{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "18c8ebd2-739f-4821-ad99-864c433014df",
   "metadata": {},
   "source": [
    "# Topology optimization of a waveguide bend\n",
    "\n",
    "In this example, we will walk you through performing a simple inverse design optimization of a 3D waveguide bend.\n",
    "\n",
    "In this example, we'll be using a pixelated material grid to define the design region. However, one could also use shape parameterization to solve the same problem. If you're interested in that, we have a demo available [here](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd8WaveguideBend/).\n",
    "\n",
    "<img src=\"img/adjoint_18.png\" width=400 alt=\"Schematic of the wave\">\n",
    "\n",
    "If you are unfamiliar with inverse design, we also recommend our [intro to inverse design tutorials](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/) and our [primer on automatic differentiation with tidy3d](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd1Intro/).\n",
    "\n",
    "> Note: to see the simple, [high level definition](https://www.flexcompute.com/tidy3d/examples/notebooks/InverseDesign/) of the inverse design problem using `tidy3d.plugins.invdes`, jump to the 2nd to last cell!\n",
    "\n",
    "Before using Tidy3D, you must first [sign up](https://tidy3d.simulation.cloud/signup) for a user account. See [this link](https://docs.flexcompute.com/projects/tidy3d/en/latest/install.html) for installation instructions.\n",
    "\n",
    "\n",
    "## Setup\n",
    "\n",
    "First we import the packages we need and also define some of the global parameters that define our problem.\n",
    "\n",
    "> Important note: we use `autograd.numpy` instead of regular `numpy`, this allows `numpy` functions to be differentiable. If one forgets this step, the error may be a bit opaque, just a heads up."
   ]
  },
  {
   "cell_type": "code",
   "id": "8e90922d-93e9-4f35-bf11-167a891a6a19",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:12:43.359500Z",
     "start_time": "2026-03-17T09:12:43.305918Z"
    }
   },
   "source": [
    "import autograd\n",
    "import autograd.numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web"
   ],
   "outputs": [],
   "execution_count": 15
  },
  {
   "cell_type": "code",
   "id": "76bbc17e-4589-4285-acf3-f2ad2847cfd6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:12:43.439246Z",
     "start_time": "2026-03-17T09:12:43.399604Z"
    }
   },
   "source": [
    "# spectral parameters\n",
    "wvl0 = 1.0\n",
    "freq0 = td.C_0 / wvl0\n",
    "\n",
    "# geometric parameters\n",
    "eps_mat = 4.0\n",
    "wg_width = 0.5 * wvl0\n",
    "wg_length = 1.0 * wvl0\n",
    "design_size = 3 * wvl0\n",
    "thick = 0.2 * wvl0\n",
    "\n",
    "# effective feature size for device (um)\n",
    "radius = 0.150\n",
    "\n",
    "# resolution\n",
    "pixel_size = wvl0 / 50\n",
    "min_steps_per_wvl = wvl0 / (pixel_size * np.sqrt(eps_mat))"
   ],
   "outputs": [],
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "id": "4b0d462a-e017-41b1-b8a0-8d97f2d49259",
   "metadata": {},
   "source": [
    "Next, we will define all the components that make up our \"base\" simulation. This simulation defines the static portion of our optimization, which doesn't change over the iterations.\n",
    "\n",
    "For now, we'll include a definition of the design region geometry, just to have that on hand later, but will not include a design region in the base simulation as we'll add it later."
   ]
  },
  {
   "cell_type": "code",
   "id": "5c441d22-05b9-4e34-8717-fbda75eb0ca5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:12:43.636470Z",
     "start_time": "2026-03-17T09:12:43.484491Z"
    }
   },
   "source": [
    "waveguide_in = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(-wg_length - design_size / 2, 0, 0),\n",
    "        size=(2 * wg_length, wg_width, thick),\n",
    "    ),\n",
    "    medium=td.Medium(permittivity=eps_mat),\n",
    ")\n",
    "\n",
    "waveguide_out = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(0, waveguide_in.geometry.center[0], 0),\n",
    "        size=(wg_width, waveguide_in.geometry.size[0], thick),\n",
    "    ),\n",
    "    medium=td.Medium(permittivity=eps_mat),\n",
    ")\n",
    "\n",
    "design_region_geometry = td.Box(\n",
    "    center=(0, 0, 0),\n",
    "    size=(design_size, design_size, thick),\n",
    ")\n",
    "\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-design_size / 2.0 - wg_length + wvl0 / 3, 0, 0),\n",
    "    size=(0, wg_width * 3, td.inf),\n",
    "    source_time=td.GaussianPulse(\n",
    "        freq0=freq0,\n",
    "        fwidth=freq0 / 20,\n",
    "    ),\n",
    "    mode_index=0,\n",
    "    direction=\"+\",\n",
    ")\n",
    "\n",
    "mode_monitor = td.ModeMonitor(\n",
    "    center=(0, mode_source.center[0], 0),\n",
    "    size=(mode_source.size[1], 0, td.inf),\n",
    "    freqs=[freq0],\n",
    "    mode_spec=td.ModeSpec(num_modes=1),\n",
    "    name=\"mode\",\n",
    ")\n",
    "\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=[freq0],\n",
    "    name=\"field\",\n",
    ")\n",
    "\n",
    "sim_base = td.Simulation(\n",
    "    size=(2 * wg_length + design_size, 2 * wg_length + design_size, thick + 2 * wvl0),\n",
    "    run_time=100 / mode_source.source_time.fwidth,\n",
    "    structures=[waveguide_in, waveguide_out],\n",
    "    sources=[mode_source],\n",
    "    monitors=[mode_monitor],\n",
    "    boundary_spec=td.BoundarySpec.pml(x=True, y=True, z=True),\n",
    "    grid_spec=td.GridSpec.auto(\n",
    "        min_steps_per_wvl=min_steps_per_wvl,\n",
    "        override_structures=[\n",
    "            td.MeshOverrideStructure(geometry=design_region_geometry, dl=3 * [pixel_size])\n",
    "        ],\n",
    "    ),\n",
    ")"
   ],
   "outputs": [],
   "execution_count": 17
  },
  {
   "cell_type": "markdown",
   "id": "2b3ce430-dfc0-44d0-8bc4-eb28b2411aea",
   "metadata": {},
   "source": [
    "Let's visualize the base simulation to verify that it looks correct."
   ]
  },
  {
   "cell_type": "code",
   "id": "b91cc9ba-f9bc-41bc-beff-613834915229",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:12:43.871798Z",
     "start_time": "2026-03-17T09:12:43.649520Z"
    }
   },
   "source": [
    "ax = sim_base.plot(z=0.01)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 18
  },
  {
   "cell_type": "markdown",
   "id": "b8ee69e3-843c-4f61-9f44-6a84a29f5aec",
   "metadata": {},
   "source": [
    "## Define Parameterization\n",
    "\n",
    "Next, we will define how our design region is constructed as a function of our optimization parameters.\n",
    "\n",
    "We will define a structure containing a grid of permittivity values defined by an array. We will convolve our optimization parameters with a conic filter to smooth the features over a given `radius`. Then we will add a pixel-by-pixel thresholding function to project the values to be more binarized. We'll then map the result to the permittivity range between air and that of the waveguide.\n",
    "\n",
    "For more details on the parameterization process, we highly recommend [our short tutorial](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/Inverse-Design-in-Photonics-Lecture-4-Fabrication-Constraints/), which explains the process in more detail.\n",
    "\n",
    "The filter and projection functions are included in our `tidy3d.plugins.autograd` plugin, which contains many other useful convenience tools. We'll import a single transformation function from there to avoid needing to implement it.\n",
    "\n",
    "We'll expose the projection strength `beta` as a free parameter so we can change it during the course of optimization."
   ]
  },
  {
   "cell_type": "code",
   "id": "f4fe3178-7973-45bf-af88-cc056dddf373",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:12:43.890783Z",
     "start_time": "2026-03-17T09:12:43.880110Z"
    }
   },
   "source": [
    "from tidy3d.plugins.autograd import make_filter_and_project\n",
    "\n",
    "filter_project_fn = make_filter_and_project(radius=radius, dl=pixel_size)\n",
    "\n",
    "\n",
    "def get_density(params: np.ndarray, beta: float) -> np.ndarray:\n",
    "    \"\"\"Get the density of the material in the design region as function of optimization parameters.\"\"\"\n",
    "    return filter_project_fn(params, beta=beta)\n",
    "\n",
    "\n",
    "def get_design_region(params: np.ndarray, beta: float) -> td.Structure:\n",
    "    \"\"\"Get design region structure as a function of optimization parameters.\"\"\"\n",
    "    density = get_density(params, beta=beta)\n",
    "    eps_data = 1 + (eps_mat - 1) * density\n",
    "    return td.Structure.from_permittivity_array(eps_data=eps_data, geometry=design_region_geometry)"
   ],
   "outputs": [],
   "execution_count": 19
  },
  {
   "cell_type": "markdown",
   "id": "90110e4f-9ea4-48fc-b311-c5b568540333",
   "metadata": {},
   "source": [
    "Next, it is very convenient to wrap this in a function that returns an updated copy of the base simulation with the design region added. We'll be calling this in our objective function. We'll also add some logic to exclude field monitors if they aren't needed, for example during the optimization."
   ]
  },
  {
   "cell_type": "code",
   "id": "c4598fe8-b992-48de-9876-b28a557291df",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:12:43.940695Z",
     "start_time": "2026-03-17T09:12:43.934957Z"
    }
   },
   "source": [
    "def get_sim(params: np.ndarray, beta: float, with_fld_mnt: bool = False) -> td.Simulation:\n",
    "    \"\"\"Get simulation as a function of optimization parameters.\"\"\"\n",
    "    design_region = get_design_region(params, beta=beta)\n",
    "    sim = sim_base.updated_copy(structures=sim_base.structures + (design_region,))\n",
    "    if with_fld_mnt:\n",
    "        sim = sim.updated_copy(monitors=sim_base.monitors + (field_monitor,))\n",
    "    return sim"
   ],
   "outputs": [],
   "execution_count": 20
  },
  {
   "cell_type": "markdown",
   "id": "6193eeca-2b7e-4aec-8c2a-774559341369",
   "metadata": {},
   "source": [
    "Next, let's create a set of initial parameters (initially uniform with halfway values of 0.5) and see what the initial simulation looks like!"
   ]
  },
  {
   "cell_type": "code",
   "id": "27274602-19af-4353-82a5-f9807eeccb0a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:12:44.485494Z",
     "start_time": "2026-03-17T09:12:43.985515Z"
    }
   },
   "source": [
    "num_pixels_dim = int(design_size / pixel_size)\n",
    "\n",
    "params0 = np.ones((num_pixels_dim, num_pixels_dim, 1)) * 0.5\n",
    "# params0 = np.random.random((num_pixels_dim, num_pixels_dim, 1)) # if you want random, uncomment\n",
    "sim0 = get_sim(params0, beta=50.0)\n",
    "\n",
    "_, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 4))\n",
    "sim0.plot_eps(z=0.01, ax=ax1)\n",
    "sim0.plot_eps(x=0.01, ax=ax2)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 4 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 21
  },
  {
   "cell_type": "markdown",
   "id": "9c0c4498-1ff0-4902-bc61-7bacd0791c1b",
   "metadata": {},
   "source": [
    "We can also run a quick simulation with a field monitor added to verify how poorly the initial device is coupling. This gives us lots of room to improve things through optimization!"
   ]
  },
  {
   "cell_type": "code",
   "id": "367a6e58-645b-40e1-b868-3f297725f226",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:13:01.513554Z",
     "start_time": "2026-03-17T09:12:44.498609Z"
    }
   },
   "source": [
    "sim_data_init = web.run(sim0.updated_copy(monitors=[field_monitor]), task_name=\"initial_bend\")"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:12:45 CET\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'initial_bend'\u001b[0m with resource_id                       \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m.  \n"
      ],
      "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\">10:12:45 CET </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'initial_bend'</span> with resource_id                       \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=143658;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=937573;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=143658;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=948744;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=143658;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3\u001b\\\u001b[32m-a33c68c6-c7c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=143658;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3\u001b\\\u001b[32m6-4a89-b700-1403fbc350e3'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ],
      "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-a33c68c6-c7c6-4a89-b700-1403fbc350e3\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a33c68c6-c7c6-4a89-b700-1403fbc350e3\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">6-4a89-b700-1403fbc350e3'</span></a>.                                         \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=604433;https://tidy3d.simulation.cloud/folders/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "a991579c7d894bb08538367830a70c80"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:12:55 CET\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.301\u001b[0m. Minimum cost depends on task     \n",
       "\u001b[2;36m             \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed  \n",
       "\u001b[2;36m             \u001b[0mFlexCredit cost after a simulation run.                            \n"
      ],
      "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\">10:12:55 CET </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.301</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:12:56 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                   \n"
      ],
      "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\">10:12:56 CET </span>status = success                                                   \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "8d9800f17998458ba76afafa9a8992c9"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:13:01 CET\u001b[0m\u001b[2;36m \u001b[0mLoading results from simulation_data.hdf5                          \n"
      ],
      "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\">10:13:01 CET </span>Loading results from simulation_data.hdf5                          \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 22
  },
  {
   "cell_type": "code",
   "id": "2a181857-8388-43bb-ab7e-eb38587242b9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:13:02.672970Z",
     "start_time": "2026-03-17T09:13:01.518963Z"
    }
   },
   "source": [
    "fig, ((ax0, ax1), (ax2, ax3)) = plt.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
    "sim0.plot_eps(z=0.01, ax=ax0)\n",
    "ax1 = sim_data_init.plot_field(\"field\", \"E\", \"abs^2\", z=0, ax=ax1)\n",
    "ax2 = sim_data_init.plot_field(\"field\", \"Ex\", z=0, ax=ax2)\n",
    "ax3 = sim_data_init.plot_field(\"field\", \"Ey\", z=0, ax=ax3)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x700 with 8 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 23
  },
  {
   "cell_type": "markdown",
   "id": "90d90143-d5aa-4406-81ee-68119d5cb85b",
   "metadata": {},
   "source": [
    "## Define Objective Function\n",
    "\n",
    "The next step is to define the metric that we want to optimize, or our \"figure of merit\". We will first write a function to compute the transmission (between 0-1) of the output mode given the simulation data. \n",
    "\n",
    "We'll also use the `tidy3d.plugins.autograd` tools to create a penalty for feature sizes smaller than our `radius` parameter defined earlier."
   ]
  },
  {
   "cell_type": "code",
   "id": "16c24074-d66f-4e62-83d8-4e12aa069981",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:13:02.686923Z",
     "start_time": "2026-03-17T09:13:02.678592Z"
    }
   },
   "source": [
    "from tidy3d.plugins.autograd import make_erosion_dilation_penalty\n",
    "\n",
    "\n",
    "def get_transmission(params: np.ndarray, beta: float) -> float:\n",
    "    \"\"\"Get transmission in output waveguide fundamental mode.\"\"\"\n",
    "    sim = get_sim(params, beta=beta)\n",
    "    data = web.run(sim, task_name=\"bend\", verbose=False)\n",
    "    mode_amps = data[\"mode\"].amps.sel(direction=\"-\").values\n",
    "    return np.sum(np.abs(mode_amps) ** 2)\n",
    "\n",
    "\n",
    "penalty_fn = make_erosion_dilation_penalty(radius=radius, dl=pixel_size, beta=10.0)\n",
    "\n",
    "\n",
    "def get_penalty(params: np.ndarray, beta: float) -> float:\n",
    "    \"\"\"Get penalty due to violation of fabrication constraints.\"\"\"\n",
    "    density = get_density(params, beta=beta)\n",
    "    return penalty_fn(density)"
   ],
   "outputs": [],
   "execution_count": 24
  },
  {
   "cell_type": "markdown",
   "id": "e0869f1f-a34d-457f-9ca9-4e855774c929",
   "metadata": {},
   "source": [
    "Next we can put everything together into a single objective function. We'll add a flag that ignores the simulation run, if we want to just test our parameterization quickly without running FDTD."
   ]
  },
  {
   "cell_type": "code",
   "id": "0f39f538-7c6c-46b6-9bb9-f25c6713431f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:13:02.734197Z",
     "start_time": "2026-03-17T09:13:02.729795Z"
    }
   },
   "source": [
    "def objective(params: np.ndarray, beta: float, only_penalty: bool = False) -> float:\n",
    "    \"\"\"Objective function.\"\"\"\n",
    "    penalty = get_penalty(params, beta=beta)\n",
    "\n",
    "    if only_penalty:\n",
    "        return -penalty\n",
    "\n",
    "    transmission = get_transmission(params, beta=beta)\n",
    "    return transmission - penalty"
   ],
   "outputs": [],
   "execution_count": 25
  },
  {
   "cell_type": "markdown",
   "id": "fcd0837e-57b7-438e-82d4-1ec72b571493",
   "metadata": {},
   "source": [
    "## Optimization\n",
    "\n",
    "Getting the gradient of the `objective` function is easy using `autograd`. Calling `g = autograd.value_and_grad(f)` returns a function `g` that when evaluated returns the objective function value and its gradient.\n",
    "\n",
    "We use this as it's more efficient and we don't have to re-compute the objective during the gradient calculation step if we want to store the value too.\n",
    "\n",
    "Let's construct this function now and have it ready to use in the main optimization loop."
   ]
  },
  {
   "cell_type": "code",
   "id": "42bbb42d-2ec3-49fd-a91c-6b4e64009dc9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:13:02.779547Z",
     "start_time": "2026-03-17T09:13:02.777166Z"
    }
   },
   "source": [
    "val_grad_fn = autograd.value_and_grad(objective)"
   ],
   "outputs": [],
   "execution_count": 26
  },
  {
   "cell_type": "markdown",
   "id": "c4dea036-cb09-47e3-ad9e-156a47bbfffe",
   "metadata": {},
   "source": [
    "Next we will run the optimizer, we first make a cell to define the parameters and some convenience functions and objects to store our history."
   ]
  },
  {
   "cell_type": "code",
   "id": "20a041a9-cd33-4310-889b-8da46dc630b3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:13:02.831764Z",
     "start_time": "2026-03-17T09:13:02.823076Z"
    }
   },
   "source": [
    "from tidy3d.plugins.autograd import adam, apply_updates\n",
    "\n",
    "# hyperparameters\n",
    "num_steps = 25\n",
    "learning_rate = 1\n",
    "\n",
    "# initialize adam optimizer with starting parameters\n",
    "params = 0.5 * np.ones_like(params0)\n",
    "# params = np.random.random(params0.shape) # uncomment to use random initial parameters, if you're feeling lucky\n",
    "\n",
    "optimizer = adam(learning_rate=learning_rate)\n",
    "opt_state = optimizer.init(params)\n",
    "\n",
    "# beta as a function of step number, ramping it up leads to better results generally\n",
    "beta_min = 5\n",
    "beta_max = 20\n",
    "\n",
    "\n",
    "def get_beta(step_num: int) -> float:\n",
    "    \"\"\"projection strength as a function of step number.\"\"\"\n",
    "    return beta_min + (beta_max - beta_min) * step_num / (num_steps - 1)\n",
    "\n",
    "\n",
    "# store history\n",
    "objective_history = []\n",
    "param_history = [params]"
   ],
   "outputs": [],
   "execution_count": 27
  },
  {
   "cell_type": "markdown",
   "id": "edf7c795-8343-4a3a-8c0d-a2e521c66131",
   "metadata": {},
   "source": [
    "And then we can iteratively update our optimizer and parameters using the gradient calculated in each step.\n",
    "\n",
    "We'll throw in a quick visualization of our device material density just to keep an eye on things as the optimization progresses.\n",
    "\n",
    "> Note: the following optimization loop will take about half an hour. To run fewer iterations, just change `num_steps` to something smaller above."
   ]
  },
  {
   "cell_type": "code",
   "id": "921419b7-dea0-4c86-a706-968650b1e292",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:33:21.630951Z",
     "start_time": "2026-03-17T09:13:02.878002Z"
    }
   },
   "source": [
    "%%time\n",
    "for i in range(num_steps):\n",
    "    print(f\"step = {i + 1}\")\n",
    "\n",
    "    beta = get_beta(i)\n",
    "    print(f\"beta = {beta:.2f}\")\n",
    "\n",
    "    sim_i = get_sim(params, beta=beta)\n",
    "    _, ax = plt.subplots(figsize=(2, 2))\n",
    "    sim_i.plot_eps(z=0, ax=ax, monitor_alpha=0.0, source_alpha=0.0)\n",
    "    plt.axis(\"off\")\n",
    "    plt.show()\n",
    "\n",
    "    # re-compute gradient and current objective function value\n",
    "    value, gradient = val_grad_fn(params, beta=beta)\n",
    "\n",
    "    # outputs\n",
    "    print(f\"\\tJ = {value:.4e}\")\n",
    "    print(f\"\\tgrad_norm = {np.linalg.norm(gradient):.4e}\")\n",
    "\n",
    "    # compute and apply updates to the parameters using the gradient (-1 sign to maximize)\n",
    "    updates, opt_state = optimizer.update(-gradient, opt_state, params)\n",
    "    params[:] = apply_updates(params, updates)\n",
    "\n",
    "    # we need to constrain the values between (0,1)\n",
    "    np.clip(params, 0, 1, out=params)\n",
    "\n",
    "    # save history\n",
    "    objective_history.append(value)\n",
    "    param_history.append(params)"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 1\n",
      "beta = 5.00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = -9.8748e-01\n",
      "\tgrad_norm = 1.1811e-02\n",
      "step = 2\n",
      "beta = 5.62\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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ddDodQkJCEBUVhdjYWOzatcukOr906VL8+uuvSElJgZ+fH4Cn4tG/f3+8+uqruHv3LlxcXLB582YYDAZ88sknJudat24dIiIiMHz4cPz73//G7du3sXHjRrz22muVuoorIhaLMXz4cJw5cwarVq2qtP3kyZOYOnUqBg8ejPv372Pbtm2wtbXFqVOnEBISghdffLHO16YqdDodzp8/jzfffLNuO5rdL2MhqampZMaMGcTV1ZWIRCLSrl07Mn/+/EpBYlV15xLytGs2ICCACAQC4u7uTt544w2TILFHjx6RWbNmkfbt2xOxWEycnJzI0KFDyZkzZ2iZ6OhoMnbsWOLl5UWEQiHx8vIiU6ZMqRRqXBFz99NqteTLL78kXbt2JSKRiDg6OpLevXuTTz75hCiVSpOy27dvJz179qTlhgwZQk6fPk23Z2dnk9GjRxM7OzuzgsT27dtHj+fk5FRjkFhFmG6+2rh06RLp378/sbGxIV5eXuT9998nf/75ZyV7iouLyX/+8x/i4OBQa5BYVUFlzFLfIDFCnoaYr169mvj6+hKhUEi6du1K/u///q9SOaYbOyUlxWR9YWEhmT17NnF2dia2trZkyJAh1T6jhw8fJsHBwUQkEhFvb2+ybNkyotVqzbLz0KFDhMPhmHT3Ml21q1evJuHh4UQkEhF/f39y4MAB8uGHHxJbW1vyySefEEL+dw8rhhNUd8+HDBlCunbtarLujz/+IABIcnKyWTYzcAhh521hYWkuDAYDAgMDMWnSJHz66acAgMePH8Pf3x+//PILXnnllUa3Ydy4ceBwOLRZZC7sqFoWlmaEx+Nh1apV2LRpU7MMyU9MTMSxY8eocNUFVjxYWJqZyZMno7CwsFmG5Hfp0gV6vd7seKzysOLBwsJiEazPg4WFxSLYmgcLC4tFtJjw9JaO0WhEZmYm7OzsLBrIxvLsQQhBUVERvLy8ahwj9azCioeZZGZm4vvvvwefb3rJCCGQy+X1ivoTCoUmEbEikQhGoxFarbZeNtcFPp8PPp8PvV4PvV5vYlNTtWw5HI7Jb69oU1PA5XLh5OQELpdLI4EZYSgfRcqwevVqpKenmzU2pSI1fYSswZvAioeZ2NnZgc/nw9bW1uQrQwiBn5+fxQPPgKe1GpVKRUOkBQIB7O3tm/xrptFoaDg9l8uFTCarJJaNjV6vh1KppC+uRCKBra1tk53fYDAgLy8Per3e5J4KBIJKLztjo52dnUXnsvbaCiseZsI8OFwuFwKBAMDTh8doNEIkEplkRbMEgUBAcyk4OztXmSOisRGLxbT2IxaLzc8o1cDodDo6/J2pBTQVWq0WPB4PHA6HirlIJKpSRJntljZjrV08rNv6ZwStVouCggIIBAIIBAIUFBQ0aZMFeCqEBQUF4HA4EIvFKC0trTSqsykoKipCaWkpxGIxOBwOCgoK6j3sv64YjUbodDpwOBxwOBxotdpGaTYxx69qsQbYmkczo9VqkZ+fD4FAQPM7FBQUID8/Hy4uLvWu0ZgDIxw6nY6es6ioiCb+sbRaXleYc9rb28POzo5em4KCAjg7OzfJl1qn00Gv11MRBZ6OoGbEvCGbcWzNg8ViKgoHl8sFl8uFs7MzbcY0dg2kKuEAngqGvb09VCpVk9RAKgoH8NSR7OLiAp1O1yQ1EK1WC7lcTh23zP0QiUSNUgNhjl/VYg1Yh5XPIFUJB0NTCUh1wsHQVAJSlXAwNJWAMPeDz+dTnwdDYwkIKx4sdaYm4WBobAGpTTgYGltAahIOhsYWkPL3w8HBodr70dACwooHS50wRzgYGktAzBUOhsYSEHOEg6GxBKSu96O8gNTXBlY8WMymLg8qQ0MLSF2Fg6GhBaQuwsHQ0AJi6f1gBKS+tQ9WPFoRPB7P4sg/Sx5UhoYSEEuFg6GhBMQS4WBoKAGp7/1oiDgcaxcPtqu2juh0OnqDjUYjCCEmyXOr20cul4PP58Pe3t7iL5a9vT3kcjlyc3Ph6OhIg9XMgQmj1+v1NPO5JSIkEolga2sLhUIBvV4PiURSp/3VajWKi4shlUohEoksFkKZTGZyLeoSG1HT/dDpdCCEmCVK9e22tRaRqA5WPOoAE7Ks0+nA5/NBnk4UjrKysirHPQCg4zSYKNSasrWbg42NDbRaLdRqNR1/UhuEEGi1WnC5XEilUhgMhmrtNQcejweJRAKtVgtCiNkvkV6vh06ng0QiAY/Ho1GkliKVSqHVaqFSqSAUCs0SkNruh16vh9FoNOtY9Q3mYsWjFaFQKNC1a1doNBrw+Xz68I4aNapOKetZWi5KpRInTpyASCSqtWZXX/FjxaMVYTQaIRaLIZVKkZ+fj+LiYtjY2EAmk8HJyam5zWNpIPh8PgQCQa0+oYZwmFoz1m19M8E47fR6fZOPQWF5drB2h6l1WNkCEQqFcHR0tIq8CywtE3ZgXCvGnKotC0t1WEsNozpY8agn1v4AsDQf1v7ssOLBwtJMWLt4tCjr16xZg5CQENjZ2cHNzQ3jxo1DUlJSrftFRkYiICAAYrEYQUFBOHHihMl2QgiWL18OT09P2NjYIDw8HMnJyQ1ic1MnqmF5dmAdpg3I+fPnMX/+fFy5cgWnT5+GTqfD8OHDaV7Nqrh8+TKmTJmC2bNn48aNGxg3bhzGjRuH27dv0zJr167Fd999h61bt+Lq1auQSCQYMWJEvfvpdTod29vCYjHWLh4tqtly8uRJk7937NgBNzc3XL9+HYMHD65yn2+//RYjR47Ee++9BwD49NNPcfr0aWzcuBFbt24FIQQbNmzAsmXLMHbsWADAb7/9Bnd3d0RFReHf//53lcctKysziT5ksmoxMIljmiPXKMuzgbWIRHW0aOuVSiUA1BiAFRcXh/DwcJN1I0aMQFxcHAAgJSUF2dnZJmVkMhn69etHy1TFmjVrIJPJ6NK2bVu6rXziGLa3hcVSrL3m0WKtNBqNWLhwIZ577rkaJ+HNzs6Gu7u7yTp3d3dkZ2fT7cy66spUxdKlS6FUKumSnp4O4GlUITMas64DslhYymPt4tGimi3lmT9/Pm7fvo2LFy82y/lFIlGlJgmHw4FSqYRYLIazs3OTTUTE8mxiLSJRHS3S+gULFuDYsWOIiYmpdSYuDw8P5OTkmKzLycmBh4cH3c6sq66MuYhEIvB4vCbL5M3SsmEzibUgCCFYsGABDh8+jLNnz8Lf37/WfUJDQxEdHW2y7vTp0wgNDQUA+Pv7w8PDw6SMSqXC1atXaRlzMRqNzTKTG0vLg5nlrz5Yu3i0qGbL/PnzsXv3bhw5cgR2dnbUJyGTyWBjYwMAmDFjBtq0aYM1a9YAAN555x0MGTIEX3/9NUaPHo29e/ciPj4e27ZtA/C0qbFw4UJ89tln6NixI/z9/fHxxx/Dy8sL48aNq5N9TE4MltYNk5GtPjlRgPrnA2luWpR4bNmyBQDw/PPPm6z/5Zdf8MorrwAA0tLSTF7gAQMGYPfu3Vi2bBk+/PBDdOzYEVFRUSZO1vfffx9qtRpz586FQqHAwIEDcfLkSTqpDwuLuZRP5VjfHC7W/iFqUeJhzgjVc+fOVVo3ceJETJw4sdp9OBwOVq1ahVWrVtXHPJZWTsUcsK09n0eLEg8WlpZAVR+xqpJHs+LBwsJiglarNWnS1jfrfHVYu3hYt/UsLI0Ak2neaDQ2mnAAbG8LC8szh1AoRHFxMfLz8wE8jSpuaOEA2JoHSyNTU6o6ZmG+VuaUNXeRSCQICwtDTEwMioqKYDAYKvkCmDlrHjx4gHnz5sHW1pZOEl2VjRKJBC+88AJiY2Oh0WhokJXRaIRSqcTWrVvh4+MDPp9fq32NCZfLhYODA3Q6HXQ6HZydnRtlDJO11zysw0qWSpQXjYpLQ7xcTHU9JSUFKpUKOp0OBoOBTnRV3g6JRIJ27drBxsYGPB6vWhuMRiPy8/ORnp5OxYOZ+4bL5cLNzQ329vbg8Xj1tr8+EEJQXFxM/1apVI2St8XaxYNttlgZHA4HQqEQ9vb28PT0hKurK6RSKbhcLhQKBfLz81FQUIDi4mI6GXNVX23mpS0vCMwCPHUaJiUlYfny5di7dy/69euHwMBA+Pn5wc/PD3Z2dhAIBOBwOJDJZJg+fTqcnZ1x6tQp3Lp1Czk5OVCr1dDpdPT4Wq0W9+7dw7JlyxATE4OXXnoJ/fr1g0gkgsFgQGBgIF555RXs3r0bd+7cobO3NTVarRZ6vR5ubm4AQK9pQw9LsBaRqA5WPKwMDocDJycnDBgwACNHjkRAQACd8jE3NxcPHz5EfHw87ty5g7y8PGi1WkgkEjg6OsLJyQkSiYTO8q5Wq5GVlQWlUoni4mKUlZXRGdOYJkleXh4uXbqEhIQESKVSuLq6YsCAARgwYAB69OgBFxcXiMVi2NnZYezYsRg8eDASExMRExOD2NhYpKSkQKlUmghIRkYGDh48iL/++guzZ89GSEgInJ2dwePx0L9/fxBCsGXLFmRlZTXIbPR1hRACR0dH2lRxcXFpFAFhxYOlSeFyuXByckK3bt3QtWtXeHt7QygUghBCmw0ajQalpaWwsbGBwWBAly5dEBwcjICAALi5udFQf61Wi8zMTKSlpeHu3btITEzE48ePkZeXB5VKRWslTGIkpVKJrKwsPHjwAH/88Qd69+6NiIgIhISEwMXFBVKpFFKpFJ6enujduzdGjRqFqKgoREZGQqlUQq/XU1FSKpVITEzEunXr0KNHD4SFhSEoKAgODg4IDQ1Ffn4+jh07hsePH6O0tLRJBUQoFJrMFsfM09PQAsKKB0uTQghBUVERUlJSkJKSQmds1+v1yMzMxP379/HPP/9QX4VIJIKNjQ08PT3Rtm1buLi40NHBHA4H/v7+6Nu3L0pKSiCXy5Gamoq///4bv//+Ox4/fgylUknn4mUWlUoFtVqNnJwc3Lp1C//6178wfvx4BAUFQSQSgc/nQyQSwcHBAR07doRAIMCJEyeQkZGBsrIy2gWq0+mQlZUFuVyO5ORkDBw4EC+88AL8/PwwYsQI2NjY4ODBg3j48CHdrymo6qWuSkAa4zzWBCseVgbjdDx79izu378PV1dX8Pl8lJWVIT8/H4WFhSgqKkJpaSkMBgMEAgG4XC6dW5cRDsaxyWRDs7W1haOjI3x8fNCnTx8MHToU8fHxOHv2LP7++2/k5OSgpKSE1kaMRiMMBgOSk5ORl5eH27dvY+XKlejUqROdyFosFqNNmzZ455130KVLF/z666+4e/cu1Go17b3R6/XQaDRISUmBQqFAbm4uxo4di549e2LIkCEwGAzYv38/UlNT6cTazUVFAWFqcJbCDoxjaVIIISgtLUV2djby8vJoz0ZVzk/g6QOamJiI7Oxs3Lx5E4MHD0ZoaCjat29PfSDlvfxMraF79+7o2LEjwsLCcO3aNRw6dAjXrl1DQUEBysrKQAihtYeCggJcvHgRK1euxPTp0zF48GC4uLhAIBCAx+OhTZs2mDBhAry9vbFt2zZcunQJSqWSCkj548TGxqK4uBht2rSBm5sbBg0aBKVSicOHDyMnJwc6na5Zr395AamvLWzNoxXB57eMy8V8+c0dW6HRaFBSUoLs7GxcvHgRNjY2cHJyQvv27fGf//wHISEhaNOmDa0xME0hkUgEe3t7+Pv7Y9SoUbhz5w5+++03REZGmtQeDAYDiouLER0djatXr6Jr166YOXMmhg8fDnd3dwgEAjg5OeGFF15Az549cfz4cWzZsgVJSUkoKSmhYqfX66FUKnH58mV88803mDZtGgICAjBx4kR4eXnhwIEDuHfvXrNP8ckISMUEU3WFFY9WBJ/Ph0ajga2tbZOet2JgVPmahbmUr5nodDoUFxdT52f37t0xZswYDBo0CF5eXhCLxVQomZqNTCZD79694erqiry8PFy+fBkKhYI6QYGnU1GoVCokJCQgPz8faWlpmDJlCjp27AgejweBQABXV1dERESAz+dj48aNuHXrlskxmB6ZhIQEODk5wcHBAX5+fggLC4OHhweOHj3a7LUP4KmAsEPyWcxGr9dDrVZDJBLBzs6uSc4pFovB5XJpE8BoNKKkpMSkS7UuMMLD+CzS09ORl5eHW7du4bnnnsPLL7+MPn36wM3NzSRalPFh+Pv7Y+nSpfjpp5/w559/Ijc3l8ZyAIDBYEBpaSlSUlKwY8cOFBQUYMWKFXB0dASfzwefz4eTkxNGjRoF4Gmi6cLCwkoColKpcPnyZfj4+MDLywteXl7w9vZGaGhovZPwNBT1rYmy4tGK0Ov1kEgkNP1cU8zZMmDAADg4OKBNmzZwcHBASUkJLl26ROMnGCdieR8H82/5l7EqkWGaCmq1Gunp6Th69Cj++ecfjB49Gq+//jpcXV0hFApp7YPL5UIoFCIoKAiLFy9G27ZtcfDgQaSkpFBnKiNMWq0W2dnZOHToEPr06YNRo0bBycmpkoDExsbixIkTlQREr9cjLy8P586dQ9++feHj4wM7Ozu4uLg0+jVvKlqdeKSkpCA2NhapqanQaDRwdXVFz549ERoa2ioyc9na2kIkEkGlUtGxHI3Jhg0bIJFIYGtrC4FAAIPBgLFjx+Ls2bM4c+YMUlJSUFxcDIPBQB2eTOQn00QpX1NhagjlxYSJvSgqKsK9e/eQnZ2NkpISjB8/HgEBASbRpBwOB2KxGO3atcNrr72GwMBA7N27F9euXUN2draJ01av16OgoAAbN24EgCoFZMGCBQBQSUCY5svDhw9x/vx59OrVCw4ODi3G79QQtBrx2LVrF7799lvEx8fD3d0dXl5esLGxQWFhIR4+fAixWIypU6diyZIl8PX1bUybmx2myaJQKGh0Z2MREBBgElpOCEGPHj3g7u6OwMBAJCQkICMjA0ajES4uLnB1dYWDgwMEAgG0Wi1ycnJw/fp1pKenIz8/HxqNhoZfVxQTpsaQn5+PnTt34vr16xg7diyGDRsGX19fSCQSOmhNKBTCzc0Nw4cPR0BAAKKjo7Fx40ZkZWXRbmJGQO7du1etgAQEBNQoIMXFxYiNjcWoUaPg7u7+TE2y1SrEo2fPnhAKhXjllVdw8OBBk9nTgKdTM8bFxWHv3r3o06cPNm/eXGNawGcBOzs76PX6Rp+rlol0LO+r0Ov14HK58Pb2hpOTE+3N8PDwoM7O8mNYysrKoNFoUFhYiMzMTDx+/BjJycl49OgRbt26hYKCAqjVahoKbjAYUFBQgEuXLiE+Ph4bNmxAUFAQXnzxRQwZMgTt2rWDUCgEj8eDnZ0dAgMD0bFjRwwdOhQHDhxAZGQkUlNTaWBXSUkJbt26haVLlyI2NhYLFiygE5Pb2NggKCgIa9aswaBBg7Bx40bcu3eP9sLodDokJyfju+++g7u7O4KCgsDhcJ6JGkirEI8vvvgCI0aMqHa7SCTC888/j+effx6ff/45Hj9+3FD2tWgkEkmTdBsyX/CSkhLk5+fj+vXrePDgAeRyOWxtbeHj44POnTvTgVyMf4IREB6PR7tn/f390a9fP5SWlqKoqAh37tzBtWvXEBsbi6SkJCgUChMRKSkpQVZWFgoLC3Hnzh2cPXsWS5cuRfv27U26doVCITp37ozXXnsNbm5u2LZtGx48eEAFRK/Xo7CwECdOnAAAKiA2NjYmPhBCCL777jvcuXOH1l60Wi1u3ryJgwcPwsXFBXw+H15eXo1+3RubViEeNQlHRZydnRskdNdaaOwvoF6vpwPUrly5gmPHjuHSpUt0SLtYLIarqyu6deuGiIgItGvXDk5OTtRHwjQPuFwueDweDQJjBst5eHigX79+ePHFF/HHH3/g6NGjePjwIYqLi018FwaDARkZGSgsLIRWq8X06dMxcOBAWvNhmjKenp4YP348AGDz5s149OgRDSqrSkCCgoIqOVFLS0uxbNkyOhTeYDCgsLAQkZGR4PP5EIvFWLp0aaNe96agVYhHVeTm5iI3N7fSeIPu3bvX2yiW/5GZmYn09HQcOXIEx48fx5MnT0wS6XA4HOTk5CA5ORlxcXHw8vJCmzZt0KZNG3h7e8PDwwOdOnWiuTLKj2thBIUJBvPx8UGPHj2wfft2REdHm4wnKd8zExMTg/T0dPznP//BuHHj0KZNG4hEIuqwdXV1xdixY6FSqfDjjz8iLS3NRIjKC8iaNWtMfCDOzs4YM2YMDh8+jCtXrkCj0dDmS1paGn788UdwuVxWPFoAdRaP69evY+bMmUhMTDTpHiSEgMPhtJg++KaisZsta9euxZ07d5CYmAi5XE4dneVhelUePXqE1NRU2uPCDIrz9/dHz5498cILL6BHjx60tsA0bZimh6urK4YNGwY3Nzekp6fjwYMHKCkpMTmf0WiEWq1GYmIiNm/ejCdPnuCVV15Bhw4d6HB/Pp8PNzc3TJo0Cfn5+di2bRs9TkUBGTRokIkTlcfjwc3NDbNnz0ZeXh6SkpJozUWr1SIvL69Rr3dT0urGtsyaNQudOnXCzz//DHd3d6u/APWBeaAbk927d6OsrAxarbbKVICMHeUDv7RarUm8BzOu5fz585gwYQImTJiAtm3b0toCU47P58POzg7BwcFYtGgRfvjhh0oD2QDQYfoZGRnYt28f8vLyMHfuXPTr1w9CoRAcDgcCgQDe3t6YNWsWLly4QJ2gFQWkql4YgUCAIUOG4NGjR9iyZQvtAmb2e1ZodTWPR48e4eDBg+jQoUNj2GM1GI1GyOXyRn8AFApFnWo35QPDGAwGA83Hcf/+fRw7dgwLFizAsGHD4OLiYuJc5XK5sLW1xaRJkzBo0CCcOXMGhw8fxq1btyCXy+nwfEY4c3NzcfDgQVy6dAmrVq1CeHg4nJ2dIRAIqBP1559/xrZt2/D7778jNzeXBrbpdDraCxMXF4e3334bHTp0gFAohKurK2bPng0ul4uNGzciJyfnmRIOwPrFo87Wh4WF4ebNm41hi9XA5PfU6/WNHnfQUM0iZmyLWq3GP//8g2+++QYHDhxAQUEBSktLaY5S5nwikQje3t54+eWX8fnnn2Px4sUIDQ2Fm5ubSVcwExuSmZmJdevW4bfffkN6ejqtkfF4PHTq1AkLFizA9OnTK9V4mBrI8ePHsX37dmRkZNCuaAcHB/zrX/9Cr169IBKJnrlabqvLYfrTTz9h5syZuH37Nrp162aScQkAIiIiGsy4lkj5eTwcHR0b3cdT1QtTH0ExGo3QaDS4e/cu1q9fj4KCAvTr1w8+Pj5wdHSERCKhCX34fD5kMhm6du0KX19fDB48GH/88Qd+/PFHmuKwfDPkwYMH+OGHH5CXl4fZs2fD39+fjs5t164d5syZAxcXF2zfvt0kwY9er0d+fj6ioqLg5eWFadOm0Twlvr6+ePHFF/HPP/9QYXlWsBaRqI46i0dcXBwuXbqEP/74o9K21uAwZca1MGMsGvv3Vkw4w9QgqspkXhMVx7qUlpYiLS0NmzZtwv79+9G2bVt07twZffv2Ra9eveDv70+dqkKhEI6OjpBKpfD29oZYLMb+/ftx//59qNVqakdZWRkyMzOxf/9+GAwGzJs3D35+fhCJRBAKhfDy8sLkyZMhEomwZcsWPHjwAKWlpbQJk5WVhd27d8PPzw9jxowBn8+HjY0N+vfvj4CAAOTl5bHi0YKos3i89dZbmDZtGj7++GO4u7s3hk0tFqFQCIPBQMOkG9tZCgAvvvgi/T/zgqanp9PExbWl52McoeUTBjHOVUIICgoKIJfL8ejRI1y5cgXHjx9Hnz59sHLlSvj4+NAmBhPH4erqihkzZqBTp0746aefEBcXZ5LYR6fTITc3F4cOHYJEIsHcuXPRtm1bOjLY1dUV48aNg0ajwebNm5GammqSHPnBgwf49ddfMWTIEDg4OIDL5cLT0xODBw/GjRs3UFJS0ujXvKlodeJRUFCARYsWtTrhAJ7ebJlM1qTjK9auXWvyt16vR1paGi5cuICoqCgkJydX6k5lYHo9mK5ZjUaD4uJiOqVB+VqMXq9HWVkZ1Go18vLy4Onpiblz58Lf35/2oDDdus7Oznj++efh4uKCLVu24PTp05DL5fS4jIAcOHAAXl5emDVrFsRiMRUyFxcXjBs3DikpKdi+fbtJZjKNRoO//voL169fx4ABA2gIe2hoKKKioiCXy5s9GRCDRqOp1/7WLh51tn78+PGIiYlpDFtaPGVlZU0+psLHx8dkadeuHQYPHox3330XP//8M1566SWaK6MiXC4XYrEYHTt2RGBgIE30U50fhYkXUalU+Pnnn7Fo0SJcu3bNJCgNeBpVa29vj759++Lrr7/GF198gaCgIBppytQiUlJSsHr1apw/fx5FRUV0DhmBQABfX18sXrwYHTp0oPsBT5uB+fn5WLlyJS5fvgy1Wg0ul4tu3brhgw8+QK9evRAUFNR4F9xMioqKoFar63WMVucw7dSpE5YuXYqLFy/SB6Y8b7/9doMZ19Joji9eVS86M1alc+fOmDdvHtRqNWJjY+nkzEzAHvC0ppKbmwuhUEhDy2v7HYQQqNVqXLt2DVu3bsV///tfdOnSpcq4kJoS+zCO0B9++AGOjo4ICgqiyY14PB48PDwQFhaG7OxsyOVy6j8yGo1ISkrCrl274OXlBT8/P9jY2GDAgAH48MMPm6S5WBNFRUVQqVT1HlFtLSJRHRb1tkilUpw/fx7nz5832cbhcJ5p8WhJMLUKJjGPo6Mjjh49iqKiokqpAZ88eQIul0vnXjVHBI1GI1QqFaKjo2FnZ4cFCxagffv2NQrI+fPnceLECSoETBPm0qVL+Omnn7Bo0SK0b9+eNoNEIhHGjx+PhIQEXL9+3SSfKSOIPXv2xKRJk+Dk5ARHR0cMGzasySeBKg8jHA0xLWarE4+UlJTGsMNquHDhAs2hKRAIYGNjg6VLl0IulzfK+Wp60Xk8HiQSCXr27Ak3Nzc4Ozvj4sWLePz4MYqKimh6QKZHoy65Txl/SGFhIX7//XcAwNy5c9G5c2fY2tqaRLAyAvLmm29Co9HgzJkzdNIoQggUCgVOnjwJDw8PzJkzB56enjQUPTAwEP/+97+RlZWFtLQ0Km5MjSkqKgq9e/eGg4NDpcmYmprywmFnZ8f6PBrqQFlZWZWceyyND9OE8fPzw6JFi/DVV19h8eLFGDx4MDw8PCASiUx6V+oC8xLn5eUhKioKX3/9NRISEio1fRgBCQwMxOuvv44ePXrQ5gnwv5SCBw4cwKlTp0wmjra3t8fIkSMxZswYODk50a854zdJSkpCdHQ09S80hU+gqu7gisLREFi7z6POVs6aNavKZdq0afj0008bxKhNmzbBz88PYrEY/fr1w7Vr12osHxkZSZPLBAUF0RGbDIQQLF++HJ6enrCxsUF4eDiSk5MbxNaWANMN6ubmhl69emHWrFlYs2YNFi1ahODgYJqH1BLKj0M5deoUvvjiCxpBWlFAbGxs0LNnT8ycORNt27Y16SJmRsX+9ttvuHnzJq0NMbk5ZsyYgWHDhpk0B5imU2xsLM2W1hTodDoTZ2hjCAfwv6z4VS3WQJ2fKLlcbrLk5+fj2rVrOHfuHL766qt6G7Rv3z4sXrwYK1asQEJCAnr06IERI0YgNze3yvKXL1/GlClTMHv2bNy4cQPjxo3DuHHjcPv2bVpm7dq1+O6777B161ZcvXoVEokEI0aMQGlpab3tbSkw3ajMNI8BAQGYOnUqli9fjg4dOpjUBOoK04RRKpW4cuUKduzYgYyMjEr+Eyaz2NChQzFy5EjY29vTczKD6e7cuYM9e/YgKysLBoOBxo906NABc+bMQa9evWBjY0NFR6/XIzU1Fffv32+yKRcEAgGKi4tRVFTUaMIBtMKax+HDh02Wo0eP4vbt21i1ahWioqLqbdA333yDOXPm4NVXX0VgYCC2bt0KW1tbbN++vcry3377LUaOHIn33nsPXbp0waeffopevXrR0ZqEEGzYsAHLli3D2LFj0b17d/z222/IzMxsEHtbGuWznDPxGDt27MDkyZPh6upq0i1al+MBoPPUbtmyBe+99x4N2ipfIxAIBPDy8sKCBQsQEREBOzs7k25YpVKJqKgobNmyhX4QuFwuJBIJ+vfvj7Vr12LkyJEmSZwLCgpw7tw5KJVKi+asqSvM1JwqlarRhANoheJRHVOmTMG5c+fqdQytVovr168jPDycruNyuQgPD0dcXFyV+8TFxZmUB55mPmPKp6SkIDs726SMTCZDv379qj0m8DSmg3l4mKU5YAasWVJlZ3wRXbp0wVtvvYWIiAiLBaT8QLiioiLExsZWSjXIwOfz4e7ujoiICLRp08bkXMz+Z8+exT///EO7Z8vXQKZNmwY7Ozv6Eul0Ojx8+BCFhYVNIh5NBSse/5+bN2+iZ8+e9TpGfn4+Df8uj7u7O7Kzs6vcJzs7u8byzL91OSbwNMOVTCajS8Wkz03FgwcPkJ2dDY1GY3Y3a3mYqRI6d+6Mt99+G5MnTzbJ/GUOFZM+6fV6KBQK/PHHH9i2bRuSk5OpD6P8OYODgzFw4MBKCZl1Oh1SU1Nx4sQJGl0KPH2ZbGxsEBISgk6dOlGRYyanun//Ps383pjo9XoUFxfD3t4e9vb2UKlUKCoqavDzWLt41LmrdvHixZXW5eTk4MiRIxg9erTJ9m+++aZ+1jUjS5cuNfktKpUKn332WZPb8e6776Jdu3Z4/vnn6XSPjE/A3NoDExPSoUMHzJ8/H23atMGePXuQnJxMc5XWREXBKh8AdujQIZSUlGDu3Lno2bMnfeG5XC5cXFwwZswYHDx40CQIjInjOH/+PPLz89GmTRsaIcvj8ei8tkySZ6PRiLy8PJw8eRI9evSAQCCAj4+PBVfTPHQ6HaRSqUlThal5NmTzxVpEojrqLB43btyocn1ISAjNawpYlmLNxcUFPB6v0gTCOTk58PDwqHIfDw+PGssz/+bk5MDT09OkTHBwcLW2MEPJm5uYmBhcvnwZ0dHRGDRoEMaOHYv+/fvTOVTKJ/KpCWby6rZt22Lq1Klo3749du7ciTNnzkCj0dSYpay6/zMC8vvvv0OhUODLL7+Et7e3SRBYr1690KNHD1y9epWGuTP7pqen46+//oKTkxMkEgn9LQKBAM8//zyOHz9O41XUajVOnz4NFxcX2NjY4OOPP26YC1wFAoHAJHqUEYyGFpBWJx6NOa5FKBSid+/eiI6Oxrhx4wA8bSNHR0fTiYEqEhoaiujoaCxcuJCuO336NEJDQwEA/v7+8PDwQHR0NBULlUqFq1ev4o033mi039JQlJaW0nlXsrOzcfXqVcyaNQsDBw6Er68vpFIpHTpfG8yL6eLigmHDhsHf3x9GoxFXrlxBYWFhjc2imqarlMvlOHv2LLZu3UrzeDDdw05OTnjttdegUCiQmJiI0tJSKiBqtRqRkZEIDAw0GePC5XLRoUMH9O7dGw8ePIBOp4Ner0dWVhZ27NgBLpfbqOJR1TihxhAQaxePFmf94sWL8eOPP+LXX39FYmIi3njjDajVarz66qsAgBkzZphkzn7nnXdw8uRJfP3117h37x5WrlyJ+Ph4KjYcDgcLFy7EZ599hqNHj+LWrVuYMWMGvLy8qEC1ZMoPWFMqlUhMTMTatWuxZMkS/Prrr0hOTqY5Rs2BcaJKpVIEBARg2bJlmDp1aqUMX3WxT6/Xo6ioCPv378eOHTuQlZVF/RICgQDDhg3D66+/TieLKp8e4MqVK/jzzz+hVCpNMsI7ODhg4MCBcHR0pL0uTALkijXNpsLOzq5BfSCtwucxcuRIrFy5Ev3796+xXFFRETZv3gypVIr58+dbZNDkyZORl5eH5cuXIzs7G8HBwTh58iR1eKalpZlc3AEDBmD37t1YtmwZPvzwQ3Ts2BFRUVHo1q0bLfP+++9DrVZj7ty5UCgUGDhwIE6ePGlVc+uWn781MzMT2dnZiIuLw9atWzFmzBhMnz4dgYGBZvekMM2Y4OBgdOzYEePHj8fmzZtNhtfXBYPBgMzMTOzYsQN8Ph9vvfUWXF1dwePx4OLigilTpqBdu3b49NNPER8fT7t4s7Ky8P3330MsFmPy5MmQyWQ0anbAgAHo06cP8vLy6BQMzZ0MqHwNpL7NWmsRieowSzwmTpyICRMmQCaTYcyYMejTpw8d3i2Xy3H37l1cvHgRJ06cwOjRo7Fu3bp6GbVgwYJqmylVdQdPnDixxuktORwOVq1ahVWrVtXLLg6Hg8GDB8PW1hbA067l0tJSrF69Gk5OTvU6dk3nrAjz1dZoNEhNTcXu3buRlZWFTz75hN4Xc30hPB4PUqkUPXr0wKJFi8Dn83HixAkUFBTUuXuYiQi9dOkSJkyYQMPNmV6Unj17YurUqXjy5AnS0tKoGOTk5ODgwYPUP8J8fR0dHREcHIxz587RQXMtAUZACgsL63WcViEes2fPxrRp0xAZGYl9+/Zh27ZtUCqVAJ4+3IGBgRgxYgT++usvdOnSpVENbk5EIlGzf/nKw3R75ufn4+TJk5BIJJg4cSK6du0KR0dHOp9sbSLCvNwBAQF48803UVJSgiNHjpg1fL+iPYwj9NGjR+jcuTOtCZWPPr148SLy8/Npjo+ysjLcunULR48ehY+PD9zc3GgPUdeuXeHg4ACFQtGso2krYmdnh7Kysnodo1WIB/D0xZk2bRqmTZsGAFAqlSgpKaFp9lsDRqMRSqUSYrG4xczWzrywKpUKBw8exI0bNzBo0CC88MIL6Nq1K+2dqO1BZQQkMDAQ8+bNw5UrV6jvoi4CwtQ+EhMTMXToUNqtDDyt5bi7u2PUqFGIi4ujvS/MdT116hSGDRsGmUxGJ+z28/ODl5cX0tPTq+0Rai6YGqilWMsYluqwWPpkMhk8PDxajXAAT5spPB4P+fn5zZ6QpiJM6Pft27fx22+/4YMPPsCaNWtw8eLFatMUVoQRkODgYISFhZlEeZoLIQQlJSX4+++/UVBQYOLIZWoT3bt3p7USZh+dToeUlBTqPGXKOzs7w9fX95l8zqzdYWodVrYg7O3tIRAIkJ+f32QDtcyF6ZFQKBRISkrC/v37sXLlSty6dctsAWGaFzNmzEBQUFCd50thnLp37txBQkJCJV8Fj8eDq6srgoODTRzWhBAUFxfj4sWLSElJoSkLbW1t4efnR3tpniVY8WhlMF9DgUBAox9bEkzXLiMiTLf1n3/+aVY0KfA0zqFv37745JNP0LdvX9ja2tbpgWZGwq5evRqHDh2isR3A06q6RCJBaGgoXF1dK4Wt37t3D4cPH6YxJwKBgKZnYMWjZWEdVrYwGAHh8/ktrvlSHqZXJjk5mcaEmOsEFYlECAoKwowZM9C2bdtau4Ar5qLQarV49OgRfvjhB6SkpJicl8fjwdPT00Q8GHtLSkoQHx9Po16Bp3PX1DflX0uEFY9WCtOV2NK/hoQQaDQaXLt2DXv27KGJfGqrgXC5XNjZ2SEsLAwTJ06sNM0kA9OTIhAITATGaDSipKQEt2/fxs6dO5GdnU2dr0zkqY+Pj8mLwjh/U1JSkJOTA61WS5uG1vJC1YVWJx4zZ87EhQsXGsMWq4MZRt7SYXKRHjp0CL/++isePXqEkpKSGqNSmUhUd3d3TJkyBWPGjKG1rYrlhEIhnJycqD+IgRGQQ4cOITo62qTZJJVK0bFjx0ovCjOB+M2bN6FUKlFcXGyStvBZotWJh1KpRHh4ODp27IjVq1cjIyOjMeyyGlp6zQP4nz8hMzMTv/32G9atW4dr167VGjvBjIXx8/PD3LlzMWrUKDg5OZk83EwNxcfHh86kV/6aGAwGZGRk4PDhw7S7FXjaLOratWul5hCTsPnUqVO4d+8e0tPTkZ6e3qLiaxqKViceUVFRyMjIwBtvvIF9+/bBz88P//rXv3DgwIEW1/vA8j+YXpDs7GwcOXIEK1euxNGjRytN6FQRJoy9Y8eOmD9/PkaOHGkyBSWXy6VzylbnFykrK8Pdu3dx+/Zt6iPi8/nw9/c3iQNh0Ov1uHLlCs6cOYOEhAQ6OK4lxXg0BK1OPADA1dUVixcvxs2bN3H16lV06NAB06dPh5eXFxYtWvRMJReuDWv6IjI1ELlcjsuXL2PJkiU4evRorc0CJv4jKCgIq1evxtChQyGVSsHn80EIgVKpxP3795GamlplGDkzCxwzcxzwVDy8vb3h7u5eyRlqNBqRlpaGo0eP4uTJk0hKSmrRjmlLaZXiwZCVlYXTp0/j9OnT4PF4GDVqFG7duoXAwECsX7++oWxssajV6iatbXG5T2daY8aLWArTC6NQKLBr1y48evSo1i97+XlmZ86cCV9fXyoeZWVlKCwsRHFxcbVRoHq9HpmZmVCr1XRGO7FYTJtBVdU+VCoVbVpZU1Zxc2l14qHT6XDw4EG8+OKL8PX1RWRkJBYuXIjMzEz8+uuvOHPmDPbv31/vQWgtnaKiIhQXFzdZ5COPx4NYLIazszOcnJwsGj5fHqZn4+bNm7hw4QJ9qWuC8YGEhoZi2LBhNGEOE1ei1+urrMEwYlVQUACVSmXSZVt+AqmK+xBCYGNjAwcHhzoHq1kD1i4edU4G5OnpCaPRiClTpuDatWtVZuMaOnQoHBwcGsC8lgmTjl8qlTZJ/AHjd+jUqRMGDx6M4uJinD9/Hk+ePKnz4LXyEEIgl8tx+vRphIWFQSqV1tp7xOFw4OzsjOHDhyM6OtpkZrjazqVQKFBYWAiDwQAul1vjPlwuF/b29mjXrh04HA7y8vKgUqmsqplYG9YiEtVRZ/FYv349Jk6cWGMuDAcHh2d2WkqNRoOysjLY29tDJBI1ydwvXC4Xbm5umD59OoYPH46CggKo1Wrk5eXV25HIhJLHxcXRiZpqe6iFQiG6dOmCnj17IjU11azBc0zW9IyMDDpGSK/XmyROLg+Px4OXlxf69OkDPp+PrKwsPHny5Jmba8eaqbP0TZ8+3aqS6DQkfD4farW60ebxqArG1+Dv748hQ4bA19cXHTp0oNnF6wvjzDx69CgePXpkVk2GibAdNmwYXFxczPqCMmkH79+/j+LiYpoLhRmWX/GcQqEQ7du3R5cuXdClSxcEBAQ8c00Xa2+2WIeVLQQ+nw+JRNJkwgH8z8/Qvn17uLm50dygTLav+nZfMiHhFy5cwPLly/H333+jpKSkxn24XC5sbW0xfPhwTJkyBS4uLlXm/ax4Ho1Gg3PnzuGff/5BQUEBcnJyqvS1MM7UwMBAtG3bFl5eXnTWO2Z7S6C+TShWPFoRer2+3jkcLIV5oIxGI9RqtUme0PpiNBppCPvPP/+M1NTUWnOiMlMkjB8/HoMGDTKZWrIqyicKio+PR1ZWFgoLC6sVAibPqkAgAJ/Pb3GjarVaLU0dYCmseLQimsNZx/Q6MBnEmQhMJqdnQ2E0GqFQKPDnn3/i0KFDJpMxVQUTlt6pUyfMnz8fYWFhtc6HyyQKunXrFnJycuj8KFVlO2MC0JhRwrWF0zclWq0W+fn59XaWs+LB0ugw4sH0agiFQri7u8PW1hZ8Ph88Ho9+nYVCoVlOz6rOodfrkZeXh0OHDtHZ+2qCab706tUL7777Lrp06VJr1jKdToecnByUlpbCzs6ONkeqivPIy8uDQqGAXC5HVlYWDRRrzkhTRjgEAgHs7e3rdSxrF48697awND2MeACgI1KHDx+OJ0+eIDk5GXq9HjY2NnBycoJWq0Vubi7kcnmlOWTNOQ8zlP7GjRtwdnauNQcqj8eDRCJB165dMXv2bKxfvx6pqalV+mOYWoTBYIBUKoW7uzvCwsJw48YNkzB5xg9z48YNeHp6QqfTIT4+vtqemaaivHA4OzvXu+fHWkSiOljxsBIIITS6lEkk7O7ujkePHoHD4cDV1RXu7u7Izc3FqVOncPz4cWRkZNTZqcr4P/744w/07NkTIpGoVmcoE74eFhaGixcvmgy/Lw/TFHFwcICXlxecnZ0RGhqKkJAQZGVlmUzoXVpair/++gvFxcXQ6XS4c+dOk4WoVyW4FYWjIV58VjxYGh1mrtb8/Hw6ctXJyQn9+/dHSEgIDVsHnobM83g83L59m/oV6opOp8OJEyfQrVs3TJ06FTKZrNYHncvlwtPTE4MHD0ZMTAw0Gk2VZWQyGe1ytrOzg5+fHyZNmoT4+Hg8fPiQvrhlZWVIS0tDZmYmgKfNmKbyeWi1WggEAhow1xjCAVi/eFi39a0Eg8GAtLQ0xMbGIjMzEyUlJSgpKUFZWRn0ej30ej10Oh1KS0tRWFiIu3fvIjMz02IHLyEEhYWFOH78OB4/fmx27YWJCq2qpsI4WDt27IjnnnsOtra21Ffj4uICqVRaKauYwWBAWVkZysrKmjRzOofDgVwuh1arbTThAFifB0sjw7xEubm52LVrF9LT09G3b186mIxxlPL5fGRnZ+PGjRuIiYlBRkZGnadNKE9ZWRn++ecfnDlzBm3btoWjo2OtvQtMVrGKDz9jp5ubG8aOHYuOHTuaBLgZDIYqaxXN5d8QCoUwGAzIy8ujfze0cADWX/NgxcMKYAKsEhMTkZqaikOHDlH/AdNk4XA40Gg0UKvV0Gg0ZqUarAmDwQC5XI6TJ09i2LBhdBoGS2ItmKTHgwYNwujRo2kziMPh0AFzTKRpS4DD4UAqldI4jtpiWCyFFQ+WRoepfZSWlqKsrAwKhYJuq1jVL7/U95zMXCr37t1D586dLU65yEy3MHz4cHh6eprkQtXr9cjKymrwuJX6wMSjML+3oKAALi4uDZ5ysiUFvVkCKx5WBPNy1fSSNeQLSAhBaWkp5HI59TlY8sAzvhA3N7cq0w6q1ep6NbEaGq1WS30xwFPxyM/Pb3ABsfaah3Vb3wqoWJtgpmesbqlY3pKFwWAwICsrC2+99RYcHBxo86jiNAsMtra2mDRpEh4/fkzFgBGg+Ph4jBgxolL+DgcHB/z3v/9FTk4OFai62NgYcDgcODo60mYhM09PQ88UaO0OU+uwkoWlCak4jqaxBIQVDxaWZ4yqmmaNISCseLCwtBIqCgg7JJ+FhcVsygsIOySfxWyEQmGLiUVgaT4YAWntQ/LZrto6wOVyoVKp6jxrPMuzB9P9XN9jWDPWbX0Tw4yxKCgoYGsgLPV++a295tFirNTpdFiyZAmCgoIgkUjg5eWFGTNm0FGVNbFp0yb4+flBLBajX79+uHbtmsn20tJSzJ8/H87OzpBKpZgwYQJycnLqbCMhBDKZDDqdDgUFBS0mqInFOmHFo4HQaDRISEjAxx9/jISEBBw6dAhJSUmIiIiocb99+/Zh8eLFWLFiBRISEtCjRw+MGDECubm5tMyiRYvw+++/IzIyEufPn0dmZibGjx9vkZ1M5CEzbSMrICyWYu3i0WJ8HjKZDKdPnzZZt3HjRvTt2xdpaWnw8fGpcr9vvvkGc+bMwauvvgoA2Lp1K44fP47t27fjgw8+gFKpxM8//4zdu3dj2LBhAIBffvkFXbp0wZUrV9C/f/8qj8sMBWdQqVT0/0KhEC4uLsjNzX0m51BlaRqsRSSqo0Vbr1QqweFwqp19TqvV4vr16wgPD6fruFwuwsPDERcXBwC4fv06dDqdSZmAgAD4+PjQMlWxZs0ayGQyurRt29Zku1AohKOjI1vzYLGYiqH+1YX9t1RarHiUlpZiyZIlmDJlSrVebSZJr7u7u8l6d3d3ZGdnAwCys7MhFAorCVD5MlWxdOlSKJVKuqSnp1cqUz7bFAtLXbH2ZkuzWblr1y5IpVK6xMbG0m06nQ6TJk0CIQRbtmxpFvtEIhHs7e1NlqqwlhvN0vKwdvFoNp9HREQE+vXrR/9u06YNgP8JR2pqKs6ePVtjX7qLiwt4PF6lnpOcnBx4eHgAADw8PKDVaqFQKExqH+XLsLA0B9YiEtXRbNYzc3Ywi42NDRWO5ORknDlzBs7OzjUeQygUonfv3oiOjqbrjEYjoqOjERoaCgDo3bs3BAKBSZmkpCSkpaXRMvWBjfdgsRS25tFA6HQ6vPzyy0hISMCxY8dgMBioT8LJyYn6FsLCwvDSSy9hwYIFAIDFixdj5syZ6NOnD/r27YsNGzZArVbT3heZTIbZs2dj8eLFcHJygr29Pd566y2EhoZW29NSF5vZ3hYWS7EWkaiOFiMeGRkZOHr0KAAgODjYZFtMTAyef/55AMDDhw+Rn59Pt02ePBl5eXlYvnw5srOzERwcjJMnT5o4UdevXw8ul4sJEyagrKwMI0aMwObNm+tlr1arhVwuh0gkqtdxWFovrHg0EH5+fmZ1ez5+/LjSugULFtCaSFWIxWJs2rQJmzZtqo+JFCYdP5O5nIXFEljxaGXo9XooFAo6V2n5QDIWlrrAikcrgsPhQKlUQiwWw9nZud7JYFhaN6x4tCJEIhF4PF6jTADEYn3Ut6fN2p8hVjzqACEEtra2tMah0+mg1+vrnVGqpeHo6Gh22cLCwka0pOlRKpV0+s6aIISYzJ9jCax4tCIkEgnkcjkVC2aqgxMnTtQ6kzxTXqvV0nlbzR3DQAiBVqsFIQRCobBeD505x5o0aVKV+/L5fPD5fDo/LgBERkZaZAfzggoEArOuHYOl19DcYzE+LWZGvqoghECv19e75mEtY1iqgxWPOsDc7PIPFSEEIpHIZO7VmhAIBHQSJUdHx1ofIEII5HI59Ho9HB0dzT5PTYjFYsjlchQXF1d5zJKSkkr7SCQS2Nraori4GGq12uRYlqJWq1FcXAypVAqJRFJreZ1OB5VKBT6fb9a1M4eK94OZa7c68TAajXTi74ZIQ2jNsOJRRyo+VEajsU4D5IRCIc2+rVKpavSfGI1GmrXMzc2tQbuF3dzcUFBQAKVSWWkmtIpVdjs7O0gkEiiVShQVFVX6PZbCTNDNCIKdnV21ZbVaLZRKJUQiUYP6nCreDzs7O5N5gMvDCAfw1P9V3xHV1i4e1m29lcLkA2EyklVV/WWEQ6fTNco8qebOQ2JnZwd7e3uoVKpKwtEQmHN8Jq5GIBA0irO6/P1QKBTV3o+ysjLa3KtLU6s6rD083TqsfAapSUAaWzgYahOQxhYOc87T2MLBwNwPvV5Pp71kaAzhAKxfPNhmi5kwD1P5qiuzrqyszOKYD6lUCqVSiezsbDqCWKVSwWAwQCaTmTgnGwtmUGJOTg5kMhkEAgEkEgmkUimKi4tRWlpara9Fo9E0iA08Hg8ikQiFhYUoKyujvVpKpRI8Hg82NjYoLS1tkHPVhK2tLTQajclvZu43n88HIYT+zQi+pc0XaxGJ6uAQNhWWWTx58qRSNjEWFgBIT0+Ht7d3c5vR5LDiYSZGoxGZmZnUoWYJKpUKbdu2RXp6er3n/GhqrNX2xrSbEIKioiJ4eXlZfS3CEthmi5lwudwG+7rUlJmspWOttjeW3TKZrMGPaS20PrlkYWFpEFjxYGFhsQhWPJoQkUiEFStWWGUCIWu13VrttgZYhykLC4tFsDUPFhYWi2DFg4WFxSJY8WBhYbEIVjxYWFgsghWPeqDT6bBkyRIEBQVBIpHAy8sLM2bMQGZmZq37btq0CX5+fhCLxejXrx+uXbtmsr20tBTz58+Hs7MzpFIpJkyYUGlmvPpQ2/krEhkZiYCAAIjFYgQFBeHEiRMm2wkhWL58OTw9PWFjY4Pw8HAkJyc3mL3A08nHQ0JCYGdnBzc3N4wbNw5JSUm17tcSbH8mISwWo1AoSHh4ONm3bx+5d+8eiYuLI3379iW9e/eucb+9e/cSoVBItm/fTu7cuUPmzJlDHBwcSE5ODi0zb9480rZtWxIdHU3i4+NJ//79yYABAxrEbnPOX55Lly4RHo9H1q5dS+7evUuWLVtGBAIBuXXrFi3zxRdfEJlMRqKiosjNmzdJREQE8ff3JyUlJQ1iMyGEjBgxgvzyyy/k9u3b5O+//yajRo0iPj4+pLi4uNp9WortzyKseDQw165dIwBIampqtWX69u1L5s+fT/82GAzEy8uLrFmzhhDyVJQEAgGJjIykZRITEwkAEhcXV28bazt/RSZNmkRGjx5tsq5fv37k9ddfJ4QQYjQaiYeHB1m3bh3drlAoiEgkInv27Km3vdWRm5tLAJDz589XW6al2v4swDZbGhilUgkOh2MyqXZ5tFotrl+/jvDwcLqOy+UiPDwccXFxAIDr169Dp9OZlAkICICPjw8tYynmnL8icXFxJuUBYMSIEbR8SkoKsrOzTcrIZDL069ev3vbWBJNL1snJqdoyLdX2ZwFWPBqQ0tJSLFmyBFOmTKl2EFZ+fj4MBoPJdJgA4O7uTufmzc7OhlAorCRA5ctYijnnr0h2dnat9jLrGtre6jAajVi4cCGee+45dOvWrdpyLdH2ZwVWPOrArl27IJVK6RIbG0u36XQ6TJo0CYQQbNmypRmtbB3Mnz8ft2/fxt69e5vblFYLOyS/DkRERKBfv3707zZt2gD4n3Ckpqbi7NmzNQ79dnFxAY/Hq9RzkpOTAw8PDwCAh4cHtFotFAqFSe2jfBlLMef8FfHw8KjVXmadp6enSZmKk5Y3BAsWLMCxY8dw4cKFWtMktDTbnyXYmkcdsLOzQ4cOHejCpO+bNGkSkpOTcebMGTg7O9d4DKFQiN69eyM6OpquMxqNiI6ORmhoKACgd+/eEAgEJmWSkpKQlpZGy1iKOeevSGhoqEl5ADh9+jQt7+/vDw8PD5MyKpUKV69erbe95SGEYMGCBTh8+DDOnj0Lf3//WvdpKbY/kzS3x9aa0Wq1JCIignh7e5O///6bZGVl0aWsrIyWGzZsGPn+++/p33v37iUikYjs2LGD3L17l8ydO5c4ODiQ7OxsWmbevHnEx8eHnD17lsTHx5PQ0FASGhraIHbXdv7p06eTDz74gJa/dOkS4fP55KuvviKJiYlkxYoVVXZ3Ojg4kCNHjpB//vmHjB07tsG7O9944w0ik8nIuXPnTK61RqOhZVqq7c8irHjUg5SUFAKgyiUmJoaW8/X1JStWrDDZ9/vvvyc+Pj5EKBSSvn37kitXrphsLykpIW+++SZxdHQktra25KWXXiJZWVkNZntN5x8yZAiZOXOmSfn9+/eTTp06EaFQSLp27UqOHz9ust1oNJKPP/6YuLu7E5FIRMLCwkhSUlKD2UsIqfZa//LLLy3e9mcRdkg+CwuLRbA+DxYWFotgxYOFhcUiWPFgYWGxCFY8WFhYLIIVDxYWFotgxYOFhcUiWPFgYWGxCFY8WFhYLIIVD5Yq+fnnnzF8+PBGP8/JkycRHBwMo9HY6OdiaVhY8WCpRGlpKT7++GOsWLGi0c81cuRICAQC7Nq1q9HPxdKwsOLBUokDBw7A3t4ezz33XJOc75VXXsF3333XJOdiaThY8XiGycvLg4eHB1avXk3XXb58GUKhsNIw9fLs3bsXY8aMMVn3/PPPY+HChSbrxo0bh1deeYX+7efnh88++wwzZsyAVCqFr68vjh49iry8PIwdOxZSqRTdu3dHfHy8yXHGjBmD+Ph4PHz40PIfy9LksOLxDOPq6ort27dj5cqViI+PR1FREaZPn44FCxYgLCys2v0uXryIPn36WHTO9evX47nnnsONGzcwevRoTJ8+HTNmzMC0adOQkJCA9u3bY8aMGSg/HtPHxwfu7u4mmdlYWj6seDzjjBo1CnPmzMHUqVMxb948SCQSrFmzptryCoUCSqUSXl5eFp/v9ddfR8eOHbF8+XKoVCqEhIRg4sSJ6NSpE5YsWYLExMRK2b28vLyQmppq0TlZmgdWPFoBX331FfR6PSIjI7Fr1y6IRKJqy5aUlAAAxGKxRefq3r07/T+TVDgoKKjSutzcXJP9bGxsoNFoLDonS/PAikcr4OHDh8jMzITRaMTjx49rLOvs7AwOhwO5XF7rcQ0GQ6V1AoGA/p/D4VS7rmLXbGFhIVxdXWs9J0vLgRWPZxytVotp06Zh8uTJ+PTTT/Haa69V+uqXRygUIjAwEHfv3q20rWJT49GjRw1iY2lpKR4+fIiePXs2yPFYmgZWPJ5xPvroIyiVSnz33XdYsmQJOnXqhFmzZtW4z4gRI3Dx4sVK648cOYJDhw7h4cOH+Pzzz3H37l2kpqYiIyOjXjZeuXIFIpGITThsZbDi8Qxz7tw5bNiwATt37oS9vT24XC527tyJ2NjYGueWmT17Nk6cOEFnZGMYPXo01q5di8DAQFy4cAGbN2/GtWvXsHPnznrZuWfPHkydOhW2trb1Og5L08LmMGWpkokTJ6JXr15YunQpgKdxHsHBwdiwYUODnic/Px+dO3dGfHy8WVMpsLQc2JoHS5WsW7cOUqm00c/z+PFjbN68mRUOK4StebCYRWPVPFisF1Y8WFhYLIJttrCwsFgEKx4sLCwWwYoHCwuLRbDiwcLCYhGseLCwsFgEKx4sLCwWwYoHCwuLRbDiwcLCYhH/D6x5rOJEjsG7AAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = -1.7849e-01\n",
      "\tgrad_norm = 1.2433e-02\n",
      "step = 3\n",
      "beta = 6.25\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 1.0090e-02\n",
      "\tgrad_norm = 1.3535e-02\n",
      "step = 4\n",
      "beta = 6.88\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 1.8153e-01\n",
      "\tgrad_norm = 1.4126e-02\n",
      "step = 5\n",
      "beta = 7.50\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 3.0211e-01\n",
      "\tgrad_norm = 1.7756e-02\n",
      "step = 6\n",
      "beta = 8.12\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 4.0307e-01\n",
      "\tgrad_norm = 1.5350e-02\n",
      "step = 7\n",
      "beta = 8.75\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 4.7209e-01\n",
      "\tgrad_norm = 1.4658e-02\n",
      "step = 8\n",
      "beta = 9.38\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 5.4106e-01\n",
      "\tgrad_norm = 1.0828e-02\n",
      "step = 9\n",
      "beta = 10.00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 5.7739e-01\n",
      "\tgrad_norm = 1.2721e-02\n",
      "step = 10\n",
      "beta = 10.62\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 6.1888e-01\n",
      "\tgrad_norm = 9.5648e-03\n",
      "step = 11\n",
      "beta = 11.25\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 6.4623e-01\n",
      "\tgrad_norm = 6.8398e-03\n",
      "step = 12\n",
      "beta = 11.88\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 6.5977e-01\n",
      "\tgrad_norm = 7.1572e-03\n",
      "step = 13\n",
      "beta = 12.50\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 6.7336e-01\n",
      "\tgrad_norm = 4.9686e-03\n",
      "step = 14\n",
      "beta = 13.12\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 6.8527e-01\n",
      "\tgrad_norm = 4.6140e-03\n",
      "step = 15\n",
      "beta = 13.75\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 6.9623e-01\n",
      "\tgrad_norm = 5.1576e-03\n",
      "step = 16\n",
      "beta = 14.38\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.0596e-01\n",
      "\tgrad_norm = 6.1804e-03\n",
      "step = 17\n",
      "beta = 15.00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.1413e-01\n",
      "\tgrad_norm = 5.7893e-03\n",
      "step = 18\n",
      "beta = 15.62\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.2290e-01\n",
      "\tgrad_norm = 4.6860e-03\n",
      "step = 19\n",
      "beta = 16.25\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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g165des35+fPn4/vvv0daWhpatGgB4IV49OzZExMmTMCdO3fg7e2NzZs3Q6PRYOnSpXp1rVmzBrGxsRg4cCDeeust3Lp1C5s2bcL7779vMFVcFZFIhIEDB+LUqVNYtmyZQfzx48fxzjvv4OWXX8b9+/exdetWuLq64sSJEwgLC8Prr79u9XdjDJVKhXPnzmH69OnWZbR4XsZG0tPTydixY4mPjw8RCoWkZcuWZMaMGQaLxIxN5xLyYmo2JCSE8Pl84uvrS6ZNm6a3SOzRo0fkvffeI61atSIikYh4enqSV199lZw6dYpNk5ycTIYOHUoCAgKIQCAgAQEBZPTo0QZLjatiaT6lUkm++OIL0rFjRyIUComHhwcJDQ0lS5cuJXK5XC/ttm3bSPfu3dl0kZGR5OTJk2x8VlYWiYmJIVKp1KJFYnv37mXL8/T0NLtIrCq6ab7quHTpEunZsydxcXEhAQEB5OOPPya//PKLgT3FxcXk7bffJu7u7tUuEjO2qEx31XSRGCEvlpivXLmSBAUFEYFAQDp27Eh++OEHg3S6aey0tDS98Pz8fDJx4kTi5eVFXF1dSWRkpMln9MCBA6Rbt25EKBSSwMBAsnDhQqJUKi2y86effiIMw+hN9+qmaleuXEmioqKIUCgkwcHBZP/+/WTBggXE1dWVLF26lBDyv3tYdTmBqXseGRlJOnbsqBd27NgxAoA8ePDAIpt1MITQc1solLpCo9GgQ4cOGDlyJJYvXw4A+PvvvxEcHIzt27dj/PjxDrchLi4ODMOw3SJLobtqKZQ6hMvlYtmyZUhISKiTLfl3797F4cOHWeGyBioeFEodM2rUKOTn59fJlvz27dtDrVZbvB6rMlQ8KBSKTdAxDwqFYhO05UGhUGyi3ixPr+9otVpkZmZCKpXatJGN0vAghKCoqAgBAQFm90g1VKh4WEhmZia+/vpr8Hj6XxkhBAUFBTVa9ScQCPRWxAqFQmi1WiiVyhrZbA08Hg88Hg9qtRpqtVrPptrq2TIMo/fZq9pUG3A4HHh6eoLD4bArgXXCUHkVqY6VK1fi8ePHFu1NqYq5l5AzjCZQ8bAQqVQKHo8HV1dXvbcMIQQtWrSweeMZ8KJVo1Ao2CXSfD4fbm5utf42Ky0tZZfTczgcyGQyA7F0NGq1GnK5nP3hisViuLq61lr9Go0Gz58/h1qt1runfD7f4Meus1EqldpUl7O3Vqh4WIjuweFwOODz+QBePDxarRZCoVDPK5ot8Pl81peCl5eXUR8RjkYkErGtH5FIZLlHKTujUqnY7e+6VkBtoVQqweVywTAMK+ZCodCoiOribe3GOrt4OLf1DQSlUom8vDzw+Xzw+Xzk5eXVapcFeCGEeXl5YBgGIpEI5eXlBrs6a4OioiKUl5dDJBKBYRjk5eXVeNu/tWi1WqhUKjAMA4ZhoFQqHdJt0pVv7HIGaMujjlEqlcjNzQWfz2f9O+Tl5SE3Nxfe3t41btFYgk44VCoVW2dRURHr+MfWZrm16Op0c3ODVCplv5u8vDx4eXnVyptapVJBrVazIgq82EGtE3N7duNoy4NiM1WFg8PhgMPhwMvLi+3GOLoFYkw4gBeC4ebmBoVCUSstkKrCAbwYSPb29oZKpaqVFohSqURBQQE7cKu7H0Kh0CEtEF35xi5nwDmsbIAYEw4dtSUgpoRDR20JiDHh0FFbAqK7Hzwejx3z0OEoAaHiQbEac8Khw9ECUp1w6HC0gJgTDh2OFpDK98Pd3d3k/bC3gFDxoFiFJcKhw1ECYqlw6HCUgFgiHDocJSDW3o/KAlJTG6h4UCzGmgdVh70FxFrh0GFvAbFGOHTYW0BsvR86Aalp64OKRyOCy+XavPLPlgdVh70ExFbh0GEvAbFFOHTYS0Bqej/ssQ7H2cWDTtVaiUqlYm+wVqsFIUTPea6pPAUFBeDxeHBzc7P5jeXm5oaCggLk5OTAw8ODXaxmCbpl9Gq1mvV8bosICYVCuLq6orCwEGq1GmKx2Kr8JSUlKC4uhkQigVAotFkIZTKZ3ndhzdoIc/dDpVKBEGKRKNV02tZZRMIUVDysQLdkWaVSgcfjgbw4KBwVFRVG9z0AYPdp6FahmvPWbgkuLi5QKpUoKSlh959UByEESqUSHA4HEokEGo3GpL2WwOVyIRaLoVQqQQix+EekVquhUqkgFovB5XLZVaS2IpFIoFQqoVAoIBAILBKQ6u6HWq2GVqu1qKyaLuai4tGIKCwsRMeOHVFaWgoej8c+vIMHD7bKZT2l/iKXy3H06FEIhcJqW3Y1FT8qHo0IrVYLkUgEiUSC3NxcFBcXw8XFBTKZDJ6ennVtHsVO8Hg88Pn8aseE7DFg6sw4t/V1hG7QTq1W1/oeFErDwdkHTJ3DynqIQCCAh4eHU/hdoNRP6Ma4RowlTVsKxRTO0sIwBRWPGuLsDwCl7nD2Z4eKB4VSRzi7eNQr61etWoWwsDBIpVI0adIEcXFxuHfvXrX5EhMTERISApFIhM6dO+Po0aN68YQQxMfHw9/fHy4uLoiKisKDBw/sYnNtO6qhNBzogKkdOXfuHGbMmIHffvsNJ0+ehEqlwsCBA1m/msb49ddfMXr0aEycOBE3btxAXFwc4uLicOvWLTbN6tWr8dVXX2HLli24cuUKxGIxoqOjazxPr1Kp6GwLxWacXTzqVbfl+PHjen/v2LEDTZo0QWpqKl5++WWjeb788ksMGjQI//d//wcAWL58OU6ePIlNmzZhy5YtIIRg48aNWLhwIYYOHQoA+Pe//w1fX18kJSXhrbfeMlpuRUWF3upDnVctHTrHMXXha5TSMHAWkTBFvbZeLpcDgNkFWJcvX0ZUVJReWHR0NC5fvgwASEtLQ1ZWll4amUyGiIgINo0xVq1aBZlMxl7NmjVj4yo7jqGzLRRbcfaWR721UqvVYvbs2ejTp4/ZQ3izsrLg6+urF+br64usrCw2XhdmKo0x5s+fD7lczl6PHz8G8GJVoW43prUbsiiUyji7eNSrbktlZsyYgVu3buHixYt1Ur9QKDTokjAMA7lcDpFIBC8vr1o7iIjSMHEWkTBFvbR+5syZOHz4MM6cOVPtSVx+fn7Izs7WC8vOzoafnx8brwszlcZShEIhuFxurXnyptRvqCexegQhBDNnzsSBAwdw+vRpBAcHV5unV69eSE5O1gs7efIkevXqBQAIDg6Gn5+fXhqFQoErV66waSxFq9XWyUlulPqH7pS/muDs4lGvui0zZszA7t27cfDgQUilUnZMQiaTwcXFBQAwduxYNG3aFKtWrQIAfPjhh4iMjMS6desQExODPXv2ICUlBVu3bgXwoqsxe/ZsrFixAm3atEFwcDAWLVqEgIAAxMXFWWWfzicGpXGj88hWE58oQM39gdQ19Uo8vvnmGwDAK6+8ohe+fft2jB8/HgCQkZGh9wPu3bs3du/ejYULF2LBggVo06YNkpKS9AZZP/74Y5SUlGDy5MkoLCxE3759cfz4cfZQHwrFUiq7cqypDxdnfxHVK/GwZIfq2bNnDcJGjBiBESNGmMzDMAyWLVuGZcuW1cQ8SiOnqg/Yxu7Po16JB4VSHzD2EjPmPJqKB4VC0UOpVOp1aWvqdd4Uzi4ezm09heIAdJ7mtVqtw4QDoLMtFEqDQyAQoLi4GLm5uQBerCq2t3AAtOVBcTDmXNXVxWWpo+eVK1dWW1Z8fLzJ/CqVCi4uLnXipo/D4cDd3R0qlQoqlQpeXl4O2cPk7C0P57CSUm8oLi62aFZs4MCB1f4Iqu6irkx5eXmdLf8nhKC4uJj9W6FQOMRvCxUPilMiFovRtWtX9OjRAz4+PhYf3KRSqdC9e/dqj5vs0aMHHj58yJ5OZ4xr167hxIkTRuP69u1bZ+KhVCqhVqvh4+MDHx8fux+urYOKB8Wp4HA4WL16NQoKCvD777/j2rVryM7OhkKhwLFjx9C6detqH94//vgD3t7emDlzplkRadGiBbKyshAQEGAyzT/+8Q/Mnj0b5eXl7DGPf/75J/7880+bP2NNIYTAw8MDAoHA7odrV4aKB8WpGDlyJD766CO909AYhoGLiwsGDRqE+/fv4/nz5+jSpQu4XK7JcpRKJRISEuDp6Yl33nkHpaWlRtMJBAJkZGRg+fLlRsvTarX48ssv4eHhgXbt2qFp06bo3r17zT9oDRAIBHrfj6MEhIoHxWlgGAYrVqwwO+CoGxT9/fffkZeXh/Hjx5vt0qjVauzevRtNmjQx6ZKRy+Vi4cKFSElJMbkloLy8HA8ePEBWVlad+4U19uN1hIBQ8aA4FZbOGjAMA5lMhu3bt+Pp06do1aqV2fQlJSVo1aoV6/3NGN26dcPjx48NHDNZikQiwdKlS7F+/Xqb8tcUewuIsx/6RMWjEUEIwXfffWd1viZNmuD+/ftYv3692VbIkydPEBgYiEePHplM4+3tjYyMDLz55ptWvWGHDx+O3NxcxMfHY86cOVbZb08qC0hj35LvHFbWEyydkajPLF26FP369WNXUBJCoFarUVFRAZVKZTIfh8PBnDlzoFQqMWTIEJNvx+LiYrRq1QpNmzZFQUGB0TQCgQD79++HWq3G4sWLWXcLpli+fDkSExPrjbNpnYDUdEs+FY9GBI/HMzkwWFswDAMej1ejpu3FixfRpEkT9pJKpZBKpZDJZIiKimJXVpqq/+DBg7hw4QJcXV1NpsvMzETTpk1x48YNs2UtWbIE+fn5GDt2rNHPxDAMRo4cad0HrAUEAoFdtuRT8WgkqNVqlJSUVLvGwd4wDAOpVIoZM2YgPT0d+fn5+Omnn2rkj0StViMvLw+5ubkoLy+HSqVCWVkZkpOTERAQgLy8PLP29OnTBzk5OQgLCzMpZGVlZejRowcyMzPN2iISibBjxw589tlnBmURQsw6qq5LatoSpeLRiFCr1RCLxVAoFLUmIMePH0dGRgby8/OxadMmNGvWDFKpFHFxcTh8+HC1LRBz062mUKlU8Pf3x6JFi/TOrqmKWCzGlStXsHv3bpMDsVqtFkFBQVi1apXZRV8Mw2DevHlo06aNQdzMmTPrfAbGETQ68UhLS8O///1vLF++HPPnz8f69etx5syZGp++5iy4urrCzc0NCoXC7El29iI6OhqBgYFG33KRkZEmuw48Hg/r169Heno65s6da7WIqFQqrFixAp6enti6davJHz7DMHjrrbeQlZWltzaiMmq1GgsWLIC/vz9u3Lhhcnk7h8MxKoi3bt3Crl27rLLfGWg04rFr1y6Eh4ejVatWmDdvHpKSknDhwgV8++23GDRoEHx9fTF9+nSkp6c70t56gVQqhZubG4qLi+v0+AUul2u0380wDH7++WfMmTMHTZs2xbp165CamgqxWGx1HaWlpZgyZQoCAgJw//59k+k8PDyQnp5udho2NzcXoaGhiIyMNDl21Lp1a7Ru3VovjBCCCRMm4NixY1bbX59pFOLRvXt3fPXVVxg/fjzS09Px7NkzpKam4uLFi7hz5w4UCgUOHjwIrVaLHj16IDEx0dF21zlSqRQSicTsDIWjUalUKCwsNAg/dOgQBg0apBfWtWtXFBcXo6ysDHfv3sXPP/+MLVu2IDY2Fj4+PtU+sM+fP0e7du0gkUhMCqa/vz+ysrLw4MEDk4OJhBBcuHABEokEH374oUE8wzB65wzr0Gg0GDx4MIRCodmBWmeiUYjH559/jitXrmD69Ol6xy7qEAqFeOWVV7Blyxb89ddfaNmypd0NrY+IxWKTTXVHQwjBv//9b5SVlemFS6VSREdHm8wnEokQEhKC119/HVOmTMHBgweRnZ2N58+fY8aMGdVOh5aUlKB9+/Zmu2ytW7dGZmYm+vTpY3JMhhCCr7/+2qgQCQQCdOjQwWg+pVJp8JmdlUYhHuYexqp4eXkhNDTUZoOcDUev/ejXrx+GDh2KBQsW4NixY3j06BHu37+P6dOnY+rUqQbjB/7+/laPb+iWpG/atAmFhYX49NNPzQ7E/ve//0XTpk3x5MkTk2lcXV1x/vx5JCYmmhWQL774wmjclStXIJVKrfoczkajEA9j5OTk4NatW+wOyLreCdlQuXjxIg4dOoRVq1Zh8ODBaN26NUJCQrBlyxaji5SysrJqtPJRJBJhxYoVuH79utkT9eRyOVq2bInExESzA6BvvvkmvvnmG5OCtnTpUqP2SiQS3Lx5s85adrVBoxOP1NRUdOrUCf7+/ujSpQu6deuG7t27s/82NixxjGPv+szVqVAoEB4ejps3b0KpVNpsX7du3fDkyROsW7fOZOtKpVJh1KhR6N+/v9nFc1OmTMGlS5eMCoFKpUJsbKxRO4OCgvDTTz85zV4Pa2l0e1vee+89tG3bFr/++isePXqEtLQ0vX8bE4QQkztJ65IHDx6ga9eukEgk8PHxQXx8PB49eoSKigp2SbolcLlczJ07F2lpafDy8jKahhCCs2fPwsfHR8/7VlUiIiJw5MgRo2/V8+fP4/Lly0bzxcTEYODAgRbZ62w0upbHo0ePsHr1akRERKBFixYICgrSuxoLWq0WBQUFtd7ysBRCCLv7c/ny5WjVqhVEIhG4XK7eQ+rm5obx48ebXVEaGBiI3NxcZGRkwNvb22ia0tJSSKVS+Pn54fHjx0bTvPbaa7hz545BF4YQgr59+2L//v0GeRiGwbFjx9ClSxcrPr1z0OjEY8CAAfjjjz8cYYvToHPHr1arHeIYtzbQdX+Kiorw/fffw9fXF6NHjzY7k9GsWTM8ffoU7u7uJtNkZ2ejZcuWSEpKMhrfrl07zJw506g9b7/9tlHhYRgGZ8+erXYDnbPR6MTj22+/xbZt27B06VL85z//waFDh/Suhk7lczw8PDyc5kZXh0ajwZ49e+Dt7Y3k5GST6QQCAbKysjBmzBiTn12tVuPNN9/Ejh07jMavWbMGzZs3NwhXqVTo3Lmz0fETDw8P3L17F25ubnSdRz3B6nnGy5cv49KlS0ZX+zEMU+NtyvUd3cyArvne0D5vaWkpXnvtNVy6dAk9e/Y0OngnFAqxc+dOzJ8/Hy+//LLRLo9Wq8X777+P9u3bIyIiQi+Oz+cjNTUVzZo1M9jWIJfLER4ebnShWFBQEJ4/f95g9rk4i0iYwmrrZ82ahTFjxuDZs2fsiVq6q6H9kKoiEAig0WgccgBQfUI3BvHBBx+YXX7foUMHZGZmYvjw4UZFRqPRoH///kbzmmvh3L59Gzk5OUbjBAJBjXYT1yecveVhtZV5eXmYM2eOza7knBkOhwOZTFarwuHh4VEnU3darRabNm1iV4uaQiAQYN++fdi+fbvR+NLSUqSlpRmN6927NyQSidG4Dh061LnvlOqoqX2NTjzeeOMNnDlzxhG21HsqKipq3ZtYfn4+KioqMG3atDrxZJaeno6mTZtCKBSa3FbPMAzGjRuHQ4cOGX3w27RpY3I1am5urtGzXfLy8uDu7o5nz57V/EM4gKKiohrvqm504tG2bVvMnz8f48ePx7p16/DVV1/pXQ2ZupqW5fP52Lx5MzIzM7F582YMGDAAzZo1q1UxUSqVWLBgAYKDg01+D0OGDMGiRYsMwjUaDXr16mVUeIRCIS5dumT0B6NSqdCrV696N8ZRVFQEhUJh0y7lyjQ68fj2228hkUhw7tw5bNq0CRs2bGCvjRs3OsBEig4fHx9MmzYNp06dQnp6OgoKCjBx4sRafdiePHmCCRMmmPxBL1q0CJ06dTKab8GCBUbztG/fHlOmTDEal56ejrNnz9psr73RCYc9Zn2cXTwYUl9XOdUzFAoFPv74Y5SVlbHb8Pl8PlxcXLBv3z6Tzn5riiW35/79+4iIiDC6Pd9RjBkzBt9//73RB72wsBB+fn4GXsg4HA5SUlKMbmNQq9UIDAxEdna2QZy/vz+ePHlSKz+q/Px8JCYmQiQSGYxtVRYOqVSK0tJSvP/++5DL5XBzc7O6roULF5qMW7FihdXl1TZ2uxvPnj3D6tWr7VUcxQratm2L7OxsNG/evNYGV3/44QeMHz/eaAvE3d0dW7duNQjXarXo06ePUaHl8XhITU012hXLysqq1YWJxrpXVYXDHjh7y8OmvS3GrjFjxmD58uV2MSohIQEtWrSASCRCREQErl69ajZ9YmIiQkJCIBKJ0LlzZxw9elQvnhCC+Ph4+Pv7w8XFBVFRUXjw4IFdbHU0paWlFk2BCwQCpKWlISMjAx9++CH8/PwcPiayc+dOjB071qiAjBkzBu3btzcILysrQ/v27Y36Rm3atCk+//xzg3BCCAYNGlRr+4hUKpXeYKgjhANohBvjCgoK9K7c3FxcvXoVZ8+exdq1a2ts0N69ezF37lwsXrwY169fR9euXREdHW1y3v/XX3/F6NGjMXHiRNy4cQNxcXGIi4vTW2S0evVqfPXVV9iyZQuuXLkCsViM6Ohop/C76ubmBi8vL/zzn/80u/EMePEmCwwMxMaNG5GZmYmioiLcvHkTAwYMgI+PD0QiEXg8HjgcjsUPKJ/Ph1AoNPk23LVrF+bMmWPQveJwOLh48aLRae3s7Gy8/PLLRkVn9uzZCA4ONgjPyclB37592RPsHQmfz0dxcTGKioocJhyA87c87Dbm8dlnn+HixYs19jMZERGBsLAwbNq0CcCLpm6zZs0wa9YsfPLJJwbpR40ahZKSEhw+fJgN69mzJ7p164YtW7aAEIKAgAD885//xEcffQTgxSpGX19f7NixA2+99ZZFdtXVmEdVeDwePvvsM0yePBkymczmt5TusKcFCxZg8+bNKCsrYwVANwPSvXt39kEmhODy5cuIjIw0+uONjIw0OrBZVFRkcjzA19fX6LEKGo0GfD7f7HiPo4bqdGMeGo2GXcdhSjhqOuZhrqVubNaqvmE3iRs9enSNR8WVSiVSU1MRFRXFhnE4HERFRZncsn358mW99MALz2e69GlpacjKytJLI5PJEBERYbJM4MWaDoVCoXfVB9RqNebNmwcvLy8EBgbihx9+sMmPKsMw4PP5WLNmDQoKCvDnn39i7969uHbtGgoLCxEaGqr3BmQYBr179zZ5Tuz58+eNtiSkUqnR4xSAFy0QY0dYcLlcxMbGWv2ZnA1nb3nYzco//vijxs6AcnNzodFoDFavmnpDAS8G08yl1/1rTZkAsGrVKshkMvYy5ru1LtFqtcjMzMS7776LgIAAsy4Bq0MgEKBTp04YOXIkevToYXb594QJE4yGE0Jw8uRJo3Gpqakmd8TGxcUZbUXs3bu3ztwQqtVqFBcXw83NjT1mwxHn9Di7eFg9ojZ37lyDsOzsbBw8eBAxMTF68XV1mrk9mD9/vt5nUSgU9Xb6LDc3F23atEFRUZHDB0nNLc0fPnw4srOzDdY/SKVSnDp1Cn379jUQirNnzyIjI8PAF4xQKMSBAwfw2muv1friPJVKBYlEoideupanPQXNWUTCFFY/aabOHg0LC0NOTg47sGlLX9zb2xtcLtdgrj87O9ukP00/Pz+z6XX/Zmdnw9/fXy9Nt27dTNoiFArrzcHKllBeXo7w8HAcO3bMoqMUbMXcWpLi4mLExMQgOTnZoP5evXph4MCB+OWXX/TCtVotYmJicPPmTYNn5tVXX0WTJk2Mrv1wJHw+X2/1qE4w7C0gjU48HLmvRSAQIDQ0FMnJyYiLiwPw4uFKTk426kAGePFQJicnY/bs2WzYyZMn0atXLwBAcHAw/Pz8kJyczIqFQqHAlStXMG3aNId9lrrgxo0baNq0Kby9vdGpUyeMGDECo0ePtmkwzxSLFy82G3/u3Dls374dEydO1AtnGAb79++Hl5eXwZTrnTt3cO3aNYSHh+uFczgcfP3117V+0LWx1psjBMTZxaPeWT937lz861//wvfff4+7d+9i2rRpKCkpYfvaY8eOxfz589n0H374IY4fP45169bhr7/+wpIlS5CSksKKDcMwmD17NlasWIFDhw7h5s2bGDt2LAICAliBakhoNBpkZ2cjOTkZU6dOhb+/v91cJZSUlGDbtm1m0xBCMHXqVDx9+tQgTiKR6Il85Tyvvfaa0bUfQ4YMqTfuD3QnBdprDMTZxzwssnLQoEH47bffqk1XVFSEL774AgkJCTYbNGrUKKxduxbx8fHo1q0bfv/9dxw/fpwd8MzIyNDbadm7d2/s3r0bW7duRdeuXbF//34kJSXp7a/4+OOPMWvWLEyePBlhYWEoLi7G8ePHG4xfCHOUlpZi3rx5dimrf//+Fi3UUqvVCAoKMiogn3/+ucFxksCLN7qfn5/BzJFIJMKXX35pu9F2prKANPYt+Rat8/juu+8QHx8PmUyGIUOGoEePHggICIBIJEJBQQHu3LmDixcv4ujRo4iJiTHpZs6ZUSgUmDdvHnr06MEOCCqVSpSXl2PEiBHw9PR0SL32WG0YHByMhw8f1qgsjUYDT09Pq6asg4KC8OjRI4Mfw+3bt9G5c2ejA6Hnzp3Dyy+/rBdWWloKmUymt77E0es8jO1tqUxRURHy8/Mxf/58m9d5fP311ybjZs2aZXV5tY1FEjdx4kQ8evQICxYswJ07dzB58mT069cPYWFhiI6Oxr/+9S80b94c165dw969exuccOgQCoV1erC1rTx9+rTG61QYhrH6jZieno4jR44YhLdv396kF/aqWwuAF6fPdezY0aq6HY1UKqVb8i1NKBQKMWbMGPz888/s0vTMzEyUl5fj5s2bWLt2rdG9DA0JrVYLuVxep2e12NJ6UCqV1XpGrw4Oh4MePXpYnW/8+PFGy6o8blUZU11Je3W97ElNt+Q3ur0tOmQyGfz8/Br0cYBVUSqV4HK5yM3NrXUB0a3wPHfuHE6dOoXhw4db9eY7duwY/P390bdvX4wcORJz585FamqqVTYkJCRY/WCbOtvmrbfeMlpWVWfJOvr27es0PypLcfaWR+37tXNy3NzcUFZWhtzcXMhkslqr18/PD6dOnWJXag4YMAClpaUYPXo0fv75Z4vGAORyOS5dusT+vXHjRty9exft2rWzyIbWrVvD39/frE/TqugOn6o6fuDp6Qkul2vQDTTV5ZVKpWAYpt4esmULziISpnBu6+sADocDLy8v8Pl8FBQU1JqLvKFDhxos8XZ1dUVSUhLmz59v01uZEILQ0FCL98ZwOBz85z//sboeU/47jA1I/vrrr0bLSE9Pr3fuCGuKs7c8nMPKeoZOQHg8Xq11X0w5AmYYBvHx8XjttddsKre8vNyqjXVt27a1ug5jjoIZhjE6vrFo0SIDewghRrdFODtUPBopHA6nVo9FuHv3rsk4oVCII0eOYNeuXejatavBWbDm0G3NtxRbjnzMz883CONwOOjQoYNBeHZ2Nl5//XW2laFWq5GQkNAgPfY3OvEYN24czp8/7whbnA6GYWpt9WN2drbZZjuPx8Pbb7+NGzdu4Ny5cxZvkCOEICMjw2I7bNl4Z8qFoKnFXydOnEBgYCDCw8Ph6+uLDz74oEGNdehodOIhl8sRFRWFNm3aYOXKlUZXETYmaqvlYak7QoZh0KdPH4wdO9aicgkhmDx5ssXdL2taNTr27NljNLx79+4mZ+uePXuGa9euIT8/v0EKB9AIxSMpKQlPnz7FtGnTsHfvXrRo0QL/+Mc/sH//fpuc0lAsQ6vVWvX9LlmyxGJh++2339CpUyccOHCA9aliCmtcGOq4evWq0VYTwzA4cOBAg5uCtZRGJx7Ai/ND5s6diz/++ANXrlxB69atWac0c+bMcRrnwvagtlaccjgcq976gYGBJtdMVIUQggcPHuCNN96Aj48P+Hy+2TEWaxdHFRUVmXRWNHjwYPTu3duq8hoKjVI8dDx79gwnT57EyZMnweVyMXjwYNy8eRMdOnTAhg0b7GVjvaWkpKTWWltSqdSqBXkMw+DYsWM2nSlMCEFMTIzJMZbOnTtbXd6FCxdMxtWW/9f6RqMTD5VKhf/85z94/fXXERQUhMTERMyePRuZmZn4/vvvcerUKezbtw/Lli1zhL31hqKiIhQXF9faCtvg4GCrHyp3d3dkZGRgwoQJVs8MPX782OgWeQCYMWOGVXYAwI8//mg0/OzZs7h3757V5TUEGp14+Pv7Y9KkSQgKCsLVq1eRkpKCqVOn6u0qfPXVV+Hu7m5PO+sVOnf8Eomk1s6L5fF4Ng0cCgQCbNu2Dc+fP8fhw4ctnh3SaDTIzc01Gjdo0CCrxynOnj1rsDnv2bNnGDhwoN38jTgbjU48NmzYgMzMTCQkJJh04+fu7o60tLSa2lYvKS0tZc/xqOmuSmu4fft2jU5l13UrLe1OEkJw8OBBo3EeHh5Wb0EvKSlBz549cf78eaSkpCAuLg7NmjVrtMIBNMKNce+++26jcKJjDB6Ph5KSEoccAFQdxcXF6NOnD/Ly8mpUztixYy3uai1ZssRo14XL5drkwvHu3bt45ZVXEB4ejoMHDzZq4QAaYcujMcPj8SAWi+vsSIA///wT3t7e4HA4rJPe8PBw/PXXXxaXIZFIMGfOHIvebnl5eZDJZHj48KFB3MqVK/W8tVkKIaTBrNuo6UwbFY9GhFqtrrEPB3ugW1JeWlqKa9euoVOnTvjpp58szr906VLExMRY9JBWVFSgS5cuBl7TGYbBhQsXnMrDvD1RKpWQy+U1KoOKRyOivnoR02g0GDNmjMXpRSIRkpKSkJSUZFELpLS0FDExMQYtBnd3d+zevdtp+uj2QqlUIjc316bVtpWh4kGpF1Q+a9YSuFwuhgwZgi5duliU/sqVK0bftLqBT2vgcrn4xz/+gfPnz+PXX3/F22+/7TROpXTCwefza3ykBRUPSr3BlpaRpS0HjUaD7du3G4RzOBysXbvW4voYhsHOnTtx5MgR9OvXD7169cKuXbuQkpJS7wWksnB4eXnV+EdOxYNSbzC1qMscbdq0sXjcYs2aNUZbN/369bO46+Lp6YkRI0YYpO/cuTN69uxpURmOxtjKWnsLB0DFg1KPOHTokNV5eDyeyaM8q/Ls2TOj3s09PDwsXizXpEkTo2kZhoGHh4dFZTgapVKpt+3AEcIBUPGg1CPmzJmD8vJyq/KUlJRYtbek6jGSANgflSXk5uYabb1otVqT+19qG4ZhUFBQAKVS6TDhAJxfPKgD5AZETk4Ounbtih9++AFBQUEoKChgva17eHigV69eCAsLg7+/P1xcXKBWqzFs2DCrznTJycmBVqvVe8A5HA42bdqE4cOHV5u/qKgIGo3GoPWRnp5u9hDt2kQgEECj0eD58+fs3/YWDsD5HSBT8Whg3L9/HxEREayn8cpv+a1btwL43wFODMNYPchKCMHjx48RFBSkFz5s2DDweLxqy1OpVFCpVAbisWTJknqzeIxhGEgkEnZ2yc3NzSE/dGcXD+e2nmIUQgi0Wq3JHyMhBBqNxuZ1K999951BGIfDwVtvvWWRbcYcHJ84ccImWxyBVqtFYWEh+Hw++Hw+8vLyHOLoutHtbaFQbt26ZTTc2CxKVXTCVRmtVlujTX/2RqlUgsfjwdvbG97e3uDz+Q456IuOeVAcSl005asTgMquAyvbFxsba9PZKlwut8Zn6doT3cyP7kfs5eWFvLw85Obmwtvb225Or51FJEzh3NZTKA5AIBDoCSiH87+DvuzZAnH2lodzWEmh1CLGWl6OEBAqHhRKI6GqgNAt+RQKxWIqCwjdkk+xGIFA0OAOW6ZYj05AGvuWfDrbYgUcDgcKhQKurq5Oc4MpjoHD4dhlS74z49zW1zIVFRXQaDTIy8ujLRAK3ZJf1wboUKlUmDdvHjp37gyxWIyAgACMHTsWmZmZ1eZNSEhAixYtIBKJEBERgatXr+rFl5eXY8aMGfDy8oJEIsGbb76J7Oxsq20khEAmk0GlUiEvL6/eLKemOCdUPOxEaWkprl+/jkWLFuH69ev46aefcO/ePcTGxprNt3fvXsydOxeLFy/G9evX0bVrV0RHRyMnJ4dNM2fOHPz8889ITEzEuXPnkJmZiTfeeMMmO3UrD1UqFQoKCqiAUGzG2cWj3ox5yGQynDx5Ui9s06ZNCA8PR0ZGBpo3b2403/r16zFp0iRMmDABALBlyxYcOXIE27ZtwyeffAK5XI7vvvsOu3fvRv/+/QEA27dvR/v27fHbb7+ZdEBTUVGh51yn8gpIgUAAb29v5OTkOGTPA6Vx4CwiYYp6bb1cLgfDMCZPn1MqlUhNTUVUVBQbxuFwEBUVhcuXLwMAUlNToVKp9NKEhISgefPmbBpjrFq1CjKZjL2q+ukUCATw8PCgLQ+KzdCNcQ6ivLwc8+bNw+jRo02Oaufm5kKj0Rgc5uzr64usrCwAQFZWFgQCgYEAVU5jjPnz50Mul7PX48ePDdLw+Xy77XOgND6cvdtSZ1bu2rULEomEvSp7kVKpVBg5ciQIIfjmm2/qxD6hUAg3Nze9yxjOcqMp9Q9nF486G/OIjY1FREQE+3fTpk0B/E840tPTcfr0abNz6d7e3uByuQYzJ9nZ2axfTj8/PyiVShQWFuq1PiqnoVDqAmcRCVPUmfVSqRStW7dmLxcXF1Y4Hjx4gFOnTlXrF1MgECA0NBTJyclsmFarRXJyMnr16gUACA0NBZ/P10tz7949ZGRksGlqAl3vQbEV2vKwEyqVCsOHD8f169dx+PBhaDQadkzC09OTHVsYMGAAhg0bhpkzZwIA5s6di3HjxqFHjx4IDw/Hxo0bUVJSws6+yGQyTJw4EXPnzoWnpyfc3Nwwa9Ys9OrVq8au/lUqFZ1todiMs4iEKeqNeDx9+pQ9OqBbt256cWfOnMErr7wCAHj48CFyc3PZuFGjRuH58+eIj49HVlYWunXrhuPHj+sNom7YsAEcDgdvvvkmKioqEB0djc2bN9fIXqVSiYKCgkZ7Viul5lDxsBMtWrSwaNrz77//NgibOXMm2xIxhkgkQkJCAhISEmpiIovOHT+Px6OzLRSboeLRyFCr1axzXDc3N5tOaaNQACoejQqGYSCXyyESieDl5VVjZzCUxg0Vj0aEUCgEl8t1yAFAFOejpjNtzv4MUfGwAkIIXF1d2RaHSqWCWq2usUep+oY1Z8bm5+c70JLaRy6XQ61WG5wtUxVCSI1PuKPi0YgQi8UoKChgxUJ3sNLRo0ctOuhZq9VCqVSCYRgDD93mIIRAqVSCEAKBQFCjh86SskaOHGk0L4/HY0+F0wloYmKiTXbofqB8Pt/iQ7IB279DS8vSjWnpTtUzBiEEarW6xi0PZ9nDYgoqHlagu9mVHypCCIRCIfh8vkVl8Pl8FBQUQKPRwMPDw6JDkgoKCqBWq+Hh4WFxPeYQiUQoKChAcXGx0TLLysoM8ojFYri6uqK4uFjvgCaRSGSzHSUlJSguLoZEIoFYLK42vUqlgkKhAI/Hs+i7s4Sq94PL5bJHcRoTD61WC5VKBUKIXdwQOjNUPKyk6kOl1Wqt2iAnEAhY79sKhcLs+IlWq2W9ljVp0sSu08JNmjRBXl4e5HK5wUFGVZvsUqkUYrEYcrkcRUVFBp/HVgQCAXg8HisIUqnUZFqlUgm5XA6hUGjXMaeq90MqlbL3uGodOuEAXox/1XRHtbOLh3Nb76To/IHoPJIZa/7qhEOlUtn1lDIdlp5DIpVK4ebmBoVCYSAc9sCS8nXravh8vkMGqyvfj8LCQpP3o6Kigu3uWdPVMoWzL093DisbIOYExNHCoaM6AXG0cFhSj6OFQ4fufqjVamg0Gr1WhSOEA3B+8aDdFgvRPUyVm666sIqKCpvXfEgkEsjlcmRlZbE7iBUKBTQaDWQymd7gpKPQbUrMzs6GTCYDn8+HWCyGRCJBcXExysvLTY61lJaW2sUGLpcLoVCI/Px8VFRUsLNacrkcXC4XLi4uKC8vt0td5nB1dUVpaaneZ9bdbx6PB0II+7dO8G3tvjiLSJiCIdQVlkU8efLEwJsYhQIAjx8/RmBgYF2bUetQ8bAQrVaLzMxMdkDNFhQKBZo1a4bHjx/X+MyP2sZZbXek3YQQFBUVISAgwOlbEbZAuy0WwuFw7PZ2MeeZrL7jrLY7ym6ZTGb3Mp2FxieXFArFLlDxoFAoNkHFoxYRCoVYvHixUzoQclbbndVuZ4AOmFIoFJugLQ8KhWITVDwoFIpNUPGgUCg2QcWDQqHYBBWPGqBSqTBv3jx07twZYrEYAQEBGDt2LDIzM6vNm5CQgBYtWkAkEiEiIgJXr17Viy8vL8eMGTPg5eUFiUSCN9980+BkvJpQXf1VSUxMREhICEQiETp37oyjR4/qxRNCEB8fD39/f7i4uCAqKgoPHjywm73Ai8PHw8LCIJVK0aRJE8TFxeHevXvV5qsPtjdICMVmCgsLSVRUFNm7dy/566+/yOXLl0l4eDgJDQ01m2/Pnj1EIBCQbdu2kdu3b5NJkyYRd3d3kp2dzaaZOnUqadasGUlOTiYpKSmkZ8+epHfv3nax25L6K3Pp0iXC5XLJ6tWryZ07d8jChQsJn88nN2/eZNN8/vnnRCaTkaSkJPLHH3+Q2NhYEhwcTMrKyuxiMyGEREdHk+3bt5Nbt26R33//nQwePJg0b96cFBcXm8xTX2xviFDxsDNXr14lAEh6errJNOHh4WTGjBns3xqNhgQEBJBVq1YRQl6IEp/PJ4mJiWyau3fvEgDk8uXLNbaxuvqrMnLkSBITE6MXFhERQaZMmUIIIUSr1RI/Pz+yZs0aNr6wsJAIhULy448/1theU+Tk5BAA5Ny5cybT1FfbGwK022Jn5HI5GIbRO1S7MkqlEqmpqYiKimLDOBwOoqKicPnyZQBAamoqVCqVXpqQkBA0b96cTWMrltRflcuXL+ulB4Do6Gg2fVpaGrKysvTSyGQyRERE1Nhec+h8yXp6eppMU19tbwhQ8bAj5eXlmDdvHkaPHm1yE1Zubi40Go3ecZgA4Ovry57Nm5WVBYFAYCBAldPYiiX1VyUrK6tae3Vh9rbXFFqtFrNnz0afPn3QqVMnk+nqo+0NBSoeVrBr1y5IJBL2unDhAhunUqkwcuRIEELwzTff1KGVjYMZM2bg1q1b2LNnT12b0mihW/KtIDY2FhEREezfTZs2BfA/4UhPT8fp06fNbv329vYGl8s1mDnJzs6Gn58fAMDPzw9KpRKFhYV6rY/KaWzFkvqr4ufnV629ujB/f3+9NFUPLbcHM2fOxOHDh3H+/Plq3STUN9sbErTlYQVSqRStW7dmL537vpEjR+LBgwc4deoUvLy8zJYhEAgQGhqK5ORkNkyr1SI5ORm9evUCAISGhoLP5+uluXfvHjIyMtg0tmJJ/VXp1auXXnoAOHnyJJs+ODgYfn5+emkUCgWuXLlSY3srQwjBzJkzceDAAZw+fRrBwcHV5qkvtjdI6nrE1plRKpUkNjaWBAYGkt9//508e/aMvSoqKth0/fv3J19//TX79549e4hQKCQ7duwgd+7cIZMnTybu7u4kKyuLTTN16lTSvHlzcvr0aZKSkkJ69epFevXqZRe7q6v/3XffJZ988gmb/tKlS4TH45G1a9eSu3fvksWLFxud7nR3dycHDx4kf/75Jxk6dKjdpzunTZtGZDIZOXv2rN53XVpayqapr7Y3RKh41IC0tDQCwOh15swZNl1QUBBZvHixXt6vv/6aNG/enAgEAhIeHk5+++03vfiysjIyffp04uHhQVxdXcmwYcPIs2fP7Ga7ufojIyPJuHHj9NLv27ePtG3blggEAtKxY0dy5MgRvXitVksWLVpEfH19iVAoJAMGDCD37t2zm72EEJPf9fbt2+u97Q0RuiWfQqHYBB3zoFAoNkHFg0Kh2AQVDwqFYhNUPCgUik1Q8aBQKDZBxYNCodgEFQ8KhWITVDwoFIpNUPGgGOW7777DwIEDHV7P8ePH0a1bN2i1WofXRbEvVDwoBpSXl2PRokVYvHixw+saNGgQ+Hw+du3a5fC6KPaFigfFgP3798PNzQ19+vSplfrGjx+Pr776qlbqotgPKh4NmOfPn8PPzw8rV65kw3799VcIBAKDbeqV2bNnD4YMGaIX9sorr2D27Nl6YXFxcRg/fjz7d4sWLbBixQqMHTsWEokEQUFBOHToEJ4/f46hQ4dCIpGgS5cuSElJ0StnyJAhSElJwcOHD23/sJRah4pHA8bHxwfbtm3DkiVLkJKSgqKiIrz77ruYOXMmBgwYYDLfxYsX0aNHD5vq3LBhA/r06YMbN24gJiYG7777LsaOHYsxY8bg+vXraNWqFcaOHYvK+zGbN28OX19fPc9slPoPFY8GzuDBgzFp0iS88847mDp1KsRiMVatWmUyfWFhIeRyOQICAmyub8qUKWjTpg3i4+OhUCgQFhaGESNGoG3btpg3bx7u3r1r4N0rICAA6enpNtVJqRuoeDQC1q5dC7VajcTEROzatQtCodBk2rKyMgCASCSyqa4uXbqw/9c5Fe7cubNBWE5Ojl4+FxcXlJaW2lQnpW6g4tEIePjwITIzM6HVavH333+bTevl5QWGYVBQUFBtuRqNxiCMz+ez/2cYxmRY1anZ/Px8+Pj4VFsnpf5AxaOBo1QqMWbMGIwaNQrLly/H+++/b/DWr4xAIECHDh1w584dg7iqXY1Hjx7Zxcby8nI8fPgQ3bt3t0t5lNqBikcD59NPP4VcLsdXX32FefPmoW3btnjvvffM5omOjsbFixcNwg8ePIiffvoJDx8+xGeffYY7d+4gPT0dT58+rZGNv/32G4RCIXU47GRQ8WjAnD17Fhs3bsTOnTvh5uYGDoeDnTt34sKFC2bPlpk4cSKOHj3KnsimIyYmBqtXr0aHDh1w/vx5bN68GVevXsXOnTtrZOePP/6Id955B66urjUqh1K7UB+mFKOMGDECL730EubPnw/gxTqPbt26YePGjXatJzc3F+3atUNKSopFRylQ6g+05UExypo1ayCRSBxez99//43NmzdT4XBCaMuDYhGOanlQnBcqHhQKxSZot4VCodgEFQ8KhWITVDwoFIpNUPGgUCg2QcWDQqHYBBUPCoViE1Q8KBSKTVDxoFAoNvH/AY/M+Lm/Wa/4AAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.2951e-01\n",
      "\tgrad_norm = 4.7624e-03\n",
      "step = 20\n",
      "beta = 16.88\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.3623e-01\n",
      "\tgrad_norm = 3.3963e-03\n",
      "step = 21\n",
      "beta = 17.50\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.4142e-01\n",
      "\tgrad_norm = 2.8210e-03\n",
      "step = 22\n",
      "beta = 18.12\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.4584e-01\n",
      "\tgrad_norm = 3.0746e-03\n",
      "step = 23\n",
      "beta = 18.75\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.4950e-01\n",
      "\tgrad_norm = 3.4878e-03\n",
      "step = 24\n",
      "beta = 19.38\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.5294e-01\n",
      "\tgrad_norm = 2.5567e-03\n",
      "step = 25\n",
      "beta = 20.00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\tJ = 7.5589e-01\n",
      "\tgrad_norm = 2.9656e-03\n",
      "CPU times: user 3min 5s, sys: 1.42 s, total: 3min 6s\n",
      "Wall time: 20min 18s\n"
     ]
    }
   ],
   "execution_count": 28
  },
  {
   "cell_type": "markdown",
   "id": "e068f2a8-0522-49e6-a8e2-c06a0201d702",
   "metadata": {},
   "source": [
    "## Analysis\n",
    "\n",
    "Now is the fun part! We get to take a look at our optimization results.\n",
    "\n",
    "We first plot the objective function values over the course of optimization, which should show a steady increase and leveling off, indicating that we've found a maximum."
   ]
  },
  {
   "cell_type": "code",
   "id": "799483e1-448f-4a20-b4e9-fbbea5955424",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:33:21.815309Z",
     "start_time": "2026-03-17T09:33:21.740555Z"
    }
   },
   "source": [
    "plt.plot(objective_history)\n",
    "plt.xlabel(\"iterations\")\n",
    "plt.ylabel(\"objective function\")\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 29
  },
  {
   "cell_type": "markdown",
   "id": "1ec30ee7-ccf4-463b-8dbb-43eed33fc3ff",
   "metadata": {},
   "source": [
    "Next, we can look at the performance of our optimized device, we first construct it using the final parameter values and then take a look at the design."
   ]
  },
  {
   "cell_type": "code",
   "id": "857429ef-e2a5-4b67-8489-b4e22b38b026",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:33:21.999927Z",
     "start_time": "2026-03-17T09:33:21.821253Z"
    }
   },
   "source": [
    "params_final = param_history[-1]\n",
    "sim_final = get_sim(params_final, beta=beta)\n",
    "sim_final.plot_eps(z=0)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 30
  },
  {
   "cell_type": "markdown",
   "id": "2f0f78ae-7e1a-4abc-82bd-107fa69c05e6",
   "metadata": {},
   "source": [
    "It seems to exhibit large feature sizes, which is promising! There are some discontinuities with the waveguide, which could be rectified with a more advanced approach but it is beyond the scope of this notebook.\n",
    "\n",
    "Let's add a multi-frequency mode monitor and a field monitor to inspect the performance."
   ]
  },
  {
   "cell_type": "code",
   "id": "9f5416aa-8307-4948-833c-92a4cee6c90e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:34:16.572348Z",
     "start_time": "2026-03-17T09:33:22.020760Z"
    }
   },
   "source": [
    "mode_monitor_final = mode_monitor.updated_copy(\n",
    "    freqs=td.C_0 / np.linspace(wvl0 * 1.2, wvl0 / 1.2, 101)\n",
    ")\n",
    "sim_final = sim_final.updated_copy(monitors=(field_monitor, mode_monitor_final))\n",
    "sim_data_final = web.run(sim_final, task_name=\"inv_des_final\")"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:33:22 CET\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'inv_des_final'\u001b[0m with resource_id                      \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-8ee94920-9caa-4010-a498-827e17b52c78'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m.  \n"
      ],
      "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\">10:33:22 CET </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'inv_des_final'</span> with resource_id                      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-8ee94920-9caa-4010-a498-827e17b52c78'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=47464;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=10402;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=47464;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=297216;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=47464;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[32m-8ee94920-9ca\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=47464;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[32ma-4010-a498-827e17b52c78'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ],
      "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-8ee94920-9caa-4010-a498-827e17b52c78\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9ca</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">a-4010-a498-827e17b52c78'</span></a>.                                         \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=818138;https://tidy3d.simulation.cloud/folders/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "3cb2d1ab8bd345ac807350f471de945a"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:33:32 CET\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.328\u001b[0m. Minimum cost depends on task     \n",
       "\u001b[2;36m             \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed  \n",
       "\u001b[2;36m             \u001b[0mFlexCredit cost after a simulation run.                            \n"
      ],
      "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\">10:33:32 CET </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.328</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:33:34 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                    \n"
      ],
      "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\">10:33:34 CET </span>status = queued                                                    \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or              \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.      \n",
       "\u001b[2;36m             \u001b[0mTerminating the Python script will not stop the job running on the \n",
       "\u001b[2;36m             \u001b[0mcloud.                                                             \n"
      ],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "6e027ef146de4008a8b5013c3954d3cd"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:33:51 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                \n"
      ],
      "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\">10:33:51 CET </span>status = preprocess                                                \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:33:56 CET\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                 \n"
      ],
      "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\">10:33:56 CET </span>starting up solver                                                 \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:33:57 CET\u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                     \n"
      ],
      "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\">10:33:57 CET </span>running solver                                                     \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "003ac7733cd44fd4ac46bc568bfac5df"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:34:05 CET\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m2\u001b[0m%, exiting.                             \n"
      ],
      "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\">10:34:05 CET </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>%, exiting.                             \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:34:06 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                               \n"
      ],
      "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\">10:34:06 CET </span>status = postprocess                                               \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "d50b0de274cc4153b0a0b0c7b2efefc9"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:34:09 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                   \n"
      ],
      "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\">10:34:09 CET </span>status = success                                                   \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:34:11 CET\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=12434;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=974860;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=12434;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=527021;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=12434;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[4;34m-8ee94920-9ca\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=12434;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\u001b\\\u001b[4;34ma-4010-a498-827e17b52c78'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                         \n"
      ],
      "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\">10:34:11 CET </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9ca</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8ee94920-9caa-4010-a498-827e17b52c78\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">a-4010-a498-827e17b52c78'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "91d94645083549f2b3a6edbd7475caf1"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\u001b[2;36m10:34:16 CET\u001b[0m\u001b[2;36m \u001b[0mLoading results from simulation_data.hdf5                          \n"
      ],
      "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\">10:34:16 CET </span>Loading results from simulation_data.hdf5                          \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 31
  },
  {
   "cell_type": "code",
   "id": "3bf3d162-f158-4970-aac6-0a526ec9c319",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:34:19.486601Z",
     "start_time": "2026-03-17T09:34:16.575942Z"
    }
   },
   "source": [
    "f, ((ax0, ax1), (ax2, ax3)) = plt.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
    "sim_final.plot_eps(z=0.01, ax=ax0)\n",
    "ax1 = sim_data_final.plot_field(\"field\", \"E\", \"abs^2\", z=0, ax=ax1)\n",
    "ax2 = sim_data_final.plot_field(\"field\", \"Ex\", z=0, ax=ax2)\n",
    "ax3 = sim_data_final.plot_field(\"field\", \"Ey\", z=0, ax=ax3)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x700 with 8 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 32
  },
  {
   "cell_type": "code",
   "id": "a8f930a9-4416-49f0-95bb-e8335eef56e3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:34:19.543028Z",
     "start_time": "2026-03-17T09:34:19.497499Z"
    }
   },
   "source": [
    "transmission = abs(sim_data_final[\"mode\"].amps.sel(direction=\"-\")) ** 2\n",
    "transmission_db = 10 * np.log10(transmission)\n",
    "wavelength = td.C_0 / transmission.f\n",
    "\n",
    "plt.plot(wavelength, transmission_db, c=\"red\", linewidth=3)\n",
    "plt.xlabel(\"wavelength (μm)\")\n",
    "plt.ylabel(\"transmission (dB)\")\n",
    "plt.ylim(-10, 0)\n",
    "plt.grid()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 33
  },
  {
   "cell_type": "markdown",
   "id": "269a485f-cfec-42a3-88f7-97a24ebef5a1",
   "metadata": {},
   "source": [
    "It seems to perform quite well! Let's export the simulation to a GDS file for fabrication!"
   ]
  },
  {
   "cell_type": "code",
   "id": "58734838-82a9-434f-804e-632df1276407",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:34:19.549120Z",
     "start_time": "2026-03-17T09:34:19.547485Z"
    }
   },
   "source": [
    "# uncomment below to export\n",
    "\n",
    "# sim_final.to_gds_file(\n",
    "#     fname=\"./misc/invdes_bend.gds\",\n",
    "#     z=0,\n",
    "#     frequency=freq0,\n",
    "#     permittivity_threshold=(eps_mat + 1) / 2.0\n",
    "# )"
   ],
   "outputs": [],
   "execution_count": 34
  },
  {
   "cell_type": "markdown",
   "id": "84db1fbf-b577-455a-94ba-7ff6d28db1f3",
   "metadata": {},
   "source": [
    "## Using Inverse Design Plugin\n",
    "\n",
    "The code above showed the fully flexible, function approach to performing inverse design, but we also provide and alternative, higher-level syntax for defining these sorts of problems and makes it possible with far less code. \n",
    "\n",
    "This is done through the Inverse Design plugin (`tidy3d.plugins.invdes`). For a full tutorial, refer to [this example](https://docs.simulation.cloud/projects/tidy3d/en/latest/notebooks/InverseDesign.html).\n",
    "\n",
    "Below we set up the same implementation of the optimization but just in a few lines of code."
   ]
  },
  {
   "cell_type": "code",
   "id": "9eb0d477-b1f5-450a-83c2-451a6119478b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-17T09:34:19.924189Z",
     "start_time": "2026-03-17T09:34:19.592108Z"
    }
   },
   "source": [
    "import tidy3d.plugins.invdes as tdi\n",
    "from tidy3d.plugins.expressions import ModePower\n",
    "\n",
    "design_region = tdi.TopologyDesignRegion(\n",
    "    size=design_region_geometry.size,\n",
    "    center=design_region_geometry.center,\n",
    "    eps_bounds=(1.0, eps_mat),\n",
    "    pixel_size=pixel_size,\n",
    "    transformations=[tdi.FilterProject(radius=radius, beta=beta_max)],\n",
    "    penalties=[tdi.ErosionDilationPenalty(length_scale=radius)],\n",
    "    initialization_spec=tdi.CustomInitializationSpec(\n",
    "        params=param_history[-1]\n",
    "    ),  # use the final parameters to start this optimization, if left blank, will be uniform\n",
    ")\n",
    "\n",
    "design = tdi.InverseDesign(\n",
    "    simulation=sim_base,\n",
    "    design_region=design_region,\n",
    "    task_name=\"invdes\",\n",
    "    metric=ModePower(monitor_name=\"mode\", f=[freq0], direction=\"-\"),\n",
    ")\n",
    "\n",
    "optimizer = tdi.AdamOptimizer(\n",
    "    design=design,\n",
    "    num_steps=2,\n",
    "    learning_rate=0.1,\n",
    ")\n",
    "\n",
    "# make True to run the optimizer for the number of steps defined above\n",
    "run_optimizer = False\n",
    "\n",
    "if run_optimizer:\n",
    "    result = optimizer.run()\n",
    "    result.plot_optimization()"
   ],
   "outputs": [],
   "execution_count": 35
  },
  {
   "cell_type": "markdown",
   "id": "defd1181-7b47-4f52-971d-1be05c4170aa",
   "metadata": {},
   "source": [
    "## Other Examples\n",
    "\n",
    "Here are some other selected inverse design examples if you want to explore more!\n",
    "\n",
    "- [Mode converter](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd3InverseDesign.html)\n",
    "- [Shape optimized taper](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd5BoundaryGradients.html)\n",
    "- [Metalens optimization](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd7Metalens.html)\n",
    "- [Wavelength division de-multiplexer](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd9WDM.html)"
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates the inverse design of a compact waveguide bend with permittivity binarization and minimum feature size control.",
  "feature_image": "./img/adjoint_18.png",
  "features": [
   "Adjoint inverse design"
  ],
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "keywords": "inverse design, silicon photonics, waveguide bend, photonic integrated circuits, design optimization, topology optimization, adjoint, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.10"
  },
  "title": "Topology Optimization of a Waveguide Bend in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
