{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "545c2604",
   "metadata": {},
   "source": [
    "# 05b · Field monitors: where they sit, what they record\n",
    "\n",
    "Every simulation example so far showed a field map, always from the default\n",
    "monitor. This notebook is about **controlling** that monitor:\n",
    "\n",
    "- each axis in `spec.field_monitors` adds one plane normal to it — `\"z\"` is\n",
    "  the top view, `\"y\"` the side view, `\"x\"` the cross-section;\n",
    "- by default a plane sits at the **domain center** along its normal (`x`/`y`),\n",
    "  or at the **average mid-plane of the device layers** (`z`);\n",
    "- `spec.field_monitor_positions` pins a plane at an absolute coordinate, and\n",
    "  `spec.field_monitor_wavelengths` picks what it records;\n",
    "- `plot_monitor_planes(solver)` shows all of it **before anything runs**.\n",
    "\n",
    "The device is the **Si→SiN escalator** from the cookbook — light enters in a\n",
    "silicon core and couples upward into a nitride core 300 nm above it. A device\n",
    "whose action happens in the *vertical* plane is exactly where monitor\n",
    "placement starts to matter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "11d3cf06",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:14.869595Z",
     "iopub.status.busy": "2026-07-21T07:26:14.869451Z",
     "iopub.status.idle": "2026-07-21T07:26:16.542373Z",
     "shell.execute_reply": "2026-07-21T07:26:16.541839Z"
    }
   },
   "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\">00:26:15 PDT </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Using canonical configuration directory at                </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'/home/mustafa/.config/tidy3d'</span><span style=\"color: #800000; text-decoration-color: #800000\">. Found legacy directory at          </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'~/.tidy3d'</span><span style=\"color: #800000; text-decoration-color: #800000\">, which will be ignored. Remove it manually or run      </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'tidy3d config migrate --delete-legacy'</span><span style=\"color: #800000; text-decoration-color: #800000\"> to clean up.               </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m00:26:15 PDT\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Using canonical configuration directory at                \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'/home/mustafa/.config/tidy3d'\u001b[0m\u001b[31m. Found legacy directory at          \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'~/.tidy3d'\u001b[0m\u001b[31m, which will be ignored. Remove it manually or run      \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'tidy3d config migrate --delete-legacy'\u001b[0m\u001b[31m to clean up.               \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "si_sin_escalator: 18.0 x 3.8 um, ports ['opt1', 'opt2']\n"
     ]
    }
   ],
   "source": [
    "from pathlib import Path\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from gds_fdtd import SimulationSpec, Technology, get_solver\n",
    "from gds_fdtd.lyprocessor import load_cell\n",
    "from gds_fdtd.plotting import (\n",
    "    component_outlines,\n",
    "    plot_field,\n",
    "    plot_monitor_planes,\n",
    "    port_plane_outlines,\n",
    ")\n",
    "from gds_fdtd.simprocessor import load_component_from_tech\n",
    "\n",
    "\n",
    "def _find(rel: str) -> Path:\n",
    "    for base in (Path.cwd(), *Path.cwd().parents):\n",
    "        if (base / rel).exists():\n",
    "            return base / rel\n",
    "    raise FileNotFoundError(rel)\n",
    "\n",
    "\n",
    "REC = _find(\"examples/05_fields_and_modes/recorded\")\n",
    "\n",
    "tech = Technology.from_yaml(_find(\"examples/tech.yaml\"))\n",
    "cell, layout = load_cell(str(_find(\"examples/10_cookbook/si_sin_escalator.gds\")),\n",
    "                         top_cell=\"si_sin_escalator\")\n",
    "comp = load_component_from_tech(cell=cell, tech=tech)\n",
    "print(f\"{comp.name}: {comp.bounds.x_span:.1f} x {comp.bounds.y_span:.1f} um, \"\n",
    "      f\"ports {[p.name for p in comp.ports]}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76bd95c0",
   "metadata": {},
   "source": [
    "## 1 · The default monitor lands *between* the cores\n",
    "\n",
    "The escalator has two device layers: Si at z = 0–0.22 µm and SiN at\n",
    "z = 0.3–0.7 µm. The default z-plane is the **average of the layer mid-planes**\n",
    "— (0.11 + 0.5)/2 ≈ 0.3 µm — which here falls in the gap between the two\n",
    "cores, where neither mode is strongest. `plot_monitor_planes` makes that\n",
    "visible on the constructed solver (offline, nothing runs):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d084a028",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:16.543383Z",
     "iopub.status.busy": "2026-07-21T07:26:16.543182Z",
     "iopub.status.idle": "2026-07-21T07:26:16.673424Z",
     "shell.execute_reply": "2026-07-21T07:26:16.672819Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spec_default = SimulationSpec(\n",
    "    wavelength_start=1.5, wavelength_end=1.6, wavelength_points=11,\n",
    "    mesh=10, z_min=-1.2, z_max=1.5, field_monitors=(\"y\", \"z\"),\n",
    ")\n",
    "solver_default = get_solver(\"tidy3d\")(comp, technology=tech, spec=spec_default)\n",
    "plot_monitor_planes(solver_default)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fdf23b06",
   "metadata": {},
   "source": [
    "## 2 · Pin the plane where you want it\n",
    "\n",
    "`field_monitor_positions` takes absolute coordinates (µm) per axis. Here the\n",
    "z-plane goes to **0.11 µm — the middle of the Si core** — so the top view\n",
    "shows the light where it is launched. The side (y-normal) plane keeps its\n",
    "default: the domain's y-center, which is where the waveguide runs.\n",
    "`field_monitor_wavelengths=(1.55,)` records a single wavelength instead of\n",
    "the whole 11-point spectrum, which keeps the downloaded field data small:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7303475f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:16.674694Z",
     "iopub.status.busy": "2026-07-21T07:26:16.674608Z",
     "iopub.status.idle": "2026-07-21T07:26:16.777724Z",
     "shell.execute_reply": "2026-07-21T07:26:16.777179Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sPnbsWBw8eBB79uzB0KFD81WXzPJzjWUWGRkJR0fHAqsXkToMRIiKMA8PD8hkMty7dy/bsrt37wJArloftNH00FbYdYiJiUFoaCjKli0rpT1//hwJCQlayw0KCsKbN2/QqVMnlQey58+f482bN3mqS5UqVSCXy1GnTp0cH55lMhn8/f3h7+8PIGNmqKZNm2LKlCk4cuSI2nUaNmyY47f0eVVQ5y+v50Np2LBhGDJkCM6fP49du3bBxMQEAwcO1LpObo67h4cHKlasiEOHDuHNmzdSYOLj4wOFQoF169bhyZMn+Oqrr3Ksa506dZCWlobHjx/Dw8NDZRsymQz379/Ptk7W46jPe7QwrvncCgkJQZs2bRAdHY0jR46obQkCAC8vLxw8eBApKSkqrYQXLlyATCZDs2bNtG4nv+srvX79Gm3btkV0dDROnTqFiIgItGvXDh07dsT+/ftz1bKS1bNnz2BsbKx19i4hBJKSkqRZrTJTpiUlJeW4LXWtQ4X9QtDAwEA0bdq0ULdBxBcaEhVhpUqVwocffog///wTL168kNJDQkKwZs0a+Pn55aqLgTalS5dGTExMtm/HCrsOFhYWWLhwoUravHnzYGxsrHHaXwBwdnaGsbExAgICpDQhBL799ts8f9Npb2+P/v37Y9WqVXjw4EG25VevXoUQAqGhoSrHAsh4IHVyctLpoaIwFNT5y+v5UOrVqxesrKywYsUK/PXXX+jSpUuO36rqetyVfH19cfToUZw7dw5+fn4AAAcHBzRo0EB6CZsyQNFGOZ3qxYsXVdJLlSoFf39/rF27FhEREVL6nTt3cOrUqWx59XWPFsY1nxsRERHw8fFBZGQkDh8+rDWoHjFiBGJjY7FmzRopLSoqCuvWrUOXLl1Uug7dvXsXixYtkgK33K6vydu3b+Hr64uwsDAcOXIEVatWhZeXF/79919cvHgRXbt21emFhNeuXcuWdvr0aezfvx9dunSRppJWty8ymQze3t44d+4cnj59qlLGn3/+KS3PyYMHD1S63ikUCuzbtw8AdGoJy62goCCEhoaiTZs2BV42UWZsESEq4v744w/4+fnB09MTAwYMgEwmw4YNG1CmTBmN7z/Iiy5dumDOnDno27cvmjZtCrlcLr2HojDrYG9vj1KlSqFTp05o3LgxLly4gAMHDuC3337T+k2yhYUFpk+fjtmzZyM2Nhbu7u44cuQI2rdvr9NDiiZLly7F27dvUa9ePfTu3RuVK1fG69evcenSJaSkpODChQt4+/YtOnfujJo1a6J27dooUaIEjh49iqCgICxevDjP286Pgjp/eT0fSpaWlujTpw9WrVoFIYTOXU50Oe7KVgBfX1+sXLkScrlc5UHJ19cXc+fOhbu7e7b3RqhTs2ZN1K9fH7t27UL//v1Vli1btgze3t5o1KgR+vXrh6SkJFy9ehXDhw/H3LlzVfLq6x4trGteVx07dsT9+/cxYMAAnDlzBmfOnFGp22effSZ99vHxwbRp0zBu3DjcunUL5cuXx19//QVbW1ssW7ZMpdxLly5hwoQJWLt2LWrUqJHr9TWZOHEinjx5gqNHj6q8Z8XHxwfbt29Ht27dMH/+fHz77bday5k3bx6CgoLQtGlTlC5dGnfv3sWWLVvwwQcf4I8//shxX37//Xd07twZnp6e+Pjjj2FnZ4cjR47gwoUL+PHHH1GzZs0c98XMzAxt2rRBt27dIJfLsXv3bqlL3fTp0/H111/r9C4YXe3atQumpqbo1atXgZVJpA4DEaJC5O/vr9LlQ8nPz09tn2JfX99s/5mUL18eN27cwO7du3Hjxg0IIbBo0SJ07dpVpcuCpm3VqlUL48ePh62trZTWunVrWFlZqeTz9PTEpUuXsH//frx8+RLp6elS3/b81iEnX375JRo3boyjR4/igw8+wNy5c1GnTh2VPOrqPGPGDHh7e+PEiRMQQmD+/PlSV4LMgz9zc2wsLS3x77//4tKlSzh+/DjevHkDV1dX9OrVSxpwXaNGDWng+Y0bN5CYmIgBAwZgx44dKmXpU0GcPyVdzoc248ePR4kSJaSXIWal7lzqctyV2rZti/Hjx6NMmTIqx7tv375ISEjIVfe3MWPGYNSoUYiMjFTpYuPq6opbt25h48aNePLkCapVq4bvvvsOFy9eREJCgsrg5PzeH7n5e6DrNa/uGOfmPlCnTZs20rayjnVS1yLz/fffo1u3bti/fz9iY2Mxffp09OzZU+Ulm0DG/TR+/HjpwT2362syf/58jBw5Uu2YrQ4dOuDAgQNaJ1FQ2rp1KwICAnDixAkEBwejZs2aOHLkCFq2bJltsgN1+1K1alXcvXsXe/bswb179xAXF4d+/frhr7/+gouLi077UqVKFaxevRr79u1DfHw85s6dC19fXyxZsgSxsbHS9VgQ1xiQ0VrTq1cvjhGhQicThdGmR0SkgwEDBuDEiRPZujmRYbyP5yMtLQ116tRB586ds7V0EBUF3t7eSEpKwoULF/Syvf3796Nbt264d++eTi2LRPnBMSJERPTeksvlWLFiBeRyeaH0tScqbkJDQ7FixQoGIaQX7JpFRETvtebNm6N58+aGrgZRkTBkyBBDV4HeIwxEiMhg8jqmhAoHzwdR0dOzZ0+kpqYauhpEhYJjRIiIiIiISO84RoSIiIiIiPSOgQgREREREekdx4joID09HSEhIbCysso2ZzgREREREf2PEAKxsbEoV64cjIw0t3swENFBSEiIzi8dIiIiIiIiIDg4GM7OzhqXMxDRgfLttMHBwbC2tjZwbYiIiIiIiq6YmBi4uLhIz9CaMBDRgbI7lrW1NQMRIiIiIiId5DSkgYPViYiIiIhI7xiIEBERERGR3rFrFhERUS6lpaVBoVAYuhpERAZlYmICuVye5/UZiBAREeVCXFwcXrx4ASGEoatCRGRQMpkMzs7OKFmyZJ7WZyBCRESko7S0NLx48QIlSpSAo6Mj3y1FRO8tIQQiIiLw4sULVK5cOU8tIwxESKuQkBAkJiYauhpEREVCWloaUlJS4OTkxCCEiHRiZGQEU1NTQ1ejUDg6OuLZs2dQKBQMRKhghYSEYMSIEYauBhFRkeHg4IBPPvkEpqam+eoXTUTvF1dX13cyGMnvFzIMREgjZUvIxIkT+WZ5IiJktIgkJSWhbNmyMDMzM3R1qIhJSEjAF198gd9++y1PgermzZuRlJSETz75JM91OHjwILZu3QorKyssWrQIx44dw6ZNm2BsbIxly5blqqxdu3ZBCIHu3bvnuT7vO4VCgbCwMKSnpxu6KkUSAxHKkYuLC9zd3Q1dDSIig0tKSsLTp09hZmYGc3NzQ1en0Fy5cgWbN2/GggULCrzszZs3IyoqqtBb3Ldt24bIyEi9tuz/8ssvcHJygqWlJYCMPvQ7duzA/v37YWZmho8++gitW7fWuP6jR48QFxeX52srLCwMH3/8MX755Re4uroiISEBffr0wYIFC+Dq6prrclu3bo1mzZqhW7dusLCwyFOdiLRhIEJEREQqwsLCcOLEiUIp+/79+wgLCyuUsjOrW7euXsc4pqamYsmSJTh58qSUNnbsWISHh6Ndu3aIiIhAp06dsGbNGvTq1atQ6nDnzh1UrlwZQ4YMAQCcPXsW5cuXx/Dhw/NUnpOTE+rVq4ft27dj4MCBBVlVIgAMRIiIiIq9ixcv4p9//kGLFi2wc+dO2NraYtKkSXBycpLyPHnyBMuWLUN4eDhatGiBoUOHQiaTSet6e3tj586daNCgAdauXYvHjx+ja9euAICdO3fCyCj7O5Bfv36N33//HY8fP0bdunUxbtw4mJqaYuLEiWjZsqW0/oYNG/DgwQN069YNmzdvRnJyMrp27YpKlSph4cKFAIC7d+9i7dq1CA8Ph4+PDwYNGgQA2LhxIxITE2FsbIxjx47B2dkZX375JWxsbAAAb9++xa+//ooHDx6gdu3a+Pzzz2Fubo6bN28iMjISdevWBZDxUL5x40YoFAp07doVH374Yb7Kz+rs2bOwsrKCh4eHlDZjxgw4OjpKnxMSErB+/focA5FVq1bh9OnTqFKlCiZNmiRtb/ny5XBwcMBHH30EAHj+/DlmzJiBtWvX4vz585g+fbrKeYuIiMDLly/RtWtX+Pv7Y8SIETkeZ7lcjuPHj2PEiBFo2rQpPvzwQ2zdupWBCBUKvlmdiIiomAsNDcVvv/2GH3/8ES1atEBISAiaN2+O5ORkABkPrA0bNkR6ejq8vb3x66+/YuzYsSrrLly4EC1btkTjxo3h4+MjDcz/5JNP1A5IjYyMRL169RAREQF/f3+cPXsWPXv2BAD06NEDw4YNQ3BwMAIDAzFu3Dj07NkT5cuXR7169VC1alV88skn6Ny5MwDg8uXLaNmyJaysrODj44Nff/0Vs2fPBpARoEyaNAmXLl2Cn58fzp49q9Ld6uOPP0ZAQAA6deqEuLg4jBs3DgAQGBiIGzduAMgYN/Hhhx/C1dUVdevWxSeffIK1a9fmq/ysLl26JAU9SpmDEACIioqSAhxN1q5di5MnT6JNmzY4ePAgevfuLS27ceMGAgMDpc8xMTHYv38/gIzB0D4+PnB0dJTOW7t27WBnZ4dPPvkETZs2zfE4T5w4EWfPnkWnTp3g6uoKAKhfvz7Onz+vtc5EecUWESIionxITEzM1gXIxsYGcrkcUVFRKoNUjY2NYW1tDYVCgdjYWJV1LC0tYWZmhvj4eCmAsLCw0LlvvhACu3btgq2tLQYNGoQ6depg27ZtGDBgAH799Vf4+/vj559/BgC0bNkS1apVw4wZM6R67dixAyVKlAAAvHjxAgcOHJC+WVdn8eLFaN68OZYsWQIA6NWrFypWrIh79+6hefPmGD58OD7++GPExsbi66+/Rp06dQAA1apVQ1hYmErZM2bMwFdffYXJkycDAFq1aoVatWrhm2++AQB4enpK26lduzZ8fHykde/du4ctW7agQYMGAIDo6OhsdZ07dy6+/fZbTJo0CUBGgDBlyhQMHjy4QMoHMrqzlSpVSuPxunfvHtavX48DBw5IaefPn8eKFSukoAgAKlWqhL/++gsA0KlTJ7i4uOD+/fuoVq2axrIBoFy5cvjggw9w5MgR6diWLFkSW7dulT5/+OGHWo9zrVq1sHLlSpVyHR0dERkZCYVCARMTE611IMotBiJERET5cOrUKRw+fFglberUqbC3t8eSJUvw9u1bKd3NzQ2jRo1CUFAQli9frrJO79694enpiT179uDKlSsAAF9fX7Rr106nelSpUgW2trbS5w8++ED69vz+/fvw8/OTlrm7u6NUqVJ48OCBtK4yCNHVzZs38fTpU/Ts2RNCCAghkJycjAcPHqB69eqYNWsW3Nzc4OjoKAUA2sqKj4/HxYsXpbISEhIQEhICAKhRo4aUt3Tp0oiKipI+z5gxA/369UPbtm3Rpk0bdOrUKVv59+/fx5w5c6TPzZs3x7Nnz5CUlFQg5QOAmZkZYmJi1C4LCgqCv78/5s+fj6ZNm0rpL1++lFo0lBo3biz9bm9vj6pVqyIwMDDHQEQXOR3nevXqZVsnOTkZcrkcxsZ8ZKSCx6uKiIgoH1q2bAlPT0+VNGX3m9GjR2drEQEyutFMnTpVZR3lTEudOnWSgobczFSUkJCg8jkuLg5ubm4AMr4Zj4+Pl5YpH0BLliyJiIiIPH3TbWlpiQYNGqi0bAwaNAiNGjUCAOzfvx+pqal4+vQp7ty5g9q1a2sty9fXF7Vq1VIpSxlYZe0aJoSQfh8wYAB69eqFy5cvY82aNVi8eLHKgHF1+x8XFwdTU1PpvQ75LR/ICO6uXbuWLf3Fixdo3bo1xo4dm20Gr2bNmmHdunUqaerOo/LakMvlKtdTbgfj53Sc1V0HwcHBcHNz4ws8qVBwjAgREVE+WFhYwN7eXuVH+Q4JW1tblXRra2sAGQ98WddRvpfE0tJSSstNIBIYGCj15Q8LC8P+/fvRokULABnB0saNG6WH3E2bNsHCwgJVq1ZVW5aVlVW2rmNZ+fv7IyAgAL6+vujatSu6du0KIyMjlCxZEuHh4fj000+xfv16zJo1CwMHDkRKSorGsv39/fHw4UN07twZXbt2RefOnREfHy89gGuzYcMGmJiYoHnz5pg2bRrOnj0LhUKhkqdly5ZYtWqVFGD88ccf8PLyUjsAPy/lAxlT3V69elUlUAgNDUWbNm0wdOhQfPHFF9nWKVeuHPz9/VXS9u/fj/DwcADAmTNnEBISgvr16wMAnJ2dcf36dSnvtm3bcqx/Znk5zufPn9c65TBRfjAQISIiege4u7tj+PDh8PHxQe3atdG7d280b94cADBs2DC4uLigWrVq8Pb2xpgxY7BixQqN75Vo0KABoqOj0apVK3Tt2lXty9gGDhyIJk2aoFKlSvDz80PVqlWxZs0amJmZYdiwYejVqxf8/PwwduxYODo6SuNRfHx8sGfPHrRv3x4TJkwAAHz33XcIDQ2Fu7s7/Pz8ULFiRdy+fVun/T5//jzc3Nzg7++P5s2bY+zYsdm+2Z89ezbu3LmDOnXqoHHjxtixYwcWL15cYOUDGd3uatSogWPHjklpI0eORGhoKC5fviwFa+PHj9e6vcqVK6Np06Zo06YN2rdvj59//hkODg4AMo75+fPn0aRJEzRs2BB37tzRaR+U8nKcd+zYka8XLBJpIxOZ2x9JrZiYGNjY2CA6Olr6Nut98PjxY0yYMAELFy7kCw2JiPC/FxpWqlSpSL3QcPfu3ViwYAEOHTqEa9euwdbWVqX7DZDR3ejOnTuIiIhA3bp1YW9vDyDjW/tHjx5JrSdK0dHRuHLlCmJjY9GlSxeNXXNevHiB+/fvo2LFivDw8EBcXByOHDmCdu3aSS064eHhuHjxIjp27AiZTIaXL18iICAAZmZmKt+2BwYGIjg4GDVr1kTZsmUBZAzyTk1Nlbp2JScn4+DBg9KMW0BG96F79+7Bw8ND6o724MEDJCYmSjNZpaSk4MaNG1AoFKhfv740Jiav5atz+PBhLF68GHv37gUAnDt3TmrdULK2tkabNm3Urq+sS/ny5XHz5k24ublJs1dlPi9Xr16Fi4sLnJyccPbsWalV5dWrVwgMDETLli0BZEzfGxAQkG17uhxnADh9+jRmzpyJo0ePatxn0i4pKQnBwcFwcXEpUn8zCoqmv4m6PjszENEBAxEGIkREQNEPRM6cOWPoqrz3Dhw4AF9fX6l7XnEWEBAAGxsbVKhQwdBVKbYYiGh/duZgdSIiIqICknXMR3GmbYIBooLAMSJERETFXJMmTTB37lxDV4OIKFfYIkJERFTMlS1bVurrT0RUXLBFhIiIiIiI9I6BCBERERER6R0DESIiIiIi0jsGIkREREREpHcMRIiIiKjIcXd3R3BwcIGXe/z48SI1xW5aWhpatmyJ0NBQQ1elSLt+/Tp69uxp6GpQAXsvApH79+9j7dq1+Ouvv/Do0SNDV4eIiKhIO3LkiMEf1l+9eoW0tLQCLzc5ORmvX78u8HLz6s8//0TFihWlWc9SUlLwyy+/wNPTEzVq1MC4ceMQFRVV4NuNiIiAk5OT9HPnzh2t+UNDQ1XyOzk54YcffijwemlSv359hIWF4dSpU3rbJhW+d3r6XiEEOnfujCdPnqBJkyZISEjA8OHDMX36dEybNs3Q1SMiIiqSkpKSitTD+rtsyZIlmD9/vvR52bJlCA0NxdKlS2FqaooxY8Zg+PDh2Lp1a4Fu18HBATdu3AAAODs7Q6FQaM2flpaGqKgoPHv2TEorWbJkgdYpJwMHDsTSpUvRsmVLvW6XCs873SIihMBnn32GO3fuYM2aNdi8eTP+/PNPTJ8+HQ8ePDB09YiIiArEgQMH0KlTJ8yaNQu1a9dGixYtcO7cOZU8e/bsQYsWLVC1alUMGzYMb9++VVn3+++/R7169TBt2jQMHDgQN2/elL75VtcyceDAAXTs2BFTp05F7dq14enpiXPnzmHjxo2oV68eatWqle3hWVMdAODvv/9GgwYN0LhxY6xfvz7b9i5cuAB/f39UrlwZPXv2xPPnz/N8LJQy72Pt2rUxY8YMpKamqpQzZ84c1KlTB40aNcLBgwd1qtPr168xYMAAeHh4wNvbG2fOnFG7/bCwMAQEBMDLy0tKGzduHH766Sd4enqibt26mDlzJo4cOaJ2faUlS5Zgy5YtKml3797FiBEjNK5jZGQk7XtuZG4R0RaIbNy4EYMHD1ZJq1ixotQFLS/Xj4+PD/bv318oLWVkGO90IGJkZISOHTuqpLVq1QoA2EWLiIjeGUlJSfjvv/8QERGBHTt2oFevXvD395daNS5duoR+/fph3Lhx2L17N6KiotC7d2+VdWNjY7Fz505MmTIFv/32G2rWrIkbN27gxo0bkMvlare5b98+mJmZYdeuXWjdujW6dOmCHTt2YPPmzZgxYwaGDh0qdSvSVocLFy5g1KhR+Pbbb7F27Vr8/fffiI+Pl7YVGBiIdu3aoX///jhw4ADq1auHjh07Ij09PdfHIrPM+7h27Vr8999/+OOPP1TKSUpKws6dO/Hxxx+jf//+SElJybFOM2fORFpaGg4cOIAffvgBv//+u9rzdv36dbi5ucHMzExKk8lkKnlu3LgBDw8P9Sf+/3l5eUnHFQAePnwIPz8/NGvWTOt6uaVQKFC9enXUqlUL48eP19plLCEhQSXQBDICL2UQkdvrBwA8PDyQkpLCZ7h3yDvdNUudnTt3wtjYGPXr19eYJzk5GcnJydLnmJgYfVSNiIiKmTmNOiEmLKJQt2Ht5IipV/bkmM/e3h4LFy6EiYkJqlSpgp07d2Lbtm0YOXIkVq9ejU8++QQfffQRAGDlypUoXbo0goKCAGS8mX3evHnSQ7CtrS2MjY1z/La8UqVKmDFjBgDg888/x08//YTFixfD2dkZ1apVw7Rp03Dv3j00bdpUax3Wrl2LYcOGoWvXrgAyuidlfvhesmQJBg0ahIEDBwIApk+fjg0bNuDatWto1KhRro5FZpn30cnJCbNnz8Yvv/yC0aNHS/s3e/ZsAMDYsWPx7bffIigoCJUrV9Zap8TERNSoUQMeHh7w8PDQGBC8efMGNjY2Go9vYGAg5syZg82bN2s9D3Xr1sXevXvRoUMHhIeH44cffsCMGTMwaNAgrevlRrly5fDy5UsAQFBQECZPnozevXtnayXKjdxcP0o2NjaIjIzM385QkfFeBSI3b97E5MmTMXXqVGlQmDpz587FrFmz9FgzIiIqjmLCIhD1MszQ1QCQ8VBnYmIifa5atao069Tz589VegjY2dmhTJkyUiBSsWLFbN/E6yLz/6UlSpQAAJXgpUSJElLLhrY6PH/+XApCgIwZs4yN//eI8vjxY5w9exa7du2CEAJCCERGRuLZs2dqAxFtxyKz+Ph4TJ06FceOHUNkZCSSk5NRunRptfsHAJaWltL+aKvTrFmzMGHCBDRs2BCenp749NNP0bBhw2zbt7a2Vmn5yezp06fw8/PDnDlz4OvrqzZPZp6envj111/Rt29fjB49Gp9++mmO6+SGsisXkHGO//zzT1SqVAkRERFwdHTMU5m5uX6U4uLiYG1tnaftUdHz3gQi9+7dg5+fH3r37o2ZM2dqzfv1119j4sSJ0ueYmBi4uLgUcg2JiKi4sXbK2wNYYWwjLEw1IAoNDUXVqlUBAKVLl0ZISIi0LDk5GZGRkShTpgzevHmTLQjJS1CSE211cHR0VJm+NiIiQhqrAWQ8nI4YMQKff/65Spm2trZqt6XtWGT2/fff48GDB/jzzz9RunRpnD17FlOnTtVpf7TVydzcHNu2bUNaWhqOHTuGtm3bIiAgAM7Ozip5a9asiadPnyI9PR1GRv/rLf/8+XO0adMGn3/+OT777DOd6hMSEoLp06dj5MiR2Lp1K3r16lWog7qtrKwAZHSx0iTzAHiFQpHjgPichIaGQqFQ5NhVjYqP9yIQCQwMRJs2bdChQwesWLEixz+wZmZmKv01iYiI1NGly5S+vHjxAitWrMDw4cNx9uxZHD58GAsWLAAAdOvWDSNHjsQnn3wCd3d3zJo1Cx4eHqhcuTLu3buXrSwHBweEhYVBoVCotCzkh7Y6dO3aFZ9//jk++eQTuLi4SN11lAYMGICBAweiX79+qFOnDt68eYMFCxZgwoQJMDc3z9WxyOzVq1fw8PBAvXr1EBsbq3aQvCba6jR//nx0794dtWvXRs2aNSGEwJs3b7IFIm5ubihbtiyuX78utZiEhobCx8cHn332GSZMmKBTXV69eoU2bdpgyJAhmDp1Knr06IGePXti9+7deR4nEhwcDE9PT1y/fh1ly5bF33//jTJlyqB169ZITk7Gl19+iZo1a2r9ovbixYsIDg6Gi4sLVq9ejfT0dJWu77l16tQptGrVSu05p+LpnR6sDgAPHjxA69at0b59e6xatUrlGwciIqJ3Rb169bBv3z7Y2Njgww8/xOLFi1G5cmUAQNeuXTFixAg0atQIVlZWOHDgADZv3qzx/8RGjRqhcuXKsLOz0zhrVm5pq0O3bt3Qq1cvVK9eHY6OjjAzM5O66gBA69at8cMPP6BDhw6wtrZG1apVYW1tDXt7+1wfi8wmTJiAvXv3wsbGBlWrVkWFChV03h9tdfL29sbAgQNhbW2NatWqYfTo0ahTp47acoYPH46NGzdKn3/77Tc8fvwYixYtUpmhStsD/NKlS9GrVy+pNcfHxwfr16/PFtBlVbNmTen8tm3bFk5OTlIXtrS0NJV3uXh5eWHRokWws7ODvb09nj59ip07d2otv3Llyvjwww9hY2ODI0eOwM/PD+3bt9e6jjabN2/G8OHD87w+FT0yIYQwdCUKS2JiIipXrgyFQoFJkyap/MFt164dateurVM5MTExsLGxQXR09HvVL/Hx48eYMGECFi5cCHd3d0NXh4jI4JKSkvD06VNUqlSpSH0ru3v3bixYsABnzpxBUlISTE1N1QYZQggkJiaqPOQnJycjPj5e7UN9fHw8YmNj1Q5az7qeEAKvXr1SyRsZGQkrKyuYmppqrYNSSkoKjIyMYGxsjPDwcDg4OGSbsSsuLk7rtLE5HYuUlBTExsbCwcFBSouJiYG1tTUUCgWio6NRqlQptcclIiICdnZ2KuNXtNUpLi4OJUqU0PolaHx8PBo0aIDz58/D3t4ecXFxiIuLy5ZP28QBWbt25ZSuFB4enm3mMUdHR8jlcqSlpSEiIgKlS5dWKSMpKQnGxsbZjkFWq1atwt69e7F7924kJibCwsICQggkJyfD3Nw819dPYGAg+vXrh8uXLxerL5WTkpKkVqGi9DejoGj6m6jrs/M73TVLCIE+ffoAyLjZMktMTDRElYiIiAqVtocdmUyWLQDQ1h3Z0tISlpaWapdlXU8mk2V7WM78sK+tDkqZA5bMg8Yzy81L9NQdC1NT02z1Uj4omZiYoFSpUgDUHxdNg7I11UmXulpaWuLSpUuwsLCQ1sntiwI1PZjn9MCu6RgDgFwuVxv85OVhWrlvMplMWj+310+FChVw8uTJYhWEUM7e6UCkRIkSavuEEhERERUV2qbwpQzKYIbeLe90IEJERPQ+aN++faHOkFSc8FgUDf3790fPnj0NXQ0q4hiIEBERFXOc7fF/eCyKBgsLC7ZiUI7Y0Y6IiIiIiPSOgQgREREREekdAxEiIiIiItI7BiJERETvsdjYWDx79gy5ea1YYmIiQkNDNS5//vw5UlNTC6J6lA8RERFaX1eQ2/MUHx+PoKCgXF0rWeV07cTGxuLt27d5Lp+KFwYiRERE76nZs2ejXLly8Pb2Rnx8vM4BycmTJ9GpUyeNy2vUqIEXL14UZFULhUKhQFhYWLaX+uU1f27LK0yxsbFo3ry51jey5+Y8zZw5E05OTmjVqlW+3sWW+dpRF5SEhYWhdevWReIYUuFjIEJERPQeSktLww8//ID79+/j2bNnSE9Ph7e3N1JSUvRaj/T0dLx69Qrx8fF63e6mTZvg6OiIqlWromLFirhw4UK+8ue2vML266+/okuXLrC1tc13WWlpaZg7d650rWh6IWVuHT16NFtAW7lyZbi7u2Pr1q0Fsg0q2hiIEBERFXPPnj1DWlqaSlpISAgSEhLU5k9NTcWNGzeQlpYGhUKBZ8+e4c2bNzhx4oTK282VIiMjc6xDQkKC1m/fswoNDcXw4cNhb2+PmjVromzZsmjQoAG2b9+udb3c7qs6L1++xJAhQ7B582ZER0djzJgx6NOnT7Zydc2f2/Li4uIQHh6ukhYUFCTlT0hIQFhYGICMlo3MQVpcXBxiY2Nz3MdVq1ahb9++2dJ1OU+Zz3fWayUsLAwpKSl49uwZnj17hri4uFztm1J6ejrCw8NVylLq06cPVq1aleM+UvHHQISIiKiY69atG3bv3i19joqKgoeHByIiItTmDwsLQ9euXZGWlgZvb294e3ujZcuWqFSpkspD6tKlS2Fvb49q1arB2dkZJ06cyFaWEALjxo2Dvb09ypcvj1GjRuXYvevhw4do1qwZypcvjwcPHuD169eIiYnB0qVLsWjRIsyYMaPA9lWdf//9FzVq1IC/vz8AYPz48YiMjNTYipFT/tyWt3nzZgwfPlwlrWrVqlI3pUOHDsHX1xdt2rSBu7s7HB0dsXbtWnz++eeoVKkSHB0dMXXqVI37pzym9erVk9J0OU/qznfWa2Xs2LEIDAyUrhsnJye0a9dOGteR074pRUdH4+uvv1YpSxmstGjRAqdPn85XFzAqHhiIEBERFXNDhgzBunXrpM+bNm1CkyZN4Orqqja/s7MzLl++DLlcLn0bfevWLZU8x44dw3fffYcLFy4gIiIC69atQ79+/bJ1odq+fTv++ecfPH78GBERETA2NtbaOiGEQN++fbF8+XLMmDEDjo6O0jfoFStWxKFDh3Dw4EFcu3Yt1/uampoq7Y+6H+W394GBgahevbpUhpmZGdzc3HD//n2128wpf27L08WdO3fw5ZdfIjw8HCtWrMCnn34KKysrRERE4M6dO1i0aBFCQkLUrnv//n1UqlQJRkb/e8zL6TxpOt92dnYq18q2bdtQu3Zt6ZhGRkbC1tYWCxYsyNX+2dnZYfXq1SplyeVyAICTkxNMTEzw6NGjPBw5Kk74ZnUiIqJ8qDJtv8ZlO0c1Q63yNgCAz/66guP31X9rP6aNB8b5VAYAbL0cjOm7bwMAHvzQXqc69O/fH19//TVevXqFMmXKYO3atRgxYkRudiObv//+Gz179kSJEiUQHByMKlWqwN7ePluA8O+//2Lo0KEoX748AGDGjBn47bffNJZ76NAhVKtWDe3atcOtW7fQsWNHJCYmomrVqoiPj8f+/fvx7bffYs2aNWjQoEGu9vXly5fw9vbWuO0FCxagZ8+eSExMRMmSJVWWlSxZUuM38Dnlz215uqhVq5bUwtKuXTukpaVh4sSJAAB3d3dUqlQJjx49Qrly5bKtGxcXl20cR07nSdv5rly5sto6xsfHIzIyEl26dMHy5cvzvK/qWFpa6tQFjYo3BiJERETFnL29PT788ENs2LAB7du3x+3bt9GzZ898lRkaGopLly5hz549KukxMTHSN9cA8Pr1a3h5eUmfHRwcYGys+fHi1KlT6Nq1KwDg66+/xrfffothw4bh1q1b8PT0BABUq1YNS5YsUbu+tn0tX7682u5jSqVKlQIA2NraqoxJAIC3b99qHNidU/7clqcLa2tr6XcTExMAgJWVlUqapokFHBwcEBUVpZKW03nSdr6zCgoKQq9evXD79m3Y29sjNTVVpW4FITo6Gg4ODgVaJhU9DESIiIjyQddWiz8GNtIpXy9PF/TydMl1PYYMGYIvv/xS6tOf+UE2Lzw8PFCrVi38+OOPKunp6ek4dOiQ9NnV1VWlC9LDhw+1vpvi7du3KF26NICMgecffvghAKBOnTrSt/v37t2Dm5ubxjI07auuLSJ169ZVmZUpMjISDx8+lMZUpKam4sWLF3BxcYFcLs8xf07L1cncLSouLi5XA/1z0qBBAzx9+hTJyckwMzMDkPN50na+sw4+nzt3Lho1aoRz585BLpfj33//lVprLC0tVQawR0REaNw3uVyudjzRw4cPYWZmBg8Pj1zuORU3HCNCRET0DvDz88Pbt2+xbNkyDBw4MN/ljR07FqtWrcKKFStw9+5d7N+/H23bts02g9bgwYOxevVqbN26FdeuXcPIkSMhk8k0llu2bFmp9aBJkyb44YcfcPfuXSxduhTBwcE4fvw4pkyZgnHjxuV6X11dXbWOEVG2nHTp0gXJycmYMmUKrl+/jhEjRqBp06aoVasWAODFixeoVKmSNMA6p/w5LVfn9OnT2LFjB+7cuYNJkybByMgI9+7d03JGdOfo6IiGDRvi9OnTUlpO50nX8w1kjIEJCgrC/fv3cfToUZWB8w0bNsS5c+fw77//4saNG/j000811tPZ2RlPnz7F9evXVVqUjh49ig4dOqi0vNG7iYEIERHRO8DIyAgDBgxAyZIl4efnl2N+uVyOihUrqqzv6uoqPZxWrlwZJ06cwOHDh9GrVy8sWbIE06dPh6OjIywsLKTWiyZNmmD16tVYuHAhxo8fj2HDhqF69eoau2f5+/tj/fr1AIAff/wRb9++Rd++fREcHIxBgwZh79692LJli8ZxCXnZ16wsLS1x6NAh3Lp1C3369IGpqSm2bdsmLTc2Noarq6u0Dznlz2m5Ot7e3vjvv//Qv39/VK5cGVOmTMFPP/0EAChRogTKli2rsr+Zzw0AlCtXDhYWFhrLHz16tMqg/pzOk7bznfVamT59OkqWLImPPvoIixYtwrhx4+Ds7AwAqFKlCn799VfMmjUL48ePx+DBg1GlShVpO5mvndq1a+Ozzz7DoEGDVGbN+vPPPzF69Gitx4/eDTKhyytU33MxMTGwsbFBdHR0vpu6i5PHjx9jwoQJWLhwIdzd3Q1dHSIig0tKSsLTp09RqVIlmJubG7o62QwYMABlypTBzz//bOiqaNW5c2c0a9YMU6ZMybYsNTVV6xgTpeKyr+qsWrUKe/fuVZmGuKClp6ejXbt2+PPPP1WCmqLu+vXr+Pnnn7FhwwZDV6VAJCUlITg4GC4uLkXyb0Z+afqbqOuzM8eIEBERFXMxMTG4efMmdu/ejatXr0rpb9++RXR0dLb8FhYWKFOmjD6rqGL9+vXo2LEjzp07h88++wweHh548eIF/vnnH1y8eBEXL17UuK6mfSVVRkZGOHz4sKGrkWv169d/Z4IQyhkDESIiomJuy5YtWLBgAWbPno2qVatK6StWrMCyZcuy5W/VqpXUPcoQ7OzscPLkSaxZswaLFy/G8+fPpXENGzdu1Lqupn0tTqysrKQB+0TvM3bN0gG7ZrFrFhERUPS7ZhFR0cKuWdqfnTlYnYiIiIiI9I6BCBERERER6R0DESIiIiIi0jsOVqci58gvq5AYEwsLayu0nTjM0NUhIiKiYi4mLALp6ekwMjKCtZOjoatD/48tIlTkHPllFf6btRhHflll6KoQEb2zUlNTcfToUWzevBmpqak6rxcWFoZDhw5pXL5jxw7Ex8cXRBUpj06ePKn2jejFRVBQEK5cuVKgZca8eo3okFeIefW6QMstaO/b/cNAhIiI6D3Uu3dvfPXVV9i9ezcSExOxefNmpKen57jejRs3MHXqVI3LP/74Y0RERBRkVQtcQEAAdu/ejadPn2rNl5SUhM2bN0s/UVFRuVpuCEFBQRgxYkShzvIZEhKiNRjNLysrK/Tt2xdxcXGFtg1DySmQL4z7J6dtGhIDESIiovdMcnIydu3ahZMnT2Lz5s2Qy+XYvXs30tLS9FqPO3fu4J9//sHRo0cRExOjl21++eWXaN26NZYuXYq6detqfZ9KcnIydu/ejd27d6Nfv3549uxZrpYbwoIFCzB48GCYmJgU2jauXbumNRjNL3t7e7Rp0warV68utG0YyqtXr3Dy5Ml3fpu64hgRIiKiYu7YsWMIDw9XSWvSpAkqVaqULW98fDw2bNgAmUyGPXv2SOldu3aFXC5XyXv//n08fvwYNWvWRMWKFdVuW6FQ4Pz58zA2NkajRo10qu/p06cxevRoxMfHo3r16khOTsaNGzfw8ccf44cffoCZmVm+91Od27dvY/Hixbhz5w48PDzw77//YuDAgejZsycsLS2z5bexscHmzZsBANu3b8/18qyePHmCkJAQeHl5SWnbtm1Dx44dYWFhgZcvX+L+/fto3LgxLl26BHNzczRv3hxpaWk4ffo0UlNT0apVK41BRlpaGv7++2+13ZoCAwPx+PFjNGzYEGXKlNGpPkBG68e1a9fg7OyMevXqISUlBadPn8bbt2+lfe/duzdkMhmEELh27RrCw8PRsGFD6aWNedmvHj16YMqUKRg/fnyOxzWvsu5bZtqufV3uC2X5Fy5cgFwuh4uLCwCgTJkyaNWqlZRHl/tHl+1t3boV7du3h5WVlZT233//Sec78zY1lbl37140a9YM9vb2iIqKwoEDB9C+fXvY2NjgzZs3OH/+PDp06KBxf/NEUI6io6MFABEdHW3oqujVo0ePRKdOncSjR4/0ut2vyjcRn8FVfFW+iV63S0SUk8TERHH37l2RmJho6KqomDVrlujdu7fo3bu36NWrlzA2NhZbt25Vmzc8PFx06dJFyGQyaZ3u3bsLANJ+paWliYEDBwpnZ2fRsWNHUbp0abFkyRIhhBD79+8XDRs2FEIIkZCQIJo3by6qVKki2rZtK5o3by7MzMzE06dPNdb14MGDolKlSuLAgQMq6bGxsWL06NGiS5cuBbKf6vz444+idevW0uf09HTh6OiYrS7qyOVycf369TwvF0KIlStXZts/MzMzERwcLIQQYteuXcLV1VVUq1ZNdOjQQTg4OIhRo0aJVq1aiXbt2okqVaqI9u3bayz/2rVrwtHRUSUtLS1N9OvXT5QpU0a0b99eeHh4iFOnTulUn3///VfY2tqKDh06iEaNGolPPvlExMTEiBYtWgg7OzvpXKSlpYmkpCTh6+sr3NzchJ+fn7C1tRW7du3K835FR0cLIyMj8ebNG63HND09XaSlpYnU1FShUChESkqKSEpKEomJiSIhIUHExcWJ2NhY8fz6HfHs8k0RfOOuUCgUYteuXSr7NmjQIKFQKERycrLo37+/yrX/66+/5rhM+aOkLN/f31/Url1bDBgwQAghxH///ScaNGggFAqFiImJEc2aNZPun2bNmgkzMzPx8OFDaXvK+7BDhw4q20tLS5POr0KhEC1atBArVqwQCoVCpKeni5cvXwpzc3Px5s0blXtW273dsWNHsWbNGiGEEBs3bhQAxKZNm4QQQqxZs0Z06tQp2/HX9DdR12dntogQERHlQ4IiQeMyuZEcZnIznfIayYxgbmyukreESQmd6vDtt99Kv0+bNg3t2rVDjx491OZ1dHTE8uXLsXfvXukb7aioKOzcuVPK89dff+HmzZt48OABLCwsEBQUhIYNG+Kjjz5SKWvlypVISUlBQEAATE1NsXz5cpw9e1ZjPRMTEzFmzBgcOnQIHh4eePr0KQICAtC8eXPcvHkTCxYswMcff4w9e/agU6dOOu9nXFwc9u7dq3G7ylaToKAguLq6SukymQwuLi5FokuV0qtXr3Dnzh24ubnh9OnTaNmyJTZv3ozevXsjPj4e5cqVw8OHD1G5cuVs6z558gTOzs4qaWvWrMGVK1cQGBgIGxsbxMbG4t69ezrVZePGjZgzZw5GjhwJADh06BCsrKzw5ZdfYubMmdL1AwArVqxAeHg47ty5A3Nzc2zfvh3Dhw+Hn58fhBB49eoVbt68iUqVKuHUqVNo27Yt/vzzT/To0QOxsbGoUqUKrl27Bjc3N6SnpyM9PR0lS5bEtWvXUKtWLQghstVPmSaTySCTyaTf1f2bLjLGP6WlpSE0NBRr167F5MmT8eWXX8LY2BibNm1CaGgotm3bhmvXruHMmTNwdXVFYGAgmjZtihYtWuDYsWO4du0arl+/jlKlSuHmzZto3bo1WrRoAQcHBwCQWj6U5Q8cOBAAcP78eQBASkoKFAoFQkNDsWbNGsTHx+Py5cuwtrbGTz/9hHPnziE8PBxmZmbYuXMnbt68ibt37yIqKgovXrxAhw4d0KJFC1SqVEk6nzExMWjfvj3Wr18Pf39/lC1bFps3b4afnx/s7OxUjpm2e7tVq1Y4ceIEBg8ejFOnTsHf3x8nT55Enz59cPLkyWytKgWhUAOR3A4yKlmyZCHVhIiIqHA02dhE47IW5Vtgadul0mfvrd5ITE1Um7dRmUZY679W+uy/wx+n+pzKVV22bt2KXbt24cKFCzAyyvsw0EOHDqFatWr477//IISAEAK2tra4efOmSr4zZ86gd+/eMDU1BZAx0Fb50KrO7t270alTJ3h4eGDPnj0YPHgwmjZtipkzZyI6Ohpnz57FuHHjsGbNGrWBiKb9jI+Px+7duzXmL1u2LCpVqoTU1NRs3ZpMTU1zNWtYYatVqxbc3NwAADVr1gQAdOzYEQBgaWkJV1dXvHjxQm0golAoYGys+mh39OhRDBo0CDY2NgAyBoI3btxYJY8QAunp6dKDfUpKCpKSkuDp6Yk///wTZcqUQZMmTdCkSRNERUUhNjYWqampiIiIkK6PI0eOoEOHDtKAfS8vLyQlJeHs2bOIiopC1apVYWNjg7dv30rBUosWLZCQkAC5XA5nZ2cEBwejUqVKMDIygpGRkXRdWVhYSAGF0pEjR3SeHKBHjx5IgAwCgJHcCGXLlkXr1q2xdetW1KtXD15eXlKQffnyZdSqVQsXL17EpUuXkJaWBnt7e7x69UpaduzYMchkMpVltWrVUtmmsvzq1aujYsWK0vVsamoKExMTlC1bFrdv30b//v2l59+RI0fiyy+/ROnSpVG2bFlcuHAB1apVw4EDB5CWlgYhhLS9OnXqSOfT0tISQ4cOxezZs6XjtH79enz11VfZjoW2e7tVq1b4/fffAWR0n1y5ciWGDh0KIGMmtjFjxuh0vHOjUAORzP3UdKEu2iUiIqKcXb9+HRMmTMCJEyfyPWNSbGwsQkJCVMY9NGrUCJaWloiOjpbSEhMTpbEEQMZDVtZxJpldvXoVbdq0AQDMnz8fO3bsQKtWrRAVFYUKFSoAyAgatM0apG4/LS0t0bVrV43rKMsuXbo0AgICVJaFh4dLYxkMIeuzT+bxMcpg0tTUVGolkMlkSEpKQlJSkvQgqQwkrKysEB4ejjdv3khpb968QXp6OsLCwrJtOzo6GklJSXj16hUASOM8YmJiYGVlhYEDB6Jq1ao4dOgQZs2ahTp16mDhwoVSC4Spqan04JuSkgJra2uVsTYlSpSATCaDubk5LCwsUKJERgtfcnIygIwxNsrASS6XQyaTSZ9TU1MRFRWFsmXLZgtCgIwH5aCgIJ2Ocffu3aXfZcjYxueffw5PT0/s3bsX33zzDerXr48VK1YgPj4eISEhKi2EjRo1grW1tdZlWQNAZfm7d+/GN998A09PT6xevRpGRkbSfiYlJcHS0lI6zxYWFpDL5TA2NoaxsbG0vR07dmTbnnIdZdBWunRp+Pj4YOfOnfD19cWTJ0/UBvPa7u0GDRrgzZs3uHLlCpKSktC0aVOkpKTgypUriIyMRP369XU63rlR6F2zlE1ROWnatGkh14SIiKjgXex3UeMyuZHqQ/mJXic05jWSqbZgHOhxQOc6hIeHo0ePHlizZo3ab8pzq27durCzs1OZUSoqKgoWFhY4fvy4lFa9enWcP38eo0aNAgDpG2RNlA9eQMYDkTJAsLGxkb68PHnyJOrWrat2fU37qWuLSNOmTbFkyRIkJyfDzMwMjx49wtOnT/HBBx9I5ezZswddunRRCbByogwm0tLSoFAoVIKDzL8nJiYiNDRUChRCQ0ORkpKCiIgIGBsb4+3bt0hJSZGCBuU3/mFhYTAxMZG+hY+Li0NsbCwA1S5IderUQWhoKGJjY6WH/Lp16+LcuXP4/PPPpfq+efMG9vb2KFOmDN6+fSudkwcPHiAlJQXm5uYwNzdHeHg4WrZsiZYtWyI9PR1VqlTB7du3YW5ujrS0NJVWt2rVquHChQvStfDw4UO8efMGHh4eeZqO9s6dOyhVqpTU1SmrWbNm5brMzF69eoXmzZujefPm+OGHH1CuXDlcvXpV67WvbZmm8hs2bIhhw4ahVatWuHr1qkqenO6f3GwPAPr164fffvsNr1+/hp+fn9p82sqUy+Vo1qwZZs+ejZYtWwIAWrVqhdmzZ6N58+Zav2TIq0INRNzd3aWbW5e8RERExY2u4zgKM2///v3h7u6uMpNRbmaTymrixIlo0KABhgwZAi8vLwQFBWHbtm04d+6cSr5Ro0ahXr16mDhxIjw8PLB8+XKtDyvu7u4ICAiAt7c3OnXqhMGDB2PQoEE4efIk4uLisGDBAhw6dAinTqnvkqZtPzOPV8hKGQi0bdsWbm5u6NixIzp37oyVK1di4MCBsLe3R2xsLJ49e4a+ffsiICAAZcuWhRACe/fuRXJyMoQQ2L59Oy5cuAA/Pz/p2/19+/ZJy3ft2oUrV67Az89P6m6TOVBIS0vDnTt3MGPGDFSpUgXbt29HyZIlsW/fPowbNw7m5uaQy+VSYKBQKABkdF1XfuNuZGQEMzMzmJubZ91NmJqaom3btjh27Bh69uwpnaPmzZtj8ODBaNWqFc6cOYPWrVujf//+aNq0KUaMGIFZs2bB2dkZGzduVAkupk6dCjMzM3zwwQd4/PgxFAoFKlasiLi4ODx+/BirVq2Cra0tevTogc8++wxNmzbFpEmTUKNGDSxbtgzDhg2Txk7k1sGDB9GtW7c8rauLSZMmwczMDM2bN8fDhw+hUChQqVIlrde+tmVZZ3pTlt+4cWNcu3ZNKj/ziyZzun9ysz0A6NKlCz777DM8e/YMP/74o9r9zqnMVq1aYerUqVi7NqObaKtWrfDxxx9j7ty5BXHYsynU94g8evSoUPISERHR/1SpUgUODg7SOy12796N58+fa8xvYWGB3r17S59NTU3Ru3dv6SHIzs4ON2/eRM2aNXHu3DmYmJjg2LFjsLW1RdmyZdGuXTsAQMWKFXHu3DkIIfD06VNs3LgRAwYMUDsVLpDxoLRixQqkpKRg1qxZ6N69Oy5evIhu3brh22+/hYuLC06fPo0SJUogOTkZSUlJSEhIQHx8POLi4lCxYkVYWVlh69at2LJlC7Zs2YJbt27h1atXCAsLU/sTGhqKsLAwqcvSxo0b0aBBA5w5cwZ9+/bF3LlzkZiYiJSUFJiamqJbt24oUaIE5HI5TExMcOLECRw6dAhdu3bFvXv3cPjwYchkMlhaWsLS0hKnT5/GkSNHpOXKF8cpWxXMzMxgZmYGU1NTGBsbw9vbG5UrV8aNGzcwefJk/Prrr3j79i0AoFy5cvD29lY5L927d1cJDtq2bStNv6vO6NGjVb7tdnBwwNmzZ1GzZk1cu3YN/v7+6N+/P4CMrmr//fcfoqOjERQUhD/++AO9evWSvkn/448/0KxZM1y8mNHqd/ToUTg4OMDV1RUrVqzAzZs3sXfvXgghUL58eZw5cwY2Nja4desWJk6ciHnz5uVpv9LS0rBt2zYMHz5c437m1/r169GiRQspuL5w4QJKlSql9drXtkxT+RcuXACQ0dJXqlSpXN0/udkekNFFcfr06Wjbti18fHykIDjzNnMqs2PHjujduzd8fHwAZJyX3r17S+OUCppMcGBGjmJiYmBjY4Po6OhCfVNpUfP48WNMmDABCxcu1GuL1RTnDxD1Mgy25Z0w78UFvW2XiCgnSUlJePr0KSpVqqT2G+l3VeaxCJq6HeX0r7Kc2bNn4+XLl1i8eDHMzc1VZj56/vw5XF1d1c58lPV3TcuKsvXr1+PAgQPYtGlToW5n5syZGDFiBJycnAp1O4Xl9u3bOHHiRIEOjn776DlEWhrkJiZwrlu9wMrNSVJSEoKDg+Hi4vJO/s3Q9DdR12dnvU7fm5ycjEePHkmRf2aZX6ZDREREuZM1OFBO+6lcplxepkwZNG/eXBr8nDXAUFcuoDkoULdMJpNJg2iz5p8zZw6mTJmCVq1aoXfv3nBzc0NISAj27dsHACpjUChvZs6caegq5EutWrWyzUJFuktPT5da+PIze54+6C0QOXr0KPr37y/NzJAVG2aoMD169Ah2dnZSX9WQkBCp20K5cuWkAZNERIVFW0uCLq0KuQ0Urly5goMHD2bLX7t2bTRr1kxjoFDY5HI5fvrpJwwaNAj//PMPTp8+jVKlSmH06NHo0qVLoW/fkCpVqoRmzZoZuhpUQJKTk2FkZKQyJbQQAklJSTAxMck2k5a+pKenIyIiAmXLlmUgojRq1CgMHjwY48eP19i3jaiwTJ8+HV27dkWfPn0AZATGS5YsQXBwMPr27YsFCxYYuIZEZGjp6elITk5GSkoKUlJSkJycrPazpaUlYmJikJCQoFOgAGQ8nOSmRUH5u5GREYyNjfMUKPTv318aC1AU1a5dG7Vr1zZ0NfRKOQMVvRtevXoFc3Nzafrnt2/f4vnz55DL5UhJSUHp0qVRqlQpA9eyaNNbIBIUFITp06drHMBGpKuUlBQ8fPgQTk5OKrNxPHz4EA4ODpDL5Xj16hU8PDxgZGSEiIgIREZG4tGjR7hw4QLc3d0xcOBADBw4EFOmTClSL7IiIs2U3Q2UQYG6gEH5foWkpCQpPfNy5UvBlAFD5pe4AYCxsTHkcnm2H2XrQYkSJaQ3P+c3UCCiokP5RYSxsbFKC4ey1cPIyEia2lgmkyE1NRUKhQIymQxxcXHSizFr1KgBExMTJCcn486dO7l+p977Rm+BSL169RAQEKDzdL5E6pw7dw49evSAnZ0dQkJCMHLkSGlKua+//hoKhQI3b95EWloaXFxccPjwYVy6dAnXr1/Hs2fPpBcXdejQwcB7QvTuSU9Ph0KhUAkUMgcMyuAg67+ZA4XU1FS1YxaU/ypf9qUuSMi8TPlCMGtra5XP+e2mIJPJVMojouIvISEBjx49gpGRERQKBezs7FCxYkUAGe9wSUlJQWJiovTlQ5UqVZCcnIy4uDgpECldujQcHR2lMovD+IyCkN+hFXr7K7p48WIMHToUI0aMgLu7e7Zvjfz9/fVVFSrGRo0ahblz5+KTTz5BWFgY6tatix49eqBRo0YAMm6Ix48fA8h4k+qyZcvwxRdfoG3btipds4jeR0IIjYFC1haFrIGCMk/ml7Upy8z8WRkcKAMCZYCgDBaUD/DK5SVLloStra1K/qLcqiCEQFpaGqKiomBra1uk60pE/5Mq0iEgIEQ6kpKSVJYFBQXBzs4Ojo6OSE1NxZMnTxAREQErKyup5cPDwwMymQwvX77Ey5cv4eTkBCsrK5iZmUm9MzKXGx4eLs0ilZaWJr1NXh/S09NhaWkpfblTWIQQiIiIgEwmU2lFyg29BSIBAQG4f/8+xo4dq/ZlR+weQzlJSUlBQEAA+vbtCwBwcnKCr68vrl69KgUiPXv2lK6vXr16Ye/evQarL1FuCSGQmpqaY6CgDBLUdT9Stihkni41c6CgDAY0dT3K2qJgaWkJa2trlRaF9/3hOyEhAQCkN1sTUdGXEPEGQqTDSC5HoplqS0VwcDDKli2LuLg4ABn3dkJCAmxsbBAZGQkTExMEBQUBABITExETE4PExES8efMGJiYmiImJUSlPOYasdOnSCAoKwtu3b5GSkpLnh/WiTCaTwdnZOc9vXddbIDJjxgzMnDkTn3/+ufS2UaLcMDU1hYWFBSIiIuDs7Awg4xsHGxsbKU9ERITK78q5q9/3BycqOKmpqdnGJ2Qdq5CYmCj9nrVVISUlRWVcQtbxCpmDA+WDf+ZgIXOQIJfLYWFhASsrK5Xggtd74UpPT5e6ZPBYExUPB7+Yh9TYBJQsbY/Jp7apLBs6dCiWLFmCypUrAwCWLFmCevXqYcCAAVi3bh1sbGwwceJEAMC///6LI0eO4Ndff8Xff/+NihUrYsCAAVJZK1euxMmTJ/HHH3/A0tISz58/x7p16/D111/rbYbOhIQEHD9+HK1bt0aJEiUKdVsmJiZ5DkIAPQYisbGxmDBhAger51FCQgJKlCiBtLQ0REdHqyyzsLCAhYUFEhMTkZiYqLLMxsYGcrkcUVFR0jekAKS+0wqFItu3epaWljAzM0NiYiKMjY0RExODN2/eAADs7e0BQPqsZGZmBktLSyQnJyM+Pl5lmZWVlfSNQeaWLyMjI9ja2mbbp8zf5KakpKhMMdm3b18MGTIEkydPxtWrV3Ht2jVs3rxZWvfXX3+Fi4sLAGD+/Pn4+++/AWS8VfTw4cNwdXWFh4cHjI2NERgYiJCQEKSlpeHChQuoWrUq7OzscjoVVMSlpaVpnPFI+W9OA5rVBQqZp0jNTYuCubk5LC0tVYIHPry+G7TNkkVERUt0cChSo+MAhSLbiwVbtWqF0aNHY8aMGXjw4AE2bNiAr776Cubm5oiOjsa6devg7OwMGxsbTJkyBfPmzYO5uTlKlCiBAwcOoEaNGqhUqRLWr1+PpUuXYu3atXj48CGAjOejyMhIyOVyvb3QMCEhAefPn0fr1q2L/EsU9RaI1KlTB9euXUOLFi30tcl3RlxcHObNm4fp06cjISEBc+bMUVnu6+uLdu3a4dSpUzh8+LDKsqlTp8Le3h5LlixReZGkm5sbRo0ahaCgICxfvlxlnd69e8PT0xPnz5+Hm5ub9DAPQJrmNmsdGjVqhD59+uDWrVvYsmWLyrIRI0bAw8MDGzZswJMnT6R0Ozs7TJs2DdHR0Srlxf9/YBQXF4fFixerPAhWqFABT58+xahRo2BlZYVBgwZh5cqVkMlkCAwMRP369bFgwQJER0ejdevWuHr1Kq5evQpzc3McP34cffv2hY+PD8zMzPDff/9J2zxz5gw6dOigMn5JOSgt84u5MgdF2j7n5Sfzw6y2cnWpV36XFSZdpkjVFCgol6elpQHI/rZn5XnL3JqQuVVB3YBmU1NTlChRItu4BiIiencov/+RybL/ff/uu+/wyy+/4JdffoG9vT2OHDkifakJABMmTMCFCxfw5MkTTJkyBb169QIAfPrpp/jiiy8wefJkjB49Go8ePUK5cuUwbdo0aV1lSwqpJxN6+jrn66+/xtq1azFp0iRpwE9mXbt21Uc18kTX19QXljdv3mDOnDmYOnWqVI/MCqtF5Pbt2/j222/xzTffwNXVFYB+WkS+dW+J1Kg4mDvYouv2RTofpxkzZqBNmzZo1aqVzutoom7Gnsw/mr4xz7xc27LcrJv1d23101RmTsvU5dX00jVtdcm6TN27EbIOWFZOlah8+ZPy38wtCFk/M1AgIqLc2N5tDFKj4mBbvgzmvbio83ojRoxAvXr1MGLEiDxt9/Hjx5gwYQIWLlwId3f3PJWRW5mfG5XPbfqm67Oz3lpEfvvtNwDArFmz1C5XDhAi7eRyucaLShmQqKPpJZImJiZay0tNTYW1tXW2PJrWMTMzg5mZmdplmi7ErPskQ966rTg7OxdYoFiU+34rZ+1JTU1Famqqyu+aPmfNnzkoVUcZEGQdj5BTgFBQU6QSEREVqP//jiw9PXffv7u5uaFMmTKFUCEC9BiIGDLQWLhwIRYtWoRXr16hdu3aWLhwIby8vAxWHyocn376qaGrAOB/gYIuAYKmzzkFCjkFCCYmJrCwsMi2PHOXpaIaaBERERUVX375paGrkGv29vZSV/qirki8jenIkSNo27ZtoZS9evVqTJs2DVu3bkXTpk3x448/wt/fH3fv3tXb7AX5ZWxsDDc3N748q4AouxrlJUDI3MKgTeZZj9QFDCYmJjA3N9cYTDBQICIioned3p5sV61apTb99evXmDt3brZxDwXlp59+wrBhw9CxY0cAwLx58/D3339j2bJl0hu5izpra2uMGjXK0NXQm/8NKJNBoVAgMTEx1wFDToFC5nEKmloXzMzMNAYTnPmIiIiIiqKiMEZEV3oLRL7//vtsaa9evUJSUlKhzSjw5s0bBAYGqszIJJPJ4O3tjXPnzhXKNguDQqFAUFAQXF1d38mX4WSl7L2ZLtJx6tQp2Nvbqw0ITE1NtQYTDBSIiIgIAJTDT2VGfDYoSvQWiDx79ixbWmpqKr788stCaw0JCwsDADg6Oqqkly5dGpcvX9a4nnKqUCXlGzPrzz4MuVn2F8PsHNUMtcpnvFTvs7+u4Pj9iGx5AGBMGw+M88l4Wc7Wy8GYvvu22nzVy1njn9HNAQCRccn4YO5RpKWmQW78INtA7pNfeqOsTcYA9V7Lz+NGcJTaMr/pVAMDP8iY+Wr5ycf45dADtfm8KpfCmk88AQDP3iYjoNow+K8OhEyWPX/ALD+YGWe8xKbtLyfxPDJBbZmL+9RD+9plAQBz9t3DurPP1ObrVLccfu5VFxDAGxcPXO49FvJUYyBcNZ+5MfC7z//eRzPmaDySpMm40v7/JwUA8IWnOarZZ9Rx5a1kXAxNhTptXU3Qp5opAOByWCr+uJmsNl/pEjLMaZFxDSjSBUYeVr/PADCruQXKl8wYtL3wahLuvFbfStO9sgk+dMvY9rHnCmy8l6I2n5utEaY2yTjXb5LS8eXJRLX5AOCX1iVgbZpxrcw+n4jnMerHnAyqaYqWzhnB7T+PUrDnsUJtvrql5RhbP2Mu8qCYNHx3Pknjtle1+9+5mXwyAW+T1A8MHFPfDPVKZ/wJ+vteMo4/V39uvJyN8UnNjAkQbr9OxaKr6s9NSVMZFrX+3/054nA8UjUMtZnSxBwethnXxbIbSbj6Sv25aV/JBD2qZJyb8yGpWB2gfttlSxrhu+YZ5yYxVWDsUc3XxQ9eFihjmXFd/HQ5EYFv1FeyV1VT+FXMODeHnimwNVD9dVHV3giTPTO2/So+HdPOaL4ufvMpAQvjjOvim7OJCI1Tv+2htc3QtFzGudnxIAX7n6q/LhqWkWNkvYzr4lFUGuZdVH9dGBsBy33/d118fjwBcSnqr4vPG5qhVqmMba+7k4wzL9RfF60rGKN/9Yzr4kZ4Kn6/rv7c2JnL8FOr/10Xww7Gq80HAN80NYerdcZ18dv1JNwMV39ddHI3QRePjOvi1AsF/ryj/txUsDbCt00zzk1MisDE45qvix9bWcDePOO6mHMxEU+i1J+bftVN0aZCxnWx70kKdj5Uf25qlpJjQsOMc/MyLh0zzmq+Lpb5loDJ/z+cTT2dgPAE9efms7pm8HTKODeb76fgSJD6bTcpa4xP62Scm/tv0rDgsvrrQvvfclX8W86/5erk5m+58ukpqGJtVJm2X20+99IlsX98xmsmYpMUaPjdEfUbBnBoQktULJVxjAasuohLT9+ozTescSnp9zVnnmLe/vtq8zWuZI8Nw5oAAJ69joffwlMat331m7awMs843+0Xn8bjcNVx2AICafJWqH83Av29MlpEFhwMxIpTT7KVBQDtajnht771AQDXnr9Fnz8uqM1nIpfhzmx/6XOTOUfwNl79tba4R1WN9c/MoFPbGBsb49tvv8Xu3bv1ul0hhNZvy+fOnQsbGxvpJ/Nc0qQ/MgBCaB+0TURERJQTKYziS0iLFL29R0STly9fonXr1njwQP039Pnx5s0bODg4YMeOHejevbuUPmDAAAQHB+PkyZNq11PXIuLi4lIk3iOiz75+hpj7GgDG2tWGIioW5g62qPPjOERGRuZq2tncTDPLaWeJiIjefdu7jkFqdBysy5bGjyGX9LZdQzxLxcfHY8+ePejUqRMsLS1zXqEQFLn3iJw5cyZbWnR0NH755Rd0795dZXlBTa1rb2+PqlWr4vjx41IgIoTAiRMnMHDgQI3raXsXBumXm5sb3NzcdMqbnp4uDVjXNJBd+VZuTYPctcXlmd/YndNAd76Ij4iIiAzB0tISffr0MXQ1dKK3QKRFixYalx07dgzz58+XPhdkI80XX3yB8ePHw9/fH02bNsX8+fMRFRWV5zdkGoKlpSV69+5tsKhW7zLNmpUbRkZGMDIyKrQB/ZkDHU0zdynfLK8pGMop0NElqNE2kxcDHSIiovdbcnIybt26hTp16hT5L9b1FogkJmoejFWYhg0bhpiYGIwcOVJ6oeGBAwfg6upqkPrkhZmZGTw9PQ1dDb0pqvNZ6CPQyWlqYnVTGWf+Paf656fbGqcsJiIiKvri4+OxZcsWuLu7MxBRMjc319emspk4cWKhTRGsD0Whr58+KRsNBN6vAWVGRkYwNTWFqalpjnmFELn+UQYsCoUiW6CTOcBRtvyo+z0rZWAik8lU3s2S+cfExETlX00BDwMdIiIqLMr/XthzoGgp1EDE2dkZL168KPC875vk5GRcuXIFTZo0gY2NjTRg/c0b1anizMzMYGlpKXUPyszKygomJiaIiYlR+ebcyMgItra2SEtLyzaNsnLAfnJycrZt2djYQC6XIyoqSuUB1djYGNbW1lAoFIiNjVVZx9LSEmZmZoiPj1eZDACAyj4puy+lp6UjIiIi1w/cANT+m/V3dcuU+6IpT07b1fQgnTU9p8855ZPJZNLDf9afrOmZPyvHuZiYmGhcT9nFK/OPMkjIvDxzucpjpAxclMFO5oBHoVBIP0lJSVAoFEhJSVFJV3fulL9n7oKW+UdZB10mImCgQ0REVHQUaiDy8uVLnDhxQue8pJ6pqSlkMhmWLFkCAFiwYAEAqLyoEQAaNWqEPn364NatW9iyZYvKshEjRsDDwwMbNmzAkyf/m0fazs4O06ZNQ3R0tNryAODWrVtYs2aNyjLlDF5LlizB27dvpXQ3NzeMGjUKQUFBWL58uco6vXv3hqenJ/bs2YMrV66oLMu8T8q3ostkMunt5jk9LKt7OM66TmEsy5qPCocQQgpckpOTs/2r/ElKSkJSUpIUjGfOo1AotAakysAm83ibrIFOThMR8BogIiqalN9t5TT7JulXoU7fm9v/lA08k7BGuk5BVpji4uKQkpLxciR9tYiEhYVhypQpmDdvHpycnFSWFWaLyLxa/ogJDYdteSfMe6H+pTpEBSk9PR0KhUIKXDIHOikpKVJwk/Vf5U9KSoo065qm1jl1LTqZA2lOLU1EVHjep+l7FQoFgoKC4OrqWmjjWnNSJKbvVXa1oPwrWbJktjRN7xTRNv2wpotBLpdnK0/Z0mFmZqZxW7a2tmrTTUxMNK5jaWmpcayLvb09H7hI74yMjAp12u709HS1AU7mQEbZmqMMchISElSWK2ddUxfsAFDbbS23LTpERFT8mZiYwMPDw9DV0EmhBiLGxnobC09EVGQZGRnB3Ny80CbtSEtLk4KbrAGO8nPWQCdr17XM00trCnQyBzvKlhzl75xamoioaIiJicGGDRswYMAAg/Xk0RUjBSKiYk4ul8PCwgIWFhaFUr4y0FEX4GTtuqb8PTY2ViW/cjID4H/d1ZSfle/QyetEBJxxjYhylMd3lBVHqampePLkSY7T+hcFDESIiEirwgx0lFNLqwtwNHVbyzxGR7lOenq6xlnuMgc3mVtoMrfqcGpponeb8g7mvVy0MBAhIiKDUbaGGBsbF8p7koQQSE1N1SnQUQY5CQkJKi1AyhnXlOWpC3Q4tTRR0Sakf4vmxEjvK70FIj/++CMGDRqUbfYlIiKiwiKTyWBiYlJoM8dknVpa3WQEmqaWVubNPLW0uoAnc5CjDFw4tTRRLilflpz+7gciRkZGsLOzKxZj8/QWiCxbtgzTpk1D+/btMWTIEHTs2JGD2YmIqFiTyWQwNTWFqamp2tkN8ysvU0vHxcXlOLV05okINE0trctEBJxamqjosbW1xbRp0wxdDZ3oLRJ48uQJjh07hjVr1qBfv36wtrbGwIEDMWTIEFSvXl1f1SAiIio2DD21tLoWnZymllaWq8SppYn0S/luOOU734oyvQUiMpkMPj4+8PHxQXR0NDZu3Ig1a9ZgwYIF+OCDDzB06FD079+/0GZ9ISIiIlVFeWrprIEOkH1qaZlMlq1FJ3Nrji4vC2W3NXrXREdHY86cOZg6darGd7oVFQbpG2VtbY3q1aujevXquHXrFl6/fo2vv/4aU6dOxZ9//gl/f39DVIuIiIgKkD6mls46+YC6rmuJiYlScJN1aunM00pnDXgyTy2deXyOciY1Ti1djPz/aTAy4vkoSvQaiAQHB2P9+vVYu3YtQkJC0KNHDxw8eBDe3t5ITk7G4sWL8emnnyI4OFif1SIiIqJiSC6Xo0SJEihRokSBl511amldJiLIy9TSmQMc5e+cWrrgydT8Roant0DE398fhw8fRq1atfD5559jwIABsLOzk5abmZnhiy++wFdffaWvKhERERGpZaippbO26GibWjo1NTVbi07mlp3Mkw2871NLK+dnECJde0bSK70FIhUqVMD58+fRuHFjjXmMjIzYGkJERETvvHdpaunMEwvkZiICQwykFu/+7L2wsLCAr69vsRh3rbdAZMWKFTrlc3Z2LuSaEBEREb3biuLU0rGxsSqBUOYZ15Rlcmrp/LOwsEC7du0MXQ2d8EUeRERERJQrhphaOvO/OU0trQx0gP8f75OeJpWtnN42M+WkComJiUhMTFRZppwGNyoqKtvU1NbW1lAoFIiNjVVZx9LSEmZmZkhMTISxsTFiYmLw5s0bAJBmslJ+VjIzM4OlpaXUOpWZlZUVTExMEBMTg9TUVCndyMgItra2KvuUnJyMW7duoWXLlkW+VYSBCBEREREVKQU9tfRXC7chOjYRMplMmt42M19fX7Rr1w6nTp3C4cOHVZYpp8FdsmQJ3r59K6W7ublh1KhRCAoKwvLly1XW6d27Nzw9PXH+/Hm4ubnh77//lpYtWLAAALLVoVGjRujTpw9u3bqFLVu2qCwbMWIEPDw8sGHDBjx58kRKt7Ozw7Rp07Ltk0wmQ/PmzXNziAyCgQgRERERvdOUg+5lMhlsbGwwdepUleXKloOWLVvC09NTZZmNjQ0AYPTo0dlaRADA1dU1W3nKCQ6aNm2K/fv345tvvoGrq6tKnqzrKFuX6tSpA3d3d5VlVlZWAIABAwZkaxFR1jFzeYXVJa+gMRAhIiIioveGXC7X+KI/be+9sbW1VZtuYmKitbzU1FRYW1tny6NpHW1d3qytrdWma9unouz9HMVDREREREQGxUCEiIiIiIj0jl2zqMhpO3EYEmNiYWFtZeiqEBER0TuAzxZFEwMRKnLaThxm6CoQERHRO4TPFkUTu2YREREREZHeMRAhIiIiIiK9YyBCRERERER6x0CEiIiIiIj0joEIERERERHpHQMRIiIiIiLSOwYiRERERESkdwxEiIiIiIhI7xiIEBERERGR3jEQISIiIiIivWMgQkREREREesdAhIiIiIiI9I6BCBERERER6R0DESIiIiIi0jsGIkREREREpHcMRIiIiIiISO8YiBARERERkd4xECEiIiIiIr1jIEJERERERHrHQISIiIiIiPSOgQgREREREekdAxEiIiIiItI7BiJERERERKR3xoaugD6cPHkS586dg7GxMby8vNC0aVNDV4mIiIiI6L32TreIpKeno3Hjxpg5cyZiY2Px8uVLtGvXDuPGjTN01YiIiIiI3mvvdIuITCbD0qVL0ahRIymtXbt2+PDDDzF8+HDUqlXLgLUjIiIiInp/vdMtIjKZTCUIAYD69esDAF68eGGIKhEREREREd7xFhF1/vzzT5ibm2cLUDJLTk5GcnKy9DkmJkYfVSMiIiIiem8Uu0Bky5YtuHz5stY8X3/9NRwcHLKlnzp1Ct988w1++uknlCpVSuP6c+fOxaxZs/JdVyIiIiIiUq/YBSI2NjZwcnLSmkcul2dLu3jxIjp16oRJkyblOFj966+/xsSJE6XPMTExcHFxyVuFiYiIiIgom2IXiPj7+8Pf3z9X61y6dAnt2rXDiBEjMGfOnBzzm5mZwczMLK9VJCIiIiKiHLzTg9UB4PLly/Dz88OIESMwf/58Q1eHiIiIiIhQDFtEciM+Ph7t2rWDmZkZUlNT8cUXX0jLevXqhcaNGxuwdkRERERE7693OhAxMjLC1KlT1S6zsLDQc22IiIiIiEjpnQ5ELCwsVFpBiIiIiIioaHjnx4gQEREREVHRw0CEiIiIiIj0joEIERERERHpHQMRIiIiIiLSOwYiRERERESkdwxEiIiIiIhI7xiIEBERERGR3jEQISIiIiIivWMgQkREREREesdAhIiIiIiI9I6BCBERERER6R0DESIiIiIi0jsGIkREREREpHcMRIiIiIiISO8YiBARERERkd4xECEiIiIiIr1jIEJERERERHrHQISIiIiIiPSOgQgREREREemdsaErQEVXcnIyAODx48cGrgkRERFR8RMcHGzoKhRpDERIoxcvXgAAfv/9dwPXhIiIiKj4srCwMHQViiQGIqTRBx98AABwdnaGmZmZgWtDREREVPxYWFigXLlyhq5GkcRAhDSytraGn5+foatBRERERO8gDlYnIiIiIiK9YyBCRERERER6x0CEiIiIiIj0joEIERERERHpHQMRIiIiIiLSO86apQMhBAAgJibGwDUhIiIiIiralM/MymdoTRiI6CA2NhYA4OLiYuCaEBEREREVD7GxsbCxsdG4XCZyClUI6enpCAkJgZWVFWQymaGr886LiYmBi4sLgoODYW1tbejqUDHH64kKGq8pKmi8pqggFYXrSQiB2NhYlCtXDkZGmkeCsEVEB0ZGRnB2djZ0Nd471tbW/INMBYbXExU0XlNU0HhNUUEy9PWkrSVEiYPViYiIiIhI7xiIEBERERGR3jEQoSLHzMwMM2bMgJmZmaGrQu8AXk9U0HhNUUHjNUUFqThdTxysTkREREREescWESIiIiIi0jsGIkREREREpHecvpeKFIVCgaCgINjb28Pe3t7Q1aFiLDQ0FJGRkSppZmZmqFy5soFqRMVRYmIiHj9+jPLly8POzk5tnvj4eISEhKB8+fIoUaKEnmtIxY3yb1PNmjWzvZvs8ePHSExMVEmzt7dHuXLl9FlFKkYSExPx6tUrODs7w9hY/WN9amoqgoKCYGtrCwcHBz3XUDu2iFCRsWPHDpQtWxZeXl4oW7Ys+vTpg6SkJENXi4qpH374Ac2aNUOfPn2kn0mTJhm6WlRMBAcHY9KkSXB3d0edOnWwY8cOtfm+/fZblCpVCt7e3ihVqhS+//57PdeUiosjR46gU6dOqFy5MmrXro3k5ORseXr06AFfX1+Vv1t//PGHAWpLRd3169fRoUMHlC5dGq1bt4aNjQ2mTJmCrEO/9+zZg3LlyqFZs2YoV64cunfvjoSEBAPVOjsGIlQkPHr0CP369cOsWbMQFhaGJ0+e4Ny5c5g2bZqhq0bFWJs2bXD79m3p599//zV0laiYuHz5MsqVK4eAgACYmpqqzbNx40b89NNPOHbsGF6+fIl9+/Zh9uzZ2LVrl55rS8XBkSNH8Omnn2L16tVa802aNEnl79asWbP0VEMqTs6fP48xY8YgOjoaT58+xYkTJ7BkyRL89ttvUp7nz5+jV69e+Oqrr/Dq1SsEBQXhxo0bmDx5sgFrroqBCBUJa9euRenSpTFq1CgAQPny5TFq1CisWbMGqampBq4dFVfp6el48uRJti5aRDnp3r07Jk2apLUbwx9//IEuXbqgadOmAABvb2/4+fnxG2xSa968eejcuTPkcrnWfMnJyXj48CHi4+P1VDMqjkaNGoX27dvDyCjjUd7T0xNt2rTBsWPHpDzr16+HlZUVJkyYAABwcnLCuHHjsH79erUtcobAQISKhKtXr6Jx48Yq/WWbNWuGqKgoPH782IA1o+Jsz5498Pb2RoUKFVC9enWcOHHC0FWid8jVq1fRpEkTlbRmzZrh6tWrBqoRvQtmzJgBX19f2NnZwdfXF0+ePDF0lagYSEtLw/379+Hi4iKlXb16FZ6enlKwAmT8jYqPj8f9+/cNUc1sGIhQkRAZGZntm0fl59evXxuiSlTMNW/eHI8ePcLz58/x9u1b+Pj4oFOnTnj27Jmhq0bvgOTkZMTHx6v9uxUZGZmtnzaRLoYNG4bXr1/j2bNnePHiBVJSUtCtWzcoFApDV42KuO+++w4vXrzA2LFjpbTi8GzFQISKBGNjY6SkpKikKZsNTUxMDFElKub69u0Ld3d3AICpqSkWLlwIY2NjjYOOiXJD2b1G3d8tuVyebTYkIl2MGTMGtra2AIDSpUtj8eLFuHXrFq5du2bYilGRtnLlSsyZMwd///03qlSpIqUXh2crBiJUJLi4uCA0NFQlTfk5czMjUV6ZmJigTJkyCA4ONnRV6B1gbGyMsmXLqv27VaFCBQPVit41zs7OAMC/W6TRmjVrMGbMGGzcuBFdu3ZVWVYcnq0YiFCR0Lp1a5w+fRpxcXFS2n///YeqVauibNmyBqwZFVdZuzK8ePECT548QdWqVQ1UI3rXtG7dGvv27VNJ27dvH1q3bm2gGlFxlvWbawA4efIkAPDvFqm1bt06jBw5Ehs2bEDPnj2zLW/dujUuXLiAt2/fSmn//fcfKlasiEqVKumzqhrxhYZUJHz88cf45Zdf8NFHH+Grr77CzZs3sXLlSvz999+GrhoVQ2lpaWjUqBHGjRuHWrVq4cWLF5gxYwbc3NwwcOBAQ1ePioGEhARpkLAQAiEhIbh9+zZsbW2lb6m//vprNG7cGBMmTED37t2xadMmPHnyBNu2bTNk1amICgkJwZs3b6TWjbt378LU1BQVK1ZEyZIlcfXqVcycORPDhg2Dq6srrl27hunTp6N3796oXbu2gWtPRc3mzZsxdOhQTJ8+HdWrV8ft27cBABYWFlK35H79+uGnn37CRx99hGnTpuHevXv4/fffc5xCWp9kgiPqqIgICQnBzJkzcfXqVTg4OGDEiBHo3r27oatFxdSTJ0/w888/49q1a7C1tUWLFi0wfvx4WFpaGrpqVAxcv35dbdDaqVMnzJ07V/p8+fJlzJs3D0+fPoW7uzumTp2K+vXr67OqVEx899132LJlS7b0P/74A82bNwcAnD59GsuXL8fDhw9Rvnx5dOvWDQMHDuSYI8pm4sSJOHToULb0WrVqYfPmzdLnV69eYebMmbh8+TLs7Ozw6aefolevXvqsqlYMRIiIiIiISO84RoSIiIiIiPSOgQgREREREekdAxEiIiIiItI7BiJERERERKR3DESIiIiIiEjvGIgQEREREZHeMRAhIiIiIiK945vViYioSDp06BDS09NhamqKNm3aFPr2zp49i9jYWACAj48PTExMCn2bRETvM77QkIiIiiRjY2PUq1cP7u7uat9IXdBGjBiBgIAAnDt3DhEREShVqlShb5OI6H3GQISIiIokY2Nj7N27F/7+/nrb5o0bN1C/fn0GIkREesAxIkREVOiCgoJw8OBBpKamSmkpKSk4ePAgXrx4oXM5Bw4cQGRkpEramTNn8Pz5c+nzsWPHEBYWhtjYWFy4cAEBAQHSssjISJw8eRKPHz/Ox94QEVFBYCBCRESFrmTJkhg8eDBmz54tpU2bNg3Dhw9HyZIldS6nffv2uH79ukrasGHD8O+//0qfe/XqhY8//hjVq1fH5MmT0bRpU3Tv3h1LlixB3bp1MW3aNNSuXRszZszI/44REVGecbA6EREVOgcHB/z5559o3749/Pz8kJycjEWLFuHo0aOwtbUt8O2Fh4fj7t27sLa2xunTp9GyZUu8fPkS9+/fR8mSJbF//3507twZY8aMgaOjY4Fvn4iIcsZAhIiI9KJt27YYP348BgwYAIVCgS+//BItW7YslG0NHToU1tbWAAAvLy+YmJjg008/lVpfWrdujdTUVDx48ICBCBGRgbBrFhER6c3s2bMRGRkJIQRmzpxZaNvJPNBcJpPB1NRUJc3c3BwAkJiYWGh1ICIi7RiIEBGR3vz444+wtLTE27dvC2xK3swD4ImIqPhg1ywiItKL8+fPY86cOdi7dy8CAwMxevRoeHl5oWLFirkq59mzZ9LvUVFRuZp1i4iIig4GIkREVOhiY2MxYMAAjB49Gn5+fvDz88OBAwcwcOBAnDhxAnK5XOey5s6dCyEErK2t8ccff8DU1BRnzpxBt27dUL58+ULcCyIiKkjsmkVERIVu+/bt8PT0xLx586S0tWvXwtbWFkePHtW43tWrV3Hs2DGVtG+//Ra3bt3C7t27MXr0aGzduhVpaWkIDw8HAPj4+KBs2bIq6/j6+qJMmTIqae3atVMZN3L27FmcO3cuz/tIRES5wzerExFRkdShQwekpaXBxsZGGk8ik8lw+PBhtG3btsC3N2LECKnb19atW6VZt4iIqHAwECEiomKjMAMRIiLSL3bNIiKiYiNrdyoiIiq+2CJCRERERER6xxYRIiIiIiLSOwYiRERERESkdwxEiIiIiIhI7xiIEBERERGR3jEQISIiIiIivWMgQkREREREesdAhIiIiIiI9I6BCBERERER6R0DESIiIiIi0jsGIkREREREpHcMRIiIiIiISO8YiBARERERkd4xECEiIiIiIr1jIEJERERERHrHQISIiIiIiPSOgQgREREREekdAxEiIiIiItI7BiJERERERKR3DESIiIiIiEjvGIgQEREREZHeMRAhIiIiIiK9YyBCRERERER6x0CEiIiIiIj0joEIERERERHpHQMRIiIiIiLSOwYiRERERESkdwxEiIiIiIhI7xiIEBERERGR3jEQISIiIiIivWMgQkREREREesdAhIiIiIiI9I6BCBERERER6R0DESIiIiIi0jsGIkREREREpHcMRIiIiIiISO8YiBARERERkd4xECEiIiIiIr1jIEJERERERHrHQISIiIiIiPSOgQgREREREekdAxEiIiIiItI7BiJERERERKR3DESIiIiIiEjvGIgQEREREZHeMRAhIiIiIiK9YyBCRERERER6x0CEiIiIiIj0joEIERERERHpHQMRIiIiIiLSOwYiRERERESkdwxEiIq56OhoeHl5Ydu2bTrl9/Hxwa+//lrItVKV2zoWtuTkZHTo0AH79u3T63ZDQkLQokUL3L17N1/lFLXjmRsvX76El5cX9u7da+iqZGOIe6Mg5LfeRfmcFFXF+R4kKkoYiBAVcwqFAmfPnsXLly91yn/27Fk8efKkkGulKrd1LGwLFy7EzZs30aZNG71ut1y5cnB0dMSkSZPyVU5RO565kZiYiLNnzyIsLMzQVcnGEPdGQdCl3hEREfDy8sLOnTuzLSvK5ySrdevWoWPHjoauRrG+B4mKEgYiRMWcra0tTp8+jV69ehm6KhoVpTomJCRg/vz5GDt2LMzNzfW+/S+++AIHDhzAuXPn9L5ten8lJyfj7NmzCAkJMXRV8mXVqlWwsrIydDWIqIAwECEq5oyNjeHl5YVy5coZuioaFaU6bty4ETExMRgwYIBBtt+sWTO4u7tj2bJlBtk+UXEVERGB8+fPo0uXLoauChEVEAYiREXcpUuXMHLkSPj7+6NXr15YsGAB4uPjpeWa+iqnpaVh+fLl6NixIzp27IgVK1ZACKFxO6dPn8bw4cPRtm1bdO7cGb/99huSk5M15o+Pj4e3tzd++eUXtcu7deuGyZMna62jLtvt3bs3Zs2apbLO+PHj4eXlhcuXL0tpISEh8PLywp49ezTWGQC2bduGOnXqoHz58irpP/30E1q2bIn79++rpG/evBleXl44evSo1nLHjh0LLy8vtT9r1qxRydu+fXvs2rULCoVCJX3q1Knw8vJCXFyc1m1p4u3tLW2zTZs2GDRoEP755x9peUJCAtq0aYMFCxZkW1cIga5du0rnTCmn85N5fMG9e/fw2WefoXXr1jq1+AQEBGDw4MFo27Ytxo4di6CgoFzvU9Y6PHjwAJ9++il8fHwwatQotWXm5t7I6f7TxND1ziwgIADdu3cHkNEtUVmvhQsXZsurSz2A3P+9AHJ3j6izZ88eyOVytG/fXmOe/NzHmc+HLtemOoVx3gHdjnder1UigxJEVGQdPHhQyOVyMWbMGLFv3z6xe/du8dVXX4nWrVtLeSIiIgQAsXDhQpV1e/bsKczNzcWcOXPEf//9J7744gsxefJkYWZmJsaPH6+Sd9asWdJ29uzZI9auXSsqVqwoWrRoIZKTkzXWr1OnTqJMmTJCoVCopJ86dUoAEOvXr9daR122O2jQIOHs7Cytk5ycLCwtLYVMJhPTp0+X0tetWycAiHv37mmsr0KhEJaWlmL48OHZlkVFRQl3d3dRo0YNERcXJ4QQIiAgQJQoUUJ89NFHGstUunXrljh9+rTKT58+fQQAsWjRIpW8f//9twAgzp49q5LepUsXAUC8fftW67Y0Hc8zZ85I2963b5+YOnWqMDU1FfPnz5fy9OrVSzg4OIjExESVdQ8ePKhyzoTQ7fw8fPhQABCff/658PHxEX///bf4/fffxcGDB9XWXZl//PjxwsfHR2zatEls2rRJNGzYUDg4OIj79+/nep+UZU6ePFm0b99ebNq0SWzbtk1Uq1ZNuLi4ZNtXXe8NXe4/TQxZ76yio6PFzp07BQAxYcIEqV6PHz/OUz3y+vciN/eIOl26dBF+fn5a8+TnPs7NtZmfe7Awjnd+rlUiQ2IgQlSEDRw4UFSrVi1bemxsrPS7uv8Qd+/ene2hUgghpk+fLmQymcpDy5kzZwQAMW/ePJW8jx49Eqamptn+o81MuZ3du3erpH/88cfC2tpaxMfHa6yjrtv966+/BABx584dIYQQx48fFwBE7969RePGjaX1+vfvrxKwqBMUFCQAiB9++EHt8uvXrwtzc3PRt29fERMTI6pUqSKqVKkiYmJitJarzo4dO4SRkZFo3769SE1NVVmm3Pc1a9aopN+9e1ecPn06W/6sND0EqTNz5kxhbm4ulXnixAm110bXrl1Vzpmu50f5UOXi4iISEhKkfFmDUyVl/goVKqjkj42NFY6OjqJdu3a53idlme7u7iIpKUnKd/nyZQFArF69WkrLzb2hy/2XG/qqtzrBwcECgPjtt9+yLctNPfLz9yIrbfdIVgkJCaJEiRJiyZIlOZab1/s4N9dmfu7BwjjeBX2tEukLu2YRFWEODg54+vQptm/frtKNp2TJklrX++eff2BmZoZ+/fqppA8ZMiRbV44NGzZAJpNh5MiRKunu7u7w9PTU2tWpQ4cOcHJyUulWERsbi+3bt6Nfv34oUaKExnV13W7btm0BAIcOHQIAHD58GHXq1MGgQYNw5coVvH37FkIIHDlyBL6+vhq3BwCRkZEAADs7O7XL69Wrh99//x2bNm1Cw4YN8eLFC+zYsUNlcGyfPn1UupTMnz8/WzkXL17EgAEDULt2bWzduhVyuVxlub29PQDg9evXKunVq1eHl5dXtvy6CgkJwezZs9GlSxe0bNkSXl5e2LRpE5KSkqRZlVq1aoVatWph6dKl0novXrzAnj170LdvX+mc5fa66NmzJywsLKTPxsbGWuv60UcfqeQvWbIk+vbtiyNHjqh0TdNlnzKXaWZmJn1u1KgRzM3NcefOHSktN/dGXu8/Q9c7r3SpR37+XmSW0z2S1eHDh5GQkIDOnTvnWLYu97E2ul6b6hT0edf1eOfnWiUyJO3/UxCRQU2dOhW3b9/GRx99BCsrKzRr1gz+/v4YOnSo1v9Ug4ODUb58+WwPgxUqVICRker3D0+ePIGxsbH0H7zIaCmFEAL3799HqVKlNG7H2NgYH3/8MX7++WeEhYXByckJmzdvRnx8PIYOHap133TdrpOTE2rXro2DBw/i888/x+HDh+Hr64tWrVrB2NgYR48eRZUqVfDq1ascAxHlw0VSUpLGPEOHDsWKFStw6dIlfP/996hVq5bK8itXruDx48fS52rVqqksf/r0KTp37gx7e3v8999/ah8EEhISAACWlpZa65sbjx8/RuPGjeHh4YERI0agQoUKMDMzw6FDh/Ddd9+p9BUfOXIkRo8ejWvXrqFBgwb4448/kJaWpnLOcntdVKxYMVf1dXV1zZZWsWJFpKWlISQkBFWqVMnVPmkq08HBAeHh4dLn3Nwbeb3/DF3vvNKlHvn5e6Gkyz2S1T///IOGDRvC2dlZp33J6T7WRpdrU53COO+6Hu+8XqtEhsZAhKgIc3R0xOHDh/HixQucOHECx48fx/Tp0/Hbb7/h+vXrsLa2VrteiRIlEBsbmy09NjYW6enpKmkWFhawsLDA999/r7aszN8MqjN06FDMnz8ff/75J7788kusWbMGderUQaNGjbSul5vt+vr6Yvny5QgNDcXVq1fx/fffw9LSEs2aNcOhQ4cQFBQEmUwGHx8frdssW7YsgIzZdzTZunUrLl26BDs7O/zxxx8YMWIEHBwcpOVbtmxBYmKi9NnJyUn6/e3bt/jwww+RmJiIQ4cOZRsQr6RsCVHWpyAsWbIEsbGxOHToEGxsbKT0s2fPZss7cOBATJkyBcuWLcPSpUuxatUq1K5dG56enlKe3F4X2lq/1FF3fUZHR6uUlZt9AjS3wmRuMcjNvZHX+8/Q9c4rXeqR378Xut4jmaWnp2Pv3r0YM2ZMjnmVcrqPtdHl2lSnMM67rsc7r9cqkaExECEqBpydnTFgwAAMGDAAPj4+6N+/P86cOYMPP/xQbX5PT0/8+++/ePjwISpXriylq/sPsUWLFvjnn39gZ2eHmjVr5rpulStXRsuWLbFmzRp07NgRFy5cwOLFi3NcLzfb9fX1xS+//ILZs2fDxMQELVq0kNJXrlyJ58+fo27duihdurTWcmxsbFCtWjXcuHFD7fLAwEAMGzYMnTt3xs8//4xGjRphwIAB2LdvH2QyGQCgYcOGatdNSUlBt27d8OjRI+zZswd169bVWI9r164BAJo2baq1vrkRGRkJe3t7lQcgANi/f3+2vFZWVhg4cCDWrVuHxo0bIywsDFOmTFHJk9/rIifqrsWzZ8+iXLly0rfeudknXeXm3lDK7f1XVOqdmampKYCMmbfyIz/XRW7ukczOnz+P8PBwnaft1eU+1kaXa1OdwjjvuT3eub1WiQyNY0SIirCff/4Z169fV0kLDAyETCZDhQoVNK43bNgw2NraYvTo0VKf5tDQUKxbtw4mJiYqeYcPH47KlStj4MCBePjwoZQuhMDevXvVTrmrbnuBgYH47LPPYGZmptM7OnKz3ZYtW8LU1BSrVq2Cl5eX9C2gr68vnj17hqNHj0pjSXLi5+eHixcvIjU1VSU9ISEBPXr0gKOjI9avXw8PDw+sXbsWBw4cwA8//KDTMTh58iSWLFkCf39/rXnPnDmDOnXqqLSmAPmbvveDDz7Aq1evsG/fPilt4cKFiImJUZt/9OjRSEhIwLhx42BqaprtnBXEdaHNy5cvsWXLFunzX3/9hSNHjqhMH5zbfdJFbu6NvN5/hq63Oo6OjrC0tERgYGCe6wDk77rIzT2S2T///INKlSqhTp06OebN730M6HZtqlMY513X453Xa5XI4PQzJp6I8mL37t3C09NTlCpVSjRq1Eg4OzsLZ2dnldmWtE0j6erqKkqWLCnq1KkjqlevLgICAtRO9RkSEiJ69uwpTE1Nhbu7u6hTp46wsrISXbp0ETdv3syxngkJCcLGxkaazSorTXXMzXa9vb0FAJVpMNPS0oS9vb0AoHG62KwCAgIEALF3716V9AEDBghzc3Nx7do1lfRJkyYJIyMjceTIEa3lWlpaCnNzc9G8efNsP5lnwXn9+rUwMTFRO3tRfqbvTU1NFQMHDhRGRkaiVq1aoly5cmL48OHSrGPXr1/PVo7ymPbq1UvtdnQ5P8oZgFauXKm1zkrK/MuXLxdDhw4Vbm5uomLFisLExERMmTJFpKen53qftNWhfPnyon///ipput4butx/6hi63posWLBAyOVyUatWLdG8eXPxyy+/5Kkeef17oes9klXVqlXF559/nuP+CZG/+zg312Z+7sHCON55vVaJDE0mRAFNt0FEhSYyMhLPnj2Dvb09KlSooDLDTGpqKi5cuAA3N7dsby5PT0+XZmCpUaMG5HI5zp07h7Jly6JSpUrZthMbG4tHjx7BxMQE7u7uOfb3zuz27duIioqCu7t7trEP2uqo63afPHmCkJAQ1KxZU2XWq1u3biEmJgaNGzeWup/kxN/fH2ZmZtKLxlJSUnDp0iU4ODigevXq2ep+8eJF2Nraau0acf78eY3dXipUqCB9K/nzzz9j3rx5ePz4cbZ+2/fu3UNkZCSaNm2qdRYhbcczPDwcwcHBqFChAhwdHfH69Wvcv38f9evXzzY4/quvvsKPP/6IgwcPws/PT+P2tJ2fpKQkXLlyBZUrV0aZMmU0lqEpf0hICF6+fAkPDw+Ns5nltE/a6nD58mXY2NhkG2Ccm3tD2/2njaHrrc6bN2/w6NEjpKSkoFy5cnBzc8tTPYDc/73Q9R7JLDAwENWqVcPx48fh7e2ttfz83sePHj1C5cqVsXLlSgwbNkzrtZmfe7Awj3der1UiQ2EgQkTvnYCAANSvXx8XL17UOOajMCQkJMDNzQ3ffvstRo0apbftalK5cmWkpKTg6dOnBTbzElFB+vHHHzF//ny8evUqxymh8ytrIEJEhY+D1YnovVO7dm1cuXJF4zfwhSUlJQXbt28v0EHqeXXw4EE8evQIixYtYhBCRVaXLl3Qvn37Qg9CiMgweGcT0XupXr16et+mra0tvLy89L7dzI4ePYpp06bhxo0b8PPzKxItM0SaVK1a1dBVIKJCxK5ZRETvkdevXyMwMBClSpXiQx5RJrkd70RE+cdAhIiIiIiI9I4dg4mIiIiISO8YiBARERERkd5xsLoO0tPTERISAisrK8hkMkNXh4iIiIioyBJCIDY2FuXKldM6MyMDER2EhITAxcXF0NUgIiIiIio2goOD4ezsrHE5AxEdWFlZAcg4mFnfhExERERERP8TExMDFxcX6RlaEwYiOlB2x7K2tmYgQkRERESkg5yGNHCwOhHR/7V371FV1fn/x19yOyjKTUe8AWpeE7Ok8oalS/M2jqZmlprpmP0ydbIylZzJLBvKsVXZ3dTSyq+XStPyWpqBSorh3VTSAm+oCBxAAYH9+8PlmTlxDgLBhoPPx1pnLc9nfz77vPeePafzYu/P3gAAwHQEEQAAAACmI4gAAAAAMB1BBAAAAIDpXHKyekxMjH755Rf99a9/Vf369Yvsu337dh05csSuLTAwUIMHDy7PEgEAAAAUwaWCyLfffqtp06bJw8ND+/bt09atW28YRD799FNt3LhRPXr0sLU1bNiQIAIAAABUIJcKIm5ublq2bJn8/f1L9IDB8PBwLViwoBwrAwAAAFASLhVE+vbtK0k6depUicZduHBBS5culZ+fn+68804FBQWVR3kAAAAAismlgkhp/frrr1q9erVOnz6t+Ph4zZ07V08++aTT/jk5OcrJybG9t1qtkqT8/Hzl5+eXe70AAACAqyru7+UqH0QeffRRvf322/L09JQkffTRRxo/frw6duyo9u3bOxwTFRWlWbNmFWq/fPmyPDyq/C4DAAAASu3y5cvF6lflb9/bqVMnWwiRpHHjxikwMFCbNm1yOiYyMlLp6em2V1JSkhmlAgAAADeNm/LP+9WrV9elS5ecLrdYLLJYLCZWBAAAANxcqtwZkZiYGH311VeSrl2f9sezGTt37lRSUpI6depUEeUBAAAAkIudETl+/Li2bdum1NRUSdeeK5KQkKD27dvb5nt88sknio2N1eDBg2UYhvr27avOnTurTZs2SkxM1Pz58/Xggw9q4MCBFbkpAAAAwE3NpYLIhQsXFBsbK0kaO3asUlNTFRsbq7p169qCSNeuXdWwYUNJkoeHh/bs2aPly5crPj5eAQEBWrNmjbp3715h2wAAAABAqmYYhlHRRVR2VqtVfn5+OnXqlHx9fSu6HAAAAKDSslqtatSokdLT04v87Vzl5ogAAAAAqPwIIgAAAABMRxABAAAAYDqCCAAAAADTEUQAAAAAmI4gAgAAAMB0BBEAAAAApiOIAAAAADAdQQQAAACA6TwqugAAAAAApbftncXKsWbJ4uujeyc+WtHlFBtBBAAAAHBh0e8sUfqZ8/JrUNelggiXZgEAAAAwHUEEAAAAgOkIIgAAAABMRxABAAAAYDqCCAAAAADTEUQAAAAAmI4gAgAAAMB0BBEAAAAApiOIAAAAADCdyz1ZPS8vT998841++eUXDR8+XCEhITcck5mZqbVr1yo5OVlt27ZVjx49TKgUAAAAgDMudUZkxYoVuuWWWzRv3jxFRkbqxIkTNxxz+vRp3XbbbZo7d64OHTqkESNG6KGHHpJhGCZUDAAAAMARlzojUr9+fW3fvl2SFBwcXKwx06dPV0BAgHbu3CkvLy8dPnxYt912mx588EENHjy4PMsFAAAA4IRLnRHp2rWrGjVqVOz++fn5WrVqlR599FF5eXlJkm699VZFRERo5cqV5VUmAAAAgBtwqTMiJZWYmKisrCy1bNnSrr1ly5b66aefnI7LyclRTk6O7b3Vai23GgEAAICbkUudESmpzMxMSZKfn59du7+/v22ZI1FRUfLz87O9insZGAAAAIDiqdJBxMfHR1LhMxrp6em2ZY5ERkYqPT3d9kpKSirXOgEAAICbTZUOIiEhIfL29lZCQoJde0JCglq0aOF0nMVika+vr90LAAAAQNmpckFk/fr1WrhwoSTJw8ND/fv312effab8/HxJ0okTJ7Rt2zbumAUAAABUIJearH7gwAF9++23tkutli5dqtjYWEVERCgiIkKS9OWXXyo2NlZjx46VJM2ZM0edO3dWjx49dPfdd2vFihW67777NGzYsArbDgAAAOBm51JBJDc3V2lpaZKkadOmSZLS0tKUnZ1t69OvXz+FhYXZ3jdp0kQHDx7U8uXLlZycrLlz52rw4MFyc6tyJ4MAAAAAl+FSQSQ8PFzh4eFF9nF0yVXt2rX15JNPlldZAAAAAEqI0wIAAAAATEcQAQAAAGA6l7o0C9dse2excqxZsvj66N6Jj1Z0OQAAAECJEURcUPQ7S5R+5rz8GtQliAAAAMAlcWkWAAAAANMRRAAAAACYjiACAAAAwHQEEQAAAACmI4gAAAAAMB1BBAAAAIDpCCIAAAAATEcQAQAAAGA6HmjowrKyLuudd96p6DIAAABQgTIzsyq6hFIhiLgwwzDUtm3bii4DAAAAFSjZ01P5FV1EKXBpFgAAAADTEUQAAAAAmI4gAgAAAMB0BBEAAAAApiOIAAAAADAdQQQAAACA6Vzu9r0pKSlasWKFkpOT1bZtWw0aNEhubs7z1OrVqxUbG2vXVq9ePU2ePLmcKwUAAADgjEudETl58qTatm2r5cuXKysrS88++6z+9re/qaCgwOmYDRs26Ntvv5W/v7/tVatWLROrBgAAAPBHLnVGZNq0aWrcuLG+//57ubu7a/z48WrZsqWWL1+uhx9+2Om4li1bavr06SZWCgAAAKAoLnNGJC8vT2vXrtXIkSPl7u4uSWratKnuvfdeffXVV0WO/e233/TSSy/prbfe0p49e8woFwAAAEARXCaIJCYmKjs7W82aNbNrb9asmY4dO1bkWIvFouzsbP3888/q3LmzpkyZUmT/nJwcWa1WuxcAAACAsuMyl2ZlZWVJknx9fe3a/fz8bMscmTJlil14GT58uPr06aP+/furW7duDsdERUVp1qxZf75oAAAAAA4VO4j07NmzRCv+7rvvSlxMUWrWrClJSk9Pt2tPS0uzLXPkj2dQevfurYYNG+rHH390GkQiIyP1zDPP2N5brVYFBweXsnIAAAAAf1TsIPL9999r2rRpxer72muvlbogZ0JCQuTj46OjR4+qd+/etvajR4+qdevWJVpXfn6+srOznS63WCyyWCylrhUAAABA0Up0adarr75arH7lEUTc3d01aNAgLVmyRE888YS8vLx0+PBhxcTEaMWKFbZ+X331lRITEzV58mTl5eUpLi5OHTt2tC3/8ssvde7cOfXo0aPMawQAAABQPMUOIgcOHCj2SkvStyReffVVde3aVZ06dVJ4eLjWrFmjBx54QIMGDbL1WbdunWJjYzV58mRVq1ZN06dPl5ubm9q0aaPExERt3LhRM2bMIIgAAAAAFajYQSQsLKzYKy1J35Jo2LCh9u/frzVr1ig5OVkPPvhgobkrQ4YMUadOnSRdO4vyww8/aMeOHYqPj1enTp30xhtvqGnTpuVSHwAAAIDicZm7Zl1Xs2ZNDR8+3Onyvn37Fmrr3LmzOnfuXJ5lAQAAACiBUgWRc+fOKTIyUjExMUpNTS20/OLFi3+6MAAAAABVV6mCyKhRo2S1WvXss8/K39+/jEsCAAAAUNWVKojExMTo5MmTCgoKKut6AAAAANwE3EozKCgoSFevXi3rWgAAAADcJEoVRKZMmaInn3xSp06dKut6AAAAANwEShVEIiIiFBMTo+DgYFksFnl7e9u9AAAAAKAopZojMmbMGLVr105jx45lsnoFqlatWrk9PBIAAACuwVWnTJQqiBw5ckRJSUmqU6dOWdeDEvDxqaGJEydWdBkAAACoQLPfWaV0a1ZFl1Fipbo0q3HjxsrKcr2NBQAAAFA5lCqITJw4UePGjdPx48dlGEZZ1wQAAACgiivVpVnXLwdq0aKFw+WEEwAAAABFKVUQ2bx5c1nXgVLIzMzSO++8U9FlAAAAoILUqFGjoksotVIFkZ49ezpd5qqz9l2Rp6en2rZtW9FlAAAAoIK48h1USxVELl686LS9Z8+ePOgQAAAAQJFKFUT+8pe/OF0WHh5e6mIAAAAA3BxKFUTi4+MLtZ06dUovv/yyRo8e/WdrAgAAAFDFlSqI3H777Q7bWrVqpd69e2v8+PF/ti4AAAAAVVipgogz9erVU0ZGRlmuslLp920/uVd3L9Q+v9t8tfRvKUmKjI3UjnM7HI4f3XK0xrQeI0n65rdv9J+9/3HYr7lfcy3ovkCSlJqTqvvX32+3/PYrqfKSlF6QrvT8dPm5+0mSPkz/UEl5SQ7X2d+nvzp6d5QkbbuyTZsvO77zWTPPZhrtO1qSlJyXrLfT33bYT5JeDHxRHtWuHUJvpL2hlPwUh/0eqvmQwixhkqR1Weu0I9vx/mlnaaehNYdKkk5cPaFF1kUO+1mqWfSvwH/Z3r986WXlGDkO+/7d9+9q6tlUkrQyc6X25exz2K+zd2f18+knSTqYc1DLMpc57Ffbvbae9n9akpRn5OnFSy867CdJk/wmKcgjSJL0ifUTJVxNcNjvvhr36d7q90qSYrNj9U3WNw77BXsE6//5/T9JUnp+uv6T5vj4kaTpAdNV062mJOnd9Hd1Nu+sw373+9yvO73vlCR9f/l7bb2y1WG/Vl6tNLLWSEnSmbwzei/9PaefPbv2bNu/56TOkbXA6rDfiFoj1NqrtSRpbdZa/ZT9k8N+4ZZwDao5SJJ0LPeYlmQscdjPp5qPIgMjbe9npsxUvvId9n3c93GFeIZIkv4v4/90KPeQw373VL9HvWr0kiTtzdmrLzK/cNivrntd/cP/H5Kk7IJszU6d7bCfJE32n6w67nUkSQutC3Xy6kmH/frW6Ksu1btIkrZf2a71l9c77NfEs4nG+o6VJF3Mv6g30950+tn/DPinvN28JUnz0ubpfP55h/0eqPmAbrfcLknadHmTfrzyo8N+bbza6OFaD0uSEq8mar51vsN+7nLXrNqzbO+jLkUpy3D8UNxRtUaphde1W8OvylylPTl7HPbr4N1Bf/P5myTpSO4RfZ7xucN+vm6+mhow1fb+nyn/dNhPkp70e1INPBpIkj7L+Ey/5P7isF/36t3Vo0YPSVJcdpxWZ6122K++R31N8JsgScosyNSrqa86/ezn/J/ju5zv8kL4Lue73JE/fpcn109W+BWrvCRduHJB966+dhzOCJ+hXsHXtvvDQx9q6fGlDtd3b4N79dLdL0mSDl46qAk/TnDYz9PNU98N+M72fsC6AUrPTXfYd2bYTKf1/69SPdDQkYKCAr3xxhsaM2ZMWa0SAAAAQBVVzSjF0wfr1KlTqC0zM1M5OTkKDAxUtWrVbO3O7rDlSqxWq/z8/HTq1Cn5+vpWdDma3aqH0s+cl3dtf/X8xHlaBwAAQNV24MABpb2zSulnzsuvQV3985fvK7okWa1WNWrUSOnp6UX+di7VpVkV+RC9xMRELV68WMnJyWrbtq1Gjx4ti8VS5mMAAAAAlJ9SBZGHHnqorOsolsOHD6tLly7q1q2bOnbsqHnz5mnJkiX64Ycf5OnpWWZjAAAAAJSvYs8RmThxYrFXWpK+JTFt2jS1b99eX331laZNm6bvvvtOe/bs0aefflqmYwAAAACUr2IHkXfffbfYKy1J3+LKzc3Vxo0b9dBDD9nmoNSvX1/du3fX2rVry2wMAAAAgPJXokuz/P39y6mMG0tMTNTVq1fVuHFju/YmTZooOjq6zMZIUk5OjnJy/nsLQavV8S3rAAAAAJROsYPIypUry7OOG7py5YokqVatWnbttWrVsi0rizGSFBUVpVmzZjldXllcvXpVBw4cqOgyAAAAUEFq1KihtIouopSKHUQeeOCB8qzjhq7f+is1NdWu/dKlS05vC1aaMZIUGRmpZ555xvbearUqODi4VHWXp5o1fcptPg4AAABcw+w5jh/qWtmV2QMNy1twcLB8fX11+PBhu/ZDhw4pLCyszMZIksVika+vr90LAAAAQNlxmSDi5uamYcOGadGiRcrKypIk7d69W7GxsXr44Ydt/RYvXqyZM2eWaAwAAAAAc7lMEJGkf//73/Lw8FC7du00ePBg9ezZU+PHj1ffvn1tfaKjo/Xll1+WaAwAAAAAc5XqgYaxsbFq0aKFAgMDHS7r2LHjny7MkTp16iguLk5bt25VcnKyXnjhBd1+++12fUaPHq1+/fqVaAwAAAAAc5UqiHTq1EnBwcFavXq12rdvX2iZYRhlUpwjnp6e6tWrl9PlERERJR4DAAAAwFylvjSrV69eioiI0LJly8qyHgAAAAA3gVKdEZGkBQsWqF27dho1apT279+v2bNny83NpaacAAAAAKggpQ4ikjRp0iSFhYVp6NChOnDggD7/3DXvYQwAAADAXH/6FEb37t21e/du/f777+rUqVNZ1AQAAACgiitVEOnSpYvd+yZNmmjnzp0KCwtT7dq1y6QwAAAAAFVXqS7NiomJKdTm4+Oj5cuX/+mCAAAAAFR9zC4HAAAAYDqCCAAAAADTEUQAAAAAmO5P3b4XAAAAQMXqOnGUcqxZsvj6VHQpJUIQAQAAAFzYvRMfregSSoVLswAAAACYjiACAAAAwHQEEQAAAACmI4gAAAAAMB1BBAAAAIDpCCIAAAAATEcQAQAAAGA6gggAAAAA0xFEAAAAAJjO5Z6sfujQIc2fP1/Jyclq27atJk2aJF9fX6f9P/jgA23YsMGuLTQ0VG+99VZ5lwoAAADACZcKInFxcbrnnns0fPhw3XfffZo/f76WL1+uXbt2ydvb2+GYvXv36vz585o6daqtrajgAgAAAKD8uVQQiYyMVI8ePbRgwQJJ0uDBg9WoUSMtWrRITz75pNNxDRo00P33329SlQAAAABuxGXmiGRnZ2vr1q0aMmSIrS0gIEA9evTQ+vXrixy7f/9+DR8+XOPHj9fSpUtlGEZ5lwsAAACgCC4TRJKSkpSfn6/g4GC79uDgYJ08edLpOA8PD3Xt2lV9+vRRSEiIJk+erIEDBxYZRnJycmS1Wu1eAAAAAMpOhV6aNW/ePG3ZsqXIPh988IHq1aunnJwcSVKNGjXsltesWVPZ2dlOx7/yyivy8/Ozve/Xr5/uuOMOff31104v14qKitKsWbOKuRUAAAAASqpCg0hERIRCQkKK7FOrVi1JsoWJ1NRUu+UpKSkKCAhwOv5/Q4gktWvXTo0bN1ZcXJzTIBIZGalnnnnG9t5qtRY6EwMAAACg9Co0iLRv317t27cvVt9GjRopMDBQ+/btU79+/Wzte/fuVbt27Yr9mYZhKD09XR4ezjfdYrHIYrEUe50AAAAASsZl5ohUq1ZNI0eO1MKFC21nRbZs2aI9e/bokUcesfV799139dRTT0mSrl69qsWLF9vNB3nttdeUmpqqAQMGmLsBAAAAAGxc6va9s2fP1t69e9WyZUu1atVKcXFxeuGFF9StWzdbn/j4eMXGxkqS3N3dFRMToxdeeEEtWrRQUlKSUlJStHjx4mKfiQEAAABQ9lwqiNSqVUs//PCD4uPjlZycrLCwsEJzNyZOnKjhw4dLktzc3PTRRx/p/PnzOnDggAICAtSqVatCE94BAAAAmMulgoh07RKtos5m3H777YXa6tatqx49epRjVQAAAABKwmXmiAAAAACoOggiAAAAAEzncpdmQeo6cZRyrFmy+PpUdCkAAABAqRBEXNC9Ex+t6BIAAACAP4VLswAAAACYjiACAAAAwHQEEQAAAACmI4gAAAAAMB1BBAAAAIDpCCIAAAAATEcQAQAAAGA6gggAAAAA0xFEAAAAAJiOIAIAAADAdAQRAAAAAKYjiAAAAAAwHUEEAAAAgOkIIgAAAABMRxABAAAAYDqCCAAAAADTuVwQiYuL02OPPaaIiAjFx8cXa8yOHTs0YsQI9ezZU08//bSSk5PLuUoAAAAARXGpIPLCCy/oiSeeUNOmTbV9+3alp6ffcMyPP/6obt26KTg4WJMmTdLBgwfVpUsXZWZmmlAxAAAAAEeqGYZhVHQRxZWamqqAgACdOnVKwcHB2rp1q7p161bkmK5du6p+/fpasWKFJCkrK0v169fXiy++qGeeeaZYn2u1WuXn56dTp07J19f3z24GAAAAUGVZrVY1atRI6enpRf52dqkzIgEBASXqf/nyZe3YsUMDBgywtfn4+Khnz57avHlzWZcHAAAAoJhcKoiUVFJSkgoKCtSwYUO79oYNGyoxMdHpuJycHFmtVrsXAAAAgLLjUZEf/u9//1vr1q0rss/y5csLBYniunr1qiTJ29vbrr169erKzc11Oi4qKkqzZs0q1WcCAAAAuLEKDSJDhw7VPffcU2Sf2rVrl3r9gYGBkqSUlBS79pSUFNsyRyIjI+3mj1itVgUHB5e6DgAAAAD2KjSING/eXM2bNy+39Tdo0EBBQUHas2eP+vfvb2vftWuXunTp4nScxWKRxWIpt7oAAACAm12VmyPy2muvadSoUbb3Y8aM0YIFC3T27FlJ0urVq3Xw4EGNGTOmokoEAAAAbnoVekakpNavX69XXnnFNr9j0qRJ8vPz09///nf9/e9/lyQdP35cP//8s23MzJkzdfToUTVr1kyhoaH67bff9NZbb6lDhw4Vsg0AAAAAXOw5IufPn9exY8cKtYeEhCgkJESSlJCQoIyMDN1xxx12fRITE5WcnKwWLVrIz8+vRJ/Lc0QAAACA4inuc0Rc6oxI3bp1Vbdu3SL7NGvWzGH7/4YVAAAAABWrys0RAQAAAFD5EUQAAAAAmI4gAgAAAMB0BBEAAAAApiOIAAAAADAdQQQAAACA6QgiAAAAAEznUs8RqWg1atRQjRo1KroMAAAAoNLKy8srVj+CSAm4u7vL3d29ossAAAAAKq3i/l7m0iwAAAAApiOIAAAAADAdQQQAAACA6QgiAAAAAExHEAEAAABgOoIIAAAAANMRRAAAAACYjiACAAAAwHQ80LAYDMOQJFmt1gquBAAAAKjcrv9mvv4b2hmCSDFkZGRIkoKDgyu4EgAAAMA1ZGRkyM/Pz+nyasaNogpUUFCgM2fOqFatWqpWrVpFlyOr1arg4GAlJSXJ19e3osupstjP5Y99bA72sznYz+ZgP5uD/WyOqrqfDcNQRkaGGjRoIDc35zNBOCNSDG5ubmrUqFFFl1GIr69vlTpoKyv2c/ljH5uD/WwO9rM52M/mYD+boyru56LOhFzHZHUAAAAApiOIAAAAADAdQcQFWSwWzZw5UxaLpaJLqdLYz+WPfWwO9rM52M/mYD+bg/1sjpt9PzNZHQAAAIDpOCMCAAAAwHQEEQAAAACmI4gAAAAAMB3PEamECgoKdPjwYeXn5yssLEzu7u7lMuZml5GRoYSEBDVo0EBBQUE37L99+3b9cUpV06ZN1aBBg/Iq0aUVFBRox44dhdpbtGihunXrFjn26tWrOnjwoLy9vdW6devyKrFKSEpK0u+//+5wWceOHeXhUfhrPicnR7t37y7U3qZNGwUEBJR5ja7st99+06lTp3TnnXfK29vbYZ9ff/1VaWlpat26tWrUqFGs9ZZmTFWWkJCgc+fOqVOnTg7/+5WTk6OjR4/K399fwcHBN3y48P79+2W1Wu3a6tatqxYtWpRp3a7myJEjunTpkrp06VJo2Z49e3TlyhW7toYNG6pJkyZFrtMwDB05ckS5ubkKCwtz+J1zszlw4ICuXLmiu+++2649NTVVhw4dcjimbdu2Tp+7ERsbq7y8PLu20NBQBQcHl03BFYjJ6pXM4cOHNXDgQGVmZsrd3V3u7u768ssvdeedd5bpmJvZiRMnNHXqVH3//fdq3Lixfv31V3Xp0kWffvqp6tSp43Sch4eHWrVqJX9/f1vbU089paFDh5pQtevJzMxUrVq1dNttt6lWrVq29hkzZqhv375Ox23dulUPP/ywqlevroyMDDVs2FBr1qxRaGioGWW7nCVLlmj+/Pl2bceOHVNWVpZSUlIc/nj+7bff1KRJE4WHh9stnzNnjjp37lzuNbuCLVu2aM6cOYqLi1NKSoqOHz+uZs2a2fVJTU3VoEGD9PPPP6tevXpKTk7W/PnzNWzYMKfrLc2Yquybb77R3LlztX//fqWmpio1NdXuO9ZqtWrGjBn67LPPFBISonPnzqlevXpasmSJ2rVr53S9HTt21NmzZ+1+qPXu3Vv/+te/ynNzKq3ly5frjTfe0LFjx2S1Wgv9qJVkO77r1atna3vwwQf1j3/8w+l6ExISNHDgQF24cEHVq1fX1atXtXLlSodB52awcOFCvf3220pMTJSXl5fOnTtnt3zHjh2aOnWqXdvp06f122+/ad++fbrtttscrtff31/169dX7dq1bW2PP/64Ro0aVfYbYTYDlUZ+fr7Rpk0b44EHHjAKCgoMwzCMRx991AgNDTVycnLKbMzNbtOmTcYXX3xh218pKSlG27ZtjaFDhxY5zt3d3Vi/fr0ZJVYJGRkZhiRj586dxR6Tnp5u1K5d25g6daphGIaRm5trdO/e3ejatWt5lVnlFBQUGI0bNzbGjBnjtM/JkycNScbx48dNrMy1vPXWW8a6deuM7du3O91XI0eONMLCwoz09HTDMAzj7bffNry8vIyTJ086XW9pxlRlr776qrFlyxZj7dq1hiQjNTXVbvmxY8eMt99+27hy5YphGIaRk5NjDB061GjSpEmR6+3QoYPx8ssvl1fZLmfmzJnGjh07jI8//thwd3d32OeWW24x3n///RKt96677jL69etn5OXlGYZhGBMmTDDq1atnZGVl/emaXdG0adOM+Ph44z//+Y8RFBRUrDEDBgww7rjjjiL7+Pn5GStXriyLEisdgkglsmPHDkOSsXfvXltbQkKCIcnpD+DSjEFhs2fPNurXr19kH3d3d2PRokXG7t27jYsXL5pUmeu6HkRWrlxpxMXFFfqB4ciSJUsMT09Pu74bNmzgR3MJbN682ZBk7Nixw2mf60Fk8+bNxs8//2xYrVYTK3QtO3fudHj8ZWRkGF5eXsaCBQtsbXl5eUadOnWc/gAuzZibhbMg4sj174TTp0877dOhQwdjypQpxq5du4xTp06VYaWu7UZB5JVXXjF27dplnD179obr2r9/vyHJiImJsbWdOXPGcHNzq7I/mouruEHk7NmzhoeHh/Hee+8V2c/Pz8949913jd27dxvnz58vqzIrBSarVyLx8fHy8PCwOzV3yy23KDAwUPHx8WU2BoXt3r270GUXjkyZMkVjx45Vw4YNNWDAAJ0/f96E6lzb+PHjNXr0aAUFBWnYsGFKS0tz2jc+Pl5Nmza1uzTj+jW2HM/Fs3DhQrVp00adOnW6Yd9Ro0Zp5MiRql27th577DFdvnzZhAqrhsOHDys3N1fh4eG2Nnd3d7Vv397psVqaMShs9+7dqlmz5g3n9r333nsaN26cbr31VrVv31779+83qULXFRUVpXHjxqlZs2aKiIhQQkKC077Xj9n/PZ7r16+vRo0acTwX0+LFi+Xl5aXhw4ffsO+MGTM0duxYhYSEqHfv3jp9+rQJFZY/gkglcunSJQUGBhaahFe7dm1dunSpzMbA3rJly7RmzRr985//LLLf+++/rwsXLmjfvn1KSEjQr7/+qjFjxphUpevx8PDQkiVLdOHCBR04cEBHjhzR7t27NWHCBKdjLl26ZHcNrHTt2lg3NzeO52K4dOmSVq1apXHjxhXZr3r16lq1apXOnDmjQ4cOKT4+XmvWrFFkZKRJlbq+68fjH4/XG31fl3QM7O3bt09RUVF6/vnni7wpy4QJE3Tx4kXt3btXp0+fVnBwsO6//37CdhFmzJihlJQU7d27V0lJSfL09NSQIUMczieRrh3PNWrUKDQPjeO5+BYtWqQHH3zQ6ST16+bOnauLFy9q3759OnnypC5evFis8OIKCCKViKenp7Kzswu1X7lyRV5eXmU2Bv+1adMmjR49Wq+//rp69epVZN9x48bJze3a/2UaNWqkf/3rX1q3bl2hO7PgGm9vbz3yyCO2902bNtXUqVP1xRdfOP0Pm6PjOTc3VwUFBRzPxfD5559Lkt1+dyQoKEj333+/7X2bNm30j3/8Q8uWLSvP8qoUT09PSSp0vN7o+7qkY/Bfx48fV9++fTVkyBBNnz69yL6PPPKIqlevLkmqWbOmXn/9dZ08eVI//fSTGaW6pDFjxtiOw4CAAEVFRWn//v06cuSIw/6enp7KyckpdDdJjufiiY6O1rFjx274hyNJeuyxx2zBu169epo1a5Z+/PFHnT17trzLLHcEkUokNDRUVqtVGRkZtrbc3FxduHBBISEhZTYG12zevFn333+/Zs+eraeffrrE469fFnDmzJmyLq3KCgoKUm5uri5evOhweWhoaKHTzdffczzf2MKFCzVkyBAFBgaWeGxQUJDOnz/vNCTC3vW7uDk6Xov6vi7pGFyTkJCg7t27q3v37vr4449vePveP7r+fV1VLmcxw432WWhoqPLz85WcnGxrKygo0Llz5ziei2HhwoW69dZbS3Wnwqp0PBNEKpHu3bvLw8NDa9eutbVt3LhRubm56tmzp63tp59+UmJiYonGwN7333+vgQMH6sUXX9SUKVMc9omJibGFjKysrELLN23aJB8fHzVu3Lg8S3VZzvbZX/7yF9tzRPLz8xUTE2Oba3PfffcpOTlZu3btso35+uuvVbNmzWLNebiZxcXFad++fQ7/upadna2YmBilpqZKcv6/TcuWLXkGQDE1a9ZMTZo00Zo1a2xtp06d0p49e3TffffZ2g4dOmR7bkBxx8DeiRMn1L17d91zzz1asmSJw0uy9u3bp2PHjkm69hf5goICu+WbNm2SJIWFhZV/wS7I0SVrmzZtUrVq1XTrrbfa2uLi4nTy5ElJUteuXWWxWOyO523btiktLY3j+QasVqtWrlzp9GzIzp07lZSUJMn597WXl5eaN29ernWaoqJny8Pec889Z9SuXdtYtGiR8emnnxr169c3Hn/8cbs+tWvXNmbMmFGiMfivnTt3GjVq1DCGDBliREdH273+lyTjjTfeMAzDMD755BNj4MCBxpIlS4z169cbzz77rOHp6Wm8+eabFbAFruGtt94yhg0bZnz++efGt99+a0yYMMHw8PAwPv74Y1uf1NRUQ5Jd26BBg4xmzZoZy5YtM9577z3Dx8fHmDNnjvkb4GKeeOIJo3nz5rbbUv+v48ePG5KMtWvXGoZhGC+88IIxevRoY9myZcbatWuN0aNHG56ensbq1avNLrvSSkxMNKKjo40PP/zQkGQsW7bMiI6ONs6dO2frs2zZMsPDw8OIiooyvvrqK+POO+807rrrLtutTA3DMHr37m307t27RGNuJidOnDCio6ON1157zXa3x+joaCMlJcUwjGt3YQoJCTHatWtn/PDDD3bf1xkZGbb1hIeHGyNGjDAMwzD27dtn3H333cYHH3xgbNy40ZgzZ47h7+9vPPLIIxWyjZXB0aNHjejoaOP555833N3dbfvw+m2kt27datxzzz3GggULjI0bNxovvfSSUaNGDePpp5+2W09oaKjx1FNP2d7PmjXL8PX1NebPn28sXbrUCAkJMYYPH27mplUqBw8eNKKjo40JEyYYgYGBtv18+fJlu34ffPCBYbFYnN6B08fHx3YnvS+++MLo06eP8cknnxjr1683IiMjDS8vL+OVV14p9+0xAw80rGQKCgq0YMECff311yooKFC/fv00fvx4u79S9u/fXwMHDrQl6eKMwX99/vnnev/99x0ui4mJsf07IiLC7oGF3333nT7//HOdPXtWTZo00ejRo9WhQwdTanZVa9eu1cqVK3XhwgU1bdpUjz/+uN1DyDIzM9WnTx+7hxzm5OTozTff1JYtW2SxWDRs2DCNGDGiojbBJRiGob/97W8aNGiQxo4dW2j56dOnNWzYMNsDCw3D0IoVK/T1118rLS1NLVq00Pjx49WyZcsKqL5ycvSgSEmaPn26+vfvb3u/fv16LVy4UGlpaerQoYOmTp1qN/H0+hnXuXPnFnvMzWTevHlasWJFofaoqCh17dpVcXFxmjx5ssOxCxcutB2zjz32mEJDQ20PLDx48KA++OADHTt2TA0aNNCAAQM0ePDgctuOyu7ll1/Wxo0bC7W///77atu2raRrdyNbuHChTp48qUaNGmno0KHq06ePXf+hQ4eqa9eudg85/OSTT/Tll18qNzdXvXr10qRJk27aOSJTpkxRbGxsofalS5faXa721FNPqXr16nr11VcdrqdXr14aOXKk7YGF27Zt06effqqkpCQ1btxYI0eOVNeuXctnI0xGEAEAAABgOuaIAAAAADAdQQQAAACA6QgiAAAAAExHEAEAAABgOoIIAAAAANMRRAAAAACYjiACAAAAwHQ88Q4AUCmtWLFCBQUFslgsGjRoULl/3oYNG5SWliZJGjx48E37UDYAMAsPNAQAVEoeHh6KiIhQixYtHD7lvKw999xzOnDggDZu3KgLFy6oTp065f6ZAHAzI4gAAColDw8PffPNN+rTp49pn7l3717dcccdBBEAMAFzRAAA5S4hIUHLly9Xbm6ure3KlStavny5Tp48Wez1LFu2TMnJyXZt69at0/Hjx23vV61apcTERJ09e1YbNmxQdHS0CgoKJEm///67vv76a/38889/cosAAH8Wc0QAAOWubt26mj59unbt2qXXX39dkvTss8/qu+++U3x8fLHX8/DDD2vz5s0KCgqytT3zzDOaOHGimjdvLkkaN26cWrdurdOnT6tNmzbavn27wsPD1a1bN3388cdq1aqVoqOjNWbMGL355ptlup0AgOIjiAAAyp2vr68+++wzdevWTb1791ZOTo4WLFig7du3y8fHp8w/Ly8vT4cPH5a3t7fi4uJ01113KTc3V4cPH5aXl5d++OEH9ejRQ9OnT1e9evXK/PMBADdGEAEAmKJLly56/vnn9eijjyovL08vvvii7rrrrnL5rFGjRsnb21uSFB4eLi8vL40ePdp2J6xOnTqpoKBACQkJBBEAqCDMEQEAmGbatGnKzMyUp6enpk2bVm6fExAQYPt3tWrV5OnpaddmsVgkSdnZ2eVWAwCgaAQRAIBpZs6cqYCAAGVkZOijjz4q1Tr+eLPHq1evlkVpAACTEUQAAKbYsmWL3nzzTS1dulTz5s3Ts88+q6NHj5Z4PQkJCbZ/X7x4UUlJSWVZJgDAJMwRAQCUu0uXLmnUqFGaNm2aIiIiFBERofXr12vEiBHauXOnPD09i72uOXPmKDMzU76+vvr444/l6+urTZs26a9//auaNGlSjlsBAChLnBEBAJS7devWqX///po5c6at7cMPP1Tr1q21bds2p+O2bdumVatW2bVFRUXJarVq7969evnll7Vq1SoFBQXp8uXLkqTBgwcrNDTUbswDDzygRo0a2bUNGzbMbqL6hg0btHHjxlJvIwCgZHiyOgCgUhoxYoTy8/Pl6+ur+fPnS7o28Xzz5s3q2bNnmX/ec889Z7vM66OPPlKtWrXK/DMAAP9FEAEAuIzyDCIAAHNxaRYAwGX88XIqAIDr4owIAAAAANNxRgQAAACA6QgiAAAAAExHEAEAAABgOoIIAAAAANMRRAAAAACYjiACAAAAwHQEEQAAAACmI4gAAAAAMB1BBAAAAIDp/j/DdSd4cXFxMwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spec = SimulationSpec(\n",
    "    wavelength_start=1.5, wavelength_end=1.6, wavelength_points=11,\n",
    "    mesh=10, z_min=-1.2, z_max=1.5,\n",
    "    field_monitors=(\"y\", \"z\"),\n",
    "    field_monitor_positions={\"z\": 0.11},\n",
    "    field_monitor_wavelengths=(1.55,),\n",
    ")\n",
    "solver = get_solver(\"tidy3d\")(comp, technology=tech, spec=spec)\n",
    "plot_monitor_planes(solver)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e668f6c9",
   "metadata": {},
   "source": [
    "The z-plane label switched from *(default)* at 0.30 µm to *(custom)* at\n",
    "0.11 µm, inside the Si band of the side view.\n",
    "\n",
    "The same solver renders as an interactive 3D scene — the two cores, the\n",
    "translucent cladding, the port cones, the wireframe domain, and both\n",
    "monitor planes, orbitable and clickable:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "87edaf66",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:16.778794Z",
     "iopub.status.busy": "2026-07-21T07:26:16.778712Z",
     "iopub.status.idle": "2026-07-21T07:26:16.782077Z",
     "shell.execute_reply": "2026-07-21T07:26:16.781792Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <div id=&quot;gdsfdtd3d_8215a3e64b_info&quot; style=&quot;position:absolute;left:10px;top:10px;z-index:2;color:#dde3ea;font-size:12px;background:rgba(16,20,24,.75);padding:6px 10px;border-radius:6px;max-width:65%&quot;>loading 3D viewer…</div>\n",
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       "</div>\n",
       "<script>\n",
       "(function () {\n",
       "&quot;use strict&quot;;\n",
       "// Classic (non-module) scripts: notebook webviews (VSCode, JupyterLab) do not\n",
       "// reliably run ES-module CDN imports, and import maps are one-per-page so\n",
       "// multiple embeds would collide. The UMD builds work everywhere; the loader\n",
       "// is guarded so several viewers on one page fetch three.js once.\n",
       "var BASE = &quot;https://cdn.jsdelivr.net/npm/three@0.137.5/&quot;;\n",
       "var SCENE = {&quot;name&quot;: &quot;si_sin_escalator&quot;, &quot;objects&quot;: [{&quot;kind&quot;: &quot;structure&quot;, &quot;group&quot;: &quot;background&quot;, &quot;name&quot;: &quot;Substrate&quot;, &quot;info&quot;: &quot;substrate \\u00b7 material: lum, lum_db, nk, rii, tidy3d, tidy3d_db \\u00b7 z -2..0 \\u00b5m&quot;, &quot;contour&quot;: [[0.0, -1.9000000000000001], [18.0, -1.9000000000000001], [18.0, 1.9000000000000001], [0.0, 1.9000000000000001]], &quot;z0&quot;: -1.2000000000000002, &quot;z1&quot;: 0.0, &quot;color&quot;: &quot;#7fa8c9&quot;, &quot;opacity&quot;: 0.1}, {&quot;kind&quot;: &quot;structure&quot;, &quot;group&quot;: &quot;background&quot;, &quot;name&quot;: &quot;Superstrate&quot;, &quot;info&quot;: &quot;superstrate \\u00b7 material: lum, lum_db, nk, tidy3d, tidy3d_db \\u00b7 z 0..3 \\u00b5m&quot;, &quot;contour&quot;: [[0.0, -1.9000000000000001], [18.0, -1.9000000000000001], [18.0, 1.9000000000000001], [0.0, 1.9000000000000001]], &quot;z0&quot;: 0.0, &quot;z1&quot;: 1.5, &quot;color&quot;: &quot;#7fa8c9&quot;, &quot;opacity&quot;: 0.1}, {&quot;kind&quot;: &quot;structure&quot;, &quot;group&quot;: &quot;layers&quot;, &quot;name&quot;: &quot;dev_0_0&quot;, &quot;info&quot;: &quot;layer 1/0 \\u00b7 material: lum, lum_db, nk, tidy3d, tidy3d_db \\u00b7 z 0..0.22 \\u00b5m&quot;, &quot;contour&quot;: [[0.0, -0.25], [0.0, 0.25], [0.01, 0.25], [17.900000000000002, 0.05], [17.95, 0.0], [17.900000000000002, -0.05], [0.01, -0.25]], &quot;z0&quot;: 0.0, &quot;z1&quot;: 0.22, &quot;color&quot;: &quot;#b2182b&quot;, &quot;opacity&quot;: 1.0}, {&quot;kind&quot;: &quot;structure&quot;, &quot;group&quot;: &quot;layers&quot;, &quot;name&quot;: &quot;dev_1_0&quot;, &quot;info&quot;: &quot;layer 4/0 \\u00b7 material: lum, lum_db, nk, tidy3d, tidy3d_db \\u00b7 z 0.3..0.7 \\u00b5m&quot;, &quot;contour&quot;: [[17.990000000000002, -0.8], [0.1, -0.05], [0.05, 0.0], [0.1, 0.05], [17.990000000000002, 0.8], [18.0, 0.8], [18.0, -0.8]], &quot;z0&quot;: 0.3, &quot;z1&quot;: 0.7, &quot;color&quot;: &quot;#2166ac&quot;, &quot;opacity&quot;: 1.0}, {&quot;kind&quot;: &quot;port&quot;, &quot;group&quot;: &quot;ports&quot;, &quot;name&quot;: &quot;opt1&quot;, &quot;info&quot;: &quot;port opt1 \\u00b7 faces 180\\u00b0 \\u00b7 width 0.5 \\u00b5m&quot;, &quot;center&quot;: [0.0, 0.0, 0.11], &quot;direction&quot;: 180.0, &quot;width&quot;: 0.5, &quot;height&quot;: 0.22, &quot;color&quot;: &quot;#67001f&quot;}, {&quot;kind&quot;: &quot;port&quot;, &quot;group&quot;: &quot;ports&quot;, &quot;name&quot;: &quot;opt2&quot;, &quot;info&quot;: &quot;port opt2 \\u00b7 faces 0\\u00b0 \\u00b7 width 1.6 \\u00b5m&quot;, &quot;center&quot;: [18.0, 0.0, 0.5], &quot;direction&quot;: 0.0, &quot;width&quot;: 1.6, &quot;height&quot;: 0.4, &quot;color&quot;: &quot;#67001f&quot;}, {&quot;kind&quot;: &quot;monitor&quot;, &quot;group&quot;: &quot;monitors&quot;, &quot;name&quot;: &quot;y_field&quot;, &quot;info&quot;: &quot;y_field monitor @ y=0 \\u00b5m (default)&quot;, &quot;axis&quot;: &quot;y&quot;, &quot;position&quot;: 0.0, &quot;color&quot;: &quot;#1f77b4&quot;}, {&quot;kind&quot;: &quot;monitor&quot;, &quot;group&quot;: &quot;monitors&quot;, &quot;name&quot;: &quot;z_field&quot;, &quot;info&quot;: &quot;z_field monitor @ z=0.11 \\u00b5m (custom)&quot;, &quot;axis&quot;: &quot;z&quot;, &quot;position&quot;: 0.11, &quot;color&quot;: &quot;#2ca02c&quot;}, {&quot;kind&quot;: &quot;portplane&quot;, &quot;group&quot;: &quot;ports&quot;, &quot;name&quot;: &quot;opt1_plane&quot;, &quot;info&quot;: &quot;port opt1 mode plane \\u00b7 2 \\u00d7 1.5 \\u00b5m \\u00b7 (0, 0, 0.11) \\u00b5m, normal 180\\u00b0&quot;, &quot;center&quot;: [0.0, 0.0, 0.11], &quot;direction&quot;: 180.0, &quot;width&quot;: 2.0, &quot;depth&quot;: 1.5, &quot;color&quot;: &quot;#67001f&quot;}, {&quot;kind&quot;: &quot;portplane&quot;, &quot;group&quot;: &quot;ports&quot;, &quot;name&quot;: &quot;opt2_plane&quot;, &quot;info&quot;: &quot;port opt2 mode plane \\u00b7 2 \\u00d7 1.5 \\u00b5m \\u00b7 (18, 0, 0.5) \\u00b5m, normal 0\\u00b0&quot;, &quot;center&quot;: [18.0, 0.0, 0.5], &quot;direction&quot;: 0.0, &quot;width&quot;: 2.0, &quot;depth&quot;: 1.5, &quot;color&quot;: &quot;#67001f&quot;}, {&quot;kind&quot;: &quot;structure&quot;, &quot;group&quot;: &quot;port extensions&quot;, &quot;name&quot;: &quot;opt1_extension&quot;, &quot;info&quot;: &quot;port opt1 extension stub \\u00b7 +2 \\u00b5m through the domain edge \\u00b7 z 0..0.22 \\u00b5m&quot;, &quot;contour&quot;: [[0.0, 0.25], [-2.0, 0.25], [-2.0, -0.25], [0.0, -0.25]], &quot;z0&quot;: 0.0, &quot;z1&quot;: 0.22, &quot;color&quot;: &quot;#b2182b&quot;, &quot;opacity&quot;: 0.45}, {&quot;kind&quot;: &quot;structure&quot;, &quot;group&quot;: &quot;port extensions&quot;, &quot;name&quot;: &quot;opt2_extension&quot;, &quot;info&quot;: &quot;port opt2 extension stub \\u00b7 +2 \\u00b5m through the domain edge \\u00b7 z 0.3..0.7 \\u00b5m&quot;, &quot;contour&quot;: [[18.0, 0.8], [20.0, 0.8], [20.0, -0.8], [18.0, -0.8]], &quot;z0&quot;: 0.3, &quot;z1&quot;: 0.7, &quot;color&quot;: &quot;#2166ac&quot;, &quot;opacity&quot;: 0.45}], &quot;legend&quot;: {&quot;substrate / superstrate&quot;: &quot;#7fa8c9&quot;, &quot;layer 1/0&quot;: &quot;#b2182b&quot;, &quot;layer 4/0&quot;: &quot;#2166ac&quot;}, &quot;domain&quot;: {&quot;center&quot;: [9.0, 0.0, 0.15000000000000002], &quot;span&quot;: [20.0, 5.800000000000001, 2.7]}, &quot;frame&quot;: {&quot;center&quot;: [9.0, 0.0, 0.15000000000000002], &quot;span&quot;: [20.0, 5.800000000000001, 2.7]}};\n",
       "\n",
       "// Notebook renderers mount cell outputs in surprising places: VSCode-style\n",
       "// webviews may put them behind shadow roots, where document.getElementById\n",
       "// cannot see our divs. Try the root this script itself lives in first\n",
       "// (document.currentScript, captured synchronously), then the document, then\n",
       "// walk every open shadow root; retry briefly in case the output attaches\n",
       "// after this script runs.\n",
       "var CS = document.currentScript;\n",
       "function findEl(id) {\n",
       "  if (CS &amp;&amp; CS.getRootNode) {\n",
       "    var r = CS.getRootNode();\n",
       "    if (r &amp;&amp; r.querySelector) {\n",
       "      var near = r.querySelector(&quot;#&quot; + id);\n",
       "      if (near) return near;\n",
       "    }\n",
       "  }\n",
       "  var el = document.getElementById(id);\n",
       "  if (el) return el;\n",
       "  function walk(root) {\n",
       "    var all = root.querySelectorAll(&quot;*&quot;);\n",
       "    for (var i = 0; i < all.length; i++) {\n",
       "      var sr = all[i].shadowRoot;\n",
       "      if (sr) {\n",
       "        var hit = sr.querySelector(&quot;#&quot; + id) || walk(sr);\n",
       "        if (hit) return hit;\n",
       "      }\n",
       "    }\n",
       "    return null;\n",
       "  }\n",
       "  return walk(document);\n",
       "}\n",
       "\n",
       "function start(attempt) {\n",
       "var host = findEl(&quot;gdsfdtd3d_8215a3e64b&quot;);\n",
       "var info = findEl(&quot;gdsfdtd3d_8215a3e64b_info&quot;);\n",
       "var legendBox = findEl(&quot;gdsfdtd3d_8215a3e64b_legend&quot;);\n",
       "if (!host || !info || !legendBox) {\n",
       "  if (attempt < 25) setTimeout(function () { start(attempt + 1); }, 120);\n",
       "  return;\n",
       "}\n",
       "\n",
       "// boot stages are written into the panel: a failure names itself instead of\n",
       "// leaving a silent black rectangle\n",
       "// SCENE.name reaches the DOM only via textContent, which never parses HTML\n",
       "function stage(msg) { info.textContent = (SCENE.name || &quot;component&quot;) + &quot; — &quot; + msg; }\n",
       "function fail(msg) {\n",
       "  info.textContent = &quot;3D viewer: &quot; + msg +\n",
       "    &quot; — use viewer3d.render_static for a static view.&quot;;\n",
       "}\n",
       "stage(&quot;container found; loading three.js…&quot;);\n",
       "function load(src, cb) {\n",
       "  var s = document.createElement(&quot;script&quot;);\n",
       "  s.src = src;\n",
       "  s.onload = cb;\n",
       "  s.onerror = function () { fail(&quot;could not load three.js from the CDN (offline?)&quot;); };\n",
       "  document.head.appendChild(s);\n",
       "}\n",
       "function ensureThree(cb) {\n",
       "  if (window.THREE &amp;&amp; window.THREE.OrbitControls) return cb();\n",
       "  if (window.__gdsfdtd3d_loading) { window.__gdsfdtd3d_loading.push(cb); return; }\n",
       "  window.__gdsfdtd3d_loading = [cb];\n",
       "  load(BASE + &quot;build/three.min.js&quot;, function () {\n",
       "    load(BASE + &quot;examples/js/controls/OrbitControls.js&quot;, function () {\n",
       "      var queue = window.__gdsfdtd3d_loading; window.__gdsfdtd3d_loading = null;\n",
       "      queue.forEach(function (f) { f(); });\n",
       "    });\n",
       "  });\n",
       "}\n",
       "\n",
       "ensureThree(function () {\n",
       "try {\n",
       "stage(&quot;three.js ready; building the scene…&quot;);\n",
       "var THREE = window.THREE;\n",
       "var OrbitControls = THREE.OrbitControls;\n",
       "\n",
       "let renderer;\n",
       "try {\n",
       "  renderer = new THREE.WebGLRenderer({ antialias: true, alpha: false });\n",
       "} catch (e) {\n",
       "  fail(&quot;WebGL is unavailable in this environment&quot;);\n",
       "  return;\n",
       "}\n",
       "renderer.setPixelRatio(window.devicePixelRatio);\n",
       "renderer.setSize(host.clientWidth, host.clientHeight);\n",
       "renderer.setClearColor(0x101418);\n",
       "host.appendChild(renderer.domElement);\n",
       "\n",
       "const scene = new THREE.Scene();\n",
       "const camera = new THREE.PerspectiveCamera(45, host.clientWidth / host.clientHeight, 0.01, 5000);\n",
       "scene.add(new THREE.AmbientLight(0xffffff, 0.65));\n",
       "const key = new THREE.DirectionalLight(0xffffff, 1.1); key.position.set(1, -1.5, 2.5);\n",
       "scene.add(key);\n",
       "const fill = new THREE.DirectionalLight(0xbcd4ff, 0.35); fill.position.set(-2, 1, -1);\n",
       "scene.add(fill);\n",
       "\n",
       "// z is &quot;up&quot; for a chip. zScale = 1 shows TRUE proportions (a 220 nm layer\n",
       "// really is hair-thin next to a many-µm device); the legend checkbox turns on\n",
       "// a 4x z exaggeration for inspecting thin stacks.\n",
       "let zScale = 1.0;\n",
       "const root = new THREE.Group();\n",
       "root.rotation.x = -Math.PI / 2;   // lay the chip flat, z up on screen\n",
       "scene.add(root);\n",
       "\n",
       "let pickables = [];\n",
       "let groups = {};\n",
       "const groupVisibility = {};\n",
       "const F = SCENE.frame;\n",
       "let radius = 1;\n",
       "\n",
       "function inGroup(name) {\n",
       "  if (!groups[name]) { groups[name] = new THREE.Group(); root.add(groups[name]); }\n",
       "  return groups[name];\n",
       "}\n",
       "\n",
       "// text label as a camera-facing sprite (canvas texture; no DOM/HTML sinks)\n",
       "function makeLabel(txt) {\n",
       "  const c = document.createElement(&quot;canvas&quot;);\n",
       "  let ctx = c.getContext(&quot;2d&quot;);\n",
       "  const fs = 42;\n",
       "  ctx.font = fs + &quot;px system-ui, sans-serif&quot;;\n",
       "  c.width = Math.ceil(ctx.measureText(txt).width) + 26;\n",
       "  c.height = fs + 22;\n",
       "  ctx = c.getContext(&quot;2d&quot;);\n",
       "  ctx.font = fs + &quot;px system-ui, sans-serif&quot;;\n",
       "  ctx.fillStyle = &quot;rgba(16,20,24,0.72)&quot;;\n",
       "  ctx.fillRect(0, 0, c.width, c.height);\n",
       "  ctx.fillStyle = &quot;#ffd9d9&quot;;\n",
       "  ctx.textBaseline = &quot;middle&quot;;\n",
       "  ctx.fillText(txt, 13, c.height / 2);\n",
       "  const tex = new THREE.CanvasTexture(c);\n",
       "  const sp = new THREE.Sprite(new THREE.SpriteMaterial(\n",
       "    { map: tex, transparent: true, depthTest: false }));\n",
       "  const h = 0.055 * radius;  // readable at any device size\n",
       "  sp.scale.set(h * c.width / c.height, h, 1);\n",
       "  return sp;\n",
       "}\n",
       "\n",
       "const controls = new OrbitControls(camera, renderer.domElement);\n",
       "controls.enableDamping = true;\n",
       "\n",
       "function disposeTree(obj) {\n",
       "  // three.js does not free GPU memory on JS GC; release geometries, materials\n",
       "  // and textures explicitly so repeated z-scale rebuilds do not leak VRAM\n",
       "  obj.traverse(function (n) {\n",
       "    if (n.geometry) n.geometry.dispose();\n",
       "    if (n.material) {\n",
       "      var mats = Array.isArray(n.material) ? n.material : [n.material];\n",
       "      mats.forEach(function (m) { if (m.map) m.map.dispose(); m.dispose(); });\n",
       "    }\n",
       "  });\n",
       "}\n",
       "\n",
       "function buildScene() {\n",
       "  disposeTree(root);\n",
       "  while (root.children.length) root.remove(root.children[0]);\n",
       "  groups = {}; pickables = [];\n",
       "  const Z = zScale;\n",
       "  radius = Math.max(F.span[0], F.span[1], F.span[2] * Z, 1);\n",
       "\n",
       "  for (const o of SCENE.objects) {\n",
       "    if (o.kind === &quot;structure&quot;) {\n",
       "      const shape = new THREE.Shape(o.contour.map(p => new THREE.Vector2(p[0], p[1])));\n",
       "      const geo = new THREE.ExtrudeGeometry(shape,\n",
       "        { depth: (o.z1 - o.z0) * Z, bevelEnabled: false });\n",
       "      const mat = new THREE.MeshStandardMaterial({\n",
       "        color: o.color, roughness: 0.55, metalness: 0.05,\n",
       "        transparent: o.opacity < 1, opacity: o.opacity,\n",
       "        depthWrite: o.opacity >= 1,\n",
       "      });\n",
       "      const mesh = new THREE.Mesh(geo, mat);\n",
       "      mesh.position.z = o.z0 * Z;\n",
       "      mesh.userData = o;\n",
       "      inGroup(o.group).add(mesh);\n",
       "      if (o.group !== &quot;background&quot;) pickables.push(mesh);\n",
       "    } else if (o.kind === &quot;portplane&quot;) {\n",
       "      // the port's mode source/monitor plane at its real dimensions, with a\n",
       "      // crisp border and a floating name + dimensions label\n",
       "      const geo = new THREE.PlaneGeometry(o.width, o.depth * Z);\n",
       "      const mat = new THREE.MeshBasicMaterial({ color: o.color, transparent: true,\n",
       "        opacity: 0.35, side: THREE.DoubleSide, depthWrite: false });\n",
       "      const mesh = new THREE.Mesh(geo, mat);\n",
       "      mesh.add(new THREE.LineSegments(\n",
       "        new THREE.EdgesGeometry(geo),\n",
       "        new THREE.LineBasicMaterial({ color: 0xff6b6b })));\n",
       "      if (o.direction % 180 === 0) { mesh.rotation.y = Math.PI / 2; mesh.rotation.z = Math.PI / 2; }\n",
       "      else { mesh.rotation.x = Math.PI / 2; }\n",
       "      mesh.position.set(o.center[0], o.center[1], o.center[2] * Z);\n",
       "      mesh.userData = o;\n",
       "      inGroup(&quot;ports&quot;).add(mesh);\n",
       "      pickables.push(mesh);\n",
       "      const tag = makeLabel(o.name.replace(&quot;_plane&quot;, &quot;&quot;) + &quot; · &quot; +\n",
       "                            o.width + &quot;×&quot; + o.depth + &quot; µm&quot;);\n",
       "      tag.position.set(o.center[0], o.center[1],\n",
       "                       (o.center[2] + o.depth / 2) * Z + 0.06 * radius);\n",
       "      inGroup(&quot;ports&quot;).add(tag);\n",
       "    } else if (o.kind === &quot;port&quot;) {\n",
       "      const geo = new THREE.ConeGeometry(0.35 * o.width, 0.9 * o.width, 20);\n",
       "      const mat = new THREE.MeshStandardMaterial({ color: o.color, roughness: 0.4 });\n",
       "      const mesh = new THREE.Mesh(geo, mat);\n",
       "      const rad = (o.direction * Math.PI) / 180;\n",
       "      // cone points INTO the device (against the port's facing direction)\n",
       "      mesh.rotation.z = rad - Math.PI / 2;\n",
       "      mesh.position.set(o.center[0] + 0.45 * o.width * Math.cos(rad),\n",
       "                        o.center[1] + 0.45 * o.width * Math.sin(rad),\n",
       "                        o.center[2] * Z);\n",
       "      mesh.userData = o;\n",
       "      inGroup(&quot;ports&quot;).add(mesh);\n",
       "      pickables.push(mesh);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  if (SCENE.domain) {\n",
       "    const d = SCENE.domain;\n",
       "    const geo = new THREE.BoxGeometry(d.span[0], d.span[1], d.span[2] * Z);\n",
       "    const edges = new THREE.LineSegments(\n",
       "      new THREE.EdgesGeometry(geo),\n",
       "      new THREE.LineBasicMaterial({ color: 0x9aa7b4 }));\n",
       "    edges.position.set(d.center[0], d.center[1], d.center[2] * Z);\n",
       "    edges.userData = { name: &quot;simulation domain&quot;,\n",
       "      info: `domain ${d.span[0].toFixed(1)} × ${d.span[1].toFixed(1)} × ` +\n",
       "        `${d.span[2].toFixed(2)} µm` };\n",
       "    inGroup(&quot;domain&quot;).add(edges);\n",
       "\n",
       "    for (const o of SCENE.objects.filter(o => o.kind === &quot;monitor&quot;)) {\n",
       "      let w, h;\n",
       "      if (o.axis === &quot;z&quot;) { w = d.span[0]; h = d.span[1]; }\n",
       "      else if (o.axis === &quot;y&quot;) { w = d.span[0]; h = d.span[2] * Z; }\n",
       "      else { w = d.span[1]; h = d.span[2] * Z; }\n",
       "      const geo = new THREE.PlaneGeometry(w, h);\n",
       "      const mat = new THREE.MeshBasicMaterial({ color: o.color, transparent: true,\n",
       "        opacity: 0.18, side: THREE.DoubleSide, depthWrite: false });\n",
       "      const mesh = new THREE.Mesh(geo, mat);\n",
       "      if (o.axis === &quot;z&quot;) mesh.position.set(d.center[0], d.center[1], o.position * Z);\n",
       "      else if (o.axis === &quot;y&quot;) { mesh.rotation.x = Math.PI / 2;\n",
       "        mesh.position.set(d.center[0], o.position, d.center[2] * Z); }\n",
       "      else { mesh.rotation.y = Math.PI / 2; mesh.rotation.z = Math.PI / 2;\n",
       "        mesh.position.set(o.position, d.center[1], d.center[2] * Z); }\n",
       "      mesh.userData = o;\n",
       "      inGroup(&quot;monitors&quot;).add(mesh);\n",
       "      pickables.push(mesh);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  // keep the user's group toggles across z-scale rebuilds\n",
       "  for (const g of Object.keys(groups)) {\n",
       "    if (g in groupVisibility) groups[g].visible = groupVisibility[g];\n",
       "  }\n",
       "\n",
       "  // frame from the Python-computed bounds. Chip coordinates map to world as\n",
       "  // (x, y, z) -> (x, z * Z, -y) through the root rotation.\n",
       "  const target = new THREE.Vector3(F.center[0], F.center[2] * Z, -F.center[1]);\n",
       "  camera.position.set(target.x + 0.55 * radius,\n",
       "                      target.y + 0.55 * radius,\n",
       "                      target.z + 0.85 * radius);\n",
       "  controls.target.copy(target);\n",
       "}\n",
       "buildScene();\n",
       "\n",
       "// legend with visibility toggles. Built with createElement/textContent only:\n",
       "// HTML-string sinks (innerHTML/insertAdjacentHTML) are restricted by Trusted\n",
       "// Types in hardened webviews, and text APIs work everywhere.\n",
       "const CHIP = &quot;display:inline-block;width:10px;height:10px;border-radius:2px;margin-right:6px&quot;;\n",
       "for (const [label, color] of Object.entries(SCENE.legend)) {\n",
       "  const row = document.createElement(&quot;div&quot;);\n",
       "  const chip = document.createElement(&quot;span&quot;);\n",
       "  chip.setAttribute(&quot;style&quot;, CHIP + &quot;;background:&quot; + color);\n",
       "  row.appendChild(chip);\n",
       "  row.appendChild(document.createTextNode(label));\n",
       "  legendBox.appendChild(row);\n",
       "}\n",
       "for (const g of Object.keys(groups)) {\n",
       "  const row = document.createElement(&quot;div&quot;);\n",
       "  const box = document.createElement(&quot;input&quot;);\n",
       "  box.type = &quot;checkbox&quot;;\n",
       "  box.checked = true;\n",
       "  box.setAttribute(&quot;style&quot;, &quot;margin-right:6px&quot;);\n",
       "  box.addEventListener(&quot;change&quot;, function () {\n",
       "    groupVisibility[g] = box.checked;\n",
       "    if (groups[g]) groups[g].visible = box.checked;\n",
       "  });\n",
       "  row.appendChild(box);\n",
       "  row.appendChild(document.createTextNode(g));\n",
       "  legendBox.appendChild(row);\n",
       "}\n",
       "{\n",
       "  // true 1:1 proportions by default; opt-in exaggeration for thin stacks\n",
       "  const row = document.createElement(&quot;div&quot;);\n",
       "  row.setAttribute(&quot;style&quot;, &quot;margin-top:6px;border-top:1px solid #39424d;padding-top:5px&quot;);\n",
       "  const box = document.createElement(&quot;input&quot;);\n",
       "  box.type = &quot;checkbox&quot;;\n",
       "  box.checked = false;\n",
       "  box.setAttribute(&quot;style&quot;, &quot;margin-right:6px&quot;);\n",
       "  box.addEventListener(&quot;change&quot;, function () {\n",
       "    zScale = box.checked ? 4.0 : 1.0;\n",
       "    try { buildScene(); } catch (e) {\n",
       "      fail(&quot;scene rebuild failed: &quot; + (e &amp;&amp; e.message ? e.message : e));\n",
       "    }\n",
       "  });\n",
       "  row.appendChild(box);\n",
       "  row.appendChild(document.createTextNode(&quot;z ×4 (exaggerate thin layers)&quot;));\n",
       "  legendBox.appendChild(row);\n",
       "}\n",
       "\n",
       "// picking\n",
       "const ray = new THREE.Raycaster();\n",
       "const mouse = new THREE.Vector2();\n",
       "let selected = null;\n",
       "renderer.domElement.addEventListener(&quot;click&quot;, (ev) => {\n",
       "  const r = renderer.domElement.getBoundingClientRect();\n",
       "  mouse.x = ((ev.clientX - r.left) / r.width) * 2 - 1;\n",
       "  mouse.y = -((ev.clientY - r.top) / r.height) * 2 + 1;\n",
       "  ray.setFromCamera(mouse, camera);\n",
       "  const hits = ray.intersectObjects(pickables, false);\n",
       "  if (selected &amp;&amp; selected.material.emissive) selected.material.emissive.setHex(0);\n",
       "  if (hits.length) {\n",
       "    selected = hits[0].object;\n",
       "    if (selected.material.emissive) selected.material.emissive.setHex(0x333333);\n",
       "    info.textContent = selected.userData.info || selected.userData.name;\n",
       "  } else {\n",
       "    selected = null;\n",
       "    stage(&quot;drag to orbit · scroll to zoom · click an object&quot;);\n",
       "  }\n",
       "});\n",
       "\n",
       "function animate() {\n",
       "  requestAnimationFrame(animate); controls.update(); renderer.render(scene, camera);\n",
       "}\n",
       "animate();\n",
       "stage(&quot;drag to orbit · scroll to zoom · click an object&quot;);\n",
       "new ResizeObserver(() => {\n",
       "  camera.aspect = host.clientWidth / host.clientHeight; camera.updateProjectionMatrix();\n",
       "  renderer.setSize(host.clientWidth, host.clientHeight);\n",
       "}).observe(host);\n",
       "} catch (e) {\n",
       "  // surface the exception where the user can see it - a silent black panel\n",
       "  // is undebuggable from a screenshot\n",
       "  fail(&quot;scene build failed: &quot; + (e &amp;&amp; e.message ? e.message : e));\n",
       "}\n",
       "});\n",
       "}\n",
       "start(0);\n",
       "})();\n",
       "</script>\n",
       "\" style=\"width:100%;height:480px;border:none\" loading=\"lazy\" title=\"gds_fdtd 3D viewer\"></iframe>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from gds_fdtd.viewer3d import show_3d  # noqa: E402\n",
    "\n",
    "show_3d(solver, height=460)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "380dd13c",
   "metadata": {},
   "source": [
    "## 3 · The side view: light climbing the stack\n",
    "\n",
    "This spec ran on tidy3d (~0.05 FC; artifacts in `recorded/`, see\n",
    "`PROVENANCE.md`). The y-normal monitor cuts along the propagation axis, so\n",
    "it shows the vertical story: the mode enters in the Si core (z ≈ 0.1 µm),\n",
    "transfers upward through the taper, and exits in the SiN core (z ≈ 0.5 µm).\n",
    "The dashed outlines are the layer bands and port-extension stubs\n",
    "(`component_outlines`), and the short vertical strokes at the ends are each\n",
    "port's mode plane at its real depth (`port_plane_outlines`):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "66f1bfd5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:16.783408Z",
     "iopub.status.busy": "2026-07-21T07:26:16.783321Z",
     "iopub.status.idle": "2026-07-21T07:26:16.854481Z",
     "shell.execute_reply": "2026-07-21T07:26:16.853862Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fy = np.load(REC / \"escalator_field_y.npz\")\n",
    "plot_field(\n",
    "    fy[\"mag2\"][0], x=fy[\"h\"], y=fy[\"v\"], scale=\"db\",\n",
    "    outline=component_outlines(comp, axis=\"y\", buffer=2 * spec.buffer)\n",
    "    + port_plane_outlines(comp, spec, axis=\"y\"),\n",
    "    title=f\"escalator side view (y-normal), |E|² dB at {fy['wavelength_um'][0]:.2f} um\",\n",
    ")\n",
    "plt.ylabel(\"z [µm]\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a53dbd7e",
   "metadata": {},
   "source": [
    "## 4 · The pinned top view: light leaving its own plane\n",
    "\n",
    "The z-plane at the **Si core** tells the same story from above: strong field\n",
    "in the input waveguide, then the intensity fades out along the taper — not\n",
    "because light is lost, but because it moved up and out of this plane into\n",
    "the nitride. (Re-pin the monitor at z = 0.5 µm and the picture inverts.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "51708204",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:16.855498Z",
     "iopub.status.busy": "2026-07-21T07:26:16.855413Z",
     "iopub.status.idle": "2026-07-21T07:26:16.931180Z",
     "shell.execute_reply": "2026-07-21T07:26:16.930713Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fz = np.load(REC / \"escalator_field_z.npz\")\n",
    "plot_field(\n",
    "    fz[\"mag2\"][0], x=fz[\"h\"], y=fz[\"v\"], scale=\"db\",\n",
    "    outline=component_outlines(comp, axis=\"z\", buffer=2 * spec.buffer)\n",
    "    + port_plane_outlines(comp, spec, axis=\"z\"),\n",
    "    title=\"escalator top view pinned at z=0.11 um (Si core), |E|² dB\",\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71ad7aa6",
   "metadata": {},
   "source": [
    "## 5 · The numbers behind the pictures\n",
    "\n",
    "The same run produced the S-matrix; the escalator transfers the band with\n",
    "low loss, confirming the field pictures:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5c518d9f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:16.932553Z",
     "iopub.status.busy": "2026-07-21T07:26:16.932468Z",
     "iopub.status.idle": "2026-07-21T07:26:16.936538Z",
     "shell.execute_reply": "2026-07-21T07:26:16.936083Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "through-path insertion loss: -0.07 .. -0.06 dB across 1.50-1.60 um\n"
     ]
    }
   ],
   "source": [
    "from gds_fdtd.smatrix import SMatrix  # noqa: E402\n",
    "\n",
    "sm = SMatrix.from_npz(REC / \"escalator_tidy3d.npz\")\n",
    "thru = sm.sel(sm.port_names[1], sm.port_names[0], 1, 1)\n",
    "il_db = 10 * np.log10(np.abs(thru) ** 2)\n",
    "print(f\"through-path insertion loss: {il_db.min():.2f} .. {il_db.max():.2f} dB \"\n",
    "      f\"across {sm.wavelength_um.min():.2f}-{sm.wavelength_um.max():.2f} um\")"
   ]
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    "## Recap\n",
    "\n",
    "- One monitor plane per axis in `spec.field_monitors`; defaults are the\n",
    "  domain center (`x`/`y`) and the device layers' average mid-plane (`z`).\n",
    "- `spec.field_monitor_positions` pins any plane at an absolute coordinate —\n",
    "  for multi-layer stacks the default z-plane can sit between the layers, so\n",
    "  pin it to the core you care about.\n",
    "- `spec.field_monitor_wavelengths` restricts what is recorded; the S-matrix\n",
    "  keeps its full spectral resolution independently.\n",
    "- `plot_monitor_planes(solver)` shows every plane, labelled default/custom,\n",
    "  before you spend anything.\n",
    "\n",
    "`11_bragg_grating` uses the wavelength knob on a strongly dispersive device:\n",
    "the same monitor, in and out of a Bragg stopband."
   ]
  }
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