{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Source normalization\n",
        "\n",
        "In this notebook, we will exemplify the three different source\n",
        "normalization schemes used for\n",
        "[PlaneWave](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PlaneWave.html)\n",
        "(as well as\n",
        "[GaussianBeam](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.GaussianBeam.html)\n",
        "and\n",
        "[ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html)),\n",
        "[TFSF](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.TFSF.html),\n",
        "and\n",
        "[PointDipole](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PointDipole.html)\n",
        "sources, and how each relates to the magnitude of the electric field,\n",
        "$|E|$. We will also discuss the importance of monitor placement when\n",
        "there are forward and backward fields of nearly equal amplitude.\n",
        "\n",
        "You can find more information about source normalization on\n",
        "[this](https://docs.flexcompute.com/projects/tidy3d/en/latest/faq/docs/faq/How-are-results-normalized.html)\n",
        "page.\n",
        "\n",
        "## Table of contents\n",
        "\n",
        "1.  [Simulation setup](#setup)\n",
        "2.  [Plane wave and TFSF normalization](#pw_tfsf)\n",
        "3.  [Custom source normalization](#customSource)\n",
        "4.  [Placing a normalization monitor](#normalization)\n",
        "5.  [Point dipole normalization](#dipole)\n",
        "6.  [Current source normalization](#currentSource)"
      ],
      "id": "0aa05f09-102f-4657-9839-68ce65a0dfc9"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web"
      ],
      "id": "39df6895"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Setup <a name=\"setup\"></a>\n",
        "\n",
        "We will first define global variables and an auxiliary function for\n",
        "returning the simulation object."
      ],
      "id": "81848ee2-56bd-4681-a2a1-f3b8005624c4"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# global variables\n",
        "freq0 = td.C_0 / 1.5\n",
        "fwidth = 0.1 * freq0\n",
        "source_time = td.GaussianPulse(freq0=freq0, fwidth=fwidth)"
      ],
      "id": "60394f56"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# auxiliary function\n",
        "def get_sim(\n",
        "    size=1,\n",
        "    source_type=\"PW\",\n",
        "    theta_degree=0,\n",
        "    min_steps_per_wvl=20,\n",
        "    bloch_medium=td.Medium(permittivity=1),\n",
        "    pol_angle_degree=0,\n",
        "    structures=[],\n",
        "):\n",
        "    \"\"\"\n",
        "    Creates and returns a Tidy3D simulation object with either a Plane Wave (PW) or TFSF source.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    size : float\n",
        "        x and y size of the simulation domain.\n",
        "    source_type : str\n",
        "        Type of source to use: \"PW\" (Plane Wave) or \"TFSF\" (Total-Field Scattered-Field).\n",
        "    theta_degree : float\n",
        "        Incident angle θ in degrees (for both PW and TFSF).\n",
        "    min_steps_per_wvl : int\n",
        "        Minimum number of grid steps per wavelength.\n",
        "    bloch_medium : td.Medium\n",
        "        Medium used for Bloch boundary condition (only for PW source).\n",
        "    pol_angle_degree : float\n",
        "        Polarization angle in degrees.\n",
        "    structures : list\n",
        "        List of structures.\n",
        "\n",
        "    Returns\n",
        "    -------\n",
        "    sim : td.Simulation\n",
        "        Configured Tidy3D simulation object.\n",
        "    \"\"\"\n",
        "\n",
        "    # angle to radian\n",
        "    theta = np.deg2rad(theta_degree)\n",
        "    pol_angle = np.deg2rad(pol_angle_degree)\n",
        "\n",
        "    # flux monitor\n",
        "    flux_mon = td.FluxMonitor(\n",
        "        name=\"flux_mon\",\n",
        "        size=(td.inf, td.inf, 0),\n",
        "        center=(0, 0, 0),\n",
        "        freqs=[freq0],\n",
        "    )\n",
        "\n",
        "    # field monitor\n",
        "    field_mon = td.FieldMonitor(\n",
        "        name=\"field_mon\",\n",
        "        size=flux_mon.size,\n",
        "        center=flux_mon.center,\n",
        "        freqs=flux_mon.freqs,\n",
        "    )\n",
        "\n",
        "    # plane wave source\n",
        "    if source_type == \"PW\":\n",
        "        sim_size = (size, size, 4)\n",
        "\n",
        "        source = td.PlaneWave(\n",
        "            center=(0, 0, -1),\n",
        "            size=(td.inf, td.inf, 0),\n",
        "            direction=\"+\",\n",
        "            source_time=source_time,\n",
        "            angle_theta=theta,\n",
        "            pol_angle=pol_angle,\n",
        "        )\n",
        "\n",
        "        # bloch boundaries.\n",
        "        bloch_x = td.Boundary.bloch_from_source(\n",
        "            source=source, domain_size=size, axis=0, medium=bloch_medium\n",
        "        )\n",
        "\n",
        "        bloch_y = td.Boundary.bloch_from_source(\n",
        "            source=source, domain_size=size, axis=1, medium=bloch_medium\n",
        "        )\n",
        "\n",
        "        bspec = td.BoundarySpec(x=bloch_x, y=bloch_y, z=td.Boundary.pml())\n",
        "\n",
        "        grid_spec = td.GridSpec.auto(wavelength=1.5, min_steps_per_wvl=min_steps_per_wvl)\n",
        "\n",
        "    # TFSF source\n",
        "    elif source_type == \"TFSF\":\n",
        "        sim_size = (size + 2, size + 2, 4)\n",
        "\n",
        "        source = td.TFSF(\n",
        "            center=(0, 0, 0),\n",
        "            size=(size, size, 2),\n",
        "            direction=\"+\",\n",
        "            source_time=source_time,\n",
        "            injection_axis=2,\n",
        "            angle_theta=theta,\n",
        "            pol_angle=pol_angle,\n",
        "        )\n",
        "\n",
        "        mesh_override = td.MeshOverrideStructure(\n",
        "            geometry=td.Box(center=source.center, size=source.size),\n",
        "            dl=(0.02,) * 3,\n",
        "        )\n",
        "        grid_spec = td.GridSpec.auto(\n",
        "            wavelength=1.5, min_steps_per_wvl=min_steps_per_wvl, override_structures=[mesh_override]\n",
        "        )\n",
        "        bspec = td.BoundarySpec(x=td.Boundary.pml(), y=td.Boundary.pml(), z=td.Boundary.pml())\n",
        "\n",
        "    else:\n",
        "        return 'source_type must be \"PW\" or \"TFSF\"'\n",
        "\n",
        "    # creating the simulation object\n",
        "    sim = td.Simulation(\n",
        "        size=sim_size,\n",
        "        boundary_spec=bspec,\n",
        "        grid_spec=grid_spec,\n",
        "        run_time=8e-12 / np.cos(theta),\n",
        "        sources=[source],\n",
        "        monitors=[flux_mon, field_mon],\n",
        "        structures=structures,\n",
        "    )\n",
        "\n",
        "    return sim"
      ],
      "id": "d366a468"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Plane wave and TFSF normalization <a name=\"pw_tfsf\"></a>\n",
        "\n",
        "There is an important difference between the normalization of the `TFSF`\n",
        "and `PlaneWave` sources:\n",
        "\n",
        "- The `PlaneWave` source is normalized to inject **1 W of total power**,\n",
        "  regardless of the source plane size.\n",
        "\n",
        "$$P_{pw} = 1~\\text{W} = \\text{constant}$$\n",
        "\n",
        "- The `TFSF` source is normalized to inject **1 W/µm² of intensity**.\n",
        "  Therefore, the **total power depends on the source plane area**.\n",
        "\n",
        "$$I_{TFSF} = \\frac{1}{\\text{Area}}~\\frac{\\text{W}}{\\mu\\text{m}^2}$$\n",
        "\n",
        "$$P_{TFSF} = \\text{Area}~[\\text{W}]$$\n",
        "\n",
        "Relating the field intensity to the electric field amplitude $|E|_0$ via\n",
        "the **Poynting theorem**:\n",
        "\n",
        "$$I = |\\langle\\vec{S}\\rangle| = \\frac{1}{2}cn\\epsilon_0 |E_0|^2~\\frac{\\text{W}}{\\mu\\text{m}^2}$$\n",
        "\n",
        "we see that an advantage of the `TFSF` normalization is that $|E_0|$\n",
        "**does not depend on the source size**.\n",
        "\n",
        "On the other hand, for the `PlaneWave` source, $|E_0|$ is **proportional\n",
        "to $\\frac{1}{\\sqrt{(S_{area})}}$**, where $S_{area}$ is the source area.\n",
        "\n",
        "As a result, the `TFSF` source is often more convenient when calculating\n",
        "**cross sections** and other quantities that depend on $|E_0|$.\n",
        "\n",
        "We can perform a simple test to illustrate this."
      ],
      "id": "10a2446a-977f-4991-aa72-acfe884a74ec"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "# create a batch of simulations for plane wave and TFSF sources with different sizes\n",
        "sizes = [0.5, 1, 1.5, 2, 2.5, 3]\n",
        "sims_PW = {str(i): get_sim(size=i, source_type=\"PW\") for i in sizes}\n",
        "sims_TFSF = {str(i): get_sim(size=i, source_type=\"TFSF\") for i in sizes}\n",
        "\n",
        "batch_PW = web.Batch(simulations=sims_PW, folder_name=\"plane_wave_normalization\")\n",
        "batch_TFSF = web.Batch(simulations=sims_TFSF, folder_name=\"TFSF_normalization\")"
      ],
      "id": "05e047e6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize the simulations."
      ],
      "id": "35192e2c-2b88-4591-8983-1510003aa16b"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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DjooIPUrl27Fv8rLS1Vnz59dO6552rDhg2aP3++tt9++2bX/89//pN9x600ZswY+yT86aefbnKd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\nbvPA3EpEN191EY0o369CmYl1/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          }
        }
      ],
      "source": [
        "sim_pw = list(sims_PW.values())[0]\n",
        "sim_tfsf = list(sims_TFSF.values())[0]\n",
        "\n",
        "# create side-by-side subplots\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5), gridspec_kw={\"width_ratios\": [3, 1]})\n",
        "\n",
        "# plot fields at y = 0\n",
        "sim_pw.plot(y=0, ax=ax1)\n",
        "ax1.set_title(\"Plane Wave Source\")\n",
        "ax1.set_aspect(0.3)\n",
        "\n",
        "sim_tfsf.plot(y=0, ax=ax2)\n",
        "ax2.set_title(\"TFSF Source\")\n",
        "\n",
        "fig.tight_layout(pad=0)\n",
        "\n",
        "plt.show()"
      ],
      "id": "e519f7a5"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c0cc1293c0074e6b974354e2f2c4e31a\",\"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\">07:20:55 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</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\">07:21:00 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.150</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\":\"0b9e7017a0364af8a55a00f322e022e5\",\"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\">07:21:17 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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"1bd7a4855e474268acdcd9d4bfe46d67\",\"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\">07:21:21 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</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\">07:21:27 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.369</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\":\"ca51214330d24e14b1556c031e47743e\",\"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\">07:21:45 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": [
        "# running the batch\n",
        "batch_data_PW = batch_PW.run()\n",
        "batch_data_TFSF = batch_TFSF.run()"
      ],
      "id": "297ab3f4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Processing the results."
      ],
      "id": "ed7366e2-b6e6-4a86-8fe3-51e800c06160"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# plane wave field\n",
        "Ex_PW = np.array(\n",
        "    [batch_data_PW[str(s)][\"field_mon\"].Ex.sel(x=0, y=0, method=\"nearest\").squeeze() for s in sizes]\n",
        ")\n",
        "Ey_PW = np.array(\n",
        "    [batch_data_PW[str(s)][\"field_mon\"].Ey.sel(x=0, y=0, method=\"nearest\").squeeze() for s in sizes]\n",
        ")\n",
        "Ez_PW = np.array(\n",
        "    [batch_data_PW[str(s)][\"field_mon\"].Ez.sel(x=0, y=0, method=\"nearest\").squeeze() for s in sizes]\n",
        ")\n",
        "E_PW = np.sqrt(np.abs(Ex_PW) ** 2 + np.abs(Ey_PW) ** 2 + np.abs(Ez_PW) ** 2)\n",
        "\n",
        "# plane wave flux\n",
        "flux_PW = [batch_data_PW[str(s)][\"flux_mon\"].flux.values.squeeze() for s in sizes]\n",
        "\n",
        "# analytical |E| field for the plane wave\n",
        "E0_PW = [np.sqrt(2 / (td.C_0 * 1 * td.EPSILON_0 * s**2)) for s in sizes]\n",
        "\n",
        "# TFSF field\n",
        "Ex_TFSF = np.array(\n",
        "    [\n",
        "        batch_data_TFSF[str(s)][\"field_mon\"].Ex.sel(x=0, y=0, method=\"nearest\").squeeze()\n",
        "        for s in sizes\n",
        "    ]\n",
        ")\n",
        "Ey_TFSF = np.array(\n",
        "    [\n",
        "        batch_data_TFSF[str(s)][\"field_mon\"].Ey.sel(x=0, y=0, method=\"nearest\").squeeze()\n",
        "        for s in sizes\n",
        "    ]\n",
        ")\n",
        "Ez_TFSF = np.array(\n",
        "    [\n",
        "        batch_data_TFSF[str(s)][\"field_mon\"].Ez.sel(x=0, y=0, method=\"nearest\").squeeze()\n",
        "        for s in sizes\n",
        "    ]\n",
        ")\n",
        "E_TFSF = np.sqrt(np.abs(Ex_TFSF) ** 2 + np.abs(Ey_TFSF) ** 2 + np.abs(Ez_TFSF) ** 2)\n",
        "\n",
        "# TFSF flux\n",
        "flux_TFSF = [batch_data_TFSF[str(s)][\"flux_mon\"].flux.values.squeeze() for s in sizes]\n",
        "\n",
        "# analytical |E| field for the TFSF source\n",
        "E0_TFSF = [np.sqrt(2 / (td.C_0 * 1 * td.EPSILON_0)) for s in sizes]"
      ],
      "id": "69da65c4"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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mZm2LRpE0xNTQEwbqaS\n2djYlLhetLGxMVasWCH9X9u4OTw8HH/99RcA4KOPPkK3bt2U0s3MzLBx40YYGBgo9am9StgpTVXC\nqVOnkJqaCgCYPHmy2jympqbSTcelS5cQExNTYe0jUufvv/8GANja2mLYsGFq8/j5+cHGxkYpPxG9\nnuzt7V+ap0+fPtLv9+7d06oexbVGJpPhvffeU5unS5cuaNOmjVJ+qjpq1ar10umTa9asiU6dOgHQ\n/lwiUqhZs6a0fERRUZFWZezdu1faV9P9voODAwYOHAgAOHjwIPLz87Wqi6i6OnbsGDIyMgBofh9Z\nWFhIS3OcO3cOiYmJFdY+InUU95pOTk7o16+f2jxjxoyBmZmZUn4iej1VdNxsbGyM8ePHq83j6emJ\npk2bKuWnqsPOzu6lA5Zq166Ndu3aAWDcTOXn4OAgnXPaxs27d++GEAKA5vv9Jk2aoHfv3gCK42y5\nXK5VXfrCTmmqEs6dOyf93rNnT435Xkx7cR+iynD+/HkAwFtvvaVxjQgTExO8+eabACCNXCQi0qSg\noED6XXETWlaKz0dXV1fUrVtXYz7FZ+rdu3eRnJysVV30alOcT9qeS0QKDx8+lB4g1XatT8W1ycLC\nAp07d9aYT3FtSk9PR0hIiFZ1EVVXL8bAPXr00JhP8T6Sy+VSzEJUGQoKChAUFASgeFY8TWt1Wlpa\nSp8NjJuJ6GV0GTe3b99eevhSHcXnbXBwMHJycrSqi15tjJtJV27evCmdT+WNm+3s7FRmPnyR4n4/\nMTFR6xkj9IUrp1OVcPfuXQDFgUhJ0yC4uLhIv5f36aUnT55gzpw5iIiIgFwuh729PTp37oyBAwfC\nysqqXGVT9RcdHS2NUnB1dS0xr4uLC44ePYq0tDTEx8dL09ATqZOeno5FixbhwYMHyM/Ph52dHTp0\n6IABAwaoTHVH1c+pU6ek3192bVFHLpfj/v37pdr/35+p/54SiKq2tLQ0XL9+HYB259K/yeVy/O9/\n/8Pt27eRlZWFWrVqoU2bNujfvz8aNWpU7vLp1XXr1i1MmjQJAFCvXj1MmzZNq3IU9/vNmzfX+DAf\noHpt8vDw0Ko+oupI8T6ys7Mr8cGzf7+PfH19ta4zOjoaP/74IyIjIyGEgL29Pbp06YIBAwZIy0QQ\naRIeHi59OVuae9Pz588jNjYWGRkZsLa2rogmUhWVmpqKhQsXIiwsDPn5+ahduzY6duyIAQMGwM7O\nrrKbR3pW3rg5NzcXERERpdpf8ZmqiLXbt29f5vro1fXs2TPcvn0bgG7i5oKCAqxcuRJ3795FVlYW\nbG1t0bZtWwwYMABOTk7lLp9eXdevX5dmXWjcuLG0PF9ZKe73XVxcND7Mp0hXuHfvHlq3bq1VffrA\nTmmqEp48eQIAqF+/fon5XkyPjY0tV51Xr15Vu15nzZo18cMPP2DGjBklvvHp9aY4Z4Gyn7fslKaS\nxMTE4Ouvv1bZbmZmhunTp2PevHl6Xy+dKsfjx4+lNYycnZ1LHEmoSXJyMnJzcwFU7GcqvXoWLVok\nnQuKaVzLo6CgAJ988onKdkNDQ7z77rtYtWpViSMMqGo4f/48Vq1aBQDIzMxEdHQ0QkNDIZPJ4OXl\nhY0bN6JmzZpalV0Z9/tE1U1lvI+CgoKkka4vqlWrFubOnYuPP/64XOVT9VaeuFkXnQNUfUVEROCb\nb75R2W5hYYHPPvsMs2fPLvEhOKq67t+/L02l3aZNG606YuLj46Xpbst6bWKndPWyYMEC6eEpXcTN\n2dnZ+PTTT1W2GxkZYeLEiVi+fDkHw1UD/v7+WL9+PQAgIyMDUVFRePDgAQwMDDBo0CBs2LBB64c3\nq0PczE9fqhIUI05f9mY1NTWFkZERCgsLkZmZqXV9Li4u8PT0RJMmTeDo6Ijnz58jKCgIf//9N9LS\n0vDZZ58hPDwca9as0boOqt4U5yzw8vP2xfTynLdU/TVs2BBeXl5wdnaGk5MTcnJycP36dezYsQPP\nnz/H4sWLcfv2bRw8eJABdjVTWFiI8ePHS9OBLVq0CAYGZV+FhdcmAoDAwEAsW7YMANCsWTNMmTKl\nXOXVqVMH3t7eaNmyJRo2bIiioiLcuXMHO3bsQHx8PDZv3oyQkBCcP3+eo5qquKioKOzZs0dle+/e\nvTFr1qwSZzR6GcV1htcmIu2VNm7W1fuoVatW8PT0ROPGjVGvXj2kpaUhMDAQu3fvRmpqKv773//i\n0aNHWL58udZ1UPXGe1PSh8aNG6Nv375S3JydnY2rV69ix44dyMjIwLx583Dnzh3s2bNHq5iKXl15\neXkYN24c8vPzAQBLlizRqhxemwgATp8+jdWrVwMoHiU9ceLEcpVnb28PLy8vKW4uKCjA7du3sX37\ndiQmJuK3335DSEgIzp49y9lmqrhHjx6pjZv79++P7777Dg4ODlqVm52dLT0wU5WvTfzGmqoExc1E\naTpZjI2NUVhYiLy8PK3q2rp1K5o2baqy/cMPP8SPP/4IHx8fhIaGYu3atfD29saQIUO0qoeqN8U5\nC7z8vDUxMZF+1/a8pervxx9/xKZNm9TO0DB37lz4+fkhICAAR48exapVq/D5559XQitJXz755BNp\n3ZiJEydqPc0mr00UExMDX19fFBQUwNjYGDt27ICpqanW5U2YMAFfffWV2hka5s6di/feew87d+7E\nzZs38eWXX2Lt2rXlaT5Vsu7du0sjT3JychAWFoZdu3bh5MmTOHnyJGbMmIFly5aV+QvewsJCKbjm\ntYlIe6WNm42MjCCTySCE0Pp99Ndff6mNmz/66CPMnj0bPj4+CA8Px4oVK+Dt7Q1vb2+t6qHqjfem\npGsLFy5Eo0aNVOLm999/Hz/99BOGDx+OixcvYv/+/Vi7di1nc6hmPvjgAwQHBwMApk2bpvVnD69N\nFBERgZEjR6KoqAhmZmbYuXNnuWYlnDJlCn788Ue159O8efMwbtw47N27F1evXsX333+PFStWlKf5\nVMm8vLykuDk7Oxv379/Hzp07ceTIERw5cgTfffcd5s6dW+ZZeKvLtYmPg1GVYGFhAaB0byDFVJTa\nPlGkLrB+Me3gwYPSm1oxyojo3xTnLPDy81Yx8hHQ/ryl6q9x48Yab1Zq166NAwcOSGtKczRK9bJg\nwQJpZo7u3buXa5YOXpteb8nJyfD29kZCQgJkMhk2bdqETp06latMJycnjcG5hYUF/vjjD7Rt2xYA\n8Pvvv+P58+flqo8qV8OGDeHn5wc/Pz+8++67mDt3Lu7du4f//ve/AICVK1di8eLFZS7XyMhIOo94\nbSLSXmnj5ry8PAghAOgnbm7RogX2798vfVnGuJk04b0p6VpJcbO9vT0OHjyIWrVqAeC1qbr59ttv\npeWuvL29y/X68tr0ektISIC3tzeSkpJgYGCgFNNqq0GDBho7ES0tLbFjxw5pDeB169YhOzu7XPVR\n5WratKkUN48bNw4LFizA/fv3MWnSJADA/Pnz8euvv5a53BevMVX52sROaaoSbGxsAABpaWkl5ktP\nT5eCa32tW9isWTN4eXkBKF4/68UnVIgUFOcs8PLz9sUv6LneJmnLxsYGY8aMAQDExcUhLCyskltE\nurBmzRp89913AICOHTvi0KFDMDMz07o8XpteX+np6ejXrx9CQ0MBAKtXr5auGfpkZGSEDz74AEDx\nutOBgYF6r5MqlpGREVatWoVWrVoBAJYuXSqNei6L0t7v89pEpNmr9D5q1aoVevbsCQA4d+6cVtcF\nqv54b0oVzc7ODiNHjgQAREZGIjo6upJbRLqwePFi/PzzzwCArl27Yu/eveUa1cpr0+srNTUVXl5e\nePjwIWQyGdavXw8/Pz+912tiYoLJkycDKB5wd+nSJb3XSRXLxMQE69atQ5MmTQBAq4e5jY2Npe8E\nq/K1iZ3SVCU4OzsDKO5oKSws1JgvKipK+r1Zs2Z6a0/Lli0BFE81+OzZM73VQ1XXi+ffi+elOop0\nmUwmnetE2lBcmwAgPj6+EltCurB161Zp9KGbmxuOHz9e7htJGxsb1K5dG0Dpr02Afj9TSf+ys7Mx\ncOBAXL16FUDxtIYVOVUhr03Vn4GBAXx8fAAUj8h/9OhRmctQ3APx2kSkPcX7KCYmRnpYW52Kjpvz\n8vKQmpqqt3qo6nox/i3t9d/Y2BiNGjXSa7uoeuO9afWydu1afPXVVwCKH+Q+cuSI0khnbTg6Okpl\n8N709ZGZmYn+/fvj1q1bAIAVK1ZIHcUVgdem6s/Y2Bj9+/cHUHy/rs3rXB3iZnZKU5WgmCKjsLAQ\nt2/f1pjv+vXr0u9t2rTRW3tenB7hxfn5iRRsbGzQoEEDAEBISEiJeRXnbePGjWFlZaX3tlH1xWtT\n9fHXX39h0qRJEEKgRYsWOHnyJOzs7HRStuLzsbTXJmNjY6XgiKqWvLw8DBkyBBcuXAAAzJ49W/rS\npiLboMBrU/X14kMz2swkpLjfj4yMLHGa94q63yeqihTvo5ycHNy/f19jPsbN9KpwcnKSplIu7b2p\ni4vLS9dRJCoJr03Vx+bNm6WHbdu2bYsTJ04ojXLWlkwmQ+vWrQGU/tpkZWUljYCkqicnJwcDBw7E\n5cuXARQvo/bJJ59UaBt4bXo96CpuDg0NlZaxVedVjpvZKU1VguIJEgD4559/NOY7evQogOK1PxRT\nhemD4ovdmjVr6qyTgKofxXkbHByscUT906dPcePGDQDAgAEDKqppVE0prk0ymazEdf7o1Xb48GGM\nHTsWRUTxAwYAADEQSURBVEVFaNq0KU6fPg17e3udla+4NiUmJuLatWtq8xQUFODUqVMAAE9Pz3JN\nGU6Vp6CgAG+//TZOnjwJAPjyyy/x448/Vng7FNcm4NV7Qpd058GDBwCKP4McHR3LvL/i2iSXy3Hs\n2DGN+RT3+87OzmjRooUWLSWqvsoaN9eoUQNvvfWW3tqjWLKhbt26sLa21ls9VLUpztsLFy4gPT1d\nbZ7IyEjpc4ZxM5WX4t7U0NCQnYhV2F9//YXJkydDCAEXFxf4+/vD1tZWZ+Urrk0RERHS9effsrOz\nce7cOQDF61gbGLCrpSrKz8/HsGHDpNfyhx9+wDfffFPh7WDc/HpQXE+MjIy0+q5PcW3Kz8+XvrdT\nRxFTu7u7axWf6xOvlFQltGnTBu3btwcArFu3DpmZmSp5Hj16hH379gEAfH19yz1Viya7du2SOhF9\nfHx4w0EajRs3DkBxp8CqVavU5lmxYoU0Jf27775bYW2j6ufKlSvSNdDDw0OnnZhUcU6dOgU/Pz8U\nFBSgYcOGOH36NOrXr6/TOkaNGiU9dbtkyRK1eTZv3iw9TKO4llHVIpfLMXbsWBw6dAgAMH36dCxa\ntKjC2xEVFYW1a9cCABwcHNClS5cKbwPpX0REBPbs2QOg+DNIMeqtLPr164e6desCAJYvX652/dkz\nZ85ID9Pw2kSkqnPnznB1dQUA/Prrr8jJyVHJExoaiiNHjgAARo4cqbeROFu2bEFoaCgAYPDgwXqp\ng6oHxfU8Ozsba9asUZtn6dKlEEJAJpNh7NixFdk8qmbOnz8vXQO7deuGmjVrVm6DSCuHDh2SHuRu\n1qwZTp06Jd1H6sqYMWNgaGgIQHPcvH79eulhGt6bVk2FhYUYOXIkjh8/DgD44osvMGfOnApvx6NH\nj7Bx40YAQMOGDdGuXbsKbwPp371796TPoJ49e2o1AGTw4MHSjBBLly5Vm+fQoUPSrEmv5LVJEFUR\nx44dEwAEADFo0CDx/PlzKS06Olq4u7sLAMLMzEw8evRIbRnffPON8PX1Fb6+vmrTd+zYIXbt2qVU\ntkJubq5YtWqVMDMzEwCEubm5CAsL083BUaX77bffpPPrzJkzL83/6NEj6VzauHGjxnyDBg0SAISx\nsbHYvn27UtrWrVuFkZGRACCGDx9e3kOgV0jr1q0FAOHu7l6q/KtWrZLOp/j4eJX0EydOiP/7v/8T\niYmJKmlFRUVi+/btwtbWVgAQBgYG4vTp0+U9BKoEgYGBwtLSUgAQjo6O4uHDh2UuIysrSzqX5s2b\npzHfp59+Kl3zFi1aJIqKiqQ0f39/UaNGDQFAtGvXTimNqga5XC4mTZokvcZTpkzRqpxdu3ZJ51NI\nSIhK+vXr18Xq1atFVFSU2v1PnDghGjVqJLWjpM9LenX9+uuv4ujRoyIvL08lTS6Xi3/++UfpdT5x\n4oTaciZOnCh8fX3Ff//73xLrUpTz4YcfKtV58+ZN4eTkJAAIe3t7kZ6eXv6DI6qGDhw4IL2PfH19\nRUZGhpQWGRkpWrVqJQAICwsLER0drbaMmTNnCl9fXzF69Gi16X/88YfYvXu3UtkKOTk5YunSpcLE\nxEQAEFZWVuLx48e6OTiqdCtWrJDOr+Dg4Jfmv3PnjnQvsW3bNo35evXqJX2fs3fvXmm7XC4X69at\nEzKZTAAQ48aN08lx0KvB2dlZABAeHh6lyr906VLpfEpOTlZJP3LkiNiyZYtISkpSSSssLBRbtmwR\nNjY2AoAwNDQUgYGB5T4GqngnT54UpqamAoBo3Lixxs+ykiQnJ0vn0tKlSzXme//99wUAIZPJxOrV\nq4VcLpfSDh06JCwsLAQA8eabb2p1LFS5ioqKxDvvvCN9rk2fPl2rcrZt2yadT3fu3FFJv3z5sliz\nZo2IiYlRu/+RI0ekOAdAiZ+X9OpauXKl8Pf3F/n5+SppRUVFYv/+/cLR0VH67vbChQtqyxk9erTw\n9fUVM2fO1FjXokWLpPNl5syZSnVeuXJF2NvbCwCiYcOGIicnp/wHp2MyIYTQT3c3ke7NmTNHmnbS\nxsYGHh4eyMvLQ1BQEPLz82FgYIAdO3ZgxIgRavd/4403pLUh1J36U6dOxfr162FsbIyGDRvCwcEB\ndnZ2eP78OUJCQqSn36ytrbFr1y6l6dGoapk9ezbu3r0r/f/x48fSyJvu3bujTp06UpqXlxc++OAD\npf2vXr2Kzp07AwA+/vhj/PLLL2rrSU5ORteuXaWpOVxdXeHs7Izw8HClbYGBgVqNKqLK9/jxY8yc\nOVNpm7+/P9LT02FjY4M+ffoopf3vf/9TmTZl7Nix+PPPPwEA4eHhKtP0LF26FF988QUMDAzQoEED\nODg4oG7dusjJycGNGzeQlJQEoHjt319//RXvv/++rg+TKkCdOnWk17Jjx45o3Lhxifn9/PwwatQo\npW1paWnStcTb21vjFLh5eXnw8vKSpqdq1KgR3Nzc8OTJE2k2kLp16yIoKIhTwVdBf/75pzSKyNjY\nGIMGDYJMJitxn02bNqlMrfrjjz9KT4kfPXoU/fr1U0rfv38/hg0bBqB4TUgHBwfY29ujsLAQd+/e\nRWxsLIDi6Zy//fZbzJs3TyfHRxWrZ8+eCAgIgIWFBRo0aAB7e3vY2toiPT0dd+7cQWJiIoDi6cf+\n97//4cMPP1RbTu3atZGcnAxnZ2c8fPhQY33vvvsutm3bBgCwt7dHhw4dkJaWhsuXL0Mul8Pc3Byn\nTp3Cf/7zH90fLFE18c0332DhwoUAipec8vDwQE5ODoKCglBQUABDQ0Ps2bMHQ4YMUbt/u3btcPPm\nTZiamqpdq27ChAnYsmULTExMlOLm1NRUXL9+XZrZzMbGBnv27EHv3r31d7CkV1999RUePXok/f/h\nw4e4efMmgOIlXl6MYQcPHqwyGufs2bPo1auXVJbivPy3p0+f4j//+Q8eP34MAHBzc0OjRo1w//59\nqf527drh/PnzsLKy0tnxUcUJDw9XmQ732LFjyMrKgq2trXSeKKxdu1bpexmgOP5RzMwSExMDJycn\npfR58+Zh1qxZMDQ0VIqbs7KycOPGDSQnJwMoXqv1t99+ezVHj1GJ5HI5atSogaysLABAly5d0KBB\ngxL3GTt2LIYOHaq0LTY2VtrP19cXu3fvVrtvdnY2evXqhStXrgAAmjZtCldXV0RHR+P27dsAiuOg\noKAglfORXn2///47Jk+eDAAwNTWFj4/PS/fZtm2byujWr7/+WpqV7MyZMypLiu7cuROjR48GAOna\nZG9vj4KCAty+fRtxcXEAiuPmOXPmYNasWeU9NKoEnTp1wrVr12BpaSm9zjY2NkhPT8etW7eUPoM2\nbNiA8ePHqy3HzMwMeXl5cHd3l76f+ze5XI63334be/fuBQDUq1cP7du3R1JSEoKDgyGEgLW1NQIC\nAqTZh18pldsnTlR227dvl56mfPGnQ4cO4vz58yXu6+HhIeVXJyAgQIwdO1bUqVNHpXwAwtraWkye\nPFlERkbq4cioIvXo0UPta6zuR90Is+DgYCn9448/LrGutLQ0MXnyZGFubq5UroWFhfjggw/Ujsyn\nqiMkJKTU5xIAERoaqlLGmDFjpPTw8HCV9Fu3bokPPvhANGzYUG2Zpqam4u2331Y7kpGqDsXT3qX9\n+e6771TKSE1NldK9vb1LrC83N1d88803ombNmkrlGhsbC19fX/HkyRN9HSrp2dq1a8t0LgEQz549\nUyln9uzZUvrRo0dV0qOjo8WMGTOEi4uL2jKNjIyEl5cXZ2+o4nbv3i2GDx8ujSz694+FhYUYNWqU\nuHHjRonl2NnZCQDC2dm5xHxyuVysWLFCODg4KNUjk8mEp6enuHfvni4Pj6ja2rp1q2jcuLHKe7ZL\nly4iKCioxH0Vs5CZmpqqTT916pQYPXq0qF27ttrrgo2NjZgyZYpWo9fo1dKxY8dS30t8/vnnKvuf\nOXNGSv/qq69KrCspKUmMGzdO5Z7YyspKTJs2TWRmZurrMKkCBAUFleneVN33br6+vlK6uhGH169f\nF++9957SiMMXf8zNzcWoUaPE7du3K+CISR8KCgrKHOf8/PPPKuXExMRI6Zpm01TIzs4Wn332mbC2\ntlYq18TERIwePVokJCTo63BJz16c/aO0P+pmifnqq6+kdHWzb0ZERIjp06eL5s2ba4ybBwwYIM6d\nO1cBR036sn37djFkyBCVa8WL9zPvvvvuS+NZxX3Qy2bfLCwsFAsXLlTpxzIwMBD9+vVT+/3yq4Ij\npanKunfvHqKjo2FoaIhmzZqhSZMmL93nzJkz0lMpfn5+GvMJIRAdHY34+HgkJibCzMwM9evXh6ur\nK9eQriYCAgKk9VJfxtnZWeWpotTUVJw6dQoA0KxZs1Kt9ZGZmSk9GWVnZ4e2bdvyKe9q4Pnz5/D3\n9y91fm9vb5XRiMHBwYiKigIA9O/fH5aWlhr3j4uLw5MnT5CQkAAjIyPY29ujdevWelsPkCrOvn37\nUFRUVOr8rq6uaN26tdK2goICHDhwAEDx+r1vvfXWS8vJy8vDzZs3kZCQABsbG7i5ucHW1rZsjadX\nSkREBK5fv16mfQYPHqxyHbl37x7u3bsHoHjNvZLWqn/27BliY2MRHx8PIQTq1KkDNzc3WFhYlP0A\n6JVUVFSEqKgoxMfHIykpCebm5qhXrx5cXV1hZGT00v0PHTqEvLw8WFlZqYy6V0cul+PWrVt48uQJ\nLCws4OLignr16uniUIheG0II3L17FzExMTA2Nkbz5s3RqFGjl+538uRJpKWlwdDQUJoRQx25XC7F\nzc+ePYOZmRmcnJzg4uLCuLmaOH36NFJSUkqVt2XLlmjTpo3StmfPniEgIAAA4OLiAjc3t5eW8/z5\nc9y5cwcpKSmoXbs23N3deT9RDaSkpOD06dOlzj9gwACV1/3SpUvSTDwDBw6Eubm5xv2fPHkixc3G\nxsZwcHBA69atYWxsrN0B0CtBCCGNli+tNm3aoGXLlkrbcnJypHVdnZyc8MYbb7y0nNzcXNy8eROJ\niYmoVasW3NzcuCZ5Fffw4UONI1E1GTZsmLTWuMKdO3ek9Xt79OihMsvDixITExEbG4unT58CgBQ3\nl3Q9o6qlsLBQipuTk5NhYWEBR0dHuLi4qJw76ii+G6xZs6bK7Jua6rt16xbi4uJgZWUFV1fXEr+7\neRWwU5qIiIiIiIiIiIiIiIiIiPSGj64SEREREREREREREREREZHesFOaiIiIiIiIiIiIiIiIiIj0\nhp3SRERERERERERERERERESkN+yUJiIiIiIiIiIiIiIiIiIivWGnNBERERERERERERERERER6Q07\npYmIiIiIiIiIiIiIiIiISG/YKU1ERERERERERERERERERHrDTmkiIiIiIiIiIiIiIiIiItIbdkoT\nEREREREREREREREREZHesFOaiIiIiIiIiIiIiIiIiIj0hp3SRERERERERERERERERESkN+yUJiIi\nIiIiIiIiIiIiIiIivWGnNBERERERERERERERERER6Q07pYmIiIiIiIiIiIiIiIiISG/YKU1ERERE\nRERERERERERERHpjVNkNICIiIqJXx82bN7Fv3z48ePAAKSkpcHJyQr9+/eDr6wsDAz7PSERERERE\nRK+369evY//+/QgLC0NqaioaNGiAgQMHYujQoZDJZJXdPCKiV5ZMCCEquxFEREREVPnGjBmD7du3\nq03r0aMHDh8+DCsrqwpuFREREREREdGrwdfXF3v37lWb1rdvXxw4cADm5uYV3CoioqqBndJERERE\nBKA4gE5KSsKwYcPQvHlzWFtb49KlS1i5ciWysrLwxRdfYPHixZXdTCIiIiIiIqJK0a1bN+Tk5GDI\nkCFo3rw5rKysEBgYiFWrViEnJwezZs3CTz/9VNnNJCJ6JbFTmoiIiIgAAImJiahbt67K9n379mH4\n8OFo3bo17ty5UwktIyIiIiIiIqp8muLmHTt24J133kHHjh1x9erVSmgZEdGrjwsDEhERVaDly5ej\nT58+mDp1amU3pcp5/Pgx+vTpgz59+uDmzZuV3ZxqSV1gDQD9+/cHAMjl8opsDhERERERvYYWLlyI\nPn36YPr06ZXdlConLCxMiptDQ0MruznVkqa4ecCAAQAYNxMRlcSoshtARERUlaxatQqHDh1S2W5o\naAgbGxs0b94cnp6e8PT0hEwmU8l37949nDp1CklJSRXR3GolMzMTp06dAgCkpqZWcmteL9euXQMA\n9OnTp5JbQkREREREr7olS5bg+PHjKtuNjIykuLlPnz7o2bOn2v3v3LmDU6dOITMzU88trX7S09Ol\nuPn58+eV3JrXi2J0NONmIiLN2ClNRERUBqGhoVKAp8mCBQvQvn17bN++HS4uLhXUMiL9yMrKwkcf\nfYTatWvj22+/rezmEBERERHRK+7u3bsvjZvnz5+Pzp07Y/v27WjWrFkFtYxIP9LT0zFt2jQ4ODjg\nyy+/rOzmEBG9stgpTUREpKX9+/fD0tISAFBUVITo6Ghs27YN586dQ0hICDw9PXHt2jXUq1evklta\nPTRp0gT+/v4AAHd390puzeshNzcXfn5+CAsLw9GjR+Hg4FDZTSIiIiIioirkn3/+gbGxMQCgsLAQ\n0dHR2LJlCy5evIjg4GApbq5Tp04lt7R6aNmypRQ3t2rVqpJb83rIzs7GsGHDEB0djRMnTqB27dqV\n3SQiolcWO6WJiIi01KNHD9SsWVNp2+TJk/Hhhx9i/fr1iI+Px/z58/HLL79UTgOrGUtLS06DVYEy\nMzMxePBgXLp0CQcPHtQ4tR4REREREZEmvXr1gpmZmdK2999/H5MmTcLmzZsRExODRYsWYenSpZXU\nwurF2tqacXMFev78OXx8fBASEoIjR47gzTffrOwmERG90gwquwFERETViUwmw5IlS2BhYQEA2Ldv\nXyW3iKjskpKS0KtXL1y+fBmHDh1C3759K7tJRERERERUTchkMixfvhwmJiYAgL1791Zyi4jKLiEh\nAT179sSNGzdw9OhR9OjRo7KbRET0yuNIaSIiIh2ztrZGu3btcPHiRcTFxSEzMxNWVlal3v/WrVs4\nceIEIiMjERcXB7lcjnr16qFr167w8/ODubm5xn0HDRqEnJwcTJw4EWPGjEF2djb++OMPBAYGIiUl\nBQ0aNMDQoUPh7e390nbI5XKcOHEC/v7+iIqKQm5uLurWrYu33noLI0aMKNMxqXPjxg3s378f9+7d\nQ0ZGBmxtbVGvXj20a9cOQ4YMgbW1tVL+x48fY/LkyQCAZcuWKU3h/f777yMyMrJU9b7xxhuYN2+e\n2rTLly/jyJEjCAsLQ3p6OmxtbdG5c2eMGDFC62nYExISMGbMGADF66Z5eHiozffo0SNMmTIFALBy\n5Uq4ubkppSuedv/oo48wfPhwpKSkYNOmTbh27Rpyc3PRunVrfPTRRyrtvHTpEnbu3InIyEhYWFig\nV69emDBhgvQF0L/FxMTAy8sLMTExOHLkCEdIExERERGRztWqVQtubm64fv06IiMjUVBQIE3z/TJC\nCNy4cQMnT56U4mYhBBwdHdGtWzcMHz5cZXT2i7y9vVFUVIQpU6bg7bffRmZmJrZu3YqgoCCkpqai\nUaNGGDZsWKlGHMvlchw7dgz+/v6Ijo5GXl4e7O3t0a1bN4wYMUJ6YF1b165dw4EDB3D//n1kZGTA\nzs4O9erVQ/v27TF48GCVuDwsLAwfffQRAGD16tVwdXWV0saPH48nT56Uqt7u3bvjhx9+UJsWFBSE\nI0eOIDw8XGpTly5dMGLECNjb22t1nDExMZg4cSIAYMmSJWjfvr3afKGhoZg2bRoAYM2aNWjRooWU\nVlBQgP79+wMAZsyYAR8fHyQlJWHTpk24fv068vPz4ebmho8//hh169ZVKjcwMBB//fUXIiMjYWVl\nhd69e2P8+PEwMlLfffL48WP07dsXiYmJOH78OEdIExGVliAiIqJSmzJligAgAIjU1FSN+by8vKR8\niYmJ0vb33ntPABDu7u4q++Tk5AgnJydpP3U/9vb24vTp0xrrtbS0FADE3Llzxb1790STJk3UljN6\n9GhRUFCgsZzr168LNzc3je2oXbu2OHToUKn+Zv+Wn58vJkyYUOJxmpmZiRMnTijtd/v2bSn9zJkz\nSmmtW7cusbwXfwYOHKjSpri4ONG3b1+N+5ibm4sVK1ZodbyRkZFSOSX9zUJCQqR858+fV0lXpK1Y\nsUIEBgYKOzs7lXZaWlqKgIAAIYQQhYWFYtKkSWqPp0OHDmrP37CwMNGwYUNhbW2ttg1EREREREQv\nM378eCn2yMnJ0Zive/fuUr709HRp+5gxYwQA4eHhobLP8+fPhaOjY4kxn6OjY4nxjKGhoQAglixZ\nIm7evCkaNGigtpwJEyaIoqIijeVcvnxZuLq6lhi/Hz9+vJR/NWW5ubninXfeKfE4zc3NpfhPITg4\nWEoPCgpSSnN2di513Ozr66vSpujoaNGzZ0+N+1hYWIhff/1Vq+MNDQ2VyvH399eYLygoSMoXHBys\nlJaTkyOlrV27Vpw9e1bUrFlTpZ3W1tbS3yY/P1+MHTtW7fF4eHgonZcKd+/eFY6OjsLGxkZcunRJ\nq+MlInpdcaQ0ERGRHjx+/BgAYGhoiFq1apVqn8LCQsTFxaFr167o06cPnJyc4ODggOTkZNy4cQMb\nNmxAQkICBg4ciKtXr6JVq1Yay0pJSYGXlxcsLS2xfPlytGjRAsnJyVi3bh2CgoKwY8cOtGvXDl9+\n+aXKvpcvX0bv3r2RlZWFOnXqYNKkSejcuTPMzc3x4MEDrF27FuHh4RgyZAiOHz9e5vWq5syZg82b\nNwMofkJ92LBhcHR0RG5uLmJjY3Hz5k3s378fycnJpS5z48aNyMzM1Jh+9uxZzJ8/HwDg6OiolBYf\nHw8PDw/ExMTA3Nwc48aNk9YLj4mJwZYtW3Dx4kV8+umnkMvl+Oyzz8p0vLr25MkT+Pj4oFmzZpg/\nfz4aNGiA8PBwLFy4EE+fPsXQoUMRGRmJ7777Dn/88Qc+/PBD9OnTBwYGBti3bx+2bt2K69evY8aM\nGdLroPDOO+8gOjoaTk5O+P7771XqNjExwYkTJyroSImIiIiIqDpTxM1mZmYqM2Vpkp+fj6dPn6J7\n9+7w9PRE/fr14eDggKSkJFy/fh2//fYb4uLi0K9fP9y4cQPNmjXTWFZiYiK8vb1ha2uLlStXolmz\nZnj27BnWrl2LK1euYPPmzWjfvj2mT5+usu/58+fh7e2NnJwcODg4YNKkSejYsSNMTU0RGhqKtWvX\nIiIiAgMHDsSpU6fQvXv3Mv1tvvvuO2zfvh0AMHDgQAwePBj16tVDTk4OYmNjpZnHUlJSSl3m1q1b\nkZ2drTH9xIkTWLJkCQDVuDkmJgYeHh6Ij4+HpaUlxo8fj27dusHGxgZRUVHYtGkTrly5go8//hgA\npNHalSUqKgpffvkl3NzcMHHiRNSvXx/379/HwoUL8ezZMwwePBiRkZH45JNP8Pfff2PatGno1asX\nAODvv//Gjh07cPnyZXzxxRdYt26dUtkjR45EXFwcGjZsiK+++kqlbisrKxw+fLhCjpOIqMqp7F5x\nIiKiqqQ0I6UvXrwo5XnjjTeU0koaKV1YWCji4uI01h0dHS2NfB4+fLjaPIqR0iYmJsLLy0vk5uYq\npefn54suXboIAMLBwUEUFhYqpefk5IiGDRsKAKJLly4iKSlJpY6srCzRq1cvAUA0bNiwxBHX6jg4\nOAgAYvz48Rrz5ObmiuTkZKVtJY2ULsmDBw+Era2tACDatm0rMjIylNIVo9odHR1FaGioyv5yuVxM\nnTpV+rvGxMSUum4hdD9S2sTERIwcOVLlif27d+8KIyMjAUD4+fkJExMTtX+n999/XwAQRkZGIiEh\nQSntZSPOTU1Ny3TsRERERET0+inNSOnTp09LeXr27KmUVtJI6fz8fJU45kWRkZHSyOd33nlHbR7F\nSGkTExPh4+Mj8vLylNJzc3NFu3btBADRoEEDIZfLldIzMzOl0dpdu3YVKSkpKnVkZGSIrl27CgCi\nWbNmJY64VqdWrVoCgJg6darGPDk5OSrfS5Q0Urokd+7cETVq1BAARKdOnURWVpZSumJUe8OGDUV4\neLjK/kVFRWLixIkCKJ75rKTXSB1dj5Q2MTER48aNU3ntQkJChIGBgQAg3n77bWFmZiYCAwNV6hk3\nbpwUA//7b/yyEec2NjZlOnYioteJgS46tomIiKjYpUuXMGrUKOn/irWOSsPQ0LDEdYsbNGggrYV8\n8OBB5OTkaMwrk8mwZcsWmJqaKm03NjaWRkc/ffoUt2/fVkrfsmULoqOjYWRkhJ07d8LOzk6lbAsL\nC2zcuBEymQzR0dE4evRoqY+xsLAQT58+BQD07t1bYz5TU1PY2tqWulxNUlJS4OPjg5SUFDg4OODw\n4cNKa25dvnxZGvm7fv16uLi4qJQhk8mwYsUK2NvbIz8/H5s2bSp3u8rDzMwMGzZsgIGB8m1cq1at\n0LdvXwDA7t278dFHH6ldD3rGjBkAil+Lc+fOKaVt2rQJZ86c0fjDUdJERERERFReFy5cwNixY6X/\nlyVuNjY2VlkP+EWNGzfGjz/+CADYu3cvCgoKSixr8+bNMDExUdpuamqKmTNnAigeIfzgwQOl9I0b\nNyIuLg6mpqbYuXOn2tnRrKyssHHjRgDAw4cPcerUqVIdHwBkZmYiNTUVAODp6akxn5mZGWrWrFnq\ncjVJTEyEj48P0tPT4eTkhIMHDyqthR0QECDFjr///rva0ecGBgZYvXo1bG1tkZubiy1btpS7XeVh\nbW2NNWvWQCaTKW1v164devToAaB4RPSMGTPUrgf9ySefAADy8vJw4cIFpbQ///yzxLiZo6SJiDTj\n9N1ERERaGjp0KIyMij9K5XI5YmJi8PDhQyl98uTJeOedd3Ra51tvvQWguEPx9u3b6NKli9p8Xl5e\ncHBwUJvm4eEh/R4WFoZ27dpJ/9+/fz8AoFu3bmjSpInGdjRt2hQuLi4IDQ1FYGAgBg0aVKr2GxkZ\nwdHREXFxcdi2bRv8/Pxgbm5eqn3LKj8/H8OHD0d4eDjMzc1x8OBBNGjQQCmP4njt7OwwYMAAjWWZ\nmZnB09MTO3bsQGBgoF7aW1o+Pj6oUaOG2rT27dtLDwloOvdcXV1hZmaG3NxchIWFKaV17txZt40l\nIiIiIqLX2oABA6QHaouKihAdHY2IiAgp/b///S+GDx+u0zoVcXNubi5CQ0PRtm1bjW1T9yA2oBo3\nv/gAsyKO9PT0hJOTk8Z2uLi4oEmTJoiMjERgYKD0EPHLWFlZwdbWFikpKdi6dSsGDx6s8sC5ruTm\n5mLo0KF4/PixNO30vx+WVxyvo6Njict3WVpaokePHti3bx8CAwPxxRdf6KXNpTFkyBBYWlqqTWvf\nvj3OnDkDQHPc3LZtWxgaGqKoqEglbn7x3CAiorJhpzQREZGWAgICVLbJZDJ06NABn376KcaMGaNV\nuYmJiTh48CBCQkIQFxeHrKwsyOVyAFB6yjsxMVFjGSWtN127dm3p9/T0dKW069evAygOuvv16wcA\nEEIo/av4PT4+HgCkf0tr3LhxWLhwIU6cOIFGjRph+PDh6NWrF9566y3Ur1+/TGWVZMqUKQgICIBM\nJsMff/yhtsNVcbwFBQVSp/S/j1Pxr+Lp+LIer66V9Nq+OLpcUz6ZTIaaNWvi6dOnKq8/ERERERGR\nLik6/14kk8nQqVMnzJw5EyNGjNCq3KdPn+LgwYO4ceMG4uPjleLmvLw8KZ8+4+Y7d+68NG5OTk4G\noF3cvHLlShw+fFglbi5phrWymjhxIoKCgmBgYIAdO3bA3d1dJY/ieLOzs1WO98XfhRC4d+8egKoT\nN7u6uqrNY2RkBGtra6SlpTFuJiLSIXZKExERaWn//v3Sk7eGhoaoUaMGnJ2dyzV91k8//YQFCxYo\nBdGaZGVlaUx7cYrqf1OM7gaKR1y/KCUlBQDw5MkTPHny5KVtAIoD07KYPXs2oqKisGPHDjx79gzr\n16/H+vXrAQDNmzfHiBEjMH369BKnZHuZBQsWYPPmzdLvvr6+avMpviBIT0/H8ePHS1V2WY9X1zQ9\n7Q0Un4dlyffv15+IiIiIiEiX/vnnHxgbGwMojkNsbGzg7OwMGxsbrcoTQmDWrFlYsmQJ8vPzX5pf\n13FzQUGB1EkZExODmJiY0jS7zHHk/PnzERMTgz179iAhIQFr167F2rVrAQAtW7bEyJEjMW3aNKXO\n87L64YcfsHPnTgDAsmXL4OPjozafIm5OS0urVnGzqamp0uusKR/jZiIi3WGnNBERkZZ69Oihk/Wb\nFJYtW4bZs2cDKJ7ma/jw4WjZsiXs7OxgYmICmUyG58+fw8/PD4Dyk8m6YmRkhMLCQgwfPhwffvhh\nqfaxt7cvUx1mZmbYvn07vv32W/z99984e/Ysrly5gtzcXISHh2P+/PlYt24d/vnnH43Tk5dk9+7d\n+P777wEAEyZMwNdff60xryIAbdu2LZYtW1aq8l9cW4uIiIiIiIg069WrF8zMzHRW3oIFCzB//nwA\nQOvWrTFs2DC0aNECtra20hTXz549k6Zl1nXcbGhoCAMDA8jlcowaNQrvvfdeqfYr6+hmCwsL7N69\nGzdv3sTu3btx9uxZBAcHIy8vDw8ePMBPP/2EtWvX4vjx42jfvn2Zj+PPP//E3LlzAQBTp07FjBkz\nNOZVxM2dOnXCzz//XKryS+rwJyKi1xc7pYmIiF4BQgipU7R///44ePCg2id2FVNI64ujoyMiIiKQ\nm5tb4lpRuuDm5gY3NzcAxes/X7lyBdu2bcOGDRuQnJyMSZMm4c6dO2UqMzg4GOPGjYMQAj169MCG\nDRtKzK+YLjw5OVnvxwuU/IVIaZ7yJyIiIiIiel0VFRVhxYoVAIChQ4di9+7dSrNFKdy8eVNvbTAw\nMICDgwPi4uKQn5+v9zjS3d1dmlI7Pz8fly5dwtatW/F///d/ePbsGd5//31cvXq1TGUGBgZKnele\nXl5YvXp1ifnr16+PmzdvIiUlhXEzERGVi0FlN4CIiIiApKQkac2l8ePHa5xC6vz583ptR48ePQAA\nZ8+elabyrggmJiZ46623sG7dOkyfPh0AcPfu3RLX//q36OhoDB48GDk5OWjevDn27t0rTROnieJ4\nnzx5gkuXLml/AKVU0pTojx8/1nv9REREREREVVVcXJw0lfSECRPUdkgDFRc3nzx5skLXGzYxMUH3\n7t2xceNGfPDBBwCAa9eu4fnz56UuIyIiAkOHDkVeXh5atWqFv/76q8QprIH/f7wRERG4ceOG1u0v\nLcbNRETVFzuliYiIXgEGBv//IzkuLk5tnoyMDCxatEiv7Zg6dSqA4vWfZs6cqde6NGnYsGGZ98nI\nyMCgQYPw9OlT2Nra4vDhw7C1tX3pfmPGjIG1tTUA4NNPPy3VWt7lceLECY1pf/75p17rJiIiIiIi\nqspKEzenpaVh6dKlem2HIm5OT08vcbkofXoxbpbJZKXaJy0tDT4+PkhKSkKdOnVw+PDhUq3tPW7c\nOJibmwMAPvnkExQUFGjX6FJi3ExEVH2xU5qIiOgVYGdnh5YtWwIoXiMrKChIKf3u3bvo27ev3tdl\n6tKlC6ZMmQIA2LRpE0aNGoWIiAiVfHl5efD398dnn32GpKSkUpcfHx+Pzz//HCdPnlTbARwcHIyV\nK1cCKF4frG7dui8ts6ioCKNGjcKtW7dgbGyMPXv2oEWLFqVqj52dHRYvXgwAuHTpEjw9PdVOfSaX\ny3H58mXMnj27zFOjvWjfvn1YtGgRCgsLpW25ubn4/vvvcfDgQWlbWUaIExERERERvQ7q16+Pxo0b\nAwDmzJmjEpvdunULvXv3Rq1atfTaju7du2P8+PEAgLVr1+Ldd99FVFSUSr7c3FwcP34cn3zySZlG\nVEdFReHLL7/E6dOn1U5XffHiRfzyyy8AgI4dO6JGjRovLbOwsBBvv/02QkNDYWpqiv3796NJkyal\nao+DgwMWLFgAADh37hz69OmDkJAQlXxFRUUICgrCrFmzyjWF+o4dO7BixQoUFRVJ27Kzs/HFF18o\ndVgzbiYiqnq4pjQREdErYvHixRg6dCiSkpLw5ptvolmzZqhXrx4SEhIQFhYGR0dHHDp0CB07dtRr\nO1avXo3s7Gz88ccf2LVrF3bt2oVmzZrB0dERWVlZePr0KRITE6Wnoz/77LNSl52VlYXly5dj+fLl\nMDY2hoODAxwcHGBsbIzY2FhER0cDAKytrfHbb7+VqsyHDx/in3/+AQDUrFkT8+bNw7x58zTmf+ON\nN5TSp06dipSUFMyaNQsXL15E586d4ejoiCZNmqCwsBAJCQl4+vQpcnNzAQCdO3cu9fH+W5s2bfD1\n119j4cKFaN68OQwNDXHnzh1kZmaiR48eCA4ORnZ2Nt5//32sWbMGf//9t96/UCEiIiIiIqoqFi1a\nhFGjRiEhIQGdO3dG8+bNUa9ePcTHxyM8PBwNGzbE7t270aVLF722Y/369cjNzcWuXbuwbds2bNu2\nTWpLZmYmEhISkJCQID2QPGvWrFKXnZGRgSVLlmDJkiVS3FyvXj0YGRkhJiYGMTExAAAbGxusW7eu\nVGXevXsXJ0+eBFAcN//www8l5u/evbtSnhkzZiA1NRVz587FuXPn0KFDBzg5OaFx48YoKCjA06dP\n8fTpU+nhc8WU39po06YNPvvsM8ydOxfNmzeHTCbDnTt3kJWVhd69e+PChQvIy8vD+PHj4e7ujgMH\nDsDS0lLr+oiIqOKwU5qIiOgVMXjwYBw4cAAzZ85EWFgYHj58iIcPH8LY2Bhvv/02Vq1a9dI1knXB\n2NgYW7duhZ+fH5YvX47AwECpLQrm5ubo3bs3vL29UadOnVKX7ejoiGXLluH48eM4d+6cUkCtKHfI\nkCGYM2dOqUc7CyGk3589e4ZTp06VmN/MzExl27fffos+ffpg4cKFOH78OOLi4pSmgzM0NMSbb76J\nfv36latTes6cOTh79izWr1+P4OBgqewxY8bg119/xfLly/HTTz8hJSWlXE+WExERERERVUcjRoyA\nkZERvvzySzx69Ajh4eEIDw+HiYkJRo8ejZUrV6odXaxrpqam2LlzJ0aMGIEVK1bg0qVLUlsULCws\n4OXlBW9v71JNk63QuHFjLFmyBMePH8f58+dV4mZLS0sMGzYMc+bMQdOmTUtV5otxs6LDvCQ1a9ZU\n2TZnzhz069cPCxcuhL+/P2JjYxEbGyulGxkZoVu3bvD29ka7du1K1S51fv75Zxw5cgS///47rly5\nIpU9YcIErF69GnPnzsXixYuRlJSE27dva10PERFVPJl48ROJiIiISnT//n0p6OrZsyeMjMr2fFdo\naCiePHkCa2treHh4aMwXERGB2NhYWFtbo2nTplIAW1BQgICAAADFTw/b29sr7Xf27FkUFhaiWbNm\n0rRm/yaEkDpuXV1dUb9+/RLbnJWVhYcPHyItLQ02Njawt7dH3bp1YWhoWNrDVquwsBDx8fGIi4tD\nXl4eateujebNm2vseM/KypKmNe/YsaM0gjg7OxsXL14sdb116tSBu7u7xvSCggKEhYUhJSUFZmZm\nsLe3h729PUxNTctwdP/f48ePpWnRDh06BB8fH6Snp+P+/fsoKipCixYtYGdnJ+V/8OAB0tPT4e7u\nDhMTE2m74qn2li1bokGDBmrriomJwYMHDwAAffr00dimCxcuIDc3F40aNULz5s21Oi4iIiIiIiJ1\n7t27Jz3k6+npqbQWdGncvXsX8fHxsLGxKfGh4IcPHyIuLg41atRA06ZNpWms8/LycP78eQCAu7u7\nyoPUp0+fhlwuR4sWLZTWZn5RUVERzpw5A6B4aal69eqV2OaMjAw8evQIz58/12ncXFBQIMXNBQUF\nUtys6buIjIwMXL58GUDx8lyKv0lmZiYuXbpU6nrt7e3Rpk0bjen5+flS3GxhYSHFzS/GsGVx//59\nuLq6AgD8/f3Rp08fPH/+HA8ePJBeK1tbWyl/aGgosrKy4O7uLn2HIJfLcfr0aQAlf9cRFRWF8PBw\nGBoaolevXhrbdO7cOeTn56NJkyZwdnbW6riIiEgZO6WJiIiI9EhdpzQRERERERERFVPXKU1ERNVP\n2R5TIyIiIiIiIiIiIiIiIiIiKgN2ShMRERERERERERERERERkd6wU5qIiIiIiIiIiIiIiIiIiPSG\nndJERERERERERERERERERKQ3MiGEqOxGEBEREVVXubm5uHDhAgCgXbt2qF27diW3iIiIiIiIiOjV\nkZ2djYsXLwIAOnToAFtb20puERER6QM7pYmIiIiIiIiIiIiIiIiISG84fTcRERERERERERERERER\nEekNO6WJiIiIiIiIiIiIiIiIiEhv2ClNRERERERERERERERERER6w05pIiIiIiIiIiIiIiIiIiLS\nG3ZKExERERERERERERERERGR3rBTmoiIiIiIiIiIiIiIiIiI9Iad0kREREREREREREREREREpDfs\nlCYiIiIiIiIiIiIiIiIiIr1hpzQREREREREREREREREREekNO6WJiIiIiIiIiIiIiIiIiEhv2ClN\nRERERERERERERERERER6w05pIiIiIiIiIiIiIiIiIiLSG3ZKExERERERERERERERERGR3rBTmoiI\niIiIiIiIiIiIiIiI9Iad0kREREREREREREREREREpDfslCYiIiIiIiIiIiIiIiIiIr1hpzQRERER\nEREREREREREREekNO6WJiIiIiIiIiIiIiIiIiEhv/h/aj4UTxmdF3gAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# visualizing the results\n",
        "fig, Ax = plt.subplots(1, 2, figsize=(12, 5))\n",
        "\n",
        "Ax[0].plot(sizes, flux_PW)\n",
        "Ax[0].plot(sizes, [1 for i in sizes], \"o\")\n",
        "Ax[0].set_ylim(0.9, 1.1)\n",
        "Ax[0].set_title(\"Plane Wave flux\")\n",
        "Ax[0].set_xlabel(\"Plane size µm$^2$\")\n",
        "Ax[0].set_ylabel(\"Flux\")\n",
        "\n",
        "Ax[1].plot(sizes, flux_TFSF)\n",
        "Ax[1].plot(sizes, [s**2 for s in sizes], \"o\")\n",
        "Ax[1].set_title(\"TFSF flux\")\n",
        "Ax[1].set_xlabel(\"Plane size µm$^2$\")\n",
        "Ax[1].set_ylabel(\"Flux\")\n",
        "\n",
        "\n",
        "plt.show()"
      ],
      "id": "bc2ba0b3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As shown in the figure above, the flux of the `PlaneWave` does not vary\n",
        "with the plane size, whereas it does for the `TFSF`.\n",
        "\n",
        "Below, we illustrate the behavior of the electric field amplitude\n",
        "$|E_0|$, which exhibits the opposite trend."
      ],
      "id": "29d738d6-6f9c-418b-a994-77ed16e8f0ec"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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dHR0bp8+bJOnjwpg8Ggjh07au7c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\nrkJggg==\n"
          }
        }
      ],
      "source": [
        "fig, Ax = plt.subplots(1, 2, figsize=(12, 5))\n",
        "\n",
        "Ax[0].plot(sizes, E_PW)\n",
        "Ax[0].plot(sizes, E0_PW, \"o\")\n",
        "\n",
        "Ax[0].set_title(\"Plane Wave |E|\")\n",
        "Ax[0].set_xlabel(\"Plane size µm$^2$\")\n",
        "Ax[0].set_ylabel(\"|E| (V/µm)\")\n",
        "\n",
        "Ax[1].plot(sizes, E_TFSF)\n",
        "Ax[1].plot(sizes, E0_TFSF, \"o\")\n",
        "Ax[1].set_title(\"TFSF |E|\")\n",
        "Ax[1].set_xlabel(\"Plane size µm$^2$\")\n",
        "Ax[1].set_ylabel(\"|E| (V/µm)\")\n",
        "Ax[1].set_ylim(20, 30)\n",
        "\n",
        "plt.show()"
      ],
      "id": "de2fff1c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Custom Field Source <a name=\"normalization\"></a>\n",
        "\n",
        "The\n",
        "[`CustomFieldSource`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomFieldSource.html)\n",
        "object allows users to inject a planar field distribution directly into\n",
        "the simulation. More information on how to set up a `CustomFieldSource`\n",
        "can be found\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/latest/faq/docs/faq/how-do-i-set-a-custom-field-source.html).\n",
        "\n",
        "For this type of source, **no automatic normalization** is applied, so\n",
        "the total power is determined by the source definition.\n",
        "\n",
        "To illustrate this behavior, we will consider a simple x-polarized plane\n",
        "wave source. The fields are defined as:\n",
        "\n",
        "$E_x = E_0e^{i(kz + \\phi)}e^{-\\omega t }$\n",
        "\n",
        "$H_y = \\frac{E_0}{\\eta_0}e^{i(kz + \\phi)}e^{-\\omega t }$\n",
        "\n",
        "As a result, the total power radiated by the source is determined by the\n",
        "value of $E_0$, as discussed in the previous section."
      ],
      "id": "b1ee8d8d-2b36-45a1-b4a6-0088292e2540"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "# x and y coordinates\n",
        "x = np.linspace(-0.5, 0.5, 1001)\n",
        "y = x\n",
        "X, Y = np.meshgrid(x, y)\n",
        "\n",
        "# central wavelength and E_0 definition\n",
        "wl0 = td.C_0 / freq0\n",
        "k = 2 * np.pi / wl0\n",
        "E0 = 1\n",
        "\n",
        "# field data definition\n",
        "Ex_data = E0 * np.ones(X.shape) * np.exp(-1j * k)\n",
        "Hy_data = (E0 / td.ETA_0) * np.ones(X.shape) * np.exp(-1j * k)\n",
        "\n",
        "# FieldDataset definition\n",
        "coords = {\"x\": x, \"y\": y, \"z\": [-1], \"f\": [freq0]}\n",
        "\n",
        "Ex = td.ScalarFieldDataArray(Ex_data[..., None, None], coords=coords)\n",
        "Hy = td.ScalarFieldDataArray(Hy_data[..., None, None], coords=coords)\n",
        "\n",
        "dataset = td.FieldDataset(Ex=Ex, Hy=Hy)\n",
        "\n",
        "# creating the CustomFieldSource\n",
        "custom_src = td.CustomFieldSource(\n",
        "    source_time=source_time,\n",
        "    center=(0, 0, -1),\n",
        "    size=(1, 1, 0),\n",
        "    field_dataset=dataset,\n",
        ")"
      ],
      "id": "9ef20979"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "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\">07:21:51 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'sim_custom_source'</span> with resource_id                  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-08c5d338-eab2-4985-8adc-5475fb716f69'</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-08c5d338-eab2-4985-8adc-5475fb716f69\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-08c5d338-eab</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-08c5d338-eab2-4985-8adc-5475fb716f69\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">2-4985-8adc-5475fb716f69'</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\":\"12417c6697e144ba879bf57c22c70b55\",\"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\">07:21:52 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</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\">07:21:53 UTC </span>status = queued                                                    \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"fcd56c47fc30454fbb3841f96d207617\",\"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\">07:22:08 UTC </span>starting up solver                                                 \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\">07:22:09 UTC </span>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"594dbf9ee04c4cda9f73ab7845643d57\",\"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\">             </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span>%, exiting.                             \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>"
            ]
          }
        },
        {
          "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\">07:22:10 UTC </span>status = success                                                   \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>"
            ]
          }
        },
        {
          "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 simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-08c5d338-eab2-4985-8adc-5475fb716f69\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-08c5d338-eab</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-08c5d338-eab2-4985-8adc-5475fb716f69\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">2-4985-8adc-5475fb716f69'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"a732e7a3a63a4486a558b3a83084e1c3\",\"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\">07:22:11 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "# run the simulation with the custom source\n",
        "sim = get_sim()\n",
        "\n",
        "xz_mon = td.FieldMonitor(size=(td.inf, 0, td.inf), center=(0, 0, 0), name=\"xz_mon\", freqs=[freq0])\n",
        "\n",
        "sim_custom_source = sim.updated_copy(sources=[custom_src], monitors=list(sim.monitors) + [xz_mon])\n",
        "\n",
        "\n",
        "sim_data_custom_source = web.run(sim_custom_source, \"sim_custom_source\")"
      ],
      "id": "761a7c95"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "flux = sim_data_custom_source[\"flux_mon\"].flux\n",
        "E = np.sqrt(\n",
        "    np.abs(sim_data_custom_source[\"field_mon\"].Ex) ** 2\n",
        "    + np.abs(sim_data_custom_source[\"field_mon\"].Ey) ** 2\n",
        "    + np.abs(sim_data_custom_source[\"field_mon\"].Ez) ** 2\n",
        ")"
      ],
      "id": "dc470a14"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As we can see, no additional normalization is applied, and the total\n",
        "flux closely matches the analytical expression for the given value of\n",
        "$E_0$."
      ],
      "id": "55b6253b-ba57-46c1-bbd7-943f304a366d"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Flux:           0.00134 [W]\n",
            "Flux analytic:      0.00133 [W]\n",
            "E0:         1.00918 [V/µm]"
          ]
        }
      ],
      "source": [
        "# analytic flux\n",
        "analytic_flux = (1 / 2) * td.C_0 * 1 * td.EPSILON_0 * abs(E0) ** 2\n",
        "print(f\"Flux:\\t\\t\\t{flux[0]:.5f} [W]\")\n",
        "print(f\"Flux analytic:\\t\\t{analytic_flux:.5f} [W]\")\n",
        "print(f\"E0:\\t\\t\\t{E.max():.5f} [V/µm]\")"
      ],
      "id": "658bb64d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Monitor Placement <a name=\"normalization\"></a>\n",
        "\n",
        "When dealing with forward and backward waves, it is important to\n",
        "carefully consider the monitor type and its position, specially at\n",
        "moderate resolutions (around 10 steps per wavelength). When using a\n",
        "`DiffractionMonitor`, as demonstrated below, the error increases when\n",
        "the monitor needs to resolve forward and backward propagating fields\n",
        "with similar magnitudes.\n",
        "\n",
        "Therefore, for highly reflective structures, the correct placement of\n",
        "the `DiffractionMonitor` is **behind** the source, where the\n",
        "forward-propagating field dominates. This helps minimize errors in the\n",
        "normalization process.\n",
        "\n",
        "Here, we illustrate this issue using a plane wave incident on a\n",
        "dielectric interface at oblique incidence, varying the angle of\n",
        "incidence until the condition for total internal reflection (TIR) is\n",
        "reached."
      ],
      "id": "39ea1122-6c11-48b0-b0e7-1f5da8980f24"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [],
      "source": [
        "# medium for the dielectric interface\n",
        "medium = td.Medium(permittivity=3.5**2)\n",
        "\n",
        "# defining FluxMonitors and DiffractionMonitors for computing the flux\n",
        "structure = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-100, -100, -100), rmax=(100, 100, 0)), medium=medium\n",
        ")\n",
        "# flux monitor behind the source\n",
        "flux_mon_back = td.FluxMonitor(\n",
        "    name=\"flux_mon_back\",\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -1.5),\n",
        "    freqs=[freq0],\n",
        ")\n",
        "# flux monitor in front of the source\n",
        "flux_mon_front = td.FluxMonitor(\n",
        "    name=\"flux_mon_front\",\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -0.5),\n",
        "    freqs=[freq0],\n",
        ")\n",
        "\n",
        "# diffraction monitor behind the source\n",
        "diff_mon_back = td.DiffractionMonitor(\n",
        "    name=\"diff_mon_back\",\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -1.5),\n",
        "    freqs=[freq0],\n",
        "    normal_dir=\"-\",\n",
        ")\n",
        "# diffraction monitor in front of the source\n",
        "diff_mon_front = td.DiffractionMonitor(\n",
        "    name=\"diff_mon_front\",\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -0.5),\n",
        "    freqs=[freq0],\n",
        "    normal_dir=\"-\",\n",
        ")\n",
        "\n",
        "# normalization monitor in front of the source\n",
        "norm_monitor = td.DiffractionMonitor(\n",
        "    name=\"norm_monitor\",\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -0.5),\n",
        "    freqs=[freq0],\n",
        ")\n",
        "\n",
        "monitors = [flux_mon_back, flux_mon_front, diff_mon_back, diff_mon_front, norm_monitor]"
      ],
      "id": "885a8d84"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "# create simulations for different angles until total internal reflection\n",
        "thetas2 = [0, 5, 10, 15, 20, 25]\n",
        "\n",
        "sims_PW_ref = {}\n",
        "\n",
        "for t in thetas2:\n",
        "    sim = get_sim(\n",
        "        source_type=\"PW\",\n",
        "        theta_degree=t,\n",
        "        bloch_medium=medium,\n",
        "        pol_angle_degree=90,\n",
        "        structures=[structure],\n",
        "        min_steps_per_wvl=10,\n",
        "    )\n",
        "    sims_PW_ref[str(t)] = sim.updated_copy(monitors=monitors)\n",
        "\n",
        "batch_PW_ref = web.Batch(simulations=sims_PW_ref, folder_name=\"plane_wave_ref\")"
      ],
      "id": "a9dd1687"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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N8Hz88cfavXu3JJkTYAOFcAcQUoWFhbr77rvN/7/qqqtC2BsEQ0xMjO655x5J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\nuOIvP1GRAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# visualizing the simulation setup\n",
        "sims_PW_ref[\"20\"].plot(y=0)\n",
        "\n",
        "plt.show()"
      ],
      "id": "9f1b0d71"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"70da72c783684930b420b0a46c4f0179\",\"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\">07:22:15 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</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\">07:22:20 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.150</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\":\"b6dab94c0f0d454f982bff4c19d949f7\",\"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\">07:22:34 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": [
        "# running the batch\n",
        "batch_data_PW_ref = batch_PW_ref.run()"
      ],
      "id": "181bc4ac"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [],
      "source": [
        "# function for calculating the analytical Fresnel reflection coefficient for s-polarized light\n",
        "def fresnel_rs(n1, n2, theta_i_deg):\n",
        "    theta_i = np.radians(theta_i_deg)\n",
        "    theta_t = np.arcsin(n1 * np.sin(theta_i) / n2 + 0j)\n",
        "    r_s = (n1 * np.cos(theta_i) - n2 * np.cos(theta_t)) / (\n",
        "        n1 * np.cos(theta_i) + n2 * np.cos(theta_t)\n",
        "    )\n",
        "\n",
        "    return abs(r_s) ** 2"
      ],
      "id": "1f0ac261"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [],
      "source": [
        "# computing the reflection\n",
        "reflection_analytic = fresnel_rs(3.5, 1, thetas2)\n",
        "\n",
        "flux_front = np.array([batch_data_PW_ref[str(t)][\"flux_mon_front\"].flux for t in thetas2]).flatten()\n",
        "flux_back = np.array([batch_data_PW_ref[str(t)][\"flux_mon_back\"].flux for t in thetas2]).flatten()\n",
        "\n",
        "diff_front = np.array(\n",
        "    [batch_data_PW_ref[str(t)][\"diff_mon_front\"].power.sum() for t in thetas2]\n",
        ").flatten()\n",
        "diff_back = np.array(\n",
        "    [batch_data_PW_ref[str(t)][\"diff_mon_back\"].power.sum() for t in thetas2]\n",
        ").flatten()\n",
        "\n",
        "norm = np.array([batch_data_PW_ref[str(t)][\"norm_monitor\"].power.sum() for t in thetas2]).flatten()"
      ],
      "id": "a716d017"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As we can see, when TIR occurs, the error for the `DiffractionMonitor`\n",
        "placed in front of the source increases."
      ],
      "id": "6334b236-ea46-4714-b7f4-bc40cf4530ab"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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v9dy5c1y+fBlPT08aN26c5XVjY2M5f/68+d79/f3tEiukrmYWHR2Nv7+/uSh1\nmrNnz3LlyhW8vb2zndYWExPD2bNniY2NxTAMSpUqlWXB6oK8J0fIye8B5P0eDMPgwoULRERE4Ovr\nS5UqVcyji2zJ+LvRuHFjPD09rfaLiIgwJwqbN29uM9lnGAZnzpwhMjLSPKWvYcOG5tUknY2z/O0X\nEZGiZV8ItL6hVOiP177kjoT9OTre/Z4BeNzVrwAiEykYsXHxzF+4kqT/Ty65JyYyZP0Oc2Fwa+Ld\n3fi1ZwcS3VO/YHZzc2X0yP54eVn/96aj5CePYIuSTcVMcUg2iYhI4dHffhERyYtBH8PyfenbrZJC\n2Bwxkxx/JVzam1JzpmEq7ZxfxohYE309hm07DnDi5BmaHztNq6DT2R6zr2Et/m1Qi7p1qnNL+xb4\nlC6V7TGFrSCSTSVqGp2IiIiIiIjkz86TlokmgInXV+Q80QRwPZbEFRs1ukmKFJ/Speh1aweaVK9M\nqbVbcnRMk1PnqDX+LqrWrZF952KkRK1GJyIiIiIiIvnz+jLL7XaJJ+mdeCjX54n75XeM67F2ikqk\n8JT/5xAeCYk56uuRkEj53bn//SjqlGwSERERERGRHNlyHNYetGybGJPLUU3/zzUugcTfNtglLpHC\nYkTHkLj8z1wdk7hsfYlLrCrZJCIiIiIiIjkycanldufEY3RPDMrz+RKX/1niPoRL0Za4YiPk9j37\n/9NGSxLVbBIREREREZFs/XkENhy1bHvRdSORPrkveOzh4Y63txcuLiaStu/Dvect9glSpADlZVRT\nmsRl63Ef0L3EFMVXsklERERERESyZBiZRzX1agIDnxvH2XMX2bJtL+ERUdmeJ8C/DJ073kT5KhUK\nJlCRApSnUU1pSlhRfE2jExERERERkSytPQhb/7NsmzYk9b/VqlakTesmOTpPm9ZNqapEkxRB+RnV\nlKYk1W5SsklERERERERssjaqaUBLaF8nfftI0KkcnetI0En7BSZSiPI1qilNCardpGSTiIiIiIiI\n2LR8H+w+bdk2dVD644jIKM6dv5Sjc507f4nIyGi7xSZSGOwxqilNSRndpJpNIiIiIiIiYlVKCry+\n1LLtzpugdc307SNHM49qqlenOi2aN2D/v8c4cfKMxb4jQSfp0K5FAUQrUjCSduzHFOgHgX72OV8J\nKIqvZJOIiIiIiIhYteQfOHA2fdtkgimDLPvUqlmZo0EniU9INBcAT6vL1OvWDjRuWNtcQNzTw52a\nNaoU4h2I5J97z1uKfXLI3pRsEhERERERkUySU2DSMsu2ke2gWTXLtsqVynPnoNsIOXOBJo3r4upq\nWa2lWtWKDBvSm0NHTlCzRmX8fH0KOHIRcTQlm0RERERERCSTBTvgyIX0bRcTTLrDel8/Px+a+9W3\neS5XVxdaNLO9X0SKFxUIFxEREREREQtJyTBluWXbmFugYSXHxCMiRYuSTSIiIiIiImJh7lb4L8MC\nc26u8LqNUU0iIjdSsklERERERETMEpJg6m+WbQ90hjrlHROPiBQ9SjaJiIiIiIiI2debIfhq+raH\nG7w2wHHxiEjRowLhIg5iGAbR0dEkJydb3V+6dGnc3d0LOSrJi9jYWOLj43F1daVMmTKODsepXb9+\nncTERNzc3PDxcdxKNPaIw5le92vXrpGSkoKXlxdeXl4OjUVERIq2uER4Y6Vl27iuUD3QMfGISNGk\nkU0ihWzlypV07doVLy8vfH19CQgIsPqzbNmy7E8mTuHZZ58lICCAW265xdGhOL1Ro0YREBDAgAGO\n/XrUHnE40+veokULAgICeO211xwdioiIFHGzN8K58PRtL3d4pb/DwhGRIkojm0QK0U8//cSIESPM\n26VLl8bNLf3X0DAMrl275ojQpADFxMSQkJDg8NE8IiIiIlm5Hg8zVlm2Pd4DKvs7JBwRKcI0skmk\nEE2cOBGAdu3aERwcTHR0NBEREeafQ4cOOThCyYtSpUrh5+eHr6+v1f3jxo0jICCA7t27F25gUqCy\ne91FRESKmk//hIsZvvcs7Qkv3e64eESk6NLIJnE+hgGnNsOeeXD1JCREg4cPlK0DN42B2p3BZHJ0\nlLl26dIlgoKCAHj66aepUaOGgyMSe5k1axazZs1ydBhSyPS6i4hIcRIVC2+vsWx7qieUVzlKEckD\nJZvEeRgG7P4etn4Kl4My7z+zE/YthPINoePjcPN9RSrpFBoaan5ctWpVB0YiIiIiImLpwz/ganT6\ntq83PN/HcfGISNGmZJM4h+RE+PUJ2Lcg+76Xg2DZUxC8DYZ8Aq7OvWJbXFwccXFxhIWFmdtiY2OJ\niIgwb5cpUwZXV9dszxUVFUVycjKenp54e3vb7GdrZaq0400mE35+fjaPT05OJioqCgAPDw9KlSqV\nbWwZZbXSV3x8PJ6enlken5KSQnJycp5W40tKSjI/R/mNNS4uLkcre9lalSwhIYGYmBgSExOB1Oc1\n4+sO5KiOk73vKT4+PsvX31Fy+nzbEhMTg7e3N6Z8JqHz+7qnscd7Kz/xiYiI5FT4dXh3rWXbhF4Q\nqFKTIpJHqtkkjmcYOU80ZbRvASx9MvV4JzZ9+nQCAgLo0aOHua1fv34WK89t27YtR+dq27YtAQEB\nvPDCC1n2a9CgAQEBAUyfPt2i/bPPPiMgIAB/f3/mzJlj8/jHHnuMgIAAAgMD2bp1a45iy+jGlb4O\nHz7MyJEj8ff3x8vLi0qVKjFhwgQiIyPNx6SkpDBnzhxatmyJt7c3np6eNG3alG+++Sbb6wUFBfHQ\nQw9RvXp1PDw88PLyIjAwkMGDB7N+/fpcxXrq1CnGjh1L2bJl8fb2plSpUvTr14+dO3faPIetVcm+\n/PJLAgICWLx4MQD79u3LtOqgrTpO9rynoKAg7r//fsqXL4+3t7dTjaw7cOAAw4YNw8/PD29vb8qU\nKcPQoUPZv39/tsdGRUUxY8YM2rZti6enJ6VLl8bDw4PWrVszY8YMoqOjsz1HGnu+7mns8d5K88cf\nf9C7d2+8vLzw9vamXLlyPPjggwQHB+f4HkVERGyZ9TtExqZvB5SCZ3o5Lh4RKfqUbBLH2/197hNN\nafb+mHq8E/P29sbPz89iZIOPjw9+fn7mn4wr0hWkF198kd69ewOpdaMOHz6cqc/PP//Ml19+CcBL\nL73Ebbfdlq9r/v3339xyyy0sWrSIuLg4XFxcuHjxIu+//z59+/YlNjaWpKQkRo0axbhx4zhw4ACu\nrq4YhsHhw4d58MEHefPNN22e/9tvv6VZs2Z8/fXXnD17FpPJhIeHB+Hh4SxbtozbbruNxx57jJSU\nlGxj/eeff2jXrh3fffcdUVFRuLm5ERsby5o1a+jSpQvr1q3L1b17enri5+dnHqHl6upq8br7+flZ\nHRFjz3v666+/aNeuHd9//z2RkZH4+fnh7++fq/soKH/++ScdO3ZkyZIl5vdGdHQ0v/zyCzfffDOL\nFi2yeeyuXbto2LAhr7zyCrt37yYhIYFSpUqRnJzMvn37eOWVV2jTpg0nT57MNg57v+72vsYbb7xB\nr169WLduHfHx8bi7uxMZGck333xDu3btOHjwYL7jExGRkutKFHxww/+GXugLfrkb2C4iYkHJJnEs\nw4Ctn+TvHFs/derRTa+++ioRERFs2LDB3LZ69WqLVeg6dOhQKLGYTCbmzp1LxYoViY2N5a677iI2\nNv1rrNOnT/Pwww8D0L59e6ZNm5av60VGRnL33Xdz6623cuTIEeLi4oiKiuLtt98GYPv27Xz00UfM\nmDGDFStW8MUXX3Dt2jViYmI4evQo7dq1A2Dy5MmcOnUq0/nXrVvHgw8+SFJSEvXr12fVqlXEx8cT\nHx/P3r17ufXWWwH4/PPPmTp1araxDhs2jJtuuol//vmH+Ph44uLiWL58OYGBgSQkJPDggw+ap8Tl\nxMMPP0xERAQjRowAoFWrVhav+43vC3vfU0REBPfccw9t27Zl9+7dxMfHExERwdmzZ3N8DwUlIiKC\n0aNH07ZtW/bs2WOebrp8+XJq1KhBUlISY8aM4cCBA5mO/e+//7jtttu4cOEC9erV46effuLatWtc\nv36dqKgo5s2bR7ly5Th27Bh33HEHcXFxNuMoiNfdntdYunQpr732GgCtW7dm8+bN5qmQGzZsoGLF\niowePTpf8YmISMn2zhqIjk/fLl8GnuzpuHhEpHhQskkc69RmuHwsf+e4HASn/rZPPCVAxYoV+eGH\nHzCZTBw8eJBnnnkGSK0LdM899xAREYGfnx8LFizI94irffv20bJlS5YsWUKjRo2A1OXiX3jhBe6+\n+24A3nvvPd58801+/vlnxo8fbx7p07BhQ3766Sfc3NxITExk/vz5Fuc2DIMnnngCwzCoUKECmzdv\npl+/fuaYW7VqxerVq+nYsSOQOjokqyTLvn37zMmdm266CZPJhKurKwMHDuSzzz4D4MyZM/z+++/5\nek6yYu972r9/P3Xq1GH16tW0adMm37WM7Gn//v1Ur16dNWvW0Lp1a0wmE+7u7gwcOJCNGzdSpkwZ\nEhMTrU4ZfeSRR7h27RoNGjRg586dDBs2zPy+KV26NKNGjeLPP//Ew8ODQ4cO8e2339qMozBe97xe\nIyUlheeeew6AOnXqsGHDBjp37oyLiwsuLi50796djRs3EhYWxvnz5/Mcn4iIlFyhkfDxn5Zt/+sH\nPioNKCL5pGSTONaeec51nhKiV69evPjii0BqXaGffvqJ119/3Vw7avbs2dSuXdsu15o5cyYuLpn/\n1AwfPhyAy5cv06VLF/r0ybzcSY0aNWjbti2QOgoqo82bN3PsWGqi8pVXXqFixYqZjvfw8OC9994D\nUpNp3333XZaxvvvuu1YLtd95553maZA5ra+VFwVxT2+++WaeCq0XhhkzZlgtel67dm2efPJJIHWk\n17lz58z7Dh06ZK5Z9dZbbxEQEGD13M2bNze/x3766acs4yiM1z0v19i8ebN5GuCkSZOsFnUPDAxk\n4sSJ+YpNRERKrrdWQWxC+nZlP3i0h+3+IiI5pWSTONbV7Oup5EiYnc5TgkyfPt08fe+BBx5g5syZ\nADz00EPcdddddrlGtWrVaNq0qdV99evXNz/u27evzXM0aNAAINMInr//Th/NNmTIEJvHd+jQgSpV\nqgCpH95tqVq1Ki1atLC6z93d3RxvxsSHvdn7nnx9fencubP9ArSjMmXK2CyODjB48GAgdbRXxiL1\nf/zxB5A6JbRTp05ER0cTHR1NVFQUUVFRXLt2jWvXrhEZGUmzZs0A2LNnj83rFMbrntdrZHw/DBw4\n0Ob5Bw0alOfYRESk5DobBl9stGx7pT94ezgkHBEpZgqnKrGILQk5Xy0qS/F2Ok8J4ubmxoIFC2jd\nujUREREANG7cmA8//NBu16hevbrNfaVLlzY/rlatWrb9rl+/btEeEhICpBZgr1GjRpZxNGnShPPn\nz5uPsSa7c6RN07oxDnuy9z3Vq1cv31PnoqKiSE5OtrrPx8cnz1Mt69evb3XEW5qGDRuaH2e8x+PH\njwOpSShrI7+siYyMJCkpyWqshfG65/UaafddoUIFmyO4Mu4PDw/Pc4wiIlLyvLkS4pPSt6sHwsNd\nHRePiBQvSjaJY3n4ZN8nJzztdJ4SJjAwEH9/f3OyqWfPnpQqZb+lRzw8bH81ljEJkpN+xg1F4NM+\nmGdMWtmS1ic62nZSMqsYMsaRkxXg8sre95RxBcS8uuWWWzh06JDVfatXr85yVFpWsnufZdyf8R4j\nIyOB1NfD19c3x9dLTk62mmwqjNc9r9eIiYkBsn+u0voo2SQiIjl1+gp8dcPg6IkDwNM5Z96LSBGk\nZJM4Vtk6cGZn/s8TWCf/5ygC0kaC3Jh4uVHGFeayMn78eE6fPm3e/vTTT7njjjvo1atXnmMsLGmj\nQaKiojAMI8sRPNeuXQPIVXLCEex9T/YoCO7r62u1VhCQr1pQUVFROd6f8R7THvv4+JiTpMVVWrIw\nu+cqp31ERETSTPsNEjMMXK5THu7v5Lh4RKT4Uc0mcaybRjvXeZxc2ofPtNEd1ly5csWciMjKN998\nw8KFC4HU4sONGzfGMAzuvfdeLl26ZJ+AC1CdOqkJxvj4ePPUKmsMw+DgwYMA1K1bt1BiyytnvKet\nW7cSERFh9adnz7yvi3zs2DESExNt7s84mirteYH0Gl5RUVHmYurFVdpre/XqVS5evGiz39mzZ3P0\nOy8iIgLw30X4fqtl2+sDwV3DEETEjpRsEseq3QXKN8jfOco3hNrOWQTZ3mrWrAnAgQMHbPZZunRp\ntuc5evSoebWvXr16MWnSJBYtWoSXlxehoaHcd9992Y6ecrSMxaUXLVpks98ff/zB5cuXMx1TmNKm\nUSUlJWXZryjdU37FxsayatUqm/vTVpBzc3OjU6f0r1ozTtubM2dOwQXoBLp2TS+c8fPPP9vsl91q\neyIiIhlNWQ7JGWZuN6gIozo4Lh4RKZ6UbBLHMpmg4xP5O0fHx1PPUwJ06dIFgH///dfqUuznz5/n\n9ddfz/Ic8fHx3HXXXcTExFChQgXmzp2LyWSiefPmvPfeewCsWbOG999/3/43YEc333wzN998MwDv\nvPOO1VEuUVFRTJgwAUitaXPfffcVaoxpypcvD6SOQMkqiVeU7ske/ve//1kdkbN3715mz54NpK7K\nV65cOfO+hg0bmlfq++CDD7JMWKVx9sSpLe3atTOvYjd9+nTOnz+fqU9ISAhvvvlmYYcmIiJF1OHz\nMH+HZduUQeDm6ph4RKT4UrJJHO/m+6DV3Xk7tvU9qceXEPfcc4+5Zs2dd97JokWLCA0NJTg4mG++\n+YYOHTrQvn37LFfpeu655zhw4AAmk4nvv/+eSpUqmfc99thj5iXnX375Zf75558CvZ/8+uKLL/Dw\n8CAqKoouXbowe/ZsTp8+zYULF1i2bBmdOnUyTzd77733KFu2rEPibN++PZA6HWratGkEBwebp6Ld\nWOC7qNxTfrVv356UlBQ6duzI0qVLuXDhAqdOneLTTz+lZ8+exMfHU6ZMGd5+++1Mx37++efUqFGD\npKQkBg4cyEMPPcT69es5d+4coaGh7N+/n7Vr1zJ16lQ6dOjAu+++64A7tI9PPvkEFxcXQkND6dix\nI/Pnz+fs2bOcOXOGuXPn0qlTJ5o1a5btinciIiIAk5dBxu9gmlWFEW0dF4+IFF+amSuOZzLBkE9S\nH+9bkPPjWt8Dgz8uMaOaAMqVK8dXX33FPffcQ2hoKCNHjrTY37FjR7755hsaN25s9fhly5bx6aef\nAjBhwgSrK4l9/fXX/PPPP5w5c4a7776bPXv22GVVs4LQpk0bfvvtN+666y4uXbrEI488kqmPq6sr\nb775ptV9hWXAgAE0a9aMgwcPMmnSJCZNmmTe16ZNG3bv3m2xXRTuKb+8vLxYtGgRffr0MY9UysjP\nz49ly5ZRq1atTPsqVqzIli1bGDlyJFu2bOHrr7/m66+/tnmtO++8056hF6ouXbrw3Xff8dBDDxEc\nHMzo0Zb16erXr8/3339vMeVORETEmv1n4Kfdlm1TBoGLhh+ISAFQskmcg6s7DP0Cat4CWz+Fy0G2\n+5ZvmDp17ub7ilSiyc3Nzbyql7Ul2CF1tbm0PraWSx8+fDh169blvffeY/v27cTExFCzZk1GjhzJ\no48+iqenJ35+fsTFxeHt7W0+7tKlS0yYMAE/Pz+aNWvGjBkzrJ4/MDCQ+fPnM2jQIC5dusQrr7zC\nRx99lKt7LV26NH5+flkmqTLea1armpUqVQo/Pz+bq6717t2bEydO8Nlnn7FmzRqCg4NJTEykcuXK\ndOvWjUceeYRGjRrlK1ZILc7u5+dH6dKlcx2jh4cHmzdv5r333mPdunWEhIQQGxuLYRjmFegccU+O\nkDG2Vq1asXv3bmbNmsX69eu5ePEiFSpUoFevXjz//PNUqVLF5nmqVavG33//zZo1a/j555/ZuXMn\nly9fxtXVlYoVK1KpUiU6dOhA3759adOmTZZxZCU/r7s9rgEwZswYbr75ZmbNmsXmzZuJiIigatWq\nDBw4kKeffpqAgADzqoEZf+dFREQymrTUcrt1DRhyk0NCEZESwGQU1WIWYlV4eDiBgYEAhIWFERAQ\nkONjT548SXx8PJ6enharPxU6w4BTf8OeeRB2EuKjwdMHAutAmzFQq1ORSjKJiDgzp/nbLyIiBWbX\nKWg33bJtxVPQv6Vj4hER55KfPIItGtkkzsdkgjpdUn9ERERERCRfXl9qud2+DtzewiGhiEgJoRm6\nIiIiIiIixdTW/2DNQcu2aYM1UUBECpaSTSIiIiIiIsXUxF8tt7s2gNuaOCYWESk5lGwSEREREREp\nhjYchT+PWrZpVJOIFAYlm0RERERERIoZw8g8qum2JtC1oWPiEZGSRckmERERERGRYub3Q7DlP8u2\naYMdEoqIlEBKNomIiIiIiBQjhgETl1q29W8BHeo6JBwRKYGUbBIRERERESlGftsPu05Ztk0d7JBQ\nRKSEUrJJRERERESkmEhJgdeXWrYNuQluqumQcESkhFKySUREREREpJj4ZQ/sP5O+bTLBlEGOi0dE\nSiYlm0RERERERIqB5BSYtMyy7a620LyaY+IRkZJLySYREREREZFiYOFOOHw+fdvFBJM1qklEHEDJ\nJhERERERkSIuKRmmLLdsG30LNKzkmHhEpGRTsklERERERKSI+2EbHL+Yvu3qAq8PdFw8IlKyKdkk\nIiIiIiJShCUkZR7V9EBnqFvBMfGIiCjZJCIiIiIiUoR98zcEX03f9nCD1wY4Lh4RESWbRERERERE\niqi4RJi+wrLt4a5Qo6xj4hERASWbREREREREiqwv/4Jz4enbXu7wyu2Oi0dEBMDN0QGISN7t3buX\nEydO4OfnR69evbLse+3aNfbt28fVq1dJTk6mdOnS9OvXz6JPTEwMe/fu5cqVKyQmJuLq6sqQIUMK\n8haKtNw8/5IuJ+9FERERyV5MPLy50rLtsR5QJcAx8YiIpFGySaSQHD16lIMHD1q0mUwmPD098fPz\nIyAggPr16+Pp6Znjc86ePZvZs2fTtGnTTOdOk5SUxIsvvshnn31GfHy8ub1mzZqcPn3avD116lTe\nfvttrl+/bm7z9PQkLi4ux/GUNDl5/iVdYmIiL7zwAp9//jkJCQnm9hvfiyIiIpIzn26Ai9fSt0t7\nwkv6/kZEnICSTSKF5Oeff2bixIlZ9nF3d6dZs2bccccdPPjgg1SvXj3f150+fTrvv/8+AA0aNKBR\no0a4u7tToUL68iRffPEFkyZNAqBWrVo0a9YMT09PPDw88n39kmzXrl0EBwcTGBjIrbfe6uhwHG7q\n1Kl8+OGHgO33YlFz9epVNmzYAEDPnj0JCNBXySIiUjiiYmHmasu2J3tCBV/HxCMikpGSTSIO0KtX\nL3x9U/8lkJycTGRkJOfPn+fYsWPs3buXvXv3Mn36dF555RUmTpyIu7u71fPcdNNNDB06lBo1aljd\nbxgGn3zyCQBjxozh+++/x2QyZer38ccfA9CnTx9WrlyJq6urPW6z2Mvu+f/www+ZP38+bdq0Yffu\n3YUcnXMxDIPPPvsMyPq9WNQcOXKE4cOHA6nJxZtvvtnBEYmISEnx0Xq4Gp2+XcYLnu/juHhERDJS\nskmcVkqKweIla4mNi8fby5O7hvUpFh9OAWbNmkWzZs0ytUdERLBgwQJmzpxJcHAw06ZNY8+ePSxb\ntsxqAmjcuHGMGzfO5nWCg4O5ejV1HdyhQ4daff5iY2M5cuQIAEOGDFGiKReye/4l3enTpwkLCwNs\nvxdFREQkZyJi4N21lm0TekNZH8fEIyJyI61GJ04r9OIVIiKjiI9PICIyitCLVxwdUoHz9/fn0Ucf\nZd++ffTo0QOAlStX8vrrr+fpfOHh6UuTlC1rff3biIgIDMPIso9IfkVERJgf630mIiKSP7N+T004\npQkoBc9qrRIRcSIa2SRO6+SpsxbbJ06epXKl8g6KpnD5+/vz008/0bx5cy5cuMD777/P008/nam2\nja3V0A4dOsSRI0c4efKkuW3jxo2EhoZmulbaaBOA7du3W+y75ZZbqFq1ao7j3rZtG+fOnaN8+fJ0\n69YNSC0KvX//fi5evEjNmjVp0qQJLi6Z89yhoaEcPXqUuLg4mjdvnqvrBgUFERwcTGJiIpUrV6ZF\nixa4uWX9581arMnJyRw4cIBz584REBBAmzZt8PLysnkOW8//iRMn2Lt3LyEhIUBq0u/nn3+2ODa7\nOk72vKeDBw9y5swZkpKSGDx4cJbnsLecvBd79OhhTkDl9R7Cw8M5ePAg4eHh+Pv706RJE8qVK5dl\nbBcvXmTz5s1A6hTSMmXKAHDmzBmOHj2KYRg0adKEatWqZTrWMAyWLFnC0aNHzW1//vlnpkLnquMk\nIiL2djUaPlhn2fZ8X/Ar5Zh4RESsMqRYCQsLMwADMMLCwnJ17IkTJ4zDhw8bJ06cKKDoci45OcX4\nft5y4/M5i80/389fbqSkpDg6tDybNm2a+bX5999/c3TMjBkzzMe8/fbbmfaPHz/eAIymTZtatL/6\n6qvm4/Lz89NPP+XqHgcNGmQARrdu3QzDMIxvv/3WqFy5ssU5W7VqZezZs8d8zKVLl4wRI0YYLi4u\n5j4mk8m4++67jevXr9u8VkpKivHll18atWrVyhS3n5+f8dJLLxlRUVE5jnXJkiWZzuXj42O8++67\nNs9h6/n/+OOPs31u27RpU+D3NHfuXKNGjRrmc5QuXdrmsQUlJ+/FzZs35/ke/v33X+P22283XF1d\nLc7p4uJi3Hbbbcbu3bttxrZ69Wpz/yNHjhgXLlwwBgwYYJhMJotz9evXzzh//rzFsYmJiTn6Hdq1\na5f9nswC4kx/+0VEJHsv/WQYPJD+U+4pw4iKdXRUIlKU5SePYItGNolTCr14hZjYOIu2mJg4Qi9e\nKTGjmwBGjBjByy+/DKSOBnnhhRdydFyzZs0YOnQo4eHh/PnnnwB0797d6vSl2NhYVq1aBUCHDh0s\nRhRZG9GRU5988glPPvkk1atXp3///kRGRrJt2zb27dtHnz592L17N15eXnTt2pX//vuPtm3bUqFC\nBQ4cOEBwcDALFiwgLi6OX375JdO5DcPg3nvvZd68eQCUKlWKDh064OnpyZ49e7h48SIzZ85k3bp1\nrFu3jsDAwCxj/fbbb3nwwQcpV64cffv2JTk5mW3bthEdHc3zzz9PSkpKjp97gHr16jF06FB27dpF\nSEgIAQEBmUYx1a1bt0Dv6YMPPuDZZ5+lfPny9OnTBx8fH7y9vXN8D/aSk/eirRFI2d3D2rVrufPO\nO4mJSZ1H0KJFC2rWrMnZs2fZu3cvf/zxB506dWLhwoXZjui6dOkSffr04fz583To0IFy5cpx5MgR\n/vvvP1avXs1tt93Gnj178PT0BMDFxYWhQ4dy9epVNm7cCMCtt96aaRRTdq+TiIhIblyMhI/XW7b9\n73bwsT0QW0TEMeySshKnURRHNu3Y9a+x8Kc1Fj/fzVtmMaop7ee7ecsy9d2xK2ejhBwtLyObDMMw\nypYtawBGpUqVMu2zNbImza5du6yOHsnozJkzeR7JdKO0USk1a9Y0SpUqZXz00UcWo9F27txp+Pj4\nGIDxyCOPGHfddZfRuHFjIygoyNwnKSnJGDdunDmmLVu2ZLrOu+++a94/fPhwIyIiwuL4yZMnm/cP\nGjQo21hLly5tvPnmm0ZiYqJ5/6VLl4zWrVsbgOHt7W319ym753/UqFE2RzEV5D3VqFHD8PT0NKZO\nnWpxT46Uk/eiYeT8Hs6cOWP4+/ubfzdufJ/s3LnTqFKlinmE2vHjxzOdI+PIpsaNGxudOnUygoOD\nzftTUlKM6dOnm/t88MEHmc6xefPmIjWKyRqNbBIRKTqeWWA5qqnSs4ZxPc7RUYlIUVcQI5tUIFwc\nyjAMgo6fJjzimsVPbGy81f6xsfGZ+h47HmwucF0cVa5cGcC8qlxREBwczJNPPsmTTz5psepY27Zt\neeyxxwD46quvWL58OStXrqRBgwbmPq6ursyaNctcP+fGWkcxMTG88cYbANx0000sWLAAPz8/i+Mn\nTZrEQw89BMCyZcvYuXNnlrGOGzeOl19+2aImUvny5fn888+B1NFfv/32W56ei5yw9z2FhIRw3333\nMXHixGzrPDmr7O7hnXfeISIiApPJxJIlS+jYsaPF/rZt27J06VJcXFyIjo7mzTffzPJ6ERERrFix\ngho1apjbTCYTr776Kq1btwZg0aJFdrgzERGRvDkXDp9vsGx7pT+U8nRMPCIiWVGySRwqLj6B+PiE\nfJ4jPt/ncGZpSYfExETzdCFn5+LiwnPPPWd1X1oh7aSkJIYNG0bt2rUz9SldurQ5ebBv3z6Lfb//\n/rt5lb2XX34ZV1dXq9eZOHGiOdG1cOHCLGN96aWXrO5r3769uSj7jXHYk73vCcjVtD9nldU9LF68\nGEidunZjoilN27Zt6devHwA//fQTycnJNs/36KOP4u/vb3XfwIEDgYJ9D4iIiGTnzZUQn5S+XS0A\nHu7quHhERLJSNL/ytoPdu3ezePFijh8/TkJCAjVq1KB///7069fP5ge93IqIiGDRokVs3bqVixcv\nUrp0aerVq8ewYcNo27atXa5R1Hl7eTJyeF+27TjAiZNncn183TrVuaV9C7y8iu9XOmkJJpPJlOXK\naM6kQYMGlC9vvbZW9erVzY87depk8xxp/S5fvmzRnnFET8+ePW0eX6NGDRo2bMjRo0fZsWOHzX71\n69enYsWKNvfXqlWLS5cuZYrDnux9T1WqVKFevXp2jbGwZXUPISEh5tXssnq+IDW5uXLlSqKjozl8\n+DDNmze32q9Lly42z1GrVi0gdYTb9evXKV26dA7uQERExH6Cr8CcTZZtEweCl7tj4hERyU6JSzbF\nx8czfvx4vv/++0z7vvjiC2655RYWLVpk8YE4L+bPn8/jjz9OZGRkpn1vv/02d999N19++SU+Pj75\nuk5x4FO6FL1u7UDjhrXZsm0v4RFR2R4T4F+Gzh1vomqVCoUQoWOFhYUBqSOcXFyKxmDErJacTyuw\nnNN+cXGWheIvXrwIgK+vb7ZLyteqVYujR49y6dIlm31sJcXSpBWkvjEOe7L3PeWnsHuadevWWf37\nBamJmawSdPaQ1T2kPV+QngiyJeP+vL4PMhYlj4uLU7JJREQK3bQVkJhhgG7tcjDW9nd2IiIOV+KS\nTffdd5+57saQIUO4++678fLyYv369Xz66ads27aNvn37sm3bNnx9ffN0jR9++IF7770XgEqVKvHM\nM8/QsmVLrl+/zvLly5k3bx4LFiwgPDycFStW2G0kVVFXrWpF2rRuwh8bbI/YSNOmddMSkWgKDw8n\nJCQESB2BU1Tk9D2dk3431uNKTEwEyFEtInf31K/7EhJsT7PMaawFWRfM3vdkj1Xnnn32WQ4dOmR1\n3+rVq+nbt2++r5GVrO4h7fmC7J+ztOcLnP99ICIiYs1/F+G7LZZtrw8E9xL3SU5EipIS9Sdq2bJl\n5kTT888/zzvvvGPeN3DgQLp3786QIUM4fPgw06dP5+233871NcLCwnj88ceB1G/Ut23bRqVKlcz7\nhw4dSvfu3XnggQdYs2YN3377rbnor8CRoFM57HeSenXzN/qsKPjjjz/MH267devm4GicQ9rIn8jI\nSBITEy2SCTdKm/rm7MvPO+M99e7dm0aNGlndl/FvmiNkHP2V3fTGjPud/X0gIiJizdTfIDklfbtB\nRRh9i+PiERHJiaIxJ8dOZsyYAaTWAklb+SmjwYMHM2jQIAA++eQToqOjc32N+fPnExWVOg1s5syZ\nVj+UjR07lh49egAwffr0XF+juIqIjOLcedvTXDI6d/4SkZG5f32KEsMw+OCDD8zbw4cPd1wwTiSt\n5k5ycjL//POPzX6xsbEcOHDA4pjClnElvqw44z3NmjWLn3/+2epPq1atCvTa2alXr5555FNWq/IB\n5tpWLi4uNGnSxO6x5PQ1FhERyYsj52Hedsu2yYPATRMjRMTJlZhk09mzZ80fSu655x48PDys9rv/\n/vuB1A91q1atyvV1tm7dCqR+sOnfv7/NfmmrGwUHB2f7YamkOHI086imenWqc+egntStk3kU05Gg\nk4URlsPMnDnT/H7q3bs37dq1c3BEzqFXr17m2lVffvmlzX4//PCDubh6QU/5siWtoHt29Z6K0j05\nA3d3d2699VYAfv31V65cuWK1X9oiDZBajL5MmTJ2jyVj0f6CrOslIiIl0+TlkHEGd9MqcJfWGRKR\nIqDEJJu2bNlino7UtavtNUIz7vv7779zfZ20ArT+/v5ZFpHNWPx206ZNNvuVJLVqVsbTI3X6UIB/\nGQbe3o3bbu1AhfKB9Lq1AwP6dSXAP/XDoqeHOzVrVHFkuAXm4sWLPProo7z88ssAVK5cma+//trB\nUTmPmjVrmkd5fffdd/z000+Z+vz777/873//A1KnszpqVFjaQgOnTp0iNjbWZr+idE/O4rnnngPg\n2rVr3H///ZnqMSUmJvLAAw+YC+y/8MILBRJHxsUkDh8+XCDXEBGRkunAGVi8y7JtyiAoIuvFiEgJ\nV2JqNh05csT8uGHDhjb7BQYGUrZsWa5evZqnDw62VtC6UcYPnvqAkqpypfLcOeg2Qs5coEnjuri6\nWv6ftFrVigwb0ptDR05Qs0Zl/HyL7kp+69at4+jRowCkpKQQGRnJ+fPn2bFjB3/++Sfx8fEANGvW\njIULF9pldbHi5OOPP2bbtm2EhIRw1113sXjxYvr06YOnpyc7d+7k66+/JjY2Fi8vL+bPn59lDaSC\n1LNnTyZNmkRMTAyDBg3irrvuws/PD0j9W5M2Oqco3ZOz6NGjB88++yzvv/8+K1eupHnz5owdO5Ya\nNWpw7tw5vvvuO/Pf1ocfftg8mtTeKlSoQLNmzTh48CATJ04kLCyMOnXqmEeq9ezZM9sVBkVERKyZ\ntMxyu3UNGHKTY2IREcmtEpNsOnfunPlxlSpZj4ipWrUqV69e5fz587m+Tp06dQCIiYkhKCjIZmJr\nz549VmPLifDwcJv7IiIicnUuZ+Pn50NzP9urrrm6utCiWdFZlc2WCRMmZLm/UaNGjBs3jscee8yc\nwJR05cuXZ+vWrYwZM4YNGzaYawllVK9ePb777js6duzooChTp27df//9fPfdd6xbt45169aZ97Vp\n04bdu3ebt4vKPTmTWbNmUa5cOaZPn86xY8fMowHTeHp68sILLzB16tQCjeODDz5g0KBBXLp0KVMM\nu3bt4uabby7Q64uISPGz+zQs3WvZNnWwRjWJSNFRYpJNGYt9lypVKsu+afvzUiC8X79+fPrppwB8\n+OGHfPbZZ5n6XL16lXnz5pm30wqK55RWVCqaGjduzNChQzO1e3p64uvrS0BAAM2aNaNNmzZZjr7L\n6KabbmLo0KHUqFHD6v7AwEDzNcuVK2e1T6lSpcx98juCqmPHjri5udG0aVObfUqXLm2+XtWqVW32\na926NUOHDqVy5cpW91etWpU///yT7du3s2bNGoKDg0lMTKRy5cp069aNPn36ZDn6JyexQuoqgOXK\nleOWWzIv+5Ld8w/w7bffcv/997Nu3TpCQkKIjY3FMAzq1q3rsHtyhJy8FyH39/DKK6/w4IMPsmzZ\nMvbt20dERAS+vr60aNGCQYMGZfkeq1SpkjkmX19fm/2qV69u7mct+duzZ0+OHTvGzz//zMGDB4mM\njCQ5ORnQ32sREcmb15dabrevA/1bOCQUEZE8MRlGxpJzxdewYcNYsmQJJpOJlJSULPt26dKFv//+\nm0qVKnHhwoVcXccwDNq2bcs///yDyWRi6tSpvPjii+aC5CdPnmTUqFFs356+rETbtm1zVSQ8p6sf\nhYWF5Wr6xsmTJ4mPj8fT09M8QktERIo3/e0XEXEuW/+DTjMs29Y+C72bOSYeESn+wsPDzV+S5jaP\nYEuJGYiZVqzbMIxMhWRvlFZvKasC37aYTCZ++uknatSogWEYTJw4kQoVKnDLLbfQokUL6tevz/bt\n2xkyZAgVK1YEUouJ50ZYWJjNn5Mni/cKbSIiIiIixdnEXy23u9SHXs43aFlEJEslZhpdxoROeHi4\nOdFjTVpNpLRCvrlVu3Ztdu/ezZQpU5g3bx6RkZHmkUwVKlTgmWee4dlnn8XHJ7XAdVaxWKNisyIi\nIiIixc/Go/DnUcu2aUMghxMbREScRolJNtWvn15UOjg42GaCJyUlhTNnzgDQoEGDPF+vfPnyfPLJ\nJ3z44YccO3bMPCytfv36uLq6smfPHnNNjzZt2uT5OiIiIiIiUvQZBkxcatnWszF0y1kpTxERp1Ji\nkk0tWqRX1Nu9ezft2rWz2u/AgQPmaXYZj8krV1dXGjdunKk946pUPXr0yPd1RERERESk6Fp3CP4+\nbtk2bbBDQhERybcSU7OpY8eO5oJXK1assNlv5cqV5sf9+/cvkFgSExP56quvgNTi4C1btiyQ64iI\niIiIiPMzDHhtqWXb7c3hlnoOCUdEJN9KTLLJzc2N0aNHA7B27Vr27NmTqU9kZCSfffYZkDq1zR4j\nm6yZPHky//33HwDTp08vkGuIiIiIiEjRsGI/7Dpl2TZ1sENCERGxixKTbAJ49dVX8ff3JyUlhWHD\nhrF//37zvosXLzJ06FDOnz+PyWTi7bfftnqODz/8kO7du9O9e3eCgoKs9vn555/59ttviYqKsmgP\nDQ3l0Ucf5c033wTgiSeeoHfv3na6OxERERERKWpSUuD1pZZtg1tDm1qOiEZExD5KTM0mSF0J7pdf\nfuH222/n1KlTtG7dmiZNmuDp6cmhQ4eIj48HYObMmdx6661Wz3H8+HH++usvgEzJpDQHDx5kypQp\nPPzww1StWpWqVasSERFBUFAQKSkpADz66KN89NFHBXCXIiIiIiJSVPy6B/adsWybMsgxsYiI2EuJ\nSjZBajHuPXv28Pzzz/P7779z6NAh876bbrqJadOmcfvtt+frGsOHD+fcuXMsWbKEkJAQQkJCgNSp\nfD169OCll16iV69e+bqGiIiIiIgUbckp8Poyy7a72kKL6o6JR0TEXkyGYRiODsJRIiMjOXXqFImJ\niVSvXp1KlSple8zx48c5d+4ckFrXqUyZMjb7pqSkcOHCBc6ePUvp0qWpUaMGvr6+dovfmvDwcHMh\n9LCwMAICAnJ87MmTJ4mPj8fT05M6deoUVIgiIuJE9LdfRMRxftwOo+akb7uY4NA0aFTZcTGJSMmT\nnzyCLSVuZFNGfn5+tGrVKlfH1K9fn/r16+eor4uLi3kanYiIiIiISJqkZJi83LJtVAclmkSkeChR\nBcJFREREREScwbxtcPxi+rarC7w+0HHxiIjYk5JNIiIiIiIihSghCab8Ztk2thPUq+iYeERE7E3J\nJhERERERkUL07d9w+kr6trsrvDbAcfGIiNibkk0iIiIiIiKFJC4Rpq+wbHu4K9Qs55h4REQKgpJN\nIiIiIiIihWTOJjgbnr7t6Qav9HdcPCIiBUHJJhERERERkUIQEw9v3DCq6bEeUDX/q4yLiDgVJZtE\nREREREQKwWcb4OK19O1SHvC/2x0Xj4hIQXFzdAAiknc//vgjmzZtomrVqkycONFmv+TkZNauXcv2\n7du5evUqycnJlC1bljfeeMPcxzAMNmzYwObNm7ly5QqJiYm4u7vz8ccfF8atFEk5ff4FvvjiC/bt\n20eDBg2YMGFCkY7DmV73V199latXr9KrVy+GDh3q0FhERCRrUbEwc7Vl25M9oYKvY+IRESlISjaJ\n00u5HIZL+UBHh5Fvq1evZtmyZRZtJpMJT09P/Pz8CAgIoGnTptx0002ULVs2R+fctGkTs2fPpmnT\npjY/9F66dIm+ffuyd+9ei/aaNWuak03R0dH079+fTZs2WfTx9PRUsikLOXn+JdWaNWtYtmwZ3bp1\nc2iyyR5xONPrPn/+fIKDg/Hx8VGySUTEyX38J1yJTt8u4wUv9HVcPCIiBUnJJnFqRnQMca9+gPf7\nL2Mq7e3ocPLln3/+Yfbs2Tnq26lTJ8aPH8+oUaNwccnfbNdnn32WvXv34unpyQMPPEDjxo1xd3en\nTJky5j6TJk1i06ZNuLq6MmbMGFq1aoWnpydubvoTkR/ffvstO3bsoGbNmrz88suODkdEREQcJCIG\n3llj2fZsLyjr45h4REQKmj5JilNLXLER4+JVEldsxOOufo4Ox24mTpxIlSpVgNQpbpGRkZw/f54d\nO3bwzz//sGXLFrZs2cLs2bOZN28etWrVsnqeUaNG0apVKwIDrY/8SkhIYMmSJQC88sorvP7661b7\n/fjjjwCMGzeOzz77LJ93V3Jk9/yvX7+e+fPn06ZNGyWbipHsXncREZEbvf97asIpjX8peLa34+IR\nESloSjaJ0zKiY0hc/icAicvW4z6ge5Ef3ZRmxIgRNGvWzOq+Y8eO8corr7BkyRK2bNlCz5492bFj\nB+XKlcvUt0uXLnTp0sXmdU6dOkV8fDwA7dq1s9onMjKS0NDQLPuIddk9/1I86XUXEZHcuBoN76+z\nbHu+T2rCSUSkuNJqdOK0EldshOuxqRvXY1O3S4AGDRrw888/88ILLwBw8uRJxo0bl6dzRUenFwbw\n8bE+TjsnfUREREQkb95dC1Fx6dtlfeCpno6LR0SkMGhkkziljKOa0hS30U3ZmTFjBuvXr2fPnj0s\nXbqU/fv307JlS4s+tlbFWr58OatWreLy5cvmtnfffZd58+Zlus7169fNj7/88kv++OMP8/b48eNp\n3bp1jmO2ttLXvn37WLNmDRcvXqRmzZrceeed1KhRw+K4+Ph4fvnlFw4dOkRcXBwtW7Zk6NChlCqV\n/Vd+x48f5/fffyc4OJjExEQqV65M165dad++PSaTKVexHj16lN9++41z584REBBA9+7d6datm81z\n2Hr+N27cyMKFC9m5cycAISEhPPLIIxbHZlXHyZ73dOTIEVatWsWZM2cA+OCDD2weX9h2797NunXr\nuHjxIuXLl6d37960bds2R8dGRkbyxx9/8O+//xIWFoavry/NmzenT58++Pv75yoOe73uaezx3kqT\nkpLCxo0b2bRpE5GRkVStWpU77riDBg0a5OoeRUTEMS5Gwkd/WLb9rx+UKRn/nBWRksyQYiUsLMwA\nDMAICwvL1bEnTpwwDh8+bJw4caKAosu5+AUrjeg7Hsv0E79wlaNDy7Np06aZX5t///03R8fMmzfP\nfMz//ve/TPvHjx9vAEbTpk0t2l999VXzcfn5+emnn3J1j4MGDTIAo1u3bkZcXJwxevToTOf08vIy\nvv76a/MxmzdvNipXrpypX61atYygoCCb17p69aoxYsQIm7HffPPNxoEDB3IUa1JSkvH4448bJpMp\n03n69u1rREVFWT2Href/448/zva5bdOmTYHeU1xcnHHvvfdaHF+6dGmbxxa0jLHFxMQYw4cPt3qP\nAwYMMMLDw22eJzk52Zg+fbpRpkwZq8f7+fkZH330UY7isPfrbs9rGIZhnDx50mjXrl2m40wmk/H0\n008bycnJRs2aNQ3AeO6552yeJzvO9LdfRKS4eXaBYfBA+k+lZw3jepyjoxIRsZSfPIItGtkkTsfa\nqKY0JW10U58+fcyPN23alOPjBg0aRLVq1QgJCWHGjBkAPP/889StWzdT34iICPMIm3HjxlmMZLrp\nppvyGjrjxo1j8eLF3HfffbRq1YrIyEi+//57Tp06xbhx42jYsCHe3t707t2batWq8eqrr1KhQgX2\n7t3LDz/8wOnTpxk8eDD79+/H3d3d4tzXrl2jc+fOHDlyBIBu3brRp08fPD092blzJz///DO7d++m\nS5cu/PXXX5lGhN3oiSeeYM6cOQwbNoz27duTnJzM8uXL2bJlC2vWrOGRRx6xOirMlh49evD555/z\n7bffsnPnTmrUqJFpFFOFChUK9J4eeOABFi1aZL4nHx+fTM+jo4wdO5YlS5YwYsQI2rdvT1xcHKtW\nrWLLli2sWLGCPn36sHnzZjw8PCyOMwyDESNGmIvet2nThr59+1KxYkWuXLnCr7/+yr///stTTz3F\n1atXmTx5cpZx2Pt1t+c1Ll++TPfu3QkJCQGgf//+dO/enZSUFP78808+/PDDHI38ExERxzkXDp9v\ntGx7+XYo5emQcERECpddUlbiNIrDyCZbo5qK+uimvIxsMgzDqF69ugEYAQEBmfZlN8Ji165d5mtu\n3rzZap8zZ87keSTTjdJGdPj6+hqBgYHG3r17LfaHh4cbtWvXNgCjd+/eRqtWrYy77rrLSEhIsOj3\n9ddfZxnTAw88YN7/6aefZtr/119/GaVKlTIAo3HjxkZSUlKWsfr5+Rnbtm3L1GfUqFHm6/z333+Z\n9mf3/Kcdb20UU0HeU5kyZQwfHx+br7kjZIzN29vb+PPPPzP1eeONN8zPwdSpUzPtf+uttwzAcHFx\nMebMmZNpf0pKivHMM8+YR//s2bPHZhwF+brb4xpp+11dXY1FixZl2j937lzD3d3d8Pb21sgmEREn\n9dgPlqOaqj1nGLEJ2R8nIlLYCmJkkwqEi1PJalRTmsRl6zHSCoeXAGXLlgVSa9SkpKQ4OJqcuXbt\nGu+88w6tWrWyaPf39+epp54C4Pfff+fixYt8/fXXmUbcjB07lmrVqgGwatUqi33nz59n7ty5QOqq\nfo899lim63ft2pWpU6cCqTWLli5dmmWsb7/9Nh06dMi0b8aMGeYaSTfGYU/2vqeoqCgmT55M586d\nCyTe/IiKiuK1116jR48emfa98sor3HrrrQB8/PHHJCQkmPdFR0fz1ltvATBhwgQeeuihTMebTCZm\nzZpFs2bNMAyDTz75xGYchfG65/Ua58+fZ+HChUDqCMERI0ZkOn7MmDGMHj2a2NiS87dQRKQoCb4C\nc24YlP7aAPByjkHGIiIFTskmcSoWK9DZUoJWpgMoXbo0kFoouKh8sPTy8mLUqFFW97Vv3978eOTI\nkeb7y8hkMtGuXTsA87SyNL///jtJSUkAPP744zZjGDduHJ6eqePUV65cmWWs9957r9V91atXp3bt\n2lbjsCd735OLiwtjx461b5B2YjKZePjhh23uf/TRR4HUaWS7du0yt//+++9EREQAZCq2fuP5hw4d\nCsCGDRts9iuM1z2v11i7di3JyclAapF+W6wlJUVExDlMXwGJyenbtcrBWOf7DkhEpMCoZpM4jZyM\nakpTkmo3Xbt2DQA3NzeriRln1KhRI3NS5Ebly5c3P75x5JO1fmkJhjT79+8HUhMqaQkpa8qUKUPz\n5s3ZvXs3+/bts9mvYcOGeHl52dxfqVIlTp48SXh4uM0++WXve6pbty6BgYH2DtMu6tata/EeuFHG\nZOT+/fvp1KkTgHllP5PJxPvvv2/uYxhGpv8eOnQIgLNnz9q8TmG87nm9xoEDBwAoVaoUzZs3t3l8\nq1at8PDwsBgBJiIijvffRfh2i2Xb6wPBQ5+8RKQE0Z88cRo5GtWU5v9HN3nc1a9AY3IGoaGhAE6b\nPLDGz8/P5j43t/Q/O76+vtn2S0xMtGgPCwsDUqfkZfVBHqBy5coWx+Q2VsA8xe/GOOzJ3veUVTIn\np6ZNm8a5c+es7nvqqado0qRJns57Y2H0G1WsWNH8OOM9Xrp0CUhNJn366ac5ulZiYiLx8fFWE5+F\n8brn9Rpp912uXDlcXGwPQHZzc6Ns2bJcuHAhzzGKiIj9Tf0NkjNUPqhfEcbc4rh4REQcQckmcQq5\nGdWUpiSMbgoJCeHy5ctA1qOAShJXV1cA8zSjrKRNTUs7xpq0ujmOZO97sseqc4sWLTKPELrR4MGD\n85xsyu4eM+63do9lypTh7bffzvH1MiY3MyqM1z2v10hLMOXk/ZCTPiIiUniOXoD52y3bJt8Bbrb/\nty0iUiwp2SROIVejmtKUgNFNaUu8A3Tr1s2BkTiPtFE7165d49q1a1mOjkqbRpXdaBpHc8Z7ev31\n122OnmratGmez2trtJS1/RlHaKWNeLp+/TpjxowpMlNK8yLttb18+TKJiYk2k4dxcXFcvXq1MEMT\nEZFsTF4GKUb6dpMqcJftGfIiIsWWkk3icHkZ1ZSmOI9uioqK4sMPPwTAw8PDZqHhkubmm28GUqdT\n/fXXXwwcONBqv9DQUA4fPmxxTGHLagpURs54T9ZWQLOHs2fPcurUKXNx7Bv99ddf5sdt2rQxP06r\n3ZSSksKqVasYPnx4gcTnDNLuOyEhge3bt9OlSxer/bZs2aKRTSIiTuTAGVi0y7JtyiBw1ZJMIlIC\n6U+fOFyeRjWlKaYr08XGxjJmzBiCg4OB1NW3qlWr5uConEOfPn0oU6YMAO+88465MPSN3n33XfMH\ncUclJnx8fID0Iu+2FKV7sodZs2ZZbU9KSjInWOvWrWsxdbRXr15UrVoVgMmTJ3P9+vUCj9NR+vTp\nYx65Zeu5AnjvvfcKKyQREcmBScsst1tVhztvckwsIiKOpmSTOFR+RjWlSVy2HiOvySonk5SUxJIl\nS2jfvj3LlqX+i6VLly688847Do7Mefj6+jJhwgQANm/ezGOPPUZ8fLxFny+++MK8YlnPnj3p2rVr\noccJUK9ePQBOnjzJmTNnbPYrSveUX5UrV2b27Nl89tlnFu2xsbGMHTuWf//9F4BXX33VouaRp6cn\n7777LgCHDx+mT58+HDt2zOo1oqOjWbp0qcUoqaLEz8+Pxx9/HIClS5fy+uuvW4xgSkpK4qWXXuLv\nv//Otgi5iIgUjn9Ow9K9lm1TB0MOBzmLiBQ7mkYnDpWvUU1pimDtpmnTphEQEACkTguKjIzk/Pnz\n/PPPP8TGpj8fjzzyCO+++y4eHh6OCtUpvfbaa+zevZuVK1fyxRdfsHTpUrp164anpyc7d+7k6NGj\nANSvX5+5c+c6LM5Bgwbx0ksvkZSURJs2bejZs6c5OVCzZk1efvllc9+ick/51aBBA8aOHcvjjz/O\nxx9/TLt27YiLi2Pjxo3mFefuvvtuxo4dm+nYkSNHEhISwssvv8yWLVto3LgxN910E40aNcLV1ZWL\nFy+apxomJCQwY8aMIlvrbMqUKWzevJlt27Yxbdo05s6dS+fOnTEMg82bN3PmzBnmzJnD9OnTiYyM\ndHS4IiIl3utLLbfb1YYBLR0SioiIU1CySRzGHqOa0hS12k2LFy+2ua9atWoMGjSIcePG0aJFi0KM\nquhwc3Nj6dKlvP3227zzzjuEhoayaNEi8353d3fGjBnDzJkzKVeunMPirFu3LnPmzOHpp5/m8uXL\nLFy40LyvTZs2FsmmonJP9vDGG2/g4eHB22+/bU6iAXh5efH8888zefJkm8e++OKLtG/fnkmTJrFp\n0yZ2797N7t27Lfr4+fkxYMAAunfvXkB3UPC8vLxYu3YtEyZM4NtvvyU4ONg8rTYwMJCvvvqKBx98\nkOnTpzs4UhER2fYfrPrXsm3qYHCCBW9FRBzGZNgqDiJFUnh4OIGBgQCEhYWZR8/kxMmTJ4mPj8fT\n05M6deoUVIhmieu3kfjrH3Y7n/uQ23DveYvdzmdve/bsYefOnZnaPT098fX1JSAggGbNmuVqlbHN\nmzdz6NAhAgMDrRZ0vnz5snlFu8GDB1OpUqVMfa5fv84PP/wAQO/evfP12q9du5ZTp05RpUoV7rjj\nDqt9oqKimD9/PgB9+/alVq1aVvv9/fffHDx4ED8/P+6++26b10xMTGTHjh0EBweTmJhI5cqV6dix\no7kGUn5iBVi+fDnnz5+nbt269OrVy2Jfds9/mtjYWHbs2EFISAixsbEYhkGFChW48847HXJPjmAt\ntvDwcLZt28bFixepUKECXbp0yXIlvhtdvnyZXbt2cfnyZVxdXalYsSKVKlWicePGuLlZ/y6lMF53\ne1wjo0uXLrF161YiIiKoWrUqnTp1olSpUgDMnz+fqKgoWrVqRYcOHWyeIyuF/bdfRKS4ue1dWH8k\nfbtzfdj0kpJNIlJ05CePYIuSTcVMUUo2iYiI4+lvv4hI3v0VBN3ftmzb8AJ0b+SYeERE8qIgkk0q\nWSciIiIiIpJLhgETf7Vsu7WREk0iIqBkk4iIiIiISK79cRg2H7dsmzbEMbGIiDgbJZtERERERERy\nwTDgtRtGNfVrDh3rOSYeERFno2STiIiIiIhILqw8ADtPWbZNHeyQUEREnJKSTSIiIiIiIjlkGPD6\nUsu2Qa3g5loOCEZExEkp2SQiIiIiIpJDv+6BvSGWbRrVJCJiSckmERERERGRHEhOyTyqaURbaFHd\nIeGIiDgtJZtERERERERyYPEuOHQ+fdvFBJPvcFw8IiLOSskmERERERGRbCQlw+Rllm33tIfGVRwT\nj4iIM1OySUREREREJBvzt8Oxi+nbri4wSaOaRESsUrJJREREREQkC4lJMGW5Zdv9naBeRcfEIyLi\n7JRsEhERERERycK3W+DUlfRtd1eYOMBx8YiIODslm0RERERERGyIS4Rpv1m2PdQFapZzTDwiIkWB\nkk0iIiIiIiI2zNkEZ8PTtz3d4FWNahIRyZKSTSIiIiIiIlbExMObKy3bHu0BVQMcE4+ISFGhZJOI\niIiIiIgVn2+E0Mj07VIe8L9+DgtHRKTIULJJRERERETkBtFx8NYqy7YnboWKfo6JR0SkKFGySURE\nRERE5AYfrYcr0enbPp7wQl/HxSMiUpQo2SQiuTZ58mQaNWrEHXfc4ehQnCoWa5w9PhEREcksMgbe\nXWPZ9mxvKFfGMfGIiBQ1bo4OQESKntDQUIKCgnBzc/yfEGeKxRpnj09EREQye38dhMekb/uXggm9\nHRePiEhRo5FNIuJ0XnzxRRo1asSwYcMcHYqIiIiUMFejU5NNGT3XOzXhJCIiOaOv2kXE6Zw/f56g\noCB8fHyy7TtlyhSeeeYZPD09CyEyERERKe7eXQvXYtO3y/rA07c5Lh4RkaJIySYRKdIqVqxIxYoV\nHR2GiIiIFAOXrsFHf1i2vdQPyng7Jh4RkaJK0+hERERERESAmashJiF9u6IvPN7DcfGIiBRVGtkk\nUohCQkJYtWoV27dv59y5c1y6dInSpUtTv359+vfvz9ChQ3F1dbV5/BNPPMEff/xBu3btmDt3LnFx\ncXz//fcsX76cc+fOERAQQPfu3XnqqacICAgosDhsOX78OAMHDgRg6tSpjBgxIsv+jz76KBs2bKB6\n9eqsW7eO+fPnM23aNC5cuADAoUOHaNSokcUxzZo14+effzZvT548mYULF9KgQQOWL1+e5fU2bdrE\n0qVL2bdvH1evXsXPz48aNWrQrVs3hg8fjr+/f6ZjCuq5EhEREedyPhw+22DZ9vLtUEoz9UVEck3J\nJpFCMmfOHMaNG2d137Zt25g7dy6tW7dm+fLlVKtWzWq/s2fPEhQURKVKlQgNDWXAgAH8888/Fn02\nbtzIl19+yYYNG2jQoEGBxGFL/fr1KV26NHv27OGTTz7JMtl0+fJlvv76axITE839wsPDCQoKMveJ\ni4uz2AYy1XHKyWpvFy9eZNSoUaxfv97q/vnz5/Pkk09y7do1PDw8zO0F+VyJiIiIc3lzFcQlpm9X\nDYDx3R0WjohIkaZkk0ghuX79OvXr12fo0KG0bNmSKlWqUKZMGU6fPs1vv/3G999/z969exkyZAjb\ntm3LMnmSnJzM8OHDuXz5Mp9++int27cnOTmZZcuWMXPmTM6fP8+YMWPYsWNHgcZhzfjx4xk/fjyb\nN28mKCiIhg0bWu333XffkZiYiMlk4oEHHgBg9OjR3Hbbbbz44ov89ttvNG3a1GIUE4C3d+6KJly9\nepWOHTty8uRJAIYOHcrdd99N3bp1uX79OsHBwWzcuJGffvqJlJQUi2ML+rkSERER5xByFeZssmx7\nbQB4uTsmHhGRIs+QYiUsLMwADMAICwvL1bEnTpwwDh8+bJw4caKAoivZYmJisty/du1aw2QyGYCx\nePFiq30GDRpkAIaLi4vRsGFD48qVK5n6zJgxw/we2Lp1a4HEMX78eAMwmjZtmmlfVFSUUaZMGQMw\nnn/+eZvXadiwoQEYt912W6Z9o0aNMgCjTZs2WcaaXSyGYRgjR440AMNkMhlz5861eZ64uDgjJSXF\noq2gnysRZ6C//SIihvHwd4bBA+k/tV40jPhER0clIlI48pNHsEVfw0uumB50dASFw/ja/ufMbkRO\n79696d+/PytWrODXX39l+PDhNvumpKTw0UcfUbZs2Uz7Hn/8cSZNmkRCQgIbN27klltuKbA4rPHx\n8eGee+5h9uzZfP/997zxxhsWU9MgtXZS2vS4hx56KFfnz41Tp06xePFiAMaOHcuYMWNs9vX0zFyQ\noaCfKxEREXG8E5fg2y2WbRMHgIc+KYmI5JlWoxNxIm3atAFg3759WfYLCAigV69eVveVKVOG+vXr\nA3DixIkCjcOW8ePHA6l1mZYtW5Zp/5w5cwAIDAxk8ODBebpGTqxdu9Y8Ne7RRx8tkGvk97kSERER\nx5r6GyQlp2/XqwD3dnRcPCIixYHy9SKFKCkpid9++43ff/+do0ePEh4eTnx8PIZhABAWFgbAlStX\nsjxPvXr1MJlMNvcHBgYCEBUVVaBx2NK6dWvatWvHzp07+eqrryxG/ISHh5vrMI0ePdrqiCJ7OXTo\nEADu7u60bt06T+co6OdKREREHOfoBZi3zbJt8iBw00KzIiL5omSTSCE5cuQIQ4YMybS6mjWxsbFZ\n7i9VqlSW+11cUgctJicnZ9pnzziyMn78eHbu3Mm6des4ffo0tWrVAmDevHnExcUBBTuFDiAiIgIA\nX19fXF1z/6/GwnquRERExDGmLIcUI327SRUY2c5x8YiIFBdKNkmuFEQto5IgNjaW22+/ndOnT+Pt\n7c0DDzxA165dqV69Oj4+Pri7py51Mnv2bD744APzqJmiHMfIkSOZMGECkZGRfPPNN0ydOhWAr776\nCoC2bdvSvHnz/N9UFkqXLg3kLRHkLK+ZiIiIFIx/z8KiXZZtk+8AVxUaERHJNyWbRArBypUrOX36\nNAArVqzg1ltvLfZxlCpVitGjR/Ppp5/yzTffMGnSJHbv3s2BAwcAePDBgq82X7NmTQBiYmIIDg42\nb+eEs7xmIiIiUjAmLYOM3xW1rA5D2zguHhGR4kR5e5FCkDYNy9fXN8ukxZ9//lms4kgrFH7u3DnW\nrFljLgxeqlQp7r77bpvHubml5sHTinvnVY8ePcyP0+pE5ZSzvGYiIiJif3uC4dc9lm1TB4OLPh2J\niNiF/pyKFAIvLy8Arl27RmhoqNU+3333nXnUT3GJo3nz5nTsmLqcy/vvv8+iRYsAGD58OL6+vjaP\n8/f3B/JfdLtDhw7m1eLeeOMNTp06leNjneU1ExEREft7fanldtvaMLClQ0IRESmWlGwSKQQZR8bc\nddddHD9+3LwdERHB9OnTefjhh+natWuxiyNtdNP69euJjo4Gsi8M3qJFCwDOnDnDmjVr8nX9L774\nAk9PT8LDw+nUqRM//vijRQ2nmJgY1qxZwz333ENCQoK53VleMxEREbGv7Sdg5Q3fFU0dBFks9Csi\nIrmkZJNIIWjdurU5wbJp0yYaNGhAhQoVqFWrFuXKlWPixIm8+OKL9OvXr9jFMWLECAICAszbDRo0\noHPnzlkeM2TIEMqVKwdAv379qFy5Mo0aNaJRo0YMGzYsV9e/+eab+eWXXyhTpgwXLlxg1KhR+Pv7\nU6tWLSpUqEDp0qXp168fCxYssJi25yyvmYiIiNjXxKWW253qQZ9mDglFRKTYUrJJpJDMnj2bWbNm\nmYtUX758meDgYFq2bMnChQt54403imUcXl5e3HvvvebtnBQGDwgI4I8//uC2227D3d2d0NBQgoKC\nCAoKMhftzo3bb7+dI0eO8OSTT1KtWjUSEhIIDg7m8uXL+Pj4MGDAABYsWICnp6fFcc7ymomIiIh9\nbAqCPw5btk0bolFNIiL2ZjK0XnexEh4eTmBgIABhYWEWI0qyc/LkSeLj4/H09KROnToFFaIAly5d\n4vr161SqVAlvb29ze1hYGJcuXcLFxYUGDRpkOu7cuXNERUVRqlQpatSoYfP8ISEhxMTE4OvrS5Uq\nVewex8WLFwkPD8fT05PatWtne78TJkzg/fffx83NjbNnz1KxYsVsj0mTmJjIhQsXiI2NxTAMvL29\nLVaVy20skPp7kva7klYfKjuF9VyJFDb97ReRksIwoNtM2Jw+M54ejeDPFxwXk4iIM8hPHsEWJZuK\nGSWbxNkkJiZStWpVLl++zODBg/n1118dHZKIZKC//SJSUqw7BL1nWbb9/T/oVN8x8YiIOIuCSDa5\n5fsMRZRhGOzatYvjx4+TkJBAjRo16Ny5c6ZpNPl16dIldu/eTWhoKMnJyZQtW5YWLVpQr149u15H\nxFktWbKEy5cvA/Doo486OBoREREpiQwjc62mvs2UaBIRKSglMtm0YsUKnnzyyUy1X/z8/HjllVd4\n/vnncXHJXzmroKAgJkyYwJo1ayyKDqdp2bIlb7/9Nr17987XdUSc2alTp3jllVeA1Pd8r169HByR\niIiIlESrDsCOk5ZtUwc7JBQRkRKhxCWbvv32Wx544AEgNbnUp08fvLy8+OuvvwgODuall14iKCiI\nr7/+Os/X2Lt3Lz169CAyMhKAhg0b0qpVKzw9PQkKCmLHjh3s37+fvn378t1331kUTxYpDho1akRC\nQgIhISEkJyfj4uLCBx98gEnVN0VERKSQWRvVdEcraKtSiiIiBaZEJZuOHTvG+PHjAejQoQMrV640\nz0tMTk7m0UcfZc6cOXzzzTf06NGD0aNH5+k6jz32mDnR9MUXXzBu3DiLD9mbN2/m9ttvJzo6mscf\nf5xBgwbh5+eXz7sTcR5BQUHmx7Vq1eLdd9+le/fujgtIRERESqxf98DeEMs2jWoSESlY+ZsrVsRM\nmTKFxMREPD09WbRokTnRBODq6sqnn35K48aNAZg4caLV6W/ZuXLlCtu3bwdgwIABjB8/PtNoji5d\nuvDqq68CEB0dzcaNG/N4RyLO6ciRIxw9epTLly9z6tQphg4d6uiQREREpARKSYFJyyzbht8MLas7\nJh4RkZKixCSbYmJizKtg3XnnnVaXjXd3d+fxxx8H4PTp02zdujXX14mKijI/btmypc1+rVq1Mj++\ndu1arq8j4swaNWpEw4YNKVeunKNDERERkRJs8S44eC5922SCyYMcF4+ISElRYpJNmzZtIjY2FiDL\notwZ961duzbX16lRowbe3t5AanFkW06cOGF+3KhRo1xfR0REREREbEtKhsnLLdvuaQ9NqjgmHhGR\nkqTEJJsOHjxofpxxVNGN6tevT6lSpTIdk1Ourq4888wzAPz0009s2rQpU59z584xY8YMALp27Urb\ntm1zfR0REREREbFt/nYICk3fdnWBSXc4Lh4RkZKkxBQIzzjKyNoUuoyqV69OUFAQJ0+ezLKfLVOm\nTCE8PJwvvviCHj16MHDgQFq3bo2HhwfHjh1j8eLFxMTE0KVLFxYvXpzr84eHh9vcFxERkaeYRURE\nRESKi8QkmPqbZdt9HaF+RcfEIyJS0pSYZFPGuki+vr5Z9k3bn7H+Um64u7vz+eefM3jwYEaPHs2y\nZctYtiy9MqGbmxtvv/02zz//fJ6Wgs9Y2FxERERERCx9twVOXk7fdneFiQMdF4+ISElTYqbRpdVr\nMplMuLllnWPz8vICUouK50ViYiLjxo2jX79+XLlyhUaNGnHvvffy0EMP0alTJ5KTk3nxxRfp2rUr\nly9fzv6EhcwwDEeHICIihUR/80WkuIlPhGkrLNse7AK1tG6JiEihKTEjmzw9PYHUf1QnJyfj6upq\ns29CQgKQnnTKrZEjR/LLL7/g5ubGN998w5gxYyz279q1izvuuIO///6bzp07s2fPHkqXLp3j84eF\nhdncFxERQZ06dfIUt4tLau4xKSkJwzDyNOpKRESKjpSUFBITEwGy/P+iiEhRMmcTnMnwz2VPN3i1\nv+PiEREpiUrMyKYyZcqYH0dHR2fZN21/xmNy6q+//uKXX34B4IUXXsiUaAJo27Yt3377LQDHjh3j\n008/zdU1AgICbP74+/vnOuY0aavopaSk5HlUl4iIFB3Xrl0zj2xKWxxDRKQoi02AN1datj3SHaqp\nCoWISKEqMcmmjEXBz549m2XfM2fOZDomp1avXm1+PGrUKJv9+vTpQ7ly5TId40gZa1mdP3+e69ev\na3qFiEgxlJCQwJUrV7hw4YK5LT9fVoiIOIvPN8CFyPRtbw/43+2Oi0dEpKQqMdPomjZtan586NAh\ni+2Mzp07Zy4m3qRJk1xf5+LFi+bHVatWtdnPZDJRpUoVrly5YnGMI3l5eeHj40N0dDRJSUmEhITg\n4uKCm5ubptSJiBQDaVPJk5OTLdoDAwNxd3d3UFQiIvYRHQdv3fAd7hO3QiU/x8QjIlKSlZhkU9eu\nXXFzcyMpKYk///yTESNGWO23fv168+OePXvm+jp+fun/N7ty5UqW3xRfuXIFyH51vMJiMpmoWrUq\n586dM08lTElJMdewEhGR4qdSpUoEBAQ4OgwRkXz7eD1czrCYtI8nvNjXcfGIiJRkJSbZFBAQQK9e\nvVi9ejULFy7krbfespoImj17NgBly5bl1ltvzfV1WrVqZX68fPlyJkyYYLXfrl27OH/+PACtW7fO\n9XUKiouLC9WqVSMuLo5r164RGxtLSkqKo8MSERE7cXFxwd3dHR8fH0qXLp3tCq0iIkVBZAy8s8ay\n7ZleUC73JVhFRMQOStS/MCdNmsTq1auJjIzkoYceYsGCBRbTBmbOnMnWrVsBeOWVV/Dw8Mh0jk2b\nNnHgwAEA7rrrLsqXL2+xf/DgwTz77LNEREQwefJkOnbsSIcOHSz6nD9/nrFjx5q377vvPrvdoz2Y\nTCa8vb3NBcNFRERERJzZB+sgPMP6Nn7eMKG34+IRESnpSlSyqX379rz66qu88cYbLFmyhFatWjF8\n+HA8PT1Zv369eQrdbbfdxpNPPmn1HIsXLzavHtehQ4dMySZ/f38+++wzRo0aRVRUFJ07d2bAgAF0\n6NABd3d3jhw5wuLFi4mKSh3j+8wzz2RKRomIiIiISM6ERcOsdZZtz/WBgNKOiUdEREpYsglg2rRp\n+Pv7M3HiRA4fPsyUKVMs9o8dO5aPPvooX4VS7777bnx9fXnyySc5deoUy5YtY9myZRZ9AgICmDhx\nIs8880yeryMiIiIiUtK9uxauxaZvl/WBp29zXDwiIlICk00mk4nnn3+eBx98kOXLl3P8+HESExOp\nXr06/fv3p3bt2lke361bN/PjChUq2OzXv39/+vXrx5YtW9i5cycXL14kOTmZsmXL0rJlS3r06EGp\nUqXsdl8iIiIiIiXN5Sj4aL1l24t9wVfVIEREHMpkGIbh6CDEfsLDwwkMDAQgLCxMKwyJiIiISLH1\n/CJ47/f07Qq+cPItKO3puJhERIqagsgjuOT7DCIiIiIiIoXsQgR8usGy7eXblWgSEXEGSjaJiIiI\niEiR8+ZKiEtM364aAI90d1g4IiKSgZJNIiIiIiJSpIRchS83Wba92h+88r7Gj4iI2JGSTSIiIiIi\nUqS8sRISktK3a5aFB7s4Lh4REbGkZJOIiIiIiBQZJy/DN39btk0cCB4lbp1tERHnpWSTiIiIiIgU\nGVOXQ1Jy+na9CnDvLY6LR0REMlOySUREREREioSgUPhhm2XbpDvAXaOaREScipJNIiIiIiJSJExZ\nDilG+nbjynB3e8fFIyIi1inZJCIiIiIiTu/gWVi407Jt8iBw1ScaERGnoz/NIiIiIiLi9CYtAyPD\nqKYW1WBYG8fFIyIitinZJCIiIiIiTm1vMPyyx7Jt6mBw0acZERGnpD/PIiIiIiLi1F5fZrl9cy24\no5UjIhERkZxQsklERERERJzW9hOwYr9l29TBYDI5JBwREckBJZtERERERMRpvb7UcrtjPejbzCGh\niIhIDinZJCIiIiIiTmnzMVh32LJt2mCNahIRcXZKNomIiIiIiNMxDHjtV8u27g3h1saOiUdERHJO\nySYREREREXE664/ApmOWbdOGOCYWERHJHSWbRERERETEqRgGTLxhVFOfZtC5vmPiERGR3FGySURE\nREREnMrqf2H7Scu2qYMcE4uIiOSekk0iIiIiIuI0DAMmLrVsG9gS2tVxSDgiIpIHSjaJiIiIiIjT\nWLoX9gRbtk0d7JBQREQkj5RsEhERERERp5CSAq8vtWwb1gZa1XBIOCIikkdKNomIiIiIiFP4aTcc\nPJe+bTLBZNVqEhEpcpRsEhERERERh0tKhknLLNvubgdNqzomHhERyTslm0RERERExOF+3AFBoenb\nLiaYdIfj4hERkbxTsklERERERBwqMQmmLLdsu68jNKjkmHhERCR/lGwSERERERGH+n4rnLycvu3m\nChMHOi4eERHJHyWbRERERETEYeITYdpvlm0Pdoba5R0Tj4iI5J+STSIiIiIi4jBfbYaQsPRtTzd4\nbYDj4hERkfxTsklERERERBwiNgHeWGHZNr4bVAt0TDwiImIfSjaJiIiIiIhDfLERLkSmb3t7wMv9\nHRaOiIjYiZJNIiIiIiJS6KLjYMYqy7bHe0AlP8fEIyIi9qNkk4iIiIiIFLpP/oTLUenbPp7wYj/H\nxSMiIvajZJOIiIiIiBSqa7HwzhrLtqdvg/JlHBOPiIjYl5JNIiIiIiJSqD5YB2HX07f9vOG5Po6L\nR0RE7EvJJhERERERKTRh0fDe75ZtE3pDQGnHxCMiIvanZJOIiIiIiBSa935PnUaXJrA0PNPLcfGI\niIj9KdkkIiIiIiKF4nIUfPiHZduLfcHX2zHxiIhIwVCySURERERECsXbq+F6fPp2BV94oqfj4hER\nkYKhZJOIiIiIiBS4CxHwyZ+Wbf/rB6U9HRKOiIgUICWbRERERESkwM1YBXGJ6dtV/OGR7o6KRkRE\nCpKSTSIiIiIiUqDOhMHsvyzbXu0P3h6OiUdERAqWkk0iIiIiIlKg3lgBCUnp2zUC4cEujotHREQK\nlpJNIiIiIiJSYE5ehq//tmybOBA83R0Tj4iIFDwlm0REREREpMBM+w2SktO361aA+zo6Lh4RESl4\nSjaJiIiIiEiBOBYKc7datk0aCO5ujolHREQKh5JNIiIiIiJSIKYshxQjfbtRZbing+PiERGRwqFk\nk4iIiIiI2N3Bs7Bgp2Xb5DvAVZ9ARESKPf2pFxERERERu5u8HIwMo5qaV4PhNzsuHhERKTxKNomI\niIiIiF3tC4El/1i2TR0ELvr0ISJSIujPvYiIiIiI2NXrSy2329SEQa0dEoqIiDiAkk0iIiIiImI3\nO07Cb/st26YOBpPJIeGIiIgDKNkkIiIiIiJ2c+OoplvqQr/mDglFREQcRMkmERERERGxi7+Pw++H\nLNumDdaoJhGRkkbJJhERERERyTfDgNd+tWzr1hBubeyYeERExHGUbBIRERERkXz78wj8FWTZplFN\nIiIlk5JNIiIiIiKSL4YBE5datvVuCl0aOCQcERFxMCWbREREREQkX9YchG0nLNumDXZIKCIi4gSU\nbBIRERERkTwzDJh4Q62mAS2hXR3HxCMiIo6nZJOIiIiIiOTZsr3wT7Bl29RBjolFREScg5JNIiIi\nIiKSJykp8Poyy7ahbaB1TcfEIyIizkHJJhERERERyZOf/4F/z6Zvm0wwRaOaRERKPCWbREREREQk\n15JTYNINo5pGtoOmVR0Tj4iIOA8lm0REREREJNd+3A5HL6Rvu5hg8h2Oi0dERJyHkk0iIiIiIpIr\niUkw5TfLtns7QoNKjolHRESci5JNIiIiIiKSK3O3wYlL6dturvD6QMfFIyIizkXJJhERERERybH4\nRJi63LLtgc5Qu7xj4hEREeejZJOIiIiIiOTY15shJCx928MNXhvguHhERMT5KNkkIiIiIiI5EpsA\nb6y0bBvfDaoHOiYeERFxTko2iYiIiIhIjsz+C85HpG97ucPLtzssHBERcVJKNomIiIiISLaux8OM\nVZZtj/eAyv4OCUdERJyYm6MDcLT4+HgSEhIoU6aMXc6XkJBAWFhY9h0z8PPzw9vb2y7XFxEREREp\nCJ+sh0vX0rdLe8JLGtUkIiJWlMiRTWFhYTz//PPUqFEDLy8vfH198ff3Z/To0Rw+fDhf5966dSuV\nK1fO1c/3339vpzsTEREREbG/a7Hw9hrLtqdvg/L2+b5WRESKmRI3sunIkSP07NmTCxcuAODh4YG7\nuzuRkZHMnz+fJUuWMG/ePIYOHZqn83t4eFCxYsVs+129epWkpCQAmjVrlqdriYiIiIgUhg//gLDr\n6du+3vBcb8fFIyIizq1EjWyKjo7m9ttv58KFC/j5+bFw4UJiYmKIjo5m27ZtNGrUiLi4OEaPHs3+\n/fvzdI2OHTsSGhqa5c+xY8dwd3cHoF69enTu3NmetykiIiIiYjfh1+G9tZZtE3pBoI9j4hEREedX\nopJN77//PqdPnwZgwYIF3HXXXbi6ugLQoUMH1q1bh6+vL3Fxcbz44osFFseiRYuIjY0FYOzYsQV2\nHRERERGR/HpvLUTGpm8HloZnejkuHhERcX4lJtlkGAazZ88G4JZbbqFfv36Z+lSrVo2HH34YgN9/\n/51Tp04VSCzfffcdAC4uLtx7770Fcg0RERERkfy6EpU6hS6jF/qCXynHxCMiIkVDiUk2/fPPP5w7\ndw4gy3pMw4YNMz9evny53eM4fvw4W7duBaBXr15Uq1bN7tcQEREREbGHt9dAdHz6dvky8MStjotH\nRESKhhKTbNqzZ4/5cbt27Wz2a9OmjXlqXcZj7CXjynMPPPCA3c8vIiIiImIPoZHwyZ+Wbf/rBz5e\njolHRESKjhKTbAoKCjI/rlOnjs1+7u7uVK1aNdMx9pCSksIPP/wAQEBAAIMGDbLr+UVERERE7GXG\nSohNSN+u7AeP9nBcPCIiUnS4OTqAwhIWFmZ+XK5cuSz7litXjpCQEItj7OHPP/8kJCQEgHvuuQdP\nT888nSc8PNzmvoiIiDydU0REREQkzdkw+OIvy7ZXB4C3h2PiERGRoqXEJJuuX78OgMlkyjbJ4+3t\nDUB0dLRdY0grDA75W4UuMDDQDtGIiIiIiFj3xkpISErfrh4ID3VxXDwiIlK0lJhpdCaTCUhdlc4w\njCz7pu13cbHf0xMVFcWvv/4KQPPmzWnTpo3dzi0iIiIiYi+nLsNXmy3bJg4AT3fHxCMiIkVPiRnZ\n5OPjY34cFxdnHr1kTUxMTKZj8mvx4sXm8+a3MHhW0/siIiKyrEklIiIiIpKVab9BUnL6dp3ycH8n\nx8UjIiJFT4lJNlWoUMH8ODQ0lNq1a9vsGxoamumY/EqbQufu7s6oUaPyda6AgAA7RCQiIiIiYulY\nKMzdZtk26Q5wLzGfGkRExB5KzDS6xo0bmx//999/Nvtdv36dixcvZjomP06cOMHff/8NwIABAyhf\nvrxdzisiIiIiYk9TlkNySvp2w0owqoPj4hERkaKpxCSb2rdvb368ZcsWm/22bt1qrtmU8Zj8sFdh\ncBERERGRgnLoHCzYadk2+Q5wLTGfGERExF5KzP86GjZsSJMmTQBYuHChzSLhP/74IwCurq7ccccd\n+b6uYRj88MMPAFSqVIl+/frl+5wiIiIiIvY2eRlk/Cdys6owoq3j4hERkaKrxCSbAJ599lkAgoKC\n+PzzzzPt3717N/PmzQNgzJgxlCtXLlOfqKgoQkNDCQ0NJSkpKdP+G23YsIHg4GDzOd3cNOFdRERE\nRJzLvhD4+R/LtqmDwY6LM4uISAlSov73MXbsWDp27AjAk08+ySuvvMLBgwc5fvw4X3zxBb179yYp\nKYmKFSsyffp0q+d4+eWXqVy5MpUrV2bfvn3ZXjPjFLr777/fDnchIiIiImJfry+13L6pJgxu7ZBQ\nRESkGChRw2xcXV1ZtmwZgwYNYuvWrcyYMYMZM2ZY9KlevTq//vorVatWzff1oqOj+eWXX4DU+k9p\n0/hERERERJzFzpPw237LtqmDwGRyTDwiIlL0lahkE0C5cuXYtGkTP/74I4sXL+b48eMkJiZSvXp1\n+vfvz7hx4/Dz87N5vK+vLxUrVgTA3d09y2utWbMGHx8ffHx8GD9+vF3vQ0RERETEHl5fZrndoQ7c\n3sIxsYiISPFgMmxVypYiKTw8nMDAQADCwsIICAhwcEQiIiIi4qz+Pg5d3rJsW/cc3KYB+SIiJUZB\n5BFKVM0mERERERFJN/FXy+2uDaBnY8fEIiIixYeSTSIiIiIiJdCfR2BjkGXbtMGq1SQiIvmnZJOI\niIiISAljGDBxqWVbrybQtaFDwhERkWJGySYRERERkRJm7UHY+p9l27QhjolFRESKHyWbRERERERK\nEGujmvq3gPZ1HBKOiIgUQ0o2ifxfe/cdHkW5vnH83lQSQkICCaGEHumIgCgKiCBNmhQVxN7FLno8\nx2PBctTfUbFXjogVQelNBFSkSO+9B0JIKEkggZBssvP7Y80mS3qym0my3891cTn7zLwzz2JM1jvv\nvAMAAOBB5myW1h92rr1ygwmNAACqLMImAAAAwEPYbNKLs5xrwztKHRuZ0g4AoIoibAIAAAA8xPQN\n0tbYnNcWi/TyUPP6AQBUTYRNAAAAgAfIskkvzXau3Xy51LaBOf0AAKouwiYAAADAA0xZI+06nvPa\nyyKNZ1YTAMANCJsAAACAKi4zS3p5jnPttq5Si0hz+gEAVG2ETQAAAEAV980qaf+JnNc+3tKLQ8zr\nBwBQtRE2AQAAAFVYRqb0ylzn2l1XS03DzekHAFD1ETYBAAAAVdiXy6WY0zmv/Xyk5weZ1w8AoOoj\nbAIAAACqqAtW6T/znWv395Aa1jKnHwCAZyBsAgAAAKqoz/+QjiXlvK7mKz030LR2AAAegrAJAAAA\nqILOpUuvL3Cujb1WqlvTlHYAAB6EsAkAAACogj7+TTpxNud1dX/p2QHm9QMA8ByETQAAAEAVczZN\n+u8vzrXHeksRweb0AwDwLIRNAAAAQBXz/hLpdGrO6+AA6el+5vUDAPAshE0AAABAFZJ0TnpnkXPt\nyT5SWJA5/QAAPA9hEwAAAFCFTPhVOpOW8zo00B42AQBQXgibAAAAgCriVIr03mLn2jP9pZBAc/oB\nAHgmwiYAAACgivjvL1Jqes7r8BrSo73N6wcA4JkImwAAAIAqIP6M9NFvzrVnB0hB1czpBwDguQib\nAAAAgCrgzQVSWkbO67oh0kM9TWsHAODBCJsAAACASi42UfrsD+facwOlQH9T2gEAeDjCJgAAAKCS\n+898KT0z53VUmHRfD/P6AQB4NsImAAAAoBI7fEr6crlz7flBkr+vOf0AAEDYBAAAAFRir86VrFk5\nr5uGS3ddbV4/AAAQNgEAAACV1L4E6etVzrUXB0u+Pub0AwCARNgEAAAAVFovz5GybDmvL6kjjbnS\nvH4AAJAImwAAAIBKaWec9MMa59r4oZKPtzn9AACQjbAJAAAAqITGz5YMI+d12/rSzZeb1w8AANkI\nmwAAAIBKZstR6af1zrWXh0pefLoHAFQA/DgCAAAAKpkXZzm/vqyhNKyjKa0AAJBHhQ2b/vzzTy1d\nutTsNgAAAIAKZd0hac5m59orN0gWixndAACQV4UKmwzD0OzZs9W1a1ddc8012rRpk9ktAQAAABXK\nxbOarmgqDWxvSisAAOTLx90XyMjIkLe3t7y9C34sRkZGhr7//nv997//1e7du93dEgAAAFAprdwn\n/bLdufbqDcxqAgBULG6Z2XT8+HGNHTtW9evXl7+/vwICAtSmTRt98sknstlsjuNsNpsmTZqk6Oho\n3X333Y6gyc/PT3fffbdGjhzpjvYAAACASumFWc6vu0dL17U2pRUAAArk8plNhw4dUvfu3XXs2DFH\nzWq1aufOnXr44Ye1fv16TZo0ScePH9fNN9+s5cuXO44LCQnRgw8+qMcff1x169Z1dWsAAABApfX7\nbvuf3F4bxqwmAEDF4/KwaezYsY6gyd/fX5dccomsVqv279+vzMxMffXVVxoxYoSefvppx0ymevXq\n6cknn9QDDzygGjVquLolAAAAoFIzDOmFmc6161pLPVqY0w8AAIVx6W10hw8f1qJFiyRJo0eP1okT\nJ7R161bt2rVLR48eVd++fSVJo0aN0u7du+Xn56fXX39dBw8e1NNPP03QBAAAAOTj1x3Syv3OtVdv\nMKUVAACK5NKZTStXrpRhGIqKitKkSZNUrVo1x77IyEh9//33at68uc6cOSNJWrBggXr37u3KFgAA\nAIAqxTCk5y+a1XR9O+nKZub0AwBAUVw6s+nQoUOSpAEDBjgFTdlq166t7t27S5L69etH0AQAAAAU\nYe4Waf1h59orN5jRCQAAxePSsCklJUWS1KhRowKPady4sSSpU6dOrrw0AAAAUOXYbNKLs5xrwzpK\nnRqb0Q0AAMXj0rApKytLkuTn51fgMf7+/pKk0NBQV14aAAAAqHKmb5C2HM15bbFILw81rx8AAIrD\npWETAAAAANfIskkvzXau3dRZatfAnH4AACguly4Qns1msykzMzPffYZhFHlMNm9vb1ksFpf3BwAA\nAFR0P66Vdh3Pee1lkcYzqwkAUAm4ZWbTs88+K19f33z/TJgwochjsv+888477mgPAAAAqNAys6Tx\nF81qurWr1LKuOf0AAFAS3EYHAAAAVDDfrJL2n8h57e0lvTjYvH4AACgJl95G16lTJ40ZM8Zl52vd\nurXLzgUAAABUBhmZ0itznWt3XS01izCnHwAASsqlYdPo0aM1evRoV54SAAAA8CiTVkgxp3Ne+/lI\nLzCrCQBQiXAbHQAAAFBBXLBKr81zrt3XQ2pYy5x+AAAoDcImAAAAoIL4/A/pWFLO62q+0nPXm9YO\nAAClQtgEAAAAVADn06U3FjjXHuop1Qs1pR0AAEqNsAkAAACoAD7+XUo4m/M60E/6J7OaAACVEGET\nAAAAYLKUNOn/FjrXHrtOigg2px8AAMqCsAkAAAAw2ftLpNOpOa9rVJOe7mdePwAAlAVhEwAAAGCi\n5PPSO786157sI9UKMqcfAADKirAJAAAAMNGEX+2BU7bQQOnJvub1AwBAWRE2AQAAACY5lSK9t9i5\n9nR/qWagOf0AAOAKhE0AAACASd76RUq5kPO6dpD0WG/z+gEAwBUImwAAAAATJJyRPvrNufbsACmo\nmjn9AADgKoRNAAAAgAneXCidz8h5HRkijb3WvH4AAHAVwiYAAACgnB1Lkj793bn23EAp0N+cfgAA\ncCXCJgAAAKCc/WeelJ6Z87pBqHRfD/P6AQDAlQibAAAAgHIUc0r633Ln2vODpGq+5vQDAICrETYB\nAAAA5ejVeZI1K+d1k9rSXd3M6wcAAFcjbAIAAADKyf4EafJK59qLgyU/H3P6AQDAHQibAAAAgHLy\n8hwpy5bz+pI60q1dzesHAAB3IGwCAAAAysGuOOn7Nc61l4ZIPt7m9AMAgLt47ITd1atXa9q0adq3\nb58yMjLUsGFDDRw4UIMGDZKPj2v/Wnbs2KEZM2Zox44dOnXqlCIiIhQdHa2hQ4eqY8eOLr0WAAAA\nKqbxcyTDyHndpp50cxfz+gEAwF0shpH7R17Vl5aWpvvuu0/ff/99vvu7dOmiadOmqVGjRmW+1unT\np/X4448XeC1JGjVqlKZMmVLma2VLSkpSWFiYJCkxMVGhoaEuOzcAAABKZ8tRqcN459rPD0kjOpvS\nDgAADu7IETxuZtNtt92m6dOnS5JuvPFGjR49WtWqVdPSpUv1wQcfaO3aterfv79Wr16tkJCQUl/n\nxIkT6t27t7Zv3y6LxaIbb7xRgwYNUv369ZWWlqbt27dr+vTpOnXqlKveGgAAACqol2Y5v+4QJQ1j\ngjsAoIryqJlNM2fO1PDhwyVJ//znP/XGG2847Z87d66GDBkiSRo3bpzefvvtUl+rb9++Wrx4sapX\nr665c+fq2muvzfe406dPq1atWqW+zsWY2QQAAFCxrD8sXf6qc23Oo9LgDmZ0AwCAM3fkCB61QPib\nb74pSapfv75eeeWVPPsHDx6sYcOGSZI+/vhjpaSklOo6P/74oxYvXixJ+uijjwoMmiS5NGgCAABA\nxfPiLOfXXZpIgy41pRUAAMqFx4RNR48e1dq1ayVJt9xyi3x9ffM97o477pAkXbhwQQsWLCjVtT74\n4ANJUrNmzRznAwAAgOd5+xdp4Tbn2qs3SBaLKe0AAFAuPCZsWrlypWO7R48eBR7XvXt3x/aKFStK\nfJ1jx47pr7/+kiTddNNNsvBJAgAAwCN9+rv0zE/OtW7RUp825vQDAEB58ZgFwnft2uXYvuSSSwo8\nLiwsTLVr19apU6e0c+fOEl9nzZo1ju2uXbvKarVq+vTpWrBggeLi4hQYGKg2bdpo5MiR6tSpU4nP\nDwAAgIrvm1XS2O+ca9X9pQ9vYVYTAKDq85iwKS4uzrFdr169Qo+tV6+eTp06pePHj5f4Onv37nVs\ne3t7q0uXLtq8ebPTMXPnztWbb76pW265RRMnTlRgYGCJrpGUlFTgvuTk5BKdCwAAAK41fb101yTn\nWjVLumZHPKMOC3dKtZpKHW+TmnQjeQIAVEkeEzalpqY6tosKd7L35x5TXLmDoHvvvVfHjx9Xnz59\ndMcdd6hu3bo6fPiwPvvsM61bt04//PCDUlJSNHv27BLdbpe9SjwAAAAqlgVbpdFfGLIZOZ/tfJWh\nn4NvV9ft/jLSN8lydK20+UcpvIV01cNS5zsInQAAVYrHrNlktVolSRaLRV5ehb9tHx8fpzElkZ6e\n7tg+fvy4xo4dq19//VVjxoxRr169dPfdd2vVqlUaPHiwJPssp1mzZpX4OgAAAKhYft8tjfjEkDUr\nJzjyUpZ+qHmP+qTEyrDWkPVUy5wBJ/dIsx+Tpj8oZZX8cycAABWVx4RN1atXlyQZhqGMjIxCj01L\nS3MaU5rrSPYZSG+//XaeY3x8fPTpp586Qq2vvvqqRNdITEws8M/BgwdL3DMAAADK5q/90uAPDF2w\nOs9Q+ipkrEb4LZD1VCtJkvVUKxlZFz0VefMUadajkmGUV7sAALiVx4RNNWvWdGwXtuZR7v25x5Tm\nOr169VJAQEC+x9WvX1+XXnqpJOdFxYsjNDS0wD+l6RkAAACltylGGvCedC7dOWj6OPgp3R44xT6b\nyeZvL9r8nWc3OU7yg7T+a/c3CwBAOfCYsCk6Otqxffjw4QKPs9lsio2NzTOmuFq0aOHYrl+/fqHH\nZu8/ffp0ia8DAAAA8+2Kk/pOkM6kOdf/W+N5ja3+PxlZvo5ZTdnynd0kyVj1MbObAABVgseETdmz\niCRp/fr1BR63ZcsWx212uccUV4cOHRzb2bfjFSR7f0GznwAAAFBxHTwpXfeOdOqiZ8q8GPSmngn6\nQJKcZzVlK2B2k+XkHunQCne1CwBAufGYsKlr166Op7jNnTu3wOPmzZvn2B40aFCJr9OwYUNHSFVY\nqJWVlaXNmzdLki655JISXwcAAADmiU2Uer8txSU715+q/qHGB70uSfnOaspW4Oymjd+5ulUAAMqd\nx4RNPj4+uv322yVJixcvzjcISk5O1qeffipJ6ty5s9q2bVuqa917772SpI0bN2r58uX5HvP999/r\n5MmTkqRhw4aV6joAAAAofwln7EHT4VPO9QcCv9TbNf4ty99LN+U7qylbAbObUo5tdXG3AACUP48J\nmyTpueeeU2hoqGw2m0aOHKkNGzY49sXFxWnYsGE6fvy4LBaL3nrrrXzP8e6776pbt27q1q2b9uzZ\nk+8xDzzwgFq1sv8W68Ybb9Rvv/3m2GcYhqZNm6axY8dKkurVq6dHHnnEVW8RAAAAbpSYal+jaW+C\nc3149Zn6JPgpR9BU2KymbPnNbko5k1DA0QAAVB4+ZjdQnsLDwzVz5kxdf/31iomJUefOndWiRQv5\n+/tr165dslqtkqR33nlHPXv2zPccBw4c0MqVKyVJKSkp+R7j6+urefPmqUePHjp27Jh69+6thg0b\nKjIyUjExMUpIsH+IiIiI0Jw5c3iCHAAAQCVwNs3+1Lmtsc71YR2l8QnPyMuWs7h3obOasv09u8mv\nzjZH6UyWocIfMQMAQMXnUTObJOmaa67Rpk2bNGTIEPn6+mrPnj3aunWrrFarunTpokWLFunJJ58s\n83WaNm2qrVu36qGHHlLNmjV15MgRrV27VgkJCQoJCdF9992njRs3qlOnTi54VwAAAHCn8+nS4A+k\ntYec6/3bSlPul+Lk56gVZ1ZTtotnNx01eHAMAKDysxiG5z5fNTU1VYcPH5bValVUVJRq165d5JiD\nBw8qLi5Okv3Jc0FBQUWOsVqtiomJUWJiokJCQtS8eXN5e3uXuf/8JCUlORZCT0xMVGhoqFuuAwAA\n4CnSrdLQj6RF253r17SQFjwuBfpL/3p9iN44/4ckKSOhnawnOhT7/L4Rmx2zm/4VeK3eeG62izoH\nAKBo7sgRPOo2uosFBQWVeBHwpk2bqmnTpiUa4+vrq+bNm5doDAAAAMxnzZRGfZ43aLqiqTT3UXvQ\nJEkpkR21d+8qRVuMYs9qclzjVCv51t6tfYZFqXU7uqhzAADM43G30QEAAADFkWWT7pwkzdrkXG/f\nQFr4hFQj1x1vo64erM/TahVvraaL/b120+dptTTqqkFl7hsAALMRNgEAAAAXMQzpoW+lH9Y411tE\nSr8+JYVWd65ffUlHWeqN0rnE0s1MSk3sKEu90brqEmY2AQAqP8ImAAAAIBfDkMZNlSb+6VxvXFta\nMk6qE5L/uOFJQfLLtJXqmv6ZNg1Pql70gQAAVAKETQAAAEAu42dL7y52rtWrKS19WmoQlv+YtMQz\narU/tkzXbbU/VheSzpTpHAAAVASETQAAAMDf/rtQemWucy28hj1oahpe8DifxavkZ80s07X9rJny\nXvxXmc4BAEBFQNgEAAAASPrkN+nZn51rNQPtazS1rFvwOCP1vKxzfnNJD9bZS2WcS3PJuQAAMIuP\n2Q0AAAAAZvt6pfTw9861IH/7U+c6NCx8bOaaLbKEhUhhOYs5ZWRYda4YoVH16oHy83P+SJ65erN8\ne3ctbusAAFQ4hE0AAADwaD+tk+7+yrlWzVea+5h0ZbOix/v27ponHFq6YJmOxZ0ocmz9ehEafP01\nJWkXAIAKj9voAAAA4LHmb5FumSjZjJyar7c042GpZ8vSnTP5TEqxgiZJOhZ3QmfOpJbuQgAAVFCE\nTQAAAPBIv+2SRnwiZWbl1Ly9pB8fkAa0K/15d+0+lKfWvGmUhg/trWZNo/Iev+dg6S8GAEAFxG10\nAAAA8Dir9ktDPpTScz1AzmKRJt8tDe9UtnM3blRXu/ccVHqGVaE1a6jbVR1Vv16EJKlPryvVqkUT\nrfxrk5KSU+Tv56tGDeuV7YIAAFQwFsMwjKIPQ2WRlJSksLAwSVJiYqJCQ0NN7ggAAKBi2Rgj9XpL\nOnPR+t2f3SY90NM11zhzJlVHjh5X61bN5O2d92aCrCybduw6oEYN6yokOMg1FwUAoBTckSMwswkA\nAAAeY2ec1HdC3qDp7ZtcFzRJUkhIkNqFRBe439vbS+3bFrwfAIDKjDWbAAAA4BEOnJCue1s6fdF6\n3OOHSOP6mdMTAABVEWETAAAAqryjiVLvt6XjZ5zrT/eTXhxiTk8AAFRVhE0AAACo0uLP2IOmmNPO\n9Qd7Sv+90b4wOAAAcB3CJgAAAFRZp1OlPu9I+xKc67d1lT4eQ9AEAIA7EDYBAACgSjqbJvV/V9p+\nzLk+opM06S7Ji0/CAAC4BT9iAQAAUOWcS5cGvi+tP+xcH9BO+uF+ycfblLYAAPAIhE0AAACoUtKt\n0rCPpBX7nOs9W0jTx0p+Pub0BQCApyBsAgAAQJVhzZRu/kxavNO5fmVTac6jUoCfOX0BAOBJCJsA\nAABQJWTZpDsmSbM3O9c7REkLnpBqBJjRFQAAnoewCQAAAJWezSY98I00ZY1zvWVdadFTUmh1c/oC\nAMATETYBAACgUjMM6amp0pfLnetNaktLxkkRweb0BQCApyJsAgAAQKX24izp/SXOtfqh0tKn7f8E\nAADli7AJAAAAldabC6TX5jnXIoLtQVOTcHN6AgDA0xE2AQAAoFL6aKn0r+nOtdBAafFTUotIc3oC\nAACETQAAAKiEvlohPfqDcy3IX/rlSal9lDk9AQAAO8ImAAAAVCpT10r3TnauBfhJ8x+XujQ1pSUA\nAJALYRMAAAAqjbmbpVv/J9mMnJqvtzTzYalHC9PaAgAAuRA2AQAAoFJYslO68VMpMyun5u0lTX1Q\n6tfWvL4AAIAzwiYAAABUeCv3SUM/lNIzc2oWi/T1PdKwjub1BQAA8iJsAgAAQIW24bB0/fvS+Qzn\n+me3SWOuNKUlAABQCMImAAAAVFjbY6W+E6Szac71CTdL919jTk8AAKBwhE0AAACokPYlSH0mSInn\nnOuv3CA92deUlgAAQDEQNgEAAKDCOXJauu5tKf6Mc/0f/aXnB5nTEwAAKB7CJgAAAFQox5Ol3m9L\nRxKd62Ovld4caV8YHAAAVFyETQAAAKgwTqdKfd6R9p9wrt9xlfThLQRNAABUBoRNAAAAqBDOnJf6\nTZB2xDnXb+ws/e9OyYtPrgAAVAr8yAYAAIDpzqVLA9+XNsQ41we2l767T/LxNqcvAABQcoRNAAAA\nMNUFq3TDR9LK/c71Xi2lnx6S/HzM6QsAAJQOYRMAAABMY82UbvpUWrLTud61mTT7USnAz5y+AABA\n6RE2AQAAwBRZNum2/0lztzjXL2soLXhCCqpmSlsAAKCMCJsAAABQ7mw26b7J0tR1zvVWdaVFT0k1\nA01pCwAAuABhEwAAAMqVYUhP/Ch9tdK53jRcWjJOCq9hTl8AAMA1CJsAAABQrp6fKX241LnWIFRa\n+rRUL9ScngAAgOsQNgEAAKDcvD7f/ie3OsH2oKlxbXN6AgAArkXYBAAAgHLxwRLp3zOca6GB0uJx\n0iWR5vQEAABcj7AJAAAAbvflcunxKc61GtXsi4G3a2BOTwAAwD0ImwAAAOBWU9ZI933tXAvwk+Y/\nLl3exJyeAACA+xA2AQAAwG1mb5Ju+5/9CXTZ/HykWQ9L3S8xry8AAOA+hE0AAABwi8U7pJs+k7Js\nOTVvL2nag1Lftub1BQAA3IuwCQAAAC63fK809CMpIzOnZrFI394rDb3MvL4AAID7ETYBAADApdYf\nlga+L6VlONe/uF0afYUpLQEAgHJE2AQAAACX2RYr9ZsgpVxwrr87Srq3hzk9AQCA8kXYBAAAAJfY\nGy/1eUdKPOdcf22Y9EQfc3oCAADlj7AJAAAAZRZzSrruHSnhrHP9n9dLzw00pycAAGAOwiYAAACU\nyfFkqfc70tFE5/ojvaTXh9sXBgcAAJ6DsAkAAACldirFPqPpwAnn+l1XS++PJmgCAMATETYBAACg\nVJLPS30nSDvjnOs3Xy5NvFPy4pMmAAAeiY8AAAAAKLHUC9LA96VNR5zrgy+Vvr1X8uZTJgAAHouP\nAQAAACiRC1Zp6IfSqv3O9d6tpGkPSb4+5vQFAAAqBsImAAAAFFtGpjTyE+m33c71q5tLsx+Vqvma\n0xcAAKg4CJsAAABQLFk26daJ0vytzvWOjaT5j0vV/c3pCwAAVCyETQAAACiSzSbdO1n6ab1zvXU9\nadGTUkigKW0BAIAKiLAJAAAAhTIM6bEp0uSVzvVmEdKScVLtGub0BQAAKibCJgAAABTIMKR/TZc+\n/s25HhUmLR0n1a1pSlsAAKACI2wCAABAgV6fL/3fQudanWBp6dNSo9rm9AQAACo2wiYAAADk673F\n0vMznWth1e23zkXXMacnAABQ8RE2AQAAII+Jy6Qnf3SuBQdIvz4ltW1gTk8AAKByIGwCAACAkx9W\nSw9861wL9JPmPy51amxKSwAAoBLxMbsBs9hsNq1evVr79u1TRkaGGjZsqB49eiggIKDM5162bJk2\nbdpU5HHVq1fXfffdV+brAQAAuMqsjdLtX9oXBs/m5yPNflTqFm1eXwAAoPLwyLBp1qxZeuyxx3T0\n6FGneo0aNfTPf/5Tzz77rLy9vUt9/pkzZ+r9998v8rg6deoQNgEAgApj0Xbp5s+lLFtOzcdb+vkh\n6brW5vUFAAAqF48LmyZOnKj7779fkhQaGqoBAwaoWrVq+uOPP3Tw4EH9+9//1t69ezV58uQyXyso\nKEj33HNPgfuDg4PLfA0AAABX+HOPNOxjKSMzp2axSN/dKw3uYFpbAACgEvKosGnPnj0aO3asJOnq\nq6/WvHnzVLNmTUn22+oefvhhffbZZ/r666/Vq1cv3X777WW6XkhIiN57770ydg0AAOBeaw9Kgz6Q\n0jKc6/+7Q7q5izk9AQCAysujFggfP368MjMzVa1aNU2ZMsURNEmSl5eXPvzwQ7Vp00aS9OKLL8pm\nsxVwJgAAgKph61Gp/7tSygXn+vujpbu7m9MTAACo3DwmbDp37pxmz54tSRo+fLiioqLyHOPj4+OY\n+RQTE6OVK1eWa48AAADlaU+81GeClHTeuf76cOmx68zpCQAAVH4eEzYtX75caWlpkqS+ffsWeFzu\nfYsWLXJ7XwAAAGY4fEq67m3pxFnn+nMDpX8NNKcnAABQNXjMmk3bt293bF966aUFHte8eXNVr15d\n586d044dO8p0TZvNpjVr1mjXrl1KS0tTWFiYOnTooBYtWpTpvAAAAGURlyT1fluKTXKuP9Zbem2Y\nOT0BAICqw2PCpkOHDjm2GzZsWOixUVFR2r17tw4ePFimax4/flxXXnllnnqrVq300ksv6eabby7V\neZOSkgrcl5ycXKpzAgAAz3AyRbruHengSef6Pd2ld0fZn0AHAABQFh4TNp09mzNHPDg4uNBja9So\nIUlKSUkp0zWbN2+u6OhoRUVFKSMjQ5s3b9bmzZu1a9cujRo1SqtXr9a7775b4vOGhYWVqS8AAOCZ\nks9Lfd+Rdh13ro/qIn1+u+TlMQssAAAAd/KYsOn8efvKl15eXvLxKfxtV6tWzWlMSd1www16+OGH\nFR0dnWffmjVrNGbMGB04cEDvvfeeLr30Ut15552lug4AAEBxpV6QBrwrbT7qXB/SQfrmHsmboAkA\nALiIx3ysyA6QbDabsrKyCj02PT3daUxJ9ezZM9+gSZKuuOIKLV261DF7avz48SU+f2JiYoF/ynrr\nHwAAqHrSMqQhH0qrL/qY0Ke1NPVByddjfv0IAADKg8eETdnhjiSlpqYWemz2/txjXKlRo0a66667\nJEkxMTElXog8NDS0wD81a9Z0Q8cAAKCyysiURn4i/b7bud4tWpr5iFTN15y+AABA1eUxYVOjRo0c\n20ePHi3kSCk2NjbPGFfr3LmzY/vw4cNuuw4AAPBcmVnSmC+kBduc650bS/Mek6r7m9IWAACo4jwm\nbGrdurVju7CZRLGxsY7FxHOPcbXc60YVdVsfAABASdls0j2TpZ83ONfb1pd+eVIKCTSlLQAA4AE8\nJmzq0aOHfH3t88SXLl1a4HG59/Xu3dtt/WzdutWx3aBBA7ddBwAAeB7DkB75XvpmlXO9eYS0eJxU\nK8icvgAAgGfwmLApNDRUffr0kSRNnTpVSUlJeY4xDEOfffaZJKl27drq1auXW3pJTk7WpEmTHNfp\n0KGDW64DAAA8j2FIz/4sffqHc71hmLT0aSkyxJS2AACAB/GYsEmSXnrpJUnS2bNndffdd8tqtTrt\nf+ONN7R69WpJ0r///W/HTKjc/vjjD7333nt67733dOLEiTz79+3bp507dxbYQ2xsrK6//nrH2Gef\nfVZeXh71rwEAALjRa/Okt35xrkWG2IOmhrXM6QkAAHgWj3rQbZcuXfTiiy/qlVde0axZs9SuXTuN\nHDlS/v7+Wrp0qZYtWyZJ6tevnx555JF8z/Hzzz/r448/liR169ZNERERTvuXLVum++67T82bN1eX\nLl0UGRmpOnXqKD09XZs3b9b8+fOVnp4uSRoxYoSefPJJN75jAADgSSYskl6c5VyrFSQtGSc1r2NK\nSwAAwAN5VNgkSS+//LJCQ0P13HPPac+ePfrPf/7j2GexWHTvvffq3XffdVrAuyRatGih9u3ba+vW\nrdq/f3++x0RGRurZZ5/VY489xqwmAADgEl8sk8ZNc64FB0i/PiW1qW9OTwAAwDN5XNgkSU888YTu\nuusuzZs3T/v27ZPValVUVJSuv/56NWzYsNCx1157rSOIqlMn768Iu3fvri1btuj48eNauXKljh07\npvj4eHl5eSk8PFwdO3ZU165d871FDwAAoDS++0t68FvnWqCftPAJqWMjU1oCAAAezGIYhmF2E3Cd\npKQkhYWFSZISExMVGhpqckcAAMCdZmyQbvpMyrLl1Px9pPmPS71bm9cXAACoHNyRI3APFwAAQCX1\nyzZp1OfOQZOPt/TzWIImAABgHsImAACASmjZHmnYx5I1K6fmZZG+v08adKl5fQEAABA2AQAAVDJr\nDkqD3pcuWJ3rX94p3XS5KS0BAAA4EDYBAABUIluOSv3flVLTnesfjZHu7GZOTwAAALkRNgEAAFQS\nu49Lfd6Rks87198cIT3cy5yeAAAALkbYBAAAUAkcOild9450MsW5/vwg6dnrzekJAAAgP4RNAAAA\nFdyxJKn32/Z/5vZEH+mVG0xpCQAAoECETQAAABXYibP2GU2HTjnX7+0uTbhZsljM6QsAAKAghE0A\nAAAVVNI5qe8E+1pNud1yhfTZ7QRNAACgYiJsAgAAqIBS0qQB79mfPpfbDZdJk++WvPkUBwAAKig+\npgAAAFQw59OlwR9Kaw461/u2kX58QPL1MacvAACA4iBsAgAAqEDSrdKIT6Rle5zr3aOlmQ9L/r7m\n9AUAAFBchE0AAAAVRGaWdMsX0i/bneuXN5HmPS4F+pvTFwAAQEkQNgEAAFQANpt01yRpxkbnersG\n0i9PSMEBprQFAABQYoRNAAAAJjMMaex30nerneuX1JEWPyWFBZnTFwAAQGkQNgEAAJjIMKRnpkmf\nL3OuN6olLXlaqhNiTl8AAAClRdgEAABgolfmSO/86lyrGyItfVqKCjOnJwAAgLIgbAIAADDJ279I\n4+c412oH2Wc0NYswpycAAICyImwCAAAwwae/S8/85FwLCZB+fUpqXc+cngAAAFyBsAkAAKCcfbPK\nviB4btX9pYVPSJc1MqUlAAAAlyFsAgAAKEfT10t3TXKuVfOV5j4mdW1uTk8AAACuRNgEAABQThZs\nlUZ/IdmMnJqvtzR9rHRtS/P6AgAAcCXCJgAAgHLw+25pxCeSNSun5mWRfrhfur69eX0BAAC4GmET\nAACAm/21Xxr8gXTB6lz/6m5pZGdzegIAAHAXwiYAAAA32hQjDXhPOpfuXP94jHT7Vaa0BAAA4FaE\nTQAAAG6yK07qO0E6k+Zc/++N0the5vQEAADgboRNAAAAbnDwpHTdO9KpVOf6i4OlZ/qb0xMAAEB5\nIGwCAABwsdhEqffbUlyyc/2pvtL4oaa0BAAAUG4ImwAAAFwo4Yw9aDp8yrn+wDXS2zdJFos5fQEA\nAJQXwiYAAAAXSUy1r9G0N8G5fuuV0ie3EjQBAADPQNgEAADgAmfT7E+d2xrrXB/WUfrqbsmLT10A\nAMBD8LEHAACgjM6nS4M/kNYecq73bytNuV/y8TanLwAAADMQNgEAAJRBulUa/on0517n+jUtpOlj\nJX9fc/oCAAAwC2ETAABAKVkzpVGfS4u2O9evaCrNfVQK9DenLwAAADMRNgEAAJRClk26c5I0a5Nz\n/dIoaeETUo0AU9oCAAAwHWETAABACRmG9NC30g9rnOstIqVfn5JCq5vTFwAAQEVA2AQAAFAChiGN\nmypN/NO53ri2tGScFBFsTl8AAAAVBWETAABACYyfLb272LlWr6a09GmpQZgpLQEAAFQohE0AAADF\n9N+F0itznWvhNexBU9Nwc3oCAACoaAibAAAAiuGT36Rnf3au1Qy0r9HUsq45PQEAAFREhE0AAABF\n+Hql9PD3zrUgf/tT5zo0NKUlAACACouwCQAAoBA/rZPu/sq5Vs1XmvuYdGUzc3oCAACoyAibAAAA\nCjB/i3TLRMlm5NR8vaUZD0s9W5rXFwAAQEVG2AQAAJCP33ZJIz6RMrNyat5e0o8PSAPamdcXAABA\nRUfYBAAAcJFV+6UhH0rpmTk1i0WafLc0vJN5fQEAAFQGhE0AAAC5bIyRrn9POpfuXP/0VunWrqa0\nBAAAUKkQNgEAAPxtxzGp7wTpTJpz/e2bpAd6mtISAABApUPYBAAAIOnACanPO9LpVOf6+CHSuH7m\n9AQAAFAZETYBAACPdzRR6v22dPyMc/3pftKLQ8zpCQAAoLIibAIAAB4t/ow9aIo57Vx/sKf03xvt\nC4MDAACg+AibAACAxzqdar91bl+Cc/22rtLHYwiaAAAASoOwCQAAeKSzaVL/d6Xtx5zrIzpJk+6S\nvPiUBAAAUCp8jAIAAB7nXLo08H1p/WHn+oB20g/3Sz7eprQFAABQJRA2AQAAj5JulYZ9JK3Y51zv\n2UKaPlby8zGnLwAAgKqCsAkAAHgMa6Z082fS4p3O9SubSnMelQL8zOkLAACgKiFsAgAAHiHLJt0x\nSZq92bneIUpa8IRUI8CMrgAAAKoewiYAAFDl2WzSA99IU9Y411vWlX4dJ4VWN6cvAACAqoiwCQAA\nVGmGIT01VfpyuXO9SW1pyTgpvIY5fQEAAFRVhE0AAKBKe3GW9P4S51r9UGnp0/Z/AgAAwLUImwAA\nQJX15gLptXnOtYhge9DUJNycngAAAKo6wiYAAFAlfbRU+td051pooLT4KalFpDk9AQAAeALCJgAA\nUOV8tUJ69AfnWpC/9MuTUvsoc3oCAADwFIRNAACgSpm6Vrp3snMtwE+a/7jUpakpLQEAAHgUwiYA\nAFBlzN0s3fo/yWbk1Hy9pZkPSz1amNYWAACARyFsAgAAVcKSndKNn0qZWTk1by9p6oNSv7bm9QUA\nAOBpCJsAAEClt3KfNPRDKT0zp2axSF/fIw3raF5fAAAAnoiwCQAAVGobDkvXvy+dz3Cuf3abNOZK\nU1oCAADwaIRNAACg0toeK/WdIJ1Nc65PuFm6/xpzegIAAPB0hE0AAKBS2pcg9ZkgJZ5zrr9yg/Rk\nX1NaAgAAgAibAABAJXTktHTd21L8Gef6P/pLzw8ypycAAADYETYBAIBK5Xiy1Ptt6Uiic33stdKb\nI+0LgwMAAMA8PmY3YLZz584pIyNDoaGh5XK9Y8eOyTAMSVJYWJgCAwPL5boAAFQFp1OlPu9I+084\n1++4SvrwFoImAACAisAjZzadOnVKTzzxhOrVq6egoCCFhYWpRo0aGjVqlLZt2+a263799ddq0KCB\noqKiFBUVpR9++MFt1wIAoKo5c17qN0HaEedcv7Gz9L87JS+P/FQDAABQ8Xjcx7IdO3aobdu2ev/9\n93X8+HFVq1ZNwcHBSk1N1dSpU3X55Zdr2rRpLr9ufHy8nnzySZefFwAAT3AuXRr4vrQhxrk+sL30\n3X2Sj7c5fQEAACAvjwqbUlNTdf311yshIUE1a9bUzz//rPPnz+vMmTNat26dWrdurfT0dN1+++3a\nvHmzS6/90EMPKSkpSZdeeqlLzwsAQFV3wSrd8JG0cr9zvVdL6aeHJD+PXxQAAACgYvGosOmdd97R\nkSNHJElTp07ViBEjZPl7cYfOnTtr8eLFCgkJUXp6up555hmXXXfKlCmaNWuWGjRooPHjx7vsvAAA\nVHXWTOmmT6UlO53rXZtJsx+VAvzM6QsAAAAF85iwyTAMffHFF5Kkq6++Wn379s1zTL169XT//fdL\nkpYsWaKDBw+W+bonT57UY489Jkn6+OOPFRQUVOZzAgDgCbJs0m3/k+Zuca5f1lBa8IQUVM2UtgAA\nAFAEjwmb1q9fr7g4+4qiw4cPL/C4ESNGOLbnzJlT5us+/PDDOnXqlEaMGKEhQ4aU+XwAAHgCm026\nb7I0dZ1zvVVdadFTUk0e5goAAFBheUzYtGnTJsd2ly5dCjyuY8eO8vHxyTOmNGbMmKGffvpJwcHB\n+uCDD8p0LgAAPIVhSE/8KH210rneNFxaMk4Kr2FOXwAAACgejwmb9uzZ49hu0qRJgcf5+vqqXr16\nkqTdu3eX+nqJiYkaO3asJOnNN990nBMAABTu3zOkD5c61xqESkufluqFmtMTAAAAis9jnt+SmJjo\n2K5du3ahx9auXVtHjhxRUlJSqa/3+OOPKyEhQV27dtUDDzxQ6vPkp7C+kpOTXXotAADK0+vzpTcW\nONfqBNuDpsaF//gGAABABeExYVNqaqokyWKxyN/fv9BjAwICnMaU1Pz58/Xdd9/J19dXX3zxhby8\nXDuBLCwszKXnAwCgIvhgiX1WU26hgdLicdIlkeb0BAAAgJLzmNvosgMfwzBkGEahx9psNqcxJXHm\nzBnHTKZnnnlGbdu2LfE5AADwNF8ulx6f4lyrUc2+GHi7Bub0BAAAgNLxmJlNQUFBju20tDQFBhb8\nGJu0tLQ8Y4rrqaee0rFjx9S8eXO98MILJW+0GHLfEnix5ORkNW3a1C3XBQDAHaaske772rkW4CfN\nf1y6vOBlFgEAAFBBeUzYVKdOHcd2fHx8oYHM8ePH84wpjpiYGE2aNEmS9Pzzz+vUqVN5jsldS0pK\nUmxsrONavr6+xbpOaCirowIAqobZm6Tb/md/Al02Px9p1sNS90vM6wsAAACl5zFhU6tWrRzb+/fv\nLzBsSk1N1YkTJ/KMKY7sGVGSdOeddxZ5/D/+8Q/94x//kCRt2rRJHTp0KNH1AACozBbvkG76TMqy\n5dS8vaRpD0p9uQsdAACg0vKYsOnKK690bK9cuVJ9+/bN97hVq1Y51nS64oorSnQNX19f1a9fv9Bj\n0tPTHbObQkNDHbfz+fn5lehaAABUZsv3SkM/kjIyc2oWi/TtvdLQy8zrCwAAAGVnMYpaLbsKadu2\nrXbs2KHo6Gjt2bNHFoslzzF33nmnvv76a3l7eys+Pl61a7v2OctLlixRnz59JEkTJ07Uvffe69Lz\nJyUlOZ5Wl5iYyC13AIAKZ/1hqddbUsoF5/r/7pTu6W5GRwAAAJ7LHTmCxzyNTrIv3i1J+/bt04cf\nfphn/5o1a/T9999Lku644458g6bk5GTFxsYqNjZWVqvVvQ0DAFBFWDOlX7dLD34j9X47b9D03iiC\nJgAAgKrCY26jk+wB0uTJk7V8+XI9+eSTio2N1S233CJ/f38tXbpUzz//vDIzM1W3bl29+uqr+Z7j\n+eef18cffyxJWrdunTp37lyebwEAgEojLUP6dYc0Y6M0Z7OUfD7/414bJj3ep1xbAwAAgBt5VNjk\n7e2tWbNm6YYbbtDy5cv11ltv6a233nI6plGjRpo1a5bq1atnUpcAAFReKWnS/K32gGnBNulceuHH\n//N66bmB5dMbAAAAyodHhU2SFBYWpj/++ENTp07VtGnTtG/fPlmtVkVFRWngwIG69957VaNGjQLH\nh4aGOhYBL82i3tWqVXOMr169euneBAAAFcjpVPvMpRkb7U+YS88scoiCA6TnB0lP97MvDA4AAICq\nw6MWCPcELBAOACgPx5OlWZuk6RukP/ZIWbaix9QKkm64TBreUerdSvL3dXubAAAAKII7cgSPm9kE\nAABK59BJaeZGafpG6a8DUnF+X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          }
        }
      ],
      "source": [
        "# visualizing the results\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(thetas2, 1 - flux_front, \"o\", label=\"flux monitor - front\")\n",
        "ax.plot(thetas2, -flux_back, \"o\", label=\"flux monitor - behind\")\n",
        "\n",
        "ax.plot(thetas2, diff_front, \"*\", label=\"Diff monitor - front\")\n",
        "\n",
        "ax.plot(thetas2, diff_back, \"^\", label=\"Diff monitor - behind\")\n",
        "\n",
        "ax.plot(thetas2, reflection_analytic, label=\"analytical\")\n",
        "\n",
        "ax.legend()\n",
        "\n",
        "ax.set_ylabel(\"R\")\n",
        "ax.set_xlabel(\"$\\\\theta$ (degrees)\")\n",
        "\n",
        "plt.show()"
      ],
      "id": "a2b63f6b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We can also visualize the relative error across the different monitors."
      ],
      "id": "0c80376b-1cc5-416a-86d6-e9fef313a21b"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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b4Jl2Dsr24vJK3E4rRERK/r1luKr+n1tc+0Q+mVyB22mFuJ1WiP03HrSbGerdS+iRwM/e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KFQ0DvIg95BHtwzIZpynZFNRwtJSClgQ1phoxfdzlRQqefbXTl8uysHtUrByB5+TPqjOk8PmTMT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\n1atXc8stt5CQkNCs8YwYMYJ16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RBCtGctfb8tKeZCCCFanNVq5bnE5+qTdwDMVjOhHqEO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\nMN4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odpeI5CSbzUbMTz9zZdw4rImJdvHCDz5I0FtvYvLz++dg/FVYMxL2L4AmA+GBiU7M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\nI3LOHK5O+wRbSopd3KdRI0qOfQ+P8uVdkN0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nJ2Oz2WjTpg0//vgjERERXLp0iaNHj3Lm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T+w5C+6OSQiImKs9OPHOfvhR5R68w0swZru9pqtfR3Wj3EfD68CTYZA7W7g4+fx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\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pkmABDxERERERVSleX8+BSMy7CRMRERERERERUdHUGjVWXlmJKEVU3ragxrLLy7Cg04IS\n7S8SieD97TeIiIhATni4tj3hh6WwrBsAu65dyiVvKjtBrdausqMICUH2tWuAIJRoX5GlJXLu3oN1\n40blnCVVVizgISIiIiKiKqWo4p0biTdwMvIkxjYZa8SMiIiIiIiIiIjIHFlILDCx2UR8GPKhtu1k\n1EkkZiXCxdqlRGOI5XL4rliOiFdehTolJa9REBA9Ywb8fv0Flv7+5ZA5lYYqKUl3lZ38x6kELOvV\ng21QEGw7BsG6aVOILCzKL1Gq9FjAQ0REREREVd6NxzewKnQVzt49jmwZ0N6nPRq58koZIiIiIiIi\nIqKqrnfN3th8YzNup9zGkLpD8G7guyUu3skn8/WFz5LFeDjmbUCtBgBoMjIQ+f54+O38FRJ7+/JI\nnQohqNXIvnbtySo716+XeJUdsZ0d5O3awbZjEOQdgmDh4V7O2VJVwgIeIiIiIiKq8uaenwvF5UtY\nuFeN3e3EWFVtFVZ0W2HqtIiIiIiIiIiIyMTEIjG+bPclbGW2qGZXrczjyNu0gcesWYj75httW+6D\nB4j6YDqqrV4FkURiiHSpEOr0dCiOHs1bZefff0u3yk79+k9W2WnShKvsULlhAQ8REREREVVpgiBg\ncnhNyLafh1QDjDqswcfeJ3C7+W3Ucapj6vSIiIiIiIiIiMjE6rvUN8g4TiOGI/u//5C6e7e2LSMk\nBAmLF8N9+nSDzEH6KaOiEP3hrBLFiu3sIG/fHrZBQZAHdYCFO1fZIeNgAQ8REREREVVpqpgYyLfu\nh6DJ25apge//ckXNcZ6mTYyIiIiIiIiIiCoVkUgEzy8+R+7du8gKDdW2J67fAMuAenDo19eE2VV8\nqsePoU5JgWXt2gX6LAMCIHV3hyo+Xu++lg3qwzao45NVdqQspSDj47OOiIiIiIiqNAtvb3h9+SWi\nZ8zUtrl17w2JpaUJsyIiIiIiIiIiospILJPBZ9lSRLzyqk4xSdzcubDr3g1ia2sTZlfxKOPikPzz\nz8gIDkF2WBhs2rZBjU2bCsSJRCLIgzogdVfe6kdie3vI27fLK9oJ6gCpm5uxUycqgAU8RERERERU\n5Tn064fMc+eRdugQvL/7Fnbdu5s6JSIiIrOiUqmQkZEBhUIBpVIJjUZj6pSIiKgKEovFsLCwgK2t\nLeRyOaRcHYGITCxaEY2H6Q/RxqtNqfazcHeH7/JleDDiDQi5uZDVqAHflStYvFMGQlYWElev0W5n\nXbgITUYGxHJ5gViHfv0gdXODbceOsA4M5Co7ZHb4jCQiIiIiIgLg8fFsuIwdC5mvj6lTISIiMitJ\nSUmIi4szdRpEREQAgKysLKSlpQEAPD094eTkZOKMiKgqSslOwbpr6/DzzZ9hL7PHwcEHYWNhU6ox\nrAMD4fnll0j78yB8FiyAxN6+nLKt2ASVClmhoRCUKsjbtC7QL/Pzg0X16lA+fJgXr1Qi4+xZ2HXt\nWiBW3qYN5G1KV2xFZEws4CEiIiIiIgIgtrJi8Q4REdEz4uLikJSUpNMmlUohFoshEolMlBUREVVF\ngiBAo9FApVJp22JjY5GbmwsPDw8TZkZEVU2uOheD9w1GQlYCACAxOxFbw7bivSbvlXosx0ED4TBw\nAP9v/QxlfDwyQk5CERKCjFOnoElLg3WTJpD/skNvvG1QEJJ//BEAYNWoEQCeT6qYWMBDRERERERU\nBLVGDYVSAQdLB1OnQkREZFS5ubk6xTtubm6wt7eHTCYzYVZERFTV5ebmIi0tDQkJeV+cJyUlwdnZ\nGRYWFibOjIiqCplEhoG1B2LdtXXatk3XN2FIwBA4WzmXejwW7+StmpN15QoUwSFQnDyJnP/+KxCT\nde0aVMnJkOpZec3x5cGwbhIIefv2kLq4GCNlonLBAh4iIiIiIiI91Bo1/or4C2tCV6P/eREGBw6D\n09Chpk6LiIjIaFJSUrS/e3l5wdHR0WS5EBER5ZPJZHB1dYVUKkVMTAyAvL9Zbm5uJs6MiKqSUY1G\n4ddbvyI1JxUeNh4Y33Q8HGSGvfhLnZYGZWQkrBo0MOi45kIZF4eMkBAogkOQcfo0NOnpRe+g0SDj\n1Ck4vPRSgS6rBg0q7XmiqoUFPERERERERM94nPUYo/8ajfjYexh/QIOWdwTE7v8GVo0aw7pRQ1On\nR0REZBRZWVkA8q4Itre3N3E2REREuuzt7REbGwtBEJCZmWnqdIioirGT2WFy88nIyM3A0HpDYSW1\nMuj4OffuIfL98VCnpaHmbzth4e1t0PFNQVAqkXn5srZoJyc8vMT7SpycIO/QARZeFf88EBWFBTxE\nRERERETPcLFygY3YGp//pIZf/P8blSpETZmCmrt3QcIvMYmIqApQq9UAAAsLC4jFYhNnQ0REpEss\nFsPCwgK5ubnav1lERMb0at1Xy2Xc9OPHET19BjQKBQDg0YQJ8PvxR4itrctlvvKkjI2FIjgYGSEh\nyDh1GpqMjJLtKBLBKrAxbIM6wrZjEKwaNYKI70moCmABDxERERER0TNEIhHGNXsf29u9j2l7Ndp2\nZWQkYj7+BD5Lf+D9yYmIqMrg3zwiIjJX/BtFRJVR9vUb2uIdAMgJ+w+J6zfAbeIEE2ZVMkJuLjIv\nXYYiJBgZwSHIuX27xPtKnJ1hG9QB8g5BkHdoD6mTUzlmSmSeWMBDRERERESkR0ffjlgb1BThqSkI\nOHZP255++DCSt22H85tvmDA7IiIiIiIiIiKqjFzfH4fsm/9B8c8RAIDDwIFwefcdE2dVNE12NqKm\nT0fmqdPQlPS2hmIxrAMDIe8YBNugjrBq2ICr7FCVxwIeIiIiIiIiPUQiETb32QxJDwEPhg5DdliY\nti9u/nxYN20C68BAE2ZIRERERERERETmRhAEKJQK2MnsyrS/SCyG9/dz8WDECDgOHgSnN94w+xXH\nxFZWyL19p9jiHYmLC2w7dIC8YxDk7dpxlR2iZ1TpAp7s7GyEhIQgMjISlpaWqFOnDlq1amWW85R1\njJ9//hmJiYnFxgUEBKBHjx6lyomIiIiIqLKzEFsAMsBnyWLcH/zyk+WLlUpETZ2Gmrt3QeLgYNok\niYiIiIiIiIjILFxLuIYll5YgW5WN7S9uL3PhjcRWjpo7f4XIwsLAGZaNMjoaiuAQ5D56CI8ZM/TG\nyDt2RO62bbqNYjGsmzSBbccgyIM6wqpBfa6yQ1SEKlnAo1arMXfuXMydOxdpaWk6ff7+/lixYgV6\n9eplFvM87xjffPMNbty4UWyuw4cPZwEPEREREVEhZNWrw+ubbxA1ebK2TRkVhejZH8N3+TKzvwqK\niIiIKi61Wo3Tp08DyLsIz83NTaf/6tWrSEtLg7u7O+rWrVvkWLm5ubh16xbS0tKg0Wjg4uKC+vXr\n68SoVCrcvn0bycnJ0Gg0sLe3R2AlX3WwNOeQzEtVeuxK8volIiLTUaqV+DDkQxx+cFjbdvThUXSr\n0a3MY5pD8Y4mOxsRr76KnNt38hpEIri8/bbelXNsOwYheds2SFxdYduhQ17RTrt2kDg6Gjdpogqs\nShbwjBw5Ej/++CMAoFatWggKCkJGRgb++usv3L17F3369MH27dvx+uuvm3weQ+Var149dOtW+B+I\nF154oQxHSERERERUddj36onMESOQvH27tk1x5AiStmyBy1tvmS4xIiIiqtTS09MRFBQEANi2bRtG\njBih0//uu+/i7NmzGD58OLY/9f+Up2VlZWHmzJnYsGEDsrKytO0DBgzA3r17AeQV7nz++edYvny5\nzoWErVu3xpkzZwx8VOalJOeQzFNVeOwyMzMxY8YMbNy4EdnZ2dr2p1+/RERkehYSC6g0Kp22Hy7/\ngE7VOkEqNvxX8tm3bsHS3x8iicTgYz9NbGUFSJ8qJBIEZJz8Fw79+haItXnhBfjt+g1W9bnKDlFZ\nVbkCnvXr12sLYiZOnIglS5ZA/P9/QBISEtCnTx9cvHgRo0ePRrt27eDn52eyeQyZa+vWrbF8+fIy\nHQsREREREeVxnzkDiiuXoLwepm2LX7AQNs2awbpJExNmRkRERFS4sWPHYtv/b2fg6+uLatWqQSwW\no0GDBtqY2bNnY/78+QAADw8P1KxZExKJBA0bNjRJzs/r8uXLyMjIgKenJ2rXrm3qdMhEKsPz4J13\n3sFPP/0EoPDXb0UTExODu3fvAgA6dOhg4myIiAxncvPJOBF5AhpBAwDwsPFAak4qXKxdDDpPyq5d\niP3iSziPGgX3aVPLPI4mNxeZ588jIzgEyugo+C5bpjfOtkMH5Pz3n3ZbERKst4BHbGkJ6wr6f0ci\nc1GlCnjyryIBgKZNm2Lx4sXaghgAcHNzw44dO1C/fn3k5ORgzpw52LBhg0nmMVauRERERERUMmm5\nafgx7Ef82SUSn90G5Dn/71CpEDl1Kmrt3s0lgYmIiMjomjRpAqlUioCAAL39MTEx2osEZ82ahe++\n+65ATFZWFlasWAEAGDNmDNauXavzWWRF9MYbb+DGjRsYM2YM1q9fX2RsceeQzFdxj11pngfmKDo6\nGjt27ABQ+Ou3Itq1axcmTpwIAFAqlZBKq9RXVURUifk7+qO/f3/cSr6FKc2noK13W4OOLyiViJs7\nT7s6dOLatbCqFwD7F18s8Ri5kZFQBAcjIzgEGWfPQnhqdUZlbCwsPD0L7GPbMQiJGzfCullT2AZ1\nhG3nzs99LESkX5X6X9GxY8cQHR0NIG9FG4meJcVq166Nvn37Yu/evfjtt9+watUqyGQyo89jrFyJ\niIiIiKhkzseex8rQlYAtsPIlMWbs1mj7VNExiP5oNnxXroBIJDJhlkRERFTVrFmzpsj+CxcuQKPJ\n+3/LO++8ozfm+vXryMzMBACMHj26whfvlFZx55DMV2V/7Ery+iUiIvPy0QsfwUpqBbHI8P+fUqek\nIO2vQzpt0bM/hszPD1aFrMymyclB5rnzUITkFe3kRkQUOr4iJAROr75aoN26WTPUPX0KEnv758qf\niIpXpd6J/fXXX9rfe/bsWWhcfl9aWhpOnz5tknmMlSsREREREZVMl2pdEOCUd2Xv+QAx/milW6ij\nOHYMSZs2myAzIiIiosIlJiZqf3dzcytzDBEZH1+bREQVj42FTbkU7wCA1M0NvkuXQmRhoW0TsrPx\naMIEqJ76m5H78CGStv+Ih2PH4lbrNnj0zjtI3rqtyOIdAMgIOam3XSSVsniHyEiq1Ao8169fBwC4\nuLjA19e30LimTZvq7NOpUyejz2PoXDMzM3H06FFERERAJBLBw8MDL7zwAlxdXUtySEREREREVZ5Y\nJMZ7Td7D1ONT4WDpAMepIyD79h/kXr+hjYlftAjWzZrCplkzE2ZKREREFVFubi7u3r2L7Oxs+Pn5\nwcnJqUT7Xb16FWlpaXB3d0fdunW17WFhYUhKSsLNmze1bWfOnIG1tbXeMfJdunQJcXFx2u2WLVvC\nysoKQN5qINnZ2fDx8UHNmjUBAIIgIDIyEtHR0bCxsUHjxo0LjJ+ZmYno6GgkJSXB0dERNWvWhMVT\nXzyVVE5ODh48eIDU1FS4ubnBx8enwDh37txBbGysdkWhuLg4nDyp+2WUp6cnateurXP8+s5hYWJj\nYxEdHQ2JRAJfX1+4uLgUu4++c6fRaPDw4UM8fvwYXl5e8PHxKXacssyjVqu1583f3x/2hXwBp1Ao\ncO/ePUgkEgQEBJTqtkamOieFPXZleR6U1zGV5DXyrPzXb3h4uLbt2ddvu3bttKtlPc9r88GDB1Ao\nFHBxcUHNmjWLXVE0MjISEREREIvFaNeunbY9OTkZERERsLS0RN26dfU+fxQKBa5cuYJ79+5p2/79\n998CdyDo0KFDkTkQEVVlNs2awfOLzxHz8SfaNlV0DCInToJVw4bICA5G7oMHJR5P6u4Oeccg2AZ1\nhLydYW/5RURlIFQhdevWFQAIzZo1KzLu0aNHAgABgDBt2jSTzGOoXBs2bKjtf/ZHJBIJL774ohAa\nGlrqY8yXlJRU6M+9e/e0cyUlJZV5DiIiIiIic6HWqIUd/+0Q0nPSBUEQhJxHkcLNVi8IYQH1tD+3\nOncRlPz/LxGVo6SkJL7fplIp63Pm7t27QlhYmHD37t1yzI4UCoUwffp0wcHBQedzu759+wp3794V\nkpOTte3btm0rsH/r1q0FAMLw4cN12l966aVCPxcszc/t27e1Y9aoUUMAIEyePFkQBEFYs2aNULNm\nTW1s+/bttbEXLlwQpkyZItSpU6fAmHK5XBg2bJhw586dEp2j4OBg4aWXXhKsra11xpFIJELv3r2F\n3377TRs7ZsyYYo9pzJgxJTqHT1OpVMKqVauEevXqFfiMtXnz5sKvv/5a5DE8e+62bdsm1KpVS2es\nJk2aCCdOnCjROSnpPCtXrhR8fHy0c4jFYmHkyJFCcnKydp8HDx4IQ4YMESQSiTbO2dlZWLZsWZFz\nmcM5KeyxK8vzoDyOqajXSFFK8vpNT08v87yXLl0S+vXrJ1haWuqM6ebmJkybNk1ITEwsNLfvvvtO\nACBYWloKgiAI9+7dE/r16yeIRCLtOA4ODsKnn34qqFQqnX3Pnz9fon93lEplic6TIPBvFRFVXTFz\nvtb5PKrEPw0bCREj3hAS1q4Vsm7eFDQajakPhahCM/RnNFVqBZ60tDQAKPQKg3xP96enp5tkHkPm\nKhaL0bBhQ/j5+cHT0xPJyck4deoUoqOjcfDgQRw9ehQ7duzAgAEDipxLH2dn51LvQ0RERERUUYlF\nYrxW7zXttszXB97ff4fI98dr21QxMYiZ9RF8V62ESFyl7lpMREREpZSeno4ePXrg7NmzAAC5XI6A\ngAAoFAocOHAA586dwx9//FGmsRs2bIiUlBTExcXhzp07AIC2bdtqV+x4WnJyMsLCwgAALVq00K64\nA0Dvij0AMGPGDCxYsAD29vbafQIDA7X9y5Ytw5YtWwAAjo6O8Pb2hlQqxb1796BQKPDzzz/jzz//\nxOHDh9GyZctCj+OTTz7BN998o9329vaGj48PEhMTERkZiUOHDuH+/ft4+eWXAQB16tRB+/btcfny\nZWRmZsLDw6PAKit16tQp8tw9Kzs7G6+88or2sbC0tET9+vWhUqnw33//4dKlSxgyZAjee+89rFy5\nstgVTL799lt8/PHH2nOXlpaG27dvIzQ0FD179sTRo0d1VjYpq48++gjff/89XF1d0apVK0RFRSE6\nOhpbtmzB/fv3ceTIEURERKBLly6IiopCQEAA5HI5rl27hqSkJEycOBEAMGHChAp3TsryPDD0MRX3\nGilKSV6/z65aU9J5f/rpJ7z11ltQKpUAAD8/P7i6uuLu3btISEjAokWLsHfvXhw+fBi1atUqMs+b\nN2+iU6dOSEhIQL169WBjY4OwsDCkpqZizpw5iI2Nxdq1a7XxdnZ2aN++PWJiYrSr8LRv377AuMWd\nWyKiikalUWHvnb2IVkRjUvNJBhnT48OZyLl9G5n//39kUaQeHrDtGAR5UBDk7dpBYmtrkByIqBwY\noKiowsi/iqVnz55FxuXk5GirpIq66qI85zFUrr/88ouQkJBQoF2lUgnr1q3TXrVibW1dpgp1lKBa\nHrwikIiIiIgqudjv5xa4ounxunWmTouIKimuwEOlxRV4zNfo0aO1j82MGTOEzMxMbd+NGzeEJk2a\nCM2aNSvTCjz51q1bp3fFjqft379f74o7z8pf5aNp06aCVCoVFi1aJOTm5uqNXbFihbB69WohLi6u\nQN/OnTu1q8LUrVu3wCod+RYtWqTNq23btsKFCxd0+lUqlXDo0CHh448/LrBv/srk+lZZeVZx53DC\nhAk6q7Y8vXpNZGSk0LNnT23/kiVL9I6Rf+5atmwpWFpaCj/88IPOuTtx4oRgb28vABCaN29ebM6F\nyZ+nefPmgpWVlbBhwwZBrVZr+58+p1u2bBHatm0rtG7dWrh165Y2JiYmRmjevLkAQLCzsxPS0tLM\n9pwU99iV5nlgyGMqyWukJEry+i3NvJcuXRJkMpkAQPD39xfOnDmj7VMqlcLy5cu1KzE1adJEyM7O\nLjBG/go8FhYWQtOmTYVevXoJDx480PYnJycLffr00eZ97ty5AmMsW7asTKvt6MO/VURkzjQajXA4\n4rDQd3dfodHmRkLglkDhbrLh/r1SJiUJt7t207/Kzpsjhcfr1wtZ4eFcZYeoHHEFnudgaWkJIO9+\n0kV5uv/pq02MOY+hch0yZIje/SQSCd5++23Y2tpi2LBhyMrKwnfffYd169YVOd+zkpKSCu1LSUkp\ntkKfiIiIiKgycJ82FVmXLiErNFTbFr94CaybNYNNixYmzIyIiKj8+c0q2woxFUnE9y8ZfMy7d+9i\n06ZNAIDRo0dj3rx5Ov0NGjTAX3/9hQYNGhh87ud15coVfPfdd5g6dWqhMe+//36hfa+88grq1q2L\nZs2a4datWzh06BBeekn3HD9+/BiffPIJAKBVq1Y4duyY9jPTfBKJBL169UKvXr2e42iKdv/+faxc\nuRIAMGDAAKxfv16n38fHB/v27UOLFi1w48YNfPHFFxgzZgxsC7my/cKFC1i6dKl2dZt8HTt2xOef\nf44PPvgAly5dQnh4OAICAsqc96VLl7B69WqMHj1ap33q1KnYvXs3Tp48iXHjxsHBwQFhYWFwdHTU\nxnh6emLlypVo06YN0tPTceDAAQwbNqzCn5OiGPqYSvIaKQ/FzTt79mzk5ubC2toaf//9t87n91Kp\nFOPHj0d2djamT5+O0NBQbN++HWPGjNE7Vv4KPvv374eFhYW23dHREVu3bkX16tWRlZWFn376Ca1a\ntTLgURIRVRxqQY0fLv2AiLQIAIBG0GDp5aVY0mWJQcaXOjmh+qaNiJ3zNVQJCbAODIRtxyDYtGkL\nia3cIHMQkXFVqfXc7ezsAAAKhaLIuKf78/cx9jzGynXo0KGoX78+AJRpOV4nJ6dCf55+00dERERE\nVJmJLCxg/d2nkDg4PGlUqxE17QOokpNNlxgRERGZrR07dkAQBIhEInz22Wd6Yzw8PIoshDEVW1tb\nTJ48+bnGCAwMxAsvvAAAOH78eIH+7du3IzMzEwCwaNGiAsU7xvLzzz9Do9EAAObMmaM3xtLSEp9/\n/jmAvIsa9+/fX+h4Hh4eGDdunN6+V155Rfv7hQsXypoygLwinLfffltvX36xVGZmJiZMmKD3c9zW\nrVvDxcUFQF4x0NMq6jkpiqGPyRCvkbIoat7ExET89ddfAIBRo0YVevHt5MmT4eHhAQDYunVrkfPN\nnj1bp3gnn6urKzp37gygfB83IiJzJxVLC9wy62TUScRlxBlsDln16qi+bi1q7d0Dr6++hF337ize\nIarAqlQBT/Xq1QEAkZGRRcY9evSowD7GnsdYuQLQVr/HxMQgJyenTGMQEREREVVV91Lu4cPgD9H7\n3xGQfKZ7pasqLg7RMz+E8P8vA4iIiIjynT17FgAQEBCAGjVqFBrXs2dPY6VUYm3btoW1tXWJ43Ny\ncnDz5k2cO3cOJ0+e1P7kryh++/btAvsEBwcDANzc3NChQwfDJF4GZ86cAQB4e3ujcePGhcb17t0b\nIpFIZx99OnToAKlU/8L41atX1xZDxMU93xd7HTp0gEQi0dv39POtU6dOhY6RH/dsLhX1nBTF0MdU\n2teIoRQ179mzZyEIAoC84yiMVCpF9+7dAQDnz5/XFjbp06VLl0L7/P39AZTv40ZEVBF0r94djV0b\nQywSY1DtQTgw6AA85B6mTouIzFSVKuBp2LAhACA2NhaJiYmFxoWFhWl/L8sStYaYx1i5AtB5c6RW\nq8s0BhERERFRVbT00lIM/H0gDt4/CJVGhQ32oXAeo3ubgoyQEGT+/ws6IiIionzR0dEAgJo1axYZ\nZ463qPfz8ys2RhAE/Pjjj+jQoQPkcjnq16+P1q1bIygoSPuTv/JOampqgf3zL2ysW7euIVMvtZiY\nGABPihEKY2dnB3d3d5199PH09CxyHBsbGwBAVlZWadIsIH8FFX2eLvAoSdyzuVTUc1IUQx9TSV4j\n5aGoeZ/Ot7jjrF27NoC8c56SkqI3RiqVwtXVtdAx5HK5dgwioqpMJBLhs7afYXf/3fiq/VfwlBf9\nd4+Iqjb9Ze2VVNeuXbF8+XIAwLFjx3SW33zakSNHAOQtidm+fXuTzGOsXAHg+vXrAPJuh5X/ZoiI\niIiIiIpXx6kOBAja7T/u/4F3x+yG9aXLyLp8GWJ7e3h/9y3kbduaMEsiIqLyFfH9S6ZOoULKXwlb\nJpMVGWeqW0cVpSSfIY4aNQpbtmzRbru5ucHLyws2NjbalWHCw8Px+PFjKJXKAvtnZ2cDgHaVHlPJ\nz6O4xwl48ljl76NPYSvNPCt/pZSyKuk8JYl7NpeKek6KYuhjMtXn7EXN+3S+pfl3p7DjLGyFp2eV\n5+NGRFRR1HOuZ+oUiKiCqFIr8PTq1QsODg4AgFWrVumNefz4MXbt2gUAePHFF2Fra2uSeYyV68mT\nJ3Hu3DkAQLdu3Uq9PxERERFRVdazRk/UcnhyVXwth1pIVSvgs3gR5B2DUHP3Ltjx/9lERESkR/5n\nf8nJyUXGJSUlGSMdgzpw4IC2eGfkyJG4d+8e4uPjERoaitOnT2tvoRUUFFToGM7OzgCAhIQEo+Rc\nGEdHRwAlexzyY/L3qawq4zmpjMf0rKfzLe44n74rQEU7TiIiIqKKrEoV8NjY2GDGjBkAgKNHj2Lp\n0qU6/Tk5ORg1ahQyMzPzljP77DO94/z4449Yvnw51q1bV27zGGKM8+fP4/Hjx3pzBIDTp0/j1Vdf\nBZC3fNuHH35YaCwRERERERUkEUswNnAs6jjVwcJOC7Gr/y40cWsCC09PVF+7FjJfX1OnSERERGaq\nfv36AICrV68WeVv7S5cuGSslg9m3bx+AvNuDbdq0qdDbhN25c6fQMQIDAwEAYWFhSEtLK3UOIpGo\n1Pvok/84hYWFFXkroPDwcCgUCgBAgwYNDDK3uapI56Skz4OKdExllX+MAHDx4sUiY/P7a9SoUS6r\nCRnq9UlERERU2VSpAh4AmDFjBjp27AgAmDx5Mvr06YO5c+fis88+Q5MmTXDgwAEAwFdffYWmTZvq\nHWPOnDmYOHGitsCmvOZ53jEWLlwIT09PdOjQAe+88w4+/fRTLFmyBJ999hm6du2K9u3bIzY2FgCw\nePFitGzZsuiTR0REREREBfSu2Ru/9fsNPf16Qiyqcm+xiIiIqIy6d+8OAEhJScEff/xRaNzWrVuN\nlZLB5F9U6OXlVegX9aGhobh+/XqhY/Tv3x8AoFKpsHr16lLnkH8LoNzc3FLv+7SePXsCyLugcseO\nHYXGbdiwQft7jx49nmtOc1eRzklJnwcV6ZjKqkmTJnB3dwcAbN68udC4O3fuIDg4GED5HePTt+h6\n3tcoEVFF9jjrMc7FnDN1GkRkRqrcp8symQz79+/HiBEjAACHDh3CrFmzMGfOHISHh8Pa2hpLlizB\nJ598YvJ5nneMNm3awN3dHf/++y/Wr1+Pr7/+GlOnTsWcOXNw7NgxCIKAhg0b4s8//8TkyZOf63iJ\niIiIiKoqsUhcqsIdQRCgjI4ux4yIiIioIhg0aBC8vb0BAFOmTEFcXFyBmK1bt+Lw4cPGTu25VatW\nDQBw5coV3Lt3r0B/fHw8RowYAalUWugY3bt3R5s2bQAAn3/+Of75559CY5++3U8+Ly8vAMDt27dL\nlfuzBg4ciBo1agAAZs2ahbt37xaIOXnyJH744QcAQFBQEFq0aPFcc5q7inROSvo8qEjHVFYSiQQT\nJkwAAJw7dw7z588vEJOVlYVRo0ZBo9FAIpFg0qRJ5ZJL/uMCPP9rlIioIlLkKrDs8jK8uPtFTD8x\nHYpchalTIiIzUfg7pErM3t4e27ZtwxdffIGDBw/i0aNHsLS0RN26ddG/f3/t/acLM2LECMTGxha7\ndOTzzvO8Y0yZMgVTpkzBlStXcPnyZcTExODx48ewtraGr68v2rRpg2bNmhWbAxERERERGYY6JQXR\nH81G1vVrqLVnD6SurqZOiYiIiExEJpNhzZo16N+/P+7fv49mzZph6tSpaNasGRQKBfbu3YutW7di\n9uzZ+Oabb0ydbqmMGDECy5YtQ2ZmJjp06IDJkyejSZMmEAQB586dw8qVK+Hj44N+/fph9+7dhY7z\n008/oXXr1khISECvXr3wyiuvoF+/fvD29kZSUhIiIiJw8OBBxMbGIiwsTGffTp064cCBAzhz5gxm\nzZqFbt26wdraGgDg6emJ2rVrl+hYpFIptmzZgh49eiA+Ph4tW7bElClT0LZtW6hUKvzzzz9YuXIl\ncnNz4eDgoLNCS2VVkc5JSZ8HFemYnseHH36Iffv24cKFC5g5cyZOnz6NYcOGwcXFBeHh4fjhhx8Q\nHh4OAPjss8/QuHHjcsmjTZs2kMlkyM3NxXvvvYdp06bB09NTu2JXhw4dymVeIiJzoNKo8Mr+VxCl\niAIAZKmysPnGZkxoNsHEmRGROaiSBTz5/P39MXHixFLvV9rVeco6j6HGaNq0aaG36SIiIiIiIuPI\nunIFkdOmQRUdAwCImjED1devh0giMXFmREREZCp9+/bF5s2bMW7cOMTExGDmzJk6/flfbFe0Ap5W\nrVph8eLF+OCDDxATE4NZs2bp9Ddv3hy///47pk+fXuQ4NWvWxNmzZzF8+HCcPn0av/76K3799dcC\nce3bty/Q9u6772LDhg24efMm5s6di7lz52r7xowZg/Xr15f4eDp16oQ//vgDI0eORExMDL744osC\nMXXr1sWvv/6KOnXqlHjciqyinJPSPA8qyjE9D5lMhsOHD+ONN97AgQMHsGfPHuzZs0cnxtLSEl98\n8UWB160hubi44OOPP8bnn3+OM2fOYMiQITr9SqWyyBW6iIgqMqlYigH+A7AydKW2bWvYVgytNxSu\n1rzQi6iq4/+AiIiIiIiIDEwQBIREheBOyh2MbjQaAJB+4oS2eAcAMk+fQeL6DXAd+66p0iQiIiIz\n8Oabb6Jz587YtGkTLl68iJycHPj5+WHYsGHo3LkzFAqFtkDF3d29wP5NmjSBVCpFQECA3vE9PT21\n+0sKKRx2dnbWxuSvTqJPq1at4Ovri1q1ahV7XJMnT0b37t2xZcsWXLt2DSqVCr6+vujduzcGDx4M\nCwsL1KtXD+3bt0dgYGCh49SsWROnTp3CsWPHcPDgQYSHhyMjIwPu7u6oUaMGXnzxRQQFBRXYz97e\nHufPn8f27dtx8uRJxMTEIDc3F4IgFCi+KO4cAkCPHj1w584d/Prrrzh+/DiioqIgkUhQvXp19OjR\nA4MGDSqy4KCk565t27ZIT09H9erVi4x7nnlcXFy0j7eVlVWhcfmPS/369fX2m8M5Ke6xK83zwJjH\nVFIlef2Wdl5HR0fs378fp06dwp49exAeHg6FQgEXFxe88MILGDp0qPY2ePpUq1YN7du3h6WlZZHz\n+Pn5oX379nr/3QLyVvjp1KkTdu/ejdu3b0OhUECj0QCAdiUeIqLK6s2Gb2JH+A4kZSfB2coZYwPH\nwkFW/J1biKjyEwmCIJg6CaqckpOT4ezsDABISkqCk5OTiTMiIiIiIipfgiAgODIYq0JX4UbiDUhF\nUuwbtA/V7KpBUKnwcNRoZJ4/DwCwCgyE7+JFsPDxMXHWRFTR8P02lVZZnzP37t1DTk4OLC0tDfZl\nNBERkSHxbxURVVS7b+9GXGYc3mzwJuQWclOnQ0RlZOjPaMSGSIqIiIiIiIgAtaDG/AvzcSPxBgBA\nJaiw/lresvwiqRTeCxZA4uIC55Ej4bd9G4t3iIiIiIiIiIiqoMF1BmNck3Es3iEiHSzgISIiIiIi\nMhCpWIp3A3VvibXv7j4kZiUCACw83FHrwH54fDQLIpnMFCkSERERERERERERkRliAQ8REREREZEB\nvVjzRVS3qw4A6Fa9G35+6We4WLto+6W81Q0RERERERERERERPUNq6gSIiIiIiIgqE6lYis/bfg4H\nSwcEOAeUal9BECASicopMyIiIiIiIiIiMneZykzYWNiYOg0iMgGuwENERERERGRgL3i9UOrinawr\nVxDx6hAo4+LLKSsiIiIiIiIiIjJXt5JvYfyR8Rj11yhoBI2p0yEiE2ABDxERERERkQkJgoDEjZsQ\nMeINZF+/jujp0yGoVKZOi4iIiIiIiIiIjECtUePjkx/jlX2vIDgyGGGJYfg74m9Tp0VEJsACHiIi\nIiIiIhNK++Mg4ufNA/5ftJN5/jwSVqwwcVZERERERERERGQMErEEWaosCBC0bcsuL4NSozRhVkRk\nCizgISIiIiIiMpJsVTZSc1J12uz79Ia8XVudtsTVa6A4+a8xUyOqsgRBgCAIxQcSERERERERlZNJ\nzSZBIpJot12sXZCUlWTCjIjIFFjAQ0REREREVM6yVFnYcmMLeu/qjaWXlur0iSQSeM+bB4mb65NG\nQUD0jBlQxsUZOVOiqkFQqZB5/jzi5s7D3d69kR0aauqUiIiIiIiIqArzc/DD4DqD4e/gj6VdlmJL\n7y3wkHuYOi0iMjKpqRMgIiIiIiKqzO4k38GYv8cgKTvvqqndd3bjncB34Cn31MZIXV3hs2AhHo4a\nBWg0AAB1cjKiPvgANTZvhkjKt25Ez0uTkQHFv/9CceQoFCdOQJ2Sou1LP3IU1k2bmiw3IiIiIiIi\nouktp8NSYgmJWFJ8MBFVSlyBh4iIiIiIqBzVcKgBa6m1dlulUWH9tfUF4uStX4DbxAk6bVkXLiJh\n6bJyz5GosouaMRO32rZD1KTJSP39d53iHQBIP3bUNIkRERERERER/Z+NhQ2Ld4iqOBbwEBERERER\nlSMLsQXeafyOdttaag1HS0e9sS7vvgt5u3Y6bYlr10IRHFyeKRJVfhoNhNzcQrtzHzyEMj7eiAkR\nERERERERERHpYgEPERERERFROevv3x+1HWtjdKPROPTyIUxoNkFvnEgigff8eZC6u+u0R8/8EMrY\nWGOkSlThCCoVMs6dQ9z8+dAUUqRj161rgTaxvT3s+/WDz5LFqHv6FCyeed0REREREREREREZk9TU\nCRAREREREVV2FhIL7Oq/C2JR8ddQSF1c4LNwAR6MfAvQaAAA6pQURE37ADW2bIbIwqKcsyWqOOK+\nn4vUPXugTk0FAMjbtIVtUIcCcfKOHQELC1h4eMCuW1fYdukKmxbN+XoiIiIiIiIis6YRNDh4/yDu\nptzF5OaTTZ0OEZUzFvAQEREREREZQUmKd/LZtGoFt0mTkLBkibYt69IlJPzwA9ynTy+H7IgqJk2G\nQlu8AwCKY0f1FvBIbG3h/+efsPDxhkgkMmaKRERERERERKUmCAJORp3ED5d+QHhyOEQQobdfbwQ4\nB5g6NSIqR7yFFhERERERkRlyefcdyIOCdNoS129A+vHjpkmIyMgEQUB2+C08Xr0amowMvTG2XXVv\njZV+9BgEQdAbK/P1YfEOERERERERVQgaQYNFFxchPDkcACBAwNLLS02cFRGVNxbwEBERERERmSGR\nWAzvud9D6uGh0x7z4Swoo6NNlBVR+RJUKmScOYvYb7/F3R49cX/AACQs+QGKU6f0xsvbtoXI2hoS\nBwc4DOgPj48+0t56joiIiIiIiKiikoglmNRskk7bqahTeJT+yEQZEZEx8BZaREREREREJhKjiMGG\n6xvwbuC7cLdxL9AvdXaGz6KFePDmSECtBgCoU1MRNe0D1Ni2FSILC2OnTGRwakUGMk6GIP3IUSiC\ng6F56pZY+RRHjsK+R48C7WIrK/j9sgOWtWpBJOVHHERERERERFR5dK7WGc3cm+Fy/GX08euDCc0m\noJpdNVOnRUTliJ9uERERERERGVm0Ihrrr63Hnjt7oNKoYCG2wIcvfKg31qZFC7hNmYyEhYu0bVlX\nriB+8RJ4zJxhrJSJDEoZFwfF0aNIP3IUmWfPQlAqi4xXHD8OQaXSW6RjVbdueaVJRGQWcnJyMH/+\nfADAwIED0ahRI53+zZs3IzIyEo0bN8aAAQMKHUcQBJw8eRKhoaFIS0uDRqNBQEAAXn31VZ24c+fO\n4eLFi0hOToZGo4Gvry/eeustgx+XOSnpOSTzU9kfu+XLlyMlJQWtW7dGDz3FzBVBZTgGIiJTEYlE\nmN16NjSCBg1cGpg6HSIyAhbwEBERERERGVlIZAh23tqp3d55aydGNxoNNxs3vfEuY8Yg88IFZJwI\n1rYlbdwIm5YtYde1S7nnS/S8BEFAzq1bSD9yBIojR5F940aJ9hPJZJC3bQvbrl0haDQQlXOeRETm\nKCsrC59++ikAwM/Pr0ABz+rVq3H27FkMHz680AKG+/fvY8CAAbh27ZpO+4ABA7QFPPHx8Rg0aBBO\nPXPbwtatW1f6Ap6SnEMyT5X9sVuwYAEePHiAyZMnV9jil8pwDEREplTPuZ6pUyAiI2IBDxERERER\nkZENqjMI666tQ1xmHAAgR52Dnbd24v2m7+uNF4nF8P7+e9wfNBiq2Fhte/RHH6HW7l2w8PExSt5E\npSEolci8eDHv1lhHj0IZFVWi/SSOjrDt3Bm2XbvAtn17iOXycs6UiKjye/3113Ht2jVYWlrilVde\nQfXq1SEWi9GgwZMruceOHYtTp05BIpFg0KBBqF27NiQSCapVq5i3aVi7di3i4+PRrFkzvPTSS6ZO\nh0yEzwMiIiIiqkhYwENERERERGRkMokMbzd+G9+c/Qa+tr54N/Bd9PXvW+Q+Uicn+CxahAdvvgmo\nVAAATWoqIqdNg9+2bRDJZMZInahIaoUCGSEheUU7wcHQpKWVaD+LGtVh17Ub7Lp2gXWzZnpvlUVE\nRPqNGjUK3bt3R9OmTfX237x5E2fOnAEAbNy4Ea+//nqBmKSkJOzbtw8AMG/ePEybNq3c8jWWpUuX\n4saNGxgzZkyxhRvFnUMyX8U9dqV5HhARERERmRo/ESMiIiIiIjKBwXUGQ24hR++avWEhtijRPjbN\nm8F96lTEz5+vbcsOvYr4hYvg8dGs8kqVqEiqx4+R9vffUBw5ioxz5wClsvidRCJYBwbCtlte0Y7M\n3x8iEW+QVZVdvHgR+/btw4MHDyCVSuHv74/BgwcjICDA7OYxlzGI8o0dO7bI/uvXr2t/79Spk96Y\nsLAwaDSaImMqs+LOIZkvPnZERFRVpWSn4HbKbbTybGXqVIjIgFjAQ0REREREZAIyiQz9/PuVej/n\nUW8h8/x5KI4f17YlbdkCmxdawa5bNwNmSFQyWVeuIO6rOcXGiSwtIW/bFrbdusKuc2dI3dyMkB2Z\nu5SUFIwZMwa7d+8u0Pfxxx9j3LhxWLx4MWTPucqYIeYxlzGISivtqdXQHBwcyhxDRERERKaXpcrC\nj//9iI3XNkIkEuHg4INwsOT/34gqCxbwEBERERERVSAisRje33+He4MHQxUdo21P3vELbLt25Som\nVC4EpRJqhQJSJ6cCffJ27SCytISQk1OgT+LkBNvOnWHXrSvk7dpBbGNjjHSpgsjNzUX//v0REhIC\nAHjttdfQs2dPKJVK7Ny5E0eOHMHKlSuRmpqK7du3m3QecxmDKrdz587h4sWLyM7ORq1atdCrVy9Y\nWVkVu9/mzZsRGRmJxo0bY8CAAdr2X375Bbdv38bFixe1bfPmzdNbIBYeHq79feXKlXB2dtZujx8/\nHk7///d/+fLlSElJQevWrdGjRw8AwL179/Dvv/8iOjoaXl5eePPNN3XGjoqKQmhoKKKjo5GUlARH\nR0c0btwYrVq1grQUt0zMzc3FmTNncPPmTaSmpsLNzQ01atRAu3btYGlpqY37448/cPnyZSQkJAAA\nrly5gq+//lpnrGbNmuncTqmwc6hPTEwMTpw4gejoaEgkElSrVg2dO3fWOWf6FHbugoOD8fjxY3h5\neaF79+7w8PAo8Tkp6Tw3b97EqVOnkJqairp166Jnz56wsNBdAVKpVOKff/7B7du3IZFI0LZtWzRv\n3rxEc5rynBT22JXleVCex1TUa6S0rl+/jrNnzyIlJQXVqlVDz5494ejoWOx+xn4tlsaZM2fwzz//\nAAACAwPRv3//Mo1DRFTZaQQNhh0Yhrupd7VtG69vxNQWU02YFREZlEBUTpKSkgQAAgAhKSnJ1OkQ\nEREREVUqmZcvC2ENGwlhAfWE2G+/EzQ5OaZOiSoZVXq6kHLggBA5dZpws2UrIfqTTwqNfTj2PSEs\noJ4QFlBPuNOzlxA7d56QceGCoFGpjJhx1VFZ3m/Pnz9fexzLli0r0D958mRt/969e006j7mMUVZl\nfc7cvXtXCAsLE+7evWvQfEhXWFiY0KpVK+1jlP/j6uoq7N27V0hOTta2bdu2rcD+rVu3FgAIw4cP\n12l/6aWXCoxZlp/bt29rx6xRo4YAQJg8ebKgUCiEYcOGCSKRSBvbvn17bez27duFpk2bFjpu9erV\nhZ07dxZ7fnJzc4U5c+YITk5OesdxdHQUZs6cqY0fM2ZMscc0ZsyYEp3Dp8XExAivvfaazvHm/0il\nUuH9998XFApFofs/fe5ycnKEt99+WxCLxTrjWFpaCnPnzi32nBTl2cdoyJAhBfKtU6eOcPXqVe0+\nf/75p+Dr61sg7uWXXxays7PN+pwU9tiV5Xlg6GMq7jVSEk+Pl5qaKgwYMKBAXtbW1kWeI1O9FvUd\ngz67du0SrKysBABC586dhZSUlBKfH0Hg3yoiqnrWhq4VGm1upP1psa2FEKuINXVaRFWWoT+j4Qo8\nREREREREZiZGEQMvW68iY6ybNoXnx7MhdXODXffuRsqMqpKsK6GI/mC6djv92HF4ajQQicUFYh1f\nGwLrFs1h160bLGvVMmaaVEGpVCrMnTsXANCuXTtMmDChQMy8efOwa9cuREZG4uuvvy52VYzymsdc\nxqDK6fbt2+jUqZN2lZAuXbqgWbNmUCgU+PPPPzF48GDs2LGjTGMPHToUTZs2xZUrV/DHH38AAGbO\nnFlg5RUAuHPnDn755RcAwPvvv69dcQeA3hVHBEFAv379EBwcjF69eqFhw4awsrJCjRo1tDGHDx/G\nlStXUL9+fQQEBMDb2xtSqRT37t3DP//8g4cPH+LVV1/F1q1b8cYbb+g9hqysLPTp0wcnTpwAALi7\nu6N79+7w8fFBYmIiIiIicOrUKfz+++/a11jfvn3h6emJtWvXIiEhAU2bNi2wykrLli1LcyoRFRWF\nDh06ICIiAgDQunVrtG3bFiqVCkeOHMF///2HlStX4ty5czh+/DjkcnmR4w0ZMgQHDhxAr1690KBB\nA6SlpWHv3r1ISEjAhx9+CFdXV4wePbpUOT5LEAQMGjQIwcHBGDRoEGrXro3IyEjs3r0bt2/fRp8+\nfbQrufTv3x8+Pj547733IJfLceTIEVy5cgW7du2Ci4sL1qxZU+HOSVmeB4Y8ppK8Rkojf7x///0X\nL774Iho0aIDExEQcOHBAe46Sk5Px3XffFdjXVK/FklixYgUmTZoEjUaD1157DVu2bCnzKj5ERFXF\n8PrD8fPNn5GQlQA7mR3GNBoDe0t7U6dFRIby3CVARIWoLFcEEhEREREZy7mYc8LoQ6OFVttbCY8z\nH5s6HaoCNBqNoEpP19+XkyPcbN5Cu7JOWEA9IfPyZeMmSHpVhvfbf//9t/YYNm7cWGjcRx99pI27\nf/++SeYxlzGeB1fgMV/t27cXAAhWVlbCH3/8odOXnZ0tvPHGG4K7u7v28SvNCjz51q1bp90/vZB/\n8/fv3693xZ1n5a+k4e7uLri5uQnnz58vNPbIkSNCeHi43r6HDx8KXbp0EQAIDg4OheY1atQobV5T\np04VsrKyCsSkpKQIv//+e4H2hg0bFrrKyrOKO4fdunUTAAgSiUTYunWrTp9arRY+//xzbZ7vvvuu\n3jHyz52np6fg6ekpXLp0Saf/8ePHQt26dQUAgre3t6Aq4yp2+fN4eHgIvr6+QlhYmE7/6dOnBalU\nKgAQZs2aJfj6+grjxo0TcnNzdY5p2LBhAgBBLBYLjx49MttzUtxjV5rngSGPqSSvkZJ4ejwnJyfh\nzJkzOv2pqalCjx49BACCSCQSTpw4UWAMU78WC1uBZ9asWdoxp0yZImg0msJOQ5H4t4qIqqI9t/cI\nCy8sFFKyS7dqGREZnqE/oyl42RwREREREREZ3czgmRj912iciz2HLFUWttzYYuqUqJIScnOhOPkv\nYr+agztduyH28y/0xolkMsg7Bmm3Jc7OUMbGGSlLquyCg4O1v3fu3LnQuKf78q/6N/Y85jJGhfCF\nQ9l+1nQsfMw1Hcs+bmH2TXr+MQzg5MmT+PfffwEAX331FV588UWdfktLS2zYsEHvCjimFh8fj9Wr\nVxe5kk3Xrl1Rt25dvX3VqlXDr7/+ChsbG6SmpmLXrl0FYsLCwrB582YAwPDhw7Fo0SJYWVkViHNw\ncED//v3LdiAlcOrUKRw5cgQAMH369AIrlIjFYnzxxRfo168fAGDjxo2IjIwsdLzY2Fhs2bIFzZo1\n02l3cXHBnDlzAADR0dG4cOHCc+UdFxeHrVu3on79+jrtbdq0waBBgwAA33//Pdzc3LBs2TKdlZnE\nYrF2JReNRoMDBw7ojFFRz0lRDH1MJXmNlEZ8fDxWrFiB1q1b67Tb29vjl19+gYuLCwRBwPfff19g\nX3N7LSqVSowcORLff/89RCIR5s2bh8WLF0MkEhW7LxER5RlYeyCmtZgGB8vy/f8qERkfb6FFRERE\nRERkBhq7Nsaf9//Ubu8I34G3Gr0FZ6uyfWmXdeMGLOvUgVgmM1SKVIGp09KgOBEMxbGjUASHQKNQ\naPsUwcEQlEqI9NxSxXHgQFh4e8OuWzdYN2kCkURizLSpErtx4wYAwMrKCn5+foXG1atXT/t7WFiY\nSeYxlzGo8vn9998BADKZDGPHjtUbY2Fhgffffx+TJk0yZmrF8vLywsCBA59rDFdXV7Rt2xZHjhzB\n6dOnMXLkSJ3+X375BYIgAAC+/PLL55rreezduxcAIBKJMHny5ELjPvjgA+zfvx8qlQp//PFHoY9p\nQEAAevbsqbevR48e2t+vX79eoFijNOrVq4cuXbro7QsKCsLOnTsBAO+99x4kev6+16hRA9WrV8fD\nhw9x/fp1nb6Kek6KYuhjMsRr5GkeHh4YMmSI3j4nJyeMHDkSixYtwuHDh5GVlQVra+sSj23M16JC\nocDLL7+Mv//+GxYWFti0aROGDx/+XGMSEdET4UnhSMlJ0W7Xcaqj93MlpVqJy/GXtdtSsRTNPZrr\nHTNaEY0oRZR220vuBV87X72xoQmhyFXnarcD3QJhKSl4a8TUnFTcTr6t3ba3tEddJ/3FpneS7+gc\nk7+jP5ysnArEKdVKXH18VeeYmrg10TtmjCIGMRkx2m1PuSe8bb31xl5/fB1KjVK73dClIWSSgp+1\npeak4n7qfe22ncwO/o7+ese8n3ofqTmp2u2aDjX1FmMpNUqEJT55XygVSdHQtaHeMeMy4hCX+eSi\nK3cbd3jKPfXG3ky6CaX6yTEFOAfoPaa03DQ8THuo3ba1sIWfg5/eMR+mPUR6brp229fOt9BjupV8\nS+eYApwD9I5ZVbGAh4iIiIiIyAy8WvdVbLy+EY+zHgPI+5AjPTe91AU8giAgafMWxC9cCKchQ+D5\n2aflkS5VAMqoKKQfOYr0Y0eRef4CoFLpjdOkpyPzwgXI27Yt0GfbqRNsO3Uq71SpCoqKyvsA2Nvb\nu8gr7n18fLS/F7XSQXnOYy5jFCc5ObnQvpSUlFKNRcZx+XLelyaNGzeGvb19oXEdOnQwVkol1qZN\nG4jFJVvcXaFQ4MyZM7hz5w7S0tKQm/vkS524uLwvGfQ938+ePQsAqFWrFvz99X/5YQz5j1OdOnXg\n5eVVaFzbtm0hk8mQm5uLixcvFhrXqlWrQvucnJxgZWWF7OxsJCUllT3pYubx8PDQ/l7UCjEeHh54\n+PBhgX9fKuo5KYqhj6k0r5GSaNOmjd5Cq3wdOnTAokWLoFKpcO3aNbzwwgsFYkz9WoyLi0OnTp1w\n6dIl2NnZYffu3ejevXuZxyMiooJWXlmJo4+OareXdF6CbjW6FYhLV6ZjzN9jtNtOlk4IHhpcIA4A\n9t/dj+VXlmu332n8DiY1119cPv3EdMRmxGq3/375b3jZFvy7ejXhKt4/8r52u71Pe6zuvlrvmMsu\nLyvxMb116K0SHdO+u/tKfExTj081+DEtubikZMeUm44RB0eU6Jj23tlb4mOaeHRiiY4pND60xMe0\n8MLCEh/T0ANDS3RMVRULeIiIiIiIiMyAldQKoxqOQkhUCMY1GVfolU9FUaemIvqj2VAczXvDnPzT\nT7B5oRXse/c2dLpkhgRBQPaNMCiOHkH60WPIuXmzRPuJrKyQ++iR3gIeovKSnp53ZZ5cLi8yTiKR\nwNLSEjk5OVA8tXKUMecxlzGKY463WaKiPX6cV7RbVLFASfpNwdNT/9W8T0tOTsbMmTOxfft2ZGdn\nFxmblpZWoC0+Ph5A3i1+TCn/cfL21n9Vdj6ZTAZXV1dER0dr99GnuNeqpaUlsrOzkZOTU/pkn+Lk\nVPDK9Hyyp1ZoLEncs7lU1HNSFEMfU0leI6VRmn8nns3LXF6LO3bs0P6+ceNGFu8QERER6cECHiIi\nIiIiIjMxosEIvNnwzbIPIBIh59YtnaaYTz6FvE0bSBwdny85Mkua3Fxknj2H9KNHoDh6DKq4uOJ3\nAiBxcYFtl86w69oN8rZtIC7FbRaIDCH/qn+ptPiPpmQyGXJycsr0xa0h5jGXMSqEL1KLjymtseVw\nNWb/pXk/ZqKoVZlK0m8KsmJu0ZmTk4MuXbogNDQUQN7tmFq1agVvb2/Y2NhoVxLZs2cPwsLCoNFo\nCoyRf8seUx9/afLIX3Elfx99jHU8JZ2nLPlU1HNSFEMfU3GvkdIqzb8TT+dlTq/Frl27IjQ0FImJ\niZg8eTIaN26MgADeMoOIiIjoaSzgISIiIiIiMhNi0fMtsy+xt4fP4sV48PrrEJRKiO3t4f3dtyze\nqWTUqalQBAcj/chRZISEQJORUaL9ZLVqwa5bV9h27QrrwECIirgNA1F5s7GxAVBwVQd9srKyABS/\nek15zWMuYxSnqFvLpKSkoFatWqUaj8qfi4sLACA2NrbIuJiYGGOkY1CbN2/WFgxs2LABo0eP1hsX\nGhqKsLAwvX3u7u4Aynb7PENydXUFAERHRxcZp1QqkZCQoLNPZVUZz4m5H1Np/p14Oi9zei02btwY\nixcvRvfu3REdHY1OnTrhyJEjaNiw4XONS0RET9RxqgOF8slKno5WjnrjpGIpWnk+uYWlrYVtoWN6\n23qjpceTW2762vkWGtvYtTF8bJ/cFthCYqE3zt7SHs3dn6w8XcexTqFj+jv6IyUnRbvtYOmgN04q\nluqMaSsr/Jg85Z5o5t5Mu63v9lH5Gro0hKfNk5X1CjsmO5kdmrg10W7Xcij8/VcNhxoIzA7Ubttb\n6r+drkQkQaDrkzg7mV2hY7rbuKOxa2Pttqe88NUAA5wC4Gr15P8LRR1TQ5cnf6dr2NUodMxqdtXQ\nwKVBsblKRBLUd66v3baXFX4r4aqKBTxERERERESViHXjRnD/8EOk7tsHn0WLIPP1KX4nMnu5kVF5\nt8Y6chSZFy4AanXxO4nFsG7WDHZdu8K2axdY1qxZ/okSlZCDQ96HrikpKUXGZWZmQqVSAQDs7Uv/\nwZ4h5jGXMYpT1G1wyDw1bdoUR48exbVr16BQKGBrq/9LhlOnThk5s+d38uRJAECzZs0KLRgAoC0s\n0Kd169b4+++/cefOHURERMDPz69UORhqVZdmzZrhyJEjuH37NuLj47XFDM86d+6ctkivefPS3wq1\nIqlI56SkzwNzP6YzZ85Ao9FoV/95Vv6/ExKJBI0aNdK2m8Nr8WmBgYE4fvw4unXrhtjYWHTp0gX/\n/PMPAgMDi9+ZiIiKNaHZhBLF2cvssbHXxhLF9vPvh37+/UoUu6jzohLFNXFrgi19tpQodlLzSSWK\ns5fZl3jMAbUHYEDtASWKXdJlSYnimro3xfYXt5codlqLaSWKc7B0wI8v/Vii2EF1BmFQnUElil3e\nbXmJ4pq6N8WOvjuKDwQwvdX0EsU5WDrg136/lii2qnq+yzuJiIiIiIjI7DgNfx1+P25n8U4lIAgC\nIoa9jrvduyPu2++QefZskcU7Imtr2HbvBq9vv0WdkyHw+3E7XMaMZvEOmR1/f38AeSsK5N9eSp8H\nDx5of69du7ZJ5jGXMajy6d+/PwAgOzsbGzZs0BujVquxatUqY6ZlEPkrSRVl165dePToUaH9Q4cO\n1RZffP3116XOIX8Vq4wSrlRXmAED8r7c0Wg0WLZsWaFxS5YsAZBXQPHSSy8915zmriKdk5I+D8z9\nmGJiYrBnzx69fWlpadi6dSsAoFu3bjoruJnDa/FZDRo0wPHjx+Ht7Y2EhAR06dIFly5deu5xiYiI\niCoDFvAQERERERGZMaVGid23d+PH/0p2xQ2Qd6WxyEL/8rdUsYhEIkiLuT2DxNUVjq++At9VK1H3\n9ClUW74cjoMHQersbKQsiUov/0p7jUZT5FX/T3+h17hx40LjynMecxmDKp9OnTqhdevWAICPP/4Y\nx48f1+lXKpUYP358hbyFVv4tcUJDQ3Hw4MEC/cePH8c777wDNze3Qsdo0KAB3nzzTQB5t/757LPP\noFQqC8RlZGTgr7/+KtBe8//FqxcvXoRGoynTcQBAhw4d0LFjRwDA3LlzsWvXrgIxCxYswG+//QYA\nGDlyJKpXr17m+SqCinROSvo8MPdjcnFxwbhx4wr8DcnMzMSIESMQFxcHAPjwww91+s3htahPQEAA\nTpw4gWrVqiEpKQndunXDuXPnSrQvERERUWXGW2gRERERERGZIaVGiX139mHdtXWIUkRBbiFH31p9\nC73Xd0kJggAolRDJZAbKlJ6HOiUFiuBgZPx7Cl7ffA2RtODbdNtuXZF++LBOm6y2P+y6dIVdt66w\nCgyEqJDbKRCZqz59+uCDDz4AABw8eBCtWrXSG/fnn38CAKysrNC1a1eTzGMuY1DltGnTJrRv3x7J\nycno1q0bevfujWbNmkGhUOCPP/7A3bt3sX37dgwfPtzUqZbKu+++i8WLFyM9PR19+/ZFr1690KRJ\nEwiCgHPnzuH48eN4/fXXoVar8csvvxQ6zsqVK3Hnzh38+++/mDNnDjZt2oRevXrB29sbSUlJiIiI\nwIkTJ+Dj44ObN2/q7Nu3b1/s2LEDt2//j737jm+q+v8H/krSvRd0QCm0QMtG9iqjbKooQ2TIEmQL\nsr7KBkFBERFBAREEkSmy9ygUkLKRUaBQSidt6aS7aZr7+6O/3k9jky7SpuP1fDx4mNx7zrnv01xv\nkpP3Pec5OnXqhG7dusHY2BhAznJCxZk95Y8//kCnTp0QHh6OwYMHo2vXrmjfvj0UCgXOnz+Pe/fu\nAQCaNWsmztBS2VWUv0lxzoPy3Kdhw4bh9u3baN26Nfr374+GDRsiLi4OR44cQUREBABg5syZ+d47\nysP/i5rUrVsXvr6+8PLyQnBwMHr27InTp0+jffv2Jf9DEREREVVwTOAhIiIiIiIqh7Kys7Du7jok\nZCYAAFKzUvHH4z/w2TuflbjN7MREvJo3H3rVqsHxq2XaCpVKKHz6DCRfuCAuiWU5aCBM27TJV86s\nSxdI9PVh3KwZzLy8YO7VDQa1a5dxtETa1aBBA7Rq1Qq3b9/G5s2bMXPmTFhYWKiUefnypTgDwoAB\nA2BmZqaT45SXNqhyatCgAS5duoSRI0fiwYMHOHnypDhLhrm5OXbv3o0+ffroOMriq1GjBk6dOoVh\nw4YhLCwMp0+fxunTpwHkLD00bdo0/PDDDxg5cmSB7ZiYmODChQtYunQp1q9fj/Dw8HzLjZmZmaFv\n37756g4bNgynT5/Gn3/+CT8/P/j5+Yn7xo0bV6wEHhcXF/j5+WHq1Kk4evQoLl26pDJjklQqxejR\no/Hjjz/C3Ny8yO1WZBXlb1Kc86A890kmk+HkyZP48MMP8ffff6vMEGRgYIAFCxZg0aJF+eqVh/8X\nC1KnTh0xiefFixfo1asXTp48CU9Pz2K1Q0RERFRZMIGHiIiIiIioHDLRN8GYxmOw9s5acdtfAX9h\nYtOJMJAVf/ac9H//RfisWVC8ylmGw6R1a1i+967W4qXikxobick7AJDic1FtAo+etTXq+V2DjD/m\nUyWzatUq9OjRA5GRkRg2bBh2794NS8ucWcYiIiIwaNAgZGRkwNDQEMuWqU86XLRoEZ48eQIA2L9/\nP6RqZqPSxnHKSxtUOTVt2hT37t3DlStXcOfOHWRmZqJ27dp49913YW5ujoyMDCxYsACA+qXVxo4d\nix49eqB58+Zq23/nnXfE+gYaZuCrV6+eWMamgCUYP/vsMyQkJKBDhw6F9qtjx4548eIFzp07h4cP\nH0KhUKBmzZro2bMnnJycAAADBw5E3bp14eLiorEdQ0NDrFy5EgsWLICvry8CAgKQmpqK6tWrw8XF\nBZ07d4aJiUm+elKpFDt37sSCBQtw9epVREZGQi6XQxAEtGrVSqVsYX9DAKhZsyaOHDmC4OBgXLp0\nCREREZDJZKhVqxa8vLzg4OBQ4N+jqH+7uXPnIj09vcQJDEU5jru7u/h6W1lZaSw3evRodO3aFY0b\nN1a7vzz8TQp77YpzHpRln4oqb3vW1tY4f/48bt26hRs3biAxMRHOzs7o27cvqlevrrENXf+/WNjf\npFatWvD19cWmTZsgCAKuXr2Ktm3barxeEREREVVmEkEQBF0HQZVTQkKC+IU/Pj4e1tbWOo6IiIiI\niKhiSctKQ5+/+yAlKwUD6w3EuMbj4GjmWOx2hOxsBL3/PuSBL8RtEhMT1DnwFwxdXbUZMv1/ysxM\npF2/jhRfX1T/4gtIDQ3zlUk6fQYRn38uPtevVQtuZ05DIpGUYaRUEVWm79tff/01Fi5cCACwsLBA\nu3btIJfL4efnh8zMTEilUvz5558YNmyY2vqdOnXCP//8AwDIysqCnppl6LRxnPLURkmU9JwJCgpC\nZmYmDA0N4cr3CyIiKof4XkVERES6pO0xGibwUKmpTAOKRERERES6cu3VNbhausLBtOC7fQuT8eQJ\ngj8aCkEuF7cZ1quH2vv3QWps/LZhEgBFQgJSfH2R4nMRKVevQkhLAwA4/7oZZp075yufnZKK5+3b\nw6C2C8y8usO8uxeMmjRhAg8VqrJ93/7rr78wf/58BAYGqmx/5513sHbtWnTp0kVj3aIm8Lztccpb\nG8XFBB4iIqqs+F5FREREusQEHqowKtuAIhERERFRRZewdx+ili5V2WY5eBCcVqzQTUCVgDw0FMkX\nfJDi44O0u3dVlsTKZfXRR3BctlRtfUVMDPSqVSvlKKmyqazft588eYKQkBDIZDK4ubkV6Ue4S5cu\nITY2FgAwaNCgIiXAleQ45bWNomICDxERVVZ8ryIiIiJdYgIPVRiVdUCRiIiIiKiiEgQBr+bMRdKJ\nEyrbnb5dBcv339dRVBWLoFQi4+FDJF/wQbLPBZVlyTTRq14ddS9dhEQqLYMIqSrg920qLibwEBFR\nZcX3KiIiItIlbY/RaJ5XmIiIiIiIiCoViUQCh2XLkOHvD3lwsLg9cukyGDVuDEM3N90FV44pMzKQ\nev06Ui74IPnSRWTHxBapnl716jDz6gZzLy+A984QERERERERERFRAZjAQ0REREREVAHFZ8TDQGoA\nMwOzYtWTmZmixrofETzkIwiZmQAAIT0dEZ9/jtr79kFqYlIa4VY4ioQEpFzyRYrPBaRc/QdCenqR\n6hnWrw+z7l4w9/KCUaNGnHWHiIiIiIiIiIiIioQJPERERERERBVIXHocdvjvwN6AvRjbeCwmN5tc\n7DaM3N1hv3ABohYtFrdlPg9E1PIVcFr5jTbDrVDkISHi0ljpd+8BSmXhlWQymLRqBfPuXjDr1g0G\nzs6lHygRERERERERERFVOkzgISIiIiIiqiCuR17HdJ/pSFfkzAaz8/FOfNzgY5gbmBe7LavBg5F2\n8xaSjh0Tt705dAgmrVvDauAArcVc3mUGBeHNocNI9vGB/MWLItWRmpjAtHPnnKQdT0/IrKxKN0gi\nIiIiIiIiIiKq9JjAQ0REREREVEE0tm0Mfak+0pGTwJMsT8auJ7swqdmkYrclkUjguHQJMvz9IQ8K\nErdHffUVjJs0hmG9elqLuzzLePwEcVu2FFpOz94eZl7dYO7VHSZt20BqYFAG0REREREREREREVFV\nIdV1AERERERERFQ0ZgZmGNVwlPjcztgOdsZ2JW5PamqKGj+uhcTISNwmZGQg/POZUKalvVWs5Yki\nPh5Z0dFq95l19gT01N/bYujuDrspk1H7wAHUvXQRjkuWwMyzE5N3iIiIiIiIiIiISOs4Aw8RERER\nEVEFMrzBcJwOPo1B9QZhcP3BMNIzKrxSAYzq14fDooWIXLBQ3CZ/8QJRy76C46qVkEgkbxuyTmRF\nRSHpxAkk+1xE+r17sB42DA6LFuYrJ7OwgGmb1ki95gfIZDBp3RrmXl4w8/KCQc0aOoiciIiIiIiI\niIiIqiIm8BAREREREVUg5gbmONj/oFYTaywHDkTazVt4c+SIuO3NkSMwadMaVoMGae04ZSnj8WO8\nXv29+DzZxwf2Cxeo/bvZjP0ElgMGwqyzJ2SWlmUZJhEREREREREREREALqFFRERERERU4Wh7VhyJ\nRAKHJYth4Oamsj3qq+XICHim1WNpkzI9HYrYWLX7TNu3V1kaTBEZicwnT9SWNfPsBMv33mXyDhER\nEREREREREekME3iIiIiIiIgIUhMT1PxxLSTGxuI2ITMTETNnQpmaqsPIVCni4pD4998ImzIVz9p3\nwOsf1qotJzU2hmmHDuJzwwYNkJ2UXFZhEhERERERERERERULl9AiIiIiIiIiAIBhvXpwWLwYkfPm\nidvkQUGIXLoMTt99q/WZf4oqMygIKT4+SL7gg/R//wUEQdyXcukShOxsSGSyfPWshw2Dafv2MPfq\nBv0aNcowYiIiIiIiIiIiIqLiYQIPERERERFRJfAk7gn+ePwHFrZbCFN90xK3YzXgA6TduoU3Bw+K\n25KOHYNJm9aw/vBDbYRaKCE7G+n//otkHx+kXPCBPDhYY9ns+Hik//svTFq2zLfPzLMT4NmpFCMl\nIiIiIiIiIiIi0g4m8BAREREREVVgT+Ke4Jf7v+BS2CUAQF2ruhjXZNxbtemwaCEyHj5A5vNAcVv0\niq9h3LQpjNzd36ptTZTp6Uj95x8k+1xEyqVLyI6PL1I9PUdHZCcklEpMRERERERERERERGWFCTxE\nREREREQVmE+Yj5i8AwDb/bdjmMcwmOiblLhNqbExavz4I15+OARCWhoAQMjMRMSMz1H7wAHIzEo+\nw09eithYJF+8iBSfi0i9dg1CZmaR6hk2bABzr+4w9+oGwwYNdLa0FxEREREREREREZG2MIGHiIiI\niIioAvu4wcf48/GfSMlKAQAkZibiTPAZDKg34K3aNXRzg+PSJXj1f1+I2xTx8ZAHvYBx06YlalMQ\nBMiDgpB8wQcpPj5Iv38fEITCK+rrw7R1a5h194J5t27Qd3Iq0fGJiIiIiIiIiIiIyism8BARERER\nEVVgloaWGNFgBDY/2Iwmdk0wqdkkeNbw1E7b/fsj7dYtJP51AEZNm6LGDz/AoGaNYrUhZGcj/d49\nMWlHHhJSpHpSc3OYde4M8+5eMPX0hMzcvCRdICIiqhBevnyJ7du34/79+0hKSoJSqVRbbteuXahR\no3jvxaQbU6ZMwePHj9GzZ08sWLBA1+GUmqCgIOzYsUPl3O3UqRNWrFih69CIiIiIiCocJvAQERER\nERFVcCMbjkSzas3QqUYnrS8nZb9gAfRr1YLt6NGQGBgUq66gUCCwew8ooqOLVF7PyTFnaazuXjBp\n1QoSff2ShExERFShnD59GgMHDkR6enqhZYtShsqHu3fv4saNG6hZs6auQyk1J06cwODBg5GRkaGy\n3crKSjcBERERERFVcEzgISIiIiIiquAsDS3hWVM7s+78l9TICHafflqiuhI9PRi61y8wgceoYcOc\npbG6d4ehu7vWE5CIiIjKM4VCgfHjxyM9PR3u7u748ssvUatWLUilUrGMn58f5s+fr8MoqTSMHTsW\nL1++hLe3N+bOnavrcIotKysLn376KTIyMvKdu3Z2droOr8QOHTqEdevWAQAuXLgAmUym44iIiIiI\nqCphAg8REREREREVmyAIkAcGItnnItLv3kXNjb9AkufHxlzmXt2RevnK/zbo68O0TZucpB0vL+g7\nOJRh1EREROXL7du3ERERAQDYvHkzunTpkq9MSkpKWYdFWvDLL78gKSkJ9vb2avffunUL/v7+qFu3\nbhlHph23b99GZGQkAM3nbkUUEREBX19fADmfd4mIiIiIyhITeIiIiIiIiKjYshMSkHjoMOK3bQMA\nZDx6BOOmTfOVM+vWDdK1a2Hm6Qnz7l4w9fSEzMysrMMlIiIql4KCgsTHjRo10mEkpG0tWrTQdQil\n6uXLl+JjnrtERERERNrBBB4iIiIiIqJKSikoEZYcBhcLF623nRUaiqTTp8TnyRd81Cbw6NtXR/1r\n/0DC5QeIiIjySU9PFx8bGRnpMBKi4uG5S0RERESkfUzgISIiIiIiqmSyldk4F3IOmx9sRnxGPE4P\nOg1jPWOttR+/ezeiv1kJKBTithQfH1Sf+bna8kzeISIiUjVv3jz4+fmJSxABQN++fSHL85556tQp\nGBsX/P4tl8vRq1cvAMDcuXPh7e2ttlx8fDwGDhwIAFi2bJnKckdTpkzB48ePYWRkhD///BN2dnZq\n21ixYgXOnz8PiUSCX375BQ0aNChaZ/+/oUOHIioqCoMHD8a0adOQnJyMP/74A//88w/evHmD+vXr\nY+LEifDw8FCp9+DBA+zYsQPPnz+HTCZD+/btMWnSJFhYWBR4vIyMDPz999+4ePEiXr16BZlMBmdn\nZ/Ts2RP9+/dX+VsXFmtGRgb+/PNPXLp0CbGxsXB0dIS3tzcGDRoEiUSito3cv2vPnj2xYMECcfvq\n1atx4sQJcQabEydOoGvXrip1vb29MXfu3FLtU1paGvbs2YPLly/j1atX8PDwwPr16wv6kwIo/rlb\nkuPevHkThw8fRkBAAFJSUmBra4s2bdpgyJAhcHJy0hjb7t278euvv8LAwABnz54V29q5cyeCgoJg\naGiI1q1bY9y4cahevbpK3YCAAEycOFFc0g4Aunfvnu/1vXDhQoF/ZyIiIiKit8EEHiIiIiIiokpE\nEASMOjUKD2IfiNv2B+zH6EajtXYMQ1dX6NnZITspCSYtW8K8uxfMunXTWvtERESV3cOHD+Hr66uy\n7erVqyrPs7OzC21HqVSK7Xz88ccay8nlcrFcTEyMyr5Jkyahbdu2yMjIwOjRo3H8+PF8SQsnTpzA\n4sWLIQgCpk+fXuzkHQC4fv06QkJC0Lx5czx+/Bj9+vVDSEiIuP/kyZPYsGEDtm/fjhEjRgAAFixY\ngG+++UalncOHD+Pnn3+Gr68vateurfZYPj4+GD16NMLDw/Pt27hxIxo0aID9+/ejcePGhcYaFBQE\nb29vPH36VKXM9u3b0atXLxw+fFhtotXdu3dx48YN1KxZU2V7QECAymsfFRWFqKgolTJ169Yt1T75\n+/vj3XffRXBwsLg/74w6BSnuuVuc4yYlJWH06NE4fPhwvuPu2bMH8+fPx/LlyzF79my1sYWGhsLX\n1xeGhoZQKpWYM2cO1q5dq1Lm0KFD+O6773D8+HF07NhR3J6cnJyvX5cvX853DEEQ1B6biIiIiEgb\nmMBDRERERERUiUgkErRyaKWSwPP7o98xxH2I1mbhMW3XDvUuXdRKW0RERFXRypUrMWfOHJw4cQLf\nf/89gJwElryJIIXNvqMtTZs2xZo1azB16lScPHkSa9euxaxZs8T9kZGRGDNmDARBQPPmzfHdd9+9\n1fGSk5Ph7e0NU1NT/Pzzz6hbty7Cw8Px3XffISAgAGPHjkWbNm1w8OBBrFq1CqNHj8Z7770HU1NT\nnDt3DuvWrUNoaChGjRqlNsHiypUr6Nu3L+RyOczNzTF9+nS0b98eCoUC586dw6+//oonT57A09MT\nt2/fhpubm8ZYU1NT0bdvX2RlZWHNmjVo2LAhkpKSsG3bNpw5cwZnz57FokWLxNewKObOnYuPP/4Y\nY8eORXBwMPr165dvth1HR8dS61NSUpI4Y87333+PRo0awcjICJaWlkWKv6TnbmHHlcvl6NmzJ27e\nvAkAePfddzF06FDY2dnh6dOn2LBhAwIDAzFnzhxkZGSozGqkztdff40NGzZg4sSJ6NWrF0xMTPDP\nP/9gzZo1SExMxIcffoinT5+KMzm5u7vj4sWLOHToEH766ScAwPnz5/PNtsPZd4iIiIioNDGBh4iI\niIiIqJIZ3Wg09jzdg3RFOqQSKdo5tUNaVppWl9EiIiKikmvSpAkAIDAwUNzm6ekJMzMzncQzZcoU\nXLhwAQcPHsS8efPQuXNntGrVCkqlEh9//DFiY2NhamqKvXv3wtDQ8K2OtXPnTnTs2BGnTp2CkZGR\nuP29996Dh4cH4uPjMWPGDFy6dAm7du3C0KFDxTJ9+vRB9erV8eWXX+LKlSu4e/cuWrRoIe5XKBQY\nNWoU5HI57OzscPXqVbi7u4v733//fQwcOBB9+vRBYmIixo0bh0uXLmmMdceOHWjdujXOnDmj8tp8\n+OGH8Pb2xqlTp7Bp0yYsXbq0yK+du7s73N3dYWpqCiAnWee/S2jlpe0+/fnnn2jWrBl8fHxgbm5e\npJjzKum5W9hxV69eLSbvfP3115g/f764r3fv3hg/fjy6d++OGzduYMmSJXj//fc1zjYkl8uxatUq\nnDt3TmW5uD59+qBly5YYMGAAIiMjsWvXLkyePBkAYG5ujq5du+LRo0di+S5dukBPjz+hEBEREVHZ\nkeo6ACIiIiIiItIuGyMbfNzgY7zn+h6OvH8EqzxXwdbYVtdhERFRJddkRxOVf5r89ewvlXJLry3V\nWHbIsSEqZf3j/NWW84/zVyk35NgQjW0uvbZUpexfz/4qch8rs99++w0uLi6Qy+UYOnQokpOTsXLl\nSvj4+AAA1q9fr5I4UlLZ2dnYtm2bSvIOAFSrVk1M1jl16hT69u2rkryTa/LkyWJSxYULF1T2HT58\nWFyeaeXKlWrj9fLywrRp0wAAvr6+uHv3boGx7tixI19yikQiwZdffgkgZ5ae69evF9Tlt6LtPmVl\nZWHLli0lSt55GwUdNzs7G+vXrwcAtGrVCvPmzctXxtTUFNu3b4dEIkF2drY4S446giBg6tSpKsk7\nuT744ANxCbj/nj9ERERERLrGBB4iIiIiIqJK6LN3PsM3nt+gtmVtXYdCREREFYC1tTV2794NPT09\nvHjxAu+++y6WLl0KABg2bBjGjh2rleO0b98ederUUbvvnXfeER8PGzZMbRkLCwtxiajnz5+r7Dt3\n7hwAwNDQEMOHD9cYw6effpqvjjrt2rVD3bp11e5r3bo1JBIJAODZs2ca23hb2u5To0aN0Lx5c63F\nV1QFHffBgweIjo4GAIwdO1b8u/6Xh4cHPD09ARTcRwAYOXKkxn1t27YFULqvGxERERFRSTCBh4iI\niIiIqBLS9MMHERERkSYdOnQQk3YuX74MhUIBV1dXbNq0SWvHyJ39RB1ra+tilUtKSlLZ/vjxY7Gu\niYmJxvoeHh7irDq5ddRp2LChxn3GxsbiMlj/jUObtN2nZs2aaTfAIirouHnjbdmyZYHttGrVCgAQ\nHByM9PR0jeUKOn/s7OwAlO7rRkRERERUEkzgISIiIiIiIiIiIiIAwIwZM1SWjFq5ciUsLCy01n5u\n0os6MpmsWOUUCoXK9sTERACArW3BS4dKJBLY2NgAABISEkoUa0FxaJO2+5RbpqwVdNzcPgKF9zM3\n+QbQ3E9DQ0NxmTV1yuJ1IyIiIiIqCc2fYomIiIiIiIiIiIiK6OHoh0Uq92H9D/Fh/Q+LVHb/e/uL\nVK6RbaMiH39ph6VY2mFpkcqWd0Wdca84iQozZsxASkqK+Pzrr7/G+++/D0NDw2LHV9aMjIwAAHK5\nvNCyuWVy65RX2u5T3iSpslTQcfPGW1g/8+4v768dEREREVFxcQYeIiIiIiKiKiJFnoLN9zfj0PND\nug6FiIiItMDAwABSac4Qb0HLCUVGRhapvb1792Lbtm0AAG9vbwDAgwcPMGfOnLeMtGw4ODgAAIKC\nggosl5KSgtevXwMAHB0dSz2ut1EZ+/RfuX0ECu9nYGAggJzkHSsrq9IMi4iIiIiozDGBh4iIiIiI\nqJJLzUrFpvub0Pvv3tjw7wZsuLcBmdmZug6LiIiI3pJEIkG1atUAAC9evNBY7tKlS4W29fLlS0yc\nOBEA0KlTJxw5cgSff/45AGDDhg04evToW8db2tq3bw8AiIiIwKNHjzSWO3v2LJRKJQCgXbt2ZRLb\nf+XOSCMIQoHlKlKfSqpt27bibFKnT5/WWC47OxsXLlwAALRp00ZMXtOmvDMFFfbaEBERERFpGxN4\niIiIiIiIKrl0RTq2PtyKJHkSAOB1+mscfH5Qx1ERERGRNrRs2RIAcOzYMWRnZ+fb/+bNG6xbt67A\nNrKysjBs2DAkJSXB2toau3fvhkwmw7fffosWLVoAAD755BNERERovwNaNHToUDGpY8mSJWrLZGVl\n4auvvgIAWFpa4r333iuz+PKysLAAAMTHxxdYriL1qaTs7OzQq1cvAMD27dsRHBysttzPP/8sziY1\ncuTIUokl93UBCn9tiIiIiIi0jQk8RERERERElZydsR0+dP9QZdv+gP28q5iIiKgSGDZsGICcpYdm\nzJgBuVwu7gsICECvXr0KXVJp4cKFuHHjBgBg69atcHZ2BpCzRNfevXthZmaGuLg4jBgxQpzlpTxy\ndXUVZxE6ePAgpkyZguTkZHF/dHQ0Bg4ciPv37wMAFi9eDDMzM53E2qhRIwDAlStXxKWv1KlIfXob\nX3/9NfT19ZGamorevXvj7t274r7s7Gxs2bJFXMqtSZMmpZbAk/u6AMCBAwdK5RhERERERJowgYeI\niIiIiKgK+KTxJzCUGcLcwBxTmk/Bjr47xKUKiIiIqOIaPnw4PD09AeTMUOLo6IgOHTqgQYMG8PDw\nQExMDH777TeN9c+ePYvVq1cDACZPnowBAwao7K9Xrx42bNgAAPD19cXXX39dSj3RjjVr1qBPnz4A\ngI0bN8Le3h5t2rRBixYtULNmTRw/fhwAMH78eMycOVNncY4cORISiQRxcXGoXbs22rZti65du6Jr\n167i65GrovTpbbRs2RJbt26Fnp4enj17hpYtW8Ld3R0dOnSAo6MjJkyYgKysLNSuXRt///03DA0N\nSyWO5s2bo2nTpgCAadOmwd3dHV26dBFfG3WzXBERERERaQsTeIiIiIiIiKoAO2M7/NTtJ5wZdAaT\nm02GhYFF4ZWIiIio3JNKpThx4gTGjx8PQ0NDxMfHw8/PD8+fP8eQIUNw48YN2Nvbq60bHR2NUaNG\nQRAENG7cGD/88IPacqNHj8aIESMAAMuWLcM///xTav15W8bGxjh27Bh++uknuLm5IT09Hbdu3cK9\ne/egUCjQtGlT7Nq1C1u2bNFpMnPHjh2xbds21KxZE+np6bh58yZ8fX3h6+uLgIAAlbIVpU9va+TI\nkfDz80Pfvn2hr6+PZ8+ewc/PDzExMbCxscH06dNx69Yt1KtXr1TjOHToEHr06AGJRIJnz57h8uXL\n4mvDGSyJiIiIqDRJBH7ipFKSkJAAGxsbADnrBVtbW+s4IiIiIiIiIqKKj9+3qbhKes4EBQUhMzMT\nhoaGcHV1Lc0Qq6zIyEgxWcPT0xMymSxfmbi4ODx8+BAA0LZtWxgbG2tsLzU1FQEBAVAqlXBzcxNf\na7lcjmvXrgHIWSKoWrVqAICwsDC8ePECAODu7l7gUlupqam4desWAKBatWoqSw0VxfXr15GRkYGa\nNWuibt26asvExsbi0aNHAIB27drByMhIbbl79+7hzZs3RYojPDwcERERkMlkcHZ21pjMVNxYAeDq\n1atQKBSoU6cOXFxcVPbdvXsXSUlJsLe3R4MGDQo8XnBwMCIjIyGXyyEIAhwdHeHu7q6TPhVVUc7d\ntzluSkoKgoKCkJKSAltbW9SrVw9SacH3I4eGhiIoKAhSqRSdO3fWWC4oKAihoaEwNDRE+/btNZZL\nSkpCYGAgUlJSxKXjunTpUqGTpCojvlcRERGRLml7jIYJPFRqOKBIREREREREpH38vk3FxQQeIiKq\nrPheRURERLqk7TEaLqFFRERERERERERERERERERERKRDTOAhIiIiIiKq4kKSQpCVnaXrMIiIiIiI\niIiIiIiqLCbwEBERERERVVEv37zEvCvz0P9wfxx+cVjX4RARERERERERERFVWUzgISIiIiIiqoKO\nvjiKD458gONBx6EUlPjtwW+chYeIiIiIiIiIiIhIR5jAQ0REREREVAW1dWgLmUQmPn+V+gpHXhzR\nYUREREREREREREREVRcTeIiIiIiIiKoge1N7DKo3SHzuZumG6ibVdRgRERERERERERERUdWlp+sA\niIiIiIiISDfGNRmH+zH38UmTT9DLpRekEt7jQURERERERERERKQLTOAhIiIiIiKqohxMHbD/vf26\nDoOIiIiIiIiIiIioyuPtlUREREREREREREREREREREREOsQEHiIiIiIiIiIiIiIiIiIiIiIiHWIC\nDxERERERERERERERERERERGRDjGBh4iIiIiIiESCIOBqxFXM8Z0DhVKh63CIiIiIiIiIiIiIqgQ9\nXQdARERERERE5cM/Ef/g539/xsPYhwAAzxqeeL/u+zqOioiIiIiIiIiIiKjy4ww8REREREREBAA4\nF3JOTN4BgM0PNnMWHiIiIiIiIiIiIqIywAQeIiIiIiIiAgB82vRT6En+N1FrWHIYbkXd0mFERERE\nRERERERERFUDE3iIiIiIiIgIAFDDrIa4ZFZX567Y++5etHdqr+OoiIiIiIiIiIiIiCo/vcKLEBER\nERERUVUxqdkkDHEfgoa2DXUdChEREREREREREVGVwQQeIiIiIiIiEjmYOsDB1EHXYRAREVVZSqUS\nSqVS7T49PQ7nVhTZ2dkQBAFSqRRSaeWbCL8y9K8y9IGIiIiIKhd+KiUiIiIiIiIiIiLSoV27dqFj\nx44wMzODTCaDvr6+2n+BgYG6DpWKqGPHjtDX18eoUaN0HUqpcHNzg76+PmbNmqXrUEqsMvSBiIiI\niCoX3rJBREREREREREREpCNff/01Fi5cKD6XSqWQSCTic0EQNM7IQxUXZ38hIiIiIqL/4jcDIiIi\nIiIiKlSGIgMv37zUdRhERESVSlJSEr755hsAwAcffICwsDBkZ2dDoVCI/44cOaLjKKkk9PT0IJPJ\nIJPJ1O5v1qwZ9PX1MWHChDKOjIiIiIiIyivOwENEREREREQaZSgycODZAWx7tA2m+qY4/P5hyKTq\nf4giIiKi4rlx4wbS0tIAAMuXL0fNmjV1HBFpy9WrV3UdAhERERERVTBM4CEiIiIiIiK10hXp6H+4\nP6JSowAAMekxOB18Gt6u3jqOjIiIqHKIjIwUHzN5h4iIiIiIqGqrsktovXnzBj/88AO6d+8Od3d3\nNG3aFIMGDcJff/0FQRDK1XHKSxtERERERFS1GOsZo41DG5Vtmx9sRrYyW0cRERERVQ5KpRIKhQIZ\nGRniNolEorJ0VlHlli9sjE9Tudzt2dkFv78LglDkY6mTuzSYUqksdt2ypo1YNbWR+9rnyvt3zf1X\nGn+jgvqkVCoLff2rsqL+P0JERERE9LaqZALPrVu30LhxY8yePRs+Pj549uwZHj58iIMHD2LIkCHo\n0aMH3rx5Uy6OU17aICIiIiKiqmli04mQSXKWzDLWM0aXml0gV8p1HBUREVHF1r9/f+jr62PixIni\nNisrK+jr64v/UlJSCm0nIyNDLL9161aN5aKiosRyf//9t8q+Dz/8EPr6+jAxMcHdu3fV1lcqleje\nvTv09fVhZWWFZ8+eFbGn/+Pm5gZ9fX3MmjULQM7yYQMGDED16tVhZGSEJk2aYNOmTSoJJhkZGVi7\ndi2aNWsGExMTmJmZoVevXvDz8yv0eHfv3sXYsWNRu3ZtGBgYwNjYGPXr18fUqVPx4sWLYsX68OFD\nDB06FA4ODtDT04OzszMmTZqkMoPSf3Xs2BH6+voYNWqUyvYJEyZAX18f/v7+AIBt27apvO76+vqY\nMGFCqffp9u3bGDZsGGrUqAF9fX106dKlwPqFuXr1Kt577z1Uq1YN+vr6cHV1xcyZMxEbG6uxTmJi\nIvbt24dRo0ahadOmsLOzg0wmg42NDbp06YKffvoJ6enpRTp+XFwcVqxYgQ4dOsDGxgYymQwODg5o\n27Ytli1bVujfR52UlBT07dtX/P9j3759xW6DiIiIiKg4qlwCT2hoKLy9vREeHg4bGxts2rQJT548\nwe3btzFjxgxIJBL4+Phg8ODBbzUzjTaOU17aICIiIiKiqquWRS0Mrj8YYxuNxamBpzC71WwY6xnr\nOiwiIqIKTSaTQSaTQSqV5tuW+08ikZRJLNu2bUOtWrUgl8vx0UcfITk5OV+Zb775BhcvXgQAbNiw\nAe7u7m91zL1798LT0xOHDx9GTEwMMjMz8ejRI0yePBnTpk0DACQlJaF3796YNWsWHjx4gPT0dKSm\npuLcuXPo0qULzp07p7H9ZcuWoVWrVti+fTtCQkKQlZWFjIwMPH/+HL/88gsaNGiA7du3FynW48eP\no23btti3bx+io6ORnZ2N8PBwbN68Ga1bt0ZISEix+p77+uaSSCT5Xvu8+0ujT7t27UKHDh2wd+9e\nREZGQiKRQE9Pr1j9yGvHjh3o2rUrjh8/jtjYWCgUCrx8+RI//vgjGjVqhEePHqmt9/nnn2Po0KHY\nuXMnHj58iLi4OCiVSiQkJODy5cuYMWMG2rZtW2CiFAAcOXIErq6uWLRoEfz8/JCQkAClUono6Gjc\nvHkTS5cuhbd38ZaAff36Nbp164bTp0/D3NwcJ0+exPDhw4vVBhERERFRcVW5BJ4vv/wSMTExMDAw\nwIULFzBx4kR4eHigZcuW+PHHH7Fy5UoAwPnz57F3716dHqe8tEFERERERFXbwnYLMavVLNga2+o6\nFCIiokrhyJEjUCgU2Lx5s7gtMTFRZRklU1PTMonF2toau3fvhkwmQ2BgICZPnqyy/9q1a1i2bBkA\nYPjw4RgzZsxbHe/58+cYN24cxowZg4CAACgUCoSEhGDYsGEAgI0bN8LHxweTJ09GQEAAdu7cicTE\nRMjlcpw8eRL29vbIysrC+PHj1S41tmHDBixduhSCIKB169a4ePEiMjIykJKSgkOHDsHV1RVZWVn4\n5JNPcOrUqQJjffHiBYYPH44PPvgA9+/fR1ZWFuLi4vDtt99CKpUiIiIC06dPL1b/N2/eDIVCgUaN\nGgEAPvnkk3xLaOU9L7Tdp2fPnuHTTz/FwIED8e+//yIzMxMKhQKXLl0qVj9yBQQEYNKkSRg4cCAe\nPHiArKwsREdH44cffoCxsTFev36Nfv36ISkpKV9dW1tbjBkzBkeOHMHTp0+RlJSEtLQ0PHr0CLNn\nz4aBgQEePnyIkSNHajz+mTNnMHDgQCQlJcHe3h4bNmxAaGgoFAoFXr9+LSbw1KtXr8h9CgwMRPv2\n7XH79m04ODjg8uXL6NGjR4n+PkRERERExSJUIREREYJEIhEACBMnTlRbRqFQCLVq1RIACC1bttTZ\nccpLG28jPj5eACAAEOLj47XaNhEREREREVFVxe/bVFwlPWdevHghPH78WHjx4kUpRle1bdmyRXxt\nkpOT1ZY5duyYWOb58+cq+9LT08V9W7Zs0XicyMhIsdxff/2ltszy5cvFMr///rsgCIKQkJAgjh26\nubkJb968KVlHBUFwcXER2//888/z7VcoFIK7u7sAQHB1dRVMTEyEx48f5yt36NAhsZ2TJ0+q7EtI\nSBBMTU0FAELz5s2F1NTUfPUjIiKE6tWrCwCE2rVrCwqFosBYJ02apLY/s2bNEgAIUqlUiIiIyLe/\nbdu2AgBhxIgRaus3atRIACCMGzdO7f7S7NPo0aMLPGZR5G3vo48+Ulvm6NGjYpmFCxcW+xgHDx4U\n61+/fj3f/vT0dMHR0VEAIDg5OQmhoaEl6sOMGTPEbTdu3BCqVasmABDq168vvHz5sthxU9niexUR\nERHpkrbHaKrUDDxHjhwRl4kaMWKE2jIymQwfffQRAODOnTsIDQ3VyXHKSxtERERERERERERF8cSj\nQan/i1y0uMjH1yRy0eIiH68qmT9/Prp16wYAmDZtGgICAjB+/HiEhoZCX18fe/bsgYWFxVsfx8zM\nDMuXL8+3XSaTYfDgwQCAoKAgTJgwAQ0a5H8N3n33XXF2Ij8/P5V9u3fvRmpqKgBg9erVMDExyVff\nyckJCxcuBAAEBwfj7NmzGmM1NTXFt99+q3bfJ598AgBQKpW4ceOGxjbelrb7pKenh++++05r8clk\nMvzwww9q97333nvo2bMnAGDr1q3FbnvAgAFo2LAhAKidWWj//v3i8lpr166Fs7NzsY+R18mTJ+Hl\n5YWYmBi0a9cO165dQ+3atd+qTSIiIiKi4qhSCTzXr18HAOjr66NNmzYay3Xs2FF8fPPmTZ0cp7y0\nQURERERERERERJWfVCrFrl27UK1aNaSmpqJTp074+++/AQDffPMNWrdurZXjdO7cGWZmZmr3ubu7\ni4/79euntoyenh7c3NwAAGFhYSr7Ll++DACwsrJC9+7dNcYwZMiQfHU0xaopacnDwwMymQwASvWm\nSG33qW3btqhevbrW4mvdujWcnJw07h84cCAAIDIyEi9evChSm3mXE6tfvz4AwN/fP1+58+fPA8hJ\nCss9Tklt27YN77//PlJTU/Huu+/iwoULsLXl8rFEREREVLb0dB1AWXry5AkAoGbNmjA0NNRYLvcL\nYN46ZX2c8tIGERERERGROlGpUZh4biIkkGBph6VoXr252nK//PsLsoVs8fnkZpOhJ83/VfRJ3BNc\nCL0gPvew8UAPlx5q2/z72d+ISosSnw+sOxCOZo75ysWmx2J/wH7xuY2RDYZ6DFXb5pXwK3gU+0h8\n3rFGRzSt1lRt2V8f/KrSp0+bfKq2TwHxAbgYdlF8Xt+6Prxqealt83DgYUSnRovP36/7PhxMHfKV\ni0uPw9/P/xafWxtZ48P6H6pt85+If/A47rH4vINTBzSya6S27LZH26AUlOLzMY3GqO3Ts4RnuBz+\nvx8F61vXR+eandW2eezFMbxOey0+f9f1Xdib2ucrF58Rj8OBh//XJ0NrDKg3QG2bfq/88DT+qfi8\nrWNbNLRtqLbsDv8d4qy0ADCy4UjIpLJ85Z4nPEdkaqTGfhARVSWOjo7Yvn073n33XcTGxgIAevfu\njdmzZ2vtGC4uLhr35U3sKUq53JlpcoWEhADISa6RSCQa69vb28PGxgbx8fFineLGKpPJYGpqiqSk\npHxxaJO2+5SbEKMt6mZJysvDw0N8HBwcrDIWDQBPnz7Fb7/9hkuXLiEwMBDJyclQKpX/bQbx8fH5\ntgUGBgIAGjVqBD29kv/UcfDgQaxbtw4AMH78eGzatElMziIiIiIiKktVKoEnOjpnMNTBIf8gaF6O\njv8b+M2tU9bHKS9tFCYhIUHjvsTExGK1RURERERE5V9MWgw2P9iMg88PIkuZBQDwj/PXmMCz5eEW\nKJQK8fmkppPUlgtICMDmB5vF5/3d+mtM4DkUeAj3Y+6Lzzs6dVSbwBOfEY+N9zeKz+ta1dWcwBNx\nBXue7hGfWxhaaEzg2Xh/o0qfxjcer7bck/gn+Pnfn1X6pCmB58CzAyp9auvYVn0CT0Yc1t9br9In\nTQk8vuG+Kn0y0TfRmMCz/t56lT6NbjhabbnHcY+x7u46lT5pSnzZF7BPpU8t7VuqTeCJTY/F2jtr\nVfqkKYHnYthFlT592eZLjQk8P979UaVPIxqMgAz5f4zzj/OH3ys/JvAQEf1/DRo0gImJiZiUMmzY\nsAITR4rLwMBA4768xylKuf8meiQnJwOAxhl+8jI3N0d8fLxYR52CboosKA5t0nafzM3NtRYbAHE5\nM03yxp2SkqKyb8OGDZg5cyYUCoXKdolEAqk0Z/EApVIJQRCQmZmZr+3cfr5tn5KSksTHJiYmTN4h\nIiIiIp2pUgk8uV8Q1K0TnJexsXG+OmV9nPLSRmFsbGyKVZ6IiIiIiCq25Kxk7A/YDwFC4YWJiKhK\nafBUtzM7F/X4jsu/guPyr0o5mrKRm+QAQGXWsf/KyMgoUntZWVkYOnSoyowys2bNgpeXF5ydnUse\naBnJTeQoKIElV27ShqYlssoLbfdJm8lYQOHjyXn35020uXPnDmbMmAGlUokWLVpgzpw5aNOmDZyc\nnFTGqz/88EMcOHBAbdu5/cybgFMSY8aMgVKpxPr16/HTTz9BLpfjl19+0frfioiIiIioMNLCi1Qe\nuXdCFPbBO+8X35LcPaGN45SXNoiIiIiIiPJytXTF8AbDdR0GERERIWeWGn19fQAFJzG8fPmySO0t\nWLAAN2/eBACsXr0aZmZmiI+Px8cff4zs7OxCautenTp1AOQsy1TQOGdUVJQ4s3jt2rXLIrQSK+99\nevKk4MS5x4//t5xnbl8A4M8//4RSqYStrS0uXbqEYcOGwc3NTSV5BwAiIiI0tl2vXj0AgL+/P7Ky\nskoSvuinn34Sl4rbtGkTPv30U46VExEREVGZq1Iz8JiZmSExMbHQO07S09NV6ujiOOWljcKoW3s4\nV2JiIlxdXYvVHhERERERlX9zW81FK/tWeJH4AgDQrFozjWUnN5sMpfC/Hz+kEvX3kXjYeGBK8yni\nc3drd41tDqw3EB2dOorP1S01BQA2RjaY3GyyynNNOtXoBEtDS/F5E7smGstOaDIB2cL/fsTUdNNE\nfev6mNB0gvi8gU0DjW32d+uPNg5txOf2JvmXmgJy+vBpk0/F57bGthrb7ODUAab6/1vWopGt+uWz\nAGBso7Eqr5OmPtWzrodPGn8iPte0fBUAvOv6LlrYtxCfVzOppractaE1xjYaKz4vqE9tHdvCUPa/\n5UwK+puObDhS5Yc3TX2qa1UXetIqNTxCRJWMs7MzgoKC8OjRI41ljh49Wmg7Z8+exffffw8AmDJl\nCubMmYPq1atj9OjRuHz5MlasWIElS5ZoLe7S0KVLF+zZswdv3rzBuXPn0Lt3b7Xl9u3bp1JHF3IT\nrwpLjCrvfbp16xbCw8NRs2ZNtfsPHjwIAKhZs6ZKAk9oaCgAoFGjRhqXwIqMjMTt27c1Hrt3797Y\nsWMHUlNT8ffff2PoUPVLpRbV999/DwMDA6xcuRJbt25FVlYWtm3bxiW1iIiIiKjMVKkRKhsbG4SH\nhyM2NrbAcnn3W1tb6+Q45aWNwpTk70NERERERBWbTCpDD5ce6OHSo9CyeRNYCuJh4wEPG48ilR1Y\nb2CRytkZ26kkBRWkc83O6Fyzc5HKTm4+ufBCyEluKSjBJa8h7kOKVM7O2A7TW0wvUtmuzl3R1blr\nkcoWtc1Gto0KTATKa6hH0X5Eq2ZSDbNazSpS2e61uqN7re5FKjurZdHabGzXGI3tGhepLBFRedSx\nY0cEBQXh8OHDWLNmTb4l7+/fv49NmzYV2EZ0dDRGjRoFQRDQpEkTrFmzBgAwatQonDt3Dn/++SeW\nL18OLy8veHp6llpf3tawYcMwd+5cJCcnY+7cuejYsWO+GxbDw8OxYsUKAICbmxt69Cj880xpsLOz\nA1DwDDNA+e+TUqnEzJkzsX///nzJsocPH8aFCxcAAOPGjVPZlzuu7O/vj+Tk5HxJPAqFApMnTy5w\nZp3Bgwfjyy+/RGhoKGbNmoX27dvDxcXlrfrzzTffQF9fH1999RX++OMPZGVl4Y8//oCeXpX6KYWI\niIiIdKRKLaHl7p5zB2dISEiB018GBweLjz08ijaArO3jlJc2iIiIiIiIiIiIqPyaMCEnWTYxMRF9\n+/bF9evXkZaWhoiICPzyyy/o1q0bPvroI431BUHAqFGjEB0dDRMTE+zbtw9GRkbi/o0bN6Ju3brI\nzs7GiBEjxGWayiMLCwsx+ejhw4fo3Lkzzpw5g6SkJMTHx2P//v3o1KkTYmNjIZFIsHnzZkiluhki\nb926NQDA19cXhw8fRnJyMhQKBRQKhcpYbnnvk7e3N06cOIEBAwbg9u3bSEtLQ1hYGL799lsMGzYM\nQM6SXnPmzFGp179/fwBAXFwc+vXrB19fXyQmJiIhIQFnzpxB165dcePGDXTvrjlxV19fX0yuiYyM\nROvWrbF27VoEBgYiLS0N4eHhuHr1KubPn49evXoVuU/Lli0TE6L27NmDYcOGvfUSXURERERERVGl\nEnjeeecdADlLRhU0pWzuOs9565T1ccpLG0RERERERERERFR+derUSUyOuHnzJtq3bw9TU1PUrFkT\nU6dORbdu3bB8+XKN9VevXo2zZ88CANatW4cGDVSXJzQzM8PevXthYGCAsLCwfDOplDeffvopVq5c\nCalUinv37qFPnz6wtLSEra0tPvroI4SEhMDIyAh//vlngckhpW3ChAkwNzeHXC7HgAEDYGFhAX19\nfejr64tJWbnKc5/q1q2L3377DSdOnEDr1q1hamqKWrVq4csvv0RGRgacnJxw6tSpfLMG9e/fHyNG\njAAAXL16FV27doW1tTVsbGzQp08fPH36FAcOHBBnKtKkS5cuOHbsGKytrRETE4NZs2ahXr16MDU1\nhbOzMzw9PbFy5UqEhYUVq18LFizAd999BwA4cOAAPvzwQ8jl8mK1QURERERUXFUqgSc3qx/439q7\n6uTuq1OnDho3Lv402to4Tnlpg4iIiIiIiIiIiEqHVCqFTCaDTCbLt/xQccqsXr0ae/fuRZcuXWBt\nbQ1LS0u0adMGv/76Kw4cOAADAwOxjbyzs9y+fRtLly6FTCbDkCFDMH78eLXtt2zZEitXroRMJsPR\no0fx66+/Fruvenp6YgyaFKWvRWnryy+/xIMHDzBx4kS4u7vDzMwMlpaWaNKkCWbNmoWAgAAMHz78\nrWLNW07djDeFtVG7dm3cuHEDo0ePhpubG0xMTAqsU1Z9Kqq87Q0fPhxXrlzBwIEDUaNGDZiamsLD\nwwNffvklHj16pHHW9507d+L333+Hp6cnrKysYGZmBg8PD3z++ee4e/cuOnbsKB6joCWs+vTpg6Cg\nIHzzzTfo1KkTqlWrBhMTE9SuXRtdunTBt99+KyapFedvMnfuXKxduxZ6eno4fvw4hgwZwiQeIiIi\nIipVEkEQBF0HUZY8PT1x9epV2Nra4vHjx6hevbrK/qNHj+L9998HAKxatQpffPGFzo5TXtooqYSE\nBHHN7fj4eHFdYyIiIiIiIiIqOX7fpuIq6TkTFBSEzMxMGBoawtXVtTRDJCIiKhG+VxEREZEuaXuM\npkrNwAMA33//PfT19REXF4fevXvj/v37AAClUol9+/Zh5MiRAAA3NzdMnz5dbRtdu3ZFzZo10ahR\no1I9Tnlpg4iIiIiIiIiIiIiIiIiIiIhKT5WbgQfImZpz3LhxyMrKAgBYWVkhPT0dmZmZAAAnJydc\nvHgR9evXV1vfw8MDAQEBsLS0RGJiYqkdpzy1URK8I5CIiIiIiIhI+/h9m4qLM/AQEVFlxfcqIiIi\n0iXOwKMFI0eOxM2bNzF48GCYmpoiMTERmZmZcHJywsyZM/Ho0SOtJLNo4zjlpQ0iIiIiIiIiIiIi\nIiIiIiIiKh1Vcgae/4qPj4ehoSFMTU2LVD46OhpZWVmQSqVwcnIqteOU5zaKgncEEhEREREREWkf\nv29TcXEGHiIiqqz4XkVERES6pO0xGj1tBFXR5f5Bi8re3r5MjlOe2yAiIiIiIiIiIiIiIiIiIiIi\n7aiSS2gREREREREREREREREREREREZUXTOAhIiIiIiIiIiIiIiIiIiIiItIhJvAQERERERERERER\nEREREREREekQE3iIiIiIiIiIiIiIiIiIiIiIiHSICTxERERERERERERERERERERERDrEBB4iIiIi\nIiIiIiIiIiIiIiIiIh1iAg8RERERERERERFpJAiCrkMgIiJSi+9RREREVJkwgYeIiIiIiIiIiIjy\nkclkAICsrCwolUodR0NERKRKqVQiKysLwP/es4iIiIgqMibwEBERERERERERUT7GxsYAcmY3SEpK\n0nE0REREqpKSksQZeExMTHQcDREREdHbYwIPERERERERERER5WNlZSU+joyMRGxsLORyue4CIiIi\nAiCXyxEbG4vIyEhxW973LCIiIqKKSk/XARAREREREREREVH5Y2BgABsbG8THxwMAYmJiEBMTAz09\nPUilUkgkEh1HSEREVYkgCMjOzkZ2drbKdhsbG+jr6+soKiIiIiLtYQIPERERERERERERqWVvbw8D\nAwNERUWJ2xQKhQ4jIiIi+h8HBwdYW1vrOgwiIiIirWACDxEREREREREREWlkbW0Nc3NzpKamIiUl\nBVlZWVAqlboOi4iIqiCpVAp9fX2YmZnB1NQUenr8mYuIiIgqD36yISIiIiIiIiIiogLp6enB0tIS\nlpaWug6FiIiIiIiIqFJiAg8REREREREREelUamoqfHx8EBISAj09Pbi5uaFr167Q19cvd8cpaRu7\nd+9GaGhooe27urpiyJAhRY6HiIiIiIiIiCoHJvAQEREREREREZFOZGdn47vvvsPXX3+N1NRUlX22\ntrZYvXo1xo4dWy6O87Zt/Prrr/D19S001t69ezOBh4iIiIiIiKgKYgIPERERERERERHpxKRJk/Db\nb78BAOrXr4/u3bsjKysLx48fR1RUFD755BNER0fjyy+/1PlxtBWrm5sbBg8erHG/u7t7CXpIRERE\nRERERBWdRBAEQddBUOWUkJAAGxsbAEB8fDysra11HBERERERERFRxVdZvm/v27cPQ4cOBQB8+umn\n2LRpE6RSKQAgLS0NgwYNwunTpyGRSHDz5k20atVKZ8fRRhtdu3aFr68vvL29cfz48RL1paQqyzlD\nREREREREVJ5o+/u2VBtBERERERERERERFceiRYsAAPXq1cOGDRvEhBgAMDExwc6dO2FhYQFBELB4\n8WKdHqesYiUiIiIiIiKiqosJPEREREREREREVKZu376N58+fA8hZmsrAwCBfGTs7OwwfPhwAcPbs\nWcTFxenkOGUVKxERERERERFVbUzgISIiIiIiIiKiMnX27Fnxcc+ePTWWy92XnZ0NHx8fnRynrGIl\nIiIiIiIioqqNCTxERERERERERFSmHj16BADQ09NDw4YNNZZr1qxZvjplfRxtx5qWloaTJ09iw4YN\nWLduHfbs2YPAwMCCO0JERERERERElZ6ergOgykupVIqPExMTdRcIERERERERUSWS9zt23u/eFUlw\ncDAAwNHRETKZTGO5mjVrio9fvnypk+NoO9aLFy/i4sWL+ba3bt0aq1atgpeXl8a6BUlISNC4Lz4+\nXnzMMRoiIiIiIiIi7dD2GA0TeKjUJCUliY9dXV11GAkRERERERFR5ZSUlARbW1tdh1FsuWMGFhYW\nBZYzNDSEgYEB5HI5kpOTdXIcbcaqp6eHFi1aoE6dOnByckJSUhL8/Pzw+PFj3Lp1Cz179sT69esx\nZcqUonZRZGNjU6RyHKMhIiIiIiIi0j5tjNEwgYeIiIiIiIiIiMpUeno6gJykl8IYGhpCLpeLdcr6\nONqK9YsvvkC7du1gbW2db9+JEycwevRoxMXF4bPPPkPLli3Rtm3bQo9HRERERERERJUHE3io1Dg7\nOyMoKAhAzl1qUqlUxxEVLjExUbwTLSgoCFZWVroNiKiEeC5TZcLzmSoTns9UWfBcpsqkIp7PSqVS\nnBXG2dm5VI+1Y8cOREZGvlUbU6dOhbm5uco2IyMjAIBcLi+0fmZmpkqd4tDGcbQVa9++fTXW8/b2\nxqFDh9ClSxcolUosX74cx48fL/R4eeVdJuu/FAoFIiIiYGlpyTEaojLGc5kqE57PVJnwfKbKgucy\nVSYV8XzW9hgNE3io1Ojp6aFOnTq6DqPErKys1N4VR1TR8FymyoTnM1UmPJ+psuC5TJVJRTqfy2rZ\nrPXr1+POnTtv1cbHH3+cL4EndzmqwpbFysrKEhNn/ttGUWjjOGUVq6enJ7p06YJLly7hwoULyMrK\ngr6+fpHrF3buVqtWrdgxlRcV6f9NooLwXKbKhOczVSY8n6my4LlMlUlFOp+1OUbDBB4iIiIiIiIi\nIlJrzJgx6NGjx1u1kZsAk5eLiwuuX7+OV69eQalUapwRJiwsTHxcu3btYh9bG8cpq1gBoGXLlrh0\n6RIyMjIQHR2NmjVrlqgdIiIiIiIiIqp4mMBDRERERERERERqTZs2rVTabdSoEYCcWWsCAgLQoEED\nteUePXqUr05ZH6esYgWgkhwkCEKJ2iAiIiIiIiKiiqn8L3hNRERERERERESVSt5Zfc6fP6+xXO4+\nqVSKbt266eQ4ZRUrANy/fx8AYGBgAHt7+xK1QUREREREREQVExN4iIiIiIiIiIioTLVr1w4uLi4A\ngM2bNyM7OztfmTdv3mDXrl0AgK5du5YooUUbxymrWO/evSsmAXXu3BkGBgbFboOIiIiIiIiIKi4m\n8BARERERERERUZmSSCRYunQpAMDf3x9ffPGFyv6srCyMGzcO8fHxAIBly5apbWfXrl1YtWoVVq1a\npXbJKW0cRxttXL9+HS9evFDbBwDw8/ND//79oVQqAQALFizQWJaIiIiIiIiIKic9XQdARERERERE\nRERVz+jRo3H69Gns27cPa9aswaVLl9C7d2/I5XIcOXIEz58/BwDMnz8fnTp1UtvGxo0b8c8//wAA\n5syZAz29/ENd2jjO27bx559/4ueff0bDhg3RuHFjODg4wM7ODklJSbh+/TquXr0qll21ahW6du1a\n9D8kEREREREREVUKEkHd7UlERERERERERESlTC6XY+HChVi7di0UCoXKPhMTEyxfvhwzZ86ERCJR\nW79Tp05iAk9WVpbaBB5tHOdt29i9ezdWrFiBJ0+eaGy/adOmWLlyJfr166exDBERERERERFVXkzg\nISIiIiIiIiIinYqNjcWpU6cQEhICmUwGNzc39O3bF+bm5gXW27RpE4KDgwEA33zzDaTSgleLL+lx\ntNVGaGgobt++jVevXuH169cwMjKCk5MT2rRpg4YNGxY5BiIiIiIiIiKqfJjAQ0RERERERERERERE\nRERERESkQwXflkRERERERERERERERERERERERKWKCTxERERERERERERERERERERERDrEBB4iIiIi\nIiIiIiIiIiIiIiIiIh1iAg8RERERERERERERERERERERkQ4xgYeIiIiIiIiIiIiIiIiIiIiISIeY\nwENEREREREREREREREREREREpENM4CEiIiIiIiIiIiIiIiIiIiIi0iE9XQdAVF7cunULx44dQ2ho\nKPT09ODm5oZBgwahfv36ug6NqFBBQUH4v//7vyKVXbJkCZo0aVLKEREVLDMzE/fu3cPNmzdx584d\npKamAgDmzZuHli1bFrmd9PR0HDt2DNeuXUNMTAxsbW3RqlUrDBgwAObm5qUVPpGKyMhI3Lx5Ezdu\n3EBgYCCUSiUcHR2xfv36Qutu3boVp06dKrScra0tNm/erI1widTKzMzE9evXcefOHbx69QpRUVEw\nMDBArVq10LlzZ3Tr1g0SiaRIbSkUCpw5cwYXL15EVFQULC0t0bRpUwwePBi2tral3BMiICIiAr6+\nvggMDERkZCTevHkDKysrNG3aFN7e3nB2di6w/rFjx7Bjx44iHWv//v2QSnlvFJG23b9/H4cPH0Zw\ncDAkEglcXV0xYMAANGrUSNehERUqKioK06ZNK1LZOXPmoF27dqUcEVHBsrKycP/+fdy4cQN37txB\nUlISAGDGjBnw9PQscjuZmZk4efIkrly5gtevX8PKygrvvPMOBg0aBCsrq1KKnkjV69evcfPmTdy8\neRNPnz6FUqmEhYUFtm3bVmjdvXv34sCBA4WWMzY2xs6dO7URLpFaWVlZuHnzJm7duoVXr14hMjIS\nenp6qFGjBjw9PdGzZ88ifw/Nzs6Gj48Pzp07h8jISJiZmaFRo0YYPHgwHBwcSrknRDmfjS9fvoxn\nz54hMjISCQkJsLS0RKNGjeDt7Y06deoUWP/ChQvYuHFjkY71+++/V47fhQSiKi4uLk744IMPBAD5\n/kkkEuGzzz4T5HK5rsMkKtCtW7fUnsPq/p07d07X4VIVlpSUJLRq1UowMDBQe34eO3asyG1dunRJ\ncHZ2VttOtWrVitUWUUls375dqFmzptpz0M3NrUhtTJ06tUjX7ho1apRyb6gqGz16tGBkZFTgOdig\nQQPh+vXrhbb14MEDoVGjRmrbMDMzE7Zu3VoGPaKq6uHDh0LdunULPJdlMpkwadIkITU1VWM7q1ev\nLvJn66ysrDLsIVHll5SUJAwfPlzj/3OffPKJkJaWpuswiQr0/PnzIr+P/PXXX7oOl6qw7OxsoV27\ndoKhoaHa83Pnzp1FbuvGjRsaP4dZWVkJe/fuLcWeEAnCgQMHhNq1a6s9B21tbYvUxoIFC4p07TY1\nNS3l3lBV9tlnnwkmJiYFnoNubm6Cj49PoW09e/ZMaNmypdo2jIyMhHXr1pVBj6iqCgoKEjw8PAo8\nl6VSqTB69GghMTFRYztbtmwp8mfrmJiYMuxh6eEMPFSlZWZm4r333sO1a9cgkUgwdOhQ9OzZE5mZ\nmdi/fz8uXryI9evXIykpCdu3b9d1uERFsnTp0gLvSmzatGkZRkOkKjMzE7dv34ahoSHatGmDNm3a\nIDMzE1u2bClWOzdv3kTfvn2Rnp4OOzs7TJo0Ce7u7ggKCsLmzZvx6tUrDBgwACdPnkTPnj1LqTdU\n1T1//hzh4eFwdHRE69at0aZNG2zfvh2BgYHFbqtatWr45ZdfNO43MTF5m1CJCvTvv/8iIyMDMpkM\nXbt2hZeXF2rVqoX09HRcvHgR+/fvx5MnT9CtWzecPXsWnTp1UttOUFAQunfvjpiYGJiZmWHChAlo\n3rw5oqKisGXLFjx//hzjxo2DRCLB2LFjy7iXVBXExsaK12B7e3t4e3ujVatWsLKyQkhICP744w88\nefIEmzZtQkBAAM6cOQN9ff0C2/zrr78K3C+TybQWP1FVl52djcGDB+Ps2bMAgA8++ADvvvsusrOz\ncfjwYZw6dQrbtm1DQkIC/v777yLPDEekS//3f/+H1q1ba9zfvn37MoyGSJVSqcT169ehr6+Pli1b\nok2bNtDT0yvSbLJ5+fv7o1evXuKshxMnTkTjxo0RFhaGzZs3IyQkBMOHD4e+vj4GDhxYSr2hqu7l\ny5cIDg5GtWrVxDGagwcP4sGDB8Vuy8TEpMAZOfX0+NMqlZ4HDx4gLS0NEokEnp6e6NGjB2rXrg25\nXI4rV65g9+7dePHiBXr37o2jR4+iT58+atuJjIxE9+7dERYWBiMjI4wfPx6tW7dGXFwctm7dCn9/\nf8yYMQNKpRKff/552XaSqoQ3b97g6dOnAAA7Ozv069cPbdq0gY2NDcLDw7F79278+++/2LFjB548\neYJLly7B2Ni4wDZ37NhR4Di5hYWFVvugM7rOICLSpZUrV4pZeRs3bsy3P+9d8cePH9dBhERFk3cG\nnosXL+o6HCKNMjMzhZs3bwqZmZnitj179hRrBh6FQiE0bNhQACDY29sLwcHBKvujoqIEV1dXAYBQ\ns2ZNIT09Xev9IBKEnDtrQ0JCVLa1bdu2RDPwuLi4lEKEREXTqlUrYcqUKcLLly/V7j9//rx4V27d\nunUFhUKhtlzv3r0FAIKxsbFw9+5dlX3JyclCmzZtxLsVo6KitN0NIuHixYtCnTp1hD/++EPtLKpy\nuVwYNmyY+Lnjxx9/VNtO3hl4iKjsbNy4Ufx/b+XKlfn2z58/X9z/559/6iBCoqLJOwPPoUOHdB0O\nkUZKpVK4du2ayrjJqVOnij0DT7t27QQAgqWlpfD06VOVffHx8ULjxo3FWVAKusOe6G28fPlSCAoK\nUtmW+x21uDPwWFpalkKEREXj5eUljB07Vnj27Jna/X5+foKZmZkAQHByctI4O+VHH30kABD09PSE\ny5cvq+xLT08XvLy8BACCgYFBvv93iLTh3r17Qo0aNYQtW7ao/Y1GoVAIEyZMED93LF26VG07eWfg\nSUhIKOWoywcu1E5Vllwux3fffQcA6Ny5MyZNmpSvzJo1a+Do6AgAWLFiRZnGR0RUGRkYGKB169Yw\nMDAocRuHDh3C48ePAQArV66Ei4uLyn57e3usXbsWABAeHl7gHTNEb6Nu3bqoVauWrsMgemvHjx/H\nzz//jNq1a6vd3717d0ybNg0AEBgYiGvXruUrc/v2bZw5cwYAMHfuXLzzzjsq+83MzMTZ1lJTU/Hj\njz9qrwNE/1/z5s3x5MkTjBw5Uu3MOvr6+vj1119hZWUFAPjjjz/KOEIi0kQQBHzzzTcAcv5f/uKL\nL/KV+eqrr1CvXj0AHKMhItIGiUSC9u3bw8jIqMRtnD9/HtevXwcALFmyBO7u7ir7ra2t8fPPPwMA\n4uLisGnTppIHTFSA2rVro06dOroOg+it7d69G9u2bRM/9/5Xu3btxM/Kr169wvnz5/OVef78Ofbv\n3w8AmDJlCjw9PVX2GxkZ4bfffoNUKlX5rZRIm9zc3PDs2TOMHz9e7WcNmUyG9evXw8nJCQDHaPJi\nAg9VWRcuXEBCQgIAYPz48WrLGBoa4uOPPwYAXL9+HWFhYWUWHxERqZe7lIWpqSmGDRumtsy7774L\nBwcHlfJERKSevb19oWV69OghPs5Noswr77VW02frpk2biktI8NpMpcHKygqGhoYFljEzM0Pbtm0B\nqD+XiUg38o65fPLJJ2qXx5LJZBgzZgwA4OnTp3j06FFZhkhERGrkfq7Pe43+r86dO4s/RPN7ABFR\nwbQxRnPgwAEIggBA8xhNnTp10L17dwDAwYMHoVQqSxIukUbm5uYFLncF5NzwnZtgFhQUhMzMzLII\nrdxjAg9VWZcvXxYfd+3aVWO5vPvy1iEiIt3IvRa3bdtW411iUqlU/OB39epVZGdnl1l8RESVUVZW\nlvg4dxAor9xrs6urK5ydnTW2k/vZ+sWLF4iIiNBukERFlPd8JqLyoSRjNL6+vqUYERERFUXu9btZ\ns2awtrbWWC73+n337l2kpKSURWhERJVWUcdobG1t0bhxY43t5F6bX79+jSdPnmg3SKIiKux8ror0\ndB0Aka74+/sDyJnBoaAfGTw8PMTHvEOTKoLjx4/j4MGDiI2NhampKdzc3ODl5YU2bdroOjSit5aQ\nkICoqCgAQIMGDQosm3v9zszMRFBQkMZpR4nKg7S0NHz//fd48uQJMjIyYGtri+bNm6Nfv37ibFJE\nunThwgXxsbrrb+7n5KJem3Pr1KhRQ0sREhVNamoqbt68CUD1fNRk/fr1ePjwIVJSUmBlZYXGjRuj\nb9++nJ6fSMtyx2gkEkm+5Vfy4hgNVTTnz5/HpUuX8Pr1a5iYmKBOnTro2rUrOnbsqOvQiN6aXC5H\nYGAggKJ/DxAEAU+ePBFn5iQqj7KysvDjjz/C398fqampsLGxQdOmTdGvXz/UrFlT1+ERFTpGk/vZ\n2sPDQ+3Mlrn++9m6UaNGWoySqHBZWVm4cuUKgJylEAtb1vO3335DYGAgkpKSYGlpiYYNG6J3796o\nX79+WYRbZpjAQ1VW7h2/hf1okHd/eHh4qcZEpA1r1qxRu71t27bYtm0bGjZsWMYREWlP3utwca/f\nTOCh8iwmJgZz587Nt93AwACTJ0/GqlWrCv0CQ1RaIiIisHXrVgCAs7Nzvh+ckpOTkZSUBICfran8\n+/7778W7vjUtxZnX9OnT822TSqUYNmwYNmzYACsrK22HSFQl5Y7RVKtWDQYGBhrL2djYwNjYGOnp\n6XwfoQrh559/Vru9efPm2Lp1K1q0aFHGERFpT3R0NBQKBYDifw9gAg+VZ2lpaZg5c2a+7Xp6ehg7\ndix++OEHmJmZ6SAyIiAuLk78fGFnZ4eePXvmK8PfP6mi+OWXXxATEwOgaGM06sbPJRIJBgwYgI0b\nN6J69epaj1EXmMBDVVZycjKAnBl4CmJoaAg9PT0oFApO70nlmqGhIby8vNCiRQvUqlULpqamePny\nJQ4fPow7d+7gxo0baNu2LXx9fTlARBVW7rUbKPz6nXc/r99Unjk5OaF3796oV68enJ2dkZmZiXv3\n7mHPnj2Ij4/HunXrcP/+fZw5c6bAH7SISkN2djbGjBkjXkdXrlwJPT3Vr5G8NlNFcevWLaxcuRIA\n4OLigmnTpmksa2tri969e8PDwwO1atWCIAjw9/fHnj17EBERgV27duHevXv4559/mMRDpAVFHaMB\nABMTE6Snp/N9hMo1fX19dOnSBa1bt0atWrVgbm6O0NBQHDt2DH5+fvj333/RoUMHnDt3Tlz+maii\n4fcAqozs7e3Rq1cvuLu7o1atWsjKysLDhw+xe/duvH79Glu2bMG9e/dw6dKlIn1uIdImQRAwYcIE\nxMbGAgCWLl0KExMTlTJpaWlQKpUAeG2m8u3x48dYuHAhAKB69epqk3NyWVlZoVevXmjYsCFcXFwg\nkUjw9OlT7Nu3Dy9fvsTBgwdx7949+Pn5wd7evqy6UGqYwENVllwuB4B8P0Coo6+vD4VCgczMzNIO\ni6hE6tevj4iICNja2ubbt3DhQvzyyy+YNm0aUlJSMHToUDx+/LhI5z5ReZN77QYKv37nTXTg9ZvK\nq7lz5+Knn36CVCrNt2/FihUYOnQozpw5g0uXLmHlypVYsmSJDqKkqmzu3Lk4f/48AGDo0KEYMWJE\nvjK8NlNFEBkZiYEDByIzMxN6enrYvXt3voHOXMOGDcP06dPVJk0uX74cEydOxB9//IHHjx9j5syZ\n+P3330s7fKJKrzhjNLn/b/J9hMorJycnhIWFqf3xYN68edi5cyc++eQTZGZmYujQoXj+/LnG9ySi\n8ozfA6iymThxIpYuXar2fF6xYgVGjRqFgwcP4vbt21i4cCHWrl2rgyipKlu+fDkOHjwIAOjXrx+m\nTJmSrwyvzVQRxMfH4/3330dKSgokEgl27NgBa2trtWW9vb0xYsQIGBsb59v31VdfYebMmfj555/x\n8uVLTJo0CYcOHSrt8Etd/l8KiKqI3C/GRXlTysjIAFC0O8GIdMHCwkJt8k6uKVOm4PPPPwcAPH/+\nHEePHi2jyIi0K++gZmHX7/T0dPExr99UXrm4uKhN3gFy7iw4ePCguL76unXrkJ2dXZbhURX3ww8/\niAOS7dq1E5fR+i9em6m8S0xMRJ8+fcQpwTdt2oQOHTpoLF+jRg2NM54ZGRnh999/R6tWrQAAf/zx\nh3j3IxGVXHHGaHLfS/g+QuWViYlJgXf+jhw5EosWLQIAvHr1Cnv37i2r0Ii0it8DqLJxdnbWmPBg\namqKPXv2wMPDA0DOd4q0tLSyDI+quK1bt4o39jVt2hS7du2CRCLJVy7vNZbXZiqPUlNT4e3tjcDA\nQAA5S5336dNHY3lHR0e1yTtAzgQcGzZsgJeXFwDg8OHDCAoK0n7QZYwJPFRlWVpaAsgZzC1IUlIS\nBEEAkJMkQVRRTZ06VXx86dIl3QVC9BZyr91A4dfvN2/eiI95/aaKysTEBGPGjAEAJCQk4P79+7oN\niKqMrVu3Ys6cOQByBoZOnjyp8c7wvNdYXpupvElNTUW/fv3w4MEDADkDQ+PGjXurNqVSKSZNmgQA\nUCqVuHz58lvHSVTVFXWMJjs7W5zen+8jVJFNnjxZ/NGNYzRUUXGMhqoaAwMDjB8/HkDOTd/Xr1/X\ncURUVfz111+YOHEiAKBevXo4c+aMxqWc9fX1YWRkBIDXZip/MjMz8cEHH4jXz0WLFmHWrFlv3W7e\n2agqw2drJvBQleXm5gYg504XhUKhsVxISIj4uG7duqUeF1FpcXV1Fe8giIyM1HE0RCVTu3ZtyGQy\nAKrXZ3V4/abKwt3dXXzM6zeVhb1792LChAkQBAHu7u44d+6cxmlsgZwZSWrUqAGA12YqXzIyMtC/\nf3/4+fkBAJYuXYrZs2drpW1em4m0K3eMJikpqcAfGvKO4fB9hCqyatWqwcbGBgDfR6jisre3h7m5\nOQB+D6Cqg98DqKydOHECI0aMQHZ2NmrVqoXz58/DwcGhwDq5n615babyRKFQYMiQITh//jwAYObM\nmfjqq6+00nZluzYzgYeqrKZNmwLIuWA8fPhQY7m7d++Kj5s0aVLqcRGVFoVCIS69omlJAKLyztDQ\nEPXr1wcA3Lt3r8CyudfvatWqFTh9OVF5l3e6W16/qbQdOXIEI0eOhFKphKurKy5cuIDq1asXWi/3\ns/X9+/fF2SvVyb02y2QyNGzYUDtBE6mRlZWFQYMGwcfHBwDwxRdfiNONawOvzUTalfs+AhT8OZ9j\nNFSZ5L6X8H2EKrLGjRsDKPoYjbGxMX8kpgqN3wOoLF24cAGDBw9GVlYWnJyc4OPjg1q1ahVaL/ez\n9ZMnT5CRkaGxHD9bU1lRKpUYOXIkjh49CgCYNGkSfvjhB621X9muzUzgoSqrb9++4uOTJ09qLHfq\n1CkAOUtYdO3atbTDIio1165dE39Q4xdlqshyr9+PHj1CWFiY2jKJiYniNIz9+vUrs9iISsPVq1fF\nx7x+U2k6e/YsPvroIygUCtSqVQs+Pj7izDqFyb02JyYm4tq1a2rLZGdn49y5cwCATp06iXfrEmlb\ndnY2hg8fLn7Pmz59OlatWqXVY/DaTKRdxR2jkclk6NWrV6nHRVRa7t+/Ly4Hx/cRqshyr9+hoaHw\n9/dXWyYjI0NczqJXr17izMpEFRG/B1BZuXbtGt5//31kZGSgevXquHDhgjizTmFyr81yuRwXLlzQ\nWO706dMAgGbNmsHJyentgyZSQxAEjB8/Hnv37gUAjBkzBr/88otWj1HZrs1M4KEqq0mTJnjnnXcA\nAJs2bRK/NOf14sULHDp0CAAwaNAgmJiYlGmMRNqiUCiwaNEi8Xn//v11GA3R2xk5ciQkEgmUSiXW\nrFmjtsz69evFuwtGjRpVluERadWDBw+we/duADl3NtapU0fHEVFldfnyZQwYMACZmZlwcnLChQsX\n4OLiUuT6H374IYyNjQEAq1evVltm9+7diIiIAMBrM5UeQRAwduxYHDhwAAAwceJErFu3TqvHiIiI\nwPr16wEAtra26Nixo1bbJ6qKnJ2dxZumfv/9d8TFxeUr8+rVK/FzUb9+/WBnZ1eWIRJpjVKpxPz5\n88XnHKOhimz48OHQ09MDoPl7wJYtW8TlEfk9gCqyFy9e4LfffgMA1KpVC82bN9dtQFRp3blzB/36\n9UNqaipsbW1x/vx5eHh4FLl+//79YWlpCQD4/vvv1ZY5duwYnj59CoDXZipd06dPx++//w4AGDp0\nKLZu3QqJRKK19mNjY8Xz3NTUFN27d9da27rCBB6q0lauXAkACA8Px/Dhw5GUlCTuCwsLw6BBgyCX\ny2FkZISlS5fqKEqigmVlZWHx4sW4ffu22iUrAgMD4e3tjStXrgAABg8ejJYtW5Z1mERa07x5cwwd\nOhRATqLO1q1bVfYfOHAAK1asAAD07NkTXl5eZR4jUVH4+vrit99+Q1RUVL59giDg4MGD6NmzJ+Ry\nOYD/fW4h0rZbt27h3XffRVpamnhXV3HvVnFwcMDnn38OIGcZruXLl4tLdwI5CULTp08HADRo0ACj\nR4/WWvxEeU2dOhU7d+4EkHNX18aNG4tV/+HDh/jpp58QHBysdv/FixfRpUsXMblg2bJllWJ6ZqLy\nYOXKlZBKpYiLi8OHH36I+Ph4cV90dDQGDx6M5ORk6OnpiZ/3icqjJUuW4Pr162rHaEJCQjBo0CBx\npqkePXpUih8ZqOpyc3PDp59+CgDYsWMH1q1bp3Lunzp1CvPmzQMAtGnTBgMGDNBJnESFuXnzJjZu\n3Ijw8HC1+0+ePImuXbuKN4J/8803Wv0BmiiXv78/evfujTdv3sDKygrnzp0r9vJWlpaWYrLwpUuX\nMHfuXGRlZYn7b926JV67a9WqhSlTpmivA0R5zJs3Dxs2bAAADBw4EDt37oRUWvT0lBcvXmDNmjV4\n/vy52v1+fn7o0qWLeO2eN28eLCws3j5wHZMI6r5JEFUhy5YtE5NzLC0t0bZtW2RmZsLPzw9yuRxS\nqRR79uzBkCFDdBsokQYZGRniHe82NjaoUaMGHBwcYGRkhODgYDx69Ej84ty1a1ccO3YMZmZmugyZ\nqrhVq1bh9u3b4vPw8HDcuHEDANCxY0c4ODiI+zp37iz+4JtXUlISPD098eDBAwBAvXr1UL9+fbx8\n+RKPHz8GALi6usLPzw/Vq1cvze5QFRYVFYVp06apbLt48SLi4+NhamqKPn36qOz77rvv4OrqKj7f\ntGkTJk+eDIlEAmdnZzg4OMDe3h4ZGRl48OABoqOjAeQsEbFmzRrMmDGj9DtFVZKzs7P4Rbd58+aF\nTsncv39/tXdnZWVlwdvbW1wmy9nZGU2bNkVkZKS4rrqtrS3++ecfuLu7a7kXRMDff/+NwYMHA8i5\ndvbv37/QgaFff/0VNjY24vPTp0+L043nfq52cHBAdnY2Hj9+jNDQULHs7NmzNd7NSEQl8+OPP2Lm\nzJkAADMzM7Rr1w5KpRJ+fn5IT08HkDOTw/jx43UZJlGBjIyMkJmZCSsrK9SsWRMODg4wNjZGaGgo\nHj58CKVSCQBo3bo1zpw5A2trax1HTFXZTz/9hMuXL4vPo6OjxWUoWrdujVq1aon7WrVqhS+//DJf\nG+np6ejevTv8/PwAAHXq1EHDhg0RFhYmjts4OTnBz89PpT0ibUpOTsbYsWNVtl29ehXR0dEwMDDA\ne++9p7JvyZIlKkkRe/fuxbBhwwBAZYwmKysLDx8+xKtXrwAAEokEy5YtU5ntnkibmjRpgkePHgEA\nGjVqVOjMOz169MCkSZPybVcqlfjwww9x8OBBAICjoyPeeecdxMbG4tatWxAEAebm5vD19RVXKyHS\npgsXLqBHjx4Acq6d7733HvT19Quss3btWjg7O4vPr1+/jvbt2wPIOYcdHR3h4OAAQRAQEBCAoKAg\nseynn36KzZs3V47kSoGIhN27dwtubm4CAJV/LVq0EK5cuaLr8IgKlJ2dLaxYsULo1KmToKenl+88\nBiA0btxY2Lhxo5Cdna3rcIkEb29vteepun8jRozQ2E5ycrIwdepUwdTUVKWOkZGRMGbMGCEuLq4M\ne0VV0fPnz4t8LgMQbt26pVL/yZMnwuTJkwVXV1e15Q0MDIQPPvhAuHnzpo56SFWFpaVlsc7l2bNn\na2xLLpcLixcvFmxsbFTq6OnpCe+//74QGhpahj2jqub3338v1rkMQAgLC1NpIyIiQpg1a5bQsGFD\nteVlMpnQvXt34ezZszrqJVHld+TIEcHDw0Pt99ozZ87oOjyiQn3//fdC165dBX19fbXvJfXr1xfW\nrl0rZGVl6TpUImHEiBFF/tzk7e2tsZ309HRhzpw5goWFhUodfX194aOPPhKioqLKsFdUFcXExBTr\ne8C5c+dU6gcFBQnTp08X6tWrp7a8np6e0K9fP+Hy5cs66iFVFS4uLsU6l8eNG6exLYVCIaxatUqo\nVq2aSh2pVCr06dNHeP78eRn2jKqaQ4cOFXuM5uHDhyptxMTECF988YXQtGlTteWlUqng6ekpHDly\nREe9LB2cgYcoj9w7KmUyGerWrYs6deroOiSiYklJSUFoaChevXqFtLQ0WFlZoUGDBqhWrZquQyMS\n/fPPP4iMjCxSWRcXF7Ru3brAMmlpabh//z5iY2NhY2ODJk2aVIppEqn8S01NxalTp4pcvnv37hrv\nro2KikJ4eDiioqIgk8lQvXp1NG7cGIaGhtoKl0ijo0ePiku1FYW7u3uh0zfL5XLcv38f0dHRsLCw\nQMOGDWFnZ/e2oRIVKCQkBLdu3SpWHW9vb3E2y/+KjY1FWFgYoqKioFQqYWdnh8aNG8PU1FQb4RJR\nIQICAsTl7FxdXVGvXj3dBkRUTGlpaQgJCUFkZCRSUlJgaWmJ+vXrw9HRUdehEYlu3bqFkJCQIpV1\ndHREx44dCyyTd0ZZKysrNG7cmLNMUZmQy+U4evRokct37txZ46zdr1+/FsdoAKBatWpo3Lixxu8N\nRNp06tQppKamFrl8nTp10LJlywLLKBQKPHjwAK9evYKZmRkaNGgAe3v7tw2VqECvXr3CtWvXilWn\nV69eGn/biY+PR1hYGCIjI6FQKGBra4vGjRvD3NxcG+GWK0zgISIiIiIiIiIiIiIiIiIiIiLSoYIX\ngyciIiIiIiIiIiIiIiIiIiIiolLFBB4iIiIiIiIiIiIiIiIiIiIiIh1iAg8RERERERERERERERER\nERERkQ4xgYeIiIiIiIiIiIiIiIiIiIiISIeYwENEREREREREREREREREREREpENM4CEiIiIiIiIi\nIiIiIiIiIiIi0iEm8BARERERERERERERERERERER6RATeIiIiIiIiIiIiIiIiIiIiIiIdIgJPERE\nREREREREREREREREREREOsQEHiIiIiIiIiIiIiIiIiIiIiIiHWICDxERERERERERERERERERERGR\nDjGBh4iIiIiIiIiIiIiIiIiIiIhIh5jAQ0RERERERERERERERERERESkQ0zgISIiIiIiIiIiIiIi\nIiIiIiLSIT1dB0BERERUGb169QppaWmwt7eHubl5seunpaXh1atXAIDatWtDT48f28ramzdvEBMT\nA1NTUzg6Ouo6HCIiIiIiIiIqgaioKKSkpKBatWqwtLQsdv2MjAyEh4cDAGrVqgUDAwNth0iFSElJ\nQVRUFIyNjVGjRg1dh0NERFRq+EsQERERVUkhISHYvn07Ll++jOjoaFSvXh29evXCpEmTYGVl9VZt\nR0REoH79+sjOzsaLFy9KlMDj4+OD9957DwDw8uVL1K5d+61iouJ7/fo1GjRoADMzMwQGBsLOzk7X\nIRERERERERFVOq9evcL27dtx8eJFREVFwdbWFt26dcPUqVPf+rt4fHw8GjZsiKSkJPj7+5cogef2\n7dvw9PQEANy7dw/Nmzd/q5io+JKTk9GkSRNIJBIEBATA2dlZ1yERERGVCi6hRURERFXO999/Dw8P\nDyxduhQ+Pj7w9/fHxYsXMW/ePLRt21a8q6qk5s+fj7S0NEycOJF3BVVg9erVw8cff4w3b95g6dKl\nug6HiIiIiIiIqNLZtGkT3N3dsWDBApw/fx6PHj2Cr68vli5dilatWiEwMPCt2l+2bBkSEhIwYsQI\nuLu7aylqKmuOjo6YOHEi0tPTMW/ePF2HQ0REVGqYwENERERVysyZMzF37lwoFArMmTMHt2/fhr+/\nP7766itIpVI8e/YMkyZNKnH7d+/exc6dO2FsbMwBhUpg8eLF0NPTw+bNm/HkyRNdh0NERERERERU\naXz11VeYPHky0tLSMG3aNNy4cQNPnjzB999/D319fYSEhGDs2LEQBKFE7T979gwbN26Enp4eFi9e\nrOXoqazNmzcPxsbG2L17N27evKnrcIiIiEoFE3iIiIioytiyZQt+/PFH6Onp4fjx41i9ejVatmyJ\nhg0bYtGiRfjiiy8AACdOnEBAQECJjvHNN99AEAQMGjQIDg4O2gyfdMDV1RV9+vSBQqHAd999p+tw\niIiIiIiIiCqFAwcOYMmSJZBKpdi3bx/Wr1+PNm3awMPDA7Nnz8aKFSsAAFevXi1xssZ3332HrKws\n9OnTB25ubtoMn3TA3t4egwYNgiAIWLlypa7DISIiKhVM4CEiIqIqISwsDDNnzgSQM31y796985WZ\nMmWK+PjEiRPFPkZkZCSOHDkCABg5cmQJI6XyJve13LdvHxISEnQcDREREREREVHFFhcXhwkTJgAA\nZs+ejcGDB+crM2nSJEilOT9hlWSM5s2bN9izZw8AjtFUJrmv5bFjxxAeHq7jaIiIiLSPCTxERERU\nJXz99ddITU2Fo6MjZs+erbZMzZo1YWxsDAAlWmN9y5YtUCgUcHR0RPfu3YtUR6lUIjo6GnFxccU+\nXl7Z2dmIjo5GREQE5HJ5seu/efMGERERyM7OVtkeFBSEwMBAJCYm5qsTGhqKwMBAxMTEqGyXy+UI\nCQkpcCAlMTERoaGhSElJKXasAJCRkYHw8HDExMRAqVQWq+6bN28QEhKitk/q9O/fHxYWFkhPT8f2\n7duLHywRERERERERiVavXo2EhARYWVlh0aJFastYWFjA3t4eQMnGaHbs2IG0tDRYWFigf//+Raoj\nCAJev36N2NjYYh8vL6VSiZiYGISHhyMzM7PY9ZOTkxEREQGFQqGyPTg4GIGBgWrHkCIiIhAYGIio\nqCiV7QqFAmFhYQgJCdF4vDdv3iA0NBTJycnFjhUAMjMzERERgdevX+cbVypMcnIyQkNDi3zDVPfu\n3eHo6Ijs7Gxs2bKlJOESERGVa0zgISIiokovJiYGv//+OwBg8uTJMDQ01FjWxMQEAEo0WHPo0CEA\ngJeXF2QyWYFlExISMH36dFSrVg0ODg6ws7ODg4MDvvrqK2RlZRX5mMeOHUOvXr1gZmYGBwcH1KxZ\nE2ZmZujatSuOHj1aYF1BEPDrr7+iYcOGsLKyEhOYPvroI7x48QIA0LRpU9SrVw+bNm3KV79Xr16o\nV6+eONh28uRJdOrUCUZGRqhduzY++OADlfJPnjzBmDFjUL16dVhbW8PFxQXm5uZo2LAhvvvuO2Rk\nZBQYb3p6OtasWYN33nkHJiYmcHZ2RvXq1WFra4uPP/4YT5480Vg3Pj4ec+bMgYuLC6ysrFC7dm1Y\nW1vDxMQErVq1wrfffovIyEi1dY2MjODp6QkAOHjwYIExEhEREREREZFmqamp+PnnnwEAn3zyCczN\nzTWW1cYYjaenJ4yMjAosm5ycjP/7v/+Dg4MD7O3tUa1aNdjZ2WHevHmFjlXkde7cOXh7e8Pc3BzV\nq1eHs7MzTE1N0bFjR+zbt6/Q+n/++SeaNWsGCwsLcYzmgw8+wOPHjwEAnTp1Qr169bB69ep8dT/6\n6CPUq1cP06ZNAwD4+vqiR48eMDQ0RK1atdClSxeV8kFBQZgwYQKcnJxgZWUFFxcXWFhYoH79+li+\nfHmhN1zJ5XL88ssvaNOmDUxMTFCzZk3Y29vD2toagwcPxr179zTWTUpKwsKFC+Hm5gYLCwu4uLjA\nxsYGRkZGaNasGZYvX47Q0FC1dWUyGby8vABwjIaIiConPV0HQERERFTa9u7dK85KU9i0ybnlDAwM\ninWMxMREPHjwAADQrl27AsuGhYWha9euCAoKEo9lb2+P2NhYLFmyBP/884/Kcl7qZGRkYOzYsdi7\nd6+4zcHBATKZDK9evYKvry98fX0xdepUbNiwIV99pVKJkSNHYvfu3QAAiUQCe3t7ZGVlYf/+/bh4\n8SIuXrxY5P7/9NNP+PzzzyGRSODk5AQjIyM4OzuL+zdv3oxp06aJd49ZWlrC0tIS0dHRePLkCb74\n4gvs378fp0+fhp2dXb72X7x4AW9vbwQEBAAA9PX14eDggLS0NMTFxWHXrl34+++/sWvXLgwcOFCl\nbmRkJDp06IDg4GAAOYM9dnZ2EAQBMTExuHPnDu7cuQOZTIY5c+ao7V+7du1w4sQJ3Lx5E+np6eJM\nTURERERERERUdAcPHhSTQ0prjCYzMxPXr18HUPgYzevXr+Hl5QV/f38AOeMN9vb2iI+Px6pVq3D5\n8mV89dVXBbahUCgwefJk/Pbbb+K26tWrw8DAAJGRkbh27RquXbuGEydOYPv27eLSYHlNnjxZ5eYp\ne3t7KJVKHDlyBJcuXcK5c+eK3P8///wTY8eORXZ2NhwcHMQEm1y7du3CuHHjxNmBLCwsYGVlhZiY\nGDx//hyLFy/Gvn37cPr0aZV6uV69eoX33nsPd+/eBQDo6enByckJcrkcr1+/xt9//40jR45g8+bN\n+OSTT1TqJiQkoGPHjuJNWFKpFLa2tpDJZIiOjsaDBw/w4MEDZGZmYsWKFWr7165dO+zatQv+/v6I\njY1VO45ERERUUXEGHiIiIqr0Dhw4AABo1qwZateurbFcdna2OIhkaWlZrGNcvXpVXMqpbdu2Gssp\nlUoMGTIEQUFBkMlk+O677xAfH4/Q0FAkJiZi27ZtuHr1Kn744YcCjzdx4kTs3bsXenp6WLhwIaKi\nohAZGYnw8HBER0fjs88+AwD8/PPPWL9+fb76a9asEZN3BgwYgODgYERGRiI2NhZ3795FrVq1MGbM\nmCItT/XgwQPMmTMHn3/+OaKjoxEeHo7AwEDxbre//voLkyZNgkKhQP/+/fHvv/8iMTERISEhePPm\nDbZt2wYzMzPcuXMHI0aMyNf+mzdv0KtXLwQEBMDR0RG7du1CUlISQkNDERsbi3///RcdO3ZERkYG\nPv74Y3HQLdeSJUsQHBwMY2NjbN++HSkpKYiKikJ0dDQyMjJw7949fPnll3ByctLYx/bt2wPIGTy8\ndu1aoX8TIiIiIiIiIsovd4zGxcUFzZs3L7Bs7rJKxR2juXXrljhzTkFjNEBOEpG/vz8kEgmWLFmC\n2NhYhIWF4c2bN9i9ezf8/f0LTeCZPXs2fvvtN0ilUsyePVscmwkLC0NMTAy+/PJLSCQS7Ny5E19/\n/XW++lu2bBGTd3r16oXnz58jKioKr1+/hr+/P5o2bYpRo0YVacn04OBgTJo0CaNGjUJERARevXqF\nwMBAXLp0CQBw5swZjBo1CpmZmejRowdu3bqlMkazZ88eWFtbw9/fHx9++GG+caGMjAz069cPd+/e\nhY2NDbZs2YLExESEhYUhOjoaT58+Re/evaFQKDBx4kT4+fmp1F+5ciWePHkCfX19bNy4EUlJSXj9\n+jUiIyORmZmJR48eYfHixXBxcdHYx9wxGkEQ4OvrW+jfhIiIqEIRiIiIiCqx9PR0wdDQUAAg2Nvb\nC126dNH4r1OnTgIAAYDwww8/FOs433//vVg3OjpaY7m//vpLLLdmzRq1Zf7++2+xDADh5cuXKvt9\nfHzEfTt27NB4rClTpggABDs7OyEtLU3cnpycLJibmwsAhC5duggKhSJf3YSEBKFmzZricVauXJmv\njLu7u7h/+vTpamNITU0V7OzsBADCkCFDBKVSqbbcyZMnxbZ8fHxU9s2aNUsAIFhaWgovXrzQeBwP\nDw/xOHnVrl1bACDMnj1bbd2ieP78uRjfL7/8UuJ2iIiIiIiIiKqq7OxswdraWgAg2NraFjhG06VL\nF/F7+OLFi4t1nN9++02sGxAQoLHcuXPnxHKLFi1SW+bChQsqYzT37t1T2X/nzh1x37p16zQea/78\n+QIAwdTUVIiPjxe3y+Vywd7eXgAgtGjRQsjMzMxXNzU1Vahfv754nC+++CJfmY4dO4r7hw8frjaG\nrKwswcXFRQAg9OnTR+14kCAIwtWrVwWJRCIAEA4ePKiy75tvvhEACIaGhsL9+/fV1pfL5ULbtm0F\nAIKXl5fKvubNmwsAhHHjxqmtWxQxMTFiX7/55psSt0NERFQecQYeIiIiqtRu3rwpTgkcHR0tLi2l\n7t/Vq1fFevXr1y/WcWJiYsTHNjY2Gsvt3LkTAODo6IgZM2aoLTNw4MAC7xDLXRKrRYsWGDVqlMZy\nCxYsAJCzVvzly5fF7UePHkVycjIA4KuvvoJMJstX18rKCv/3f/+nse289PX1sXjxYrX79u3bh9jY\nWEilUqxZswYSiURtub59+6JFixYAVNcwl8vl+PXXXwEAM2bMgKurq9r6JiYmmDVrFgDg+PHjyMrK\nEvfl3i2mp1fy1WNtbW3Fx3lfayIiIiIiIiIqmkePHomz6sTFxRU4RpN3ZpXSHqOxsLDAvHnz1Jbx\n8vJC7969Nbbx888/AwDq1q0rzoaszhdffAF9fX2kpqbi7Nmz4vZz584hOjoaQM4MwuqWCzMxMcHC\nhQs1tv1fy5cvV7v92LFjCAkJAQD88MMPaseDAKBjx47o1q0bANUxGuB//R03bhyaNm2qtr6+vj6+\n+OILAMDFixfF1xzQzhiNtbW1OL7EMRoiIqpsSv4OSURERFQBPH78WHw8c+ZMWFhYaCx79uxZ+Pn5\nQSKRFLpG+n/FxsYCAMzNzQschMidOrhXr14aB0oAwNvbGzdu3Mi3XRAEXLx4EQDQqlUrBAcHi9vV\n/dfGxgbx8fG4f/++OOCUG4OpqSk6deqkMYa+fftq3JdXq1atVBJc8vLx8QEA1KlTBwqFAsHBwWJs\n/423Tp06uHv3Lu7fvy/uv3XrlrisWcOGDQvsb24MaWlpeP78ORo2bAgAaN68OUJDQ/HTTz/BxcUF\nI0aMKPA8UMfKygpSqRRKpZKDQ0REREREREQlkHeMZvLkyahevbrGspcvXxbHP3KXTCqq3DEaICfZ\nQ5Pc8ZFu3brB2NhYYzlvb2+cOXNG7b7ccY9WrVqJyTH/HbPIfVyjRg0EBwfj/v37+Oijj1RikEql\n6NGjh8YYijpGU69ePY03P+XGWq1aNRgbGxc4RpO7hFXeMZqAgABEREQAAJo0aVLgGI2VlZX4+OHD\nh+jcuTOAnDGaBw8eYNu2bahfvz7GjBlTYJKVOjKZDFZWVkhISOAYDRERVTpM4CEiIqJKLTAwEAAg\nkUiwatUqtXcy5cpdD7xhw4YaE1I0yW0378wv/yWXy8WBhbp16xbYnqb9CQkJ4p1Lv/76qzg7TWHi\n4+PFx+Hh4QBykmqkUs0TMrq6ukIikagM5qjj5uamcd+LFy/E/9apU6fYsebWB4ChQ4cWqf5/21i+\nfDnOnDmD9PR0TJkyBTNmzECrVq3QqVMndO3aFd27d4ehoWGB7SkUCvEusYLOISIiIiIiIiJSL3eM\nBgCWLVuGatWqaSz7wQcfAABq1KihMSFFk7zf2xUKhcYbqHLHR0o6RpOdnS0m7ezduxd79+4tUnzq\nxmicnJxgYmKisY6dnR0sLCyQlJRUYNtFGaOJiYl56zGayZMnF6n+f9tYvHgxDh48iJSUFMyePRtf\nfPEFWrRogU6dOqFz587o2bNngX+HXHK5HADHaIiIqPJhAg8RERFVarkJM3Z2dgV+qX/z5o1411P/\n/v2LfZzcQaeMjAykp6ervXMrPT1dfFzQnV0F7c9d+ir3mEWdSSb3zqfcGAHAyMiowDpSqRQGBgbi\nEmSamJqaatyXG6+JiQkcHR2LFGuNGjXy1QeA2rVrFzhrUV76+vri46ZNm+LatWuYP38+zp07h6ys\nLPj5+cHPzw+rV6+GlZUVZs+ejS+//FLj7El5B5sKGmAkIiIiIiIiIvVyx2j09fUL/G6dmZkpzr7z\nNmM0QM73eU3jEbnjIyUdo0lJSRFverK1tVUZeylI3hlnijpGkxtHYQk8RRmjMTIyUhl7KUjev2Xe\nMRpnZ+ciJ8/k7ZubmxuuX7+O+fPn48SJE1AoFLh58yZu3ryJH374AWZmZvjss8+wZMkSjTdbyeVy\n6IvSZQAAEFJJREFUpKam5ouPiIioMmACDxEREVVqucknZmZmBZY7dOiQePfOxx9/XOzj5J32OS4u\nDjVr1sxXxtzcXJzR5s2bNwW2l5iYqHZ73sGgmTNnalyjvSC5ST+FxZCZmVlo8k5hcuNt3rw5/vnn\nnxLXB4CjR4+iSZMmJYqjRYsWOH36NGJjY3H58mVcuXIFly9fxr1795CYmIhFixYhNDRU44xGeRN4\nCprim4iIiIiIiIjUK+oYzalTp8REFW2M0WhK4DE3N0dSUlKJx2jMzc3F5bbHjRuHb7/9ttixFnWM\nBkChyTuFyR1jcXV1hb+/f4nrA8COHTvQrVu3EsXRqFEjHDlyBAkJCbhy5Yr4L3cZ9ZUrVyIwMBD7\n9+9XWz8uLk58zDEaIiKqbDSvmUBERERUCeTeeVTQ0lYA8PPPPwMAunfvjoYNGxb7OC1atBAfP336\nVG0ZqVQqTvv84MGDAtt7+PCh2u2WlpbiwNONGzeKHSfwv6mfX758ibS0NI3lHj16VKL28/Lw8ACQ\ns2Z6SZKBcusDJe9vXnZ2dhg4cCDWrl2LO3fu4NmzZ2jevDkA4LfffkN0dLTaenkHtvK+1kRERERE\nRERUNEUdo9mwYQMAoFWrVujQoUOxj1OUMRoAqFevHoCSj9FIpVLUr18fwNuP0cTExOD169cay714\n8UJlZueSyB1jefbsmcakpII0aNBAfKyNMRpra2v0798fq1evxvXr1xEUFISOHTsCAP766y88f/5c\nbT2O0RARUWXGBB4iIiKq1FxcXAAA0dHRGgc6Dh8+jNu3bwMAli9fXqLjtGrVShyIKmgQI/fupLNn\nzyIhIUFtmaysLBw4cEBjG97e3gBy7kgLDg4udqxdu3YFkLMO/KFDhzSW27dvX7Hb/q93330XAJCa\nmoodO3YUu/4777wDJycnAMCmTZvEqam1pW7duli0aBEAQBAEBAUFqS13/fp1ADmDS02bNtVqDERE\nRERERERVQe4YTUpKCmJjY9WWuXjxIi5cuAAA+Oqrr0p0nAYNGsDe3h5A0cZorl69ioiICLVllEpl\ngeMjueMeV65cKdGNULljNEBO0oom2hyjUSgUGmcgLkitWrXQuHFjADk3QRWWiFVcLi4uKq95YGCg\n2nK5YzSGhoZo166dVmMgIiLSNSbwEBERUaWWOxCSlZWFI0eO5NsfEhKCyZMnAwCmTp2K9u3bl+g4\n+vr64l1CuQMJ6kyYMAEAkJ6ejs8++0xtQsqSJUsQFhamsY3/+7//g76+PuRyOYYMGaIydbA6ueup\n5+revbs4E9CCBQvU3uH177//YsOGDZBIJAW2XZj+/fuLCS9z5swp9A4tQRBUZuqRSqWYP38+AODO\nnTuYNWsWlEplgW3k7e9/21MnICBAfKxpWu3cuDt37gyplB+hiYiIiIiIiIorb7KKuhuXoqOj8ckn\nnwAARowYgb59+5b4WF26dAFQ8BjN+PHjIZPJkJ2djcmTJyM7Oztfme+//x6PHz/W2MbMmTNhYmIC\npVKJoUOHIjIyssC4MjMzVcaCWrduLc4MvHz5crXjQc+ePcN333331mM0Xbp0QadOnQDkjD35+PgU\nWue/YyoLFy4EkDMj0KefflpoEs9/x6T++/y/ijNG065dOxgZGRXYHhERUUUjEbR9GzMRERFROaJU\nKuHh4YHnz5/DwcEBJ06cEKfXPXv2LMaPH4+wsDB06NAB58+fh7GxcYmPtXPnTowaNQomJiaIjo7W\nuKb7pEmTsHnzZgBAz549MWPGDNSpUwevXr3C1q1bsXfvXkydOlVc1uvly5eoXbu2Shtbt27F+PHj\nAQAODg6YMmUKunTpgurVq+PNmzeIiorCy5cvcfbs/2vv7mOqrP8/jr8kBAFDbpQToYgwZ2mpiNDa\nQYjkRrtBF27RzexmEdZaf5QLWsaqLa01s1bONtti1dQJtYwF8oUzOiDdibKcLfGmiOR0OJBD5EB4\nguv7h+NsCEf8/lSun/p8bNcfh3O9P5/3dZ3zD5+9zuf6j/bt2zfqOel79+7VPffcI8MwNHv2bG3Y\nsEEpKSnyeDyqra3Vpk2btHr1apWXl8vtdmvTpk0qLi4eMcYtt9yilpYWFRYW6qOPPvJ5X44cOaI7\n77xT3d3dCggI0Nq1a7Vq1SrNmTNHHo9HTqdTDodD9fX12rt3r0pLS7VixQpvvWEYWrNmjb788ktJ\n53Y7evrpp5WYmKiQkBB1dnbK6XTq8OHDqqysVGxsrPfcf/75R5GRkcrIyFBWVpbi4+N10003KTg4\nWE6nUxUVFfrwww81ODiozMxM1dTUjOrf5XIpJiZG//77r8rKyrRmzRqf1woAAAAAAHxLSkrSwYMH\nFR4eroqKCu+PoRoaGvTkk0/q+PHjWrRokerr6xUaGvp/nqeiokK5ubny9/dXe3u7oqKixjyvuLhY\nb7/9tiRp2bJlevHFFzV37ly5XC59+umnKi0t1bPPPutdo2lubvYGboaVlZUpPz9fQ0NDioyM1DPP\nPKPly5fLYrGot7dXTqdTra2tqq2tlc1mk9PpHLFm9N133yktLU2Dg4OKjo7Whg0bZLVaNTQ0JLvd\nrjfffFNWq1VNTU1qb29XUVGR3nrrrRE9pKamqrGxUXl5eRfc1bmtrU0pKSnq6OjQDTfcoEceeUQP\nPPCA4uPjZRiGnE6n/vrrLzU0NKiqqkqbN29Wfn7+iDEKCgr08ccfS5Juu+02rVu3TsnJyQoNDVVX\nV5ecTqd+/fVXVVVVafLkybLb7d7a8PBw3XHHHcrOzlZCQoKio6M1depUdXR0qLq6Wlu2bNHZs2eV\nnJysn376aVT/vb29slgs6uvr0/bt271rYwAAXDMMAACAa5zNZjMCAgIMScakSZOM2NhYY/r06YYk\nQ5KRlZVl9PT0XPI8/f39RmRkpCHJ+OSTT3yed/bsWSM/P987//nHxo0bjYqKCu/r33//fcxxysvL\nR1yHr+PGG28cs3779u3e+3L+kZ6ebnR3dxtBQUGGJOPdd98dVT9v3jxDklFYWDjuvWlpaTGWLFky\nbq+TJk0y6urqRtV7PB5j/fr1hr+//7hjPPTQQ966gYEBIzAwcNya1NRUw+Vyjdn7e++9Z0gyoqOj\nDY/HM+61AgAAAACAsf34449GcHCw9//xmTNnGlFRUd7XVqvV6OrquuR5BgcHjdjYWEOSsWXLlgue\nV1BQ4HO9oKioyGhoaPC+bm5uHnOcyspKIzo6etz1h8DAQMPtdo+q37Vrl3cN5vwjOTnZ6Ozs9I5f\nUlIyqt5qtRqSjLy8vHHvTWtrq/f88Y6vvvpqVP3Q0JDxxhtvXNR6S1ZW1oja8PDwcWuSkpKMP//8\nc8zeS0tLDUnGtGnTjN7e3nGvFQCAqw078AAAgOtCQ0ODioqK9P3333v/lpSUpOeee06PPfbYJW9D\nPOyll17SO++8o4yMjHG3Iv7mm2/02Wef6ciRI/L399f8+fNVWFgoq9Wquro6FRQUSJLsdrtiYmLG\nHKOvr087d+6UzWbTiRMn1NPTo4iICFksFiUkJCgrK0tpaWk+txRuaWnRtm3b9MMPP8jtdis2NlZ5\neXl69NFH5efnp8mTJ0s6t+PP8DbWw3JycnTixAk9/PDDF/1c+urqalVUVOjnn3/WqVOnFBQUJIvF\nopiYGKWnpys7O1szZszwWf/HH39ox44d2rdvnxwOhzwej2bMmCGLxaLFixcrJydHixcvHvF59vX1\nyW63q7a2VseOHZPD4ZDb7VZERIQWLFig1atXa+XKlT6/A0uXLtWBAwdUUlKi119//aKuEwAAAAAA\njK2pqUnr168fsTPLwoULtW7dOhUWFl62R1dv3LhRr7zyihITE3Xw4MELnmuz2VRaWqrDhw/Lz89P\n8+bN01NPPaW7775bBw4c0IMPPijp3M4+t95665hjDAwMaPfu3aqpqdHRo0d1+vRphYWFyWKxaM6c\nOcrMzFRGRoaCg4PHrG9tbdXWrVvV2Nionp4ezZw5U6tWrdITTzyhKVOmaOrUqXK73dq8ebNeeOGF\nEbX5+flqamrSypUr9cEHH1zU/amrq9OePXvU3Nysv//+WwEBAbJYLLr55pu1bNky5eTk+HyMlSQ5\nnU59/vnnqq+v18mTJzUwMOBdo1mwYIFycnKUnJw84vMcGBhQQ0ODampq1NLSIofDoTNnzigsLEzz\n58/X/fffr9zcXJ/fgczMTNlsNj3//PN6//33L+o6AQC4mhDgAQAA1xW3263Ozk5FRUX5XDC5FC6X\nS3PnzlVPT4/279+vpUuXXvY5JsqhQ4e0aNEiSedCRGlpaSZ3NPG+/fZbZWRkKDIyUsePH1dYWJjZ\nLQEAAAAAcE3o6+uTy+XS9OnTfT6G/FL09PR4H4dVW1ur5cuXX/Y5JkpbW5tmz54tSdqzZ49yc3NN\n7mjiNTc3a8mSJQoJCdGxY8cuGC4CAOBqdXlizAAAAFeJkJAQxcXFXZHwjiRFRUXp5ZdfliSVlJRc\nkTkmyu7duyVJgYGBSkxMNLkbcwx/hq+99hrhHQAAAAAALqPg4GDFxcVdkfCOJIWGhnp30n311Vev\nyBwTZXiNxs/PTykpKSZ3Y47hNZri4mLCOwCAaxY78AAAAFxmAwMDuuuuu9TV1aWvv/7a59bKZvN4\nPN5HZJ1v//79Sk9PV39/v/Lz87Vz584J7s58w1tkx8TEyGazyd/f3+yWAAAAAADA/2BwcFBZWVlq\na2vTjh07/t+GXy60RvPLL7/IarXq9OnTWrFihaqqqia4O/MdPXpU9957r8LDw2W32xUUFGR2SwAA\nXBEEeAAAAK5T8fHxuu+++5SamqpZs2YpLCxMDodDlZWV2rZtm/r7+xUSEqJDhw4pPj7e7HYBAAAA\nAACuSQsXLpTValV6erpmzZqliIgIdXR0qLq6Wlu3btWZM2cUEBCgpqYm3X777Wa3CwAArhACPAAA\nANepyMhInTp1yuf7FotFX3zxhaxW6wR2BQAAAAAAcH1JSEjQb7/95vP98PBw7dq1S9nZ2RPYFQAA\nmGgEeAAAAK5TXV1dKisrU2Njo9rb2+VyuTRlyhTFxcUpMzNTa9euVUhIiNltAgAAAAAAXNO6u7tV\nXl6u+vp6nTx5Uh0dHQoMDFRsbKwyMjL0+OOPa9q0aWa3CQAArjACPAAAAAAAAAAAAAAAAICJ/Mxu\nAAAAAAAAAAAAAAAAALieEeABAAAAAAAAAAAAAAAATESABwAAAAAAAAAAAAAAADARAR4AAAAAAAAA\nAAAAAADARAR4AAAAAAAAAAAAAAAAABMR4AEAAAAAAAAAAAAAAABMRIAHAAAAAAAAAAAAAAAAMBEB\nHgAAAAAAAAAAAAAAAMBEBHgAAAAAAAAAAAAAAAAAExHgAQAAAAAAAAAAAAAAAExEgAcAAAAAAAAA\nAAAAAAAwEQEeAAAAAAAAAAAAAAAAwEQEeAAAAAAAAAAAAAAAAAATEeABAAAAAAAAAAAAAAAATESA\nBwAAAAAAAAAAAAAAADARAR4AAAAAAAAAAAAAAADARAR4AAAAAAAAAAAAAAAAABMR4AEAAAAAAAAA\nAAAAAABMRIAHAAAAAAAAAAAAAAAAMNF/AQCh84NIXFUzAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# define consistent colors\n",
        "colors = {\n",
        "    \"diff_front\": \"tab:blue\",\n",
        "    \"diff_back\": \"tab:orange\",\n",
        "    \"flux_front\": \"tab:green\",\n",
        "    \"flux_back\": \"tab:red\",\n",
        "}\n",
        "\n",
        "\n",
        "def plot_errors(ax):\n",
        "    ax.plot(\n",
        "        thetas2,\n",
        "        abs(reflection_analytic - diff_front),\n",
        "        \"-\",\n",
        "        label=\"diffraction monitor front\",\n",
        "        color=colors[\"diff_front\"],\n",
        "    )\n",
        "    ax.plot(\n",
        "        thetas2,\n",
        "        abs(reflection_analytic - diff_back),\n",
        "        \"--\",\n",
        "        label=\"diffraction monitor back\",\n",
        "        color=colors[\"diff_back\"],\n",
        "    )\n",
        "    ax.plot(\n",
        "        thetas2,\n",
        "        abs(reflection_analytic - (1 - flux_front)),\n",
        "        \":\",\n",
        "        label=\"flux monitor front\",\n",
        "        color=colors[\"flux_front\"],\n",
        "    )\n",
        "    ax.plot(\n",
        "        thetas2,\n",
        "        abs(reflection_analytic - (-flux_back)),\n",
        "        \"-.\",\n",
        "        label=\"flux monitor back\",\n",
        "        color=colors[\"flux_back\"],\n",
        "    )\n",
        "    ax.set_xlabel(\"$\\\\theta$ (degrees)\")\n",
        "    ax.legend()\n",
        "\n",
        "\n",
        "fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n",
        "\n",
        "plot_errors(axes[0])\n",
        "axes[0].set_ylabel(\"absolute error\")\n",
        "axes[1].set_ylim(-0.005, 0.029)\n",
        "\n",
        "plot_errors(axes[1])\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "ba8d62df"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As shown, the `DiffractionMonitor` exhibits high error when used for\n",
        "normalization in the presence of forward- and backward-propagating\n",
        "fields of equal magnitude. In contrast, the `FluxMonitor` maintains an\n",
        "error below 1% under the same conditions."
      ],
      "id": "9e5dcd0e-67cf-46fa-a9ad-23cb308ff810"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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fNXbsWH3zzTeSpLS0NL3xxhsFigEA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\nHWNwcLDGjRun5557TkuXLi30+ZI0duxYrVy5Urt27dLOnTtzbX0UHR2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U0u1+VNLteRnCM6knNEFqP7FSCn7Zqmabumaeq2qerdqLfGth2rAYkDPI4H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\n2W73F1abkrP09Jyt6vHSIt375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q2vXlFVh1PCVL0WcyFZOUqe4RQcXOUZptuXILrDp0Ol2HTqdLOq2ejYJK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iIiKn2YwENERERERFQCuNiYYEKrylhzMUBRtvlaEAZ6OsOtvKkOIyvd5HIBXxx6gEP33gAA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\nAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n",
        "\n",
        "ax1 = axes[0]\n",
        "ax1.plot(\n",
        "    thetas2, norm, \"--o\", label=\"normalization - DiffractionMonitor\", color=colors[\"diff_front\"]\n",
        ")\n",
        "ax1.plot(\n",
        "    thetas2,\n",
        "    flux_front - flux_back,\n",
        "    \"--*\",\n",
        "    label=\"normalization - FluxMonitor\",\n",
        "    color=colors[\"flux_front\"],\n",
        ")\n",
        "ax1.plot(thetas2, [1 for _ in thetas2], label=\"Analytical normalization\", color=colors[\"flux_back\"])\n",
        "ax1.set_xlabel(\"$\\\\theta$ (degrees)\")\n",
        "ax1.set_ylabel(\"Normalization\")\n",
        "ax1.legend()\n",
        "\n",
        "ax2 = axes[1]\n",
        "ax2.plot(\n",
        "    thetas2, norm, \"--o\", label=\"normalization - DiffractionMonitor\", color=colors[\"diff_front\"]\n",
        ")\n",
        "ax2.plot(\n",
        "    thetas2,\n",
        "    flux_front - flux_back,\n",
        "    \"--*\",\n",
        "    label=\"normalization - FluxMonitor\",\n",
        "    color=colors[\"flux_front\"],\n",
        ")\n",
        "ax2.plot(thetas2, [1 for _ in thetas2], label=\"Analytical normalization\", color=colors[\"flux_back\"])\n",
        "ax2.set_xlabel(\"$\\\\theta$ (degrees)\")\n",
        "ax2.set_ylim(0.99, 1.01)\n",
        "ax2.legend()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "7858effe"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Increasing resolution\n",
        "\n",
        "Now, we investigate the relative error for the `DiffractionMonitor` and\n",
        "`FluxMonitor` as a function of the resolution."
      ],
      "id": "049fa7fd-c6f2-48f1-8bea-151511dad91c"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [],
      "source": [
        "# create simulations for different angles until total internal reflection\n",
        "resolutions_pw = [10, 20, 30, 40]\n",
        "sims_PW_res = {}\n",
        "\n",
        "for r in resolutions_pw:\n",
        "    sim = get_sim(\n",
        "        source_type=\"PW\",\n",
        "        theta_degree=20,\n",
        "        bloch_medium=medium,\n",
        "        pol_angle_degree=90,\n",
        "        structures=[structure],\n",
        "        min_steps_per_wvl=r,\n",
        "    )\n",
        "    sims_PW_res[str(r)] = sim.updated_copy(monitors=monitors)\n",
        "\n",
        "batch_PW_res = web.Batch(simulations=sims_PW_res, folder_name=\"plane_wave_ref\")"
      ],
      "id": "ccc1c1c0"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "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\">07:22:37 UTC </span>Got <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> simulation from cache.                                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"a73c093f53c643aab9e2ce4dcc3e2168\",\"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\">07:22:39 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</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\">07:22:42 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.867</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\":\"b9900b99c3f84fb68cb0f63d4b25d400\",\"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\">07:23:12 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_data_PW_res = batch_PW_res.run()"
      ],
      "id": "b7f44f9c"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [],
      "source": [
        "# computing the reflection\n",
        "flux_front_res = np.array(\n",
        "    [batch_data_PW_res[str(r)][\"flux_mon_front\"].flux for r in resolutions_pw]\n",
        ").flatten()\n",
        "diff_front_res = np.array(\n",
        "    [batch_data_PW_res[str(r)][\"diff_mon_front\"].power.sum() for r in resolutions_pw]\n",
        ").flatten()\n",
        "\n",
        "flux_back_res = np.array(\n",
        "    [batch_data_PW_res[str(r)][\"flux_mon_back\"].flux for r in resolutions_pw]\n",
        ").flatten()\n",
        "diff_back_res = np.array(\n",
        "    [batch_data_PW_res[str(r)][\"diff_mon_back\"].power.sum() for r in resolutions_pw]\n",
        ").flatten()\n",
        "\n",
        "error_flux_front = [abs(i - reflection_analytic[-1]) for i in (1 - flux_front_res)]\n",
        "error_diff_front = [abs(i - reflection_analytic[-1]) for i in diff_front_res]\n",
        "\n",
        "error_flux_back = [abs(i - reflection_analytic[-1]) for i in (-flux_back_res)]\n",
        "error_diff_back = [abs(i - reflection_analytic[-1]) for i in diff_back_res]"
      ],
      "id": "1ea5cad0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The error for the `DiffractionMonitor` placed in front of the source\n",
        "rapidly decreases as the resolution increases, but it remains slightly\n",
        "higher than that of the `FluxMonitor`. In contrast, the\n",
        "`DiffractionMonitor` placed behind the source shows less than 1% error\n",
        "even at modest resolutions, becoming very similar to the `FluxMonitor`\n",
        "at slightly higher resolutions."
      ],
      "id": "441eabbc-9207-4914-a4c6-92c8b5072971"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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Frl27lmmP0dLSEnr16iX8888/5ZaViIiqD+eaIyIiqiALCwu4u7sDAA4ePCjOtPOy0iPJ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        }
      ],
      "source": [
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5), sharey=True)\n",
        "\n",
        "# plot errors for monitors in front of the source\n",
        "ax1.plot(resolutions_pw, error_diff_front, \"--o\", label=\"error - DiffractionMonitor\")\n",
        "ax1.plot(resolutions_pw, error_flux_front, \"--*\", label=\"error - FluxMonitor\")\n",
        "ax1.set_title(\"Monitors in Front of Source\")\n",
        "ax1.set_xlabel(\"Resolution\")\n",
        "ax1.set_ylabel(\"Error\")\n",
        "ax1.legend()\n",
        "\n",
        "# plot errors for monitors behind the source\n",
        "ax2.plot(resolutions_pw, error_diff_back, \"--o\", label=\"error - DiffractionMonitor\")\n",
        "ax2.plot(resolutions_pw, error_flux_back, \"--*\", label=\"error - FluxMonitor\")\n",
        "ax2.set_title(\"Monitors Behind Source\")\n",
        "ax2.set_xlabel(\"Resolution\")\n",
        "ax2.legend()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "63013665"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In conclusion, the `DiffractionMonitor` is effective for calculating\n",
        "diffraction orders and flux when positioned appropriately. However,\n",
        "caution is needed in setups with high reflectance, where its location\n",
        "becomes critical.\n",
        "\n",
        "## Dipole Source <a name=\"dipole\"></a>\n",
        "\n",
        "The\n",
        "[PointDipole](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PointDipole.html)\n",
        "follows a different normalization scheme compared to other sources. Its\n",
        "spectral power is governed by the analytical expression for a\n",
        "infinitesimal antenna with a fixed current density, which is **not\n",
        "constant with respect to frequency.**\n",
        "\n",
        "The frequency dependence of the radiated power for a 3D electric current\n",
        "dipole follows:\n",
        "\n",
        "$$P(\\nu) = \\frac{\\mu_0 n}{12\\pi c} \\omega^2$$ where: - $\\mu_0$ is the\n",
        "permeability of free space, - $n$ is the refractive index of the\n",
        "medium, - $c$ is the speed of light, - $\\omega$ is the angular\n",
        "frequency.\n",
        "\n",
        "For a magnetic current dipole or lower-dimensional sources (2D and 1D),\n",
        "the equation differs slightly. You can find more details in our\n",
        "[documentation](https://docs.flexcompute.com/projects/tidy3d/en/latest/faq/docs/faq/How-are-results-normalized.html).\n",
        "\n",
        "Unlike sources like plane waves or total-field scattered-field (TFSF)\n",
        "sources, which are typically normalized through their power or amplitude\n",
        "across frequency, the dipole source spectrum reflects the physical\n",
        "reality of how an oscillating dipole behaves.\n",
        "\n",
        "To illustrate, we will create a model with a `PointDipole` with $E_z$\n",
        "polarization, placed at the center of the simulation domain, surrounded\n",
        "by `FluxMonitor` to compute the irradiated flux."
      ],
      "id": "1e1aae6e-b108-44cd-8e8d-137c0c61b3fe"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "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\">07:23:13 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'point_dipole'</span> with resource_id                       \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-e2fee805-f1d7-4760-931a-c530731025bf'</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-e2fee805-f1d7-4760-931a-c530731025bf\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-e2fee805-f1d</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-e2fee805-f1d7-4760-931a-c530731025bf\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">7-4760-931a-c530731025bf'</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\":\"8bdcc9874df44cc3a434c6842e5a6f8f\",\"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\">07:23:15 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.283</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\">07:23:16 UTC </span>status = queued                                                    \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"b728fdfd66ed40dcb8e536ed10082159\",\"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\">07:23:23 UTC </span>status = preprocess                                                \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>"
            ]
          }
        },
        {
          "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\">07:23:28 UTC </span>starting up solver                                                 \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>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"8a32f7a45a694cf8a48570e08e826639\",\"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\">07:23:29 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>%, exiting.                             \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>"
            ]
          }
        },
        {
          "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>status = success                                                   \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>"
            ]
          }
        },
        {
          "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 simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-e2fee805-f1d7-4760-931a-c530731025bf\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-e2fee805-f1d</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-e2fee805-f1d7-4760-931a-c530731025bf\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">7-4760-931a-c530731025bf'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"0bd306db8b1649ad9f6dd4f00ee6d891\",\"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\">07:23:30 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "# dipole source\n",
        "dipole = td.PointDipole(center=(0, 0, 0), source_time=source_time, polarization=\"Ez\")\n",
        "\n",
        "freqs = np.linspace(freq0 - fwidth, freq0 + fwidth, 101)\n",
        "\n",
        "# flux monitor around the dipole source\n",
        "flux_mon = td.FluxMonitor(\n",
        "    name=\"flux_mon\",\n",
        "    size=(1, 1, 1),\n",
        "    center=(0, 0, 0),\n",
        "    freqs=freqs,\n",
        ")\n",
        "sim_pd = get_sim(size=3, source_type=\"TFSF\")\n",
        "sim_pd = sim_pd.updated_copy(size=(3, 3, 3), sources=[dipole], monitors=[flux_mon])\n",
        "sim_data_pd = web.run(sim_pd, \"point_dipole\")"
      ],
      "id": "c9611684"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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pJ598ElKp+XGxfv36YfTo0QCA7du3G8+60j8cLTZZIsrwUHkQ0rVuJu2hsjrs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Xvr9ddf11lnnXV8zZIlS3TzzTersLBQkvTXv/5Vjz/+uMLCAjuij8ARRgEAGoNpmpq8aLaWb06r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\n0qVLVVJSIkm644479Pjjj/vdR2FhoQYMGKDvvvtONptNN9xwg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BgY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\nAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# visualizing the results\n",
        "flux = [(td.MU_0 / (12 * np.pi * td.C_0)) * (2 * np.pi * f) ** 2 for f in freqs]\n",
        "wvls = td.C_0 / freqs\n",
        "\n",
        "fig, ax = plt.subplots()\n",
        "ax.plot(wvls, flux, \"o\", label=\"Power - analytical\")\n",
        "ax.plot(wvls, sim_data_pd[\"flux_mon\"].flux, label=\"Power - simulation\")\n",
        "ax.legend()\n",
        "ax.set_xlabel(\"Wavelength (µm)\")\n",
        "ax.set_ylabel(\"Flux\")\n",
        "\n",
        "plt.show()"
      ],
      "id": "86fc0fba"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Current Source <a name=\"currentSource\"></a>\n",
        "\n",
        "For a finite-size current source, the analytical expression becomes more\n",
        "complex, hence a normalization run might be necessary in some cases.\n",
        "\n",
        "However, an approximation for small-area current dipoles can be derived,\n",
        "as described in Chapter 4.5 of the book\n",
        "`Balanis, C. A. (2005). Antenna Theory: Analysis and Design (3rd ed.). Wiley‑Interscience`:\n",
        "\n",
        "$$P = \\eta \\frac{I^2}{8\\pi^2} \\int\\!\\!\\int \\frac{\\left[\\cos\\left(\\frac{kl}{2} \\cos\\theta\\right) - \\cos\\left(\\frac{kl}{2}\\right)\\right]^2}{\\sin(\\theta)} \\, d\\theta \\, d\\phi$$\n",
        "\n",
        "To compare the emitted flux with the analytical expression, we need to\n",
        "compute the total current using Faraday’s Law of Induction.\n",
        "\n",
        "To illustrate this, we sweep across a range of source areas and compute\n",
        "both the analytical and simulated power."
      ],
      "id": "c3919694-0aa7-4221-8eff-b4723388572f"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [],
      "source": [
        "# function for calculating the current\n",
        "def faraday_law(monitor):\n",
        "    Hx = monitor.Hx\n",
        "    Hy = monitor.Hy\n",
        "\n",
        "    # integrate over a closed circuit\n",
        "    current = -(\n",
        "        -Hx.sel(y=Hx.y.max()).squeeze().integrate(\"x\")\n",
        "        + -Hy.sel(x=Hy.x.min()).squeeze().integrate(\"y\")\n",
        "        + Hx.sel(y=Hx.y.min()).squeeze().integrate(\"x\")\n",
        "        + Hy.sel(x=Hy.x.max()).squeeze().integrate(\"y\")\n",
        "    )\n",
        "\n",
        "    return current"
      ],
      "id": "b875d86d"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {},
      "outputs": [],
      "source": [
        "# create and run the simulation batch\n",
        "sims_cs = {}\n",
        "source_sizes = [\n",
        "    0.2,\n",
        "    0.4,\n",
        "    0.6,\n",
        "    0.8,\n",
        "    1,\n",
        "]\n",
        "for i in source_sizes:\n",
        "    current_source = td.UniformCurrentSource(\n",
        "        center=(0, 0, 0),\n",
        "        source_time=source_time,\n",
        "        polarization=\"Ez\",\n",
        "        size=(i, i, 1),\n",
        "        current_amplitude_definition=\"density\",\n",
        "    )\n",
        "\n",
        "    # flux monitor around the dipole source\n",
        "    flux_mon = td.FluxMonitor(\n",
        "        name=\"flux_mon\",\n",
        "        size=(2, 2, 2),\n",
        "        center=(0, 0, 0),\n",
        "        freqs=[freq0],\n",
        "    )\n",
        "\n",
        "    # field monitor for calculating the current\n",
        "    current_monitor = td.FieldMonitor(\n",
        "        name=\"current_monitor\", size=(3, 3, 0), center=(0, 0, 0), freqs=[freq0]\n",
        "    )\n",
        "\n",
        "    sim_cs = get_sim(size=3, source_type=\"TFSF\")\n",
        "    sim_cs = sim_cs.updated_copy(\n",
        "        size=(4.5, 4.5, 4.5), sources=[current_source], monitors=[flux_mon, current_monitor]\n",
        "    )\n",
        "    sims_cs[str(i)] = sim_cs"
      ],
      "id": "867a0670"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualizing the model."
      ],
      "id": "0c33b9ca-5afa-4507-ae17-364b32042567"
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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k/fbbT+edd54++clPDnl7v/rVrzRp0iRdeumlWrBgge666y7ne1tv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\nJWs+AsT8AAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "sim_cs.plot(x=0)\n",
        "\n",
        "plt.show()"
      ],
      "id": "d13efe6c"
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"e32ab00f3d5a4d9aaa6a15ff5c3f4ada\",\"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\">07:23:34 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</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\">07:23:39 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.122</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\":\"3b0abd6bb7d4470eb0f8065360a43715\",\"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\">07:23:56 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_cs = web.Batch(simulations=sims_cs, folder_name=\"UniformCurrentSource\")\n",
        "batch_cs_data = batch_cs.run()"
      ],
      "id": "cc070629"
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {},
      "outputs": [],
      "source": [
        "currents = []\n",
        "fluxes = []\n",
        "\n",
        "\n",
        "for i in source_sizes:\n",
        "    sim_data = batch_cs_data[str(i)]\n",
        "    fluxes.append(sim_data[\"flux_mon\"].flux)\n",
        "    currents.append(faraday_law(sim_data[\"current_monitor\"]))\n",
        "\n",
        "# calculate the analytical power\n",
        "\n",
        "from scipy.integrate import quad\n",
        "\n",
        "wl0 = td.C_0 / freq0\n",
        "kl = 2 * np.pi * wl0 * 1\n",
        "func = lambda theta: (np.cos((kl / 2) * np.cos(theta)) + np.cos(kl / 2)) ** 2 / np.sin(theta)\n",
        "integral = 2 * np.pi * quad(func, 0, np.pi)[0]\n",
        "\n",
        "analytic_power = [((td.ETA_0 * np.abs(I) ** 2) / (8 * np.pi**2)) * integral for I in currents]"
      ],
      "id": "0b84b264"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As we can see, the computed flux follows the analytical expression for\n",
        "small-area sources, but the error increases for larger areas where the\n",
        "approximation no longer holds."
      ],
      "id": "002c399e-57f8-40f8-83dd-2ce9624f0e56"
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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/H3YdExNjWCtdurSkOx8/++cJbndz4MCB5K+ffPJJxwYEAAAAANxVXEK8us8f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btx48YsL5s+efKk9u7dKynv5+LsrF+/3vr9Rv5GrTBI26+SfcdspUqVsvyA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\nV6hkpUKFCnrwwQc1YcIEff7552rXrp2Sk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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots()\n",
        "\n",
        "ax.plot(source_sizes, fluxes)\n",
        "ax.plot(source_sizes, analytic_power, \"o\")\n",
        "\n",
        "ax.set_xlabel(\"Source plane size [µm]\")\n",
        "ax.set_ylabel(\"Power [W]\")\n",
        "\n",
        "plt.show()"
      ],
      "id": "aef750f9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### One-Dimensional Current Source\n",
        "\n",
        "For 2D and 1D sources, a normalization is applied to ensure that the\n",
        "emitted power remains independent of the simulation resolution.\n",
        "\n",
        "This can be illustrated by simulating a line source at different\n",
        "resolutions and comparing the emitted power in each case."
      ],
      "id": "2e38b256-584b-4057-af8b-3dabef04273b"
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"a252585d6b5f483392889d59afc42f51\",\"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\">07:24:14 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</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\">07:24:18 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.569</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\":\"22684a6a952c46d8a2f408188ecc445c\",\"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\">07:24:45 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": [
        "resolutions = [10, 20, 30, 40, 50]\n",
        "sims_cs_0 = {}\n",
        "\n",
        "for i in resolutions:\n",
        "    current_source = td.UniformCurrentSource(\n",
        "        center=(0, 0, 0),\n",
        "        source_time=source_time,\n",
        "        polarization=\"Ez\",\n",
        "        size=(0, 0, 1),\n",
        "        current_amplitude_definition=\"density\",\n",
        "    )\n",
        "\n",
        "    sim_cs_0 = get_sim(size=3, source_type=\"TFSF\", min_steps_per_wvl=i)\n",
        "    sim_cs_0 = sim_cs_0.updated_copy(\n",
        "        size=(4.5, 4.5, 4.5), sources=[current_source], monitors=[flux_mon, current_monitor]\n",
        "    )\n",
        "    sims_cs_0[str(i)] = sim_cs_0\n",
        "\n",
        "batch_cs_0 = web.Batch(simulations=sims_cs_0, folder_name=\"UniformCurrentSource_0\")\n",
        "batch_cs_data_0 = batch_cs_0.run()"
      ],
      "id": "9f0b4347"
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {},
      "outputs": [],
      "source": [
        "currents_0 = []\n",
        "fluxes_0 = []\n",
        "\n",
        "for i in resolutions:\n",
        "    sim_data = batch_cs_data_0[str(i)]\n",
        "    fluxes_0.append(sim_data[\"flux_mon\"].flux)\n",
        "    currents_0.append(faraday_law(sim_data[\"current_monitor\"]))"
      ],
      "id": "4bbad521"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As we can see, the results are close to the approximated analytical\n",
        "expression."
      ],
      "id": "91bfde1e-1a22-4e46-94aa-98b2da53282f"
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots()\n",
        "\n",
        "analytic_power_0 = [((td.ETA_0 * np.abs(I) ** 2) / (8 * np.pi**2)) * integral for I in currents_0]\n",
        "\n",
        "ax.plot(resolutions, fluxes_0)\n",
        "ax.plot(resolutions, analytic_power_0, \"o\")\n",
        "\n",
        "ax.set_xlabel(\"Resolution\")\n",
        "ax.set_ylabel(\"Power [W]\")\n",
        "\n",
        "ax.set_ylim(120, 150)\n",
        "\n",
        "plt.show()"
      ],
      "id": "31665ec8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In conclusion, although an approximate expression can be derived for the\n",
        "power emitted by a `UniformCurrentSource`, most practical cases do not\n",
        "satisfy the approximation assumptions. Therefore, if accurate\n",
        "normalization is required, a normalization run should be performed to\n",
        "directly compute the emitted power under the simulation setup."
      ],
      "id": "8d066375-ff4a-4f6f-8b2b-c7216a0128e8"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
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