{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a65a6737",
   "metadata": {},
   "source": [
    "# Session 3: Designing Filters and Reflectors"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47e433db",
   "metadata": {},
   "source": [
    "A [distributed Bragg reflector](https://en.wikipedia.org/wiki/Distributed_Bragg_reflector) (DBR) is a multilayer structure consisting of alternating layers of high refractive index and low refractive index. When the thickness of each layer is close to a quarter of the medium wavelength, nearly perfect reflection occurs due to constructive interference of the reflected waves at each layer. DBR is commonly used at optical and UV wavelengths because metallic reflectors have a high loss at high frequencies. Besides free space optics, similar concepts have also been applied to integrated photonics and fiber optics. Furthermore, high-Q cavities based on DBR structures are widely popular in lasers, filters, and sensors.\n",
    "\n",
    "Sometimes, for instance, in the coating of Fabry-Perot interferometers, the DBR starts and ends with the higher refractive index thin film. In this case, when considering quarter-wave thin films at normal light incidence, the reflectance $R_{N+1}$ is given by [1]\n",
    "\n",
    "$$\n",
    "R_{N+1} = \\left(\\frac{n_{s}n_{0}(n_{1})^{2N} - n_{2}^{(2N+2)}}{n_{s}n_{0}(n_{1})^{2N} + n_{2}^{(2N+2)}}\\right)^{2},\n",
    "$$\n",
    "\n",
    "where $N$ is the number of layer pairs, $n_{0}$ is the air refractive index, $n_{s}$ is the substrate refractive index, $n_{1}$ is the lower refractive index, and $n_{2}$ is the higher refractive index. The layer thicknesses are calculated by $n_{1}t_{1} = n_{2}t_{2} = \\lambda/4$ ($\\lambda$ is the light wavelength).\n",
    "\n",
    "\n",
    "<center><img src=\"DBR.png\" width=400 alt=\"Schematic of the DBR and cavity\"></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f333a270",
   "metadata": {},
   "source": [
    "## Activity 1\n",
    "\n",
    "In this activity, we will walk you through the design of a DBR thin film reflector, calculate its reflectance spectrum, and compare its value at the center wavelength with the one obtained by the analytical expression. Please see the [Distributed Bragg reflector and cavity](https://www.flexcompute.com/tidy3d/examples/notebooks/DistributedBraggReflectorCavity/) example and use it as a reference. \n",
    "\n",
    "We will also demonstrate how to make frequency-domain animation and time-domain animation."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4daceb21",
   "metadata": {},
   "source": [
    "### Step 1\n",
    "\n",
    "Start by including the necessary libraries below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "67c41dde",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c61ae6f2",
   "metadata": {},
   "source": [
    "### Step 2\n",
    "\n",
    "Define the mediums you will need to build the DBR. Consider $n_{0} = 1$, $n_{s} = 1.52$, $n_{1} = 1.35$, and $n_{2} = 2.30$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9eb55a25",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_0 = 1.00  # air refractive index.\n",
    "n_1 = 1.35  # lower refractive index.\n",
    "n_2 = 2.30  # higher refractive index.\n",
    "n_s = 1.52  # substrate refractive index.\n",
    "\n",
    "medium_0 = td.Medium(permittivity=n_0**2)\n",
    "medium_1 = td.Medium(permittivity=n_1**2)\n",
    "medium_2 = td.Medium(permittivity=n_2**2)\n",
    "medium_s = td.Medium(permittivity=n_s**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d07af052",
   "metadata": {},
   "source": [
    "### Step 3\n",
    "\n",
    "Calculate the layer thicknesses $t_{1}$ and $t_{2}$ considering $\\lambda = 0.546$ $\\mu m$, and create a DBR structure with $N = 4$ pairs plus a starting high index thin film."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0ff21e20",
   "metadata": {},
   "outputs": [],
   "source": [
    "lda0 = 0.546  # light wavelength.\n",
    "N = 4  # number of layer pairs.\n",
    "t_1 = lda0 / (4 * n_1)  # lower refractive index thin film thickness.\n",
    "t_2 = lda0 / (4 * n_2)  # higher refractive index thin film thickness.\n",
    "z_0 = 0  # z coordinate of the layer (modify as needed).\n",
    "inf_eff = 10  # effective infinity in this model.\n",
    "run_time = 1e-13  # simulation run time\n",
    "\n",
    "DBR = []  # holder for the DBR structure.\n",
    "\n",
    "# build the substrate structure.\n",
    "sub = td.Structure(\n",
    "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)),\n",
    "    medium=medium_s,\n",
    ")\n",
    "DBR.append(sub)\n",
    "\n",
    "# build the first layer.\n",
    "layer_1 = td.Structure(\n",
    "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, t_2)),\n",
    "    medium=medium_2,\n",
    ")\n",
    "DBR.append(layer_1)\n",
    "z_0 = t_2\n",
    "\n",
    "# include the N pairs of layers alternatively.\n",
    "for i in range(2 * N):\n",
    "    if i % 2 == 0:\n",
    "        DBR.append(\n",
    "            td.Structure(\n",
    "                geometry=td.Box.from_bounds(\n",
    "                    rmin=(-inf_eff, -inf_eff, z_0),\n",
    "                    rmax=(inf_eff, inf_eff, z_0 + t_1),\n",
    "                ),\n",
    "                medium=medium_1,\n",
    "            )\n",
    "        )\n",
    "        z_0 = z_0 + t_1\n",
    "    else:\n",
    "        DBR.append(\n",
    "            td.Structure(\n",
    "                geometry=td.Box.from_bounds(\n",
    "                    rmin=(-inf_eff, -inf_eff, z_0),\n",
    "                    rmax=(inf_eff, inf_eff, z_0 + t_2),\n",
    "                ),\n",
    "                medium=medium_2,\n",
    "            )\n",
    "        )\n",
    "        z_0 = z_0 + t_2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8a2c413",
   "metadata": {},
   "source": [
    "### Step 4\n",
    "\n",
    "Above the DBR structure, include a plane wave excitation source normally incident to the top thin film surface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cbb5716b",
   "metadata": {},
   "outputs": [],
   "source": [
    "thickness = t_2 + N * (t_1 + t_2)  # MODIFY this value to include the DBR multilayer thickness.\n",
    "src_z_pos = thickness + 3 * lda0  # source position.\n",
    "freq0 = td.C_0 / lda0  # source frequency.\n",
    "fwidth = 0.5 * freq0  # width of the frequency distribution.\n",
    "freqs = freq0 * np.linspace(0.5, 1.5, 1001)  # frequency range of interest.\n",
    "\n",
    "plane_wave = td.PlaneWave(\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    center=(0, 0, src_z_pos),\n",
    "    direction=\"-\",\n",
    "    pol_angle=0,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d854ed2",
   "metadata": {},
   "source": [
    "### Step 5\n",
    "\n",
    "Include a flux monitor above the plane wave source to measure the reflectance and a field monitor at the `xz` plane to calculate the electromagnetic field distribution. In addition, a field time monitor should be included to create an animation of pulse propagation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7d364c0b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Flux monitor to measure the reflectance.\n",
    "flux_monitor = td.FluxMonitor(\n",
    "    center=(0, 0, src_z_pos + lda0 / 4),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=freqs,\n",
    "    name=\"R\",\n",
    ")\n",
    "\n",
    "# Field monitor to visualize the EM field distribution.\n",
    "field_xz = td.FieldMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, 0, td.inf),\n",
    "    freqs=[freq0],\n",
    "    name=\"field_xz\",\n",
    "    interval_space=(10, 1, 1),\n",
    ")\n",
    "\n",
    "# Field time monitor to record animation frames\n",
    "movie_monitor = td.FieldTimeMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, 0, td.inf),\n",
    "    fields=[\"Ex\"],\n",
    "    start=0,\n",
    "    stop=run_time / 2,\n",
    "    interval=5,\n",
    "    interval_space=(100, 1, 3),\n",
    "    name=\"movie\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2627a88f",
   "metadata": {},
   "source": [
    "### Step 6\n",
    "\n",
    "Build the FDTD simulation. First, define the simulation domain size. As we have translational symmetry in the `xy` plane, we could set the dimensions in the `x`- and `y`-directions to zero and run a 1D simulation. However, as we want to see the Fourier-transformed field distribution, we will set a 2D simulation. The dimension in the `z`-direction is calculated based on the DBR multilayer thickness. To avoid evanescent waves within the absorbing boundaries (which can result in divergences), you should include a minimum space of $\\lambda/2$ between the top and bottom DBR layers and the edges of the simulation domain in the `z`-direction.\n",
    "\n",
    "Set the simulation grid to *AutoGrid* with 60 steps per wavelength. Include periodic boundary conditions in the `x`- and `y`-directions, as well as PML boundaries in the `z`-directions, to absorb the outgoing waves completely. Set the simulation run time to 1 ps and the shutoff to 1e-7 to increase simulation accuracy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fb9c28f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "Lx = 1  # Domain size in x-direction.\n",
    "Ly = 0  # Domain size in y-direction.\n",
    "Lz = 10 * thickness  # Domain size in z-direction.\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=(Lx, Ly, Lz),  # simulation domain size.\n",
    "    center=(0, 0, thickness / 2),\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=60, wavelength=lda0),\n",
    "    structures=DBR,\n",
    "    sources=[plane_wave],\n",
    "    monitors=[flux_monitor, field_xz, movie_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec(\n",
    "        x=td.Boundary.periodic(), y=td.Boundary.periodic(), z=td.Boundary.pml()\n",
    "    ),  # pml is applied in the z-direction.\n",
    "    shutoff=1e-7,\n",
    ")  # early shutoff level is decreased to 1e-7 to increase the simulation accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f191fc6",
   "metadata": {},
   "source": [
    "### Step 7\n",
    "\n",
    "Check the simulation setup to verify if all the components are in their correct places and run the simulation. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0a24a3bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visulize the simulation setup.\n",
    "ax = sim.plot(y=0)\n",
    "ax.set_aspect(0.6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "458f32dd",
   "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\">15:39:22 -03 </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'DBR'</span> with task_id                                    \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:22 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'DBR'\u001b[0m with task_id                                    \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767'\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-0bc42663-d6c6-4b14-9d67-c49e741ea767\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">6-4b14-9d67-c49e741ea767'</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=309583;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=408856;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=309583;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=201774;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=309583;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[32m-0bc42663-d6c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=309583;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[32m6-4b14-9d67-c49e741ea767'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fe58d9dfb38a4e0b81b5679bf977ee7b",
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       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:39:25 -03 </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:25 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bb1ab9592fd04ce78f5ff890d9096011",
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       "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\">15:39:29 -03 </span>status = preprocess                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:29 -03\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\">15:39:35 -03 </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>the billed FlexCredit cost after a simulation run.                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:35 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.025\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get\n",
       "\u001b[2;36m             \u001b[0mthe billed FlexCredit 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\">             </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \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": {
      "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"
    },
    {
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      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:39:43 -03 </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">76</span>%, exiting.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:43 -03\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m76\u001b[0m%, exiting.                            \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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:39:44 -03 </span>status = postprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:44 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c03dbaa3833a49d7911915eb8b50d93f",
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       "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\">15:39:49 -03 </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:49 -03\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-0bc42663-d6c6-4b14-9d67-c49e741ea767\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">6-4b14-9d67-c49e741ea767'</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=109478;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=309319;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=109478;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=299358;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=109478;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[4;34m-0bc42663-d6c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=109478;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0bc42663-d6c6-4b14-9d67-c49e741ea767\u001b\\\u001b[4;34m6-4b14-9d67-c49e741ea767'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:39:53 -03 </span>loading simulation from data/simulation.hdf5                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:39:53 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/simulation.hdf5                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# run the simulation.\n",
    "sim_data = web.run(sim, task_name=\"DBR\", path=\"data/simulation.hdf5\", verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e982c51",
   "metadata": {},
   "source": [
    "### Step 8\n",
    "\n",
    "Verify the simulation results, calculate the DBR reflectance using the analytical expression in the introduction, and compare the results. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "831a31bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1EREREZGtuHbtmjhw4EDRz89PdHZ2FqtWrSqOGDFC1Gg0oij+tyVTUds2iWL+Fkw1atQQHR0dxYCAAPGtt94S79+/b/z+5cuXxddee00MDQ0VXVxcRF9fX7FDhw7iP//8Yzxn27Zt4gsvvCAGBweLTk5OYnBwsNivXz/x/PnzT6y9uNdptVpxxowZYu3atUVnZ2exTJkyYnh4uDhlyhQxNTW1wLlLliwRGzZsaDyvXbt24tatW43fT05OFrt16yZ6enqKAIzbMz26JZPBqlWrjPfz9fUVX3nlFfHGjRsFzhk0aJDo7u5e6OebNGmSWJxos3fvXrF58+aiq6urGBwcLH700Ufi5s2bC9WTkZEh9u/fX/Tx8REBFHt7ppkzZ4oAxGnTphXrfFMsXLhQDAsLE52cnMTQ0FDxq6++KrAFlij+9zo8+tpmZ2eLH3zwgRgYGCg6OzuLTZo0ETdt2lTkc3bv3i22bNlSdHFxEf38/MQRI0aIaWlpkv881kQQxaeM9yAiIiIiIqKn+vrrr/Hee+/h6tWrqFixotLlUDExFBMREREREZWQKIqoX78+ypYt+9RFz8i6cE4xERERERGRmTIzM/HHH39g+/btOHXqFH7//XelSyITsaeYiIiIiIjITFevXkWVKlXg4+ODt99+G59//rnSJZGJGIqJiIiIiIio1OI+xURERERERFRqMRQTERERERFRqVXqFtrS6/VISkqCp6cnBEFQuhwiIiKSmSiKSE9PR3BwMFQq9g9Q6cX3xdLj3y+2qdSF4qSkJISEhChdBhERESns+vXrqFChgtJlECmG74stR8m/X7Zu3YpnuzyHIwdj0ahRI0VqsDWlbqGt1NRU+Pj44Pr16/Dy8lK6HCIiIpJZWloaQkJC8ODBA3h7eytdDpFiDO+LL1y8CE9PT6XLsQvp6el4plo1xf5+0el0cPDwB/S5EJw8oEtL5CiAYih1PcWGXwovLy+GYiIiolKMbxSptDP8f8DZzQMu7gzFUtDq8vsblfr7xblqB0CnhUP155B37jds2rQJXbp0UaQWW1LqQjEREREREf3naHIm3DM4/1UKmRmZij07OzsbuptHoQ4Oh+DoClVgfXTt2R95GXegVqsVq8sWMBQTEREREZVif5y6CSe3dKXLsAvarAzFnu0R2gaCgwsEn6oAAFXZGtDfPgvnKu2Ql7BHsbpsgaKheNeuXZg1axaOHDmCmzdv4rfffkOPHj2eeM2OHTsQFRWF06dPIyQkBBMmTMDgwYNlqZeIiIiIyN5ka3XQOeiULsMuaLXKvI63b9+GPuUk1FU6GYduCyo11EHh0CUeQGZmJtzd3RWpzRYoOk4iMzMT9evXx9y5c4t1/pUrV9CtWzd06NABx48fx7vvvos33ngDmzdvtnClVNplaPKULoGIiIjIItQqgU3CpoTAWu0geARA5RlU4LjgUxmCkwe8qrVRpC5boWhPcZcuXUya+L1gwQJUqVIFX375JQCgZs2a2LNnD7766itERkZaqkwq5eISU9Fj7l6sH9EKdcpzlVIiIiKyL4HeLnB2c1G6DLugcZS/I+XixYvQ3z0Ph7DnC31PEASogptAd3kLUlJSEBAQIHt9tsCm5hTHxsYiIiKiwLHIyEi8++67yhREpcKfJ5KQpxfx58kkhmIiIiKyO/7eznB1ZyiWQrZjruzPrN74/yD4hkJw8Sny+yqPAOg9gxFcuz10d87KW5yNsKlQnJycXOjTjYCAAKSlpSE7Oxuurq6FrtFoNNBoNMav09LSLF4n2Q9RFPHniSQAwF8nbmJs5xrcwoOIiIjsSo2yHnD39FC6DLuQ6SLK+rzY2FiI6TfgULPXE89TBzVGXvzvOHfuHGrUqCFTdbbDpkKxOaKjozFlyhSlyyAbdTopDUmpOQCAxAfZOHMzDbWD2VtMRERE9iPYywkens5Kl2EXMgTN00+SiCiKaPV/PaDyqwPB0e2J5wou3lD5PoNazSOhf3BNpgpth02F4sDAQKSkpBQ4lpKSAi8vryJ7iQFg3LhxiIqKMn6dlpaGkJAQi9ZJtunirQycvVlwJME/Z1OgVgnQ6UWoBQGLdl1Gp5oFRyvUDPJCNX9+ukpERES2KcTDEV6ejkqXYRfSRPlex/Xr10PUpENdtU6xzlcFNkDe2bXYvXs32rThwlsPs6lQ3KJFC2zcuLHAsa1bt6JFixaPvcbZ2RnOzvzki57uiy3x2BSX/Njv60QR648nYf3xpALHu9QJxPxXwy1dHhEREZFFON66AMdsfsAvBcd0efYpzs3NRc9+g6EKbABBXbwgLji6QuVfB+0694IuI4VTAh+iaCjOyMjAxYsXjV9fuXIFx48fh6+vLypWrIhx48YhMTERP/zwAwBg+PDh+Pbbb/HRRx/htddeQ0xMDFavXo0NGzYo9SOQDcrJycHNmzeRlJSEpKQk3Lx5E8nJychJuQXVyUtISrkD6HUQRT0g6gG9HqKohyCooHLxgMrVC2o3b6hcvVC/Wgia1q6LbdseoFy5csbGD2KIiIjIVuhvJ0Cf9eTht1Q8+swsWZ7jUqUtAAGqstVNuk7lXwd5d+OxZs0avPzyy5YpzgYpGooPHz6MDh06GL82DHMeNGgQli1bhps3byIhIcH4/SpVqmDDhg1477338PXXX6NChQr4/vvvuR0TQRRF5OTk4NatW8awawi8D3+dlJSE+/fvS/bcXXuBXcsLH/f09CwQkh9tZcuWhZeXFzw9PQs1BwebGsBBRERENk575Qy03JJJEtqsHFmeI6bfgKpcGARBZdJ1gsoBKt9n0Hf4eIbihyj67rt9+/YQxcev0LZs2bIirzl27JgFqyJrIooiLl26hJMnT+L69eu4fv06bty4gbt37+LBgwdITU01/q9Wqy32fV1cXBAcHIzg4GAEBQUhMDAQfn5+KFeuHHx9fXEvW4fPNp5Drl7IH1oiqABRD11OBlSadPSu4w1dVhru3LmD27dv486dO7hz5w7u3r0LnU6H9PR0pKen48qVKyb/zG5ubvDy8irQvL29jf/r7+9vbMHBwahevTq8vbn4FxEREZkn5+4DOGZylJsUcnLkWWira5v62HTyAQSV2uRrBZUDBjzfygJV2S52SZFVOnDgAJYtW4Z169bh1q1bxb7OycnJGHQNoffhZjju4+PzxHkUV+9kYsY5bzxuhsZHH7ZHpbLuhY7r9XqkpqYaQ/LDgfnRZgjOhpabm7+vXVZWFrKyspCc/Pj5zY8KCAhAo0aN0KpVK7Rp0wYtWrSAoyMXzCAiIqKny76dCgdnJ6XLsAvZmuJ30pSUIKjMCsUwsXe5NGAoJqty8OBBfPzxx9i2bZvxmJOTE+rVq4cqVaogJCQEISEh8PPzg7e3N3x8fODt7W1sXl5ekiwa8HdcMlQCoBfx3+rT//6vSsj//vB2oYWuU6lUKFOmDMqUKYNnnnnGpGdqNBpjQE5NTUVaWlqhdv/+fdy+fRu3bt3CrVu3cO3aNSQnJyMlJQV///03/v77bwCAr68vunfvjt69eyMyMpJDsomIiOixRJ0eok6vdBl2QdbXUSWY11PMBbYK4TtlsgpZWVmYMGEC5syZA1EU4ejoiL59+2LAgAFo27at7AtX/XUyCfp/R/Y3reyL8d1q4rMNZ7H/8l3oReCvE0lFhuKSMKyUXq5cOZOuS0tLw7lz53DgwAHs2bMHMTExuHPnDpYvX47ly5ejQoUKeOONNzBs2DAEBQVJWjMRERHZPrWzE9Qu7CmWghn9tmZjT7F0GIpJcQkJCejRo4dxrvirr76Kzz77DJUqVVKknsQH2TidlAaVAHzUuQaGtakKlUrAyjea4btdlzFr8znEJaUh6UE2gn2K3h9bTl5eXmjatCmaNm2KUaNGQafTYe/evVi7di1++ukn3LhxA5MnT0Z0dDTeeOMNjB07FhUqVFC6bCIiIrIS7uXLwcOVc4qloM+WZ04xSYuhmBR1/vx5tG/fHjdv3oSfnx+WL1+OLl26KFqTSgA6hPnhnYjqaBDi899xlYC32oeieVVf/G/bBVjryBO1Wo22bduibdu2mDlzJtatW4dvv/0W+/btw9y5c/H9999j3Lhx+Oijj+DqqnyoJyIiImU5+QfAyY3vCaTglJUt38MEFQS1OQttWembWAUJ4pOWf7ZDaWlp8Pb2RmpqKry8vJQup1S7du0aWrZsiaSkJNSuXRsbNmxQrHfY3omiiB07dmDSpEnYvXs3gPwtzpYsWYL27dsrWxwRkcz4XoAon+H/C/cO/Q0vj8ILiJLp0jIy4duki8X/fnnuuefwT7wGjkH1Tb5Wm7Af/dpXK3Knn9KKPcWkiKysLPTo0QNJSUmoVasWYmJi4O/vr3RZdksQBHTo0AHt27fHmjVrEBUVhStXrqBjx44YN24cJk+ezNWqiYiISildQBh0Xp5Kl2EXdGnp8j1MMG+hLasd7qgghmJSxMiRI3H8+HH4+fnh77//ZiCWiSAIePnll9G1a1e8++67WLx4MaZNm4bdu3dj3bp1Ji/yRURERLYvQ+UKQeWmdBl2IUOVJ9uzzF1oS+BCW4UwFJPsNmzYgKVLl0IQBKxevRoVK1ZUuqRSx8PDA99//z2effZZDB06FLt370bz5s2xYcMGhIWFKV0eERERyehaqhYeevn217VnGekyvo6CAEFlRsBlT3EhDMUkq/T0dAwbNgwAEBUVxfmsCnv55ZdRp04ddOvWDZcuXUKLFi2wadMmNG3aVOnSiIiISCYJqdlw0zEWSCErQ76FtszvKWYofhR/+0lW06dPR1JSEkJDQzF16lSlyyEAtWrVwoEDB/DCCy9g//79iIiIwN9//41WrVopXRoRERHJ4NLdLLjkcEitFHIys2R7lqDiPsVSYSgm2Vy9ehVffvklAOCLL77gdkBWxN/fH1u3bkX37t2xY8cOREZGYuPGjWjbtq3SpREREZGFXb+XBSeGYklos+QLxWBPsWQYikk2EydOhEajQfv27fHCCy8oXQ49wsPDAxs2bECPHj2MAXnnzp1o0KCB0qURERGRBWVrddA56JQuwy5otfK9joLKvH2KYc48ZDvHUEyyuHTpEn766ScAwKxZs/gJlZVyc3PD77//js6dO2PXrl3o3Lkz9u7di9DQUKVLIyIiIgtRqwSoVXxvJgVZX0czt2Ti6tOFMRSTLGbMmAG9Xo/IyEg0btxY6XLoCVxdXfHHH3+gXbt2OHHiBCIjI3HgwAGULVtW6dKIiIjIArxcHeHs6qh0GXZBI8r3Opq70BZXny6MoZgsLjExEcuWLQMATJgwQdliqFi8vb2xadMmtGzZEpcuXUKfPn2wadMmODjwrwwiIiJ7E+rvDld3D6XLsAvZmaJszxIEFVTsKZYE3+GSxS1cuBC5ublo1aoVWrdurXQ5VEyBgYH4448/0Lx5c2zbtg0ffvghvvrqK6XLIiIiIok94+sOd093pcuwC5nOeqVLIDMwFJNF5ebmYtGiRQCAkSNHKlwNmapOnTr44Ycf0KtXL8yZMwfh4eF49dVXlS6LiIiIJBTs5QQPT2ely7ALGYJGtmdxn2LpMBSTRf3++++4efMm/P390bNnT6XLITP07NkTn3zyCaZOnYq3334bLVu2RNWqVZUui4iIiCQS4uEIL0/OKZZCmoxzis1daIv7FBfGUEwWZZhL/Prrr8PJyUnZYshskyZNwvbt27Fnzx68+uqr2LVrF+cXExER2Ql12k2oxQyly7AL6vR02Z4lqNhTLBW+qyWLuXPnDjZv3gwAGDBggMLVUEmo1WqsWLEC9evXR2xsLKZOnYopU6YoXRYRERFJ4foZwN1N6SrsQ2aWbI8yf/Vp9hQ/iqGYLGbNmjXIy8tDw4YNUbNmTaXLoRKqXLkyFixYgP79++Pzzz/Hiy++iAYNGihdFhERUak1f/58zJ8/H1evXgUA1K5dGxMnTkSXLl1Muo/2yhlo3VwsUGHpo83Kke9hnFMsGYZispiff/4ZAPDKK68oXAlJpV+/fli3bh1+/fVXDBs2DLGxsVCrzfiEkoiIiEqsQoUKmD59Op555hmIoojly5fjhRdewLFjx1C7du1i3yfn7gM4ZnKhLSnk5Mi40JZKBcGc92HsKS6EoZgs4vbt29izZw8A4OWXX1a4GpLS119/jS1btuDQoUOYO3cuRo8erXRJREREpVL37t0LfP35559j/vz52L9/v0mhOPt2KhycufaLFLI1WvkeZuZCW+wpLoyhmCxi48aNEEURDRs2REhIiNLlkISCg4MxY8YMvPXWWxg/fjxefvllBAYGKl0WERFRqabT6bBmzRpkZmaiRYsWRZ6j0Wig0fzXk5mWlgYAEHV6iDrurysFOV9HzimWDl8Rsog//vgDQOFPMMk+DBs2DE2aNEFGRgY++eQTpcshIiIqtU6dOgUPDw84Oztj+PDh+O2331CrVq0iz42Ojoa3t7exGTou1M5OULuwSdLk7HH/NxSb3EoQiqdPnw5BEPDuu+8aj+Xk5GDEiBEoW7YsPDw80KtXL6SkpEjwA8qHPcUkOY1Ggy1btgAAnn/+eYWrIUtQqVT46quv0Lp1ayxevBgjR45E/fr1lS6LiIio1AkLC8Px48eRmpqKX3/9FYMGDcLOnTuLDMbjxo1DVFSU8eu0tDSEhITAuYw7nF04p1gKWhnnFKtUgEpl+lBoczPxoUOH8N1336FevXoFjr/33nvYsGED1qxZA29vb4wcORI9e/bE3r17zXuQAhiKSXL79u1DRkYGAgMD0ahRI6XLIQtp1aoVXn75ZaxevRpRUVH4559/OEeFiIhIZk5OTqhWrRoAIDw8HIcOHcLXX3+N7777rtC5zs7OcHYuHH7dKleGu5urxWstDXRZ2fI9TBAgmBOKzXi/lpGRgVdeeQWLFi3CZ599ZjyempqKxYsXY+XKlejYsSMAYOnSpahZsyb279+P5s2bm/wsJTAUk+RiYmIAAJ06dWJIsnMzZszA77//jpiYGMTExKBTp05Kl0RERFSq6fX6AvOGi8Opah04ebhbqKLSxSkjU7ZnCRDMfq+t0+mMc8oNHvehCQCMGDEC3bp1Q0RERIFQfOTIEeTm5iIiIsJ4rEaNGqhYsSJiY2MZiqn0ejgUk32rXLky3nzzTfzvf//DJ598go4dO/KDECIiIpmMGzcOXbp0QcWKFZGeno6VK1dix44d2Lx5s0n30fsEQ+/paaEqSxe9Q7rSJRTLqVOn4O3tXeDYpEmTMHny5ELn/vLLLzh69CgOHTpU6HvJyclwcnKCj49PgeMBAQFITk6WsmSLYigmSaWnp+PgwYMAYBxCQfZt7NixWLhwIWJjY7F582Z07txZ6ZKIiIhKhVu3bmHgwIG4efMmvL29Ua9ePWzevBn/93//Z9J90l39ATcvC1VZuqTnyTcMXTB3TrEgoG7duti1a1eB40X1El+/fh3vvPMOtm7dChcXF7NrtXYMxSSp3bt3Iy8vD1WrVkWlSpWULodkEBQUhBEjRuDLL7/EJ598gsjISPYWExERyWDx4sWS3OdOdh5yHPIkuVdpl5Et3+somD2nGFCr1fDyevoHIUeOHMGtW7cKrBOk0+mwa9cufPvtt9i8eTO0Wi0ePHhQoLc4JSXFprbsZCgmSe3evRsA0KFDB4UrITl99NFHmD9/Pg4fPox//vnH5E+oiYiISDlnb2fCLZs7tUohS8Y5xRBgViiGCZ0XnTp1wqlTpwocGzJkCGrUqIExY8YgJCQEjo6O2LZtG3r16gUAiI+PR0JCwmP3y7ZGDMUkqdjYWABAy5YtFa6E5OTv74833ngD//vf/zBz5kyGYiIiIhty/nYmXLI4yksKOZnyLrSlMmN0nimXeHp6ok6dOgWOubu7o2zZssbjr7/+OqKiouDr6wsvLy+MGjUKLVq0sJlFtgCGYpJQXl6ecQK+LX0yRNJ47733MHfuXPzzzz84evQot+MiIiKyEfcytXAWtUqXYRc0WfK9joJKvi2ZnuSrr76CSqVCr169oNFoEBkZiXnz5kn6DEtjKCbJnDx5EllZWfDx8UFYWJjS5ZDMKleujD59+mDlypX44osvsHLlSqVLIiIiomK4n6mFE0OxJLRyhmKzh0+X7Lk7duwo8LWLiwvmzp2LuXPnluzGCuLkAZKMYeh0s2bNoFLxV6s0+vDDDwEAq1atwrVr1xSuhoiIiMh+CYIAlcr0xgVRC2NPMUlm//79ADh0ujRr0KABOnbsiJiYGCxcuBCff/650iURERHRU5Rxd4Kzm5PSZdgFjSDj6yjkb8tk8mXMxIUwFJNkjhw5AgBo2rSpwpWQkt5++23ExMTg+++/x6RJk+DkxH9kiYiIrFmovztc3T2ULsMuZGeKsj1LEKSfH1xaMRSTJLKyshAfHw8AaNiwocLVkJKef/55BAcHIykpCevWrUPfvn2VLomIiIieIMDdGW4ezkqXYReyIOec4vzh0OZcRwUxFJMkTp48Cb1ej4CAAJvaqJuk5+joiGHDhmHy5MmYN28eQzEREZGVq+HnBg9Pd6XLsAsZrjrZniUI5q4+bYFibBxDMUni2LFjANhLTPmGDh2KqVOnYvfu3YiLiyu0vx0RERFZj7IuDvByZSyQgnOujK+j2atPMxU/ir/9JAmGYnpYcHAwunfvjvXr1+OHH37AzJkzlS6JiIiIHsMzKxme6kyly7ALYla6bM9SCQJUZgRcZuLCGIpJEgzF9KhBgwZh/fr1+PHHHzFt2jQ4OPCvGyIiIqt0/Qzg7qZ0FfYhM0vpCsgMfJdKJabT6RAXFwcAqF+/vsLVkLXo2rUrfH19cfPmTWzbtg2RkZFKl0RERERFyLt1A3luLkqXYRfysnLke5iZw6fzF9qSb5VsW8BQTCV29epV5OTkwNnZGaGhoUqXQ1bCyckJ/fr1w9y5c/HDDz8wFBMREVmprIQEqF24+rQUsnI0sj3L3IW2wOHThSgeiufOnYtZs2YhOTkZ9evXxzfffPPEfW7nzJmD+fPnIyEhAeXKlcNLL72E6OhouLjw0y2lnD17FgAQFhYGtVqtcDVkTQYOHIi5c+fit99+Q1paGry8vJQuiYiIiB6huZ8JJ5dcpcuwC5ocGbdkUpVkSyb2FD9M0VC8atUqREVFYcGCBWjWrBnmzJmDyMhIxMfHw9/fv9D5K1euxNixY7FkyRK0bNkS58+fx+DBgyEIAmbPnq3AT0DAf6G4Zs2aCldC1qZJkyaoUaMGzp07h99++w2DBg1SuiQiIiJ6hE6jhXwbCdk3nUa+UAyYt+cwO4oLUzQUz549G0OHDsWQIUMAAAsWLMCGDRuwZMkSjB07ttD5+/btQ6tWrdC/f38AQOXKldGvXz8cOHBA1rqpIIZiehxBENC3b19MnjwZa9euZSgmIiKyQmpnJ6hdnJQuwy7IOWZSEABBZcaF5lxj5xQLxVqtFkeOHMG4ceOMx1QqFSIiIhAbG1vkNS1btsSPP/6IgwcPomnTprh8+TI2btyIAQMGyFU2FeHMmTMAGIqpaL169cLkyZOxefNmDqEmIiKyQs5l3OHMOcWS0Mo8p9j84dP0MMVC8Z07d6DT6RAQEFDgeEBAAM6dO1fkNf3798edO3fQunVriKKIvLw8DB8+HB9//PFjn6PRaKDR/PfLmZaWJs0PQAAAURTZU0xPVLt2bVSvXh3nz5/Hhg0b0K9fP6VLIiIiooe4Va4MdzdXpcuwC7qsbNmeJajMXX3aAsXYOMUX2jLFjh07MG3aNMybNw/NmjXDxYsX8c4772Dq1Kn45JNPirwmOjoaU6ZMkbnS0uPmzZtIS0uDSqVC9erVlS6HrJAgCOjVqxeio6Oxdu1ahmIiIiIr4+BXAQ4e3KdYCg4Zcu5TLJjZ68tU/CjFQnG5cuWgVquRkpJS4HhKSgoCAwOLvOaTTz7BgAED8MYbbwAA6tati8zMTAwbNgzjx4+HSlV4gPy4ceMQFRVl/DotLQ0hISES/iSl24ULFwAAVapUgbMzh91Q0QyheOPGjcjMzIS7u7vSJREREZFBSC3A01PpKuxDerpsj1KZPXzaAsXYOMVCsZOTE8LDw7Ft2zb06NEDAKDX67Ft2zaMHDmyyGuysrIKBV/DFkCiWPSy4s7OzgxrFnTp0iUA4P7E9ESNGjVC5cqVcfXqVWzatAm9evVSuiQiIiL6V6K6LNLUXPNDCulqGRcsM3v4NFPxoxQdPh0VFYVBgwahcePGaNq0KebMmYPMzEzjatQDBw5E+fLlER0dDQDo3r07Zs+ejYYNGxqHT3/yySfo3r0798dVyOXLlwEAVatWVbgSsmaCIKBnz56YPXs2/vzzT4ZiIiIiK7L/ehpcPbhvrRSyM+TtKVabEYrNuMTuKRqK+/Tpg9u3b2PixIlITk5GgwYNsGnTJuPiWwkJCQV6hidMmABBEDBhwgQkJibCz88P3bt3x+eff67Uj1DqGUIxe4rpabp27YrZs2dj06ZN0Ov1RU53ICIiIvkt3XkJDi6c2iSFvJxM2Z6lEmBWKGZPcWGKL7Q1cuTIxw6X3rFjR4GvHRwcMGnSJEyaNEmGyqg42FNMxdW6dWu4u7sjJSUFx48fR6NGjZQuiYiIiAAkXboHlVOO0mXYBb1WzoW2SCqKh2KybYY5xQzF9DTOzs7o1KkT/vjjD/z9998MxURERFYi+eQOCHLOhbVjok4r27M4fFo6DMVktrS0NNy5cwcAQzEVT5cuXYyhePz48UqXQ0RERAD0eVoInFIsCTlDscDh05JhKCazXblyBUD+9lpeXlyxkJ6uS5cuAIDY2Fjcv38fZcqUUbgiIiIiItukUrGnWCoMxWQ2zicmU1WqVAk1a9bE2bNn8c8//6B3795Kl0RERFTqObp5QXDgFqZSEPM0yJPpWSpBgINZoZip+FEMxWQ2Q09xlSpVFK6EbEmXLl1w9uxZbNq0iaGYiIjICnhXCIPK0VXpMuyCPjcb2QfkeZb5q09boBgbx1BMZrt+/ToAoGLFigpXQrbk//7v/zB79mxs375d6VKIiIgIQPWmYdySSSJ5OZlIXivPs8xfaIup+FEMxWS2GzduAABCQkIUroRsSatWraBWq3HlyhUkJCTwQxUiIiIzRUdHY926dTh37hxcXV3RsmVLzJgxA2FhYSbdZ1jbqnDz8LRQlaVLVkY6dsn0rPxQrDL5Oi60VRhDMZnNEIorVKigcCVkSzw9PdG4cWMcOHAAO3fuxIABA5QuiYiIyCbt3LkTI0aMQJMmTZCXl4ePP/4Yzz77LM6cOQN39+L3/DYJ9oQnF02VRHqafM9iT7F0GIrJbIbh0wzFZKr27dvjwIED2LFjB0MxERGRmTZt2lTg62XLlsHf3x9HjhxB27Zti32fctf3w8uDw6el4JyRKduzBBXnFEuFoZjMkpeXh5s3bwLg8GkyXbt27TBjxgzs2LFD6VKIiIjsRmpqKgDA19fXpOvS9m2H6MrVp6WQnq2R7Vlm9xRzT6ZCGIrJLDdv3oRer4eDgwP8/f2VLodsjGFe8eXLl3H9+nV+sEJERFRCer0e7777Llq1aoU6deoUeY5Go4FG819oS0vLH+t7emUs3NWMBVLI1Mm1IROgAqA2o9vX9FnI9o+//WQWw3zi8uXLQ2XGBH8q3by8vBAeHo6DBw9i586dePXVV5UuiYiIyKaNGDECcXFx2LNnz2PPiY6OxpQpUwod33v2LlwEvp+TQo6ol+1ZKpV5PcVcaKswhmIyC1eeppJq3749Dh48iB07djAUExERlcDIkSPx119/YdeuXU9c62XcuHGIiooyfp2WloaQkBAka/LgxP5DSWghXygm6fC3n8zCRbaopNq1awcA2LVLro0LiIiI7Isoihg5ciR+++03xMTEoEqVKk8839nZGV5eXgUa2S7h3znFpjZOKS6MPcVkFvYUU0k1b94cAHDhwgXcvXsXZcuWVbgiIiIi2zJixAisXLkSv//+Ozw9PZGcnAwA8Pb2hqurq8LVkaWpBcCBWzJJgqGYzJKYmAggf04xkTl8fX0RFhaG+Ph4HDhwAF27dlW6JCIiIpsyf/58APlTkh62dOlSDB48uNj3qejqyDnFEskR9UC2PM8yd/VpZuLCGIrJLIZPIoOCghSuhGxZ8+bNER8fj/379zMUExERmUgURUnu06phANwdGAukkJmXB+y7LMuzBMG8fYrZU1wYf/vJLIZQHBAQoHAlZMuaN2+O5cuX48CBA0qXQkREVGpVaPMMPJ2dlC7DLqRrtMC+WFmeZf7q0xYoxsYxFJNZDKE4MDBQ4UrIlhnmFR84cAB6vZ7bexERESkgqM9AeHm6K12GXUhLzwRm/CDLs8wdPs2e4sIYislk2dnZxs3e2VNMJVGnTh24ubkhNTUV8fHxqFmzptIlERERlTpZQXXgwJWoJZH173tkOajMHD4tCACkGXlvNxiKyWQpKSkA8pf19/b2VrgasmUODg5o0qQJdu7cif379zMUExERKeCv8/fg6pGrdBl2ITsjXbZnlainmKG4AIZiMpkhFAcEBEDg8AsqoWbNmhlD8ZAhQ5Quh4iIqNRZsv0SHFw4fFoKeTmZsj3L/IW2TDs/Ojoa69atw7lz5+Dq6oqWLVtixowZCAsLM56Tk5OD999/H7/88gs0Gg0iIyMxb948mxlVylBMJuN8YpKSYV7x/v37Fa6EiIiodLp55R5UTjlKl2EX9Nos2Z5l/kJbpl2zc+dOjBgxAk2aNEFeXh4+/vhjPPvsszhz5gzc3fM/THnvvfewYcMGrFmzBt7e3hg5ciR69uyJvXv3mlyfEhiKyWRceZqkZAjFcXFxyMzMNP7lSkRERPJIPrkDgpqrT0tB1Glle5b5w6dNO3/Tpk0Fvl62bBn8/f1x5MgRtG3bFqmpqVi8eDFWrlyJjh07AsjfK7tmzZrYv3+/8b2eNWMoJpMZhk+zp5ikEBQUhKCgINy8eRMnT55EixYtlC6JiIioVNHnaSFwjqkk5A3F5i60VbLpj6mpqQAAX19fAMCRI0eQm5uLiIgI4zk1atRAxYoVERsbaxOhmPufkMk4fJqk1rBhQwDAsWPHFK6EiIiIyDYIEKAWTG8qAdDpdEhLSyvQNBrNU5+p1+vx7rvvolWrVqhTpw6A/Gzg5OQEHx+fAucGBAQYc4O1Y08xmezhhbaIpNCwYUNs3LgRR48eVboUIiKiUsfRzQuCg7PSZdgFMU+DPKWLKIZTp04V2kVm0qRJmDx58hOvGzFiBOLi4rBnzx4LVic/hmIyGXuKSWrsKSYiIlKOT8VaUDm6Kl2GXdDnZiP7gDzPUgn/bq9kIgEC6tati127dhU47uz85A9GRo4cib/++gu7du1ChQoVjMcDAwOh1Wrx4MGDAr3FKSkpNpMXGIrJZFxoi6RmCMVxcXHIzc2Fo6OjwhURERGVHs80rsYtmSSSl5OJm2vkeZYgAGozpgcLAqBWq+Hl5VWs80VRxKhRo/Dbb79hx44dqFKlSoHvh4eHw9HREdu2bUOvXr0AAPHx8UhISLCZtWIYislkd+7cAQD4+fkpXAnZiypVqsDb2xupqak4c+YM6tevr3RJREREpUZkvUC4uHsqXYZdyMlMx66nnyYJlSBAZdZCW6adP2LECKxcuRK///47PD09jR1k3t7ecHV1hbe3N15//XVERUXB19cXXl5eGDVqFFq0aGETi2wBDMVkotzcXKSlpQEAypUrp3A1ZC8EQUDDhg2xY8cOHDt2jKGYiIhIRi/VCoBnMXsN6cnS09wwXqZnCQDUZgyfVsG0a+bPnw8AaN++fYHjS5cuxeDBgwEAX331FVQqFXr16gWNRoPIyEjMmzfP5NqUwlBMJrl79y4AQKVSFVphjqgkDKH46NGjxr9giYiIyPLKZd2Al9pD6TLsgnNWhmzPUgmCeXOKTbxEFJ++X5eLiwvmzp2LuXPnmlyPNWAoJpMYhk6XKVMGarVa4WrInnCxLSIiImWk/rEceheuPi2F9Jynb2sklZLMKaaCGIrJJIZQzKHTJDVDKD5+/Dj0ej1UKm6jTkREJIfTP+6HOzs7JJGp08n2LMHsOcVMxY9iKCaTGIZPMxST1GrUqAEXFxdkZGTg4sWLqF69utIlERERlQrnr6XCVWAolkK2KF8oVsHcLZnoUQzFZBL2FJOlODg4oE6dOjh8+DBOnTrFUExERCSTuDQNnMARWlLQQi/bs8wdPm1G57Ld428/mcQQisuWLatwJWSP6tSpAyB/v2IiIiIiejzDQlumNoF9xYWwp5hMwp5isiRDKD59+rTClRARERFZN0EA1GZ0+7KnuDCGYjIJ5xSTJdWuXRsAe4qJiIjkVMXNES6cUyyJHFEHZMnzLBXM3ZKJqfhRDMVkEvYUkyUZeoovXLgArVYLJycnhSsiIiKyf7X83eGuYiiWQqZeB1xVugoyFUMxmYRzismSypcvDy8vL6SlpeH8+fPGkExERESWU6tPQ3g684NoKaRrtMCMU7I8y+x9iqUvxeYxFJNJOHyaLEkQBNSpUwf79u1DXFwcQzEREZEMyrVpDS93N6XLsAvOmVnAjB9keZZh4SxTcfR0YWaH4t27d+O7777DpUuX8Ouvv6J8+fJYsWIFqlSpgtatW0tZI1kRDp8mS6tduzb27dvHxbaIiIhkog1/HlovL6XLsAvatDQAw2R5lvkLbQkQLVCPLTMrFK9duxYDBgzAK6+8gmPHjkGj0QAAUlNTMW3aNGzcuFHSIsk6aLVapKWlAWAoJsvhtkxERETy+jP+Llw9tEqXYReyM9Jle5YK5q0kLQAMxY8wKxR/9tlnWLBgAQYOHIhffvnFeLxVq1b47LPPJCuOrMu9e/cA5A9x9fHxUbYYsluGFajZU0xERCSPLWeS4eiaoXQZdiE3W77XURAEqDl8WhJmheL4+Hi0bdu20HFvb288ePCgpDWRlbp//z4AwMfHByqVSuFqyF4ZeoovXryI7OxsuLq6KlwRERGRfTscew0qJ84ploJeK9N+TMjvJTZrTjGX2irErFAcGBiIixcvonLlygWO79mzB1WrVjXpXnPnzsWsWbOQnJyM+vXr45tvvkHTpk0fe/6DBw8wfvx4rFu3Dvfu3UOlSpUwZ84cdO3a1ZwfhUxg+MCDvcRkSf7+/ihbtizu3r2Lc+fOoWHDhkqXREREZNceXI2D4OCsdBl2QczTyPas/DnFpl9nzpBre2dWKB46dCjeeecdLFmyBIIgICkpCbGxsfjggw/wySefFPs+q1atQlRUFBYsWIBmzZphzpw5iIyMRHx8PPz9/Qudr9Vq8X//93/w9/c3Lu517do1hjSZGHqKy5Qpo3AlZM8MK1Dv3LkTcXFxDMVEREQWlv0gBYKaWzJJQdTJNzdbAFeflopZY2DHjh2L/v37o1OnTsjIyEDbtm3xxhtv4M0338SoUaOKfZ/Zs2dj6NChGDJkCGrVqoUFCxbAzc0NS5YsKfL8JUuW4N69e1i/fj1atWqFypUro127dqhfv745PwaZ6OHh00SWZJhXfObMGYUrISIisl67du1C9+7dERwcDEEQsH79eqVLIhmp/p1TbGrj8OnCzArFgiBg/PjxuHfvHuLi4rB//37cvn0bU6dOLfY9tFotjhw5goiIiP+KUakQERGB2NjYIq/5448/0KJFC4wYMQIBAQGoU6cOpk2bBp1O99jnaDQapKWlFWhkHsPwafYUk6WFhYUByF+/gIiIiIqWmZmJ+vXrY+7cuUqXQgoQ8N9exaY0gV3FhZg1fDo1NRU6nQ6+vr6oVauW8fi9e/fg4OAAr2Lsc3bnzh3odDoEBAQUOB4QEIBz584Vec3ly5cRExODV155BRs3bsTFixfx9ttvIzc3F5MmTSrymujoaEyZMsWEn44eh8OnSS6GUHz+/HmFKyEiIrJeXbp0QZcuXUp8H78azaFy5MKWUtDnZuPmqZ9keZZKxTnFUjErFPft2xfdu3fH22+/XeD46tWr8ccff1hsn2K9Xg9/f38sXLgQarUa4eHhSExMxKxZsx4biseNG4eoqCjj12lpaQgJCbFIffaOw6dJLtWrVweQvwK1TqeDWq1WuCIiIiL7FVA1GGpnd6XLsAs6TSZuyvQss+cUW6AWW2dWKD5w4ABmz55d6Hj79u0xfvz4Yt2jXLlyUKvVSElJKXA8JSUFgYGBRV4TFBQER0fHAm+Qa9asieTkZGi1Wjg5FV4gwNnZGc7OXE1PChw+TXKpWLEinJ2dodFocO3aNZNXtSciIqLCNBoNNJr/Vkc2TCvs3b4qXNw9lSrLruRkpuP4DKWrIFOZFYo1Gg3y8vIKHc/NzUV2dnax7uHk5ITw8HBs27YNPXr0AJDfE7xt2zaMHDmyyGtatWqFlStXQq/XG/fJPX/+PIKCgooMxCQtDp8muajVajzzzDOIi4tDfHw8QzEREZEEHjetsHftAHgWY/ojPV16mhuK10VYcoJg3krSnFJcmFmhuGnTpli4cCG++eabAscXLFiA8PDwYt8nKioKgwYNQuPGjdG0aVPMmTMHmZmZGDJkCABg4MCBKF++PKKjowEAb731Fr799lu88847GDVqFC5cuIBp06Zh9OjR5vwYZCIOnyY5hYWFIS4uDufPn5dkvhQREVFp97hphWUzb8BL5aFgZfbDKTNDtmcJAFRmDIbm6tOFmRWKP/vsM0RERODEiRPo1KkTAGDbtm04dOgQtmzZUuz79OnTB7dv38bEiRORnJyMBg0aYNOmTcbFtxISEow9wgAQEhKCzZs347333kO9evVQvnx5vPPOOxgzZow5PwaZiMOnSU6GecVcgZqIiEgaj5tWmPrHcuhdON1QCuk5mqefJBEB7PWVilmhuFWrVoiNjcWsWbOwevVquLq6ol69eli8eDGeeeYZk+41cuTIxw6X3rFjR6FjLVq0wP79+80pm0qIPcUkJ27LRERE9GQZGRm4ePGi8esrV67g+PHj8PX1RcWKFYt9nxs7z8DD0axYQI/IyC08xdRSBMG8laQZpAsz+7e/QYMG+OkneZYbJ+vAOcUkJ4ZiIiKiJzt8+DA6dOhg/NowNHrQoEFYtmxZse9zaM91uArc6UEK2aJOtmeZPadY+lJsntmhWK/X4+LFi7h16xb0en2B77Vt27bEhZF10el0xhUKGYpJDobh04mJicjIyICHB+c6ERERPax9+/YQRbHE94lL08AJZmx4S4VooX/6SRIRIJg5p9i+TJ8+HcOHDy/RaFazQvH+/fvRv39/XLt2rdD/EQVBgE4n3yckJI/U1FTjf3P4NMnB19cX5cqVw507d3DhwgU0bNhQ6ZKIiIiIrIpZQ6HtKBWnp6djwoQJaNeuHVq0aGH2fcwKxcOHD0fjxo2xYcMGBAUFQeDAdLtnGDrt5ubG7a9INmFhYbhz5w7i4+MZiomIiIgeojJ3TrH0pchCq9Vi48aNSExMhE6ng0ajwYYNG1C+fHkMHToU/fv3h4eHB9RqNYKCgtC1a1e4uLgU695mheILFy7g119/RbVq1cy5nGwQV54mJYSFhWHv3r2cV0xERGRBXg4qOAscPi0FjQhAvrW2zAq4thqKBw4ciF9//RWBgYFwdHSEo6Mjqlevju3bt+PTTz/FDz/8AI1GA51Oh5SUFNStWxeHDx8u1r3NCsXNmjXDxYsXGYpLEa48TUrgtkxERESW16aCF9xVXGhLCpl6Hb6+Ks+zBAhQmTFi11ZH+W7ZsgV///03/u///q/Q9x5dWO7SpUuoXr067t27B19f36fe26xQPGrUKLz//vtITk5G3bp14ejoWOD79erVM+e2ZMUMi2x5e3srXAmVJoYVqC9cuKBwJURERPardt9weLpwepwU0nO0wPRTsjzL3NWnbVWZMmXQoEGDYp0bGhqKsLAwZGVlWS4U9+rVCwDw2muvGY8JggBRFLnQlp0yhGIvLy+FK6HSJDQ0FED+p31ERERkGWVbt4SXu5vSZdgFp8wsAMtkeZYAmLVmuK3maFPfD545c6bY55oViq9cuWLOZWTDGIpJCVWqVAGQP3z//v37nNNORERkAccdK8Hd0V3pMuxCpmOmbM/K7yk2Z/i0BYqxcWaF4kqVKkldB1k5Dp8mJXh4eCAgIAApKSm4dOkSGjdurHRJREREdufk7Wy4ZnKhLSlkZ2UrXUKpsGzZMgwePLjQ8by8PHzyySeIjo426X5mhWKDM2fOICEhAVqttsDx559/viS3JStk2KeYPcUkt9DQUKSkpODy5csMxURERBZw+mYanFxlXDLZjmmzs2R7lgAzt2Syg57i0aNHY8OGDVi4cKFxJGF8fDz69++Pu3fvyhOKL1++jBdffBGnTp0yziUG/uu+55xi+8Ph06SU0NBQ7Nu3j/OKiYiILKRqtepwcfdQugy7kJOZId/DStlCWw87duwYXn31VdStWxdLly7F+fPn8dFHH6FHjx6YN2+eyfczKxS/8847qFKlCrZt24YqVarg4MGDuHv3Lt5//3188cUX5tySrBxDMSmFi20RERFZlq+nE1zdufq0FLJV8r2OKpSuhbYeFhoair179+Ldd99F586doVarsXz5cvTr18+s+5kVimNjYxETE4Ny5cpBpVJBpVKhdevWiI6OxujRo3Hs2DGziiHrxVBMSmEoJiIisqzKPq5w9+Dq01LIdJRzxKxg5kJb9hCLgQ0bNuCXX35BixYtcP78eSxevBjt2rVDcHCwyfcyKxTrdDp4enoCAMqVK4ekpCSEhYWhUqVKiI+PN+eWZOUYikkpDMVERESWFeThBA9P9hRLIQPyvY6CYOacYulLkd2bb76J5cuX4/PPP0dUVBRSUlLw2muvoW7dupg/fz5efvllk+5nViiuU6cOTpw4gSpVqqBZs2aYOXMmnJycsHDhQlStWtWcW5KVYygmpRhC8Y0bN6DRaODs7KxwRURERPbl7pVzyHHnlkxSyMyUcUsm2EfANcfevXtx4MAB1K9fHwAQGBiIjRs3Yu7cuXjttdfkCcUTJkww/oF/+umneO6559CmTRuULVsWv/zyizm3JCvHLZlIKX5+fnB3d0dmZiauXLmCGjVqKF0SERGRXVHfvwEHjavSZdgFtYxbMpnbU2zONdbmyJEjRXaUjBgxAhERESbfz6xQHBkZafzvatWq4dy5c7h37x7KlCljN2PUqSD2FJNSBEFAaGgoTp48iUuXLjEUExERSUxMuwN9rovSZdgFMTtHtmcJsJ/5wcV169Yt+Pv7P3bkYF5ennErWVOYFYpfe+01fP3118Z5xQDg6+uLzMxMjBo1CkuWLDHntmSlRFHkPsWkKEMovnz5stKlEBER2Z3q1cPgxYW2JJGWIeM+xebOKTYzR8+dOxezZs1CcnIy6tevj2+++QZNmzY172ZmCgoKws2bN+Hv7w8AqFu3LjZu3IiQkBAAwN27d9GiRQuTtwg2KxQvX74c06dPLxCKASA7Oxs//PADQ7Gdyc7ONv5iMRSTErjYFhERkeUI7p4QOKdYEoKolu9ZMG9OsTnXrFq1ClFRUViwYAGaNWuGOXPmIDIyEvHx8caAKgdRFAt8ffXqVeTm5j7xnOIwKRSnpaVBFEWIooj09HS4uPw3zEKn02Hjxo2yvigkD8PQaUEQ4M6/MEkBDMVERGTNOnbsiHbt2mHSpEkFjt+/fx+9evVCTEyMQpUVk4sH4OqhdBX2IU++4cwCBKjM2ZLJjFg8e/ZsDB06FEOGDAEALFiwABs2bMCSJUswduxYk+9nSeYMKTcpFPv4+EAQ8vfDql69epEFTJkyxeQiyLoZQrGnpydUKnO2CCcqGYZiIiKyZjt27MCpU6dw7Ngx/PTTT8ZOBK1Wi507dypc3dPp3cpA7+b59BPpqfQ6R/keJpg5FNrEa7RaLY4cOYJx48YZj6lUKkRERCA2NtaMAqyPSaF4+/btEEURHTt2xNq1a+Hr62v8npOTEypVqmTWZslk3bjIFinNEIovX74MvV7PD2eIiMjq/PPPP3jzzTfRvHlz/Pnnn6hcubLSJRXbyYvXORpQInJuyVQSOp3O+B7fwNnZucgFrO7cuQOdToeAgIACxwMCAnDu3DmL1vkoQRCMI5ZFUYQgCMjIyDD+LI/+TMVlUihu164dAODKlSuoWLFiqVvtrLTidkyktIoVK0KlUkGj0SAlJQVBQUFKl0RERFRAUFAQdu7ciSFDhqBJkyZYs2YNatasqXRZxZKp1UN01Ctdhl3I0sr3OgqiCMGM+bOCKOLUqVOF3ttPmjQJkydPlqg6yxBFscCIZVEU0bBhwwJfW3z4tEFMTAw8PDzQu3fvAsfXrFmDrKwsDBo0yJzbkpViTzEpzcHBAeXLl8f169dx7do1hmIiIrIqhjfhzs7OWLlyJT777DN07twZY8aMUbiy4tHo9VDrGYqloJH1dRQB0Zzniahbty527dpV4OjjtjkqV64c1Go1UlJSChxPSUlBYGCgGc833/bt2y1yX7NCcXR0NL777rtCx/39/TFs2DCGYjvD7ZjIGlSsWBHXr19HQkICmjdvrnQ5RERERo+udjthwgTUrFnTZt4T1wyrAQ9PzimWQkZ6umzPyu8pNiMUiyLUanWx39s7OTkhPDwc27ZtQ48ePQAAer0e27Ztw8iRI01/fgkYRi5LzaxQnJCQgCpVqhQ6XqlSJSQkJJS4KLIu7Ckma1CpUiXs3buXf8cQEZHVuXLlCvz8/Aoc69WrF2rUqIHDhw8rVFXxOaoFOKk5LVIKjrK+jub3FJsqKioKgwYNQuPGjdG0aVPMmTMHmZmZxtWobZ1Zodjf3x8nT54stIDAiRMnULZsWSnqIivCUEzWoGLFigCAa9euKVwJERFRQZUqVSryeO3atVG7dm2ZqzGdE0OxZGR9HUUxv5l8nemX9OnTB7dv38bEiRORnJyMBg0aYNOmTYUW37Kk119/HXPmzIFnMUc1vP322/j0009Rrly5p55rViju168fRo8eDU9PT7Rt2xYAsHPnTrzzzjvo27evObckK8ZQTNbA8IaDPcVERETSclELcHHgzg5SyJU9FJvTU2zevOeRI0fKPlz6YatWrcI777yDevXqPfXc9PR0LFy4EBMnTizWvc0KxVOnTsXVq1fRqVMnODjk30Kv12PgwIGYNm2aObckK8ZQTNaAPcVERESWcelsHLdkkoi8WzKZN6fYnBWrrUGjRo3QtWtXNGrUCA4ODnB0dETNmjUxZswYLFmyBHv37kVOTg70ej3OnDmDwMDAYi8EZlYodnJywqpVqzB16lScOHECrq6uqFu37mOHjpBt45ZMZA3YU0xERGQZQm42hFwOn5aCkJst38PM7im2zVD8008/YeHChUhKSoJer0dOTg6+//57bNq0CefOnUNERAS8vb2hVqvx8ssvY+DAgcW+t1mh2KBy5coQRRGhoaHGHmOyP4ZQXNzx+0SWEBISAgC4f/8+0tPT+ftIREQkkbDqz8CL/65KIk3G1acBvXmh2EZ7ikNCQjB16tQCxxISElC5cmX89ddf6Nq1q9n3NmvyQFZWFl5//XW4ubmhdu3axp6bUaNGYfr06WYXQ9YpIyMDAEMxKcvLyws+Pj4A2FtMREQkJVEQ2CRs8v3B/dtTbHKzzVBclIoVKyIyMhINGjQo0X3MCsXjxo3DiRMnsGPHDri4uBiPR0REYNWqVSUqiKxP+r+feHl4eChcCZV2HEJNRERkASoHNimbXEQR0OtNb3YUigHg77//RnBwcInuYdaf2vr167Fq1So0b94cwkOfhtSuXRuXLl0qUUFkfQw9xQzFpLSKFSvixIkTXGyLiIjoIXPnzsWsWbOQnJyM+vXr45tvvkHTpk2Lfb2odoKodrJghaWHnK+jIJq30Jatzim2JLNC8e3bt+Hv71/oeGZmZoGQTPaBw6fJWrCnmIiIqKBVq1YhKioKCxYsQLNmzTBnzhxERkYiPj6+yPfrRRHVjhAdGIqlIKod5XxaqZpT/KicnBycPHkSt27dgl5f8HV4/vnnTbqXWaG4cePG2LBhA0aNGgUAxiD8/fffo0WLFubckqwYe4rJWnBbJiIiooJmz56NoUOHYsiQIQCABQsWYMOGDViyZAnGjh1brHuciY/nlkwSkXdLptJr06ZNGDhwIO7cuVPoe4IgQKfTmXQ/s0LxtGnT0KVLF5w5cwZ5eXn4+uuvcebMGezbtw87d+4055ZkpURR5JxishrsKSYiIvqPVqvFkSNHMG7cOOMxlUqFiIgIxMbGFjpfo9FAo9EYvzbsMJKny29UcrK+jqJoN72+pho1ahR69+6NiRMnIiAgoMT3MysUt27dGsePH8f06dNRt25dbNmyBY0aNUJsbCzq1q1b4qLIehg2wAYYikl57CkmIiL6z507d6DT6QqFgoCAAJw7d67Q+dHR0ZgyZUqh41WrVuE0OYmky7klk7n7FNtBkE5JSUFUVJQkgRgowT7FoaGhWLRokSRFkPUyDJ0GwGE1pDhDKE5MTEReXh73RyciIjLBuHHjEBUVZfw6LS0NISEhEABwVSBpyPs6mrfQlmAHC2299NJL2LFjB0JDQyW5X7HfURqGVxSHl5eXWcWQ9TGEYjc3N6jVaoWrodIuMDAQjo6OyM3NRWJionE4NRERUWlUrlw5qNVqpKSkFDiekpKCwMDAQuc7OzvD2dm50HG1SoBaxVgsBVlfx1LcU/ztt9+id+/e2L17N+rWrQtHx4ILnI0ePdqk+xU7FPv4+Dx1ZWlRFM2a2EzWi/OJyZqoVCqEhITg8uXLSEhIYCgmIqJSzcnJCeHh4di2bRt69OgBANDr9di2bRtGjhxZ7PuoBAEq7iAjCXlfR715odgOeop//vlnbNmyBS4uLtixY0eBnCoIguVC8fbt2026MdkHrjxN1qZSpUrGUExERFTaRUVFYdCgQWjcuDGaNm2KOXPmIDMz07gadXGoRB1UIju1pCDr61iKe4rHjx+PKVOmYOzYsVCpVCW+X7FD8ddff41ly5bBy8sLP/zwA/r06VPk8AuyL9yjmKwNF9siIiL6T58+fXD79m1MnDgRycnJaNCgATZt2mTaAkT6vPxGJSfj6yiI5s0ptoeeYq1Wiz59+kgSiAETQvFff/2FzMxMeHl5YciQIejcuXOxNwQn28WeYrI23JaJiIiooJEjR5o0XPpRgl4HQc+eYinI+jqKIqAvnT3FgwYNwqpVq/Dxxx9Lcr9ih+IaNWpg3Lhx6NChA0RRxOrVqx+7oNbAgQMlKY6UxznFZG3YU0xEREQEAGbuU2wHoVin02HmzJnYvHkz6tWrV2ihrdmzZ5t0v2KH4gULFiAqKgobNmyAIAiYMGFCkQtvCYJgciieO3cuZs2aheTkZNSvXx/ffPMNmjZt+tTrfvnlF/Tr1w8vvPAC1q9fb9IzqXjYU0zWxhCK2VNMREREpZq5c4rtYPj0qVOn0LBhQwBAXFxcie9X7FDcsmVL7N+/H0D+CrDnz5+XZPj0qlWrEBUVhQULFqBZs2aYM2cOIiMjER8f/8T7X716FR988AHatGlT4hro8TinmKyNYfj0tWvXjCveExERkflEQQVRkGZuZmkn7+to5j7FdtBTLPUi0MUOxQ+7cuUK/Pz8JClg9uzZGDp0qHGFvAULFmDDhg1YsmQJxo4dW+Q1Op0Or7zyCqZMmYLdu3fjwYMHktRChbGnmKxNSEgIACAzMxP379+Hr6+vwhURERHZOJVDfqOSk/N1LIU9xT179nzqOYIgYO3atSbd16w/tUqVKmH37t347rvvcOnSJfz6668oX748VqxYgSpVqqB169bFuo9Wq8WRI0cwbtw44zGVSoWIiAjExsY+9rpPP/0U/v7+eP3117F79+4nPkOj0UCj0Ri/TktLK1ZtlI9zisnauLq6wt/fH7du3UJCQgJDMRERUQmJageIaoZiKfB1tCxvb2+L3NesP7W1a9diwIABeOWVV3Ds2DFj6ExNTcW0adOwcePGYt3nzp070Ol0hZaMDwgIwLlz54q8Zs+ePVi8eDGOHz9erGdER0djypQpxTqXCmNPMVmjihUr4tatW7h27RoaNGigdDlEREQ2TacXodPbbu+hNZH1dRT1pW6f4qVLl1rkvmYNev/ss8+wYMECLFq0qMBKX61atcLRo0clK+5R6enpGDBgABYtWoRy5coV65px48YhNTXV2K5fv26x+uwR5xSTNeK2TERERNLRi2xSNtmIIqDXmd7MGnJt38zqKY6Pj0fbtm0LHff29jZpfm+5cuWgVquRkpJS4HhKSgoCAwMLnX/p0iVcvXoV3bt3Nx7T/7s3l4ODA+Lj4xEaGlrgGmdnZzg7Oxe7JiqIPcVkjbgtExERkXT0ogi9DfceWhNZX0dRhGjGPsUi/6wLMaunODAwEBcvXix0fM+ePahatWqx7+Pk5ITw8HBs27bNeEyv12Pbtm1o0aJFofNr1KiBU6dO4fjx48b2/PPPo0OHDjh+/LhxAR6SDucUkzXitkxERETSEdkkbbIR9Wb2FDMUP8qsnuKhQ4finXfewZIlSyAIApKSkhAbG4v3338fEydONOleUVFRGDRoEBo3boymTZtizpw5yMzMNK5GPXDgQJQvXx7R0dFwcXFBnTp1Clzv4+MDAIWOkzTYU0zW6OFtmYiIiKhkhH8blZysr6MhFJtzHRVgVigeO3Ys9Ho9OnXqhKysLLRt2xbOzs748MMP8cYbb5h0rz59+uD27duYOHEikpOT0aBBA2zatMm4+FZCQgJUKu6bphTOKSZrxJ5iIiIi6agEASqBsVgKcr6Ool4PUWdOKGZP8aPMCsWCIGD8+PH48MMPcfHiRWRkZKBWrVr47rvvUKVKFSQnJ5t0v5EjR2LkyJFFfm/Hjh1PvHbZsmUmPYtMw55iskaGnuLk5GTk5OTAxcVF4YqIiIhsl4NKgIOKoVgKsr6OogiYMac4PxTzz/thJoVijUaDyZMnY+vWrcae4R49emDp0qV48cUXoVar8d5771mqVlIA5xSTNSpbtixcXV2RnZ2NGzduoFq1akqXREREZLNUEKGSdzas3ZL1ddSbOXxarweglrwcW2ZSKJ44cSK+++47REREYN++fejduzeGDBmC/fv348svv0Tv3r2hVvMFtheiKLKnmKySIAioVKkSzp07h4SEBIZiIiKiktDl5jcqOTlfR1EP0YxQzNWnCzMpFK9ZswY//PADnn/+ecTFxaFevXrIy8vDiRMnIHAegt3Jzs42/p+Gc4rJ2lSsWBHnzp3jYltEREQlJeq5+JJU5HwdSzR8mh5mUii+ceMGwsPDAeSv9uzs7Iz33nuPgdhOGXqJAcDNzU3BSogK42JbRERE0hBEPQSGYknI+TqKZvYU8wOQwkwKxTqdDk5OTv9d7ODAYbV2zDCf2N3dnSuAk9XhtkxERERUqokit2SSiEmhWBRFDB48GM7OzgCAnJwcDB8+HO7u7gXOW7dunXQVkmI4n5isGXuKiYiIpCEKKogCO0CkwNfRNpkUigcNGlTg61dffVXSYsi6cI9ismbsKSYiIpKIoMpvVHJyvo6innOKJWJSKF66dKml6iArxJ5ismaGnuLr169Dr9dziD8REZG51I75jUpOztdRL0LUcfVpKZgUiql0MYTiR4fHE1mDChUqQBAEaDQa3L59GwEBAUqXREREZJPyxPxGJSfr6yiauU8x5xQXwlBMj2VYaIvDp8kaOTo6Ijg4GImJibh27RpDMRERkZn0Yn6jkpP1ddSbG4r5h/0ohmJ6LA6fJmtXqVIlJCYmIiEhAU2bNlW6HCIiIpukF0XoGZQkIefrKIoiRM4plgQn4dFjMRSTtTPMK+ZiW0REROYT2SRtsjEMnza1cfh0IewptiNZWVlwcHAosJd0SXD1abJ2pXVbpry8PMTHx+PChQu4f/8+VCoVvL29Ua1aNVSvXl2yvwOIiKh0EP5tVHKyvo5mzykW+Qf+CIZiOyCKIiZPnozo6Gi4uLhg3rx5kmyXxZ5isnalaVumvLw8/P7771i5ciU2b96MzMzMIs9zdXVF69at8fLLL6N3797w9vaWuVIiIrI1DMXSkfN1NHf4NFefLoyh2A4sWrQIn376KQAgNzcXgwYNQlhYGJo0aVKi+zIUk7UrDT3Fer0eP//8MyZMmICrV68aj3t4eKBmzZooV64cRFHE3bt3cf78eaSmpmLr1q3YunUrRo0ahVdeeQXjx49HlSpVlPshiIjIqqlVAtQqxmIpyPo6mr3QFodPP4pzim1cWloaPv74YwDAZ599ht69e0Ov1xuPlQRDMVk7e+8pvnbtGjp06IBXX30VV69eRbly5TB27FgcPnwYqampOHjwIDZu3Ii///4bBw8exP379xEXF4fo6GjUrFkTOTk5WLx4MapXr45hw4bh9u3bSv9IRERkhRwENimbbETRzDnFlukpvnr1Kl5//XVUqVIFrq6uCA0NxaRJk6DVagucd/LkSbRp0wYuLi4ICQnBzJkzLVKPKdhTbOMWLlyIu3fvIiwsDGPGjMGNGzewdu1a/PPPPzhz5gxq1apl9r0ZisnaGXqK7927h4yMDLv6Xf3777/Rr18/pKamwt3dHR9//DHee+89uLq6PvYaQRBQu3Zt1K5dG2PGjMG+ffswdepUbN68GYsWLcLatWsxc+ZMDBkyBCoVPxMlIqJ/6XLzG5WcnK+jXg9RZ0ZPsTkrVhfDuXPnoNfr8d1336FatWqIi4vD0KFDkZmZiS+++AJAfofes88+i4iICCxYsACnTp3Ca6+9Bh8fHwwbNswidRUH3xXZMFEU8f333wMAPvjgAzg4OKBy5cro3r07AODHH38s0f0ZisnaeXt7G+fMXr9+XeFqpPPdd9/hueeeQ2pqKpo3b44TJ07g448/fmIgfpQgCGjVqhU2bdqE3bt3o379+rh37x7eeOMNdO3aFSkpKRb8CYiIyKaIejYpm2x/buK/Q6hNbBbqKe7cuTOWLl2KZ599FlWrVsXzzz+PDz74AOvWrTOe89NPP0Gr1WLJkiWoXbs2+vbti9GjR2P27NkWqam4GIpt2MGDBxEfHw83Nzf06dPHePyll14CAPz5558luj9DMdkCe9uWae7cuRg+fDj0ej2GDBmCnTt3IjQ0tET3bN26NQ4fPowvvvgCLi4u2Lx5M+rXr4+tW7dKVDUREdkyQdSzSdhkI5q/JZNOp0NaWlqBptFoJC8xNTUVvr6+xq9jY2PRtm3bAjtlREZGIj4+Hvfv35f8+cXFUGzDfv/9dwBA9+7dC2yb1KVLF6hUKsTFxRVYmMdUDMVkC+xpsa0VK1Zg5MiRAICPPvoIixcvlmx7JQcHB7z//vs4fPgw6tSpg5SUFHTu3BlfffUVV6EkIrJRn3/+OVq2bAk3Nzf4+PgoXQ7ZkFOnThlH3BladHS0pM+4ePEivvnmG7z55pvGY8nJyQgICChwnuHr5ORkSZ9vCoZiG/bHH38AAJ5//vkCx8uWLYtmzZoBAHbu3Gn2/RmKyRbYy2JbO3fuxOuvvw4AeO+99zB9+nQIgvSrddSuXRsHDx7E66+/Dr1ej6ioKAwfPhy5uZxLRkRka7RaLXr37o233nqrRPcRBRWbhE0uoqiHqNeZ3kQRdevWRWpqaoE2bty4Ip8zduxYCILwxHbu3LkC1yQmJqJz587o3bs3hg4dKsfLUSJcaMtGXb16FadPn4ZarUaXLl0Kfb9169aIjY3Fvn37MGjQILOekZ6eDoChmKybPfQUJyUloXfv3sjNzUXv3r3xxRdfWCQQG7i6umLRokWoVasWPvjgAyxcuBAXL17EunXruK8xEZENmTJlCgBg2bJlJbuRoMpvVHJyvo5m7lMMUYRarYaXl1exTn///fcxePDgJ55TtWpV438nJSWhQ4cOaNmyJRYuXFjgvMDAwELrmhi+DgwMLFY9lsBQbKO2bdsGAGjevDnKlClT6PutWrXCrFmzsHfvXrPuL4oie4rJJth6T3FeXh769euH27dvo379+li+fLksK0MLgoCoqCg888wz6N+/P2JiYhAREYHNmzcXmPtDRET2Q6PRFJg3mpaWlv8fKnV+o5KT8XUU9SJEnemhWNSbNm3Kz88Pfn5+xTo3MTERHTp0QHh4OJYuXVroPU2LFi0wfvx45ObmwtHREQCwdetWhIWFFZlp5MKPhGyUYVh0+/bti/x+ixYtAACnT59GamqqyffPycmB/t9PnhiKyZrZek/xnDlzsGvXLnh6emLNmjUmrTAthe7du2PXrl0oV64cDh8+jPbt23NlaiIiOxUdHV1gDmlISAgAQC+o2SRscjGEYlObpVafTkxMRPv27VGxYkV88cUXuH37NpKTkwvMFe7fvz+cnJzw+uuv4/Tp01i1ahW+/vprREVFWaSm4mIotlGGUNyuXbsiv+/v72/8iy4uLs7k+xt6iQHA3d3djAqJ5GHoKb5x4wZ05uzVp6ALFy7gk08+AZAfjp955hlF6mjYsCF27tyJwMBAnDp1Cu3atUNiYqIitRARlXbmzN8srnHjxhWYQ2rYzjBPL7JJ2GQj6iHqzWgWCsVbt27FxYsXsW3bNlSoUAFBQUHGZuDt7Y0tW7bgypUrCA8Px/vvv4+JEycqukcxwOHTNunq1atISEiAg4MDWrZs+djz6tati+vXr+PkyZNo1aqVSc8whGI3Nzeo1RxOQ9YrMDAQDg4OyMvLQ1JSkvHDIGun1+vxxhtvICcnBxERERgyZIii9dSqVQu7du1Cp06dEB8fj06dOmHXrl3w9/dXtC4iotLG1PmbpnB2doazs3Oh43pRhJ47EUhCztfR3OHTsFBwHzx48FN/dwGgXr162L17t0VqMBdDsQ0y/BI1btz4ib24devWxcaNG3Hq1CmTn8H5xGQr1Go1KlSoYPywyFZC8Q8//IBdu3bBzc0NCxcutOjCWsX1zDPPYPfu3WjTpg3i4+MRGRmJ7du3c5sPIiIZmTJ/k0o5c+cU8wOQQjh82gYdOnQIwH/zhh+nXr16AICTJ0+a/AyGYrIltrbYVlZWFsaPHw8AmDRpEqpUqaJwRf+pVKkS/vnnH/j7++P48ePo1q0bMjMzlS6LiIiKkJCQgOPHjyMhIQE6nQ7Hjx/H8ePHC0yDI/ulF/XQ63QmN7NWrLZzDMU26PDhwwDye4qfpG7dugDyN+c29RMhhmKyJba22Nbs2bORlJSEypUrY/To0UqXU0j16tWxdetW+Pj4YN++fejZsyf3MSYiskITJ05Ew4YNMWnSJGRkZKBhw4Zo2LCh8b1icQlskjbZ6EWrmlNsyxiKbUxubi6OHTsG4OmhOCwsDA4ODkhLS8ONGzdMeg5DMdkSW+opTk5OxvTp0wHkrwLq4uKicEVFq1evHv7++2+4u7tjy5YteOutt/iPKBGRlVm2bBlEUSzUHrc7yeOoVQKbhE0uomhdq0/bMoZiG3PmzBnk5OTA29sb1apVe+K5Tk5OxmGZFy5cMOk5DMVkS2yppzg6OhqZmZlo2rQp+vTpo3Q5T9S8eXP88ssvUKlUWLx4sTHMExGRfXEQ2KRssjFzSyZT9ykuDRiKbYxhOEx4eHihzbCLYtji5eLFiyY9h6GYbImt9BSnpKRg0aJFAIDPPvvMKhbXeprnnnsO33zzDQDg448/xs8//6xwRUREJDldLpuUTSaiaN7wafYUF8ZQbGOKO5/YwNCbbGooTk9PB8BQTLbB0FN87do1qx7i+9VXXyE7OxtNmzZFRESE0uUU29tvv433338fQP52C/v27VO4IiIikpbIJmkjW8MtmWyMYT5xo0aNinW+oaeYw6fJnhm2YcrIyEBqaqpVbiF07949zJ07FwAwfvx4m+glftjMmTNx5coVrFu3Dr169cKRI0cQHBysdFlERCQBQa+DoNcpXYZdkPN1FPV66M3ZkonDpwthT7EN0ev1iIuLA/DfdktPY25PMUMx2RJ3d3eUK1cOgPUOoZ47dy4yMjJQr149PPfcc0qXYzKVSoXly5ejbt26SE5ORq9evaDRaJQui4iIpCDq2aRssv2xmTmn2IpH1SmFodiGXLt2DZmZmXBycjL2AD/Nw6FYb8KeZAzFZGseHkJtbbRaLebNmwcAGDNmTLHWA7BGHh4e+O2331CmTBns378fI0aM4D+sRET2QFCxSdnkYmYoBnuKC7HNd2al1KlTpwAANWvWhIND8Ua+V65cGQ4ODsjJyUFSUlKxn2UIxZ6enqYXSqSAypUrA7DOULx27VokJycjKCgIL730ktLllEhoaGiBFakXLFigdElERFRCokrNJmGT7c/NzIW2+IF2YQzFNsQwdLpu3brFvsbBwcE439KUsMCeYrI1hhWor169qmwhRTCs3vzmm2/CyclJ4WpK7tlnnzVuzzR69Gjs2bNH4YqIiKhEVA5sUjaZmDt8mqtPF8ZQbEMMobhOnTomXWfOHq4MxWRrrLWn+MiRI4iNjYWjoyPefPNNpcuRzAcffIC+ffsiLy8Pffr0we3bt5UuiYiIzKR0z6q9Nfn+4MyYT8x9iovE1adtiGH4tCk9xcB/PWgMxWTPrHWv4m+//RYA0Lt3bwQGBipcjXQEQcD333+PEydO4OzZsxgwYAA2btxos/OliYhKM51ehI5BSRJyvo6iXjRpzSDjdewpLoSh2EZotVqcO3cOAHuKiYpijcOn09LSsHr1agD5e/3aG3d3d6xevRpNmzbF5s2bMWPGDIwbN07psoiIyEQMxdKRNRSL+cOnzbhQ+mJsHD/StxHnz59HXl4evLy8jHOEi8ucVXkZisnWGIZP37lzB5mZmcoW86/Vq1cjKysLNWrUQMuWLZUuxyLq1Klj3H95woQJ2LVrl8IVERGRqUQ2SZts9HqIOp3pzYzeZXvHUGwjzp49CwCoVasWBEEw6Vr2FFNp4OPjAy8vLwCm/a5b0tKlSwEAQ4YMMfn/t7Zk8ODBGDhwIPR6Pfr164dbt24pXRIREZHdM3f1afYUF8ZQbCPi4+MBAGFhYSZfy1BMpYU1DaE+d+4c9u3bB7VajQEDBihdjkUJgoB58+ahZs2aSEpKwoABA8ya40RERMoQ2CRtcjF39WnOKS6ModhGlCQUG4Zbp6amIjU19annazQa5ObmAmAoJttiTStQG3qJu3btiqCgIIWrsTzD/GJXV1ds2bLFuGUTERFZP7VKYJOwycbcLZk4f7wQhmIbUZJQ7OHhAV9fXwDA9evXn3q+oZcYyH+jS2QrrGUFap1Ohx9//BFA/tDp0qJOnTrG1bYnTpyIAwcOKFwREREVh9Ih0t4a2R6rCMVz585F5cqV4eLigmbNmuHgwYOPPXfRokVo06YNypQpgzJlyiAiIuKJ59sDURRLFIoB04ZQG0Kxs7MzHB0dzXoekRKsJRTv2bMHSUlJ8PHxQdeuXRWtRW5DhgxB3759odPp8MorryA9PV3pkoiI6CkEXR6bhE0uol6EXqc3uXGf4sIUD8WrVq1CVFQUJk2ahKNHj6J+/fqIjIx87EItO3bsQL9+/bB9+3bExsYiJCQEzz77LBITE2WuXD4pKSlIS0uDSqVCtWrVzLqHOaGYQ6fJ1hiGTys9p/iXX34BAPTs2RPOzs6K1iI3QRAwf/58VKxYEZcuXcLo0aOVLomIiJ5G1LFJ2eT6YxNNX2RL1HNOcVEUD8WzZ8/G0KFDMWTIENSqVQsLFiyAm5sblixZUuT5P/30E95++200aNAANWrUwPfffw+9Xo9t27bJXLl8DL3ElStXNvsNdnBwMAAgKSnpqecaQrGnp6dZzyJSijX0FOfm5uLXX38FAPTt21exOpTk4+ODFStWQKVSYdmyZca9momIyDoJeh2bhE0u5i60xdWnC1M0FGu1Whw5cgQRERHGYyqVChEREYiNjS3WPbKyspCbm2ucM/sojUaDtLS0As3WlHToNADjQj83b9586rnsKSZbZQjFN2/ehEajUaSGmJgY3LlzB35+fujQoYMiNViDtm3bYty4cQCAN998s1jrGRARkUJEPZuUTbY/N0DUiaY3bhBRiKKh+M6dO9DpdAgICChwPCAgAMnJycW6x5gxYxAcHFwgWD8sOjoa3t7exmZYidmWMBQTFY+fnx9cXV0hiqJiIeznn38GAPTu3RsODg6K1GAtJk2ahCZNmuDBgwcYMGAAdDr5Pj0nIiITCCo2KZtMRL3p84n13JKpSIoPny6J6dOn45dffsFvv/0GFxeXIs8ZN26ccSui1NRUm+ytYCgmKh5BEBQdQp2Tk4PffvsNQOkdOv0wR0dHrFy5Eu7u7ti5cydmzZqldElERFQEUaVmk7DJ9ucm/juE2sTG4dOFKRqKy5UrB7VajZSUlALHU1JSEBgY+MRrv/jiC0yfPh1btmxBvXr1Hnues7MzvLy8CjRbI0UoNswpZigme6dkKN60aRPS0tJQoUIFtGrVSvbnW6Nq1arhm2++AQB88sknOHz4sMIVERFRIYKaTcomk/zVp01vHD5dmKKh2MnJCeHh4QUWyTIsmtWiRYvHXjdz5kxMnToVmzZtQuPGjeUoVTFarRZXrlwBAFSvXt3s+xh6ilNSUp46hJGhmGyZkitQGxaUevnll6FS2fRAHEkNHjwYL730EvLy8tC/f39kZmYqXRIRET1EVDuwSdhk+3Mzc6EtDp8uTPEJb1FRURg0aBAaN26Mpk2bYs6cOcjMzMSQIUMAAAMHDkT58uURHR0NAJgxYwYmTpyIlStXonLlysa5xx4eHlYR4nQ6HdRq6T4hunz5MnQ6HTw8PIy9vebw9/eHSqWCXq/H7du3n9gTz1BMtszQUyx3KNZqtdiwYQMAoFevXrI+29oJgoDvvvsOsbGxuHDhAt59910sWrRI6bKIiOhfOr0IHfeulYSsr6M+f+Esc66jghQPxX369MHt27cxceJEJCcno0GDBti0aZNx8a2EhIQCPS7z58+HVqvFSy+9VOA+kyZNwuTJk+UsvZCUlBR07twZ06ZNQ5cuXSS554ULFwAAzzzzDARBMPs+arUa/v7+SE5ORlJSEkMx2a2qVasCyP9ASU47duxAWloaAgIC0Lx5c1mfbQt8fX2xYsUKdOrUCd9//z26deuGHj16KF0WWYmcnBycO3cO58+fL9BGjBiBAQMGKF0ekd1jKJaOnK+jXgT0ZoRiPXuKC1E8FAPAyJEjMXLkyCK/t2PHjgJfKzEksri++OILHD9+HL1798aRI0dKNAfY4Pz58wBKNnTaICgoCMnJyU+dV5yeng6AoZhsU2hoKADg0qVLsj7XsMDWCy+8wKHTj9GhQwd8+OGHmDlzJt544w00a9bMOLWDSg+9Xo9Tp04hNjYWR44cweHDhxEXF4e8vLxC57Zs2ZKhmEgG4r+NSk7W1/Hf4dPmXEcFWUUothfTpk3DkSNHsH37dnz44Yf4448/SnzPh3uKSyooKAjHjh17aihmTzHZMkMoTk5ORlZWFtzc3Cz+TL1ej99//x0A8OKLL1r8ebbs008/xebNm3HixAm89tpr2LhxY4lGwZD1E0UR8fHx2Lp1K7Zv346dO3fi3r17hc4rU6YMatSogerVqyMsLAzVq1dHw4YNFaiYiMg2iKIIvRkBlx3FhTEUS8jR0RHz589HrVq18Oeff+Lo0aNo1KhRie4pdU8x8PQVqBmKyZaVKVMGPj4+ePDgAS5fvow6depY/JkHDx7EzZs34enpiQ4dOlj8ebbM2dkZP/30E8LDw7Fp0ybMmzcPI0aMULosklheXh5iY2Px+++/448//jB+wGvg7u6Oli1bonHjxmjcuDHCw8NRsWJFfkBCpBDh30YlJ+frKJo5p1hkT3EhDMUSCwsLQ+/evbFq1SosXbq0xKFY6p5igKGY7F9oaCiOHDmCS5cuyRKK169fDwDo1q0bnJ2dLf48W1e7dm3MnDkT77zzDj744AN07NgRNWvWVLosKiFRFHH06FGsWLECP//8M27dumX8npOTE9q2bYuOHTuiQ4cOCA8Ph6Ojo4LVEtHD1CoBahVjsRT4OtomhmILGDx4MFatWoWff/4ZX375JZycnMy6T1ZWFm7cuAFAmp7i4u5VbAjFnp6eJX4mkRIeDsWWJoqicT4xF44qvpEjR2LDhg3YsmULXnnlFezfv9/svytJWbdv38bixYuxfPlynDt3zni8TJky6NatG1544QVERkby3xQiK6YSBKg4UkMScr6O+fsUmz6nmFsyFcZQbAEREREIDAxEcnIytm/fjsjISLPuc/HiRQBA2bJl4evrW+K62FNMpYVhXrEcK1AbVsx1cnKSbNX50kClUmHp0qWoW7cujh07hsmTJ2PatGlKl0XFJIoi9u/fj3nz5mH16tXQarUAABcXF7zwwgsYMGAAnn32WfYGE1nQ1atXMXXqVMTExCA5ORnBwcF49dVXMX78eJM/ZFSJOqhEnYUqLV3kfB1FPczckkn6WmwdQ7EFODg4oGvXrliyZAk2b95sdig2zCeWYug08F8oTkpKeuJ5DMVk6+RcgfrPP/8EAHTs2BFeXl4Wf549CQ4OxqJFi9CrVy9Mnz4dXbp0QZs2bZQui55Ar9fjt99+w/Tp03H48GHj8caNG2P48OF46aWX4O3trWCFRKXHuXPnoNfr8d1336FatWqIi4vD0KFDkZmZiS+++MK0m+nz8huVnJyvo7lzitlTXAhDsYVERkYaQ7G5pFxkC/gvFCcnJ0MUxccuaMJQTLbOsFexHKH4r7/+AgA899xzFn+WPerZsyeGDBmCpUuXYsCAAThx4gRDlRXSarX46aefMGPGDMTHxwPIXzStb9++GDFiBJo0aaJwhUSlT+fOndG5c2fj11WrVkV8fDzmz59vcigW9DoIevYUS0HO11EUzRw+zYW2CuFmmhYSEREBlUqFM2fO4Pr162bdQ8pFtgAgMDAQAJCbm4u7d+8+9jyGYrJ1hp7iq1evQqez3D9O9+7dw969ewHkL7JF5vn6669RtWpVXLt2DaNGjVK6HHqITqfDDz/8gLCwMLz22muIj4+Ht7c3xo8fj4SEBCxbtoyBmMiKpKamSjLljmyDKIr5K1Cb2LgpdWEMxRbi6+trfKOwfft2s+4hdU+xk5MTypYtC+Dx84pzc3Oh0WgAMBST7SpfvjycnJyQm5trXKzOEjZv3gy9Xo86deqgcuXKFnuOvfP09MSKFSugUqmwYsUKrFq1SumSSj1RFLF+/XrUr18fgwYNwtWrVxEQEIAZM2YgISEBn332Gfz9/ZUuk4gecvHiRXzzzTd48803H3uORqNBWlpagUa2S9QDep1ocuPw6cIYii2oRYsWAIAjR46Ydb3UPcXA0xfbyszMNP43QzHZKrVajSpVqgCw7BBqw9Bp9hKXXMuWLTF+/HgAwPDhwy36YQY92dGjR9G2bVu8+OKLOH36NHx8fDB9+nRcunQJH330EefOE1nY2LFjIQjCE9vDK70DQGJiIjp37ozevXtj6NChj713dHQ0vL29jS0kJAQAIAoqNgmbXPL3Kdab3jh8uhDOKbYgwx7FR48eNfnaBw8e4Pbt2wCkD8VxcXGPDcXp6ekAAEdHR26PQjYtNDQU8fHxuHTpEjp27Cj5/fPy8rBp0yYAnE8slU8++QSbNm3CoUOHMGjQIGzduhUqFT+7lUtKSgomTJiAxYsXQxRFuLq64t1338WHH36IMmXKKF0eUanx/vvvY/DgwU88x7B2BpC/gGqHDh3QsmVLLFy48InXjRs3DlFRUcav09LS8oOxyiG/UcnJ+TqaudAWh08Xxt9+CwoPDwcAHDt2DDqdDmq1utjXGnqJg4KCJO2xfdpexQ8ePAAALnRDNs/wYZJhGoLU9u/fj3v37qFMmTJo3ry5RZ5R2jg6OuLHH39Ew4YNERMTg1mzZmHMmDFKl2X3dDod5s+fj/HjxxuHUvbv3x8zZsxAhQoVFK6OqPTx8/ODn59fsc5NTExEhw4dEB4ejqVLlz71g0RnZ2c4OzsXOi6qHSCqGQukIOfrqNfnD4c2lRw9xRqNBs2aNcOJEydw7NgxNGjQwPi9kydPYsSIETh06BD8/PwwatQofPTRRxav6Un4EbwFhYWFwc3NDZmZmcaQW1xSzyc2eNq2TKmpqQAAHx8fSZ9LJLcaNWoAQKEhZlIxDJ3u0qULHBz4RkIq1atXx9dffw0AmDBhAg4cOKBwRfbt1KlTaNWqFUaNGoW0tDSEh4djz549+OmnnxiIiaxcYmIi2rdvj4oVK+KLL77A7du3kZycjOTkZJPvpdOLbBI22YgiRL3e9CbDnOKPPvrI2Bn3sLS0NDz77LOoVKkSjhw5glmzZmHy5MlPHeVgaXwnZ0FqtRoNGjTAvn37cOTIEeOb9OIwhGhLheLH9RQbQjF7isnWWToUb9iwAQCHTlvC66+/jq1bt2L16tXo27cvjh8/zr+TJJaTk4OpU6di5syZyMvLg6enJ2bMmIE333yTQ9aJbMTWrVtx8eJFXLx4sdCHWKaGHtnDnB2T83U0LLRl8nUiUPTGrNL4+++/sWXLFqxduxZ///13ge/99NNP0Gq1WLJkCZycnFC7dm0cP34cs2fPxrBhwyxY1ZPxXz4LMwyhNnWxLUNPsZTziQGGYio9DKH48uXLxhXVpXLt2jXExcVBpVIhMjJS0nsTIAgCFi5ciMqVK+Pq1at48803uVKmhPbs2YN69eph2rRpyMvLQ48ePXD27Fm89dZbDMRENmTw4MH5W/IU0Uwlskna5CKK+XOKTW2wYHBPSUnB0KFDsWLFCri5uRX6fmxsLNq2bVtg7aLIyEjEx8fj/v37Fqvrafivn4WZu9iWUj3FnFNM9iIgIADe3t7Q6/W4ePGipPc29BK3atWK+0FaiLe3N37++Weo1WqsWrUKS5YsUbokm6fRaDBmzBi0bdsWFy5cQFBQENatW4fffvsN5cuXV7o8IlKQ0iHS3pot0Ol0hbbnKmkngiiKGDx4MIYPH47GjRsXeU5ycjICAgIKHDN8bc7Qf6kwFFuYoaf46NGj0Ov1xbpGFEVZeoqL+iSRc4rJXgiCYLEh1NyKSR7NmzfHZ599BgAYNWoUzp49q3BFtuvEiRNo0qQJZs6caXzTcvbsWbz44otKl0ZEVkBgk7TJpSRbMp06darA9lze3t6Ijo4u8jnF3Sbsm2++QXp6OsaNGyfjqyANzim2sJo1a8LFxQXp6em4ePFisXp+b926hbS0NAiCgNDQUEnrMYTi7OxspKWlFeoR5vBpsic1atTAgQMHJA3FmZmZiImJAcD5xHL46KOPsG3bNvzzzz94+eWXceDAgSKHY1HRdDodZs2ahYkTJyI3Nxd+fn5YuHAhevTooXRpRGRFVIIAlSBnnLNfcr6OormrT4tA3bp1sWvXrgLHi1qZHCj+NmExMTGIjY0tdJ/GjRvjlVdewfLlyxEYGIiUlJQC3zd8HRgYaOJPIh2GYgtzcHBA/fr1ceDAARw9erRYodgwdLpSpUqP/eU0l5ubG7y9vZGamoqkpCSGYrJrlugpjomJgUajQaVKlVCrVi3J7ktFU6lUWLFiBRo0aIC4uDgMHz4cy5cvh8A3b0+VmJiIV155BTt37gQAvPDCC1i4cCH8/f0VroyIrI2DSoCDin+vSkHW11EP8/Yp1otQq9Xw8vIq1unF3Sbsf//7n3GEF5C/201kZCRWrVqFZs2aAQBatGiB8ePHIzc3F46OjgDyF40LCwtDmTJlTP9ZJMLh0zIwdbEtS23HZPCkecWGOcUcPk32wBKh2DB0+rnnnmMwk0lgYCBWrVoFtVqNFStWKL5tgy3YsGEDGjRogJ07d8Ld3R1LlizBb7/9xkBMREVSQWSTsMlFDxF60fRmqQorVqyIOnXqGJshy4SGhhpXSO/fvz+cnJzw+uuv4/Tp01i1ahW+/vprREVFWaiq4mFPsQwenldcHIaeYqnnExsEBwfj3LlzRYZi9hSTPXk4FIuiWOIQK4oit2JSSLt27RAdHY2PPvoIo0ePRqNGjdCkSROly7I6Wq0W48aNw+zZswEADRs2xC+//GKxD1mJyE7ocvMblZyMr6MoitCZsdq4XsEdHby9vbFlyxaMGDEC4eHhKFeuHCZOnKjodkwAQ7EsHl6BujhvzOXqKU5KSir0PYZisiehoaFwcHBARkYGkpKSSrzC7rFjx5CYmAg3Nze0b99emiKp2D744APs27cP69evx0svvYSjR4+ibNmySpdlNS5evIi+ffsaRyW98847mDFjhuTTcIjIDon6/EYlJ+PrqAdgzuhpuSJx5cqVi1zYt169eti9e7dMVRQPh0/LoHbt2nB2dsaDBw9w+fLlp55vqe2YDJ40fJqhmOyJo6OjcbG6M2fOlPh+f/zxB4D8/fRcXFxKfD8yjSAIWLZsGapVq4aEhAT07dsXubns2QCAn3/+GY0aNcKRI0fg6+uL33//HXPmzGEgJqJiEUQ9m4RNLnoR0P3bW2xKs+A2xTaLoVgGjo6OqFevHoCnD6HW6/WyDJ8GOKeYSoc6deoAAE6ePFniexlC8fPPP1/ie5F5vL29sXbtWri7u+Off/7Be++9p3RJisrKysIbb7yB/v37Iz09HW3atMGJEyf4O0pEVArkh2LTG8cEFMZQLBPDEOqnLbaVmJiInJwcODo6olKlShaphcOnqTSpX78+gPx9Wkvi+vXrOHbsGARB4P7ECqtXrx5+/PFHCIKAuXPnYu7cuUqXpIjTp0+jSZMmWLx4MQRBwMSJExETE2NczISIqLhEQcUmYZPtzw2m9xLrRLHIIc2lHUOxTIq7ArVhPnHVqlXh4GCZKd+PGz6dl5eHjIwMAAzFZD+kCsV//vknAKBly5bF2paALKtHjx6YNm0agPy5s1u3blW4IvmIoojvv/8eTZo0wZkzZxAUFIRt27ZhypQpFvt3g4jsnKBik7LJhD3F0uG/njIp7mJblp5PDDx++PS9e/cA5M/bU3KfMCIpGULx2bNnodVq4eTkZNZ9OHTa+owZMwZnzpzBihUr8PLLLyM2Nta44ri9SktLw5tvvolffvkFQP789h9++IFbLRFRyagd8xuVnIyvY/5CW6b3+rKjuDD2FMukTp06cHR0xL1793Dt2rXHnmfoKbbUfGLgv57ijIwMpKenG4/fuXMHAFCmTBn2NpDdqFixInx8fJCbm4uzZ8+adY+0tDTExMQAYCi2JoIgYNGiRWjZsiUePHiAyMhIJCYmKl2WxRw9ehSNGjXCL7/8ArVajRkzZmDjxo0MxERUYnkim5RNLuwplg5DsUycnZ1Rt25dAE9ebMvS2zEBgIeHBzw9PQEU7C02hOJy5cpZ7NlEchMEwbjQ3fHjx826x5YtW5Cbm4tnnnkGYWFhElZHJeXs7Iz169ejevXqSEhIQGRkpHHUi70QRRH/+9//0KJFC1y6dAkVK1bErl278NFHH0Gl4j/jRFRyepFNyka2h/+ayqg4i21ZeuVpg6LmFTMUk71q0KABgKev/v44Dw+dfto+4yQ/Pz8/bNmyBcHBwTh9+jSee+45ZGZmKl2WJO7du4eePXvinXfegVarRY8ePXDs2DG0bNlS6dKIyI7oRZFNwibfn5t5PcUcPl0YQ7GMGjduDAA4fPhwkd/Pzc017mMsVyh+eAXq27dvA2AoJvvTrFkzAMCBAwdMvjYvLw8bNmwAwKHT1qxSpUrYsmULypQpg9jYWLsIxvv27UPDhg2xfv16ODk54X//+x/WrVsHX19fpUsjIjsjskna5GLu6tN6Wau0DQzFMmrSpAkA4NChQ0UuhX7mzBnk5eXB29vb4ltqFLXYlqGnmCvrkr1p3rw5AODYsWPQaDQmXbtnzx7cu3cPvr6+7J2zcrVr18bGjRvh6emJHTt2oGvXrsYV9W2JXq/HjBkz0LZtWyQkJKBatWqIjY3FqFGjOFKBiCxCYJO0yYU9xdJhKJZR3bp14ezsjPv37+PSpUuFvm8Y2tmoUSOLv/EpX748AODGjRvGYxw+TfaqSpUq8PPzg1arxbFjx0y6dvXq1QCA7t27cwE6G9C8eXNs2bIFXl5e2LVrFzp37oy0tDSlyyq2K1euoFOnThg7dix0Oh369u2LI0eOGKffEBFZgkoQ2CRsctGb3VNMj2IolpGjo6NxbuOhQ4cKfd8Qihs2bGjxWipWrAgASEhIMB5jKCZ7JQiCsbd4//79xb4uLy8Pa9asAQD069fPIrWR9Jo3b46tW7fC29sbe/fuRZs2bQp8AGiNRFHEggULULduXezYsQNubm5YtGgRVq5cCS8vL6XLIyI756AS2CRscmFPsXQYimVmGEJ98ODBQt8z9GDJ0SNgCMUPbw/FOcVkzwzzik0JxTExMbhz5w7KlSuHjh07Wqo0soCmTZsiJiYGAQEBOHnyJJo3b44TJ04oXVaRrl+/jsjISLz11lvIzMxEmzZtcPLkSbzxxhscLk1EslBBZJOwyUUUwTnFEuFYQJkZQvGjC/7odDrjdjFy9BRXqlQJQNE9xZxTTPaodevWAIAdO3ZAr9cXayubn3/+GQDQu3dvODo6WrQ+kl6jRo2wf/9+dO3aFWfPnkXr1q3xww8/4MUXX1S6NAD5IxG+/fZbTJw4Eenp6XBxcUF0dDRGjx7NrZaISF663PxGJSfj66hHfs+vydcxExfCf3VlZnhjfujQoQILwMTFxSEzMxPu7u6y7INqCMW3bt1CdnY2AA6fJvvWvHlzuLu7IyUlBadOnXrq+RqNBuvWrQMA9O3b19LlkYVUrlwZ+/btQ4cOHZCRkYGePXti1KhRyMnJUbSuffv2ITw8HO+99x7S09PRokULHD9+HO+++y4DMRHJT9SzSdlkojejl1gniuwnLgL/5ZVZlSpVULFiReTl5WHfvn3G49u3bwcAtGnTBmq12uJ1+Pj4wMPDA0B+b7Fer0dycjIAwN/f3+LPJ5Kbs7Mz2rVrBwDYunXrU8//66+/kJaWhuDgYOOHWWSbfHx8sHnzZnz44YcAgG+//RYtW7bEmTNnZK/l0qVL6N+/P1q1aoWTJ0/C19cXCxcuxJ49e2T5QJSIqCiCqGeTsMlFRH5vsamNobgwhmKZCYKADh06AMifr2iwY8cOAED79u1lq+PhIdS3b9+GRqOBIAgW3w6KSCnPPvssAGDLli1PPfe7774DAAwaNIg9d3bA0dERM2fOxMaNG1GuXDkcO3YMDRo0wCeffGIcLWNJN2/exIgRI1CjRg3jsPzXXnsN8fHxGDp0KH/HiIjIZPnDp82YU8yVtgrhv8IKMLwx/+OPPwAAWq0WO3fuBABjYJaDIRRfvnzZOLc4ODiYcyfJbv3f//0fAGDXrl1P3Kbn0qVL2Lp1KwRBwNChQ+Uqj2TQpUsXHD9+HM8//zxyc3Px2WefoVq1ali0aBFyc6WfB3bixAkMHjwYlStXxrx585CXl4cuXbrg2LFjWLx4MaerEJFVEAUVm4RNLmavPi1bhbaDoVgB3bp1g6OjI86ePYvTp09jy5YtePDgAQICAhAeHi5bHYahevHx8cZVqA1Bmcge1axZEzVq1IBGo8HatWsfe978+fMB5H+AVaVKFbnKI5mUL18e69evx9q1a1GpUiUkJSVh2LBhqFq1KmbMmIFbt26V6P7p6elYvnw5OnbsiAYNGmD58uXQarVo1aoVduzYgY0bNxq35yMisgqCik3KJhNz5xSzp7gwhmIFeHt7o0uXLgCAuXPnYtGiRQDyF/ORYz6xQY0aNQAAZ8+eNfYUG7ZqIrJHgiBgwIABAIAff/yxyHPu3r2LBQsWAABGjRolW20kL0EQ0LNnT8THx+Orr76Cv78/bty4gbFjxyI4OBiRkZH45ptvcOrUKej1T54fptVqceTIEfzvf/9Dly5d4O/vj8GDB2P79u1QqVR4+eWXERsbiz179hjntRMRWRWVmk3KJhMR7CmWCrdkUsi7776LP/74w9gjpVKp8Oabb8paQ82aNQHkh+Lq1asDYCgm+9e/f3+MHz8e27dvR0JCQqHf+a+//hqZmZlo0KABunbtqlCVJBdnZ2e8++67GD58OH755RfMmzcPhw4dwpYtW4xzz11cXFC9enWUL18ePj4+cHR0RE5ODu7du4eEhARcvXoVWq22wH2rV6+OV199FQMHDuQIHCKyenpBDb0gX5izZ3wdbRNDsUI6dOiAwYMHY9myZQCAMWPGGEOqXAzPu3btGvbv3w8AXP2U7F7lypXRsWNHxMTEYPbs2ZgzZ47xe1euXMGXX34JABg/fjwEQVCoSpKbi4sLBg8ejMGDB+PChQtYu3Yttm/fjj179iArKwsnT57EyZMnH3u9r68vmjRpgoiICHTu3Bm1a9fm7w8R2Yw8vYg8bl4rCTlfR8PwadOvs0AxNo6hWEHff/89evToARcXF+PiW3IqV64cKlWqhGvXruHgwYMAgPr168teB5Hcxo4di5iYGMybNw/Dhw9HjRo1oNfrMWzYMGRlZaFt27bo2bOn0mWSQp555hmMHTsWY8eOhU6nw9WrV3Hu3DncunULDx48QG5uLlxdXeHl5YWKFSuiSpUqqFSpEkMwEdksPeeZSkbO1zF/9WnTr+OfdGEMxQpSq9V44YUXFK2hdevWxkW2nJ2dUbt2bUXrIZJDREQEunbtio0bN6JHjx6YP38+li9fjn/++Qeurq5YvHgxt8ghAPl/T4eGhiI0NFTpUoiIiArQi4DOjIjLD0AKs4p3fXPnzkXlypXh4uKCZs2aGXstH2fNmjWoUaMGXFxcULduXWzcuFGmSu3Pyy+/bPzvLl26wMXFRcFqiOQhCAK+//57lC9fHvHx8ejYsSOWL18OQRCwePFiVKtWTekSiYiIiB7r1IYY6CCatdBWHoDY5b8q/SNYFcVD8apVqxAVFYVJkybh6NGjqF+/PiIjIx+7Jca+ffvQr18/vP766zh27Bh69OiBHj16IC4uTubK7UO3bt0waNAg1KtXD5MnT1a6HCLZBAUFYf/+/ejVqxf8/PzQokULbN26Ff369VO6NCIiomJ5/vnnUbFiRbi4uCAoKAgDBgxAUlKSyfcR2CRtcigPF5xFBvQm9hTnQcR5ZGD88nkWqsw2CaKobP95s2bN0KRJE3z77bcAAL1ej5CQEIwaNQpjx44tdH6fPn2QmZmJv/76y3isefPmaNCggXEblSdJS0uDt7c3UlNT4eXlJd0PQkRERDaB7wXIXnz11Vdo0aIFgoKCkJiYiA8++ABAfidScRj+v3Du/AV4enpastRSIz09HTWqP2Pxv180Gg38XNwRDh+EwaPY151AKi4gE7d0OZwq9hBF5xQb9nYcN26c8dj/t3fnUVXW+R/A3/cC96IEknJlEyhA0JRwOzq4AUaDo2Nac5KEcBnXccmlLEqL1NJOxyGnRtPSpPFAnpzIPClqgzChIiqBkVuJqDmJhgteXJDl8/vDH894Exgu3oXLfb/Oec7h+d5n+Xwe7n2e5/OsarUaMTExyMvLa3CcvLw8LFiwwKAtNjYWW7dubXD4qqoqVFVVKf3Xr19/8MCJiIiIiKxs/vz5yt8BAQFISkrCmDFjUF1dDScnp2ZPx1F1t6MHZ6nlqNVqsS59E6bGJyII7eHYjAuAb6MW3+E6tn+ziwXxb1i1KC4vL0dtbS08PT0N2j09PXHixIkGxykrK2tw+LKysgaHX7FiBZYsWWKagImIiIiIWqErV64gLS0NAwcObLQgbvRkUW313Y4enAWXY1xcHObGT0Qx9OiNDv9z+O9QAU9oEBMTY4HobEubP0Tw6quvoqKiQul+/vlna4dERERERGQSr7zyClxcXNCpUyecO3cOX331VaPDrlixAh06dFA6Pz+/ux9IHTtTdhaiVqvxefYuFKECt1Db5LDXUY1jqMT275t+oLG9smpR7OHhAQcHB1y8eNGg/eLFi/Dy8mpwHC8vL6OG12q1cHNzM+iIiIiIiFqjpKQkqFSqJrt7r6hcuHAhCgsLsXv3bjg4OGD8+PFo7JFBjZ0sUkkdOxN2lhQVFQUvOKMAFU0OdxDXEIz2CAsLs1BktsWql09rNBr07dsXWVlZGDNmDIC7D9rKysrC7NmzGxwnIiICWVlZmDdvntL2zTffICIiwgIRExERERGZz4svvoiJEyc2OUxgYKDyt4eHBzw8PBASEoLu3bvDz88PBw4caHDfWKvVQqvVmjpksrLMo4fxeI+eCIMrOuD+S+cvoQpncQtnzvOK2cZYtSgGgAULFmDChAno168f+vfvj1WrVuHGjRuYNGkSAGD8+PHw9fXFihUrAABz585FZGQk/vrXv2LkyJHYvHkzDh8+jI8++siaaRARERERPTCdTgedTteicevq7p6lvPe+YWr7HnvsMYTABfm4ht/D8LsjEBzAVYTBFb6+vlaKsPWzelEcFxeHX3/9FW+88QbKysrQq1cv7Ny5U3mY1rlz5wyejjZw4ECkp6dj8eLFeO2119C1a1ds3boVPXv2tFYKREREREQWlZ+fj0OHDmHw4MF4+OGHUVJSgtdffx1BQUFGX0EpageI2sFMkdoXay3HPRd+gp+3D8pwG15wVtrP4hauohonKi5ZJS5bYfX3FFsa301IRERk37gvQG1BcXEx5s6diyNHjuDGjRvw9vbG8OHDsXjx4mafEaz/LZz68STfU2wier0ewSGhVlm/9FO54zxuYzQ8oYIKdRBswS946++rMGvWLIvGYmusfqaYiIiIiIiMExYWhj179phkWjxTbDrWXI45+vPwdHVHKW4hEO1xApUQANOmTbNaTLaCRTERERERkR2rrRPU1tnVxaNmY83l+NBDD+G9dWvw8vRZ8IUWh3ENaRn/bPS91fRfvHyaiIiI7Ar3BYjuqv8t/HTqFC+fNhG9Xo+uwcFWW7/U1NRA59QeagAaqPFL3S2oVCqLx2Fr7O5Mcf0xgOvXr1s5EiIiIrKG+n0AOzsvQHSf+t+AXq+3ciRtR/2ytNb6xdHREf/Y9gVGP/UU9u3fz4K4meyuKK7/ovr5+Vk5EiIiIrImvV6PDh06WDsMIqu5fPkyAKBP795WjqTtuXz5stXWL6NGjUIdD/oZxe6KYh8fH/z8889wdXW1uSMn169fh5+fH37++We7vNyL+dt3/gCXAfNn/vacP2C6ZSAi0Ov18PHxMWF0RLanY8eOAO6+ArW1HyCylXVgRUUF/P39lWVLtsHuimK1Wo0uXbpYO4wH4ubm1qpXBubG/O07f4DLgPkzf3vOHzDNMmjtBQCRJajVagB3fw+2sl6xlXVg/bIl28D/FhEREREREdktFsVERERERERkt1gU2xCtVovk5GRotVprh2IVzN++8we4DJg/87fn/AEuAyJTs6XflK3EaitxkiG7e08xERERERERUT2eKSYiIiIiIiK7xaKYiIiIiIiI7BaLYiIiIiIiIrJbLIpbmdWrV+ORRx6Bs7MzBgwYgIMHDzZrvM2bN0OlUmHMmDHmDdDMjMk/NTUVKpXKoHN2drZgtKZn7P//2rVrmDVrFry9vaHVahESEoIdO3ZYKFrzMGYZREVF3fcdUKlUGDlypAUjNi1jvwOrVq1CaGgo2rVrBz8/P8yfPx+3b9+2ULSmZ0z+1dXVWLp0KYKCguDs7Izw8HDs3LnTgtGa1rfffotRo0bBx8cHKpUKW7du/Z/j5OTkoE+fPtBqtQgODkZqaqrZ4zQXY/O/cOEC4uPjERISArVajXnz5lkkTiJbd+XKFSQkJMDNzQ3u7u6YPHkyKisrmxynoe3tjBkzTB6bsdvALVu2oFu3bnB2dkZYWJjF9oHsfX+1TRJqNTZv3iwajUY++eQTOXr0qEydOlXc3d3l4sWLTY5XWloqvr6+MmTIEBk9erRlgjUDY/PfuHGjuLm5yYULF5SurKzMwlGbjrH5V1VVSb9+/WTEiBGyd+9eKS0tlZycHCkqKrJw5KZj7DK4fPmywf//hx9+EAcHB9m4caNlAzcRY/NPS0sTrVYraWlpUlpaKrt27RJvb2+ZP3++hSM3DWPzf/nll8XHx0e2b98uJSUlsmbNGnF2dpbvvvvOwpGbxo4dO2TRokWSkZEhAOTLL79scvjTp09L+/btZcGCBXLs2DH54IMPxMHBQXbu3GmZgE3M2PxLS0vlhRdekE8//VR69eolc+fOtUicRLZu+PDhEh4eLgcOHJDc3FwJDg6WcePGNTlOZGSkTJ061WCbW1FRYdK4jN0G7Nu3TxwcHOTdd9+VY8eOyeLFi8XJyUmKi4tNGteDxtnW9lfbKhbFrUj//v1l1qxZSn9tba34+PjIihUrGh2npqZGBg4cKOvXr5cJEybYdFFsbP4bN26UDh06WCg68zM2/w8//FACAwPlzp07lgrR7FryG7jXe++9J66urlJZWWmuEM3K2PxnzZolw4YNM2hbsGCBDBo0yKxxmoux+Xt7e8vf//53g7ZnnnlGEhISzBqnJTSnKHz55ZelR48eBm1xcXESGxtrxsgsozn53ysyMpJFMVEzHDt2TADIoUOHlLbMzExRqVTyn//8p9HxLPEbM3YbMHbsWBk5cqRB24ABA2T69OmtKs62tr/aVvHy6Vbizp07KCgoQExMjNKmVqsRExODvLy8RsdbunQpOnfujMmTJ1siTLNpaf6VlZUICAiAn58fRo8ejaNHj1oiXJNrSf7btm1DREQEZs2aBU9PT/Ts2RPLly9HbW2tpcI2qZZ+B+61YcMGPPfcc3BxcTFXmGbTkvwHDhyIgoIC5bKt06dPY8eOHRgxYoRFYjalluRfVVV13yVo7dq1w969e80aa2uRl5dnsLwAIDY2ttm/FyKyP3l5eXB3d0e/fv2UtpiYGKjVauTn5zc5blpaGjw8PNCzZ0+8+uqruHnzpsniask2wBrrQHvfX23LHK0dAN1VXl6O2tpaeHp6GrR7enrixIkTDY6zd+9ebNiwAUVFRRaI0Lxakn9oaCg++eQTPP7446ioqMDKlSsxcOBAHD16FF26dLFE2CbTkvxPnz6NPXv2ICEhATt27MCpU6cwc+ZMVFdXIzk52RJhm1RLlsG9Dh48iB9++AEbNmwwV4hm1ZL84+PjUV5ejsGDB0NEUFNTgxkzZuC1116zRMgm1ZL8Y2NjkZKSgqFDhyIoKAhZWVnIyMiw2QNDxiorK2tweV2/fh23bt1Cu3btrBQZEbVWZWVl6Ny5s0Gbo6MjOnbsiLKyskbHi4+PR0BAAHx8fPD999/jlVdewcmTJ5GRkWGSuFqyDWhsHdhUHtaIsy3tr7ZlPFNso/R6PRITE/Hxxx/Dw8PD2uFYRUREBMaPH49evXohMjISGRkZ0Ol0WLdunbVDs4i6ujp07twZH330Efr27Yu4uDgsWrQIa9eutXZoVrFhwwaEhYWhf//+1g7FYnJycrB8+XKsWbMG3333HTIyMrB9+3YsW7bM2qFZxN/+9jd07doV3bp1g0ajwezZszFp0iSo1dy0EZF9SUpKavDBk/d2zTnA3Jhp06YhNjYWYWFhSEhIwD/+8Q98+eWXKCkpMWEWbZO976/aCp4pbiU8PDzg4OCAixcvGrRfvHgRXl5e9w1fUlKCM2fOYNSoUUpbXV0dgLtH/E6ePImgoCDzBm1CxubfECcnJ/Tu3RunTp0yR4hm1ZL8vb294eTkBAcHB6Wte/fuKCsrw507d6DRaMwas6k9yHfgxo0b2Lx5M5YuXWrOEM2qJfm//vrrSExMxJQpUwAAYWFhuHHjBqZNm4ZFixbZVHHYkvx1Oh22bt2K27dv4/Lly/Dx8UFSUhICAwMtEbLVeXl5Nbi83NzceJaYyM68+OKLmDhxYpPDBAYGwsvLC5cuXTJor6mpwZUrV5q9vwUAAwYMAACcOnXKJPubLdkGNLYONCYPS8T5W7a8v9qW2c4eUxun0WjQt29fZGVlKW11dXXIyspCRETEfcN369YNxcXFKCoqUrqnnnoK0dHRKCoqgp+fnyXDf2DG5t+Q2tpaFBcXw9vb21xhmk1L8h80aBBOnTqlHAwBgB9//BHe3t42VxADD/Yd2LJlC6qqqvD888+bO0yzaUn+N2/evK/wrT9IIiLmC9YMHuT/7+zsDF9fX9TU1OCLL77A6NGjzR1uqxAREWGwvADgm2++afY6k4jaDp1Oh27dujXZaTQaRERE4Nq1aygoKFDG3bNnD+rq6pRCtznqb90z1T5XS7YB1lgH2vv+aptm7Sd90X9t3rxZtFqtpKamyrFjx2TatGni7u6uPLY9MTFRkpKSGh3f1p8+bWz+S5YskV27dklJSYkUFBTIc889J87OznL06FFrpfBAjM3/3Llz4urqKrNnz5aTJ0/K119/LZ07d5a33nrLWik8sJb+BgYPHixxcXGWDtfkjM0/OTlZXF1d5bPPPpPTp0/L7t27JSgoSMaOHWutFB6IsfkfOHBAvvjiCykpKZFvv/1Whg0bJo8++qhcvXrVShk8GL1eL4WFhVJYWCgAJCUlRQoLC+Xs2bMiIpKUlCSJiYnK8PWvZFq4cKEcP35cVq9ebdOvZDI2fxFRhu/bt6/Ex8dLYWGhzW4DiCxl+PDh0rt3b8nPz5e9e/dK165dDV7JdP78eQkNDZX8/HwRETl16pQsXbpUDh8+LKWlpfLVV19JYGCgDB061KRxGbsN2Ldvnzg6OsrKlSvl+PHjkpycbLFXMtnz/mpbxaK4lfnggw/E399fNBqN9O/fXw4cOKB8FhkZKRMmTGh0XFsvikWMy3/evHnKsJ6enjJixAibfT9pPWP///v375cBAwaIVquVwMBAefvtt6WmpsbCUZuWscvgxIkTAkB2795t4UjNw5j8q6ur5c0335SgoCBxdnYWPz8/mTlzps0WhSLG5Z+TkyPdu3cXrVYrnTp1ksTExCZfKdLaZWdnC4D7uvqcJ0yYIJGRkfeN06tXL9FoNBIYGGiz7+gWaVn+DQ0fEBBg8diJbMnly5dl3Lhx8tBDD4mbm5tMmjRJ9Hq98nlpaakAkOzsbBG5exB+6NCh0rFjR9FqtRIcHCwLFy40+XuKRYzfB/j8888lJCRENBqN9OjRQ7Zv327ymB40zra4v9oWqURs7Bo7IiIiIiIiIhPhPcVERERERERkt1gUExERERERkd1iUUxERERERER2i0UxERERERER2S0WxURERERERGS3WBQTERERERGR3WJRTERERERERHaLRTERERERERHZLRbFRNTqvfnmm+jVq5e1w1CoVCps3brV6PFOnjwJLy8v6PV60wd1j/LycnTu3Bnnz58363yIiIiI2gIWxUQEAFi7di1cXV1RU1OjtFVWVsLJyQlRUVEGw+bk5EClUqGkpMTCUVqWqYvxV199FXPmzIGrq6vJptkQDw8PjB8/HsnJyWadDxEREVFbwKKYiAAA0dHRqKysxOHDh5W23NxceHl5IT8/H7dv31bas7Oz4e/vj6CgIGuEapPOnTuHr7/+GhMnTrTI/CZNmoS0tDRcuXLFIvMjIiIislUsiokIABAaGgpvb2/k5OQobTk5ORg9ejQeffRRHDhwwKA9OjoaALBp0yb069cPrq6u8PLyQnx8PC5dugQAqKurQ5cuXfDhhx8azKuwsBBqtRpnz54FAFy7dg1TpkyBTqeDm5sbhg0bhiNHjjQZ7/r169G9e3c4OzujW7duWLNmjfLZmTNnoFKpkJGRgejoaLRv3x7h4eHIy8szmMbHH38MPz8/tG/fHk8//TRSUlLg7u4OAEhNTcWSJUtw5MgRqFQqqFQqpKamKuOWl5fj6aefRvv27dG1a1ds27atyXg///xzhIeHw9fXV2lr6Ez0qlWr8Mgjjyj9EydOxJgxY7B8+XJ4enrC3d0dS5cuRU1NDRYuXIiOHTuiS5cu2Lhxo8F0evToAR8fH3z55ZdNxkVERNRa/frrr/Dy8sLy5cuVtv3790Oj0SArK8uKkVFbw6KYiBTR0dHIzs5W+rOzsxEVFYXIyEil/datW8jPz1eK4urqaixbtgxHjhzB1q1bcebMGeVsqFqtxrhx45Cenm4wn7S0NAwaNAgBAQEAgGeffRaXLl1CZmYmCgoK0KdPHzzxxBONnuVMS0vDG2+8gbfffhvHjx/H8uXL8frrr+PTTz81GG7RokV46aWXUFRUhJCQEIwbN065PHzfvn2YMWMG5s6di6KiIjz55JN4++23lXHj4uLw4osvokePHrhw4QIuXLiAuLg45fMlS5Zg7Nix+P777zFixAgkJCQ0eVY2NzcX/fr1a3L5N2bPnj345Zdf8O233yIlJQXJycn44x//iIcffhj5+fmYMWMGpk+fft89xP3790dubm6L5klERGRtOp0On3zyCd58800cPnwYer0eiYmJmD17Np544glrh0dtiRAR/b+PP/5YXFxcpLq6Wq5fvy6Ojo5y6dIlSU9Pl6FDh4qISFZWlgCQs2fPNjiNQ4cOCQDR6/UiIlJYWCgqlUoZvra2Vnx9feXDDz8UEZHc3Fxxc3OT27dvG0wnKChI1q1bJyIiycnJEh4ebvBZenq6wfDLli2TiIgIEREpLS0VALJ+/Xrl86NHjwoAOX78uIiIxMXFyciRIw2mkZCQIB06dFD6fzvfegBk8eLFSn9lZaUAkMzMzAaXiYhIeHi4LF261KCtoem/9957EhAQoPRPmDBBAgICpLa2VmkLDQ2VIUOGKP01NTXi4uIin332mcG05s+fL1FRUY3GREREZAtmzpwpISEhEh8fL2FhYfftMxA9KJ4pJiJFVFQUbty4gUOHDiE3NxchISHQ6XSIjIxU7ivOyclBYGAg/P39AQAFBQUYNWoU/P394erqisjISAB376EFgF69eqF79+7K2eJ///vfuHTpEp599lkAwJEjR1BZWYlOnTrhoYceUrrS0tIGH+R148YNlJSUYPLkyQbDv/XWW/cN//jjjyt/e3t7A4ByaffJkyfRv39/g+F/29+Ue6ft4uICNzc3ZdoNuXXrFpydnZs9/Xv16NEDavV/V9eenp4ICwtT+h0cHNCpU6f75t+uXTvcvHmzRfMkIiJqLVauXImamhps2bIFaWlp0Gq11g6J2hhHawdARK1HcHAwunTpguzsbFy9elUpcH18fODn54f9+/cjOzsbw4YNA3C3QI2NjUVsbCzS0tKg0+lw7tw5xMbG4s6dO8p0ExISkJ6ejqSkJKSnp2P48OHo1KkTgLtPuP7tvcz16u/vvVdlZSWAu/cDDxgwwOAzBwcHg34nJyflb5VKBeDufc6mcO+066ff1LQ9PDxw9epVgza1Wg0RMWirrq5u1ryaM/8rV65Ap9M1ngQREZENKCkpwS+//IK6ujqcOXPG4MAwkSmwKCYiA9HR0cjJycHVq1excOFCpX3o0KHIzMzEwYMH8Ze//AUAcOLECVy+fBnvvPMO/Pz8AMDg6dX14uPjsXjxYhQUFOCf//wn1q5dq3zWp08flJWVwdHR0eABU43x9PSEj48PTp8+jYSEhBbnGRoaikOHDhm0/bZfo9Ggtra2xfO4V+/evXHs2DGDNp1Oh7KyMoiIUrQXFRWZZH4A8MMPP9z3Oi0iIiJbcufOHTz//POIi4tDaGgopkyZguLiYnTu3NnaoVEbwsunichAdHQ09u7di6KiIuVMMQBERkZi3bp1uHPnjvKQLX9/f2g0GnzwwQc4ffo0tm3bhmXLlt03zUceeQQDBw7E5MmTUVtbi6eeekr5LCYmBhERERgzZgx2796NM2fOYP/+/Vi0aFGDBTZw9yFXK1aswPvvv48ff/wRxcXF2LhxI1JSUpqd55w5c7Bjxw6kpKTgp59+wrp165CZmakUp/Vxl5aWoqioCOXl5aiqqmr29H8rNjYWeXl5BkV2VFQUfv31V7z77rsoKSnB6tWrkZmZ2eJ53OvmzZsoKCjA73//e5NMj4iIyBoWLVqEiooKvP/++3jllVcQEhKCP//5z9YOi9oYFsVEZCA6Ohq3bt1CcHAwPD09lfbIyEjo9Xrl1U3A3TOdqamp2LJlCx577DG88847WLlyZYPTTUhIwJEjR/D000+jXbt2SrtKpcKOHTswdOhQTJo0CSEhIXjuuedw9uxZg/nfa8qUKVi/fj02btyIsLAwREZGIjU1FY8++miz8xw0aBDWrl2LlJQUhIeHY+fOnZg/f77Bfb9/+tOfMHz4cERHR0On0+Gzzz5r9vR/6w9/+AMcHR3xr3/9S2nr3r071qxZg9WrVyM8PBwHDx7ESy+91OJ53Ourr76Cv78/hgwZYpLpERERWVpOTg5WrVqFTZs2wc3NDWq1Gps2bUJubu59r3skehAq+e0NbUREdmrq1Kk4ceKE2V5jtHr1amzbtg27du0yy/Tv9bvf/Q4vvPAC4uPjzT4vIiIiIlvGe4qJyG6tXLkSTz75JFxcXJCZmYlPP/0Ua9asMdv8pk+fjmvXrkGv18PV1dVs8ykvL8czzzyDcePGmW0eRERERG0FzxQTkd0aO3YscnJyoNfrERgYiDlz5mDGjBnWDouIiIiILIhFMREREREREdktPmiLiIiIiIiI7BaLYiIiIiIiIrJbLIqJiIiIiIjIbrEoJiIiIiIiIrvFopiIiIiIiIjsFotiIiIiIiIislssiomIiIiIiMhusSgmIiIiIiIiu8WimIiIiIiIiOzW/wF2vjnW0kT6fgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R = sim_data[\"R\"].flux  # extracting reflectance data from the flux monitor.\n",
    "R_c = (\n",
    "    ((n_s * n_0 * n_1 ** (2 * N)) - (n_2 ** (2 * N + 2)))\n",
    "    / ((n_s * n_0 * n_1 ** (2 * N)) + (n_2 ** (2 * N + 2)))\n",
    ") ** 2\n",
    "wl_range = td.C_0 / freqs  # wavelength range.\n",
    "\n",
    "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "ax1.plot(wl_range, R, \"-k\")\n",
    "ax1.scatter(lda0, R_c, marker=\"*\", s=100)\n",
    "ax1.set_xlabel(\"Wavelength (um)\")\n",
    "ax1.set_ylabel(\"Reflectance\")\n",
    "\n",
    "sim_data.plot_field(\"field_xz\", \"Ex\", val=\"imag\", ax=ax2)\n",
    "ax2.set_aspect(0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46682a52-49d5-46e4-bada-13da34aaf4d0",
   "metadata": {},
   "source": [
    "Create frequency domain animation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4635714a-0d17-466c-a75f-ad55e417c606",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_imgd74f33d07baf4d4da7ca0a07f2774d94\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_sliderd74f33d07baf4d4da7ca0a07f2774d94\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"animd74f33d07baf4d4da7ca0a07f2774d94.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"animd74f33d07baf4d4da7ca0a07f2774d94.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_selectd74f33d07baf4d4da7ca0a07f2774d94\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_d74f33d07baf4d4da7ca0a07f2774d94\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_d74f33d07baf4d4da7ca0a07f2774d94\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_d74f33d07baf4d4da7ca0a07f2774d94\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_d74f33d07baf4d4da7ca0a07f2774d94\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_d74f33d07baf4d4da7ca0a07f2774d94\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_d74f33d07baf4d4da7ca0a07f2774d94\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_imgd74f33d07baf4d4da7ca0a07f2774d94\";\n",
       "    var slider_id = \"_anim_sliderd74f33d07baf4d4da7ca0a07f2774d94\";\n",
       "    var loop_select_id = \"_anim_loop_selectd74f33d07baf4d4da7ca0a07f2774d94\";\n",
       "    var frames = new Array(50);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "4Jd4EggA22zZskWnnnqqVq9eraysLLvLOeGqewrJibZo0SL179+fJ4EAqIQZQAA4if70pz+pfv36\\\n",
       "+u677074sbp163bcmVAAsY37AALASZKXl6cjR45Iklq1anXCj/fJJ58ErihOS0s74ccDUHewBAwA\\\n",
       "ABBjWAIGAACIMQRAAACAGEMABAAAiDEEQAAAgBhDAAQAAIgxBEAAAIAYQwAEAACIMQRAAACAGEMA\\\n",
       "BAAAiDH/H6LPceLA5HARAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        animd74f33d07baf4d4da7ca0a07f2774d94 = new Animation(frames, img_id, slider_id, 200.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.animation as animation\n",
    "from IPython.display import HTML\n",
    "\n",
    "frames = 50  # number of frames\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "def animate(i):\n",
    "    phase = -2 * np.pi * i / frames\n",
    "    sim_data[\"field_xz\"].apply_phase(phase).Ex.real.plot(\n",
    "        x=\"x\", y=\"z\", ax=ax, vmin=-60, vmax=60, add_colorbar=False, cmap=\"RdBu\"\n",
    "    )\n",
    "    ax.set_aspect(0.7)\n",
    "\n",
    "# create animation\n",
    "ani = animation.FuncAnimation(fig, animate, frames=frames)\n",
    "plt.close()\n",
    "\n",
    "# display the animation\n",
    "HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00d33947-e18b-4326-93b2-ba0b21dfad97",
   "metadata": {},
   "source": [
    "Inspect the field at certain time instances, namely 6 fs and 20 fs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "91a946d3-5b59-463f-8f4f-d744482d2099",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(10, 5), tight_layout=True)\n",
    "\n",
    "sim_data[\"movie\"].Ex.sel(t=6e-15, method=\"nearest\").plot(x=\"x\", y=\"z\", ax=ax[0])\n",
    "\n",
    "sim_data[\"movie\"].Ex.sel(t=2e-14, method=\"nearest\").plot(x=\"x\", y=\"z\", ax=ax[1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a41c097-813b-49d8-b196-fa611f6f4792",
   "metadata": {},
   "source": [
    "Create time domain animation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3d910be3-40c1-4653-95a8-b951939da9be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img387897e96cc84ec7ac0d339da57c0618\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider387897e96cc84ec7ac0d339da57c0618\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim387897e96cc84ec7ac0d339da57c0618.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim387897e96cc84ec7ac0d339da57c0618.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select387897e96cc84ec7ac0d339da57c0618\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_387897e96cc84ec7ac0d339da57c0618\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_387897e96cc84ec7ac0d339da57c0618\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_387897e96cc84ec7ac0d339da57c0618\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_387897e96cc84ec7ac0d339da57c0618\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_387897e96cc84ec7ac0d339da57c0618\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_387897e96cc84ec7ac0d339da57c0618\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img387897e96cc84ec7ac0d339da57c0618\";\n",
       "    var slider_id = \"_anim_slider387897e96cc84ec7ac0d339da57c0618\";\n",
       "    var loop_select_id = \"_anim_loop_select387897e96cc84ec7ac0d339da57c0618\";\n",
       "    var frames = new Array(50);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "ARAAAMAwBEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAE\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim387897e96cc84ec7ac0d339da57c0618 = new Animation(frames, img_id, slider_id, 200.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_end = sim_data[\"movie\"].Ex.coords[\"t\"][-1]  # end time of the animation\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "def animate(i):\n",
    "    t = t_end * i / frames  # time at each frame\n",
    "    sim_data[\"movie\"].Ex.sel(t=t, method=\"nearest\").plot(\n",
    "        x=\"x\", y=\"z\", ax=ax, vmin=-20, vmax=20, add_colorbar=False, cmap=\"RdBu\"\n",
    "    )\n",
    "    ax.set_aspect(0.7)\n",
    "\n",
    "# create animation\n",
    "ani = animation.FuncAnimation(fig, animate, frames=frames)\n",
    "plt.close()\n",
    "\n",
    "# display the animation\n",
    "HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0c8e122",
   "metadata": {},
   "source": [
    "## Activity 2\n",
    "\n",
    "Modify the first activity to calculate the reflectance of DBR devices for N = [2, 4, 6, 8] layers and compare the simulated and analytical results. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "160dd4e6",
   "metadata": {},
   "source": [
    "We will start by defining a function to create the DBR structure based on the number of pairs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "5a675999",
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_DBR(N):\n",
    "    # N is the number of repeated pairs of low/high refractive index material.\n",
    "\n",
    "    z_0 = 0  # z coordinate of the layer (modify as needed).\n",
    "    inf_eff = 10  # effective infinity in this model.\n",
    "\n",
    "    DBR = []  # holder for the DBR structure.\n",
    "\n",
    "    # build the substrate structure.\n",
    "    sub = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)\n",
    "        ),\n",
    "        medium=medium_s,\n",
    "    )\n",
    "    DBR.append(sub)\n",
    "\n",
    "    # build the first layer.\n",
    "    layer_1 = td.Structure(\n",
    "        geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, t_2)),\n",
    "        medium=medium_2,\n",
    "    )\n",
    "    DBR.append(layer_1)\n",
    "    z_0 = t_2\n",
    "\n",
    "    # include the N pairs of layers alternatively.\n",
    "    for i in range(2 * N):\n",
    "        if i % 2 == 0:\n",
    "            DBR.append(\n",
    "                td.Structure(\n",
    "                    geometry=td.Box.from_bounds(\n",
    "                        rmin=(-inf_eff, -inf_eff, z_0),\n",
    "                        rmax=(inf_eff, inf_eff, z_0 + t_1),\n",
    "                    ),\n",
    "                    medium=medium_1,\n",
    "                )\n",
    "            )\n",
    "            z_0 = z_0 + t_1\n",
    "        else:\n",
    "            DBR.append(\n",
    "                td.Structure(\n",
    "                    geometry=td.Box.from_bounds(\n",
    "                        rmin=(-inf_eff, -inf_eff, z_0),\n",
    "                        rmax=(inf_eff, inf_eff, z_0 + t_2),\n",
    "                    ),\n",
    "                    medium=medium_2,\n",
    "                )\n",
    "            )\n",
    "            z_0 = z_0 + t_2\n",
    "\n",
    "    return DBR"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "baac9cd7",
   "metadata": {},
   "source": [
    "We will define another function to build the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5c2a6a65",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_DBR(N):\n",
    "\n",
    "    # build the DBR layers using the previously defined function\n",
    "    DBR = build_DBR(N)\n",
    "\n",
    "    thickness = t_2 + N * (t_1 + t_2)  # MODIFY this value to include the DBR multilayer thickness.\n",
    "    src_z_pos = thickness + lda0 / 4  # source position.\n",
    "    freq0 = td.C_0 / lda0  # source frequency.\n",
    "    fwidth = 0.5 * freq0  # width of the frequency distribution.\n",
    "\n",
    "    plane_wave = td.PlaneWave(\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        center=(0, 0, src_z_pos),\n",
    "        direction=\"-\",\n",
    "        pol_angle=0,\n",
    "    )\n",
    "\n",
    "    freqs = freq0 * np.linspace(0.5, 1.5, 1001)  # frequency range of interest.\n",
    "\n",
    "    # Flux monitor to measure the reflectance.\n",
    "    flux_monitor = td.FluxMonitor(\n",
    "        center=(0, 0, src_z_pos + lda0 / 4),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        freqs=freqs,\n",
    "        name=\"R\",\n",
    "    )\n",
    "\n",
    "    # Field monitor to visualize the EM field distribution.\n",
    "    field_xz = td.FieldMonitor(\n",
    "        center=(0, 0, 0),\n",
    "        size=(td.inf, 0, td.inf),\n",
    "        freqs=[freq0],\n",
    "        name=\"field_xz\",\n",
    "    )\n",
    "\n",
    "    Lz = thickness + 2 * lda0  # Domain size in z-direction.\n",
    "\n",
    "    sim = td.Simulation(\n",
    "        size=(0, 0, Lz),  # simulation domain size.\n",
    "        center=(0, 0, thickness / 2),\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=60, wavelength=lda0),\n",
    "        structures=DBR,\n",
    "        sources=[plane_wave],\n",
    "        monitors=[flux_monitor, field_xz],\n",
    "        run_time=1e-12,\n",
    "        boundary_spec=td.BoundarySpec(\n",
    "            x=td.Boundary.periodic(), y=td.Boundary.periodic(), z=td.Boundary.pml()\n",
    "        ),  # pml is applied in the z-direction.\n",
    "        shutoff=1e-7,\n",
    "    )  # early shutoff level is decreased to 1e-7 to increase the simulation accuracy.\n",
    "\n",
    "    return sim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2410bb98",
   "metadata": {},
   "source": [
    "Then, run a parameter sweep using a `Batch` object to submit and run all the simulations at once."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "696b0a08",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-c557cd06-209d-45fc-9f54-863bff55b33a'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
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      "text/plain": [
       "\u001b[2;36m15:40:39 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mN\u001b[0m\u001b[32m=\u001b[0m\u001b[32m2\u001b[0m\u001b[32m.00'\u001b[0m with task_id                                 \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-c557cd06-209d-45fc-9f54-863bff55b33a'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m.  \n"
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     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>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-c557cd06-209d-45fc-9f54-863bff55b33a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209d-45fc-9f54-863bff55b33a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">d-45fc-9f54-863bff55b33a'</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=906948;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209d-45fc-9f54-863bff55b33a\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=990279;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209d-45fc-9f54-863bff55b33a\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=906948;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209d-45fc-9f54-863bff55b33a\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=731053;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209d-45fc-9f54-863bff55b33a\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=906948;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209d-45fc-9f54-863bff55b33a\u001b\\\u001b[32m-c557cd06-209\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=906948;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c557cd06-209d-45fc-9f54-863bff55b33a\u001b\\\u001b[32md-45fc-9f54-863bff55b33a'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c54e85cc0358417b9e725eaa61a75064",
       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:40:40 -03 </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'N=4.00'</span> with task_id                                 \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-0774499b-604a-426f-9643-25d0f6167e74'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:40:40 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mN\u001b[0m\u001b[32m=\u001b[0m\u001b[32m4\u001b[0m\u001b[32m.00'\u001b[0m with task_id                                 \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-0774499b-604a-426f-9643-25d0f6167e74'\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-0774499b-604a-426f-9643-25d0f6167e74\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604a-426f-9643-25d0f6167e74\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">a-426f-9643-25d0f6167e74'</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=977690;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604a-426f-9643-25d0f6167e74\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=888936;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604a-426f-9643-25d0f6167e74\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=977690;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604a-426f-9643-25d0f6167e74\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=802685;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604a-426f-9643-25d0f6167e74\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=977690;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604a-426f-9643-25d0f6167e74\u001b\\\u001b[32m-0774499b-604\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=977690;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0774499b-604a-426f-9643-25d0f6167e74\u001b\\\u001b[32ma-426f-9643-25d0f6167e74'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6e32ab7b4fa74390b0fc941dd17d2524",
       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:40:42 -03 </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'N=6.00'</span> with task_id                                 \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-cc9eb736-d818-4b18-9f11-13225e5246cc'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:40:42 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mN\u001b[0m\u001b[32m=\u001b[0m\u001b[32m6\u001b[0m\u001b[32m.00'\u001b[0m with task_id                                 \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-cc9eb736-d818-4b18-9f11-13225e5246cc'\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-cc9eb736-d818-4b18-9f11-13225e5246cc\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d81</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d818-4b18-9f11-13225e5246cc\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">8-4b18-9f11-13225e5246cc'</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=48636;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d818-4b18-9f11-13225e5246cc\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=736520;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d818-4b18-9f11-13225e5246cc\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=48636;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d818-4b18-9f11-13225e5246cc\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=75756;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d818-4b18-9f11-13225e5246cc\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=48636;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d818-4b18-9f11-13225e5246cc\u001b\\\u001b[32m-cc9eb736-d81\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=48636;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc9eb736-d818-4b18-9f11-13225e5246cc\u001b\\\u001b[32m8-4b18-9f11-13225e5246cc'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2fc8707c111743a097dc62b74987cbcb",
       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:40:43 -03 </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'N=8.00'</span> with task_id                                 \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:40:43 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mN\u001b[0m\u001b[32m=\u001b[0m\u001b[32m8\u001b[0m\u001b[32m.00'\u001b[0m with task_id                                 \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2'\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-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33a</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">c-407f-8ab7-c33b83ce88c2'</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=81195;https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=220204;https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=81195;https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=983354;https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=81195;https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\u001b\\\u001b[32m-85ee1ae1-33a\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=81195;https://tidy3d.simulation.cloud/workbench?taskId=fdve-85ee1ae1-33ac-407f-8ab7-c33b83ce88c2\u001b\\\u001b[32mc-407f-8ab7-c33b83ce88c2'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "90b14ade5b914569b3787cabde1426bb",
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       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:40:48 -03 </span>Started working on Batch.                                          \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:40:48 -03\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch.                                          \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\">15:40:52 -03 </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.100</span> for the whole batch.                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:40:52 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.100\u001b[0m for the whole batch.                \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>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Batch has completed.                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after the\n",
       "\u001b[2;36m             \u001b[0mBatch has completed.                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:41:13 -03 </span>Batch complete.                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:41:13 -03\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                    \n"
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      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
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   ],
   "source": [
    "Ns = np.array([2, 4, 6, 8])  # collection of N for the parameter sweep.\n",
    "sims = {f\"N={N:.2f}\": make_DBR(N) for N in Ns}  # construct simulations for each N from Ns.\n",
    "\n",
    "# Batch simulation.\n",
    "batch = web.Batch(simulations=sims, verbose=True)\n",
    "batch_results = batch.run(path_dir=\"data\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "deb37a5a",
   "metadata": {},
   "source": [
    "Finally, we get the simulation results and calculate the analytical reflectance values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "31a1ba2e",
   "metadata": {},
   "outputs": [
    {
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       "\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>data/fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">c557cd06-209d-45fc-9f54-863bff55b33a</span>.hdf5                \n",
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       "\u001b[2;36m15:41:36 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mdata/fdve-\u001b[93mc557cd06-209d-45fc-9f54-863bff55b33a\u001b[0m.hdf5                \n"
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       "\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>data/fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">0774499b-604a-426f-9643-25d0f6167e74</span>.hdf5                \n",
       "</pre>\n"
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       "\u001b[2;36m15:41:38 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mdata/fdve-\u001b[93m0774499b-604a-426f-9643-25d0f6167e74\u001b[0m.hdf5                \n"
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       "\n"
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       "\u001b[2;36m15:41:41 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mdata/fdve-\u001b[93mcc9eb736-d818-4b18-9f11-13225e5246cc\u001b[0m.hdf5                \n"
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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(1, 1, figsize=(9, 6), tight_layout=True)\n",
    "\n",
    "for i, N in enumerate(Ns):\n",
    "    sim_data = batch_results[f\"N={N:.2f}\"]\n",
    "    R = sim_data[\"R\"].flux  # extract reflectance data from the flux monitor\n",
    "    R_c = (\n",
    "        ((n_s * n_0 * n_1 ** (2 * N)) - (n_2 ** (2 * N + 2)))\n",
    "        / ((n_s * n_0 * n_1 ** (2 * N)) + (n_2 ** (2 * N + 2)))\n",
    "    ) ** 2\n",
    "    ax.plot(wl_range, R, label=f\"N={N}\")\n",
    "    ax.scatter(lda0, R_c, marker=\"*\", s=100)\n",
    "\n",
    "ax.set_title(\"Reflectance of DBR of different number of periods\")\n",
    "ax.set_xlabel(\"Wavelength (um)\")\n",
    "ax.set_ylabel(\"Reflectance\")\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5a38740",
   "metadata": {},
   "source": [
    "## References\n",
    "[1] Born M, Wolf E, Bhatia AB, et al. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light. 7th ed. Cambridge: Cambridge University Press; 1999. doi:10.1017/CBO9781139644181"
   ]
  }
 ],
 "metadata": {
  "description": "This notebook demonstrates how to model distributed Bragg reflector and cavity in Tidy3D FDTD.",
  "feature_image": "./img/dbr_schematic.png",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "distributed bragg reflector, DBR, cavity, 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": "3.12.1"
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  "title": "Distributed Bragg Reflector and Cavity | Flexcompute",
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