{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# 2D effective index approximation of 3D simulations\n",
        "\n",
        "Large-scale 3D FDTD simulations are often required for accurate results\n",
        "but are associated with significant time and costs. Therefore, the\n",
        "development of methods to approximate 3D simulations using 2D models\n",
        "presents notable advantages. For instance, during the initial phase of\n",
        "design exploration, employing 2D simulations can effectively narrow down\n",
        "the range of parameters, with 3D simulations subsequently refining and\n",
        "finalizing the design.\n",
        "\n",
        "This notebook introduces an efficient index approximation method that\n",
        "enables the approximation of 3D FDTD simulations through 2D simulations,\n",
        "substantially reducing computational resources and simulation times,\n",
        "potentially by orders of magnitude, while still retaining a reasonable\n",
        "level of accuracy. This method is particularly suitable for modeling\n",
        "integrated photonic devices that support waveguide modes. We first\n",
        "outline the process for calculating the effective permittivity for the\n",
        "2D simulation using the variational method.\n",
        "\n",
        "Following this, we compare the results of 1D approximation of a 2D\n",
        "device, and a 2D approximation of a 3D device to validate the\n",
        "approximation method’s effectiveness. The findings indicate that, when\n",
        "applied appropriately, the approximated simulation maintains an\n",
        "acceptable fidelity to the corresponding full simulation response.\n",
        "\n",
        "<a href=\"https://doi.org/10.1007/s11082-009-9349-3\"><img src=\"img/effective_index_approximation.png\" width=\"500\" alt=\"Schematic of 2D-ifying\" ></a>\n",
        "\n",
        "First we start by importing the necessary libraries for our simulations:"
      ],
      "id": "571ed58b-43ea-4fc9-b64a-af72f98eb177"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import gdstk\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from tidy3d.plugins.dispersion import AdvancedFastFitterParam, FastDispersionFitter"
      ],
      "id": "b933b0fc"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Variational Effective Permittivity\n",
        "\n",
        "In order to match the material of our 2D structures with those of the\n",
        "corresponding 3D structures, we will calculate the <b>variational\n",
        "effective permittivity</b>, taken from\n",
        "`Manfred Hammer and Olena V. Ivanova, \"Effective index approximations of photonic crystal slabs: a 2-to-1-D assessment,\" Opt Quant Electron 41, 267–283 (2009)`[DOI:10.1007/s11082-009-9349-3](https://doi.org/10.1007/s11082-009-9349-3):<br>\n",
        "$$\\epsilon_{eff}(x,y)=n_{eff}(x_r,y_r)^2+\\frac{\\int_z[\\epsilon(x,y,z)-\\epsilon(x_r,y_r,z,\\omega)]|M_r(z,\\omega)|^2dz}{\\int_z|M_r(z,\\omega)|^2dz},$$\n",
        "<br> where $x_r,y_r$ are the coordinates of the reference point,\n",
        "$n_{eff}(x_r,y_r)$ is the effective index of the slab waveguide, given\n",
        "the permittivity profile in the z direction, at the reference point,\n",
        "$\\epsilon$ is the permittivity profile, and $M_{ref}(z,\\omega)$ is the\n",
        "mode profile in $z$ at the reference point. This formula is based on the\n",
        "assumption that the different vertical slab modes remain relatively\n",
        "uncoupled.<br><br>\n",
        "\n",
        "The reference profile in $z$ at point $(x_r,y_r)$ is what we choose to\n",
        "compare other $z$ profiles against. In our examples, we choose this\n",
        "point to include the location of our waveguide.<br><br>\n",
        "\n",
        "Note: This is only the effective permittivity for the TE mode. A\n",
        "separate TM mode formula exists, and the interested user should refer to\n",
        "the TM formula given in the paper. Also, in the paper, the extrusion\n",
        "dimension is x. In our examples, the extrusion dimension is z."
      ],
      "id": "1ede3a6f-9e38-4bd8-8f6b-2aae6b20f2ba"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "import scipy.interpolate\n",
        "from tidy3d.plugins.mode.web import run as run_mode_solver\n",
        "\n",
        "\n",
        "def var_eps_eff(point, ref_point, sim, wavelength=1.55, inf=1000, min_n=1, remote=False):\n",
        "    \"\"\"\n",
        "    To calculate the vertical slab mode at 'ref_point', we will create a 2D slice of the given simulation at\n",
        "    'ref_point' that extends in the yz plane infinitely, ensuring that it captures the entire permittivity\n",
        "    profile. Then, to find the 1D mode profile, we use the Tidy3D ModeSolver on a plane at 'ref_point' that\n",
        "    extends infinitely in the xz plane. This results in the ModeSolver operating on the intersecting line\n",
        "    at 'ref_point' that covers its entire z profile. We then use this to solve for n_eff and M in the above\n",
        "    formula.\n",
        "\n",
        "    The min_n parameter is set to ensure that the calculated refractive index is at least 1. This\n",
        "    calculation can well end up with a value less than 1, as mentioned in the paper. To ensure that the\n",
        "    returned refractive index is physical, we set min_n to 1 by default.\n",
        "\n",
        "    There is also the option to use the remote mode solver if the user desires greater accuracy.\n",
        "    \"\"\"\n",
        "    freq = td.C_0 / wavelength\n",
        "\n",
        "    sim_2d_center = (\n",
        "        ref_point[0],\n",
        "        ref_point[1],\n",
        "        0,\n",
        "    )  # given a 3D sim, we update the center to create our 2D slice\n",
        "    sim_2d_size = (\n",
        "        0,\n",
        "        inf,\n",
        "        inf,\n",
        "    )  # we ensure the 2D span of the simulation in the yz plane captures everything\n",
        "\n",
        "    # now we create the 2D simulation, keeping the structures and updating the boundary conditions\n",
        "    sim_2d = sim.updated_copy(\n",
        "        center=sim_2d_center,\n",
        "        size=sim_2d_size,\n",
        "        sources=[],\n",
        "        monitors=[],\n",
        "        symmetry=(0, 0, 0),\n",
        "        boundary_spec=sim.boundary_spec.updated_copy(x=td.Boundary.periodic()),\n",
        "    )\n",
        "\n",
        "    # Now we solve for the mode at 'ref_point':\n",
        "    # We create the plane in xz that we'll use to examine the mode in z\n",
        "    mode_solver_plane = td.Box(center=sim_2d.center, size=(td.inf, 0, td.inf))\n",
        "    # Now we define the mode solver using this plane. We need only solve for one mode here, hence the ModeSpec\n",
        "    mode_solver = td.plugins.mode.ModeSolver(\n",
        "        simulation=sim_2d, plane=mode_solver_plane, mode_spec=td.ModeSpec(num_modes=1), freqs=[freq]\n",
        "    )\n",
        "\n",
        "    # Note that here the mode solving is done locally. For users desiring more accuracy, the remote mode\n",
        "    # solver should be used.\n",
        "    if remote:\n",
        "        mode_data_ref = run_mode_solver(mode_solver)\n",
        "    else:\n",
        "        mode_data_ref = mode_solver.solve()\n",
        "\n",
        "    # get n_eff from the solver\n",
        "    n_eff = mode_data_ref.n_eff.item()\n",
        "    if point == ref_point:\n",
        "        return n_eff**2  # if point is the reference point, the integral is 0\n",
        "\n",
        "    # get z permittivity profile at 'ref_point'\n",
        "    x, y = ref_point\n",
        "    eps_ref = sim.epsilon(\n",
        "        box=td.Box(center=(x, y, list(sim.center)[2]), size=(0, 0, td.inf)), freq=freq\n",
        "    )\n",
        "\n",
        "    # get z permittivity profile at 'point'\n",
        "    x, y = point\n",
        "    eps = sim.epsilon(\n",
        "        box=td.Box(center=(x, y, list(sim.center)[2]), size=(0, 0, td.inf)), freq=freq\n",
        "    )\n",
        "\n",
        "    eps_dif = np.squeeze(eps.values) - np.squeeze(eps_ref.values)\n",
        "\n",
        "    # get M at the same z coordinates as those of (eps - eps_ref) so we can integrate their product\n",
        "    z_coords = eps_ref.z.values\n",
        "    mode_profile = mode_data_ref.Ex\n",
        "    Mz2 = scipy.interpolate.interp1d(\n",
        "        x=mode_profile.z.values, y=np.abs(np.squeeze(mode_profile.values)) ** 2\n",
        "    )\n",
        "    m_values = Mz2(z_coords)\n",
        "\n",
        "    # calculate integrals\n",
        "    num, denom = (\n",
        "        np.trapezoid(y=eps_dif * m_values, x=z_coords),\n",
        "        np.trapezoid(y=m_values, x=z_coords),\n",
        "    )\n",
        "\n",
        "    if n_eff**2 + num / denom < min_n:\n",
        "        return min_n\n",
        "    return n_eff**2 + num / denom"
      ],
      "id": "5f639fba"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Here we create a function that uses the above function to create the\n",
        "approximated materials used in the 2D simulation. It takes as input the\n",
        "3D simulation, the mode reference point, the point describing the stack\n",
        "that the user would like to approximate, and the simulation spectrum."
      ],
      "id": "ddb6dc1c-13b4-429f-bd1a-5a878e9e0760"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "def approximate_material(\n",
        "    sim_3D, approx_point, ref_point, spectrum, min_n=1, plot=False, **fit_kwargs\n",
        "):\n",
        "    eps = []\n",
        "    for wl in spectrum:  # at every [step]th wavelength, calculate the effective permittivity\n",
        "        eps.append(var_eps_eff(approx_point, ref_point, sim_3D, wavelength=wl, min_n=min_n))\n",
        "\n",
        "    # fit the materials with the FastDispersionFitter using the calculated effective permittivities\n",
        "    e1, e2 = np.real(eps), np.imag(eps)\n",
        "    n = np.sqrt((np.sqrt(e1**2 + e2**2) + e1) / 2)\n",
        "    k = np.sqrt((np.sqrt(e1**2 + e2**2) - e1) / 2)\n",
        "    fitter = FastDispersionFitter(wvl_um=spectrum, n_data=n, k_data=k)\n",
        "\n",
        "    # create the mediums using the material fit\n",
        "    fit_kwargs.setdefault(\"min_num_poles\", 1)\n",
        "    medium, rms_error = fitter.fit(**fit_kwargs)\n",
        "\n",
        "    if plot:\n",
        "        # plot the material fit\n",
        "        fig, ax = plt.subplots(1, 1, figsize=(3, 3))\n",
        "        fitter.plot(medium, ax=ax)\n",
        "        ax.set_title(\"Medium\")\n",
        "        plt.show()\n",
        "\n",
        "    return medium"
      ],
      "id": "fb0dbf81"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Here we create a function that, given a 3D simulation, creates a 2D copy\n",
        "with updated materials given by the user. This, like the previous\n",
        "function, is provided so Tidy3D users can easily 2D-ify their 3D\n",
        "simulations."
      ],
      "id": "e8adfe5a-3c42-4cbe-a59f-02771f10d817"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "def create_2D_sim(sim_3D, new_mediums):\n",
        "    # Redo the structures that were in our 3D simulation with our calculated material approximations\n",
        "    new_structures = []\n",
        "    for structure in sim_3D.structures:\n",
        "        new_structures.append(structure.updated_copy(medium=new_mediums[0]))\n",
        "\n",
        "    # Update the size to 3D\n",
        "    new_size = list(sim_3D.size)\n",
        "    new_size[2] = 0\n",
        "\n",
        "    # Update the symmetry to 2D\n",
        "    new_symmetry = list(sim_3D.symmetry)\n",
        "    if new_symmetry != [0, 0, 0]:\n",
        "        print(\n",
        "            \"Note: removed symmetry, as it is incompatible with the variational approximation method.\"\n",
        "        )\n",
        "    new_symmetry = (0, 0, 0)\n",
        "\n",
        "    # Create the 2D version of our 3D original\n",
        "    sim_2D = sim_3D.updated_copy(\n",
        "        size=new_size,\n",
        "        structures=new_structures,\n",
        "        boundary_spec=sim_3D.boundary_spec.updated_copy(z=td.Boundary.periodic()),\n",
        "        medium=new_mediums[1],\n",
        "        symmetry=new_symmetry,\n",
        "    )\n",
        "\n",
        "    return sim_2D"
      ],
      "id": "42cba5a9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Since the method that calculates the variational effective permittivity\n",
        "creates a 2D simulation from the given 3D simulation, generally there\n",
        "can be some objects (and symmetries) not included in the 2D simulation,\n",
        "which will throw some warnings. Furthermore, since we’re using the local\n",
        "mode solver, Tidy3D will also print a warning that the remote mode\n",
        "solver should be used for greater accuracy. Since we’re okay with this,\n",
        "it will be cleaner to suppress the warnings."
      ],
      "id": "929e62d0-f1a9-44ed-ac0a-5c74b89fbea8"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Suppress warnings for some of the structures not being included in the 2D simulation\n",
        "td.config.logging.level = \"ERROR\""
      ],
      "id": "cd436d85"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The above four code cells are all that is needed to use this\n",
        "approximation for a 3D simulation given by the user.\n",
        "\n",
        "## Example 1: 2D Planar Waveguide Bragg Grating\n",
        "\n",
        "To see this in action, we will apply this to a 2-dimensional waveguide\n",
        "Bragg grating described in the source paper.<br>\n",
        "\n",
        "First we quickly build the 2D simulation:"
      ],
      "id": "efc9477c-1a80-472a-a1f9-b418b6d1b827"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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GvvjiC61cuVJFRUXmpZmqX483Ly/P/P0Jdvmkyqz6nWnVqpW5zcCJ4Gqz3377\nmcs3tGX1mmuu0YgRIzRp0iR9//33KiwsVH5+vjp16qRTTjlFhx56qKSKIBLYZufOnUOur64/74bo\n37+/ebK8U045xTypXLw6++yzdfLJJ+vTTz/V7NmztWHDBrlcLnOfdtxxx8ntdoddT79+/cz/9y5d\nukRtu3atLxyXy6ULL7xQ999/vzZs2KDZs2fr6KOPjui548aN07HHHqtXX31Vf/75pxo1aqQ+ffro\nwgsvVE5OjiRp5syZmjBhgvx+v0477TSdfvrp5vPr+rcZWDaS/WXv3r3Nk/zl5eWFXG7OnDnmyeBG\njRoll8sVdt0AUFcpRqRvWwIAAEc599xzzeumf/bZZzrxxBNjPCLYZd26derUqZO8Xq/OP/98vfLK\nK0GXu+WWW/Tvf/9bkvTqq6/qvPPOi+YwbTFq1Ci98sorSktL04oVK9S+fftYDwmAA9EKDgBAEtqw\nYYPee+89SRUfC4nHVntYp127drrgggskSe+8844KCgpiPKLo2LJli9555x1J0v/93/8RqgHYhmAN\nAEAS+uc//6ny8nJJ0oUXXqjUVA4JnO62225Tenq69uzZE/b68U7x6KOPqrS0VG63W7fffnushwPA\nwXgVBQAgCXz//feaOnWqJk2apHPOOUcvv/yypIqTmF1xxRUxHh2iYe+999Y111wjSXrssce0ZcuW\n2A7IZtu2bTPfQLj66qvVqVOnGI8IgJNx8jIAAJLAbbfdpsmTJ9f4/lVXXRX3Jy2DdW699VYtXbpU\ne/bs0fTp03XuuefGeki2mT59uo444ghlZGTotttui/VwADgcwRoAgCR19NFH6+677471MBBFOTk5\n+vDDD2M9jKgYOXKkRo4cGethADG3dOlS8zJ7rVq1qvUs+nVlGIa2bNmisrIytWrVytIrGiQagjUA\nAEngkEMOkdfrVWpqqpo1a6bjjjtO55xzTtxdcxix1a1bN/NEdm3atInxaAA01Msvv6wLL7zQvP/Y\nY49p3LhxDV5vQUGBbrvtNr399tsqLCyUVHEN+8GDB+vWW2/VkUce2eBtJBoutwUAAAAADrNp0ybt\nv//+2rFjh/k9K4L14sWLNXDgQG3dulWS1KRJE2VlZWnDhg0yDEMul0tPPPGExowZ06DtJBpOXgYA\nAAAADnP55Zdrx44dOuywwyxbZ1FRkU4++WRt3bpVTZo00aeffqpt27Zp3bp1+v3333X44YfL5/Np\n7NixmjNnjmXbTQQEawAAAABwkEmTJunDDz9Uu3btdNddd1m23oceekhr1qyRJL355psaOnSo+Vi3\nbt302WefqWXLlvL5fLruuuss224iIFgDAAAAgENs2bJFV155pSTpiSeeUE5OjmXrfu655yRJffv2\n1fHHH1/j8SZNmmjs2LGSpAULFujnn3+2bNvxjmANAAAAAA4xbtw4bd26VWeccYZOPfVUy9b7448/\nmrPVw4YNC7ncaaedZt7+5JNPLNt+vCNYAwAAAIADfPDBB3r77beVm5urxx57zNJ1//jjj+btPn36\nhFyuZ8+eatSoUY3nOB3BGgAAAAAS3Pbt23XFFVdIku69917LL5m3dOlS83bHjh1DLpeSkqIOHTrU\neI7TcfFKNIjX69XatWslSbm5uUpN5b0aAAAAhOb3+7Vr1y5JUvv27ZWWZn8k8fv92rlzp+3biURh\nYWHY4+b8/Pw6r/fqq6/Wpk2bdMQRR+iyyy5ryBCDqnzZrqZNm9a6bODxys9xOoI1GmTt2rXq3Llz\nrIcBAACABLRixQp16tTJ9u3s3LlTTZo0sX07VjEMo07LT548Wa+99prcbreeeeYZWya7iouLzduZ\nmZm1LpuVlSWp4vJcyYJgDUvcdNNNcrlcsR6GpIodkdfrNd8Jdblccrvd5uMej0c+n6/KcyJZJlFR\nP/VTP/UHUD/1U39y15+dna20tDSlpKRIklJTU83bUsUxlN/vj9oY//Of/0RtW062c+dOjRkzRpJ0\n/fXXq2fPnrZsp/Kxfrjfk8DfUTS6EeJF8lQKW+Tm5kqq+ENLT0+vsnOOBcMwlJqaKpfLpVatWlV8\n01skr89Qufev5dLTpDRXxVi9ylR5eflfj6WnO24n4PV6Q9ZY22NOQf3UT/3UH0D91J9w9XvDzPil\nhb6UUvUapdrDczSP4wLBK3AsmWxWrFihvLw8S9Z17bXXav369erSpYtuu+02S9YZTOXLdpWWlpqz\n0sGUlJTUeI7TxeHeA4mkcptJSkqKeQbAWCkrK5PL5VJmZqZatmxZ8c3i1RX/7PGrsPivd6FzG1W8\n61a4J9VsZ8nLy1N2dnZ0Bx0lxcXFKiwsNO8HXsgKCwupn/olUT/1Uz/1U39c+t9xTEjZrWt/eqX6\ny8rKJFUcv1UO1263W+np6Q0aZl34/X6zRThZz8+Tl5dXr89RV7dhwwa98MILkqS///3vWrVqVY1l\nApfIkqSCggL9/vvvkipOQBaupbsyc9JK0saNG2ttrd+4caMk/XU8ngQI1kga2ZkVO+5AuDZD9v+6\nWuL6RdUCgdoCL66VDzIk6qd+6qd+6ncq6qd+6a+6/X5/lc/vRjtUx4tYdFnW9XPTkajckTBu3Liw\ny99zzz265557JEnz5s1T3759I95W9+7dzdt//PGHevToEXS50tJSbdiwQZK0//77R7z+REewRlKp\nHq4DnP6iGlD9xTWA+qmf+qnf6aif+iXqLygoqPL9ZA3VTuJ2u7XvvvvWukxpaak5a92yZUuzBb22\nVu5g+vbtq5SUFBmGoTlz5ui0004Luty3334rr7fiM5hHHHFEnbaRyAjWAAAAAJCA2rZta7Z2hzJn\nzhwdddRRkqRbbrklopntUNvq06eP5s+fr0mTJum+++4Lel6C1157TVJFm/+pp55ar20louT8UAOS\nVvXPWQcUFhZWuYSAU1X/nFkA9VM/9VO/01E/9VN/YY3vezyeGic3SwYpKSkx+4pnW7Zs0e+//67f\nf/9dpaWlQZe5/vrrJUnr16/Xv//97xqPf/vtt3rllVckSRdccEFSfcaaYI2kUT1U52W7lJf912UD\nnP7iWv1FNS8vr8rZKKmf+qmf+p2K+qmf+gvN+6mpqVVOGJas4Ro13X///erevbu6d++u7777Lugy\nw4cP18knnyxJuuOOOzR69Gh9/fXXWrRokR588EEdf/zx8nq9atOmTdDg7WS0giMpBAvVgc9bKzOv\nxglNnPZ5q2AHFZVrpP7CKv9SP/U7CfVTP/UXmveTvf709HT5fD75fD65XC55PB5JMv/l89aIxKRJ\nk3TOOefok08+0XPPPafnnnuuyuNdunTR+++/rzZt2sRohLFBsIbj1RqqFfpsoU55cQ13UEH91C9R\nP/UXVvmX+qnfCai/Zv1FRUXm9aMDIToZw3Us27LtODN4OI0aNTJPcFbbJb5atGhhLlfbJXSzs7P1\n8ccfa8qUKZo0aZKWLVumsrIytW/fXieeeKLOP/98x/wd1QXBGo5WXFxca6gOcOqLa7iDigDqp36J\n+qm/sMq/1E/9iYz6g9cfuHZ0QDKH62Ry8MEHhz3BmSTdeOONuvHGGyNe74knnqgTTzyxIUNzFD5j\nDceq8aISIlQHZGdnO+ozV5EeVARQP/VTf555n/qpn/qpP1HVtf709HS53W7zPp+5BuqHGWs4ksfj\nqVOoDnDKO9d1fVENoH7ql6if+gur/Ev91J9IqL9+9SfbzHUinKEbiYcZaziO1+ut8k5rpKE6INHf\nua7vi2oA9VM/9eeZ96mf+qmf+hNFQ+tn5hpoGII1HMXv98vv95v38/Ly6hSqAxL1xbWhL6oB1E/9\n1J9n3qd+6qd+6o93VtVPuAbqj1ZwOEZ5ebn8fr/Z2mO+qBRvrdf6Eq0tzKoX1QDqp36J+qm/sMq/\n1E/98Yj6ra0/GdrCaQWHHQjWcITy8nJzxy9V7PyteAFMlBdXq19UA6if+iXqp/7CKv9SP/XHk6Sv\nf49fhXsKzftW1Z8M4RqwGq3gSHjVQ3VqamqVNqaGive2MLsOKgKon/qpP8+8T/3UT/3UHy+K9/ir\nXlLU4vppCwfqhhlrJLRgoTotzfpf63h959rug4oA6qd+ifqpv7DKv9RP/bGU9PXbHKoDnDpzTSs4\n7ECwRsKqHqrdbrcMw7Bte/H24hqtg4oA6qd+ifqpv7DKv9RP/bGQ9PVHKVQHODVcA1ajFRwJKVio\njsYOPl7awqJ9UBFA/dRP/Xnmfeqnfuqn/mirEaqzXVGpn7ZwIDxmrGGJ1NTovUcTq1AdEOt3rmN1\nUBFA/dQvUT/1F1b5l/qpPxqSvv5goboelxStLyfNXNMKDjswYw1LpKSk2NqGHRDrUB0Qq3euY31Q\nEUD91E/9eeZ96qd+6qd+u8U6VAcwcw2ERrCGpezcucZLqA6I9otrvBxUBFA/9VN/nnmf+qmf+qnf\nLvESqgMI10BwtILDUna1BcVbqA6IVltYvB1UBFA/9UvUT/2FVf6lfuq3EvUXx1WoDkj0tnBawWGH\n2P9lwhEqt4Fb/c5lvIbqALvfuY7Xg4oA6qd+6s8z71M/9VM/9VulRv1xEqoDmLkGqoqfv04kNL/f\nX+W+VTvXeA/VAXa9uMb7QUUA9VM/9eeZ96mf+qmf+hsq3kN1AOEa+Aut4LBMSkqK0tLSLGsLSpRQ\nHWB1W1iiHFQEUD/1S9RP/YVV/qV+6q8P6k+MUB2QiG3htILDDvH7V4qEZNU7l4kWqgOseuc60Q4q\nAqif+qk/z7xP/dRP/dRfV0Hrj+NQHcDMNUCwhg0aunNN1FAd0NAX10Q9qAigfuqn/jzzPvVTP/VT\nf6QSvX7CNZIdreCwRX3bghI9VAfUty0s0V9UA6if+iXqp/7CKv9SP/XXhvqdUX+itIXTCg47MGMN\n29T1nUunhOqAur5z7ZQX1QDqp37qzzPvUz/1Uz/1h+K0+pm5RrIiWMNWke5cnRaqAyJ9cXXai2oA\n9VM/9eeZ96mf+qmf+qtzav2EayQjWsFhu3BtQU4N1QHh2sKc+qIaQP3UL1E/9RdW+Zf6qV+ifqfX\nH+74L5at2LSCww4Ea0RFqJ1r9dtOC9UBoV5cq9922otqAPVTv0T91F9Y5d/qt6mf+qnfefWHOv4z\nDINgC8chWCNqagvXknNDdUBtL66Sc19UA6if+iXqp/7CKv8GUD/1U79z6w93/Ac4BcEaUVV95xrg\n9FAdUP3FNcDpL6oB1E/9EvVTf2GV71M/9VO/8+sPdfwXK7SCww6cvAwAAAAAgAYgWCOqqp+oLCBZ\nzhZZ/UQlAYVhLsXhFNRP/dRfWOP71E/91E/9Thfq+A9wElrBETXBzv4thT5bpNMEO/unFPpsoU5D\n/dRP/YXmferPk0T91F9Y5V/qd2b9wY7/DMOIadCmFRx2IFgjKsJdUsvp4TrcJTWc/uJK/dRP/YXm\nfeqnfuqn/gCn1x/q+M/v9ydFpyKSC63gsF24UJ2enm7OXkvOawsP96KanZ1tvnstOa8tjPqpn/oL\nzfvUT/3UT/0BTq8/3PGfYRixGBZgG2asYatwO9WAUJdiSPSZ63AvqgGhLsWR6O9cUz/1U3+heZ/6\nqZ/6qb86p9Yf6fFfrNAKDjswYw3b1HWn6rSZ60hfVAOc9s419VM/9Rea96mf+qmf+kNxWv3xHqoB\nuxCsYYv67lSdEq7r+qIa4JQXV+qnfuovNO9TP/VTP/WH45T6CdVIZrSCw3IN3akmelt4fV9UAxK9\nLYz6qZ/6C8371E/91E/9kQpZv1UDtFkihWpawWEHZqxhKat2qok6c93QF9WARH3nmvqpn/oLzfvU\nT/3UT/11FbT+PX4LRmivRArVgF0I1rBM9WsSNnSnmmjh2qoX1YBEO7igfuqn/kLzPvVTP/VTf33V\nqL/YF9fhmlANVKAVHJZITa36Ho1VO9VEaQu3+kU1IFHa4qif+qm/0LxP/dRP/dTfUDXqL/ZVfD8z\nvubEEjlUx6IVnEuMORvBGpaovHOyeqca7+HarhfVgHg/uKB+6qf+QvM+9VM/9VO/Vcz6t5VW/Btn\n4TqRQzVgh/j4y4Rj2LVTjde2cLtfVAPitS2O+qmf+gvN+9RP/dRP/VbLzs5WXrbLvB8vbeGEaqAm\nZqxhKTt3qvE2cx2tF9WAeHvnnvqpn/oLzfvUT/3UT/12CcxQB2asYz1z7YRQHauzgnMmcmdjxhqW\nMAwjKjuLeJm5jvaLakC8vHNP/dRP/YXmfeqnfuqnfrtlZ6bGxcy1E0I1YBeCNSzh90dv5x7rcB2r\nF9WAWB9cUD/1U3+heZ/6qZ/6qT9aYh2uCdVA7WgFR0IK1RZut1i/qAbEqi2O+qmf+gvN+9RP/dRP\n/dEWtC08s9j2sTgtVNMKDjswY42EFWzm2s6Z83h5UQ2I9jv31E/91F9o3qd+6qd+6o+VGjPXNtfv\ntFAN2IVgjYRWPVz7/X55vV7LtxNvL6oB0Tq4oH7qp/5C8z71Uz/1U3+sRStcE6qByNEKjoRXvS3c\n7/db2hoery+qAXa3xVE/9VN/oXmf+qmf+qk/Xpht4Xsq7ltdP6EaqBuCNRyherguLy9XcXHDP3MU\n7y+qAXYdXFA/9VN/oXmf+qmf+qk/3mRnpkqZeZbX7/RQzWesYQeCdRjLly/XggULtGDBAm3cuFGS\nNHDgQF166aWWb2vBggWaPHmy1q1bp4yMDHXt2lXDhw9X+/bto7qORJWeni6fzyfDMCRVenGp5/oS\n5UU1wOqDC+qnfuovNO9TP/VTP/XHK6vrd3qoBuxCsA7hmmuu0WuvvaZt27bVeCwnJ8fSYL1582Zd\neOGFmjJlSo3HbrjhBv3zn//UHXfcodTU0B+Jt2IdTpCammoGa+l/Ly6ZfrNdKlKJ9qIaYNWLK/VT\nP/UXmvepn/qpn/rjnVX1E6qB+iNYh7Bo0SJt27ZNnTp1Up8+fXTwwQfrpptusnw7xcXFOvHEE/X9\n998rNTVV5557ro455hgVFxfrjTfe0IIFC3T33XeruLhYEyZMsG0dTpKWliaXq+p1HiVFHK4T9UU1\noKEvrtRP/dRfaN6nfuqnfupPFA2tP5lCNa3gsAPBOoRHHnlEe++9t5o1ayZJ2rNnjy3B+t///re+\n//57SdLLL7+s8847z3xs3LhxOv/88/Xmm29q4sSJGj58uI444ghb1uE0brdbOTk5f724RBiuE/1F\nNaC+L67UT/3UX2jep37qp37qTzT1rT+ZQjVgF2f3BTfAIYccYoZqu+zevVuPPPKIJOnkk0+uEogl\nyeVy6b///a9yc3MlSXfffbct63Cq7Oxql+Io9ql4T+jrXDvlRTWgRv2FtV+Kg/qpn/oLzfvUT/3U\nT/2Jqq71E6oBaxCsY2jy5MkqKSmRJI0ePTroMrm5uTr77LMlSTNmzKiy47dqHU6WnZ1d9TqPIcK1\n015UAyJ9caV+6qf+QvM+9VM/9VN/oou0/mQN1YFW8Fh8wbkI1jH09ddfS6r44z766KNDLjdgwABJ\nFZeS+uabbyxfh9NlZ6bWGq6d+qIaEO7Flfqpn/oLzfvUT/3UT/1OEaz+yiE6WUM1YBc+Yx1Dv/zy\niySpdevWVXZ81e23337m7V9//VUnnXSSpetIBoHPVgc+ax34V5IK9xSat532ohoQ6jNX1W9TP/VT\nP/U7DfVTv0T9gVrLy8tlGIYMw5Df/9ckA6EaaDiCdQytW7dOktSuXbtal6v8+Nq1ay1fRzg7duwI\n+VgitZWHDNf/m8x26otqQG0HFxL1Uz/1Uz/1OxX1U7/0V91+v7/KpUmTMVRzVnDYgWAdQ7t375YU\n/kyNlR8vKiqyfB3hNGnSJKLlDMNQWVlZndZtNZ/PZ75gFBQUVHzT66m6kCGVeSt9ztpbpoyMDBUV\nFdX5Z5Ooqv8/UT/1Uz/1Uz/1J4OErL/6cUx1RQURr8rn81UJ1ampqTE5fjMMg5AJxyFYx1B5ebmk\nincKa1P5XcTqOz4r1mEFwzCUmppa5frRseD3+81xZGVlVXyzrOrJOrwuQ2lplU4vkJYtt9uttLTk\n+HPwer01aqV+6qd+6k8G1E/9CVl/WegzekuSMrIiWo3X65XH45HH4zGDbayO3fx+f5VWdMAJ4nxP\n4myNGjXSzp07tWfPnlqXKy0tNW9Xn5m2Yh3hbN++PeRjhYWF6ty5s7xer1wulzIzM+u0bqsZhiGX\ny6WcnJy/2t937qr9SY272j8wAACA+gh7HFP7xwErW716tXbu3CmPx2MG6rS0tKi/ueD3+82uy1ig\nFRx2IFjHUOPGjbVx48awn1PeuXOneTtwPWor1xFOfn5+2GV27dqlVq1aqWXLlnVat9UKCgqUlZWl\ndu3aaejQoRXf/HN97U/aZ6j9AwMAAKgPC49jJk+erFWrVlWZcJGknJycqH7OvLy8XGvWrIna9oBo\n4HJbMdSlSxdJCrtjqfz4PvvsY/k6AAAAkBwCM9SRXOcaQOQI1jF0wAEHSKrYma1atSrkct9//32N\n51i5DgAAACSXcNf5drJAK3gsvuBcBOsYOvHEE83bU6ZMCbnc1KlTJVWcnbtPnz6WrwMAAADJJ5nD\nNWA1gnUM9e/fX506dZIkPfroo+YZvitbvHixpk2bJkk655xzapxcwop1AAAAIDkRrgFrEKxtdN11\n12nkyJG6+OKLgz6empqq//znP5Kk33//XRdffHGVs3uvXLlSZ599tvx+v3JycvSvf/3LlnUAAAAg\neSVbuKYVHHZg6jKEmTNn6umnnzbvV77W3syZMzVy5EjzfmZmpl566aUa65g8ebKWLl2qxo0b6/nn\nnw+6nZEjR2ru3Ll6/PHH9dprr2nq1Knq27eviouLNWfOHHk8HqWlpWnSpElq3bq1betwEq/XG+sh\nAAAAJJTAWcEDV5oJ/BvNs4UDiYxgHcLy5cv11ltvBX1sxYoVWrFihXk/Ozs7aLCO1GOPPaaePXvq\n7rvv1vr16/Xpp5+ajx122GF67LHHdPjhh9u+DicgVAMAANQP4RqoP4J1CAMHDtSbb74Z0bJutzvo\n9ydOnKhdu3YpPT097DrGjBmj0aNH66efftLatWuVkZGhbt26mZ+fjoQV60hkxcXFKisr4zPkAAAA\n9ZQM4TpWbdm0gjsbCSSEzp07q3Pnzg1ax0knnVSn5VNTU9W7d2/17t273tu0Yh2JqLi42NzxAwAA\noP6SIVwDVuPkZUh41UN1qA4CAAAARCbZTmgGNBQz1kho1UN1RkYGreAAAAAWcOrMNa3gsAMz1khY\n1UN1Xl4eoRoAAMBCzFwDkSFYIyEFC9WJ/u4pAABAPCJcA+ExvQdLuFyuqG2LUA0AABBdTmoLpxUc\ndmDGGpZwu91RuYY0oRoAACA2mLkGQiNYwzLl5eW27lwJ1QAAALFFuAaCoxUclrKrLYhQDQAAEB8S\nvS2cVnDYgRlrWMLj8Zi3rX7nklANAAAQX5i5BqoiWMMSPp9P6enp5n2rdq6EagAAgPhEuAb+Qis4\nLJOWlqbc3FzL2oII1QAAAPEtEdvCaQWHHZixhqWseueSUA0AAJAYmLkGCNawQUN3roRqAACAxEK4\nRrKjFRy2qG9bEKEaAAAgMSVSWzht2bAaM9awTV3fuSRUAwAAJDZmrpGsCNawVaQ7V0I1AACAMxCu\nkYxoBYftwrUFEaoBAACcJdzxn9vtjsWwJHFWcNiDYI2oCLVzrX6bUA0AAOAMoY7/vF6vMjIyYjQq\nwB4Ea0RNbeFaIlQDAAA4TbDjP7/fH8MRAfYgWCOqqu9cAwjVAAAAzhTq+C9WaAWHHTh5GQAAAAAA\nDUCwRlRVP1FZAGeLBAAAcKZQx3+Ak9AKjqgJdvZvKfTZIgEAAJDYgh3/eb1e7dq1K2ZjohUcdiBY\nIyrCXVKLcA0AAOAsoY7/ysvLVVZWFruBATagFRy2Cxeqs7OzzdlribZwAACARBfu+M/j8cRgVIB9\nmLGGrcLtVANCXYqLmWsAAIDEEunxX6zQCg47MGMN29R1p8rMNQAAQGKL91AN2IVgDVvUd6dKuAYA\nAEhMhGokM1rBYbmG7lRpCwcAAEgsiRSqaQWHHZixhqWs2qkycw0AAJAYEilUA3YhWMMyXq/X0p0q\n4RoAACC+EaqBCrSCwxIul0vl5eXKzMyUZN1OlbZwAACA+JSooZpWcNiBGWtYwu12m7et3qkycw0A\nABBfEjVUA3YhWMNSdu1UCdcAAADxgVAN1EQrOCyTnp5u606VtnAAAIDYckKophUcdmDGGpbweDxK\nS7P/fRpmrgEAAGLDCaEasAvBGpbw+XxR2xbhGgAAILoI1UDtaAVHQgrVFg4AAABrOS1U0woOOxCs\nkbAI1wAAAPZyWqh2Oo/Hoz/++EMbNmzQ5s2blZWVpY4dO6pnz55VruJTX999950WL14cdrn09HSd\ne+65Dd5eIiFYI6FVD9dlZWXKysqK4YgAAACcgVCdOF5++WW99dZb+vrrr4N+RDIvL08XXXSRbr/9\ndjVu3Lje23nnnXd0//33h12ucePGBGsg0VQP1x6PJ4ajAQAASHxODtVObAV/6qmnNH/+fGVlZemA\nAw5Qu3btlJubqw0bNuiHH35QYWGhHnroIU2ePFlfffWVWrVq1aDtZWRkaOTIkSEfb9SoUYPWn4gI\n1nCEwI6+oKAgxiMBAABIbE4O1U518cUXa8KECerTp0+Nlu/CwkLdcccdeuSRR7Rs2TJdc801mjRp\nUoO2l5OTo5deeqlB63AagjUcIzs7WxkZGbEeBgAAQMIiVCem0aNHh3wsLy9PDz/8sL799lvNnz9f\nH3zwgcrLy5Wenh7FETofl9uCo6SlpVlyYgYAAIBkkyyhOtAKHouvWDriiCMkSeXl5Zz01wYEazhO\nWhqNGAAAAHWRLKE6mW3YsEGStNdee6lFixYxHo3zkEAAAACAJEaodr6vvvpKH3zwgSRp3Lhxlqzz\njz/+0C+//KKSkhI1adJEvXr1UuvWrS1ZdyIiWAMAAABJKhlDdTycFTxcK3Z+fn69t/PKK6/I7/fL\n6/Vq48aN+uabbzRt2jQZhqELL7xQt99+e73XHbBt2zZ169atxvcPO+ww3XbbbTr55JMbvI1EQ7AG\nAAAAklAyhup40blz51ofNwyj3uv+29/+Jp/PV+V7LVq00CuvvKIhQ4bUe72VNWvWTPvss486dOgg\nj8ejn3/+WcuXL9fChQt1yimn6Oabb9a9995rybYSBcEaAAAASDKEaucaNWqUfD6fvF6vNm3apPnz\n52vz5s0aOnSoxo4dq4kTJ8rlctVr3QMHDtTpp5+uPn361Jj1/+KLL/S3v/1Na9as0X333af9999f\n559/vhUlJQSCNQAAAJAkvF6vvF4voTrGVqxYoby8PFvW/fzzz1e5X1RUpNtvv10TJ07Uo48+qm3b\ntum1116r17qPP/74kI8NGjRIM2fOVK9evVRUVKRbbrlF5513XszPhh4tnBUcAAAASBIej0dlZWXm\n/WQM1fFwua28vDzl5+eH/LJSTk6OJkyYoFGjRkmSXn/9dS1atMjSbQR07txZl1xyiSRpzZo1+vnn\nn23ZTjwiWAMAAABJKBlDdTK77LLLzNuff/65bdsJXC9bkpYvX27bduINwRoAAAAAHK5Dhw7m7a1b\nt9q2nfT0dPO2x+OxbTvxhs9YAwAAAEko8DnrZJu1jofLbcVCQUGBebtp06a2befXX381b7dp08a2\n7cQbZqwBAACAJOF2u5WRkWHeLywsVHFxcQxHhGiZNGmSebtfv362bKO0tFTPPfecpIrPdvfp08eW\n7cQjZqwBAACAJJGWlqa0tDTl5OSYM9bJOnPtFGvWrJHL5VLbtm1DLvPiiy9q4sSJkqRevXrp6KOP\nrrHMokWLtGTJEknSSSedpBYtWlR5fO3atUpJSVG7du2CbqOwsFDnnnuuVq5cKUm68sorq7yJ43QE\nawAAACDJBEJ0MoZrp7WCf/nll/rb3/6mQw89VIcddphatWqlFi1ayO/3a9WqVZoyZYoWL14sSWre\nvLneeOMNpabWbFyeNGmSJkyYIEmaPXt2jWD91Vdf6fzzz1fv3r3Vt29ftWrVSi1btlR5ebl+/vln\nvfvuu+bv0YABA3T77bfbUm+8IlgDAAAASSiZw7WT7L333urYsaMWLlyohQsXBl3G5XLptNNO00MP\nPaT27dvXazsdOnRQp06d9MMPP+iHH34Iusxee+2lK6+8UrfffnuVk5glA4I1AAAAkKQI14nv2GOP\n1YoVK/THH39ozpw5Wrt2rTZt2iTDMJSfn6+ePXvq2GOPVevWrWtdz2GHHWZe67ply5Y1Hj/66KO1\nYsUKLV26VHPmzNG6deu0adMmpaSkqHnz5jr44IM1cOBA7bXXXrbUGe8I1gAAAEASS8ZwHeszdNuh\na9eu6tq1a72fP2LECI0YMSLscvvuu6/23Xffem/HqTgrOBzH6/XGeggAAAAJJTs7W3l5eeZ9zhYO\n1A0z1nAUQjUAAED9JOPMNWAVgjUco7i4WGVlZUpL49caAACgPpIhXDvtrOCID7SCwxGKi4vNHT8A\nAADqj7ZwoO4I1kh41UO12+2O3WAAAAAcgHAN1A09s0ho1UN1RkYGreAAAAAWcGpbOK3gsAMz1khY\n1UN1Xl4eoRoAAMBCzFwDkSFYIyEFC9WJ/u4pAABAPCJcA+ExvQdLuFyuqG2LUA0AABBdTmoLpxUc\ndmDGGpZwu91RuYY0oRoAACA2mLkGQiNYwzLl5eW27lwJ1QAAALFFuAaCoxUclrKrLYhQDQAAEB8S\nvS2cVnDYgRlrWMLj8Zi3rX7nklANAAAQX5i5BqoiWMMSPp9P6enp5n2rdq6EagAAgPhEuAb+Qis4\nLJOWlqbc3FzL2oII1QAAAPEtEdvCaQWHHZixhqWseueSUA0AAJAYmLkGCNawQUN3roRqAACAxEK4\nRrKjFRy2qG9bEKEaAAAgMSVKWzit4LADM9awTV3fuSRUAwAAJDZmrpGsCNawVaQ7V0I1AACAMxCu\nkYxoBYftwrUFEaoBAACcJdzxn9vtjsWwJNEKDnsQrBEVoXau1W8TqgEAAJwh1PGf1+tVRkZGjEYF\n2INgjaipLVxLhGoAAACnCXb85/f7YzgiwB4Ea0RV9Z1rAKEaAADAmUId/8UKreCwAycvAwAAAACg\nAQjWiKrqJyoL4GyRAAAAzhTq+A9wElrBETXBzv4thT5bJAAAABJbsOM/r9erXbt2xWxMtILDDgRr\nREW4S2oRrgEAAJwl1PFfeXm5ysrKYjcwwAa0gsN24UJ1dna2OXst0RYOAACQ6MId/3k8nhiMCrAP\nM9awVbidakCoS3Excw0AAJBYIj3+ixVawWEHZqxhm7ruVJm5BgAASGzxHqoBuxCsYYv67lQJ1wAA\nAImJUI1kRis4LNfQnSpt4QAAAIklkUI1reCwAzPWsJRVO1VmrgEAABJDIoVqwC4Ea1jG6/VaulMl\nXAMAAMQ3QjVQgVZwWMLlcqm8vFyZmZmSrNup0hYOAAAQnxI1VNMKDjswYw1LuN1u87bVO1VmrgEA\nAOJLooZqwC4Ea1jKrp0q4RoAACA+EKqBmmgFh2XS09Nt3anSFg4AABBbTgjVtILDDsxYwxIej0dp\nafa/T8PMNQAAQGw4IVQDdiFYwxI+ny9q2yJcAwAARBehGqgdreBISKHawgEAAGAtp4VqWsFhB4I1\nEhbhGgAAwF5OC9WAXWgFR0Kr3hZeVlYmr9cbuwEBAAA4BKEaiBwz1kh41WeuPR5PDEcDAACQ+Jwe\nqmnLhtWYsYYjVJ+5BgAAQP04PVQDdiBYwzGys7OVkZER62EAAAAkLEI1UD+0gsNR0tLS5Ha7Yz0M\nAACAhJMsoZqzgsMOzFjDcdLSeL8IAACgLpIlVAN2IVgDAAAASYxQDTQcU3sAAABAkkrGUE0rOOzA\njDUAAACQhJIxVAN2IVgDAAAASYZQDViLVnAAAAAgSXi9Xnm93qQO1bSCww7MWAMAAABJwuPxqKys\nzLyfbKEasAsz1nWwe/dupaenKyMjw7J1btu2TR6PJ+xyWVlZaty4ccTrtWOsAAAAcA5CNWAdZqzD\nWLx4sc4991w1btxYubm5yszM1N57762bbrpJO3fubPD6jznmGLVu3Trs19ixY2M+VgAAACDRBVrB\nY/EF52LGuhZvvPGGLrroIpWXl0uScnJyVFZWpjVr1mj8+PF688039eWXX2qfffZp8LYyMzNrnZHO\ny8uLm7ECAAAg8QU+Z82sNdBwzFiHsHDhQjOoHnDAAVq0aJF2796tkpISvfrqq8rJydHatWt10kkn\nac+ePQ3e3ogRI7Rp06aQX48//njcjBUAAACJye12V/moYGFhoYqLi2M4IsAZCNYhXH/99SovL1eT\nJk00ffp0HXLIIZKktLQ0nXfeeXrllVckSX/88Ycee+yxWA41ocYKAACA2ElLS1NaWlqVbshkC9e0\ngsMOBOsgfv31V3399deSpLFjx6ply5Y1ljn99NN10EEHSZKefvrpaA6vikQaKwAAAOJDdnZ2Uodr\nwGoE6yA+/vhj8/aZZ54ZcrnAY8uXL9cvv/xi+7iCSaSxAgAAIH4QrgHrEKyD+P777yVVXOLqgAMO\nCLlcnz59ajynoXbt2qXdu3dHvHwsxwoAAIDERrgGrEGwDmLp0qWSpL333lupqaF/RJ06darxnPr6\n7LPP1KRJE/NSWdnZ2Ro4cKBefPHFWq9zHYuxAgAAwDmSLVzzGWvYgcttBbF9+3ZJUrNmzWpdrvLj\ngefU15YtW5SSkqL8/HwVFRWppKREM2fO1MyZM/XEE0/ogw8+UPv27WMy1h07doR8LHCZhnji9Xpj\nPQQAAICEErjkVuDYjktxAXXDjHUQgXfoMjMza10uKyvLvF1UVFSvbfXt21dPP/20li5dqtLSUm3f\nvl0lJSWaPXu2TjjhBEnSd999pxNOOEElJSUxGWuTJk1CfnXu3LlO67Kb1+utdYYfAAAAwSXbzDVg\nJYJ1EIE2DcMwal2u8uO1tWHX5rnnntOll16qbt26mdcUTEtLU//+/TVlyhSNGTNGUsXZv4NdKiua\nY413xcXFKisri/UwAAAAElYyhGtawWEHZyasBsrJyZEklZaW1rpc5RnkwHOsNmHCBDVt2lSS9MYb\nb9R4PBpj3b59e8ivFStW1GlddikuLo7LtnQAAIBEkwzhGrAawTqIFi1aSJI2bdpU63KVHw88x2rZ\n2dk65phjJElLliyR3++v8ng0xpqfnx/yq/JON1aqh2q32x27wQAAADgA4RqoG4J1EN27d5ckrV27\nttbW4uXLl9d4jh0CM9Z+v7/G56PjbazRVj1UZ2RkKC2Nc/IBAAA0lFPDNa3gsAPBOojDDz9ckuTx\neLRw4cKQy82dO9e8Xfk60VZbt26dpIqZ2Nzc3CqPxdtYo6l6qM7LyyNUAwAAWMip4RqwGsE6iNNO\nO818RynY55qlitnjt956S5J08MEHa++997ZlLAUFBfrqq68kBQ/E8TTWaAoWqrkcBAAAgPUI10B4\nBOsg2rZtq7PPPluS9Pzzz+vnn3+usczEiRO1evVqSdK1114bdD1bt27Vpk2btHnz5qCP+3y+WsdR\nUlKiCy64wDzx2MUXX2zbWBvK5XLZst5gCNUAAADR5aRwTSs47EDfbAj33XefZsyYoW3btmnQoEG6\n7777NGDAABUXF+vVV1/VhAkTJEnHHnuszj333KDr6N+/v5YuXarGjRsHPWP1hRdeqA0bNuiUU05R\n9+7d1apVKzVt2lTbt2/XnDlz9PDDD+uPP/6QJJ1wwgkaNWqUbWNtKLfbLa/Xa8u6KyNUAwAAxEbg\nmCtwLBb4l2MxgGAdUseOHfXpp5/qzDPP1IYNG3TJJZfUWOaYY47R+++/X+93nwzD0Jdffqkvv/yy\n1uUuvvhiPfrooyGvPx2NsUaivLxcxcXFtu1cCdUAAACxRbgGgiNY16Jv375asmSJnnnmGX322Wda\nu3atMjIy1K1bN40YMUIjR44MGXYlqXnz5iosLFTjxo2DPv7yyy/rsssu09SpU/XDDz9o48aN2rp1\nq7KystSuXTv17dtX5513XkRn8W7oWK1i186VUA0AABAfEj1cx6otm1ZwZyNYh5Gfn6+bbrpJN910\nU52fO3v27Fofd7lc6t+/v/r371/f4VXRkLE2lMfjMW9bvXMlVAMAAMSXRA/XgNU4eRks4fP5lJ6e\nbt636oQWhGoAAID45KQTmgENxYw1LJOWlqbc3FzL3rkkVAMAAMS3RJy5phUcdmDGGpay6p1LQjUA\nAEBiYOYaIFjDBg3duRKqAQAAEgvhGsmOVnDYor5tQYRqAACAxJQobeG0gsMOzFjDNnV955JQDQAA\nkNiYuUayIljDVpHuXAnVAAAAzkC4RjKiFRy2C9cWRKgGAABwlnDHf263OxbDkkQrOOxBsEZUhNq5\nVr9NqAYAAHCGUMd/Xq9XGRkZMRoVYA+CNaKmtnAtEaoBAACcJtjxn9/vj+GIAHsQrBFV1XeuAYRq\nAAAAZwp1/BcrtILDDpy8DAAAAACABiBYI6qqn6gsgLNFAgAAOFOo4z/ASWgFR9QEO/u3FPpskQAA\nAEhswY7/vF6vdu3aFbtBibZsWI9gjagId0ktwjUAAICzhDr+Ky8vV1lZWewGBtiAVnDYLlyozs7O\nNmevJdrCAQAAEl244z+PxxODUQH2YcYatgq3Uw0IdSkuZq4BAAASS6THf7HCWcFhB2asYZu67lSZ\nuQYAAEhs8R6qAbsQrGGL+u5UCdcAAACJiVCNZEYrOCzX0J0qbeEAAACJJZFCNa3gsAMz1rCUVTtV\nZq4BAAASQyKFasAuBGtYxuv1WrpTJVwDAADEN0I1UIFWcFjC5XKpvLxcmZmZkqzbqdIWDgAAEJ8S\nNVTTCg47MGMNS7jdbvO21TtVZq4BAADiS6KGasAuBGtYyq6dKuEaAAAgPhCqgZpoBYdl0tPTbd2p\n0hYOAAAQW04I1bSCww7MWMMSHo9HaWn2v0/DzDUAAEBsOCFUA3YhWMMSPp8vatsiXAMAAEQXoRqo\nHa3gSEih2sIBAABgLaeFalrBYQeCNRIW4RoAAMBeTgvVgF1oBUdCq94WXlZWJq/XG7sBAQAAOASh\nGogcM9ZIeNVnrj0eTwxHAwAAkPicHKqd2gpuGIZ+/PFH/fDDD9qwYYM2b96srKwsdezYUf3799cB\nBxxg6fa2b9+ujz/+WMuWLVNZWZnatWunk046Sfvuu6+l20kUBGs4QmBHX1BQEOORAAAAJDYnh2qn\nuuGGG/Tiiy9q27ZtIZc54ogj9N///lcHHnhgg7c3ceJE/etf/9KePXuqfP/aa6/VyJEj9dRTT1Xp\nKk0GBGs4RnZ2tjIyMmI9DAAAgIRFqE5Ms2fPVlFRkfr166f9999f7dq1U25urjZs2KAvv/xS3333\nnebNm6f+/fvrq6++Uu/eveu9rTvvvFN33HGHJGn//ffXiBEj1KhRI82aNUuTJ0/WpEmTtG7dOs2Y\nMSOpjs0J1nCUtLQ0ud3uWA8DAAAg4SRLqHZiK/hDDz2kAw88MOT/16RJk3Tuuedq9+7duvrqq/X1\n11/Xazvff/+97rzzTknSsGHD9M4775jH3tdff72eeOIJjRs3TnPmzNEDDzygW265pX4FJSBOXgbH\nSUvj/SIAAIC6SJZQ7VRHHHFErf9fI0eO1MknnyxJmjNnjoqLi+u1nbvuukuGYSg7O1vPP/98jQmt\nsWPHatCgQZKkBx54QCUlJfXaTiIiWAMAAABJjFCdHPbZZx9JFSc5Kysrq/Pzd+/eralTp0qSzjrr\nLDVt2jTocmPGjJEk7dq1y1w+GRCsAQAAgCSVjKE60Aoei69YWrx4sSSpbdu2atKkSZ2fP3fuXDOQ\nH3vssSGXGzhwoHl75syZdd5OoiJYAwAAAEkoGUN1MiovL9f48eM1Y8YMSTJPPFZXv/zyi3m7R48e\nIZdr2rSpWrRoUeM5TseHUQEAAIAkQ6iOrco/+2Dy8/Prve6xY8fK5/PJ6/Vq48aNWrRokTZv3qz8\n/Hzde++9uuSSS+q13rVr15q327VrV+uy7du31+bNm7VmzZp6bSsREawBAACAJOH1euX1epM6VMfD\nWcE7d+5c67KGYdR7O08//bR8Pl+V77Vo0UKPP/64Tj/99Hqvd/fu3ebtnJycWpcNPF5UVFTv7SUa\ngjUAAACQJDwej8rKyszrCydbqE4GTz75pPx+v7xerzZt2qQvvvhC3377rc4++2z169dPH3zwgZo3\nb17n9e7Zs8e8He7ytunp6TWe43QEawAAACAJEapjZ8WKFcrLy7Nl3ZdeemmV+/fcc4/eeecdnXfe\neZo7d66GDh2qb7/9VqmpdTvdVqNGjczbZWVlZngOJhCoKz/H6Th5GQAAAICkEQ9nBc/Ly1N+fn7I\nL6udddZZuvnmmyVJCxcu1Oeff17ndeTm5pq3d+3aVeuygccrP8fpCNYAAABAEiosLFRxcXGsh4Eo\nOeuss8zb33zzTZ2fX/lz4eFOShZ4PNxnyZ2EYA0AAAAkCbfbbX6+WiJcJ5PK164uKSmp8/MPOOAA\n8/aPP/4Ycrk1a9Zox44dkqSePXvWeTuJimANAAAAJIm0tDSlpaVV+XxvsoXreGgFj4Xly5ebt1u3\nbl3n5/ft29ds7Z42bVrI5So/dsIJJ9R5O4mKYA0AAAAkmezs7KQO18no8ccfN28PHjy4zs9PT083\n28knT56sP/74o8YyXq/X3E67du109NFH13O0iYdgDQAAACQhwrUzfPfdd3r//fdD/t/t2LFDY8aM\n0dtvvy1JOvXUU9WrV68ay7333nu67LLLdNlll1WZ3a7stttuU2Zmprxer0aMGKGCggLzMZ/Pp6uu\nuko///yzJOmuu+5SWlryXIQqeSoFAAAAUEXgcluFhYVV/nXyZbhi1ZZt1zYXL16siy66SJmZmdp/\n//3VqlUrtWjRQn6/X6tWrdL8+fNVVlYmSTrssMP00ksvBV3PvHnz9PTTT0uSzjvvPHXp0qXGMh06\ndNCLL76oc889Vz/88IP22WcfHXfccWrUqJHmzJmj1atXS5IuuOACXXTRRbbUG68I1gAAAEASS8Zw\n7SSHHnqozjnnHE2fPl3ff/990GU6d+6syy+/XFdffbXcbneDtjdy5Eg1a9ZMY8eO1bJly/TBBx+Y\njzVu3Fj/+Mc/dMMNNzRoG4mIYA3H8Xq9sR4CAABAQiFcJ66ePXvqjTfekN/v19KlS7V27Vpt2rRJ\nhmEoPz9fPXv2jOiyV8OHD9c+++wjSea/oQwePFhLly7VDz/8oGXLlqmsrEzt27fXkUceWeWs88mE\nYA1HIVQDAADUT7KEa6e1ggekpqaqe/fu6t69e72e37dvX/Xt27dOz+ndu7d69+5dr+05DScvg2MU\nFxebnx8BAABA3XFCM6B+CNZwhOLiYvNdVQAAANQf4RqoO1rBkfCqh+qGnpABAAAg2Tm5LdypreCI\nLWaskdCqh+qMjIykul4eAACAXZi5BiJHsEbCqh6q8/LyCNUAAAAWIlwDkSFYIyEFC9VOaE0CAACI\nN4RrIDym92AJl8sVtW0RqgEAAKLLaZ+55vPOsBoz1rCE2+2OyjWkCdUAAACxwcw1EBrBGpYpLy+3\ndedKqAYAAIgtwjUQHK3gsJRdbUGEagAAgPiQ6G3hXG4LdmDGGpbweDzmbavfuSRUAwAAxBdmroGq\nCNawhM/nU3p6unnfqp0roRoAACA+Ea6Bv9AKDsukpaUpNzfXsrYgQjUAAEB8S8S2cFrBYQdmrGEp\nq965JFQDAAAkBmauAYI1bNDQnSuhGgAAILEQrpHsaAWHLerbFkSoBgAASEyJ0hZOKzjswIw1bFPX\ndy4J1QAAAImNmWskK4I1bBXpzpVQDQAA4AyEayQjWsFhu3BtQYRqAAAAZwl3/Od2u2MxLEm0gsMe\nBGtERaida/XbhGoAAABnCHX85/V6lZGREaNRAfYgWCNqagvXEqEaAADAaYId//n9/hiOCLAHwRpR\nVX3nGkCoBgAAcKZQx3+xQis47MDJywAAAAAAaACCNaKq+onKAjhbJAAAgDOFOv4DnIRWcERNsLN/\nS6HPFgkAAIDEFuz4z+v1ateuXTEbE63gsAPBGlER7pJahGsAAABnCXX8V15errKystgNDLABreCw\nXbhQnZ2dbc5eS7SFAwAAJLpwx38ejycGowLsw4w1bBVupxoQ6lJczFwDAAAklkiP/2KFVnDYgRlr\n2KauO1VmrgEAABJbvIdqwC4Ea9iivjtVwjUAAEBiIlQjmdEKDss1dKdKWzgAAEBiSaRQTSs47MCM\nNSxl1U6VmWsAAIDEkEihGrALwRqW8Xq9lu5UCdcAAADxjVANVKAVHJZwuVwqLy9XZmamJOt2qrSF\nAwAAxKdEDdW0gsMOzFjDEm6327xt9U6VmWsAAID4kqihGrALwRqWsmunSrgGAACID4RqoCZawWGZ\n9PR0W3eqtIUDAADElhNCNa3gsAMz1rCEx+NRWpr979Mwcw0AABAbTgjVgF0I1rCEz+eL2rYI1wAA\nANFFqAZqRys4ElKotnAAAABYy2mhmlZw2IFgjYRFuAYAALCX00I1YBdawZHQqreFl5WVyev1xm5A\nAAAADkGoBiLHjDUSXvWZa4/HE8PRAAAAJD4nh2pawWEHZqzhCNVnrgEAAFA/Tg7VgF0I1nCM7Oxs\nZWRkxHoYAAAACYtQDdQPreBwlLS0NLnd7lgPAwAAIOEkS6imFRx2YMYajpOWxvtFAAAAdZEsoRqw\nC8EaAAAASGKEaqDhmNoDAAAAklQyhmpawWEHZqwBAACAJJSMoRqwC8EaAAAASDKEasBatIIDAAAA\nScLr9crr9SZ9qKYtG1ZjxhoAAABIEh6PR2VlZeb9ZAzVgB0I1gAAAEASIlQD1qEVHAAAAEDS4Kzg\nsAMz1gAAAEASKiwsVHFxcayHATgCwRoAAABIEm63WxkZGeZ9wjVgDVrBAQAAgCSRlpamtLQ05eTk\nmGcGD/ybLJ+3phUcdmDGGgAAAEgy2dnZysvLM+8zcw00DMEaAAAASEKEa8A6tIIDAAAASSrQ/p1M\nbeG0gsMOzFgDAAAASYyZa6DhCNZwHK/XG+shAAAAJBTCNdAwtIJHYN26dZoyZYrWrVunjIwMde3a\nVSeddJLlLTJWbCdaY41XhGoAAID6SZa2cFrBYQeCdS2Kiop07bXX6rnnnpNhGFUe22uvvfTggw/q\n0ksvjYvtRGus8ay4uFhlZWVKS+PXGgAAoD6SJVwDViOBhODxeHTaaafpiy++kCQNGDBAxxxzjIqL\ni/Xuu+9q1apVGjNmjHbu3KkbbrghptuJ1ljjWXFxsbnjBwAAQP0RroG64zPWITz00ENmUB0/frxm\nzpypO+64Qw888IB+/fVXHX/88ZKkm2++WUuWLInpdqI11nhVPVS73e7YDQYAAMABnPyZ60AreCy+\n4FwE6yD27Nmj++67T5J09NFH15jlzcrK0iuvvKKsrCz5/X7deeedMdtOtMYar6qH6oyMDFrBAQAA\nLODkcA1YjWAdxLRp07Rjxw5J0hVXXBF0mZYtW+r000+XJE2ePLleOxkrthOtscaj6qE6Ly+PUA0A\nAGAhwjUQGYJ1EIG2akkaOHBgyOUGDx4sSSotLdU333wTk+1Ea6zxJlio5nM/AAAA1nNauKYVHHYg\nWAfxyy+/SKqY6W3evHnI5Xr06FHjOdHeTrTGGo7L5bJ8naEQqgEAAKLLaeEasBp9s0GsXr1aktSu\nXbtal2vfvn2N50R7O9EYa6DVPJhAwHW73VG5hjShGgAAIDY4WzgQGsE6iN27d0uquP5zbXJycmo8\nJ9rbicZYmzRpEtFy5eXlKi4utm3nSqgGAACILSeE61i1ZdMK7mwE6yD27NkjSUpPT691uYyMjBrP\nifZ2ojXWSOzZs0dLly7Vjh07VFJSYum6GzVqpPz8fPN+qG20aNFCe/bs0SeffKKTTz5ZkjT62NrX\n/ezMMWp6etNal9n2wba6DxqOYhhGTLYb7Rdh6rRXNOuMVY0SddohGX5nEVwkxzGRGjp0qNq1a6fM\nzEwtWLCgQeOqfGxWUFBQ5+O/Fi1aNGj7QLwhWAeRlZWlXbt2qaysrNblKgfUrKysmGwnGmPdvn17\nyMcKCwvVuXNneTwe83uBnaxV4TrSUA0AAIDoCByLBY7RrD7+AxINwTqI3NxcFRQUaNeuXbUuV7ml\nOjc3NybbicZYK4faUHw+X5Vwb9XOlVANAAAQnxI1XNMKDjvE5KzgZWVlWrdunf7880/t3LkzFkOo\nVadOnSRJa9eurXW5yo8HnhPt7URrrJHweDxVTnSWn5+vRo0a1Xt9hGoAAID4VlJSYunxH5CobA/W\nhmFo7ty5uvvuuzVo0CA1btxYmZmZat++vbp27aq8vDylp6erR48euuKKK/TWW2/VehbqaOjZs6ck\naevWrdqwYUPI5X766SfzduXLWUVzO9Eaa6Ss2rkSqgEAABID4RqwMVhv27ZNDz74oLp27ar+/fvr\ntttu05dffhm0Zdnj8ejXX3/VU089pZEjR6pt27a66KKLGnxShfo6/vjjzdvTp08Pudznn38uqeKM\n3EceeWRMthOtsdZFQ3euhGoAAIDEQrhGsrP8M9ZFRUW6//77NWHCBJWWlprfz8zMVO/evdWzZ081\nadJETZs2VUZGhrZt26bt27drzZo1mj9/vgoKClRaWqqXXnpJL730ko499lhNnDhRBx10kNVDDWng\nwIFq1aqVNm3apMcee0znn3++UlOrvgexatUqffLJJ5KkM844o8pZt6O5nWiNta7q+5kbQjUAAEBi\nSpTPXPMZa9jB0mD9xhtv6LrrrtOmTZskSe3atdP//d//6fTTT1fv3r3DXhJKklauXKkvvvhCr732\nmr7++mvNnDlThxxyiC688EI99NBD9TpJWF253W7ddtttuuKKK/Tdd9/ppptu0vjx480/hh07dmjk\nyJHyeDxKT0/XrbfeGnQ948eP1+bNm5WVlaW7777blu1YNVY71HXnSqgGAABIbIkSrgGrWdoKPnHi\nRG3atEnHHXecZsyYodWrV+u+++7T4YcfHlGolipOrHXJJZdo1qxZWrVqlf75z3+qUaNGeuGFF7Rs\n2TIrh1uryy67TMOHD5ckPfjgg+rRo4cuv/xyXXDBBerSpYvmz58vSfrvf/+rLl26BF3HCy+8oAkT\nJuixxx6zdTtWrMMukbYFEaoBAACcgbZwJCNLZ6wHDBigRx55RP369bNkfR06dNC///1vXXvttRo/\nfny9rhVdXykpKXrjjTe03377acKECfrtt9/022+/mY+3a9dOjz/+uIYNGxbz7URrrPUV7p1LQjUA\nAICzhDv+c7vdsRmYaAWHPSwN1g8++KCVqzM1bdpU999/vy3rro3b7dbdd9+tm266STNnztTatWuV\nkZGhbt26qV+/fjU+y1zdTTfdpG3btikzM9PW7Vi1DjuF2rlWv02oBgAAcIbajv+icc4fIJosP3mZ\nE+Xk5OiUU06p8/MuuuiiqGzH6nXYpbadq0SoBgAAcJpwx3+AUxCsEVXVd64BhGoAAABnCnX8Fyu0\ngsMOse0PBgAAAAAgwUV1xnrdunV6/vnnNWvWLP3555/atWuXfD5frc+ZPXu2evfuHaURwm7VT1QW\nkBSXYnClSu3zpaIyaWtRrEcDAAAQFaGO/wAniVqwfuONNzR69Og6B6dwwRuJI9jZv6Ukus5h91bS\nPi0kw5CKy6SV26Q12yUPv+MAAMCZQh3/tWrVKlZDohUctohKsP7xxx91wQUXyOfzyeVy6eijj1av\nXr2Un58f9mzVbdu2jcYQYbNwl9RKinDdKF1yu6SMtIqvnExp/9bS+kJp5VZphwNrBgAASau247+y\nsrJYDQuwRVSC9VNPPSWfz6d27dpp6tSp6tGjRzQ2izgRLlSHu86h47hSpax0KdOomK3u2LSiRXxn\nqbRqm7R2h+Tzx3qUAAAA9Rbu+M/j8cRiWIBtohKsf/31V0nSnXfeSahOMuF2qgFJF653lkjp/5u5\nTs+sCNLpaVJeI6lHG2nt9opW8d17Yj1SAACAOon0+C9WaAWHHaISrPfaay9JUvfu3aOxOcSJuu5U\nkypcG5LKvBVfaakVAbtResXnr8t9UpcWUqdm0vbiijbxDTslvxHrUQMAANQq3kM1YJeoXG7roIMO\nkiStX78+GptDHKjvTrWkpMQ8qYVUEa4bNWpkyxjjhtcvFZdXtIKXeSs+h52bKeVkSC1zpUP2lob0\nkHq0rgjfAAAAcYhQjWQWlRnryy+/XBMnTtQLL7yg4cOHR2OTiKGG7lTjbebakKQD20nNshu2oqww\nodgwpD2eii+3q6I1PDuj4vtlXqlby4qzim/eXTGLvWlXw8YDAABgkUQK1bSCww5RCdbt27fX66+/\nrhEjRujqq6/W+PHjlZGREY1NI8qs2qnGU7j2uTKkTk2lTHfDV+ZKrQjK4Xh8FV+pKX99FjvTXfG9\nti6pxV5SqUdava3ihGdl3oaPDQAAoB4SKVQDdonadazPPPNMffXVV7r00kvVsWNHDRs2TN26dQvb\n5nvmmWeqefPmURolGsLtdlu6U42XcG0E3l3M+N+fSyTBOOTKVBGII+WvNoud8b9ZbL9REbQbpUv7\ntpI27pRWbZW2FNV/bAAAAHVEqAYqRC1Y+/1+LVq0SEVFRdq0aZOefvrpiJ536KGHEqwTgMvlUkZG\nhnlNQqt2qvESrk2lHqk8RrPDlWexM9x/zWKXe6UOTaQ2jaXisoqzia/ZXrEsAACATRI5VNOWDatF\nJVgbhqGzzz5b7733XjQ2hxhwu/9qk7Z6pxp34TrW/IZUWi6V6q828Zy0ikt2ZaRJOZnS/q2l9YUV\nn8XekaQ/JwAAYJtEDtWAHaISrCdNmmSG6mHDhmnMmDE68MADlZ+fr9TU2k9MzmexE4tdO1XCdQjl\n3oov1/8u2ZWVLmUaFbPVHZtK7fMrzja+rKDikl0AAAANRKgGaopKsP7ggw8kSeecc47eeOONaGwS\nMVBWVmbrTpVwXQufXyopr5jJTv9fi3j6/2ax09OkxlnSzKXSrj2xHikAAEhgTgjVnBUcdohKsN64\ncaMk6cILL4zG5hADHk8dTsjVAITrMNyuiq+UlIqW8cDnssu8UjmfuQYAAPXnhFAN2CUqwbpNmzaS\npKysrGhsDjHg8/mqfM7aToTralJTKtrA09MqArXHV3ESM4+v4mRrq7ZVXJaLS3IBAIB6IlQDtav9\nA84WGTZsmCRp/vz50dgckkBJSYl27Nhh3s/Pzw976TbHcbuknAwpN6siVJd5pV2lFaF6XaE0f6X0\n+a8Vn68mVAMAgHpyWqgOtILH4gvOFZVgffbZZ+uYY47RAw88oDVr1kRjk0gCwcK17bPmqSkN/2qI\nlJSKz0/nZlVcz1qqCNI7SytC9dICafpv0rcrpE27Gl4vAABIak4L1YBdotIKnpaWpg8//FAXX3yx\n+vbtq//85z8aPny4cnJyorF5OFj1tvCMjAx7d/aZ7oqvhvB4peLyuj0nLbXi2tVul2QYFWcCL/NJ\nfr+0rbjislobd1Z8rhoAAMAChGogclEJ1sOHD9eSJUskSZs3b9ZFF12kSy65RG3atAnbvvvee++p\nR48e0RgmElT1cG31rHWq/39t1EVlDV+Z2/W/YB5BsE7RX9epTk3968zfgROSrd1eEah3WzAuAACA\nSpwcqjkruDO98847Wrp0qc444wztv//+Ud9+VIL1qlWrtHTp0irf8/l8Wrt2bdjnlpaW2jUsOEhg\nR9+qVSvL1+3ye6VvlktNG9hh0TZPapIdwQZT/zoZmfG/M3uXlVcE652lFWF6XWHFfQAAAIs5OVTD\nub7//nvdd999yszMdG6wPvPMM3XooYfW67ktWrSweDRwqpKSEpWV2TR7u6Wo4qshcjNrD9aB2WnX\n/2anS8srLpHl80vrdkgrt0mFvKgBAAD7EKoTU0lJib755ht9/fXXWrFihTZu3KiioiI1adJEvXr1\n0vDhw+udxyp79NFH9cILL4Rdbq+99tLs2bMbvL262HfffSVJW7Zsiep2A6ISrP/xj39EYzOAPB5P\n1K6pbYnUlIrPTqf/79rT5d6KQO31V7Ser9omrdleMWsNAABgo2QJ1U5rBZ82bZpOOeWUkMfAU6dO\n1f3336/TTz9dL7zwgvLy8uq9rQ0bNuinn34Ku1zjxo3rvY36OuOMM3TzzTfr888/13333Rf1/+Oo\nBGsgmny+BAih6a6KGeo0V8UJx8q8FV9+Q9pYWDE7vbWBM+QAAAARSpZQ7US7d+82Q/VRRx2lYcOG\nqVevXsrNzdXy5cv11FNPafbs2frggw+0YcMGzZ49u8HnJMrLy9PMmTNDPu5yuRq0/vooLCzUk08+\nqdGjR+uOO+7QnXfeGdXtx22wfvnll5WRkaGRI0fGeiiA9RplVMxCF5dV/FvqqZidXr2Na04DAICo\nIlQnvhNOOEH33XefevXqVeX7ffr00ciRIzV69Gg9//zzmj9/vp5++mmNGzeuQdtzuVw66KCDGrQO\nqz366KOaMGGCUlNTddddd2nOnDkaPXq0jj32WLVs2dL27UflOtb1MX78eF100UUqLi6O9VAAaxiq\nOBnZHk/FNaeLy6T1hdL8ldLnv0rLCgjVAAAgqpIxVAdawWPxZYdTTjlFU6ZMqRGqK9f78MMPKzu7\n4lw/b7/9ti3jiLUhQ4Zo5MiR6ty5s1JSUvTll1/qnHPOUatWrdSxY0eNHDlSDz/8sFatWmXL9qMy\nY33PPffUqYD169fr119/lSStXr06Jmd1AyxXsEtq07giUK/eXjFDXVLH61kDAABYJBlDtRNlZGSE\nXSYnJ0c9e/bU/Pnz9eeff0ZhVNF33HHH6bjjjpNU0Rb+3XffadGiRebXW2+9pbfeekter1fXX3+9\n5duPSrD+8MMP9d1339X5ec2bN1fHjh2tHxAQC2u2V4Trcl/FzDUAAECMEKqTz86dOyVJ6enpMR6J\n/fLy8jRo0CANGjTI/N62bdu0aNEi2646FZVgve+++8rrrb3FtaysTGvWrDH/oIcMGaJHHnlEjRo1\nisYQgeig1RsAAMSQy+WS2+1O6lDttLOCR2LFihVaunSpJIVsGa+L0tJSjR07Vr/88otKSkrMy3oN\nGzZMRx55ZIPXH4zH42nQSdeaNm2qIUOGWDiiqqISrF9//fWIlvN6vXr77bd1xRVXaMGCBYl12SQA\nAAAgzrndbmVkZKisrExS8oXqeFFYWFjr45Xf+LDCP/7xDxn/65i88MILG7y+kpISPfnkk1W+N23a\nNI0fP16DBg3SK6+8ojZt2jR4OwHbt29X69at1aNHD82YMUNNmjSxbN1Wiauzgqelpencc89VRkaG\nhg8friuuuEJff/11rIcFAAAAOA6hOnY6d+5c6+OGhR8bfPnll80Tlg0YMECnn356vdeVkpKivn37\n6qSTTlK3bt3UoUMHeTwe/fzzz3ruuef0008/6YsvvtDRRx+tefPmqXnz5pbU8P3336u8vFxbtmyJ\nKFSvW7dObrc7KmcDD4jLs4KfccYZysvL0+zZs7Vly5ZYDwcAAACAQzjtrOC1+fbbb3XZZZdJkpo1\na6bXXnutQeu75ZZbNG/ePN16660aMWKEjjjiCB199NEaN26cvvvuO1111VWSpOXLl+vGG29s8PgD\nfv/9d0lS//79I1r+zz//VKtWrap8xtpucRmsU1JS1L59e0nSpk2bYjwaAAAAwHny8/M5n1GMrFix\nQtu3bw/5ZYVff/1VQ4cO1Z49e5Sdna1PPvlEbdu2bdA6A5fsCsblcunhhx/WIYccIqni48C7du1q\n0PYCAj+TQEYM+Oijj/TEE0/UuALV0UcfrZYtW+rrr7+OWldGXAZrSdq8ebOkindWAAAAADScx+Mx\nP18tEa5jJS8vT/n5+SG/GmrFihU67rjjtH37dmVkZOjDDz9U3759LRh57VJSUnT++edLqvhdW7Bg\ngSXrDfzOVv/ZzJ49W+PGjdO7775b5fupqanq1auXvF5vva5OVR9x9RnrgN9++00FBQU64IAD1Lp1\n61gPBwAAAHAEn88nj8ejoqIiM6QE/k2Wz1s7/azg69at06BBg7Rhwwa53W698847Gjx4cFS2LUmd\nOnUyb1v1sd5WrVpJkrZu3Vrl+7VdeSqQI9evX2/JGMKJuxnrNWvW6KKLLlJWVpaeeOKJWA8HAAAA\ncJySkhLt2LHDvM/MtTMUFBRo0KBBWrVqlVwul15//XWdcsopUR1D5fbv2lrH62LvvfeWJH311VdV\nvh8Izdu2bavxnLy8PEnWhftwojJjfdNNN2n58uW1LmMYhtasWaMlS5Zoz5496tmzpx555BE98sgj\nQZcfP3582LPpAQAAAAguMEOdrDPXTrN9+3Ydd9xxWrZsmVJTU/Xiiy/qrLPOivo4pk+fbt7ef//9\nLVnn4MGDlZubq++++04fffSRhg0bps2bN2vq1KmSKjqeqwvMbqelRadJOypb+eKLL+rc275kyRIt\nWbIk5OM333wzwRoAAABogGQM105sBd+1a5eGDBmixYsXKyUlRU8//bT5Wedomjt3rt544w1JUq9e\nvbTPPvtYst5GjRrpoosu0iOPPKKzzjpLxx9/vH7++WcVFRXpkEMO0ZQpU7R+/Xrz5Gx+v19z586V\nJLVo0cKSMYQTlWB9yCGHKCcnx9J17rXXXpauDwAAAEhGyRiunaSkpERDhw7VokWLJEmPPfaYLrnk\nkjqv56GHHtLLL78sSXrppZd00EEHVXl8+vTpmjZtmk499VQdfvjhysjIMB/btWuXXnjhBd1yyy3y\ner1yuVyaOHFi/YsK4t///rfmzZunBQsWaPLkyZKkAw88UOPHj9egQYN02mmn6c0331T79u115513\nmmcK7927t6XjCCUqwfrpp5+OxmYASRWn+gcAAEDkCNeJ69lnn9WcOXMkSRkZGXr22Wf17LPP1vqc\nBQsWKD09vcr31q9fr59++kmSVFRUVOM5BQUFmjBhgiZMmCCp4nekZcuWKi8v1+rVq+Xz+SRVfK76\n2Wef1cCBAxtcW2XZ2dmaNWuWnnnmGc2ZM0fNmzfXv/71L7Vt21bHH3+8Pv/8c3Xt2lUul8scS9++\nfaPW5RyXZwUH6svtdsd6CAAAAAkpWcK101rBPR6PebusrMwMx7Xx+/113s6QIUP0yCOPaMqUKZoz\nZ4527NhR5QR4HTt21LBhw3TNNdeoY8eOdV5/JLKysnT11Vfr6quvrvL91157TcOGDdO8efPMUJ2X\nl6ennnrKlnEEQ7CGZZo2bao2bdrEbPs+n0/l5eVyuVzq0KGDzj77bElS15SZtT6v/4XHhl/5aRYM\nEKiHQEuW01Gns1CncyRDjfHOkuOY/9m6davKysrk8/lqPWbz+XzmZYxyc3OVlpZmaUegz+dTQUGB\nZetLdqNGjarz5bQqt3EHXHvttTrvvPMkSV27dq3xePPmzXXVVVfpqquukiTt3LlTmzZtUkpKipo3\nb27J9bfrq3nz5po7d65mzpypH3/8UY0aNdLpp5+uli1bRm0MBGs4QuUXAAAAANRfIEQHjq0C//Jx\nu/jUvHlzNW/evMHradOmTZ0myRo3bqzGjRs3eLtWSUlJ0cCBAy1vQY+Updex3rBhg5Wrq6KoqKjK\nNdGAgOqhOjU17i7PDgAAkFBcLleVyxR5vV6zxTbRBVrBY/EF57I0gZx22mkaMWJE0OuI1VdJSYke\neOABderUScuWLbNsvXCGYKGanRYAAEDDOTlcA1azNFhnZWXp7bffVs+ePXX66afrgw8+UHl5eb3W\ntXjxYt14443q1KmTbrzxRm3fvl1ZWVlWDhcJrnqoTktLI1QDAABYiHANRMbSz1hPnjxZ9913nyZO\nnKgPP/xQH374oZo0aaKTTjpJffv2Vd++fbX//vvXCMg+n0/r1q3TggULNH/+fM2YMaPK2ewGDhyo\niRMnqkePHlYOFwksWKiufGp9AAAAWMNpn7l22lnBER8sDdY5OTm65557NGbMGN199916/fXXtX37\ndr322mt67bXXzOWysrLUpEkTZWRkaPv27dq5c6cMw6ixvn79+unmm2/WySefbOUwYYNo7lhDhWoA\nAADYw2nhGrCaLWd5at++vZ555hlt2LBBjzzyiA455JAqJ5QqLS3V+vXrtWLFChUWFlYJ1e3atdPY\nsWO1ePFizZkzh1CdINxud9A3R6xGqAYAAIgN2sKB0Gy93Fbjxo3Na53t3LlTc+bM0XfffaeCggJt\n2bJF5eXlatasmZo3b66uXbvqmGOOUZcuXewcEmxkGIZ8Pp9tQZdQDQAAEFtOmLmmFRx2iNp1rBs3\nbqyhQ4dq6NCh0dokYsCunSuhGgAAID44IVwDVuOCv7CEx+Mxb1vdFkSoBgAAiC+0hQNVRW3GGs7m\n8/mqtLdY9c4loRoAACA+JerMNa3gsAMz1rBMSkqKpe9cEqoBAADiGzPXQAWCNSxl1c6VUA0AAJAY\nCNcAreCwQUPbggjVAAAAiSXR2sJpy4bVmLGGLer7ziWhGgAAIDExc41kRrCGbeq6cyVUAwAAJDbC\nNZIVreCwVaRtQYRqAAAAZ4j3tnDOCg47MGMN24V755JQDQAA4Czhjv/cbncshgXYhhlrREWody6r\n3yZUAwAAOEOo4z+/36+MjIyYjQuwA8EaUVNbuJYI1QAAAE4T7PjPMIxYDolWcNgiKq3g/fr1U2Zm\nprp3765ly5bV6Tnff/+9zaNDNFVvCwogVAMAADhTqOM/wEmiEqzLyspUVlam33//XUcccYRmzZoV\n8XP8fr/9AwQAAAAAoJ6ievKyzMxMbd++Xccff7xefPHFaG4acaL6icoCuBQDAACAM4U6/gOcJKrB\n+o033tCBBx4oj8ejv/3tb7r55ptj/hkLRE+ws39znUMAAADniservwQ+Yx2LLzhXVIN1+/btNXfu\nXA0dOlSSdP/99+uss85SSUlJNIeBGAi1Uw13KQYAAAAkplDHf6mpqSorK4vhyADrRf061jk5Ofro\no4901VVXSZLee+89HXPMMdq4cWO0h4IoCfdOJeEaAADAWcId/3k8nlgMC7BN1IO1VBGkHnnkET3x\nxBNyuVxatGiR+vTpo59++ikWw4GNIm3/IVwDAAA4Qzy2f1dGKzjsEJNgHXDFFVdo8uTJys3N1bp1\n69S/f399+umnsRwSLFTXnSrhGgAAILHFe6gG7BLTYC1JQ4YM0TfffKOOHTuqqKhIw4YN08MPPxzr\nYaGB6rtTJVwDAAAkJkI1klnMg7Uk9ejRQ/Pnz1ffvn3l9/v197//XT/++GOsh4V6auhOlXANAACQ\nWBIpVNMKDjvERbCWpBYtWmjmzJkaOXKkJBGkEpRVO1XCNQAAQGJIpFAN2CUt/CINd+6556p///5q\n2bJlrctlZmbqjTfeULdu3fT8889LktLT06MxRFjAMAxLd6qB5wbWGfiXHTUAAEB8IFQDFaISrK+9\n9tqIl01JSdGdd96pO++808YRwWoul0uGYZgtLlbtVAnXAAAA8SlRQ3Ws2rJpBXe2uGkFR2Jzu93m\nbat3qrSFAwAAxJdEDdWAXQjWsJRdO1XCNQAAQHwgVAM1RaUVHMkhJSXF1p0qbeEAAACx5YRQTSs4\n7MCMNSzh8XiisrNg5hoAACA2nBCqAbsQrGGJaIZbwjUAAEB0EaqB2tEKjoQUqi0cAAAA1nJaqKYV\nHHYgWCNhEa4BAADs5bRQDdiFVnAktOpt4X6/X4ZhxHBEAAAAzkCoBiLHjDUSXvWZa7/fH8vhAAAA\nJDwnh2pawWEHZqzhCNVnrgEAAFA/Tg7VgF0I1nAMl8ul1FR+pQEAAOqLUA3UD1N8cJSUlBTCNQAA\nQD0kS6imFRx2IIHAcdhpAQAA1E2yhGrALgRrAAAAIIkRqoGGoxUcAAAASFLJGKppBYcdmLEGAAAA\nklAyhmrALgRrAAAAIMkQqgFr0QoOAAAAJAnDMGQYRlKHalrBYQdmrAEAAIAk4ff75ff7zfvJFqoB\nuxCsAQAAgCREqAasQys4AAAAgKRBKzjswIw1AAAAkIS8Xq98Pl+shwE4AjPWAAAAQJJITU2VYRjm\n/cBJzGgJBxqGYA0AAAAkiUAbtMvlMkN1soVrWsFhB1rBAQAAgCTjcrmUlvbXHBtt4UDDEKwBAACA\nJES4BqxDKzgAAACQpALt38nWFk5bNqzGjDUAAACQxJi5BhqOYA3HqXymSwAAAIRHuAYahlZwOIph\nGPL7/bEeBgAAQMJJlrZwzgoOOzBjDcfw+XyEagAAgAZg5hqoH4I1HMHn85nvqgIAAKD+CNdA3dEK\njoRXPVSnpvJ+EQAAQEM4uS2cVnDYgQSChBYsVLPTAgAAaDhmroHIEayRsKqH6rS0NEI1AACAhQjX\nQGRoBUdCChaqXS4XO3oAAACLOa0tnFZw2IEZa1gimjvWUKEaAAAA9mDmGqgdwRqWcLvdMgzD9u0Q\nqgEAAGKDcA2ERis4LGMYhnw+n21Bl1ANAAAQW05oC6cVHHZgxjqM9evX68Ybb1SPHj3UuHFjtWjR\nQv369dNjjz2m8vLyBq//oIMOUlpaWtivUaNGxXyskbDrnUtCNQAAQHxg5hqoiRnrWkyfPl1nn322\nCgsLq3x/y5Yt+uabb/T8889r2rRpatmyZb23EemOKNwy0RhrbTwej3nb6ncuCdUAAADxxQkz14CV\nmLEO4ffff9eZZ56pwsJCtW/fXh9++KF27NihdevW6d5771VaWpp++uknnXLKKVVCX31dcMEF8ng8\nIb9eeeWVuBlrMD6fr0p7i1XvXBKqAQAA4lOizlwHWsFj8QXnIliHcMMNN2j37t3Kzs7WzJkzNWzY\nMOXl5alt27a6+eab9eSTT0qSFi5cqBdeeKHB20tJSam1FTw1NfR/VbTHGq6GgIbuXAnVAAAA8S1R\nwzVgNYJ1ECtXrtSnn34qSRozZoy6dOlSY5nRo0era9eukqRHH300quOrLN7GatXOlVANAACQGAjX\nAME6qI8++si8PWLEiJDLnX322ZKkX375RX/++aft4womHsfa0J0roRoAACCxJFK4phUcdiBYB7Fw\n4UJJUnp6unr37h1yuSOPPNK8vWjRItvHFUy8jrW+O1dCNQAAQGJKpHANWI1gHcTvv/8uSerQoYPc\nbnfI5Tp16mTe/u233xq0zVmzZunAAw9Ubm6uGjdurG7duumCCy7Q9OnT426skarrzpVQDQAAkNgI\n10hWXG4riC1btkhS2EtTVX5869atDdrm6tWrq9zftWuX/vjjD7366qs66aST9Nprryk/Pz8mY92x\nY0fIx6pf3qu6SC/FQKgGAABwhni/FFes2rJpBXc2gnUQRUVFkqTMzMxal8vKyqrxnLrq1KmTzjjj\nDA0YMEAdO3ZUq1attGPHDs2ePVvjx4/XDz/8oM8++0ynnHKKZs6cWWNWOhpjbdKkSZ2Wry7czpVQ\nDQAA4Czhjv9q67QEEhHBuhbh3lWy4l2nTz75pMb3GjVqpJEjR+rMM8/UyJEj9f7772vu3Ll69tln\ndcUVV8RsrA0Rauda/TahGgAAwBlCHf/5/X5lZGTEbFyAHfiMdRA5OTmSpNLS0lqXq/x44DlWcrvd\neu6557TXXntJkl5++eUay0RjrNu3bw/5tWLFiojXE+wzN4RqAAAA54rHz1xzVnDYIWmC9ZNPPqm0\ntLSgX2eeeWaVZZs1ayZJ2rx5c63rLCgoMG83bdrU+kFLys/P14ABAyRJ33//vQzDqPJ4NMaan58f\n8isvL69O66q+cw0gVAMAADhTqOM/wEmSJlj7/X75fL6QX5Xtu+++kqQ1a9ZUmVGtbuXKlebt/fbb\nz56BS2rdurWkinf4du/eXeWxeBsrAAAAACSbpAnWY8eOlcfjCfr1/vvvV1n2sMMOkySVlZXpxx9/\nDLnOefPmmbcPPfRQW8Yt/TXb7HK5zLbwgHgbazjVT1QWEA9tQQAAALBeqOO/WKEVHHZImmCdkpIS\nshU8NbXqj2HYsGHm7bfffjvkOt955x1JUvfu3dWtWzdbxr1r1y7NmjVLknTQQQfV+IOMp7GGE+zs\n3/H2mRsAAABYh6u/IFkkTbCuiy5duuiEE06QJP33v/+tcY1pqeJEYr///rskady4cbaMw+fz6fLL\nL9fOnTslSeeff37cjjWcUDvVeDyhBQAAABou1PFfamqqysrKYjgywHoE6xAefPBBNWrUSLt379bA\ngQM1bdo07dmzR9u3b9cjjzyiSy+9VFLFLPLo0aODrqNnz55KS0szTzBW3bhx4zRq1Ci9++67+uWX\nX7Rt2zYZhqHt27fr448/1tFHH6033nhDUkXL9+WXX27bWO0U7p1KwjUAAICzhDv+83g8sRiWJFrB\nYQ9OzxdCjx499Pbbb+ucc87RihUrzFnhyrp3765PP/005AXuAwEx1GdKtm7dqrfeekuvvPJKrWM5\n4YQT9Nprryk9Pd22sdol0vafUNc5pFUIAAAgsdD+jWTEjHUthg4dqp9//lnjxo1T586dlZ6erpyc\nHB188MG6//779f3336tt27b1Xv+TTz6pN998U6NGjdKBBx6o5s2bKyUlRY0aNVK3bt10wQUX6PPP\nP9eUKVPCXiLL7rHWR113qsxcAwAAJDZCNZIVM9ZhdOzYUY899pgee+yxOj/3l19+kWEYIds+mjRp\nopEjR2rkyJENHaakho3VavXdqTJzDQAAkJgSJVTHqi2bVnBnI1jbKB53JNHQ0J0q4RoAACCxJEqo\nBuxCKzgsZdVOlbZwAACAxECoBgjWsJBhGJbuVAnXAAAA8Y1QDVSgFRyWcLlcVT5PbtVOlbZwAACA\n+JSooZrPWMMOzFjDEpUv42X1TpWZawAAgPiSqKEasAvBGpaya6dKuAYAAIgPhGqgJlrBYZmUlBRb\nd6q0hQMAAMSWE0I1reCwAzPWsITH44nKzoKZawAAgNhwQqgG7EKwhiWiGW4J1wAAANFFqAZqRys4\nElKotnAAAABYy2mhmlZw2IFgjYRFuAYAALCX00I1YBdawZHQqreF+/1+GYYRwxEBAAA4A6EaiBwz\n1kh41Weu/X5/LIcDAACQ8JweqmnLhtWYsYYjVJ+5BgAAQP04PVQDdiBYwzFcLpdSU/mVBgAAqC9C\nNVA/TPHBUVJSUgjXAAAA9ZAsoTpZzgru8/mi9v/n9/uT/hicYA3H4TMzsMMrr7wS6yFEBXU6RzLU\nKFEnYJVkCdVO5PF4NH/+fM2aNUtff/21VqxYoY0bN6qkpER5eXnq1auXhg8frr/97W9q1KiRJdss\nLS3Vww8/rLfeekvLli2Tx+NRmzZtdNJJJ+n6669Xly5dLNlOIiFYAwAAAEmMUJ3YPvroI5111lk1\nvp+amqrCwkJ99dVX+uqrr/TII4/oo48+0v7779+g7a1du1bHHXecli5dan4vJSVFa9as0X//+1+9\n+uqreuONN3Tqqac2aDuJJrnn6wEAAIAkloyhOtAKHosvOzVp0kQ33HCD5syZo6KiInm9Xq1YsULX\nXXedUlNT9eeff2rw4MHasWNHvbdRXl6uoUOHaunSpcrMzNTjjz+unTt3as+ePZo+fbq6dOmi4uJi\njRw5UosXL7awuvhHsAYAAACSUDKGaifKzs7WHXfcobVr12r8+PHq16+fsrOzlZKSok6dOunBBx/U\nhAkTJEkbN240b9fH008/bQbm5557TmPHjlVubq7S09M1ePBgffnll8rNzVVpaaluuOEGS+pLFARr\nAAAAIMkQqp3jxBNP1O23317r56evvPJKNW/eXJL02Wef1XtbTzzxhCSpR48e+r//+78aj3fo0EFj\nxoyRJE2bNk1//vlnvbeVaAjWAAAAQJIwDEOGYSR1qHZqK3htXC6XeUKxDRs21Gsdv//+u/m56mCf\n6Q6o/NhHH31Ur20lIoI1AAAAkCT8fr/8fr95P9lCdTILBOrc3Nx6Pf+7774zb/ft2zfkcr1791ZG\nRkaN5zgdwRoAAABIQoTq5PHNN99ozZo1kqQjjzyyXuv4/fffzdudO3cOuVxaWprat29f4zlOx+W2\nAAAAACSNWLVlV95mYWFhrcvm5+dbtl2fz6e///3v5v2xY8fWaz3btm0zbwc+rx1KixYt9Oeff1Z5\njtMRrAEAAIAkFPicNbPW0VfbjK9U8Vl4q9x0001asGCBJGn06NE67LDD6rWeoqIi83ZWVlatywYe\n3717d722lYgI1gAAAECSSE1NrRLaCNfO9uKLL5qX1zrwwAP18MMPW7LecME/8HgsT9gWbQRrAAAA\nIEkE2qBdLpcZqpMtXMdDK/iKFSuUl5dn6/Y+/PBDjR49WpLUqVMnTZkypdZLcoWTk5Nj3t6zZ48y\nMzNDLltaWlrjOU5HsAYAAACSTCBEJ2u4jrW8vDxLP0dd3YwZMzRy5Ej5fD61adNGM2bMUJs2bRq0\nzsqfqy4oKKj1jYGCgoIaz3E6zgoOAAAAJCGXy6W0tL/m2bxer3w+XwxHBCvMmTNHw4YNU1lZmVq0\naKEvvvgi7Ge6I7HffvuZt5cvXx5yOY/Ho3Xr1tV4jtMRrAEAAIAklYzhOtAKHosvuy1atEhDhw5V\nSUmJmjRpounTp1sWbvv06WPenjdvXq1jKC8vl6R6nygtERGsAQAAgCSWjOHaiRYvXqwhQ4Zo165d\naty4saZNm6YDDzzQsvV36dJFPXv2lCS99dZbIU9g9tZbb5m3TzvtNMu2H+8I1nAcKy9PAAAAkAwI\n14lt2bJlOu6447R9+3bl5ORoypQpOvTQQ+u0Dq/Xqz179mjPnj0hj6evuuoqSdIff/yhZ555psbj\nf/zxh5599llJ0rBhw7T33nvXsZLERbCGoxiGIb/fH+thAAAAJJxkCddOawVfvXq1Bg8erIKCAmVm\nZuq9995T7969zZAc7CuYm2++WVlZWcrKytLcuXODLvO3v/1Nhx9+uCRp3Lhx+ve//601a9Zo69at\nevfdd3XssceqpKREubm5Gj9+vC31xivOCg7H8Pl88vv9nM0SAACgnjhbeOJ55513tHbtWkkVl8Ea\nMmRI2OeUlpbWermsUFwulz7++GOdeOKJ+v7773XLLbfolltuqbJMkyZN9M4776hbt251Xn8iI1jD\nEXw+n7njBwAAQP0RrhNLWlqaMjIy6vScYLPnbrfbXE9qaujG5hYtWujbb7/Vc889p0mTJmnZsmUq\nKytT+/btdeKJJ+rqq69W69at61aEAxCskfCqh+radgQAAAAIz8nhOlpn6A62XTtcc801uuaaaxq8\nnnvvvVf33ntvRMu63W5dfvnluvzyyxu8XacggSChBQvVsdhRAgAAOE2yfOYasALBGgmreqhOS0sj\nVAMAAFiIcA1EhlZwJKRgodrlcrGjBwAAsJjT2sKd1gqO+MCMNSwRzR1rqFANAAAAezBzDdSOYA1L\nuN3ukBeStxKhGgAAIDYI10BotILDMoZhyOfz2RZ0CdUAAACx5YS2cFrBYQdmrGEpu965JFQDAADE\nB2augZoI1rCEx+Mxb1u9cyVUAwAAxBfCNVAVreCwhM/nq9LeYlVbEKEaAAAgPiVqWzit4LADM9aw\nTEpKiqXvXBKqAQAA4hsz10AFgjUsZdXOlVANAACQGAjXAK3gsEFD24II1QAAAIklkdrCaQWHHZix\nhi3q+84loRoAACAxMXONZEawhm3qunMlVAMAACQ2wjWSFa3gsFWkbUGEagAAAGeI97ZwWsFhB2as\nYbtw71wSqgEAAJwl3PGf2+2OxbAA2zBjjagI9c5l9duEagAAAGcIdfzn9/uVkZERs3EBdiBYI2pq\nC9cSoRoAAMBpgh3/GYYRyyHRCg5b0AqOqKreFhRAqAYAAHCmUMd/gJMQrAEAAAAAaADeOkJUVT9R\nWUC8nS0SAAAA1gh1/BdLtGXDagRrRE2ws39L8XspBgAAADRMsOM/v98fwxEB9iBYIyrCXVKLcA0A\nAOAstR3/lZWVxWpYgC0I1rBduFAd6mzhhGsAAIDEFO74z+PxxGJYkjgrOOzByctgq3A71YDqZ4v0\ner3y+XxRGSMAAACsE+nxH+AkBGvYpq47VcI1AABAYiNUI1nRCg5b1HenSls4AABAYkqUUE0rOOzA\njDUs19CdKjPXAAAAiSVRQjVgF4I1LGXVTpVwDQAAkBgI1QCt4LCQYRiW7lRpCwcAAIhviRiqaQWH\nHZixhiVcLpcMwzDvW7VTZeYaAAAgPiViqAbsQrCGJdxut3nb6p0q4RoAACC+EKqBqmgFh6Xs2qnS\nFg4AABAfEj1U0woOOzBjDcukpKTYulNl5hoAACC2Ej1UA3YhWMMSHo8nKu/CEa4BAABig1ANhEYr\nOCwRzXBLWzgAAEB0OSlU0woOOxCskZBChWsAAABYy0mhGrALwRoJi3ANAABgL0I1EBk+Y42EVv0z\n136/v8r1tAEAAFA/hGogcsxYI+FVn7n2+/2xHA4AAEDCc3Ko5jPWsAMz1nCE6jPXAAAAqB8nh2rA\nLgRrOIbL5VJqKr/SAAAA9UWoBuqHKT44SkpKCuEaAACgHpIlVNMKDjuQQOA47LQAAADqJllCNWAX\ngjUAAACQxAjVQMPRCg4AAAAkqWQM1bSCww7MWAMAAABJKBlDNWAXgjUAAACQZAjVgLVoBQcAAACS\nhGEYMgwjqUM1reCwAzPWAAAAQJLw+/3y+/3m/WQL1YBdCNYAAABAEiJUA9ahFRwAAABA0qAVHHZg\nxhoAAABIQl6vVz6fL9bDAByBGWsAAAAgSaSmpsowDPN+4CRmtIQDDUOwBgAAAJJEoA3a5XKZoTrZ\nwjWt4LADreAAAABAknG5XEpL+2uOjbZwoGEI1gAAAEASIlwD1qEVHAAAAEhSgfbvZGoLpxUcdmDG\nGgAAAEhizFwDDUewhuNUPtMlAAAAwiNcAw1DKzgcxTAM+f3+WA8DAAAg4SRLWzit4LADM9ZwDJ/P\nR6gGAABoAGaugfohWMMRfD6f+a4qAAAA6o9wDdQdreBIeNVDdWoq7xcBAAA0hJPbwmkFhx1IIEho\nwUI1Oy0AAICGY+YaiBzBGgmreqhOS0sjVAMAAFiIcA1EhlZwJKRgodrlcrGjBwAAsJgT28KZjIHV\nmLGGJaK5Yw0VqgEAAGAPZq6B2hGsYQm32y3DMGzfDqEaAAAgNgjXQGi0gsMyhmHI5/PZFnQJ1QAA\nALHlhLZwzgoOOzBjDUvZ9c4loRoAACA+MHMN1ESwhiU8Ho952+qdK6EaAAAgvhCugapoBYclfD5f\nlfYWq9qCCNUAAADxKVHbwmkFhx2YsYZlUlJSLH3nklANAAAQ35i5BioQrGEpq3auhGoAAIDEQLgG\naAWHDRraFkSoBgAASCyJ1BZOKzjswIw1bFHfdy4J1QAAAImJmWskM4I1bFPXnSuhGgAAILERrpGs\naAWHrSJtCyJUAwAAOEO8t4XTCg47EKwjsHLlSi1YsEAbN26UJPXs2VODBw+2fDslJSX66quvtG7d\nOmVkZKhr167q27dvnf4IrViH1cLtXAnVAAAAzhLu+M/tdsdmYIBNCNYhPPvss/roo4+0YMECbdmy\npcpjF198saXB2uv16j//+Y8eeOABFRUVVXls77331hNPPKGhQ4favg47hdq5Vr9NqAYAAHCGUMd/\nfr9fGRkZMRsXYAeCdQgvv/yy5s6dK6kimB5yyCF6//33Ld+OYRg6//zzNWnSJElSt27ddNRRR6m4\nuFhTpkzR6tWrdfLJJ+uVV17R+eefb9s6oqG2cC0RqgEAAJwm2PGfYRixHBKt4LAFwTqESy+9VDff\nfLMOP/xwNW/eXHv27FFWVpbl23nmmWfMQHzNNddo4sSJ5h/dtm3bdOKJJ2rhwoW65JJL1L9/f3Xq\n1MmWdURL9Z1rAKEaAADAmUId/wFOwlnBQ7jgggt08sknq3nz5rZtw+Px6M4775QkHXzwwZowYUKV\nd7KaNm2qSZMmye12q7y8XHfddZct6wAAAAAA1B/BOoZmzpxpnhBt3LhxSk2t+d/RuXNnnXzyyZKk\n9957T2VlZZavI5qqn6gsgEsxAAAAOFOo479YCbSCx+ILzkWwjqHPP//cvH388ceHXC7w2O7duzVv\n3jzL1xEtwc7+zXUOAQAAnIurvyBZEKxjaMmSJZIq2rXbtm0bcrlevXqZt3/55RfL1xENoXaqLpeL\ncA3g/9u78/ioqvv/4+/sJGFfZFd2kB1kVRRcAFFRLKhg0RaxVMR+tcpDy09btEXEr1pUbGnFQhUF\nFQW0LiAIKJRVpMgmiCBLDEtIQsBAtjm/P+idbyaZyTb3zvp6Ph55MJl759zzmQzn3vfcM3cAABHI\n1/FfbGxsUGdQAk7g4mVBdPDgQUnSxRdfXOZ6xZcfOHDA9jbKk5WV5XNZdnZ2uY8v753K8r7nEAAA\nAOGlvOO/goKCYHRLElcFhzMI1kGUk5MjSapZs2aZ69WoUcN9+8yZM7a3UZ66detWav3iKjr9h3AN\nAAAQGZj+jWjEVPAgys3NlSQlJSWVuV61atVKPcbONpxS2UGVaeEAAADhjVCNaMUZ6yCqVq2acnJy\nlJ+fX+Z6xT+DUjwg29VGeTIzM30uy87OVqtWrUrdX9VBlTPXAAAA4SlcQjVTweGEqAnW27dv1+rV\nq70ua926tYYPHx7gHl2Ynn3ixAmdPXu2zPWKLy8+pduuNspTp06dSq3v76BKuAYAAAgv4RKqAadE\nTbBeu3atfvvb33pddssttwQlWF9yySX6/vvvdeTIkTLXO3r0qMdj7G7DTnYNqoRrAACA8ECoBqIo\nWHfv3l0PPvig12VdunQJcG8u6Nixo1atWqXjx48rIyND9evX97pe8a/H6tixo+1t2MUYY+ugSrgG\nAAAIbeEYqpkKDidETbAeMGCABgwYEOxueLj22mv1yiuvSJJWrVql22+/3et6n3/+uaQLn42+/PLL\nbW/DDnFxcTLGuAcMuwZVwjUAAEBoCsdQDTiFq4IH0dChQ1W7dm1J0uzZs72uc+LECS1evFiSdOON\nN6p69eq2t2GHhIQE9227B1WuFg4AABBaCNWAJ4K1g9544w29+OKLPgNvcnKyHn30UUnSmjVrNHPm\nTI/l58+f1y9/+Uvl5uYqNjZWf/jDHxxpw05ODaqEawAAgNAQ7qHamgoejB9ErqiZCl5Zu3bt0ooV\nK9y/Fx88du3apRdffNH9e2Jiou6///5SbUyfPl179+5VrVq1NHHiRK/beeSRR7RixQqtXr1aDz/8\nsD755BMNGjRIP/30kxYtWqT9+/dLkp5++ml17drVsTbsEBMT4+igyrRwAACA4Ar3UA04hWDtw4YN\nG3xeRXzjxo3auHGj+/fU1FSvwboiEhMT9cEHH+h//ud/9Prrr2vlypVauXKlR9vPPvusJk2a5Ggb\n/iooKAjIu3CEawAAgOAgVAO+Eax96Ny5s8+riJeUlJTk9f5f/OIXOn78uJKTk8t8fI0aNTRv3jxN\nnTpVn376qY4cOaKkpCS1a9dON910U4W+d9qONvwRyGnZhGsAAIDAiqRQzVXB4QSCtQ/9+vVTv379\n/GpjypQplVq/RYsWPqeMB7KNcOArXAMAAMBekRSqAacQrBG2CNcAAADOIlQDFUOwRlgrGa5dLpeM\nMcHsEgAAQESI1FDNVHA4ga/bQtgr+VVcLpcriL0BAAAIf5EaqgGnEKwREUqGawAAAFQNoRqoPJII\nIkZcXJxiY3mvCAAAoKqiIVQzFRxOIIUgosTExBCuAQAAqiAaQjXgFBIIIg7vBgIAAFQOoRrwD1PB\nAQAAgCgWbaE6GqaCHzt2TPv27ZPL5VJiYqIuv/xyW9o9cOCADh8+XO568fHxGjBggC3bDBcEawAA\nACBKRVuojlTff/+9lixZos2bN2vTpk0e4bdhw4Y6duyYLdt59dVX9eyzz5a7Xq1atZSdnW3LNsMF\nwRoAAACIQoTqyLFo0SJNmTLF/ftFF12kvLw8nT592pHtxcfH64orrvC5vHr16o5sN5QRrAEAAIAo\nQ6iOLG3atNEjjzyiPn36qE+fPmrRooWuu+46ff75545sr1atWlqzZo0jbYcrgjUAAAAQJYwxMsZE\nfaiOtIvdjho1SqNGjQp2N6IaVwUHAAAAooTL5ZLL5XL/Ho2hGnACwRoAAACIQoRqwD5MBQcAAAAQ\nNaLh67YCITc3V/v27VNubq7q1q2rNm3aKD4+euNl9FYOAAAARDHrc9actUZlZWVlqVatWh6f1U9N\nTdUNN9ygKVOmqEePHkHsXXAQrAEAAIAoERsbK2OM+3fCdXCU9x3PderUCUxHqsgYo/r16+viiy9W\nQUGBvv32W/30009atGiRli5dqpdeekkTJ04MdjcDimANAAAARAlrGnRcXJw7VEdbuA6FqeCtWrUq\nc93ib36Ekh49eujtt9/WsGHDVLNmTff9+fn5mj9/viZPnqzs7GxNmjRJLVq00LBhw4LY28Di4mUA\nAABAlImLi/P4PGxhYaGKioqC2COEgzvuuEN33HGHR6iWpMTERI0fP14rV65UYmKijDGaPHlykHoZ\nHARrAAAAIAoRroPnwIEDyszM9PkTri677DLdfffdkqTdu3fr22+/DXKPAodgDQAAAESpaAzX1lTw\nYPxYateurTp16vj8CWdXX321+/bevXuD2JPAIlgDAAAAUSwawzWck5qa6r597ty5IPYksAjWiDih\nerEHAACAUEW4hl2+//579+2LLrooiD0JLK4KjohijJHL5Qp2NwAAAMKOdVXwSL9aeChcFTxSuVwu\nvf7665IuXNCsb9++Qe5R4BCsETGKiorkcrkibvAHAAAIlGgJ1yjt+++/15EjRyRd+FqtWrVqeSzP\nyspSSkqKkpKSvD6+oKBAEydO1DfffCNJGjdunMe08EhHsEZEKCoqcg/8AAAAqDrCdfjJz8/X+vXr\nPe7LyspyL1uzZo3Hsu7du6t27doe982ePVsvvPCCJGnt2rUaMGCAx/KPP/5Y9913n4YMGaJ+/fqp\nUaNGatiwofLz8/XNN9/o9ddf13fffSdJ6ty5s5555hkbKwx9BGuEvZKhOjaWSwcAAAD4I5LDdSRO\nBc/MzPS4GndxWVlZpZatXr1agwYNqtQ26tWrJ5fLpSVLlmjJkiVe14mJidGYMWM0a9assL+6eWUR\nrBHWvIXqaPj8CgAAgNMiOVxHmsTERA0cOLDC65c8Wy1JrVu3drdRchq4JA0bNkyZmZn64osvtG7d\nOh09elTHjh1TTEyMGjRooJ49e+rmm29Wy5Ytq1xHOCNYI2yVDNXx8fFcvRIAAMBGhOvwULdu3VLT\nvStr4sSJmjhxYpnrVKtWTUOHDtXQoUP92lYkIlgjLHkL1XFxcQRrAAAAm0VauI7EqeAIPj6MClsE\ncmD1FaoBAADgDL7nGigbwRq2SEhIkDHG8e0QqgEAAIKDcA34xlRw2MYYo6KiIseCLqEaAAAguCJh\nWjhTweEEzljDVk69c0moBgAACA2cuQZKI1jDFgUFBe7bdg+uhGoAAIDQQrgGPDEVHLYoKirymN5i\n17QgQjUAAEBoCtdp4UwFhxM4Yw3bxMTE2PrOJaEaAAAgtHHmGriAYA1b2TW4EqoBAADCA+EaYCo4\nHODvtCBCNQAAQHgJp2nhTAWHEzhjDUdU9Z1LQjUAAEB44sw1ohnBGo6p7OBKqAYAAAhvhGtEK6aC\nw1EVnRZEqAYAAIgMoT4tnKngcAJnrOG48t65JFQDAABElvKO/xISEoLRLcAxnLFGQPh657LkbUI1\nAABAZPB1/OdyuZSUlBS0fgFOIFgjYMoK1xKhGgAAINJ4O/4zxgSzS0wFhyOYCo6AKjktyEKoBgAA\niEy+jv+ASEKwBgAAAADAD7x1hIAqeaEyS6hdLRIAAAD28HX8FyxMBYcTCNYIGG9X/5ZC96sYAAAA\n4B9vx38ulyuIPQKcQbBGQJT3lVqEawAAgMhS1vFfXl5esLoFOIJgDceVF6p9XS2ccA0AABCeyjv+\nKygoCEa3JDEVHM7g4mVwVHmDqqXk1SILCwtVVFQUkD4CAADAPhU9/gMiCcEajqnsoEq4BgAACG+E\nakQrpoLDEVUdVJkWDgAAEJ7CJVQzFRxO4Iw1bOfvoMqZawAAgPASLqEacArBGraya1AlXAMAAIQH\nQjXAVHDYyBhj66DKtHAAAIDQFq6hmmnZsBtnrGGLuLg4GWPcv9s1qHLmGgAAIDSFa6gGnECwhi0S\nEhLct+0eVAnXAAAAoYVQDXhiKjhs5dSgyrRwAACA0BDuoZqrgsMJnLGGbWJiYhwdVDlzDQAAEFzh\nHqoBpxCsYYuCgoKAvAtHuAYAAAgOQjXgG1PBYYtAhlumhQMAAARWJIVqpoLDCQRrhCVf4RoAAAD2\niqRQDTiFYI2wRbgGAABwFqEaqBiCNcJayXDtcrk8vk8bAAAAVROpoZqp4HACFy9D2Ct5QTOXyxXE\n3gAAAIS/SA3VgFMI1ogIJcM1AAAAqoZQDVQeSQQRIy4uTrGxvFcEAABQVdEQqpkKDieQQhBRYmJi\nCNcAAABVEA2hGnAKCQQRh3cDAQAAKodQDfiHqeAAAABAFIu2UM1UcDiBM9YAAABAlIq2UA04hWAN\nAAAARCFCNWAfpoIDAAAAUSaaQzVTweEEzlgDAAAAUcIYI2NM1IZqwCkEawAAACBKuFwuuVwu9++E\nasAeTAUHAAAAolC0hmqmgsMJnLEGAAAAAMAPBGsAAAAgChUWFqqoqCjY3QAiAlPBAQAAgCgRGxsr\nY4z7d+siZtE0JZyp4HACZ6wBAACAKGGFyvj4/zu/xplrwH8EawAAACDKxMXFEa4BGxGsAQAAgChE\nuAbsw2esAQAAgChlfbba+qx1NHzmms9YwwmcsQYAAACiGGeuAf8RrBFxil/pEgAAAOUjXAP+YSo4\nIooxRi6XK9jdAAAACDvRMi2cqeBwAmesETGKiooI1QAAAH7gzDVQNQRrRISioiL3u6oAAACoOsI1\nUHlMBUfYKxmqY2N5vwgAAMAfkTwtnKngcAIJBGHNW6hm0AIAAPAfZ66BiiNYI2yVDNXx8fGEagAA\nABsRroGKYSo4wpK3UB0XF8dADwAAYLNImxbOVHA4gTPWsEUgB1ZfoRoAAADO4Mw1UDaCNWyRkJAg\nY4zj2yFUAwAABAfhGvCNqeCwjTFGRUVFjgVdQjUAAEBwRcK0cKaCwwkEa9giOTlZkpSfn+/IlbmN\nMXK5XO7fY2NjVVRUVOpdUpfLJWOMjDHKyMiQJBXE1C2z7dMmw9a+AgAA2MXO45jz58+rqKhIxhjl\n5+f72zX3sVllj/+MMe5jRyBSEKxhi+LfHW0NsnaFa29TzK3wXNb9eXl5kqTTSiqz/Tzl2dLHksHf\nzvqdatsu1E/91E/9Fuqnfuq3t/6CmAsBNC7GKDam9LFPZY5jioqK3P0t3m87VOb4zxjjMaUciAS8\nouEYJz9zXV7b1rR0SSqIKftSAkXGns8GFd+5FhUV2bJz9bbDtntHaBfqp37qp36J+qmf+u2u3yhO\ncbEuKVYqMqXbrcxxTPHjJ6eO0yrabvGTMoHGVHA4gWANx1V14PS2Ay2vLZfLpZiYGMXGxioxMVGS\nlBpzpszH/GRqVql/3pT8HHhcXFyVP3NktWXVHA6fKad+6qd+6rdQP/VTvz31V084r8Q4328qVOY4\nJj8/3/2xOTuDbWWP2XzNPATCGVcFh628DaJVeYe5KqE6FNh1tcxwvVAb9VM/9VO/hfqpn/rtqb+s\nUB0q7Dr+A8IZZ6xhO2/TtVwuV4WDcbiGaou/V8sM14MKC/VTv0T91E/9xf+lfuqviHCv39/jv0Bj\nWjbsFpqvdIS9qr5zGe6h2lLVd67DfadqoX7qp37qt1A/9VN/9NTPmWtEs/BLLAgblR1cIyVUWyq7\nc42UnaqF+qmf+qnfQv3UT/3RUz/hGtGKqeBwVEWnBUVaqLZUdFpYpO1ULdRP/RL1Uz/1F/+X+qm/\nuEitP9SnhXNVcDghNF7diGjlvXMZqaHaUt4715G6U7VQP/VTP/VbqJ/6qT966i/v+I+QiUjDGWsE\nhK93Ln2tG2l8vXNd8nak7VQt1E/9EvVTP/UX/7fkbeqn/kisv6zjP4I1Ig3BGgHjbXD1tk6kKmvn\nKkXuTtVC/dQvUT/1U3/xfy3UT/2RXH9Fjv8CjangcELkphiEpLKCcySHakvJaWGWSN+pWqif+qmf\n+kuifuqn/sivPxqO8QBe5QAAAAAA+IGp4Aio8r5uK9Lf0Sx5oRKLr6uFRhrqp37qp/6SqJ/6JeqP\n9PqZCv5/20XkiuwUg5BSkUE11AZeO3m7+mdlvucy3FE/9VM/9Vuon/qpP3rqj+RjO6A4zlgjIMr6\nSq1Q/p5Du5T3lRrlfc9luKN+6qd+6rdQP/VTf/TU7+v4zxhD4EbEIVjDceV9T7Wvr2KIlHBd3k7V\n19VCI2XnSv3UT/3Ub6F+6qf+6Km/vOM/Y0wgu+OBqeBwQmQkF4Ss8gbVsu6LhHcyy9upWkpeLTRS\npoVRP/VTP/VbqJ/6qT966q/o8R8QSThjXYb9+/dr06ZN2rx5szZv3qz09HRJ0ujRozVjxgxbtjF0\n6FDt3bu33PVuvfVWzZw5s8x1cnJy9M9//lMff/yxjh49qqSkJLVt21ajR4/WiBEjAv4uWWUH1Ug7\nc13Rnaol0t65pn7qp37qt1A/9VN/9NRPqEa0Ilj7MGTIEK1YscLrsoyMDNu2k5aWpkOHDpW73smT\nJ8tcvnXrVo0cObJUW9u2bdO7776rIUOGaNGiRapZs6Zf/a2oqg6qkRKuK7tTtUTKzpX6qZ/6qd9C\n/dRP/dFTf7iEaqaCwwkEax/OnTun1q1bq0+fPurTp4+6d++uq6++2rHtjRw5Us8//7zP5dWrV/e5\n7OjRo7rhhht04sQJ1a5dW9OmTdPAgQP1008/af78+frLX/6izz77TLfffrs+/fRTx/9T+zuohnu4\nrupO1RLuO1fqp37qp34L9VM/9ftff7gcrYdLqAacEib/VQPvs88+U3Jysvv38+fPO7q96tWrq0WL\nFlV67O9+9zudOHFCCQkJWrlypS677DL3sr59+6pJkyZ6/PHHtXz5cr377ru64447bOp1aXYNquEa\nrv3dqVrC9eCC+qmf+qnfQv3UT/321J8fE6vEuNC+7gyhGuDiZT4VD9WhLD09XQsXLpQkjRs3ziNU\nWx577DE1b95ckso8K+4EfwbVcLugmV07VUu4XdCE+qmf+qnfQv3UT/321X+uIEH5RaF7yB6Oodqa\nCh6MH0Su0H7Vo1wffPCBe0D7+c9/7nWduLg491nqr776SkeOHLG9HxW90rcd7YZiuLZ7p2oJl4ML\n6qd+6qd+C/VTP/XbX3+ohutwDNWAU3jlh7kNGzZIujCQ9+nTx+d6AwYMcN/etGmT7f0o+Q6cnYNq\nqIdrp3aqllA/uKB+6qd+6rdQP/VTv3P1h1q4JlQDnviMdYjYsmWLbrjhBv3www+KiYlRw4YN1a9f\nP40dO1YdO3b0+bg9e/ZIkpo3b65q1ar5XK9169alHuMUJwbVUP3MtdM7VUuofuaM+qmf+qnfQv3U\nT/3O1J8QU6BzBQmS9N9/C4L+metwD9VcFRxOIFiHiN27d2v37t0ev69evVozZszQvffeq5deesnr\n576PHz8uSWrUqFGZ7Tdu3LjUYyoqKyvL57Ls7GyP350cVEMtXAdqp2oJtYML6qd+6qd+C/VTP/U7\n15cLITp0wnW4h2rAKQTrIKtVq5bGjRunQYMGqUWLFmrUqJGysrK0du1azZo1S4cPH9acOXN0/Phx\nLV26tNQ7XWfPnpVU/sXWii+3HlNRdevWLXcdY0yl2qyqUAnXgd6pWkLl4IL6qZ/6qd9C/dRP/c73\nIVTCNaEa8I1gHWRffPGFx+dnLH379tWECRM0fPhwffnll/rwww+1YMGCUhcoswa48ga14oO+E59P\nCuRnnoMdroO1U7UE++CC+qmf+qnfQv3UT/2Bq99XuA7UFZMiKVQzFRxOCM//DRHEW6i21KxZUwsX\nLnR/dvrVV18ttU5qaqqk8r9n+9y5c+7b1atXr1QfMzMzff4cOHCgUm3ZJVgXNAv2TtUSrAu6UD/1\nUz/1W6if+qk/8PUnxrmUnFDg/v1cQUJA6o+kUA04JWrOWL/xxhv6wx/+4HXZkCFDvIbWUNCkSRMN\nGjRIy5Yt08aNG0str1u3rtLS0nTq1Kky2zl58qTHYyqjTp06lVo/ULyduXZSqOxULYF+5576qZ/6\nqd9C/dRP/cGrv+SZa6frJ1QDFRM1wTonJ0eHDh3yuuzEiRMB7k3lNG/eXJKUn5+vM2fOqEaNGu5l\n7du3144dO3To0KEyp0MXr719+/bOdjiAvIVrJz7vHWo7VUugDi6on/qpn/ot1E/91B/8+gMVriM1\nVDMVHE6ImmD9i1/8QjfddJPXZSkpKQHuTeVYV+WOjY11T/229OjRQ++9955yc3O1c+dOde3a1Wsb\nxb+7ukePHs51NgicDtehulO1OH1wQf3UT/3Ub6F+6qf+0KnfCtdnHQrXkRqqAadETbCuUaOGx5ne\ncHH+/Hl98cUXkqRLL7201IB288036/HHH5ckLVmyxGewXrx4sSSpRYsW6tKli4M9Do6S4drlcqmo\nqMjvnUuo71QtTh1cUD/1Uz/1W6if+qk/9OpPjHMp3sTbXj+hGqg8/oeEuClTprg/Hz169OhSyzt3\n7qzLL79ckvTKK68oIyOj1DofffSRvv76a0nShAkTHOxtcJUc8P29oEm47FQtdl/Qhfqpn/qp30L9\n1E/90VN/NIRqayp4MH4QuSLrf0mIufbaa9WiRQufZ5GnTp2qxx9/XBs3btTp06fd9xtj9PXXX2vU\nqFF68cUXJUlt27bVQw895LWd559/XvHx8crIyND111+vnTt3utt5//33NXbsWElSy5Yt9eCDD9pX\nYBgoLCxUflHlX+bhtlO12LVzpX7qp37qt1A/9VN/9NQfDaEacErUTAWvrHfeeUePPfaY+/fin9l9\n5513tHLlSvfvqamp2rVrV6k20tLSdOjQIdWqVcvrNvbu3at33nlH06dPlyQlJyerbt26ys7O1k8/\n/eRer0ePHlqyZInPr8nq37+/Xn31VU2YMEFbt25Vly5dVL9+feXm5io3N1eS1KhRI33yySch/3ly\nO5R8R9D6nscLn0UqX7juVC3+Toujfuqnfuq3UD/1U3/01E+oBvxDsPbhzJkzPq8ifvbsWZ09e9b9\ne8kLilXUtGnT1KtXLy1btkzbtm1TZmam0tLSJF34ruk+ffpo7NixGjt2rBISEspsa9y4cerataum\nTZumZcuWuaeEX3TRRbrjjjs0depU1atXr0r9DEcxMTGKi4tz71QqGq7DfadqqerOlfqpn/qp30L9\n1E/90VN/tIVqrgoOJxCsfRg9erSuu+66Cq3ra+D5/PPPVVBQ4HN5mzZtNHnyZE2ePFmSlJeXp1On\nTik5OVm1a9eu9H++yy67TEuWLJExRidPnlRSUpLPs+XRwNqJmMICSeWH60jZqVoqu3Olfuqnfuq3\nUD/1U3/01B9toRpwCsHah+rVq/ucel1RTZs2rdT6SUlJatKkiV/blC68G3bRRRf53U4kiIuLU0LM\n/33Po69wHWk7VUtFd67UT/3UT/0W6qd+6o/c+ksiVEem9PR0bd68WXv37pXL5VL16tX1wAMP2L6d\noqIirV27Vvv27VNeXp6aNWuma665JmpP7BGsEfGs73n0Fa4jdadqKe/ggvqpn/qp30L91E/9kV+/\nJZpDdSROBf/yyy/18ssva/PmzTpy5IjHsoYNG9oerBcvXqwHHnhA6enpHvdXq1ZNDz30kJ566ikl\nJibaus1QR7BGVPAVriVF9E7VUtbOlfqp30L91E/91B9pqN+zfm9h2hItoTpSrV+/Xu+//76kCxct\n7t27t/7zn/+UCtl2eO211/SrX/1KklS/fn0NHz5cKSkpWrNmjXbt2qUZM2Zo3759WrRoUVS9rqKn\nUkS9xDiXkhMK3L+fK0hwB20pcneqlri40l/FEQ0HFRbqp37qp34L9VN/NNfvTTSFn0g1cOBALVq0\nSIcOHVJ6ero+/PBDtWvXzvbt7N+/X/fff78k6fLLL9f+/fs1d+5cvfLKK9q5c6ceffRRSRfOaM+e\nPdv27Ycy/hchqpQM15ZI36lafO1cqZ/6qZ/6Ix31Uz/1ew/X0RiqrangwfhxSv/+/TVq1ChdfPHF\njm1Dkp566ikVFBQoMTFRCxcuLPV56meeeUa9e/eWJP3pT39SQUHp4+5IFX3/kwAAAAAAlXL+/Hkt\nXbpUknTLLbd4DfGxsbGaNGmSJOn48eNatWpVILsYVARrRJX8oliP6d+WwsJCFRUVBaFHgVXyQi0W\n6qd+6qf+SEf91E/9Fb8yOODN+vXrdfbsWUnS4MGDfa5XfNlnn33meL9CBRcvQ9QoGaqtKeFn/3tf\ned/zGO68Xf1Uqvj3XIY76qd+6qd+C/VTvxS99Xvjcrmiakp4JF4VPBB27tzpvt21a1ef6zVp0kT1\n69dXRkaGx2MiHcEafin5LqcxJkg98WSMcb8DXSiXClxxyiuKl3Shf0lxBYo1F5bHxsa61y0oKIjI\nnYvL5fJ4R774wQP1Uz/1U79E/dRP/aFaf6HKPqNcJN9n3EvWbwU7b8drLpcrYMGv+PaDccY8Ozs7\n4Nssud3y+lCnTh1nO1MFP/zwg/t28+bNy1y3WbNmysjI0MGDBx3uVeggWMMvOTk57tsulyvowTom\nJsa9E8nNzZUkJSQkKCnp/0J1Xl5eiQspnPzvOknue0qvE74qUhv1Uz/1U39Z64Qr6qf+6Kj/uNd7\nvdWWkJCguLg4xcbGyhhT6sxtII/lrO3m5OSoXr16AdmmpVWrVgHdXlX6EOxjam+KH/fXrFmzzHWt\n5WfOnHG0T6GEYA1bTJ8+PdhdAAAAAOCQc+fOuW8Xf9PGG2t58cdEOoI1/NK8eXMdOHBA0oV3poI5\nhSo7O9v97t+BAwdUu3btoPUFoYvXCcrDawQVwesE5eE14pvL5XKf/SxvSrFdatWqpczMzIBsqzzZ\n2dlBP26uimrVqrlv5+fnKyGh9AWBLXl5eaUeE+kI1vBLfHy8WrZsGexulFK7du2Q/GwKQguvE5SH\n1wgqgtcJysNrpLRAT/+OjY0Nmb9BqPSjsopP/z5z5oxSU1N9rmtdPbxGjRqO9ytUhNfbJAAAAACA\ngLvkkkvct48cOVLmutbyFi1aONmlkEKwBgAAAACUqVOnTu7bZX2N1okTJ3Ty5MlSj4l0BGsAAAAA\nQJmuuOIKJScnS5JWrlzpc73iy6677jrH+xUqCNYAAAAAgDKlpKTopptukiQtXrxYx44d87re7Nmz\nJUl169YlWAMAAAAAosfq1as1Y8YMzZgxQ0ePHvW6ztSpUxUbG6vz58/rrrvuKvV1WtOnT9e6desk\nSVOmTOGq4AAAAACA8PDTTz9p1qxZHvcdOnTIvWzGjBkey+68805dfPHFHvd9/PHHeuGFFyRJAwYM\nULNmzUptp1OnTnruuef0yCOPaOXKlbr00kv1s5/9TCkpKVqzZo3+/e9/S5KGDBmihx56yK7ywkKM\nMcYEuxMAAAAAgKo5duyYGjduXOH1V69erUGDBnncN3nyZHewXrt2rQYMGODz8XPnztXDDz+s06dP\ne9wfGxurCRMm6IUXXlBKSkrFC4gAnLEGAAAAgDBWvXp1PfbYYxVev+TZakm65pprFB9/IR42b968\nzMffc889GjNmjJYtW6Z9+/YpLy9PzZs319ChQ9WkSZPKdT5CcMYaAAAAAAA/cPEyAAAAAAD8QLAG\nAAAAAMAPBGsAAAAAAPxAsAYAAAAAwA8EawAAAAAA/ECwBgAAAADADwRrAAAAAAD8EB/sDiC6GGO0\ndu1affrpp0pLS1NycrLat2+v2267rdwvog/0dgLVV5SWlZWl9957T9u3b1d2drYaNmyogQMH6vrr\nr1diYqJfbW/ZskXPPvtshdZ9+eWX1aRJk6D1Fb59//332rRpkzZv3qyjR49Kkvr3769HHnnE9m1t\n2bJF//rXv3T48GHFx8erdevWGjlypNq1axfQNlA5586d09dff63Nmzfr66+/1rlz5yRJ06ZNU4cO\nHfxu/8CBA3r00UcrtO7UqVPVpUuXMtc5e/asli5dqi1btigjI0MNGjRQv379dPPNNyslJcXv/qK0\nb7/9VuvWrdOhQ4eUnp6u8+fPq379+urVq5eGDx+uWrVq2bq93bt3a/HixTp48KBcLpdatGihESNG\nqFu3bgFtA4BDDBAghw8fNldddZWRVOonPj7ePPXUU8blcoXEdgLVV5Q2f/58U7NmTa/Pffv27c3W\nrVv9an/JkiVe2/b2s2fPnqD2FaVNmTLF1KtXz+tzPnLkSFu3derUKTNixAiv24qJiTG/+c1vTH5+\nvuNtoHLS09NNjx49THx8vNfnfe3atbZsZ8uWLRUeS1asWFFmW5988olp2LCh18c2bdrUfP7557b0\nGRcsWrTI5/Nt/VSvXt387//+ry37+tzcXDN+/Hif27rzzjtNTk6O420AcBZnrBEQWVlZGjJkiL79\n9lvFx8frl7/8pQYMGKCcnBy98cYb+uqrrzR16lTl5+dr2rRpQd1OoPqK0hYuXKi7775bxhi1bt1a\nEyZMUOPGjbV9+3a9+uqr2rt3rwYPHqwNGzbYcqZv1qxZatSokc/lTZs2DZm+4oJvvvlGp06dUqtW\nrdSnTx/16dNHjz32mAoKCmzdTl5enoYPH67169crJiZGo0eP1uDBg5WXl6d3331Xq1ev1qxZs5ST\nk6N//vOfjrWByjt79qy2bdum5ORk9e7dW3369NGpU6f05ptvOrbNJ598Up06dfK5vGvXrj6XrVq1\nSrfccosKCgrUuHFj3XfffWrVqpX27dunv/3tb0pLS9ONN96oVatWqX///k50P+r88MMPOn78uCSp\nXbt2uvHGG9WxY0clJydr586dmjdvno4fP65HH31UP/74o2bOnFnlbRljdOedd2rp0qWSpBtuuEEj\nRoxQbGys/vWvf+mDDz7QggULdOrUKX388ceKi4tzpA0AARDcXI9oMWnSJPcZmg8//NBjWUFBgfnZ\nz37mXr5t27agbidQfYWnjIwMU6tWLSPJ9OzZ05w+fdpj+TfffGNSU1ONJDNo0KAqb6f4Gevvvvsu\npPuK0r755huTkZHhcV9SUpLtZ6yfeeYZ9+tk9uzZpZZb44Qk89FHHznWBirv7NmzZuvWraagoMB9\n3+zZsx09Y7169eoqtXH+/HlzySWXGEmmRYsWJj093WP5oUOHTKNGjYwk06FDB1NYWGhDz/Hcc8+Z\nfv36mc8++8zr8oyMDNOzZ0/333fdunVV3tb8+fPd7Tz++OOllk+fPt29/G9/+5tjbQBwHsEajjtx\n4oRJSEhwT1XyJiMjwyQnJxtJZtSoUUHbTqD6itKmTp3qPjDYvHmz13Wefvppvw907AjWgeorKsbu\nYJ2Xl2fq1KljJJmrrrrK6zrnz583jRs3NpJMv379HGkD9gnVYD1nzhx3G4sXL/a6zuuvv+5e5+23\n3/ajx7AcO3as3Cne27Ztcz/vEyZMqPK22rdvbySZdu3aeX1jxOVymW7duhlJpnnz5l77ZUcbAJzH\nVcHhuKVLl7qnad57771e16lXr55GjBghSfrkk0+Um5sblO0Eqq8obdGiRZIuTJns3bu313XGjx+v\nmJgYj/WDIZz6isr7/PPPlZWVJcn3OJCUlKSxY8dKkjZu3KgjR47Y3gYinzU2NGjQQDfffLPXde64\n4w7VqFHDY334p2HDhu7x2Zfu3burXr16ki5cMKwqduzYob1790qSfvnLX3qdoh0TE6N77rlHknTk\nyBFt2rTJ9jYABAbBGo778ssvJUmJiYllfj5s0KBBkqTc3Fxt2bIlKNsJVF/h6dSpU+4DF+u59aZh\nw4buq/l+8cUXgehaKeHUV1SNNQ5IZf+Niy8r/hi72kBkM8Zo3bp1kqQrr7zS5+dik5KS1K9fP0mM\nJYFmvdFujKnS46syDpT8G9vRBoDA4OJlcNyuXbskSS1btlS1atV8rlf86092796tgQMHBnw7geor\nPFnPuyRdeumlZa7boUMH7dmzR3v37pXL5VJsbNXfH1ywYIGOHTumrKws1axZU+3bt9eQIUPUuXPn\nkOsrAsf6G6emppb51XolxwG720D4+Oijj7R48WJlZGQoNTVVrVu31jXXXKM+ffr4fMzBgwfdM54q\nMpasWLFCGRkZOnnypBo0aGBr/1HaV199pZycHEnl/318qej+on379oqJiZExxudY4k8bAAKDYA3H\npaWlSSr7Cssll1vfSxvo7QSqr/BkPe9SxZ/7c+fO6dSpU34dYE6dOtXr/UOHDtWcOXO8BqJg9RWB\nw1iCynrhhRe83t+3b1/NnTtXHTt2LLWsKmOJdOF1wljivKeeesp9e8yYMVVqw/obp6SkqHbt2j7X\nS0pKUr169ZSRkeFzLPGnDQCBQbCG486cOSPpwpmbshRffvbs2aBsJ1B9hSfreZcq/9xX5QCzevXq\nGjx4sLp06aJLLrlE8fHx2r9/vxYtWqRvv/1Wy5cvV+/evbVhwwa1bNkyqH1F4FV0HEhKSlJ8fLwK\nCwurPJaU1QZCX1JSkq655hr17NlTF198sVJTU3Xw4EEtXbpUW7du1aZNm9S3b1998cUX6tmzp8dj\n/RlL4Ky5c+fqo48+kiRdf/31uuaaa6rUTkXHAWudjIyMKo8lZbUBIDAI1nBcfn6+JCk+vuyXW2Ji\novt2Xl5eULYTqL7Ck/W8S84/91dccYXS09NVvXr1UsuefPJJPfnkk/rTn/6k48eP6+6779batWuD\n1lcER0XHAUlKSEhQYWFhlceSstpAaGvXrp3S0tLcF7gq7oknntBf//pXPfDAAzp79qxGjx6t3bt3\ne7weGEtC04YNG3T//fdLunBRuXnz5lW5rcqMA9bf2J+xxFcbAAKDD/zBcSkpKZLKH+jPnTvnvl2R\nd2ad2E6g+gpP1vMuOf/cN2jQwGuolqTY2Fj98Y9/1G233SZJWrdunTZv3hy0viI4KjoOSNL58+cl\nVX0sKasNhLaaNWt6DdWW+++/Xw899JAk6bvvvtOHH37osZyxJPTs2bNHw4cPV15enlJSUvTBBx+o\nUaNGVW6vMuOA9Tf2Zyzx1QaAwCBYw3G1atWSJGVnZ5e53unTp923a9asGZTtBKqv8GQ971JoPPeT\nJk1y316zZo3HslDrK+xX0XEgJyfHfbXgqo4lZbWB8MdYEj4OHjyowYMH69SpU0pKStLSpUvL/HaQ\nirD+xjk5OXK5XGWua/2NfY0l/rQBIDAI1nBc69atJUmHDh0qc73iy9u0aROU7QSqr/BkPe9SxZ/7\n+vXrexyY2ql9+/bu2+np6R7LQq2vsJ/1N/7xxx9VWFjoc72KjCX+tIHw16pVK/cU3pJjSfG/d0XH\nktjYWLVq1crmXiItLU3XXnut0tLSFB8fr7fffluDBw/2u11rHCgsLNSPP/7oc72srCz3Z6l9jSX+\ntAEgMAjWcFzXrl0lXdhxnThxwud6X3/9tft2ly5dgrKdQPUVnjp06KCEhARJ0rZt28pc11ru5PNe\nfMpd8c82SqHXV9jPGgcKCwu1Y8cOn+tVZCzxpw2Ev8LCQhUVFUkqPZbUq1dPjRs3llT+WGK9Tlq3\nbq3k5GQHehq9Tpw4oWuvvVYHDx5UbGys5s+frxEjRtjStjUOSGX/jSsylvjTBoDAIFjDccOGDXPf\n/vTTT32uZy1r1qxZlXYKdmwnUH2Fp2rVqunqq6+WJK1cuVIFBQVe1/vqq6908uRJSdINN9zgWH/W\nrVvnvl3ynf9Q6yvsV3wc+OSTT3yuZ40DKSkpGjRokO1tIPytX7/ePdXf21lE63WyadMmZWZmem0j\nLS1N33zzjSTGErtlZWVp8ODB2rt3r2JiYjR37lyNHj3atvaHDBmiuLg4SRUbByTPscOuNgAEiAEc\nlpeXZ5o2bWokmW7dupmCgoJS66xfv95IMpLMlClTgradQPUVpb355pvu53XOnDle17n99tuNJJOY\nmGgOHz7sSD/OnDljOnToYCSZ+Ph4c/To0ZDtKy5ISkoykszIkSNta7NHjx5GkmnWrJk5c+ZMqeX7\n9+83iYmJRpK56667HGsD9pg9e7b7/+zatWsDss2CggJz5ZVXurf71VdflVrniy++cC+fOnWq13Ye\nfvjhMttA1eTk5JjevXu7n9u///3vjmznpptuMpJMjRo1zI8//lhqeUZGhqlbt66RZK6++mrH2gDg\nPII1AuIf//iHe+c1fvx4c+7cOfeyXbt2mRYtWhhJpl69eiYzM9NrGxMmTDAjR440EyZMcHQ7drSB\nyisqKjLdunUzkkzNmjXNypUrPZbNmDHD/Xd5+OGHvbaxYcMGM3LkSDNy5Ejz4Ycfllp+7NgxM336\ndLNz506vj9+2bZvHgdZDDz3kWF9hn8oG6ylTprhfJ74sW7bM/TccPny4OX36tHvZ4cOH3X//atWq\nme+//96xNmCPygbrffv2uV8j8+bNK7U8Pz/f/P73vzdbtmwxLper1PLvvvvODBkyxL3NUaNG+dzW\nsGHD3G/CvfPOOx7L5s2bZ+Li4owkc/vtt5dfKCokNzfXXHXVVe6/z0svvVSldp5//nn36+TUqVNe\n19m+fbuJj483kkz//v3N8ePH3csyMjLM1VdfbSSZ2NhYs2HDBsfaAOC8GGP+O0cJcNivfvUrvfba\na5IufOVRr169lJOTow0bNsjlcikpKUnLly/XwIEDvT6+WbNmSktLU9OmTXX06FHHtmNXG6i8AwcO\nqH///u7Pt/fo0UNNmjTRjh07dPjwYUnSwIED9dlnn5X6vKIkvffee+6vynruuec0efJkj+X79+9X\n27ZtJUkXXXSRmjRpokaNGikuLk7fffed9u3b51531KhRWrhwoc/vDvW3r6iajRs36vnnn/e4b8mS\nJXK5XGratKn69evnsezdd99VbKznp5769eunTZs2SZLK2gU+9dRTevLJJyVduDJv3759lZeXpw0b\nNig/P1+xsbFauHChbr/9dkfbQOX9/ve/1549e9y/HzhwwP351EGDBnl8TdawYcM0fvx4j8dv3LjR\nfUXoBx98UC+++KLH8vPnz7s/61y3bl01bdpUjRo1UrVq1fTDDz9o586d7tfWoEGD9K9//cvn1/xl\nZGSof//+2r9/vySpY8eOatmypceY1KlTJ/373//mIog2mTJlimbMmCHpwt/P+niPL3Xq1NGcOXNK\n3T9q1Ci9//77kqQjR46oWbNmXh//2muv6Ve/+pUkKTk5WZdffrliYmK0YcMG/fTTT5KkF198UQ8+\n+KDPPtjRBgCHBTfXI5q4XC7zyiuvuKdaWz8xMTHmqquuMtu3by/z8dbjmjZt6uh27GoDVZOWlmZG\njRplEhISPJ772rVrm9/97nfm/PnzPh+7aNEi9/rPPfdcqeVnzpwxTzzxhOnVq5eJjY31aN/6+/bp\n08csWLDA8b6iaor/jSvy4+3jHH379nUvL8+CBQtM69atS7Xbs2fPCk8ptqMNVM4VV1xR4dfIpEmT\nSj1+w4YN7uUPPvhgqeVFRUVm2rRpZsCAAe4ziSV/OnfubGbPnm2KiorK7W9mZqa55557TLVq1Tza\nSElJMffdd5/Jycmx42nBf02aNKlS40jDhg29tjNy5Ej3OkeOHClzm8uXLzddunQp1XaHDh28zrBy\nqg0AzuGMNQLO5XJpx44dOnr0qJKTk9W+fXs1bdq03Md98sknys3NVUpKSoUu4FLV7djdBqomMzNT\nu3btUnZ2tho2bKhu3bopKSmpzMekpaVpw4YNki5cSbVdu3Y+1z19+rQOHz6s9PR05efnq06dOurU\nqZNq164dkL6iaor/jSti5MiRiomJ8bhv9erVOnXqlKQLZ5wqYvfu3Tp8+LDi4uLUpk0btWzZsuKd\ntrENVMyaNWuUkZFRoXXbtGmj7t27e9yXmZmpVatWSZLatm2rbt26+Xz82bNndfjwYf3444/Kzc1V\n7dq1demll6pBgwaV7veZM2e0Y8cOnTp1SvXr11fXrl2Vmppa6XZQtv/85z/uGQIVUa1aNd10002l\n7t+4caN7Bt2NN95YoSu279+/XwcOHJAxRi1atPD4eseKsqMNAPYjWAMAAAAA4Ae+bgsAAAAAAD8Q\nrAEAAAAA8APBGgAAAAAAPxCsAQAAAADwA8EaAAAAAAA/EKwBAAAAAPADwRoAAAAAAD8QrAEAAAAA\n8APBGgAAAAAAPxCsAQAAAADwA8EaAAAAAAA/EKwBAAAAAPADwRoAAAAAAD8QrAEAAAAA8APBGgAA\nAAAAPxCsAQCogGnTpunee+/V1q1bg90VvyxYsED33nuvFi1aFOyuAAAQMWKMMSbYnQAAIJStWbNG\nV199tZo1a6b9+/crKSkp2F2qsh07dqhbt26qXbu29u/fr7p16wa7SwAAhD3OWAMAUAaXy6WHH35Y\nkvT444+HdaiWpC5dumjkyJHKysrSH//4x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          }
        }
      ],
      "source": [
        "# Define wavelength/frequency ranges\n",
        "ldas = np.linspace(0.4, 0.9, 101)\n",
        "lda0 = ldas[50]\n",
        "freqs = td.C_0 / ldas\n",
        "freq0 = td.C_0 / lda0\n",
        "\n",
        "# Refractive indices\n",
        "n_c = 1\n",
        "n_f = 2\n",
        "n_s = 1.45\n",
        "\n",
        "# Materials used\n",
        "air = td.Medium(permittivity=n_c**2)\n",
        "top_medium = td.Medium(permittivity=n_f**2)\n",
        "bottom_medium = td.Medium(permittivity=n_s**2)\n",
        "\n",
        "# Define geometries and their structures\n",
        "hole_length = 0.11\n",
        "hole_depth = 0.6\n",
        "hole_spacing = 0.21\n",
        "top_thickness = 0.2\n",
        "\n",
        "inf = 10\n",
        "\n",
        "holes_list = []\n",
        "for h in range(6):\n",
        "    holes_list.append(\n",
        "        td.Box(\n",
        "            center=(hole_depth + h * hole_spacing, 0, 0), size=(hole_length, inf, 2 * hole_depth)\n",
        "        )\n",
        "    )\n",
        "holes_geos = td.GeometryGroup(geometries=holes_list)\n",
        "holes = td.Structure(geometry=holes_geos, medium=air)\n",
        "\n",
        "top_geo = td.Box.from_bounds(rmin=(-inf, -inf, -top_thickness), rmax=(inf, inf, 0))\n",
        "bottom_geo = td.Box.from_bounds(rmin=(-inf, -inf, -inf), rmax=(inf, inf, 0))\n",
        "\n",
        "top = td.Structure(geometry=top_geo, medium=top_medium)\n",
        "bottom = td.Structure(geometry=bottom_geo, medium=bottom_medium)\n",
        "\n",
        "# The injection used in the paper is a plane wave source\n",
        "source = td.PlaneWave(\n",
        "    center=(hole_depth * 0.1, 0, -top_thickness / 2),\n",
        "    size=(0, inf, top_thickness),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freqs[0] - freqs[-1]),\n",
        "    direction=\"+\",\n",
        ")\n",
        "\n",
        "# Add monitors\n",
        "reflection = td.FluxMonitor(\n",
        "    center=(hole_depth * 0.05, 0, 0), size=(0, inf, inf), name=\"R\", freqs=freqs, normal_dir=\"-\"\n",
        ")\n",
        "transmission = td.FluxMonitor(\n",
        "    center=(hole_depth + 7 * hole_spacing, 0, 0), size=(0, inf, inf), name=\"T\", freqs=freqs\n",
        ")\n",
        "\n",
        "# Define the simulation of adequate size\n",
        "sim_size_x = hole_depth * 1.1 + 7 * hole_spacing\n",
        "sim_2d = td.Simulation(\n",
        "    center=(sim_size_x / 2, 0, -hole_depth / 3),\n",
        "    size=(sim_size_x, 0, 4 * hole_depth),\n",
        "    medium=air,\n",
        "    structures=[bottom, top, holes],\n",
        "    sources=[source],\n",
        "    monitors=[reflection, transmission],\n",
        "    boundary_spec=td.BoundarySpec(\n",
        "        x=td.Boundary.pml(), y=td.Boundary.periodic(), z=td.Boundary.pml()\n",
        "    ),\n",
        "    grid_spec=td.GridSpec.auto(wavelength=lda0, min_steps_per_wvl=30),\n",
        "    run_time=150 / freq0,\n",
        ")\n",
        "\n",
        "# Visualize the simulation to check\n",
        "sim_2d.plot_eps(y=0)\n",
        "plt.show()"
      ],
      "id": "8ed56f59"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next we calculate the variational effective indices at different steps\n",
        "in our input wavelengths. We will then fit a dispersive material to this\n",
        "data using Tidy3D’s FastDispersionFitter.<br><br> To speed things up, we\n",
        "will reduce the number of times we need to solve for the mode, so we\n",
        "will downsample the wavelength points. Here we calculate the effective\n",
        "permittivity at every fifteenth wavelength."
      ],
      "id": "7c02d365-0850-453d-a492-76d54b1b0b6d"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          "output_type": "display_data",
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        {
          "output_type": "display_data",
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X48KFC7h+/TrS0tLEZe7u7gYNWEFBQZg2bRq2bdsmGUetefPm+PHHH9GiRQut\n669duxZ//pnzqS1nZ2cGrLeop24YsmWI2HYn4g6mHJyCf7r/I2NlRERUUpSogLV3714sXLgQAGBh\nYQFvb288evQIERERBh3n1q1baN26NSIjIwEAlSpVQv369WFhYYF79+7h1q1bOHPmDNq0aYO1a9di\n0KBBOrdlZWWFgQMH6lxuZ2enc1lJNvjdwdj3cB9WXFshti28tBBdqndBr1q9ZKyMiIhKghIVsLy9\nvbFgwQI0adIEDRo0gJmZGVq0aGHwgPXBBx+I4erXX3/F5MmToVS+ubtt37596N+/P5KSkjBhwgR0\n69YNNjY2Wrfl4OCA5cuXG7S+kmJ+1/k4/fQ0HkU/EtvG7xyP6+9dh2tpVxkrIyKi4q5EXeTetWtX\nfPDBB/D09ISZmVmBjBEZGYmTJ08CALp06YLPP/9cEq7UdXz55ZcAgNevX+PYsWMFUktJV9qiNNb0\nW6MxdcPo7aM5dQMR5Sg0NBT+/v7YuHGj3KUUitjYWPj7+8Pf3x8hISEFMsamTZvg7++PgIAAjWWv\nX7+Gv78/VqxYAUEQCmT8wlSiAlZheP36tfi6cePGOvt5enqKr2NiYgqypBLNu6I35rSZI2k79PgQ\np24gohxNmTIFfn5+uHHjhtylFIpXr17Bz88Pfn5+uHnzZoGM8eWXX8LPzw/r16/XWGZnZ4dFixZh\nzJgxWLNmTYGMX5gYsAzMzc0NFhYWAICnT5/q7BccHCy+rlGjRoHXVZJNbzEdrdxbSds4dQMRZePC\nhQtYt24d7Ozs8Pnnn8tdTokxZ07mH8QzZsxAUlKSzNXkDwOWgZmamuLDDz8EAGzcuBEXL17U6BMe\nHo6ffvoJAODj4wNvb+9st3nv3j1s374d69atw4EDB/Dy5UvDF16MKU2UWNV3Fewt7cU29dQNiWmJ\n8hVGREbr888/hyAImDx5Muzt7eUup8To3r07PD098ezZM/z+++9yl5MvJeoi98Ly/fff49WrV1i9\nejWaNWuGwYMHo1GjRjA3N8f9+/exatUqvH79Gp6enti0aRMUCoXObT1//hzvvPOORruPjw9mzZqF\nLl265KnG6OhoncuK4ylL9dQNgze/mdKCUzcQkTYXLlzA6dOnoVAoMG7cOLnLKXHGjx+PS5cuYf78\n+fjiiy8K7JrpgsYjWAXA0tISq1atwp49e2Bvb481a9ZgypQp+Pjjj/H3338jISEBP//8MwICAlCx\nYsVst1W2bFk0bdoUgwYNQp8+fVClShUAQEBAALp27SoeTs0tR0dHnV9Vq1bNeQNF0KC6gzCm4RhJ\n28JLC7Hz3k55CiIio6SezqdNmzZwc3OTuZqSZ9CgQTA3N8fLly+xbds2ucvJMx7BKgAqlQpTpkzB\n/PnzkZ6ejkqVKsHLywvm5ua4c+cOrl27hi+++AJHjhzB+vXrtR5+7ty5M4YPHw5PT0+NI1wHDhzA\n+PHj8fz5c8yePRu1a9fOdi4teuOvLn/hVPApTt1AVMSsWLECaWlp8PT0RMOGDQFkXpR96dIlREVF\noVKlSmjatCnMzc3zNc7r16+xYcMGAMCwYcNyXdPz589x5coVJCQkoHbt2qhfv77GeiqVCpcuXcLj\nx49hYWGBZs2awdnZWa/64uPjcf78eYSFhcHc3Bzu7u5o3Lixxt3q2Xnw4AGuX7+O9PR0VK9ePdsb\nsnQRBAHXrl3D48ePkZCQgDJlyqBJkyZwcnLK9bbe5ujoiC5dumDnzp1YvHhx0f18E0q45s2bCwAE\nd3d3g21zxIgRAgDBxMRE+Oeff4SMjAzJ8mPHjgllypQRAAj16tUTkpKScj3GvXv3hFKlSgkAhBo1\nauR6/aioKJ1fjx8/FgAIAISoqKhcb9vYnQ85L5h+YypgNsSvjis7ChmqjJxXJtLi0aNHwu3bt4VH\njx7JXUqxZW1tLQAQvv32WyE1NVX4+OOPBXNzc/F3FQChXLlywtatW/M1zvbt28Xt3bt3T++aEhMT\nhbFjxwpKpVJSU7t27YSXL1+K6xw5ckSoVauWpI9SqRRmzJiR7Vjh4eGCr6+vxnsGIJQtW1b47bff\nND5r3vbgwQOhXbt2GuvXq1dPuHr1qvDgwQOxbd++fVq3kZ6eLsybN09wdXXV2I6JiYkwYMAA4enT\npzprqFatmgBA+OSTT7Kt9bfffhMACKampkJcXFy2fbXJy89kVFSUQT/7GLAMHLDOnDkj/g/67LPP\ndPbL+kP8+++/52ms9957T9zG3bt381qyBkN/kxmj709+LwlYmA3ht7O/yV0WFVEMWAVPHWa++eYb\noXfv3oJCoRCaNGkijBgxQujatatgYWEhhpVjx47leZxPP/1UACA4OjrmqqYOHToISqVSaNWqlTBy\n5EjxswWA0LhxYyEtLU3Yt2+fYG5uLpQtW1bo37+/MHToUMHFxUXs9/PPP2sd59mzZ2IwASDUrFlT\nGDp0qNC3b1/B0dFRbB84cKDOkHXv3j2hXLlyYt+GDRsKI0aMELp16yZYWVkJpUuXFnbt2pVtwEpK\nShK6du0q9ilfvrzQt29fYdSoUUKLFi0EExMTAYDg4uIi3L9/X2sd+gass2fPiuPs378/+/8RWjBg\nGQFDB6wvv/xS/B90/fp1nf1UKpX4g9GuXbs8jbVixQpxrD179uS1ZA0lIWClZ6QLrZe1lgQs82/N\nhSuhV+QujYogBqyCpw4zVatWFZydnYWzZ89Klt+8eVNwcnISAAheXl55HsfLy0sAIHTs2FHvmipX\nrixUqFBBuHLlimT5ypUrxd+lCxYsEFxdXQVfX1/JWYv4+HihWbNmAgChdOnSQkJCgsY4rVq1EsPj\nkiVLJMvi4+OFIUOGiOP89NNPGuurVCrB29tbACBYWFhoHOULCwsTWrRoIbi7u2cbsCZOnCgAEMzN\nzYUlS5ZohLkrV64Ibm5uAgDBw8NDUKlUGtvQN2AlJyeLRwNnzpyZbV9tjCFg8RosAwsNDRVfV6pU\nSWc/hUKBihUrIioqSrJObmS91kDbA6VJN/XUDfUX1UdMcgyAzKkbhm4ZissTLsPKzEreAqlYUszR\nfcdwcSHMKtgZuB8/foxjx46hadOmkva6deti+vTpmDp1Ki5evIinT5/m6QJ19fyFLi4ueq8TFBSE\n06dPi9dhqY0cORL//PMPAgICMGnSJHh5eWHx4sUwMXlzf5m1tTV+/vlntGjRAnFxcTh8+DB69Xrz\nvNQjR46ITweZMWMG/Pz8JGNYW1tj1apV4vW9P/74Iz788ENYW1uLfQ4ePIjz588DAH766Sf07dtX\nsg1nZ2fs2LEDNWvW1Pke79y5gyVLlgAA/vrrL406AKBhw4bYvHkzmjRpgsDAQBw8eBCdO3fObtfp\nZGFhAQcHB0RERGQ7p6Qx412EBmZrayu+joqKyravennp0qXzNNbt27fF1+XLl8/TNkqySnaVsKTH\nEknb3Yi7+PwAJxUkMlaenp5o06aN1mXdunUTX1+/fj3X2xYEQXyObG4u1vby8kLz5s21LmvXrh2A\nzAvbP/nkE0m4UmvatCksLS0BaNa9adMmAJl/UH/66adaxzA1NcXUqVMBZE7Bc+TIEcnyrVu3Asj8\nrJkwYYLWbTg6OmL8+PFalwEQH19TtmzZbPt5eXmJQXP//v06++nD0dERQObNDEURj2AZWNY7Rvbs\n2YNJkyZp7Xft2jXxWU8NGjTI9TgJCQlYtmwZAMDe3h6NGjXKQ7U0sO5AjH04FsuuLhPbFl1ehC7V\nu6D3O71lrIyItHn7yFVWWY9YRURE5HrbcXFxSE9PB5D52BZD1JT1j18fHx+tfUxMTODi4oKgoCCN\nui9dugQg8+iQg4ODznE6dOggvr548aLkKJh6G02aNEGpUqV0bqNNmzb4+eeftS47ffo0AKBMmTJY\nvXo1AEieF6h+LQiCeOf7w4cPdY6lD/Ud9jkdrDBWDFi5dP78edy5cwcA0LNnT42/cvr06YNPP/0U\ncXFxmDVrFlq1aqURoCIiIjB27Fjx3yNHjpQsDw4OhqmpKSpUqKC1hsjISAwZMkQMaJ9++ilMTfm/\nMq/+6voXTj09hYdRb34ZjN85Hl4VvFC+NI8MEhmTMmXK6FymPgoEACkpKbnetrW1NUxMTKBSqRAf\nH6/3etkd7VI/Ok3ffm/XrT56k90lJ0DmaT5zc3OkpqZqHPFR/zuneRezW/7ixQsAmacKs35+ZSfr\ns3nzQv3/IOuZoaKkRH0qx8fHY/PmzZI29TdefHw8li9fLlnWvXt3lC1bVtK2atUqLFiwAEDmXwlv\n/8A4OTnhjz/+wPjx4xEdHY0mTZpg4MCB8PHxgZmZGe7cuYPVq1eLh6EnTJiAli1bSrZx6NAhTJgw\nAY0bN0aTJk3g4uICZ2dnpKSk4OrVq9i8eTNiY2MBAJ06dcL06dPzt2NKOBtzG6zttxbN/muGdFXm\nX6+RSZEYvX00Dow4ABMFz6STYRT09UklgbZTbNpkPbqiL6VSCQcHB0RGRubqqIm+NenT7+26MzIy\nxNpyou6jXkdNpVLptY3slquDX/Xq1dG6descawHy/5xd9f+Dtz+Hi4oSFbDePnKUVWRkpMayc+fO\n5el/7Lhx42BjY4PJkycjNDQUa9as0XgyuLW1NaZNm4YZM2ZorF+5cmW4ubnh0qVL4qHdt9na2uLT\nTz/FzJkzi+xjBIyJVwUvzGkzBzOPzhTbDj8+jHnn5uHzZrwmi6ikKF++PCIjIxEeHi53KQAyr0N6\n8eJFjs+gjY2NFR+OrL52Sc3BwQEvXrzI8T1ld61TmTJl8OLFC1SuXBn+/v56Vp93KpVKDFhF9Rrj\nEhWwbGxsMHr0aL37awtXPj4+4mHL7A5VDxo0CH379sXhw4dx4cIFvHz5EhkZGXByckKDBg3QpUsX\nnef4O3TogKCgINy5cwdnzpzB8+fPERYWBhMTE5QtWxYeHh5o37695C4Ryr9pzafh4KODOBF8Qmz7\n8siXaFelHRq58ho3opKgadOmuHHjBq5duyZ3KQAyr+u9efMmrly5gpSUFMkpx6zOnTsnvn77spT6\n9evj1q1buHjxIlQqlc4jaeo7DbVp3Lgxrl+/jnPnziEpKSnba7kM4ebNm0hNTQWQ/TVuxqxEBawy\nZcponAbMrREjRmDEiBF69TUzM0PXrl3RtWvXPI1Vu3Zt1K5dO0/rUu5pm7ohTZWGYVuHceoGohKi\ndevWWLJkCZ49e4bQ0FC4usr7CK3u3btj7dq1iI2NxZo1a3Q+fFp96Yq5uTk6duwoWda1a1esW7cO\nYWFh2L17t+QCeLW0tDT8999/OusYNGgQli1bhoSEBPzxxx/48ssv8/GuchYQECC+btWqVYGOVVB4\ncQlRFrqmbvjswGcyVUREhaldu3biEZ6zZ8/KXA0wcOBAVK1aFQAwZcoUXLlyRaPPn3/+iV27dgEA\nxo4di3LlymlsQ32R/AcffIBHjx5JlqtUKkyePFm8kF2bLl26iNNjfP3119mGMQC4evVqvu7+Ux+R\nq1+/vsb7KSpK1BEsIn1om7ph8eXF6Fq9a66nbggMBDw8cl9DXtcjovxxcXFBt27dsHv3bmzYsAH9\n+/eXtR4zMzOsXbsW7du3R3R0NHx8fDB06FA0btwYycnJ2LNnD06cyLys4d1338Wvv/6qsQ1LS0v8\n999/6NatG54/f46GDRti5MiRqFu3LmJiYrBp0yZcu3YNCxYswIcffqizlg0bNqBVq1a4d+8exo8f\njz/++APdunWDm5sbkpOT8fLlS4SEhOD48eN48eIFLl68qHE9mD5SU1OxY8cOAICvr2+u1zcWDFhE\nWhhi6obZs4E5c4ClS4Hc/I7w9wf8/IBZszK3QUSF6/3338fu3buxa9cuxMTEiPMxycXb2xvHjx/H\n+PHjcf36daxYsQIrVqyQ9Bk4cCAWL14MGxsbrdvo0KEDtm3bhnHjxuHVq1dYuHChuMzCwgIrVqxA\ns2bNsq2jXLlyuHDhAqZOnYrly5fjxo0buHHjhkY/hUKBRo0a5Wqy1qx2796N6OhoWFlZYdSoUXna\nhjFgwCLSIr9TNwQGZoYrIDMsAfqFLHW4AjLX79WLR7KIAGDMmDFITk7OdlJlExMTcZbx/Fy/2qVL\nF1SvXh0PHz7E+vXr8d577+W5pnfeeUesKbs7vgcOHIjQ0FC0aNFC63JPT09cuXIFp0+fxsmTJxEW\nFgYzMzNUqVIFnTt3Rq1atXJ8X927d8fDhw+xfft2XLt2Denp6ahevToGDRqEcuXKITw8XKxV17xb\ntra2WLx4Mb777jscPnwYN2/eRHR0NGxsbODs7IxKlSqhdevWcHZ21rr+oEGD8OrVq2wvXFdfKz1q\n1KhcTfhqbBRCXiYLoWItOjpaPKwbFRWV7ezBxd3cU3Mx46h0Ko1fO/6q19QNWcMSkPORrNz2J+Px\n+PFj8Q4v9fUyVLRt3rwZAwcORJUqVXDv3j1Oh1NIrl27hkaNGsHKygoPHjzI800GefmZNPRnHy9y\nJ8rGF82/QGt36aR6Xx75EldCNS80fZuvb2ZIUvPzywxR2jBcERmXAQMGoEWLFnjy5In4WDIqeLNm\nzYIgCJg+fbrsd3DmFwMWUTbUUzc4WL75S0Y9dUNiWmKO6+sTshiuiIzT/PnzMX78eISFhcldSonw\n+vVrlC1bFu+99x4+/7zoT/DMU4SkgacINW2+vRkDNw2UtE1sPBGLeizSa31dIYrhqnjgKUIi48JT\nhERFxIA6AzCuoXSCv8WXF2P73e16ra/tSJaPD8MVEVFxxYBFpKc/u/6JGo7Sh5f67vTFizjdk/NJ\n+r4VsrI+lYLhioioeGHAItKTjbkN1vRbA1OTN7ObRCZFYtS2UVAJKr224esLeHtL27y9Ga6IiIob\nBiyiXPCq4IVv234raTvy5Ah+P/e7Xuv7+0uPXAGZ/y6Eh9MTEVEhYsAiyqWpzaaiTeU2krYZR2Yg\nMDQw2/XevqA965Gs7KZwICKioocBiyiXdE7dsGUYElITtK6j7W7BgAD958kiIqKihQGLKA8q2lbE\n0p5LJW33Iu/hswOfafTNbiqG3ExGSkRERQcDFlEe9a/TH+MbjZe0LQlcgm13ton/1meeK4as4oPT\nChIZB2P4WWTAIsqHP7r8oTl1wy5fPI99nqtJRBmyijYTk8xfpRkZGUbxi52opMvIyADw5mdTDgxY\nRPlgY26Dtf3XSqZuiEqKQr9Vo+E34c3UDfrMc6UtZAVmf908GQlzc3MAmb/UU1JSZK6GqGRLTU0V\nA5acD+lmwCLKJ8/ynviu7XeStgsRR9Dh698A5G4S0awha9YswMPDkJVSQbG1tRVfR0VF8SgWkYxi\nY2PF1zY2NrLVwWcRkgY+izD3MlQZ6LCqA44HHRfbzEzMsKx5AIa3y31KCgxkuCpKBEHAgwcPxL+a\n7ezs4ODgAEtLSygUCpmrIyoZVCoVYmNjERoaKrbVqFEDpqam2az1hqE/+xiwSAMDVt6ExIag/sL6\niE6OFttqOdXC5QmXYW1uLWNlVBgSExPx9OlTydErpVIJpVLJkEVUwARBQFpamuTnz8XFJVefX4b+\n7NMv1hFRjtRTNwzYNEBsU0/dsLjnYhkro8JgZWUFNzc3hISEiEeyMjIyxNdEVHgcHR1lPzjAI1ik\ngUew8sd3py/+vfKvpG3roK3oW7uvTBVRYRIEAQkJCYiNjUVqaipUKv2eU0lE+aNUKmFlZQV7e/s8\nXdzOU4RU4Biw8ic+NR4eiz3wIOqB2OZYyhHX37uOCrYVZKyMiIh0MfRnH+8iJDIwXVM3jN4+GiqB\nRzOIiEoCBiyiAqBt6oYjT47gt7O/yVQREREVJgYsogIytflUtK3cVtI28+hMBIZy9lAiouKOAYuo\ngJgoTLCy70o4WL45j5+mSsPQLUORkJogY2VERFTQGLCIClBF24rw7yV9qOD9yPv49MCnMlVERESF\ngQGLqID1q90Pvo2kz8pZGrgU2+5sk6kiIiIqaAxYRIXgjy5/oKZTTUmb7y5fPI99LlNFRERUkBiw\niAqBtbk11vZbCzOTN5PfRSVFof/G/ohMjJSxMiIiKggMWESFpHH5xviunXTqhvPPz6PZf83wKOqR\nTFUREVFBYMAiKkRTmk1B+yrtJW33I+/D518fnH12VqaqiIjI0BiwiAqRicIEmwZuQiv3VpL2iMQI\ntFvRDptubZKpMiIiMiQGLKJC5lDKAQdHHMTwesMl7SkZKRi0eRB+PvMz+IhQIqKijQGLSAYWphZY\n1XcVvmr1lcayaYen4b3d7yEtI02GyoiIyBAYsIhkolAo8E3bb7Cs9zLJg6EBYEngEvRc1xOxKbEy\nVUdERPnBgEUkszENx+DAiAOws7CTtB94dAAt/muBZ6+fyVQZERHlFQMWkRFoV6Udzo4/C3c7d0n7\njVc34POvD66EXpGpMiIiygsGLCIjUadsHQT4BsCrvJek/UXcC7Rc1hJ77u+RqTIiIsotBiwiI+Ji\n44LjY46jzzt9JO0JaQnotb4X/rn4jzyFERFRrjBgERkZKzMrbB64GZ/6fCppVwkqfLj3Q3x+4HNk\nqDJkqo6IiPTBgEVkhJQmSvze+Xf83fVvmCikP6a/B/yOgZsGIjEtUabqiIgoJwxYREbswyYfYseQ\nHbA2s5a0b7u7DW1XtMXL+JcyVUZERNlhwCIycj1q9sDJsSfhauMqab/w/AJ8/vXB7fDbMlVGRES6\nMGARFQEerh4473se9crVk7QHxQSh2b/NcPTJUZkqIyIibRiwiIqISnaVcHrcaXSu1lnS/jrlNTqv\n7owVV1fIVBkREb2NAYuoCLG1sMWuobvg5+EnaU9XpWPMjjH4+tjXfFA0EZERYMAiKmLMlGZY3GMx\nfmz/o8ayb09+i1HbRyElPUWGyoiISI0Bi6gIUigUmNZiGjYM2AALpYVk2errq9FpdSdEJUXJVB0R\nETFgERVhg+oOwtHRR1HGqoyk/WTwSTT7txkeRT2SqTIiopKNAYuoiGtWqRkCxgegplNNSfu9yHvw\n+dcH556dk6kyIqKSiwGLqBio5lgNZ8edRUu3lpL2iMQItFvZDptubZKpMiKikokBi6iYcLJywqGR\nhzCs3jBJe3J6MgZtHoSfz/zMOwyJiAoJAxZRMWJhaoHVfVfjq1ZfaSybdnga3t/zPtJV6TJURkRU\nsjBgERUzCoUC37T9Bv/1+g+mJqaSZYsvL0bPdT0RmxIrU3VERCUDAxZRMTW20VjsH74fdhZ2kvb9\nD/ej5bKWCIkNkakyIqLijwGLqBhrX7U9zo4/C3c7d0n79ZfX4e3vjathV+UpjIiomGPAIirm6pSt\ngwDfAHiV95K0v4h7gRb/tcDeB3tlqoyIqPhiwCIqAVxsXHB8zHH0eaePpD0hLQE91/XEPxf/kacw\nIqJiigGLqISwMrPC5oGbMdl7sqRdJajw4d4PMeXgFKgElTzFEREVMwxYRCWI0kSJeV3mYX7X+TBR\nSH/8fzv3GwZuGojEtESZqiMiKj4YsIhKoI+afIQdQ3bAysxK0r71zla0XdEWL+NfylQZEVHxwIBF\nVEL1qNkDp8aegquNq6T9wvML8PnXB3fC78hUGRFR0ceARVSCebh6IMA3APXK1ZO0B8UEodl/zXDs\nyTGZKiMiKtoYsIhKODc7N5wedxqdqnWStMckx6Dz6s5YeW2lTJURERVdDFhEBFsLW+weuhu+jXwl\n7WmqNIzePhqzj8/mg6KJiHKBAYuIAABmSjMs6bkEc9vP1Vg258QcjN4+GinpKTJURkRU9DBgEZFI\noVBgeovpWN9/PSyUFpJlq66vQufVnRGdFC1TdURERQcDFhFpGPzuYBwZdQROpZwk7SeCT6Dpv03x\nOPqxTJURERUNDFhEpFVzt+YI8A1ADccakvZ7kffg4++DgJCAXG8zMDBvteR1PSIiuTBgEZFO1R2r\n49z4c2jh1kLSHp4YjrYr2mLL7S16b2v2bKBxY8DfP3c1+Ptnrjd7du7WIyKSEwMWEWXLycoJh0Ye\nwtB3h0rak9OTMXDTQPx69tcc7zAMDATmzMl87eenf8jy98/sD2SuzyNZRFRUMGARUY4sTS2xpt8a\n/K/l/yTtAgRMPTQVH+z5AOmqdJ3re3gAS5e++bc+IStruAIy1/fwyEv1RESFjwGLiPSiUCjwbbtv\n8W+vf2FqYipZtujyIvRa1wtxKXE61/f11T9kaQtXvr7a+xIRGSMGLCLKlXGNxmHf8H2wtbCVtO97\nuA8tl7VESGyIznX1CVkMV0RUHDBgEVGudajaAWfHnYWbnZuk/drLa/D298bVsKs6180uZDFcEVFx\nwYBFRHlSt1xdnPc9D8/ynpL2F3Ev0HJZS+x7sE/nutpClo8PwxURFR8MWESUZy42Ljg++jh61+ot\naY9PjUfPdT2x6NIineu+HbLOn3/zmuGKiIo6Biwiyhdrc2tsGbQFk70nS9ozhAy8v+d9TD04FSpB\npXVdX1/A21va5u3NcEVERR8DFhHlm9JEiXld5uGvLn/BRCH9tfLruV8xaNMgJKUlaazn7y89cgVk\n/ju3k5ESERkbBiwiMphJ3pOwffB2WJlZSdq33NmCtiva4lXCK7Ht7Qvasx7Jys1kpERExogBi4gM\nqmetnjg55iRcbFwk7eefn4ePvw/uRtzVerdgQEDuJyMlIjJWDFhEZHCNyzfGed/zeLfcu5L2JzFP\n0PifpvD7/rjYlvWC9txMRkpEZMwUQk4PESuGYmNjcfHiRVy4cAEPHjyASqVCmTJl8Ouvvxp0nPT0\ndBw+fBgXLlxAWFgYMjIy4OTkhPr166Nbt26wtbXNeSMAQkNDsW3bNjx48ACpqalwc3NDjx49ULdu\nXYPWqxYdHQ1HR0cAQFRUFBwcHApkHCr+Xie/xsBNA3Ho8SHpggwzYMe/WDpppNYL2jkfFhEVNoN/\n9gklyIYNG4TatWsLCoVCACD5cnd3N+hY27dvFypUqKAxjvrLyspK+OGHH7LdRkZGhjBr1izB1NRU\n6zYGDhwoREdHG7RuQRCEqKgocYyoqCiDb59KltT0VMF3h6+A2dD4mn1stqBSqbSut3SpIABvvpYu\nLeTCiahEMfRnnylKkNu3b+POnTuwtbVF48aN0aRJE2zevBmPHj0y6Dg7duxAv379oFKpYGpqikGD\nBqFRo0awsLDAvXv3sGrVKsTGxmLGjBl4/fo1fvzxR63bmTJlCubNmwcA8PT0xKBBg2BpaYkjR45g\nx44d2LRpE8LCwnDo0CFYWFgY9D0QGYqZ0gzvVVgC/1+qAR2+lCybfWI2Hsc8xtKeS2GuNJcsUx+x\nUh/J8vPLfNgzH/hMREWCAUJfkXH79m3h1q1bQkZGhtjWvHlzgx/BqlatmgBAsLCwEAICAjSWh4WF\nCe7u7gIAwcTERAgJCdHoc/LkSTFJDx8+XFKzIAjC/PnzxeU5HQnLLR7BooIwa5YgoO56wXS2hcaR\nrDbL2whRidq/19RHsmbNKtRyiaiEMfRnX4m6yL127dqoU6cOTEwK7m0/f/5cPCI2cOBAeL89iyIA\nZ2dnTJ8+HQCgUqlw5swZjT7ffPMNAMDBwQELFy7UqPmjjz5C69atAQA///wzUlJSDPo+iAxt9mzg\n8srBOD72CJxKOUmWHQ86jmb/NcPDqIca6/n6ApcvZ65PRFRUlKiAVRiELPcMuLu76+yXdZlKJZ3l\nOiIiAseOHQMADB06FKVLl9a6jQkTJgAAYmJicOjQIa19iIyJhwfQ3K05AnwDUMOxhmTZ3Yi78Fzi\niV33dmldj4ioKGHAMrCKFSuiXLlyAIDLly/r7KdeplAo0KhRI8myU6dOISMjAwDQtm1bndvIukwd\nyIiKguqO1XFu/Dm0cGshaX+d8hq91vfCV0e/QoYqQ6bqiIjyjwGrAHz//fcAgP379+OPP/4Qw5La\noUOHMHfuXADA6NGjUatWLcnyW7duia/r1KmjcxxXV1fY2dkByLyAn6gocbJywqGRhzC83nCNZd+d\n+g491vVAVFKUDJUREeUfA1YB8PX1hb+/P5ycnPDpp5+iatWq6NmzJ/r374969eqhU6dOyMjIwOTJ\nk7FkyRKN9Z89eya+rlixYrZjqZdnXUcf0dHROr9iYmJytS2ivLI0tcSqvqswr/M8KBVKybL9D/fD\nc4knroRekak6IqK8K1HTNBSmUaNGwcrKCh9//DGePn2Kp0+fistMTU0xc+ZMTJo0CWZmZhrrxsXF\nia+tra2zHcfGxkZjHX2oJ1MjkptCocBkn8nwcPXAoE2D8DLhpbjsScwTNPuvGRb3WIxRDUbJWCUR\nUe7wCFYBePXqFVq0aIFhw4YhNjYWw4cPx19//YVFixbhk08+gZ2dHb7++mvUrl0bgYGBGuur7whU\nKBRQKpUay7MyNzeXrENUVLVyb4XAiYFoWrGppD05PRmjt4/Gh3s+RGpGqkzVERHlDo9gGVh6ejo6\nd+6Mq1evwsHBAceOHUODBg0kff73v/+hU6dOuHLlCtq1a4dbt26hQoUK4nIrKysAmXckpqWlaT3K\npZacnCxZR19RUbqvbYmJiUHVqlVztT0iQyhfujyOjzmOzw58hgUXF0iW/XPpH1wJu4JNAzehgm0F\nHVsgIjIOPIJlYDt37sTVq1cBAHPmzNEIVwBQpkwZLF++HADw+vVr/PXXX5Ll6gvX1cuzo16u73MN\n1RwcHHR+2dvb52pbRIZkrjTH393+xso+K2FpailZdi7kHDyWeOBE0AmZqiMi0g8DloGdPHlSfN29\ne3ed/erXry9eoJ51HQCSo0dZr93SRn1xe7Vq1XJdK5ExG9lgJM6NP4cq9lUk7a8SXqH9yvaYd26e\nZN45IiJjwoBlYLGxseLrnC4kVy9/+yhVvXr1xNdXrui+g+ru3btISkrSWIeouGjo0hCXJlxC1+pd\nJe0ZQgY+O/gZhm4ZivjUeJmqIyLSjQHLwMqUKSO+zm7qBEEQEBISorEOALRs2VK8e3D//v06t5F1\nWZcuXfJUL5GxcyzliN3DduPrVl9rLNtwawN8/H1wP/K+DJUREenGgGVgTZu+uQNKfZ2VNjt27BAv\nNG/WrJlkmaWlJQYMGCD2Uz/bMKuUlBT8888/AIAaNWpofeYhUXFhojDBnLZzsGvoLthZ2EmW3Qq/\nBa+lXthxd4dM1RERaWLAyqXVq1djzJgxGDNmDIKCgjSWd+/eHVWqZF4z8scff2DhwoUazxo8fvw4\n/Pz8AABmZmbiMwWzmjVrFiwsLJCWloZBgwYhLCxMXJaSkoLx48fjwYMHADJnjlcoFIZ6i0RGq0fN\nHrg04RLqlZOeEo9NiUWfDX0w88hMPmKHiIyCQihBV4lGRERgypQpkrZ9+/bh1atXsLa2Fo8aqX31\n1VcaF49/9NFHWLAg8/bxixcvwtPTU2OcCxcuoEOHDuLkn25ubvDy8oKZmRnu3LmDa9euAQBMTEyw\ndOlSjBs3Tmu969atw/DhwyEIAqysrNC2bVtYWFjgzJkzePnypVjP/Pnz87A3dIuOjhavD4uKioKD\ng4NBt0+UXwmpCZiwewLW3lirsaxTtU5Y228tnKycZKiMiIoqQ3/2laiAFRQUJB5d0se5c+fg4+Mj\nadMnYAHAo0ePMG3aNOzYsQPp6ekay5s1a4YffvgBrVu3zraGo0ePYtKkSRrPGixXrhxmzZqFDz74\nQO/3oy8GLCoKBEHA/Avz8fnBz5Gukv6Mudu5Y+vgrfBw9ZCpOiIqahiw8iE+Ph6bN2/Wu3/37t1R\ntmxZSdv58+dx584dAEDPnj3h5JT9X8lxcXEIDAzEy5cvkZGRAScnJzRo0ADOzs65qv3WrVt48OAB\n0tLSUKlSJXh5eeU4y3teMWBRUXL66WkM3DQQYfFhknYLpQUWdl+IsY3GylQZERUlDFhU4BiwqKgJ\njQvFoM2DcPrpaY1lExtPxJ9d/oSFqYUMlRFRUWHozz5e5E5ERZ5raVccHXUUHzf5WGPZ4suL0Xp5\na4TEhshQGRGVVAxYRFQsmCnN8GfXP7G672qUMi0lWXb++Xl4LPbAsSfHZKqOiEoaBiwiKlaG1x+O\nAN8AVHOQ3gEcnhiOjqs64tezv/IRO0RU4BiwiKjYqe9cHxf9LqJ7DenzQDOEDEw9NBWDNw9GXEqc\nTNURUUnAgEVExZJDKQfsHLoTc9rMgQLSiXg33d4Eb39v3Iu4J1N1RFTcMWARUbFlojDB162/xu5h\nu2FvaS9ZdifiDryWemHbnW3yFEdExRoDFhEVe91qdMMlv0to4NxA0h6XGod+G/vhy8Nf8hE7RGRQ\nDFhEVCJUc6yGs+PPYkT9ERrLfjzzI7qs6YKIxAgZKiOi4ogBi4hKDCszK6zssxLzu86HqYmpZNnh\nx4fReEljXHpxSabqiKg4YcAiohJFoVDgoyYf4cSYE3C1cZUse/r6KVr81wL/Bv4rU3VEVFwwYBFR\nidSsUjMETgxES7eWkvaUjBT47vLFhF0TkJKeIlN1RFTUMWARUYnlYuOCI6OOYLL3ZI1lSwOXouWy\nlnj2+lnhF0ZERR4DFhGVaGZKM8zrMg9r+62FlZmVZNnFFxfhscQDRx4fkak6IiqqGLCIiAAMrTcU\nAeMDUN2xuqQ9IjECnVZ3wk+nf+IjdohIbwxYRET/r55zPVz0u4ieNXtK2lWCCtOPTMeATQMQmxIr\nU3VEVJQwYBERZWFvaY/tQ7bj27bfajxiZ+udrfD298ad8DsyVUdERQUDFhHRW0wUJvhfq/9h7/C9\ncLB0kCy7G3EXTfybYMvtLTJVR0RFAQMWEZEOXap3weUJl9HQpaGkPT41HgM2DcAXh75AuipdnuKI\nyKgxYBERZaOKQxWcHXcWoxuM1lj2y9lf0Hl1Z4QnhMtQGREZMwYsIqIclDIrhWW9l+Gfbv/AzMRM\nsuzok6PwWOKBC88vyFQdERkjBiwiIj0oFAq87/U+Tow5gfKly0uWhcSGoOWyllh6ealM1RGRsWHA\nIiLKhaaVmiJwQiBau7eWtKdmpGLC7gnw3emL5PRkmaojImPBgEVElEvONs44POowPvP5TGPZv1f+\nRYv/WiA4JliGyojIWDBgERHlgamJKX7r/BvW918PazNrybLLoZfReEljHHp0SKbqiEhuDFhERPkw\n+N3BOO97HjUca0jaI5Mi0WVNF8w9NZeP2CEqgRiwiIjyqW65urjodxG9a/WWtKsEFWYcnYF+G/vx\nETtEJYxCKMQ/rYKCgrB3717cunUL0dHRSE1Nzbb/6NGj0bNnz2z7kOFFR0fD0dERABAVFQUHB4cc\n1iAiIDNQ/Xj6R/zv6P8gQPqrtaZTTWwbvA11ytaRqToiyo6hP/tMDVFUTpKSkvDBBx9gxYoVuTpU\n7uPjw4BFREWGicIEM1rOgGd5TwzdMhRRSVHisvuR99FkaRMs670MA+sOlLFKIioMhRKwhg0bhu3b\nt4v/rly5MlxdXWFubp7tepUqVSrgyoiIDK9TtU64POEy+m/sj8DQQLE9IS0BgzYPwufPP8ePHX6E\nqUmh/AomIhkU+CnCS5cuwcvLCwDQv39//PLLL6hSpUpBDkn5xFOERIaRlJaED/d+iGVXl2ksa1O5\nDTYM2IBy1uVkqIyI3mboz74Cv8j9+PHjAICGDRti48aNDFdEVGKUMiuFf3v9i0XdF2k8Yud40HF4\nLPZAQEiATNURUUEq8IAVHR0NAOjVqxdMTHjTIhGVLAqFAhM9J+LU2FOoaFtRsux53HO0WtYKiy4t\n4lQORMVMgSeeChUqAACUSmVBD0VEZLS8K3rj8oTLaFu5raQ9TZWG9/e8j7E7xiIpLSnH7QQG5tiF\niIxAgQes7t27Q6lU4sIFPmmeiEq2ctblcHDkQTQTpmosW3FtBZr/1xxPop/oXN/fH2jcGJg9uwCL\nJCKDKPCA5e7ujs8//xx79+7FiRMnCno4IiKjdv2qKc7O+RnYuAlIsZEsuxJ2BZ5LPXHg4QGN9fz9\nAT+/zNdz5vBIFpGxK5SLoubOnYvJkyejV69eWLBgARITEwtjWCIio+PhASxdCuD2AGDpBSCilmR5\nVFIUuq7piu9Pfi9el5U1XAGZ63t4FGLRRJRrBT5Nw8KFC7FhwwYAwPXr1xEdHQ1zc3PUrl0bdnZ2\nUCgUOtd9//33MXjw4IIsj7TgNA1EBU8MTRaxQJ8xQO1tGn361+6PNjHLMWnimyNdS5cCvr6FVydR\nSVHkZnJ/9OiRxqnB1NRUXLt2Lcd1e/ToUVBlERHJSh2S/PxsgQ1bgOY/Q9FxBgSoxD5b7mzBlpf3\nAfsdQEwVhiuiIqTAA9a7776L3r1759xRixo1auTciYioiHoTshTAmWkQQhvDZswQxKsi33RyvgFM\n8MJnbhvh69tOnkKJKNcK9WHPVDTwFCFR4ZJcY2UfBKtxvZFoe13SR6lQYl7nefioyUfZXlpBRHlT\n5GZyJyKi7Pn6/v+F7wAQUxmJ888Ct6QPhM4QMvDx/o8xfud4pKSnFH6RRJQrDFhEREbA1xfw9v7/\nf6RZA5s2oOK976GA9GjVsqvL0GZFG4TGhRZ6jUSkPwYsIiIj4O8PnD+ftUWBkHUz8KHjDpQ2Ly3p\nGxASAM+lnjgfIlmBiIwIAxYRkczenudKPJIF4O+Pe2Kq/XnUcJTe9PMi7gVaLW+FFVdXFFKVRJQb\nDFhERDLSNoloQECWa7IAfP1BbXxkcQFdqneRrJuakYoxO8bg0/2fIl2VXkgVE5E+GLCIiGSiLVyp\np26QXPgO4JOJ9uibuBtfNPtCYzt/nP8DXVZ3QWRipMYyIpIHAxYRkQyyC1dqb4esiROUqBH8E9b0\nWwNLU0tJ3yNPjsBrqRduvLxRgFUTkb4YsIiICpk+4Urt7ZDl5wcknh+G02NPo6JtRUnfJzFP0PTf\npth6Z2sBVE1EucGARURUiAID9Q9XatpCliKsMS75XUILtxaSvglpCei/sT9mHZsFlaACEcmDAYuI\nqBB5eACzZmW+zs2zBbOGrFmzMrfjbOOMI6OOYGLjiRr9vzn5Dfpt6Ie4lDgDVU5EucFH5ZAGPiqH\nqOAFBmaGJEOtt+jSIkzaN0njbsI6Zetgx5AdqO5YPY+VEpUMfFQOEVExkJdwld1673m+h6OjjqKs\nVVlJ++3w2/Ba6oWDjw7mbUAiyhMGLCKiYqKle0tcmnAJHq7SFBaTHIOua7ri93O/gyctiAoHAxYR\nUTHiZueGU2NPYei7QyXtKkGFzw9+jlHbRyEpLUmm6ohKDgYsIqJixsrMCmv6rcFPHX7SeFj06uur\n0Wp5K4TEhshUHVHJwIBFRFQMKRQKfNH8C+wZtgd2FnaSZZdeXILnEk+cfXZWpuqIij8GLCKiYqxr\nja644HcB75R5R9L+MuEl2ixvA/9Af5kqIyreGLCIiIq5mk41ETA+AN1rdJe0p6nS4LfLDx/t/Qhp\nGWkyVUdUPDFgERGVAHaWdtgxZAdmtJihsWzBxQXouKojwhPCZaiMqHhiwCIiKiGUJkp83/57bBiw\nAVZmVpJlJ4JPwGupF66GXZWnOKJihgGLiKiEGVR3EM6MOwN3O3dJe/DrYDT7txk23NwgU2VExQcD\nFhFRCdTQpSEu+l1Em8ptJO1J6UkYsmUIZhyZgQxVhjzFERUDDFhERCVUWeuyODjiID7y+khj2dzT\nc9F7fW+8Tn4tQ2VERR8DFhFRCWamNMP8bvPh39MfZiZmkmV7HuyBt7837kXck6k6oqKLAYuIiDDe\nYzyOjzkOZ2tnSfu9yHto4t8Eex/slakyoqKJAYuIiAAAzSo1w6UJl+BV3kvSHpsSix5re+Cn0z/x\nYdFEemLAIiIiUUXbijg59iRG1h8paRcgYPqR6Ri2dRgS0xJlqo6o6GDAIiIiCUtTS6zoswK/d/od\nJgrpx8T6m+vR4r8WePr6qUzVERUNDFhERKRBoVDg06afYv/w/XCwdJAsuxJ2BZ5LPHEy+KRM1REZ\nPwYsIiLSqWO1jrjodxF1y9aVtIcnhqP9yvZYeHGhTJURGTcGLCIiylY1x2o4N/4c+rzTR9KerkrH\nB3s/wMRdE5GakSpPcURGigGLiIhyVNqiNLYM2oJZrWdpLFsSuATtVrTDy/iXMlRGZJwYsIiISC8m\nChPMbjMbWwdthbWZtWTZmWdn4LnUE5deXJKpOiLjwoBFRES50rd2X5wbfw5VHapK2kNiQ9ByWUus\nub5GpsqIjAcDFhER5Vo953q46HcRHap2kLQnpydjxLYRmHpwKh8WTSUaAxYREeWJYylH7Bu+D5/6\nfKqx7Ndzv6L72u6IToqWoTIi+TFgERFRnpmamOL3zr9jee/lsFBaSJYdeHQATfyb4Hb4bZmqI5IP\nAxYREeXb6IajcXLsSZQvXV7S/jDqIXz8fbDz3k6ZKiOSBwMWEREZRJMKTXDJ7xJ8KvpI2uNS49B7\nfW98d/I7PiyaSgwGLCIiMhjX0q44Pvo4xjUcp7Hsq2NfYeCmgYhPjZehMqLCxYBFREQGZWFqAf9e\n/pjfdT6UCqVk2ZY7W9Ds32Z4Ev1EpuqICgcDFhERGZxCocBHTT7CwZEH4VTKSbLsxqsb8FrqhaNP\njspUHVHBY8AiIqIC065KO1z0u4j6zvUl7ZFJkei0qhPmn5/P67KoWGLAIiKiAlXFoQrOjDuDAXUG\nSNozhAx8vP9jjN85HinpKTJVR1QwGLCIiKjA2ZjbYOOAjfiu7Xcay5ZdXYY2K9ogNC608AsjKiAK\noYQdm42KisKFCxdw/vx5XLhwAQ8ePIBKpULFihVx/PjxfG///PnzGD58eK7W+fbbbzF06FBJ2/ff\nf49ly5bluG7ZsmVx7ty5XI2Xk+joaDg6OgLI3F8ODg4G3T4RlWw77+3EiK0jEJcaJ2kvX7o8tg7a\nCu+K3jJVRiWZoT/7TA1RVFHx66+/YurUqVqXpaenG2SMpKQkPHr0KFfrWFlZabSFh4frtZ34eN7u\nTERFS69avXDe9zx6re+Fh1EPxfYXcS/QankrLOmxBKMbjpaxQqL8K1EBKz4+Ho6OjvDy8kKTJk3Q\npEkTzJo1C4GBgQYbw9vbGw8ePMi2T3p6Ory9vREbGwsnJyd07dpVZ18XFxecOnVK53JT0xL1v5CI\nionaZWvjgu8FDN0yFAceHRDbUzNSMWbHGFwNu4pfOv0CUxP+jqOiqUR9506dOhWzZ8+WtP34448G\nHaNUqVKoXr16tn127NiB2NhYAMDw4cNhbm6us69Sqcxxe0RERZFDKQfsGbYHXx75Er+c/UWy7I/z\nf+DGqxvYMGADnKycdGyByHiVqIvcra2t5S4BALBixQrx9dixY2WshIhIXkoTJX7u+DNW910NS1NL\nybIjT47Aa6kXbry8IVN1RHlXogKWMYiMjMSePXsAAI0aNULDhg3lLYiIyAgMrz8cp8eeRkXbipL2\nJzFP0PTfpnxYNBU5DFiFbM2aNUhNTQXAo1dERFk1Lt8Yl/wuoXml5pL2hLQE9N3QF8uu5HxnNZGx\nYMAqZMuXLwcAmJubY9iwYTn2j42NxciRI+Hp6Ym6deuiZcuWmDRpEo4cOVLAlRIRFT5nG2ccHX0U\nEzwmSNpVggrjdo7Db2d/k6kyotwpURe5y+3GjRu4cuUKAKBXr15wcsr5ws24uDisXr1a0nb69Gn8\n/fffaNmyJdasWYNKlSrlupbo6Gidy2JiYnK9PSIiQzFXmmNxz8Vo4NIAk/ZNgkpQicumHJqCiMQI\n/ND+BygUChmrJMoeA1YhUh+9AnI+PahUKtGpUyd069YNNWrUQKVKlZCamoqrV69iyZIluHDhAk6d\nOoXWrVsjICAA5cqVy1Ut6snUiIiM1QdeH8DFxgVDtwxFakaq2P7jmR8RmRSJhd0XQmmilLFCIt1K\n3Ezub2vRogXOnDkDd3d3BAUFFdg46enpqFixIl6+fIny5cvj6dOnUCp1/2JITU3VOX2DSqXC1KlT\n8fvvvwMAxo0bh3///TdX9ej7lx9nciciuR15fAR9NvRBfKp0YuUBdQZgdd/VsDC1kKkyKk4MPZM7\nr8EqJPv27cPLly8BAKNGjco2XAHIdm4sExMT/Prrr2jUqBEAYPXq1UhISMhVPVFRUTq/Hj9+nKtt\nEREVpPZV2+PoqKNwKiW9rGLz7c3oua6nRvAiMgYMWIUk6+nBMWPG5Ht7CoVCvEg+NTU117PROzg4\n6Pyyt7fPd31ERIbkVcELp8ae0pjG4dDjQ2i/sj0iEyNlqoxIOwasQhAVFYXdu3cDAJo1a4ZatWoZ\nZLtubm7i6/DwcINsk4hIDvr8jVi7bG2cGXcGNZ1qStovPL+AVstb4Xns8wKqjij3GLAKwdq1a8W5\nr8aNG2ew7Wa9E7B06dIG2y4RUWGaPRto3Bjw98+5r5udG06PPY3Gro0l7bfDb6P5f81xP/J+wRRJ\nlEsMWIVAfXrQysoKgwYNMth2Dxx484DUunXrGmy7RESFJTAQmDMn87Wfn34hq6x1WYzGUeBJW0l7\n8OtgtPivBa6EXimASolyhwGrgN26dQuXL18GAAwYMMBgR5r27duH7du3AwBatmyJ8uXLG2S7RESF\nycMDWLr0zb/1CVn+/sDHE22BNXuBO30ky8ITw9FmRRucDD5p8FqJcoMBK5fmzJmD6tWro3r16rh5\n82aO/XMz95Xajh078MEHH+DAgQMaE4KGhoZi9uzZ6NOnDwRBgIWFBX77jTMbE1HR5eurf8jy989c\nDgBIt8Si9pswtqH0d2tsSiw6r+6MXfd2FUzBRHooURONPn/+HK1bt9ZoU/+3evXqkmWbN2/WeBhz\neHg4Hj16BABITk7OdryMjAxxFvaqVatqjK1LeHg4Fi5ciIULFwIALCwsUK5cOaSkpODVq1diP0dH\nR6xatQpeXl56bZeIyFj5+mb+Vx2e1P9VtwNvhStkhjJfX1NMEP6FYylH/HbuzR+byenJ6LuhL/7r\n/R9GNRhVwNUTaSpRASstLU0MR29LT0/XWJZTgMrJ/v37ERYWBiBzagZ9J/fs27cvBEHA/v37cebM\nGbx69QrPnj0DkDnDe506ddC3b1988MEHcHZ2zleNRETGIruQpT1cZb5WKBT4peMvKGNVBl8e+VLs\nkyFkYPT20YhKisJkn8kF/waIsihRM7mnp6fnarb2SpUqwcJCOkNwRESE+Kw+bcuzUk/cCQAVKlRA\nqVKlcl0zkBkMX716BRMTEzg6OmY7piEYejZbIqLceDtMeXsD58+/+XfWcPW2JZeX4L3d70GA9KNt\nZsuZ+Lbtt3x+Ielk6M++EhWwSD8MWEQkt7dDllp24Upt8+3NGLZlGNJUaZL29xq/h7+7/c3nF5JW\nfFQOEREVe76+mUeusvL2zjlcAZnPKNwzbA+szawl7YsuL8LwrcMlD44mKigMWEREZHT8/aWnBYHM\nf+szTxYAdKzWEUdGHYFjKUdJ+4ZbG9BzXU8kpObu+a1EucWARURERkXbNVhq+k5GCgDeFb1xcsxJ\nlC8tnSfw4KOD6LCqA6KSogxQLZF2DFhERGQ0tN0tGBCQ+8lI1eqWq4sz486ghmMNSXtASABaL2+N\nF3EvDFA1kSYGLCIiMgrZTcWQm8lI31bZvjJOjT2Fhi4NJe03X91E8/+a42HUw/wVTqQFAxYREcku\nu3Cllp+Q5WzjjOOjj6OVeytJe1BMEFr81wLXwq7lsXIi7RiwiIhIVvqEK7X8hCw7SzvsH74fPWv2\nlLS/THiJ1stb41TwqVxWTqQbAxYREckmMFD/cKWmLWQFBuo3XimzUtg6eKvG43Nep7xGp9WdsOf+\nHj0rJ8oeAxYREcnGwwOYNSvztT7hSi1ryJo1K3M7+jI1McWy3ssw2XuypD05PRm91/fGmutr9N8Y\nkQ6cyZ00cCZ3IipsgYG5C0n5XQ8ABEHAD6d+wP+O/U9j2V9d/sIk70l52zAVSZzJnYiIip28hqS8\nrgdkPiR6ZquZWNh9IRSQPqPw4/0fY/bx2eAxCMorBiwiIirR3vN8D+v6r4OZiZmkfc6JOfh438dQ\nCSqZKqOijAGLiIhKvMHvDsauobtgZWYlaf/74t8YsXUE0jLSdKxJpB0DFhEREYDO1Tvj8MjDcLCU\nXnuz7uY69F7fG4lpiTJVRkURAxYREdH/a1qpKU6OPQlXG1dJ+76H+9BpVSdEJ0XLVBkVNQxYRERE\nWbxb7l2cGXcG1RyqSdrPPDuD1stbIzQuVKbKqChhwCIiInpLFYcqOD3uNBo4N5C033h1Ay2WtcDj\n6McyVUZFBQMWERGRFi42Ljg+5jhauLWQtD+Ofozm/zXH9ZfXZaqMigIGLCIiIh3sLe1xYMQBdK/R\nXdIeFh+G1stb48zTMzJVRsaOAYuIiCgbVmZW2DZ4G4bXGy5pj0mOQcdVHbHvwT6ZKiNjxoBFRESU\nAzOlGVb2XYlJTaSPz0lKT0Kv9b2w7sY6mSojY8WARUREpAcThQn+7PIn5rSZI2lPV6Vj+Nbh+Ofi\nPzJVRsaIAYuIiEhPCoUCX7f+Gn93/Vvy/EIBAj7c+yG+OfENn19IABiwiIiIcu3DJh9iTb81MDUx\nlbTPOj4Lk/dP5vMLiQGLiIgoL4bWG4qdQ3ailGkpSftfF/7C6O2j+fzCEo4Bi4iIKI+61uiKQyMP\nwd7SXtK++vpq9NvYD0lpSfIURrJjwCIiIsqH5m7NcWLMCbjYuEjad9/fjc6rOyMmOUaewkhWDFhE\nRET5VN+5Pk6PPY2qDlUl7aeenkKb5W3wMv6lTJWRXBiwiIiIDKCaYzWcHnsa9crVk7Rfe3kNLZa1\nQFBMkDyFkSwYsIiIiAzEtbQrTow5gWaVmknaH0Y9RPP/muPmq5syVUaFjQGLiIjIgBxKOeDgiIPo\nUr2LpP1F3Au0WtYKASEBMlVGhYkBi4iIyMCsza2xY8gODH13qKQ9Ojka7Ve2x4GHB2SqjAoLAxYR\nEVEBMFeaY3W/1fjA8wNJe2JaInqu64kNNzfIVBkVBgYsIiKiAmKiMMHf3f7G162+lrSnqdIwdMtQ\nLLq0SKbKqKAxYBERERUghUKBOW3n4M8uf0raBQh4f8/7+P7k93x+YTHEgEVERFQIPvb+GKv6roJS\noZS0/+/Y//D5wc/5/MJihgGLiIiokIyoPwI7huyApamlpH1ewDyM2zEO6ap0mSojQ2PAIiIiKkTd\na3bHwREHYWthK2lfcW0F+m/sz+cXFhMMWERERIWspXtLnBhzAs7WzpL2nfd2ouuarnid/FqmyshQ\nGLCIiIhk0NClIU6PO43K9pUl7SeCT6DtirZ4lfBKnsLIIBiwiIiIZFLdsTrOjDuDumXrStqvhF1B\ni/9aIDgmWKbKKL8YsIiIiGRUvnR5nBx7Ej4VfSTtD6IeoPl/zXE7/LZMlVF+MGARERHJzLGUIw6P\nPIxO1TpJ2p/HPUfLZS1x4fkFmSqjvGLAIiIiMgLW5tbYNXQXBtUdJGmPSopCuxXtcPjxYZkqo7xg\nwCIiIjIS5kpzrO23FhMbT5S0J6QloPva7thye4tMlVFuMWAREREZEaWJEgu7L8TMljMl7akZqRi0\neRCWXl4qU2WUGwxYRERERkahUOC7dt/h906/S9pVggoTdk/Av4H/ylQZ6YsBi4iIyEh92vRTLO+9\nXOP5he/teQ9HHh+RqSrSBwMWERGRERvdcDS2Dt4KC6WF2JauSseATQNwN+KujJVRdhiwiIiIjFyv\nWr2wtv9aSVtMcgx6rO2BiMQImaqi7DBgERERFQH9avfDj+1/lLQ9in6Evhv6IiU9RaaqSBcGLCIi\noiLii+ZfYFzDcZK2009Pw2+XHwRBkKkq0oYBi4iIqIhQKBRY2GMh2lRuI2lfdX0Vfjj1gzxFkVYM\nWEREREYmMFD3MnOlObYM2oIajjUk7f879j/8uHtjAVdG+mLAIiIiMiKzZwONGwP+/rr7OJZyxJ5h\ne+BYylHS/mXAaPjOPl+wBZJeGLCIiIiMRGAgMGdO5ms/v+xDVg2nGtg6aCvMTMzeNJol49+EXth9\nOqhA66ScMWAREREZCQ8PYGmWJ+HkFLJaV26N4bZLpI02r/DljZ6ITYktmCJJLwxYRERERsTXV/+Q\n5e8PLJ88Bjj1paT95qubGLx5MNJV6QVXKGWLAYuIiMjI6BOy/P0z2wEAR79DY8sBkuX7H+7Hp/s/\nLdhCSScGLCIiIiOUXciShCsAS5eY4ORnK+BV3kuyjb8v/o355+cXQrX0NgYsIiIiI6UtZPn4vBWu\nlmb2szKzws6hO1HJtpJkG5MPTMbeB3sLqWJSY8AiIiIyYm+HrPNZZmFQhys1FxsX7B62GzbmNmKb\nSlBh8ObBuP7yeiFUS2oMWEREREbO1xfw9pa2eXtLw5Vafef6WN9/PUwUbz7i41Pj0WNtD4TFhxVw\npaTGgEVERGTk/P2lR66AzH/ruruwe83umNd5nqTtWewz9F7fG0lpSQVUJWXFgEVERGTE3r6gPeuR\nrOymcJjUZBI+8PxA0nbh+QWM3j4aKkFVAJVSVgxYRERERkrjbsGlQECAfvNkKRQK/Nn1T3Sp3kXS\nvun2Jnx19KsCqpjUGLCIiIiMkLZwpb7mSt/JSE1NTLG+/3rULVtX0v7D6R+w4uqKAqia1BiwiIiI\njEx24UpN35BlZ2mH3cN2o5x1OUm73y4/nAg6YcCqKSsGLCIiIiOiT7hS0zdkVbavjB1DdsBCaSG2\npanS0G9jPzyIfGCgyikrBiwiIiIjERiof7hS0xayAgM1+/lU9MGKPtLTglFJUeixrgeikqLyUTVp\nw4BFRERkJDw8gFmzMl/rE67UsoasWbMyt6PN4HcH45s230ja7kfeR/+N/ZGakZrHqkkbhSAIgtxF\nkHGJjo6Go6MjACAqKgoODg4yV0REVLIEBuoOSfldTxAEjNo+Cquvr5a0j2s4Dv69/KFQKHI/cDFg\n6M8+HsEiIiIyMnkJV/qup1Ao4N/THy3cWkja/7v6H345+0veBiYNDFhEREQljIWpBbYN3oaqDlUl\n7dMOT8PWO1tlqqp4YcAiIiIqgcpYlcGeYXtgZ2EnaR+xdQQuvbgkU1XFBwMWERFRCfVOmXewZdAW\nmJqYim1J6Unota4Xnr1+JmNlRR8DFhERUQnWvmp7/NPtH0lbaHwoeq7rifjUeJmqKvoYsIiIiEo4\nv8Z+mNJ0iqTt2strGLplKDJUGTJVVbQxYBERERF+7PAjetfqLWnbfX83ph6aKlNFRRsDFhEREUFp\nosSafmvQyKWRpH1ewDwsurRIpqqKLgYsIiIiAgBYm1tj19BdKF+6vKT9o70f4eCjgzJVVTQxYBER\nEZGogm0F7Bq6C1ZmVmJbhpCBgZsG4nb4bRkrK1oYsIiIiEjCw9UDa/uthQJvHpsTmxKL7mu741XC\nKxkrKzoYsIiIiEhD73d645eO0kfnBMUEoc/6PkhOT5apqqLDNOcuxZcgCAgPD4dKpYJSqUTZsmXz\nvc3U1FRERUXlah07OzuUKlUqx34pKSlITU1F6dKl81oeERGR3j5r+hnuRd7D0sClYtu5kHMYt2Mc\n1vRbU2IfDK2PEnUEKyoqCjt37sT//vc/dOzYEQ4ODnB2doarqyu8vLwMMsbZs2fh6uqaq68VK1Zk\nW/OUKVPg5uYGS0tL2Nrawt7eHiNGjMDt2zwXTkREBUehUGBBtwVoX6W9pH3dzXWYc2KOTFUVDSXq\nCNZff/2FOXPefEMoFAqYmpoiPT3dYGOYm5vD2dk5x36RkZHiuO+++67WPnfu3EH79u0RGhoqbtvM\nzAyvX7/GmjVrsGXLFqxevRr9+/c3WP1ERERZmSnNsHnQZjT9tynuRtwV2+ecmIMajjUwvP5wGasz\nXiXqCJaTkxN69uyJb7/9FgcOHEBUVBS8vb0NOkazZs0QFhaW7df9+/dhZmYGAKhevTpatGihsZ34\n+Hh069YNoaGhsLOzw/r165GYmIj4+HicO3cO77zzDpKTkzFixAhcu3bNoO+BiIgoK3tLe+weuhtO\npZwk7eN2jsOZp2dkqsq4laiANWnSJPEUYadOnWBvby9LHRs2bEBSUhIAYOzYsVr7zJs3D0FBQQCA\ndevWYfDgwVAqlQAAHx8fHDp0CLa2tkhOTsYXX3xRKHUTEVHJVc2xGrYP2Q5zpbnYlpqRij4b+uBx\n9GMZKzNOJSpgGYvly5cDAExMTDBq1CiN5YIgYPHixQCApk2bomvXrhp9KlasCD8/PwDAwYMH8eTJ\nk4IrmIiICEALtxb4r9d/kraIxAj0WNsDMckx8hRlpBiwCtmDBw9w9uxZAEDHjh1RsWJFjT6XL1/G\n8+fPASDb66sGDBggvt65c6eBKyUiItI0vP5wfNXqK0nbnYg7GLhpINIy0mSqyvgwYBWyrHcMjhs3\nTmufwMBA8XWTJk10bqtx48biacOs6xARERWkOW3mYMi7QyRthx8fxqR9kyAIgkxVGRcGrEKkUqmw\natUqAICDgwN69+6ttd+9e/fE11WrVtW5PTMzM1SoUEFjHSIiooKkUCiwrPcy+FT0kbQvvrwYfwT8\nIU9RRoYBqxAdPXoUT58+BQAMGzYMFhYWWvtlnai0TJky2W5TvTy3k5tGR0fr/IqJicnVtoiIqOSx\nNLXE9sHb4W7nLmn//ODn2HmPl60wYBUi9cXtgO67BwEgISEBQOZfCLpCmJp6Bvj4+Phc1eLo6Kjz\nK7ujZkRERGrONs7YM2wPbC1sxTYBAoZtGYarYVflK8wIMGAVkri4OGzbtg0AUK9ePTRu3FhnX/Wj\nBwRByPFctnq5iQn/VxIRUeGrW64uNg7YCKVCKbYlpCWgx9oeeBH3QsbK5MVP5UKyceNGJCYmAtB9\ncbuajY2N+Do5OfsHaqq3mXUdfURFRen8evyY85kQEZH+OlfvjL+6/iVpex73HD3X9URCaoJMVcmL\nAauQqE8PmpmZYfjw7B8rUK5cOfF1WFhYtn3Vy7Ouow8HBwedX3JNwEpEREXXB14f4BPvTyRtgaGB\nGLFtBFSCSqaq5MOAVQgePXqE06dPAwB69OiBsmXLZtu/du3a4uuHDx/q7JeQkICXL19qrENERCSH\n3zr9hu41ukvatt/dji8PfylTRfJhwCoE+l7crpb1+Yhnzuh+xtPZs2fFa7AM/UxFIiKi3FKaKLGu\n/zrUd64vaf/57M/wD/SXqSp5MGAVMEEQxLmvXFxctD725m21atVCnTp1AADr16/XeaH72rVrAQBK\npRK9evUyUMVERER5V9qiNHYN3QUXGxdJ+/t73sfRJ0dlqqrwMWDlUlxcHMLCwhAWFob09PQc+x87\ndgzBwcEAgJEjR8LU1FSvcT799FMAmROILly4UGP5pUuXsHr1anG7Oc2XRUREVFjc7Nywc8hOlDIt\nJbalq9LRf2N/3IsoGRNjl6iAlZGRIYYj9VdaWlqOy7L68ssv4erqCldXV1y9ejXHMbOeHhwzZoze\ntY4dOxbNmjUDAEyaNAkzZszAzZs38eDBAyxatAidOnVCeno6nJ2d8d133+m9XSIiosLgVcELK/uu\nlLTFJMeg+9ruiEiMkKmqwlOiAtazZ8/EcKT+unDhAgAgJCREY9nly5fzNV58fDy2bt0KIPMaKfVp\nP30olUrs2LEDzZo1g0qlwty5c1GvXj3UrFkT77//PqKjo1GpUiXs2bNHfFwOERGRMRlQZwDmtp8r\naXsU/Qj9NvRDSnqKTFUVDv3OVxUTSqUSzs7Oevc3NzfXaLO1tRW3YWZmlu36+/fvh42NDWxsbDBx\n4sTcFYvMx+CcPHkSa9euxcaNG/HgwQOkpaWhUqVK6N69OyZMmAA7O7tcb5eIiKiwTGs+Dfcj72PZ\n1WVi26mnpzBh9wQs771cnFy7uFEIfOw1vSU6OhqOjo4AMickdXBwkLkiIiIqylIzUtFpVSecCD4h\naf+u7XeY2WqmTFVJGfqzr0SdIiQiIqLCZ640x5ZBW1DDsYak/X/H/oeNtzbKVFXBYsAiIiKiAudk\n5YQ9w/bAwVJ6ZGj09tE4H3JepqoKDgMWERERFYoaTjWwdfBWmJm8uYY5OT0Zvdb3QnBMsIyVGR4D\nFhERERWaNpXbYHGPxZK2Vwmv0GNdD8SmxMpUleExYBEREVGhGttoLKY3ny5pu/nqJgZvHox0Vc6T\neBcFDFhERERU6L5v/z361+4vadv/cD8+3f+ppC0wMG/bz+t6hsKARURERIXORGGClX1XwrO8p6T9\n74t/Y/75+QCA2bOBxo0B/1w+J9rfP3O92bMNU2tecB4s0sB5sIiIqLCExoXC298bz2KfiW0mChPM\n89qFT7p1E9uWLgV8fXPenr8/4Of35t+XLwMeHjmvx3mwiIiIqNhwLe2KXUN3wcbcRmxTCSr87+oQ\nzPrnhtjm55fzkay3w9XSpfqFq4LAgEVERESyauDSAOv7r4eJ4k0siUuNw7KUHvh1UZjYll3I0hau\n9DniVVAYsIiIiEh23Wt2x++dfpe0PX39FBuVvbFgSZLYpi1kGVu4AhiwiIiIyEh87P0x3vd8X9J2\n4fkFHLcfjcVLVGJb1pBljOEKYMAiIiIiI6FQKPBX17/QqVonSfum25vwtNrXWLr0TZufH+DjY5zh\nCmDAIiIiIiNiamKKjQM2ok7ZOpL27099DzPPFZKQdT7LIwyNKVwBDFhERERkZOws7bBn2B6Usy4n\naffb5YeaHU/C21va39vbuMIVwIBFRERERqiyfWVsH7wdFkoLsS1NlYZuK/ri/IOHkr7nz+d+MtKC\nxoBFRERERqlppaZY3me5pC1BiAKGdQdKRUmOZOkzT1ZhYsAiIiIiozXk3SH4ps030sYy91HrqwE4\neSZV48J3YwlZDFhERERk1Fzu/w+4NkLSdi/1GD7Y8wHGjxeMMmSZyl0AERERkS7+/sCECQpA6Q84\nPAHczojL/r3yL2o61cQXvl8AeDNlg/q/nMmdiIiI6C2SSUQzLPB7k22o6lBV0mf64enYdmcbfH1h\nVEeyGLCIiIjI6AQGak4i+unEstgzbA/sLOzEdgECph2ehrSMNK0hKzCwEIvOggGLiIiIjI6HBzBr\nVubrrJOIvlPmHWwetBlKhRIA0MilEY6NPgYzpRkASELWrFmZ25GDQhAEQZ6hyVhFR0fD0dERABAV\nFQUHBweZKyIiopIqMFB7SFp6eSn2PNiD1f1Ww8bcRu/1dDH0Zx8DFmlgwCIioqJAEAQoFAqDbMvQ\nn308RUhERERFkqHCVUFgwCIiIiIyMAYsIiIiIgNjwCIiIiIyMAYsIiIiIgNjwCIiIiIyMAYsIiIi\nIgNjwCIiIiIyMAYsIiIiIgNjwCIiIiIyMAYsIiIiIgNjwCIiIiIyMAYsIiIiIgNjwCIiIiIyMFO5\nCyDjo1KpxNcxMTHyFUJERFRIsn7eZf0czCsGLNIQGxsrvq5ataqMlRARERW+2NhYODk55WsbPEVI\nREREZGAKQRAEuYsg45Keno5nz54BAGxtbWFikr8cHhMTIx4Je/z4Mezt7fNbIunAfV04uJ8LB/dz\n4eB+zqRSqcQzOJUqVYKpaf5O8vEUIWkwNTVFlSpVCmTb9vb2cHBwKJBtkxT3deHgfi4c3M+Fo6Tv\n5/yeFsyKpwiJiIiIDIwBi4iIiMjAGLCIiIiIDIwBi4iIiMjAGLCIiIiIDIwBi4iIiMjAOA8WERER\nkYHxCBYRERGRgTFgERERERkYAxYRERGRgTFgERERERkYAxYRERGRgTFgERERERkYAxYRERGRgTFg\nERERERkYAxYRERGRgZnKXQAVHcnJydi9ezfOnDmD8PBwODg4oHHjxujXrx9sbW0LbNxvvvkG169f\nBwBUqFABf/75Z4GNZQxUKhWOHTuGQ4cO4fnz57C2tkbt2rUxcOBAlC9fPt/bHzduHGJjY3Ps16tX\nL4waNSrf4xmzwMBA7Ny5E8HBwTAxMUHVqlXRv39/vPPOOwYf6/Hjx9i5cycePHiA169fo0KFCqhT\npw569eoFBwcHg49nTB4/fozNmzfjwYMHSE1NhZubG7p37w4fH598bffWrVuYNWtWrtaZOHEiOnbs\nmK9xjVV4eDg2b96MGzduIDY2Fq6urmjXrh06duwIU1PDfNxnZGTg6NGjOHXqFJ49e4bk5GTY29uj\ndu3a6N69O6pVq2aQcYoFgUgPZ86cESpXriwA0PhycnIStm7dWiDj7t27VzJWrVq1CmQcY/Ho0SPB\nx8dH6362sLAQfvnll3yP4eTkpHX7b399/vnnBnhHxikmJkYYOHCgzvf+3nvvCcnJyQYZKzQ0VBgy\nZIjOsczNzYU///zTIGMZm7S0NOHzzz8XTExMtL73bt26Ca9evcrz9o8dO6bX93LWrzVr1hjwHRqP\nhQsXClZWVlrfc4MGDYTbt2/ne4zTp08LNWrUyHb/Dhs2TIiNjTXAOyr6+CxCytHVq1fRsmVLxMfH\nw9HREe+99x5q166N4OBgLF68GM+ePYNSqcSOHTvQvXt3g40bGxuLunXrIiQkBJaWlkhOTkatWrVw\n9+5dg41hTF69egUfHx88efIE5ubmGD9+PHx8fBAVFYXly5fj2rVrAIC5c+di+vTpeR6nTJkyiIyM\nRJ8+fTB8+HCd/WrVqoV69erleRxjlZaWhk6dOuH48eMAgIEDB6JLly5IS0vDli1bcOjQIQDAkCFD\nsG7dunyNFRwcjLZt2+LJkycwMTFBz5490a5dO5QtWxavX7/G5cuXsW3bNowYMQJ//PFHPt+Z8Zk4\ncSKWLFkCAGjVqhWGDBkCS0tLHDlyBGvXroUgCPDy8sKJEydQqlSpXG8/PDwcJ06cyLHf+PHjERsb\ni1KlSiEsLKxAj7jLYdGiRXj//fcBALVr14avry/Kli2LS5cuYenSpUhKSoKrqyvOnz+PSpUq5WmM\na9euoWnTpkhKSoJCoUC/fv3QqlUrODg4ICgoCCtXrsTDhw8BAG3atMHRo0ehUCgM9h6LJJkDHhk5\nlUolNGrUSDxS9fDhQ8ny8PBwoWbNmgIAwdnZWYiPjzfY2L6+vgIAYeDAgUKDBg2K/RGs0aNHCwAE\npVIpHD58WLIsJSVF6NKli7j87t27eR5HfQRr2rRp+S25SJo3b5741/a8efM0ln/22Wfi8s2bN+d5\nnNTUVKF+/foCAMHR0VE4e/aszn5PnjzJ8zjG6vDhw+J+9PX1FVQqlWT5f//9Jy6fPXt2gdVx8uRJ\ncZwRI0YU2DhyefbsmWBpaSkAEFq2bCkkJiZKlp87d04wNzcXAAh9+vTJ8zi9evUS9+OGDRs0lqel\npQmdO3cW++zatSvPYxUXDFiUrV27dok/MP/884/WPgcOHBD7/PHHHwYZV/3L2c7OTggNDS32ASs4\nOFg8jTJhwgStfUJCQgQzMzMBgDBmzJg8j1WSA1Z6errg7OwsABC8vb219klNTRXc3d0FAELDhg3z\nPNbcuXPFn4uDBw/meTtFVevWrQUAQpkyZYSEhAStfTp27CgAEEqXLq0RDAxl/Pjx4v+HI0eOFMgY\ncvrkk08EAIJCodD5h9fUqVPFfXDjxo08jePo6Jjjz8SFCxfEcUri75e38S5CytamTZsAAObm5hg5\ncqTWPh07doSbm5ukf37Ex8fD19cXAPDTTz/BxcUl39s0dlu2bIFKpQIA8b2/rUKFCujSpQsAYPv2\n7UhLSyu0+oqLkydP4uXLlwAyTxtpY2ZmJl7cf/XqVfG0R25kZGTg77//BgC0b9++2F5UrcvLly9x\n6tQpAMCwYcNgZWWltZ/6ez0uLg4HDhwweB1JSUni76TKlSujbdu2Bh9DToIgYMuWLQCAli1bolat\nWlr7Zf2dsnnz5jyNZWKSGReyu9GmYsWKGv1LMu4BytbJkycBAJ6enrCxsdHaR6FQoHXr1gCAgIAA\npKSk5GvM6dOnIygoCM2bN8eECRPyta2iQr2fS5cuDQ8PD5392rRpAwCIiYkR76wk/an3M/BmX2qT\ndZk+1/hoG+f58+cAkO11bsXV6dOnxT8YCnI/52TLli3iHbNjxowpdtcEPX78GCEhIQCy3881a9aE\nq6srgLzvZy8vLwCZf3SkpqZq7RMQECC+9vT0zNM4xQmnaSCdEhISEBwcDCDzwsnsqG9rz8jIwP37\n9/N8cfTJkyfxzz//wNzcHEuWLCl2vxB1uXXrFoDMX4RKpVJnv6zTB9y+fRuNGzfO15gzZszA06dP\nYWpqivLly6NZs2bo3LkzzMzM8rxdY6bez2ZmZtneTv72fs6trB80zZs3R1paGvbs2YNjx44hIiIC\n9vb28PDwQJ8+feDk5JTr7Rs79X4Gsv/dUa5cOTg4OCA6OjpP+zkny5cvB5D5R+Do0aMNvn256buf\ngczv6dDQ0Dzv5++++w5HjhzBixcv4Ovri/nz58POzk5cfvHiRXz00UcAgGbNmqFv3755Gqc4YcAi\nnV68eAHh/28yrVChQrZ9sy4PCQnJU8BKSkrC+PHjIQgCpk2bhjp16uR6G0WV+mhHbvdzfuzevRu7\nd+/WOsa8efMwcODAfG3fGKn3s6ura7anMNTLVSpVnvbznTt3AABKpRIpKSnw8PDAzZs3NfpNnjwZ\nP/zwAyZNmpTrMYyZej8D+n1PR0dH5/v7+W3Pnj3DsWPHAABt27ZF5cqVDbp9Y5Db/Qxk3q2clpaW\n6z+iPDw8cOLECfj5+WHVqlXYvn076tWrB3t7ewQHB+PWrVvi6fUFCxaUmD+Os8OARTrFxcWJr62t\nrbPtm3V5fHx8nsabOXMmHj58iBo1amDmzJl52kZRpFKpkJiYCKBw9rNCoYCnpydatmwJd3d3lC1b\nFuHh4Th27Bh27dqF58+fY9CgQfjzzz/x8ccf52kMY6X+ns5pPysUCpQqVQoJCQl52s/R0dEAAAsL\nC3Tp0gUvXrxA+/bt0a9fP9jZ2eH27dtYvHgxIiMj8fHHHyMlJQVTpkzJ/RsyUll/d+i6/kpN/f8i\nr9/PuqxcuVI8TTl27FiDbttY5Od3dF4mt23SpAnmzp2LqVOn4u7duzh79qxk+bBhwzBjxgydl5OU\nNAxYpFPW8+w5zQJsbm4uvs7LNVjnzp0TZ2hfvHgxLCwscr2Noqow9zMAXLhwAVWqVNFo/+STT3Dh\nwgX06NED4eHh+Oyzz9ChQ4didSRRva/1mdXa3NwcCQkJedrPSUlJAIDExEQkJiZi9uzZGjOOf/jh\nh2jRogWePHmCGTNmYODAgXB3d8/1WMZIvZ8VCkW2p7yBN9/T+b12820rVqwAANja2qJfv34G3bax\nKMzfHQkJCRg6dCh27doFpVKJgQMHon379rC1tUVwcDDWrFmDFStWYO3atfj333913hRVkvAid9Ip\n61+eOf1Aqj9QgJz/knpbSkoKxo0bB5VKhbFjxxa7O31yYmlpKZ6uKsj9rKYtXKk1adIEq1evBpB5\nPV1xm/xS/T2tzweMel/nZT9n/dmpW7cuvv76a40+5cuXF/dvWloali1blutxjJX6/QuCkOPdrvnZ\nz7qcOXMGDx48AJA5YWxOR9GKqsL6HQ1k3iSwa9cumJmZYc+ePdi4cSMmTpyIoUOHYvr06bhy5QpG\njhyJtLQ0jBo1CocPH871GMUNAxbplPUCxpiYmGz7vn79Wnyd21mSv//+e9y9exdly5bFL7/8kqt1\niwv1PivI/ayvTp06oXr16gAgznZeXKi/p3PazykpKUhOTgaQt/2c9Wenb9++Oq9H6dq1KywtLQFk\nHsUtLvLyu8OQ38/qi9uB4nt6EMjbfjYxMcl1wLp37544vcP48ePRuXNnjT6mpqZYuHCheOrxhx9+\nyNUYxRFPEZJOFStWhIWFBVJSUsS7CXXJulz94ayvwMBAAJm/LCZOnKi1T1BQEIDMC+8HDBgAIPPR\nG8XlGqFq1arh8uXLBbqfc6NWrVp4+PAhQkNDC2wMOVSrVg3Hjx/Hq1evkJSUpPPxLE+fPhVf52U/\n16hRQ3ytniNOGzMzM7i6uuLJkyfi/FzFQdY7NIODg1G2bFmt/QRBwLNnzwAY7vs5KSkJGzduBJB5\n51x+HyhtzN7ez9lRL69atWqu56g6c+aM+FpbuFKztrZGy5YtsXPnTo3rs0oiBizSSalUok6dOrhy\n5QquXLmSbV91SLK1tc32AyU7Dx8+zHFSx7i4OHFiPfVf/sVB/fr1cfnyZTx8+BBxcXEoXbq01n7q\n/QygQJ8TqD7dkPW6jeKgfv364uurV6+iadOmWvvldz83aNBAfK1rzqC3lxen6w6z7ucrV67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ILtVVZW8nZlZGRIvt7zzz/PALCIiAimUqmMklAnJydWXl7Odu7cyRwdHZmTkxMbMWIEGzt2LOvW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\n"
          }
        }
      ],
      "source": [
        "# Downsample wavelengths to speed up the calculation\n",
        "spectrum = ldas[::15]\n",
        "waveguide_mat = approximate_material(\n",
        "    sim_2d, (0.25, 0), (0.25, 0), spectrum, plot=True, max_num_poles=8\n",
        ")"
      ],
      "id": "bb766492"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"a29f162e287d45cc86d17c01db6442ab\",\"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>"
            ]
          }
        }
      ],
      "source": [
        "hole_mat = approximate_material(sim_2d, (1, 0), (0.25, 0), spectrum)"
      ],
      "id": "8fa61005"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We now create the 1D simulation with the calculated mediums:"
      ],
      "id": "c6df03d2-8bdc-4976-ae8c-f1c87daa5e30"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Redo the structures that were in our 2D simulation with our calculated material approximations\n",
        "holes_list_1D = []\n",
        "for h in range(6):\n",
        "    holes_list_1D.append(\n",
        "        td.Box(center=(hole_depth + h * hole_spacing, 0, 0), size=(hole_length, inf, inf))\n",
        "    )\n",
        "holes_geos_1D = td.GeometryGroup(geometries=holes_list_1D)\n",
        "holes_1D = td.Structure(geometry=holes_geos_1D, medium=hole_mat)\n",
        "\n",
        "# Update the size to 1D\n",
        "new_size = list(sim_2d.size)\n",
        "new_size[2] = 0\n",
        "\n",
        "# Update the plane wave source for 1D\n",
        "source_1d = td.PlaneWave(\n",
        "    center=sim_2d.sources[0].center,\n",
        "    size=sim_2d.sources[0].size,\n",
        "    source_time=sim_2d.sources[0].source_time,\n",
        "    direction=sim_2d.sources[0].direction,\n",
        ")\n",
        "\n",
        "# Create the 1D version of our 2D original\n",
        "sim_1d = sim_2d.updated_copy(\n",
        "    size=new_size,\n",
        "    structures=[holes_1D],\n",
        "    sources=[source_1d],\n",
        "    boundary_spec=sim_2d.boundary_spec.updated_copy(z=td.Boundary.periodic()),\n",
        "    medium=waveguide_mat,\n",
        ")"
      ],
      "id": "e754ba77"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, we run both simulations."
      ],
      "id": "c25065ef-3199-460f-9958-2d0cf22cde9e"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">11:23:53 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'var eps'</span> with resource_id                            \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-c3a12ee9-542f-4990-82d9-99c499ae7eaa'</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-c3a12ee9-542f-4990-82d9-99c499ae7eaa\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-c3a12ee9-542</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-c3a12ee9-542f-4990-82d9-99c499ae7eaa\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">f-4990-82d9-99c499ae7eaa'</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\":\"c078a5be92c34d5d9f3696b9a68c69c3\",\"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\">11:23:55 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\">11:23:56 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\":\"d391f088c2e747a4b79d0a888cda09ae\",\"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\">11:24:08 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\">             </span>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"58a63ed7d6014c368b69eaeab5c20190\",\"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\">11:24:10 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">27</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\">11:24:11 UTC </span>status = postprocess                                               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"2918457017cb4f41a6d1a04b36e93e9f\",\"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>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\">11:24:13 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-c3a12ee9-542f-4990-82d9-99c499ae7eaa\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-c3a12ee9-542</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-c3a12ee9-542f-4990-82d9-99c499ae7eaa\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">f-4990-82d9-99c499ae7eaa'</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\":\"d861e31d636b4d4cb6c97131f223ad97\",\"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\">11:24:14 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'var eps'</span> with resource_id                            \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-4147f7d6-cf17-4c20-8fda-98c12335ef52'</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-4147f7d6-cf17-4c20-8fda-98c12335ef52\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-4147f7d6-cf1</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4147f7d6-cf17-4c20-8fda-98c12335ef52\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">7-4c20-8fda-98c12335ef52'</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\":\"8dc9fcae74ee4c519a9da451c7e002ba\",\"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\">11:24:15 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\">11:24:17 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\":\"70f75304c9164ad29eb3f4d2caa4e102\",\"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\">11:24:27 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\">11:24:32 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\":\"5b3f8519501446b8b8395871bd62b9ec\",\"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\">11:24:33 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">24</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-4147f7d6-cf17-4c20-8fda-98c12335ef52\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-4147f7d6-cf1</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4147f7d6-cf17-4c20-8fda-98c12335ef52\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">7-4c20-8fda-98c12335ef52'</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\":\"01c63da4ef1144c99425f3e79e8f1967\",\"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\">11:24:34 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_2d_data = web.run(sim_2d, task_name=\"var eps\")\n",
        "sim_1d_data = web.run(sim_1d, task_name=\"var eps\")"
      ],
      "id": "a62b9479"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Example 1 Result Comparison\n",
        "\n",
        "Now that both the 2D and 1D simulations have run, we will compare their\n",
        "results to see how representative the 1D simulation is. The results of\n",
        "the 1D approximation retain a reasonable qualitative fidelity to the 2D\n",
        "version."
      ],
      "id": "ab381027-a3ff-45e3-83bd-0409c3ac6766"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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9+uHUqVNYtGgRAGD06NG4du2a5KJUs6Vz1apVsW7dujydQ7V2qrmYOj7Nmdiq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\n4k9amvTQQ+ZtXK9eJoTd3v1yfle6EroCQHScDl0DAenss6WSk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tegM86Q6tcPjouLpfvv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IiIIkalSsAPP6glPjMypIejXhX4H3hAPf+OHVIFn4iCxz//yG23558HCgvV76WmykfoSy7x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\nRK5CYII=\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, 2, figsize=(12, 5))\n",
        "\n",
        "ax[0].plot(\n",
        "    td.C_0 / sim_1d_data[\"R\"].flux.f,\n",
        "    sim_1d_data[\"R\"].flux.data,\n",
        "    label=\"1D\",\n",
        "    color=\"red\",\n",
        "    linestyle=\"--\",\n",
        ")\n",
        "ax[0].plot(td.C_0 / sim_2d_data[\"R\"].flux.f, sim_2d_data[\"R\"].flux.data, label=\"2D\", color=\"red\")\n",
        "ax[0].set_title(\"2D vs 1D Reflection\")\n",
        "ax[0].set_xlabel(\"Wavelength (µm)\")\n",
        "ax[0].legend()\n",
        "\n",
        "ax[1].plot(\n",
        "    td.C_0 / sim_1d_data[\"R\"].flux.f,\n",
        "    sim_1d_data[\"T\"].flux.data,\n",
        "    label=\"1D\",\n",
        "    color=\"blue\",\n",
        "    linestyle=\"--\",\n",
        ")\n",
        "ax[1].plot(td.C_0 / sim_2d_data[\"R\"].flux.f, sim_2d_data[\"T\"].flux.data, label=\"2D\", color=\"blue\")\n",
        "ax[1].set_title(\"2D vs 1D Transmission\")\n",
        "ax[1].set_xlabel(\"Wavelength (µm)\")\n",
        "ax[1].legend()\n",
        "\n",
        "plt.show()"
      ],
      "id": "491f8317"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Example 2: Ring Resonator\n",
        "\n",
        "We will now apply this same method to transform a 3D simulation into its\n",
        "2D approximation. We will use a ring resonator and check the\n",
        "transmission of the through ports of both setups.<br><br> First we\n",
        "quickly build the 3D simulation:"
      ],
      "id": "5aa4e62f-e764-46cc-a9cc-e7268c5808c8"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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1110A2heQ37dvn8Y9Ul4gEMCjjz4KAFi4cOGgZ0gl6i8WfkRERESkuttvvx2F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\nBn88bwRGZcQrPRSigMPg1wl2u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14QTTLR0qHSGhwqrcEnG/IwMDkKo/slYHhaHMJDeeYA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\n"
          }
        }
      ],
      "source": [
        "# Define wavelength/frequency ranges\n",
        "lambda_beg = 1.5\n",
        "lambda_end = 1.6\n",
        "freq_beg = td.C_0 / lambda_end\n",
        "freq_end = td.C_0 / lambda_beg\n",
        "freq0 = (freq_beg + freq_end) / 2\n",
        "fwidth = (freq_end - freq0) / 1.5\n",
        "lambdas_ring = np.linspace(lambda_beg, lambda_end, 301)\n",
        "freqs_ring = td.C_0 / lambdas_ring[::-1]\n",
        "\n",
        "# Refractive indices\n",
        "Si_n = 3.4777\n",
        "SiO2_n = 1.444\n",
        "\n",
        "# Materials used\n",
        "Si = td.Medium(permittivity=Si_n**2)\n",
        "SiO2 = td.Medium(permittivity=SiO2_n**2)\n",
        "\n",
        "# Define geometries and their structures\n",
        "h_clad = 2.8\n",
        "h_box = 2\n",
        "h_wafer = 0.5\n",
        "\n",
        "w_wg = 0.5\n",
        "h_wg = 0.22\n",
        "couple_gap = 0.1\n",
        "ring_radius = 5\n",
        "\n",
        "z_wafer = -h_box - h_wafer / 2\n",
        "\n",
        "y_wg = ring_radius + w_wg / 2 + couple_gap + w_wg / 2\n",
        "\n",
        "waveguide_top = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=[0, y_wg, 0],\n",
        "        size=[td.inf, w_wg, h_wg],\n",
        "    ),\n",
        "    medium=Si,\n",
        ")\n",
        "\n",
        "waveguide_bottom = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=[0, -y_wg, 0],\n",
        "        size=[td.inf, w_wg, h_wg],\n",
        "    ),\n",
        "    medium=Si,\n",
        ")\n",
        "\n",
        "wg_ring_geo = td.Cylinder(\n",
        "    center=[0, 0, 0], axis=2, radius=ring_radius + w_wg / 2.0, length=h_wg\n",
        ") - td.Cylinder(center=[0, 0, 0], axis=2, radius=ring_radius - w_wg / 2.0, length=w_wg * 1.5)\n",
        "\n",
        "wg_ring = td.Structure(geometry=wg_ring_geo, medium=Si)\n",
        "\n",
        "x_buffer = 2\n",
        "y_buffer = 1\n",
        "z_buffer = 1\n",
        "\n",
        "z_sim = (h_clad - h_box - h_wafer) / 2\n",
        "h_sim = 3\n",
        "l_sim = 2 * ring_radius + 2 * x_buffer\n",
        "w_sim = 2 * ring_radius + 4 * y_buffer\n",
        "\n",
        "# Create Mode Source\n",
        "wg_insert_x = ring_radius + 0.9 * x_buffer\n",
        "mode_plane = td.Box(\n",
        "    center=[-wg_insert_x, y_wg, 0],\n",
        "    size=[0, 2, 2],\n",
        ")\n",
        "mode_source = td.ModeSource(\n",
        "    size=mode_plane.size,\n",
        "    center=mode_plane.center,\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    mode_index=0,\n",
        "    direction=\"+\",\n",
        "    num_freqs=7,\n",
        ")\n",
        "\n",
        "# Create monitor\n",
        "through_mode_mnt = td.ModeMonitor(\n",
        "    size=mode_plane.size,\n",
        "    center=[wg_insert_x, y_wg, 0],\n",
        "    freqs=freqs_ring,\n",
        "    mode_spec=td.ModeSpec(num_modes=1),\n",
        "    name=\"mode through\",\n",
        ")\n",
        "\n",
        "# Create simulation\n",
        "min_steps_per_wvl = 15\n",
        "run_time = 1e-10\n",
        "\n",
        "sim_ring_3D = td.Simulation(\n",
        "    size=[l_sim, w_sim, h_sim],\n",
        "    center=(0, 0, 0),\n",
        "    structures=[waveguide_top, waveguide_bottom, wg_ring],\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=min_steps_per_wvl, wavelength=td.C_0 / freq0),\n",
        "    sources=[mode_source],\n",
        "    monitors=[through_mode_mnt],\n",
        "    run_time=run_time,\n",
        "    medium=SiO2,\n",
        "    symmetry=(0, 0, 1),  # add symmetry to reduce cost\n",
        ")\n",
        "\n",
        "# Visualize the simulation to check\n",
        "sim_ring_3D.plot(z=0)\n",
        "plt.show()"
      ],
      "id": "b235f17f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Same as before, we’ll calculate the variational effective indices at\n",
        "different input wavelengths, this time downsampled to every 10th\n",
        "wavelength."
      ],
      "id": "49d53cce-8c10-43c9-82a8-592bdb1b9095"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
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              "</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": {
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i01Js1+fia6LcwdraGgAsepQGgyPSytHWEZObTFZ5tvTcUiSnJVuoR0Tmw8CIKHfIDX8X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9HV1YWjR4+iq6sLAPDUU0/B6/VO8mzv3vnz5+Udk5cvX/7XBCQiPSzIJiKaYFarFbNm\nzdI9YHfGjBlwu92ora2dhNlNPLGllpKSwu0p+k9gOCIimmALFy5Eb28vzp49i9bWVty4cQODg4NI\nT0/HokWLsGbNGt0Db/+N0tLS4HK5kJOTA7PZPNnTIbpr3FYjIiIiUmFBNhEREZEKwxERERGRCsMR\nERERkQrDEREREZEKwxERERGRCsMRERERkQrDEREREZEKwxERERGRCsMRERERkQrDEREREZEKwxER\nERGRCsMRERERkQrDEREREZEKwxERERGRCsMRERERkQrDEREREZEKwxERERGRCsMRERERkQrDERER\nEZHK/wCUpv/VS9ducgAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "reference_point = (0, -y_wg)\n",
        "waveguide_point = (0, -y_wg)\n",
        "other_point = (0, 0)\n",
        "\n",
        "# Downsample wavelengths to speed up the calculation\n",
        "spectrum = np.linspace(1.2, 1.9, 101)  # We extend the fitting range over the source spectrum\n",
        "\n",
        "advanced_param = AdvancedFastFitterParam(num_iters=100)\n",
        "ring_waveguide_medium = approximate_material(\n",
        "    sim_ring_3D,\n",
        "    waveguide_point,\n",
        "    reference_point,\n",
        "    spectrum,\n",
        "    plot=True,\n",
        "    tolerance_rms=1e-8,\n",
        "    advanced_param=advanced_param,\n",
        ")"
      ],
      "id": "023f4141"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"60bf4b3392494c0bb3955ca41022240c\",\"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>"
            ]
          }
        }
      ],
      "source": [
        "ring_background_medium = approximate_material(sim_ring_3D, other_point, reference_point, spectrum)"
      ],
      "id": "9d771f71"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As before, we create a 2D copy of the simulation and replace the mediums\n",
        "with those that we just calculated."
      ],
      "id": "0f449957-1daf-4cd3-b7c0-aee07bad9e3b"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Note: removed symmetry, as it is incompatible with the variational approximation method."
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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2xMSJEx1/qyX9m5w5cyYiIiIAAF999VWhl2Xs3r3bMe3/ySefxLhx45wel5WV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\n1v7++29rJlW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          }
        }
      ],
      "source": [
        "sim_ring_2D = create_2D_sim(sim_ring_3D, [ring_waveguide_medium, ring_background_medium])\n",
        "\n",
        "sim_ring_2D.plot_eps(z=0, freq=freq0)\n",
        "plt.show()"
      ],
      "id": "31413acd"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "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\">11:48:21 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'2.5D FDTD ring resonator 2D'</span> with resource_id        \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a3819ed3-056a-4d24-a554-0fc78ef12bf4'</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-a3819ed3-056a-4d24-a554-0fc78ef12bf4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a3819ed3-056</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a3819ed3-056a-4d24-a554-0fc78ef12bf4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">a-4d24-a554-0fc78ef12bf4'</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>"
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              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"8f7da4e200954331a88c3fb4996d394e\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "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\">11:48:23 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.129</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\">11:48:24 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\":\"fc3d3be4aab943c794c7892327e5cf7e\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "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\">11:49:08 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\">11:49:13 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\":\"bf619efd6e454be4a6e03b275b6a416a\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "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\">11:49:20 UTC </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"159899444dff4c67b1340456eb4b224c\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "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\">11:50:52 UTC </span>status = running                                                   \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\">11:51:04 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\">11:52:08 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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">11:52:11 UTC </span>status = running                                                   \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\">11:52:29 UTC </span>status = postprocess                                               \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\">11:52:32 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\">11:52:34 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a3819ed3-056a-4d24-a554-0fc78ef12bf4\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a3819ed3-056</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a3819ed3-056a-4d24-a554-0fc78ef12bf4\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">a-4d24-a554-0fc78ef12bf4'</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\":\"c320c1b4e5c04c3082a94b4f8e26ade6\",\"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\">             </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">11:52:35 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'2.5D FDTD ring resonator 3D'</span> with resource_id        \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-7e7fe076-b195-4c4f-b8b5-aa0788467510'</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-7e7fe076-b195-4c4f-b8b5-aa0788467510\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-7e7fe076-b19</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7e7fe076-b195-4c4f-b8b5-aa0788467510\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">5-4c4f-b8b5-aa0788467510'</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\":\"604623e128654bfdbd115a0280ce8d06\",\"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\">11:52:36 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4.948</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\">11:52:37 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\":\"02e2a1aa682143a1801236252d91a2d9\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "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\">11:52:49 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\">11:52:54 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>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"9e02b9b27d0a452e8afd1cf8c6f7731b\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "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\">12:00:17 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">37</span>%, exiting.                            \n",
              "</pre>"
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          }
        },
        {
          "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>"
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          }
        },
        {
          "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 = postprocess                                               \n",
              "</pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
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              "</script>"
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        {
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          "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\">12:00:20 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\">12:00:22 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7e7fe076-b195-4c4f-b8b5-aa0788467510\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-7e7fe076-b19</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7e7fe076-b195-4c4f-b8b5-aa0788467510\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">5-4c4f-b8b5-aa0788467510'</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\":\"a0e4a98f72f446dbb1ebb77dca3838b5\",\"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\">12:00:23 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data_2D = web.run(sim_ring_2D, task_name=\"2.5D FDTD ring resonator 2D\")\n",
        "sim_data_3D = web.run(sim_ring_3D, task_name=\"2.5D FDTD ring resonator 3D\")"
      ],
      "id": "4faf6919"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Example 2 Result Comparison\n",
        "\n",
        "We will compare the results of our 2D and 3D simulations to see how\n",
        "representative our approximation is. As one can see, the resonant\n",
        "behavior of this setup is well-approximated, especially near the central\n",
        "frequency. The depth of the peaks is lower in the 2D simulation because\n",
        "the 3D simulation takes into account vertical coupling. Toward the ends\n",
        "of the spectrum, there is more error in the free spectral range and\n",
        "resonance frequencies, although this is still well within 1% of the\n",
        "resonant wavelength, as we show for the first resonance. However, the\n",
        "next example will show that this method will not always be a good\n",
        "approximation."
      ],
      "id": "97eaacbf-2cd6-41e9-b881-70b9075bc1e2"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Q7OfSTL/Tu+66C3PmzMGCBQvw008/4ZhjjsHnn38OACgoKMBLL70Ep9MZ8/30uPLKK3Hy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\n6Ek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lxtZll13m+b5f//rXzty5c13ff+ONN5yddtopd82b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\n"
          }
        }
      ],
      "source": [
        "amps_2D = sim_data_2D[\"mode through\"].amps.sel(mode_index=0, direction=\"+\").abs.plot(x=\"f\")\n",
        "amps_3D = sim_data_3D[\"mode through\"].amps.sel(mode_index=0, direction=\"+\").abs.plot(x=\"f\")\n",
        "plt.xlabel(\"Frequency (Hz)\")\n",
        "plt.ylabel(\"|Amplitude|\")\n",
        "plt.legend([\"2D\", \"3D\"])\n",
        "plt.show()"
      ],
      "id": "df405ea7"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "2D Simulation:\n",
            "  Resonance dip wavelengths (µm): [1.591   1.56867 1.54733 1.527   1.507  ]\n",
            "  FSR values (nm): [22.333 21.333 20.333 20.   ]\n",
            "  Mean FSR (nm): 21.000\n",
            "\n",
            "3D Simulation:\n",
            "  Resonance dip wavelengths (µm): [1.581   1.562   1.543   1.52467 1.50667]\n",
            "  FSR values (nm): [19.    19.    18.333 18.   ]\n",
            "  Mean FSR (nm): 18.583\n",
            "\n",
            "Mean FSR difference: 2.417 nm"
          ]
        }
      ],
      "source": [
        "from scipy.signal import find_peaks\n",
        "\n",
        "transmission_2D = sim_data_2D[\"mode through\"].amps.sel(mode_index=0, direction=\"+\").values\n",
        "transmission_3D = sim_data_3D[\"mode through\"].amps.sel(mode_index=0, direction=\"+\").values\n",
        "\n",
        "freqs = sim_data_2D[\"mode through\"].amps.sel(mode_index=0, direction=\"+\").f.values\n",
        "wavelengths = td.C_0 / freqs\n",
        "\n",
        "amp_2D = np.abs(transmission_2D)\n",
        "amp_3D = np.abs(transmission_3D)\n",
        "\n",
        "# Find resonance dips by finding peaks in the negated amplitude\n",
        "dip_indices_2D, _ = find_peaks(-amp_2D, prominence=0.1)\n",
        "dip_indices_3D, _ = find_peaks(-amp_3D, prominence=0.1)\n",
        "\n",
        "dip_wavelengths_2D = wavelengths[dip_indices_2D]\n",
        "dip_wavelengths_3D = wavelengths[dip_indices_3D]\n",
        "\n",
        "fsr_2D = np.abs(np.diff(dip_wavelengths_2D))\n",
        "fsr_3D = np.abs(np.diff(dip_wavelengths_3D))\n",
        "\n",
        "print(\"2D Simulation:\")\n",
        "print(f\"  Resonance dip wavelengths (µm): {np.round(dip_wavelengths_2D, 5)}\")\n",
        "print(f\"  FSR values (nm): {np.round(fsr_2D * 1e3, 3)}\")\n",
        "print(f\"  Mean FSR (nm): {np.mean(fsr_2D) * 1e3:.3f}\")\n",
        "print()\n",
        "print(\"3D Simulation:\")\n",
        "print(f\"  Resonance dip wavelengths (µm): {np.round(dip_wavelengths_3D, 5)}\")\n",
        "print(f\"  FSR values (nm): {np.round(fsr_3D * 1e3, 3)}\")\n",
        "print(f\"  Mean FSR (nm): {np.mean(fsr_3D) * 1e3:.3f}\")\n",
        "print()\n",
        "if len(fsr_2D) > 0 and len(fsr_3D) > 0:\n",
        "    print(f\"Mean FSR difference: {abs(np.mean(fsr_2D) - np.mean(fsr_3D)) * 1e3:.3f} nm\")"
      ],
      "id": "f4080143"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Note on Dispersion: As expected in real optical resonators, you can see\n",
        "that the individual FSR values are not perfectly constant. The spacing\n",
        "gradually shrinks at shorter wavelengths (higher frequencies) due to the\n",
        "waveguide’s group velocity dispersion (GVD).\n",
        "\n",
        "## Strip-to-slot Counter-example\n",
        "\n",
        "This approximation method is not always applicable, and care must be\n",
        "taken to ensure that a given material’s approximation is not too far off\n",
        "from the physical constraints of the original material. If not, this can\n",
        "lead to poor approximations. (One can check this by printing out the\n",
        "$n_{eff}^2 + \\frac{num}{denom}$ value calculated in the variational\n",
        "method function above.) <br><br> We will now show an example where this\n",
        "approximation does not work as well. We will use the first design of our\n",
        "[strip to slot converter\n",
        "example](https://www.flexcompute.com/tidy3d/examples/notebooks/StripToSlotConverters/).\n",
        "First we copy the simulation parameters from the notebook, removing the\n",
        "field monitor, as it will be unnecessary for this illustration:"
      ],
      "id": "85dff337-3901-4e62-b27c-b508c372a263"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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YZYnkdkl+t+RxSYPKpZao9OVmaeVmKcjvHAAA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          }
        }
      ],
      "source": [
        "# Define wavelength/frequency ranges\n",
        "lda0 = 1.55\n",
        "ldas = np.linspace(1.5, 1.6, 101)\n",
        "freq0 = td.C_0 / lda0\n",
        "freqs = td.C_0 / ldas\n",
        "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))\n",
        "\n",
        "# Create materials\n",
        "n_si = 3.47\n",
        "si = td.Medium(permittivity=n_si**2)\n",
        "n_sio2 = 1.44\n",
        "sio2 = td.Medium(permittivity=n_sio2**2)\n",
        "\n",
        "# Define geometry\n",
        "L_mmi = 1.38\n",
        "W_mmi = 1.24\n",
        "L = 6\n",
        "buffer = 5\n",
        "h_si = 0.25\n",
        "w_strip = 0.4\n",
        "w_slot = 0.62\n",
        "g = 0.1\n",
        "\n",
        "vertices = [\n",
        "    (-buffer, w_strip / 2),\n",
        "    (0, w_strip / 2),\n",
        "    (0, W_mmi / 2),\n",
        "    (L_mmi, W_mmi / 2),\n",
        "    (L, w_slot / 2),\n",
        "    (L + buffer, w_slot / 2),\n",
        "    (L + buffer, g / 2),\n",
        "    (L_mmi, g / 2),\n",
        "    (L_mmi, -g / 2),\n",
        "    (L + buffer, -g / 2),\n",
        "    (L + buffer, -w_slot / 2),\n",
        "    (L, -w_slot / 2),\n",
        "    (L_mmi, -W_mmi / 2),\n",
        "    (0, -W_mmi / 2),\n",
        "    (0, -w_strip / 2),\n",
        "    (-buffer, -w_strip / 2),\n",
        "]\n",
        "\n",
        "converter = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h_si / 2, h_si / 2)), medium=si\n",
        ")\n",
        "\n",
        "# Define mode source\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=n_si)\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-lda0, 0, 0),\n",
        "    size=(0, 4 * w_strip, 6 * h_si),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    direction=\"+\",\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=0,\n",
        "    num_freqs=7,\n",
        ")\n",
        "\n",
        "# Define mode monitor\n",
        "mode_monitor = td.ModeMonitor(\n",
        "    center=(L + lda0, 0, 0),\n",
        "    size=(0, 4 * w_strip, 6 * h_si),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode\",\n",
        ")\n",
        "\n",
        "# Define misc. simulation parameters\n",
        "Lx = L + 3 * lda0\n",
        "Ly = W_mmi + lda0\n",
        "Lz = 10 * h_si\n",
        "sim_size = (Lx, Ly, Lz)\n",
        "\n",
        "run_time = 1e-12\n",
        "\n",
        "# construct simulation\n",
        "sim_splitter_3D = td.Simulation(\n",
        "    center=(L / 2, 0, 0),\n",
        "    size=sim_size,\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=30, wavelength=lda0),\n",
        "    structures=[converter],\n",
        "    sources=[mode_source],\n",
        "    monitors=[mode_monitor],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        "    medium=sio2,\n",
        "    symmetry=(0, -1, 1),\n",
        ")\n",
        "\n",
        "# plot the simulation\n",
        "sim_splitter_3D.plot_eps(z=0, freq=freq0)\n",
        "plt.show()"
      ],
      "id": "070ed9eb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we convert the 3D simulation to a 2D simulation, as before."
      ],
      "id": "913477b3-2214-436d-949f-a75711177535"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
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              "</script>"
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          }
        },
        {
          "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\":\"a94ea467d3b94f649ef7e77e0ca43f63\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "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": "stream",
          "name": "stdout",
          "text": [
            "Note: removed symmetry, as it is incompatible with the variational approximation method."
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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zNAEAAAB0n9/vl9/v16ZNm5J+b0lJSVIzOmPP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\nH4pomz+oZ7/cque/3KrqxvyYPdpaotKSyUxIVllZmX74wx9mZN+WFpb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          }
        }
      ],
      "source": [
        "# Approximate materials by downsampling again\n",
        "spectrum = ldas[::15]\n",
        "ref_point = (0, 0)\n",
        "core_point = (0, 0)\n",
        "other_point = (2, 0)\n",
        "\n",
        "waveguide_splitter_mat = approximate_material(sim_splitter_3D, core_point, ref_point, spectrum)\n",
        "background_splitter_mat = approximate_material(sim_splitter_3D, other_point, ref_point, spectrum)\n",
        "\n",
        "sim_splitter_2D = create_2D_sim(sim_splitter_3D, [waveguide_splitter_mat, background_splitter_mat])\n",
        "sim_splitter_2D.plot_eps(z=0, freq=freq0)\n",
        "plt.show()"
      ],
      "id": "fe08d059"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">12:02:24 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'2.5D FDTD splitter 2D'</span> with resource_id              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-b95c998a-4112-45e3-b047-1fe49ed3e8a0'</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-b95c998a-4112-45e3-b047-1fe49ed3e8a0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-b95c998a-411</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b95c998a-4112-45e3-b047-1fe49ed3e8a0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">2-45e3-b047-1fe49ed3e8a0'</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\":\"8e5bb214f2674c269df493d97e801322\",\"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\">12:02:26 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\">12:02:29 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\":\"99308dec2db147428a2cb7789d857a35\",\"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\">12:02:42 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\":\"2288fe8801824da68290b7e2619e4ccc\",\"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\">12:02:46 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">47</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\">12:02:47 UTC </span>status = postprocess                                               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"a960119f8be64ee8b19a379af7bd9155\",\"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>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\">12:02:49 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b95c998a-4112-45e3-b047-1fe49ed3e8a0\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-b95c998a-411</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b95c998a-4112-45e3-b047-1fe49ed3e8a0\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">2-45e3-b047-1fe49ed3e8a0'</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\":\"5df6d1ce17e24efc9a08506834cd8c82\",\"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\">12:02:50 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'2.5D FDTD splitter 3D'</span> with resource_id              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-61fe86a1-7db5-4703-a4bb-85b5ebac28ab'</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-61fe86a1-7db5-4703-a4bb-85b5ebac28ab\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-61fe86a1-7db</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-61fe86a1-7db5-4703-a4bb-85b5ebac28ab\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">5-4703-a4bb-85b5ebac28ab'</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\":\"2b11446841d6403486a54f768bc021f0\",\"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\">12:02:52 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.053</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\">12:02:53 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\":\"092eacf859354451a3d9333c62c76baf\",\"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\">12:03:06 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\">12:03:10 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\">12:03:11 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\":\"8a221d5d6cb6455caac11e6bad772972\",\"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\">12:03:22 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">34</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-61fe86a1-7db5-4703-a4bb-85b5ebac28ab\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-61fe86a1-7db</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-61fe86a1-7db5-4703-a4bb-85b5ebac28ab\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">5-4703-a4bb-85b5ebac28ab'</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\":\"95ae6b895e304c8cb270ddef597c7eed\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "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\">12:03:23 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_splitter_data_2D = web.run(sim_splitter_2D, task_name=\"2.5D FDTD splitter 2D\")\n",
        "sim_splitter_data_3D = web.run(sim_splitter_3D, task_name=\"2.5D FDTD splitter 3D\")"
      ],
      "id": "3bb681e2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Counter-example Results\n",
        "\n",
        "Plotting the mode transmissions from the 2D and 3D simulations, we can\n",
        "see that the 2D transmission is significantly lower than that of the 3D\n",
        "simulation."
      ],
      "id": "97a95753-ffff-4e7b-91f6-4fe7c4bc5914"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "T_2D = np.abs(sim_splitter_data_2D[\"mode\"].amps.sel(mode_index=0, direction=\"+\")) ** 2\n",
        "T_3D = np.abs(sim_splitter_data_3D[\"mode\"].amps.sel(mode_index=0, direction=\"+\")) ** 2\n",
        "\n",
        "# plot the coupling efficiency\n",
        "plt.plot(ldas, T_2D, label=\"2D\")\n",
        "plt.plot(ldas, T_3D, label=\"3D\")\n",
        "plt.xlim(1.5, 1.6)\n",
        "plt.ylim(0, 1)\n",
        "plt.title(\"Strip-to-slot Coupling Efficiency\")\n",
        "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "plt.ylabel(\"Transmission\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "aa4ee5a6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "This shows that, depending on the mode profile in z, we can get\n",
        "differences in permittivity from the variational method that do not\n",
        "accurately capture the physics of the original simulation, as mentioned\n",
        "in Hammer & Ivanova. Therefore care must be taken when deciding on this\n",
        "approximation method, and, when possible, a final validation with a 3D\n",
        "simulation should be run."
      ],
      "id": "6d09a4ba-4df2-4bc0-808c-6ceedfa06e6d"
    }
  ],
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