{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0e1ca3b7",
   "metadata": {},
   "source": [
    "# Defining common photonic crystal structures"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "526ad9d8",
   "metadata": {},
   "source": [
    "This notebook contains grab-and-go functions of popular periodic structures commonly used in photonic crystals and other photonic devices: square/hexagonal arrays of cylinders, slabs with square/hexagonal arrays of holes, rectangular grating, L and H cavities, wood pile, and FCC/BCC crystals. Users can directly copy these predefined functions to your own script and use them directly in building your simulations. More importantly, users can learn the workflow from these examples and build your own periodic [Structures](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Structure.html) using the same principles.\n",
    "\n",
    "For photonic crystal related case studies, please see the [band structure calculation](https://www.flexcompute.com/tidy3d/examples/notebooks/Bandstructure/), the [optimized L3 cavity](https://www.flexcompute.com/tidy3d/examples/notebooks/OptimizedL3/), and the [waveguide polarization filter](https://www.flexcompute.com/tidy3d/examples/notebooks/PhotonicCrystalWaveguidePolarizationFilter/).\n",
    "\n",
    "For how to define common photonic integrated circuit components, please see [here](https://www.flexcompute.com/tidy3d/examples/notebooks/PICComponents/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9a8400aa",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c8bdcab",
   "metadata": {},
   "source": [
    "## Square Array of Cylinders "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45a13e49",
   "metadata": {},
   "source": [
    "The function `square_cylinder_array` returns a square array of cylinders with tunable radius, spacing in both x and y directions, height, and array dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fd2c9c2b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def square_cylinder_array(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    R,\n",
    "    hole_spacing_x,\n",
    "    hole_spacing_y,\n",
    "    n_x,\n",
    "    n_y,\n",
    "    height,\n",
    "    medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # R: radius of the circular holes (um)\n",
    "    # hole_spacing_x: distance between centers of holes in x direction (um)\n",
    "    # hole_spacing_y: distance between centers of holes in y direction (um)\n",
    "    # n_x: number of holes in x direction\n",
    "    # n_y: number of holes in y direction\n",
    "    # height: height of array\n",
    "    # medium: medium of the cylinders\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle slant of cylinders\n",
    "    # axis\n",
    "\n",
    "    cylinder_group = []\n",
    "\n",
    "    start_x, start_y = x0 + hole_spacing_x * (1 - n_x) / 2, y0 + hole_spacing_y * (1 - n_y) / 2\n",
    "    for i in range(0, n_x):\n",
    "        for j in range(0, n_y):\n",
    "            c = td.Cylinder(\n",
    "                axis=axis,\n",
    "                sidewall_angle=sidewall_angle,\n",
    "                reference_plane=reference_plane,\n",
    "                radius=R,\n",
    "                center=(start_x + i * hole_spacing_x, start_y + j * hole_spacing_y, z0),\n",
    "                length=height,\n",
    "            )\n",
    "            cylinder_group.append(c)\n",
    "\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=cylinder_group), medium=medium)\n",
    "\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b96ff7bd",
   "metadata": {},
   "source": [
    "To demonstrate an example, we use the `square_cylinder_array` function and put it into an empty simulation for visualization purposes. By using the `plot_3d` method of the [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) object, we can visualize the defined structures in 3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cf07717c",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = square_cylinder_array(0, 0, 0, 0.3, 0.7, 0.8, 5, 7, 0.4, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 3],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=[s],\n",
    "    run_time=1,\n",
    ")\n",
    "\n",
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1c30257",
   "metadata": {},
   "source": [
    "## Hexagonal Array of Cylinders"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6cec31e5",
   "metadata": {},
   "source": [
    "The function `hex_cylinder_array` returns a hexagonal array of cylinders with tunable radius, spacing in both x and y directions, height, and array dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "573c090b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def hex_cylinder_array(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    R,\n",
    "    hole_spacing_x,\n",
    "    hole_spacing_y,\n",
    "    n_x,\n",
    "    n_y,\n",
    "    height,\n",
    "    medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # R: radius of the circular holes (um)\n",
    "    # hole_spacing_x: distance between centers of holes in x direction (um)\n",
    "    # hole_spacing_y: distance between centers of holes in y direction (um)\n",
    "    # n_x: number of holes in x direction\n",
    "    # n_y: number of holes in y direction\n",
    "    # height: height of array\n",
    "    # medium: medium of the holes\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle slant of cylinders. Add compensation for the box geometry if != 0?\n",
    "    # axis\n",
    "\n",
    "    x_slab_length, y_slab_length = hole_spacing_x * (n_x + 0.5), hole_spacing_y * n_y\n",
    "    start_x, start_y = (\n",
    "        x0 - x_slab_length / 2 + hole_spacing_x / 2,\n",
    "        y0 - y_slab_length / 2 + hole_spacing_y / 2,\n",
    "    )\n",
    "\n",
    "    cylinders = []\n",
    "\n",
    "    for i in range(0, n_x):\n",
    "        for j in range(0, n_y):\n",
    "            c = td.Cylinder(\n",
    "                axis=axis,\n",
    "                sidewall_angle=sidewall_angle,\n",
    "                reference_plane=reference_plane,\n",
    "                radius=R,\n",
    "                center=(\n",
    "                    start_x + (i + (j % 2) * 0.5) * hole_spacing_x,\n",
    "                    start_y + j * hole_spacing_y,\n",
    "                    z0,\n",
    "                ),\n",
    "                length=height,\n",
    "            )\n",
    "            cylinders.append(c)\n",
    "\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=cylinders), medium=medium)\n",
    "\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cebe65ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'cross section at z=0.00 (μm)'}, xlabel='x (μm)', ylabel='y (μm)'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = hex_cylinder_array(0, 0, 0, 0.3, 0.7, 0.8, 8, 10, 0.4, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 3],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=[s],\n",
    "    run_time=1,\n",
    ")\n",
    "\n",
    "sim.plot(z=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc51d319",
   "metadata": {},
   "source": [
    "##  Square Array of Holes"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "403dc13c",
   "metadata": {},
   "source": [
    "The function `slab_square_array` returns a slab with a square array of holes of separately-defined medium. The slab has a tunable hole radius, spacing in both x and y directions, height, and array dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "36e5fef0",
   "metadata": {},
   "outputs": [],
   "source": [
    "def slab_square_array(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    R,\n",
    "    hole_spacing_x,\n",
    "    hole_spacing_y,\n",
    "    n_x,\n",
    "    n_y,\n",
    "    height,\n",
    "    hole_medium,\n",
    "    slab_medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # R: radius of the circular holes (um)\n",
    "    # hole_spacing_x: distance between centers of holes in x direction (um)\n",
    "    # hole_spacing_y: distance between centers of holes in y direction (um)\n",
    "    # n_x: number of holes in x direction\n",
    "    # n_y: number of holes in y direction\n",
    "    # height: height of array\n",
    "    # hole_medium: medium of the holes\n",
    "    # slab_medium: medium of the slab\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle slant of cylinders. Add compensation for the box geometry if != 0?\n",
    "    # axis\n",
    "\n",
    "    start_x, start_y = x0 - hole_spacing_x * (n_x - 1) / 2, y0 - hole_spacing_y * (n_y - 1) / 2\n",
    "\n",
    "    box = td.Box(center=(x0, y0, z0), size=(hole_spacing_x * n_x, hole_spacing_y * n_y, height))\n",
    "    structures = [td.Structure(geometry=box, medium=slab_medium)]\n",
    "    cylinders = []\n",
    "\n",
    "    for i in range(0, n_x):\n",
    "        for j in range(0, n_y):\n",
    "            c = td.Cylinder(\n",
    "                axis=axis,\n",
    "                sidewall_angle=sidewall_angle,\n",
    "                reference_plane=reference_plane,\n",
    "                radius=R,\n",
    "                center=(start_x + i * hole_spacing_x, start_y + j * hole_spacing_y, z0),\n",
    "                length=height,\n",
    "            )\n",
    "            cylinders.append(c)\n",
    "\n",
    "    cylinders_structure = td.Structure(\n",
    "        geometry=td.GeometryGroup(geometries=cylinders), medium=hole_medium\n",
    "    )\n",
    "\n",
    "    structures.append(cylinders_structure)\n",
    "\n",
    "    return structures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3e09b10a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = slab_square_array(\n",
    "    0,\n",
    "    0,\n",
    "    0,\n",
    "    0.3,\n",
    "    0.7,\n",
    "    0.8,\n",
    "    5,\n",
    "    6,\n",
    "    0.4,\n",
    "    td.Medium(permittivity=3.48**2),\n",
    "    td.Medium(permittivity=1.003**2),\n",
    ")\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 10],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=s,\n",
    "    run_time=1,\n",
    ")\n",
    "\n",
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "911c68ba",
   "metadata": {},
   "source": [
    "## Hexagonal Array of Holes"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a847ef2a",
   "metadata": {},
   "source": [
    "The function `slab_hex_array` returns a slab with a square array of holes with separately-defined medium. The slab has a tunable hole radius, spacing in both x and y directions, height, and array dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e2298262",
   "metadata": {},
   "outputs": [],
   "source": [
    "def slab_hex_array(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    R,\n",
    "    hole_spacing_x,\n",
    "    hole_spacing_y,\n",
    "    n_x,\n",
    "    n_y,\n",
    "    height,\n",
    "    hole_medium,\n",
    "    slab_medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # R: radius of the circular holes (um)\n",
    "    # hole_spacing_x: distance between centers of holes in x direction (um)\n",
    "    # hole_spacing_y: distance between centers of holes in y direction (um)\n",
    "    # n_x: number of holes in x direction\n",
    "    # n_y: number of holes in y direction\n",
    "    # height: height of array\n",
    "    # hole_medium: medium of the holes\n",
    "    # slab_medium: medium of the slab\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle slant of cylinders. Add compensation for the box geometry if != 0?\n",
    "    # axis\n",
    "\n",
    "    # define geometry for slab\n",
    "    x_slab_length, y_slab_length = hole_spacing_x * (n_x + 0.5), hole_spacing_y * n_y\n",
    "    start_x, start_y = (\n",
    "        x0 - x_slab_length / 2 + hole_spacing_x / 2,\n",
    "        y0 - y_slab_length / 2 + hole_spacing_y / 2,\n",
    "    )\n",
    "    box = td.Box(center=(x0, y0, z0), size=(x_slab_length, y_slab_length, height))\n",
    "\n",
    "    structures = [td.Structure(geometry=box, medium=slab_medium)]\n",
    "\n",
    "    cylinders = []\n",
    "    for i in range(0, n_x):\n",
    "        for j in range(0, n_y):\n",
    "            c = td.Cylinder(\n",
    "                axis=axis,\n",
    "                sidewall_angle=sidewall_angle,\n",
    "                reference_plane=reference_plane,\n",
    "                radius=R,\n",
    "                center=(\n",
    "                    start_x + (i + (j % 2) * 0.5) * hole_spacing_x,\n",
    "                    start_y + j * hole_spacing_y,\n",
    "                    z0,\n",
    "                ),\n",
    "                length=height,\n",
    "            )\n",
    "            cylinders.append(c)\n",
    "\n",
    "    cylinders_structure = td.Structure(\n",
    "        geometry=td.GeometryGroup(geometries=cylinders), medium=hole_medium\n",
    "    )\n",
    "\n",
    "    structures.append(cylinders_structure)\n",
    "\n",
    "    return structures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3cd7c3e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = slab_hex_array(\n",
    "    0,\n",
    "    0,\n",
    "    0,\n",
    "    0.3,\n",
    "    0.7,\n",
    "    0.8,\n",
    "    8,\n",
    "    10,\n",
    "    0.4,\n",
    "    td.Medium(permittivity=3.48**2),\n",
    "    td.Medium(permittivity=1.003**2),\n",
    ")\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 10],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=s,\n",
    "    run_time=1,\n",
    ")\n",
    "\n",
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48ce0bca",
   "metadata": {},
   "source": [
    "## Rectangular Grating"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44155ddc",
   "metadata": {},
   "source": [
    "The function `grating` returns a rectangular grating, with tunable height, thickness, tooth width, tooth height, tooth spacing, and tooth number."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e4a205f0",
   "metadata": {},
   "outputs": [],
   "source": [
    "def grating(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    tooth_width,\n",
    "    tooth_height,\n",
    "    spacing,\n",
    "    base_height,\n",
    "    thickness,\n",
    "    tooth_number,\n",
    "    medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the grating (um)\n",
    "    # y0: y coordinate of center of the grating (um)\n",
    "    # z0: z coordinate of center of the grating (um)\n",
    "    # tooth_width: width of each grating tooth (um)\n",
    "    # tooth_height: height of each tooth (um)\n",
    "    # spacing: spacing between teeth (um)\n",
    "    # base_height: height of underlying base (um)\n",
    "    # thickness: width of underlying base (um)\n",
    "    # tooth_number: number of teeth in grating\n",
    "    # medium: medium of the grating\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle of slant\n",
    "    # axis\n",
    "\n",
    "    x_length, z_length = (\n",
    "        (tooth_width + spacing) * tooth_number - spacing,\n",
    "        tooth_height + base_height,\n",
    "    )\n",
    "    start_x, start_z = x0 - x_length / 2, z0 + z_length / 2\n",
    "\n",
    "    axisArray = [0, 1, 2]\n",
    "\n",
    "    # create list of points as vertices for polyslab\n",
    "    points = [(start_x, start_z), (start_x + tooth_width, start_z)]\n",
    "    prevPoint = points[-1]\n",
    "    # adding points for teeth\n",
    "    for i in range(0, tooth_number - 1):\n",
    "        points.append((prevPoint[0], prevPoint[1] - tooth_height))\n",
    "        points.append((prevPoint[0] + spacing, prevPoint[1] - tooth_height))\n",
    "        points.append((prevPoint[0] + spacing, prevPoint[1]))\n",
    "        prevPoint = (prevPoint[0] + spacing + tooth_width, prevPoint[1])\n",
    "        points.append(prevPoint)\n",
    "    points.append((prevPoint[0], prevPoint[1] - z_length))\n",
    "    points.append((prevPoint[0] - x_length, prevPoint[1] - z_length))\n",
    "\n",
    "    grating = td.PolySlab(\n",
    "        vertices=points,\n",
    "        axis=axisArray[axis - 1],\n",
    "        slab_bounds=(-thickness / 2, thickness / 2),\n",
    "        sidewall_angle=sidewall_angle,\n",
    "        reference_plane=reference_plane,\n",
    "    )\n",
    "\n",
    "    structure = td.Structure(geometry=grating, medium=medium)\n",
    "\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3cac81e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = grating(0, 0, 0, 0.2, 0.1, 0.3, 3, 4, 12, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 10], grid_spec=td.GridSpec.auto(wavelength=1.55), structures=[s], run_time=1\n",
    ")\n",
    "\n",
    "sim.plot(y=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be33cdad",
   "metadata": {},
   "source": [
    "## L Cavity"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0de5a80",
   "metadata": {},
   "source": [
    "The function `hex_l_cavity` returns a hexagonal array of cylinders with an L cavity. It has tunable cylinder radius, cylinder spacing, height, cavity size, and separately tunable radii of cavity-bordering cylinders."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2c257568",
   "metadata": {},
   "outputs": [],
   "source": [
    "def hex_l_cavity(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    R,\n",
    "    side_R,\n",
    "    spacing_x,\n",
    "    spacing_y,\n",
    "    n_x,\n",
    "    n_y,\n",
    "    l_number,\n",
    "    height,\n",
    "    medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # R: radius of the cylinders (um)\n",
    "    # side_R: radii of the two ends of the L-cavity (um)\n",
    "    # hole_spacing_x: distance between centers of cylinders in x direction (um)\n",
    "    # hole_spacing_y: distance between centers of cylinders in y direction (um)\n",
    "    # n_x: number of cylinders in x direction\n",
    "    # n_y: number of cylinders in y direction\n",
    "    # l_number: number of cylinders removed from center (along x direction)\n",
    "    # height: height of cylinders\n",
    "    # medium: medium of the cylinders\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle slant of cylinders\n",
    "    # axis\n",
    "\n",
    "    cylinders = []\n",
    "    if n_y % 2 == 0:\n",
    "        n_y -= 1  # only odd numbers for n_y work for symmetry\n",
    "\n",
    "    n_middle = n_x - n_x % 2 + l_number % 2\n",
    "\n",
    "    for i in range(-(n_y // 2), n_y // 2 + 1):  # go up columns\n",
    "        n_row = (\n",
    "            n_middle + (i % 2) * (-1) ** l_number\n",
    "        )  # calculates number of cylinders in current row\n",
    "        for j in range(-n_row + 1, n_row + 1, 2):  # go along rows\n",
    "            if i != 0 or abs(j) > l_number:  # don't populate cavity with cylinders\n",
    "                var_radius = R\n",
    "                if i == 0 and (abs(j) == l_number + 1):  # checks if cylinder is on side of cavity\n",
    "                    var_radius = side_R\n",
    "                c = td.Cylinder(\n",
    "                    axis=axis,\n",
    "                    sidewall_angle=sidewall_angle,\n",
    "                    reference_plane=reference_plane,\n",
    "                    radius=var_radius,\n",
    "                    center=(x0 + j * spacing_x, y0 + i * spacing_y, z0),\n",
    "                    length=height,\n",
    "                )\n",
    "                cylinders.append(c)\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=cylinders), medium=medium)\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "86418339",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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x48bB7/fjjTfegFqtxjXXXAMAePzxx/HVV19h2bJlKC4uRkdHB55//nkUFBRETe/A5ribbroJ7733Hu666y5s3rwZF1xwAQKBAI4cOYL33nsPX3zxBWbMmIExY8bgV7/6FX73u99h/vz5uPrqq6HX67Fnzx7k5eXhiSeeABAK4i+88AJ+//vfY8yYMcjKygpvYBiIVqvFn/70J9xyyy1YsGABVq5cGU7rUVJSggceeICv2wYxd+5cpKWlYdWqVfjpT38KiqLwxhtvRBQN06dPx5o1a/Dggw+iqqoKJpMJV1xxRcTz/vSnP0VnZydWr16Nd999d9B7kyZNwqRJkwDwW8NWUFCA+++/H3/5y1/g8/lQVVWFDz/8ENu2bcNbb701aKrw4Ycfxuuvv45Tp06F88b94Ac/wOzZs3HLLbegtrYWGRkZeP755xEIBPDb3/520LX+8pe/4Morr8Qll1yC66+/HjU1NXj22Wdx++23n5VWZCgGgwGXXHIJNmzYgMcff/ys99etW4cbbrgBF154Ierr6/HSSy8hMTERX375JaqqqvC9732P83cTCZ/PF86DSCAohiJ7UwkEQpgzZ87QN998M52ZmUnr9Xp61KhR9D333EN7PB6apvvTekRK/UHToTQeZWVltFarpbOzs+m7776bttls4fdPnjxJ33rrrfTo0aNpg8FAp6en04sWLaI3bNgQbrNx40b6qquuovPy8midTkfn5eXRK1euPKvM0FDYHuf1euk//elP9MSJE2m9Xk+npaXR06dPp3/729/Sdrt9UNt//vOf9NSpU8PtFixYQK9fvz78fltbG71s2TI6KSmJBhBO8TE0rQfDmjVrwudLT0+nb7jhhrPKHK1atYo2Go1nfT4mJUQstm/fTs+ePZtOSEig8/Ly6NWrV9NffPHFWfb09vbSP/zhD+nU1FQaQNQUHwsWLBg2RcfAtBV8CQQC9B/+8Ae6uLiY1ul09MSJE+k333zzrHZMypNTp04Ner2rq4u+7bbbaLPZTCcmJtILFiwY9jf6wQcf0FOmTKH1ej1dUFBAP/LII7TX62Vl53/+8x+aoqhBqUGYtB5/+MMf6CVLltB6vZ4uLS2l33//ffqXv/wlnZiYSP/2t7+labrfh0NTzwzn8wULFtATJ04c9Nrnn39OA6CPHTvGymYCQQoompZg7JhAIBAIBBEIBAIoLy/Htddei9/97ncAQpUOSktL8eqrr+JHP/qR5DYsX74cFEWFp1wJBCUga9gIBAKBELeo1Wo8/vjjeO6559Db2yv79evq6vDJJ5+ExSKBoBREsBEIBAIhrrnuuuvQ1dUVtZSXVEyYMAF+v591vkQCQSqIYCMQCAQCgUCIc8gaNgKBQCAQCIQ4h4ywEQgEAoFAIMQ5JA8bS4LBIFpaWpCUlERqyREIBAKBQBAMTdPo6elBXl5e1LrNABFsrGlpacH//d//QaMR/ytjklQy2d0Zpw3MDC4FNE3DZrOBpmloNBpoNBr4/X74/X7odLpwJny5Zs0pioJer0cwGITX6z3LJrkY+NkBDLJJLog/+iH+CEH80Q/xRz/nmz8oikJaWtpZAycURQ2KnSqVChRFgaZpwfV8ucAnnv/hD39AY2NjzHq5RLCxJCkpCRqNBomJiTFVMFdomobP5xuUXVyr1Uo+kkfTNEpKSsLXdblc4TJBKpUKKSkpkgjUaPj9ftjt9vCP3Wg0IjExUVYbgsEgHA5HuBSPVqtFcnKy6H6PBfFHCOKPfog/+iH+CHG++SMQCMBisUSMj8FgEH6/PxzTVCqV7L8JrvGc+e0kJSXFPDcRbCxhvmyVSgWtViv6+Yc+IUn9IwsGgwgGg9Dr9dDpdABCZWAYGwwGA5KTkyW1YTh8Ph/cbjcAID09XfaOBwjdYBaLBQBgNpvDtRHlhPijH+KPfog/QhB/9HM++cPr9UKlUoX/hsLENiAUS5XwB5d4zghtNgM0ZNNBHOD3++H1ekFRFCiKgtfrlXVIHQj9yK1WKyiKgsFggNvtRk9Pj6w2AEBPTw/cbjcMBgMoioLVapV1OBsIdQhWqxVarRZarRZWq1XW6QWA+GMgxB/9EH+EIP7oh/ijH4/Hg2AwGJ4OZf4tJ1LGcyLYFGagcw0GQ/jGl1O0MTebz+dDRkYGzGYzkpOT4XA4ZL3penp64HA4kJycDLPZjIyMDPh8Plk7Qa/XC4vFAq1Wi4yMDGRkZISfXuXqBIk/+iH+6If4IwTxRz/EH/14PB74/X5oNBokJCRAp9OBpmlZRZvU8ZwINgUZ6Fxm6FalUkGv18sm2obebMz0aFJSkqw33cDOj5nL1+l0snaCAzs/s9kc9ofZbJatEyT+6If4ox/ijxDEH/0Qf/QzUKwx08EajUZW0SZHPCeCTSEiOZdBLtEWDAbR3d191s3GINdNF6nzY5CrE4zU+THI1QkO1/kxEH+EIP7oh/ijH+KPEOebPyKJNQa5RJtc8ZwINgWI5lwGqUUbTdMIBALw+/0RbzYGqW+6aJ0fg9SdYLTOj0HqTjBW58dA/BGC+KMf4o9+iD9CnC/+iCbWGKQWbXLGcyLYZIaNcxmkEm3BYDCcHyctLW3Ym41BqpuOTefHIFUnyKbzY5CqE2Tb+TEQf4Qg/uiH+KMf4o8Q57o/mJgYTawxSCXa5I7nRLDJCBfnMogt2gaKNY1GwzpFidg3HZfOj0HsTpBL58cgdifItfNjIP4IQfzRD/FHP8QfIc5Vf/j9fgQCAVZijUFs0aZEPCeCjQNqtZp31mY+zmUQS7QNFGtMJmouiHXT8en8GMTqBPl0fgxidYJ8Oz8G4o8QxB/9EH/0Q/wR4lzzh9PpRDAYhFqt5pxvTizRJmY852IDEWwc8fl8nJ0sxLkMQkXbULE2MAszF4TedEI6PwahnaCQzo9BaCcotPNjIP4IQfzRD/FHP8QfIc4lf/T29kKlUvG2QahoEzuec4nlRLBxgHEsFyeL4VwGvqJtqFgTWkWB700nRufHwLcTFKPzY+DbCYrV+TEQf4Qg/uiH+KMf4o8Q54o/TCaT4BjGV7RJEc85HcP7auchzLovtk4W07kMXEWb2GKNgetNJ2bnx8C1ExSz82Pg2gmK3fkxEH+EIP7oh/ijH+KPEOeCP4xGoyg2cBVtUsVzLqUuiWDjCDMUG8vJUjh3oA1sRJtUYo2B7U0nRefHwLYTlKLzY2DbCUrV+TEQf4Qg/uiH+KMf4o8QxB/9sBVtUsZzNjVEGYhg40EsJ0vpXIZYok1qscYQ66aT8mZjiNUJStn5McTqBKXu/BiIP0IQf/RD/NEP8UcI4o9+4iGes4UINp4M52Q5nTucaJNLrDEMd9PJcbMxDNcJytH5MQzXCcrV+TEQf4Qg/uiH+KMf4o8QxB/9xEM8Z2Wnolcf4TBCyOv1wuPxQKvVyu5cRrR5PJ7wDefz+WQTawzMDeVwOMKvyXWzMTCdoMVigdVqRXJyMqxWqyydHwPTCVqtVlgsFpjNZjgcDtk6PwbijxDEH/0Qf/RD/BGC+KOfeIjnsSCCTSCMkz0eDzwejyLOZUSb2+2Gx+MBAOj1etnEGsPQm07Om42B6QQ7Oztle1IdCtMJWiwWWCwWAEBmZqZsnR8D8UcI4o9+iD/6If4IQfzRTzzE82jEhxUEAoFAIBAIhGGJO8HW3NyMG2+8EWazGQkJCaisrMTevXujHrNlyxZMmzYNer0eY8aMwWuvvXZWm+eeew4lJSUwGAyYNWsWdu/eLYq9zBz3wJwqUhSYjQazZg1A+GlAioLxsRi45kDKgr/RYNaAME+ufr9fkgLM0WDWgPj9/vC0ghQFmGNB/BGC+KMf4o9+iD9CEH/0Ew/xPBpxJdhsNhsuuOACaLVafP7556itrcWTTz6JtLS0YY85deoUli1bhkWLFuHbb7/F/fffj9tvvx1ffPFFuM2aNWvw4IMP4rHHHkN1dTUmT56MpUuXoqOjQ5C9QxckSlVgNhqRNhhIUTA+FkMXiEpV8DcaQxfs6vV6SQowR2Pogl29Xi9JAeZYEH+EIP7oh/ijH+KPEMQf/cRDPI8FRfMtjikBv/jFL7B9+3Zs27aN9TEPPfQQPv30U9TU1IRfu/7669Hd3Y1169YBAGbNmoWqqio8++yzAEI/0sLCQtx33334xS9+EfG8zBw2g8PhwAsvvACTyQStVht194hcO0ui7QaNtVM0GAwiGAwiNzdX8FqFaLt55NrpE213lVw7r6LtrpJz5xXxRwjij36IP/oh/ggxUv3h9XrR2toKlUol2nejZDz3+Xz45S9/CbvdjuTk5Kht42qE7eOPP8aMGTOwYsUKZGVlYerUqXj55ZejHrNz504sWbJk0GtLly7Fzp07AYScu2/fvkFtVCoVlixZEm4TiSeeeAIpKSnhv8LCwvB7sRwohzKPJcjEKhgfi1gdnBxPSrE6OLEKMEcjVgcnVgHmWBB/hCD+6If4ox/ijxDEH/3EQzxnS1wJtpMnT+KFF17A2LFj8cUXX+Duu+/GT3/6U7z++uvDHtPW1obs7OxBr2VnZ8PhcKCvrw8WiwWBQCBim7a2tmHP+/DDD8Nut4f/GhsbAYR+6GzUtpROZptnTWrRxvZpVMqbju3TqJSdINunUak7QeKPEMQf/RB/9EP8EYL4ox+2o2dSxnMuk5xxJdiCwSCmTZuGP/zhD5g6dSruvPNO3HHHHXjxxRdlt0Wv14cXPzJ/FEXB7/ezHhqVwslck+JKJdq4Th1IcdNxnTqQohPkOnUgVSdI/BGC+KMf4o9+iD9CnAv+cDqdotjAdapTqnju8/lYt48rwZabm4vy8vJBr02YMAENDQ3DHpOTk4P29vZBr7W3tyM5ORkJCQnIyMiAWq2O2CYnJ4eTfYxDucxji+lkvhUMxBZtfNd5iNkJ8l3nIWYnyHedh9idIPFHCOKPfog/+iH+CHGu+KO3t1dwDOO7Lk2KeM6FuBJsF1xwAY4ePTrotfr6ehQXFw97zJw5c7Bx48ZBr61fvx5z5swBEPrBT58+fVCbYDCIjRs3httwQavVcl50KIaThZabGiraAoEAZxsA4YtyxegEhS7KFaMTFLooV6xOkPgjBPFHP8Qf/RB/hDiX/GEymcJLk/ggdBOB2PGcSyyPK8H2wAMP4JtvvsEf/vAHHD9+HG+//TZeeukl3HPPPeE2Dz/8MG6++ebwv++66y6cPHkSq1evxpEjR/D888/jvffewwMPPBBu8+CDD+Lll1/G66+/jrq6Otx9991wOp245ZZbONkXCARAURSvzybEyWLVBh0q2rj+0MTaQSWkExRrB5WQTlCsHVRCO0HijxDEH/0Qf/RD/BHiXPOH0WiESqVCIBDgPEIl1o5PMeM5FxviSrBVVVXhgw8+wDvvvIOKigr87ne/wzPPPIMbbrgh3Ka1tXXQFGlpaSk+/fRTrF+/HpMnT8aTTz6JV155BUuXLg23ue666/C///u/ePTRRzFlyhR8++23WLdu3VkbEaSGj5PFLuQ+ULT5/X7W8+dib3fn0wmKvd2dTyco9nZ3vp0g8UcI4o9+iD/6If4Ica76Q6PRQK1Ww+/3sxZtYqfnUCKex1UetnjG4XDgT3/6UzgPmxDY/nDEFmsDCQQC8Hq9MBgMyMrKinojS5mbiO25pcxNxPbcUuYm4nJu4o8QxB/9EH/0Q/wR4lz1x8A8bD6fD36/P5wwfjikzKUmNJ6P2Dxs5wtslLmUYg0AKIqCWq2GRqOJ+qQkdSJJNk+uUieSZPPkKnUiSbZPrsQfIYg/+iH+6If4I8T54g+mIkG0kTapE9/KGc+JYFOIaE6WWqwxqFQqpKamDnvTyZX1O1onKFfW72idoFxZv2N1gsQfIYg/+iH+6If4I8T55o9ook2uqkNyxXMi2BQkkpPlEmsMw910ct1sDJE6Qbk6P4ZInaCcJVoA4o+BEH/0Q/wRgvijH+KPfiKJNrnEGoMc8VxaNUCICeNAr9cLt9sdfl0OscbA3HRWqxUWiwV6vR5ut1u2m42BuZbD4YDX64XH45Gt82NgOkGLxQKLxQIgdOPL0fkxEH/0Q/zRD/FHCOKPfog/+mHWsPn9fgSDQdA0LZtYY5A6npMRtjhgoDKXa2RtKMxNR9M03G43DAaDrDcbQ1JSEgwGA9xuN2ialrXzY9DpdDCbzfD5fPD5fDCbzbJ1fgzEH/0Qf/RD/BGC+KMf4o9+GHHGCDY5xRqDlPGcCLY4YGh5Cp/Pp0iB2YElPzwej2QFf6PBPKlGskkugsEgHA5H+N8Oh4P4I4JNckH80Q/xRz/EHyGIP/rx+/2DanNyKfskFlLGcyLYFGbgHLder4der5ekwGwsBq45yM3NlazgbzQGrgHJzc2VrOBvNAauAcnMzERmZqYkBZhjQfwRgvijH+KPfog/QhB/9DNwzVpCQkLM3aNSIHU8J4JNQSItSJSiwGwshi4QlargbzQiLdiVogBzNCIt2JWiAHMsiD9CEH/0Q/zRD/FHCOKPfiJtMGCT8kNM5IjnRLApRLTdI3KKNqfTGXE3j5w3XbTdVXJ1gtF2V8nZCQ63u4r4g/iD+IP4g4H4o59ou0HlEm1yxXMi2BSAzVZfOUSb3+9Hb2/vsLt55Ljp2GyFl7oTZLMVXo5OMNZWeOKPfog/+iH+CEH80c/54g82qTukFm1yxnMi2GSGS14WKUUbU/zdZDJF3c0j5U3HJW+RVJ0gl7xFUnaCbPMWEX/0Q/zRD/FHCOKPfs51fzDlFdmk7pBKtMkdz4lgkxE+SfSkEG0ejweBQAAqlQpGozFmeyluOj5JJsXuBPkkmZSiE+SaZJL4ox/ij36IP0IQf/RzrvojGAxyToortmhTIp4TwcYBIflchGQ8FlO0eTwe+P3+cB1Rtoh50wnJCC5WJygkI7iYnSDfjODEH/0Qf/RD/BGC+KOfc80fTMF3PklxxRJtYsbzgWlIYkEEGwcoioLf7+d8nBjlKcQQbYxYY87FFTFuOjHKtwjtBMUo3yJGJyi0fAvxRz/EH/0Qf4Qg/ujnXPKHzWYTVMFAqGgTO55zyRVHBBsHaJoOO4stYtYSEyLaBoo1poQHH4TcdGLW2uPbCYpZa09IJyhWrT3ij36IP/oh/ghB/NHPueIPjUYDtVoNiqJ428FXtEkRz7lABBsHgsEgVCoVayeLXfgV4CfaxBJrDHxuOikKI3PtBKUojMynExS7MDLxRz/EH/0Qf4Qg/ujnXPBHamqqKP7gKtqkiuecliYJvuJ5BvMFx3KyFM4daANb0Sa2WGPgctNJ0fkxsO0Epej8GLh0gmJ3fgzEH/0Qf/RD/BGC+KMf4o9+2Io2KeM5l89DBBsPYjlZSucysBFtUok1BjY3nZQ3G0OsTlDKzo+BTScoVefHQPzRD/FHP8QfIYg/+iH+6Cce4jlbiGDjyXBOltO50USb1GKNIdpNJ8fNxjBcJyhH58cQrROUuvNjIP7oh/ijH+KPEMQf/RB/9BMP8ZwNRLAJYKiTlXBuJNEml1hjiHTTyXmzMQztBOXs/BgidYJydX4MxB/9EH/0Q/wRgvijH+KPfuIhnseCorkkATmPcTgc+NOf/gSj0XiW47xeLwKBQPjfOp0OarVaVvuYrM8MarU66g0fDAZB0zQyMzOh1WpFsYGmadhstvA2Za1Wi7S0NEG7efjgdDrR29sLIJSKJS0tTbTPyBafzwebzRbOsWMymVglKRYT4o9+iD/6If4IQfzRz0jyh8/nQ2dnJyiKkkTIyR3P/X4/fvWrX8FutyM5OTlqW+Ul4wiC+TEPne9Xq9Xh1yiKAkVRktRuiwbz42VsHGhTJBjBxlQ9EAuDwRC+wfR6vaQFd4dDpVKFxaparUYgEBD1M7LFYDCEr6tSqeB2uxWxgfgjBPFHCOKPwTYQf4QYKf7w+/0IBoOSCet4iOfDQQQbB7q7u1FcXAyDwRB+jXkqYKYmPR6PIk8nzFOaXq+H1+uFRqOJ+rTo8/ng8Xhw+eWXIyUlRVZbCQQCgUDgg91ux2effQa9Xi/6SKQS8ZyLMCaCjQPBYHBQsjtmzUEwGERWVhZ0Ol14/l+j0cgy/w+EFoi6XC6kpqYiKSkpPP/vcDiizv8HAgGkpKQgPT1dFjsJBAKBQBCKRqOBVqsVdZ2fUvGcS/UksumAJ8MtEBW74G8sIi0QlaLgL4FAIBAI5yLxEs9jQQQbD2Lt5pHLydF28xDRRiAQCARCdOIlnrOBCDaOsN16LbWT2Wy9JqKNQCAQCITIxEs8ZwsRbBxxOBys8+RI5WQueXKIaCMQCAQCYTBc895JFc9dLhfrtkSwcUCn0yEQCHBKaii2k/kkNSSijUAgEAjnCkJjGN8kxVLEc6fTybo9EWwcUKlUSElJ4bwzRSwnC8lAPVS0kXzJBAKBQBiJeL3ecIJdrgitKCF2POeSMoSk9eCAx+PhXZ6CEVgOh2PQv9kiRrkQRrRZLBbYbDYkJCTwOg+BQCAQCEpBURRsNhvn1B5ilf8SM55zqaJARtg4IHRUiq8yF7O2GyPa/H7/oFJWBAKBQCCMBJjankMLxkdD7FqtSsRzIthkhquTpSjEq9PpkJaWRqZFCQQCgTDiGFhzlY1oE1usMcgdz4lgUwC2TpZCrDGInSWaQCAQCAS5oCgKZrM5pmiTSqwxyBnPiWBTiFhOllKsMQxXsopAIBAIhHhHpVJFFW1SizUGueI5idgKMpyT5RBrBAKBQCCMdIYTbXKJNQY54jnZJaowQ3ebMP9PxBqBQCAQCLFhRJvVaoXFYoHZbOaU5F4spI7nRLDFAUOdTMQagUAgEAjsYUSbxWKBxWIBAGRmZsq+VlvKeE6mRAkEAoFAIBDiHCLY4oCBc9zxUGCWQCAQCISRBLNmze/3h6dBueRpEwsp4zmZElWY4RYk8s2gTCAQCATC+USkDQYD17TJtY5N6nhORtgUZDjnil1glkAgEAiEc5HhdoPGSvkhNnLEcyLYFCLWVl85RFswGJTkvAQCgUAgSE2s1B1yiTa54jkRbArANi+LlKLN5/ORWqIEAoFAGJHQNM0qz5rUok3OeE4Em8xwTaInhWjzer2w2WygKEqU8xEIBAKBIBc0TcNms7HOsyaVaJM7npNNBxwQKnD4ZjwemtdFyMJFr9cLi8UCjUZDaokSCAQCYcTh9Xrh9/uRlZXFOo4NTa4rdCOCWPFcrVazPjauR9j++Mc/gqIo3H///VHbrV27FmVlZTAYDKisrMRnn3026H2apvHoo48iNzcXCQkJWLJkCY4dO8bZHr1eD7/fz/k4QHh5CjFG2hixptVqkZaWRkbYCAQCgTDioGkaaWlpnAWXWCNtYsZzl8vF+ri4FWx79uzB3//+d0yaNClqux07dmDlypW47bbbsH//fixfvhzLly9HTU1NuM2f//xn/O1vf8OLL76IXbt2wWg0YunSpXC73ZxsCgaDsNvtnJ0sVi0xIaJtoFgzm81ErBEIBAJhRKLT6aDVankdK1S0iR3PnU4n62PiUrD19vbihhtuwMsvv4y0tLSobf/617/i0ksvxf/8z/9gwoQJ+N3vfodp06bh2WefBRBS4s888wweeeQRXHXVVZg0aRL+9a9/oaWlBR9++CEnu7xeL9RqNScni13InY9oGyrWVKq4dDuBQCAQCDERGsP4ijYp4rnRaGTdPi4j9z333INly5ZhyZIlMdvu3LnzrHZLly7Fzp07AQCnTp1CW1vboDYpKSmYNWtWuE0kPB4PHA7HoD8gVBeMrZPFdi4DF9FGxBqBQCAQCIPhKtqkiueJiYms28Zd9H733XdRXV2NJ554glX7trY2ZGdnD3otOzsbbW1t4feZ14ZrE4knnngCKSkp4b/CwkIA7J0slXMZ2Ig2ItYIBAKBQIhMvMRztsRVBG9sbMTPfvYzvPXWWzAYDIra8vDDD8Nut4f/Ghsbw+/FcrJczo0m2ohYIxAIBAIhOvESz9kQV1F837596OjowLRp06DRaKDRaLB161b87W9/g0ajQSAQOOuYnJwctLe3D3qtvb0dOTk54feZ14ZrEwm9Xh8u3sr8DWQ4J8vt3Eii7XwVazRNw9HnQaejDy6PT2lzWBOy24tOhwvOEWZ3zwi1u9cdsrvX7QNN00qbxIqQ3b7v7PaOGLsBwOkJ2d3TNzLtdowwu10eHzodfXD0eUaU3UoRL/E8FnGVh23x4sU4dOjQoNduueUWlJWV4aGHHoqYr2TOnDnYuHHjoNQf69evx5w5cwAApaWlyMnJwcaNGzFlyhQAofwnu3btwt133y3I3qF5XfR6Pdxut+zOHZjXxev1wuPxnFdi7XSnHZtrm3C4yTpIOKSbDJhanIlF5YUwJyUoaGFkGiwObK5tQk2TBb3ufrvTjHpMKc7EovIiZCbHn91N1h5srm3EoUYLeobYPakoExeVFyIrhf26DLlotvViy+FGHGy0wNHX/xSdkqjHpKIMXFReiJxU9guA5aK124nNtY042GCB3eUJv56coMOkwgwsmliIvDSTghZGpt3uwubaRhw404nuAXYnGbSoLMzAovJCFJiVD4JD6XSE7P72TCdszn67TQYtKgoysKi8AEUZyVHOoAzWnj5srm3E/jOd6Ortz4Bg1GtRUWDGwvJClGTGn93xQrzE82hQdJzL74ULF2LKlCl45plnAAA333wz8vPzw2vcduzYgQULFuCPf/wjli1bhnfffRd/+MMfUF1djYqKCgDAn/70J/zxj3/E66+/jtLSUvz617/GwYMHUVtby3rq1eFwYPXq1aiqqjprkWAwGERraysAwGAwwGw2i/TpuWG1WsOpSnJzc6OKNa/XC7fbjRUrViA9PV0uE0XF6w9gzTf12FHfErWdRkXhiumjcXFFUVykM/H5A1i7+xi2HWmO2k6torBsSimWTi6BKg7s9geC+M+eY9hS24RonYaKonDZ5BJcPqUUKpXydgeCQXy49wQ21jTEtPviyiJcMW0U1HHwoBMIBvHf6pP48tAZROulKQpYPLEIy2eMjgu7g0Ean357CusOnEYwiuEUgIXlBbi6aiw06jiwm6bxxYHT+PTbUwgEo4fFC8vy8YOZY6HVsE96KhU0TWP9oQb8t/oE/DHsnjsuD9fNHgddHNjNl66uLqxduxYGg0GS5O9yx3OXy4Xbb78ddrv9rJm8ocTVCBsbGhoaBgmRuXPn4u2338YjjzyCX/7ylxg7diw+/PDDsFgDgNWrV8PpdOLOO+9Ed3c35s2bh3Xr1om2Tm5gHhWPxwOv1yt7FQFmZG2gTfHyVCAFHl8A//fFfpzosMds6w/S+GDPcVh6+rByznhFRZvXH8BzX36L+rbumG0DQRofV59EZ08fbpw3QVHR5gsE8cKGA6hr7orZNkiHAnaHw4UfLZioqN2BYBB/33gIhxotMdsGaRpfHDyDDocLty2sUFT8BIJB/GNLDfaf7ozZlqaBDTUNaLe78OPFlYraHaRpvPrVYew92R6zLQ1gc20T2u0u3LVkMrQKirYgTePNr+uw81grq/ZfHWlGm92Fey6erKj4oWka7+w4im1Hoz/8Meyob0F7txP3LZ0KvXbkijYpiYd4PhzKP9bEYMuWLeHRNebfr7322qA2K1aswNGjR+HxeFBTU4PLL7980PsUReHxxx9HW1sb3G43NmzYgHHjxoli38A57tzcXMkKzEZj4Jq13NxcyQrGxxNv7zjCSqwNZNuRZmypa5LIInas+aaelVgbyM5jrdhQ0yCNQSz59+5jrMTaQPacbMe6A6elMYglH+w5wUqsDWT/6U58sv+URBax45PqU6zE2kAONVrw4d4TElnEjnUHTrMSawOpbe7Cv3dzrzwjJhtqGliLNYb6Vhve+6ZeIovYsbm2ibVYYzjRYcfbO45IZNHIJh7ieTTiXrDFM0MXJEpVYDYakTYYSFEwPp442tqF3SeGT8kSjY/2nhi0fklOTrR3x5y+HY5Pqk+i28mtModYnLE4sJWn0P3s21Ow9vSJbBE7mrt6sekwP6H75cEzaLezLxkjJu12F748dIbXsRtrGtBs6xXZInZYevrw2bf8hO7WuiY0WBwiW8QOm9ONT6pP8jp2e30LTnJ8cBQLR58HH+/jJ9B3n2hDfatNZItGNvEQz2NBBBtPhts9IqeTo+0GPZdF28aaxtiNhsHjD+Brjk+kYrHpMH+7fYEgtsZY8yYVQuwOBGnFRjU31TZGXbMWjSBNY0st/88thM21jVHXfkWDBrBZgL+EsLWuKebar2hsVMjur440wxcI8j5+o0Kj318fbYHHf3bmBLYoPWofT8RDPGcDEWw8iLXVVw4ns0ndcS6KNp8/gLpmq6BzHGrgNkUmBoFgEDVNwq6rhN1BmuY8pTiUgwrYTdM0DjVwm1IcihJ2A8L9fKjRokgqh4MCv+9DjRbeQlXQdQV+34ebrAgE+Qs+vgj9fda1dMEnQPCdK8RDPGcLEWwccblcrPKySOlkLnnWzjXR1u5wxdwJFYtmW6/sAc3S44bXL6xTb+12Iijws3Ol2+lBn9cv6BwdDpfsgaHH7RuUcoQPXU634M/OlT6vH10Cp74dfV7Bn50rPn8AHQ5hU999Xj+6B6TRkINgkEZrN/vi25Hw+AOw9si7XIGmabQInPr2B4KCfTbSYZtnTcp47vez72OIYOOARqOB0+lknZdFCifzSYp7Lok2t1d44PcFgrI/yYsR+IM0DW+E5NFSIpZgcfvktdstkt1KCDYxcPvktVss//bJbLfHHxClL5Db7kCQFjSNyyD371ssxHjg5poUV6p4brezXwNJBBsHNBoNjEYjp3QZYjpZSAWDc0W0JeiEZ6LRqlWyp5pIFMFuFUVBFyF5tJSI8X0DgEGk88h9PbE+v9zXS9DK/H2LlCJCbrv1GrUofYHcdqtVlChpUBL0Iy6zF4BQLBQi2vhWMJAinkcqCDDs9Xlf7TzE7/eflTSXDWI4WYxyUwNF28BcMyOJrOQEwUk289NNsudiMycZoBeYrykvzSh7ItpUo16wiMhOSZQ9x1aSQYvkBGG5k9JNBkUEW7pRWH7I5AQdTAatSBaxQ6tRIytZWHWLRJ0GqUa9SBaxQ6WikCuwuoVeo4Y5Sd7a1xRFIV9gdQuNWiXYZ0pB0zRsNhuCPNYOCi03JXY8j5Usd9C1OV/pPIbLXPNQhDhZzNqgjGjr7e0V9HmUQqtRozxfWGWGSUWZIlnDHrVKhYkFwjJmTyrKEMka9qgoCpMKhV1XCbupEWo3AEwqFm63EsmhhX5flUUZiiRZFmp3RaFZkWTFQu0uz09XNFmxEHQ6Hfx+P6xWKyfRJlZtUKXi+cj01giFj5OlKOSelJQEk8kEn2/kFOweyOKJRbyP1WvUmDcuT0Rr2LO4gr/dWrUK88sKRLSGPULs1qgoLJigjN2LJhaCb/xXURQWlReKaxBLFk0o5C1cKAq4SCG7F5YXQCNgBFjIfS2EC8vyBQmXixSy+4Lx+YJG7ZX6vsVApVIhLS0NPp+PtWgTu5C7EvGcCDaZ4eJkKcQag9FohFYr77SJWIzLTcOsMTm8jv1+1RgkCZwq48uorBTeYvHK6aORmijvdBFDoTkJC8v5ia7Lp46C2aRMAfu8NBOW8BSbl04uVmy6KCslEZdOLuZ17MUVxchVqBC82ZSAy6eU8jp2UXkBChUqBJ9qNODKaaN4HTtvfB5GZaWIbBE7khN0WD5jNK9jZ43JwbjcNJEtkhetVouMjAxWok1sscYgdzwngk0B2DhZSrHGoNGMzAWnAPDDuWUYk53K6ZgFEwpwYVm+NAax5NrZ4zCeY0d5wbg8LJ6ozKgJwzVVYzlP6c4anYOlk/gJD7G4avpoTOY4dTS9NAvLpvAL4GKxbMooTC/N4nTM5KJMXDldWbuXTi7BzNHcHqYqCsy4umqsRBaxY3FFEeZyfJgqy0vHtbPEKXHIFz592ticVPxwbplEFsmLTqeLKdqkEmsMcsZzItgUIpqT5RBrIx2dRo37lk7BvPGxO1mtWoUfzByL62aPU7TwOxBag3fPJVOwcEIBYlmiUVFYPmM0brigTHG7NWoV7lo8CYsnFsa0W62icMW0Ubj5wnJFC7+HbFHhjosqcUllcczpURVF4fIpJbh1QYXsmzvOskVF4dYFFbhscknM75CigEsqi3HHRcoWrAdC3+GqC8txxbRRUMf4DimEpuXuWjJJ8EYioVAUhRsvKMPy6aNjTutSABZOKMBPLp4MrYKF34GQ3dfPGY9rZo5lNa07f3w+7r1kiqIF68UmmmiTWqwxyBXPKVqJlNgjEIfDgdWrV6OqqorXTtHhCAaDsFqt8Pl8yMgIjQTIIda8Xi/cbjdWrFiB9HRhi/iVpsHiwJa6JtQ0WgYlDM1MSsCUkkwsnFCIdJO8u7jY0GTtwebv7B5Y39RsMmBKcRYWlRfAnKTMdGI0mm292FLbiEONVthd/YlO000GTC7KxKLyAmTG4e6z1m4nttQ24mCDBd0D7E4z6jG5KBMLywuRnRJ/drfbXdhS24gDDZ2wOQfbXVmYgYXlhYJ3OkpBp8OFzbVNONDQia7e/sSyKYl6VBaasbC8UPBORymw9vRhc20jvj3TCesAu5MTdKgozMCiCQUoUGj6NhpdvW5srm3EgTOd6BxQvzfJoEVFYQYWTihAUQb7HYnxSldXF9auXQuDwQCdrn95y1Bh5HQ6ZRFrA+ETz10uF26//XbY7faYO0aJYGOJVIIN6Hcyo8p1Op3kI2vnkmBjoGkaTo8fHr8fRr0WBplzI/GFpmm4vH64fX4k6rSyp5IQgtPjG5F2uzw+9I1guxO0GiTqR84a1D6vHy6vDwatBsYRaneiTqP4SDdb3D4/nB4f9BoNjPqRYzcbhhNsQL9oY2SNnGKNgWs85yLYRk5PdQ6jUqmQnJwMiyVUGy45OZlMg/KAoiiYDFqYMHICAhCy26jXjqhAxjBS7U7Ua0eU4GEYqXYn6DQjShgzjFS7DVrNiHlgFROdTge9Xg+3OzQyajTKP/IsZTwnqiAO8Hq9sFqt0Gq10Gq1g9Q5gUAgEAiE2PT09MDtdsNgMICiKM552sRAynhOBJvCDJx3z8jIQEZGhiQFZgkEAoFAOFcZuMHAbDazTvkhJlLHcyLYFCTS7hEpCswSCAQCgXCuEmk3KJuUH2IiRzwngk0hom31lUu0kf0mBAKBQBjJREvdIZdokyueE8GmAGzyskgt2miaJqN3BAKBQBixsMmzJrVokzOeE8EmM1yS6Ekl2oLBIGw2GxlhIxAIBMKIhEueNalEm9zx/Pzb96sgfDIeM062Wq2wWCzIyMg4K/cMF5gcMX6/HyaT/Ekr3T4/2u0ueP0BGPVaZCUnKp7lnA1unx8ddhc8/gAS9VpkjxC7Pb4AOhyucK60rJREQYWu5cLrD6DdHrI7QadBdnKi4lnl2eD1B9Bhd4VzpWWlJI6IrPI+fwDtDhf6vH4YtBpkjxS7A0F02F3hXGlZyYnQa+Pfbn8giPbv7NZr1MhKSRwRaTj8gSDaHS64PD7oNGpkK2S33++H0+lEamoq6zxrjGizWCywWq2Cc52KFc+5EP+/kDhCp9PxVuZCylOIJdoGZmFOS0tDIBDgfA4+0DSNb890YkttI461d2PgwJ5Oo0JlYQYurixGcZxl4aZpGgcbLdh8uBHH2roRHGC4Vh2ye0lFEUoVKv48HDRN43CTFZsON+Joq+0suycWmLGkogijOdZilYPaZis21jTiSEvXILs1Kgrl39k9Nif+ilYfaenCxsMNqGvuQiDYb7daRWFCfjoWTyxCWV78Jag+1mbDhpoG1DZZ4R9i9/jcdCyuKER5PrcasnJwor0bG2oaUNNkhT/Q3yerKArjc9Nw0cRCTCwwx13C2FMddmyoacChRgt8Q+wem5OKRRMLMakwI+7sPmNxYP2hMzjUaIHX3283RQFjs1OxsLwQU4ozZbPb5/PBZDJxToorlmgTM55zGTghlQ5Y4nA48Oijj6KwsBA5OTmcHCRWLbGhZS+4iLZIJTPkqHTQ0+fFq1sPo66lK2bbxRML8f2qMYrXQwRCGfxf23oYNU3WmG0XTCjAD2aOjYsRN5fHh39tq8WBBkvMtvPG5+Ha2ePjYsTN7fPjjW11qD7dEbPtnLG5uH7O+LgYAfL4Anhrex32nGyP2Xbm6Bz8cG5ZXIwAef0BvLvzKHYea43ZdlpJFm6aPyEuRoB8/gDe+6YeX9e3xGw7uSgTN8+fEBeJhv2BIN7ffQxb65pitq0oNONHF06Mi4TUgWAQH+w5jo2HG2O2nZCXjlsWTERSAv8ZIDZ0dXXhnXfegclk4j3bJCQmix3P3W43HnroIVaVDpTvqUcQHo8HgUCA0xy4mIVf+c6BCxF6Qujp8+LJz/axEmsAsPFwI/6xpQbBoLLPEE6PD09+uo+VWAOArXVNeGnTIQRkTtA4lD6vH09/Xs1KrAHA10db8OKGA4NGKJTA7fPjmc/3sxJrALDzWCueW38APr88I8TD4fUH8H9f7Gcl1gBg94k2/N8X++FV2G6fP4DnvvyWlVgDgOrTHfjr5/vh9vkltiw6/kAQL2w8yEqsAcCBhk48s24/+rzK2h0IBvHSpkOsxBoA1DRa8dRn++D0+GI3lpBgkMY/ttSwEmsAUNfShSc/24eePuk3s2k0wh4e+K5pkyKeq9XsH+CIYOMATdNISUlh7WQxncvAVbQpJdZomsY/tx5Gu93F6bj9pzux7uBpaYxiAU3TeP2rWrR2Ozkdd6jRgk/2n5LIKna88XUtmrp6OR1T29yFj/adkMgidryz4yjOWBycjqlvteHfe45LZBE71nxTjxMddk7HnOiw471v6iWyiB3/3nMc9W3dnI45bXHgnR1HpTGIJR/uPYG6ZnYPfwyN1h68+XWdRBax45PqUzjUyO4hiqHF5sTrX9UqujFs3cHT2H+6k9Mx7XYXXt16eERsaOMq2qSK57FG1Qa1F3zF8wyNRsPKyVI4l4GtaFNKrAHA/jOdOMJyZG0onx84DZvTLbJF7KhpsnLuXBm+PHgGnY4+kS1iR11zF+fOlWHj4Qa0cRSoYnG8rRu7T7TxOvaruiY0dfWIbBE7Tnc6sIPlSM9Qtte3cBaoYtHU1YOvWI70DGX3iTYc5yj0xKKt24lNtQ28jq0+3cG7LxJKp6MPXx46w+vYQ40W1qP8YtPV68bn3/J7AK1r6cK3Z/j1RXLDVrRJHc9ZtxXtqucRsZwspXMZYok2JcUaAGypZTeMHgl/IIivjzaLaA17NguwO0jT2HaUXzAUypY6/nbTNPDVEWXsFvJ90wDraSaxEfL7BoR9biFsrW2CkLEPIb8zIWw90gQhgzZC/cWXr440Ddo8wxWl7P76aPOgTShcUer3zYd4iOdsIYKNJ8M5WU7nDifalBZrfV4/jrd3CzpHTaP8T5ZefwD1rTZB51DC7kAwyHmqaChKPMkHaRq1zcKue1gBu2maxmER7FZi2kionw83WQUJEN7XFXhf1TZ3KbLGVOjv82irTZG1mkJ/J8fbuxVf88iFeIjnbCCCTQBDnezxeGR37lDR5vF4FBVrANDhcAl6GgbAeQ2ZGHQ6+galZOBDu90le0Cz9rgHpQjgQ6ejT/A5uNLt9MDtExaMbE6P7IGh1+1Dr1vYgnAxzsGVPq8f3S6PoHO4fQHYBZ6DK75AEJ09wpYa+AJBWHvlXWYRDNKc1/AOJRCk0SHws3OFpmnBSyRoGoI/u9zEQzyPhfIWjHAYJzNKXKPRyO5cRrRpNJrwSJtSYg0IpToQii8QlH0EwiPCk2yQpmXfdSmG3QBk370olt1i/N44XW+Eft9iXU/u73uk2u0PBkV5ePPKbDcNiPLwJvf3LQbxEM+jER9WEM4pEvXC8zUl6DSyJ48UI++RVq2SPa+ZGHarKAoGmfODiWE3BSBRJ29+MLHyY8mdHyxBpO9JbrsNWjVUIvQFcuc1E6svkNtuFUWJ8luJhzxy5xpEsAmEUeKMMvf7/ZIUmI3GwHJTzMiaFAXj2ZKdYhTcURWauWWwFoOMJINg0VJoTpJdaKYa9YI7x/x0k+wJi5MMWqQk6gWdIyfVKHvJqgSdBmaTQdA5MpISRBNQbNFp1MhJTRR0jpREPZIM8gZitUqF/HRhZfRMBi3SjMJ+a1yhKEpwP2bQqpGRlCCSRewpFPh9a9UqZKcI+60pQTzE82gQwSaAoQsS9Xq9JAVmozF0g4Fer5ekYDwXmLJNQphanCmSNexRq1SYVCTsulMUsFtFUYKvq4Td1Ai1GwCmlmQJOl4pu6cUC7N7qozlhwYi9PuaXKSM3ZNFsFulUuD7Fvj7rizMiIvKL1yIh3gei5H1jcYRw+0e4ZtBmQ/D7QblWxFBTC6uLOJ9bJJBi9ljc0W0hj0XVxSBb/do1Gtwwbg8Ue1hy+KKIt7TRgatGheW5YtsETsWTyyEmmdA0mlUWDChQGSL2LGovJB3QNKqVVhUXiiyRexYOKEAOg0/u9UqChdNVMbu+ePzeY9+qygKiyv490dCuGBcHu8pewrAEoXsnjM2FyYBI6kXVxaLaI30xEM8ZwMRbDyItdVXDifHSt2htGgryUzBonJ+wfT6uWWK1S0sMCfx7myunT1esbqFualGXDq5hNexK2aNg8mgzAaVzORELJs6itexV1eNFTylypd0kwFXTR/N69irpo9GusApVb6kJOpxddVYXsd+b+ooZCYrM82VlKDDilnjeB176eQS5KYaRbaIHUa9FtfNGc/r2Isri1GgwNIQADBoNVjJ0+5F5YUoyWSfvV9p4iGes4UINo74/X5WW32ldDLbPGtKi7ZrZo7FZI5TjN+vGoNpAofjhXLl9FGYXsrNhiumjcLM0TkSWcSOZVNKMYujDZdOLsFchUYFGZZOKuY8MrmkokixUUGGxRMLOY/wLZxQoNgoFcOFZflYPJHbyM0F4/JwySRlR03mjsvDpZNKOB0za0wOlk0tlcYglswcnYPvcbRhemkWrpzO70FGLKaVZuP7M8ZwOmZKcSaumcntGCVhm2dN6njOFiLYOEBRFOx2O+u8LFI4mWtSXCVFm1qlwp0XVWLZlFJoYkx7mQxa3HFRJS6Jg6F0tUqFWxdW4Mrpo2NOexn1Wty6YCIun6JsUAAAlYrCzReW4/tVY2Ju+kjUabBqfjnvUSIxUVEUbrigDCtmjY05XWfQqnHDBWW4umqMImuSBkJRFK6bPQ7XzxkPfYyND3qNGtfPGY9rZ4+LC7uvmTkGN1xQFnOaUadRYcWssbjhgjJRdmoK5aoZo3Hz/PKYGza0ahWurhqDm+eXx4Xdy6aOwq0LJsbcHKRRq3Dl9NG4dWGF7JuAInHJpGLcsagi5vSoRkVh2dRS3LGoMi7sZgPXpLhSxXOHg32ZOooeCVVa4wCHw4FHH30UhYWFyMnJ4ZSXRaxsyUIqGAw9FgDcbjdWrFiB9PR0XvZwoavXjW1Hm3G4yYrWbif8gSASdBoUppswpSQLc8bmKjYNGg2b042vjzbjUKMVbd1O+AJBGLRqFJqTMLk4E3PH5sm+248NdpcH2442o6bRghZbv9356SZMKcrEnHF5cbnt3tHnwddHW3CowYKW7l54/UHoNSG7JxdlYu64PEFra6Sip8+L7fUtONjQiRabEx5/AHqNGnlpRkwqysQF4/KQlKDMtHM0et0+7KhvwYGGTjR39cLjD0CnUSEv1YTKogzMG5+H5ARlpp2j4fT4sLO+Bd9+Z7fbF4BWrUJemhEVhRmYPz5fsenyaPR5/dhxrAUHznSi0doTtjs3lbE7D6lGZabLo+H2+bHzWCu+Pd2Bxq5e9Hn90Hxn98QCM+aPz5dtmr+rqwvvvPMOTCYT71yjQmKy2PHc7XbjoYcegt1uj1kIngg2ljgcDjzyyCOorKyEycR9y7NQJ4tRbmrgOVJSUhAIBGQTbAOhaRo0DUV2PwmB2C0vI9VuIJTlfqTaTVFQfBSQK8RueVHS7q6uLvzrX/+CTqdDWloa5+PFEFxixnOTyYS77rqLlWAbGWOXcYLX6+WtpoUMp4pVG3Tg9KjNZlNs8SRFUSMymBG75WWk2g2MTJEJhOweaeIBIHbLjdJ2a7Va9Pb2oqenh9NxYo2OiRnPNRr2MzREsMkIHyeLXch9YBkrpRLrEggEAoHAF41GA5PJBIfDwVq0iV3IXYl4TgSbzHBxsthijUGlUiEtLW1EPtkRCAQCgWA0GpGcnMxKtIkt1hjkjudEsCkAGydLJdYYKIpSrDg8gUAgEAhCSUpKiinapBJrDHLGcyLYFCKak6UWawxkhI1AIBAII5look1qscYgVzwngk1BIjlZLrFGIBAIBMK5QCTRJpdYY5AjnsdfAqnzDMbJFosFFosFQKiaAhFrBAKBQCCwIykpVMbL4XDA6/XC4/HIJtYYpI7ncTfC9sQTT6CqqgpJSUnIysrC8uXLcfTo0ZjHrV27FmVlZTAYDKisrMRnn3026H2apvHoo48iNzcXCQkJWLJkCY4dOybVx+CETqeD2WyGz+eDz+eD2WwmYo0jNE2jw+HCgYZO7D7RhsNNVthdHqXNiglN0+h09OHgd3bXNFpGhN0AYO3pw6EGS9jubqdbaZNYYe3tw6HGfru7ekeG3V297rDdhxotsPb2KW0SK7qdbtQwdjdYYO0ZIXa7PGG7DzZ0otPRh5GQttTu8uBwkxW7T7ThQEMnOhyuEWG3GCQlJcFgMMDtdoOmaVnFGoOU8TzuRti2bt2Ke+65B1VVVfD7/fjlL3+JSy65BLW1tTAaIxfw3bFjB1auXIknnngC3/ve9/D2229j+fLlqK6uRkVFBQDgz3/+M/72t7/h9ddfR2lpKX79619j6dKlqK2thcGgbGbpoeUpHA6HIj+0kUggGMS2I83YXNuIDsfZgWBUVgouqSzGpKKMuFqzFwgGsb2+BZsPN6LN7jrr/ZLMZFxcWYypxZlxZXcwSGPHsRZsOtyI1m7nWe8XZyRhSUUxppdmxZ3du060YmNNI5ptvWe9X2hOwpKKIswYlR0XpYwYgjSNPSfasPFwIxqtZy+qzk8zYXFFIWaNyY0ru2maxt5T7dhwqAENEezOTTXioomFmDs2L65y1tE0jf2nO7D+UANOW84uGZSTkohFEwtxwbi8uCrBRNM0DjZY8OWhMzjZYT/r/azkRCwqL8D8svy4sltsmJE1BqfTGR55kwsp43ncVzro7OxEVlYWtm7digsvvDBim+uuuw5OpxOffPJJ+LXZs2djypQpePHFF0HTNPLy8vD//t//w89//nMAgN1uR3Z2Nl577TVcf/31Me1wOBxYvXo1qqqqkJiYKM6HQ+SSUXLMu3u9XllLU0mBpacPf994EE1dZwfgoUwtycTN88vjovxVV68bL206hDMRAsJQKgszcMuCiXFR/qrb5cHLmw5FDAhDKc8349aFsWsnyoGjz4NXNtfgWFt3zLbjc9Nw+6IKmAzKj3D3ur14ZXMNjrbaYrYdm5OK2xdVxEUZKafHh39uOYzaZmvMtqOyUnDHRZVIjYMyUn1eP17dehiHGi0x2xZnJOPOiyplK8cUDbfPj9e/qsW3Zzpjti00J+HHF1XCnJQgg2XS0NXVhbVr18JgMAwauRq6Zs3pdMLhcCA5OVk20cYnnrtcLtx+++3nRqUDuz0UHKKJip07d2LJkiWDXlu6dCl27twJADh16hTa2toGtUlJScGsWbPCbYbi8XjgcDgG/YlNpAWJUhSYPRfp6nXjfz/dx0qsAcD+05149otv4fMHJLYsOt1ON578dB8rsQYAhxot+Nu6/fD4lLXb0efBk5/uYyXWAKC22Yq/rtsPt88vsWXR6XV78dRn1azEGgAcbbXh6c+r4fL4pDUsBi6PD099Vs1KrAHAsbZuPPVZNXrdytrd5/Xjmc+rWYk1ADjZYcdTn+6Do0/ZZQAeXwB/XbeflVgDgDMWB578bB+6FV6+4PUH8OwX37ISawDQaO3B/366b8QsA2BLpA0GbFJ+iIkc8TyuBVswGMT999+PCy64IDy1GYm2tjZkZ2cPei07OxttbW3h95nXhmszlCeeeAIpKSnhv8LCQiEf5Syi7R4hoi06wSCNlzcf4rzW60SHHf/Zc1wiq2ITpGn8c+thdHFc63Xa4sDaXfUSWRUbmqbx2tZaWDiuPWq09uCdHbHXn0oFTdP417Y6tEeYco5Gi82Jt7Yfkcgqdry1/UjEKedotNtd+Ne2WkXXK7278yjrhyiGzp4+vLZVWbvf21XP+iGKoavXjX9uqUFQQbv/s+c4TrB8iGLodnnwyuZDCAbjenKNNdF2g8ol2uSK53Et2O655x7U1NTg3Xfflf3aDz/8MOx2e/ivsbFRtHOz2eorh2jz+5Ud/eDLnpNtON3Jb8Rza10T50AoFvtPd7Ae6RnK9voWNEVYCyQHBxstqGvp4nXs7hNtON3JLaCIRV1LF+sRk6FUn+7AsTZ2o1tic6zNhurTHbyOPdRowRGevhLKqQ47dp+I/AAcCyG+EkqjtQc76lt4HXusrRv7efpKKK3dTnxV18Tr2FOdDuw5yc9X8QSb1B1SizY543ncCrZ7770Xn3zyCTZv3oyCgoKobXNyctDe3j7otfb2duTk5ITfZ14brs1Q9Ho9kpOTB/2JAZe8LFKKNqfTCZ9P2ekTvnx1pJn3sTSAr4/yP14IfDvX8PGK2S3sukL8Jei6Qu0WeLxS11Xs+xZ4XaXs3jaC7RYyRqaU3WLh8/lYr/eWSrTJHc/jTrDRNI17770XH3zwATZt2oTS0tKYx8yZMwcbN24c9Nr69esxZ84cAEBpaSlycnIGtXE4HNi1a1e4jRzwSaInhWjr6elBb28vtFrlF4Rzpc/rxymOUwBDYbu+Rky8/gCOtwu0u0l+u/2BIOoFjjTVNss/4hMM0oJHmuparLJP09E0jboWYX6ua+5SZJquTuB9dbTVhoACyz+E9gfH27rhVWBtrNDv+1SHHX3ekTnLEgwGYbPZOG3OE1u0KRHP406w3XPPPXjzzTfx9ttvIykpCW1tbWhra0NfX//6mZtvvhkPP/xw+N8/+9nPsG7dOjz55JM4cuQIfvOb32Dv3r249957AYRKMN1///34/e9/j48//hiHDh3CzTffjLy8PCxfvpy1bRoN/516QjIeiynaenp64HA4YDKZBH0epehwuAQ9VQJAh13+fEqdPX2Cg6i11y17QOtyuuEPCLum3eWRffOBvc8Dj8Ag6vT44ZR584HT44PTI+y78vgDcMi8GN7t88Pe5xV0Dn8gKPtieH8gCKvAawZpmvP6TqEEaTpiGiMu0Aj1pyMRr9cLjUbDOZOCWKJNqXged4LthRdegN1ux8KFC5Gbmxv+W7NmTbhNQ0MDWltbw/+eO3cu3n77bbz00kuYPHky3n//fXz44YeDNiqsXr0a9913H+68805UVVWht7cX69at45SDTaPRwOXi/gMXozyFGKKNEWvJycnD5rSLd3x+4YIlSNOyj0AIFT0MPpHOI/f1xPr8bBHL7pH6fXvltluE+xKQ//v2i/QAJLfdtEh9mNz3pVhQFIW0tDReaa+Eijax4zmXDBRxN8TCZuRjy5YtZ722YsUKrFixYthjKIrC448/jscff5y3bX6/H06nE3q9nnVeFzFriQ0se2G1Wjk9XQwUa0lJSfB6hT0NK0VSgvD8WAk6jezJI5NEyOulVaug16hFsIY9YtitoijZ88iJYTcFyJ5HzqjXggIEjyKL8fm5kKjXQEVRgkWE3Pnv9Bo1tGqVYMEl9/etVqmQoNMIntKU226x0Ol0ghJzDyxjNfDfsZAing9dWx+NuBthi2f8fj+MRiNrZS5FIXc+I21DxdpIJjMpQXDwL84QZwMJF9KMeiQZhAX/4oxk2asHJBm0SDMKS2paaE6SXSAn6DTIShaWHDQvzQSdzAJZp1EjN03Y6HdWsvB7hCtqlQqFZpOgc6QbDUgW4YGMCxRFoShDWJ+YnKATfI/wQWg/lqDTIGOEJtAVox/kOtImVTxPSUlh3Z4INo4kJiaycrIUzmXgItrOJbEGACoVhaklWYLOMb1U2PF8oCgK00qzYzeMwjSl7C4ZeXYDGLF2Txf8OxF2vFLXHam/k6klypRhmyawH5xWkhVXZcGUgK1okzKec1lLTgQbD2I5WUrnMrARbeeaWGO4uLKId93ENKMeM0dHTuUiNUsqiqBR87vlUhJ0mDM2V2SL2LG4ohBannabDFrMH58vskXsWDSxgPcUcoJOgwvLoqcTkooLywp4j5AZtGosKlfG7vnj82HiOYqs06hw0URxk5OzZe64XN4jexq1CksqikS2iB2zxuTwHtlTURQuriwW2aKRSTzEc7YQwcaT4Zwsp3OjibZzVawBQE6KEVdOG8X5OIoCbpo3QfZpLoaMpAQsnz6a83EUgBvmTVCsDmqa0YBrZo7ldewP55YpVgc1OUGPa2eP43XsyjnjeYsPoZgMWlw/ZzyvY1fMGqdYPdEEnQYr55bxOvaamWORZlSmLqdBq8GNF0zgdezyGaMVm1bUadS4ad4E8Hl2vXLaKGSniFcTe6QTD/GcDUSwCWCok5VwbiTRdi6LNYZLJhVjIYeRBBVF4aZ5EzAh3yyhVbG5aGIhpydyCsDKueNRWZghnVEsuLAsH5dOLuF0zIpZ4wRPXwtl7rg8XMFR3F9dNQZVCo3CMswcnYPvV43hdMwV00Zh7rg8iSxix7SSLKyYxU0kXza5RLFRWIbKogz8cO54cNE+F1cW4aJyZUYFGSbkm3HjBdxE28LyAlwyiYyuDSUe4nks4m6X6Ehj4G4Th8MBiqJkd+7A3aNMupNzWawBobVV184ah8L0JPxnz7GouauykhNx47wyjM1Jk9HCyFAUhWtmjkVBugnv7z4WtVh3ZlICfnhBGcry0mW0MDIUReGq6aORn2bC2l31cETJuWU2GfDDuWUoL1BWHDNcPqUUualGrPmmPmr92TSjHivnlKGySFlxzHBJZTFyUhLx7s6jsDmHtzslUY/rZ4/DFIXFMcNFEwuRnZKIt3cciZpXLTlBh2tnjcP0UcqsuRvK/LICZCYn4q3tR6LmVTMZtFgxa5xiSyuGMndcHjKSEvDW9iNR86oZ9RpcXTUWc8bmKrLmbiQQD/E8GhStZMXdEYTD4cDq1atRVVWFxMTBQ8nBYDAslAwGA8xmZQKV1WqF2x3qIHNzc6Om/PB6vXC73VixYgXS05UXBEJw+/zYfaINNY1WtHU74fEHYNRrUZBuwpSSLEwuypB9lyIb3D4/9p5sR02jBS3dTnh8ASTqNShIT8KUokxMKcmMS7u9/gD2nmzHoUYLWmy9cPsCSNRpkJ9uwuSiTEwtyeK9Vk9KvP4A9p3qwKHGTjR3OeH2+ZGg0yA/zYRJRRmYVprNe62elPj8AVSf7sDBBguabb3o8/ph0GqQn25EZWEmppdmKTbNHw1/IIj9pztwoKETzV29cHn9MGjVyEszobIwAzNGZcel3YFgEN+e7sS3ZzrRZOuBy+OHXqtGXqoRFd/ZrdTyhGgEgkEcaLDg29MdaOrqhdPjg/67XccVBWZUjc6JS7u50tXVhbVr18JgMEgipOSO5y6XC7fffjvsdnvMEphEsLFkOME2cNhUr9fD7XYrMrrFTIMaDAZ4PJ6YJTvOJcFGIBAIhPMDKQWbEvGci2Ab+XJbQSLNcTPCCWCfjE8okZLi8kmuSyAQCATC+Ui8xPNokEjOk+EWJIpdYDYWkTYYSFEwnkAgEAiEc5F4ieexIIKNB7F2j8jl5Gi7QYloIxAIBAIhOvESz9lABBtH2G71ldrJbFJ3ENFGIBAIBEJk4iWes4UINo44HA7WeVmkcjKXPGtEtBEIBAKBMBiuedakiucu1/CpWIZCBBsHdDodAoEAp7wsYjuZT1JcItoIBAKBcK4gNIbxTYorRTx3Op2s2xPBxgGVSoWUlBTOW4nFcrKQCgZDRRvJ5kIgEAiEkYjX64XPN3zS8WgIrWAgdjw3Go2sjyFpPTjg8Xig0fD7ygZmUB74b7aIUW5qYEUEm82GhAR5a+D5AkGc6rCjdUBy2yJzEvLTTbyLucuBPxDEyQF2J+o0KDQnodCcFPd2n+oM2e329iflLTInQaWKX7sDwSBOdzrQbOuF2xtAgk6DgnQTijOS497uM5YeNHf1oM8bQIJOjfz0JBRnJMVlAmSGYJDGGYsDTV2hpLwJulBy25LM5Li3u8Eastvl8cOgUyM31YhRWSnxbTdNo9Hag0ZrD1xeP/QaNfLSjCjNTInLhNMMQZpGk7UHjQOT8qYaUZqVInvCaYqiYLPZoNVqOQkuscpNiRnP1Wr2yaOJYOOA0FEpvk4WszYoI9o6Ojrg9Q5fXkhMXB4fvjh4BtuONqPPe3YJKbPJgEsmFWPeuPy4Csh9Xj++PHgGXx1pgiuC3elGA5ZUFuHCsvy4ChBunx/rDzVga10TnJ6zn0LTjHosnliEheUFcWW31x/A+kNnsKWuKWLJrpQEHS6qKMKi8sK4qkjg8wew8XAjNtc2RizZlZygw6LyQiyeWAhtHGX29wWC2FzbiE01DbBHsNtk0GJReaj2bTxVJPAHgtha14QNNQ3ojlBqzKjXYsGEAlxcWRRXmf0DwSC+OtKMDYca0OU8u2RXok6DC8sKsHRycVzZHQzS2Ha0GesPnYE1QqmxBJ0G88eHag0n6OSxm1meZLFYWAsvsWuDihXPuaxhI5UOWBKtNBVXuAgwqQq5O51OOJ1O3HTTTZJWOjhjceDvGw9GrYXIMCY7FXdeVImkBOXrtjVZe/DixoMRO6ihlGYm48eLJyElUS+DZdFpsfXixQ0H0RmlFiJDcUYS7lo8CalGgwyWRafd7sILGw6g3R678ypIN+GuJZNgNsk7QhyJTocLL2w4iNbu2OtQclONuHvJZGQmK2+3tbcPL244iKau3phts1MScfeSychOEdbviYHN6caLGw6iwRp7KiozKQF3L5mE3DSTDJZFx+7y4O8bD+JUpyNmW7PJgLuWTEJBuvKJWnv6vPj7poM40W6P2TbNqMePF09CcUb0bP1CYSod6PV61psApSzkLjSec6l0ED+PqecRbOfApRJrADgPJfOhqasHz3xezUqsAcDx9m78dd3+iKNwctLa7cTTn1ezEmsAcKrTgWc+r444miUnHXYXnv68mpVYA4Azlh489Vk1et3yjLQOh7WnD099to+VWAOApq5ePPVZddRC7nJgc7rx1GfVrMQaEPpdPfXZPtgijK7Iid3lwVOfVbMSa0BITD/12T5YWf6upKKnz4unP6tmJdYAoLOnD099Xh21ILocOD0+PP15NSuxBgDWXjee5vC7koo+rx/PrKtmJdYAwOb04JnPq9HUJU/aC4qiYDabodVqYbFYhp0xklKsAfLGcyLYFCKWk6UUawxSlqzy+QN4eVMN3L4Ap+Oabb1Y881RiayKTSAYxCubD0WcAo1Gm92Fd3Yckciq2ASCQbyypSbiVGI0Onv68MbXdRJZFZsgTeMfW2oiTiVGo6vXjX9tq1Vs8wxN03h16+GIU3LR6HZ58NrWw4ra/fq2WnSxfBhhcPR58c+thxFUcELmze11rB9GGHrdPryyuQYBBXfGv739COuHEQaX149XNh9S1O41O4+ixcZNNLp9AbyyuQa+gDx2q1SqqKJNarHGIFc8J4JNQYZzshxiTWq2HW3h/WS763gbGlk+RYvNjvpWzp0Uw75THTjVwe5pVGx2n2jn/Z0dbLCgvtUmskXsqD7VwXrkYSi1zV2oa+4S2SJ2HGyw4FhbN69j69u6cbDRIq5BLKkT8J2d7LBj/6kOkS1iR32rDQcb+H1njdYe7DnRLrJF7DjZYUf1aX7fWYvNiR31rSJbxI5Gaw92nWjjdWy73YWvjzaLbNHwDCfa5BJrDHLEcyLYFGaok88FsQZA8A0r5w0v5nWVsnu7wOtur28RyRJuCP6+68nvhAvbBF5X6PF8Gam/E+H35Qj9vmX+nQwVbR6PR1axxiB1PI+frSjnMUN3m4x0sebo8whef3FUgREfl8fHen3McChht9cfwMlOYSN7R1rkH6nyB4I40d4t6BxHW2ygaRqUjOlVgkEa9W3C/FzfakMwSMu6K5qmacG/zxPt3fAHgrKnnxBq98kOO7z+gOy7XY8ItPuMpee7VCvyhmqh33eLzQlHnxfJMm4gY0SbxWKBxRIajc3MzJRNrDFIGc/JCBtBdCw9whdVdzr6ZF/nYxFhUbW11y37uhNrTx+EflWOPi+8fm7rDYVic3rgDwoz3OX1c15vKBSH2wuvX5iPvf4gHDJv9nB6/II39PiDNOd1e0Lx+AKc1zgOhabBehORWASCQc5rBSMhRr/EBZqm0ekQfk257T4fIIItDhg4bBoPBWaF4hdhwakSi5sDAsUDg0inYY1Ydot1HtbXo8URtnILZLGuN1Lt9o9Qu+X+voOi3Zfy2k1DnP5X/u87tGbN7/eHp0Gj7R6VCinjORFsCjN0jluqArNyIkY+suQEnazTXIA4difoNLIndU0WwW6dRgWDVt7popQE4XarVRSMeq0I1rAnyaCD0F8m9d155MRk0IpSmUMMv3HBINI9JbfdGrVKlKnMZJntVlGUKFOZcn7fQzcY6PV6Vik/xEbqeE4Em4IMtyBxpIu2zOQEwUG0NDNFJGvYk2bUI0VgR6WE3ckJOphNwpLflmQkyy6QE3Qa5AhMxlqcIX/5JJ1Gjfx0YclYC8xJsq+nUqtUKM4QtpYmJzVR9vVUKopCaaawZKxmk0H2hNwURQnuD1IS9Ugzyp+QW+j3bTJokSFTgujhdoPGSvkhNnLEcyLYFCLW7hE5RFtQoiFrFUVhemmWoHNUjcoWyRr2UBSFGaNyBJ1DCbtD1xVo92hhxyt13Rkj9PtWym7hv29lfieC7Vbq9y3Qz1WjsmV/kAKEf9/TS7NlqbMcK3WHXKJNrnhOBJsCsN3qK6Vo8/l8kj5xXDKpmPc0Rl6aEVNKMkW2iB1LKoug5znykZWcqFggXjSxkPfIh9lkwCyFAtqCCQUw6vnZnZqox9yxeSJbxI75Zfm8p42SE3SYPz5fZIvYccG4PKTynEJnanQqwewxObxHkRN0GlxUXiiyReyYMSobWTxHmvQaNRZXFIlsETumlmQiN9XI61itWoVLKotFtuhsaJpmlbpDatEmZzwngk1muOZlkUK0eb1e2Gw2SZ/czKYErJg1lvNxWrUKq+aXK1aUPDVRj+vmjOd8nEZF4UcXlsue7oAhOUGHlXO5262iKKy6sFyxouRGvRY3XjCB83GM3XqZ190xJOg0uHHeBM5r2SgAN82bIPu0IoNeq8bN88vB59a/8YIy2dcLMmg1aqy6sJzXqM3KueMVq0+sUauw6sKJ0PBI33LdnPG8xbVQ1CoVfnRhOa+H7hWzxiFd4BKNWNA0DZvNxjrPmlSiTe54ztkbp06dwr/+9S/87ne/w8MPP4ynnnoKmzdvhtutbH08ORAqcPgm0RNTtHm9XlgsFmg0Gsnz08wvK8CV00axbq/XqHHX4kkokrh4cCzmjM3F1VVjWLfXqlW446JKlGbJv35tIFWjcnDt7HGsRYRGrcJtiyowNidNUrtiMaUkCz+cW8ZaRKi/E8dleenSGhaDysIM3DR/AmsRoaIo3DS/HBWFGRJbFp0J+em45cKJULMUERQF3HBBGaaUCFvmIJSxOWm4bVEF64ciCsB1s8cpNo3LMCorBXdcVMlJ/FxTNQZzxuZKaFVsijKS8ePFkzjNOFw5fTTml0k/euz1egftBmWD2KJNiXjO+jHvrbfewl//+lfs3bsX2dnZyMvLQ0JCArq6unDixAkYDAbccMMNeOihh1BcLP1wqBLo9Xr4/fzyGAnNeDw0GR+fczBiTavVIjk5GR6P9PmULptSikJzEt77pj5qHcBxOalYObcMOTyH4cXm4spiFKSb8O7O+qgltkZnp2Dl3DLkpwlbhC4Wi8oLkZ9mwjs7j6Cte3i7SzOT8cO5ZSgwx0eC5vll+chNNeKdnUeilgYrzkjCyrllKFZY1DPMGZuH7BQj3tlxJGox9YJ0E344t0xxUc9QNToHWSmJeGfHEZyxDB808tNMuH7OeIzJSZXPuChMK8lCZlIC3tlxJGpJs5zURKycU4Zxuco+jDBMKsrEQ1dW4Z0dR6IWU89KTsT1c8ZjQr6yDyMMEwvM+MV3dtdHKcWWmZSAa2ePk+1hhKZppKWlcR50YESb1WqFxWLhXQVBzHiu17MfRaVoFtlJp06dCp1Oh1WrVuGKK65AYeHg9QAejwc7d+7Eu+++i3//+994/vnnsWLFCo4fIb5xOBx45JFHUFBQgOzsbE5OFrM8Bd9zDRRrZrMZfr8fbrcbK1asQHq69J1DIBjE4SYrapqsaOt2wuMLwGjQojA9CVNLMlGiwO5KNgSDNA43W1HTaEFbtxNuXwBGvRYFZhOmFGehNFP+3ZVsCAZp1LV04VCjBa22Xrh9ASTqtShIN2FyUSZGZ6fEp900jaMtXTjYaEGLzQn3d1neC9JNmFSUibE5qXFpN1NF4GCDBS223nB2+rw0EyYVZWB8blrc2n2srRsHGzrR1BWy26DTID/NiMrCDIzPS5dl8ThXaJrGiXY7Dnxnt8vjg0GrRl6aCRWFGZiQly5rFQm20DSNU50OfHumA03WXji/szsnNfR9l+eb49buMxYH9p/uRGNXD5xuH/Tf2V1RYMbEArNsy1i6urqwZs0aJCYm8p4lElJnVOx43tXVhYcffhh2ux3JydEfRFkJti+++AJLly5lZYDVasXp06cxffp0dhaPEBwOB1avXo2xY0Prstg6WYraoFzPOVSsqVQqeL1eWQUbgUAgEAhC6erqwtq1a2EwGAQt6+Ej2qSI5xaLBT/96U9ZCTZWkpitWAMAs9l8zom1gSQnJ7OeA5eqkDuXOfBIYo1AIBAIhPMZrmvapIrniYnsc1Hy3qrU0dGBjo6Os3J5TZo0ie8pRwRs58Clci4DmzVtRKwRCAQCgRCZeInnbOEs2Pbt24dVq1ahrq4uXJyboijQNA2KohAIyFtAWgliOVku50YTbUSsEQgEAoEQnXiJ52zgLNhuvfVWjBs3Dv/4xz+Qna1MFuZ4YDgny+3cSKKNiDUCgUAgENgRL/E8FpwF28mTJ/Hvf/8bY8awz1N1rjLUyXq9Hm63W3bnDhRtXq8XHo+HiDUCgUAgEFgSL/E8Gpyj+eLFi3HgwAEpbBmRME6maRputxsGg0ER5yYlJcFgMMDtdoOmaSLWCAQCgUDgQLzE8+HgPML2yiuvYNWqVaipqUFFRQW02sGlSq688krRjBspOJ39iT49Hg+8Xq/kVQSGwoysDbQpnn5oBAKBQCDEO/EQz4eDs2DbuXMntm/fjs8///ys986XTQcDGTjHbTQaBWdQ5sPQNWtOp1NQRYSRiKPPiyMtXWi1OeHx+5Go16LQnISy3HTF6k2yodftRW1zF1q7nfD4/EjUaVFgTkJZXhoMWmXqTRII5ztunx9HWmxosvbA5fVBr9UgL9WICfnpMBniI3hHwuML4EhrFxqtPXB5fNBrNMhNM6IsLx3JCtVTHUnEQzyPBueIcN999+HGG2/Er3/9a2RnZ0th04gh0oJEMcpecCHSBgMxyliNFGxONz7cewJ7T7YjGCEHtEGrxoIJBbhscmlcCTe7y4OP9p3AruNtEe3Wa9SYX5aPZVNLiXAjEGSiz+vHZ9+ewrYjzfD4zx58UFEUZo3JwVXTRyNFocLskXD7/Fh34DS21jXB7Yts94xR2Vg+YzTSjNIWZh+pxEM8jwXnSGC1WvHAAw8QsTbM7hGxapWxIdpu0PNBtNU1d+HlzYfQ5x2+vqvbF8AXB89g/+lO3HPJZGQls09SKBX1rTa8tOkgnJ7h7fb4A9hQ04ADZzrxk4snx02NVQLhXKWt24nn1h+AJUrN4yBNY+exVhxssODOiyrjolZph8OF5748ELXmcZCmsftEGw41WnDHosq4qVUaL8RDPGcD51XpV199NTZv3iyFLSOGWFt9uWZQ5gOb1B1cKiKMNE60d+P5DQeiirWBdDhceObzathd0he8j8bpTjue/fLbqGJtIJ09fXj682p09boltowb/kAQe0624Y2v6/DihgN4e8cRHDjTiWAwZqU7wnlEMEjj2zOdeHvHEby44QDe/LoOe062wR8Ixj5YRrp63Xj68+qoYm0gTo8Pz375LU5HKUAvB90uD57+rDqqWBtIn9eP5zccwIn2bmkNG0HEQzxnC+cRtnHjxuHhhx/G119/jcrKyrM2Hfz0pz8Vzbh4xOVywePxxNzqK6Uy55Jn7VwcaXP7/PjHlhrOnb7N6cG/ttXh3ksmK5I/0OsP4B9bDsPH0W5Hnxevb6vF/ZdOjYu8h01dPXh5U81ZQWLbkWYUmpNwx6JKZCYnKGQdIV7odPTh5c2H0Ggd/LC4vb4F2SmncMeiSuSnmxSyrh+apvH6V4fh6OMWiH2BIP6xpQa//v4s6DTyL7egaRpvbKtDN8eHUP93dj969ezzfrkF2zxrUsZzv5/dwzvAY4TtlVdegclkwtatW/Hss8/i6aefDv8988wzXE8Xkeeeew4lJSUwGAyYNWsWdu/eHbX92rVrUVZWBoPBgMrKSnz22WeD3qdpGo8++ihyc3ORkJCAJUuW4NixY5zt0mg0cDqdrPOySKHM+STFPddG2rbWNcHm5DdSVttsxbG2bnENYsnXR5tZP8EPpb7VhtrmLpEt4o6lpw/PfD78E32jtQdPf74PPRyDH+HcoqfPi6c/33eWWGNot7vw9Of7eN8PYnK4yYp6nn2CpacPXx9tFtcgltS32VDbbOV1rM3pwVd1ytgtBnSEdb9c4ZoUV6p4brfbWbfnLNhOnTo17N/Jkye5nu4s1qxZgwcffBCPPfYYqqurMXnyZCxduhQdHR0R2+/YsQMrV67Ebbfdhv3792P58uVYvnw5ampqwm3+/Oc/429/+xtefPFF7Nq1C0ajEUuXLoXbzW2aSaPRwGg0chqlEtPJQioYnEuibeexVkHH7zjWIpIlHK9bL8zunQrZPZC1u+pjTufanB58XH1CJosI8cjH+07EfKhyevx4f1e9TBYNj9D+ROjxvK8rsD9Rqh8UA6/XK0i08a1gIEU8V6vZj86Kllm1tbUVf/7znwWf56mnnsIdd9yBW265BeXl5XjxxReRmJiIf/7znxHb//Wvf8Wll16K//mf/8GECRPwu9/9DtOmTcOzzz4LIKTEn3nmGTzyyCO46qqrMGnSJPzrX/9CS0sLPvzwQ062+f1+JCZyX7QuhpPFKDc1ULQNzDUzkrC7PGi3s1uvMRzHWrvFMYYDTo8PzbZeQedQamSQwdHnxaEGC6u2u0+0cZ76JZwb+PwB7DrRxqrtwQYL56lIsTnWZhN0fFNXL1wen0jWsEdof9Bud8HRp+yaXr7QNA2bzYZgkHsfI7TclNjxPDk5mfVxvGqJRuLMmTPYvXs3Vq9ezfWUYbxeL/bt24eHH344/JpKpcKSJUuwc+fOiMfs3LkTDz744KDXli5dGhZjp06dQltbG5YsWRJ+PyUlBbNmzcLOnTtx/fXXRzyvx+MZlIjW4XBwmmseipA5cDFrgzI/0O7ubhiNI2/noVWExfc2pxvBIA2VSr71YGJsGnD0eeHzB6BVYL0MADR39YDtM63XH0SHw4X8NOXXKBHkpcPRx1qs0wCau3qRrNCuRa8/gB63cLHV1etGol4bu6FIBIM0upzC+xRrjxvJCfGTnoQtOp0Ovb29sFqtnGKiWLVBxYznXGb6OEd+m8026M9isWD37t3YsmUL/vd//5fr6QZhsVgQCATOShmSnZ2NtrbIT2xtbW1R2zP/5XJOAHjiiSeQkpIS/issLOT8eYbCR5lLUcg9KSkJJpMJPp/8T4XxgBL7GMVYcwEoY3v42hwvTpMdo+clkfIKRkOse4MPYl1a7k9Ai3TFkXqHqlQqpKWlwefzwWq1shppE7uQuxLxnHP0/+CDDwb9ffzxx6ipqcHjjz/OeYoxnnn44Ydht9vDf42NjaKcl4uTpRBrDEaj8awdviOBVBGSVaYk6GQdXQOAVBGSVSbqNIrsRmPgkgtOraKQGQc57wjyk5mcADWH+ys3TbmRfp1GhQSd8J2SYvRLXFCrVKJULpDbbjHRarXIyMhgJdrEFmsMcsdz0RTAypUrsWXLFkHnyMjIgFqtRnt7+6DX29vbkZOTE/GYnJycqO2Z/3I5JwDo9XokJycP+hMLNk6WUqwxaDQjb0t3mlGPNKOwTmZ0dqo4xnAgOUGHLIGpLpSweyDpJgPG5rCzYUpxZlxVliDIh0GrwZTiTFZtx+WkKpp5n6IojBF4X2UlJyBJgbJPo7NTBB2fbjQI7kuVRqfTxRRtUok1BjnjuWgq4MCBA5g6daqgc+h0OkyfPh0bN24MvxYMBrFx40bMmTMn4jFz5swZ1B4A1q9fH25fWlqKnJycQW0cDgd27do17DnlIJqT5RBrIxWKojBrdK6gc8wcM7xQl5JZY4TZPWu0MnYP5NpZ46BVR/89Juo0+P6MMTJZRIhHvj9jTMyRK61ahRWzxslk0fAIva+E3te8rytCPxgPeR2FEk20SS3WGOSK55yHWIYu8AdCo1UfffQRli1bNuj9p556irNBDz74IFatWoUZM2Zg5syZeOaZZ+B0OnHLLbcAAG6++Wbk5+fjiSeeAAD87Gc/w4IFC/Dkk09i2bJlePfdd7F371689NJLAEIB/v7778fvf/97jB07FqWlpfj1r3+NvLw8LF++nLN9YhJp4SIAItZisLiiENuONrGuFjCQksxkVBZmSGBVbBZOKMCW2kZei5wL0k2YWpIlgVUc7TAn4ScXT8Yrm2vgjLAzLs2ox48XT4I5iSTOPZ8xJyXgZ5dOxd83HoyY3sNk0OK2hRUoMCufyHtqSRYK0k1o6uK+izvJoMXCCQUSWBWbyqIMlGQk47SFe7UFo16DxROLJLBKGRjRZrFYwhsRnE6nLGKNQY54zlmw7d+/P+LrVVVV6OjoCOdL46vcr7vuOnR2duLRRx9FW1sbpkyZgnXr1oU3DTQ0NAz60HPnzsXbb7+NRx55BL/85S8xduxYfPjhh6ioqAi3Wb16NZxOJ+688050d3dj3rx5WLduHQwG5YvgDnRyZ2cngNCPj4i14TEZdLhpXjn+vvEgp0WzCToNVl1YDpVCT5WJei1unl+O5zcc4LTYWa9R45YFE2VfdzccZXnp+O0P5uDro8040mJDr9uLlEQ9yvPNmDsu97zPnk4IUZyRjEevno0d9S043NQFR58HJoMOZXlpmDc+H0YZd1VGQ6Wi8KMFE/GX/+6NWPB9OCgKWHXhRFl3hw5ERVFYtaAcf/7vXtYl+gCAAnDTvHKYDPHx/YvFQNHW2hrKUSeXWGOQOp5TtJJbdEYQDocDq1evRlVVFa9cbLHweDywWEI5rjIyMqDXS7u2wOv1wu12Y8WKFUhPH5mFgL851oo3t9chwGI3osmgxT0XT0ZJprB1H2Kw92Q7Xt9Wy6q0llGvwd1LJiu+fo1AONc53taNFzceYDVyr1GrsGp+OWaMyo7ZVmpOddjx/IYD6GUxcq9WUbhp3gTFpnHFoKurC2vXroXBYIiYSsNqtYZTZeTm5ioy8MElnrtcLtx+++2w2+0x18qTR+E4wOv1wmq1hndtWq1WUWuVnavMHpuL/HQT3vumHseHKWZMAZgxKhvXzByLlDjZETVjVDZyU414b1c96lsjJ+2kAEwrzcI1M8cquiibQDhfGJOTil8tn4X3dx3D/tMdw47ej8tNw7Wzx8VNjsHSrBQ8snwW3t99DPtOtg9r95jsVFw7exwK42AaWip6enrgdrthMBjg8Xg452kTAynjOSvBdumll+I3v/kNZs+eHbVdT08Pnn/+eZhMJtxzzz2CjTsfGLogEYAkBWbPVQrNSfh/y6aj0dqDmiYrWm298PoDSNRrUWhOwuSiTKSb4k/w5Keb8MBl09Dc1YtDjRa0djvh8fmRqNeiIN2ESUWZyCDrwAgEWUkzGnDHRZWw9PThYENnuIqBXqtBbqoRlYUZcVGwfigpiXrctrACy2eMxsEGCxqtPXB5fNBp1MhNM6GiwHxOCzXg7A0GTGyVU7RJHc9ZCbYVK1bgmmuuQUpKCq644grMmDEDeXl5MBgMsNlsqK2txddff43PPvsMy5Ytw1/+8hdBRp0vDLd7hG8G5fOZQnPSiOyQ8tNNcRkACITzmYykBFw0Ahflm00JWFQuPMn7SCPSbtBIGxGkFG1yxHNWgu22227DjTfeiLVr12LNmjV46aWXwhXmKYpCeXk5li5dij179mDChAm8jTmfiLbVV0jZCy6Q5YsEAoFAGMlES90hl2iTK56zXsOm1+tx44034sYbbwQA2O129PX1hXOPENjDJi+L1KKNpmleRWsJBAKBQIgH2ORZk1q0yRnPeVudkpKCnJwcItY4wiWJHp9aZWwIBoOw2WxkhI1AIBAIIxIuedbYVETgg9zxnCT6khE+GY/FFm3BYBBWqxV+v5+sjSMQCATCiMPv96O3t5dTnjWxRZsS8ZwINg7odDreThZSnkIs0caINZ/Ph7S0NJKYl0AgEAgjDp/PB5PJxDkprliiTcx47vezT3pMIjYHVCoVHA4HZyeLUUtMqGgbKNYyMjLIVDaBQCAQRiRarRZGo5HXsUJFm9jxnNnAyeo4zlc6j/F4PAgEApycLGbhV76ibahYI1OhBAKBQBipaDTCcv7zFW1SxHO1Ws36GM6fetWqVbjttttw4YUXcj10xEPTNFJSUtDb28tqt4mYzmXgutsknsRaU1cPDjda0Wp3wusPwKjTosCchMlFGUiN42z+zbbekN3dTnj8fiTq+pPbxmNSXobWbidqGi1osTnhHpSUNwNmU/wm5W23u3Co0YIWWy/6vH4k6jTIHwHJhDscLhxqsKD5O7sTvrO7sjADWcnil7MTi05HHw41dqK5qxeu7+zOSwvZnZ0Sv3Zbe/twsMESTm5r0GqQl2ZERWEGclP5jb7IQVevuz8pr9cHvSaUlLei0Iy8OKmeEIlupxsHGixosvbA6f0uKW+KERMLzShIH3k5MLnuHpUqnscqRzUQzoLNbrdjyZIlKC4uxi233IJVq1YhPz+f62lGLBqNhpWTpXAuA1vRFi9irdHag7W76nGsrTvi+2u+OYpZo3Px/aoxSE6In9G/Zlsv1n5Tj6PDlI96b1c9qkbl4OqqMXFT9goICbW1u+pR19wV8f2139THZdmrDrsLa3fVo6bJGvH9tbuOYWpJJq6ZOTauBGenow/v767HwQZLxPff33UMk4sycM3McchMjh+7rb19eH/XMXx7pjPi+//efQwVhWasmDkOWXEk3GxON/69+xiqT0UuH/WfPccxIT8d184ah5w4Em52lwf/2XMce062IdIG/Q/2Hsf43DSsiKOyVwDg6PPigz3HsetEa0S7P9x3AmNzUrFi1sgre8VWtEkdz9nCq/h7Z2cn3njjDbz++uuora3FkiVLcNttt+Gqq646Z9dGDS3+Hs2BUjp3INEEWSyxJlfx913HW/HG1+wKtCcn6HDPxZNRlMH+iUMquBRoj6fC8vtPd+DVrYfhG2GF5Q81WPCPLTXw+AMx2yboNPjx4kqMz5Xud8uW2mYrXt50CG5fbLsNWjXuuKgS5flmGSyLztHWLvx94yH0eWMveNZr1LhtUQUqCzNksCw6XAq0a9Uq3LpgIqaUZMlgWXS4FGiPp8LyDRYHnlt/AI6+2Mtv5CosH6v4Ox+UjOdcir/zunJmZiYefPBBHDhwALt27cKYMWNw0003IS8vDw888ACOHTvGy/CRxHBz4HKJNWD4NW3xMrL27ZlOvP5VLSuxBoSe5P72xX50OlwSWxadmkYL/rm1hpVYA4Betw9/++JbtNmdElsWnSMtXXhlcw0rsQYATo8f//fFt2i29UpsWXSOtdnw900HWYk1AOjz+vH8+gNotPZIbFl0TnXY8cKGg6zEGgC4fQG8sOEgTnWwX2QsBQ0WB5778gArsQYAHn8Af994EMfaIo80y0VzVy+e/fJbVmINAHyBIF7eXIMjLZFHmuWirduJ//vyW1ZiDQD8gSD+ubUGNY2RR2zlotPhwt++2M9KrAFAIEjj9a9qcWCYEdt4Jh7iORsEXb21tRXr16/H+vXroVarcfnll+PQoUMoLy/H008/LZaNcctQJ3s8HtmdO1S0eTyeuBBrPX1evLGtNuKURTScHj9e31arWFJfp8f33fW5Hdfn9eO1rbUIKmR36PqHOV/f4w+EjmMpqsXG6w/gta3sRX3/caGgFhApASZXfP4AXt16mLWoZ/AHgqxHQKUgEOR3/UCQxmtba+FlKarFhrGbrahnCNI0Xtt6GG4f+9QJYhKkabz21WHW4piBpoHXt9XC6WEn8sSGpkPii604Dh8H4F/batHrHnlVdOIhnseCswU+nw///ve/8b3vfQ/FxcVYu3Yt7r//frS0tOD111/Hhg0b8N577+Hxxx+Xwt64g3Eyo8Q1Go3szmVEm0ajCY+0Kb3BYOPhBrg4dlIMJ9rtqB1m/ZXUbK5tZP0kPJQzFsew65ik5qu6JthZPgkPpamrF/tOt4tsETu2HW1Gl9PN69i2bhd2n2gT2SJ27Dzeis6ePl7Hdvb04ZtjLSJbxI7dJ9rQZuc3gt3ldOPro80iW8SO6lMdvEeC7X1ebK1rEtkidhw804kzFn4jwb1uHzbXNopsETsON1lxgudIsMvrx4aaBpEtkod4iOfR4GxFbm4u7rjjDhQXF2P37t3Yu3cv7rrrrkFzr4sWLUJqaqqYdhJGEDRNY9dxYYH0m+OtIlnDDaF271LKboHCRejnVuq6I9XubxSyW+h1lbJ7xP6+Bdq9e4T+vncdbyOlDyWAs2B7+umn0dLSgueeew5TpkyJ2CY1NRWnTp0SatuIgFHijDL3+/2i1ipjw8ByU8zImpi1R7li7XWj2+URdI4T7d3iGMMBu8sDC89RE4bjCtjt9PjQ2i1s/dyJ9m7ZO1iPL4AmgevQTnbYZZ/O9QeCON3pEHSO050OztOpQgkGacHr55qsPfCwXLMnFjRNC+4PWrudikwvCu0POnv6YBfYl/LhREe3oOO7XR509fIbOVeSeIjn0eAs2G666SYYDPGTCkBJhi5I1Ov1khSYjcbQDQZ6vV6SgvFcsPGc4hpIt9Mju4CwOYV3jL1un+yBWIzv2+0LsF48LxbdLg/nNY5D8QWC6JU5EDv6vILXKgZpmvVibrHo9fgEr52jAdkFhFi/zW4R7m8u+AJB3ssrBiJGv8QFmqZF+a7ktlso8RDPYxEfE7MjkOF2j4hdYDYaw+0GFbtgPFcoUGKcRHYoka4p1nnYX0+cC8pvtzjnUSnwWxED2b/vuDsRy8uN1PtSrPMo8fsWowsfQfdlPMRzNhDBxoNYW33lcHKs1B1KijZzkvAR2HSjQTQhwuWaQklJ1EMt8wJVMew26jXQa9iXSBGD1ES94E5dr1EjUS9v7seURB00AlWiRkXJniTaaNAK9rGKopAmc5JovUaNRJ2wUkQAZE8SrVGrkCKCj80yV1OhKEqUPiWeq8AMJB7iOVuIYOOI3+9ntdVXSiezzbOmlGhLTdQLLiE0LjdNJGvYk5SgQ06qsIzuY3NSxTGGAwk6jeAM42Nz0mQXyDqNGqUCkw2PyUmFSma71SoVRmUJs3tUdqrswl5FUYKTJJdkJkMrs7CnKApjc4T1B4XmJCSIIPq4ItTu3FQjTAb5d/sL7X8zkhKQGkfVX4aDbZ41qeM5W4hg4wBFUbDb7azzskjhZK5JcZUQbRRFYc5YYdmuhR7Pl7lj8wQer4zdI/X7Hql2zx03Mn8nc8eNzO97jkC7FbsvR+r3LcJ9KfcDIFe4JsWVKp47HOw3MBHBxgG9Xg+1Ws0pL4uYTuZbwUAJ0baovJD3dEBFgVnwkylfLiwr4D0dMD43DWV5ypRLmjcuD5k8RzVHZ6UoVnZo9phc5PCsU1mckYypCpUdmjEqm3e9x/w0k2Jlh6YWZ6E4g99obE5qImZLXHZoOCYVZmA0z1HNzKQEXCBQYPNlQl46xvMcrUo3GnBhWYHIFrFjTHYqJhbwK6GWkqjHovJCkS0ajN8vLBEy3woGUsTzQID9hhoi2DgQDAaRnJzMOYmeGE4WWm5qqGjz+aTdWZeg0+DWhRVQc1zrk2bU48Z5EySyKjZ6rRq3LpwIjZqbj5MTdLh5frliT5VajRq3LqyAlqPdJoMWP1owUTG7NWoVbl1YwXltVaJOg1sXTJR9OpRBrVLh1oUTYdBysztBp8FtCyfKPh3KoFJRuGVBBec1YXqNGrctqOB8X4gFRVH40YKJMBm4rVfUqlW4bVGF7NO4DBRF4eb55ZzXK4bui4nQc/x9iQVFheqCphm5TWuqVRRuXTBR8ulnn88Hp5NfKiOh5abEjucpKewfRIhg44DX6+Wd8ViIk8WqDTpQtNlsNskXT47LTcNdiyexDmpZyYm4/7JpSFF47cPo7FT8ZMlk1p1ORlICHrhsmuKLbEsyk3HvJVNg1LOzO91kwP2XTRO83lAoheYk3Ld0CutgnJqox/2XTUMWz5E5schLM+Fnl05jHYyTE3T46dKpyOU5MicW2Smh+4ztGiOTQYv7lk5BgcB1kkLJSErA/ZdNYz0CbtRrcO8lU1CcEb2gttSkmwx4gMN9lqDT4CdLJgtebyiUFOY+S2Z3nxm0aty1eJIs64+1Wi16e3vR08Mtj6NYtUHFjOcaDXtxS9EkHTErHA4HVq9ejaqqKiQm8g8UXH8wUhRyDwaD6OjogEqlwk033YT0dGmn8aw9ffhg73FUn+6IWKNTr1FjwYQCXDalBAat/AuDh6Or140P9x7HvlMdEfNu6TQqXFhWgMunlCqyoHk4ul0efLj3OPacaI9ot1atwrzx+fje1FLZd1hGw9HnwUd7T2DXibaItUU1ahUuGJeHK6aNgjGO7O7p8+Lj6hP45lgr/JHsVlGYMzZkd5LMO0Oj4fT48PG+E9hxrDVi7kC1isKsMbm4avooJCfEzwJyl8eHT/afxNdHWyLmlVNRFGaOzsFVM0bH1cL3Pq8fn317Cl8daYLXH9nuGaOycdX00Yo//A3E7fPj829PY2tdU8RarhQFTCvJwvdnjIFZhoe/rq4urF27FoFAAC6XC8nJyUhKiv0wIUUhdzHiucvlwu233w673T6oYlQkiGBjiViCDWDvZCnEGoPH44HD4cCNN94ouWBj6HZ5UNdsRVu3Cx5/AEa9BoXpSSjLT48roTYUu8uDuuYutHY74fEHkKjToMCchPI4t9vR50VdsxUtNifcPj8S9VoUpJtQnm+OK4E5lF63F7XNXWix9aLP60eiLmR3WX56XAm1oTg9PtQ2W9HcFbI7QadB/nffd7zbXdfcheauXri8PiToNMhLM6E8P12RHYps6fP6UdtsRVNXL1yekN25qUZMyDfLnjKFC31eP+pautBk7YHL64deo0ZuqhHlBelxJYyH4vb5caS5C41dPXB6QnbnpBpRnp8u66wII9gMBkM4jsUSbVKINa7nHi6eE8EmAWIKNiC2k6UUa8z1+/r6cO2118om2AgEAoFAEMJAwabT6dDT0xNVtEkp1theI1o85yLYyBo2hYg2By61WGOI923XBAKBQCBEIykpCcnJyXA4HGetaZNDrAHyxXMi2BQkkpPlEmsEAoFAIJwLRBJtcok1BjniefwuZDlPYJxssVhgsVgAhHLMELFGIBAIBAI7mOlQh8MBr9cLj8cjm1hjkDqekxG2OECn08FsNsPn88Hn88FsNhOxRiAQCAQCB5KSkmAwGOB2u0HTtKxijUHKeE4EWxwwtDyFw+FQtMAsgUAgEAgjDWZkjYFvcl0hSBnPiWBTmIFz3JmZmcjMzJSkwCyBQCAQCOcqA9es5ebmDrsRQUqkjudEsClIpAWJUhSYJRAIBALhXCXSBoNou0elQI54TjYdKES03SMDFy5arVZF5uFHEsEgjbqWLtQ0WsLJbY16LQrTkzClJFPx0jTDEaRpHG3pwqFGC1psTFJeLQrNJkwuykRJZnJcpl4J0jTqW21hu90+fyiZcHoSJhVlYFRWSlzaTdM0jrV142CDJZSU1/ddcts0EyYVZWBMdmrc2n28PWR383fJhBO0oeS2k4oyMDYnfu0+2WHHwQYLmrpCSWINWg3y0oyoLMzAuNw0xWrBRoOmaZzudOBAQycaraFkwnqNOmz3+Lz0uLQbAM5YHPj2dOd3yW1DduemGVFRkIEJeelQcaztPBKItht04EaEgf8WG7niOUmcyxIxE+ey3eordXbm3t5erFy5ckQnzq1r7sKab46i3e4ats343DRcP3c8clKMMloWnfpWG97deRSt3cOvsRiTnYqVc8cjT+HakwM50d6Nd3YcRbOtd9g2o7JSsHLOeMVrTw7kVIcd7+w8ikbr8E/aJRnJWDl3PIriSOCfsTjwzo6jOGNxDNum0JyElXPGozSLfRFpqWmy9uCdnUdxssM+bJv8NBNWzh2veM3MgbTYevHOjqM43t49bJvcVCOunzNelpqZbGnrduKdnUdR32obtk12SiKunzMeZXkjt78HBifOBcAqRsZKrisEofGcVDqQALEEG9e8LFKJNpvNBq/Xi5tvvnnECrb1h87gP3uOs2qr16hx50WVKC8wS2xVbDbXNmLtN/Vgc+Np1SrcvqgCk4oyJbcrFtuONOOdnUci1oMdikatwi0LJmJaSZb0hsVg57EWvPn1kYh1VYeiVlFYNb8cVaNzZLAsOntOtOH1bbUR66oORUVRuHHeBMwZmyuDZdGpPt2BV7cejlifdCgqisLKueMxb3y+DJZF52BDJ17ZXBOxPulQKADXzh6HheWF0hsWg8NNVry86VDEOp+RuKZqDJZUFktslXQwgk2tVsNut7OOjVKINjHiOal0EKfwSaInxZq2np4e9Pb2QquN3/qGsdh5rIW1WAMAjz+AFzcejDpSIQd7TrThPZZiDQB8gSBe3nQo6kiFHOw/3YG3d7ATawDgDwTxj801ONY2/BO/HBxqsOCNbXWsxBoABII0Xv3qMOqauyS2LDp1zVa8+tVhVmINCE1Tv7GtFocaLRJbFp36Vhv+sbmGlVgDQna/tf0I9p/ukNiy6JzssOPlTYdYiTUAoAGs+aYee062SWtYDM5YHPj7xoOsxRoA/HvPcew81iKhVdITDAZhs9k4DWSIvaZNiXhOBBsHNBr+S/6EZDwWU7QxTxkmk0nQ51GSbqcba3bWcz7OFwji9a9qEVBoI4ejz4O3dxzhfJw/SOP1r9iNWEhBr9uHt7bXcT4uSNN47ataeDkEEzHp8/rxxte1rMUxA00D/9pWC49PGbvdPj9e31bHWhwz0ADe2FaLPq9fErti4fUH8Pq2WtbieCBvba+D0+OTwKrY+ANBvPbVYfhZiuOBvL39CBx9Xgmsik0gGOrP2IrMgazZWY9up1sCq+TB6/VCo9FwnnUSS7QpFc+JYOOARqOByzX8WqnhEKM8hRiibeCQsNEYP+u5uLK+poHTE+VAWrudqFboaX7T4Ua4eYqADkefYk/zW2ob4fTwEwFdvW58c7xVZIvY8VVdE3rc/ERAt8uD7fXNIlvEju31LbC7PLEbRqDH7cNXR5pEtogd3xxvRVcvPxHg9PixubZRZIvYsftEGzodfbyOdfsC2HS4QWSL2FF9qiPqGthoePwBbKhRxm4xoCgKaWlpvJYICRVtYsfzgTnbYkEEGwf8fj+cTicnJ4tZS0yIaJNy0aWc0DSNvSfbBZ1jzwlhx/OBpmnB11XCbgDYI/D7Fuovvgi1W7Hve6T+Tkao3YL7k5PtUGIpuODft0J2i4FOpxO0M5qvaJMingcC7B/iiWDjgN/vh9FoZO1kKQq58xFt54pYAwBrr1vwFMSpTvnXgzn6vOgSOAVxqtMuewfr9PjQ4eA+qjyQU50OBHlMNwnB7fNH3cnKhgZrj+zT0L5AMOpOVjY023pln84NBmmcFrg+tMPhkn1alKZpwf1Blwh9Eh+E2u3o8/IeEVUaMdLYcBVtUsXzlBT2u7uJYONIYmIiKydL4VwGLqLtXBJrAHhPFQ2k1+2TfR1btwh2u30BeP3y2i3G9+0PBOGSeV1VjwgBNEjT6HXLG4idbi+vNWBDcfQJ9xsXXF6fKOLWIcLvjQsef4D3MoWBiHGfcCEQDKKX53T/QMTol0YybEWblPGcy1pyIth4EMvJUjqXgY1oO9fEGhBKuyAUihLnCY0LYtgNQPbEl2qR0siI9fnZX08cu+VOWC2Wf8X6/HJfT3a7ReoH5LaboiiIYbrcdscj8RDP2UK8xZPhnCync6OJtnNRrAFARlKC8HOYEmTPVG42JUDoFVMT9dCq5b1l0416wd+VyaCFQasWySJ2pCTqoBH4XRm0apgM8qa+MRl00GuEfVdatQopifIGFYNWDaNe2HeloiikGfUiWcQOrUaN1ERh16QAmJMM4hjEEhVFwWwSoS8UoT89F4iHeM6GuBFsPp8PDz30ECorK2E0GpGXl4ebb74ZLS2x88U899xzKCkpgcFgwKxZs7B79+5B77vdbtxzzz0wm80wmUy45ppr0N4ufIHrUCcr4dxIou1cFWtAKKDlC8z8P16BDOUJOo3gEllK2K3VqDE6W1gG/XE5aQqMaKowVmAGfSVKJ6koSnAG/TE5qYqM+Aj9fY7OToFWoFjlg1C7izOSYdDKnyJJqN0F6SbZH0jimXiI57GIG8HmcrlQXV2NX//616iursZ//vMfHD16FFdeeWXU49asWYMHH3wQjz32GKqrqzF58mQsXboUHR39qRseeOAB/Pe//8XatWuxdetWtLS04OqrrxbF7oFObm1tVcS5A0Vba2vrOSvWGOaNzxN0/AUKZVW/QLDdwo7nfd1xwq6rVBZ7od/XvHHK2C309z1PoL94X1fo71shuwX/TspG5u9Eqe87nomHeB6NuBFsKSkpWL9+Pa699lqMHz8es2fPxrPPPot9+/ahoWH4fDFPPfUU7rjjDtxyyy0oLy/Hiy++iMTERPzzn/8EANjtdvzjH//AU089hYsuugjTp0/Hq6++ih07duCbb74RxfaBOc30er0iztXpdNDr+4f2R3KetVhcMD4f2Sn8yoPNKM1GSaYytSLnjM3lPTo4uSgTY3OUqV1YNSoHRTzrgpbnm1GWp4zdU0uyMIpnfc1xuWmoKFSmjFllYQbG5aTyOnZUVgqmKFQOrCwvHeX5/L6zInMSqkYpUw5sbE4aJhdl8Do2P82E2WOUsbskMwXTS/n5OiclUbEH13gnHuL5cMSNYIuE3W4HRVFITU2N+L7X68W+ffuwZMmS8GsqlQpLlizBzp07AQD79u2Dz+cb1KasrAxFRUXhNpHweDxwOByD/iLBDJtSFAWDwQC32y1K2Quu9PT0wO12w2AwgKIo0cpYxSNMfU2u66JyUhJx/dzxElkVG7VKhdsWVSBRx236JDM5ATfOK5PIqtioVBRuW1TBefok3WTAqgsnyD4dyqCiKNy6YCKSE7h1uKmJetxyYblidlMUhR8tmMh5bVVygg63Lpwo+zQuA0VRuHn+BKSbuK3nMhm0uG1RhewbagZy47wJyOS4nitRp8HtiyoUXbi/cm4Zcjg+vBq0aty+qFL29bAjgXiJ58MRtx5zu9146KGHsHLlymELolosFgQCAWRnZw96PTs7G21toazwbW1t0Ol0Z4m+gW0i8cQTTyAlJSX8V1h4dpHfoXPcZrNZ1FplbBm4Zs1sNoteezQeKUhPwv2XTWO9SLk0Mxn3XzZN8MJooeSmGvHAZdNYB7UicxIevGwaTAZln/KykhPxwGXTWAe1gnQTHrx8GpIT5F1EPhRzUgIeuHwaspLZBbXcVCMevHw6Uo3yLiIfSprRgAcvn4bcVHYj5dkpiXjw8umiLEQXQkqiHg9ePo31SHJmUgIevIy9f6TCZNDhgcunsR5JTjcZ8MBl05DD0j9SYdRrcf9l01jPGqQZ9bj/smnITxe2DvhcJF7ieTQUE2xvvfUWTCZT+G/btm3h93w+H6699lrQNI0XXnhBEfsefvhh2O328F9j4+CyKcMtSBS7wGwsIm0wkKJgfDxSnJGMR5bPwpKKomFH29KMeqyYNQ7/b9l0pAjcDSYWBeYkPLJ8FpZOKkbCMKNtKYl6XDNzLP7nezMUFw8MeWkm/HL5TFw2uWTYUcLkBB2WzxiN1VdUKS4eGHJSjPjV8plYNrV0WMGeZNDiymmj8PCVVchMjg+7M5MT8Ysrq3DltFHDjm6aDFosm1qKX141k/cyAbExmxLw0JVVWD5j9LCjm0a9BpdNLsEvl89ErsBNRGKRZjTgf743A9dUjRm2r0jQabB0UjEeWT4LBTyXCYhNSqIeP182HStmjR32AdagVWNJRREeWT5L8Oanc5F4ieexUKz695VXXolZs2aF/52fH5pPZ8TamTNnsGnTpmFH1wAgIyMDarX6rB2f7e3tyMkJrSvIycmB1+tFd3f3oFG2gW0iodfrB60JG0is3SOMcGKmUaVa/B9tNygj2iwWC6xWK+ciuSOFRL0W18wciyunjcKJDjtau53w+AIw6jUoNCehyJys6FTLcCToNFg+YwyWTR2Fkx3daLU54fYFkKjXoCA9CSUZ8Wm3QavBldNH4/IppTjZYUeLrRduXwAJOg0K0k0oyUyOy9xOOo0a35s6CpdNLsHJDjuau/rtzk8zoTQrfu2+bEopLplUjFMdDjTbetHn9SNBp0FemhGjslLi0m6tWoWlk0qwpKIIpzsdaOoK2W3QqpGXZsKorBTBaVekQKNWYUllMS6aWITTFgeaunrg8oTszk0zYlRWalxOJapVKlw0sQgLJxSiwepAo7UHTo8feq0aualGjM5SZgfuSCBe4jkbFBNsSUlJZ31wRqwdO3YMmzdvhtkcfQGrTqfD9OnTsXHjRixfvhxA6MvfuHEj7r33XgDA9OnTodVqsXHjRlxzzTUAgKNHj6KhoQFz5szhbDfbrb5SO5lN6o7zRbQBofQTZXnpKMtLV9oUTmjVKozPTcf43JFlt0atwrjcNMEpKORGrVJhbE6aYhs4+KJWqTAmJxVjeG5GUAq1SoXR2akYLTDFityoVBRGZaXw3rSiFCoVhZLMFJRkjiy7lSJe4jlbFBNsQ/H5fPjBD36A6upqfPLJJwgEAuE1Zunp6eEvcvHixfj+978fFmQPPvggVq1ahRkzZmDmzJl45pln4HQ6ccsttwAI7T697bbb8OCDDyI9PR3Jycm47777MGfOHMyePZuznYzD2Gz1lcrJXPKsnU+ijUAgEAgENnDNsyZVPHe52NdqjhvB1tzcjI8//hgAMGXKlEHvbd68GQsXLgQAnDhxAhaLJfzeddddh87OTjz66KNoa2vDlClTsG7dukEbEZ5++mmoVCpcc8018Hg8WLp0KZ5//nnONup0uvAmB7ZbfcV2Mp+kuJFEG4FAIBAIIxGh67L5JsWVIp47nU7W7eNGsJWUlIBmUfT49OnTZ7127733hkfcImEwGPDcc8/hueeeE2IiVCoVUlJSOOdlEcvJQioYDBVt0dYGEggEAoEQr3i9Xmi1Wl450oRWMBA7nnPJmRo3gm0k4PF4oNHw+8qEOlmMclMDRZvNZkNCQnzshiMQCAQCgS0URcFms3EWbWKVmxIznqvV7DeDkMVMHGAzAhgNvluExawNyog2v98Pr9cr6FwEAoFAIMiNTqeDRqOBxWJhHcfErg2qRDwngk1muDpZikLuOp0OaWlpggUogUAgEAhyQ1EU0tLSoNVqWYk2qQq5yx3PiWBTALZOlkKsMfCd/ycQCAQCQWkoioLZbI4p2qQSawxyxnOyhk0hYs2BSynWGORM7+H2+bH3ZDtqGq1oszPJbbUoNCdhSkkmKgsy4jJRrMcXwN5T7ahptAxIyqtFQboJU4ozUVmUEZeJS73+APadasehRstZSXknF2VgcnFmXNrt8wdQfboDBxssaOnuhdv7XXLbdBMmF2ViSnFmXCZc9QWC2H+6AwcbOtFicw5KbjupKBNTS7LiMuGqPxDEt2c6caChE81McludGnmpJkwqysC0kqy4TLgaCAZx4EwnDjRYBiW3zUszoaLQjOml2dDFqd2HGiz49kwnmrp64fT4wsltKwszML00G3qONZLlIBikcajJgm9Pd36XlDdkd06KERWFZswYlQ2DVn45oVKpYDabYbVaYbFYzhJkUos1BrniOUWTeTFWOBwOrF69GlVVVUhMFK8ETCRHyiHWvF4v3G43VqxYgfR06ZK20jSNb4634t+7j8Pp8Q3bLjfViBvnTYirRJW7T7Rh7a569LqHtzs7JRE3XFAWV4lY951sx3u76uHoG36aIDM5AT+cWxZXiYa/Pd2BNd/Uo9vlGbaN2WTAD+eWobwgflLTHGqw4J2dR2BzDm93utGA6+eOR2VhhoyWRae2yYq3dxyBtdc9bJvURD2umzMeU4ozZbQsOkdauvD29iPo7Okbtk1ygg7Xzh6H6aXZw7aRm2NtNry1/Qja7cPn3UoyaPGDWeMwc/TwVXjk5kR7N97afgSt3cOnnzDqtbhm5hjMHpMLipL2wburqwtr166FwWAIC7BIwkwusTYQPvHc5XLh9ttvh91uj5m9gQg2lkgl2IDBDmWuJaVYA+QRbDRN471v6rGlrolVexVFYdWF5Yp3VjRN4z97jmNDTQOr9iqKwo3zyjBnbJ7ElkWHpml8XH0S6w6cZtWeArBy7njMLyuQ1C42fPbtKfy3+iTr9itmjcNFEwsltIgdXx46gw/2HGfd/vtVY3BJZbGEFrFj0+FGrN1Vz7r9FdNG4fIppRJaxI6vjjTh3R1HwTZoXTa5BFdMGyW5iIjFjvoWvLm9Dmyj7ZKKIlxdNUZxu3efaMPrX9UiyNLwheUFuHbWOEntjiTYgMGizWw2w+FwyCrWGLjGcy6CLf7G6M9DBs6ByyHW5GLdwTOsxRoABGkar39Vi/pWm4RWxWbj4UbWYg0I2f3G13WobbZKaFVsvjrSzFqsAQAN4O0dR3GowRKzrZTsqG/hJNYAYO2uelSf7pDIInbsPtHGSawBwAd7jmP3iTaJLGJH9al2TmINAP5bfRI76lsksogdBxs68Q4HsQYAnx84ja+ONEtmExtqm61482v2Yg0ANtQ0YNPhRumMYkF9q42TWAOALbVN+OLgGQmtGh5menTg7lG5xRogbTwngo0gCW3dTnzCMQgDIfHzr2218AWEZbLmS6fDhY/2cgvCAEDTwJtf18HrD0hgVWy6et349+5jvI59c3sd3D6/yBaxw+7y4L1vuIkHhre3H4EryjS7lPS6vXh351Fex7678yh63cqk1HF5fHh7Bz+73/umHvYo09VS4vb58db2I7yO/ffuY+iKMu0rJV5/ICTWeBz74d7j6HQMP+0rJb5AEP/axk2sMfy3+iTaokyfEvjz/7d35+FtVXf++N9Xu21Zsi3v8ZKQfU8wIQthKcmQQKYJ0B9Lv0CAsraEsqSQwgyEedoZCnQKA1MI0yFhSjMF0rK0hQmFQFhCAk0gZCWLCXY22/EmedN6z+8P9epKjiXdXbL9eT2Pn8eW75WO7ufecz53OedQwpYF4i+hKhnXJRv9dXeDooMdANq6/dj+TWauQry7pxFhXlm5O3oC2Hb4pMYlkmbT3kbFSa6vL5ixqycf7DuKgMIktycQwscHMnP1ZPO+Y+gLKkty+4JhWVeetfTx18dTPkuaSiAcwQf7MnPVZ8vBEymfyUwlFOHx/l7pV8y1tO3wyZTPNqYS5hne25OZq1V/q29K+WxjKjxj+Otu48st3BINh8OxK2tyxmnTip7tOSVsGdb/gUSlg/Flkwgf7TGnxo4jxt/u4hlTXe4vMlBuxpjq7ZWJ7a3F52aq3Gpvx2ZiPwGAHYO03Go/d8eRloyMO6l2//zi2xbFJ75qP1eNnQ2nEFE536cc/TsY2O12SUN+aE3v9pwStgxK1ntksCdtLb4++EPqbg02tPo0Ko10bV3+lD1CpWho9RneMHj7gqpvVTW2dRneMPQEQmhN0dNPiuPt3QgbfPs8EIqk7DEnhTBEjJHCER7H2tXVJ6e6+hRfoVOK5xkaVdYHnb0BxVfolGKMoeGUunJ3+0MZuZ2rtv7tC4bRYtDt3GS9QYVn2oxK2oxozylhy5B0XX2NSNp4nc6AujSoGLv9IcMTny4NnivyhyKGJxBabO9whIdf4S0+pbQoN8+Y4QmEVs+fGf0cW08gJOvB92S0OE7k6AuFFT+mEE+L/U2OUIRXfLs/ntHl5hlTfeIKGFPudEN3GJW0GdWeU8KWAVLHWdMzaQuFQrrtvFoMEGrJwCC6WpSbAwwfkFarAVmNHpBWq3IbPSCtVtvJ6O2t1ecZvb01278txpbbbOKgRS1m9PbmoE39q3e5GWOSxlnTO2kzsj2nhM1gcgfF1SNpCwaD6Ojo0G2snBKX+nHqSt25ho9BVOLKgdqPLHHlGD5jg8fpgFnlZxbm2Q0fGb4gz666Unc6rMixGTvCen6ODQ6Vo9E7rGbk5xg73ECuzQKnw6rqPaxmEwpy7RqVSBqbxYzCPHWfaTZx8OQ5NCqR1M80odiVo+o9OA6q30P+Z3IodWtTh+uFMYaOjg7J46zplbQZ3Z5TwiaD2gRC6QwGWiZtwWAQra2tsFgsuo1P43RYUeNRN+7MxErjR7J3WC04o0TdTAuZmDnAajFjTFmBqveYOML47W02mTC+Ut0MEZNGeAxP7E0cpzrOE0cUwWRwuTmOw0SV5R5fWZiRKc3UlntseWFGpthSW+4zSt0ZmfJJbblri/ORZ1d3cpBKMBhM6A0qhdZJWybac0rYZLDb7QiHlT3no3a6KS2SNiFZs1qtKCws1LWhO2+i8tHzOQ6YPyEzswaoKTcAnJehWQPUl3uERiWR+7nDtdwZ2k8GabnVzsaRqf3kXJWfm6ntPX/8CFV3G/QuN2MMhYWFsi86aJW0adme9/Ymn6qsP0rYZOB5Hl6vV3aQtZobVE3SFp+seTz6X5WYM6Yc1Qqvsl0wsQrl7jyNSyTNWaPKFM9nOn98JUYUOTUukTQza0swtrxA0bqzx5Sjtjj1lCh6mVLlwcQRys7m60aVYrTKK4tKTagsxLQaZfOCTq8pztgcrmPKC1A3qlTRupNGFGFKhuZwHVniwmyFU9aNKy/I2FyoVUX5mD9O2cnnGaVunHVGZuZCLS/Iw/kKTwJrPPmYPUbf6QVtNhusVmVX8NQmbVq35z090nucU8ImQzAYhNlslhVkrSdyV5K09U/WTAbc0jCbTLjlO1PhkvmczugyNy47a4xOpUrPZOJw0wVTZD+nM7LYhStmj9OpVOlxHIcfXDAFRU55z+lUe/Jx9dzxOpUqPY7jcMN5k1GSL+85ncrCPPy/eRN0KlV6HMfhuvmTUCbzOZ1ydy6unT9Jp1JJ8//mTUBlobwTopL8HFx/3uSMzm159bzxsk8Ci5wO3HjBlIyW+/+bPQ4jZZ4QFeTacdMFUwy/bR7v8rPGYLTMk1dXjg03f2eq7rfN1bZhSpM2PdrzvDzpxyIlbDK5XC7JQdY6uAI5SVsmkjVBiSsHK5fUSW4cZtSWYMVFMzLyrEm8IqcDK5fUoUri1bKp1cX48eKZhj+0319Brh0rL6lDbbG0fW3SiCLctXhmRp6RiefKseHeJXUYVSKtURtfUYh7Lj4TuTo+IyOF02HFvZecKfn5wbHlBbjnkjNVP/ivVq7dinsuPhPjK6Q9P3hGqRv3LqmTffKlNYfVgrsWz8QkiVdka4vzsfKSOsM7SfRnt5rx48UzMbVa2hXZqiInfrKkTvbJl9asFjNWLJoh+epkZWEeVi6pQ4nBnSSUkpu06dWe5+ZKP+njWCaGfx6EfD4f7r//fsyaNQsOhyNtd2K9givnM1Ila8FgEH6/H1dccQWKivS9PROK8Pho/zF8sO/ogNOdjCpx4aJpIzG9pjijZ8L9hSM8Pj5wHB/sPYpTAwzwWlvswj9MrcGZI0uzqtwRnscnB07g/b1H0eI7/fmIak8+/mFKDc46oyzryr310Els2tuIps7Ty11V5MTCKTWYNbo8o1ce+uN5hm2HT+K9PY0DDqhbWZiHBZNrMGdMheE9iFPhGcPf6pvw7u5GHO/oPu3/5QW5WDC5BvPGVmZVuRlj2P5NM97d04ijbaefsJa6cnHh5GrMH1+ZkQ4SyTDG8MW3LXh3dwMaWk8vd4krB9+ZVI1zx48wfMiXVBhj+KrhFN7Z3YBvBxgI2ON04DuTqnHexCpDhiBpb2/Hhg0b4HA4NOk4l24sN0Df9ry3txc333wzvF4vXK7UJ62UsEkUn7Dl5uamDLIRyVq6z0p3Zc3IhE3AGEOztxcnO3sQDEeQa7ei2pOf8TPgdBhjaPb1oqmjB4FwBLk2K6o8ThQaPEyAXIwxnPL14URnDwKhMHJsFlQV5Wf8zD0dxhhau/pwoqMH/lAYDpsFVUVOeJzZf+be2tWH4+3dsXKPKHSiWObt3kxo6+7DsfZu+INhOKwWVBbmoTg/J6sS+oG0d/txrL0LfcEw7FYLKgvy/j48T3aXu6PHj2Nt3egNhmC3mFFR6ETpICh3Z28AR9u60BsIwWYxo6IgD2UGD8GkdcIGpE7a9G7P5SRsmb0XMogJl1Pb2trQ2toaC7KRyRqA2Gf4fL7Y35m8DZoKx3EoL8hDeUFmOhQoxXEcyt15GesIoZQwnpKe4yHpgeM4lLhyNRnPz2jF+TmDIkHrz+PMGRQJcX9FTkfWn4AMpDDPkfUnfAMpyLVn/Qm2EtnSnqdDCZsK/YNst9vh9/sND2580hYMBhEIBLIuWSOEEEKyVba056lQa66SEGTGGPx+PxwOR0aCm5+fD4fDAb/fD8YYJWuEEEKIDNnSnidDLboG4sdRCQQCus3RmYpwZW2gMhFCCCEkvWxoz5OhhE2l+HvcFRUVuk0wm0r8M2sVFRW6TRhPCCGEDFXZ0J6nQgmbCv0fSNRrgtlUBupgoMeE8YQQQshQlQ3teTqUsCmUrPeIkUFO1RuUkjZCCCEkvWxoz6WghE2BdF19jQiylKE7KGkjhBBCksuG9lwqGtZDpt7eXgQCgbRdfZON66IFOeOsDTRO21DT2ePHJwdOYM+xNjR1Rge3zbNHB4mdUVuCOWMrMj790kC8vQFsOXgCu4+24mRsUN7oILHTa0sxd2wFcmzZV25fXxBbDp7AnqOtONHRDX8o8vdBeZ2YXlOCuWMrMj5t1EC6/dFy725sxfG4co8odGJaTTHmjatEXhaWuycQwqcHT2DX38vdFwzDYTVjRKETU2uKcc64SjgdmZ02aiC9gRA+PXQSuxpP4Vi7WO7KQiemVEfLnenprgbSFwxj66ET+KohWu7eYPjvg9vmYerfy+3OwrHI/KEwth06iZ0Np3CsvQs9gb+XuyAPk6s8mD9hxJAcQ00NqeOs6dmeh8NhycvSTAcS+Xw+PPjgg6iqqkJRUZHkxEfKtBdyKB0Ut/+OmYmZDrTGM4a/7mrA2zuPIBThky6X77Di6nkTcObIUgNLlxzPGDbtacSfv/gmZbmdDiuunDMOs84oN7B0yTHG8MG+o/jTjm8QCEeSLpdrs+DKOeMwe0yFgaVLjjGGj74+jje2H4Y/lLzcOTYLvnf2WMwbW5EVI84zxrDl4Am89rfD6Asmr9QdVjMuPWsMzpswIivKDQDbDp3Ehs8OojdFue0WM5bWjcZ3JlVlTbn/Vt+EV7YdRE8glHQZq9mE7555BhZMqcmaKdK++LYFL3/6Nbr8qct9yYxRuGhabdaUW4n29na8+uqryMnJUdWeKhkUV4/2vLm5GatWrZI00wHdEpXBYrEgLy9P1lUqLS+nqpnBYKjdHo3wPNZu3oM3d9SnTHoAoMsfwm/e342/7mowqHTJ8TzDbz/ah9f+djhtubv9IazdvBdv7zxiUOmS4xnD+i1fY8Nnh1ImawDQGwzjxY/24c3t9QaVLjnGGF7ZdhAvbz2QMlkDoldWfvfJfrz2t8PI9HksYwx//Pww1m/5OmWyBgD+UAQvbz2AV7YdzHi5AeDN7fX4n4/3pUzWACAQjmDDZwexfsvX4LOg3G99+Q3Wfrg3ZbIGROdGfu1vh/Hbj/ZlRbn/uqsBv3l/d8pkDYiW+80d9Vi7eQ8ifOq6J9sFg0FV+7rSGQz0aM/NZrP0z1f8acNQOBxGbq786XK0CLIW003FJ22DfZy2N7bXY8eRFlnrvL79ML440qxTiaT5y5ff4LP6Jlnr/PmLb/DZ4ZM6lUiad776FlsOnpC1zsZd8tfR2qY9jfhw/zFZ67ynYB2tfbj/GDbtbZS/zh5562jtkwPHsXHXt7LW2XLwBN7J8MnUZ4dP4i9fyjsx+qy+CW99+Y1OJZJmx5FmvL79sMx1WvDmjsyfTKnBGENHRwd4BYmn2ummtG7P011VS/hs2Z80jMm519yfmiBrOTeokLR1d3er+j6ZdLStS3HD9PutB9JesdDLyY5u2Y2Z4NU0t2n01OLtld2YCf7w2UF09WXmId227j68+YWyBvX17YfR2RtIv6AOOnsDshthwZtffIO27j6NSySNry+IP35+SNG6b335DVp8vRqXSJqeQAivbDuoaN2NXzXgZEe3xiWSpi8YxstbDyha973djTjaNnjvtNhsNoTDYbS1tclK2rSaGzRT7TklbAZSEmQ9JnLPz8+H0+lEKJSZBECtd3c3QOnF8G5/CFsPZeZq1bt7GqH0Kn5vMIwtBzJztWrT3kbFt378oQg++jozV6s+2HsU4TS3nZMJhnls3ndU4xJJs3nfUQTDysodjvD4YG9mtvdHXx9Le9s5mQjPMnZ18JMDxxWfxPGM4b0MlXvroRPoTnMbNBmGaD06WJlMJhQWFiIUCklO2rSeyD0T7TklbAaTE2Q9kjVBXl4erNbs6xGXToTnsauxVdV77GyQdytVCzxj+KrhlKr3+PJb48vNGMNOleVWu75SX347PMv9ZQb2bwDYqcH2zsQzeFqUOxPPsqndT3Y1tg7qZ9msViuKi4slJW1aJ2sCo9tzStgyQEqQ9UzWBBZL9g0ZkU6Lry/tQ+/pZOJWQHu3P+1D2Okca+8yvGHw9gXhU3lL83hHt+ENQ08ghPYev6r3aPb2IqDwipFSgVBE9a3B9m6/4bfPwxEeJzrV3Rr0abCvycUzhmPt6uqD3mAY7d3q9jW5GGOq67FAOIJTvszcPteKzWZLm7TplawJjGzPKWHLkFRBNiJZG6x6FN4CiOcPRTKSQKgV5hmCKpNVubQoN2Mw/LlBLfYTAOgNGpv4aJVoGZ2w9QXDim/3x+s2uNzBcARhXn3Bjd7eEZ6pPnEFjC+3HlIlbXonawKj2nPKBDJooCBTspaa3Sq9C3QyFhNn+DhENov6cnOIjqVkJLsG5Qa0+f5yaLGfAIO33FrFTSqttpPR5baaTdCiJjC63GYTB7NJfcmN3r/1MlDSZlSyJjCiPadsIMPig3zq1CmcOnWKkrUUSlw5qpOtMnee4QN1FufnwKKygi1158Js8D5RmGeHzaLuM4ucDsMbhvwcm+pZIlw5NuQaPNNErs2CfIe6Z0tzbBbDZxCwW80oynOoew+LGYV5xo7EbzaZUOKSP1RTPIuJgyc/R6MSScNxHMrdearew8RxKFX53bNJfNJ28uRJQ5M1gd7tOWUEWcBkMiWMxeJyuShZS8JhtWBMeYGq95hS7dGmMDJYzSaMr1Q3o8TkKuPLbTaZMLFS3edmotwmjsPkEerLbXRiz3EcplQXq3qPTJQbACarPK4mjigy/IQEUL9/jq8sMvzKN6C+3GPKCzS7opstbDYb7HYx6c/LU5fUKqFne05ZQRYIBoNoa2uD1WqF1WpFW1tbRieYzXbfmVileF2zicO540doWBrpLlBRbhPH4bwJytdX44JJyj+XA3C+iu+thppyA+ripYba7fWdSdUalUSe8ydWqbq9qDZeSp0/sQpq8ttM7SfnThih6m5DpvYTPXV1dcHv98PhcIDjONnjtGlBz/acErYMi7/HXVxcjOLiYk2mvRjKpteWYOIIZVerLppaa/jtC8HkKg+mKrx6cuHkapS5M3P7YkJlkeJ5WM+fVIURhU6NSyTN6LICnD1a2Tys88dVoqZY+gjkWqotduGccZWK1p09uhxnlLo1LpE0IwqdipPNM0eWYnxFZuY0LnPnYsHkGkXrTqspzsgVZCD6mMVF02oVrTtxRBGm16i7kptt4p9Z83g8kof80JLe7TklbBk00AOJWs5VNlRxHIcbz5ssO4GZWl2MJTNH6VSq9DiOw/XnTUJFgbzL9JNGFGFZ3WidSiXNtfMnoqpIXuI1rqIQl88aq1OJpPn+vPGolZl4jS5144o543QqkTRXzhmH0TITr5HFLlw9b7xOJZLm8lljME7mIwvVnnxcO3+iPgWSaFndaNkngZWFeVh+7qSMTlz/jzNHyT4JLHPn4sbzJme03FobqIOBlCE/tGREe04JW4ak6j1iVNKWDRNFK5WfY8PKS+owQeJzYedPrMKtF07NyDMy8fLsVqxcUif5rHz+uErcvnA6LBl4RiZejs2Cey4+E9MknpXPGVOBO/5hekae7YnnsFpw98UzJV8hnHVGGe5cNDPjvedsFjPuXDQTZ51RJmn5M0eW4q6LZ8JhzezYilaLGXdcNANzxlRIWn56TTHuufhM1R1E1LKYTfjhwumYL/HK5pQqD+69pA559swOPm42mXDrhVNx3gRpj3lMrCzCykvqkG9wpxQ9peoNalTSZlR7zrHB3GobyOfz4f7778esWbMUTQAfT2pXX57n0dbWhlAohOLiYths2h1kgUAAPp8P1157LYqKMnMrQguMMXz5bQs+2HcM9c2dCVNWWcwmTKny4B+m1mbsNlEyjDF81diKD/Y24lBzZ8IYVhYTh8lVHiycUqu6g4XWGGPYc7QNm/Y24lBTZ8JAvmYTh0kjPFg4pQbjKgozWMrTMcaw73g7Nu1txIETHQnlNnEcJo4owoLJNYpvtetp/9/Lvf94+2nlHl9ZiAWTazJ2Wy6Vgyc78N6eRuw73oYIn1juseUFWDC5BlOqM9NBIpXDTZ14d08D9h1rSxijjeOAsWUF+M7kGkyvKc66cn/T4sW7uxuw51hbwpRsHKIdDC6YWIWZI0uzrtxytbe3Y8OGDXA4HLF2LF1vUD2Hy1Lbnvf29uLmm2+G1+tNOxF81iZst99+O55//nk8+eSTuPvuu1Mu++tf/xpPPPEEmpqaMH36dDzzzDM4++yzY//3+/1YuXIlXn75ZQQCASxatAjPPvssysqknb0C2iVscnccPZI2nufR0tICk8mE6667blAnbPH6gmE0e3sQCEeQZ7OizJ0L6yAYZyha7l74Q2Hk2a0oHyTl9oei5e4LRstd5s7N+JUpKQKhCJq8PegLhpFrs6C8IG9QlDsYjqCpswe9wTBybBaUu/MGRS+/YDiCZm8vegIh5NgsKHPnZvxKoBTx5XZYLSgvGBzlDoUjaPL2ojcYgt1iRpk7L+NXMLUkJGyRSAS9vb2Sh+7QI2nToj2Xk7BlZRRff/11bNu2DZWV6S9Pv/LKK7j33nuxZs0azJ49G0899RQWLVqEAwcOoLQ0ehvknnvuwVtvvYUNGzbA7XZjxYoVuPzyy7Flyxa9v0oCJTuMcDm1ra0Nra2tqpM2YYcJh8NwOjPzMLhecmwWjCzJritpUkTLnZkH3NVwWC2ynw/LBnareVCW22YxZ6wjhBo2ixnVHuPGwtLKYC23dZCWW45wOIyenh4UFBRIHmdNuD3a2tqKtrY21UmbVu25HFn3DNvx48dx5513Yv369ZImJ//Vr36FW265BTfeeCMmTZqENWvWIDc3F2vXrgUAeL1evPDCC/jVr36FCy+8EHV1dVi3bh0+/fRTbNu2Len7Cpda439sNpvie+Bqsnut7oHHZ/eFhYU01hshhJBBJxQKwel0yh4UV6tn2rRsz8Nh6dP2ZVWLzfM8rrvuOtx3332YPHly2uWDwSB27NiBhQsXxl4zmUxYuHAhtm7dCgDYsWMHQqFQwjITJkxATU1NbJmBPProo3C73bGf6upqmEwm+Hw+2UHW4lKs2qSt/6VYKckwIYQQkm2sVqviQXHVJm1at+der1f6erI/SUePPfYYLBYLfvzjH0tavrW1FZFI5LRn0crKytDU1AQAaGpqgs1mQ0FBQdJlBvLAAw/A6/XGfo4ePYpAIIBIJCIryJpO/KowadOz8wIhhBBiJItF3dNcSpM2Pdpzs1n6c6gZS9jWr18Pp9MZ+/nwww/xH//xH3jxxRezoheL3W6Hy+VK+GGMwe12Sw6yHg85yk3aKFkjhBBCEslN2vRqz9N1NEhYXvUnKrR06VLs3Lkz9vPpp5+ipaUFNTU1sFgssFgsaGhowMqVKzFy5MgB36O4uBhmsxnNzc0Jrzc3N6O8PDrCeXl5OYLBIDo7O5MuI4fFYpEUZD27EUtN2ihZI4QQQgYmNWnTuz2XvKxmnypTfn4+xowZE/u59dZbsWvXroQkrrKyEvfddx/eeeedAd/DZrOhrq4OmzZtir3G8zw2bdqEuXPnAgDq6upgtVoTljlw4AAaGxtjy8iVLsh6BleQLmmjZI0QQghJLRvac6myZlgPj8cDjydx8Eer1Yry8nKMHy9Ot7JgwQJcdtllWLFiBQDg3nvvxfXXX4+zzjoLZ599Np566in09PTgxhtvBAC43W7cdNNNuPfee1FUVASXy4U777wTc+fOxZw5cxSXN1kXYSODm2zID0rWCCGEEGmyoT2XImsSNqnq6+vR2toa+/uqq67CqVOn8PDDD6OpqQkzZszAxo0bEzoiPPnkkzCZTPje976XMHCuWv2D7HK50NbWZmhw+ydtHo8HPp+PkjVCCCFEomxoz9PJ2pkOsk2qmQ6CwSBOnToFIHpVsLi42PDg8jyP1tZWhEIhAEBJSUnKZC0YDMLv9+OKK64YMjMdEEIIGdrip6bS44KE0e25nJkOMp8yEkIIIYSQlChhU0m4xy1cTg2Hw6pGUFYifrop4TaomhkRCCGEkOEmG9rzVChhU6H/A4l2u12TaS/k6N/BwG63azKNFSGEEDJcZEN7ng4lbAol6z2i1VxlUiTrDarV3KOEEELIUJcN7bkUlLApkK6rrxFBTjd0ByVthBBCSGrZ0J5LRQmbTOFwWNK4LHoGWeo4a5S0EUIIIQOTOs6a3u25VJSwycBxHLxer+RxWfQIstxBcSlpI4QQQhLJHRRXr/bc5/NJXp4SNhnsdjvMZrOsQfS0DLLSGQwoaSOEEDJUhMNhVesrncFAj/Y8EolIXocSNhl4nofL5ZI9iJ4WQVY73VT/pE0YYJcQQggZTEKhEHp6ehStq3a6Ka3bc7fbLXk9SthkCAaDikc8VhNkreYGjU/aOjo6Mt7jhRBCCJHLarWiu7sbXV1dstbTam5QLdtzi0X6DKGUsBlISZC1nshdSNosFgvdGiWEEDLoWCwWOJ1O+Hw+yUmb1hO5Z6I9p4TNYHKCrHWyJjCZTCgsLATHcZq8HyGEEGKkvLw8uFwuSUmb1smawOj2nBK2DJASZL2SNQHHcbpMnEsIIYQYIT8/P23SpleyJjCyPaeELUNSBVnvZE1AV9gIIYQMZqmSNr2TNYFR7TklbBk0UJCNStYIIYSQoWCgpM2oZE1gRHsuvXsC0YUQ5NbWVrS2tgKIjjFDyRohhBAiTX5+PgDA5/MhGAwiEAgYlqwJ9G7P6QpbFrDZbPB4PAiFQgiFQvB4PJSsEUIIITLk5+fD4XDA7/eDMWZosibQsz2nhC0L9J+ewufz0RhphBBCiAzClTWB0sF11dCzPaeELcPi73GXlJSgpKRElwlmCSGEkKEq/pm1iooKyUN+aEnv9pwStgwa6IFEPSaYJYQQQoaqgToYSBnyQ0tGtOfU6UAGk8mEcDisyQwBjDF0dHQgHA6jsLAQABLe1+12o6OjAy0tLboMchsKhRAOh+H1ejV9X0IIIUQvXq8X4XA4Nh92KBRCR0cHLBYLXC5XwsTwdrsdubm56OzsRDgcRl5eni5lUtOey5nInhI2GQoKCtDW1qb6IUbGGMLhMBhjsFgssd4k/fE8j76+PnR3d8NisWiatPE8j0gkgtdffx12uz3pfGaMMQSDQTDGYLPZNH+Ak+d5BIPB2EC+yb6jcIBarVZZc69JIfU7Si2rUlK+I8VDflmVonhEUTxEFA9RpuIRDofR2dkZ+z7hcBgcx8FisaCpqSnpOq2trWhvb9clHmraczlX3Shhk0HYwGp2Op7nEQqFYjuw2WxOuqzJZALHcQgGgwiFQppWQKFQCDzPw2q1wul0plzW4XCgo6MD3d3dKCwshNVq1awMPp8PFotF0lXEnp4edHd3w+l0anam1P/MKN13s1qt6OjoQCQS0fTKZ09PD3p6eiR9N4qHiOKRWGaKB8Uj3lCMRygUgslkAmMMoVAIHMfBarWmbBttNhuCwSAikUjsby1o0Z5TwqYjjuMUJ01CcAGkvKoVr3+Q7Xa76qQtEAiA53mYzWa4XC5JO29paSna2trg9Xo1GVMmGAzC6/XCbrdL7npts9lgsVhilaYw7o5SwjMHPM+jtLRU0ney2WywWq1obW2Fz+fTpNt4V1cXent7UVBQIPk7UTzEMlA8oigeIoqHWIahGA8hWTOZTJLbRIfDgUAgELsyaLfbVZVBq/ZcThJNnQ5kUHtlLRAIxDJxOZdlLRYLbDYbGGOxZEspYYc1m82yymAymeDxeGIHv5rn+NSMQK3Vg6RqRqDW8kHSrq4u+Hw+uFwuWRU6xUNE8RBRPKIoHqKhFg/h+WuO42RfwBASq3A4nDD8h1xatueMMcnrUsImA8dxsh4QFKgJrkCLpE1I1oT3kkuLg06L6ULUVoJaTBeiRSWotPITUDxEFA8RxSOK4iEaSvHo6OhQlKwJ1CZtWrfnwlU6KShhk4ExFguWVFoEV6AmaYtP1tRcClZz0Gk5t5vSSlDLud3UVIJqKz8BxUNE8RBRPKIoHqKhEg+LxQKz2azqeTylSZse7bkclLDJwPN8bGgPKUHWMrgCJUmbVsmaQMlBp8dEvHIrQa0n4gWUVYJaVX4CioeI4iGieERRPERDIR4FBQWaxENu0qZXey7r0STVnzjMCBs4XZD1CG58GaQmbVonawI5B50elZ9AaiWoR+UnkFMJal35CSgeIoqHiOIRRfEQUTxEUpM2PdtzOd+HEjYF0gVZz+AKpCRteiVrAikHnZ4HmyBdJahn5SeQUgnqVfkJKB4iioeI4hFF8RBRPETZ0J5LRQmbQsmCbGRwUyVteidrglQHnREHmyBZJWhE5SdIVQnqXfkJKB4iioeI4hFF8RBRPETZ0J5LQQmbCv2DnIngDpS0GZWsCQY66Iw82AT9K0EjKz/BQJWgUZWfgOIhoniIKB5RFA8RxUOUDe15OhyTMwjIMObz+fDYY4/B6XSeNlKzkCABiE0DYnRwhTlOhXCmS9Z4ngfP86ioqNB01Oe2trbYWZLNZjPsYIsnVDhANB5GVX7xhApHiIdRlV88ioeI4iGieERRPESDKR7BYBAnT56EyWTSJVZGt+ehUAgPPvggvF4vXC5XymXpCpsG4hM4YU4zo/Wfa1Sr6VjkMJlMCTucy+UyvPIDkDBVit1uN7zyA6KVTXzCrNekw6lQPEQUDxHFI4riIaJ4iLKhPU+GEjaVhMumwpRVcsdp04pwCVeY+kLtjAhKBINBtLW1wWq1wmq1JpwtGUU4S+M4Dg6HA36/X9UI40p1dXXB7/fD4XCA4zjVI4wrQfEQUTyiKB4iioeI4hGVLe15MpSwqdD/HndOTo4m017IFf/MWk5OjmbTWMkR/8xBcXExiouLNZmGRI7+z4B4PB5NpoWRK/4ZEI/Ho9m0MHJQPEQUjyiKh4jiIaJ4RGVLe54KJWwKJXsgUau5yqQaqIOBlnOPSjHQA6Jazh0nRbIHdrWay0+qgR7Y1XIuPykoHiKKRxTFQ0TxEFE8orKlPU+HEjYF0vUeMSrIqXqDGpW0perNY9RBl653lVGVYKreVUZVghQPEcUjiuIhoniIKB5R2dKeS0EJm0xCApSuq6/eQZYydIfeSZuUrtd6H3RSu8LrXQlK6QqvdyVI8RBRPKIoHiKKh4jiESV16I5sSdooYZMpFApJHpdFryDLGWdNr6RNzjg5eh10csct0qsSlDNukV6VIMVDRPGIoniIKB6iwR6PUCikSRnkjrOmV3suDCEiBSVsMpjNZgCQNS6L1kFWMiiu1kmbkkENta4ElQ4yqXUlqGSQSa0rQYqHiOIRRfEQUTxEQyEeHR0dqsugdFBcPdpzOd+FEjaZhMnf5dAqyGpmMOiftCkdL1nNCNRaVYJqRwTXqhJUMyK4VpUgxUNE8YiieIgoHqKhEg+hLY1EIorKoHYGA63bc5r8XSfCOGdKqA2yFtNNqb3SpsV0IWorQa2mb1FbCWoxfYvaSpDiIaJ4RFE8RBQP0VCKR0FBATiOQzAYlHU7EdBublAt23M5ZaCETQa1s3gpDbKWc4PGJ22RSETyQafl3G5KK0Gt59pTWglqOdee0kqQ4iGieERRPEQUD9FQjIfZbJadtGk9N2gm2nNK2AwmN8h6TOQen7R1dnamPej0mIhXbiWo18TIcitBPSZGllsJUjxEFI8oioeI4iEayvGw2+2Skza9JnI3uj2nhC0DpAZZj2RNYDabY2VIddDpcbAJpFaCelV+AqmVoB6Vn0BqJUjxEFE8oigeIoqHaKjHg+M4SUmbXsmawMj2POsStv3792Pp0qVwu93Iy8vDrFmz0NjYmHKdDRs2YMKECXA4HJg6dSrefvvthP8zxvDwww+joqICOTk5WLhwIQ4dOqTn10grXZD1TNYEJpMJhYWFSQ86PQ+2+DKkqgT1rvwE6SpBPSs/QbpKkOIhonhEUTxEFA/RcIpHqqRN72RNYFR7nlUJW319PebPn48JEyZg8+bN2LVrFx566CE4HI6k63z66af4/ve/j5tuuglffvklLr30Ulx66aXYs2dPbJnHH38cTz/9NNasWYPPPvsMeXl5WLRoEfx+vxFfK6lkQTYiWRMIc7f1P+iMONgEySpBoyo/QbJK0IjKT5CsEqR4UDwoHhSPeBSPqGRJm1HJmsCI9pxjap+k19DVV18Nq9WKl156SfI6V111FXp6evCXv/wl9tqcOXMwY8YMrFmzBowxVFZWYuXKlfjJT34CAPB6vSgrK8OLL76Iq6++WtLn+Hw+PPbYY3A6nbBarfK+WBrxAQVgSLLG8zx4nkdFRQVsNlvCAeZyudDW1mbIwda/TEKF5/F44PP5DKv84sVXeAAMq/ziUTxEFI8oioeI4iEabvEIBoM4efJkbM5RQf8ETc4g91qS256HQiE8+OCD8Hq9sRgmkzVX2Hiex1tvvYVx48Zh0aJFKC0txezZs/HGG2+kXG/r1q1YuHBhwmuLFi3C1q1bAQBHjhxBU1NTwjJutxuzZ8+OLTOQQCAAn8+X8KOX+MzcqCtr/QlnSsKBZ7FYDK38gMRxdoQzV6MrPyDxzDUTlR9A8YhH8YiieIgoHiKKR5RwpQ0QB6Q1OlkD9G3PsyZha2lpQXd3N37xi19g8eLF+Otf/4rLLrsMl19+OT788MOk6zU1NaGsrCzhtbKyMjQ1NcX+L7yWbJmBPProo3C73bGf6upqpV+NEEIIIUSVjCVs69evh9PpjP0cOHAAALBs2TLcc889mDFjBn7605/iH//xH7FmzRrDy/fAAw/A6/XGfo4eParbZ/UfRC8TE8wKZ0bCmVK63qN6EG4xhMPh2JmqHhP+phN/i0HPCZhToXiIKB5RFA8RxUNE8YgSbokC0atcJpNJ0eC6aunZnmcsYVu6dCl27twZ+5kxYwYsFgsmTZqUsNzEiRNT9hItLy9Hc3NzwmvNzc0oLy+P/V94LdkyA7Hb7bEDQPjRQ/8HEvWaYDaV/g+I2u12XSb8TaX/A7t2u12XCZjT6f/Arl4TMKdC8RBRPKIoHiKKh4jiETVQBwM547RpRe/2PGMJW35+PsaMGRP7cbvdmDVrVuxKm+DgwYOora1N+j5z587Fpk2bEl579913MXfuXADAqFGjUF5enrCMz+fDZ599FlsmU5L1HjEyaQuFQgP25tF6wt9UkvWu0noC5nSS9a4yshJM1ruK4kHxoHhQPOJRPKKS9QaVO7iuWka051nzDBsA3HfffXjllVfwm9/8BocPH8Z//ud/4s9//jN+9KMfxZZZvnw5Hnjggdjfd911FzZu3Ih///d/x9dff41HHnkE27dvx4oVKwBEB9e7++678fOf/xx/+tOfsHv3bixfvhyVlZW49NJLjf6KMem6+hqRtPE8j46OjqS9eYw46NJ1hTeqEkzXFd6ISjBdV3iKh4jiEUXxEFE8RMMpHqmG7jAqaTOqPc+qhO2yyy7DmjVr8Pjjj2Pq1Kn47//+b/zxj3/E/PnzY8s0Njbi5MmTsb/nzZuH//3f/8V//dd/Yfr06fjDH/6AN954A1OmTIktc//99+POO+/ErbfeilmzZqG7uxsbN25MOb6bnqSOy6Jn0haJRGJlSNWbR8+DTuq4RXpXglLHLdKzEpQ6bhHFQ0TxiKJ4iCgeoqEeD8aYpHHW9E7ajGzPs2octmym1ThsSgbR03ogXWGHMZlMqKqqkpS4aj0QopJBJvUYmFLJIJNaD0ypZNtSPNStkwrFQ0TxiKJ4iDIdj2AwiOPHj8cSL6lDd+gxkK4W7fmgHIdtMOA4TtX6ShMvLa+0hcNhBINBcBwHs9ks+cDR8kxJaUWm9Zmr0opMyzNXpRUZxUNE8YiieIgoHqKhGI9IJCI78dL6Slsm2nNK2GQwmUyKdzS1V8m0SNrikzWh27McWhx0as86taoE1Z51alEJqj3rpHiIKB5RFA8RxUM0lOLR2dmp+CqZVkmblu25nDJQwiaT3A0MaHdLU03S1j9ZU3q1UM1Bp9UtArWVoFa3CNRUglrdIqB4iCgeURQPEcVDNFTiIbSlZrNZURnUJm1at+dytgElbDJEIhEAkBVkrZ8/U5K0qb2y1p+Sg07r5zmUVoJaP8+hpBLU+vkaioeI4hFF8RBRPERDIR6FhYWqy6A0adOjPZfzXShhk8lqtUoOstbBFchJ2rRO1gRyDjo9Hr4F5FeCWld+AjmVoNaVn4DiIaJ4RFE8RBQP0WCPh5pOf/HkJm16tedybutSwiZT/C3FVEHWK7gCKUmbXsmaQMpBp1flJ5BaCepV+QmkVIJ6VX4CioeI4hFF8RBRPEQUjyipSZve7blUlLApkC7IRgU3VdKmd7ImSHXQ6X2wCdJVgnpXfoJUlaDelZ+A4iGieERRPEQUDxHFIypb2nMpKGFTKFmQjQ7uQEmbUcmaYKCDzqiDTZCsEjSq8hMMVAkaVfkJKB4iikcUxUNE8RBRPKKypT1PR/3IccOYEORAIIBgMIhQKASe5w0PrvBZ4XAYPM+DMWZYsiYQDrrW1la0trbGymPEwSYQKsG2tja0trbCbrfD7/cbVvkJhM/y+XwIBoMIBAKGVX4CioeI4hFF8RBRPEQUj6hsac9ToStsKglBZoyB5/nY30YTkjMhYTMyWRPYbDZ4PB6EQiGEQiF4PB7DDjaBUAkyxuD3++FwOAyt/AT5+flwOBzw+/1gjBla+QkoHiKKRxTFQ0TxEFE8orKlPU+GEjYNhEKh2O+MMd0mmE0lHA4jfpax+DIZhed5+Hy+2N8+n0+XCX/T6enpif0unC0ZTThTHahMRqF4iCgeIopHFMVDRPEQZUN7ngwlbCrF3+POycnRbYLZVOKfWcvJydFtwvhU4p85KCkpQUlJiS4T/qYT/wxIRUWFbhMwpxL/DEhFRYVuEzCnQvEQUTxEFI8oioeI4iHKhvY8FUrYVOj/QKLWc5VJMVAHAy3nHpVioAdEtZw7Tqr+D+xqPZefFAM9sKvlXH5SUDxEFA8RxSOK4iGieIiyoT1PhxI2hZL1HjEyyKl6gxqVtKXqzWPkQZesd5WRlWCq3lVGVYIUDxHFQ0TxiKJ4iCgeomxoz6WghE2BdF19jQiylKE79E7apHS9NuKgS9cV3ohKUEpXeL0rQYqHiOIhonhEUTxEFA9RNrTnUtGwHhIJD/SHQiEwxmAymWAymVI+3G82mxEKhRAIBBCJRDTrdcPzfGynsVgsiEQisXlO+xPKKQz5IUyDIXwfYWdVUgafz4dIJAK3241wOJzyfZxOJ7xeL5qamuByuTTbFr29vejp6UFeXh7MZjN6e3uTLpuTk4NQKITm5ma43W5ZU4KkEg6H4fV6YTabkZOTA7/fn3RZs9kMu92O9vZ2BAIB5ObmalIGioeI4iGieERRPESDPR55eXmx0RCStXtSCe1iJttz4XvHdxpMhmNSliI4duwYqqurM10MQgghhAwxR48eRVVVVcplKGGTiOd5nDhxAvn5+eA4LtPFUc3n86G6uhpHjx6Fy+XKdHGyDm2f1Gj7JEfbJjXaPqnR9kltqG0fxhi6urpQWVmZ9qod3RKVyGQypc1+ByOXyzUkdnq90PZJjbZPcrRtUqPtkxptn9SG0vZxu92SlqNOB4QQQgghWY4SNkIIIYSQLEcJ2zBlt9uxevXqrJonLZvQ9kmNtk9ytG1So+2TGm2f1Ibz9qFOB4QQQgghWY6usBFCCCGEZDlK2AghhBBCshwlbIQQQgghWY4SNkIIIYSQLEcJ2xDCcdyAP0888UTSdR555JHTlp8wYULCMn6/H3fccQc8Hg+cTie+973vobm5We+vo7kbbrjhtO+6ePHitOv9+te/xsiRI+FwODB79mx8/vnnCf8f7NsnFAph1apVmDp1KvLy8lBZWYnly5fjxIkTKdcbTvtOun2gvw0bNmDChAlwOByYOnUq3n777YT/M8bw8MMPo6KiAjk5OVi4cCEOHTqk51fQxaOPPopZs2YhPz8fpaWluPTSS3HgwIGU67z44oun7TcOhyNhmaGyfaQcI/0Nl30HAEaOHDlgm3XHHXcMuPxw2ncGxMiQcfLkyYSftWvXMo7jWH19fdJ1Vq9ezSZPnpyw3qlTpxKWuf3221l1dTXbtGkT2759O5szZw6bN2+e3l9Hc9dffz1bvHhxwndtb29Puc7LL7/MbDYbW7t2Ldu7dy+75ZZbWEFBAWtubo4tM9i3T2dnJ1u4cCF75ZVX2Ndff822bt3Kzj77bFZXV5dyveGy70jZB+Jt2bKFmc1m9vjjj7N9+/axf/7nf2ZWq5Xt3r07tswvfvEL5na72RtvvMG++uortnTpUjZq1CjW19dn1NfSxKJFi9i6devYnj172M6dO9kll1zCampqWHd3d9J11q1bx1wuV8J+09TUlLDMUNk+Uo6ReMNp32GMsZaWloRt8+677zIA7IMPPhhw+eG07wyEErYhbNmyZezCCy9Muczq1avZ9OnTk/6/s7OTWa1WtmHDhthr+/fvZwDY1q1btSqqIa6//nq2bNkyWeucffbZ7I477oj9HYlEWGVlJXv00UcZY0Nr+8T7/PPPGQDW0NCQdJnhsu+k2wf6u/LKK9mSJUsSXps9eza77bbbGGOM8TzPysvL2RNPPBH7f2dnJ7Pb7ez3v/+9Dt/AOC0tLQwA+/DDD5Mus27dOuZ2u5P+fyhtn3THSH/Ded9hjLG77rqLjR49mvE8P+D/h9O+MxC6JTpENTc346233sJNN92UdtlDhw6hsrISZ5xxBq655ho0NjbG/rdjxw6EQiEsXLgw9tqECRNQU1ODrVu36lJ2PW3evBmlpaUYP348fvjDH6KtrS3pssFgEDt27Ej47iaTCQsXLox996G2fQRerxccx6GgoCDlckN935GyD/S3devWhOUBYNGiRbHljxw5gqampoRl3G43Zs+ePWi2SzJerxcAUFRUlHK57u5u1NbWorq6GsuWLcPevXtj/xtq2yfVMdLfcN53gsEgfve73+EHP/gBOI5Lutxw2nf6o4RtiPqf//kf5Ofn4/LLL0+53OzZs/Hiiy9i48aNeO6553DkyBGce+656OrqAgA0NTXBZrOd1nCXlZWhqalJr+LrYvHixfjtb3+LTZs24bHHHsOHH36Iiy++GJFIZMDlW1tbEYlEUFZWlvB6/HcfSttH4Pf7sWrVKnz/+99PObnycNh3pOwD/TU1NaXdZ4TXpL7nYMDzPO6++26cc845mDJlStLlxo8fj7Vr1+LNN9/E7373O/A8j3nz5uHYsWMAhtb2SXeM9Ddc9x0AeOONN9DZ2Ykbbrgh6TLDad8ZiCXTBSDKrF+/Hrfddlvs7//7v//DueeeG/t77dq1uOaaa057ILO/iy++OPb7tGnTMHv2bNTW1uLVV1+VdHUuWw20fa6++urY31OnTsW0adMwevRobN68GQsWLMhEMTMi1b4TCoVw5ZVXgjGG5557LuX7DNV9hyhzxx13YM+ePfjkk09SLjd37lzMnTs39ve8efMwceJEPP/88/jZz36mdzENRceIdC+88AIuvvhiVFZWJl1mOO07A6GEbZBaunQpZs+eHft7xIgRsd8//vhjHDhwAK+88ors9y0oKMC4ceNw+PBhAEB5eTmCwSA6OzsTrpQ0NzejvLxc+RfQWartIzjjjDNQXFyMw4cPD5iwFRcXw2w2n9arMf67D8btk2zbCMlaQ0MD3n///ZRX1wYyVPadeFL2gf7Ky8vT7jPCaxUVFQnLzJgxQ8PSG2fFihX4y1/+go8++ghVVVWy1rVarZg5c2bCfgMMre0j6H+M9Dcc9x0AaGhowHvvvYfXXntN1nrDad8B6JbooJWfn48xY8bEfnJycmL/e+GFF1BXV4fp06fLft/u7m7U19fHdva6ujpYrVZs2rQptsyBAwfQ2NiYcKaTbVJtH8GxY8fQ1taWcGDHs9lsqKurS/juPM9j06ZNse8+GLfPQNtGSNYOHTqE9957Dx6PR/b7DpV9J56UfaC/uXPnJiwPAO+++25s+VGjRqG8vDxhGZ/Ph88++2zQbBcBYwwrVqzA66+/jvfffx+jRo2S/R6RSAS7d++O7TdDafv01/8Y6W847Tvx1q1bh9LSUixZskTWesNp3wFAw3oMNV6vl+Xm5rLnnntuwP9feOGF7Jlnnon9vXLlSrZ582Z25MgRtmXLFrZw4UJWXFzMWlpaYsvcfvvtrKamhr3//vts+/btbO7cuWzu3Lm6fxctdXV1sZ/85Cds69at7MiRI+y9995jZ555Jhs7dizz+/2x5fpvn5dffpnZ7Xb24osvsn379rFbb72VFRQUJHQlH+zbJxgMsqVLl7Kqqiq2c+fOhC7zgUAgttxw3XfS7QPXXXcd++lPfxpbfsuWLcxisbBf/vKXbP/+/Wz16tUDDs1QUFDA3nzzTbZr1y62bNmyQTn0wA9/+EPmdrvZ5s2bE/ab3t7e2DL9t8+//Mu/sHfeeYfV19ezHTt2sKuvvpo5HA62d+/e2DJDZfukO0aG874jiEQirKamhq1ateq0/w3nfWcglLANMc8//zzLyclhnZ2dA/6/traWrV69Ovb3VVddxSoqKpjNZmMjRoxgV111FTt8+HDCOn19fexHP/oRKywsZLm5ueyyyy5jJ0+e1PNraK63t5dddNFFrKSkhFmtVlZbW8tuueWW08bw6b99GGPsmWeeYTU1Ncxms7Gzzz6bbdu2LeH/g337HDlyhAEY8Cd+PKThuu8wlnofOP/889n111+fsPyrr77Kxo0bx2w2G5s8eTJ76623Ev7P8zx76KGHWFlZGbPb7WzBggXswIEDRnwVTSXbb9atWxdbpv/2ufvuu2PbsqysjF1yySXsiy++SHjfobJ90h0jw3nfEbzzzjsMwIDfYTjvOwPhGGMsI5f2CCGEEEKIJPQMGyGEEEJIlqOEjRBCCCEky1HCRgghhBCS5ShhI4QQQgjJcpSwEUIIIYRkOUrYCCGEEEKyHCVshBBCCCFZjhI2QgghhJAsRwkbIYQo8MILL+Ciiy7S/XM2btyIGTNmgOd53T+LEJK9KGEjhBCZ/H4/HnroIaxevVr3z1q8eDGsVivWr1+v+2cRQrIXJWyEECLTH/7wB7hcLpxzzjmGfN4NN9yAp59+2pDPIoRkJ0rYCCHD1qlTp1BeXo5/+7d/i7326aefwmazYdOmTUnXe/nll/Hd73434bULLrgAd999d8Jrl156KW644YbY3yNHjsTPf/5zLF++HE6nE7W1tfjTn/6EU6dOYdmyZXA6nZg2bRq2b9+e8D7f/e53sX37dtTX1yv/soSQQY0SNkLIsFVSUoK1a9fikUcewfbt29HV1YXrrrsOK1aswIIFC5Ku98knn+Css85S9JlPPvkkzjnnHHz55ZdYsmQJrrvuOixfvhzXXnstvvjiC4wePRrLly8HYyy2Tk1NDcrKyvDxxx8r+kxCyOBHCRshZFi75JJLcMstt+Caa67B7bffjry8PDz66KNJl+/s7ITX60VlZaXiz7vtttswduxYPPzww/D5fJg1axauuOIKjBs3DqtWrcL+/fvR3NycsF5lZSUaGhoUfSYhZPCjhI0QMuz98pe/RDgcxoYNG7B+/XrY7faky/b19QEAHA6Hos+aNm1a7PeysjIAwNSpU097raWlJWG9nJwc9Pb2KvpMQsjgRwkbIWTYq6+vx4kTJ8DzPL799tuUy3o8HnAch46OjrTvG4lETnvNarXGfuc4Lulr/YfxaG9vR0lJSdrPJIQMTZSwEUKGtWAwiGuvvRZXXXUVfvazn+Hmm28+7epWPJvNhkmTJmHfvn2n/a//bcxvvvlGkzL6/X7U19dj5syZmrwfIWTwoYSNEDKs/dM//RO8Xi+efvpprFq1CuPGjcMPfvCDlOssWrQIn3zyyWmvv/nmm3jttddQX1+Pf/3Xf8W+ffvQ0NCA48ePqyrjtm3bYLfbMXfuXFXvQwgZvChhI4QMW5s3b8ZTTz2Fl156CS6XCyaTCS+99BI+/vhjPPfcc0nXu+mmm/D222/D6/UmvL5kyRI8/vjjmDRpEj766CM8++yz+Pzzz/HSSy+pKufvf/97XHPNNcjNzVX1PoSQwYtj8X3HCSGESHLFFVfgzDPPxAMPPAAgOg7bjBkz8NRTT2n6Oa2trRg/fjy2b9+OUaNGafrehJDBg66wEUKIAk888QScTqfun/Ptt9/i2WefpWSNkGGOrrARQogG9LrCRgghACVshBBCCCFZj26JEkIIIYRkOUrYCCGEEEKyHCVshBBCCCFZjhI2QgghhJAsRwkbIYQQQkiWo4SNEEIIISTLUcJGCCGEEJLlKGEjhBBCCMly/z/99llLcKpDJAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = hex_l_cavity(0, 0, 0, 0.3, 0.2, 0.8, 0.9, 8, 10, 2, 1, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[15, 10, 3], grid_spec=td.GridSpec.auto(wavelength=1.55), structures=[s], run_time=1\n",
    ")\n",
    "\n",
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc80254d",
   "metadata": {},
   "source": [
    "## H Cavity "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d341d02",
   "metadata": {},
   "source": [
    "The function `hex_h_cavity` returns a hexagon-shaped hexagonal array of cylinders with a hexagon-shaped cavity in the middle. Tunable cylinder radius, spacing, height, length in cylinders, and cavity size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "508bfaec",
   "metadata": {},
   "outputs": [],
   "source": [
    "def hex_h_cavity(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    R,\n",
    "    n_side,\n",
    "    h_number,\n",
    "    spacing,\n",
    "    height,\n",
    "    medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # R: radius of the cylinders (um)\n",
    "    # n_side: maximum number of cylinders on hexagon side\n",
    "    # h_number: maximum side number of hexagons that are removed\n",
    "    # spacing: spacing between centers of cylinders\n",
    "    # height: height of cylinders\n",
    "    # medium: medium of the cylinders\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle slant of cylinders\n",
    "    # axis\n",
    "\n",
    "    cylinders = []\n",
    "    for i in range(h_number + 1, n_side + 1):  # hexagon side length\n",
    "        center_x, center_y = x0 + (i - 1) * spacing, y0\n",
    "        for j in range(0, 6 - 5 * (i == 1)):  # iterate through hexagon sides\n",
    "            for k in range(0, i - 1 + (i == 1)):  # iterate along each hexagon side\n",
    "                center_x += spacing * np.cos(np.pi * 2 / 3 + j * np.pi / 3) * (i > 1)\n",
    "                center_y += spacing * np.sin(np.pi * 2 / 3 + j * np.pi / 3) * (i > 1)\n",
    "                c = td.Cylinder(\n",
    "                    axis=axis,\n",
    "                    sidewall_angle=sidewall_angle,\n",
    "                    reference_plane=reference_plane,\n",
    "                    radius=R,\n",
    "                    center=(center_x, center_y, z0),\n",
    "                    length=height,\n",
    "                )\n",
    "                cylinders.append(c)\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=cylinders), medium=medium)\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e3a54fad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = hex_h_cavity(0, 0, 0, 0.3, 6, 2, 0.8, 1, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 3],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=[s],\n",
    "    run_time=2,\n",
    ")\n",
    "\n",
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9cd13c05",
   "metadata": {},
   "source": [
    "## Wood Pile"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1638edcd",
   "metadata": {},
   "source": [
    "The function `wood_pile` returns the popular 'wood pile' structure with tunable width of the blocks comprising the pile, width and height of the entire pile, number of blocks in each row, and number of rows of blocks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5a5d84e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def wood_pile(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    block_width,\n",
    "    side_width,\n",
    "    pile_height,\n",
    "    n_rows,\n",
    "    n_floors,\n",
    "    medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # block_width: width of the blocks being stacked (um)\n",
    "    # side_width: width of the wood pile (um)\n",
    "    # pile_height: height of the wood pile (um)\n",
    "    # n_rows: number of blocks on each floor\n",
    "    # n_floors: number of stackings in the wood pile\n",
    "    # medium: medium of the blocks\n",
    "    # reference_plane\n",
    "    # axis\n",
    "\n",
    "    boxes = []\n",
    "    spacing = 0.5 * side_width / n_rows\n",
    "    for i in range(0, n_floors):\n",
    "        for j in range(0, n_rows):\n",
    "            b = td.Box(\n",
    "                center=(\n",
    "                    x0 + (0.5 - n_rows + 2 * j + (i % 4 == 2)) * spacing * ((i + 1) % 2),\n",
    "                    y0 + (0.5 - n_rows + 2 * j + (i % 4 == 3)) * spacing * (i % 2),\n",
    "                    z0 + pile_height * (-0.5 + 1 / n_floors / 2 + i / n_floors),\n",
    "                ),\n",
    "                size=(\n",
    "                    block_width * ((i + 1) % 2) + side_width * (i % 2),\n",
    "                    block_width * (i % 2) + side_width * ((i + 1) % 2),\n",
    "                    pile_height / n_floors,\n",
    "                ),\n",
    "            )\n",
    "            boxes.append(b)\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=boxes), medium=medium)\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "e7b56892",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"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\" ></div>\n",
       "    <script>\n",
       "        \n",
       "        /**\n",
       "        * Simulation Viewer Injector\n",
       "        *\n",
       "        * Monitors the document for elements being added in the form:\n",
       "        *\n",
       "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
       "        *\n",
       "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
       "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
       "        * configuration of the first started script (e.g. viewer URL) applying.\n",
       "        *\n",
       "        */\n",
       "        (function() {\n",
       "            const TARGET_CLASS = \"simulation-viewer\";\n",
       "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
       "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
       "\n",
       "            class SimulationViewerInjector {\n",
       "                constructor() {\n",
       "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
       "                        this.injectViewer(node);\n",
       "                    }\n",
       "\n",
       "                    // Monitor for newly added nodes to the DOM\n",
       "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
       "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
       "                }\n",
       "\n",
       "                onMutations(mutations) {\n",
       "                    for (var mutation of mutations) {\n",
       "                        if (mutation.type === 'childList') {\n",
       "                            /**\n",
       "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
       "                            * It may be the case that setting content with innerHTML does not trigger.\n",
       "                            *\n",
       "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
       "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
       "                            */\n",
       "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
       "                            for (var node of viewers) {\n",
       "                                this.injectViewer(node);\n",
       "                            }\n",
       "                        }\n",
       "                    }\n",
       "                }\n",
       "\n",
       "                injectViewer(node) {\n",
       "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
       "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
       "                        // Mark node as injected, to prevent re-runs\n",
       "                        node.classList.add(ACTIVE_CLASS);\n",
       "\n",
       "                        var uuid;\n",
       "                        if (window.crypto && window.crypto.randomUUID) {\n",
       "                            uuid = window.crypto.randomUUID();\n",
       "                        } else {\n",
       "                            uuid = \"\" + Math.random();\n",
       "                        }\n",
       "\n",
       "                        var frame = document.createElement(\"iframe\");\n",
       "                        frame.width = node.dataset.width || 800;\n",
       "                        frame.height = node.dataset.height || 800;\n",
       "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
       "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
       "\n",
       "                        var postMessageToViewer;\n",
       "                        postMessageToViewer = event => {\n",
       "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
       "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
       "\n",
       "                                // Run once only\n",
       "                                window.removeEventListener('message', postMessageToViewer);\n",
       "                            }\n",
       "                        };\n",
       "                        window.addEventListener(\n",
       "                            'message',\n",
       "                            postMessageToViewer,\n",
       "                            false\n",
       "                        );\n",
       "\n",
       "                        node.appendChild(frame);\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "\n",
       "            if (!window.simulationViewerInjector) {\n",
       "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
       "            }\n",
       "        })();\n",
       "    \n",
       "    </script>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = wood_pile(0, 0, 0, 0.2, 1.2, 1.4, 4, 4, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[3, 3, 3],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=[s],\n",
    "    run_time=1,\n",
    ")\n",
    "\n",
    "sim.plot_3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30efea9a",
   "metadata": {},
   "source": [
    "## FCC Sphere Array "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74676c8b",
   "metadata": {},
   "source": [
    "The function `fcc_pc` returns an FCC PC crystal of spheres, with tunable sphere radius, spacing, and number of spheres in each dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8051ce38",
   "metadata": {},
   "outputs": [],
   "source": [
    "def fcc_pc(x0, y0, z0, spacing, R, n_x, n_y, n_z, medium):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # spacing: spacing between the centers of the spheres (um)\n",
    "    # R: radius of the spheres\n",
    "    # n_x: number of spheres in x direction\n",
    "    # n_y: number of spheres in y direction\n",
    "    # n_z: number of spheres in z direction\n",
    "    # medium: medium of the spheres\n",
    "\n",
    "    spheres = []\n",
    "    center_x, center_y, center_z = (\n",
    "        x0 - (n_x - 1) * spacing,\n",
    "        y0 - (n_y - 1) * spacing,\n",
    "        z0 - (n_z - 1) * spacing,\n",
    "    )\n",
    "    for i in range(0, n_x):\n",
    "        for j in range(0, n_y):\n",
    "            for k in range(0, n_z):\n",
    "                for l in range(0, 4):  # single crystal unit\n",
    "                    s = td.Sphere(\n",
    "                        center=(\n",
    "                            center_x + (2 * i + (l % 3 == 0) * (-1) ** (l < 1)) * spacing,\n",
    "                            center_y + (2 * j + 0.5 * (-1) ** (l % 2)) * spacing,\n",
    "                            center_z + (2 * k + 0.5 * (-1) ** (l > 1)) * spacing,\n",
    "                        ),\n",
    "                        radius=R,\n",
    "                    )\n",
    "                    spheres.append(s)\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=spheres), medium=medium)\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "f3aa3819",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = fcc_pc(0, 0, 0, 0.5, 0.2, 4, 6, 5, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 10],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=[s],\n",
    "    run_time=1,\n",
    ")\n",
    "\n",
    "fig, ax = plt.subplots(1, 2)\n",
    "sim.plot(x=0, ax=ax[0])\n",
    "sim.plot(y=0.25, ax=ax[1])\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c073c4a8",
   "metadata": {},
   "source": [
    "## BCC Sphere Array "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "edd8cffc",
   "metadata": {},
   "source": [
    "The function `bcc_pc` returns a BCC PC crystal of spheres, with tunable sphere radius, spacing, and number of spheres in each dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ede1fbf5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def bcc_pc(x0, y0, z0, spacing, R, n_x, n_y, n_z, medium):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # spacing: spacing between the centers of the spheres (um)\n",
    "    # R: radius of the spheres\n",
    "    # n_x: number of spheres in x direction\n",
    "    # n_y: number of spheres in y direction\n",
    "    # n_z: number of spheres in z direction\n",
    "    # medium: medium of the spheres\n",
    "\n",
    "    spheres = []\n",
    "    center_x, center_y, center_z = (\n",
    "        x0 - (n_x - 1) * spacing,\n",
    "        y0 - (n_y - 1) * spacing,\n",
    "        z0 - (n_z - 1) * spacing,\n",
    "    )\n",
    "    for i in range(0, n_x):\n",
    "        for j in range(0, n_y):\n",
    "            for k in range(0, 2 * n_z - 1):\n",
    "                s = td.Sphere(\n",
    "                    center=(\n",
    "                        center_x + spacing * (2 * i + 0.5 * (-1) ** ((k + 1) % 2)),\n",
    "                        center_y + spacing * (2 * j + 0.5 * (-1) ** (k % 2)),\n",
    "                        center_z + k * spacing,\n",
    "                    ),\n",
    "                    radius=R,\n",
    "                )\n",
    "                spheres.append(s)\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=spheres), medium=medium)\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "1cd3c8c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = bcc_pc(0, 0, 0, 0.5, 0.2, 4, 6, 5, td.Medium(permittivity=3.48**2))\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[10, 10, 10],\n",
    "    grid_spec=td.GridSpec.auto(wavelength=1.55),\n",
    "    structures=[s],\n",
    "    run_time=1,\n",
    ")\n",
    "\n",
    "fig, ax = plt.subplots(1, 2)\n",
    "sim.plot(x=0.25, ax=ax[0])\n",
    "sim.plot(y=0.25, ax=ax[1])\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fb5dc2d4-7c87-4154-8adc-38073e9ef27a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "description": "This notebook contains predefined functions used to construct commonly used photonic crystal structures such as hexagonal and square lattices.",
  "feature_image": "",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "photonic crystal, periodic structures, cavities, tidy3d, fdtd",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.8"
  },
  "title": "Defining Common Photonic Crystal Structures | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
