{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Design optimization of a bilayer SiN/Si grating coupler\n",
        "\n",
        "Silicon nitride has attracted increasing interest due to its superior\n",
        "passive properties. However, similar to silicon PICs, fiber-to-chip\n",
        "coupling remains a significant challenge for SiN platforms. Conventional\n",
        "SiN grating couplers exhibit low coupling efficiency due to their low\n",
        "refractive index contrast. To address this, a high-contrast grating\n",
        "reflector (GR) is employed as a bottom reflector to enhance coupling\n",
        "efficiency, rather than using distributed Bragg reflectors (DBR) or\n",
        "metal reflectors. Through design optimization, combining parameter\n",
        "sweeps and adjoint-based inverse design, a grating coupler with high\n",
        "coupling efficiency (\\< 1 dB) is achieved.\n",
        "\n",
        "The workflow includes:\n",
        "\n",
        "1.  **Periodic SiN Grating Coupler Design**: Optimizing the SiN grating\n",
        "    period, gap size, and fiber position.\n",
        "2.  **Silicon Grating Reflector Design**: Designing a bottom silicon\n",
        "    grating to reflect leakage light upwards.\n",
        "3.  **Interlayer Distance Optimization**: Tuning the distance between\n",
        "    the SiN and Si layers.\n",
        "4.  **Inverse Design**: Using adjoint optimization to apodize the\n",
        "    grating for maximum efficiency."
      ],
      "id": "7a202879-80cf-48e2-a83e-455516ed2c39"
    },
    {
      "cell_type": "raw",
      "metadata": {
        "raw_mimetype": "text/html"
      },
      "source": [
        "<center>"
      ],
      "id": "eb857456-7bc4-45fe-9321-bf4840360f1b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "<img src=\"img/bilayer_GC.png\" alt=\"schematic\"  width=\"500\"/>"
      ],
      "id": "6b6de8b7-ba91-4899-96cf-e2c1174c8322"
    },
    {
      "cell_type": "raw",
      "metadata": {
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      "source": [
        "</center>"
      ],
      "id": "7a6a7c67-47cd-4795-ba54-040cc3fd1327"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The design is based on the following publication:\n",
        "`Jinghui Zou, Yu Yu, Mengyuan Ye, Lei Liu, Shupeng Deng, and Xinliang Zhang, \"Ultra efficient silicon nitride grating coupler with bottom grating reflector,\" Opt. Express 23, 26305-26312 (2015).`\n",
        "[DOI: 10.1364/OE.23.026305](https://doi.org/10.1364/OE.23.026305)."
      ],
      "id": "a54d3eea-f336-4065-8b56-7ebf9c5497ad"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import autograd as ag\n",
        "import autograd.numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import tidy3d as td\n",
        "import tidy3d.plugins.design as tdd\n",
        "import tidy3d.web as web\n",
        "from tidy3d.plugins.autograd import adam, apply_updates"
      ],
      "id": "99275957"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation Setup\n",
        "\n",
        "We define the central wavelength, frequency, and bandwidth for the\n",
        "simulation. The simulation will target 1550 nm."
      ],
      "id": "f0e664a3-6175-47fb-8bcf-2128a3131ef3"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.55  # Central wavelength\n",
        "freq0 = td.C_0 / lda0  # Central frequency\n",
        "ldas = np.linspace(1.5, 1.6, 101)  # Wavelength range\n",
        "freqs = td.C_0 / ldas\n",
        "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # Frequency width of the source"
      ],
      "id": "4a879d19"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We define the relevant materials as nondispersive mediums for\n",
        "simplicity."
      ],
      "id": "ada7c1f9-bd4a-415d-9ad2-ef88466818fd"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "SiN = td.Medium.from_nk(n=1.97, k=0, freq=freq0)\n",
        "Si = td.Medium.from_nk(n=3.47, k=0, freq=freq0)\n",
        "SiO2 = td.Medium.from_nk(n=1.44, k=0, freq=freq0)"
      ],
      "id": "3d91b5c2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Defining the fixed geometric parameters."
      ],
      "id": "28a8624b-0a9a-40e3-9690-c47cf5e28a43"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "t_SiN = 0.4  # Thickness of SiN layer\n",
        "t_Si = 0.22  # Thickness of Silicon waveguide\n",
        "t_clad = 0.75  # Target cladding thickness\n",
        "t_box = 2  # Thickness of Buried Oxide (BOX)\n",
        "theta = np.deg2rad(8)  # Fiber angle\n",
        "mfd = 10.4  # Mode field diameter\n",
        "\n",
        "n_gc = 14  # Number of SiN grating teeth\n",
        "inf_eff = 1e3  # Effective infinity"
      ],
      "id": "2ae2d74d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next we define some fixed simulation parameters. These will be used\n",
        "repeatedly in various following simulation setups."
      ],
      "id": "792e4768-a5f5-41dc-b83d-4890e4bd8aa7"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "run_time = 3e-12  # Simulation run time\n",
        "\n",
        "# Grid specification\n",
        "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20)\n",
        "\n",
        "# Boundary condition specification\n",
        "boundary_spec = td.BoundarySpec(\n",
        "    x=td.Boundary.absorber(num_layers=80),\n",
        "    y=td.Boundary.periodic(),  # set the boundary to periodic in y since it's a 2D simulation\n",
        "    z=td.Boundary.pml(),\n",
        ")\n",
        "\n",
        "# Mode monitor for coupling efficiency measurement\n",
        "mode_monitor = td.ModeMonitor(\n",
        "    center=(-lda0 / 2, 0, t_SiN / 2),\n",
        "    size=(0, td.inf, 5 * t_SiN),\n",
        "    freqs=freqs,\n",
        "    mode_spec=td.ModeSpec(num_modes=1, target_neff=1.97),\n",
        "    name=\"mode\",\n",
        ")"
      ],
      "id": "32dfbcc8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Periodic SiN Grating Coupler Design\n",
        "\n",
        "In the first part, we design and optimize a periodic SiN grating coupler\n",
        "by parameter sweeping the grating period, duty cycle, and fiber\n",
        "position.\n",
        "\n",
        "Since we are optimizing the grating only, we will ignore the silicon\n",
        "layer as well as the substrate for now. They will be added and optimized\n",
        "later."
      ],
      "id": "96e8b958-6e08-4490-81d6-e2ddd7067c2a"
    },
    {
      "cell_type": "raw",
      "metadata": {
        "raw_mimetype": "text/html"
      },
      "source": [
        "<center>"
      ],
      "id": "5a3a4f68-9bf3-4a41-871d-def4b668eda4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "<img src=\"img/bilayer_GC_2.png\" alt=\"schematic\"  width=\"500\"/>"
      ],
      "id": "0834b44c-e29a-4d93-acfc-8f708571f335"
    },
    {
      "cell_type": "raw",
      "metadata": {
        "raw_mimetype": "text/html"
      },
      "source": [
        "</center>"
      ],
      "id": "6d8b4f5d-7f4f-4ce3-b8fa-d10b63bb7db2"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_2D_SiN_grating(w_gc: float, p_gc: float) -> td.Structure:\n",
        "    \"\"\"\n",
        "    Creates a 2D SiN grating structure.\n",
        "\n",
        "    Parameters:\n",
        "        w_gc (float): Width of the etched region.\n",
        "        p_gc (float): Period of the grating.\n",
        "\n",
        "    Returns:\n",
        "        td.Structure: The resulting grating structure.\n",
        "    \"\"\"\n",
        "    gratings = 0\n",
        "    # Iterate to create each period of the grating\n",
        "    for i in range(n_gc):\n",
        "        # Add a box for each grating period\n",
        "        gratings += td.Box.from_bounds(\n",
        "            rmin=(w_gc + i * p_gc, -inf_eff, 0), rmax=((i + 1) * p_gc, inf_eff, t_SiN)\n",
        "        )\n",
        "\n",
        "    return td.Structure(geometry=gratings, medium=SiN)\n",
        "\n",
        "\n",
        "waveguide = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, 0), rmax=(0, inf_eff, t_SiN)),\n",
        "    medium=SiN,\n",
        ")\n",
        "\n",
        "oxide_layer = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, t_SiN + t_clad)\n",
        "    ),\n",
        "    medium=SiO2,\n",
        ")\n",
        "\n",
        "\n",
        "def make_2D_SiN_grating_sim(w_gc: float, p_gc: float, x_fiber: float) -> td.Simulation:\n",
        "    \"\"\"\n",
        "    Creates a simulation for a 2D SiN grating coupler.\n",
        "\n",
        "    Parameters:\n",
        "        w_gc (float): Width of the etched region.\n",
        "        p_gc (float): Period of the grating.\n",
        "        x_fiber (float): x-position of the fiber center.\n",
        "\n",
        "    Returns:\n",
        "        td.Simulation: The Tidy3D simulation object.\n",
        "    \"\"\"\n",
        "    gratings = make_2D_SiN_grating(w_gc, p_gc)  # Create the grating structure\n",
        "\n",
        "    # Create a Gaussian beam source representing the input fiber mode\n",
        "    gaussian_beam = td.GaussianBeam(\n",
        "        center=(x_fiber, 0, t_SiN + t_clad + lda0 / 4),\n",
        "        size=(2 * mfd, td.inf, 0),\n",
        "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "        pol_angle=np.pi / 2,\n",
        "        angle_theta=theta,\n",
        "        angle_phi=0,\n",
        "        direction=\"-\",\n",
        "        waist_radius=mfd / 2,\n",
        "        waist_distance=0,\n",
        "    )\n",
        "\n",
        "    # Simulation domain box\n",
        "    sim_box = td.Box.from_bounds(\n",
        "        rmin=(-lda0, 0, -lda0), rmax=(n_gc * p_gc + lda0, 0, t_SiN + t_clad + lda0)\n",
        "    )\n",
        "\n",
        "    # Create the simulation\n",
        "    sim = td.Simulation(\n",
        "        center=sim_box.center,\n",
        "        size=sim_box.size,\n",
        "        grid_spec=grid_spec,\n",
        "        run_time=run_time,\n",
        "        structures=[oxide_layer, gratings, waveguide],\n",
        "        sources=[gaussian_beam],\n",
        "        monitors=[mode_monitor],\n",
        "        boundary_spec=boundary_spec,\n",
        "    )\n",
        "    return sim"
      ],
      "id": "521b46c0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Create a single simulation to verify the setup and visualize the\n",
        "permittivity distribution."
      ],
      "id": "75a8a08a-04b4-4e98-9c4a-f6b47d6bd69f"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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5M26++Wav5/ULt+HqN9zt+VNaWor27dujsrIS55xzDjZs2NDksklJSaisrERm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\n"
          }
        }
      ],
      "source": [
        "sim = make_2D_SiN_grating_sim(w_gc=0.5, p_gc=1.2, x_fiber=6)\n",
        "sim.plot_eps(y=0)\n",
        "plt.show()"
      ],
      "id": "d6fba3e2"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "def coupling_efficiency(sim_data: td.SimulationData) -> dict:\n",
        "    \"\"\"\n",
        "    Calculates the coupling efficiency from simulation data.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    sim_data : td.SimulationData\n",
        "        The simulation data containing mode amplitudes.\n",
        "\n",
        "    Returns\n",
        "    -------\n",
        "    dict\n",
        "        A dictionary containing the coupling efficiency in dB.\n",
        "    \"\"\"\n",
        "    # Extract the amplitude of the fundamental mode (mode_index=0) propagating in the backward direction (\"-\") at the central frequency (freq0)\n",
        "    amp = sim_data[\"mode\"].amps.sel(mode_index=0, direction=\"-\", f=freq0).values\n",
        "    return {\"coupling efficiency\": 20 * np.log10(np.abs(amp))}"
      ],
      "id": "77dc20cf"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we are ready to perform the parameter sweep (grid search) using\n",
        "Tidy3D’s `Design` plugin."
      ],
      "id": "1e811a56-c640-4994-95bb-5e208b6e5f1c"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:01:13 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">180</span> Simulations                                            \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "# Define parameters and bounds\n",
        "params = [\n",
        "    tdd.ParameterFloat(name=\"w_gc\", span=(0.4, 0.5), num_points=6),\n",
        "    tdd.ParameterFloat(name=\"p_gc\", span=(1.0, 1.2), num_points=6),\n",
        "    tdd.ParameterFloat(name=\"x_fiber\", span=(4.8, 5.2), num_points=5),\n",
        "]\n",
        "\n",
        "# Design optimization method (grid search)\n",
        "method = tdd.MethodGrid()\n",
        "\n",
        "# Create a design space and run the sweep\n",
        "design_space = tdd.DesignSpace(method=method, parameters=params, path_dir=\"./data\")\n",
        "results = design_space.run(make_2D_SiN_grating_sim, coupling_efficiency)"
      ],
      "id": "d597d2c2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After the sweep is done, we can pick the optimal design parameters."
      ],
      "id": "0e5df213-e11c-4084-a2ae-0ecd5e4187c7"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "<p>180 rows × 4 columns</p>\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "df = results.to_dataframe()  # Convert the results to a pandas DataFrame\n",
        "\n",
        "# Pick the best design\n",
        "best_row = df.loc[df[\"coupling efficiency\"].idxmax()]\n",
        "best_w_gc, best_p_gc, best_x_fiber = best_row[[\"w_gc\", \"p_gc\", \"x_fiber\"]]\n",
        "df.sort_values(by=\"coupling efficiency\", ascending=False)"
      ],
      "id": "00ebb191"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Periodic Si Grating Reflector Design\n",
        "\n",
        "To improve the coupling efficiency of the grating coupler, we add a\n",
        "bottom grating in the silicon layer to reflect leakage light upwards. We\n",
        "need to optimize the grating period and duty cycle to achieve maximum\n",
        "reflection."
      ],
      "id": "6c49680d-2eb5-45c9-ab8f-089c25783f62"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_2D_Si_grating(w_gr: float, p_gr: float, z_gr: float) -> \"td.Structure\":\n",
        "    \"\"\"\n",
        "    Creates a 2D silicon grating structure.\n",
        "\n",
        "    Args:\n",
        "        w_gr: Width of the etched region.\n",
        "        p_gr: Period of the grating.\n",
        "        z_gr: The z-coordinate of the bottom surface of the grating.\n",
        "\n",
        "    Returns:\n",
        "        A Tidy3D Structure object representing the entire grating.\n",
        "    \"\"\"\n",
        "    offset = -2  # Initial offset for the grating placement\n",
        "\n",
        "    # Loop to create multiple grating teeth\n",
        "    gratings = 0\n",
        "    for i in range(50):\n",
        "        gratings += td.Box.from_bounds(\n",
        "            rmin=(offset + w_gr + i * p_gr, -inf_eff, -z_gr),\n",
        "            rmax=(offset + (i + 1) * p_gr, inf_eff, -z_gr + t_Si),\n",
        "        )\n",
        "\n",
        "    return td.Structure(geometry=gratings, medium=Si)\n",
        "\n",
        "\n",
        "# Create a Gaussian beam at the optimal position\n",
        "gaussian_beam = td.GaussianBeam(\n",
        "    center=(best_x_fiber, 0, t_SiN + t_clad + lda0 / 4),\n",
        "    size=(2 * mfd, td.inf, 0),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    pol_angle=np.pi / 2,\n",
        "    angle_theta=theta,\n",
        "    angle_phi=0,\n",
        "    direction=\"-\",\n",
        "    waist_radius=mfd / 2,\n",
        "    waist_distance=0,\n",
        ")\n",
        "\n",
        "\n",
        "def make_2D_Si_grating_sim(w_gr: float, p_gr: float, z_gr: float = 1) -> \"td.Simulation\":\n",
        "    \"\"\"\n",
        "    Creates a Tidy3D simulation for a 2D silicon grating.\n",
        "\n",
        "    Args:\n",
        "        w_gr: Width of the etched region.\n",
        "        p_gr: Period of the grating.\n",
        "        z_gr: The z-coordinate of the bottom surface of the grating.\n",
        "\n",
        "    Returns:\n",
        "        A Tidy3D Simulation object.\n",
        "    \"\"\"\n",
        "    # Create the grating structure\n",
        "    gratings = make_2D_Si_grating(w_gr, p_gr, z_gr)\n",
        "\n",
        "    # Define the substrate structure\n",
        "    substrate = td.Structure(\n",
        "        geometry=td.Box.from_bounds(\n",
        "            rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, -z_gr - t_box)\n",
        "        ),\n",
        "        medium=Si,\n",
        "    )\n",
        "\n",
        "    # Define a flux monitor to measure reflection\n",
        "    flux_monitor = td.FluxMonitor(\n",
        "        center=(0, 0, t_SiN + t_clad + lda0 / 2),\n",
        "        size=(td.inf, td.inf, 0),\n",
        "        freqs=[freq0],\n",
        "        normal_dir=\"+\",\n",
        "        name=\"flux\",\n",
        "    )\n",
        "\n",
        "    # Simulation domain box\n",
        "    sim_box = td.Box.from_bounds(\n",
        "        rmin=(-lda0, 0, -z_gr - t_box - lda0),\n",
        "        rmax=(20 * p_gr + lda0, 0, t_SiN + t_clad + lda0),\n",
        "    )\n",
        "\n",
        "    # Create the simulation\n",
        "    sim = td.Simulation(\n",
        "        center=sim_box.center,\n",
        "        size=sim_box.size,\n",
        "        grid_spec=grid_spec,\n",
        "        run_time=run_time,\n",
        "        structures=[oxide_layer, gratings, substrate],\n",
        "        sources=[gaussian_beam],\n",
        "        monitors=[flux_monitor],\n",
        "        boundary_spec=boundary_spec,\n",
        "    )\n",
        "    return sim"
      ],
      "id": "056cfba0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize the simulation setup."
      ],
      "id": "f9e60e40-b872-40e4-9c23-085caae19021"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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btEEtVpvp+QEAAAAAKEXQ+1/T+//8/Mlk0rGxmbBETVRa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\ndlUiVuf1bgIAYCzT+9+w5mfCchDxeFzJZLL4ipLq6+sL/jy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          }
        }
      ],
      "source": [
        "sim = make_2D_Si_grating_sim(w_gr=0.2, p_gr=0.5)\n",
        "sim.plot(y=0)\n",
        "plt.show()"
      ],
      "id": "180bb23a"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [],
      "source": [
        "def reflectivity(sim_data: td.SimulationData) -> dict:\n",
        "    \"\"\"\n",
        "    Extracts the reflectivity from the simulation data.\n",
        "\n",
        "    Parameters:\n",
        "        sim_data (td.SimulationData): The simulation data containing flux results.\n",
        "\n",
        "    Returns:\n",
        "        dict: A dictionary containing the reflectivity values.\n",
        "    \"\"\"\n",
        "    # Extract the flux values from the simulation data\n",
        "    r = sim_data[\"flux\"].flux.values\n",
        "    return {\"reflectivity\": r}"
      ],
      "id": "a0df0fb5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Similar to the previous section, we will perform a parameter sweep to\n",
        "optimize the Si grating period and duty cycle."
      ],
      "id": "1cc8ebd2-2880-468e-9c59-2f75973333af"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:04:28 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">121</span> Simulations                                            \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "# Design parameters and bounds\n",
        "params = [\n",
        "    tdd.ParameterFloat(name=\"w_gr\", span=(0.3, 0.5), num_points=11),\n",
        "    tdd.ParameterFloat(name=\"p_gr\", span=(0.7, 1.0), num_points=11),\n",
        "]\n",
        "\n",
        "# Perform parameter sweep\n",
        "design_space = tdd.DesignSpace(method=method, parameters=params, path_dir=\"./data\")\n",
        "results = design_space.run(make_2D_Si_grating_sim, reflectivity)"
      ],
      "id": "c15ad1f7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "From the results, we find the parameters that yield the highest\n",
        "reflection."
      ],
      "id": "b3ad6ea5-ad5a-4829-974a-03148c4d9615"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "<p>121 rows × 3 columns</p>\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "df = results.to_dataframe()\n",
        "\n",
        "best_row = df.loc[df[\"reflectivity\"].idxmax()]\n",
        "best_w_gr, best_p_gr = best_row[[\"w_gr\", \"p_gr\"]]\n",
        "\n",
        "df.sort_values(by=\"reflectivity\", ascending=False)"
      ],
      "id": "02dfb375"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Interlayer Distance Optimization\n",
        "\n",
        "Here we combine the optimized SiN grating and the optimized Si reflector\n",
        "into a single simulation and optimize the vertical separation `z_gr` to\n",
        "ensure constructive interference and therefore maximum coupling\n",
        "efficiency."
      ],
      "id": "72a36323-e4e9-4b49-872a-a90473005fa8"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_2D_full_grating_sim(z_gr: float) -> td.Simulation:\n",
        "    \"\"\"\n",
        "    Creates a simulation of the full coupler structure including SiN and Si gratings.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    z_gr : float\n",
        "        The z-position for the Si grating structure.\n",
        "\n",
        "    Returns\n",
        "    -------\n",
        "    td.Simulation\n",
        "        Tidy3D simulation object.\n",
        "    \"\"\"\n",
        "    # Create the SiN grating structure using optimal width and period\n",
        "    gratings_SiN = make_2D_SiN_grating(best_w_gc, best_p_gc)\n",
        "\n",
        "    # Create the Si grating structure using optimal width, period, and the given z-position\n",
        "    gratings_Si = make_2D_Si_grating(best_w_gr, best_p_gr, z_gr)\n",
        "\n",
        "    # Define the silicon substrate structure\n",
        "    substrate = td.Structure(\n",
        "        geometry=td.Box.from_bounds(\n",
        "            rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, -z_gr - t_box)\n",
        "        ),\n",
        "        medium=Si,\n",
        "    )\n",
        "\n",
        "    # Calculate the SiN grating length\n",
        "    l = best_p_gc * n_gc\n",
        "\n",
        "    # Simulation domain box\n",
        "    sim_box = td.Box.from_bounds(\n",
        "        rmin=(-lda0, 0, -z_gr - t_box - lda0), rmax=(l + lda0, 0, t_SiN + t_clad + lda0)\n",
        "    )\n",
        "\n",
        "    # Construct the simulation object\n",
        "    sim = td.Simulation(\n",
        "        center=sim_box.center,\n",
        "        size=sim_box.size,\n",
        "        grid_spec=grid_spec,\n",
        "        run_time=run_time,\n",
        "        structures=[oxide_layer, gratings_SiN, gratings_Si, waveguide, substrate],\n",
        "        sources=[gaussian_beam],\n",
        "        monitors=[mode_monitor],\n",
        "        boundary_spec=boundary_spec,\n",
        "    )\n",
        "    return sim"
      ],
      "id": "55dbadcf"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize and verify the simulation setup."
      ],
      "id": "d5d19bc2-5b42-40ee-ab71-f9db6e9c771a"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AAEBuYfxnvWwnHM1KWK5cuVLV1dUdflmtsLBQ0v8Slx1p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\nqU6LzgoAAAAAcgvjP+sxwxJWsyRh+be//U2S9O1vf1vPPPMMfyzICLM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Lt+nxXY3f4/FY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\nA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          }
        }
      ],
      "source": [
        "sim = make_2D_full_grating_sim(2)\n",
        "\n",
        "sim.plot_eps(y=0)\n",
        "plt.show()"
      ],
      "id": "fbec55d7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we perform parameter sweep of the interlayer distance to maximize\n",
        "the coupling efficiency."
      ],
      "id": "a9e078d2-42f6-405e-bf80-7d42ca69ab8f"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:06:38 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">21</span> Simulations                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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a2uCtcc9hZt9x+GjrN/jjjHiL9tLyMny3/1dsiNiJ10c9jVl9x8HUhL+miEj3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\nOCMZBgAA/IpZHSWLKvcYxulxKR65DwAAviYnaaB75knOdMs8g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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "# Design parameter and bound\n",
        "params = [\n",
        "    tdd.ParameterFloat(name=\"z_gr\", span=(1, 2), num_points=21),\n",
        "]\n",
        "\n",
        "# Perform parameter sweep\n",
        "design_space = tdd.DesignSpace(method=method, parameters=params, path_dir=\"./data\")\n",
        "results = design_space.run(make_2D_full_grating_sim, coupling_efficiency)\n",
        "\n",
        "# Plot the coupling efficiency as a function of z_gr\n",
        "df = results.to_dataframe()\n",
        "plt.plot(df[\"z_gr\"], df[\"coupling efficiency\"], marker=\"o\")\n",
        "plt.xlabel(\"z_gr\")\n",
        "plt.ylabel(\"Coupling efficiency (dB)\")\n",
        "plt.grid(True)\n",
        "plt.show()\n",
        "\n",
        "# Extract the best z_gr\n",
        "best_row = df.loc[df[\"coupling efficiency\"].idxmax()]\n",
        "best_z_gr = best_row[\"z_gr\"]\n",
        "df.sort_values(by=\"coupling efficiency\", ascending=False)"
      ],
      "id": "d97223f0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the coupling efficiency spectrum for the current best design. A\n",
        "peak coupling efficiency of ~1.5dB is achieved."
      ],
      "id": "9e6d1265-5d72-426a-badf-a39d8c7a23f2"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:07:03 UTC </span>Loading simulation from local cache. View cached task using web UI \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>at                                                                 \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-5b227a0b-de10-4a6c-970a-0735e741d45f\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-5b227a0b-de1</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-5b227a0b-de10-4a6c-970a-0735e741d45f\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">0-4a6c-970a-0735e741d45f'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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bktSoUSP17NlT/v7+2rVrl4YPH67ly5fr6NGjcnV11erVq9WoUaO/Hf/w4UM1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          }
        }
      ],
      "source": [
        "sim = make_2D_full_grating_sim(best_z_gr)\n",
        "sim_data = web.run(sim, \"Optimized 2D uniform grating\")\n",
        "ce = 20 * np.log10(np.abs(sim_data[\"mode\"].amps.sel(mode_index=0, direction=\"-\").values))\n",
        "plt.plot(ldas, ce, linewidth=3)\n",
        "plt.ylim(-5, 0)\n",
        "plt.grid()\n",
        "plt.xlabel(\"Wavelength (µm)\")\n",
        "plt.ylabel(\"Coupling efficiency (dB)\")\n",
        "plt.show()"
      ],
      "id": "f4281510"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Inverse Design Optimization of the SiN Grating\n",
        "\n",
        "Finally, we perform gradient-based optimization (inverse design) to fine\n",
        "tune the grating. This allows each tooth width and spacing to vary\n",
        "independently, matching the mode profile of the fiber for maximum\n",
        "coupling efficiency."
      ],
      "id": "f71734d9-0f4e-4c15-a80e-d6c591f881d2"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_2D_apodized_grating_sim(design_params: np.ndarray) -> td.Simulation:\n",
        "    \"\"\"\n",
        "    Creates a 2D Tidy3D simulation for an aperiodic grating coupler.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    design_params : list[float]\n",
        "        A list of widths defining the grating structure.\n",
        "        Even indices (0, 2, ...) correspond to etched widths.\n",
        "        Odd indices (1, 3, ...) correspond to SiN tooth widths.\n",
        "\n",
        "    Returns\n",
        "    -------\n",
        "    td.Simulation\n",
        "        Tidy3D simulation object.\n",
        "    \"\"\"\n",
        "\n",
        "    widths_SiN = design_params[1::2]  # SiN tooth widths\n",
        "    widths_void = design_params[::2]  # Etched widths\n",
        "\n",
        "    # Create SiN grating geometries from the given widths\n",
        "    gratings = 0\n",
        "    center = 0\n",
        "    for width_SiN, width_void in zip(widths_SiN, widths_void):\n",
        "        center += width_void + width_SiN / 2  # Update center position\n",
        "        size = width_SiN\n",
        "        gratings += td.Box(center=(center, 0, t_SiN / 2), size=(size, td.inf, t_SiN))\n",
        "        center += width_SiN / 2  # Update center position\n",
        "\n",
        "    gratings_SiN = td.Structure(geometry=gratings, medium=SiN)\n",
        "\n",
        "    # Create Si grating reflector structure\n",
        "    gratings_Si = make_2D_Si_grating(best_w_gr, best_p_gr, z_gr=best_z_gr)\n",
        "\n",
        "    # Create Si substrate structure\n",
        "    substrate = td.Structure(\n",
        "        geometry=td.Box.from_bounds(\n",
        "            rmin=(-inf_eff, -inf_eff, -inf_eff),\n",
        "            rmax=(inf_eff, inf_eff, -best_z_gr - t_box),\n",
        "        ),\n",
        "        medium=Si,\n",
        "    )\n",
        "\n",
        "    l = 16  # Fix simulation domain size in the x direction\n",
        "\n",
        "    # Define simulation domain box\n",
        "    sim_box = td.Box.from_bounds(\n",
        "        rmin=(-lda0, 0, -best_z_gr - t_box - lda0),\n",
        "        rmax=(l + lda0, 0, t_SiN + t_clad + lda0),\n",
        "    )\n",
        "\n",
        "    # Create a Tidy3D simulation\n",
        "    sim = td.Simulation(\n",
        "        center=sim_box.center,\n",
        "        size=sim_box.size,\n",
        "        grid_spec=grid_spec,\n",
        "        run_time=run_time,\n",
        "        structures=[oxide_layer, gratings_SiN, gratings_Si, waveguide, substrate],\n",
        "        sources=[gaussian_beam],\n",
        "        monitors=[mode_monitor],\n",
        "        boundary_spec=boundary_spec,\n",
        "    )\n",
        "    return sim"
      ],
      "id": "9bfa1f58"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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YwmoULJEU7d1pZ8rOujXtjT/TP6yEtfdDC/ETP/FXRu4TP/ETP/Fn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          }
        }
      ],
      "source": [
        "design_params0 = np.array([best_w_gc, best_p_gc - best_w_gc] * n_gc)\n",
        "sim = make_2D_apodized_grating_sim(design_params0)\n",
        "\n",
        "sim.plot_eps(y=0)\n",
        "plt.show()"
      ],
      "id": "44ce581b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Define the objective function, which is the coupling efficiency at 1550\n",
        "nm."
      ],
      "id": "e41b07c8-a4c6-46e4-941e-eba7554771ef"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [],
      "source": [
        "def J(design_params: np.ndarray) -> np.ndarray:\n",
        "    \"\"\"\n",
        "    Compute the coupling efficiency (CE) for a given set of design parameters.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    design_params: np.ndarray\n",
        "        A 1D numpy array containing the design parameters for the grating.\n",
        "\n",
        "    Returns\n",
        "    -------\n",
        "        The coupling efficiency\n",
        "    \"\"\"\n",
        "\n",
        "    sim = make_2D_apodized_grating_sim(design_params)\n",
        "    sim_data = web.run(sim, task_name=\"GC_invdes\", verbose=False)\n",
        "\n",
        "    # Extract the complex amplitude of the desired mode at frequency freq0.\n",
        "    amp = sim_data[\"mode\"].amps.sel(mode_index=0, f=freq0, direction=\"-\").values\n",
        "\n",
        "    # Coupling efficiency is the squared magnitude of the amplitude.\n",
        "    ce = np.abs(amp) ** 2\n",
        "\n",
        "    return ce"
      ],
      "id": "b388ade3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Before actually running the inverse design loop, we first test the\n",
        "gradient calculation to ensure it works well."
      ],
      "id": "44a86ee0-f90b-4459-8429-7851288231d9"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.7292877642344628\n",
            "[ 0.16406674  0.42649501  0.42596188  0.40840197  0.46375963  0.25604872\n",
            "  0.12277626  0.06794842 -0.17968567 -0.16617784 -0.08171134 -0.09261915\n",
            " -0.01879765 -0.02487481 -0.08016497 -0.09442014 -0.08307747 -0.09380876\n",
            " -0.0446406  -0.05203358 -0.05839955 -0.06655634 -0.06125648 -0.06414531\n",
            " -0.02985224 -0.03444366 -0.00383075 -0.00388482]"
          ]
        }
      ],
      "source": [
        "dJ = ag.value_and_grad(J)\n",
        "val, grad = dJ(design_params0)\n",
        "print(val)\n",
        "print(grad)"
      ],
      "id": "a15d0922"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we iteratively improve the design. Here we use Tidy3D’s built-in\n",
        "Adam helper."
      ],
      "id": "90869d85-8374-4f92-bfe4-968099eae1e0"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 1\n",
            "    J = 7.293e-01\n",
            "step = 2\n",
            "    J = 7.376e-01\n",
            "step = 3\n",
            "    J = 7.451e-01\n",
            "step = 4\n",
            "    J = 7.468e-01\n",
            "step = 5\n",
            "    J = 7.465e-01\n",
            "step = 6\n",
            "    J = 7.462e-01\n",
            "step = 7\n",
            "    J = 7.464e-01\n",
            "step = 8\n",
            "    J = 7.465e-01\n",
            "step = 9\n",
            "    J = 7.486e-01\n",
            "step = 10\n",
            "    J = 7.513e-01\n",
            "step = 11\n",
            "    J = 7.537e-01\n",
            "step = 12\n",
            "    J = 7.549e-01\n",
            "step = 13\n",
            "    J = 7.567e-01\n",
            "step = 14\n",
            "    J = 7.561e-01\n",
            "step = 15\n",
            "    J = 7.578e-01\n",
            "step = 16\n",
            "    J = 7.587e-01\n",
            "step = 17\n",
            "    J = 7.597e-01\n",
            "step = 18\n",
            "    J = 7.607e-01\n",
            "step = 19\n",
            "    J = 7.614e-01\n",
            "step = 20\n",
            "    J = 7.621e-01\n",
            "step = 21\n",
            "    J = 7.628e-01\n",
            "step = 22\n",
            "    J = 7.631e-01\n",
            "step = 23\n",
            "    J = 7.636e-01\n",
            "step = 24\n",
            "    J = 7.637e-01\n",
            "step = 25\n",
            "    J = 7.653e-01\n",
            "step = 26\n",
            "    J = 7.663e-01\n",
            "step = 27\n",
            "    J = 7.669e-01\n",
            "step = 28\n",
            "    J = 7.667e-01\n",
            "step = 29\n",
            "    J = 7.666e-01\n",
            "step = 30\n",
            "    J = 7.667e-01\n",
            "step = 31\n",
            "    J = 7.674e-01\n",
            "step = 32\n",
            "    J = 7.682e-01\n",
            "step = 33\n",
            "    J = 7.688e-01\n",
            "step = 34\n",
            "    J = 7.708e-01\n",
            "step = 35\n",
            "    J = 7.716e-01\n",
            "step = 36\n",
            "    J = 7.716e-01\n",
            "step = 37\n",
            "    J = 7.721e-01\n",
            "step = 38\n",
            "    J = 7.723e-01\n",
            "step = 39\n",
            "    J = 7.724e-01\n",
            "step = 40\n",
            "    J = 7.731e-01\n",
            "step = 41\n",
            "    J = 7.739e-01\n",
            "step = 42\n",
            "    J = 7.751e-01\n",
            "step = 43\n",
            "    J = 7.767e-01\n",
            "step = 44\n",
            "    J = 7.770e-01\n",
            "step = 45\n",
            "    J = 7.775e-01\n",
            "step = 46\n",
            "    J = 7.777e-01\n",
            "step = 47\n",
            "    J = 7.788e-01\n",
            "step = 48\n",
            "    J = 7.803e-01\n",
            "step = 49\n",
            "    J = 7.819e-01\n",
            "step = 50\n",
            "    J = 7.819e-01\n",
            "step = 51\n",
            "    J = 7.821e-01\n",
            "step = 52\n",
            "    J = 7.841e-01\n",
            "step = 53\n",
            "    J = 7.856e-01\n",
            "step = 54\n",
            "    J = 7.857e-01\n",
            "step = 55\n",
            "    J = 7.861e-01\n",
            "step = 56\n",
            "    J = 7.883e-01\n",
            "step = 57\n",
            "    J = 7.893e-01\n",
            "step = 58\n",
            "    J = 7.899e-01\n",
            "step = 59\n",
            "    J = 7.915e-01\n",
            "step = 60\n",
            "    J = 7.921e-01\n",
            "step = 61\n",
            "    J = 7.948e-01\n",
            "step = 62\n",
            "    J = 7.957e-01\n",
            "step = 63\n",
            "    J = 7.960e-01\n",
            "step = 64\n",
            "    J = 7.971e-01\n",
            "step = 65\n",
            "    J = 8.000e-01\n",
            "step = 66\n",
            "    J = 8.011e-01\n",
            "step = 67\n",
            "    J = 8.012e-01\n",
            "step = 68\n",
            "    J = 8.028e-01\n",
            "step = 69\n",
            "    J = 8.039e-01\n",
            "step = 70\n",
            "    J = 8.051e-01\n",
            "step = 71\n",
            "    J = 8.065e-01\n",
            "step = 72\n",
            "    J = 8.074e-01\n",
            "step = 73\n",
            "    J = 8.090e-01\n",
            "step = 74\n",
            "    J = 8.090e-01\n",
            "step = 75\n",
            "    J = 8.104e-01\n",
            "step = 76\n",
            "    J = 8.104e-01\n",
            "step = 77\n",
            "    J = 8.127e-01\n",
            "step = 78\n",
            "    J = 8.128e-01\n",
            "step = 79\n",
            "    J = 8.126e-01\n",
            "step = 80\n",
            "    J = 8.138e-01"
          ]
        }
      ],
      "source": [
        "# Hyperparameters\n",
        "num_steps = 80\n",
        "learning_rate = 0.005\n",
        "min_feature = 0.1\n",
        "# Initialize the adam optimizer with starting parameters\n",
        "params = design_params0\n",
        "optimizer = adam(learning_rate=learning_rate)\n",
        "opt_state = optimizer.init(params)\n",
        "\n",
        "# Store history\n",
        "J_history = []\n",
        "params_history = []\n",
        "\n",
        "for i in range(num_steps):\n",
        "    # Compute gradient and current objective function value\n",
        "    value, gradient = dJ(params)\n",
        "\n",
        "    # Outputs\n",
        "    print(f\"step = {i + 1}\")\n",
        "    print(f\"\\tJ = {value:.3e}\")\n",
        "\n",
        "    # Compute and apply updates to the optimizer based on gradient\n",
        "    updates, opt_state = optimizer.update(-gradient, opt_state, params)\n",
        "    params[:] = apply_updates(params, updates)\n",
        "    params = np.clip(params, a_min=min_feature, a_max=None)\n",
        "\n",
        "    # Save history\n",
        "    J_history.append(value)\n",
        "    params_history.append(params.copy())"
      ],
      "id": "f66dd162"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After the optimization, we can plot the objective function history to\n",
        "visualize the progress."
      ],
      "id": "0a9c7a01-8ce0-4d81-a4b8-f73573f482f5"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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cLOnfHfN///13nT17Ns3Cyois93bvBwAAAIDcaOjQoanKKmdnZ82cOVP9+vWT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q2SJHd3dydXAqAwoqKiNGbMGJt1jRs31j//+U8nVQQAAAAAKKlcMrCyWq2KiYmRJFWoUMHJ1QAo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\nvRUSEiJvb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          }
        }
      ],
      "source": [
        "plt.plot(J_history, c=\"black\")\n",
        "plt.xlabel(\"Iterations\")\n",
        "plt.ylabel(\"Objective function (coupling efficiency)\")\n",
        "plt.show()"
      ],
      "id": "1ea700cb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the final design."
      ],
      "id": "fc863658-83bb-40aa-be0f-dad9c77c0f1d"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AALIOCUsAAABkzAcffCCv1yufz6cxY8botddek9R0Cu7VV1+d4d7BLvvss09i\nl+yrr746cUmAXNTQ0KDrrrtOknTmmWdq3Lhxme0QAABZyL4LOAEAAACtNN9oprnLLrtMO++8cwZ6\nhEx5/PHHNXPmTEn2bYqVCYWFhVq6dKkk5dW1SgEA6Ijc/SQAAAAAR/F6vRozZox+8Ytf6Oyzz850\nd2Cz+KZD+SBf4gQAoLPYdAcAAAAZFYlEJJHEQdvi7xOXy8XKRABAVjEMQ999953mzp2r1atXS5LG\njh2rgw8+OK3nB4NBffbZZ1q5cqVWr14twzDUp08fTZgwQQMHDrSy61mLT4UAAADIKBKVSAfvEwBA\ntrn77rv1/PPPa968edq8eXOLx84444x2E5ZPPfWU7r33Xs2ZM0eNjY1JyxxwwAGaPn26xowZY1q/\nnYBRHwAAAAAAAOigJ554Qh988IFcLpdGjRqlcePG6fHHH0/7+a+++qrefvttSVJRUZH23ntvDR8+\nXC6XS3PnztXcuXP1xhtvaNddd9Wrr76qSZMmWRRJ9iFhCQAAAAAAAHTQBRdcoOuuu0677babysrK\n1NjY2KGEpSQNGzZMl112mU4++WQVFha2eOyll17SlClT1NDQoBNOOEELFixQaWmpmSFkLXemOwAA\nAAAAAAA4zfHHH68DDjhAZWVlnXr+ueeeq2+//VZnn332VslKSTr88MP1+9//XpK0evVqPf/8813q\nr5OQsAQAAAAAAABsNmHCBPn9/jbLHHvssYnbH3/8sdVdyhokLAEAAAAAAIAsVFBQkLjd0NCQwZ7Y\ni2tYoksikYiWL18uSerWrZvcbnLgAAAAAACYKRaLJXahHjhwoLxe69M5sVhMNTU1lrdjp7KyMsfl\nLebNm5e4vc0222SuIzYjYYkuWb58uYYOHZrpbgAAAAAAkBeWLFmiIUOGWN5OTU2NKisrLW/HTkuW\nLFF5eXnKxysqKuzrTJpuu+22xO0jjjgigz2xFwlLmOLyyy+Xx+PJdDeScrvdcrlcifuGYSgWi3W4\njNkMw1AkEkl8S2YVj8cjn8+XuB8OhxWNRjtcxqmIn/iJn/jjiJ/4iZ/4O1rGqYif+J0Qf7du3eT1\nelvMw8yQrfM/s9x4442Z7oKjtbfgyjAMm3qSnvvuu09vv/22JOm4447TDjvskNkO2YiEJbqkW7du\nkpoGPL/fb/pgY5ZkB514X9t6zMr+uN1ueTwe9enTx9K2pKZT90OhUOK+3+9PnELQ1mO5gviJn/iJ\nP474iZ/4ib+9x3IF8RN/tsff2NioaDSqWCxm+vwr2+Z/ZoknlePzcOS2Dz/8UL/85S8lSX369NHd\nd9+d4R7ZK7eOyrBd82s/uFwuFRUVZbA3bQuFQgqHw4n78UG5+d98Pl+7O3SZIRgMyuPxqKCgQL17\n97a8PUmqq6tTdXV14n58kKuurk5cxLe8vFzFxcW29MduxE/8xF+duE/8xC8RP/ETP/ETv0T8mYx/\n7dq1iaRlIBAwvf5smv+ZIRaLqba2VpIydg1GpyR2W2uepG7vlPBssWDBAh1xxBEKhUIqLCzUs88+\nq549e2a6W7YiYYm8ER+I4gNU84FKctZg1RnxDyLxDy3NP7xIuf1hTSJ+4id+ifiJv7rF7zjiJ37i\nJ/5cRfz5HX++z//M5nK5HJuwlP6XtCwvL8/K61Q2t2zZMh144IHasGGDfD6fnnvuOU2cODHT3bId\nCUvkldaDVly+DFatP7TE5fqHlTjiJ36J+Im/usXfiZ/4iZ/4cx3xE7+Uv/Hn+/zPTLmSsMx2a9as\n0f7776/ly5fL4/Ho8ccf18EHH5zpbmWEs/ZyBwAAAAAAAHLMhg0bdMABB2jRokVyu916+OGHdeyx\nx2a6WxnDCkvkldbXMYmL/y3Xv2VrfR2buPjfcv1bVuInfuKv3urvxN/0N+In/lxG/MRP/NVb/Z34\nm/6W6/Hn+/zPTE5fYZntampq9JOf/ETffPONXC6X7r33Xp188smZ7lZGkbBE3mg9WPl8PklbX9Mk\nVwet1h9W4hcabn1Nm1z90EL8xE/81Yn7xF8uifiJv7rFb+In/lxE/MSfz/Hn+/zPbCQsrVNbW6uD\nDz5Yn332mSTpjjvu0FlnnZXhXmUeCUvkhWSDVfOBKdcHrWQfVpp/MMn1Dy3ET/zEX524T/zET/zE\nH0f81S1+Ez/x55J8jz/f539wjsbGRh155JH68MMPJUm33HKLLrjgggz3KjuQsETOa2+wSrV7XK4M\nWu19WEm1e2CufGghfuIn/urEfeInfuIn/jjiJ36J+Im/usXvXIk/3+d/VmGFZXJffvmlZs2albgf\niURaPPbHP/4xcd/v9+v//u//Wjz//PPP17///W9J0qhRoxSJRFo8p7VtttlGxx9/vFndz2okLJHT\n2hus4nJ10Grvw0pcrn5oIX7iJ/7qxH3iJ37iJ/7WiJ/4JeIn/uoWv50ef77P/6xEwjK5uXPn6sor\nr0z62Lx58zRv3rzE/eLi4q0SlkuWLEncXrBgQcq64vbff38SloDTpTtYxeXaoJXuh5W4XPvQQvzE\nT/zVifvET/zET/ypED/xS8RP/NUtfjs1/nyf/yEzxo4dq8svvzytsoFAYKu/nXjiiZowYULa7Y0Y\nMSLtsk5HwhI5qaODVVyuDFod/bASlysfWoif+Im/OnGf+Imf+Im/PcRP/BLxE391i99Oiz/f5392\nYIVlcrvttpt22223Tj//7LPPNrE3uYWEJXJOZwerOKcPWp39sBLn9A8txE/8xF+duE/8xE/8xJ8u\n4id+ifiJv7rFb6fEn+/zP7uQsITd3JnuAGCmrg5WcX6/Xz6fL3E/HA4rFAqZ0kcrdfXDSlxxcbHK\ny8sT96urq1VXV2dCD61F/MRP/NWJ+8RP/MRP/B1F/MRP/OWJ+8TvjPjzff4H5DJWWCJnmDVYxTnt\nmzazPqzEOe2bVuInfuKvTtwnfuInfuLvLOInfon4ib+6xe9sjT/f5392Y4Ul7EbCEjnB7MEqzimD\nltkfVuKc8qGF+Imf+KsT94mf+Imf+LuK+IlfIn7ir27xO9viz/f5XyaQsITdOCUcjmfVYBWX7acH\nWPVhJS7bTw8hfuIn/urEfeInfuInfrMQP/ETf3niPvFnV/z5Pv8D8gUrLOFoVg9Wcdn6TZvVH1bi\nsvWbVuInfuKvTtwnfuInfuI3G/ETv0T8xF/d4nem48/3+V8mVziywhJ2I2EJx7JrsIrLtkHLrg8r\ncdn2oYX4iZ/4qxP3iZ/4iZ/4rUL8xC8RP/FXt/idqfjzff4XDodJWCKvkLCEI9k9WMVly6Bl94eV\nuGz50EL8xE/81Yn7xE/8xE/8ViN+4peIn/irW/y2O/58n/+FQiFFIhFb22yNhCXsxjUsYQq32763\nUqYGq7hMX9MkUx9W4jJ9TRviJ37ir07cJ37iJ37itwvxEz/xlyfuE7+98ef7/K91/EC+YIUlTOFy\nuWQYhuXtZHqwisvUN22Z/rASl6lvWomf+Im/OnGf+Imf+InfbsRP/BLxE391i99W9yXf53+t47dj\nzp0KKyxhNxKWMFUoFLLsoJ0tg1Wc3YNWtnxYibP7QwvxEz/xVyfuEz/xEz/xZwrxE79E/MRf3eK3\nVX3K9/lf6/i9Xq+CwaAlbaXLqQnLTCZ60XmcEg5TWbU8PtsGqzi7Tg/Itg8rcXadHkL8xE/81Yn7\nxE/8xE/8mUb8xE/85Yn7xG9N/Pk+/0sWf/N2gXzACkuYovk3FmZ/05Stg1Wc1d+0ZeuHlTirv2kl\nfuIn/urEfeInfuIn/mxB/MQvET/xV7f4bVYf833+lyr+WCxmSv2d5eRTwp3a73xHwhKmaH3wNOug\nne2DVZxVg1a2f1iJs+pDC/ETP/FXJ+4TP/ETP/FnG+Infon4ib+6xe+u9jXf53/ZHD8JS9iNU8Jh\nGpfLZery+Gw+WCdj9ukBTvmwEmf26SHET/zEX524T/zET/zEn62In/iJvzxxn/i7Fn++z/+cFj9g\nNVZYwlRmfdPk1IO1WfE77cNKnFnftBI/8RN/deI+8RM/8RN/tiN+4peIn/irW/zuaN/zff7nhPhZ\nYQm7kbCE6bp60HbCwbotXY3fqR9W4rr6oYX4iZ/4qxP3iZ/4iZ/4nYL4iV8ifuKvbvE73RhisViL\nS4zl2/zPKfNfEpawG6eEwxKdXR7vlIN1ezobv9M/rMR19vQQ4id+4q9O3Cd+4id+4nca4id+4i9P\n3Cf+9OKPRCKOTlbG5fv8F7ACKyxhmY5+05RrB+uOxp8rH1biOvpNK/ETP/FXJ+4TP/ETP/E7FfET\nv0T8xF/d4neqmMLhcE4kK+Nyff7LCkvYjYQlLJXuQdtpB+t0pYq/tVz7sBKX7ocW4id+4q9O3Cd+\n4id+4nc64id+ifiJv7rF72TxN1+BmOvzv1yY/5KwhN04JRyWa295vBMP1h2RLP7m3yTm6oeVuPZO\nDyF+4if+6sR94id+4if+XEH8xE/85Yn7xN92/G63O+fnf/k0/wXMwgpL2KKtlYb5cLBuHX8sFlMk\nElE4HM7pDytxqb5pbX2b+Imf+Ik/1xA/8UvET/zVLX63vk38xJ/P8bvd7pxc/ZaL819WWMJuJCxh\nm/ZOj3bSwbozkiUtQ6GQAoGApNz9sBLX1ocWifiJn/iJn/hzFfETv0T8xF/d4ncc8ed3/H6/X9Fo\nVNFo1Oae2SPX5r8kLGE3EpawVeuDdpzTDtadlSr+XP+wEtf6Q0sc8RM/8RN/riN+4peIn/irW/yd\n+Ik/3+Ovra3N2WRlXC7Nf0lYwm5cwxIAAAAAAABA1mCFJWzV+gLDcal2T8s1qeKPf+OY69+ytr7A\ndhzxN/2N+Ik/lxE/8RN/9VZ/J/6mvxE/8ecy4k8dv2EY9nfIZrk0/2WFJexGwhKmMQxDwWAw5eOx\nWKzF7thutzvxd6npoB2NRhN/zzWt44+Lv2Zr165VIBCQ15ub/y0jkUiL90f82p3ET/wS8RM/8RM/\n8RM/8eci4if+tuJvfjp4W/NIpzJ7/msYRkYTbyQsYbfcPDLCdoZhyO12y+PxJH08Go22OMB6PJ5E\n2eYXWo5/y5aqHqdqHb/UFKPP51NxcfFWO8Xl2oeWSCQiSYm4msdYWFhI/MSfKEv8xE/8xJ9LiJ/4\nJeInfuKXksff0NCQeB1yff5nxvw31QIYIFfl1lERGROJROTxeFRQUJD0sWg0mjgIJ/sWsfW3b16v\nN2cG7WTxh8NheTwelZSUaPDgwRnuIQAAAADY68cff1RNTY3C4XDOz//MmP/GYjFt2bLF/A6niRWW\nsFtuHBGQcZs3b1afPn3Uu3fvFn+PX7Mkvvy/rd3wWl/fpKSkxPHXdEkV/9q1a1VYWKgBAwbo0EMP\nzXAvAQAAAMBer7zyir7//vvEqsFcnv+1VTauvfhDoZCWLVtman87goQl7JabFwtEVmh9AG7rYC01\nXXC6vLw8cb+6ulp1dXUW9tBaHY0fAAAAAPKJz+dL3M63+V+uzX8Bs7HCEpbobLIuXib+XKfunkey\nEgAAAADa5vV6E6sRpfyb/zlp/ssKS9iNhCVM19VknZMO2smQrAQAAACA9Hi9XpWUlOTt/M9J818S\nf7ATp4TDVGYl65y6PJ5kJQAAAAB0TL7P/5waP2AlVljCNJFIxNRknZO+aZJIVgIAAABAZ+X7/C/b\n4+eUcNiNhCVM4fF4FAqFVFBQIMm8ZF22H7TjSFYCAAAAQNfk+/wvm+MnYQm7kbCEKZrv7mZ2si6b\nD9oSyUoAAAAAMEu+z/9Sxd98zg3kAxKWMJVVybpsHbRIVgIAAACAufJ9/pcs/pKSEtPb6QhWWMJu\nJCxhGr/fb+kAkm2DFslKAAAAALBGvs//Wse/efPmjK6yJGEJu7FLOEwRDofl9Vqf/86W3dNIVgIA\nAACAtfJ9/tc6/kAgYHmbQLZghSVMEY1GbWsr09+0kawEAAAAAHvk+/wv3lZVVZVtbSbDCkvYjYQl\nHClTg1amBysAAAAAyDf5Pv8rLi5WJBLR5s2bbW87joQl7EbCEo5l96CVLYMVAAAAAOSbfJ//FRYW\nKhgMZqx9EpawG9ewhKPZdU2TbBusAAAAACDf5Pv8LxwOZ7oLgG1YYQnHs/qbtmwdrAAAAAAg3zD/\nywxWWMJuJCyRE6watBisAAAAACC7MP+zHwlL2I2EJXKG2YMWgxUAAAAAZCfmf8gWK1as0EcffaS5\nc+dq7ty5Wr16tSTpuOOO0+9///u066mrq9Pf//53vfLKK1qxYoUCgYBGjBih448/XgcffLBV3c9a\nJCzbYRiGqqqqtHr1ahmGoT59+qhnz56WtVdVVaWVK1cqEAho4MCBKiwszEgdTmXWoMVgBQAAAADZ\njfmffVhhmdyhhx6qWbNmJX0snrhMx5dffqljjjlGixYtavH3Dz/8UI8++qgOP/xwPfHEE3n1vmTT\nnSS++OILXX/99dp3331VVFSkHj16aIcddtCOO+6oXr16adiwYbrhhhvU0NBgWpuzZ8/Wnnvuqe7d\nu2vHHXfUqFGjVFlZqalTp2rp0qW21ZELunohZgYrAAAAAHAG5n/2iCcsnfpjlc2bN6t///466qij\ndNNNN+nVV1/tcB2rVq3SwQcfrEWLFqlbt27685//rHnz5untt9/WGWecIUl66aWXdPzxx5vd/azG\nCssk/vKXv2jGjBmJ+yUlJRo8eLBcLpcWLFigJUuW6Oqrr9Zjjz2mN954Q/379+9Se7fccosuu+wy\nSZLP59PIkSNVV1enpUuX6umnn9arr76qN954Q+PHj7e0jlzS2W/aGKwAAAAAwFmY/yFTXnnlFXXr\n1i1xv7GxscN1XHXVVVq1apW8Xq9mz56tCRMmJB6bNGmSBgwYoOuvv14vv/yynnvuOR1zzDGm9D3b\nscIyBa/XqxNOOEFvv/22Nm3apK+//lpfffWV1q9fr//7v/+TJH333Xc66qijFIvFOt3O66+/rssv\nv1yStP/+++vHH3/U119/rR9++EHvvfee+vbtqy1btuiII45QTU2NZXXkoo5+08ZgBQAAAADOxPzP\nWpleIZmtKyybJys7Y+3atZo5c6Ykadq0aS2SlXFXX321+vXrJ6lpsVq+IGGZxOTJk/XVV1/p8ccf\n16RJk+T1/m8hallZmW699VadddZZkqR58+bpX//6V6fbuuSSS2QYhgYMGKDnn39effv2TTy21157\n6cknn5TU9Ca++eabLasjV6U7aDFYAQAAAICzMf+zTqYTjtmasOyqf/7zn4lFcD//+c+TlvF6vYnT\nwefOnauVK1fa1r9MImGZxKmnnqrRo0e3WebCCy9M3H777bc71c7HH3+sL7/8UpL0y1/+UqWlpVuV\n2WeffbT33ntLkh555BEZhmF6HbmuvUGLwQoAAAAAcgPzPzjJhx9+KKkpKbn77runLLfXXntJatoY\n+qOPPrKlb5lGwrKT4stxJWnjxo2dquPll19O3D788MNTlos/tmrVKn366aem15EPUg1aDFYAAAAA\nkFuY/5kv0yskc3WF5fz58yVJAwYMUGFhYcpyw4cPT9z+9ttvLe9XNmDTnU5auHBh4navXr06VccX\nX3whqWlTn7ZWdO62224tnjNu3DhT68gXqS7EHMdgBQAAAAC5gfmf+bI58Zeu1u+D1ioqKuzpyH+t\nWbNGklpc2i+Z5o+vXbvW0j5lCxKWnfTAAw8kbu+3336dquP777+XJA0ePLjNcs0fb54oNauOfNJ6\n0IpjsAIAAACA3ML8D60NHTq0zcftvoRebW2tJLW5ulKSioqKtnpOriNh2QkffPCBZsyYIUnaZZdd\ndMABB3Sqnk2bNkmSKisr2yzXPMPf+kBrRh3tibeRTEfrAgAAAAAAzpLtp1a3JZv7HY1GJUlud9tX\nbPR4PInbkUjE0j5lCxKWHbRmzRpNmTJFsVhMfr9fDzzwQKff/PEL/xYUFLRZrnmmvfUOZ2bU0Z72\nkqFO0vqaJXHxv/EtGwAAAADkBuZ/5smVhOWSJUtaXN8004qLi1VdXa3GxsY2yzU0NCRul5SUWN2t\nrEDCsgNqa2t1+OGHa9WqVZKk6dOna5dddul0fV5v08sfz6in0jx7Hn+OmXXki2QXWJa2vqYJgxYA\nAAAAOBvzP3PlSsKyvLzc9utUtqWiokIrV65sdzPn5o9nU/+tlJ+Zq04IBoM68sgj9fHHH0uSrrvu\nOp177rldqrO0tFQbN25UfX19m+WaP15aWmp6He2pqqpK+Vh1dXW714DIBu3tBsegBQAAAAC5gfkf\nnGLUqFH6+uuvtWzZMhmGkTIpvHTp0hbPyQdtnyQPSU2rE6dMmaJ///vfkqSLLrpI1157bZfrje/y\nFF+xmUrzx1vvHGVGHe2pqKhI+ZNNS6lTaW+wKi4ubhFHdXV1h0+bBwAAAABkHvM/a8RXWDr1J1vt\ntNNOkpret998803KcnPnzt3qObmOhGU7YrGYfv7zn+vFF1+UJJ177rm67bbbTKl72223lSStXLmy\nzQNkfCfw5s8xs45c1t5gFcegBQAAAADOxvzPOplOOOZqwvLwww9P3P7nP/+ZstwLL7wgSRo0aJDG\njh1rdbeyAgnLNhiGoTPOOENPPfWUJGnatGn661//alr9e+21l6Sm609++OGHKcu9++67kpp2jdpj\njz1MryNXpTtYxTFoAQAAAIAzMf+DE40dO1bjx4+XJN15551JL8k3e/bsxArLM88809b+ZRIJyzZc\ncMEFeuSRRyRJxx9/vP72t7+Zmpk/4ogjEhvgxNtpLRgMJhKmEydOVO/evU2vIxd1dLCKY9ACAAAA\nAGdh/me9TK+QzNUVlpL05z//WR6PR2vXrtWhhx7a4gzZV155RSeeeKKkptWVF110Uaa6aTsSlilc\nfvnlidWURx99tGbOnCm3u2Mv1xdffKE5c+YkNupprXv37ons+BNPPJG4RmZzV111ldatWydJuuKK\nKyypI9d0drCKY9ACAAAAAGdg/mePTCccszVh+eyzz2r06NGJn+ana7d+bNy4cUnr2HvvvXX33XfL\n7XZrzpw5GjVqlAYOHKjKykoddthhqqqqUo8ePfTyyy+rpKTEsliyDbuEJ3HzzTfr5ptvltS0+9Kv\nf/3rlElHSSorK0t6XcipU6dqwYIFKisra3EAbe73v/+9Zs+erR9++EGHHnqoLrnkEk2ePFl1dXWa\nOXOmnn32WUlNKzwPOeQQy+rIFV0drOLiz2H3OAAAAADITsz/kGnV1dVasGBB0sdqampUU1OTuN/W\n++mcc87RDjvsoN///vd64403tGLFCklN7+njjjtOv//97/PibNnmSFgmMWvWrMTtBQsWaJ999mmz\n/P7776833nijU2316NFDs2fP1rHHHqsvv/xSf/jDH/SHP/yhRZmf//znevDBBy2tIxeYNVjFMWgB\nAAAAQHZi/mcvJ5xanYqV/T7uuOMSe4u0p72zdvfcc0+9+uqrCofDWr16tQKBgHr16uXY172rSFgm\nMWbMGDU2NnaofDI77bSTysvLVVpa2ubzR4wYoXnz5un555/XrFmztHz5cgUCAY0cOVJTp07Vnnvu\n2W4fzKjDycwerOIYtAAAAAAguzD/sx8Jy+TKyspUVlZmap0+n0+DBg0ytU4nImGZhFk7gT/55JNp\nl/X7/Zo6daqmTp3a6fbMqMOJrBqs4hi0AAAAACA7MP8D8gMJSzia1YNVHIMWAAAAAGRWvs//fD5f\nxtpmhSXsRsISjmXXYBWXrYMWAAAAAOS6fJ//NTQ0KBAIZKRtiYQl7Nf2FT+BLGX3YBVXXFys8vLy\nxP3q6mrV1dVZ3i4AAAAA5Kt8n//V1dVp8+bNtrcLZBIrLGEKj8djW1uZGqzisu2bNgAAAADIVfk+\n/2sdf6awwhJ2I2EJU/h8PkUiEcvbyfRgFZfpQQsAAAAAcl2+z/9axx8MBi1try0kLGE3EpYwTUOo\nQctrlstbaM3bKtIQUWhzKHHf382vzb7N2hzK0NJ4nxQriSX6tKZqjfwRf1rxN8YaFYwEFWoM6R8b\n/mF1TwEAAAC04egeR2e6C2glW5KVcXYnLVvH361bN61atcqStoBsRMISpoon78xOWiZLVlqVGO2I\neB/ifbMqfgAAAADIF9mWrIyzK2mZLP5M7hAuscIS9iOrAlOEw+HEbbOTdtmarIwjaQkAAAAA5sjW\nZGWc1UnLVPGHQqHUT7IJiT/YiYwKTBGNRuX2/m/TebOSdtmerIwjaQkAAAAAXZPtyco4q5KW2Rw/\nKyxhN3f7RYD0uLwu+bv5E/dDm0OKNHR+Ix6nJCvjvIVeU+MHAAAAgHyRzcm6ZIqLi1VeXp64X11d\nrbq6uk7X57T4Aatlb/YHjmTWSkOnJSvjWGkJAAAAAB3j1GSdWSstnRA/KyxhN7IoMF1Xk3ZOTVbG\nkbQEAAAAgPREIpGsT9a1patJSyckKyUSlrAfGRRYorNJO6cnK+NIWgLIpJff/1TfLl2p8pIi9Sgv\nVfeyUnUvK1GPslJVdiuR38exCAAAZF4kElEwGFQgEJCUvcm69nQ2aemUZCWQCcxYYJoid5H6+vv+\n7w9+qc7b7ABcK3Xzdkt5AK6rq1N1bbUK3AWScuBg3Ub8a91rVegt1ICCATq0x6EZ7SaA3LJs41rd\n+PUsVdXVacO6Bi3z1sjv8cnr9kj//XK5V2mFBlT01MDKXhpY0UsHbTdefct7ZLbjAAAg74TD4cRt\np8//Opq0dFqykhWWsBsJS1gq3YO20w7W6UoVPwBYZenG1ZKk9VuqFTMMSYakpg9qfo9Pfq9X6zZv\n0sK1y+TzeBXw+vX3j17X7F/fKrebvfgAAID9cn3+lwvzXxKWsBsJS1iuvYO2Ew/WHUHSEoCdVmxa\nr0g0qpgR06DK3vJ7fQpHIwpFIgpFwwpHIqoLNWhTfUQxI6bSgiJ5PR5FYlH5SVgCAACbBQKBvJj/\n5cv8FzALCUvYoq2kXT4crFvHHwwGVVhYmMEeAchVKzatUyjadHqV3+uTz+OVz+NVkb9lOcMw9MOG\n1fJ7fOrdrUJ+ry8DvQUAAPnM58vNzx+5OP9lhSXsRsIStmlvpaGTDtad0Tr+5tdrAQCzLK9ap3Ak\nIpfL1XTdyjaEoxH5vV4NrOhtU+8AAAD+x+v15uy8KNfmvyQsYTfO/YKtiouLVV5evtXfnXaw7qxU\n8QOAWZZvWqdQNCK/x9fmh7NoLKaYEZPP49PAyl429hAAACA/5Pv8F+gKVlgCAJAjItGIVlVvVCgS\nls/T9hD/v9PGvRpYQcISAAAAqbHCEnYjYQlbtb7AcFyq3dNyTar4AcAMq2s2KmbEFIpGVOQPtFk2\n9N/Txn1urwZU9LSphwAAAPkjl+a/JCxhN04Jh22S7YbWfHl8dXW16urq7O+YTVrHn6sXmAaQOcur\n1kmSQpGw/J62jzHhaFh+j1dyiYQlAADIiEgkkukuWCbf579AV7HCErZIdrBu/m1S6wsRO+mbpnS0\njj8QCMjr5b8fAHOt2LRe0VhUMSMmfzvHmFAkIt9/k5oDOCUcAABkQDgczsmkZS7Of1lhCbuRMYHl\n2jtYp9o9zQkH7XQki7+2tjZzHQKQs5ZvWqfQfz/0+9pZYRk/bbx7cTcVBQrs6B4AAMBWgsGg6urq\ncnr+lwvzXxKWsBsJS1iqvYN1nFMP2u1JFX9GE5aL7m/78eFn29MPAKZbXrVOoWhYLrnk83hSljMM\nQ6FIWOWFJewQDgAAMi7X53+tOXH+S8ISduMalrBMugfruOLi4py6pkdH4weAroqvsPR5vG1+MIsZ\nscRp4wMretvYQwAAgP9pfl3/fJv/5dr8FzAbKyxhmmg0qsbGRklSQ0ODtmzZknistLRUHo8n8Xgq\nHo9HRUVFiedu3LhRoVBIhYWF1nXcAu3FH41GFQ6HVV9frzVr1tjat8KamjYfb7C5PwDMEYvFtHTd\nKjWGgvK43QqHwynLNoZDMgxDLkPq5gnYfhwCAACor6+XYRjyer2KRqOScnf+l0pH5r+ZvtYnKyxh\nNxKWMF2yg3VHBpx42Xgd8d9OGbS6Gj8AdMa62mpFYlGFoxEV+Pxtlg1FI5Jc8nm86lvW3Z4OAgAA\nJOH1elVYWJi38z+nzH9JWMJuJCxhKrOSdU45aLdGshKA1X6sWqsfqtaod0m5+pX1ULeCIrlcLq3e\nvFGSFI5GVVrQ9vAejkYS17js142EJQAAyKx8n/85NX7ASiQsYZpoNGpqss5pB22SlQCstqWxXhc+\nd6eCkf+d7l3kD6hftx6Smq5NGTWi8nnaT1j6/1umHyssAQBAFsj3+Z8T4melIuxEwhKm8Hg8CofD\n8vubTkM0K1nnhIO2RLISgD1ihqFgJKxVNRsVjITl93jl83i1snqD/B6vYv8t53O3n7As8PlVVlCs\nkgDHKgAAkB3yff6XzfFzSjjsRsISpmi+u5vZybpsPmhLJCsB2KessFiDKnppU/0W1YUaVeQPKBQN\nqy7UoEis6WL1Aa8/cbp3KvHTxhvCQV376iPqV9ZD/bt1V7+yHupX1l29SsrldrvtCAkAAKCFfJ//\npYq/+ZwbyAckLGEqq5J12TpokawEYLex/YZp4foVUp2h8sISBbxNH15jRkyRWEw+t6fNb5ENw5Ak\n1QUbtcbYpNcXfCqfxyO/xyu3qylJOaSyj6Yfc0GibgAAADvl+/wvWfxFRUWmt9MRrLCE3UhYwjQ+\nn8/SASTbBi2SlQAyYWz/YXrpmw/ldrnVEA4mkopul1t+T/urIl0ul3p3q1B1fa02N9YpHI1Kakpi\nelxulRY0fRhet2WTBlb0siwOAACAtuT7/K91/HV1dRldZUnCEnYjYQlThMNhedo5BdEM2TJokawE\nkCk79hsqSSr0BVQfCqq8sKTDdRT7C1TsL5DUtOIyHIuqur5WNY21Ki0o0o79hmpAeU9T+w0AANBR\n+T7/ax1/IBCwvE0gW5CwhCmi0ahtbWV60CJZCSCTygqLNaSyj6obarWxbrMMw+jSt8Yul0tet1t1\noQZ1KyhWkS+g8/c6gm+iAQBAVsj3+V+8rc2bN9vWZjKssITdSFjCkTI1aGV6sAIASdppwHB9t265\nYkZMwWhYBV5/l+rbVF+rmGGoR3E3HbbdHhrSva9JPQUAAOi6fJ//FRYWKhqNqra21va240hYwm5s\nAQrHKiwsVGlpaeL+li1b1NDQYFl72TJYAcCO/YYq4PU1XccyFOxSXeFoRJvqt6iyqFTlhSU6ZbcD\nTeolAACAefJ9/ldQUKBgsGuf+wAnYYUlHM2ub9qybbACkN926DtELpdLRb6AGsJBVai0/SelsL62\nRl6PR+WFJZo2/qDEpjsAAADZJt/nf+FwOGNts8ISdiNhCcezetDK1sEKQP4qLSjSsO79tKl+S5eu\nY1kfalRdqEH9y3poWI9+OmTMeAt6CwAAYB7mf5lBwhJ245Rw5ASrTg9gsAKQrcb2H6YiX6DpOpaR\njn/bbhiG1tfWqNhfoCJ/gc7b6wh53B4LegoAAGAu5n9A7iNhiZxh9qDFYAUgm43tP1R+r08et0cN\n4Y5fz6imsU7haEQ9S8q1z7AdtGO/oRb0EgAAwBrM/+wVX2Hp1B84D6eEI6eYdXoAgxWAbLdD3yFy\nu1wq9PlV38HrWEZjUW2s26zywhIV+wt05h6HWthTAAAAazD/s4+TE39O7Xe+I2GJnNPVQYvBCoAT\nFPkLNKLnAG2qr9X6upoOXcdyY91muVwuVRZ305SdJ6t3aYW1nQUAALAI8z97kLCE3TglHDmps6cH\nMFgBcJKx/Yep0B+QYcTUGAml9ZxgJKSaxnr1KC5Tn9IKHbfTJIt7CQAAYC3mf8gWK1eu1Jdffqn5\n8+dr06ZNme6Oo5GwRM7q6KDFYAXAacb2Gyq/x5v2dSzjG+0UeH3qVlCks/Y8VAU+vw09BQAAsBbz\nP2tl+hqU2XwNyx9//FFnnXWWunfvrgEDBmjs2LEaM2aMKisrNXLkSN10002mbAqVbzglHDkt3dMD\nGKwAONGYPtvI43aryBdQQygkFbVdvjbYoIZwUAPLe2nHfkO199Ad7OkoAACADZj/WYdTwpN79913\ndeihh6q2tlaSVFBQoMGDB6u+vl4rV67U999/r6uuukpPPvmk3nzzTfXo0cOyvuQaVlgi57X3TRuD\nFQCnKvIHNKrXQBX6A2oIBxUzjJRlY0ZMG+pq1K2gWEX+gM7b6wjHfugEAABIhfkf7NLQ0KDjjz9e\ntbW18ng8uvPOO7V582Z99913WrZsmVasWKETTzxRkvTll1/qoosuynCPnYWEJfJCqkGLwQqA043t\nN0xFvoAMGQq2cR3LTfW1ihmGehR306FjJmho97429hIAAMA+zP/Ml+lTurPxlPA33nhDq1evliRd\neumluuCCC+Tz+RKP9+3bVzNmzNCOO+4oSXrmmWcUDLZ/GSc0IWGJvJFs0GKwAuB0Y/sPlc/jldft\nUX0o+QegcDSiTfVbVFlUqvLCEp0y/kCbewkAAGAv5n/mynTCMRsTlitXrkzc3n///ZOW8Xq92nff\nfSVJwWBQGzZssKQvuYiEJfJK60ErjsEKgFON6bONfB6PCn2BlBvvbKitkdfjUXlhiaaNP0jdCopt\n7iUAAID9mP/BSoMHD07cbmtH8KqqKklSIBBQnz59LO9XriBhCQCAgwW8Po3uPUhF/oAaw6GtrmNZ\nH2pUbahBPUvKNbR7Xx0yZnyGegoAAAAny/QqyWxaXSlJkydP1qBBgyRJd911l6LR6FZllixZohdf\nfFGSdOKJJ8rj8VjWn1zDLuHIK62vWRKXavc4AHCCsf2G6dPl38uQocZwSEX+gCTJMAytr61Rsb9A\nxf4CnbfXEfK4+ZAEAADyA/M/81id/LOSVf0uLCzUk08+qZ/97Gd69913NX78eJ1//vkaPny46uvr\n9cknn2j69OmqqanRXnvtpVtuucWSfuQqEpbIG8kusCz9b7Bi0ALgVGP7D5PP45XP7VVDOJhIWNY0\n1ikcjahfWXftM2wHje0/LMM9BQAAsAfzPyRTXV3d5uMVFRUdqm+PPfbQV199penTp+tPf/qTzjzz\nzBaP9+zZUzNmzNAJJ5zQYkMetI+EJfJCe7vBZeug5dm0RoFFn8izcaUat99H4QGjM92ltAW++1D+\nH79WuM8whYbtolhJeaa7BOSs0b0Gyu/xqtAfUH04qO6SorGoNtZtVnlhiYr9BTpzj0Mz3U0AAABb\nOHX+l81yZYXl0KFD2yxrtLq8UnvC4bBuvPFGPfjgg4pGoyouLtaQIUMUCoW0aNEirV+/XldffbVc\nLpdOPvnkTvU/X5GwRM5rb7CK386aQSsaln/Zt02JyqpVckUjkhFTwXcfOiphWfj1u3I11spTtUoF\n3/2nKXE5fJzC/YZLLi6fC5jJ7/VpTJ/B2li3WVsa6xUzYtpYt1kul0uVxd00ZefJ6l3asW+LAQAA\nnMhx8z+HyJWEpZkikYgOPvhgvfnmmyosLNQ999yjM844I7GScv369frNb36jBx54QKeccoo2bNig\niy66yJK+5CISlshp7Q1WcdkwaLm3bFRg0SfyL/1SrmCDXKFGuYP1UiQko7BUikZs64spohG5gvVy\nhxpl+ArkD38r3+pFihWVKTRsZwWH7iyjsCTTvQRyxtj+w/Tx8oUyZKimoU41jfXqXVqhPqUVOm6n\nSZnuHgAAgOWcNP9DZixZskTl5eWm1HX//ffrzTfflCTdeeedOuOMM1o83rNnT91///3asGGDnn/+\neV1++eU6+uijW+wujtRIWCJnpTtYxWVk0DIM+ZbPV2DRJ/KuWypXNCpXsF6uYL1kxGT4AnI5fTWi\nxyuXEZVrS5Xk9sjdWC93XbUKvnlP4f6jFBw+TpFegyWHflsHZIux/YbJ6/bI5/FqQ91mFXh96lZQ\npLP2PFQFPn+muwcAAGApR8z/HCxXVliWl5d3+DqVqTz11FOSpLKyMp166qkpy1100UV6/vnnFQ6H\n9fzzz+vXv/61Ke3nOhKWyEkdHazibBu0jJjcjbXyL12r4lVVcoWDTYnKcFByu2UEihQLFEkejzzV\n68xt22aG26tYaYUUCcsdrJercYs8DVtk+AvkX/qFfMvnK9atu4LDdlFoyI4y/HxAADpjZK8BCnh9\nKvIFVBOtU8+Scu3Qb4j2HrpDprsGAABgqayf/+WAXElYmumHH36Q1HRdTI/Hk7LcyJEjt3oO2kfC\nEqYJh8Oqra3NdDcUCoUUDAYT9wOBgKLRaIf65vV6E3VUV1eroaFBfn8XVygZhryRoPzBOrlCUUlR\nGaqXq26NXLGYoh6fIr4iRT2+ptWGoZAkqSAWVTQcUk1Njb779tuu9UFSv/rVbT6+qqbrbUjSzo0N\nCkQichmGgg0NTX90+6WAT95IUN5Qo9yNdTLcHsVqq1W4eb0Kv3pLoUHbKThsF0Ur+yVddfmtCa+B\nlcaMGdPlOuyI0Yx+tsXqGOj/1nwer/oFyrTKWK8ij1+uqKGf9NlO8+fPN70tq15/u/9/mxmHU/tu\nZ7/Nft84ue8S/e+ofH3PZ/tngkx9LrP6cwCcpbPJyjiSlukhYbm1+HukIT7fTaG+vn6r56B9JCyR\nU5IlKzuTaIw/J15X/Hdn6nLFovKH6uUP1ckdi0pGTC755DaichtRRTx+RQIBGe7U38hIkjsWVfGW\n9R1uv7nGgtK0yvmCdfKH6tsv2BkulyK+AkW8AbljUXkjjU1J3EijDH+hAt9/LP8PXyha0UfBYeMU\nGryd5OV0ViAdIyv76ev1y1Tg9WvvgdtqQGn3THcJAADAMl1NVsaRtERnjBo1SgsXLtTChQu1evVq\n9e3bN2m5t99+u8VzkB4SlsgZZiUr47qUtDQMeaIh+YN18oUb5DIMuYzYf38MyeVTzOVWxBNQ2FeU\nVn8KGjdr1PzXOhdMvFsujzYOCyhS4EtZprxquYYsek8uGV1qq10ul2Ier0KeEoX8MRW6jaZTxoP1\nktcnV7BBnqrVKvz8DYW22UHB4eMUK+tpbZ8Ah9trwLb6fO0P8nu8OmLEbpnuDgAAgGXMSlbGkbRs\nGysst3bsscfqpZdeUiwW04UXXqinnnpqq1PDV61apWuvvVZS03vpkEMOsaQvuYiEJXKC2cnKuA4n\nLY1Y02rKYJ08sYhkGHIbTasqJUkut6JujwzDLaV5zDRcHnnDjfKGg+0XbkdDYZkK6gzVtpGwLN28\nWp5oWIGgGaf3G4p4A+0Xc7llFBQqGiiWKxJq2l28rlqqd8sIFKpgwRwFFn2sSM9BqvD1UHXFwHZX\npAL5qMRfoCv2ODrT3QAAALCU2cnKOJKWqZGw3NpJJ52k++67T//5z3/03HPPacKECTrvvPM0atQo\nhUIhffjhh5o+fbrWrWval+K3v/2tevfubUlfcpGtCct169bpk08+0bp167R+/Xo1NjaqZ8+e6tmz\np0aMGKHtt9/esf8BkDlWJSvj0klauiMhBUJ18oXiqymjidWUhsslw+WR4XL/75qMHVi8GAwUyxsJ\ndSmGplOvg+nmSCVJLiOmsK9QRhf+Txoul6KeDvxbuFwyfAEZvoAUa9oxvWmjnjrJF5Ar1Kgh0QWK\n+Aq0occwbeg1XKFASaf7BwAAAMBZrEpWxpG0RLo8Ho9efvllnXrqqXrxxRf18ccf64wzztiqnN/v\n13XXXacrrrgiA710LssTlvPmzdOjjz6qf//73+1elLmyslL77LOPjjzySE2dOpUDAtpldbIyLlXS\nslgR+YN18kZDUuK076hchmS4m1ZTSq6km8ekzeVWxFfQpf67o2F5Ix1foRn2BSSXu0ttd5rbI6Ow\nVNGCksQu6u7aTSo0pIgvoL6rvlLv1d9qc1lfbeg1QjXl/bv2OgMAAADIalYnK+OyNWnp86U+U85q\nrLBMrqKiQv/85z81b948Pf/88/ryyy9VVVUlr9ervn37avfdd9cJJ5yQ8vqWSM2ShGUkEtHMmTN1\n991365NPPkn7eVVVVXrhhRf0wgsv6P/+7/906qmn6le/+pUGDx5sRTfhcHYlK+MSScvGRrljEUVr\nGyVXRD4j8t8k5f9WU8bcbpJnZnG5ZPgLZPgLpGhE0doaecON8oUaFPX65akKqaxmlUL+Ym3oNVwb\neg5TxMeXHQAAAEAusStZGZdtScvGxkYFAmlcbssiJCzbtttuu2m33biGvJlMT1i+8soruuSSS/Td\nd98l/rbNNttojz320IQJE7T99tursrJS3bt3VyAQ0MaNG1VVVaVly5Zpzpw5mjNnjj777DNt2rRJ\nf/nLX3TPPffooosu0pVXXqnS0vR2ODbbf/7zH73yyitasWKFAoGARowYoeOOO07bbLNN1rVjV18z\nze5kpSTJMFQWqVMk2qjNhlcuGdoSc8ttSEUul6IeE1ZTom0er8L+IoV9hfJEQ/JGgipo3KKYu+k6\nn/2W16rvyq+0qv+OWttvu0z3FgAAAIAJ7E5WxmVL0rKhoUF1dXW2tglkmqkJy1NPPVUzZsyQJPXp\n00cnnniiTj75ZO20004pn9OrVy9J0sSJE3XCCSdIalpp+fTTT2vmzJn6z3/+o5tuukl/+9vfNGfO\nHFsTb2vWrNEpp5yi119/favHrrzySl122WX6wx/+ILe7a6fMmtGOXX1NpfVOWFbKSLJSTdd09Ifq\nFVBMbiOiGjW1WeMOKKaIilwW76qN/3G5FPUGFPX45Y00yh9qkD9UL1+kUcFAqXqv/Y6EJQAAAJAD\nMpWsjMt00rJ1/JnCCkvYzdSE5ddff60hQ4bo6quv1imnnCKvt3PVV1ZW6txzz9W5556rL7/8Utde\ne61eeOEFbdiwwbaEZW1trX7605/qiy++kNvt1imnnKJJkyaprq5Ojz/+eCKRWl9fr9tvvz2j7djV\n17b4fD4ZhvUJu0wlKyXJcLnVGChVILhFBW5DhhHRZsMrGYa2yCNXLKJCl8EKSzsYMXkjQfnCQbmM\nmKIenyLegKJevyLegFYM3DnTPQQAAADQRZlOVsZlKmnZOv7mc2G7kbCE3UxNWN54443ad999Tb0Q\n7I477qjnn39en332mfr06WNave35wx/+oC+++EKS9Pe//13HH3984rHzzjtP06ZN02OPPabp06fr\nuOOO08SJEzPWjl19bU80GlUoFLIsgZjJZKUkyeVSsLCbQgUl8oXq5Q/WqTQa02bDI5fUdJq4EVKR\nK6qYy525zWpylWFIkZD8wVp5IyEZLpci3oAi3oAMt0d1JT20vtcIbaocJMNt+X5iAAAAACyULcnK\nOLuTlq3jLy4u1po1ayxpC8hGpmZUfvKTn1i2a9XOO+9s265KW7Zs0R133CFJOuKII1okACXJ7Xbr\nr3/9q8rKyiQ1JQwz1Y5dfU1XMBhUKBQyvd6MJyubMVxuhQIlqi3tJaO0UsU+rwy5ZLjcqnEFVG+4\n5YlG5I6G5YpFmxJt6LxYTK7GOnk2b5BnS5XcsZhCgWI1FFYoWNBN6/uM1vztD9GCMQepqsdQkpUA\nAACAw2VbsjKusLCwxd4aW7ZsUUNDg+ntJIu/oKDA9HY6Ir7C0qk/cB5m9km8/PLLiYPOmWeembRM\naWmppkyZogceeEBvvvmmNm3apIqKCtvbsauv7QmHw4nb8cSiWQnFbEpWtvDfFX4qDcgbbFSooUHu\nWFTVrgLFXGGVKCx3LCrDFZXh8shwdW7ncFcsKm+ka0v/XUasU8/zhxpkdOHgHl8F2anVppGw3ME6\nuUKNTXX5C2QUl6sxHFFDYbnW9xqhqh5DFPNY8yUJAAAAAPtla7IyzuqVlqnij0QiptTfWU5O/Dm1\n3/mOc1aTePfddyU1van32WeflOUmT54sqSlZ95///Ccj7djV1/ZEo9EWG++YtdIya5OVrfgCBfIV\nFSviCyjq8anGFVCty6+oxyfD5ZHLiMkTDcsdjcgVi0lKf9WlP1QvbyQkTyzS6R+3EVPM402vVVfT\nTucxj1duI9qldn3hRvnCjem/kIYhV7C+aTXl5g1yRcIyCksVLeulWGl3BYftrAXbHqj52x+iDb1H\nkqwEAAAAcki2JyvjrFpp6ZT4ATtkZIXl2rVrtWjRIm3evFnRaLTNsnvvvXfidGa7fPPNN5Kkfv36\ntdn26NGjE7e//fZbHXrooba3Y1df0+FyuRQIBBIJxq6utHRKsjIu3rdgMKio26Mqw6ewO6Zu0Qa5\njJhcsZhcRkzuWEQul08uxeRKY2dxlxFVxBdQ2Nf1gSriK1BDads7uldXDFT39UsUc3d953d/sFbu\nWNv/x6WmVaTu+s1yBeslw2haTVnaTYbXr1hJuYLDdlFoyFgZBcWq+/bbLvcLAAAAQHZxWrLO7JWW\nToiflYqwk20Jy1gspvvuu0933HGHvvvuu7SfN2/ePO26664W9mxrK1eulCT179+/zXLNH1+xYkVG\n2rGjr5s2bUr5WHV1dYv7zZN2zX93NNHotGRlXIv4XS5tMTwKFXZXsSLyB+vkjYaarmlpuJpWXUZC\nCkRrFfYFFHN72zxlvKGwTItG7tul/kV8Berb+GqbZbZ066Mvdz5ankjXVshu/+U/2y5gGPJEw/JG\nGuWJRuTy+mQUlCgWKJLcHoX7jVBw+DhF+gxhAyMAAAAghzkhWZeMWUlLJ8TPKeGwmy0JS8MwNGXK\nFD333HN2NNdl8QNFcXFxm+WaP15bW5uRduzoa2VlZYfKdzVp6dRkZVzS+AMBhUt7yh0Nyx+sk9EY\nUsztVUw+KRZTQeMWxdye/+567U+aoDNcboUDbf87myXm8Vl2unX8mpzeSFAuw1DU41OwoFS+4lIZ\nhaUKDttZwaE7yyjqZkn7AAAAALJHJBLJ+mRdW7qatHRCshLIBFsSlo8//ngiWbnrrrvqrLPO0tix\nY1VRUSG3u+2VUwMHDrSjiy3Er73o9bb98jRPojVPsNnZjl19TYfP51NJSUnifvMDbyQSUWFhYbsH\n3oaGBkUikcT1MJ18sE4af0mJpAoZGzfKcBuS/HJ5QjIiYbmD9QqEGhSIBGX4CxQrKJI8PnmCHrl9\nfpWVlWnMmDFd7lfhyk/afLy8f9fbkKTCrwrljjRIhlRQUCBXOChXsF6ucFByuWUUlsoIFMnl8cjV\ne4jqhu2icP+RUjunopvxGmS7XIjR6TE4tf9O7Xeck/vv1L47td+Ss/su0f9McVq/s72/2d4/ZL9o\nNKpwOCyfr2mxhFPnf51NWjopWckKS9jNloRlPFn505/+VC+//HKLzVmyUVFRkWpqatpN7DW/qG57\nKxytaseOvlZVVaV8rLq6WkOHDk36WEcP2k46WKejzfhdLhn+AoV7b6MtY4YqsOgT+Zd9K0VDcgUb\n5Q7WybN5o+TxSp3c4TtbuKJheWrWS7Go5PUrVlzedI3KQKFC24xVcPguipV2z3Q3AQAAANis+c7X\nOT3/S8Jp818SlrCbLQnLtWvXSpIuvPDCrE9WSlJZWZlWr1691fUZW6upqUnc7tat46evmtGOHX2t\nqKjoUPnm0j1oO+1gna5U8TcX7d5f9d37q2HnA+X/4UsFFn0iY0uVXNGQXI31ckUjWz3HUYyYDH+R\njIIiGR6vot37N22iM2iMxC7fAAAAQN7L9flfLsx/SVjCbrYkLOMbvnQmqZcJw4YN03fffadly5a1\nWe7HH39M3B4+fHhG2rGrr13R3kHbiQfrjkgVfyAQaFHO8BcqOGp3BUeOl3ftUgUWfyLfyoVSNCKX\nEZPhbVk+2xm+QNMmOsXlktev0ODtFRw+TtGKPpnuGgAAAIAs4fP58mL+ly/zX8Astmy9e8ABB0iS\nPv/8czua67Idd9xRUtPpzj/88EPKcp9++mni9g477JCRduzqa1cVFhaqtLQ0cX/Lli1qaGjIm4N1\n6/jD4bCi0Wjywi6XIn2GqG7isao5/EI17rivQgO3VeMOk2zqrTkadjlIoUFjVD/uYFUf+WvV73Yo\nyUoAAAAACV6vt939GJwoF+e/8RWWTv2B89iSsJw2bZpGjx6tP//5z21eDzFbHHzwwYnbs2bNSlnu\n1VdflSR1795du+++e0basauvZkh20HbqwbozWsff/HotqRiFpWrcbm/V7T1VkV6Dreye6ULb7KC6\nvacqNGJXyees1aEAAAAArOeES8Z1Vq7NfzOdcCRhmX9sSVgGAgG99tprKigo0MSJE/Xaa6/JMAw7\nmu6UiRMnatiwYZKkO+64I+mGNl988YVef/11SdKJJ57YqQOtGe3Y1VeztD5oxzntYN1ZqeIHAAAA\nAOSWfJ//Al1hS8JSkgYOHKjPP/9c22yzjQ466CBVVlZq/Pjxmjx5cps/CxYssKuLCW63WzfeeKMk\naeHChTrttNNUX1+feHzRokWaMmWKYrGYSktLddVVVyWt51e/+pWOPfZYTZs2zbJ2zOorAAAAAABA\nMpleIckKy/xj28Uili5dqhNOOEFz5syR1HTNxXnz5rX7vGS7KtthypQp+vDDD3X77bfriSee0OzZ\nszV+/HjV1dXpww8/VCQSkdfr1dNPP60+fZJfl2/27NlasGCBysrKLG3HjDrs0vqaHXGpdk/LNani\nBwAAAADkllya/zo58efUfuc7WxKWmzZt0p577qnVq1dLkioqKrTddtupoqJCbnfbizwrKirs6GJS\nf/nLX7T99tvrd7/7nZYtW6Z//etficf22GMP3XHHHdp1112zoh27+toVyS4wLKXePS3XtI4/Fy8u\nDQAAAADpSrkRaQ7I9/kv0FW2ZEymT5+u1atXq7i4WA888ICmTJnimIvrnnHGGTr99NP19ddfa/ny\n5QoEAhoxYoQGDRrU7nPvuOMObd68WX6/39J2zKzDKu3thpbrB+3W8ft8Psf8HwAAAAAAK0QikbQ2\nI3WaXJz/ssISdrMlYfnRRx9Jkq655hqdcMIJdjRpKpfLpR122EE77LBDh573k5/8xJZ2zK7DbO0d\nrOO3nXjQTkey+BsaGjLYIwAAAADIDuFwWA0NDTk9/8uF+S8JS9jNlk134jtX77XXXnY0hyzS3sE6\nrvXuaVu2bMmJpF668QMAAABAvsq3+V+uzn8BM9mSsBw9erSkzG2gg8zoaLIu1w7aJCsBAAAAILXm\n1/XPt/mf0+a/md7lm13C848tCcszzjhDLpdL//jHP+xoDlmgs8k6px20UyFZCQAAAABt83g88vl8\nifv5Nv9z0vw30wlHEpb5x5aE5bhx43TDDTfooYce0mOPPWZHk8igribrnHTQToZkJQAAAACkx+v1\n5vX8z+nzX8Aqtmy6s3DhQh188MGqra3Vqaeeqscee0xTp07VqFGjVFRU1OZzR40aRbLHQcxK1jn1\nQsQkKwEAAACgY/J9/ueE+J28UtGp/c53tiQsTzzxRH3yySeJ+7Nnz9bs2bPTeu68efO06667WtU1\nmCgajZqarHPCQbs5kpUAAAAA0Dn5Pv/L9vhJWOannXfeWT6fT//85z/Vt29fW9u2JWGJ3OfxeBQO\nh+X3+yWZl6zL9oN2HMlKAAAAAOiafJ//ZXv8JP7yj8vl0rx587R58+bcTFjed999nd4hfNSoUSb3\nBlZofqFks5N12X7QJlkJAAAAAObI9/lfqvibz7kBu0ycOFGfffaZFi9ebHt+zpaE5bhx4+xoBlnA\nqmRdtg5aJCsBAAAAwFz5Pv9LFn97+39YjVPC89Nll12mxx9/XPfcc48OOeQQW9u2ZZdw5Aefz2fp\nAJJtu6eRrAQAAAAAa+T7/K91/HV1dRldZRlPWDr1B50zc+ZMTZ06VbNmzdIvf/lLBYNB29rO2mtY\nnnTSSYrFYnriiScy3RWkIRwOy+PxWN5OtnzTRrISAAAAAKyV7/O/1vEHAgHL2wSa+9vf/qbFixdL\nku688079/e9/11FHHaU999xTEyZM0OjRo+V2W7MWMisTlps2bdJbb72l1atX67bbbrP9wp7ouGg0\naltbmR60SFYCAAAAgD3yff4Xb2vz5s22tZmMk1cqOrXf2eBf//qXPvroI3388cf6+OOP9dlnn+mh\nhx7SQw89JEnq1q2bxo8fr8cff1w9e/Y0tW1bEpb77LOPPv3007TL19fXyzAMSVJtba1V3YKDZWrQ\nyvRgBQAAAAD5Jt/nf4WFhYpGoxnNj5CwzE/Dhw/X8OHDddJJJ0mSYrGY5s+fn0hgfvzxx/rggw9U\nU1PjzIRlfX296urqOvy8n/70pxoxYoQFPUIusHvQypbBCgAAAADyTb7P/woKCmy9fiCQjNvt1nbb\nbafttttO06ZNkyRFIhFLksK2JCwvvPBCrV69us0ywWBQixcv1osvvqiamhodf/zx+vvf/25H9+Bg\ndg1a2TZYAQAAAEC+yff5XzgczljbrLDMPUuXLtX8+fM1btw49erVq9P1eL3WpBZtSVjGs67pqKqq\n0mGHHaYnn3xSBxxwgM444wwLe4ZcYPWgla2DFQAAAADkG+Z/mUHCMvc899xzuuSSS7Tvvvvq3//+\nd6a7sxVrtvLpgsrKSj388MOSpGuvvVaxWCzDPYITFBYWqrS0NHF/y5Ytamho6HK9DFYAAAAAkF2Y\n/wFdF99rZt99902r/IMPPqgZM2ZozZo1VnYrIesSlpI0atQoDRo0SCtXrtSPP/6Y6e7AIcwetBis\nAAAAACA7Mf+zV3yFpVN/sLVly5ZJksaNG5dW+ZqaGp166qn605/+ZGW3ErIyYSkpceCpr6/PcE/g\nJGYNWgxWAAAAAJDdmP/ZJ9MJRxKW5tu0aZMkqXfv3i3+vs8+++iwww7T+vXrW/z9Zz/7mSTpgw8+\nsKV/WZuwXLp0qXw+nwYNGpTprsBhujpoMVgBAAAAgDMw/wM6x+/3S5ICgUCLv69atUqvvPKKampq\nWvx9m222kdvt1hdffGFL/7IyYfnEE0+orq5ORx99dIsDD5Cuzg5aDFYAAAAA4CzM/6yX6RWSrLA0\nX//+/SX979TwuLq6OklSJBJp8XePx6NevXopFAqpurra8v7ZkrCMRqOKRCJt/oTDYS1evFh33HGH\nzj33XI0fP1633357yvJAezo6aDFYAQAAAIAzMf+zVqYTjiQszbfddttJkp599tnE3zZu3Kh169ZJ\nUtLNdbxeryRttfrSCrYkLHfffXf5fL42f/x+v4YPH65f/epX2rx5s+bOnau+ffumLP/xxx/b0XU4\nXLqDFoMVAAAAADgb8z8gfdOmTZMkPfroo3ryySdVX1+vq666SrFYTC6XS++9916L8sFgMJHELCoq\nsrx/XstbADIsPvDEB6T47/jf822wauh/cqa7AAAAAACWYP5nDSevVHRqv6227bbb6phjjtFzzz2n\nE044IfH3HXbYQd26ddM999yj888/X927d5ckPf/884pEIiopKVGPHj0s758tCcurrroqsaTULIMH\nDza1PuS2VINW69sMVgAAAADgbMz/zEfCMj1VVVX617/+pR9++EG1tbUaOHCgdthhB02cOFFud/Zt\nI/O3v/1NdXV1+te//iWp6TqVN998s5YsWaJf/OIXmjhxoi699FLV1dXpmmuukSRNnDjRltfUloTl\n0UcfbUczQJvaGrQkBisAAAAAyBXM/8xFwrJtVVVVuuKKK/Twww8n3Xelf//+uueee3T44Ydb3peO\n6Natm1599VV9+umn+v7777XLLrtoxIgRikajmjFjhubOnaszzzyzxXN++ctf2tI3TglHXmk9aMUx\nWAEAAABAbmH+BzssX75c++67rxYvXiypaQXiPvvso4qKClVVVemjjz7SO++8o2+++SbrEpZxu+yy\ni3bZZZfEfY/Ho9mzZ+uiiy7Sk08+qcbGRhUVFen666/XIYccYkufSFgCGfL111/rX//6l6ZMmdLl\nulavXm1Cj/6nb9++ptVlZt+ytV9S9vYtW/slZW/fsrVfUvb2LVv7JWVv38zsl5S9fcvWfknZ27ds\n7ZeUvX3L1n5J2du3bO2XlL19Y3zqOLNfs9dff71TzysqKlJFRUWLvzXfmKerOtuvZA488EDT6jIb\nKyyTCwaD+ulPf6rFixeroqJCzz77rPbbb7+tyq1evVqbNm2yrB9WKC8v18MPP6x77rlH69atU69e\nvVRQUGBb+yQskVdaX2A5rvWFmAEAAAAAzpYsWSkx/+sspyYsrXTTTTfp22+/lST94x//0OTJk5OW\n69u3r+lf8NiloKBAgwYNsr1dU6/4OWPGDMsyxi+88IKWLl1qSd3ID8l2g2v+zdqWLVvU0NCQia4B\nAAAAAEzUOlm5adOmFvkK5n/oqmAwqLvuukuSdOSRR6ZMVqJzTE1Y3nnnnRoyZIiuv/56VVdXd7k+\nwzD0yiuvaNddd9VRRx2lDRs2dL2TyEvJkpWFhYUqLCwkaQkAAAAAOSRZsrK+vl719fUkLTspfkq4\nU3+sMGvWLG3cuFGSNG3aNEvayGemnhJ+4IEH6rPPPtN1112nP/7xjzriiCN08skn66CDDpLP50u7\nnu+++04zZ87UY489pmXLlkmSdthhB/Xv39/M7iJPpEpWxqXaPY7TAwAAAADAWVIlK+Pq6+tVWlrK\n/K+DuIbl1v7zn/8kbu+9994yDEPvv/++PvjgA23atEmVlZUaP3689tlnH3k8Hkv6kMtMTVjedNNN\nOuGEE3TxxRfrjTfe0NNPP62nn35ahYWFGjdunCZMmKAxY8aoe/fuqqysVCAQUFVVlaqqqrRs2TLN\nnTtXH330kVauXJmos0+fPvrd736nM844Q263qQtCkQfaS1bGkbQEAAAAAGdrL1kZx/wvf7V3NnCy\na56m8vXXX0uSevTooaqqKh1yyCGaN2/eVuWGDx+u++67L+lmPEjN9E13dtxxR73++uv697//rbvv\nvlsvvviiGhoa9P777+v9999Pu57tt99e55xzjk499VSVlJSY3U3kgXSTlXEMWgAAAADgTOkmK+OY\n/3VMrqywHDp0aJtlDcNIu96qqipJktfr1b777qtVq1Zp3LhxOuSQQ1RUVKTPPvtM//jHP7Ro0SId\ndNBBeumll/TTn/60c0HkIct2Cd9vv/203377adWqVXr88cf11ltv6YMPPlBNTU3S8h6PRzvvvLMm\nTZqkn/3sZ9prr72s6hryQEeTlXEMWgAAAADgLB1NVsYx/0tfriQszVRXVydJWrNmjSTpt7/9ra6/\n/voWZebMmaMDDzxQtbW1mjZtmn744QcVFRVZ0p9cY1nCMq5fv3665JJLdMkllygWi2nRokVau3at\n1q9fr1AopB49eqhnz54aOnRoi81PgM7qbLIyjkELAAAAAJyhs8nKOOZ/+WXJkiUqLy83pa7m75Hd\ndttN11133VZlJkyYoGuvvVaXXnqp1q1bp6efflqnnnqqKe3nOssTls253W6NHDlSI0eOtLNZ5JGu\nJivj7Bi0tt9+e+2///568MEHTavTLKtXr850F5LK1n5J2du3bO2XlL19y9Z+Sdnbt2ztl5S9fcvW\nfknZ27ds7ZeUvX3L1n5J2du3bO2XlL19y9Z+SfStM7K1X1LTJr+tJZv/jRkzpsN1d2X+l6xfuShX\nVliWl5d36DqVbenWrVvi9vHHH5/y9TnxxBN16aWXSpLee+89EpZpYhcb5AyzkpVxhYWFLVb9btmy\nRQ0NDV3qIwAAAACg65j/2SuesHTqjxWaXw9z2LBhKcv169dPBQUFkqRVq1ZZ0pdcRMISOcHswSqO\nQQsAAAAAsgvzP2SDHXfcMXE7Fou1WTb+uNdr64nOjkbCEo5n1WAVx6AFAAAAANmB+V9mZHqFZDau\nsGy+4/f8+fNTllu8eLFCoZAkafDgwZb0JReRsISjWT1YxTFoAQAAAEBm5fv8z+fzZaztTCccszFh\nOWLECI0fP16SNHPmTEUikaTl/va3vyVuH3TQQZb0JReRsIRj2TVYxWXroAUAAAAAuS7f53+NjY0K\nBAIZaz/TCcdsTFhK0h//+EdJ0nfffadzzjlHwWCwxePPPfecbrnlFknS2LFjdeihh1rWl1xDwhKO\nZPdgFZdtgxYAAAAA5Lp8n/81NDSorq7O9nbRvn333Ve/+93vJDWtpBw6dKimTZum8847T7vvvruO\nPfZYhcNh9e7dW88884zcbtJw6eJqnzCFx+Oxra1MDVZx8bbifYj/trMPAAAAAJAP8n3+1zr+TLF6\npaKVrO73Nddco6FDh+qyyy7TqlWr9Oijj7Zo+6ijjtL06dM1YMAAS/uRa0hYwhQ+n0/RaNTydjI9\nWMVletACAAAAgFyX7/O/1vG3Pt3YTiQs23bSSSfphBNO0Jw5c/T999+rvr5evXv31sSJE9W7d2/L\n289FJCxhmnA4rIaGBssO2tkyWMWRtAQAAAAAa+T7/K91/MXFxVqzZo0lbcEcbrdbe+65p/bcc89M\ndyUnkLCEqaw6aGfbYBVH0hIAAAAAzJXv879k8Wdyh3CJFZawny0Jy3feeUebNm3SoEGDtMsuu3To\nOZMnT1Z5ebm1HUSXhcPhxG2zD9rZOljFkbQEAAAAAHPk+/wvVfyRSMSU+juLhCXsZsv2RBdffLGO\nOuoojR8/XnfddVeHnrNo0SKLewczRKPRFt/4mLV7WrYPVnHZsnscAAAAADhVvs//nBI/YAdb91OP\nRqO68MIL9ctf/tKWDVpgL4/HY+pB22kHa5KWAAAAANA5+T7/y/b44yssnfoD57E1YRk/HfzOO+/U\n4Ycf3uI/I3KDWQftbD9Yp0LSEgAAAAA6Jt/nf06JP9NJR5KV+cXWhOW9996rK6+8UpL06quvauLE\niVq2bJmdXYANunrQdsrBOhWSlgAAAACQnkgkktfzP6fPfwGr2JqwdLlcuvHGG/Xwww/L7/frq6++\n0vjx4zV37lw7uwEbdPagnSsHa5KWAAAAANC2aDTaYgPXfJv/OWn+m+lVkqyyzD+2JizjTj31VL32\n2muqrKzU2rVrNXnyZD3zzDOZ6Aos1NGDtpMO1ukgaQkAAAAAqTXf+Trf5n9Om/9mOuFIwjL/ZCRh\nKUmTJk3SRx99pJEjR6qhoUFTp07VDTfckKnuwCLpHrSddrBOF0lLAAAAAGhbvs3/cnX+C5gpYwlL\nSRo+fLjmzJmjyZMnyzAMXX311Zo2bZpCoVAmuwWTtXfQzvWDdbL4m3+TCAAAAAD5yufz5fz8Lxfm\nv5leIckKy/zjzXQHKioq9Nprr+ncc8/V3/72Nz366KNaunSpNm/enOmuwUTxA3D8wNz8AO3Eg3VH\ntY4/HA4rGo1msksAAAAAkFFeb8ZTEpbIxfmvkxN/Tu13vsuKo4PP59NDDz2kkSNH6sorr9S7776b\n6S7BAm0dtCVnHaw7o3X8rLIEAAAAkM88Hk/Ozovyff4LdFVGTwlv7fLLL9ezzz6roqKiTHcFFmm9\nPD4uXw7WqeIHAAAAAOSWXJr/ZvqUbk4Jzz+2rLB85JFHVFtbq2233bbdskcffbQGDx6sJ554QpLU\np08fq7sHAAAAAACAFJyc+HNqv/OdLQnL7bffvkPlx40bp3HjxlnUG2RS6wsMx8X/5rRvmToqVfwA\nAAAAgNySS/NfEpawW1adEo7clmw3tLZ2T8s1rePP1QtMAwAAAEA6cnkj0nyf/wJdRcYEtkh2sG7+\nbVLrCxE76ZumdLSO3+fzyePxZLBHAAAAAJBZkUgkJzfdycX5LyssYTcSlrBcewfrVLunOeGgnY5k\n8fNNGgAAAABI4XBYDQ0NOT3/y4X5LwlL2I1TwmGp9g7Wca13T8uV5fHpxg8AAAAA+Srf5n+5Ov8F\nzMQKyzRVV1fLMAyVlZXJ7bY2z7tp0yb5/X4VFxdntI6u6miyzqnfNKVCshIAAAAAUmt+Xf98m/85\nbf7LCkvYjRWWSSxfvlwPPfSQTj75ZA0fPlyFhYWqqKhQZWWliouLNWnSJM2YMUOxWMy0Nj///HNN\nmTJFJSUlqqysVElJifr376+LL75YmzZtsq0Os3Q2WZcr3zSRrAQAAACAtnk8Hvl8vsT9fJv/OWn+\nG09YOvUHzkPCMolrrrlGZ555ph577DEtXrxYjY2NKisrU3l5uRobG/Xuu+/q1FNP1eTJk1VTU9Pl\n9mbOnKnx48frmWeeUV1dncrKyhQIBLRq1Srddttt2n777bVw4ULL6zBLV5N1TjpoJ0OyEgAAAADS\n4/V683r+5/T5L2AVEpZt2HvvvfXYY49p/fr1qq6u1qZNm7Rw4UJNnTpVkvTee+9pypQpXWrjo48+\n0hlnnKFwOKyddtpJn3/+uaqrq1VfX68nnnhCpaWlWrVqlQ455JCUBy0z6jCLWck6px60SVYCAAAA\nQMfk+/zPCfFneoUkKyzzDwnLJHbccUe9/fbbevfdd3XSSSepR48eicdGjBihJ598UkcffbQk6bXX\nXtPbb7/d6bYuueQShcNhde/eXbNnz9bYsWMlSW63W8cff7wee+wxSdLixYt1xx13WFaHGaLRqKnJ\nOicctJsjWQkAAAAAnZPv879sjz/TCUcSlvmHhGUS//d//6dJkya1Weaqq65K3H7ttdc61c4333yj\n999/X5J0wQUXqFevXluVOeKII7TzzjtLku6//35L6jCDx+NROBxO3DcrWZftB+04kpUAAAAA0DX5\nPv9zSvyAHUhYdtI222yTuL127dpO1fHiiy8mbsdXbCZzzDHHSJKWLFmir7/+2vQ6zND8QslmJ+uy\n/aBNshIAAAAAzJHv879sjT/TKyRZYZl/SFh20o8//pi4XVlZ2ak6PvvsM0lNB6Ttt98+Zbnx48dv\n9Rwz6zCTVcm6bD1ok6wEAAAAAHPl+/wvWfyNjY2mt9NRmU46kqzMLyQsO2nmzJmJ23vvvXen6liw\nYIEkafDgwXK7U/9TNF/N+d1335leh1l8Pp+lybpsG7RIVgIAAACANfJ9/tc6/rq6uhZnNgK5zpvp\nDjjR119/rbvvvluSNHLkSB1yyCGdqqeqqkqSWmzqk0zzxzdt2mR6He1pq3x1dbUkKRwOy+PxdKje\nzogPCPGBIv7b7kQhyUoAAAAAsFa+z/9axx8IBCxvMxUnr1Z0ar/zHQnLDtq8ebOOPfZYhcNhud1u\n3XPPPfJ6O/cy1tbWSpIKCgraLNf8QBh/jpl1tCedU96j0WiH6uyKTA9aJCsBAAAAwB75Pv+Lt7V5\n82bb2kyGhCXsxinhHRAOh3XcccclTsP+7W9/q/3226/T9cVP4TYMo81ysVhsq+eYWYcTZer0gEwP\nVgAAAACQb/J9/ldYWKji4mLb2wUyKW9WWNbV1aU8tbmwsFDdu3dv8/mxWEwnn3yyXnvtNUnS2Wef\nrWuvvbZLfSopKVFVVZXq6+vbLNf8QFxSUmJ6He2Jn3aeTHV1tYYOHdqh+sxi9zdt2TJYAQAAAEC+\nyff5X0FBgYLBYMbaZ4Ul7JY3CcuHH35YF154YdLHjjzySL3wwgspn2sYhs455xw99dRTkqQTTjhB\n99xzT5f71Lt3by1btkxr1qxps9zq1atbPMfsOtpTUVHRofJ2smvQyrbBCgAAAADyTb7P/8LhcMba\nJmEJu+VNwrKkpET9+/dP+lh7G9ZcdNFFevDBByVJP/vZz/Too4+aclr1tttuq3nz5mnFihUKBoMp\nL6C7ePHiFs8xuw6ns3rQytbBCgAAAADyDfO/zCBhCbs5/2KGaTr11FO1YsWKpD/xZGQyV111laZP\nny5JOvjgg/XUU091epOd1iZMmCCp6VuSuXPnpiz3wQcfJG6PHz/e9DpygVXXNGGwAgAAAIDswvwP\nyH15k7DsjBtuuEE33XSTJGn//ffXP/7xD/n9ftPqP/LIIxOZ/r///e9Jy0Sj0cSp6OPGjdOgQYNM\nryNXmD1oMVgBAAAAQHZi/mev+ApLp/7AeUhYpjB9+nRdffXVkqS9995bL774ogoKCjpUx9q1a7Vi\nxQqtWrUq6eP9+vXT8ccfL6npGpuff/75VmX+/Oc/a9myZZKkiy++2JI6colZgxaDFQAAAABkN+Z/\n9sl0wpGEZf7Jm2tYdsQjjzyiiy66SJI0atQo3Xfffaqqqkq5W3ZBQUHS62BOmjRJCxYsUFlZmaqr\nq5M+949//KPeeOMNrV+/Xvvvv79uvPFGTZ48WXV1dZo5c2bidPQDDjggkZi0oo5c0tVrmjBYAQAA\nAIAzMP8DchMJyyQeeeQRGYYhSVqwYIHGjBnTZvn9999fb7zxRqfaGjRokF555RUdffTRWrFihc49\n99ytyuy333569tlnU34rYEYduaazgxaDFQAAAAA4C/M/6zl5paJT+53vSFgm0bNnz5Q7iqcqn0yf\nPn1UW1ursrKyNp+/22676euvv9aDDz6oWbNmafny5QoEAho5cqSmTp2q4447rt3/YGbUkWs6Omgx\nWAEAAACAMzH/sxYJS9iNhGUSzzzzjCn1vP3222mXLSsr08UXX9yla0yaUUeuSXfQYrACAAAAAGdj\n/gfkDhKWyHntDVoMVgAAAACQG5j/WYMVlrAbCUvkhVSDVuvbDFYAAAAA4GzM/8xHwhJ2I2GJvNHW\noCUxWAEAAABArmD+BzgbCUvkldaDVhyDFQAAAADkFuZ/5mGFJexGwhIAAAAAAAApkbCE3dyZ7gBg\np9YXWI7bsmWLGhoaMtAjAAAAAIAVmP8hU37729+qvLw88bNs2bJMd8lxWGGJvJFsNzgp9e5xAAAA\nAABnYv5nLlZYpu/TTz/VTTfdpEgkkvhbLBaztQ+5gIQl8kKywar5wMSgBQAAAAC5gfmfNZyasLRT\nOBzWaaedpkgkogEDBmjFihWZ7pJjcUo4cl57g1VhYWHi2zaJ0wMAAAAAwKmY/1kjvsLSqT92ueGG\nG/Tll19qzz331Iknnmhbu7mIhCVyWnuDVRyDFgAAAAA4G/M/ZNJXX32lG2+8UT6fT/fffz8rUruI\nU8KRs9IdrOLij3F6AAAAAAA4C/M/a3ENy7ZFo1GddtppCofD+s1vfqPtttvO8jZzHQlL5KSODlZx\nDFoAAAAA4CzM/6xHwrJtN998sz755BONGDFCV199teXt5QNOCUfO6exgFcfpAQAAAADgDMz/kGnz\n58/X9ddfL0m69957VVBQkOEe5QZWWCKndHWwiuObNgAAAADIbsz/7JMrKyyrq6vbLFtRUdGhumOx\nmE4//XQFg0FNmzZN++23X2e6iCRIWCJnmDVYxTFoAQAAAEB2Yv5nr1xJWA4dOrTNsoZhdKjuv/zl\nL5ozZ4569OihW2+9tVP9Q3KcEo6cYPZgFcfpAQAAAACQXZj/IRssWrRI11xzjSTptttuU/fu3TPc\no9zCCks4nlWDVRzftAEAAABAdmD+lxm5ssJyyZIlKi8v73KdhmHo9NNPV0NDgw444ACdfPLJXa4T\nLZGwhKNZPVjFMWgBAAAAQGbl+/zP5/NlrO1cSViWl5d3+DqVyTz99NN67733VFBQoHvvvbfL9WFr\nJCzhWHYNVnHZOmgBAAAAQK7L9/lfY2OjAoFARtrG1tavXy9JCofDGjduXNIyjY2Nids77rij3G63\nunfvrsWLF9vSR6cjYQlHsnuwisu2QQsAAAAAcl2+z/8aGhpUV1dna5ut5coKS7NFo1HV1NS0Wy7+\n3vF6ScOli013YAqPx2NbW5karOK4EDMAAAAA2CPf53+t48+UeMLSqT9mO/vss7Vp06Y2f379618n\nyn/xxRfatGmTlixZYnpfchWpXZjC5/MpGo1a3k6mB6u4bPmmDQAAAAByVb7P/1rHHwwGLW0P6fP7\n/fL7/W2WaX4Kf7du3UzZ7CefkLCEacLhsBoaGiw7aGfLYBVH0hIAAAAArJHv87/W8RcXF2vNmjWW\ntJUOTgmH3UhYwlRWHbSzbbCKI2kJAAAAAObK9/lfsvgzuUO4RMIS9uMaljBFOBxO3Db7mh7ZOljF\nZfqaJgAAAACQK/J9/pft8QN2IWEJU0Sj0Rbf+Jh10HbKwZqkJQAAAAB0Tb7P/7I5/kxvmpNtm+6k\n47rrrktswDNo0KCM9MHJOCUcpvF4PCouLjZteXw2H6yT4fRwAAAAAOicfJ//ZXv8nBLecQUFBSoo\nKMhI27mAhCVMZdZBO9sP1qmQtAQAAACAjsn3+Z8T4idhCbtxSjhM19Xl8U44WLeF08MBAAAAID2R\nSCSv539On/8CVmGFJSzR2W+acuVgzUpLAAAAAGhbNBpVOBxO7IeQb/M/p81/WakIO5GwhGU6etB2\n2sG6PSQtAQAAACC1SCSSuJ1v8z+nzX85JRx2I2EJS6V70HbawTpdqeIHAAAAADTJ9flfvsx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          }
        }
      ],
      "source": [
        "opt_params = params_history[-1]\n",
        "\n",
        "sim_final = make_2D_apodized_grating_sim(opt_params)\n",
        "\n",
        "sim_final.plot_eps(y=0)\n",
        "plt.show()"
      ],
      "id": "8f91c394"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the coupling efficiency spectrum of the inverse designed grating\n",
        "coupler against that of the periodic one. A significant improvement can\n",
        "be observed. The coupling efficiency is improved from ~1.5dB to sub dB\n",
        "level."
      ],
      "id": "dc856d65-6029-40dc-8093-30fb7e8f56e0"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:24:08 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'Final design'</span> with resource_id                       \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-aa1ffea8-55b3-4b98-85db-ecbfbc0715fc'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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-aa1ffea8-55b3-4b98-85db-ecbfbc0715fc\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-aa1ffea8-55b</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-aa1ffea8-55b3-4b98-85db-ecbfbc0715fc\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">3-4b98-85db-ecbfbc0715fc'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"d52483f2505f4accafb89f615ae44e98\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:24:09 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:24:10 UTC </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c4893b80029d4dd1b47f46ce01d48deb\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:24:22 UTC </span>starting up solver                                                 \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:24:23 UTC </span>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"36a14f81081b4d47934f9e1c7276bc08\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:24:28 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span>%, exiting.                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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-aa1ffea8-55b3-4b98-85db-ecbfbc0715fc\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-aa1ffea8-55b</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-aa1ffea8-55b3-4b98-85db-ecbfbc0715fc\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">3-4b98-85db-ecbfbc0715fc'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"fb46a14c5fa04e9e814ac920fcaf6989\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">14:24:29 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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o0cJmj+u+iRMn0qdPH6ZMmZLwvRo1avDcc89RunRpwsPD6dKlC9u3b2f79u0888wzCe3q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\nflWgycdw+5R5luKJFebZSNYQdgu2jTMfBWtB1R5Qvg04e1h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Ht22DSonYSPh7LIytDP/8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\ngXNHHOsxBdKASZKng3Pg7hnjTO6yULSJW9oRERERERERJ8pSCKoPMs/t+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          }
        }
      ],
      "source": [
        "sim_data_final = web.run(sim_final, \"Final design\")\n",
        "\n",
        "ce_final = 20 * np.log10(\n",
        "    np.abs(sim_data_final[\"mode\"].amps.sel(mode_index=0, direction=\"-\").values)\n",
        ")\n",
        "plt.plot(ldas, ce_final, linewidth=3, label=\"Adjoint optimized\")\n",
        "plt.plot(ldas, ce, linewidth=3, label=\"Periodic\")\n",
        "plt.ylim(-5, 0)\n",
        "plt.grid()\n",
        "plt.xlabel(\"Wavelength (µm)\")\n",
        "plt.ylabel(\"Coupling efficiency (dB)\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "bb191b6d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, we can visually inspect the change of the design parameters.\n",
        "Interestingly, we can see that the most significant change occurs in the\n",
        "first few grating periods. The middle parts of the grating is largely\n",
        "unchanged."
      ],
      "id": "fa820209-ea39-4821-817f-cd42968dd7af"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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CJ13f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\nVrx2PNUA1LQz8w2yrLHKxi5SbU+sp72Baa6O9GX+vrcySXt8/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Pd5vvmLb/O7//SnfP47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3tO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frk5YnyS1jcSogh7JIBHLfrwfJb0wN0eIUF97PX4rCBBYsutwCUbUxHToqU3+SP6nxhzq17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\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          }
        }
      ],
      "source": [
        "plt.figure(figsize=(10, 5))\n",
        "plt.plot(opt_params, \"o-\", label=\"Adjoint optimized\", alpha=0.8)\n",
        "plt.plot(design_params0, \"o-\", label=\"Periodic\", alpha=0.8)\n",
        "plt.xlabel(\"Parameter index\")\n",
        "plt.ylabel(\"Value\")\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "6651aba7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Final Notes\n",
        "\n",
        "In this notebook we perform all simulations in 2D, which is a cost\n",
        "effective and reasonably accurate way of modeling and optimizing the\n",
        "grating coupler. In the next step, we need to create the full grating in\n",
        "3D (either a linear or focusing configuration) to verify and possibly\n",
        "further optimize the performance."
      ],
      "id": "c11450c6-a5d1-489b-9eb6-043c3fd5974f"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}