90OpticalHybrid.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "223695de",
   "metadata": {},
   "source": [
    "# 90 degree optical hybrid"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29d2491d",
   "metadata": {},
   "source": [
    "Note: The cost of running the entire notebook is higher than 1 FlexCredit.\n",
    "\n",
    "90 degree optical hybrids (also known as quadrature optical hybrids) are essential components in coherent transmission systems. A 90 degree optical hybrid is a six-port device consisting of two inputs and four outputs. In the ideal case, the outputs are the mixed signals of the inputs with 0, $\\pi$/2, $\\pi$, and 3$\\pi$/2 relative phase shifts. \n",
    "\n",
    "This notebook demonstrates the simulation of a compact and low-loss 90 degree optical hybrid based on a silicon-on-insulator platform. The device consists of a Y-branch, three 2x2 MMIs, and four 90 degree waveguide bends. Building those structures natively in `Tidy3D` is certainly doable but time consuming. Here, we build the device structures in a separate CAD editor and [import the stl file](https://www.flexcompute.com/tidy3d/examples/notebooks/STLImport/) into `Tidy3D` for simulation. To use this functionality, remember to install Tidy3D as `pip install \"tidy3d[trimesh]\"`, which will install optional dependencies needed for processing surface meshes.\n",
    "\n",
    "The device design is adapted from [Hang Guan et al., \"Compact and low loss 90° optical hybrid on a silicon-on-insulator platform,\" Opt. Express 25, 28957-28968 (2017)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-25-23-28957&id=376719).\n",
    "\n",
    "<img src=\"img/optical_hybrid_schematic.png\" width=\"700\" alt=\"Schematic of the optical hybrid\">\n",
    "\n",
    "For more integrated photonic examples such as the [8-Channel mode and polarization de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/), the [broadband bi-level taper polarization rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/), and the [broadband directional coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/BroadbandDirectionalCoupler/), please visit our [examples page](https://www.flexcompute.com/tidy3d/examples/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0c653ce0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:41.729767Z",
     "iopub.status.busy": "2024-06-11T17:53:41.728018Z",
     "iopub.status.idle": "2024-06-11T17:53:44.060666Z",
     "shell.execute_reply": "2024-06-11T17:53:44.060056Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a604f3ef",
   "metadata": {},
   "source": [
    "## Simulation of the 2x2 MMI "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97cb0b02",
   "metadata": {},
   "source": [
    "To design the optical hybrid, we first design each component individually. For the Y-branch, we will use the same low-loss design demonstrated in the [reference](https://opg.optica.org/oe/fulltext.cfm?uri=oe-21-1-1310&id=248418) and our Y-branch [notebook](https://www.flexcompute.com/tidy3d/examples/notebooks/YJunction/). The waveguide bends can be Euler bends or circular bands, which is also demonstrated in another [notebook](https://www.flexcompute.com/tidy3d/examples/notebooks/EulerWaveguideBend/). \n",
    "\n",
    "For the 2x2 MMIs, an optimized design is demonstrated here. The design aims to have equal power splitting and a 90 degree phase difference in the through port and cross port. To simulate the MMI, we also built the structure as a stl file and only import it here.\n",
    "\n",
    "First, define some basic simulation parameters. We simulate at a relatively narrow wavelength band of 1530 nm to 1560 nm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "145c702f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:44.062928Z",
     "iopub.status.busy": "2024-06-11T17:53:44.062676Z",
     "iopub.status.idle": "2024-06-11T17:53:44.080505Z",
     "shell.execute_reply": "2024-06-11T17:53:44.079796Z"
    }
   },
   "outputs": [],
   "source": [
    "lda0 = 1.55  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.53, 1.56, 101)  # wavelength range\n",
    "freqs = td.C_0 / ldas  # frequency range\n",
    "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5103bb83",
   "metadata": {},
   "source": [
    "Define material properties. For simplicity, we only use non-dispersive materials in this simulation. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e3439f1c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:44.082926Z",
     "iopub.status.busy": "2024-06-11T17:53:44.082722Z",
     "iopub.status.idle": "2024-06-11T17:53:44.101445Z",
     "shell.execute_reply": "2024-06-11T17:53:44.100840Z"
    }
   },
   "outputs": [],
   "source": [
    "n_si = 3.47  # silicon refractive index\n",
    "si = td.Medium(permittivity=n_si**2)\n",
    "\n",
    "n_sio2 = 1.45  # silicon oxide refractive index\n",
    "sio2 = td.Medium(permittivity=n_sio2**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d4136ea",
   "metadata": {},
   "source": [
    "The structures will be imported from stl files, but it is good to define some geometric parameters to help set up the source, monitors, and simulation domains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "db0b8467",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:44.103483Z",
     "iopub.status.busy": "2024-06-11T17:53:44.103327Z",
     "iopub.status.idle": "2024-06-11T17:53:44.121640Z",
     "shell.execute_reply": "2024-06-11T17:53:44.121099Z"
    }
   },
   "outputs": [],
   "source": [
    "thickness = 0.22  # si layer thickness\n",
    "width = 0.5  # waveguide width"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01374e67",
   "metadata": {},
   "source": [
    "Import the MMI geometry from the stl file and define the MMI structure. All stl files used in this notebook can be downloaded from our documentation [repo](https://github.com/flexcompute/tidy3d-notebooks/tree/develop/misc)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0c2bd24e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:44.123625Z",
     "iopub.status.busy": "2024-06-11T17:53:44.123441Z",
     "iopub.status.idle": "2024-06-11T17:53:44.431968Z",
     "shell.execute_reply": "2024-06-11T17:53:44.431327Z"
    }
   },
   "outputs": [],
   "source": [
    "# import mmi geometry from a stl file\n",
    "mmi_geometry = td.TriangleMesh.from_stl(\n",
    "    filename=\"misc/mmi_stl.stl\",\n",
    ")\n",
    "\n",
    "# define mmi structure\n",
    "mmi = td.Structure(geometry=mmi_geometry, medium=si)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92f94448",
   "metadata": {},
   "source": [
    "Define a [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html) launching the TE0 mode at the top left waveguide. Two [ModeMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html) are added to the waveguides on the right to measure the power and phase of the outputs. To visualize the field distribution within the MMI region, we also add a [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) in the xy plane. Finally, define a [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9a9eacde",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:44.434519Z",
     "iopub.status.busy": "2024-06-11T17:53:44.434070Z",
     "iopub.status.idle": "2024-06-11T17:53:44.466800Z",
     "shell.execute_reply": "2024-06-11T17:53:44.466227Z"
    }
   },
   "outputs": [],
   "source": [
    "mode_spec = td.ModeSpec(\n",
    "    num_modes=1, target_neff=n_si\n",
    ")  # define a ModeSpec used in mode source and monitors\n",
    "\n",
    "# define a mode source\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-5, 0.45, 0),\n",
    "    size=(0, 2 * width, 6 * thickness),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"+\",\n",
    "    mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# define a mode monitor at the through port\n",
    "mode_monitor_through = td.ModeMonitor(\n",
    "    center=(6, 0.45, 0),\n",
    "    size=(0, 2 * width, 6 * thickness),\n",
    "    freqs=freqs,\n",
    "    name=\"through\",\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "# define a mode monitor at the cross port\n",
    "mode_monitor_cross = td.ModeMonitor(\n",
    "    center=(6, -0.45, 0),\n",
    "    size=(0, 2 * width, 6 * thickness),\n",
    "    freqs=freqs,\n",
    "    name=\"cross\",\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "# define a field monitor at the xp plane\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, 0), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")\n",
    "\n",
    "run_time = 1e-12  # simulation run time\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=(13, 5, 10 * thickness),\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=30, wavelength=lda0),\n",
    "    structures=[mmi],\n",
    "    sources=[mode_source],\n",
    "    monitors=[field_monitor, mode_monitor_through, mode_monitor_cross],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    medium=sio2,\n",
    "    symmetry=(0, 0, 1),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e664e13",
   "metadata": {},
   "source": [
    "Visualize the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e6dcdfa3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:44.468746Z",
     "iopub.status.busy": "2024-06-11T17:53:44.468598Z",
     "iopub.status.idle": "2024-06-11T17:53:44.789869Z",
     "shell.execute_reply": "2024-06-11T17:53:44.789320Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim.plot(z=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9da5f01a",
   "metadata": {},
   "source": [
    "Submit the simulation job to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1b6fec84",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:53:44.791770Z",
     "iopub.status.busy": "2024-06-11T17:53:44.791612Z",
     "iopub.status.idle": "2024-06-11T17:55:19.092231Z",
     "shell.execute_reply": "2024-06-11T17:55:19.091679Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:53:45 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'mmi'</span> with task_id                                   \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a26f1de4-1c45-4278-885a-d72c19338a62'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:53:45 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'mmi'\u001b[0m with task_id                                   \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-a26f1de4-1c45-4278-885a-d72c19338a62'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">45-4278-885a-d72c19338a62'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=371840;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=72370;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=371840;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=353641;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=371840;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[32m-a26f1de4-1c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=371840;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[32m45-4278-885a-d72c19338a62'\u001b[0m\u001b]8;;\u001b\\.                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "82feed62c6e8488b80185ad987af12c8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:53:51 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:53:51 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2bd18b447c2c4d1d95dd92dc09c400b2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:53:54 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:53:54 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:53:56 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.150</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to   \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>get the billed FlexCredit cost after a simulation run.            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:53:56 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.150\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to   \n",
       "\u001b[2;36m              \u001b[0mget the billed FlexCredit cost after a simulation run.            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6442dabeb1124ba6863bfc2984fec75d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:09 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">88</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:09 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m88\u001b[0m%, exiting.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "33fc431e860e4f7285dfcc1c3400dded",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:14 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:14 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:15 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">45-4278-885a-d72c19338a62'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:15 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=746513;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=371000;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=746513;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=642834;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=746513;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[4;34m-a26f1de4-1c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=746513;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a26f1de4-1c45-4278-885a-d72c19338a62\u001b\\\u001b[4;34m45-4278-885a-d72c19338a62'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0889cdc7257743069ba943c370896a57",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:19 CEST </span>loading simulation from data/simulation_data.hdf5                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:19 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/simulation_data.hdf5                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"mmi\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e8dd3b3",
   "metadata": {},
   "source": [
    "The simulation is complete and the monitor data have been downloaded. First, we plot the field intensity distribution to visualize the power flow. We can observe that the two outputs have a similar intensity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ceed0bb5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:20.804683Z",
     "iopub.status.busy": "2024-06-11T17:55:20.804474Z",
     "iopub.status.idle": "2024-06-11T17:55:22.069497Z",
     "shell.execute_reply": "2024-06-11T17:55:22.068898Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data.plot_field(field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", vmax=2000)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "daca909a",
   "metadata": {},
   "source": [
    "To quantitatively investigate the power in the two output waveguides, we compute the power from the mode amplitudes. Compared to the simulation results reported in the reference, the small discrepancy here is likely due to the different material properties used.\n",
    "\n",
    "Ideally, both power levels are 3 dB. Here, we see the through port has a slightly lower power level than the cross port. However, the small difference is acceptable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5ce5307d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:22.074007Z",
     "iopub.status.busy": "2024-06-11T17:55:22.073826Z",
     "iopub.status.idle": "2024-06-11T17:55:22.297816Z",
     "shell.execute_reply": "2024-06-11T17:55:22.297216Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute power at the through port\n",
    "P_through = np.abs(sim_data[\"through\"].amps.sel(direction=\"+\").values) ** 2\n",
    "# compute power at the cross port\n",
    "P_cross = np.abs(sim_data[\"cross\"].amps.sel(direction=\"+\").values) ** 2\n",
    "\n",
    "# plot loss\n",
    "plt.plot(ldas, -10 * np.log10(P_through), label=\"through port\")\n",
    "plt.plot(ldas, -10 * np.log10(P_cross), label=\"cross port\")\n",
    "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "plt.ylim(2.5, 4)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d38f9656",
   "metadata": {},
   "source": [
    "Lastly, we check the phase difference in the two outputs. Within the wavelength range, the phase difference is only about 1 degree from the ideal 90 degree."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "38b9fa2c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:22.300737Z",
     "iopub.status.busy": "2024-06-11T17:55:22.300487Z",
     "iopub.status.idle": "2024-06-11T17:55:22.422622Z",
     "shell.execute_reply": "2024-06-11T17:55:22.421984Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute phase at the through port\n",
    "phase_through = np.angle(sim_data[\"through\"].amps.sel(direction=\"+\").values)\n",
    "# compute phase at the cross port\n",
    "phase_cross = np.angle(sim_data[\"cross\"].amps.sel(direction=\"+\").values)\n",
    "# compute phase difference\n",
    "delta_phase = np.mod(phase_through - phase_cross, 2 * np.pi) * 180 / np.pi\n",
    "\n",
    "# plot phase difference\n",
    "plt.plot(ldas, delta_phase)\n",
    "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Phase difference\")\n",
    "plt.ylim(85, 95)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1da6cff",
   "metadata": {},
   "source": [
    "## Simulation of the Optical Hybrid -- LO Input "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1eda90a4",
   "metadata": {},
   "source": [
    "Now that we have tested individual components, we can put them together and simulate the whole device. Again, we directly import the geometry from a stl file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1b616031",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:22.426118Z",
     "iopub.status.busy": "2024-06-11T17:55:22.425917Z",
     "iopub.status.idle": "2024-06-11T17:55:22.468845Z",
     "shell.execute_reply": "2024-06-11T17:55:22.468248Z"
    }
   },
   "outputs": [],
   "source": [
    "# import optical hybrid geometry from a stl file\n",
    "optical_hybrid_geometry = td.TriangleMesh.from_stl(\n",
    "    filename=\"misc/optical_hybrid_stl.stl\",\n",
    ")\n",
    "\n",
    "# define optical hybrid structure\n",
    "optical_hybrid = td.Structure(geometry=optical_hybrid_geometry, medium=si)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c88dd404",
   "metadata": {},
   "source": [
    "In the first case, define a [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html) at the LO input and four ModeMonitors at the outputs. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e9115162",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:22.471259Z",
     "iopub.status.busy": "2024-06-11T17:55:22.471043Z",
     "iopub.status.idle": "2024-06-11T17:55:22.497383Z",
     "shell.execute_reply": "2024-06-11T17:55:22.496756Z"
    }
   },
   "outputs": [],
   "source": [
    "# define a mode source at the LO input waveguide on the top y branch\n",
    "mode_source_LO = td.ModeSource(\n",
    "    center=(0, 1, 0),\n",
    "    size=(2 * width, 0, 4 * thickness),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"-\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# define mode monitors at the four output waveguides\n",
    "\n",
    "mode_monitor_Qn = td.ModeMonitor(\n",
    "    center=(-16, -6, 0),\n",
    "    size=(0, 2 * width, 4 * thickness),\n",
    "    freqs=freqs,\n",
    "    name=\"port_Qn\",\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "mode_monitor_Qp = td.ModeMonitor(\n",
    "    center=(-16, -6.9, 0),\n",
    "    size=(0, 2 * width, 4 * thickness),\n",
    "    freqs=freqs,\n",
    "    name=\"port_Qp\",\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "\n",
    "mode_monitor_In = td.ModeMonitor(\n",
    "    center=(16, -6, 0),\n",
    "    size=(0, 2 * width, 4 * thickness),\n",
    "    freqs=freqs,\n",
    "    name=\"port_In\",\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "mode_monitor_Ip = td.ModeMonitor(\n",
    "    center=(16, -6.9, 0),\n",
    "    size=(0, 2 * width, 4 * thickness),\n",
    "    freqs=freqs,\n",
    "    name=\"port_Ip\",\n",
    "    mode_spec=mode_spec,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5991fddf",
   "metadata": {},
   "source": [
    "Define the simulation. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "338b72df",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:22.500196Z",
     "iopub.status.busy": "2024-06-11T17:55:22.499930Z",
     "iopub.status.idle": "2024-06-11T17:55:22.531569Z",
     "shell.execute_reply": "2024-06-11T17:55:22.530929Z"
    }
   },
   "outputs": [],
   "source": [
    "run_time = 2e-12  # simulation run time\n",
    "\n",
    "# define simulation\n",
    "sim = td.Simulation(\n",
    "    center=(0, -10, 0),\n",
    "    size=(33, 23, 10 * thickness),\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "    structures=[optical_hybrid],\n",
    "    sources=[mode_source_LO],\n",
    "    monitors=[\n",
    "        field_monitor,\n",
    "        mode_monitor_Qn,\n",
    "        mode_monitor_Qp,\n",
    "        mode_monitor_In,\n",
    "        mode_monitor_Ip,\n",
    "    ],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    medium=sio2,\n",
    "    symmetry=(0, 0, 1),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d11a3a5a",
   "metadata": {},
   "source": [
    "Visualize the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "c2f7cdc2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:22.534790Z",
     "iopub.status.busy": "2024-06-11T17:55:22.534556Z",
     "iopub.status.idle": "2024-06-11T17:55:22.768783Z",
     "shell.execute_reply": "2024-06-11T17:55:22.768098Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b733c0b8",
   "metadata": {},
   "source": [
    "Submit the simulation job to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7ae31213",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:55:22.770997Z",
     "iopub.status.busy": "2024-06-11T17:55:22.770782Z",
     "iopub.status.idle": "2024-06-11T17:58:48.015346Z",
     "shell.execute_reply": "2024-06-11T17:58:48.014558Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:23 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'optical_hybrid_lo_input'</span> with task_id               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:23 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'optical_hybrid_lo_input'\u001b[0m with task_id               \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8e</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">ea-470d-bd06-36a796a1fb69'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=570203;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=813620;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=570203;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=264668;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=570203;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[32m-4a0b5965-8e\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=570203;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[32mea-470d-bd06-36a796a1fb69'\u001b[0m\u001b]8;;\u001b\\.                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4ab81edf82ed408ca2b3dfefa58037ae",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:27 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:27 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7de216276a6f401fb3a05b94a6343184",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:30 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:30 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:33 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.927</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to   \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>get the billed FlexCredit cost after a simulation run.            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:33 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.927\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to   \n",
       "\u001b[2;36m              \u001b[0mget the billed FlexCredit cost after a simulation run.            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:55:34 CEST </span>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:55:34 CEST\u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3fb20562c9a044bf98cc895fa4c9415d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:58:24 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">56</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:58:24 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m56\u001b[0m%, exiting.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:58:25 CEST </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:58:25 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dcbdfa7fa42e4f68ae3569fcd5be569b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:58:30 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:58:30 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8e</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">ea-470d-bd06-36a796a1fb69'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=549238;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=94796;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=549238;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=304876;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=549238;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[4;34m-4a0b5965-8e\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=549238;https://tidy3d.simulation.cloud/workbench?taskId=fdve-4a0b5965-8eea-470d-bd06-36a796a1fb69\u001b\\\u001b[4;34mea-470d-bd06-36a796a1fb69'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "aff12f2de1b5493cafcf7212cae62cb4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:58:47 CEST </span>loading simulation from data/simulation_data.hdf5                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:58:47 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/simulation_data.hdf5                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"optical_hybrid_lo_input\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b0921a6",
   "metadata": {},
   "source": [
    "Visualize the field intensity distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "07018789",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:58:53.453396Z",
     "iopub.status.busy": "2024-06-11T17:58:53.453057Z",
     "iopub.status.idle": "2024-06-11T17:58:57.300847Z",
     "shell.execute_reply": "2024-06-11T17:58:57.300144Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data.plot_field(field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", vmax=1500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b7eb83c",
   "metadata": {},
   "source": [
    "Besides the error in the relative phase, there are three additional figures of merit (FOM) the characterize the performance of the 90 degree optical hybrid: insertion loss, common mode rejection ratio (CMRR), and imbalance. We define a function to calculate those FOMs and plot the results.\n",
    "\n",
    "The insertion loss is calculated as $-10log_{10}(P_{tot})$, where $P_{tot}=P_{Ip}+P_{In}+P_{Qp}+P_{Qn}$ is the total power at four output ports.\n",
    "\n",
    "The CMRR is calculated as CMRR$_I=-20log_{10}(\\left|\\frac{P_{Ip}-P_{In}}{P_{Ip}+P_{In}}  \\right|)$ and CMRR$_Q=-20log_{10}(\\left|\\frac{P_{Qp}-P_{Qn}}{P_{Qp}+P_{Qn}}  \\right|)$.\n",
    "\n",
    "The imbalance is defined as Imbalance$_I = -10log_{10}(\\frac{P_{Ip}}{P_{In}})$ and Imbalance$_Q = -10log_{10}(\\frac{P_{Qp}}{P_{Qn}})$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "89763cfc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:58:57.303457Z",
     "iopub.status.busy": "2024-06-11T17:58:57.303200Z",
     "iopub.status.idle": "2024-06-11T17:58:57.339048Z",
     "shell.execute_reply": "2024-06-11T17:58:57.337976Z"
    }
   },
   "outputs": [],
   "source": [
    "def calculate_FOM(sim_data):\n",
    "    # compute power at the Ip port\n",
    "    P_Ip = np.abs(sim_data[\"port_Ip\"].amps.sel(direction=\"+\").values) ** 2\n",
    "    # compute power at the In port\n",
    "    P_In = np.abs(sim_data[\"port_In\"].amps.sel(direction=\"+\").values) ** 2\n",
    "    # compute power at the Qp port\n",
    "    P_Qp = np.abs(sim_data[\"port_Qp\"].amps.sel(direction=\"-\").values) ** 2\n",
    "    # compute power at the Qn port\n",
    "    P_Qn = np.abs(sim_data[\"port_Qn\"].amps.sel(direction=\"-\").values) ** 2\n",
    "\n",
    "    fig, ax = plt.subplots(3, 1, tight_layout=True, figsize=(6, 10))\n",
    "\n",
    "    # compute and plot insertion loss\n",
    "    loss = -10 * np.log10(P_Ip + P_In + P_Qp + P_Qn)\n",
    "    ax[0].plot(ldas, loss)\n",
    "    ax[0].set_xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "    ax[0].set_ylabel(\"Insertion loss (dB)\")\n",
    "    ax[0].set_ylim(0, 1)\n",
    "\n",
    "    # compute and plot CMRR\n",
    "    CMRR_I = -20 * np.log10(np.abs((P_Ip - P_In) / (P_Ip + P_In)))\n",
    "    CMRR_Q = -20 * np.log10(np.abs((P_Qp - P_Qn) / (P_Qp + P_Qn)))\n",
    "    ax[1].plot(ldas, CMRR_I, label=\"CMRR$_I$\")\n",
    "    ax[1].plot(ldas, CMRR_Q, label=\"CMRR$_Q$\")\n",
    "    ax[1].set_xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "    ax[1].set_ylabel(\"CMRR (dB)\")\n",
    "    ax[1].set_ylim(25, 45)\n",
    "    ax[1].legend()\n",
    "\n",
    "    # compute and plot imbalance\n",
    "    Imbalance_I = -10 * np.log10(P_Ip / P_In)\n",
    "    Imbalance_Q = -10 * np.log10(P_Qp / P_Qn)\n",
    "    ax[2].plot(ldas, Imbalance_I, label=\"Imbalance$_I$\")\n",
    "    ax[2].plot(ldas, Imbalance_Q, label=\"Imbalance$_Q$\")\n",
    "    ax[2].set_xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "    ax[2].set_ylabel(\"Imbalance (dB)\")\n",
    "    ax[2].set_ylim(-0.5, 0.5)\n",
    "    ax[2].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf88df32",
   "metadata": {},
   "source": [
    "Calculate those FOMs and plot the results. Due to symmetry, CMRR$_I$ and CMRR$_Q$ are identical. So is Imbalance$_I$ and Imbalance$_Q$. \n",
    "\n",
    "Overall, we see that the design has a good performance. The insertion loss is about 0.3 dB while the CMRRs are above 30 dB and the Imbalances are around 0.1 dB."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "d6d31259",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:58:57.343346Z",
     "iopub.status.busy": "2024-06-11T17:58:57.342503Z",
     "iopub.status.idle": "2024-06-11T17:58:58.070061Z",
     "shell.execute_reply": "2024-06-11T17:58:58.069470Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5TURERE1bg3lO0yeffIJNmzbJn2fMmIGAgADcfvvtOHPmjLt3T0RERFQr3B6a3njjDXh6egIAdu3ahaVLl2LhwoUICQnBtGnT3L17IiIiolrh9jlNOTk58oTvr7/+GqNHj8YTTzyBPn36YMCAAe7ePREREVGtcPtIk4+PDy5evAgA+P777zF48GAAgIeHB4qLi929eyIiIqJa4faRpsGDB+Oxxx5D165d8ccff+Duu+8GABw+fBitW7d29+6JiIiIaoXbR5qWLl2KhIQE/PXXX/jqq68QHBwMAMjIyMBDDz3k7t0TERER1Qo+cuA6+MgBIiKipk3p33q3354DgPz8fKxatQq///47AOC2227DxIkT4e/vXxe7JyIiIrphbr89t2fPHrRt2xbvvvsuLl26hEuXLuGdd95B27ZtsXfvXnfvnoiIiKhWuP323B133IF27dph5cqV0GgcA1ulpaV47LHHcPLkSfz444/u3P0N4+05IiKipk3p33q3hyZPT0/s27cPMTExLuVHjhxBjx49UFRU5M7d3zCGJiIioqatwfyMip+fH7KzsyuU5+TkwNfX1927JyIiIqoVbg9NY8aMwaRJk/D5558jJycHOTk5WLduHR577DE+coCIiIgaDbd/e+6f//wnJEnC+PHjUVpaCgDQarV46qmnsGDBAnfvnoiIiKhW1NlzmoqKinDixAkAQNu2beHl5VUXu71hnNNERETUtDWo5zQBgJeXFzp16lRXuyMiIiKqVW4JTffdd5/iuhs2bHBHF4iIiIhqlVtCE5/0TURERE2NW0LTxx9/7I5miYiIiOqN2x85QERERNQUMDQRERERKcDQRERERKQAQxMRERGRAgxNRERERArUycMtU1NTkZqaivPnz8Nut7us++ijj+qiC0REREQ3xO2had68eXj11VfRo0cPREREQJIkd++SiIiIqNa5PTQtX74cq1evxt///nd374qIiIjIbdw+p8lqteL22293926IiIiI3Mrtoemxxx7D2rVr3b0bIiIiIrdy++05s9mMFStW4IcffkBcXBy0Wq3L+nfeecfdXSAiIiK6YW4PTQcOHECXLl0AAIcOHXJZx0nhRERE1Fi4PTRt377d3bsgIiIicrs6fbjl//73P/zvf/+ry10SERER1Qq3hya73Y5XX30V/v7+aNWqFVq1aoWAgAC89tprFR50SURERNRQuf323Msvv4xVq1ZhwYIF6NOnDwDgp59+wiuvvAKz2YzXX3/d3V0gIiIiumGSEEK4cweRkZFYvnw57r33Xpfy//u//8PTTz+NP//80527v2FGoxH+/v4wGAzw8/Or7+4QERFRLVP6t97tt+cuXbqEmJiYCuUxMTG4dOmSu3dPREREVCvcHpo6d+6MJUuWVChfsmQJOnfu7O7dExEREdUKt89pWrhwIYYNG4YffvgBCQkJAIBdu3YhJycH3333nbt3T0RERFQr3D7S1L9/f/zxxx8YNWoU8vPzkZ+fj/vuuw9ZWVm444473L17IiIiolrh9ongjR0nghMRETVt9ToR/MCBA/IzmA4cOHDNpbqWLl2K1q1bw8PDA/Hx8fjtt98Ubbdu3TpIkoSRI0dWe59EREREbpnT1KVLF+Tm5iI0NBRdunSBJEmobEBLkiTYbDbF7X7++eeYPn06li9fjvj4eCxatAhJSUnIyspCaGholdudPn0azz//PG8HEhERUY255fbcmTNn0LJlS0iShDNnzlyzbqtWrRS3Gx8fj549e8rfxrPb7YiKisKUKVPw4osvVrqNzWZDv379MHHiROzcuRP5+fn4+uuvFe+Tt+eIiIiatnq9PdeqVStIkgTAEaCaN28u/4SKc2nevPl1A1V5VqsVGRkZSExMlMtUKhUSExOxa9euKrd79dVXERoaikmTJinaj8VigdFodFmIiIiI3P7tuYEDB1b6EEuDwYCBAwcqbufChQuw2WwICwtzKQ8LC0Nubm6l2/z0009YtWoVVq5cqXg/KSkp8Pf3l5eoqCjF2xIREVHT5fbQJISQR53Ku3jxIry9vd2234KCAvz973/HypUrERISoni75ORkGAwGecnJyXFbH4mIiKjxcNvDLe+77z4AjsnejzzyCPR6vbzOZrPhwIEDuP322xW3FxISArVajby8PJfyvLw8hIeHV6h/4sQJnD59GsOHD5fLnN/o02g0yMrKQtu2bStsp9frXfpKREREBLgxNPn7+wNwjDT5+vrC09NTXqfT6dC7d288/vjjitvT6XTo3r07UlNT5ccG2O12pKam4plnnqlQPyYmBgcPHnQpmzVrFgoKCvDee+/xthsRERFVi9tC08cffyw/ZuBf//oXfHx8brjN6dOnY8KECejRowd69eqFRYsWwWQy4dFHHwUAjB8/Hs2bN0dKSgo8PDwQGxvrsn1AQAAAVCgnIiIiuh63/vacEAJr1qzBSy+9hPbt299we2PGjMFff/2FOXPmIDc3F126dMGWLVvkyeHZ2dlQqdw+TYuIiIhuQm7/GZXbbrsNq1atQu/evd25G7fhc5qIiIiatnp9TlN5CxYswAsvvIBDhw65e1dEREREbuP2kabAwEAUFRWhtLQUOp3OZUI4gEqf4dSQcKSJiIioaVP6t96tc5oAYNGiRe7eBREREZHbuT00TZgwwd27ICIiInK7Ovmq2YkTJzBr1iw89NBDOH/+PABg8+bNOHz4cF3snoiIiOiGuT007dixA506dUJ6ejo2bNiAwsJCAMD+/fsxd+5cd++eiIiIqFa4PTS9+OKLmD9/PrZt2wadTieX33nnnfj111/dvXsiIiKiWuH20HTw4EGMGjWqQnloaCguXLjg7t0TERER1Qq3h6aAgACcO3euQvm+ffvQvHlzd++eiIiIqFa4PTQ9+OCDmDlzJnJzcyFJEux2O37++Wc8//zzGD9+vLt3T0RERFQr3B6a3njjDcTExCAqKgqFhYXo2LEj+vXrh9tvvx2zZs1y9+6JiIiIaoXbnwjulJOTg4MHD6KwsBBdu3atlR/wrQt8IjgREVHT1mCeCO4UFRWFqKgo2Gw2HDx4EJcvX0ZgYGBd7Z6IiIjohrj99txzzz2HVatWAQBsNhv69++Pbt26ISoqCmlpae7ePREREVGtcHto+vLLL9G5c2cAwLfffouTJ0/i6NGjmDZtGl5++WV3756IiIioVrg9NF24cAHh4eEAgO+++w4PPPAAbrnlFkycOBEHDx509+6JiIiIaoXbQ1NYWBiOHDkCm82GLVu2YPDgwQCAoqIiqNVqd++eiIiIqFa4fSL4o48+igceeAARERGQJAmJiYkAgPT0dMTExLh790RERES1wu2h6ZVXXkFsbCxycnJw//33Q6/XAwDUajVefPFFd++eiIiIGglLqQ2XTSW4XGTFZZMVl4sc7/OLHO+tpXa8NjK23vpXZ89paqz4nCYiIqLqM5fYysKPI/hcMjnCzyVnKJLLSuR1Jqvtmm2qJOD463dDpZJqta8N6jlNqampSE1Nxfnz52G3213WffTRR3XRBSIiIqoh5wiQHHzKRoKuDkDOkHTJZEVxybUDUFXUKgmBXloEeOlcXgO9dAjw0sEmBFSo3dCklNtD07x58/Dqq6+iR48e8rwmIiIiqh+lNjvyi0tw2WTFRVNZ+LkqBDkD0KWy9dcbAaqKRiUhwEuLIG9H4Any0iHQ2xGCgrx1CPTSla27UsdXr6n1kaTa4vbQtHz5cqxevRp///vf3b0rIiKim4oQAoWWUsfoTlnwKR+ELhWWD0SO94biEtRkYo5zBCiwXPBxhh7n4lwX5KVDgLcWvnpNkxoscXtoslqtuP322929GyIiokbPWmpHftFVwcfkulwusuJi4ZVbYVab/foNV8I5uhNUdtsr2Lss8HiXBSMvHYJ8rowONeQRoLri9tD02GOPYe3atZg9e7a7d0VERNRgCCFQZLXhUtnozyWTRQ47F02OUaDL5QLSRZMVBebSGu1Lr1GVCz1XFmdZcLlbYYHeOgR4aqFRu/1RjU2O20OT2WzGihUr8MMPPyAuLg5ardZl/TvvvOPuLhAREd0w51yg8qM+zvBzyWRxhB/nt8PKRomspdUfBVJJcMz/uSr4BJUrcwahAC8tgr318NTxYdF1we2h6cCBA+jSpQsA4NChQy7rmtJ9TiIiajyEEDBZbVfm+pRfrp4bdINzgTy0KgR7613CTlBVi5cO/p7am/42WEPl9tC0fft2d++CiIhucpZSm/y8n8q+DVb+FtiNjAIBrnOBgrx1CPZxjgjpXSdFl9XhKFDTUSfPaSIiIlKqxGYvewq0awiqEIqKSnDJZMFlUwkKLTWfC3T1aE9gJbfGnK+cC3Rzc1touu+++xTV27Bhg7u6QERE9UgIgeISm+OnMMqe/Fz+JzGcD0p0/lTG5SIr8k0lKKhhAFJJcJns7PjWl7ZCECq/eGrVnCpCirktNPn7+7uraSIiqmOWUhsMRSXyQxHzi0tgkMNOCQzFV34uw1B8pbymt8Cck6EDvLTyV+KDvLVlzwdyfk1ei2CfK4HIz4Nzgci93BaaPv74Y3c1TURENWCzCxSYS2AoLkF+keP16iW/LPSUX59fVFLjn8QAAK1aqvCTGM6nPzvLrn5SNAMQNUSc00RE1Eg4n/tjNJfAWFyKAnOJ/N5QXAJjseOz432pSxgyFtf8tpeTPPrjqYW/lxYBno6HIPrLvwvm+jth/p6OkSFvHW+BUdPA0EREVAdKbXaYLDYUWByTlgvNpSiwlKLA7Ag/heYr7wvMpTCWe19gKXs1l8Jmr8F33q/ipVPD31PrsgR4OV918CsrC/TSIsBTJ9fx9eAToenmxtBERFSJUpsdRSU2FFlsKLKWoshqQ6GlFEXWUhRabCiylKLQUgqTxQaTtRQmi2MpLLeYLDYUmB3lN3J762oalQQ/Ty38PDRlr1r4eWrg5+EIN37OpWx9+XDk56GFTsNvfxHVBEMTETU6druAudQGc4kd5hIbiktsMJeU+2y9UlZc7rPzfZHV+Voql5nKlZmsthpPYL4enUYFPw8NfPQa+Hho4KvXOl49NPDVa+Dr4RjRufLqeF8+IHloVbzdRVQPGJrqyR95BZj62T6oJAkateR4VUlQqSSoJQkqFaCSHOVq1ZX16nKLYx2gVqkcr5J05X25Mkly3ebKfhy/Wn1ln1JZG46l/P5Uzv1JElQSHHUr6ZdGflVBpcKV/kqSy76u9N/RHv8ANCxCCNjsAqXOxWZHiU2g1G5Hqe1KmdXm/OxYX2Kzo8Rmh7W0/HvHq6XUUcdS6ggk1lLH9s73FpsdlhJnmQ2WUjvMJXZYSm2wlHs1l9pQYrvxW1RKqVUSvHRqeOnU8NY7wo63TgNvveOzl04DH7267NURhLz1jgDkrO9bFpK89RqO8hA1YgxN9cRkKcXR3IL67kaDoZLKQmJZiFKXBUbn56vXSVcFS6msjrrsvTOUXd0eHP8Hx9sr2zlfnQFOrlPuPXBlG+f2ZYXljqPctuWOz/knXojy74X8HgIQEI71wlkkyr131LeLK6924VhvF6JscYzA2IWArey9zfnZLmATwlEmBGy2steyUGS7aimthXkzdUWnVkGvVcFDq4Zn2eKhU8OzrMxLp3ZZ56lzLF5aR9Dx0Knh7SzTaeT33joNvPRq6NQc1SEiB4ametI21AdrHotHqd3xh6z8H64rfwQF7HbIf/CcdUts9rI/hLjyB7Fsu6vbc66/Ug8V/4i6/GFF2fb2KyMNtit/lEUlf4DL99FWNgLh3NbZp+v9XpMzBKAR/bG+GWnVjlFEjcoxQqpVq6BVq6BRO0YZtWoVdBoVdOXK9RpHmbOuc71eq4Le+bmsTKdRQ6dRQa9xBB592Xu9Vg0PrQp6jdplnYdWDTUnJhNRHWFoqid+Hlr0aRdS392oM+XDlhzy7HCErrIAZheQw5gQlawrFyhtdiGPvgh5HVzWO0OnS+Arq+/c1tE31zqibNTHLq6sA8pGiIRzv5UfowDkdqoiXTUa5RzFkMoPXFUywuUccXOOljlH08qPlqmlcrdSVY62NeVvv5a7jeq8Ney8XVr+lqpGpXIEJHVZQCrbjiMuRHQzY2iiOiGV/YHmBUdERI1Vo5uRuHTpUrRu3RoeHh6Ij4/Hb7/9VmXdlStX4o477kBgYCACAwORmJh4zfpEREREVWlUoenzzz/H9OnTMXfuXOzduxedO3dGUlISzp8/X2n9tLQ0PPTQQ9i+fTt27dqFqKgoDBkyBH/++Wcd95yIiIgaO0lca/JFAxMfH4+ePXtiyZIlAAC73Y6oqChMmTIFL7744nW3t9lsCAwMxJIlSzB+/HhF+zQajfD394fBYICfn98N9Z+IiIgaHqV/6xvNSJPVakVGRgYSExPlMpVKhcTEROzatUtRG0VFRSgpKUFQUFCVdSwWC4xGo8tCRERE1GhC04ULF2Cz2RAWFuZSHhYWhtzcXEVtzJw5E5GRkS7B62opKSnw9/eXl6ioqBvqNxERETUNjSY03agFCxZg3bp12LhxIzw8PKqsl5ycDIPBIC85OTl12EsiIiJqqBrNN8BDQkKgVquRl5fnUp6Xl4fw8PBrbvvPf/4TCxYswA8//IC4uLhr1tXr9dDr9TfcXyIiImpaGs1Ik06nQ/fu3ZGamiqX2e12pKamIiEhocrtFi5ciNdeew1btmxBjx496qKrRERE1AQ1mpEmAJg+fTomTJiAHj16oFevXli0aBFMJhMeffRRAMD48ePRvHlzpKSkAADefPNNzJkzB2vXrkXr1q3luU8+Pj7w8fGpt+MgIiKixqdRhaYxY8bgr7/+wpw5c5Cbm4suXbpgy5Yt8uTw7OxsqFRXBs+WLVsGq9WKv/3tby7tzJ07F6+88kpddp2IiIgauUb1nKb6wOc0ERERNW1N7jlNRERERPWJoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEiBRheali5ditatW8PDwwPx8fH47bffrll//fr1iImJgYeHBzp16oTvvvuujnpKRERETUmjCk2ff/45pk+fjrlz52Lv3r3o3LkzkpKScP78+Urr//LLL3jooYcwadIk7Nu3DyNHjsTIkSNx6NChOu45ERERNXaSEELUdyeUio+PR8+ePbFkyRIAgN1uR1RUFKZMmYIXX3yxQv0xY8bAZDLhP//5j1zWu3dvdOnSBcuXL690HxaLBRaLRf5sMBjQsmVL5OTkwM/Pr5aPiIiIiOqb0WhEVFQU8vPz4e/vX2U9TR326YZYrVZkZGQgOTlZLlOpVEhMTMSuXbsq3WbXrl2YPn26S1lSUhK+/vrrKveTkpKCefPmVSiPioqqWceJiIioUSgoKGgaoenChQuw2WwICwtzKQ8LC8PRo0cr3SY3N7fS+rm5uVXuJzk52SVo2e12XLp0CcHBwZAk6QaOoCJnsuUolnI8Z9XHc1Y9PF/Vx3NWfTxn1efOcyaEQEFBASIjI69Zr9GEprqi1+uh1+tdygICAty6Tz8/P/6jqSaes+rjOasenq/q4zmrPp6z6nPXObvWCJNTo5kIHhISArVajby8PJfyvLw8hIeHV7pNeHh4teoTERERVaXRhCadTofu3bsjNTVVLrPb7UhNTUVCQkKl2yQkJLjUB4Bt27ZVWZ+IiIioKo3q9tz06dMxYcIE9OjRA7169cKiRYtgMpnw6KOPAgDGjx+P5s2bIyUlBQDw7LPPon///nj77bcxbNgwrFu3Dnv27MGKFSvq8zBker0ec+fOrXA7kKrGc1Z9PGfVw/NVfTxn1cdzVn0N4Zw1qkcOAMCSJUvw1ltvITc3F126dMHixYsRHx8PABgwYABat26N1atXy/XXr1+PWbNm4fTp02jfvj0WLlyIu+++u556T0RERI1VowtNRERERPWh0cxpIiIiIqpPDE1ERERECjA0ERERESnA0ERERESkAENTDf34448YPnw4IiMjIUnSNX/PDgDS0tIgSVKFpfxPuixbtgxxcXHy004TEhKwefNml3bMZjMmT56M4OBg+Pj4YPTo0RUe4NkQ1df5GjBgQIU2nnzySXccYq1zxzkrb8GCBZAkCc8995xLeWO9xoD6O2e8zlzP2SuvvFJhfUxMjEs7vM6qf854nVX8t/nnn39i3LhxCA4OhqenJzp16oQ9e/bI64UQmDNnDiIiIuDp6YnExEQcO3asxsfB0FRDJpMJnTt3xtKlS6u1XVZWFs6dOycvoaGh8roWLVpgwYIFyMjIwJ49e3DnnXdixIgROHz4sFxn2rRp+Pbbb7F+/Xrs2LEDZ8+exX333Vdrx+Uu9XW+AODxxx93aWPhwoW1ckzu5o5z5rR792588MEHiIuLq7CusV5jQP2dM4DX2dXn7LbbbnNZ/9NPP7ms53VW/XMG8Dorf84uX76MPn36QKvVYvPmzThy5AjefvttBAYGynUWLlyIxYsXY/ny5UhPT4e3tzeSkpJgNptrdiCCbhgAsXHjxmvW2b59uwAgLl++XK22AwMDxYcffiiEECI/P19otVqxfv16ef3vv/8uAIhdu3ZVt9v1pq7OlxBC9O/fXzz77LPV72QDU5vnrKCgQLRv315s27atwvlpKteYEHV3zoTgdXa1uXPnis6dO1e5ntdZRdc7Z0LwOrvazJkzRd++fatcb7fbRXh4uHjrrbfksvz8fKHX68Vnn31W3W4LIYTgSFMd69KlCyIiIjB48GD8/PPPVdaz2WxYt24dTCaT/LMvGRkZKCkpQWJiolwvJiYGLVu2xK5du9ze9/pwI+fLac2aNQgJCUFsbCySk5NRVFTk7m7Xq+uds8mTJ2PYsGEu15HTzXiNATd2zpx4nbk6duwYIiMj0aZNG4wdOxbZ2dnyOl5n1T9nTrzOrvjmm2/Qo0cP3H///QgNDUXXrl2xcuVKef2pU6eQm5vrcp35+/sjPj6+xtdZo/oZlcYsIiICy5cvR48ePWCxWPDhhx9iwIABSE9PR7du3eR6Bw8eREJCAsxmM3x8fLBx40Z07NgRAJCbmwudToeAgACXtsPCwqqcg9FY1cb5AoCHH34YrVq1QmRkJA4cOICZM2ciKysLGzZsqI/Dcisl52zdunXYu3cvdu/eXWkbN9M1BtTOOQN4nV19zuLj47F69Wp06NAB586dw7x583DHHXfg0KFD8PX15XVWg3MG8Dq7+pydPHkSy5Ytw/Tp0/HSSy9h9+7dmDp1KnQ6HSZMmCBfS2FhYS5t39B1VqPxKXIBBUONlenXr58YN26cS5nFYhHHjh0Te/bsES+++KIICQkRhw8fFkIIsWbNGqHT6Sq007NnTzFjxowa9b0+1NX5qkxqaqoAII4fP17t/den2jhn2dnZIjQ0VOzfv19ef/Vwf1O5xoSou3NWmZv5OqvM5cuXhZ+fn3zrnNdZ9c9ZZW7260yr1YqEhASXOlOmTBG9e/cWQgjx888/CwDi7NmzLnXuv/9+8cADD1S/44K35+pVr169cPz4cZcynU6Hdu3aoXv37khJSUHnzp3x3nvvAQDCw8NhtVqRn5/vsk1eXh7Cw8Prqtv1prrnqzLO3ym8up2mqvw5y8jIwPnz59GtWzdoNBpoNBrs2LEDixcvhkajgc1mu+mvMaD656wyN/N1VpmAgADccsstch1eZ9U/Z5W52a+ziIgIlzsLAHDrrbfKtzWd19LV38q8keuMoakeZWZmIiIi4pp17HY7LBYLAKB79+7QarVITU2V12dlZSE7O7vCPJ6mqLrnq6o2AFy3naai/DkbNGgQDh48iMzMTHnp0aMHxo4di8zMTKjV6pv+GgOqf86qagO4Oa+zyhQWFuLEiRNyHV5n1T9nVbUB3LzXWZ8+fZCVleVS548//kCrVq0AANHR0QgPD3e5zoxGI9LT02t8nXFOUw0VFha6JN5Tp04hMzMTQUFBaNmyJZKTk/Hnn3/i008/BQAsWrQI0dHRuO2222A2m/Hhhx/iv//9L77//nu5jeTkZNx1111o2bIlCgoKsHbtWqSlpWHr1q0AHBPYJk2ahOnTpyMoKAh+fn6YMmUKEhIS0Lt377o9AdVUH+frxIkTWLt2Le6++24EBwfjwIEDmDZtGvr161fl18Ybkto+Z76+voiNjXXZh7e3N4KDg+XyxnyNAfVzznidVfy3+fzzz2P48OFo1aoVzp49i7lz50KtVuOhhx4CwOusJueM11nFczZt2jTcfvvteOONN/DAAw/gt99+w4oVK7BixQoAkJ+pNn/+fLRv3x7R0dGYPXs2IiMjMXLkyJodSI1u6pH8dcirlwkTJgghhJgwYYLo37+/XP/NN98Ubdu2FR4eHiIoKEgMGDBA/Pe//3Vpc+LEiaJVq1ZCp9OJZs2aiUGDBonvv//epU5xcbF4+umnRWBgoPDy8hKjRo0S586dc/fh3rD6OF/Z2dmiX79+IigoSOj1etGuXTvxwgsvCIPBUBeHfMPccc6uVtn8nMZ6jQlRP+eM11nFczZmzBgREREhdDqdaN68uRgzZkyFeTe8zqp3znidVf5v89tvvxWxsbFCr9eLmJgYsWLFCpf1drtdzJ49W4SFhQm9Xi8GDRoksrKyanwckhBC1CxuEREREd08OKeJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiavQGDBiA5557rr67Iatpfy5evIjQ0FCcPn261vt0tQcffBBvv/222/dD1JQwNBGRIsuXL4evry9KS0vlssLCQmi1WgwYMMClblpaGiRJwokTJ+q4l3WrtsPa66+/jhEjRqB169a11mZVZs2ahddffx0Gg8Ht+yJqKhiaiEiRgQMHorCwEHv27JHLdu7cifDwcKSnp8NsNsvl27dvR8uWLdG2bdv66GqjVFRUhFWrVmHSpEl1sr/Y2Fi0bdsW//73v+tkf0RNAUMTESnSoUMHREREIC0tTS5LS0vDiBEjEB0djV9//dWlfODAgQCALVu2oG/fvggICEBwcDDuuecelxGoFStWIDIyEna73WV/I0aMwMSJEwEAdrsdKSkpiI6OhqenJzp37owvv/yyyr4qqT9gwABMnToVM2bMQFBQEMLDw/HKK6+41CkoKMDYsWPh7e2NiIgIvPvuu/Lo0iOPPIIdO3bgvffegyRJkCTJ5baa3W6/ZttX++6776DX69G7d2+X8p9++glardYllJ4+fRqSJOHMmTPy+6+++gr9+vWDp6cnevbsiezsbOzcuRO9e/eGl5cXBg0ahPz8fJe2hw8fjnXr1l2zX0R0BUMTESk2cOBAbN++Xf68fft2DBgwAP3795fLi4uLkZ6eLocmk8mE6dOnY8+ePUhNTYVKpcKoUaPkkHT//ffj4sWLLu1eunQJW7ZswdixYwEAKSkp+PTTT7F8+XIcPnwY06ZNw7hx47Bjx45K+6m0/ieffAJvb2+kp6dj4cKFePXVV7Ft2zZ5/fTp0/Hzzz/jm2++wbZt27Bz507s3bsXAPDee+8hISEBjz/+OM6dO4dz584hKipKcdtX27lzJ7p3716hPDMzE7feeis8PDzksn379iEwMBCtWrXC/v37AQDLli3DG2+8gV9++QV5eXkYN24cFixYgCVLlmD79u3Yv38/Pv74Y5e2e/Xqhd9++w0Wi6XKfhFROYKISKGVK1cKb29vUVJSIoxGo9BoNOL8+fNi7dq1ol+/fkIIIVJTUwUAcebMmUrb+OuvvwQAcfDgQblsxIgRYuLEifLnDz74QERGRgqbzSbMZrPw8vISv/zyi0s7kyZNEg899JAQQoj+/fuLZ599VgghFNV3btO3b1+XOj179hQzZ84UQghhNBqFVqsV69evl9fn5+cLLy8veV/l91ve9dquzNXnwOmxxx4T48ePdymbM2eOGDBggBBCiFdeeUUEBQWJCxcuyOvHjRsnWrduLUwmk1w2dOhQMWPGDJd29u/fLwCI06dPV9kvIrqCI01EpNiAAQNgMpmwe/du7Ny5E7fccguaNWuG/v37y/Oa0tLS0KZNG7Rs2RIAcOzYMTz00ENo06YN/Pz85EnO2dnZcrtjx47FV199JY94rFmzBg8++CBUKhWOHz+OoqIiDB48GD4+PvLy6aefVjrRvDr14+LiXD5HRETg/PnzAICTJ0+ipKQEvXr1ktf7+/ujQ4cOis7VtdquTHFxsctoklNmZia6dOniUrZv3z65bP/+/Rg1ahSCg4Pl9dnZ2RgzZgy8vLxcyqKjo13a8fT0BOCYT0VE16ep7w4QUePRrl07tGjRAtu3b8fly5fRv39/AEBkZCSioqLwyy+/YPv27bjzzjvlbYYPH45WrVph5cqV8tyl2NhYWK1WlzpCCGzatAk9e/bEzp078e677wJwfEMPADZt2oTmzZu79Eev11foY3Xqa7Val8+SJFWYW1VT1W07JCQEly9fdimz2Ww4dOgQunbt6lK+d+9ejB49GoAjVCUnJ7us379/P6ZNmyZ/NpvNyMrKQufOnV3qXbp0CQDQrFkzhUdFdHNjaCKiahk4cCDS0tJw+fJlvPDCC3J5v379sHnzZvz222946qmnADieO5SVlYWVK1fijjvuAOCY2Hw1Dw8P3HfffVizZg2OHz+ODh06oFu3bgCAjh07Qq/XIzs7Ww5p11Ld+lVp06YNtFotdu/eLY+aGQwG/PHHH+jXrx8AQKfTwWaz1Xgf5XXt2rXCN9mysrJgNpsRGRkpl+3atQt//vknunTpAqPRiNOnT7uEqlOnTsFgMLiUHTx4EEIIdOrUyaX9Q4cOoUWLFggJCamVYyBq6hiaiKhaBg4ciMmTJ6OkpMQllPTv3x/PPPMMrFarPAk8MDAQwcHBWLFiBSIiIpCdnY0XX3yx0nbHjh2Le+65B4cPH8a4cePkcl9fXzz//POYNm0a7HY7+vbtC4PBgJ9//hl+fn6YMGGCSzvVrV8VX19fTJgwAS+88AKCgoIQGhqKuXPnQqVSQZIkAEDr1q2Rnp6O06dPw8fHB0FBQVCpajbrISkpCcnJybh8+TICAwMBOEaRAOBf//oXpk6diuPHj2Pq1KkAAKvViv3790OtViM2NlZuJzMzE0FBQWjVqpVLWdu2beHj4+Oyz507d2LIkCE16i/RzYhzmoioWgYOHIji4mK0a9cOYWFhcnn//v1RUFAgP5oAAFQqFdatW4eMjAzExsZi2rRpeOuttypt984770RQUBCysrLw8MMPu6x77bXXMHv2bKSkpODWW2/F0KFDsWnTpgpzdGpavyrvvPMOEhIScM899yAxMRF9+vRx+Sbb888/D7VajY4dO6JZs2Yu87Sqq1OnTujWrRu++OILuSwzMxNJSUk4efIkOnXqhJdffhnz5s2Dn58fFi9ejP3796NDhw4uc6H2799f4Xbe/v37K9yaM5vN+Prrr/H444/XuM9ENxtJCCHquxNERI2ByWRC8+bN8fbbb7vlIZSbNm3CCy+8gEOHDkGlUiEpKQk9e/bE/Pnza31fy5Ytw8aNG/H999/XettETRVvzxERVWHfvn04evQoevXqBYPBgFdffRWA48Gb7jBs2DAcO3YMf/75J6KiorB//375AZ+1TavV4l//+pdb2iZqqjjSRERUhX379uGxxx5DVlYWdDodunfvjnfeeafChGp3yM3NRUREBA4fPoyOHTu6fX9EdH0MTUREREQKcCI4ERERkQIMTUREREQKMDQRERERKcDQRERERKQAQxMRERGRAgxNRERERAowNBEREREpwNBEREREpABDExEREZECDE1ERERECjA0ERERESnA0ERERESkAEMTERERkQIMTUREREQKMDQRERERKcDQRERERKQAQxMRERGRAg0yNC1YsACSJOG5556TywYMGABJklyWJ5988prtCCEwZ84cREREwNPTE4mJiTh27Jibe09ERERNUYMLTbt378YHH3yAuLi4Cusef/xxnDt3Tl4WLlx4zbYWLlyIxYsXY/ny5UhPT4e3tzeSkpJgNpvd1X0iIiJqohpUaCosLMTYsWOxcuVKBAYGVljv5eWF8PBwefHz86uyLSEEFi1ahFmzZmHEiBGIi4vDp59+irNnz+Lrr79241EQERFRU6Sp7w6UN3nyZAwbNgyJiYmYP39+hfVr1qzBv//9b4SHh2P48OGYPXs2vLy8Km3r1KlTyM3NRWJiolzm7++P+Ph47Nq1Cw8++GCl21ksFlgsFvmz3W7HpUuXEBwcDEmSbvAIiYiIqKERQqCgoACRkZFQqaoeT2owoWndunXYu3cvdu/eXen6hx9+GK1atUJkZCQOHDiAmTNnIisrCxs2bKi0fm5uLgAgLCzMpTwsLExeV5mUlBTMmzevhkdBREREjVVOTg5atGhR5foGEZpycnLw7LPPYtu2bfDw8Ki0zhNPPCG/79SpEyIiIjBo0CCcOHECbdu2rbW+JCcnY/r06fJng8GAli1bIicn55q3A4mIiKhxMhqNiIqKgq+v7zXrNYjQlJGRgfPnz6Nbt25ymc1mw48//oglS5bAYrFArVa7bBMfHw8AOH78eKWhKTw8HACQl5eHiIgIuTwvLw9dunSpsi96vR56vb5CuZ+fH0MTERFRE3a9aTgNYiL4oEGDcPDgQWRmZspLjx49MHbsWGRmZlYITACQmZkJAC6BqLzo6GiEh4cjNTVVLjMajUhPT0dCQoJbjoOIiIiargYx0uTr64vY2FiXMm9vbwQHByM2NhYnTpzA2rVrcffddyM4OBgHDhzAtGnT0K9fP5dHE8TExCAlJQWjRo2Sn/M0f/58tG/fHtHR0Zg9ezYiIyMxcuTIOj5CIiIiauwaRGi6Hp1Ohx9++AGLFi2CyWRCVFQURo8ejVmzZrnUy8rKgsFgkD/PmDEDJpMJTzzxBPLz89G3b19s2bKlynlTRERERFWRhBCivjvRkBmNRvj7+8NgMHBOExERVZvdbofVaq3vbtzUtFptpVN9nJT+rW8UI01ERESNkdVqxalTp2C32+u7Kze9gIAAhIeH39AzFxmaiIiI3EAIgXPnzkGtViMqKuqaD00k9xFCoKioCOfPnwdQ9RfIlGBoIiIicoPS0lIUFRUhMjKyyl+voLrh6ekJADh//jxCQ0OveavuWhh7iYiI3MBmswFwfJmJ6p8zuJaUlNS4DYYmIiIiN+LvljYMtfHfgaGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiogpyc3MxZcoUtGnTBnq9HlFRURg+fLj8m66PPPIIJEnCk08+WWHbyZMnQ5IkPPLII3KZs74kSdBqtYiOjsaMGTNgNptdtlVarz7wkQNERETk4vTp0+jTpw8CAgLw1ltvoVOnTigpKcHWrVsxefJkHD16FAAQFRWFdevW4d1335W/1m82m7F27Vq0bNmyQrtDhw7Fxx9/jJKSEmRkZGDChAmQJAlvvvlmjerVNYYmIiKiOiCEQHGJrV727alVV+vbY08//TQkScJvv/0Gb29vufy2227DxIkT5c/dunXDiRMnsGHDBowdOxYAsGHDBrRs2RLR0dEV2tXr9QgPDwfgCFyJiYnYtm1bhTCktF5dY2giIiKqA8UlNnScs7Ve9n3k1SR46ZT9yb906RK2bNmC119/3SUwOQUEBLh8njhxIj7++GM5NH300Ud49NFHkZaWds39HDp0CL/88gtatWpVK/XqAkMTERERyY4fPw4hBGJiYhTVHzduHJKTk3HmzBkAwM8//4x169ZVGpr+85//wMfHB6WlpbBYLFCpVFiyZEmN6r3zzju4cOEC3njjjeofZA0xNBEREdUBT60aR15Nqrd9KyWEqFbbzZo1w7Bhw7B69WoIITBs2DCEhIRUWnfgwIFYtmwZTCYT3n33XWg0GowePbpG9Q4dOoTExMRq9fVGMTQRERHVAUmSFN8iq0/t27eHJEnyZG8lJk6ciGeeeQYAsHTp0irreXt7o127dgAct/E6d+6MVatWYdKkSdWud+jQITz33HOK+1gb+MgBIiIikgUFBSEpKQlLly6FyWSqsD4/P79C2dChQ2G1WlFSUoKkJGWjaSqVCi+99BJmzZqF4uLiatUTQuDYsWOKbyHWFoYmIiIicrF06VLYbDb06tULX331FY4dO4bff/8dixcvRkJCQoX6arUav//+O44cOQK1WvmtwPvvvx9qtfqao1OV1Tt16hQiIiLq/MeQGZqIiIjIRZs2bbB3714MHDgQ//jHPxAbG4vBgwcjNTUVy5Ytq3QbPz8/+Pn5VWs/Go0GzzzzDBYuXFjpqFZV9Q4dOoTY2Nhq7as2SKK6M75uMkajEf7+/jAYDNW+GIiI6OZlNptx6tQpREdHw8PDo76706S88cYbKC0txZw5cxRvc63/Hkr/1nOkiYiIiBqV+hppavjT+ImIiIjKWbt2bb3slyNNRERERAo0yNC0YMECSJIkP3/h0qVLmDJlCjp06ABPT0+0bNkSU6dOhcFguGY75X8p2bkMHTq0Do6AiIiImpoGd3tu9+7d+OCDDxAXFyeXnT17FmfPnsU///lPdOzYEWfOnMGTTz6Js2fP4ssvv7xme85fSnbS6/Vu6zsRERE1XQ0qNBUWFmLs2LFYuXIl5s+fL5fHxsbiq6++kj+3bdsWr7/+OsaNG4fS0lJoNFUfRvlfSlbCYrHAYrHIn41GYzWPgoiIiJqiBnV7bvLkyRg2bJii35Jxfi3wWoEJANLS0hAaGooOHTrgqaeewsWLF69ZPyUlBf7+/vISFRVVrWMgIiKipqnBhKZ169Zh7969SElJuW7dCxcu4LXXXsMTTzxxzXpDhw7Fp59+itTUVLz55pvYsWMH7rrrLthstiq3SU5OhsFgkJecnJxqHwsRERE1PQ3i9lxOTg6effZZbNu27boPADMajRg2bBg6duyIV1555Zp1H3zwQfl9p06dEBcXh7Zt2yItLQ2DBg2qdBu9Xs95T0RERFRBgxhpysjIwPnz59GtWzdoNBpoNBrs2LEDixcvhkajkUeGCgoKMHToUPj6+mLjxo3QarXV2k+bNm0QEhKC48ePu+MwiIiIqAlrECNNgwYNwsGDB13KHn30UcTExGDmzJlQq9UwGo1ISkqCXq/HN998U6NH0v/vf//DxYsXERERUVtdJyIioptEgxhp8vX1RWxsrMvi7e2N4OBgxMbGwmg0YsiQITCZTFi1ahWMRiNyc3ORm5vrMj8pJiYGGzduBOD4Jt4LL7yAX3/9FadPn0ZqaipGjBiBdu3aISkpqb4OlYiIiBqpBjHSdD179+5Feno6AKBdu3Yu606dOoXWrVsDALKysuQHXqrVahw4cACffPIJ8vPzERkZiSFDhuC1117jnCUiIiKqtgYx0lSZtLQ0LFq0CAAwYMAACCEqXZyBCQCEEHjkkUcAAJ6enti6dSvOnz8Pq9WK06dPY8WKFQgLC6v7gyEiImpkcnNzMWXKFLRp0wZ6vR5RUVEYPnw4UlNTAVz51Y0nn3yywraTJ0+GJEny3+Ty9SVJglarRXR0NGbMmAGz2eyyrdJ69aFRjDQRERE1ekIAJUX1s2+tFyBJiqufPn0affr0QUBAAN566y106tQJJSUl2Lp1KyZPnoyjR48CAKKiorBu3Tq8++678PT0BACYzWasXbsWLVu2rNCu81c6SkpKkJGRgQkTJkCSJLz55ps1qlfXGJqIiIjqQkkR8EZk/ez7pbOAzltx9aeffhqSJOG3336Dt/eV7W677TZMnDhR/tytWzecOHECGzZswNixYwEAGzZsQMuWLREdHV2h3fK/0hEVFYXExERs27atQhhSWq+uNdjbc0RERFT3Ll26hC1btmDy5MkugckpICDA5fPEiRNdfuP1o48+wqOPPnrd/Rw6dAi//PILdDpdrdSrCxxpIiIiqgtaL8eIT33tW6Hjx49DCIGYmBhF9ceNG4fk5GScOXMGAPDzzz9j3bp1SEtLq1D3P//5D3x8fFBaWgqLxQKVSoUlS5bUuN6nn36K9957D6WlpfD19cWSJUvQpUsXxcdaXQxNREREdUGSqnWLrL4IIapVv1mzZhg2bBhWr14NIQSGDRuGkJCQSusOHDgQy5Ytg8lkwrvvvguNRoPRo0fXqN6KFSvwxRdf4IcffkBgYCDS0tJw33334ejRo24bleLtOSIiIpK1b98ekiTJk72VmDhxIlavXo1PPvnEZc7T1by9vdGuXTt07twZH330EdLT07Fq1apq1zMajZg/fz4+++wzBAYGAnB8097Pzw9HjhypxtFWD0MTERERyYKCgpCUlISlS5fCZDJVWJ+fn1+hbOjQobBarSgpKVH8AGmVSoWXXnoJs2bNQnFxcbXqff755+jXrx+aNWvmUlev16OoyH3fUGRoIiIiIhdLly6FzWZDr1698NVXX+HYsWP4/fffsXjxYiQkJFSor1ar8fvvv+PIkSNQq9WK93P//fdDrVZj6dKl1ap35MgRxMbGutSxWCw4duwY2rdvr3j/1cXQRERERC7atGmDvXv3YuDAgfjHP/6B2NhYDB48GKmpqVi2bFml2/j5+cHPz69a+9FoNHjmmWewcOHCSke1qqrn5+cHq9XqUueLL75Anz59Kow+1SZJVHfG103GaDTC398fBoOh2hcDERHdvMxmM06dOoXo6Oga/cg8Ve3XX3/Fo48+il27diEgIAC7d+/GuHHj8N1336Ft27aVbnOt/x5K/9bz23NERETUqPTu3RvTpk1Dv379YDab4ePjg//7v/+rMjDVFt6eIyIiokbniSeewIEDB/Ddd9/BYrHUyd0gjjQRERFRo9WuXTscPny4TvbFkSYiIiIiBRiaiIiIiBRgaCIiInIjfkm9YaiN/w4MTURERG7gfMjj1c8TovrhfFK4VqutcRucCE5EROQGGo0GXl5e+Ouvv6DVaqFScZyiPgghUFRUhPPnzyMgIKBaTyy/GkMTERGRG0iShIiICJw6dQpnzpyp7+7c9AICAhAeHn5DbTA0ERERuYlOp0P79u15i66eabXaGxphcmJoIiIiciOVSsWfUWkiGuQN1gULFkCSJDz33HNymdlsxuTJkxEcHAwfHx+MHj0aeXl512xHCIE5c+YgIiICnp6eSExMxLFjx9zceyIiImqKGlxo2r17Nz744APExcW5lE+bNg3ffvst1q9fjx07duDs2bO47777rtnWwoULsXjxYixfvhzp6enw9vZGUlISzGazOw+BiIiImqAGFZoKCwsxduxYrFy5EoGBgXK5wWDAqlWr8M477+DOO+9E9+7d8fHHH+OXX37Br7/+WmlbQggsWrQIs2bNwogRIxAXF4dPP/0UZ8+exddff11HR0RERERNRYMKTZMnT8awYcOQmJjoUp6RkYGSkhKX8piYGLRs2RK7du2qtK1Tp04hNzfXZRt/f3/Ex8dXuQ0AWCwWGI1Gl4WIiIiowUwEX7duHfbu3Yvdu3dXWJebmwudToeAgACX8rCwMOTm5lbanrM8LCxM8TYAkJKSgnnz5lWz90RERNTUNYiRppycHDz77LNYs2ZNvX/DIDk5GQaDQV5ycnLqtT9ERETUMDSI0JSRkYHz58+jW7du0Gg00Gg02LFjBxYvXgyNRoOwsDBYrVbk5+e7bJeXl1flg6qc5Vd/w+5a2wCAXq+Hn5+fy0JERETUIELToEGDcPDgQWRmZspLjx49MHbsWPm9VqtFamqqvE1WVhays7ORkJBQaZvR0dEIDw932cZoNCI9Pb3KbYiIiIiq0iDmNPn6+iI2NtalzNvbG8HBwXL5pEmTMH36dAQFBcHPzw9TpkxBQkICevfuLW8TExODlJQUjBo1Sn7O0/z589G+fXtER0dj9uzZiIyMxMiRI+vy8IiIiKgJaBChSYl3330XKpUKo0ePhsViQVJSEt5//32XOllZWTAYDPLnGTNmwGQy4YknnkB+fj769u2LLVu21Pu8KSIiImp8JCGEqO9ONGRGoxH+/v4wGAyc30RERNQEKf1b3yDmNBERERE1dAxNRERERAowNBEREREpwNBEREREpABDExEREZECDE1ERERECjA0ERERESnA0ERERESkAEMTERERkQIMTUREREQKMDQRERERKcDQRERERKQAQxMRERGRAgxNRERERAowNBEREREpwNBEREREpABDExEREZECDE1ERERECjA0ERERESnA0ERERESkAEMTERERkQIMTUREREQKNIjQtGzZMsTFxcHPzw9+fn5ISEjA5s2bAQCnT5+GJEmVLuvXr6+yzUceeaRC/aFDh9bVIREREVETo7mRjU+dOoWdO3fizJkzKCoqQrNmzdC1a1ckJCTAw8NDcTstWrTAggUL0L59ewgh8Mknn2DEiBHYt28fYmJicO7cOZf6K1aswFtvvYW77rrrmu0OHToUH3/8sfxZr9dX7wCJiIjIbex2gQJLKQxFJcgvtiK/qASG4hLkF5fA6FzMpSgwl6DAXAq7EPj/JsXXW39rFJrWrFmD9957D3v27EFYWBgiIyPh6emJS5cu4cSJE/Dw8MDYsWMxc+ZMtGrV6rrtDR8+3OXz66+/jmXLluHXX3/FbbfdhvDwcJf1GzduxAMPPAAfH59rtqvX6ytsS0RERLWv1GZHfnEJ8ousuFxUgssmRwi6XGTFpSIrLhVacclkxUWTFflFVuQXl6Cg2AJvUQw/yYQAFMJfMsEfJgRIJvjBBF+pGJEogo9UDF8UQw077PbtUKmkejnGaoemrl27QqfT4ZFHHsFXX32FqKgol/UWiwW7du3CunXr0KNHD7z//vu4//77Fbdvs9mwfv16mEwmJCQkVFifkZGBzMxMLF269LptpaWlITQ0FIGBgbjzzjsxf/58BAcHX3Mbi8UCi8UifzYajYr7TkRE1BQ4A9BlkyMAXSoLOhdNjuDjXC4XOZZ8UwlKLI7gEyCZECgVwB+O1wCYECwVoL1UgCAYESQVyAHJT2eCWhKK+yUgwS7sANTuO/hrkIQQynsLYOvWrUhKSlJU9+LFizh9+jS6d+9+3boHDx5EQkICzGYzfHx8sHbtWtx9990V6j399NNIS0vDkSNHrtneunXr4OXlhejoaJw4cQIvvfQSfHx8sGvXLqjVVZ/sV155BfPmzatQbjAY4Ofnd93jICIiamgspTZcNpXgoslyJfA4w09R2QhQoSMUXSwww2Y2IgAFCEQBAqVCBKAQgVIBAqUCBMH56igLKFvvIZXUvIMaT8AzAPAIADwDy977A3o/wMMP0Ps63ut9gdtGAaraDU1GoxH+/v7X/Vtf7dDkLlarFdnZ2TAYDPjyyy/x4YcfYseOHejYsaNcp7i4GBEREZg9ezb+8Y9/VKv9kydPom3btvjhhx8waNCgKutVNtIUFRVV66GpxGaHsbgEOo0Keo0aWrVjsjoREdH1mEtsFUZ8Lpa7/XWh0IKLhRZcNFlhKCyC1nIZwRVCT9mr5AhHwZJjFCgIRuil0hr1S6g0kDwDAc+gsvATCHgFlS3BZUvIlXXOoKRVPg/aHZSGphuaCF6eEALbt29HcXExbr/9dgQGBlZre51Oh3bt2gEAunfvjt27d+O9997DBx98INf58ssvUVRUhPHjx1e7f23atEFISAiOHz9+zdCk1+vrZMJ41v8uYtKyLbBACyu0sEALtUYLfVmI0mtU8NA63us0KmhUEtQqCRq1BI1KBS+dGt56DXz0Gnjr1fDSaeChVcNDq4KHRg29VgVPrRqeOsc6L53asY1OA2+9BjpNg/jiJBERASi22hxzf8rmAV0qsuJCgQUXCp2L1RGCCi0oLiqAZ0k+AnEl8ASVBaIIFCBWMiJYMiAYRoRIRvhJRUANMonQekPyCroSfDwDHYHHGX68gx3hyOtKQJJ0PkATHgCoUWjKz8/Hs88+i71796J37954++23cffdd+OXX34BAISGhuL7779HXFxcjTtmt9tdRnwAYNWqVbj33nvRrFmzarf3v//9DxcvXkRERESN+1SbVBeOIt3jGZcym5BgETpYSrQwl+hgKdLCDB2s0KAUasciHK9F8IAJHigUHjDBE4XCA5eggwWObcxChyLoUQw9ioQeRfBAkdCjEJ4wwQMqtQ7eekfw8tZp4KVXlwUrDbx1anjpNfDSOl599GoEeesR7K1DkLcOwT46+Og1UKskaNVXAh1HyoiIHIMIBZbSK7e/TK5zgRwjQo7bZBcLzCgtyodnqSMEBUiF8pyfEMmINpIBPWFAiGRwjAShAB6qEqCa/9teSCrAMwhS+cDjVW7xDAK8m5WVhwDeIZC0nu45QY1YjULT888/j127dmHChAn49ttvMXToUAghsGvXLqhUKsyYMQMvv/wyvv32W0XtJScn46677kLLli1RUFCAtWvXIi0tDVu3bpXrHD9+HD/++CO+++67StuIiYlBSkoKRo0ahcLCQsybNw+jR49GeHg4Tpw4gRkzZqBdu3aK52O5W8dQD8cwpv3KEKhaEvCCBV4oC4tuzCBmoUWhzRMmkweKTI4AViT0jtfy74UH8uCBI8IPF+GHi8IPF4Q/TPBAKdQogQZ2qCBJgI9OA18PDfw8tfD1cIyCyeFL5wxgjvX+nlr4ldUN8tIh0FsHPw8NgxcRNTg2uyj7RpjrLTDXQGTBxUIrjIUmoPgS/OxG+RZYkGREsGREIAoQV24ytLNMo7ZXe16zUOsdwcYryHX0xysI8A4pCz7NypYQSB4BgIp3GG5UjULT5s2bsXbtWvTv3x+PPPIIoqKi8N///hfx8Y5nJ7z55pu49957Fbd3/vx5jB8/HufOnYO/vz/i4uKwdetWDB48WK7z0UcfoUWLFhgyZEilbWRlZcFgMAAA1Go1Dhw4gE8++QT5+fmIjIzEkCFD8NprrzWcZzVF9YQ05yJgtwGlFqDUDNisjtdSC1BSXPbeDJRaAXsJYC8FbGWvVhNgKQCshYCl0PFaar6yXYkZKCly1HO+Wk2AzRHIPKQSeKAEIdKNfzvQLiSUQINCeMBY7IWCYi8YhRcK4IUi6FEkHKGsWOhxEV44BS8YhDeMwhtGeOGS8MVl+MKm0iHQSws/Dy08yoKWp04NT60aPh4a+Hk4gpavhxZ+no5X37Jy33Llek39fKuCiBo+53OBLhZaKoQf5zfFnN8Iu1xoQWmRAWrLZcekaKkAwc5XyYgwFODWcoEoWCpw3ArTVr9fQucDeJWNBDlveZUFHniHAj6h5cJQCCStV5O+DdZQ1WgiuEajQU5Ojnyry8vLCwcPHkTbtm0BALm5uWjevDlsNlvt9rYeKJ0c1mjYShxhSw5cBVcCldXkKCsfspx1TBfKlr8gii5CErX/37ZQeOCy8IURXvJtxWLoUQQ9CoUnjPBCgfCCEd5yKDMKLxhxJaSZoYNOo5bDlXNel6dWDQ+tGr4eGvkWo+N2ox5+Hhr4lI2MOeaIaaDXqDjqRdSA2ewCBWbHgxANxSUuD0W8fNUEaUNxCYxFFtiKjZDM+fAru/V19YhPUNk3wYJw5RthGsle7b7Jt8K8Q66M/jhHg7zLzwm6EoKgaSD/g/4m5daJ4Ha73eVr+2q12uUPDP/YNGBq7ZVvMtSQZLc7Rqxs5Ua/bFZHuDIbAIvR8Wo2lAWwIkf4co6OmfOvrC++DBRdAoQNPpIZPpL5hg7PKtQogBcKrF4osHqiCB4wC51L+LoEX5wV/jgkfHEJfmWByxMm4YlCeMIKLdQqyWXyvK+HBgFejpEwx6tjTpjzFqSPXg0ffdltR08N/D0dgY3/FoiqVmqzo8BcCqO5BMZix6uh7CnQchgqvlKWX1SCgiIzbMX5UFsM8C/3MMQrD0UsRHOpALFlt8WCUAB/yQRfFEMliWrPBQIAofECvAKv3ApzjgDJn8uFH69g3gprwmr87bkPP/xQfiJ3aWkpVq9ejZCQEABAQUFB7fSOGiaVClB5ArU1SdBuBywGR3gyXXAEq5Ii19uLzkBmNgDmslBmKffZYgSEHTrJhuCyYfKasoqyifbCA0VmD5jMehQYvJAPH1wWvrgMH+QLH/wPno46ZRPyC523HeEFEzygU6vlbzY6wpXz24vlv/lY9lru25A+Hhp5Ur7zFqW3TgNPrbrenoJLVJ4QApZSOwotpTBZSlFgdrwWlr0vMDt/+uLKz19ceS1FUXERYDZAU+J4AKKfZIIfiuAnFcmf/WFC88qeEi0VOTpRw4EZUfY8IMkl6ISU+yZY2ciQ/K2wIEj1/HV4ajhqdHuudevWiv4X9KlTp2rUqYakyd2ea6qEcIxmyYHK6HhfUuSY5+UMYWaDI5gVXbhyy9F5u7LEVGvdKRFqGOGFQuEY7Sosm1RvKgtjzm8xOka3HGUmON97OuaClU3IL4IeZugASFe+4SiHsSuhzFnmqVPDq9zjJjx1Kvn25JXHUKjL5o05wpheo2Iga6KEEDCX2GGylqLIYnO8Wm0otjreF1ttKLLaUGQthcliQ1HJlXqOOjYUWUphstpgMltgM5ugshqhtxfBF8XwkYrhDTN8pSL4wPFTF75SEXxRVPZaDD/5czF8UQRPyXrDx2XXekPyDIDkGXTlQYieARW/Fu8V7PqwRN4Go0q49fbc6dOna9ovIveQpLInxvoC/s1r1obdVi5Alb+lWHjlVmLxJceIWPFl10n4cmDLB+yl0NbCiJdL14QkBymTVY8i65UA5gxfJnigGDoUCQ9chh5noUOR0MMMPYqhQ7Eoe4Xe5b0zkDmeDeac/+V4r9eooC8LXB7O9xoV9NorzxNzPktMr1FBq1FBV/YsMed7nUYFndpRx/FeBa3a8bgKrUYFrUqCSiVBJUlQSY7b+2qVdOXZZI3scRZCCNjsAqVli80uIISAXTjm4diFgKXEDkupDeayV0up49Vaane8L7HDYrOjpNQOq80Oa2nZYrPDUuKsf6UNc1mZucSG4hIbLFYbSksskEqLIJUUwQtmeMECb8kMT1jgDTO8JHPZt3XN8JIcZeGwyOXekhleMJfVtcAbxfCB2XGLqwYTnStj1/tB8vB33M5yhpryi2eg6xOi5c8BUKlrqRNE1VBrD7ckavRU6rL/xxxQ8zaEcASu4nxHgJJD1VUT68sHLnkyvrOsoGwemAkoLXZ0TRLwgRk+MLvlURRm4Xi+V7FdD7NZC7PZ8cwvC3SwCMerudxn5/PDrNDCIjQwlj2ktaTsmWIlwvE4CudigRZWoZHrlJQ9rqJEOOrbIZUtKggAdqhQCjVsUKMUKkiSChq1I2A5nw+mvipoSZIjOzvKyj6jbB1Q9tlR7hxfFxAQAhBwhB1R9p/Q5X1ZHbtdwCYEbHbALhzhx2a3QxICwm4DhM3xBQlbCbSwQQMbtJINKtihhh0q2CFBQAM79LDCAyXwkKzQwwo9SqCXShyvzkWyQodS6FACb5RAh1LoJatLHQ/JCo+y7Z1tecIKT1gcv+elQo1vY12LkNRlP2nhA8nDH9D5lP2PFp9yP3vhX/Za9ln+SYwr5apa/ikMInerdmhavHix4rpTp06tbvNEjZskATpvx1LTEa/y7Larvs3onONVPowVXglcJcWO24zWoiu3JOXbk8WO8tKyV9uVh8c6H0ERAJNbnw9WU3YhoRQqR4gSapSWqmErC1iA5PgRz7JXAZS9ShDC9TPgCEiSvJUoC1TyFlCVLdJVi7os0mlgK4tzdkcwkeD6jJ0GNgAiVJqya9IHks4b0Ho5Ao7Wq6zcC9B6OwJPWT1HHR9HufN6loORr+Ohh41o9I+otlR7TlN0dLTL57/++gtFRUUICAgA4HhauJeXF0JDQ3Hy5Mla62h94ZwmarKcgaykuNzzvcq/WhwBS35umOXKc8TkZ4hZHOGrtOwZY/ZSxzcpbSVXvlXpXEot5dZZXb95iQbxE5i1Sqg0gEoLqDRlQ2BqSJIKkNSAxsPxW1saveOHSjV6xxcrNHrHOrW+7L3e8Y1XtR7Q6FzrqvVlbXi6vmo9HaHH+crbWETX5bY5TeUnd69duxbvv/8+Vq1ahQ4dOgBwPGTy8ccfx//7f/+vBt0mojqjUl+ZB9YQCAEIu2OxlzpCnb3U8dlWAghbuQe8lr2Hc5uyV4iye2/Oe27OZ+yIK/fknGNNknTlVX6vKlvK3uOqdSq1IwSp1I7wo9KUlZeFIZUaUOsAFZ9uT9QU1ejbc05t27bFl19+ia5du7qUZ2Rk4G9/+xu/PUdEREQNntK/9Tf09K1z586htLS0QrnNZkNeXt6NNE1ERETUoNxQaBo0aBD+3//7f9i7d69clpGRgaeeegqJiYk33DkiIiKihuKGQtNHH32E8PBw9OjRA3q9Hnq9Hr169UJYWBg+/PDD2uojERERUb27oec0NWvWDN999x2OHTuG33//HQAQExODW265pVY6R0RERNRQ1MrDLdu3b4/27dvXRlNEREREDVK1b88tWLAAxcXFiuqmp6dj06ZN1e4UERERUUNT7dB05MgRtGzZEk8//TQ2b96Mv/76S15XWlqKAwcO4P3338ftt9+OMWPGwNe3gTwDhoiIiOgGVPv23Keffor9+/djyZIlePjhh2E0GqFWq6HX61FUVAQA6Nq1Kx577DE88sgj8PDwqPVOExEREdW1G3q4pd1ux4EDB3DmzBkUFxcjJCQEXbp0QUhISG32sV7x4ZZERERNm9t+RqU8lUqFLl26oEuXLjfSDBEREVGDd0PPaSIiIiK6WTA0ERERESnA0ERERESkQIMITcuWLUNcXBz8/Pzg5+eHhIQEbN68WV4/YMAASJLksjz55JPXbFMIgTlz5iAiIgKenp5ITEzEsWPH3H0oRERE1ES5LTR9+eWXiuu2aNECCxYsQEZGBvbs2YM777wTI0aMwOHDh+U6jz/+OM6dOycvCxcuvGabCxcuxOLFi7F8+XKkp6fD29sbSUlJMJvNNT4mIiIiunnV+JEDpaWlOHr0KHQ6nctvzf3f//0f5syZg6NHj8JisdS4Y0FBQXjrrbcwadIkDBgwAF26dMGiRYsUbSuEQGRkJP7xj3/g+eefBwAYDAaEhYVh9erVePDBB6vc1mKxuPTbaDQiKiqKjxwgIiJqopQ+cqBGI02HDh1Cu3bt0LlzZ9x666247777kJeXh/79+2PixIm46667cOLEiRp13GazYd26dTCZTEhISJDL16xZg5CQEMTGxiI5OVl+kGZlTp06hdzcXCQmJspl/v7+iI+Px65du665/5SUFPj7+8tLVFRUjY6DiIiImpYaPadp5syZaNeuHZYsWYLPPvsMn332GX7//XdMmjQJW7ZsgaenZ7XbPHjwIBISEmA2m+Hj44ONGzeiY8eOAICHH34YrVq1QmRkJA4cOICZM2ciKysLGzZsqLSt3NxcAEBYWJhLeVhYmLyuKsnJyZg+fbr82TnSRERERDe3GoWm3bt34/vvv0eXLl1wxx134LPPPsNLL72Ev//97zXuSIcOHZCZmQmDwYAvv/wSEyZMwI4dO9CxY0c88cQTcr1OnTohIiICgwYNwokTJ9C2bdsa77Myer0eer2+VtskIiKixq9Gt+cuXLiAyMhIAI7bXt7e3ujdu/cNdUSn06Fdu3bo3r07UlJS0LlzZ7z33nuV1o2PjwcAHD9+vNL14eHhAIC8vDyX8ry8PHkdERERUXXUKDRJkoSCggIYjUYYDAZIkoTi4mIYjUaX5UbY7fYqJ5JnZmYCACIiIipdHx0djfDwcKSmpsplRqMR6enpLvOkiIiIiJSq0e05IYTLN+aEEOjatavLZ0mSYLPZFLWXnJyMu+66Cy1btkRBQQHWrl2LtLQ0bN26FSdOnMDatWtx9913Izg4GAcOHMC0adPQr18/xMXFyW3ExMQgJSUFo0aNgiRJeO655zB//ny0b98e0dHRmD17NiIjIzFy5MiaHDIRERHd5GoUmrZv316rnTh//jzGjx+Pc+fOwd/fH3Fxcdi6dSsGDx6MnJwc/PDDD1i0aBFMJhOioqIwevRozJo1y6WNrKwsGAwG+fOMGTNgMpnwxBNPID8/H3379sWWLVvg4eFRq30nIiKim0ONn9N0s1D67AYiIiJqnNz6nKbr2bt3L+655x53NE1ERERUL2ocmrZu3Yrnn38eL730Ek6ePAkAOHr0KEaOHImePXvCbrfXWieJiIiI6luN5jStWrUKjz/+OIKCgnD58mV8+OGHeOeddzBlyhSMGTMGhw4dwq233lrbfSUiIiKqNzUaaXrvvffw5ptv4sKFC/jiiy9w4cIFvP/++zh48CCWL1/OwERERERNTo0mgnt7e+Pw4cNo3bo1hBDQ6/XYvn07+vTp444+1itOBCciImra3DoRvLi4GF5eXgAcD7rU6/VVPmiSiIiIqCmo0ZwmAPjwww/h4+MDACgtLcXq1asREhLiUmfq1Kk31jsiIiKiBqJGt+dat24NSZKu3bAkyd+qa8x4e46IiKhpU/q3vkYjTadPn65pv4iIiIgaJbc83JKIiIioqanRSNOnn36qqN748eNr0jwRERFRg1OjOU0qlQo+Pj7QaDSoanNJknDp0qUb7mB945wmIiKips2tc5puvfVW5OXlYdy4cZg4cSLi4uJq3FEiIiKixqBGc5oOHz6MTZs2obi4GP369UOPHj2wbNkyGI3G2u4fERERUYNQ44ng8fHx+OCDD3Du3DlMnToVX3zxBSIiIjB27FhYLJba7CMRERFRvbvhb895enpi/PjxmDdvHnr16oV169ahqKioNvpGRERE1GDcUGj6888/8cYbb6B9+/Z48MEH0bNnTxw+fBiBgYG11T8iIiKiBqFGE8G/+OILfPzxx9ixYweSkpLw9ttvY9iwYVCr1bXdPyIiIqIGocaPHGjZsiXGjh2LsLCwKus1hd+e4yMHiIiImjalf+v523PXwdBERETUtPG354iIiIhqUYP47blly5YhLi4Ofn5+8PPzQ0JCAjZv3gwAuHTpEqZMmYIOHTrA09MTLVu2xNSpU2EwGK7Z5iOPPAJJklyWoUOH1sXhEBERURNUo9D03//+Fx07dqz0YZYGgwG33XYbfvzxR8XttWjRAgsWLEBGRgb27NmDO++8EyNGjMDhw4dx9uxZnD17Fv/85z9x6NAhrF69Glu2bMGkSZOu2+7QoUNx7tw5efnss8+qdZxERERETjWa03Tvvfdi4MCBmDZtWqXrFy9ejO3bt2Pjxo017lhQUBDeeuutSsPR+vXrMW7cOJhMJmg0ld9hfOSRR5Cfn4+vv/66xn0AOKeJiIioqVP6t75GI0379++/5q2uIUOGICMjoyZNw2azYd26dTCZTEhISKi0jvOgqgpMTmlpaQgNDUWHDh3w1FNP4eLFi9fdv8VigdFodFmIiIiIajQRPC8vD1qttupGNRr89ddf1Wrz4MGDSEhIgNlsho+PDzZu3IiOHTtWqHfhwgW89tpreOKJJ67Z3tChQ3HfffchOjoaJ06cwEsvvYS77roLu3btuubzpFJSUjBv3rxq9Z2IiIiavhrdnmvbti3efvttjBw5stL1GzZswPPPP1+tRw5YrVZkZ2fDYDDgyy+/xIcffogdO3a4BCej0YjBgwcjKCgI33zzzTWD29VOnjyJtm3b4ocffsCgQYOqrGexWFx+O89oNCIqKoq354iIiJoot96eu/vuuzF79myYzeYK64qLizF37lzcc8891WpTp9OhXbt26N69O1JSUtC5c2e899578vqCggIMHToUvr6+2LhxY7UCEwC0adMGISEhOH78+DXr6fV6+Vt8zoWIiIioRrfnZs2ahQ0bNuCWW27BM888gw4dOgAAjh49iqVLl8Jms+Hll1++oY7Z7XZ5xMdoNCIpKQl6vR7ffPMNPDw8qt3e//73P1y8eBERERE31C8iIiK6OdUoNIWFheGXX37BU089heTkZDjv8EmShKSkJCxduvSaP69yteTkZNx1111o2bIlCgoKsHbtWqSlpWHr1q0wGo0YMmQIioqK8O9//9tlcnazZs3k+UkxMTFISUnBqFGjUFhYiHnz5mH06NEIDw/HiRMnMGPGDLRr1w5JSUk1OWQiIiK6ydUoNAFAq1at8N133+Hy5cs4fvw4hBBo3749AgMDq93W+fPnMX78eJw7dw7+/v6Ii4vD1q1bMXjwYKSlpSE9PR0A0K5dO5ftTp06hdatWwMAsrKy5AdeqtVqHDhwAJ988gny8/MRGRmJIUOG4LXXXoNer6/pIRMREdFNrEYTwW8mfE4TERFR0+bWieBERERENxuGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRpEaFq2bBni4uLg5+cHPz8/JCQkYPPmzfJ6s9mMyZMnIzg4GD4+Phg9ejTy8vKu2aYQAnPmzEFERAQ8PT2RmJiIY8eOuftQiIiIqIlqEKGpRYsWWLBgATIyMrBnzx7ceeedGDFiBA4fPgwAmDZtGr799lusX78eO3bswNmzZ3Hfffdds82FCxdi8eLFWL58OdLT0+Ht7Y2kpCSYzea6OCQiIiJqYiQhhKjvTlQmKCgIb731Fv72t7+hWbNmWLt2Lf72t78BAI4ePYpbb70Vu3btQu/evStsK4RAZGQk/vGPf+D5558HABgMBoSFhWH16tV48MEHq9yvxWKBxWKRPxuNRkRFRcFgMMDPz6+Wj5KIiIjqm9FohL+//3X/1jeIkabybDYb1q1bB5PJhISEBGRkZKCkpASJiYlynZiYGLRs2RK7du2qtI1Tp04hNzfXZRt/f3/Ex8dXuY1TSkoK/P395SUqKqp2DoyIiIgatQYTmg4ePAgfHx/o9Xo8+eST2LhxIzp27Ijc3FzodDoEBAS41A8LC0Nubm6lbTnLw8LCFG/jlJycDIPBIC85OTk1PygiIiJqMjT13QGnDh06IDMzEwaDAV9++SUmTJiAHTt21Hk/9Ho99Hp9ne+XiIiIGrYGM9Kk0+nQrl07dO/eHSkpKejcuTPee+89hIeHw2q1Ij8/36V+Xl4ewsPDK23LWX71N+yutQ0RERHRtTSY0HQ1u90Oi8WC7t27Q6vVIjU1VV6XlZWF7OxsJCQkVLptdHQ0wsPDXbYxGo1IT0+vchsiIiKia2kQt+eSk5Nx1113oWXLligoKMDatWuRlpaGrVu3wt/fH5MmTcL06dMRFBQEPz8/TJkyBQkJCS7fnIuJiUFKSgpGjRoFSZLw3HPPYf78+Wjfvj2io6Mxe/ZsREZGYuTIkfV3oERERNRoNYjQdP78eYwfPx7nzp2Dv78/4uLisHXrVgwePBgA8O6770KlUmH06NGwWCxISkrC+++/79JGVlYWDAaD/HnGjBkwmUx44oknkJ+fj759+2LLli3w8PCo02MjIiKipqHBPqepoVD67AYiIiJqnBrtc5qIiIiIGiKGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEiBBhGaUlJS0LNnT/j6+iI0NBQjR45EVlaWvP706dOQJKnSZf369VW2+8gjj1SoP3To0Lo4JCIiImpiGkRo2rFjByZPnoxff/0V27ZtQ0lJCYYMGQKTyQQAiIqKwrlz51yWefPmwcfHB3fdddc12x46dKjLdp999lldHBIRERE1MZr67gAAbNmyxeXz6tWrERoaioyMDPTr1w9qtRrh4eEudTZu3IgHHngAPj4+12xbr9dX2JaIiIiouhrESNPVDAYDACAoKKjS9RkZGcjMzMSkSZOu21ZaWhpCQ0PRoUMHPPXUU7h48eI161ssFhiNRpeFiIiISBJCiPruRHl2ux333nsv8vPz8dNPP1Va5+mnn0ZaWhqOHDlyzbbWrVsHLy8vREdH48SJE3jppZfg4+ODXbt2Qa1WV7rNK6+8gnnz5lUoNxgM8PPzq/4BERERUYNmNBrh7+9/3b/1DS40PfXUU9i8eTN++ukntGjRosL64uJiREREYPbs2fjHP/5RrbZPnjyJtm3b4ocffsCgQYMqrWOxWGCxWOTPRqMRUVFRDE1ERERNlNLQ1KBuzz3zzDP4z3/+g+3bt1camADgyy+/RFFREcaPH1/t9tu0aYOQkBAcP368yjp6vR5+fn4uCxEREVGDmAguhMCUKVOwceNGpKWlITo6usq6q1atwr333otmzZpVez//+9//cPHiRURERNxId4mIiOgm1CBGmiZPnox///vfWLt2LXx9fZGbm4vc3FwUFxe71Dt+/Dh+/PFHPPbYY5W2ExMTg40bNwIACgsL8cILL+DXX3/F6dOnkZqaihEjRqBdu3ZISkpy+zERERFR09IgQtOyZctgMBgwYMAAREREyMvnn3/uUu+jjz5CixYtMGTIkErbycrKkr95p1arceDAAdx777245ZZbMGnSJHTv3h07d+6EXq93+zERERFR09LgJoI3NEonhxEREVHj1CgnghMRERE1VAxNRERERAowNBEREREpwNBEREREpABDExEREZECDE1ERERECjA0ERERESnA0ERERESkAEMTERERkQIMTUREREQKMDQRERERKcDQRERERKQAQxMRERGRAgxNRERERAowNBEREREpwNBEREREpABDExEREZECDE1ERERECjA0ERERESnA0ERERESkAEMTERERkQIMTUREREQKNIjQlJKSgp49e8LX1xehoaEYOXIksrKyXOoMGDAAkiS5LE8++eQ12xVCYM6cOYiIiICnpycSExNx7Ngxdx4KERERNVENIjTt2LEDkydPxq+//opt27ahpKQEQ4YMgclkcqn3+OOP49y5c/KycOHCa7a7cOFCLF68GMuXL0d6ejq8vb2RlJQEs9nszsMhIiKiJkhT3x0AgC1btrh8Xr16NUJDQ5GRkYF+/frJ5V5eXggPD1fUphACixYtwqxZszBixAgAwKeffoqwsDB8/fXXePDBByvdzmKxwGKxyJ8NBgMAwGg0VuuYiIiIqHFw/o0XQly7omiAjh07JgCIgwcPymX9+/cXISEhIjg4WNx2223ixRdfFCaTqco2Tpw4IQCIffv2uZT369dPTJ06tcrt5s6dKwBw4cKFCxcuXG6yJScn55r5RBLierGqbtntdtx7773Iz8/HTz/9JJevWLECrVq1QmRkJA4cOICZM2eiV69e2LBhQ6Xt/PLLL+jTpw/Onj2LiIgIufyBBx6AJEn4/PPPK93u6pEmu92OS5cuITg4GJIk1dJROhiNRkRFRSEnJwd+fn612nZTxXNWfTxn1cPzVX08Z9XHc1Z97jxnQggUFBQgMjISKlXVM5caxO258iZPnoxDhw65BCYAeOKJJ+T3nTp1QkREBAYNGoQTJ06gbdu2tbZ/vV4PvV7vUhYQEFBr7VfGz8+P/2iqiees+njOqofnq/p4zqqP56z63HXO/P39r1unQUwEd3rmmWfwn//8B9u3b0eLFi2uWTc+Ph4AcPz48UrXO+c+5eXluZTn5eUpnhdFRERE5NQgQpMQAs888ww2btyI//73v4iOjr7uNpmZmQDgcuutvOjoaISHhyM1NVUuMxqNSE9PR0JCQq30m4iIiG4eDSI0TZ48Gf/+97+xdu1a+Pr6Ijc3F7m5uSguLgYAnDhxAq+99hoyMjJw+vRpfPPNNxg/fjz69euHuLg4uZ2YmBhs3LgRACBJEp577jnMnz8f33zzDQ4ePIjx48cjMjISI0eOrI/DrECv12Pu3LkVbgdS1XjOqo/nrHp4vqqP56z6eM6qryGcswYxEbyqCdYff/wxHnnkEeTk5GDcuHE4dOgQTCYToqKiMGrUKMyaNcvlvqYkSfI2gGMEa+7cuVixYgXy8/PRt29fvP/++7jlllvq4rCIiIioCWkQoYmIiIiooWsQt+eIiIiIGjqGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoamGfvzxRwwfPhyRkZGQJAlff/31NeunpaVBkqQKS25urlxn2bJliIuLk592mpCQgM2bN7u0YzabMXnyZAQHB8PHxwejR4+u8ADPhqi+zteAAQMqtPHkk0+64xBrnTvOWXkLFiyQH81RXmO9xoD6O2e8zlzP2SuvvFJhfUxMjEs7vM6qf854nVX8t/nnn39i3LhxCA4OhqenJzp16oQ9e/bI64UQmDNnDiIiIuDp6YnExEQcO3asxsfB0FRDJpMJnTt3xtKlS6u1XVZWFs6dOycvoaGh8roWLVpgwYIFyMjIwJ49e3DnnXdixIgROHz4sFxn2rRp+Pbbb7F+/Xrs2LEDZ8+exX333Vdrx+Uu9XW+AODxxx93aWPhwoW1ckzu5o5z5rR792588MEHLs85c2qs1xhQf+cM4HV29Tm77bbbXNZf/dNYvM6qf84AXmflz9nly5fRp08faLVabN68GUeOHMHbb7+NwMBAuc7ChQuxePFiLF++HOnp6fD29kZSUhLMZnPNDuSaP+dLigAQGzduvGad7du3CwDi8uXL1Wo7MDBQfPjhh0IIIfLz84VWqxXr16+X1//+++8CgNi1a1d1u11v6up8CSFE//79xbPPPlv9TjYwtXnOCgoKRPv27cW2bdsqnJ+mco0JUXfnTAheZ1ebO3eu6Ny5c5XreZ1VdL1zJgSvs6vNnDlT9O3bt8r1drtdhIeHi7feeksuy8/PF3q9Xnz22WfV7bYQQgiONNWxLl26ICIiAoMHD8bPP/9cZT2bzYZ169bBZDLJP/uSkZGBkpISJCYmyvViYmLQsmVL7Nq1y+19rw83cr6c1qxZg5CQEMTGxiI5ORlFRUXu7na9ut45mzx5MoYNG+ZyHTndjNcYcGPnzInXmatjx44hMjISbdq0wdixY5GdnS2v43VW/XPmxOvsim+++QY9evTA/fffj9DQUHTt2hUrV66U1586dQq5ubku15m/vz/i4+NrfJ1panYYVF0RERFYvnw5evToAYvFgg8//BADBgxAeno6unXrJtc7ePAgEhISYDab4ePjg40bN6Jjx44AgNzcXOh0OgQEBLi0HRYWVuUcjMaqNs4XADz88MNo1aoVIiMjceDAAcycORNZWVnYsGFDfRyWWyk5Z+vWrcPevXuxe/fuStu4ma4xoHbOGcDr7OpzFh8fj9WrV6NDhw44d+4c5s2bhzvuuAOHDh2SfyqL11n1zhnA6+zqc3by5EksW7YM06dPx0svvYTdu3dj6tSp0Ol0mDBhgnwthYWFubR9Q9dZjcanyAUUDDVWpl+/fmLcuHEuZRaLRRw7dkzs2bNHvPjiiyIkJEQcPnxYCCHEmjVrhE6nq9BOz549xYwZM2rU9/pQV+erMqmpqQKAOH78eLX3X59q45xlZ2eL0NBQsX//fnn91cP9TeUaE6LuzlllbubrrDKXL18Wfn5+8q1zXmfVP2eVudmvM61WKxISElzqTJkyRfTu3VsIIcTPP/8sAIizZ8+61Ln//vvFAw88UP2OC96eq1e9evXC8ePHXcp0Oh3atWuH7t27IyUlBZ07d8Z7770HAAgPD4fVakV+fr7LNnl5eQgPD6+rbteb6p6vysTHxwNAhXaaqvLnLCMjA+fPn0e3bt2g0Wig0WiwY8cOLF68GBqNBjab7aa/xoDqn7PK3MzXWWUCAgJwyy23yHV4nVX/nFXmZr/OIiIiXO4sAMCtt94q39Z0XktXfyvzRq4zhqZ6lJmZiYiIiGvWsdvtsFgsAIDu3btDq9UiNTVVXp+VlYXs7OwK83iaouqer6raAHDddpqK8uds0KBBOHjwIDIzM+WlR48eGDt2LDIzM6FWq2/6awyo/jmrqg3g5rzOKlNYWIgTJ07IdXidVf+cVdUGcPNeZ3369EFWVpZLnT/++AOtWrUCAERHRyM8PNzlOjMajUhPT6/xdcY5TTVUWFjoknhPnTqFzMxMBAUFoWXLlkhOTsaff/6JTz/9FACwaNEiREdH47bbboPZbMaHH36I//73v/j+++/lNpKTk3HXXXehZcuWKCgowNq1a5GWloatW7cCcExgmzRpEqZPn46goCD4+flhypQpSEhIQO/evev2BFRTfZyvEydOYO3atbj77rsRHByMAwcOYNq0aejXr1+VXxtvSGr7nPn6+iI2NtZlH97e3ggODpbLG/M1BtTPOeN1VvHf5vPPP4/hw4ejVatWOHv2LObOnQu1Wo2HHnoIAK+zmpwzXmcVz9m0adNw++2344033sADDzyA3377DStWrMCKFSsAQH6m2vz589G+fXtER0dj9uzZiIyMxMiRI2t2IDW6qUfy1yGvXiZMmCCEEGLChAmif//+cv0333xTtG3bVnh4eIigoCAxYMAA8d///telzYkTJ4pWrVoJnU4nmjVrJgYNGiS+//57lzrFxcXi6aefFoGBgcLLy0uMGjVKnDt3zt2He8Pq43xlZ2eLfv36iaCgIKHX60W7du3ECy+8IAwGQ10c8g1zxzm7WmXzcxrrNSZE/ZwzXmcVz9mYMWNERESE0Ol0onnz5mLMmDEV5t3wOqveOeN1Vvm/zW+//VbExsYKvV4vYmJixIoVK1zW2+12MXv2bBEWFib0er0YNGiQyMrKqvFxSEIIUbO4RURERHTz4JwmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIqJGb8CAAXjuuefquxuymvbn4sWLCA0NxenTp2u9T1d78MEH8fbbb7t9P0RNCUMTESmyfPly+Pr6orS0VC4rLCyEVqvFgAEDXOqmpaVBkiScOHGijntZt2o7rL3++usYMWIEWrduXWttVmXWrFl4/fXXYTAY3L4voqaCoYmIFBk4cCAKCwuxZ88euWznzp0IDw9Heno6zGazXL59+3a0bNkSbdu2rY+uNkpFRUVYtWoVJk2aVCf7i42NRdu2bfHvf/+7TvZH1BQwNBGRIh06dEBERATS0tLksrS0NIwYMQLR0dH49ddfXcoHDhwIANiyZQv69u2LgIAABAcH45577nEZgVqxYgUiIyNht9td9jdixAhMnDgRAGC325GSkoLo6Gh4enqic+fO+PLLL6vsq5L6AwYMwNSpUzFjxgwEBQUhPDwcr7zyikudgoICjB07Ft7e3oiIiMC7774rjy498sgj2LFjB9577z1IkgRJklxuq9nt9mu2fbXvvvsOer0evXv3din/6aefoNVqXULp6dOnIUkSzpw5I7//6quv0K9fP3h6eqJnz57Izs7Gzp070bt3b3h5eWHQoEHIz893aXv48OFYt27dNftFRFcwNBGRYgMHDsT27dvlz9u3b8eAAQPQv39/uby4uBjp6elyaDKZTJg+fTr27NmD1NRUqFQqjBo1Sg5J999/Py5evOjS7qVLl7BlyxaMHTsWAJCSkoJPP/0Uy5cvx+HDhzFt2jSMGzcOO3bsqLSfSut/8skn8Pb2Rnp6OhYuXIhXX30V27Ztk9dPnz4dP//8M7755hts27YNO3fuxN69ewEA7733HhISEvD444/j3LlzOHfuHKKiohS3fbWdO3eie/fuFcozMzNx6623wsPDQy7bt28fAgMD0apVK+zfvx8AsGzZMrzxxhv45ZdfkJeXh3HjxmHBggVYsmQJtm/fjv379+Pjjz92abtXr1747bffYLFYquwXEZUjiIgUWrlypfD29hYlJSXCaDQKjUYjzp8/L9auXSv69esnhBAiNTVVABBnzpyptI2//vpLABAHDx6Uy0aMGCEmTpwof/7ggw9EZGSksNlswmw2Cy8vL/HLL7+4tDNp0iTx0EMPCSGE6N+/v3j22WeFEEJRfec2ffv2danTs2dPMXPmTCGEEEajUWi1WrF+/Xp5fX5+vvDy8pL3VX6/5V2v7cpcfQ6cHnvsMTF+/HiXsjlz5ogBAwYIIYR45ZVXRFBQkLhw4YK8fty4caJ169bCZDLJZUOHDhUzZsxwaWf//v0CgDh9+nSV/SKiKzjSRESKDRgwACaTCbt378bOnTtxyy23oFmzZujfv788ryktLQ1t2rRBy5YtAQDHjh3DQw89hDZt2sDPz0+e5JydnS23O3bsWHz11VfyiMeaNWvw4IMPQqVS4fjx4ygqKsLgwYPh4+MjL59++mmlE82rUz8uLs7lc0REBM6fPw8AOHnyJEpKStCrVy95vb+/Pzp06KDoXF2r7coUFxe7jCY5ZWZmokuXLi5l+/btk8v279+PUaNGITg4WF6fnZ2NMWPGwMvLy6UsOjrapR1PT08AjvlURHR9mvruABE1Hu3atUOLFi2wfft2XL58Gf379wcAREZGIioqCr/88gu2b9+OO++8U95m+PDhaNWqFVauXCnPXYqNjYXVanWpI4TApk2b0LNnT+zcuRPvvvsuAMc39ABg06ZNaN68uUt/9Hp9hT5Wp75Wq3X5LElShblVNVXdtkNCQnD58mWXMpvNhkOHDqFr164u5Xv37sXo0aMBOEJVcnKyy/r9+/dj2rRp8mez2YysrCx07tzZpd6lS5cAAM2aNVN4VEQ3N4YmIqqWgQMHIi0tDZcvX8YLL7wgl/fr1w+bN2/Gb7/9hqeeegqA47lDWVlZWLlyJe644w4AjonNV/Pw8MB9992HNWvW4Pjx4+jQoQO6desGAOjYsSP0ej2ys7PlkHYt1a1flTZt2kCr1WL37t3yqJnBYMAff/yBfv36AQB0Oh1sNluN91Fe165dK3yTLSsrC2azGZGRkXLZrl278Oeff6JLly4wGo04ffq0S6g6deoUDAaDS9nBgwchhECnTp1c2j906BBatGiBkJCQWjkGoqaOoYmIqmXgwIGYPHkySkpKXEJJ//798cwzz8BqtcqTwAMDAxEcHIwVK1YgIiIC2dnZePHFFyttd+zYsbjnnntw+PBhjBs3Ti739fXF888/j2nTpsFut6Nv374wGAz4+eef4efnhwkTJri0U936VfH19cWECRPwwgsvICgoCKGhoZg7dy5UKhUkSQIAtG7dGunp6Th9+jR8fHwQFBQElapmsx6SkpKQnJyMy5cvIzAwEIBjFAkA/vWvf2Hq1Kk4fvw4pk6dCgCwWq3Yv38/1Go1YmNj5XYyMzMRFBSEVq1auZS1bdsWPj4+LvvcuXMnhgwZUqP+Et2MOKeJiKpl4MCBKC4uRrt27RAWFiaX9+/fHwUFBfKjCQBApVJh3bp1yMjIQGxsLKZNm4a33nqr0nbvvPNOBAUFISsrCw8//LDLutdeew2zZ89GSkoKbr31VgwdOhSbNm2qMEenpvWr8s477yAhIQH33HMPEhMT0adPH5dvsj3//PNQq9Xo2LEjmjVr5jJPq7o6deqEbt264YsvvpDLMjMzkZSUhJMnT6JTp054+eWXMW/ePPj5+WHx4sXYv38/OnTo4DIXav/+/RVu5+3fv7/CrTmz2Yyvv/4ajz/+eI37THSzkYQQor47QUTUGJhMJjRv3hxvv/22Wx5CuWnTJrzwwgs4dOgQVCoVkpKS0LNnT8yfP7/W97Vs2TJs3LgR33//fa23TdRU8fYcEVEV9u3bh6NHj6JXr14wGAx49dVXATgevOkOw4YNw7Fjx/Dnn38iKioK+/fvlx/wWdu0Wi3+9a9/uaVtoqaKI01ERFXYt28fHnvsMWRlZUH3/7d35/FRlPcfwD8zeyWB3ASSYLiEAjHcZ+QKgmJVCkgRKZSjHBXLmSIE5RQ1QAuC4k9K7AGvQkGtUCxCRSAIGMKNECHlEEOBEFByk2R35/n9sbtDliQw2WzYHJ/36zWv3X1m5tlvhiH57DOzM0YjOnXqhJUrV5Y4oboypKenIywsDCkpKYiMjKz09yOih2NoIiIiItKAJ4ITERERacDQRERERKQBQxMRERGRBgxNRERERBowNBERERFpwNBEREREpAFDExEREZEGDE1EREREGjA0EREREWnA0ERERESkAUMTERERkQYMTUREREQaMDQRERERacDQRERERKQBQxMRERGRBgxNRERERBowNBERERFpwNBEREREpAFDExEREZEGek8XUNUpioLr16/D19cXkiR5uhwiIiJyMyEEcnJyEB4eDlkuezyJoekhrl+/joiICE+XQURERJXs6tWreOyxx8qcz9D0EL6+vgBsG9LPz8/D1RAREZG7ZWdnIyIiQv2bXxaGpodwHJLz8/NjaCIiIqrBHnYaDk8EJyIiItKAoYmIiIhIA4YmIiIiIg14ThMREdUKVqsVZrPZ02WQBxgMBuh0ugr3w9BEREQ1mhAC6enpyMzM9HQp5EEBAQEIDQ2t0DUXGZqIiKhGcwSm+vXrw8fHhxcqrmWEEMjPz0dGRgYAICwszOW+GJqIiKjGslqtamAKDg72dDnkId7e3gCAjIwM1K9f3+VDdTwRnIiIaizHOUw+Pj4eroQ8zbEPVOS8NoYmIiKq8XhIjtyxDzA0EREREWnA0ERERESkAUMTERERkQYMTURERDVUTEwMZsyY4fE+agqGJiIioipo7NixGDx4sKfLoGIYmoiIiIg0YGgiIiKq4mJiYjB16lTMmDEDgYGBaNCgARISEpCXl4dx48bB19cXzZs3x86dO0usa7FYMGXKFPj7+6NevXqYP38+hBAAgF27dqFnz54ICAhAcHAwXnjhBVy6dOmBtTxsnZiYGEybNg2zZ89GUFAQQkNDsWjRIqc+FEXB8uXL0bx5c5hMJjRq1Ahvv/220/z4+Hg0bdoU3t7eaNeuHT799NMKbEH3YGgiIqJaQwiB/CKLRyZHUHHV+vXrUa9ePRw5cgRTp07F5MmTMWzYMDz55JM4ceIEnnnmGfz6179Gfn5+ifX0ej2OHDmC1atXY+XKlfjoo48AAHl5eYiNjcWxY8ewZ88eyLKMIUOGQFGUMuvQss769etRp04dJCcnY/ny5XjzzTexe/dudf7cuXOxdOlSzJ8/H9999x02bdqEBg0aqPPj4+OxYcMGrF27FikpKZg5cyZGjRqF/fv3V2gbVpQkKvqvWMNlZ2fD398fWVlZ8PPz83Q5RERUDgUFBfj+++/RtGlTeHl5Ib/IgsgF//FILd+9OQA+Ru13Lxs7diwyMzOxbds2xMTEwGq14sCBAwBst4fx9/fHiy++iA0bNgCw3WMvLCwMSUlJ6N69OwDbqE9GRgZSUlLUizvGxcVh+/bt+O6770q85+3btxESEoIzZ84gKipK7aN9+/ZYtWpVqXXev879tQJA165d8dRTT2Hp0qXIyclBSEgI1qxZgwkTJpTor7CwEEFBQfjqq68QHR2ttk+YMAH5+fnYtGkTVq5cidu3b+Odd97RvD3v3xeK0/q3niNNRERE1UDbtm3V5zqdDsHBwWjTpo3a5hipcdyY1qF79+5OV8OOjo7GhQsXYLVaceHCBYwYMQLNmjWDn58fmjRpAgBIS0srsw4t6xSvFbDdJNdR17lz51BYWIh+/fqV2v/FixeRn5+Pp59+GnXr1lWnDRs2qIcBz549q4a6R4k37CUiolrD26DDd28O8Nh7V4TBYHB6LUmSU5sjGD3o0Nr9Bg4ciMaNGyMhIQHh4eFQFAVRUVEoKiqq0Dql1eqoy3Hz3LLk5uYCAHbs2IGGDRs6zTOZTABsockTl0GodiNNH3zwAZo0aQIvLy9069YNR44c0bTe5s2bIUkSv75JRFSLSZIEH6PeI5On7n+XnJzs9Prw4cNo0aIFMjMzkZqainnz5qFfv35o3bo17ty588C+fvzxx3Kvc78WLVrA29sbe/bsKXV+ZGQkTCYT0tLS0Lx5c6cpIiICQghcuHABrVq1Ktf7ukO1GmnasmULYmNjsXbtWnTr1g2rVq3CgAEDkJqaivr165e53pUrVzBr1iz06tXrEVZLRETkeWlpaYiNjcVvf/tbnDhxAu+//z5WrFiBwMBABAcHY926dQgLC0NaWhri4uIe2Jcr69zPy8sLc+bMwezZs2E0GtGjRw/cunULKSkpGD9+PHx9fTFr1izMnDkTiqKgZ8+eyMrKwqFDh+Dn54devXohLCwMRqOxIpvFJdUqNK1cuRITJ07EuHHjAABr167Fjh078Je//KXMfzSr1YqRI0di8eLFOHDgADIzMx/4HoWFhSgsLFRfZ2dnu61+IiKiR2306NG4e/cuunbtCp1Oh+nTp2PSpEmQJAmbN2/GtGnTEBUVhZYtW+K9995DTExMmX3JslzudUozf/586PV6LFiwANevX0dYWBheeeUVdf6SJUsQEhKC+Ph4XL58GQEBAejYsSNef/11j53PBFSjb88VFRXBx8cHn376qdMhtjFjxiAzMxP/+te/Sl1v4cKF+Pbbb7F161anbyKUZdGiRVi8eHGJdn57joio+nnQN6aoenrnnXdgsViwYMGCcq1Xq749d/v2bVitVqfrOAC2bwukp6eXus7Bgwfx5z//GQkJCZrfZ+7cucjKylKnq1evVqhuIiIich9PjjRVq8Nz5ZGTk4Nf//rXSEhIQL169TSvZzKZ1LPziYiIqGrZtGmTx9672oSmevXqQafT4ebNm07tN2/eRGhoaInlL126hCtXrmDgwIFqm+Prjnq9HqmpqXj88ccrt2giIiKqMarN4Tmj0YhOnTo5fUVRURTs2bPH6YqhDq1atcKZM2dw6tQpdfrFL36Bvn374tSpU4iIiHiU5RMREVE1V21GmgAgNjYWY8aMQefOndG1a1esWrVKvVkhYPuGQMOGDREfHw8vL68SxzwDAgIAwGPHQomIiKj6qlahafjw4bh16xYWLFiA9PR0tG/fHrt27VJPDk9LS4MsV5vBMyIiIqpGqs0lBzyFN+wlIqq+eMkBcqhVlxwgIiIi8iSGJiIiIiINGJqIiIiINGBoIiIiItKAoYmIiIhIA4YmIiIiIg0YmoiIiGqomJgYzJgxw+N91BQMTURERFXQ2LFjMXjwYE+XQcUwNBERERFpwNBERES1hxBAUZ5npgrcgCMmJgZTp07FjBkzEBgYiAYNGiAhIUG9/6qvry+aN2+OnTt3lljXYrFgypQp8Pf3R7169TB//nw4bgaya9cu9OzZEwEBAQgODsYLL7yAS5cuPbCWh60TExODadOmYfbs2QgKCkJoaCgWLVrk1IeiKFi+fDmaN28Ok8mERo0a4e2333aaHx8fj6ZNm8Lb2xvt2rXDp59+6vL2c5dqde85IiKiCjHnA++Ee+a9X78OGOu4vPr69esxe/ZsHDlyBFu2bMHkyZOxdetWDBkyBK+//jreffdd/PrXv0ZaWhp8fHyc1hs/fjyOHDmCY8eOYdKkSWjUqBEmTpyIvLw8xMbGom3btsjNzcWCBQswZMgQnDp1qsx7uWpZZ/369YiNjUVycjKSkpIwduxY9OjRA08//TQAYO7cuUhISMC7776Lnj174saNGzh//rz6HvHx8fj73/+OtWvXokWLFvj6668xatQohISEoE+fPi5vw4rivecegveeIyKqvkrcb6wor9qEprFjxyIzMxPbtm1DTEwMrFYrDhw4AACwWq3w9/fHiy++iA0bNgAA0tPTERYWhqSkJHTv3h2AbdQnIyMDKSkpkCQJABAXF4ft27fju+++K/Get2/fRkhICM6cOYOoqCi1j/bt22PVqlWl1nn/OvfXCgBdu3bFU089haVLlyInJwchISFYs2YNJkyYUKK/wsJCBAUF4auvvkJ0dLTaPmHCBOTn52PTpk0AgA0bNmD16tWwWCzw9fXFmjVr0L59+zK3pzvuPceRJiIiqj0MPrbw4qn3roC2bduqz3U6HYKDg9GmTRu1rUGDBgCAjIwMp/W6d++uBiYAiI6OxooVK2C1WnH58mUsWLAAycnJuH37NhRFAQCkpaWpoel+Fy5ceOg6xWsFgLCwMLWuc+fOobCwEP369Su1/4sXLyI/P18dlXIoKipChw4dAADr1q3Dxx9/jK+++gqBgYFITEzEiy++iPPnz8NoNJbarzswNBERUe0hSRU6ROZJBoPB6bUkSU5tjmDkCDFaDBw4EI0bN0ZCQgLCw8OhKAqioqJQVFRUoXVKq9VRl7e39wNrys3NBQDs2LEDDRs2dJpnMpmQnZ2Nt956C8ePH0dgYCAA22iYn58fvvvuuweONlUUQxMREVENlpyc7PT68OHDaNGiBTIzM5GamoqEhAT06tULAHDw4MEH9vXjjz+We537tWjRAt7e3tizZ0+ph+ciIyNhMpmQlpZW6vlLCQkJ6N27N0JCQpzaTSYT8vPzy1VLeTE0ERER1WBpaWmIjY3Fb3/7W5w4cQLvv/8+VqxYgcDAQAQHB2PdunUICwtDWloa4uLiHtiXK+vcz8vLC3PmzMHs2bNhNBrRo0cP3Lp1CykpKRg/fjx8fX0xa9YszJw5E4qioGfPnsjKysKhQ4fU0aT7Dx0WFhbiwoULaNGiRbm3T3kwNBEREdVgo0ePxt27d9G1a1fodDpMnz4dkyZNgiRJ2Lx5M6ZNm4aoqCi0bNkS7733HmJiYsrsS5blcq9Tmvnz50Ov12PBggW4fv06wsLC8Morr6jzlyxZgpCQEMTHx+Py5csICAhAx44d8frrr+Py5cslDh9+/PHH6NGjR4nRJ3fjt+cegt+eIyKqvh70jSmqng4fPoxx48YhKSkJAQEBOHr0KEaNGoUvvvgCjz/+eJnr8dtzREREVKt0794dM2fORO/evVFQUIC6deviX//61wMDk7vwiuBERERUrUyaNAnffvstvvjiCxQWFj6yI0EcaSIiIqJqqXnz5khJSXlk78eRJiIiIiINGJqIiIiINGBoIiIiItKAoYmIiGo8Xl2H3LEPMDQREVGN5bgHWmXfXoOqPsc+cP998cqD354jIqIaS6fTISAgABkZGQAAHx8f9ca2VDsIIZCfn4+MjAwEBARAp9O53BdDExER1WihoaEAoAYnqp0CAgLUfcFVDE1ERFSjSZKEsLAw1K9fH2az2dPlkAcYDIYKjTA5MDQREVGtoNPp3PKHk2ovnghOREREpAFDExEREZEGDE1EREREGjA0EREREWnA0ERERESkAUMTERERkQYMTUREREQaMDQRERERacDQRERERKQBQxMRERGRBgxNRERERBpUu9D0wQcfoEmTJvDy8kK3bt1w5MiRMpdNSEhAr169EBgYiMDAQPTv3/+ByxMRERGVpVqFpi1btiA2NhYLFy7EiRMn0K5dOwwYMAAZGRmlLp+YmIgRI0Zg3759SEpKQkREBJ555hlcu3btEVdORERE1Z0khBCeLkKrbt26oUuXLlizZg0AQFEUREREYOrUqYiLi3vo+larFYGBgVizZg1Gjx5d6jKFhYUoLCxUX2dnZyMiIgJZWVnw8/Nzzw9CREREVUZ2djb8/f0f+re+2ow0FRUV4fjx4+jfv7/aJssy+vfvj6SkJE195Ofnw2w2IygoqMxl4uPj4e/vr04REREVrp2IiIiqv2oTmm7fvg2r1YoGDRo4tTdo0ADp6ema+pgzZw7Cw8Odgtf95s6di6ysLHW6evVqheomIiKimkHv6QIelaVLl2Lz5s1ITEyEl5dXmcuZTCaYTKZHWBkRERFVB+UOTefOncPmzZtx4MAB/PDDD8jPz0dISAg6dOiAAQMGYOjQoZUSOurVqwedToebN286td+8eROhoaEPXPePf/wjli5diq+++gpt27Z1e21ERERU82k+PHfixAn0798fHTp0wMGDB9GtWzfMmDEDS5YswahRoyCEwBtvvIHw8HAsW7bM6WRqdzAajejUqRP27NmjtimKgj179iA6OrrM9ZYvX44lS5Zg165d6Ny5s1trIiIiotpD80jT0KFD8dprr+HTTz9FQEBAmcslJSVh9erVWLFiBV5//XV31KiKjY3FmDFj0LlzZ3Tt2hWrVq1CXl4exo0bBwAYPXo0GjZsiPj4eADAsmXLsGDBAmzatAlNmjRRz32qW7cu6tat69baiIiIqGbTHJr++9//wmAwPHS56OhoREdHw2w2V6iw0gwfPhy3bt3CggULkJ6ejvbt22PXrl3qyeFpaWmQ5XuDZx9++CGKiorwy1/+0qmfhQsXYtGiRW6vj4iIiGquanWdJk/Qeu0GIiIiqp4q7TpNOTk5OH78OHJzcwHYznUaPXo0hg0bho0bN7peMREREVEVVq5vz3399dd44YUXkJubi8DAQPzjH//AL3/5SzRs2BA6nQ6fffYZ8vPzMXHixMqql4iIiMgjyjXSNG/ePAwbNgxXr17FjBkzMHz4cEyZMgXnzp3D2bNnsXjxYnzwwQeVVSsRERGRx5TrnKaAgAAcPnwYrVq1QlFREby9vdUb5wLAxYsX0aFDB+Tk5FRawY8az2kiIiKq2SrlnKbs7Gz1vm1GoxE+Pj7w9fVV5/v6+iI/P9/FkomIiIiqrnKFJkmSIElSma+JiIiIaqpynQguhEC/fv2g19tWy8/Px8CBA2E0GgEAFovF/RUSERERVQHlCk0LFy50ej1o0KASywwdOrRiFRERERFVQby45UPwRHAiIqKardIubklERERUG2k+PNehQwfNJ32fOHHC5YKIiIiIqiLNoWnw4MHq84KCAvzf//0fIiMjER0dDQA4fPgwUlJS8Oqrr7q9SCIiIiJP0xyaip8EPmHCBEybNg1LliwpsczVq1fdVx0RERFRFeHSieD+/v44duwYWrRo4dR+4cIFdO7cGVlZWW4r0NN4IjgREVHNVqkngnt7e+PQoUMl2g8dOgQvLy9XuiQiIiKq0sp1nSaHGTNmYPLkyThx4gS6du0KAEhOTsZf/vIXzJ8/360FEhEREVUFLoWmuLg4NGvWDKtXr8bf//53AEDr1q3x17/+FS+99JJbCyQiIiKqCnhxy4fgOU1EREQ1m9vPaWK2IiIiotpMc2h64oknsHnzZhQVFT1wuQsXLmDy5MlYunRphYsjIiIiqio0n9P0/vvvY86cOXj11Vfx9NNPo3PnzggPD4eXlxfu3LmD7777DgcPHkRKSgqmTJmCyZMnV2bdRERERI9Uuc9pOnjwILZs2YIDBw7ghx9+wN27d1GvXj106NABAwYMwMiRIxEYGFhZ9T5yPKeJiIioZtP6t54ngj8EQxMREVHNVqkXtyQiIiKqbRiaiIiIiDRgaCIiIiLSgKGJiIiISAOGJiIiIiINXA5Nly5dwrx58zBixAhkZGQAAHbu3ImUlBS3FUdERERUVbgUmvbv3482bdogOTkZn332GXJzcwEAp0+fxsKFC91aIBEREVFV4FJoiouLw1tvvYXdu3fDaDSq7U899RQOHz7stuKIiIiIqgqXQtOZM2cwZMiQEu3169fH7du3K1wUERERUVXjUmgKCAjAjRs3SrSfPHkSDRs2rHBRRERERFWNS6Hp5Zdfxpw5c5Ceng5JkqAoCg4dOoRZs2Zh9OjR7q6RiIiIyONcCk3vvPMOWrVqhYiICOTm5iIyMhK9e/fGk08+iXnz5rm7RiIiIiKPq9ANe69evYozZ84gNzcXHTp0QIsWLdxZW5XAG/YSERHVbFr/1usr8iYRERGIiIioSBdERERE1YJLh+eGDh2KZcuWlWhfvnw5hg0bVuGiiIiIiKoal0LT119/jeeee65E+89//nN8/fXXFS6KiIiIqKpxKTTl5uY6XdTSwWAwIDs7u8JFEREREVU1LoWmNm3aYMuWLSXaN2/ejMjIyAoXRURERFTVuBSa5s+fjyVLlmDMmDFYv3491q9fj9GjR+Ptt9/G/Pnz3V2jkw8++ABNmjSBl5cXunXrhiNHjjxw+U8++QStWrWCl5cX2rRpgy+++KJS6yMiIqKayaXQNHDgQGzbtg0XL17Eq6++it///vf43//+h6+++gqDBw92c4n3bNmyBbGxsVi4cCFOnDiBdu3aYcCAAcjIyCh1+W+++QYjRozA+PHjcfLkSQwePBiDBw/G2bNnK61GIiIiqpkqdJ2mR61bt27o0qUL1qxZAwBQFAURERGYOnUq4uLiSiw/fPhw5OXl4d///rfa1r17d7Rv3x5r164t9T0KCwtRWFiovs7OzkZERASv00RERFRDab1Ok0sjTQ5FRUX43//+h7S0NKepMhQVFeH48ePo37+/2ibLMvr374+kpKRS10lKSnJaHgAGDBhQ5vIAEB8fD39/f3XidaiIiIgIcDE0XbhwAb169YK3tzcaN26Mpk2bomnTpmjSpAmaNm3q7hoBALdv34bVakWDBg2c2hs0aID09PRS10lPTy/X8gAwd+5cZGVlqdPVq1crXjwRERFVey5dEXzs2LHQ6/X497//jbCwMEiS5O66PMZkMsFkMnm6DCIiIqpiXApNp06dwvHjx9GqVSt311OmevXqQafT4ebNm07tN2/eRGhoaKnrhIaGlmt5IiIiorK4dHguMjISt2/fdnctD2Q0GtGpUyfs2bNHbVMUBXv27EF0dHSp60RHRzstDwC7d+8uc3kiIiKisrgUmpYtW4bZs2cjMTERP/74I7Kzs52myhIbG4uEhASsX78e586dw+TJk5GXl4dx48YBAEaPHo25c+eqy0+fPh27du3CihUrcP78eSxatAjHjh3DlClTKq1GIiIiqplcOjzn+EZav379nNqFEJAkCVarteKVlWL48OG4desWFixYgPT0dLRv3x67du1ST/ZOS0uDLN/LgU8++SQ2bdqEefPm4fXXX0eLFi2wbds2REVFVUp9REREVHO5dJ2m/fv3P3B+nz59XC6oqtF67QYiIiKqnrT+rXdppKkmhSIiIiIiLVwKTQ75+flIS0tDUVGRU3vbtm0rVBQRERFRVeNSaLp16xbGjRuHnTt3ljq/ss5pIiIiIvIUl749N2PGDGRmZiI5ORne3t7YtWsX1q9fjxYtWmD79u3urpGIiIjI41waadq7dy/+9a9/oXPnzpBlGY0bN8bTTz8NPz8/xMfH4/nnn3d3nUREREQe5dJIU15eHurXrw8ACAwMxK1btwAAbdq0wYkTJ9xXHREREVEV4VJoatmyJVJTUwEA7dq1w5/+9Cdcu3YNa9euRVhYmFsLJCIiIqoKXDo8N336dNy4cQMAsHDhQjz77LPYuHEjjEYj/va3v7mzPiIiIqIqwaWLW94vPz8f58+fR6NGjVCvXj131FVl8OKWRERENVulXtzyfj4+PujYsaM7uiIiIiKqkjSHptjYWM2drly50qViiIiIiKoqzaHp5MmTmpaTJMnlYoiIiIiqKs2had++fZVZBxEREVGV5tIlB4iIiIhqG5dPBD927Bg+/vjjUm/Y+9lnn1W4MCIiIqKqxKWRps2bN+PJJ5/EuXPnsHXrVpjNZqSkpGDv3r3w9/d3d41EREREHudSaHrnnXfw7rvv4vPPP4fRaMTq1atx/vx5vPTSS2jUqJG7ayQiIiLyOJdC06VLl9Sb8hqNRuTl5UGSJMycORPr1q1za4FEREREVYFLoSkwMBA5OTkAgIYNG+Ls2bMAgMzMTOTn57uvOiIiIqIqwqUTwXv37o3du3ejTZs2GDZsGKZPn469e/di9+7d6Nevn7trJCIiIvI4l0LTmjVrUFBQAAB44403YDAY8M0332Do0KGYN2+eWwskIiIiqgrccsPemow37CUiotpECAGrImC2ChRZFVisCiyKgNmqwGK1PZrtjxbF9txiscJiKYLVYoZiLoLVaobVXATF3iYstueK1fZcWM1QrGZAMUNYLLZHq+1RspohhBWwWgBhhaRYICn25wBejn3X7T9zpd+w12q1YuvWrTh37hwAIDIyEoMGDYJe75Z7ANd4Gbd/xL6vEyFJMiRZBmQZkGTIsg6QZEiSDMg6+zwdJEiABEj255Ksg6zTQ9IbIEk66PR6QLK16XS2dXSyDjpZgixJ0MkSdDKgk2Xo1NfObbKMe+32ZWRZgl6WYNDJ0MsSb5NDRFROQgg1dJgtAmZFUZ8XWe3PHUHEYoXVYobFUgRLUSGs5gJYzYWwmotgtRRBmAuhOEKHpQjCUgihWOxBpMgWNKxFgLUIkj2ASEqR/dEMWVggWc2QhRk6YYGsWNTnOmGBXpihgwV6WGGEBXr7cwOstkfJAh9YYbhvGZ30aMZfzEIHwP2hSSuXEk5KSgp+8YtfID09HS1btgQALFu2DCEhIfj8888RFRXl1iJrosy0sxj+7W8q/X0sQoYVMhTYHq2QYYEOiv3RChlWIcMCGVbHazivY4EOZqFDEQywSgZYJT0USYaADAFASDIACQp0UGQ9FEkHIemgSHoISYZQH3WAbFsGsgFC1kNIBkCnB3RGCJ0BkG2vJdkWAiXZNtnaDJB0Bkg6PSSdHrLOoAZH23MDZL0eOp0Rst42X6fTQbaHQFmSoNfZAqBJL8Ogk2Gwv74XIm0hUS4WHB1tDIxEniWEbfRDHd24bwTE0a6GEIsCi7kQVot91EMd/TDDaimEYimEYjZDsRTaR0JsAQTWIgiLGcJqtocPC4S1CJLVAkkpAhQzZGsRJGGBrNjCiE4pgqxYoBO2YKIvHkRggcFpsoUOg2SBNyww2tv0sMAoWT23gSX75CZWyLBKelvckvRQJD2ssh6KZLD9nZBtbYpsAOyvhWyAkHX3/jbY/xZAtj+XdYgQwmO/j10KTRMmTMATTzyBY8eOITAwEABw584djB07FpMmTcI333zj1iJrIr86PvjRGA5JCEhQIAkFEoT90TbJapvVvh8L22v7cno8/D+XXlKgh/LghSq67xX/gOHB/+9lKR4czdDBDL1tEnoUQY986GCFTg2OFvuyFqFzCpqO//yW4v/pobMFSMkWBoWktz86QqEtKDoeYW+TZD2ErLc/2oOhrL8XEKV7j5LO1i7Zw6TjtSzbA6Osg6wzQNLZRx91enubDrKkg14v3xttlOyBsPgIpH2U0fG6eLskQW1Tl7EHUEmG+twxT5Yk2+9diTfvrgghBBQBKEJAEQLC/tyq2NpFsef32gUUBbDaXwsh1OclJiFgtVqhWC0QVgsUqxWK1aw+CsUKq9UCKBb7MlYoim1Z23TvUIpiX04oFkCxQihmSFbbI+xtktUMCIstdAgzoFhtYcM+0iEJq33EwwLJHjRkYYVsf64Tto94jlGPeyMf9tEOyQIvtb14KPHwLyQ3hRAzbB9WLfYPrVbZYP8dZP99IxugyAbbB1TZAGH/ECp0RvsHUdsk6YyQ9EZAZ4CsM9p+f+iNkHRGyHoDZL0JOoPtud5ggqw3Qm8wQqc3QdYbivVlVPtU22SD7Xec+lxvO4pR8R+/SnHpnCZvb28cO3YMTzzxhFP72bNn0aVLF9y9e9dtBXpalT+nSVHsv5gsgFAAYbU9KvbnivXeo2MZx3P7LzTbfIvTsorVAkWx/TK1WmzDwLZPaIWwFhVACCuEsIU3IQSgKMV+qdp+odp+aSr2x3s1CKvjte0TGuyf3iTFAsn+6U0Sii0sqo9W9Zeo7dOcxTa2Zf/lqofF0/8SVZZVSCVGG+8919lfS1DUcCmp8x3PFdj6EMXaBSRYxb1lxL24bxuBdCwnyffivn1UUtzXDunexwLJ/mhb7t5IJgAISYKAbF9eUvO64++SsPdzr4/ic8ty71egBOdfh+prIdTn9qqc2hztkhBAsQ82ACBDgSi2nuODkiwEJFghQdg/INm3tBD2fyEBWbL15Xits295GQp0artiHzu2P0q25Yq32T4W2D5AyVA8HyY8yDHKbgsgBnsA0cMqGewj5fYAIushZKN9ZFx/XwC5FxokvUkNI7LeNhouG7wg6++FDZ3BZJ8cIcQASe9VrC+jbRTF0a+st88z2R75AaTSVeo5TT/72c9w8+bNEqEpIyMDzZs3d6VLcpUsA7IRgNG93aIa3s3ZEQbtJxeqQU0Nj/aAaT/eD6sZsBQ6BUihmKFYHIHRon4St1ottqF8i9k+FdnOI7AW+4RtNatT8RqEYgt9jpMaHSc2QrHazjlwBEP7J+7ioVEuHhyh2IOjYvtEDgU6YYs9D6KThH2Zh/yh9OTv5Qd9dKupX1WRynheBSj2QK1I9vglyfZJX8ZheN29w/COQyz2QypC1qmH49UwYG+zHW63hQTJHjgkWW8bBdHpbaMg9tEQnfpohM5ggE53r80paMgGQO8IIvcO/ztGP2RZhvt/Y1JtoTk0ZWdnq8/j4+Mxbdo0LFq0CN27dwcAHD58GG+++SaWLVvm/iqJtJDth8D0Jpe7kADo7FO1oij3gqI6smgtOdoorKWPQgorbMeAHM+Ve0HTMSlWCGGFolghFMV+WEaBIhQIexuE/bV99FEIBUIRtpFJe4CEsB06EkKxvaewhTkhBO4N7Njnwd6XfRL2EZ578x0rAMXTlTp+Lko7NC2KjULZOB1KlOwfF9Sm++ZJkv2LGdK9ZSHZBwMkQLZ/kcM+IibJjv7s6wH2w7E62xc/ZNl+uFVn+2KITgdAsh1qlWT7eX0yJEmyBwqdfXnbPEi2L4/A8VyW7Y/2dvV8EPm+80N0xdYpds6IZDucW+0+NBE9ApoPz8n2/7QOjtUcbcVfW601Z+i3yh+eIyIiogpx++G5ffv2uaUwIiIioupIc2jq06dPZdZBREREVKW5fCXKgoICfPvtt8jIyICiOJ838Itf/KLChRERERFVJS6Fpl27dmH06NG4fft2iXk17ZwmIiIiIsDFb5VPnToVw4YNw40bN6AoitPEwEREREQ1kUuh6ebNm4iNjUWDBg3cXQ8RERFRleRSaPrlL3+JxMREN5dCREREVHW5dBuV/Px8DBs2DCEhIWjTpg0MBoPT/GnTprmtQE/jdZqIiIhqtkq9jco//vEPfPnll/Dy8kJiYqLTRS8lSapRoYmIiIgIcDE0vfHGG1i8eDHi4uIgy7zYPhEREdV8LiWeoqIiDB8+nIGJiIiIag2XUs+YMWOwZcsWd9dCREREVGW5dHjOarVi+fLl+M9//oO2bduWOBF85cqVbimuuJ9++glTp07F559/DlmWMXToUKxevRp169Ytc/mFCxfiyy+/RFpaGkJCQjB48GAsWbIE/v7+bq+PiIiIajaXQtOZM2fQoUMHAMDZs2ed5hU/KdydRo4ciRs3bmD37t0wm80YN24cJk2ahE2bNpW6/PXr13H9+nX88Y9/RGRkJH744Qe88soruH79Oj799NNKqZGIiIhqLpcuOfConTt3DpGRkTh69Cg6d+4MwHYrl+eeew7/+9//EB4erqmfTz75BKNGjUJeXh70em15kZccICIiqtm0/q2vFmdyJyUlISAgQA1MANC/f3/Isozk5GTN/Tg2xoMCU2FhIbKzs50mIiIionIdnnvxxRc1LffZZ5+5VExZ0tPTUb9+fac2vV6PoKAgpKena+rj9u3bWLJkCSZNmvTA5eLj47F48WKXayUiIqKaqVwjTf7+/pomreLi4iBJ0gOn8+fPl/uHul92djaef/55REZGYtGiRQ9cdu7cucjKylKnq1evVvj9iYiIqPor10jTX//6V7e++e9//3uMHTv2gcs0a9YMoaGhyMjIcGq3WCz46aefEBoa+sD1c3Jy8Oyzz8LX1xdbt24t8U2/+5lMJphMJk31ExERUe3h0rfn3CUkJAQhISEPXS46OhqZmZk4fvw4OnXqBADYu3cvFEVBt27dylwvOzsbAwYMgMlkwvbt2+Hl5eW22omIiKh2qRYngrdu3RrPPvssJk6ciCNHjuDQoUOYMmUKXn75ZfWbc9euXUOrVq1w5MgRALbA9MwzzyAvLw9//vOfkZ2djfT0dKSnp8NqtXryxyEiIqJqyKMjTeWxceNGTJkyBf369VMvbvnee++p881mM1JTU5Gfnw8AOHHihPrNuubNmzv19f3336NJkyaPrHYiIiKq/qrFdZo8iddpIiIiqtlq1HWaiIiIiDyNoYmIiIhIA4YmIiIiIg0YmoiIiIg0YGgiIiIi0oChiYiIiEgDhiYiIiIiDRiaiIiIiDRgaCIiIiLSgKGJiIiISAOGJiIiIiINGJqIiIiINGBoIiIiItKAoYmIiIhIA4YmIiIiIg0YmoiIiIg0YGgiIiIi0oChiYiIiEgDhiYiIiIiDRiaiIiIiDRgaCIiIiLSgKGJiIiISAOGJiIiIiINGJqIiIiINGBoIiIiItKAoYmIiIhIA4YmIiIiIg0YmoiIiIg0YGgiIiIi0oChiYiIiEgDhiYiIiIiDRiaiIiIiDRgaCIiIiLSgKGJiIiISAOGJiIiIiINGJqIiIiINGBoIiIiItKAoYmIiIhIA4YmIiIiIg0YmoiIiIg0YGgiIiIi0qDahKaffvoJI0eOhJ+fHwICAjB+/Hjk5uZqWlcIgZ///OeQJAnbtm2r3EKJiIioRqo2oWnkyJFISUnB7t278e9//xtff/01Jk2apGndVatWQZKkSq6QiIiIajK9pwvQ4ty5c9i1axeOHj2Kzp07AwDef/99PPfcc/jjH/+I8PDwMtc9deoUVqxYgWPHjiEsLOxRlUxEREQ1TLUYaUpKSkJAQIAamACgf//+kGUZycnJZa6Xn5+PX/3qV/jggw8QGhqq6b0KCwuRnZ3tNBERERFVi9CUnp6O+vXrO7Xp9XoEBQUhPT29zPVmzpyJJ598EoMGDdL8XvHx8fD391eniIgIl+smIiKimsOjoSkuLg6SJD1wOn/+vEt9b9++HXv37sWqVavKtd7cuXORlZWlTlevXnXp/YmIiKhm8eg5Tb///e8xduzYBy7TrFkzhIaGIiMjw6ndYrHgp59+KvOw2969e3Hp0iUEBAQ4tQ8dOhS9evVCYmJiqeuZTCaYTCatPwIRERHVEh4NTSEhIQgJCXnoctHR0cjMzMTx48fRqVMnALZQpCgKunXrVuo6cXFxmDBhglNbmzZt8O6772LgwIEVL56IiIhqlWrx7bnWrVvj2WefxcSJE7F27VqYzWZMmTIFL7/8svrNuWvXrqFfv37YsGEDunbtitDQ0FJHoRo1aoSmTZs+6h+BiIiIqrlqcSI4AGzcuBGtWrVCv3798Nxzz6Fnz55Yt26dOt9sNiM1NRX5+fkerJKIiIhqKkkIITxdRFWWnZ0Nf39/ZGVlwc/Pz9PlEBERkZtp/VtfbUaaiIiIiDyJoYmIiIhIA4YmIiIiIg0YmoiIiIg0YGgiIiIi0oChiYiIiEgDhiYiIiIiDRiaiIiIiDRgaCIiIiLSgKGJiIiISAOGJiIiIiINGJqIiIiINGBoIiIiItKAoYmIiIhIA4YmIiIiIg0YmoiIiIg0YGgiIiIi0oChiYiIiEgDvacLqOqEEACA7OxsD1dCRERElcHxN97xN78sDE0PkZOTAwCIiIjwcCVERERUmXJycuDv71/mfEk8LFbVcoqi4Pr16/D19YUkSW7tOzs7GxEREbh69Sr8/Pzc2ndNxW1Wftxm5cPtVX7cZuXHbVZ+lbnNhBDIyclBeHg4ZLnsM5c40vQQsizjscceq9T38PPz43+acuI2Kz9us/Lh9io/brPy4zYrv8raZg8aYXLgieBEREREGjA0EREREWnA0ORBJpMJCxcuhMlk8nQp1Qa3Wflxm5UPt1f5cZuVH7dZ+VWFbcYTwYmIiIg04EgTERERkQYMTUREREQaMDQRERERacDQRERERKQBQ5OLvv76awwcOBDh4eGQJAnbtm174PKJiYmQJKnElJ6eri7z4Ycfom3btuqFu6Kjo7Fz506nfgoKCvC73/0OwcHBqFu3LoYOHYqbN29Wxo/oVp7aXjExMSX6eOWVVyrjR3S7ythmxS1duhSSJGHGjBlO7dV1HwM8t824nzlvs0WLFpWY36pVK6d+uJ+Vf5txPyv5f/PatWsYNWoUgoOD4e3tjTZt2uDYsWPqfCEEFixYgLCwMHh7e6N///64cOGCyz8HQ5OL8vLy0K5dO3zwwQflWi81NRU3btxQp/r166vzHnvsMSxduhTHjx/HsWPH8NRTT2HQoEFISUlRl5k5cyY+//xzfPLJJ9i/fz+uX7+OF1980W0/V2Xx1PYCgIkTJzr1sXz5crf8TJWtMraZw9GjR/GnP/0Jbdu2LTGvuu5jgOe2GcD97P5t9sQTTzjNP3jwoNN87mfl32YA97Pi2+zOnTvo0aMHDAYDdu7cie+++w4rVqxAYGCguszy5cvx3nvvYe3atUhOTkadOnUwYMAAFBQUuPaDCKowAGLr1q0PXGbfvn0CgLhz5065+g4MDBQfffSREEKIzMxMYTAYxCeffKLOP3funAAgkpKSylu2xzyq7SWEEH369BHTp08vf5FVjDu3WU5OjmjRooXYvXt3ie1TU/YxIR7dNhOC+9n9Fi5cKNq1a1fmfO5nJT1smwnB/ex+c+bMET179ixzvqIoIjQ0VPzhD39Q2zIzM4XJZBL/+Mc/ylu2EEIIjjQ9Yu3bt0dYWBiefvppHDp0qMzlrFYrNm/ejLy8PERHRwMAjh8/DrPZjP79+6vLtWrVCo0aNUJSUlKl1+4JFdleDhs3bkS9evUQFRWFuXPnIj8/v7LL9qiHbbPf/e53eP755532I4fauI8BFdtmDtzPnF24cAHh4eFo1qwZRo4cibS0NHUe97PybzMH7mf3bN++HZ07d8awYcNQv359dOjQAQkJCer877//Hunp6U77mb+/P7p16+byfsYb9j4iYWFhWLt2LTp37ozCwkJ89NFHiImJQXJyMjp27Kgud+bMGURHR6OgoAB169bF1q1bERkZCQBIT0+H0WhEQECAU98NGjQo8xyM6sod2wsAfvWrX6Fx48YIDw/Ht99+izlz5iA1NRWfffaZJ36sSqVlm23evBknTpzA0aNHS+2jNu1jgHu2GcD97P5t1q1bN/ztb39Dy5YtcePGDSxevBi9evXC2bNn4evry/3MhW0GcD+7f5tdvnwZH374IWJjY/H666/j6NGjmDZtGoxGI8aMGaPuSw0aNHDqu0L7mUvjU+QEGoYaS9O7d28xatQop7bCwkJx4cIFcezYMREXFyfq1asnUlJShBBCbNy4URiNxhL9dOnSRcyePdul2j3hUW2v0uzZs0cAEBcvXiz3+3uSO7ZZWlqaqF+/vjh9+rQ6//7h/pqyjwnx6LZZaWrzflaaO3fuCD8/P/XQOfez8m+z0tT2/cxgMIjo6GinZaZOnSq6d+8uhBDi0KFDAoC4fv260zLDhg0TL730UvkLFzw851Fdu3bFxYsXndqMRiOaN2+OTp06IT4+Hu3atcPq1asBAKGhoSgqKkJmZqbTOjdv3kRoaOijKttjyru9StOtWzcAKNFPTVV8mx0/fhwZGRno2LEj9Ho99Ho99u/fj/feew96vR5Wq7XW72NA+bdZaWrzflaagIAA/OxnP1OX4X5W/m1Wmtq+n4WFhTkdWQCA1q1bq4c1HfvS/d/KrMh+xtDkQadOnUJYWNgDl1EUBYWFhQCATp06wWAwYM+ePer81NRUpKWllTiPpyYq7/Yqqw8AD+2npii+zfr164czZ87g1KlT6tS5c2eMHDkSp06dgk6nq/X7GFD+bVZWH0Dt3M9Kk5ubi0uXLqnLcD8r/zYrqw+g9u5nPXr0QGpqqtMy//3vf9G4cWMAQNOmTREaGuq0n2VnZyM5Odnl/YznNLkoNzfXKfF+//33OHXqFIKCgtCoUSPMnTsX165dw4YNGwAAq1atQtOmTfHEE0+goKAAH330Efbu3Ysvv/xS7WPu3Ln4+c9/jkaNGiEnJwebNm1CYmIi/vOf/wCwncA2fvx4xMbGIigoCH5+fpg6dSqio6PRvXv3R7sByskT2+vSpUvYtGkTnnvuOQQHB+Pbb7/FzJkz0bt37zK/Nl6VuHub+fr6Iioqyuk96tSpg+DgYLW9Ou9jgGe2Gfezkv83Z82ahYEDB6Jx48a4fv06Fi5cCJ1OhxEjRgDgfubKNuN+VnKbzZw5E08++STeeecdvPTSSzhy5AjWrVuHdevWAYB6TbW33noLLVq0QNOmTTF//nyEh4dj8ODBrv0gLh3UI/XrkPdPY8aMEUIIMWbMGNGnTx91+WXLlonHH39ceHl5iaCgIBETEyP27t3r1OdvfvMb0bhxY2E0GkVISIjo16+f+PLLL52WuXv3rnj11VdFYGCg8PHxEUOGDBE3btyo7B+3wjyxvdLS0kTv3r1FUFCQMJlMonnz5uK1114TWVlZj+JHrrDK2Gb3K+38nOq6jwnhmW3G/azkNhs+fLgICwsTRqNRNGzYUAwfPrzEeTfcz8q3zbiflf5/8/PPPxdRUVHCZDKJVq1aiXXr1jnNVxRFzJ8/XzRo0ECYTCbRr18/kZqa6vLPIQkhhGtxi4iIiKj24DlNRERERBowNBERERFpwNBEREREpAFDExEREZEGDE1EREREGjA0EREREWnA0ERERESkAUMTERERkQYMTUREREQaMDQRERERacDQRETVXkxMDGbMmOHpMlSu1vPjjz+ifv36uHLlittrut/LL7+MFStWVPr7ENUkDE1EpMnatWvh6+sLi8WituXm5sJgMCAmJsZp2cTEREiShEuXLj3iKh8td4e1t99+G4MGDUKTJk3c1mdZ5s2bh7fffhtZWVmV/l5ENQVDExFp0rdvX+Tm5uLYsWNq24EDBxAaGork5GQUFBSo7fv27UOjRo3w+OOPe6LUaik/Px9//vOfMX78+EfyflFRUXj88cfx97///ZG8H1FNwNBERJq0bNkSYWFhSExMVNsSExMxaNAgNG3aFIcPH3Zq79u3LwBg165d6NmzJwICAhAcHIwXXnjBaQRq3bp1CA8Ph6IoTu83aNAg/OY3vwEAKIqC+Ph4NG3aFN7e3mjXrh0+/fTTMmvVsnxMTAymTZuG2bNnIygoCKGhoVi0aJHTMjk5ORg5ciTq1KmDsLAwvPvuu+ro0tixY7F//36sXr0akiRBkiSnw2qKojyw7/t98cUXMJlM6N69u1P7wYMHYTAYnELplStXIEkSfvjhB/X5P//5T/Tu3Rve3t7o0qUL0tLScODAAXTv3h0+Pj7o168fMjMznfoeOHAgNm/e/MC6iOgehiYi0qxv377Yt2+f+nrfvn2IiYlBnz591Pa7d+8iOTlZDU15eXmIjY3FsWPHsGfPHsiyjCFDhqghadiwYfjxxx+d+v3pp5+wa9cujBw5EgAQHx+PDRs2YO3atUhJScHMmTMxatQo7N+/v9Q6tS6/fv161KlTB8nJyVi+fDnefPNN7N69W50fGxuLQ4cOYfv27di9ezcOHDiAEydOAABWr16N6OhoTJw4ETdu3MCNGzcQERGhue/7HThwAJ06dSrRfurUKbRu3RpeXl5q28mTJxEYGIjGjRvj9OnTAIAPP/wQ77zzDr755hvcvHkTo0aNwtKlS7FmzRrs27cPp0+fxl//+lenvrt27YojR46gsLCwzLqIqBhBRKRRQkKCqFOnjjCbzSI7O1vo9XqRkZEhNm3aJHr37i2EEGLPnj0CgPjhhx9K7ePWrVsCgDhz5ozaNmjQIPGb3/xGff2nP/1JhIeHC6vVKgoKCoSPj4/45ptvnPoZP368GDFihBBCiD59+ojp06cLIYSm5R3r9OzZ02mZLl26iDlz5gghhMjOzhYGg0F88skn6vzMzEzh4+Ojvlfx9y3uYX2X5v5t4DBhwgQxevRop7YFCxaImJgYIYQQixYtEkFBQeL27dvq/FGjRokmTZqIvLw8te3ZZ58Vs2fPdurn9OnTAoC4cuVKmXUR0T0caSIizWJiYpCXl4ejR4/iwIED+NnPfoaQkBD06dNHPa8pMTERzZo1Q6NGjQAAFy5cwIgRI9CsWTP4+fmpJzmnpaWp/Y4cORL//Oc/1RGPjRs34uWXX4Ysy7h48SLy8/Px9NNPo27duuq0YcOGUk80L8/ybdu2dXodFhaGjIwMAMDly5dhNpvRtWtXdb6/vz9atmypaVs9qO/S3L1712k0yeHUqVNo3769U9vJkyfVttOnT2PIkCEIDg5W56elpWH48OHw8fFxamvatKlTP97e3gBs51MR0cPpPV0AEVUfzZs3x2OPPYZ9+/bhzp076NOnDwAgPDwcERER+Oabb7Bv3z489dRT6joDBw5E48aNkZCQoJ67FBUVhaKiIqdlhBDYsWMHunTpggMHDuDdd98FYPuGHgDs2LEDDRs2dKrHZDKVqLE8yxsMBqfXkiSVOLfKVeXtu169erhz545Tm9VqxdmzZ9GhQwen9hMnTmDo0KEAbKFq7ty5TvNPnz6NmTNnqq8LCgqQmpqKdu3aOS33008/AQBCQkI0/lREtRtDExGVS9++fZGYmIg7d+7gtddeU9t79+6NnTt34siRI5g8eTIA23WHUlNTkZCQgF69egGwndh8Py8vL7z44ovYuHEjLl68iJYtW6Jjx44AgMjISJhMJqSlpakh7UHKu3xZmjVrBoPBgKNHj6qjZllZWfjvf/+L3r17AwCMRiOsVqvL71Fchw4dSnyTLTU1FQUFBQgPD1fbkpKScO3aNbRv3x7Z2dm4cuWKU6j6/vvvkZWV5dR25swZCCHQpk0bp/7Pnj2Lxx57DPXq1XPLz0BU0zE0EVG59O3bF7/73e9gNpudQkmfPn0wZcoUFBUVqSeBBwYGIjg4GOvWrUNYWBjS0tIQFxdXar8jR47ECy+8gJSUFIwaNUpt9/X1xaxZszBz5kwoioKePXsiKysLhw4dgp+fH8aMGePUT3mXL4uvry/GjBmD1157DUFBQahfvz4WLlwIWZYhSRIAoEmTJkhOTsaVK1dQt25dBAUFQZZdO+thwIABmDt3Lu7cuYPAwEAAtlEkAHj//fcxbdo0XLx4EdOmTQMAFBUV4fTp09DpdIiKilL7OXXqFIKCgtC4cWOntscffxx169Z1es8DBw7gmWeecaleotqI5zQRUbn07dsXd+/eRfPmzdGgQQO1vU+fPsjJyVEvTQAAsixj8+bNOH78OKKiojBz5kz84Q9/KLXfp556CkFBQUhNTcWvfvUrp3lLlizB/PnzER8fj9atW+PZZ5/Fjh07Spyj4+ryZVm5ciWio6PxwgsvoH///ujRo4fTN9lmzZoFnU6HyMhIhISEOJ2nVV5t2rRBx44d8fHHH6ttp06dwoABA3D58mW0adMGb7zxBhYvXgw/Pz+89957OH36NFq2bOl0LtTp06dLHM47ffp0iUNzBQUF2LZtGyZOnOhyzUS1jSSEEJ4ugoioOsjLy0PDhg2xYsWKSrkI5Y4dO/Daa6/h7NmzkGUZAwYMQJcuXfDWW2+5/b0+/PBDbN26FV9++aXb+yaqqXh4joioDCdPnsT58+fRtWtXZGVl4c033wRgu/BmZXj++edx4cIFXLt2DRERETh9+rR6gU93MxgMeP/99yulb6KaiiNNRERlOHnyJCZMmIDU1FQYjUZ06tQJK1euLHFCdWVIT09HWFgYUlJSEBkZWenvR0QPx9BEREREpAFPBCciIiLSgKGJiIiISAOGJiIiIiINGJqIiIiINGBoIiIiItKAoYmIiIhIA4YmIiIiIg0YmoiIiIg0YGgiIiIi0oChiYiIiEiD/wfUR0SZ6wfJywAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 600x1000 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "calculate_FOM(sim_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23536beb",
   "metadata": {},
   "source": [
    "## Simulation of the Optical Hybrid -- Signal Input "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c51e262",
   "metadata": {},
   "source": [
    "Finally, we simulate the case where the input signal is from the bottom signal port. To do so, we only need to define a ModeSource at the signal port and update the previous simulation since other settings of the simulation is identical."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "fc12ac48",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:58:58.072765Z",
     "iopub.status.busy": "2024-06-11T17:58:58.072464Z",
     "iopub.status.idle": "2024-06-11T17:58:58.417876Z",
     "shell.execute_reply": "2024-06-11T17:58:58.417211Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define a mode source at the signal input waveguide at the bottom MMI\n",
    "mode_source_signal = td.ModeSource(\n",
    "    center=(-0.5, -21, 0),\n",
    "    size=(2 * width, 0, 4 * thickness),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# copy simulation and change the source\n",
    "sim = sim.copy(update={\"sources\": [mode_source_signal]})\n",
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "cfcaf425",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T17:58:58.420617Z",
     "iopub.status.busy": "2024-06-11T17:58:58.420385Z",
     "iopub.status.idle": "2024-06-11T18:02:18.194770Z",
     "shell.execute_reply": "2024-06-11T18:02:18.193910Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:58:58 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'optical_hybrid_signal_input'</span> with task_id           \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:58:58 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'optical_hybrid_signal_input'\u001b[0m with task_id           \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3d</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">a7-43d4-a23e-5dbf6da5911d'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=417819;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=602032;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=417819;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=503318;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=417819;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[32m-2e992dcf-3d\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=417819;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[32ma7-43d4-a23e-5dbf6da5911d'\u001b[0m\u001b]8;;\u001b\\.                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c45737b5a1b140ab9baa36e95d66f294",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:59:02 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:59:02 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6f751fb76078495490c3fb473adefc30",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:59:06 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:59:06 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:59:08 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.927</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to   \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>get the billed FlexCredit cost after a simulation run.            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:59:08 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.927\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to   \n",
       "\u001b[2;36m              \u001b[0mget the billed FlexCredit cost after a simulation run.            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:59:09 CEST </span>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m19:59:09 CEST\u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a8bbd831c17142d4b6697d03431c92e2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">20:01:53 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m20:01:53 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m60\u001b[0m%, exiting.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">20:01:54 CEST </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m20:01:54 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5f3ae735d110444fb78da72b7282317e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">20:02:00 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m20:02:00 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">20:02:01 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3d</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">a7-43d4-a23e-5dbf6da5911d'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m20:02:01 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=650143;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=980598;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=650143;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=501596;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=650143;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[4;34m-2e992dcf-3d\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=650143;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2e992dcf-3da7-43d4-a23e-5dbf6da5911d\u001b\\\u001b[4;34ma7-43d4-a23e-5dbf6da5911d'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9384b40709a94e38b4cb3cfadc320d8f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">20:02:18 CEST </span>loading simulation from data/simulation_data.hdf5                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m20:02:18 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/simulation_data.hdf5                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"optical_hybrid_signal_input\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c35b8bb",
   "metadata": {},
   "source": [
    "Visualize the field intensity distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "03f76087",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T18:02:23.125765Z",
     "iopub.status.busy": "2024-06-11T18:02:23.125303Z",
     "iopub.status.idle": "2024-06-11T18:02:26.702305Z",
     "shell.execute_reply": "2024-06-11T18:02:26.701475Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data.plot_field(field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", vmax=1500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "312ceacd",
   "metadata": {},
   "source": [
    "Calculate those FOMs and plot the results. Since the signal port is the left waveguide of the bottom MMI, CMRR$_I$ and CMRR$_Q$ are expected to be slghtly different. The device performance according to the insertion loss, CMRR, and Imbalance is comparable to the case with input from the LO port. In addition, from the phase simulation, we know the phase error is going to be small too. This means the overall design of the 90 degree optical hybrid works very well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "46801e77",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-06-11T18:02:26.705336Z",
     "iopub.status.busy": "2024-06-11T18:02:26.704878Z",
     "iopub.status.idle": "2024-06-11T18:02:27.553177Z",
     "shell.execute_reply": "2024-06-11T18:02:27.552311Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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   "source": [
    "calculate_FOM(sim_data)"
   ]
  },
  {
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   "execution_count": null,
   "id": "33b24fec",
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 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to model a 90 degree optical hybrid in Tidy3D FDTD.",
  "feature_image": "./img/optical_hybrid_schematic.png",
  "features": [
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  ],
  "kernelspec": {
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   "language": "python",
   "name": "python3"
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  "keywords": "silicon photonics, PIC, integrated photonics, optical hybrid, MMI, Tidy3D, FDTD",
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   "nbconvert_exporter": "python",
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