{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fd37506b",
   "metadata": {},
   "source": [
    "# 11 · A Bragg grating: the stopband, seen in the field\n",
    "\n",
    "A waveguide Bragg grating is a strip whose width is corrugated with period\n",
    "Λ. Each corrugation reflects a sliver of the guided wave; at the **Bragg\n",
    "wavelength** λ_B = 2·n_eff·Λ the slivers add in phase and the grating turns\n",
    "into a mirror. Away from λ_B they cancel and the light passes as if the\n",
    "grating were a plain waveguide.\n",
    "\n",
    "That makes a Bragg grating the perfect device to watch **through a field\n",
    "monitor at two wavelengths**: in-band the field piles up at the entrance and\n",
    "decays into the grating (reflected); out-of-band it sails through. Both\n",
    "pictures come from **one simulation** — the monitor records several chosen\n",
    "wavelengths (`spec.field_monitor_wavelengths`), and the plot selects among\n",
    "them.\n",
    "\n",
    "The device is `bragg_te1550` from the SiEPIC EBeam library (`devices.gds`):\n",
    "~300 corrugation periods, 95 µm long."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1341a580",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:18.602205Z",
     "iopub.status.busy": "2026-07-21T07:26:18.601995Z",
     "iopub.status.idle": "2026-07-21T07:26:20.367000Z",
     "shell.execute_reply": "2026-07-21T07:26:20.366212Z"
    }
   },
   "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\">00:26:19 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;36m00:26:19 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": [
      "bragg_te1550: 95.1 x 3.5 um, ports ['opt1', 'opt2']\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxQAAACQCAYAAACRSi3CAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjExLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlcelbwAAAAlwSFlzAAAPYQAAD2EBqD+naQAAR5ZJREFUeJzt3XdYU9cbB/BvEkJkiwiCTFGxogIOcFtHRdzWWefPVRfWaqtWrdZZtWqttnXPOqh1tK4qTtS6RxGkonWAIoiA7JV5fn+kXAkJkAQwjPfzPD4m556ce865h5u8d5zLY4wxEEIIIYQQQoge+IauACGEEEIIIaTiooCCEEIIIYQQojcKKAghhBBCCCF6o4CCEEIIIYQQojcKKAghhBBCCCF6o4CCEEIIIYQQojcKKAghhBBCCCF6o4CCEEIIIYQQojcKKAjGjBmDMWPGGLoahJAqZNq0aRgyZEilrEN5aNv7kJGRAR8fH+zZs8fQVSGEGJiRoStADO/JkyeGrsJ7M2nSJGRkZGD//v0lKicqKgqHDh3CiRMnkJGRgaCgIHh6eqrl2759O37++WeNZZw9exZ2dnZ65QWAzMxMfP/99wgJCYFMJkPz5s0xe/ZsODo6lqBlVUNpjYOKpjy1+/nz53j16lWFrUNRfVke2vY+yOVyhIWFISEhwdBVIYQYGAUUpEp5+vQpUlNTS1TGjh078O2332LQoEHw8PDAzp07kZ2drTFvfHw8wsLCcOXKFVhYWKgss7a21jtvZmYm2rZtC6lUiu+++w7m5uZYsWIFmjVrhps3b6JOnTolamNlVxrjoCIqT+3+6aefIJFIDF0NvRXVlxW9bdqysLBAaGgoHcQghFBAQYiuhgwZgnHjxgEAVq5cqdVnmjRpgurVq5da3tWrVyMiIgKRkZHw8PAAAPj5+aFu3bqYOXMmjhw5otW6CDGUyhz0Vua25ScQCODj42PoahBCygG6h4Jw0tLSMGvWLLRt2xY9evTAr7/+qpYn736LzMxMfP3112jfvj1mzZoFAFiyZAl8fHzg4+ODZs2aoUuXLliwYAGSkpLUyjl37hz69++P1q1b49NPP8XLly/x7bffon379iXKW5Q+ffrg1q1bePjwIVfPNm3aqOR5+fIlZs2ahQ8//BCtWrXC+PHj8c8//6jkMTc312m9ZWHfvn3w8/PjggkAMDMzw4ABA3D8+HGVI6chISHw8fHR+jIXXfpbm/4CgL///hvjxo1D69at0aFDB8yePRtxcXEqefLGVkZGBmbPno22bdti4MCBCAsLA6Acn3PmzEG7du3Qq1cvXLp0SWP9i6tTceOgsDE+b948tG3bVuOR53Xr1qF58+ZITk7Wqo8Lrkubvz1d+7Fg/Ytrd1xcHObOnQt/f3+0b98e48ePx507d3Rqjy5labrPoDTGQI8ePTBnzhy19CVLlqBTp07F1l2b/VhxfVnYPRS6bL/s7GzMnz8f7dq1Q7du3RAUFFRs3fN/XtM+GgDOnDmD4cOHo1WrVujcuTOWL1+OzMxMlTIkEglWr16Njh07omPHjli9ejXkcjnatGmjchClsHsoFAoFdu/ejT59+sDPzw+9evXCtm3bIJfLuTxxcXHw8fHB4cOHERERwdVpxIgRePTokVZtJYSUI4xUeW3btmWtW7dmPXr0YFu2bGGXL19mc+bMYTwejy1evFhj3p49e7KNGzeyc+fOsZUrVzLGGHv58iULDQ1loaGh7Pbt22z//v3My8uLNWzYkGVnZ3Nl7Nu3j/F4PDZ69Gh24cIF9ttvv7FOnTqxwYMHMysrK5X16ZK3OA8fPmQtW7Zknp6eXD3Dw8O55devX2eWlpasU6dO7OjRo+zixYtszJgxzMTEhF25ckVjmStWrGAA2J07dzQuX7p0KQPAunTpwlq0aMG6devGVqxYwVJTU/XOm5KSwgCwCRMmqJWxefNmBoBdunSJS/vjjz8YAPbDDz8U20e69Le2/fX7778zIyMj1r9/f3bmzBl25MgR5u3tzWxtbdnjx4+5fHlj6+OPP2Y7d+5kISEhrF+/fsza2po9f/6cBQQEsO3bt7NLly6xAQMGMGNjY/b06VOd61TcOChsjJ87d44BYPv371dZp1QqZbVr12b+/v7F9m9Buvzt6dqPBetfVLszMjJYnTp1WLt27djx48fZ9evX2a5du1irVq1YaGioTm3StqyePXsyb29vjf1RkjHg6urKhgwZolavcePGMRsbG5U0TXXQZj9W3BjSVK6u22/QoEFs8+bN7MqVK+yzzz5jANiRI0eK6/4i99Fz585lRkZGbPbs2SwkJIQdPnyYNWzYkDVr1oxlZWUxxhhTKBSsZ8+ezNzcnP3444/sypUr7Ntvv2VTp05lZmZmLDAwkFtX3r5o9erVKnX45JNPmLGxMVuxYgW7fPkyW7t2LTMxMWG9e/dmcrmcMcZYVFQUA8CmTZvGevXqxY4fP85Onz7NmjZtyuzs7FhGRkaxbSWElB8UUBDWtm1bxufz2enTp1XSp0+fzgQCAXv+/Lla3j///JNLy/uC0OTVq1cMAPvll18YY4zl5OQwGxsb1qNHD5V80dHRTCQSqfxo1SWvtrp06cKaN2+uli6TyZi7uztr3rw5k8lkKsu6d+/OPD09NZZXXECxYsUKNnbsWHb48GF25coVtnbtWmZjY8Pc3NxYTEyMXnkjIyMZADZv3jy19R05coQBYL/99huXlpqaykJDQ1lCQkLhHcN0629t+ysnJ4fZ2tqyNm3aMIVCweVJTk5mVlZWrFu3blxa3tjKHwylpaUxExMT5urqys6fP8+lZ2RkMDMzMzZjxgyd68RY4eMgfz0KjnGFQsEaNGjA2rVrp5L/0KFDan2uLW3/9vTpR01/o4W1+/z58wwAu3Xrlkq6QqFgubm5OrVJ27IKCyhKMgYYK3lAoUnB/RhjRY+hguXqs/0uXLigUqaPjw9r3bp1sXUtbPtfuXJF44//mJgYZmJiwpYvX84YUwY+AFhQUJBKvlWrVjEej1dsQHHs2DEGgG3YsEHl83v27GEA2N69exlj7wIKd3d3JhaLuXwREREaP08IKd/okicCAKhZsyYCAgJU0kaPHg25XI5Tp06ppNeoUQM9evTg3vP5ymEkkUiwefNm9OvXD35+fvDx8UHPnj3B4/G4U9g3btzA27dvMXLkSJUyXV1d0bZtW5U0XfKW1K1bt/D8+XOMHTsWAoFAZdmAAQPw8OFDvHjxQudyv/jiC+zYsQMDBgxA+/btMWPGDJw/fx6xsbH48ssv9cqbd9lAwXrmT5NKpVyalZUVfHx8YGtrW2Rddelvbfvr5s2bSExMxNixY8Hj8bg81tbWGDhwIM6fP69yQ7uDgwM+/PBD7r2lpSXq16+P3NxcdOnShUs3NzdHgwYNEBkZqXOdtKFpjPN4PEyePBlXr17FgwcPuGUbN26EjY0N+vbtq1XZBWnzt6drPxb2N1oYe3t7AMD69etV+ojH40EkEunUnpKWVZIxUBq02Y/pStftZ29vj86dO6uU0bp1a63Xr2n7//rrr+DxeBg/frxKXicnJ7Rs2ZIbaydPnoSxsTEGDx6skm/EiBFgjBW77uPHj4PH46lNRT5s2DCYmpri+PHjKukDBw6EsbEx975Ro0awsLCgy54IqWDopmwCAHB2dlZLc3FxAQDExsZqTC+od+/euHv3Lr755hs0bdqUm6nI19eX+7LMu17YyclJYx3u3bvHvdclb0lFR0cDUF4Lv3PnTjDl2TsAyuu2AeD169dwdXXVqdz8X5R5fHx80KJFCwQHB+uV18rKCoDy+uWC8tK0vQE8P136W9v+yhs7mvrN1dUVcrkc8fHxcHd3L3Td1tbWEAqFGtPzX9demtuwsDE+evRozJs3Dxs3bsSmTZvw6NEjhISE4PPPP9f5h3cebf72dO3HwupfmEaNGmH9+vVYuHAhgoKCUK9ePXTu3Bljx45Fy5Yt32tZJRkDpUGb/ZiudN1+msZEjRo1kJKSArlcrvFgQn6atn90dDT4fD4++ugjAOD+PhhjiI6Oho2NDQDlfsDBwUFtHfb29jAyKv4nQ2xsLOzs7GBiYqKSLhAI4OTkpDadbmFtTUxMLHZdhJDygwIKAgAapz/MSyt4E3LBLwoAuH//Ps6ePYutW7fi008/5dJfv36tciOemZkZgHc/8Iqqgy55SypvXYGBgSpHR/OrX79+qa3PyspK6x8nBfM6OjrC3Nwcz549U8v79OlTAMAHH3ygc5302TbF9debN280fh4AUlJSAKiOr8J+sBSWnv+IaWluQ01jHFBui+HDh2Pfvn1YtWoVNm3aBAAYO3asVuVqos3fXt7/2vZjYfUvyrRp0zBlyhTcvn0bV69exa+//oqtW7fi4MGDGDRo0HsrqyRjAABMTU2Rk5Ojlk+bH6ja7sd0pev2K+qHuzZnCTRtfzMzM1SrVg3bt2/X+Jm8AxpmZmYa9wFZWVmQyWTFrtvc3BxpaWlgjKmcjQGUbS0YVGm7XQkh5Rtd8kQAKI9excTEqKRdvnwZANCqVatiP5/3BVTw6OKJEydU3vv6+oLP5+Ovv/5SSZdIJLh9+7beebUlEok0fim2adMGxsbGeP78OTdrS8F/eT9YSyorKwt///03GjdurFdeHo+HgIAA/PXXX8jNzVXJf+bMGTRo0AB169bVuV669Le2/ZVXZkhIiNr6Ll26BHd3d7UH9ulLl21Y2DjQRmBgIDIzM7Flyxbs2bMHvr6+8PLy0rve2vztlVY/FtduIyMjtGnTBrNnz8bNmzdRvXp1HDx4UJfmlElZunB1dcXz589V0sRisVYzVmm7HwN0G0Pv8++gMJ06dUJWVhakUqnGv428B3O2atUKqampiIiIUPn81atXtVpPq1atkJubi5s3b6qkR0REIDExEa1bty6dBhFCyhUKKAgAwN3dHbNnz+amD3z8+DEWLlyIli1bajXVopeXFywsLLBt2zaIxWIAwO3bt/H777+rXMrj6OiIESNGYOPGjdwPV7lcjq+++goODg4qZeqSV5d2RkdHq02TaGtri6+//hobNmzAtm3boFAouGVhYWGYPXu2Xuv7/PPP8fLlS+7927dvMWrUKCQmJmLhwoV6550/fz6ys7Mxa9Ys7sjptm3bcPPmTSxdulQlr7bTxurS39r2V+3atTF27Fjs3LkTf/75JwDlkcelS5ciNDQUCxYsKLJOutBlGxY2DrTh7e2NNm3aYN68eUhNTeWeSZKfLlP1avO3V1r9WFi7g4ODsXnzZmRlZXFp//zzD7KyslSmJtamXdqWVVYGDx6MiIgIHD16FIDyfqIvv/xSq4evabsfA3QbQ+/z76AwY8aMgZeXF/73v/8hNDSUS5dKpTh48CD27t3L5bO1tcWUKVO4syevXr3C7t27tTrzNXbsWDg4OCAwMBCvX78GACQlJWHChAmwsbHB5MmTy6B1hBBDo0ueCADAzs4OY8aMQaNGjSAQCPDixQt07twZ+/btUzttrYm1tTX279+P8ePHw8HBARYWFnBwcMCBAwfULr/ZvHkz5HI5OnXqBEdHR8jlcixatAiZmZlqN83qklcbM2bMwIkTJ+Ds7AwXFxeYmZnh+vXrAIBvvvkGtWrVwrJlyzBjxgw4Ojri9evX8PDwwMyZM7kyHj58iGHDhgEAEhISAADDhw+HiYkJLCwsVI7wf/DBB/D390dycjIsLS3x4sULNGjQAL///jv69eunUjdd8np7e+PYsWOYPHkyDh48CBMTE2RkZGDz5s1ql5SkpaUhLCxMq0s+dOlvbftrw4YNMDMzw6BBg2BtbY3s7GwYGxtj8+bNGD16dLF10oW2dSpqHGgjMDAQw4cPh6mpKYYOHaq2PDExEWFhYWpnkDTR9m+vNPqxsHY3adIEJ06cgKOjI6ytrcHj8ZCYmIiJEyeq/NjVpl3allVWRo4ciUuXLmHAgAFwcXGBXC7HmjVrkJubi6ioqCI/q8t+TNcx9D7/DjQxMTFBSEgI97wTS0tLmJubIz4+Hn369OG2jY2NDc6cOYMRI0agVq1acHZ2hoWFBX777TccO3as2PsorK2tcfHiRUyYMAEuLi5wcXFBTEwMmjdvjpCQEO6mfUJI5cJjdKFilZd33X29evUglUoRFRUFS0tLjTv+/Hk1kcvlePHiBUQiEXdEMDw8HDY2NmpHCJOTk5GQkABXV1eYmJigR48eeP78ucbZPXTJW5y8mxDT09PB5/PRpEkTtTyxsbHIyMiAs7Oz2qVOOTk5ePz4scayBQKBxvJSUlLw+vVr2NnZoWbNmkXWT5e8eW2RyWRwc3PTeONqWloaoqKi4OjoWOxMT3l07e+i+iuPWCxGVFQUhEIh6tSpozbzUGFj6+nTp2CMqd3/8OzZM8jl8kKPehdXp8LGQXFjHFAecW/cuDFGjRqFX375RW35F198gaCgIDx79qzIS+XatWsHQHk5SXF/e3n07cfi2p237MWLF+DxeKhdu7baeNK2XdqUFRUVBYlEggYNGhRbd33GQFJSEpKSklCnTh2IRCLExMQgLS1N5fJBTXUAtN+PFdaXhZUL6L/94uPjER8fX+yTqbUZvxKJBC9evICRkRFcXFwKvck7LwBzc3NDSkoKbGxssHTpUsyfPx+Asp8ePHhQ6L4lKSkJb968ga2trdolXRKJBA8fPoSzszN3Q3iehw8fwszMTOdJMAghhkMBBSkXsrKy4Orqip49e2r8gaZvXlJy1N/qFi9ejEWLFuHy5cvo0KGD2nIvLy9MmDABU6dOLbKc/AFFRaBtu0jlc+TIEQwcOBBnz55F165dDV0dQkg5Q/dQkPcuPDwcBw8e5K5xz8rKwqRJk5CamorPPvtM77yk5Ki/i5eeno6dO3fCz89PYzABAPv27cPEiRPfc83KXmVtF1G1Z88eled7PHjwALNnz4aXl5fa8zEIIQSggIIYgLOzM44ePQpra2vUr18f1tbWuHr1Ko4cOYIWLVronHf79u2FzuqT96/gw/mIZrpsm6qoZcuWqFOnDuRyeaHTbwLKI/maLj+r6Cpru4gqd3d3DBkyBPb29nBycoKPjw/q16+PP//8s9hnYBBCqia65IkYjEQiQXR0NExMTDQ+3EjbvG/evOFmEymMq6srrK2tS1znqkKXbVOVhIeHQyQSwd3dvVR+WGtzvTshhpKSkoL4+Hg4ODjo9bBMQkjVQQEFIYQQQgghRG90yRMhhBBCCCFEbxRQEEIIIYQQQvRW5R5sp1AoEBcXBwsLC60e2EYIIYQQYkiMMWRkZKB27dpqzy4hpDyoUAFFamoqMjMzVdKEQiFq1aqldRlxcXF0kykhhBBCKpyYmBg4OTkZuhqEqKlQAcWcOXOwZ88e1KhRg0v74IMPcP78ea3LsLCwAKD8o7S0tCz1OhJCCCGElKb09HQ4Oztzv2EIKW8qVEABAD169MDhw4f1/nzeZU6WlpYUUBBCCCGkwqBLtUl5VSEvxEtOToZEIjF0NQghhBBCCKnyKtwZij/++APnzp1DTk4OWrRogZ9//hnNmjUzdLUIIYQQQioEuVwOqVRq6GqQck4oFEIgEGiVt0IFFC1atMDEiRPRtGlTpKWlITAwEF27dsU///wDe3t7jZ8Ri8UQi8Xc+/T09PdVXUIIIYSQcoMxhvj4eKSmphq6KqSCqF69Ouzt7Yu93K5CPyk7JycHtra2WLlyJaZOnaoxz6JFi7B48WK19LS0NLqHghBCCCHlXnp6OqysrEr82+X169dITU2FnZ0dTE1N6Z4MUijGGLKzs5GQkIDq1avDwcGhyPxan6HQZSYlAPjoo490yq8PExMTODg4IDo6utA8c+fOxRdffMG9z5spgRBCCCGkqpDL5VwwYWNjY+jqkArAxMQEAJCQkAA7O7siL3/SOqDo2rWrTpUoixMfjDGVaPr169d48eIF3N3dC/2MSCSCSCQq9boQQgghhFQUefdMmJqaGrgmpCLJGy9SqbTIgEKnWZ4YY1r9KwtisRht2rTB77//jsePH+PcuXPo3bs3nJycMGLEiDJZJyGEEEJIZVIeL3MSi8XIzs42dDWIBtqOF60DiuHDh2u9cl3yakskEmHTpk04fPgw+vXrh4ULF6JLly64d+8e3QtBCCGEEFJB/fTTT5gyZYpB6yCTyZCamsr9K0xubq7KZD+MMZX3VZXWAcW+ffu0LlSXvLrw8fFBUFAQIiMjcf36dXz33XewtrYuk3URQgghhJCq4dq1a3Bzc4OLiwusra0hk8k05hs4cCDOnTsHQBkIWVtbw9zcHB07dkR8fPz7rHK5UqGmjSWGlyOWoP34HwAA2xcMh4+HE7eszxebEZeYxr33b9UQywP7vPc6EkIIIe/TvA3HcfZmJHq3b4KFE3pw6WmZOdh1/CbO3YpEelYunGtZY2i3FujdoYkBa6tq0/a9eJWQXCZlO9nVwOTxI3X6jEQiQXZ2Nng8HqysrLh0uVyOrKwstatS0tLSYGFhAT7/3TFyqVQKoVDIvReLxVAoFDAxMeHuJcm/HAA+/PBDpKam4tGjR2jYsKHGumVnZ+PmzZs4fPgwbt68iblz5+LcuXPw9vbG6NGjMWnSJBw9elSn9lYWegcUDx8+xI0bN5CSkqK2bObMmSWqFCm/5HKGyChlBJ6do/q08u+n94dEJsfXG47j3K1HaORe9BRjhBBCSGUQm5CKyKh4NPtAdRbJ3jM2o3f7xpg3thtexqdg2upDOHY5HGtnDMDEAe0MVFtVrxKSkWNRv4zKfqLzZw4fPowpU6Zw9+SOHz8ea9asQU5ODhwdHREWFsZNxhMeHo4PP/wQ8fHxEAqFWLFiBdavX4/MzEz4+vpiz549cHV1xerVq3H37l1kZmbi3r172LJlCwYPHqxz3c6ePYt27dqhWrVqCAoKQt++fdG6dWsAwMKFC+Ht7Y20tDSVQKiq0Cug+Pnnn/H555/D2dkZ1atXV1tOAUX5lJCSgfW/huD+41fIlUhR39kOUwZ1gFd9RwDAvciXmLj8VwDA9zP6Y8fR63iVkIpWTepg/rgAvE5Kw+A5O7jyPl22HybVjDGkazPMGtUV9V3sAABW5ibvv3GEEEKIjhhj2B98B3/+FYHYxDTUrmmFgDaeGNXTjzvi/fHMrYh5k4JJA9rhaUwS7j58gVo2Fpg58iM0beCMMYv34tytSADAn39FoMXI7yASGuHazi9xbsNnEBkrf2q19QZC7v6L/afvYNeJG+UmoChvhg0bhmHDhgEAYmNj0b17d/zxxx/o378/BgwYgF9++YV7vtiuXbswePBgiEQibNu2DUFBQbh16xZcXFywfPlyjB49GiEhIQCA06dP48yZM+jYsaPedTt+/Dj69FFeefHo0SN06tSJW+bp6QkA+Pfff+Hr66v3OioqnWZ5yrN8+XL89ttviI6Oxv3799X+kfLneWwSmg9fiZ9+u4wBnX3w1f/8ceZmJNqO+x5HL4UBALJyJIiMikdkVDw2HLyCSQPaw6GmJdb/GoJhX++Ck501tn49jCvz63EB+GXxKIzo4WeoZhFCCCF6Gz5/NyZ+qzyQ9t1nfSE04iPwu98wKN/Bs6cxiYiMisfS7afRvmldjOzphxN/ReCjyT/heWwSvhnfHX6N3AAA7ZrWxS+LR2H7AuXkNHnBRJ5XCanvpV2VgVwuh7m5OYYOHYoLFy4AAMaOHYs9e/aAMQapVIr9+/dj1KhRAIDdu3djxowZsLW1RXZ2NgIDA3Hjxg2kp6cDAAICAkoUTCgUCpw+fRq9evUCAGRlZcHCwoJbzuPxYGZmhqysLL3XUZHpFVCkp6eje/fupV0XUoZ+2H8RyenZaO9TF2P7toF/q4YY37cNFAqGxVtPqeVfOKEH2ni7Y3lgXwDAuVuP8O/LBDRwrcXlcXOwQSN3BzjUrHqn9gghhFRs9yJf4tjlcADAys/6obWXO1Z+1g8AEHz9Ia6HPVfJP7hrc/Rs1xj/69UK7X3qIlcixcZDV1DHsSZ3Zt7K3ASN3B3QsI692vqCgu/g8j3lJUBTh3xYhi2r2O7fvw8/Pz+YmJjA2dkZS5cu5W527tChA4RCIS5duoQ///wTFhYWaNu2LQAgJiYGM2bMgJOTE5ydneHu7o5q1arh9evXAFDsk56Lc/PmTdSpUwd2dsqrMSwtLZGW9u6+UYVCgYyMjCo786heAUWXLl1w6pT6j1BSfj1+8QYAUKf2u6djuv33+klMIhQKhUr+vHwu9tbg85VzED95mfA+qkoIIYSUuUfRyu9FPp8HF3vljJGOdtUhNFI+vCvvezNP/u/PvNf/avm9eOLKA0xecQAAsGB8d4zoTmf2CzN9+nR8/PHHyMrKQnp6OhYtWgS5XM4tHz16NHbv3o1du3Zh5Mh3N3y7ublh27ZtKlO/pqamokGDBqVSr/yXOwFAkyZNcPfuXe793bt3IRQKS219FY3e91D4+vri2LFjqFu3rtpDLxYtWlQadSOlqIalGQAgPSuXS0vPygEAVDc3UZkdAVDOTGFazRiZOWIoFMobo2ytzd9TbQkhhJCyZWOlfAKwQsGQmSOGhWk1ZOdKIJUpf7zWsDJTya/6/al8rc334qmrERj5zS+QyRVYMbUvpn3SsZRaUDkpFAqkp6fj7du3ePjwIdavX69yT8L//vc/NGzYELm5ufj++++59M8//xyzZs1CzZo14enpiYiICPz00084ceKEVutljCEtLQ0ZGRkAlLNHGRkZcTdYHz9+HIcPH1aph6+vLw4cOIBmzZrhq6++wrBhw2BmZqax/MpOr4Bi7dq1SEhIwP379xEdHa22nAKK8md4d1+c+OsBLt75F/Fv02FjZYbDF0IBAEMDWqjl//XMXXwxvAt+DVZG34521dHC0wUioRGMhQJIpHKkZea81zYQQgghpeXD5vXhaFcdsQmpCDp9FxMHtOO+82rZWKCLr+qR5j9CwjB9aCekZeXi4p1/AQD9PvQGAFiZVwMAte/FMzciMXzBbkhlciyb0puCiUJUq1YNpqbKAG/dunUIDAzE3r174eXlhdGjR6v81nR0dETbtm2Rnp6OevXqcekDBgyAXC7HN998g5cvX6Jx48ZYsmSJWvmFSUxMhIeHBwDAysoKdevWhbm5OV69eoVnz55BIpFwN14DQKNGjbB//34sXLgQiYmJ8Pf3x48//lhaXVLh8FjevFw6qF69OoKCgtCjR4/iM5cz6enpsLKyQlpaWqW7zi0oKEjjNL7dunVDvXr1sO/0bcxeexDZEgWMjXiQyBjaeljBv4kNRgwfin9epKD7tA0AgNb1rfAoLgupWTJYmhphRNtaWLVQOXvXxKW7sf9MGIRGPFibCRHgVQONnMxx4NZb5DAR4hJTkZaZi2pCPqxMjWBnKcTIdsprF+vWrYuAgAAAQHBwMJ49e6ZWX19fX/j5+WnVJgDYsGGDxv745JNPYGNjg7dv3+LAgQMa8wQGBgIAnj59ijNnzqgtt7a25mabuH37Nu7cuaOWh9pEbaI2UZuoTeWvTfnbUZh/XyZg5rrfEXL3XzjUtMLrpDS0866L72f0h+d/U583GfItnscmoX8nb0RGxSPmTSpyJFJ8MawzFk3sCQC4+SAKA2dvR0pGNuo726KFpyu2LxiOOn2+QUJyBoRGAtRztuXWmzcLlLZK47dLbm4uoqKiUKdOHVSrVo1LL2/PodCGn58fxo0bh4kTJ5Z62Zps3rwZL168wIoVK97L+sqTwsZNQXqdoRAKhejQoYPelSOl5/bt2wDA7bSLMqK7H9Ke30FmrhxSuQJWpkbgF7hcLU+fZjXRq6kNMnPlqG5qpHJZ26yh7VDPPB0ZOXIwxmBlqhxGA1o7oWs35c36EQ8eICIiAgAgFOh1qw4hhBCil+Rk7X4ge7jY4fjaScgVSxGXlAZ7G0uYVjPWmPfD5vWxZ8n/EJuQCpvqZjARvcvXqkkdPDu2GLGJqcgRS2H2XxnBPwVCJleolVXYd68hlMUP/rKSnZ2NS5cu4dGjRxg6dOh7W++kSZPe27oqKr3OUPTt2xeDBg3CiBEjyqJOZaqynaHIO6KTd3SmJK78/ZQ7Q5F2aQ2M/rsxjRBCCKlISvO7Me8MxfqZAzG+X9sSl6ePsjxDUZFMmTIFJ06cwIoVKyrkb9CKqEzPUFhZWWH06NH4448/UK9ePbWbsleuXKlPsYQQQgghhGi0ceNGbNy40dDVIBroFVDExcWhY8eOSEtLw71790q7TlqtPyEhAfXq1YO5Oc08VFqaN3TG7T2zAYDOThBCCKmwrK2tS62sP9ZMgFgqQ2165hIhhdIroDh//nxp10MrYrEYo0aNwvHjx+Hk5IS4uDisWbMGkydPNkh9SkqhUOD4lQe48vdTjOrVEj4eTgatj5mJCI3cS/bgF0IIIcTQirsZuygRz+Kw89gNtPV2R7+O3io3UxNCNNMroCjKqlWrMHv27NIuFgCwdOlSXL16FU+fPoWjoyOOHDmCQYMGoUWLFipzFJd3eYHE8l1n8M8z5RMc7zx8gb+2f2HgmhFCCCFV2/Q1h3HjQRS2/H4VDd1qYc6Ybvi4ozcENMEIIYXSK6AYP368xvS3b9/i0qVLZRZQ7NixAxMmTICjoyMA5ZzDnp6e2LlzZ4UIKDQFEnneJGfoVeaWSwlIyRAj6N4aXNg4FQqFAkKhEDKZDABgZGQEqVQKPp8PgUBQ6GuJRAIjIyPw+XytXwuFQgCAVCqFsbExGGPca4VCAZlMVuRruVzO1bew1/nbUVZtEgqF4PF4BmmTVCoFj8crsk0SiQQCgUDvNunbDrlcXmSbZDIZGGNlOt4MuW0M0SZt2lHS8aZNO/QZb5V925SHfUFJ21SV9gXtxn2P5IxcONvb4OoO7adnBYCElHffx5HRb/C/hXuwkgILQoqkV0CRmZmplvbq1Stcv35d5amFpSkuLg7x8fFqgUPLli0RGhpaJussTc9iE9F+3FqkZeZqXB6flIYG/RdrXZ5pNWPM/l9X5Mh4SM4UIycqFuO/XAKmUEDAU0AO5T0QAiggZzzw+HzwmRwyBU95f4RCBqlc+QUAhQwSGYNIJASTyyCRM1QzNoZCLoFEDoiM36WLhEYAU0AsU0AkVK5DLJVDZMQHeHyIpTII+TzwjYwglkhhLAD4AmPkSiQwFvDAEwghFktgbATwBMb/veYBfCNIZTII+QDjG0Euk8OIz6AAHyyvHeCDB4APBWQKHvgCZZukCkBoZJSvHcZgcmmptklZ98LaZASxWApjI2X7JBIJhAJlm2R57eAJwOQKCPgMcvBLtG1Exv+1T84gMlbmEcuU7WAK+bs2gSnbka9NxgIeeHwBxFIZRP/1u7JN+beN6mvwlT8MNLZJoYCAp9qm/NumYJuMjcvPtskbbwqeAAq5AkYFt02B8SYwEoCnkBUz3lS3jfJ1wTYJAMaKbJPIiAfwBP+17782cdvmXZt03TYl3hcIjQAm58Zb4duG92685ds2PIFQu/GmaV/AE4Axxm0bTePt3baRQiqHAcabapsK2xcox1th+2kZZAq+hm0jhUSGAmNMn30B71079N4XAOALNYw3w3735N82cYkyZIoZ5Iq3aD5iJTKzxVp/v8a/TVdLywssppqKcHnrDDRwq6V1eaR4z58/R25ursqD4wwlJycH165dw0cffaTX5y9fvow2bdpwgW9pll0Wbt68iSZNmpT4Cd96BRSFPVhmz549CAoKwowZM0pUKU3y5pSuUaOGSnrew24KIxaLIRa/25Gkp6vvKN6HDb9dKTSYAAC5guFVQqpOZX6/9929LHwjEew+aKdv9QghhJDK46ny+zEzR4yU6DelVmxGthg//HoRm+e+v2cgVAVBQUF49eoVNm/ebOiq4M2bN+jXr5/Gg+fFuX79OhYuXIhLly6Vetll5eLFiwgODsaiRYtKVE6p3kMxYMAAfPbZZ6VZJCcv0ssfHADKaE9TFJhnxYoVWLxY+yP/ZSVwcAcEnbmLjCzNQQWfz0OtGtrPLW1WzRhfjOiCr9YfAQAoZGIkPLoGxhQQQA7Ff5uWDxnkEIDP44MPGSRy5alonkIKiZwHY2MheAopxDLl0SCFTAKJnIdqIiEUMimkCkBkbASFXKY84icUAEwBiYzB2Eh5lFAiU/x3tIsPsVQO4X+vJVI5hHyAb6Q8KinkM/CNjP87CsYAgTEkea/5xpDKlEf8FDCCXK6AEV/ZDgYGI54CMsYHDzzwIYNMIYBAoH2bpAref6+VbcrfDpFQeXRNIi/QJiMewPuvHQKALzCCWCIrtE0iI4DxhVybGF95+j+vTQqFAgJeMW0yUh6hlMj/G/Ny5fYoeLS7sG3DFArlmQAjPsCYsk0CHsDjQSJTqG6bItrEM1Jum7w2SaXKdMYXQi5TQChQQM4EYGAQQA45BOCBBwFPDqmcD4GADx6TQqpQXsLBZzKIZYCxsWqbNG0btfGmadvkG28q2ylfO1SPiL8bbyIjQMFTXjYj5DMwnhByeeFtyj/e8rcp/3h71yZjKGTi/9pkBIVMlq9NcvVtk69N2myb4tskh5CvAOMJoShiX1B8O7TbNirjLd+2yT/e+AJBvnbktYmBbySCWCJR2xfk/d3k3zb59wX6b5uy2xfkipV1L2z/plebjPjgKZRtKrgv0GY/XVr7goJtKrgvKKodciYAn//+vnvyb6c85iYi1KxujswcidbfrwnJGZAr1B9GpyzPGNM+6ah1WeVd3hPMy+rp6do8rbwyWbJkCaZPn27oauhk8uTJ8PDwwKxZs0p0lqJUA4pnz56hQYMGpVkkx9nZGXw+H3FxcSrpcXFxcHV1LfRzc+fOxRdfvLvZOT09Hc7OzmVSx6LUdbJF7Klv8celMKzcdQaRBY6YONS0wr+/L9S53Jnf/wYAsLaywtbVs8GY8rISqVQKQPmjVCKRgMfjaXzN5/NhZGQEsVgMIyMjCAQC5ObmQigUqrzm8/kQi8UwNjYGj8fjXgPgrs3Ney0SicAYg0QiQbVq1SCXyyGVStVey2QyyOVyiEQiyGQyKBQKru7525H3Wtt2CAQCndtUXDtEIhEUCoXGdsjlcshkMq4deW0qrB2lvW3yXhty22jTJn23jTZt0nXblMV4K81to0ubSmPb0L6A9gWFbZuyGG/vY1+gvIRYDpNqxrj/6zydvle9PvkWz14lqaR5uNhhzmh/DOzStFLdQ5GSkoLExMQyKVvbp5Xnl5WVhQcPHsDV1RUODqqzTioUCkRGRiI3NxeNGzeGSCQCADx69AgCgQD169cHoHya9o0bN9ClSxcA7y6ncnNzQ3h4OGrVqoU6deqolC2RSBAWFoaaNWuqPVsNAF6/fo2nT5+iQYMGsLOz01j32NhY3LhxA8ePH9ep7Lw6vnnzBk2aNIG5uTkyMzNx48YNdO3alcvDGMPZs2fx4YcfIi4ujmvTgwcP4OLiAgcHB8hkMkRGRkImk6Fx48YqB9xlMhkeP34MmUwGLy8vri7W1tbw9fXF77//jpEj9X9qul4BxZo1a9TS0tLSsGfPHnTt2lVl+cyZM/WuXH6mpqZo1aoVTpw4geHDhwNQDprz589jwYIFhX5OJBJxg87QBAI+BnZpio87eqsFFnbW+j1Pw9xEuQlr2VjA1NSUS88/iErrdd6Ou+Dr/P2r6bVQKOSerljwdVnWV9c2FdcOAOW2Hfq2qaJsG23aVF7bURnHG+0Lyu+2oX2Bcttw3401LKArW2tzLqCorIFEfra276bFrVevHurVq1dkfj8/P/j5+RWZJyAgAM+ePdOpHmFhYfDy8kKtWrUQHh6OH374AZ9++ikAICkpCb169UJiYiIsLCyQnp6OkydPwtPTE5s3b4a5uTmWLVsGQHmgecCAAUhNTQWgPAtz6tQppKSkoGbNmggNDcWqVaswZcoUAMrLkD766COIxWIIhUK1YGPz5s2YO3cuvL298fz5c8yZM4f7bH6XL1+Gj4+PyhgtruysrCwMHToUoaGhcHFxwbNnz3Do0CG0atUKQ4cOxblz59C0aVMAwJUrVzB+/Hi8fPmSa1NSUhKcnZ3x9ddfIyMjA/369eMm1WCMITg4GA4ODnj48CEGDBgAuVwOU1NTuLi44OjRo+DzlWO6bdu2uHDhwvsPKPbt26cx3draGnfv3sXdu3e5tNIKKABg2bJl8Pf3x4IFC9C6dWv8+OOPqFGjBiZMmFBq63gfCgYWf4U+xeherfQq6/NuyrMteacrCSGEkKruxykdAYC7BEcXP3wxEDuP3UBrrzqVOpAobx48eICIiAi4ubnh6tWrCAgIQL9+/WBra4slS5bAxsYG165dg0AgwKxZszBlypRC71UoKDo6GuHh4ahZsyZOnz6NCRMmcEHBsmXLUL9+fRw+fBh8Ph9jxoxR+ezGjRtx5MgRdO7cGXK5XO0MRJ6nT5+qXQFTXNkrV66ETCbD8+fPIRQKceLECYwfPx6PHz/GgAED8Ouvv3IBRVBQED755BPuzMLjx4/xzz//wN7eHgDQvn17DBs2DPPnzwcAfPnll1i0aBG2bNmCMWPGoE+fPvjuu+8AACdPnoRcLucCChcXF5w+fVqrviyMXgHF/fv3S7RSfXXq1AkXLlzAzz//jCtXrqBJkybYuXMnLC21v/egPMkLLAZ2aWroqhBCCCGVhj6BRB6v+o5YN3NgKdaGaMPf3x9ubm4AgHbt2qFOnTq4ffs2evbsiZCQECxbtgwCgXKGr8DAQNSrV4+7xK44Xbt2Rc2aNQEoz7DExsZCoVCAz+cjJCQEq1at4n5cT5o0CYcOHeI+6+3tjb1796JmzZpo3LgxPv74Y43rEIvFalfEFFf2yZMn0bt3b1y+fBmMMYhEIkRHRyMhIQHDhg3DyJEj8d1330Emk+HIkSMqD5b29/fngon09HRcvXoV06dPx7lz58AYg4uLC7Zs2YLU1FTcvn1bJWDo1auXSj1FIhFycwufOEgbWgcUr169gpOTdk9y1iWvrjp06IAOHTqUSdmEEEIIIaTkdH0+mIWFhdr7jAzlM0EyMjJUlltaWkIulyMrK0utHMaYWpqJiQn3Ou9yoLyAomDZBeuxc+dOHDhwAN9//z3u3LmDqVOnarzkyd7eHv/8849KWnFlp6Sk4MyZM7h9+zaX1qlTJ+Tk5KBDhw5gjOHatWtITU2FnZ0dfHx8uHxWVlbc6+TkZPB4PGzbtk2l/CZNmiAtLQ08Hk9t3fklJSWhVq2STYWsdUDh7OyscSOVNC8pmYrwQD9CCCHkfQoODgZQsjMVVcEnn3xSZmUXd59FQffu3eNeZ2VlITIyEh4eHgAADw8P3L59G507dwYA3LhxA3Z2dqhevTqqV6+OhIQE7rORkZE6rdfDwwN3795F+/btAUBtBqvs7GyMHDkSI0eORGxsLFxcXDBmzBiVIAVQtveHH37QqezGjRvD398f06ZN49LS0tK4YOGTTz5BUFAQUlNTi5wty8XFBRYWFli1ahW8vLxUyrKwsICFhQWuXbuGjh07cm2qVq0ad+YkLCwMLVu2LLaviqLTJU8rV64s0cpI6fPz88OGDRs0TuH2ySefcM/pKOzZIWU1VVxBvr6+3M4lb5q6grp168bdDLZhwwaN9aU2UZuoTdQmahO1qbg2JScnqz23iqizsbExdBU40dHRGDt2LLp3745du3bBy8sLzZo1A6C8H3fQoEGoVq0aqlevjgULFmDu3LkAgI4dO6Jfv35o1qwZ+Hy+zg9YnjFjBkaMGAFjY2MYGxtjxYoVKsu7deuGnj17okmTJrh48SJcXV25SQvy8/X1hUKhwOPHj7kZT4sre/HixQgICEB6ejo8PT0RERGBU6dO4ebNmwCAoUOHolu3bsjNzeVuOteEz+dj+fLl6N+/P2bOnIkaNWrg8uXLUCgU2LRpExYtWoThw4fj66+/hpmZGbZu3YpLly6Bz+eDMYYzZ87g1KlTOvVbQVoHFM2bN8fhw4e1zksIIYQQYgg1atSAtbW1oatR7r19+xYbN27UGHyVNOhLTEyEh4eHVs+hqFu3LpYvXw6hUIjDhw/D29sb8+a9m+7X398fx48fx969e5Gbm4vVq1dzZ1c6duyIDRs24NixY3B0dMTu3bu5m4/zys5/eZBQKES3bt24o/M9evTgHsxsY2ODoKAglc+fPn0a69atw549e+Du7o5Lly5pnP6Vz+dj6tSp2LFjB1atWqVV2c2bN8e1a9ewefNmBAUFoXHjxio/7Js1a4aAgACYmZnB3d290DYBym3h4eGBQ4cOIT09HR07dsT48eMBKAMbd3d3HD16FAKBAJs2beJmUrt48SLq169f4qeU81gVuzYpPT0dVlZWSEtLq7A3cxNCCCGk6iiN3y65ubmIiopCnTp1VI6wv6+zSFVBbm4uJkyYgB07dqhMfVyeLV26FD179uTOBhVU2LgpiAIKQgghhJByrCwDCkKKou24ocmVCSGEEEIIIXqjgIIQQgghhBCiNwooCCGEEEIIIXrTK6Do378/99huQgghhBBSMSgUCkNXgVQg2o4XnZ5DkUcoFGLgwIGoUaMGRo0ahbFjx3IPHyGEEEIIIeWLsbEx+Hw+4uLiYGtrC2NjY43TnxICKJ84LpFIkJiYCD6fD2Nj4yLz6z3LU3JyMvbv34+dO3fi/v37aNeuHcaOHYvBgwfDzMxMr8q/DzTLEyGEEEIqktL67SKRSPD69WtkZ2eXYu1IZWZqagoHB4eyCyjyCw0Nxc6dO7F161YYGxtjyJAhmD59Oho3blzSoksdBRSEEEIIqUhK87cLYwwymYwuWyfFEggEMDIy0upMll6XPOUXFxeHM2fO4OzZs+Dz+ejbty9evnwJb29vrFq1Cl9++WVJV8EJDQ3Fs2fPVNKsrKzQtWvXUlsHIYQQQkhlxePxIBQKK8yD10jFoFdAIZVKceLECezcuRPBwcFo3LgxPvvsM4wYMQLVq1cHoHyUd//+/Us1oNiyZQtOnjyJVq1acWkuLi4UUBBCCCGEEGIgegUUtWvXhlgsxtChQ3Hjxg34+vqq5encuTPMzc1LXMGCWrVqhcOHD5d6uYQQQgghhBDd6RVQfPfddxgyZEixN1+/evVKr0oVJS0tDadOnYKVlRWaNGlC90EQQgghhBBiQHoFFGPHji3temjt3r17WLduHWJjYxEXF4cff/wRI0eOLDS/WCyGWCzm3qenp7+PahJCCCGEEFIllPim7JK4e/cuoqOji8zTvXt37kzI4MGDsXbtWpiamgIA1qxZg3HjxqFp06aFzii1YsUKLF68uFTrTQghhBBCCFEqlWlj9bVhwwaEhIQUmefnn3+Gvb29xmWMMdja2uKrr77CrFmzNObRdIbC2dmZpo0lhBBCSIVAU96T8s6gZygCAwMRGBio9+d5PB4sLCyQkJBQaB6RSASRSKT3OgghhBBCCCGF4xu6AtpSKBRISkpSSQsNDcWLFy/QokULA9WKEEIIIYSQqs2gZyh0IZfL0a5dO/Tp0weNGjXCy5cvsX79enTr1g0DBw40dPUIIYQQQgipkipMQCEUCnHnzh3s2rULly5dgrW1NbZt24aPP/5Yp3Lybhmh2Z4IIYQQUhHk/WYx4G2vhBTJoDdlG8KrV6/g7Oxs6GoQQgghhOgkJiYGTk5Ohq4GIWqqXEChUCgQFxcHCwsL8Hg8Q1enxPJmrYqJiaGZHwyA+t9wqO8Ni/rfsKj/DccQfc8YQ0ZGBmrXrg0+v8Lc/kqqkApzyVNp4fP5lTK6t7S0pC8VA6L+Nxzqe8Oi/jcs6n/Ded99b2Vl9d7WRYiuKMwlhBBCCCGE6I0CCkIIIYQQQojeKKCo4EQiERYuXEgP7zMQ6n/Dob43LOp/w6L+Nxzqe0LUVbmbsgkhhBBCCCGlh85QEEIIIYQQQvRGAQUhhBBCCCFEbxRQEEIIIYQQQvRGAUUFFx0djbt37yIzM9PQVanU5HI5Hj58iCdPnkAmkxWa7+XLl7h79y7S09PfY+2qjocPH+Lq1auQSCRqy6RSKUJDQxEZGWmAmlVujDE8evQIjx8/RmG33cXHx+POnTt4+/bte65d5ZaTk4OIiAg8ePAA2dnZGvMoFAo8ePAA4eHhkMvl77mGlUtkZCSuXbtW6HLGGB4+fIj79+8X+l2gTR5CKh1GKqSMjAzWrVs3ZmZmxho0aMDMzMzYrl27DF2tSkehULAlS5YwOzs71rBhQ+bq6sqcnZ3ZqVOnVPJlZ2ezvn37MlNTU/bBBx8wExMTtmHDBgPVunL6+++/mYmJCQPAYmJiVJZdvHiR1apVi7m5uTEbGxvm5eXFoqOjDVTTyiUkJIS5u7szJycn5uPjw/z8/FhUVBS3XC6XswkTJjCRSMQ8PT2ZSCRi8+bNM1yFK5FNmzYxKysr9sEHHzBPT09mYWHB1q9fr5InPDyc1a1blzk4ODBHR0fm6urK/v77bwPVuOI6cOAAa9myJbO2tmYCgUBjnidPnjBPT09ma2vLXFxcmIODA7t69arOeQipjCigqKAmTZrE6tevz96+fcsYY2zXrl1MIBCwhw8fGrhmlYtYLGYLFixgycnJjDFlgDF//nxmZmbG3rx5w+WbOXMmc3FxYfHx8Ywxxg4dOsR4PB67e/euQepd2WRkZLAGDRqwWbNmqQUUaWlpzMbGhs2ePZsxxphEImGdOnVi7du3N1R1K43IyEhmYmLClixZwqWFhoaya9euce9//vlnZmVlxSIjIxljjF2/fp0JhUJ25MiR917fyuTVq1eMx+OxTZs2cWnbt29nANjz588ZY8pg7oMPPmBDhgxhCoWCMcbYiBEjmLu7O5NKpQapd0W1cOFCdv36de67VBNfX1/Wo0cPJpPJGGOMBQYGMnt7e5aVlaVTHkIqIwooKiCJRMLMzc3ZunXrVNJdXFzYV199ZaBaVR2vXr1iANiZM2cYY8ogw8bGhi1btkwlX8OGDVlgYKAhqljpjBw5kk2fPp2dO3dOLaDYs2cPEwqFLCUlhUsLDg5mANiTJ08MUNvKY+TIkaxRo0bcj1VNmjVrxsaPH6+SFhAQwHr27FnW1avUwsLCGAB2//59Li0yMpIBYLdv32aMMXblyhUGgEVERHB5Hj9+zACwc+fOvfc6VwaFBRTh4eEMgMrZhri4OMbn89mhQ4e0zkNIZUX3UFRAT548QWZmJpo3b66S3qJFC4SGhhqoVlXHnTt3AAB169YFAMTExODt27dq28PX15e2RynYt28f7t+/j5UrV2pcHhoaCnd3d1SvXp1L8/Pz45YR/V24cAG9evWCWCzGvXv3EBMTo3IPhVwux4MHD9TGvp+fH/V9CXl5eWH48OGYOnUqTpw4gZMnT2LSpEkYPHgwWrRoAUA5vkUiERo1asR9zsPDA5aWltT/pSyvP/OPdQcHBzg5OXHLtMlDSGVlZOgKEN0lJycDAGxsbFTSbWxs8PLlS0NUqcpISEjA559/jmHDhnEBRVHb4/bt2++9jpXJkydPMGPGDISEhBT6VNrk5GS1vq9evTr4fD63bYjuGGOIj49HbGwsGjRogBo1auDFixfw8PDAgQMH4ObmhoyMDEilUo1jn/q+5CZMmIDx48dj5syZ4PP5kEgkWLhwIXg8HgDNYx+g/i8LycnJMDU1RbVq1VTS8/e1NnkIqazoDEUFJBQKAQC5ubkq6Tk5OTA2NjZElaqElJQUBAQEwMnJCVu3buXSaXuUnXHjxqFHjx5ITU3F1atXERERAUB5ligqKgqAsv8L9r1EIoFCoaD+LwEejweBQIA///wTISEhCA0NRUxMDAQCAT799FMANPbL0qNHj/DRRx9h3rx5ePz4MSIjI7Fs2TL4+/vjwYMHADSPfYD6vywIhUKIxWK1Wc7y97U2eQiprCigqIBcXV0BALGxsSrpsbGxcHFxMUSVKr3U1FT4+/ujWrVqCA4OhpmZGbfMxcUFPB6PtkcZqFWrFp49e4Y5c+Zgzpw52LFjBwBgxYoVOHHiBADl34OmvgdA/V9Cbm5u6Nq1K9zd3QEAZmZmGDFiBK5evQrGGMzMzGBjY0NjvwycOXMGxsbGGD16NJc2dOhQWFpa4vTp0wCUYz8lJUVlOlmxWIy3b99S/5cyV1dXyOVyvHnzhktTKBSIj4/n+lqbPIRUVhRQVED29vZo3Lgxjh8/zqW9ffsW165dQ9euXQ1Ys8opLS0N/v7+MDIyQnBwMCwsLFSWW1hYoGXLlirbIyMjAxcvXqTtUUKHDh3C1atXuX8//PADAOD333/HtGnTAABdu3bFmzdvVC4vO3bsGMzNzdG6dWuD1Luy6Natm1qw8OrVK9SsWZO77KZr165ccAco76v4888/aeyXkK2tLXJyclSe65GWloaMjAzY2toCADp37gw+n4+TJ09yeU6dOgWZTIYuXbq89zpXZu3bt4dIJFLZz1++fBmpqancWNcmDyGVFd1DUUGtWLEC/fr1g5OTE7y8vLBmzRo0aNAAI0aMMHTVKhWJRIKAgADExMRgx44dCA8P55Z5eHjAzs4OAPDtt9+iW7duqFOnDvz8/PDjjz+idu3aGDdunKGqXmW0bNkSH3/8MYYPH45ly5YhOTkZCxYswMKFC2Fqamro6lVoc+bMQdOmTTFt2jT06tUL//zzD9atW4fvvvuOy7NgwQL4+flh4sSJ6NWrF/bu3YuMjAx8+eWXBqx5xderVy+4urqiT58+mDVrFng8HtauXYtatWqhX79+AIDatWtj2rRpCAwMRHZ2NgQCAWbNmoXJkyfDzc3NoPWvaP79918kJCTgyZMnAICrV68CUN4cb2lpCSsrK8ybN4/bFubm5pgzZw6GDRsGLy8vANAqDyGVFY8VvNiPVBgXLlzAli1buBmG5syZgxo1ahi6WpVKcnIy+vTpo3HZ119/je7du3Pv//rrL2zcuBEJCQnw9vbGnDlzuICDlI67d+9i+vTp+OOPP7ijtIDyMo9169bh4sWLEIlEGDJkCIYPH27AmlYe0dHRWL16NR4/fgwHBwcMHToUPXr0UMnz4MEDrF27Fi9fvkT9+vUxe/Zs7jIpor+kpCSsX78e9+/fB2MMXl5emD59usp+RaFQYOvWrTh+/DgYY+jZsycmT54MgUBgwJpXPEuXLsWZM2fU0jdt2oQmTZpw73fv3o0jR45AIpHA398fn332mdr9EdrkIaSyoYCCEEIIIYQQoje6h4IQQgghhBCiNwooCCGEEEIIIXqjgIIQQgghhBCiNwooCCGEEEIIIXqjgIIQQgghhBCiNwooCCGEEEIIIXqjgIIQQgghhBCiN3pSNiGEaOH8+fNISkoCAPTu3RtmZmZlur5bt24hKioKANCxY0fY29uX6foIIYQQfVFAQQghWpg/fz6ys7Ph6emJLl26lHlA8ffff+Py5cs4ePAgTp06hYCAgDJdHyGEEKIvuuSJEEK0NHjwYBw4cAC2trZlvq7JkyfjwIED4PNpN00IIaR8o28qQkiVk5ycjAMHDiA+Pl4l/dixY7h3757W5Zw9exaRkZEqaTdv3sStW7e495cvX8b9+/eRlpaGS5cuITg4GDk5OVw9Tp48iStXrkAmk5WgRYQQQojh0CVPhJAqx9raGrt378aWLVtw4cIF8Pl87Ny5E9OmTUNoaKjW5cybNw8DBw5Ew4YNubSff/4ZRkZGaNmyJQBgxYoVSEpKQkJCAry8vBAREQE+n4/58+djyZIlaNy4McLCwuDu7o6QkBA6I0EIIaTCoYCCEFLl8Hg87N69G02aNMGqVaswYMAATJs2DevWrUP9+vVLfX0vXrxAeHg4HBwckJaWBhcXF8yfPx9hYWGwtbVFYmIiXF1dERwcjB49epT6+gkhhJCyRIfCCCFVkr29PXbu3IlvvvkGffr0gb+/P8aPH18m6+rTpw8cHBwAAFZWVvD09MTHH3/M3Ytha2uLunXr4t9//y2T9RNCCCFlic5QEEKqrN69e6Np06a4c+cOgoODy2w91tbWKu9FIpHGtNzc3DKrAyGEEFJW6AwFIaTKOnjwIMLDw+Hm5oalS5fqVQZjTOW9VCotjaoRQgghFQYFFISQKikmJgYTJ07EqlWrcPjwYezduxd//PGHzuU8ffqUe61QKBAWFlaa1SSEEELKPbrkiRBS5SgUCowaNQqtWrXC1KlTwePxsGTJEnz66ado1aoVd7+DNo4ePQo7OzvUr18fJ06cQEpKCu7du4d79+6hefPmZdgKQgghpHygMxSEkCrn5s2bcHBwwK5du8Dj8QAAs2bNwogRI3DixIlCP/fgwQMcOHAAWVlZXNr06dNhY2ODGzduoG/fvrh+/Tratm2LhIQEAEDHjh3RtGlTlXI6d+4MLy8vlbRu3brB09OTe3/r1i0cOHBA7ZIqQgghpLzhMfq2IoSQYi1YsABPnjwBAPz000+wtbVFixYtMHDgQMyZM6fU17dp0yZcvnwZADB37lx4e3uX+joIIYSQ0kABBSGE6KksAwpCCCGkoqBLngghRE8FL1MihBBCqiI6Q0EIIYQQQgjRG52hIIQQQgghhOiNAgpCCCGEEEKI3iigIIQQQgghhOiNAgpCCCGEEEKI3iigIIQQQgghhOiNAgpCCCGEEEKI3iigIIQQQgghhOiNAgpCCCGEEEKI3iigIIQQQgghhOjt/w0Kl06YSNotAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "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_component,\n",
    "    plot_field,\n",
    "    plot_monitor_planes,\n",
    "    port_plane_outlines,\n",
    ")\n",
    "from gds_fdtd.simprocessor import load_component_from_tech\n",
    "from gds_fdtd.smatrix import SMatrix\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/11_bragg_grating/recorded\")\n",
    "\n",
    "tech = Technology.from_yaml(_find(\"examples/tech.yaml\"))\n",
    "cell, layout = load_cell(str(_find(\"examples/devices.gds\")), top_cell=\"bragg_te1550\")\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]}\")\n",
    "\n",
    "plot_component(comp)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c1ea963",
   "metadata": {},
   "source": [
    "At full scale the grating looks like a plain strip — the corrugation is tens\n",
    "of nanometers on a 95 µm device. Zoom in on a few microns and the periodic\n",
    "teeth appear:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "86b5eae9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:20.369078Z",
     "iopub.status.busy": "2026-07-21T07:26:20.368663Z",
     "iopub.status.idle": "2026-07-21T07:26:20.447817Z",
     "shell.execute_reply": "2026-07-21T07:26:20.447031Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plot_component(comp)\n",
    "ax.set_xlim(45, 50)\n",
    "ax.set_ylim(-1.0, 1.0)\n",
    "ax.set_title(\"five microns of the corrugation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96cbd37c",
   "metadata": {},
   "source": [
    "## 1 · One spec: a fine spectrum, a frugal field monitor\n",
    "\n",
    "Resolving a 3-nm stopband needs a dense wavelength grid — **501 points**\n",
    "(0.2 nm spacing) across 1.50–1.60 µm here. Recording the **field** at all\n",
    "501 points would multiply the download for nothing, so the monitor keeps\n",
    "seven wavelengths: a tight 0.3-nm comb centered on the Bragg wavelength\n",
    "(1.5430 µm, measured from a first coarse pass on the same mesh) plus two\n",
    "far-out-of-band companions. The z-plane is pinned to the middle of the\n",
    "silicon core:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "86b1ace5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:20.450082Z",
     "iopub.status.busy": "2026-07-21T07:26:20.449970Z",
     "iopub.status.idle": "2026-07-21T07:26:20.568195Z",
     "shell.execute_reply": "2026-07-21T07:26:20.567790Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "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=501,\n",
    "    mesh=10, z_min=-1.0, z_max=1.0,\n",
    "    field_monitors=(\"z\",),\n",
    "    field_monitor_positions={\"z\": 0.11},\n",
    "    field_monitor_wavelengths=(1.5424, 1.5427, 1.5430, 1.5433, 1.5436, 1.51, 1.59),\n",
    ")\n",
    "solver = get_solver(\"tidy3d\")(comp, technology=tech, spec=spec)\n",
    "plot_monitor_planes(solver)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "029676cd",
   "metadata": {},
   "source": [
    "The whole problem in 3D — 95 µm of corrugated silicon in its oxide, the\n",
    "port cones, the pinned monitor plane, and the domain box (orbit / zoom /\n",
    "click):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fda18f6f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:20.570697Z",
     "iopub.status.busy": "2026-07-21T07:26:20.570488Z",
     "iopub.status.idle": "2026-07-21T07:26:20.579105Z",
     "shell.execute_reply": "2026-07-21T07:26:20.578710Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe srcdoc=\"<div id=&quot;gdsfdtd3d_01323f1760&quot; style=&quot;position:relative;width:100%;height:440px;background:#101418;border-radius:8px;overflow:hidden;font-family:system-ui,sans-serif&quot;>\n",
       "  <div id=&quot;gdsfdtd3d_01323f1760_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",
       "  <div id=&quot;gdsfdtd3d_01323f1760_legend&quot; style=&quot;position:absolute;right:10px;top:10px;z-index:2;color:#dde3ea;font-size:12px;background:rgba(16,20,24,.75);padding:6px 10px;border-radius:6px&quot;></div>\n",
       "</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;bragg_te1550&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, -1.75], [95.10000000000001, -1.75], [95.10000000000001, 1.75], [0.0, 1.75]], &quot;z0&quot;: -1.0, &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, -1.75], [95.10000000000001, -1.75], [95.10000000000001, 1.75], [0.0, 1.75]], &quot;z0&quot;: 0.0, &quot;z1&quot;: 1.0, &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, -0.275], [0.0, 0.275], [0.158, 0.275], [0.158, 0.225], [0.317, 0.225], [0.317, 0.275], [0.47500000000000003, 0.275], [0.47500000000000003, 0.225], [0.634, 0.225], [0.634, 0.275], [0.792, 0.275], [0.792, 0.225], [0.9510000000000001, 0.225], [0.9510000000000001, 0.275], [1.109, 0.275], [1.109, 0.225], [1.268, 0.225], [1.268, 0.275], [1.426, 0.275], [1.426, 0.225], [1.585, 0.225], [1.585, 0.275], [1.743, 0.275], [1.743, 0.225], [1.9020000000000001, 0.225], [1.9020000000000001, 0.275], [2.06, 0.275], [2.06, 0.225], [2.219, 0.225], [2.219, 0.275], [2.3770000000000002, 0.275], [2.3770000000000002, 0.225], [2.536, 0.225], [2.536, 0.275], [2.694, 0.275], [2.694, 0.225], [2.853, 0.225], [2.853, 0.275], [3.011, 0.275], [3.011, 0.225], [3.17, 0.225], [3.17, 0.275], [3.3280000000000003, 0.275], [3.3280000000000003, 0.225], [3.487, 0.225], [3.487, 0.275], [3.645, 0.275], [3.645, 0.225], [3.8040000000000003, 0.225], [3.8040000000000003, 0.275], [3.962, 0.275], [3.962, 0.225], [4.121, 0.225], [4.121, 0.275], [4.279, 0.275], [4.279, 0.225], [4.438, 0.225], [4.438, 0.275], [4.596, 0.275], [4.596, 0.225], [4.755, 0.225], [4.755, 0.275], [4.913, 0.275], [4.913, 0.225], [5.072, 0.225], [5.072, 0.275], [5.23, 0.275], [5.23, 0.225], [5.389, 0.225], [5.389, 0.275], [5.547, 0.275], [5.547, 0.225], [5.706, 0.225], [5.706, 0.275], [5.864, 0.275], [5.864, 0.225], [6.023, 0.225], [6.023, 0.275], [6.181, 0.275], [6.181, 0.225], [6.34, 0.225], [6.34, 0.275], [6.498, 0.275], [6.498, 0.225], [6.657, 0.225], [6.657, 0.275], [6.815, 0.275], [6.815, 0.225], [6.974, 0.225], [6.974, 0.275], [7.132000000000001, 0.275], [7.132000000000001, 0.225], [7.291, 0.225], [7.291, 0.275], [7.449, 0.275], [7.449, 0.225], [7.6080000000000005, 0.225], [7.6080000000000005, 0.275], [7.766, 0.275], [7.766, 0.225], [7.925, 0.225], [7.925, 0.275], [8.083, 0.275], [8.083, 0.225], [8.242, 0.225], [8.242, 0.275], [8.4, 0.275], [8.4, 0.225], [8.559000000000001, 0.225], [8.559000000000001, 0.275], [8.717, 0.275], [8.717, 0.225], [8.876, 0.225], [8.876, 0.275], [9.034, 0.275], [9.034, 0.225], [9.193, 0.225], [9.193, 0.275], [9.351, 0.275], [9.351, 0.225], [9.51, 0.225], [9.51, 0.275], [9.668000000000001, 0.275], [9.668000000000001, 0.225], [9.827, 0.225], [9.827, 0.275], [9.985, 0.275], [9.985, 0.225], [10.144, 0.225], [10.144, 0.275], [10.302, 0.275], [10.302, 0.225], [10.461, 0.225], [10.461, 0.275], [10.619, 0.275], [10.619, 0.225], [10.778, 0.225], [10.778, 0.275], [10.936, 0.275], [10.936, 0.225], [11.095, 0.225], [11.095, 0.275], [11.253, 0.275], [11.253, 0.225], [11.412, 0.225], [11.412, 0.275], [11.57, 0.275], [11.57, 0.225], [11.729000000000001, 0.225], [11.729000000000001, 0.275], [11.887, 0.275], [11.887, 0.225], [12.046, 0.225], [12.046, 0.275], [12.204, 0.275], [12.204, 0.225], [12.363, 0.225], [12.363, 0.275], [12.521, 0.275], [12.521, 0.225], [12.68, 0.225], [12.68, 0.275], [12.838000000000001, 0.275], [12.838000000000001, 0.225], [12.997, 0.225], [12.997, 0.275], [13.155000000000001, 0.275], [13.155000000000001, 0.225], [13.314, 0.225], [13.314, 0.275], [13.472, 0.275], [13.472, 0.225], [13.631, 0.225], [13.631, 0.275], [13.789, 0.275], [13.789, 0.225], [13.948, 0.225], [13.948, 0.275], [14.106, 0.275], [14.106, 0.225], [14.265, 0.225], [14.265, 0.275], [14.423, 0.275], [14.423, 0.225], [14.582, 0.225], [14.582, 0.275], [14.74, 0.275], [14.74, 0.225], [14.899000000000001, 0.225], [14.899000000000001, 0.275], [15.057, 0.275], [15.057, 0.225], [15.216000000000001, 0.225], [15.216000000000001, 0.275], [15.374, 0.275], [15.374, 0.225], [15.533, 0.225], [15.533, 0.275], [15.691, 0.275], [15.691, 0.225], [15.85, 0.225], [15.85, 0.275], [16.008, 0.275], [16.008, 0.225], [16.167, 0.225], [16.167, 0.275], [16.325, 0.275], [16.325, 0.225], [16.484, 0.225], [16.484, 0.275], [16.642, 0.275], [16.642, 0.225], [16.801000000000002, 0.225], [16.801000000000002, 0.275], [16.959, 0.275], [16.959, 0.225], [17.118000000000002, 0.225], [17.118000000000002, 0.275], [17.276, 0.275], [17.276, 0.225], [17.435, 0.225], [17.435, 0.275], [17.593, 0.275], [17.593, 0.225], [17.752, 0.225], [17.752, 0.275], [17.91, 0.275], [17.91, 0.225], [18.069, 0.225], [18.069, 0.275], [18.227, 0.275], [18.227, 0.225], [18.386, 0.225], [18.386, 0.275], [18.544, 0.275], [18.544, 0.225], [18.703, 0.225], [18.703, 0.275], [18.861, 0.275], [18.861, 0.225], [19.02, 0.225], [19.02, 0.275], [19.178, 0.275], [19.178, 0.225], [19.337, 0.225], [19.337, 0.275], [19.495, 0.275], [19.495, 0.225], [19.654, 0.225], [19.654, 0.275], [19.812, 0.275], [19.812, 0.225], [19.971, 0.225], [19.971, 0.275], [20.129, 0.275], [20.129, 0.225], [20.288, 0.225], [20.288, 0.275], [20.446, 0.275], [20.446, 0.225], [20.605, 0.225], [20.605, 0.275], [20.763, 0.275], [20.763, 0.225], [20.922, 0.225], [20.922, 0.275], [21.080000000000002, 0.275], [21.080000000000002, 0.225], [21.239, 0.225], [21.239, 0.275], [21.397000000000002, 0.275], [21.397000000000002, 0.225], [21.556, 0.225], [21.556, 0.275], [21.714000000000002, 0.275], [21.714000000000002, 0.225], [21.873, 0.225], [21.873, 0.275], [22.031, 0.275], [22.031, 0.225], [22.19, 0.225], [22.19, 0.275], [22.348, 0.275], [22.348, 0.225], [22.507, 0.225], [22.507, 0.275], [22.665, 0.275], [22.665, 0.225], [22.824, 0.225], [22.824, 0.275], [22.982, 0.275], [22.982, 0.225], [23.141000000000002, 0.225], [23.141000000000002, 0.275], [23.299, 0.275], [23.299, 0.225], [23.458000000000002, 0.225], [23.458000000000002, 0.275], [23.616, 0.275], [23.616, 0.225], [23.775000000000002, 0.225], [23.775000000000002, 0.275], [23.933, 0.275], [23.933, 0.225], [24.092, 0.225], [24.092, 0.275], [24.25, 0.275], [24.25, 0.225], [24.409, 0.225], [24.409, 0.275], [24.567, 0.275], [24.567, 0.225], [24.726, 0.225], [24.726, 0.275], [24.884, 0.275], [24.884, 0.225], [25.043, 0.225], [25.043, 0.275], [25.201, 0.275], [25.201, 0.225], [25.36, 0.225], [25.36, 0.275], [25.518, 0.275], [25.518, 0.225], [25.677, 0.225], [25.677, 0.275], [25.835, 0.275], [25.835, 0.225], [25.994, 0.225], [25.994, 0.275], [26.152, 0.275], [26.152, 0.225], [26.311, 0.225], [26.311, 0.275], [26.469, 0.275], [26.469, 0.225], [26.628, 0.225], [26.628, 0.275], [26.786, 0.275], [26.786, 0.225], [26.945, 0.225], [26.945, 0.275], [27.103, 0.275], [27.103, 0.225], [27.262, 0.225], [27.262, 0.275], [27.42, 0.275], [27.42, 0.225], [27.579, 0.225], [27.579, 0.275], [27.737000000000002, 0.275], [27.737000000000002, 0.225], [27.896, 0.225], [27.896, 0.275], [28.054000000000002, 0.275], [28.054000000000002, 0.225], [28.213, 0.225], [28.213, 0.275], [28.371000000000002, 0.275], [28.371000000000002, 0.225], [28.53, 0.225], [28.53, 0.275], [28.688, 0.275], [28.688, 0.225], [28.847, 0.225], [28.847, 0.275], [29.005, 0.275], [29.005, 0.225], [29.164, 0.225], [29.164, 0.275], [29.322, 0.275], [29.322, 0.225], [29.481, 0.225], [29.481, 0.275], [29.639, 0.275], [29.639, 0.225], [29.798000000000002, 0.225], [29.798000000000002, 0.275], [29.956, 0.275], [29.956, 0.225], [30.115000000000002, 0.225], [30.115000000000002, 0.275], [30.273, 0.275], [30.273, 0.225], [30.432000000000002, 0.225], [30.432000000000002, 0.275], [30.59, 0.275], [30.59, 0.225], [30.749000000000002, 0.225], [30.749000000000002, 0.275], [30.907, 0.275], [30.907, 0.225], [31.066, 0.225], [31.066, 0.275], [31.224, 0.275], [31.224, 0.225], [31.383, 0.225], [31.383, 0.275], [31.541, 0.275], [31.541, 0.225], [31.7, 0.225], [31.7, 0.275], [31.858, 0.275], [31.858, 0.225], [32.017, 0.225], [32.017, 0.275], [32.175, 0.275], [32.175, 0.225], [32.334, 0.225], [32.334, 0.275], [32.492, 0.275], [32.492, 0.225], [32.651, 0.225], [32.651, 0.275], [32.809, 0.275], [32.809, 0.225], [32.968, 0.225], [32.968, 0.275], [33.126, 0.275], [33.126, 0.225], [33.285000000000004, 0.225], [33.285000000000004, 0.275], [33.443, 0.275], [33.443, 0.225], [33.602000000000004, 0.225], [33.602000000000004, 0.275], [33.76, 0.275], [33.76, 0.225], [33.919000000000004, 0.225], [33.919000000000004, 0.275], [34.077, 0.275], [34.077, 0.225], [34.236000000000004, 0.225], [34.236000000000004, 0.275], [34.394, 0.275], [34.394, 0.225], [34.553, 0.225], [34.553, 0.275], [34.711, 0.275], [34.711, 0.225], [34.87, 0.225], [34.87, 0.275], [35.028, 0.275], [35.028, 0.225], [35.187, 0.225], [35.187, 0.275], [35.345, 0.275], [35.345, 0.225], [35.504, 0.225], [35.504, 0.275], [35.662, 0.275], [35.662, 0.225], [35.821, 0.225], [35.821, 0.275], [35.979, 0.275], [35.979, 0.225], [36.138, 0.225], [36.138, 0.275], [36.296, 0.275], [36.296, 0.225], [36.455, 0.225], [36.455, 0.275], [36.613, 0.275], [36.613, 0.225], [36.772, 0.225], [36.772, 0.275], [36.93, 0.275], [36.93, 0.225], [37.089, 0.225], [37.089, 0.275], [37.247, 0.275], [37.247, 0.225], [37.406, 0.225], [37.406, 0.275], [37.564, 0.275], [37.564, 0.225], [37.723, 0.225], [37.723, 0.275], [37.881, 0.275], [37.881, 0.225], [38.04, 0.225], [38.04, 0.275], [38.198, 0.275], [38.198, 0.225], [38.357, 0.225], [38.357, 0.275], [38.515, 0.275], [38.515, 0.225], [38.674, 0.225], [38.674, 0.275], [38.832, 0.275], [38.832, 0.225], [38.991, 0.225], [38.991, 0.275], [39.149, 0.275], [39.149, 0.225], [39.308, 0.225], [39.308, 0.275], [39.466, 0.275], [39.466, 0.225], [39.625, 0.225], [39.625, 0.275], [39.783, 0.275], [39.783, 0.225], [39.942, 0.225], [39.942, 0.275], [40.1, 0.275], [40.1, 0.225], [40.259, 0.225], [40.259, 0.275], [40.417, 0.275], [40.417, 0.225], [40.576, 0.225], [40.576, 0.275], [40.734, 0.275], [40.734, 0.225], [40.893, 0.225], [40.893, 0.275], [41.051, 0.275], [41.051, 0.225], [41.21, 0.225], [41.21, 0.275], [41.368, 0.275], [41.368, 0.225], [41.527, 0.225], [41.527, 0.275], [41.685, 0.275], [41.685, 0.225], [41.844, 0.225], [41.844, 0.275], [42.002, 0.275], [42.002, 0.225], [42.161, 0.225], [42.161, 0.275], [42.319, 0.275], [42.319, 0.225], [42.478, 0.225], [42.478, 0.275], [42.636, 0.275], [42.636, 0.225], [42.795, 0.225], [42.795, 0.275], [42.953, 0.275], [42.953, 0.225], [43.112, 0.225], [43.112, 0.275], [43.27, 0.275], [43.27, 0.225], [43.429, 0.225], [43.429, 0.275], [43.587, 0.275], [43.587, 0.225], [43.746, 0.225], [43.746, 0.275], [43.904, 0.275], [43.904, 0.225], [44.063, 0.225], [44.063, 0.275], [44.221000000000004, 0.275], [44.221000000000004, 0.225], [44.38, 0.225], [44.38, 0.275], [44.538000000000004, 0.275], [44.538000000000004, 0.225], [44.697, 0.225], [44.697, 0.275], [44.855000000000004, 0.275], [44.855000000000004, 0.225], [45.014, 0.225], [45.014, 0.275], [45.172000000000004, 0.275], [45.172000000000004, 0.225], [45.331, 0.225], [45.331, 0.275], [45.489000000000004, 0.275], [45.489000000000004, 0.225], [45.648, 0.225], [45.648, 0.275], [45.806000000000004, 0.275], [45.806000000000004, 0.225], [45.965, 0.225], [45.965, 0.275], [46.123, 0.275], [46.123, 0.225], [46.282000000000004, 0.225], [46.282000000000004, 0.275], [46.44, 0.275], [46.44, 0.225], [46.599000000000004, 0.225], [46.599000000000004, 0.275], [46.757, 0.275], [46.757, 0.225], [46.916000000000004, 0.225], [46.916000000000004, 0.275], [47.074, 0.275], [47.074, 0.225], [47.233000000000004, 0.225], [47.233000000000004, 0.275], [47.391, 0.275], [47.391, 0.225], [47.550000000000004, 0.225], [47.550000000000004, 0.275], [47.708, 0.275], [47.708, 0.225], [47.867000000000004, 0.225], [47.867000000000004, 0.275], [48.025, 0.275], [48.025, 0.225], [48.184, 0.225], [48.184, 0.275], [48.342, 0.275], [48.342, 0.225], [48.501, 0.225], [48.501, 0.275], [48.659, 0.275], [48.659, 0.225], [48.818, 0.225], [48.818, 0.275], [48.976, 0.275], [48.976, 0.225], [49.135, 0.225], [49.135, 0.275], [49.293, 0.275], [49.293, 0.225], [49.452, 0.225], [49.452, 0.275], [49.61, 0.275], [49.61, 0.225], [49.769, 0.225], [49.769, 0.275], [49.927, 0.275], [49.927, 0.225], [50.086, 0.225], [50.086, 0.275], [50.244, 0.275], [50.244, 0.225], [50.403, 0.225], [50.403, 0.275], [50.561, 0.275], [50.561, 0.225], [50.72, 0.225], [50.72, 0.275], [50.878, 0.275], [50.878, 0.225], [51.037, 0.225], [51.037, 0.275], [51.195, 0.275], [51.195, 0.225], [51.354, 0.225], [51.354, 0.275], [51.512, 0.275], [51.512, 0.225], [51.671, 0.225], [51.671, 0.275], [51.829, 0.275], [51.829, 0.225], [51.988, 0.225], [51.988, 0.275], [52.146, 0.275], [52.146, 0.225], [52.305, 0.225], [52.305, 0.275], [52.463, 0.275], [52.463, 0.225], [52.622, 0.225], [52.622, 0.275], [52.78, 0.275], [52.78, 0.225], [52.939, 0.225], [52.939, 0.275], [53.097, 0.275], [53.097, 0.225], [53.256, 0.225], [53.256, 0.275], [53.414, 0.275], [53.414, 0.225], [53.573, 0.225], [53.573, 0.275], [53.731, 0.275], [53.731, 0.225], [53.89, 0.225], [53.89, 0.275], [54.048, 0.275], [54.048, 0.225], [54.207, 0.225], [54.207, 0.275], [54.365, 0.275], [54.365, 0.225], [54.524, 0.225], [54.524, 0.275], [54.682, 0.275], [54.682, 0.225], [54.841, 0.225], [54.841, 0.275], [54.999, 0.275], [54.999, 0.225], [55.158, 0.225], [55.158, 0.275], [55.316, 0.275], [55.316, 0.225], [55.475, 0.225], [55.475, 0.275], [55.633, 0.275], [55.633, 0.225], [55.792, 0.225], [55.792, 0.275], [55.95, 0.275], [55.95, 0.225], [56.109, 0.225], [56.109, 0.275], [56.267, 0.275], [56.267, 0.225], [56.426, 0.225], [56.426, 0.275], [56.584, 0.275], [56.584, 0.225], [56.743, 0.225], [56.743, 0.275], [56.901, 0.275], [56.901, 0.225], [57.06, 0.225], [57.06, 0.275], [57.218, 0.275], [57.218, 0.225], [57.377, 0.225], [57.377, 0.275], [57.535000000000004, 0.275], [57.535000000000004, 0.225], [57.694, 0.225], [57.694, 0.275], [57.852000000000004, 0.275], [57.852000000000004, 0.225], [58.011, 0.225], [58.011, 0.275], [58.169000000000004, 0.275], [58.169000000000004, 0.225], [58.328, 0.225], [58.328, 0.275], [58.486000000000004, 0.275], [58.486000000000004, 0.225], [58.645, 0.225], [58.645, 0.275], [58.803000000000004, 0.275], [58.803000000000004, 0.225], [58.962, 0.225], [58.962, 0.275], [59.120000000000005, 0.275], [59.120000000000005, 0.225], [59.279, 0.225], [59.279, 0.275], [59.437000000000005, 0.275], [59.437000000000005, 0.225], [59.596000000000004, 0.225], [59.596000000000004, 0.275], [59.754, 0.275], [59.754, 0.225], [59.913000000000004, 0.225], [59.913000000000004, 0.275], [60.071, 0.275], [60.071, 0.225], [60.230000000000004, 0.225], [60.230000000000004, 0.275], [60.388, 0.275], [60.388, 0.225], [60.547000000000004, 0.225], [60.547000000000004, 0.275], [60.705, 0.275], [60.705, 0.225], [60.864000000000004, 0.225], [60.864000000000004, 0.275], [61.022, 0.275], [61.022, 0.225], [61.181000000000004, 0.225], [61.181000000000004, 0.275], [61.339, 0.275], [61.339, 0.225], [61.498000000000005, 0.225], [61.498000000000005, 0.275], [61.656, 0.275], [61.656, 0.225], [61.815000000000005, 0.225], [61.815000000000005, 0.275], [61.973, 0.275], [61.973, 0.225], [62.132, 0.225], [62.132, 0.275], [62.29, 0.275], [62.29, 0.225], [62.449, 0.225], [62.449, 0.275], [62.607, 0.275], [62.607, 0.225], [62.766, 0.225], [62.766, 0.275], [62.924, 0.275], [62.924, 0.225], [63.083, 0.225], [63.083, 0.275], [63.241, 0.275], [63.241, 0.225], [63.4, 0.225], [63.4, 0.275], [63.558, 0.275], [63.558, 0.225], [63.717, 0.225], [63.717, 0.275], [63.875, 0.275], [63.875, 0.225], [64.034, 0.225], [64.034, 0.275], [64.19200000000001, 0.275], [64.19200000000001, 0.225], [64.351, 0.225], [64.351, 0.275], [64.509, 0.275], [64.509, 0.225], [64.668, 0.225], [64.668, 0.275], [64.82600000000001, 0.275], [64.82600000000001, 0.225], [64.985, 0.225], [64.985, 0.275], [65.143, 0.275], [65.143, 0.225], [65.302, 0.225], [65.302, 0.275], [65.46000000000001, 0.275], [65.46000000000001, 0.225], [65.619, 0.225], [65.619, 0.275], [65.777, 0.275], [65.777, 0.225], [65.936, 0.225], [65.936, 0.275], [66.09400000000001, 0.275], [66.09400000000001, 0.225], [66.253, 0.225], [66.253, 0.275], [66.411, 0.275], [66.411, 0.225], [66.57000000000001, 0.225], [66.57000000000001, 0.275], [66.728, 0.275], [66.728, 0.225], [66.887, 0.225], [66.887, 0.275], [67.045, 0.275], [67.045, 0.225], [67.20400000000001, 0.225], [67.20400000000001, 0.275], [67.362, 0.275], [67.362, 0.225], [67.521, 0.225], [67.521, 0.275], [67.679, 0.275], [67.679, 0.225], [67.83800000000001, 0.225], [67.83800000000001, 0.275], [67.996, 0.275], [67.996, 0.225], [68.155, 0.225], [68.155, 0.275], [68.313, 0.275], [68.313, 0.225], [68.47200000000001, 0.225], [68.47200000000001, 0.275], [68.63, 0.275], [68.63, 0.225], [68.789, 0.225], [68.789, 0.275], [68.947, 0.275], [68.947, 0.225], [69.106, 0.225], [69.106, 0.275], [69.264, 0.275], [69.264, 0.225], [69.423, 0.225], [69.423, 0.275], [69.581, 0.275], [69.581, 0.225], [69.74, 0.225], [69.74, 0.275], [69.898, 0.275], [69.898, 0.225], [70.057, 0.225], [70.057, 0.275], [70.215, 0.275], [70.215, 0.225], [70.374, 0.225], [70.374, 0.275], [70.532, 0.275], [70.532, 0.225], [70.691, 0.225], [70.691, 0.275], [70.849, 0.275], [70.849, 0.225], [71.008, 0.225], [71.008, 0.275], [71.166, 0.275], [71.166, 0.225], [71.325, 0.225], [71.325, 0.275], [71.483, 0.275], [71.483, 0.225], [71.642, 0.225], [71.642, 0.275], [71.8, 0.275], [71.8, 0.225], [71.959, 0.225], [71.959, 0.275], [72.117, 0.275], [72.117, 0.225], [72.276, 0.225], [72.276, 0.275], [72.434, 0.275], [72.434, 0.225], [72.593, 0.225], [72.593, 0.275], [72.751, 0.275], [72.751, 0.225], [72.91, 0.225], [72.91, 0.275], [73.068, 0.275], [73.068, 0.225], [73.227, 0.225], [73.227, 0.275], [73.385, 0.275], [73.385, 0.225], [73.544, 0.225], [73.544, 0.275], [73.702, 0.275], [73.702, 0.225], [73.861, 0.225], [73.861, 0.275], [74.019, 0.275], [74.019, 0.225], [74.178, 0.225], [74.178, 0.275], [74.336, 0.275], [74.336, 0.225], [74.495, 0.225], [74.495, 0.275], [74.653, 0.275], [74.653, 0.225], [74.812, 0.225], [74.812, 0.275], [74.97, 0.275], [74.97, 0.225], [75.129, 0.225], [75.129, 0.275], [75.287, 0.275], [75.287, 0.225], [75.446, 0.225], [75.446, 0.275], [75.604, 0.275], [75.604, 0.225], [75.763, 0.225], [75.763, 0.275], [75.921, 0.275], [75.921, 0.225], [76.08, 0.225], [76.08, 0.275], [76.238, 0.275], [76.238, 0.225], [76.397, 0.225], [76.397, 0.275], [76.555, 0.275], [76.555, 0.225], [76.714, 0.225], [76.714, 0.275], [76.872, 0.275], [76.872, 0.225], [77.031, 0.225], [77.031, 0.275], [77.18900000000001, 0.275], [77.18900000000001, 0.225], [77.348, 0.225], [77.348, 0.275], [77.506, 0.275], [77.506, 0.225], [77.665, 0.225], [77.665, 0.275], [77.82300000000001, 0.275], [77.82300000000001, 0.225], [77.982, 0.225], [77.982, 0.275], [78.14, 0.275], [78.14, 0.225], [78.299, 0.225], [78.299, 0.275], [78.45700000000001, 0.275], [78.45700000000001, 0.225], [78.616, 0.225], [78.616, 0.275], [78.774, 0.275], [78.774, 0.225], [78.933, 0.225], [78.933, 0.275], [79.09100000000001, 0.275], [79.09100000000001, 0.225], [79.25, 0.225], [79.25, 0.275], [79.408, 0.275], [79.408, 0.225], [79.56700000000001, 0.225], [79.56700000000001, 0.275], [79.72500000000001, 0.275], [79.72500000000001, 0.225], [79.884, 0.225], [79.884, 0.275], [80.042, 0.275], [80.042, 0.225], [80.20100000000001, 0.225], [80.20100000000001, 0.275], [80.359, 0.275], [80.359, 0.225], [80.518, 0.225], [80.518, 0.275], [80.676, 0.275], [80.676, 0.225], [80.83500000000001, 0.225], [80.83500000000001, 0.275], [80.993, 0.275], [80.993, 0.225], [81.152, 0.225], [81.152, 0.275], [81.31, 0.275], [81.31, 0.225], [81.46900000000001, 0.225], [81.46900000000001, 0.275], [81.627, 0.275], [81.627, 0.225], [81.786, 0.225], [81.786, 0.275], [81.944, 0.275], [81.944, 0.225], [82.10300000000001, 0.225], [82.10300000000001, 0.275], [82.261, 0.275], [82.261, 0.225], [82.42, 0.225], [82.42, 0.275], [82.578, 0.275], [82.578, 0.225], [82.737, 0.225], [82.737, 0.275], [82.895, 0.275], [82.895, 0.225], [83.054, 0.225], [83.054, 0.275], [83.212, 0.275], [83.212, 0.225], [83.371, 0.225], [83.371, 0.275], [83.529, 0.275], [83.529, 0.225], [83.688, 0.225], [83.688, 0.275], [83.846, 0.275], [83.846, 0.225], [84.005, 0.225], [84.005, 0.275], [84.163, 0.275], [84.163, 0.225], [84.322, 0.225], [84.322, 0.275], [84.48, 0.275], [84.48, 0.225], [84.639, 0.225], [84.639, 0.275], [84.797, 0.275], [84.797, 0.225], [84.956, 0.225], [84.956, 0.275], [85.114, 0.275], [85.114, 0.225], [85.273, 0.225], [85.273, 0.275], [85.431, 0.275], [85.431, 0.225], [85.59, 0.225], [85.59, 0.275], [85.748, 0.275], [85.748, 0.225], [85.907, 0.225], [85.907, 0.275], [86.065, 0.275], [86.065, 0.225], [86.224, 0.225], [86.224, 0.275], [86.382, 0.275], [86.382, 0.225], [86.541, 0.225], [86.541, 0.275], [86.699, 0.275], [86.699, 0.225], [86.858, 0.225], [86.858, 0.275], [87.016, 0.275], [87.016, 0.225], [87.175, 0.225], [87.175, 0.275], [87.333, 0.275], [87.333, 0.225], [87.492, 0.225], [87.492, 0.275], [87.65, 0.275], [87.65, 0.225], [87.809, 0.225], [87.809, 0.275], [87.967, 0.275], [87.967, 0.225], [88.126, 0.225], [88.126, 0.275], [88.284, 0.275], [88.284, 0.225], [88.443, 0.225], [88.443, 0.275], [88.601, 0.275], [88.601, 0.225], [88.76, 0.225], [88.76, 0.275], [88.918, 0.275], [88.918, 0.225], [89.077, 0.225], [89.077, 0.275], [89.235, 0.275], [89.235, 0.225], [89.394, 0.225], [89.394, 0.275], [89.552, 0.275], [89.552, 0.225], [89.711, 0.225], [89.711, 0.275], [89.869, 0.275], [89.869, 0.225], [90.028, 0.225], [90.028, 0.275], [90.186, 0.275], [90.186, 0.225], [90.345, 0.225], [90.345, 0.275], [90.503, 0.275], [90.503, 0.225], [90.662, 0.225], [90.662, 0.275], [90.82000000000001, 0.275], [90.82000000000001, 0.225], [90.979, 0.225], [90.979, 0.275], [91.137, 0.275], [91.137, 0.225], [91.296, 0.225], [91.296, 0.275], [91.45400000000001, 0.275], [91.45400000000001, 0.225], [91.613, 0.225], [91.613, 0.275], [91.771, 0.275], [91.771, 0.225], [91.93, 0.225], [91.93, 0.275], [92.08800000000001, 0.275], [92.08800000000001, 0.225], [92.247, 0.225], [92.247, 0.275], [92.405, 0.275], [92.405, 0.225], [92.56400000000001, 0.225], [92.56400000000001, 0.275], [92.72200000000001, 0.275], [92.72200000000001, 0.225], [92.881, 0.225], [92.881, 0.275], [93.039, 0.275], [93.039, 0.225], [93.19800000000001, 0.225], [93.19800000000001, 0.275], [93.35600000000001, 0.275], [93.35600000000001, 0.225], [93.515, 0.225], [93.515, 0.275], [93.673, 0.275], [93.673, 0.225], [93.83200000000001, 0.225], [93.83200000000001, 0.275], [93.99, 0.275], [93.99, 0.225], [94.149, 0.225], [94.149, 0.275], [94.307, 0.275], [94.307, 0.225], [94.46600000000001, 0.225], [94.46600000000001, 0.275], [94.624, 0.275], [94.624, 0.225], [94.783, 0.225], [94.783, 0.275], [94.941, 0.275], [94.941, 0.225], [95.10000000000001, 0.225], [95.10000000000001, -0.225], [94.941, -0.225], [94.941, -0.275], [94.783, -0.275], [94.783, -0.225], [94.624, -0.225], [94.624, -0.275], [94.46600000000001, -0.275], [94.46600000000001, -0.225], [94.307, -0.225], [94.307, -0.275], [94.149, -0.275], [94.149, -0.225], [93.99, -0.225], [93.99, -0.275], [93.83200000000001, -0.275], [93.83200000000001, -0.225], [93.673, -0.225], [93.673, -0.275], [93.515, -0.275], [93.515, -0.225], [93.35600000000001, -0.225], [93.35600000000001, -0.275], [93.19800000000001, -0.275], [93.19800000000001, -0.225], [93.039, -0.225], [93.039, -0.275], [92.881, -0.275], [92.881, -0.225], [92.72200000000001, -0.225], [92.72200000000001, -0.275], [92.56400000000001, -0.275], [92.56400000000001, -0.225], [92.405, -0.225], [92.405, -0.275], [92.247, -0.275], [92.247, -0.225], [92.08800000000001, -0.225], [92.08800000000001, -0.275], [91.93, -0.275], [91.93, -0.225], [91.771, -0.225], [91.771, -0.275], [91.613, -0.275], [91.613, -0.225], [91.45400000000001, -0.225], [91.45400000000001, -0.275], [91.296, -0.275], [91.296, -0.225], [91.137, -0.225], [91.137, -0.275], [90.979, -0.275], [90.979, -0.225], [90.82000000000001, -0.225], [90.82000000000001, -0.275], [90.662, -0.275], [90.662, -0.225], [90.503, -0.225], [90.503, -0.275], [90.345, -0.275], [90.345, -0.225], [90.186, -0.225], [90.186, -0.275], [90.028, -0.275], [90.028, -0.225], [89.869, -0.225], [89.869, -0.275], [89.711, -0.275], [89.711, -0.225], [89.552, -0.225], [89.552, -0.275], [89.394, -0.275], [89.394, -0.225], [89.235, -0.225], [89.235, -0.275], [89.077, -0.275], [89.077, -0.225], [88.918, -0.225], [88.918, -0.275], [88.76, -0.275], [88.76, -0.225], [88.601, -0.225], [88.601, -0.275], [88.443, -0.275], [88.443, -0.225], [88.284, -0.225], [88.284, -0.275], [88.126, -0.275], [88.126, -0.225], [87.967, -0.225], [87.967, -0.275], [87.809, -0.275], [87.809, -0.225], [87.65, -0.225], [87.65, -0.275], [87.492, -0.275], [87.492, -0.225], [87.333, -0.225], [87.333, -0.275], [87.175, -0.275], [87.175, -0.225], [87.016, -0.225], [87.016, -0.275], [86.858, -0.275], [86.858, -0.225], [86.699, -0.225], [86.699, -0.275], [86.541, -0.275], [86.541, -0.225], [86.382, -0.225], [86.382, -0.275], [86.224, -0.275], [86.224, -0.225], [86.065, -0.225], [86.065, -0.275], [85.907, -0.275], [85.907, -0.225], [85.748, -0.225], [85.748, -0.275], [85.59, -0.275], [85.59, -0.225], [85.431, -0.225], [85.431, -0.275], [85.273, -0.275], [85.273, -0.225], [85.114, -0.225], [85.114, -0.275], [84.956, -0.275], [84.956, -0.225], [84.797, -0.225], [84.797, -0.275], [84.639, -0.275], [84.639, -0.225], [84.48, -0.225], [84.48, -0.275], [84.322, -0.275], [84.322, -0.225], [84.163, -0.225], [84.163, -0.275], [84.005, -0.275], [84.005, -0.225], [83.846, -0.225], [83.846, -0.275], [83.688, -0.275], [83.688, -0.225], [83.529, -0.225], [83.529, -0.275], [83.371, -0.275], [83.371, -0.225], [83.212, -0.225], [83.212, -0.275], [83.054, -0.275], [83.054, -0.225], [82.895, -0.225], [82.895, -0.275], [82.737, -0.275], [82.737, -0.225], [82.578, -0.225], [82.578, -0.275], [82.42, -0.275], [82.42, -0.225], [82.261, -0.225], [82.261, -0.275], [82.10300000000001, -0.275], [82.10300000000001, -0.225], [81.944, -0.225], [81.944, -0.275], [81.786, -0.275], [81.786, -0.225], [81.627, -0.225], [81.627, -0.275], [81.46900000000001, -0.275], [81.46900000000001, -0.225], [81.31, -0.225], [81.31, -0.275], [81.152, -0.275], [81.152, -0.225], [80.993, -0.225], [80.993, -0.275], [80.83500000000001, -0.275], [80.83500000000001, -0.225], [80.676, -0.225], [80.676, -0.275], [80.518, -0.275], [80.518, -0.225], [80.359, -0.225], [80.359, -0.275], [80.20100000000001, -0.275], [80.20100000000001, -0.225], [80.042, -0.225], [80.042, -0.275], [79.884, -0.275], [79.884, -0.225], [79.72500000000001, -0.225], [79.72500000000001, -0.275], [79.56700000000001, -0.275], [79.56700000000001, -0.225], [79.408, -0.225], [79.408, -0.275], [79.25, -0.275], [79.25, -0.225], [79.09100000000001, -0.225], [79.09100000000001, -0.275], [78.933, -0.275], [78.933, -0.225], [78.774, -0.225], [78.774, -0.275], [78.616, -0.275], [78.616, -0.225], [78.45700000000001, -0.225], [78.45700000000001, -0.275], [78.299, -0.275], [78.299, -0.225], [78.14, -0.225], [78.14, -0.275], [77.982, -0.275], [77.982, -0.225], [77.82300000000001, -0.225], [77.82300000000001, -0.275], [77.665, -0.275], [77.665, -0.225], [77.506, -0.225], [77.506, -0.275], [77.348, -0.275], [77.348, -0.225], [77.18900000000001, -0.225], [77.18900000000001, -0.275], [77.031, -0.275], [77.031, -0.225], [76.872, -0.225], [76.872, -0.275], [76.714, -0.275], [76.714, -0.225], [76.555, -0.225], [76.555, -0.275], [76.397, -0.275], [76.397, -0.225], [76.238, -0.225], [76.238, -0.275], [76.08, -0.275], [76.08, -0.225], [75.921, -0.225], [75.921, -0.275], [75.763, -0.275], [75.763, -0.225], [75.604, -0.225], [75.604, -0.275], [75.446, -0.275], [75.446, -0.225], [75.287, -0.225], [75.287, -0.275], [75.129, -0.275], [75.129, -0.225], [74.97, -0.225], [74.97, -0.275], [74.812, -0.275], [74.812, -0.225], [74.653, -0.225], [74.653, -0.275], [74.495, -0.275], [74.495, -0.225], [74.336, -0.225], [74.336, -0.275], [74.178, -0.275], [74.178, -0.225], [74.019, -0.225], [74.019, -0.275], [73.861, -0.275], [73.861, -0.225], [73.702, -0.225], [73.702, -0.275], [73.544, -0.275], [73.544, -0.225], [73.385, -0.225], [73.385, -0.275], [73.227, -0.275], [73.227, -0.225], [73.068, -0.225], [73.068, -0.275], [72.91, -0.275], [72.91, -0.225], [72.751, -0.225], [72.751, -0.275], [72.593, -0.275], [72.593, -0.225], [72.434, -0.225], [72.434, -0.275], [72.276, -0.275], [72.276, -0.225], [72.117, -0.225], [72.117, -0.275], [71.959, -0.275], [71.959, -0.225], [71.8, -0.225], [71.8, -0.275], [71.642, -0.275], [71.642, -0.225], [71.483, -0.225], [71.483, -0.275], [71.325, -0.275], [71.325, -0.225], [71.166, -0.225], [71.166, -0.275], [71.008, -0.275], [71.008, -0.225], [70.849, -0.225], [70.849, -0.275], [70.691, -0.275], [70.691, -0.225], [70.532, -0.225], [70.532, -0.275], [70.374, -0.275], [70.374, -0.225], [70.215, -0.225], [70.215, -0.275], [70.057, -0.275], [70.057, -0.225], [69.898, -0.225], [69.898, -0.275], [69.74, -0.275], [69.74, -0.225], [69.581, -0.225], [69.581, -0.275], [69.423, -0.275], [69.423, -0.225], [69.264, -0.225], [69.264, -0.275], [69.106, -0.275], [69.106, -0.225], [68.947, -0.225], [68.947, -0.275], [68.789, -0.275], [68.789, -0.225], [68.63, -0.225], [68.63, -0.275], [68.47200000000001, -0.275], [68.47200000000001, -0.225], [68.313, -0.225], [68.313, -0.275], [68.155, -0.275], [68.155, -0.225], [67.996, -0.225], [67.996, -0.275], [67.83800000000001, -0.275], [67.83800000000001, -0.225], [67.679, -0.225], [67.679, -0.275], [67.521, -0.275], [67.521, -0.225], [67.362, -0.225], [67.362, -0.275], [67.20400000000001, -0.275], [67.20400000000001, -0.225], [67.045, -0.225], [67.045, -0.275], [66.887, -0.275], [66.887, -0.225], [66.728, -0.225], [66.728, -0.275], [66.57000000000001, -0.275], [66.57000000000001, -0.225], [66.411, -0.225], [66.411, -0.275], [66.253, -0.275], [66.253, -0.225], [66.09400000000001, -0.225], [66.09400000000001, -0.275], [65.936, -0.275], [65.936, -0.225], [65.777, -0.225], [65.777, -0.275], [65.619, -0.275], [65.619, -0.225], [65.46000000000001, -0.225], [65.46000000000001, -0.275], [65.302, -0.275], [65.302, -0.225], [65.143, -0.225], [65.143, -0.275], [64.985, -0.275], [64.985, -0.225], [64.82600000000001, -0.225], [64.82600000000001, -0.275], [64.668, -0.275], [64.668, -0.225], [64.509, -0.225], [64.509, -0.275], [64.351, -0.275], [64.351, -0.225], [64.19200000000001, -0.225], [64.19200000000001, -0.275], [64.034, -0.275], [64.034, -0.225], [63.875, -0.225], [63.875, -0.275], [63.717, -0.275], [63.717, -0.225], [63.558, -0.225], [63.558, -0.275], [63.4, -0.275], [63.4, -0.225], [63.241, -0.225], [63.241, -0.275], [63.083, -0.275], [63.083, -0.225], [62.924, -0.225], [62.924, -0.275], [62.766, -0.275], [62.766, -0.225], [62.607, -0.225], [62.607, -0.275], [62.449, -0.275], [62.449, -0.225], [62.29, -0.225], [62.29, -0.275], [62.132, -0.275], [62.132, -0.225], [61.973, -0.225], [61.973, -0.275], [61.815000000000005, -0.275], [61.815000000000005, -0.225], [61.656, -0.225], [61.656, -0.275], [61.498000000000005, -0.275], [61.498000000000005, -0.225], [61.339, -0.225], [61.339, -0.275], [61.181000000000004, -0.275], [61.181000000000004, -0.225], [61.022, -0.225], [61.022, -0.275], [60.864000000000004, -0.275], [60.864000000000004, -0.225], [60.705, -0.225], [60.705, -0.275], [60.547000000000004, -0.275], [60.547000000000004, -0.225], [60.388, -0.225], [60.388, -0.275], [60.230000000000004, -0.275], [60.230000000000004, -0.225], [60.071, -0.225], [60.071, -0.275], [59.913000000000004, -0.275], [59.913000000000004, -0.225], [59.754, -0.225], [59.754, -0.275], [59.596000000000004, -0.275], [59.596000000000004, -0.225], [59.437000000000005, -0.225], [59.437000000000005, -0.275], [59.279, -0.275], [59.279, -0.225], [59.120000000000005, -0.225], [59.120000000000005, -0.275], [58.962, -0.275], [58.962, -0.225], [58.803000000000004, -0.225], [58.803000000000004, -0.275], [58.645, -0.275], [58.645, -0.225], [58.486000000000004, -0.225], [58.486000000000004, -0.275], [58.328, -0.275], [58.328, -0.225], [58.169000000000004, -0.225], [58.169000000000004, -0.275], [58.011, -0.275], [58.011, -0.225], [57.852000000000004, -0.225], [57.852000000000004, -0.275], [57.694, -0.275], [57.694, -0.225], [57.535000000000004, -0.225], [57.535000000000004, -0.275], [57.377, -0.275], [57.377, -0.225], [57.218, -0.225], [57.218, -0.275], [57.06, -0.275], [57.06, -0.225], [56.901, -0.225], [56.901, -0.275], [56.743, -0.275], [56.743, -0.225], [56.584, -0.225], [56.584, -0.275], [56.426, -0.275], [56.426, -0.225], [56.267, -0.225], [56.267, -0.275], [56.109, -0.275], [56.109, -0.225], [55.95, -0.225], [55.95, -0.275], [55.792, -0.275], [55.792, -0.225], [55.633, -0.225], [55.633, -0.275], [55.475, -0.275], [55.475, -0.225], [55.316, -0.225], [55.316, -0.275], [55.158, -0.275], [55.158, -0.225], [54.999, -0.225], [54.999, -0.275], [54.841, -0.275], [54.841, -0.225], [54.682, -0.225], [54.682, -0.275], [54.524, -0.275], [54.524, -0.225], [54.365, -0.225], [54.365, -0.275], [54.207, -0.275], [54.207, -0.225], [54.048, -0.225], [54.048, -0.275], [53.89, -0.275], [53.89, -0.225], [53.731, -0.225], [53.731, -0.275], [53.573, -0.275], [53.573, -0.225], [53.414, -0.225], [53.414, -0.275], [53.256, -0.275], [53.256, -0.225], [53.097, -0.225], [53.097, -0.275], [52.939, -0.275], [52.939, -0.225], [52.78, -0.225], [52.78, -0.275], [52.622, -0.275], [52.622, -0.225], [52.463, -0.225], [52.463, -0.275], [52.305, -0.275], [52.305, -0.225], [52.146, -0.225], [52.146, -0.275], [51.988, -0.275], [51.988, -0.225], [51.829, -0.225], [51.829, -0.275], [51.671, -0.275], [51.671, -0.225], [51.512, -0.225], [51.512, -0.275], [51.354, -0.275], [51.354, -0.225], [51.195, -0.225], [51.195, -0.275], [51.037, -0.275], [51.037, -0.225], [50.878, -0.225], [50.878, -0.275], [50.72, -0.275], [50.72, -0.225], [50.561, -0.225], [50.561, -0.275], [50.403, -0.275], [50.403, -0.225], [50.244, -0.225], [50.244, -0.275], [50.086, -0.275], [50.086, -0.225], [49.927, -0.225], [49.927, -0.275], [49.769, -0.275], [49.769, -0.225], [49.61, -0.225], [49.61, -0.275], [49.452, -0.275], [49.452, -0.225], [49.293, -0.225], [49.293, -0.275], [49.135, -0.275], [49.135, -0.225], [48.976, -0.225], [48.976, -0.275], [48.818, -0.275], [48.818, -0.225], [48.659, -0.225], [48.659, -0.275], [48.501, -0.275], [48.501, -0.225], [48.342, -0.225], [48.342, -0.275], [48.184, -0.275], [48.184, -0.225], [48.025, -0.225], [48.025, -0.275], [47.867000000000004, -0.275], [47.867000000000004, -0.225], [47.708, -0.225], [47.708, -0.275], [47.550000000000004, -0.275], [47.550000000000004, -0.225], [47.391, -0.225], [47.391, -0.275], [47.233000000000004, -0.275], [47.233000000000004, -0.225], [47.074, -0.225], [47.074, -0.275], [46.916000000000004, -0.275], [46.916000000000004, -0.225], [46.757, -0.225], [46.757, -0.275], [46.599000000000004, -0.275], [46.599000000000004, -0.225], [46.44, -0.225], [46.44, -0.275], [46.282000000000004, -0.275], [46.282000000000004, -0.225], [46.123, -0.225], [46.123, -0.275], [45.965, -0.275], [45.965, -0.225], [45.806000000000004, -0.225], [45.806000000000004, -0.275], [45.648, -0.275], [45.648, -0.225], [45.489000000000004, -0.225], [45.489000000000004, -0.275], [45.331, -0.275], [45.331, -0.225], [45.172000000000004, -0.225], [45.172000000000004, -0.275], [45.014, -0.275], [45.014, -0.225], [44.855000000000004, -0.225], [44.855000000000004, -0.275], [44.697, -0.275], [44.697, -0.225], [44.538000000000004, -0.225], [44.538000000000004, -0.275], [44.38, -0.275], [44.38, -0.225], [44.221000000000004, -0.225], [44.221000000000004, -0.275], [44.063, -0.275], [44.063, -0.225], [43.904, -0.225], [43.904, -0.275], [43.746, -0.275], [43.746, -0.225], [43.587, -0.225], [43.587, -0.275], [43.429, -0.275], [43.429, -0.225], [43.27, -0.225], [43.27, -0.275], [43.112, -0.275], [43.112, -0.225], [42.953, -0.225], [42.953, -0.275], [42.795, -0.275], [42.795, -0.225], [42.636, -0.225], [42.636, -0.275], [42.478, -0.275], [42.478, -0.225], [42.319, -0.225], [42.319, -0.275], [42.161, -0.275], [42.161, -0.225], [42.002, -0.225], [42.002, -0.275], [41.844, -0.275], [41.844, -0.225], [41.685, -0.225], [41.685, -0.275], [41.527, -0.275], [41.527, -0.225], [41.368, -0.225], [41.368, -0.275], [41.21, -0.275], [41.21, -0.225], [41.051, -0.225], [41.051, -0.275], [40.893, -0.275], [40.893, -0.225], [40.734, -0.225], [40.734, -0.275], [40.576, -0.275], [40.576, -0.225], [40.417, -0.225], [40.417, -0.275], [40.259, -0.275], [40.259, -0.225], [40.1, -0.225], [40.1, -0.275], [39.942, -0.275], [39.942, -0.225], [39.783, -0.225], [39.783, -0.275], [39.625, -0.275], [39.625, -0.225], [39.466, -0.225], [39.466, -0.275], [39.308, -0.275], [39.308, -0.225], [39.149, -0.225], [39.149, -0.275], [38.991, -0.275], [38.991, -0.225], [38.832, -0.225], [38.832, -0.275], [38.674, -0.275], [38.674, -0.225], [38.515, -0.225], [38.515, -0.275], [38.357, -0.275], [38.357, -0.225], [38.198, -0.225], [38.198, -0.275], [38.04, -0.275], [38.04, -0.225], [37.881, -0.225], [37.881, -0.275], [37.723, -0.275], [37.723, -0.225], [37.564, -0.225], [37.564, -0.275], [37.406, -0.275], [37.406, -0.225], [37.247, -0.225], [37.247, -0.275], [37.089, -0.275], [37.089, -0.225], [36.93, -0.225], [36.93, -0.275], [36.772, -0.275], [36.772, -0.225], [36.613, -0.225], [36.613, -0.275], [36.455, -0.275], [36.455, -0.225], [36.296, -0.225], [36.296, -0.275], [36.138, -0.275], [36.138, -0.225], [35.979, -0.225], [35.979, -0.275], [35.821, -0.275], [35.821, -0.225], [35.662, -0.225], [35.662, -0.275], [35.504, -0.275], [35.504, -0.225], [35.345, -0.225], [35.345, -0.275], [35.187, -0.275], [35.187, -0.225], [35.028, -0.225], [35.028, -0.275], [34.87, -0.275], [34.87, -0.225], [34.711, -0.225], [34.711, -0.275], [34.553, -0.275], [34.553, -0.225], [34.394, -0.225], [34.394, -0.275], [34.236000000000004, -0.275], [34.236000000000004, -0.225], [34.077, -0.225], [34.077, -0.275], [33.919000000000004, -0.275], [33.919000000000004, -0.225], [33.76, -0.225], [33.76, -0.275], [33.602000000000004, -0.275], [33.602000000000004, -0.225], [33.443, -0.225], [33.443, -0.275], [33.285000000000004, -0.275], [33.285000000000004, -0.225], [33.126, -0.225], [33.126, -0.275], [32.968, -0.275], [32.968, -0.225], [32.809, -0.225], [32.809, -0.275], [32.651, -0.275], [32.651, -0.225], [32.492, -0.225], [32.492, -0.275], [32.334, -0.275], [32.334, -0.225], [32.175, -0.225], [32.175, -0.275], [32.017, -0.275], [32.017, -0.225], [31.858, -0.225], [31.858, -0.275], [31.7, -0.275], [31.7, -0.225], [31.541, -0.225], [31.541, -0.275], [31.383, -0.275], [31.383, -0.225], [31.224, -0.225], [31.224, -0.275], [31.066, -0.275], [31.066, -0.225], [30.907, -0.225], [30.907, -0.275], [30.749000000000002, -0.275], [30.749000000000002, -0.225], [30.59, -0.225], [30.59, -0.275], [30.432000000000002, -0.275], [30.432000000000002, -0.225], [30.273, -0.225], [30.273, -0.275], [30.115000000000002, -0.275], [30.115000000000002, -0.225], [29.956, -0.225], [29.956, -0.275], [29.798000000000002, -0.275], [29.798000000000002, -0.225], [29.639, -0.225], [29.639, -0.275], [29.481, -0.275], [29.481, -0.225], [29.322, -0.225], [29.322, -0.275], [29.164, -0.275], [29.164, -0.225], [29.005, -0.225], [29.005, -0.275], [28.847, -0.275], [28.847, -0.225], [28.688, -0.225], [28.688, -0.275], [28.53, -0.275], [28.53, -0.225], [28.371000000000002, -0.225], [28.371000000000002, -0.275], [28.213, -0.275], [28.213, -0.225], [28.054000000000002, -0.225], [28.054000000000002, -0.275], [27.896, -0.275], [27.896, -0.225], [27.737000000000002, -0.225], [27.737000000000002, -0.275], [27.579, -0.275], [27.579, -0.225], [27.42, -0.225], [27.42, -0.275], [27.262, -0.275], [27.262, -0.225], [27.103, -0.225], [27.103, -0.275], [26.945, -0.275], [26.945, -0.225], [26.786, -0.225], [26.786, -0.275], [26.628, -0.275], [26.628, -0.225], [26.469, -0.225], [26.469, -0.275], [26.311, -0.275], [26.311, -0.225], [26.152, -0.225], [26.152, -0.275], [25.994, -0.275], [25.994, -0.225], [25.835, -0.225], [25.835, -0.275], [25.677, -0.275], [25.677, -0.225], [25.518, -0.225], [25.518, -0.275], [25.36, -0.275], [25.36, -0.225], [25.201, -0.225], [25.201, -0.275], [25.043, -0.275], [25.043, -0.225], [24.884, -0.225], [24.884, -0.275], [24.726, -0.275], [24.726, -0.225], [24.567, -0.225], [24.567, -0.275], [24.409, -0.275], [24.409, -0.225], [24.25, -0.225], [24.25, -0.275], [24.092, -0.275], [24.092, -0.225], [23.933, -0.225], [23.933, -0.275], [23.775000000000002, -0.275], [23.775000000000002, -0.225], [23.616, -0.225], [23.616, -0.275], [23.458000000000002, -0.275], [23.458000000000002, -0.225], [23.299, -0.225], [23.299, -0.275], [23.141000000000002, -0.275], [23.141000000000002, -0.225], [22.982, -0.225], [22.982, -0.275], [22.824, -0.275], [22.824, -0.225], [22.665, -0.225], [22.665, -0.275], [22.507, -0.275], [22.507, -0.225], [22.348, -0.225], [22.348, -0.275], [22.19, -0.275], [22.19, -0.225], [22.031, -0.225], [22.031, -0.275], [21.873, -0.275], [21.873, -0.225], [21.714000000000002, -0.225], [21.714000000000002, -0.275], [21.556, -0.275], [21.556, -0.225], [21.397000000000002, -0.225], [21.397000000000002, -0.275], [21.239, -0.275], [21.239, -0.225], [21.080000000000002, -0.225], [21.080000000000002, -0.275], [20.922, -0.275], [20.922, -0.225], [20.763, -0.225], [20.763, -0.275], [20.605, -0.275], [20.605, -0.225], [20.446, -0.225], [20.446, -0.275], [20.288, -0.275], [20.288, -0.225], [20.129, -0.225], [20.129, -0.275], [19.971, -0.275], [19.971, -0.225], [19.812, -0.225], [19.812, -0.275], [19.654, -0.275], [19.654, -0.225], [19.495, -0.225], [19.495, -0.275], [19.337, -0.275], [19.337, -0.225], [19.178, -0.225], [19.178, -0.275], [19.02, -0.275], [19.02, -0.225], [18.861, -0.225], [18.861, -0.275], [18.703, -0.275], [18.703, -0.225], [18.544, -0.225], [18.544, -0.275], [18.386, -0.275], [18.386, -0.225], [18.227, -0.225], [18.227, -0.275], [18.069, -0.275], [18.069, -0.225], [17.91, -0.225], [17.91, -0.275], [17.752, -0.275], [17.752, -0.225], [17.593, -0.225], [17.593, -0.275], [17.435, -0.275], [17.435, -0.225], [17.276, -0.225], [17.276, -0.275], [17.118000000000002, -0.275], [17.118000000000002, -0.225], [16.959, -0.225], [16.959, -0.275], [16.801000000000002, -0.275], [16.801000000000002, -0.225], [16.642, -0.225], [16.642, -0.275], [16.484, -0.275], [16.484, -0.225], [16.325, -0.225], [16.325, -0.275], [16.167, -0.275], [16.167, -0.225], [16.008, -0.225], [16.008, -0.275], [15.85, -0.275], [15.85, -0.225], [15.691, -0.225], [15.691, -0.275], [15.533, -0.275], [15.533, -0.225], [15.374, -0.225], [15.374, -0.275], [15.216000000000001, -0.275], [15.216000000000001, -0.225], [15.057, -0.225], [15.057, -0.275], [14.899000000000001, -0.275], [14.899000000000001, -0.225], [14.74, -0.225], [14.74, -0.275], [14.582, -0.275], [14.582, -0.225], [14.423, -0.225], [14.423, -0.275], [14.265, -0.275], [14.265, -0.225], [14.106, -0.225], [14.106, -0.275], [13.948, -0.275], [13.948, -0.225], [13.789, -0.225], [13.789, -0.275], [13.631, -0.275], [13.631, -0.225], [13.472, -0.225], [13.472, -0.275], [13.314, -0.275], [13.314, -0.225], [13.155000000000001, -0.225], [13.155000000000001, -0.275], [12.997, -0.275], [12.997, -0.225], [12.838000000000001, -0.225], [12.838000000000001, -0.275], [12.68, -0.275], [12.68, -0.225], [12.521, -0.225], [12.521, -0.275], [12.363, -0.275], [12.363, -0.225], [12.204, -0.225], [12.204, -0.275], [12.046, -0.275], [12.046, -0.225], [11.887, -0.225], [11.887, -0.275], [11.729000000000001, -0.275], [11.729000000000001, -0.225], [11.57, -0.225], [11.57, -0.275], [11.412, -0.275], [11.412, -0.225], [11.253, -0.225], [11.253, -0.275], [11.095, -0.275], [11.095, -0.225], [10.936, -0.225], [10.936, -0.275], [10.778, -0.275], [10.778, -0.225], [10.619, -0.225], [10.619, -0.275], [10.461, -0.275], [10.461, -0.225], [10.302, -0.225], [10.302, -0.275], [10.144, -0.275], [10.144, -0.225], [9.985, -0.225], [9.985, -0.275], [9.827, -0.275], [9.827, -0.225], [9.668000000000001, -0.225], [9.668000000000001, -0.275], [9.51, -0.275], [9.51, -0.225], [9.351, -0.225], [9.351, -0.275], [9.193, -0.275], [9.193, -0.225], [9.034, -0.225], [9.034, -0.275], [8.876, -0.275], [8.876, -0.225], [8.717, -0.225], [8.717, -0.275], [8.559000000000001, -0.275], [8.559000000000001, -0.225], [8.4, -0.225], [8.4, -0.275], [8.242, -0.275], [8.242, -0.225], [8.083, -0.225], [8.083, -0.275], [7.925, -0.275], [7.925, -0.225], [7.766, -0.225], [7.766, -0.275], [7.6080000000000005, -0.275], [7.6080000000000005, -0.225], [7.449, -0.225], [7.449, -0.275], [7.291, -0.275], [7.291, -0.225], [7.132000000000001, -0.225], [7.132000000000001, -0.275], [6.974, -0.275], [6.974, -0.225], [6.815, -0.225], [6.815, -0.275], [6.657, -0.275], [6.657, -0.225], [6.498, -0.225], [6.498, -0.275], [6.34, -0.275], [6.34, -0.225], [6.181, -0.225], [6.181, -0.275], [6.023, -0.275], [6.023, -0.225], [5.864, -0.225], [5.864, -0.275], [5.706, -0.275], [5.706, -0.225], [5.547, -0.225], [5.547, -0.275], [5.389, -0.275], [5.389, -0.225], [5.23, -0.225], [5.23, -0.275], [5.072, -0.275], [5.072, -0.225], [4.913, -0.225], [4.913, -0.275], [4.755, -0.275], [4.755, -0.225], [4.596, -0.225], [4.596, -0.275], [4.438, -0.275], [4.438, -0.225], [4.279, -0.225], [4.279, -0.275], [4.121, -0.275], [4.121, -0.225], [3.962, -0.225], [3.962, -0.275], [3.8040000000000003, -0.275], [3.8040000000000003, -0.225], [3.645, -0.225], [3.645, -0.275], [3.487, -0.275], [3.487, -0.225], [3.3280000000000003, -0.225], [3.3280000000000003, -0.275], [3.17, -0.275], [3.17, -0.225], [3.011, -0.225], [3.011, -0.275], [2.853, -0.275], [2.853, -0.225], [2.694, -0.225], [2.694, -0.275], [2.536, -0.275], [2.536, -0.225], [2.3770000000000002, -0.225], [2.3770000000000002, -0.275], [2.219, -0.275], [2.219, -0.225], [2.06, -0.225], [2.06, -0.275], [1.9020000000000001, -0.275], [1.9020000000000001, -0.225], [1.743, -0.225], [1.743, -0.275], [1.585, -0.275], [1.585, -0.225], [1.426, -0.225], [1.426, -0.275], [1.268, -0.275], [1.268, -0.225], [1.109, -0.225], [1.109, -0.275], [0.9510000000000001, -0.275], [0.9510000000000001, -0.225], [0.792, -0.225], [0.792, -0.275], [0.634, -0.275], [0.634, -0.225], [0.47500000000000003, -0.225], [0.47500000000000003, -0.275], [0.317, -0.275], [0.317, -0.225], [0.158, -0.225], [0.158, -0.275]], &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;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 0.5 \\u00b5m&quot;, &quot;center&quot;: [95.10000000000001, 0.0, 0.11], &quot;direction&quot;: 0.0, &quot;width&quot;: 0.5, &quot;height&quot;: 0.22, &quot;color&quot;: &quot;#67001f&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 (95.1, 0, 0.11) \\u00b5m, normal 0\\u00b0&quot;, &quot;center&quot;: [95.10000000000001, 0.0, 0.11], &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..0.22 \\u00b5m&quot;, &quot;contour&quot;: [[95.10000000000001, 0.25], [97.10000000000001, 0.25], [97.10000000000001, -0.25], [95.10000000000001, -0.25]], &quot;z0&quot;: 0.0, &quot;z1&quot;: 0.22, &quot;color&quot;: &quot;#b2182b&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;domain&quot;: {&quot;center&quot;: [47.550000000000004, 0.0, 0.0], &quot;span&quot;: [97.10000000000001, 5.5, 2.0]}, &quot;frame&quot;: {&quot;center&quot;: [47.550000000000004, 0.0, 0.0], &quot;span&quot;: [97.10000000000001, 5.5, 2.0]}};\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_01323f1760&quot;);\n",
       "var info = findEl(&quot;gdsfdtd3d_01323f1760_info&quot;);\n",
       "var legendBox = findEl(&quot;gdsfdtd3d_01323f1760_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:460px;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=440)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c3576d1",
   "metadata": {},
   "source": [
    "## 2 · The spectrum\n",
    "\n",
    "The run executed on tidy3d (2 excitations, ~0.5 FC; artifacts in\n",
    "`recorded/`, see `PROVENANCE.md`). Transmission collapses inside the\n",
    "stopband while reflection rises to ~0 dB — a distributed mirror:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "37de76b7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:20.581192Z",
     "iopub.status.busy": "2026-07-21T07:26:20.581122Z",
     "iopub.status.idle": "2026-07-21T07:26:20.649860Z",
     "shell.execute_reply": "2026-07-21T07:26:20.649185Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "stopband center ≈ 1.5432 um; width (S21 < -10 dB) ≈ 3.6 nm\n"
     ]
    }
   ],
   "source": [
    "sm = SMatrix.from_npz(REC / \"bragg_tidy3d.npz\")\n",
    "p_in, p_out = sm.port_names[0], sm.port_names[1]\n",
    "wl = sm.wavelength_um\n",
    "s21 = 10 * np.log10(np.abs(sm.sel(p_out, p_in, 1, 1)) ** 2)\n",
    "s11 = 10 * np.log10(np.abs(sm.sel(p_in, p_in, 1, 1)) ** 2)\n",
    "\n",
    "order = np.argsort(wl)\n",
    "wl, s21, s11 = wl[order], s21[order], s11[order]\n",
    "i_min = int(np.argmin(s21))\n",
    "lam_bragg = wl[i_min]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 4.5))\n",
    "ax.plot(wl, s21, label=f\"S({p_out}←{p_in}) through\", color=\"tab:blue\")\n",
    "ax.plot(wl, s11, label=f\"S({p_in}←{p_in}) reflection\", color=\"tab:red\")\n",
    "ax.axvline(lam_bragg, color=\"0.5\", ls=\":\", lw=1)\n",
    "ax.annotate(f\"λ_B ≈ {lam_bragg:.4f} µm\\n(S21 = {s21[i_min]:.1f} dB)\",\n",
    "            xy=(lam_bragg, s21[i_min]), xytext=(lam_bragg + 0.012, s21[i_min] + 8),\n",
    "            arrowprops={\"arrowstyle\": \"->\", \"color\": \"0.4\"}, fontsize=9)\n",
    "ax.set_xlabel(\"wavelength [µm]\")\n",
    "ax.set_ylabel(\"|S|² [dB]\")\n",
    "ax.set_title(f\"{comp.name}: transmission and reflection\")\n",
    "ax.legend(loc=\"center right\", fontsize=\"small\")\n",
    "ax.grid(alpha=0.3)\n",
    "plt.show()\n",
    "\n",
    "in_band = float(wl[i_min])\n",
    "below = s21 < -10\n",
    "if below.any():\n",
    "    bw_nm = 1000 * (wl[below].max() - wl[below].min())\n",
    "    print(f\"stopband center ≈ {in_band:.4f} um; width (S21 < -10 dB) ≈ {bw_nm:.1f} nm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbdfec8e",
   "metadata": {},
   "source": [
    "## 3 · The same monitor, exactly on the Bragg wavelength\n",
    "\n",
    "The recorded field file carries the comb; the plot picks the recorded\n",
    "wavelength nearest the spectrum's own minimum — within the 0.2 nm resolution\n",
    "of the sweep, that is *the* Bragg wavelength — against the farthest\n",
    "out-of-band companion. In-band, the field decays *into* the grating — the\n",
    "input side carries a standing-wave ripple where the injected and reflected\n",
    "waves interfere, and almost nothing reaches the output. Out-of-band, the\n",
    "envelope runs flat through all 95 µm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "efdedc6b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:20.652572Z",
     "iopub.status.busy": "2026-07-21T07:26:20.652400Z",
     "iopub.status.idle": "2026-07-21T07:26:20.866278Z",
     "shell.execute_reply": "2026-07-21T07:26:20.865682Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fz = np.load(REC / \"bragg_field_z.npz\")\n",
    "wls = np.asarray(fz[\"wavelength_um\"])\n",
    "i_in = int(np.argmin(np.abs(wls - in_band)))\n",
    "i_out = int(np.argmax(np.abs(wls - in_band)))\n",
    "outlines = component_outlines(comp, axis=\"z\", buffer=2 * spec.buffer) + port_plane_outlines(\n",
    "    comp, spec, axis=\"z\"\n",
    ")\n",
    "\n",
    "fig, axs = plt.subplots(2, 1, figsize=(10, 5.5), sharex=True)\n",
    "for ax, idx, tag in (\n",
    "    (axs[0], i_in, \"IN the stopband — reflected\"),\n",
    "    (axs[1], i_out, \"outside the stopband — transmitted\"),\n",
    "):\n",
    "    plot_field(\n",
    "        fz[\"mag2\"][idx], x=fz[\"h\"], y=fz[\"v\"], scale=\"db\",\n",
    "        ax=ax, outline=outlines, colorbar=False,\n",
    "        title=f\"|E|² dB at {wls[idx]:.3f} µm — {tag}\",\n",
    "    )\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d468c562",
   "metadata": {},
   "source": [
    "## 4 · Sanity: energy has to go somewhere\n",
    "\n",
    "In a lossless reflector, in-band light that does not transmit must reflect.\n",
    "|S11|² + |S21|² stays near one across the band. The dips at the stopband\n",
    "edges are real radiation from the corrugation; the slight overshoot above\n",
    "one at the reflection peak is mesh-10 discretization error (the same\n",
    "few-percent passivity slack the beamz end-to-end test documents) — a finer\n",
    "mesh pulls it in at proportionally higher cost:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3cd1d574",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-21T07:26:20.867593Z",
     "iopub.status.busy": "2026-07-21T07:26:20.867488Z",
     "iopub.status.idle": "2026-07-21T07:26:20.908035Z",
     "shell.execute_reply": "2026-07-21T07:26:20.907725Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArMAAAErCAYAAADNOguoAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjExLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlcelbwAAAAlwSFlzAAAPYQAAD2EBqD+naQAAcetJREFUeJzt3Xd4U+XbwPFv0pHuQQcUOoBCGQVE9pS9UUAFVASU4esAVMCBGwRBVAQRRGU4AMWFArI3lVmgQEuZZXTRvUc6kveP/HIgdKUIlOD9uS4vyTnnOedJnia5c59nqPR6vR4hhBBCCCEskLqqKyCEEEIIIcStkmBWCCGEEEJYLAlmhRBCCCGExZJgVgghhBBCWCwJZoUQQgghhMWSYFYIIYQQQlgsCWaFEEIIIYTFkmBWCCGEEEJYrHsimI2PjyckJISMjAyzji8uLiYyMpLz589TVFR0h2snhBBCCCHuVVUazIaGhvL444/zwAMP0LlzZ44fP15hmVmzZlGrVi0ee+wxevfuTe3atdmwYcNdqK0QQgghhLjXVGkwGx4ezvDhwzl06JBZxxcXF5OXl8fp06c5ffo0ly5dYty4cQwfPpxr167d4doKIYQQQoh7jUqv1+uruhIxMTH4+fmxa9cuunbtWqmyCQkJ1KhRg7///pv+/fvfmQoKIYQQQoh7knVVV+DfOnLkCACBgYFlHqPVatFqtcpjnU5HamoqHh4eqFSqO15HIYQQQghROXq9nqysLGrWrIlaXXZnAosOZpOTk5k4cSLDhg2jQYMGZR43e/Zspk+ffhdrJoQQQgghbofo6Gh8fX3L3G+x3QwyMjLo0aMHNjY2bN26FWdn5zKPvTkzm5GRgb+/P1euXMHFxeXfVr9COp2O5ORkPD09y/1lIe5d0oaWTdrP8kkbWj5pQ8tWFe2XmZlJQEAA6enpuLq6lnmcRWZmMzMz6d27N1ZWVmzevLncQBZAo9Gg0WhKbHdzc7trwWxBQQFubm7yBrZQ0oaWTdrP8kkbWj5pQ8tWFe1nvE5FXULv+b+mCxcumEzZZQxkAbZu3VpupC6EEEIIIe5vVZqZTUxM5Ny5cyQlJQFw6tQprK2t8ff3x9/fH4A5c+Zw8OBBwsPDKSwspF+/fly6dInly5dz6tQp5Vz169enevXqVfI8hBBCCCFE1ajSYPbo0aPMmjULgI4dO7JmzRrWrFnDmDFjGDNmDGAIUgsKCgDIzc1FpVJRv359Zs+ebXKuN998k4EDB97dJyCEEEIIIapUlQaz/fr1o1+/fuUe88Ybbyj/dnV1JSQk5E5XSwghhBBCWIh7vs+sEEIIIYQQZZFgVgghhBBCWCwJZoUQQgghhMWSYFYIIYQQQlgsCWaFEEIIIYTFkmBWCCGEEEJYLAlmhRBCCCGExZJgVgjxn1SkK2L2odmsilx1x65RrCtmX8w+UvNT79g1hBDiv65KF00QQoh/68i1I4ReC2Vs07HYWtmaXW5/3H5Wn1mNlcqKgXUH4qpxva31yi3MZdLOSRy6doie/j35vNvnZpdNzE1k19VdFOuLGdpgKDZqm9taNyGEuJ9IMCuEsFh6vZ6XdrxEXlEeuUW5TGk1xeyyWy5vAaBYX8zemL08HPjwba3br+d+5dC1QwDsidlTqbJTdk8hLCkMAHtre4bUH3Jb6yaEEPcT6WYghLBYlzIvkVeUB8D3Ed+TlJtkVrmC4gJ2Xd2lPN4Vvauco29NZGqk8u9CXSEpeSlmlSvUFRKREqE8PpF04rbXTQgh7icSzAohLNY/sf8o/9ajZ/vV7WaVC0sMI6swC1u1rXKeQl3hba1bVHqUyeOzaWfNKnc186pJXU6nnL6t9RJCiPuNBLNCCIv1T5whmFWhAgyBoDlismMAaO3TGjsrO3KLcrmWfe221Uun13E58zIA9d3rA3A21bxg9nz6eQC87L0Mj9POoy3W3ra6CSHE/UaCWSGERdLr9RxPOA7A0KChAERnRZtV9lqOIXD1cfTBx8kHgLicuNtWt4ScBPKK8rBWWdPTvydgfmb2QtoFADr7dqaaXTWK9EVmB8JCCPFfJMGsEMIipeankluUiwoVXfy6AJUPZms41KCmU00A4rJvXzB7KeMSAP4u/gR7BANwLu2cWWXPpxkys/Xd6itlb+xDK4QQwpQEs0IIi2QMXKs7VqeOax0AYrJi0Ol1FZZVglnHGtRyrAVAbHZsheW0xdoSfWFLcynTEMzWca2Dr7MvYMjWmuNCuiEzW9+9PkHuQQBczrhsVlkhhPgvkmBWCGGRjP1e/Zz98HH0wVplTYGugMTcxArLXsu9Hsyam5kt0hUxfut4Bv01iKMJR8s91piZreNaB097TwAyCzIpKC4ot1yxrlgJqmu71L4jWWMhhLjfSDArhLBIMVmGYNbXyRdrtbXS97WirgZ6vd4kM2sMGCvKzC47tYzjiYY+uhuiNpR7rDELW9OpJi62LlirDVN6VzQ9V5o2jWJ9MSpUeNh74ON4+/vzCiHE/UaCWSHEPaFIV8Tu6N2k5aeZdbwSzP7vNr6fs5/J9rJkFmQqc9N6O3hfz36WEzDq9XpWn1mtPN4fux+9Xl/m8Qm5hmDW294blUqlZGeT85LLrZsx2HW3c8daba3ULT47vtxyRsl5yTzy5yNM3DHxtk81JoQQ9yoJZoUQVa6wuJDX977OxJ0TGbt1LMW64grLGDOwxiDW+P+KMrPGrKybxg17a3tqORn6zCbmJpYZAKbkp5Can6o8jsuJ42L6xTKvkZRnWLzB28EbAE8784JZ435j8GvMzGYVZpFZkFluWYCPDn3EpYxL7I7ZzdzDcys8Xggh7gcSzAohqtyas2vYdmUbYBjNvz5qfYVljH1mfZ0MmVnjvKwp+eXfyjdmTWs41gDAw84DjZUGnV6nBLo3Mw7K8nf2p1OtTgAcjD9Y6rFFuiIlw+rlYKiTkpnNLz+YNQbBxufiYOOAu8YdqDg7G5YYxrYr27BSWQHw89mfzR50JoQQlkyCWSFElTMGssYgbtmpZeUery3WKgO9jN0MqtlXAyA1L7XMcnA9mK3uUB0AlUql/LuswWPGuV/rudWjUbVGAMqiCDdLzktGjx5rlTXV7Ax18rD3UPaVx7jfeDxwfR7cCgaB7Y/bD0CvgF4082wGXF9UQggh7mcSzAohqlRqfiphSWEALOm1BDAEiuUNljJmHO2t7XHTuAGGDKvxfOUx9sm9MWA0Zk6NmdGbGTOz9dzrKd0ZylptLCnXcA5PB0/UKrXJ+SsaAGYMZo1BPUBNx4r79AIcSzwGQKvqrejka8ge74vZV24ZIYS4H0gwK4S4bZLzkjmZdFIJ6MyxN2YvOr2ORtUaEeQeRKBrIAAnk06WWebG7KpKZVjK1pgFraibgTGYNQbBcL07QFn1Ni4xW9+9Pv4u/gBczSo9mE3MM2R3ve29lW3mDgC7uc8sXM/MltfNoFBXqLxeLaq34KFaDwFwIP4AhcXmDQQrKC7g+4jvmbhzInui95hVRggh7gXWVV0BIcT94WrmVYauH0puUS6ONo789vBvSheA8hyIOwDAQ76GAOwB7we4mHGRE0kn6ObfrdQyxr6t1R2rK9vMzcxmaDOAm4LZ/2VCS8vM6vV6ZbBXfbf6uNi6ABCfE09hcSE2VjYmxxsDYmOADLcQzDpcD2bNycyeSz1HXlEezrbOBLoZfgy4a9xJ06YRkRJBc+/m5V4XYPbh2fx27jfA0CY/9PuBxh6NKywnhBBVTTKzQggTCTkJ/B31NyeSTphdRqfX8f7+98ktygUgpzCHGQdmlDt9lVF4cjgAD3o/CEBzr+YASteDUut4U79XuN5nNq8oj9zC3DLLpmnLzswm55YMNlPyU8gpzEGFCn9nfzztPbG3tken15UaYBr73RpnMoBbCGbtrgezxoC9vMUgjK9Vc6/mqFVq1Co1Tb2aAuYthRuVEcUf5/9QHmuLtbz7z7tmtR8YMsPzQucx6M9BrAhfIdOCCSHuKglmhbhPFeuKzQ5GjJJykxi5aSRv7nuTpzc+zeKwxWaV2x+3n9CEUOyt7fm659dorDQciD/AkWtHyi2Xoc1Qbtc38WwCwANeDwAQkRxR5hRdSmb2hmDWwdoBjZUGKD87m56fDpSemTV2EbiR8fa+l4MXNlY2qFSqcvvNlhbM3jgArLw2Ka2bgfE5GgP40hhXHGtQrYGyrYmH4fWMSK44mF12ahk6vY6ufl0JeSIEOys7zqWdK/cHxY2m7ZvGiogVRGVEMe/oPOaFzjOrnFFyXjLrL65nX8y+Sv/NCiFElQezp06dYsKECfTs2ZMTJ8zLBIWGhjJ27FgGDhzItGnTSEkpv4+cEJYqPjuec2nnzJp31ahYV8ySE0to/1N7uv7Sle8jvjernF6vZ+qeqcTnXO+bueTEEg7FH6qw7KZLmwAYFDiIDrU6MLDuQAA2XtpYbjljVtbf2R9XjSsAAS4B2KptyS/OL/PW+s3Ta4FhVgJjv9lyg1ltOmBYmMBIyZyWkpmNzTGsDGacjxauz2lbWr/Zm6fXguv9ebXFWmXBhpvlFuaSU5hjKHtDFwVjMJuUm1Tm38HljMuAYQlco2DPYADCU8JLLWNUWFzIrqu7AHgm+BlcNa70q9MPgF/P/lpuWYCjCUfZcnkL1iprRjUeBcDqM6vNyggDnE45zcC1A3kr5C1e3PEir+x6BW2x1qyyYBhUN//ofOYemUvotVCzy92oMtcTQtx7qjSYnTFjBk899RQeHh7s2LGDtLSKV/7Zv38/HTt2xNnZmZEjRyqPc3Jy7kKNxX+VXq8nPjdeCYTMVagr5I/zf/DeP+/xfcT3ZBdkm1WuSFfEx4c/pu8ffXls3WMMXDuQK5lXzCq74NgCFoUtIq8oj9T8VD4N/ZRfzv5SYbnjicc5lngMjZWGjUM28lj9x9CjrzA7qy3WsuPqDgD61+0PoARD265sK3cAkjGYNWZlAazUVgS4BgDXM443M85mcGNmFszrN2tsQ2PwDNezqKX1mTVOiWVcjQsMwTeUvkCDMTN7Y0DqYO2gLGlr7LN7M2P3B42VBgdrB2W7p70nViorivXFZQ5uM75OdVzrKNuCPQzB7OWMy+X+3R2MP0hWYRae9p5KV4+hQUMB2Hpla7ldNgAWHl8IwJD6Q3it9Wv0q9MPnV7HouOLyi0HhsF4L+14iZzCHAJcArBR27AzeicLjy2ssCzA2dSzPLruUZaFL+PH0z8ydutYfj1XcQBudCj+EMPWD6PVylY8uu5R9sbsNbssGKZs+/rE1yw4tqDcRTTKEpcdx5FrR8xe4U0IUboqDWaff/55Tp06xfjx480u89ZbbzFgwADmz5/P8OHD2bBhA7GxsSxduvQO1lSUJ0ObYfYSpEZ6vV6Z5D0qI6pS5Y4lHGNx2GJWhK+o1JfAkWtHmLBjAo+ve5w3971Z4UpRRufTzjN6y2hG7RtFl1+68ML2Fyrs+wiGfqPPbH6G9/e/z9oLa/k09FNGbhppVp2/OP4FKyNXotPrsLe2JyY7hjFbxlR43bDEML6L+A6Ad9u9y/81+z8APj78cYXXXRm5EoCBdQfi5+LHS81fwlplzbHEY5xOOV1muZCYEHIKc6jhWEPpItCqeiu87L3ILMjkQPyBMssag9mmnk1NttdxMQRlZQazpWRm4Xq/2bKmwCrUFZJdaAjsjIsRwPXMbGZBZoksnRLMOl4PZpUlcEuZ+9UYzN4YaKtUKuV6xqD1ZsbuD+527soMDWAI7o31K63fbHZBttI9orZrbWW7h70HPo4+6NETmRpZ6jUB5YdID/8eylRiTTyb4Ofsh7ZYS0hsSJllL6Rd4GjCUaxV1jzX7DkAJjSfAEBIbEiZ05cZ/XD6B5LzkqnrWpefB/zM510/V7ZX1Gc7tzCXqXumkpqfSn33+vQK6IVOr+PDAx9yLOFYuWWN9Xth+wvKa3M+7TyTdk5i86XNFZYFWB25mqEbhvJl2JcsPbWUwX8NZnn4crPK5hXl8d4/79Hvj36M2TKGvn/0ZfqB6eQX5ZtVPj0/ndmHZtN1TVe6rOnC63teN/vzDAw/cGYfms2IjSOYsntKpYP46Mxovo/4nk+PfMpfF/6q8AdPietnXuaP83/wy9lfOJd2rlJlwfAj6Mi1I0QkR1BQXFDp8nlFeVxIu1Dp7y0jvV5PVkGWdIm5h1TpbAbe3t4VH3SDvLw89u3bx4oVK5Rtzs7O9OjRg61bt/Lyyy/f7ir+a0W6ImYcmEEb1zb09eqLuoLfD1kFWWyI2sDxxOMU6Yp4wOsBBgUOws3OrdxyBcUF/HruV3ZF7yK7IJu6rnV5POhxWlRvUW65Yl0xf1z4g9/O/cb5tPN4O3jTv05/nmnyjDJquyy7ru5iYdhCzqcZpi1qVK0Rk1tNpp1Pu3LLnU09y3v73zMJkDrW6sjMjjNN+greLL8onzf3val8+YIh6Jv44ESeDX7WJAC42W/nfmP6genX65B2lh1XdjC/23w61upYZrnTKacZv3U8mQWZqFVqdHodIbEhPL3xaX4a8JPJreobFeuKeWXXK5xMOomzrTOP1X+Mv6P+5kL6BV7e9TI/9v9R6d95s5DYEFaEG/7GP+r0Ee1rtmfMljFcyrjE7EOz+azrZ6WW0+l1zDo0Cz16BgUOYliDYej1eo4mHCU0IZQvw75kVqdZpZaNy45TXtcRjUYAhsxi79q92XhpI6sjVzOz08xSy266bOhi0Ld2XyUYslJb0c2vG7+c+4WQ2BBlpoIb6fV6TiWfAkwzs3A9w1haMFtQXKBkXm/OzFbUzcCYFVWhwtnWWdnuYuuCrdqWAl0BSblJJrMwlJaZNS4ze/OKYflF+cqyszdmZsGQCU7KSyozu28Mcm8Mso2qO1QnITeBhJyEEq+VMWPvYedR4j3bxLMJ8TnxhCeH07pG6xLn1ev1SiDT3a+7sl2lUtHTvycrIlaw/ep2etfuXWqdN0RtAKCTbyflh4W/i2GVtJDYENacXcNrrV8rtWyGNoOfzvwEwMstXsbJ1okufl14JPAR1l1cx/yj81neZ3mZ7+uFxxdyOfMy3g7erOizAhdbF9755x3WXVzH2yFv88egP7C3ti+1bGJuIm/sfYNCXSE9/XsyueVklpxcwrqL63jnn3cIdAukvnv9UsuC4Y7D7MOzAWjv0x6NtYbd0bv5/OjnWKmsGB08usyyuYW5vLjjRY4mHAUMK9jFZMfw27nfuJxxmUU9FuFg41Bm+aj0KF7c8SKx2bHKtk2XN7EnZg8Lui+o8PN37fm1zDo0S/nRdpKTbL2ylYF1BzKjw4wSs3PcSKfXseTEEr499S1FuiJl+4JjC/igwwelvs9vlF2Qzafhn7I1dit6rgeC3f268277d8v9/AdD3+rPQj9j46WN6PQ6wPB+Gdd0HCMajcBKbVVu+auZV/ny+JdsvbKVYr2hy04zr2a89MBLdKjVodyyYHjtl55aavieLczG0caRHv49GNNkjDKLSLnlM6L4PuJ79sftJyUvBR9HH3oG9GRU41Em816XJTozmtVnVnMw/iAZ2gxqONagh38Pnmj4BI42jhWWT8lL4bdzv3Eg/gAZ2gy8HbzpXKszg+sNxsnWqcLy2QXZrLy4kufdn8dJU/Hxd5NFTc0VHR2NTqfD19d0uh9fX1927dpVZjmtVotWez3bkplp+LJJSkoiP//6L2GNRoOzszNFRUWkp6eXOI+np+GNlp6eTlFRkck+Jycn7OzsyMvLM+nyEJoQys5zO1mrXsvyC8uZ1GBSieluqlWrBir4/dTvrApfpWSOAEIuh7DkxBImNJlAj+rXMycAVlZWuLu7cyr5FJ/u+dTkwy0xKZGNFzcyJGgIzzd4HlWx6ReCvb092WQzbc80riYZsiduuFGQWcAfJ/5g3cV1zO08F39rf3Q6nUlZR2dHvjz5JWsj1+Kgd8CL/40ET05m8pbJDGs6jOebPE9mRsm15E/nn+aNfW+gKdDga+VLLadaXM68zLnoc4z4awQLey+kpm1NcnNNf+kXqAp4O/RtwhLC8FH50LZGW9K0aZxOOc3KIyuJz4rnzTZvkpmZSWGh6W3tPYl7mHF0Bhq9hoE1B9LGpw0bL23kdMpp3tvxHrN7zaZV9VYkJ5tmPVPzU5l0YBKZBZm0dm3Nc3Wfw9rBmk+PfkpiZiLTdkzjiz5foCvSKX9TRr9d+I2D8Qext7ZnXut51HWpSz+vfrwV8hbJycnMOzSPN9q9QU5ODnl51/tQaou1fPaPIVh9sv6TtHVuiy5Lx9vBb/P2P29z7NIx9gTuoXOtzqSlpVFcfL0P5T+x/xCVEoWTrRMvNn6RxERDtu65us9xJf4Key7sISo4Cj8nvxJden6O/BmdTkc7n3Z44qmUHeg9kCMXj7Dn8h6yW2ejLlaTnX397zO/KJ+wK2EA9PHvo5QDaOHYgl26XRyIPYBOZ3iNCgquZ1GS85LJy8vDWm1NbfvaJmVrUhN3nTuXMi6h0+lISUlRsiAJOQl46bzIsc7B2caZzMxM5X3sUeyBl86L1IxUdDodhYWFZGRkoNPpSEtLIycrBw+dB8X2xahQkZKSoryG9W3rk5ibSHx6PDUdDX+Dubm5ZKdl46Xzwq3QjYyMDJydnfHWeOOl80KbqTWpd77GUI/qqurkpeWRr7r++eJp7ckFLpCckUyitWmG1cbGhtS8VFR6FT56H5NzwvU5a2OTY0m0N913LtmQ2arnXK9EuUb2jdjGNsKTw0vsA0hVpZKUl4SHygN/tb/JMZ08O7GCFeyP3k9sfKxJkKNWq3Fzd+PvqL/x0HnQy6OXSdlhgcMIiQ1hy7ktDK81HDtrO2Wf8XN2VfgqHLQONHRuSGNNY6X8Sw+8xKZLm7gYf5GdkTuVrL1Op0Or1aLT6TiXeI7tp7fjpffijcZvoM3QkmGbwRut3iA0PhRtppalB5YyvMFw5brVqlVDrVaTnp7O3ANz0eRraOvaltcavYarlSvT208nPTudyPhIPtz+IbM6zUJjpcHa2ho3NzfA8BkXmx3L5yGf46Xzon/t/kzsMBEbGxuWHlnKz6d/5ocjP+Cn8qOJZxMcHBxwcHCgoKCAzMxMdHodC44t4Oq1q/ha+/JBjw9oXaM1u8/uZl7oPK7EX+Hdre8yteVUqrlXw8bGxuQzIjE3kff3v09GQQa+zr680fINrPKtWHVmFefSzvHe1vd4rdVr9GjUA6DEZ8S2K9uYFzGPAlUBnbw60cunF1HpUWy5soVDFw4xNWsqH/X8CFuVbYnPiILiAj4/8zlbr27FTefGAx4P4O/sz7HEYyTmJPLajtd4qdVLPFb7sRLd/mxsbMhSZzFp5yQy0zPxxJPGHo2xVlkTnhLO7qu7OZV8ilmtZhHoZBoUGl/DgzEH+TTkU9K16XjgQXXH6mQVZnFFe4VPQj/h0MVDTGw+UflBC+Dm5oa1tTVZWVlsubCFFREr0BZrqUY1VDYqEosTiUyM5J2t79DDvwcjG43EztoOlUqFh4eH8hoWFBawPmo9v53/jSJdEVqVFlSgL9Bz4PwBDl84TL86/Xis/mO4ObqViCO0xVr+uPAHGy5u4JrK8APYTedGXkYe60+uZ2fkTp5q+BSPNH4Eezv7EnFEflE+v0f9zg9RP1CsK8ZTb4hFruVcY1XiKjac2sCIFiMYXH8w2VnZJp+zANZ21vwc9TOrTq1CU3Q9iZKRmkFkTCSLTyzmuabP0duzt9Id6sbXEDX8Fv4bv5z+hUxtJhqdhuENhmNvb4+jo6Py930jtVptiG2A1NTUEnGEi4sLtra2Jb4DwTQWS0oyb85ylf4eyJPHxMTg5+fHrl276Nq1a5nHhYeH07RpU/bv30/79u2V7a+//jpr167l/PnzpZb74IMPmD59eont8+fPx97++i/3WrVq0bJlS7Kzs9m5c2eJ4x955BEA9u3bV+KN/uCDD+Ln58elS5c4deqUyb48+zxWqVZRVFTE8wXPlzhvk05N+PLCl/gn+lNXV9dk32mH0+wo3kG94nr0K+pnss/ZxZmLNS/y66VfeV77PFaY/ipdZbOKVHUqA/UDqVNQx2SfUy0nFmcsxknrxKOFj5rsy1Xlssx2GWqVmheLXkRVZBoIn/I4xe7s3bQvak+r4lYm+yLUEey02Ukv9140vNbQZJ9epWex7WJ06Hi2+Fmcikx/2W2y3kSCXQKveb9GUpTpH3CCbQK/qH7Bw8qDp3KfKvEaLrFdwoCAAbRIb1Hij3+P9R5OWp3kKben8Egw/fUbr4pns8NmPm/7OSd3lpyk/wfbH3B3dmec7TgS4k1Hkx+yOoRfoB+PVnuUgwcPmuzLIIMfND/wZtM3KTxZWOLD5VebX3m1zavYxtsSFWXazeKk+iSnnU8zr8k8Dv9z2GRfAQVsqraJbzp8w949e8nKyjLZv8F6A10adKGNrg2Rkaa3ls+rz6ML0DGh3gS2bdtW4rkusl3EjJYzKDpXVGJQ5Q7rHQx8YCBBRUElBmrGqGI47HaYpe2XsnFjyQFfy22Xs6TLEqLDo4mPN+3qsN9qP5nVMnmvznscPmz6XFNUKWx02siv3X5l48aNJX5A7nDewYJuCzh58iSXL1822ZfsnMyYbmNITU0lJMT0NnkeeWx238yKzivYvn17iR9OjkGO9GjYgzNnznDunOktUONnRFJ6Egf2luw+UadzHSYfnsxTRU/hUWz6t3bF4wrrstfxkudLqGNN79B4eXkR7xPP0jNLS/2MiKsTx+9xv/Oc9XNockwz+jneOSzPWM4wt2FUTzDNVNs42jCvaB417GswPHN4iS+UogZFfHX5K4ZZDaN6rmnZwHqBzEicgX2efYnPCDs7O6q3qs7UI1MZUzAGR71pVqhd+3ZMjZxK7azaJT4j/P39qd+kPhN2TWBI3hCTfWq1moEDB7I4cjG2F2zx1pvevWvYsCH16tVjScgSfNNNkxrVq1enbdu27IvZR9qxkreP+/Xrh42NDet3r0efafq117RpU+rUqcPZS2c5e+qsyT53d3c6d+4MwLp160qct3v37jg5OXH06FFiY2NN9gUFBdGwYUMSExNLfEZY21nTv7ehj/nmzZtLfEZ07NgRDw8PwsPDS3xGXNJc4pluz6DP1bN3r2kXgQIKCOwYyIMeD7Jr165SPyNa1G1Bd3V3zpw5Y7LvvPo80V7RvN3obQ7sLvn3vch2EWq1mhetX0Sfbfoa7rDewWmr0zzh8gReSaZ3JTQuGr7RfUN2QTYvFbxU4rxb3bZyNu8s/Qv7E6gzDWYbNmzIMetj7DqziwFFA0z2OTk5kVs/l6/Pfs3o3NHYYmuy/6GHHsLK0Ypf9/2KZ7Zp1rdu3brUql+L3yJ+o3qM6d++ra0tffv2BWDzts0U5Jm2jU8TH5r4NyE0PJS0q6Z/azbVbOjbsS85OTmlxhFHfI8wJGAIaeFp5GSYBv0RLhEMbTEUqxSrEnHEFdUV1tmuo617W9pca1PivN/afkttt9oMKhpEbqrpZ9pJu5Ps0e8pNY5It0rnR+sfAXhR+2KJOMKtmRs/xPxAYHogwbpgk3316tWjcePGJCcns3//fpN9dnZ29O5tuKOzdetWk8QhQIcOHfD09OT06dNcuHDBZJ+/vz/NmzcnMzOTTZs28corr5CRkYGLS9l3iy0qM+vubrj9lppqegsxJSVF2VeaadOmMXnyZOVxZmYmfn5+DBw4EGfn67cajb8GqlWrxuDBg0ucx5iZ7dGjR5mZWWdnZwIDTd+MVlZW9M3py8/RP7Pm3Br06LG1sqWJRxMKiwv5+sjXFFDANdtrBAUF0a92P+V2yZMOT9L6amsWH13Mz6qfsVZb06p6KxxtHPk78W+iLhk+5OIC4ngm+BmTW6fB+cG8f+h99uTs4bDtYdr7tKeua13OpJ5hb+JeclQ5+FbzpX2z9iaTz2t1WmLPxrL58mZ+Uv3EAz4P0N2vOyn5KayPWs+VrCvY29gzuM1gWnmYflF5JniyN2wvO1N3kuSexNONnqaaXTX+jvqbPbF70KFjSL0hjAgagUp/PUjOLsgm5HgIF1IvsODaAia1nkSHmh24kH6BL8O+JDovGg87DxZ1W6Rkgo12Re+i6FQRf179E4cAB0a3G42V2ortV7ezPGI5mWQyLGgYLz/wsklWUVus5cPDH5Kdns27x9/li75f4GHnQbGumC/DvuRA/AHUtmq+7PklLjoXrl27hru7O2q1mkPxhwg/Hs7hK4cJ9g5W/l4ytBm8FfIWifmJPFz3YZ5s/iQpfikmfauWhS8j5WoK807P44fuP9CsWTMAYrNjeX3f62Trs5nRdgaNazamptf1W9s5hTm8vPtlruZcZXf6bvr27qtkXbZd2cay8GVY2Vvxf63+DwqhQYPr0zRdSL/A9/u/Jzc+l5dbvWzy973lyhZWhK/A19mXAY0HkOWbZZLd/v3870Sdj2JP8h4e6/wYdepc/2H0SegnHEw4yLDAYfj4+JR437y3/z3y0vM4X3CeXp17mXxhr4pcReSlSAbUGECDBg2oWfP6c80vyufpLU+TXpCOrastDz/8sPIa7onZw1cnvqKeWz28vb1p164dzZs3BwyriS0+sZiGrg3x9vbG3d0dT09PJTN7Xnueecfn4efoh7e3N/369VNew/nH5nMw/iCj3Ufj7e2Nk5MTvoG+PLfd0Bf0h74/4OzgrHxGTDsyjdyiXD7r8pky00FotmE0/RWvK4xtN9bktVhyZglkQ7FXMY+2Ng0ObWxs+DHqR4ooIq1eGs82edZk/4b4DRAH17yv8fIDpt2pPjnxCWSAX4Af/dv3N9mn1WmZt2Ue1/Ku0bVv1xLdEKaHGX7k12xYk4f9HzbZZ29vT6/wXvxx9g8S6yYqfWLBEHR+cfYLALLrZjOi6QiTsi4uLjyleooloUsocCvg404fK90FNBoNv1z5hfjiePa67eWThz4xuT3s6enJROeJPBX9FMXFxUxtNZVW1VspmdlofTSbczfjbOvM3M5zlZklbG1tcXFxYbDHYF6/9jonkk7Q3Ks5b7R+wzDTRbVqJOUl8VvRbxTaFPJkwycZFDgIAEdHR+zt7XFxcaHYtVjprvPygy/T2b8zbm5u6PV6Lvld4tC1Q1Szq8bsTrNx1bgq2b9OnTqRmZvJe/vf40rmFeq61mXwA4PxdPXEzc2Ni8UXWRhmGNj2f83+j561eyrfWwMGDECv1xOaEMpnoZ+hR09eTh4TGk6gbdu21AqqxUeHPiI2OxYvey9md5tNba/aFBUVKdmvIl0Rnx/7nNCEULKPZ/Nx54/p3bs3BYUF/HnxT2VgXL8G/ZjcdjJ5eXk0bHg94XA29Sy/Hf2N+PR43o14lze6vkGgWyAXMy6y6Pgi4nLicLBxYF7XeTR0aGjyGaHX67GOsybyZCR/ZvxJq+qteKrBU1Szq8bumN2svrCaTFUmjas1pmlAU+pUr4Naff0H3TCnYcw4NIOQKyEc0R+hdfXW9AzoSaGukB+v/MjBlIPYqm2Jqx3HmCZjlEy/8e5k9/rd+XDnh1zJMHS5aV29NQ96P8iO7B38euJXtAVanGydGBo0lIfrPoyV2krJKr5e43X+ufgPi08sJjU/FRUqWtVoRWFiIRfSL3BEdwRsDIM4RweP5qFaD+Hq6oqtrS1ebl7k5uZyPPE4353+joScBLTZWnYc30FDt4bEeMcofYKr2VXj2eBnGddkHADpPoY7vMW6YjZf3swv534hKT+JnQd20rpaawJqB3Ax4yIx2TEAuDu4s6DdAh6q9ZBJDFRUXMTmK5uxvmjNmYwzxOnjqOteFy97L65mXSU1P5VsXTZeDl6MfWAsrd1am3TdUalVBKYG8mXYl/yi+wUVhllhqjtUJz4nnqgzURSriim0L+TBwAdp6dISr2peqNVq5TV0c3Mr0W30xsxs//79y8zMOjo60qSJadepG2OxgQMH8sorr1ARiwpma9WqhZeXF8eOHWPAgOu/0I4dO0br1iX7gxlpNBo0mpL9E728vEqN9G1tbcvtz2tsoNI4Ojri6GiapTDe7ny3/btENojko0MfcTL5JLHJ13/Fd67VmbfbvW0y/Y/RiMYj6OTbiQ8PfMiha4dYn7Be2VfDsQZvtnmTHv49SpTzxps/avzBnENzWB+1nr+u/QX/6+KnVqt5ssGTTGk1pdS+m3Orz6WNTxvmHJrDztSd7Ey9/guznns9Pn7oY4Lcg0qUe9T7Ufy9/JmyZwphuWGEHQ27vlMNr7Z8tdT+rd5481X1r5i0cxKHrx3m/ZPvo4nQKP26ajnX4pte3yhLid5ouPdwrJ2t+eDAB6y+spo9KXtwtnXmTOoZUMHjQY/zdru3UavUODiY9kWb22cuIzeN5HLmZV46+BKjg0ezN2YvhxMOY2VlxZJuSwhwDVC+SL29vVGr1Tzs/TBX9VdZcmIJH4V+hK6NjqZeTXn3+LucKzhHgFuA4ZpqNV5epsH3y51fZt/6fURnRTM/fD5zHppDflE+Mw/O5BrX6OLXhZ4BPVGpVCX+Dp9q+RSzDs3iy7Av6TmoJ9Udq5OSl8I3Ud+Qqk7lreZvGfoyaQw/sJTX19ubxpcbczD+ID+c/YF32r0DGPrA/fLPLySpk5jWeBrWVtYlfhg+4vAIiy8s5vC1w2TqM6nhbegbmaHNYHvKdorURfSv2x8rK6sS9X2gzgP8E/YPB+IPMLTBUJN9J4+dJFeVS1PPptjb25vcJQHQOGsgxzD91Y0rWCXHJ5OkTqKza2fUajUuLi7K+9i7wJskdRKexZ6o1Wo0Gg3e3t7KB2l+ej4p6hSaapqiVquVW4kA1TyqkZSQRFJBEmq1GicnJ7RaLUnqJLzsvfD1uZ4JtLW1xdbVlitpV8jV5CrPOznJ0FXFxdWlxGvhFuNmeN30GaV+vqQXpKNX6XGpVrKsT46hj25MUUyJfRdyDVmNQM/AUs9b26U2lzMvc011jXre9ZTthbpCjiQZ5gHuUKcD3h4ly/as3ZM159awNXkr0zynKUFnflE+264Ysvt9g/uWet0h9YewKGwRR7OPEkssLbwN/fdzC3P58fSPFKuKGd5yOD41fEqU9XL0YkDwAJaFL2PR+UX83uh3bNW2xF6L5ZPQT8hT5TEwaCAtA1uWKKtWq3m588sMWTeEbSnb6JbdjYcDH6ZYV8wHBz8grjiOZt7NeLbtsyVuqTo4ONC9cXfC88P59tS3zDk9Bz8fPx7gAeYcmcOGxA1YW1vzec/Pqe9l2qfW1dUVV1dXZvSewVN/P8WhrENMOTCFqa2nEpYYxuenPqdYXcyIRiMY3nK4SVnjZ0R/7/6kWacx5/AclkYu5VT6KYI9gll7fi1p2jS8Hb35pO8nyufgzd9VM/vMZNLOSeyP28/Lu1+muVdz0rXpXM68DGoY13Qckx6chEqlwsnJqcRnxJfVv+SFbS9wMfMizx14DmdbZ7IKDJnd6k7V+b7n96V+7gOMqT6GOh51eGPfG4SkhxBy6IY7IiroV7sfH7T/gMzUTOVz9Eafdf2M5eHL+eL4F2xM2sjGpOt3eTRWGqa1mcaj9R8ttQ91Xbe6fD3oaz4/+jkrI1eWKB/gGsCcznNK9DcHQ3zQvXF3WtVrxexDs9kQtYGNCRvhhhtxnfw68X7790sMODW+hn28+9C1UVdWhK9g6amlnEg6oQxgtLKyYliDYUx6cJJJv9Qb44hnazxLv6b9mHd0Hlsub+FI6hGOYHhvamw0PBP8DGObjlX6gN/8fhvjM4aBzQayKGwR6y6uIyw3DP6XnHXSOPF0w6cZ23Rsmf1qH/N8jL51+rI8fDkrT68kqSCJswWGOxTOGmeGBg1lTJMxONs4k5iYWKL97OzssLOzK/XccD0RWBpnZ2eTpOKNbG1tS3x/luWeD2bnzZtHZGQk3377LQCjR49m2bJl/N///R/e3t5s3LiRsLAwvvzyyyquqXmCPYNZ2X8lESkRnEw6aci01mhFXde65ZYLcAlgaZ+lhCWGceTaEfKK8mhQrQHd/bqX22HfxdaFjzp/xMjGI1kftZ6EnAQCXALoV6dfuQMcVCoVQ4OG0tK7JT+d+YmIlAgcbRzpFdCLQfUGlTl4CaBVjVb8NegvvjrxFduvbCevOI9gj2BebP6iMvVPaRxtHFnSawnLTi3ju4jvyCnMwUplxYC6A3i99esmUynd7LGgx3DTuDH9wHSl77C1yppJLSbxTPAzZQ4icbNzY0mvJby4/UWiMqL4NPRTAGzVtnza5dNyB1O8+MCLxGTFsCFqAzMPXR8c5WnvyeIei8v84HCwceCjTh8xevNoNl3eRLo2nXRtOufSzuFh58E77d4ps75Dg4ay/uJ6TiafZMqeKczrOo/3979Pan4q9dzq8Xj9x8us7/im4zkYf5C159cyvul4qjtWZ+vlrVzOvIyzjTOD6w0utVwtp1q0rtGaI9eOsP7iesY3M8w+svPqTop0RdR3r1/m4IcONTuwOGwxB+MPUqwrVoKhwuJCZSaDZl7NSi1bx6UO13KucSnjkkkwa5yVwTgI60bGhRDKGmSlLGVbyoBK492JGxcnMA7+8nEqeS0fRx/Op503mQu3tAUTStQtv/S6GetcWt2Mz/XGOYDBMNDQOGPAjdNy3aipZ1MuZ14mLDGMTrU6KdtPJp0kryiPanbVTBZbuFHL6i1x1biSpk3jYPxBZbDk9qvbyS7MxsfRh5bVSwaUYBjwNqDuAH4//zurz6xWBqOuObuGNG0avk6+yhRupRnXdBzrL67natZV5h+bz2stX2PF+RWcTTuLm8aNl5qXvF1tVNu1Ns81fY7FJxbz/v73ySrI4mjCUfbH7UdjpWFmp5klAtkbvdj8RY4lHuNowlGe3fIszrbOZGgzUKHi/fbvK7N2lMbP2Y+ven7FuK3jCEsK4+mNTyv7BtcbzGutSh8QZzSi0Qg0VhpmHZzFofhDyjzP9dzqsajHIpOBiDfTWGn4svuXzDs6j1WRq5RFL5xtnZnaaiqP1n+0zLIAQe5BrHl4DZ+GfsqmS5vIKshCrVIzoM4AJreaXOEArW7+3Vg7aC0Ljy9kb8xe8goN31PPNnmW3gG90ev1ZFJyLAUYvnPGNh3LQ74P8V3Ed9e/H6u3YkyTMaW+B29ka2XLG23e4PGgxw13k9KjcNG40KFmBwbUHYCNuuzvSTB8V87uPJtnmzzLlstbiMmKoYZjDbr7dy+3vY00Vhqef+B5BgUOYk/MHhJyE6juUJ3u/t1L/Ty4WQ3HGsx9aC6vtHiFQ/GHSMlPoYZjDR7yfajCwdhg+MyZ3mE6r7Z4laMJR8ksyKS6Y3VaeLcw6bNeFkcbRyY+OJHnmj1HWGIYqfmpeDt4E+wRrJS/Obt6L6nSYHbr1q3MnTtXGZw1ZcoU3N3dGTVqFKNGGSbfPn36tElfo+nTpxMREUH9+vUJDAwkMjKSuXPn0rFj2SPS7zUqlYomnk1K/ZVYkebezc1aZ/1mjTwa0cijUaXL1XWry9vt3q50OTc7N6a1nca0ttMqVc5GbcPzDzzP2KZjic6MpoZjjXJH9t6oR0AP2vq05VjiMbIKsmhfs73JYICy1HKqxU8DfmL1mdWEJ4dTw7EGwxsMLzM4MFKpVMzqNIuG1Rryw+kfSMlLoYtvF6a0mlJqBvlGzb2bM7vTbN7+521l6ipnG2fmd5tf4tf/jazUVnzY8UNGbhrJiaQT9PjVkJG3Udswp/Occn/YtK5huPV2PPE47/7zLp90+YRPjnwCwMjGI8t9nR+u+zBHrh3hzwt/8myTZ7FSWbHm7BrAkHEpS7BHsJLdiUiJUALX8JRw8ovzqWZXrcwfcnVc63Ag/kCJqduMwWNpX+rGmQAqmjHgxtW/jIwzI9w4Q4ExmK3lWPKOiRJg3jDlmXGKrJtnMoDrQWqZdcsvezYD4+wKCbkJFOoKlS/muJw4CnQF2KptSw3uAVpUb8H6qPXK6HmjA3GGv7u2NdqaDCy9kY3ahgF1BrD6zGp+PferEsz+fOZnAB6r/1iZZQGebPgkv5//na2Xt3Ks4TFqONbgqxNfAfBcs+fKDSidbJ14q+1bvLL7FVZFriIkNkSZueG99u9VOPr7/x74P86lnWP71e3KzAPWKms+6vRRhe9ta7U1X/X8ivf/eZ9NlzeRoc3AVePK223fLjcAN2ri2YRfB/7Kp6GfEpYUhpONE880eabC18vo8aDHaevTlj/O/0FWQRbBHsE8HPhwua+XkY2VDW+0eYNRjUdxMP4gTrZOtKnRptxkwI087T2Z03kO77R9h+isaPyc/cwa6W5Uy6kWczrPQa/XU6wvNqmzOUN06rvXL3PWFXMEugXyeuvXb7l8kHtQmdlnc/g4+fBEwyduuXxNp5oMqT+k4gPL4GbnRo+AkndqzaWx0tDWp+0tl68qVRrMNm3alDfffLPE9rp1r3+5TZkyhYyM65OMOzg4sHHjRs6dO0dCQgKNGjUqN4UtLJON2oa6buVnq0vjZOtU4fQwpXGwcWBc03GVLqdWqRkdPJrRwaPR6XVmfVEZ9a/bn7puddl5dScqVAxrMMys6VnqutXlm17fMHXPVGKyY6juUJ2ZnWaWmV0zUqlUfND+A4ZvGM6B+AN0+6UbhbpCfJ18S/TRvFnv2r357OhnXM26yl8X/sLH0YeIlAjsrOx4LOixMstZq61p59OObVe28U/sP0owa1zmtmX1lmVmocuanqu8zKyrneELO68oj/yi/BIZCSX7WUowa/wRUVpmtrTAubRsaVKuYfBhuZnZMoLZ8jKzHnYeaKwM3W6uZV/Dz8XQT9T42gS4BpQ5LZExc3oy6STaYq1yV+VgvCFJ0K5m+VM5DQ0ayuozq9kdvZtrOddIzkvmRNIJrNXW5bY9GJbXHVxvMH9e+JOpe6Zib21PXlEeLbxbMKjeoHLLguEH6jtt32HWoVlcybyCWqVmcovJ9AroVWFZtUrN3Ifm8tOZn9gQtYEajjUY2XhkqVOUlcbe2p65XeYypdUUYrNjaeLZBFsr24oL/o+fix8Lui8w+/gS5Z39eLnFrU836ePk86+CIidbp1tKgBipVCqsVff8zV9xn6jSvzQfHx98fMq/ddCoUelvpqCgIIKCbv3XkxC3W2UCWaOG1RrSsFrDig+8SbBnMBsf3UhKfgpuGjezMjZgCIRndJzB9APTySnMwdfJl0+7flrhbShHG0eea/ocn4R+wvxj85W+W48HPV5h9rtzrc5su7KNbVe38ULzFwCUZUfLCyxKC2Z1ep0SPJYWYDrbOCurZaVr06lhbZrlLm0pW6Obl421UluVG8wa+7ffOCWeMRC+cSlbo4qC2fIysyqVippONbmUcYnYnFglmDUuY2tcZKI0tV1q42HnQUp+CuHJ4bSs3pK0/DSlm0dF85LWc69HC+8WHEs8xjObn6FQZxj407d23wpvOwO80foNjiceV7Kq3g7ezOg4w+z3y/CGw2nr05azqWdxK3ajdV3zglEwZClHBY9iVPAos8vcrLpjdZMBskKIe0+VrgAmhLh1KpUKT3tPswNZo351+rHt8W0s6rGI3x/5XVn2tCJPNHyCBu4NSNemE58Tj5+zH2Objq2wXHf/7lirrTmfdp4LaRfILsjmeOJxwLBSWFmMwWxMdoyyyk9KXgqFukLUKnWp2U+VSqXcTi1t2djSlrI1Mi4bW6QvUpaNLa9LgzGgNAZpRboiJWt846ILRuV1gdDr9eVmjeGG4DnrevB8KdMQ6N+48tfNVCqVkp019r/cetkwaXxjj8bl9sE0erfdu9hb2xObHUtibiKe9p5lLoZwMydbJ9YMXKOsSLd20FoCXALMKmtU27U2vQJ6EeBUuXJCiP8GCWaF+A9ytnXmId+HzO6PDIYBFiv7r2TigxN5POhxVvdfbVZmzlXjSqeahoFHf1/6m/VR68kvzqeua13qudUrs5yXvReONo7o9DolYDRmQb0dvMsc0FHesrHGALe07KeV2krp65qQk4Bery83MxvgbAisUvNTySrIIj47niJ9ERorTamB9o1dIG5eMjerMEtZkais1f5KywRfTL8IUOEA0i5+XQBYd3EdOr2OjZcMI7371+lfXjFFPfd6zOo0iyD3INrWaMsX3b4wqz+6kaONI8MaDGPCgxPMGswihBCVIR1ahBBms7O2M5lv1FwDAweyO2Y3S08tVbYNazCs3CWIVSoVga6BnEw+yYX0C9R3r6+sP1/TsexsojHrWloGtLwBYGDoanAt5xoJuQn4F/grq/GV1j/XydZJuX1/NfOqcj0/Z79Sb6GbdIHITze5dW2c4cDB2qHMmUJuDmb1er2ylHRFA1Z6BfRizqE5xGbHsuzUMo4lHkOFij61+5Rb7uZzmNNXVQgh7jbJzAoh7rheAb1MRsg62TjxSOAjFZYzDkCJTDGsZmYM3sqbVs7YH/bmKbCKdcXKnJllZT+Ng8Bis2OVvrnV7KopfYRvZrxdfiXzClezDFNk+TuXPpPFjV0gbg60jUF2aX15jW4OZuNz4skuzDYsB1xONwMwDGYaGDgQgC+OGxY76Funb7kzZwghhKWQYFYIccepVWpmdpxJsEcwHWt1ZGnvpSar1ZWlUbX/BbOphmD2bJphIu/yMpFlDbTKLLw+v2VZt7qN8+WeSzun3MI3rjBVGuMUbFeyrijzvZY3LVtZ/WaNgXdZGWO43g/3SuYVk6xsXde6Fc6hCYZ5W42vWy2nWsrCGUIIYemkm4EQ4q6o4ViDnwf+XKkySmY2NRK9Xq8sDVneNGQVBbMuti5lDppr6G6YWeJM6hkl4C1vgJwxM3s18yqZBYbzlxf8GjOzN/fnVbo/lJExBkOgba22Jl2bTlxOnPJalJelvpG3gze/DPyFQ9cOEeQeJH1XhRD3DQlmhRD3rHpu9bBWWZOhzSAiJYLkvGRUqKjvVnYAV1EwW1720xg8R6VHKQFveYubGLsUXM64rPSvLTcz+79uBBn5pjMtGDOzpQ1MM9JYaWjg3oCIlAhOJZ8yu7/sjazUVnSo2cHs44UQwhJINwMhxD3L1sqWeu6GGQ9+O/cbYAgWy5uFQVlp66Y+sxkFZS9la1TdoTquGleK9EWcTjkNGOb0LYsx0A1PCedy5mVD/croMwvXA+kyM7PlBNo3Xu9U0illqdJ/s1qREELcDySYFULc04yT+v9+/neg4uCtrKm5zMnMqlQqk0UsnGycqO1Su8zjazrVVFY1A8MiGGUtK3vjtW+eA7e8xRxu1NSzKQCrz6wmPiceB2uHcufqFUKI/wIJZoUQ97SnGj5l8nhYg2HlHm+c/9S4opaRsU9rhdlPj+vdCoI9gytcqapf7X7Kv59u9HS5042VmZnNr1xmtkhXBEA3/24Vrt4mhBD3OwlmhRD3NB8nH2Vy/361+1W4/Go1e0Mwm5qfil6vV7abk5kFGNl4JM82eZZBgYN4tcWrFdavb52+ONk4UcupFv3q9Cv3WKULxM2zGZiZma3jWsfk+d8YSAshxH+VDAATQtzz3m73Nq1rtDZrxSpjNwNtsZbcolwcbRyB631mKwoYPew9mNxystl187T35M9Bf2JrZYutlW25xyrdDG4aAGZuZlatUrOoxyI+P/o5ado0OtSSwVxCCCHBrBDinudi68LjQY+bdayDjQP21vbkFeWRmpd6PZgt/N8AsAoCxltx42pe5Smrm4GSmS1nNgMjWytb3mjzRqXqJ4QQ9zPpZiCEuO8Y+82m5Kco21K1qYAhk1pVShsAVqwrVh6XN9OCEEKI0kkwK4S473jYeQCmwWx6QTpQtcGssYtDdmE2hcWFgGFgmh5D317jogpCCCHMJ8GsEOK+Y8zMpuYbsrF6vV65tW8MdKuCs62zMjuCsQ+vsYuBs62zWcvSCiGEMCXBrBDivqPMaJBnCGYzCzIp0hums/Kwr7pgVq1S42r7vyVt/zfoqzL9ZYUQQpQkwawQ4r5zc2Y2OS8ZMGQ/K5px4E4z9os1BrPGOt6JgWlCCPFfUKlgNiwsjGeffZa//vpL2dazZ8/bXikhhPg3bg5mjX1nPe2qrr+skbeDNwAJuQkAJOcaAu2qzBgLIYQlq1QwO3r0aBwcHPjpp5+YM2cOADt27LgjFRNCiFtVIpjNMwSz90LAWN3BMI2XMZi9lnsNgBqONaqsTkIIYckqNc9sREQEISEhODs7M2HCBJYsWXKn6iWEELesrMxsVQ7+MjIGs4m5iQAk5CSYbBdCCFE5lcrMFhcX4+zsDMAXX3zB9u3b70ilhBDi3zAGs0l5ScD1PrNVOS2XkdLN4H9BrDFDa+7CC0IIIUxVKjO7du1a5d9qtZrvv/+eIUOG3PZKCSHEv+Hr7AsYFifIKsi6tzOz/wtmazhINwMhhLgVlcrMDh482OSxo6MjI0aMuJ31EUKIf83RxlHJzkZnRd9TfWa9Ha8PANPr9VzLMfSZlcysEELcGpmaSwhxX/Jz9gMMwawxYPSy96rKKgHXM7Mp+Smk5KegLdaabBdCCFE5ZnczcHNzu6ULpKen31I5IYT4N/yc/TiRdIKo9CiuZF4BINAtsIprZejPa622pkhXxOmU08q2qp7/VgghLJXZwezmzZvvWCWio6NJSEggKCgIFxeXCo/X6/VcunSJtLQ0/Pz88Pb2vmN1E0JYJn9nfwD2xuylSF+Eo7XjPZH9VKvUeNt7E5cTx4mkE4BkZYUQ4t8wO5ht167dbb94fn4+I0aMYNOmTQQEBHDlyhU+/vhjJk6cWGaZkydPMnz4cNLS0qhVqxZnzpyhb9++rFy5Ent7+9teRyGEZTIOAgtPCQegrnNdVCpVVVZJ4e3wv2A28X/BrPSXFUKIW1alfWanT5/O4cOHuXjxIpGRkaxevZpJkyZx6NChMsu88MILBAQEEBMTw9GjR4mMjGTHjh0sWrToLtZcCHGv83fxN3lcx6lOFdWkpAbVGgBw6Jrhs66O671TNyGEsDS3PZgdN26c2ceuWLGCcePG4ePjAxhmS2jSpAkrVqwos0xSUhKtW7fG2tqQVPb398fX15ekpKR/V3EhxH3F2M3AqI7zvRMwdq7V2eRxF98uVVQTIYSwfJWaZ9Ycy5YtY+nSpRUeFxcXR0JCAi1btjTZ3qZNG44fP15muRkzZjB16lRq165NQEAAW7duJTc3lxdffLHMMlqtFq1WqzzOzMwEQKfTodPpKqzrv6XT6dDr9XflWuLOkDa0PK62rjxe/3F+O/8bALWdat8z7dfSuyW2alsKdAW4a9xp5tHsnqnbvUreg5ZP2tCyVUX7mXutSgWzK1euvKXKlCY11bDMpIeH6byPHh4eyr7SdO/enTZt2jBt2jR8fX2JiorizTffxN/fv8wys2fPZvr06SW2JyUlkZ+ff4vPwHw6nY6MjAz0ej1qtcyGZomkDS3T+DrjcdA5kJCXgI/eh8TExHum/R6o9gBHko/Q2qM1KckpVV2de568By2ftKFlq4r2y8rKMuu4SgWzI0eOvKXKlMbGxgagRDCZl5eHrW3pU9To9Xr69eun9Jm1tbUlOjqaNm3aUFRUxDvvvFNquWnTpjF58mTlcWZmJn5+fnh5eZk1e8K/pdPpUKlUeHl5yRvYQkkbWq4p1aeg0+lISkq6p9rvldav8PXJr5nQagLeLjIjS0XkPWj5pA0tW1W0n52dnVnHVSqYbd68OUuXLi3RNeBG5o4W9vPzQ61WExsba7I9Nja2zCxrXFwcx44dY+bMmUrA6+fnxyOPPMK6devKDGY1Gg0ajabEdrVafdcaRKVS3dXridtP2tCy3Wvt18y7GYt6ysDVyrjX2lBUnrShZbvb7WfudSpVmxdeeIElS5bcUoVu5uDgQIcOHVi3bp2yLScnh+3bt9OrVy9l24ULF5Q+tNWqVUOtVhMTE2NyrujoaLy8qn5lHyGEEEIIcXdVKjM7YsQICgoKyj1m27ZtZp9v5syZ9OrVi2nTptG+fXsWLlyIt7c3zz33nHLMnDlzOHjwIOHh4djb2zN+/HjeeustiouLqVu3Llu3bmXz5s38/ffflXkqQgghhBDiPlCpYNbR0ZEJEyaUe0zPnj3NPl+XLl3YtWsXixYt4vDhwzRt2pQff/wRJycn5Zj69eubBNCLFi2ibdu2bNmyhd9//52AgAD2799/RxZ1EEIIIYQQ9zaVXq/XV3Ul7rbMzExcXV3JyMi4awPAEhMT8fb2ln5CFkra0LJJ+1k+aUPLJ21o2aqi/cyN1ypdm5iYGL777jvWrl1Lbm5uif0ffPBBZU8phBBCCCHELalUMBsaGkrTpk0ZP348jz32GI0aNeLIkSMmx5Q2n6sQQgghhBB3QqWC2bfffpthw4aRnZ1NXFwc7dq1o0ePHoSEhNyp+gkhhBBCCFGmSgWzR44cYdasWWg0GmrUqMGaNWuYMGEC/fr1Y9++fXeqjkIIIYQQQpSqUrMZ2NjYUFxcbLLto48+wsbGhv79+7Np06bbWjkhhBBCCCHKU6lgtmvXruzdu5ehQ4eabJ8+fTpqtZp+/frd1soJIYQQQghRnkp1M3j99df5/vvvS933/vvv8+abb5a6bKwQQgghhBB3QqWC2ZYtW7Jhw4Yy97/99tvk5+f/60oJIYQQQghhjtsy621xcTHZ2dm341RCCCGEEEKYrVLBbEZGBgsWLDDZ9tVXX+Hi4oKLiwu9e/cmLS3ttlZQCCGEEEKIslQqmF2wYAEZGRnK43PnzjFp0iSGDRvGN998Q0xMDLNmzbrtlRRCCCGEEKI0lZrN4JdffuH3339XHq9du5a6deuyfPlyVCoVwcHBjBo1ik8//fS2V1QIIYQQQoibVSozGxUVRUBAgPJ4//799O7dG5VKBUDz5s2JjY29vTUUQgghhBCiDJUKZr29vYmIiACgsLCQkJAQ2rdvr+xPTk7G09Pz9tZQCCGEEEKIMlSqm8EjjzzCmDFjmDJlCrt27UKr1dKnTx9l/+HDh02CWyGEEEIIIe6kSmVmZ8yYgb+/P2PHjmXt2rV8++23eHh4KPsXLFjAxIkTb3slhRBCCCGEKE2lMrNubm6sX78erVaLra2t0lfWaNu2bbICmBBCCCGEuGsqFcwalRWwSiArhBBCCCHuptuyApgQQgghhBBVwezMrJub2y1dID09/ZbKCSGEEEIIURGzg9nNmzffyXoIIYQQQghRaWYHs+3atbuT9RBCCCGEEKLSpM+sEEIIIYSwWBLMCiGEEEIIiyXBrBBCCCGEsFgSzAohhBBCCIslwawQQgghhLBY/zqY3b17978qHxoaytixYxk4cCDTpk0jJSWlwjJarZbFixfz+OOPM2rUKPbu3fuv6iCEEEIIISzTvw5mu3Xrdstl9+/fT8eOHXF2dmbkyJHK45ycnDLL5Obm0qVLF77++msGDRrEoEGD+PDDDwkNDb3legghhBBCCMtk9jyzd8Jbb73FgAEDmD9/PgD9+/enZs2aLF26lJdffrnUMjNnzuTSpUucOXMGd3d3AB599FFyc3PvVrWFEEIIIcQ9osr6zObl5bFv3z4GDx6sbHN2dqZHjx5s3bq1zHLfffcdI0eOVAJZAJVKhaOj452srhBCCCGEuAdVOjNrzKKWt+2VV16p8DzR0dHodDp8fX1Ntvv6+rJr165Sy6SmphIfH0/Tpk354IMPOHr0KDVr1mTUqFF07NixzGtptVq0Wq3yODMzEwCdTodOp6uwrv+WTqdDr9fflWuJO0Pa0LJJ+1k+aUPLJ21o2aqi/cy9VqWD2e3bt1e4zZxgtqCgAAB7e3uT7Q4ODsq+mxm7Erz++uuMHj2a8ePHc+jQIbp06cKaNWt47LHHSi03e/Zspk+fXmJ7UlIS+fn5Fdb139LpdGRkZKDX61GrZQIJSyRtaNmk/SyftKHlkza0bFXRfllZWWYdV+lgdsOGDSaPVSpViW3mMHYTSE1NNdmekpJi0oWgtDIPPfQQc+fOBeCRRx7h6tWrfPLJJ2UGs9OmTWPy5MnK48zMTPz8/PDy8sLFxaXSda8snU6HSqXCy8tL3sAWStrQskn7WT5pQ8snbWjZqqL97OzszDquygaA1apVCy8vL44dO8aAAQOU7ceOHaN169allnF0dKRBgwYEBASYbPf392f//v1lXkuj0aDRaEpsV6vVd61BVCrVXb2euP2kDS2btJ/lkza0fNKGlu1ut5+516nSv6bRo0ezbNkyEhMTAdi4cSNhYWGMHj1aOWbevHmMHz9eeTx27Fj+/PNPJaObkZHBH3/8QdeuXe9q3YUQQgghRNX715nZt99++5bLTp8+nYiICOrXr09gYCCRkZHMnTvXZDDX6dOnOXjwoPL41VdfJTw8nMDAQBo1asSZM2do3bo1n3766b96HkIIIYQQwvL862B25syZt1zWwcGBjRs3cu7cORISEmjUqBGenp4mx0yZMoWMjAzlsbW1Nd9//z1Xr17l6tWr+Pv74+/vf8t1EEIIIYQQlqtKF00wCgoKIigoqNR9jRo1KnW7BLFCCCGEEEJ6YAshhBBCCIslwawQQgghhLBYEswKIYQQQgiLJcGsEEIIIYSwWJUKZsPCwnj22Wf566+/lG09e/a87ZUSQgghhBDCHJUKZkePHo2DgwM//fQTc+bMAWDHjh13pGJCCCGEEEJUpFJTc0VERBASEoKzszMTJkxgyZIld6peQgghhBBCVKhSmdni4mKcnZ0B+OKLL9i+ffsdqZQQQgghhBDmqFRmdu3atcq/1Wo133//PUOGDLntlRJCCCGEEMIclcrMDh482OSxo6MjI0aMuJ31EUIIIYQQwmwyNZcQQgghhLBYZnczcHNzu6ULpKen31I5IYQQQgghKmJ2MLt58+Y7WQ8hhBBCCCEqzexgtl27dneyHkIIIYQQQlSa9JkVQgghhBAW67YHs+PGjbvdpxRCCCGEEKJUtz2YXbZs2e0+pRBCCCGEEKWq1KIJK1euvFP1EEIIIYQQotIqFcyOHDnyTtVDCCGEEEKISqtUN4PmzZsTGhqKXq8v8z8hhBBCCCHulkoFsy+88AJLliy5U3URQgghhBCiUirVzWDEiBEUFBSUe8y2bdv+VYWEEEIIIYQwV6Uys46OjkyYMKHcY3r27PmvKiSEEEIIIYS5ZNEEIYQQQghhsWTRBCGEEEIIYbFk0QQhhBBCCGGx7olFE6Kjo0lISCAoKAgXFxezy2VkZHDq1Clq1apFnTp17kjdhBBCCCHEvatKF03Iz89nxIgRbNq0iYCAAK5cucLHH3/MxIkTKyyr1+uVshMnTmT+/Pm3tW5CCCGEEOLeV6WLJkyfPp3Dhw9z8eJFIiMjWb16NZMmTeLQoUMVlv38888pLi6mSZMmlbqmEEIIIYS4f1TpogkrVqxg3Lhx+Pj4ADB48GCaNGnCihUryi139OhR5s2bx4oVK1CpVLetPkIIIYQQwrJU2aIJcXFxJCQk0LJlS5Ptbdq04fjx42WWy8rK4oknnmDRokXUqFHDrGtptVq0Wq3yODMzEwCdTodOpzPrHP+GTqdDr9fflWuJO0Pa0LJJ+1k+aUPLJ21o2aqi/cy9VqWC2du5aEJqaioAHh4eJts9PDyUfaV54YUX6NGjB4MGDTLrOgCzZ89m+vTpJbYnJSWRn59v9nlulU6nIyMjA71ej1otU/taImlDyybtZ/mkDS2ftKFlq4r2y8rKMuu4SgWzZSkuLiYvLw8nJyezy9jY2ACUCCbz8vKwtbUttcy6devYsGEDv/zyCyEhIQDk5OQQFxdHSEgInTp1KrXctGnTmDx5svI4MzMTPz8/vLy8KjV7wq3S6XSoVCq8vLzkDWyhpA0tm7Sf5ZM2tHzShpatKtrPzs7OrOMqFcxmZGTw3Xff8fLLLyvbvvrqK6ZOnUpeXh49e/ZkzZo1uLu7V3guPz8/1Go1sbGxJttjY2Px9/cvtUxRURFNmjRhxowZyrb4+Hhyc3OJi4tjz549WFlZlSin0WjQaDQltqvV6rvWICqV6q5eT9x+0oaWTdrP8kkbWj5pQ8t2t9vP3OtUqjYLFiwgIyNDeXzu3DkmTZrEsGHD+Oabb4iJiWHWrFlmncvBwYEOHTqwbt06ZVtOTg7bt2+nV69eyrYLFy4ofWgfffRRQkJCTP6rV68eQ4cOJSQkpNRAVgghhBBC3L8qlZn95Zdf+P3335XHa9eupW7duixfvhyVSkVwcDCjRo3i008/Net8M2fOpFevXkybNo327duzcOFCvL29ee6555Rj5syZw8GDBwkPD69MVYUQQgghxH9ApTKzUVFRBAQEKI/3799P7969lemxmjdvXqLbQHm6dOnCrl27uHLlCgsWLCA4OJiQkBCTvrf169enRYsWZZ7jwQcfpG7dupV5GkIIIYQQ4j5Rqcyst7c3ERERtGzZksLCQkJCQli4cKGyPzk5GU9Pz0pVoGPHjnTs2LHM/W+88Ua55Suak1YIIYQQQty/KhXMPvLII4wZM4YpU6awa9cutFotffr0UfYfPnyY9u3b3/ZKCiGEEEIIUZpKdTOYMWMG/v7+jB07lrVr1/Ltt9+azBO7YMECJk6ceNsrKYQQQgghRGkqlZl1c3Nj/fr1aLVabG1tSywlu23btlKnwBJCCCGEEOJOuKVFE8oKWCWQFUIIIYQQd5PMWiyEEEIIISyW2ZlZNze3W7pAenr6LZUTQgghhBCiImYHs5s3b76T9RBCCCGEEKLSzA5m27VrdyfrIYQQQgghRKVJn1khhBBCCGGxJJgVQgghhBAWS4JZIYQQQghhsSSYFUIIIYQQFkuCWSGEEEIIYbEkmBVCCCGEEBZLglkhhBBCCGGxJJgVQgghhBAWS4JZIYQQQghhsSSYFUIIIYQQFkuCWSGEEEIIYbEkmBVCCCGEEBZLglkhhBBCCGGxJJgVQgghhBAWS4JZIYQQQghhsSSYFUIIIYQQFkuCWSGEEEIIYbEkmBVCCCGEEBZLglkhhBBCCGGxrKu6AqGhoXz11VckJCTQtGlTpk6dioeHR5nHZ2VlsXz5cvbv34+1tTWdOnVi7Nix2Nra3sVaCyGEEEKIe0GVZmb3799Px44dcXZ2ZuTIkcrjnJycUo/X6XQ0bdqUy5cv89hjj9GrVy8+++wz+vfvT3Fx8V2uvRBCCCGEqGpVmpl96623GDBgAPPnzwegf//+1KxZk6VLl/Lyyy+XOF6lUnH8+HHc3d2VbU2bNqVVq1aEhobStm3bu1V1IYQQQghxD6iyzGxeXh779u1j8ODByjZnZ2d69OjB1q1bSy2jUqlMAllA6ZJQVjZXCCGEEELcv6osMxsdHY1Op8PX19dku6+vL7t27TL7PJ988gmenp7lZmW1Wi1arVZ5nJmZCRi6Leh0ukrWvPJ0Oh16vf6uXEvcGdKGlk3az/JJG1o+aUPLVhXtZ+61qiyYLSgoAMDe3t5ku4ODg7KvIsuWLePrr7/mr7/+wtHRsczjZs+ezfTp00tsT0pKIj8/vxK1vjU6nY6MjAz0ej1qtUwgYYmkDS2btJ/lkza0fNKGlq0q2i8rK8us46osmDV2F0hNTTXZnpKSUqIrQWlWrlzJCy+8wA8//MCAAQPKPXbatGlMnjxZeZyZmYmfnx9eXl64uLjcQu0rR6fToVKp8PLykjewhZI2tGzSfpZP2tDySRtatqpoPzs7O7OOq7JgtlatWnh5eXHs2DGTYPTYsWO0bt263LKrV69m7NixLF++nKeeeqrCa2k0GjQaTYntarX6rjWISqW6q9cTt5+0oWWT9rN80oaWT9rQst3t9jP3OlX61zR69GiWLVtGYmIiABs3biQsLIzRo0crx8ybN4/x48crj3/++WeeffZZli9fztNPP33X6yyEEEIIIe4dVTo11/Tp04mIiKB+/foEBgYSGRnJ3Llz6dixo3LM6dOnOXjwIAAZGRmMHDkSV1dXVqxYwYoVK5TjpkyZQr9+/e76cxBCCCGEEFWnSoNZBwcHNm7cyLlz50hISKBRo0Z4enqaHDNlyhQyMjKU4zdt2lTquRo3bnzH6yuEEEIIIe4tVb6cLUBQUBBBQUGl7mvUqJHybxsbG3r27Hm3qiWEEEIIIe5x0gNbCCGEEEJYLAlmhRBCCCGExZJgVgghhBBCWCwJZoUQQgghhMWSYFYIIYQQQlgsCWaFEEIIIYTFkmBWCCGEEEJYLAlmhRBCCCGExZJgVgghhBBCWCwJZoUQQgghhMWSYFYIIYQQQlgsCWaFEEIIIYTFkmBWCCGEEEJYLAlmhRBCCCGExZJgVgghhBBCWCwJZoUQQgghhMWSYFYIIYQQQlgsCWaFEEIIIYTFkmBWCCGEEEJYLAlmhRBCCCGExZJgVgghhBBCWCwJZoUQQgghhMWSYFYIIYQQQlgsCWaFEEIIIYTFkmBWCCGEEEJYLAlmhRBCCCGExbongtno6GhCQ0PJzMy8o2WEEEIIIcT9pUqD2fz8fB577DEaNGjAyJEjqVGjBgsXLrztZYQQQgghxP3JuiovPn36dA4fPszFixfx8fHhzz//ZMiQIbRp04a2bdvetjJCCCGEEOL+VKWZ2RUrVjBu3Dh8fHwAGDx4ME2aNGHFihW3tYwQQgghhLg/VVlmNi4ujoSEBFq2bGmyvU2bNhw/fvy2lQHQarVotVrlcUZGBgDp6enodLpbfQpm0+l0ZGZmYmtri1p9T3RTFpUkbWjZpP0sn7Sh5ZM2tGxV0X7GcVF6vb7c46osmE1NTQXAw8PDZLuHh4ey73aUAZg9ezbTp08vsT0gIKBSdRZCCCGEEHdXVlYWrq6uZe6vsmDWxsYGMAzoulFeXh62tra3rQzAtGnTmDx5svJYp9ORmpqKh4cHKpXqlupfGZmZmfj5+REdHY2Li8sdv564/aQNLZu0n+WTNrR80oaWrSraT6/Xk5WVRc2aNcs9rsqCWT8/P9RqNbGxsSbbY2Nj8ff3v21lADQaDRqNxmSbm5vbrVX8X3BxcZE3sIWTNrRs0n6WT9rQ8kkbWra73X7lZWSNqqzTioODAx06dGDdunXKtpycHLZv306vXr2UbRcuXFD6w5pbRgghhBBC/DdUaQ/smTNn8ueffzJt2jTWrVvH4MGD8fb25rnnnlOOmTNnDiNHjqxUGSGEEEII8d9QpcFsly5d2LVrF1euXGHBggUEBwcTEhKCk5OTckz9+vVp0aJFpcrcazQaDe+//36Jrg7CckgbWjZpP8snbWj5pA0t273cfip9RfMdCCGEEEIIcY+Sid6EEEIIIYTFkmBWCCGEEEJYLAlmhRBCCCGExaqyeWYtWVFREaGhobi7u9OgQYNyj83JySl1qd1mzZqVmKctJyeHM2fO4O7uTt26dW9rnYWp9PR0wsPDqV+/PtWrVy/32NjYWC5dumSyTa1W06FDB5Nter2eqKgotFotgYGB92Qn+ftJVFQUcXFxtGnTptxFUwDCw8NJT0832ebh4UGjRo1KPT4hIYHz588TGBiIj4/P7aqyuMnx48fR6/Umg3zLEhISUmJbWe2TmprKpUuXCAoKwtnZ+bbUVZSUn5/PsWPH8PHxoU6dOuUea/zMvVmrVq2ws7Mz2ZaYmEh0dDTu7u7UqVPnrixu9F+VmJjIuXPnCA4Oxt3d3awyOp2OM2fOYGtrS7169Uo9JjY2lvj4eAIDA80+77+iF2bLzs7Wv/vuu3o/Pz+9s7Ozfvjw4RWWOX78uB7Qt23bVt+xY0flv5MnT5oct2rVKr2zs7M+KChI7+zsrO/WrZs+PT39Tj2V/6zz58/rx4wZo/fx8dGrVCr9t99+W2GZTz75RO/o6GjSft27dzc5ZunSpfratWvr69atq2/YsKHezc1N/80339ypp/GftmXLFn3Pnj311apV0wP66OjoCsv06NFD7+vra9KG06ZNK/XYvLw8/QMPPKBXqVT6hQsX3u7qC71e/8UXX+gbNWqkd3Nz0zdo0MCsMoC+SZMmJm34+++/mxyTl5enHzNmjN7e3l7fsmVLvZ+fn/7zzz+/A8/gvy05OVk/depUfc2aNfX29vb6l19+ucIymzZt0gMm7dexY0d9TEyMckxubq7+0Ucf1Ts6OupbtGih9/b21jds2FB/4sSJO/hs/ptOnDihf+KJJ/TVq1fXA/r169ebVe7vv//W+/r66gMCAvTNmjXTd+7cWR8XF6fsLygo0D/11FN6Ozs7faNGjfR2dnb6OXPm3KmnoZDMbCUkJSVhZWXFwYMHKz2v7YYNG/D09Cx134ULF3jmmWdYtGgR48ePJz09nXbt2vHqq6+yfPny21F18T9nz56lQ4cOLFy4kGrVqpldrl69eqVmhoyuXbvGnj17lJXoVq5cyahRo3jwwQdp1arVv663uC48PJzXXnsNGxsbunfvbna5ESNGMGfOnAqPmzx5Mp06deLChQv/ppqiHJcuXeK3335j9erV/Pbbb2aX+/zzz+nZs2eZ+8ePH8+BAwc4c+YM/v7+FBYW8t13392GGosbRUdH4+3tzYkTJ+jbt6/Z5aysrMr9HP3yyy/ZsWMHZ86cwdfXl8LCQgYOHMiLL75YbjlReRERETzyyCMsWLCgwruTRqGhoQwaNIjPPvuMSZMmAXDw4EHi4+OVOyRz585l+/btnDlzhoCAALZt20afPn1o3bp1pT6vK0v6zFZC7dq1ef/99ytcI7g0Fy9eJCwsjOzs7BL7fvzxRzw9PRk3bhxgWGp34sSJ/PTTT+Tl5f3reovrBgwYwNixY3FwcKhUueLiYk6ePMmZM2coLCwssf/tt982WVL56aefxtHRkf379//rOgtTkydPpnfv3pW+9ZiVlUVoaCjR0dHoy5iRcO3atezevZtPPvnkdlRVlGHevHk0bty40uXi4+M5evQoqampJfadO3eOlStX8sknnyjvRRsbG8aPH/+v6ytMNW/enNdee63MBE15zpw5w8mTJ0v9bktKSsLPzw9fX1/A0H6tW7cmKSnpX9dZmHryySd58sknK+yidaMZM2bQpk0bJZAFaNeunUk3oeXLlzNq1CgCAgIA6NWrF23btr3jiTkJZu+Sxx9/nCeffJJq1aoxceJEk4Do+PHjtGjRwuTLuU2bNuTn53PmzJmqqK64SUREBE888QS9evXC29u7wjdmZGQk2dnZZfYnEnff8uXLGTduHM2aNaNp06YcOXLEZP/Vq1d54YUXWLVqFfb29lVUS1GeV199lTFjxlCzZk0GDx5sEuTs2LEDa2tr+vbty6VLlzh58iS5ublVWFtxs+LiYgYMGMBjjz2Gu7s77777rskPyxdeeIHs7GzefPNNtm/fztKlS1mxYgUzZ86swloLMIwJ2blzJw8//DA5OTkcPXqU2NhYk2MyMzOJioqiZcuWJtvbtGlT6tih20mC2TvM1dWVLVu2EB0dTWRkJAcOHOCHH34weXOmpqbi4eFhUs74uLQMhLi7mjdvzvnz5zl9+jTR0dF89NFHjBs3jr1795Z6fH5+Ps8++yxt2rShT58+d7m2ojRjxowhKSmJsLAw4uLiaNq0KYMHDyYjIwMwfMk+9dRTTJ06lQcffLCKaytK880335CUlMSJEyc4d+4cZ8+eVe5mAcTFxeHh4cH48ePp1q0bTz31FN7e3syfP7/qKi0UPj4+HDhwgIsXL3L+/Hn+/vtv5s6dy5IlS5RjAgICeO6551iyZAmvv/46b731Fu3ataNr165VV3EBGALVnJwczp8/T1BQEOPHjyc4OJiuXbty7do14Hq8Ulo8c6djGQlm77A6derQu3dv5XHLli0ZP348P//8s7LNxsaG/Px8k3LGWzCVuQUg7oyePXsSGBioPH7hhRdo1qwZa9asKXFsYWEhw4YNIykpiT/++AMrK6u7WVVRhqeeekpZ8tre3p758+cTFxen/CBZsGAB8fHxtG3blpCQEEJCQtDpdERFRREaGlqVVRf/M378eOXulb+/P2+//Tbr168nJycHMHyOJiQkUKNGDS5dukR4eDgrVqxg8uTJHDx4sCqrLoAHHniAdu3aKY979OjB0KFDTb4LP/zwQ7744gtOnTrFsWPHiImJQa/X079//6qosriBjY0NAJs2beLw4cMcO3aMy5cvk5aWxsSJE02OKS2eudOxjASzVaB69eom6fmAgIAS6Xrj4xv7YYp7x81tCIZAdvjw4YSHh7Nr1y5q1apVRbUTFfHw8MDKykppQ2tra3x8fJg2bRpvvvkmb775Jlqtlr/++ouPP/64imsrSlO9enX0ej3x8fGAYUwDwP/93/8pQe/QoUNxd3eXwUP3qJs/Rzds2MAjjzyCn58fYEjmjB8/ntDQUOLi4qqqmgJwcHDAy8uLhx9+WPluc3Nz44knnmDfvn0A1KhRA41GU2o8c6djGQlmb7Ps7GxCQkLIzMwEULIGN9q2bRtNmjRRHvfq1YtDhw6RmJiobPvrr7+oX7++0ola3D0xMTEmA7dubsO0tDRCQ0NN2rCoqIgnnniCsLAwdu/eLT9CqtipU6eIjIwEQKvVUlxcbLJ/x44dFBcXK204adIkJSNr/M/e3p5XX32VX3/99a7XXxjmlTUGqqV9jm7duhVnZ2flvdajRw+THyhguDWalZWFl5fX3am0UKSlpRESEqJk6W5uw+LiYnbu3GnyOerl5UVMTIzJcdHR0VhZWVVq9hlxe1y6dMnkzlSfPn1KBKoxMTHK+8vKyopu3bqxbt06Zb9Wq2Xz5s306tXrjtZVpuaqpP3796PT6UhLSyM/P5+QkBBsbW1p06YNYBip2blzZ/bt20enTp145513yMvLo2fPntja2rJ69Wr27t3Lxo0blXMOHz6cefPmMWjQIF5//XUiIyP5+uuvS72NLf6dzMxMTp48CRg6tF+4cIGQkBC8vb0JCgoCDNNqffDBB8qHcJ8+fejTpw8tW7YkLS2NTz/9FBcXF5MRnaNGjWLTpk0sXbqUq1evcvXqVQD8/PzkB8ltZnx9T506BcCRI0e4fPkyDRo0UD5UJ06ciJubG3/++ScxMTEMGzaMcePGERgYyOnTp5k5cyZDhgyhU6dOVflU/rNOnjxJZmYm0dHR5OXlKZnTtm3bYmNjQ1FREZ07d2bhwoVMmDCBn3/+mQ0bNvDoo4/i6enJtm3bWLhwIfPnz1duX9aqVYvJkyczfvx4ZsyYgbOzM59//jkBAQE8+uijVfl07zvFxcUcOHAAMCRw4uLiCAkJwcnJiebNmwPwzz//8PDDD3P+/Hnq1avH888/j7e3N507d0an0/Htt98SFRXFihUrlPNOnDiRAQMGMHXqVHr37k1UVBTvvvsu48aNK7Gwgvh3UlJSlIHKAKdPn8bNzQ1fX1/lLseCBQv4888/uXz5MgDvvfcebdq04c0336R79+4cO3aMpUuXsmzZMuW8M2bMoHPnzrz66qt0796dr7/+Go1Gw4QJE+7o81Hpy5qjRpSqR48eaLVak20eHh789ddfgGEe07Fjx/LVV1/RtGlTdDodK1eu5O+//yYnJ4eGDRsyYcIE5Y/FKD09nY8//pgjR47g7u7OuHHjZPDQHXDq1CleeOGFEtv79OnDu+++C8CqVatYvnw5O3bsACAjI4NFixaxf/9+7O3tadWqFRMmTMDR0VEp369fP7Kyskqc9+mnn+b555+/Q8/mv+nbb7/l+++/L7H9vffeU/qnT5w4EWdnZz766CPAMG3T4sWLiYyMpEaNGvTr14/hw4eXO71X7969ef755yUQugP+7//+j4iIiBLb161bR7Vq1SguLqZLly5MnjxZef23bNnCTz/9xLVr16hTpw5jxoyhdevWJuX1ej0rVqxg7dq16HQ6WrZsyauvvnp3ViD6D8nOzi51ftn69esrwen+/ft5/fXXWbNmDbVq1aKgoIBly5axfft2ioqKCA4OZtKkSdSoUcPkHAcPHmTp0qVcuXIFDw8P+vTpw6hRo2T8wW22e/du3nnnnRLbn3zySV566SUAvvjiC/bt22dyd+rs2bN89tlnREVFUatWLZ555hm6detmco4jR47wxRdfEBcXR6NGjXjzzTeV6dbuFAlmhRBCCCGExZI+s0IIIYQQwmJJMCuEEEIIISyWBLNCCCGEEMJiSTArhBBCCCEslgSzQgghhBDCYkkwK4QQQgghLJYEs0IIIYQQwmLJCmBCCHGXHTt2jNzc3HtmBbJDhw6h1+tp166d2WVCQkKUpUd79eqFh4fHnaoeYFg17PTp04BhpbA6derc0esJISyHBLNCCHGXLV++nJiYmCoJZkNDQ9FqtXTs2FHZ9tVXX1FUVFSpYPbTTz/l9OnTtGjRglatWt3xYDYiIoK//vqLdevWsXjxYglmhRAKCWaFEOI/ZOnSpSQnJ5sEs7eqd+/efPnll7ehVhV78sknefLJJ+/4sphCCMsjwawQ4r6VmJjI7t27GTZsmLLt999/x8/PjzZt2gAQExPDkSNHGDJkCKdPn+bkyZMAuLq60rRpU5Pg6eLFi5w6dYrBgwebXOf8+fOEh4czZMgQZdupU6e4ePEifn5+NG/e3Ky15csrY+wK0KxZM44fP052djZt27bFzc3N5Bz5+fns3bsXa2trHnzwQaKjo0lLS6NLly7K+bOysvj5558BTNZVz83NLffcFdm3bx9OTk48+OCDyrawsDAyMjLo0qWLyfNo0qSJsu+hhx7C2dmZrKws/vnnH2xtbenQoQN2dnaVur4Q4r9JglkhxH1Lr9czfPhwmjRpQuPGjbl69SqPP/44rVu35vDhwwAsW7aMnTt3MmTIEM6ePcuff/4JQGpqKv/88w/vvfceb7zxBmAIFIcMGUJkZCQNGzZUrvPOO+9QWFjIkCFDyMrKYtiwYYSHh/Pggw9y7tw5nJ2dWb9+PTVq1Ci1nuaU+eqrrzhx4gT5+fkEBARw7do14uPj2bNnj1KXq1ev0rVrVwAaNGhAREQEvr6+uLi40KVLFyIjI7l06RJarVZ5nk2aNAEMt/FbtmxZ5rnN8fHHH1OvXj2TYHblypWEh4crwexXX33FsWPHyMzMpHHjxly8eJGMjAzmzp3L+++/T6NGjTh37hwODg4cOnQIe3t7s68vhPhvkmBWCHHfql69Og0bNmT37t00btyYXbt20aJFC8LCwsjMzMTFxYXdu3crAeCQIUNMsqvHjx+nXbt2DB06lLp16xIcHMwDDzzAqlWr+PDDDwFDILp+/XpWrlwJwNSpU1GpVFy8eBFbW1t0Oh1Dhw5l6tSpyjE3M7fM2bNnOXr0KI0aNUKv19OzZ08++eQTli1bBsC0adOoWbMmO3bsQKPREBERQYsWLZTs67Bhw9i5cyfJyclKZtbcc99OFy5cICwsjKCgIAoKCqhfvz4TJkzgxIkT1KlTh9zcXOrUqcNPP/3EmDFjbvv1hRD3F5maSwhxX+vatSu7du0CYPfu3QwZMoTg4GD27duHVqvl4MGDSjALkJmZyZ49e/j11185e/YsLi4uHD16VNn/9NNPs3r1auXxH3/8gUajYcCAARQVFbFy5UqCg4NZt24dv/76K7/99hu+vr5KHW5WmTJdu3alUaNGAKhUKh566CHOnj0LGLLQf/zxBxMnTkSj0QAQHBxM//79zX6dyjr37datWzeCgoIAsLW1pUWLFvTq1UsZ1OXg4ECzZs04d+7cHbm+EOL+IplZIcR9rWvXrkyYMAG9Xs/u3bsZO3YsKSkp7Nq1CycnJ/R6Pe3btwcM/WnHjh1LYGAg/v7+aDQatFotiYmJyvmefPJJ3njjDQ4cOED79u1ZtWoVQ4cORaPREBcXR25uLmFhYURHR5eoR2kSExPNLlOtWjWTxxqNhvz8fACSkpLIz8+ndu3aJsfUrl2byMjICl+n8s59u7m7u5e4lpOT0127vhDi/iLBrBDivta1a1eSk5PZtGkTiYmJtGnThpSUFD788EOcnZ1p27atMtBo4sSJfPjhh0ycOFEp7+npiV6vVx7XqlWLrl27smrVKurUqcPOnTvZuXMnAM7OzqhUKsaPH28y6Kw8t1KmNG5ubqjVatLT0022p6Wl3fI5b8WNrxVAYWHhXb2+EOK/R7oZCCHua8Z+s++//z4dOnTA1taWLl26cPLkSf766y8l+1lcXExycjINGjRQyu7evZuUlJQS5xwxYgRr1qzhxx9/xNfXl86dOwOGwLRDhw58/fXXJYK62NjYUut3K2VKY2trS6tWrfjrr7+UbVqtli1btpgc5+TkdEcznhcuXDB5fPz48Tt2LSGEAMnMCiH+A7p27cqSJUuYNWsWYMhiBgcHc/z4cT777DMArKysGDhwIC+//DKvvvoqSUlJLFiwAAcHhxLne/zxx3nppZeYMWMGEydORKVSKfsWL15Mjx496N69O0OHDiU/P58dO3ZQt25dFi5cWGr9bqVMaWbNmkW/fv1Qq9U0bdqUlStXUlRUZFK/Vq1asXTpUhYvXky1atVMpua6HUJCQpg0aRIPPvggu3fv5uzZs9jZ2bFv3z4l6BdCiNtJglkhxH3viSeeIC0tjYcffljZ9tJLL7Fjxw6lvywYppH66quv2L9/Px4eHmzZsoWVK1cqg5WMXFxcePfddzl58iTPPPOMyb5mzZoRERHBd999x+HDh/H09GTSpEn06dNHOaZly5YmK1iZU6Zt27bodDqTazVu3NjkmJ49e7Jnzx5+/PFHIiIiePXVV9m0aRMZGRnKMcOGDSMvL48DBw6QmZlJkyZNzDp3ac6fP8/PP/9sspztM888Q4MGDdi/fz9t2rRh9uzZzJo1i7i4uDKfR2lzyj700EMmU5kZl7PNy8srt05CiP8elf7m+1pCCCEsUnZ2NhqNBhsbGwAKCgpo1KgRzz33nDJX7u3y2WefceTIEQBmzpxJvXr1GDhwIPXq1WP+/Pm39VoAP/30k9KF4oUXXlDmrRVCCAlmhRDiPnHx4kVGjBjBsGHD0Gg0rFy5koSEBI4cOaJkTu+kOxnMCiFEWWQAmBBC3CcCAwP5+uuvSUpK4sSJEwwbNoyTJ0/elUAWDF0DWrRocVeuJYQQRpKZFUIIIYQQFksys0IIIYQQwmJJMCuEEEIIISyWBLNCCCGEEMJiSTArhBBCCCEslgSzQgghhBDCYkkwK4QQQgghLJYEs0IIIYQQwmJJMCuEEEIIISyWBLNCCCGEEMJi/T93Bx+kOD6fTgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "power balance: min 0.799, max 1.123\n"
     ]
    }
   ],
   "source": [
    "balance = 10 ** (s11 / 10) + 10 ** (s21 / 10)\n",
    "fig, ax = plt.subplots(figsize=(8, 3))\n",
    "ax.plot(wl, balance, color=\"tab:green\")\n",
    "ax.axhline(1.0, color=\"0.6\", ls=\"--\", lw=1)\n",
    "ax.set_xlabel(\"wavelength [µm]\")\n",
    "ax.set_ylabel(\"|S11|² + |S21|²\")\n",
    "ax.set_ylim(0, 1.2)\n",
    "ax.grid(alpha=0.3)\n",
    "plt.show()\n",
    "print(f\"power balance: min {balance.min():.3f}, max {balance.max():.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9e6194b",
   "metadata": {},
   "source": [
    "## Recap\n",
    "\n",
    "- `bragg_te1550` from `devices.gds`, straight from GDS to a tidy3d run with\n",
    "  the shared technology file — nothing device-specific in the setup.\n",
    "- One simulation produced the full 501-point spectrum **and** the field at\n",
    "  seven chosen wavelengths (`spec.field_monitor_wavelengths`) — a 0.3-nm\n",
    "  comb on the Bragg wavelength plus out-of-band companions — pinned to the\n",
    "  silicon core (`spec.field_monitor_positions`).\n",
    "- The spectrum finds the stopband; the field pictures show *why*: in-band\n",
    "  the grating is a mirror (decay + standing wave), out-of-band it is just a\n",
    "  waveguide."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}