkGYWmJsGIbGj29UY2ODNm7cpLVr1yoSifQ/\nbBhlxn2/V/ysAwAwtnJTMiylzRKUUjIF7cMzdxz2pGQMupqLeJLNRXo7DQcNu2Q4ZFWqIpklaJWr\nwmsfV+33qTpgj10XMFQftO8xGgMxNQbtDzqbyrskSRPqUkuG43alpiItAXlqaqRA0E7wy1QqnCwl\nTmQOGt7ULMG01yylonqQ5iKmpMT6z1bc1VE4Jqc7hWVaSlaWWmb/DEE7KzAmdXXJY3TLCPdIliUz\nIikqyZAimz3q6bBfTGtbuVrD9nXvjPrUHrMfb4/a37vOuEddcXveXTE7O1CSwqblygyUIvFkFqCp\nmCsjUJKiVm82oL1tJl6WqXgijTGmuOJGPHEZTCcjMGbEnIy+ZAagqd4lcCyZMl2Zge7n3KxBsgLN\nvl1YxlhyflHL/lkNx9sUN3sSz3HfDIw1AoMAspYMFG7YsEEej0c1NTWqq6tTdXWVPJ5CCwRmxzAM\nNTSMU0PDOG3a1KI1a9YoHGalaQAAsIUpK5dRVSsjFlDRL/kdi0ldnTLbu2SYifu2svxOCRgteVgG\ncliKZJpIg8AgUCQyfXo2okzCTL9lBskklCTTNNXS0qKWlhYZhqGamhrV1taqpqZaXq9Xhd24JDV7\nMCnZybilpVVr165Vd3d36mHDbFLC+oMAAIyNId0XZZElmDJuhvUE7aE8MuTKEvS41hJMZAz6PEEn\nS9DrCSpg2JGsgFGZ0lxEkiqsMlV57BLfKneWYNDQOHsINQbimhCyqx2ayro1vrbD3meanXnlG+eV\n2S6prEIRq1aecr+suP0yko1FPD4j4xqCzhqDyQ9/XWsGDsjJCEzpeJG6bqAkxU0nG1BxS1ZifzMs\nJ8Lgvt2yeqKyOjpldXfJ67Vft9ffu65gpFUKt9svbFNLhdrDdkOXzZFASmZgZ2LdwK64oc7EsV2x\nRGZg3FJPIpmuJ24pErfvEyOm6WQEhs240zwjasWdLMBIYjHEuBF3sv7iRkyxxHp6cUVdmYG926YV\nd7Yt9R7rzvqzrN7sQvetpJUhY7Avq1+qZWGImva9diTWKdNKs/Y3gDFBYBAocgMFmoYdNEwX9Bog\nWGhZllpbW9Xa2irDMFRVVaW6ujrV1tYkgoRuhda4pH+QsK6uVnV1tdq8uU1r1qxRV1dX/8NGECQk\nOAgAQO5ldd8z1GCg84VHmcqGk4+l6zjs9QR7Ow67Og0HjDIFDTsIGLIqVJkICFYaiWCgz6/qgH2O\nuqChOnsINQYtTQjZ0bRJZd2aWGvXB9dN7pa/3p6vafdzULi1TN5xtZLPJ4+nT8mwKxiYfOmGN3NH\nYfshI2NHYadU2OztEizLVR7s3k505rBilpLJfpYp13G9JcNWJCJPvFPq6pJhRmVF7WTHcJs96c62\ngDa12yXXreGANicah7RHvWqPJcuDDXUlYk7dcUPdiXbAPXE7+GdvxxN/m4qYyTJXU+FEsCqqmNMw\nI6pob7DPiCku+/uRLPGNK+qU6pqKpgT64olIqGXFnWCd2ScA2LcM2B3U6xsILNSA32CS844nrm/M\n7HF1Iy7O1wQUMwKDAHLKsiy1tbWpra1NH38sVVVVqbbWDrT5fMX1X05NTbVqaqrV1tautWvXqqOj\nI99TAgAAyMwwpIpKGdU18kR8Rfluz4pE7MzArk5Z0Zg8yd4ohVB0AowxS5JpFUftf7GUPKO/IvxV\nASBb6TLTxiqLMKm9vV3t7e365JNPVFFR4WQSBgIB117uTwYLK3tQkqqrq1RdXaWOjk6tWbNG7e3t\nqYcNMXuQ0mIAAHJn0HubHGcJ9i0blpKNRdJkCXqC8hl27W/AU6lAoslImVXtNBcpt8pU5bX3r/bb\nY9QGPKoL2nNpDJqaELIzxSaV9WhSlX0fMn5Gh/y19j7RzYYindV2QDDkkRWXPMHssgST18d+ub1l\nw4Y3uT3w9bUsS4olMwbN3gYhfUqFzair6YgkK27/kSSzO+wEA33+uD0Xv92bpKfFnkfb5jJt7LCv\nX2uiTLg16tfmZOOQmKH2WLJxiKHuRDZgdyw1MzDZOCRimgonJpDMDAwroqhhTzpqRHqzBI2wkxkY\nt6JO5l5cMafMtzcb0OzNEnSXCVumc1xKFqBr/77PJcdI+XoLyqgzzVji74isZCkx0SVgzBEYBEpM\nTtcqHGKX487OTnV2dmrlypUqLy9XXZ29pp/f73ftVbhBwsrKCs2dO0cdHZ1asWKFenp6+h9GkBAA\ngFGXi2Bg2jFcwUB7mN61BDOVDUuS1xOQx9PbcdjnKhkOJDsNqzLjGoI1wUTZcMCe07igpQlBO1Ay\nsSyiKZV21ULTpDaVTbHvF+LtUrjZkioq5R1fJ0/I2/sSJHlDmdcPTAkGJq+VYUi+DGXDSYny4X7B\nwGQX4bglJZeKi1kyI8nuwq7y4GSwMNYjj9UldXXKG4srHrbn09Pi0eYW+/pt7CzTpkQX4c1Rn1oT\nQcD2mP0i26Ny1gnsjskJBvbETPW41gd0BwCjSgb7ogob9r2cOwAYtezHTEUVT64baEZlJiZuyuxd\n88+K9Qv2uQN79r69QcIky/V432MGCvwVQ+lw77+ZzPpeq7gZSdNyGsBYITAIIC+6urrU1dWlVatW\nqaamRo2Njaqursr3tLJSWVmhbbfdRs3NG7R69WrF49kt/AwAAJAzgaA81fVSIFg8XYZNU1Z7h6yO\ndhlWlE7CAFAACAwCkJSjsuNhlhtv3rxZmzdvViAQUENDgxoaxiXWIyyURiXpS4wbGxtUX1+n1avX\nqLm5uf9hZA8CAJBzA96fpL3vyJAlmJLZlD5LMLltZwYmtj0+eROlwh6jN0sw2XHY7ylTMJElGDSq\nFLLskuFKsyqluUhtIkuwJuDqNBy0P2xsCkU1pdxufjapoU01MyLONGNtXhm1dbJqKuVJZAEaPrt0\n2N5OvEZ/bzMRd8lwyjVKuQR9rp2Zei+SMUswaknJ7YjllAdb8d6OwWZXVApvtrMDQ5YUsp8Lb7Qn\n0LqxTBva7SzBTeGgWhNNRDZHPdoctffpiBnqTJy/M5F12BWzFE5kBvbETfUkSlPDVlxhJUuCo4oa\nkcR2RFHD7ngSV1SxRHZgusxAu2Q42Tk4mtIwI1MWoP1Y5kzATM/16v9YsWUJZlMJ7Fw/5/XGuffN\nxJKsolljsDjmif4IDALIqO8v6BGXGw8SJIxEIlq9erVWr16turo6NTY2qrKyos9e+S41Tg0Ser1e\nTZ06RQ0N4/TJJyszNyghSAgAwLAMr2w49R7BGWMEwUCPq3zYl4jCuYOByY7DQaNSIcsODJablaq0\n7MervAHVBuwxagIe1SfWEGwImpoYsgNTk8q6JUkTazrUON1uL+yrNRTfbM8u7quRd2KN5PHIG5A8\nySCgV04XYcPvCga61gwcbK1AN8uyegODyVsv05QVTQR0onKChGbE6i0TNntLhS3TkidqZwd6zIhi\nHfb529fa12xdS6U29tiB0k0Rv1MmvDnqUUdircD2qKXuRHCxMxZXd6w3CChJ3VZMkcQJw0ZE0UQw\nMOzpcdYEjBphZ/2/mMKKm4mSYKu3Y7BTJjxAADBlrUBXYKv/moDurwfqMJw+4Jd9IDBTxYo3w+Oj\naNi3qsky7JiS14r7XmDsERgEUJBaWlrU0tKiUCikhoYGjRtXL683Dzc6WSorK9O8eXPV2rpZK1eu\nVCQSyfeUAADAliJUJqNunIyYX/IUduDEikakjg6Z7e0yAom5Fu4tHACUPAKDALI24nLjITYrkaSe\nnh6tXLlSq1atUn19vRobG1VenlyQJt+lxv1LjGtra1RTU621a9dp7dq19ifufY0ge1Dik1QAwJYv\np1mCkitTcOAsQUO9jUUMw9ObJejxOdmBPk9AXiOZKejKElQyS7BKlYny4QojqJqAXRZbE/RqXLB/\nc5FJZWFNSjQXmTjNTg0MTfQotlmSz6+IWSdfo30eX5nlNBExfEZvlqBXUqKLcLJ82G444rom7oxB\nV5mwc69iWr23VpbllAorniFLMFkyHJPMqGR1dcroaZNHdqmufFL3Rvv6bdhYqY3ddnbgxkQzkQ0R\nn9oSZcKbo1JHMjMwamcHSlK3q4lItxVTj2V/8Bo2kn/3OKXBUSOsmNVbJuwuCY4naprdGYF9swPt\nlz14ZqD99wBdhAfIEuyVPtsvN2XD+Ss9zqbxiJTmdRZBuXS+WDJkFkmJrlU0i52iLwKDAEZkRMHC\nIQQKLcvSxo0btXHjRpWVlamxsVH19XXyePregOSr1Nj9RsPUxIlNamgYp5UrV6mlpSXzYcnXnM2C\nLMlDZBAcBABscXLeaThjMNDr2h44GJhpDUG/0RsQlKRyq1rlph0MrDbKVeWzj6sNelWXDAYGpIbE\nGoKTyyKaXJFYQ3D8ZlVOSwSmEsGxSLMlo65ORlW1fD5DiSnJ4zckf5pgoEe9ZcPpOgtn+FAyZd3A\nPsFApyQ4UT4sU04w0IxIZkxSLCYj0iZPT4dkmop1GGpvta/T2k1Vak6UCm8I+7UpUSrcFjUSf9td\nhSWpM2qpOxkAjMXVnbgQPVYkbRAwYtgl1zGrx1kfMGb2ZBUATK4L2D/YlzkAONBagb36B/sGDvQN\nEgwbrWBZlsG74RhyYNO57taQ7oUB5BaBQQBFp7u7WytWrNDKlSs1btw4NTY2KBQK5Xta/fj9fs2c\nOUONjY365JNP1N3dne8pAQCAQldeKaO2ToavUOtvLVldXTJb26WeHnmDolQYAIoYgUEAOTfspiVD\nLDU2TVPNzc1qbm5WVVWVmpqaVFVV6d7DtZ2P7EH7/JWVFdpmm621YcNGrVq1SvF4mvIRmpMAAErA\nkBuZ5axkuDdL0Eg8N5QsQZ8RzNhcRJIqrXJVee1OxdV+n+qC9jnGBaXGoP17uikU1aRyuwvu5No2\njZthf2DorTAUa5MUCMoMjpO8QXl9lhKNj+UJGE4WoHzK3GnYnSko2dmC6e4vTEtWIjtP8cxZgk6p\ncOIxM2zJE2mX1bZZHl/cvtTlUs9GjzZusK/D+s7ylFLhTRH7OrRFDbVF7fN0RJOdhU11Je6JuszU\nMuGwYV+niNHtZAnGrJ7eUmGnTDiW0jjETHQlNmXKTDQZ6ZsFmK5UuFdq+XDvpTPlzgjMtqNwiiyz\n6Ub9vs6KD6+h4Cjofa2UEg+kWLr9kvRZvAgMAhh17hucYa9JOEiQsL29Xe3t7aqoqNDEiRNVXV3V\nZ498BAlT1yBsaBinurparVmzVuvXr898GEFCAEABGrNgQr/f+f1/b48kGJjadbh/MDC57feUyZdY\nSzBgVCooOzDYdw1BSaoJ+FUTtM83LmhoXDIYGIxpUpkdzJpc1aGmaW2SpGBTYg1BSeENXvkn1koV\nlfL6JcleR9BIBgP9RuZgoPPSM3xv4q7gVppgoBUzlajE7RcMjPfYY3p8pqz2Nnkim+39JXWu9mlN\nc7UkaX1XmZrDdhRzU8Sr1kSpcGtE6kgEFduj8d51A+P2CbutmHoSAcBuVwAwYnQrZtmPx6xwShAw\nbtr7WIkgnWnGUtYHNJ3tgQKA6cuD+z6WORDo2h4k2De8+7LRCJKl/hvifhGAG4FBAFuUzs5OffDB\nByovL9fEiRNVU1Od7yml8Hq9mjJlshoaxumTT1aqvb0931MCAAD5UlUtT329VDb4rmPOtAOCZniz\nZJpSMN8TAgCMBgKDAMbUsJuVDNbdt4+uri4tW7ZM5eXlampqUm1tjevZfGYP2ucOhUKaO3eONm9u\n08qVKxUOh9MfRvYgAGAMjXmJYRYNRZxdk3NLaZ4w9CxBjyeRKZgmS9DrCSpg2FE6v1HudBoOqcJp\nLlJphFTjt/evDtjnqwsaGpco/R0fimtSyC6LnVzZqclNrZKkiqmWTDsRTpG2oLwTxkk+n3x+VxJg\nIEOWoLvZ2iC3Lk6X4bjV2324b5ZgopzXcnUXNmNSvNuQzLg8PZvljbVJluUkHbatDGjNRrsiY313\nmdb12C94oytLsC1iqd0pGTadLMEuM6pu2dekJ9E4JOzpUdiwG7BEra6UMuFYIjPQdJUKW5aZkh2Y\nfH6ojUN6r9PIswMHv9cqlBLZQplHBtSgDqjAv3sOvovFi8AggLwbzVLjrq4uffjhhyorK1NTU5Pq\n6mr77DHWQcLU8uKammpVV2+j9eubtWbNGpnmAL/6CRICAHKgcIJ/btmsG9i7r+E81tv1wr1WoHuf\nvsFAX2LxvkzBwECi43C5VaWQaT9eaZQ5nYar/T7VJjsNJ7LoGoOWxgftANa0ii5NHmeXDNdMCTsd\nhWPtkmX4ZdTVy1tZ5qwhaARcnYZ9iWCmu2TYN8D1Swb+TKt/9MA0nVjWoMFASV5vXD5zs9TRpniX\npdZm+8Wt3pQoGe4OOcHADRGPWiLuYKB9oo5oXF2JUuEuK6ouVxCwx+iUJEUTZcJRdSuWiJS6y4T7\ndhF2Bwb7rv+XWiY80PqASUNYJ7DP8+nvpXIQsslHUCyrf5Nji3tVIH8IDAIoCd3d3froo4+0Zk1I\nTU1Nqq+vy/eUHIZhaMKE8Ro3rl6rVq3Wxo0b8z0lAACQSx6PjNpaGWVVhReUicdltW2WGWmTN0Rw\nBgBKDYFBAAVltBuV9PT0aPny5VqzZo0TIHS69+Ule7D3nD6fT9OnT1NjY6M++eQTdXZ2Zj6U7EEA\nQAb5axKSrfS/YzNnCSZLgnuzBJPbRkr2oMfJDDRc232zBJOdhtNlCYasCpXHkyXDZar09pYMV/vt\n89QFDTUG7d/fE0J2Btqksh5NqrLXDR4/rUO+xAom8U4prmoZtbXyVnjSZwl6DSdTUN7ejsIp3YWT\nzN7f4Zb793/ccu4HnJLhuJXaWCTZXTiZJRiPyQi3ymd2SD5L8bDUuqI3S3Btl3191oXta7Ax4tGm\nsD2XzRFL7VH7tXdE4+pIdADusSLqSpQH9ysVNpPdhXv/djoKu5qIuDMGMzcRSf+864K4rlOG0mC3\nDE1EhpQlWEzlsPmcq2EU17UCSgCBQQAlKRwO6+OPP3YChOPG1bsChPlVXl6mrbaap02bWrRq1SpF\no9F8TwkAAAxVMCSjql6GmezaUSDBkFhM1sbNsjo65C2zCrPxCQBJ9v8allUY71EGUyzzRH8EBgEU\nrJw0Khkk2BeJRLRixQonQNjQMC4RIEx+GjzamYOpTUnc6uvrVFtbo7Vr12ndunWpmQFuI8gelMgg\nBIBiNurZgcP60Gzg351p55xlQxH7+N4swX6NRRIL+nk8fnkT215PUD7DDs75jKD8iezAdFmCFQqp\nymun9VX6vaoOJLIEA4Yagvbvy8ZgTE0hO+ttcqWd3T9x8maFJtpzjnX5FDXGyfCVyxuw5A/Yxxle\nQ0o0FzFczUXk8TjrCKZkCWb4/e7cD8Qsu1uw7IQ3K5a4l3BlCSZvL6y4FGuLydzcKm+sQ4EySSEp\n1im1Lk+fJbgxYr/2jYn+aG0RqS1iZ+K1x2LqjNsfXHaqRz0eey3BHqNTYSWyBF1rCMbMsMxERmBy\nLcG4FUvbRMS9rT5rBY44O3BImYFu+csSHOp92pivITpUZAsCBYfAIICiMuRS4yyDhNFoVJ988onW\nrl2ryZMnu9YgHKvy4tSmJM6jHo8mTZqohoZxWrlylVpbWwceZohBQokyYwAoNqP2xn9IQcDBfydm\nnOeAQUBpoIYifR9zb2cTDAypUiHZQcBQ3A6CZQoG1gYM1QV6g4ETE52GJ1Z0adKEzfaxUxKBrS4p\nvMGQUVMr74Rq+XyGJEuGr0+nYXdzkcHKht2/x81keXBvsE+maQf/JLtMOFFCbCaajJgRyQwbUjwu\nb3yT/OqUKqX4Zqn1I/v1rtlYrbXdiWBgT0DNiWDgprChlog9TjIYaJcM29egy+hWtysYGLH6dxeO\nWeGUIKCZKDdOBvdMM5aynamLcKYgYN99h944JJNBGopkcX+Vz/upwc5diIFD7j+B/CIwCAAu0WhU\ny5cvV3Nzs6ZOnary8sKorwkEApo1a6ba2zv0ySefqKenJ99TAgAASRWV8oyrk7zewfcdK5Ylq61N\nVmurvFWmVFF4ASEAg7Aks0hKdK0CDDojOwQGARStEWUPOgemP66zs1Pvvvuuxo0bp8mTJ8nn88n+\nBHnsm5K4VVVVatttt1Fz8watXr1a8Xg87X6Sel/bEEo2KDMGsKUbSrZMIf0fmJMsn1EoC5ayzQzs\nP567TLj364EbikiSx+OTx7AbYngNn/O81wjK50lmCYbkTyyeF1R5b5agWabKRNORZGORTFmCDYG4\nmhJZgk3lXZrU2CZJqpoSlSeRBRjtCcqoGyfTDMqbLBn2Sd5Q4poEDBmuJiPyeHovgyfNdTP7/8xZ\nlmWXDUt2lmCyuUjUkqK9WYLJ5iJWTLK6u2RtbpG/LCqNsx9v+8C+1muaa7S6086gXBf2qzlsP74x\nbGizK0uwLWqX/rqzBDs9dul0j9GhaCJLMGJ2O1mCcbNPlmBiUpZlOqXE7sYimZuIZCoPdi6U6wL1\nf37gf7uDZASmU+BZgkORzTwLMasQwOghMAhgizBa3Yw3btyolpYWTZo0SY2NDTKM/JYWJzU2Nqi+\nvk6rV69Rc3PzwEMNo7zYOZQyY4yyob75GOnP4Uje7PBvIDeK6Q3nYHMd7Z+JYV2rsVoTMGWHvsen\nfm2kPJ8aCDRSOg73bmdaN1BKBAOTgcE+JcPJdQMDVpnKrEQw0CpTeWKfSq9flX57DpmCgROSwcCy\nbk0clwgGNkXkq7Kvg9kjRVo9Mmrr5Wmyz+H3WU6wUD5DienJ8HtSg4HOJerzQVzf38+m1fvr37J6\ng4Ex0wkGWhHL+bVuRRMBwWhUnp5NMnq65ak21LPKPs+aVTVa1WHPdW1P0AkGbnCVDG8Ox9Ues4N3\nnfGoOhIdhTMFA6OmvR23wolSYHstQXd5cGowMLVUOLVMOMt1AocUBBxGANCewNB23wJ/N2yJrwlA\nZgQGAWAQpmlq5cqVTnlxdXVVvqckSfJ6vZo6dYoaGxu0du06bdq0Kd9TAgBgy+bxSjVV8tRXDzMI\nO0pMU2ZLq9TeRpdhYAtiySiabr/0lSleBAYBbHFGlD04wE1+OBzWBx98oOrqak2dOkXBYND17Fhl\nDyb1fgoeCoU0Y8Z0TZzYpLVr12njxo2Zh0r3+obRpKTfEHyyjEHkKkssn9lmxZLplo9/j8VybXJt\nNJZfGNK1HHJgapiZgWlLglPHM9Lu4+33XN8y4d7uwr3Zg5lKhZOP+YzeLEG/UZ6aJWja22VWUOWG\n3WCjwudXhd8eu9rvUU0is68+0WV4XCCmCUG75LWpvEsTx7VLkionROS1k+xkhr2KmLUyyivlDRny\nBZOvu3+WoLwep8lIxpJhKbVs2JUdmPw7mRxnxUyn07BilsxYspRYivcYsjra5Y22KFBjSRUeRdbb\nB65dWqFVbfaHmWu6g1rbY1/HjRGPNoUTWYKReG+n4XhEnbLXMO7ydKrLsLMlM2UJxhIlxqYZdTID\n3R2FLff2ULMDh9U9OIsMwRxHLrj/AbAlIDAIYIs24nUI07zpamtr03//+7YmTJigiROb5PH0XRNw\nrNYhTBUMlmn69GkpAcJ+pUnpjKDU2BlijMtBkV+lGgQqFnx/8mdUr33WQcDsfgelnesgawLa08gc\nAEw+b6Q9Jn2ZsHtdwWxKhSXJp6CCSnYZrnC6C5cpqPLEGBV+nyoSwblKv6HaZDAwYGlcwA5iJUuG\nx5d1O+sHVjRGlVimUGZYirT6ZdTUyDe5QgH3WoGB5HbiNbpLhn0ZugybVu/v5T6lwsnfv8mSYZm9\nawYqZsmMuDoNR+0xPeqWP94i+SIy45Y2LrEnvnpTtSRpVWe51vTY16M5bGiTvfSfWiOmKxgYVYdl\nBwM7PO3qMeyy4bDVrohpdx3OJhiYLCWWKwDYNxjYf63AkXQRHvsgYMrQ3McA2IIQGASAYVq3zg6+\nTZ48WePG1ed7Oo5AIKBp06Zq4sQmrVu3Xs3NzdkFCAEAgM3nl1FZK4+3MvFAAf0ejcdltmySYXZI\n1XwQAGzp0vQkKki83SheBAYBlIxhlRgP0pwkFovp448/dtYfrKgoV/9Psccig7D/ufz+oKZMmaqm\npglOgNA0B/mEPQfZg9mgqUlhILMMBauQ1m7L1zudrK5B+t8vQ28W0n+8gRqG9J4n3f6p5cHJ/dyP\nJbMBDcMjr9FbJpxsMuLzBOVVb9mwP1EqHLQSWYJWucqskL1tBFTutY+r8HlV5XdnCdozqvX3ZgmO\nD0U1odzOgGtqSGYJxpSoOlY85lfUWyejrEK+cks+f6LTsDeRFSjJ8PduZ8wSHOz3qSkp8TvZbsKb\n2E5W2UYtmckmI7HEPpYlq22zfPHNUtCSETTUtSLRXGRtjVZ32EHMVd32i1kf9mpjIkuwJWypNWKf\noz0aVXsiS7DL6FKXxy6d7lGHkx0YsboVS2xnkyWY2mQk7tp2v+Dk9RjFLsJj8O+V+xYAWxoCgwBK\nUq6DhF1dXXrvvfdUX1+vyZMnye/3u541NbbBwVQ+X0CTJ09RU9NErVu3VuvXrx88QCgRJCwABO5Q\nNAopkJdrw3ltA/2fmcOuwSNZE7B3OsMPALofyxQElOygX3LbXSbsMXzyplk30GeE5Lfs7ZAqFDQT\n24lgYLnhV7kvEQz0e1TprB9oqCYRyKsLWKpPBAMbgxGNr7CDXBMa21U+Pp7yEuKdUjwSlFFTK9/4\nMtlDW3YwMNgbDJQ3se01JG+ylDgZIDTSf28ty0n3sSxLiiVLhc3eTsNxq7fTsPO8HRCU7JJmr9Ep\na3OL/NWWwqvtfZrf7l1DcHV3SOt67O9fc9ieU0vYUkvY/n3fFo2pzbSjhF1Gtzo8myUlgoHqLRmO\nJsqH42ZYscT+6YKBlhVzug/3DwamDwLmLPjnRrkwAIwYgUEAyKFNmzaptbVVTU1NmjBhfG/2QAHw\ner2aNGmiJkwYr+bmDVq3bp3i8fjgBwIAsKUKBGVU1MrjKU88UGDBoGhE5rr/z96bR9ty1XXin71r\nOOOd331zJkggzIMIggxhtY1mJWjotA2OyGSw7e6FrS3KT1AEgYX2WtjaKiaCAgsnRFpMBJcuFAVl\nShBQCEESkry84c73jDXt/ftjD7WrTtUZ7rv33Hvf259FuPWqdu3atc85Vac+5/P5ftZB/b5c4Qxt\nbmFhcYmB4xClEh+OcVoMwhKDFhYWlz3UL8ITJxgr5Mg/xhgeeeQRrK6u4vTp05ifn8P0w0nKQOE4\nFMePn8DRo8uaIIzjePhueYJzj36hV6/B5fIrvVUE7jMOEHFvAezvtXEcTKBo2uW0YGDnYSHpkIqV\ngea2UdbgfNuiRGFCnNQeLNOECRw4MtHDIW7GJuwSoQL0eAU+RIhIhVVR4cIOWyU+6jS1Cou/FDMy\nCGTWJ5iVKsFFL8GSTBc+UgmwLFWCy8fbqBzhenqSDoBKFayyAFKtglY4PNewDMtgEXhEpwubKkFQ\nUvzDn3lvNFWCqkBYwtNwkYSl4SIJ10pB6dpF0mNwog2g00Jl2UGyIdaf/7yHc5uirvEj3TrOB2Ju\nVgJq2IalSjBMsJWIDtu8hy4VwSJdso2AtwGIxOGsSjDUy1opOJZlWEUoD1MI7kAVaFOELSwsLPYc\nlhi0sLCwkNiRvRgQX1oLHhDCMMQ3v/lNzMzM4IorTqNarcotB4MkpNTFsWPHcfToMaysXMD58+cR\nRdHoHYFyu9QugYBc9Jf3stdwPx4KLjsC0BJulxgOOmGXxU4/b6OvDXs3D5PXBBzfEly0fZAALCD+\nJiAAs0nDXpoorGoGkiocpMvKJuyjhgoT98YK91GRhGGdeqhKQq7uOmhIEnBGVumY9UTdQABY9GMc\nUWRgtYdjC4LwaiwG8OdFe86ApCdPsFoFPTEP+FU4yjJMhpCB6nrmpq9RESnIkxzpZZCBZuIwl5bh\nTA3BKK0tSFwAnRa8eFPUIKwRbH+V4PzqAgDgTLuBs31Bmq4EDtYCMZaNkGMrEJ1syXt5hwdoy5Th\nLm2hDzE3AWsXJg0nLNAkIOMxeIYEVJbiScjAEUTglOp3WjLQwsLCYjgsMWhhYWGxx2i1Wvi3f/sq\nlpeXcfLkCTjOwbIBEUJw9Ogyjh5dxubmFlZXV7G9vb3fw7KwsLCwsNgdUArMNEEaM4DnHViumwd9\nYG0NiCKgYX9gsbCwsLCYDiwxaGFhYVGAidWDI9KLAWBlZQXr6+s4efIklpePyLXq1/T9fkoRx5+f\nX8D8/BzCMMTKyirW1tZG24wVRqnE9lgZMK5KaDfUiBc7hgONy1btt9+fwcONA/XeLw3eGLFbQVLq\nnmLkOLPbSWH7ScJC0j7z1mBirM/biin1QI3tZqKwDhFBuuySbKIwIGzCHsRy3iZck6rCqktRk0q9\nmkvRkE8pM55pFRav0aIfY6kifLNLtT6OHhU/ZlUXGKgU57MQiIMKyMwM6GwDjqvCQqQSUAxQ/sVY\nlmHOC+zBCjI1WDZIRXQJS5OGEw4eqj7ScBEex6D9daDXBZ11ADgIHk5w/iEZLNJq4pGeOLHzgZuq\nBAOOzVB0vh3F6CRCKdgmQg3YoR30iJibgKcqwYj1kMhgkdi0DJeGi0Tyb3GwyFCV4H6lesMqBS0u\nDXAA7CDdY4fgsIzTYhCWGLSwsLAYgYlrEOa/BBsPFUmS4KGHHsLKygquuOIKzMw05Zb9TS7OgsL3\nqzh16iROnjyBzc0trKysoN1uX1y3E9YpnKTe4KSkxG4kIR8oIqQIB5LgOyjv8d3DgX8f7DV2SMLt\nHHt4vInOZVIScXjfo0i/fJty4k8cq6wmoLkuaxUWx3KIm7EEq7amNZhAtfUy9mBFBgoSUBB/Kk24\nwn34so8acbVNuGaQgQ0XaLjKMswx66p04RhLvrC6LlVFAMeR2Q5mlwSx5c1z/XIkPSAJCdBowj02\nA7fmy3MAiCIBPQKiprYgZThDBlLj820SgYwLizCQ2oQNYpAnHFC/qSUcXNUbTKDrCiYB4DY4+PYm\nPL+LaEtsWPmCGPPZzRk80hM1F8/3PaxIMnA9ADbDtIZgS5GBvG/UEGwBAALeQsjSxOGEKzIw1MQg\nY7FRNzAeUkMQEFHJB5cMtESghYWFxc5giUELCwuLfUC/38d9992Hubk5XHHFafi+v99DKgQhBAsL\n81hYmEe/38fq6hrW1tZsmrGFhYWFxcGC54FUZ0HqTcEEevs9oOHg3Q54ax1IEmDJPpJZWFhYWOwf\n7F3IwsLCYkxcVDiJ3jG739bWFra3t3H06FGcOHEclKYpkPsPClMFUK1Wcfr0KZw6dRLr6xtYWVlB\nt9s12poYQ01jzsUQdcEw6+9uqLX2Upl40dh31d9BeB+Oh31T7k1dMTct7P55FavipoWi2q4X8wPH\npOdSXFu2aE5IQd95O/AwRWC5TdhJ1YC5QBFtCSapbThVCXpwUdHLpjJQKQY95qMiA0U8uKgoezAV\n5111HNQcFSZCUDNswg2pDJx1OeY8oVab92IsSqvwQq2PI0eFYr0yJ+4ttA6wPgBCECVNOHMzIJUK\nqAvIYQuVYEXOhZvahzOBIqNUgkA2XTg2rMJGurBclVUJqpThKLUMs4jAoQH4xhoqjQiMMcAF1u+h\nOL++BAA406kDAM73fayEYvxrgbANA8B2yNCSJT5arI8OEYpAM1wk4qlKMJs4LFWChjKQMSNkBEyr\nA4V9OK8EZOVKwZL7uFXxWVhcPPbRkW9xmcASgxYWFhb7DM45zp8/j7W1NZw6dQpLS4v7PaShIIRg\naWkRS0uL6PV6WFlZxfr6pnjAsbCwsLCw2Gu4HjDXBGnOgAY0tQYfZDAGvrYBzoTNF41L9UcFCwsL\nC4vDhqkRg4wx/Mu//As+//nP48KFC1hZWUG/38fy8jKWl5dx3XXX4Tu/8zsxOzs7rSFZWFhY7Bgc\nfGcKpSHqwTiO8a1vfUvXH2w06nLLfj48mMceJP5qtRquvPIKnD59CuvrohZhr9dD+ZhLyEM1FyU/\niRap+nZbIZavO7jnCrSpqQH3QPl1EOvq7aka7WA9wO+v8s7EztmYaZxDkfIui/RrMJ+4ZuDOj118\n7sU1A4vqCg5TBKp1ZliIWTPQbOtIVR+BA0epA+HCJVW5PFgz0GFuRhnoyWNWiANfKgKrDkXVUTUE\nxbVC1A+EXp6TISIzLsO8UglWQizIGoJLix1U58R6dy5V+yWsDtKcRYIqiCduGU41/fhTn+hAEeIh\nW0NQKwKhVYGlKkEFxnXgCGIOyB/AeGIoBotUgiF04AhPONDeBt/ahNfkIBVxrO6DwPmzcwCAR9pN\nnO2JOV4JxUSt9Ak2wlQluB2JA3WSKBMu0idCJRjwNiIu1itlYMIDxCyUcxfoYBHGDZUgZ1o9CCSF\n9QQVuIxBSFdYlaCFhYXFpYA9JQbjOMZHP/pRvO9978Pf/d3fYXNzc2h7x3HwtKc9Dd/3fd+HV7/6\n1Th+/PheDs/CwsLionDRJBXnheRQt9vFvffei8XFRZw8ecKoP7jfZEA5SUipiyNHlnDkyBI6nQ42\nNjaxsbGBKIrG7gPA2AThXmPHx9lTsm93X/9dmcupEFSHwdJ6sOVKu3G+o0m2vR/DXl4Dd+uTO+o8\nxwkQKSYDncz6spRgtY9jrCsKC8mSgR48SfY5cOExcc/xuNhegV9IAFYoRUWRgS5BVX4Mak5qD27K\nJ42myzDnCaZszosxL8NEFmp9LCwIMqsyE8NtyPN2U06KsQpIrQ5Sb4J68lyQXm6JSwDPSBz2qJrI\njFXYBMlfq/MJwxI8YemtijHwSBGD0OEjigzkkUkGCtsw73Xh9NfhziVAlSC8wLHyb+Ikz7UaOlxk\nJXB1uMiG4PSwGTJsy8ThVhKhzQVp2qUdHS4S8q5OGg55mjQ8KnEYYENCRuQJG6Rg+n3HkoIWFtMG\nB8D4AfxBtgCHZZwWg9gTYnB7exu//uu/jne/+904c+ZMYRtCCFzXzTw0JkmCz3/+8/j85z+PX/7l\nX8Ytt9yCn/3Zn8UznvGMvRimhYWFxYHG+vo61tfXsbS0hOPHj6FSqe33kMZCo9FAo9HA6dOn0Ol0\nsLm5hY2NDYRhuN9Ds7CwsLA4DKhUgUoDpFYHuHPoSnnyXhdsZQsIQ6DOsf8/7FlYWFhYWJRjV4nB\nJElwxx134E1vehMuXLgAQKgAn/3sZ+PZz342vuM7vgNPfOITsbi4iMXFRVBK0Wq1sL6+jgcffBD/\n/M//jH/+53/GJz/5SayuruJP//RP8aEPfQg//MM/jLe//e04derUbg7XwsLCYtewF8EkCmtrIgl4\ncXERx48fQ7Vaxf4/ZIx3fEUSnjp1Er1eTysJgyDAUPUgIZNXWp5ErXexVZx3TRm4G0quixjLjp+2\nd2HcB0S1d7HjuFgl3dC+95wN2Vn/k4xrp+dwMfN6EKzW+TFk1YFOabt8KIhS+2XUgkZACCFUW35V\nvw5cUKgwEUdvd7irl33uw+EyOIR78FSICHFQkf2MUgZWHaAml+su0HDEdbXhJphxhQJtwReqtFk/\nxEJNhGDML3bhN8U136lBvw25WwP360C9AThUh4hQkrYhSvnnEP0UQxyircagNH1bm4EiBjg37MEm\nTNWgqRJUysCEA5EKHAGYtPlqYR0H2HYHfGsTjhvBXRLHjjeBc3cLe/aF7QbOSpXg+b6H1UAMdj0E\ntgzbMABsRRE6XCj/OqSHLhUqwT7amXCRmKcqQWUbZjySw48zysCikJEy+3BpyEgJrFLQwsLC4vBi\nV4nBW265BX/5l38JAHjqU5+KH/3RH8UP/uAP4tixY6X7zMzMYGZmBldddRWe97znARAW5I997GN4\n//vfj7/4i7/A+9//fvzZn/0ZvvjFL+K6667bzSFbWFhY7DrUl+OJCZsRJKFSEC4sLOD48WOo1Ywn\nqkOAWq2GWq2GkydPoN/va5Kw3+8X7zBOavFOCbo96/siyIyLNTOOTYbsNakzOUE3TXJu/GNNPqbd\nJqT2guAad64mPfZIC+3Yx53++2dc0DHOoTBlOGMNzpKC+fqAGWIQjkEAOrqtg7RWoEM8uDy1BIu/\nLlyD9NMEIFy4cj+PUG0P9h0KXxJrPqWoyhp9owjAusMxI+3BM26MGU+QUU0/wnxDEFezi+L67jU5\naDWdE5UonNAaaLMBVGugfkrqEZLWFYRP0vVlycJmzUDTNmyQfZoMZHyQ5+I8cy/IkIHKfRtzMGUb\njgHFg/EE4N0OnHgTXiUBloBoFVj7irBnn9+awYWeOPnzfR+rMml4IyTFScOJIPe6pIcO7QAA+qSN\ngKvE4W5hDUHGooxtWKyLoU5W1BUsIQP1iQ9JHTbnysLCYoogYAextnMB7NXh8GJXicGzZ8/iO77j\nO/DmN78ZL3rRi3bcj+u6uPnmm3HzzTfj7NmzeNvb3obbb78dW1tbuzhaCwsLi8OJjY0NbGxsYG5u\nDidOnES9Xh+90wFDtVrFiRPHceLEcQRBgI2NdWxsbMjgEgsLCwuLSxKEANUaSKMB1OqgjBym37ey\n4BzotME2t4A4BhoAKof1ZCwsLCwsLmfsKjF4xx134KlPfepudokTJ07gN37jN/D6179e2ucsLCws\nDgcuKpxkDIvx1tYWtra2MDs7ixMnTqDRaO5kmPuOSqWC48eP4fjxYwjDEBsbm9jc3ESn00kbTaTe\nG/VgVmBb3rW+izHR6z+R+mlnCqZBjFZp7ZYibNz+Uuyuwm1Yu91WHh6M0I+Lf213qpQbdzuZQGU6\n1rzvdlDPiDksmp8ylaBQBEp7MIz0YKTrVCgIhQPKB1WCLlytAnS5o0NCHNmHRxx4ShlIKTyilomh\nDEyXKxSoOEolyFGXTwc1qQxsOhwNVykDE60MnPEjzNaFInB2rpfagxsArRjXPEKQsAZYpQ5UawAh\naYqwC/0Rp26aKAy3RB1YlixMje0FirZMiIihDuTmOqZUgtDBIkgwqBLkHLzdBk02gSSBf8QB4CBe\nSbB6n0wW3mrinLQMXwg8rIXitVkPSGoZjhK0ojRcpCstwV2lEkQHfUiVIOsilPbhhAVpyAiP9bKZ\nLmwmDqvE7dKQEWMidqoWtDZiCwsLi8ONXSUGd5sUNHH69Ok969vCwsJir7FrJCEwQGRtb29je3sb\nMzMzOHHiBJpNGet4qGQYYqy+7+PYsaM4duwooijCxsYmtre30W63wdiwGkcXQ6YV9TuKBJvwNRxJ\nZuwtwbdTUm/0MXe638UTjUOJph2Qf8PIn2kQZzvdZxJSrazP0XNdfoxh5z5YZ29ygm3ccYxDBo7z\nOg09vmkDLuiLkuLtJsEnyMCUBHTlV/GUAHRBZaqjw1PrrwMHDlHEINHLHqHwJCnm0tQOXJFDcSnR\nIjbfAaqKAKTcsApz1BxBGDVdhoZcNgnAmaogn2bne/AbYrtTA4h8kqA+geSiwGOAcxeoVEV4SKUq\nzkldaimgpiqbKGzUCiQGGWiQgHp+85bhokR7xgUhCAAJ1/bgARIQEGNT9mHGIUv0CZuw6pJzOGgD\nrS3QGke0InZe+7ogZle25nGuKxT8KyYZGBJsGvUD25IM7CQR2ooMJF30NCEoyUD0dOJwzIvJwHwN\nQdM2nK4zyUA9OSWpw2oycrD2YQuLfYP8PeJQ4LCM02IQe5JKbGFhYWExfbRaLbRaLTSbTZw4cQIz\nM7P7PaSLgud5OHp0GUePLgMAut2ePsfRRKGFhYWFxdTgekClIshAtwbiHaYfpkaAc6C9Db69DTQM\ndtPCwsLCwuISgSUGLSwsLKaMi1IPAiNsxhTtdhf33Xcf6vU6Tpw4gbm5MoJwQutnwVh33z6kxjRI\n+tXrNdTrNRw7dhSAIgo7aLfbaLVaA0ThsLnNjrtEQTbstRlL/bVTxdvOlWtFKqbyfcZvOyxhdeyx\nlfU9gYKvrI8yJdioIAhx/MlVlvkxlynZJlGolc/PxansssfI9lWoeiv9PJTMk6mMK3rNCo9RMl98\nsvdIWT/jWonHnTuzXX6Mph0YHKDGdYPItqIFkctEW34dkq535F+XUDjyuu4QotWADiFaEehRGCpB\naHWgrxWDPBMcUqVcLjPUHXGdrDsMdWkPbrgRap5QmM3UAszOCcuqV0+Tg5UykLjSUut64LQK0qgC\nlRq4mQacnTzxh5D00uaQVDHo0cIQkTJkUoZVsAglQGKo39Q9MuaAvC9wUzFoqAOlmA4s5qniUQnv\nOAM623DQAhgDPUoRrYj9Vr/mYWVrHgAKVYKbUbFKsB3HOmm4RwJ0qVAHBqSrw0VUynDEukh4qgxU\ngSOMx4XhIoO2YXGCZSEjenGYWtDKfywsLCwuC0ydGIyiCF/60pfwjW98A9vb20iSZGj7W2+9FcvL\ny1ManYWFhcV0sfskYfqlvtvt49///X7UahWcOHEC8/NzuZ0nt9DmocY8KUGYP9fB/c1xFCsDBVHY\nMIjCLlqtdoYoLJvTkXM9AZkGjGP5HJ98mszWmyeoxiHCxiP1sjXSyomwon13m6gbNpb8eMqOX1bz\nrWifMqIvaw8teu1GE2+ZY45xnPR4k5FpZX3RUXbYMdYVHZOA6jjCDJFW8FkjvHwei9qXbSsePxn6\n74GxjKgxau5PMXjtoIToNoSgcJmS9DgOQYb4c+UpuNTcLtYJAlBuJwSeJPgqVNiCAUkCyvWqJmDN\nSVCTBGDNSVB3BYlU82LM1AS51GgE8GviO7jb4KCenA8/re2n7LSsD3B4QKUKVKsgtRpA5dlRNY/p\nfnCQnoSxHY60U5s1A12SvgZ5UrAgUZgXEVVJag0WhJ6RKCwJQx6h0Cqs+08AGe4LAgbKtoD2NmiT\nIpaW4ZWveljdngcgyMC1UEzaqiQDN0osw+04RlcesEt66FFhD+6TNiIulkPW04SgtgyzAIlOGY4k\nCZhNF+Y8HlJDUE+kPMkyMtBok5kUSwpaWFhYXC6YGjHY6/Xw1re+Fb/zO7+D9fX1sfd7xjOeYYlB\nCwsLi4tAr9fDN7/5TVQqFSwvL2NpaRGOM1ldssOAer2Oer2eIQo77Y4mC0f9EGVhYWFhIeF6gC+t\nwaSmST0Al6yLlocheHsbpNcBbVpSzMLC4oCAA4zvQDywD+A7ETlYHAhMhRiM4xjf8z3fg09+8pPT\nOJyFhYXFoUSZ6m5sJSHnOWtxVgEQBAEefvhhnDlzBgsLC1heXkajUc91Yu6TffpT4ysaDwGZSDXI\nwTP9DFcQUuxE3aiIwuWjyyAg6PV66HQ66PX66PV66PV6SFjZmE31WNFxJrOfjlbpTa78y/c7oLwr\nUdkNU/vRkv7K1Hajx5RNYy0f3/gKvjLV3rBgiGGhEHqZF89Xvt2wMYytrFMw3n4Xo7Ibtl/G2lpy\njEwbUrw+XWeMyeyjZD/zkjTO+iInaXZMRdtHH6Os70w/RedrBt4afagxUeM4mWWSjtWh0D17lBiK\nQK5yN1LlIBEqQLXd1ypBDp8yvaxswD5NUFWWYBUW0uijUhXqMq+agHry2k1TSzD1kA6QuCA1H/BE\nnUDuVDNEIMndFjLBIYYyUM83TRWB+mNOzLY5lWCRapPzVB3IePEtwFS0mSnDRSrBmOugEc6gP3s8\n4uDdDmjcgkdDoAKgAkQbYvv6vRWstESg10qvipVAqATXIwcboRi3Ugm2I4ZWJI7diqJClWBIegil\nSjBiXa0SzIeLAABjUWoZ5rFWDAJMKwLF9vRHr4uyDefmchzYNGILCwuLSwNTIQbvuOMOTQq++MUv\nxmtf+1o85SlPwcLCAigd/mBXqVSmMUQLCwuLA4v8F++hRKH6Qj/EHsc5x/r6OtbX11Gr1bC8vIzF\nxaLrMUPRY3ie1MuPazceFAaJRjWO0YEjZfNTq9VQq9VkI9EmiiKDKOyj1wvQ7/eL7Wo5QmwYKZcd\nMwrblRN3Q8i+MS29FHQksTeKOMyThCbxNsx2m6m5Zhwvf5xRZF0ZUWcmuhaNh4IO1oHLkWpldeDS\nNgRlhJrabi6XkWllJJrevktkWtqfcbwSMi0lsbL95kmzLOlXcoySYxYfb3Cd6m/YtuyYysZRPNb8\n+Mr6FW15YRuzjzzxB8iyeFDL3OS+4BCu+1A2YJekyz5l8GSbirT+OoTDp4LoqbqJJvuqlQgVXxBD\nrpfAq8r2PhuofEDclLzjScoLUZeAuz7gy/8qPuD5yvesTzIl+GR/FdP6i0xysF4GUHjfyfz+IclC\n8w2X30fbgFlqD054lvjLtQXjKZcVQ5OBLOIZF625r+NF4O0WnKQDOBxJn6G/Lsaycq6JVVU3sF/B\neigelzZCB5tRSga2NQko/nbiGG3pR+6TPnq0J5c7pWQgk+RhzEIwFsnTKbEMq2WDGJy8hiAG25qw\n9mELCwuLyxJTIQbvvPNOAMAP/MAP4IMf/OA0DmlhYWFhMQZ6vR4efPBBPPzww1hcXMTy8pGUPLsM\n4HkePM/D7OyMXEPBOUcQBJow7PdD9Ho9hKG1IltYWBwSuB7g+yDUF8ueD+K7qUqVAAXc8qUNzoFe\nF7zdAnf7Yl3lEvVFW1hYXDLgODwW3cMyTotBTIUY3NgQevxXvOIV0zichYWFxSWNsQJLBmzFw8EY\nw+rqKlZXV9FoNLC8vIyFhXkQ7SHbfVvxsD7KUf4Qt6PwlqJ+CEG1WkW1WpVzIPpljKPXCzVZ2O8F\n6PcDJEnWZ1ek1FOKM0JooVIvr/wbZekts/MW9WeqB/OqP9VO7ZdX+un1OXXfMFVfPtyCFvRNOS20\nxk6i5CM55V8a+pBV+4lt6fsjHxZh7l+kpjODI8qUd0Uqt7yKLa9ky4wvp7obR3GXV70NU90VKe0I\nSKEqLrsfL9gv28Z0iubbZJSGmXMxrmE5xWDxcXjBuvw5c32c7FwPnkPRv/Pt1L/NNg7hGXUgAHiU\nZZepuV5cGzyHwZU2YIcyuK5Ydp0EnieWqVQMmq8doRxUBoo4Hk8twYYikLgOuCNIQFCpAHS9zGyp\nJc6h1YWEIlUEOgApkkDq7SSjEszIIidAYdCLqVBjXCgFASFoMxKFlXpQN1fJwWqlkS6cUQnGAE9i\n0LAFB22AMZAGQSytwpv/Lh6F1rfrWO2KH8VWA1+rBDcjik1pGd6OUpVgJ2boxELZ12WmZXjnKsGs\nPVjZgtnA9kHr8DjhIsBuqwStjdjCwsLi0sFUiMErr7wSn/rUp6wt2MLCwmKaGMNWXIROp4NOp4OH\nHnKwtLSE5eUj8vpdbCtW2Ckxt2fW5AnPW6CYCAUASgkajToajXrmAZdzgjhOEEcxoihBFMWIohhx\nnCAKE0RRhDhmYCz7UEZMYs4gAwfJw7RNnvjLk37U2G6SfcSw31KDDMwTfOa6DKnHaaaNnhODnDOJ\nPJ3GmrPjmutTsi1redUEHjXbonBZ75cj7/JtsqRVSoiZpFl5H4P20aJ1ou9y4s0ca7q+mHgrOk5Z\nG70tM+Zi4i17vixz7inBN5xgy4+/aNnsKz02N47HS+cgPQ4fOEdxDG6cl7nv4HqS60Odm7mPuS4z\nbsIL98kfTx0TEESeQxXBx+FIUo9SDtcXZI7jpcfknECVjVMfeepwsUwIOHEA1wUcB8RzRBSx4wCe\nA+65II4j1Bl5KzGBfqEJBYhKHCYkrYhQah8m+h/6MkSpQRLSckKwIEXYRGZdkiUExV9kyECeGOvN\nZUAU44/NPuTqJL31UXQFGRj3wQKGUJKBa2frWGsLq/BaXzybrIce1mW68HZEsCUtw+2Ia6twN07Q\nVmQgj9AnQnVYRAbGPEDEuvJUIySSGGQsRixrCXKwwqRhGCnD5YnD49qGLRloYWFhYTEaUyEGb775\nZvzhH/4hPvOZz+D5z3/+NA5pYWFhYXGRSJIEFy5cwIULFzAzM4Pl5aOYm5srVn1cxiCEwPd8+J4P\ngKREHSEpiUYoWJJowjAMI0EmxhxRKIjDJEoQx9aubGFxycORBJ/jgXBB/lFPrKO+JAEpzdTEI1QQ\nj2rZurVKkCRAuwXebgHVBKhZq7CFhcXhR2lW3gGDLVN6eDEVYvClL30pfvM3fxO/9mu/hpe+9KW4\n8sorp3FYCwsLCwtgYltxEVqtFlqtFlzXxZEjR7G8fASe52UPcxFKgp3Zii8CRd9ccnM0SIA6uXWm\ngm7EuDkDpQSVagUVAA1kiUOSUf4JuQ+TBfU5I2CMyWWhuuGcCPUNE6fCGAc4BeGOaMuI3MYB7hg2\nWlNJ6AyoALM2YJIqEEFzqkIqZ8QpVAemyyV2X8MSXGbzVcEcebuvmQqbsbEWqAP1fjmba1kf6XEM\nFZippjP6yy6TwvUKJKOEG2yTVyDmFYbq2GWKQNVH4Tnm+zBVdplzyFpn8+uIVuGVKwL1mIx1RYpC\nGMq/vEqw6BxNK7Feb76mhsJP/VudX0YRWKACNJWGoIZaUSv/xIGIOiDJ/kcokayd6IQ64gUklIC6\nkG0A6hK5HSnMdFy1ikCkADNBBBLHOC/tY06XiWuq/VS7zIukv+2T7Jt/ILREN8pf+9whKcJlykBT\nBVgEYz+tDOSGStAIEeEsTRQuChPhEUDRE2EitCfSkueAeAtofUuc5PrGjLYKrwWVjFUYALYioC3V\nm60I6ETigJ04QS8RG3o8zqgEQwilYABpGeY9xFxsj1mQUQnqpGEeaZWgqRg0k4bLVYLQbadlG7YK\nQQsLC4vLA1MhBh3HwZ133onv+77vw7Oe9Sz8yq/8Cm699VbMzc1N4/AWFhYWFruEOI5x7tw5nDt3\nDrOzs1hYmMfc3Bxcdyq3k8sGhBA4DsnYh0GoJqCUNZiCaIaAgMIh6nUwLL5IiUFhMVaEnAPCid5X\n7ZXCrA9ItFXYJAwpNyzQJQRg4XqSrjWJQbM+YDExmJJOmVp8OWJQk3om+VhCDKb9ZY+jlw2OBSY3\nYuyXPZeC/sraZwi77Drk/k3N4xcQg8QYt+CoDDKNDK43zzNDXJaMs4wYTM99kBgkGWLQHCvPkH0m\nMQjzfPXxDTJQ/4iQkohlluEBIlT3U2DhJsZ+JjGIyaAJO8K1wg+EZ45psUsIQ/BuB2yrA+JJgq0x\n6StmYWFhYWFhMbUnuYWFBfzN3/wNvu/7vg+vetWr8OpXvxrHjx9HvV4fut9HPvIRPPGJT5zSKC0s\nLCwOB3ZdWTdKRVCgONze3sb29jYAoNlsYmFhAfPzcwNKwomGUaAcHDfMZCKo8zHPeyJlpUHYDYFS\nfphtlfJmnP0nAQfTqhQKCkYUqQfowmI8gUotYEgMEkas45wZ42J6bwaaKrxA0lphxHjNeDp3SkeW\nJwUVjUR4SgByQlJiiHOYVJM8hNGvEfTBU7Ua4UJpJfpId1IZCZyk46Mwgln5IEEEAMwgDNNZSHfM\nk4VqXwbjLZRyXEqIps8nX58wQ5rx7HpmHDP9GBh1EvXJGKRZ7nxVH4RwMRnIEYbGWz9DLurXxXjf\nGudCjdfOVNOmfXDdnhqvrBDhpeNIzz1L4uU/jSahCOM1yBKKPNM+E+ZhqBTNfw+cL+Ga4TMFcsSo\nSWj+1edFzfXmcQdORPTtporAtE4h9Mc1UyswpwzU8+0YO5s1A42wEJJheye4d5RdonKBIWJVTiWo\n2pjKQFPEJteLYBG5LuHgsm6gzOcY3C8IwLsdoNcFdcX1zpkRISMAEKxwrJ8TzxYb7RrWA7OGoFIJ\nEmzLGoKtSByvG3N0VC3BJEFXKvn6PERPqgQD2kdIhEow5F3EUIEiu6MSLA8XUZM6OCFj1RS0KkEL\ni0MNDgLGJ7h27yMOi+XZYhBTIwbvuece/Kf/9J/wwAMPABBfIM6ePTtyv36/v8cjs7CwsDgc2DOb\n7TgPDRnSLEOVAADa7Tba7TYeeughNBoNzM/PY2FhHr7vo9xLprA3oSa7BxX+Mdk4OOcj98mkFWvF\nm2krpgAZJNnK+jIDTFJirVgxCKSEoKkcpAa7MEoxSEAMAsrcTvRyOj4zDXi0YjAlz7KEU0ouXfqK\nwQECskQpOHhsnunPXF+kEjTPuXCewDPcU0aNWKIULD5vwzKs98nagE3FoEkCpuMcrhgkub71foZq\nz1QJ6sPmSL+M6tBUAeZJxdw6k+DL1gSUx3aM86FG3wVBIMTJvbnSwWZIQHM1AMChhcEhmZMHsk9w\nwy7TjEOHiBeFhqj9VXCISQyaacImx6W2J0aICMuTh/Jvvw9Ku0C/CzBprXU5oi2xubvhY21LkoG9\nKtZDHwCwHrrY1lZhgm1JNrYjYREGYJCBMfqSyOshQEgEwRfQPgKSBoqk6cJ9HSJyIMnAtLPybWYz\nSwZaWFhYXNaYCjF49uxZ3HDDDVpZ8vjHPx5PfvKTsbCwAEqHKyaOHj06jSFaWFhYWOwSVKrxmTNn\nUKvVsLAwh4WFeZtMb2FhYWExBjgQ9MHbQhkIxoBmjgm3sLCwsLCw2DVMhRh817vehe3tbRw5cgQf\n/vCH8bznPW8ah7WwsLC4JLDnijlCdhAjphQKw3/c6fV66PV6eOSRc6hWq5ifF3UJa7Varq/yfsZV\nMgzYkDMqx5L+ianIGOc4Y9iHuQotmE4aplkfkBiyIzrifVNeYzBd1io8nioaxVq1PqseFNvTuoI7\nUQkSYzltC6OtPvFSleBQ9VtOJVgkpjLr+Znrx1EJFtfUK1YH5vtXy6ZFdpwagkXjzAZwqPV5xWC6\nn1lDMN2v4BgZS3B5DUE9fqTrimzAql26vlgRqMdZMKZs3zyjCCxUARYEpZg2YHMezFqBeUWgHrOT\nHtvc32yjTpgYKkFh+VXti17oYmWgiUygiHEuhZbhcdSC5nXQDElPCq6PnKdCNsNKzBOjT60cRGoT\nNrvSKkEOdHvgfaEMdKpcnHND2IqjDbFTe1WoATe369joix+bNkMfW5GyCTtoxeI8t0KCtjxmJ+Lo\nxGJQvZhlrMIA0CMBAipcSiF6iMigMtBUDJqKQFMlqK7/jMepMtBcHqoSzCn/ePbfux0yYlWCFhaH\nB4PFNQ4qDss4LfKYCjF4zz33AAB+6Zd+yZKCFhYWFhNgV0jBCS2wpdB15XbWX7/fx7lzfZw7dwG+\n72NhYQ7z8/NoNOoYl2jcfZg+vOEEZTnK50PV4iubMjOJWC+XEIqi+l5KvonG+baG9VfZhEFASLo8\nCpPah/NjMgNHKNI00yyxla4Xbcz15pkowonodWYoyTAyUO0LKEIpHYd5jMJwD4M0K+wP2e1F5Jjp\nAi3gbvRx9LJxEIqUCMtwSwUWXb2bYRM2x50nAx1jfTrWwUcOmnsMGcceTI3l9FzM8y22BpukpDqO\nQwctwVnLcT5wJB1nERlIS+v/lZB6RtthJGApAZhlLgutwsJKnH/DZ8nAsS63mUKUgk8iZmFLVYAz\nX/xpVB3AorZGP5xDpAerf+jEYCNFWO9jpAgbpCEJu6DoCZsw52ChIATDNaC9Joi/jVYNWwYJCABb\nkYutSFzXWjFBR46jHQMdaRnuxgxdaRnuJgn6TFmFQwSS+OtTmShMAoRcWoYRIGaCJEx4DCYLHubJ\nQLW+mAxk4Dy1EmdThUcnDSvsVeKwJQUtLCwsLExMhRhUD0ZPe9rTpnE4CwsLC4sDjjAMcf78eZw/\nfx6e58mahAtoNJqYtJafhYWFhcUhAWNCGdjtAP0eQDlQt9d8CwsLCwuL/cRUiMEnPvGJ+Ju/+Rus\nrq5O43AWFhYWhx5TVwoWpfSOhZ0r/ZSiLY4YVlfWsbqyDkIIms0mGs0GZmaaaDQaI4hCUzkhxlCU\nbJw5bml/zoh/m2PPnm+Zyq/oWDpwZMicFW0jhgrQRDZwJNu+CGbgSNZCrJaksm4C+3DpeeTsw1Qn\nJWdVgmn7rEJO9WGq6VJlGIzxmQq5QXXeUPuw0bcWb+UUeflXI6M6zCnoHGMcpmIRxvLAq2uoBM32\npjKRDth2U6uwOnbaXVY9mD0vqcgzVXEwLbyqv+x4supByD5Y1ipMs2My04KB7DkWqQQpSVWBeXuw\nHkeR2s9YzgeHUGfwOBimHFRtjTei7i8fKKIPYsxLwUeirKrAOD+CTHJJJloRyMG58WYpU4cVqAAL\nj2m6XMuUgWUitpiJeoG9PhD1gCgSCcsA4AM8BIILou32WgVbHVFmYrNfMdSBDlpxqg4EgE4MrRLs\nxEBPWoZ7MUM/EYPpsxg9qdrrkz4CKgNF0NPpwmaisLIJJzwCM+zB2irMIp00z1isl02VIIx12e0l\nKkE9UcPCRXJt87BKQQsLCwuLi8RUiMHbbrsNv/mbv4kPfvCD+N7v/d5pHNLCwsLi8sZOVXfD6g0W\n9jmcECQg4z2IEEXqUbTaPbTaPZw7t6qJwmazhpmZGTTqNf0wPdkDzk5twsMe3iVRZjz1m20z5J62\nCZskWHEScfYQaZv8+oFjmKSeQSCaScS0lOzME4QYyz4s/k10m3Q/czsG1hfVEjTblsHsN28fNkm4\n/GtmEnmZ/gwiJ0Pw5caS37XUGp5bzhOCUP3m9i9KG07HXVAPL5cuLLYZRN6QsRZbo7N1A83x5oeb\nTzPOWomhl9WORWRgZtwDicKGbbggRbiIDDSXM6nENHucPCFYVFNQ7VcIUnDNGdfuWwDO0/IA6W8s\n3LD+YvSHwmiTGZ2qCZixFBfsmw5mcL12GueswUV8ltqdMRDWB2F9QQh2RQ0/hEASyMWOg+1NQQBu\n9SrY1gSgh21ZK7AVU4MEJOhI4q8rycBezDUB2IsZAplW3OcxAgiLb2DWDSQ9RIoERJCpGwhIm7Cy\nDBvpwpwnmiTMk33cWK/n4wCSgcOPYWFhceDBMVAJ4qBiWMC9xcHGVIjB66+/Hr/7u7+L17zmNXjH\nO96B17/+9dYqZmFhYWExEpxztFottFpbOHv2HAg4ms2mIAmbdTQaNXs/sbCwsNgvMEMRGAhFIHyA\n+Pa6bGFhYWFx+eGNb3wjNjY2pnKst771rZifn9+VvqZCDP7jP/4jlpeX8TM/8zP4hV/4BXzwgx/E\n93//9+Oxj30s6vX60H2f97znYW5ubhrDtLCwsDgQ2LGNeLcIsl3oh+SUXcMbF9hmM+uyKrd2J0C7\nE4BzphWFM82aJApT6zEHTwU+Y9uHh6HYPjygEixREKrtwyzE+T7y9uFUnZcq/Ihpzx0jcMRMIqa5\nsZiBI+PYh0clH2eVZuVth6nz8iuLusmr84b1NWz2y/ou2l4UOLLb4CiZj8K2RKvtdq6PTcF4eo6T\njONiker9dkcekQqrSEYhKLYNrgNUeEdRZ4YCmqleAeXaBYUetvme4AnSCTRfHI5BFWKZAnHYC5AP\n+hgYt7HIs+MX6zBUBUgcY10iicB+HyTpgRCZ9BHL86RA0gH6K2LA7a0qAGCzU0Mn8gAA26GHViyV\ngZGDdmIqA9UyR0+qA7sxQ6DswYZNOJAyxgCRDhOJaIgQwiYckSBjFU6kkjBmQcYqDMgwESbDRIyw\nkHygSJFVOJ3Hi1UJjtDa7EAlWHwcCwsLC4u9wnvf+16cOXNmKsf6uZ/7ucNFDL7uda/DF77wBf3v\nL3/5y/jyl7881r6f+9zn8IxnPGOvhmZhYWFx+LEvirniGnhjoyRNt4wQzK6XxJVc1+3E6HZawPkW\nCCFoNGuYmWmi2Wygrq3HiX4g5pwbJFWCSchBw7xavJ5QpOm3tGA/g1BENok404dhCTYTiPM1AcX+\nVLdN7bkOsgReWV3BYgvxKOQtveZfM4l416AJ3uJwbI6BYNb8bhP1DZKtnqmpKuPYmeMVHKhsTAyG\nu1M7Rom23HJurk+JXBCu3aEOCJiy2ZrP/Pq9xzPOVN0fNw5KuGa0uGnFTl3AYAV1DwWZRXR/JNO3\nIibJwLHFX/Ue4ZnJVsehIJooSziFo+q56e3QtfNE1QO1bNbHS8k+wjioOXCmPmNprUGzPwVCUuss\nMVhnbsyfWXewKKHYnGo9eD1I+TcxSEUDmUThgv3LPl5FvBGP0+NlthscFDEugWYbHkFbgymEIpD3\nI0hODXEAxH0xsPZWBdtdQQK2Qh8dbQlOCcBuItp2EqItwZ2YoCff2P0E6MkU4X7C0U/kMksQyIMG\nENbkiESIqFgO0UMsCcqYB4ghawWyaCyrsNhuEIAGMTi8bqDC+GSg6H9C27DofPj2st0sKWhhcejB\nYf5odtBxWMa5d7jpppuwtrY2lWONEtlNgqkQgxYWFhYWFtOAsB630Wq1taKwVquhVvNQq1XlfzW4\nrr39WVhYWGQQx0AYAlEIHoZgnQiII1AfQG2/B2dhYWFhYXHw8e53v3u/h7AjTOXJ6CMf+Qj6/f6O\n9r3iiit2eTQ7w0MPPYSHH34YlUoF11xzDRYWFg7scaY1VgsLi93FjizEEyuzxjEYFikXRoeMZFeM\njpHINNfti1WCRYq7fH/aUktc3Y4QChYDnRbQ3g4ABAC24LgEtVoV1aov/qtVUam4WgXEualAUmog\nZgjDxjNqFqUXFwWODLST8yAUVGmbwQRiilF2XgonVZ2VtlGW4fHOK6PwGhOcc52pQHmqDAMn6XoM\nV/kxcLEvAE54oTKNcSNhV9vK044ZSd99zFS0MYBmLJ569eCrnctpMEVpytVJcuuz55Ger/qr830J\nQLU0Me2P8vRTJmzy8txNS7PxuqhLQwKAcENxp8+dwNHpvek70AyzNYVrqVrSCD4B0SoGkYSsVIyG\npdlQDJoJ0HqA3GzP9WtACXS2snqrZBWMZjgJQarkM9R8hBufX0O8SAeVhuZ+3FAuAgAx1XUk+94i\nZpqMeeyMP54PKFwH2mBwewaTXOozKlIYb3j1l4EkgvzjUQiwCISH4kWOAemoBZQysEPQWxPXpG7H\nx5ZUBnYiD21pD27HDjoyObgdU/SkPbgr38DdnDIwUMtGinDIWGoP5rFWB4YkQCjVgUoNaNqEE8RI\n5KBFirBajjNW4dQeHOUUgVnFIAzFoJjOwUARc98UB0MlWH48CwsLCwuLYkyFGDx9+vQ0DrMn+LM/\n+zO8+c1vzlifHcfBd3/3d+N//+//jeuvv/7AHGdaY7WwsNh9TEwKjkUI7rTK2Oj9hiXljtPXKMtw\nORGYXV9EHlLq6n+rOnsOcY31jiAMA6AbAN0tDqAHzhn8CkW1VkGtWoFfdVGtVeDIOyXn3EihNO3I\nk0E/sJkPjmR8snEvoIk+wgBJDjKw1GJMACbHa9YeZOADo85aZYlBgvEsOWdYZBUblSB9a+t+OQcj\nKQHISNqJJnIIjNRkg3hRhBgxCcc0G5cYNmAGgDLj2Gochq04TQA2ysRxkzQzU5gNEg7Z9fl3jkkP\nUN0KGYKSIiWXRM1Hua9B2JlkITHWKwKXG4Mi4GCGjVZbidVcG/tlCDRONJFHjG2UkEx/6hiapOUm\nsUdyycXpMRP9GqQJxUUpwtQk4WCQosSYtEzisbF/kvaXTTNOXxnzslOWXpzfJgjAdM70uMsinnnu\n30UwmHI91y7PjC/PT2lrMOcgSQgkoQgFiULwXggwBs7S923cI4ikJbjf9dDqpMQfAPRiF21pDe4m\nVBOA3SRLAHZlfcCAcfQlqdjXZCBDKN+sYZKmCIc80SnCETFqBZIQkVrmfTDZJpFsZcz62g5sEn3m\nsiADx7EKAyYZyHPEYDkZmJv4iyUDL4IIHH5MCwuLw45Dk0p8SMZpMQjrpRqCX/zFX8Qv//IvAxD+\n7Sc96UnodDr4yle+grvuuguf+MQn8PGPfxzPe97z9v040xqrhYWFxaWMfj9Avx9ggzP90Eko0+rC\nStVFpVKB57nwfX9/yjtaWFhYKHAOJAl4kggrcBSCM0ECIo5BHYD4RvsRIjULCwsLCwuLyw8Hlhj8\nru/6LgRBgH/4h3/Yl+P/5V/+pSbabr75ZvzBH/wBFhcXAQD33HMPbrnlFjz44IN4yUtegq9//et6\n234cZ1pjtbCw2H3snX145+qzscY0pjpwWLpwkdqvSB1YpgzMrDODOagn96YZlWBqMXYyllxl23WI\nBwdpe4d46fESAB2AdRh6AHoAGE/gOBSOR+F4HK7nwnE5HJ/Cc11Qj8DxKFzHAYNSGsYZxUmxLRrg\nUqHC4IAqFYuhXNMBEQRgOkDECFLhiZYNMSSgJA0fKQIzdH1U+SY51espqFY2JUgMdR4dsMVyYXTV\nx0vVaqlWj3KjjaGtozDtsqn6zLSmGoLBTIiHo0R2ZPA8KTdUZ9xQkSFVNBLkLL6yb5q3wKJYRQg5\nNjO8A0abohRjYhxDO5p5NqwkHQfJnC/Nq+lyKkKthDPmwjwOkCou8/MDAA5JXwtqvHaiXarO1PpL\nbqgOVVvzGKaVl5hqzrSkOjHUTsIqrPpDdn1+Dkw1paESVP9OR5w9TtaOnFMmJgV9FCQY59eldmVz\nv1x7ud5xDOWfcWy1jiAR6SFJAiQxCBcEIOFiGUkCsASIpULVuC6IAwhbcNIWK6K+g25HsIStXgV9\nGQzSjx30EqkIjNOQEPW3nxB0pTKwn4h/A4PKwJCxdFlKPyN5/Qp4gkinCIeIZFhIRENEKiyExIik\nPZghQszkekQZdaD6m1UGKgVgoq2/jMUZG7CpDlS4KJXggJV4mGJv72zDo49tYWFhYXEY8bnPfQ5B\nEOCZz3wmfN8fvcNFYCrEYLvdRhzHY7c/c+YMvvjFL2JtbQ0PPvggrrzyyj0c3SA45/jZn/1ZAMDV\nV1+NP/7jP84kvjztaU/Dn/zJn+DZz3421tbW8I53vAPvfOc79+U40xqrhYXF7mP37cPlZOCOCMhM\nB/m+xycBR9cKLEjsNYi+MgKQECetK5ipMejptmrZIW6GADSTeSkkkUgcOHLZ4S4cLpZdeav0uI8K\nFzdlDy4cQoEYcGMC0lNWyHSeGefpg5pH4foOiENAPQLXd+F4BMQlcH0H1EvthuM83GkiL9dU7csJ\nSy2jPKXb8unDAwRabru2kmbpJMNiOvjOovn2ypoKkiVITOJPrzPbpyup0TbtF8Z5GaQODBJOp/Rm\n9yuktXMEYCGRlznHbJ+qD6OL4jGZ/RjtM8vmOIwXucjKnJJtXJOj2bEZNQEz48uuz4/JJNsosgRb\nZkzmcXJvhuwccE3qEeTIucz5onA9MGgvNklH83zLicbsByZPBhYRgGZ/1OGgmvmVx6amZTgda6YP\n8w2nvOcsAaExKE3A4xiESZKPxSnhV0AWEQA8BBJZBzAJCKK+uLYFfUnu9XxN+gWxg75B+vWT1Abc\nV8QfI5rs6ydAIC8val3IOMJErUsJwDDhCNQyYwYJGCOSP4ZoApCEiIm0ASPIpAgnUGnBkV5OjPqA\neRJQTCMbaRNW7QSG1Q1UGJEuDBw4MnD48S0sLC4FcECX6jjo2KXLWina7TY++clP4itf+QrOnj2L\ntbU1NBoNXHvttXjhC1+Ipz/96WP3de+99+LP//zPcf/994Mxhquvvhq33HILnvCEJ1z0OE+fPo0z\nZ87goYceKiyr9/M///PY2NjAO97xDszPz5f285KXvGRoP7uJqRCDN9xwA77whS/saN8kSUY32mV8\n5jOfwVe/+lUAwP/4H/+jMAb6Wc96Fm644QZ84hOfwPve9z684x3vAKVFjxp7e5xpjdXCwsLCYueI\nowRxlCDhTNdZ42CI5YNjIh+YiWKtCEApBaUEhBLxl4j/KCXglOtlczsoByUUcDioCljghprSoIwo\niK4nmK6jme3mv7LrTWIwTy5miSmqybksMWiSfeZynhgkyJKIab9ZMmsYMVhGa5f1l1f4pcQTGWhb\n1p8gwgrGZLQrWpc/91JiME9WEiAh2f3FPjzTJjM+o9+UqCsevybhkCXtMnOGLMw+YBCD1DgeI9nz\nS8ltsx/VQ0remTUGeY7Io8ZydkCD/05JvXR8HDlikEDKMBOAJrKIkizSRxiIXBbHk8tgoh1nYr1Z\njFKCVjjk7w8GIwoLCwsLCwuLHF784hfj4x//OKIoKm3znOc8B3fccQce97jHlbbp9/t43eteV5ge\n/Au/8Av40R/9UfzWb/0WGo3Groy7CO9///tx5swZ/MIv/MJQYnCaOLBWYgB4xStegWuuuWbqx73z\nzjv18s0331za7qabbsInPvEJnD9/Hp///OfxzGc+c+rHmdZYLSwsdgd7Yx0uCfgY91gjE4QHjzFo\ngS1XCO7EHjyuMtAMK3EMpaAYkZcqBpGqBB3iweWpTVipBF3uwuHitujCgcfVvuLcPOKgQpXqkMBT\nx6FEK7UcQjI2VZeq9eKvTwkcuc6j2fVU9zGGYtBowhkZKkzJqqbyfWSPxY2OyvbLkn6jx1eohEOW\nHBvWZ9m7kxhqujwplSfNxLpBMqtsfJmQi4Ixlc3NAPFWQLIVnY9JZpljJcbysL7z+w22NedpUKln\nrjfHVHhexOyPD5CQJhxa/MakJH8s+ZdmzyWv4MuQp7R8vGa/qk+SIwH1OuMEii6FhHAQ11Ap6gGk\n+6iwD0Kz6wtf7JwTVQrgkARyc0AQdlMFYCSDPlhCEEm1X8yoVgSGCUUg14dMWX8dBEwpACn6epkY\n64GQDSoCAyaUgGK9tAMzrtdFnCGUwSERZ1oZGCLO2IMTrRg07cCRXmYsMtaPHyJSZBMGDEswZyiz\nCufXyZkvWb9Ty3DB/gM7W4WfhYWFxaT43Oc+h4WFBTz3uc/FYx/7WJw6dQq1Wg0PP/ww/vIv/xKf\n+9zn8OlPfxrPfe5z8dnPfhaPfvSjB/rgnONHfuRH8KEPfQgA8KIXvQi33HILKKX46Ec/ijvvvBPv\ne9/7sLq6ir/4i7+A4zgDfVyqmAox+Ja3vAVra2tD2wRBgH//93/HH/3RH+H+++/Hy172Mvze7/3e\nNIY3gC996UsAgNnZWVx33XWl7b792789s8+kZNtuHGdaY7WwsLCwsLCwsLCwsLCwsJguDsvPCXs5\nzo9//ON48pOfrN0gJt70pjfh9ttvx4//+I9jfX0db3jDG/DHf/zHA+3+8A//UJOCr3/96/GOd7xD\nb7vtttvwlre8BW9605tw11134T3veQ9e85rX7N0JHTBMhRi88cYbx277pje9Cf/5P/9n/NEf/RGe\n/vSn43/9r/+1hyMrxje+8Q0AGFnb0Nx+33337ctxpjVWCwuLneNAqARHqgJL+ivcb3j9wLxCsKxu\noKn2Iyocw1AGmsEhpkpQ2V3zy7o+oKESVApAB56uFegwF66qN8hduEpJCAceUepACk+WXPCkXMql\nRC97lMCVyw4R6j+1rFSAlAgFoWivtnN4crtLgYpULnmUw5WKJ9ewSBap1cScpMowU2mo1IaesZxX\nZymY9WrG+SJXpr4rqntT1l9RH8PUeKIvUro9r4zLj62o3TAUqe+AMT6Oap8x9s8r88T2wdp3+W2m\ngk70M6oPPrCNGqo5IFXOFbUdBlJwbqaCL6/my6NMMFWm8MuPt7BPRgrbabUhTS+DpfX/ivpnBDwW\nfTNOwKTCj8n6fMIhXPwGMcekzjlJqF6OEwdxTPUyAISJg0gq/8KE6uWIGcucaHVgxFIVoFIABoyk\nakCjZmDICEIp5w0S6OWYcQRJuhyxVB0o9kv0coRYl0CISISIhHJ9qOsDxiRCzKVSUKoEOZheZjzK\nrFe1BLmRBm/WEORgYHLii8NEABTUDLwolaBukF03XCloI58tLCws9gpPecpThm5/zWteg9/5nd/B\n3Xffjb/9278tbPPWt74VAHDttdfqZRP/3//3/+FP//RP8eUvfxlvfetb8epXv7qQiLwUceCsxNVq\nFb/927+Nq666Cu985zvxUz/1U3Dd6Q5zc3MTALCwsDC0nbl9a2trX44zjbFubGyUblPHt7CwGMSO\nAz8mJAUnIwN3jwDMrs8FhGRIv0FikNKU1DNDQiYlAM2wEA8VAIDLZFiIQQwKWlASfYSK4BAAHqWa\n7HNISvZVnHTZl6dWcQCXEGNZkXp5YlCRc4AjE349RQASrpcrlMOnajuDJ5cdwuEowsawgYr5gV4v\n/p1aSh3K4Ko+KNN9AMWECmdkgKApK25dRi6W7VtGlJjIWlUH+y8kHDkpJa6K+jA/Sjt175V9HEf1\nV7bfMHKrCJOSdsPalllxR/Vb9nrmybtR52YSZcXHAbgslEgIGewvt38R8VYGk3RM142eT86JPg5j\nBMxYVtvVe7VsPIwTPYcJo0jkcpRQxAbxp/5qYjBHBkay/4gRRNxchmw/SAZGBhloWoZDkwBkHLGx\nrElA/TfRluEYSSZQxLQMp8EhaYgIM+zDqTU4Si3BO0gXNv/KGZ6YEByJHdmH9wfqO8BBHZ+FhYXF\ntHDllVfi7rvvLqxD+JWvfEVnM7ziFa8o5JgopXjVq16F173udXjwwQfx2c9+Fs961rP2fNwHAQeO\nGASAK664Atdccw2++c1v4oEHHsC111471eN3Oh0AgqQchlqtppfb7fa+HGcaY11cXJyovYWFhYWF\nhYWFhYWFhYWFhcU0kCQJ/uVf/gUACtOJP/nJT+rlG264obQfc9vf//3fW2Jwv1GpCOVHHMdTP7bn\neWMd22Sifd/fl+NMa6wWFhbjY/etw+U24IFjjaESHBYckt9epg7M95G3CVMibcC54BDTHqzaOCQN\nCRmlDPR4BY68dXnM15Zgj3vw1PoCO7DvUHjEtASLcXuUwJen79PUNuxTjqpcX6Ew1jG5LlX7VSjX\naj9hCR5UAfqOUKp4DkuXvQSeK5f9BI4r1X4eB3Wk8oOagQnIBhtAqqDknZy4AJE+ZeIS4UlGyVtC\nYkAUw8ZQnAwmmMhls9/i9Wkfow9TuH9+eDsR5eb64OOccxFKXIPmnJbNfYEYaeoYJ3NolMsSwI5e\ny1w+xGioY+T2Uaq8YZkRY2Ur5WD2xzlSK3FCwJJ0WWxPFYWmrZgZilxuKgYTijhR10oOKkVsRbcA\nYaOXg2E0M9dMrSap3V6lUrs0nQYOaIWiKDcAuQwweVBG0hRokWWUWqfFOgrGZQgKuL5Ou9wFk9c7\nh7tgRJwMEVd7cXxVJoIz/XklcLSSj8DRCj8KqkWhykYs5oamn9uMCnjSD5K6142hHFRvHOMYBORA\nq/IO+vgsLCx2Bg5S6ug4aBjHMbIXWFlZwetf/3rcf//9cBwHb3nLWwba/Ou//qteHpZafP3114MQ\nAs45/u3f/m1PxnsQcSCJQcYY7r//flSr1ZG18/YCzWYTq6ur6Ha7Q9uZ25vN5r4cZxpjXV9fL922\nubmJRz3qURP1Z2FxKWMiUnBPyMDB/bIk3iT24LS/YfbgdF1aJ9DRxGBqE6bE0+vzicFmXUBgkABU\nCcE+XIMApJoE9B0K31GknhhTxRFpv2J7uizWc9k2rfNXdTiqeplpErCm/8aoSiKv6saouOIHGd9L\n4Pti2fUYHC8l+JyatARX5GzWCGhVzlnFAalLC3WtClTFMlwKqBQ0lwLyfArjbx0HcGVbzwOq8oef\nSiVdT+n4fli2A8Yqv0+GFLwIBozl2BkAiJP03CnNtqEFrElhv2OMb9S4s7HQxetL9zXax5KgoLS8\nzbjIH/ti2cfMPPHxxqT2KSrqyHi6nbG813aH42LpOt13un0k6TvopR9cjhm49N/yiIGH0sqqPLmJ\ncRxmTHtuWQb5gsdAEsq6ggFFomoMyr9R7CCKxGe3H7uaRIwYRcgcvRwkht1YPogFkhnsM2rUGwTk\nkBEkIplY7AfEaj0jaeowg7Y3m6nEkSQGI+4iktfjCDE8qOVIX78TRDqNmEorsUNcbTsmiMDlvSDh\nMQhX9RoZiGwPaiYKJ2By32KC0LxvsSz5X0gkOlDkoNpPbCthoMcGHW/f3ahxUNZ17vuBJQotLCz2\nA0mSDC1HBowuhVaG9fV1/Nf/+l8BAGEY4syZM/jSl76Efr+PxzzmMfid3/kdPPe5zx3Y7+GHHwYA\n1Ov1oceuVCpYWlrC6uoqHnrooR2N8TDiQBKD7373u9Hv93HbbbehXq9P/finTp3CAw88gDNnzgxt\nZ24/efLkvhxnGmPd6YfWwsLCwsLCwsLCwsLCwsLi8sHXv/71keXI+A5/GOl2u4WJw49+9KPx9re/\nHc973vMK92u1WgCARqMx8hiNRgOrq6s7Khdn4p577tGEpIkwDIduz7ebBqZCDJ49exZBEAxtwznH\ngw8+iDvvvBPvete78MxnPhP//b//dzzwwAOF7U+ePLlnltjHPe5x+NSnPoVHHnkE7Xa7VGF37733\n6uXHP/7x+3KcaY3VwsJiOHZPKQiMFS5yESpBMtRaPFmKcJEy0Fx2iKtVJJR4cGVAiEM8eFwse6jA\nY+J6XqYM9B3HWBbzUXXM5TQkpKrXpXbgusNRlbZeUw1YpQx1qfyruzFqnliueREqFbFcrQsFi1dP\n4MlLLG0Q0KY895oL0hB1XEndBzzlTXYBuR4LswAAPjsDqJqvvgdeEfVhue8LxR8wqB4bF6aiK6+k\nG9XnTpVzZW2LvuxNqoJT7SkFVLkMxorPZaTCL7udFKnphikfhx0nc975PsrmlY/YPrie5NeNmuNR\nxx51zLLXc1i/5muWb58ZGy9XWubbDRtnkXLTUA+SUf0N/Ft5nQ0FYpyAmO2K1JBln6+iY8cMPJAJ\nu2GiZXs8kqrEboikJZV6bSAJRN9JRBFHUj0YOQhCcf0JEwdhLBWGiVjXjx30Vcoxo+hLBWAvIehL\npWGfkYySMNQqQY4wUWpDlY7M0wCThCOQ5xUzH4G0/EY8QcRVEEmESCr/QplabKoIE0RgKqiExLm0\nYnEOlMe5tGJHLqdJxWYQSTacxLT/puu1OhBs4OMzKOKTfZj3R84y9+NiNZ75XphAPbjLykHd/cjx\nWlhYHAYcgAokY2Ea41xaWsIf/uEfAhDl0h566CHcdddd+NSnPoVbb70V/+E//Ad86EMfwvz8fGY/\nRbKpUmzDoHimURzWKHzv937vRW2fJqZCDL74xS/GF77whYn2+exnP4snPvGJpds/97nP4RnPeMbF\nDq0Qz3/+83HHHXeAMYZ//Md/xPd8z/cUtlMFLB3HwbOf/ex9Oc60xmphYVGOsUjBPSQDJ7EKT2oT\nHpUibNYSVCShS6raBkzhwSOC/PJ4BR4kAWjYgyvwUFF1Aam0BlOKqqPqA5IMAajIvpqxXHc4arIu\nX12Sfk2XoS6tvw03Qk0SgA0/QrUiHjirtQiVhmjjNjncOXm+My7IvBg3mRGkHmZqwPEjACTBJ39x\n5LUauCT7eP4HqzyJUmYZDYKU/Cr90Yvk/ubWUaTkQxKnD5pkiJVYQ05k/uF0nOdIfY6jyBFnfFJq\noD/5dYVSIFG1yVjxsQuP4RT/O3Ncp5hoyizn+8mtG5i/YlJKkXxcvh/Ev419zZdLjZFgfJIrT1CO\nJBE5BufEKbf7lpF6ijSTJFemX17yGnFWbOEttWg7BevM/Xh2WW9nw+cs92+9K2fy7WX0yZn4SHEO\ngINH8vXj3LBJ5+zNcpnHhofXpSBV+d6WNUaJR0FnRFuPEsM6T1ISMYjA++JhhUccSVe0j9uibW/b\nQxiKeQpCF71IXGuD2EE3Fsfrxq4mDPsJzRCGym7cly9jn1EEcjlIuEE6cgSSjAwSplOOA5Yg1ISh\nuK6FiEvTjCP0xTSRSK+PeR+J3JfxSFuSRyUYc24Qhpm04pQwJKBpe70fNAjJf2QMkjBXc9DEIPE2\nAUm4h/ZifQhLElpYWEwJj3nMY/DP//zPe9J3rVbDy172ssy6N7zhDfiDP/gDvPKVr8Tf/u3f4gd/\n8Adx1113ZdooJ2q/3x95jF6vB2A8deGlggNpJd5v3HzzzfB9H2EY4r3vfW8h2WZKWF/wghdgeXl5\nX44zrbFaWFhYWOwGCMTDIkGG1CMuQBTB5BttJ4UiA2NkHmZ3XAt6HMXLqAdekzgqazvmQyolaVvO\nhvQ3JvJjN/9tPpyPW6+P8PJ/0wKiS5E+jJeTAUX75ccHjFDaTaK8K1Hv8bI2BcSgo4jBkuPl+yo6\nfqb94PBL1X7g6XGHEZBF/RYRlIwZKsGCOp8DYzGWE5aenyIM40T8xxLx/qBcEPkkEuviqOSELSws\nLCwsDgccx5l6ObKXv/zl+PSnP43f/d3fxV/91V/hy1/+Mp70pCfp7XNzcwCEpZgxBjrETbO1tQUA\nmJ2d3dFY3vzmN2vr8m4gr37cC0yFGHzXu96Fzc3NXe3zuuuu29X+TCwsLOC1r30t/s//+T/40z/9\nU/zoj/4obrrppkybn/7pn8ba2hoA4Od//ucL+/mnf/ondDodeJ6HF7zgBXtynN0aq4WFxR6iVK1V\nfEPKqBBKUoZHqQQHw0SK1YFF60ybsE4UJl5hinAaGuLClcpAB6ZN2EeFyWXuoSJtxVXqwpeKwAql\nqMjlqlusDKy7apmjLpWBTZeh4ShFYIwZXyhKmr6wCjRqAWoNsa4yk8Cdk7M154IuKDVgXSgBAeD4\nEfCjQhGImSZ4Q/iGuWMoqRJJeHge4Jq3UGL8ZxB/VC4z2SYyEuQ5BCEAgIQRwKVdgaS/ZHJCswRE\n0fuhLOhBb5/EDjxE8TYJClR7pFCBNyGM6csqysZQyI1CqbV1gr5y50WKCC9TcRSP0XcZUVdE/o2y\n4Q7rb0DtmJuDzPwY7UZZyEtVhwbxZu42MhymiOTM7W/ainm6fngYSYl6kEGrVMG4romk+0pSUpcz\nGOdVoD4EIK4NLgAXhMrkYgrAl42qciwsASGJuOawRFqNJXnoEtCmtNTGHKQixuc0RB/VUzEg1dKI\nA7BAbGddoL8hriHdto9Q2pF7kYdelCoJtaowURZkB12tIiR6uZdQ9GVoiVAdikOGiYu+nDMVahIy\nhkiqCAOWIJIf5oCEiKTdOEKo7cYR+mBSYRjzAImyHksVocOjnNU41suT2I2JoRw01YOlAr6i27lO\nWB6myNuBenCPlIOATTC2sDhMMBPvDz72d5y33HILfvd3fxcA8JnPfCZDDD760Y8GIOzHZ8+exalT\npwr72Nzc1KTetddeu6NxvOpVr9rRfvuJqRCDRakwBx2/9Eu/hI997GP4+te/jpe85CX4yZ/8Sdxw\nww3odDp4//vfj4997GMAgFe+8pX4ru/6rsI+XvGKV+Dee+/F3NxcKTG6G8fZjT4sLCwmx0gL8QSE\n4HAysKgmYDEZmBKGWWKwqI1pA1brHOJmbMJOJlFYLLuo6GVFALqowFd1AuGhwsWyTzzU5HF8J7UH\nV12CmrQH11ygLgnB1A7M0XBTAnBG2YDdGDOeeBicqQZo1MUDZW0mQmVBPGy5S2Ju6FINZG5GTMKR\nWeDkUQAAX1wEVzbgRmOC+nsOEEviL3YA7opl6qTEQRJDx49SkvZdSPBCk4vc99M2RUTfYYVJjgCj\nCcFx6hBmxFlDyMFxMIwINa2/4xKZuXaZf05CZI6cJ144dk1Ejqt2HKVA1NuHkI6jyAuzbp+5j2kZ\nZrm24/Q9QFwWEI05ktGkbQbHaS6Xk4uZOVHrJPlFjGOaRdXN9cLRKgkog3TUzRkAJshDnjgpAckB\n+bsKCCHgRLwmPI7BHXndcWIgDgFEgExNJpSANuQ1scbRlAKOJkIA4vrJAgbWFeujNkF7U1zXe31x\nwF7koSPtyO3IQ1vWNOzGFB1JHnYTip4k7rsJHbAjCwuyqouY1insJ1WE8poZINJ244AEiOT4Ihog\n4uIHk1gSh4xHGbLQMUjCYsIwAVPLYODEJAnFxGdJQiMpudTla6iydYNdJAn32F6sxmgJQgsLi0sF\npsIvXx/QJAnvueeeUmLw7rvvLtznUoe1EpdgYWEBf/3Xf42XvvSl+MxnPoN3vetdeNe73pVpo5R6\n+32caY3VwsLC4vIANf5z0nWEAVLZAkOFaWFhYTF9EIA6IJ4DuNm6pMQlkjQMgSQCeAxEIRAGsDZl\nCwsLC4tLFV//+tf1cp74e9GLXgTHcZAkCf7qr/4KN998c2EfSlQFoDS/4VKEJQaH4KqrrsKnPvUp\nfOxjH8Ndd92Fhx56CJVKBY95zGPw0pe+FE9+8pOH7v+c5zwHp0+fLk0K3q3j7FYfFhYWu4RCpeAI\nlSAwRrjIaJXgqERhSrx0WQeLmCpBrzBExCXVQnWgL9dV4KMi96sQB1VX2oQdmqoBDZVgw+WQob5o\nuAwzsvB+Q9rf5rwoowxsNsSvfrWZCJUj4sHWWfJAj4hCwmTpCHBS1E/lJ4+Jv82ZNAzEcQpCPWQx\nf+qJuY0ZYFo1OACwVDlEKOC4eteMGtBXr83opLPLCgPqx6LwDnPziO17iSHqQV6kRhyHXylTCY4M\n2EhRqlYcSEA21E86AKOgXRFKwj8yCkRTQafHMMYkFJ03S4zjjLIOGxhW51CPz+iH8+IxFs21Cg4B\nxGubSY5O1X4k/9pl5sPcLyNtzSoG5ZiIYU3WtnLOwRNjbhJjP11GkQOJWuQDojMWcKk6rIBTcY2G\nA8AHCGLwKAThMXgQAFEI4nG4C+Kz6sxwVI7KcgZM/OUxkIg67OhvuWhti1IM3dBDKxTXVVNJ2Ikd\ntOM0CRkAuglBV69LA0yCxEU/VnbkCvpKPcgThFypB0ME2mI8qCJkJELM08TjstASvZ5F2jbMmFQR\nEjamelBdoxLAWK9hXvImUg+OaS8WBxzedkJYW7GFxcHHDguwTB37Oc4wDPEbv/EbAESq8A033JDZ\nvry8jO/5nu/BnXfeiQ984AN44xvfiOPHj2farK+v473vfS8Akc1w5ZVXTmXsBwGWGBwBx3Fw0003\nDdTtGwfvec97pnKc3ezDwsJiPJTaiMcgBcttw7tHBlLqGsRgmhgs1ktbmVEz0CUVuc6DC1kTkFTh\nc1F/z2d+IQlYlURO1XFQ1cnBBA2DDFSW4BmXawJwxksw54kHslkvxFxVPNTNNsWDXm0mQmVJWoOX\nDQJw+ShwWhJ/p06Cy0LCvFLBAMJQpP0CgvwLmAj4IA50HUDG5AN2kg3poHR/SSqL6WMYibkb74Wi\nVF+TiMpvw+CmbH85YsoI1yCcZfuZ5Ju6MTZukosxG2wzBorJRTet11kW3FGGIqIxSaBTjzkHWIGa\nt2zMpo2ZG2PNpBwXEIZF4zGCT8hYtQ55Oj/qGzlP1/GEpXk4BsmZqWWYGMSgOrZBFvKYgysSkQGc\nuwB1xWnUxH+EchAmVIWchCIIJQrBQ1kD1QW8I+Lz4S0mmOEdcbiQa8Kwt54Shp3QRzsUP5K0pAW5\nFbuaLOzEVNcp7MQkJQ9jip4kF3sxRz8RpGOfVRHIk+hzSQySKEMWRlQu8/LahJRJGzJx03RjkpKI\nah0zEo8HSUK1nuo2Y9UjHEkS7m+CsbUVW1hYHGTcdddd2N7exo033qhDREx87Wtfw0/+5E/innvu\nAQD8z//5PwsDO9761rfiYx/7GLa3t/H93//9+PM//3McOSLqi29ubuK//Jf/gtXVVRBC8La3vW1P\nz+mgYVeJwV/91V/Frbfeikc96lG72S2CIMDtt9+O7/7u797T0BELCwsLi0sBBILUoakakFgln4WF\nhUUxCOB6gOuB1BopRxVxIOwDcR+ggbQiW1hYWFhYTBef/exn8eY3vxme5+Hqq6/G8ePHsby8jDAM\ncd999+Hee+/VbX/gB34Ab3nLWwr7eepTn4rf/M3fxE/8xE/gH//xH3H11Vfjuc99Lggh+NSnPqVD\nR371V38Vz3nOc3Y01je+8Y3Y2NjY0b6T4q1vfeuuJRbvKjH4x3/8x3jDG96AH/uxH8PrX//6Hae4\nKHQ6HXzgAx/Ar/zKr+Chhx7C5z73uV0aqYWFhcXOsFOl4MWoBE1LsNrHVAmmISJUW4IJoalK0LAP\nu6QykCjsoqIVgx6voAKhEqywig4RqRIfFSrGVXNTdWBNWobrThog0nQ5mp5SCSaY85Q9OMa8Lx4s\n5+t9zMxKdeBSDO+oTEI+JpWBR5aAKw1l4IKomF+oDASRhfZdQw0Iseyaqi9j3q0a0GLayCgS5ftP\nJ14b6jLQ8YJUlJVdi8+YEWqRU6uNUQ6TmMdX/ek0XgJ4xnrVJpN+XZyOzYlpTSbqYGl7MzhkHJhK\nSVpgLWYsPV9epsgytpvO0EwIimFNVq+T2V7Dyb5eiTEOdd2PjdeDiECQ9Hyy5y7UhMpqTDP2YS5f\nD8IMZaKbUxKqcWo1JUlVh0mqXDQtyDzJCSoTtUAAvwZUaqJpVRKFUR/o90FoAG9RKgnnE8wqJWG/\njVgsorsh7iHbrSragVhuRZ6hJHTQkkrCVkzRiVMlobYexw562m6sVISJVhGGPEIg678OCy0xg0uU\n9VhZjRlztdWYcDpaPciZvq+OFVSyl+rBXbQWW1uxhcXBQ5FY/aBir8LUb7rpJnzrW9/CX//1X+O+\n++7Dfffdl9lOCMF3fud34nWvex1uvfXWoX299rWvxVVXXYWf/umfxle/+lV8/OMf19uuvfZavPOd\n78RLXvKSHY/1ve99L86cObPj/SfBz/3czx1MYvCHfuiH8NWvfhV33HEH7rjjDjznOc/Bj/zIj+Al\nL3kJjh07NlYfQRDgH/7hH/D+978fH/7wh9FutwGIYpFXX331bg7XwsLCYiKMTwqObx0mmX87srs8\nGZglBsvIQIe4mVqCjqwt5RAXjqx955IKXCLsXmbNwAoT6yq8ghokGUhdbRWuuWmtwIZLMiQgADQ9\njjldHzDBrKwPuFgNMN8QXrOZ+T6qy+Ihxzvug56QVoCTS+DXiBoefHFR/C1LCw5DpIpAB6Ayzdd8\nWL8U030tLm1QkrW/jpNrw1KiSe+k92Npf3R0HUMA4Or6kqmXpvowjmcOjo4gLTIEGAWnithCSmhS\nMr7VueyJg5KUkKMGsVqaDF/QJ6HIDETtm+doiq4rqi3naR/UAWLJsLkAmLxIEZ5l4RyDIAVAHJNZ\nStdzxtNtDEaacUoCEnMeVe1CzksJwyLrsT6u6huCOBTbCXilJsjChtjOgz540AeCPhBLss0HfGk9\n9pfEvWAuDrXtOO4QtDbE/We7W8VWXyxvhT62Y3Fv246oth63YqIJwzKysC/vYQFPtN1Y1CYUxGCE\nACEVA4h5XxODujYhiUDlskkSUu6macY8tRJzntYknDjNeLdJwj1OL7awsLDYb3z7t3+7rv334IMP\n4syZMzh//jwopThy5Aie9KQnYWZmZuz+brzxRtx444342te+hm9+85vgnOPqq6/GE57whIse6003\n3YS1tbWL7mcc1Ov1XetrV4nBn/qpn8JLX/pSvOENb8D73vc+fPrTn8anP/1p/MRP/ASuvvpqfMd3\nfAce//jHY2lpCYuLi6hUKlhfX8f6+joefPBBfPazn8UXv/hFhGGo+3z84x+PX/u1X8ONN964m0O1\nsLCwsDg0MIhA4iHzoETGYVAsLCwsLHYdhADVGki1BswBgFQUsj7ArPXYwsLCwmL3ceWVV+5aKMj1\n11+P66+/flf6Unj3u9+9q/1NC7sePnLy5En8/u//Pn7u534Ov/3bv433ve992NzcxAMPPIAHHnhg\nrD4IIXjRi16E1772tXjxi18Mx1q+LCws9hG7ax/OW4dHqwRTFWCxSpDS1DKs1rukUmgVrvA6PGkP\nrkjFYJVXUdNhIm5qD86pBGekPXg2pw4EgHk/xIIMEJlv9DCzIJarxxjc40LJQU8tA1dIe/A1V4FJ\ndSBc41akFIERF/NLXDEXpnrQXLb3B4tLARnrrxnyMca+RcnHeSuxxFgJx6xgfVnKcZkCsSBohZiW\nYSMoRfx7xImOk2ycmbcxVVMZBV1qxc6kGQ+EjeyRIsu8lhWk3BJKIIVrwkItr4MkMezNBWPjnKd3\nItOCzFihktAUPap7GMmEnRhKwgg62ETsSwCvBpCaeOvWOKAUhawP4oj7QuVImny8FPcRi5JO6Kz7\n2NwW6ofNoIJNaT3ejl1sR+J8y1SEZmhJNxH3vn5SRZ+J/noIEEorcUD6CGgXQKoYjBEgNmzHjpFs\nXJZmzEmqHpQTPCX14BCJbUa9ujPYIBILCwuLyw97lkp8/fXX49d//dfx9re/HX/xF3+BT3ziE/jk\nJz+Jr33ta4XtFxcX8fznPx8veMEL8L3f+727HmBiYWFhYXGQ4UDUCDQUgdYJbGFhYXF4UaYoTHpA\n0EmTqS0sLCwshoIfki/Fh2WcFoPYM2JQoV6v42Uvexle9rKXAQC63S7Onz+PlZUVhGGII0eOYHl5\nGYuLiyDj1IKxsLCwmAJKVYK6QXldQZJKPAa270QlaNYNBAZVgkoNaC67qKCCeros6y/VeBUVWW+w\nKvuou45WCTZcioYM8G26wJxcnvUSzHtCNbHoR1iU6sCFplBdzCwEqB4TKgb3ZA309HGx49UnwK6+\nCgDAZICIRswBuEBPqRJiwHHVJKbKQELTul5WIWhxUFCgihsrNMSEKcgx+yjqe4xxZBSBur+CY6jj\n6PUFyqC8qq9kTGSY8s/sw9xWpABMdypup9qaISPc6HscJV9+LhlScsrsw1Qg5rstujWYbZgxPr2c\nqytYFNoy6nVGGloimso+HKNGozM4uMyajDKQpK9dYs5rrr0ec7pKhcgQ1wgwMdSIA2EmergizIQl\nNaC6KBTiQQd+vQfEEfwjEeajTQBA3ALaq0IxuLldx2Yg7m1lKsKWEVrSkes7sYteLG5i3cRHl4lg\nrT4L0SPi/qhqEIakhwhSMegEmRqEjgoooREYE/fBhMRgcv3IoJKx1INssDQGZyXqvQnqDl6kctCq\nBi0sLCwuD+w5MZhHvV7HNddcg2uuuWbah7awsLAYickJQWCAFByoe2eGjDhpiEgmXdjNrDeJP50u\nXEAGijARtVyFz2WiMGojrcIN9dcjaEjL8KzHMSctw/NegkVfPPgsVQMs1kXh9vmlLmonUhIQgCAC\nrzkJAGBXXTlIAgLiIZA7wh5M/JQErCB9irTEn8VuIE8SGYm94t877LfMtlu4ffyDDBB6ZXbewjGV\nHKfASpwnqEaSeibK2hbNA3h227D98+14QTtN2BlzM2qfIuRJSsbS9wIz7ciDhNhYKCMAOcrfD0lu\nfT7cxAgfSed1jPFlfpcyQkscwx6sAkxoShhmbMMF98OxwkzMc9JTziF5tLTbqg9UfTC+AEQheLcL\nJB0giuAtECwsih3mo83UbrwmiMGNrSxZqEJLtiKKLUkMbkdpynE7ouhEok038dBLxL491gAA9Ekf\nPSLucSF6iKgiBrNBJSrZmPIIjIn+JkozLiUJaaa96JCOaS8eYS3eBVtx8bEtLCwsLC4VTJ0YtLCw\nsLC43OCK/ySBaWFhYWFhkYHnA7M+yNw8EMcA6QL9DhCFI3e1sLCwuJQx7LelgwYbjH54YYlBCwuL\nyx4jVYK64bj2YdMeDJSpBGEoA4epBM1AEfW3SCVYYw34UiVYQwV1KvbLW4Wb0h48o23C0DbhBS/B\nUkUoIo7Ue1iYF1bh5tEI/pVCqUGvWtbqQH6NtAkvLmWnJmAyOMSV8yaL5atzz6tiYJWCe4qib5Rj\nWBeL+ypTrk3YT9Hxh1pMh+w30E9234HQjcJjj+62cP9S5drk49TrilR9k/Q9oJgssLeKDen6YWPK\nH1+3HWHnzasf8/sOO0be2quPZ/ZRMtbC92hqdc0qEAfVbWX98tInswLLdZkltwyjyunwgmOUgRKA\nZVItyttBqAS5mY+Vn77c9ZqY56hDSbJ2ZD1cHXZChPVY7ydHlnAwqSRUtwq4LhI+C9RngSQGuh24\n1S4QBphfEI1nw02ckirC7oaPjS1hDV7rVbEeSgty6GJTqge3IoK2VA+2TPVgLKzkptV4WFBJxMVy\ngshQD4q/jLljqQd1igxRE55VD04eTjLCWlyafDI5rL3YwsLC4tKEJQYtLCwua+xKLUEgkzpsEoKi\nC7OWoFtSP9AFlUSeS/0MGWgSguJvlgysqmX4mgxsuA4ankoXJpjxUqvwvLQKL/jigWjRj7BUEbWV\njsx2MHdELFdPEbhXz4pTuXIZ/InXAwDYkSNp/T/1AN7pAtQX4SHUSx8kh5KBFhomGZSw8npzw1Bi\nYy2sOzfx+MY45kT95Ym6HRCX4yTilvRFJiG/CttNaLMdhbI6e3nCbid9l5JtY9hyx+lzWF2+gUTf\nUWPm2feaOVb176LhjUXkGeduWmEL+uBlc1BI5JqHyL5Gk3w8BipQTIL8fYqQ9FZFSVrDu8SmPIA8\nEWj2TwlA5H5OOlfE4aktmvPBOWYcJsulVpOYwPEVuQiwWC7H0CQhn5kDJ3NAkoB1u+DdDhD04c6I\npnNzIWZjoSw82QbWzwl78GanirW+qK+7HnrYjMQ9eTOi2ApVfUJlNXYMq3F5PcKQiuWQdxE7qd0Y\nEGnGZSShqk3ICQPnigw0CEPD8UuI+qEsGYsknCi52KYWW1hYWFgUwBKDFhYWFhY7BAHgAXAlGUiN\n9RYWFhYWFrsIxwGaMyDNGUEyJx2g2wGi/n6PzMLCwmIPQQ5N2q/9ueDwwhKDFhYWlyV2JWRE/yNv\nH3aMZaEGVNuFNdjV65VK0CEuHDqYLuyTGlwiFA9FKsE6qaAuQzwarqMDRWY8gllfjHHe45j3lDow\nzliFAWBhvouZk8Ke5V1ZBX3UKXFe110FpoKiKkZ9wE4AEnGAeOCuByACXCclBh338lUHJsmgagoQ\ndjhgMJzAk35umpMLmYEORfGeGXu2WnYkJyu3uy4ADs4YIO1yYveL/NqWGc8EFnBWsl+pqqyk7wIZ\n1oBVeFhfOTdqqYptqLrNQVaRo8IdmLGcP+6w/khmOzHDHzJpsUXHGcNyXaQIZDnr74AKsmxecvuo\njzpjqZKsqA/Gs47HwnHydMo4oOdYHZPw7O8Oqv9Mv4ZadiBEJBcuQpDOB02PQwiMwA4um8jPGSei\nQSI+Z5zJdbJbrrbn7jGmIlCdMo8ZEIlj8sRsjNHQv8OQwXlVlwWI8+DyH8RMLR5mXc6H49IC1aAe\nqiqjwcH160VAiPEeBgauO6oH7iINQeEAlQo+JFwrPnmSc98C4JSCYwaYmUESMtCwBd5pwV+MceKY\nsPse3eqgsyLuj+sbDax2xX1zLahgPRTrs1Zj8eZrGerBTpwNKunKgJKANNAnHQBACGk1doJy9SAR\nJ8B4ZKgHUyUhAdPzp/9ylLiAWfqGGplcPEQ5aG3FFhYWFhYSlhi0sLC47FBKCu6QDBS7KmLQM2zD\nqX2YFtQMNMlAh2Ytw760Lvm8hppMTSwjA2ekZbjpEcyL0kqY9zgWpVV4yY+wXBMPK8szHcwtiQeb\n2hXifNyrZ4FHHQcAsCc9vjhRuNUWScLEB7xZcD+3XRFclzLyhEhRym1+vYJKYHYgn3I5wGKAxGLZ\ncWQnXBTbD8XrRZJIknrSpjlgwTX+TWhKMFKaJWe1hXJM8mc3MVatvaKaf2V2zvGJPDKqjt2w/ka1\nKbSVTji/ZdbgUX2Papsn28raD+unLGE5v3/Ztnz/w2rkjTumHJmZsQoX1kAccpxcf3zYecSKyTMS\nefVnig95ixPxP4eCew5ACIgrS0s4LpAQYSt1XIA4gtynBplskGOD55aOYxi/QxyAyGsBp9CpxBny\nEEivF4SkJKZqwCCSiwGAD7Em07TvAT6KFRCYEPUNdVIy5+BOSgYSSRISl+snFm4Q5ao2oeNSoDYH\nMjeHpNMFb7eBXhduA5i9VtwHZ4ItnNjcAgCsPdLEuiIJ++K+ux56WA/F3G9HBFvSdtyOKFpGPcJ2\nLO51XVZDn8iahJIs7JNOhiSMmKxHSKJSklB9X+BgGZJQrStKMB6wFw9NLh5Sf9Daii0sLCwsJCwx\naGFhYWExBA4Ab1DRZlEAqe7jCaCr68sq/JSm67SikEm5DCAs2QoMWWWTfeCysDickDURWWLU3zOU\nWiED4pToAiAVgA7gOOCMghOxDOqCOI4gER1ndFjJZQpSrYNU6+BJDLAWEHfE/FtYWFgcYhyWVOIp\n/NxssUewxKCFhYXFxEpBsb08dThVBwLSMqzXeXCpkNs5pAJXKgY9Ui9VCdYg2jecNFhEqQRnfYJZ\nySkt+BxHpEpwuRLiqLQKL8+3MXNcFGavXFMBfZRIFMajrwAAsMdcB/iGBDBOAHhAL5YWYg74Bjno\nXGIJwol8aDQVeYyl52tYtsR7hQG+CziKwONAHIm/PAESMdckCoEwSvsDsgRrEuvtJAjStkmSLkcR\nEMaDy3pdopd5zLQlb8AmWqay2k9MEh4yyXZAEy9my0JV17hzMaTdQL/j9FkkZMy8XkUHGtK+YL/M\nuMZZP0J4WNZHodjISMQtmnfOs9fcwjaZY5j9DQZYjOq/aN/8/pwTMFZGtqWfW0qV3Vj8pQ5P11EO\n6qjltA1xOQhJ5HJ6SSFEiLBVezFGaCKLs8wtR39rJ5QADpUKQ1nj1fXB4QGeB85IKgaLUpWdcDin\n41OnRV0jUIQC3FAV6v0cqvfjWplsTlGBQjk/haYFWQ3QCDAB4+mcOVn1oLKYE5aq3JQQW1x6Ddsx\nA4jrgvMFsGgevNcDIduoLAvV3sljHRzdbAMAWufEC7C21cBaT5TtWA38jNV4UwaVbEcEbakk7MQe\nOrHYt83Efn1Sy6oH5f094l3EXNyohcVYXN9jlgaTMR6D0HRZTohWDzLERjhJOq2cozSURExN3l5c\n8GGztmILCwuLyx6WGLSwsLhsUGghLkkdLiYDje1GLUEzXThvGxbbDTLQsAx7tA4PwopUQR1VLslA\nVkMD4kGj4XhouOI4Jhk4J8nARZ/jSCUlA481RM2j5cU2Zq4QDxfeo5ogkgTkT3482NGjg/PQ6Yjz\n4S7g1wEQoF7BJZUorB5Wkzgl6gjN1v+Tcy3axuIhy6UQcZmRtviil3ZLej05fwDp9UVCMwB0esBG\nCwDAN8U63o2AUD70RwysK5cDDia7ZlEqcOExAUvkAx4DWCIfHOXDMUuIJkESY5lzAqaW2WC9M9Gm\neJqmLUQqD4CdbCBlZNCwvobtMwxlv4iP29+wczP7KA9PLt6fFaS+lh2X5d4To9rrdigfX759WbH0\nYdxp0T5ZjrtoTOOhaF+tzc1tM19j8w6gCUG1jWRHTNV28xYCnjp1weFKItGlDB4VR3KI/Es5HLmu\n6saoVOR13E/gylqx1AUcPwGQgPqhPo4OuK14QLUiSELiA74PQh1hJVbXFsNKnETpDIpA3JQkFMcj\ngCQ2uUMAV5JPDtGdEIrsxSN/IaHmpmy9wkydQmVZjlOSEIQXlAAwVrGUMCRmbcJIjIP4dYDXEQcx\neHsb2G7DrYk2C9cLkm6us4FTG2KQq+cbWO2KH+pW+mk9wo3QwbpBEm7L5UYstrciD11JEnZJFT1p\nNQ5pHSEX9wBBEgby1AMkRCwnPAaT3mjCU4JQpRZTwKhBSPX6AU5PF2FMCcKxag9aW7GFhYXFZQ1L\nDFpYWFhc9vAA2gRA5RP4JUACTgRlAY6k0okBLED6AKVsvtYgYWFhcQgQRboAnxSngVMKUvHBHR/E\n90AqFaEEv4wsycR1QeYXgfkFgHeBzjaAcOR+FhYWFvsJzof/oHaQcLH5dhb7h6kQg3/yJ3+CF7zg\nBTh27Ng0DmdhYWGhMV7QSIltGMCwxOE0ZMQttQ0DgEt9uFSoD0SwiFQJkhmtEqzxGuoyXKRJfa0S\nnPWpThcuUgkerQQ43hBKhCNLbcxcLdZ7180B154AALCnPQW80UjPiTFxTu0QoD7gU8CVfjZKD69V\nWH1rUrIZxtLQD0BKeFSdvxBAItdJCU2vB9IP074CGQDSEpYztDrAhXVxiJUWeEe0ZZ0IrC36SDoc\niVQTxn2KKBBzGcq/UeQilPazmFFEUgEYJg4iJpYTTpDwdDnNOCBIpKrJVDmZWQhKu2Qum1OzHygT\nm+6GY7gMZUq1i+1X9zHs2DtQIZb1V6oYLG0/Wk03woGc3bc092I8Beo4VPpw9eBk7cvGUXrsCfpV\nGMjbQPZ2UvR+J8Z6kf8hDuaQNAtErXMJ4FGu16llj3CtLvQoh0/FNcd3GCpyueYJdWGz3ocv7xGu\nl8CtyFqlvQDE6YMDcCpCNQjXA6ceSNUH8Xyg6oOrxwN5aYxDQ1FIOeQtTigJ5e2CO2m4SCbV2VQU\nSqssp1xvJ8ycHAKiSrC60C8QMWVx6q9DsuI4M707MUJLVKWImBtqOgLGG8BsA7wfgrfboLyF2gnR\nxxUn2jgu1d7rj9Sx0hL3zwu9KlYDcSNeCx1s+uJ8NkPRcSOkaMugknbsocvEPb1Lelo92KcVRFI9\nGPMAobQeUxaAyYmNmSxHwdPU4nyCMUOsp6MwudgUbxq+/GwoSYmteKCzyWBtxRYWFhaHD1MhBt/5\nznfih37oh3DzzTfjVa96FW688UY4h/XB08LC4kChlPgbutMQUjBjGxbbzVqCivQjxKglmCEGs7Zh\nAPBoDZ6qH0jqqPImAKDOmlky0BN9zHopGTjvA0u++IJdRAYuL7fQvEo+LD5mHnisrBv4tKdk6wZu\niTRGcBdozAFwgKZBFh4mq7BpCTYfgooSYR0CIAYoh35CDHogPWn33doG2doWyxfWgXMbYteNHlhL\nSG2SLbFf3AKClniN+j0XobSX9aIq+tJKFiYU/UQsBwlFJImaUJJ+ESOIpOUt4ulywtNsgoQTnUfA\njdPlHBkScGB7jggch1Saxqs+6q01VsnAXRjHbpKjwx56L/Y45aTfGPuWEnmT9zeME5iUSBy2z/Ax\nDHa4G6/jTghHhfz7eaAYRWHFinSlIAYlcUUEEQgAjtxRkIXmckoiqrYuBWRlCXiEw5fkYUX+rToM\nVUfMeM1hqDmCRKq6CWYrwrrabATwfJF47td7oJ64JlIPIBUHqFQBpwpUa+DMTWsgJsZvLyHXt1Pi\ncGlDVgNPCTxAWpfVOkKEDRkANychDz2ZppJ9sC0x31zcvJgyUZ8QMuxZJRsnXCcak7oP1BfBkwWE\nG23wdgskCuHNie3Hn97HkTUxN8ceqmJlS9y/z/dqWFEkoSdOfN2j2I7E+LZDJ0MSdpj4PtAhVfSJ\n6C+gXbhcrA9JL2MxFsMPdIJxwoJMDUL1rWR0crFRqJKznN13SGIxsCu1By0sLCwsDgemQgwSQhDH\nMT7ykXhktsIAANaLSURBVI/gIx/5CE6ePIkf+7Efwytf+Uo8+tGPnsYQLCwsLC5vkApAK/K7/yX8\nwwyPASTiL4sAWcMx+wBkYWFhYVGKJAG6HfBY1E5lsQNSq4JUBVFInEuwEhEhIM0ZkOYMEAUA3wT6\nvZG7WVhYWFhYXAqYyp39wx/+MN7znvfgPe95Dx588EE88sgjeNvb3oa3v/3tuOGGG/CqV70Kt956\nK6rV6jSGY2FhcYixI4Wg3nmEfXjANgwMSxymGcXgoG1YWYY9UkcVSiU4gzoX25ukghlP7Nf0HMwr\ny7APLFXEr/RHKwmOSoVHRiV4jVIJLgCPvRIAwL7tadnU215fRF4mDlCZkadNAc/DoQLjaUAIAMRy\nmVIgDgQJWPWAinwdVWIvA8i5cwAAsrkJPHRWrD+7CbYhHviSjRDxppjrcJui3xFz0+t56ITidepE\ncl3soi+tv93EQSDtan1GtfIvZNAqwYiJ/wAgNtYlUoGR8DREODZELkLwwvWpK5jqwOz6grYDdfqH\nqz7oHmkHxy1ftpuilFHnutvHyx57d1CklBs41pjnUDYf48zBxc7lOPsPPf6IQY6yK5r3i7K2pTZu\no33R56Psp4ayexSVHwaKNDHYXHa1ipDAMbY7KgyeEC2gcwjgaoUhgSeXffnXo9AqwqpjKgk56k6q\nKqw7Qk7XcGPUXWlD9iPMz4p7jV8V69xaAtLvgPc7oA7AqVAUcloFadREAnCCVDEIQz2oEpsdwDwB\nrhKWHZImDZM0zKR0ggskmcQhxmeGpKElDilUD5IkrTJhBpVotZ1bAePHwJ0QcWsTbl0qBp8RYXFl\nFQCw/K0qVreF6v6cCioJPKyFqXpQWYxN9WA98XWKcY/U0SXCsuzSahpQIhWFMXFBpYqQEJoJJ2Eq\noITFQ5OLB4JJJg0lsbCwOBAYViLlIOGwjNNiEFMhBq+44gr84i/+It74xjfi4x//OG6//XZ89KMf\nRRzH+MQnPoFPfOIT+G//7b/hh37oh/DqV78aT33qU6cxLAsLi0OEi7cMm6AlqcNZ2zAwPHGYkpQM\nLLINV4ggA6u8iYasJdjkdcw4wuI76zuYlX6whQrRZOCyH+NETdQYOtbo4NiyeHDQluHrh5GBPQBE\nEIKu9EL57uGxCiu2wxwvJRDllLgswOUASICwAyASp3thFWRd2IDxrUcAAPzcJtiKfMBaiRHIxMnO\nlo9uT9q6wqYm/jqxi24iXvduTNGX9t++JgAJ+vLBMmQEgaq/xbkmAAXxJ9czjliuT+TDWMK58ZzK\nNfmQcG6UyOKaEDEf3DL10Iz1JolURMRMSs7sFUlY1u/FkkfT6tME38OH53HHPsk5shHj5WRn5zNq\nDKOOOyl2e95ZyXmXjZuOUB5TXr6dGNtUOwqi16u+KQgcdf8RP0eJ/QmBq5ZB4Mr7kkOIth4rgtCl\nKVkoSEJJHDpEL1cdjor8QavmAlVJ4NUdhsaGuHfMyhTkphdpC/LCTA+VWgSgB7fWAd0GuOOANqvC\nflytgXM3dfyqFOQISE3cHPL2CeoScO2RhrYYm3bj7L08vUeYFm2iGFTGAU/aZROWtqHQJCWclDAj\n8WA9QmU1Jp4P1I+ChSH49haScx24M6K9IAnXAABHviWUlStbTZzriR8EL5gkYUCxpUjCiKImScJO\nUkFFWoy7tIM+xHJfTk5Eu4i5WCboIYGqPevo9w0BBeOxPkUzuVhOiH4RuOnIxpi1B3chrdjCwsLC\n4uBjqt4qSiluvPFGfPjDH8bDDz+Md7zjHbj22msBAJubm/i///f/4mlPexq+7du+Db/1W7+FLVUT\ny8LCwsJiDBCAVAE6I6zDlwQYgBDgHYC3APTEv9UTnIWFhYXF/kJZjzfWwM8+DPbIQ+DrK0CnJbYd\ndng+yNIyyPFTQL2536OxsLCwsLDYdexbkZBjx47h9a9/PX72Z38Wf/d3f4fbb78dH/7whxEEAe6+\n+27cfffd+Jmf+RnceuuteNWrXoUbbrhhv4ZqYWGxzxhLLTjSszgsZEQpAr2MbVisK04cdmlFqwQd\nmiYN+6SZsQ0DQIPXMEOFdWjGczFXESqCBd9QCVZinKgKleCJRhfHj4hAjNlrEniPnRfDfNxVAGSw\niGtcvnt9QQQSD6nv7ICrBBnPpgfHhlWYJ+Lu5BNodYgj/o+sr4GsCpUG7n8Y/Oym6OJCB/GK6KO/\nJpWB2z62u+K12A4qaEtlYDt20ImlMjAh6CZKGYiMIjCU6sVArwNCKfeLGEPM1DI37MEcsVIHwlQE\nqnWJXsfAdWF5Bp5RKSnVh6loKlIxMbCMAmSvlGxkur8jDmCvzosNIZhpQS3OYe13E7txvmVquEyb\nizyfccbJ+N7NWdHxx3mvlo2bTzAfpKhW65BLrjkumnpu9Xr1fqOcZtalyzRVFXKqFWOuoR7z5dd6\nBw4ceS/zQOFJVblHaGo7drIW5KpU51UcF1UZENiQt5m6U0XDFar3mY0koyScl0rC+dkuqk1pPa4n\noHEHiDtAZw3wK0jQAPy69vASlRZMOYhU8lEPRhpL1m6s042VipDJdGNItaCpNmfpetUGMU0txmaS\nkwpEYYaKkBE4vpJ2i5AVAODUA+NLgDOHeGsTTlUk1h99urD4Lq6sYvkhca831YPnPR+roXgNNkIH\nm3J5O3RQl+rBVuKjI2vidqn6u60TjCnxtMWY8gAxM0qcKFsxzyYXi9PK2osHrMXAkFASqxy0sDgI\nMEvJHHTYS8Thxb5XYyeE4IUvfCE++MEP4syZM3jZy16mt/V6PXzgAx/AC1/4QjzucY/D7/3e7yE2\nHx4tLCwsLmsQABWpEPRHtj7Q4DHAewBrCXUgQuxOFq2FhYWFxb4iDMA31sHOPAx27iz49hb4Yf4+\n77ogi0dAjp8GGjOYTr67hYWFhYXF3uFAxIqtr6/jAx/4AG6//XZ85Stf0etrtRpc10Wr1cLXvvY1\nvPrVr8Zv/dZv4f/9v/+H06dP7+OILSwspoGRSsFJVYL6H/mQkeJ6gmqdUgw6tAKXCgLOIRV4RshI\nhQh1YJU30JRKwSaRKkHXw6wvVYIVgiXp8l2uJDheFUqD0/UuTiwJleD8NSG8x4oaT+QJVwmFIAD4\nivyjQDcWCkHK0hqDB1UlqH7mTOKU64sigIUAD0URrHoVgC//A9DpgJyXwSH//i3gYVHwnZ1rIVoR\nc9ZfoWhvivbtbhPbgVjejtRfBy2pDOzEFB1VKzABurKuVJBwBFIUESZcqwQjxlN1oFT7RYwhgVqX\nIJHqohhMK/9iqRMEgJjEWuWnargxYzsjTCu2OFhGWcUz6sFBFdPImnE7VJzthTJwVF02YPdr0eWx\nlzUB9wJ8N1R2Bq++k/mdRD03sC+fznyb5zXO+2zY/nmUvQaEFCgFJ4A5TkLMe5RTsN3JKg31fctQ\nEhrLrqxH58CDI7/iu9yFw+Q9jDtaVejBhadUhcTRYSYVSlGRynMpbkfNJVpFWHMcrSRsulU0HKkk\n3JzDnCeugzNeiMW6CHiaWxB//UYCpwYAARAEYNsb4J4HXmmANhqA54EzgERS7UeNABOX6LqBWqhJ\n0xqEnCG93fNc7UG5zF2kAjhGUtOAIW8hqrYrS9fzhIMqFWPMwWKlQARY5ALVJURRAr69BbfWwtGn\nCuX/wuoqjjwklH9Ht5s415XqwcDDSiDVgx7V6sFaSLEt1YMV5svXxUdfqgT7tI1A1R5kXVAilJoJ\nCRCzUI4/VZuW1x1Uk5DAyGspCSXJ1RsUEzpSEjQqFMjCwsLC4uBh34hBzjn+/u//Hrfffjv+7M/+\nDEEQ6G2Pe9zj8OM//uN4+ctfDt/38aEPfQjvfve78U//9E+4++67cdttt+HOO+/cr6FbWFhMAaWk\n4JBAkaF95KzDKQHoldqGgRwZSCtwiQoZqWfCRepMLGfCRTzRx7xPsVQVYzlSYThWEV/YT9d7ODUv\ngkWWruyi+jjxgEWe8Ciwb3sqAIA3GumwWx1RQ9CvAJVKel4HnQxU13fGAN8RVegbrgwU8YFWC/Th\nh0Sbb3wLAMAfXkdyRhR0D84xdNbFnLbaNWz15wEAW6GPLVXEPXbQilViMJHrgJ58tu/GggQEhDU4\nkHWvIsYRMkn88SQlAREjlg9EERFEZIIYsSQAExIjgVjPCEuXeWI8hCUpMaj+8nQdeEq+mERKxlI8\nBkG0l6TXfluId4rDRgTmsZfE2sUQfoX9TYkEnOR4hAx/347Tx04DSCZBhhgsIAkH16fEoDmetASG\nWO8Y9zWHeHBIShiq4BMHHjz5Q4zDXXixaOPDhScfD3x5nAp1UNVkIUXVVQEmBDVpDa67Dhqu6G/G\nrWKmJe6J8+vimjlfCbXteGmxjcpMDCQRXGwC0SbgeuBeHcxvgPg+CIUOKCEJBxRhKE+duATcUfZi\npstoEIeAp1HP2QlX98rMS6isyWkyBwF0ihRxOLi0G3MXoJHczU0txpQ4wJFFsHgeycYWeGsbThU4\n+qQ+AGBhvYelh8S9fHm7gUeUxbjvYU0Snmuug7phMQaAWuzqBOM29eGpcBJa0RbjkPRSkpAFiCFT\njEvsxUzceMF5zh08ia3YwsJi6jgsn0D7s8DhxdSJwfPnz+P3f//3cccdd+Ab3/iGXl+pVHDrrbfi\ntttuw/Of//zMPi9/+cvx8pe/HO9+97vx2te+FnfddRe2trYwNzc37eFbWFhY7AMoAD+bPnyYwCPx\nXxIAvCpXHgjBuoWFhYXFQUAcgfe2wOMtcNcFadThzDfED2GHBZSCzC+AzMwB8ZYsjWEfky0sLCws\nDj6m8mTGGMPHPvYx3HHHHfjoRz+aqRN43XXX4cd//MfxYz/2Yzhy5MjQfm677Ta87W1vw4MPPogH\nHngAT3nKU/Z66BYWFlPEUOtwoVJwZypBwNHLwj5cbBsGAJf6cA3LsEfEchVNHS7S5A00pJJwzvcw\n64u+FypKJQitEjxZC3B6RhQsP35yG43HyWM/6WqwZz4dAMAXFoAwFGPe6IJXZwBEQPUAqwTNMJEk\nAeK+IAM9Asz4ADwg9kG2Rdo8eegh4N77AQD84Q1ED0u7lHAPY3u9is3OPABgo1/BlgwO2Y5crQxs\nx8RQBBL0pMJDBYj0YqbtwP2EIWBSJQiGkAvZR4gYiayCH5EwVQQi0vZgpQZMeKSXOZhW8yU80gqk\nvNovVQoWW4PV+ryCaRLr524qtkYprXaCUQqrvbYR5zFthdtBwK5Yk8v6PjQ6hmLs5/uh6PNGclbi\nsvZFlmRTOZje4zzDgkzhwNN9K7sxJR4cKtZ7vKLb+FxaWpmHSiKWfeKhIsflU4qK/MGq5lIdYFJz\nKRquCjARx5hxK5jzhGpufmsW87603Nb6OLIg1OHVZgy3zgHEIPE2+LltwHGQ+A04zTpQrYKrR4jA\nCC3xCeBI9bWXWowJI+kPahSZ+ybJf6dwsv/WoSWMp6ElhAOyLARPACpfHi7txTwCOAHgUnB3AVEw\nL9SD7iZOfpuwVB8518GRB4Wa8pHWDM72xH191nOxKi3G61LpWAspqqG0Fyce2vJ7hksq6MvvKJSn\noSSxUQ4lkROVsCBjL9YOajAt7M+4g4faigGAjQwiye5XjLFC5XYAa2O2sLCw2BmmQgy+6EUvwt/+\n7d/qf/u+j1tuuQW33XYbXvjCFw7enIdgeXkZDz74IKIoGt3YwsLiQGNnNQSzD1IDfRj1A0UXg2Qg\nAU3JQOqW2oYBwKMpGVghTdT5LACgzhqYlevLawiKL9cnqxFONcSDz8nlbcxdJ76we085Bv6MJwIA\n2FVXpefQagPcB6gLXq+lCcTOxdW22jUkCZAoElBalMIQvOKJmoE1F/ApgAqwsQH6wAOi7Ve/Cf7w\nBgAgfLiL3lnxerQ2q1hvLwIANgKhKNwIXV1vaSum6MiHwU5M0JMPYd0E6MfKHpwgkJZgZQ0OeJIh\nAJUlOCIhIl2fKS4k/hiPwBTZJ/tgBhnIeFxoA+ac5cjBLOnAy+oIlpAT+01i7QVROA3s97wdNEyD\nvLuU5nxa51JIDJZ85vK2/iIbchGpSAjNEIMmYWhakx11H4QHqqzH8q9LKvC4vCeiAk8RhrGHirQj\ne5GDmuyj6qR1CuuK5HKJQRI6mPWk7bhdx/yWuK8u+BEWqsJ+u7zYRnU2ApDAc7ZBWttA10VCZkCa\nM2CJA+rKhPeY698Bqcdlor0iCZUlOE02hkMgnbbZZxCTOFTfLQhP048JT79eUD7QB6Fck4QslITl\n0hx41ES4tQ50O3BngFNPF98HFh7s4sg5ce6L7QYeccUcNyWpuuY6qLniINWAohqnNQg7soZxl1TQ\nl4Rh5PQQ6TqEgoikoBl7MVMWY2aShGktQc6jTJYKUT9eFdUdHFJvcK+Iv1Ewj2tJQotLBRwA5wdM\nEFACbsOYDi2mQgxubm4CAB71qEfhNa95DV75ylfi6NGjO+rrda97Hc6dO4crrrhiF0doYWFhcVDg\niZThw2Q/4hGQtACuLF/WJmxhYWFhsctIYvDOBvjWBpjbBJlvglSro/fbbzgO6JFl8GAWiNYAWHGD\nhYWFhcXBwlSe3m666Sa87W1vw3/8j/9xInVgEX74h394l0ZlYWExbUz0C/LAtWJYwnBu+wiVICHU\nUAn6oMpCRWtaKeiTmvzbRB2inmmdNdHkUiXo+KXhIieqyjYsfrE/vbCNpavFcuWJsyBPfhQAgH37\nt6XnEcQgnRhABF6rAhX5sHNQLMNJAqgyEEEIEgUAC8CbPkAAvjgP9MQ5kvvvB/nK1wEA/MF1hNIm\n3DtLsbUh5nWjfQTrgZjrzcjDhiy23pY24VYMtOSzUy+Gtgl34yS1B7MEgVTgRTxBAGFNK1IGRiRA\nopV/ERIom1WUUQSqZc6ZVgSqwu1CMZiGiChwY73a19yWR5EaaXcUSpP2sTdqwItVGV5KyrP9xfTn\n8XJ87S5GjakCIgbWj/wMlasH1b9JidXYVAlq9SBySkJjGQAc4mp7MSWeDuFyqJdRElZkDVkv8lCL\nlPVYXNurjoO6SjZ2CRoydKPhupiRCrmm52POFfeI+e0ZLEq78VKtj+VlEdRVmRPXXs9rg623wV0P\nzJ0FnW0AlGaTjV0OKkt6cIeAqGTjxEg0VhZiSpRLOHvfNdZzF0Cs5o8LazGQ2ovdtF/HNdSDsswu\nqVQQO6fgJC3wzQ00rua4+sSmON9/72JxTagH57vie8Y5L00wXnMdbIVKPeigKq3dFVZBl4o565IW\nAprawwEgIl1dIiVmIRIm1YNI1YOcxzqUBPAAUw2vhZOmcnB8W/F+YhxLs4WFhYWFwFSIwTe/+c3T\nOIyFhcUBwsWRgAp7QwYK+7C0SFEfrvxS7dG6JgQrRNQPrPMZNGXi8AypYs4X+836FIsVcZylCjfI\nwACnZ8QDzLFT4m/98T7okx4NAGDP+jbwGdE34hhkfRNw6uAzC+CL3vB5mjYMMpD0uuBUJgpXHfC6\nC8AFuXBBbL/7X4D7zgAAom9uofeweL2216tYa4n6sWtBFRuyXtJW5GBbkYAR0FZWYUkGdmOOnrQr\n95MEoawP2OMxIvkAE5AAEVFkYKBrAkZcWNHKCMCER2Cy/hJHosmMhMcZ4q+wPqB+OConA1OMTwAe\n9Dptk6QT7/fz4UGfy4OKy5HUG469q8uokP2oOGUbNEptxgUEIym5TxanHNPcfVOlG5v3T0UMutpi\nTDOJxy5cKolBXoErE3QVWViJK6jI5ONq6KIqScK646Bm2I1nvEG78XynhsVtcd88Iq3GR2c7mF3s\nA0jgz60Bq+tAvQHmzwCeJC4rAFOF9CgHVcSgR9LpLkkzLhUyqKTjOE1I1nUMGQCVYJxAE5GOn5KE\nNOHgUROkVkdwYRMu2QYALD01wez5VQDAwgOiFuORrSYe7orvJGYNwrpLsKGWIxctRRKSCjryO0yP\nin4D4iFi4sc5gp62lccIMsnFYJIkRCytxQAQZWsPIiUIRVvjfUdy14/9vhFIWGuxxaWCw3KHPizj\ntBiE9XtZWFhY7BsqgDsLHPR6HJwBSU8WJOcA6sg8xFpYWFhYWOwnOAc6bfD1NrjngzRnAL+JA3t/\npRRkYRGkMgO+tQ5IxbuFhYWFhcV+wBKDFhYWY2HXC0nvmkrQMZbHVwnq1GFSgUfTcJGaDBdpMPGL\n/QwamHHFfvO+q5OGlyrA0YpQlJyoRriiKcNFjm5h9rHi9zL3SScAAPxZTwE7eVIMOo5BNloArYHX\nKuDzC/K0DsjDS5LIRGSABB3wCgWQgC80gY44R/qtbwFfvg8AwO5fAwD0H4ywfVbM6erWAlZ7QrWw\nHqY24e2YYjsS59mJeaE6sBeLOQ14gj4X4whIiEBbgo3gEESIpTowQYyEpcEhgEwLRhogMo4ysEgR\nmFVSXZxlOIu9VyTtFkqVTQcGh2cuLzVYpaGJncyFYcscASXCyisH08/noOowoxDk+ftnOoYiu3FS\nsI7SNOWYUhdEHtNUErqkkt5viQryqsLnskQH9+HHYn0trujk3TK7cdP1MOfL0h09oY5b7DSwtCbu\nEcv1Ho4dEQr96kIM1w+BcA3s4XVwfwZoNkHrfqrai43gEBlgkk8z5koF6A5RDuqXTO0H/SIRF+Cy\n7AU4B+QyiTi4CkTxAB57wPwxhO0unOYGEEc6wXjxoS4WHxbfSR5uNXFOKiHPe45Ofd4IKapSPViN\nXVSYmJ82EX+7ZoIxSROMKXURMzF/2eRiCs5V+Yz0/7W9GEyvK1UPmhbjPPZRSai+U1rloIWFhcUg\nLDFoYWGRwZ4kyY1BAhYefwwyMLVCjSYD1bJHa/phxSdNVCGswnU2gyYXhOCs/CI967lYUJbhKsER\nmTR8ohrjVF3VENzC0jWCoKo8aR54xvUAAPbEJ6Tn0mqJcXMfvC4SeOG6B4MQNOsHskSUGJK1DrVV\n+EtfAf/XbwEAom9uo/OgGPf6mpivlc4iVmXNwLXAw2Yk5mwrZxPuSOKvFzP0FRnIY50eHBBFBgYI\niJjfiASIuUEGyhpJjEc6AVikCKf1AYGdEoDFtuH8utwEZv41GVFy0EiVcSzDB23MO8G0z2G/050v\nhddsH7Gn5OeQvkusw+XXmKL1aR+CDnH0P4pIwzxhqNZp4pCFaQ1C5mbSj5X1OCJeWseXDNYmFD/I\npbZjZTf24wpqkjA07cYN10HDE8eckX9nPYp5aTte7FWx1BL38eVzfRybEyTh7FIAz98G2ttAvwLm\nz4LU60hiom3AOrU4LEkzZiS1ClNkk4ud3OvjANwgvlQfYABx5P3EyZKETL4qtFkHi2vgrW2w9U2A\nc1SOElx1ZAsAsPBAF0srsgZhp4FZ+YPlhYBiTZKEWyFFNZA1HaW9eNusQUgrCFSCMe+CyntsDKpL\ncSQs0LUHwSg4VNkNk8CehCQEMu/LUbXmp0Ac2tqDFhYWFoOwxKCFhYXFnoMApAYQX5BwBxE8AXgA\nsBBAZWRzCwsLCwuLQ4MwAG+tgG9QkOYMyPxcSvgdGBCQmTmQ2RnwzXUAnf0ekIWFxQEA5wA7JFz2\nASkvarEDWGLQwsJiijZhoNQqDOTUEeOpBNP0xEGVoENcbRl2aEUHi3ikrlWCVTR0uEiTVDDry2Ln\nvuh3oUJwRPJkJ6oxTtWEMvD0bAtHT6twkSroUx4DAGDPegZQE8dBrweQCkg7BG8IZR1qzf1XCYZC\nWUfabYBH4FUKNKoQUkEP5KEHxfYvfhXsm6IYevDNPrYeEROxsrmIlZ5QeKwEYr7WQweb0ia8HaWJ\nwp2IoytVgv2EoSctSn0eGurAfiY9GABiHiCGVAmySCsGTUvwoD3YVDHspjIwKVmvMIaa6NDYLUvG\neZFJw1PFgZzrgzgmi3Gwr8oiI/18vPu0qcxSibP59575b1NNWKwkBISa0AwzUcuMxJkAk8Qo6UFp\neh8GlI01VRGaVmPTbqxSjiu8imos7qW12Ec9FO1rrlIRUjSl1XjWczHvi/XzPR9HOqI8yPJagCNS\n2X/0WAvVZXHtJ8kW4oe2geYMuD8POA6cCgdNStSD8mmJOIZ9uMhiTEn2dVLObsb1S0mooR4kDFSl\nIkdGinFIQRaPIGrNgvbXgDDA/OMSNI+K0h2L3+phcVOEsSz0ajgrlZOrAUVdjkuFk1QjB61Ezimp\noi3nuk8qcORrFBJPpxVHhILJshwJQiO5WN0n44nUg2LbsPtH7v05SlGY6Xjnn82iz5NVEVpYWFzO\nsMSgxWWLy7XWyK6QgJN8cct9ISy2Cqdtsw8ko8lAStOHDmA4GegT8bBQ5zOoyxqCTVLVNQRnfSdT\nQxAAjlYYTtUEgXW62cHJY8LWM/NYwH3KaQAAf9bTwI4eFTsEgbDfEg987igACn5kdryp2ksE4ks/\nabfBKxWAx+DzPgAHiCLQr39dtPvivYi/Lh4+evczrF8Q83S+fQwr/dQqvC6twpuhIgM52pH4LHUi\nhq5URnZZnKsVKIjViAQIpY0p4ZEmAWMmawbyWFuDGY/AmKp5xPRDS57sy6cI52sD7pwALCB1hpBP\nl+I1Jf+gd5BxKc6/xWHBXnxOVFrshO9ryUQN3vPlGAkdcp3L1zB0MjULi2sVZusUUvkjUBlZqO7Z\nUS7luMhu7PMaalzcv2uh2F6PfNRkbcKG62BdWoybHsUF+YPVvOfhiKx3u9xu4uhZUV/v2JEW6kdi\noLsNErWAxgxYPIcokMRlLUcSKhG9hzTFmBNwVZMwbykWk5CZTvUdhlMOxLIPn2hbMRwGyB/XHGlB\npr4PFp0Auh0E59bhiunA8af3sfCIOJcjD85isSVIwkd6FZz3Uvs1oGoQSntxZNQgpDV05fy6vKXv\nx5S4SKi6H6eEob4HGzUIhRF6OEko5qqgBq9+P5eRhmN8loq+i+4yWVgGe5+xsLC41GCJQQsLC4td\nBQWcGVF5fN/rihWARUASQXyBn9nv0VhYWFhYWOwfOAfa2+C9bXBvBmR+HgcuYKneAD1ZB6JNUS/R\nwsLissNhoaIPyzgtBmGJQYvLFpfTr307VglOpAwERoaJAEMCRQDAyaULDyoR8ipBZVMapRKs8gbq\niVIJ1tB0UpXgnLQNL1WA5Yp4XxyvClXa6XoPpxbFF/Gla/vwn7IkhvTtTwC77jqxHIbAxiZAq0B1\nBnxeXlqdfX64MFWCPgVYH3ypISzOcEH/7aui3Re/juhrGwCA1v0OVtcEYXiuU9dW4bXQ1erAzQjY\nFiJAHSYiVIJCRdDlEfpSGWiGiISkl0kRLlMHAkKdoINFmJEuzOIBZWC6XLC+YN3YysChKodhODzq\nukGUhB1cUtfL/Xh9DuCPBIf6fXrIMI6KqfR+e3GvU6mNkye5+3OZkjA/BprajpEq4QhoJjWZydCK\nMhWhmXLsZMLDBi3GAamgZ6gHAaDGGxmr8Za0GjdcBxs6qITgQiDWL/gujvREf8vtBo5fEPel40fE\n/b2xHMFzW0C7haTbBGvMA64Hp8q14o1EIkkYAOABRB5HT5dLQNTrOGCISJOLuXr6YkhfAUoBKhOS\nlXU5ErOtZpq7C+DeDJL1dbgzQjF45dNaWHhALC9dmMN8WwaoGeEkWj0YUFTDNJykzVQoSQNduq3n\nOuKiP4cEiOVrk1AjnESrB+ORFmOxjRnr1dmojXnb8UUqCc3P0R4WOzM/O5fW/dHCwuJyhSUGLS5b\nXIo39YuyCY9FAg5/uC08/ph1A8X+WTJQEYDEWKbEg0t9vawIwVFkYANVzDhiv6bnZGoILkky8Fgl\nxkmjhiAAHL2yjdoTRH/kqU8Ae8bTxPAqFZk0DJCAgTckYej5+1tDUNUPbG2DV2sAD8GXakBrC6AA\n/dKXgS9+QzS9dxMAsP2Ah/NrCwCAswYZuBo62JQE4FYItKRVuJ2zCgNAlwfoSwIwoH0ERDxYmLUC\nY9ZHwtUDRZQhAdV6s06gevgoqw9YRADm11+MPXj4dWGXSZWLIg52E5Ys2hvYeb2ksRsExG70UXiN\nKHvv0cJrXGHZgAzXkrWJplZnQN/TzXu9kXZskoVmynGSudcLQishASJtMXbhUkUSCoKwR7bh0/Re\nX5OEYTWsoh6J/Zqui7q00a77BCuyFt/5ioOzfXGfOybrER5f6eLEkrinN5bbcNAGag0wzIHLMhpO\njYMyee4xAU8kYShrBhJGwY0E40KLsQnzuwIjIEQxq+ovA6Rd2XE5WMAB3wVzjyJuBeDra3CCEDNX\ni/vctUfXUpJwU5QwOdNNaxDOeBSNvpibzdDBdiTWt5IKavI7VIc00ZMkYUi6iOS8R0yW/iBuIUnI\n4eplkHzpDvV+Kbgf5387LilbsSPCMP952COi0KYcW1hYXAqwxKCFhYXFjuEKlaD8knxwwAEWACyG\n+LJsL/UWFhYWFhYTodcBX++A0Qbo/DxQ80buMi2QahXkxEmQaBvgWwCzPz5YWFyq4AAY3+fgwjFh\nU4kPL+zTooUFRivtDsIvgdNNDlYo/mW2dCxD1YGAWbcnHyii15mWYZ00nLUMZ4qTS3XgOCrBWaUS\n9AkWDZXg8apQtJ1qdnD8pLQVXS/G6jzpKvBnCZUgW1wCOh0AFGRzG3xeqAR5Y59r9Un1nlAJugAP\nwJdntaKR3vNF8HuUSnALWw+IOTm7JsZ/rlvHeWm3WgkcbRneCrlWCXbjBO140CrcM2zCAaRKEAFi\nlqYLF4WImCnCWTvSYKLwtIJDBj/nIx60pv3tZ9rHm4pCcY9xUL+hHoS5PahzY7FzjHpNSYF1ON9F\n0X1/LNsxNfocTDvOqwhNdwDjhpKQCZl6Qt2M3TiWijXlEnBJBZFUpgekha5UD1Z4HVUZVNKKqqjH\nov125GYCOdZ88Z1iRSoKzwceznalenC1hxNL4rtA82gIv9YBgg7YhRqi6jzgV+BUOWjqnRbnGjEQ\nT86BQwFHBYuQcieBXs+h5HPajuxkw0lUgjH1OZhMMObRLKJOE3xzEw7bxtEniXvzvLRKLxnhJGd7\nPs5J9eBa4Ojk4s3QQTsS3wu2WRVd+X2qS9ro0zYAoR4EgIh29f09oT5i+XoxFoGRAosxZ+BQP566\nBbbi3L1bvy+y78/hASZA9vtqyb17l8NKLCwsLC4lWGLQwmIMTNt2PH0SsNzuMtoePNhHPll4nLqB\nAECpm0kXztiHJRno0TpcKPtwHVUuSECTDGzI+oEzrou5ijjGvJ9ahpf9GMeq4svsqWYHx4+KB4CZ\n6zjcJ4h0Yf4dTwEAsFOn01p9qyvgzSWAVMCXD4ZlGGEA1OsAIpEy3BNf3uk9XwT+5d9Fk69uYvN+\n8aX/3PqSfvg5L61UKyHFemCSgeKLejtKMlbhniQD+7SrrcKqFlHMA8S8gAzM2YSZXmalJGB+u/q3\nQBkBmO6bwUR1Ag8YEbjfuNzOd5qwc3tZ4WK+N+zq94Gy991IwnAc23FK6ohrc57gyZKFZXZj1Y7x\nOP2OwGOdbkwlERWTniYJhdVYEFgBqaMrvy9USRNtCItsPW6gnoj17cjDtqy1tyl/MNwI3ZQk7Ps4\nJ9OMj6+lJOHM8R48tw84VfBoDnEgbM3EUynCHDSWc+kykWIMAA4FkaQeCEmnwvwOkVnWMwOiyMWE\npERjwkBlgjF3mKh1OL8I3m0iPLcOBH04Mkn5yqe1cOSMmJujZ+ew2GoCAM55Plbkua8FDjblfDQC\nB61YJhezGrpEtO8S0UeftlOSkHfhEEUSBpkf/szvAFw+bjIWg6h7vP6bJ/TUPT5X67Loq2jp/b3o\nO+oEZGGmw/E+u+pzehCEBBYWFhY7gSUGLSwsLMaCBzhzgHzgODDgIYTSoOzLsIWFhYWFhcWuIeiD\nb/XAkirowhLgHRCLseeDHjsO3u0A3XXtJrCwsDj8OCyU82EZp8UgLDFoYTEhdvtXwV1VA0zRHpwe\ncpRNOFUA5K3C6XKqEswqAKRKkKQqwQrqqEKoA6tJDQ2IX+xNleCsESyy4EuVYCXGCakSPNHo6iTC\n2Ucl8B6/KAb+9OvBrr8+e4JbbQAVgBDwekOEi4gBFs/XXoDJ91ogFHuk1weveQDrAzNV2YiAfuVf\ngbvvBQCEX93A1jdTy7CpElwJlUpA7LkZAtuh+KW/EyfoJOKX/g766FNhR+qTTsYqHDGxrNSACUtV\nggmPwZiyD2dtwmUhIjz3a77Yvhf24CF9DOw8/mf8UCqJLSws9gy7dU3YaT8TXS/y17qB7xL566UK\nHMnuR4YovAZVhOPbjRli7SBQASaMutrS6tIKEqlYj0hPOwwi2kNPfnfo0ya68rtDO6mhkYh7p7bQ\nhk6qHvQdrIZi+4XAw3mpHjy5kX53mDkdwa8GQPgIot4M6Pw84pYD6oo5IR6HU5WT4DPAkzZhhwCq\nVpg5DdRMNDYmTwWROABk2ElGPegCRJb8YEp/5zfAanXw7S2w7S1Ul8V+j1rawJGHOwCAR1Zn8Yj8\nXnDW87Cmvhd4Drbk8nboZtSDANAlTfSkYrBP29rOHfIeYirVg+b3AWp8HyDp9wHTPQBDRTioIATE\ndwFTjarmZtB2nFcR7mrKsRjA8OaXgXJwt7+LXMpzZWFxmGCJQQsLC4tCEAC++DLODtKXFg4kHYAd\nEIWChYWFhYXF5Yz2Nli3DV5bBBaa+z0aAUJA5uaBuSbQ3wB6nf0ekYWFhYXFAYYlBi0sdoiLqTu4\n41/bJi5YP0HtwAnrBubXZ+sH5gJFDMVgWaAIIIqJFwWLVHgdFS5+va/zOuqyTd1x0fTEWJRKcN7P\nqgSPVcQv1ScNleDco2J4j50XA33qdWDXP1Ys+z4QxwB8kO0+gBC8VgXqUpW3HzUFkwQIhdIRYRtg\nffCFGcCV83v//SBf+FcAQPSlC9j+hpiPsytLeKQj5u9cTiW4KbvbDtNagm1Zt6lLeuhQ8QARkh5C\nntYSKqshCBTVFBodIlIWHqL2S5H7RX+iuoElfRRhwrpv0/6Vey+PdzmoEfdblXA5zLHCfs91GYpe\ng0nGerH7TxNl4xrrfVh0LZywDmFR/Tfz0OOElpgKQp6ogBKpHDRqEDIeg7L0u0VC0nuVVg+SLvoq\nrMypoyvrE3dUfeKkWqweDF2syfp7K4GHC1I9eGK9gxPHtgAA9VMcAAPrryI5swWysATaqCLpy9qD\nCRcqPwDcIyCu/E7kAGBKJTg4XQBEiImYMD0fnHIQqSQkFOBSPUgdDkSpYhEAWOgiYUfBWR9OuIb5\n68R9urG8iqNnxXebYxszOCvP63zfw6oMJVkPs+pBAOjEFbSZCidp6ACyPu2k3xdI+n0h4RESqSQ0\naw6r7wucs2ztYfP7QmkdQoVETU2K/FfbiUJLTIxRk3DIdwYCcmCvDXns973pclBZ7gYOlEZhCGwJ\n5cMLSwxaXL4Yl2Qb4wpXRhIeBAKwdBxDLMJFJGCG9BthEzZJQmEZlgm/RqCIQyraKuwS8eXURSWT\nLlxhigysoS7txnU3JQNnPII5X5ybShle8ovJwNmrI/iPWxAn8NTrwK67VizXajpcBJsdYP4oAAK+\nWB+cs2lChouQdhu8WQF4H5irAaiBrK6AfOaLAIDky4+g/TXxBfbsuTk80hZqhTM9XxdSXwsINkIx\nP9thgrYKF5FkYJt00aPSGkTaOlAkZL30y71hDYpZmEkUVn9H2YR3K0X4ouzB6UHHbzvWsQ83dvO8\npvmQcZhej4NgNz9M87UXuNjzvxTmrzBEZFKysPA7inn9HSesxNivNLSkyG7MZF/FVmPCQiQquIyF\nmpSKiIdQlsaISFcHaPQd8UNYlzc0SdhkNbQj8Z1jO3SwLcmxzYqL9UiM40LfwwVpxT25IoI5Tpze\nRuVEDOA8ko0aktqi/hGPyvkgCcB9lVwMERwCADEFp7KNOm9K0nk3QksIA7h6gmNUk4QgHHBE3zrB\n2OXgFQ7MVsCTkwhXO+Bbm3BohMVHifIks60+jl8Q37ce2ZjVwSsXAldbjDdUWEvo6OCWTuyjk4g5\n6KChS48EpKfnOjR/VKTB/8/efcfJVZX/A/+ce6dt382mkAKkQCBUEaSj9C5NQJpgAAEFsSBff2BB\nBQG/dpBi+IqiqKhAQCAiBIP0IgSQFhIISUjdbJ9+y/n9cW6bnZnd2d3Z3Zns5+0rZpi5c+6dO5ud\nM899nvPAcsq/Cy09ImF7FxuLLj0SbEqW1+AGAKwhNS0JKrmBifvvoMh8Yqx/H491wG+wqimYSrQl\nYmCQiAhh1VREy6LgLHLMWIDVW3T9PCIiIqpAqSTsziREYxMwpRmVMrcQtXXqj5UE0l2AkR3rQyIi\nogrAwCCNS4O6ilZi2cCwxx7QwB1ny10erMYsnB3o/l2oTFgI3SsT1rSQ11xEE+GcUmE3OzAi1dXp\nKGoQs9TtOsRQq6nn1YV11DlX1RvDAo1OlmBLRGJiRF1dnhT1G4tMae0FUKBkeM5sdbuuDkgkABGB\n2JyCbHS2aWwocL5GUUpdYReJBGRdGEAWctIE737tyacBAPZ/1yD5lrpv45oGfNSjjntdKopNGXXe\n2zICnRk/S7DHUOcpbmcRdzIlkprKckiLuF8CZCe9Bd0tmfGu3pt2xrtSHywVdh8vpUxY5gU4A//d\nT/BzLDMESzsOCuJ5Gjs89zQUeU1EBprHlKHUOOephbLGhdZvuXGw1FhAg237j7uZ7Jrwl7jQRBi6\n+9mmZXKyBwEgK5Je9mBaNiDpZA/G7SgSppM9aOjocjPoomEve3BzRj2+OVmDaRvU5+qkbeOIThQA\nemCtjSNb0wJRVw89JqG55y8kvNcodKkakyDwcRgKNCSBzFnOxL1fBqZxQgjAGcNrTmLZgOHcZ9gI\nOcUQtlkLQ9YDdhJarBOts1T2YNPkNKa3qezB9X1KjAGgPauhyykr7s7q6DXcEmM/ezApM0gJNV5G\npJF25hqmzHgNSkypHjftDGzNLy+23Nu2kVNtUKjcWBTNIhygOkH03SZXaQ1MglmJg/ue4D2tQoLF\nREQAA4M0rg0UaCu0Ps7gupONeODPe6D/AKB/OLmBwOIBQH+MQkFAr2QHWsEyYU2EvWBgSEShu7eR\nGwx0S4XrnMBgTERQ55Td1IWCwUCg2WkG3ByWmBj1g4FT6tREfnKrmng2zLIQ3tEtGZ4Le9ZMdbuu\nDuhW6wGJDR2QLU7J8MRogXM3SmzpX63PZAFdB2QWcmINAAmgJqfTcOb1TgBA+8oYPuqcAgBYm6zB\n+rQ6Z5szGtqdNY26AsHAXiuLpLMOUEJLIC3UucpI9XffYKDplBjbtlGkVDi307DL/xJnDbo82Lt7\nDNYKLDoMgyxENA4NOlAIDLLUOKiUsuO+5cbueG6QEID0lz0RTrRMCjs3SOjMUSxp5gQJASCrpXKD\nhJpaliOJOiRNdz3CGBJOiXHc0NHrBNy6suq+jmwI7Rk1p5ierMH0VjXnaNo2i7C1GUj1wJYTYJlq\n7iNCEpqzFiAiAtLrXOyUFNsCUnPLiuF3M847hYF1Ct3Ylxsg7NvB2OmajIxEJGQDjTHY2akwujKw\nu7sR0pJo2cYpMZ6UxvR29XrWdTQCADYka9DmBkKzGrqcsuIeQ/PWIUyaYSSdi7xJ20AK6uJlWksh\ng5R3vgHAFOmc9Ystd61izSxabpxbYpw7PxGwveRMtZSJ/3PjzleDXY6D43hKWqew7xzbPfFDCKpX\nqkEvazRM1XRuRplaxbQ6VMtxUj4GBolo/BBRQIsCehqVUtbjkSZgJ6E+UvmrmYiIaItiZCF7NkDG\n6iCaWyBCFfRZH6uBFquBQBJIdQGZ9FgfERERjaIK+kQiGl0DdxcsoVPZaGUEAkWyAvPHLVYe7D4m\nCpYSF84M7NtQRHNKe7VA5mChMmFdhBGCXzIclW534Rgitrq/BlGvVLg2pI6zPqyj3rli3hgWaHa6\nCzeH7UCWYAZT6lWWYOukBOqc6uDQ3FZ142NzYc+apW5HoypLUEQh2pKQ9eqqtWydODYdhl1uazHT\nhEgnATsF2VALhFRWgtiwwWsuYr6+Hj3L1Plet0m9xjXxOqxzyno2pjV0OL1TOjJ2IEvQQFyqK/JJ\nLYGkUE1YMjIOw1ZZEW6WoGmnvE6Blu2XDwevwhcvFS5UJjxKXYTVjkvbrpShmCFIRJRn0E3VBiw1\nDur7u97NAuyTtVggq6tYqXGwUUkp2YMAEJKG381Yy3jZg2lR62UPpmUDkqZTLmvFvBLjuKH2ETcF\nekxV3tBp6Oh0sgen9cQxfbrKHoxNB+xUAuhKwg43AS1NgBAQUkKYfokx4HQwdrMHdeGfw0AjEucF\n+adFz50TSk36Y4Q0yJDTnCRs+x2MdQnNaYhimzFYYiqgZyBEJ5pq1DyiYVIbAGBGewTr29VcalOq\nBm0Z9Xo3Z3V0ZdVx9BghxJ0y614jhJSpzkPSrkXSyQ7MCFWZkBJJv6xbpmHCzx70MwaN3HLjQFmx\ne18wi9B9n0XwZ0QE5y2hnDLl3ExCANAwmAYmJTcrcQ9qqEqZ74x2ll+ZsUMx0dhhYJDGr2AAzStB\nKKWD2MABvoK7G2gyXWLgDxg4+Kf2138AsO+2hboIC6F5awWqNQT9ICCQXybsBgajshZhqMli1I4i\nJlXZTI0Ioca5Ql6r66hzg4ARNxioSoUBYELEQmtETQqn1KQwqUmVvTZvlUZ0ptqnPmcy5Md3AgDY\n227rvEQN6O0FICC6U5ANKpgm62NjGwx0ZTIQ8TggJWRjDLIpDCAMJBLQnnwGAGD/9yMk3laT5o1r\nG/BRr5qEf5RU53djRsdmJxjYmZHoyqqf3x4ji7gz6Y5rcSQ1tdZiRvYiazsTbzsJyy3bcUqGiwUD\npTSR21F4gCDgoMuDh1hwwGAgEdGYGHSQ0Htin9+1JQcKgYLlxtIK7L9vqfHggoSACi65cxtbGjA1\n9XlrCn9dvIxIIiVUkDAlG5DMqot5buArYYTQ6wQJe40QepzbHdkwOpy1+qZv6sWkbeMAJCJb9cLa\n1AvRPAFmug66s7KJcOZBwpR9goR+YNCf1mmAe26CcxzntoDwp4m2P54w/SAhwjaE4e9Ti0gAEUhj\nCqweA3ZXFzSoC7KNM7JomNYOAJixKYSNm50gYbLWW2uxPRvygoTdRghxZ+xeI4SkE0xNWmo+kbbr\nkIKai6RFChlnbUJDy8Bw1yFExis3VoFBp9xYFg4WugHF4HqEfUuQvTPVJ2DobltoncJiwUIBFJn/\n6M54g51nFJkbjWjQb2jfbcpK2Cwn7gdPDY00BgaJaAsjABEDRMQpGa5AdhawklATschYHw0RERGN\nBcuCbG+DbfRAn9oKhCtsThCJQJs8GUJmILu7AKdRGRERbVkYGKTxSQjkXB3Ly9YrfLWu0ALE/e9n\noCtw/ZUBu/S8ewo1DfHvL5ARWCAzMJgBKISWUx4snH1qIuRlBOaUCsPPGHTLhMOIIOqUCcdkDFEn\n07BWCyHmlLbUhTXUOlerG/qUCgMqS3BSVF0VnlybQusEp6HI1ibCs9VVerH99pA7bgcAsKdN809K\n1gAQgUgZkDF1TLJlQmWUDKdSEJkMIE3IWh1yUgPgLMatvfIqAEC+9j7Sb6py3/YPa/BR52QAwEfJ\nGmx0Og1vSjvdEDMSnRk3S9BEj1MSHBcJL0swjTiytjp/WZmC6ZUPZ71FvC23yUjJWYL9ZweWrTw4\nb+DyXiZlliAR0fANOXsQKP57veTGJblZhKJANlep2YOA+hzMyR50M+o1P1vN1NIwhd+sJCNVQ460\ndDIHs3VIWmp+lDBCiBt+1ly3oeYlHZkIpidV9uC0jT1onqk+Y6PNWVgb1gH1DbAiLYCuQwu72XuA\nZgHS/dYWkn73Ydv2MwltfxvhvexACbKuSpadE+ZNF4UuIJ2mJMKy4STcQeq2l70ojQhQMxlWwoCW\n7gaScdRNMzFrsmqKNq2zG+1t6jxsTtaiLa3mg+2ZMLqczMluQ6DH6WLslhonjDCSlgqGpq0apJ3q\nhRQyyAo3UzMNw8naDJYbu5mBOU1LpJmTMehnElo5c5timYRA8QYm/XY7FoW2cc4vULSiopD8xiaV\nYaS6KHNORlQZGBikcatwEM5VpFvZgIG+we6rcBlwzn1FSoKD9xXrLty3rFjTwl4AMLc02C8f1kUo\nJ/CnObfDIoawdEuFVWlwWIa9MuGoCKHWWbMnpmuoCTnBwJBAnRoCjWGg0ZlktoT9UuFJNSqzb1JD\nAs2TVMlrbFsNoe0mqCfuMgf2dBUElC0tgKkmeujsBCI1Kjsw1gRAQDZVQLmwUyLjHSck5IRaAOr1\nilWr1N//eRPG6xsBAN3LQ1jX5qwhmKjDhgJrCLolw11ZE72WGisuU4i7wUAR9zoNZ+24/2XGSnnr\nCapJs/Plx3YnzMFgoFG4VDhvPZ1ChtGLbIRrJDjxJCIaOUPqZFxwoFIDhrmfN8FgymCDhOo5WtEg\noR4oWTUD6xCaTtlrVlMX+jIyg7TprEdoxZByg4SmhrjpBsci6HSCYp2ZKKb1qs/sqVv1oHYbAIhD\nSyeAhmbYaIDtlORKW3odhbWwcJswqyChdLsZC8DZT06A0D01IhAk1Py5YXAdwmAXYxFGTpAQALRI\nGNKaCFjNsDp6YSXigGUh2mRjequai0yO9yLZqYJ9Gzoa0J5W88T2bASdThfjLsNdj1Dzyq+Tpl9q\nnDKjfpDQNpFxyo2zIoOssz5hobUJbWnAQqCbsRcw9Oc2Vs7FUKvPxVA3GJgfRAyWHecG7woHDF25\ngcOgIkkIwKACiaNmiN+BBhw255zmnz8CpLqcMdaHUZJqOU7Kx8AgEVWpMKA3qC7DACquy7BLZgE7\nDjdDkIiIiKgo2wa6O2BneyFaWiGisbE+onx6CKKpBVpdM2QyCRi9gFWhy7cQEdGAGBikcUqDcLLl\nBlbsql3wqlZ+uW9Q30xAUaBMIHeb4uXA7vMLdxHW/SYiOQ1FAiXDzu1gZqAW6CKsi7CXGRhGFGGp\nrvqG7TCiznp4NU6ZcCxQJlwT0lDnlAnXhYF657dLU1ii0SkVbglbaHVKhVtr0l6pcP10dVU4MrMW\nYjvVRETutD3sqU6pcCgEpFIANIiuFGSNKt9BTQQIl/o+jhLDgEgmVdlwYxSABGINTkMUQHv+P7Df\nWAMAiL9jYsM69Vo+6q3HulT/zUV6DXXlu1emkXQ6Jia1XqShzmPG9jsOWzLTT3MR/zbQT8mwtPtk\ngQzzCvYYrJzMTEEiotFXtgxCb8B+fpcLgeDn02CzB9Vz9ILZgxK2//mpGdA053NV+k1J3CxCQ6SR\ncbLYMrIJ6awqH05bESRNNSlKGJpXTttjaOjIqjlMR6oG0zY7GXcz1Wd6ZCsbVvcGwKiFHZkArdZp\njiGkt1SJkMJPLrOlNx0VThah1IWfUShE4QYlNiA1/z4hnHOt52YPAiqD0OueDKmyFKN1kFYdrKQJ\nGe+FFu1F09bqPDVObUemWw3e3laHzUl1TtqdUuOObMgrNe41BXq9UmOJlKVuJ00bKVMFR9O2iYyt\n5ispuOfd8JqWmCIDw83qlGlYMJ33y8jpcuxmBPbNJARKb2Di/QzldMgONjBxHs55PCg3O27gCqVy\nZxFWSMmy+31GmpDC+0c6hgdEND4xMEjjliYKLfBc4EO36Ad64X8+hcuGC5UD5/93sAy47+MqGOh3\nC9YKlgzr0LwuwrrXUTgYAAyWCYek31E44gYAZRhR9zZCiDnlwRFd84KAtU6ZcI3ulwnXh1QQEAAa\nwzaawmrCMyGSRatTKjyhMYmGSWrCFt0mBH1mi3ryTrMAAPbWM1SpMKDKcJ1gGvQoUNMIQIesqbBA\nIKA6DSdUQE421UM2RQDo6qo/AO35FyHfVOXDqf/2on21mhiv6WzFupSa7G5Ih9CW8dcQ9DsNm+i1\n1AQ77gUD40gLJxgo/WCgYadg2W7H4YwX+LPsbM4agu79Qw4GVviEjcFAIqLKUvZAYc7ggbEHHSR0\n7/BrboNBQvU57t5vQwsEj9zPVVtzAk6aX2psaBlvDcKUVYe0rT73U2YYCdNZX88U6HYCYZ3ZOnRk\n1NxrmrMG4VbretE6ywKSSYQjGVjxeoiGZhi9IqeDsVcGHBKAU/LrXa/WNW8NwmCQsC/hBGSk9DsX\nA8If23bmmWEb0nDLigXgdBy2DQktEgKaWyDNZlhdCch4L5DJINqktp8+qRdTnHldqlvN5do66tHu\nzIM6shF0ZdX56DY19DrlxnFTR9I5Z6rcWI2XtqLO35ZXdpyBAUOo9yMj0jCc4KGlmV6XYxtG0YAh\nkL9Ooe0GEW2jYIlxMAjYd71C5+T1CUq7QnkBxPxtgsa6zLb/JIihc+ai0AA51q+xQsmKn3r7quU4\nKQ8Dg0RUoTRAc9YP1DSM3ISkXCRgp51JN3+1EhERUZlICfR0QybikOEJQLRurI+oOCEg6uoh6uoh\njSyQ7QUScTBiQERUufjtlcYV9wq1gICuFcoYVGSRdP1iV/FKbxrSX0dhPecxrU/2YE4X4UD2oC78\nLsK6CHtj6vC7CBfLDAw790cRRsQZL6rpiDiZgTFdIOZcaa4JCb9U2FkAuyGUWybcHFGZba01aTTX\nq3KaxklpRKep8ULbNALbzQYAyO1mw95qq9yTls1CdPYAIgoZrQVq1VXziioXdsp5YZqA4WTeRQTk\nhCjglFpr772n7n9tmXrK623oWqFew7rNE/GRU0qzIR3GRqfTcEfGby7Sk7W85iI9MomklgAApIX6\nOyN7kbWdRbftJCy3yYid9TIGbdsMlAqb/ZQNA6qVoXvlWyK3+3D1TOSZKUhEVB0G+/u65AzDQWcP\nuuWgWsHsQUva/tzMtv0S40C5abA5iaU5t0Vu9mDW+ZxOm3VI2ypDLmWGvOzBuCnQY6o5RIeTNbc5\nHcP0uPrc32piDxpnqc/nCDbD2tgD0dIKKxuBcMuHdQktFsgeBFQGYTB7sEgjEu/90ISXPaie447j\nnl4BoTnzUtuGdCpFNEMCltPBOCu9Y5KRCGSsFWiYALM7Dr2+FzCyaJypzl3DjE5s3aO27WmLYXOP\nCnh2ZaJemXWPEUK301Sl1xBIuGXZTklzygwhZbqdjW2knVLjjKxH1nmPsjC9TEJDZL1MQkPzOxoP\n1MBEanbBTEKVPehmveVnDAabmRR6zOeXJhd+PP9re7HvK+VQaNmjkeD+u1Sv1a2AkpzTEY0yBgZp\ni1dwMilCCIfU5KNYsE8OMZ3dDdip2/56f33vc2+7Qb2+awX2DQzqCPvBQIS8bsGa0L3yYF2GEIYb\nDAx5gT/vb4QQdcaIaDpiuns7NwAYc15CXQhwlrRBQ0iiIaTOSWNYTXwnRLJoccqEWxpSqG91yoSn\nadBnqGYbYruZkLO2BgDYEycBNTX+ycqqQCIMSy1gE66HbHJKibUylhkNV7DLcEYdszBNyMY6AGkg\nJCA2b1L3v/w6rP+uAwAk3lXP27CuCR/FVafC9akINmbUCd6cUWXDANCTtdHtBB0TMoO4EwRMaQlv\nDcGs7fwt/ZJhy84U7TjsriWo1sXxJ7P9dxouHhQcaJJW1tKwEnHiSES05RvS54+UfboZFw4SAm6g\nsP8goQ0/oCiFnRcEsm0DthsY1P3AoKUZXgfdrMwiI9X8M52tRdLtXGyEkHDX2ouqOUK3GUOXU2rc\nnophepeaA0zZugex6QZgbgDsWtihCYCmQVr+x7bQnIBdVBYOEmp+YFBocCoz1Jlx1xvMW5MQznl2\n1iCUUnjrDYqQhHRKfBGWEO6KJaaEbUoAAlq0AdJqALIZmN29QDIBTZOITFCbTmxOY0JWzSmNHoGe\nDqebcW8tujJqbttlhNHtdHXucc5XwhTodQKHKVND0lmbMG1KZLxyY9tbmzBrWzCcUuKMyMJwgoBu\nt2NTZGA6QURTZrwgYTBgKKXtBRRz1h4MXHj1fi5y1ia0BgwSFgr2Ff+uMvrdiwsvmTR03lxV2IA3\nbyWi0cbAIBGNoZAKCHpzjAoKBvbLBqwE/OOtkAWciYiIaPxIxGHHExDNLRANDaiKeVQkCm1CFGiZ\nAJGKA0gA2cxYHxVRxepTy1PRquU4KR8Dg7RFK5bBJISGiO6vzzLQFTc5wIK/AvlZgn3LhHOahQS2\n1wJZgrrzT1JAhx4oGwZUObCXGYgQQlJtG5Zh6O5thBB2MgLD0BDVnIxApzQ4mBkY0wVqnN8AtSGB\nGmeB6bqQRL1zuyFsocnJDmwM+9mBjQ3q77pJWUS2UvsIzWjwy4S3ng45caK6HcwQTCSARFYFA6O1\nQMQ5DxVUKexxswRtW2UKAhCJBGR9GJBZyMZmv9Pwy0thv/URACC1LIXNa9TP1toulTW5LhXDhrRz\n1T+roT2tzm9X1kaPU46csAyvuUhCS+Q2F5F+cxFAZQlaXmORwh2HVZmT32SkeNkw/PtdgUzBwWTk\nBbcdqexBZggSEVFf7mdD3mdPXmmxK3fel19mXCh70IB0qzxgew3GvPLiQBahDdtvSiKNQAfjNLKa\nmhtkZANSlpM9aMeQMp3sQbe82BBeB+MuQ/dKa9tTNZi2Uc0/Jm6bRHSKANAFY3MvrJpmiNo6uKvl\n2BlAGG5nYelnAIYBaIHuw85rEbrwiwpCqmMxAP95QnjXQnOzB6VXgixCEtJZcgaWDc1ynmtISNPd\nHgA0INoIaTUClgU7noTMJoBMGpFmiYkT1JynNZuCEVdj9HZG0dHrlhurF9lthL3z1Gtq6DXVtklT\neOcybelIOSXIWVsi7ZQ9Z/tkEgK5DUwMGAUzCS1pwHYzCeGXGHuNSqQRKDW2crJLi2UVunKzCP3v\nH4PJJBxLg80odOewgMrQBMCUQaIxwMAgEY0wtxlHCNBClVUiXDIJyAxgdgGyaawPhoiIiCiXaUBu\nboMMdUKb2ATU1aMqMggBQNch6hsg6hoAywZkAkirICEREY08BgZpi1NKppImoqjRW/LuL7auoF0k\nMVrrkxWo9u+vK+itHwgNWuBxzblfk1pgez9jMCRDXhagLp2MPNVOBAAQFjrCzhW5sNAQdoJtIU0g\n4qwTE9WBqJcdCOdv4TUOqdVloImI5a0f2BTJojGqro421qZR36Su3sUm2Qhv5TTXmKqudmPOdMgZ\nU9U5mtAKRKPOCZNAPK06Cqd0IKQBsIFIGNCdXzuVGCC0JWA5Vy5tlVknUl2QTXUAdMjarVTWIwDt\n2Rcg314NAMi824uOD9VaOOs7J2Gd01xkY0a91raMhnbnImh31kZPVp3rXtNAj1ST3qSWQBpOkxHE\nYdgqS7DveoIAYNoZfy1BaQauttr9NBnx1xXMz7orf7ORotkbg3w+ERFRqfrNXC+aPQj036TEDtzv\npdB5t4qtO2jbKosspAXW/9X8BiUG0sg4aw9mZAPSpqqwSDrr4qXMMBKBphvdhpqDdRkhtKfVNtN6\nk5jcrCoMWmakEZuujtHqbQcyXbD1ZmjN9YAQkLa/9qCwJYQzD5PB7EEpVNYgAJgapLu9e06KJIMJ\nISDdb5U2/AYmuoBwzrsM+w1KctYgzLoLIzoFDboGiQYg3ADU25CJJCKNCSCdwsSJ/jqEppNFmOwO\no6NHzbu601H0GiqzstsIodfJGEyYAkknczFhakg5x5E2daTdNQmd+zJWFBkngzJrWzCc2wZMZJ21\nCQ1hwHJehAkTlptJ6NxnwYDtfKewYRTOJAxUc6h1CP0GJn0zAYOVS3mPDTFrsNh3myCtjEvl9M0k\ndI/bPWcSNoSt3gspjKpqfjca7Co5HXzbqhcDg7TFGEwAQogQGjAp734phvbhGgz2BQOD7geqLkPQ\npHu/8IJ+KnToBv406F6jEYGQczvkTNDCmoaI5t4WiDj3RzQVBASAqCYQdcqAa3QV/AP8v+sCAcCG\nsOEFAJtq06hrUEGnmgkWQpOcJidTaiGmOedpztaQk9Vtu9ltEKJ5ZbboTQCGUGXCkRhQqyZp0DVA\n90unK07fYKBhqJlpQwSABRlrAFJq4q698SbwjgoGZpd1ofsDNUnf2NGKdQm303AEbVn13rnBwK4s\nvGBgj2EibqvznhQpJDU1oU+LODJS3TbspFdOoZqLZJ1DdUpV+nQcDi5Y7U8QB1k+PEIY4CMiorEg\nIYvPDft+ey2hSYmQtpeAp57uNp9wLvYCsAPlxV6JMeycwJDXBVdL53QuzkjVpMxvTlKDpKXmGUkz\nFAgS6uhyGm90ZEOYklYXJrfqSWFyiyoxbto6C9gWIo1dsLq6gIZG2Gj0GpEEg4SahN912IYfgdCk\nFyT0phMaci7sugFAGTyfml9urF623+REOBekc0qNI854lnSvZ8I2pdOHQoNorgdkPdBgw06lYNsq\nSBhuVmM0T8yi2ZknmQkg26N23tVRix4ngNqTjXgBw15TR9w5lwlLQ8otPbacBiaWhrQzLUxbgbJj\nW3pBQtOWMJxAniFtr5mJCT/YZTovRt12AoaBgKINv8TYkoYX/LMRDDD7AcFgQDGoUGCwlKBfIcH9\nBZspDlV/gUX3GN2L3lJaMJ0ldYAMuFod0ehiYJCIhkEDEAEQUsG/SswCHAxpA3YSkAYAlgwTERFR\nlbMtoLsTdqIbWnMTRENjgYzJKqBpQG0dtFgdICWETEKmEoCZAhelIyIaHgYGqaoNtUwxpMcwyZ7s\n/bc9hAmFFti3cAqHg/frQoPu3icEdOHeLxByF2gWAm7FRljztwlrCGQHqscjun9fTJd+ebAmEfMy\nA23U6uoKW13IRJ3TOKQhoq6kNtRkcjMDW50MxSm1EFttpQbcdirkpFYAgGxsgnTLgyMR75UjYwMi\npK7uuqXBsZjKDgQqO0MQyM0SlACMNGCngYYaIOZkOmbUedJee8PLEjSWd6NnpXptm9pbsD6hrupv\nTEfQllH3b84IdDplMT1Z9V7EDQu9lnoPEkgjqTklwyKBjFRX97N2yisftmQgS9A2csqG1X0m4GUf\nmMWzBF155cMFrsIy95+IiLYwJTfFKppBaMNNf5OQXtkwhP8Ud1Nb+lUjQuZmDHoloyLk35amV1Zs\nC8PLHswGyoszhZqTGDriTpZbjxHysgc3Z8KYnFLlyFO61HxiUnMcTduqLLDoNA12bxfQ0wMLDUBD\nI6BpsNISbpVnToMS3c/sE7r7t/BfsBD++e2bGOaOoYlAWbGfWeiOB1uDcLMsbaj1BQHVsMRytwFs\nt4GKVwAhIFEHROogbQlkUpCpJMItaYSb1OutmRLHVllViWEmBTIJNU/r6qpFT0bNbXuzYfQ6TUm8\npi+mhoSbPWgKpG11W2UPqm2ylsogBADDljCc22bwPud9NqQNy7ltwoblZPyZsGAJJ6sQJmzhlxVb\ncH8u/PJiO1DVZMO/P8gusCRSoaYl+dv032QRyG20OBiiSNage1yGkyUoYSFr9gBACUczvkhUT+i7\nWo6T8jEwSKNuoGBeodLDcnc4jeh12CpSP6wxNPhzIw0C/nIq7np/8IJ+ek4A0I+fhXLul34QUAOi\nTomHG/RTAUD1IVqr26h1SoLrQgbqIqospTZioKZGBZRqGgxEnDKLUKtT5jKpFmJyIADYqkqCZWMT\npBv4i0a97nRIpQDpNA9JCyBSA0D4XYRDqJ4sQcPwP62k203QUjXXEQGgBshmoS19XW2zbI162rIu\nLxjY1tGE9fFAMDCrfoV2ZgU6Mn4wMG44awha6n1JygySzsQnJRJIwykZln4w0JSZwBqC2SJlw25p\niZmzjlHBtQTd14kSyocZFCQioi1cyUFCoE/UL7+0OH/tQSA3iKj799p2wc7FljQRcj/rNT8w6HYw\n7m8NwpSlJmJxQ0OvoV5LlxFCh+FepFSPT0rWYHKXGkMFCU0AFsKtcdg9PUBdI2y9EdJZ7kZa8DoN\na2EJ4azLJ91S45D0Y6aaHyQUwUmxEPAmXH3miMK7gOyeHAkpnTFsCTj7E1JCeoFBCS3sRl/hBQz9\nDscCiNRCNNSqAEraADJpSJmCNDKAbSHcLBGZoOZSdVN6MM2JPJkJgUxSzeW6u9X57clEkXC7HBth\nr8Q4YepI2+o40pZA2jnWjO3fNqW7TiFgOj822UDg0LClFzw0pYTlbG9JGQgeSi+Aano/Y7aXxGA7\n/wWon6dCyQ05XY4LzPvsIS6dVCp3+aT+uMeQFupiuaUbSGmdAAATggEmolHGwCAR9aFB/WrQAS2s\nGogAULOxKgkCDkSagJ2CCqjVjfXREBEREY0uKYF4N2SiG6hvgGhoqvyKj1KEwkAorDoct8C5MJwG\njJRTDcJ8NCKivhgYpIpT7uzAQiKhRmxbX9rkp29CXPD4vGoLAejOFVY3AzAknGa8UFmCYefxsCbh\nXvhUWYLq/ohmI6qpq2cx3UZMV1c2a0LO32ETtTGVDRirMRBtUPeHG4FQi5MR2BSFaHE6Bk9rBbZS\nzUJkY6P6u6kJMuT8sw+HncYhGpA2AVEDCB3ISMDbJuLHAkOR6skOdBfOtkwgq67GC9NQ3fXsNNBU\nD0At1o1MBtqrr6nby9fCWNYFAOj90C0ZbsLGAiXDHVmBbvV2oCuQJRg3TSScxiEJoa7Sp7Uk0kJl\nCWZlEoZ0sgTtDCwZyBJ0Ohja0ixYNhwsP0LBDnV+kxGgPI1G3J93NhEhIqItRcnVKXmdjP0sQW/7\nIuXF7lREBFowWDLQWEL4nWgtacLWnM62ThahpRmwnW63fZuTpLMquy1lRpBwsgR7shq6nEYenRE1\nj9uc1dGWURd4g9mDE5sSaN7GmUduFYLd2wv0xmGYdRB1TYAegjT9ZiHu31pIeNmDEABC0r+t+RmD\nXmdjG163YlFoXUNN+OdRSK8LMmy/vFmtJyj9U+2eZLfDcYEsQnffAIBoGEILQ1oNQD0gLANIpiEz\naUSiaUQmqHNcv5X6e5oFWCl1TNmkjmTC6QadqEHSKTtOmSGknUzCpKV7t1NO5mDaFsg62YVZSyDj\n3rZFoOwYMJxjNCRg2W72IPxMQtt9qX7en2VLL0tQytzlkGTOy8/9GbdlcDsZ2K48Btu/2P33EXea\n7Rh6BnF9EwAgI0IQbrUM558Aqqgr8VgfAA0ZA4M0qkYj6Fd85/6+67VJ2LEx/6NQy9lcFrzfm/dA\nBgKD0gsMuoG+sJAIO4G+qG4joqnJX0S3EHHKgMOajXDYWfslYiIccbapNxF2Kp31BqebcUMIolGt\niSImtgBbTVAbNDVANjgb19XBdmdSsRhQU5P7AjMZeBmBaQBhJ4gYgx8ADIeqJwAYZAWuALszqXRa\n1W1LA7IpAjX9qQcSCa9kWL63Dtnl3QCA3lUhtHWopiPBYODmrJoFt2f8YGCPIdHrzOgSZm6n4ZSm\nAn9Z4ZYA9cJ0yoSzMuWVDFt2Bpa3fqDhBAFz1w3MLxsG+ltL0LtZSlCQJcREREQASig1ljJn7UHZ\nJxSS37XYb+Xr3hLQinYu9tch9OcCbrDQFBm/1FhkkBFqjpKya5DMqgudSSvsr5PnrDvYlRU5QcKN\naRXkmpys9YKErY0JtGxjApCItCZhJ3qB2nrYsgFSRt2To44pEJ0QYQlhBkqN3YChJp1laJw1CQ13\nG+HfP1DzEy1QjgwBr7NxYDrjBishpR+btWx4y+xZ0nsLpCn9ybzuZBSiAULzS49hpIF0GsK2EJng\nXLSfYKImpd6PCWYStts12dBgpNWA2UwIyZQ6r+7ahVlLQ9pS5z1taUhZmnfbXbPQsAWyXmBQwHCC\nh4YNWFJ427gvxQ0WSvjT3GATaSlzZ3vuFM/2/lvmBJdyZollmA4O9quDu8+erCp7N6yt0BVSy/gk\nRRgS6eEfFBGVjIFBoi2agJoJOTM2EYE3a3UmnlsuS3UY9maR/HVHRERENKBkHDIRhxQRiPoGiOb6\n6uxkXIpwGAiHIYRzsTxrAEgD2YwqQ05neSGViLZ4/KZMW7Yik5gWOQV7tXYFNnNKJAJZgt59fR4P\n3tacxiC6ZkNzMwWdrL9Q2EKoRgWl9CigORddtRoBrVZdVhU1IYhYyLldCzQ5HXEntwBNaoIi65w1\n8GpqvMtxth7yuwSHw2riAl1diY3E1FFbEnCuwnmlwcFLrdFYdWYGBgW7C7sNU4wUUB8FYAERf/1A\n0dEO8dpbAAD5/gZkV6huwD2rw2jrUE1YNiRqvZIbN0uwMyvQ5WYJZiXiTpZgr2ki6ZT+qixBp2xY\nJJB1SoWDjUVMWSBLsE/HYTdjEIHMgWAWwUBNRtT2zBQkIiIaDvezNC9zsGBTksJdi3OfYjjb6EU7\nF9tOJ1qpqXmIaivhdLAVGViB7MEM1Pwio9UjDaes2KpDwlLPTTgdjOsMHT1ZJ3sw4mcPtgeyBycl\nazCpS2VnTWxMoGW6ms+EmwVEyATQCbu9A6ith6U1QETV84QV6C6sAZr7rVJXSzkDTrMS3W0o4jcr\nkX73vuJz0UL35yRp+o8LN/2sb5fjQNmxNwXuW3oc7B0DQEbCao3tWAOkDYgmAKYJzcxCy2Yhs1no\nhoGIU/JdZ5toMtT52yow7bKc825mNBjOnDKRjCCZVecvbeowvOxBDVnndsbWvExBU/rZhW6VtGEL\nL6NQws+8C75cGyIvY9CWwmv0nFtyXP4y1VK+XrjH0plRPzjZnmas19V8vFuEylbivEWQ1TN1r5bj\npHwMDNKWp4QrmlMwATvs95HaXBP+pEALdFdzb4f8iQxCWmCbwCKCoTBE2KmhiDnBuKZaoNEp8a2J\nATEVGZTRqF/iGwlDCndCCT/YV1MDaM7YWScqlck4AT7N+fQXAHTACgGaM54t/dZxIQ3QQzmvC5rb\nTrjKuWXD2azzGm0gKgAYQDQEOAE7sWoVxNsrAAD2ik3IfKAmbj3rI9jU2QoA2JSqwaa0Oi/tWR0d\nWXWuetQQOcHAhGn1KRlWk+csUt4k3ZApmFLtxy0ftmTGC/qZdiany3DwtvTWU7GLlA27+ltLMLBN\nIfzEJiIiKomELKmsWNH8gGLwc7vP2oPex7CAF0GzbRtChHKGCy4rogv/dt8gYVaoi8oZLYVkIEgI\nAAkrglrD7WCcGyTscIJVm7M1XpBwQrLWDxLWJTFhsprbxCZJINGLcF0CMhkBahtgy1rYWXeunF9m\nDADCEt66gVIXEG65sdOdOKebMfrcLrCOT04JcjD65F7Y15Hb5diN04b8yEq/AUPnvpy1CgEgElJL\n7cRqVWGzcMYwDMhsFpqZBYwsYBqAbUFagO4kB8QiNqQzB2zMZOBMI9UhOAFAaQOm895YpgbLdIKK\nzt+GoSPlvI9ZU4ft/ExatvBuSwlYTiDRlioQqF6OG0QUMN39wX88t/y4vAkDwWWZ+nKDn5ucDtpJ\nK4IVCbU2+iYt4v8scN5KNCoYGCSqaDqACNSl2DCgBToE28GZ5TglTUC6HeaiY300RERERFu2bAbI\nZiCTAnasHqK+ESI0Dr9SCqEu6IcjfjxTQFWwZLIQVhbSyAIw1IVsBriIqIKNw9/iNBZyrraO2Rol\n/qXHreuiCF18ZPFNheZn7GkaEFKXOGXgfqlpfokuAOmWsppm4HnO47ru37ZtJ+NNU/sJhdVtTYe3\nJqAt/VZlCGT9ufvQQ/6/Xr1Km4WUwltR2fZfu2kANSEABlAroE5ECEgkAADam28DK9cDAKwPOpBa\npbILuzfVYFOPuhLZloqh3Smz3pzVvVLh7izQa6h9FsoSTCGDtFsyjISfJYjcLEG307CbJWhJE7ZT\ncmLbfjORvh2Hc5uMFCkbds+HezMvW7C8mYLsBkdERONZaWXFQPDzN9iYJLcpSfAzXYN0Onb07VwM\nAJoWgnS6TNhayFuGJKRFvGoDU4t6TUmyIpmTPQgASdQgYasswmQ25pUYxw0d3WG1x86sQHtYTSqb\nIzo2OhlcE1I1mNirlrWZsE6N19KQQtM0tT+9CdDRC2R6Yaeiqsy4phYICQi3AYjwuwuLsPTnq7oz\n3wkFTp/mV+gILXCahPDLfEOBrEF3jqiJnHmwmwEoNfQpEy7SwCSYSQi4qXf+tm7Nqw2vY4e0pP/2\nB1d2sdTBi1gMEDG1R2e6D9OEblvQLQvSMgHDgjQswDIhsxbCtukci+WN7ZVkB49ZUxma3v12/jZS\nAtJtDONmDAaKTaQUkG72YLAhSZGMQXfbIKGVNj8sljWYdUqIN3Spn7Gk1Yx3eicDAFbpMWSNPjXe\nRDSiGBikcWn7RgE5fUbpT7ALfChpWv59APzuaU6AD86ExhbOp7mAG/SBZTs3pdMfxOnCJjTALU32\nbCFlwP2xLL/VmrQB0zlPIV2VCMMAwjYAFagT69ZBvLlMbb5yEwAg+2EciY+c9QE7atGWUJPktnQM\nHVn1K6/D0NDllQxLxJ1gYK9hI+EEdt31A0sNBrqT9L6dhoF+SoaLBAP9/waGtZagP1j/jxd7GoOC\nREREAAYoKwb6XPi2UXDtQSCnc3GwWtJdY9BdgzBYXiztwHqE0oKm+fMMy+1W3CdIqP6uRcZZbiYd\nCBLGs1HUeusQhtAT8rsYNzjzz00hDc0RtU1zUnU+bu5pwMR2NfeZUJtC6xR1UTYyIY1QTQbI6JBW\nHSw0QIRCao0+d7ps+kEit9RYCwlvBRw1dfZLgr1gnwgEoUzNK032youLTIGEEJAyd1t1O2cr/1aw\nFNqbgtm5AUPvgnXgJyEY6w0s7CeDi/8BQDgEKUMq2BcGZMR/zA0gQkoIy4SwLFWSbJiQlgXNNiGE\nCiIK3VLLGUHtQ2b9V5O78ozM+VsU+9rSR6Hp56CVsK+Y0+054wQIG0KNiAlVGaWJcfCdZxAkqic8\nym8O1YuBwX5kMhksXboUa9euxfr16yGlxFZbbYV9990XW2+9ddn319PTgyeeeAIfffQRotEott9+\ne3zyk5+ErvcNEI3sGEMVCoVz1/4IqLSMQT2sB/47eDyiyN82/ICfN0qf5/V9HPB+PRabtdAAJCCz\nTmCWpcJEREREFcu2gN5uyN5uyFgNUNcAUVc71kdVPYTwuiQDULkCzt3u+owi7GSh2s6fjO0EJJ1M\nR6n+SNv2bqvvI+5jgftz/vRpnDOcr2ulBCHdr1FOVZYW0hFygtJhGUbYCVwXymKUUsI0rbz7iWjo\nGBgs4C9/+Qtuv/12vPDCC0in0wW3Ofzww/HLX/4SO+2007D3l81m8b3vfQ8///nP8/Y3depU3Hzz\nzfjMZz4z4mMM10477YRQkTVGcn6lj1lgEHA/qbaZMwnAABMVt8GFbXuLA8O2Amv7md6HGTS30Yfs\nc1XSvd0nMDsKgdqKVag82GWaqsOyNIGYDtTp8DIl3VLh95YD76vGMfaHHUh9qLLyejeqwOHm7gnY\nnFJXxDdnwl6WYJch0GM4WYJZiYSp9h03LCSd9zppG0hBXW0vlCVoIgPD6TjcX5agm+2XmyXoXuk3\n+2QJuvo2GcmvDRmtJiPMFCQiIspXtKwY6NOQBCjYlAQiJwDjf1QHMwzzy4ul1PyMQeFXIdgiVDR7\nEHCbkxTOHkx5JcZR9BpqrlSbDaHOKTGuC2lod6or6p35fVM4hMZAo5IJPaoMtLUmjQmNaj8NkzII\nNQFACsimYPaGIOrqgUid36DPOU2W6ZcaQ5PQQm7XYgQCR9L/IqH5XY5zOhyXmA2nxghkCQbfL+d1\nw5bevqUUgY7H/qYit/7Wv1loGztQdmwGtg+WJkupypD77KdQ0YgqVlF10t5z3JcRCvy3W8JdQqDP\nfQ8CVe+DT/0a5Nc74XxdjYTV97GW2gmY2aDSH3uM7ZHMqAY6UuYHAE3TxBtvvDrIAySi/jAwWMA/\n/vEPPPnkkwCA2tpaHHTQQdhuu+0ghMBLL72El156CYsXL8Zee+2Ff/zjH/jUpz415H3Zto0zzzwT\n999/PwBg1113xSc/+UkkEgk89NBDWL9+PU499VTccccduPDCC0dsjLFV6qf5cLPuNG8ilyqwVkYe\nN3g3noN45RIMsrpM0y/HDocBmEBYADUagAiQyUCsWQsAEG8vh1zdDgAwPowjuVa9f13ttWhPNANQ\npcIA0JENo8Pp7NZtCK+7cNxQ6wUCQMKwkbSckmFpIO3MTlJaClmogOBAwUBbGjCdtQf7BgP9IKBf\nj+Hd12/H4VLKhgtsGzTMxa0ZFCQiIurfsMqKvVpiOyeY0vep+eXFTtdaaUM4kZz+goQAYIlMwSBh\nGlGkNRWQSaIGUanmUDVmFL2WCvzVaiHUOCXGtc7f7aHcUuPGsF9q3NJbDwBo3ZxBS43T2XhyHJFG\nE+jtghbtgjDDQKwWQB0QicA2/emOFgLsbGAOohUuN5YhmXuKdS23TLZQAkLOff5FfCllfrVTMHAI\n4XU8ljlr6gWeEyxBzt8zYAeChBFZWmlyodvB+Z03Ru6uZH9zwD5rEBZ6TGiB6ecI5HHkBCC30OXR\nR4pdJdPzajlOysfAYBFz5szB//zP/+Bzn/scampqch576KGHcPrppyOVSuHMM8/EsmXL0NDQMKT9\n3HbbbV5A75vf/CZuvPFG77Guri4cd9xxeO655/ClL30JBx98MLbbbrsRGYNoTEhD/fEuCw/mki8R\nERERVQ3TAOLdkNluQA9BhmtVw5JobKyPjIhoXGNgsIBLLrkECxYsQCQSKfj4pz/9aVx77bW48sor\nsX79eixcuBDnnnvuoPeTzWZx7bXXAgA+8YlP4IYbbsh5vLm5GX/6058wd+5cZLNZ/OAHP8Dvf//7\nso8xqnIuDw02CFS+oFFHduBtaBiCl4uk7XdqhgSiOlR2oFsaEPYeFxs2QLz3vrr7o82wPuoBAGQ+\nMr1S4Y6eZrSn1ARycyYSKBVWPx89hgg0E/FLhlOmjaTTJTgts0g55TYZLZ2TJWg4t93GIpY0YdlO\nl2Fp+CXDthHIHuybJZibMTiULEHvrlHIFmSWIBER0eAMt6wYgN+UJNCGN5g56JZRSuheU5K+2YOa\n5jQokbnZgwCgaWbB7MGQiMIQar4TRg3SmppXpaSfPRi3oqhxsgdjTqlxTNO9LMK6sIY6p/S3IRxG\no9PZuDEVQUtSZSNO6G1AS1TNp5pqMmiZpDIWIw1qbqjrPRCpXiCjw9ZrIEN1XpDQeVl5WYQ55cYA\noNuqAzH8dfjUtrnrm3tZhTb890YX3nO9TsTF1ksPNjMJbqcX2F4T/lxYz83kyylNlu7PUECRuZws\nlj3osotksRZ4inD3nzdGP08aruB5lVJ1hAYQjaqf2aimfsqJaGwwPaeAfffdt2hQ0HXqqad6t//z\nn/8MaT//+te/sHHjRgDAZZddVvCDaNttt8UJJ5wAAFi4cGHe+oHlGINoZLkNRBKA3Qsgg2D3XSIi\nIiIax2wLSPRCbtoAuXY1ZMdmIJ0Ee5wSea1jquIPVS9mDA5RLOanvKdSqSGN8dhjj3m3jzjiiKLb\nHXHEEbj33nsRj8fx/PPP45BDDinrGONF8CrahgQDU2VhWf66gRL+JU/LBGCqMuGaiHM11Qm2Z1W6\npti8OSc7EACsdb0w1qor24m2ELq7VRl/R7IG7Rl1lbszG0KXoS4JdxkCvU5DET9L0EbKcrMELSRt\nNV4KWWSCWYLOlfKsTMJ0Go6YMg3Tyw4MLOY9yCzB/OYi/s9bcFt1RylZggOsr8lMQSIiojFRNHOw\n6HqDrkBTkpyuFblPd4dw/1vCzsketG0/GzGYPehua0PNg/pmD2pOVqGppWFAfa/JoNdbezAso0hC\nzcOiUs3BomYEMS+LUEetsw53TcjPHqwP62hwGnk0hEJoDKvnNsUtNHc1qtsRNRdsqkmjZaKTRdgo\nodepcyS0BOyOOCAEbK0WiNVBxGogQgKW4Z5X5y9N+pmCoUAjkkADDmj+jEcIeNmEQgr//XGbmUAO\nnDqjFckeLNiAMPCzYUsvw1CtWVhgrUKt8M5FscXbBsok9I6htO0KTEvLT0pozoGHnAqisFZgvUci\nGjUMDA7Ryy+/7N2eOXPmkMZ48803AQATJ07E1KlTi263++675zwnGNQrxxijb+QTVftLpQeAD6y2\nET+GLYYVCKL27SIsAWQzzmMmUB+DKhMG1BQkAqRSEJvV+RbLPgDWdahhN8S9IGBys/pV1NMdQ2eq\nGQDQmYmi0ysT1tHtlArHTYFeZ1KYMIGE4TQUcRqLpC0LSWfim0HW6y6cQQqGExg0ZNILAFowcoKB\n3qS5QDAwWKbTfzAwN/DMYCAREdGWbcCGJEDpTUmAAo1JbGcIzR9S+EHAvkFCNa4fROwbJNSdwKAt\nTZjO/EgXYe/CaUhEkYYK6oWdUuOwjHqlxhErihpLPR4zQog5QcJaXUddWB18TUigzulo3BDSURcK\nO7dVwLExXoeW7iZ1O5JFU0xVNU1oTSDSqHKQQnUJIJMAsgJSq4El6yBqaiCckubgt1lpBYN60o/5\n6cIPuGoI3A4EFfuUHgMo3tTECpSKa4G5lVPfPKQAlzbAcwuVLAOBDsp9Ao2uggHF4seX88hIBgmd\n49KdkmJdqDaRALw5NRGNHgYGh+hnP/uZd9st0x2sDz/8EACw9dZb97vdjBkzvNsrV64s+xgD6ezs\nLPpYV1fXoMaiLYkEYAJ2CpCmCgz6l2bH8LiIiIiIaIsiJZBKQiaSqkilJgoRjUHUx4DaGNvc0hat\nWrr9VstxUj4GBofg17/+NZ588kkAwGmnnYZdd911SOP09KjGCo2Njf1uF3y8t7e37GMMZMKECYPa\nfqwNlC0IAKsz/wFwzMgfTDVxf5NL288M1LRAqbANCFsFAUMAINXjoSiAqGog0t0NABAdHRArPlTP\nW98Fa536mctusLzswO7uGnQ52YFdWXXFudsIodspE+4xNPQ6PUtUZqB720bKaSiStKychiIAkBFZ\nZDR1xTmLFDJQJSomMoHMQAOm9G/bzhiWNL2FvoeTJeiXEA+lsUif5xUyhGxBZgoSERGNrH4bkgAl\nNyUBCpcXu0MEn+eljPXJHgTgZBDmZw/a0vQalAiR9bIHLS0ETaisPlNkvPuzUt0XElGvUUluqXEM\nUdMpMbYiqHGblegaorraZ21IoMYpN65zG5iENNSF1PMaQjE0hesAAE3dTWiOqHlaQzSL1gkJtZ8G\nE3rUeblaBjAyEIluyG4AkSikHoOIxYBIDCLQWERm+5xb3S3bRaCUOHCfV+4beE6gBNm/o3BWoQy+\nx6VeK3fGLliiXGTbYBQmuG1wjJxjHqyRvM5vOuXwmpo/i8FWzhBRWTEwOEjPP/88Lr/8cgDAVltt\nhVtuuWXIY7lrE0aj0X63Cz7edz3DcoyxpSlayhHcRpr9Pr7FsqWz/h+KrmEC23Yek4AuAd0GYMJf\nUlYAzs+Q6O6GWLtO3f3hesjNcQCAtT6J7Cb1gZ5oj6CnV030OlMxdGXVBDAYBIw7k4NeUwUBASBp\nAklT7TNtSiQtv1Q47bx/KWSQDawbCACGyCArA8HAQHdht0y4bzDQvT8/CFghwcBhdoVjUJCIiKhC\nFF17MHdeVrC8GMgLErrDqAubeu42gSBiMEgohAYp/NJkWzglxjIMIdSFVl2EYDpRLzdYqIkwQiLq\nPB5GyCk1DmlRRKWzNiEi/pqERgQRUz23JhtCzAkSusHCmB4MFupewLA+FEZ9SI3RGLbR3NOgbkcM\nNDjrEzbXq7lofXMGoToJZDLQohkIw7lIXRODDZVVKPXcjELvdErv//zTq/uBw7wSZATeO0169+fF\n7zSRc6coNOXu+yQr/+dCagXmb5rwty2mWNrWcIKEI4wJn0Rji4HBQVi2bBlOOOEEZLNZ1NTU4N57\n78WkSZOGPF4sFkNPTw+yTjOGYjKZTM5zyj3GQDo6Ooo+1tXVhdmzZw9qPKpUUmUDSsOZMUnwVwQR\nERERVZ1sBsikIXu7IU0AkSgQi0FEa9RtRqKoSqjVNqvj57VajpPyjZtv/a+++mpOB9+guXPn4pRT\nTun3+atXr8YRRxyBzZs3IxwO47777sMBBxwwrGNqbGzEpk2bBiztjcfj3u2GhoayjzGQlpaWQW1f\nCYplSLlXXreO7TWahzPy3AYhtp174dPqkxmpaYDTpAMaVPc2aQIRJ0MQgLo06lxxzmYhepwrrx+t\nA9ZsUPe3O5mBmxIw25xGH+0aEt0qG7A30Ygup4twVyaCHtMpHzY09DrZgYlAdqBbJpyyJNJulqBl\nI207WYK2iYyzYHawVNhAxlsk280MNO0MLGdb084U7S4svSvoZk4WYN/Mv9KyBP3t1QO52X+Dbiyi\nBh94m/6ezixBIiKiMVFK9UrxsmJXbnlxTvagl4JmF+xt4i6LIqFDuNv2KUG2pJ8x6G5jw/RvixCE\n05kjmEVoOZUamghBF36JcUaouWEI0ZxmJWGouWFURhE11G03izAqdMQ0tY+YriHmZA/W6AJ14WC5\nsZpH1ukxNITUa2twsggbNploiKh5X13YQHOjqhqpbTIQqnXOS8QpPc5mIMwe2O1SlR6HYpDhGohI\nFG5qoHSW0FavWwa6HwfOs+43ORFCuD1Hcjsiu++dVqAk2VUsg69P0DIv43CoQc1Kqs51fnClFMH/\nJKIxMm4Cg8899xyuuuqqgo+deOKJ/QYGN2zYgMMOOwxr1qyBruv405/+hGOOGf76dNtuuy1WrFiB\nNWvW9Ltd8PG+HZDLMcboy+2YNprcCdYsbatR3/ewWVZuV2D3tlf6i9yZg64BEbX2C4wsAEvF+6Ka\num0HOudm0hDu+oAbNgYCgL2w29S6LsbmLLKb1Yd3qkdN6HrjMcQzav3KnmwE3YZzv6Gj11QTvV5T\n+AFAE0g5t1OWRNJZKzBtqb+zto20U+KbgQHDKW3JaBkYcNcQTMJySn/7rhsIAKbM+CXDtukFA6W0\ncsqEiwUDvRLiYQQD+w/KjVzJ8MD7JiIiotEw4HqDQJGyYldueXHOeP2uPxh4SBQOEkrprzcIaJCB\nyJUfGDS9bTTN6WAMIzdI6NxvioxXbqyLUM6ahBrU7bAWQ9gpMXaDhWEZ8dYmjJphRLJukFD3yo5r\nQxqizpp/tSGBGl2N5wYLa/UI6pzOtrW6jYZuNS+tW+8HDOsjWTQ1qAvJtU0G9BoARgZaOAMBNf9F\nJKr+6GEgHAHCEYiw8KZtwXisbSBwPT0QvA12RPa6HfdZ/y8niFisY3VgvUP3vwYbXCxkjLMkvRi1\nDciMeo3OtB+mFLBz5sjuCw58XyGiETNuAoN77rknvvnNbxZ8bOeddy76vM2bN+Pwww/HihUroGka\nfvvb3+LUU08tyzHtvPPOeOKJJ7Bp0yZs2rQJkydPLrjdm2++WfRYyzEGbUkk1AeoHZhFWIB0S81D\nYMdgIiIiIqKArMoozLn+Gw0BIRUkhB4BohEgNG6+PhPRODJufrPtt99+2G+//Qb1nO7ubhx55JF4\n6623IITA7bffjs997nNlO6bDDz8cN910EwDgiSeewJlnnllwu8WLFwMAampqsP/++5d9jC3D4HLj\np9WN8Y9+sANw8PJZMAvQK/l1ru7poZyrwoiGAdhqLM1tkNHnUrHt1Oi6GYXd3RBxVXYuNm0GPtqk\n7u9MwN7sZAa2G8g6y0qmuiJIJNSV3HimAT1O45Bep9tc3NSRcDID45ZAwnQyCi2BhFMSnDSBjOXe\ntr3swLRlIetcxQ6WCRuaCmIayMJwylUMmYYJJzPQNoqWCgPqKrgVuC/YRKRYd2GXRDB7kFmCRERE\nNDxDKyt25WdQ5ZUXF8kedIf1HgpkDwK6VxkhoAWyBwP7kX6JsbQD23oZhQaE7WYUhr0OxqbQcpqV\nBDsbe1mFThZhSIsGsgijiEqnBNkMI+qUG8eyIUQD5cZe4xKn7DimC8R0twRZQ0x3yo5DEdTqgUzC\nLvXag5mEdWEDDXVqKZraBjX/DMVslVEIAIapluXJJCFCgEi5TUXCkCGVWahFIrARATQtp6mJHVz+\n3WkiIrQijUiC2xT6McjJFgyULgeel6NoZmBuJiKA8pQXl5hzEDxSaagdm061kSmF101ZMIkhT7F+\nMpWmSg6TChg3gcHBisfjOOaYY7B06VIAwE033YQvfOELZd3HEUccgQkTJqCjowO33nprwaDe+vXr\nsXDhQgDApz/9adTW1pZ9jOoz/E+wlshQdy1zU/YL/ZaWgeBe8GE9UO7rjaEHNwD0wH87a6iodQJt\nICLV3/CDWgDUh7HTXEYk4kB3j7q9YROwuUtt063WW5HdaVidalur00K2Sx1HOh5GIqEmZvFMoxcA\njBshryQ4aWlIOOsDJi03AAgknWBgxpJIOoecNm1knABgxraRdtZAzEqrYBAwA1XeYYhMTpmw7QQ2\nLRg5wb5gqbBbduBuK2F7HYeDgb5i3YX9x9Se8u8DigUDvbsGu4Ygg4FERETjxqDKil15wZ38pXj6\nDRKqOwsOL3LutyDhriWoefMfAS1Q6eyXHbu3hfADirY0YQU6GLvlxho0rwxZE2Fvez0ncOgECRFF\nSHOChDKKMNzbEUQt57YVQtQJNEadWt2IpiGiu0HC4O3CAcO+pce1Xer11oXU3LE2ZKLGuR0LWaiv\ndQKH9VmEa9VFeD2agYg4F6zhBPs0XV20D0cBLQIpw0AoDKELaOHC70PO9NIpqbX7TPOdExkg/fcv\n8D7mBBwLBQtROF5YjrX9hlKhbKmpPwxDvY+GLTi3JRpDDMcXkE6nceKJJ+L5558HAPz4xz/GZZdd\nNuhx7rjjDtx44434xS9+UfDxWCzmrXv4zDPP4IYbbsh5PJlM4txzz0U6nYamafjud787ImPQWHED\nfRYAA0AWQAZACkASkHFA9jp/J53HnSAhERERERFVBtsCMmkg3g3Z0Qa5YR3kR6sg162G3LgWsn0j\nZOdmyO5OyEQvkEoC2Wzu+uFERGOEGYMFfOlLX8K//vUvAMAOO+wA0zRx4403Ft1+5syZOOOMM/Lu\n/+lPf4ply5ahqakJX/3qVws+96tf/Soef/xxPPbYY7j66quxaNEiHHzwwUgkErjvvvuwevVqAMBP\nfvKTomsDlmOMUZNTKjEKH4RFLoNFdell2UHTVJluULGFfPve7/63FVgYV9cBSCcZUCI3AOjeLnJF\nLGdykLuN6GgHEqrcV7R3Ahs3qwd6U5A96mqm7E7D7nYy7rptGD3q+LIpdTUunQojkVJd3BJGGAmn\nJDhhhhAvkhmYcrMALYGU1zFY3Ze1JdKm3zgkY7u3LWQCZcJuExFDyxbNDlQv3y8TtqTpZwYGSoIt\naXq3+5YKq7M2cJZgbjagVTw70MUsQSIiIhqmksqKvY1LLy92x3bldDD278wZOii3m7HujGfnNCtR\nQ2jwS439/RfrbCyEllNurDnbm4HsQs3JANRFoNRYhBFyMgZ1LeyVG4cQRUS6jUucpiZmGGHTzyIM\nDyKTMKbriDnZdTE94vwtA/f5GYW1IQsxXc1ta0ImYk5WYU3YQF2dypCM1qn79IgNPeqcXNuGnbQB\nZ37rZfYFlv0WmnAqikLq/OshQNMhwiEIXYcUOiRCgBD5SaF+MueA3EpyGfgqIi0U/VpSdu7PoATM\njDrgdFa9j4Yt2GakCCmrqJS4So6T8jEwWMAHH3zg3V62bFnRbsauww47rGBgsBShUAgLFy7EFVdc\ngQULFuCZZ57BM8884z3e1NSEn/70p7jgggtGdIxyME3DWxuir5xJ0Ng2xAIAJNI2EHI+Qd1Anvep\nOIi/TVP9bVn+7ZDujxtcoNh0agQyGYiMCuQhnYFwgn3o6gE6e9wDBDJOaWxSTTZkbwZ2rxMo67Vg\nOE3UjKSGTEp9qKbTYSSzqlQ8ZYSQdCZK7t9pW0PSCfqlbc0rCU4XCQBmbH99wIzllwcbtvu4BcOZ\noGalgSzUazSEEVgrMOOtFWhJo2gQECheJqzWB/TXECweBASCnYXdbfzHSygV9jYY22Agg4BERERb\nnpLKir2Ni3WtdfUfJMzZR4lrEbpjqrJif01CNa6ds/5bbmdj/ziKlRt793sBxax3ny5CXmBQBNYp\n1EUIIRFzjsLfJuzeJ0Ne2XFIhgYVMIxoGqLOtD3iXOyP6AIRZ23uqK4j4gUJ4d/WJGp0P3gYa7ed\n25b3d8xZEiis2Yg490dCJmpq1Hw2HLEQiqrnaWEbmm4BsFTZcWD5cUC9P9KG+hkQIUAXgCaghYVa\nqkhT/y10Zw1EXQBQ96mFDd21EQWEEBAQqhO1QM4SR0VLgodTY1hkqqw7SRVhqO8LwrJgO8kGhmnC\nMNx5f3640LLMYRwQERXCwGABZ511Fvbdd9+St99+++0L3n/RRRdh06ZNqKmpKfi4q7a2Frfddhu+\n+93v4tFHH8WaNWsQjUYxd+5cHH300QM+v1xjDNfbb7+NYlG/3MDg2EcG27KbAOkE5Ib1z8D9sCq0\nIAgREREREVEZSAlYhv+VwwYQzBgsIXtQOs/zgo7BGFvRxihDOlqlyNcj6a4xuKYeAND5kYmVq1Xy\nwFvZ9xBPrVTbyUJBQF48Jyo3BgYLuOiii8oyzte//vVBbT916lTMnz9/WPssxxgjYVBXRwc0tE+n\n4L5XxQGknE8k24Zwrzy5nYDtQIdgy/TztwP3Cy9LEEAmC6Sd0uRe1egDibRfYpw1IdPOtikDMuVk\nxaVtyLRTFpuS3kK8ZlrzUuyNrO7sIoR0JuYM4WcDpi0dacsvA05bbkagQMb2MwIBIGsHb0tkvSxB\n9d+Aygx0b2ctGxlbbWTARtbJ2nMzAy1hwXAWmDZE1u8WLAyY0skShFFSExEAsAPZfn3LhIOZf4Wy\n/YJZhK6SswRLyg4s8LxihpgpyCxBIiKi8WFQZcWAP7coeoE9GCXy9xFUsMRYPVB0d/7Y+VmEwc7G\n/lDFy429bQKZg+5tK5AlKISW0+XYEGqC3LfLsdpWh+58pQ1pMa/jcSmZhGGhe01MQk7WXFjTEHbO\ncUgTCDuHHdEFopp/v5thGNUlIs42UefvmC4REtK5TyLsZBqGNYmIZjv7lgi7tzXbux3RbehC3dad\n5+ma7ZUuRyImQiHn8ZANTXe7GUs4fV4ghMzvfqz5TUtyG5Xkbla0a3KJCkyp89nquw4AZJ2ljEwp\nYAW+A1CuavmGUC3HSfkYGKTRN2DXtYEULpsYcLeBCdhHiSzE3Y+o+00b0omQSadsFqYNabrBQEDa\n/m1vTQ5belfZpOmv22E58UHb0GAZan+WqXkBPsvSkDVUgC9r6TCdoF7W0mA467BkLB1Z97bzd9bW\nkHFLf20N2UDQL+OckqwNb5usLZF17jfcxy3plQFnbRumc9uwZU4A0JDubdNfH1BkvSBgMADorhNo\nw4DlBgztQNAPdklrBQIDlQnndxEu3FlYHWHh+ysvGDjwvomIiGhLNKQL5/2WF/fbzrbwOoRA4WhO\nCcFCfw3CPmsTFig3Vksman3GyS07tp15pBDagF2OhbM/TYQgnOCeLkJeYFATYT9IqIWLBgx16QQJ\nTbc7soYw3HUPNYSd4wgLDbpwg4fCCyRGdf922DlnwcfDgeCiLqS3ja752+tCetuEhEQocL//uB9c\ndO8PCem9TZqQ3tLnArm3ASCkSe+2JvwgoVZk/qmJ/uelthz4Z9bu5+c66yQyrEup70TLewXatHYA\ngGVnwUosotHFrsRERERERERERETjEDMGaewVy7QqKZOw0NWkgePdG2QX1jzq7N7WYdnqn4LlZOdZ\nUkA6V8LsnNvwbrvbudu4ty3plADbGgxbeNu52YBGYFvDFt42hkTgfrWdextQ2YDutllbBrIA1XPV\nbQnDKXU2bT870HLOsSFtGF7Gng3DuTKbhQlLOFmCIgtTqPtNZGAKt0GIAdttFhLIDJROdp7KALSc\n82F695faRKTvfcWaiLjb+XIXJe63qQizBImIiKjCDLqs2Htisc7FruJVNoXmIIPNIhy43BiQTmaf\nenruMYhA0xKVOVh6l2M3S7Bv2XEpmYRud2RVmuxkCjqlxjrCfmlyIKNQt3WEnLF1+M1MQhD+bbfU\nWPgZg7oQXqZhSHP6gnj3O7c1/7YWvF+4YwSzB+FlFHp9RuD1D1G3gbyMQCECSxCOQE/IUma0wc66\n7vec9oz6e03cQDc2AAAsK832tgES1dOVuFqOk/IxY5CIiIiIiIiIiGgcYsYgjapBXREdciZhsUwv\nzbs6ukF8gH+u2sc5Jv/qhrvEoA3h7T4n/yxwSLLP/d5zA2P5WYR+1p4lAcv2x3Zv993G7JPtZ0np\n3WcGbhvSggn/tuVk0JmwvCxAN8PPFCYsJxvQFpZ3WzUF8RuE2IHb0nYzDA0va69Q1p+dsyagVTAL\nsNi6gYUyA0tbM9A9i30MKjOwyBiFlOHqJbMEiYiIqK+ijUIGfGJ/aw4GFZ8fFzuGvkSxOVigY0V/\n87Tc7EB3Lq27O/cblEg/u1D06ZQRzB4E1HZmMKMQfkahu40WeJ5as9B/rh5oeKLu03PuC2YXam4G\nIsJ+JiH8DMSQ5d4Xgi51b98h+PvzbgsBzXmPNaj1DJ1X6GUK+ll/AroW3NZ/PDf7z9kmmD1YJDtQ\nG2aqYH+ZYaXMdN0Kp15DzfFXW+3otTY6Y2eGd3BENGgMDBIRERERERERVaDqSSyoluOkvhgYpOpT\nStZWwSum/hXLruxq/GvDJ5zhJPymw/7YhXZjF/llJ2X+Y5a0vT3akJDOgLbKm1PPU3l2gfud7Dxh\n+evyuVl6woYJP8PPvd/U/Nsqq8/PEvTW/IOfyWc5rZTzsvqc50lpB7axvTHys/3y1/0rtr7fSHUR\nDhr4A3Pk1wzMG44fjkRERDQEQ8og7G8eUzSbsPTur7LYKlQyd73n3GMtUMXhHqbQAGduq+7PHz83\nY1AveH+p2YXutqJAhqE/buFMQxFYv7BvZqKGvlmMOjQRyFxEYDx3jMB+tZxtdGjueXAzLKFBs/3n\naYHxvDFk/vnoSyv2/g2CXcLPiyxhG3c987RIAAC65VokspvU8+0s59BEo4xrDBIREREREREREY1D\nDAwSERERERERERGNQywlJiIiIiIiIiKqQP01e6kkpS9MQJWGgUEadQN2PCu1C1u/O+l/H+lsO16N\nvpP/tAK/zuw+66YMuGuvQxu8dfsAtUZg333IwNjBNTtkgTX37GLr/cHKW/vPHS/YJbjv8eV0ApZ2\n0fsHt1agK/ecFd5m4G7CxX9WhvixU8Y1BLn2CREREY2WQvOOQc2ZS50DDamzcZ9dDbiFu4Ze3zm2\n/9/ua8s57Jzux33GcjcZxJqE+dv3P16wm3Hwvr5jqHUMC++70Dp/hfahxhn4+P3H9bz7+ipljcFS\n1hDsS5b4XanQ9wdbGgCAtNENw4w72w3uuxcRDR9LiYmIiIiIiIiIiMYhZgwSEREREREREVUYiVKy\ncMcXKSXa29uRTqfR2tqKmpqaIY+zefNm2LaNyZMnQ/SbMb1lY2CQKs5QSjQHW35sWglszr6n9lew\nzLVwKn0pKfjFnl9sP8XS7wuVNeeX+RYv683dX/+lv8VLgwcqCe6n3KDI6/X3OYwy4TKWBBfdBT+C\niYiIqIL1nauMxnI8w+J96R54rlfwKAoeW2758cClx0Chorn8kmJXfonuwGW9/ZcnD7zP/h8vtM9S\nxhusYt9d+n1OqeXmfZZBsuw0pJ1yHxz0fmnLtmnTJixatAhPPvkknnnmGaxevRqGocrQhRDYaaed\ncNZZZ+HLX/4yGhoaBhxv5cqVuOaaa7Bw4ULE46qEvba2FieccAK+973vYYcddhjR11OJWEpMRERE\nREREREQV5/e//z3mz5+Pu+66C++//z4Mw0BraytmzJgBIQTeeustfOtb38Juu+2Gd999t9+xlixZ\ngt122w1/+MMfEI/HMWHCBEycOBHJZBL33HMP9thjDyxatGiUXlnlYGCQiIiIiIiIiKjSSNWVuFr+\njKSPf/zj+M1vfoMNGzZg8+bNWLNmDTZv3oxvfetb0DQNH374IY4++mgkEomCz1+7di1OOeUUxONx\nbLPNNnjqqafQ3t6OtrY2PP/885gzZw5SqRQ++9nP4v333x/ZF1NhGBgkIiIiIiIiIqKKM3PmTNx/\n//145ZVXcP7552PKlCneYy0tLbjuuuvw/e9/HwCwatUq/N///V/Bcb73ve+hq6sL4XAYDz30EA46\n6CDvsX333ReLFi1CLBZDPB7Ht7/97ZF9URWGawzSFqGU9eCC665IaSCRaRvgGcE1MsoZQx/8eh1A\nP2sUDrB+oJK/jmHxbfvc38/6IoNfh2+Qr30E1xjhGoJERES0JelvblOW9QeHa9jzusB8tkCTgLzR\ni+5PjZP73aDIpgXW7Rv6eoV95a9fWIpyryU4FENZf9Dnv4/eONKEdO7nHJ36OvXUUwfc5mtf+xp+\n8IMfwDAMLF68GF/5yldyHk8kEvjjH/8IADj55JOx22675Y0xd+5cnHnmmfjtb3+Le++9F7feeita\nWlrK8yIq3Nj/ViEiIiIiIiIiohwSKhhdDX/GMqZbV1eH1tZWAKpZSV+LFy9GKqUa3Jx00klFx3Ef\nM01zXK01yMAgERERERERERFVpXg8jrY2VRHoBgiDli5d6t3ee++9i46zzz77eLdfe+218h1ghWNg\nkIiIiIiIiIiIqtIf//hHWJYqR//Upz6V9/h7770HANA0Ddtss03RcaZMmYKamhoAwLJly0bgSCsT\n1xikcSO4XoWADcvO71Y00HoZlbCmBzDQcQ6w5kcJa4IMvLbHcNYVCe5o+PnmXIeEiIiIqH+lzpcq\nYi3CUpQ0h3TWsiuwHiFQStWjBsj8dbr77qPvOev30HK+S5gDHkEhg5s+B/dXpvl7fwa59qD/c2mP\n6Nri1W4U3rmycI/Tsix0dnb2u2051+7bvHkzvvOd7wAAGhsbccEFF+Rt09HR4T0eDof7HW/ChAlY\nu3btgK9hS8LAIBERERERERERDdt7772HCRMm9LuNLFMg2DRNnH766V4Z8Y9//GNMnDgxb7tEQiUF\nxWKxAcd0Mwbj8XhZjrEaVEb6ExERERERERERUYkuvfRSLFmyBABw1lln4aKLLiq4naap0JdtD5x/\n6ZYk6/rQOodXI2YM0vgkJaSdLf5wseICWSXlFY6hldkOMll9DNL+WT5MREREVH7VPscqWAo95Lmq\nVbQMOWf4gvcWyb8ZsDS53EZ7f0MsepWy6n/2yDd37ly88MILI76fq6++GgsWLAAAHHXUUfjtb39b\ndNuGhgYA8DoT98fdxn3OeMDAIBERERERERFRhZEA7CqJmbqHqet6WdcQLOTGG2/EDTfcAAA46KCD\ncP/99yMSiRTdfsqUKQCA3t5eJBIJ1NXVFdzONE2vLNl9znjAUmIiIiIiIiIiIqp4v/rVr3DVVVcB\nAPbee2888sgjqK2t7fc58+bN824vX7686HYffvihV0ocfM6WjoFBIiIiIiIiIiKqaHfeeScuv/xy\nAMDuu++ORx99tKSS3/3228+7/eyzzxbd7plnnvFu77vvvsM40urCUmIal9QaFoNfc6M8WdyjGY8v\nY3P7MVhLMGf3XHeEiIiIiPpRbL5YcO3BkgYc4vxTlHEOXg2G+T2B8/z+jfHXsJKN9HHec889+MIX\nvgApJXbeeWcsXry45JLl/fbbD1tttRU2bNiAu+++G5deemnB7e6++24AQHNzMw499NCyHXulY8Yg\nERERERERERFVpL///e/43Oc+B9u2MXfuXCxevBgTJ04s+fmapuFrX/saAOCFF17wAoBBCxcuxBNP\nPAEAuPzyyxEOh8tz8FWAGYNERERERERERFRxlixZgtNPPx2maWLChAlYsGAB4vE4VqxYUXD7UCiE\nmTNn5t1/+eWX45577sHSpUsxf/58vPPOOzj55JMhhMDDDz+M66+/HoBaW/DKK68cyZdUcRgYJCIi\nIiIiIiKqQNVSmD5SlcT33XcfMpkMAKCjowMHH3xwv9tPmTIFGzZsyLs/Fovh4Ycfxsknn4yXXnoJ\n119/vRcMdH3sYx/DAw88gPr6+rIdfzVgYJDGrzFbrCGwtqEY4non5VZBC1dwjREiIiIiKqfhzi8H\nvUZhBc2tKxHn+zQYkyZNwpw5cwa1fTHTpk3Dc889h3vuuQcLFy7EBx98ACklZs6ciRNPPBFnn332\nuCohdjEwSEREREREREREFeeaa67BNddcU7bxdF3H2WefjbPPPrtsY1Y7BgaJiIiIiIiIiCqMlNWT\ngFotx0n52JWYiIiIiIiIiIhoHGLGII175VjjYtDrjng73/Ivq3ANESIiIiKqZoOdzw75u0GV4nyf\nqLoxMEhEREREREREVIHGe1diGnksJSYiIiIiIiIiIhqHmDFI41Y5U97HtBx5jLF0gIiIiIjIx/kx\nEVUTZgwSERERERERERGNQ8wYJCIiIiIiIiKqMBISskoaVlbLcVI+ZgwSERERERERERGNQ8wYJKoQ\ng1mLZKTXI+S6KERERERERERbPgYGiYiIiIiIiIgqkF0lORv2WB8ADRlLiYmIiIiIiIiIiMYhBgaJ\niIiIiIiIiIjGIZYSE1UhrgFIRERERES05eM3PxppzBgkIiIiIiIiIiIahxgYJCIiIiIiIiIiGodY\nSkxEREREREREVGEkqqgrcZUcJ+VjxiAREREREREREdE4xMAgERERERERERHROMRSYiIiIiIiIiKi\nCiNl9ZToyio5TsrHjEEiIiIiIiIiIqJxiIFBIiIiIiIiIiKicYiBQSIiIiIiIiIionGIawwSERER\nEREREVUgiepYvK86jpIKYcYgERERERERERHROMTAIBERERERERER0TjEUmIiIiIiIiIiogpkV0mN\nbpUcJhXAjEEiIiIiIiIiIqJxiIFBIiIiIiIiIiKicYilxEREREREREREFUYCkFVSo1stx0n5mDFI\nREREREREREQ0DjEwSERERERERERENA6xlJiIiIiIiIiIqALZVdLvV1bJcVI+ZgwSERERERERERGN\nQwwMEhERERERERERjUMsJSYiIiIiIiIiqjBSVk+332o5TsrHjEEiIiIiIiIiIqJxiIFBIiIiIiIi\nIiKicYiBQSIiIiIiIiIionGIawwSEREREREREVUge6wPoERcYrB6MWOQiIiIiIiIiIhoHGJgkIiI\niIiIiIiIaBxiKTERERERERERUQWSsjqKdCWLiasWMwaJiIiIiIiIiIjGIQYGiYiIiIiIiIiIxiGW\nEhMRERERERERVRgJwK6SCt1qOU7Kx4xBIiIiIiIiIiKicYiBQSIiIiIiIiIionGIpcRERERERERE\nRBVGQsKukm6/1XGUVAgDg4O0cOFC3HXXXd5/L1iwAJMnTx72uFJKPP3003jkkUfw0UcfIRqNYvvt\nt8dpp52G7bbbbtTGICIiIiIiIiKi8YGBwUHYuHEjvvCFL6C9vd277xe/+MWwx12/fj3OOecc/Otf\n/8p77Nvf/jauuOIK3HDDDdB1fUTHICIiIiIiIiKi8YOBwUG49NJL0d7ejpqaGqRSqbKM2dvbi6OO\nOgr//e9/oes65s+fj0996lNIJBL44x//iKeffho//vGPkUqlcPPNN4/YGERERERERERUWWSV1OhW\ny3FSPjYfKdHf/vY33HfffZgxYwbOP//8so177bXX4r///S8A4M9//jPuuOMOnHPOObj44ovx73//\nG+eddx4A4Fe/+hWefvrpERuDiIiIiIiIiIjGFwYGS9De3o7LLrsMAHDLLbegvr6+LOP29PR4GXwn\nnXQSTjvttJzHhRD41a9+hebmZgDAddddNyJjEBERERERERHR+MPAYAm+/OUvY9OmTfjMZz6DE044\noWzjPvzww0in0wCACy64oOA29fX1OP300wEA//rXv9DR0VH2MYiIiIiIiIiIaPxhYHAAf//73/Hn\nP/8ZjY2NuOmmm8o69lNPPQVAZfUddNBBRbc7+OCDAQCmaeK5554r+xhEREREREREVHlsyKr4I8FF\nBqsVA4P96OrqwiWXXAIAuPHGGzFt2rSyjv/WW28BAKZNm4ampqai2+2www7e7bfffrvsYxARERER\nERER0fjDrsT9+OpXv4r169djv/32w8UXX1z28detWwcAmD59er/bzZgxw7u9du3aso8xkM7OzqKP\ndXV1DWosIiIiIiIiIiKqDAwMFvHoo4/irrvuQjgcxoIFC6Bp5U+u7O3tBQDU1dX1u13w8Xg8XvYx\nBjJhwoRBbU9EREREREREwyOl+lMNquU4KR9LiQvo6enBRRddBAC48sorscsuu4zIfrLZLAAgFOo/\nPhsOh73bmUym7GMQEREREREREdH4w4zBAr7xjW9gzZo12G677fCd73xnxPZTW1uL7u7uAQN1qVTK\nu903M7AcYwykvy7GXV1dmD179qDGIyIiIiIiIiKisTduAoOLFi3CggULCj62zz774KqrrgIAPP30\n07jjjjsAALfffjtisdiIHVNTUxPWr18/4Dp9wcf7NhgpxxgDaWlpGdT2RERERERERDR8dpV0+2VX\n4uo1bgKDH3zwAR588MEBt3v99dcBAPX19bj55ptx8803520T7Op70UUXoba2Fo2Njfj9738/qGPa\nbrvt8O6772LVqlX9brd69eqc55R7DCIiIiIiIiIiGn/GTWDwuOOOy+nMGzR16tS8++LxeEmBxMcf\nfxwA0NraOuhj2m233fDwww+ju7sbH3zwQdGS3FdeecW7veuuu5Z9DCIiIiIiIiIiGn/GTWBw1qxZ\nmDVr1oDb9RdAdP3hD3/A/fffDwD49a9/jcmTJyMajQ76mI455hhcf/31AFSp82WXXVZwu0WLFgEA\nJk6ciL333rvsYxARERERERFRZZGQsKuk3W+1lDxTvnETGCxVKQHEF154wbt95JFHYubMmUPa1/77\n74/tttsOK1aswE033YQLL7wwb03DpUuXYvHixQCAs88+G7qul30MIiIiIiIiIiIaf7SxPoAt2WWX\nXYaTTjoJZ599dsHHNU3DDTfcAABYvnw5zjvvPCQSCe/xZcuW4fTTT4eUEk1NTbj66qtHZAwiIiIi\nIiIiIhp/GBgcQYsXL8aDDz6IRx55pOg2p556Kq644goAwF//+lfMmDEDRxxxBPbff3/svPPOWLFi\nBcLhMP76179i8uTJIzYGERERERERERGNLwwMVoCf/OQn+N3vfodZs2ahq6sLixcvxvPPPw/btnHQ\nQQfhxRdfxJFHHjniYxARERERERFR5ZBV8j+qXlxjcAjOPfdc7LvvvgDQbwbeLbfcgt7eXoTD4QHH\nPO+883DeeefhnXfewZo1axCNRrH99ttj2rRpJR9XOcYgIiIiIiIiIqLxgYHBIdhpp52w0047Dbjd\nYYcdNuix582bh3nz5g3lsMo6BhERERERERERbdkYGCQiIiIiIiIiqjASgD3WB1GiajlOysc1BomI\niIiIiIiIiMYhBgaJiIiIiIiIiIjGIZYSExERERERERFVILtKOv6yM3H1YmCQhsW2gysJ8BcBERER\nERERjRT/O2fud1EiGioGBmlYenp6Av/FX8xEREREREQ08np6etDa2jrWh0FU9RgYJCIiIiIiIiKq\nQFJWR2VetRwn5WNgkIZl6623xgcffAAAaGxshKZVfj+brq4uzJ49GwDwwQcfoLm5eWwPiHLw/al8\nfI8qH9+jysf3qPLxPapsfH8qH9+jyleN75Ft217V2tZbbz3GR0O0ZWBgkIYlFAph1qxZY30YQ9bc\n3IyWlpaxPgwqgu9P5eN7VPn4HlU+vkeVj+9RZeP7U/n4HlW+anqPWD5MVF4MDBIRERERERERVRgJ\nWUVdialaVX7dJxEREREREREREZUdA4NERERERERERETjEAODRERERERERERE4xDXGCQiIiIiIiIi\nqjASqJo1BqvlOCkfMwaJiIiIiIiIiIjGIWYM0rjT0tICKXk1o1Lx/al8fI8qH9+jysf3qPLxPaps\nfH8qH9+jysf3iIgABgaJiIiIiIiIiCqQhIQ91gdRIgaZqxVLiYmIiIiIiIiIiMYhBgaJiIiIiIiI\niIjGIZYSExERERERERFVoGrp9lstx0n5mDFIREREREREREQ0DjEwSERERERERERENA6xlJiIiIiI\niIiIqMJIVE+JrqyS46R8zBgkIiIiIiIiIiIahxgYJCIiIiIiIiIiGodYSkxVIZ1O46GHHsLzzz+P\ndevWIZvNoqWlBbvssgtOOOEEzJkzp2z7+uCDD/DXv/4V7777LhKJBKZPn46jjz4aRxxxBHRdH7Ux\nqtXy5cvx4IMPYtmyZejs7MTUqVOx44474uSTT8a0adPKso9XXnkF999/P1auXAkAmDlzJk4++WR8\n4hOfGNUxqt3dd9+Ne+65x/vvP/3pT2hsbBz2uLZtY/HixfjHP/6BtWvXoqamBjvssAM++9nPlvxv\ntRxjVJOenh48/fTTWLp0KdavX4+NGzciGo1i5syZOOSQQ3DYYYdBCFG2/SWTSTz44IN4+umnsWnT\nJjQ3N2OPPfbA6aefjkmTJo3aGJWura0Nf/3rX7F06VJ0dXVh8uTJ+OQnP4kTTzwRNTU1FbWf0TrW\nSvHee+/hqaeewvvvv4/169ejp6cHEyZMwO67744TTjgB2267bVn3t2LFCvz1r3/FsmXLkEqlMGPG\nDBxzzDE47LDDoGmlXWcvxxjV7umnn8aPfvQj779vuOEG7LrrrmUZ+8UXX8QDDzyADz/8EEIIzJ49\nG6eccgo+/vGPj+oY1UhKiRdffBGLFi3CqlWrkE6nsc022+BjH/sYTjjhBDQ0NAx7H5Zl4bHHHsM/\n//lPrF27FnV1dZg3bx5OP/10zJo1a9TGqEYvvfQS/vnPf+K9995DPB5HbW0tZs+ejYMPPhiHHHJI\n2X5/JBIJLFy4EM8++yza2trQ0tKCPffcE6eddhpaW1tHbQzKJSFhwx7rwygJS4mrmCSqcAsXLpRT\npkyRUEss5P0RQsjzzz9fplKpYe3Htm35ne98R+q6XnA/n/jEJ+T7778/4mNUq40bN8qzzjqr6Puk\naZr8zne+M6x99PT0yDPOOKPoPk477TTZ3d094mNsCT788ENZX1+f89rb2tqGPe7KlSvlvvvuW/Dc\n6rour7rqKmnb9oiPUU2OPfbYor8z3D877bSTfPnll8uyv6efflpuu+22BffT0NAg77rrrlEZo9Ld\neeedef9G3D8zZ86Uzz33XMXsZ7SOtRI8//zzcurUqf3+e9F1XV5yySUykUgMe3+WZclvfvObUtO0\ngvvaf//95YcffjjiY2wJEomEnDNnTs5rX7JkybDH7erqkqecckrRn4ezzjpLxuPxER+jWr322mty\nn332Kfraa2pq5N///vdh7WP58uVyzz33LDh+KBSS11xzzaiMUW1Wr14tP/WpT/X7+27XXXeVr7/+\n+rD3tWTJEjljxoyC+2hqapJ//vOfR2UM8t1yyy3q3IW2kfs1XV4Vf3as/bQEIOfNmzfWp48GSUgp\nJYgq1D//+U8ce+yxsG0bkUgE5513HvbZZx/U19fj/fffxx133IEPP/wQAHDSSSdh4cKFQ97XVVdd\nhRtvvBEAsP/+++Pzn/88Ghsb8eyzz2LBggXIZDKYPXs2XnjhhaLZMOUYoxqtXbsWhxxyCJYvXw5N\n03DiiSfiyCOPxJQpU9Db24ulS5fivvvuw6GHHorf/e53Q9qHZVk47rjj8M9//hMAcOqpp+KEE06A\nEAJ///vf8be//Q0AcMQRR2DRokUIhfITossxxpbiyCOPxOOPP47a2lokk0kAKuNo4sSJQx6zvb0d\n++67L1asWIFIJIKLLroIBx54IHp6enDXXXfh2WefBQB84xvfwI9//OMRG6PazJw5E6tWrUI0GsUx\nxxyDgw8+GDNmzEA8Hsfjjz+OP//5z7BtG3V1dViyZMmwslpff/11HHjggYjH42htbcVll12GXXbZ\nBWvWrMGtt96KFStWQAiBP/3pTzjjjDNGbIxKd/fdd+Nzn/scAGDu3Ln40pe+hGnTpuG///0vfvWr\nX6GzsxONjY145plnhpXtVI79jNaxVoqHH34Yn/70pwEAs2bNwqc//WnsscceaGxsxMqVK3HnnXfi\n7bffBgAcfvjhePTRR4eVqf+1r30Nv/jFLwAABx10EM4991zU19fj6aefxh133AHDMDB37ly88MI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3Xr1hV9bqmBQSml/Ne//uWVvwT/7LHHHv1+uSv3GFuKcgcGpZTy//7v/3IC927A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\nRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# Plot field\n",
        "sim_data.plot_field(\"field_mon\", \"E\", \"abs\", f=cross_freq)\n",
        "\n",
        "plt.show()"
      ],
      "id": "3486d0c5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Parametric Sweep <a name=\"4\"></a>\n",
        "\n",
        "Now, we will investigate how the sidewall angle changes the component\n",
        "performance. To do so, we will create a dictionary where each value is a\n",
        "simulation object with a different coupler sidewall."
      ],
      "id": "10875ff3-8a75-44f1-b9b6-868cba87341d"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [],
      "source": [
        "sims = {}\n",
        "sidewall_angles = [0, 5, 10, 15, 20, 25, 30]\n",
        "for s_angle in sidewall_angles:\n",
        "    arms_geo_sweep = td.GeometryGroup(\n",
        "        geometries=[\n",
        "            td.PolySlab(\n",
        "                vertices=p.to_polygon().vertices,\n",
        "                axis=2,\n",
        "                slab_bounds=(0, wg_height),\n",
        "                sidewall_angle=np.deg2rad(s_angle),\n",
        "                dilation=dilation,\n",
        "            )\n",
        "            for p in structures_dict[(1, 0)]\n",
        "        ]\n",
        "    )\n",
        "    arms_sweep = td.Structure(geometry=arms_geo_sweep, medium=medium_wg)\n",
        "    sims[str(s_angle)] = sim.updated_copy(structures=[substrate, arms_sweep])"
      ],
      "id": "62d84192"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next, we create a\n",
        "[Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html)\n",
        "object to run all simulations in parallel."
      ],
      "id": "bb42c8f7-fe34-4cc0-b5bf-7d226be48b25"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"3a99e9a848ec4ec5855bb08cd3906e10\",\"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\">03:51:15 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">7</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\">03:51:22 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.697</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\":\"4cfc5a70f12642aca1abd3e1425a22d6\",\"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\">03:51:26 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": [
        "batch = web.Batch(simulations=sims, folder_name=\"directional_coupler\")\n",
        "batch_data = batch.run()"
      ],
      "id": "65baa40c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we can easily track the crossing frequency and transmittance using\n",
        "our defined post-processing function."
      ],
      "id": "1fb078ba-7eb9-4b62-b314-a466bf146ed7"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "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\">03:55:31 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </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\">03:55:32 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "No sign change found, showing closest point only."
          ]
        },
        {
          "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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "No sign change found, showing closest point only."
          ]
        }
      ],
      "source": [
        "freqs = []\n",
        "transmittance = []\n",
        "for data in batch_data.values():\n",
        "    f, t = postprocess(data, plot=False)\n",
        "    freqs.append(f)\n",
        "    transmittance.append(t)"
      ],
      "id": "9bf5b3e8"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ef39/Y//+/UZERESBCWhJxrvvvpvn82GlRJWVX+tMTz/9tMMxtmnTJs96/vWvfzlcT0BA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\n7tA+derUyXObq94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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots()\n",
        "\n",
        "# Use scatter for color mapping\n",
        "sc = ax.scatter(sidewall_angles, td.C_0 / np.array(freqs), c=transmittance, cmap=\"viridis\")\n",
        "plt.colorbar(sc, ax=ax, label=\"Transmittance\")\n",
        "\n",
        "ax.set_xlabel(\"Sidewall Angle\")\n",
        "ax.set_ylabel(\"Wavelength (µm)\")\n",
        "ax.set_title(\"Wavelength vs Sidewall Angle (color=Transmittance)\")\n",
        "\n",
        "plt.show()"
      ],
      "id": "42b8af04"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Creating a Simulation With Two Ports <a name=\"5\"></a>\n",
        "\n",
        "We can use the `updated_copy` method to easily create another simulation\n",
        "with a second source with a $\\pi$/2 phase difference."
      ],
      "id": "b20b3b57-83a2-426c-9497-fdc0bceed2dc"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "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\">03:55:33 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'sources at 1 and 2'</span> with resource_id                 \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-1e7b0677-5a2d-4f2f-9147-5c26b8618149'</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-1e7b0677-5a2d-4f2f-9147-5c26b8618149\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e7b0677-5a2</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e7b0677-5a2d-4f2f-9147-5c26b8618149\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">d-4f2f-9147-5c26b8618149'</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\":\"205d09f9dbd648afb95531ed29c80c3d\",\"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\">03:55:35 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.244</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\">03:55:36 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\":\"72ebc5d5f4b141c8a70b32c78797c25f\",\"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\">03:56:20 UTC </span>Loading results from simulation_data.hdf5                          \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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "source_time2 = source_time.updated_copy(phase=np.pi / 2)\n",
        "source2 = source.updated_copy(\n",
        "    center=(source.center[0], -source.center[1], source.center[2]), source_time=source_time2\n",
        ")\n",
        "\n",
        "sim2 = sim.updated_copy(sources=[source, source2])\n",
        "\n",
        "sim_data2 = web.run(sim2, \"sources at 1 and 2\")"
      ],
      "id": "3a510981"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As we can see, in this configuration, all power is directed to the upper\n",
        "output at the crossing frequency."
      ],
      "id": "06aeb696-fa94-4a1a-ba40-96ab3f8526b4"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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Nnj1b++233zqPa/oIBgSf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lhZ8otcn7KI1JOG3FzH7T6kAzZFHZx7RK0L15dFWCWT+5mk2VVYfKPYcalaCaPi/nGOqQKkF3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\nQECb7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1OpMWpZd3c3vvzlLwMA/uu//ivvt8/lMM/V4sWLEQqFPPcr5jWayBjbq0ceecTa\n3mOPPUp+fCqVshYwz/c7CnCe3zfffLOiY1S7Yn+XA5nn+Pbbb1uZrlN5nKmaay3q7+/HK6+8AqC8\n/y9A8ec3EolYC/6Xe22Qb4xalkqlcOGFF0JVVXzta1+rePMb81zJsoylS5d67lfM+85ExqhF5vVb\nXV0d9tlnHwwPD+Pmm2/GRRddhNNPPx2f/exn8bvf/Q7j4+MTOo55rnbZZZe8mb7FvEYTGaMWrVix\nwvqZPP/8860vgkzvvfcePvGJT0BRFLS3t+PrX/96yccYHx+3rtGLfR9RVRXr16+v6BhUmAZRI3+o\nVjEwSFXt8MMPxyOPPII99tgDv/71rzF//nwccMAB+NjHPoYdd9wRxx9/PADgiiuuwB/+8IeyjrF1\n61Zre968eXn3nT9/fs5jKjVGLbKXaGmahv333x+nn346br75ZqxatQq//e1vcfnll2PJkiX4zne+\nA1FmE3TzXDU1NaGhocFzv0gkYnV09HqNJjJGLfv85z+PwcFBHH300Z5lHhNhnqtif/7tj6nkGNuj\nN998E3fddRcAvWR0zz33LHmM7u5uKzuk3PNbiTGqXTm/y1OpFPr6+qb8OFM111r0wx/+EOl0GkD5\n2VC8Npi4H/zgB3j99dex884749vf/nbFxzfPVUdHB4LBoOd+ra2tVrWG12s0kTFqkXn9ttNOO+Hh\nhx/G0qVL8bnPfQ7/8z//g3vvvRe/+c1vcMEFF2DRokW45557yj4Orw3KFw6H8cwzz+CMM87A+vXr\nsXz5cuy+++448sgjsffee2Pp0qV48skn8bGPfQzPP/+8VVJcim3btlnX5uWe30qMQUTTj4FBqnoH\nH3wwrrzySixcuBBjY2N44YUX8Pjjj2PTpk2QJAnnnXceVqxYUfbaGvYsxPr6+rz7mvdnZy5WYoxa\nNDQ0BED/pv2MM87AP//5Txx55JG45ZZbcM899+Dqq6/GwoULkUql8P3vfx//+Z//WdZxzHNV6Nza\n9/F6jSYyRq266667sGrVKkQiEfz617+elGMUe37t95f7GuUbY3uTSCTw6U9/2gpy/PSnPy1rnHJ+\nR2U/rhJjVLupeo58PSbPo48+il/96lcAgN13391aN7ZUvDaYmFdeeQU/+clPAAC//vWvraBaJfHa\noHzm9dvAwABOPfVUDA4O4vzzz8cdd9yBu+++G1/5ylfQ0NCAgYEBnHHGGbjvvvvKOo65DvBEfkdV\nYoxa1d7ejq985Ss45phjoGka3nzzTTz22GN47bXXkE6n8cEPfhBXXHEFdtppp7LG53sREZnKi6QQ\nTZHe3l6cdNJJeO655xAOh7FixQp8+MMfRl1dHd555x3cfvvtuPHGG3H77bfjjjvuwGmnnVbyMcwP\n3EDhhXvNNYDS6TSEEJAkqWJj1KJEIgFAzxbctGkTrrzySlxzzTWOfT73uc/hsMMOw6uvvorrrrsO\n5557LpYvX17ScczzW0zw1zy/5rpOlRyjFvX39+OLX/wiAH0B+HIvHgsp9vya5xYo/zXKN8b25pJL\nLsFLL70EAPjSl76EY445pqxxyvkdBTjPbyXGqHZT9Rz5ekyOd955B2eddRZUVUU4HMaf/vQnx3Mv\nRTnn1+t32kTGqEWKouDCCy9EOp3Gueeei6OOOmpSjsNrg/KZ129dXV2QJAn33XcfTjrpJOv+M844\nAxdddBEOOeQQjI6O4rOf/SyOOeaYkgK8iqJY64OX+zuqEmPUsm9/+9v4wQ9+AEBfQ/GMM87AvHnz\nMDAwgDVr1mDVqlU49thjccEFF+CWW24p+fcd34tqg4CAViNFuiwmrl3MGKSqJYTAySefjOeeew5N\nTU1Yu3Ytbr75Zpx77rk47bTTcMUVV+DVV1/FKaecgng8jjPPPNP6AF0K+yK5hRbCjcfj1mPsAb1K\njFGL7M978eLF+NGPfpSzT0tLC2666SYA+mv63//932Ufp5iFis3zm/2tZSXGqEWXXXYZ+vr6sPfe\ne+OrX/3qpB2n2PNrnlug/Nco3xjbkyuvvBJ33HEHAOC4446bUMOYcn5HAc7zW4kxqt1UPUe+HpXX\n3d2No48+GgMDA/D5fPjDH/4woTXtyjm/Xr/TJjJGLbrmmmvwyiuvoL29HT//+c8n7Ti8Niif/Wfz\nrLPOcgQFTXvssYe1jndPTw9Wr15d0jH8fr8VCCr3d1QlxqhVN9xwgxUU/N73vofHH38cn//853HK\nKafg4osvxj333IP//d//hSRJ+O1vf4urrrqq5GPwvYiITMwYpCkVjUbxyU9+0vP+lStXIhwOAwD+\n/ve/W4sjX3HFFVaHYrtgMIhbbrkFa9asQSqVwk9/+lP86U9/KmlOLS0t1vbQ0JC1ALib4eFhAMjp\nxlmJMarFq6++al0IZlu4cKGjFNX+vE844QTPRaEPOeQQdHZ2oq+vD2vXri15TuZxRkZGCmZZjoyM\nAPB+jSYyRrVYuXIlfvvb37red/jhh1sBwDVr1uCuu+6CLMu45ZZbyi63L0ZLSwvGxsas8iQv5s8/\n4P4aTXSManHNNdfgqaeecr3v0ksvdf0QZvfjH/8Y1157LQC9U+bKlSsn9Ppl/47Kx+v8VmKMajdV\nz5GvR2WZ66e+++67kCQJt912W1kVBHbZ57ezs9Nz32KvDcoZo9a8/fbbVjDjZz/7Wd7nPFHm+S30\n86+qqlW26PUaTWSMWmT/2TzllFM89zv55JNx5ZVXAgDWrl2LM888s+Tj9PX1TfjaYKJj1CKzFH+3\n3XbDt771Ldd9zjnnHNx1111YvXo1brzxRnznO99BY2Nj0cfgexERmRgYpCmVTqfxwAMPeN5v75b4\nzDPPWNtHH32052M6Ozux77774rnnnnM8plhLliyxtt9//33svffenvtu2rQJgN4ZrdJjVIu+vj7P\n18je8Q1wPod8wVDz/r6+PvT29pY8J/P8JpNJdHd3Y+7cua779fX1Wd9Ger1GExmjWmzYsMHzNbJf\noP3zn/8EADQ2Nlof1LL961//srbPOeccBAIBzJ49u+TMziVLlmDz5s14//338+5n/vwD7q/RRMeo\nFi+++KLna3TkkUfmfewNN9xgdRc84IADcP/99094fa5Zs2ahqakJo6OjZZ/fSoxR7bJ/l+djPse2\ntraSu3xX4jhTNddqNzo6io9//ON47bXXAADXX389LrjgggmPm31+83WsLfbaoJwxas369euRSqXg\n8/mwcuVKrFy5Mmcf+++Hq666Cu3t7QCcXw4Xwzy/5hdKZuOwbNu2bbMaJ3m9RhMZoxbtsssuePnl\nlwHkv37bYYcdrO1yr9/6+vomfG0w0TFqzfvvv2815zjqqKPyfpl99NFHY/Xq1UgkEnj55Zdx6KGH\nFn2cBQsWIBwOI5FIlH1+KzEGFSJqpkRXoLxGkzT9GBikKdXQ0JC3FMH+4ddcbBhAwW+/mpqach5T\nLHsQb926dTjxxBNd9+vr67Pe0LLLkyoxRrXYZ599PF+j7G6+9rUCC5UPmOvZlHLRb8o+v2Y36mwv\nvviitV3oNSpnjGpxxhlneHamXbBgQc5tIyMjeQPypocffhgAsOOOO5Y8p7333huPP/44tm3bhp6e\nHsyePdt1v0Kv0UTHqBZXXXWVZ3Bijz328Hzcf//3f+NLX/oSAP3/4oMPPljSt//57LXXXnj66aex\nbt26vPuZ57euri5nTcpKjFHNdtllF+sDTqHnaC5dUc7PYCWOM1VzrWaxWAzHH388XnjhBQDAtdde\ni8suu6wiY2e/Z3itk7dlyxYrYFLofaecMWqVqqpFve+YlSGA88vhYmSf3yOOOMJ1v1KuDcoZoxYt\nX74cd999N4D812/mtRtQ/vXb2rVrsXHjxryB10Kv0UTHqDXlfAbKflwxZFnGHnvsgZdeeqno9/WW\nlhZHMLkSYxDR9GNgkKaU3+/HCSecUNS+9qDAxo0bsWzZMs993333XQB6RkupdtttNyxevBgbN27E\nAw88gO985zuu+61Zs8bazg4qVWKMatHR0VH0a3TIIYegra0Ng4ODeOWVVzz3i0aj2LBhA4DyviE8\n5phj4PP5rA8aXufOPL+yLOPYY4+t+BjVYuedd8bOO+9ccL98AUTTzTffbH14+8Mf/oCmpibHejHF\nOu644/DLX/4SAPDAAw/goosuct3PPL877LBDztwqMUa12G+//Up+zB//+EdceumlEEJg9913xyOP\nPOL5Aagcxx13HJ5++mls2bIF//znP10zm2OxGP7xj38AAD7+8Y/nLA9QiTGqWSAQwFFHHYXVq1fj\nscceQyKRcP0w/NJLL6GnpwdAeb/LK3GcqZprtUomkzj55JOtkv3vf//7uOKKKyo2/vLlyzFv3jxs\n27YNDzzwgFVOmc0e/Mo+v5UYo9YccMABBdei++tf/2qtPXz11VdbQZxSM6OPPfZYSJIEIQQeeOAB\nz6Ce+Z7h9/tzKlAqMUYtOuGEE6xlY1555RUcdthhrvvZr+3KuX477rjj8Jvf/AZCCPz1r3/F2Wef\n7bqfeX6XLl3qyLSt1Bi1xv55ZuPGjXn3NT8DZT+uWMcddxxeeuklbNiwAW+99ZZrZvPo6Kj1u/a4\n446blDGIaJoJoir10ksvCQACgDj55JM993v00Uet/S655JKyjvXd737XGuPxxx/PuT+dTovly5cL\nAGL+/PkimUxOyhi16Etf+pIAIEKhkNi4caPrPj//+c+tc3PzzTeXdZwTTjhBABCNjY1i69atOfd3\ndXWJ5uZmAUAce+yxkzbG9uYLX/iC9dr09fWVPU4qlRI77LCDACD23HNPkUqlcvZ54oknrGN961vf\nmpQxatWqVauE3+8XAMTSpUtFV1dXxY+xceNGEQgEBABxzjnnuO5j/7/65z//eVLGqHYrV6605n/D\nDTe47nPmmWcKACIYDIpNmzZN23Gmaq7VJpVKiRNPPNF67lddddWkHOf//b//Zx3jmWeeybk/mUyK\nZcuWCQBi0aJFQlGUSRlje/PrX/867/VSKY488kgBQLS2toqenp6c+zdt2iTq6+sFAHHqqadO2hi1\naL/99hMAxLJlyzyvSU877TTrtXrttddKPkY8Hhdz5swRAMQHPvAB15/vhx9+2DrGj370o0kZoxaZ\nvxcaGho8rwlisZhYvHixACCamppEOp0u+Tjr168XPp9PABAXX3yx6z5XX321dX4feuihSRmDct14\n44365xb/ArFv6yU18Wen+qOt3ytUWxgYpKp26KGHWm8il19+uRgbG3Pc//DDD4vOzk4BQPh8PteL\nlj/96U/i+OOPF8cff7x4/vnnXY/z/9u78+gqyzsP4L8EEQMqm6gUlCVIwV3EwSou1AFcemzrOGBx\nA2VEW49L6SbuE9xqq1bPOAzaWuxUaWttOzozDhYVp2OpMm5HNqXCoFX2TQsCJs/8EXIhJoGQ7d6b\n+/l47jl5877v8/5urtGb7/0977Nhw4bMm44ePXqk//3f/83s++tf/5ouuuiiTB2PPPJIs42Rj1au\nXJm6dOmSCXMWLlxYbf9jjz2W9tprrxQRqbS0NH3yySc1xpg8eXLmNVq7dm2t13njjTcywcmQIUOq\nBXsffPBB+sIXvpAiIu2xxx7p1VdfbbYxWpv6BoMXX3xxOuuss9LFF19c5zGPPvpoZqwLLrggffzx\nx5l9r732WurZs2eKiLT//vundevWNdsY+ea//uu/Urt27VJEpL59+6b33ntvt8dYu3Zt5ndo8uTJ\ndR531VVXZX6+d955Z7U/sJ588slUUlKSIiKdeOKJzTpGLquoqEhDhgxJEZE6dOiQ/u3f/i2zb+vW\nramsrCzz/CdOnFjrGH/84x8zr8evfvWrZrtOU4yRb8rLy9Po0aMzz+ub3/xmg8b52c9+lnmNXn/9\n9VqPWbNmTeratWuKiNSrV6/05ptvZvZ99NFH6bzzzsvU8fjjjzfbGK1NfYPBm266KfMa7fj/gh29\n8sormUBi6NChadmyZZl97733Xho8eHCKiNS2bds0d+7cZhsjHz3//POpqKgoRUT6u7/7u7RmzZrM\nvs2bN6frrrsu8zqdd955tY4xZsyYdNZZZ+30g/mpU6dmxrnkkkvSxo0bM/tefvnl1L179xQR6XOf\n+1ydr3NTjJFvdnzORx99dJo/f361/e+//34aOXJk5phJkybVGGP58uWZ36G77rqrzmtddtllmXHu\nueeeVF5entn3i1/8IvMe5Ytf/GKzjkF1gkFakmCQnLZ06dLUu3fvzP9oOnTokIYOHZpGjBiR+YQs\nIlJxcXH6l3/5l1rH2PEPo6eeeqrOa82ePTvziXBRUVEaNGhQGjZsWOrUqVPm/AkTJuy03qYYIx+9\n+OKLmTCguLg4HXvssWnEiBGpV69emefdvXv39NZbb9V6/pe//OXMcTvrlPrxj3+ceRPbrl27dOKJ\nJ6YTTzwx82ajqKgoTZ06dae1NsUYrUl9g8EePXpkQu/6jtepU6c0bNiwdOyxx2Z+5iUlJel//ud/\nmn2MfNK+ffvM8z3mmGMyb+LrekyfPr3GGB9++GFmjJ11WH/yySfVPnDp0aNHOu2001L//v0z3zv4\n4INr7ahtyjFy3dKlSzMhdESkAQMGpNNOOy3zx2dEpGHDhtXZZfOb3/wmc9wdd9zRbNdpqjHyyU9+\n8pPM89pzzz13+ftSV6h0/fXXZ8Z59tln67zeiy++mPlwq6ioKA0ePDideuqpme7yiEhXX331Tmtu\nijFak/oGgzuGHnV9aJhSSg8++GDmuL322isNHTo0nXDCCWnPPffM/MynTZu205qaYox8dO+992ae\nd0lJSTrppJPSF7/4xcwHvhGVH6Ru2LCh1vOrQu/S0tKdXufSSy/NjNelS5c0bNiwdMwxx2S+t/fe\ne6dXXnml2cfIJxUVFWns2LGZ51dUVJSOOOKINHLkyDR48ODMB90RkUaMGFHrf+MXL16cOWb06NF1\nXmvjxo2ZD8cjIh100EHptNNOS/369ct8r2/fvtVC8+YYg+oEg7QkwSA5b+3atemb3/xmtTcpVY82\nbdqk4cOHpz/84Q91nl/fYDClylb4M844I/PJcdWjd+/edQaPzTFGPlq4cGH60pe+VO2NStUbzUsu\nuSR98MEHdZ5b32AwpZSee+65zPSXHR/HHHPMTv+4a+oxWoumDgZTSunhhx+uFtxXBcYjRoyo8Yl3\nc46RLz777+GuHmVlZTXGqG8wmFJlJ8gNN9yQ+YNux9/Viy++OK1atWqXNTfFGLluxYoV6aKLLsoE\nOlWP/fbbL9100021TnWvUt9gsLHXacox8sUDDzyw278ztYVK9Q0GU0pp7ty5afjw4am4uLjauH37\n9k0/+clP6lV3U4zRWjR1MJhSZef10UcfXeO1Hzx4cHrhhRfqVVdTjJGPZsyYkemK3PHRrVu3dOut\nt9Y606NKfYPBlCpf9x0/MK56H3/mmWemd955p161NsUY+ebRRx9NRx55ZK3/bSstLU333Xdfnbcg\nqG8wmFLllO3vfe97qXPnztWu0b59+zR+/PhqHaXNOQbbCQZpSUUppRSQB1JK8fbbb8cHH3wQW7du\njc6dO8ehhx4aHTp02Ol5ixYtigULFkRE5U2x63Nj3lWrVsU777wTGzdujB49esTnP//5KCoq2q16\nm2KMfLR27dp4++23Y/369dG1a9c4/PDDo127djs9Z86cObFs2bKIiBg+fPguj4+IeO+99zI3XO7T\np08cfPDBu11rU4yR7+bOnZu5sfXIkSOjbdu2tR43c+bM2LRpU5SUlNR5c/bPWrhwYbz//vtRUlIS\nhxxySHTr1m2362uKMXLd008/vVvHDxgwoMaN1Tdv3hzPPvtsREQceOCBMXjw4F2Os3Xr1pg/f34s\nX748OnXqFAMHDqyx8nhLjJHrPvroo1iwYEGsW7cuDjjggDj00ENjjz12vnbb8uXLMyvlDhw4sF6L\nBTXkOs0xRq5bsmRJvPXWW7t1zumnn17j57Bw4cJ45513IiLi+OOPj/3222+X46xcuTLeeeed2LRp\nU/Ts2TM+//nP71YdTTVGvlu6dGm8+eabERHxhS98Ibp27VrrcS+//HJmtebaXsPa/N///V8sWbIk\nIiL69u3boJVPm2KMfPSXv/wl3n333di8eXN07949Dj300F2+b50xY0Zs2bIlOnToEMOGDdvlNVJK\nsXDhwvjLX/4S7du3j/79+9f5+jfnGPloxYoVsWjRovjoo4+iffv20adPn+jZs+dOz9m0aVPMnDkz\nIiJ69OgRxxxzzC6vs2XLlpg/f36sWLEiOnfuHAMHDtzl31rNMQYRDz74YHzjG9+IffboEX33OT3b\n5dTLhi1LY/Ffn42BAwfGvHnzsl0Ou0EwCAAAAJAjBIO0pOJsFwAAAAAAtLzWNb8EAAAAoBVIEVER\nFdkuo14qwmTUfKVjEAAAAAAKkGAQAAAAAAqQqcQAAAAAOSdFypOpxPlSJzXpGAQAAACAAiQYBAAA\nAIACZCoxAAAAQI6pnEhcnu0y6sVU4vylYxAAAAAACpBgEAAAAAAKkKnEAAAAADkoX6bopkjZLoEG\n0jEIAAAAAAVIMAgAAAAABUgwCAAAAAAFyD0GAQAAAHJMKkpRUZQn9xjMkzqpSccgAEAjrF69OsaN\nGxeXXXZZbN68OdvlNMrEiRNj7Nix8fbbb2e7FAAAWoBgEACgEW655Zb46U9/GsXFxdGuXbtsl9Mo\nXbt2jWnTpsW3vvWtbJcCAEALEAwCADTQwoULY8qUKdGuXbu4/vrrs11Oo1111VXRtWvXeOqpp+K5\n557LdjkAUOBSVER5njxMJc5XgkEAgAaaNGlSfPrpp3HRRRfFQQcdlO1yGm3vvfeOq6++OiIivv3t\nb2e5GgAAmptgEACgAZYuXRq/+93vIiJi7Nix2S2mCV100UVRVFQUr776arz00kvZLgcAgGYkGAQA\naICpU6dGeXl5lJaWxgknnJDtcppMr1694qSTToqIiH/+53/OcjUAUNhSVOTFIyJl+0dFA+2R7QIA\nAJrKvffeG2+88UYUFxfHbbfdFt27d6/1uKeffjqeeOKJiIgYP358DB06dLev9cgjj0RExN///d/v\n9Lirr7461q9fH2effXacc845dR73D//wD7F169Y477zz4vTTT6+2784774wFCxbEoEGD4qqrroqI\niFmzZsXMmTNj1apV0bt37/ja175WYzrzhg0bYvr06TF//vwoLy+PQYMGxahRo6J9+/Y7rXnUqFHx\n4osvxq9+9at48MEHY5999tnp8QAA5CfBIADQapxxxhlx4403xl//+tdYunRpzJgxI4qLq0+QWLx4\ncVxwwQWxfv36OOGEE+L444/f7evMmzcvPvjgg4iIXXYL/uIXv4jly5dHz549dxoM/uxnP4vNmzfH\n4YcfXiMYfOaZZ2LWrFmxbt26GDduXIwaNSqeeeaZasfcfPPN8dBDD8UFF1wQERFPPfVUXHjhhbF+\n/fpqx5WVlcXvf//76NOnT521VD2nzZs3x3//93/HmWeeudPnCABAfjKVGABoNQYMGBAPPPBARETM\nnDkz7rjjjmr7t27dGl/72tdi/fr10alTp3jsscdijz12/3PSWbNmZb4eMmRI44reTaNHj44//OEP\nceWVV8aUKVNi8uTJ0adPn/jkk0/ikksuiddeey1mzpwZ55xzTpSWlsbtt98eU6ZMiXHjxkVxcXG8\n++67ce6550ZFRd2rBx555JHRoUOHiIh44YUXWuiZAQA7SilFRSrPk4dVifOVjkEAoFUZN25c/P73\nv4/HHnssbrnlljj11FPjxBNPjIiIG264If70pz9FRMRDDz0UvXr1atA1qsbo3r177L///k1TeD3M\nnDkzOnXqFG+88Ub07ds38/3LL788jjzyyPjggw/i5ptvjrlz58bll18e999/fxQVFUVExIQJE+KY\nY46Jq666Kl599dV49tlnY+TIkbVep02bNnHEEUfE7NmzY/bs2S3y3AAAaHk6BgGAVmfKlClRWloa\nn376aYwZMybWrl0bzz77bNx9990RURmSnXvuuQ0e/8MPP4yIiG7dujVJvfX18ccfxz/90z9VCwUj\nIrp27RoTJkyIiMopxG3bto177703EwpWueKKK6Jz584RETWmIn/WfvvtFxHbnysAAK2PYBAAaHX2\n2WefmD59euy5556xdOnSOP/88+PCCy+MlFIcdthhce+99zZq/JUrV0ZERJcuXZqi3Hrr1q1bfOlL\nX6p139/8zd9kvr7gggtqnSK9xx57xKBBgyIiYsGCBTu9VteuXSMiYsWKFQ0tFwBolJT11Ybrvyqx\nqcT5SjAIALRKgwcPztxj8D//8z9j+fLlUVJSEtOnT4+SkpJGjf3xxx9HRGTuw9dSDj/88BqLqVSp\n6vCLqLxHYF2qjlu3bt1Or1X13KqeKwAArY9gEABota699tpq024nTZoUhx9+eKPHreoU3FW41tT2\n3XffOvft2CFYn+O2bt2602tVPbeW7ooEAKDlCAYBgFbr4YcfjnfffTez/fOf/zw2btzY6HGr7i24\nZs2aRo+Vq1avXh0RLX8fRQAAWo5gEABolebNmxfXXHNNREQcddRRUVxcHAsWLIirrrqq0WP37t07\nIiKWLVvW6LGqfPrpp002VlOoWnSkoSs3AwCNkyIiRXmePNxjMF8JBgGAVueTTz6J0aNHx8aNG+PA\nAw+MGTNmxHe/+92IiPjxj38cv/zlLxs1/kknnRQREWvXro0///nP9TpnZyHismXLory8vFE1NaWN\nGzfGvHnzIiLi5JNPznI1AAA0F8EgANDqXHvttfHWW29FUVFRPProo7H//vvHP/7jP8bxxx8fERGX\nXXZZLFmypMHjn3LKKZmv//SnP9XrnJdeeqnO8O/JJ59scC3N4ZVXXsl0MO74XAEAaF0EgwBAq/Lk\nk0/GlClTIiLiO9/5TgwfPjwiKhfdePzxx6Njx46xfv36GDNmTIOn7x5wwAExaNCgiIiYNWtWvc6Z\nP39+fPe7340tW7ZU+/4LL7wQkyZNymyvX7++QTU1pRdffDEiKlcwPu6447JcDQAUqhQVefJPipTt\nHxYNJBgEAFqNpUuXxvjx4yMiYsiQIVFWVlZtf+/evWPq1KkREfHHP/4xbrrppgZfa8KECRER8cQT\nT9QI+2rTu3fv+OEPfxh9+vSJs846K8aMGRODBg2KYcOGRZs2bTKrJz/wwANx4YUXxquvvtrg2hrr\nsccei4iISy65JNq2bZu1OgAAaF6CQQCgVSgvL48xY8bE2rVrY999943HH3+81lBr1KhRcemll0ZE\nxF133RXPPfdcg643ZsyY2HfffWPNmjXx9NNP7/L4888/P66//vpYsWJF/Md//Ec8/vjj8dprr0Vp\naWk888wzceONN0ZEZcfgz3/+81i1alWD6mqsOXPmxIIFC6KoqCgTfgIA0Drtke0CAACawrJly2L8\n+PExfvz4GDhwYPTp06fOY++///446aSTIqVUr26/2uy9995x2WWXxQ9+8IN46KGH4pxzztnlOZMn\nT45rrrkmZs+eHR9//HH06tUrhgwZEsXFxXHcccfFUUcdFYsWLYpBgwZFaWlp5rzvfe97MXbs2Dj4\n4IPrHPvggw+ORx55JCIiBgwYUOdxEyZMiL/927+N/fbbr9b9Dz/8cEREfOUrX8l0MQIA2ZDyZrXf\nlqhzzZo18fLLL8fLL78cixcvjpRSlJaWZj5cra8lS5bEb3/721i8eHFUVFRE796948tf/nL069ev\nmSrPbUUpJRPBAQAaYN26ddGvX79YvXp1zJ49O4YMGVLjmAMPPDCWL18e119/fUyePDkLVdbf0qVL\n45BDDomUUsydOzcOOeSQbJcEAAXnwQcfjG984xux1x5do9s+g7NdTr1s2rIiVv31tRg4cGDMmzev\nSceeMmVK/PCHP4xFixbV2DdkyJCYPXt2vcbZsmVLfOc734n7778/aovCLrvssrjvvvuipKSk0TXn\nE1OJAQAaqFOnTpn7FDbmfoW5oqysLLZs2RJXXnmlUBAAyAmvv/56LFq0KLp06RIjRoyIG264Ibp1\n67bb44wbNy5+9KMfRUopTjnllLjnnnvivvvui9NOOy0iIqZOnRpjxoyJior86NJsKqYSAwA0whVX\nXBEdO3aMiIjNmzdHu3btslxRww0bNixOPPHE+MpXvpLtUgCg4KWISKk822XUS3NOJb7iiiti4sSJ\n1T60fPzxx2PlypX1HuOXv/xlZnG1a6+9Nu65557MvquvvjpuuOGGuO222+K3v/1tTJs2LcaNG9d0\nTyDHCQYBABqhbdu2cfHFF2e7jCYxZsyYbJcAAFDNUUcd1egxysrKIiKiT58+cdddd9XYf+utt8Zv\nfvObmDdvXpSVlRVUMGgqMQAAAACt0oIFC+Ktt96KiMrpxG3btq1xTJs2beLSSy+NiIjFixfHnDlz\nWrTGbNIxCADQjH70ox/Fpk2bmuTTbgCgkKSoyJtViXN3Xdvnn38+8/WwYcPqPG7Hfc8//3wMHpwf\nC780lmAQAKAZjR49OtslAAAUrLlz52a+PvTQQ+s8buDAgZmvm3pl5VwmGAQAAACg0crLy2Pt2rU7\nPaZz584tVE2l9957LyIiSkpKokuXLnUet9dee0XXrl1j9erVmXMKgWAQAAAAgEZ7++23dxq+RUSk\n1LLTjj/66KOIiOjQocMuj917771j9erVmXMKgWAQAAAAIOekSFGe7SLqJeXwvRA3b94cEVHroiOf\nteeee1Y7pxAIBgEAAABotP79+8fs2bOzXUY17du3j4j6hX2ffPJJtXMKgWAQAAAAgEZr06ZNi99D\ncFc6duwYEZVTilNKUVRUVOex69evj4iIfffdt0VqywWCQQAAAIAckyIipdydorujXK6zb9++ERGx\ndevW+PDDD+Nzn/tcrcdt2LAhNmzYEBERpaWlLVZfthVnuwAAAAAAaA5HHHFE5uvXXnutzuNeffXV\nWs9p7QSDAAAAALRKI0aMiOLiyvjrmWeeqfO4HfedfvrpzV5XrhAMAgAAAOScFBV58k+KlO0fVp0O\nOOCAGD58eERE/Ou//musXLmyxjHr1q2LRx55JCIihg4dGr17927JErNKMAgAAABAqzV58uQoLi6O\ndevWxejRo2PdunWZfR999FGMGTMmVqxYEUVFRXHbbbdlr9AssPgIAAAAADnpz3/+c5SVlVX73ooV\nKzL7xo4dW23fD37wg9hvv/2qfW/w4MFxzz33xDXXXBPPP/989O7dO0499dQoKiqKWbNmxdq1ayOi\nMkA8+eSTm+/J5CDBIAAAAECOSSlFSuXZLqNemnNV4pUrV8a0adNq3bdq1aoa+2655ZYawWBExNVX\nXx0HH3xwTJw4MRYvXhy/+93vMvsOOuiguPPOO2PMmDFNW3weEAwCAAAAkJNKS0sz9/+rj9pCwSpf\n/epX46tf/Wq8/vrr8e6770ZKKXr37h2DBg2KoqKipig37wgGAQAAAMhJ3bp1qzFduLGOPvroOPro\no5t0zHwlGAQAAADIQSmab4pu08qXOvksqxIDAAAAQAESDAIAAABAARIMAgAAAEABco9BAAAAgJyT\nIqX8uHdfipTtEmggHYMAAAAAUIAEgwAAAABQgEwlBgAAAMg5KVKUZ7uIekmRH1OeqUnHIAAAAAAU\nIMEgAAAAABQgU4kBAAAAckyKyJ9ViZNVifOVjkEAAAAAKECCQQAAAAAoQKYSAwAAAOSclDdTiSNf\n6qQGHYMAAAAAUIAEgwAAAABQgEwlBgAAAMgxKSIqIj+m6FaEVYnzlY5BAAAAAChAgkEAAAAAKECC\nQQAAAAAoQO4xCAAAAJBrUoqU8uMeg5En90KkJh2DAAAAAFCABIMAAAAAUIBMJQYAAADIOSlSKs92\nEfWSP1Oe+SwdgwAAAABQgASDAAAAAFCATCUGAAAAyEEpT1b7TZGyXQINpGMQAAAAAAqQYBAAAAAA\nCpCpxAAAAAA5JkXKn9V+86VOatAxCAAAAAAFSDAIAAAAAAVIMAgAAAAABcg9BgEAAAByTcqfewym\nlLJdAg2kYxAAAAAACpBgEAAAAAAKkKnEAAAAADkoRZ5MJQ5TifOVjkEAAAAAKECCQQAAAAAoQKYS\nAwAAAOSYFHm0KnGeTHmmJh2DAAAAAFCABIMAAAAAUIBMJQYAAADIQfkylTiSVYnzlY5BAAAAAChA\ngkEAAAAAKECmEgMAAADknBSRN6v95kudfJaOQQAAAAAoQIJBAAAAAChAgkEAAAAAKEDuMQgAAACQ\ng1LKj3v3pZSyXQINpGMQAAAAAAqQYBAAAAAACpCpxAAAAAA5J0WKPJlKHKYS5ysdgwAAAABQgASD\nAAAAAFCATCUGAAAAyDEp5c+qxJEnU56pSccgAAAAABQgwSAAAAAAFCBTiQEAAAByToqI8mwXUU+m\nEucrHYMAAAAAUIAEgwAAAABQgEwlBgAAAMg5KW9WJU4pZbsEGkjHIAAAAAAUIMEgAAAAABQgwSAA\nAAAAFCD3GAQAAADISflxj8H8qZPP0jEIAAAAAAVIMAgAAAAABchUYgAAAICckyJSnkzRTSnbFdBA\nOgYBAAAAoAAJBgEAAACgAJlKDAAAAJCDUuTHFN18qZOadAwCAAAAQAESDAIAAABAATKVGAAAACDn\npIjIk1WJTSXOWzoGAQAAAKAACQYBAAAAoACZSgwAAACQi1K+TNHNlzr5LB2DAAAAAFCABIMAAAAA\nUIAEgwAAAABQgNxjEAAAACAHpby5d1++1Mln6RgEAAAAgAIkGAQAAADIObrwaH6CQQAAAIAcMXTo\n0B22KrJWR/2lqKrzlFNOyW4p7LailJIIGgAAACBHjBs3Ln76059u22oTEUVZrGZXKqIqGFy2bFkc\ncMAB2S2H3aJjEAAAACCHlJWV7bCVy/1c27sFb731VqFgHhIMAgAAAOSQnj17xnXXXbdtqyJyNxys\nrKt79+4xceLELNdCQ5hKDAAAAJBj1q9fH/369YtVq1ZFZV9XrvV2pYgoj4iIhx56KMaPH5/dcmiQ\nXPu3CgAAAKDgdezYMW6++eZtW7nYNVg5hfiwww6LcePGZbkWGkrHIAAAAEAO2rp1axx22GHxzjvv\nROUCJG2yXdI227sF//3f/z3OPPPM7JZDg+kYBAAAAMhBbdu2jTvuuGPbVorc6Rqs7BYcNmxYnHHG\nGVmuhcbQMQgAAACQo1JKMXTo0HjppZciN7oGt3cLzpkzJ4499tjslkOj6BgEAAAAyFFFRUVx9913\nb9vKdtfg9lDw/PPPFwq2AjoGAQAAAHLcueeeG7/+9a+3bbWJyu7BllYRVdOIlyxZEr169cpCDTQl\nHYMAAAAAOW77vQYjstM1mKIqFPz2t78tFGwlBIMAAAAAOe6QQw6JK6+8cttWRbR8OFh5vc6dO8d1\n113XwtemuQgGAQAAAPLATTfdtMNWSwaD27sFb7zxxujcuXMLXpvmJBgEAAAAyAPdunWL22+/fdtW\nS3YNVoaCffr0ia9//estdE1agsVHAAAAAPLEpk2bon///vH+++9H5QIkbZr5ittXIp4+fXqMHj26\nma9HS9IxCAAAAJAnSkpKoqysbNtWiubvGqzsFjzuuONi1KhRzXwtWpqOQQAAAIA8Ul5eHoMGDYo3\n33wzmrdrcHu34KxZs+Lkk09upuuQLToGAQAAAPJImzZt4u6779621Vxdg9sXHDn77LOFgq2UjkEA\nAACAPDRy5MiYMWNGNE/XYEVUBYPz58+PAQMGNPH45AIdgwAAAAB56Pvf//62r7Z39zWN7eNdfvnl\nQsFWTMcgAAAAQJ4aO3ZsTJs2bdtWm6jsHmys7d2CH374YRx44IFNMCa5SMcgAAAAQJ6aPHnyDltN\n0fu1vVvw1ltvFQq2coJBAAAAgDzVs2fPuO6667ZtVUTjw8HK87t37x4TJ05s5FjkOlOJAQAAAPLY\n+vXro1+/frFq1aqo7AFraB9YiojyiIh46KGHYvz48U1UIblKxyAAAABAHuvYsWPcfPPN27Ya0zVY\nOYX4sMMOi7FjxzZBZeQ6HYMAAAAAeW7Lli1x2GGHxaJFi6JyAZI2uznC9m7Bp59+Os4666wmrpBc\npGMQAAAAIM/tueeeceedd27bSrH7XYOV3YLDhg2LM888sylLI4fpGAQAAABoBVJKMXTo0HjppZdi\n97oGt3cLzpkzJ4499thmqpBco2MQAAAAoBUoKiqKu+++e9tWfbsGt4eC559/vlCwwOgYBAAAAGhF\nzj333Pj1r3+9batNVHYP1qUiqqYRL1myJHr16tXM1ZFLdAwCAAAAtCJ33HHHDls76wdLURUKfutb\n3xIKFiDBIAAAAEArcsghh8SVV165basi6g4HK7/fuXPnmDRpUkuURo4RDAIAAAC0MjfddNMOW7UF\ng9u7BW+88cbo3LlzS5RFjhEMAgAAALQy3bp1i9tvv33bVm1dg5WhYJ8+feLrX/96S5ZGDrH4CAAA\nAEArtGnTpujfv3+8//77UbkASZtte7avRDx9+vQYPXp0liok23QMAgAAALRCJSUlUVZWtm0rxfau\nwcpuweOOOy5GjRqVjdLIEToGAQAAAFqp8vLyGDRoULz55ptR2TVYHFXdgrNmzYqTTz45m+WRZToG\nAQAAAFqpNm3axN13371ta/sU4rPPPlsoiI5BAAAAgNZu5MiRMWPGjMz2/PnzY8CAAVmsiFygYxAA\nAACglfv+97+f+XrChAlCQSJCxyAAAABAQRg7dmw88cQTsWjRojjwwAOzXQ45YI9sFwAAAABA85s8\neXIcfvjhQkEydAwCAAAAFIiUUhQVFWW7DHKEewwCAAAAFAihIDsSDAIAAABAARIMAgAAAEABEgwC\nAAAAQAESDAIAAABAARIMAgAAAEABEgwCAAAAQAESDAIAAABAARIMAgAAAEABEgwCAAAAQAESDAIA\nAABAARIMAgAAAEABEgwCAAAAQAESDAIAAABAARIMAgAAAEABEgwCAAAAQAH6fyWPlNDJAvn7AAAA\nAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# Plot field\n",
        "sim_data2.plot_field(\"field_mon\", \"E\", \"abs\", f=cross_freq)\n",
        "\n",
        "plt.show()"
      ],
      "id": "7db23287"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}