{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e17eecfd",
   "metadata": {},
   "source": [
    "# Photonic spin selector optimized via direct binary search (DBS)\n",
    "\n",
    "This notebook demonstrates how to design a photonic spin selector (PSS), inspired by the integrated nanophotonic alkali-vapor magnetometer reported by `Sebbag, Y., Talker, E., Naiman, A. et al. Demonstration of an integrated nanophotonic chip-scale alkali vapor magnetometer using inverse design. Light Sci Appl 10, 54 (2021).` [DOI: 10.1038/s41377-021-00499-5](https://doi.org/10.1038/s41377-021-00499-5). In that work, an inverse-designed nanophotonic structure is used to spatially separate right- and left-circularly polarized light into two distinct waveguide outputs, enabling on-chip detection of magnetically induced polarization changes in an atomic vapor without relying on conventional free-space polarization optics.\n",
    "\n",
    "We focus exclusively on the photonic design problem: modeling the sub-wavelength pixelated PSS geometry, launching circularly polarized free-space excitation, and evaluating how efficiently opposite photon spin states are routed into different waveguides. The device consists of a circular design region with a radius of 1.8 µm, discretized into subwavelength binary pixels that can be either silicon nitride or air. For each pixel configuration, a 3D FDTD simulation is used to evaluate the polarization-dependent transmission into the left and right waveguides. A figure of merit is defined to maximize coupling of right-circularly polarized light into one waveguide and left-circularly polarized light into the other, while suppressing cross-coupling. The optimization is performed using a direct binary search (DBS) algorithm, which iteratively flips individual pixels and retains changes only when the figure of merit improves. \n",
    "\n",
    "<center><img src=\"img/spin_selector.png\" alt=\"schematic\"  width=\"400\"/></center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0bd3512f-90f5-4af7-bd67-0fbb2cd71cd6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "65beec88",
   "metadata": {},
   "source": [
    "## Simulation Setup\n",
    "\n",
    "The PPS is designed to operate at the wavelength of 780 nm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a3566139-a63f-40e3-bd73-8ba1b1d20f4b",
   "metadata": {},
   "outputs": [],
   "source": [
    "lda0 = 0.78  # Simulation wavelength\n",
    "freq0 = td.C_0 / lda0  # Simulation frequency\n",
    "fwidth = freq0 / 10  # Source frequency width"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7af7af84",
   "metadata": {},
   "source": [
    "The design region is a circular region with a radius of 1.8 µm. It is connected to single mode SiN waveguides with a width of 450 nm and a thickness of 250 nm. The BOX layer has a thickness of 2 µm. \n",
    "\n",
    "Since we are focusing on a single wavelength, all materials are modelled as nondispersive. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8405d2d7-728b-4470-8059-19cf7d2ddab9",
   "metadata": {},
   "outputs": [],
   "source": [
    "h_wg = 0.25  # Waveguide thickness\n",
    "w_wg = 0.45  # Waveguide width\n",
    "r = 1.8  # Radius of the design region\n",
    "h_box = 2  # Box layer thickness\n",
    "\n",
    "# Define the materials\n",
    "SiN = td.Medium.from_nk(n=2.0255, k=0, freq=freq0)\n",
    "Si = td.Medium.from_nk(n=3.4945, k=0, freq=freq0)\n",
    "SiO2 = td.Medium.from_nk(n=1.4537, k=0, freq=freq0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e31492a",
   "metadata": {},
   "source": [
    "Next we define the static components of the simulation, which includes the SiN waveguides, BOX layer, Si substrate, and two [ModeMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html) placed on the two waveguides to measure transmission power."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "86143c25-812a-4bf3-8bd7-e38a61848293",
   "metadata": {},
   "outputs": [],
   "source": [
    "inf_eff = 1e2  # Effective infinity\n",
    "\n",
    "# Define the SiN waveguides connected to the design region\n",
    "waveguide_left = td.Structure(\n",
    "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -w_wg / 2, 0), rmax=(-r, w_wg / 2, h_wg)),\n",
    "    medium=SiN,\n",
    ")\n",
    "\n",
    "waveguide_right = td.Structure(\n",
    "    geometry=td.Box.from_bounds(rmin=(r, -w_wg / 2, 0), rmax=(inf_eff, w_wg / 2, h_wg)),\n",
    "    medium=SiN,\n",
    ")\n",
    "\n",
    "# Define the SiO2 box and substrate\n",
    "box = td.Structure(\n",
    "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -h_box), rmax=(inf_eff, inf_eff, 0)),\n",
    "    medium=SiO2,\n",
    ")\n",
    "\n",
    "substrate = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, -h_box)\n",
    "    ),\n",
    "    medium=Si,\n",
    ")\n",
    "\n",
    "# Define the mode monitors\n",
    "mode_spec = td.ModeSpec(num_modes=1, target_neff=2)\n",
    "mode_monitor_left = td.ModeMonitor(\n",
    "    center=(-r - lda0 / 2, 0, h_wg / 2),\n",
    "    size=(0, 4 * w_wg, 5 * h_wg),\n",
    "    freqs=[freq0],\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode_left\",\n",
    ")\n",
    "\n",
    "mode_monitor_right = td.ModeMonitor(\n",
    "    center=(r + lda0 / 2, 0, h_wg / 2),\n",
    "    size=(0, 4 * w_wg, 5 * h_wg),\n",
    "    freqs=[freq0],\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode_right\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "848c8f5f",
   "metadata": {},
   "source": [
    "The design region is circularly discretized into subwavelength pixels. We aim to have a radial pixel size of 120 nm and the azimuthal pixel size of 180 nm. Here we calculate the total number of pixels in the design region."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5fc8eb21-8c6c-410b-af19-ed551c117f0e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The total numbre of pixels is 435.\n"
     ]
    }
   ],
   "source": [
    "radial_pixel_size = 0.12\n",
    "azimutal_pixel_size = 0.18\n",
    "n_ring = int(round(r / radial_pixel_size))  # Number of rings\n",
    "\n",
    "n_pixel = 2  # Number of pixels in the first ring\n",
    "\n",
    "for i in range(n_ring):\n",
    "    r_in = i * radial_pixel_size\n",
    "    n_pixel += int(2 * np.pi * r_in / azimutal_pixel_size)\n",
    "\n",
    "print(f\"The total numbre of pixels is {n_pixel}.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "254e9960",
   "metadata": {},
   "source": [
    "Next we create a function to generate the geometry of the pixels in a single ring. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4b4a4373-5fea-4e1a-8677-afb0ca776c1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_pixelated_ring(r_in: float, pixel_map: list, points_per_pixel: int = 20) -> td.Structure:\n",
    "    \"\"\"\n",
    "    Generates a list of Tidy3D Structures representing an azimuthally pixelated ring.\n",
    "\n",
    "    Parameters:\n",
    "        r_in (float): Inner radius.\n",
    "        pixel_map (list): List of 1s (material) and 0s (no material).\n",
    "        points_per_pixel (int): Resolution of the arc for each pixel. Higher = smoother.\n",
    "\n",
    "    Returns:\n",
    "        geo (td.GeometryGroup): Geometry of the pixelated ring.\n",
    "    \"\"\"\n",
    "\n",
    "    N = len(pixel_map)\n",
    "    d_theta = 2 * np.pi / N\n",
    "    r_out = r_in + radial_pixel_size\n",
    "    geo = 0\n",
    "    for i, active in enumerate(pixel_map):\n",
    "        if not active:\n",
    "            continue\n",
    "\n",
    "        # Determine angles for this pixel\n",
    "        theta_start = i * d_theta\n",
    "        theta_end = (i + 1) * d_theta\n",
    "\n",
    "        # Generate angular points for smoothness\n",
    "        # We start at theta_start and end at theta_end\n",
    "        thetas = np.linspace(theta_start, theta_end, points_per_pixel)\n",
    "\n",
    "        # Generate vertices\n",
    "        # Outer arc (Counter-Clockwise)\n",
    "        x_outer = r_out * np.cos(thetas)\n",
    "        y_outer = r_out * np.sin(thetas)\n",
    "\n",
    "        # Inner arc (Clockwise to close the polygon loop)\n",
    "        x_inner = r_in * np.cos(np.flip(thetas))\n",
    "        y_inner = r_in * np.sin(np.flip(thetas))\n",
    "\n",
    "        # Combine into a list of (x,y) tuples\n",
    "        vertices_outer = np.column_stack((x_outer, y_outer))\n",
    "        vertices_inner = np.column_stack((x_inner, y_inner))\n",
    "        vertices = np.vstack((vertices_outer, vertices_inner))\n",
    "\n",
    "        geo += td.PolySlab(vertices=vertices.tolist(), axis=2, slab_bounds=(0, h_wg))\n",
    "\n",
    "    return geo\n",
    "\n",
    "\n",
    "# Create a random pixelated ring to test the function\n",
    "geo = create_pixelated_ring(\n",
    "    r_in=1,\n",
    "    pixel_map=np.random.choice([0, 1], size=40),\n",
    ")\n",
    "\n",
    "geo.plot(z=h_wg / 2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "241ea85b",
   "metadata": {},
   "source": [
    "Then we create a function to generate the geometry of the entire design region."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2e5a45e9-10bb-4743-ae3f-dc364e1979ac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_design_region(design_params: np.ndarray):\n",
    "    \"\"\"\n",
    "    Creates the geometry of the design region composed of concentric pixelated rings.\n",
    "\n",
    "    Parameters:\n",
    "    design_params (np.ndarray): A flat array of binary values (0 or 1) representing the state of each pixel\n",
    "                                across all rings. The array is consumed sequentially ring by ring.\n",
    "\n",
    "    Returns:\n",
    "    geo (td.GeometryGroup): The geometry object representing the full design region.\n",
    "    \"\"\"\n",
    "\n",
    "    current_index = 0\n",
    "    geo = 0\n",
    "    # Iterate through each ring layer\n",
    "    for i in range(n_ring):\n",
    "        # Calculate the inner radius of the current ring\n",
    "        r_in = i * radial_pixel_size\n",
    "\n",
    "        # Determine the number of azimuthal pixels for the current ring based on its circumference\n",
    "        if r_in != 0:\n",
    "            n_ring_pixel = int(2 * np.pi * r_in / azimutal_pixel_size)\n",
    "        else:\n",
    "            # Handle the center point (radius 0) with 2 pixels\n",
    "            n_ring_pixel = 2\n",
    "\n",
    "        # Extract the subset of design parameters corresponding to the current ring\n",
    "        pixel_map = design_params[current_index : current_index + n_ring_pixel]\n",
    "        current_index += n_ring_pixel\n",
    "\n",
    "        # Create the geometry for the current ring and add it to the total geometry\n",
    "        geo += create_pixelated_ring(r_in=r_in, pixel_map=pixel_map)\n",
    "\n",
    "    return geo\n",
    "\n",
    "\n",
    "# Create a random design region to test the function\n",
    "design_params = np.random.choice([0, 1], size=n_pixel)\n",
    "geo = create_design_region(design_params)\n",
    "\n",
    "geo.plot(z=h_wg / 2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f6dac6f",
   "metadata": {},
   "source": [
    "We create a function to generate two simulations, one with right circular polarization source and one with left circular polarization source, given the design parameters as a 1D array of 0s and 1s. The function will return two simulation objects, one for each polarization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "57c15ae6-941c-4fb5-a7bb-10e9dd32a5e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_sims(design_params: np.ndarray):\n",
    "    \"\"\"\n",
    "    Creates two Tidy3D simulations.\n",
    "    One simulation corresponds to right circularly polarized (RCP) light,\n",
    "    and the other to left circularly polarized (LCP) light.\n",
    "    \"\"\"\n",
    "\n",
    "    # Create the design region structure\n",
    "    design_region = td.Structure(geometry=create_design_region(design_params), medium=SiN)\n",
    "\n",
    "    # Define the X-polarized component of the Gaussian beam source\n",
    "    gaussian_beam_x = td.GaussianBeam(\n",
    "        center=(0, 0, h_wg + lda0 / 5),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "        direction=\"-\",\n",
    "        waist_radius=r,\n",
    "    )\n",
    "\n",
    "    # Define the Y-polarized component for Right Circular Polarization (RCP)\n",
    "    gaussian_beam_y_right = td.GaussianBeam(\n",
    "        center=(0, 0, h_wg + lda0 / 5),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth, phase=np.pi / 2),\n",
    "        direction=\"-\",\n",
    "        waist_radius=r,\n",
    "        pol_angle=np.pi / 2,\n",
    "    )\n",
    "\n",
    "    # Define the Y-polarized component for Left Circular Polarization (LCP)\n",
    "    gaussian_beam_y_left = gaussian_beam_y_right.updated_copy(\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth, phase=-np.pi / 2)\n",
    "    )\n",
    "\n",
    "    # Define the simulation domain box\n",
    "    sim_box = td.Box.from_bounds(\n",
    "        rmin=(-r - lda0, -r - lda0, -h_box - lda0 / 2),\n",
    "        rmax=(r + lda0, r + lda0, h_wg + lda0),\n",
    "    )\n",
    "\n",
    "    # Create the simulation object for the RCP case\n",
    "    sim_right = td.Simulation(\n",
    "        center=sim_box.center,\n",
    "        size=sim_box.size,\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=12),\n",
    "        run_time=2e-13,\n",
    "        structures=[design_region, waveguide_left, waveguide_right, box, substrate],\n",
    "        sources=[gaussian_beam_x, gaussian_beam_y_right],\n",
    "        monitors=[mode_monitor_left, mode_monitor_right],\n",
    "    )\n",
    "\n",
    "    # Create the simulation object for the LCP case\n",
    "    sim_left = sim_right.updated_copy(sources=[gaussian_beam_x, gaussian_beam_y_left])\n",
    "\n",
    "    return sim_right, sim_left"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0628ec77",
   "metadata": {},
   "source": [
    "Create a test simulation and visualize the setup."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0d6a1869-0325-4fb4-8f29-9794facaa016",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" 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\" ></div>\n",
       "    <script>\n",
       "        \n",
       "        /**\n",
       "        * Simulation Viewer Injector\n",
       "        *\n",
       "        * Monitors the document for elements being added in the form:\n",
       "        *\n",
       "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
       "        *\n",
       "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
       "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
       "        * configuration of the first started script (e.g. viewer URL) applying.\n",
       "        *\n",
       "        */\n",
       "        (function() {\n",
       "            const TARGET_CLASS = \"simulation-viewer\";\n",
       "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
       "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
       "\n",
       "            class SimulationViewerInjector {\n",
       "                constructor() {\n",
       "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
       "                        this.injectViewer(node);\n",
       "                    }\n",
       "\n",
       "                    // Monitor for newly added nodes to the DOM\n",
       "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
       "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
       "                }\n",
       "\n",
       "                onMutations(mutations) {\n",
       "                    for (var mutation of mutations) {\n",
       "                        if (mutation.type === 'childList') {\n",
       "                            /**\n",
       "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
       "                            * It may be the case that setting content with innerHTML does not trigger.\n",
       "                            *\n",
       "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
       "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
       "                            */\n",
       "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
       "                            for (var node of viewers) {\n",
       "                                this.injectViewer(node);\n",
       "                            }\n",
       "                        }\n",
       "                    }\n",
       "                }\n",
       "\n",
       "                injectViewer(node) {\n",
       "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
       "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
       "                        // Mark node as injected, to prevent re-runs\n",
       "                        node.classList.add(ACTIVE_CLASS);\n",
       "\n",
       "                        var uuid;\n",
       "                        if (window.crypto && window.crypto.randomUUID) {\n",
       "                            uuid = window.crypto.randomUUID();\n",
       "                        } else {\n",
       "                            uuid = \"\" + Math.random();\n",
       "                        }\n",
       "\n",
       "                        var frame = document.createElement(\"iframe\");\n",
       "                        frame.width = node.dataset.width || 800;\n",
       "                        frame.height = node.dataset.height || 800;\n",
       "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
       "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
       "\n",
       "                        var postMessageToViewer;\n",
       "                        postMessageToViewer = event => {\n",
       "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
       "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
       "\n",
       "                                // Run once only\n",
       "                                window.removeEventListener('message', postMessageToViewer);\n",
       "                            }\n",
       "                        };\n",
       "                        window.addEventListener(\n",
       "                            'message',\n",
       "                            postMessageToViewer,\n",
       "                            false\n",
       "                        );\n",
       "\n",
       "                        node.appendChild(frame);\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "\n",
       "            if (!window.simulationViewerInjector) {\n",
       "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
       "            }\n",
       "        })();\n",
       "    \n",
       "    </script>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim, _ = make_sims(design_params)\n",
    "\n",
    "sim.plot_3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bb60183",
   "metadata": {},
   "source": [
    "Plot the grid to ensure the grid is sufficiently fine to properly resolve the subwavelength pixel structures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a96d7476-5f60-4172-bbd4-e1ca54774d82",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HeBibt/nj9YHc1cIzKnkKPwCAFuTm5qoy3gvaJT34Opcu8LgI76ozduxYsabPuW2fKzxln5e0OB/OrficeHIBrx/ldX+88J7XJ/IxZXX9AAAAtCd9tjO3dHmdHm9UzniDAt6yj1Ov8X67nfG3RV7j19VGBXw5vK7y//2//yd212G8MQCnbuOyvGAeAADAtBOueCcd3nmFF8I78Q4y3E3sLiF2XV2d2BSBA/XZZ58tNntwJr3mxfS8X2z7xfu8LywHeT6mq+DLOwi130WIj8u7H/GCdGxEDgBgHg6HQ2z9yY24nuxopqvgy+mteLegzgnF+eeuUpnxXrqrV68WO8twi5YTh/MuPbxTDe9849yo3dUxu9rEnXcf4p2WAAAAGKdm5JjiLbpbasR7k7bfn5QDL29ryNux8dZ+vcEtbx53duKgzssD+OZ33hLOHV7E7txkv6d6W1Yv5WScE9eofDkz1JVbPv/6Zgd9vj+HAqM7fonvTk3p6cxKkYkpLn8/JCmKjpdYelyuL+fUezm1z9nc2EDv/t9NYqtPb5IafDm9Fe/D2jmTB/+cnJzs8Tq28ePHU3Z2tvjZWY6PwbOd2x+zq2wnvAevq+TcHHh7Enydf6yelOlrWb2Uk3FOXKPy5cxS13My02nk4FTaXtJKe0+WeVwuIPj0RhaBIWFn/K5/XATlV9S6/J27cn05pxHKyTqnt4ccpc525qw2vFn7hg0bOoy38s+eZt/gbuv9+/e3BVpOvs4BuP0xedNynvWMjB4A4KmI4EC64+LRdOsFmRQc0Lt8yU7hQQFUWdeoWN1A/6R3O3N3L2dU4cwwkydPFvuQcpo2zubC5s2bJ9KEObPCcCaac845R2SE4RnPnNmElxpxvk3ntxWeDc1ZSzIyMkQwfuihh8TgOad9AwDwFH+eTBmaQhnJMfT2pkN0tOh0UvqeigkPovyKOsXrB/olPfjOmTNHpB7jTTF4QhR3Da9fv75twhRvjdZ+xllVVRUtXLhQvJZToXHLecuWLZSZmdn2Gk5jxgGc09xxgOb0cHzMzptxAAB4IjY8mH59+XjaeOgUrd2ZTS22jjmb3clIiqasku5zOIO5SA++jPO18sOVjRs3dvj52WefFY/uvq1yC5kfAABK8PXxoYtH9qcRabH05jcHKa+ittsyyVGhlI3AC1rc4QoAQE9SosNo8TUT6fKx6eRuSk6gvy9ZW20i+S9AZwi+AAA95OfrS7MmDKHfXnk2xYSduVKC9YuNoKr6/23eA9Aegi8AQC/xRKwHZk+hCYMSOzw/ODGKTpSeuZ4XwAnBFwCgD8KCAuj2C0fRvGmZFOjvR5GhgXTKg/FgMDdNTLjSKt4dpye7nHTOrtQTvS2rl3IyzolrVL6cjHPqpa4JPkRXD4umTUcLqKywuUdlays6bjSkRlm9lFP7nC1N6qzHRssXAEAhMeHBdOW4QXTusFTZVQGNQ8vXDd4Ptjdb2vEGIL3V27J6KSfjnLhG5cvJOKee6jpz6FCanl9Ob317iOqtLR6Xi0pK69X5+lJWL+XUOmdzYz2pAS1fAAAvGN0/nh6YPZkykqNlVwU0CMEXAMBLYsKC6TeXjxdd0cgMDu0h+AIAeHlN8DVnDxbbU0YEB8iuDmgEgi8AgAqGp8bSH2ZNFjl9ARB8AQBUEh0WTL+94myaMWqA7KqAZAi+AAAqd0NfPzmD7rxkTJ/zBIN+IfgCAEgwbmCC6IbuFxsuuyogAYIvAIAkCZGh9H9XT6QxAxJkVwVUhk02AAAk4v2gr588VLSAtxa3kN2BJIRmgJYvAIBkPj4+dE5GCi26YjxFhgTKrg6oAMEXAEBDKQqXXDuJBiX0fFtb0BcEXwAArS1HunICnY/kDIaGMV83kFJQuXIyzolrVL6cjHOaoa6uyk1O8ieqDaTP9uW6HQfWS2pApBTsCC1fAACNjgNPyUihudNGUEgg1gMbDVq+biCloPLlZJwT16h8ORnnNENdXZXjp84ePZJe+WofFVXX6z41IFIKnoaWLwCAxiVEhtDia3g9cLzsqoBCEHwBAHQgOMBfbEk5c8xA2VUBBSD4AgDohK+PD82eOJTmTcskP19kCNYzBF8AAJ2ZmpFCv7l8PIUFYdqOXiH4AgDodEOOxddMorjwENlVgV5A8AUA0KnEyFBaeMkoGpQYJbsq0EMIvgAAOhYaGEDzpo0QXdGgHwi+AAA65+frS3PPH0HXnD1YdlXAQwi+AAAG2RHrynGDxExonhUN2obgCwBgINz9fO9l4yg4AFtSahmCLwCAwYxIi6X/d9UEig4Nkl0V6AIWibmBrEbKlZNxTlyj8uVknNMMdfXWNf40M4be2XyISi1nZupBViPXkNUIAAD6JCo0iG67cBQNiPe8EQHqQMvXDWQ1Ur6cjHPiGpUvJ+OcZqirt65x+LBh9PrGA/RDXvkZv0NWo46Q1QgAABQR6O9Hd1w8ms4bliq7KvAjBF8AAJOsBb7lvOF0xdh02VUBBF8AAHOtBb52whCac84w2VUxPQRfAACTuTCzP/1k8lBsxiERJlwBAJjQuIGJFOTvR1/k1FOr3SG7OqaDli8AgEmNSIujey4bJ4IwqAvBFwDAxIanxtJvLh9PoYHoCFUTgi8AgMlxPuD7rppAkSGBsqtiGgi+AABAaTHhdN+V2A9aLQi+AAAgJEWFigAcFx4suyqGh+ALAABtEiJDRADmf8F7MMLuBrIaKVdOxjlxjcqXk3FOM9RVi9c4+6xoevObAiqv7ZjlB1mNlIGWLwAAnIEnXy24cKToigbloeXrBrIaKV9OxjlxjcqXk3FOM9RVi9eYMXQoPb9+D52qrOvwPLIa9Q1avgAA0KXw4ECxDrhfbLjsqhgKgi8AAHQbgO+eMQZd0ApC8AUAALdaWm307ndHqKbBSnHhmAWtBIz5AgCA28C7asMPdKigUvxsbW6m+PAQapFdMZ1DyxcAADwKvKyp2Ub1zc2UiHXAfYLgCwAAHgVep8ZmGzU0t2InrD5A8AUAAI8Dr1NdUws1t9opNgx7QfcGgi8AAPQo8DrVNjVTq91BUaHIhtRTCL4AJrR+Xy5lFVXJrgboOPA61TQ2i38jkI6wRzDbGcBkjhVV0ZZjheJx0hpEN0zJoLgITJ4xu94EXidLQ7MY/w0PCqA6K+ZBewLBF8BE7HYH/e37Y20/78sro0MFFTRzzEC6bPRACvD3k1o/0F/gdaqoaxIzoFvtdmpqsSlaPyNC8HUDWY2UKyfjnLjGM+04XkSHjuScke3lvcJ8+nTzTrpi7EAanhqnibr2tZyMc+rxGjnwfrD1CGUXW/qcKchSQpQYFUINdVZqsdk9LtcdZDUCAN1qaG6hrw7kd/n7qromev+7o/Tu5kNU0SmNHBhTTwOvJ0otjRQfGUK+vj6KHdOI0PJ1A1mNlC8n45y4xtM+2naMAmOSKLCbbC8ldqJ395XRZWPS6fKx6RTg56uba9TKOfVwjc7AW+YIp6ikcEUzBTUQ0egRA+hkRQ05HJ6X6w6yGgGArhRX19PGQ6c8fj0vH/l0bw49sXYbZRVjVrTReKPF21lueQ0NTojy2vH1DsEXwAQ+3p5F9s5NEA+UWBpo5ae76b3Nh6kes1gNNbnKm4HX6XiphYYmRXv9PHqkieD70ksvUXp6OgUHB9OUKVNo+/btHpX78MMPycfHh2bPnt3heYfDQQ8//DClpKRQSEgIzZgxg7KysrxUewBtO5BfTgdPVfTpGJuPFdKjn3xPu06UiP++wLyzmnsqu6SaMpIRgDUXfNesWUP33XcfLV26lHbv3k1jx46lmTNnUmlpqdtyubm59Lvf/Y6mTZt2xu9WrFhBL7zwAq1atYq2bdtGYWFh4phNTU1evBIA7Wm12emjbcp88eTNFF7beIDe++4IVddbFTkmGDvwOmUVV9OAOM9XjpiB9OC7cuVKWrhwIS1YsIAyMzNFwAwNDaXVq1d3WcZms9Ett9xCy5Yto8GDB3f4HX8rf+655+jBBx+kWbNm0ZgxY+jtt9+mwsJCWrt2rQpXBKAdGw+fotIanv6i7CYdf/5iL/33YJ5YNwzaJzPwOuVX1FJqTJi082uN1ODb3NxMu3btEt3CbRXy9RU/b926tctyjz76KCUmJtLtt99+xu9ycnKouLi4wzGjoqJEd3ZXx7RarVRTU9PhAaB33FLlSVPe0NxqEy3qlZ/uolKLssEdjBd4GX9N4y+CKdEIwNKDb3l5uWjFJiUldXief+YA6srmzZvp9ddfp1dffdXl753lenLM5cuXiwDtfPTv37+XVwSgHf/afZwam1u9PqHm8bXb6OtD+b2a0AXmCLxOrTYHWRqsFB+BVITSu517ora2lubOnSsCb3x8vGLHXbJkCVkslrZHfn7XGxEA6AF38X13tFCVc/FORrxl5fOf7aZybM6hGVoLvE6cB7jF5qCI4AAyM6mbbHAA9fPzo5KSjluA8c/Jyckut3vkiVbXXHNN23N2++ktzPz9/eno0aNt5fgYPNu5/THHjRvnsh5BQUHiAWAEPO+BN9RQux16rLiaHv/HNvrJ5KE07aw0sRIB5NBq4HWyNFgpISKErK02kRPYjKS2fAMDA2nChAm0YcOGDsGUf546deoZrx8+fDjt37+f9u7d2/a49tpr6aKLLhL/n7uLBw0aJAJw+2PyGC7PenZ1TACj2Z1bKmaXysAfph9sOUovfL6XKuuwukAGrQdep7LaRkqKCiWzfkeTvr0kLzOaP38+TZw4kSZPnixmKtfX14vZz2zevHmUlpYmxmV5HfCoUaM6lI+OPr1+rP3zixYtoscff5wyMjJEMH7ooYcoNTX1jPXAAEbDE6E+2ZEtuxp0pLCSHvvH9/Szc4bROUNT0ApWiV4Cr1N+RR0NTYqi7BLvb/ihNdKD75w5c6isrExsisETorhreP369W0TpvLy8sQM6J5YvHixCOB33HEHVVdX0/nnny+OycEbwMi+OpCnmRYnp5V7e9NhOpBfQTefN1x2dQxPb4HXiQPvsOQYOmaybUylB1927733iocrGzdudFv2zTffPOM5/pbNy5H40RdIKahcORnnNNs18jjami/3UIsHY2hqpnf7uqSAdu0/SOekBFP/Xmy0oNe/hxrlnGU58L696WCPtoxUM01fd+V2lBSITTjyKmpVO2dXkFIQAHrky/15HgVeGWoamumT7Vm0+WgB2X6cJAnK4MD77z0nVNmr2ZtOVdWJXMBmoYmWr1YhpaDy5WSc0wzX6BMRTyetJ3ucck3t9G5HLUT/OFJNt00fRYlRoYb9e6hVztnirXSEqpJuz9vl/IP8KT3Oj6q62L4UKQUBQDPsPy4t0ouT5bX05LrttOVYIZI06CQ7kVrqra3EU/OCA/zI6BB8AXRu38kyEdD0hJckvbP5ML329QGv78JlRHqdXOWJynreASuEfA0+Qx7BF0DHrC2t9OX+3k/W0cKa5OXrtosducAzRg68Tqcq62hwYs+H/PQEwRdAx749UkB1TfpOcs+bLaz4907adOQUuqG7YYbA23kJklEh+ALoVFlNgxg3NUre4fe3HKU3vjlITS3ohjZ74HXKKq4ybB5gBF8Anfr79myyGSyf7o4TJfTHf+6ggqo62VXRFDMGXub48UtmVKjx9t5H8AXQId6+cV9eGRlRsaVBBOCtWcZo1feVWQOvU2OLTez/HOhvrBnQWOcLoDO8SYWelhb1Nk0hb03JCSImJvgZ7oPXU2YPvE7V9VZKiQkl3nvKKH09aPkC6Mzmo4VUWKXORgCybc0qotXfHBAfvmaDwNtRUVUDDUk+nUjHCBB8AXSk3tpC/9p9nMyksLKeVm3YR8eKzLPxPgKva9nF1TQkMYqMAMEXQEd4D1/eBchsGqyt9Pz6PbTxUL7hlyMh8LqXV1FDiZE925pUizDm6wayGilXTsY5jXaNpZZ6+tfGH8R2krIy08g4Z/tyf113inbsS6Crxw+mAA/GgfXy3nGW48D7wdYjus1O5I1yrsq2hAaKXdKamm3kDrIaAUCfcGvvs325HQKvWe3JLaPXDTgO3JvAa1aWhmaKDQ8W+0DrFVq+biCrkfLlZJzTCNf4Q14ZlVM4RSWFayIzjYxzti/H083+drCCFl48mjI82AVJ6+8dZ+Atc3T9N9ZTdiJvlHP1HpgwNl3MiO8OshoBQK+W3Xy8PUt2NTSntqlFjAPrfZcvtHh7jwNverw+94BG8AXQuK8P5VNZjTrjUHrDO3xxdqR/7MjWZZe8EdMCqq2wqo7iwoNJbxB8ATSsptFKn+3NkV0Nzfti/0l69b/7ydrifgKOlmBWszKabXby9fWhAD99hTN91RbAZNbtOkFNOgooMu09WUZ/+nQXVTdofyIWAq+yuGdIbwkYEHwBNOpkeQ1t1fl4pto4LzDvC63l/MAIvN5xvNRCQ5P0swMWgi+ARpcWffT9McPsY6smbvk+85+dtO+k9hJPIPB6V06ZhZKi+rYBh1rd1wi+ABq0M6dEfJOH3mlutdNfNvxA32mo5wCBV50JeC2tNgoO6F0iDt45KzwokNSA4AugMc2tNjF7F/qGew0+35dLn+2VvzkJAq96KuutlBwd1uNyQ5OjqaK2gaoamkgNCL4AGpy5W2Ww3Ztk4rzAb3xzUKyXlgGBV325ZTU0NMmzBAxhQf5ishYnbbCp+B0NwRdAQyrrmuiLH3q/tzS4tvNECb30xV5qbFY3KQUCrzzHSywUHx7i9jX9YsPJx8eH8iRM0EPwBdAQ7m6W1UIzuqNFVbTy011kUWkpEgKvXA4ewrHbKNBFAg5fHx/KSIqmU5V1VNfUIqV+2NvZDWQ1Uq6cjHPq7RpPVdbShuwa3WWY0Wo5V2UtJURL8nJp7rQRlBARqpnsRGb4e8i6xpToMLKU/G+tfGRoIPn5+dHOH065LIOsRgAmwhOCvjns+sMAlMXZkF777wGvdTVir2ZtKaqupwE/7v/M3cxNza1UXit/u1a0fN1AViPly8k4px6ucXdOCTUFROo2w4yWy3VVdu2RarrzkgE0sl+cZrITmeHvIeMaGwOj6JyzB9LhgkoKiYsidyPByGoEYBI8CejL/ZhkpTYeW3/lq320O7dUmeOhxavp/Z8r65rIz1c7GYARfAEk+2xfDtVb1Z2FC//blOG1r/fT91lFfToOshNpX4mlgQYleLb8SA0IvgASlVoa6L8H82VXw9R4/423Nh2ijYd693fArGb9yC6ppv5xPR8O8AYEXwCJPt6eJVpfIN+a74+JHbF6AoFXfyrrmsTGGrLJrwGASR0qqKD9+eWyqwHtrN11nBpbWmlklENsvuAOAq8+1VtbaWB8BNVb5Wa+QssXQAKb3U4fb8uSXQ1w4fMfTtKne3Pc7geNwKtvJ8trKSNZbvpBBF8ACb49UiDWH4I2bcsupn/uzHYZgBF4jeFkWQ3FhQdLOz+CL4DK6pqa6V+7T8iuBnRjd24Zvbv5cIcAjMBrrOVHQQF+1M3ogtcg+AKojAOv2hv8Q+9szSpqC8AIvMZTWFVPQ5PkdD9jwhWAigoq62jT0QLZ1YAeBmCHw0G1TS0IvAaUXVxNSVGhYh2wmtDyBVAJf4B/tO2YWFcK+vJ9djFZW1pJO/sjgVL4P8dWm538Vd79Ci1fN5DVSLlyMs6ptWvkpUXb9x41dYYZNcspfc5dJQU0ID6C8strxQe2t8/n7bJ6KafGOTnbVXp8JOWW1yCrEYCR8HghL2EBfcsrr6V+cZ5/IQf9yC2voeTortNMKg0tXzeQ1Uj5cma9Rt45yR4WR1Fh7suZIcOM3uvKGZfHje5POaUWw16jFsupcc6Q8CCK81Fn+RFavgBeZmmw0mc93LYQtI0Db4akWbLgPZV1VjG0oAYEXwAvW7frOFlbbbKrAQrLKqmms1JiZFcDFHa8RJ3MVAi+AF6UW1YjlqqAMR0tqqJhCMDQCwi+AF5cWvS3713PbgbjOFZUJX2fYNAfBF8AL9lxooRyynh6DhhdVnE1DUnUTqJ20D4EXwAvsLbY6B87smVXA1R0otRCabHaSNQO2ofgC+AFX+zPpeoGq+xqgIp4442iqjpKUXGtKOgXgi+AwqrqmujL/XmyqwES2B1E5bVNYq9gAHcQfAEU9sX+k9Ris8uuBkjCf3tOGxkbFiS7KqBhCL4ACm++cPBUhexqgGT11tMpI8ODAmRXBTQKwRdAIXa7gz7blyO7GqARlfVWCg8JoCB/P9lVAQ1C8AVQyJasQiquVjcnKGgbvx94/NdP5XR1oH1IrOAGUgoqV07GOdUs19jcQm+u36ObNG1aTu+mVDkZ53RVbn8Jif2COSOS0ufrS1m9lFP7nEgpCKAjGw8VUMOP43wAnXHgHRjf8wxpYFxo+bqBlILKl5NxTm+XK7bU05HavA5py/SSpk3L6d2UKifjnK7KVXMqwlH9KKdM+VSEfSmrl3JqnbO5sZ7UgJYvQB/9fVsW2R28xQKAe7llFuqPXbAAwRegbw7kl9MBLC0CD/FXtNKaBkqICJFdFZAMwRegD5Kiwmh0/3jZ1QAdsbbaxUYcEcFYA2xmCL4AfZAQGUJ3XzpWPNCaAU/xvt+RIYEU4IePYLPCXx5AAdz6fei6KXTJyP7kjw9U8EBBVT0NiPN8KSMYCz4lABQS4O9H0zP7069njqfx6QmyqwM6cLzUQhnJ0bKrARIg+AIoLDosiO64eAzdc+lYig0Lll0d0Lis4mrkATYhTQTfl156idLT0yk4OJimTJlC27dv7/K1n3zyCU2cOJGio6MpLCyMxo0bR++8806H1zgcDnr44YcpJSWFQkJCaMaMGZSVlaXClQD8zyjuiv7J6a5oH+wuCG4UVddTPOYMmIr04LtmzRq67777aOnSpbR7924aO3YszZw5k0pLS12+PjY2lh544AHaunUr/fDDD7RgwQLx+Pzzz9tes2LFCnrhhRdo1apVtG3bNhGk+ZhNTU0qXhkAUXCAP/10yjC6/5pJ1A+tG3CTlMPa0krhmAFtGtKD78qVK2nhwoUigGZmZoqAGRoaSqtXr3b5+gsvvJCuu+46GjFihNiB6je/+Q2NGTOGNm/e3Nbqfe655+jBBx+kWbNmid+9/fbbVFhYSGvXrlX56gBO460Ff3/tJLpu0lDMcAWXaptaKDo0CEkYTELqp0BzczPt2rVLdAu3VcjXV/zMLdvucKDdsGEDHT16lC644ALxXE5ODhUXF3c4ZlRUlOjO7uqYVquVampqOjwAlObn60uXjR5ID143hYYkRcmuDmjQqco6GpyI94YZSN3buby8nGw2GyUlJXV4nn8+cuRIl+UsFgulpaWJoOnn50cvv/wyXXrppeJ3HHidx+h8TOfvOlu+fDktW7bsjOeR1Ui5cjLOqeVrvDYjir73baCv9udRq82ODDNeKCfjnEqU21lSQAPjI+ikmyxISp9Ty+UYshppBAfEvXv30o4dO+iJJ54QY8YbN27s9fGWLFkiArrzkZ+fr2h9ATrz9fWhczNS6a5Lx2AsGM6QX1knNnAB45La8o2Pjxct15KSjt9O+Ofk5OQuy3HXtDPjDM92Pnz4sGi98niwsxwfg2c7tz8mv9aVoKAg8egMWY2ULyfjnFq+Rn7VlLGj6a1Pv6X/Hsyj8ITUXp3PqBlmlCgn45xKlAsJCaS0aAfVWVtUO6eWyzFkNVJIYGAgTZgwQYzbOtntdvHz1KlTPT4Ol+EuaDZo0CARgNsfk8dwedZzT44JoGYreNrwNPrlDLSC4X8sjc0UFRZEvlinZkjS8/lyl/H8+fPF2t3JkyeLmcr19fVi9jObN2+eGN/lli3jf/m13CrlgPvpp5+Kdb6vvPKK+L2Pjw8tWrSIHn/8ccrIyBDB+KGHHqLU1FSaPXu21GsF6C5Jw+Jxo2ndzmzacBBDH0BUUFlHQ5OiKbuEswGDkUgPvnPmzKGysjKxKQZPiOKu4fXr17dNmMrLyxPdzE4cmO+++246deqU2EBj+PDh9O6774rjOC1evFi87o477qDq6mo6//zzxTF5Ew8ALeNlSLwuOLNfHL317SGqaWyWXSWQjANvekIk5ZZhFYaRSA++7N577xUPVzpPpOIWLT/c4dbvo48+Kh4AepSZFkcPzp5C72w+TPvzy2VXByQrrq6nmLAgqqo/PbwG+qfL2c4AZhAREkh3zRhDN049CxtzmFxTi40C/f3IHxtwGAb+iwbQMO7FmT6iHy2+eiIlYumJqZVYGmgQNuAwDARfAB3oFxdBv792Mp2dnii7KiA5AxJ2RzMGBF8AnQgJ9KdfXDSK5pwzDN2PJpZfXktx4Zg8qncIvgA664a+MLM//e7qifgANqlmm12s/UUCBn1D8AXQaZakP8yaTMNSomVXBSQoq20U7wHQLwRfAJ0KDQqgm88bQdMze79dH+jXiVKLSMAA+qSJdb5ahaxGypWTcU4zXGN+Xh4NDSdKiQqnT3ZkU3OrzVAZZvpSTsY51S53rMqPbLUV1NDcqto5jf53bEFWIwDwFO+IdcfFozAObDJNzTYKCw4gjP7qD1q+biCrkfLlZJzTLNfIJceNyqQ3vjlIB05VGCLDjBLlZJxTzXKWEqIxI/pThU+4Ya/RiFmNehx8c3JyaNOmTaKbrKGhgRISEmj8+PEiYxD2TgaQPw5816Vjad3O4/TF/t53n4O+5JZZKCMjkYotDbKrAkoH3/fee4+ef/552rlzp0h6wFmCOLFBZWWlGBvlwHvLLbfQ/fffTwMHDvT0sACgMF6Gct2koZQYFUrvf3eE7A6H7CqBl9kdRK02u9iGtMVml10d8IBHwZdbtpx799Zbb6W///3v1L9//w6/59R+W7dupQ8//FCk+3v55Zfphhtu8OTQAOAl5w1LpfiIYPrrhv29mpAD+lJe1yR2vzpeYpFdFVBqwtVTTz0lktFzKr/OgZcFBQXRhRdeSKtWraIjR47Q4MGDPTksAHjZWSmxtPiaSZSAfaFNgQNv/7jejf2CBoPvzJkzPT5gXFwcTZgwoS91AgAFJUWF0uKrJ1FGMjbkMANOOxgaiLm0Wtfrv1Bpaal42O0dxxfGjBmjRL0AQEHhwQH065nj6a1Nh2jnid6vtwTtq2tqocGJUWITDjBQ8N21axfNnz+fDh8+TI4fJ3LwfrP8//lfm82zRf4AoC5/P19aMH0kRYcG0d9LCmRXB7yIA++QxCg6jgBsnOB722230bBhw+j1118Xs5454AKAfmZCXz85g+rKi+jzfbmyqwNeVGypp/CgAKqztsiuCigRfE+cOCFmPPdlAwIAkD8TOiIogP6b30g2XqcChlNvbaVBCZFUV4bgq0U93l7ykksuoX379nmnNgCgmjEDE+jey8ZRcICf7KqAl+SU1YjxXzBAy/e1114TY74HDhygUaNGUUBAQIffX3vttUrWDwC8aHhqLN135QR64fM9YqIOGE9xdZ2YcIe/r86DL2+m8d1339Fnn312xu+MNuEKWY2UKyfjnLhGz8tdNzya3vr2ENU2NndbFtlwtFPOk7I85So1NowslfWGvUZTZDX61a9+RT//+c+pqKhILDNq/zBS4AUwk8TIULr9wlEUHRYkuyrgBYWV9dQvFptv6LrlW1FRQb/97W/FTGejQ1Yj5cvJOCeu0fNywzKG0vOf76Hi6u436Ec2HO2U86SsPcifksPiqLHTVqNGukY9ZTXqccv3Jz/5CX399dfeqQ0ASBUdFkz3XTGB+sd5PtwC+pn9nBaD1q9uW768xnfJkiW0efNmGj169BkTrn79618rWT8AUFlESCD99oqz6cXP94jZsmAc2SXV1D82nPIr62RXxfR6Nds5PDycvvnmG/HoPOEKwRdA/0IC/elXM8cjABu0BcypB0FnwTcnJ8c7NQEATUEANqbK+iY6KyWaygtl18TcFPv6w7OfV6xYodThAEBDAZh3SgLjyCquprjwYNnVMLVe7e3c1brB7du30+LFi5WoFwBoBFrAxsM7igb4Yl9+XQXfqqqqDj/z2l7e75mzHL388stK1g0ANBaAeSesfciIZAilNY1iVju+Tukk+P7jH/9w+fwTTzxBa9eupTvvvFOJegGABgMw7wX90KmTHq0DBu0rq2mgmORYaui09hd0NOZ700030caNG5U6HABoUFhQAM2dlknxESGyqwIKaGqxUWpMmOxqmJJiwZczHY0fP16pwwGARkUEB9K8aZkUiwk7hpBdYkEA1kO383333XfGcyUlJbRu3Tq66qqrOvx+5cqVfa8hAGgO7wG96PLx9Kf/7CKLB8kYQNscDt6n4fS/oNHgu2fPHpfPT5o0iUpLS8XDueEGABhXQmQo/fry8bTy011i4wbQr6LqehqWEkPHijpOqAUNBV8z7euMlILKlZNxTlyj8uVclb0mI5Le+OYQNbfaTJ2KTkY5Jc95oKqYuOHb1Gzuv2OLVlMKAgC0lxYbQXPOGUa+6O3StcZmGyVFYuxXUy3fyy+/nB555BE655xz3L6utrZWrPXlvZ/vuece0jukFFS+nIxz4hqVL9e5LP/f6OR+9PamQ6ZNRSeznFLnrOa/ZUYildU0GvYatZJS0KPge8MNN9D1119PUVFRdM0119DEiRMpNTWVgoODxaYbhw4dElmOPv30UzHp6umnn/Z+zQFAU6ZmpJClwUrrdh2XXRXoJV5CFhMW7FHwBRWC7+23304///nP6aOPPqI1a9bQX//6V7JYLG0TqzIzM2nmzJm0Y8cOGjFiRB+rBAB6NXPMQKpusNI3h0/Jrgr0cAMVzvV7vKSaymsbxV7e2EpUIxOugoKCRADmB+Pg29jYSHFxcWfk9AUAc+Iv4z+bMoxqGq20J7dMdnWgGzxMPzQpigqr6kSuXydLo5X8fX2p1W6XWj8j6/WEK+6CTk5ORuAFgA58fX3o1gtGIhOSxiVHh1J0WLDYZKOh0wznyjorDU6KklY3M8BsZwBQXKC/H/1yxhjsgqVBMWFBlB4fIfbnrqpr6vJ1+eU1FBrU49Wo4CEEXwDwisiQILr70rEUHOAnuyrAQ4f+fpSRFE01DVbKLa/t9vWNLTYxDgzegeALAF7DH963XzhKjC2CPEMSoyjA35eySqrJ1oMtJHkCVhx6L7wCwRcAvGpU/3i6Ycow2dUwpZToMEqKCqXjpRaqa2rpcXm7gygiJNArdTO7Hgff+fPn07fffuud2gCAIV2U2Z8mD02WXQ3TiAwJFBPeeM/mEkvfci/nltVQGrIeyQ++vMRoxowZlJGRQU8++SQVFBQoXysAMJwrxqZTOmZAe1WAny9lJEdTg7VF0XW6NqQ7kh98165dKwLuXXfdJTbcSE9PpyuuuII+/vhjamnpebcGAJiDn68v3XDOMDHbFpTHLd3QQH/KKq6mVu4vVhDPjB4Y73mSGeher+aRJyQkiLy9/Ni9eze98cYbNHfuXLGnM2/Ccffdd4uWsd4hq5Fy5WScE9eofDklzjlzUCy9vjGXWm12Q2XDkVGO+TdayNeXaO+Bw149Z0F9MNXUNSGrkRYmXBUVFdGXX34pHn5+fnTllVfS/v37xXaTzz77rFJ1BACDZUG6dsJg2dXQvZBAPxoQF0FVDU1U4Wa9rlL4HP3j0PqV1vLlruV//vOforX7xRdf0JgxY2jRokV08803t2UA+sc//kG33XYb/fa3vyU9Q1Yj5cvJOCeuUflyfT0nP+xh8fT1oXzDZMNRqxynbuSlQ3kVNWRptVNEXJLXz+nkFx5EUfF1ZHc4kNVI7eCbkpJCdrudbrrpJtq+fTuNGzfujNdcdNFFFB0d3de6AYCBXT95KBVU1tKx4v/tKQzu8bhrbWOzWK8rA287OSA+QsyABpWDL3cnc4pBTifYFQ68OTk5fawaABh9AtZtF46iJ9dtp5rGZtnV0TTe6IK3ejzpwc5U3sZZj/z9sEVEX/X4DvLEKneBFwDAU1GhQdgByw3emnNoUjRV1jVRfkUdaQFv1tEvFttO9hW+vgCAVMNSYuia8ZiA1R5/GRmSFCXGdznVn9ZW2RZb6ikQrd8+wd0DAOlmjk2nzLRY2dXQBG5VJoSH0HGR6q+VtKip2Ub947FhSl8g+AKAdNzCWzB9JEWHBpl6S8j0+Eg6VVlHpbXqrDXti6KqOrR++wB3DgA0ITw4kH5x0SgRiM2EAxgH3TprC+WW62cWMbfKsV1o7yH4AoBmDEmKpqvGDyKzGJwYRUEBfiLo2hXeElINhdX1FOiPMNIbuGsAoCmXj0kXM3yNnuovOSqUTpRaqLYXqf60gmc+D0qIkl0NXULwBQBN8fU9Pf4bEtirrec1LSI4QLR2OdVfcR9T/Wmp9cvZlKBncMcAQHNiw4Pp5nOHk1H4+/pQRlI0NbW0itaukfCOWxj77TnjfbVUELIaKVdOxjlxjcqXU/Oc3PE8KLiZNukkG05X5dJiw6m20Uo7i04pfr6+lFWy3FFLGdVbW8Sez0qfT+1rDPGzkWlavi+99JLIC8w7Z02ZMkXsGd2VV199laZNm0YxMTHiMWPGjDNe73A46OGHHxb7UIeEhIjXZGVlqXAlAKAknnzFu2DpdUvIpKgQKqiso5pG/Y7reqK2qVl8ydArH97sJTmabjl/ON0z48x8BYZs+a5Zs0bkBV61apUIvM899xzNnDmTjh49SomJiWe8fuPGjSKpw7nnniuC9R//+Ee67LLL6ODBg5SWdjpzxYoVK+iFF16gt956iwYNGkQPPfSQOOahQ4d6tDUmshopX07GOXGNypdT85wLrmyg1V8foEiNZ8NxCg70o5HDh4udqXiLjKhg42T8cVfOLzSIov0ju92NS0vXGBYUQOcNS6Xzz0qjhMgQ8VxNTY05Wr4rV66khQsX0oIFC0QeYA7CoaGhtHr1apevf++99+juu+8W2ZSGDx9Or732msiytGHDhrZWLwfwBx98kGbNmiVSHr799ttUWFhIa9euVfnqAKCvBsZH0tRhqaR1vD55YEIkcc8rB16zqWqw6mbsNz0hkuZPy6Tlc86j6yYNbQu8apIafJubm2nXrl2iW7itQr6+4uetW7d6dIyGhgaRYzg29vTWdJxNqbi4uMMxo6KiRKva02MCgLZcPLK/WJqjVZzUPjYsiE6W1ZC1RZ0xQy3S8rUH+PnSucNS6ffXTqL7r5lE52SkUIC/n7T6SO12Li8vJ5vNRklJp5NBO/HPR44c8egY999/P6WmprYFWw68zmN0Pqbzd51ZrVbxcFKr2wEAPBPo70fzL8ikFf/eKVqWWpqVHREUQCcr5Kf608qyo/6x4ZRfqY0MTM6x99lTMuicoSmim1krpI/59sVTTz1FH374oRgH7kuaw+XLl9OyZcsUrRsAKCs9IYouGz2QPv+h9zO1lUz11y82go6XVIt0f/A/Wsj16+NDNHZAAg0cFkWDk6JoWMYA0hqpdyk+Pp78/PyopKTjdHD+OTk52W3ZZ555RgTfL774QozrOjnL9eSYS5YsIYvF0vbIz8/vw1UBgLdcNX4wpcaESZ0VK1L9+Woz1Z8W5JTVUHxEsLTkFFeOS6fHbziP7rxkDA1NjtbsXuFSg29gYCBNmDChbbIUc06emjp1apfleDbzY489RuvXr6eJEyd2+B3PbuYg2/6Y3I28bdu2Lo8ZFBQkZjW3fwCANsft5k3LFC0btaXFhIuJOSLVn1Wbqf60Qu3sVBnJ0fSLC0fREz87j645e4gYDtA66d3OvMxo/vz5IohOnjxZzFSur68Xs5/ZvHnzxBIi7hpmvLSI1/C+//77Ym2wcxw3PDxcPHx8fGjRokX0+OOPU0ZGRttSIx4Xnj17ttRrBQBlZj9fnDmANhzMU+V8UaGBFBsWLFp04Bm+V+FBASJTkze7/qcMTaELhqdRaoz+1hhLD75z5syhsrIyEVA5kPISIm7ROidM5eXliRnQTq+88oqYJf3Tn/60w3GWLl1KjzzyiPj/ixcvFgH8jjvuoOrqajr//PPFMfsyLgwA2nHN2YNpz8lSr4638tglJ3jILbOQpaHZa+cxIpvdQSkxYZRVrPySq9SYMJo+oh9NHpJMwQHSQ1ivaaLm9957r3i4wpOp2svNze32eNz6ffTRR8UDAIyH0/DdNPUseunLfV45fv+4CKqqazLlel2lFFTWimGCFpu9z8fy9fWhzH5x9LNLJogxd/6M1ztNBF8AgJ4a1T+eJg5Oop0ner9ncGe8lpgn6Bw+WiB+RrK83mtotolAyWPkvRUTFkTTzkqjZL8UiggJFBOojALB1w0kVlCunIxz4hqVLyfjnO7KnR3vS9/tKqamZlufNtYPDfKn+PAQOnqsQDPJCrR6zp6UO1lfQZYfhwZ6Um5IchRNHpxMw1JiyM/XRidPFlGlSu+52lp11mwj+AKAbkUEB9LlY9Jp7c7jve7OHBAbQQVVdZSHjTIUV1HXRMnRoVRc3eDRntjjBybR5CFJFBeh/naPakPwdQOJFZQvJ+OcuEbly8k4Z1flBg8ZQietQW7z5LraWD89PpIsjVaqqrdSaHyEJpMVaPmcnpZLSYyixiBLl+UGxEWICVQ8hMA7mcl+z6m1wyGCLwDoGo/R3jj1LFq+brtHm14kRISICVu55Vg6pIacUovY/KL9V6MAP18RbC8Y3k83yRiUhuALALrHs5OnDU+jb4+cHrN1JSTQn9Jiwii7DxOAoOf4C1FydBjxvoG8+cXsSUPpnIxUCg/Wzj7LMiD4AoAhXDthCO3KKaX6Ths7cMuY1+vy0hcEXjkKq+ro5vPOomEpsTQsY6Ds6miC/B2wAQAUwBlrZk8c0uG5lJhQigoLEut1GzWc7s7o6ppaqLnVrtl9lmVA8AUAw+B8rbz9JOfWHRgfQUVVDWKzDJBvW7brlK5mheALAAabfDWMLA1WOlmOpUNakl9RSyWWetnV0AwEXwAwXN7f8YNO7w0P2rI7p1R2FTQDwRcADIfHfrWQ1B062nuyTJG9no0A704AMJy48BC6OLO/7GpAJ43NrfTDyTLZ1dAEBF8AMKTLx6aLPZtBW747Vii7CpqA4AsAhsSbalyE1q/mHC6spPLaRjI7fC10A1mNlCsn45y4RuXL6a2uCX5N5G+1kKXEOJmCZJ9TiXJ//+8WumTkQE2+d9TKaoSWLwAYlp+vL52XkSK7GtDJntwysts92YnbuNDydQNZjZQvJ+OcuEbly8k4Z2/LDRgwgKojqnuVSEGrmYK0cM6+lmsOiaFR/eN7VNZIWY3Q8gUAQ/Px8aFZnbadBPm2ZJl74hWCLwAY3vDUWDorJUZ2NaCd/Xnl1NApCYaZIPgCgGmyHoF2tNodtDvXvDteIfgCgCkMToyiMQN6NsYI3rX9uHmTLSD4AoBpXHv2EEJSO+3IKq6mSpNmnULwBQDTSIsNp3HpCbKrAe3sOGHO1i+CLwCYyhVjB8muAnTK8+twmG/NL4IvAJhK/7gIGt3D9aXgPUXV9VRQWUdmg+ALAKZz5Ti0frVkmwknXiH4AoDppCdEUmZarOxqwI92nCgx3XaTCL4AYEpo/WqHpcFKx0uryUywt7MbyGqkXDkZ58Q1Kl/OaHWNcdRRbqlFt5mCZJzTW+U+3WSjq8YPdvk7ZDUCADCQacNSZVcBfnSooJLsJpr1jJavG8hqpHw5GefENSpfzih1HTLEQTvLbVRYVa/rTEEyzumNcv5RiWInsq4gqxEAgEEyHs0Y5XlSd/Cu3Tnm2esZwRcATG3S4CSKCg2SXQ0goj25pabZcAPBFwBMzd/Ply7O7C+7GkBElfVNdLJcnQlPsiH4AoDpTRueRsEBfrKrAXS69WsGCL4AYHohgf50HmY+a8Juk3Q9I/gCABDR9BH9kG5QA8prG+mUCfZ6RvAFACCihMhQGtk/TnY1gIh+yCsjo0PwBQD40UUjMPFKC/bnV5DRIfgCAPxoeFosJUaGyK6G6Z0srxH7PRsZgi8AwI98fXzE2C/Id/CUsVu/CL4AAO2cMzSFAv2x7Ei2H/LKyciwt7MbyGqkXDkZ58Q1Kl/OLHVNDWym/SU9//BHViPlyn1fUUzT+wVRgL8fshoBAJjBqH6xsqtges2tNsotUyfJgQxo+bqBrEbKl5NxTlyj8uXMUNddZa3UEBjdq/Mhq5Ey5Wr8Izv87ZDVCADA4M4emCi7Cqb3Q365YXe7QvAFAHBh9MB4CvDDR6RMlXVNVFTtOtey3uGdBQDgQmhgAI1PR+tXtiOFlWRECL4AAF1AsgX5DiP4AgCYS0ZyNCVgxyupsoqqyWa3k9Eg+AIAdMHHx4emDEmWXQ1Ts7baKL9CnbW3akLwBQBwYzKCr3THS6vJaBB8AQC6STU4ODFKdjVM7USJ8TbbQPAFAOgGWr9yFVTWUVNzKxkJdrhyI7fMQhFNDpfjQPERIRQeHCClXgCgrgmDEulv3x8ju0E3fNA6u8NBJ8osNIqMA8HXjefX76HAkLAufx8ZEkjJ0WGUGh1GKTFh1FxlEV1UAGAs4cGBNLJfHO3PN3amHS07UWohI0HwdaOmtIgCgrteZsBvhXwXWTtS0vZSfGQoJUWGiGUKiZGhIiiHBQXoPlOMGbLh4Bq1dU6t1DXFr5E2lxS4LYesRsqXc5bdbbVQ9vjBZJSsRgi+XlDX1EJ1TRbK7fRNjbupE6NCaXhKrPgWHRESKK2OANAzZ6XEkL+fL7XajLfmVA+q6pqo3tpMYUHG+NxE8HUjMjHFbbdzb7J2VBDRd0XNtKW4iIYlx9DEwUk0rt0G7nrJFGOGbDi4Rm2dUwt1Pb/ISntyy7oth6xGypdjjvAEGjowgYyQ1QjBVxKet3G0qEo8PthylOKpjkb1j6e0AekUEog/C4AW8V7PngRf8I7s4moa14vgq0X4lNfITL6skmrKKq6mbwusNKpfHE0clCSCcVCAn+zqAcCPRvePR9ezRNklxtlsA8FXY/g/6r0ny8Qj0N+XxvRPEF3Tmf3ikN4MQLLgAH8amRZL+/Iw61mG/IpaamppFX8HvdP/FRhYc6udduaUiAd3RZ9/VirNHJPudtY0AHi/6xnBV14vYU6phUakxZHeoSmlE43NrfTl/jx66KMt9MX+k9TcapNdJQBTGjMggfx8fWRXw7SyDdL1jOCrwyD8jx3Z9Mjft9LWrEKy27HjDoCauBeKlx2BvElXRiA9+L700kuUnp5OwcHBNGXKFNq+fXuXrz148CBdf/314vW8xeNzzz3X52PqVVW9ld7edJhe+WofHSuqJAe2vQNQdeIVyJFTVmOICW9Sg++aNWvovvvuo6VLl9Lu3btp7NixNHPmTCotLXX5+oaGBho8eDA99dRTlJycrMgx9a7E0kDvbj5Cz362W+xFDQDeh+ArT4vNTqcq9Z/fV2rwXblyJS1cuJAWLFhAmZmZtGrVKgoNDaXVq1e7fP2kSZPo6aefphtvvJGCgoIUOaZR8DKlP/5rJ7363/1UammQXR0AQ4uLCKHUmJ5vwAPKyC3Tf4pBacG3ubmZdu3aRTNmzPhfZXx9xc9bt27VzDH1ZnduKS375Hv6YMsRqmm0yq4OgGGh9SvPyXK0fHutvLycbDYbJSUldXiefy4uLlb1mFarVWwp1v6h9+n43x4poIc/2krr9+UiDRqAFyD4ypNbrv8hNqzzJaLly5fTsmXLepzVSA+ZSd4uyKMtu6Ppp1MyKDQwwDAZZrRYTsY5cY3yzskrDZqrSsQKBCdkNVK+nKuyNSVEBw7FUHA3W/FqOauRtJZvfHw8+fn5UUlJx5vKP3c1mcpbx1yyZAlZLJa2R35++0SBxpiav+qrH6jQAJMUALTC19eHMpKx5EgGBxEVVteRnklr+QYGBtKECRNow4YNNHv2bPGc3W4XP997772qHpMnb7mawOWNrEbeKttdOX6zfnS4mm6cmkTnDUs1RIYZrZaTcU5co5xzXugIo5PWQ2c8j6xGypfrXNYRHk9Dh6aTJ5DVqBNeEjR//nyaOHEiTZ48Wazbra+vFzOV2bx58ygtLU10CzsnVB06dKjt/xcUFNDevXspPDy87eZ2d0wz47Vx724+TCdKLTQx3pcC/JG0AaAvhqei5StLrs5nPEsNvnPmzKGysjJ6+OGHxYSocePG0fr169smTOXl5YnZyk6FhYU0fvz4tp+feeYZ8Zg+fTpt3LjRo2MC0ZZjhbT3QDXdeM5ZsqsCoGvRYcGUEh1GRdX1sqtiOifLEXz7hLuDu+oSdgZUJ961ypOdnNwdE04rqqqnVRv2UWh8Co3sp/9NygFkGZ4ai+AraZc/S4OVokJd7/mgddK3lwR5Gptt9NIXe+nfe05gORJAL41IjZVdBVOnGNQrBF+T45D7nz059PKX+6je2iK7OgC6k5ESTb4+yHIkQ0Glfmc8I/iCcPBUBS1ft13X3yQBZODE7oMTo2RXw5ROIfiCEVTUNYkEDXr+NgkgQ0ZytOwqmFJBlX4/qxB8oQPerefFz/dQWU2j7KoA6MZQBF9pWd1aWm2kRwi+cAZLY7MIwDyTEAC6x93OGPZVn93h0O1McwRfcKmstpH+/MVeasAkLACPxn37x0bIroYpFei061n6Ol8tM0Jihb6Us5QQPVZWRHOnjaDAH3fD0uom91ooJ+OcuEbtnDO8xaKJpANGK9dd2Z377JTg4zqHORIrgK53kfnb98fIZrfLrgqApg2Ij5RdBVMqtrgOvFqHlq8bRkqs0JdyJXai74tbRQtYy5vca6WcjHPiGuWfMzFtAK3ZelQTSQeMWK6rstagABoyZAj5uBl0R2IF0K3vs4soLMifxsb6uH2TA5hVZEggxYUHiyV7oJ56awvVNrWI+68n6HYGj204mE+bjhTIrgaAZqVh0pUUJRb9zXhG8IUe+epAHu08USy7GgCalBYbLrsKpsTrffUGwRd67F+7T9DunN7PXAQwKgRfOUoQfMEMOAHSG98eomIddvUAeFNyVCiSLEhQguALZtFqs9O7mw8jFSFAO7wePik6VHY1TKdEhw0BBF/oteMlFvr28CnZ1QDQlLQYdD2rrby2STQI9ATBF/pk7c7jVFGLJAwAThj3VZ/d4aBynX0OIfhCn1hbbfTud0fIge5ngLZxX1Bfic7GfRF8oc+OFFbS1qwi2dUA0ISEyFBkOJKgBMEXzOjj7VlUjRSEAKcnXaH1q7qyGn0FX2wv6YbZsxr1pJyFiJ7/qIZuPnd4l9tP6iUbjl6y6MgoJ+OceqxrQEMTWUoqPC5n5s8Opcoe8amj7OSADs8hqxGYwtHCKtqfXy67GgDSJUf1PCEL9E11XTPpCVq+biCrUc/LbS1uoUunDqAIN5uc6yUbjtaz6MgsJ+OceqprYlA07Siz9bicmT87+lzWz5cGDxnicpMTLWY1QssXFFXX1EJ/23ZMdjUApMJaX/W12uxU26if1i+CLyhu54kS2pdXJrsaANLEhAVRcICf7GqYToWO0jki+IJXfPDdEWpsbpVdDQApeNJhEsZ9VVeho402EHzBKyyNzcj9C6aG5Ubqq0DLF4Bo4+F8stn1td8qgFIQfNVXUYeWLwBV1VtpTy7GfsGcsM2k+irR8gU47b8H82RXAUAKjPmqr7IewRdAyCmroROlvP8VgLkkRIYQtnhWl6UBS40A2qD1C2bd4zk2PFh2NUylsbmVmlt7vrmJDAi+4HU87qunsRgApcRHeL43PCijRicbbSD4giqJrr85fEp2NQBUF4eWr+pqdBJ8sbezG8hqpFy5f1UVU/DIBArsxa4/yKKjnXIyzqnnulqrSshS0v16d3x2KFd2/6FwstfEif+PrEZgek3NNjpc5HmKNQAjiA4Lkl0F06lDy1f/kNVI2XK59ZV09YABusmGo6csOrhGbZ3TWc4RHkcbTnq+8QM+O/peNjwxlYYOHdLhOWQ1AlMrr22k7OIq2dUAUE1cOCZcqa2mwUp6gOALqtqaXSS7CgCqiQ4NcplfFrxHLxOuEHxBVceLLVRUVSe7GgCq8PX1wbivymoQfAFc+yG/XHYVAFQTFRIouwqmUm9tIT1A8AXVHSvCuC+YR1QoWr5qatBJHnEEX1Dd8RILUg2CaUSi5av6FpN2u4O0DsEXVGdttVFumTrT+QFkQ8tXfQ06aP0i+IIU6HoGs0DLV30Nzdof90XwBSmOIviCSaDlq74GHUy6QvAFKTjHb4sN475gfJjtrL56K7qdAVziwJtbZpFdDQCvCw9G8FVbgw5avtjb2Q1kNVKunKuyG7f5kM/IAZrPTKPlc+IatXVOV+WsLa3dZjbCZ4eyZY8dC6QYRx2yGgG4koMZz2ACgf5+YqcrUE9ji/a7ndHydQNZjZQv175srZ8vDUwfRAH+nuX4RRYd7ZSTcU491zW1fxHVNnXfFYrPDmXKxqf27/A3QFYjgHZabXY6gXFfMIGwoADZVTCV5lYbaR2CL0iF9b5gBqEIvqqytmp/JQWCL0iF9b5gBqFBGOFTUzNavgDu8TaT3P0MYGShgWj5qqkZwRfAPZvdQXU6WJMH0BdBHk4qBGVYWxB8AbpVp5Pk1wB9WW4E6mnRQW8agi9IV9uE4AvGFuiPj1o1WdHyBeieJ+sfAfQM3c7qasaYL0D36tDyBYMLDEDwVVMzgi9A99DyBaPDmK+6bA4HaR2CL0iHCVdgdBjzVZfdrv3gi5XfbiCrkXLl3JU97tdI2ckBms5Mo9Vz4hq1dc6uyhUVVLjNbITPDmXLNgX4UXZ2NrIaAeg99yZAXyCpkbrsOuh2RsvXDWQ1Ur6cq7JBkaEeZR2RnZlGy+fENWrrnJ3LNQVFU1R2Xbfl8NmhTFl/P19kNfLESy+9ROnp6RQcHExTpkyh7du3u339Rx99RMOHDxevHz16NH366acdfu9wOOjhhx+mlJQUCgkJoRkzZlBWVpaXrwJ6C7OdweiQz1dddh2M+UoPvmvWrKH77ruPli5dSrt376axY8fSzJkzqbS01OXrt2zZQjfddBPdfvvttGfPHpo9e7Z4HDhwoO01K1asoBdeeIFWrVpF27Zto7CwMHHMpqYmFa8MPNXQ3Eo2u/Z3pAHoLV8fBF+1u50dGu96lh58V65cSQsXLqQFCxZQZmamCJihoaG0evVql69//vnn6fLLL6f/+7//oxEjRtBjjz1GZ599Nv35z38Wv+cb/txzz9GDDz5Is2bNojFjxtDbb79NhYWFtHbtWpWvDjxVh+VGYGAIvupzaDv2yg2+zc3NtGvXLtEt3FYhX1/x89atW12W4efbv55xq9b5+pycHCouLu7wmqioKNGd3dUxQT5sMQlG5oduZ9XZNR59pU64Ki8vJ5vNRklJSR2e55+PHDnisgwHVlev5+edv3c+19VrOrNareLhZLFYxL8DowIpODTQ8+tpOr1cJj7a8zJ9LauXct2VPXayiApLKlyWyz+ZL/6tbOnZ21XtcjLO2etyeadE08DI1yjjnF2Vq7e20CA3/83gs0P5spaamrZlQz2ZROV8rbe7rTHbmYiWL19Oy5YtO+P5pXOvkFIfAADom/v7WL6iokL0mhoy+MbHx5Ofnx+VlHRcQM0/JycnuyzDz7t7vfNffo5nO7d/zbhx41wec8mSJWLSl1N1dTUNHDiQ8vLyvHrzjYS/Lfbv35/y8/MpMjJSdnV0Afes53DPeg73rGe453PAgAEUGxtL3iQ1+AYGBtKECRNow4YNYsYys9vt4ud7773XZZmpU6eK3y9atKjtuS+//FI8zwYNGiQCML/GGWz5zceznu+66y6XxwwKChKPzjjw4s3aM3y/cM96Bves53DPeg73rGd4/pGhu525xTl//nyaOHEiTZ48WcxUrq+vF7Of2bx58ygtLU10DbPf/OY3NH36dPrTn/5EV111FX344Ye0c+dO+utf/yp+7+PjIwLz448/ThkZGSIYP/TQQ5SamtoW4AEAAGSSHnznzJlDZWVlYlMMnhDFrdX169e3TZjirt/230DOPfdcev/998VSoj/84Q8iwPISolGjRrW9ZvHixSKA33HHHaIL+fzzzxfH5E05AAAApHPAGZqamhxLly4V/4JncM96Dves53DPeg73TJv3y4f/R/YXAAAAADORvsMVAACA2SD4AgAAqAzBFwAAQGWmCb5IW+i9+3Xw4EG6/vrrxet5qRcvF+vrMfWoJ9f36quv0rRp0ygmJkY8+P3T+fVGf4/19J598sknYklidHS0yFTGKyPeeeedDq/BPesaL8vk/z47L7nEPevozTffFPep/aPzShlF7pnDBD788ENHYGCgY/Xq1Y6DBw86Fi5c6IiOjnaUlJS4fP13333n8PPzc6xYscJx6NAhx4MPPugICAhw7N+/v+01Tz31lCMqKsqxdu1ax759+xzXXnutY9CgQY7GxkaH2e7X9u3bHb/73e8cH3zwgSM5Odnx7LPP9vmYetPT67v55psdL730kmPPnj2Ow4cPO2699Vbxfjp16pQp3mO9uWdff/2145NPPhH/TWZnZzuee+458d/p+vXr216De+ZaTk6OIy0tzTFt2jTHrFmzOvwO96yjN954wxEZGekoKipqexQXFyt+z0wRfCdPnuy455572n622WyO1NRUx/Lly12+/mc/+5njqquu6vDclClTHHfeeaf4/3a7XQSZp59+uu331dXVjqCgIBGAzHa/2hs4cKDL4NuXY+pBX6+vtbXVERER4XjrrbdM8R5T6j0xfvx48eWY4Z51/d4699xzHa+99ppj/vz5HYIv7pnr4MuBtStK3TPDdzsjbaH375eMY2qJEtfX0NBALS0tbfvJGvk9psQ944YDbyF79OhRuuCCC8RzuGeuPfroo5SYmEi33377Gb/DPXOtrq5O7O/Pe2JzXngeWlP6nhk++LpLW9hVikFvpC008v2ScUwtUeL67r//frEFqvM/aCO/x/pyz3jT+/DwcLEvPG8v++KLL9Kll14qfod7dqbNmzfT66+/LuYYuIJ7dqazzjqLVq9eTevWraN3331X5BvgnRVPnTql6D2Tvr0kgNk99dRTYjLMxo0bsQVqNyIiImjv3r2iZcItX94bfvDgwXThhRfKrprmcC7buXPnisDLGeTAM5ykx5moh3HgHTFiBP3lL3+hxx57jJRi+OCrlbSFRr5fMo6pJX25vmeeeUYE36+++orGjBnT9ryR32N9uWfcZTh06FDx//k+HD58WCRd4eCLe9bR8ePHKTc3l6655pq257gVx/z9/UWXPe5Z9wICAmj8+PGUnZ0tflbqnhm+27l92kInZ9rC9t9uXKUtbK+rtIVOzrSFXR3TyPdLxjG1pLfXt2LFCvFNmpN+8BKa9oz8HlPyPcFlrFar+P+4Zx3xUsn9+/eLngLn49prr6WLLrpI/H8ez8Q96x53W/N9dAZaxe6ZwwR4qjnPRHvzzTfFMoU77rhDTDV3Th+fO3eu4/e//32HpUb+/v6OZ555RiwD4U22XS014mOsW7fO8cMPP4gZhEaZnt/T+2W1WsWSGX6kpKSIZUf8/7Oysjw+ptnuGb9/ePnDxx9/3GFJQ21trSneY725Z08++aTjiy++cBw/fly8nv/75P9OX3311bbX4J51vGeddZ7tzHDP5na4Z8uWLXN8/vnn4n22a9cux4033ugIDg4Wy5SUvGemCL7sxRdfdAwYMEB84PHU8++//77td9OnTxdvyvb+9re/OYYNGyZeP3LkSMd//vOfM6abP/TQQ46kpCTxh73kkkscR48edZjxfvEaQv4e1/nBr/P0mGa7Z7wky9U94y96ZnmP9fSePfDAA46hQ4eKD8KYmBjH1KlTxQdre7hnZ36WdRd8cc+md7hnixYtanst35Mrr7zSsXv3bsXvGbIaAQAAqMzwY74AAABag+ALAACgMgRfAAAAlSH4AgAAqAzBFwAAQGUIvgAAACpD8AUAAFAZgi8AAIDKEHwBTIjTzF122WVePw/vW82bzTs39AeA0xB8AUymqamJHnroIVq6dKnXz3X55ZeLrDDvvfee188FoCcIvgAm8/HHH1NkZCSdd955qpzv1ltvpRdeeEGVcwHoBYIvgE6VlZWJ1GZPPvlk23NbtmwRadQ6p8Rs78MPP+yQ45VxPtxFixZ1eG727NkicDqlp6fT448/TvPmzaPw8HAaOHAg/fOf/xT1mDVrlniOcxLv3Lmzw3H4XPwc55cFgNMQfAF0KiEhgVavXk2PPPKICG61tbU0d+5cuvfee+mSSy7pstzmzZvPyB/sqWeffVa0mPfs2UNXXXWVOB8H45///Oe0e/duGjJkiPi5fb6WAQMGUFJSEm3atKlX5wQwIgRfAB278soraeHChXTLLbfQL3/5SwoLC6Ply5d3+frq6mqyWCyUmpra6/PdeeedlJGRQQ8//LBIIj5p0iS64YYbaNiwYXT//ffT4cOHqaSkpEM5Pt/Jkyd7dU4AI0LwBdC5Z555hlpbW+mjjz4SE5uCgoK6fG1jY6P4Nzg4uFfn4m5lJ27NstGjR5/xXGlpaYdyISEh1NDQ0KtzAhgRgi+AzvFYamFhoVjOk5ub6/a1cXFx5OPjQ1VVVd0e12aznfEcz1x24uN09VznpUWVlZWimxwATkPwBdCx5uZmMd46Z84ceuyxx+gXv/jFGa3O9ngyVmZmJh06dOiM33XuKj5x4oRiS5v4C8L48eMVOR6AESD4AujYAw88IMZweSkPj7fyuOttt93mtszMmTPFpKvO1q1bR5988okIlE888YQI0DxOW1BQ0Kc6fv/996IrfOrUqX06DoCRIPgC6NTGjRvpueeeo3feeUes2/X19RX/n2cVv/LKK12Wu/322+nTTz8VQbs9nr28YsUK0TL+9ttv6eWXX6bt27eLY/bFBx98ICaEhYaG9uk4AEbi42i/JgAATIFnJ5999tm0ZMmStnW+vA0kB3MllZeX01lnnSWWQg0aNEjRYwPoGVq+ACb09NNPi00xvI0ngHELGoEXoCO0fAHAay1fAHANwRcAAEBl6HYGAABQGYIvAACAyhB8AQAAVIbgCwAAoDIEXwAAAJUh+AIAAKgMwRcAAEBlCL4AAAAqQ/AFAAAgdf1//T942OghtnEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim.plot(z=h_wg / 2)\n",
    "sim.plot_grid(z=h_wg / 2, ax=ax)\n",
    "ax.set_xlim(0, 0.5)\n",
    "ax.set_ylim(0, 0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e602b858",
   "metadata": {},
   "source": [
    "Define a function to postprocess the simulation data and calculate the objective function, which is given by \n",
    "\n",
    "$$\n",
    "0.5 \\times (\\frac{T^{RCP}_L - T^{RCP}_R }{T^{RCP}_L} + \\frac{T^{LCP}_R - T^{LCP}_L }{T^{LCP}_R}),\n",
    "$$\n",
    "\n",
    "where $T^{RCP}_L$ and $T^{LCP}_R$ are the transmission of the left and right waveguides under RCP and LCP excitations, respectively. Note that this objective function only maximizes the transmission difference between the two waveguides under RCP and LCP excitations, and does not consider the coupling efficiency and absolute transmission power."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3caa6d42-3d43-4fa0-b409-8750355e1ba9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def postprocess(sim_data_right, sim_data_left):\n",
    "    \"\"\"\n",
    "    Post-processes simulation data to calculate the objective function value.\n",
    "\n",
    "    Args:\n",
    "        sim_data_right (td.SimulationData): Simulation data for right-circularly polarized (RCP) input.\n",
    "        sim_data_left (td.SimulationData): Simulation data for left-circularly polarized (LCP) input.\n",
    "\n",
    "\n",
    "    Returns:\n",
    "        float: The calculated objective function value.\n",
    "    \"\"\"\n",
    "    # Calculate the transmitted power for RCP input, detected as left-circularly polarized (LCP).\n",
    "    T_RCP_L = np.abs(sim_data_right[\"mode_left\"].amps.sel(direction=\"-\").item()) ** 2\n",
    "    # Calculate the transmitted power for RCP input, detected as right-circularly polarized (RCP).\n",
    "    T_RCP_R = np.abs(sim_data_right[\"mode_right\"].amps.sel(direction=\"+\").item()) ** 2\n",
    "    # Calculate the transmitted power for LCP input, detected as left-circularly polarized (LCP).\n",
    "    T_LCP_L = np.abs(sim_data_left[\"mode_left\"].amps.sel(direction=\"-\").item()) ** 2\n",
    "    # Calculate the transmitted power for LCP input, detected as right-circularly polarized (RCP).\n",
    "    T_LCP_R = np.abs(sim_data_left[\"mode_right\"].amps.sel(direction=\"+\").item()) ** 2\n",
    "\n",
    "    # Calculate the final metric based on the transmitted powers.\n",
    "    return 0.5 * ((T_RCP_L - T_RCP_R) / T_RCP_L + (T_LCP_R - T_LCP_L) / T_LCP_R)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ceded0fd",
   "metadata": {},
   "source": [
    "## Design Optimization\n",
    "\n",
    "To perform the design optimization, we first generate a set of random designs and calculate the objective function for each design. Then we pick the best design and perform a DBS."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "52fe6451-ff7a-431d-9221-5502054c91cd",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_designs = 20  # Number of initial designs\n",
    "\n",
    "# Generate random design parameters\n",
    "rng = np.random.default_rng(seed=42)\n",
    "design_params_history = rng.integers(0, 2, size=(n_designs, n_pixel))\n",
    "\n",
    "# Create simulations\n",
    "sims = {\n",
    "    f\"{i}_{pol}\": sim\n",
    "    for i, design in enumerate(design_params_history)\n",
    "    for pol, sim in zip((\"right\", \"left\"), make_sims(design))\n",
    "}\n",
    "\n",
    "# Run simulations\n",
    "batch = web.Batch(simulations=sims, verbose=False)\n",
    "batch_results = batch.run(path_dir=\"data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c23bc326-4fa7-47af-ac5a-c1201ab94146",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The 16-th sample has the maximum objective value of 0.3477.\n"
     ]
    }
   ],
   "source": [
    "# Calculate the objective function for all designs\n",
    "fom_history = [\n",
    "    postprocess(batch_results[f\"{i}_right\"], batch_results[f\"{i}_left\"]) for i in range(n_designs)\n",
    "]\n",
    "\n",
    "# Pick the best design\n",
    "max_fom = max(fom_history)\n",
    "idx = fom_history.index(max_fom)\n",
    "current_best_params = design_params_history[idx]\n",
    "print(f\"The {idx}-th sample has the maximum objective value of {max_fom:.4f}.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "edc8739c",
   "metadata": {},
   "source": [
    "Now we are ready to perform DBS. Starting from an initial design, it iteratively flips individual bits, keeps changes that improve the objective function, and rejects those that do not. The pixels are visited in a randomized order to reduce traversal bias, and the process repeats for multiple passes until no further improvement is found or a specified objective threshold is reached."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "53afab16-18a0-47f6-b4c2-ca3dd4626fe2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def obj_func(design_params):\n",
    "    \"\"\"\n",
    "    Objective function for optimization.\n",
    "\n",
    "    Args:\n",
    "        design_params (np.array): The design parameters.\n",
    "\n",
    "    Returns:\n",
    "        float: The objective value.\n",
    "    \"\"\"\n",
    "\n",
    "    sim_right, sim_left = make_sims(design_params)\n",
    "    batch = web.Batch(simulations={\"right\": sim_right, \"left\": sim_left}, verbose=False)\n",
    "    batch_results = batch.run(path_dir=\"data\")\n",
    "    return postprocess(batch_results[\"right\"], batch_results[\"left\"])\n",
    "\n",
    "\n",
    "def direct_binary_search(obj_func, initial_params, termination, max_passes=3):\n",
    "    \"\"\"\n",
    "    Performs Direct Binary Search (DBS) to maximize the objective function.\n",
    "\n",
    "    Args:\n",
    "        obj_func (callable): The objective function to maximize.\n",
    "        initial_design (np.array): The starting binary design vector.\n",
    "        termination (float): Optimization termination condition\n",
    "        max_passes (int): Maximum number of full passes over all pixels.\n",
    "\n",
    "    Returns:\n",
    "        best_design (np.array): The optimized binary array.\n",
    "        best_objective (float): The corresponding function value.\n",
    "    \"\"\"\n",
    "\n",
    "    current_design = initial_params.copy().astype(int)\n",
    "\n",
    "    # Calculate initial objective\n",
    "    current_objective = obj_func(current_design)\n",
    "    best_design = current_design.copy()\n",
    "    best_objective = current_objective\n",
    "\n",
    "    n_params = len(current_design)\n",
    "\n",
    "    print(f\"Starting DBS. Parameters: {n_params}, Initial objective: {current_objective:.4f}\")\n",
    "\n",
    "    np.random.seed(123)\n",
    "    for pass_num in range(max_passes):\n",
    "        improved_in_this_pass = False\n",
    "\n",
    "        # Create a random order of indices to visit (stochastic traversal prevents bias)\n",
    "        indices = np.random.permutation(n_params)\n",
    "\n",
    "        for idx in indices:\n",
    "            # Flip the bit (0->1 or 1->0)\n",
    "            current_design[idx] = 1 - current_design[idx]\n",
    "\n",
    "            # Evaluate new design\n",
    "            new_objective = obj_func(current_design)\n",
    "\n",
    "            # Decision Logic\n",
    "            if new_objective > current_objective:\n",
    "                # Keep the change\n",
    "                current_objective = new_objective\n",
    "                best_design = current_design.copy()\n",
    "                best_objective = new_objective\n",
    "                improved_in_this_pass = True\n",
    "\n",
    "                print(\n",
    "                    f\"  [Pass {pass_num + 1}] Improved! Idx {idx}: {1 - current_design[idx]}->{current_design[idx]} | Highest objective value: {new_objective:.4f}\"\n",
    "                )\n",
    "\n",
    "                if new_objective >= termination:\n",
    "                    print(\n",
    "                        f\"Termination condition reached (objective={new_objective:.4f} ≥ 0.99). Stopping optimization.\"\n",
    "                    )\n",
    "                    return best_design, best_objective\n",
    "\n",
    "            else:\n",
    "                # Revert the change\n",
    "                current_design[idx] = 1 - current_design[idx]\n",
    "\n",
    "        # Convergence check\n",
    "        if not improved_in_this_pass:\n",
    "            print(f\"Converged at pass {pass_num + 1}. No further improvements found.\")\n",
    "            break\n",
    "\n",
    "    return best_design, best_objective"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93304101",
   "metadata": {},
   "source": [
    "Running the optimization and obtaining the final design."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9127bde4-d7e3-42ed-9ef7-d973557ff625",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization Starting...\n",
      "Starting DBS. Parameters: 435, Initial objective: 0.3477\n",
      "  [Pass 1] Improved! Idx 319: 1->0 | Highest objective value: 0.4293\n",
      "  [Pass 1] Improved! Idx 373: 0->1 | Highest objective value: 0.4333\n",
      "  [Pass 1] Improved! Idx 189: 0->1 | Highest objective value: 0.4983\n",
      "  [Pass 1] Improved! Idx 212: 1->0 | Highest objective value: 0.5031\n",
      "  [Pass 1] Improved! Idx 232: 1->0 | Highest objective value: 0.5213\n",
      "  [Pass 1] Improved! Idx 185: 0->1 | Highest objective value: 0.6802\n",
      "  [Pass 1] Improved! Idx 75: 0->1 | Highest objective value: 0.6975\n",
      "  [Pass 1] Improved! Idx 114: 1->0 | Highest objective value: 0.7368\n",
      "  [Pass 1] Improved! Idx 36: 0->1 | Highest objective value: 0.8089\n",
      "  [Pass 1] Improved! Idx 276: 1->0 | Highest objective value: 0.8198\n",
      "  [Pass 1] Improved! Idx 9: 1->0 | Highest objective value: 0.8335\n",
      "  [Pass 1] Improved! Idx 242: 0->1 | Highest objective value: 0.8394\n",
      "  [Pass 1] Improved! Idx 287: 1->0 | Highest objective value: 0.8430\n",
      "  [Pass 1] Improved! Idx 275: 0->1 | Highest objective value: 0.8520\n",
      "  [Pass 1] Improved! Idx 155: 1->0 | Highest objective value: 0.8946\n",
      "  [Pass 1] Improved! Idx 171: 1->0 | Highest objective value: 0.8975\n",
      "  [Pass 1] Improved! Idx 234: 1->0 | Highest objective value: 0.9143\n",
      "  [Pass 1] Improved! Idx 48: 1->0 | Highest objective value: 0.9218\n",
      "  [Pass 1] Improved! Idx 41: 0->1 | Highest objective value: 0.9434\n",
      "  [Pass 1] Improved! Idx 175: 0->1 | Highest objective value: 0.9505\n",
      "  [Pass 1] Improved! Idx 400: 0->1 | Highest objective value: 0.9567\n",
      "  [Pass 1] Improved! Idx 363: 1->0 | Highest objective value: 0.9583\n",
      "  [Pass 1] Improved! Idx 95: 0->1 | Highest objective value: 0.9671\n",
      "  [Pass 1] Improved! Idx 390: 1->0 | Highest objective value: 0.9692\n",
      "  [Pass 1] Improved! Idx 415: 1->0 | Highest objective value: 0.9720\n",
      "  [Pass 1] Improved! Idx 388: 1->0 | Highest objective value: 0.9731\n",
      "  [Pass 1] Improved! Idx 107: 0->1 | Highest objective value: 0.9819\n",
      "  [Pass 1] Improved! Idx 102: 1->0 | Highest objective value: 0.9842\n",
      "  [Pass 1] Improved! Idx 423: 1->0 | Highest objective value: 0.9868\n",
      "  [Pass 1] Improved! Idx 31: 1->0 | Highest objective value: 0.9961\n",
      "Termination condition reached (objective=0.9961 ≥ 0.99). Stopping optimization.\n",
      "------------------------------\n",
      "Optimization Complete.\n"
     ]
    }
   ],
   "source": [
    "print(\"Optimization Starting...\")\n",
    "optimized_design, final_objective = direct_binary_search(\n",
    "    obj_func, current_best_params, termination=0.99\n",
    ")\n",
    "\n",
    "print(\"-\" * 30)\n",
    "print(\"Optimization Complete.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ba603d6",
   "metadata": {},
   "source": [
    "We successfully achieved a PPS design with the objective function value larger than 0.99. We can visualize the final design pattern and export a gds file for fabrication."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "1847b7bc-fb21-4502-a240-6ac2b1137465",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim, _ = make_sims(optimized_design)\n",
    "sim.plot(z=h_wg / 2)\n",
    "plt.show()\n",
    "\n",
    "sim.to_gds_file(\"./misc/optimized_spin_selector.gds\", z=h_wg / 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2876de3f-9f3f-4eb9-b9da-2cac6356d3f2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to design a photonic spin selector and use direct binary search to optimize it in Tidy3D FDTD.",
  "feature_image": "./img/spin_selector.png",
  "features": [
   "Global optimization"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "silicon photonics, silicon nitride, PIC, integrated photonics, spin selector, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  },
  "title": "Photonic spin selector optimized via direct binary search (DBS) in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
