{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6f11633c",
   "metadata": {},
   "source": [
    "# Bistability in photonic crystal microcavities"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9db9c629",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "Here we take advantage of Tidy3D's nonlinear capability to demonstrate optical bistability. We base this example on the paper from Yanik et al. titled [_High-contrast all-optical bistable switching in photonic crystal microcavities_](https://doi.org/10.1063/1.1615835). In this paper, a photonic crystal waveguide coupled with a point-defect cavity with Kerr nonlinearity achieves high-contrast transmission between two stable states.\n",
    "\n",
    "<center><img src=\"img/bistability.png\" alt=\"diagram\" width=\"600\"/></center>\n",
    "\n",
    "For more simulation examples, please visit our [examples page](https://www.flexcompute.com/tidy3d/examples/). If you are new to the finite-difference time-domain (FDTD) method, we highly recommend going through our [FDTD101](https://www.flexcompute.com/fdtd101/) tutorials. FDTD simulations can diverge due to various reasons. If you run into any simulation divergence issues, please follow the steps outlined in our [troubleshooting guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/) to resolve it.\n",
    "\n",
    "## Setup\n",
    "\n",
    "We first import the packages we'll need."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0ae8464c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# standard python imports\n",
    "import gdstk\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy\n",
    "\n",
    "# tidy3D import\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "173272c1",
   "metadata": {},
   "source": [
    "The waveguide-cavity system we examine is given by a square lattice (with lattice constant a) of high dielectric rods ($n$ = 3.5) of radius $.2a$. The waveguide is given by removing a row of these rods, and the cavity is given by a point defect in the crystal - instead of a rod, the defect is an ellipse with major and minor axes of $a$ and $2a$, respectively. Here we will set $a$ = 1.\n",
    "\n",
    "To build this in Tidy3D, we take advantage of the \"square_cylinder_array\" method in the [common photonic crystal structures](https://www.flexcompute.com/tidy3d/examples/notebooks/PhotonicCrystalsComponents/) page in the Tidy3D learning center.\n",
    "\n",
    "Since we are dealing with a photonic crystal with discrete translational symmetry, we can get spurious reflections if we simply use a PML boundary condition. Thus, instead we use the custom absorbing condition given in Mekis et al.'s [Absorbing boundary conditions for FDTD simulations of photonic crystal waveguides](https://ieeexplore.ieee.org/document/819374). This is a $k$-matched distributed Bragg reflector waveguide consisting of a periodic array of alternating periodic slabs, with the waveguide given by a single line defect of a single slab with larger thickness. Since this waveguide has continuous translational symmetry, we can now feed it into a standard PML boundary. For simplicity, in defining the parameters for this waveguide, we use the parameters given in Mekis et al."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "175eaa22",
   "metadata": {},
   "outputs": [],
   "source": [
    "def square_cylinder_array(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    R,\n",
    "    hole_spacing_x,\n",
    "    hole_spacing_y,\n",
    "    n_x,\n",
    "    n_y,\n",
    "    height,\n",
    "    medium,\n",
    "    reference_plane=\"bottom\",\n",
    "    sidewall_angle=0,\n",
    "    axis=2,\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # R: radius of the circular holes (um)\n",
    "    # hole_spacing_x: distance between centers of holes in x direction (um)\n",
    "    # hole_spacing_y: distance between centers of holes in y direction (um)\n",
    "    # n_x: number of cylinders in x direction\n",
    "    # n_y: number of cylinders in y direction\n",
    "    # height: height of array\n",
    "    # medium: medium of the cylinders\n",
    "    # reference_plane\n",
    "    # sidewall_angle: angle slant of cylinders\n",
    "    # axis\n",
    "\n",
    "    cylinder_group = []\n",
    "\n",
    "    start_x, start_y = x0 + hole_spacing_x * (1 - n_x) / 2, y0 + hole_spacing_y * (1 - n_y) / 2\n",
    "    for i in range(0, n_x):\n",
    "        for j in range(0, n_y):\n",
    "            c = td.Cylinder(\n",
    "                axis=axis,\n",
    "                sidewall_angle=sidewall_angle,\n",
    "                reference_plane=reference_plane,\n",
    "                radius=R,\n",
    "                center=(start_x + i * hole_spacing_x, start_y + j * hole_spacing_y, z0),\n",
    "                length=height,\n",
    "            )\n",
    "            cylinder_group.append(c)\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=cylinder_group), medium=medium)\n",
    "    return structure\n",
    "\n",
    "\n",
    "def DBR(\n",
    "    x0,\n",
    "    y0,\n",
    "    z0,\n",
    "    length,\n",
    "    thickness,\n",
    "    spacing,\n",
    "    num_layers,\n",
    "    medium,\n",
    "    direction=\"+\",\n",
    "):\n",
    "    # parameters\n",
    "    # ------------------------------------------------------------\n",
    "    # x0: x coordinate of center of the array (um)\n",
    "    # y0: y coordinate of center of the array (um)\n",
    "    # z0: z coordinate of center of the array (um)\n",
    "    # length: Length of slabs\n",
    "    # thickness: thickness of slabs (um)\n",
    "    # spacing: space between each slab (um)\n",
    "    # num_layers: number of slabs\n",
    "    # medium: medium of the slabs\n",
    "    # direction: does it extend right or left from the center?\n",
    "\n",
    "    slab_group = []\n",
    "    orientation = 1\n",
    "    if direction != \"+\":\n",
    "        orientation = -1\n",
    "    start_x, start_y = x0 + orientation * length / 2, y0 - num_layers / 2 * a\n",
    "    for i in range(0, num_layers + 1):\n",
    "        if i != num_layers // 2:\n",
    "            s = td.Box(center=(start_x, start_y + i * a, 0), size=(length, thickness, td.inf))\n",
    "            slab_group.append(s)\n",
    "    structure = td.Structure(geometry=td.GeometryGroup(geometries=slab_group), medium=medium)\n",
    "    return structure"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "732409db",
   "metadata": {},
   "source": [
    "## Define Structure\n",
    "\n",
    "We now carve out our waveguide and introduce or ellipse point defect. While the end goal of this notebook is to take advantage of the ellipse's nonlinearity, we must first find the resonant frequency of the cavity when it behaves linearly - thus we set the material as a linear material for now.\n",
    "\n",
    "We also want to compute $\\kappa$, a nonlinear feedback parameter crucial to our simulations - more on this later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8d4272e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_rods = 3.5\n",
    "rod = td.Medium(permittivity=n_rods**2)\n",
    "n_air = 1\n",
    "air = td.Medium(permittivity=n_air)\n",
    "\n",
    "# Kerr coefficient\n",
    "n2 = 1.5e-17  # m^2/W, from paper\n",
    "n2 *= 1e12  # convert to um^2/W\n",
    "\n",
    "a = 1\n",
    "radius = 0.2 * a\n",
    "block_rows = 21\n",
    "block_cols = 17\n",
    "\n",
    "######################### SIMPLE CRYSTAL ##########################\n",
    "block = square_cylinder_array(\n",
    "    0, 0, -a, radius, a, a, block_cols, block_rows, td.inf, rod, reference_plane=\"middle\"\n",
    ")\n",
    "######################### WAVEGUIDE WITHOUT CAVITY ##########################\n",
    "waveguide = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=[0, 0, 0],\n",
    "        size=[td.inf, a, td.inf],\n",
    "    ),\n",
    "    medium=air,\n",
    "    name=\"waveguide\",\n",
    ")\n",
    "########################### WAVEGUIDE WITH CAVITY ###########################\n",
    "cavity_air = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=[0, -3 * a, 0],\n",
    "        size=[a, a, td.inf],\n",
    "    ),\n",
    "    medium=air,\n",
    "    name=\"cavity air\",\n",
    ")\n",
    "air_block = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=[-22 * a, 0, 0],\n",
    "        size=[30 * a - a / 2, td.inf, td.inf],\n",
    "    ),\n",
    "    medium=air,\n",
    "    name=\"air block\",\n",
    ")\n",
    "\n",
    "################### DISTRIBUTED BRAGG REFLECTOR BOUNDARY ###################\n",
    "thickness = 0.25 * a\n",
    "n_DBR = 10.2\n",
    "dbr_med = td.Medium(permittivity=n_DBR**2)\n",
    "dbr_boundary = DBR(block_cols * a / 2, 0, 0, 20, thickness, a, block_rows - 1, dbr_med)\n",
    "\n",
    "################################## CAVITY ##################################\n",
    "major = a\n",
    "minor = 0.2 * a\n",
    "cavity_gdstk = gdstk.ellipse((0, -3 * a), (minor / 2, major / 2))\n",
    "cavity_cell = gdstk.Cell(\"Ellipse\")\n",
    "cavity_cell.add(cavity_gdstk)\n",
    "cavity = td.PolySlab.from_gds(\n",
    "    cavity_cell,\n",
    "    gds_layer=0,\n",
    "    gds_dtype=0,\n",
    "    axis=2,\n",
    "    slab_bounds=(-td.inf, td.inf),\n",
    "    reference_plane=\"bottom\",\n",
    ")[0]\n",
    "\n",
    "cavity_structure = td.Structure(\n",
    "    geometry=cavity,\n",
    "    medium=rod,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9dee7bcf",
   "metadata": {},
   "outputs": [],
   "source": [
    "freqs = np.linspace(1.08e14, 1.1e14, 1000)\n",
    "freq0 = freqs[len(freqs) // 2]\n",
    "fwidth = freqs[-1] - freqs[0]\n",
    "\n",
    "run_time = 10000 / freq0\n",
    "\n",
    "# simulation parameters\n",
    "x_span = 27 * a\n",
    "y_span = 17 * a\n",
    "\n",
    "min_steps_per_wvl = 30\n",
    "gridSpecUniform = td.GridSpec.uniform(dl=a / 24)\n",
    "\n",
    "pulse = td.GaussianPulse(freq0=freq0, fwidth=fwidth)\n",
    "source_distance = 9\n",
    "gaussianBeam = td.GaussianBeam(\n",
    "    center=[-source_distance * a, 0, 0],\n",
    "    size=[0, td.inf, td.inf],\n",
    "    source_time=pulse,\n",
    "    direction=\"+\",\n",
    "    pol_angle=np.pi / 2,\n",
    "    waist_radius=2.0 * a,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46122b9b",
   "metadata": {},
   "source": [
    "## Things to Compute in the Linear Case\n",
    "\n",
    "We wish to compute the resonant frequency $\\omega_{res}$ and the characteristic power of the cavity, given by\n",
    "\n",
    "<center>$P_0=1/[\\kappa Q^2 n_2 /c]$</center>\n",
    "\n",
    "where $Q$ is the cavity quality factor, $n_2$ is the Kerr coefficient we'll use, and $\\kappa$ is a nonlinear feedback parameter, a measure of the efficiency of the feedback system.\n",
    "We then use this to compute the cavity decay rate $\\gamma=\\omega_{res}/(2Q)$.\n",
    "\n",
    "To compute $\\omega_{res}$ and $Q$, we use Tidy3D's [resonance finder](https://docs.flexcompute.com/projects/tidy3d/en/v1.8.0/_autosummary/tidy3d.plugins.ResonanceFinder.html).\n",
    "\n",
    "In computing $\\kappa$, we use the definition given by Soljacic et al. in [_Optimal bistable switching in nonlinear photonic crystals_](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.055601):\n",
    "\n",
    "<center>$\\kappa=(\\frac{c}{\\omega_{res}})^2\\frac{\\int d^2r[|E(r)\\cdot E(r)|^2 + 2|E(r)\\cdot E^*(r)|^2]n^2(r)n_2(r)}{[\\int d^2r|E(r)|^2n^2(r)]^2n_2}$</center>\n",
    "\n",
    "## Define Monitors and Simulation\n",
    "\n",
    "We now input our monitors - a field monitor and permittivity monitor over the extent of the cavity's mode to compute $\\kappa$ (field_monitor_cavity and permittivity_monitor_cavity), a field time monitor to compute our resonant frequency and cavity quality factor (field_time_monitor_wg), and a flux monitor at the end of the waveguide to find transmission vs frequency (flux_monitor)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6ed5c419",
   "metadata": {},
   "outputs": [],
   "source": [
    "cavity_monitor_size = 7\n",
    "field_monitor_cavity = td.FieldTimeMonitor(\n",
    "    fields=[\"Ez\"],\n",
    "    center=[0, -3 * a, 0],\n",
    "    size=[cavity_monitor_size * a, cavity_monitor_size * a, 0],\n",
    "    start=run_time * 8 / 10,\n",
    "    stop=run_time * 8 / 10,\n",
    "    name=\"field cavity\",\n",
    ")\n",
    "permittivity_monitor_cavity = td.PermittivityMonitor(\n",
    "    center=[0, -3 * a, 0],\n",
    "    size=[cavity_monitor_size * a, cavity_monitor_size * a, 0],\n",
    "    freqs=freqs[0],\n",
    "    name=\"permittivity cavity\",\n",
    ")\n",
    "\n",
    "flux_distance = 4.5\n",
    "\n",
    "field_time_monitor_wg = td.FieldTimeMonitor(\n",
    "    fields=[\"Ez\"],\n",
    "    center=[flux_distance * a, 0, 0],\n",
    "    size=(0, 0, 0),\n",
    "    start=run_time\n",
    "    * 8\n",
    "    / 10,  # time to start monitoring after source has decayed, units of 1/frequency bandwidth\n",
    "    name=\"field time wg\",\n",
    ")\n",
    "flux_monitor = td.FluxMonitor(\n",
    "    center=[flux_distance * a, 0, 0],\n",
    "    size=[0, td.inf, td.inf],\n",
    "    freqs=freqs,\n",
    "    normal_dir=\"+\",\n",
    "    name=\"flux\",\n",
    ")\n",
    "\n",
    "x_boundary = td.Boundary(minus=td.PML(num_layers=80), plus=td.PML(num_layers=80))\n",
    "\n",
    "sim_linear = td.Simulation(\n",
    "    center=(0, -a, 0),\n",
    "    size=[x_span, y_span, 0],\n",
    "    medium=air,\n",
    "    grid_spec=gridSpecUniform,\n",
    "    structures=[block, waveguide, cavity_air, cavity_structure, dbr_boundary, air_block],\n",
    "    sources=[gaussianBeam],\n",
    "    monitors=[\n",
    "        field_monitor_cavity,\n",
    "        permittivity_monitor_cavity,\n",
    "        field_time_monitor_wg,\n",
    "        flux_monitor,\n",
    "    ],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec(x=x_boundary, y=td.Boundary.periodic(), z=td.Boundary.periodic()),\n",
    "    shutoff=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "615c6f76",
   "metadata": {},
   "source": [
    "## Visualize Simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ab6e96ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_linear.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d06499a9",
   "metadata": {},
   "source": [
    "## Run Simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d583e987",
   "metadata": {
    "scrolled": true
   },
   "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\">19:24:07 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'bistable_pc_cavity'</span> with task_id                    \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:24:07 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'bistable_pc_cavity'\u001b[0m with task_id                    \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \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                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">ea-4cfa-864b-b4c432670a17'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=182941;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=468281;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=182941;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=892270;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=182941;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[32m-a6d93e1a-c7\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=182941;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[32mea-4cfa-864b-b4c432670a17'\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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=619603;https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "75fe1299961c476682152420a2ed0752",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:24:09 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.097</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:24:09 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.097\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. 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 \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \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\">19:24:10 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:24:10 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "95730c4ef0e54d78bf464ec3b07c4e15",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:27:23 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:27:23 CEST\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \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>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7496e9a49f62454a85a32762fdeb3f14",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:29:23 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:29:23 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">ea-4cfa-864b-b4c432670a17'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=998604;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=128625;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=998604;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=98424;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=998604;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[4;34m-a6d93e1a-c7\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=998604;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a6d93e1a-c7ea-4cfa-864b-b4c432670a17\u001b\\\u001b[4;34mea-4cfa-864b-b4c432670a17'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9e629325a6bc46e2bcf4e39770e6bf21",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:29:25 CEST </span>loading simulation from simulation_data.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:29:25 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_linear_data = web.run(sim_linear, task_name=\"bistable_pc_cavity\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a523cad3",
   "metadata": {},
   "source": [
    "## Calculate Linear Resonance\n",
    "\n",
    "We plot the flux through the waveguide vs frequency to verify that the the transmission vanishes on cavity resonance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6063aa4d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flx_cavity = sim_linear_data[\"flux\"].flux\n",
    "plt.plot(freqs, flx_cavity, label=\"Output Flux\")\n",
    "plt.xlabel(\"Frequency\")\n",
    "plt.ylabel(\"Transmission Flux\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e786e105",
   "metadata": {},
   "source": [
    "## Compute Resonance Frequency and Q\n",
    "\n",
    "We import Tidy3D's resonance finder "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "28903589",
   "metadata": {},
   "outputs": [],
   "source": [
    "from tidy3d.plugins.resonance import ResonanceFinder\n",
    "\n",
    "resfinder = ResonanceFinder(freq_window=(freqs[0], freqs[-1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3cbaf5e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>decay</th>\n",
       "      <th>Q</th>\n",
       "      <th>amplitude</th>\n",
       "      <th>phase</th>\n",
       "      <th>error</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>freq</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1.090839e+14</th>\n",
       "      <td>9.367333e+10</td>\n",
       "      <td>3658.429286</td>\n",
       "      <td>2.098772e-04</td>\n",
       "      <td>1.132468</td>\n",
       "      <td>0.000001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.110648e+14</th>\n",
       "      <td>1.791427e+10</td>\n",
       "      <td>19477.228236</td>\n",
       "      <td>2.364962e-05</td>\n",
       "      <td>0.274686</td>\n",
       "      <td>0.000001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.097692e+14</th>\n",
       "      <td>2.507186e+10</td>\n",
       "      <td>13754.465905</td>\n",
       "      <td>1.640013e-05</td>\n",
       "      <td>2.821875</td>\n",
       "      <td>0.000001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.082281e+14</th>\n",
       "      <td>1.375605e+10</td>\n",
       "      <td>24717.008100</td>\n",
       "      <td>4.919318e-07</td>\n",
       "      <td>0.022186</td>\n",
       "      <td>0.000012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.087747e+14</th>\n",
       "      <td>1.076515e+11</td>\n",
       "      <td>3174.371148</td>\n",
       "      <td>5.881885e-06</td>\n",
       "      <td>1.443805</td>\n",
       "      <td>0.000022</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.136711e+14</th>\n",
       "      <td>-5.163738e+10</td>\n",
       "      <td>-6915.692026</td>\n",
       "      <td>1.055470e-06</td>\n",
       "      <td>1.763058</td>\n",
       "      <td>0.000063</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     decay             Q     amplitude     phase     error\n",
       "freq                                                                      \n",
       "1.090839e+14  9.367333e+10   3658.429286  2.098772e-04  1.132468  0.000001\n",
       "1.110648e+14  1.791427e+10  19477.228236  2.364962e-05  0.274686  0.000001\n",
       "1.097692e+14  2.507186e+10  13754.465905  1.640013e-05  2.821875  0.000001\n",
       "1.082281e+14  1.375605e+10  24717.008100  4.919318e-07  0.022186  0.000012\n",
       "1.087747e+14  1.076515e+11   3174.371148  5.881885e-06  1.443805  0.000022\n",
       "1.136711e+14 -5.163738e+10  -6915.692026  1.055470e-06  1.763058  0.000063"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res_data = resfinder.run_scalar_field_time(signal=sim_linear_data.monitor_data[\"field time wg\"].Ez)\n",
    "res_data = res_data.sortby(\"error\")\n",
    "res_data.to_dataframe()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42493f84",
   "metadata": {},
   "source": [
    "As you can see, the resonant frequency here agrees with the transmission spectrum shown above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e7e871bf",
   "metadata": {},
   "outputs": [],
   "source": [
    "Q = res_data.Q[0].item()\n",
    "fres = res_data.freq[0].item()\n",
    "w_res = fres * 2 * np.pi\n",
    "gamma = w_res / 2 / Q"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "901b1c51",
   "metadata": {},
   "source": [
    "## Computing $\\kappa$\n",
    "\n",
    "We take advantage of our permittivity monitor data to use our $n(r),n_2(r)$ functions needed in the integrals of the above definition of $\\kappa$. Note that, due to symmetry, the only nonzero field component is $E_z$. To get $n_2(r)$, we mask the permittivity monitor outside of the ellipse, and matshow to verify that this window only contains the nonlinear ellipse, and does not cut it off. We then compute the integrals and solve for $\\kappa$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "48338319",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "kappa =  0.16661322815252477\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_r = np.where(\n",
    "    sim_linear_data.monitor_data[\"permittivity cavity\"].eps_zz[1:, 1:, 0, 0] != 1.0 + 0.0j,\n",
    "    n_rods,\n",
    "    1,\n",
    ")\n",
    "n2_r = np.zeros(n_r.shape)\n",
    "x, y = n_r.shape\n",
    "\n",
    "# compute length between entries in monitor data\n",
    "entry_length_x, entry_length_y = cavity_monitor_size * a / x, cavity_monitor_size * a / y\n",
    "# compute number of entries that span a/2\n",
    "wx, wy = int(a / entry_length_x / 2), int(3 * a / entry_length_y / 4)\n",
    "# coordinates in entries of the monitor\n",
    "rod_x, rod_y = x // 2, y // 2  # + wy//2\n",
    "\n",
    "# isolate rod within window for n_2(r)\n",
    "n2_r[rod_x - wx : rod_x + wx, rod_y - wy : rod_y + wy] = n_r[\n",
    "    rod_x - wx : rod_x + wx, rod_y - wy : rod_y + wy\n",
    "]\n",
    "n2_r = np.where(n2_r > 1, n2, 0)\n",
    "\n",
    "# get field components at resonant frequency\n",
    "Ez = sim_linear_data.monitor_data[\"field cavity\"].Ez[:, :, 0, 0]\n",
    "\n",
    "integrand_num = (np.abs(Ez * Ez) ** 2 + 2 * np.abs(Ez * np.conjugate(Ez)) ** 2) * n_r**2 * n2_r\n",
    "integrand_den = np.abs(Ez) ** 2 * n_r**2\n",
    "\n",
    "int_num = integrand_num.integrate(coord=(\"x\", \"y\")).item()\n",
    "int_den = integrand_den.integrate(coord=(\"x\", \"y\")).item()\n",
    "\n",
    "kappa = (td.C_0 / w_res) ** 2 * int_num / ((int_den) ** 2 * n2)\n",
    "print(\"kappa = \", kappa)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2)\n",
    "ax[0].imshow(n2_r.T)\n",
    "ax[0].set_title(\"$n_2(r)$\")\n",
    "ax[1].imshow(np.abs(Ez).T)\n",
    "ax[1].set_title(\"$|E_Z(r)|$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "342eb113",
   "metadata": {},
   "source": [
    "We can now define the characteristic power of the cavity:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d5fcbdfd",
   "metadata": {},
   "outputs": [],
   "source": [
    "P_0 = td.C_0 / (kappa * Q**2 * w_res * n2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75ea0703",
   "metadata": {},
   "source": [
    "## Waveguide normalization\n",
    "\n",
    "We need to normalize the input power of our nonlinear simulation by the transmission intrinsic to the waveguide (without the cavity). The power frequency of our nonlinear source must be detuned by at least $\\delta=\\sqrt{3}$, where\n",
    "\n",
    "<center>$\\delta=(\\omega_{res}-\\omega_{input})/\\gamma$,</center>\n",
    "\n",
    "in order to be considered bistable. In Yanik et al., the frequency is detuned by $2\\sqrt{3}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d0580ea0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "109032284108908.83\n"
     ]
    }
   ],
   "source": [
    "detuning = 2 * np.sqrt(3)\n",
    "detuned_freq = (w_res - detuning * gamma) / (2 * np.pi)\n",
    "print(detuned_freq)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3596d45",
   "metadata": {},
   "source": [
    "## Define Waveguide-Only simulation for Normalization\n",
    "\n",
    "We now update the previous simulation to only contain the waveguide in order to properly gauge the waveguide power input:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c43a092a",
   "metadata": {},
   "source": [
    "We take advantage of Tidy3D's CustomSourceTime method to use this power function as a source with our desired detuned frequency:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2f1b229b",
   "metadata": {},
   "outputs": [],
   "source": [
    "sim_waveguide = sim_linear.updated_copy(\n",
    "    monitors=[flux_monitor], structures=[block, waveguide, dbr_boundary, air_block]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f687fc53",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_waveguide.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "fb14ac35",
   "metadata": {},
   "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\">19:29:27 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'bistable_pc'</span> with task_id                           \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-6fe31a75-a88c-4102-92c3-9d44ed932978'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:29:27 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'bistable_pc'\u001b[0m with task_id                           \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-6fe31a75-a88c-4102-92c3-9d44ed932978'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \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                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a8</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">8c-4102-92c3-9d44ed932978'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=431306;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=372419;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=431306;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=430373;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=431306;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[32m-6fe31a75-a8\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=431306;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[32m8c-4102-92c3-9d44ed932978'\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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=889228;https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f151d4ba99ba4aef913a4207e52b0011",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:29:29 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.097</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:29:29 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.097\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. 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 \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \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\">19:29:30 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:29:30 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "83f34de31b724078aa05c9514b6f7409",
       "version_major": 2,
       "version_minor": 0
      },
      "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\">19:29:40 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:29:40 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:29:44 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:29:44 CEST\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \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>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3d5823acab564cb49aad05e7094743d1",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:31:24 CEST </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:31:24 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6f9bd6d365e24fd788fd74fdf57a02d9",
       "version_major": 2,
       "version_minor": 0
      },
      "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\">19:31:26 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:31:26 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:31:28 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a8</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">8c-4102-92c3-9d44ed932978'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:31:28 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=854906;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=50169;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=854906;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=367435;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=854906;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[4;34m-6fe31a75-a8\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=854906;https://tidy3d.simulation.cloud/workbench?taskId=fdve-6fe31a75-a88c-4102-92c3-9d44ed932978\u001b\\\u001b[4;34m8c-4102-92c3-9d44ed932978'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c4bf776e73d340a4807a88a49b777dba",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:31:30 CEST </span>loading simulation from simulation_data.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:31:30 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_waveguide_data = web.run(sim_waveguide, task_name=\"bistable_pc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f59c5a25",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transmission at detuned frequency:  0.4375650882720947\n"
     ]
    }
   ],
   "source": [
    "flx_waveguide = sim_waveguide_data[\"flux\"].flux\n",
    "detuned_transmission = sim_waveguide_data[\"flux\"].flux.sel(f=detuned_freq, method=\"nearest\").item()\n",
    "print(\"Transmission at detuned frequency: \", detuned_transmission)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "488399c9",
   "metadata": {},
   "source": [
    "## Define Input Power\n",
    "\n",
    "We define the source. We first use scipy's erf function to ramp up input power from 0 to $3.95P_0$, hold this power, then add a pulse with peak power of $20.85P_0$ to perform the switch, then go back down to $3.95P_0$. The frequency of this power curve is detuned by $\\delta=2\\sqrt{3}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4d01c1df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ramp up to CW\n",
    "muramp = 3 / gamma  # central time for ramp up\n",
    "sigmaramp = 1 / gamma  # time width for ramp up\n",
    "\n",
    "PCW = 3.95 * P_0\n",
    "# switching pulse\n",
    "mupulse = 12.5 / gamma\n",
    "sigmapulse = 1.5 / gamma\n",
    "Ppeak = 20.85 * P_0\n",
    "\n",
    "\n",
    "def power_curve(t):\n",
    "    t /= gamma\n",
    "    sig = np.sqrt(PCW) * (1 + scipy.special.erf((t - muramp) / (sigmaramp * np.sqrt(2)))) / 2\n",
    "    sig += (np.sqrt(Ppeak) - np.sqrt(PCW)) * np.exp(-(((t - mupulse) / sigmapulse) ** 2) / 2)\n",
    "    return sig\n",
    "\n",
    "\n",
    "nt = 2000\n",
    "tmax = 19 / gamma\n",
    "times = np.linspace(0, tmax, nt)\n",
    "pulse_run_time = tmax\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(6, 5))\n",
    "ax.set_xlabel(r\"t$\\gamma$\")\n",
    "ax.set_ylabel(\"$P/P_0$\")\n",
    "\n",
    "plt.plot(times * gamma, np.abs(power_curve(times * gamma)) ** 2 / P_0)\n",
    "plt.plot(times * gamma, np.abs(power_curve(times * gamma)) ** 2 / P_0 / detuned_transmission)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93842d94",
   "metadata": {},
   "source": [
    "We now create our source time with power amplitude given by this power curve, normalized with the transmission through the waveguide waveguide at our detuned frequency.\n",
    "\n",
    "## Normalization Note:\n",
    "\n",
    "Notice that we also normalize by a factor of two. This is because, in Yanik et al., peak power is given, whereas the source power gives the cycle average power, which is 1/2 the peak power, so we need to multiply by 2 to get the peak power."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "991ef3b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "source_time = td.CustomSourceTime.from_values(\n",
    "    freq0=detuned_freq,\n",
    "    fwidth=fwidth,\n",
    "    values=power_curve(times * gamma) / np.sqrt(2 * detuned_transmission),\n",
    "    dt=times[1] - times[0],\n",
    ")\n",
    "nonlinear_source = gaussianBeam.updated_copy(\n",
    "    center=[-source_distance * a, 0, 0], source_time=source_time\n",
    ")\n",
    "fig, ax = plt.subplots(1, 1, figsize=(5, 4))\n",
    "source_time.plot(np.linspace(0, pulse_run_time, 20000), ax=ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6691bfea",
   "metadata": {},
   "source": [
    "## Nonlinear Simulation\n",
    "\n",
    "Now we add nonlinearity to the cavity, and input a pulse to switch between bistable states. The bistable states will have the same input power at the same (detuned from $\\omega_{res}$) frequency, but will have very different transmissions through the waveguide.\n",
    "\n",
    "To add nonlinearity, we compute $\\chi^{(3)}$ according to the formula:\n",
    "\n",
    "<center>$\\chi^{(3)}=\\frac{n_2nRe(n)}{283}$</center>\n",
    "\n",
    "\n",
    "and add this to the ellipse geometry we've already defined:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d99b101f",
   "metadata": {},
   "outputs": [],
   "source": [
    "chi3 = n2 * n_rods * np.real(n_rods) / 283\n",
    "\n",
    "cavityMedium = td.Medium(\n",
    "    permittivity=n_rods**2,\n",
    "    nonlinear_spec=td.NonlinearSpec(models=[td.NonlinearSusceptibility(chi3=chi3)], num_iters=10),\n",
    ")\n",
    "\n",
    "cavity_structure_nonlinear = td.Structure(\n",
    "    geometry=cavity,\n",
    "    medium=cavityMedium,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29458b6c",
   "metadata": {},
   "source": [
    "## Define Further Monitors\n",
    "\n",
    "We wish to examine the field profiles before and after the pulse at the different stable states, so we add [FieldTimeMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldTimeMonitor.html) at these times."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "f77a6d4f",
   "metadata": {
    "scrolled": true
   },
   "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\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: The monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'interval'</span><span style=\"color: #800000; text-decoration-color: #800000\"> field was left as its default     </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">value, which will set it to </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #800000; text-decoration-color: #800000\"> internally. A value of </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #800000; text-decoration-color: #800000\"> means that </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">the data will be sampled at every time step, which may potentially</span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">produce more data than desired, depending on the use case. To     </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">reduce data storage, one may downsample the data by setting       </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'interval &gt; 1'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or by choosing alternative </span><span style=\"color: #008000; text-decoration-color: #008000\">'start'</span><span style=\"color: #800000; text-decoration-color: #800000\"> and </span><span style=\"color: #008000; text-decoration-color: #008000\">'stop'</span><span style=\"color: #800000; text-decoration-color: #800000\">      </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">values for the time sampling. If you intended to use the highest  </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">resolution time sampling, you may suppress this warning by        </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">explicitly setting </span><span style=\"color: #008000; text-decoration-color: #008000\">'interval=1'</span><span style=\"color: #800000; text-decoration-color: #800000\"> in the monitor.                   </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: The monitor \u001b[0m\u001b[32m'interval'\u001b[0m\u001b[31m field was left as its default     \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mvalue, which will set it to \u001b[0m\u001b[1;36m1\u001b[0m\u001b[31m internally. A value of \u001b[0m\u001b[1;36m1\u001b[0m\u001b[31m means that \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mthe data will be sampled at every time step, which may potentially\u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mproduce more data than desired, depending on the use case. To     \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mreduce data storage, one may downsample the data by setting       \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'interval > 1'\u001b[0m\u001b[31m or by choosing alternative \u001b[0m\u001b[32m'start'\u001b[0m\u001b[31m and \u001b[0m\u001b[32m'stop'\u001b[0m\u001b[31m      \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mvalues for the time sampling. If you intended to use the highest  \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mresolution time sampling, you may suppress this warning by        \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mexplicitly setting \u001b[0m\u001b[32m'\u001b[0m\u001b[32minterval\u001b[0m\u001b[32m=\u001b[0m\u001b[32m1\u001b[0m\u001b[32m'\u001b[0m\u001b[31m in the monitor.                   \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "field_before_pulse = td.FieldTimeMonitor(\n",
    "    center=[0, 0, 0],\n",
    "    size=[td.inf, td.inf, 0],\n",
    "    name=\"field before pulse\",\n",
    "    start=6 / gamma,\n",
    "    stop=6 / gamma,\n",
    "    fields=[\"Ez\"],\n",
    ")\n",
    "field_after_pulse = td.FieldTimeMonitor(\n",
    "    center=[0, 0, 0],\n",
    "    size=[td.inf, td.inf, 0],\n",
    "    name=\"field after pulse\",\n",
    "    start=19 / gamma,\n",
    "    stop=19 / gamma,\n",
    "    fields=[\"Ez\"],\n",
    ")\n",
    "flux_t = td.FluxTimeMonitor(\n",
    "    center=[flux_distance * a, 0, 0],\n",
    "    size=[0, td.inf, td.inf],\n",
    "    name=\"flux t\",\n",
    "    normal_dir=\"+\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5fb95116",
   "metadata": {},
   "source": [
    "## Define Nonlinear Simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "6cd97ad0",
   "metadata": {},
   "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\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: </span><span style=\"color: #008000; text-decoration-color: #008000\">'normalize_index'</span><span style=\"color: #800000; text-decoration-color: #800000\"> </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span><span style=\"color: #800000; text-decoration-color: #800000\"> is a source with </span><span style=\"color: #008000; text-decoration-color: #008000\">'CustomSourceTime'</span><span style=\"color: #800000; text-decoration-color: #800000\">  </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">time dependence. Normalizing frequency-domain monitors by this    </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">source is only meaningful if field decay occurs.                  </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: \u001b[0m\u001b[32m'normalize_index'\u001b[0m\u001b[31m \u001b[0m\u001b[1;36m0\u001b[0m\u001b[31m is a source with \u001b[0m\u001b[32m'CustomSourceTime'\u001b[0m\u001b[31m  \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mtime dependence. Normalizing frequency-domain monitors by this    \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31msource is only meaningful if field decay occurs.                  \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_nonlinear = sim_linear.updated_copy(\n",
    "    run_time=pulse_run_time,\n",
    "    medium=air,\n",
    "    sources=[nonlinear_source],\n",
    "    monitors=[field_before_pulse, field_after_pulse, flux_t],\n",
    "    structures=[block, waveguide, cavity_air, cavity_structure_nonlinear, air_block, dbr_boundary],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "1d809988",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_nonlinear.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ed11ddc0",
   "metadata": {
    "scrolled": true
   },
   "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\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Simulation has </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.08e+06</span><span style=\"color: #800000; text-decoration-color: #800000\"> time steps. The </span><span style=\"color: #008000; text-decoration-color: #008000\">'run_time'</span><span style=\"color: #800000; text-decoration-color: #800000\"> may be</span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">unnecessarily large, unless there are very long-lived resonances. </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Simulation has \u001b[0m\u001b[1;36m2.08e+06\u001b[0m\u001b[31m time steps. The \u001b[0m\u001b[32m'run_time'\u001b[0m\u001b[31m may be\u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31munnecessarily large, unless there are very long-lived resonances. \u001b[0m\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>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'bistable_pc'</span> with task_id                           \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-2971e73a-6c2c-441d-b649-d45b4ef25109'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'bistable_pc'\u001b[0m with task_id                           \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-2971e73a-6c2c-441d-b649-d45b4ef25109'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \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                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">2c-441d-b649-d45b4ef25109'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=447269;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=316765;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=447269;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=875631;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=447269;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[32m-2971e73a-6c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=447269;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[32m2c-441d-b649-d45b4ef25109'\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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=883751;https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8f3e55131a6141b0a7cb0362c9e334d8",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:31:33 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.326</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:31:33 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.326\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. 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 \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \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\">19:31:34 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:31:34 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3bab7647fc8146139f80d8317f8e3c87",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:50:56 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:50:56 CEST\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \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\">19:50:57 CEST </span>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:50:57 CEST\u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e3335e26ddfb4894a30679193b4c747f",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:57:06 CEST </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:57:06 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6fe8a7c4463a43c9a67723891b2f3ee0",
       "version_major": 2,
       "version_minor": 0
      },
      "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\">19:57:08 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:57:08 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:57:10 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">2c-441d-b649-d45b4ef25109'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:57:10 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=379242;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=1068;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=379242;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=233935;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=379242;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[4;34m-2971e73a-6c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=379242;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2971e73a-6c2c-441d-b649-d45b4ef25109\u001b\\\u001b[4;34m2c-441d-b649-d45b4ef25109'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b751482068c241019978742e78048d50",
       "version_major": 2,
       "version_minor": 0
      },
      "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\"></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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:57:13 CEST </span>loading simulation from simulation_data.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:57:13 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5                      \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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: </span><span style=\"color: #008000; text-decoration-color: #008000\">'normalize_index'</span><span style=\"color: #800000; text-decoration-color: #800000\"> </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span><span style=\"color: #800000; text-decoration-color: #800000\"> is a source with </span><span style=\"color: #008000; text-decoration-color: #008000\">'CustomSourceTime'</span><span style=\"color: #800000; text-decoration-color: #800000\">  </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">time dependence. Normalizing frequency-domain monitors by this    </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #800000; text-decoration-color: #800000\">source is only meaningful if field decay occurs.                  </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: \u001b[0m\u001b[32m'normalize_index'\u001b[0m\u001b[31m \u001b[0m\u001b[1;36m0\u001b[0m\u001b[31m is a source with \u001b[0m\u001b[32m'CustomSourceTime'\u001b[0m\u001b[31m  \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31mtime dependence. Normalizing frequency-domain monitors by this    \u001b[0m\n",
       "\u001b[2;36m              \u001b[0m\u001b[31msource is only meaningful if field decay occurs.                  \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_nonlinear_data = web.run(sim_nonlinear, task_name=\"bistable_pc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "51c7e217",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nnHACzj///E1+7IBxgEks3NdPsLn2BYHQBQRsZigjdC9/+cuxceNGvPzlLx+XdlXBRCJ0n/zkJ/Hxj38cr3zlK/HFL34RL3rRi/DWt74V3/nOd7puK6XECSecgGuuuQZnnHEGLrnkEjz99NM45phj8MADD2TW/elPf4pFixZhq622whe/+EUsWrQIF198MT70oQ9VaucPf/hD3H///Tj99NNH3NfR4n3vex+uu+46PPTQQ+PWhoCALR2klFLj3YiAgH5j/fr1GBwcHO9mjAv23XdfbLfddpPStHriiSfirrvuwiOPPDKu7XjiiScwb948nH766fjSl74EAFBKYcGCBXj44YfxyCOPgHNeuv33vvc9vPnNb8a1116LN77xjQCAZ555BnvssQde85rX4JprrnHr7rPPPojjGHfccQeiSMepnXvuufj0pz+Ne+65B3vttVfHtp500kl47rnn8Ktf/apPve8drVYLs2bNwhlnnIHFixePWzsCxhbHH388Hpq6N+Ye+bq+7nfNo/fiqe9ehCeffLKv+93SEBS6gAmPJ554Au95z3swd+5c1Ot1zJs3D+9///vRbDYBAEuXLgUR4Re/+AU+8IEPYPvtt8eOO+7otr/yyiuxzz77oF6vY+7cufjgBz+I1atXZ47xwAMP4G//9m8xe/ZsNBoN7LjjjnjLW96CF154wa1z44034qijjsJWW22FqVOnYs8998QnPvGJru2vst3w8DAuuOAC7LbbbqjX69hpp51w9tlnY3h4uG1/3/rWt3D44YdjypQp2HrrrfHyl78cP/vZzwAAu+yyC+6++2784he/0DUXiXDMMccAHXzorr32WhxyyCEYGBjAdttth7e//e144oknMuu8853vxNSpU/HEE09g0aJFmDp1KmbOnImPfvSjEEJ0PQfXX389TjjhBHcNd911V3zqU5/KbHvMMcfgxz/+MR599FHX9l122aV0n+985zvdevnPhRde2LVN3drbarXwgQ98wC0jIrz//e/H448/juXLl3fc/vvf/z5mzZqFN7zhDW7ZzJkz8aY3vQnXX3+9u6733HMP7rnnHpx++umOzAHABz7wASil8P3vf7/jcYaGhnDDDTfguOOOyyx/5JFHQESFSm3+/Fx44YUgIvzpT3/C29/+dsyYMQMzZ87EeeedB6UU/vKXv+Ckk07C9OnTMXv2bHzuc59r22ccxzjmmGNw/fXXd2xvwOQH9dl/Tn/Gu1ebB0LakoAJjSeffBKHH36480faa6+98MQTT+D73/8+NmzYgFqt5tb9wAc+gJkzZ+L888/H+vXrATNZXXTRRTjuuOPw/ve/H/fffz++8pWv4He/+x1+85vfII5jNJtNLFy4EMPDw/jQhz6E2bNn44knnsCPfvQjrF69GjNmzMDdd9+NE088Efvvvz8WL16Mer2OBx98EL/5zW86tr/KdlJKvO51r8Ovf/1rnH766XjJS16CP/7xj7jsssvwpz/9CcuWLXPrXnTRRbjwwgtx5JFHYvHixajVarj99ttxyy234FWvehUuv/xy50v1yU9+EgAwa9as0vYtXboU73rXu3DYYYdhyZIlWLVqFb7whS/gN7/5De68805stdVWbl0hBBYuXIgjjjgC//Iv/4KbbroJn/vc57Drrrvi/e9/f8fzsHTpUkydOhVnnXUWpk6diltuuQXnn38+1qxZg0svvRQwJs4XXngBjz/+OC677DIA6OgT9vd///dtROaGG27At7/9bWy//fZu2bPPPtuxbRbTpk1DvV4HANx5550YHBzES17yksw6hx9+uPv9qKOOKt3XnXfeiYMPPhgsN1MdfvjhuPrqq/GnP/0J++23H+68804AwKGHHppZb+7cudhxxx3d72X4/e9/j2aziYMPPrhSHzvhzW9+M17ykpfgM5/5DH784x/j4osvxjbbbIOvfvWreMUrXoHPfvaz+Pa3v42PfvSjOOyww9pM94cccgiuv/56rFmzBtOnTx91ewICAnpDIHQBExrnnHMOVq5cidtvvz0z6S1evBh5b4FtttkGN998szOFPfPMM1iyZAle9apX4ac//ambXPfaay+cccYZ+Na3voV3vetduOeee/Dwww9nzGMAMk7eN954I5rNJn76059iu+22q9z+Kttdc801uOmmm/CLX/wiQxL23XdfvO9978Ntt92GI488Eg8++CAWL16M17/+9fj+97+fIQv2XCxatAjnnnuuU9o6odVq4eMf/zj23Xdf/PKXv0Sj0QAAHHXUUTjxxBNx2WWX4aKLLnLrDw0N4c1vfjPOO+88wPhNHXzwwfja177WldBdc801GBgYcN/f97734X3vex+uvPJKXHzxxajX63jlK1+JHXbYAc8//3zXtgPA/PnzMX/+fPf9wQcfxBlnnIFXvvKV+Pu//3u3fObMmV33BQDf+MY38M53vhMA8NRTT2HWrFltztpz5swBzItGJzz11FOFvor+9vvttx+eeuqpzPL8ut2Oc9999wEA5s2b16V33XH44Yfjq1/9KgDg9NNPxy677IJ//Md/xJIlS/Dxj38cAHDKKadg7ty5+PrXv97Wvxe/+MWQUuK+++5zxDdg8wPRGESlhqCIviAInQETFlJKLFu2DK997WvbFAyYgcXHaaedlvFruummm9BsNnHmmWdmyM9pp52G6dOn48c//jEAYMaMGQCA//7v/8aGDRsK22KVquuvvx5Sysp9qLLdtddei5e85CXYa6+98Oyzz7rPK17xCgDArbfeCgBYtmwZpJQ4//zz25SfkUSJ3XHHHXj66afxgQ98wJE5ADjhhBOw1157ufPj433ve1/m+9FHH40///nPXY/lk7m1a9fi2WefxdFHH40NGzY4UjIarF+/Hq9//eux9dZb4z//8z8z98GNN95Y6bNw4UK3zcaNG51a58Oep40bN3ZsT9Xt7d+ydbsd569//SsAYOutt+64XhW8973vdf9zznHooYdCKYX3vOc9bvlWW22FPffcs/Ca2zZUVUQDAgL6i6DQBUxYPPPMM1izZg323XffSuvnVYpHH30UALDnnntmltdqNbz4xS92v8+bNw9nnXUWPv/5z+Pb3/42jj76aLzuda9z/kQw5qh/+7d/w3vf+1780z/9E4499li84Q1vwBvf+MY2cuWjynYPPPAA7r333lIl6emnnwYAPPTQQ2CMYe+99650Prqh7PzAqJi//vWvM8sajUZbG7feems8//zzXY91991349xzz8Utt9yCNWvWZH7z/RRHitNOOw0PPfQQbrvtNmy77baZ3/Jm2SoYGBgo9F8cGhpyv/dje/u3bN1ux7HoR2zbi170osz3GTNmoNFotCnLM2bMcESyqA0hBcXmDUYA77NC1+/9bakIhC5gs0HVya8In/vc5/DOd74T119/PX72s5/hwx/+MJYsWYLf/va32HHHHTEwMIBf/vKXuPXWW/HjH/8YN9xwA7773e/iFa94BX72s5+VRjxW2U5Kif322w+f//znC/ex0047jbhf/USnqM5OWL16NRYsWIDp06dj8eLF2HXXXdFoNLBixQp8/OMf70nxLMIXvvAF/Od//ie+9a1v4cADD2z7feXKlZX2M2PGDHcPzZkzB7feeiuUUhmCYk2kc+fO7bivOXPmuHV95Le3ptannnqq7To/9dRTXU2Xlrw+//zzmUCgMnQifkXXt+yaF+3HEvteXBICJh+IqO8EjAVC1xcEk2vAhMXMmTMxffr0EWeg33nnnQEA999/f2Z5s9nEww8/7H632G+//XDuuefil7/8JX71q1/hiSeewFVXXeV+Z4zh2GOPxec//3ncc889+Od//mfccsstziRahm7b7brrrnjuuedw7LHH4rjjjmv7WAVt1113hZQS99xzT8fjVVVIys6PXZY/PyPFz3/+c/z1r3/F0qVL8ZGPfAQnnngijjvuuEIzYa/qzq9+9St89KMfxZlnnom3ve1thevMmTOn0ue73/2u2+bAAw/Ehg0bcO+992b2dfvtt7vfO+HAAw/EihUr2sjq7bffjilTpmCPPfbI7OeOO+7IrPfkk0/i8ccf73ocm9Lk4YcfLvx97dq1me+rVq3quL/R4OGHHwZjzPUtICBg0yIQuoAJC8YYFi1ahB/+8IdtEx4qmJmOO+441Go1XHHFFZl1v/a1r+GFF17ACSecAABYs2ZNW1b+/fbbD4wxZwp77rnn2vZvJ9sic5lFle3e9KY34YknnsC//uu/tq27ceNGF7G7aNEiMMawePHiNqLg929wcLAtLUsRDj30UGy//fa46qqrMn346U9/invvvdedn9HCqjx+G5vNJq688sq2dQcHByubYJ966im86U1vwlFHHeUiZYswEh+6k046CXEcZ9qolMJVV12FHXbYAUceeWSmHffddx9arZZb9sY3vhGrVq3CD37wA7fs2WefxbXXXovXvva1zmdun332wV577YWrr746k8LlK1/5CogoE6RThEMOOQS1Wq3w+YDnf2lx3XXXub70G7///e+xzz77ODeFgM0T1uTazw8LZvq+IJhcAyY0Pv3pT+NnP/sZFixY4FJ6PPXUU7j22mvx61//OpNWI4+ZM2finHPOwUUXXYRXv/rVeN3rXof7778fV155JQ477DAXSXnLLbfgjDPOwMknn4w99tgDSZLgP/7jP8A5x9/+7d8CJqr2l7/8JU444QTsvPPOePrpp3HllVdixx137Ji+osp2f/d3f4fvfe97eN/73odbb70VL3vZyyCEwH333Yfvfe97+O///m8ceuih2G233fDJT34Sn/rUp3D00UfjDW94A+r1On73u99h7ty5WLJkCWAm+a985Su4+OKLsdtuu2H77bd3ARY+4jjGZz/7WbzrXe/CggULcMopp7i0Jbvssgv+4R/+YdTXDwCOPPJIbL311jj11FPx4Q9/GESE//iP/ygkFYcccgi++93v4qyzzsJhhx2GqVOn4rWvfW3hfj/84Q/jmWeewdlnn91WvWH//ffH/vvvD4zQh27HHXfEmWeeiUsvvRStVguHHXYYli1bhl/96lf49re/nTFFnnPOOfj3f/93PPzwwy5v3hvf+Ea89KUvdVHU2223Ha688koIITKRwwBw6aWX4nWvex1e9apX4S1veQvuuusufOlLX8J73/vetrQpeTQaDbzqVa/CTTfdVJjQ94YbbsDb3vY2vPzlL8ef/vQnXH311ZgyZQp+9rOf4bDDDsOJJ57Y87kpQqvVcnkgAzZvMNZ/kysP0lJfEAhdwITGDjvsgNtvvx3nnXcevv3tb2PNmjXYYYcd8JrXvAZTpkzpuv2FF16ImTNn4ktf+hL+4R/+Adtssw1OP/10fPrTn0YcxwCAAw44AAsXLsQPf/hDPPHEE5gyZQoOOOAA/PSnP8VLX/pSAMDrXvc6PPLII/j617+OZ599Fttttx0WLFiAiy66qKMiUWU7xhiWLVuGyy67DN/85jdx3XXXYcqUKXjxi1+Mj3zkIxkT1uLFizFv3jx88YtfxCc/+UlMmTIF+++/P/7u7/7OrXP++efj0UcfxSWXXIK1a9diwYIFhYQOJjnvlClT8JnPfAYf//jHMTg4iNe//vX47Gc/25Es94Jtt90WP/rRj/CP//iPOPfcc7H11lvj7W9/O4499tiMKgaTS/B///d/8Y1vfAOXXXYZdt5551JC98wzz0AIgbPOOqvttwsuuMARupHiM5/5DLbeemt89atfxdKlS7H77rvjW9/6Ft761rd23ZZzjp/85Cf42Mc+hiuuuAIbN27EYYcdhqVLl7YFoZx44on4wQ9+gIsuuggf+tCHMHPmTHziE5+oXBv13e9+N/72b/8Wf/nLX9r88M477zzccsst+MhHPoK5c+di6dKlWLFiBS6//HKsWLGib4Tu5ptvxnPPPYdTTz21L/sLCAjoHaH0V0BAQMAkhhACe++9N970pjfhU5/6FGAqRcybNy+TW28ssWjRIhCRM+kGbJ44/vjjsXLmAZi3YFFf9/vcn+/G/V8/N5T+GiWC0BkQEBAwicE5x+LFi/HlL38Z69at2+THv/fee/GjH/3IkcmAgIDxQTC5BgQEBExyvPnNb8ab3/zmcTn2S17ykragooDNF4yAKOShm5AIhC4gICAgICCgEtgY5KHjIcq1L5hwJtdddtlF14rLfT74wQ8Wrr906dK2df0yRjAh+ueffz7mzJmDgYEBHHfccXjggQc2UY8CAgICNi122WUXKKU2if9cQEDAxMCEU+h+97vfZfIx3XXXXXjlK1+Jk08+uXSb6dOnZ5Kj5pOTXnLJJbjiiivw7//+75g3bx7OO+88LFy4EPfcc08b+QsICAgICAgoxliU/gqVIvqDCUfo8rUiP/OZz2DXXXfFggULSrchIsyePbvwN6UULr/8cpx77rk46aSTAADf/OY3MWvWLCxbtgxvectb+tyDgICAgICAzROMMfAO9atHts9A6PqBCUfofDSbTXzrW9/CWWed1bEk0Lp167DzzjtDSomDDz4Yn/70p7HPPvsAphzNypUrM8lFZ8yYgSOOOALLly8vJXTDw8OZ7PlSSjz33HPYdtttQ/HpgICAgIAJAaUU1q5di7lz54L1mWgFTC5MaEK3bNkyrF69uqMfyJ577omvf/3r2H///fHCCy/gX/7lX3DkkUfi7rvvxo477ugKc8+aNSuz3axZszoW7V6yZElbRveAgICAgICJiL/85S/Ycccdx/w4NAYm116DIi688MK2+XnPPffEfffdV7rNtddei/POOw+PPPIIdt99d3z2s5/F8ccfP+I2T0RMaEL3ta99Da95zWswd+7c0nXmz5+P+fPnu+9HHnkkXvKSl+CrX/3qqPIinXPOOZkM9C+88AJe9KIX4YEHH8S0adMAnZUZagRqnZ/KWXpfRpLhWSq7T5X5XrQOSmo4+oqj/5wy0r/ZZWQinIh036EkSElAybRTSurfzP+Zv/n/i0Cs8vfMuffXK1sOQOX3V3SMEhRda+pDXu6R3EMBkwOd7o9O173X7crWr3Jv+dva9ftxX4+kLYXbVWiKrLDSWGfQ93uXr03aqevdzrV/TfL/k1JYs24ddt9tNzcvbSnYZ599cNNNN7nvUVROZ2677TaccsopWLJkCU488URcc801WLRoEVasWIF99913E7V47DFhCd2jjz6Km266KVPcugriOMZBBx2EBx98EACcb92qVaswZ84ct96qVatckfQi1Ot1V0Dbx7Rp0zB9+nSgD4SuH2QuT+RU0W8Fx7bwm888csfIEriU1BUSOpnonVpyB0Pa8mROdiFyPnyzAXX+XxX9nr8m3UhdB0LX64TYCwKR2zIwErLV6zajIXS9tmG0GG9i5/Y3ola0o6g3PqHr1t0q59mStyJC55ZtovFkLNKWjMSHLoqiUt/5PL7whS/g1a9+NT72sY8BAD71qU/hxhtvxJe+9CVcddVVPR97omLCGty/8Y1vYPvtt8cJJ5zQ03ZCCPzxj3905G3evHmYPXs2br75ZrfOmjVrcPvtt2eUvV4xVoNd5hglH+RUN6n04CSU/l9IBaEUpFkmpP9R7iO935SCWV9BKeX2Wdp3n8ABnlKX+0j9IVXtozskUwLYRd2jIsVvlNdGmXPXAwWFMuet63pm0LXr91J5r9f1R7LNpmjXltZ3n8DY9bvdW4qo7V4pQ34sqnqMom02BUgp9+lpO0o/ZWBEmU/H/fXpU9SGfmMsCPtIYaNc+/kZCT984IEHMHfuXLz4xS/G2972Njz22GOl6y5fvjzjRw8ACxcuxPLly0dyCiYsJqRCJ6XEN77xDZx66qltMuo73vEO7LDDDliyZAlgipW/9KUvxW677YbVq1fj0ksvxaOPPor3vve9gHlrOfPMM3HxxRdj9913d2lL5s6di0WLRl6Pzr4djRW63d+Mis2r/qCsVLtJtmhdIoJUVqHrsaGG3KXfZZsqR0Wm1zyMSkZKpgqalFqtU7JdRSta1gcopSCEcAMl57zrm2/iEVAiAmOscBu7TwlAesdgjHV1ZpZSQnoqZ7d2KaX0Mcz3MTuGlJn7qKzv/jZ+WqJK7RLCKS8EgFVoV8/H6EPfOeedj2GuCcy90Ou9BdMPf5siMpdI6ZSb0fR9rMc4jMLKYTfp1jyfXPWi3o0ERUQuiPC9Yc2aNZnvZZayI444AkuXLsWee+6Jp556ChdddBGOPvpo3HXXXYWm55UrV/bsRz8ZMSEJ3U033YTHHnsM7373u9t+e+yxxzID1PPPP4/TTjsNK1euxNZbb41DDjkEt912G/bee2+3ztlnn43169fj9NNPx+rVq3HUUUfhhhtumJA56Dr5YcAMSlRiLvDfyi2Zyy/LHIvSHxgACdJ/CbBTk1QAp9w2ylPkitS5bkROqfaRziNoGVJXhk6/d5qIu5hbfTJnv3fyzZD+hOspHfmJ2t+nlLLtu02KXdhmQx7yxy0jEGSJg7lXAECZfnU6hhIic/9JIcA79N2pr+lOOh7D7jPjs9WlXZASyj8GACUlGGOlREAVHAOGdBVt459fu12n8wsUKFrmmlIJeVJEkF55LFIKMkkQRVFpPyxhTB9Tpc93B4Jm++FeHkZ5b9n93Pn735cecyyxJbglVCXNPsH2za3r168f4xZmwYj6XtmBE2Ht2rWYMWNGZvkFF1yACy+8sG3917zmNe7//fffH0cccQR23nlnfO9738N73vOevrZtMmFCErpXvepVpfL/z3/+88z3yy67DJdddlnH/RERFi9ejMWLF/e1nf1EEZEremYYqPBNMxv4kCVzRT57dl9lx1FFpKsIJapbIZlTuUaWTTKWZNmJq6OPW5d1MkEU3RW9fkwgXU1wud+d+anE2V0VmKeKWtl1YpASKCAp2oReKPdmJpD8MYqufFdTWlFQjk9acscpVFWsKlag7pBSHX2jCttW1OYuxAlStqtjHZR15fk8jRTd+maPkyG/Xe7nwiCpgus+lsSKOpyb6uerR/OteWksdNkYAcrHlu7nbbKR1rHyoZs2bRqeeOKJzPIida4IW221FfbYYw/nO5/H7NmzsWrVqsyyVatWVfbBmyyYsD50kwGjfRCLFDifzPm+Ju5DJjAhF5HaDcUk0Azaxn/O+s4Vgfz2OrLmRbN66lwlv7aSwIVSMkcs+38Rmcs72HQjcwXL8kpGN5NYkepTZZvC5QXXG2XkzUyAZf5IRceg3KSZOUbJ+kXrWhSbmHrse049yh+narv87frhwzSSa9hpGyLKDLbdlEx418v3pxvpvdXL+kUm3cKxyL9/Ovzedk1z333SOPIPq/aB/itZBAUGSVFfPuXH7N72qufOvxdGaqqe6Jg+fXrmU5XQrVu3Dg899FAm8NHH/PnzM370AHDjjTeOyo9+ImJCKnSTBf14qBhpxS0fFWUDD9qOCQYQgYEgrGlPKTDSARDd0ElFgEcS/WjXzPFzKUkqv+GWnaci0sXKSRzKiFzB/tADkbNgjKWmLuOD1Llbeh0ldWRJN58lUgrcXHNpt+dc96FEjbD+Wa5dXfzUbD9gTXBE4N42ZapH5hg99N2a7Lr5z2GE55dzDlHx/NptyFyTKn59bee3Qrvy55dZwlYyJpBpu5TSXXfqYDZ2/eBcm3Mr+gL6x2AV/A3zfecFRJOUwsEHH9zxuP3EaFNBVcFY+NON1IduJKqtf47yfmdjDZoAeeg++tGP4rWvfS123nlnPPnkk7jgggvAOccpp5wCFPjaf+QjH8GCBQvwuc99DieccAK+853v4I477sDVV1/d136MNwKhGwVGSubyc3fexNoWRer5lymP1JHShEsZMkcdSIE7dkl7/JQl+XUZ5cLwuwQ5ZEwZljzlv+fJVpEi5/3tmp6kimm1i8lVGeWzm3N7HlWITF514pyD+34x3a5bBaf7onb1kjl+oh6DiBD1sA1ZH59x6nv+Rc9XQf3rXvUYth9VJn7/GBbdtiIiRBOowkDe3Ftpm+5D36RH3iy9uap0VfD444/jlFNOwV//+lfMnDkTRx11FH7729+60qF5X/sjjzwS11xzDc4991x84hOfwO67745ly5ZtVjnoEAjd+CE/ABWSuUzCXmFInIRiEQjMqXu+Kc0GNTCkip0mbFnfuzKzlCV3vlJH3m9d88kxZhzE0wAH/Q9rJ1pVSVyFpMGjSRiMUZrPR+sXFbD5od/XddS+d51Uugl6DxaZZTuuP86kLm9pqYpNEU3cT3AiRP1W6Hrc33e+852Ov+d97QHg5JNPxsknn9xz2yYTAqEbR7S5ExWRuUxQgSYpJBNN6hgHA0FBQZH+WYLAlIK0CYGdaS8Ngsgf26pzzFPqyClz6fqZQadoACKTYsR7M1JFbpqFRK2DXxy6kLcKyttYoNMgPFZVJQICRoLJruZUVe2cm2/FdCb9NL2ORf65iQjG+m9y7fPutlgEQjdK9GOg9P3S8mQu76NmdThSUkcyMA4y5lZufrWkDgwQkrSJRymA4Hxr3LFtFQjKETvyiV36BumnK8l2oiRfXH4dFJA3lBO4wnX88zHGg2ivJKxTe8byTXwsSzYFBEwUVB1vq6p1Y0Hs+onJpt4FjC8CoRsB+vW2m1W8CsicTNxvLkebJXV2kWJmUFIQ0A8/oyyp01Gsur2+b42vvvlkjpNP7MjlnitNDNyNzFVU34rIW3HeMP9LycntgE3hqLwpkalEECaACY0Rl70aJWEfrxeNsUBVU2xVtQ4F6lovBG+slLmJqqjSBCn9FdCOQOj6hFENiPlcbT65s78XkTpFgJJgpIMkFHSURFrD1ZC6knI5lj5la7Vap/KCuq15vz4/AKJQPatA4DKmVHKnwEKW5VGpiKLB1u6/NPB2DMlcvyfPQsJbYfKfbJP4aDBe5u+xmJC3pOtWBVVMsf5PVU9df1LfjHoXExJjkYeu3/vbUhEI3QRBYeUF5Mme9z8xkxDVC0CwP1FWqVOq0JMtk5rEJ3P+s9UWcVuArlGlHYhcts6l/pt/O646fRUNCXZfZcRuMg+6XZPGFhC7vJqXR6cJcjyIxIjKQlWY5CczMRqLtk/m84EeTbEYQZqTgIDJgEDo+oARD4T5XG5+EESujJaD5UhKFqp0gMkmb5Q66jCx+WlJsipdiTKHLiNhUTSqH91KLKPCSS9dh93raAS5opc8u6gTscujl3xkgFfXs2IKk/wxOpVm8o9hP34qiyrt6uUY0itdlu97t7JZrEuuO78cVVHfy4hYvu9d+0EEZeqTdup7ppSSd4xer7vNQ0ddyHK+71WPoTbRvQVTUq3X5MQjQpkf7ijQS1Rs0c/9InkjOX2TiVCzMchDt6UElIw1AqEbL7TVNy1R4ix5KytOb1U6wEW9Sk+d41ReiqpdofOJHLqTubZo02IlLkPipGojb377qhK6toTHRG5b/ze7O5/Y+YNHXqUTQjgSbSe6bjU9/fqvQoiuRdeFmaTt9t1yoCmlXGJdmILtzEtu26ld8M5vt3b5xebt36rHyPe9E6GRJX0vI4xlx+jUj8wxgM41aQv6rrrUq8y0SymIXFH7IgghsseoeG+Nqu9EYB36nj+GEqIwv96KFStK9zEy2BTn/gNP3m8o0dxHcKSxIAvdMrSPAHlCl1fYJ0ot14CJi0DoxhmUI3KZpL1eGS37V8lilY4AQGmVjhNpomLVuiLzmfd/hsjJIrNvNnhDr9BBjfPMqUUkzi8x5g9hnchcnsD56zKPtJYRu+y25aSurRZml7fmot+7FXaX+WLznjJUepzcNevWrnzBdXgTfOH+88XmzT66EbpejlHUrm59H8n5zW+jCtqVUXMK+q6khMoRIX+bsvNbppwWHmOE91anJMD5dknT7qqqm35m24lF/0kR5f4W/TaKvecS8I4J+rzborrE/nLfrGz/Hw9VL/jQTVwEQjceaDO1ZgMNetqPUekATcBcxUhTHqwMjoMppUcmKYvb0620VwGZyxO5IhJXpM51gsz1xUXomn0xn5C5VATe8v6/UJei23FG0o78m/mI9jGCbUaDkWT83xQYabDIaCbQwpqpBfVxu5oKux8oOIhVOY/hHI0YIQ/dxEUgdBMcfhmtouCDTFCEVeygy4M5A0aRX5PsQCo71Gktq8jgkzkhU784ITWRa1Po7P46ueR5Dznz37iNCscoJWo+eRsNGGNQngmqSt3QtmXdtskdo5ufk/3dnTNb/7UDGGMZUxoz56l0IjPH8Ak261BySpW0uciHzlcW/NqvcOpwsd+dPUbeMNepXTCZ7JPc/UIdyFjh+S1T2mxbOYf0r2EXFczV8JUycy6K1nP9NAqb/1vXWq6UrQhT9d4quu7+cQ856KCOx+0ZvtI/Bv50mUP16YVirIOoRmpy3dS1XAMmLgKhm6ggZkZ0WVzz1Iezw8o2LxQAIOX/n4ue9Uhc3vzb1p68Px9RIZnLq3IqR+TSaNbOpyBNq5JObGNdcdJOZr5TeSe44ube9yoF6q1pq8okDUMgLKktOkYbWTHtcr5wJeTT3z5iTAdFVCFBZnbzj9FpGzv5WKd7a9omxjoegwAgdwyGzm8CtjZp5pp0UWRYFKUvOT1cd79d+dk+f8xM3ysew/aDlNLnqsK95ZPTKvcWYyx7DbtuURHd1P1O61TZFtWIX68qaOl+gooE2Hs/5KGbkAiEbgTYpCakogHZ+qkV1Uc1ZtjCNCMF0bTtBK+bibVMoSsmcyJH5KqaWjMqXIU3Y7/2bH4ZCnwGO++MZRTBbiAT5dgLMhN6N18qM8n2En3oyFCP7cr0o9s1slHU3j3aiTi533ziV+E8M/TeD105pRo6KWbdjlF2Tbqpgb0cg6PH/jPW04tPUaTxqFCVjPUDI1D3eq0Ru6kwWSJdx8SHbgJdh8mMQOgmEohV8/XKJeRtG8AKyVyBObUqmSurBGEIpfWZs2TOmlyLyFya9LgYxfny2n/zfejyZK4tAjazXZGZsP2Ym3Jw9SeVkaoJ4zkZ9HrciTRpTaQJvR8Y1/5sSiLXCfl8nR0wUf08J1p7AiYHAqGbKPCcmRV1CGfoVkYrj25Ezv5fELUHGIWwQlkvac2rKo1oLSJz/lH8eb2raObWo8pkrooq1+m4nYjWWCEM5AEjxWQkc50Slnc8XFUfu4rkbqKqdhMRY5KHLphc+4JA6CYCnAJGjroos9wf8DoWs++EPJkrIHJlA6t2z2Ppl4LjqlzQgzWrlpG5Anev3PeUnBFl/b9szrz09yyRy5+NqopcN5SlFAiYvNicJu6+Of5vQqV3pGSuaNtKBK8o5VLhvgO5C5icCIRulBjNAOhHsGZInVLue9tAVUTkKphcCwfPokjXsn2WtD/zPZfbq1fkTaqWzGWWZX4vJnMjUeN6xWTxdwkImIgYDZkr219l1a6n/VYrKbYlYSx86IJC1x+MddBgT7jwwgsz5WqICHvttVfHba699lrstddeaDQa2G+//fCTn/wk87tSCueffz7mzJmDgYEBHHfccXjggQfGuCddkClIn1PdbAkvIoDx8g8xKBbpj/NlY237z8BX50zeOcordv66ldpPztwKpElcUeA317YbyvrH2WueV+Y40xUvyJP77Xp2OTeBCS5JcsGn3xgPk2xAfxAm6T6jRzI1NuSrIkksGu867ldlPmOJyXBf6nGX+vsZ705tJphQhA4A9tlnHzz11FPu8+tf/7p03dtuuw2nnHIK3vOe9+DOO+/EokWLsGjRItx1111unUsuuQRXXHEFrrrqKtx+++0YHBzEwoULMTQ0tIl6VIIcqct8LFEr+ni/+9GuftSrX62hJ9iow0wOsRLVruAYeXNraddzRM4SN03WNEnjJUSOs5TIWRKnCZ5H3nIDcKdPP7EpBvyAyYHJMDGXYVO1fVxJHUbj99f7WNLLupP53gkYX0w4k2sURZg9e3aldb/whS/g1a9+NT72sY8BAD71qU/hxhtvxJe+9CVcddVVUErh8ssvx7nnnouTTjoJAPDNb34Ts2bNwrJly/CWt7xlTPvSFRUHtPZi5QW7cmbH1AdPLzI56rrleyrNjp8v0J43s2ZVuU7I97bNZEpZckeeadWvN5vpr+/AN4KUK/koN6UUpBDu/LEutTORq5/ZrXamO4ZXO9TW5+wU4dp2jC45yfLHKKrPWbSNTUZc5Rj5dlU9RlHfqx5jzPoupa6XO9bn19bkJQLv8fx2q/lb1K4Rn9+OW5TAPl89ECVVlmJphOiZJHYK+OoRvbzMTWZT7kjSNFXZZ8DoMeEI3QMPPIC5c+ei0Whg/vz5WLJkCV70ohcVrrt8+XKcddZZmWULFy7EsmXLAAAPP/wwVq5cieOOO879PmPGDBxxxBFYvnz5qAldPx/KTqRN5jLw5ocNMguZJ30RTAoUr8qEXq8gYXDbsoI+5Wq32nQlfmPKhrN8Jvp80APQTuSsEpcncW7Q7BLM4UMVTTS5QdxeS0vmbH+kEKWF3cnU5/QrH9jvnSZ3f8IFAJkkeqIuCLywCYiLjtGtnmnmGFJ2zYGWKdJe4Rg+EbDf0SWfW77vQghEXYrH5/tepV5st777z64jWj30vcr5zftZ+ucX5phRl2NUvbfc/VtwfjuRusLzK2Vb/ssVK1aUtrM/8BM2ZdKil4ws+XX970X/T0xUmT+6VYpYv379mLfTB4O2kPQT/d7flooJReiOOOIILF26FHvuuSeeeuopXHTRRTj66KNx1113Ydq0aW3rr1y5ErNmzcosmzVrFlauXOl+t8vK1inD8PAwhoeH3fd8eZV+mNbKSJxfusePHk3XKyZHQimQR+wI1izqqXSlpXY6ZPD1ffPazKyqY8UHRrrtndQ4u7yIyDkSpySgSgI4OqEsUrjgzZy8lCtu/bLdOj/B9jV6KbpexVQzkgCTsnZRrtD6qPrRc6s6t6uX9TPfc0lx+2H0dpUTio5fUMAeI+iH/9ZWFEXd6zUZyb1SeIyi9Xp5cfU5VuXmEPKFC2UbWSvezkc2pXIPbR4HQlHVRcO/v/P/BxePAB8TitC95jWvcf/vv//+OOKII7Dzzjvje9/7Ht7znvds0rYsWbIEF110UeX1R6PU5YmcT+JcIt7cc+vePd0bW6pwSaV0JVfSpbn0eiI1b5iyYkoi/e7SphhYXzzmkTnvt25mCgZAGo7okzgUqHHoROSkzOXOy+bVa0Nbu7KpCjLRcGWkrsu1zNQpLUyL0mX7EkJQun7F9fwBvvAYpuRYfhuzAeArSF4/ys5Hp/m6LM1LabtK9lN2fova5Ca7PpA61oFsk1JgAER+eUmbSuu8lvTDbgfG2vJDdi39ZVW2iuNRVVPXiIhDj5tktUrlfe9FaRvhla+wWZ5A5RWzTihyp6h8jboodJsa2izfZ5NriHLtCyYUoctjq622wh577IEHH3yw8PfZs2dj1apVmWWrVq1yPnj276pVqzBnzpzMOgceeGDHY59zzjkZc+6aNWuw0047Fa470ocqY1b11KE8kStS6Xxodc48+O7B0KSObPUJMipdpi5sjtRl+mTInEfelInAtYQon3+urV2G1AHtiYHL/OMYFKAESNro24IyZSg3n2aaQSxVHb0+diJ1nHMIIdw1tWa3TqWcMgXnK/hSMcaghEj9r7r4OZGJBLOF3alC8Xh4NWntMbuSgShKfeig68d2ureJc5D3IsIYA5WQM7+ovfLM2t18wmD8uXwfr8JyeLl2qZx/W540+uoImePInP9gx2MQgXmKGLPltgomWVdaLIogk8SVcmNd+k5EIM4zfSfOO5ZLc/ei70MH/8UvR7Rz96+91/I4+OCDO7Y17Wzv/nD9TmHio2efujEI1ChDvwhd3no01rBRrv0En+Cm8cmCCRfl6mPdunV46KGHMmTMx/z583HzzTdnlt14442YP38+AGDevHmYPXt2Zp01a9bg9ttvd+uUoV6vY/r06ZlPP9GNzLk6qF45Leu3I7yP9v9RjvjZ9YQy5lBQJh1KWwQsY+1Rtnllzo+cdeSuMwFxplSTUsRPP8K9iFU/opUpAZIJSCaAFIBMv5NoAjJJP5kULOl3l4oFqK7qecuJCFEUIWIMMecdlZr0FDJEUQQex90Jij0nnINzjiiKKjkY22NEjCEy5KGTycY60LtjVKhTavvOOQePokrqDTP77+UY3BwjqnoMe35Nf6oooN36nr9/md/3UR6j4zUx90jl82uvu2kbuqg7+Xblj1EUncmJEHPu7q2xdlAn7zntmcz1nHJE9na8fPL1Ho/XC4K5NKDfmFAK3Uc/+lG89rWvxc4774wnn3wSF1xwATjnOOWUUwAA73jHO7DDDjtgyZIlAICPfOQjWLBgAT73uc/hhBNOwHe+8x3ccccduPrqqwEzuJ155pm4+OKLsfvuu2PevHk477zzMHfuXCxatGhUbe2X/4LvL+eTuTaCZ4+bO6Sw/miGvFmfNQblcsQR80yvpIxil1Xq2pDPlWfz45nflPJMxF6j7PGR848DcnnkyhQ5KTpWtGhDEYkwpmVVVoO2AjZF1NVIjlFoguxgeunXMfqNTdGu8TxGv69JETqNQeNy3SsQn0qEqh/H6ljmq6T6Ti/H24RK3kTD2ES59nV3WywmFKF7/PHHccopp+Cvf/0rZs6ciaOOOgq//e1vMXPmTADAY489lnkTPvLII3HNNdfg3HPPxSc+8QnsvvvuWLZsGfbdd1+3ztlnn43169fj9NNPx+rVq3HUUUfhhhtuQKPRGJc+osRnzidzFjJX3B4dTJsCAOV9TaQCZ2Ssjh1Mr0WwSpzLd0denjsd3arK2pN7OPPmVW595DLkTWllriD5sW5I8YDqFjNvkO2VxPVhcJ6sKQgCAjYVOpK5fqtglWu4plkAxmL/AQGbEqRGEkK3BWLNmjWYMWMGVq5a5cyvI3VK7UboitQ5n9B1SgGSSdLrqWGcUUqgpHDmSRQRJi+q1alzzJh7WGSi/HRUbZ6I5m+mIl85zoyjuCNwOTInEnN+C4IhcoEbyPv72eX5yhm+ulhUE3eU6OU+GAtTSyCUvWNzyPo/ocx2XUjZJiV0bQfvvZRhv/dffMzu90gVH7rZs2bhhRde6LtrUB7HH3885h68AK/427f1db8P3XUnvvLxv8eTTz7Z1/1uaZhQCt1kw1gO2HlTK/LBEmYZc9/JBSFY8ytpCyuYy0iSVekUUvNkBpkgiFwghCFzsszUk/veUZkzPnK6A5rQkUhJnj5gviSZP3h6SpyUWZUu15e2/4u+jxDjTeYCtlxMqNQVZSmRumGsyRyqqfajqgfbxwTFEx06LqnfJtfwQtoPBEI3gWEj6WTOtJkheV6qgjypc0lpQSBoX7q23HQFSQHalK1cIIUN4uhUpxWdyJxMUlXOKnPWvGrUQ3R4o7dENHuwXBm07InMktSi7QMCAkaPDqSutCrESIngGCCQuoDJjEDoJiAoF1yAgu8+ZElcg1S2cL0tz5WSG3JbQqt1+QCCnIkyzaqf7ts/jo8071yZz5xH5qx51ZC8NlNw28mpNmBmAjny5tfMemmizoCAgD5gIpK6XsaN0WALIHVjERTR7/1tqQiEboLBVVaw/0OrdCL3vdPQp5RW6Ti8Oqsm4pVbgmNVOZtQWKk2XzN4xMj3+1PuOO1VIvJkjiyHVCprZjVkzpG3fHRrEToNlJ46143MdUxKq9L0MAQvIWyHY/tloLqV1yrapkq6D+RysfV6jF632VyOgS34/KLixDuSY3TFSEkd+myC7YFcjZrMjREmlFnd5aHr/z4DRo9A6CYILFmD8W7LkzqyNMr8YTnTq4VUxQ+HVEapMyodKa++q14jXTlHgmxUa1VTqz8hMDsYFeR2ciZWPwCiiNCVDbR+zjyfzJkADp/c+SSuqOn2Z6EUlEjNvq7oesmbd74OKCoURM/XQFVKdc1fJ7xExFWOoZTK1A6tUnBeCpHxjexWcD5/jCrtyve9yjHy9Ul77ftIzi/jvCMZaus7EXi38zuCvo/2/CqTl64TqpzfIiW7K9HIq/4l6ULKfHjz21TGplLjRnHsXhGCngKqIBC6EaDfJVfI8DS/7qkmX8oRNBcjYAieMuWH8uj0ptNeRUFmy4HZ9XJkTpWQuW41XK0652qwWpXO+MxlyFtFda4tUIMxwKRWcWTOV+m8QA6gPZjDTtq2oISUhlab81NWDN2dq6JamFLqjP4lyLehW8H5fCF4mEm400QtcyRTKVVeq9epre3H6LnvHfpR1K6iovb5/fWj7/l2ZYhJwTGUlEAPx0CXa1i0zZic3zG6t1asWAHkIi5HDN9p1x6a8gPUGIFKjlnUnk3RnIrKW77Ul///+vXrx7SNeRCCyXWiIhC6UWI05I4ZMyi88cMnZDrIQZM6zkj/tSMOUYZcZSYr6q0ESOGbagUy5w9FHc9AmTpnCV4n5H3fLJljUZbMsSg1sbLI9Mu0X6bpYTK79stWeaRvtCaOrlt22bcqIR6dUOU+VF5UdNnxOu2/yrKy3zpWFlGq8P7ptT5mlW2qwrkVlCRy7rp9XuHq4Vx13G+3dUt+Lz0vo7y/8gRvxOPhKMmcNKUO+3KcTIRYjuyNE+9wZerGqX5rwORAIHTjAPIUt05vJmSqPZAp/cUJECBwKBcIIb0Rxuaiy+6j+H+9oMTPpYTMWeTJHErGOuYToyJ1zm3cXZ1LVcMsmXOJjxnPmFctkfNz+uXhV7CQSun26rPujpvpU4HZlYhApsaq228n1SVf+9XzWyrz7VMFJK+sYkTaN4LwJgF0qPNnCZXKEQbGWGfSZvruo6xUml1ma9Lm+17WLlZAYniHdtltpEc0qANp9NugvG0YY6UTp7I1VoXItMP2o5D45I5hr2Gn82v73u3e8l9A/HvL1v3tVPu2qIwYeX2vStrL/veO1Pa1ctmvCqTTjaMdVGi3O2uVUN7LrH+IosGt7Lc29Ea2eiVntlxbXrHblLDVfvq7z0BS+4FA6MYJPqnzl/nghpgQtN3VTgbCBkaQ5xfnbe8nF7ao/Px1cf7PJz6usu/SgbvId8Yu882+XrUKxSKAe6qcNbF6CY8tkXPJjosIhlE4GaVkVJdJY5rSGWJAZFhySR9s7UxpSF03PzXAFLU3k3snMpc/hjWPMcb0pOvOb3v/GBHITu6M6e9d2sUYy5joqhSo517x+Cp9t/usGhjgjmFMxpWPQQQlpet3qcnREhdT9F4ZYj+SvoMoq1rniagl5+Y+G9H5RZbgqByJ9O+tKte87d4y901+/wcdckjx9lXVxYLnp3BcGItI1/EIjKjsx9c7kckTujVr1oyggSPH2ES59nV3WywCoRtHtKlpBcl0iZiuxSrN25jMkjqYvHPwFBg/wtTmgitEaRRauanVIq/YjfqBbEubkotYtQocjzxlThM8xXgbkSuKwPVh6ZALRHE+f+kkWDhZlah0vs9RlSmuauSlf4xOpKRQFavgEF/1GJ226eUYGGHfeY/tYkQdfeCQVz03Qd8n8vkdaWTrSNwDUETmSl/6RmCLzfelhzJd+XZNxJx0PpmbSNGvAeOPQOgmCHwylykeDQDEnb8dmYL2CsXBEaXmK6va0MhzrhWZWvuCvOm3IDGwH82qfLXOpFTJk8+yUmRwatzYvRUGP5eALRF9Jxgj3Vcns2uPRKuKWbiU9PWZ1E2UcSWkLZm4CIRuHJEZ/FSuEL0ZlOwyX6mzfnRkBtF8AmIgq84VPiyjMG3kTZm++bIn2Hx4RWZWP5q1wMxqlTkhFZQJHBElPnP5KD+rxkmllbqe1YlKZYTazWIBo0Aohj4pMCJSV2h6HSUx7COp6wY7fo1XHrtNrdLRGPi8BR+6/iAQuj5hVA+VXx3B5myDjTRgIJlAsQgEZm58TepsBKxPpPxo2azp1VPnciqga0aHASlvvvRNsD5hsvnuuoIYoIQ7rgsk802ueTOrXcZrkCAImSVyRbVuvUY6JVMiPS+VUObrE4jF2KKK72W4BhMOhaSul0oQZWNprwnHKwRI9BMjKRs2UVS3gM0DYTTsA0ZM5jIpPFIyR0qCZOI+troCyQQMxmk7Uyc1LfHFqCKZK0jkS649alTjoDV5SltP1s8bZ02nQKZOrPKDHxg3xC1KyRyPAR47MteSCkIqJFJBGFInlPnfpFzLf3rRJIv8GUeK4OcyAlSe/Ed2fcIkOrYoPL9FuS4xhqS87BqHl4BRgRGBs/5+elXolixZgsMOOwzTpk3D9ttvj0WLFuH+++/vuM3SpUudv6j9NBqNUZ6NiYWg0I0XSlSfovJXBEApUxtCSRDjINVeXaLIrOiTOZJJeuw2ktGuOPmpL9xaKrOFObYhcaDKvhUqX0+WPMdvYprMWR85HjuylyhdzUEYIqdMGTTtR2f2XZBKwqqY0uZiK/M1pP6SuYBxQNVKIwEO3SLuu21TtP6IfeqKUgDAu45V1PEeyVw3Za1yipWATYJf/OIX+OAHP4jDDjsMSZLgE5/4BF71qlfhnnvuweDgYOl206dPzxC/vpS5m0AIhG6c4atzaZ62pH1FpTPP6XWYC5Lwq0ugzYfOkLlMndQyspJmtbOBGGVoi3j1pN58yibNnaw/nHKKHGxQa37fXvWHIn85oaBVOZklcqqkvi0z5mDtL9d5osq8JeaDU9oCNTZTkjBBzZmlfkpV2tiDeTyfAqjf67v2oIe2W4xxH6qiMPi75Jht+ew802umpmtbYFQJqUOF89CWPmBkJK5s3S2d3BH1P4ih1/3dcMMNme9Lly7F9ttvj9///vd4+ctfXrodEWH27NkjbeaERyB0I8CozTW+iTO3zP21yVetdVJJQ5Y00SJK2VOxD52nzBWYdNua5A5mND/FoEClfmadhjQbbND1LTnvVuPXZPUqQCjGkXj+cpbYyZxC13YYShW5bCWN9v/dEikhkxaUErrEDSMQy5Hb3EQgpczkSStKG+H7yrj6pJqJg/PuudX8mqY2F1u3bWxdzyp1XAFASaGPAVPeh6n2vhcdw6u20S1lht+Pju3yJ3gpkNhcbCRBvPOwZXOqSZNMWB+j4yaQUrcLtl0VrokQUpcII4ARA+MV+i4Sl/eQ8SrXUEGqtO+sS9+lVFC2NmuP9xYq5MfrpVBF5v3IV+s6kTr4hJeqHTR/MLds9ESubPtefZA3J7ARpBGqss/R4IUXXgAAbLPNNh3XW7duHXbeeWdIKXHwwQfj05/+NPbZZ59RHXsiIRC68UZeNTOVFJwiIQH4E4Vdx0tl4hLMmr95n7k2MleU5NMndQRn2vVJY6e8bpY45c2uOlmv9pUjkqmp1aommZwrLPthPFXmDKHzfeZSha44sW7eskq5kmiWCDtVkwCZJK7uqYICJMuc/vwk4SZD218/0WzZuTITrtI7gBCiY9H1fJF2WwO0apF2VeEYgD6n9l5UUJCSwDsQura+V0gW7BeCV0pBSImoLM8aMSgpIER6DKGUJjaMlU/YXrsUoPtO5ecrf36VTmrYtV6s67sChJIg1kPfK9Sk1f3wrrtSAHWu/+ofYyT3ljJ94txXpBRWrFjR+UU2PwgptMnvfpmwdlNsZ9LmBxxUiyrt0JD8kUdkGu6+38p7qkhmimq5klJYt2FDX9oxEZBPklyv11Gv1ztuI6XEmWeeiZe97GXYd999S9fbc8898fWvfx37778/XnjhBfzLv/wLjjzySNx9993Ycccd+9aH8UQgdKNEv3Iv9STj5xPbev8z74H3a6YWBkPk9udInSKn0jHSpbCER+yE190iU4uNOKWiiFc/gXDeFOarc9bUaoIcrCKXBkAgQ2aLzoUlcEVVM/xoYP+8KT/K2EyibsotmEDKCqgXwQ7CabqXwtXa0eUYhTVNS5blq1KQR670gvS6FPXC31bmSp5RhQL1be2yxeFZlkC4n9Fez06rT+3VDOx2EtRbVGXOwqf/Lz6/vsrqC0h2m07Eqa3dJaltMtckVz2lay1X76plXmZKtpOmH5kMSh3u3+wxCG1EzH0lO5gAyFVCUfa66v9ljhwpb8/upYy4d324aWe2n3Zd8vbBwCC9NmaK+Xmcz7WviJh6XU1rxloP4C41ZCs841XnD3+uGc/SX9QHRa1tn0RYu3YtZsyYkVl+wQUX4MILL+y47Qc/+EHcdddd+PWvf91xvfnz52P+/Pnu+5FHHomXvOQl+OpXv4pPfepTo+zBxEAgdOOEygTOlkrylaucMpV/V7TmWJ/AkfXNy5t0YaMaJMCiNACjR6forrBtVyKTpiS/jqsAQUynJlGpOieUSkmdnbxzOfiK3pttjVtL7ihXQSO7fpYM6LqW3nnPkwuPILkC2h0GO1vDs/ukmT1Gp/1VRkF9UkdQMjv1opA7HT/HBOy56PiSY7bx92nrrebbBHsu80S6pM6qW2bb1WsKiYyaW1J9w5qXAYjcdvkW+eehW+mxjst8/63ceWvvQ5Zk2dqfZW8PrlZu5px3bif5BKjDQKH7XtBG2z7zh/tf3D5V+q+/2FfrSr7nWg6e+UGmO8o7/CL/XbWtm29re9uL9tMZo1XoNjV0Ldf+7pMTMG3aNDzxxBOZ5d3UuTPOOAM/+tGP8Mtf/rJnlS2OYxx00EF48MEHR9TmiYgJReiWLFmCH/zgB7jvvvswMDCAI488Ep/97Gex5557lm6zdOlSvOtd78osq9frGBoact+VUrjgggvwr//6r1i9ejVe9rKX4Stf+Qp23333Me3PaJHJyZZZTsiNiR12UhAEIXMO/9IQR185U9Rmdu0G6QY47/D2zblog7z6kCv7hYIkxj4RKjIB598e8/5yZUqdWxZFUK2mI51kEhqjZOD1658qorT+awdwIghP3WKMaVNwyeDMdOMzEce8W2F3xiCMX5QytRc7Ek1bcF5a/04FxnnXGrOZgvPeMcq2Y5xnTHxdffsYS1U8c32pi58eY8ydK8rVfy0jQX5Re1IKvEKdVeYF4lCuBqqFPwEzziGFcMu7lfQi+7ttV4W6v4wxd37zfS/th+m7fz/m+3DwwQdnXBhG4tbWdr/6kfy9lgLLKH4FhLVtzEzNtR1NtXk/vgrouM8KLxWjJXSbupbrWGL69OmV1lNK4UMf+hCuu+46/PznP8e8efN6PpYQAn/84x9x/PHHj6ClExMTitCNVSjyJZdcgiuuuAL//u//jnnz5uG8887DwoULcc8990zYPDRt5MarmqBypa4Klan8YJn3z8unRbGhqjIBscikSUl/tyXHRMlA7pud4BUhbx9oyVVSJc/kmqkMQVqBkVJP5MLkkBPS/FUKQhbsNved+3n6Cv5Pza7ktmdEUHHNkVt/Ai2bxBjjjlqXKTvZtmUn8yqh84yxSgqgr1JxxjJkq9IxSshwp370cowqfc+fPsbaj9H5FLcfo800n9sBzwV0ZNpV5J5g+sH8duX22aZC5oqaZ9Q2b1P/0JxzKMba1i/stQkCoXw/upATRil5JI+xFaqHXjuLfFeRcV/I9qm05nA+IKzoYJ0aggKilwu0sKSrcpR0F5N9noCWRsRvhgnI8/dxf/bZ2/of/OAHcc011+D666/HtGnTsHLlSgDAjBkzMDAwAAB4xzvegR122AFLliwBACxevBgvfelLsdtuu2H16tW49NJL8eijj+K9731vX/synphQhG4sQpGVUrj88stx7rnn4qSTTgIAfPOb38SsWbOwbNkyvOUtb+lzL6ohHynlvhcECrgKCR7RscTK5n8DCvzV8j5zUnq56HynGaEDFhCl5ldHBHsfjMrKgJVFh2XgmZQtYdUKWPo3r8z5Ji8dgaW/+wSOlyRcRm4wUWR9tjyFsCTwAhk1MCWFVUwhI8l/1DVasdQE14t5PEsyqjRzJAXnfVRpm/Pe6qRKZvY7wn44clH25pKbyFFNhfGP4cUsFB+ibXkFouz7/FXpR9sRvEY5EqQKX2bKnoWi331y14nUtaHIstCxA1ZZ66E6RNf0J8VqXbcxbCQVIwJ6w1e+8hUAwDHHHJNZ/o1vfAPvfOc7AQCPPfZY5iXt+eefx2mnnYaVK1di6623xiGHHILbbrsNe++99yZu/dhhQhG6PPoRivzwww9j5cqVOO6449z6M2bMwBFHHIHly5ePitD1xSnVK4HVXpTeCxAglsnF5hegh8lH160tfoBEOzTZckqdNbuWJBj2MdpC92VvzZkkxsr+Nb5zLibXttGL7vXUOM4op9BRZrwnwxwzakruWGU9J7NOftIq72iFyamqyafHnGQjRZly1C+Uta+INOT91bttw6giqRttXrGKueLG6lp0MmWiAgFxm1VI3Ouf407dsc3zU9pUvgYFZK6sD4VtrkLq+km4ihTczZjU2XG0n+h1f92Dg4Cf//znme+XXXYZLrvssp7bNpkwYQldv0KRrRQ7a9aszHazZs1yvxVheHgYw8PD7vuY+in4ZkhvsR/tKYk7Zc6vXQovpQgp/abNQDqZr9uRVufa8t/5Jk9AEzhjatB577iXIgWF5lafdJX4QHfvfofBr9Njy4wqZhU3a2blRuS0ZE7/9VK5yPbJgcBMBGqWyJWlavHN3D6pK0VV0tDreqWpO6rtBhVMZ/4++zmOFx22CmEoWl7UrLxSVNj+EZKfzC4qmNh6UbjKUImgViBBbesWpQMp6EfZC07+GWHUTr4zLz6dVLoeyBzyY0cHIlpWaqxSwFEn82uR71++DZuZ2ZUwFibXMXhb3AIxYQndeIciL1myBBdddNGIt+8IM0BkzKym3oKCN+DkqiTIXJUEC6U0abGO+baCBLzBMKPOFfisEHR0KykJpXJVJSpAulJk7YER7hjecatOnFUec0JK2jgDYkbeMv2XpABJv+/ejEiWTOtkygCcClp4PFt5oiqpG60C1CO6EaWq8NWVTQ2/tZ1IddH6PooIReF6o7hG3fKi5RXfkaLr9ci/sHVYp3SZGZP8vmS8MzLtKWsnTDsLsoD4RLRCapkq16WbGlZE5qpYVsqSIVfF5qzSBUxMTMi7zYYi33rrraMORba+datWrcqst2rVqo4lQM455xy88MIL7vOXv/xlRH3phuxgkxar98lcIhVaQjkyp1W69CNNUlhZ4F+WR0adK/sUKFhF6Has4g77s0NONVTZHHmdzLhWnfMVOEvmOAExJ8SMEBHARAskWoD5S6IFkolephRgS6PZZlnfRC8Hns2Dl/r0qWr9L1CA/E9VlG7XZR/SVEyoCuV9qrdNpekx+gz/fPsfVLz/8n0pamLb+cwFDZXvXLbfwxVQ9RyrLuv21JeyPimVflB+P+Xvoawy335t8uvk9zFiV5Wq1wbFLiz5Y/vdz5+KEbezjy9w45GWpBts2pK+foJA1xdMKEKnlMIZZ5yB6667DrfccsuoQpHnzJkDAJg3bx5mz56Nm2++2a2zZs0a3H777RllL496vY7p06dnPn1FJrdZtjpCGZlrSYWWBFpSf9dVE5QX/QlXgUAZcqj8N8uiwd377lQ8bzkpWZyXKjegd0URecu3yezYHpOQC2Qw0VUur5zxm2OmmIYlcxEjRIzAlAAlw/ojmqBkCBDN9CMTTey8/HxSeaRZZYmynVjzE1W+92WDcNGEX1WB6HW7XokcCvpRZet8X/s5AeV9KHt5gZCqfZu281FEfsp+z6PTugXbdfPH7ASXuie3r45tq0RIs896ymiKK8qkx7ebq8Jnv4h0dyPVozFJtvvgUvtvOTKXJ25t+ywidUFtA+CPw/37BJNrfzChTK5jEYpMRDjzzDNx8cUXY/fdd3dpS+bOnYtFixaNY28NfB82b5kiytQtbUm4FB5+gAIpm25E196UinTiz7bZOTvh5AmBT/zSurHdUYXMEXkd7KAYkEy036DSpg4b5MBIeYmBdZ+t31xGobNkjpAqcjLRxE0kWTOyJbxcemRam72FVGhKZcxDZPwSdQWCvGroTK8FJdg6+QEpKbwEvv5JyPlj5bdxq/Hupia/TV7yXt9klycHwmNAPNfZsrxi+ZQi3YKFbGk1uDx26W+2nJ2/rvT9GlU2ahl5v9OcqkdE7roVtYi8F4lMdYi2XGztEdrKU7K75cazbet0fu118ftv+2L9Vzkrqa/sK8weW3Ht6nBf6QMJKOh7khgv9XUYkSpvD1tk+iYvhRGQTQpd1M7c8jZzahH5KjGzdiLGeZ/LbJWGXP3ZTexSERBQhglF6MYqFPnss8/G+vXrcfrpp2P16tU46qijcMMNN/Q1B12+WkDZ9yKQlyrAOeZLq8rBU+LaCR0nExHBAA4v/xuorSKDfeumvFk1n1Q45wWnPKVDmpxwyJE5VVDHFd5ka9W/fE48s1dXEUP78DGtnPE4TTGiOasOwDWTPje1M7kxvToylwzrfoomKGlqk6pfJQNw6iXZAZoYoGIoBSRCQAh9zjnjuq5lyeUjKEhh6meayZYYQ3vmM+98SqETC5tzzkDFtUm9yUKIJE18a64Qdamz6ifwdXnTqJ1EuMhhKV1f9Ft4eQ1QW+bLrx1qk9R2zJMnpU54bI+fKwavT2PqB6pVUgEpU/8xvT65c+ETIXJ9T9I6xJyDdUptr3RdVuGfXyKQiS53q/kRjOZ5VNY9QClw3lnFUVJCJF5S5YiDGCu9Jkrpe8tdd8bAymrSWr9cKSCEcHcfL6or7NooASkghXA1Y4mUPoZdVSkoczf7vnFA6opA3jKf8Pmk2y7nlCVJsC+l9mWLSFspPDcI/xq05XvLE6qigBT70uARtKIa2Mgo8MoRbvcO6LUhX1e26PyWJYaf7CAqCcgZ5T4DRo8JRejGKhSZiLB48WIsXrx41G0sQj6BaNlv3ba3g45UqcnPmlq1/1xa/sq9PTJN3pjxq+PkOel3PbDZiZTaZlkwOJUpQI7gme9Fa/mKTZGfXmYwFBKKR1pN896IM2ZXW/zdRPJaUytnhJhbZa4JsubUpKmVOmtWzZNYFml1gJhO3ipaAKtlVDghZaZQedE5VFZNNP1UUE4ZKRrwhRVQjKIglY4cKxrVCMyYT8lNKQqa8HciKSqvJimVTki5wzCYgBopTWCLIUhSIIritm18ZS5P6rvVchU5/0wpZabChN2UISWa5Af5GHrBvTQ1fj/0+gL6LjHtlBJglmx6B7f1apUm735ZMnd+iwgCAGkT52TIJHXMS2f76n+POC+czBhIrw+vVJy911yi4YLza+ukmnAdoUyrCtqk15L6PNtUQeYv81xCGBT+984VrvdkyJ9iHACBlGgLu3UqllmuiLvt7dEz9VMp/VmYHjAQJNrrNXNvuXmPyryYODpKnlrsSFlKErPuAdl2aZ9QUZyMOL9JGSqSlE5uCkX1W/3/FRHWr19f7UABmz0mFKGbbOhXYeR8SgOrsqVO+Db4Ia1pCgBMEYQRt6RV5brllvCjPJGSuioRWVJlN60C5tlbKU/m8m/WUqbM0JAjrRJps6tw5k1dR5NsqS07diqtODj1z/xPMgGEaDfxIklz/UkbcKCJsI3Y9UdtSyp8vz57TvJmZeo62OdNeiWmtIJ1UeHeK7pGmgy0K8eUK3KQRkibvwVkrh8gj7BlVBJratd01iuF7ptbUzKXRiKm5lufmFbLkUiehEOlL2nuvIGZoqYyZSQdzk1q7i7O29h2Xo1vkfT6otXqCue/wCzZRjSd+kVtgVlF7houITm0eRaAI3a2TcrQaL2QZ45DzCPMRlm2hERCZUoZSmneM5FWhLHnTQFIoDLPHlhqPrXb2Z0xj/iQtRC4cy6zRNSNhbnTad+0zeuEOw0FZBP+tVYFPgGbAcgnzX1Cv/e3pSIQunFEnsjB87Ox6pxQWqGzwQ/Cc3ZXpN9WhVLub2zNrkUHs4NZPoq1yyQtPSXG/yt9ka9DupLU4do3+eYIFqm0WgVpokUyAUU89ZdjWjkhInCodnUuaWmFrjWkTTZFJlcpjElHEzlHBI1Kx8AQ8xokJEjqScqlPrFN9apNRIxBQnkqpCqp6ektY3bWYp56UDCRmklSj6DcJXqG9Y3KET03cREQcQZhZkM7X3HyiIOdaA2D5gQoRk71AADGvNx9BShS4rrVGiWrCHvf8+WpyKiXBN0PmHvemiY5ZzrBT+4+JqXV1piRJv8537zCZhGDIgWwKPPUENdBSSr3MCmQMXU7u6F3EF6shNlqJaYUm3sxYFTYD9sXTqSviUcAOWtX9JxyQwzgMSASTaisWZAV1OQlbqrAkOZ/XmMzfbfbmz4LwJwrMwnnTJjcaaOUTf5t1TKWVcuYFCDipg/2fk1VtJhrok0igS19CFhilpIxqwBatVCxSF8rcwHJvPBKFnlinG6XbStjWQUsbWee4Wky2KUSLzIstQO6uePk67f6/49VdHk39N1EGvhcXxAI3SgwmkoRRaocvPQjLiDCI3VKAcOJdApdzBjAATJKHTfEyr1hFk0uPrlC+XpuuRnt7dux9PzociKfMbllvc+JkOZ/yytnvkrn+7RZMygxkBTgxCGZPifMzKHSmlxt9QdpUpH4Zlb7fzIMlbScsgAAiGqgSE85xFKHbE4myphzbYUGOQKHHJlzQRtgkCLRug2ZbILpbNh2ThkjSMadXxgYtUVB+ncVs5Osm/B0IXi3biZIRv+vfcDIEXCn7uRUCv8+4LZ+rjHzMU+FKbpXrM+c86FjzPlCloETQZptnCm1KO2H+Z9Dq7PSM20zVUyC0mPYQCPTdx4ZBdUzD/vPLY90QJGULujCml2Rm4/JLdC+XkppM672gcxO/fmJNmK2PrE2vXIl9bMBtKnHjtASQaq0rjAr6Yeb6BmDQpxed6Y1TlkQzcCIABaBahzK67s0frluCwXsd9AhLkCjKDCi6L6Fr/YW1E/Wz0k+bVF7JZv8OJE5X9YkWpD+SbF0erPnR8is75wq8A1MDdZpWyn3MlRaf9a1obof3WgJ3ZgmvQ+YVAiEbhQYLZkryu3k5z6zqUh0vjmdvqQlpVeYXkdlEll1jDpXa+gUjeWbO5EdgGwrrfk3ranqmSPRHkbozEoeebNKWVuQgpKaxNkBVZpABSKn0ilKVTrmqTtExgwktBrn0pGIFlRzI5A0oVo5QieEVu5qAJR5DFikHcIZB48YJI8zE4A7NW2DvEJkG9gJRpFTsMET6b79iSV//oQ1SVrFxTOLUb4+pndO20x0eXKWA/OvGZRe4kX2ZfZv/asY6+k50CZTq26VEDn/uVDSBYG4ZgnR5puYNRsqvb47jjDl3XIpLPLPITGj2BRXRcmDed7h0kibRfWBbT+Zkub8GtlPqXb1xgUn6WvFnNuCMLZFWUgS0r44SVB/93/MIVPOj1iarLwkqbZU2bEg02z/pcI3VzsTnWqLEtduBiybNsW/H/y/eULnnS8yhK6N2KlUBbfjVf4589st3DOVNlKbdpUZ33IVLvLuK9mzlU3SrHqvFjERc9DBlVns8z77u7stFoHQTQAoR5ay/nNWnRNKkzn716IlAE5aFUsJllVlPDOWXyFByuwbphMcCgwInlLht0vmVEWLIrNrhmhIY5L0SZ1/HnyFTiR6IGSRrvIApsmcUGnEqy37ZUyqJBKn0kEKIBnWZG54CCppZdN+SOFUHopiPdiKZuYvA0As0gqHT159MucrjQV+UP5Anp9YkMvplYdQ7WZNHfmZevLYBMvZc16gHpRNDp0UBiUcMXDcvMD3r2/wFJq2XIWdkE8p0qaOGN+ogvbnJ/mekhZnlGhKJ3//nBTdH0VENn8e2o7FMv2AI0vM3Z/ZF69qZKBbTsWidd058rfzXjDsF5vqx7XV2I7teeJObSpQjAuj4XNHzanBVDCWFZG5TjnyCJaY26O1tzd7wsprY1tStzkiRLlOTARCNwKMxtRaBRI+uUuJnSV1vlO16DJw91JVwK3mJTpWKkvkrDqXf9PVkYcl56SN+HiBCn5bSabmVn89xsEY9xyftXO1dZbPpkJJnM+cSlpQw0OQTe1Tp1otvT3nKbljTK9vEjqDJUDSzLzxa9Uuq4oVkrm289ueF6vTxFJ67nKpIizJ89UD6wtYRh6KUEgolJ++xrsXCianTHR2ft+9Ph5FZM5EJnctzO5P7H4+RU/J0i8HyJA6G01u7+8i9amTEuGreHpMMApyfvIvI6qdzkUOWRVKpVVl7CbePVVKVPxD5PpamQDa7X1FsGDHjEzgUi6HY1l6o7Jrj7zJFZ5KJ6S7rpnlufWk95z517rTc5dXFrlNj+dWKDAL2582UxIXMPERCN04wx9T/Mz20vsuZJr53yp3YOmgaJU5i7yqkykX5eeCQzffDpYe05pZkU2dkq6bzVeX3VGWyPlRp5mBkEWpMkdM/88iY1YxUY822tVJ/5QqkFapkwkgWlCtpvadS/T/1uSoJHcVOYhxPXhL4cy1ULWUTBJB8Zo5ryV9szmz8n49SmbVAm8isQlmi05Xxlpn/ubJg418LCyZo3K+SZ1Qpo4g9eNyekuJQIGChLGqS7B1GfwJPZMMusjHjIxJLfNTgYJDDMQivR7T/VPgTnUWKkew7eYlKmkR+XHrSGXqKnvPnSUr1s2g6JoUJf7Np9kx+RK1b1hRzdW0L0XwyalP5Hx/2Gyf2pfliVyRWuefN2aMxdwQI7IBOMgRpAJlOavS+oNNVjlWEmnaJWKZHbv3GrSTOdv3zDmy5wdpFDv3atIqPwq2hKR3e2YmO7ShvL8d2wxP07ggELpRYqzVOjsg2QhXSwSEVE6hKWxXXrkqUwfyvh2kHduVr9D5SqHMEjw4xcqmLMilTsmb/ZzpNedHZ6JaFYuMKhc5lQ7Ggd4GKGSiESk3sJp9K6n/V1JAGX85l9lfSlBksuNLAUoAlbRAUV1va/eTsx9nzEru/OaSJZs+k3HIViod1H1CXqYQ+AXNLUonaBTce/lrXaRs5P3h/L8FufqcqqXSqhq+KSttp1UTy5+HTMLtsiz73nVsSwptzamG1FijXlslB2Xq4Xl5xIhFUN5F9cuDuRcWT2FyiayVlwuuQKUC4O59FEV723u9QHFU5nlrOw/51D62Lzxyvqb2SNKrOyxVu2pv/U2tsu+TMZ/Mytz6TvjKkaM8GcyfC2nWZ0aNs/tgZqzsmFqpyMxapn7bE+Pdm0Xpl5R3rd0LlfUNzT1bwmtrXlXsaIUog5KFpv6AgLFAIHTjjCw96R22Fp79nygbjJBROGRuou80yJhJW3q1TE2igPbJz/muIPXf83flT9CWBBkVLYVOJ0J20jekLkNIvcoIbTRAem/yTm1LP8pG1wIuEz0M6QPL5cwypc9UCXlxJk7/HCfNdDJhTLc/U2XA5OAyJlchsxMoCpRVlCgJWvWwxMiYtShHMK1/YoGylfnfJ6EiG6iiU8jIdiJoT3OBH2XV6c4RO6SBMDYQAD5ZlolOFG3N85y7yh7p9cmpWxkCIJwK69Qbvx3mfk5ENg2PUsZ8Stnro7wXGf8acs0CTIJbr9h4/vzadD024Acmp13ueqRKpVcxgUXmhcuQBP9aGVKXSOXuGefXZwiKrXyQyeGWeZ6VuzaWoLoUK4aoFb0/Zp4NL2DHHtcF8ZjjUqcUR5nrnzNVIxec41VryKdRV9745V/r/Muor8w6V4YSVbEUBS/KmzOJ82Ju+rrPgNEjELoJBNZDhJ2tX2pB3sBrozD93G+FflVF6pz1zTGDsFJpYIYw1SqUMQNbSABENvdUWXCETD9GccmQLECrZnbSLXpTzyFv9s1DdYnqLN3OkjJj3vIVNauKkl9T01WiEKaEGNdVLyhbSs03t9ravDpFBlykcn5cs+WvlKekEBFi1kEZ9s4dGWKpiGmzlN9HR6R8hU44YkqArqCRU/lsjq68L6BN+ouMiulNqEU+dybSUVkfSo+skdLpZ2DyC+ptayYvWmSCdtJUKUqa/pgUNmm/rFoaZQmrU0yh0wJ51zhipFOm5GquSpNAOI1GtyRIn01e8FJDSurccCY3on3uFK95uTEid35hz79VJw05J6Uz7irJ0vVzRMXmsLSl0yJm0s+Y+9VPbJyqc3BpkQCAM4XIi9a14wxTCt2eKGt6t76dltTBJEnmbr0CklTyzDty56fMUWmWO8XaSR5yiqK9R4vInHuxsrV/vfsz8l0hO5mJxxFjaSEqAo1FlGsgdH1BIHQTEMxLIZFJl0Xk8rHBkDbuZdW3CUzTXGipKpcNHPCUKvObb4qyZrXUadzz/zLZ2yW8CQDkCIdFqS+dZ0pzH/tzYkzFhhTBDNrp4G2DMlQbKUj9pSqODIwbkyJz/nS2FJTusy5XlHgKJWzyCEdajCdJkkC2mppIEAPFDXMOC6IVzf4TISCMv1XM0xxjtgoFPMIBm2xaSp2yhZk6qx38FUkkaY1OIjAeA9xTeaxi6AUPKKVNz1BCp4OJ6mlZuBysmS8RUudJM0mW/XJkmQhnU2pJQm9jzW6MSCcPtolh7fp+6bTWRrQ2DkExhmgKTwMEWAREtXQSZxIqaWoiKlqQiS4jR7FM1d786TIvK4lQSEwuNsYAHuvcddz4qvomV2v1F1KiJSSkAmLOwI2LQhstt89f0oRsDWlSHkX6DYbH2r3AI2juWRWAkglUc1irlVGUIXLwlV/rFqGAoUTXseWMwMFAEXPJsZl5cXD3ldL3VSsxJcDAUDPrM6bHnNgk8G4KoJWk5d24YYfC3NPMkD9uyGJLKtS4l1rIBXFZsmxK5dkE34kmvv4LhU45I1PF3l5HWyIwariXL/cCpSQU4xBSOXVNgCCEzLyIwrx8JuZk1DlzhNcSP07pmKJX07Vu8y8+hVYPJYuzBwQEjBECoZsAcG/OSPMc+b5i3IgrlvvYgRkuQacldVlCkCFyReW2bNWELpAqncB1YERqomGmdA8pcsSvDRn/MqNoGHVO+QXkC9rik7m23Rpi0bYV4wBaqaktv08vKpIMsSPjNyhMGghFHBKERAj9f25H1oRn/ZBIKZBUUEyBFfjfZU+HdElspVSQBETG3OwnMQZ5tjGvQL2UCkISog7Xzk5K9n5KpAQH5VTY1DcLSsIWctL90CqcO1NGDbPmZwVdi1RKkSqXQgBMJzR2lTPSTuuXBJkWm5fmONzWWPVMqI60AUjAYWOaEzDdDxYBPEoJKmB8L5m+T+3tBs02GO+spEibq04pE+Ej7ZFShY5SAiNNtQJlToaSIlNvtwjC7hvKtY8xQ0y9a6mFOKYVb7dPBSiWqX5R2A8pNHFWVipPS9nZkmkwPn9aVdT9cEmnSQAqJWHMEME/3rkCTQmsb0l3TjgRWjKbG7PONdEbEhKJUKhzXe2BE0GkoQKocUINuqqDZLq+DRteq1MOEaXlwUz6IRItqKgGFQ/o9EStjfpcxQNQcT3rF0oMIh7EsFCIuX4UBYANiSbu7poSIITCsDGJTIlTQjckJCIi1DghZqTdHI2aW48IvKnrpyri+tzJJLXXu3uXzIuiLa9WfG+UKWyZqhU5f20/sfC6DRs63xR9Rue7fOT7DBg9AqEbB1hrKHNvfukondYJTQvTWz85RkDM9MTAiRzR8wdeu00moi7jR5cGBxSVqPInVevrZUmLLT+mFFw+PAGFmJNT76RRtwqf0JxpTwcrZAmmkjzrc+dv7vnyCakgTamqDBGwfbITpItm1dMJGUWO4hooqgFRDIprRinhkKwGFdeh4gEMJRItoVKTjjWLG9M4cQJnUUpAzHo2mDJzWr00K7aiBCxZJ/3dTnzW5d3Wd7UBMJylcwbz9uHXy4VHhNzESAQVxZAsAvHYlXXSc08ECENgKQFjiRfRx8B41JbGJr0e7VUDbAUIqPZ0IwrZVC1KKUipyaa7x20QBgDwBIrVgCgB1a10VoOIYrDagJ7MeS2d5KQAsQgikaBIgqwbIeepguOb7SxpUdKYJXVwT2xUuRon1GyZMUMUOLeBGBIJAyJJkKRgDceulJk7iFG7wfTkzxigCIrHUCwGRQ2oqJ4ptcW40lUopIBKYhATLrJTmjQ6bX1xymGqSnEGRKRMXxiYEtqPDwBjERjXKpZggFT+S6IEJ+4qscSQ4BtXoxE3wOsNREqAWhsAIaCihiaBEYPiMai5HjQ8DNmYBtlogLfWg5ImFI+g4gGtJjJD0BPdlmEVQSpgSn0qKBZosQjNBIiYFu2oDjQ4IVEK65oStTphcFA3dqPmhIjN4x4RgcmWq7MaKQEaXgfGY0ytDYIiCZYM62shhgElIKdM16rhxtVa3atNwdSBATBhk5FzIBEAjzBMOn0S4zWACC0yz1JuJnWW9IKE63mUJRDOBBDZ8SD3/6Y2t8J36ennPoMTXV8QCN04gTwHY+dz4opwK0PSrLnHRFdxnUwY0JN/zJhex5hGUhORSeUhPSdsa4rw/Nacpw+LUp8xz9lcGEdx3+wqofPhSWOq4kRoCT2gKZWaJoqCIzImXxeU4JlcBTOTV1GSXlvOybbDEgryCJVxmGeRJnBRDEpa2pEetbSYeGyInCFzFMWaGMQNKF6HigYwLBSGE2l83QwBNk3hjBCb5tVZDNQGtNAlNBklHgPWh458MuhdK54GssSmHm1MMJNMqtISi0ARAySBq9TsxzlpPy9KTYDKpPJQLDKEwcxyxKF4DMQDSEAQQmX83mJeB7iCkgrSBozA5OvjmuwqFjnfOZcP0HMWt6pHlHmZ8K6hIaek0vsdHilUWrfSohKPvbxrmmyiNkUT7qgBFsWQjeloKWMCtEo2EWpRA6jrfhCP3V2u4liT14xvmH5BklyzdEs/Y0ZoRAwNTqBkKOOPR7yGBo8RGRNyRAqJUTL1M+n5A1lizSJQXNPltRzBrgHxAEQ8RddqbqVKNCcgYjXw2lRIxUA8NhHg+kVE8Zq719MxxJhHOQNnEgz6nqpzQj0isGRI++9ZfzxiIF7DFF4DxRwRk0hk2u6Yaf87IkILBDEwAyQFItECtTZoFbA2CMVjsI2rgdZGoDENiuvnjJIh8GRIE0jGNfkmBj70AhTjaNWnQUZ1REqgzmxiZIYWETY0lXsmhFJY3xJIpK7RW+MEAmGjABKlIITCYI0hJoWNgjCkJKbGMSLRAue6bquqDepzpyT4huc1qZyyFRQ1wDasBl//nH6JYxxgNV2/ubkeNLwBqtZAK6qDMw7WXI96PIAEHAmLUp86QsY6QfaFj/R4yZT3kBRA5StQBASMEIHQjSP8dAA+qeMmKaedrPVAbRdap2byFB1yNU259Z+TIq2cIFKnfffpYmpVpj3WtGrVOWFMLGmyToWYMShFmeSscGWI7A4NCTCkMk0l4ldv4BmCl7YlTRAq/Tq3jLSCGGsneT/5KvEYxDkQxTo1CXSEJAAgisFqDVC9Aao1DJmrQ0V1UG0QCYsx3JIYFkBLIUNMiACubM1dBsWBmNfB61xXmFBCq1q2ULuXvoURQ40TWI2nQZuMwJXQdT2bJgjAS9FhJ94BRhBGxVFKgXGuFVnKBR6Y80BkykRBE10BQmKd/zMpKhQSo+zyqA4WGeKrlK4fy3ka5ZuT4zhnULAmPa1QMWmSNxdUAQEp7WdmoieFSlViYUyZjLRPExED53XwwQZUPKTvJcaRGOLaamqynXht4gREXCGmGngtQlSbAkihCZaJjnXBICbqkxlfsIQDyiihEQGRaoFtXJNWHbHXn3GoqIaYOIjFqNdrJmiGwDlzSqMTTUkrV2AcRDGE8auSLNJ+Zk2BlsymGmEAIk6IKUJUnwZem+J8xlgUu3vLEmxLpomAiDikMOQaEky2wIdbuh+ilV4X44NIcR0DFKEW1ZEgVbWtmVkaNX73/Q7WPxnBSShgXVMgkdpUGTNtjm1K/ZJXs2MT6WvblAo1RpjR4OBE2Jho0+2UiECtjW3tYkNrwIZegOI1yNqgHsdaG41/ZaSfWR5rd4nmRpCSkFO2hqhPdcqa4jFaYBhK9PhlTb0tCaxtaleBgYiBM6AplAt+IgCNiGEg0usOJxL1iGFanK38YiP1bcCOd5OkPp7GBNtWlizzbIzO5PrC2rWF248VxiTKtb+722IRCN0EgH04OGmCQlbJUQB35jbrVQwzUFKq+LA0wlBHt4qcydU4H5sC9UqI9AHKm11ZalpLo+esqTNV56zJlRnzcEvogTyNHOv+iCqv/Jat2ADE2XVcGSdyAREufYpUUFyfM8Z0ZClZfyQltcO8EJqgGBMWMa5LfUWxJnNRQ0/2UQOqNgVUnwLRkkigkAAQilwQioU1ZwklIRShzoAajxFHNROprNrMja6WLYAaAEVCE7MkAclWGpHqp6mwCZbZEIhH4CyGNLVmdTSnyNb1tKkaFAdYDCmli3q0JnMbzeinmSBSLppTvxRwE3jBbDFQs67XH6Pu1aPI+Grq88x8J/bMPa4jMxmLEDEG4lxnj8nlB0tcKpDU3wqI9fJEn28BqVUtjwhZP1Kr4ui/HMQi1CJdpzRfso2Ze48riRoUFAQgErDWMEjqiTpP6GAIHYiBeB0yihFFDXNNuKa3WpZLo3rBtck11hHTiZRoCRhCmvbFHYIAnhAipvsTM46IcXDGIO1FUOmEn+mXvjE00WgNg4nhNPVL0spEjCoWQbViMF4D43VEkVUxYx2pzSJIL2GycFVrskXuN7R04+1LXwKFxBA7f+IXSpO+2L5AON9Ecw+bPH1MJqBkWP/UGgIXzayaTy0Qb2b8JxWLgNaQvmeNm4ViHCKRTo1uSaApZFofWymsa3kWAl9hSyRaklxOPqUUhqW+FgzKRCvb9EtJe25BblwHWJTmSvT7mhkbRm46HQ+Ta8DERSB0I0CnN6pOfg9V4EeOOROqDnjLOGbZCFf3MZFoDMpLYupVTrD52IzfmrJqg0ypV0oOqK1CRJoSIS1BBhe1xsBJmWAJcvm8VC7GnzImV28AtAqaVQ3zKp0hmL7/nJBwEb+KG0dkGy3IIxMVGGdMu2TJYhSD6gNAVIeKYsC87auors14yhA5BbSk9Equ6T7HjDmTt1BaKUwUocZhIgIZOON6kvWrSHj/W+UUXmoKsuWO/MAY4zRPpm+WuMLlJNMEVgEuss+fcHVKDk2UsoTOnX0XTW0VXhvZqU136cuC8qOoLYmQAqRy/cjls8sk97UEhGu1zS+FltjE1ci230ZWC6XQNNGYQ+ZvS9prYk2MHLVIk7qa0M9FS2kSETGj4tmcfVaxsvV/lZ6oqTUEEi0gGYZqDqW+noyB4hpYFAM8BvEaWFyH4kNQUV3fd9YcapIY20hx2zd9LbQi1BTK3V9+YAFn+h6rRwyRR1AjpsCZartORHCqlCZuTVAyrM3FLU3oVGsYanijfqmzzxpjoPoAKK6Dorp2OWA68lZFNSBqgPFYq6oE92LQcn1Jr4v1q/VfFGKeRuDb4GcyPm+1fM4SL0+fvQaZpNJ5319jltftteOGVskValBR5JKgS3MfJabN9q//YiNMMLf1DRPMPsval49Dv9hpC4iXS9NPWaTStDtQUmfLIVYp0nW8/OFGAirwEe7HPgNGj54J3cMPP4xf/epXePTRR7FhwwbMnDkTBx10EObPn49GozE2rZzAyBO2PHmrROa8yY/g+cUpbRKz/5NKs5zaQZKbScoO8il5kx5B0OpcWxBCwfHdIpciJI1qtSXIhGf6tLUrhbdulsV1ePRNJYe0GUIravn1nPk3rSPrTMDW7Goy6OuJKgK4BGTkSJ0ShlBwDkQ1UFzXJhtruokbkFEdrZY0KSz0BDCUSONL5weuSEPqJKbEHMJT6wTX/nWWPHDGQSI3ARjVh0RTL7PKibl2mYmLcUfmEMX6fFq/Nu4HEDCXtsKfsPwJLBFwhNz3gWTeC4F+OVAmXQU5NdLWKfXzctk8aSSMqVgkbSpjetKizCRHlICxWPsZ2cAbN+Ea0qAUmokmO8OJ1EEqUqEl9F+plDMDR5w537cpMXcfznREsOAMjQhgrl6eaXtryJEfSAlKhqGGN0BuXK9rANuycdAkiDgH1Rra/7LeAGsManU3bmq1N5YmlUbknqNEKkfg7GcokdjQEhgW0pFTqwRzps99PWJoRAx1ztGImAnSMMSUaaWXcTP+GL81ag1pE2ZrGNRcD7lxPVTSgmwOQQ0P6TrFFlFN96HWAA0MgtWnaCIa1wE5xYwLUxBFdQhjQ5YZlU73TT8f0o0PFjEn4yOqX4Bgg7wACJMjz40/HsEuJdTW95dxUGzM2LWGzk2I1FwLU6pPGVXQtlMTaJVps7U0FLVZRITY+L8xY0FJ34NkGwmF55Oso6uTNAF2QS3ktmGuZK6YaEERAPU9iCEERWi8//3vx+LFizFz5swRbV+Z0H3729/GF77wBdxxxx2YNWsW5s6di4GBATz33HN46KGH0Gg08La3vQ0f//jHsfPOO4+oMVscfCKnUkMTI5M3yr6FK7jgCFtXJ835RO5NnREZE2OSebOFjdbKBSEU+tJ5vh7SFpN3aUssGQBaVk6QabJdvW57TrpC5FQ4bQ4tKK5tk8Z6SXm1L59+i9aTC+mUL1adEyZXFRMgLkE1AEaZIKOuKF7TaRCiuo7A49qs1zSkomUGfUskhoXMTbgSMWdoCYUpMYdS2QhQgiZBLhrM5s5KmiDR0gTCJMxVSUtHNA4PZfwKyUboxto8TLKuFYAogVINl4DWXS+VEqNE6Ek3P4kNmYnMvz7M89PMqI9cO6dHZiVyqqtV56zammR9tOxk55mOdYqPKJ14jZ+jux1sfj6jXulzLrChJVPyk0gMJ8Ipp9aXkjP9DDQ4Qz3imFrT2wjj34manlA5089VFDGXF46SYVBzA6il1Su5fg3k0Hqojes1mfAInXsZsAE1A4Ngw0OgwekpgSWTUkXFkGCOpDaFwpCQGE4U1jUTbGjpPtl+CY+cMpZeB01MJabEDFNrESQINaWJBiejOVvF15K55kZgeL3uy4a1uqbx0Pp2tdGQU1VrgIYGwaZMB8Ux2MC0tDKJUYAZ2eTMacR7IpVrvyXalh9xAlhi7ymFhjL+oOZes0FN9uUv9fPVLwiquVEriuYauPHLvuQksX4+pAA1bDLwdNxTXnCWTYyur0N6P7WEyryowSi9nBHqXPvIImbaFYbSICxQ1trgXsxM+5RxrQDjaflC4oVlyQICLJ555hlcffXVOPnkk/GKV7xiRPuoROgOOugg1Go1vPOd78R//dd/Yaeddsr8Pjw8jOXLl+M73/kODj30UFx55ZU4+eSTR9SgLQZ5MudFUmpSx8FMygEyKolJu+4iq2zKEpc01KZXsAONTEqDEPQwGhcGISCXGFh6Pid+NnrTEUhFbQk78/vI/iDa/+8UpEEs9bOy6VFgMuIbU4hQCpx56SlYpNNeGBLhctxZ3yEb2WrMZGXqnBv8PUWIMfsWLyFiblQJUzCd0sTQkVEvub3GUmbJXMtMWMOGOCTaV8jm5iNuzGJRDdRqgeotTUh9HzuRmBqlGhmzmPnbFLoPvtooTH9sUADMZJaqQkDN00qZi2j1XArsPWbJnJ3YhMje38S0YmpzCprrQ1JonyeXksZOvLq9mvgIR37WNxNsbOqEzM0kS+hqEcNAjWOgxtGSkZuoGxEDZxE4cV3ei9n2GwVbaFIn16+Bag5Brl8LtWGNVraaQ5CtBLJlIkMZA3EGXq/rwJrmEFSrBSaFMU0bs78lFZQ+O5bUrWsmeGEowdqmwEZD6Da2BJpJ9gGqRQwDMU9JuOAQEpjRiMAiPUpEhmAQpCNC1BrWZG7t85BrV0NuWKsTGm9cDzHUNGOBPhaLI/BGDVRruL5QvaGT/hKDtAEdvAYe6Yhh604hpDaxthz5lu2EjggNxdCi1AzLiSCYchHx8Mc/54aQaDI3tEE/H62mU66tao24BsWYNlgwnWxaRXFb3VffRUOoVBnd0JIZpde2zxK6bPJ2hYhpNwyHTEoomd7zxk9X+WUL7Q1OaZ68qpiIEbAsVIoYNZ577jl885vfxBNPPAEhBIaHh3HLLbdgn332wdvf/naceOKJmDp1KjjnmDNnDt761rdi9uzZXfdbidB95jOfwcKFC0t/r9frOOaYY3DMMcfgn//5n/HII4/01rtJitFK3u6t3k/xoIThJCaKUdqoV5WSOkPyCDZdickh5SapJJvLzbzdZoMQuA6OKCBSihiUTM2bvkInvf9NL8CkArg1yaaqnjO9lkV3VSnNZVOpyDSxsbI+YmbgldwEY7A0KMKli2BptQnbN0SxIXypyVV4pkmnzgnvY1QUIA1MSVwkoErNlpKhZXMC+lG/foF2IUCtjY40qKENmsQlzVSNMKYla1YiKcCkTsXCBmzfmqkKkFcxlTUzpRPYkFG4tJqSjQ5lxsxnfxMxAF1nQNfxtPERXn9c8INVKawpWRb40Cl9LUBM+zrJBFCxq1Jh2y8kHEHQpE5gbTPBuiH92dDU5KeZU0w5IwzEHNMaUbqcAKk46hFDjTPUVM5kJgUoaUENb4Aa0mZWtWEN5Pq1SNatgxhqIhkahhLSkQlWixA1mmBxhChpgdnczJH2rVNRDMiBbJ+MmjXUklg7LLC2qcnq2mHdp42mTzZiN/IIarMRpYEfRkW16UQy87yw6pYmb3L9Wq3OrV8DmbTQWrMBydCwI6cwhI7FEeLBJiKp/SWRNCEZ19HOPAZF2pzul3uyLhgtmT4fQ4lEYgidfR5irl9odCoV/b2mdLJkv/qKHf/I+spZU3fSdH5/1vdPWVcEY12QjIOZQCcSCVSULe2mvICgZpKq7sNJqiza82ufaWY66rdZqDTgy73nyNQX1r/nFZlazlJPr5udMhdquY4ab33rW3H77bdjn332QRzHiOMYxx57LBYvXowrrrgCv/3tbzE8PAwhBP70pz/hyiuvxIMPPth1v5UIXScyl8e2226LbbfdtvL6Rfjyl7+MSy+9FCtXrsQBBxyAL37xizj88MNL17/22mtx3nnn4ZFHHsHuu++Oz372szj++OPd70opXHDBBfjXf/1XrF69Gi972cvwla98Bbvvvvuo2jlilNX/s29vSrpEtNxLGqwjYPWqdpkrF4U0/1e+sHUm75s7lBck4MMbeKQX3eqnLbFO97ohAEA5ktcHuOzq3ukxx7AmV+kRTu1Hl6YHIFtU3qR4d8oQkVboWKRNreb/JBcNqlURmapaIu9Hp/3lLGIuESeaWGhlriAXn024a82slsz5k1bSzCp0Uc1dP2n81hQ3OdY4T/PJ2cjFXBJoq6D4ZsuWKSGWUVOMma9ulzFNUGNuzWOeouIpXCQSp8xZX7rURJaqrzqyuJ5GUSdNgGsSxLwaZjo5deq7uKElsG4owQsbWlg7lGDdcAIhJZrmd9vWesTQrEXuey1i2twKaD/HWvpCoq+FbX8TcnhIk7mh9Y7MNdeuR2v9EGTTU+g4A4sjyGYCZo4VGUIh69oPzU7uynt+rNnVEtWNLYG1w7pPjqTmCGqNM6dCAnA+jY2IQdRyz6BXI1m1jN+ZMRu31q2HbCZorl2PZGMTspVACQniRm1s1JzPZsSYNqNHNVBjClhtQO/TjEf+bWyvkzCm1kRIDAmZSW0jlYkogESLEVqCOTW9/dlIaw/rhMqtVLm2Kp172LSPHKKaJuSJVh4tKVS+QufVQbZBNPbeGhKyLZBD+8AyDJFOdl3nzCRXz41P+XHW+i4zbsZh81Jpq8aoogrXAVsqli9fjhtvvLGQ11x44YWZ788++yy23357PP3009h+++077nfErw1PP/007rrrLvzhD3/IfEaL7373uzjrrLNwwQUXYMWKFTjggAOwcOFCPP3004Xr33bbbTjllFPwnve8B3feeScWLVqERYsW4a677nLrXHLJJbjiiitw1VVX4fbbb8fg4CAWLlyIoaGhUbW1Lw6p+QSsPhEzSElclsDZ3zpm7i7wVSvFCN8iZW6wd3Nmh3NUSZ3LHKP9mOlAnR7bkTgvJ50rxwMvTYvLtk/OpOsrgDY6UXr+N0JpxasppDO/2nVaZply+1DGB9G8sVuTuk3w3ErNq44AWTInZWp6tWkzPFKufJNmvpybdx0sEZcZhVW3u+XlExRehKKdpF0kcb5ubvuFzJicHClt6b6kpv7sei7a14q4fnoLmZ5/G9k6bFS5ZiLS795HfxeZZa5vntpc2H6ZnmeVaNIjm/ojhpoQrQTCLsv9r/LXx78A+eth7pOWyLVbSGxsJmgmAhubif4Y8m3Xs/eX8O4xOD80+1BI1wfXl2YC0WpBeG3P9KeZ9gXm2unz0cqaFAvur+x1gnseWjK9dtJ7Uer6wmcd/oVxDZEi6z/nPiJbOtD6cubamaZQykbqu2dbpsFBIvNsyMzzAqdKtldGcfeQO6iXs7DsxX2Sw0a59vOzhQl0OOSQQ7DHHntUWne77bbDq1/9alcysRN6jnL9/e9/j1NPPRX33ntvJtu8LdgsRG8TdR6f//zncdppp+Fd73oXAOCqq67Cj3/8Y3z961/HP/3TP7Wt/4UvfAGvfvWr8bGPfQwA8KlPfQo33ngjvvSlL+Gqq66CUgqXX345zj33XJx00kkAgG9+85uYNWsWli1bhre85S0jbmtfo4zMJJcmPpVgTPvR2ZteEpwZTydy1WCuWoDKDsLWBCBEWzSpC0AoIlbEUDT9+cmE3V+pfa9EbrAuvfV6HeSc03+af87m1LdpUpRSptYnHEFLlTpD8KzDsvWvs+sx7WiuLPlBmpalZd7g7XdfMRG6IjuY1PmqrKlSmn1IUOFbvZt8pC4k78ysSROq5akN1rQU1dLtXX3LRpviCqsIeQmYbSoJSyLs/0Mi9T+DZ7LkwssrKFM1NL3m1ryfrURig3BsagyYII9Mu63qSEynluA1s50wdT7bB3Vpzrn9bGwmGZKTJPY8pT5PtUig1mSYakhQbH6zwTyOAPlRxUYdtT5zydAwkqGmM7lmFLqWVrWVkGA17YNm/c9Uq+mSMrtL7tKypOb8llTY2BTY0BRYN5y4fvnXI6PWGfPrcJLejxGjAhO40kS6le2LbCWmL03IVivjQ+f6ZfrCgTQQQeRJXTbgyX/paUnpglWQS2dkFTqhmCsdKHMjDPnHkdLcQ4a0meciMyxY82vShDLPQ16dS69BqiimJF86/1L/XAMMMfRzI3iamqWUi9qXEz863fbBmlt79JsL2Pxxyy239LT+T37yk0rr9Uzo3v3ud2OPPfbA1772NcyaNauv4cbNZhO///3vcc4557hljDEcd9xxWL58eeE2y5cvx1lnnZVZtnDhQixbtgwwaVZWrlyJ4447zv0+Y8YMHHHEEVi+fHkpoRseHsbw8LD7vmbNmlH3z0fZ21tajJ5nVAvyaoX5Z7xtmJCecgO4QQY9qmK+6uXna8r/9ZEndWOJNgJp2sj9jOyZGq9wy/zapFqdU23qXF7V8p3wLZpCm2UkT3P0dRr8yU66GVKXJnu2ZM5OuEoYvyZDSMmb3MpMTEC736NVTSypsEEFebRIgUnpUjXkwfyXBz81jtCRrkiaxvcpOwErxtOya8wERIimrlMa1cFZTafosVVPCuY+q67Y65AkqXmPOcd3hWYiIGSk1ytRhjLmQ0OsbVofmVfiWglE09Q/NQ2Tzcj8NSqdaHdp8OGCiqRWgCyJaBpV0ZLULLEAOBNoJjy997xr2v6yoDIvDLYvSkiIpu1LS7fZi2ASnIN5fWZx5IKnnKpa0C9/HJCmX37qFUDXKBYqLX0ly1S6vMIlhXdORYYswbodmDKByj4XRemOvBdL5QK70jYLT41254OZl1RfnXMqXXm73TNtk5rnrCybEyikLZmw6JnQ/fnPf8Z//dd/Ybfddut7Y5599lkIITBr1qzM8lmzZuG+++4r3GblypWF669cudL9bpeVrVOEJUuW4KKLLhpxXzYF2h4CP6IqQw7HFmITHKTTIQqHTcZMNuaS/ZW8MduxPV8domwZvP77E1ZX65KdtJBVSZVICR1ZZlNBaq+CPAm2EaJVYE36ZAiRixK1JuSkZcimIZytltuWeJpv0Pn/Ca7TsEgBznUkoc15Z6MNbQRumh8vjUAkk4B7NLDKioMh05ZUa5OxdGRC1+uVkFKCvPVS1dVLIl0AS65hCahLaltALKwS7K2T2VenJ8KZ5mXbC4L0+lPURyWz9Z79F8/8ndJ2P3ltzd9XPpGrfNn8Z8S0lzgr9/+tsksvPQy8c+9/555vbNkz36nN+Wo3mxtoLKJc+7u7SYUXv/jFWLBgAa666irU63W3/Nlnn8Xhhx+OP//5z5X31fN5PPbYY/F///d/vW426XDOOefghRdecJ+//OUv492kNqg8a/AqPaADaek38knfxwKdDlHYyy4kqEwhtQNVEdEpIz+2/8zLO9fthZNMklq9YeosbZ3VyZep8vn5RgCbMsK2zxEl7+OvY9NO2NQ45KpEkGeGU170bpoWR7WML5Y1KQ9vTMne8BBUa1hH+ppUJ0wJRIwQmQjORsQQc2ZSqHDUImY+JmLVfLj5kM0dZtaxZkqby9H3L+2mBFBOHiTOdLoSxsDMdWEmfYlNY2Jzo4HxjjU77Xl157/DtXAqnbdOZl+dnghbBcJvozWtev3R9xl368GmZrH9yY0heWrDc+eyrK1A9hpUJgP+M+Jdm6LI/KpglEaxouTc+6j6wuO3OSCgFzzyyCP4zW9+g6OPPjojMgkh8Oijj/a0r54Vun/7t3/Dqaeeirvuugv77rsv4jj7NvK6172u1106bLfdduCcY9WqVZnlq1atKs3BMnv27I7r27+rVq3CnDlzMusceOCBpW2p1+sZtlyE0fjP2WSrRctdfUI/VsI3E3nrt+2BmfwSlA7Qdn0y9UyrwJVZtKWFTKZ4/2/efJIf4McS+WM5MiU9hcRPcGuTklpfRc9nx+b88/vK3F/9qUUsY6a0kYgx1xNEqiKVkzldFoj0NbGTbhRDJa00otUzVZLNQcd5WjUi1glV/etqr7W7Zkj7EfO04oMlFDXOIFiqTNRMUXm7bqqO+fVd0zJTJNNz58p82RyH1oTsJ7FmXKc04bq+JoY36pJZItaJlqMWoqjujh0zhikxw4aWzok3tRFlTJK1RPuf1SKWSSxsc7dNqWkSGHPmro2uAFBwPWxqGMaAONbEzaTziBp1+BVpdZRr7KJdWU2vp/MF8lLizYzyyE1KjJpJ42FJasYv04varXlk1k8eznI1UnXjbPk75oiQbhsDr0XgcZQqv34eOtNX1xd3Psw95iX3zvaJ3F9m+sVUlgAx775B7oUn23b/5YW79tu0Pbo9WZ9Me87J62/hufdOj62qY9vMZZbA2Xvd3v9+H1H04ui1u+159AOxNjPQFhjEMJYgItxwww346Ec/ikMOOQTLli3DYYcdNqJ99Uzoli9fjt/85jf46U9/Wtiw0QRF1Go1HHLIIbj55puxaNEiAICUEjfffDPOOOOMwm3mz5+Pm2++GWeeeaZbduONN2L+/PkAgHnz5mH27Nm4+eabHYFbs2YNbr/9drz//e8fcVvR76AIYhmipjzfLmmImx+pJ00QCrzQfDeI+B+XoJZ7zvbe4Ff0RmkcoPPwBziBbFLaNoLVoZ89wXPIttFQVp2wBdmJKG2tVY38tAK2PqoQIA6d+NUk/iSZaNXC9IFBT/66coIu7xVLnTvLEggYEmTJhyMipmyQzd3WPun6ao4maypq6VxfdtK0qSPsJrZKRK0BimugqGby6HFNkHLnk7lo6LSsV8x1X2xKEmZKHsVmU5u2pOFUsbTkFHdqnfGf8wJvMgXJ/bJyBYmjFQC0mrp/SQzVGgZx03/RBIhQ4zVX3mpKrCs+6GS12YoQQkYYqAlD8vQxaxF3ZG6gpv+vRwx1rj/cqY+eawKxtOpDrQElJXijhqhRd+QHAGQtduY+HkeIBhv6b6OuSVCtoa9TrOu4+hfe3pvWjGw/A7XUN44zAjd+emmiZI6p9cj1x14bfS3JldDK3FtE+h4x9wyL1yNq1CE4S/fPmesLY8z0V/eZ1+ugesOVNgOPc2OJypjbfCU3ZgxSCoCxTB66mJEuy2avgeE6+chGVwPVPiNR7F58KCcaUBy7ih2Iao6Elqmjtp4s89TnmDFIpgM3BMumhmHmWbYl2Dq9pKU+ujztj1/hpoNiO1lBY5AIeEtLLOxDKYWpU6fiBz/4Ac455xwsWLAAV199NV75ylf2vK+eCd2HPvQhvP3tb8d5553X5pfWD5x11lk49dRTceihh+Lwww/H5ZdfjvXr17uo13e84x3YYYcdsGTJEgDARz7yESxYsACf+9zncMIJJ+A73/kO7rjjDlx99dWAGVDPPPNMXHzxxdh9990xb948nHfeeZg7d64jjSNFX8icrfOnVNZkagrSWwd331lfKVNf0zj6KpYNCEgHR0oJG+O6FJY7bBmRS+EGbujJsAU92bQ8H5n8myz5KVVyDujZbnMotAp/021RGR9AfxIhUu5YzP/Acwz3FSSfYAgzkcsESiQAFyBKEPMITWnq5pJWSIYSHSXZMKaePAmqGxOg/Rszf9KiNIjARrmZ3HrEIlB9wAU6OOdvxp3CZa8ZMaYn2PpAWkM0rumKBDniDksgDJkDU2hEujxZnXvO6kIXHncJkb3EwlMsEYoYalGaOd9WI0nzbnn+mnnVl/Gsydv+Lpk2vUYtUwKtaYIjmiAAUaOOGifUIx0ROa0WOX8rTuTUKh3xKjKRodYUO7URYWojcrVc65yZahGmfF72JjSkrgaqD7jEupGffLem887BKHTcRoPGMaLBBtjAYEq4oxiKpelw0ntTm5JjTqhHupRXKxdlXDP3mK2vW4sYptS47k89MtdF13Tl5L3IEAEmNY7iEViUvgCwgUFErQSspYd5UYsgmkka5VqLHJmLBk0evVpDk7p6w+Vo1GMKZWwDlPN3lJwAcBPlmpruI178wtMGT9XSLy4xVFQD1UxicFPmyyl2lojHsftfubqp6ZhB5nj2mSh6ucmXXNOET+eg89vsErgDuXHWEtF0eb4tmxupC+gffDeQJUuWYJ999sFpp52GU045ped99Uzo/vrXv+If/uEfxoTMAcCb3/xmPPPMMzj//POxcuVKHHjggbjhhhvc8R577DEwzwRw5JFH4pprrsG5556LT3ziE9h9992xbNky7Lvvvm6ds88+G+vXr8fpp5+O1atX46ijjsINN9yARqMxJn3oCpOXzJldLanzfldEJnIMmdxJzhFZEsiUAbNF6iMvTYcmDnagMWTOVlDoBJsvzZlW0584A5hMS0BZk6v1v+q2z5GClARRZCYx3Sb9Bg3PFEhpsljn05WkGeg9VQbCECtTuUERA49icDPxcqZrgDYihpZMiW+eBEVcF4K3BeHrEUPE4UgdZ5R9a7eloXgMirVJkpmEwZACaLVMGoZs2pI2la4+RZdkMlUxnBJrzXuk+wBpzZf2+unr1GJZc3lsTa7Gf61u+hMzUwjeKLGFyasBz0TmmfyYMcHaidg43JPJj6aGh3TfuP4oACwZRo3X0JIEIQmyps+9vt5pu3SyZJGJPOZG9WpE3Kh7HqGLmbmu2QkZxHT6lIFBbRI26mhkqygYMidMgAcxBl6LdaqSONJkbsp00OB0sIFBIKprEuQTbMAFe0yJOYYSCakiCBPVW4sYBpqiLcrVpioZrGkyp0mdUU0ZjFnQ64uJHkZUBxsY1GZ80xc1PARiDCKOXV8AgMexJnVTNPljU6YBUQ2sMQhqDOqqF6aMlZ+uxCpe+hnxE/MqcPsuYu61RsQcmbMvPKk/pn8tSJfhU8oQtBqo7o3P/kuPJXQFinX+Bceau6Uh/S3JslVShK4JDXOdIs7cy5rfZk1eiwYnZhJ8R6linSlByDaZL/Omgr1+/d7nloq8L/zb3/527Lrrrnj961/f8756JnRveMMbcOutt2LXXXft+WBVccYZZ5SaWH/+85+3LTv55JM71o4lIixevBiLFy/uaztHhSJSZ7P9syiNfDMJakUmrQagSIGU9luxha6VMcGRe6s2KSKiOE3SadHB70QPTMypbeT57qSO9cq8ifs+QqkiUeWBdwSzk1+fGSRTFc6WO1MZkyunlGy43Ghewe+M6gUbBdty6hDjMWKmS//o0kuEumSuOgQjcv+7OpUe+ZkSc20uNNtzz9RmWbQiBvBaWuqortvDotjlpdMTsa/QmcnLmMLATQ3aqKb/kmfasQSCAZEikMnd1zDGOUsEWpJlyIMlgTEn1DlHLdJmz9RECEeIIFTW99NlvdZt1ZUtJJRXCVZJ7ql0IqvSmWoNIAYkw4jrNTQ4QSn9ksMZN+dYZGpw+uXYbH3dmKUm46k1jmm1SJdu8vwItbKs3HOGKAarDYANCiiT808ZIh3XdE49maSEjgzB1sRniiZzU6ZpAhTXoXgN4Pr5cwTbnEfBtepoYc2ng7VI53Hzrol9oahHDFNrmsxNq0VoRAw1ThlTuIJ+5hWvQcV1UGMQzCZ0ZgyqNoS43kA0PASZtNJKEZ76y6ZMAw0MgtUaoMHpUFHDfLQZ2ZE2q9gzpdsvCXVl7i+pILyyWc7MzG2gC3l+bG2DgSNH4Pp+ty87xHmaxsSOW5HxJTXtd89C3txtlDlpAmTqnJuydmh7uWHGzUITuvT82xfHlMioLFkzJlelvOTlXq7Ltn72gIlWxzWg/yhKGDx//nz83//9X2l2jzL0TOj22GMPnHPOOfj1r3+N/fbbry0o4sMf/nCvu9xy4ZE6992Ycm1C0rTcVqrGwRadVgpcAUISBNPrMZsHiXEzqLTcWy2iGJTk2lASlWXJk/XH0nUZ01QSkOlkxb3gAZ/HlfpF5I9ZFhnmBzc4cpkO0r5CxxkBifDq2KYqnU3ca49FUeobZAvbE6+hFjXQktIRu0bEUhWSAF/PjY1vViPSCpAlc9q3Tqt5nKXnQxEDce23p3jNKIX6GjGfcHupGpzjt/Fn0tuRI3NalTBmMevTxHTSBKWsX6N0heNjTi75sZ9yImbMKYqxIaTpX0Pmcv5z/v3qlMIoThVJGwQhhDErM5cSg5ImVJNDWfOg8dVSSQziw6hFDU3miCEWCjWmMBBpQjNkSpe5ovVecXVNHnRAhSbYul8Nrq9PZFVG++LEY0A1dGkrwPnCyZo2P6rhIajmEJj/whHVTJu5Lo81MAgamAYV1aEiTbjB0mGVTHH3GiMz2qbKT90ovEOJzKTTYM5EaV8W0v7YfnDKOvQrU5tYRQ1ASrCpOoJVRjWniKrmEMh7qbO+g1RvaFVuYFCbLmuDULUBqKiuax2bZ8SCmzzdnOkXAJiXrLwZmRlfNUfonNrlqeqen5l9FsG1qVWfC65fuvxJzxBrMKZdEeK6CaCIMgqdU6tJQRIQcZjXDK1yDiUSMip+ubGELmK2dm6ahzE9gcyNswpezVaj0iq/PQWlDCcrxiJtyZao0HUr5bXttttiYGCg9PcijCjKderUqfjFL36BX/ziF5nfiGiLJHSKaORvUl5ZKPvdL2lliZ1bZoZWpsjzsVOQNhmsXyUBaH9LdD51rJhI2Qnbe8D80mPW7Aovm31bl0bwwJemIrDmR1+l88qf+c76fiAEeRncM/VRjWKkE+JygCe6waYAOXeflKTGJoO8O4XeRFWPUod7W/+Um+LpRf5aikepb6CSoMgWHJepn5AfFBFpgqBYpE1gxkwIxrWJimUfYXtebESqThKsnAs6kX4piEEQ0ou+NAl9LZnjXmSmM6mrAiXV5PvTUaI170hpRRJlOAT5ec5MyTObINmPPmbGVzOy/nPGb1MrJAw1pQkRI2HKNOn1rBpU5xwxs0oW3KTsoiwVUpcExvX5lFKr2Q19pZUp/O6bjAFoM1+tATCmyVxjMFVMbX1g8wwy0hVIOCNwBXClib5S7WZwPymvJdZ1LzjFD75xfpq5ews8gpJaPYRSmqwJAUpi1xfyKy4YsyYzBJbqU9x9pnjN1ToGMXdL6vtauRepmJuarTBJtplvyrfPD/OipksCplje9ze1LLhKL75yHcfuZUexKK0RnPddQ2reZea5cG2OrF9s+qT6bfZrZbOcr5PvP6dYlKnykzf7bo7oN/8a6f76Xfd9U2LOnDl46qmnHKnbb7/98JOf/AQ77bQTYNzb5s+f31Ogac+E7uGHH+51ky0CltTZQAlL8CqRPT/Xk/Gdy5hbbTF6pIO+Iu1HJwj6oxSEIkRmcAEzAw2zjt9GBUJBjraiyDBPDXNOxQxg0ubPUmA8DYawJok2h+cy/zkvSMOmUqEyM7BKgyCIlItI9Z31fXMrvOoFNuGt8+NKWpkyVEpok6tqDWmzK68hkoRIKpcTjRO5Wo9ASuZipn3mrDKnTXsw5MG0105CRPp62Dd3mQAi1qQnSqCc71+21ITi3ExYdnIlYwaLUrOhl/uOgwCuJyFpVDpuyk1FEhCKnNrrtjETXuTSNiB7bqEDTjJRrRln8AjEpTFlcyCuuaoWcKWkjN+clJpg274NbwTVB9Mi8DIBRFNfh5i5YCBlglKaphTTsJAYrDFXp1UqlUk7YaNlLaFzaT+s1mTM31ZJIWMKJ1EHxQNgA8Og1rAryabvWZO3zTN9S2dmjbPKqfccRS4SXP9f4wo1o1q1TMSxNrnqbbRpXJv7IpaajCPWrkqTHWMY1+qc1x/tZzagzdpeWbb0+fMUrqgOGZvto7ruS9SA4jESr2SaVeVhAogAAsUMdcXaCt3HPB0T7MuCuxb+G58jpHFbIAHxuL20FmMuAlcrk9wQ0Fibu71zb19M/BcaZl4M6ipV4O3LjfUFjrwIV5sjMRNU0/aCVktJnVXuePrMViF4+SA7fw6x34v+31Jh675fddVVOOKII3D55Zdj4cKFuP/++wuVL1v3fcmSJTjxxBNxzTXXYNGiRVixYkXG535TIe8798gjj6DVanVcpxt6JnRleOqpp/Af//EfOPvss/u1y0kB/8FSmTe44v+7wZb4sapcSuyUq0kJK/1zuPJGQmrFTDIGxiLtR8csGRAgljj/MWXNeXZwdH2xypHKpL5IoyZTXytbhcEO3GkkGFzKDudv4s6DDdrI5uyifA6vvFpniri7t2ymlQ/7P5l1YEiR9Z3TZK5pipVLoxh554AZf0Ml9V/jwxWTQhMKnJRRF9rz7dmBvsYJdQbETDkCQZBZExEsgUhT0ygpILkEU0JHeyrlgjkscfInB8k4FKtBkklsy1IVIK3/qwAiRIZgK6WQSInIKCqSExKRrTNLhIz5OoLU6hgz58evfeqbWq26RREkCYDF+r7z7iWrlqrmENTwkPb1TFqQSQKZCDAWoSZlpg/OB1INuyAMJVpQSiKiCAP1QSgWYWNCGEoUEvt8KDiSU+OEiLQaRgAibuoeK5nejozr55LHQKR0yg0loUQCLlpgYhgQTXMvCc+cps2YIAbJ6xBRDGI159PlqzSOLJu2KU6oSYlEADVOaElCIq2pMr3nrdkvMj6PMSkdnMKzRMgpoQqQPDZ+dLEmqrwO4nUwPgymElCtqYmzU+CZU+Mkq0FGdUgeg/HImI25q3MspPKijXUDbbVnBq32AkCNqwwp5TkXjNgjp20joiFHLtoV0BHQkrcpdMoGIliTpjE5K+NHCMZBSoJzDiaVKZ8H5/MrGIGb+swZ1c17JiyBtsoc89RUgKUvaEpCMalf1Ox+jFoKr33dMFJyNh4+djYFTL/32Sv6Xfd9IqLX4JMR1XItwqOPPor/+Z//2SIIXb/fjlzgqjOvKi8oAi7S1RaJd5GWjGkiR4BiWqHTvzGnBmXSAUQxVIJUSSkyc5qUH0R+1KRxvlaavAlFiL1Nuf82TukA2PU85qNuC9pjSSYp5VRDBqPSmYnB+s/pFCXGd07JTG1Rq0wo6MLxzChH2pm5BmJDABEkODirISKFCAogBe6TT0oVkhpnqHMghgRXAjTchJQCUeRFn9oUNC6lDKGVCD1BEgfnNV3LlEEXQzdKVXpO9ESVgEG6aEMFThycmcAVj3SRMudMCiRCggPgPAYjBUUcImcqJ0/tYTbNS8uoZYyDIm9SMqkZlNLDr1QKQkgQB4gJCDKR1jbJqo2IjQfA6sMAYxCJQNLU+9ftiRFZPyTmTYJK6mCJ4Y1QrQ1A0gIRh6wPgkc1DA5ujYgxNEXqX2oVsJgp04+WJslEYI4AeNeDRVCkz4eA0G/DDIhiCa4ScDGsTZQym9RWRTUo4kgohoxqjvBE4G6y868LKQmuJETSAimFiDhqPELCgEQxtGS2jBYzJDQmaIIN87KSANxGdJp7ySmY1iVDKEjJwHkDEa+BxQ1EKtH9EOZ8mGupWAQV15FQBMnrSOxTSzr/IMy+hVRYseJOd/+TyX25IREQEsbXDNhofBqzyXnN2KUUYiJMrTNwEIaEfoYbHKBkGGTN+cSgiIM114OG12mzbzygle5k2PMPjh0BpNawLobWmA4RD4AZpVvxCAkIzQQ6b6YhlYkE1icCSgF1zsAYkNj7yBBlnb9Qr9sUEjXOMCVC1n1BGZ9dmUu/5J517jKza6JfPGeUzSVVFDpSCus2bCjcfsxAQJ/5XM8217Go+745oGdC9/zzz2e+CyHw5z//Gffeey+uvPLKfrZts4f/cmXJnLQFxb3IVqFSMmfNGjHXJihGNgqWnNlVkz3jYyUi/bZolR9WLYUIKeUKsbuSRUyrO7FJHmpzZvk54fznMutAnDpAa5OJTnSceY5L/PosqXOqISNIwDO3ikxdUVJSR7AaPy2YwuuuPqUJKtFv7hwUidTsoxiiOqHOI02OJaBMR2xbrY+TVefQaoKaG43SJqFkDSyupf5upAd5CR2UMNSSkC561yQnJo44jkw/UqlAsQgCDEPNFhIhnQTPJVCLPdObJQ+G0KrWcGoiFU1N6uIGJGMQTKt35JlaISVEcyOoNeQmKMViEDUM0UoTt2q1imC83aCU0DcuIwgWgXGeCWixZIJFdYDXwWpTtOP+wCDUtG0g6tOBWh0qnpJef2kUtWQI2LgOauN67bcmEyCugUUR6vVp4BFDItPrEjGCGtoA1dyQXg9iOqdZXHPXQzFdoSEx0bKtJHH3BGeERlTHwMAUTTbsvQU4014ioVOnDIvUFB/pdBecAZGdeO0LRjIMNId1+4lAUQ08GkCjPsUFE9jhwJmJRRPSXZMEypBJVhtInfGJm+AphZYEhs29ZRNk13kdFE0Bi0zOP5/Q8Rokr2EoUWgmEolzD1CoRdyZR2NOmBIpTaqUArU2gJTCYG0QisfgG1cDQxsxrTENKorBWhuhlCaEJLRlQDamQRGBb1wNxThq9WnmUAIybuhnDYREKWxoKcTxVhiYsjWGEoX1LYF6zBDX9RhHxhKQKAUhFAYHpyEmhY2CkLQkpsYRmGoBIMRKIGZKB00A4BueA5TC4JSttCViw1/1cxbXNVljHIo4SAnQhg1QtQZa9angUGDN9VDxABKyZdG4rk0c1V0GAm+oS1+K7cjRgbQUKW2d3HfyLj6bC9asWZP5XlaxaSzqvm9qEBHWrl2LRqPhxuN169a5c5A/F1XQM6G77rrrCpf/8z//M5YtW4a///u/77kRWyLKyJzykgdb0uSTOhehKABAIlZkolwVlNJqg1bVWDZPmYsk80uBeQRKemTIOKdzxsCESks+mcFJk8nU3yTmqbkVXkLPNvj+JcaHLvOzLaGUSz+gT5gEiKdpVDxn57QihHARrkpKTeRs1KjJ76ad9I3fHOO6egEA4k2gRSCl/aTq9emQ0P1XnkJnFUsd4ZdOuqy1MX1TJ9Lk1ES1AtxdZ2tC19cS4EwHtEhiQMTAed35eVn1aDiRaBo/OGNVRQQFZkgUUzaJs0mHIhNdJ9VMwDABDURAFDfAOYdSqYpEyTCUSECtIbBkSBMQqyjkzL+KCFKZ/pDU5jrvZhaMZfJEAgAfIDDRghqYAVWfDr7VbK2o8DpEPAA0BqGiGhKjHGozKQMJz6QmEh18keiqEtQaAvEaongAzCTlZVCg1hBEc4O+HsmwaQDX92MUub4o8+LUkvrFaGOi1XAAiAgQSt8rtaiRJqw2pLwpJBIhsSGRaCbat5WBAFLaN5/Mabc5HY35n5Jh3SaltMoXC+23FdWhYu7GBAalyVdzHdjQBlBrSF8/EwBDnAMqcukyYFV8pdAS0pxHhZYkPSaAYSBugPHYKXSKRZDEsbElsLGVYFikKiG3ATomD2VMCnzjC1BxA62ogYhNBVobQa0NOko4qgGx9rej5gZAJFCNaZBRA7y1XqenaW0E4gHI+lQoZpTMZAgAMCw5pAKmRBI1JUC1CM1EXxelgMGYo8E12dvYVKhxYAonAISNRGgJzYIjBjSIgYkWEhahKYApDKDmehCPIWqDEFO2BkuGdVJvMaxNzo3p2hy7cbVWyWtTIGqDYLwGSIHIviTFAxhWXBNuQ8xbxN0j5g9Z9l8G6qo+TbbUJDoArb9tJqWwdu1azJgxI7P8ggsuwIUXXtjXY00UKKWwxx57ZL4fdNBBme9jbnItwymnnIKLL764X7vbrOGbWPPIkDrYaFflPi1nLlNgkrxKEfotXXHS22ZMrl5tQb9ETWHjvChRYkYBAzhpU4NiClLCpDHxgxWQMTcVImO6M8lo/d9tbUbro9UWrZb1o3OKYL5mK5DJe+bXFtVBCIDyy1B50aRcDkO1OMA2olGboityEMEP6OUmsXFE2qzI/BJjjBWam/1UNBLkoph1+hcdBdkSCtJPYGoIoDQRqa4aldLmBf9eoZxfkk1VrdVNBiYEGE+02c3mP5QpEWZKII2hNvuwxMzcO74/lU123TJmN2eKYgQi2ebMq83DA4gGGvqFwd7bIMgWA1rCDWAx03nA6rVBUEubzRn0SwfFdbA4dvcGyQTM+kGaoAqOVAGFNdUzytZAVkq7NigFob0eIZXUzybTZG9IKEglzb3GAAUIKdEUCom5HokNMGHWN9EGnFDmeWKQgLKO/VITbh6BDKnJRHlL41eZtCBl05muQTy913yfRqQ+tzCRtVIBJIHE5KpsComIMTBed/1PhERLAU0JpxLqZ5lr9R2kSS8YxMBWaEpg/bAEgcDZIHik/f/8gI46HwSvT8VQIpEMt1DnDcTRgA4ssv6/EiYwRCcSrjMdOcuG14GSJupEqJnzYU2tJFqIohrq8QBoOAGt2wgAmBoPaHXN5oAzxJuxGASFhDh4YwYEgA0tiUQoEGraTYNFEEpheINu/JR4hgsmGtqYICKGGueIQWBRmlw5JtLuAABi4iAol8TcL7+oQK4U3FiaXDcXTJs2DU888URmWVk99bGo+76pceutt/Z9n30jdP/3f/+XYZcB1eGrcwppomBLIjKTuS3ibRJiShMwoRSZiFg9gSnOPKd6z+xqS9TYrOsFYf5uErIDrSuqrSCMD5kwjvZwTrLtb6kOfhi/9eezdRrtOl4hbr90Tj4NAbnyYspL3OsNal4pKiWLw721UsdNMt+WPl9JCxTVwaHMhCjAVAIeN1wtUQsbTalVLzIm5MiUeyLjsF3sRWjVJxhFRYt5TF9zc/1sBhrppaUB4+Ak3fnOVD0oQhQhSgBp/RkZAxFp/zwJEHmEx5p/GTOpKkxCY2OitM7xLc+vU58TIJE6UtOqW7aslI3KdpfEiyYkKO1DBzIvDcKdV2vKbklAxYTG4NZakaoNpMErnEOZiExzQTN/KYrAZU1PeFBehLD3YpOrfMCZiaBQ0OSNmO4fUr8qIA1CUtD74bYOqItsLpu0GTjnkOCafJj7WEnjK6i8oVhJ7ZsFXc5Pcb0NRSaZbckl17cehzJVXLgx9ds2wxA2eMFXQuqIT2ISEemnihi5nJcMCk0Ae+1/EIQCEi9AAtbf16tgY8cEv4qMDbqBZ9K2AUU2CpxkotVLE9T0/9v78ng7ijrfb1Wf5d6bu4QkNxskgYAkoARZxhgXRJIxEB6o5KEiqxMRZ4CngD5gVMKig9sITx+Ifh4G9YEoM8zgCOhDFGUJWwCRLZIIRJLcJGS5Se56Tle9P7qqurq6uk+fc8+5S259P5/zufd0V9fSXafq279V3QflLFQOvVqlKlvaAererUKVzHNFlOWcFL+lgIhz0T/5PLnQahix8ZTXdOglLV8gcwRC0qplTDFCT4V2mtoam+AgMVRC171nT8KMaBT4kLP/WOsE0N7enql0I/K+Dzc+8IEP1L3OqgmdaVQIwXLvuecenHzyyZHz3/nOd4bew3EEfaFUwhjtmE4sfBbET5IqWZ3Uqbd16T1KjA8iYdWiUAb2YSJuGZtNeolBpJWSRaVHmwpGnBRUWEZXZyKZdU5kEVCnbf1Mdq+gOoG0RNtOhY3siUXKAwPhfkA6uB+oemloDh2GJAkJBAEDhCqSGwFO1fg0D0bkKDyNUFAoMzQ1D7g2J3IeAefhvfKUnY7uTU0DoibbzhcCiQ5C6WiYH9cgQ8Izj1Bh8aOcFDxlb+Yz6VUaSHTKQg3ss8B4nAmVXxiKI7hmwGfieNRsQBrPy3yfMuNGW9FDc56Dcwo/T9HcvB+8YqsKu8OBiE2fGodKlJ4DCgD1PXVf4EXzkqowHMqph8LjRD1jeVuDtGw8stGrZyAM6qFIoQyNYUx+Oe+9fECeNDW2jL0HpkX8lkQBCKR4MtG7aUKhbfpEGwuUCjp8AVLkVZIEbSyeR5HX+mwbPxBJTqjuBdOuAcLUeCq/syoLRZjk7yAQaFHDbpSG2XN0SCInbSJl/EVCwntozAdPzFv5sizXMmkrybi0o407ccmg4OazVPEYhbcrB+J91Z/7MGDYpXScJ4+5RtRSX73zvu8LqJrQPfvss9bjf/d3f4etW7di69atQA3utuMV5k8xIVavFb6miuVcprAhSk3rmepWmRxe5Y81O2NIOoQKTErePCGh45yAE65WcaLZ2FnHaBBKIqWGuhJCvskKCYyytYP2xqvdm1jv9Z2VegBK6blrkwIZa5Bv39Sw6Yt4lsq+5QpRcmQQU7Xxisj1Qk5lv19mPwgB5Txygz1b6Ad5vQwfYqSUizxzM6YcoGy0oJEH5uUD4uZLAhfMO0nmBn2OwTJXJE6St/4yQ1/JR4lx9JZ87B0oY29/GX2DPnoHQ4mcTEDfXPAwsTmPjmIOA34e+zXlwQVxLDGOPPWQo7m44430OKReIHkUz5zom742HmvydsJVMGmm6jXuKY+SGipecDhC55LwxUd/eGHAXPlcOMK5FwnXorcnyLk+BqW6M6XWenw4cFBO1MuBnLYB+QqlunKdkcQqR6OhbHQixjIs5WYYixin1exrEyXL2kscZ4gQ38Sy+nlLORncmYGo9YzyIHMEFeYPXqR82F/zxVQRXdvPVv+dOQwLGpH3fbiwYsUK3HjjjWhra8tU/p/+6Z9w7bXXYsqUKanlqiZ0jdD7jmWMNi8jruuHYCxylIYG75XeiMwcqkEaT7WoEUN6qJpLuh8R6RvRYtJp/YyoZpMX6UzQVLgqWbytT7oE0Ijrpt8HU7MbQYUNx9o9AmVzlfbyIyV2hMTLJkpBuR/cX0t/zMCtNmKnPyOVO1gzBZDqOJ+F6lSTzA34DL2C0HX3ldDdW8KuvhL29pfQO+jDZxzFHEVzIYdJ5QJaCmEKKZlWLS9ylg76YVgOPQ8oEZs1kZIpNYeiatI0dRfUC4mQKGnEO4l4yLkgn2FobkDSnwul4Mhll0YQGpWLmbalhikCVN+jxNLMcmC+NOokRy+fNduL+dsgRj01Q40/w3plXsoD42JuvPbIZ6Y0EOZ1lr5XvA8mmbOZsexL4A1QudYoZax33vfhws9//nN87nOfw4IFCyqW3bNnD374wx/iqquuqli2bjZ04xWNdh2XVXsUgTekyNmq51C1gau3/JAoqe+mvUfkwsC4X6oxiJCBSJVSEE1CSphChHZ2xiIeIRAk3JQ4V4E5VdMyE4LIhRglgCJlk/HDl4bgobpN8+alwgswLxwftHyuIdETOUhz+dBej1CrqjfmeCulKBbyFJIjnYAJqZyIBecR+wuBIiLavdXrIhHpkiYdURuLUAclSQ1MUmcOUNomyRht6oPQfk5I6QbKIXHrLzMMlH11bPdAIJHbunsA2/b0Y+vuAfTtHcTgQBmszEBzFE0teWxtK2JiSx6D5RZ1n9SYmnIiA0qYLSH0NEYYh1DYQVGhVlVqOPOZGJJeaUpAKReENSqJNWeB+k7068N4fklkTklNidEv23OQmV5YVGoVsc2KSBpFijExMUjC3ij7pr8keOCCkEUlVbDMd70eeb0kwLoUT72jaaRQqX8rkTz1+0NoOEwIYk9Cn/PaXxuRUipeEpo1QLxMmdJHs+8Elt9ZNdgnyR2vmYAlV7nvOHdkwdFHH41ly5bh6KOPRi6XQz6fx2GHHYbLL78cP/rRj/Doo4+iv78fjDG89NJLmD59eibnjUyE7sQTT8TVV1+Nd7/73anl9uzZg5tvvhmtra248MILs49uDGOoZI4YGzcXhtcUoWRMptwKvotQFfoCavSBG2I6M7drjIAk9Y0zUOqpjBEyOKdM/aVvS5L0JUon5GYkPRIBwDclRiTMTyrj6GmbMNMcRZjmAaxUyzRMk0UQ5N2UoUtIPrzPQXgUkQ4tlw/DpagE3yQkNbraTlNJRcYmgu2mEmWlqhX3SMSCS1Oxm7cyov7RNhwd4bOVm6GXvFhabL308CTK/kiTzklnCF+E+ygxpshcyWfKAL/EOPoGffQN+ujuK2Hr7gF0b+/Fnh196NvTA1YahFdsxoT2FpRLDH39ZRRygfq1vZjDQJliIEexd7CMouehkCMoy9RRIpK/x2UMPXlTAy/DIJSHRaojxgWubdRaiBihCVcvDVmkS0paqKk9Qxs0YWNFAimTeoHJKt3wDOKtkzlLsndF0MR3/aknzSWpckxS/5vQpXjyeqjAPPH6iRFiSL9fpvoyYg6ipdEKXvrsvy2uv3xZXqJkG/rzZpp01WZ4YT5TaPePxESRFNy4v/ozcnCw4fbbb8cPf/hDbNq0CYwx9Pf34//8n/+DX//613jllVewZMkSdHR0wPM8fOxjH8M555yTqd5MhO7000/H8uXL0dHRgVNOOQXHHnssZs6ciaamJuzcuRMvvfQSHnnkEdx33304+eST8a1vfWuo4x3VaLSaNXyb5UoyFhg7B1I6KRWQOVTT+6qRt4xvikq6ITNGCDsjzrV+caSSymiFmgRNI3Y2MgJDOieldTJWHzR7JmkgH5FESjIIEYqk2BRkhSiXojk2c3kQEWyWGMnI9ZycnAZxppjGvKgIlU4iizlLliJA2rN5KhG72lBIXOoYv31xtRHUhmMhZeKvkn6SuI2WXj5y/0V4EsbCrCVJpFOqWks+i4TgkYSrkKPoG/ThM4bSQBm93QPo3vQ37N3yOkp9e1GY0IHSjIORKxwAzjj6JpYj3sRhqjsfJRbkPg2SpgfPvaBucSApEpmB1fOBCABregvq95EhJHWhijZZampCV/9Kgm17JnJ+KKkpshvTm6pw68uC7IsgpllzQIZrQ/Bf2lWMB8SNC3tOpkkobS87ptpSl3bFO2KQI5oL4q5wFpVU6tCJXJJNsOU3F3velvthPlfVRfVWmGCuMB7QCJVrzOVm38asWbNw3XXXRY5t2LABBx54IH71q19h2bJlNdWbidCtWLECZ511Fu666y78/Oc/xw9/+EN0d3cDYsIffvjhWLp0KZ566ikcdthhNXVkPINom4sy3BUZETwexj2DH/yVmgiZQ1U6JcRUnqa6Rv7PjffxpMVIBJCMLsYBseOExOLo2WrhQs2i1JhM5EBk5ajBN0LVlJLOKRWsB65F02cqFIaw75JpnXJBIFDkCmF0fxYmjSe6Z2suH5C5QlPogCGSrMu/zMtHIvhLyKj2dlJnPlzNzknEqVKG/FIuokI9RC81Nz4SOWdIIZSUicfVT0LqkUQgdMLARMgLjvD+mn3QN22fh96sQVYBCpajoDSIYeZRgu09gap7cKCM3ZvXo9QTrB393dsAAG1Tp6GpJY9CjqK5EHi6FnNeMOcB9ItUEANlJs6FeVI9cfOlfR2XITN4eI844rER5Savq711VWUSIUoj1+Zzkfc0RrCFWpfzJBKSrl7Un5f8fSm5LE9W5dugS6jMcCQmFJ8RcRn1a/VfiWl7Jte3iApW61/Eq9VijyaJnX4PwsYMuzVTaqn95nRSB0FGreM07FStJD0sbF/5Eoi3g0MSZs+ejaVLl+Kd73xnzXVktqErFos466yzcNZZZwEAuru70dfXh8mTJyOfz9fcgfGI0Kg6XISh2XlArPk+QlshT6T0QhkqWXyehobjiiSkreNpC4xpM6Zt/vpbq5TYESkJ0cZkgmlvsxFPP91+TluoZdwmqTZVCbc18uaz0EBeGuhzTkJ1qUyJhCA/FilI5wcvGqokF0rmVH5OLw+WK8InOZR8wC+XRL9J7I1dJ3VBbF4u7gmPZUrQ7ykJ9LOBh7Igi1TEiJOERL/nkDZSnIHJMClis7CpBOVGzjkHY1qqMGlflmK/xQCUymURDzEYW2CfJcJOCBtKMB6YAQgCSbkPSoAC9dBcyMGjgM/yaC2U0VvyMVhm2LyrD1tyFKxvD2ZN2w8TmgsYGCxj49Yd8DyKQnMOB+zXgv07mjG1tYiOYg6UEJQYQ+9gGQOlcmAvhzyAHAqe3UuZcUGUGUNZSJI8Gua91eeqR0LPTs45wP1AEivyJCf9mNRRzsF8IcW2ZMiI318ingkN5gr1lLQo/B14kWt8KR0mQXDjpDZ0Y35fpIgjBKA0yJJhC2KuSApn8JnIAyzeDs1AzBCEV0psTW9eRYpjbcj+xU0EiC7pkVJMzmNeq+Y6Eb1fKTHe1PXimZIwk47sqx40PHLcIOmEWMKDRGxW7W2neeBWwmgNHBxoaOodtmT0jXMkcP/99w/p+pqdIjo6OmJpOhyyQ/cMo9qCKw28pXSOAfA4kKeB3VIxRzUCSFT8N4+G9iphpoH4j07FKksMRKcXlgspVYbQVJBNGc5ABkeHVBObCz03VaI0iNfGoCQXkH+FQ0QYM4xEYqBxzXaOi7y10kif0lyQSkyGDzEM/4mXV1kRIiFScnmhZg1SGJVJHj7JBemdWBBkOOd5YZgQHtowMh6onpmQqnLRH3ACmuQaxxmYH4ZD4YSAMwYq01NZ5wkH9/3oIsopiKfZ9+kSD0ECyn6YL7bMOXJUBM0FYhskJwTlUjlUZwdMGTSXC+yyNGP7QM3PwHIE5RwBRZD3syXvoaWYQ8ELaEqnn0eJcbQJD9a3tvehPLUD7ROaAAC55gLm7D8Fk2a04rA5++HIAzpw8H4tmNiUQ050c6BM4HEfhFNB1kQGWUGAPc0LG2Lul30uHHckwfFjQX/1+G2cczARYNojVCnzacImTEgQxJQzX2RuEEGsPS+S8cGUkpV9X8siIYP4eonhLjgIfJE3FwieKQWH58XLyvEw3w9yG4vRc78M6gWE1nYNZz78cln0KBgcFbHvdDXqs2ueBkCgR2/U01pJqa4HIoO5IIx4GJRTDmSyXgjnK+IJ8hJVRYfZFXgQbFiuD5JQaIsPV+p1XzlccdEX/TUp2r403Qj6Skk0V2q0HFfPDCRL3LTsZjlp0lRbMGH9f8I5enp6MrdVF1RjB1pNnQ5DhvNyHUGoF2RDWidJXY4Gb495KtYuj4MwoqLyy/ypnlC7eNpbcmyJ0FUAlAK+Hz2XApXOS4bNMOI5oRI91G1/lDdqqHqSZZSBswwAq0nnuCJyYXR6IiR2JQDEI8hJ0gYAfpiEnPiD4L54m5b7rQi6LDMhcKFq5TQfBMH1eSDhARcxzrgKHKvH9PIZAxfniIhsFQ2aIboRIWO+2CykVIQqtXns1olNF8w3Uj1xa3o0CV8LtCxfABjjIB6NqGXDQixiI6QTJJDAeNzT1JoepfDAUaR5cJ5H3gOKHkFzIYeiR4VKPY8yBzpbcti/vQkdzXn8ruVUbHzuWfR3b0NTRyfmHX0MPnjsbMyZ2IxDJzdjv6Ygbyc4A6ceegfKaPbyaCvmUPKDNFwepSjmgkwDZhR/yG03SUMWySoic636mvRW5rENJK3mZkuEOhd+WeU/VvIcYvzOZDNyzmpZCigJpLpUZuUwvbcJge+z2DVgTEnp1IuUEjOKAMVcqm7Dh0mY8cxF8OJgbmlBjYU0mJJC8BIm54a4PznEg3ITEVkvJFABwaLaPZYpsAjjQQ5lsUoxmhMqcq6oE+OemovBOwkBJfng9+8DBASUBPlfwYXviCKfnvbsJUkLpV1U5rKVal65lsmbbKjfrSm7eGCpyRJcSZRkTwXqtBTSy6dIp7hBMs3/uYwA4DCm8fDDD+MHP/gB1q9fj3/7t3/D/vvvj5/+9Kc46KCD8L73vS9zPY7QjQLov0epFvBEai9J5nJUpBsSgUP18h4Nc5t6SZIh1ZhdTZCktiDCsBjQYtHpG39KU1I9E5ACzSnCywXJ1mV4CZ1oSqcI4ZDAGFf1+OqvSHTPAcqDBdvngXrJ8/JhYFkA8KVksBz3QtWyIcALSF2QbUMGa47a0+iZHKgMVqqpJKVNHUjUSNp8mycij2jQUSqIneadqKtaOAPlMjepZqckpBShfZZY3NXGRmL2QVm8Nj0arSNnzicvON8MoOwBjBHkwILE84O9yPUNwCv1iXRWDAUAzbkmTG7uwNveOQOLD+rAG39/KPYO+mgv5jCro4hZE5vh9e8G3bsBdHefIHM58EIz2vITUCxMQLlYwIDPhSqRIp8LzA2I/sIh7x+zqAuJQXx0SVBM4sBBWfDyFDO4F0SIgsMX0iDxQMJAPhaJm+yPImgggUmpprpXZbkkDaE0Wl5DaJhDWZeOq3ECQXYTBC8OBIHkixhhhqQak8io/5rElngk8rvk1ENZmDEQANQLTGwCswHxXqGNM9Q8yMwKgIwC6VESkTRB2PER0efgtx+VyoXMVbHj4Asl4MQLrhUd4YZln1ThKg2IWMt8CPU20SSNWj+J6FcoqQuljJLAe3o7aah0Okm1L2yYR10u11EUh25fwL//+7/j7LPPxplnnolnn30WAwMDgDBr+5d/+Rfcd999mesaNYSuVCrhy1/+Mu677z789a9/RUdHB5YsWYKvf/3rmDlzZuJ1V199Na655prIsXnz5uGVV15R3/v7+3HZZZfhzjvvxMDAAJYuXYqbb75ZRZQeKur9o5KbKhPefPIhyZ+QlFQRlZqLCI+y0ACZEqJSU0lIj1clIZPnU9JrSUgyp/+VgXGh2cjYEHGMkBudlxNJ2qOeanpEf87D3Jm+spfjSr3DhYSOEKCsTJDyQi0sbfYo4HsACxO4Q20c0l4vlAqCBLptZV9UIaOEzOXKGAskplTatoVzwkxlRD0P3C+Dy3AKlCJMOmUhHsKmi4nUV4GEImETUGpwEiF1lNpt7lQbQurGfF9tzh4JpFdhvkoeIUM5VgYb7Acv9YEM9IL0dgN7d6K0ZxdY93aU9+4FK5VR7g8WqFxTETPb2zC9dZLKLUz37sDg3r1gg2Uw34dXyCM3oQle20TQ9snw9utEob0TXqEV+WILSK4YqAQJ0xKyh/cZCEKZyBcBOfaItEgn2SKEjieuUSYGNDwXI0KCUOumEkqlq7+gGKCeBwY/UAcL+zboTjYaGJchWAi4H/7GEkm5DAROKThjKuAy9cK5FZUSh+PwiJD6C0mxblsnvbzfedTRMQcZ3QNa/+2HWSqimSmkFFV/6ZR2dESXEiIkDVbVJg/TvEVg8QLWw/DoBNg3ByPLy6q0FwV5HTHmv3kvY31JeVGOtDlElevu3btT668/GkHoxq/K9atf/SpuueUWnHPOObjzzjvV8fe+97346le/WlVdo4bQ9fb24plnnsFXvvIVHHnkkdi5cyc+97nP4dRTT8XTTz+deu3b3/52/Pa3v1Xfc7nosC655BLce++9uOuuu9DR0YGLLroIp512Gh599NEh9bluQYXNRUKQkbzBkEIDbhh2dNACDdtt2cJOa+721Fh0kqR0xq5G5RtulqHJv0lBePV+GR/GQ+mccoxAKLkgIu2STCJOAJQJkPPyQRorX0pYBpXHa0Rtqce5E5JBAoJ8LgdOeCQNVBphpcKAPghsK9+aw00RBqkjhCCXy4cSNEmoUxa1wMYO6vpKm4RHKTxKlepVdwoIb0C0PQquHG4CcuKLtwcWeg375WAcfgmk3I/cYB9Ybzf8ndsCErdjG3q7tqNn83bs2bgTA7sHsHfTXnRv7UFXv48dgz52l32UCEWeM7TnPHQWPbTmKCa1F9F+QFvwmT0VE/afguYZ05CbegDy+3UCE/YDihOEnWVe84TWQ+IQECJsPpXXN+zkQCfZ1BMWYlE7OFgkrEE4HwLP80LP8hT1t6qHBHPLZzz2G7U5LQBAzvPgi3pTpe/idx3MLS8eS0+L7xaOgwuJHJSNHRGq0Vj1euw6fS2wdMlG7nRvURtBivQtowTImhqMC0vbBG/XsI+hiYs5Tv08KlmkZCEiCTaSDg4AsHbtWhx33HGx4x0dHdi1a1dVdVVN6M4991ysWLHC2oGhoKOjAw888EDk2P/+3/8b73rXu7BhwwbMnj078dpcLpcYRbm7uxu33nor7rjjDpxwwgkAgFWrVuGwww7D448/XjFYcsNheeOTqjRCvXAhFEE9wwC/4WZlbg6JwX0lDSM0VQtQTUwlm2ovVp+ehlRfuI0QBTzyZm3PtRUxgZJrv1B/cvHmraQAwqMWyruzHEoEZftaku+gP8FXj4bxvLKoKlOlJynXABU1MrHy1WwONmN4a93qmRBNGmchc34pOOYPgpQGwAf7wHv2gPfsBtuzE/3bu9G7dRd2b9iOnX/dhf6d/Vi/sx9/2TuIwYhUJGivu8Twt74SAGBWTwnz9g7CF7leaSGHXHMRpNgM5PLwhDML8Txw3iQkSAzwciDSsxlU1R06gFjusGUjNomcKpdyv6VXqCqeVhbS/rD6eWKGR8lyTQwp5CPLS0KjQEySmYY0AqU/K8v/thfwtPiZ+ildC1NvD88xh8Drqs51jt97On36dKxbtw4HHnhg5PgjjzyCuXPnVlVX1YSuu7sbS5YswZw5c/CpT30K5557Lvbff/9qq8ncFiEEEydOTC336quvqkDHixYtwvXXX68I4Jo1a1AqlbBkyRJVfv78+Zg9ezZWr149coTOVP/ob6eA8EQFcjRqqUG15NsSnsiU46mQIpoqIxbTKWoPFI/jRCJlperThC61y0RkZNt6nlFuSRqv5RDVbYiYpm5VEjtEpXQi+BggPGI94oHmKMBEyBIaz6OpYuGJPlBhkwhBDPUNIHx7N4ZmDDXJtsVUvaJK8hyzy7JIIbhG7vUuWA3o1XUsekyfO8LQnvhlgPkg5f7Arm+wD7x/L/zu7YFkbnsXejdvx56/bcHOV7fhrbU78OctPdjUX0Kfn42y/q2vhL/1lfCO/jLm7x6EX2Jgg2W0+wxF5gPlEjzmB7EDCz6QLwYxAzkD91ggldXDWHC/osNPIrJel5FkS/WsqcLNgoqx7mJ9qizxDcoRJaVT34HoPdSLyzVIS/0FxGO52fINk8h5S1+q2dBj857FpXRKNckiKfDSfiPRMej1x38zDg71wvnnn4/Pfe5z+NGPfgRCCDZt2oTVq1fjsssuy5S/VUfVhO4///M/sW3bNvz0pz/Fj3/8Y6xcuRJLlizBihUr8OEPf7huMen6+/tx+eWX44wzzkB7e3tiuYULF+K2227DvHnzsHnzZlxzzTV4//vfjxdeeAFtbW3o6upCoVCIkcJp06ahq6srsd6BgQFlnAigYXYKsbdTtamGi2BO2dqIAyzqxUcROkVUevmPpNcB4mSP2POY2iAX9qpA9GBrcVsXneCl1c0EsfVlQSnCFKSO+RyMijh+Xj7wJNXze0birUTtcYiUiiRsvZmTdssx6mremuJR1UYEM/HsDGQOLAj3QvzBQFrn+0B5ALyvB7yvB6xnNwZ27kH/9t3o3bobu9/cgw07+rBeBBSuFi/sHkBr114U2wsothcDm7qmgkrVRgtNoG3Re6GIkshAIp1F7PnaarhRkfL2e5815lhmKVul8zYhnBmkN1bAICUxrwq7yYUMzCuh//aTXujM30dEjVmr3XE1vx9TumqR1FXkxrX0s46SztHowaocaepc53jFFVdcAcYYFi9ejN7eXhx33HEoFov44he/iE9/+tNV1VXTzOvs7MSll16KP/3pT3jiiSdwyCGH4Oyzz8bMmTNxySWX4NVXX61Yx+23347W1lb1efjhh9W5UqmEj33sY+Cc4/vf/35qPSeddBJOP/10LFiwAEuXLsV9992HXbt24Re/+EUtQ1O4/vrrVay9jo4OzJo1a0j1RWCqWTWDcyJUXIQJiYhfAmG+iruVo2Gick/EoQvzR4Zef6qpiHEuiZIm7WOTzlWz0elJuBOHbUoDs9yqjGV8FuYZLbEgcbz+YcQD8/KRMCUqcLFmOC0h7RKlKlX/oFqpSR0WeC6lpRXuXdLCKD3m7JVHpcPm8dApggG+H4QkKZeCz2A/+GC/cn4o95VR6i+ju5S+4HfOOwg0l+xw0l1iKPWUUOoZhN8/iHJP0A4f6FdtS1WwnhVE9jPSZ9vYsiLrPE1VywZ/KUl2ZsmCitdrv/XE/thsZY1jldTGYX+SbegiOVv16/UvGUhBlnWiUhmrM0ja78F2vgYCs8+mA9N/W/X8jFMQQvClL30JO3bswAsvvIDHH38c27ZtQ0dHBw466KCq6hrSjNu8eTMeeOABPPDAA/A8D8uWLcOf//xnHH744bjhhhtSrz311FPx3HPPqc+xxx4LaGTujTfewAMPPJAqnbNh4sSJOPTQQ7Fu3TpA6KcHBwdjxoVbtmxJtLsDgCuvvBLd3d3q87e//a2qflQFUyoiNyVtw6LcF44PCP+KD9EW0TBmnBmig8YWfElmeIzY0Zi0IUlaFk0YX+PwM24gJhi0rBHiNqrk8VySPBGrThI7iFRiwh4LBpmTXn5UxfbT7218s0IWFRjq+9ZeqV65GemfCCrYIVkTyGskP/K8ZBw1j4IW8qAFD/mmHJrNVAIaChOa4RUKKLa1JpZp9ghowYOX10wO/CBeHGdZXXIyIOEFJ8lBSIeVYCdcE7VxJTV9kuqLjcfoX8Wx28pbrlMOIAnELo3IZSayFhV22hiy3HskkDok/FaqkhaZbdr6sK8SO4chYWBgAFdeeSWOPfZYvPe978V9992Hww8/HC+++CLmzZuH//W//hcuueSSquqsWuVaKpXwy1/+EqtWrcL/+3//DwsWLMDnP/95fPKTn1Tk6z/+4z/wD//wD6mdaWtrQ1tbW+SYJHOvvvoqfv/732Py5MnVdg979+7F+vXrcfbZZwMAjjnmGOTzeTz44INYvnw5ILxKNmzYgEWLFiXWUywWUSwWq26/apgLTUSqEIZNIIQCLEhjBBYkIpe5CIm20KY2JbNEEC8usZAbtSXhdZIHnkSVNt4xxG1gZFLt0Js2DJdCgswQsTAPUOnIOAIiJ/VCjBB4hIOTQCtr5meMaZ3Edz01VNI9yOwNh1G0sBtqYJtaOCJIUfOGgnuBSpMUmoKPUIPmmoooTmzFhKl9KO0dxEE7+7Gpv4wdg3HylWsKflf5piL6LN3rLHqYPakZHQe0oWlyGwrtLYHKNS8+uXyQtk1LEWe+tFQcfxXILGmpJCmqYLdVsfqE+RWz2cyg5o/95iInk8ehh2rJ8rO3/T6shEnvs27bZ/NkrdTnLOSxGs/TiraI8Xr2WemcRL1VpONQ43rVVVfhBz/4AZYsWYLHHnsMp59+Oj71qU/h8ccfx7/+67/i9NNPh5eQ4jAJVRO6GTNmgDGGM844A08++aQ1kewHP/jBio4MJkqlEv77f//veOaZZ/CrX/0Kvu8rG7dJkyahUCgAABYvXoyPfvSjuOiiiwAAX/jCF3DKKadgzpw52LRpE1auXAnP83DGGWcAwnt2xYoVuPTSSzFp0iS0t7fj4osvxqJFi4bsEDEU+4Z4sFlN/ap7EJEworvcVKnwSOAyQGna2zrhmm0cwCEdA6IbOtc3xIgkz+5tmoak/mSyu5B2LiTougrDIpwfgvhfgG5nL83huCJeRF0PAB4CAszF//KeqdAvWvJ2GfSXM194GQeR2HVyF+uyCDYq479lWco554qMZ/WOrfYaWR4pqrqoTSUD5yJTgAjgC0CkYtNtLIOYYXSCDzbYD5TLyHGgJZ9DfkITCm0TUOwoovDcFnRt68Wj26O0zRN2tl4xbm87symH98zdD9PfORUdB01Hy/RJKLRPAJ3QDt7SATS1gDZPAM83g+eLgQrdywdx7fS5yzmYCGVDCDJJfqq+v0YcxixPMa0Nm7mfeobBmcR+RbIIaEGxZWy8eHlj7GIs+ji4QcbCgMHB8SwvOfr1qMZWynTYyIpq1uRKpC5hvbLZtJrn92k0IrAwxp/K9a677sJPfvITnHrqqXjhhRewYMEClMtl/OlPf6o6YoJE1YTuhhtuwOmnn46mpqbEMhMnTsRrr71WVb0bN27EL3/5SwCIkcTf//73OP744wEA69evx1tvvaXOvfnmmzjjjDOwfft2dHZ24n3vex8ef/xxdHZ2RvpMKcXy5csjgYVHMyLeWUpqF6RUoiLPaRAxXpSPVRB9u1Wbs3T40opGyJyyKdPs8OQGmbIWR2KkaY4FMZgBQ6VNi3pJkyl5qFIfeyTYoCAcFz1CAJreH66ivsv+RAP3cmkjpwV2JSJHJysHYTTg+6CeB+ppoU1i7XBwzsKNnXOQhLys+jW+7yuyTGUy+BT4vh/xJvQytqG+i7hpCnI+iHlGOANjQZJ2cCkBJqDCi5SI7A3wcuCMgXiF4H+SAwoTgLbJyJUGUCz3o/WQHkx6xzZMWbAFh2zfjUOe2YA1a7rwwu7AyUjazhFjzB+Zux/mHDcLkw6bg9ZZ0+B1TAZpmgDfK4AVmkGaWsBbO8DzhSAeXa4InisELyRSSifHzvyQzHIeSLZtm634Hrm/PMiXmvX+cs12Va/dJC+MBfcYCGLkUUpVGi9YphfnHMwPs1Fw8dyTnJZkXmAZe5CINGHULG8QmWDsTM3HtLmlSxkrqVFjku8EMhdz1FJ9TFg/zMq5LWWG3SPcqg2wXVeBsJiZYGqRdjqMb7z55ps45phjAADveMc7UCwWcckll9RM5lALoZOqzHrjwAMPrBjPDABef/31yHc9snISmpqacNNNN+Gmm24aUh/riUpveZALBdOkdABkMlIZNiQkQgltkIAIRhYWimg8NoQqVtPbNO2RmMI729KlhCO2uEWGulmNhQdSBUK9QK0so87zUEonpXfQ81wilNLJzUblXUUYr06FXdCi10swmQOWByGMuc/UBiq3a11yoSQu2o1Ii13HCQnyv2rnZTgLRYb1ukScP4boJuZzHgQLTnhAzMwSokmGIpBqdRD4YGG6EeE0HGQz8MI5Jl8SOAcvt8JvmgjSVgKVDj2EwEOQRaK5NADCypi1ZweO3t6F0ubXsfXpV7D+sbfwJnKYs18HDjx1FqYeOx9ex2TkOveHt18neGECeL4I0Bx8UBDGAgkp9VCmeTBK4OWLgsSRmJMNK5fBqX5/g+waSbHWlLzauL+5lIWVGTHN5P3lOkGzEDr9HPf9II6jTaLFObgg1zo456CS4Fmu09vgwjyBmM9dl1Ja5hZjLEL+Ced45pln9F7IM9p32//hdzMPaXRQkTe6wINd1MHC1zzr//K7eV3YeUt3E2DGqbMGjjeHaq0ovR1bu1mQlMu1p6enugaHjIQMHkPBOHSK8H1faR4h4um2tibbFWfBqMkUMd6RheAFBZlmYxbGtooUCYzuApWjVKXpdlGmDRUQIXEqFhwR6ZA02KRiMY6QpHZN8kA0rtUliJR48Gi4gTJwwTTCjBkesa/ZXBYVb/AMwf9Msz/U1a+eEj8wtVpzbo9lpfprMaJOejHhGslMQzWqfG4hgYllOU+W7gAiaXqIIJ97TvwvN5LgnM84yjSHEi/Az4UOKoRScFD4nGMwFziodNMS3sqX8FqxF4+V3sLmlreA7k0oTNofk+dOxnsOnIJJzQXMaCtiSkseTTmKghd4c1M1T4L4gDIbR97zVIDecK4E//kUsd2WJ2RAAADOuOXFJT0LjCyeVYMYSv8M28VKz84MV8PTCYf5+yREzBFLbESuBQWvzqrCvC8k9n9IPgy1cqIhYPivScpsuWVMUmfCSu54AsETx1Xf9O/xIUSHmnbewSEFnHOcd955yla/v78fn/3sZzFhwoRIubvvvjtznY7QDRFDjp9DhB5R/44UEb4F+vqkS6cgMkIQhKpW2IijHq5AD20ikEXVKqETOeV1qxKAa5uajdBJwkRzitRRL+gTo4KACXUrWOD8QCyOCzZnBxmqDtqazXjgxRq9FSJtkiB11GSmhmrIJomLqbgs5xljkSTm2WziZJvx8iaxMzN4cEJiZC46dUkkETzEfOBMS78miBwDMOhzDJYZ+gbL2NVfRn+ZocwYBhhBb4lhW+8g3nirF9v29OMvf92JN/70Enb89U8AgAOmTcTE1mb0vvEX/PG/3sJ/iPYOet+pmDVvChbMmoi5UydgSksBLXmKZhqE62nJe2grevA8D005goIXen0HLxGhJIprk1ZOmSQQQpRZgURO5DBNeiyUUpTLUYePtGcY5tbNVj7pfNa5perQ6rGSKYttqG1uRchOFnB7e9H1Un8xMtcCKY0Lv4c5ZrVzWhv6naGW/gYvZbbm5Rshjy4QitkZgzbvQeo9yfC7zvgCl5TLddhjuDXChm4cxqE799xzI9/POuusIdfpCN1ogHoTFKyL0lBFaS7ghvepuT7pNmEgJFAT6oFGE4KO2iLD67+xSgGEaYYNCraFW1cN6jlNNVsWmQItkKwF0hQuvlPOwUg2mx4I1ZrpNySJXSDAogAn4Cwady5xPMI2TW6ilNptr/RFW27KjIUJ1DO14QcyCUpJ4sYuF3nVhjjuaf0y105FhGmQP1dKZSUpZDxwQuGco8SCv2XGMeAD3YMcuwbK2DPgo9/nGPA5dvQM4o3tvVj7t13Yu6sfG19aq8gcAPi+sCPzo3Ph9cfuBWPLUC752DtQxtzOCdivpYDmHMWEHMGAH0gYmxV5Cz2ZPUoEaRe/AkKFDZ1IWC/VlQnPk1IqbCGFer8Cccr63GNtQHOKaFAbUGr/ygRQtsGZSDeYMPajjz5a1JtanVG38T0hrltajt3MjVrJatJvZOh2bTZtirXeDG0NldA1Kuh9IhpC6MafynXVqlV1r9MRuhpgta2oqgIaMUbXj0VIHUICZxKuJLIV2pWFpA4ktDIBaKg+NPuk2SNJdUPSUkpT/JIqSpykdI4Zthg+Uw4apjYjRz34LGo4F9jwiZyr4Nb+2Igm10QvcnNV46QUhBQCe7CkRcYipavWvTwwVs9enhACLyUQb6R7ctH3vBh5jc6b0Ngewo4OhIAIhxP54Twaz8/nwECZY89gGbsGfOzoZ9jeW8KOvYPY3N2PN97qwfbNe7Bl3evYs3k9BvbsiPShLIjcoCHh4szHG4/9F3re+jvsOfQgvDGjDXOntmJGRxMmtRYwiQGE+hj0ATTlArs/EWQ7p2VMkYpYKV3lCJ9vkmdmQN7j9zdNSlftcyeEgHi5qkJmRNrIcI1O4rIuUUG/ouNIGrdpN2s7bz2ehczVQuRsZSOmE/H7JtusldglrQupzhEODsMAR+hGGFwjW+p/lUw+3baNa2ROEhP5XdqFURCAegAPPGSVkVrMKYJYiaMNpjov4tln/K8cIsyo4MwewFZ6uCoyp53PKU9dYSsliJxO7OS90PsKRTJThxW1oyNJib8EqoljNUqQSua0e8eMPLrR4MxBJo7+MkNvycdA2Ud/maG7txQhc9te34S3/vKUtR/9g4HjyWDJHiD4rb88Ba/QHDnmUYImj6JZXJP3CDySA5XTwQ+kdAHRDx1fqGErmcU+3pTipZE6CatDZkJO36rmTQ1zrNp3TRtJS6vD0Hymlk8Lal0zmUsgapFrI16wcbtFs/2qsk2MeziV62iFI3R1QOLCnYYEKVnMxlZPy6V5nuobLpSNWNgH3dhfSeoEUQyldUZ/DNikGXoOxwiRIynx8GzDV+ROs6tTfWAgflnl49SdOXI0pzZcyjl8TUKnNqaU3aiSajh0KOH2ZzRGUS2ZU9/Feekm4nOZnSMoW2IcJcaUPd1AXwn9vSX07UzOk9zbNwgOYG/fQGKZvl1d6O+ZjP6+Evb2l9A3WECJcTDO1V9f9M8XalLPolK3kTo59mp4jzUyxj5kDF/LWCqS3Hpv0kmqWRsZS2LhCS9ijrBlR0NyuY7DOHSNgCN0IwnpjKA2F6ES1c4pyZyIs8VEkmxJ5vQN2Oeax58RQFe3qUvazPScpkNZiyW5Mx0iiCadCxoM3/TkOWW4TAL7MhU/SpNmUppDnpJgvEJ6xElI7JCgDs5q5wedpNeB1I3GBNuVUMlmUoJq+YR1mCo8HT5j+Oubb6F/oJRYhhgetx4NgyNLRxYlTNX6bHovEyOsjf5/0nis/Rl7j3BEYSVzjVC1pqFKUufgMNbhCF2dUMumrRY9XTIXMJfIYiTJnFS1+poqDIk2dJVJXTXQJXMw1K46ScospTMXd53YSXUnAwgJgxMQeZ84A6U5EGFXR71A1SyJXVCP1pQRh8uMPVcRSTaH+zCo5nQip6NHAq9S4nEUOUULo+gve+jLe2htyqGjpYDtEwpoaS2gZfL+6H1rE8r9e63196WQuVxTK1om74/mtgKamvPoaC6gtSmHlryHlryHYo6i6HmiP0QF9KUkJO3VpqNLc6hxZK46VCJzlStIMNRrZNaIOqAW+7mx+LIXy2ZUD9S7vnEKR+hGEJEglpqzgiJ2MnSECKFgkjkzzASkYbtGwCSpi+VKH4LkSQXmHQpJAqIZI2AheULdLB0krM4SQmpJEBI7rsXmC6SdhvRI73NNuqb6ea6NRsh7rDyLwdVDL3iBZDRYOXLwGZT602fBp1xmgQcvfTf6dnZh1+svZG67qaMT+809ElP2n4SJnRMwZ8oEHDCpGVNbi9ivOY+OphyKnofmfBCrLk+DeHUejZM5/TnD+F9/Oo2UytVkjjGGUdNYrS9M1accjF2f1l4d4RwhHEYLHKEbJVCSJUSj3kv1p6+pWXUyZ1IyGUVez4ggA+9GpHQV1ImEiOCduvODqI9bJHZDG7zhHKETO6khASLOElxuHtQDJVTEjwtSfCn1q2ZfGLlHSmVHIt+HPIwxQuL0gNTcIOgUXGRWCOARqPvpEWFLxwlyjCNPOXI0j7wgVk0eRWtTDhOb83ijvYiuSc0Y6JuKvQcfir27etC/swsDe3ZgsHc3WGkQNF9AoaUdxbZJyDW1onniJLRPakbrxCZMn9yCOZMnYP9JzehsKWBySwGTmvOYUPCQp0QFHpZEzgwyHI41+Gsjekggc2PkMY4q1Ccep4XUSVSqP8tDqya2Zz1IWt2Jo/FimpIxpKHgDXBiGD/vPA2FI3QjhKTfg5n3QXqz+izqfegnRHhn4nLKo6E5rFK6BJhhWaSkRqlYNSJQVySRS3mKcI3MsSDvLCDSmwUqWUJJhNjBUL+a0Dd5KuOuiZRLRMb+0lcbyyLNhYQKkjhUiEfCA3FrkCpKlK8kKVT9ytgGRAon+cxkG2Ew4zip8xkHY764wbZ+hXOgyANJXZPH0EQp2vIFTGrOYXJLATPamnDotFbs7CsJZ4nAM7W5cBQ6WvJozVEUKTDIgb0lhl29QTmfcRRyFM0FD/s159HelMek5jxaCxTteQ9NOaApT5CjFB4lmi1d/N75IgcqA4J8vBXJXPT+ZolBaLu/NqjfksjlKl9KGvHcVQqyDP2qtQ0dtRI5a2ac1ByrjZGko17krYZ2a6paI3FDDp9VMxrg5eqcIuoCR+hGAZJiY+merGakfs7tkifdDtg0AM+09GoGw7qUTtlUaRKcLPVxGQePiLAsEWcPHo29Z+uLgGpPSOu4lwNYOeIsocK70MC+iltSg5kwl8NgYwuir3POwDhLjQMWBNllke8E8cTz0WGxIE9ncAEYY8jlcomLs54IXrWhBQ+2gYk2ZJ2+76uk6zqpgz7/ONOyaXBQzpDzcqHzgUzlJFTlnPkoE4b25jwGGdBfZpjakscgDzJJyGpzlKC9QDGl2QPdug6lrtfBdneDtLQhP3Mu+NRD0FPm2Nnvo6/M1BwueAQFAhQpR9EjKHoE8EvwCAWlXiTETphWDSj7fmAlqrwlfIB4QkpnSDlI9P4SEaybUBp7hpH8u4KcSej3Nwm+Fgg8mMssNY6dObegvTRExqCtH0yfWzIvaz6f2obv+yFREMfMuRXN5RpXJdemWtaNJ/SAMno9WVcaE0nXRUn8SOftqjao8OjI5eowWuEI3RBRyxuSmaoKlqVHDyVhqlh5iv2cJHWMxDMixDsS9zoL7fhobGxppM52FyJx3SIVUcAP2yM8mhkisY8mqVPEU3oGc5k5TR2XEjukEGdEpDXRVDoV865azjPOE++9SrpuqUf1wKYGNNqptMUpaaq2AagMBUb1VEjeZColQuR1HJT7ICwMMUNYOfi/PAgM9iHnlwQxyaNYmADSNAGk0AxfZG8gzAft3YncjjfRv+b3eOG+l/DEi9uxbdBHZ8HDwgWdOGzpYWib/TZ0zHkH/NZOsEKLuh6D/WD9e0H7+0DKA8HcIRS00ASeKwBeAZzmApIjbC49BC8gOsmjmsTNlsHAvL+MsRipiZRhLE5gGAMSCJouNVPFEXqCx8oTYp2vrBIJtBmXMxYQeQsR5BlzEdtyBptSoix5WqPQ87FGJcGIrC0kleLZ1iEurksDBVXt2/LF1oQqq6mGBNsyRYwI0oKu14jxZGfaSDhCN0TU+4elS92kZA7aIptE5oYCYhA7ndSBECWl01tUdleZGqChRE7LfEEIEzkfLeoXG0zip2XXIFwszZxEyZ4Q98hN3dwkdYmN/TFW/2yzpAtLe37mnKrHYkcMT99of8K/RAY55AwEXJC5QJJKWBlg5YAglAdA/AH4/X1AeQAkV4Tnl0B4GcQfgEcoUB4E8Uvweraj9PrL2PrMK3j5z1uwrRw0uG3Qx9oX38KUzpcxeaAfzU0T4LEySFMHvFwhCGMz2A/SvxcY7AP8MuDlAkkYDTd9wpnwBOcghEFMq2D+QiOpluETY14rb2ua/jqU9AyT1oPU2IcWaVdau7X0CwnzaKgrV6a1zyyiCcYo13Thw7GnG+wv0j4szHCUYHQ517jUX6MVjtDVAH0RqweZkz9TM8CrPCcDuwJRMqf/BLJYbUR6qocJAeKSsARSZ9rTJSEM6KrFkNPVrpQCnIYGbmn2M0CcuEH8zwCgDNBcJAlG1EuWqt3cS4ixJx8jpRTc91UfsuTCJLpELMOmSymNqFBtdk6RxVvk/dSlL1mStOttEBHaI8l4U9KjwIYuIHMeCYwyCWcBkfPLIH4JhJVByv3AQA/Ku3fC7+0J1NzNLci3toLkigEZ69sD1teDgc2vY8ezL2LDQ6/iqb/sxH5z9g/i1HGOp/6yAbOwE31bd2J/n6F40DzkpkwHaW4L5kR5AIN796A8MBBIApuaQYr54HkJqSH3GIgnbCoJDUKtcGGPSmhgQ2fLjqLfG4KICrWSfWjseWm2Z0mkjlIabUN7hkkkMBIeqE5zK60Ns18SMpdr1WrWNOm77EPaZl7LRj9StnNVtB32obr9w6ZyHfZcrg6jFo7QjRKYWR9g2NDFtDtV1h96+4WLQiT1loqJR7RsEqGkg4MoCZepejWhx31jnINQIkiVRUpHEea1rXJMsp+Bw4QgqOo7VUFcAimOttimLKIeIeCeBw4vyOeqxFfJZMCj1JpuLAlmDtAsoVM8GlWB160NbcP0iODZPNgsKHhgf8bKIH4ZYD6IPxiQu3IJGOxHrjwQkDvmg7IBsFJfUG15EGzPLrCe3ejZsBG7X9+Mni098Hv7sPWVvyLfXER5YBDE99GzhaLYXsSEv/wN+3kUvL8HtG0iSKEJYAy0PIjc4GDg0cw8wBdp7MqDkeDc4AyE5oIXBiWS40EUej0vsfksOYsRHyJ+B6nPPeX+2kidakNIjbM+Q1u8x0rXJPXLBr2NpGus0r0sZA52UlZ3Epd0fQrBMvtQF4LXoKDFI6piNcGdhG60whG6UQYbmTOlc5WmPiGhLEJ/q1fqRc7sZC4ixdAIkqaC0kOZ6GEu9P7H8mdyySQDAhcxhfbLKr0X5zTet6yw2dpBI3UR9WxcvUWMDY0AgCVZexKqjWdXS/y7urVhy5+LkCATmc5ez+yhqVyJdIoAQHJ50EIBvFQC933wvh6gPAjW3wu2ZyfKvf0Y2LUXgz0l0IKHA1sKWN8ziMGegPgdPKEAWvDgD/oY3NOD/u3doPlcQB4LTUCuAOJ5oLkckMuDSlUoD1XBsm8cOUXsKaFB1hAjd6eaB428v5WuaXA7wzG3KiLl95tI5hqxqVfK+6pBzY9RhtGjanUY7XCEbgho1FsTR9yDNS3mW9ISFKTfCv4nmnTOlkdV39TD9FshIQLXpFs8GofOjElnkjoE8i6AemH2B6EiVW0iJ1R7Mhhwdru6oAXTgJ3FSB0Ql9KMi8Uyy+aapOZWBNsiocnlwXP5gHghML7npUHwcgl8oA9+/yDKfQPgPoOXp2iZ3Ix5ewbR7BH0+RzNHsHsljxaJjejMCHwxGSlMvz+QZBCDyj1ghcJzwNyeZBcPvibL0TUeIQzcC5U8OYGrl5SNJX9KNy09ymMFjJn1j8cpG48zC3OAsl9vet0GDIcoRvF0KVxEQKlqVyVJE7YAREt/RHRjitvOp3MGXlUJaLkR7SmNkovpnq1e3rK/llInUa4FKkjZXCp6hW5phKlKfqiKVS3YCzKbCM2eTy+oddRNTKq1CFDQRq51VTPHAhsFj0WkCt5+WB/+Hw9D8Sj8Ap5eE0FNO03AW0zy6AeRevuAZT6y8g35QJV67QWFNuLKLRNAM3nQDwa5oKlIZkjhSaQYnMQTkSpVSur0WNDGSZSt8/Mi2owGslcFXBkPwMSPPWHVKVL/VUXOEI3BDRysdZzaTLjmAoxEVGnRsmclM7JlFyEyFALmtdiRO1qsXPRSF0oyQmdJHwLAbCFX9FJHeGARz2ACzWrsCki0KSDfjlon7OA3MGw8VMd1BZfSu0ELY24NcjeZdQha5o3YqRbUjHeqPIkJUBgQ+d54CiAFAPSRTwPnHpgtF/Y3fnwmksgHkVxYisAwGsqonlyD0o9A+AssK3MTyii0D4BuaYCihNbUZzYBq+5JSBvhSaQYhOo+ItcASRfDEillw9iEdKclutYEr06PdPxMDfqiVqJ2RDSEFbVRgU4yZzDWIcjdENArW/gct/Uw2iYjgYmMQqv0RWIUWcHncxJ6RzRYl2FqlYW+R8wFmM9uLAyONfs74SThC0agYRSuwLwubxXgoAyHvTJy4MwX0hMSGA3pYUj4TxMAm17u1cLMI1K7BLBLWq3Kmxs0jDqpTGVNk3jfMRJhVKlEpfq8OBTFhMvJ9ShBdBcPsg9nC8E38uDoE0tKLRPQMvU/VDq6QMrlVU7XlMBuaYiiEeRa2kCndAO0jQBtHkCSFNLKJXLF8FpLqjbIHKQQYZpSOjU8yU0Jr2ruHGPoc15nzEZaBSpc0Su/mANULk6CV1dMKpm43nnnRdJu0MIwYknnljxuptuugkHHnggmpqasHDhQjz55JOR8/39/bjwwgsxefJktLa2Yvny5diyZUsDR5IdlMSJkSRkMnk8hSRrwcejwTlPc+aTZM4T13pUU7WqEA8iOKxO5nTDd/0TI388vFYTlNnCO0h1K+PhRxI7nwWBkmUyd049MC8fbM5ePpC80GDDBs0BXvDhlg9odBOHvolLjMcFNwkW6RU375VUY+oSL6o/gzx4rgiebwbPt4AVW8GLE8CLE4CmNtDWiaAdk0HbJ8HbrxPe5BnITT0AhQPmounAg9F22GHoeMfh6tN66Dw0HXgwmuYcjNyMg+B17g9vv07Q9kmgbfuBtk4EmtrAC83gxQlBe/kW8FwxnC9ijsAmqTO8lK2bN7HMoTpgVBP8EUAmIj3UZ1DFs+SEVkfmzLrH69oibejq+RlFavexjFEnoTvxxBOxatUq9b1YLKaW//nPf45LL70Ut9xyCxYuXIgbb7wRS5cuxdq1azF16lQAwCWXXIJ7770Xd911Fzo6OnDRRRfhtNNOw6OPPtrw8SQhpt0yVapES91FCBgPMj8oezVd86hJ5ahGtJQjhJR8RWzoNOkci0b+ttqk6YF8OVO2dL4MUWKGXDEkBz4P++mzUFrHmciZSjxQGfuO0EA6Z1MNp97UlE07w3VqqFWEIIlcw3lUWmgrJ+NH1dpGlR6J1msM6WQYhJmBa4p2Ijc83dZSOplqkl1WLoN4RRDuBzHqCoMgTW2gMquEEUZCfz7WZyulb54HJjJBcOIFKt9cLjoG85nrYUyCjoJICZ4Oyxyp5zNJJHOMqfNDbSNJOpdlHGb/ZMaIIXm7ZpCy6XOtYl11xlDXBYexiddffx3XXXcdfve736GrqwszZ87EWWedhS996UsoFAqJ1x1//PH4wx/+EDl2wQUX4JZbbhmGXteGUUfoisUipk+fnrn8d77zHZx//vn41Kc+BQC45ZZbcO+99+JHP/oRrrjiCnR3d+PWW2/FHXfcgRNOOAEAsGrVKhx22GF4/PHH8e53v7thY6kEU/WqkzoIhwIIkqTykdpiRIm/SqKnSelSVa2mOlNu3NC+0tDjNGJPx+1qV2gbSmzJFvH0CCEiNhxXmlyPylRIgWdjSEJJEM5E6x8SNoSYtEm/0bBs/hYwzuFr4n/PyOlp20R93w83UZEHM21jZACYEfy1UqBgM3dopbyhXI5DkgFK4ZltGPfBZwyMBa4qhHN4nhyHJzyRvcg1DCTIHUoZwH143AflPqhfinrCCUkZzxXAvCJ8BPZ2hPmg8OH5QdBgIq+DcIYgFDxXgA8PPqFBGBkxDkJI3ENXPl8xdplMjfLKgZhrub+MsQjZorn05ZQzFnnunudVfAGQc0uSrUpzy8z7q8+tJJJpjj1XoY1UmKYMSf1M+Q3WklZKzzYzVojbWJXgcsaD4Ov1rLPO9el45ZVXwBjDD37wAxxyyCF44YUXcP7556Onpwff/va3U689//zzce2116rvLS0tDetnPTDqCN1DDz2EqVOnYr/99sMJJ5yAr371q5g8ebK17ODgINasWYMrr7xSHaOUYsmSJVi9ejUAYM2aNSiVSliyZIkqM3/+fMyePRurV69OJHQDAwMYGBhQ39OicQ/FfiqJ1AFxaZ3eQsRD1ELm9JhzwV8e/a76nm5Dp383vQNJKMwJJG/WIMPRsTJAOHqQiOcuUaFQeJBXUThOREgo8VSFiZZDMUkMsR9PKM98P0KafcaQMyL6x5KhGzk+K0lfmGEvwkSuzaRrmEjsLvtFBJlIy+nJNDIHQSbS+qWykygJF0OZIxx7zLOYwPcZypwH0lqaA7jIMuHlA8cJjWhxrwCeK6K3zDFQ9uGXGDxKUPQKaC4WQbkPlAc0CXCg6mXEgw8KRrzA3pQDjBPkvXB+xImpr7JEQLwQpUmfJDkz719qzlRNysrlCwpjEfIfeybGpuX7PnKWHKt6H/Rcq7LNLHNL1ulXkOraxu5zjpxR/plnnklss/EwV7sR6oUlRZueuSENsXy5VXllR7ND6P9zQtDT01PVOMYbTjzxxIjp1ty5c7F27Vp8//vfr0joWlpaqhIwjTRGFaE78cQTcdppp+Gggw7C+vXr8c///M846aSTsHr1auvi+tZbb8H3fUybNi1yfNq0aXjllVcAAF1dXSgUCpg4cWKsTFdXV2Jfrr/+elxzzTWZ+16LcbIKaivVpGLR0h0lwk1cu86iUtHjzUm7Oat0DlDSuRiZ00gD9CwMnrFx6gQrAUwjcypGnSBtPoLgtVJaB/HWJ6WKXHjDUkKCOGTcUPtBc9KohEo2YwayLLSVUh5VSovGDXKW1IaCseFyYTiZ1g9JMnQwI3dtpDyizjYgXvCyoeU0DfIIB8+NMY5SmWGwzJRpgEcJCrkCijlPSZch6u0vM/T2M+zpL2FXfwn9ZYamHMXEpjzaijkUcjk0FwrI0XBMDASDZT8ggMzX2uEoc4K8F2QgUXaisp8sHnybpgT05TYVpOZMZANLuCZx9qQYfScFuiYamVPnM8ytashC1pzQVb2wyiq1F74sYFphCqJ9z952Dflmqmoi9syzqs0zZt9Iu1YXHMj/R8QpRtPu1K/OYBym4KRYLFY0u6oF3d3dmDRpUsVyt99+O/7v//2/mD59Ok455RR85StfGdVSuhEjdLfffjsuuOAC9f3+++/HJz7xCfX9iCOOwIIFC3DwwQfjoYcewuLFi4e1f1deeSUuvfRS9X337t2YNWtWXduIve1J9aORb5RxkVdTKxupR/zVN7ZYzDl1cVIsqFBlGNv4LPZzEpQEBMwmnYPFpk7a0oEHnEzSDqWKTSB2kmDAUL9mUc8kGsLHysXzWqbZICVJfapJoC6fJU8hHFY1u35dhTbS+hUWCe63fgkFga9FjOYI7B8ZD57jgA+UfA5fPIK8x8EIBTMCOZcYw0CZo6fE0LV3ENt7B9Bb8tGS99BfDhxjCoyhxICCR9Rc5+AY9DkGywxlMY09CngI5gkX6co8Gn3hYSBgRlxFW9SbNNTr/urnsswtM2NJUr9MqH4GudsS+5GlvqypvyqiqktEnEp1IRfmmkmsUC+rf2fGuaxMrZq+1g9ZCGElCd2wg/MGeLn62LNnDzo6OiKHV65ciauvvrquTa1btw7f+973KkrnPvnJT2LOnDmYOXMmnn/+eVx++eVYu3Yt7r777rr2p54YMUJ36qmnYuHCher7/vvvHyszd+5cTJkyBevWrbMSuilTpsDzvJjH6pYtW5SYdPr06RgcHMSuXbsiUjq9jA1Z3gzq+WMyF0y9ZmK4ktrW1giRA6ISuSTjcyQQvDRSJ87rdnS2Pkers0sZGEii1C50lhBevAQhuUOYikwRvKSx6EixlZHPUiZQ55rNUto1RF4jnCKoYXNng62NSmTA8zx1TaXysg1o6lzbNeZLA6VBG8rRhYZyNpl2zhdey77aWCh8BIs7hYcSQxh0WlxcZhz9PkNfiWGAcQz4HCWfY5By9DOOvlKQ6YESBp8T5ClRbfocCCztfIDIlF4UXHhMy4akuYG4YYEHI2dCykvV1m6aANjub6XnHru/wkYxyzOppg1ZJpTYZ+vXUOcWtZDCo48+OrXdCKq0gavFZi6x6Vrt4UbAji7r/lGJ0KWZA40ltLW1YePGjZFjaXvwFVdcgW984xupdb788suYP3+++r5x40aceOKJOP3003H++eenXvuZz3xG/X/EEUdgxowZWLx4MdavX4+DDz44w4iGHyNG6Nra2tDW1pZa5s0338T27dsxY8YM6/lCoYBjjjkGDz74ID7ykY8AYoF98MEHcdFFFwEAjjnmGOTzeTz44INYvnw5AGDt2rXYsGEDFi1aVPdxVYWMCxkxCByxBtCN1hlJ75Ul/pjpdqvaZpG0WjY7OqKkbumvuTYnCap7wAJgxGJjp8Ww49IDk0vpoKZuIzILRfbX7Zi000hungWUUnWHMr1x19BGzf2yEADz9kRy83pe8BxEqJlQcMvDEDScaxIvAs+TnqdBeV9IbKWKtsyAsh/8n/c8NBfyyOVyyNPAFo5xDp9zDPph/5TmnweTjNKcaE/YYnJt7kUykgQdoZQEXtPGOHWVs95OPe+vDZL8D2VuZcFwzS0raiBm9SRzsKxPlS8YnjA1Q7GhG3XgDLxBqb/a29szX3LZZZfhvPPOSy0zd+5c9f+mTZvwwQ9+EO95z3vwwx/+sOouSgHUunXrHKGrhL179+Kaa67B8uXLMX36dKxfvx7/83/+TxxyyCFYunSpKrd48WJ89KMfVYTt0ksvxbnnnotjjz0W73rXu3DjjTeip6dHeb12dHRgxYoVuPTSSzFp0iS0t7fj4osvxqJFi0bUwzXVYzNjAFjbwpWam7MSbCo5i3OE+j+mfg3jzVEAST95Xf2lsmDIvK+aKpZroU5MYgehkiOQtnm6/dfwL5ZjZYGuSXPG7cGuIVTjeiJf6dTCOFc5iZV/NCEoehQdTXmUfIa8R1H0qHp2jCNQ39JQ1S4dhaQa1qMkRnBkOxTVh92oVhU7FIyYzVOVGK4+1pvMoVoJXY1krpbferVOEKN6PQmMaOtbZw31dXZ2orOzM1PZjRs34oMf/CCOOeYYrFq1KvOLmI7nnnsOABIFTKMBo4bQeZ6H559/Hj/+8Y+xa9cuzJw5Ex/60Idw3XXXRcSu69evx1tvvaW+f/zjH8e2bdtw1VVXoaurC+985zvx61//OuIoccMNN4BSiuXLl2NgYABLly7FzTffPOxjVEgicxU8UsUF4q8WtsFcmJIWSr2cFjJKLR1GvLDU/mvSMN2Ojmj2RYTITLD2fK8msaOaKlaX1vkWYhcJ70ICFaCyJUxQ/tZ7jczq4TaWkWQ0T6RXdeCiXZEoEgLkPYImTuFRAPlgfuUpDZwbiD1ItU7UiZnaLqG/qV6ghpTOoU4YQTWr6kJWglYlkRvO3/dYIPxjDRs3bsTxxx+POXPm4Nvf/ja2bdumzkmzq40bN2Lx4sX4yU9+gne9611Yv3497rjjDixbtgyTJ0/G888/j0suuQTHHXccFixYMIKjSceoIXTNzc34zW9+U7Hc66+/Hjt20UUXKYmdDU1NTbjppptw0003DbmfJobyA4yROYPIWRc9lVxeX5gq245xWZ9B6rTm4qm8KgRj1dUbksjpZItyHpHSUWmybGhnpepLhr3jUuUqSB10CR6U2VQYp087Dk2FqNqVEr2Y6jr9ttkwXvqTu48AAEI3SURBVBZcFSrHMOTXny0owDkB4VCqcCVxFVK64JmQIBgcCEieoqjZPRISOAFR8ZeQqKc2tHQ2up2cOkcMe1PD6xvGvB5pMjdWpHSNhh43bqj1VIUqyu/LL2pDAWf1V7nyBhB8iQceeADr1q3DunXrcMABBxjtBr/FUqmEtWvXore3FxDmXL/97W+Vxm/WrFlYvnw5vvzlLzesn/XAqCF04xoGsYs4MJgTXS6EhEac/FM9JDmPlI+VFGFJOGhc9J0kmuZCHMcZCPVApZekluGCgYAICzwVU08jdZXAeJjyTErwiMiaoWv6koidHKtuVB4bQoZ+7EsbsM3UUc8prPsU6qRO5hiGSeqIrFOGU5BhWSQZDNTnVKSl45zEwlPo5EySuiQSZx4nWl9rJXPDvW83gtSNuJquhlyssYwhVV6TGY7EjWucd955FW3tDjzwwMiL66xZs2JZIsYCHKEbLeCWNFcVUl4RfYEz2UlkEQvlJpAbtv6GrLfhUbvq1eqIIQMOc5U1Qt/8pXTGl24VkozxqDQny61JInUEIYHk2jloNn0qoIGF2KWRun2JyOlIInUQ90gP+mCSOlWHtvkRLh0iuLiXgsip4+GzDto1HVFEH9R3oryb5XFbvMXI94Tz5vhs7Y4ERiupG1KfaiB1EjV7p6b1JXPbo4/EjThBT4OeBaZeqLdN3jiFI3SjFWlhRmw2c2kBc2OqWapUtzE1rK3+FEi1KyFQIUgCdakm0RGqU90zUkrrhooskaYqlbGRun2VzEkkOSXbpHU6qYNQU4Tq7TAtHQNR+YYZEce5tPeUDSf3KaZONYgasZYl8WOWMdnG7xDHkInmEEhd3TDGydyoxyhxinCIwxG6GjCsb082FagZNNVC5pKC6QYEDirTgp4nNULuLKreRHCmIvYz3YZOBg0moZ0V0TZ5VmHfMDf4NJhSOv0YEJfUJWZMEIsVE/WkpeTSr5Hpk7LEiIOe1qmKNuRHxlarBNkvAnucNLNJxsI2iIgPIouoXMLGhVTkTQ3t3ggYj2ap0CWmkDY4Uqarjd0sRxA+U3GlyuNqwjxCwMFEfDoOGdg3/V7pY8/iBVftczfb8DLMEy5CugBSHZ1+jUwLx9SYa5hbQ13bMuZzrQtqkOyNVhK3r79EOjQejtCNVmjpVSJJpxmL2LVxQlXy8yDHZlxFGk0Xk5BpgZMIuUOC0XI0jAlXlmuBJIeC0CC7gEdEu0xTv2rEjkGT4CRAX3eHK+wnY+F9VxtvhZyevka6fd+vmNidMaaSUQcayCD+GxI2GzPhui+km6lBjxlT/eJBxzIknA/z0nLOA5KeSmyCsefUcxT3i8bJupKwidAzOgUjlKjQI+Y10HKmEmGz6VEvVdTHGFOZIjgP4q0Qr/I1+thR6f6azyTjc5e5fmUbFeeW74d5WUV+2UptMO25c0oztaHGIcTV5tjrn8tVF9naFoH6ka66Ebgs6oAhIClW3WjL5cq19auedToMHY7QjXKY2R7SbE0UuRM/eE2wIf7om6iRaSGS65WIjTej+oSHpI6ABmm7RFBZjxJlKK/Uc5oKjlsXc8t9MBblJFuqoYJzHlmzs+TONCW2lRK7S6mZXoeS1tnaqzKnp5TSmKnlbCE99MTvMPoF7oN4tliHwgbSL4P4vnr+EM4xhNJYRgaZis4v9YMwX700cOrByxdBqAduhD8hBOA+A+N+aLNDKMB80FxOvMBYpHVmujvRZ2UbGHOOiY+diwwbSWSA+378WTEGJDx3+Yz1txRrKB99HhnzihOSaW6ZfeIZpcZJ/eIp96F2kIT/hwc1S8MaKESLBTk3wiKNrlyu9Q4sXOf6xikcoRsJEJsNG6tusdDIm5TO6RucJFRJVerZJwIVnheQO106J+PNRWKMmEGQxSZlkDoiJS/Cy5GTwL5KZhqwba5pKliTsNnsqZBgU2WWbzQqtVWPvtgSt1csX2kji5F3y4ahSXaJXwqIkJKGMRAwUOQMSS5AWBlgPki5HyiXQnFHLi+mrxeQOt3zkTEw5gN+OSqlJgBh2m/AZlMa6zdJziRiy5Ci3bdqkBSbsGIO1qygNCa5MRqKjGe0qhcbDae+dBiPcIRuhBGJx2TGi5P8SpfMURq1k1NEjiqpnB6lHynSnEjGBR4SO6JJ54K+aQGPrd6usn7DDo9QEKGGVZcb5E7vn0fSSZ2OGMFLIHL2a5NtySilEXVClnybsWOV8m1qjgeyjmoTu2fJ6amr0ohmDxcDD+3sImM3PZ4jKnoWhCNh5VBFSVjwrI08wsqDm5XhMR++OM8Jhcd8UO4DjAtbN6M9cV6qZAgREipD3R8be7kc1iElVAkOP7b7myUfr35/YTxDm52tPrc4IUINnAzr3KpA0BoxtwjnOOaoo1LbrRk2j/qkgOm1NtEAUps15FE1qFXlOuy5XJ2X66iFI3QjBVOdSWgodjbOJTk4BH+JInYmmUtL2YTIQhHmSVXEjkC5NQS2T5Z8rzGJjlyQ/TCThSZBsZE7NQbVp8x3MAYbkavk8WguynIz0x0W0qCSm2vfsyRp1zfRLAb4MoF61jZkv0L7s8rXeJQG9F6NHeELhoSWzSRsQ/ZL2HIyP+Y5LSW+hFLkWJCDF9K5Q17PyhGzAXAmbPKo9OEJ5pA2X5S6V34lNEgB5lGl4lTmBcN8f80N2iMEXFxDCEmO8ZixDZvKLTK3CBFZXNJBKVWmA1nGXhdUSm841OqrHEMtAr2ka8apUNRhFMARujqgZlsGKWlTUjkS5uRSEjnLNdL5QfswEZnfF93wWZTYWZtXEjopUYgTO0qoYQtsUWepG6Fv/CFJVVIXQpVXLiE08GA0YsIFUjoeqSbz7Uw5V02GgGo3NSI2zkxlqyBYJqrNP5ipDXNjpR5oWp5haxsaYVKZTIw69O+eJwKcIELMpKpff+byd6G3kRh7UeuvPvbIHEoJy9OQ+5tyTZa5PdQ2spaXcSKHDfWOO1cliWukRjYMz5T9mjGlIua87k4MzimiPnCErk7QReCwqFxSf7AR0iRs61LKqo+wOQqMpQMyp0vllJQuYQGT7+5cpnjSiF3gqSjf8s0sE1FSl7jp63ZPCMVvNoIHKeERtneqipTblpTiKwtSQ1jUQNBHdSDQesESyiaUrBrP2jiuQGmYkUQnUIRayZZukpDoEJRC0uoesHYYkaSCa3Q7Yw1Z70utwzTXGYmRTiM3YmCNcIpwhK4ecISuBpieZ5X+t33XQTiPkjrCkz3kCQWnOaVq5dSDiMwQIXM+C4mczZaOCH0aJYAvyB3nCENOMK5IHaEkyKxq+dFZs00YqmTdRhA2ggc/ZFgJJM92H21xvMy1t9Y1t1ZSp18/VqHuvS0WYcKxJOJkDV4NkZFEr0P/m9CfWBltzqReMwZhm3u1vjSkXTeWyVyWe1HN8JKIW5byNnI3VDu7cfGS6FBXOEI3ChAjD0L1apI6M+actJvzBZFjHErlqpM5KaWLNhrEMvN5qHJhRCdyEGpXLdo/aNymCrpdVQq508gAsWzgaVI8vUyYcSBhw67jAphZwmrrhoXcjcrNMyU0TWoCdXlvEh1lojagEXtKmyG8jYSlkbK0eHqp141+opd1nozK+TQMqCeRq5bEpdXTCIndqHzGnDuniFEKR+hGCbhOmABByWiinY1UtUKTvsmyUhJnkjmTM6pEYJyLzA5B4ypenHjFZJxHpWG6A4fqkIXM2c4nQIUxUUeMdGWm6i2BFNgWwHq85VaUsKZgLL9px0hdzBMxITq0xbHHlNSa7cTasMG8jxYV7b6MesYfG5VkoQLqLZWrJxpF6kYbOGf1t6FzKte6wBG6EUQsiGoCqYsUAoTKNfRqldI502bOJHMRFYHu5kBCUkfE/5yEUjp7Tk4St+qWP0rtx06MTR1qXAhtqIgR/05X43GDQErvWUTJRZoncJaNayiEK8sGO6o3T8Mj1YRVBRu530mL8RDIVtLzqNVWbh8ietXOpcTgyCMVmLYG1NtOrl6SOQeH0QRH6EYIttimVlJHokbfKkSJcISQtnOyOtNuDhYyB21BM98oOQ8IHtGkdHqwYlIpe4SRriysmMVtqXxJxFiYozaN3EHznlWjDRBTTcNuxJ8EU4pmy6owFNjUrrW0Ue01VbdBaHiNcf+SSFNy7cnzpGK/bFK8JPVuwvWj8v7KcVTpUVut2n44xt5oDEfokXqiVuncWCHVCk7lOmrhCN0QUKsqzfz9SlE916RfRFe3GuooGUBYerJWCiAcaduyAUsSRw0rXkUSRcw4uWBxg2yZsMYtS/iuWksid2Y5m1pWJx+GipDbpE9JxERINPWAsZVyZ8LIzWrL/RpzlhH5NmUvPUorbgZ6jk6ZPD49LyuP5CeltFJeViOvp4j/FmvDuIc+Y8EhzmJt2Ei2yn3LgxJ6G0nPTY2dUBDGo2O3ecZyDub7VY2diWswXPeXMdCMc8vXQt3kMrQR6VculxrOR6YTk6nisoy90ajHmrovYri8nh3GLhyhG2FISZkuMdOdEEzo2SBg2MtlQaUlIG4/F3zX2yeaGjTVcD7S8QT3U4OIcaKFtEioN9HezpQqJYW8SCF2vpF02vd95HLJPxO5gRLje9rm7gf6cHUPmO8HsdmSVGOiTvN7paTrOsFnIjdp2kZdZkz1iSS1od2zwBlHjIN48BE8FBWc2XZ/5TMW3ShzIJ9SnnMOHwSg0bh1qleWayShUUnt5W8rYdxcI3Oow/1NyskZmVuizZznJXrEc85DMifmDKsQL08fOxEEMu2lRJ9bXAYhNsbOCcGza9Yk34uMqltb5oNhB7cuIEPHEL1ZKyEtLFZPT0/tjdeChmSKcLlc6wFH6EYQNjuOiLQuwRXeTO2VBWZKIGgqAkKCzS4IkGu/nou+edLDVmWOMDZVLV1ZBKbxvOnTrweWNUmdLgk0VLKc6GV42JZWJ2CkTzPaHAq4JadqJUlpLEm7JAEpm25s86uQMJ1ZNkyWohayJmSvoEbijMVNB2hKQnsOlP04SacUoAkTj3Eel2gzDppLfm48gSwk9styrtLYq7m/XGRuiKlNs8wTi5q+2muylLeeSwnDlFa2YpsWwjt0e74qruXhepDpZTRTlUnzMYMTR1b7wITUX8MOTSNRzzodhg5H6EYJlLZVl9ZZFoPkIJdhyBJJ0BhI4OwgqjHrSzVhyrpQJKhdrWrZSKiLNK/RBFKXVjapTCVSZ9ZnbA2V7gKxpFaypYCKhEAxcmdWRC2xxyxtVMrpKaGEbqkqRwAgYMaz97iFq8tQOlLqq72JUCJjKMp+2NqIv4jYymuDCaLZp5WpgCypv2q+v5LYVdjMVUYJrUwl1bzeryybvbXPKVLGRiGp/uyEpUp7OzMm5ggiM/l2KlaHChhVhC5pQfzmN7+JL37xi9ZzV199Na655prIsXnz5uGVV15R3/v7+3HZZZfhzjvvxMDAAJYuXYqbb74Z06ZNq/MIhg4bsUsqY4KQgMBBeq4KUucpqVDydRCbqySDEqbgRFajsllItateyIxsoS42iF2kEynxyGxIk66lEMYYqTPq8SgN7MJEv2mGBOrE8yI2dDaVmE7qKKURO6dKdnqyTtOGrmK/jHyxFXO5eh78snzztrcRmZJGvyilwqnHbieqynCm5qO8vzE7Utmedr8AmWc4Tj51UErh+0z9UiqNXeaL9Yfh/jLfzzy3ZDouxlhwX8VcS5PsUUrha+rgWuYW0e0gRT1HH310al+HilrJSjU8s9GerTaynWVY1ZBlm8p19+7d1XRz6OC8/hK18WAEOQwYVYRu8+bNke/3338/VqxYgeXLl6de9/a3vx2//e1v1XfT5umSSy7Bvffei7vuugsdHR246KKLcNppp+HRRx+t8wjqB53Y2Y6b6lYiyJe05pKSOT3kiO06SdjkwqOrXpPWIm6GL7EEQVaV2YhdYr266rZCXLIGvWETQpATG23WTcYjBEixs1N1ayKjNPssG7IY3UfaqqENQghy+VyiZMu25mZ1OIi0kfPAePxlISmOV6U2TFJnjj3TpkppRYeDSPla76/FZs5aNsnZwqIaJ8b99ar0oE26v42UyjWawFVL3qodqa33tsgBFZQRmZGkkh4RD9lGpP5yNnR1wagidNOnT498v+eee/DBD34Qc+fOTb0ul8vFrpXo7u7GrbfeijvuuAMnnHACAGDVqlU47LDD8Pjjj+Pd7353HUdQHWx2bSaSzlIRADjI8hA6RngyPJxGujj0Bd9SlzqnSeoqdZ7YgyAToww4C4md/Mf2dmfbhBJTPlnInC0llAXVEMAsxtu1LKgjahSeAbZuWclcwvyVxCxtbifZauqbYjWbcpzUZb502CCfe71sn5TzhK7ON2w6a22nUUShkUQuy3yp16hiZhZGPxpB6hwcKmHkDQgSsGXLFtx7771YsWJFxbKvvvoqZs6ciblz5+LMM8/Ehg0b1Lk1a9agVCphyZIl6tj8+fMxe/ZsrF69umH9T4P+41aOCTXUQ4lUkxLxZh5I1jzzQ4n65MXHI8Enr52T1xKj7kSCR2gsHRmnOfUBoQDNhR9Z1svFP6oeGl5nHpOfashcHSR4cpPUN0tz46y13rGAtG4m2XQlba5Em+ukhnlPCdknovEP17Ovdp7WY17bwCs48SRexyuTOSa9rZPq0D6Ngll3PdW7o+3FL8gU4df545wi6oFRJaHT8eMf/xhtbW047bTTUsstXLgQt912G+bNm4fNmzfjmmuuwfvf/3688MILaGtrQ1dXFwqFAiZOnBi5btq0aejq6kqsd2BgAAMDA+r7sNspVAEp7ZASO3VcW2ZMVauXskaEatg0SZeZf1bEkOM8EgzYmpi9GqSldorl/kwnc/VSz9ZzwxsLacFMB2UTqd6gKcSuUn37AnEbLag0z0ajerUubddwTVL0gCSp8ngD59yl/hqlGDEJ3e23347W1lb1efjhhyPnf/SjH+HMM89EU1NTaj0nnXQSTj/9dCxYsABLly7Ffffdh127duEXv/jFkPp3/fXXo6OjQ31mzZo1pPpMDEVKRxI+pmQup0vmvPCjS+xsH13aZ5POqagLUiqnS+qoJzwrPIB6EYldTR+tfm5K7eSN1EN+mOdln5PI3CjwchsLqHVPrkaiNhTp277G/RpBgpJssBqpXh1SSr0hqlmrGZWePrFSmXq05+DQCIyYhO7UU0/FwoUL1ff9999f/f/www9j7dq1+PnPf151vRMnTsShhx6KdevWAcIub3BwELt27YpI6bZs2ZJodwcAV155JS699FL1fffu3TFSN9RFV5d8SJshUmFhkC3qG1/Wbsi2dOlcNaoBm11IQOo8IQGwZHiIZI2o0NFa4kykELJUiZwjclVDjzpTLRolbdvXiFxW1CM/62izk4vUUSebuXrDSekCZsst8SSHAu47OlwPjBiha2trQ1tbm/XcrbfeimOOOQZHHnlk1fXu3bsX69evx9lnnw0AOOaYY5DP5/Hggw8qb9m1a9diw4YNWLRoUWI9xWIRxWKx6varhb5JppE6fR0JQjeI41zkAKuQgisWWkQQGrlAxQKrZvh9mSEsgr+ad6EkeZGL0heCLIE+a1KdjgCBs21sY8VuLg1J+3Ujh7YvELdqg+cmlR/NKvrh7Fslx5lKL8fRuoben9H7VBzGC0adDd3u3btx11134V//9V+t5xcvXoyPfvSjuOiiiwAAX/jCF3DKKadgzpw52LRpE1auXAnP83DGGWcAADo6OrBixQpceumlmDRpEtrb23HxxRdj0aJFDfFwNT0Ys3o0SmldJUldnMyxkASpvxbVCjS3cIutGdGJkvoelcjpiC2kCV6Q8Y54qZszhzfipEemdaqUKsssD2jxySpIUOQ1PKOa0dZGQ66RMfga2Ya8vyJcSJbyMhhxI/sVicXW6GdCbWHDLX1C6BVOCLF7g6dco4cjSc7gkW3+2jI6jGZyCY1kNXpFMe/Cvmz/yRsgoXOZIuqDUUfo7rzzTnDOFSEzsX79erz11lvq+5tvvokzzjgD27dvR2dnJ973vvfh8ccfR2dnpypzww03gFKK5cuXRwIL1wtZ4gNVIilcEDWT1OmIqFl1MseFM4IgdFE1p5mCyxLAl8jFnEUdGiA9SklEPayTubRR+UljlprVhOvSFsOhrpOVnoNKBC/7UjEGGo/k6OQiPllaN33OVSBimRaqUkwzPRAxMgSMNfuVJem6ryW0Rw1jz9Kv2P3lPDXArsyzqj+1WsZe6f4O59gloc/ahv5S6FUgjvr9JSL3q23s+u/AnFs0l0udv0NP01UZlRxxJPS1opK0zsRQRpDFqUeV3de4HWf1d4pwhK4uILyqHETjF7t370ZHRwe6tmxBe3t75Fy9FrcwKXd8cdLzrioyx8qKyCliB8T/2qBJ4+RfMwQJJOkj1No32UPdULia6ZS0MZnqD1upRpA+wjnK5XLsuBmoWofcQM30TGkkxS+XY7uVJAPWHKSWjT2JpOiJ4M1nQT3PKhGTBMMkKADg5fPWMRCR1J0ZCzGlNMhmkHCN7f6mjt33Y23oY7ddw8rl2Nh1shU3L+BgZr8qBJjW76+UXFUiaLax51MCDUcIoOb5W2lumb9Ak2iauWFjz53S2Nx6ds2aoHyC5sHMMWr+33iMpm2sugWoovYm5d5yQtDT04OlH/oQuru7Y3tTvbFs2TIsnQKc94H6Zg5Z89eNOGvVb7Bp06a61jveMOokdGMNQ1qwdMJFaGzhNiOPR8icJpULpXTiwwxJnZ7YXjYt/6eamlWRNxpI7TRiF+u6+Mt4SOJMD7BKd8Z276I5aUnsnIRvkWDCyPMZa6+ST4YgFUPdhCpenSZJsJ0zPBGJVFdW288aPBqHEjg5uR/ReZ92XS1zqOr+VagjUQJvPhPxSSLlSX1NO67HPTTLW4mANNfQ5jFJ+K0koV4krPFkjo9Sy7XR2q/6oBEqV57mPuyQGY7Q1YC6xA4zpWfCO5QI91GpelVtas3pBE79z8oAM+zp9AWVM4T5uoR6FQC4IHB6eDe5kRIvyH0KgIDGxmySOZvETjWvb0gpkjlF5hButJLI+WacPYskL0myCWPfTnp8hJAIiahosURpXBJWwc5J5XIVm24m+ytDB1WpfJDPNCp5qZTT00w4nyWfKRB9YajYLxKdHwQ8W1J7rY0s/eLGw6567EO4v6aNGdFIFtdf2lJbQEyiSISaVp232LLJXK7m2KqCLYevxXbOJGy2zBVDRuo+TyL/syqldA1TuZpnK/20M5jjyHLm/yNhb8x5IwidU7nWA47QjQSSVKFayA+bDYmUzgVleXiNkMpltacLwosI6Qj3A3LHKbgXTgcCgHMRLLiCh6gkc3Kj1jdG60j1jVM7nETYdAIQCZaMaFl5Rl8/bfkVZRds+47necqmSNqdpS2ZRFwjnQkqJoLnXKk9mXAKyLKxe4I4SturSpu0VEsyxtSmnoUE6g4hWYhT0Ia8Pt2GDBpJlPc/6zg4g7i/GdsgBFwbeyXUPnYGCMcWWzv6hivLM3l91mfIg+R9XspzVxu854GK+ZvUJ1sbXNjbJc2to4+ur4otDVk4StaQJcNFdyo5RaQ9hqESuu49e2rttsM+BkfoRgGIcEIIv0clgLHFQCdrpqTOZlMHgyyK/6O0SqhqVWJXGVPOU/0jnENX3nDOI5I5dSzyPX3szBgb5XHCpkviJLmjJCSOhJDocTkEvR1L4vckUldpMzdBxEZaDWgGIhdro0rJR7UJ5Gtvo7plpLb7W2UbhADDMvbGPndo5dM2/ogNJ6UVy+vISvgbjXoRuawkbihaPlM7YK45+3I+V84YmMXedkh11ttrdpzCRVcdYRCbJM1azrT70cqzuBQu8j2ihg3/N9vMEgMuCbr6VTWdYcE0TJEMMhi3zUtT68bqjvXRYqM1jBqLkQ7H4jC2MdpDhIwGZPmFVcr4kAX1qMPBod5wEroRhJVAGWrX1GvM/5URNIsTOVUBjUnrhFJSGKExwNPKcG61AUlazGRLEZKWsvCpwMbKESKoQ75pSBUY4/G3YnlMltGPVYN96e151ENKooea49ehrhhpsjhU6VxWIldvmOsNT5HS7TNwuVxHLRyhG2/QN9KkTdV2vMYNuNIiqqtKI8ct4mNF4KrwIRtN/mYjZcQ8KuHInMMwwknT6oeGeLm61F91gVtVxxv0jXQYEtZXkpZRYi9j64EsV1UIhirKDgeGmrDcYd9AlnlgDX/i5k5NcDlYHcYDnIRuBBE4GqRkctDUkNZrpPpUXRe4Akbyttoka2Y8OhlMGNG4dJHGjTr0ECOR49J7U/PSzbKY6mNURuApIUr0Y5XKVdP2cCHi9OKkduMKkZR6llAnWa7PUr4aiXBdQjENAVkyQ6TlbpU9T6vC5jU/VKQFQd8n1a0Ni0PnVK71gCN0IwxbovmkN/PI4qzbwlEqwsyF5E2pGnXSp19rkjkZUBg6mascuoGCK1UoQxBnS15lerDaCKqONCIXXSijfbAdN69BwgK7j665DmMM1RI7WyiLsY6hkjpUSex0ZCF5lV4W007vI48oQCNSf7mX2rrAqVxHAhlUnZGYwDK+my4tIyRKwCgFpzkZ3EsRNE6C45GPOAbqRckclQQvSu64IoAV4n+RaAgEKiaY/Hgk+JjHg3PadSRUxRKxUOrHYISZiBzXPmG/iDUulD3QfpAKqVwuW9Nn2cAYg18uo1wux9JU2SBTTVXTRqRfRu7NtH6Vy2WUa2mjirGXqxx7tW1wzlEW12RuQ/Srpvtb7dgt6cmkSlVXrWZpQy9PRM7ftLkVk/QyVtP99bX7m3TNcEiSk36XOuTvOTX9n+WTXmflT6W2zD7qY3IYWRx44IGRvYkQgq9//eup1/T39+PCCy/E5MmT0draiuXLl2PLli3D1uda4CR0NaCRb8RJdStPTBE/TsWSo7kgpysCZsSRE+cAcMOFFHEVqknkYjldK0CX0sF8i9Xiw5mwLZDxRTHaTuI5a/32vlcaUmRDkwFaKyWP1zZa+X9arDXGmErRBM7hV8g1Kjdp1SZj4BWCC/ucB5IMIdn1fT8xebxsryzbkNkyGEuNs8ZEO/Km+jL9VYV+ca0NzpjKmWoD5xxleX8JCa6XwZUTCAbXxs7F/fY8L/HtVc9nymW/OA8C+Sa0oefwJaI9Qog1y4Ksl0mCJTNG+D5oSi5XfW4RBHltOeepMQ/l3ArcxVlsbqWNXbZBKI3F8HvmmWdigW0Bu6QwNTVZo6F7QY2E0KcWk48hBhbe29tbW19rBGccrO5OEY1XuV577bU4//zz1fe2trbU8pdccgnuvfde3HXXXejo6MBFF12E0047DY8++mjD+1orHKEbKaSoMxWfMFIRcQ6xQWs2czBInUdDF/A0aUbMVs5C5rTvtsVZpnGSpE5CJ3FeygJnJXUpxE2VidWTvopWta8wFqm/koSDW/J3ZrqmGlsoy+bILPcqco327OW1LOVe2fqcVh5i86/6GjNWYYWx2GMHphOGJJVcInGynEtrgwhSadZr88zW62OITsa0ecKFatEkSQxAEp3jhMTbkBK/BJtNq5TQkvs1yzyNBUQfskQv+/XRcE6VqtVsP4baR3N+cJsZTfoCVIn46gTZ/H9fUbcPB9ra2jB9+vRMZbu7u3HrrbfijjvuwAknnAAAWLVqFQ477DA8/vjjePe7393g3tYGR+iGiHqFogjVMsH31IjoUkoXlAxJnRl3jiQQOsNGLqK61SR4itzZqhDrpjI01hatNBKnI0mNUY3EDXVSadRTnZQl3RIsizSSFvc6LdpVZ0KoXGHVGyKpapu297kR/crSrgQXkjjTjijdhsouGc26IatcrRnmViXCq885s18m+bNdU6mP9SMZ2etRa1iWx04S/q8HRkBCN9xopFPE7t27I8eLxSKKxWJd2vj617+O6667DrNnz8YnP/lJXHLJJcjl7BRozZo1KJVKWLJkiTo2f/58zJ49G6tXr3aEzsGOqGQn+CvJnPypEj0nKYIFV8rEFKkjnsi9ipgThJlaLDiohy+xqGENuzl93ZCGyfralZXE6XUkIet+oBazOq5pnudF1JuVUjvJHKDQNshKhqkeIfC1Rbli/ldRRlftVkqfRSkNVHza96rbqDB2M6l9pnyxxv3N1C/NED6wOqg89qrbqPL+Wsde4RpPPBOI31Xa3CKcq1yvSoqWIYevHLsibCnqVljGThJMDI4++uhhV6tm5SpZ87qiQVrYSi+glW7RWMvl2qg4dHv27EFHR0fk+MqVK3H11VcPuf7/8T/+B44++mhMmjQJjz32GK688kps3rwZ3/nOd6zlu7q6UCgUMHHixMjxadOmoaura8j9aRQcoasDTDWDTe0wlIXPFhyXx0gdtDwN1ChrkjmjNpukrg6Lda12bCMZxsPMz5lFqiWTm0fKp6nsEtpIu986KcnSJ0IIvFwu3q8UmMSnmsTuVfWryvtLPS9RopTURm4Ujp1qOX95CvnV57/ZRkX1nOgX0UhgxX4ZcyutjeH6bdabzDWy17b12aF6tLW1YePGjZFjadK5K664At/4xjdS63z55Zcxf/58XHrpperYggULUCgUcMEFF+D666+vmwRwNMARujojZouTVaWSIJ0zwTgHBQm0SpLUGem8JHS7klQJndWGKH0VtHmNmrAu/pyl1psln6wt1EtFVHFNLUnKs2zOjWqjntfsK23Uck0j24gR0iraqqZfRErO5UtCndpInMeVzAVGGMP1amiSOj3t1z6XWrCBqb/a29szX3PZZZfhvPPOSy0zd+5c6/GFCxeiXC7j9ddfx7x582Lnp0+fjsHBQezatSsipduyZUtmO7yRgCN0Q0A9jFKjOU+TyZypfpWhg7kgdyBxNQk3zKdta7J6w83wpptG4kL1Z1zdG3agwiJQKVCdrc405xL9XEoAZweHRsJGhmpdO9Kuq1c7tTo3DLd3ayXpXDVkLmuw4bTwJeNFUscZq79Xag2pvzo7O9HZ2VlTc8899xwopZg6dar1/DHHHIN8Po8HH3wQy5cvBwCsXbsWGzZswKJFi2pqczjgCF1GSLXHHs1eYaiELiuZM1FNi7b6qg2iSSLHpWpGnONckaWYUwaMQQ41AbONhCWoj00kSvVGEbEbjRIOh6EjMbxKlVLdtOvSrqm2fL1Qz5fdJKSRukYQOlQgdba1EhXeUYdqQ7dn796g3AiaqoxmrF69Gk888QQ++MEPoq2tDatXr8Yll1yCs846C/vttx8AYOPGjVi8eDF+8pOf4F3vehc6OjqwYsUKXHrppZg0aRLa29tx8cUXY9GiRaPWIQKO0GWHJHJvO+SQke6Kg4ODg4NDBDangoaAj63UX8ViEXfeeSeuvvpqDAwM4KCDDsIll1wSsasrlUpYu3YterWYfjfccAMopVi+fDkGBgawdOlS3HzzzQ3rZz1AuKP1mcAYw6ZNm9DW1laTrU0adu/ejVmzZuFvf/tbVTYE+wLc2N3Yx9PYx+u44cbesLFzHniIzpw5s6J39lCxbNkyHMd34ZPvjNudDQXPbdqGzz7wDDZt2lTXescbnIQuIyilOOCAAxraRnt7+7hb6CTc2N3YxxPG67jhxt6QsQ+LZE6AMZ4pBV9VdTq5Ul3gCJ2Dg4ODg4NDNjRA5YphSP01HjB6LMIdHBwcHBwcHBxqgpPQjQIUi0WsXLlynwpwmBVu7G7s4wnjddxwY99nxh6ELYnncR5qnQ5Dh3OKcHBwcHBwcKiIZcuW4b0D2/CJdxxc13r/1LUdFz38onOKGCKcytXBwcHBwcHBYYzDqVwdHBwcHBwcMoGzRsShc4rCesBJ6BwcHBwcHBwcxjichM7BwcHBwcEhExqRy7XuYVDGKZyErg64++678aEPfQiTJ08GIQTPPfdcrMzxxx8PQkjk89nPfja1Xs45rrrqKsyYMQPNzc1YsmQJXn311UiZHTt24Mwzz0R7ezsmTpyIFStWYK/I7TccyDL2/v5+XHjhhZg8eTJaW1uxfPlybNmyJbXesTB2G84777zYcz7xxBMrXnfTTTfhwAMPRFNTExYuXIgnn3wycr6WezicqNR/E3fddRfmz5+PpqYmHHHEEbjvvvsi57M8/5HG1VdfHXvW8+fPT71mrI77j3/8I0455RTMnDkThBD853/+Z+R8rf0eC/O+0tjH22+eMw7ms7p+nJdrfeAIXR3Q09OD973vffjGN76RWu7888/H5s2b1eeb3/xmavlvfvOb+O53v4tbbrkFTzzxBCZMmIClS5eiv79flTnzzDPx4osv4oEHHsCvfvUr/PGPf8RnPvOZuo2tErKM/ZJLLsF//dd/4a677sIf/vAHbNq0CaeddlpqvWNh7Ek48cQTI8/5Zz/7WWr5n//857j00kuxcuVKPPPMMzjyyCOxdOlSbN26VZWp5R4OF7L0X8djjz2GM844AytWrMCzzz6Lj3zkI/jIRz6CF154QZXJ8vxHA97+9rdHnvUjjzySWHYsj7unpwdHHnkkbrrpJuv5Wvo9VuZ9pbFjHP7mHUYpuEPd8Nprr3EA/Nlnn42d+8AHPsA/97nPZa6LMcanT5/Ov/Wtb6lju3bt4sVikf/sZz/jnHP+0ksvcQD8qaeeUmXuv/9+TgjhGzduHPJ4qkHS2Hft2sXz+Ty/66671LGXX36ZA+CrV6+21jXWxq7j3HPP5R/+8IeruuZd73oXv/DCC9V33/f5zJkz+fXXX895jfdwOFGp/yY+9rGP8ZNPPjlybOHChfyCCy7gPOPzHw1YuXIlP/LIIzOX31fGDYD/x3/8h/pea7/H4rw3x87H2W/+pJNO4te890j+8ooP1/Xz81OP4zNmzBixce0rcBK6YcTtt9+OKVOm4B3veAeuvPJK9Pb2JpZ97bXX0NXVhSVLlqhjHR0dWLhwIVavXg0AWL16NSZOnIhjjz1WlVmyZAkopXjiiScaPJpsWLNmDUqlUmQc8+fPx+zZs9U4TIz1sT/00EOYOnUq5s2bh3/8x3/E9u3bE8sODg5izZo1kbFSSrFkyRI11lru4XAhS/9NrF69OlIeAJYuXarKZ3n+owWvvvoqZs6ciblz5+LMM8/Ehg0bEsvuS+PWUUu/x/q8NzGefvPSy7XeH4ehwzlFDBM++clPYs6cOZg5cyaef/55XH755Vi7di3uvvtua/muri4AwLRp0yLHp02bps51dXVh6tSpkfO5XA6TJk1SZUYaXV1dKBQKmDhxYuS4Pg7bNRijYz/xxBNx2mmn4aCDDsL69evxz//8zzjppJOwevVqeJ4XK//WW2/B933rWF955RWgxns4XMjSfxNdXV0Vny0qPP/RgIULF+K2227DvHnzsHnzZlxzzTV4//vfjxdeeAFtbW2x8vvKuE3U0u+xPu91jLffvMPohSN0VeL222/HBRdcoL7ff//9eP/731/xOt2264gjjsCMGTOwePFirF+/HgcfXN+o241CrWPfV2G7H5/4xCfU9yOOOAILFizAwQcfjIceegiLFy8eoZ46NAInnXSS+n/BggVYuHAh5syZg1/84hdYsWLFiPbNYfgw3n7zgYSuvnHjXBy6+sCpXKvEqaeeiueee059dJVfNVi4cCEAYN26ddbz06dPB4CYV9OWLVvUuenTp8cMz8vlMnbs2KHK1BO1jH369OkYHBzErl27Isf1cdiuwSgbuw1Z7sfcuXMxZcqUxOc8ZcoUeJ5XcazV3sPhQpb+m5g+fXrF8aLC8x+NmDhxIg499NDU3/S+OO5a+j3W530a9vXfvMPohSN0VaKtrQ2HHHKI+jQ3N9dUjwzvMWPGDOv5gw46CNOnT8eDDz6oju3evRtPPPEEFi1aBABYtGgRdu3ahTVr1qgyv/vd78AYU4Sxnqhl7Mcccwzy+XxkHGvXrsWGDRvUOEyMxrHbkOV+vPnmm9i+fXvicy4UCjjmmGMiY2WM4cEHH1RjreUeDhey9N/EokWLIuUB4IEHHlDlszz/0Yi9e/di/fr1ic96Xx13Lf0e6/M+Dfv6b57zBoQtqbPEb9xipL0y9gVs376dP/vss/zee+/lAPidd97Jn332Wb5582bOOefr1q3j1157LX/66af5a6+9xu+55x4+d+5cftxxx0XqmTdvHr/77rvV969//et84sSJ/J577uHPP/88//CHP8wPOugg3tfXp8qceOKJ/KijjuJPPPEEf+SRR/jb3vY2fsYZZ4yasXPO+Wc/+1k+e/Zs/rvf/Y4//fTTfNGiRXzRokWResbi2E3s2bOHf+ELX+CrV6/mr732Gv/tb3/Ljz76aP62t72N9/f3q3InnHAC/973vqe+33nnnbxYLPLbbruNv/TSS/wzn/kMnzhxIu/q6lJlstzDkUKl/p999tn8iiuuUOUfffRRnsvl+Le//W3+8ssv85UrV/J8Ps///Oc/qzJZnv9I47LLLuMPPfQQf+211/ijjz7KlyxZwqdMmcK3bt3K+T427j179vBnn32WP/vssxwA/853vsOfffZZ/sYbb2Tu91id92ljH2+/+ZNOOolfdezb+fOfOKmun9v/fpHzcq0DHKGrA1atWsUBxD4rV67knHO+YcMGftxxx/FJkybxYrHIDznkEP7FL36Rd3d3R+oBwFetWqW+M8b4V77yFT5t2jReLBb54sWL+dq1ayPXbN++nZ9xxhm8tbWVt7e380996lN8z549wzTyymPnnPO+vj7+T//0T3y//fbjLS0t/KMf/WiE8PExOnYTvb29/EMf+hDv7Ozk+Xyez5kzh59//vmRRZpzzufMmRO5P5xz/r3vfY/Pnj2bFwoF/q53vYs//vjjkfNZ7uFIIq3/H/jAB/i5554bKf+LX/yCH3roobxQKPC3v/3t/N57742cz/L8Rxof//jH+YwZM3ihUOD7778///jHP87XrVunzu9L4/79739v/Z3L8WXp91id92ljH2+/eUfoRjcIDzZTBwcHBwcHB4dELFu2DMds3YD/PndWXev9845d+J8vvYFNmzbVtd7xBufl6uDg4ODg4JANIg5dXeFs6OoC5xTh4ODg4ODg4DDG4SR0Dg4ODg4ODpng4tCNXjgJnYODg4ODg4PDGIeT0Dk4ODg4ODhkAmccrM4SunrXN17hCJ2Dg4ODg4NDJvBGOEU4lWtd4FSuDg4ODg4ODg5jHI7QOTg4NAS33norPvShDzW8nV//+td45zvfCcbqLDVwcHCIgXOAMV73j8PQ4Qidg4ND3dHf34+vfOUrWLlyZcPbOvHEE5HP53H77bc3vC0Hh3EP4eVa148jdHWBI3QODg51x7/927+hvb0d733ve4elvfPOOw/f/e53h6UtBwcHh9EIR+gcHBwSsW3bNkyfPh3/8i//oo499thjKBQKePDBBxOvu/POO3HKKadEjh1//PH4/Oc/Hzn2kY98BOedd576fuCBB+KrX/0qzjnnHLS2tmLOnDn45S9/iW3btuHDH/4wWltbsWDBAjz99NORek455RQ8/fTTWL9+fR1G7eDgkATGOZjP6vrhzlyiLnCEzsHBIRGdnZ340Y9+hKuvvhpPP/009uzZg7PPPhsXXXQRFi9enHjdI488gmOPPbamNm+44Qa8973vxbPPPouTTz4ZZ599Ns455xycddZZeOaZZ3DwwQfjnHPOgZ6Gevbs2Zg2bRoefvjhmtp0cHBwGOtwYUscHBxSsWzZMpx//vk488wzceyxx2LChAm4/vrrE8vv2rUL3d3dmDlzZs3tXXDBBQCAq666Ct///vfxd3/3dzj99NMBAJdffjkWLVqELVu2YPr06eq6mTNn4o033qipTQcHh4xoRKYIv67VjVs4Qufg4FAR3/72t/GOd7wDd911F9asWYNisZhYtq+vDwDQ1NRUU1sLFixQ/0+bNg0AcMQRR8SObd26NULompub0dvbW1ObDg4O2cAZXOqvUQqncnVwcKiI9evXY9OmTWCM4fXXX08tO3nyZBBCsHPnzor1+n781Tyfz6v/CSGJx8wwJTt27EBnZ2eG0Tg4ODjse3CEzsHBIRWDg4M466yz8PGPfxzXXXcdPv3pT2Pr1q2J5QuFAg4//HC89NJLsXNbtmyJfP/rX/9alz729/dj/fr1OOqoo+pSn4ODgx2c1dchgvnMxZCsExyhc3BwSMWXvvQldHd347vf/S4uv/xyHHroofiHf/iH1GuWLl2KRx55JHb8nnvuwd13343169fja1/7Gl566SW88cYb2Lhx45D6+Pjjj6NYLGLRokVDqsfBwSEdnIv0X3X8uNRf9YEjdA4ODol46KGHcOONN+KnP/0p2tvbQSnFT3/6Uzz88MP4/ve/n3jdihUrcN9996G7uzty/OSTT8Y3v/lNHH744fjjH/+Im2++GU8++SR++tOfDqmfP/vZz3DmmWeipaVlSPU4ODg4jFUQrvv+Ozg4ONQJp59+Oo4++mhceeWVgIhD9853vhM33nhjXdt56623MG/ePDz99NM46KCD6lq3g4NDiGXLluGwF1/BKZ3T6lrvyz17cV33dmzatKmu9Y43OAmdg4NDQ/Ctb30Lra2tDW/n9ddfx8033+zInIODw7iGI3QODg4NwYEHHoiLL7644e0ce+yx+PjHP97wdhwcHGQcOlb3T6Pw0EMPgRBi/Tz11FOJ1x1//PGx8p/97Gcb1s96wMWhc3BwGBY89NBDI90FBweHIYLz+gcWbqRTxHve8x5s3rw5cuwrX/kKHnzwwYrZbM4//3xce+216vtot9F1hM7BwcHBwcFhn0ShUIgEIC+VSrjnnntw8cUXq5iWSWhpaYlcO9rhVK4ODg4ODg4OmcAZwHxe34+Q0O3evTvyGRgYqHv/f/nLX2L79u341Kc+VbHs7bffjilTpuAd73gHrrzyylGficZJ6BwcHBwcHBwygXMOXudAwJxx7NmzBx0dHZHjK1euxNVXX13Xtm699VYsXboUBxxwQGq5T37yk5gzZw5mzpyJ559/HpdffjnWrl2Lu+++u679qSccoXNwcHBwcHAYUbS1tcUCjKfljL7iiivwjW98I7XOl19+GfPnz1ff33zzTfzmN7/BL37xi4r9+cxnPqP+P+KIIzBjxgwsXrwY69evx8EHH1zx+pGAI3QODg4ODg4OmcBZoCatd50A0N7envmayy67DOedd15qmblz50a+r1q1CpMnT8app55adR8XLlwIAFi3bp0jdA4ODg4ODg4O9UBnZyc6Ozszl+ecY9WqVTjnnHOQz+erbu+5554DAMyYMaPqa4cLzinCwcHBwcHBIRM4C8KW1PvTaPzud7/Da6+9hk9/+tOxcxs3bsT8+fPx5JNPAgDWr1+P6667DmvWrMHrr7+OX/7ylzjnnHNw3HHHYcGCBQ3va61wEjoHBwcHBweHbBCBhesJzjiQHkFkyLj11lvxnve8J2JTJ1EqlbB27VrlxVooFPDb3/4WN954I3p6ejBr1iwsX74cX/7ylxvbySHCEToHBwcHBweHfRp33HFH4rkDDzwQelr7WbNm4Q9/+MMw9ax+cITOwcHBwcHBIRNkHLp6gjEOeHWtclzCEToHBwcHBweHTGhI6i/fEbp6wDlFODg4ODg4ODiMcTgJnYODg4ODg0MmcM7BeJ1VrnWub7zCSegcHBwcHBwcHMY4nITOwcHBwcHBIRMYB/x6S+jqWtv4hSN0Dg4ODg4ODpnAhA9DPTEMcYXHBZzK1cHBwcHBwcFhjMNJ6BwcHBwcHBwygXFef5Wrc4qoCxyhc3BwcHBwcMgE3gAVKXN8ri5wKlcHBwcHBwcHhzEOJ6FzcHBwcHBwyIRGeLnWu77xCiehc3BwcHBwcHAY43ASOgcHBwcHB4dMCCR0da6zvtWNWzhC5+Dg4ODg4JAJDPX3cnUq1/rAqVwdHBwcHBwcHMY4nITOwcHBwcHBIRMaonJ1Arq6wBE6BwcHBwcHh0xwcehGL5zK1cHBwcHBwcFhjMNJ6BwcHBwcHBwyoRGpv3w4EV094CR0Dg4ODg4ODg5jHE5C5+Dg4ODg4JAJzili9MIROgcHBwcHB4dMYA2IG+cIXX3gVK4ODg4ODg4ODmMcTkLn4ODg4ODgkAmNULnWu77xCkfoHBwcHBwcHDKBNyD1F3Opv+oCp3J1cHBwcHBwcBjjcBI6BwcHBwcHh0xoiJdrfasbt3ASOgcHBwcHBweHMQ4noXNwcHBwcHDIhEBCV+dMEc6Gri5whM7BwcHBwcEhE3gDVKSOztUHTuXq4ODg4ODg4DDG4SR0Dg4ODg4ODpnAGhC2xKlc6wNH6BwcHBwcHBwyweVyHb1wKlcHBwcHBwcHhzEOJ6FzcHBwcHBwyIRGqFydhK4+cBI6BwcHBwcHB4cxDiehc3BwcHBwcMgE3gAbOr++1Y1bOELn4ODg4ODgkAmNCCzMnJdrXeBUrg4ODg4ODg4OYxyO0Dk4ODg4ODhkAkOgcq33p5H42te+hve85z1oaWnBxIkTrWU2bNiAk08+GS0tLZg6dSq++MUvolwup9a7Y8cOnHnmmWhvb8fEiROxYsUK7N27t0GjqAxH6BwcHBwcHBwygfHAy7Wen0arXAcHB3H66afjH//xH63nfd/HySefjMHBQTz22GP48Y9/jNtuuw1XXXVVar1nnnkmXnzxRTzwwAP41a9+hT/+8Y/4zGc+06BRVAbh3CmvHRwcHBwcHNKxbNky9N7/BN5O2upa7xY+gMdmEGzatKmu9Zq47bbb8PnPfx67du2KHL///vvx3/7bf8OmTZswbdo0AMAtt9yCyy+/HNu2bUOhUIjV9fLLL+Pwww/HU089hWOPPRYA8Otf/xrLli3Dm2++iZkzZzZ0LDY4CZ2Dg4ODg4NDJjRC5cpGeEyrV6/GEUccocgcACxduhS7d+/Giy++mHjNxIkTFZkDgCVLloBSiieeeGJY+m3Cebk6ODg4ODg4VMTL9z+EyYhLq4aKHvjYs3kHdu/eHTleLBZRLBbr3p6Jrq6uCJkDoL53dXUlXjN16tTIsVwuh0mTJiVe02g4CZ2Dg4ODg4NDRfzw/92DP2MP+usYOY6DYw12oQN5dHR0RD7XX3994nVXXHEFCCGpn1deeaVu/RwLcBI6BwcHBwcHh4r4+7//e0xFAc+iG4swqS51vooeDIBh/a5tIIREzqVJ5y677DKcd955qXXPnTs3Ux+mT5+OJ598MnJsy5Yt6lzSNVu3bo0cK5fL2LFjR+I1jYYjdA4ODg4ODg6ZcO+fnsDRR74Tb0cb2pEfUl1lMDyFXfjB7T9BR0dHVdd2dnais7NzSO1LLFq0CF/72tewdetWpUZ94IEH0N7ejsMPPzzxml27dmHNmjU45phjAAC/+93vwBjDwoUL69KvauFUrg4ODg4ODg6ZsGDBAhyCFjyJXRlKp+PP2IMmePjEJz5Rl74lYcOGDXjuueewYcMG+L6P5557Ds8995yKGfehD30Ihx9+OM4++2z86U9/wm9+8xt8+ctfxoUXXqikhE8++STmz5+PjRs3AgAOO+wwnHjiiTj//PPx5JNP4tFHH8VFF12ET3ziEyPi4QpH6BwcHBwcHByqwW//9greQB+2YqDmOvrg4zl04xe/+zUobSwVueqqq3DUUUdh5cqV2Lt3L4466igcddRRePrppwEAnufhV7/6FTzPw6JFi3DWWWfhnHPOwbXXXqvq6O3txdq1a1EqldSx22+/HfPnz8fixYuxbNkyvO9978MPf/jDho4lDS4OnYODg4ODg0NVOJp0oAsDOAXTQEAyXBHFo9iB3SjjDd7bkP6NRzgJnYODg4ODg0NVeKj7b9iJEt5AX9XXdqOEl7EX97/4dEP6Nl7hCJ2Dg4ODg4NDVWhvb8e3//d38QR2gqE6Rd+T2IW3YUKiw4FDbXAqVwcHBwcHB4eqUSqV0FlowQK043BkSwfWhQHciy3YsGkjZsyY0fA+jic4CZ2Dg4ODg4ND1cjn8/jRv/8cT2MXBjMk8OLgeBw7sQDtjsw1AE5C5+Dg4ODg4FATOOeYSZsxE034O0xMLftX9OIRbMfWPd1obW0dtj6OFzgJnYODg4ODg0NNIITg7sd+j+exGz0oJ5bzwfEkduKGW252ZK5BcBI6BwcHBwcHhyHhYDIBBVB8AJOt51/AHryI3dhW6kMu55JUNQJOQufg4ODg4OAwJPz6L8/hVfRgBwZj5wbBsAa78ON7/t2RuQbCSegcHBwcHBwchowjSDt2o4yTMDVy/EnsRBcGsJH1gZDqgxA7ZIOT0Dk4ODg4ODgMGb/f9ld0oR8b0a+O7UUZf8Ye3PPkw47MNRhOQufg4ODg4OBQFywk++Gv6MVpmA4CgofwFsrgWMd7Rrpr+zycMtvBwcHBwcGhLniodxM6W9qwDr2YhDzWoRd/Wb9upLs1LuBUrg4ODg4ODg51QXNzM2667VY8iZ1YjZ04HK2YO3fuSHdrXMCpXB0cHBwcHBzqBt/3MS3XjD3wsXn7NkyaNGmkuzQu4FSuDg4ODg4ODnWD53l46q9rsWfPHkfmhhFOQufg4ODg4ODgMMbhbOgcHBwcHBwcHMY4HKFzcHBwcHBwcBjjcITOwcHBwcHBwWGMwxE6BwcHBwcHB4cxDkfoHBwcHBwcHBzGOByhc3BwcHBwcHAY43CEzsHBwcHBwcFhjMMROgcHBwcHBweHMY7/D8BKw1hmJt6+AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_nonlinear_data.plot_field(\n",
    "    field_monitor_name=\"field before pulse\", field_name=\"Ez\", vmin=-10, vmax=10\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "0ea96b89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_nonlinear_data.plot_field(\n",
    "    field_monitor_name=\"field after pulse\", field_name=\"Ez\", vmin=-10, vmax=10\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01db295b",
   "metadata": {},
   "source": [
    "## Analytic Solution\n",
    "\n",
    "The analytic transmission we should expect to get is given by the formula in Yanik et al.:\n",
    "\n",
    "<center>$\\frac{dS_{ref}}{dt}=i\\omega_{res}(1-\\frac{1}{2Q}\\frac{|S_{ref}|^2}{P_0})S_{ref}-\\gamma S_{ref}-\\gamma S_{in}$</center>\n",
    "\n",
    "where $P_{in}=|S_{in}|^2$ and $P_{ref}=|S_{ref}|^2$ are the input power and reflected power, respectively.\n",
    "\n",
    "## Transmission\n",
    "\n",
    "The transmission flux oscillates according to the source. In the figure from Yanik et al., the output results are the peak power with each optical period. We thus define a function that finds the peak power with each optical period:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "642e9ed1",
   "metadata": {},
   "outputs": [],
   "source": [
    "def rolling_max(sig, freq, dt):\n",
    "    interval = int(1 / (dt * freq))\n",
    "    N = len(sig) // interval\n",
    "    times = np.linspace(0, (len(sig) - interval) * dt, N - 1)\n",
    "    sig_max = np.zeros(N - 1)\n",
    "    for i, t in enumerate(times):\n",
    "        start = int(t / dt)\n",
    "        stop = start + interval\n",
    "        sig_max[i] = np.max(sig[start:stop])\n",
    "    return times, sig_max"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27818574",
   "metadata": {},
   "source": [
    "We plot the analytically calculated transmission against the source. This transmission matches Figure 4 from Yanik et. al. Errors in our calculations are likely due to reflections in the boundary (parameters in the DBR boundary condition), meshing size, and cavity characteristic power calculation. Differences between Tidy3D calculations and the theoretical curve may also be due to the fact that the theoretical curve does not take higher harmonics due to nonlinearity into account."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "6bcbb5a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "times_nonlinear, nonlinear_transmission = rolling_max(\n",
    "    sim_nonlinear_data[\"flux t\"].flux.data, detuned_freq, sim_nonlinear.dt\n",
    ")\n",
    "\n",
    "\n",
    "# integrate a complex velocity f(x, t) using forward euler\n",
    "def integrate(f, num_steps, T):\n",
    "    dt = T / num_steps\n",
    "    integral = np.zeros(num_steps, dtype=complex)\n",
    "    time = 0\n",
    "    for time_step in range(1, num_steps):\n",
    "        x0 = integral[time_step - 1]\n",
    "        integral[time_step] = x0 + dt * f(x0, time)\n",
    "        time += dt\n",
    "    return integral\n",
    "\n",
    "\n",
    "interp_values = np.abs(source_time.amp_time(times_nonlinear)) * np.sqrt(2 * detuned_transmission)\n",
    "\n",
    "power_input = scipy.interpolate.interp1d(times_nonlinear, interp_values)\n",
    "\n",
    "\n",
    "def f(x, t):\n",
    "    return 1j * gamma * (detuning - np.abs(x) ** 2 / P_0) * x - gamma * x - gamma * power_input(t)\n",
    "\n",
    "\n",
    "nt = len(times_nonlinear)\n",
    "tmax = times_nonlinear[-1]\n",
    "dt = tmax / nt\n",
    "res = integrate(f, num_steps=nt, T=tmax)\n",
    "\n",
    "Sin = power_input(times_nonlinear)\n",
    "Sref = res\n",
    "\n",
    "Pin = np.abs(Sin) ** 2\n",
    "Pout = np.abs(Sin + Sref) ** 2\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(6, 5))\n",
    "ax.set_xlabel(r\"t$\\gamma$\")\n",
    "ax.set_ylabel(\"$P/P_0$\")\n",
    "\n",
    "plt.plot(times_nonlinear * gamma, Pin / P_0, label=\"Input power\")\n",
    "plt.plot(times_nonlinear * gamma, Pout / P_0, label=\"Analytic\")\n",
    "plt.plot(times_nonlinear * gamma, nonlinear_transmission / P_0, label=\"Tidy3D\")\n",
    "\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Photonic crystals"
  ],
  "description": "This notebook demonstrates how to achieve bistability in a photonic crystal through nonlinearity in Tidy3D FDTD.",
  "feature_image": "./img/bistability.png",
  "features": [
   "Resonance finder",
   "Nonlinear material"
  ],
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "keywords": "nonlinearity, Kerr, feedback, bistability, photonic crystal, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  },
  "title": "Bistability through Nonlinearity in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
