{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9c123af5-4c14-41c6-aa87-7377ec1e241b",
   "metadata": {},
   "source": [
    "# Waveguide plugin demonstration"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0eccebd-d6a9-446c-a37a-8dfff5656d28",
   "metadata": {},
   "source": [
    "This notebook demosntrates the use of the waveguide plugin to quickly set-up waveguide simulations from usual geometries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c8eaa80b-ae21-416d-97b6-b8c587a6de20",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins import waveguide\n",
    "\n",
    "import numpy as np\n",
    "from matplotlib import pyplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e8e7870b-d0f5-4e75-961a-0b036c1dc5c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Media used in the examples\n",
    "si = td.material_library[\"cSi\"][\"Li1993_293K\"]\n",
    "sio2 = td.material_library[\"SiO2\"][\"Horiba\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2d2e0ab-5a26-42a4-a722-ed0d262f26cc",
   "metadata": {},
   "source": [
    "## Strip and Rib Geometries\n",
    "\n",
    "The class `RectangularDielectric` allows the creation of a variety of dielectric waveguide geometries common in integrated photonics.\n",
    "\n",
    "First we take a look at a strip silicon waveguide and plot the fundamental quasi-TE and quasi-TM modes, along with their effective indices:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "16d9b93d-475b-4da6-a0cf-5cc98708b727",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "strip = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    mode_spec=td.ModeSpec(num_modes=2, precision=\"double\", group_index_step=True),\n",
    ")\n",
    "\n",
    "# Take a look at the waveguide cross-section\n",
    "_ = strip.plot_structures(x=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9fc77952-8863-4a37-b1ee-16dadb536a26",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "strip.plot_field(\"Ex\", mode_index=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "230da69f-9c5a-4ada-ab9a-5c9ba87270bc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective indices: [[2.53287852 1.89256577]]\n",
      "Effective mode areas (µm²): [[0.18517123 0.30873644]]\n",
      "Group index: [[4.17741743 4.18908857]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Mode data\n",
    "print(f\"Effective indices: {strip.n_eff.values}\")\n",
    "print(f\"Effective mode areas (µm²): {strip.mode_area.values}\")\n",
    "print(f\"Group index: {strip.n_group.values}\")\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "# quasi-TE mode\n",
    "strip.plot_field(\"Ey\", mode_index=0, ax=ax[0])\n",
    "\n",
    "# quasi-TM mode\n",
    "strip.plot_field(\"Ez\", mode_index=1, ax=ax[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77d90ca8-4719-4158-9a56-fbd3c3f67a8f",
   "metadata": {},
   "source": [
    "It is possible to define waveguides with different substrate and cladding, angled sidewalls, and rib geometry:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "864b5643-91d4-4e62-80cb-69abd228f303",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "undercut = strip = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.22,\n",
    "    sidewall_angle=-np.pi / 12,\n",
    "    core_medium=si,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    box_medium=sio2,\n",
    ")\n",
    "\n",
    "undercut.plot_structures(x=0, ax=ax[0])\n",
    "_ = ax[0].set_title(\"Uncladded undercut channel\")\n",
    "\n",
    "rib = strip = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.4,\n",
    "    core_thickness=0.22,\n",
    "    slab_thickness=0.07,\n",
    "    sidewall_angle=np.pi / 6,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    ")\n",
    "\n",
    "rib.plot_structures(x=0, ax=ax[1])\n",
    "_ = ax[1].set_title(\"Rib waveguide\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "224c9234-8637-42bf-9b62-6278f201ffd7",
   "metadata": {},
   "source": [
    "## FDTD Simulation\n",
    "\n",
    "The waveguide structures can be used in Tidy3D simulations as conventinal structures.  The origin, lenght, and orientation of the waveguides can be selected at creation to fit the most common simulation configurations.\n",
    "\n",
    "In the following example, we simulate the effect of directly coupling strip and rib geometries without any tapering and compare the result with the modal overlap calclulation between the two modes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5f4e0a9f-d934-40ac-99b3-9abacfe56680",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "length = 6.0\n",
    "\n",
    "strip, rib = [\n",
    "    waveguide.RectangularDielectric(\n",
    "        wavelength=np.linspace(1.5, 1.6, 11),\n",
    "        core_width=0.45,\n",
    "        core_thickness=0.22,\n",
    "        core_medium=si,\n",
    "        clad_medium=sio2,\n",
    "        slab_thickness=0.07 if slab else 0,\n",
    "        length=length,\n",
    "        origin=(0.5 * length if slab else -0.5 * length, 0, 0),\n",
    "        sidewall_angle=np.pi / 12,\n",
    "    ) for slab in (False, True)\n",
    "]\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "strip.plot_structures(x=-0.5 * length, ax=ax[0])\n",
    "rib.plot_structures(x=0.5 * length, ax=ax[1])\n",
    "\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3a36fce9-15b7-438d-b1a8-933d9a5b35f6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the mode overlap between waveguides\n",
    "overlap = strip.mode_solver.data.outer_dot(rib.mode_solver.data, False)\n",
    "\n",
    "# Show the overlap at the central frequency\n",
    "f = strip.mode_solver.freqs[strip.wavelength.size // 2]\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 1, figsize=(3, 3), tight_layout=True)\n",
    "\n",
    "ax.matshow(overlap.sel(f=f).abs.values, cmap=\"gray\")\n",
    "ax.grid(False)\n",
    "\n",
    "for mi0 in overlap.coords[\"mode_index_0\"]:\n",
    "    for mi1 in overlap.coords[\"mode_index_1\"]:\n",
    "        ovl_dB = 20 * np.log10(overlap.sel(f=f, mode_index_0=mi0, mode_index_1=mi1).abs.item())\n",
    "        ax.text(mi0, mi1, f\"{ovl_dB:.2g} dB\", ha=\"center\", va=\"center\", color=\"tab:red\")\n",
    "\n",
    "ax.set_ylabel(\"Rib mode index\")\n",
    "ax.set_xlabel(\"Strip mode index\")\n",
    "ax.xaxis.set_label_position('top') "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f926cffa-5650-4ad6-82f9-ff5ff615227f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1100x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "freqs = strip.mode_solver.freqs\n",
    "source_time = td.GaussianPulse(freq0=0.5 * (freqs[0] + freqs[-1]), fwidth=abs(freqs[0] - freqs[-1]))\n",
    "\n",
    "src_gap = 0.5\n",
    "mode_src = td.ModeSource(\n",
    "    center=(-0.5 * length - src_gap, 0, 0),\n",
    "    size=(0, td.inf, td.inf),\n",
    "    source_time=source_time,\n",
    "    num_freqs=5,\n",
    "    direction=\"+\",\n",
    "    mode_spec=strip.mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "strip_mnt = strip.mode_solver.to_monitor(freqs=freqs, name=\"strip\")\n",
    "\n",
    "rib_mnt = rib.mode_solver.to_monitor(freqs=freqs, name=\"rib\")\n",
    "\n",
    "field_mnt = td.FieldMonitor(\n",
    "    center=(0, 0, 0.5 * strip.core_thickness),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=freqs,\n",
    "    name=\"field\",\n",
    ")\n",
    "\n",
    "sim_size = (length + 2 * src_gap, strip.width, strip.height)\n",
    "sim_center = (0, 0, strip.mode_solver.plane.center[2])\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=sim_size,\n",
    "    center=sim_center,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20),\n",
    "    structures=strip.structures + rib.structures,\n",
    "    sources=[mode_src],\n",
    "    monitors=[strip_mnt, rib_mnt, field_mnt],\n",
    "    run_time=1e-12,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    ")\n",
    "\n",
    "fig, ax = pyplot.subplots(2, 2, figsize=(11, 10), tight_layout=True)\n",
    "sim.plot(z=0.5 * strip.core_thickness, ax=ax[0, 0])\n",
    "sim.plot(z=0.5 * rib.slab_thickness, ax=ax[0, 1])\n",
    "sim.plot(x=-0.5 * length, ax=ax[1, 0])\n",
    "sim.plot(x=0.5 * length, ax=ax[1, 1])\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2b40f393-5fd9-478c-83e5-f214ffb45fcc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:32:58] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'untapered'</span> with task_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1'</span>.       <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:32:58]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'untapered'\u001b[0m with task_id \u001b[32m'fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1'\u001b[0m.       \u001b]8;id=179740;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=424665;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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    {
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>View task using web UI at                                                                  <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#141\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">141</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">dv1'</span></a>.                                                                                      <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                                                  \u001b]8;id=722741;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=239250;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#141\u001b\\\u001b[2m141\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=366408;https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=599236;https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=366408;https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=99761;https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=366408;https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\u001b\\\u001b[32m-28ced38d-a679-4142-bb90-9aded21b7c8\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=366408;https://tidy3d.simulation.cloud/workbench?taskId=fdve-28ced38d-a679-4142-bb90-9aded21b7c8dv1\u001b\\\u001b[32mdv1'\u001b[0m\u001b]8;;\u001b\\.                                                                                      \u001b[2m             \u001b[0m\n"
      ]
     },
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    },
    {
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       "model_id": "2f79b87e49264dc0b4204464b66ea932",
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       "Output()"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:33:01] </span>status = queued                                                                            <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#271\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">271</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:33:01]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=350450;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=418921;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#271\u001b\\\u001b[2m271\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:33:03] </span>status = preprocess                                                                        <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#265\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">265</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:33:03]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=837765;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=565957;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#265\u001b\\\u001b[2m265\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    },
    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
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     },
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    {
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:33:14] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.054</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit  <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#288\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">288</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>cost after a simulation run.                                                               <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:33:14]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.054\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit  \u001b]8;id=460208;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=171988;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#288\u001b\\\u001b[2m288\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mcost after a simulation run.                                                               \u001b[2m             \u001b[0m\n"
      ]
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    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>starting up solver                                                                         <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#292\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">292</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=463581;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=916149;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#292\u001b\\\u001b[2m292\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>running solver                                                                             <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#302\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">302</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=787288;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=178955;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#302\u001b\\\u001b[2m302\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
      ],
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       "\u001b[2;36m[16:33:31]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=112894;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=508379;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#316\u001b\\\u001b[2m316\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=538957;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=2164;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#333\u001b\\\u001b[2m333\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[2;36m[16:34:01]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=612585;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=265262;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#340\u001b\\\u001b[2m340\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:34:19] </span>loading SimulationData from simulation_data.hdf5                                           <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
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       "\u001b[2;36m[16:34:19]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from simulation_data.hdf5                                           \u001b]8;id=934796;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=615043;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
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    "# Run the simulation and download the resulting data\n",
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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = data.plot_field(\"field\", \"Hz\", val=\"abs\", f=f)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "220e4461-2d68-415d-adb1-5f76ec01e8c3",
   "metadata": {},
   "source": [
    "Looking at the power transmisison, we see almost the same result as obtained from the overlap calculation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "309dc8ba-e8c3-449e-b229-3eeda935517a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rib_transmission = data[\"rib\"].amps.sel(direction=\"+\", mode_index=0)\n",
    "fig, ax = pyplot.subplots(1, 1)\n",
    "ax.plot(rib.wavelength, 20 * np.log10(rib_transmission.abs.values), '.-')\n",
    "ax.set(\n",
    "    xlabel=\"Wavelength (μm)\",\n",
    "    ylabel=\"Transmission (dB)\",\n",
    "    ylim=(-0.1, 0),\n",
    ")\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f9a48cb-0372-4dee-9ae4-c873bc51f325",
   "metadata": {},
   "source": [
    "We can look at the first quasi-TM mode as well:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4202640d-45a1-4630-990b-cc9431389631",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:34:20] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'untapered_tm'</span> with task_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1'</span>.    <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:34:20]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'untapered_tm'\u001b[0m with task_id \u001b[32m'fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1'\u001b[0m.    \u001b]8;id=406562;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=520916;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>View task using web UI at                                                                  <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#141\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">141</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4v1'</span></a>.                                                                                      <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                                                  \u001b]8;id=354609;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=297280;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#141\u001b\\\u001b[2m141\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=204692;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=931471;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=204692;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=35388;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=204692;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\u001b\\\u001b[32m-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=204692;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc1467cf-b55d-413d-aa5e-7ab1e7d24bb4v1\u001b\\\u001b[32m4v1'\u001b[0m\u001b]8;;\u001b\\.                                                                                      \u001b[2m             \u001b[0m\n"
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
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    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
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       "\n"
      ]
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    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:34:23] </span>status = queued                                                                            <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#271\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">271</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[16:34:23]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=61677;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=862101;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#271\u001b\\\u001b[2m271\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:34:25] </span>status = preprocess                                                                        <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#265\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">265</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[16:34:25]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=690739;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=830360;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#265\u001b\\\u001b[2m265\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:34:35] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.054</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit  <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#288\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">288</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>cost after a simulation run.                                                               <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m[16:34:35]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.054\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit  \u001b]8;id=298711;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=538108;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#288\u001b\\\u001b[2m288\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mcost after a simulation run.                                                               \u001b[2m             \u001b[0m\n"
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       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=670004;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=877104;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#292\u001b\\\u001b[2m292\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=25094;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=16100;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#302\u001b\\\u001b[2m302\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:34:52] </span>early shutoff detected, exiting.                                                           <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#316\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">316</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[16:34:52]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=851326;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=253704;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#316\u001b\\\u001b[2m316\u001b[0m\u001b]8;;\u001b\\\n"
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    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>status = postprocess                                                                       <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#333\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">333</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=825597;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=236385;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#333\u001b\\\u001b[2m333\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:35:16] </span>status = success                                                                           <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#340\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">340</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[16:35:16]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=886609;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=153547;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#340\u001b\\\u001b[2m340\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[2;36m[16:35:22]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from simulation_data.hdf5                                           \u001b]8;id=149686;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=529063;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8ck+b73vf+/ikSZOiDwLn/J133gnMO/vss/nAgQP5jh07nHknnngi32OPPWLbU/GXv/yFd3V18Q996EOe6wDW633s5+abb/bYMX78+MA2tm/fzgHwiy66KLFdd9xxh+e4R1HP/hNEUubMmcO/NeeD3Hzo27l+FnziCP6lL32psTvTBCjcSRCwPEx33XUXPvKRj+DQQw8NfM8Y80zPnTsXuq470w888AB6e3tx3nnnefKw5s6diyFDhuCee+4BAHR1dQEA7rvvPrzzzjtKW4RH6e6774aZorZQkvXuuOMO7Lvvvpg4cSLefPNN5/PBD34QAPDQQw8BAO666y6YpolLLrkkkFfmPxZJePrpp/H666/ji1/8Ijo7O535J554IiZOnOgcH5kvfOELnukPfOAD+Otf/xq7rQEDBjh/v/XWW3jzzTfxgQ98AO+88w5eeuml1Lb72b59Oz7+8Y9jl112wS9/+UvPdbB8+fJEnxkzZjjrvPvuu45XTUYcp3fffbdumwmCaE0o3EkQAN544w1s27YNBxxwQKLlx40b55n++9//DgDYZ599PPPb29sxfvx45/tx48ZhwYIFuOaaa3DbbbfhAx/4AD760Y/iM5/5jCPgTj31VPz0pz/F5z73OVx00UU49thjcdJJJ+Hf//3fIxPxk6z3l7/8BS+++CKGDRumbOP1118HAKxfvx6apmG//fZLdDziCDs+ADBx4kQ8+uijnnmdnZ0BG3fZZRf861//it3WCy+8gIsvvhgPPvggtm3b5vlOzvvLyty5c7F+/Xo8/vjj2HXXXT3f+UOiSRgwYIAyH3DHjh3O9wTR0lAx28yQSCOIDNTz4Lz66qsxZ84c3H333bj//vvxpS99CYsWLcITTzyBMWPGYMCAAXjkkUfw0EMP4Z577sG9996L22+/HR/84Adx//33ezw3fpvi1jNNEwceeCCuueYaZRtjx47NvF95EraPcWzduhVHH300hgwZgssvvxwTJkxAZ2cnnnnmGXzta19L5ZlUcf311+OXv/wlfvGLX+CQQw4JfL958+ZE7XR1dTnX0KhRo/DQQw+Bc+7xUm7atAkAqFQG0fqI3p15t9kPoHAnQQAYNmwYhgwZgueffz7T+nvssQcAq2aVTG9vL15++WXne8GBBx6Iiy++GI888gh+//vfY+PGjViyZInzvaZpOPbYY3HNNdfgT3/6E77zne/gwQcfdMKRYcStN2HCBPzzn//Esccei+nTpwc+wtM1YcIEmKaJP/3pT5HbSxr6DDs+Yp7/+GRl5cqV+Mc//oGlS5fiy1/+Mj784Q9j+vTp2GWXXQLLpg3b/v73v8dXvvIVnHfeefj0pz+tXGbUqFGJPrfffruzziGHHIJ33nkHL774oqetJ5980vmeIIj+CYk0goAlbmbNmoXf/va3ePrppwPf8xjX+vTp09He3o4f/OAHnmV/9rOfobu7GyeeeCIAYNu2bajVap51DzzwQGia5oS8/vnPfwbaFw9qVVhMkGS9T3ziE9i4cSP+4z/+I7Dsu+++6/RUnTVrFjRNw+WXXx7wPsn7t9NOOwVKjKg49NBDMXz4cCxZssSzD//7v/+LF1980Tk+9SI8cLKNvb29uPHGGwPL7rTTTonDn5s2bcInPvEJHHnkkU4PURVZctI+9rGPoa2tzWMj5xxLlizBe97zHhx++OEeO1566SVUq9VEdhNEKaARBzJD4U6CsPnud7+L+++/H0cffbRTnmLTpk2444478Oijj3pKRPgZNmwYFi5ciMsuuwwzZ87ERz/6UaxduxY33ngjJk+ejM985jMAgAcffBDz58/HKaecgve+972o1Wq49dZboes6Tj75ZADA5ZdfjkceeQQnnngi9thjD7z++uu48cYbMWbMmMhSDEnW++xnP4tf//rX+MIXvoCHHnoIRxxxBAzDwEsvvYRf//rXuO+++3DooYdir732wje+8Q1cccUV+MAHPoCTTjoJHR0deOqppzB69GgsWrQIgFVIdfHixfj2t7+NvfbaC8OHD3c6Ici0tbXhyiuvxBlnnIGjjz4ap512mlOCY88998T555+f9bR5OPzww7HLLrtg9uzZ+NKXvgTGGG699ValyJ40aRJuv/12LFiwAJMnT8agQYPwkY98RNnul770Jbzxxhu48MILA6MAHHTQQTjooIMAZMtJGzNmDM477zxcddVVqFarmDx5Mu666y78/ve/x2233eYJ/S5cuBC33HILXn75ZU9dt29/+9sArHw8ALj11ludPL+LL77YWe7ZZ5/Fb37zGwDAunXr0N3d7ax78MEHh+4/QdQF5wWEO/uHSKMSHAQh8fe//52ffvrpfNiwYbyjo4OPHz+ez5s3j/f09HDO3RIcqjIdnFslNyZOnMjb2tr4iBEj+DnnnMP/9a9/Od//9a9/5WeeeSafMGEC7+zs5EOHDuXHHHMMf+CBB5xlVqxYwT/2sY/x0aNH8/b2dj569Gh+2mmn8T//+c+Rtiddr7e3l1955ZV8//335x0dHXyXXXbhkyZN4pdddhnv7u72LHvTTTfx973vfc5yRx99NF++fLnz/ebNm/mJJ57IBw8ezAE45Tj8JTgEt99+u9Pe0KFD+ac//Wn+6quvepaZPXs232mnnQL7d+mll/Ikt6zHHnuMv//97+cDBgzgo0eP5hdeeCG/7777Ava8/fbb/FOf+hTfeeedOYDIchRHH310aDmNSy+9NNamOAzD4N/97nf5Hnvswdvb2/n+++/Pf/GLXwSWE+VJXn75Zc/8MNv8x0tcv6rP7Nmz694PgvAzZ84c/q3PHM3N/70k18+Ck97fL0pwMM77ixwlCIIgCKKRnHHGGdiz9ldc8ql8x/H9yk8fQG3MFFx//fW5tls2KCeNIAiCIAiihFBOGkEQBEEQxVFICY7+EQQkkUYQBEEQRHEU0nEg3+bKCoU7CYIgCIIgSgh50giCIAiCKA4aFioz5EkjCIIgCIIoIeRJi8E0Tbz22msYPHhw6mFkCIIgCKJscM7x1ltvYfTo0dC0BvhqqONAZkikxfDaa6+VZtBpgiAIgsiLV155BWPGjCl+Q9RxIDMk0mIYPHiw/ZcGgDxpBEEQRKvDAZjS840oKyTSYnBDnAwk0giCIIi+QsNSeKjjQGao4wBBEARBEEQJIU8aQRClgSXwVvMCk1GSbL8vUOQx7Mu0wvVRynPLUYDnq4T7WQAk0giCIAiCKA7qOJAZEmkEQZSOZnkDSumF6Me0gucqEQ3M/WJgdB33IUikEQRRGpr5cEkrCPr6g7BwgVTaupMtnKrNzHIm1BdSJy3f5spKy1yNixYtwuTJkzF48GAMHz4cs2bNwtq1a2PXu+OOOzBx4kR0dnbiwAMPxP/8z/80wFoiDSzDf2WklW3vixR9TbXCOc3y2wrsE2M5fnT3A62pHwY95NNa/3nRAFb+65JITsuItIcffhjz5s3DE088geXLl6NareK4447D9u3bQ9d5/PHHcdppp+Gss87CH//4R8yaNQuzZs3C888/30DLCUGym0zythpNuptlfDutQP4Pkfjt5WVjX6euY59GWAWoRxxl35e8/+srtMQ+iRIceX7K6DEsgJYJd957772e6aVLl2L48OFYvXo1jjrqKOU6119/PWbOnImvfvWrAIArrrgCy5cvx49+9CMsWbJEuU5PTw96enqc6W3btuW0BwRBEATRDymk40D/EGkt40nz093dDQAYOnRo6DKrVq3C9OnTPfNmzJiBVatWha6zaNEidHV1OR8aEio9jXpzbcSbY6vbn4SivQ15e9P6qkckCan3O7F3TCabNyzMzoZ6tZjWGh+CSEhLXi2maeK8887DEUccgQMOOCB0uc2bN2PEiBGeeSNGjMDmzZtD11m4cCG6u7udzyuvvJKb3UXQ7AdWs8MIeW+z2cezUTR6H5NsR16mP4SpklKXMEtEehEWZl/TRVer0Ff2Iymi40Cen/7hSGudcKfMvHnz8Pzzz+PRRx/Nve2Ojg50dHTk3m5W8vZCANl6pZX94SjsS7tvZd+vPOlP+9pXSHXOUveWzCYGCruO+qI4yYo4FjznoZSaBYU7M9NyIm3+/Pn43e9+h0ceeQRjxoyJXHbkyJHYsmWLZ96WLVswcuTIIk0kCIIgCIKom5Z5deGcY/78+bjzzjvx4IMPYty4cbHrTJ06FStWrPDMW758OaZOnVqUmblQdGgnbb5IK3lgWm2/irahTPvaENKWhOgrFOxFy/066g8hvjzoK8eFA9zkuX76Cy3jSZs3bx6WLVuGu+++G4MHD3byyrq6ujBgwAAAwOmnn473vOc9WLRoEQDgy1/+Mo4++mhcffXVOPHEE/GrX/0KTz/9NH7yk580bT9U9JsHKKEka6g2SZv9gnrElrxuicInic5fA8KbuYoyIht9LfRJpKJlfjmLFy9Gd3c3pk2bhlGjRjmf22+/3Vlmw4YN2LRpkzN9+OGHY9myZfjJT36Cgw8+GP/5n/+Ju+66K7KzQaPodx4OonD6zTVVlDesJJ61fAVa+g4BuVxH5CXLn5Y+jtx6Ccr70w9oGU8aT3BCVq5cGZh3yimn4JRTTinAonT0+QcnUTcM2cbc6xfXVqMEFGNNu/mn6r2ZiPQhzcy0tIBoIZjWmh41GhYqM/TLIgiCIAiCKCEt40kjiP5Akvy0Pu05K0PIscHetPzLbKQLbWaiKZ6zZmyzhF6rVsxRK6QER77NlRXypBFECWloj9T+2BsyjpT7m/W8JM4/SzVSQLLtZrK5sByz7ON+FktZ7CDqZdGiRZg8eTIGDx6M4cOHY9asWVi7dq1nmR07dmDevHnYddddMWjQIJx88smBMl6Nhq44guhP1Cu8ChJr6QRDkgd6Tg/XgoRpYpGU2HMWv3+ZhH6uHQDKJsCyUhLbWykPsJARB9K50h5++GHMmzcPTzzxBJYvX45qtYrjjjsO27dvd5Y5//zz8dvf/hZ33HEHHn74Ybz22ms46aSTcj4Y6aBwJ0EQBEEQxWEWEO4EYBgGtm3b5pkXNmrQvffe65leunQphg8fjtWrV+Ooo45Cd3c3fvazn2HZsmX44Ac/CAC4+eabse++++KJJ57A+9///tztT0ILSXGCaCB9pShqkeUqUrYX68Fx2isq7FWs5yPOS5XYk5XofCU7Hqm9Z7l5zlrdW5aGJu5nK3nTCuCpp55CV1eX5yPqpMbR3d0NABg6dCgAYPXq1ahWq5g+fbqzzMSJE7H77rtj1apV+RufEPKkEflQhFBpVPJ2Hrb722h2DZ9GlqwAMu9vUDw04qEjtpEw8TplR4L6Slnk0zEgdUizLvq3UAiS8vrqB3B7xIF82+SYPHkyli9f7pmfZOxt0zRx3nnn4YgjjnDqpm7evBnt7e3YeeedPcuOGDHCKZ7fDEikEfE0y1MUtd00oqAZ9tcpXjJvr+SUq2dqSR6mLSXMSJAlRz5WJNiKQNd1DBkyJPV68+bNw/PPP49HH320AKvyhUQaQRAEQRDFUaISHPPnz8fvfvc7PPLIIxgzZowzf+TIkejt7cXWrVs93rQtW7Zg5MiRdRqbHRJpZSFPT0gS702LeF5CaRX7ixobsmz7X29tMcYAaLl52tKN3JDAo1aUZzRRWY2YJtLkm6WmWM8Za2BOFW9qXTEN/dqbVsiIA+na45zj3HPPxZ133omVK1di3Lhxnu8nTZqEtrY2rFixAieffDIAYO3atdiwYQOmTp2am9lpIZHWKBr5UC3bA5ywqOdB3wrnNMv+FVjiQiaZaEvwIM2r0G2d4qw4YZafaGqkAEtClD2NEXAU/mwm8+bNw7Jly3D33Xdj8ODBTp5ZV1cXBgwYgK6uLpx11llYsGABhg4diiFDhuDcc8/F1KlTm9azEyCRRhCNp2mCK+lDs84HSCYhY3vRkj7YUz5Us46Lqm4sw/7lNN5mstpqacRRfUKqbEIsK6r9KFa45ehZa4XxPEsQ7ly8eDEAYNq0aZ75N998M+bMmQMAuPbaa6FpGk4++WT09PRgxowZuPHGG3MwNjsk0giiT1Jv+QSZDA+AuDBvbHmJOI+WYv9iHlRJhtxK/PCsa/9U24zYVK7CLNt10VfEWBr8+5y/aOvnIdAGwxO8WHV2duKGG27ADTfc0ACLkkEijSAIgiCIYsk7n7PZZY4aBIk0okBy8MgUTj0egrLsT9FejjpzaWK9ZpBCnZpnvpcU3rUIr0e8Ry2lhyNz+Dr8vOXnPUt/bTTPa6Yr5hkNtyIMcVzy9aj1kzw1Xv6IbFkhkUZEkPfNOq/2kvzaG1kUVaboO1Gzw055hmiC+xIdYkoh+kU7MWItWqjFbCM1OfTUzFmY5SfIVAKrme0WJ+6KC4NS+JMIQiKtYTTy4er/oTf7wZ43Zd6fMNvS3nxbZR+zPlQkDxrg86LpEA9Z+YEYfBgmsCNGrMV3KKj3wdkIYZbsWqlPkBUlwooizN78xVv0NZqWkhRYzpsSdBxoVUikEQRBEARRHCWok9aqlPl1PcAjjzyCj3zkIxg9ejQYY7jrrrsil1+5ciUYY4FPM8fhagz9ZWDjViJqwPB8B6NmKf+rj7T2hi9veSSEB0SXPu734pPajggvUvxxSHpukp/H2OMfO8h5gm1Ixyu5F00P+fQVit2/dMc6CrpvExYt5Unbvn07Dj74YJx55pk46aSTEq+3du1az/hew4cPL8I8gmgoeVXnD2snW9X+lNt1Hmh2+FOZ7yMeom6oKjzEFBECrTv0qdpGcuoLayYIm6YWB/mKr6I7HBRbt0w+FvWHRBnTcgp9ZqkHWD54ER0HyrijBdBSIu3444/H8ccfn3q94cOHB0a2D6Onpwc9PT3O9LZt21Jvr6/QrMGw8yg62mjbcyuUqqBZ5yFZXbH62vaig9lihNsPJ2+POvWDNLzXXchDLkKs5Vn0Np8emtGesuRkE2Rlqo+WxJZ8hJz/WGUTbfnkqlFngv5OeX6BBXLIIYdg1KhR+NCHPoTHHnssctlFixahq6vL+YwdOzYXG9KGoLL8l/f2m0XRx6KRNje6jSLIy5ZAO05nAS0QmmNwP4DqAR0UHanDoCEP/bzOX+g2I0OZ0eHSZOHL5OG8wHHPFCItD8XsR/2h0fpsSZBSEBkaLwGi40Cen37iSSvxWa2fUaNGYcmSJfiv//ov/Nd//RfGjh2LadOm4ZlnngldZ+HCheju7nY+r7zySgMtJgiCIIg+BoflEMzz009EWkuFO9Oyzz77YJ999nGmDz/8cKxfvx7XXnstbr31VuU6HR0d6OjoaJSJuVIGrwvhpbBzkudbc4pQjH9/okKDkfvOXA+ahQh1Cs+Z3T43waCBw1SEj4Lhz0yhzwSFbzNTZ/mMeI9ZQjNyvF5Yg97teY5hvnzH5qwvfy17Udw+Wp6DiKRPizQVU6ZMwaOPPtpsM1qTtDf6MpSYLioE0Kh9a0QIw7+NOkRbqu3IXzFvWFP0rrfGMneFmry89yHn1lZTfw/E5qgB+ZzXOjoAxIupeGGWVpA1SnSlJYld9Qi5fIrSBju1pNl+tm22oFjjAM+5BEc/qcDR/0TamjVrMGrUqMZvuCxioZF5C2XOkaiXpPsWd37KeIzqEG2J2gPgetGCJTY4Nz1izRl1Sbopy54190EXFGrO8s4yEb0/ZVuT7HMO1f/rEWVpxFhZhVi9hO1XFvFWn2jL1tmgvs4F1KmgP9BSIu3tt9/GunXrnOmXX34Za9aswdChQ7H77rtj4cKF2LhxI37+858DAK677jqMGzcO+++/P3bs2IGf/vSnePDBB3H//fc3axcIgiAIon8hctLybrMf0FIi7emnn8YxxxzjTC9YsAAAMHv2bCxduhSbNm3Chg0bnO97e3txwQUXYOPGjRg4cCAOOuggPPDAA542Wp4yemIIl9zOT1HnOaPHSPXWnyL/yh/eFPloDBr8EVQrrOH1nMnhT2/YSB1+ShX+TLQvUWQtm1Gf1yyrt6zMvTiz5o3l4WHLz7NWpFetRbxpHP1GVOVNS4m0adOmgUcEopcuXeqZvvDCC3HhhRcWbFVa0t4QG/UDLO+Nuvw0dhDufPFvL+G+pHqwB8WZRchoAhyK/DPXNickKtVUi8tRk9cLs62I8VWLEmVJBVmZBVgS8q6N5j9uWUVbNsGWPG8tXeeCFhFqRCZaSqS1Nllvlq19k+0fNO4c1fvQjb/pq9rPR7z4BZqohybW8dSREu9iTJVP5hVlcu/PoFATuL0/w49Bfcc2a35ZHoIs+3VRpvtLRq9ZHT03Vcc2iXDL5mVrpHct/4Hk64FznnvHgf7Sc4BEWhNoXOXsbNQjBFrV7jQUuY9F70O2B1qe4kV35jGpBIdcwNYT7uRwpr1iTR3+DH+ouZ61PHr1JTtP6T1lcYIs+fVRJvGVlKQ2pxdRgiTnOou3Lb2YSt/RIHvpDqKVIZFGEARBEERxUMeBzJBIaxCpaxe1aC5Jq9qdhubsY72DYYe/qdfjdUjSjoUesow3X40x3eM9swzxTlt2uXk4co5amlpqyexOSvpQZpTXLN6m9DaX+beZ7lqL2o/odrJc62k9a/WFQpN71Lxtu6kApaSAAdb7SbSTRFrjyPqQbVRuQb0iQKYom/O0sV7y3MdG7FfYNtKLt6zbk9tjvhy0wNiGipy04MMpmKMWPUC7yq605zF7MdkwURZ9nBvbQaBZqQ75pYCEtZNcWMVtp1jRlu76DFzfTAN4ufLRiPogkVZ6yiRMktKKNqel2H0swuuhfjhE7UfSm30yLxLzec08XjQ7H02DBtPnNQvv8RnMUfN3JvDbEjwG2c9jFi9ZVkGWqnBtkzxmRXdqiWo/zw4xab1t9Yi2eLvrfakoCRTuzAyJNIIgCIIgCoMXEO4kkUbkSt5vt5mLPJY4L4VITpbSAenzcdJ5meLCfN7vVeFOqyyHxuF40xiXenv6QqBe75i6x6ezjwiGTJ3vovKR6igim8VrFluOI21ua0l6eWYpa6FsJ8yblcnLlq7cTFIPWJrfZvr8NbVnjXp+9l1IpDWILDfLqBtbEWIrjY31DGzcCPJ8OBW9r3nZmnVA6ryvJZUd7jZ8OWj+aXs5zRZk3O5I4Ald2mU65Fy1sM4Efpuy7n+20hjZwpd52JOEPM57PfXIQtvMcN9LK7TrFW5FhUSzi7aSh0Ep3JkZEmklpixvwSrKbFveNHpf8xRN/pt83L6kFaTJvUheb1qgTpqdj8age3pyMmjg3FB6MTxeM49QA2SvmmedwgrWpveMZa2VlqTtRlFER4Ms12haT1o6kVVfPpty+wm9benrGmoovWAjUkEirUEUeUMNPIhLcPMm8iLruQwP78mkFXEqkniRZHEmtuMNd+rutFRyQ+Oa403zl+Xwj90Z7EwAJD0O6YjyFCabD2QNk6ZfrgykEUpx66YVcWkEWXJRFGZD9jazCjerLeFRM8HASulkyrtkRhn3sQhIpBEEQRAEURjUcSA7JNIaRt5vvcHyAo3dPtFI0nrE4s93nh6meM+S7EET08qcNCffzPCsy3lwsHRxk5bH7QyvpSYTFy6KRnXMsoQus3jf0m6jWST1ZinXTRkZSOppy+pha1ROW1bvmj//kuhbkEhrEPkn6WZrr+gQSb5V6omkpA8d5Xfck4gWfw9PNydNt62x8tHEiAPMGaHAhMbdDgR2Y15BJs0X+AWbmAd7a2n3J+776M4S6baRPCetPPUIAyK6jo5SaXt5JhVxUTapaupFtpUqBy5ZaDSrcPOOWatZYUXmDHgbamdDoY4DmSGR1iDKIkaKzo3L0n5Zjk29lD03MOv5iSNMkKm+9+ak6V7RxtxitgzugzVgt52f5u/dKRewVQm0PHK90oixpGLOu04y4VWma8s6ttkEo8djmqJ3chrvWhKPWZ7et+Q5cPFet0SC0Ve4mehbkEgjCIIgCKI4Chq7k8Uv1vKQSGsQueSN5HBFFpq/ksG+MubTZKUR3o268k8KuKMl8Sz589GsebrjORPLiB6fGge4mA/dCXmaEYOue+Z7JtPl3qXpcZne4xbtbUpqo1ai34yJ7N7ZtB44zo3EPTuTeNoSLZPD9tKFSJPlkgbac/IzdZRx/E7OyxN5bTVIpDWIPB7gIvTTjG0n2o4/V6Lk4b9WIIk4SHxN5HiTTJOHZn2nB5bVPHXSrHw0USfNyUmD9KD0hJR0xHUcsL+sa5/C5qcVYWFtJxFcZf7daBmvqTTizhU5CQRdjD15iKq0YdJGh0iJvkVLibRHHnkEV111FVavXo1NmzbhzjvvxKxZsyLXWblyJRYsWIAXXngBY8eOxcUXX4w5c+Y0xF4ZT15OhiF9VO0466ZIom0kZbKlFcjqVRTHOcmwUPX2Akvai1ElygCvKHHqosEVbRo0WH0yLTu53aGAw3TWNZnPC6PoOODfbpbhhFT7pdq3sHaiBFjWTgVlI+s1lUbcmQk8wEmEXFJPXJyAy8sDl5e3zxpizZpmouNA2eAs2YlM22Y/oKVE2vbt23HwwQfjzDPPxEknnRS7/Msvv4wTTzwRX/jCF3DbbbdhxYoV+NznPodRo0ZhxowZDbDYRWNtkd8zxTiJ/h5ToevWcVNPG24g6qeoXnnyNRR2rjwlKpK+GESKDV3627ucX6SoOhCI34Vb3Fa3e3MK75kbCnXa9Yc+3R2KsDP5b6ReEZY+NJrtesi/x3g2xPHiKSrdpxF3SQRdHs//JCIuLmWgWSLOK8xaR+QT8bSUSDv++ONx/PHHJ15+yZIlGDduHK6++moAwL777otHH30U1157bahI6+npQU9PjzO9bdu2+owmCIIgiP4MdRzITEuJtLSsWrUK06dP98ybMWMGzjvvvNB1Fi1ahMsuuyx3W/IoTVHPW28uOXGpagPV3yZh4ffYmAk8YHFhPiBfD04Sr5l/m7KHTOSjiWK24FVnvlM3Tboj61J+pvCiZA29RV2DKm9ZWMeIwHIRx7fejgx5EfmbrmMc1yTngTE9kfctybWsI36ZOG9bousnzqsXsY00HQiS1HRTemx5Oe+nHADPOzxZxrBuAfRpkbZ582aMGDHCM2/EiBHYtm0b3n33XQwYMCCwzsKFC7FgwQJnetu2bRg7dmzdtugs3aFW3iwaUOMqjNibF4mt1GQVqHrIDTzJNZNE4PlJIlT88/wCJaxTgQiV6aziyUkT62sw3bppIblnsmCT9zdsX9Pmiqk7DiQLieZVF60Z5JWCESX20gi7JKIuSmh5rpMQ6g6bJgi5113TTLUN6UXFOgbiuFKnglanT4u0LHR0dKCjoyP3duVebCr8N5/kvX2SbbdekrST1DbynkWT1MOV5Jrxn5MwgZeUoNgKz0mL60wQ1rtTgyukuFySw5McbXrEmurhnGRfixBgYcKr7D05E/1+FfbFCf8kuZJAMhHDEnjMonLkPOJR0YYeJxqZFrm/dXvjMorEIkYSyZUixu7sJ5T0jObDyJEjsWXLFs+8LVu2YMiQIUovGkEQBEEQRFno0560qVOn4n/+538885YvX46pU6c23Jb43p1JulpnD48U8YYerIOWPXRTlAch+o27td9RIvNWkpQkCAkdpcmliqqFliifywlr2sVs4e31CQ4YrAodbY4Hg3MDVi01r1fFv30OI5FXMomXTHUc0/TudNtN/xvJWrw2bWg7y7UCqD2Wob+7BOF3/zFSed+ShFPjQqlx4dMwr1iR3jax72k9jt5ctPKF0HlBHQf6Ay0l0t5++22sW7fOmX755ZexZs0aDB06FLvvvjsWLlyIjRs34uc//zkA4Atf+AJ+9KMf4cILL8SZZ56JBx98EL/+9a9xzz33NNz2OJEWhvix5he2rO8H7Blrr5Acuez2xd3M87YjTUmSRuYecW6Eh8vlG3tcvlSCGmH+umfe9eOFjWiPiYw0psPkcrhTB7NDm04pBvshqPptxO1f0rpnUR0hovZPtW7ctopCz/CwDr+mw/dJKbQU+6kSRIkEXoywSyPqAmNxxhbglkK1EeHTqFB7VK5omJhL2vHH/xsI/gYZeBky7DmjjgMZaSmR9vTTT+OYY45xpkWC/+zZs7F06VJs2rQJGzZscL4fN24c7rnnHpx//vm4/vrrMWbMGPz0pz9teI00IH3HAQHP+BYdRr3CKm97/NRjX562JbJDOqdZi6UWQdRxSOJdSZNYLz8gwwSYd3l125ZEa7PEmjx4OkzorA2cazCZKHBrWEngil6vcZ6qNN69qPUiRxeIOH5lGtIJUAieJLmn8AuSkDzbgFhKdl2qPKLe7cUIuwhRFyfoojx0UZ65KDEXJbjy8so53QRYze41zWxbiFanpUTatGnTwCN8nEuXLlWu88c//rFAq4KIH4iMDrtop+oNM8IjIx5M9ZLbw8HetSy9BMPI2zYguX1FbLvZRF0zYm+VXoEIgRMnUvzCJLB8jHhithetwtss+8Xx5JatJtOsHp6AJdhgBh6McR0FsoqvuH0LazuqjWYjBEhSb5v3eoneF/Hbiy3GKv1Go4VevLiLEnaRoi6joEsi5uLSQaI6/sjrxgk5uUdq2a4zgRXuzPcmmbtnrqS0lEgjCIIgCKL16C85ZHlDIi1nVF40AKiwiLIevlCo/DYnvxdlqa+T5M0qzJsU5Y1yPTLF2FQv5XyfjCepZ6/+c5MsR1J1rjx5aHIJDr/HKUX+lZWTZhWz1TgAkcPJAJNbXjTheTCZZYF3/9pCcpGShyXD9itqHSB8P8vo1XCPWfJzYyYZLgnpvHPWuYy/78TlVqq2FeV9C/O8CZvSeN1Ee2Eet0Ax8gzh07gyO5yb0KHBQM35vozXHZEdEmkNQkv4ULSWtai76KGCND9g1ZJF2ATU/0DL264s9sQOcJ7jzdPfUty2U42rqKoTFiHAgmJHEVb0VUL3h2Q1bj1cdLRZ4xYKwcXsvBuYMO02nLCnf58S5H0GiuzGCEu1SA3pMJCi2nvWayGv6zxNGkXigtcJbDOFgInKe0x0LUeEQCOEXdqwqj+s7rUhGEq16vclE3PudsMFXZKODRyGc+2JYrZlgxfQcaC/eOZIpDWINtaZanlT8VCtZ5gWmbCHTFp7ZJLYlvbB5LczzoZWJ815SXIs/J6mtHgGNffZ5hckSYSajK64wTJoqKBiP9Ds9uyeniYzFXlA7j6ZCi9aUg9X2n1TrRO3jaJJe2/QefLfk45KqvajBKBue0jTX78ybcrzLQgTeVEvKmHCTtVWpKdOse8qD11cTlyYoFOJOQbNMYeZmmUbc38/RGtDIo0gCIIgiOIooOMAqOMAkZawfDQAaOPJh5oyYUD3nZqsYY48vGkqe+qxK6uXIcyGvkbUuTGdMEv0scgjLBblSYvr8Zglt06DhjbebtVAs+fXnJpoprPv/n0zmel4aPyoQpBxnrQkvTmj5sdtPw319O6O6+EsrqG0PbXjrq0kXjqx7bi2wvY/ziOnbjfcAxfMcRTtBJcP87oBYZ43RfgzocfNWj/c6+YWv7WW0bRs9TiLxhpgPf82+wP946lXAtrQnnhZ1U0zr4Gxo+ansSfJd/VsW7VcnmU/ykzcMUpyHPI4VppHpEl/x4Y6kws0WR5p0KBzHTp0cPshxridj8ZMZ5+ckQdE8njUoNYpxWQSUadaryii9k0Qdq79Uj+pcE8jDMO3Hd4ZKgyVffL+qwRZErEn748s5pOllASFXZigs9ZPJuoSizlFTpw/H45zE9zOx3THwy1fXhqRDRJpDaIjwpNmKt4JVDe1pDfZooppRt1okwyKHEUWuxoh2vLobZlH+1m2mZeX0yvWvN5ieTiaoAAKepb913rAk2bnP5n2azeDBs6sab84c9pQiIpkHrRwe1mEByzLORP9U/PAf95Dk+EDxyW4nMomlTBMKgSBfMWgvF1Z+KW59sX++EWZ3J7KZmFfOmGXXNT5BV1WMScfx1pJOw4UMuJAP6GEZ5MgCIIgCIIgT1qDaOPJcwXkt9t6vUXhIc/4t5qoN/+i7KqXosKvrUDensUwD1rAm5bAg6bCf31pYNCZBkB3RhbRoYNzEzVp30yYXi9RVLiTJ/eehdke5wlOur9+0njWvJ6YuHC43S6Pym0UxzeqnfgRAYBkHjuPXWKpkN33blexvYShTX+bSUKwcR64sPCqKqTq97rFhVJVHrck4VPZ26axtlLWSeMcMGnEgUyQSGsQHQlKIARDQcG7WJZaXFEPkbDvwh4gUQ8WlW1FPeD85BVKyssegUqIFEHc/mcJR0cKMxb+XZJHhOn8y502NABtTIfVbUCICA0mOHRuevZRrhclzw87vixEcKqm5X2LazcPkly7qnylsDbC5FSSZZKKQY/NEWJQXj5JVyVLTMUJwgjxqchO9+c+Om1FhDi960aLOw5TmTsXFU71h1LDBZ06fCovw2E4Yk7USXMHlC8HRXQcKM3OFQyJtAbRnqD6Og+INPimOZJUCk/z0Azrkeq3JcymJLZFi8R8yMuHlOc7aJxNjdh392EaNS6n+vzI9snXicbiRE6EQTaqGzZjQJv9cDHsBQxuCTbDl53jFWxcaiPaNv8x91///n3zU49YSyLGVCIDgDOWadrfpbztuDuHdRyT5mCme0ImXT42n43HefjDjo/Ca6bwuvmPv0qQBdZRCDvVtN9L5/fQZRVyJteg2ctqrM2bk8ZY/6n62kchkdYgOrQ0JS+sH5XqtxV3s1OGa1j8MknsCbMpyrZQz0aMCf71knkbYhcJJYmwKDNJ9z2R1ynmepG/93jbUh5D02ezrjG0awyce0VajXN7UHX3d+G5HkK2Gycek4rL/MKZwXYC542FrRuxTuj2pO8SXCCcJf8BZXkpSibU3Pskj7A5i1ALCCyF4EvSicsv7uRjK3vt4jq4yO1Geedkz5yqTcY0x7Oss4rtNU5fsLxQihhxINfWykv5gtcEQRAEQRAEedLyQBkylF/LOUenHpdT4sX/Fun3OiRB9myo8myc5WJsUdmTh02CKNuiiHzTjrAticcnrU1RtmQhavtJtpX3uQmECUO8aarvVah2QdeATp3B5IBhv3VXTY4K5zC4u9+m42GI99z69ykYDg2Sl1c1ynMQ/xtz1w2cSxaSrxrlqQhZx7t+5NdK6skFjfXu+XYnLNRr2RGxHUXIP3B/VXrQvPPc8GL0uk54M6HHzdN2RE5cmLfNhOEcK8Z15VijzcbKSaMRB7JAIq0I/Hd5xtARIdICuWgcEL86+X6Q5IYYG+LJcF2H2RNYLmG4M+ohmMQ+96HlXTirTsrnodzIG0ZIHmEOOjHuehEvJP75SoHnm44yj8EKd3bqsEWaNb/NBKqmEG7eNIAk11vS/Qm0k+o6VKMSFap1nPMmGRsQCIH1wochDxPxZtxDLUGoNXSlgA2ZV3WoJ8UhNDdNrBCS46fOAxbooeLOkxIiWuHhy4SFUFVCLipsKsa5dcOdbaUcZJ1zFn/9pW0z19bKC4m0vAl54ndWojwj3mlxI/dfhEkv8uCDKPy7JMgPlqBNYVuK3maYGVkfjvX+YIuSWHF25bXdvG5YfnvCPFFRnjU/Ytkob4cGoE0DBlQsQVazfxRVk6FiWqLN8D77Ar+HqOte+X2d3mU/QXHEAtdq9O8n+AKifoHzb9e/2fDCucmEvCwWG4fq+MURJpTVnsZgk3Fi2COsOFeKu2CHlnAxJ/8tiy8hzlRCjntEGZdy1VwRJ5bRUYHO6LHel6CzSRAEQRBEcXDkPsA61UkrKTfccAOuuuoqbN68GQcffDB++MMfYsqUKcplly5dijPOOMMzr6OjAzt27GiEqR46I9IE/B4BN5wD5fw4vPlC4d8lxRtyTW+Tapv12KXu9VofRQUHGlWGI8m2khB3XoQ3KpUnTfrO7/kQ3zEA7RrDwAqHyYFe+4ZeYUCbxlE1AVNzQ+5h+5rU/qh1VETmPCnC70GPTPR86zvZa+NtU15N5T0KzmPROVxNjhUp7xsZbk7hIVGW6D4Rl/ur6tke5X1Thz/FPO8ycu27qLCp7GXT4XrYxBi3JjQnb02DHe6kPoF9hpYSabfffjsWLFiAJUuW4LDDDsN1112HGTNmYO3atRg+fLhynSFDhmDt2rXOdNYk9XqJEmmAOqQYCJVkEWkpQ0Cq7dZrU3xeUHpUm8364IkKsSaxLelmwwRK3uR1HKLC5MH6YsH2kuyeWE9nHB0ax04VDoMz9Ng70WvnpFWY9LDj4cc8NsRZZ4A5Ks8sKpSpevFy1vPlpHmFW3A9a36CMGjEvjZbpOWHdx/D9is8bByd++v31rhiWyWorXVFWDWsdJEJ7oRO/WFT7zqaI8xkuxzxBg5wHTUYqAiRpulgni4JGoJXT+PhnMq1ZaWlRNo111yDuXPnOt6xJUuW4J577sFNN92Eiy66SLkOYwwjR45MvI2enh709PQ409u2bUtuYIQA7NSjHw5huSlxb9AqPL06FfNU00ntEcTl1kRtK4lQjCPPvDTV5uut+dVs0piTJD/Qe01xzxbCjlXcIdSY68XSNaBT4xhcseqiVWxPWpvJ0GtwVDX5NxHM9VLZwXxHwfo+/YkKXvtMOd//ouWd5splAvN8XsKwlyLTd6+J8tC5y7gLxdyOMlHvC3BS309SyaHqLZvsPuZd1iOkHGGt7uTBOQsVcu5yLFDrzz9tcg7OvF0GLAHIIY6UGJlDA3OEm46SdhxAAR0HSnbPLYqWEWm9vb1YvXo1Fi5c6MzTNA3Tp0/HqlWrQtd7++23sccee8A0Tfzbv/0bvvvd72L//fcPXX7RokW47LLLcrUdsB5AQKAyhwf/zTmLQAMSirQE7UQ+LFLYVYRIi7IpLY0SacoIT7rNJCZ3kSYvrwoZpvSkuR406982xjFQ5xjSVkONa2gzrC92GBraGFDlzOnxGVW6IQ8vLRDnFfOGrwLfAx5BaX3vf/C768lFZFXfW9u0ZzBru7pvm2De+4nrfZGXUR8N/+FMq7Xi7iVJ2svTq5y093dc6oYqRK2+L7OAoDN5UMiJaVnEOeVkmOV+49J0nHDT7XYNzqBz61Guc1HMlugrtMzZfPPNN2EYBkaMGOGZP2LECGzevFm5zj777IObbroJd999N37xi1/ANE0cfvjhePXVV0O3s3DhQnR3dzufV155Jdf9IAiCIIj+BLdFa56f/kLLeNKyMHXqVEydOtWZPvzww7Hvvvvixz/+Ma644grlOh0dHejo6MjdlticNPlv6W06bQ6YKh8tKrdIpdIDtYIUIRr/fJV9UR6XerxpSUKdWTx8QDLvT9L26/HGp70F5eX5jzsvSToMaAprgkMyWW3rthepXeMYqJsY0magaprQ7YKcGgCdMbRx95ibCL/O/PZlva5UeWHWfMnb4VvP4x1zlpE8K/D/liwPjBwG4kwsay2o29Nu6QdAON4CZUJ8+2ryhIMDpThGYccz0XWRMfczL6+2anayvEEW+N7fmYpLrk7VuTY583nZvOdLhEndgs3M9qa55VR05g2Tmpxbx51p0OxrSIMoZlsu/0sx4c7+IdRaRqTttttu0HUdW7Zs8czfsmVL4pyztrY2vO9978O6deuKMFEi+ANp16Ifo+pkYRa4GaTdMmPeh6bqYRlli98e1fwo+2J72/lunWkH5/bbFGZbGElFRnDF6K/D7MqKyqa8t6HaTpKeuUnFriaF9RisnptCpHXqJgZXDAxp60WvqTvrM3C0mZpV0NaeJx5owWsreIyiHlXB6zyYuK8UYL7vxEPblB7mpmJZ+cFsrcsdUWZNWQ94Bm/SvzXtPuB1ZrfraQsI3GJyuDzS9JaNEvhxHU3SphxEfRf1AhWVIhH8jvtEtbtcUKh7z71KxDnL2G1ECTdxPcnrmfbSTgoLbAHHTei2HGfQoJVMoBH10TIirb29HZMmTcKKFSswa9YsAIBpmlixYgXmz5+fqA3DMPDcc8/hhBNOKNBS9Q+kLU6kKd6mdXDPj1Z+K1Y9oMUDVuVZiL6Zem0LlARxHgZSfoTdkCoPJgxhV9xDPuz+yxULBIdoiWkkhHo8MJ7t2+boCYSeSmikIck25G3JRG03iejyXzOqZfztaXCFlOUh487volM3MbBSw6COXvTWdGldHT0mR9VkzlBRSWz2dxqQ8fd6DOaPqT1egJtbZHrW8z5wa84DV84x8oo2w3SFnCb9vjTm2iDatvbH9pQwHilCnH2KXySUyCHAIrzzshCLy4t11+HKdfzbUH1fD0lybP0dRFQRDpWQcwSX1Ka3Q4Er3MQ1La45lagXuZiavR6TtgVbzImRNoRAK1vHAfD8PV/J734WjzzyCK666iqsXr0amzZtwp133uloCQCYM2cObrnlFs86M2bMwL333lu/sXXQMiINABYsWIDZs2fj0EMPxZQpU3Dddddh+/btTm/P008/He95z3uwaNEiAMDll1+O97///dhrr72wdetWXHXVVfj73/+Oz33uc83cDYIgCIIgGsj27dtx8MEH48wzz8RJJ52kXGbmzJm4+eabnekiUp/S0lIi7dRTT8Ubb7yBSy65BJs3b8YhhxyCe++91+lMsGHDBmia+wbxr3/9C3PnzsXmzZuxyy67YNKkSXj88cex3377Ndz2uHcIzdPDi7lvjdKbOOB6rsJCcmFeNO+br9oLwkO+F541z5usz66kZPHs+ZE9fYG3a8WqeXuRokhT2iStHfWQ5b06LmQZvVxw+4xxz/mvaK6HeYDtSRvYUUWbZnreunWDw9DCPWlx17aMx2Ptm2d5N7whT8u7wXweD+7xrhl2/pDweDAwcGYNbeX3hIl1GLPDk5KnRMYbXuUBz5o65Catn9bNAOne4buHcO5+J3v+AK8Xzf+bdjyoktcsbBmxraQ1HvP4fcTl2vp78ao9aczxgsnf+c+ZfL5kT6sY4smwe3oK713NtHr9Mu7emTmYdXxsg0xmLa2BpXcrNRiO+ry7YW0ahhEokxWWV3788cfj+OOPj2yzo6MjVcmuRtBSIg0A5s+fHxreXLlypWf62muvxbXXXtsAq+IxPMKCQ5VE6Xe5B3MbpAdMyI/Sq6Pcm4zmme/dtup+529etkllQ9L8KH/1bSAoIKKKcPrtcbfvayPipmVEtauYV0/gINmYj9nWK4K4fQ07N0GtzD3fWdcgc7LeHbFm/6szjnbdRGdHFRrjqJqiFhSDzjQYXAuc82DttmS2u+ErFpjPwVAzmfRbZE6ZA7GMwa3va6ZrR427R4HZy2uQXmJ8Igtww50escct0SbnKhk+QeYPp/nFmmqAdSdvTfUSIpQRVwgliLxWd9qQRJutMz33NPWLDve8LIoaeU4KhO87sS0E7OGBefKyaUiSe+sPWwI+kca5IvTtnkvvPGuGDve8OqKdW6FxsQzTrDbk3TTAoXE3/QT2dWiUXaHB+l3lnujPGZ566il0dXV5Zl966aX41re+lanJlStXYvjw4dhll13wwQ9+EN/+9rex66675mBsdlpOpLUqOzwuJ4VA8wge+18eFG5p3pAZY9JbrItcRNS7fPg2lG/rvuk4+6z2gzfysDfkNEnf9dRx829Xpp639zS9zPIk51th7H6rryUW6LAiemoCliizkuCtaYMzMMahV0y0cQPtVUtKG6YGDdwZCse7Xbn94FENVov3dcThDCYYDNMVayYHKsz1nAnR5gwSb3vADA7nwNRMUVBUbEe2wf3XK8jEhzliz7Af0uI7a/+t9gynHe483EPzojg89bXCEHlMTp4g83rEhHDSmCvkrHPoFVcarGLE7hGw2pBtUhXPZcyb4xYQbuABwRgWFYi6RJP0ypZFueu58q4jdxAJiGZpWXH83bp+sGuZiWvd8pJp0jnUuHWuGXOXEV+KtrntsXWkm0qM2/9x3vxRBhrB5MmTsXz5cs+8rCHKmTNn4qSTTsK4ceOwfv16fP3rX8fxxx+PVatWQdcT9ZMuBBJpDWJrr3fafxMDvF6KYPKyfzr+JswkQRQqhKRQhJ+wBGvxNw/5Lso2lkakJVAbAY+a75hFLasiWdJ8fDsqVNvPU7AlMStrr7gkbfg9W5r0hGWwe3PaakdnDJ2aW5izjenoqekwDQ2myZyHb5tmqkOs0rwwMe8VS8IT5r7RG6Yl0iq2mTWu2d4MzVmZiw04birhvQjfHodXhAFA1X4IVx2RxlA1LVFWlUSaNQ8w7JPhCDdnGQ6DW6MyyGU+rHCZe0xUHmv/sbIEGZPEmiXcxGmrMAbGGHTmCjpds86dEF1WGRUG3XTPrQZuL2dvhzOYjKGiqe8zop0w/GkbGnPvTH6vm7Uf3m14rg/fdqI88GoPGvOIYlXP3pp9b3RDmYDOXdGmcascBYPPC6Y5jmZ350zXQ8kYV94wTM4dUW6gCs4NxZ41F+slJd/XRw5A13UMGTIkl/Y++clPOn8feOCBOOiggzBhwgSsXLkSxx57bC7byELJuoAQBEEQBEE0l/Hjx2O33XZrQMmuaMiTlgeOxyBc825517eoAs9Yb/5pHvSmxXk+NE8YQ54v5aEorHbDnt4NeD0T3GND8vCia5OzPZ9tlg3h9oXZJNulss0/X0XSZOWs4xSGDcwMZPeqqSyJzD2KsCmMqHwwf9v+XCIRwpI9aRXG0KEzDDLccGen3oFd32kH50DVsMILJrxlOyBPR3QSMLk1zLQT8rSH09HgereYHXIynPIF3Plb3m9POAuWp8TkkMKUzDNsVdW0pqumu0yNAzV7nrUMR820PGfCu1az59VMjqp9TqqmaXvbrBUNcFS5AQMGavbVb7Ca5U1DzbKRmU7Yy49cQ0uDBo1r0MXg3PbwQhV7GR06dKahYucFAsKLxlCxT25FY+48x0sq5lvTFWZ51mrcDW8zWB1HRJ08nVneSV3yJlUYszs0uV7BCoPdscp7/4F0rXE7dJ6EYEFgyUPrXDtwtqUzUavMDf+agOOCMxlDBXF+LKsFb6DWay+3rzkD7m+N2/vGHa+Z3KLp/GvyWgnDnfnnpBVdzPbVV1/FP/7xD4waNarQ7cRBIq0g/MUbX91uxTu9ORZ2CEbxAxXz/SEMxwUv8iYiHrBuHon3ASrCHH47ogWkdzqJbe667rRfKGjSzQ6Qw6FB+2QYU9vk/M1FPodX+KrsU+E/ZrJtSexTIVcKF6jsS2Kjf5v+MJbKzkQ2Kq6nuNC6/5yJkJk/jKZLD+42jaFdYxhgxxq3VXVUzU7orAsdugmdmdK63ApxeX47XpsY44GbdiAB3M5BE7soOiMY3O6kYIcnDc5Qc/KHmPMBLNGlEmUGt8YXtabd0GXVznercY6q6YY2LYHGbSFnCzJbjFkizbDnmaii5giyKquiqvWiil4YqNrzemDwqjNt8qqVlwQj9GHNmAYGHTprA3NEWRt0rQ062qxzxDugo4IKr6CNW/N0s4I2uEKujWnQmWaNCiGEnH2ehSBrE9Ma84gyWbQzuGFUd1xX7oRTrXPu5rHJaRPqPDbvCJZZUhTCOkupOhbIL4RyDTxnHpd7A7sdCdxcQ0vEGtIyhsmdcDfsdkW421rG+puDO9dHjVVh8qrnblwGRE5mM3n77bc9XrGXX34Za9aswdChQzF06FBcdtllOPnkkzFy5EisX78eF154Ifbaay/MmDGjiVaTSKsbvxgLm7cOfwcAaNytDO2HSz8o035P4vbDyno7NjzLmtyA1fs6/IcotqMxuSK1VCyUa+4yPD450mMDM2Eyr82OXfJ+saB98v5rTPdOQ4fGtcCyst3K3AyfbUDEcfMhjqH/vEQdt0j7EtoW+C7EPhXCNr/dwg6VjSo8153mPVdmZF9Y9fYYNGjcPacVXrE8NkYFun2NVaCjDRV0MusWNFCvYNM7Ota/PRBD24EB9p2pzXlQS0I/1iKxX948GOGJ9hYVDSaBy70pRX6Rt3en9wHrzFN0ABACzMkls6dr9rT1sR+wHi+Z3XGCWVM1ZnnJrG+qqDH3QWzwqiXIFPcBUdTUL9Y4NwFm2Sq8a5yZMHjVme7FO5aIYxoqQqTZoq4Cd0BvjWvQTR0VcR1Y8s/NY2MadPvFUPcJeeGRszqaWILM2+MzuiOD1Zb8gule6VHlPJKiKmui6hgi96z1Rz2sadPT+csqiuwKMJO7uYVimRo3bQHmvpBbPlNxvZgwWA01GHhHewsA8K75L1SNd8F5NdsO92GefvppHHPMMc70ggULAACzZ8/G4sWL8eyzz+KWW27B1q1bMXr0aBx33HG44oorml4rjURaQg4++BBlDw/rpc0b7lSJtD0H72kv4S8+ICMLHtd9DVi9gbwPc24niCZL1GeO2GAeMcE4k0RGfIqiHELhMMHl+m4wPHbJtobZJWzzeH+g2/WBxLLJ7PPbBkQfN5WN/nMXddzS2Bdmm/VdvH0qmEekeY9fmI0q5Ic794WJ0og0sT13aBpbpEEH45r14OZuKK0CHR32PnTqOga36RjSzjCkDeiwd61i11bzDymVBBEekqdNyL3lbK+IT6TJ4U1D8cA1uRVq8s/zekq8vTRNIciEaJPmmdx05tW4AQMmDPu4m8z622D2NGqWUGM1NwzIa+D2WtZ+2T38ZDmh8qgxTTpXQtBprgcUOjRWAYMVBgVgh0Y1V5BxXQqbuiJNk9rRGIMO0QlBtG2JMXEFC5GmSSKNCZEGeToo0hj8EYogeXb2UfbedaZdkSYLOA63o4fT+1YSaeLaNCWRZtgizZDaNmDCDXeatog3sIO9AwDYzgfjrepg9FStWl+m2aOMthiGgf/7v9Wpj0dW/L/FXNpM6ZmbNm1aZOTpvvvuq9OiYiCRVicccK4WJm6SiuUO32l3AL6QVsRFFuYbi5NRSUtYqLaVxR7PtmPsyWITEG5XHjal6TlTpE2AuqcagKAq8W077PypHiZRhA3bJduWyL6Q9eWHqQ6gTbM+gCXKdtJNDKoYGKjX0Klb1uuaiYrGnZCnZaevKGqC/CMuecI8wo0DTp00W7DVuCTc7BCpU/DWDnOK+fI8JyTKxTwmiTSGGrxhU5O7+W1ingFb5Em5bLJHzlrHJ/iY9XCvSXlrZsgD3c3vsr7jHk+49ziKIqmMa1IOlmaLNvflRRfzRLgTgMZ8Io1Z/7qhTObMt6bhmQascKimSXmqdtuMST1H7b/FakLEecoMMTcMKr9Oy5ctU/QYlVZPhTiKYTmn1vXHHGEmvvOEUrk3ZCra4772RW7kNsvRio3bh+PPbSZ6a912OztSWk+UDRJpOeD5EYfkAO3fVfNMex6gdguq7t9xeLueC3u48vs4VDbJdtVjk2xXFqGW1B7xAI4abNt/nNJ2cXZvrNmPkcqerDaF2aMqQRGFP0Ffts1fOiFLt3D5IakzjorG0WaLhDaNo1030Kkb6KzUUKlY8zW7BAfTXPvC0uzk3w/nzOM8EqU3xAeww5OcSTlpVs00USIBsIvUmpCSx11BV5OEW82EM13jVm21GuDUYKvZgkzOSRPTNdvuqsHteaYjwKq2+KraO9Nrhz6rrBc1Owetl+1Aje9wc9R4D0zeC8PshWGHvUyzCsOsQjziOewRH5nuhM01rQ06a4OutVvTrB06a0Mb64DOrJBPhbdBRzva0W5PV+zwputnrjDdyj8T51pjqGhWZwNHlGmWh0zubKDZnjUxT/MJMI3Zwk3KT9QhxD932hHTXg+c99p2r+t0+O8qgd+ZHT63LhnmrCO/HLheM0hC3+uNlb26nrA6pGVM97p6u9dyELzFd6AGSZipknebAIf7UpNnm/0BEml5EtHLc9+hW60/pIelv+K5901L8SYmh6/kXkg+r4LnDVHyQMThzd/xPpbjbIqyx7VFulkmsMlvj/t3uD1RWGESrz2AV4DE9RgMswfwnp+kPUiLtifqGvJvP4lt7nTQrribpnwtahqHpnHouvVw0XUOTTdRaePQ2kxo9p2J2U9hz3jRTmVZaduySwL2c8lw53MOcMMWaXb8yDQZuMlg2kLKNBgMU4Npam5+malbIszphapZAoxrqNmjItRMhppmCTPA6ixQY5aIE5lBGgesSrjiWFj2c6kGG9cYuMlhMuaMVMC4FdpzPFkhYtuSRFX78DCYTIOmVZy2maZB19zcGsY0aMwKZ2pMiDIdFdaOCmxBxjpQ4W2ooA1tpivKKtDRbp+QimYJsorU49Oatnp4AqK3p92b095+xa6jJnvShABzvG2wpt1luB0ilUSaLcCYvAy8HUtkERc1HJ0f/xXuF1qAJbI89yMn10zqhWl7a918M9sbC+bUSTPttpxXeZ/4E8vwEC9rTbTNOBjXke01qkB4KbRiS0IiLXfUP44RE6ycAc+FKm7OcqKMWMY/L8RF43l4WXcnr6ch7AGnQrYH8D7wxPcRNjF/28y7Pcbg3BkT2eR/CKuOkTMjpA2/PdL2nOPkP0YqmyIEQWp75PPjPz5h9kRQtz0xtik9V2JeSLuqG3LguqzYIgwA0xjQxsB0gLVVrDiXsEFjyvIhnvwS0SNASvzh0rg7XMQRDXu+PU98xLRZY9bHEW4ajJol3gDAMDTUDGuYKr9w6zV1e5qh19Tskhuud61qSkKOA72iV6h9nqqmtJzHu6a7JTjMCmq8EzVuoiY6HJhWDlrVfsRzxmHAAGccXBedU4QnyX6pskOYIp8MAHSuQ+cadJFLyBg0pqHCNNfjZXvFdLudiiaLMnsZW3A5JTg0IcCsHEPA/dstisvt9dx5DNz2sNleMnBrVAomhc2ZGXz5Y+Kyka4P3+UTNvaxdaykhT2XGLN+Utz7gs0heVhFsWNpaDHDDnOLZUSnEhESt+ZZl6oQsQZn0KSQOAB3VAKxkKXswDWpJAqvQGdt0FibvW0N0QPhEWWHRBpBEARBEIUhC9k82+wPkEjLAynMqerZCQBt7+3yzlCMq8Sd2BQPegbk9QRu5Vexee98MMtDETUulKpdrrBHLCPXLwhDNeCebI/H9vBmwo+P/aUnqzbELr8HxmcPAPcYwTM7H3uiUJwvxx74v/PZpojF1G2PbFNg2ymDQ/GVlgEwMOF+YQB03XK5gAEV3Z0PuJ41wIn3OI4SU8SApOvT5IBhOAk9XCxjcHARy6xx8Jrp1M7gVVjf10yYdpySmwZ41fKwAda/hsFgGhpqNeFd02EYDFXbk1YzrDy3XkNDzfZSVe0QacCz5vG2ud414T2p2V41w07UF7lsJpfLe1gdB5y8SM7tW4d7DsRfnjNq96gUM6OS+cWlULET+cWDQwz/JIcuRZFasYxm5x/qdqjSbYe7ddPsULjHc8a4VS9PtGt7yXSYUg9QbncUkMObdlg9JAUjDu/PiAW8ZnIagZXjKDxWgNzxROQ6Ci+a3IlEeNeEZ9XKN3OnDc5hMOZ0QgHs/DNNKpAMa7rXADrsgnMdtTa0s4FS6aCwgbiIVoFEWp0k/u2PG+2dNqWnppXsACbmce4WXRKxrKiHrJMNq4nEK3uaWQ83f8Eg+YGX1B5/NUJuqm3yhF81n/hh4Tap8BUp8tgj/nXulglUiIghyuKW+Y6HXKQpzJYk9kTZJMcyVccHcG1KUoxW9C6Wz6E4Z377Q0oxePDbFFieqUW6qxLCt+Xfrupc6PLxCYn7Kq5XGIZrg2FY16dhhXqYYTqijZl2+KfGgZphCTXA7l5pgldNaPY8XjPtp6HVrlkzYfYCvGoEhJtRs8OdBoNh6KjWNOdBXTWsHDY33Knbgssr3JxOB0Kk2fPkHqCmMFWIB/sBLxdPNTniXQ2+9zdREkNM65qbvC+/T4jcMcD9W4QqrWW800J4VZjpC29yp2ixdVviHgGma3YRYxHK1ExnObcTCffk4TLnZ8MDl25UL2B/j195npPXCCHK3M4npsnsdwTNXoY5HVBEKR0DmrMcYJ1zp5CybaTo+VtjrmgT517ksjnXh22qodmjOMDttNJZ1dGGTjBNvOSwUriciuk40D8gkZYjDCz0oWq+xy/SOBiXhJgJSZCZ9kPWlLryKB58ftGhMdjd4OxpzX4QusvyiGQnJrctizBuem0S9qi8JX4vkN8eYbcsLEPs8hwfINoeYVMUwh5nA8x7jJz5MQlhfoEq2yPPC7PJI4L8glXzibgImzz7rrAHkJ44CV1p/uMj26XCvx1n+wqBqCLqepG3bfrsV12L3LTEGOAKtproJWDYJdsN9wWoWgNME6xqp2sb1vKsWnM9cDUDqFrCDQBYzRZwVQ4uhFsPB68Bpr0ts6bBqNacfDYAqBm65WET3jbT8rzVTDffzeqMYP/r6zkqhquqmW4JEJFp5PQSdERA/KFXOWuFV03ka4nelowFc8d0eRlHlJmeZfweMSGwAMsbpmkcuj2tgUPTTGtYKKdziWl5ynzCi2leTxrz/ayt27B3x5P8pAGvWIN9icmijXMAkkjjHDAN11tlyh1PnHwzzRFugFVCxTSt4rY1TZOWgSPSLCHHHWEGCGHOXWFnCzmduee8U9NQMTqglezR7n9nzKvN/kC5zmRfZtCgwKzYa8yUH0SmegUGn/jJ/raS6JqXxaL/wSmQ7QEy25TKHmGTM9/02pKDPamQz52fME9a0fYkoR57/C8SjoCDd76M/+mZZPMc3utPHGuTA6YtuEwARs0SZwBQM8EMw5oWosw0LRFXEyLNtL6rGY64YzXDWteedkRbj+uBYwO8oo1XLW+bWTNg2iFRs1aDUdNh2NsyTM3TCQFww6SWEHOFmxXatB/4UhK6PKSQAe/ICZx7w1z+0y9nG8ilV/zlKpyaY7LgkvrxWt4uK4HfEXcat4oQy541TYQzTWcZ6+MKO6b5vGT235pT8dYWZRqcUKYj0IRBKgd01DUVcJBz+DvcyD2EYZd24abrZTNNJr0LWQLMuhyFt83ypNUMu0MGTBh2r+KK4yUzYZiaU+y3wjkM06qtJ859jYlQuDWtmwwVbiXZVO1j1KZraK+1wx2NpGS9PInUkEgjCIIgCKIwrBB83i+kDXrBbTIk0gohp7cXjcHplK0YkqopOJ4WvRw2eTw/kj3Ntk0+d2WgER47+doAGn8OTA5uSF4y05Ry0gyrw0Ct6syDYYDVam74s1ZzPWvCu1a1vWpVybNWrQFtOpiTt2Z718R0lUPr5TBr3AmTWuFQ7uSx1apW5wORv2aZzBzPmhsas70wIsEczAmNuZkQvlER7MMhj6agQnjM5H5Hnsr79tq6Jlfj9+aSwc490yTPmcprZmUWmK7nTOE10zS7aLEm5tneNCfkbxkZKOXjj5A73rTk1zyX3ZDOPGtaLnEjPG1OGRcOaIYU/jQMRf09DlNjTqjXNBlMxlDTNGj2SdRNBoNxx0tmmBpqTIPOuVPuRLfD4Dp3c/1EOmWb/dtr16wh15jkoWYoQ/4Wy734bPP3qTG0nEi74YYbcNVVV2Hz5s04+OCD8cMf/hBTpkwJXf6OO+7AN7/5Tfztb3/D3nvvjSuvvBInnHBCzlaRS5kgmo7GAK3NnTa5FfIEwEVos1IBEyHRag28reKEP1mlYgs0HajZt8aKLdgqImxqABUdrE0Km1Y1oGICvXY7ugmum9CqDKiIDgccrMqh1YQAYTBrHLrJYNoPfKPGoOtWGNSURJphMrQ54U7NyWcSIVEO6295HEm592EU/iLUVvjT/g7cLg7LHYGhwQ5VSnXJVAn+ugZJkJl2XyG3HVmUiemAKNN9gqxiT2s+AWbPs3fInZ/itsxE9WAp3MmcY+gKOG4XSBbRRG4A0LlzDjljYNwScaJNTbMEm1jG1GxhbhrOuKkG06yOP/Y51WCCmRw1uPmyzDStwsamdx854CkkrHOvSCNam5YSabfffjsWLFiAJUuW4LDDDsN1112HGTNmYO3atRg+fHhg+ccffxynnXYaFi1ahA9/+MNYtmwZZs2ahWeeeQYHHHBAE/aAIIiGIYs2kwNaDTB18Kr1QGNMswSY6LxSrVkPf1kZJIChBg6A2bdTrhm2iDAc74EGeMbG1GGLkhogVAFjDMywxIzoLQiDQ4MG0/aUaCa3K9Vr0OycPBNAhZse0eaWjYizXRZpXFkYVpS+sOy2kvadhH9HxJlOp1wn4V/kpOm2OJNEmqZ7BZnzt+7qLGYXzpcHcmHOKOtiB5hXjCn6ndiGeqd9SXpctGEy1wFuJfe5oogBVkVZBDxuYnXOuN2viDlC1oRPLxoA18Rc29Nqj0bhlIfRLPmme0ou2R0ZnB20xT2zK9fYLer2EPdlwt/xPa82+wOpz+Ts2bPxyCOPFGFLLNdccw3mzp2LM844A/vttx+WLFmCgQMH4qabblIuf/3112PmzJn46le/in333RdXXHEF/u3f/g0/+tGPQrfR09ODbdu2eT4EQbQ4ovQMcz+c2eU+nPIfDNzNlHc/IjudaVYIV9SmsENt0EQ9QkhCglnLVWB9ZO3nfLjjURIiRogbUVrC2hR3VhHmaHDXE70ydWY6Cfw6c0OOVlV+HvhYPS5F+NIVaE7oUhJoGrg7SLlkn7u8bz7j7qEW+8rcQ+2MqmHXMxPJ/55jBNdzFhBozjmD5+MKOt85VF4P7sexy/9ElLchzXLmKWxGYP+5Z/+tNtxQL+ANPXvCz/7hrRTravKXRJ8jtUjr7u7G9OnTsffee+O73/0uNm7cWIRdAXp7e7F69WpMnz7dmadpGqZPn45Vq1Yp11m1apVneQCYMWNG6PIAsGjRInR1dTmfsWPH5rMDBEEQBNEPEd7dPD/9ZYD11CLtrrvuwsaNG3HOOefg9ttvx5577onjjz8e//mf/4lqtRrfQEbefPNNGIaBESNGeOaPGDECmzdvVq6zefPmVMsDwMKFC9Hd3e18XnnllfqNJwiiuYgRB7j7YdwqXisXa2YiI1/+iJpsXKqzJkbfMK22uTTNRXuGKIQLOANMez5ugrlpMqf+likVTDXsUg5iFWGOCXc9E9aXhiiS6inTYc0L+tGYW7/L/ljbcB+CcvV80y5Gau2aa5+7vG++U6pCKl3B3UPtlLbgzClrEThGcJP33eMKJwzp5I+Z8jLy+ZY+yuvB/Th2+avEyNuQZjnzFDYjsP/Ms/9WG25nA8Dt4CEvY0rzIV82vnVN+cuSorr+6v30FzLlpA0bNgwLFizAggUL8Mwzz+Dmm2/GZz/7WQwaNAif+cxn8MUvfhF777133rY2hI6ODnR0dDTbDIIg6kXqOODURDMMT8cBuW4aM0y3Z6cogiumq1LHAafHp90poWoCNRPc7jiAmlX8llchjVTAwatWL08AMHrdgdxNu36WGMhd1XHA9HQcYDl2HHD/1hjzdhzgVhjUlDoOmNChaW6ivOg4YIlN0XHAivRyu+MAhwnOmRWis43knHvqNjuhQdNN8OLcskXsAqvACo9qAHP2i3tz1KSBzT0uCCNGwchdYqXenMJWsYzoOOB8Z1h/i3J83O7pyQ0458wR4oY1bXLmFLwVuYei2K0YXkoIcCGgAdjfu/Xx3NEo3BEqTAAGTPDE48ARZaeujgObNm3C8uXLsXz5cui6jhNOOAHPPfcc9ttvP3zve9/D+eefn5ed2G233aDrOrZs2eKZv2XLFowcOVK5zsiRI1Mtnx3xgyhRyQWC6G/IoozD+lsqwYEcSnAIcSaEGQBlCQ44JThsc2qwRFmrluAQ+eyMQzd9JThMXwkOrsEwuVOYVdO0FCU4WGgJDl6DVILDXcbbWcAVecWU4IAj1sQy3FOCA4oSHMwRZoArwGrSeTbtAsaeEhy+QsZiJAqPSDPFGLCw1+MwmGH1Zi4R1HEgO6lFWrVaxW9+8xvcfPPNuP/++3HQQQfhvPPOw6c+9SkMGTIEAHDnnXfizDPPzFWktbe3Y9KkSVixYgVmzZoFADBNEytWrMD8+fOV60ydOhUrVqzAeeed58xbvnw5pk6dmptdBEEQBEH0X84888xM682aNQsf/ehHI5dJLdJGjRoF0zRx2mmn4Q9/+AMOOeSQwDLHHHMMdt5557RNx7JgwQLMnj0bhx56KKZMmYLrrrsO27dvxxlnnAEAOP300/Ge97wHixYtAgB8+ctfxtFHH42rr74aJ554In71q1/h6aefxk9+8pPcbfOS01tMg4eFSmwTgEYMC5XKHmGTM5+GhQrYk4QWHxaK5TwsFOxhoRAxLBT3jeXJq7CHhYI0LBTsYaFcT0nLDAtlQjEslOX9K/ewUNzdyTB8xyWQlyb9jJMNC6XZnjS3DIp/WCgTzAlhu+fZDnU7432y4LBQ3DssVM0Oh/aaDHbNZPSagAEDXPqtlcXhlH8eWXny0vbYY49M6yXRSalF2rXXXotTTjkFnZ2dkRt++eWX0zYdy6mnnoo33ngDl1xyCTZv3oxDDjkE9957r9M5YMOGDdCkh/Lhhx+OZcuW4eKLL8bXv/517L333rjrrruaUyPt7be90zTAumcfaIB18Z3m3b7vOAXsEKjsAaRM5YQvDv1wgHX4BlhHxADrvGYGRJnZI8KZ9qZqGgwRzuw3A6zrNMA6hCCLG2DdzSus2SLNUIQ2hSDzijI4Qk4MsN5rAjvsi6FqmOhlvTC5c3VE73iDkPMk82yzLFx66aWFtZ1apH32s58two7EzJ8/PzS8uXLlysC8U045BaecckrBVllwcLCwm+LG17wzTJ+44Nz7wBMPEr9AUTZu/ys8ae4dzH7ouzceJupF+Ymzx59U4Bcqfltke5xpprQJGlO/E3m2x702+m1KIkL8ola2R7ZRXkZli98e9y4e7tlT2eHfjqdIksclEI3jQlHY47c/iTfLb1NgeaZOCHHsSHhO5OtDPhe6fHxixKHYHueuMAOsv01I+WdCoHHJu2aJMuERs9SQnfQve8lq8HQAMHttb5ktwMwas3LLarq9aSvPrFpzvWRVQ0PN1JyHcJXrjiCrSp4SkWckhJabHO6aaApTPZ406bCLv+OeYgzOKAOAdfh1AOLXKMrB6cwtjaoxq3CqEGDib50BFfs6cqeFSLPmVZjpE3uSZ80WcEK8OfN8IxmI5Rxvm1Ovzd4Hn6Dz7G7YzRlecSaLMkAScBBCzRVpQmyJfDPR29WQvGtyZw9ACDBLlDnCzfaQOrmHkkDzdxQQl6sl4oBeA3jXvqR3mCZqrAcmaqH7ShTLhg0bMGLEiEAHRM45XnnlFey+++6p2mupEQfKCEdCp+vLfpHG4Y9HcOcBz8XrcfBh6KlALT3gAHjupNYXtihjXiNVIS2PuFDYI5aRs5LD8A/N4rfHY3t4M+HHx/7S460JsSvglfHaA8A9RvDMzseeKBTny7EH/u98tvkPfx72yDYFth13lUdcp8rtMAAMrCKeqrAKxVas+ajo3s3KYs0fRnW8zYa7nyZ3RRlgl8iwlI1T1b3GLRFmT/MqrO9rHKZI+Df9gsxK9jcNDTU7lGkYOgzD8owBbtiy19AcT0nVThSXBZk1j0nzgF6TOQ9fwI60cleQiWnL62LNtDxrXNLI3L51uOdA/OU5o0J82TN1xqAx5ggpS1wx+19rXsUWbhVJyOn2Mrq0jM6483DRGEdFs7xtwgNntWMJNcDyzIV54IR9orCuGPXA2gfuiDlnvyCK8brz0kTxvT8jt0OGkItcEs3Cu2Y4XVKtc2uabpkIf3ja8oIGRZkhhTaFx8w617LnzB2vU7w/9BpAj33B7DANVNkOcFPq2VACuHQc82sz1+ZyY88998S+++6L3/zmN5gwYYIz//XXX8e4ceNgiBfHhKSuk0YQBEEQBEGo2XfffTFlyhSsWLHCM59nUJbkScsDceCZCR6ie6t/7vYsCsB565fr7jjL+OcliJyJekEe55E/XyNKlvsirJ6CkuL7CJsCeR/Muz3PYMlJbPKlyCmPkTMjpA2/PdL2nOPkP0Yqm/y2+LaZyh6PV1OazYLfJxknuW57YmxTRlzDPHry9v2r+K/LCpyBqpnGgDYGpgOsTXM9Z7bnU1VOgfvDubLnmXNww/UmcgO2ewLWfHue+Ihps8bATTeXTOSVGU75BM0JY9YM4fWwwpi9tifNSubWfF4y23PmhDtdr5lI+q7aXjLxLwBUDW7PsxYyTG57VEzU7BNf4yZMmKjaIS7OuJU8Dg5uhxPFuKGa8NZyDQwMGjRotrdPhw4dGnT7xFcYg8Y0VJjmjA2pawwVjUG326lo9jxm/Q3ADnUyybPG7LCoGwIVf/tz3eR51tBVkmcN3MmPE5eDNeQV3JCoM4yV17smrlctwQ/BlH8EnkvMLRzs9645nQTsDhuGVK9N7uwBCC8ZnELCYp7JmROkNOywpil5VQ3u1kcGbE+afa302N7gHl5FL95xctJ4STK3OPLPISvHngVhjOHGG2/EbbfdhhNPPBHf+9738KUvfcn5Li0k0nLHhEp1bFk/0PpDrhQt/dCtf+1FnB+8tw05b4KFuPLl/AxAcv0nsdxXAdvj9Q+xSYXfHtcW3800pT3u3+nske3y2wPJpji7ouwBvOcnaa580fZEXUP+7SexzZ0O2hXXe0u+FkXvPl23Hia6zqHpJiptHFpbDZp9Z2JWkpRa1EcIZ85hCTI5rdIpNGpfO4p6Voac+A3AMHXr4ekTZFaSv53w7+uFJ8KYqlCmHMasWv0PnPBV1QSqJnc+1jyOGjdRtXekymvoZVVUWS9qzIrJ9mo7YPAqanyHbWMvaqiC8xpMuzeDm0huH1emQWM6NFaBxtqtw8p0VFgnKrAGpa+wDlR4G9rMDlTsR0WlVkEFOtqZEHK6LdKsDyCLNnvaFnAVDV5x5wutivw2cQ3qcMWbtQy38+a4JNKs64rJy8Arxhikzgjy9Y1o/Fe4GFVB/s6UQqDWtJ0jKPWuNbj123BzCEM6f8hFabkb1nZz0uxpN1pvhcZNjpr9clJjNRi8ClMU6CtVx4Gcw50l6t0pI14ezz//fEycOBGnnXYannvuOVxyySWZ2iORlieiRLbih/HiP3f2THudHMxZXfV9FB5HmvQGqvo+DpVNsl312CTbldSmLPaIm6UqSdjpX+E7Tmlj/q4eyH6MVPZktSnMHs/xS3CDlEsxuPO8dgmy5EmI8bEBO2dJ42izPT1tGke7bqBTN9BZqaFSsRPKNdMpz+Ami6vb93QwFUMN2chDLYljIXrgieR+kfDtDIsEN79IeFdqpuh1p3mWsTwa8rTlFTEkkSa8ZFY7bn6RK9y47WXhzo2ew/pbTJsKcWwt54ow0+6WaJo11HiP9b1pwDCrEPKCwwSDBsZ0aLY7U9PaoLM26JoQbe3QWRvaWAd0ZiVBV3gbdLSjnVvLVMwK2kxLuAmRJoSbqJwhvG+yd03XrHw42ftm9SZlzjzRacFxgEtCzhFl8IownbnT8u/L/7tyr+t0+I9+4Hdml0KxxJor6IQIc6bFPLgvm54CxYpta7De8YWTuSJeQDRXIDPO7GuhHOKsv3P88cfj8ccfx0c/+lH84Q9/yNQGibQcED9cBoRmM77QbR1q+acT5W0J+4nFPRw9Oecxy/q3lcUez7Zj7MliExBuVx42ZRWxedsEuHYFvvc/SXzbDjt/XpEWb5e//4nKtkT2hazPpG3oANo06wMAHTqwk25iUMXEQL2GTt2yXtdMVDRulWiQevSFefzCkD2v/p58QtyKMhZivEpreW81f2d/wN2EdliePrtTIjTOUWH2kD62bSKU5ZRPkEJZbs9Ny7NicN3pGyF7S4T9Nc5hcA5DdByAJcxE+NOwh3IydBOGfRVw2JXoIcSe6QmHAkEB6AmN2nZrsMKkOrckGLP/M8GdMiHghlWKwj7ZVqk5Do0x10sW0UlBULEFidzHyCoJ4i7HmBBmzFlG9ANyrlNmnS/5JUGDvxMF94hBmaxCzv97dK5TzmwvoXvMOROCjzmNmL42RF8zuX3TFvpCaL9V60QFUnmskmTXC2Gad5tl5Oijj0Z7e7szvd9+++HJJ5/ESSedRDlpBEEQBEEQzeKhhx4KzNt1113x8MMPZ2qPRFpC/u//1kD1TsXApPiL5s7z8e7Lj9hLiDfQoL9CHhTXhOGZZzLTmSfmu8mh4e8oYjviTctKFXbHGNW45i6TYOzRgA3Ma7NnHyLsk/dfY7p3GrqTzOzZhxj7/LYB0cdNRizvPy9Rxy2NfWG2qb5T2adC2Oa3W9ihslGF55wx77mSbQu1w7c9cazENiuoQOMadFQcD0wFOtpQQSezbkED9Qp26dCxSwfD0HZggH1namOion14flz4fvnz9tz+BYDruZBD1SIHSMyr2d4LQ/LEiZCk8HKIRHAnj83+3pDyzQzb+yU8Yo43jHMYogMAOKrcgAEDNfu4G8yaqjErt8z6pooaqzrnzeBVcHsta78M21MmXVeKnkeMaWDQoYn7lv07dKahQ2dtYNBQ4Vaemg572n506LxinW2uoyKuA2tNxxOnM/tqYMwdzxMMjMEN09nlQHTGPKUKGVzvm/DGWrml7nnV4A2Bq9IIsg6k4S/VCKg91O41xR2Pl1yHnMO9Xqzrjtu5a66H1AR3pjm3OoRwcNSEt41z1OAOnl6DCYPVUIOBd9hbAIBtfDO29mzAu73WmNWm+a7y3DfcDyWlGeTXZr7N1cuvf/1rzJo1y/Givfrqqxg9erRTYP+dd97Bj370I1x44YWp2iWRViccPCDKVPP2wh4A/DcTEWbxXm3uD5/DdHqr2T90wLNOlPuUSTdEsQnLzW/dMP12RHU8CZRrE7Y55gVtc9eVHrC+jQjbnBurbYvKPreNcJucv3nw+ITZp8LZpsK2OPvCENv1n1O/fUlslM+pNe0SZmciGxVx3LgeYv5zJh7A8nWlgVl5SrY5bRpDu8YwwO42uHM7w3sGmNhr0Dvo0E2nyCmzQ1VyHpK1DfmaEufau69yLz3O3dClU2RUFBR1ctLs4XikKu9iWg5TGpyhKtW9qopemvYyVbGMCanjALen4bRjdRBwQ5lVzlE1TdRMS6xZ86xemyKUWbU7DVR5LwxUxQmAwQHmhDajxZl1zDSPCAMsAaazNrTxDneaV1DhFbTZnQl0XkGbJbut88g0S4RpDG12ZwJxnoUgaxPTWrCjgKhbzOB2JHBDokKgW9NCjMllH0VY0w3Vc2XYPotIU+WHeUKSzrS7LAeDYfrnudcaIHpyukJetCPXw7NEv5ujCNj1mLkr5Kqm9XeVG9hmWuesqvdgu/4GdrA228J30+94AfSHcOdpp52GTZs2Yfjw4QCsMOeaNWswfvx4AMBbb72FhQsXkkgrC/4H25idLHWdVAhZiaey6PC+ncH3twr/G6g83/8mKhMugmRb3TdAIDwPI842IGibZUO4fWE2yXapbPPPj7MrzDa/fWlQ2ed8l6lFtWdJ9VAKszlJnoTf1sBxUpwv5nu4yg/lCmPo0IFBFavhoe0GxgzowfhdusE5UDXcchbBdrltQ7jdTpK23OPWnnbKaXB7WiqfYHB3/EyxfY9Is3tsGlLPTUMTok08PK3pqglpnlgX9jS3h4ZyxV3N5PaoBBxV2+NYNU0YvM0twYFOVE3hbRM5aDXbb2b35GRWSQ4TZuDi0KB5/hYeTmuaQTddAaZDh840VMCgewSYm6hesad1xrwlOCRBJs67LNwY3KK3Yh0N3BoWCu56QqQD7jVkedO40w4QzOf09H5HclSdbfw5n5ZXzL6+4HpXrWUZOLPWcYvXqjyvDBpn0J151mg1Tl6jCWgaszcqdo4DJnPsEce3xplzziq8DZokvK29p04EjcB/H82Sf6aCRFoeSHXSwm4JIwZ4p53fn9yMdEeVewNZ3/lc7x6vkdumjOvhCBcbblKuyoPi80x4BGL4AM5RnhfZJndetG1RBJLlfccsalkVSnGTYJkkWNv3rhxnUti5VZHGLG97QqRkWVc93yq34d2CLNJ0xtGpcexkd1Hbpc3A0I4eDBzYa1Xytzolgtcqbi0pj7WugEtQZk/qOMA882SviKk4ghrz/vY0ez8ADi520Dlw8sPUSnp3bGRAxeQeT2LVBNptD5vYH+GFczoFcM3uJCCWscOm8ggDdphM5aH1P579HleNsYDHU4jrCmNOkr4TuvSVzhA9MHXp3GpwRZnYjijDIe4aTm9OTztqr5gjNySBFibOrP1I/nAMvuSxwHfyy56478leNtm7Jjxi8jKu50xMMyfp3/GScXc50a5/+yIkqkKIMgYNGquAJSmw2ED8z6+82uwPkEgjCIIgCKIwOIIv/fWTd3vlhERag9i5Pfp764XK+/YrQpzib3c5l3DfnbdUgd9bpVonGOaUvHU+O8S3wWKpIcY47YtQlTTfZ5vzd3hTgTfgqNBhVg9alG1JCNtu0W+Aed+64vY77Fry5o3ZHha7LZ1xdGgcA21P2sCKgY6KAU03oZluyYuqqaFmaGovlyIvTUaVo+YdpMDypIlaZtbg2G7YU8yrmVJI1P6oHjhyjV23lITrZWManOEkDW551QzOnGr+BgfaNe6EwwDY+U1yIVTueFy84Td5v9PlXaZJ1BfnUF5HeMXELut2qQ0nbKm5nlXZAybnn0VdYs5vnYsIhOwtV3gM/eVSpMm436TKE6/ymvk7m8jLyt40MU94zwBR3JZ7PGei44nYDzknTexj2L1VY1boFLA7djAd6YK8RF7cd9996OrqAgCYpokVK1bg+eefBwBs3bo1U5sk0hpEp+b+wjTGoaq+HHZTEPgTVlWokqvlkIG1fd86inbCQoVhtbdUD1EVsk3uPN8yWcKcvu+zpgOo0rbqud0lyQaJHUKpgaSpwycTDAnzwHdyL80KswrYtkmDaXPOYNQ0VKs6eu2ctF5DR6+heRKvVbaowvV+nHpoTviIBeYLoSbnqVn5Re4yVjV55vTc5HbKvupcy0VTlWIW3BlNwcpRYp4Hs6l5e5uatn1yEVV/7pSVC+MTqBFh87iekiJZX0zL++URcr70irjfsbwPIv1DfunkducYsS0DgMZ994+YkHcUYfcMVccAwB/29H7v/04WZe487pv2ijR/b0+/GBc9QqMKG2tS79wywaX9yK3NfJvLhdmzZ3umzz77bM80DQtVYnTfm75/Wp5i9iNHTvk0YQ2H4jzQwx6WCvETzEkLXt4M4Re9ya2cEmGTNc9ayUliTfiTkW2St+1ZJianRNgDyWaPXb5Go/JyAvapHmKR1njxW+7flvJGpRKGOYu0NLltAtWiYddOcDnfNOCpAu/YZf9rcIZeQ8OOnjZUqzp6qtat6d1aBT2G5knej9p+kmtH4PeeyKLH681mHpEmizlhu/ygFkMC+V+y/Gi28e4idsFX7tpkQLzU+W2Gx5sj5lmwTC8psvDy2AjffcXnEbO2yCKvLet4uZ59vyAzuCsIDf+1ysU23P/n8fvwRwX888OOr0ekgXmElPjOU3ID3vNVk0S229PYLd0BWL1/RRtyWY5AgduwHLWS5aT1B0wzySt5ekikEQRBEARRICz3nLQyetKKgERag4i7oMJ6csqFNz3Lh+TocCk8IN5UTe7Py/DnbHDfm6T3e/nt3d2+2q4oGPPa5G7fu1zcQLyqt16/XVGolvF74mSb0twMkrj0k3j28g4N+L0BSbyJXu+uWF94MmT/jxeG4Pk1YYXzTGdoHMtbIEJk7xoa2msVvNPTht6aju01q87TOzUdPabmlL2Is9m1IfwARvVa9ntG5HmA8H4wRYiLeX4nBo/OXVJ5RcL2y+s55u7vWXixFOfUrON5GFaSR9gjI2yRy1KI5eQSFNY8FvCSMekGovnc+UEPezLbE90DfMdddY8LhsfdZUPzAeF6zTzeWGna9aJxzzESHjjvOnItNe7p4cnFMiUZ+ikK+Zjl1maJdnvcuHGZQpnnnXcevvSlL0UuQyItd9Sp/NWYu6a6irUv0Tlmy4boiC3f6Jgl3sQP3X8daYDy4RdmDxTzo+zzHAlbQBqe7y3b0lzfSXLhkv6A5XwXv031kDRHz7/tMDSF6EizjaTb9O97WI6e4Xsg+5FnuQ9m7uQQMcAe39LdWBur4O2edvSaOt62w53vGBp6bZHmD0cGxUTwGKWrsccC84NhRhZ4oKvKMIQllCcNnfn3RH54J6Ge6ljyehr8vzffdiQxJgtjw/diyKTOD2I98Y37/2DbYUR9F3WM0nQwUgkwsVxoKJS714PTLlyBJdqJEmXedrh0nXHFMtyy0+lAYRc0DiliTBTD0qVLM6235557xi7TMiLtn//8J84991z89re/haZpOPnkk3H99ddj0KBBoetMmzYtMF7W2WefjSVLlhRsbfAH0ptCpKlu4II48RF46+Wut8KZJ6H04vinFTcq/3zZvijBFezNlT7HRLndBMsobfEtF/7IgCefJgn16LygBcm9i/XgHykj7nphimOoEpTWctJ1CKDG3F6QpijGqbWjajK8Y3cceKemoce0RgAI61DDpAd+lk4oApWnGPA/cL1CTF4v7iHu/z2rvXb+abWnRsa/LdX+ZCXO6+sIcN98ObfMwls3z5tnFk2Rvao9x1ZxHMO+z1J4PEyQibbldoTHzC/KrO2JZSyBVoM1KJi1j6Yj1MpEER0HysTRRx9dWNstI9I+/elPY9OmTVi+fDmq1SrOOOMMfP7zn8eyZcsi15s7dy4uv/xyZ3rgwIFFm0oQBEEQBFE3LSHSXnzxRdx777146qmncOihhwIAfvjDH+KEE07A97//fYwePTp03YEDB2LkyJGJt9XT04Oenh5netu2bdkNl9hhx5fChlwCgm9wcV6rMFQ9J5N40OLskfGHfJLaI9sU9n1SokIXaUgbakliiwrVIjl34gzdThRhNoTVrFOGQD3zovyR3uXFMEFV0yrBoTOOGtfwrmHN32Fo6LWHTvLnOMXZHGdDFFGe2ViPizQdldckplWjh/h/X6qQYxIve94+FVUagIbokH0Sz3qehHrSfPPjyvZ4S5q4bavuy3KOmrOc55zxwHXjD2XKNvi9aFabIrTpbdfgphTuNMC5odi75sIRzAXNo83+QEuItFWrVmHnnXd2BBoATJ8+HZqm4cknn8THP/7x0HVvu+02/OIXv8DIkSPxkY98BN/85jcjvWmLFi3CZZddlqv9ALAjLtzpv0H4btaqZcJIJNJifi9h9gjShBdJpDWWvI5D2BBd/qT8pLXT/MhFlXs1IcIqqHH399JrMvQaQJXDI3xUxzuu80B+1xlTzg/LX7KmeewyQLqQm8emGAHiLlfchRqaOJ3kRS7FdpLKD9W+prmP+c+dZ55PgLnbDBd3weXCp8MEmadNOxeNw4TBrHFbDVbzrVUO/OHfXNos0T23SFpCpG3evNkZWV5QqVQwdOhQbN68OXS9T33qU9hjjz0wevRoPPvss/ja176GtWvX4r//+79D11m4cCEWLFjgTG/btg1jx45NZmhEQtaOmEz0uJu3aD4JUb2xkgikqJyvLDYFOivk4O1QbTbrTSDq4R1lW5rNhdmWpyeh3ptg1HkJGxc27Hv/+nHb1E0Ow54wOEOP/ZzpNe0By01Z6ISPDht3ffvtTgu3fQIyqhcqeT4QL77ClgkXZWobvLaGU8xLRfOfmuH5aNHHK0p0edZz5geFm1jXnzumal/0yPQIwMA63CvchLfNtkJM12CgiioAwEAVnJvUcaAP0VSRdtFFF+HKK6+MXObFF1/M3P7nP/955+8DDzwQo0aNwrHHHov169djwoQJynU6OjrQ0dGReZth7IiIByRNBM4k0iK+S0pU764sIg2oz64iwjpFlX6MsyvP7eZxW447L27leR65nGodIHityx1Jqppb2kJ0tKmaQI1bg5D7e9Blsz948dTrxQnrQKNaL8rjFfbgB+I912qRFv7jLIPnNw9PSNTwV0nuE3FiVyW0/NtUCTy5LIZ/6Co3tBkUYJ7t+cSYvwcnAHBmhTprtifN5Aa4J/hcDrHGkb8lJbiEG0JTRdoFF1yAOXPmRC4zfvx4jBw5Eq+//rpnfq1Wwz//+c9U+WaHHXYYAGDdunWhIo0gCIIgCKIMNFWkDRs2DMOGDYtdburUqdi6dStWr16NSZMmAQAefPBBmKbpCK8krFmzBgAwatSoTPbWQ5QnLextLu7tOYw0YaskhJXgSGpTmlBYlnE7gfrfqopI4Afi7cpru3m9VcaGC6WBtr3zw9uUBx6PWqamcSffrGb/Jqqm9REDTgPhofe0of2wHKo0tdVk6s2BUi+fIKyp9Bipr4i03qtG+2HS5syF3X9U+5/kOAU9nd48MWc5X5jSv3zgnh4RtpTneZeza56x4HKe72HCgO1JE+HOknjQHDhz6hDmR1F37XLREjlp++67L2bOnIm5c+diyZIlqFarmD9/Pj75yU86PTs3btyIY489Fj//+c8xZcoUrF+/HsuWLcMJJ5yAXXfdFc8++yzOP/98HHXUUTjooIOKMzYkL21HLcItH3EjDsuVCEPzXbhx+WBJCLMnsJzCPr89KpvS2pW091ZSmjWYed7kET5Kmj+YpCOKf1aUeQxWD04rX8ftRVgz3VCnPIYhkOx6i94fHpqjlvVlwdt6vGgDsokHa5mQ7YZcCElf8pLcZ+IoOpQZt52wdf3V+QP33ph2wsSXKkwZtYy/lpkQYmEizNOeR7RZ/xlOTloNBq+hbFC4MzstIdIAq5fm/PnzceyxxzrFbH/wgx8431erVaxduxbvvPMOAKC9vR0PPPAArrvuOmzfvh1jx47FySefjIsvvrh4Y2WhZv+oe4zoSzRLYnDIxp2/PD3yIpRI2KDXUfYkt8m7kPJhnlElRb11p+ltGkVS24rqNafafpJtZck5ijo37jXC7fnSegmFuIxqF3TNKsMhi7SqyWFwaxQEudAnkEykxXnPQgvv5kD0C03YOsl+Z0k9RXHrpG0ja7uh66bYYGSOXdQ2lMcq3NMVNs+fIxa2nMoD5l8uINJE24F1zPh1YKDKrLJRhkkdB/oaLSPShg4dGlm4ds899/T88MaOHRsYbYAgCIIgiMbCkX9nFSrBQSRGvOF5Qie+K2hHjCdNxl/YUPVdGEm8GqplktgTZlOUbWHbivNW+NcryguQ1J6yk2Tf/ccw6bmJCiFa31nt1ltbTre9aFwKbRqco8bVYxbGERv6jPk+bLmkFBGuy7pOEo9VlKcquK30pPW4RXrKI71q6u9UeVpxXjFrnjo0qVrH0/MyIkzpXzbMS2Z9ZyjnizZNGDB41f5eFLMl+gok0hpEjxn/w0mbHxFGIOQTsVpYTk7YDTvs5hxlm/Ihx8V3+VC3cz9ne4B4mxqx71nEjOpYeMd/9YcMk4kdzyYUZjEOGKa1VVmkuVXVXfz1pNxtR9jGFR0eAuHRsM4E9av4JOciTkyl/V2m2XaakH1awZV0+SQJ71kEmmo8S7/YUq0fJZ6cZSLElzwdzFXzPhPiRZ16eZMbbk4aF8VsyyXUOPpPDlnekEhrEL0J3m6SvNXF3cSCQ0xHP2DCvgu/2UW84StsU9mT1LY05JHsDORnjyCNdzHPbfiJum7CzpFsp1/syGIozUuBwF8zSgODxgHOrHlCrBiQRZo6OVuer4X0IJP3MXS/FPsWulyO5CWg4tqp9zrJ2ma65aK3rxJWcdsJazOL4FLNSyu+1NsJX8cMeXaIZTgMmLYnzeRVbz5aSWKC1gDr+f6GyrFnxUMirUH02G86SYhKME2LluABnMSO4HfF2FUvae0qyo5mUO858aNFCRvp0vCLvKSCRhV+rTkhTevfmiXZUPOFhuIe1o5t3G9btK3+fQOKe9HI8mJRr6cp7baTXlNJz0cy22KEWsT3fvET1abSu6ZcLiiS4rxeqvWUbfPoZbhi2yqRKDxpotMAdRzoO5BIIwiCIAiiUPL2fJEnjciVKgv3pCV10ScNRUS9+dfjOYp6w80STpPJYlfeniMVSe3KaktR5wNIH7oCwsLlao8a4PVUxXmpgOicHw0a2ngFHG5oswbDGfomSd0opy1hl1yGJmBfuL1+D1zYOnGkTSdIQjO8W6m3ncTjl8C+sO1lufZVHrHI5RN4x1TrqsKTqvb9XrKk93x/xwATrufM5NVMv/uiod6d2SGR1iB67Do2SUjqmo8jPNSZ7kETte2iwouq5RohyspA3DFKchzyOFZecSb9LQsYFi9+wvDbqEGDyb01pmp2VprVi830rBf5MHLGBI0TZr7pBOJOtV4SkojWLKQ512ke4ElEVNLtJ1kmzra0IstZLzQEmkxMJRVd1vz48GTY+qpemep1fSFSbrq9OynU2ecgkdYgquhNvGzSm0cSwpPC9brsEeTlrSG8hJ2fqHMhk8fbtDfZXpe/SC1+wvB70oB2CL8ZANRYDa4fzdr3JJ40p02FRyxoe7p9C5sXt/0s/e2SCiXluimvgTy9ZFZ7SXq0xwiz2I4C0Un1geUjOnAl8XZZ20wXUcgqvqx1k70gm7zmzLPWKZdQ48jfon7iSKOnJUEQBEEQRBkhT1qOWMNDq3NQqinCnUA+3rQoL5oYkLcee2SS2JbWg+b3JiX1IrUq8v7GnZ88vBRxhHrSEPRQRXqnEmJCA5jlDRBeAgNVKdwZUdRT4a3QmA5DOaZotK1x+6ZaJ3QbDSqSnOVcp/k95R0mrff6TesRs+aHr5OmTEdUsdh6PWSRXrqIsKvYhmkmryLQSDjvPzlkeUMirUFU+Y7U6xSRAMqgOd21s1BUUqrqQZjGzrztyhKSzVLDTqbI8xL1gPLDFAIkIGyYHv6d4iXAL3z8D3KNa047cmjTYDWYIi+Ne8Odcfskakd590P3TXt/D35hFybQVCJaFVoNo56Qfx7XepowahEh9iwiy/0+5rynEFzOdyH2hLcVEmZNIb6ixF6o0FS0z2HANGvSeiZQsrw0DgYz5zcW3qg3oCZDIq1BmKnqpKW/yYRRT8/KPJJ9s9rUn8mj4wBQz8PcFSBhSfNCAMmiRywrRI8s5FQeLRmTaZZ3isPxnIm2TO6UtLWWDek4oHroMeYXnOH7FrZfnvYkUaf52vbvYxmv80wet4TDDKVpO4tXK+m20nq64mxKmhcWt/1om9N7/+T1nN8EdRzoc5BIy5mwkGeNW+HO4EMj+00lDVEP/ixbyLOnZREFZdPYV7aCtvUe2WQPOfU1FyZO5GNkQr6Oa/Z64YInql33ew2cmdZ6zC3OafCq5SmQOhNwbgT2MfRhFmND3H6F7RuA1PtXJtKKtTSeWCC/F7y4cSiziC6r3XzCjdZ2knu9vOult081Xy7BwblZx8tZcXAUEO7sJ+HTct05CIIgCIIgCADkSSsE1SDITt6LIk8msq2cXNeiFcbq0+VFuNLlFuuxL6ttqrXS2JFku/Ue97zsiPdw1EJq1Fk4+6EIC4Z7pax2reUjavdxoMasjgKi7pPoOCB7z4QHwr+/cfumKb434Ts3vJrS4yaIDhGr2ikDWTziqb1wicYtzu79tbaRLiTprpctNy5qe1nCplHfxxbu5aazH2X0ogFUgqMeSKQ1CIOn600pSHKDS0NcWCaOvO3xU499edqWxI4026v3uKch64NH4AgyhaDw74csfLhPiDLFQ8cvUoTYsZasQoNu56C5Dx0R8pQfYiZM5X5GPlhDBFLw3ASFqn/fwsQcEC3EuCLdoWyk/R0lz5FMmNsWI2biRUsdnRIyiK/Y9TIKyLh1re/tPE37+eKM3VkyCWMNsJ5zm/k2V1pIpDUIVU+zNNTrwRLegrw8YXl71PK2TxDVXpR3q5F2FEGS7cXlpakeaCyQC6ZJ34ULOGf5ECGnQQNYm9NJwE2ENhyB5p0nicOExzbsAe3fJ2tZfxkOlXctJG8o5Lpi0DP1uity6LCkpM1JS3pOEnnQEojGrOIraWJ+2u/zEl+Ryyh+A/52yybWiPSQSCMIgiAIolCo30A2Wkakfec738E999yDNWvWoL29HVu3bo1dh3OOSy+9FP/xH/+BrVu34ogjjsDixYux9957F2+wj7iu/XmFAvy4HqriC8EmtU3lwWqEfWXYZhIShVoLul6stiO8jxEepigvG2CHNiV7NLt4LWDnedk9ODkM5/dioOqMTej3HKjGMEwLY1rgOmDQA8cgibdNXl9FmOfNb48fo0FFnLPndKYovZGDV8xqp74ctiRtNMNLlnXfveuV875GZKNlRFpvby9OOeUUTJ06FT/72c8SrfO9730PP/jBD3DLLbdg3Lhx+OY3v4kZM2bgT3/6Ezo7Owu22Ivjjk6av9GgsGTShPY8w3VUx8ci7NhnTf7Np+NAEDncJrbhiH+pPeYLfXq+Y5rHPqvemOEIGp0BnGvgzIA84oAIc3K5zICi40BYaYKk++Ox0y/Qkgo5RchePiYqsRXogFDy30aWF5s873lJXk6y5ocBjQ9Tpm0/fplyXj8czc9Je+SRR3DVVVdh9erV2LRpE+68807MmjXLba9ETh2ZlhFpl112GQBg6dKliZbnnOO6667DxRdfjI997GMAgJ///OcYMWIE7rrrLnzyk59UrtfT04OeHncIp23bttVnuE3WjgMy9YibUDHW5By1RvR6LC0Jj5k/Jymd56L+82uoxIivXQ0+Ecb8As16eMn5blY7YhuWYHEEmVS4lnPD4znz59/IxyPJ/ir3x2kger+c/fEJUGvb8UIuuE5Ynlzzfxf19BRMe93VK76SLJMs/60+EVasAAvfhqdOWhkHWC9iWKiU7W3fvh0HH3wwzjzzTJx00kmB78vk1JFpGZGWlpdffhmbN2/G9OnTnXldXV047LDDsGrVqlCRtmjRIkcQ5kmmsFOO4biwtlTFddO2UQ9lDTkWSZpjDgRFRRLyCisBQcEgty32xRCiy1nIdMSl7H0T2xTCTWNtwhhwZjjlNuRtCdEmP4jChFkmT49fXMkjJUj2yvsGILB/7voKLyOLOIaK8GiisXBzeMHJ1UNeUOeCvDzEyURSfWMUFynEotpJG6npKxiGEXCkdHR0oKOjI7Ds8ccfj+OPP17ZTlanTiNo/utaQWzevBkAMGLECM/8ESNGON+pWLhwIbq7u53PK6+8UqidBEEQBNGXEXXS8vxwAE899RS6uro8n0WLFqW2L86p00ya6km76KKLcOWVV0Yu8+KLL2LixIkNsihchdeL23Eg3zwkwJcDk/LtmvLDGk9kWZCCB96utyNB0CNke5qgBTxshn89n3eNMQ2mMw5mmxPSlIe5EcvKYxLK+WrWv/GFPEPDispOLGZi76GyHZ+nTbV9efmw3LY4yuKFznoPybdMR/1eMqC8nrL4ZeRl+889ffLkyVi+fLlnXpbnd1anTiNoqki74IILMGfOnMhlxo8fn6ntkSNHAgC2bNmCUaNGOfO3bNmCQw45JFOb9ZC3OzrN2G7Nyvsqky2tQpYHdp5ho6RtBMSaL9ypEjqAN3yoSTklYlB1E65QE/MDA6uHiDNlr7cUPfjChJNKmKpEnD+MHSriAKWQC7O57L+ZLNdVUXmV9YYrk2yvOSIsCu/YnWWkqI4Duq5jyJAh+TZcMpoq0oYNG4Zhw4YV0va4ceMwcuRIrFixwhFl27Ztw5NPPolzzjmnkG1GkcsDso5ef41IRM56YypDknRZCc13yrm0Ruq2JA9aYJ4vJ0v07PSfZ5PBEWqcGVb+GbM7CXC3k4DsRXO3pS5oGyzmmU4MqK5F4fXztxvlVQy2ERRxgCKXT2mYuw99YVgpQerOBQk9h40USI0WY61Mmeualc2pI1OuX3wEGzZswJo1a7BhwwYYhoE1a9ZgzZo1ePvtt51lJk6ciDvvvBMAwBjDeeedh29/+9v4zW9+g+eeew6nn346Ro8e7el2SxAEQRBE/0V26giEU2fq1KlNtKyFendecskluOWWW5zp973vfQCAhx56CNOmTQMArF27Ft3d3c4yF154IbZv347Pf/7z2Lp1K4488kjce++9TelOm4cXox5vnOzVKIrMuSlJvAktQCPCu3VdAwWEQpTnLuSV2bOsvYxpF7Nl3ARnptNz0wlhSkNCyWFOuW6aNS86nSBxSDjkWkziOUzSRpiXTRDX81fZ27TJ1HdNpuwRmmfNtRTXROO2ly0M7NpooIy19goZuzNle2+//TbWrVvnTL/88stYs2YNhg4dit13391x6uy9995OCY4yOHVaRqQtXbo0tkYa9501xhguv/xyXH755QValow884HKTBYb/YVOWxl/jlPZ9qsR9iTKT2PwiDkhukzm1kWT7fWEQBMItCz5aYlgwVnqHLUQoRYjspKmJoSFT5tJvR0Z0oam8162sWIMSCLI8gq5NhsOgKt+PHW2mYann34axxxzjDO9YMECAMDs2bOxdOnSUjl1ZFpGpLU6+T8c07ZXzADmeVBGm/Igz/2K85yk31ae+WkJFhL3Z+6b53jUNGgwINdFs9qWRh8IdBxQz3ftCtvHqH2PFtZh4iupeEtE0mdZiZN8GloIN0cRlnb7eXrH6tmPQE5m7pVjW59p06YFHDkyZXLqyJBIaxgN8GCEhF8atX2iCLKK6/wfSGEwpUAJW1gs4J12OggwVScBb4FbZ16CjgPpr/sk3o0UzYUIrlw68+TrmCicokt1OMvnLYpSbb94QZa1rWZShmGhWpXyJDYQBEEQBEEQDuRJaxCNfNtphTcrIhyvJzSfc5l3SEiVQO/53uflCXifAjlphutNk4aAcsbu9NWCiveiJQ19psM6N6pwU/p2Qo91grbKmO+YhUaVksnfa9acnLjw9qSh1EroYyqi40AJd7MQSKSVmEYnhKYJv7RCsiqQTw22ovdVlXReFLkVU45ohwUGW3eFDQ/JSeN2IVtNEmvW8nLHgXDh5f4d03kg4/6zmLCzKuQbl98WsbFYW+q9RvLsHZr39VqkCMu2TtkEWRTlvS+TRssGibQGkfeDPuuNMerm3CrCKw2tsE9ZbFSWcqij2HEeqAYWt2dI3/vEmj8njbtlOKz5RqC9sN6dUQIty5BRkfskLxMimsKEW9Q24zxkkR64ENtUNNoLV/RIK/mtU4x4Kk6UlWNoMKI4SKQRBEEQBFEY1HEgOyTSGkRZ8kfKYgcRTWzJjYaEhJK+pevK9gNeKC5/5w19crj10TyFayF52EJKcFgE50WVKkhKlMcrajvpvGuCcC9amuHA4mwrK/Xcm7Ktm8+1EFiuoHpvFurfJN3X+y4k0kpPo9zZeRXGbDV7s5Lnfgb3pXE33Tz2Q9WGHtwHWaBwIVhcIcfhCjS55Ia/o4CY5xIv0MKPZ9r9VwtSmbCQZLhwE6JK1WYyceYvHpyVPHLVirp262u3OOGUVgina79vhDOtYrb9xfeVLyTSGkbZf2xlt89Pq9kbRZJ9qVeUpj9eaR9W3ge8f3uWaPN41zjgzyMTAk1VoDboQVN8FyvO6r1uwtZ3z0+w0wSUtkV1RogWboC/elJaD1sYzfLI5Lfd4vMyyyTKAm2X1KNWhmGhWhUSaQ0i7MaddJ1GkvVtugwu90aMaVjkfobbX5wozWt/wsKdFmIEAf93Yh3NI9D85TaCvTvzE2hZ9j94nhJ6E6X1w7xtUTbFizdB+PijrU9jw6LFijJB8t+3uv2+cm4JPyTSCIIgCIIoFCrBkQ0SaU2g7G+0Zbcvila2HUiXe1RE+2rSrqP2Blm2Sx41T0Fbe0gon9csyoumykFLk3uWd6J6vHctfUgUiC8crN520n0r26Az+f1+s57fcnXKqWcbRF+ARFrDcMM62dYrmmbdrLPsX199sJQhZyiP9v1tuKLNFROGK9QAMHjrpKlFVzDECUQJtLTCLJsYjWo7Lk8vyXpxwi2sjeD2VbT+g78usd3Q2oKNEmblO6dUgiM7JNIaTvl+QBZltUtFK9mahqj9KkqYZjyWqodHqCDw5p0BsldN9rp5BZqzKfs777T3AZtdoBXRYzDc85VEtMWvl0y4qdpR0Yg8zqzk/VJST0mS7LYULc7Kfz/kvP8k+udNeX+dBEEQBEEQ/RjypLU6ad/uSvzW3CeJOz+Jz0cT35aTXmNhyyl6JHLuGwKJ2SFP5ZBP4Tlo/vnpenBG7FeSfY71HAJxIdFozxqQNCQKRHuJosaw7au5TvUW8q3vuPTf0KYKjvwt7S+OORJpjaIsN8J67YgTFWXZT5kihGle+5mbiMuRvM+hI8TkfTFtoSamRQkOvyBzp7OU2ChEnMUt69tPL2lEG5AmJBreRnYB1wo0c1xQl2wlchpVoJdoXVrm1/md73wHhx9+OAYOHIidd9450Tpz5swBY8zzmTlzZrGG9nW4Gf0pI3E2Z/k02/Yit5F29ZD/Irfj/0oSZ673LNiRwL+8ixH4PriMN7ctiV2ZiGzP9H18q3JvB4oghvQJ2byvjTghIEZ7SPppFEXbk+YYhRN9LuK2n42Q67jEiI4DeX76S45by3jSent7ccopp2Dq1Kn42c9+lni9mTNn4uabb3amOzo6ijCPIAiCIAgV/UhU5U3LiLTLLrsMALB06dJU63V0dGDkyJGJl+/p6UFPT48zvW3btlTbayZRY6MxRI7sTBRM7uemSV7LNOPv+Zf17Cc3AWmQdcYADg0sVQ20NCU2QubHepmS76/yPPrbj61nVm8OG5BmLNgsPTtbadB2Qb55d/WN/lGfB43ob7RMuDMrK1euxPDhw7HPPvvgnHPOwT/+8Y/I5RctWoSuri7nM3bs2FzsCAsJ5flfUdtvJI06Ho22u6h1G0FetgTWV4U1pfCmHM6qL/8snUDLur+JzltsaDl5ODSc+JCoqr20YdKykv9+GEhzTONsSk+C8GaZ003gdhzI89P8O2NjaBlPWhZmzpyJk046CePGjcP69evx9a9/HccffzxWrVoFXVcPWL1w4UIsWLDAmd62bVtuQq1VKYNQyEKr2u1HtR+N8IwWcfzkNoP7YIBHepLSjr2Z3nuW5z7724r1tCm9WuL7+Bpoaq9YlKhQ3wOjthFGq4+Z6yXfcXKpc4AlqPIOd/aX8GlTRdpFF12EK6+8MnKZF198ERMnTszU/ic/+Unn7wMPPBAHHXQQJkyYgJUrV+LYY49VrtPR0UF5a0TpiRITWQVcfQIlycPEXzKCg4kHGLO+D0+W95JamDkr5iHQwtqIFirRAhUxgi06LAokFW0y4SU/0tKqXjeXMgkzQbZOPETfoqki7YILLsCcOXMilxk/fnxu2xs/fjx22203rFu3LlSkEQRBEASRH0XUSesvNFWkDRs2DMOGDWvY9l599VX84x//wKhRoxq2zcYT91Po82mIJSXtLSr7eWrs23Sa/ZKXVXuCrLppOrINiB7xfd0etCT7qVpGfR7r86r5txWyjdSeNSBNZ4TWJl/PmSA/jyJJGsKiZZ7YGzZswJo1a7BhwwYYhoE1a9ZgzZo1ePvtt51lJk6ciDvvvBMA8Pbbb+OrX/0qnnjiCfztb3/DihUr8LGPfQx77bUXZsyY0YQ9yDttMuyTpx1lIu/jUBR52VO2/fJTrz3Wuk6SPZfbcx+g0QnXCY5NTEJ1vEDLYz+j20jV2SB2GxHbqSuh3p88X38yffE0xt58O1qU7XeeE5yD5/3pJ6Hdluk4cMkll+CWW25xpt/3vvcBAB566CFMmzYNALB27Vp0d3cDAHRdx7PPPotbbrkFW7duxejRo3HcccfhiiuuoJyzxLTyzSKp7fW8pzTj+CT31jRu+/W0FV1yIvO2Ezwwo2/yRZzbBHlltk2heYWxHjb/dmLy5BTHKVsngDyEj8pbV04BWEwOXivfb6MRxWxzbbN/aLTWEWlLly6NrZHGpbM2YMAA3HfffQVbRRAEQRAEUQwtI9IIohj6wttrvIcm3/ZTonrldQbtFGFPzerpaffyzLTNhN6NZCHONNuN2r8k2wn3qAF5etXU2wo0m5t3LS3l9JoJiu3B2hfuQ+Fw9J+6ZnlDIo0g+hxhN/ykD9ocHhhxsQh5qIEs28/4wMxNoCXdP0GkaIsOT+Yn2PzbUm9P2XyOIxa0CsWXFenbwozIBxJpBNEskiZVJPLKJKFBD4VMySKm600rgFyTjLPsX2LRFu5dAxLkrAEpBJu8PUE60RUlZFpJwDW+zluO22uBGnWcF5CTlm9zpYVEWqNIcmOv92GcNZMyNxFARJL1/GQOp7UAkR61OptOfRtP4sHL6dEQu9/JxBqQp2CTtyuooxRMAvHQSCFXnoK7ZbGjcVDHgey0zqsOQRAEQRBEP4I8aWWiWa8GjfDy5UkreQyLOqepcp4aRD37yjnAzMDYnY2hgR40VbuJ8tXCj0uiECiQwasmb1+Q7/kpj3eraPrLfoaTd12zfuJII5FGJKTRQq6Ih2JYm0UInEYLbnl7JRajiQYdbygleHgmOnfxtc8Sh0CBjILNb0e0PUQJri2i5SGRRuRHqyYJRNmdVPCUad8bLdjq2PegFyhY4DZ/ciixEbV4yDt+IkGaKEcvR+8aUIdg89sj05+FG4kzP0V0HOgvkEgjCIIgCKIwOPJ/jy3Te3GRkEgjiCha/U5QdO5ansfHyc+K80Rk9dIU6+GIy7lJF47M16OWaJtAsJxD5t6X/cm71kTPWb/J6eu/kEgjiP5EHqItozCLEjEcPEV+WgMfTAWJ9OTJ/nEdC4AkYk3eZqLtOivlJdqA6PPWSgKOhFFaODjM3DsOtPgLdEJIpBFECYm6AeWabN/qnsKiyCkPLcl6ib1qQN2eNXm7QIZrSYi23OubJRE+jRZyJRdj5EXrF5BII4gSkeRhX74ekjnSyB64JSF1GDQnz1rqbXtWzNPDlhQSJQBaU5xxeh/MCok0giAIgiAKgyN/id1fNB+JtAbRp70fRC7UEzID+vg11ciyIk185U8c/kx0DOJrq/m3DWS8jpriWeuHtKIXjagLEmlNgkQbkTeZQ1etRlHjfZYkHpNvnpogef25XK4jEm3508ICzSrBQSMOZIFEWkkg0dZ/KaKXUr/zrgHZRVtJxJlMumK0xXjWUtsR2RCJtsy0sDgTFFHMtoQ/20JoiV/K3/72N5x11lkYN24cBgwYgAkTJuDSSy9Fb29v5Ho7duzAvHnzsOuuu2LQoEE4+eSTsWXLlgZZTRAEQRAEkZ2W8KS99NJLME0TP/7xj7HXXnvh+eefx9y5c7F9+3Z8//vfD13v/PPPxz333IM77rgDXV1dmD9/Pk466SQ89thjDbQ+GyrvSta32Tw9NWX3zKTd12bvT9G1fvpNCBTok6/WievHJfamCdINv5X7daTyDpF3LUgf8KIBxdRJ6y+0hEibOXMmZs6c6UyPHz8ea9euxeLFi0NFWnd3N372s59h2bJl+OAHPwgAuPnmm7HvvvviiSeewPvf//6G2J4nZSjeV9awbL1J94Ky7E8RpCsYS7QcqXP1kpfq8GymKOFPws2lj4gzon5aQqSp6O7uxtChQ0O/X716NarVKqZPn+7MmzhxInbffXesWrUqVKT19PSgp6fHmd62bVt+RvdB8vT45bHtvNpsxD40Q3S3mmet1ewtgtTiOrNYA0oj2JwN9CPh1seFWe5jd+bbXGlpyat93bp1+OEPf4izzz47dJnNmzejvb0dO++8s2f+iBEjsHnz5tD1Fi1ahK6uLuczduzYvMzuN3Dff0Vto0gasQ/NppH7mLZIr8qmvn4+osi075y7n8SYvk82Gwu9triZ/dMMymxbg7DqpPFcP/3lPtBUkXbRRReBMRb5eemllzzrbNy4ETNnzsQpp5yCuXPn5m7TwoUL0d3d7XxeeeWV3LdBEARBEAQRR1PDnRdccAHmzJkTucz48eOdv1977TUcc8wxOPzww/GTn/wkcr2RI0eit7cXW7du9XjTtmzZgpEjR4au19HRgY6OjkT2E8nIaxzKZr455Zm7VtY3wKLGC027v/1+aKwYMu175uG24jw86WuvxVHouezjHquyktqhm6jRnNsrKU0VacOGDcOwYcMSLbtx40Ycc8wxmDRpEm6++WZoWvTNYdKkSWhra8OKFStw8sknAwDWrl2LDRs2YOrUqXXbTuRDWQVLHK1qd1Yatb95dQDx05dFXJJjFrr/aZ+cAVFXr+gJ3sfL9tsqy7VTtuNCNIaW6DiwceNGTJs2DXvssQe+//3v44033nC+E16xjRs34thjj8XPf/5zTJkyBV1dXTjrrLOwYMECDB06FEOGDMG5556LqVOntmTPToIgspP1Aad6QLfiw7Iemz3HIHd3iCFtqBxiyI93j8uaxi2JZV6+fK0iSnCUaw+LoyVE2vLly7Fu3TqsW7cOY8aM8XwnhpqoVqtYu3Yt3nnnHee7a6+9Fpqm4eSTT0ZPTw9mzJiBG2+8saG2EwRBEER/hgMwcx8Wqn/ItJYQaXPmzInNXdtzzz0DY4N1dnbihhtuwA033FCgdQRB9FX6y4MgioYdg5iHeDnCjkb8IkkpwnPYBws693daQqQRBEEQ/ZsyCua6hGNBgqqMx6m/ls7JAxJpBEEQBJEBEh5E0ZBIIwiCIAiiMKxitvm32R8gkUYQBEEQRGGIEQfybbN/yLSy9icmCIIgCILo15AnLQa3x2j/UO0EQRBEX8d6nvkrIhS3OZ77tvpLR1YSaTG89dZb9l80nAhBEATRd3jrrbfQ1dXVbDOICEikxTB69Gi88sorGDx4MFhJK2Kr2LZtG8aOHYtXXnkFQ4YMabY5hdEf9rM/7CNA+9nXoP0sL5xzvPXWWxg9enRjtgfKScsKibQYNE0LjHLQSgwZMqRlbhz10B/2sz/sI0D72deg/SwnjfSg0bBQ2aGOAwRBEARBECWEPGkEQRAEQRQGt31pebfaHyCR1kfp6OjApZdeio6OjmabUij9YT/7wz4CtJ99DdpPQlBMTlr/gPGG9cElCIIgCKI/ccYZZ+DBX67FHp3vz7Xdv777CE7+whG4/vrrc223bJAnjSAIgiCIwiim40D/8C9RxwGCIAiCIPo03/rWt8AY83wmTpzYbLNiIU8aQRAEQRCFYXnS8u04kMWTtv/+++OBBx5wpiuV8kug8ltIEARBEETrwjg4y7l3J+MwDAPbtm3zzO7o6AjtxFGpVDBy5Mh87SgYCnf2Az760Y9i9913R2dnJ0aNGoXPfvazeO2115ptVq787W9/w1lnnYVx48ZhwIABmDBhAi699FL09vY227Tc+c53voPDDz8cAwcOxM4779xsc3LjhhtuwJ577onOzk4cdthh+MMf/tBsk3LlkUcewUc+8hGMHj0ajDHcddddzTapEBYtWoTJkydj8ODBGD58OGbNmoW1a9c226zcWbx4MQ466CCniO3UqVPxv//7v802q1/x1FNPoaury/NZtGhR6PJ/+ctfMHr0aIwfPx6f/vSnsWHDhgZamw0Saf2AY445Br/+9a+xdu1a/Nd//RfWr1+Pf//3f2+2Wbny0ksvwTRN/PjHP8YLL7yAa6+9FkuWLMHXv/71ZpuWO729vTjllFNwzjnnNNuU3Lj99tuxYMECXHrppXjmmWdw8MEHY8aMGXj99debbVpubN++HQcffDBuuOGGZptSKA8//DDmzZuHJ554AsuXL0e1WsVxxx2H7du3N9u0XBkzZgz+3//7f1i9ejWefvppfPCDH8THPvYxvPDCC802rXSIEhx5fjiAyZMno7u72/NZuHCh0obDDjsMS5cuxb333ovFixfj5Zdfxgc+8AFpfO5yQiU4+iG/+c1vMGvWLPT09KCtra3Z5hTGVVddhcWLF+Ovf/1rs00phKVLl+K8887D1q1bm21K3Rx22GGYPHkyfvSjHwEATNPE2LFjce655+Kiiy5qsnX5wxjDnXfeiVmzZjXblMJ54403MHz4cDz88MM46qijmm1OoQwdOhRXXXUVzjrrrGabUhrOOOMMLP/Vn/Cezsm5trvh3cfwibOPylyCY+vWrdhjjz1wzTXXlPp8kSetn/HPf/4Tt912Gw4//PA+LdAAoLu7G0OHDm22GUQMvb29WL16NaZPn+7M0zQN06dPx6pVq5poGZEH3d3dANCnf4uGYeBXv/oVtm/fjqlTpzbbnNIhOg7k+V+9JTh23nlnvPe978W6dety2stiIJHWT/ja176GnXbaCbvuuis2bNiAu+++u9kmFcq6devwwx/+EGeffXazTSFiePPNN2EYBkaMGOGZP2LECGzevLlJVhF5YJomzjvvPBxxxBE44IADmm1O7jz33HMYNGgQOjo68IUvfAF33nkn9ttvv2abVTrEsFB5fuodc+Dtt9/G+vXrMWrUqHx2siBIpLUoF110UaDmi//z0ksvOct/9atfxR//+Efcf//90HUdp59+Oloh0p12PwFg48aNmDlzJk455RTMnTu3SZanI8t+EkTZmTdvHp5//nn86le/arYphbDPPvtgzZo1ePLJJ3HOOedg9uzZ+NOf/tRsswgFX/nKV/Dwww/jb3/7Gx5//HF8/OMfh67rOO2005ptWiRUgqNFueCCCzBnzpzIZcaPH+/8vdtuu2G33XbDe9/7Xuy7774YO3YsnnjiidK75tPu52uvvYZjjjkGhx9+OH7yk58UbF1+pN3PvsRuu+0GXdexZcsWz/wtW7a0XHd5wmX+/Pn43e9+h0ceeQRjxoxptjmF0N7ejr322gsAMGnSJDz11FO4/vrr8eMf/7jJlpULDg4z5xIcacOdr776Kk477TT84x//wLBhw3DkkUfiiSeewLBhw3K1K29IpLUow4YNy3xxmab1Y+np6cnTpEJIs58bN27EMcccg0mTJuHmm2+GprWOo7ie89nqtLe3Y9KkSVixYoWTSG+aJlasWIH58+c31zgiNZxznHvuubjzzjuxcuVKjBs3rtkmNQzTNFvivtofaVVvLom0Ps6TTz6Jp556CkceeSR22WUXrF+/Ht/85jcxYcKE0nvR0rBx40ZMmzYNe+yxB77//e/jjTfecL7ra96YDRs24J///Cc2bNgAwzCwZs0aAMBee+2FQYMGNde4jCxYsACzZ8/GoYceiilTpuC6667D9u3bccYZZzTbtNx4++23PUnKL7/8MtasWYOhQ4di9913b6Jl+TJv3jwsW7YMd999NwYPHuzkFXZ1dWHAgAFNti4/Fi5ciOOPPx6777473nrrLSxbtgwrV67Efffd12zTSkdZRhxoRUik9XEGDhyI//7v/8all16K7du3Y9SoUZg5cyYuvvji0KrMrcjy5cuxbt06rFu3LhBaaYXcuzRccskluOWWW5zp973vfQCAhx56CNOmTWuSVfVx6qmn4o033sAll1yCzZs345BDDsG9994b6EzQyjz99NM45phjnOkFCxYAAGbPno2lS5c2yar8Wbx4MQAErsWbb745NqTfSrz++us4/fTTsWnTJnR1deGggw7Cfffdhw996EPNNq10kEjLDtVJIwiCIAiiEM444wz8z6/+DyMGHJJru5ve+QM+dfaxmeuktQrkSSMIgiAIokC4XTYj3xb7A62TWU0QBEEQBNGPIE8aQRAEQRCFYWWkGTm32T88aSTSCIIgCIIoDF5AuLPeEQdaBQp3EgRBEARBlBDypBEEQRAEURicFTDiAOsfnjQSaQRBEARBFIYV7KSctCxQuJMgCIIgCKKEkCeNIAiCIIgCoY4DWSFPGkEQBEEQRAkhTxpBEARBEIXBuQmT55yT1k9GtCRPGkEQTeONN97AyJEj8d3vfteZ9/jjj6O9vR0rVqxoomUEQeSFqJOW76d/iDTypBEE0TSGDRuGm266CbNmzcJxxx2HffbZB5/97Gcxf/58HHvssc02jyAIoqmQSCMIoqmccMIJmDt3Lj796U/j0EMPxU477YRFixY12yyCIHKDg+dcggO5d0QoJxTuJAii6Xz/+99HrVbDHXfcgdtuuw0dHR3NNokgCKLpkEgjCKLprF+/Hq+99hpM08Tf/va3ZptDEESOWAOs5/tf/8hIo3AnQRBNpre3F5/5zGdw6qmnYp999sHnPvc5PPfccxg+fHizTSMIIgdogPXskCeNIIim8o1vfAPd3d34wQ9+gK997Wt473vfizPPPLPZZhEEQTQdEmkEQTSNlStX4rrrrsOtt96KIUOGQNM03Hrrrfj973+PxYsXN9s8giBygYNzI99PP+k4QOFOgiCaxrRp01CtVj3z9txzT3R3dzfJIoIgiPJAIo0gCIIgiMLgdteBvNvsD5BIIwiCIAiiMKwRAvKuk9Y/RBrlpBEEQRAEQZQQ8qQRBEEQBFEcnIPznMOdNMA6QRAEQRAE0SzIk0YQBEEQRGFQx4HskEgjCIIgCKIwuF0nLe9W+wMU7iQIgiAIgigh5EkjCIIgCKJAaOzOrJBIIwiCIAiiMDj17swMhTsJgiAIgiBKCHnSCIIgCIIoEBpxICvkSSMIgiAIgigh5EkjCIIgCKIwrBIcVCctCyTSCIIgCIIojgI6DoA6DhAEQRAEQRDNgjxpBEEQBEEUBg0LlR3ypBEEQRAEQZQQ8qQRBEEQBFEY1HEgOyTSCIIgCIIoDk4DrGeFwp0EQRAEQRAlhDxpBEEQBEEUBi9ggPX+Eu4kTxpBEARBEEQJIU8aQRAEQRAFQsVss0IijSAIgiCIwuBFjDhA4U6CIAiCIAiiWZAnjSAIgiCIAqGOA1khTxpBEARBEEQJIU8aQRAEQRCFUcSIA9RxgCAIgiAIol4K6DhA4U6CIAiCIAiiaZAnjSAIgiCIAuFAzh0H+ksJDhJpBEEQBEEUBuWkZYfCnQRBEARBECWEPGkEQRAEQRRIEXXS+gfkSSMIgiAIgigh5EkjCIIgCKIwaOzO7JBIIwiCIAiiQEwARgFt9n0o3EkQBEEQBFFCyJNGEARBEESBFDDiAJXgIAiCIAiCIJoFedIIgiAIgigQGnEgKyTSCIIgCIIoDl6ESOsfULiTIAiCIAiihJAnjSAIgiCIwuDS//Nuta9DnjSCIAiCIIgSQp40giAIgiAKhDoOZIU8aQRBEARBFAi3Og/k+cnIDTfcgD333BOdnZ047LDD8Ic//CHH/cwfEmkEQRAEQfR5br/9dixYsACXXnopnnnmGRx88MGYMWMGXn/99WabFgqJNIIgCIIgCoSDw8z1kyXcec0112Du3Lk444wzsN9++2HJkiUYOHAgbrrppvx3OScoJ40gCIIgiELYc889YQmqvAdYB8aMGYNt27Z55nV0dKCjoyOwbG9vL1avXo2FCxc68zRNw/Tp07Fq1arcbcsLEmkEQRAEQRTCN7/5TZx//vmFtH311Vejq6vLM+/SSy/Ft771rcCyb775JgzDwIgRIzzzR4wYgZdeeqkQ+/KARBpBEARBEIWgaRqGDBlSSNtf//rXccEFF3jmqbxorQyJNIIgCIIgWo6w0KaK3XbbDbquY8uWLZ75W7ZswciRI4swLxeo4wBBEARBEH2a9vZ2TJo0CStWrHDmmaaJFStWYOrUqU20LBrypBEEQRAE0edZsGABZs+ejUMPPRRTpkzBddddh+3bt+OMM85otmmhkEgjCIIgCKLPc+qpp+KNN97AJZdcgs2bN+OQQw7BvffeG+hMUCYY53WU7iUIgiAIgiAKgXLSCIIgCIIgSgiJNIIgCIIgiBJCIo0gCIIgCKKEkEgjCIIgCIIoISTSCIIgCIIgSgiJNIIgCIIgiBJCIo0gCIIgCKKEkEgjCIIgCIIoISTSCIIgCIIgSgiJNIIgCIIgiBJCIo0gCIIgCKKE/H+5zVtWczEAtwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# mode_src_tm = mode_src.copy(update={\"mode_index\": 1})\n",
    "mode_src_tm = td.ModeSource(\n",
    "    center=(-0.5 * length - src_gap, 0, 0),\n",
    "    size=(0, td.inf, td.inf),\n",
    "    source_time=source_time,\n",
    "    num_freqs=5,\n",
    "    direction=\"+\",\n",
    "    mode_spec=strip.mode_spec,\n",
    "    mode_index=1,\n",
    ")\n",
    "\n",
    "sim_tm = sim.copy(update={\"sources\": [mode_src_tm]})\n",
    "data_tm = td.web.run(sim_tm, task_name=\"untapered_tm\", verbose=True)\n",
    "_ = data_tm.plot_field(\"field\", \"Ez\", val=\"abs\", f=f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "85581ed8-35eb-4177-aaee-e8ab71c8bef8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rib_transmission = data_tm[\"rib\"].amps.sel(direction=\"+\", mode_index=1)\n",
    "strip_reflection = data_tm[\"strip\"].amps.sel(direction=\"-\", mode_index=1)\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 1)\n",
    "ax.plot(rib.wavelength, 20 * np.log10(rib_transmission.abs.values), '.-', label=\"Transmission\")\n",
    "ax.plot(rib.wavelength, 20 * np.log10(strip_reflection.abs.values), '.-', label=\"Reflection\")\n",
    "ax.set(\n",
    "    xlabel=\"Wavelength (μm)\",\n",
    "    ylabel=\"Power (dB)\",\n",
    "    ylim=(None, 0),\n",
    ")\n",
    "ax.legend()\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1364a15-ac03-41e0-85db-8561b38bec94",
   "metadata": {},
   "source": [
    "## Waveguide Bends\n",
    "\n",
    "Waveguide bends can be modeled by setting the appropriate attributes in the mode specification."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a4dbcc34-3e9b-4217-9513-4c4086cdb8eb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Complex effective index: 2.53244+4.25036e-05j\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bend = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    mode_spec=td.ModeSpec(\n",
    "        num_modes=1,\n",
    "        bend_radius=5,\n",
    "        bend_axis=1,\n",
    "        num_pml=(12, 12),\n",
    "        precision=\"double\",\n",
    "    ),\n",
    ")\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 1, tight_layout=True)\n",
    "bend.plot_field(\"Ey\", mode_index=0, ax=ax)\n",
    "\n",
    "print(f\"Complex effective index: {bend.n_complex.item():g}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d5b2272-8b82-449d-ad8d-e85e143ca704",
   "metadata": {},
   "source": [
    "Let's create a helper function to convert the imaginary part of the complex effective index into loss in dB/cm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "65590a66-a6f3-49fd-9389-eab3a4db0ca7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Curvature loss: 15.0 dB/cm\n"
     ]
    }
   ],
   "source": [
    "def loss_dB_per_cm(wg):\n",
    "    alpha = 2 * np.pi * wg.n_complex.imag / wg.wavelength  # µm⁻¹\n",
    "    return 1e4 * 20 * np.log10(np.e) * alpha  # dB/cm\n",
    "\n",
    "print(f\"Curvature loss: {loss_dB_per_cm(bend).item():.1f} dB/cm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54687924-2d13-4432-ab17-a3d2463a2d50",
   "metadata": {},
   "source": [
    "We can put it all together to plot loss as a function of bend radius:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f29cbfb2-6039-4552-a948-10fe91ef96bd",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "radii = 5 * 10 ** np.linspace(0, 1, 10)\n",
    "bends = [\n",
    "    waveguide.RectangularDielectric(\n",
    "        wavelength=1.55,\n",
    "        core_width=0.5,\n",
    "        core_thickness=0.22,\n",
    "        core_medium=si,\n",
    "        clad_medium=sio2,\n",
    "        mode_spec=td.ModeSpec(\n",
    "            num_modes=1,\n",
    "            bend_radius=radius,\n",
    "            bend_axis=1,\n",
    "            num_pml=(12, 12),\n",
    "            precision=\"double\",\n",
    "        ),\n",
    "    ) for radius in radii\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "54e29eef-6764-41ce-b07c-fd6745df4dab",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = pyplot.subplots(1, 2, figsize=(11, 4), tight_layout=True)\n",
    "\n",
    "ax[0].plot(radii, [wg.n_eff.item() for wg in bends], \".-\")\n",
    "ax[0].set_xlabel(\"Bend radius (μm)\")\n",
    "ax[0].set_ylabel(\"Effective index\")\n",
    "ax[0].grid()\n",
    "\n",
    "ax[1].plot(radii, [loss_dB_per_cm(wg).item() for wg in bends], \".-\")\n",
    "ax[1].set_xlabel(\"Bend radius (μm)\")\n",
    "ax[1].set_ylabel(\"Curvature loss (dB/cm)\")\n",
    "ax[1].grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71f0b717-9c08-4bd2-987d-54bce7b8daaf",
   "metadata": {},
   "source": [
    "## Coupled Waveguides\n",
    "\n",
    "The `RectangularDielectric` class supports modeling coupled waveiguides by passing an array of core widths (and a corresponding array of gaps between adjacent cores)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "743540d2-d901-4bfd-bbf0-0d5f5918d9f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coupled = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=(0.5, 0.5),\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    gap = 0.15,\n",
    "    sidewall_angle=np.pi / 18,\n",
    "    mode_spec=td.ModeSpec(\n",
    "        num_modes=4,\n",
    "        precision=\"double\",\n",
    "    ),\n",
    ")\n",
    "\n",
    "_ = coupled.plot_structures(x=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "6672ecb2-9124-4b23-ba79-5d0a64b9d2cd",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective indices: [[2.58790025 2.55348271 1.98156471 1.85005072]]\n",
      "Effective mode areas (µm²): [[0.36718224 0.35510481 0.60730776 0.58347975]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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wdoVgTUVGr+HxLRhREmuLcbasrAzDhw/Hf/7zHyxYsABvvPEG1q1bh7/+9a8AENZzq7mxsrkaet8nnHACduzYgRdeeAFnnHEGXnnlFZxxxhmYN29e0PmTJ0/Gxo0b8csvv+Cnn37C5s2b620dP9bYb/YagefLsoy8vLwGY/+CBQvqvW59ohX/GfujZ8OGDVCqSiAWDACg3ttKHU6FfHAb9uzZE9/CJTi2kFPCycnJwXnnnYeVK1fiiiuuwCeffILFixc3eZ7FYkHPnj2xa9euoP1du3YFUNdyG2jHjh1Bj1euXIna2lrjcY8ePSJ4B5E77bTTcNppp+Hee+/FqlWrcMUVV+CFF14wup9F+tnEkj7zbmZmJkaNGtXosS1RU92+fXtkZmbi+++/b9bxu3btQm5ublgLAiWerVu3QinbDUufugl4BEGAWDgI/p83oLy8PKh7LBE1T1uMsxs2bMDhw4fx6quvYtiwYcb+0PdihpkY1tj7TktLw2WXXYbLLrsMHo8HF198Me69917MmTPH6Ip9+eWXY/bs2fjnP/+J2tpaWK1WXHbZZRGXPRp69uyJ9957D6effnqTCXVLxH/9fuP7779vcg16n8+HvXv34sILLzzm16VwsizjrHMvgZh/EgRL3fABITUXQlZXdBtwFuQjO+NYwsTGFnJKSFdddRW2bduGP/7xj5AkCZdffnmzzisqKsKXX34ZtK+wsBADBgzAs88+G9Qlbd26ddi2bVvQsaeffjpGjRplbLG6UTh69GhYLfWAAQMAIGxJskg/m1gZNGgQevbsiQcffDCodV938OBB4/e0tDQAOKbxRaIoYvz48XjjjTfC/vZAeO3/V199FTQjLSWuE08/F2K74yDYM4L2CxkdIKTkIKc3W8mJItXW4qzeuhsYEzweDx5//PGIr2kmhjX0vg8fPhx0nM1mQ9++faEoStCcMrm5uRg3bhyef/55rFy5EmPHjk241t5LL70Ufr8f99xzT9hzPp8v6HNKS0s75rHFo0ePRkZGBhYuXAiXyxX0XGjs37ZtG1wul+lZ8Kl5XnjhBSi+Wojtw+eMkAoHQSnbzWXQGsEWcoqpd955J2ziFEBdJiQwKJ933nlo164dVq9ejXHjxjU4HinURRddhOeeew7//e9/cfzxxxv7Fy5ciPPOOw9nnHEGrrnmGhw5csRY97O+pPFYNPc9Bnr22Wfx+OOP47e//S169uyJyspK/OMf/0BmZibOPffcoGMj/WxiRRRFPPXUUxg3bhz69euHq6++Gh07dsS+ffvwwQcfIDMzE2+88QYANXkHgDvvvNPoQnnBBRcYNznNdd999+Hdd9/F8OHDce211+KEE07Ar7/+itWrV+Pjjz82Js07cOAAvv32W2MpN0pcX3zxBZTK/ZBOmBD2nNpK/hv4f3oXBw4cSLh/A0TxxDhbf5wdOnQosrOzMWXKFNx0000QBAHPPfdcxF3QAbWFNisrC8uWLUNGRgbS0tIwZMiQZo1/1o0ePRoFBQU4/fTTkZ+fjx9++AGPPfYYzjvvvKAJVAG12/oll1wCAPUmvfE2fPhwXHfddVi4cCG2bNmC0aNHw2q14scff8Tq1avxyCOPGOUfNGgQli5dir/85S/o1asX8vLycNZZZ5l6vczMTDz88MOYPn06Tj31VEyaNAnZ2dn4z3/+g5qaGjz77LPGsevWrUNqairOOeecFn3PBLhcLlwx9TpIhb+BIIanloItHWL7E/CbM8+Dv+IXjuOvBxNyiqnQta51y5cvDwqiNpsNl112GR5//PFmTzIDABdccAFyc3Px0ksv4a677jL2jx07FqtXr8Zdd92FOXPmoGfPnli+fDlef/11bNiwIeL3U5/mvsdAw4cPx+eff44XXngBpaWlcDqdGDx4MFauXBkW2CP9bGJpxIgR2LRpE+655x489thjqKqqQkFBAYYMGYLrrrvOOO7UU0/FPffcg2XLlmHt2rWQZRm7du0ynZB37NgRn332Gf785z9j5cqVqKioQMeOHTFu3Ligib9effVV2O32oJlmKTENOXs8xNwTIFjrn7hNTMuHnF6Iwv4j4T+wNcalI0pcjLP1x9l27drhzTffxK233oq77roL2dnZuPLKK3H22WdjzJgxEZXDarXi2WefxZw5c3D99dfD5/Nh+fLlphLy6667DitXrsRDDz2EqqoqdOrUCTfddFPQZ6u74IILkJ2dDVmWE7br9bJlyzBo0CA88cQT+NOf/gSLxYJu3brhyiuvDJqobu7cufj555+xaNEiVFZWYvjw4aYTckCdET4vLw/3338/7rnnHlitVvTp0we33HJL0HGrV6/GxRdfHFbJQccurecwQLJCyO7Z4DFi3knw/fAy/v3vf2Ps2LExLF1yEJRjqRokiqJbbrkFTz/9NEpKSkzNpnzPPfdg+fLl+PHHH5tcMmPq1KnYsGEDdu/efYylja1IP5u2buDAgRgxYgQefvjheBeFGvHBBx/grFFjYel7CQSLvcHjlNoj8P33Tfy8+39hswITUdMYZ5OLz+dDhw4dcMEFF+Dpp5+Od3GSxpYtW/Cb3/wGX3/9tTEckFrGkSNH0C6vEFLXERAzOzZ6rP/AVshH/gtf1aEmvzfaGo4hp4Tkcrnw/PPPY8KECaYTzltuuQVVVVV44YUXolS6+DqWz6YtW7t2LX788UfMmTMn3kWhRiiKgrPPvwxiXv9Gk3EAEFJyIDi7otvAxicPJKJwjLPJZ82aNTh48CAmT54c76Iklfvvvx+XXHIJk/EoaN9nGITU3CaTcQAQc/sAsg/27pz/JRS7rFNCOXDgAN577z28/PLLOHz4MH7/+9+bvkZ6erqptS6TRUt8Nm3Z2LFjW3wcI7W8N954A4qnElI9E8PURyocCN/2NdixY0eTSzYREeNsMvrss8/w7bff4p577sHAgQMxfDgTGjNYcRQdu3btgnxoOyzHn9+s4wVRglQ4CP79X6C6utr08MTWjAk5JZRt27bhiiuuQF5eHv7+97+zNjMAPxtq7WRZxkWXTYGYfzIEydqscwR7JsScnjjhtLGQj0a+fBFRW8FYknyWLl2K559/HgMGDEBxcXG8i0MEAOg5aBSE7O4QUnKafY6Q1R3Cwa3IPG4Y/Pu/imLpkgvHkBMRUUJYu3Ytxl1wMSx9J0IQmz++TPFUw/fDy9i963/GeshEREQUPX379sV/3Z0gZnYydZ7/wPf4bVEXvPzyy1EqWfJhCzkRESWEiooKCLZ0U8k4AAi2NECQUFlZGaWSERERUShBlMzHbIFTmIViQt4EWZaxf/9+ZGRkcN08IqIAiqKgsrISHTp0gCi2UIAVBNPBnQhgvCYiakhU4jXU5Np0zGZCHoYJeRP279+Pzp07x7sYREQJa+/evejUyVyXtcZElJAzAWvzGK+JiBrX0vEaESTkQgtWCLQWTMibkJGRAQD4cedO43ciIgIqKytxXK9eLfzdyBZyioz+/+HOH39kvKaEoLCikBJEdOK1mlyb77LOfxehmJA3Qf+fJiMjA5mZmXEuDRFR4mnR4Mou6xQhxmtKNEzIKdG0dDIsiCIEiV3WjxUTciIiShiCAPPBnYiIiGJOECWI7LJ+zJiQExFRAhFMB3ciIiKKvUgmdWOX9XBMyImIKIGwyzoREVEy4CzrLYMJORERJQxBiHCWdbDGnYiIKKZEwXQXdLaQh2NCTkRECcR8cCciIqLYYwt5y2BCTkREiSPSFnJWuBMREcWUIEocQ94CmJATEVEC4RhyIiKipBDRpG5sIQ/FhJyIiBJHhOuQs76diIgotiJah5zD0sIwISciIiIiIiJTBJHLnrUEJuRERJQwBMB8bTsRERHFHCd1axlMyImIKHFE2GWdndaJiIhiSxBFiBxDfsyYkBMRUQLhpG5ERETJQBA4y3pLYEJOREQJQxBguradiIiIYi+SMeTssh6OCTkRESUQtpATERElhUiWPRNFAHJ0ypOkmJATEVHiiHQMOXvAERERxVQkk7qxy3o4JuRERJRQ2EJORESU+CLvsu6PSnmSFRNyIiJKIJxlnYiIKCmIoumlSjnLerik+kQ+/PBDXHDBBejQoQMEQcCaNWsaPX7Dhg0QBCFsKykpiU2BiYjIFEHrsm52o8TCeE1E1PpFFK/FpEo/YyKpWsirq6tx8skn45prrsHFF1/c7PN27NiBzMxM43FeXl40ikdERMdKgOnadko8jNdERETNk1QJ+bhx4zBu3DjT5+Xl5SErK6tZx7rdbrjdbuNxRUWF6dcjIqJIRX+W9aVLl2Lp0qXYvXs3AKBfv36YO3euEV9cLhduvfVWvPDCC3C73RgzZgwef/xx5OfnR7VcrQnjNRFR68dJ3VpGm+gzMGDAABQWFuKcc87BJ5980uixCxcuhNPpNLbOnTvHqJRERKQn5NHsst6pUyfcf//9+Oqrr/Dll1/irLPOwkUXXYStW7cCAG655Ra88cYbWL16NTZu3Ij9+/ebauWlyDFeExElDz0hNxWvOYY8TKv+RAoLC7Fs2TK88soreOWVV9C5c2eMGDECX3/9dYPnzJkzB+Xl5ca2d+/eGJaYiKhtE4QIx6SZcMEFF+Dcc8/Fcccdh+OPPx733nsv0tPTsXnzZpSXl+Ppp5/GQw89hLPOOguDBg3C8uXL8emnn2Lz5s1RetfEeE1ElHwEUYBocmMDebik6rJuVu/evdG7d2/j8dChQ/HTTz/h4YcfxnPPPVfvOXa7HXa7PVZFJCKiIGrANn+aAI/HE9ZtuanvdL/fj9WrV6O6uhpFRUX46quv4PV6MWrUKOOYPn36oEuXLti0aRNOO+0082WjJjFeExElH7US3VzMZpf1cK26hbw+gwcPxs6dO+NdDCIiamFPPfVUUBdmp9OJhQsX1nvsd999h/T0dNjtdlx//fV47bXX0LdvX5SUlMBms4WNY87Pz+eM3zHGeE1ElODqWR2jORsFa9Ut5PXZsmULCgsL410MIiKqTwS17dppmD59Ou6///6g/Q21oPbu3RtbtmxBeXk5Xn75ZUyZMgUbN26MpMQUJYzXRESJTRTM92pjPh4uqRLyqqqqoNryXbt2YcuWLcjJyUGXLl0wZ84c7Nu3DytWrAAALF68GN27d0e/fv3gcrnw1FNP4f3338e7774br7dARERNiLT23GazBS2Z1dSxvXr1AgAMGjQIX3zxBR555BFcdtll8Hg8KCsrC2olLy0tRUFBQUTlaosYr4mIWj9BFMxXojMjD5NUCfmXX36JkSNHGo9nz54NAJgyZQqKi4vx66+/Ys+ePcbzHo8Ht956K/bt24fU1FScdNJJeO+994KuQUREiUMAIhtDfoxkWYbb7cagQYNgtVqxfv16TJgwAYC6NvaePXtQVFQU83IlK8ZrIqI2IKIx5FEqSxJLqoR8xIgRUBSlweeLi4uDHt9222247bbbolwqIiJqMUIEte0mzZkzB+PGjUOXLl1QWVmJVatWYcOGDfj3v/8Np9OJadOmYfbs2cjJyUFmZiZuvPFGFBUVcUI3ExiviYhaP1EQIJrMsDmGPFybm9SNiIgSm94FzsxmxoEDBzB58mT07t0bZ599Nr744gv8+9//xjnnnAMAePjhh3H++edjwoQJGDZsGAoKCvDqq69G460SERElrYjitcl8fOHChTj11FORkZGBvLw8jB8/Hjt27Ag6xuVyYebMmWjXrh3S09MxYcIElJaWtuA7ja6kaiEnIqLWTRBgurbdrKeffrrR5x0OB5YsWYIlS5ZEtRxERERJLQbLnm3cuBEzZ87EqaeeCp/Phz/96U8YPXo0tm3bhrS0NADALbfcgrfeegurV6+G0+nErFmzcPHFF+OTTz4x9VrxwoSciIgSSrS7rBMREdGxi8Us62vXrg16XFxcjLy8PHz11VcYNmwYysvL8fTTT2PVqlU466yzAADLly/HCSecgM2bNyfFcDMm5ERElFCYkBMRESUBERBMDoAWBHUi1YqKiqD9dru9waVKA5WXlwMAcnJyAABfffUVvF4vRo0aZRzTp08fdOnSBZs2bUqKhJxjyImIKGEIWm272Y2IiIhiSxAE0xsEAdu3b4fT6QzaFi5c2OTrybKMm2++Gaeffjr69+8PACgpKYHNZgtaqhQA8vPzUVJSEo233eLYQk5ERAnFbG27elKLF4OIiIgaEVmXdQF9+vTB5s2bg/Y3p3V85syZ+P777/Hxxx+bes1Ex4SciIgSh8AlUYiIiJJChOuQi6KIzMxMU+fNmjULb775Jj788EN06tTJ2F9QUACPx4OysrKgVvLS0lIUFBSYeo14YZd1IiJKGALALutERERJILJlz8zFbEVRMGvWLLz22mt4//330b1796DnBw0aBKvVivXr1xv7duzYgT179qCoqKhF3me0sYWciIgSCid1IyIiSnyCIJheqtRsa/DMmTOxatUqvP7668jIyDDGhTudTqSkpMDpdGLatGmYPXs2cnJykJmZiRtvvBFFRUVJMaEbwISciIgSiSBElJAzhSciIootIYIu6zB5/NKlSwEAI0aMCNq/fPlyTJ06FQDw8MMPQxRFTJgwAW63G2PGjMHjjz9urlxxxISciIiIiIiITDG6oZs5x2T+rihKk8c4HA4sWbIES5YsMXfxBMGEnIiIEorZ7m9EREQUe0KEs6xTMCbkRESUMCLq/kZEREQxZ6wtTseECTkRESUUJuRERESJT61EN38OBWNCTkRECSWyZcwY4YmIiGJJEM3HbFa6h2NCTkRECYPd34iIiJKDEMHKKIzx4ZiQExFRQjHb/U09qcWLQURERI1gJXrLYEJORESJQ4i0yzoRERHFEmdZbxlMyImIKKFwfBkREVHiE0TzMZv5eDgm5ERElDAEsPaciIgoGYiCAMlkQs5ecOGYkBMRUeKIoPsbERERxZ4omk/IBQGAEp3yJCsm5ERElFDYZZ2IiCjxiQLMt5ALAhPyEEzIiYgoYQgRBHeAk6wTERHFmhRJl3UG7DBMyImIKGEIiCwhJyIiotiKrMs6Y3woJuRERJRQmJATERElPkkQYImkyzoFEeNdADM+/PBDXHDBBejQoQMEQcCaNWuaPGfDhg34zW9+A7vdjl69eqG4uDjq5SQiImrLGK+JiFo/UVQr0c1srHMPl1QJeXV1NU4++WQsWbKkWcfv2rUL5513HkaOHIktW7bg5ptvxvTp0/Hvf/87yiUlIqJICIK5wK5vHESeWBiviYhaPzGCmM0W8nBJ1WV93LhxGDduXLOPX7ZsGbp3746//e1vAIATTjgBH3/8MR5++GGMGTMmWsUkIqIIcQx568B4TUTU+qljyM2173IllXBJ1UJu1qZNmzBq1KigfWPGjMGmTZsaPMftdqOioiJoIyKi2BAEwCIKpjcz4X3hwoU49dRTkZGRgby8PIwfPx47duwIOsblcmHmzJlo164d0tPTMWHCBJSWlrbsmyUD4zURUfKJrIU83qVOPK06IS8pKUF+fn7Qvvz8fFRUVKC2trbecxYuXAin02lsnTt3jkVRiYhIE1GXdRM2btyImTNnYvPmzVi3bh28Xi9Gjx6N6upq45hbbrkFb7zxBlavXo2NGzdi//79uPjii1v6rZKG8ZqIKPmwy3rLSKou67EwZ84czJ4923hcUVHBIE9EFCNCBGua6jweT1grqd1uh91uD9q3du3aoMfFxcXIy8vDV199hWHDhqG8vBxPP/00Vq1ahbPOOgsAsHz5cpxwwgnYvHkzTjvttIjKRy2L8ZqIKL4iqRRnPh6uVbeQFxQUhHUxLC0tRWZmJlJSUuo9x263IzMzM2gjIqLYUMeQi6Y3AHjqqaeCWkydTicWLlzY5GuWl5cDAHJycgAAX331Fbxeb1AX6j59+qBLly6NdqGmyDFeExElH1FQlz4zs4mchTVMq24hLyoqwttvvx20b926dSgqKopTiYiIqFFCpJO6CZg+fTruv//+oL2hreOhZFnGzTffjNNPPx39+/cHoHafttlsyMrKCjo2Pz8fJSUlEZSNmsJ4TUSUfMQIerWJHEQeJqkS8qqqKuzcudN4vGvXLmzZsgU5OTno0qUL5syZg3379mHFihUAgOuvvx6PPfYYbrvtNlxzzTV4//338dJLL+Gtt96K11sgIqJGHMss6zabzXQr6cyZM/H999/j448/jug1qX6M10RErZ8YQZd15uPhkioh//LLLzFy5EjjsT52bMqUKSguLsavv/6KPXv2GM93794db731Fm655RY88sgj6NSpE5566ikuoUJElKAERDaGPJL4PmvWLLz55pv48MMP0alTJ2N/QUEBPB4PysrKglrJS0tLUVBQEMErtT2M10RErZ8kqCudmMFJ3cIlVUI+YsQIKIrS4PPFxcX1nvPNN99EsVRERNRitPFokZzXXIqi4MYbb8Rrr72GDRs2oHv37kHPDxo0CFarFevXr8eECRMAADt27MCePXvYhbqZGK+JiIiaJ6kSciIiat2Opct6c82cOROrVq3C66+/joyMDGNcuNPpREpKCpxOJ6ZNm4bZs2cjJycHmZmZuPHGG1FUVMQZ1omIiDRiBPO+sIE8HBNyIiJKGELEk7o139KlSwGoLbKBli9fjqlTpwIAHn74YYiiiAkTJsDtdmPMmDF4/PHHo1ouIiKiZBLZGHJm5KGYkBMRUQIxPx7NrMa6UuscDgeWLFmCJUuWRLUsREREySqiWdaZj4dhQk5ERAkj0i7rjO9ERESxJYmRdFlnxA7FhJyIiIiIiIhMiayFnAl5KCbkRESUMGIxhpyIiIiOHdchbxlMyImIKKEwISciIkp8kbSQC4zxYZiQExFRwmALORERUXIQIxhDzhAfjgk5ERElDAHma9uJiIgo9jiGvGUwISciosQRaQs54zsREVFMSZF0WWe8DsOEnIiIEgaXPSMiIkoOoqAm5abOYcQOI8a7AETJSlHa3kYUbfoYcrMbEbURihyfLZZvkTGekoQgCBBNbmZbyD/88ENccMEF6NChAwRBwJo1a4KeVxQFc+fORWFhIVJSUjBq1Cj8+OOPLfcmY4AJORERJRDzyTgTciIiothTW8jNbWZDdnV1NU4++WQsWbKk3ucXLVqEv//971i2bBk+++wzpKWlYcyYMXC5XC3wDmODXdaJiChhRNplnYiIiGJLFASIpseQC5BlGRUVFUH77XY77HZ72PHjxo3DuHHj6r2WoihYvHgx7rrrLlx00UUAgBUrViA/Px9r1qzB5Zdfbqps8cIWciIiShiCNh7N7MZR5ERERLElRhCvRQjYvn07nE5n0LZw4ULTr79r1y6UlJRg1KhRxj6n04khQ4Zg06ZNLflWo4ot5ERElFC4JAoREVHiE2A+ZgsC0KdPH2zevDlof32t400pKSkBAOTn5wftz8/PN55LBkzIiYgoYQhQx5hFch4RERHFjj4u3AwRgCiKyMzMjEqZkhETcmpTWmIWUbkNT0XaEktVsPGTGiXA9Hg0IkpiJmcwF2I847lBkaEIjYz0bOy50Es1cBsR7/sLMzGesZwAQBAjG0PeUgoKCgAApaWlKCwsNPaXlpZiwIABLfY60cYx5ERElDAEmB+PZnYNVCIiIjp2AqK/7FljunfvjoKCAqxfv97YV1FRgc8++wxFRUUt90JRxhZyIiIiIiIiMiWSLutmE/Kqqirs3LnTeLxr1y5s2bIFOTk56NKlC26++Wb85S9/wXHHHYfu3bvjz3/+Mzp06IDx48ebe6E4YkJOREQJhZO6ERERJT5Ba/U2w+zwxy+//BIjR440Hs+ePRsAMGXKFBQXF+O2225DdXU1rr32WpSVleGMM87A2rVr4XA4TL1OPDEhJyKihBHppG6c1Y2IiCi2RAGQTI8hN/caI0aMgNLI/AqCIGDBggVYsGCBuQsnECbkRESUMARO6kZERJQUxAhayFtyUrfWggk5tRpmJidtzkymTR0ht6HJ1vX8yN9YDWWzriM06+/E7+q2jV3WiVoJEzOiNzh7emPXaCygHOts7KGzpgtCcBkDnlcEMfj16plxPbSogfchoe8i8P6isZZBMxpKggLrPwNjfEPfwvr3M2M5AVoLeQTLnlEwJuRERJQwuA45ERFRctBnWTd1DgN2mKSrpFiyZAm6desGh8OBIUOG4PPPP2/w2OLiYgiCELQl0wB/IqK2x/wSKmxRT1yM2URErZcoqmPIzWyM2eGSKiF/8cUXMXv2bMybNw9ff/01Tj75ZIwZMwYHDhxo8JzMzEz8+uuvxvbzzz/HsMRERGSGIJgP7mYnlKHYYMwmImrdRMH8xnw8XFIl5A899BBmzJiBq6++Gn379sWyZcuQmpqKZ555psFzBEFAQUGBseXn58ewxEREZBZbyFsHxmwiotZNhABJMLeZXfasLUiahNzj8eCrr77CqFGjjH2iKGLUqFHYtGlTg+dVVVWha9eu6Ny5My666CJs3bq10ddxu92oqKgI2iixKEr9WyBZUerd/NqmAEGbXwnefLICf8jm9Qdv+n5fG9gaeu+Bm09Wwj7H8M+5/r+LvjX1N26huW0ogeljyM1uZn344Ye44IIL0KFDBwiCgDVr1gQ9rygK5s6di8LCQqSkpGDUqFH48ccfW+Q9tgWxiNmM1wlIkYO3EIIih2+yD4LsCz9X9te7CX5v3Sb7IPg9dZvPVbeFPo50M65f97phZZJ9wRO+hbx3PXYF34sExMuQOOuTFXj86uaVAa8M43EkW+D5gbE99HWD4noDsVy/j2oqjuvvmzG8dYukAp116OGSJiE/dOgQ/H5/WG15fn4+SkpK6j2nd+/eeOaZZ/D666/j+eefhyzLGDp0KH755ZcGX2fhwoVwOp3G1rlz5xZ9H0RE1LhYtJBXV1fj5JNPxpIlS+p9ftGiRfj73/+OZcuW4bPPPkNaWhrGjBkDl8t1rG+vTYhFzGa8JiKKL3UdcnMbE/JwrXqW9aKiIhQVFRmPhw4dihNOOAFPPPEE7rnnnnrPmTNnDmbPnm08rqioYJAnIooRfQx5JDweT1grqd1uh91uDzt23LhxGDduXL3XURQFixcvxl133YWLLroIALBixQrk5+djzZo1uPzyyyMqHzXObMxmvCYiii8hknXI2WU9TNIk5Lm5uZAkCaWlpUH7S0tLUVBQ0KxrWK1WDBw4EDt37mzwmIZu3ijx1be2uBL0fMD+kGP155pzfGgnvIa6YOnnm8ktWqrWsLndwppbRr1coV1qAtc1FQX1hQMvpQhNHK/vN8qjaM/xy7otiyQfFwA89dRTWLp0adD+efPmYf78+aautWvXLpSUlAR1t3Y6nRgyZAg2bdrEhLwZYhGzGa8TX4NriwN13br1gBVyrBDa7d04XgZkuZHjwq/XaDlCi6WvIW78FIzHimTRdonq89oxiiACggJBUF9HEcNvr9Vu3noR1d/1UC0r6vN1Xdvr7jv0kpvp7h0aQkUo9cbf0NiuH6PHc0D9bg2M5UHH6PsCXivwXoyxvPVT1yE393fmPKzhkqbLus1mw6BBg7B+/XpjnyzLWL9+fVCNemP8fj++++47FBYWRquYRER0DIQIJojRbwamT5+O8vLyoG3OnDmmy6B3qTbT3ZqCMWYTEbV+kY0hZ0YeKmlayAFg9uzZmDJlCk455RQMHjwYixcvRnV1Na6++moAwOTJk9GxY0csXLgQALBgwQKcdtpp6NWrF8rKyvDAAw/g559/xvTp0+P5NoiIqAGCEHmris1mQ2ZmZguXiCLFmE1E1LrpY8jNnkPBkiohv+yyy3Dw4EHMnTsXJSUlGDBgANauXWu0YuzZsweiWPd/xdGjRzFjxgyUlJQgOzsbgwYNwqeffoq+ffvG6y0QEVETzAZ3AGjJIWl6l+rS0tKg1tnS0lIMGDCg5V6olWPMJiJq3SIbQ06hkiohB4BZs2Zh1qxZ9T63YcOGoMcPP/wwHn744RiUiqKlqTFTQUtlBe0PvY4StF+p5zhFUYLGhysKgsd7hZQpbHmPxotqCP0iivYYq6bG1jdGL5lexvDxZo2PRfMrIePMFMV47FfqH4sWWubQzyf07bDnE7W07t27o6CgAOvXrzcS8IqKCnz22We44YYb4lu4JMOY3YqZGJdd7zmyH0DA+O7Qn/rv2nhxY6y4ohjHCIHLpGnHG9eT5bDx5M0ZS26M/9aCiz5uHKIF8OvPiYAo1Y0pFy3qGHPtXEGR68aiQ1/uTF3eDNCWEtOWPgPU/TJCn9eeC71/aUYA1+OiXrkpQoAg6HO0BMd2QQiP6cH7gmO5oBUgcFx54EScTYXk+srPOJ68BMH8349/73BJl5ATEVHrJSA2EwFVVVUFTRa2a9cubNmyBTk5OejSpQtuvvlm/OUvf8Fxxx2H7t27489//jM6dOiA8ePHR71sREREyUCEWuFjBmdZD8eEnIiIEorZGVsj8eWXX2LkyJHGY335rClTpqC4uBi33XYbqqurce2116KsrAxnnHEG1q5dC4fDEfWyERERJQu2eB87JuSUdJrTTT20i7p+bGgX9MCuU6HLjKhd1sO7j8naq/pDVmyRG+gIHlpzaHTtNnYrUfkyC31vofuApstcV1b1OCmk67okKEHd2UUEdkNX35feJU9/Tn9FIaBAete3+rqwh3a55zIqrVsk49EiMWLEiLDlD0PLsWDBAixYsCDqZSFqLcK6hIc9VsKPNbqY+7SfId3RA7u2h3RRF/w+dblN/VxFBvxe7VcZ8HnU3736Pn/QT6MsolT3wGJV91ltAADRplbCKZLNOE6RLIBkM8qmSDIgWYxorwgCoMhQoB0PtTu60UVdUeDz1z32ygr8imLcV/hkBV7tSbdffQ39ucCY6A/5DtNjtFXSfmpzNFglwehWLkIwurILggJJEOq6o0MxurFLIbFcfyn9OoH3V0LA743Fb/V5xvDWRBTChx02hf8LhGNCTkRECSWSSd0Y34mIiGIskjHk0SlJUmNCTq1SfZO3hU7MJit1tct6a3jg8X5FqZtURa47Vq+19mq1+EYrej2110BdbbCeZOg11qH7A/fVvY/ga+mvEZqwNHaeXw5s6Q9+D6HHh16nvlp2oK7mXBIBKWBSN3WymLprSUJdq7eiPacXTQioldf/XhK/pdu8yMeQ838eooQT2kIaOmEbYLSMC369hdxvPC/IvrrWcNmntp7L/oCJ23xQfF4oAS3hxu8eFxS3S/3dp7aQGy3mcnDLvaC1igf+LthT1J+OVPWnzQExJU07xg5F8gEWW917UWQoVrHe963eU6gt34DaIu6TFXi1xz6/ek/h8qnlqvH64dZ+1/e5tRsAOaBp2h8SO0UtqNq1mwSHRY/dorHPKgnBLecBCZUkqr3ZJBHwa7FcEgVtX3DADpzILbC3kRzwXcyY3vqJECIYQ9663H///bj++uuRlZUV8TUiWVyGiIgoOoS6WVvNbERERBRbAtp2zK6srMRdd92FH3744ZiuwxZyShjNWcojVH3jxoHwZc301m59SRF9jHjgciKKEjw+XB3PVdeiHFpL7dV/GsfUv5yK3tpn1WunxeAxXlLAmFm95Tu0tT10nJh+XuBrBLaah7aK17Xq6+/XXJn1WvbwWve6cWmSVoa68ecK/EJICzrqatXVlvTgMeN1Y/ibX8POJVRaFwHmZ2wlouQg1NNCHtoybowHl33q7/6A/XqLuD522+sBfF7IHq0l3O2Cov/uqjZayP21Neolveq1lZDYJwQEUMmhjR3XWsbFtEzjp35tMS0Tgj01KAApgmi0wAuCCEWyBvSgU4LuKXyyAo9f3QC1RVzd6lrIqzw+43cAqPWoPz2+urL7Q1qrbVpsTrGpY9dTrXU/9d/tkhgUw62iGBDz1RZzSam7x1CgjjM3bqj0GB44hjzgs2SreNsSuPytmXOSkcfjwdtvv419+/bB7/fD7XbjrbfeQseOHTFjxgxMmjQJ6enpkCQJhYWFOPfcc5s9ESwTckpoZtbQDkzOAxNxQE1Qg9b81CZP0RPw+rqwu31yUBIe2JUMgNGdzO3TJlzRJ3cL6f6tByc9ubWHJLdWSTSS9ND37ZXVAN7YxCiSKMAqhk+EFVhRoP+ul1nvbq8n6qHXr6s0CC5zYHDX34ORrFtEKErIWqcCoE+do3ZvrwvqgiAAYtAUb0ZQDwzoEdTTUJJL1mBN1OY1tc53fV3WA7ukA4BfS2r9Pgh+L+Bzq4f5vEYCbiTkPm94El5bDQDwVlXDU6H9Xq0l5i712n4tMddJ1rrbYUuaegNty1ATcnu2msxLHhfE9Cz1IFmGKPshpGSojwVBXZtcT2L19dC1tcjVSd0C4rKWkOv3E1UePyrdPlRpSXe524sjVWpZy2rU7vZVbrXMwQm5+rskBifiGXb1/ThTrcbPDJu6L8Uqwe2vuw+xSnLQZHBWUQzq1m4BIKtjidS3GjA5rk5p4Eub8bv1E9D6uqA3ZPLkyXj55ZdRUFAAq9UKq9WK448/Hh988AEWLFiAFStWwO12w+/3o7S0FCeeeCK+/PLLZl2bCTkRESUUs7XtREREFHuRrIySrOuQv/vuu3jnnXdwzjnnhD1XXFwc9Pinn37C8ccfjyNHjiAnJ6fJazMhp6RWXzf1wP1KQE2uX6mrndZbyP0hx+ktxS6fDLdPNmqvXT7ZqLnW91Vr3cmqXOG11oFCu5ClazXXRiuzRQxqkfYHTPTi9slGC7xabvVnYAuy3SIFXUMShbBWcb11Xy9zaNc3vxxcj62XWf+Z7lDLrNew613dU60SZEUyPlOHRQz6YhYCuqzLCK5ll6BAUeq6xAF1texBy1E1MdEdl1BpffgnJWolGmsx1ydW0ydxC5ncTfC5oXjdUNy16qU8aku4voSZfq7iqoastYr7q6vgLqsEAHgqauA6XK7+Xqm2cnurtRZyT/CyZ5Ktbtkza5raZd2epbZ+p9aoresp7X2wGmVVf4raMmiCIAKiCEW01L0XRTaW9PRrk7h5AiZxcwfcV5S7vCh3+3BYK9+RKg8OVKo9Aw5UqK9fpbWUywHd7fUJ3vTJ3CzafUVWuvoe2qXbAQB5Hjs82r5MuwU+7Ti/VYLkr/vCtYoC7Ba155td+0hsEGCT6jq06S3kUuDQsoDPsrH4TZTMsrOzMWDAgGYd27NnT/Tu3Rs1NTVMyKnt0sNVXdf1unU+gfAZTWVFgVUUjef1ZLzSo3cn86GsVg2G5VpQPKx1J6vrRqavFRo6pis4Ec8K6EIGAJkOa0C3b3UN0Fot6T9Q5Uatxx+WMAdeP8UmIS/dDmgB1u2Xw5JwvcyVWuWBXuZaT3BlQmiZ9UqErBS1rDlaQPdqj/319EfTu755ZRmiINSNVVNEdWCa/scRBSOwGzO8hl+O2hiOISdKME11Q4/wWnoXdSGky7qgryPudUOprYbsUpNtpboCsqtGnWVdWxscsh9ybTV8FRUAANfhcrgOq7/XHDyK6lL13JpDekKuXtvrCu6ybnXU3Q7bM9UkNjVXPcdXrVYI+D0+pGmVCDYAsNiMcggWKwRFVhNzAJCsUBB8DxI4Ztwvq/PS6BX85W4fDlS68WuZmnz/crQGh8vV36sr1MTcpZXd562rTFD0IWD67Oop6vuoTlVjdVmmep9S6/HVVcBr708nioIxnE0UBKRaRaTbLPAbE89L2kza2iOjkqHuGoGNBJGMIW9oDiHm84kvkknakvXv+tNPP5k6ftu2bc0+lgk5JbX6xo0DdV/uxhhyRU3G9cZmtcXbZyTcbp8fHTMdQS3klR4/jmpJ+NEaDw5oQfFgpRok9ceuWj1IhkwSo33jWGxasq0l5HlaMGzvUQO5J11GjlYjLwqCnlcDAL75+Sj8smK0VOvjxPyyHJREj+lXEDBRmzou7YhW0364yhPwu1pmvabd69bG4YW2Okt6cFcjcjstEa90aWXOcmifa8A5gmBMVAcAv1a6gyaSSbdZ4ICWlEOtbdcTclFrRtD/hkETxIDammQN1i2pJZZRIYomoRmJetgxQWPI9a5p+thxLUDrY8ZrqyHXVECuVlu85fLD8Bwtg7e6Fhm9j9cuJ0N21bWEV+07iOqSMgBAxd5KVP5aBQA4qCW3Rzzq69eGTOqWEjCpW44Ws9s71Tjn0mK93+szJoPLEEXYbA4o2jJoSkoa5PISSDkF6rEWB6AoRu8vj19BrU/GoRo1FjvtVrj9slE5fqDSjZ8P1+DnQ2oFwtEjtajQKhGqtBZ/d/lBAIC3tirg49Ra6q1qjLalOtX3k52nlj1HXbrN5/UH9eKzGY0AEiAr2F6ivka6w4LcdHtQbJdEfdPuP/QW8nruuQBAVupvOa97vuE5cSj5qJXo5s+hYEzIKenU01gMIGQdTKOruvrTL6ut4nqrcZXHh3K3zwiOX/9chpuHdcfRWjU4uv1eVLi8KNW6iv1a7sIvR9TgWKYF9pqQWmuPFlj1cugJuU1LxB1panJboyXHlUZX91Sj3HaLiOwUO7plqcfetW4r8nsUIkVLiPXuaD6vH7VaC33p/37FTcN74pCWZB+oduNItceoaf+1vNaoaa+tVM+p0c71aJUJfu0mQy+zpAVrvczVWre3siztvfrrurrrObjDIiJHtCJbq6F//stf8JuuWchNratsAIAUrQVBREB39tBJYgKCc+jfmzO4tm6RzNja2ujLqAwfPhxFRUXxLg5RdDQwqZsxQZvHpSbllUcBAO5DR1D20z7sencHhr90MQDAu+e/8FW7UHOwDABQsecwjv5P/f3AvkrsrFJj1t7agG7uzdS5Ri1Pby1eyp66hFa0WWBJT4fUrlAta3oOaj75N9IGqP9eBXsaoMhGhzCvrOBQjQebflbfy2UnFeKoy2s0Cvxa5sL/DlThcKmabJcdrEb5PrU1rnK/+lPWZnBvDnuG2kXW1VGtuPB5Ohjd220W0eihV5jhQM/sVNy3cgsA4KST8tGnMFOdaV3vuaZNGqtP8iZr2VcL9pugJCZAMO4dzZyT7IYPH45p06Zh4sSJSElJOebrMSEn0vy4/QejW/rBGg+O1HhwUGtRPlzpQYWWnFdX6om4GhzdWhLv9QS3NutfULLW7Vuptmg/1QTVWq0muYcrUiAcUff5M+yoSbGhzGFBu/Z5zS773l0/obRcrVk/UuvBwUo3DmvJd3mVC1Xa724taXfVBHfb02dqNRJyLRIr1WrQVqrUn4JW5iM16pePtcwOWUvWa1JtqE61IdMuwZmd3eyyE4VK/lDdfNFcRoWotTp4pAwlhw7D9+svcO8/gMqDaqJbWV6JCm2JsyM+F0q0JP8wfA1eqyFWLS469BVWqqtx+IgaC9PTHEi32WDxqPFPqhLQrZnXdVVVYse2I9hf6cY+rbL80MEqVB6sRu1htezuo7XwVfwKAJBrDgMAFH/zKxX8ono/4i1TW/BdNg+qZTVuH/WloaRW3W8vS4WS6YAi+yGI7I9G5oltaNmzQAMHDsQf/vAH3Hjjjbj00ksxbdo0nHbaaRFfjwk5tUpKQFd1/adfUeD2103Spq/7qR7gQ42rFpVacl1W7cbhKjdK9VbmslpUaC3iest4TaU6rsxXrY5X83m0dU59atAULWrgttjUFnCrtlxKaobW3VubmMbr9cLvUwOlqPhhg4wsiwM+lwuyz4OqMpcxZkzSutX5/bLRMu/3uuGpqUFVrVrWwxUulJa58Gu5Wr7KCg9qqrQWcq2m312lltnrUmvjFV/oEjDqTYZVW3/Vna4Gb7/Wzd64MfCnQlTUslkVPxyCDJtggVhVBUm0BX3GdkmEJNatvy4K9XV9awXf0kQmRHMZFaKYa2gwsE4OGEMeug653lVdWztcrq2GXFNpjA+vPVwOd1klRJuE6soKeGpr4S0/ioqSI6jYpyatR38uR8kBNRb/XONFhS948jYz9rvVOOfWJ3/dUwa/PmebRYKQ6oAjRY2RlvQc+C0iFD3++33asmfq8X5FgdevIN1hgb/Ki2qXG0era/HrUbUifd/hSpQdqkaF1mW9Yv//UHtkf8Rl91apFRRltXqMPx6KnA8AEOCHQ5uhLcsmINcuQFC8kCxWHK5Sh+el2CRj2VOrJMIuiQH3U+prKAFd0xtqLa+vRyN7ubUyEYwhbw0WL16MBx98EP/617/w7LPPYtiwYejVqxeuueYaXHXVVcjPzzd1PSbklNQCv+vlen7Xg4GsqGOr9XW39URRn23cCi/8ct0M6rVeP45UeXBIH3Nd5anr7q21RNceLQEAuCvVGwGfNhOsMWOsVttsdaQDAGx68utXx5jpc7+IooBDWuBLs0twplhR4/NDrqyCJSUdruq6hFwImIXc51EDv2Szo9rrM8peUevFoSo3qqr07ukuoxKh9uiBoDJ7tMqE0Jp3Sa9EqFFnmfV78rTXb6c+r3WdP2R1G2uUp9styPD54ZctqKmuRaotBR5ttnpAnWzO4ReNv4FFFOr+Pgj+ybVL27ZIxhMm6/1ANJdRIYq7kDHk9Y471xNeLVnXk1q9y7qnUo25nsoa+Gq9sGfaUH30CBS3B77KSriPVqKqVE3Cjx6qwS9aT7djScYDHdYmP91XK8ChvY49ww57dgVsuZVamd1wQ0K63q1cUdRZ1rVr+GV17LRNEiH4PPD4FFR5/Diq9bQrr3CjusyF6kP7AOCYkvFAemyvPvQLJIda8W+zSzikzVtT5nKgxivDYpFhTbHA4/GjvNaD8hqrMRGtum65bMRuWz0ZdWA9DON32yKi7Y4ht1gsuPjii3HxxRfjwIEDePLJJ/HnP/8Zf/rTn3DuuefipptuwllnndW8a0W5rERxUbfcmfrTryhBs6q7/WoLub5kWW4K4NNmPQXUWcgrXD5j8jNXtQeuaq2rerma1OoJuex1118ILTH31qiTzegt54JF/WdnsdeNC6/UurWX1XrRzuODy+eHp7oG7TpkY+933xtdySw2bYIWT60xmUuH47rB5fOjRrtpKKv1orLWa3Spr63ywlV+SCu7OimMR6s9b4hfa+33ay0WgqC9vl1L1LX1UKw2CVXaxG9Vbh9cKVb4ZAU+2Yf8DAlHa7wBk8eotex2izZLrSLULXvGCE4B2lJtezSXUSFKaCFjyKEls4r+0+OCr6YWngo1HrkOl6PmcC2yumehvKIciqIm6e7yGtQeUSvED7j9OOptmUQ8VKnbh1xtyFpqmQueyhrIWvd4xeOG25pqtO4Lfo86hjzgHsTlk5GdYkUVfPDICmo8PpTXqu/VVe2Bq7IStUdKo1J2b005XGVq/K9NT0Oldn9Q5VLvN7KzLEhpl44jh2pwwCbBmWIzxpmn2yzaUqr6qjTaWPKgwN2GvrQpjOkx5K3sf5fPP/8cy5cvxwsvvIC8vDxMnToV+/btw/nnn4/f/e53ePDBB5u8BhNyIgBetyvh/jXIitysMWMNVgjEmdftAmBv8jiiQJHM2JrMormMClFr5PHLCVmJ6/I0I17LMrweN2CzxaBEzedP0PsISnwRjSGPTlFi6sCBA3juueewfPly/Pjjj7jgggvwz3/+E2PGjDEqKKZOnYqxY8cyIae2pb4ArXcYU/Qu63Jdl/WDFW588qPacnzzSQ6UHK2CW+viVuP2o9rtMyZq87r98NSoXdM8VWXqtU0GML3V2aud70lRlyfxOKzwurT1zl1elNf6UOZQW7vnjO+NK9euMa7hcLYHUNfSDQD3/+5M7Dt0BOXa+Pcqlxcelw8ebUkzr6vG6JreVMt4GK0VXn/PNm1MuTddban3evzGbPE1br86Nl/7zIo6p+KeDw/gtJ5qN/dUq6TVtNf9Teo69LGlnHTmZ2wloiQRtOyZNoZc+yl79fXHtZ/uWvhdHrjL1OFe5T+XY/Nn+zHprfvw388/AQB4q11wVXhQrQ3ROhKl1nEAcMsKjmozrber9MBX44K/Vhv37qqGp9uJcP3vMwCAJa+j2mVdC2rVHj+2lVZi/HFOpOWlYW+ZG1UuH8q1mdzdtT54qo8a9wnRoMdxd60Hntq6HnVlLh+uObUAx/frjfG3PIseg07CkXSbsUSr2+eHVw6O3UDIkEHG7jZLgPkEuzVE+E6dOqFnz5645pprMHXqVLRv3z7smJNOOgmnnnpqs67HhJySTn3Lm4XSu1IZy5wqCmRFgVdbrsvrV+DxyZBEAYqiQPZ64FMUuLWA4/L6UesJSMg9fvi1MeI+97EFTH0NUZ82ptzjSofHU5fUur1++LQ3Zkdwjbu78kjY9WyKFz5ZQY277hpejx8eLVH21VbB56o+pjLrNwn6OHl9TLvXo5YXUD8zr0+GT5/4Reu6p699qo7hl42/jawoRpf1uq5vweuRA+FrpLe6vk4UpC0ve9bSy6gQJQU9SdfnX9HHYfu88Lnc8Lu0dcA9fkgC4BZtgEc9xltdC2+VB1X6cDNfQ9OLtQz9+p4qD3y1Xvj0hNzjgcvjB4TgCsW6+WwUSKIAr9sFCQI8slp57fPWrdLiC1hfPBr04XO+2ir4vOrcNrVuH3yyAockwqZN0Orz+uH2ycYcO34FwbE7pCKd2rZIYnZruI1bv349zjzzzEaPyczMxAcffNCs67WlnoGUhJR6tkj45boZ13WSKCAr1YoMqwyvX4bHL8Mnq5vXr8AvA4pfVjdZhuz3apsPst/8Eio6/Xz9eoosG6/j9StwedXyeP0yjlQEJ/+K7DfGjgOAosgor3ZpxytGRYNeZkWW4fd7Ifu8xhj2Y6Ffx++T4ffVlVnffIoCn1/dKqtr0S7dBptFhM0iGjOr6jPe+yO8b2qJ/x8osQmC+a013Bvqy6gUFBRgxowZ2Lx5c7yLRBQ9ihy8GbtlY4I3ABAkEYIkQrJJ6JhiQfWhUvg9Hvg9HsgeL/weP3wK4ItBQPApapyTfQp8bj/8Hi/8Hi8UTy3gqYE/LR3W7GzAYgME0Zjwyi5JyMuw40hlDWp96nw2Xr8C2QfIPsDv8x/TfYUZstcNn0+GTytHrdePKrcPB8qrkNquo7Gai3G8ohgzqwPafHWKWnGub8HH17+fWidBq4QysyVzRn7ggDqPVEPJuM/nw+eff276ukzIqc3zexJ37JTHVdv4AXL0uucdK7fbFd66TdQMYgRba7B48WLs378fy5cvx4EDBzBs2DD07dsXDz74IEpLozPZE1GyqXUlbsyubWIcudvlilFJzHM3db9BVA8BdePIm7tFmo4vWbIE3bp1g8PhwJAhQyJKfI9VYWGhkZQDwIknnoi9e/cajw8fPoyioiLT120t9zFEpmplJQFIsUlwptqQZlHg08+VFXULSSQFUQBEERBFCIK6Rco4X7teICWga73XL6PW7W48qVX88Cl1XcFDy228ptbCcKwEUYQgihBFAaIYXsvp11oPfIoCv6wgRZKNFvLmYK06ARHWuLcS+jIqr7/+On755RdMmjQJf/7zn9G5c2eMHz8e77//fryLSNR8DbSC139oSA8w7Xc97lgcFjgybHDVVEP2eNVN62ql97yKNlEQgpZlVPwKFL8CyDIE2QuX5ICQmgnBqo6/1r+frJKAVKuE6poa+BV1VRevX4ai/Rdr+p/D65Ph86st5eVV1UjJSIHVboEloA9y3frjsfmMKbkIEW5mvfjii5g9ezbmzZuHr7/+GieffDLGjBkTlBzHQug9+e7du+H1ehs9pjkiukM/66yzcPfdd4ftP3r0aLPXWyNqaYG1b00eKwqwWUS0S7MhXfQH7RdFNeBKIiBZRGOzWBzqZk81lv+KhH6+fj3JIhkJc72JhdxIN7Z6ntO7A0kWCZJFUl/HlmIsmRYJ0WqHaLUbZdevLUnqjYZVEiDV88FnWuoScrEZf5hIZuuk1iWS2vbW+P/M559/jnnz5uFvf/sb8vLyMGfOHOTm5uL888/HH/7wh2Zfh/Ga4koQg7dGD5WMJT71xwAgSBIESYIt3Qpbfj2xVxRg17ZotzLZRXWT7BJEqwhBEiDo47EUBW7BAjElDYpoCXq/kiAgRVS7s9YVWzDuOSSLBOkYYnRzCJIVgmRV47kEdQv48nS7XEjLtMNiE4PiuaTdl0iCYPzemNb8vUzhBK2SyswWSR36Qw89hBkzZuDqq69G3759sWzZMqSmpuKZZ55p+Td1jCJpJIhoUrcNGzbgu+++wzfffIOVK1ciLS0NAODxeLBx48ZILkkUNz6PC0DkCXbUKX4A1vqfS+Au6wDgcydu10JKXG31Pq6ll1EBGK+pdXHLMtLiXYhGuNyeBp9zuxO3uzoAeN1uKE30YiAKFcmQcAHqEoAVFRVB++12O+z28OVyPR4PvvrqK8yZM8fYJ4oiRo0ahU2bNkVS7IQTcWXie++9h5KSEpx22mnYvXt3CxapcWbHD6xevRp9+vSBw+HAiSeeiLfffjtGJaWW0FQ3l+bWxEoigmp2ZVntUt0l24H8jLpkV68BdlhFpNgssFgDtrRMWNIyYUvPgi09y6htbvZ70Y63pmbAmpoBS0q6utkkoxXebhVhDela3r7P4HqvV3DySLQ7bqDRTV2vebRKAiw2qW5Ly6x7LW0zy5aaCVtqJiyOdFgc6bDaLWq3NqsFdqsEu1VSX1cUg/4eHdLr3ous9UXXP+PGetA39nc91m5PlNjacgt5p06d8NRTT2HKlCn45Zdf8PLLL2Ps2LFBte1mllHRxSteA4zZ1IgGWs/1Luo62etVN7+CjOPaBR1jcVhhTbEg3SIi3SLCaZXCXqYlZVokZFokWFMssNgkiBYLRItFHX4mCPClZACZOepSbiHJbVrAqikSoPYs02K/1SbBmpIOo+k6CmxpmbDp9wM2Cyw2C6ySGNQFv1NhKhTt/iiQFPAdqydgre37lyIjKIrpDQC2b98Op9MZtC1cuLDe1zh06BD8fj/y8/OD9ufn56OkpCTq7zGQIAiorKxERUUFysvLIQgCqqqqUFFRYWyRiDghLywsxMaNG3HiiSfi1FNPxYYNGyK9VLOZHT/w6aef4v/+7/8wbdo0fPPNNxg/fjzGjx+P77//PuplpehpzrjRwG4x9R3m8svY/mslhhamYHDHTPhlBaIAWCU1IU61SUizW2BLUTdHqgWOVDscqXbYM9rBntEOKdn5SMnObzLJlWypkGypcDjbw+FsD3tmO3VLc6hbqhU2uwSbXUKaTU1sdTVeP+ZMHlTvdRfddCZmX3GKsTSJ3nU8VbuWzWGBzaGWW39NvQzWVCesqc4Gg7/eRV0/3uHMU7eMDHVLVT8TW4oFGQ51S7VJsEsCRKibrAAn59qxdV8Ftu6rgCtg2ZS6v6Ue2IPH5QUf0zrHClMDhMjGkLeG/zPWr1+PH374AX/84x/rXdMUMLeMii4e8RpgzKZ61Nd9XX9s9KOWgmKTt9oFb7ULv2zah9zLJ0HxeIw5WESbDbY0G9LS1a293QKrIMAahVjR3mZBO7uEdnYJ9iw7rGkOWFLssKTYIUgWQFGgtOuC6szOkMsPAX4fFEWBoig4UutFnk0x5nqRJBGpdgtSHOpmT7XCltkODmcuHM7cFi87RMm4d3Gk2mGzWWCzWZBmt0AUBWPul1vO7Ix9Px1BWY0Xfi0xD+tyrMX4oMszOW+7FCV8rogmNwV9+vRBeXl50BbYAp6oFEXB8ccfj+zsbOTk5KCqqgoDBw5EdnY2srOz0bt374iuG1GXdf2m2G63Y9WqVfjLX/6CsWPH4vbbb4+oEM0VOH4AAJYtW4a33noLzzzzDO64446w4x955BGMHTsWf/zjHwEA99xzD9atW4fHHnsMy5Yti2pZKfYEIfx3PWhIYvA4Z6soIt1ugd/jgkULMhZRhF17Pt1hQXaqFV6fmuzKAWt0CYJTvbZFbR23asm4vkZ33UQ06s2Exa6OC7Omquc50tXHjjQbACAlzYoM7fd0hxWpNgk2i3auKCBdrL8LWYYoI8thxaEaj1qJYFf/OTt9Nnj9ijGphCDWJbKiRe0KZLGpXfR92vrioUui6WPkLQ71vTkyMgAAqZn2oLLnZtjgTLEan5lVEmHRKhQEAYDfi1SLHaIkQRKEoNp4SawL6vrfi/k2AW3vpu7AgQPIy8trdBmVr7/+GoMH199bpjHxitcAYzY1QUvKFe2nYLVqP23GY9FqgcWhPrZn2lGr6EugqfHOmupASrsUeKrVruL5tT54tdbdX2q98LbAJGSZWjzunGpBWns1NqbmpsLmTIclzaGW1WYHBAmKZEGNz48MrYVf//dnlQR43LVG/LMIAtIdFuRosbQmwwuvOxWKv7P6orIMV/nBYy67Lj2vC1Lbqa2LKRl2pKWrn3Wmw4IUqwSLHny9btgdVtgsIlJsklF2tbEiJF63WOkomQmQ1R4hJs8RRRGZmZnNOj43NxeSJIWtNlJaWoqCggJTr32szFaIN1dECXno7HF33XUXTjjhBEyZMqVFClWfSMYPbNq0CbNnzw7aN2bMGKxZs6bB13G73XAHjHuNtOsBxZde964HDkkQYJckpFrVLw2nw4K8TDvKqmrg1pJtmygYAcinKPCm1f1/brVIOGRVryppXeKsdvWnx6Um2D6v/oWkn6cFXu08/Xh7qp6Iqz9z0qzITAn4PdUKhzYruQgBlS51XJcgiJBsKRBECT5XFX49WoEylxeiIMBhEeFMqfvnrHddB4Byqw827ebFrh3j1srg96llluXgL1PJopdZPd6hJd2OdPW89lpinptuR7sM9fdMhxWpVimg7OrnaIMPNpsN6TZLyPORTexBrV+s/rdYsmQJHnjgAZSUlODkk0/Go48+GlHSe6wKCwvx66+/Ii8vDwCMrtqdO6s35/oyKn6/+Tkj4hGvgdjEbMbr5KMEdk3Xf9d/WrRE3KYluY402LMzkNI+GwCQ3vkgvEfUG3JBqwh35Ljg93ghe+v+bXQ9oFY0p1tE7Hepk6gd9phf47u9Fje7pqo/cwrSkdlJq5zOy0JKrhNiutMoqyJKEPw+uKoqjZsQvcNbpt2CHytrjGs7LCIy7BbkZarv1e31Q1EU46MQpF4QtZnaa478qu40MWeM3msvNacDACC9fSHSstTXSnc6kOdUf89JtyHNUleRXlldC1uKWi5nqhr39bht1SoZ9ArTwF5tjOVtmN5CbvYcE2w2GwYNGoT169dj/PjxANT71vXr12PWrFnmXvsYDR8+PCrXjSgh37VrV1h3ugkTJqBPnz748ssvW6RgoRobP7B9+/Z6zykpKTE93mDhwoX1zkhLrVN+YQfkFRTC41dQ7vKhzKW2FB+t9cJe5Ya1UrvZq3TDVaa2gAsVak28UKU+J9So50ha13GjZVqvCdeSfD0ZTklTg2xqpnrzkZVpR462r32mHTlpNjjtWquzTU9gw6OdMycXmVk58CtArddvlD2l2gNrlQdKpTqBjL/KA3e1ejMiVmtlrlaP9Wk3MX5/8JepxaqX2aqV2RZU5uwctRIiz5mCfC2wt0+zIzvFinZaEM+0W+CwCPj4833hHzxRnOndqZctW4YhQ4Zg8eLFGDNmDHbs2GEkxrESrWVUgPjEayA2MZvxum2RBAEnHtcdck0l/GVqDHKnSKhUgEq3GuPKKoHKMvXfSqokQDYqAMyP0MwXtIRcqyjIT01DllNNyJ152XB2zIOjc0cAgLWgG4R2HSCn5aixv7Qy7Hq9T+iHGq3iPrPSDXulC8oRNUmvTKtETUoNfFb1sUeshFuL6UKtGrcVEwm5kKZWFFicakJuz+2K1HZq6356uxS0y1MT9oL2aejiTEGBVrGem2YHUBp+QaKGKIrpBDuSlf5mz56NKVOm4JRTTsHgwYOxePFiVFdXGz2wkl1ECXnXrl3r3d+vXz/069fvmAoUb3PmzAmqoa+oqDBaKSjxBKapgeFWT4YlQZtITARsFgFOrcVXFIDsLtlw+dWpwSQJSLEL8GvBWxZESBYLUrSucmkpdmSmqonnwQw10T1cpSbmXu1GQG8h1ycv05cTEbWaZ5v22llaK3O7dDUAZqVYjZrodIcFaVbJWDO8wqdg28Eq9D/vUgCAp9YHQRRgT7Hg+5IqAEDn7BSIkoQ0h9aCb7HAarUiPUW9fnaGF+U1alnLtMoDV62ekEdW5sKA2vUsR10CnuGwwG7VvlZEES4ZOOt4NRmwSqJawaD1GLBIda0H+oR7Rs8GUFulTuoW/f8DzHanjrdI509gvKa4amSpM6OruqQtb6YNAxMcauIoZmTBIvuR3Ufdn9ElH0LlYUiiZHRrF7PSAa8XFq311uawIk2LTxkHqlGwX42TB7XYV67FvNqQSuiUgFlGc2zq77la3HN2VZPbrK5OpHdUx3enFuYgNT8XUkYWAEByOCBYLFDgV5ONvO6A1WEMk8u0ifDIAvxaJpKRAuTIgE+Lej5FhNVqhVW750hJdyDVqSbN6QXdAcDowu7XhscB4UPkbFoibneqcTcjR71GZk4KnFoLeWFWCjpmqxUaOekOWG1WuBW1HHsrPbjkrJ5qd3qt5166zQJ7QJd1PV439JXE+N3GRNJCHkFGftlll+HgwYOYO3cuSkpKMGDAAKxduzasEjeapk2bhsWLFyNDG8bZlN/97ndYsGABcnObnhciooQ8HiIZP1BQUGB6vEFDU+5T4gu8YRWNRFwbv6XvR92YKL+MoAnUrKIIu6Sel26zBE005rBISHeo/1wytJ856WqA1ydVq22gS5xN66KdonV/ywoYc63/TNFbpLVuYXqx/H4FNouIk/upXzhlWmKdlWozutfrZdfyXFglATZJDLp+O62Fu1LrvlelVSJ4tDHyoTOqNlTmHP0GRXvstNeVPcNugcNSN0ZcENTv6Tyt9V8StbH8Yl1Q1/8+ehc4TtpGQOTdHz0eT7OWUWkLS6jEWyxiNuN1AmrqH2/A7OnGGHJRuxWVtC7r2rwroiwDogTBoS50Jvq8Yd3axbRMOGTZmJVdtFpgy1Bbp1OyHUhtp14r47CaxHqq1Ljt9wa3NksBs7PbtZ5gqblai3KhevOdVtgOKe2z1Gu3z4HobAcxTR0DK6akQREEo5JBsdihiBYjtlkkAX4FkEQ11josItJtFmO8uz8nBZIoGDH3V4c6aSoApGlDxNy1OQDqGgECCWJwJbpDq+RPydAq050OFDrVz6Jdus0YdpZusxgxGVArQ49rnw5JULuqA+rPVKsEix67tT9hYFVLQ9UubW0+kLbJ/Bhy0y3qmlmzZsW8i3qgF198Eb///e9x0kknNXlsZWUlnnzyScydO7dZ106ahDyS8QNFRUVYv349br75ZmPfunXrUFRUFIMSU7QEfsErgb8HHFM3qZtKEgRADHgsigjMQRUFgASkagm7njzqCaPdIhpjn9O1gJejBUU9Ifdo47EbSm71n3qi7NAmilHHZmnd2yUxaHkRAMhNs6FfRzXoV2kJdYpNQrY2DjzVKsESULtvhwiHJBvBNM1mgUtLvJ0hZW2qzHrSr//M0N57unbToAZq0XgfdkmCzaK3dgsQRBhBXNRmVNdr162iEDbWXxf4N2ZAb3uECIP1U089haVLlwbtmzdvHubPnx+0L5Lu1NGkL6PicDjUcaQBy6gAyTk2mjG79VPqaf0OvTEPPUYIml1dD9TarajeQq6oiaOgzaQOLflWZD8gy1Bkv9GqLkNdQsyhJeSSzQqrNtGaLTMN9mw1OU/L17qCa8O1lJAWcimwglurwLZnqYm4o50af1PaOWHLzlKLnJGlbmlaS5nFDkWy1PUIkCxAwOoP6nKfihEPHVYRGbIUtPKIJNTNY5Nut+CgllTrvfFqXXpvvLrKBP3jliz6nDVaEq3dZ+hj1Nul2YIq1OtiuIhUq2QstyoK6j4pYB4au6QOndNvM/T3FFiBHtwgAmpLImohT8717n/zm9/g3HPPxW9+8xtYtN6oJ5xwAm6//XY888wz+OSTT+ByuSDLMrZt24aCgoJmTzqXNAk50PT4gcmTJ6Njx47GOna///3vMXz4cPztb3/DeeedhxdeeAFffvklnnzyyXi+DSIiaozp4K6aPn067r///qB9ydCCqi+jEvh44MCBQY+TsfcIYzYRUSunL2Vm6pxjX/0gHlauXIknn3wS+/fvhyzLcLlceOqpp7B27Vps374do0aNgtPphCRJuPTSSzF58uRmXzupEvKmxg/s2bMHYkB3qKFDh2LVqlW466678Kc//QnHHXcc1qxZg/79+8frLVCM1LWEazexsgJAgKB1FxMUAYoCyFq7uqKo++rueSV1pnK9hVySjRZyu/ZTb4H2ajXtRtcz7YvGGBcdsOwJAGOmUv06VjFwObbgm251GTERdq013ZsmG9cIPN8a0LLuVwDZIhqt3ilWBT6/er7LrpXVr2gfS/PK7NCqxlMCurABWqu4pa6FXBIF4xqSiKC1StXW8bprS0Ld38eYdif5cg5qYQIU893fNDabrVnLqCTSEipA9JZRiTfG7FaioXHgEf47Db2u0YpudF2XjedFUYKiLcspyH5A9kPxeqH41FZjURShWKx1489tDmMpMltmGmwZardzb7U2yalLPS9sZRFr3e2wpI3jtmWq5+ot5ZZMJ4RUrYt6RhbE1AyjO70iWdUu99pY7tC11vV4J2lx2SoKSLVKCGyoFwXBiKfpDkvd8Lg0bXict+HhcZI+hj6kJ1+W1sruTLUizVrX+m6X6u5jHJa68eGioMbwwJVaJEGARaq7PwkdamZWfXOEJGF9IxliM4Y8EXTu3Bn33HNP0L49e/agW7duePPNN3HuuedGfO2kSsiBxscPbNiwIWzfxIkTMXHixCiXiqKlvi9uf0DNWlCXqXr2S/o/elGAoKjJKgCIipqMKlrCKGuTRIr68xYBVkUISJ5luLXu3Xoy6vLpya02MZqR3AaXV0+U67qEBSffVqkuidWfD0yUU62S8Rr6tQMT29Dz9fP0Xuh+WTGuZ1QayKEJeXBZA9cKB2AE79BKCasoGl3U1THhCFpbPLD7vSgIQV3WxYDn9b9XfV3hQsViwi+KIwXHfqPfhERaQgWI3jIqiYAxu40LTeYDHiuSegtqVMAplsAfEGSfmqzrY8tln/rdYPFC8Fm1Y23qZq9bKk10VQMApDQXbNqs6L4adQy57FWT2dAu66ItYNlQLTmXUrTJ5bRu6UJqJsSUNGOf4EiDYnHUlUO0GO9JHxcvGvFOgSTUxX0FgKyI0CY3hySq9wiOgAp/PYHWu5rrw+MCh5jpv+uxOnS4mSMg8U5poCLdKgYn5Hqc1hNuPbYble0BlerGZxbwezL25qFjIMvqZkaStpDXp0uXLhgzZgwGDBhwTNdJuoSciIhauYiCtblzWvsSKkRERNEmKOZ7tUU6T0yieuedd475GkzIKek0VPdaX/cpP+paygUBEJXgFnH9K0TRWswl7Xi/oD6nT8BiU4SALup6a3P93b8bEtoNPLR7OFA3e2lg5X3gdf0hE8CEnh+ovvOMFnE5/Jj6yqqXR+8pENrtXhDqjtFr1IWAa2hz6WnHCsbEboC6Xwipaa/vb8i69rYmku5v5iXCEipAdJdRIYq50BZxxd/w86GzrIceI1oA0Vf3faBYAb8fkGwQrGrTsmDzQrE7oHjVruhweKFoM58rHpexX/SoXdahLROmhLToCYGzv4fO5K61iguOVGMGeMFqV2dS145V9O7q+nsRxKAJ7QS95VnbZQHgsACidowkCrBLijFJqssnGROvubVJWfUebt7QbngB6mK0PiFt+OSx+mou+vGSUDdcT9RaxwUBQS3kgb3bjMndAnsoNlAexu+2oO2MIY8mJuSUMOrLK5v6NxuYwMkBX/1iSGuZIqhd1vVDFEWBDMG4fmiCLgnaPlF/vu5Ym6Qnt2JQGeVmttAFdumu732Ekk18Bg2dF/o5mi1rXQBWfwZ2O9dfXtJmTRcCngs8J/C50HNDlz0zMzaNveNan0jHkJsV7yVUgOguo0IUdyFf0EFJakgirugVvX6tW7kiqwmukZDL6vhy2acm5wAg2wGrH6JDr2X21SXdPm9doq6NQ9fX7Q4rplg3y7o+DlzQu8Fr49PVmdTV32XJAogWNRHXzlEstrrKhJD3bQzRClxiDHUx0CIKsIoKHLI2BtymGMPkQiv//Y3cGBmrmIRUnlulumVc9S7oejFFCEEzqDdVmd5Ul3XOBdPGKIggwW4dCflHH32EJ554Aj/99BNefvlldOzYEc899xy6d++OM844w9S1mJATEVECibCFPEnjezSXUSEiIoqqNjTLeqBXXnkFV111Fa644gp88803cLvdAIDy8nLcd999ePvtt01dr4GpM4mIiOJAn9TN7JakVq5ciauvvhrt27eH0+mEKIp46qmnMHLkSNx5553weDxwOp3Izc3FpZdeivfffz/eRSYiIgJQtzKKmS1pa9AD/OUvf8GyZcvwj3/8A1ar1dh/+umn4+uvvzZ9PbaQU9IJHDMdOAa6vu7rgV3XA3tRKYIACXXduhVF7c8ePKa87gy1i7v+uz4OXVsyLeQVQruYN9R9K5a9usK/+ppX1sDx4EBw93P1sYDg2VWDa/nCnm/gtcK6uQcdx/5vbUtsxpAnimguo0KUcAJnWTd2abei2r97o1u7os7erA9hUfR9ik3tzg5teIsiG4+h1B0PWVaXSkM9w2D0x/Us6Va3DJvadV3WZk6HaAke9y5KxqzqEES1C3vAGHIIohEzBUWbCV0PuqI+plybt0ZW4BcDV1gRYNdWMFEUSTsmrKjG8DMx5I4icEw4gLBx4s2d60W9dnAsDx1qpp9HbVQbbSHfsWMHhg0bFrbf6XSirKzM9PXYQk5ERIlFX0bFzNaKtNQyKkRERFGlKBH0aEv+hLygoAA7d+4M2//xxx+jR48epq/HFnJqNeptfRXqWoIDJyBRtNo5Y5d2XOBXREOTooW2lNd3fGPiOeFJpGUMrfwOrE0PPaehVvDQ4+t9vnnFo9YsgiVUWqOWWEaFKKrqa10OPSTsiMB/21prc2CLOEJas8WAKUgDW+LkulZzIaSFTo/vga3lQddo4r0Y5QmdoC1w5nRRDG4x11rEjXuJkM9GFAQoUIygJyoKJEUwyqWv7KIErQSjTSBrvK/wYoeulBLao6yxSVVDn0fAMfX1bAudfDX4dcOPr688ga9JrYQSQa+2VtBCPmPGDPz+97/HM888A0EQsH//fmzatAm33nprRBOvMiEnIiIiIiIik2Tz65C3ghbyO+64A7Is4+yzz0ZNTQ2GDRsGu92OP/7xj5g+fbrp67HLOhERJZY2NKlbqI8++ghXXnklioqKsG/fPgDAc889h48//jjOJSMiIgohK21ymJkgCLjzzjtx5MgRfP/999i8eTMOHjwIp9OJ7t27m74eE3IiIkosimJ+awU17q+88grGjBmDlJSUepdRISIiSigRxevk5Xa7MWfOHJxyyik4/fTT8fbbb6Nv377YunUrevfujUceeQS33HKL6euyyzoltPrGGgX+W25oBu7QcVX6+HFjr3aeZBwf+hpK0JhzWQl/neT+SjGnoSFfZseIN3Yt9fimB5dx/Flr17ZmWQ+kL6MyefJkvPDCC8b+008/HX/5y1/iWDKiyISOpRbqe2DMeK5GZEUJaSsK+T4QFLkueCtycCwOPDb0OSC8ZU5spF0qdCx5wO/GmHFjvxA8xrwekiAYXXUVQYAQME5ckgR13HhgURV9lvWG7zbkkIja0KvXN37ceC7w/EZmTm/unC9cGaWtaVuzrM+dOxdPPPEERo0ahU8//RQTJ07E1Vdfjc2bN+Nvf/sbJk6cCEmSmr5QCCbkRESUUNrqpG4tvYwKERFRNAkRTMSazGPIV69ejRUrVuDCCy/E999/j5NOOgk+nw//+c9/jmn5P3ZZJyKixBHJEiqtJIFv6WVUiIiIoiqimJ28Cfkvv/yCQYMGAQD69+8Pu92OW2655ZiScYAJORERJZo2mpDry6h89tlnxjIqK1euxK233oobbrgh3sUjIiIKEUm8Tt6Y7ff7YbPZjMcWiwXp6enHfF12Waek01AlVHPGlusaGmNuXCvk/PpGgzR3Te/WoLlrpzd1WHPHlnEIWhvXShJss1p6GRWimAsdQx3yb7m+MdZhX/ehO0LmcFEgNd7C1lLfH/WNBw8MTvWtXd7AuYKgFlmPgbI+T42+bjnU+4z67itaqjGxsRY8s/O9qOdwzheCNmu639w5SdxCrigKpk6dCrvdDgBwuVy4/vrrkZaWFnTcq6++auq6bCEnIqIEoo5HM7u1Bi29jAoREVE0KYoCRZZNbsmbkE+ZMgV5eXlwOp1wOp248sor0aFDB+OxvpnFFnIiIkocClrFGqVmuN1uzJ8/H+vWrTNaxMePH4/ly5fjt7/9LSRJimgZFSIioqiS/RG0kCdvjF++fHlUrsuEnIiIEkjyr1NqVrSWUSEiIooqJZIu68mbkEcLE3JqNZoaq2RmjHlj9PHnoePO25KWWGeUY8uoQZEE6yRO4qO1jApR3DWyLrf+77yxtbvru4agyE0McI5e5VWjZW3ifQT+UxYbeAP1LgcVw++ASGM7v6aIjg0TciIiShgC2t465NFaRoWIiCiqZBmK31wLeTKPIY8WJuRERJQ49DVN25BoLaNCREQUVbJift6XJO7RFi1MyImIKLG0sYQ8WsuoEBERRZXStiZ1ixYm5ERERHE0ZcqUoMdXXnllnEpCRETUfOoyZkzIjxUTciIiSiCK+dr2JBetZVSIiIiiSmGX9ZbAhJzajJaaH6mh2VHbAs4xRdGmDiFn7TlRq9fU7Or1UeSmZ2WPlhZ83YZiqaQ9Ec98hXGezIikhVxhC3mYOH2rmXfkyBFcccUVyMzMRFZWFqZNm4aqqqpGzxkxYgQEQQjarr/++hiVmIiIzNNayM1ulFAYs4mI2gAlgnjNFvIwSdNCfsUVV+DXX3/FunXr4PV6cfXVV+Paa6/FqlWrGj1vxowZWLBggfE4NTU12kUlIqJIKZF2WWeATySM2UREbQC7rLeIpEjIf/jhB6xduxZffPEFTjnlFADAo48+inPPPRcPPvggOnTo0OC5qampKCgoaPZrud1uuN1u43FFRUXkBSciItPMrmkabffeey/eeustbNmyBTabDWVlZWHH7NmzBzfccAM++OADpKenY8qUKVi4cCEslqQIsy0qVjGb8ZqIKM785tchN53AtwFJ0WV906ZNyMrKMgI7AIwaNQqiKOKzzz5r9NyVK1ciNzcX/fv3x5w5c1BTU9Po8QsXLoTT6TS2zp07t8h7ICKiZtBr281uUeTxeDBx4kTccMMN9T7v9/tx3nnnwePx4NNPP8Wzzz6L4uJizJ07N6rlSlSxitmM10REcabIEXRZZ0IeKimq7ktKSpCXlxe0z2KxICcnByUlJQ2eN2nSJHTt2hUdOnTAt99+i9tvvx07duxodC3XOXPmYPbs2cbjiooKBnkiopiJsMt6FHvA3X333QCA4uLiep9/9913sW3bNrz33nvIz8/HgAEDcM899+D222/H/PnzYbPZole4BBSrmM14TUQUZ7IcwTrk7LIeKq4J+R133IG//vWvjR7zww8/RHz9a6+91vj9xBNPRGFhIc4++2z89NNP6NmzZ73n2O122O32iF+TWj/OQEoURQrMr2mq8Xg8Yd2WY/GdvmnTJpx44onIz8839o0ZMwY33HADtm7dioEDB0b19WMl0WI243UbFK8Z1mOM9xmULBRFNr0yCmdZDxfXhPzWW2/F1KlTGz2mR48eKCgowIEDB4L2+3w+HDlyxNT48CFDhgAAdu7c2WBCTkRE8RTBBDGap556CkuXLg3aN2/ePMyfP78FytWwkpKSoGQcgPG4sRbhZMOYTUREQZTEaiFP1jlf4pqQt2/fHu3bt2/yuKKiIpSVleGrr77CoEGDAADvv/8+ZFk2AnZzbNmyBQBQWFgYUXmJiCjKjqGFfPr06bj//vuD9jXUgtrc1t4+ffpEVJbWiDGbiIiCRNJlPYrzvuhzvhQVFeHpp58Oe16f86WgoACffvopfv31V0yePBlWqxX33Xdf1MrVlKQYQ37CCSdg7NixmDFjBpYtWwav14tZs2bh8ssvN2Zr3bdvH84++2ysWLECgwcPxk8//YRVq1bh3HPPRbt27fDtt9/illtuwbBhw3DSSSfF+R0REVH9Il/2zGazITMzs1lHN7e1tzkKCgrw+eefB+0rLS01nmtrGLOJiNqGSLqsQ1Egy0pUhpgl65wvSZGQA+rMq7NmzcLZZ58NURQxYcIE/P3vfzee93q92LFjhzEjq81mw3vvvYfFixejuroanTt3xoQJE3DXXXfF6y0QEVFzxGBJlOa29jZHUVER7r33Xhw4cMCYzGzdunXIzMxE3759W+Q1kg1jNhFRGxDRpG4ytm/fAafTGbQ7FkPMEnXOl6RJyHNycrBq1aoGn+/WrRuUgDEJnTt3xsaNG2NRNCIiaimKknDrkO/ZswdHjhzBnj174Pf7ja7UvXr1Qnp6OkaPHo2+ffviqquuwqJFi1BSUoK77roLM2fObLOTjjFmExG1ARGOIe/Tpw82b94ctDsW8TJR53xpG9NVEhFRclAU82uaRjjmvLnmzp2LgQMHYt68eaiqqsLAgQMxcOBAfPnllwAASZLw5ptvQpIkFBUV4corr8TkyZOxYMGCqJaLiIgonhRZhuL3m9tkGaIoIjMzM2hrbM4XQRAa3bZv3x7jd96ykqaFnIiIKB6Ki4sbHI+m69q1K95+++3YFIiIiCgRyLL5YWYmZ1lvC3O+MCEnIqLEEkmLd/RWUSEiIqL6RNRl3VwC3xbmfGFCTkRECUOBYn7GViIiIoo9WTa/VGkU1yFP1jlfmJATEVHiUCJf9oyIiIhiR1HMV6IrJlvIzZg7dy6effZZ47E+a/oHH3yAESNGGHO+3HDDDSgqKkJaWhqmTJkS9zlfmJATEVFiifIkbURERHTs1EndTCbkcvQq0JN1zhcm5ERElDgiqG0nIiKi2FNkxXRCHs0u68mKCTkRESUWtpATERElPlk232U9ii3kyYoJORERJY6Ix5ATERFRLLGFvGUwISciogSiQPEzISciIkp0iTaGPFkxISciosShAIhkDDlr3ImIiGJKkWXIJivRFVkGxCgVKEkxISciogTCLutERETJQJEjmIiVFehhmJATEVHiUACFCTkREVHCi6jLOhPyMEzIiYgoYSjgsmdERERJIYJJ3TiGPBwTciIiShwKzM/YSkRERDGnRLDsGbush2NCTkRECSSCJVSIiIgo5hRZgcwW8mPGhJyIiIiIiIhMiWQdckVhpXsoJuRERJQ4FHAMORERURKIZFI3sIU8DBNyIiJKHEpkXdY5JI2IiCi2Iln2jLOsh2NCTkRECUNBpJO6McATERHFFFvIWwQTciIiShyKAtnPdciJiIgSXURjyJmQh2FCTkRECYVjyImIiBKfrMiQ2WX9mDEhJyKihKFEOIaciIiIYiyiWdaZkIdiQk5ERIlDiXQMOREREcWS4pehmB1mxl5wYZiQExFRAjE/Y6t2GhEREcWQosicZb0FiPEuQHPde++9GDp0KFJTU5GVldWscxRFwdy5c1FYWIiUlBSMGjUKP/74Y3QLSkREkVMA2S+b3iixMGYTEbUBWpd1MxtnWQ+XNAm5x+PBxIkTccMNNzT7nEWLFuHvf/87li1bhs8++wxpaWkYM2YMXC5XFEtKRESR0pc9Mx3gKaEwZhMRtX6KbD5ec5b1cEnTZf3uu+8GABQXFzfreEVRsHjxYtx111246KKLAAArVqxAfn4+1qxZg8svvzxaRSUiokhFPKkbA3wiYcwmImr9ZL9iupcau6yHS5oWcrN27dqFkpISjBo1ytjndDoxZMgQbNq0qcHz3G43KioqgjYiIooRRatxN7lFy+7duzFt2jR0794dKSkp6NmzJ+bNmwePxxN03LfffoszzzwTDocDnTt3xqJFi6JWptYokpjNeE1ERK1B0rSQm1VSUgIAyM/PD9qfn59vPFefhQsXGjX7REQUa4m17Nn27dshyzKeeOIJ9OrVC99//z1mzJiB6upqPPjggwCAiooKjB49GqNGjcKyZcvw3Xff4ZprrkFWVhauvfbaOL+D5BBJzGa8JiKKM8X8RKxsIQ8X1xbyO+64A4IgNLpt3749pmWaM2cOysvLjW3v3r0xfX0iorZMUSIfQ+7xeMJaTN1u9zGVZ+zYsVi+fDlGjx6NHj164MILL8Qf/vAHvPrqq8YxK1euhMfjwTPPPIN+/frh8ssvx0033YSHHnromF470SRazGa8JiKKr0jGkHPZs3BxbSG/9dZbMXXq1EaP6dGjR0TXLigoAACUlpaisLDQ2F9aWooBAwY0eJ7dbofdbo/oNYmIKH6eeuopLF26NGjfvHnzMH/+/BZ9nfLycuTk5BiPN23ahGHDhsFmsxn7xowZg7/+9a84evQosrOzW/T14yXRYjbjNRFRfCmyAsVvrsVbYT4eJq4Jefv27dG+ffuoXLt79+4oKCjA+vXrjWBeUVGBzz77zNSsr0REFEsK5AjXIZ8+fTruv//+oN0tnbDt3LkTjz76qNFdHVC7W3fv3j3oOL3rdUlJSatJyBmziYgokMJJ3VpE0kzqtmfPHmzZsgV79uyB3+/Hli1bsGXLFlRVVRnH9OnTB6+99hoAQBAE3HzzzfjLX/6Cf/3rX/juu+8wefJkdOjQAePHj4/TuyAiokZF2GVdAWCz2ZCZmRm0NZSQR9L9et++fRg7diwmTpyIGTNmxODDSF6M2URErZ+iKGoruYkNTMjDJM2kbnPnzsWzzz5rPB44cCAA4IMPPsCIESMAADt27EB5eblxzG233Ybq6mpce+21KCsrwxlnnIG1a9fC4XDEtOxERNRMigLF74/6y5jtfr1//36MHDkSQ4cOxZNPPhl0XEFBAUpLS4P26Y/1rthtDWM2EVHrp8gKZJNd1jmEPFzSJOTFxcVNrmca2gVCEAQsWLAACxYsiGLJiIiopShAVJcx05npfr1v3z6MHDkSgwYNwvLlyyGKwZ3LioqKcOedd8Lr9cJqtQIA1q1bh969e7ea7upmMWYTEbV+6hhykzFbZgt5qKTpsk5ERG2AokQ4y3p0Avy+ffswYsQIdOnSBQ8++CAOHjyIkpKSoKW4Jk2aBJvNhmnTpmHr1q148cUX8cgjj2D27NlRKRMREVEi0Cd1M7Wxy3qYpGkhJyKitiGR1iFft24ddu7ciZ07d6JTp05Bz+k3FU6nE++++y5mzpyJQYMGITc3F3PnzuUa5ERE1Kopfpjusq6whTwME3IiIkoYimJ+xlb1xJYvCwBMnTq1ybHmAHDSSSfho48+ik4hiIiIEpC+DrkpTMjDMCEnIqLEocRmDDkREREdG0VRIJtMsNljPRwTciIiSiiJ1GWdiIiI6qfI6lrk5s5hRh6Kk7oREVHiUCKYIMbkzQAREREdO9kvm96iNanb7t27MW3aNHTv3h0pKSno2bMn5s2bB4/HE3Tct99+izPPPBMOhwOdO3fGokWLolIeM9hCTkRECUNRENkYciIiIoqtiFrIo1OU7du3Q5ZlPPHEE+jVqxe+//57zJgxA9XV1XjwwQcBABUVFRg9ejRGjRqFZcuW4bvvvsM111yDrKysuE7EyoSciIgSCruzERERJT592TNTohTjx44di7FjxxqPe/TogR07dmDp0qVGQr5y5Up4PB4888wzsNls6NevH7Zs2YKHHnoorgk5u6wTEVHiUBTIfvNbtGZZJyIiovopcmRd1mVZRkVFRdDmdrtbvHzl5eXIyckxHm/atAnDhg2DzWYz9o0ZMwY7duzA0aNHW/z1m4sJORERJQwF6qRuZjciIiKKLUXWWsnNbIqC7du3w+l0Bm0LFy5s0bLt3LkTjz76KK677jpjX0lJCfLz84OO0x+XlJS06OubwYSciIiIiIiITJFl8z3aFBno06cPysvLg7Y5c+bU+xp33HEHBEFodNu+fXvQOfv27cPYsWMxceJEzJgxIxYfxTHhGHIiIkocivkJYoiIiCgOZPO91BRZgSiKyMzMbNbxt956K6ZOndroMT169DB+379/P0aOHImhQ4fiySefDDquoKAApaWlQfv0xwUFBc0qTzQwISciosShQB0Tbvo0JvFERESxFMk65DC57Fn79u3Rvn37Zh27b98+jBw5EoMGDcLy5cshisGdwYuKinDnnXfC6/XCarUCANatW4fevXsjOzvbVLlaErusExFRAlE4hpyIiCgJRNZlPToV6Pv27cOIESPQpUsXPPjggzh48CBKSkqCxoZPmjQJNpsN06ZNw9atW/Hiiy/ikUcewezZs6NSpuZiCzkRESUMRVEDPBERESU4WYEim+yybrKFvLnWrVuHnTt3YufOnejUqVO9r+l0OvHuu+9i5syZGDRoEHJzczF37ty4LnkGMCEnIqIEE9EYcubwREREMaW3kJuhRKlT29SpU5scaw4AJ510Ej766KPoFCJCTMiJiChhKIoCmV3QiYiIEp+smK9EZy+4MEzIiYgocXCWdSIioqSgyIr5Wdaj1GU9mTEhJyKihMKEnIiIKPElUpf1ZMaEnIiIEge7rBMRESWHCLqsR2uW9WTGhJyIiBKGojBYExERJQNZAWSTXdAVzsIahgk5ERElFLPd3wBwlnUiIqIYkxUFfrMJOeN1GCbkRESUOBTzE8QQERFR7MkKYHqS9egUJakxISciooShcJZ1IiKipCDDfAu52S7ubQETciIiSiiRdFlneCciIoqtSFrIGa/DifEuQHPde++9GDp0KFJTU5GVldWsc6ZOnQpBEIK2sWPHRregREREbRxjNhFR6+fXxpCb2Thva7ikaSH3eDyYOHEiioqK8PTTTzf7vLFjx2L58uXGY7vdHo3iERFRS1AARY5khBkjfCJhzCYiav04hrxlJE1CfvfddwMAiouLTZ1nt9tRUFAQhRIREVFLU6BENss6JRTGbCKi1k8GOIa8BSRNl/VIbdiwAXl5eejduzduuOEGHD58uNHj3W43KioqgjYiIooRbVI3s1s0G8gvvPBCdOnSBQ6HA4WFhbjqqquwf//+oGO+/fZbnHnmmXA4HOjcuTMWLVoUvQK1YmZiNuM1EVF86S3kZjbm4+FadUI+duxYrFixAuvXr8df//pXbNy4EePGjYPf72/wnIULF8LpdBpb586dY1hiIqI2TgEUv2x6i6aRI0fipZdewo4dO/DKK6/gp59+wiWXXGI8X1FRgdGjR6Nr16746quv8MADD2D+/Pl48skno1qu1sZszGa8JiKKr0gScnZZDxfXhPyOO+4Im8AldNu+fXvE17/88stx4YUX4sQTT8T48ePx5ptv4osvvsCGDRsaPGfOnDkoLy83tr1790b8+kREZI7eZd3sFk233HILTjvtNHTt2hVDhw7FHXfcgc2bN8Pr9QIAVq5cCY/Hg2eeeQb9+vXD5ZdfjptuugkPPfRQVMsVa4kWsxmviYjiS1/2jJO6HZu4jiG/9dZbMXXq1EaP6dGjR4u9Xo8ePZCbm4udO3fi7LPPrvcYu93OSWSIiOLlGNYh93g8Yd2WW/o7/ciRI1i5ciWGDh0Kq9UKANi0aROGDRsGm81mHDdmzBj89a9/xdGjR5Gdnd1irx9PiRazGa+JiOJLb/U2g/l4uLgm5O3bt0f79u1j9nq//PILDh8+jMLCwpi9JhERmRPphC9PPfUUli5dGrRv3rx5mD9//jGX6fbbb8djjz2GmpoanHbaaXjzzTeN50pKStC9e/eg4/Pz843nWktCzphNRESBZK3V2+w5UpTKk6ySZgz5nj17sGXLFuzZswd+vx9btmzBli1bUFVVZRzTp08fvPbaawCAqqoq/PGPf8TmzZuxe/durF+/HhdddBF69eqFMWPGxOttEBFRIxREtq4pAEyfPj2oC3N5eTnmzJlT7+uY7X79xz/+Ed988w3effddSJKEyZMnQ+HMNA1izCYiav04hrxlJM2yZ3PnzsWzzz5rPB44cCAA4IMPPsCIESMAADt27EB5eTkAQJIkfPvtt3j22WdRVlaGDh06YPTo0bjnnnvYxY2IKEEpEXR/A9RE3mazITMzs1nHm+1+nZubi9zcXBx//PE44YQT0LlzZ2zevBlFRUUoKChAaWlp0Ln647a6hBdjNhFR66ePITeDddnhkiYhLy4ubnI908DWipSUFPz73/+OcqmIiKilmQ3ukTiW7teyrNbvu91uAEBRURHuvPNOeL1eY1z5unXr0Lt371bTXd0sxmwiotZPjqASnS3k4ZKmyzoREbV+apd181u0fPbZZ3jsscewZcsW/Pzzz3j//ffxf//3f+jZsyeKiooAAJMmTYLNZsO0adOwdetWvPjii3jkkUcwe/bs6BWMiIgoztSE3Ows62wiD5U0LeRERNT6KRF0f4um1NRUvPrqq5g3bx6qq6tRWFiIsWPH4q677jK6UjudTrz77ruYOXMmBg0ahNzcXMydOxfXXnttnEtPREQUPTLMt3gnToRPHEzIiYgocUS5xdusE088Ee+//36Tx5100kn46KOPYlAiIiIiak2YkBMRUcLQZ1mP6EQiAIogQBGEeBeDiKjVi2xSNwbsUEzIiYiIiIiIyBRO6tYymJATEVHC0Cd1i+Q8IiIiih1ZMd9CLjNgh2FC3gS9W0VlZWWcS0JElFj078WW7n6WSGPIKXkwXhMR1S9a8TqSFnKG+HBMyJug/w98XK9ecS4JEVFiqqyshNPpbJFrRTyGnNo8xmsiosa1ZLwGAD/Mx2wuexaOCXkTOnTogL179yIjIwPCMU4SU1FRgc6dO2Pv3r3IzMxsoRK2Hvx8msbPqHH8fJrWkp+RoiiorKxEhw4dWqh0gJJgs6xT8mC8ji1+Ro3j59M0fkaNS/R4DWgt5GbPadEStA5MyJsgiiI6derUotfMzMzkF08j+Pk0jZ9R4/j5NK2lPqOWrGnXsYWcIsF4HR/8jBrHz6dp/Iwal8jxWlYU+E12QmeID8eEnIiIEkakk7oRERFR7JT8sBMd4TQds12Q8c0r70SnUEmKCTkRESUMJYI1TdXziIiIKFZ6IQ3/QQV6IBUCmjdMyAMZW1GJF9a8GuXSJRcx3gVoS+x2O+bNmwe73R7voiQkfj5N42fUOH4+TUv4z0gbQ252I2pJCf/vJAHwM2ocP5+m8TNqXKJ/Phuq96EGfvyEmmafswXlyIIVF154YRRLlnwEpaXnvyciIorASy+9hFsvn4wZdvPjgO9z7cKX3/0H/fv3j0LJiIiIKFRxcTFuuno6LkNHSE20klfDhxewH598thmDBw+OUQmTA1vIiYgoocgRbERERBRbV111FawQsRWVTR77BcrQFSlMxuvBhJyIiBKGvg652Y2jyImIiGJLkiSsWvsGvkY53I0sgHYYHuxEDd796bsYli55MCEnIqKEoc+yzjHkREREiW/MmDFoDxu+RkWDx3yGo+iLdPTo0SOGJUseTMiJiCihRNJCzpyciIgoPt7cshlbUYkKeMOe+wW1KIUHHxzaFYeSJQcm5ERElDAUzrJORESUVE4++WT0RCq+QFnQfgUKNuMoBiIT7dq1i0/hkgAT8jjYvXs3pk2bhu7duyMlJQU9e/bEvHnz4PF44l20hHLvvfdi6NChSE1NRVZWVryLE3dLlixBt27d4HA4MGTIEHz++efxLlLC+PDDD3HBBRegQ4cOEAQBa9asiXeREsrChQtx6qmnIiMjA3l5eRg/fjx27NgR72LVK/Ix5ETRwZjdNMbrcIzZDWPMblwyxexA7+35AbtRi4NwG/t+RDXckLGh9tc4lizxMSGPg+3bt0OWZTzxxBPYunUrHn74YSxbtgx/+tOf4l20hOLxeDBx4kTccMMN8S5K3L344ouYPXs25s2bh6+//honn3wyxowZgwMHDsS7aAmhuroaJ598MpYsWRLvoiSkjRs3YubMmdi8eTPWrVsHr9eL0aNHo7q6Ot5FI0p4jNlNY7wOxpjdOMbsxiVrzO7cuTP6IwObcRQKFPgg4wuUYdnzz8LhcMS7eAmN65AniAceeABLly7F//73v3gXJeEUFxfj5ptvRllZWbyLEjdDhgzBqaeeisceewwAIMsyOnfujBtvvBF33HFHnEuXWARBwGuvvYbx48fHuygJ6+DBg8jLy8PGjRsxbNiweBfH8NJLL+H3l03GRLHQ9LlPyD/jq+++5TrkFBOM2fVjvFYxZjcfY3bTEjVm16e8vBwFWTkYgXY4Ci9+Qg1K/bUQRbYBN4afToIoLy9HTk5OvItBCcjj8eCrr77CqFGjjH2iKGLUqFHYtGlTHEtGyaq8vBwAEvI7R4H57urssk6xxphNDWHMppaWyDE7lNPpxKK/L8YmHMU3KMdL769lMt4MlngXgICdO3fi0UcfxYMPPhjvolACOnToEPx+P/Lz84P25+fnY/v27XEqFSUrWZZx88034/TTT0+41mSbzYbD8OIVpcT0uV4osFqtUSgVUTDGbGoMYza1pESO2Q257rrrcNdNs1EAB0aOHBnv4iQFJuQt6I477sBf//rXRo/54Ycf0KdPH+Pxvn37MHbsWEycOBEzZsyIdhHjLpLPiIhazsyZM/H999/j448/jndRwlx44YVY/dqrEU2WlZOTg969e0ehVNRaMWY3jvGaKP4SOWY3xGazobS2ki3jJjAhb0G33norpk6d2ugxPXr0MH7fv38/Ro4ciaFDh+LJJ5+McukSg9nPiIDc3FxIkoTS0tKg/aWlpSgoKIhTqSgZzZo1C2+++SY+/PBDdOrUKd7FCSOKIscRUswwZjeO8ToyjNnUUhI9ZjeGk7iZw4S8BbVv3x7t27dv1rH79u3DyJEjMWjQICxfvrzN1CKZ+YxIZbPZMGjQIKxfv95IVmRZxvr16zFr1qz4Fo6SgqIouPHGG/Haa69hw4YN6N69e7yLRBR3jNmNY7yODGM2HSvG7LaHCXkc7Nu3DyNGjEDXrl3x4IMP4uDBg8ZzrD2ts2fPHhw5cgR79uyB3+/Hli1bAAC9evVCenp6fAsXY7Nnz8aUKVNwyimnYPDgwVi8eDGqq6tx9dVXx7toCaGqqgo7d+40Hu/atQtbtmxBTk4OunTpEseSJYaZM2di1apVeP3115GRkYGSEnWMttPpREpKSpxLR5TYGLObxngdjDG7cYzZjWPMboMUirnly5crAOrdqM6UKVPq/Yw++OCDeBctLh599FGlS5cuis1mUwYPHqxs3rw53kVKGB988EG9/69MmTIl3kVLCA193yxfvjzeRSNKeIzZTWO8DseY3TDG7MYxZrc9XIeciIiIiIiIKA5a/yAoIiIiIiIiogTEhJyIiIiIiIgoDpiQExEREREREcUBE3IiIiIiIiKiOGBCTkRERERERBQHTMiJiIiIiIiI4oAJOREREREREVEcMCEnIiIiIiIiigMm5ERERERERERxwISciIiIiIiIKA6YkBMluBUrVqBdu3Zwu91B+8ePH4+rrroqTqUiIiKiUIzZRGQWE3KiBDdx4kT4/X7861//MvYdOHAAb731Fq655po4loyIiIgCMWYTkVlMyIkSXEpKCiZNmoTly5cb+55//nl06dIFI0aMiF/BiIiIKAhjNhGZxYScKAnMmDED7777Lvbt2wcAKC4uxtSpUyEIQpxLRkRERIEYs4nIDEFRFCXehSCipg0aNAiXXHIJRo8ejcGDB2P37t3o3LlzvItFREREIRiziai5LPEuABE1z/Tp07F48WLs27cPo0aNYmAnIiJKUIzZRNRcbCEnShLl5eXo0KEDfD4fVqxYgcsuuyzeRSIiIqJ6MGYTUXNxDDlRknA6nZgwYQLS09Mxfvz4eBeHiIiIGsCYTUTNxYScKIns27cPV1xxBex2e7yLQkRERI1gzCai5mCXdaIkcPToUWzYsAGXXHIJtm3bht69e8e7SERERFQPxmwiMoOTuhElgYEDB+Lo0aP461//ysBORESUwBizicgMtpATERERERERxQHHkBMRERERERHFARNyIiIiIiIiojhgQk5EREREREQUB0zIiYiIiIiIiOKACTkRERERERFRHDAhJyIiIiIiIooDJuREREREREREccCEnIiIiIiIiCgOmJATERERERERxQETciIiIiIiIqI4YEJOREREREREFAdMyImIiIiIiIjigAk5ERERERERURwwISciIiIiIiKKAybkRERERERERHHAhJyIiIiIiIgoDpiQExEREREREcUBE3IiIiIiIiKiOGBCTkRERERERBQHTMiJiIiIiIiI4oAJOREREREREVEcMCGnVmPv3r1wOBz45JNP4l0UioHdu3dDEAQUFxebOm/ZsmXo0qUL3G53dApGRNQKMcaaN2LECIwYMSLexWhV5s+fD0EQTJ932mmn4bbbbotCiYiOHRNyirri4mIIgtDgtnnz5hZ5nQULFmDIkCE4/fTTo1pefevWrRuAuuAgiiL27t0bdr2KigqkpKRAEATMmjXrmMrWWr399tuYP39+TF5r6tSp8Hg8eOKJJ2LyekRE0cQYG98Yu23bNsyfPx+7d++O+Wsnu/vuuw9r1qyJyWvdfvvtWLJkCUpKSmLyekRmWOJdAGo7FixYgO7du4ft79Wr1zFf++DBg3j22Wfx7LPPHvO1hg0bhueeey5o3/Tp0zF48GBce+21xr709PSgY+x2O/75z3+G1cC++uqrx1ym1u7tt9/GkiVLTCXlXbt2RW1tLaxWq6nXcjgcmDJlCh566CHceOONEdW0ExElGsbY+Ni2bRvuvvtujBgxwqhE0L377rvxKVSSuO+++3DJJZdg/PjxzT7nrrvuwh133GH6tS666CJkZmbi8ccfx4IFC0yfTxRNTMgpZsaNG4dTTjklKtd+/vnnYbFYcMEFFxzztXr06IEePXoE7bv++uvRo0cPXHnllQ2ed+6559Z7s7Bq1Sqcd955eOWVV465bAT4fD7IsgybzQaHwxHRNS699FIsWrQIH3zwAc4666wWLiERUewxxiZejLXZbPEuQqtRXV2NtLQ0WCwWWCzm0xdRFHHJJZdgxYoVuPvuu1kZTwmFXdYpYYwYMaLBrmtNjRNes2YNhgwZElajDgBPPvkkevbsiZSUFAwePBgfffRRVMZ1TZo0CVu2bMH27duNfSUlJXj//fcxadKkZl9n3bp1OOOMM5CVlYX09HT07t0bf/rTnwAAVVVVSEtLw+9///uw83755RdIkoSFCxcCqOsW+PHHH+Omm25C+/btkZWVheuuuw4ejwdlZWWYPHkysrOzkZ2djdtuuw2KohjX08doP/jgg1iyZAl69OiB1NRUjB49Gnv37oWiKLjnnnvQqVMnpKSk4KKLLsKRI0fCyvXOO+/gzDPPRFpaGjIyMnDeeedh69atxvNTp07FkiVLACDobx5ahsWLF6Nnz56w2+3Ytm1bg2PIt2/fjksvvRTt27dHSkoKevfujTvvvDPomEGDBiEnJwevv/56s/8uRETJjDFWtXz5cpx11lnIy8uD3W5H3759sXTp0rDjunXrhvPPPx8ff/wxBg8eDIfDgR49emDFihXGMcXFxZg4cSIAYOTIkcbnuWHDBgDNH0Pu9Xpx991347jjjoPD4UC7du1wxhlnYN26dUaZBUHAN998E3bufffdB0mSsG/fPuM1+/fvj2+//RbDhw9HamoqevXqhZdffhkAsHHjRgwZMsSIj++9917Q9fQhAv/9739x5ZVXwul0on379vjzn/8MRVGwd+9eo7W5oKAAf/vb38LK5Ha7MW/ePPTq1Qt2ux2dO3fGbbfdFjR3iyAIqK6uxrPPPmt8blOnTg0qw7Zt2zBp0iRkZ2fjjDPOCHou1PPPP4/BgwcjNTUV2dnZGDZsWFgPhXPOOQc///wztmzZ0uTfhCiW2EJOMVNeXo5Dhw4F7RMEAe3atQMA3HnnnZg+fXrQ888//zz+/e9/Iy8vr8Hrer1efPHFF7jhhhvCnnv66adx3XXXYejQobj55pvxv//9DxdeeCFycnLQuXPnFnhXdYYNG4ZOnTph1apVRneoF198Eenp6TjvvPOadY2tW7fi/PPPx0knnYQFCxbAbrdj586dxiQ66enp+O1vf4sXX3wRDz30ECRJMs795z//CUVRcMUVVwRd88Ybb0RBQQHuvvtubN68GU8++SSysrLw6aefokuXLrjvvvvw9ttv44EHHkD//v0xefLkoPNXrlwJj8eDG2+8EUeOHMGiRYtw6aWX4qyzzsKGDf/f3p2HSVGdbQO/q6rX2VmGGZBFQAVcQMUloCIIEY1RiUpUoiKiRF7MG8U9GlSiQWMiRF+EGCJEA18Sk0jcohJEXAJGMcQVEgyKAYd99umt6nx/1NJdvcxMNdPT1TP377rama6urj7dg/3UqXPO87yO22+/Hdu2bcNjjz2GW265BU8++aT13KeffhrTp0/H5MmT8dBDD6G5uRlLlizB6aefjn/84x84/PDD8d3vfhe7du3CmjVrUqYxmpYvX45QKIRZs2bB7/ejZ8+e0DQtZb8PPvgAZ5xxBrxeL2bNmoXDDz8cn332GZ5//nk88MADtn1PPPFEJicqIGvXrsWkb3wL27d+kDItlIgYY9tryZIlOOaYY3DBBRfA4/Hg+eefx//8z/9A0zTMmTPHtu+2bdtwySWXYObMmZg+fTqefPJJXH311Rg9ejSOOeYYjBs3Dv/7v/+LRx99FD/4wQ8wYsQIALB+tte9996LBQsWWFP36+vr8d577+H999/H17/+dVxyySWYM2cOVq5ciRNOOMH23JUrV2L8+PE47LDDrG0HDx7EN7/5TVx22WWYOnUqlixZgssuuwwrV67EjTfeiOuvvx7Tpk3Dww8/jEsuuQRffvklSktLbce99NJLMWLECDz44IN48cUXcf/996Nnz574xS9+gbPOOgsPPfQQVq5ciVtuuQUnn3wyxo0bBwDQNA0XXHAB3nrrLcyaNQsjRozAhx9+iIULF+Jf//qXtWb86aefTlmqMHToUFsbpk6diiOPPBI//vGPbQMGye677z7ce++9GDt2LObPnw+fz4d33nkHr732Gs4++2xrv9GjRwMA3n777ZTPkTqOEAJKxUBI/jKoez5u+wkECKIcW758uQCQ9ub3+zM+7+233xZer1dcc801rR5/27ZtAoB47LHHbNsjkYjo06ePOP7440U4HLa2P/HEEwKAOPPMM9v9HoqLi8X06dPTPnbPPfcIAGLv3r3illtuEUcccYT12MknnyxmzJghhBACgJgzZ06rr7Nw4ULrWJm88sorAoD4y1/+Yts+cuRI23syP/fJkycLTdOs7WPGjBGSJInrr7/e2haLxUT//v1tz9++fbsAICorK0Vtba21/c477xQAxKhRo0Q0GrW2X3755cLn84lQKCSEEKKhoUFUVFSI6667ztbOmpoaUV5ebts+Z84cke7ryGxDWVmZ2LNnT9rHli9fbm0bN26cKC0tFV988YVt38T3b5o1a5YIBoMp28l9NE0TUlFvAU9ASD2PaPsJRN0IY2z7Y6wQQjQ3N6dsmzx5shgyZIht26BBgwQA8cYbb1jb9uzZI/x+v7j55putbc8884wAINatW5dy3DPPPLNdn8OoUaPEeeed1+o+l19+uejXr59QVdXa9v7776fEwTPPPFMAEKtWrbK2bdmyRQAQsiyLjRs3WtvN84nE55uf96xZs6xt5jmCJEniwQcftLYfPHhQBINB29/u6aefFrIsizfffNPW/qVLlwoA4u2337a2Zfq7m224/PLLMz5m+ve//y1kWRbf+ta3bJ+NEOljv8/nE7Nnz07ZTh3nD3/4g4DiF5AU8dFHH+W7OQWBU9ap0yxevBhr1qyx3f7yl7+k3bempgaXXHIJjj/+eDz++OOtHnf//v0AgB49eti2v/fee9izZw+uv/562zquq6++GuXl5Yf4btKbNm0atm3bhnfffdf66WQqXUVFBQDgz3/+c9oRYACYNGkS+vXrh5UrV1rbPvroI3zwwQdp19/NnDnTNr3r1FNPhRACM2fOtLYpioKTTjoJ//nPf1KeP3XqVNvndeqppwIArrjiCts6rlNPPRWRSMSaNrdmzRrU1tbi8ssvx759+6yboig49dRTsW7duvZ8JACAiy++GJWVla3us3fvXrzxxhu45pprMHDgQNtj6aa39ejRAy0tLWhubm53Oyg/Vq9eDRFpgmfoORAHt+OTTz7Jd5OIXIcxtn2CwaD1uzmr4Mwzz8R//vMf1NXV2fY9+uijccYZZ1j3KysrMWzYsLSx8lBUVFTg448/xr///e+M+1x11VXYtWuXLXauXLkSwWAQF198sW3fkpISXHbZZdb9YcOGoaKiAiNGjLBiOBCP5+neT+JsCvMcIfncoaKiIuXzeOaZZzBixAgMHz7cFvvNfC1OYv/111/f5j6rV6+GpmmYN28eZNnerckU+5NnklDHiUQiuGTaDCh9R0PudRSOG3tOvptUEDhlnTrNKaec0q6EM7FYDN/+9rehqir+9Kc/we/3t+v4Imk60xdffAEAOPLII23bvV5vSkKZ5DIY5eXltqDdXieccAKGDx+OVatWoaKiAtXV1Y6Shl166aVYtmwZrr32Wtxxxx2YOHEiLrroIlxyySVWoJFlGd/5znewZMkSNDc3o6ioCCtXrkQgELDWsiVK7pyaJ0rJ0wnLy8tx8ODBQ3o+AOsY5olFpvdfVlaWdns66TIHJzNPCI499th2HdP898LELu6mqioumnYN5KpRkII9IPc8EseO/Qa02s/z3TQiV2GMbZ+3334b99xzDzZs2JByQbaurs52MSE5/gF6hy5drGyPTJ/D/PnzceGFF+Koo47Csccei3POOQdXXnklRo4cae379a9/HX379sXKlSsxceJEaJqG//f//h8uvPDClOnm/fv3T4lt5eXlbcbtROlifyAQQO/evVO2mxdtAD32f/rppxkvou/Zsyft9nTaE/s/++wzyLKMo48+ul3HFEIw7udQcMg4QJIh9ToSkhpB7JM/Yt26dZgwYUK+m+Zq7JCT69x6663YsGED/vrXv6J///5t7m+uj8s2QAJA3759bfeXL19uJRdxatq0aViyZAlKS0tx6aWXplyxbU0wGMQbb7yBdevW4cUXX8TLL7+M3/3udzjrrLPw6quvWmvGr7rqKjz88MNYvXo1Lr/8cqxatQrf/OY3045KJK4zb2t78gmX0+cnHsMc4X/66adRXV2dsp+TLKnZnLi15eDBgygqKsrJsanjrFy5EtBikHsdBQCQq0ch9ukf8d577+UsozRRV9adY+xnn32GiRMnYvjw4XjkkUcwYMAA+Hw+vPTSS1i4cGHKzLS24pxTmT6HcePG4bPPPsOf//xnvPrqq1i2bBkWLlyIpUuXWiPViqJg2rRp+OUvf4nHH38cb7/9Nnbt2pV2Zly2cbutfdvzfE3TcNxxx+GRRx5Ju6+T3AK5iM+1tbUpFxWoY9TV1UGr2Qxl4BmQJBnwBCBXHYezzpsKtXGPo/9Xuxt2yMlVfvvb32LRokVYtGgRzjzzzHY9Z+DAgQgGg9i+fbtt+6BBgwDoV2sTr6BHo1Fs374do0aNsraZmUxNxxxzTLZvAdOmTcO8efPw1VdfZUxS1hpZljFx4kRMnDgRjzzyCH784x/jrrvuwrp16zBp0iQA+ijwCSecgJUrV6J///7YsWMHHnvssazbnAtmcpY+ffpY7c6kI65WmyMyH330Ubv23759u+PEO9S5IpEIpl83B0r1CZBk/URQ8hZB7j0cp5x1IbT6nXluIVFh6e4x9vnnn0c4HMZzzz1nGwF2Mo06mZP41drn0LNnT8yYMQMzZsxAY2Mjxo0bh3vvvdc2dfyqq67Cz372Mzz//PP4y1/+gsrKSkyePDnrtufC0KFD8c9//hMTJ05s87PpiNg/dOhQaJqGTz75BMcff3yr++7cuRORSISxP0d6HnUGpGAPSGXxC31y5dHQ9m3B//t//y8l6TDF8VIFucZHH32Ea6+9FldccUXasl6ZeL1enHTSSXjvvfds20866SRUVlZi6dKliEQi1vYVK1agtrbWtu+kSZNst+Sr2E4MHToUixYtwoIFC3DKKac4em66smFmgEksFwIAV155JV599VUsWrQIvXr1wrnnnpt1m3Nh8uTJKCsrw49//GNEo9GUx/fu3Wv9XlxcDAApfxcnKisrMW7cODz55JPYsWOH7bF0V//ff/99jB07NuvXo9wLDj0TkD2Qetinv8p9RkI07bVKCxFR2xhj4yO8iTGhrq4Oy5cvz7o9TuJXps8hcco3oK8BP+KII1Li/siRIzFy5EgsW7YMf/zjH3HZZZdlVZM7l7797W9j586d+OUvf5nyWEtLC5qamqz7xcXFhxT3AWDKlCmQZRnz589PmeGQHPs3bdoEAIz9OfDll19C2/sJ5H4n2y60SLIHSt8TccWM7yIUCuWxhe7mrv+LqUv7y1/+Yqsfaho7diyGDBmCGTNmANBLm/zmN79Ju08mF154Ie666y7U19dba5O9Xi/uv/9+fPe738VZZ52FSy+9FNu3b8fy5ctbPVZHcHKyk2j+/Pl44403cN5552HQoEHYs2cPHn/8cfTv39+qwWmaNm0abrvtNjz77LOYPXs2vF5vRzS9w5SVlWHJkiW48sorceKJJ+Kyyy5DZWUlduzYgRdffBGnnXYa/u///g9AvBTJ//7v/2Ly5MlQFMWWkKa9Hn30UZx++uk48cQTMWvWLAwePBiff/45XnzxRVvd0U2bNuHAgQO48MILO+S9UsdramqCVvNPKP3H6FPfEkgeP+Q+x+Ks874NtXE31wMSgTG2Pc4++2z4fD6cf/75+O53v4vGxkb88pe/RJ8+ffDVV19ldczjjz8eiqLgoYceQl1dHfx+v1XnvL2OPvpojB8/HqNHj0bPnj3x3nvv4Q9/+ANuuOGGlH2vuuoq3HLLLQCQdrp6vl155ZX4/e9/j+uvvx7r1q3DaaedBlVVsWXLFvz+97/HK6+8Yi03Gj16NP7617/ikUceQb9+/TB48GBb0rn2OOKII3DXXXfhRz/6Ec444wxcdNFF8Pv9ePfdd9GvXz8sWLDA2nfNmjUYOHAgS57lwKBRZ0EqHwS5KHU5gNRjKLD3YxQPPQPqznfz0Dr3Y4ecOs28efPSbjeD9969e9HU1GTVo0y3TyZXXnkl7rjjDjz33HO2ADVr1iyoqoqHH34Yt956K4477jg899xz+OEPf3jobygHLrjgAnz++ed48sknsW/fPvTu3Rtnnnkm7rvvvpT14VVVVTj77LPx0ksv4corr8xTi1s3bdo09OvXDw8++CAefvhhhMNhHHbYYTjjjDOsk0MAuOiii/C9730Pv/3tb/Gb3/wGQoisOuSjRo3Cxo0b8cMf/hBLlixBKBTCoEGD8O1vf9u23zPPPIOBAwc6TgZEnafsyDMh+YohlacmVQIAufIYxPZ9ihdffBHf/OY3O7l1RO7DGNu2YcOG4Q9/+APuvvtu3HLLLaiursbs2bNRWVmJa665JqtjVldXY+nSpViwYAFmzpwJVVWxbt06Rx3y//3f/8Vzzz2HV199FeFwGIMGDcL999+PW2+9NWXf73znO7j99tsxdOhQxzMEOoMsy1i9ejUWLlyIp556Cs8++yyKioowZMgQfP/738dRRx1l7fvII49g1qxZuPvuu9HS0oLp06c77pAD+mDG4MGD8dhjj+Guu+5CUVERRo4caTs30jQNf/zjH1Mqz9Ch++c//wlRux2e4d9K+7gkSVD6nQx1+zrs37/fyktBcZLINjMFkcvMnDkT//rXv/Dmm2+2ue/48eMBoOCnvH7rW9/Chx9+iG3btuW7KQUjHA7j8MMPxx133JH1KAvlVm1tLXr0roJy+ATIpf0y7qfu/Rja/n9DbdrHZDFEOdYdY6wb7du3D3379sW8efNce+HDjVavXo1p06bhs88+O6QlE5RKLjsMUqAHlMNav0AU++xVSIEKqHval+unO+EZDHUZ99xzD9599128/fbb+W5Kp/jqq6/w4osvunZ03K2WL18Or9fbrvqmlB+9hp8JKdgTUknrJ01yr2GAGsHvfve7TmoZUffV3WKsW61YsQKqqjL2O/TQQw/hhhtuYGe8g73yyisQzfsgV41qc1+l30nQ9m1JW/e+u+MIOXVLhXz1fvv27Xj77bexbNkyvPvuu/jss8/SlhUjKkS7d+9Gdb/+UIZOhlzc9pRPbf+/oO7+AJHG/a7Lo0DUXRVyjHWr1157DZ988gl++MMfYsKECfjTn/6U7yZRN6eqKjwllZB7HgGlz7Htek5sx1uAFoN2kJ3yRBwhJyow69evx5VXXont27fj17/+NTvj1KX0O3YCpJK+7eqMA4DU8whAkhAcMj63DSMiyqP58+dj7ty5OP74411X5pS6J//g8YAWhdy7/WXklOoTIOq/xN///vectasQcYSciIhc4YsvvsDhg4fCc9Q3IQV7tvt52sHtUHf9Hc11+xAMBnPYQiIiIgIAqagXlN4jIPc6qu2dE6g7/w4Ra4F24LMctazwcISciIhc4Z133oEUqHDUGQcAqeJwQI3gs88Y3ImIiDrDiMOrAG+x8yd6i3HRWSw9l4hlz4iIyD1kBZKsOHqKlPBfIiIi6hySLDuP2Sw7l4Id8jZomoZdu3ahtLSU/4CIiBIIIdDQ0IB+/fp1aNkxp8FdfxK/n7s7xmsiovRyFq8l5x1ySJygnYwd8jbs2rULAwYMyHcziIhc68svv0T//v076GhSdh1y6vYYr4mIWtex8RpAFh1yqQMvCHQV7JC3obS0FADw723brN+JiAhoaGjAkUcc0bHfjRI75JSddPFaYt5acgnBWRuURzmJ1+CU9Y7CDnkbzH80paWlKCsry3NriIjcpyODqyQBksIOOTmXLl6zQ05uwQ45uUFHd4YlWXYeszllPQU75EREREREROSIJCuQOWX9kLFDTkRELiI5Du5ERETU+bJJ6sYp66nYISciIhfhGnIiIqJCwCzrHYMdciIicg1JyrLsGeuQExERdS5ZcjwFnSPkqdghJyIiF3Ee3ImIiKjzcYS8Y7BDTkRE7pHtCDkvuBMREXUqSVa4hrwDsENOREQuwjXkREREBSGrpG4cIU/GDjkREbmHlF2HnNfbiYiIOldWdci5LC0FO+REROQaEuA8uBMREVGnk2SWPesIvERBRETuYYyQO705GSNfsmQJRo4cibKyMpSVlWHMmDH4y1/+Yj0eCoUwZ84c9OrVCyUlJbj44ouxe/fuHLxZIiKiwmUmdXMUrzllPQU/ESIicpFsO+Tt179/fzz44IPYtGkT3nvvPZx11lm48MIL8fHHHwMAbrrpJjz//PN45plnsH79euzatQsXXXRRLt4sERFRwZJkGbKsOLpxDXkqTlknIiLXkCRAznFSt/PPP992/4EHHsCSJUuwceNG9O/fH7/61a+watUqnHXWWQCA5cuXY8SIEdi4cSO+9rWv5bRtREREhUKSmGW9I7BDTkRELpJ9lvVIJIL6+nrbNr/fD7/fn/E5qqrimWeeQVNTE8aMGYNNmzYhGo1i0qRJ1j7Dhw/HwIEDsWHDBnbIiYiIDNmsIeeU9VT8RIiIyD2yXUMuAcuWLUN5ebnttmDBgrQv8+GHH6KkpAR+vx/XX389nn32WRx99NGoqamBz+dDRUWFbf+qqirU1NR0wgdARERUILJYQy4xy3oKjpATEZGrZDtCfu211+LBBx+0bcs0Oj5s2DBs3rwZdXV1+MMf/oDp06dj/fr1Wb0uERFRdyRlVYecU9aTsUNORERdgs/nQ1lZWbv3PeKIIwAAo0ePxrvvvouf//znuPTSSxGJRFBbW2sbJd+9ezeqq6tz0WwiIqKClP2UdTUn7SlUnDNAREQukvuyZ+lomoZwOIzRo0fD6/Vi7dq11mNbt27Fjh07MGbMmEN8b0RERF2ILENSFGc3riFPwRFyIiJyDUnKPqlbe915550499xzMXDgQDQ0NGDVqlV4/fXX8corr6C8vBwzZ87E3Llz0bNnT5SVleF73/sexowZw4RuRERECbIpPQquIU/BDjkREbmHBEhKbjvke/bswVVXXYWvvvoK5eXlGDlyJF555RV8/etfBwAsXLgQsizj4osvRjgcxuTJk/H444/ntE1ERESFhmvIOwY75ERE5CK5HyH/1a9+1erjgUAAixcvxuLFi3PaDiIiokKWTYecZc9SFdQn8sYbb+D8889Hv379IEkSVq9e3er+r7/+uj79MenG0jVERG6V7RpychPGayKirk+SJcgObxwgT1VQI+RNTU0YNWoUrrnmGlx00UXtft7WrVttmXf79OmTi+YREdEhkqTsy56RezBeExF1fXrMdtbD5pT1VAXVIT/33HNx7rnnOn5enz59bOVriIjIrfQr6M6fxgDvJozXRETdgDGbydlTGK+TFdSU9Wwdf/zx6Nu3L77+9a/j7bffbnXfcDiM+vp6242IiDqJcbXd8S3f7aYOwXhNRFQ4ZIlT1jtCl+6Q9+3bF0uXLsUf//hH/PGPf8SAAQMwfvx4vP/++xmfs2DBApSXl1u3AQMGdGKLiYgo3Vritm5U2BiviYgKTzYX0NkjT1VQU9adGjZsGIYNG2bdHzt2LD777DMsXLgQTz/9dNrn3HnnnZg7d651v76+nkGeiKiTSEB2U9apoDFeExEVoKzWkOeoLQWsS3fI0znllFPw1ltvZXzc7/fD7/d3YouIiMgiSY6DO3VNjNdERO4mSxJkriE/ZN2uQ75582b07ds3380gIqIM2CEngPGaiMjtrGnojp6Um7YUsoLqkDc2NmLbtm3W/e3bt2Pz5s3o2bMnBg4ciDvvvBM7d+7EU089BQBYtGgRBg8ejGOOOQahUAjLli3Da6+9hldffTVfb4GIiFohSXB8tZ3ch/GaiKgbYNmzDlFQHfL33nsPEyZMsO6ba8emT5+OFStW4KuvvsKOHTusxyORCG6++Wbs3LkTRUVFGDlyJP7617/ajkFERO7CEfLCx3hNRNT1mVnWnWB/PFVBdcjHjx8PIUTGx1esWGG7f9ttt+G2227LcauIiIgoEeM1EVE3IAOSw5pd7JCnKqgOORERdX0cISciInK/rEqPskeegh1yIiJyDSmL6W9ERETU+bKbss4Yn8zhJAMiIqLckmTnN2ZtJSIi6mRSPNN6u28O4/WCBQtw8skno7S0FH369MGUKVOwdetW2z6hUAhz5sxBr169UFJSgosvvhi7d+/uwDeaW+yQExGRe0jxKXBObkRERNS5HHfGZcnxlPX169djzpw52LhxI9asWYNoNIqzzz4bTU1N1j433XQTnn/+eTzzzDNYv349du3ahYsuuqij327OcMo6ERG5hgRwyjoREVEBkCTJcalSp6PBL7/8su3+ihUr0KdPH2zatAnjxo1DXV0dfvWrX2HVqlU466yzAADLly/HiBEjsHHjRnzta19z+Iqdjx1yIiJyFSZ1IyIicj8pizrkkCVomob6+nrbZr/fD7/f3+bT6+rqAAA9e/YEAGzatAnRaBSTJk2y9hk+fDgGDhyIDRs2FESHnFPWiYjIPSTn098kWeISciIiok6WVbyWgC1btqC8vNx2W7BgQZuvp2kabrzxRpx22mk49thjAQA1NTXw+XyoqKiw7VtVVYWamppcvO0OxxFyIiJyFafT34iIiKjzZVMZRZIkDB8+HBs3brRtb8/o+Jw5c/DRRx/hrbfecvSabscOORERuUZW09+IiIio02WbWFWWZZSVlTl6zg033IAXXngBb7zxBvr3729tr66uRiQSQW1trW2UfPfu3aiurnbctnzglHUiInKVrLK2EhERUZcjhMANN9yAZ599Fq+99hoGDx5se3z06NHwer1Yu3attW3r1q3YsWMHxowZ09nNzQpHyImIyFWyy7LOTjkREVFn0me1OX+OE3PmzMGqVavw5z//GaWlpda68PLycgSDQZSXl2PmzJmYO3cuevbsibKyMnzve9/DmDFjCiKhG8AOORERuQjrihMRERUGSXZ+Ed3prLYlS5YAAMaPH2/bvnz5clx99dUAgIULF0KWZVx88cUIh8OYPHkyHn/8cUevk0/skBMRkas4vdquP6nDm0FEREStkCTny8acXnQXQrS5TyAQwOLFi7F48WJHx3YLdsiJiMg9pGynrBMREVFn4qy2jsEOORERERERETmSbdkzsmOHnIiIXIVZ04mIiNxPkp3HbPbHU7FDTkREriGBV8+JiIgKgSxJUBx2yLksLRU75ERE5B5ZTH8jIiKizifLzjvkkgSg7Txt3Uo2uWyJiIhyRpIlxzcnFixYgJNPPhmlpaXo06cPpkyZgq1bt9r2CYVCmDNnDnr16oWSkhJcfPHF2L17d0e+TSIiooImS4BidMrbe5M5Cy4FO+REROQaUhbBXZElR1XP1q9fjzlz5mDjxo1Ys2YNotEozj77bDQ1NVn73HTTTXj++efxzDPPYP369di1axcuuuiijn/DREREBUqRnMdrToJLxSnrRETkGhLgePqbKRKJoL6+3rbN7/fD7/fbtr388su2+ytWrECfPn2wadMmjBs3DnV1dfjVr36FVatW4ayzzgIALF++HCNGjMDGjRvxta99Lav2ERERdSXZTVlnjzwZR8iJiMhVshkhB4Bly5ahvLzcdluwYEGbr1dXVwcA6NmzJwBg06ZNiEajmDRpkrXP8OHDMXDgQGzYsCEH75iIiKjwKJIEj+zsxinrqThCTtQOgsknHOP3LWVDyiJjq/5E4Nprr8WDDz5o25w8Op5M0zTceOONOO2003DssccCAGpqauDz+VBRUWHbt6qqCjU1Nc7bRkR2Qst3Cw6d1DljWl3h/IPnA12XLDuf1cYp66nYISciItc4lCnrPp8PZWVljp4zZ84cfPTRR3jrrbeyek0iIqLuKquyZ7xCk4IdciIicg1JAjxZdMizCe833HADXnjhBbzxxhvo37+/tb26uhqRSAS1tbW2UfLdu3ejuro6i1ciIiLqevQ15M5mizitjNIdFNQa8jfeeAPnn38++vXrB0mSsHr16jaf8/rrr+PEE0+E3+/HEUccgRUrVuS8nURElL1s15C3lxACN9xwA5599lm89tprGDx4sO3x0aNHw+v1Yu3atda2rVu3YseOHRgzZkyHvMeujvGaiKjrk5llvUMUVIe8qakJo0aNwuLFi9u1//bt23HeeedhwoQJ2Lx5M2688UZce+21eOWVV3LcUiIiyoaURXB32iGfM2cOfvOb32DVqlUoLS1FTU0Nampq0NLSAgAoLy/HzJkzMXfuXKxbtw6bNm3CjBkzMGbMGGZYbyfGayKiri+7Djl75MkKasr6ueeei3PPPbfd+y9duhSDBw/Gz372MwDAiBEj8NZbb2HhwoWYPHlyrppJRERZ0teQ5/Za8ZIlSwAA48ePt21fvnw5rr76agDAwoULIcsyLr74YoTDYUyePBmPP/54TtvVlTBeExF1fdlcFGd/PFVBdcid2rBhg61sDQBMnjwZN954Y8bnhMNhhMNh635yTVsiIsohKdukbu1/jmhH2uJAIIDFixe3e4SXDg3jNRFR4ZElvfSZo+dklfWlayuoKetO1dTUoKqqyratqqoK9fX11tTEZAsWLLDVsB0wYEBnNJWIiKjbYrwmIio8WU1Z5yLyFF16hDwbd955J+bOnWvdr6+vZ5AvYLmu36l1hQKhhyjTWqCO+mg4tal7OZSyZ9S9MF67QAfXE5c6uj55a8fLso64MJ+X6djZHreVmNkR5xrpjtDR37QdfT7A+O9+chZT1hniU3XpDnl1dTV2795t27Z7926UlZUhGAymfY7f74ff7++M5hERURIJzoO7/jwqZIzXRESFR5Ekx6VKmdQtVZfukI8ZMwYvvfSSbduaNWtYtoaIyK2yWI9mPo8KF+M1EVHhkbPI+8L+eKqCWkPe2NiIzZs3Y/PmzQD0MimbN2/Gjh07AOjT16666ipr/+uvvx7/+c9/cNttt2HLli14/PHH8fvf/x433XRTPppPRERtMKes57LsGeUe4zURUdcnZxGvOUKeqqBGyN977z1MmDDBum+uHZs+fTpWrFiBr776ygr2ADB48GC8+OKLuOmmm/Dzn/8c/fv3x7Jly1hChYjIpaSss6yTmzBeExF1fWZSN2fPyVFjClhBdcjHjx/farmaFStWpH3OP/7xjxy2ioiIOo7z9WjkPozXRERdnyJnM2WdMT5ZQXXIiYioa8s2yzrDOxERUefKboScETsZO+RUkA61AoiTEiLZvJTWBauhZfq+VVv5LJ185R5quRR+v3cNnLJO5EIOypE5Ll3Wnv3bGwgcvbZqv9tWuTIjyKS8v6TnpbQ0w3GT31LyeUm6d9zWuUVrs1Lao70jl+05H3D6LZ7uHCDT22G8dw+WPesY7JATEZGrsENORETkftmMkEuM8SnYISciItfgCDkREVFhkLNYQ84Qn4odciIicg0JLGNGRERUCLiGvGOwQ05ERO6R7Qg54zsREVGnUrKZss54nYIdciIicg1mWSciIioMsqR3yh09hxE7BTvkRETkGlxDTkREVBgkSXI8BV2Ssqtg1JWxQ04FwWklj9bKmjktJdJaGZFMzzuUL5pclkw7lH5OW09Nd+zWSqgk72+WS8n0jLa+8JP/TJwSRUTkgNNyZXBQ4ix5v0xxNWm/jMdPt72ttmR6PFO5s+Ttxn2Rst14L4ll0SQ5vp9x39aUhLevCWE7ZzDPARLPPaxtSU3Mpgxa66XNRMbzhMTNZsG45H0zHTtlvzT7pDtvy6YcKmN/59JHyJ0/R217t26FHXIiInIRJnUjIiIqBLIkQXa8hpwxPlmGy4JERESdz1xD7vRGREREnUuWJD2xm4Ob0zXkb7zxBs4//3z069cPkiRh9erVtseFEJg3bx769u2LYDCISZMm4d///ncHvsvcY4eciIhcQzISxDi9Ma0bERFR55JgjJI7uDkdIG9qasKoUaOwePHitI//5Cc/waOPPoqlS5finXfeQXFxMSZPnoxQKHTob7CTcMo6ERG5CmuUEhERuZ+SzRpyh69x7rnn4txzz037mBACixYtwt13340LL7wQAPDUU0+hqqoKq1evxmWXXebw1fKDI+REROQaEuIB3smNXXgiIqLOJcn6GnInN0mSoGka6uvrbbdwOOz49bdv346amhpMmjTJ2lZeXo5TTz0VGzZs6Mi3mlPskBMRkXtIcBzcnSaUISIiokMnwdl0dXPK+pYtW1BeXm67LViwwPHr19TUAACqqqps26uqqqzHCgGnrJOrtLe8WWtlzYC2S5sllwJJLh2SrgRJxueme/0MzctlSbOOkrHkSYbtsm0f+06yFH/DyU8XrZRLSdeGtv7mydOcM+3O2dDuJsFcE05EbtHu8mZAhpJkyYE0vo/t2ObvyT8BQGulJJq1f+bXaVNKOTPJtt0sYybJsn1/SbaXOdMbB0nSrMcTHxPCXupME/p5he0cBfbyZ1rCc4H0pdGA9OcjqUTG0bh0cTjx61hO2k8VSfsmtCcxjmtIPjdI89pp2pMp7nNZk3tkM2VdkoDhw4dj48aNtu1+v78DW1ZY2CEnIiJX4ckWERGR+0nGqLcTMiTIsoyysrJDfv3q6moAwO7du9G3b19r++7du3H88ccf8vE7C6esExGRa2S7hpyLyImIiDqXLDkvVdqR19wHDx6M6upqrF271tpWX1+Pd955B2PGjOm4F8oxjpATEZFrSMYaciIiInI3OYsR8uTljW1pbGzEtm3brPvbt2/H5s2b0bNnTwwcOBA33ngj7r//fhx55JEYPHgwfvjDH6Jfv36YMmWKo9fJJ3bIiYjIVThlnYiIiADgvffew4QJE6z7c+fOBQBMnz4dK1aswG233YampibMmjULtbW1OP300/Hyyy8jEAjkq8mOsUNOedHe5G2m5MQebT09XcKT5IQpGfdLal/yPolJU8zkLMmSj5/yuAuTu2VM2pacfM3aLqU8TzbeuXn1MzkpTKYEcLJkTwaTmPAt+ViZJP8dMnXqmOzN3cwp69k8j4ja4CTJWbbH09SUTSlJ4WzJ2mIJv2v2/ROTtQktNZFb0n7W41qaJG9tvXcrSZsZsJKTuXls+wnrvgQhe+LJ3mSPnsjNfBxGOyUl3hTEzw9UTU/wpmrxcwxVi59zqAnnGap1PmIeWdjvt+PcQrbF14TtkCAlJGKVjXKSibFUkvQ4bn1ErcR4JeGFpORzuDRf2EqaIJ/N93pb51eM9R1L7oQ65OPHj09JYJhIkiTMnz8f8+fPd3hk9+AaciIichHnJVSyGVF/4403cP7556Nfv36QJAmrV6+2PS6EwLx589C3b18Eg0FMmjQJ//73vzvoPRIRERW+bMuekR075ERE5BpSFgli0o2stKWpqQmjRo3C4sWL0z7+k5/8BI8++iiWLl2Kd955B8XFxZg8eTJCodChvkUiIqIuQZadx2wuS0vFKetEROQqnRGszz33XJx77rlpHxNCYNGiRbj77rtx4YUXAgCeeuopVFVVYfXq1bjsssty3j4iIiK3k6W2lxQmY388FUfIiYioS4hEIqivr7fdwuGw4+Ns374dNTU1mDRpkrWtvLwcp556KjZs2NCRTSYiIipYMiQokrObzKwvKQpuhHzx4sV4+OGHUVNTg1GjRuGxxx7DKaecknbfFStWYMaMGbZtfr+fUw67IDUpk4mViC3dNiGsxGyJiVASk7YlJmsT1uPGvhBJz4tvR8pxjUQsSblk0iWCS6cjRgqzfS1FTv+4uZuSJnGb+SUrScJKCGM+10wGoz8uQU5IHpP8WGKLrWQwSZdgWRmra8o2qRsALFu2DEuWLLFtu+eee3Dvvfc6Ok5NTQ0AoKqqyra9qqrKeozahzG7cKQkXkuU6bE08SXtcRITtyUdT1ITk7rpCeEkc38rSVtMP25CsjZJi9mTumkqhPl4LAKhJiSX0zTr2CIp6ZwkK7b7MO5LXq/+0+Mzfur3heKzPU8oHkiyx9oOOaZvM9omFB8koUFA318TApoAYpp5fiCgCiCadF9NOH+I/67/DMU061jmPrb7af4u8ZgtWfFdNjpIidsTY72SEKvNGK9vF9Zz9GMbr5EYmBPOy5KXFaVLPiel2ZYpzrd2XsPp0J0ru7JnOWpMASuoDvnvfvc7zJ07F0uXLsWpp56KRYsWYfLkydi6dSv69OmT9jllZWXYunWrdd9p7TsiIupc2Z5QXXvttXjwwQdt2/x+f0c0ibLAmE1E1LXJUuoATlv4tZ6qoKasP/LII7juuuswY8YMHH300Vi6dCmKiorw5JNPZnyOJEmorq62bskjHkRE5B6HktTN5/OhrKzMdsumQ15dXQ0A2L17t2377t27rceobYzZRERdm5RFVRSJU9ZTFEyHPBKJYNOmTbY1fbIsY9KkSa2u6WtsbMSgQYMwYMAAXHjhhfj4449bfZ1wOJyyBpGIiDqPmSTGya0jw/vgwYNRXV2NtWvXWtvq6+vxzjvvYMyYMR34Sl1XZ8RsxmsiovySjaUNjtaQsz+eomA65Pv27YOqqo7W9A0bNgxPPvkk/vznP+M3v/kNNE3D2LFj8d///jfj6yxYsADl5eXWbcCAAR36PoiIKDMpiwQx5hpIJxobG7F582Zs3rwZgJ7IbfPmzdixYwckScKNN96I+++/H8899xw+/PBDXHXVVejXrx+mTJnSsW+4i+qMmM14TUSUX05Hx/WcQuyRJyuoNeROjRkzxjaaMXbsWIwYMQK/+MUv8KMf/Sjtc+68807MnTvXul9fX88g34kyJepI3pqcECT5vnk3MdlbYiI3c3tiAjdVJDxuJF2x39c3RFVhJUyJqgnbE17LOr6VYKX195dJurW0rSW8UtMc/lBf03w9r7FIyLyy6ZVlY7uZ1EWyfjcTxVgJ4GRhJYPR9xVWojdAvzJoTjuWEpLmIWF7cuK+tpK8ZXrfTPjibpLUOX+j9957DxMmTLDum9/706dPx4oVK3DbbbehqakJs2bNQm1tLU4//XS8/PLLCAQCOW9bd+U0ZjNeu0C6BG7t2GZL5KZG49vNZG7GTykWtZ4vaTFrXxGLQotGrCRvIhaBiEUBY38RjehJ3sznJyZ8M5O6mT/NpG5mMjcjtsFM5ubT/5+X/PpPOVBsv+8L6InbPBH9tRUfIPwQxhm2JMkQCd9pAkbiNiOmRVSBqCZg5GkzfhcIGxtCMQ1hNf47AIRjqrUvoJ+LAKlJ3RIvViYmYJONgOlNqAntVWR45Xgc98oyvEr8gqdXMZYIJSSFM88PNPMnEmRI8AakJnkD4ol1bRivXS+bNeQcIU9VMB3y3r17Q1GUQ1rT5/V6ccIJJ2Dbtm0Z9/H7/UwCRESUR06DOwDHc9bHjx+f/gTQPJwkYf78+Zg/f34WjaHOiNmM10RE+WWuIXf0nBy1pZAVzJR1n8+H0aNH29b0aZqGtWvXtntNn6qq+PDDD9G3b99cNZOIiA6BhOymwJG7MGYTEXV9kpTdjewKZoQc0KcUTp8+HSeddBJOOeUULFq0CE1NTVbd0quuugqHHXYYFixYAACYP38+vva1r+GII45AbW0tHn74YXzxxRe49tpr8/k2qAO0NrIFxGdHJU6fMut0qiI+JVoVAqqm1xBPfFzVhDUFLKppiBpTygAgqmq2381pZYlT1qPGwZKnqqerDZoseYpZ4hR1uR3zfLTEqfPCPnXbyesn1xc1p6x7jTZ4jPsBT3x74j5eRbJNazenugH6CKgMJEx7k6x2K5Jku1Ro1iZNnqqf8m+A3/BdRjZrwsl9GLPJoiVNY0+oBS4l1CiXVH3atzn13HxMRMP6tPSwXpNexKIQkZA+NR3Qf4+EEh6PQIvGoEX152uRGNRo1Po9HclcluXVT409QX32hafImJoe1Keqa0VltvtSoAhysBiSMZUdHnudcyHJgBw/3dYEjLrj+v2IJhBR9RsANEdV46ZZ91uiqvU7ADSG9ffQEtHvR4zzEPNnOj4jVvs8ctrfA4oMryLDb9z3G/cDtvt6XPd5ks4PrHOTeFxOHPGTkgJ4UuV3KmAy9Pr0TjDLeqqC6pBfeuml2Lt3L+bNm4eamhocf/zxePnll62kMTt27IAsx78CDh48iOuuuw41NTXo0aMHRo8ejb/97W84+uij8/UWiIioFdlMfyN3YswmIur6GLIPXUF1yAHghhtuwA033JD2sddff912f+HChVi4cGEntIqIiDpKNmvIeT7gTozZRERdl1l61Al24FMVXIecCovDBN8ZJSfYTnmdlNcVKa9vTtdWtXhGdXPKuioEIjF9Y1hVEVVFPJupqtmmpodUzZrOHoqp1pQx8ycQnzZmPsfMppqSKTyJIktW9lGP8bt5P/F3836i5Ncws7iqRsbWxG1ttSHxpz9halviz6BPn3RW7NO/RgIe2Zq25vcYU98SprX7PbI1hd3n0afim5PrNClhSroMyCIxI63xt8zxN3hr/1YZPDqPuYY8u2cSdXPpMpx3yHHTf0FK7cyynrJf4n0tMeO6HketqerhZuNnyJqWrt9vgRZqhgi36IcINSPWFEK0Sb8fC0WghiKIhfQp7WoobE1VV41p7EJNyvxuxCtPQM+urgT0Keu+0iIAgL9Hif6zolTfr6xcf15RGUQkBNmYEi8XlxoLZfXjCdkDKPHXEkKv1BIxXj9inG80hI3p6JEYGiIqGo32NoRjONCov4/aZv016lr0nw0h/Wfy1PV0EmN3kRG/gz4Pgl7999KAB0GfgpKAHtOLvQqKvArC5pR1j4IirwyvLKAJI7Z7jWn+5tKyhO/hxJYk//NJdxqSroJMptOV1qrNtIWxvoNlsSacH3OqgknqRkRE3QATxBARERUEGZLjW1cL2bNnz8bevXsP6RjskBMRkWtIyC7AExERUeeS0L0vou/duxdPPPEEPvzww0M6DqesU0FKnsaUcj/N9nhm9cTp60BMEwjHNGuKenNURVjVrGym4Zhmy3LaEolPU28IxaztjcbUMQBozpD5VGSYfyWlmZbu88hQZClhyriSOoVdkuxT8ROmpEdiKsIxDaomrNdPfLyttiRPUTfbURLwAoBtmpu+3WObxm5OUweAIq8Cf0xGkfEcTZiPGd/KsrCmKQth/7uZX9xSUnOTp6wlv51DmdJGRERZasc09sQp7LbfE7Kq6z/jWdS1lqb4lPXmemgtTYg26FPaI/VNiDQ0I1LfBACINoUQbQoj2qTH5Wgohmij/rtqxGw1Ys+Grhjxy2PENF+xHusCPfQs68He+lT1YGUP/WcvvS2+iiYgFrFlkpcVL4SiH0dSvLZldZowzz30+xFVoCGs4qBxDlEXiqEuHLWmqe9vjGBvg/5ae+r1zyVkvK+w8ZyY8V40YzmdWbUksTKLx5he7vEq8Pr1tnn9CoLG+60o8qIk4EVFUH/f5UVelBd5UWosSzOX+gU88TwfXs2oymLEcjUh7ibG4LaWHWbah3Hc/aRutIb8wIEDeOqpp7Bz506oqopwOIzXXnsNxxxzDK644gp885vfRElJCRRFQd++fTFt2jRUV1e369jskBMRkasUarAmIiLqTiR0nzXh06ZNwzvvvINjjjkGXq8XXq8XEydOxPz58/Hoo49i48aNCIfDUFUV//rXv/D4449j27Zt7To2O+TUpSXWqtYSEr0l1hw3R8et+p6RGJqj8fv1oSgaQzE0hPQr943hGFrMZCuhGBqMJCuRcDwxTcyoHxozjqEZl8K1DJeJzavYkixBMWuhemQoigzFqPfp8Srw+xRrxDpdUreWiIpYLP7aakxAVTXr9VVVs0bG29MW83UTf3r9RjKYhKvqAFBe5EOpcdU96FNQXuS1Er5FVYESn73yqCxJVsdLFpL1N5FkkZR0Jf1XPUfEuy6nV9uJqMDYkrppqdvNOuVGPXIRi+hJ3UL6CLjW0oRIbSNCtQ0AgND+eoRrGxA6qCd1C9dHEK4PI2yMKEcao9bMtkZz5lpSEPEZXzwlRowtDhrxrLee1K20Xh+xjrXoP80a52o0ioCmxU+oZRmSPwBJ0ZPDCa+wzQIQMBLKinjd8cZIDHXGOcaBlgj21ofxVZ05Kh5CrfF7s/F+mqyR8pDRpka9TTFjRoHx+cken/W6ij8IAPAGiuAzRsH9QQ+ajVlvTcVeFBf70FKiP8ecYYeS+GekGAlYo8ZnFTWyuSnGz8R5EForcVyky6zGK7EFKZtSpYW6inzDhg1Ys2YNTjnllJTH7r33Xtv9ffv2oU+fPtizZw/69OnT5rHZISciIlfheRkREZH7ZbMmvFBj/OjRo3HUUUe1a9/evXvjnHPOgaZlrnyQiB1y6pLMi6+2shswt8VHYFVNIKpptjXjzVENdeEo6szyIs1R1LZErTXitc1RtBhXsiOhGMJG+ZFwS3yEPGqMlpsj5Kq1hly1/ZRkxfZTMUbFAX2E3ONVrHVfPr8HYb8HHp8xQq7IkGTJGvFWVQ2xiGa9diQcQyyqIRZVbSPkmdpiirdF/3qIj4zr9/3GqEHIuMLebJVfiSWsJ/eiJaKi3Bg971lslJFJWP/uVSQomvFeJMm+3iyhPdaF9AL9AidnzKRuRNTJclUyDWi91lTiY0kj5MIcIY9GgVgEImyMCDeHEGloQrhWHxkO7a9D0+4mNO7R15SHDobQ2BjBAWNUvC6qocmYhlVnxOW2Rsh7t+jxrNo4F4i12MulCeNEW6gaJFmG7NHjneQLQBSFIAf0/SUtBpH02SbO1AvHNFuZs731Yfz3YAu+qtVH+xvrw6g/oP/ecMB4vwdr9J91embnSFO9/rG1MkLuMUbIfSU94C/tCQDwFpcjUKzPAAiGfIiEVVvpNL9HtnLDBBQZUU1GVIuP7qtpSsymkzoizu/4rkKP2c6fU4hee+01R/u/9NJL7d6XHXJylQ4qW95uqqbfoqqGqBafPlbXHLWSp9S1RLG/MYxGc2p6KGZNTw81RRFq0gNgpKXFOm60qQ4AEIvo21SjVmqmDrns1YOm7PFB8cR/9wRL4A3oCWX8AS8CxV5rqpnHK0OWJWvqeSyqIdIStSV7iYZCiLU0WkFajUWs37WoPXCbzAButsnj04O4J6DPW/MV64ltAkX648FSn/FeNTQbnfXmIj2oxxJOeGQpnqDOr8iIqgLGtQYIWb9QAgCig76qO/vfEnWcQr163pFmz56N+fPno7KyMt9NIep4bXT+hZp0wVhTITQNwoxfkRhiLRGED+pT1pt2N6H+vw1o3Kt3yGtCMewNqzgYtU9Tb02LkbWsxXjtvUZd8INRPa4NTerAm3XLJVmG7PXAE9TrlkvFzZAjoYzvURP6EjqzMxuKaWiJqjhgnEvsaQhjT30I9bX6xYeGAy1oOKB3uBtrtuvvd++X+rGMzyMTNdKS8nu44QBaDu4GAATKeyNarn/HRMKVUGPx91jrU1AS8KIkYlxo93sQVQVURVjT0bWkjrbt2kqrLTs0jO/uIUGC1E2mrOcSy54REZFrmBlbnd66ko4qo0JERJRL2cTrrnDRfciQIZgxYwbC4bBt+759+zBkyBDHx+MIOXUJaROEtEJLuL6qX6nWp40BQFMkhj31YavMyP7GCJqbIgiZI+Qt8WnqLQ1NiDQcABCfOgYAkWb9araZaCV5FDoT2eOzRqg9/iAUXwDe4nIAQKC8Epoot5KtAR7bCHk0HENzYwRNB+us9kSb6qBGQogZI/RqpKXdbTHFR8bL9J/GVLdIif4zFq0wXl9FNKyP3kfCMbREVERi8dcK+hSUGlPfou2pgULdVheI1e2WyzIqRDmXbhS4nWsm08oUnzTVGiUH9ERqaiiCiBGnG75qxIHdTdhhxOldoVi7RsXbo8ZYomaOaCuSnlhOMZeP+WR4iwPwlelTv71lRnk21SiFmuYzEtCTnQKwlsyZy+T2N4ZRXxdGgzVNvR4Nu/RMzY27P++Q9xQL6ecmjaFGhBsPAgCKQo0Q2kArsWtjkRctJapVKlVNOM9Sk2K45nBtWbq/DM8KClQX6WA79fnnn8Pj8eCMM87Ac889Z8VlVVXxxRdfOD4eO+TU7ZnZIc2A0hiK4b8Hm7HfyGoaaooi3BK1OuQtDS22Tniobh+AeIA7FFrClHLreMbUtKJe/eANnIBAkTllXQCJa8hj+pT1+v9uBQA07991yO1JbIf505zqFuxRpb9u5DAAQKS8EpGwfjEhEPbqU+gj8VruvUp8Vh3TbKRcdOmOEaCbcJqxFSjcTnwuy6gQuUZrU9QddOolWU7YRUPEqC1e+1UjtjZE8KVxsTwXzCnsXkmP0cGv9JjoCXjgK/bBV1YMAAj0aoYSjk8Vh2SfjCpL9u+rUExDYziG/caU9QP1YTTWxaepN+za1mEd8XTMJXZ1TXXG8rphAIDSHkGoDi+u8Fp79yOj+6whTyRJEl5++WXccsstGD16NFavXo2TTz456+OxQ055kbzuqLPFk0YJKLJexsObMO/1iy9qreRnkZYYwqEoQnX6VeRQ/V6EjU542OiYd4bm/bvQY8jxUMyyZx4ZshJPp6F4ZGia6LCOeCbmCLv5OlGjDE1RqBGxMn0tWrS0DNGwaq2vb6wLYdSACitxm1eW9M+di2Yoje50rSWXZVSIXMtpAjlZAWQlnnTU64Un4DNiILDxQAvqojlMSpdglzFiHjQCmO+/DfCX+xHopcfCWFMInsZawKOvKReKF0KOn25L0GOgzyhpWh/Sk8jub9SnvjbX66PjHT0q3h6Nuz9H1JjhN2DYeQj6PPFSq0nJV9uS2DnvnL8M5YvjNeRdIMYLIVBSUoI//elPuPPOO3HmmWfiiSeewNe//vWsjscOOXVrXkVCVJNQ5I3XyD6ubxmOv/hoKE3xznZUFYgZJxAxVSBspEeNasLKSBpR4yEnljTFK54Axf765jUA86eSpp5jvZF59Y0vVaiqZE1ZlyTJNmXd61dQXObH4KOnI3SwBmeP7Isyn/1/8cREMm21yfqMzHrk1k8jMZsRpH1GhPYrMjzG7z5ZsXW2I4EywBtAwHhOwCPDK8vWe+3ML+dMF4OyGZWljpdNxtZClssyKkQdJpcZ2NtJ8nghjEzm3rIiFAPwFutJT6efNARy/4GAEZ9EJKzfononV4vFoIX10XM1EjW2JVUYUcyL23rclP3GbLSg/hpSUF++JRnLt2TjvlxUAslfBNWnT1nf6w0i2KMSVRV6AlTIHv2CgkGRJQS98Xg5sVpBjU/DxEp9hD1yXBFaopVoig4CoFd+aTLOA5qMiw7Nxv2QkbQubGxPnkquJAR0r/H+Aj4ZRca5gU+R4De2e2QZGgS27Q+jrHcVIjENJQEPSozqKX6PnkhWMW6dIeNyRMZr18gmj0tX+OslXoRYsGABjjnmGFx33XW4/PLLszoeO+REaYRamhGrPWjdj2kCMeMkOKbB6oTHhLA64tGE9WoxqySIft+aVp70OmaINjvZipR6pdEMvGrECyjBNtuuxSKINjeguT4IOalDLoz18u1pk8k8afAY7TLLskWszrd+P+yRYfS34ZMVJMwshCiRUdQj0GbbiZBFxtZClssyKkTdxYGmFsgNTfEOeTQC2DrkKjSjI65GjfJlGTrkstkhNx73mEFTNR5XjeooUX27FNUg+WLQfMZ0eW8EzZqMqh6l7Wr7wYMHUXuwzrrQH1EFQrHEUqwqWozlX03GeUaL1RG3d8iTLzgnXmiOGTFb8yqAmc9FkRGT47FdEwLNdc0o613VrrYTSXDewe4KET75YtEVV1yBoUOH4lvf+lZWx2OHnArSoUx4lyFBkoxACsAry4AnHrh6BCUISPhMn5WO5piKUExFyAiEoZhmdb5bYiqaI/aACMSvWptJW6IZRrQU4zXN1/Yq8SvPXkWGV5HgN0bvrxhdhfcPKthTr69tjyQlrPF5ZPQpC+DUKgV7dqnYWRdCfXMLoqpAVI1fPTfbpCXVEc3UNuuqutc+Mh406pKXGO0LeGR4rRFwFQGPgiKP/tiAIsBf6rdeU5b0OuTmuYIssfY06aQsrrYTUftILhjpbo1IipXmFHVhTlk3amnLAPy+AAJ9q6BpGnyRAKK7PkesrhYAEGtuQbQxhGizHi/VlrA1Mh5rMTvmSa9lXnw2OqueoJ4TxVeqj3z7yvURcb/R0VZK9YSrcnE55LIekIy14kLxIRRVoflKrIuLImEduVeWIEvx2WXRcAiaEIgYsbk+FEN9JIYGo7xqbSiGeiOHzb7GeDlWAGg21rWrxsUDLSlRi5wwx1wx4nGRX0FpQB/9D3oVlBoj4GVFXlQEPDj98B4YMrQC2xtiCMU0eI1jeGXZaDu/oCkum5jdFf4JpZupNmbMGPzzn//Eli1bHB+PHXLqNhL//ze/PISQoPcnZShSPJDtbWhGsxHgGiN6xnDzynRTOIZGYw1Zc0RFoxE0G0LxZDLmVeuoedU6U4Ias0NuThlTJHgSOsABrwclRsf3010HgGAlisyThaRvQLMj/8nOA2g82IyDTVE0hmMIRWMIRc3p9hpiZofc6KRnmhJmts0M4n6jQ15svH6JEdDLjbroJQEPio22FntkxHzCmnpc19iCvpWS7QKELElpO+Fd4HuaDlFWwboL/MMZMmQIzjzzTCxduhR+v9/avm/fPpxyyin4z3/+k8fWEbWP005/4v5WNJLtC1ckRdG3GVPWAeiZ12UFoVAEsb27EDt4AC379ARl4dp6ROpbEK7X85hEmiKINukxOtpizDoLJ42QGy+pmFO0S4wkpRX67K5gL73mebBJ7+QX9dGP5xUqJEWG5DP+n/UFIFQVDeEYgsEgZEmyfafJEJChQRIaVFVFKBJBTAjron99JIaDzVHsNTrf+xoj8Y54vf7TqvpinIvEjIGB5HMNOeFzNC80NPgVHDTiti/gQUWx/nuPkB9aRQB+jwKxpxb+4lLICcv5vIoetxWXXzRtK0cRLyh0LEnKYlZbAf8N2srh0qtXLwSDbc9mTcYOORUEp2XNWiMlZDg1f1fkeLWV5qiK+sYmhIwOeUtERWNUta5I1zVHrU54XUsUTUZANAMjAESN4KhGzSCZqdOr/zQ7vYoiQTECYJNHgsfrQZNxchBFLZTeZVbHO90argONYRyoO4hIS0hvZyiGWDQGNSas9qhJHXKzbeY5kXlSYpY+MS8WtBjBvNlvtC8hgzqgzwowR+KFEezNiwYNTS2oiKoIGu/NHB0333/i7+3FZK5dV3daQ56oo8uoELlFcifd8Ui9LBuJ3fTnSbIKAX1deUgLQ63bj5Z9dWjZqy81aznQjJYDIYSMainRxijqjXhslkMLm7HQiCbmsqwiI3N7WZ3e+S1p1Dv1aiS5A2/kQJFlSB4/pIC+BlzyF0NSw/jvgQZU9PCiR0CBJ3HdtdAgxcJQmvajpakJEVUgpgprinpjREVtKIp9xuvurg+h3uiINxltam4w31ctACAWadbfS8yeZV5OuIBhljD1FpUhUKRfbPAXea3R9agqoMj67LXI/jocVVoGaCJ+LiB13NrxPOf1pQ4koXutIe/bty+++uorq1N+3HHH4aWXXsKAAQMAAPv378eYMWOgqs5KDHfX8x6ijFRVRSQSyXczUqixSMp0vnRikXAntMYZIQQi4VC+m0HkamYZlf79+2P06NF49913890kItdrCeeu1NmhCIXajnktIffFa0CfRk/UHlKWt2wsXrwYhx9+OAKBAE499VT8/e9/P9TmO5Y8QPj5558jGo22uk97cIScuiVzqrSQBISQICTAnJkVlGJojtrXjDeGY6gzpojVh2LW9PTG5ijCxvZwwpT1WMRYsx0zf6a/UmYlc7NKmSlQPPpIu8fngdcnrOe2RGLo1yMMSdanwvg8MhRZtuqERmIaItEoavbr0+oiERWxqIZoREXMTAwXix/PHDU3O/nmSLmccNUfADzGVHVPVDGep39tJH/hyBJso/ceSYLXeP+N0Ri8WtRaiyZJZkZ5+9/DOlbaT6t1rFPedXSnpG6JOrqMClHBS5y6LisAEk58YxFoLU1oPrgfoX11CNc1IlSn1/9uORBC875mNBqlNw9GNdQbS7eajJlczWrS9G7jZ4kxY60xpm/pY8QW83vJE9RjoKeo2bjvh6ekCcKoPS6rEUBT4dci6BFQoKRbd614oZZUovFgCJqoQ0zAOudoiaqoa47igFk2tDGC5gZjhLxef81Q3R4AQKRerwYTCxsj5FF7B1/2xpe+eI2s8LFIM4TaW99fC1jD1ZIkIeCREfDKUML1GHR4TM9lYz7fY895k8j8KEViMleR/nfqWqQ01YHafo7z1/nd736HuXPnYunSpTj11FOxaNEiTJ48GVu3bnVdGdBszmGy6pCfddZZOPPMM3HPPffYth88eBAXX3yx46yxRJ1JluLZz82p0hIAc3bJl/vrbYnbwpqGUFSzkqGFojErkUosoiEWjf9uihod4JiZzVWNGj+TTgCM6WRCM38C8TznMcgSIBmd1ZAaw8f//C+GnzgUgL6GW5ElGC+F5kgU2z7aCb8wXhPC6ownXiCwOuRRs/SL/cqeeekguW0m83smalxECHmMqes+FSEzaUxMQ0wIq/xbRNXw3wP1KO/RQz829M64bV2dleCte3bGSJfN9LeuoqPLqACM15RjuUoSlynvitFB1zQNWksT9mzaiv/uPQghS4g1hxAxpptHmyIIt0RRb1x4boxpqDdiXzjDEjLzFeuTLqAXGR3zEmMNesToKMfMhHHhKNRQCLLRIRexKCQ1BjUaht8jp3ZGJRlCkqHJXjRF9TgZjmlWh7w5oieLbTGCezQcQ9RYJhdradR/Num1wiNGzXBrzV3ye0rooEeMz1SSZEQVPa5Ligcer94ViIRVNIRi8DdFAETw+pbdOO2oPij3x7sKjM+ULJslhxL0/4fr6+tt2/1+vy1/SqJHHnkE1113HWbMmAEAWLp0KV588UU8+eSTuOOOO7Jpuqtk1SF//fXX8eGHH+If//gHVq5cieJio3ZiJIL169d3aAOJck2voShB8erfKNV+oNarWOu58sVMlGG2q7I8gLNOHIKDsl4DVdWMDq/x3dW3PIBxA3xY+/ePAQB760LQYhrUDgqgbU3BSZet3QzeAY+Car+w6pADRmZOxEfMiUzd9Z9DR5dRARivqQAkduqTO5bJHXMj67rkC0Dp0QdV5w3G7s++QMNHHyJU25hwGPv/Sxn64O2SHNuEcWzzArsWUyE0AaEaV8djUUCLItbSBBFuhuQvSumUC0lCVBVoaG42Ll5rUM3jCQFVCKjprkm0Y9laJiLDxZPE7x1ZltCzWF9fft6xldA8PpiJ2s2KK4msNibXS81Cur+R0l2DQQGRhICUxRSILVu2oLy83Lbtnnvuwb333puybyQSwaZNm3DnnXda22RZxqRJk7BhwwbHr30oJElCQ0MDAoEAhBCQJAmNjY3WxYXkiwztlfUa8r/+9a+oqanB1772NXz++efZHobIdUKhlnw3IaO21mG7ed1Xe9bTEZkj5E5vXYGmaSlT78wyKocyks14TV1ViwvzvSRqacl8PhGJRKA5TPzUmZj3hdpFCP2imqObwPDhw1FXV2e7JXa4E+3btw+qqqKqqsq2vaqqCjU1NZ3xLi1CCBx11FHo0aMHevbsicbGRpxwwgno0aMHevTogWHDhmV13KzXkPft2xfr16/HjBkzcPLJJ+OZZ57BiBEjsj0cUV7IkKAZ5c7MK7ENTXoANTOEe2S9Hri5/jng9SDkNaeAS/DEjLXVtsvZ+v9aZskRNZb+8rE5/U4x1mZ5vB7rd69PgcenwOczy44p2LWvHtVD++nHTLqcrMgSdn5VB68xbdznU6Cpwnb1W5Ilqy6p+drCq09da3MNuVluzecx2meUZzO2B7weq1a51yPDk7BGHACaQ2FomgpFUVqtOa4ZVxyt95VxT+qSpOzWXxVynzxXZVRMjNfkOm2N9Boj5cIcMTf3t0bIFSAWQeOuXVDrawEAitcDj1EFxFvkga9FQdAYzY56ZGtKOjJMXTdHqIqMmVwlRiwuMe57iozYZ6whV/x67JQ99iglYjFIagySFkOoqQG+sp76843vNUmLQQLQ2NSMmAbENIFY0sehSPFzDsWrWNPKPcY6cI+RVd1njMpHjans5vI4k6TEl5yZa8g9wRIoPr22uuJR4jHeI9tGwffWNmJweY+UaeqaENBE6jYgnrHeeHVQ1ycZJfycPkeWZZSVleWoVbmzbt26nBw3qw65ebLk9/uxatUq3H///TjnnHNw++23d2jjiLLV2vS0xMc0CMjQS3DJEhCNRhFTY5AR75AHPDJKAh5b6TKzo6nIEhrN2toJ07FTy56l/18tueyZxyPHf/fJ8PsUlJo1UT0KorEYfLIGxeOFqglEYpotkVo41AK/eTJhPE9WJCuYqzEVMSPyJ5c9S5Zc9szskPuME54io7RZhVE+pSzgsV4z6FP0Trl5DOhlyrRwCMGSEqgiNeGLNfONMbzb6yoj3u2VqzIqAOM1FYA0U9bjHXHjvqpadccBQPJ6IRWXomXLp0C4Rb/Y7PfCZ9TUjoX90FSBHoo+gl7UEkUwqv+/UGwEmZgRhMzZ7V7z/xXj8XKjo1pmTOEO9tDrkfvK9HVinmL9Ipkn6IPi89gT0KkxSNEQQvUHEavoj6BHQqkRO6VoC6RQA2obJUTU+NR0M8mr3yOjyKegvEh/L5GYFj+XUIuMF9C/KxQjaZu3yFjKFrWPaivegPW7xx809i2Hv9h4LwEPfEYs9/o9KPZ7rA54Y1MTyv0eRI1zhFBMMzreEmRjmyabn2HqeQQ7592EOULu9DkO9O7dG4qiYPfu3bbtu3fvtsqDdpYzzzwzJ8fNqkOevM7t7rvvxogRIzB9+vQOaRRRLpj/avXOn4j/Lgl4JQnlfgUN4SaomoAsAz4juAY8AoAHihGkvB4ZASMlu9+joDSgB7OGhCzrYSN4RqNmpzdDghrJ3un1eWR4Pebrygj6PQiYidJ8CryKhAqPQLDEjz2NerIWs0Peww94JFgdeK8io8gXQzghY3w0Fk9OF++Qt9428wKB3zg5KTY65iXG+y43gnlJwIMi47GgV0GRR7Ha7lEkaALwiQjK/QrqwioiSd8jSoaAbV4vYEe9++isP/XixYvx8MMPo6amBqNGjcJjjz2GU045pZNePS5XZVTSPY/xmvKinSfsQrWPiAvz/4NYRE+WZiQblYpLIYaehMY1LyMWjkLyKPCVFFnHkb0KvEEPomXxRGxFzWZiNH1bLJqUZDUpi7rX6NwHjA54UW+9Qxvora97DfQo1fcrLYYULIHkiSejkrQo0FyLsBTG8poKzDy5v9Uhl1vqUPfHJ7Dn5CvREFGt5KfmOUeRz4MexcI2C+5gwmg5oF+wB4BoSdB4L2b1FPt7UhIGCjzGc71+BX4jfnsDCoJmLC/yosTvsWJ9fVMzjq4swpZ9+qzBhnAMUU3osdiI7YrRRq+In1NRNyOE8z+8w919Ph9Gjx6NtWvXYsqUKQD0c9e1a9fihhtucHYwl8pqDfn27dtRWVlp23bxxRfjnXfewZNPPtkhDcvEaQ26Z555BsOHD0cgELBGHYgyaXHx+nFTpnVdbl4/bgq1uL+NlF/6GnLJ8c0ps4TKPffcg/fffx+jRo3C5MmTsWfPno5/Ux0g21Jw+YzXAGM25VZLxJ01yE2t1RkPuzyvihqLIhaL5bsZ5HbZrCF32iMHMHfuXPzyl7/Er3/9a3z66aeYPXs2mpqarKzrnWHmzJloaGho9/7/8z//g3379rVr36xGyAcNGpR2+zHHHINjjjkmm0O2i9MadH/7299w+eWXY8GCBfjmN7+JVatWYcqUKXj//fdx7LHH5qyd5B7pLtppiE8RM6dZxVRAEyp21zZBkSX4ZAXQZ6nBo0jwKZqVITzoVRANGPVCi/XyJAAQjsavjofMEXJz/VqGUWhr1N0YIdfXqif87pHhSbivSBKam5tRVKGhrjmK5ohqTVFXtWaUBDwogfne9JH6qCoQU+O1ys2L7lFjW7qpZunaZq4PN18vaJRCCRpX3QMe2fqMfIqccl+RgD31TSgJqwjF9CyytizrxtQ3WZLsfzeOjHc72Wbdj0Qi7S6j0tVLqJjyFa8BxmxqReKXfGJmdXNkPGYkazN+aqFmvc63UaZTrduP2P69kIuKIUMfEff4ffCW6FOxoyVFCPQII2Z0iGOhKGLGLDbVKFuqJY2QS8YotLkO3WPM/vIUGdO7S/UR+EBPfXq41xidlorLIAeKIAf1xyWfD5AUCK8fMQC3je0Hn89jdUFC5f3hm3EfxMZN8CkSBACfIlkzzAB9Rpg5Ul0a8KA8qJ+Q1BXrn0ddiX4/HLGPjCcvQZMSAqhZscXnU6zlZUU+D4p85u+KbaZbwCPjb9v3otE4GYqqGmRZgjdhar7XmKGXNiN8Ai3lPIOBvetwvoY8m6kUl156Kfbu3Yt58+ahpqYGxx9/PF5++eWURG+59Lvf/Q7f//73MXLkyDb3bWhowBNPPIF58+a169hZJ3XLB6cnUD//+c9xzjnn4NZbbwUA/OhHP8KaNWvwf//3f1i6dGna1wiHwwiH41c0s01fT+5jxikh4p3QSEygOaoiqmnwyjK+3N8APwC/R4LP+N9DE3od7ZhxohBRBWJGRzsmBCJqfDq4KXltmjBePHkFqBl+zbVjipSQ+EWW4JElWwK0mBDYV98IpUcU/97dgOaIak1Z76kexOElXltpMU3ogdB8/ZgQKW0ymW1LTqLmMU9SzCns5vR6Y7s5zc7nkWG+tEeW4VPk+Fp74+f++ib0DquoC8XgVST4FWNdukeCbCSJ0QSnp3d32ZRQAYBly5ZhyZIltm3pyqi4qYQKkLsyKvmW65jNeN0FmWvGjanqIqKPIoumekTqGhCu1Uenwgcb0exVgIoeAAAlWAxF0+AxkpwFomGIWBSqUctbxGJQjdF0LWquU0/qkBuxTDYuMsseI3lbwGe8htHhDuqlAyWf3iGXA0HAF4Dk0y/8SR4vhKxAMi4mqNs2wlPVH9HeQwEAOxuj+HJfPcLGOYMM/cK2RzJiqax3zkuN5HMVAW9CjXL9/ZjPbQ6bF/+NC+xpkr2azIvrfq9s+90vJyRjNc47AD3Z3Adf7sOemH5BotTvQc8SH3oUxUuh+T3J5eXi94VgIO8WsllDDqf762644Ya8TlE/8cQT8Y1vfAMnnngiPB4PvF4vRowYgdtvvx1PPvkk3n77bYRCIWiahk8++QTV1dXtXuNeMB3ybE6gNmzYgLlz59q2TZ48GatXr874OgsWLMB9993XIW0mdzHjhCbiQas5quJgKIoddS34w8YdiLU0QmgCsaiGsHE1PdQQQaglinD9Af1+/T6EG/YDAKJNnX8CKCkeSIoPR5x5AQLFXoRb9AC94+/r0HKwc8s/AIAnoI/JByoqESjrDQDwl/VEsNgHv7EGzx/wQlYkCA1Q3n8fl585GAPLgzBy5ECRFWtEnmvQyHlw11177bV48MEHbdvSjY63VkJly5YtWb32oTDLqCTeP+GEE2z3s52yni+dEbMZr7uelGRuRoc81tyClv11qPtsJwBg+1+3409f1CKWxdTXXDgs4EE/Y9S5p98DT0BBU5N+DvHLfS149NkbgXNmAwDe3lGL7147D9XHnAYA8AaDiEVVROr1qa0tB75C84GvOv9NpCMrGHTaFADA0GOrMLxvGRRZsi78RxNqpxN1dStXrsQTTzyBXbt2QdM0hEIhLFu2DC+//DK2bNmCSZMmoby8HIqi4Nvf/jauuuqqdh+7YDrk2ZxA1dTUOK5Zd+edd9pOCOrr661Mt9T1eYIl+sixR4MKPZgq0QgULQLZp58YyN4gJI/ek5Q8mdeH5YokZyih5vHbksp0FvM1ZW8QsllKxV8MJeCHx0gW4wnGO+RErZEgnE9/M/h8PpZRcYnOiNmM192bAiljMtDOFpQUFBmxuURW4FE8gKx/j6VroyTJkP36SLviD0LIKmSfXspM8gbyEsuJsmKtC3fynMK8gDNgwAD86Ec/sm3bsWMHDj/8cLzwwgv4xje+kfWxC6ZD3lkyrTekwpTuqq0Q8fVOmtAzmSqShGMH6lPf9jaEUNsctWpzKooMj0+Bx6uvefQES+Ar1rOshur2IlSnX9VWI7lJCGd2wBVfEL7iMgTK9QRNkXAMkixZ2VVLqg6H4gsg3HgQAIzRfudlktrbHrMdwR76CXSgRzUCRimVQLEX/oAXATNLbdCLiiIvepbE/9+Kqpq1tl7VFIisUkxSlyOQ9Qh5e7mphAqQuzIqXR3jddeQPHUcgL3cGQAtGoMailgZ0mWfghKPjMbkAt6dyGdM7e4X8OCwoAe9jXXdwd5FCPYIoNIYMf9+7yCUXn2t85E+xX5MuG4mGuv1C/qRcAyRlhiavfp3jyQrkGQFzft3AUBO4nh7yR6ftUwtHI6hJaoiEtNSRsbNZYBtrSWnriibKeuF2SFPZ+DAgZg8eTKOP/74QzpOwXTIszmBqq6uds0JFx2alOmah3h1Lbmj7vfI6FthJG7xyAj6Iqg1Eps0eBV4fAq8RqIXX9CLUNCo51lcDn9pTwBAuOGAdbxIsz6VPdbSqDe3nQFV9vgge/Sg7vEHofgCUIzaoR5fEJ5ACbzGxQCPT4EkS1awDPboDcUfhL9Jb0801Ag13AI1EkIsrF8s0GIRaGaynHZSjHVy5kUIX6l+4cJfor9OsEL/GSj2wW+Ui/EHvQgUeVFaFK9VXh70opdxwhJQZFtm7OS/h5ZFVrdCm9JLrcjq/+/2P6c7lFDJN8Zs6hBmkjejpydb8S6AEw8GsN2YFr4vEkOL2jkn+UFjAfXhRXo8qw4oqKgIoKSPPuJdXFWEYK9iFPftBQAoH3oYlMrDrFWzfUv8+Maovvh4p36e8N8DzaivC8cHATxVUPxBK/Y379uFWKixU94bAOscJNijCsWVAxEsNdbQK2YC2XguGiJomvX/absV6Ah5Jn/5y18O+RgF0yHP5gRqzJgxWLt2LW688UZr25o1azBmzJhOaDG5gb0ckki73avICCgyehb7rG0eWYLPE88qXuuRrQ651x+Dz/g9HPQiVKQHYZ/RMQfiHfGoEUS1qJEpNqkzbI42mz9lrw+KEQwVX1C/Om11yL3weBWrlqjHJ0NRZGhGEJc9MjxeBTGjPbFIFGq4BVosYo3eq7GIdXHAbFPyxYLEtuivY7y+sVbcvCAQMD6vIqOT7Qt64x1yvwcVRV6UGycsFUEvyov0GwAUeRV4FdlaN55ctiqbMlbtlctjU+GYO3cupk+fjpNOOgmnnHIKFi1a1OklVAC9jMqiRYtQWlrarv3/53/+B/Pnz0fv3r1z3LJDw5jdTUg5ntpkJByTFBmy1wNvsT4jorhPMapbYvDtbgIA9Awr2BuO4aAxYywXnfNyI9aaHfHDjHhXUlmEYO8gSqr02FvUpwxF1b1Qcpg+i8zXfwgQjC+lKfHLGFgetHLZ+BQZX/kU7PfFY7miyFbH2BsosUbLc5knRvEF4S/tYZ3LBHtUo6SiFEFjZltRwKNXTJGljIlXlQz/HNoTd2WG5oIkCefLzLJN3NqVFUyHHGj7BOqqq67CYYcdhgULFgAAvv/97+PMM8/Ez372M5x33nn47W9/i/feew9PPPFEPt8GIfOXc6YSXMkO5XtbkuJBw6voyUmiXsV2xVdJ6JD7FBlBnwcNRpK3Rn8MYSMQ+1piVic0XBTv0MeiZcZP/eQgZmR3zTRSbgZeWZasEQDFCsrmfQker2JdpZY99sinxTSoQY9V/iQW9UOLFUFVtXhJFFWzyqKYbcnUIVeMDLPWBQCvOUMgPgqu/9TvB4Jeq5RKacCLEqNTDgAlAQ/Kg14UGcfwe2R4ZQleI6orsvNSV4zdXVU209+cc0MJFSC3ZVTyjTGbLMkd94QvfCmhjJaVI8W8WK2YF4g98AR88JYZnd7eEahR1SpVVnwwhPImGXVGKbO6qIomVbPuRzTnHQBzSnqVUeKzOqC3pdq4GF3aT79IXdQriKLeRQj2qdDv96lAsLIHvH36AQCUXtUQ3gCEJFnHrSrxocU4P1A1ASUhu/k+RbaWygFAs99nzVTzBPT333JQn0mS7ci5eTxvsMQ6pq+4HN6icvhL9fOXYIkfxWX6DQAqirwo8inweWTIsv1iupImgOfr2jcvune27rOGPNmbb76JX/ziF/jss8/whz/8AYcddhiefvppDB48GKeffrqjYxVUh7ytE6gdO3ZATvhiHzt2LFatWoW7774bP/jBD3DkkUdi9erVrGdKRORi2SZ1cyrfJVSA3JZRyTfGbCKiLk4giw524XfI//jHP+LKK6/Ed77zHfzjH/+wSnDW1dXhxz/+MV566SVHxyuoDjnQ+gnU66+/nrJt6tSpmDp1ao5bRYXAvGgqS/ErqF5ZhlcW1sitSZYkBI2r00GfgsZQDOXGiHBjOIYWoxZoQyiGxmZ99Dsajo80WyPjVr1TI+FJhown5vpnxSNbNcllSYKceCVakfTHzWnesgRJlqxja5qAEMIaDRea/npaTLPWZAtN2PYH9JJKmdoCxNeNmVfrzan7fmPUID4Kro+KA0CRT0FJwGONmAc8Coq8CoqMKX9FXgUBjwyvWfdVkqzpary43d1lOUJeoPE9l2VU3IAx211EK1PMO+tCWIrEyiFJI+Qwl3AFfPAWB+GPGnXFVQ2SIsNrxJiWMj8C9WH0rNeXYkWao2iMaVbStxZVoEW1j5ZHjdhnju56jZ/mGnFzinpPI/aV9tKriBRX6T+Lehs/exXDX1GKQC9jZLlPD3h6VkLpoSeClUsqoCZkTfcpMkr9HvQxpoKrQp+V5zdibtDnwR6fgiZz9lmRF83GqLy/tELfp4d+US7cqOeuMZfJaTH7bLzEqiyyx6x6UmJbiuYJ6iP9Pr/HtvQsUORDcanPyv3Ss9iPkoAHQZ9ixW4laaSco9PdUDfKsp7o/vvvx9KlS3HVVVfht7/9rbX9tNNOw/333+/4eAXXIScioi6sE7Ksu0kuy6gQERHlUnalSgu/Q75161aMGzcuZXt5eTlqa2sdH48dcnKVbK+tJmfYliVhbE/cBmubuVYLnvgIrXml17xSHY7pV5aLvQrKi7xoiRjJYiKq9XtDKIaWMnN7zHqtZuPxiHF1PmKNWrf+JSTJ9nYoSfc9SfcTmQlizJ/hmKZnQzVuiY+11hYp6fjmWvoia8aAx/hpjBoYo+LmlXPzsYAiw++JrxkPeOT4GnJFv2+OCCiSZJvBkP7v5uxfB6/TF6rOWUPuZh1VRoWowzhI3pZ2FD5pW+K6cdtjZhI3v171RIroP+XiMvigJ3cDAMVcU26W2uzRjEhTFNFGY4S8KYqKUAyxFj0uR0MxaEZcViP2kl0mc1aYx8wRY5Tt9BtrqIt666PKwV76mmt/Dz0Ro7+iBIGKUvgq9JFmpbwX5B59IJfrWdY1fzGEJ55jxivrlUZ6BPTjR1UNihSPtWbOlQNN+hTY/Y0Rq4SomUQ11Ky3JRLWE8fFjPemmeXI0sR36/0lJYc1f/f6PfD5FXiNmF5e5LUqpABArxIfyou8KPV5rNjtN/8exp/QFrsTonBy+G5vOGf1lALQTUfIq6ursW3bNhx++OG27W+99RaGDBni+HjskBMRkbs4LaHSBXVEGRUiIqKcEt2zDvl1112H73//+3jyySchSRJ27dqFDRs24Oabb84q8So75NQlWaOtCdvMdWKaBEA2vwwkSF69JraZ8dsrSyjyCoSMUe2oqiCsaoj6zZFnFVHj6nNLND5abo6CA7C2xYz9zMfayiKvJIzUA7BlXjXvp/sdSB0hN18/8b7t9wxtMT8n8/jmlXCftb5NSXs/cUTcq0jwKzK8xmXzgJFV3TyWV5bh80gJr5XwupJk+7vxAnk3k0UJFSIqLImj6FLi70aZT9lYC41ifRRayDIgK/AlrSmPNumj0tGmENRQBLGQPqqs/x6Bao6KR7WEEXJjNNmIh2aeFnP03RwhN9en+8r0NvlKzZHxEtt9b1kRlOJSyCUV+vFKe0AurQACRts9AUCOn27rs/AkFAv99XoLH7xKfMZYkTErr1ez/l77lsewv0kf+a9t1n/WGblr4pVcjHMM1T4bT0o4T0jMR2OOiise2YrhRT4FQZ/HNvstMRdMsc9j5YIxZ7sFrJFyIxt+K6Pi1EVl0yHvAiPkd9xxBzRNw8SJE9Hc3Ixx48bB7/fj1ltvxbXXXuv4eDkuIElEROSQOQXOya2LePPNN3HFFVdgzJgx2LlzJwDg6aefxltvvZXnlhERESXTIAmHty4wQi5JEu666y4cOHAAH330ETZu3Ii9e/eivLwcgwcPdnw8jpBTQUgaDIZIvp+0v3nxzTaKbI4Oy5I1QC4DUKCPyvqMgwY8MqKqQJHXHCEXiCaMNEc1gahxFTqqCcQSfjdFk7aZo9FqG2vIU9oMe33P9mQwTVwXlzwK7uT1laSsqfEZBLLtvrmGzKvoo+DmMRLrjHtlGV5Fsh1bkeNX0+0j5PbPwLxqmPxvoK37VMCyunpe+AG+o8uoEDnS2jpxoabfnu45cpptyfsljBgLxRvfzYi7CBYbh9JHXoXHB8kfhAjomc3l4hA8ZSH4wyEAgBoOQ4vGEGvR/5/RojFo0RhUI7eLFo1BmKPH1jprzXgNY926Ectkr942TzA+Gg/ER8Q9JfoIuWS2MVAEKVgMuajMaFsphK8YwshkDsULkThCLukz8fxGfIRfsWaVAcYIud+DnsbrN0dVVBvvozFk/2nlqzEzyJuz8Yz3piT8LRLzz/iU+My3xFlwQaPOOAAEvYqe/8XY1+/RZ8EFPLLV1oD1XP3YnoSE+UpCTE7+F5HuX5qTEM5w7yKacL7MrICXpYXDYdx7771Ys2aNNSI+ZcoULF++HN/61regKApuuukmx8flCDkREbmI6LYj5GYZlV/+8pfweuOdlNNOOw3vv/9+HltGRESUhhDObwVs3rx5WLJkCQ4//HBs374dU6dOxaxZs7Bw4UL87Gc/w/bt23H77bc7Pi5HyImIyFW66xryji6jQkRElFvdK8v6M888g6eeegoXXHABPvroI4wcORKxWAz//Oc/D6kqADvklFOZ/m0e6v+Lyf/opaQDmo8ridNYzcQtQr8B+pQqTQBCBlTNSPqmCPgUQAh97pUGs3SY/pyoplnTwlVNvw/oU9tN1uPCft/UnqnjQOr09Wy097WSX1NOmEKeeN+chq4k3ZclyZrOrsj6ccwp6ZIE2xR1SdKPax5Tv28exz7VzfxbJn8SHV0OhQloXCKrjK1dQ0eXUSHKi7TT2BXbXSESTj8VT+ID+iECxjRyjz5TRPgDENEIYCR7E7EoRCwCYUxZl2NRQFPhM5PBxSIQqhrfX1MhkqbJmlPXzanqZik2yWirWXoNRiI52Zgub05Vl3wB66ccLAY8enk04fVDKD4I877HZ/tMJEmCR4Y1bRzQoEiKFT+LvArCqmollg3HNOv3FiOJW0i1n3eY5yHJyV3TnUPoS8rMkqPxZG/m0jIr1suSnpDVXJZmLEMz9zOfox/TOHZCIG0tCS3LmXUdUhaJWAt5Dfl///tfjB49GgBw7LHHwu/346abbjrkf9OccHL5yQAAJfVJREFUsk5ERO7STaesm2VU3nnnHauMysqVK3HzzTdj9uzZ+W4eERGRnXkR3dGtcDvkqqrC5/NZ9z0eD0qMvBKHgiPkRETkLl2kg+1UR5dRISIiyq1sLooXbowXQuDqq6+G36/PgAmFQrj++utRXFxs2+9Pf/qTo+NyhJyIiMgFOrqMChERUU5pGqCpzm4FPEI+ffp09OnTB+Xl5SgvL8cVV1yBfv36WffNm1McIacuIdNSa5G4psNYUyVJgGKsSBYC0IQEIQQ04/KUEBI0WVgrXPTH9bXk+uOyVUHNvj3xpeJrzBMlryV3o+TSaubasMT13oB9Pbj+uP0xSYr/XSTj+fHH9c6H9XhSeZTE9Wbmbyxr1l04X49W6HJVRoW6odZKlwHZzz7JsD5SpHk9Kc02odhPNxP/HxeeQMIDxnM1Y825WRLNq0IOaIAWMx5XIYx14wD09eKaBhGLGI9rEFpCqTZNbbvUklkizFxDbqxfl4w15JJR+cBcO26tGZc9EIoCofis+1C8+tpxQN+esIZeL3sGmNFNlmRENQGjghh8igJVyLa8Nclrxc015ea5iFlqVW3HKUZi/hYgMW+MviY8MeYrkmTLE6MYcdzaJ6F0KQB4EteNJ75GO8qUtnfboeLy9Y4lhEjJz9DmcxzmNnKT5cuX5+S47JATEZF7CBR0jdJszJs3D7/4xS8wadIk/O1vf8PUqVMxY8YMbNy4ET/72c8wdepUKIrS9oGIiIg6kznq7UQ3u+jeHuyQExGRixR+nVKnclVGhYiIKKeExg55B2CHnIiI3CWbYF3AnfhclVEhIiLKKU3Tl4w4UMhT1nOFHXJyleT1y6bktdfJ64q0pCrVcpoah5LxpMRHNKGvfwEkW85HISQkfl+Y++ivlX69eLqvl+TvnGz6DOYadTmlEnduZOoDJK4Ht2+PryVPXDmY2JlIXF8OxPcz90n8e0pIv24suXOSvE+mdlFhkYBut4Y8V2VUiHIu3Zr1dmwz11cDgKTG4tuN/YTxHWB9FwhN35a4PWFpi2SUXpITvzsy/d7WezHbkHQfxrIRTTZOnY2fQpL1NeLm8xQPIHv0teQAICu2tfayJBlrrkX8vgSoRlDTBKAKYZ0vqEKy1pOb5wPmfXOfdLlsWn2rtngs2bYn53ZJzBcjS/GcMPZ9dLba44lxPSkep4vOvABZoDThfJlZAV9AzxV2yImIyD3MmqbdSK7KqBAREeWU4BryjsAOORERuUs3C9bTp0+33b/iiivy1BIiIqL2E8kVDdr3pNw0poCxQ05ERC4inF9tL3C5KqNCRESUU4JT1jsCO+REROQa+ox1Xj0nIiJyu2xGyAVHyFOwQ055kSl3R6aLZskJutpK8ma+QGJSNTPBiEh4riIBmrA/ObkJ+jEk2/Osx/QXa7Xtye1oS+rrdFyiEydJU9IlVtOPkbRfK6/TduK1zM9tsx0px2rfe2PeGLfrfiPkRG4g0iVjM2T+2kw9sbaSmbX2/IQTctvrmtuNi3JmNJQSEroBCXFSJCZ20+zxO9uT/kxJ3czgkfy4LOvbEpO8SXLK/raXQDwBmiT0cxHVTNBmVH40W5+YZNZ83/HH7MdNPjdqj+TYmS4Bq749HtcznQckJ3O1npv0mkqawJ72fKCdbaY8ymoNOUfIk7FDTkRE7iGy7ZAzwBMREXUqTlnvEOyQExGRqzitaUpERER5oDqvQ+64A98NZJ6fRERE1NnMq+1Ob0RERNS5hKbPanNyy+Ea8gceeABjx45FUVERKioq0u6zY8cOnHfeeSgqKkKfPn1w6623IhaL5axN7VEwHfIDBw7gO9/5DsrKylBRUYGZM2eisbGx1eeMHz8ekiTZbtdff30ntZiIiJwTzoO7pnLGusswZhMRdQNaNh3y3AXsSCSCqVOnYvbs2WkfV1UV5513HiKRCP72t7/h17/+NVasWIF58+blrE3tUTBT1r/zne/gq6++wpo1axCNRjFjxgzMmjULq1atavV51113HebPn2/dLyoqynVTiYiIujXGbCKirk8IzXFllFxmWb/vvvsAACtWrEj7+KuvvopPPvkEf/3rX1FVVYXjjz8eP/rRj3D77bfj3nvvhc/ny1nbWlMQHfJPP/0UL7/8Mt59912cdNJJAIDHHnsM3/jGN/DTn/4U/fr1y/jcoqIiVFdXd1ZT6RC1N/t6W1nXTUrCbtYeyRlFM1yoM7OZxo8Rf15bWdPbe+0v/XE6N3topizmmWTOetrKczL8YdubQT39c1vfi0lYC5SA4xIqufbAAw/gxRdfxObNm+Hz+VBbW5uyz44dOzB79mysW7cOJSUlmD59OhYsWACPpyDCbIdizHaxVjKptzaNNFMG9vRfs+3IvJ7htSRzu2LfT2R6TmLmdVsTsjjhlzN8NinZ1u37WVnVrf0l2/3kxyUJkCFZ5y2KBAhJsp2LCGE/PzB/TakKk3Tuox3C+UNrFVNs+7WSPT1zdZa2q6eke2o22dQZ+zuZOWXd0XMENE1DfX29bbPf74ff7+/AxqXasGEDjjvuOFRVVVnbJk+ejNmzZ+Pjjz/GCSeckNPXz6Qgpqxv2LABFRUVVmAHgEmTJkGWZbzzzjutPnflypXo3bs3jj32WNx5551obm5udf9wOIz6+nrbjYiIOov71pAX6hS4fOmsmM14TUSUZ9lMWdc0bNmyBeXl5bbbggULct7cmpoaW2ccgHW/pqYm56+fSUFcuq+pqUGfPn1s2zweD3r27Nnqhzdt2jQMGjQI/fr1wwcffIDbb78dW7duxZ/+9KeMz1mwYIE13YGIiDqZC0fIC3UKXL50VsxmvCYiyq9spqxDCAwfPhwbN260bc40On7HHXfgoYceavWQn376KYYPH+6sHS6S1w55ez/gbM2aNcv6/bjjjkPfvn0xceJEfPbZZxg6dGja59x5552YO3eudb++vh4DBgzIug1ERORE9nXII5EIp8DlkNtiNuM1EVGeadlMWdcgywrKysratfvNN9+Mq6++utV9hgwZ0q5jVVdX4+9//7tt2+7du63H8iWvHfL2fsDV1dXYs2ePbXssFsOBAwccfXinnnoqAGDbtm0ZO+SdcfJGREStyHIK+rJly7BkyRLbtnvuuQf33ntvBzQqM7dOgetobovZjNdERHmW5RpyJyorK1FZWensNTIYM2YMHnjgAezZs8eaybVmzRqUlZXh6KOP7pDXyEZeO+Tt/YDHjBmD2tpabNq0CaNHjwYAvPbaa9A0zQrY7bF582YAQN++fbNqLxER5ZgQEGp2U9avvfZaPPjgg7Zt3XkKXEdjzCYiokRC0xzHbMdT3B3YsWMHDhw4gB07dkBVVSuOHHHEESgpKcHZZ5+No48+GldeeSV+8pOfoKamBnfffTfmzJmT1wu8BbGGfMSIETjnnHNw3XXXYenSpYhGo7jhhhtw2WWXWdlad+7ciYkTJ+Kpp57CKaecgs8++wyrVq3CN77xDfTq1QsffPABbrrpJowbNw4jR47M8zsip5KzZraVdb01yRnZlQxPFa0cU0mzra3M612F06zsgLO88dlkVQWYWbXLENlOWQd8Ph+nwLkAY3b3kS77etqv4uSNIv0XthDZZYFPeTkH+2bKIB8/WNLj6YJNuszrmZ6PeKZ1kyaEvSqMJNnOM5LPL+LZ1TPkuc/ifKS9sT1T1ZTWjtERlVPIpbJJrJrDOuTz5s3Dr3/9a+u+uWRs3bp1GD9+PBRFwQsvvIDZs2djzJgxKC4uxvTp023lNvOhIDrkgJ559YYbbsDEiRMhyzIuvvhiPProo9bj0WgUW7dutTKy+nw+/PWvf8WiRYvQ1NSEAQMG4OKLL8bdd9+dr7dARETtkU2H3GF87w5T4PKJMZuIqBvIasp67kbIV6xYkTEBq2nQoEF46aWXctaGbBRMh7xnz55YtWpVxscPP/xwWz3GAQMGYP369Z3RNCIi6iACIqfT2bJRqFPg8okxm4ioG9A055VRcjhCXqgKpkNORETdQNZT1jkFjoiIqDMJ4fwiusjhCHmhYoeciIjcxWV1yAt1ChwRERG5HzvkRETkHllcbSciIqLOp2dZdzhC3l2yIDvADjkREbmLy0bIiYiIKJXQhOMOOdeQp2KHnIiI3OMQyp4RERFRJ9I052vIOUKegh1yKkjtLVeZ7iJcR9S6TK5lDmSuZ95d5KqGKEuTEhF1grbqcaeTJjlTm3W90Upd6ta+7zPULk+7q62Kd5baeB+tvs/2fAYJb0du5Y0n1yhPfHKmbk0HvPuMsgnJ2Z4fMP67H0fIOwY75ERE5CICQuUIORERkdtxDXnHYIeciIjcQwDIJqkbr7gTERF1KqFp0BxeRBeaBmQxIacrY4eciIhchGvIiYiICoHQsqiMwgvoKdghJyIi9xCAYIeciIjI9bKass4OeQp2yImIyDUEWIeciIioIGSR1I1ryFOxQ05ERO4h4DxjKxEREXU6kUXZM05ZT8UOOXVpHVEyI1el07oDfkzkXBYlVIgoP9KV90pTCi1ll2xKrLWnlFiuXrvVFz3046WLlea5R0edb6Qr15osn+c2PF8oTEIT0DhCfsjYISciIvcQ4JR1IiKiApBNHXLRjgtn3Q075ERE5B4iuxFyzoAjIiLqXNkkdQNHyFOwQ05ERK4hkO0acgZ4IiKizpRN2TNmWU/FDjkREbmHENBUlj0jIiJyPY6Qdwh2yImIyFW4hpyIiMj9slpDzg55CnbIiYjINUSWa8iJiIioc2lCg8Yp64eMHXIiInIP1iEnIiIqDFllWWeHPBk75ERtYG1MIiKidurIOt8OyyN1SI3xjq5TniUn5x7t6d/kosY4z49IqBqE07wvXJaWgh1yIiJyEecZW42nERERUScSQmOW9Q7ADjkREbmHADROWSciInK/LKasM8t6KnbIiYjINbKvQ05ERESdSWRR9oxZ1lOxQ05ERO6RdZZ1BngiIqLOpKnC8aw2TllP5Y7MFe3wwAMPYOzYsSgqKkJFRUW7niOEwLx589C3b18Eg0FMmjQJ//73v3PbUCIiyp4wrrg7vJG7MGYTEXUDQjiP2eyQpyiYDnkkEsHUqVMxe/bsdj/nJz/5CR599FEsXboU77zzDoqLizF58mSEQqEctpSIiLInjKytzm7kLozZRERdnzll3VG85kX0FAUzZf2+++4DAKxYsaJd+wshsGjRItx999248MILAQBPPfUUqqqqsHr1alx22WW5aioREWVJsA55l8CYTR3CJSXI3I7lxyhfhCYgVGcj3g6rGXYLXfabbvv27aipqcGkSZOsbeXl5Tj11FOxYcOGjM8Lh8Oor6+33YiIqLMIaJrm+MYl5IUtm5jNeE1ElF/CWEPu5MYp66m6bIe8pqYGAFBVVWXbXlVVZT2WzoIFC1BeXm7dBgwYkNN2EhFRAmOE3PEt3+2mQ5JNzGa8JiLKLyGEPkru4AZ2yFPktUN+xx13QJKkVm9btmzp1DbdeeedqKurs25ffvllp74+EVG3JgSEqjq+Ue65LWYzXhMR5ZfQhJFp3cGNU9ZT5HUN+c0334yrr7661X2GDBmS1bGrq6sBALt370bfvn2t7bt378bxxx+f8Xl+vx9+vz+r1yQiokMjAFdlTf/888/xox/9CK+99hpqamrQr18/XHHFFbjrrrvg8/ms/T744APMmTMH7777LiorK/G9730Pt912Wx5b3vHcFrMZr4mI8ktfQ+4wZrMOeYq8dsgrKytRWVmZk2MPHjwY1dXVWLt2rRXM6+vr8c477zjK+kpERJ3IZXXIt2zZAk3T8Itf/AJHHHEEPvroI1x33XVoamrCT3/6UwB6bDn77LMxadIkLF26FB9++CGuueYaVFRUYNasWTlpVz4wZhMRUaKskrrlaMp6IV9AL5gs6zt27MCBAwewY8cOqKqKzZs3AwCOOOIIlJSUAACGDx+OBQsW4Fvf+hYkScKNN96I+++/H0ceeSQGDx6MH/7wh+jXrx+mTJmSvzdCREStyjbLeiQSSUnsdaijqOeccw7OOecc6/6QIUOwdetWLFmyxOqQr1y5EpFIBE8++SR8Ph+OOeYYbN68GY888kiX6pA7wZhNRNT1CRXQHGdZ5wX0ZAXTIZ83bx5+/etfW/dPOOEEAMC6deswfvx4AMDWrVtRV1dn7XPbbbehqakJs2bNQm1tLU4//XS8/PLLCAQCndp2IiJqHyH0jK3OnwgsW7YMS5YssW2+5557cO+993ZM4wx1dXXo2bOndX/Dhg0YN26c7Qr85MmT8dBDD+HgwYPo0aNHh75+IWDMJiLq+sw65I7kqENeyBfQC6ZDvmLFijbrmSZPgZAkCfPnz8f8+fNz2DIiInKDa6+9Fg8++KBtW0evMd62bRsee+wxK7gDeobwwYMH2/Yzs4XX1NR0yw45YzYRUdcnhIDmsIMtBKBpWofPaEunUC6gd9myZ0REVICEccXd4Q0AfD4fysrKbLdMwT2bjOE7d+7EOeecg6lTp+K6667L+UdBRETkZkLTa5E7umkCW7ZssZWtLC8vx4IFCzq0beYF9O9+97vWtpqamrTlNc3H8qVgRsiJiKh7yHYNuRNOM4bv2rULEyZMwNixY/HEE0/Y9quursbu3btt28z7ZvZwIiKirkZTNcfLzIQQGD58ODZu3Gjb3toF9IceeqjVY3766acYPny4db/QLqCzQ05ERO4hnGdszYaTjOE7d+7EhAkTMHr0aCxfvhyybJ9cNmbMGNx1112IRqPwer0AgDVr1mDYsGHdcro6ERF1E8YIuRNCA2RZRllZWbv27w4X0NkhJyIi1xAC2SV1y5GdO3di/PjxGDRoEH76059i79691mNm8J42bRruu+8+zJw5E7fffjs++ugj/PznP8fChQvz1WwiIqKcy6bsmdOkbt3hAjo75ERE5Cq5KomSjTVr1mDbtm3Ytm0b+vfvb3vMTEpWXl6OV199FXPmzMHo0aPRu3dvzJs3r9uWPCMiou5BaNlNWc+FQr6Azg45ERG5hxCOa5rqz+v4pgDA1Vdf3eZUOQAYOXIk3nzzzdw0goiIyIWE5vwieq465IV8AZ0dciIicg2BzknqRkRERIdG05xfRBc5CvGFfAGdHXIiInIP4TxBDBEREeWBpjm+iO6mZWluwQ45ERG5h0BWU9ZFruasExERUVoiiyzryNGU9ULGDjkREbmI4JR1IiKiApDdlHV2yJOxQ05ERK4hhB7giYiIyOU0AaG5I8t6IWOHnIiIXCWrNeSM70RERFSA2CEnIiLXEEI4rmlKREREnc9NWdYLGTvkRETkHsyyTkREVBg04Txmc1laCnbIiYiIiIiIyBGhOU/EyjXkqdghJyIiV+EIORERkftxynrHYIeciIjcg2vIiYiICkMWU9ZZ9iwVO+REROQaQjBYExERFQJNAJrDKeiCZVFSsENORESu4nT6GwCWPSMiIupkmhBQnXbIGa9TsENORETuIZwniCEiIqLOpwnAcZL13DSloLFDTkREriFY9oyIiKggaHA+Qu50int3wA45ERG5SjZT1hneiYiIOlc2I+SM16nYISciIvcQgNCymdDGEE9ERNSZ1CzWkDNvayp2yImIyDUEnNc0JSIios7HNeQdgx1yIiJyj2zXkLMPT0RE1Kk0gGvIO4Cc7wa01wMPPICxY8eiqKgIFRUV7XrO1VdfDUmSbLdzzjkntw0lIqLsCUComuMbuQtjNhFR12eOkDu5sT+eqmBGyCORCKZOnYoxY8bgV7/6Vbufd84552D58uXWfb/fn4vmERFRB+CU9a6BMZuIqOvjlPWOUTAd8vvuuw8AsGLFCkfP8/v9qK6uzkGLiIiow7HsWZfAmE1E1PVlV/asgKZod5Iu/3m8/vrr6NOnD4YNG4bZs2dj//79re4fDodRX19vuxERUefRhHB8o67BScxmvCYiyi+n09VVwZQv6XTpDvk555yDp556CmvXrsVDDz2E9evX49xzz4Wqqhmfs2DBApSXl1u3AQMGdGKLiYiIuienMZvxmogovzSj7JmTGy+ip8prh/yOO+5ISeCSfNuyZUvWx7/ssstwwQUX4LjjjsOUKVPwwgsv4N1338Xrr7+e8Tl33nkn6urqrNuXX36Z9esTEZEzAnAc3J1Ol6PsuC1mM14TEeVXNknduIY8VV7XkN988824+uqrW91nyJAhHfZ6Q4YMQe/evbFt2zZMnDgx7T5+v59JZIiI8kRkkSAG4BS4zuC2mM14TUSUX9msIec19FR57ZBXVlaisrKy017vv//9L/bv34++fft22msSEZEzHPF2J8ZsIiJKxCzrHaNg1pDv2LEDmzdvxo4dO6CqKjZv3ozNmzejsbHR2mf48OF49tlnAQCNjY249dZbsXHjRnz++edYu3YtLrzwQhxxxBGYPHlyvt4GERG1Qp+y7vxG7sKYTUTU9ekdcq4hP1QF0yGfN28eTjjhBNxzzz1obGzECSecgBNOOAHvvfeetc/WrVtRV1cHAFAUBR988AEuuOACHHXUUZg5cyZGjx6NN998k1PciIhcSsD5+vFcj6hfcMEFGDhwIAKBAPr27Ysrr7wSu3btsu3zwQcf4IwzzkAgEMCAAQPwk5/8JKdtcjvGbCKirk/L4sbueKqCqUO+YsWKNuuZioSTsmAwiFdeeSXHrSIiog7lwhHvCRMm4Ac/+AH69u2LnTt34pZbbsEll1yCv/3tbwCA+vp6nH322Zg0aRKWLl2KDz/8ENdccw0qKiowa9asPLc+PxiziYi6vuzWkLssyLtAwXTIiYio6zOzrGf1xBy56aabrN8HDRqEO+64A1OmTEE0GoXX68XKlSsRiUTw5JNPwufz4ZhjjsHmzZvxyCOPdNsOORERdX1cQ94xCmbKOhERdX3ZriEXACKRCOrr6223cDjcoe07cOAAVq5cibFjx8Lr9QIANmzYgHHjxsHn81n7TZ48GVu3bsXBgwc79PWJiIjcIrs65PlutfuwQ05ERK6SbVK3ZcuWoby83HZbsGBBh7Tp9ttvR3FxMXr16oUdO3bgz3/+s/VYTU0NqqqqbPub92tqajrk9YmIiNwmmzrk7I+n4pT1NpjrHBoaGvLcEiIidzG/FztyPVjWU9YBXHvttXjwwQdt2zIlBLvjjjvw0EMPtXq8Tz/9FMOHDwcA3HrrrZg5cya++OIL3HfffbjqqqvwwgsvQJKkrNpKHS9dvJa4VpFcQvC7gvIoF/EaAFQ4j9nMsp6KHfI2mP+AjzziiDy3hIjInRoaGlBeXt4hxxKHkNTN5/OhrKysXfvefPPNuPrqq1vdZ8iQIdbvvXv3Ru/evXHUUUdhxIgRGDBgADZu3IgxY8aguroau3fvtj3XvF9dXe3sTVDWGK+JiFrXkfEaMEbInT6nw16962CHvA39+vXDl19+idLS0g4fCamvr8eAAQPw5Zdftvsksjvh59M2fkat4+fTtkP5jIQQaGhoQL9+/Tq0TbkuYwYAlZWVqKyszOq5mqafTpjr08eMGYO77rrLSvIGAGvWrMGwYcPQo0ePjmkwtYnxOr/4GbWOn0/b+Bm1zo3xWhMCqsNJ6BwgT8UOeRtkWUb//v1z+hplZWX84mkFP5+28TNqHT+ftmX7GXXklXYgntTNLd555x28++67OP3009GjRw989tln+OEPf4ihQ4dizJgxAIBp06bhvvvuw8yZM3H77bfjo48+ws9//nMsXLgwz63vXhiv3YGfUev4+bSNn1Hr3BKvAX20m1nWDx2TuhERkWsIOM/YqgqRsyQxRUVF+NOf/oSJEydi2LBhmDlzJkaOHIn169db69PLy8vx6quvYvv27Rg9ejRuvvlmzJs3jyXPiIioy2r4dDt2IeT4ebsQwr/++GoOWlS4OEJORESUwXHHHYfXXnutzf1GjhyJN998sxNaRERElH9/+vsbGHvKqTgGpShpZ5dyF0LYhRDeqfkqx60rLBwhzyO/34977rknYxbg7o6fT9v4GbWOn0/bXPcZZVFCxU1T3Klrct3/Jy7Ez6h1/Hzaxs+odW77fE4++WQMQhDvorZd+wsIvIODOB5lKaVCuztJdHT+eyIioiz8/ve/x82XXYXr/M7XAf84tB3vffhPHHvssTloGRERESXbvn07jhwyFN9CNXrB1+q+29CEDTiIvU31KCoq6qQWFgaOkBMRkatoWdyIiIiocw0ePBjHoAQbcbDV/VQI/B21eOxXT7AzngY75ERE5Bp6lnXnSd2Qs7RuRERElMm6/Z9jDyL4Ei0Z9/kYDfBCwvTp0zuxZYWDSd2IiMg13Fb2jIiIiDLr2bMnTkQZ3sFBHIYAZEi2x8NQ8T7qsPovL0JRlDy10t04Qk5ERK7iprJnRERE1Lp1LV8hDA3/RlPKY/9APXrDh8mTJ+ehZYWBHXIX+PzzzzFz5kwMHjwYwWAQQ4cOxT333INIJJLvprnGAw88gLFjx6KoqAgVFRX5bo4rLF68GIcffjgCgQBOPfVU/P3vf893k1zjjTfewPnnn49+/fpBkiSsXr06301ylQULFuDkk09GaWkp+vTpgylTpmDr1q35bhYAQDDLOrkY43X7MGanYszOjDG7dW6O2aZAIIBfrHwK76IWsYTMLg2I4WM04Pn3/wZJklo5QvfGDrkLbNmyBZqm4Re/+AU+/vhjLFy4EEuXLsUPfvCDfDfNNSKRCKZOnYrZs2fnuymu8Lvf/Q5z587FPffcg/fffx+jRo3C5MmTsWfPnnw3zRWampowatQoLF68ON9NcaX169djzpw52LhxI9asWYNoNIqzzz4bTU2pV7Y7W/ZryIlyj/G6fRiz7RizW8eY3To3x+xEl112GYJQ8CEarG1/Ry0GowgnnHBCHlvmfix75lIPP/wwlixZgv/85z/5boqrrFixAjfeeCNqa2vz3ZS8OvXUU3HyySfj//7v/wAAmqZhwIAB+N73voc77rgjz61zF0mS8Oyzz2LKlCn5bopr7d27F3369MH69esxbty4vLXj97//Pb5/6VWYKvd1/NxfaF9g04cfsOwZdTrG68wYs3WM2e3HmN02t8TsdNatW4dzzpqIy3AYGhHDc9iNz774HAMHDsx301yNI+QuVVdXh549e+a7GeRCkUgEmzZtwqRJk6xtsixj0qRJ2LBhQx5bRoWqrq4OAFzxnSPgfHScI+SUT4zX1BrGbOpoborZySZMmIBqBLAJddiIgzgWpeyMtwOzrLvQtm3b8Nhjj+GnP/1pvptCLrRv3z6oqoqqqirb9qqqKmzZsiVPraJCpWkabrzxRpx22mmuGF0OQ8PnInPplExYi5zygfGa2sKYTR3JbTE7nb98/B6OO+YY+CDjk9rd+W5OQeAIeQ7dcccdkCSp1Vvyl/HOnTtxzjnnYOrUqbjuuuvy1PLOkc3nQ0Qda86cOfjoo4/w29/+Nt9NwahRozBo1DHYPqKX49vXTj8Nhx12WL7fAhUoxuu2MWYT5Z+bYnYmRx99NE5DT5yJXigvL893cwoCR8hz6Oabb8bVV1/d6j5Dhgyxft+1axcmTJiAsWPH4oknnshx6/LP6edDut69e0NRFOzebb/quHv3blRXV+epVVSIbrjhBrzwwgt444030L9//3w3B8OGDcPmzZvz3Qzqhhiv28aYnR3GbOoobovZrXlD7M93EwoKO+Q5VFlZicrKynbtu3PnTkyYMAGjR4/G8uXLIctdf/KCk8+H4nw+H0aPHo21a9daSU80TcPatWtxww035LdxVBCEEPje976HZ599Fq+//joGDx6c7yYR5RXjddsYs7PDmE2HijG762OH3AV27tyJ8ePHY9CgQfjpT3+KvXv3Wo/x6qlux44dOHDgAHbs2AFVVa1RtCOOOAIlJSX5bVwezJ07F9OnT8dJJ52EU045BYsWLUJTUxNmzJiR76a5QmNjI7Zt22bd3759OzZv3oyePXsyuQj0KW+rVq3Cn//8Z5SWlqKmpgYAUF5ejmAwmOfWEbkX43X7MGbbMWa3jjG7dYzZ3YCgvFu+fLmAXn435Ua66dOnp/181q1bl++m5c1jjz0mBg4cKHw+nzjllFPExo0b890k11i3bl3afy/Tp0/Pd9NcIdP3zfLly/PdNCJXY7xuH8bsVIzZmTFmt44xu+tjHXIiIiIiIiKiPOgeC5+IiIiIiIiIXIYdciIiIiIiIqI8YIeciIiIiIiIKA/YISciIiIiIiLKA3bIiYiIiIiIiPKAHXIiIiIiIiKiPGCHnIiIiIiIiCgP2CEnIiIiIiIiygN2yImIiIiIiIjygB1yIiIiIiIiojxgh5yIiIiIiIgoD9ghJ3K5p556Cr169UI4HLZtnzJlCq688so8tYqIiIiSMWYTkVPskBO53NSpU6GqKp577jlr2549e/Diiy/immuuyWPLiIiIKBFjNhE5xQ45kcsFg0FMmzYNy5cvt7b95je/wcCBAzF+/Pj8NYyIiIhsGLOJyCl2yIkKwHXXXYdXX30VO3fuBACsWLECV199NSRJynPLiIiIKBFjNhE5IQkhRL4bQURtGz16NC655BKcffbZOOWUU/D5559jwIAB+W4WERERJWHMJqL28uS7AUTUPtdeey0WLVqEnTt3YtKkSQzsRERELsWYTUTtxRFyogJRV1eHfv36IRaL4amnnsKll16a7yYRERFRGozZRNReXENOVCDKy8tx8cUXo6SkBFOmTMl3c4iIiCgDxmwiai92yIkKyM6dO/Gd73wHfr8/300hIiKiVjBmE1F7cMo6UQE4ePAgXn/9dVxyySX45JNPMGzYsHw3iYiIiNJgzCYiJ5jUjagAnHDCCTh48CAeeughBnYiIiIXY8wmIic4Qk5ERERERESUB1xDTkRERERERJQH7JATERERERER5QE75ERERERERER5wA45ERERERERUR6wQ05ERERERESUB+yQExEREREREeUBO+REREREREREecAOOREREREREVEe/H+Hoj2irCLINAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1000x700 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Mode data\n",
    "print(f\"Effective indices: {coupled.n_eff.values}\")\n",
    "print(f\"Effective mode areas (µm²): {coupled.mode_area.values}\")\n",
    "\n",
    "fig, ax = pyplot.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
    "\n",
    "coupled.plot_field(\"Ey\", mode_index=0, ax=ax[0, 0])\n",
    "ax[0, 0].set_title(\"Ey (q-TE symmetric)\")\n",
    "\n",
    "coupled.plot_field(\"Ey\", mode_index=1, ax=ax[0, 1])\n",
    "ax[0, 1].set_title(\"Ey (q-TE anti-symmetric)\")\n",
    "\n",
    "coupled.plot_field(\"Ez\", mode_index=2, ax=ax[1, 0])\n",
    "ax[1, 0].set_title(\"Ez (q-TM symmetric)\")\n",
    "\n",
    "coupled.plot_field(\"Ez\", mode_index=3, ax=ax[1, 1])\n",
    "ax[1, 1].set_title(\"Ez (q-TM anti-symmetric)\")\n",
    "\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "833f9679-bcf0-456d-8da4-883f83304a3d",
   "metadata": {},
   "source": [
    "In a similar fashion, vertical slot waveguides can also be simulated easily:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "1b94edbd-5214-4d13-95cd-dc15025aad04",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1100x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "slot = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=(0.22, 0.22),\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    gap = 0.06,\n",
    "    mode_spec=td.ModeSpec(\n",
    "        num_modes=1,\n",
    "        precision=\"double\",\n",
    "    ),\n",
    ")\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 3, figsize=(11, 4), tight_layout=True)\n",
    "\n",
    "slot.plot_structures(x=0, ax=ax[0])\n",
    "\n",
    "# We use 'robust=False' because we're interested in the large values at the slot\n",
    "slot.plot_field(\"E\", val=\"abs\", ax=ax[1], robust=False)\n",
    "\n",
    "# Plot a cross-section of the field component normal to the gap\n",
    "ey = slot.mode_solver.data.Ey\n",
    "_ = ey.squeeze(drop=True).sel(z=0.55 * slot.core_thickness, method='nearest').real.plot(ax=ax[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb007947-2dfe-41da-8699-fec43981132d",
   "metadata": {},
   "source": [
    "## Surface Models"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d681e9d5-9bc8-4fd8-9865-c976fd2e4860",
   "metadata": {},
   "source": [
    "Besides using lossy materials for all waveguide regions (core, and upper and lower claddings), it is also possible to create separate medium layers along the sidewalls and top surfaces of the waveguide to model localized losses independently.\n",
    "\n",
    "In the following models, we exagerate those regions and decrease the domain size only to show a close-up of the resulting geometry.\n",
    "Decreasing the domain size is only advisable if we know the modes will have properly decaied to insignificant values at the domain boundaries.\n",
    "Also note that the colors in each plot correspond to different materials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "fe3f1b8f-c355-466b-9eb6-aa23fe58a60a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = pyplot.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
    "\n",
    "lossy0 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap = 0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    surface_thickness=0.03,\n",
    "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy0.plot_structures(x=0, ax=ax[0, 0])\n",
    "ax[0, 0].set_title(\"Strip with surface layer\")\n",
    "\n",
    "lossy1 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    slab_thickness=0.1,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap = 0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    surface_thickness=0.03,\n",
    "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy1.plot_structures(x=0, ax=ax[0, 1])\n",
    "ax[0, 1].set_title(\"Rib with surface layer\")\n",
    "\n",
    "lossy2 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap = 0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    sidewall_thickness=0.05,\n",
    "    sidewall_medium=td.Medium.from_nk(n=3.2, k=0.01, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy2.plot_structures(x=0, ax=ax[1, 0])\n",
    "ax[1, 0].set_title(\"Strip with sidewall layer\")\n",
    "\n",
    "lossy3 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    slab_thickness=0.1,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap = 0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    sidewall_thickness=0.05,\n",
    "    sidewall_medium=td.Medium.from_nk(n=3.2, k=0.01, freq=td.C_0 / 1.55),\n",
    "    surface_thickness=0.03,\n",
    "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy3.plot_structures(x=0, ax=ax[1, 1])\n",
    "_ = ax[1, 1].set_title(\"Rib with both layers\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b5475c5-2af5-406f-bcb6-bdb2397a51af",
   "metadata": {},
   "source": [
    "## A Note about Accuracy\n",
    "\n",
    "By default, the waveguide class uses `grid_resolution = 15`. This value is enough for quick mode solving with effective indices relatively accurate (usually within 10% of the best estimate). If higher accuracy is desired, `grid_resolution` can be increased to higher values, for example, to improve the calculation of derived values (group index, coupling length, mode losses, etc.)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "18e6dae8-989d-40e1-9c3e-2451ec546326",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "grid_resolution = np.arange(15, 46, 3)\n",
    "n_eff = np.squeeze(\n",
    "    [\n",
    "        waveguide.RectangularDielectric(\n",
    "            wavelength=1.55,\n",
    "            core_width=0.5,\n",
    "            core_thickness=0.22,\n",
    "            core_medium=si,\n",
    "            clad_medium=sio2,\n",
    "            grid_resolution=res,\n",
    "        ).n_eff.values\n",
    "        for res in grid_resolution\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "e6852c78-76e4-40bc-a83f-04a175b32aad",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, ax = pyplot.subplots(1, 1)\n",
    "ax.plot(grid_resolution, n_eff, \".-\")\n",
    "ax.legend([\"TE\", \"TM\"])\n",
    "ax.set(xlabel=\"Grid resolution\", ylabel=\"Effective index\")\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "938b1150-22dc-4fcd-bde9-dd84c96eee29",
   "metadata": {},
   "source": [
    "Note that even for higher resolutions, the local mode solver will still oscillate around the best esimate. That's an effect of the grid discretization of the simulation domain, which varies with the resolution. For the best results, the [server-side mode solver](../ModeSolver.html#Storing-server-side-computed-modes) should be prefered."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}