{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6d5d7470",
   "metadata": {},
   "source": [
    "# Grating Coupler: a Tidy3D simulation setup\n",
    "\n",
    "> In this notebook, we will set up a baseline simulation for a dual-layer grating coupler. This device is designed to efficiently couple light from an optical fiber to a photonic integrated circuit. We will define the geometry, materials, and all the necessary components for a Tidy3D simulation. This initial setup will serve as the starting point for our optimization in the subsequent notebooks.\n",
    "\n",
    "## Initial Grating Design\n",
    "\n",
    "We start by selecting a symmetric set of widths and gaps for both the silicon and silicon nitride layers. These values satisfy the minimum feature rules and provide a sensible baseline that couples light into the waveguide."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e8fd7d9",
   "metadata": {},
   "source": [
    "## Defining Our Initial Guess: A Uniform Grating\n",
    "\n",
    "Before we can optimize, we need a starting point. A common first approach is to create a periodic, uniform grating where every tooth and gap is identical. We choose a 50% duty cycle and set the period based on effective index estimates around the 1.55 µm band. This baseline is physically reasonable but, as we will see, will be very far from optimal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e634cede",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "from setup import get_mode_monitor_power, make_simulation, num_elements\n",
    "from tidy3d import web"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7f6fef32",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "initial_width_si = 0.45\n",
    "initial_gap_si = 0.55\n",
    "initial_width_sin = 0.35\n",
    "initial_gap_sin = 0.65\n",
    "\n",
    "widths_si = np.full(num_elements, initial_width_si)\n",
    "gaps_si = np.full(num_elements, initial_gap_si)\n",
    "widths_sin = np.full(num_elements, initial_width_sin)\n",
    "gaps_sin = np.full(num_elements, initial_gap_sin)\n",
    "sim = make_simulation(\n",
    "    widths_si,\n",
    "    gaps_si,\n",
    "    widths_sin,\n",
    "    gaps_sin,\n",
    "    include_field_monitor=True,\n",
    ")\n",
    "\n",
    "ax = sim.plot(y=0)\n",
    "ax.set_title(\"Cross-section of the initial grating geometry (y=0)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79d476d7",
   "metadata": {},
   "source": [
    "## Running the Simulation\n",
    "\n",
    "We'll use `web.run` to submit the job to Tidy3D, and get some initial results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a13094fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:19:25 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'gc_setup'</span> with task_id                              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-eab86622-9b02-4925-970d-bf57348b3ca4'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:19:25 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'gc_setup'\u001b[0m with task_id                              \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-eab86622-9b02-4925-970d-bf57348b3ca4'\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-eab86622-9b02-4925-970d-bf57348b3ca4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b02-4925-970d-bf57348b3ca4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">02-4925-970d-bf57348b3ca4'</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=861366;https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b02-4925-970d-bf57348b3ca4\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=363908;https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b02-4925-970d-bf57348b3ca4\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=861366;https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b02-4925-970d-bf57348b3ca4\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=293143;https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b02-4925-970d-bf57348b3ca4\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=861366;https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b02-4925-970d-bf57348b3ca4\u001b\\\u001b[32m-eab86622-9b\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=861366;https://tidy3d.simulation.cloud/workbench?taskId=fdve-eab86622-9b02-4925-970d-bf57348b3ca4\u001b\\\u001b[32m02-4925-970d-bf57348b3ca4'\u001b[0m\u001b]8;;\u001b\\.                                       \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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=935049;https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "91fe7e07323740d1be69a4bbd1f183e0",
       "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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:19:29 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:19:29 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.025\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \n"
      ]
     },
     "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\">13:19:30 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:19:30 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "81aac7fdc067407fbf992620dc05cc34",
       "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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:19:32 CEST </span>loading simulation from simulation_data.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:19:32 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data = web.run(sim, task_name=\"gc_setup\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0bcd72b",
   "metadata": {},
   "source": [
    "## Visualizing the Results\n",
    "\n",
    "With the simulation complete, we analyze the mode monitor spectrum and inspect the field distribution to understand how light couples into the device."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "107ca2a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "power_da = get_mode_monitor_power(sim_data)\n",
    "freqs = power_da.coords[\"f\"].values\n",
    "wavelengths = td.C_0 / freqs\n",
    "power = np.squeeze(power_da.data)\n",
    "power_db = 10 * np.log10(power)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f57eed0a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dPxrO/qPvovGaB/W73x2yf+HkP7+fLhERhV0yc7MMyf5VfxR7JrMdS23esWPHVLMmEf0P+/gQERGRbjDxISIiIt1g4kNERES6wT4+REREpBus8SEiIiLdYOJDREREusEJDIOQqd9lqnuZuCw0U68TERGR9UnPHVlSSCYvDbrwcEBMfIKQpCfoqtZERERkG+7du6dmNA8OE58gjFPUS8HJVO7mrEmSNW9kKvifZaL0Z1jO1sFyth6WtXWwnG2/nN++fasqLgIuNfMjTHyCMDZvSdJj7sTn8+fP6pz8n8pyWM7WwXK2Hpa1dbCc7aecf9VNhVeXiIiIdIOJDxEREekGEx8iIiLSDSY+REREpBtMfIiIiEg3mPgQERGRbjDxISIiIt1g4kNERES6YTOJz5AhQ5A7d264uLggatSowU5aFHRbsmSJ1WMlIiKisMlmZm7+8uULqlWrBi8vL8yaNSvY4+bMmYOSJUuangeXJBEREZH+2EziM2DAAPVz7ty5Pz1OEp3YsWNbKSoiIiKyJTaT+IRUmzZt0LRpUyRNmhQtW7ZEo0aNfrpuh6+vr9oCLnJmXE9ENnORcxkMBrOek77HcrYOlrP1sKytg+Vs++Uc0nPaVeIzcOBAFC5cWPUD2rZtG1q3bo3379+jXbt2wb5n2LBhptqkgGT1WFlIzVzO3bsCdwdXdcG5AJ7lyBf/zZs3LGcLYzlbD8vaOljOtl/O7969C9Fx4Qzy2zXSo0cPjBgx4qfHXLp0CalTpzY9l6auDh064PXr1788f9++fVWfn3v37v1WjY8sa//q1Suzrc4uFzqndxU8ffsCxTPmRbWcpVEoXS44RrCrvDNMkLKWpDVmzJj8x8uCWM7Ww7K2Dpaz7Zez3L89PDxUYvWz+7emd97OnTujYcOGPz1GmqxCK2fOnBg0aJBKbCJGjPjDY2T/j16TC2KuiyIJT5RIrnjw6gk2ntqttmiRo6Ji9qKolqs0MidK89PmOPo9UpbmvH70Yyxn62FZWwfL2bbLOaTn0zTxkYxPNks5ffq0yv6CS3qsJXbUmNjRewH2nT2CXdePYtWxbXj29iVm716htuSxEqFqzpKokrMkEkSPo2msRERE9sxm2lru3r2Lly9fqp9+fn4qqRHJkydH5MiRsX79ejx58gS5cuWCs7MzfHx8MHToUHTp0gVhJcNNHScp8mfKBe/KbbH38jEsP7wZW07vwfUndzB83TS1eaXIgmq5SqFs1sJwixRZ67CJiIjsis0kPtJfZ968eabnWbJkUT937dqFggULwtHREZMnT0bHjh1VpylJiMaOHYtmzZohrHGI4IDC6bzU9u7TB2w8tQvLj2zGwasncejaKbX1WjIGJTLlU/2BCqb9S72HiIiI/oymnZvDIukc5e7u/svOUaHp0PX06VN4enoG2w55/+VjrD66DcsOb8K1x7dN+2NE8UClHMVRNWcpZEyYiv2B/rCc6c+xnK2HZW0dLGfbL+eQ3r9ZjRCGxI8WG3+XrI+2Jerh7N0rWH54E1Yf98Hzd68wY+dStaWInVg1hVX+q4Q6noiIiEKONT5hqMbnR776fcPui0ew4shmbD2zD5+//m/ovdT65E6ZVdUClc1SSI0aI/7VZi0sZ+thWVsHy9k6WONDvyRz/RTLkEdtbz+9x4aTO1WnaOkHdODKCbX1WjwKJTLlVzVBBdKwPxAREVFweIe0ITLKq3ae8mq79+IRVh3dqpIgGRW25riP2mK6RUOl7MVVEpQ+QUr2ByIiIgqAiY+Nkvl+2pdqiHYlG+D0nUuqKWz1MR81P9D0nUvUlipu0v/ND/RXScT18NQ6ZCIiIs2xj08Y7+PzO6Q/0K4Lh7D88BZsO7sPvt++qP1S65MnZTZVC1QmS0FEdrbf/kBsp7cOlrP1sKytg+VsHezjQ2bvD1Q8Yz61vfn47n/9gY5sweFrp7D/ynG19Vg8CqUzF1CdovOnyYEI4SNoHTYREZHVMPGxU+4uUVAnbwW13X3+ECuPbsGKI1tw48ldrDy6VW2x3GOoYfHVcpZE2vgptA6ZiIjI4pj46EDCGHHRsXRjdCjVCKduX1BNYWuOb8OTN88xxWeh2tLFT2HqD+TpHl3rkImIiCyCiY+OSF+frEnSq21AtfbYef4Qlh/ZhG1n9+PC/WtqG7RqMgqmzan6A8kQeRcnZ63DJiIiMhsmPjrl5OCIkpnzq+3VhzdYd2IHlh3ahBO3zmPnhUNqi+zsgnJZi6C6V2nkTJaJHf6IiMjmMfEheLi6o0H+ymq7+eSu6hAtw+NlrqDFB9erTZrLpEN09VylkDhmfK1DJiIiChUOZ7ej4ezmJPEevn5aTZC4/uQOvP/80fTaX8kyonqu0iifvaiaVDEssbVytlUsZ+thWVsHy9k6OJydwiz5QspaYLINqdkZW07vUUnQnktHcfTGWbX1WTYOpTIXUEkQh8YTEZEtYOJDvyQdnGXYu2yPXz9Tw+KXHd6Eq49uYfWxbWqL7R5TdYiW/kCygjwREVFYxMSHfkvsqDHRtkQ9tCleVy2VIR2iZWj84zfPMHHrfLVlS5IeNbzKoGKOYmGuKYyIiPSNiQ+Femh8lsRp1da/ajv4nNuPpYc2YueFw2pkmGx9l49Xs0TXzF0WeVNlZ7s5ERFpjokP/bGIjk4om7Ww2p6+eaFmiV5yaCOuPLyJVce2qS1etNiqL1BNrzJIFDOe1iETEZFO8U9wMiuZ9blVsTrY7b0QW3rOQcMCVdTyGQ9ePsa4TbOR07sKqoxrozpKf/zyWetwiYhIZ1jjQxZrCsucKI3apClsy5m9WHJwgxoVduDKCbX1WjIalf4qjtp5yiNTwtTqPURERJbExIcsztkxIipmL6a2+y8fqw7RSw5tUIunzt+7Wm1p4yVH7TzlUCVnSTWhIhERkSWwqYusKn602OhUpjEOD1yB5R0molKO4ojo4ISLD66reYEydy+HVrP6Yv/l42qiKyIiInNijQ9pQkZ45UudQ22vP7zFyqNbsejAOrVQqnFuIFkaQ2qBZGh8LPcYWodMRER2gDU+pLmorm5oUqgatveej60956J+/kqI4uyK28/uY+iaKcjaswIaTemOHecPws/fT+twiYjIhrHGh8IM6dycKVFqtfWr0g7rT+zAwv1rcezmOWw+s0dtMixeaoFq5y6HOB6eWodMREQ2hokPhUmuESOpiQ9lu/zwJhbtX4flRzapYfGj1s/A2I2zUSxDHtTNWxGF0uXkOmFERBQiTHwozEsdNykGVu+AXpVaYePJXViwb41aOV6GyMsmtUD18lZQw+JjRPHQOlwiIgrDmPiQTQ2Ll+HusskCqf/tW6sWS5VaoOHrpmH0hpkomSk/ymUoiLIxi2odLhERhUHs3Ew2KWWcJKoW6NTwdZjQsC+yJ82Ab/5+2HBqF1rM74d8A2ph2vbFePXhjdahEhFRGMLEh2xaJCdntQbYhm4zsLPPAjTIVwmuTpFw8+ld9FvxD7L0KI/28wbh1O2LWodKRERhAJu6yG6kjZ8Cw2p1RfO81bH/9inM37dazQskq8bLlilRGrV2WMXsRVXCRERE+sMaH7LLEWH18lVU8wJJTVDVnCXh5OCIM3cuoeP8waoWqP+KCWqeICIi0hcmPmTX8wJJ359Jjfrj5LB16F2ptVoy4/XHt5i6fRG8+lZDnUmd1MSIXB6DiEgf2NRFuiDD3P8uUR+ti9VRic6cPSux68Jh9Vg2WR6jYYHKqJW7HNxdomgdLhERWQhrfEhXZKLD4hnzYfHf43FwwDK0KFITbpEiq2Yvaf7K3KMcui0cgUsPbmgdKhERWQATH9KtpLESYkA1GRK/HqPq9ECaeMnw6ctn1Sm60KA6qDy2NTae2oVvft+0DpWIiMyETV2ke8bO0HXzVlAzQs/atRybT+/Bwasn1SYzQ0szWJ08FRAtsrvW4RIR0R9g4kMUoDO0V4osanv46inm712F+fvWqJmhh6z+F2M2zELlv4qjaaHqaug8ERHZHjZ1Ef1AXA9P9KjQEieHrcX4+n2QIUFKfP7qi0UH1qPw4HqqGUxqhfz8/bQOlYiIfgNrfIh+sT6YrBBfw6sMjt44o5rBNp7abWoGSxA9DhoVqIo6ectzNBgRkQ1g4kMUwmawnMkzq+3ByyeYt3cV/tu3BvdePMLAVRMxeuNMtXSGNIMlj51I63CJiCgYbOoi+k3xosVCr4qtcGLYWoyt1wup4ybDR99PmLtnJfL2r4FaEzuoOYIMBoPWoRIRURCs8SEKJVnvq3ae8mrSwwNXTmDGzqXYdm6/SnpkSxE7EZoWroGqOUupkWNERKQ91vgQmaEZLG/q7JjXehQODVyO5oVrIrKzC649voPui0Yia8/yGLRqkmoiIyIibTHxITIjWfpiYPUOODVsPQZX76iev/n4DpO3/Ye/+lRGi5l9cOLmea3DJCLSLSY+RBYQJZKrauY6MGAp5rUaiTypsqmh72uPb0eZkU1RekQTrDnmg6+cFZqIyKrYx4fIwmuDlciUX20X7l9T/YBWHd2Kk7cuoOUsb8Rd5YlGBauqWaM9XDkrNBGRpbHGh8hK0sVPoSZDPDF0LbqUbapWjJcZomVW6Kw9K6j+QNcf39E6TCIiu8bEh8jKYrpFU4mPJED/NPBWCZEsjipzA8lw+DqTOmHvpaMcDk9EZAFs6iLSSERHJzUjtEx8eODqSczYsUQNh99x/qDaZH6g5kVqoPJfJdQM0kRE9OdY40MUFobDp8qmhsMf6L8UjQtWhUvESLj88AY6LRiKbL0qYuT6GXj65oXWoRIR2TwmPkRhSNJYCTG0ZhecGrYOfSv/jXjRYuPFu1cYu3EWsveuiHZzB+L8vatah0lEZLOY+BCFQbLgaevidXBk0ApMbzYE2ZNmwJdvX7Hs8CYUHVJfrQ6/9cxe+Pv7ax0qEZFNYR8fojDMIYIDymcroraTt85j+o6lWH9yp2l1+CQx46NJ4eqo5VUWrs4uWodLRBTmscaHyEZkTZIeU5sOwtHBq9CmeF1VK3Tr2X30WToWWXqWx4CVE3H/5WOtwyQiCtOY+BDZ4Orw3pXb4uSwdRhWswuSeibA20/vMcVnIXL2qYLmM3pzWQwiomAw8SGyUbLiu8z6vL//UsxvPRp5U2VXy2KsO7FDLYtRZkRTtUTGNy6LQURkwj4+RDYufPjwKJ4xr9pkWYzpO5Zg9bFtOHHrvFoUNZ5HLDQuVE0tiyHNY0REesYaHyI7IrNAy2zQx4esQecyTRA9igcevHqCQasmqX5AvZaMxq2n97QOk4hIM0x8iOyQp3t0dC3XDCeGrsHYer3VLNAffT9h9u4VyN2vOhr82xUHrpzgshhEpDts6iKyY7LURe085VArd1nsu3wM03YsUcthbD27T20ZEqREsyI1UTF7MTg5OGodLhGRxbHGh0gny2LkT/MXFrYdi339l6B+/kqI5BgR5+5dVbNBZ+9VEeM3zcGL96+1DpWIyKKY+BDpTIrYiTGydnecHL4OvSu2Rmz3mHj69gWGr5uGbD0roOvC4bj66JbWYRIRWQQTHyKd8nB1x98l6+PokFWY3Kg/MiZMhc9ffbFg3xrkH1ALdSZ1Us1j7AdERPaEfXyIdE769lTJWRKV/yqBw9dPY9r2xar/j/QFki1tvORoUbSW6gcU0dFJ63CJiP4Ia3yIyNQPyCtFFsxtNRIHByxD44JVEcnJGRcfXEf7eYOQo3cl1Q/o5fs3WodKRGTfic/t27fRpEkTJEmSBJEiRUKyZMnQr18/fPnyJdBxZ8+eRb58+eDs7IwECRJg5MiRmsVMZMuSeCbA0JpdcGrYOvSu1BpxogbsB1QePZeMxp0XD7UOk4jIPpu6Ll++DH9/f0ybNg3JkyfH+fPn0axZM3z48AGjR49Wx7x9+xbFixdH0aJFMXXqVJw7dw6NGzdG1KhR0bx5c60/ApFNiurqhr9L1EeLIrWw/sQOTN2+SI0Em7d3FebvXY0SmfKhdbE6yJEso6oxIiIK68IZbLTn4qhRozBlyhTcvHlTPZfHvXv3xuPHj+Hk9L9+CD169MCaNWtU4hRSkkC5u7vjzZs3cHNzM1u8krg9ffoUnp6eaokBsgyWs2XJPxcHrp7EVJ+F2H7+oGl/tiTp0apYbZTKXAARwkfQNEZ7w++0dbCcbb+cQ3r/tokanx+RDxYtWjTT80OHDiF//vympEeUKFECI0aMwKtXr+Dh4fHD8/j6+qotYMEZL45s5iLnkpuGOc9J32M5W17uFFmQK1kmHLl4EitO+2Dl0S1qXbCm03shUYy4qnaoulcZuDg5ax2qXeB32jpYzrZfziE9p00mPtevX8fEiRNNzVxCanqkD1BAsWLFMr0WXOIzbNgwDBgw4Lv9z549w+fPn816QSRZkwvOvyYsh+VsvXKO5hgFXYs2QtPcVbD06CYsPbYZd54/RK+lYzBq/QxUz1EKNf4qjWiu7lqHa9P4nbYOlrPtl/O7d+/CflOXNEVJjczPXLp0CalTpzY9f/DgAQoUKICCBQti5syZpv3Sv0cSH+kHZHTx4kWkS5dO/UyTJk2Ia3ykY7TUEpm7qUuSqZgxY/J/KgtiOWtXzrIW2JJDG9Xq8Hf/r+OzLJlRM3dZtCxSCwljxNU4atvE77R1sJxtv5zl/i2VHGG6qatz585o2LDhT49JmjSp6fHDhw9RqFAh5M6dG9OnTw90XOzYsfHkyZNA+4zP5bXgRIwYUW1ByQUx90WRzp+WOC8FxnLWppwjR3JF08LV0bBAZWw8tRv/+izEmTuXMHfPSjUpYvlsRdCmeF2kT5BS69BtDr/T1sFytu1yDun5NE18JOOTLSSkpkeSnmzZsmHOnDnffUAvLy/Vufnr169wdPzfYos+Pj5IlSpVsM1cRGR+DhEcUCF7UZXoSEfoyVsXYNfFw1h9bJvaCqXNpWaMljmDOBKMiKzNJtJaSXqkaSthwoSqX49Uk0m/HdmMateurTo2y3w/Fy5cwNKlS/HPP/+gU6dOmsZOpFeS1ORNlQ2L243H9t7zUSlHcYQPF14lQZXHtka5Uc2x7ex+LolBRFZlE52bpeZGOjTLFj9+/ECvGf/RlCFs27ZtQ5s2bVStUIwYMdC3b1/O4UMUBkjz1pQmA9GjfAvVBLbk4AYcv3kO9f/tgjTxkqF9yYYol60wh8ITkcXZ7Dw+lsJ5fGwby9k2yvnJm+eqE/TcPavwwfej2pfUMwHalWyg1g1zjGATf5NZBb/T1sFy1s88Pry6RGR1sdxjwLtyW5wYugZdyzWDh6sbbj69hw7zB8PLu6rqEO37NfCSNERE5sDEh4g0XRKjc5kmODZktUqEYrpFw/2Xj9Fj8Sh49a2K2btX4PPX/z/dBBHRn2LiQ0Sai+zsqoa6Hx28CoNrdFKLoj589RS9loxGrj5VMXPXMiZARGQWTHyIKMyI5OSMpoWq49CgFRhWswvienji8Ztn6LN0LJvAiMgsmPgQUZgjMz43KlgVhwauwPBaXVUC9Oj1M9UElrtfdSzcvxZf/b5pHSYR2SAmPkQUZkV0dELDAlVUAjSkRmfVKfrBy8fo/N8w5OtfE6uObuWikkT0W5j4EJFNJEBNClXD4UEr0L9qO0SP4oHbz+6j9ex+KDqkPidCJKIQY+JDRDbVB6hl0do4OmilmgwxirMrLj64riZCLD+qOY5cP611iEQUxjHxISKb4+rsgg6lG+HokFVqNJj0CTp28xwqjG6JhlO64eqjW1qHSERhFBMfIrJZHq7uav4faQKrl6+iWvJiy5m9KDiwDrouHK5miCYiCoiJDxHZvNhRY2JUnR7Y5f0fSmbKD3+DPxbsWwOvvtUwduNsfPzyWesQiSiMYOJDRHYjZZwkmNtqJNZ2mYpsSdLjo+8njFw/HXn7VceKI5s5AoyImPgQkf3JmTwzNnSbgalNByF+tNhqFui2cwagzMimalV4ItIvJj5EZJfChQuHitmLYV//JehVsRVcI7rg1O2LKDuyGf6eO5D9f4h0iokPEdn9EPh2JRvg8KDlqJW7nNq3/PAm5OlXHf9uW4gv375qHSIRWRETHyLShZhu0TGufm9s6j4LWRKnxfvPHzFw1UQUHlQX+y8f1zo8IrISJj5EpCtZk6TDxm4zMb5+H8SI4oHrT+6g6vi2aDO7H56+eaF1eERkYUx8iEh3wocPj5q5y+LAgGVoVKCq6g+08uhW5O1fA7N3r4Cfv5/WIRKRhTDxISLdcneJgmG1umBzj9nImDA13n56j15LRqPcqOa49OC61uERkQUw8SEi3cucKA0295iFoTW7qPW/Tt66gGJDGmD42qn4/NVX6/CIyIyY+BARAWq5i8YFq2Jvv8UolakAvvn7YfzmuSgyuB4OXTuldXhEZCZMfIiIAojj4Yk5rUZgVoth8HSLjhtP7qLSmFaqCeyD7yetwyOiP8TEh4joB8pkKaQmP6ybt4J6Lp2eZej7wasntQ6NiP4AEx8iop90fh5dtyeWtvsH8Txi4c7zB6g8tjVrf4hsGBMfIqJfKJA2J3b3XRSo9qfo4Ho4eeu81qER0W9i4kNEFAJRIrmq2p8l7f5BnKgxcevZfZQb1QKj1s/AV79vWodHRNZKfHx9OdSTiPSjYNqc2OW9EJVyFFcTHY7ZOAvlRzVXnaCJyA4Tn82bN6NBgwZImjQpHB0d4eLiAjc3NxQoUABDhgzBw4cPLRMpEVEYEdXVDVOaDFSb9AOSVd+LDqmPxQc3wGAwaB0eEZkj8Vm9ejVSpkyJxo0bw8HBAd27d8eqVauwdetWzJw5UyU+27dvVwlRy5Yt8ezZs5CemojIJkmtz84+/yFvquz49OUzOs4fjNaz+6kZoIkobApnCOGfJ15eXujTpw9KlSql1rkJzoMHDzBx4kTEihULHTt2hK15+/Yt3N3d8ebNG1WTZS7+/v54+vQpPD09f1p+9GdYztbBcg5Mmrwmb/sPI9ZNV48TxoiLqU0GqQVR/xTL2jpYzrZfziG9fzuE9ISHDh0K0XHx4sXD8OHDQ3paIiK7mPW5XckGyJ0yK1rO9Mbd5w9Vv5/elVqjZdHaahFUIgobmNYSEZlJ9qQZsKPPApTLWkQteTFg5UQ0ntoDbz6+0zo0Igpt4nPt2jWsXLkSt27dUs83btyI/PnzI0eOHKpzMzv2EZGeSWfn6c0GY3itrnBycMTmM3tQfGhDnLt7RevQiOh3Ex/p4Jw2bVrUrl0badKkwfz581G1alW4urqqPj39+/fHyJEjLRctEZENkKathgWqYF3X6YgfLbaa8bnsyGb4b98arUMj0r3fSnykRqdbt274/PkzpkyZokZvDRs2TA1x37BhAyZPnoy5c+daLloiIhuSOVEa+PSeh2IZ8sD32xd0WTgcXf4bBt+vX7QOjUi3fivxuXLlihrOLn/NyFw+X758QdGiRU2vFy9eHHfu3LFEnERENsnD1R3zWo1Czwot1b+d/+1fq9b7evyaU34QhfnE58OHD4gSJcr/3hg+PCJFiqQmMDSS55zJmYgoMPn3sn2phljYdqzqA3Ti1nnV7+fYjbNah0akO7+V+MhfKwGHZQZ9TkREwSuczgtbesxG6rjJ8PTtC1Xzw34/RGE48ZERWzJ7c7Ro0dT2/v17ZMmSxfQ8derUlouUiMgOJPFMgI3dZqBs1sJqcVPp99N32Xg18SERWV6IJzAUc+bMsVwkREQ64ersghnNhmD85jlqtufpO5fg+pM7mNZ0sFoFnojCSOIjHZqJiOjPSTeBjqUbI3msxGg3dwB2XjiEsqOaYX7r0UgUI67W4RHZLc7cTESkoXLZCmN1l6mI7R4TVx7eRKnhjXHi5nmtwyKyWyFOfDw8PEx9eX61ERHR7833s7nHLGRMmBov379GlXFtsOnUbq3DItJ3U9f48eNNj1+8eIHBgwejRIkSatV24yKmW7duhbe3t2UiJSKyY3E8PLG68xS0nNkHPucOoMn0nhhUrQMaF6ymdWhEdiWcIRSLa1WpUgWFChVC27ZtA+2fNGkStm/fjjVrbHd4ZkiXtf9d/v7+ePr0KTw9PdWcHmQZLGfrYDlbzje/b+i9dCzm7V2lnjcvXAMt89ZA7NixWdYWxO+07ZdzSO/fofqtUrNTsmTJ7/bLPkl8iIgodBwiOKgFTvtUaqOeT9+5FN1XjOYyF0RmEqrEJ3r06Fi7du13+2WfvEZERH824qttiXqY2mSQWuHd5+JB1Pu3C95//qB1aET6Gs5uNGDAADRt2hS7d+9Gzpw51b4jR45gy5YtmDFjhrljJCLSpYo5iiGqqxsaT+2O/VeOo/LYNlj09zjEiOKhdWhE+qrxadiwIQ4cOKDa0FatWqU2ebx//371GhERmUf+1Dkwo8FgRIscFWfvXkaF0S1w78UjrcMi0leNj5CanoULF5o3GiIi+k66eMmxtvNU1JzYATee3EW5kc2xrMMEpIyTROvQiOy3xkdWZv8dv3s8EREFL1mshNjQdTpSxU2Kx2+eodLY1rhw/5rWYRHZb+KTPHlyDB8+HI8eBV/FKiPjfXx8UKpUKUyYMMFcMRIRkXGun05TkDFhKrx490qt7n7yFmd5JrJIU5d0ZO7Vqxf69++PTJkyIXv27IgbNy6cnZ3x6tUrXLx4UU1i6ODggJ49e6JFixa/FQgREf1atMjuWNFxMupM7IhjN8+h2vh2+K/tGHilyKJ1aET2VeOTKlUqrFy5ElevXkX16tXx4MEDrFixQo3ikqQoXrx46vHt27fRunVrRIgQwbKRExHplFukyFjS7h/kTZUdH3w/ovaEDth98YjWYRHZ78zN9owzN9s2lrN1sJzDRll/+vIZTaf3wo7zBxHRwQnzWo9CwbT/m2KEfg+/09ZhszM3ExGR9iI5OWNOyxEomSk/fL99QYN/u2LXhcNah0UUpjHxISKyYTKz8/RmQ0zJT8Mp3bDzwiGtwyIKs5j4EBHZSfJTKlMBlfw0mtKdyQ9RMJj4EBHZSfIzrdngQMnPHnZ4JvoOEx8iIjtNfqTZ69C1U1qHRWQfS1a8fv0aR48eVb2zpZd2QPXr1zdHbEREFIrkZ2rTQWg4tZvq6Fx3Umcs7zARWZOk0zo0IttNfNavX486derg/fv3ashYuHDhTK/JYyY+RETaiejohNkthqPu5M44cOUEak3sgJUdJyN9gpRah0Zkm01dnTt3RuPGjVXiIzU/MnOzcXv58qX5oyQiot8e6j6/1ShkT5oBbz6+Q/V/2uHKw1tah0Vkm4mPzNrcrl07uLi4mD8iIiIyC1dnFyz6e5xa2+vl+9eo8U873H3+UOuwiGwv8SlRogSOHz9u/miIiMgCy1tMQIrYidWq7jUntMezt6yZJ/0KVR+fMmXKoGvXrmph0gwZMsDR0THQ6+XLlzdXfEREZIaFTZe2n4Byo5rj5tN7qD2xA1Z1moIokVy1Do3INhKfZs2aqZ8DBw787jXp3Ozn5wdzkoVPBw0ahJ07d+Lx48dqVfi6deuid+/ecHJyMh2TJEmS794rK8bnypXLrPEQEdmauB6eWNZ+AsqPboFz966i/r9dsLjdeDg7RtQ6NKKw39Qlw9eD28yd9IjLly+rc0+bNg0XLlzAuHHjMHXqVPTq1eu7Y7dv345Hjx6ZtmzZspk9HiIiW5QsVkIs/nscIju7qPl9Ws70xje/b1qHRWRVNjGBYcmSJTFnzhwUL14cSZMmVU1pXbp0wapVq747Nnr06IgdO7ZpC9oMR0SkZxkTpsa8VqPUau5bzuxFryVjYDAYtA6LKOxPYLhnzx6MHj0aly5dUs/Tpk2r+v3ky5cP1iDLzkeLFu27/ZIUff78GSlTpkS3bt1+2d/I19dXbQGXtRfGGixzkXPJPy7mPCd9j+VsHSxn2y5rrxRZ8G/jAWg6oxfm71uNOFFjon2phtAzfqdtv5xDes5QJT7//fcfGjVqhMqVK6th7eLAgQMoUqQI5s6di9q1a8OSrl+/jokTJ6rEyyhy5MgYM2YM8uTJg/Dhw2PlypWoWLEi1qxZ89PkZ9iwYRgwYMB3+589e6YSKHNeEEnW5IJLfGQZLGfrYDnbfllni5sG3Us2xfDNMzBi/XS4RnBG+cyFoVf8Ttt+Ob979y5Ex4UzhKKOM02aNGjevDk6duwYaP/YsWMxY8YMUy3Qr/To0QMjRoz46TFyrtSpUweaQ6hAgQIoWLAgZs6c+dP3ygzSt27dwr59+36rxidBggRqMkaZldqcF1uSqZgxY/J/KgtiOVsHy9l+ynrw6sn412chHMJHwPzWo1EwbU7oEb/Ttl/Ocv/28PBQidXP7t+hqvG5efMmypUr991+qVn5UYfjn80A3bDhz6tXpU+P0cOHD1GoUCHkzp0b06dP/+X5c+bMCR8fn58eEzFiRLUFJRfE3BdFRrxZ4rwUGMvZOljO9lHWfSq1wePXz7Dq2DY0m9EbazpPQYaEqaBH/E7bdjmH9HyhSnykRmTHjh1Injz5dyOq5LWQkoxPtpCQmh5JemSUlnR0DskHPH36NOLEiRPieIiI9Eb+LR1Xvw+evH2h1vWqN7kLNvWYpYa/E9mjUCU+UlMjfXsksZDaF2MfH+nf888//5g7RpX0SNNWokSJVL8eqSYzkpFbYt68eWpOnyxZsqjnMuJr9uzZv2wOIyLSO1nUdE7LESg7shmuPrql5vhZ23mqWvKCyN6EKvFp1aqVSjikM/GyZctM/X6WLl2KChUqmDtG1VwlHZplix8/fqDXAnZRkkkO79y5AwcHB9UvSOKpWrWq2eMhIrLHpS3+azMGpUc0wfl7V9FyljfmthqJCOEjaB0akVmFqnOzPZPOUe7u7r/sHBWaDl1Pnz6Fp6cn248tiOVsHSxn+y3rEzfPo8q4Nvj81RfNC9fEwOodoAf8Ttt+OYf0/s2rS0REJtmSpsc/DbzV4+k7l2DO7hVah0SkTVOXTBZ49epVxIgRQw0Xk17ZwXn5kiv/EhHZqgrZi+L2s/sYtnYq+iwbh6SeCVBAp8PcSceJj6yPFSVKFNPjnyU+RERk29qVbIAbT+5i2eFNaD6zDzZ3n4WksRJqHRaR9RKfBg0amB7/au4dIiKybfLH7ag6PXDz6T0cv3kODaZ0xcbus1QnaCJbFqo+PidPnsS5c+dMz9euXauWh5DJC798+WLO+IiISMNh7rNbDFdz+lx7fEet5u7n76d1WETWT3xatGih+vsYZ3GuUaMGXFxcsHz5crUwKBER2QdP9+iY03IkIjlGxM4LhzB49b9ah0Rk/cRHkp7MmTOrx5LsyNpZixYtUhMYyuKgRERkPzIlSo1xDfqox1N8Fqp+P0S6SnwCLikvy1SULl1aPZblKp4/f27eCImISHMVsxdDh1L/69/Z9b/hOHPnstYhEVkv8cmePTsGDx6MBQsWYM+ePShTpozaLyuhx4oVK3SREBFRmNatXHMUzZAHvt++oPG0Hnj+7pXWIRFZJ/EZP3686uDctm1b9O7d27RY6YoVK0xrdxERkX2RmXYnN+qPJDHj48HLx2g1yxvf/L5pHRaR5dfqypgxY6BRXUajRo1ChAhc14WIyF65u0TB7JYjUGZkU+y7fBxD10xB3yp/ax0WkWVrfO7du4f79++bnh89ehQdOnTA/Pnz4ejoGJpTEhGRjUgTLxnG1eutHv/rsxBrj2/XOiQiyyY+tWvXxq5du9Tjx48fo1ixYir5kWavgQMHhuaURERkY8tatC5WRz3uMH8wLj+8qXVIRJZLfM6fP4+//vpLPV62bBnSp0+PgwcPYuHChWpIOxER2b9eFVshX+rs+PTlM5pO64n3nz9oHRKRZRKfr1+/ImLEiKbh7OXLl1ePU6dOjUePHoXmlEREZGMcIjhgSpNBiBM1Jq4/uYMu/w1X050Q2V3iky5dOkydOhX79u2Dj48PSpYsqfY/fPgQ0aNHN3eMREQURsWI4oFpTQfDIXwErDnug9m7V2gdEpH5E58RI0Zg2rRpKFiwIGrVqoVMmTKp/evWrTM1gRERkT78lTwTvCu3VY/7r/gHJ2+d1zokIvMOZ5eER2Zofvv2LTw8PEz7mzdvrtbsIiIifWlepCaO3jiLjad2odn03vDpPR/RIrtrHRaReWp8hMzXEzDpEYkTJ4anp2doT0lERDYqXLhwGF+/D5J6JsCDV0/Qdk5/09JGRDZZ45M1a1bs2LFDJTtZsmRRX/LgyKzORESkL1EiuWJm86EoPaKpWsl9yvZFaFO8rtZhEYUu8alQoYJpJFfFihVD+jYiItKRtPFTYHD1juiycDiGrZmCnMkzIXvSDFqHRfT7iU+/fv1++JiIiCigOnkrYP+VE2qUV4uZ3tjeex48XNnfh2y8j4/R+/fvVSfngBsREemXdIUYVaeHaTHTjvOHcH4fsu3E59atWyhTpgxcXV3h7u6u+v3IFjVq1O86PBMRkT77+0xrNhhODo7YcmYvZu1apnVIRKEfzl63bl2Vvc+ePRuxYsX6aUdnIiLSp4wJU6NflXbovXQMBqyciBzJMiFTotRah0U6F6rE58yZMzhx4gRSpUpl/oiIiMhuNC5YFQeuHMem03vQapY3fHrNg6sz53sjG2vqypEjB+7du2f+aIiIyK5Ii8CYer0Q18MTN5/eQ59l47QOiXQuVDU+M2fORMuWLfHgwQO1Mrujo2Og1zNmzGiu+IiIyMbJiK5Jjfqjyrg2WHxwPQqmzYkK2YtqHRbpVKgSn2fPnuHGjRto1KhRoKxe+v3ITz8/P3PGSERENi53yqxoX7IBxm+ei64LhyNL4rRIGCOu1mGRDoWqqatx48Zq9uZDhw7h5s2bapRXwJ9ERERBdS7bFNmSpMfbT+/RZnY/fPP7pnVIpEOhqvG5c+eOWok9efLk5o+IiIjskmMEB/zbZCCKDK6LYzfPYdymOeharpnWYZHOhKrGp3DhwmpkFxER0e9IFCMuRtburh5Ls9fxm+e0Dol0JlQ1PuXKlUPHjh1x7tw5ZMiQ4bvOzeXLlzdXfEREZGcq/1UCO84fxMqjW9F2zgC1pEVkZ1etwyKdCFXiIyO6xMCBA797jZ2biYjoV4bW7ILD18/g9rP76Lt8PMbW6611SKQToWrq8vf3D3Zj0kNERL/i7hIFExv2VX8sLzqwHptO7dY6JNKJP16k1Oj169fmOhUREelkiHub4nXV4y7/DcOTN8+1Dol0IFSJz4gRI7B06VLT82rVqiFatGiIFy8eOz0TEVGIdSvXHOkTpMTLD2/QYf5gruJOYTPxmTp1KhIkSKAe+/j4YPv27diyZQtKlSqFrl27mjtGIiKyU7J6++RGA+DsGBG7LhzG3D0rtQ6J7FyoEp/Hjx+bEp8NGzagevXqKF68OLp164Zjx46ZO0YiIrJjqeImQZ9KrdXjgasm4dZTrgVJYSzx8fDwMC1SKjU9RYv+b80VqaJk52YiIvpdjQtWQ55U2fDpy2f8PXcg/Px5L6EwlPhUrlwZtWvXRrFixfDixQvVxCVOnTrF2ZyJiOi3hQ8fHuPr90FkZxc1qeG/2xZqHRLZqVAlPuPGjUPbtm2RNm1a1ccncuTIav+jR4/QuvX/qiuJiIh+R4LocTC4eif1eOT66bh4/5rWIZEdCtUEhjJTc5cuXb7bL7M5ExERhVYNrzLYfHoPtp7dp2Z13txjNiI6OmkdFuk98RHXrl3Drl278PTpUzVxYUB9+/Y1R2xERKQzMqHh6Lo9cGzgOVx8cB1jNs5Cr4qttA6L9J74zJgxA61atUKMGDEQO3Zs9UU1ksdMfIiIKLRiukXHqDrd0WRaT0zaugAlM+VH1iTptA6L9NzHZ/DgwRgyZIga1n769GnVqdm4nTx50vxREhGRrpTJUgiVcxSHv8Ef7ecNxOevvlqHRHpOfF69eqVmayYiIrKUwTU6w9MtOq49voNR62doHQ7pOfGRpGfbtm3mj4aIiOj/RIvsrpq8xBSfRWqYO5EmfXxkrh5vb28cPnwYGTJkUKO8AmrXrt0fB0ZERFQiU35UzVkKK45sRvt5g7C993xEcnLWOizSW+Izffp0NXfPnj171BaQdG5m4kNEROYyuHpH7Lt8DDee3MWIddPRvyrvMWTlxOfWrVt/8CuJiIhCLqqrG0bX7Yl6kztj2o7FKJ25AP5KnknrsEhPfXyIiIisqViGPGpyQ1kTsuOCIWpNLyKrTmB4//59rFu3Dnfv3sWXL18CvTZ27NjQnpaIiOiHBlRtj90Xj6gmr9EbZsK7clutQyK9JD47duxA+fLlkTRpUly+fBnp06fH7du3VSaeNWtW80dJRES6J01eI2t3Q4Mp3dQoL5nrhxMbklWaunr27KnW6jp37hycnZ2xcuVK3Lt3DwUKFOD8PkREZNFRXsaJDTvMHwzfr4FbHIgskvhcunQJ9evXV48dHBzw6dMnNcpr4MCBGDFiRGhOSUREFOKJDWNE8cDVR7cwbtNsrcMhPSQ+rq6upn49ceLEwY0bN0yvPX/+3HzRERER/WBiw2E1u6rHE7cuwLm7V7QOiew98cmVKxf279+vHpcuXRqdO3dWa3c1btxYvUZERGRJ5bIVRtmsheHn76eavL76fdM6JLLnxEdGbeXMmVM9HjBgAIoUKYKlS5ciceLEmDVrlrljJCIi+s6wml3g4eqGC/ev4d9t/2kdDtlr4uPn56eGsidMmNDU7DV16lScPXtWdXJOlCiRJeIkIiIKJKZbNAyq3lE9HrNxlurzQ2T2xCdChAgoXry4WqGdiIhIS1X+KonC6bzw5dtXdFowVDV9EZm9qUvm7bl582Zo3kpERGQ2sj7kqDo94BrRRa3ePmfPSq1DIntMfAYPHqzm8dmwYQMePXqEt2/fBtqIiIisJV60WPCu3EY9HrpmCu4+f6h1SGQviY/M0/Phwwc1kuvMmTNq9ub48ePDw8NDbVGjRlU/iYiIrKl+vkrIlSILPvp+QteFw9VKAkR/vGSFjOBq2bIldu3a9TtvIyIisqjw4cNjTN2eKDK4HvZcOoqlhzaiZu6yWodFtp74GDNoWZqCiIgoLEkWKyG6lG2Kwasno/+KCSiS3gsx3aJrHRbZeh8f6UimBWlWkyH0sjaYzBZdr149PHwYuB1XhtTny5dPHZMgQQKMHDlSk1iJiEgbLYvWQoYEKfH641v0XjpW63DIHhKflClTIlq0aD/dLKFQoUJYtmwZrly5ouYLkmUyqlatanpdOlXLMHuZR+jEiRMYNWoU+vfvj+nTp1skHiIiCnscIjhgbL3eiBA+Atad2IGtZ/ZqHRLZclOXsZ+Pu7s7rK1jx/9NUiUkuenRowcqVqyIr1+/wtHREQsXLlTrh82ePRtOTk5Ily4dTp8+rWaZbt68udXjJSIibWRImAqtitXGpK0L0H3RKHilzAq3SJG1DotsNfGpWbMmPD09oaWXL1+qRCd37twq6RGHDh1C/vz5VdJjVKJECbVavEy2GNxoM19fX7UZGYfj+/v7q81c5FzSR8qc56TvsZytg+VsPSzr0OlYqjE2ntyFW8/uY/CqyRhe63+LmgaH5WwdliznkJ7TwRb69xh1794dkyZNwsePH9ViqDKPkNHjx4+RJEmSQMfHihXL9Fpwic+wYcNULVZQz549w+fPn816Qd68eaMuuIw+IMtgOVsHy9l6WNah16t0CzSb5435+1ajYPLsyJooXbDHspytw5Ll/O7dO8uN6jIXaa6SGpmfuXTpElKnTq0ed+3aFU2aNMGdO3dUslK/fn2V/PxJQtazZ0906tQpUI2PdIyOGTMm3NzcYM6LLXHKefk/leWwnK2D5Ww9LOvQK+NZBLWvH8WiA+sxeOM0bO89D86OEX94LMvZOixZzjKwyeyJj7mrpjp37oyGDRv+9JikSZOaHseIEUNt0sE6TZo0KkE5fPgwvLy8EDt2bDx58iTQe43P5bXgRIwYUW1ByQUx90WRi22J81JgLGfrYDlbD8s69PpVaYcd5w/h5tO7mLh1PrqXbxHssSxn67BUOYf0fL/dx8ecJOOTLTSMSZixf44kP7179zZ1dhY+Pj5IlSoVZ5MmItIpd5coGFqzM5pM64mJW+ajfLYiSBMvudZhkYZsIq09cuSI6tsjo7SkmWvnzp2oVasWkiVLphIeUbt2bdWxWZrCLly4gKVLl+Kff/4J1IxFRET6UyZLIZTKVADf/P24gjvZRuLj4uKCVatWoUiRIqoGR5KbjBkzYs+ePaZmKhliv23bNty6dQvZsmVTzWh9+/blUHYiIlK1PlGcXXHq9kXM2b1C63BIQ5o2dYVUhgwZVC3Pr0gytG/fPqvEREREtiOOhye8K7dFt0UjMHTtVJTIlB8JosfROizSgE3U+BAREf2punkrIFfyzGoF9+6LRnIFd51i4kNERLogo35G1e0BJwdH7LxwCKuPbdM6JNIAEx8iItKNFLETo2PpRupxn2Xj8OL9a61DIitj4kNERLrSpng9pI6bDC/fv0b/FRO0DoesjIkPERHpijR1ja3XU02kt/zwJuy5eETrkMiKmPgQEZHuZE2SHk0KVlOPuy4aoTo8kz4w8SEiIl3qUaEF4nnEwt3nDzFqw0ytwyErYeJDRES6FNnZFcNrd1OPZ+xciosPr2sdElkBEx8iItKtYhnyoFKO4vA3+KP/2kn46vdN65DIwpj4EBGRrg2s1gEerm64+uQ2pm5fpHU4ZGFMfIiISNdiukVD/yrt1eOxG2fjxpO7WodEFsTEh4iIdK9qzpLwSpYZvt++oMt/w+Dv7691SGQhTHyIiEj3ZE6fPmVbIZKTMw5dO4WFB9ZpHRJZCBMfIiIiQA1t71G+hXo8cOVEPHr1VOuQyAKY+BAREf2fxgWrImuSdHj3+QN6LhnNFdztEBMfIiKi/xMhfASMqdsLDuEjYMuZvVh/cqfWIZGZMfEhIiIKIE28ZGhXqqF63GvJaLx8/0brkMiMmPgQEREF0b5kA6SMkwTP371C3+XjtQ6HzIiJDxERURARHZ0wvn5vhA8XHiuObMb2cwe1DonMhIkPERFRMCu4NytSQz3uvmgE3n36oHVIZAZMfIiIiILRvXwLJIoRDw9ePcHg1ZO1DofMgIkPERFRMFycnDGmXi/1eN7eVTh49aTWIdEfYuJDRET0E3lTZUO9fBXV484LhuLjl89ah0R/gIkPERHRL3hXbou4Hp649ew+RqydqnU49AeY+BAREf2CW6TIGFWnh3o8fedSHL1+RuuQKJSY+BAREYVAkfS5UTN3WbWMRYf5g/GJTV42iYkPERFRCA2o2h6x3WPi5tN7GLFuutbhUCgw8SEiIgohd5coGFX3f01e03YsxrEbZ7UOiX4TEx8iIqLfUCxDHlTPVVo1eXWcP4RNXjaGiQ8REdFvGlitA2K5x8D1J3fY5GVjmPgQERH9pqiubqZRXtLkdejaKa1DohBi4kNERBQKxTPmRa3c5VSTV/t5g/Dh80etQ6IQYOJDRET0B01e8aLFxt3nDzFg5UStw6EQYOJDREQUSlEiueKfBt7q8fx9q7HrwmGtQ6JfYOJDRET0h2t5NS1UXT2WUV6vP7zVOiT6CSY+REREf6hXpdZIFishHr95ht5Lx2gdDv0EEx8iIqI/5OLkjAkN+iJ8uPBYeXQr1hzz0TokCgYTHyIiIjPIljQ9OpRupB53WzQC918+1jok+gEmPkRERGbSsXQjZE2SDm8/vUe7uQPh5++ndUgUBBMfIiIiM3GM4IDJjfrDJWIkHLx6ElN8FmkdEgXBxIeIiMiMkngmwODqHdXjEeum4ezdy1qHRAEw8SEiIjIzmdG5dOYC+Or3DW1m98NHLmQaZjDxISIiMrNw4cJhVN2eaiHTa4/voN/y8VqHRP+HiQ8REZEFRI8cFRMb9lVJ0IJ9a7D2+HatQyImPkRERJaTP81faFeivnrc5b9huPPsgdYh6R4THyIiIgvqWq4ZciTNgHefP6DFTG98+fZV65B0jYkPERGRBTlEcMCUpoMQ1cUNp+9cxNA1U7QOSdeY+BAREVlY/GixMa5+b/V46vZF8Dl3QOuQdIuJDxERkRWUylwAjQtWVY/bzx2Iey8eaR2SLjHxISIispK+Vf5GxoSp8fLDGzSb3hu+X79oHZLuMPEhIiKyEmfHiJjZfCg8XP/X38d7+TitQ9IdJj5ERERWlDBGXExuPEDN7zN/72osO7xJ65B0hYkPERGRlRVO54XOZZqox90WjsCF+9e0Dkk3mPgQERFpoFPpxioB+vzVF02m9cSbj++0DkkXmPgQERFpIHz48JjcuD8SRI+D28/uo+VMb3zz+6Z1WHaPiQ8REZFGPFzdMaflCERycsaui4cxaNUkrUOye0x8iIiINJQ+QUq1mKmYtmMJFh1Yr3VIdo2JDxERkcbKZi2s1vQS3ReNwJHrp7UOyW4x8SEiIgojnZ3LZS2Cr37f0HhaT87sbCFMfIiIiMIAmdfnn4beyJgwFV68e4X6/3bB20/vtQ7L7jDxISIiCiNcnJwxt9UoxHKPgUsPbqDx1B748u2r1mHZFSY+REREYUhcD08sbDsWrhFdsP/KcXScPxj+/v5ah2U3mPgQERGFwZFes1oMg0P4CFh5dCuGrp2idUh2g4kPERFRGFQwbU6MqddLPZ60dQFm716hdUh2gYkPERFRGFXDqwx6lG+hHvdeOgbrT+zUOiSbx8SHiIgoDGtfqiHq56sEg8GAVrO84XPugNYh2TSbSXzKly+PhAkTwtnZGXHixEG9evXw8OFD0+u3b99WQwGDbocPH9Y0biIioj8h97JhtbqgUo7i+Obvh6bTemLf5WNah2WzbCbxKVSoEJYtW4YrV65g5cqVuHHjBqpWrfrdcdu3b8ejR49MW7Zs2TSJl4iIyFwihI+ACQ37omSm/PD99gX1/+2Ko9fPaB2WTbKZxKdjx47IlSsXEiVKhNy5c6NHjx6qNufr18DzG0SPHh2xY8c2bY6OjprFTEREZC6OERwwrelg1en505fPqDOpE07fuaR1WDbHATbo5cuXWLhwoUqAgiY20iT2+fNnpEyZEt26dVPPf8bX11dtRm/fvlU/Zc4Ec86bIOeS9lnOxWBZLGfrYDlbD8vaOmylnCX5mdl8GOpO6oTD10+j5j/tsKjtOGROnBZ6L2f/EJ7TphKf7t27Y9KkSfj48aOq/dmwYYPptciRI2PMmDHIkycPwocPr5rDKlasiDVr1vw0+Rk2bBgGDBjw3f5nz56pBMqcF+TNmzfqgkt8ZBksZ+tgOVsPy9o6bK2cx1TrjlYL+uPs/SuoNv5vTKrjjSyJ0uq6nN+9exei48IZ5LdrRJqrRowY8dNjLl26hNSpU6vHz58/V7U9d+7cUcmKu7u7Sn6k49eP1K9fH7du3cK+fft+q8YnQYIEePXqFdzc3GDOiy3JVMyYMW3ifypbxXK2Dpaz9bCsrcMWy/nD549oMKUbDl47iUhOzpjXaiTypsoOvZbz27dv4eHhoRKrn92/Na3x6dy5Mxo2bPjTY5ImTWp6HCNGDLVJM1aaNGlUgiL9fLy8vH743pw5c8LHx+en548YMaLagpILYu6LIgmaJc5LgbGcrYPlbD0sa+uwtXKO4hIZ//09Fk2m9sCui4dRb3IXzGoxHEUz5IYeyzl8CM+naeIjGZ9sf9KWF7C2JqjTp0+roe9ERET2u6jpSLSY2QdbzuxFo6ndMLFRP1TMXkzr0MIsm+jjc+TIERw7dgx58+ZV1VgylN3b2xvJkiUz1fbMmzcPTk5OyJIli3q+atUqzJ49GzNnztQ4eiIiIsuJ6OiEGc2Hou2c/lh7fDtazvTGw5dP0apY7WC7guiZTSQ+Li4uKpHp168fPnz4oGpxSpYsiT59+gRqpho0aJDq/+Pg4KD6BS1duvSHc/0QERHZExnt9W/jAYgZJRpm7lqGgasm4v7LRxhUvaOaA4hsLPHJkCEDdu78+fokDRo0UBsREZEeSYIjiU786LHRf8UEtajpo1fP8G+TAarzM/2PbfTgIiIiol+Spq2WRWuriQ6dHByx+cweVBnXBo9fP9M6tDCDiQ8REZGdqZC9KJa1n4ioLm44eesCig9tiOM3z2kdVpjAxIeIiMgO5UqRGVt6zkbquMnw9O0LVBrTCv/tWwO9Y+JDRERkpxLHjI+N3WagTJZC+Or3DV0WDke3hSPw5VvgdS71hIkPERGRHXN1dsHM5kPRs0JL1Qdo/r7VKDuyGW49vQc9YuJDRERk5yThaV+qIRa0HgMPVzecvXsZRYc0wKqjW6E3THyIiIh0omiG3NjR5z/kSpEFH3w/ovXsfugwfzA++H6CXjDxISIi0pG4Hp5Y2XESupRtivDhwmPJwQ0oNqQ+jt04Cz1g4kNERKQzMtmhJD4rOk5CnKgxcfPpPZQf3QL9VvyDT18+w54x8SEiItKp3CmzYnffRajhVQYGgwHTti9GUTuv/WHiQ0REpGPuLlHwTwNvLGgzBrHdY+LGk7uq9qfXktF4++k97A0THyIiIkKxDHmwu+9CVM9VWtX+yFpfefpVVyO/5Lm9YOJDRERESlRXN0xo2BfLO0xEslgJ8eztSzXyq/o/f+P64zuwB0x8iIiIKJB8qXNgZ5//0L18czg7RsS+y8dRcGBteC8bh1cf3sCWMfEhIiKi70R0dELH0o2xp+8i1Qz2zd8PM3YuhZd3NczYsdRml71g4kNERETBShQznur4vLTdP0gTLxlef3wL7+XjVA3Q+hM74e/vD1vCxIeIiIh+qUDanNjeez5G1+mBGFE81Nw/zWb0QsnhjbDj/EGb6QDNxIeIiIhCPPFh3XwVcXjQCjUBYmRnF5y9ewV1JnVCxTEtcfDqSYR1THyIiIjot0R2dlWJz5HBq9CqWB3VAfrI9TOoPLY1Ko5uiT0Xj4TZGiAmPkRERBQq0SNHRb8qf+PQwOVokL8ynBwccfj6adSY0B5lRjaFz7kDYS4BYuJDREREfySOhydG1O6GI4NWommh6qoG6OStC6g3uTOKDK6H5Yc346vfN4QFTHyIiIjIbAnQ4BqdcGzIKrQuVgcuESPh4oPr+HvuAOTsUxnTdizGB99P0BITHyIiIjKrmG7R0bfK3zg5dC16VWyFmG7R8PDVUwxYORElxjbBlYc3oRUmPkRERGSxJTDalWyAY0NWY0zdnmoZDA9XdySPnQhacdDsNxMREZEuODtGRJ28FVAjVxmcu35JDYvXCmt8iIiIyCrChw+POFFjahuDpr+diIiIyIqY+BAREZFuMPEhIiIi3WDiQ0RERLrBxIeIiIh0g4kPERER6QYTHyIiItINJj5ERESkG0x8iIiISDeY+BAREZFuMPEhIiIi3WDiQ0RERLrBxIeIiIh0w0HrAMIag8Ggfr59+9as5/X398e7d+/g7OysVqcly2A5WwfL2XpY1tbBcrb9cjbet4338eAw8QlCLohIkCCB1qEQERFRKO7j7u7uwb4ezvCr1EiH2ejDhw8RJUoUhAsXzqyZqCRT9+7dg5ubm9nOS4GxnK2D5Ww9LGvrYDnbfjlLOiNJT9y4cX9am8QanyCksOLHj2+x88uF5v9Ulsdytg6Ws/WwrK2D5Wzb5fyzmh4jNmQSERGRbjDxISIiIt1g4mMlESNGRL9+/dRPshyWs3WwnK2HZW0dLGf9lDM7NxMREZFusMaHiIiIdIOJDxEREekGEx8iIiLSDSY+REREpBtMfEJh7969KFeunJodUmZ3XrNmzU+P3717tzou6Pb48eNAx02ePBmJEydWa5jkzJkTR48ehZ5ZopyHDRuGHDlyqJm5PT09UbFiRVy5cgV6Z6nvtNHw4cPV6x06dICeWaqcHzx4gLp16yJ69OiIFCkSMmTIgOPHj0OvLFHOfn5+8Pb2RpIkSVQZJ0uWDIMGDfrlulD2bO9vlrPw9fVF7969kShRIjWyS+55s2fPDnTM8uXLkTp1anUvlO/ypk2bzBo3E59Q+PDhAzJlyqQSld8hN9hHjx6ZNrnxGi1duhSdOnVSw/xOnjypzl+iRAk8ffoUemWJct6zZw/atGmDw4cPw8fHB1+/fkXx4sXV79IzS5S10bFjxzBt2jRkzJgRemeJcn716hXy5MkDR0dHbN68GRcvXsSYMWPg4eEBvbJEOY8YMQJTpkzBpEmTcOnSJfV85MiRmDhxIvTqQyjKuXr16tixYwdmzZqlynvx4sVIlSqV6fWDBw+iVq1aaNKkCU6dOqX+OJXt/Pnz5gtchrNT6EkRrl69+qfH7Nq1Sx336tWrYI/566+/DG3atDE99/PzM8SNG9cwbNgws8ar93IO6unTp+o9e/bsMUOU9sGcZf3u3TtDihQpDD4+PoYCBQoY2rdvb+ZobZe5yrl79+6GvHnzWiBC+2Cuci5TpoyhcePGgfZVrlzZUKdOHbPFau/lvHnzZoO7u7vhxYsXwR5TvXp1VdYB5cyZ09CiRQuzxcoaHyvKnDkz4sSJg2LFiuHAgQOm/V++fMGJEydQtGjRQGuGyfNDhw5pFK39lfOPvHnzRv2MFi2alaLTV1lL7VqZMmUCfbfJvOW8bt06ZM+eHdWqVVM1FFmyZMGMGTM0i9Veyzl37tyqpuLq1avq+ZkzZ7B//36UKlVKo2htz7r/+65KTVm8ePGQMmVKdOnSBZ8+fTIdI/e8oP9eSOuHOe+FXKTUCuR/pKlTp6oLLu2bM2fORMGCBXHkyBFkzZoVz58/V+3HsWLFCvQ+eX758mXN4ra3cg7K399f9TmRZoL06dNrErM9l/WSJUtUs600dZHlyvnmzZuqCUaaynv16qXKu127dnByckKDBg20/gh2U849evRQK4tL35MIESKof7OHDBmCOnXqaB2+zbh586ZKFqXvzurVq9W9r3Xr1njx4gXmzJmjjpF+VT+6FwbXfzBUzFZ3pFMhqd77kfz58xvq1q2rHj948ECd5+DBg4GO6dq1q2oCI/OUc1AtW7Y0JEqUyHDv3j0zRGg/zFHWd+/eNXh6ehrOnDljep1NXZb5Tjs6Ohq8vLwCHfP3338bcuXKZZY4bZ25ynnx4sWG+PHjq59nz541zJ8/3xAtWjTD3LlzzRyx/ZZzsWLFDM7OzobXr1+b9q1cudIQLlw4w8ePH03f50WLFgV63+TJk9W/J+bCpi6N/PXXX7h+/bp6HCNGDPUXxJMnTwIdI89jx46tUYT2V84BtW3bFhs2bMCuXbsQP358TWKz57KWplvpmC9/LTs4OKhNOpZPmDBBPZa/lsk832mprUibNm2gY9KkSYO7d+9qEJ39lnPXrl1VrU/NmjXVSKN69eqhY8eOaqQohYx8V6WJy93dPdB3VfKm+/fvq+dyz7P0vZCJj0ZOnz6tvgRCqqSzZcum2o8DNsPIcy8vLw2jtK9yFvI/mCQ9Us26c+dONTSVzF/WRYoUwblz59Q+4ybNCNIsII8l0SfzfKelqTbolAzSD0WGC5P5yvnjx4+q72VA8j2Wf6spZOS7+vDhQ7x//z7Qd1XK1fgHqNzzAt4LhYzANee9kH18QkEuWsC/BG7duqX+J5EOsgkTJkTPnj3VvBrz589Xr48fP17dYNOlS4fPnz+r9mO56W7bts10Dmmfl/Z4uTnIXxryHhkq2KhRI+iVJcpZOtsuWrQIa9euVXP5GNuN5S8QmZtDr8xd1lK2QftNubq6qnlm9NyfyhLfaal1kI63Q4cOVUOFZf6v6dOnq02vLFHOMl+N9OmR98txMtR67NixaNy4MfTq/W+Wc+3atdXcR3JfGzBggOrjIzVpUobGf3/bt2+PAgUKqCkZZGCE9BWUOanM+n02W6OZjhiHPgbdGjRooF6Xn9KfwWjEiBGGZMmSqbZNaRMuWLCgYefOnd+dd+LEiYaECRManJycVN+ew4cPG/TMEuX8o/PJNmfOHIOeWeo7HRD7+FiunNevX29Inz69IWLEiIbUqVMbpk+fbtAzS5Tz27dv1fdX/o2W45ImTWro3bu3wdfX16BXu36znMWlS5cMRYsWNUSKFEn1merUqZOpf4/RsmXLDClTplT3wnTp0hk2btxo1rjDyX/Ml0YRERERhV3s40NERES6wcSHiIiIdIOJDxEREekGEx8iIiLSDSY+REREpBtMfIiIiEg3mPgQERGRbjDxIaIwq3///sicOTPCinDhwmHNmjW//T5ZUkLWGnr37h0sSWbC9fT0NK17RETfY+JDpHNTp05VS0x8+/Yt0FT0jo6OKFiwYKBjd+/erW7+N27cgD0zd8IlU/f//fffqpwtSRY8rl+/Pvr162fR30Nky5j4EOlcoUKFVKIj6+EY7du3T9VQHDlyRK1dZCSr2csaPMmSJdMoWtsjq6Rv2LABDRs2tMrvk3WQFi5ciJcvX1rl9xHZGiY+RDqXKlUqtQq11OYYyeMKFSqohRsPHz4caL8kSmLBggVqUV2pxZAkSRYgfPr0qXpNVqyW1ZanTJkS6HfJwo6yEvOdO3fU89evX6Np06aIGTMm3NzcULhwYZw5c+an8coCkmnSpIGzszNSp06Nf//91/Ta7du3VY3UqlWrVJwuLi7IlCkTDh06FOgcM2bMQIIECdTrlSpVUotNRo0aVb02d+5ctYCixCHnkk32BWxOkvfIe1OkSIF169b9NN5ly5apGOLFi/fTGiVZKDNx4sSm55IoVaxYUS0+GitWLBXfwIEDVc2cLOwoC0FKGc+ZMyfQeWQBzbhx42L16tU/jYtIr5j4EJFKEqQ2x0geSzOXrJJs3P/p0ydVA2RMfL5+/apWWpYEQfq9SNJhrNWQ5KZWrVpYtGhRoN8jNRF58uRBokSJ1PNq1aqpZGnz5s04ceIEsmbNiiJFigRbWyHv79u3r1ol+9KlSyop8Pb2xrx58wId17t3b3Tp0kWtFJ0yZUoVi7Ep78CBA2jZsqVaBVpeL1asmDqfUY0aNdC5c2eVQDx69Ehtss9IkiJZBf3s2bMoXbo06tSp89PaFak9kwQxNGSF8IcPH2Lv3r0qOZMmrLJly8LDw0NdC/kcLVq0+K5Pz19//aV+LxH9gFmXPCUimzRjxgyDq6ur4evXr2oVagcHB8PTp08NixYtMuTPn18ds2PHDrXy8p07d354jmPHjqnX3717p56fOnXKEC5cONPxfn5+hnjx4hmmTJminu/bt8/g5uZm+Pz5c6DzyCrZ06ZNU4/79etnyJQpU6DXJKaABg0aZPDy8lKPb926pWKYOXOm6fULFy6ofbIqtKhRo4ahTJkygc5Rp04dg7u7u+l50N9rJOfp06eP6fn79+/Vvs2bNwdbtnKegQMHBtr3o/OPGzfOkChRItNzWdlanku5GaVKlcqQL18+0/Nv376p67Z48eJA5+rYsaNaYZyIvscaHyJStTsfPnzAsWPHVE2B1JJI85PU+Bj7+UgzV9KkSVUfHyE1NOXKlVPPpblLjjX2aRHSlCNNUsZanz179qjaHanlEVJTJH2LokePjsiRI5u2W7du/bDztMQn+5s0aRLo+MGDB393fMaMGU2PpRlPGJvhZISV1IgEFPT5zwQ8t6urq2qiM577R6SmTJrlQkNqnaT2zEiavDJkyGB6HiFCBFV+QX9/pEiR8PHjx1D9TiJ756B1AESkveTJk6v+ItKs9erVK1MSI31FpC/MwYMH1WvSB8eYhJQoUUJt0vwkSZIkPPL8y5cvpvNKM5AkPj169FA/S5YsqW7UQpKeoH2LjIz9bQKS4439c3LmzBnoNUkAApIRaUbSR8fY78gcAp7beP6fnVtGWkmZ/oqfn1+IfldIfr80vck1IaLvMfEhIkX67kgSIjdp6TxrlD9/ftUH5+jRo2jVqpXad/nyZbx48QLDhw9XiZEIOCrMSDo89+nTR9UOrVixQg2dN5L+PI8fP4aDg0OgTr3BkdoOScRu3rypEqo/6cwtNVsBBX3u5OT0w0QkNLJkyYKLFy9+t//JkyeBnsvnMpfz589/NxUBEf0Pm7qIyJT47N+/X3X4Ndb4CHk8bdo0VZNj7NgszVuSHEycOFHdsGVkk3R0DkoSmty5c6vmKUkkypcvb3qtaNGi8PLyUiOXtm3bpjpHS82SdEz+URJl7Fg8bNgwTJgwAVevXsW5c+fUqCbp+BtSMp/Opk2b1HuuXbumPpskdsaaIWPc0uQmZSGjuHx9fRFaUgsmo8qCJlKS9MkoLSm/lStXqlFyknRKUvknpIlLEs3ixYv/0XmI7BUTHyJSJKmR/ijS7CW1KwETH5lx2DjsXUgzigzxXr58OdKmTatqfkaPHv3D80rtjPTnkSHg0vfESBINSUCkRknmnpF+RTVr1lRD3QP+/oBk6LsMZ5dkR/q6SGwShwy7DykZVSY1T5L4yDDzLVu2oGPHjoH64VSpUkU1y0mZyGddvHgxQqtUqVKqVmv79u2B9qdPn14lb9KPR0amyeeSZFJGo/2JtWvXqsQ0X758f3QeInsVTno4ax0EEZGWmjVrpmpaLDUEfPLkyapWbOvWraZ5fGQKAKlRMrdcuXKhXbt2qpmRiL7HPj5EpDtSOyXz98ioLGnmknmAAk6EaG4y145M1ig1Z5ZctkKa5SpXrqzmLSKiH2ONDxHpjkxAKB25JRGRIfrS70cmA7QWS9b4ENHPMfEhIiIi3WDnZiIiItINJj5ERESkG0x8iIiISDeY+BAREZFuMPEhIiIi3WDiQ0RERLrBxIeIiIh0g4kPERER6QYTHyIiIoJe/D/51AlOnU686wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(wavelengths, power_db)\n",
    "ax.set_xlabel(\"Wavelength (µm)\")\n",
    "ax.set_ylabel(\"Transmission (dB)\")\n",
    "ax.set_title(\"Mode monitor power spectrum\")\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77512366",
   "metadata": {},
   "source": [
    "## Baseline Performance: The Need for Optimization\n",
    "\n",
    "The transmission spectrum shows large coupling loss (below -30 dB) near 1.55 µm, confirming that our initial guess is insufficient. We therefore turn to optimization to explore the broader design space efficiently."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d5151192",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim_data.plot_field(\"field_monitor\", \"Ey\", \"abs^2\")\n",
    "ax.set_title(\"Field intensity |Ey|^2 in the symmetry plane\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.19"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
