{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Using the waveguide plugin to analyze waveguide modes\n",
        "\n",
        "This notebook demonstrates the use of the waveguide plugin to quickly\n",
        "set-up waveguide simulations from usual geometries."
      ],
      "id": "4cff73f8-3f51-41ba-bc4f-935ee6662836"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "from __future__ import annotations\n",
        "\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from matplotlib import pyplot\n",
        "from tidy3d.plugins import waveguide"
      ],
      "id": "8a49f194"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Media used in the examples\n",
        "si = td.material_library[\"cSi\"][\"Li1993_293K\"]\n",
        "sio2 = td.material_library[\"SiO2\"][\"Horiba\"]"
      ],
      "id": "d6126260"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Strip and Rib Geometries\n",
        "\n",
        "The class `RectangularDielectric` allows the creation of a variety of\n",
        "dielectric waveguide geometries common in integrated photonics.\n",
        "\n",
        "First we take a look at a strip silicon waveguide and plot the\n",
        "fundamental quasi-TE and quasi-TM modes, along with their effective\n",
        "indices:"
      ],
      "id": "4f2c5048-832a-4b41-8012-a379690ec582"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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//3jkkUcqff3stNNOMWzYsOjVq1e1xqyJ/f38889nzupo0qRJPPzww5lFA79r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\n44475rzWjdGzzz6b9OjRo9x90rhx46zOtXr16uTKK6+s8Hfvvvvum0y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UqZNERPKrX/2q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\n9sYAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "strip = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.22,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        "    mode_spec=td.ModeSpec(num_modes=2, group_index_step=True),\n",
        ")\n",
        "\n",
        "# Take a look at the waveguide cross-section\n",
        "_ = strip.plot_structures(x=0)"
      ],
      "id": "a40e0eec"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "strip.plot_field(\"Ex\", mode_index=0)"
      ],
      "id": "809c6a63"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Effective indices: [[2.44624476 1.7895686 ]]\n",
            "Effective mode areas (µm²): [[0.19145485 0.35608204]]\n",
            "Group index: [[4.17353874 3.73989668]]"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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rxz77ow5f+astl8ulnj176ueff7Zeq1q1qtq0aaNy5crJ5XJp27Zt+uGHH5SY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\nLp+cnJztoC1xLIBAYUo6EGD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OdzT8omoP5ySXI5+f8w/34klc/nU3Z2tnw+X9WFqyk3N1cFBQUqLS2tc4O2LpdLr7zy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\nvjtscDs3N1fNmjULPjjqdruVlZWlLl266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          }
        }
      ],
      "source": [
        "# Mode data\n",
        "print(f\"Effective indices: {strip.n_eff.values}\")\n",
        "print(f\"Effective mode areas (µm²): {strip.mode_area.values}\")\n",
        "print(f\"Group index: {strip.n_group.values}\")\n",
        "\n",
        "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
        "\n",
        "# quasi-TE mode\n",
        "strip.plot_field(\"Ey\", mode_index=0, ax=ax[0])\n",
        "\n",
        "# quasi-TM mode\n",
        "strip.plot_field(\"Ez\", mode_index=1, ax=ax[1])"
      ],
      "id": "d4690c5e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "It is possible to define waveguides with different substrate and\n",
        "cladding, angled sidewalls, and rib geometry:"
      ],
      "id": "ec7834b0-f4ff-48fe-ba40-5d4e0725aae0"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
        "\n",
        "undercut = strip = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.22,\n",
        "    sidewall_angle=-np.pi / 12,\n",
        "    core_medium=si,\n",
        "    clad_medium=td.Medium(permittivity=1.0),\n",
        "    box_medium=sio2,\n",
        ")\n",
        "\n",
        "undercut.plot_structures(x=0, ax=ax[0])\n",
        "_ = ax[0].set_title(\"Uncladded undercut channel\")\n",
        "\n",
        "rib = strip = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.4,\n",
        "    core_thickness=0.22,\n",
        "    slab_thickness=0.07,\n",
        "    sidewall_angle=np.pi / 6,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        ")\n",
        "\n",
        "rib.plot_structures(x=0, ax=ax[1])\n",
        "_ = ax[1].set_title(\"Rib waveguide\")"
      ],
      "id": "9be87b8c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## FDTD Simulation\n",
        "\n",
        "The waveguide structures can be used in Tidy3D simulations as\n",
        "conventional structures. The origin, length, and orientation of the\n",
        "waveguides can be selected at creation to fit the most common simulation\n",
        "configurations.\n",
        "\n",
        "In the following example, we simulate the effect of directly coupling\n",
        "strip and rib geometries without any tapering and compare the result\n",
        "with the modal overlap calculation between the two modes."
      ],
      "id": "cfdec739-66e2-4c94-a040-d9fd8030faed"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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fH28u2R8eHm6zxKcnzJgxw+F75MCBA1WjRg3zufrnP/+pxo0b2x0bFBSkQYMG\nacGCBZLO/R23adPGcm5q0gsDDTWgktqwYYN5v0uXLurSpYtL4vbv3181atRwuD0lJcW8fpiXl5dG\njx5tGc/Hx0ejRo3Sf//7X0nnrvNVtDlSq1YtDRw4UCtWrNDOnTvVv39/Pfjgg+rfv7/Cw8OdytkV\nMZzlirkyMzPNNZZr165tXnNNkrkes1FkffjC+4GBgcrMzNS+ffts4qWmpuqPP/4wfy6p+eRurn7N\nnK9evXolftBv0aKFeT85OdnZ1J0SExOjEydOKDU11fwgKclmrfaDBw+6dM7Suu2223T//fdr9uzZ\nOnPmjK6++mpz3fZRo0bprrvuKjHGY489VuwaeJVR0fX+8/LydOrUKR04cEDZ2dnatGmTNm3apPff\nf1/ff/+9ZVFckvOv8+CMatWqmQ2wovtXRDxnFb0uXt26dcsUw1Xq16+vTp06Odzu5eWlJk2aaNeu\nXZKk6667zjJe06ZNzfvO/N3Xq1fPvB8bG1vieAAAUDpFm2ndu3dX586dXRJ3wIABll/+nj59WocP\nH5Z07qCkUaNGWcbz9fXVyJEjNW3aNEnn6pGizZGQkBANGDBAP/30k7Zt26YBAwbogQceUP/+/RUW\nFuZUzq6I4SxXzJWenq4dO3ZIkkJDQxUbG2t+XrKqYf38/JSTk1Oshk1JSTGvueTl5VXpalhXv2bO\n17BhwxKvM1aRNWx0dLTi4uKK1bBxcXHmfU/XsCNGjNCPP/6ouXPnKjk5Wb169TJr2DvuuMPhteWL\neuKJJ/TEE09UdKrFtGnTxqxJc3NzzZo0JydHGzdu1MaNG82atDw1WFlqyKINMFfUpFbxnFWZatLI\nyEi1a9fO4XZvb281btzYfE+jJoU9NNSASurYsWPmfVeejdSyZUvL7cePHzc/HDdp0kQhISElxrzs\nssvM+/b+Q5g9e7auueYa7d+/X+vXrzcLraZNm6pLly7q06ePbrnlFsuzmlwRw1nlnSs6Olo5OTmS\npDNnzpT6SLPTp0/b/BwbG6v8/HxJUuPGjcvVJKgIFfGaKcqZf9OiRzgVXry4PLZt26aZM2dq+fLl\nSklJKXG8sxdUr0hvvvmmNm3apP3795uFSNOmTfX+++97OLP/c/ToUR04cMDhdh8fnxL/Xu677z7d\nd999No9lZGTo888/11NPPaWTJ09q586duummm/Trr786XSicr+iBB85eKL7ouPMPXHB1PGcVPYow\nKCioTDFc5ZJLLilxTEBAgNPji4515u++6BdxZT26EgAAOOapGrZoPdG8eXPVqlWrxJgl1SNz5szR\nNddco4MHD2rt2rVau3atJKlZs2bq0qWL+vbtq8GDB1t+XnFFDGeVd66jR4+aX5onJSWVu4aNiYkx\na5JmzZqpTp06pf2VKlRFvGaK8kQNu3XrVs2cOVPff/+9U/VpZahh3377bW3evFl//fWX+Xpp3ry5\n3nnnHQ9nZm38+PEaP368zWPp6en67LPP9J///EenTp3S9u3bdfPNN2vLli1lXmGpRo0aSkhIkORc\nDWkYhs1ryV5N6sp4zqIm/T/UpBeGijnfHEC5FT2ywZVHsJW03FfR5kFoaKhTMYvmZ6/50KBBA+3Y\nsUPvvPOOunXrZp5afeTIES1evFgTJ05Uo0aNdNttt+no0aN253BFDGeVd67yHl1WeEaKvXiuPprR\nFSriNVNUWRsiZTV16lR169ZNn3zyiVPNNOlcQ8fTqlevbi77WGjy5MlOFYfusnjxYl1//fUObzfd\ndFOZ4lavXl333nuvNm/ebP6+27dv15dfflnmXIu+VzrzN3327Fmz8X3+/hURz1lFY1TUUrnOKu3f\nsqv/9ovGK3qkLgAAcI0LqYaNjIzUzp079fbbb+vyyy83a8KoqCh99dVXmjBhgiIjIzVs2DBFR0fb\nncMVMZxV3rmoYUtWmWvY559/Xj169NBnn33mdKOsMtSwQUFBuu2222we+89//uPxZerLIigoSPff\nf782bdpkNp62bt2qxYsXlzlmaWvI88eUtyYtKZ6zqEntx6Mmrbo4Qw2opFx9tJKzSnt0xfnjiu5/\nftwJEyZowoQJOnv2rH7//Xf98ssvWrdunTZs2KDc3Fx98803WrdunbZs2aJWrVpVSAxnlWeuov9B\nBgcHq3v37qWa+/y16j31WnBWRb1mPOHrr7/Ws88+a/NYjRo11LhxY4WGhiogIMAsTlNTU7VlyxZJ\ntsufeMrOnTv16quv2jz20ksvafjw4U5df3HPnj02SzGUV7t27VyyBn1ptGjRQvfee6/eeOMNSdIP\nP/zg1FIh9jRu3NhcujUqKqrE8UXHBAQE2CzlUBHxnFX0CLjK+P7hTkWPwvT0kZEAAFyILrQaNjAw\nUBMnTtTEiRN15swZm5pw48aNys3N1eLFi82asOgSfq6M4azyzFW0hg0JCSn19aHPvyYSNaz7fPnl\nl3rhhRdsHqtZs6ZZw/r7+5s17NmzZ/XLL79Iqhw17LZt2/Taa6/ZPDZ16lTddtttTl1/cffu3TaX\nYiiv9u3bq2HDhuWK0apVK91zzz16++23JZ2rSUeMGFGmWI0bNzYv/1HaGjIoKKjYmaGujucsatL/\nQ016YaChBlRSRf+jKrw+lTsUPerq2LFjTl3QuOh/ss5cZ6xWrVrq37+/+vfvr6efflqJiYl68MEH\n9c033ygpKUmPPfaYli9fXuExnFXauSIiIsz7wcHBWrlyZbnmL/paOHr0qHJzc11ygVtXccdrxl0K\n18SXzl2M9pVXXlHnzp3l5eVVbOxvv/3m0qVsyiMjI0OjRo0ylxqtW7euEhISFBMTo/vvv19fffVV\niTFmzJhhcyHy8nrvvff0wAMP2DzWtGlTc615e0q68Lkziq6HXp41ydu1a2deqPz3338vcfzWrVvN\n+61bty72N+DqeM4q+veVlJRUqn2dKbKdXb6yMih6hGVlW3YIAIALQWWoYY8ePSrDMOx+fi+qtPVI\n7dq1NWDAAA0YMEDPPPOMEhISNH78eH377bc6deqUnnjiCS1durTCYzirtHMVrWHDwsJcWsNGRUUp\nLy/P7WdtWXHHa8ZditawgwYN0ssvv6xOnTrZ/X02b96snj17ujM9h9LS0jR69GjzulyFNezRo0f1\nwAMP6PPPPy8xxrRp0/Tpp5+6LKfZs2cXu7xAWbiyJv32228llb6GbNOmTbHXgKvjOYua9P9Qk14Y\nWPIRqKQuv/xy8/6aNWvctrZu48aNzbNZ0tLS9Ouvv5a4z48//mje79SpU6nnjIiI0CeffGJ+mf7T\nTz+V+tRnV8Rw1VyRkZHmhVZLumaUMxo2bGheNy0jI0M//fRTmWOV9Ut5K554zVSEvLw880NlWFiY\nvv32W1122WUOPzTu37+/xJgV8XzbM2nSJPOi0r169dLOnTvNM5oWL16sjz76yC15lOS2227TypUr\nHd6+++67cs+RmJho3i/PUiFXXnmleX/jxo0lvgd///33dvetqHjOioyMNJfViI+Pt1luoyTOLAPi\nzJGNlUXRMzCbNGniuUQAALhAFa1hV69erfT0dLfM26xZM/NzX+GZWSUpbz1St25dffrpp2aT6Mcf\nfzSvAeXOGK6aq2nTpuaX3ocOHdLff/9drvmaNGliNunS0tK0Zs2aMseqiJrKE6+ZipCdna0dO3ZI\nOvc9xZIlSxweECpVrhp24sSJ5uusT58+2rFjh9lg+OKLLzRv3jy35FERKqImXb9+fYnvqaWpSV0R\nz1mNGjUyX5NxcXGlOjuSmhSVEQ01oJK67LLLzItfnj17VlOnTnXLvF5eXurTp4/58yuvvGI5fufO\nnfrhhx/Mn/v162ez/fzrADkSGBhoNmVycnJsvmx2RQxnuWIuLy8vDRo0yPx58uTJTn9gKCgo0Nmz\nZ4s9XjTe008/XWyNemcFBgaaH2TS0tLKFON8rn7NeMrZs2fNf6ewsDD5+/s7HJufn69Zs2aVGLMi\nnu/zLV68WHPmzJF07ozITz75RPXr19e8efPMuR955BGz4eZIhw4dNHDgQJfdGjVqVCG/r5Xc3Fyb\nIxTLs+xrv379zL/x9PR0vfvuuw7H7t+/3+Ys1fOvZVcR8ZxVrVo183nIz88vVbGxYcMGywMTUlJS\ntHr16jLn5m5FD27o0KGDBzMBAODC1LVrV/PAwpSUFL388stumdfb21u9e/c2fy6pHtm2bZtNc6Ss\nNWxQUJC5LF1WVpbNl9OuiOEsV8zl5eWl66+/3vz5qaeecnr+/Px8uzVs0XhTpkwxV9MoraLLxbmq\npnL1a8ZTil4vLTw83HLFj7y8PL3zzjslxqyI5/t8X3zxhbk6SmhoqBYuXKhLLrnEpon28MMPl9jY\n7dSpk0trWFdcsiAnJ0efffaZ+XN5atIBAwaY1whPTU3V+++/73Dsnj17tGLFCvNnezWkq+M5KyAg\nwFxiNicnR0ePHnV63/Xr11u+vyUlJWnt2rVlzs3dqEkvEAaASmv69OmGJEOS4eXlZbz00ktGXl6e\nw/EpKSlGUlJSscffe+89M87UqVNLnHflypXmeEnGM888YxQUFBQbd/jwYaNZs2bmuPbt2xcbs2LF\nCqNt27bGokWLjJycHIdzLly40IxTvXp1m/lcEcNZrppr//79hre3tznmrrvuMs6ePeswXl5envHt\nt98aHTt2NJYtW1Zs+759+wwvLy8z3vXXX2+cPn3aYbzc3FwjJibG7raIiAjzNRUXF+cwRlGF8zZu\n3Njudle+ZgzDMGJiYswx3bt3LzG/r776yhz/2GOPOfU7nS8vL8/w9/c34/z00092x6WlpRkjRoyw\n+X0HDx7sMG5Znm9nHTt2zAg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          }
        }
      ],
      "source": [
        "length = 6.0\n",
        "\n",
        "strip, rib = (\n",
        "    waveguide.RectangularDielectric(\n",
        "        wavelength=np.linspace(1.5, 1.6, 11),\n",
        "        core_width=0.45,\n",
        "        core_thickness=0.22,\n",
        "        core_medium=si,\n",
        "        clad_medium=sio2,\n",
        "        slab_thickness=0.07 if slab else 0,\n",
        "        length=length,\n",
        "        origin=(0.5 * length if slab else -0.5 * length, 0, 0),\n",
        "        sidewall_angle=np.pi / 12,\n",
        "    )\n",
        "    for slab in (False, True)\n",
        ")\n",
        "\n",
        "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
        "strip.plot_structures(x=-0.5 * length, ax=ax[0])\n",
        "rib.plot_structures(x=0.5 * length, ax=ax[1])\n",
        "\n",
        "pyplot.show()"
      ],
      "id": "b5dc54ec"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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MlyQVfvONin/6qcWex5OXp8JvvpEkhXTvprCTT67R5sC//y1JcsTGquNLL/rC\nhyTZHA4ljB+vuGuvlSTlvPmm3Lt3N3ocJoWeeKKSnnjC9+eCeV8142hgQhuHQ4PCK9ZofFdYqOez\nMn3hQ5I8kt7JzdWsykucyUFB6hcW1mC/tyS0Uc+QUK0qKdbsKpdHjwVuy9JrOdn6Mj9fktQ1JEQn\nNHDJBkfmuAsglmXpt7/9rR555BEVFxerV69euvnmm3XttdcqLi5Ou3bt0mWXXabXX3+9uYd6zMn7\n6CPJ65VsNiVMmFBrm/jrr5ctKEiSlFsZIlriefI+/VRW5eK1mMtrzn64tm+Xa+tWSVL0mDF1Lt6M\nv+53kioWyuZ98kmjx3E4y+tV6a+bVLRsucq2bpPl9R51n1WF9uolW+Uv2/KsrID2jZYnocplwfou\nrawoKT70HEf9E+c9Q0I0MSFBbsvSQ/v2Hf0g6xDrcKh/aJj6hoYqpglmrddUuTzT0PeMI3Pcvaov\nvfSS3n33XUnSpEmT9NRTT/kW2+Xk5Gj06NFatmyZbr75Zp155pnq2rVrcw73mFL47beSpJBuXRXc\nsWOtbZxxcQrt11clP63wtW+J58n74MPKjpyKufSSGsddO3b4vg7t1avOfoJTUmSPjJS3sFAF33yj\nNrfc0uixSBXBOWfm/5T50kvyZGb6Hg9KSVHi3XcretQFR9Tv4bwFBb7g5WyXGJA+0XLtqrLAMsFZ\n90LpNlXegHe5XXW2c6hikWeQzaaXsjK1xeVSpwDPHiQ7g3R/YqLOjoyUs/J3d7ll6auCAv19f+AC\nT9XQkVHOQtSmcFzNgLjdbv3973+XJA0cOFBPPvlktZX+cXFxmjVrloKCguRyufTII48011CPOZbL\npbJt2yVJoSf1rrdtWO8+kiTPgUyVZ2e3uPOUbdni29ESefbZclZZxX+Qt6zM97WtgV+wtsotwWWb\nNss6wpoE+x56WPunTJEnM1O2oCCF9uursIED5cnK0u4771Tu++8fUb+Hy/rPf3xfR51zTkD6RMtV\n5PXqs8pLDWOiY5RUy0LpSLtdv62c4VtbUqINVf7tH25CfIJOCg3VDpdLLzXBDFqX4GDN6tRJ50VF\nyWmzaa/brWXFRdrhcml0dLT+16mTIgMwGxLvcGhMdLQkKa2srNG7f+Cf42oG5Ouvv9a+yinB22+/\nvdbFpp07d9aYMWM0Z84czZkzR9OnT1dIE9SuaG1cu3dL5RU754M6JNfbtupx1/YdcjZipbyJ8+R+\n8IHv69grLq+1TdW+yuv51OUtKfFtEbZKSlS+f7+C2te/++ZweR99pNzZsyVVBKKkxx/znd9bUqL9\nTz6p/Y8+Jnusf7uKStatl1WlFoNVVib3/v0qmD9fxUuWSpJirrhCUeef36hx4tg0Zf8+tXU6dWp4\nuOZ07qLZubnaVFYmjyx1CQ7WuNhYJTqDtKWsTPfs3VNnP12Dg3VLZVj/2/591daSBIJD0jNJyWrj\ndKrU69UD+/bq8ypbevuGhuofyR3057Zt/eov0u7QGeHVt+nHOR3qGhyssTGxSnA6lVNerv/bt0+U\nMmsax1UAmTdvnu/rESNG1Nlu5MiRmjNnjgoKCrR48WKdwyfBBnmr/CKwR0XX27bqcW9h42oCNPV5\nLI9H+R9XrNVwJCQo8qyzam0XetJJUlCQ5HarYMHXShg/vtZ2hd9+J1V5s/fk5zcqgFiWpQPPvyBJ\nCu7aVR2f+3e1GRd7WJiSHn5Y5Xv3+X2p6cCzz9Z5zJmcpKSHHlLk2Wf7PUYc2/K8Xt2YvlMXRkXr\nr+3aVavbIUkur1dPZuzXrNxcldURKuySprRPUojdrg/y8rS0uLjWdkdjRFSUTgwNlSQ9lrG/WviQ\npLWlpbp19y7N7tTZr/46Bwf7CpbV5v3cXP0z84Cymrhw2vHsuLoEs65yWr1NmzZKTq7703O/fv18\nX69fv77Jx9UaeEsO7ZO3hdR/ScIeemhGyVvsX00BU+cpWrRI5QcOSJJixozxLWSt0Xd4uKJHjZIk\nlaxcqZxZs2q0cWdkKGPq1GqPWX7WUDiodO1audPTJUkJN95Y5+WeNn/8g999hvbpo4gzzjj03+mn\nK7RPH9lCQlS+Z6923z1J2TNnNmqcOLbdnJCgh9q3U4zDoQKPRyuKi7W8uFiZ5eUKttt1Z5u2mpyY\nqNp/GqTfx8WrX1iYssvLNfVARpOM8cLKDxQZ5W69n5dXa5uNZWVaWFjoV38FHo++Lyqs9t+y4iLt\nqlwDNTY2Vs916Kj2LaR+T2t0XL2y27ZV7OVOqSf1Hn784HP8lZOTU+ex3GNsO1pj2IKq/FMqr/8T\ng1V+qMixLbiuX2nNc56qO2Zi6rj8clDipLtVtHSJPAcyte9vf1fRsmWKOvfcikJkmzYpe+b/5MnM\nlDM5SeV79laMo/ITnL9Kfj5UXTVi2NA624X27etb7NqQuuqAeAqLlPn888p+/XXtf2SKrJKSOncZ\nofX4W7v2+k1srLyWpWcPZOi/OTlyV8502CRdGh2jB9u107jYOCUHBemWXbuqXZLoFBSkW9u0kSQ9\neSBDuU00Y9Cn8mdneXFxvZdElhQX6fyoqAb7q6sOiCSdHBqqqUnJ6h8Wpv+ldtJVO7Y3eQn549Fx\nFUDyKxdbRUfXP3UfVeUf78Hn+Cu+BVf+OxIlP6+TJ7f2UBXSo4eC2rWTVDEjcJC3gaqBVWcjqj7P\nH015Hk9+vgoXfC1JCj35ZIX26FFv+6B27dTpjTe0+893quzXX1XwxZcq+OLLQw1sNsXfeKNsdpuy\nXnlVkuRo4N/e4Q7OxshuV1BSUp3tbDabgpKS6r7fix8ckRFqN/k+lW3ZoqJFi3TgX/9WzKWXyunn\nNXW0DBF2u04Jrb1Wh8uytLzKltoBYWH6TWVV3DdycvTKYYu1LUkf5ucp1G7Tg+3a68yISF0UFa1P\nCw79XpzSPklhdruWFBXpk0b+vmyMNpUzEbsbWBDa0HF//Fxaqjv37Nb7nbuofVCQbmvTVg8HcIcN\nKhxXAaSkcvq7oUWloVU+pZY0csq8tcl49hnfwsTDJT32mG+RprMyiEhS+f799fZZ9bgzsV09LWtq\nyvPkf/aZbwtqXYtPDxfSpYu6fDBHhd99p6LFi1W+d69ksyu4SxdFX3ihQnv20K4/3SGpIgRVHb8/\nrMrtf/6Uca/rclFjRY8eraJFi2S53Sr45hvFXXVVQPqFGZ2D6l7bkFlerrPSDt0D6fzIQx+26isY\nNicvT/e1TVSI3a7zoiJ9AaRXSIgGVob7BYUFNRZ1VrQ59Pv0xJBQFXgqatf8VFKsUj8XqtqlKltu\n62/rDtDi1w1lZdrmKlOX4BCNiIzUw/X/usEROK4CSGhoqPLz8+Vy1b2PXZLKqmwzC23klHl2Pds9\nc3NzdcIJJzSqv+YW1udk2eoowlO1ToQzLk6O+Hh5srPl2ra13j5dlWWNbUFBCk6t/3JYjXM24Xly\nK2t/2EJCFH3RRX6PyWa3K2r4cEUNH17r8ZI1ayRVzKrYGrlF0FF53dtyueQtLq53JscToEt8zvaH\nQpI7vfYparRchd6KtQ21yTvsMkLV9Q311fdwWZYyysuVEhysJOehoGvXoTIGDzRwbyVJmpiQ4Fvk\nOmprmt/bW72SCj0eRTocinHU/zMUG8AbP+53l6tLcIjinE5F2u0qDHDhv+OdkQDi8XjkOIJ/FAUF\nBXK73QG7rBEVFaWMjAwVNHA3xsIq19Gj/LiWWFVcK7udeeLdd/ndNnzQIBXMm6eSNWtluVy1Lpi0\nLEvFP62QJIX1739EN2hrivOUbd3qu7Fd1PnnN/pSSV2Kf/zRNxMTfeGFjX5+SLdDhfBKf/lF4YMG\n1dquPCdH7r17j2yQh6m2ULae4lRomXa43XWubThcSZXZggi7XXn1vMFGVIbnEutQm/rCzkEJDqdO\nqvwgt7G0VAc8FWuzihv5Zp7mcqlfWJivr7r0buSHxvqEVfnA4AnwtmIY2gVzzTXXaPny5Y16zk8/\n/aQBAwZo69b6P+U2RqdOnSRJuxr44Uyv3HVQ9TloWNQFIyVJ3qIi5c+dW2ubokWLVJ6RUdn+yKp3\nNsV58qrU/mho8am/LMvSgX9V3i8mLk4xF/s/q3JQ+KBBvoBVX0n5vDkfSAH6BVm8apXv62D+/bdq\naVVme4dG1Lx8clCvkBDFV4b4LWWHZkoOhp36/nsx61Dl3hnZWb7HG7uoc3FRkSSpf2iYOtVxuTHY\nZtPoBrbn+yvcZlP3ysv1GeXuamENgWEkgKSlpemMM87QU0891WAlSMuy9Mwzz2jYsGHasmVLvW0b\nq3fvisqZ+/fv14GDi/tqUXXr7cHnoGHRF1zge8PKePoZuTOqb8fz5OZq/2MVt3h3tG2j2LE177Hi\nLS5W4fffq/D771X666YmO09VltervMraH86kJEUMrXu3SbXnud11Vli13G7t+/vffTfCa/fAX2Wv\n5xd8XRyxsYoec7GkipBRsHBhjTalGzcq88UXA7IGpGzzZuW+U1H0zB4eTj2QVm5eYYFvzcRdbdoq\nsZaZwgi7XQ9WubzyZUHTLTStz3t5uSr1emW32fRoUpJCq1SxPmhyYqISAnQJ5s62iQqvnAH5Ir9x\n9YrgHyOXYKKjo+V2u3XfffdpwYIFeuONN9SulsV4GRkZuu666zS38lNtampqvfU6Guu8887Tc889\nJ6miKuq4ceNqbTd//nxJUlhYmIbVsl0RtbM5nUp6dIp23nCjyvfv1/Yrf6P4636n4M6d5dq1Szlv\nzZR71y7JblfS3/4uey131XTv26f0iTdJkmIuu0zJTzzeJOepquiHH3yXSWIuu9TvdRqewkJtPuts\nRZ55psIHDqi4G67dIdfWNOV99LFc27dLqqjREdOINSWHS5w0SUWLKsa469bbFHPZpYo8/XTJ6VTJ\nqtXKmTVLEaeeqvLcHJWuWdtgf4dXQpVlyZOXr5JVK5X74UeyKotItZ10d5032UPrsMvt1oysLP2x\nTRt1DA7Wh5276N3cXK0rLZVXlroFh+g3sbFKrgy3H+TlaUUzLczfW16uf2Ye0OTEdhoQFq4PO3fR\n27k52ulyK8Hp0KXRMTolLEwvZGXq9jYN79yqrRJqkM2mDkFBGh0dpVPCKtZbpbtceqnKLA4Cx0gA\nmTNnjiZOnKj33ntP8+bNU79+/fTGG29o5MiRvjbz5s3Tddddp/2VbwRXXHGFXnnllYCuqbjgggsU\nFxennJwcTZs2rdYAsn//fn1QOR1/0UUXKeIIPrUez8IHDVLHF57Xnvv/ovKMDGU8/Uy14/boaCX9\n7WFFnXt01WUDeR7f5RebTbGX+3/5xRYUJEdMjAq/+UaF33xT47gjNlaJ99zT4AxMQ5xxcUp9/T/a\nddvtcqWlKe/9Ocp7f47veNjAgUp+8gntvPlmv/qrrxKqVPHatbvvXsWOHXtU48ax4fmsTJVYXv0x\noY1iHY4alVClip0lM3Ny9GwTFRnz1xs5OQqx2XRbm7ZKDQ7WfVV2t7ktS/+3b1+1G+zVp6FKqJK0\npKhIf923t961MThyRgJIbGys3n33Xb388sv685//rP3792vUqFGaNGmSHn74YT388MN6+umnZVmW\nQkND9eyzz+oPf/C/sqO/QkNDNXnyZN1333367rvvNHXqVN1zzz2+4yUlJbruuutUUlIiu92uBx98\nMOBjOB5EnnWWun75hQrmzlXxqlXy5OTKEROj0JP7KHr06Ho/VdvDwxVxxhmSKuqMNNV5DrLKy+V1\nuRRxxhkKTk1VcGqq39+nIzJS3b/7VkWLl6j4xx/l3r1blsslZ9s2Chs4UFHDhx/RZZfahHTpohM+\nmKP8ufMqip/l5MrZpo0izjhdUeedJ5vDofD+/eWIilboiT1rPD+ofZLvda3BZqvYIpyYqLB+/RR1\n7jmNrs+CY9ur2dl6LzdX50dF6eTQUMU7nLJJyvV4tKGsVPMLC5VRpbBfY2SWl/sWqh44wj6qmpGd\nrXkFBRoTHaOuIcHyWtI2l0sf5Odpt9utHiEhvvPVttD1p5Ji7ahjx0+5VVEhNc1VpkVFRfXeeA9H\nz2Yd6e05j9D69et19dVX+8qiR0ZG+nad9O7dW7NmzVKfPn2a7Pxut1ujR4/WggULJEnDhw/X8OHD\nVVRUpPfee89X+fSpp56qFk4CIScnx7ejJzs7u9XtmAFaAlstawMABE6g3r+MBxBJKi0t1fDhw7Vs\n2TLfY5dccolmzZqlsAau1wdCYWGh7rzzTr366qs1FsVGRUVp6tSputnP6ezGIIAATY8AAjStYzaA\nFBcX64477tArr7xS7fGwsDD961//0sSJE42NZdeuXfriiy+Unp6ukJAQ9ejRQxdeeGGTrfsggABN\njwACNK1jMoCsW7dO48aN0y+//CJJGjZsmG699Vbdfffd2revos7+lVdeqRkzZii28v4ErQkBBGh6\nBBCgaQXq/ctIHRBJmj59uk499VT98ssvstvtuv/++/Xtt9/qmmuu0Zo1azSq8tbm7733nvr3768l\nS5aYGhoAADDMSAC55ZZbdMstt6ikpERJSUmaN2+eHnvsMTkri94kJibq888/19SpUxUUFKQdO3bo\nrLPO0mOPPSYv258AAGh1jASQnyqrQY4aNUpr1qzReeedV6ONzWbTpEmT9MMPP6hr164qLy/XX//6\nV62qUhYaAAC0DkYCSHBwsJ566il9/vnnatu2/gp1gwcP1qpVq3TNNddIUoOl2wEAwLHHSCGy2bNn\nq2PHjn63j4qK0syZMzVixAiFUxAJAIBWp1nqgByv2AUDND12wQBN65jbBQMAAHCQ8QCyZMkSjR8/\nXr169VJ8fLxCQ0O1cuXKam0+/fRTvfTSS9qzZ4/p4QEAAAOMrAGRKu7Bcuutt2rGjBk1jh2+1fbg\njeKKiop09913mxoiAAAwxNgMyB133OELHwMGDNDkyZPVoUOHWtteeOGFkqR58+aZGh4AADDISABZ\ns2aNXnrpJUnS888/rxUrVujxxx9X+/bta20/dOhQSdKiRYvYhgsAQCtkJIC8/fbbsixL11xzjW69\n9Vbf43WtVg8JCVFcXJyKi4tZBwIAQCtkJICsXr1aknTVVVf5/ZyDsyPZ2dlNMSQAANCMjASQvLw8\nSVK7du2qPV7ffv2Dl17sdnYKAwDQ2hh5d4+NjZUkZWZm+tXe7XZrx44dktRg6XYAAHDsMRJA+vTp\nI0maP39+tcfrmgH59NNPVVJSopSUFCUmJjb5+AAAgFlGAsill14qSZoxY4Z++eWXettmZGTorrvu\nkiRdccUVTT42AABgnpEAcsYZZ2jkyJEqLi7W8OHD9frrr6u4uLham+LiYs2cOVODBw/W9u3bFRUV\nRREyAABaKWM3o8vIyNCwYcOUlpYmSXI4HLLb7XK73erQoYMyMjLkdrslSU6nU7Nnz9bll19uYmjG\ncDM6oOlxMzqgaR1zN6NLTEzU8uXLdfXVV8tut8vj8fgCx+7du31fd+3aVXPnzm114QMAABxibAak\nqi1btuizzz7TmjVrlJWVpZCQEKWkpOicc87RqFGj5HQau0WNUcyAAE2PGRCgaQXq/atZAsjxigAC\nND0CCNC0jrlLMAAAAAcRQAAAgHEBXWzx2muvBfzmcePHj1dSUlJA+wQAAM0roAFk2rRpWrFiRSC7\n1KhRowggAAC0MgENIFFRUYqJiam3TUFBgbxer+/PERERKisrU3l5ebXHDu6Eaa07YgAAOJ4FdA3I\nN998o9zc3Fr/2717t8aNGyen06nbb79dy5cvV1lZmQoLC+V2u7V9+3ZNnz5dXbp0UWpqqr766ivl\n5uaqf//+gRwiAABoAYxsw/V4PLr44ou1cOFCffXVVzrjjDPqbFtYWKjRo0dr7dq1WrRokU4++eSm\nHp4xbMMFmh7bcIGmdUxtw50zZ46+/PJL/elPf6o3fEhSZGSk/vOf/yg/P597wQAA0EoZCyCSNHLk\nSL/ad+vWTV27dtVXX32l/Pz8phwaAABoBkYCyK5duyRJQUFBfj/nYNv09PQmGRMAAGg+RgJIVFSU\nJGnx4sV+tc/IyNCWLVuqPRcAALQeRgLIsGHDJElTp05VWlpavW29Xq9uv/12lZeXKyUlRSkpKSaG\nCAAADDISQCZMmKCYmBhlZ2dryJAheuGFF5STk1Otjcfj0cKFC3Xeeedp9uzZkqS77rqLFe0AALRC\nxu6G++mnn2rs2LFyuVwVJ7bZlJqaqri4OJWWlmrnzp0qLi72tb/yyis1a9YsORwOE8Mzgm24QNPj\nQwvQtI6pbbiSdPHFF+v777/3FRazLEs7duzQ6tWrtXHjRl/4iIqK0uOPP97qwgcAADjEaJ3zU089\nVatWrdLixYu1YMEC/frrr8rLy1NoaKiSk5M1ZMgQjRkzRpGRkSaHBQAADDN2CQZcggFM4BIM0LSO\nuUswAAAABxFAAACAccbvdb9p0yZ988032rJli/Lz8+XxeOpt/3//93/q1KmTodEBAAATjAWQPXv2\naOLEifr8888b9bxbbrmFAAIAQCtjJICUlJTonHPO0aZNm3yPJSUlKSEhocGttuHh4U09PAAAYJiR\nADJjxgxf+Ljjjjt0zz33qEOHDiZODQAAWiAjAWT+/PmSpIkTJ+qf//yniVMCAIAWzMgumKysLEnS\nVVddZeJ0AACghTMSQJKSkiRJISEhJk4HAABaOCMBZPTo0ZKklStXmjgdAABo4YyUYi8rK9OwYcOU\nlZWlVatWHbclyCnFDjQ9SrEDTeuYKsUeEhKiTz/9VO3atdPZZ5+txYsXmzgtAABooYzsgpk0aZK2\nbNmitm3b6ssvv9Tpp5+ulJQUnXjiiQ3W+XjmmWfUtWtXE8MEAACGGAkgCxcu1IoVK6o9lp6ervT0\n9Aaf+8ADDzTVsAAAQDMxEkAGDhyoyMjII3puVFRUgEcDAACam5EAMn36dBOnAQAAxwgji1ABAACq\nIoAAAADjCCAAAMA4AggAADAuoItQJ0yYoI0bN0qSXn31VfXs2bPG441VtR8AANA6BDSArF692lfv\no6CgoNbHG6tqPwAAoHUIaAC54IIL1K1bN0ny3fPk8Mcbq2o/AACgdTByMzpU4GZ0QNPjZnRA0zqm\nbkYHAABQFQEEAAAYRwABAADGEUAAAIBxBBAAAGAcAQQAABhHAAEAAMYRQAAAgHEEEAAAYBwBBAAA\nGEcAAQAAxhFAAACAccYDyJIlSzR+/Hj16tVL8fHxCg0N1cqVK6u1+fTTT/XSSy9pz549pocHAAAM\ncJo6kdvt1q233qoZM2bUOOb1eqv9+bvvvtPUqVNVVFSku+++29QQAQCAIcZmQO644w5f+BgwYIAm\nT56sDh061Nr2wgsvlCTNmzfP1PAAAIBBRgLImjVr9NJLL0mSnn/+ea1YsUKPP/642rdvX2v7oUOH\nSpIWLVoky7JMDBEAABhkJIC8/fbbsixL11xzjW699Vbf4zabrdb2ISEhiouLU3FxMetAAABohYwE\nkNWrV0uSrrrqKr+fc3B2JDs7uymGBAAAmpGRAJKXlydJateuXbXH65oBkeS79GK3s1MYAIDWxsi7\ne2xsrCQpMzPTr/Zut1s7duyQJLVt27aphgUAAJqJkQDSp08fSdL8+fOrPV7XDMinn36qkpISpaSk\nKDExscnHBwAAzDISQC699FJJ0owZM/TLL7/U2zYjI0N33XWXJOmKK65o8rEBAADzjASQM844QyNH\njlRxcbGGDx+u119/XcXFxdXaFBcXa+bMmRo8eLC2b9+uqKgoipABANBK2SxDhTYyMjI0bNgwpaWl\nSZIcDofsdrvcbrc6dOigjIwMud1uSZLT6dTs2bN1+eWXmxiaMTk5OYqPj5dUsbsnLi6umUcEtD71\nLW4HcPQC9f5lbItJYmKili9frquvvlp2u10ej8cXOHbv3u37umvXrpo7d26rCx8AAOAQYzMgVW3Z\nskWfffaZ1qxZo6ysLIWEhCglJUXnnHOORo0aJafT2C1qjGIGBGh6zIAATStQ71/NEkCOVwQQoOkR\nQICmdcxdggEAADiIAAIAAIwL6GKL1157LeA3jxs/frySkpIC2icAAGheAQ0g06ZN04oVKwLZpUaN\nGkUAAQCglQloAImKilJMTEy9bQoKCuT1en1/joiIUFlZmcrLy6s9dnAnTGvdEQMAwPEsoGtAvvnm\nG+Xm5tb63+7duzVu3Dg5nU7dfvvtWr58ucrKylRYWCi3263t27dr+vTp6tKli1JTU/XVV18pNzdX\n/fv3D+QQAQBAC2BkG67H49HFF1+shQsX6quvvtIZZ5xRZ9vCwkKNHj1aa9eu1aJFi3TyySc39fCM\nqboNF0DTePrpp5t7CECrU1xcrAcffFDSMbYNd86cOfryyy/1pz/9qd7wIUmRkZH6z3/+o/z8fO4F\nAwBAK2UsgEjSyJEj/WrfrVs3de3aVV999ZXy8/ObcmgAAKAZGAkgu3btkiQFBQX5/ZyDbdPT05tk\nTAAAoPkYCSBRUVGSpMWLF/vVPiMjQ1u2bKn2XAAA0HoYCSDDhg2TJE2dOlVpaWn1tvV6vbr99ttV\nXl6ulJQUpaSkmBgiAAAwyEgAmTBhgmJiYpSdna0hQ4bohRdeUE5OTrU2Ho9HCxcu1HnnnafZs2dL\nku666y5uLAUAQCtkpMpX+/bt9dZbb2ns2LHKzMzUbbfdpttvv12pqamKi4tTaWmpdu7cqeLiYt9z\nrrzySt1+++0mhgcAAAwzdjO6iy++WN9//72vsJhlWdqxY4dWr16tjRs3+sJHVFSUHn/8cc2aNUsO\nh8PU8AAAgEFG65yfeuqpWrVqlRYvXqwFCxbo119/VV5enkJDQ5WcnKwhQ4ZozJgxioyMNDksAABg\nWLPcaGXYsGG+hakAAOD4Y+wSDAAAwEEEEAAAYJzxSzBut1tz5szRggULtHHjRuXm5iosLEzJycka\nOnSorrnmGnXs2NH0sAAAgEFGA8iCBQt0ww031Fle/cMPP9Rf//pX3XXXXZoyZUqjSrcDAIBjh7EA\n8tlnn+nSSy+Vx+ORVHGvl549eyohIUGlpaXasmWLsrKyVF5erqeeekrbtm3TO++8QyEyAABaISNr\nQPLz8/X73/9eHo9HCQkJeumll5STk6Off/5ZCxcu1NKlS5WZmaklS5bonHPOkSS9++67euONN0wM\nDwAAGGYkgMycOVOZmZmKi4vT0qVLdfPNNysiIqJGuyFDhmj+/Pm66qqrJEn//Oc/TQwPAAAYZiSA\nLFy4UJI0adIkdevWrd62drtdzz33nBwOh1avXl3jnjEAAODYZySA7NmzR5J0+umn+9U+MTFR3bt3\nlyTt3bu3ycYFAACah5EAYrdXnObgAlR/lJeXSxL3gwEAoBUyEkBSUlIkVWzD9cfOnTuVlpYmu92u\n5OTkphwaAABoBkYCyMiRIyVJ//rXv7Ry5cp627pcLt10002yLEtDhgxRVFSUiSECAACDjASQcePG\nKSUlRUVFRTrrrLP097//XTt27KjWpri4WB9++KFOO+00zZ07V5J07733mhgeAAAwzEghspCQEL3z\nzjs677zzVFRUpIceekgPPfSQ4uPjFRcXp7KyMu3du7faGpHbbrtNl156qYnhAQAAw4zdjG7o0KFa\nunSpBg0a5HssOztbaWlp2rVrly98xMbG6t///reee+45U0MDAACGGb0XTN++ffXjjz9q6dKlmj9/\nvjZu3Ki8vDyFhob6bkY3ZsyYWouUAQCA1sP43XClioqnQ4YMaY5TAwCAFsDYJRgAAICDCCAAAMA4\no5dgSktL9dFHH2nhwoXasmWL8vPzG6yO+uabb6pXr16GRggAAEwwFkB++OEH/fa3v61R/6MhRUVF\nTTQiAADQXIwEkO3bt2vUqFEqLCyUJCUnJ6tv376Ki4vz3SemLgkJCSaGCAAADDISQJ577jkVFhYq\nOjpab7zxBgXGAAA4zhlZhLpixQpJ0sMPP0z4AAAAZgJIUFCQJOm0004zcToAANDCGQkgB3exZGdn\nmzgdAABo4YwEkJtvvlk2m03vvvuuidMBAIAWzkgA6d27t5544gm9+eabmjZtmolTAgCAFsxYHZB7\n771X7dq101133aW33npLV111lXr06KHw8PB6nzdw4EBFRUUZGiUAADDBaCXU9u3bq1u3blqyZImW\nLFni13N+/PFHDRo0qIlHBgAATDIWQP7yl7/o8ccfN3U6AADQghkJIPPnz/eFjz59+ujGG2/0uxJq\nz549TQwRAAAYZCSA/Pe//5UknXvuufryyy99dUEAAMDxycgumO3bt0uS7rjjDsIHAAAwE0DatGkj\niRvLAQCACkYCyPnnny9JWr9+vYnTAQCAFs5IAPn973+vnj176umnn1ZBQYGJUwIAgBbMSACJiIjQ\nl19+qYiICJ111llaunSpidMCAIAWysgumEmTJmnLli1KTk7W3LlzNXToUKWmpqpnz54NVkJ95pln\n1LVrVxPDBAAAhhgJIAsXLtSKFSuqPbZz507t3Lmzwec+8MADTTUsAADQTIwEkIEDByoyMvKInst9\nYAAAaH2MBJDp06ebOA0AADhGGFmECgAAUBUBBAAAGEcAAQAAxhFAAACAcQQQAABgHAEEAAAYRwAB\nAADGEUAAAIBxBBAAAGAcAQQAABhHAAEAAMYZuRfM4Vwul1atWqWNGzcqNzdXYWFhSk5O1qmnnqrE\nxMTmGBIAADDIaAApLCzUlClT9PLLLysnJ6fGcZvNppEjR2rKlCkaNGiQyaEBAACDjF2C2bFjh/r3\n768nn3yy1vAhSZZlae7cuRoyZAh30AUAoBUzEkBcLpdGjx6ttLQ0SdKYMWM0e/Zsbdq0SQcOHFB6\neroWLlyo+++/XzExMfJ4PPrDH/6gr776ysTwAACAYUYuwbzxxhvasGGDHA6HZs6cqXHjxtVo07Fj\nR5199tm67bbbNGLECP3yyy/6y1/+ohEjRpgYIgAAMMjIDMiXX34pSZo4cWKt4aOq5ORkvfXWW5Kk\nn376SZmZmU0+PgAAYJaRALJ3715J0mWXXeZX+1NOOUWdOnWSJO3bt6+phgUAAJqJkQDStm1bSVJE\nRITfzznY9uBzAQBA62EkgJx99tmSpJUrV/rVPj8/X2lpaerVq5fatWvXlEMDAADNwEgAufHGG9W5\nc2dNnTpVGRkZDbb/y1/+orKyMj3yyCMGRgcAAEwzEkBiYmI0d+5cxcTEaOjQofroo4/k8XhqtNu8\nebOuueYavfrqq5o2bZrGjh1rYngAAMCwgG7DnTRpkrZs2VLn8dTUVM2bN0+XXXaZYmJi1KdPH8XF\nxam0tFTbtm3z1Qnp06eP5s6dq7lz5+qZZ55R165dAzlMAADQzAIaQBYuXKgVK1b41TYvL08//PBD\nrcfWrVundevWSZIeeOCBgI0PAAC0DAENIAMHDlRkZGQgu1RUVFRA+wMAAM0voAGE+7cAAAB/GLsZ\nHQAAwEEEEAAAYBwBBAAAGEcAAQAAxgV0EeqECRO0ceNGSdKrr76qnj171ni8sar2AwAAWoeABpDV\nq1f76oAUFBTU+nhjVe0HAAC0DgENIBdccIG6desmSYqPj6/18caq2g8AAGgdAhpAHn300UY9DgAA\njk8sQgUAAMYRQAAAgHEtNoAUFBTomWee0aZNm5p7KAAAIMBaXADZv3+//vrXvyo1NVWTJk1Sfn5+\ncw8JAAAEWEAXodamsLBQBw4cUJs2beq9s21aWpqefvppvf766yotLW3qYQEAgGbUZDMgc+fO1dCh\nQxUTE6MTTjhB0dHR6tmzp958881q7fbu3asJEyaoZ8+eeumll3zho3v37nrppZfUt2/fphoiAABo\nJk0yA/LWW2/puuuuk2VZ1R7ftGmTrrvuOmVkZOjuu+/Wp59+quuuu045OTm+NqeddpruueceXX75\n5bLbW9wVIgAAEAABDyA5OTm69dZbfeGjW7du6tmzpzIyMrR27VqVlZXpgQceUPfu3XXllVfK7XZL\nkkaPHq3JkyfrrLPOCvSQgBYlxm5Xj5BQSdLa0hKVHRbUAQRWVFaWgsrK5AoNU2F8XHMPB5UCHkDe\nffdd5efny+Fw6PXXX9e1117rO5aWlqYrrrhCa9eu1W9+8xu53W717NlTr776qk4//fRADwWtQJzD\noW7BIY16zhZXmXI8Hr/aBtts6hca5vvzZleZcv187pE6OTRML6ekSJJGbU3TzsoQflC/0FAF22rO\n/lmy5LIsZXs82nXYcwB/2D0exe7f71fbwthYucLDj/6kXq9CSksVUlQsu9crV1ioiqOiJJvt6Pv2\n00lLlihh7z7t7dJZq84/v9qx4OJiRebm1vo8y2ZXeXCQSqKiVB4cbGCkx5eAB5AlS5ZIkq677rpq\n4UOSunbtqunTp2vo0KFyuVzq3Lmzli5dqtjY2EAPA63E4LBw/bNDh0Y9547du/VVoX/3EPpTmza6\nMT7B9+fbd+/SgsLCRp0v0P6R3EHtg4LqbZPn8WhuQb6mZWUpo7zc0MhwrAsuKdWQzz73q+3q4Wdr\nT/fuR3SekKIiddy8WQm79yhu/345Dgv17qAg7e/SWZtPOUUl0dFHdI5AabN7t/ov/LbeNpak/DYJ\n2t67j3Z372Y0PLVmAQ8gO3bskCSNGjWq1uNDhgxRbGyscnNzdccddxA+UK9sT7mWFxc32O6UsDAF\n2WzyWJbWlpb41ffJoaG6Lq7l3muowOPRhrIy359tkuIdDiUHBSnG4dBVsXE6PzJKN6Sna7OrrO6O\ngFoUxMbKFRZa53FXWFidxxqSsGePev74kyTJa7OpJCJCpRHhcrrcCissVJDbrY6bNqv91m1aef55\nyqycEWxuBXFxcoUemnG1ezwKLSpSWFGxYjKz1O/bb5WwZ4/WDj+7GUfZegQ8gBRWfnpMTU2ts01q\naqpyc3ObfYdLenq6li9frr1790qSevfurXPOOadZx4Tqfiop0e/Td9bbpktwsD7rcoIkaXFxkfb7\nMSMQJGlK+yQ5bTYtLSrSkIiIQAw3oDaVldX6vYfbbBofn6A/tGmjeKdTjya111WVwR/w15YBp2hv\n165N0ndpZKR+HThQmSkdlZ+QIKvKhgJ7ebk6btqkE5ctl7O8XKd8/Y0WjrtK7tC6w5Apvw4erIxO\nNd+7Yg4cUN9vv1NUTo46bt6sjNRU7TuhSzOMsHUJeADxer0VHTvr7jqocno5uhmm3l577TV9/PHH\nWrZsmfbt21ft2Pjx4wkgx6DLomN8X3+Ql+fXc/7Qpo26h4RoRXGx3svLbZEBpC7FlqXnsjJ1Umio\nzo6MVJ/QMCU7g7SnnHUhaBmyk5KUnZRU6zGv06mdJ50kmyX1XrxYQS6X2m/frvQTTzQ8Sv/ltW2r\n1eeeozPfnyNJar9tGwEkAI67fa6vvfaaPvroI+3bt08dOnTQJZdc0txDwlGwSRpTGWTzPB6/1m/0\nCgnR+PgEubxePbR/n5pqD0qk3a6TQkLUMyRE4U1wzXh1yaFLTW2cjoD3DzSlAx0Pre0KDdC6q/D8\nfMXuz1BYQYEU4N1lBfHxcld+eA4pafiyMBrWZJVQMzIytGvXrlqPHdx6W1+bg9q1a+ebMQmE8ePH\na9KkSTrttNOUlJSk0tJShR3FtU40r9PDI3wLNj/Lz5e7gV86TlVcegmy2TQtK0tbXS71DGncLpuG\nJDmdujcxUedGRimoMniUeb36ND9fTxzICNh5Yh2HQscBFqLiGBNUZX1TaWTkUfXVYdMmdV+xUuFV\ngkxhTIx+HTxI+7sEZqbCXl4uZ+XPWVn4sTNj2pI1WQC56KKLAtLmxx9/1KBBgwIxJEnSDTfcELC+\n0PwujTl0+WVOXm6D7ScmJKhXaKi2uco0PTsr4OM5IThYr6ekqk3lJcjM8nLtcrvV1unU2NhY9Q4N\n1QtZmUd9ngSHQ6OjK25tsKmsVHsJIDgC4fn5Ci4pkcfpVGlEhLl1GJalrmvWSpLcwcHa36nTEXfV\nc9kydV37c0W3NpsK4uLkdTgUlZ2tAfMX6OczzwzIkDuvXy9b5QecjJSOAenzeNfk94IBmkqk3a7z\nKj85/VpWql/K6t8J0i04WDdXbrl9eN/+BmdLGssp6ZnkZLVxOlVaeXnnkyo3UxwSHq6pScm6NaGN\nX/1FOewaHHaoDoNNFXVRuoeE6DexsWrrdCrX49HD+/yr6wBU1Xfht3JUrtmTKraaFsTHaWevk7Tz\nxJ5SgCpRh+flKbSoSJIUVOZSeH6+Ujb9qsjcPLmDg7Xq3HOOeMdN4vYdvvCRlZSkNcPP9s2mONxu\n9Vq6TCctWaIyP+uZROVkqzzo0NtixS6YYiXu3Kl2lQu993bprD3duh3ReFFdwAPI7373Ow0fPjxg\n/bVv3z5gfaF1uTAqWqGVvyQbWnxql/Ro+yQF2+16PzdXPzbBNdzR0dHqWVnhdMr+/dXChyQtLS7W\nn/bs1pspde8Qq6pHSKj+W89usndyc/RCZqYym7hwGlonr8Oh4uholQcHV241LVJ0do76/PCDktLS\ntOKCkQEpvtXpl1/UZd36Go/v6NVLmwecclTFznr+VLHVtzgyUj9dMFKeKpfrPUFBWnfmGQopKVa7\nHfXvpPP1V7l1uDYlEeHaMHSo9nXuTB2QAAl4ALnjjjsC3SVQq8sqL7+4LavGm/3hboiP18lhYcos\nL9fTAVyHUdXoqIrFsHvdbs3Jrz0QrSop0ZLiYp3ux66bw+uASBWVWzsGBamN06lxsXFKCQrWvXv3\nKJsQAj94nA5tHnCK9pxwgoriqpckj8rKUq8lS9Vm714l7Nun/l9/o59GXXDU5yyOjlZWUsUHSafL\nrYi8PDnLy5W6YYPCCgu09uyzj2gGJDI7W1GV9xHb1vfkauGjqs0DBvgdQA6vAyJLCnKVKTI3T2FF\nxerz/SIFl5Ro50knNXq8qIlLMAFW9cZ6h8uto9wvGq9TUJD6V/7SWlhYWG/p9c5Bwb7LHk9mZCiv\nyrRzIPWtvH6+pLio3naLi4r8CiB11QGRKi7nPNo+ScMiIvS/1E4at2N7k31faD3coaHaPHBgrccK\nEhL044WjNfiLL9Vmzx4lpqcrfs8eZScnH9U5d/TurR29e/v+bPd41GHTZvVatkyJ6bs07MOPtPiy\nSxsdQmIzDvi+zuxQ95qM/DZt5AoJUXADl2iluuuAOMvK1H3lKnVZt059flgsp8utrf37NWq8qIkA\nEmDx8S23smZLEWm3q1dI7Yvdyiyv1paWNtjH5TH+1f6wSZqS1F6hdrsWFRXqs4L6Z0qOlENSfOXC\n090N3KclEPdxWVpcrHv27tFbqZ2UGhysmxPa6KkmmtlByxaVna2gOn5mimJiVNaIGjeW3a4NQ07T\nmXM+kCS137b9qAPI4bwOh9J7najSiAgNnjtX4YWF6rZylX45fVij+gmpUiG5OKr+XTTFUVF+BZC6\nlIeEaMPQIYrIy1Nierp6rFih3d27Neq1RU0EEBjXIySkzrUNu91ujdiaVu/zK2p/VASQzPJyfV9U\ndw2BvqGhGlC5kPPL/IJqizoP6lrlZnfdgkOUH1Yxk7C6tMTvharBVa4JN/ScQC1+XVlSor1ut5KC\ngnRBVBQB5DjVc/mPSkxPr/XYutNP186TejWqv4KEBN+MQaQfO8uO1IHUFBXExSkqJ0eJO3c2OoDY\nvRWznpZUrdJqbbyOwCyo3dOtqxLT02X3etV++w7t6M2lmKNBAAmw7OzsOo/l5ubqhBNOMDialqnA\n463z/i6ZfmwnHRoerqTK670f5+epvtUPjirBYEodlRmruqNtW9/X56Rt8ausuySVWJbclqUgm03R\n9vqLgsUE6JehJO0trwggSUFBCrLZAr6zBy1fQXy8HHVUwS2NOLIFnh6nUyork728adcWFcVEKyon\nR6F+3O/pcAcXyNokOV0ulddTz+doZj+qKok4NNMS3sC6MzSMABJgcYct7EJNm111r23wx2V+Xn6R\n6g87ByU4HOpa+ctrc1mZbz2Jq5Fv5ltdZeoZEqqTGqil0NDxxgizVYQZr2XJInwcl349dXBA+3O4\n3QqprLJb383qAiGozCWpohZIYxXGHvpdG5OZqaw67prtcLkUnheYsOCo8oHEYifMUSOA4JgSYbfr\nvMiKAlxrSkqU5nLV296fsDM6KkrPJFf88vp35gG/yrnXZklRsXqGhGpweLjaO53aV8vsSYjNpgui\noo6o/8NF2O06ofIX9x63W5QiQyB02LxZ9soFzdlNWAYhuKREsRkVlw3z2vpXG6eqnPbt5HE45PB4\n1GHzljoDSIctabIHKJwfHK9UMXuDo3Pc3QsGx7bRUVEK87P2h2nv5Ob4LsNMaZ+k2jYF3p+YqDhH\nYHL/nW3aKqTytZhXWBCQPtG6hRTVv0Mrfs8enbhsuaSKWYnd3bvXaGMvL1f8nj2K37NHkXXs+gtp\nYNbR6XKp/9ffyFE523gkN6IrDw7W7u4VBcE6bNmitjtruXN0Xp66r1ghbwCKqoXl56vz+op6Jh6H\nQxn11OiBf5gBwTHl4OWXEq9XnzfRjpYjtcPt1vSsTN3Wpq2GRUTo3c6d9XZOrtLdLrV1OnV5TKwG\nhYXp5ews3eJHNdTDK6FKUpBNSgkK1sXR0RpYWcAp3eXSjKzAl5VH63PWe++rOCpKmR07qiQyUmXh\nYfI4nQotKlLb9HS1375DNsuSZbPp57POrLU0e0hJiYZ89rkkac8JJ2j1eefWaHP27HdVFBOjAx07\nqCQyUq6wMJUHBSm4tFSxGQeUnLZFISUVO3fSe/TQ/s6dj+j7+XXwYLVNT1dYUbEGzvtKu3r21IGU\njvI6HIrNyFDndeuVnxAvWVLCYXc/r83hlVClistEsRn7lbrxVwVVzrhuHjCAHTABQADBMaNTUJBv\nR8uCwgIVtsC6F9OyshRis+vG+Hj1CAnVQ1WmsN2WpQf37VNGebmU0HBfDVVClaRlxUX6y9691ACB\nX0ojIhSTlaWYegJrUVSU1p15Rp2XNPw7T7hiMjMVk1n3fY/cQUFKO6W/tvbte8TncYeGavmFF2ng\nvHmKzMtT6saNSt240Xc8r02CVp17rk75+mu/+quvEqoklTud2jRokLaf3OeIx4xDCCA4ZvQJDfMt\nKJ0VwKJu2R6Pr9/6Cpr56x+ZB/R5Qb7GREerS3CIvJalrS6X5uTlaofbrZNDQ33nK63l2vSa0hLt\nrKNWSLllKd/jUZrLpe+LCv2qmQIc9P2VYxWRm6s2u3YpIi9focXFcrpdcgcHqzg6RllJScrs2KHe\nUuMeh8NX2bQwLrbWNt/95jeV59mtiLw8hZQUK8jlUrkzSCVRUcpNbKuM1NQ6q5c2RlFsjBaNvUJJ\naWlqs3u3gktKVRYWpsyOHbT3hBNkORzKT0ioHG/NTQKusDDf91OTrfJGfeHKbZuofV0617vbBo1j\ns46zpfO//PKLvq6ShsvLy3XnnXdKkoYOHaprrrnGdyw4OFg33XRTwM6dk5NDoTKgiT399NPNPQSg\n1SkuLtaDDz4oqaLcRCB2fB53MyCLFy/W7bffXuuxJUuWaMmSJb4/R0REBDSAAACACsddAOndu7du\nvfVWv9qGMNUGAECTOO4CyNChQzV06NDmHgYAAMc16oAAAADjCCAAAMA4AggAADCOAAIAAIwjgAAA\nAOMIIAAAwDgCCAAAMI4AAgAAjCOAAAAA4wggAADAOAIIAAAwjgACAACMI4AAAADjCCAAAMA4AggA\nADCOAAIAAIwjgAAAAOMIIAAAwDgCCAAAMI4AAgAAjCOAAAAA4wggAADAOAIIAAAwjgACAACMI4AA\nAADjCCAAAMA4AggAADCOAAIAAIwjgAAAAOMIIAAAwDgCCAAAMI4AAgAAjCOAAAAA4wggAADAOAII\nAAAwjgACAACMI4AAAADjCCAAAMA4AggAADCOAAIAAIwjgAAAAOMIIAAAwDgCCAAAMI4AAgAAjCOA\nAAAA4wggAADAOAIIAAAwjgACAACMI4AAAADjCCAAAMA4AggAADCOAAIAAIwjgAAAAOMIIAAAwDgC\nCAAAMI4AAgAAjCOAAAAA4wggAADAOAIIAAAwjgACAACMI4AAAADjCCAAAMA4AggAADCOAAIAAIwj\ngAAAAOMIIAAAwDgCCAAAMI4AAgAAjCOAAAAA4wggAADAOAIIAAAwjgACAACMI4AAAADjCCAAAMA4\nAggAADCOAAIAAIwjgAAAAOMIIAAAwDgCCAAAMI4AAgAAjCOAAAAA4wggAADAOAIIAAAwjgACAACM\nI4AAAADjCCAAAMA4AggAADCOAAIAAIwjgAAAAOMIIAAAwDgCCAAAMI4AAgAAjCOAAAAA4wggAADA\nOGdzD+B44vV6m3sIQKtXXFzc3EMAWp2SkhLf14F6L7NZlmUFpCc0aNu2bTrhhBOaexgAAByxrVu3\nqkuXLkfdD5dgAACAccyAGFReXq709HRJUnR0tOx28l9Llpub65ux2rp1q2JjY5t3QEArws/XscXr\n9So/P1+SlJKSIqfz6FdwsAbEIKfTGZBpK5gXGxuruLi45h4G0Crx83VsSEhICGh/fAQHAADGEUAA\nAIBxBBAAAGAcAQQAABhHAAEAAMYRQAAAgHHUAQEAAMYxAwIAAIwjgAAAAOMIIAAAwDgCCAAAMI4A\nAgAAjCOAAAAA4wggAADAOAIIAAAwjgACAACMI4AAAADjCCAAAMA4AggAADCOAAIAAIwjgAAAAOMI\nIAAAwDgCCAAAMI4AAgAAjCOAAAAA4wggAADAuP8P9eIXkTwTOyIAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Calculate the mode overlap between waveguides\n",
        "overlap = strip.mode_solver.data.outer_dot(rib.mode_solver.data, False)\n",
        "\n",
        "# Show the overlap at the central frequency\n",
        "f = strip.mode_solver.freqs[strip.wavelength.size // 2]\n",
        "\n",
        "fig, ax = pyplot.subplots(1, 1, figsize=(3, 3), tight_layout=True)\n",
        "\n",
        "ax.matshow(np.abs(overlap.sel(f=f).values), cmap=\"gray\")\n",
        "ax.grid(False)\n",
        "\n",
        "for mi0 in overlap.coords[\"mode_index_0\"]:\n",
        "    for mi1 in overlap.coords[\"mode_index_1\"]:\n",
        "        ovl_dB = 20 * np.log10(np.abs(overlap.sel(f=f, mode_index_0=mi0, mode_index_1=mi1).item()))\n",
        "        ax.text(mi0, mi1, f\"{ovl_dB:.2g} dB\", ha=\"center\", va=\"center\", color=\"tab:red\")\n",
        "\n",
        "ax.set_ylabel(\"Rib mode index\")\n",
        "ax.set_xlabel(\"Strip mode index\")\n",
        "ax.xaxis.set_label_position(\"top\")"
      ],
      "id": "8e94953c"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Qr+GJJ55oP7aCIpE2cOBAud1ueTwe/fjjj1E5Z7iefvppezvLSZMmBdyq1DJ0\n6NCwtpcIV2mhqVjNI0TivIWFhbr00ktVWFioPn36hPw31SnxNI9gbQlRmp49e+rPP/+UJI0ZMyZo\nWMR3zuGvv/4KeW7f2n1fEwDxh8ACAMQh34uXYcOGOdZvqD3Lli1bZj8++eSTQ15k169fX8cee6wW\nLFhgP9/35vOpp56qXr16acGCBZo9e7aaNWumk046SX379tWxxx6r4447zi+JHIgTfYTLiXP5pvMX\nLlyok08+2f7aujHse4PYNE074CCpxCeGfd8LgwcPDnkzL9qcfs8U5xsiKU3Dhg3tx058Gt80TS1Y\nsEBz5szRH3/8oaysLOXk5Mjr9dptrD0lJWnbtm1xEVjYu3evTjvtNGVmZqp58+aaNm1ayJU2+vXr\nF/Fx+b5nCwsLw3qO72on4azIUNnt2LHDfuzUv3fldcwxxwQ97vuJsQ4dOig9PT1ke2sP2QMHDoT8\nFItv/Tt37gw+WAAAgCSxYsUK+0Zbo0aNyrV3eyBHHnlkyBC/7zXhoEGDQvY5aNAg++az73MtEyZM\n0BdffKH8/HxdffXVevDBB3XqqaeqZ8+e6tatmzp37hwyjOFEH+Fy4ly+8wh33HGH/Tt08bkD37+t\nm3ter1dbt27V4YcfbreN1JySU5x+zxQXah7B6TkEqeh6fPr06Vq6dKnWrVun/fv3Kz8/P+B/w23b\ntjlyTid8/vnn9gdjrrnmGv3zn/8M2r5JkyZq0qRJxMcVq3mESJz34Ycf1i+//KL09HS98sorjv3b\nE4rv9XIizSOUpW04P7/MIQCJg8ACAMQh35tTbdu2dazfUMs9+t44b926dVh9tm7d2r75vGvXLr9j\nLpdL06dP1/jx4/X2228rNzdX06ZNs1cTcLlc6t69u8aMGaPLLrss4M1VJ/oIlxPnspZdlKR169Zp\n3bp1ZRrD3r17/b6O1HvBKU6/Z4qrVatWyP58l1+s6PYMM2fO1HXXXaeVK1eG/Zzi/81ioaCgQGef\nfbaWL1+uWrVqafr06XHzyXPfT8vk5OSE9RzfdtHa3iSeHTx40H4cbJWcaAj26SdJfpMvodpKZf/5\n9f30SrjvJwAAgMouVnMIUtmvCX3bZGVlyTRNv+B7jx499NVXX+nqq6/WH3/8oY0bN+rll1/Wyy+/\nLKno5tOQIUM0bty4UrdydKKPcDlxLt95hLlz55Z5DJV9HiHUe6a4UPMITs4h5Ofn6+6779YTTzwR\n9haV8TCHIBUtpz9mzBh5vV6dccYZeuqpp2I9JJvvtaTvqgfBODGP4PR5V6xYofvuu0+SdNddd+nI\nI48s17jKqqCgwC9wUZnmEZhDACqv6MS5AABl4nuR4+QvlaE+ne973lCfirX4ji/QxVmdOnX0xhtv\naMOGDXr66ad17rnn2kv2e71eLVy4UOPHj1e7du00Z86cgOdwoo9wVfRcFV2+3vdT/FLk3gtOicR7\nJlY+/fRTDRkypExhBSn81H0kjRs3Tt9++61SU1P18ccf66ijjor1kGy+n8jKy8sLK9Huu6xfRfaT\nrSx8t/WIh/dbLPl+eiXeVpwBAACIlVjNIUhFN2wt4VwT+o7P6/X6/X5n6devn5YvX67vvvtOt912\nm/r372/fxNqzZ4+mTJmik046ScOGDSv1E7ZO9BGuip4r3BujpSk+j5CXl2c/jsd5hEi8Z2LBNE2d\nc845euihh8o0txEP13Tr1q3TGWecoZycHB133HGaMmWK343gWPOdRwh32w4n5hGcPK/X69Vll12m\nvLw8HXPMMbrlllvKNabyKL41aDy852KFOQQgcbDCAgDEoXr16mnTpk2SiparCrZkvpN8l8kK9cn3\nQO2CLeXdrFkzXXvttbr22mslSZmZmfrqq6/06quv6vvvv9fWrVt1+umna/ny5aXur+hEH+Eq77l8\nX4Orr75a5557bpnOW3xpPd+LpXhcuiyS75loys/P15VXXmmns+vWravhw4era9euatq0qWrWrKm0\ntDT7UxzPP/+8Pvjgg1gO2XbXXXfprbfekiS99NJLftuQhHLSSSdV+BMlvmbMmFFin8fDDjtMNWvW\ntCfmVq5cqQYNGgTtxzc00qFDB8fGl6h8PyEUiU8EFJ/gjGe+k7nhrOAAAACQDGJ53VirVi3t2bNH\nUtG1Xqi90n2vB6tVq1bq0u2GYahv377q27evpKJP0v7888/67LPP9OKLL2r79u363//+p3Hjxun9\n99+PWB/hqsi56tSpo927d0squqYqa8igffv2fl/XrVvXfp137typ5s2bl7esiIjUeyba3n//fU2d\nOtX+ukuXLhoyZIiOOOIINWjQQFWqVPG7QTpkyJC4+NDG7t27ddppp2nbtm1q1aqVpk6dqurVq4f1\n3GnTpmnSpEmOjeWUU07RhAkTSnzfdx4gnA+VZGdn+wUMyjuP4OR5f/zxR82fP19S0Yebgs3V/Pbb\nb/bj559/3n5fdezYUc8991z4BfzNMAzVqFHD/lBVTk6O30oDFcUcAoBIILAAAHGodevW+uWXXyRJ\nCxYsUK9evaJyXt+L2J9++ims5yxdujTg80Np0qSJLrroIl100UUaO3asJk+erAMHDujll1+2l0uL\nRh9Oj7dly5b244MHD6p///4VOq/v0ofWNgrxJJrvmUiaPXu2vQxn+/btNW/evKCJ/DfeeCNKIwvu\n9ddft99/d999ty6++OIyPX/OnDmOBhZK6+uoo46y379z5sxRnz59gvYze/Zsv+cmu8MOO8x+vHXr\n1jI9N5xPH1mTo4nAt/54+fcDAAAg1nyvG3///Xft27cvrO31nNC8eXP75vNPP/0U8uZzea8H3W63\njj32WB177LG6/PLLdcwxxygrK0sffPCBHn30Ub/fmSPZRyTG27JlS/t38rp16+r444+v0Llbt25t\n3+RfsGBB3P3eHK33TKT5fojhjjvuCDoPlZubGxdhhby8PJ155plasWKF6tSpo+nTp4e19YslMzOz\nwiub+irtZ+7oo4+2Hy9fvlw7d+4M+sGH7777zr6JXqNGDXul1LJy8ry+8yOrV6/W6tWrwxrD2rVr\ntXbtWkkVW5X0sMMO04oVKyQVXUeH+uCIJZw5BN9tXeIdcwhA4mBLCACIQ/369bMfv/zyy47eUAym\nZ8+e9uOZM2f67aMYyOzZs+2VINxut7p3716u815wwQX242XLlsWsDyfONWDAAPvxJ598UuFf4n3f\nC3PmzNEff/xR7r58k/1Ovadi9Z5x2po1a+zHF110UdCwQmFhob799tuQfUbi9fY1c+ZMXXnllZKk\nsWPH6p577nH8HE4ZMmSI/fjtt9+WaZqltp09e7Y2btwoqeg9cuqpp0Z8fPHOd9/ZDRs2lOm5oSZF\nli9fXuGtbKLF6/Xay2263e5yT0IBAABUNo0bN7Y/ZV9YWKhXXnklauf2vSZ85513Qra3Vocr/tyy\naN68ud+18q+//hqTPpw6l+88ghP/7XzP9cILL1Sor0jPI0TrPRMJvvMI//jHP4K2/fLLL8PqM5Lz\nCKZp6pJLLtF3332ntLQ0ffLJJ3G7ouHRRx9thxlM09Tbb78dtP2bb75pPx4yZIi9OmainDcSyjuP\nsGHDhpBbSCxcuLDc44o2a35J8n9NAMQfAgsAEIdGjx5t7+O3YsUK3XzzzVE5b9euXe1f3vLz83Xd\nddeVemMxOztb119/vf31kCFDSiwhN3ny5LASxL6/OBffM8+JPsLlxLmOOOIIe0WMvXv36pJLLgkr\nnZyTk6NHH320xPfbtm2r3r17Syq6WXfBBRdo3759IfsLxPcTNpmZmeXqozin3zOx4ntRuW7duqBt\n77nnHjt0EUwkXm/Lr7/+qhEjRqigoEAnnXRSuSe1vvnmG82aNcuxP8W3g7Cce+659mv8xx9/6KWX\nXgrYrqCgQLfeeqv99YABA9SoUaNy1VaZdOvWzX68fPnyMj331VdfDbpc44MPPljucUXbmjVrdPDg\nQUlFS2OW9n4DAABIRhdddJH9+K677vL7VHokjRw50n78/vvv6+uvvy617Zdffun3qXTf50pFnyZ+\n7LHHlJ+fH/K8vjehfK/LnegjXE6d66KLLrKvl1577TV98sknYZ3/t99+C9h27Nix9uNZs2YFnGsI\nVySua518z8RSuPMIu3bt0i233BJWn5GcR7j99ts1ZcoUGYah1157rVwrgg4dOtTROYRA20FIRa+t\n73/rhx56SNu2bQvYdt68efroo4/sr0eNGlXmuiJx3o4dO4b9OviuQnnVVVfZ3y/PdhCW8s4jZGdn\n69133y31+ObNmzV58uRyjyvafANixx57bAxHAiAkEwAQl2688UZTkv1n+PDh5s8//1yiXXZ2tvnp\np5+a119/fcB++vTpY/exbt26kOd9/vnn/c47YsQIc8OGDX5tli5danbv3t1uYxiG+d1335Xo6/zz\nzzdTU1PNMWPGmDNnzjQPHjzodzw3N9d85513zLp169p93XfffY73ES6nzjV79mzT5XLZbbp27Wr+\n73//M/Pz8/3aeb1e87fffjPvuOMOMyMjw6xdu3bAcX399demYRh2f+3btzc/++wzs6CgoER/CxYs\nMG+77TZz+fLlJfpZunSp3UfTpk3NLVu2hHxNJk+ebD9nwoQJAds4+Z4xTdN88MEH7XZPP/10yDEO\nHz7cbv/TTz+FbB/I999/b/fhdrvNp556qsR//9WrV5tjx471q1WS+eGHHwbsszyvdzg2b95sHnbY\nYaYk86ijjjL37NnjSL+RNnr0aPv1SEtLM5966ikzLy/PPr5x40ZzyJAhfq/t3LlzS+1v8ODBZr9+\n/cx+/fqZ33zzTZnGMmvWLPs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AOpBbXgF9K6WqzLZUACAAAAAArBt0Z+smWuU85hhaVLl+q9997T2rVrtX79elVUVGjMmDHaZptt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\nbbbZJpBx//Wvf6m+vr7H88aPH6/dd9+9V2PmqtaeO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PPlsHDx6U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175t7/HYHjbo9dt/A/9dsYZZ8QznvGMyPM8Dj300Dj77LOX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\noDpFklTy/NesAAAAw1fV/L93/N80GhZghYZdt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QrQXIN+/nunFQAA1Ecl4/98um/HHyV2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\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css5106a5L+DNmzfHXe5ylyXtr0hzFS1M/16xAjBKxrvlPpcZAOqi3/+fmH/8A2XKx+bj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\nABgR0/v/4+MKF6ApjP8BAKA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WSWd1JJ3tk5edZDzaSa+KUwMAAArWTnrRTbdW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\nWqPaWC32pjVqN6uc/PLLL39Ofvnll386+Ucz//T+fzuyaLV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          }
        }
      ],
      "source": [
        "freqs = strip.mode_solver.freqs\n",
        "source_time = td.GaussianPulse(freq0=0.5 * (freqs[0] + freqs[-1]), fwidth=abs(freqs[0] - freqs[-1]))\n",
        "\n",
        "src_gap = 0.5\n",
        "mode_src = td.ModeSource(\n",
        "    center=(-0.5 * length - src_gap / 2, 0, 0),\n",
        "    size=(0, td.inf, td.inf),\n",
        "    source_time=source_time,\n",
        "    num_freqs=5,\n",
        "    direction=\"+\",\n",
        "    mode_spec=strip.mode_spec,\n",
        "    mode_index=0,\n",
        ")\n",
        "\n",
        "strip_mnt = strip.mode_solver.to_monitor(freqs=freqs, name=\"strip\")\n",
        "\n",
        "rib_mnt = rib.mode_solver.to_monitor(freqs=freqs, name=\"rib\")\n",
        "\n",
        "field_mnt = td.FieldMonitor(\n",
        "    center=(0, 0, 0.5 * strip.core_thickness),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=freqs,\n",
        "    name=\"field\",\n",
        ")\n",
        "\n",
        "sim_size = (length + 2 * src_gap, strip.width, strip.height)\n",
        "sim_center = (0, 0, strip.mode_solver.plane.center[2])\n",
        "\n",
        "sim = td.Simulation(\n",
        "    size=sim_size,\n",
        "    center=sim_center,\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20),\n",
        "    structures=strip.structures + rib.structures,\n",
        "    sources=[mode_src],\n",
        "    monitors=[strip_mnt, rib_mnt, field_mnt],\n",
        "    run_time=1e-12,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        ")\n",
        "\n",
        "fig, ax = pyplot.subplots(2, 2, figsize=(11, 10), tight_layout=True)\n",
        "sim.plot(z=0.5 * strip.core_thickness, ax=ax[0, 0])\n",
        "sim.plot(z=0.5 * rib.slab_thickness, ax=ax[0, 1])\n",
        "sim.plot(x=-0.5 * length, ax=ax[1, 0])\n",
        "sim.plot(x=0.5 * length, ax=ax[1, 1])\n",
        "pyplot.show()"
      ],
      "id": "c27c04be"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:35:41 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'untapered'</span> with resource_id                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-19703474-073d-4e7a-844b-af5b6690315f'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-19703474-073d-4e7a-844b-af5b6690315f\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-19703474-073</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-19703474-073d-4e7a-844b-af5b6690315f\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">d-4e7a-844b-af5b6690315f'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"e4e707b73d634d7aba9a5321a43c1157\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:35:43 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.123</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
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              "<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\">15:35:53 UTC </span>status = preprocess                                                \n",
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              "<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\">15:36:02 UTC </span>starting up solver                                                 \n",
              "</pre>"
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        },
        {
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          "metadata": {},
          "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\">15:36:03 UTC </span>running solver                                                     \n",
              "</pre>"
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        {
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          "metadata": {},
          "data": {
            "text/html": [
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              "<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\">15:36:15 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span>%, exiting.                            \n",
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:36:23 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-19703474-073d-4e7a-844b-af5b6690315f\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-19703474-073</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-19703474-073d-4e7a-844b-af5b6690315f\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">d-4e7a-844b-af5b6690315f'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"1adb71d355c24ea7ac733e13fd4f757d\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:36:26 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
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        }
      ],
      "source": [
        "# Run the simulation and download the resulting data\n",
        "data = web.run(sim, task_name=\"untapered\", verbose=True)"
      ],
      "id": "9f0a9e77"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "_ = data.plot_field(\"field\", \"Hz\", val=\"abs\", f=f)"
      ],
      "id": "da8853ee"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Looking at the power transmission, we see almost the same result as\n",
        "obtained from the overlap calculation:"
      ],
      "id": "df2ce111-774a-4279-b614-6e2070acdf16"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Nn+vq6lJXV1fSsdtSfX19q59hXWbeUzTmPEVjzlNE5j1Fs7bP+VLnBmUPw9ZV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\nwyTJSy+91OL6nXfemSTZZ59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+leT9rarHH398q/UAAAAArE2EYSX0wx/+MBtvvHEaGhoy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\nZPbbb7/MmTMnt9xyS958880kyY9//ONlnsF16aWX5qWXXkrPnj1z5pl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ugDJRfeXo6Igh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\nTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "rib_transmission = data[\"rib\"].amps.sel(direction=\"+\", mode_index=0)\n",
        "fig, ax = pyplot.subplots(1, 1)\n",
        "ax.plot(rib.wavelength, 20 * np.log10(np.abs(rib_transmission.values)), \".-\")\n",
        "ax.set(\n",
        "    xlabel=\"Wavelength (μm)\",\n",
        "    ylabel=\"Transmission (dB)\",\n",
        "    ylim=(-0.1, 0),\n",
        ")\n",
        "ax.grid()"
      ],
      "id": "4e35fa29"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We can look at the first quasi-TM mode as well:"
      ],
      "id": "5508bf25-fa1f-46aa-bf27-8ce2edca9b13"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:36:27 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'untapered_tm'</span> with resource_id                       \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-d10c1d11-1b46-439f-9af4-8191ecf11fbe'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-d10c1d11-1b46-439f-9af4-8191ecf11fbe\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-d10c1d11-1b4</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-d10c1d11-1b46-439f-9af4-8191ecf11fbe\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">6-439f-9af4-8191ecf11fbe'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"839be3964e784e3780cfc5844822d90c\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:36:29 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.123</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
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          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"61b88771bb1143d0873562f12866a17b\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
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          "metadata": {},
          "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\">15:36:41 UTC </span>status = preprocess                                                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:36:48 UTC </span>starting up solver                                                 \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"18225421bbbb4a718d12baf166e83072\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:37:03 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span>%, exiting.                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = postprocess                                               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"a4fdd9cfdd3242b0b8113a9d63530e2b\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:37:06 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:37:08 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-d10c1d11-1b46-439f-9af4-8191ecf11fbe\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-d10c1d11-1b4</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-d10c1d11-1b46-439f-9af4-8191ecf11fbe\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">6-439f-9af4-8191ecf11fbe'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"1528b2ab80f34833b9de93327bb37ede\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:37:11 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
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          }
        }
      ],
      "source": [
        "# mode_src_tm = mode_src.copy(update={\"mode_index\": 1})\n",
        "mode_src_tm = td.ModeSource(\n",
        "    center=(-0.5 * length - src_gap / 2, 0, 0),\n",
        "    size=(0, td.inf, td.inf),\n",
        "    source_time=source_time,\n",
        "    num_freqs=5,\n",
        "    direction=\"+\",\n",
        "    mode_spec=strip.mode_spec,\n",
        "    mode_index=1,\n",
        ")\n",
        "\n",
        "sim_tm = sim.copy(update={\"sources\": [mode_src_tm]})\n",
        "data_tm = td.web.run(sim_tm, task_name=\"untapered_tm\", verbose=True)\n",
        "_ = data_tm.plot_field(\"field\", \"Ez\", val=\"abs\", f=f)"
      ],
      "id": "7db8d4cc"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Xz7HHHptf/OIXuf766/Ob3/wmd955Zz71qU9l2223zQ477NCVJQMA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\nqmalpaXZb7/9kiQ1NTX54he/2O5i5Pv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SDB06tGUB8Z/+9KeZNGlStttuuzah1BZbbNHp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\nhdXRI/GYgAoAAKD7DR48uGV71qxZBVYCrExa/75o/XukpxU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AQMdW5UWke5PG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\nRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "rib_transmission = data_tm[\"rib\"].amps.sel(direction=\"+\", mode_index=1)\n",
        "strip_reflection = data_tm[\"strip\"].amps.sel(direction=\"-\", mode_index=1)\n",
        "\n",
        "fig, ax = pyplot.subplots(1, 1)\n",
        "ax.plot(rib.wavelength, 20 * np.log10(np.abs(rib_transmission.values)), \".-\", label=\"Transmission\")\n",
        "ax.plot(rib.wavelength, 20 * np.log10(np.abs(strip_reflection.values)), \".-\", label=\"Reflection\")\n",
        "ax.set(\n",
        "    xlabel=\"Wavelength (μm)\",\n",
        "    ylabel=\"Power (dB)\",\n",
        "    ylim=(None, 0),\n",
        ")\n",
        "ax.legend()\n",
        "ax.grid()"
      ],
      "id": "a6c8777c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## A Note about Accuracy\n",
        "\n",
        "By default, the waveguide class uses `grid_resolution = 15`. This value\n",
        "is enough for quick mode solving with effective indices relatively\n",
        "accurate (usually within 10% of the best estimate). If higher accuracy\n",
        "is desired, `grid_resolution` can be increased to higher values, for\n",
        "example, to improve the calculation of derived values (group index,\n",
        "coupling length, mode losses, etc.).\n",
        "\n",
        "Another important factor for accuracy is subpixel averaging, which\n",
        "smooths the material interfaces on the Yee grid and greatly improves the\n",
        "convergence of the effective indices with respect to grid resolution.\n",
        "The mode solver applies subpixel averaging automatically when the\n",
        "`tidy3d-extras` package is installed (`pip install \"tidy3d[extras]\"`),\n",
        "with the whole calculation running locally. Alternatively, the mode\n",
        "solver can also be run in the cloud with\n",
        "`web.run(wg.mode_solver, task_name=\"mode_solver\")`, in which case\n",
        "subpixel averaging is applied as well.\n",
        "\n",
        "To see the effect of subpixel averaging, we can disable it by setting\n",
        "`td.config.simulation.use_local_subpixel = False`. Below we compare the\n",
        "effective indices calculated with and without subpixel averaging as a\n",
        "function of grid resolution:"
      ],
      "id": "705c41c2-3719-49a1-9b10-9def0ebe7ac6"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Solving for resolution = 15\n",
            "Solving for resolution = 18\n",
            "Solving for resolution = 21\n",
            "Solving for resolution = 24\n",
            "Solving for resolution = 27\n",
            "Solving for resolution = 30\n",
            "Solving for resolution = 33\n",
            "Solving for resolution = 36\n",
            "Solving for resolution = 39\n",
            "Solving for resolution = 42\n",
            "Solving for resolution = 45"
          ]
        }
      ],
      "source": [
        "wg_base = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.22,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        "    sidewall_angle=np.pi / 18,\n",
        ")\n",
        "\n",
        "grid_resolution = np.arange(15, 46, 3)\n",
        "n_eff = ([], [])\n",
        "\n",
        "for res in grid_resolution:\n",
        "    print(\"Solving for resolution =\", res, flush=True)\n",
        "    td.config.simulation.use_local_subpixel = True\n",
        "    wg = wg_base.copy(update={\"grid_resolution\": int(res)})\n",
        "    n_eff[0].append(wg.n_eff.values)\n",
        "    td.config.simulation.use_local_subpixel = False\n",
        "    wg = wg_base.copy(update={\"grid_resolution\": int(res)})\n",
        "    n_eff[1].append(wg.n_eff.values)\n",
        "\n",
        "# restore subpixel averaging\n",
        "td.config.simulation.use_local_subpixel = True\n",
        "\n",
        "n_eff = [np.squeeze(n) for n in n_eff]"
      ],
      "id": "b0cd706b"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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CFxcX1K5dW2wrl8sxadIklcmd5ORkuLq64u7du+IxAwMDNG/eHJ07d0a1atUU2i9atAg/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AAA0GA5pWFn0qRJ8vPz0y+//KIXX3zxrHM/++wzvfzyy5KkO+64wxnxAMep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\nUL9YrdK2b4xjvSeYkwWO0Wu8sd7+nVRSYkoUAADgugoKCnTw4EElJSU59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sB52g6UmrUt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t+QG47FW+x3AneanA4URxbfSDUqKcFxoJ9J4AHNyorm1fCFzNw1VkIxveEEcChscC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9X7MFstLkZNjSGGn8y1vlZsydzX4GNoVOoaqgJVrQikqx760VUPFFVd1qjUzWaa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\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          }
        }
      ],
      "source": [
        "_, ax = pyplot.subplots(1, 2, tight_layout=True, figsize=(12, 4))\n",
        "\n",
        "for i in range(2):\n",
        "    ax[i].plot(grid_resolution, n_eff[0][:, i], label=\"Subpixel on\")\n",
        "    ax[i].plot(grid_resolution, n_eff[1][:, i], label=\"Subpixel off\")\n",
        "    ax[i].legend()\n",
        "    ax[i].set(xlabel=\"Grid resolution\", ylabel=\"Effective index\")\n",
        "    ax[i].grid()\n",
        "\n",
        "ax[0].set_title(\"Quasi-TE mode\")\n",
        "ax[1].set_title(\"Quasi-TM mode\")\n",
        "pyplot.show()"
      ],
      "id": "6643bccc"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Waveguide Bends\n",
        "\n",
        "Waveguide bends can be modeled by setting the appropriate attributes in\n",
        "the mode specification."
      ],
      "id": "5744c3fe-b188-4cdb-911f-51c83b60fb82"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Complex effective index: 2.44394+5.30488e-05j"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AB4FgUyAABQIg0aNNB1110nqeA0y/nz59unC5Z1eqVU\ncBRWSkpKmeN4s+TkZPt2/tcLAAAAz6JABgAASixvMfqff/5ZmzdvlvS/YlmTJk3Ut2/fMsdu0qSJ\nffv48ePlyPJ/cnJyXBLHVfK/rvyvFwAAAJ5FgQwAAJTYtddeq5iYGEkXC2MHDhzQihUrJF1c6N7f\nv+xfLWJiYtSoUSNJ0k8//VSifc6fP1/kdMwjR46UOR932LRpk6SL0ytjY2M9nA0AAADyUCADAAAl\n5u/vr7vvvluSNGvWLP3rX/+SMUb+/v668847yx3/qquukiTFx8eXeJ9169Y5fD4rK0tLly4td06u\ntHHjRklS79695efn5+FsAAAAkIcCGQAAKJVx48apSpUqSk9P15QpUyRJ/fv3V3R0dLljDx48WJK0\nffv2Ei/U//DDD2vPnj0FnsvMzNQdd9xhXxvtzJkzys3NLXd+5ZGenq5t27ZJ+t/rBAAAgHegQAYA\nAEolKipKw4YNkyQZYySVb3H+/EaOHKmIiAjl5ORozpw5xfYPDAzUmTNn1K5dO/Xu3Vu33367hg4d\nqsaNG2vevHnq1KmTpIsFswEDBuiNN95wSZ5lMW/ePGVnZ6tmzZq65ZZbPJYHAAAACqNABgAASi1v\nsX5JioyM1NChQ10SNygoSGPHjpUkffrpp8X2DwgI0KJFi9SwYUOtWbNGcXFxWrhwoTIyMvTYY49p\n5cqV9pFtK1assK+X5gmfffaZJGnMmDEKCQnxWB4AAAAoLNDTCQAAAN/Ttm1b+/btt9+uqlWruiz2\nhAkTNGXKFK1bt047d+4sdjH7Tp06KSEhQevXr9fBgwcVEhKibt26qV69epIu3nFz6dKlCg8P19VX\nX23fr0OHDvY7cNatW9dp/Mcee0w333xzkVNIo6Oj7bFatWpVqH3v3r36/vvvFRAQoIceeqjI1wMA\nAICK52fy5kYAAACU0KRJk/Tkk09Kkn799VeX35Hx8ccf15tvvqlRo0bpiy++KNQ+efJkPfHEEwoK\nCtK5c+dcemx3uOOOO/TZZ5/p/vvv1zvvvOPpdAAAAPAHTLEEAAClYozRRx99JEnq2bOny4tjkjRx\n4kRFRERo7ty52rFjh8vjV6Tdu3fr888/V1hYmF544QVPpwMAAAAHmGIJAABK5cMPP9SuXbskSY88\n8ohbjhEeHq4FCxbot99+0/nz591yjIpy9uxZvffee2rZsqUiIyM9nQ4AAAAcoEAGAACKNXPmTK1Z\ns0YHDx60L3TfrVs3jRgxwm3H7Nmzp3r27Om2+BXlsssu02WXXebpNAAAAFAECmQAAKBYa9as0Ycf\nfmj/+bLLLtPs2bPl5+fnwawAAAAA16BABgAAinXnnXeqW7duqlatmlq0aKGuXbt6tDg2YMAAhYeH\nKzCQrzIAAAAoP+5iCQAAAAAAAEvjLpYAAAAAAACwNApkAAAAAAAAsDQKZAAAAAAAALA0CmQAAAAA\nAACwNApkAAAAAAAAsDQKZAAAAAAAALA0CmQAAAAAAACwNApkAAAAAAAAsDQKZAAAAAAAALA0CmQA\nAAAAAACwNApkAAAAAAAAsDQKZAAAAAAAALA0CmQAAAAAAACwNApkAAAAAAAAsDQKZAAAAAAAALA0\nCmQAAAAAAACwNApkAAAAAAAAsDQKZAAAAAAAALC0/wMeWxWnpGhHggAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "bend = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.22,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        "    mode_spec=td.ModeSpec(\n",
        "        num_modes=1,\n",
        "        bend_radius=5,\n",
        "        bend_axis=1,\n",
        "        num_pml=(12, 12),\n",
        "    ),\n",
        ")\n",
        "\n",
        "fig, ax = pyplot.subplots(1, 1, tight_layout=True)\n",
        "bend.plot_field(\"Ey\", mode_index=0, ax=ax)\n",
        "\n",
        "print(f\"Complex effective index: {bend.n_complex.item():g}\")"
      ],
      "id": "aa14c2b8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s create a helper function to convert the imaginary part of the\n",
        "complex effective index into loss in dB/cm:"
      ],
      "id": "f2522774-12ec-4c84-9f8c-ca5e59d8b3cf"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Curvature loss: 18.7 dB/cm"
          ]
        }
      ],
      "source": [
        "def loss_dB_per_cm(n_complex):\n",
        "    alpha = 2 * np.pi * n_complex.imag * n_complex.f / td.C_0  # µm⁻¹\n",
        "    return 1e4 * 20 * np.log10(np.e) * alpha  # dB/cm\n",
        "\n",
        "\n",
        "print(f\"Curvature loss: {loss_dB_per_cm(bend.n_complex).item():.1f} dB/cm\")"
      ],
      "id": "273596b3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We can put it all together to plot loss as a function of bend radius."
      ],
      "id": "e785d341-8ce4-448e-a443-8d9f5193b77b"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Solving for radius = 5.00"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:38:19 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode field at frequency index </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span><span style=\"color: #800000; text-decoration-color: #800000\">, mode index </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #800000; text-decoration-color: #800000\"> does not    </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">decay at the plane boundaries.                                     </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Solving for radius = 6.46"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">15:38:23 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode field at frequency index </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span><span style=\"color: #800000; text-decoration-color: #800000\">, mode index </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #800000; text-decoration-color: #800000\"> does not    </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">decay at the plane boundaries.                                     </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Solving for radius = 8.34\n",
            "Solving for radius = 10.77\n",
            "Solving for radius = 13.91\n",
            "Solving for radius = 17.97\n",
            "Solving for radius = 23.21\n",
            "Solving for radius = 29.97\n",
            "Solving for radius = 38.71\n",
            "Solving for radius = 50.00"
          ]
        }
      ],
      "source": [
        "radii = 5 * 10 ** np.linspace(0, 1, 10)\n",
        "bend_data = []\n",
        "for radius in radii:\n",
        "    print(f\"Solving for radius = {radius:.2f}\", flush=True)\n",
        "    bend = waveguide.RectangularDielectric(\n",
        "        wavelength=1.55,\n",
        "        core_width=0.5,\n",
        "        core_thickness=0.22,\n",
        "        core_medium=si,\n",
        "        clad_medium=sio2,\n",
        "        mode_spec=td.ModeSpec(\n",
        "            num_modes=2,\n",
        "            bend_radius=radius,\n",
        "            bend_axis=1,\n",
        "            num_pml=(12, 12),\n",
        "        ),\n",
        "    )\n",
        "    bend_data.append(bend.mode_solver.data)"
      ],
      "id": "5a5bbfb1"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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HjRs3Tm+++aYCAwMLXWPhwoVq0aKFXn31VYWHh2v58uWmsebNm2vu3Lnq1atX\nhX4dAADA9pzPTNNfZw6XS/eERkH11L5BC7onAAAAiwj2vjKwQIcFAAAAALiSTQUWnnrqKd1+++3F\nnl+rVq0Cz8+cOVNJSUlydnYuVR0jR45Uo0aNJEn+/v5XmV0+awwdOlRDhw7V/v37dfz4caWnpyso\nKEidO3eWl5fXVa+3s7PTE088oUcffVS///67wsLC5OzsrCZNmqhVq1al+hoAAAAuZ9Y94dRB7T51\nQEfOnSpz94QODVqpfYMWdE8AAAAWla/DQjKBBQAAAAC4kk0FFgYOHFgu64waNapM13fq1EmdOnWy\nyhqtW7dW69atS31fR0dHde/evdTXAwAAXHI+M037zhy62D3h1EHtPX1QiWkppVqrUVA9dQhtaeqe\n0CSkAd0TAACAVQX7mH/AhA4LAAAAAJCfTQUWAAAAYB1Go1Eno89q96kD2nv6nzJ1T/BwcVP7+i3U\nIbSVOjRoqQ6hLeTrTvcEAABQueTvsBBnpUoAAAAAoPIisAAAAIByR/cEAIAtyc3N1aFDh/Tnn3/q\njz/+UFhYmIxGozp27KiZM2cWe53IyEitXbtWe/fuVVxcnAwGgwIDA9WxY0cNHz681NtKFubAgQPa\nsGGDjh8/rqSkJNWqVUvNmjXTiBEjVLNmzQKvmTp1qnbv3n3VtVu3bq033nijXOutakKuCCxEJ8XJ\naDTKYDBYqSIAAAAAqHwILAAAAKBMLu+esOf0QVP3BKPRWOK1Lu+e0DG0pdo3oHsCAKBymzp1qt57\n7z2dP3++1GsYjUa98MILev3115WdnZ1v/OOPP9Zjjz2m6dOn68knnyxLuZKk8PBwPfTQQ9qwYUOB\n44899phmzpyp5557Lt/Y7t27tWnTpqveIzMzs8x1VnUeLu5yd3ZT2oV0SdKFnCwlpqXIz4O/2wAA\nAADAJQQWAAAAIElKz8rUyh3fatGfK5RyIU1LT/6gEdf21fBr+8nNycU0LzUjTfvO/KPdpw5qz+my\ndU9oHFzvYjihQUt1CG2lJiH16Z4AAKhSTpw4ofT0dLVo0ULXXnutrr32Wj3zzDNKSSn+/xv/97//\nadasWZKkwMBA3X///WrevLlyc3O1f/9+zZ8/X8nJyXrqqadkZ2enKVOmlLrekydPqlevXgoLC5OD\ng4NuueUW9enTRwEBAUpOTtbevXu1atUqRUREFLlO27Zt9dprrxU67ufnV+oaq5MQnwCdiP7XdByV\nFENgAQAAAAAuQ2ABAAAAOh0TprFzJutMbLjp3Lljsfrt2B69/c2nurPHSIXFnytT9wRPF3e1b3Cx\ne0KHBi3ongAAqBZeeeUVLVy4UB4eHqZzU6dOLfb18fHxmj17tiSpXr162rt3r9kP+8eNG6cHH3xQ\nHTp0UFxcnF5++WU99NBDcnZ2LnGtWVlZGjJkiMLCwhQQEKBNmzapXbt2ZnNuv/12zZ49W5GRkUWu\nVaNGDfXv37/ENdiaIB9/s8BCZFKsmtdubMWKAAAAAKByIbAAAABg49KzMvOFFS4XkRitV9d9UOJ1\nGwfXV4fQlnRPAABUaw0bNizT9Xv27DFtA/HQQw8V2Jmgbt26mjBhgt58802lpKTo0KFD+YIGxfHW\nW2/p0KFDkqSvvvqq0DUMBoNq1qxZ4vWRX4hPgNlxdHKclSoBAAAAgMqJwAIAAICNW/vnpkLDCsV1\nefeEjqEt1b5+C/m4e5VThQAAVF+Ojo6m10FBQYXOCw4OLvCa4srNzdW8efMkSX369FGvXr1KvAZK\nLsjb3+w4MinWSpUAAAAAQOVEYAEAAMBGGY1G/XZsr15dN7/E1zYOrq+O/4UTOoS2UpPg+rKzs6uA\nKgEAqN7atGkjFxcXZWZm6rffftP48eMLnLd9+3ZJkq+vr5o0aVLi+/z66686d+6cJGns2LGlLxgl\nkq/DQhIdFgAAAADgcgQWAAAAbMz5zDSt+P07Ld62WsciTxf7On9PX71/1wt0TwAAoBz5+flp2rRp\nev7557Vw4UK1a9dO9913n+ztL26jdOHCBc2ePVvr1q2TJM2aNUtOTk4lvs/vv/9uet2tWzdlZmZq\nzZo12rp1q2JiYuTj46P27dtr1KhRql279lXXO3funJ599lmdOHFCubm5CggIUKdOnTR06FAFBgaW\nuL7qKsjbPLAQmRRjpUoAAAAAoHIisAAAAGAjjp47rUXbVmnl798p7UJ6ia9vVquhbmzRpQIqAwDA\ntv3vf/+Tn5+fZsyYoQceeEDTpk1T48aNlZubq2PHjikpKUn16tXTq6++qnHjxpXqHkeOHJEkGQwG\npaamqnXr1jp+/LjZnGXLlunZZ5/V1KlT9fzzz8tgMBS63uHDh3X48GGzcwsWLNCjjz6qKVOm6OWX\nX5aDQ8nfdkpMTCx0LCkpyfQ6KytLWVlZJV7f0vw9fMyOIxNjq0TdlVF2dnaBr4HKjmcXVRnPL6oy\nnl9UZZX9+S3v72kILAAAAFRj2bk5+v6vX7Ro2yrtOLa3TGsN79S3nKoCAABXGj58uGJiYvTaa68p\nLi5OcXH/v3WAh4eHHnzwQfXv37/U618KAjg7O2vgwIGKiYnR4MGDNXLkSPn4+Ojw4cOaN2+ewsPD\nNW3aNGVlZWn69On51jEYDGrbtq369Omj0NBQ1apVS6mpqfr999/12WefKSkpSa+++qqOHTumr776\nqsRbRvn5+RVr3ubNm+Xh4VGita0hISPZ7PhsTIS+++47K1VTfWzevNnaJQClwrOLqoznF1UZzy+q\nssr4/J4/f75c1yOwAAAAUA3FJMdr2a/rtOyXdYpKji10nr2dvW5q1U1/nTmkqOTC91SuH1Bbwwgs\nAABQIX7//XcNGTJEsbGxqlWrlu677z61adNGeXl52rt3rz7++GM988wzmjt3rr777ju1aNGixPfI\nzMw0/TMzM1Ovvfaann32WdP40KFDdd9996l79+46fPiwXnnlFd1+++1q0qSJ2TqLFi1ScHBwvvVv\nu+02TZ06VUOHDtUff/yhVatWafHixbr77rtLXGt14uVsHqpIzUpTbl6u7O3srVQRAAAAAFQuBBYA\nAACqCaPRqD9P/q1FP6/W13u3Kicvt9C5AV5+uv36Ybqj+zDV9A3U6ZgwjZ0zWWdiw/PNrR9QW18+\n8o7cnFwqsnwAAGzSuXPn1K9fP6WkpKhdu3baunWrfHx8TOMjRozQI488ou7du+v48ePq16+fDh8+\nLE9PzxLdx83NzfS6ZcuWeuaZZ/LNqVGjht5//33ddNNNysvL06JFi/Taa6+ZzSkorHBJUFCQ1q9f\nr0aNGun8+fN67733ShxYSEhIKHQsKSlJoaGhkqQ+ffrI19e3RGtby4s7Figu9WKHC6Ok9l07qaZv\nkHWLqoKys7NNny7r06ePHB0drVwRUDw8u6jKeH5RlfH8oiqr7M9vUVv5lQaBBQAAgCouLTNda3b9\noEU/r9KhiBNFzr2uURtN6DFKN7frKSeH//+LboPAOto67TOt2vmtPv1hhVKz0lQ/pK5GXtdPwzr1\nJawAAEAFmT9/vlJSUiRJc+bMMQsrXBIUFKTZs2dryJAhioiI0LJly/Tggw+W6D6XrztkyBAZDIYC\n5914443y8PDQ+fPn9fvvv5foHpdqHTJkiL744gvt379fiYmJJQoWFHeuk5OTnJycSlyfNQT7BJgC\nC5IUn5as+kF1rFhR1efo6Fhl/vsDl+PZRVXG84uqjOcXVVllfH7Lux4CCwAAAFXUyeizWrxttZbv\n+FqpmWmFznN1ctGo6/rrrh4j1aJ240LnuTm56NYug+SddLFF8YABAyrdX4YBAKhuduzYIUlyd3dX\n165dC5130003mV7v3LmzxIGFy7d2qF27dqHz7OzsVLNmTR07dkwxMTElukdB94qOjq4ynRAqSrBP\ngA6GHTMdF7VdFwAAAADYGgILAAAAVUhObo42H9ihRdtWadvhP4uc2zCoru66YaRGd7lZ3m4laxsN\nAAAsIyMjQ9LFwEJhXQ8kycXFRU5OTsrKylJ6enqJ79OmTRvT6wsXLhQ5NzMzU5Lk6upa4vtIMqvP\nxYUuTcHe/mbHkUkEFgAAAADgEgILAAAAVUBcaqK++G2DlvyyVhEJUYXOszPYqW/r6zWhx0h1b9pJ\ndnZ2FqwSAACUVGBgoCQpPj5eKSkp8vLyKnBeWFiYsrKyJF3cdqGkevXqZdrqYd++fYXOi4+PV1hY\nmCSpcePCOzMV5ZdffpF0MYRRs2bNUq1RnQT7BJgdRyfFWakSAAAAAKh8eAcbAACgkjIajdpz6qAe\nXvSS2j83RK+u+7DQsEINT1892v9O/fnKGi1+4A31aH4dYQUAAKqAG264QZKUm5urhQsXFjrvww8/\nNL3u3r17ie/j4uKisWPHSpLWrFmjc+fOFThv7ty5MhqNkqQhQ4aU+D6rVq3S77//Lkm6+eab2V5K\ndFgAAAAAgKLQYQEAAKCSSc/K1LpdP2rxtlXaf/ZokXM7NGipCT1HanD73nJ25AcCAABUNXfddZdm\nzJihxMREPffcc/L09NTdd98te3t7SVJ2drbmzJmj119/XZJUr149jRw5Mt86zz33nKlzwrp16wrc\niuGll17SV199pZSUFA0aNEgrVqxQo0aNJF0MSi5cuFAzZ86UJLVu3VqjR482u3758uVKTU3V4MGD\nFRwcbDaWnp6uDz/8UM8//7yki9tJTJ8+vSz/aqqNYJ9As+PoZAILAAAAAHAJgQUAAIBK4kxsuBZv\nW6PlO75WUnpKofNcHJ01vFNfTeg5Uq3rNrVghQAA4Ep79uwx/ZD+kpSUFNNY//79zcZWr14td3d3\n07Gvr69WrlypoUOHKi0tTRMnTtT//vc/tWjRQnl5eTpw4ICSkpIkSX5+flqzZk2BXQt27dqlLVu2\nSJJycnIKrLVmzZpas2aNBg0apH379umaa65RmzZt5OPjoyNHjigyMlKSVL9+fa1du9YUmrhk9+7d\nmj17tgwGgwICAhQcHCx/f3+lpqbqwIEDyszMlCR5eXlp+fLlatqUv6dIUrCPeYeFKDosAAAAAIAJ\ngQUAAAArys3L1dZ/ftein1fpp0O/m1owF6Sefy3d1WOEbu06SL7u3hasEgAAFCY2NlabNm0qcCwu\nLi7fWHZ2dr55vXv31r59+/Tiiy9q3bp1iouL07Zt20zjnp6eGjNmjF566SXVqlWrTPX27t1be/fu\n1VNPPaVNmzaZujJIF4MG48eP10svvaQaNWrku3bcuHHKzMzU999/r5MnTyomJsZs3N/fX2PGjNEz\nzzyjOnXqlKnO6iTYJ8DsOCopzkqVAAAAAEDlQ2ABAADAChLOJ+vLHRu15Jc1OhtX8B7SkmQwGNS7\nZVdN6DFSvZp3lp2dnQWrBAAAV9OxY0d99913xZ7v4eFR4PnGjRvriy++UHZ2to4cOaL4+HgZDAYF\nBgaqSZMm+bodXGnWrFmKi7v4g3BXV9ci5zZr1kxff/21kpKSdOLECaWkpMjf31/NmzeXg0PhbxW1\nb99e7du3lyQlJibq3LlziomJkZOTk0JCQhQaGlrkfW1VDQ8fOdo7KDv3YueL1Mw0pWWmy93FzcqV\nAQAAAID1EVgAAACwoL/+PaxFP6/S+t2blZl9odB5vu5eGtt1sO68YYTqBZTtk5QAAKDi+Pv759v2\noSwcHR3VqlWrEl/XsWPHEl/j4+NTquuki1tZ+Pr6qkWLFqW63pYYDAYFefsrPCHKdC4qOU4NXepa\nsSoAAAAAqBwILAAAAFSwzOwL2rBnixb9vEr7zhwqcm6bes00ocdIDe3YR65OLhaqEAAAABUpxCfA\nLLAQmRSrhkEEFgAAAACAwAIAAEAFORt3Tku3r9UXv21UwvmkQuc5OzhpSMc+mtBjpNo34FOKAAAA\n1U2QT4DZcVRSjJUqAQAAAIDKhcACAABAOcrLy9O2w39q0bZV+vHAbzIajYXOre0XrDt7jNC4bkNU\nw8PHckUCAADAokLyBRbirFQJAAAAAFQuBBYAAADKQVJair7a+Y2W/LJGp2LCipzbq3lnTeg5Ur1b\ndpW9nb2FKgQAAIC1BHn7mx1HJcVaqRIAAAAAqFwILAAAAJTBwbBjWvTzKq35c5Mysi8UOs/bzVO3\ndhmoO28YoVD2KwYAALAp+TosJNNhAQAAAAAkAgsAAAAllpWTra/3btWin1dp16kDRc5tWaeJJvQY\nqWGd+srd2dVCFQIAAKAyCcq3JQQdFgAAAABAIrAAAABQbBEJ0Vq2fa0++3W94lITC53naO+gwe1v\n1ISeo9QxtJUMBoMFqwQAAEBlk6/DAoEFAAAAAJBEYAEAAKBIRqNRvx7drUU/r9Km/b8qNy+30Lk1\nfQM1vvtw3Xb9EAV41bBglQAAAKjMgr39zY6jk+OUl5cnOzs7K1UEAAAAAJUDgQUAAIACpGakacXv\n32rxtlU6HvVvkXO7N+2oCT1GqW/r6+Vgz1+vAAAAYM7dxU2eLu5KzUyTJGXn5ighLVn+nr5WrgwA\nAAAArIt31AEAAC5zOOKkFm9brVV/fK+0C+mFzvNwcdOYLgN1V4+Rahxc33IFAgAAoEoK9glQalSa\n6TgqKZbAAgAAAACbR2ABAADYvOzcHH331zZ9+vMq/X58X5Fzm9ZsqAk9R2rUtf3l7uJmoQoBAABQ\n1QX7+Ot41BnTcVRSnFrWaWK9ggAAAACgEiCwAAAAbFZUUqw++3W9Ptu+XlHJsYXOc7Cz183tempC\nz1Hq3KitDAaD5YoEAABAtRDsE2h2HJUUY6VKAAAAAKDyILAAAABsitFo1O8n/tKnP63Sd3/9rJy8\n3ELnBnn7647uw3T79UMV7BNgwSoBAABQ3QR7+5sdRyYVHpgFAAAAAFtBYAEAANiEtMx0rfrzey36\nebWOnDtZ5NwujdtpQs9RGtC2hxzt+esSAAAAyu7KAGx0cpyVKgEAAACAyoN34AEAQLV2POqMFm9b\nrRU7v1VqZlqh89ycXXXLdQN0V4+RalaroQUrBAAAgC0I9qHDAgAAAABcicACAACodnJyc/TD/l+1\naNsqbT+yu8i5jYPr6a4eozS6883ydHW3UIUAAACwNSF0WAAAAACAfAgsAACAaiM2JV6f/7pBy7av\nU0RidKHz7Ax26t+mu+7ueYu6XdNBBoPBglUCAADAFgV5mwcW6LAAAAAAAAQWAABAFWc0GrX71AEt\n+nmVNu7dquzcnELn+nv66vbrh+qO7sNVyy/IglUCAADA1gV615DBYJDRaJQkxacmKisnW04Ojlau\nDAAAAACsh8ACAACoktKzMrX2z01atG21DoYdK3Jup9BWurvXLRrYrhdvCAMAAMAqHO0dFODpp5iU\neNO56OQ41akRYsWqAAAAAMC6CCwAAIAq5VT0WS35ZY2W7/xGyemphc5zdXLRyGv76a4eI9WyThML\nVggAAAAULNjHn8ACAAAAAFyGwAIAAKj0cvNyteXgDi36ebV+OvR7kXMbBNTWhJ6jNKbLQHm7eVqo\nQgAAAODqgn0CtP/sUdNxZGKsFasBAAAAAOsjsAAAACqt+PNJ+uK3DVr6y1qFxUcWOs/OYKebWnXT\nXT1Gqkeza2VnZ2fBKgEAAIDiCfYOMDuOTiawAAAAAMC2EVgAAACVzt7T/2jRttXasHuzLuRkFTrP\nz91bt10/VHd0H6a6/jUtWCEAAABQcsE+5oGFyCQCCwAAAABsG4EFAABQKWRkZWr97s1atG21/v73\ncJFz29Vvrgk9R2lIh95ycXS2UIUAAABA2QT7+JsdRxFYAAAAAGDjCCwAAACr+jfunJZsW60vd2xU\nYlpKofNcHJ01tGMfTeg5Sm3rNbNghQAAAED5uLLDQlRynJUqAQAAAIDKgcACAACwuLy8PP106Hct\n2rZaWw7ukNFoLHRuXf+auvOGERrbdbD8PLwtWCUAAABQvoK96bAAAAAAAJcjsAAAACwmMS1Zy3d8\nrSW/rNWZ2PBC5xkMBvVq3lkTeo7SjS06y97O3oJVAgAAABUj2CfQ7DgqiQ4LAAAAAGwbgQUAAFDh\n9p89okU/r9a6XT8oI/tCofN83Lx0a9dBuqvHCNUPqG3BCgEAAICK5+vuJWcHJ13IyZIkpV1IV2pG\nmjxd3a1cGQAAAABYB4EFAABQIS5kZ2nj3i1a9PNq7Tl9sMi5reteo7t6jNKwTjfJzcnFQhUCAAAA\nlmUwGBTk46+zcedM56KSYwksAAAAALBZBBYAAECJpGdlau2fm7Ru94+KTUlUgJevhnW8ScOv7Sc3\nJxeFJ0Rp6S9r9flvGxSfmljoOk4OjhrSobcm9Bil9g1ayGAwWPCrAAAAAKwjxCfAPLCQFKvGwfWt\nVxAAAAAAWBGBBQAAUGynY8I0ds5knYkNN507ck7afmS33ti4QE1CGui3o3uUZ8wrdI1afsG684bh\nGtt1sAK8/CxRNgAAAFBpBHn7mx1HJcVZqRIAAAAAsD4CCwAAoFjSszLzhRUuF50cp+jkwt9s7dHs\nWk3oMUo3te4mezv7iioTAAAAqNRCfALMjqOSYq1UCQAAAABYH4EFAABQLGv/3FRoWKEwXq4eGtNl\noO7qMVINg+pWUGUAAABA1RHkfUVgIZnAAgAAAADbRWABAAAUy7rdPxZ7bvNajTSh5yiNuLaf3J1d\nK7AqAAAAoGoJ8aXDAgAAAABcQmABAABcldFo1Mmos8WaW8+/lrZMXSaDwVDBVQEAAABVT5C3v9lx\nJIEFAAAAADbMztoFAACAyu1g2DENm32/ziXFFGt+Xf8QwgoAAABAIUJ8zDssRCfFWakSAAAAALA+\nOiwAAIACJZxP1usbPtKy7euUZ8wr9nXDO/WtwKoAAACAqi3oysBCcpzy8vJkZ8fnigAAAADYHgIL\nAADATG5erpZtX6fXN3ykxLSUEl1bP6C2hhFYAAAAAArl5uQibzdPJaenSpJy8nIVfz5RAV41rFwZ\nAAAAAFgegQUAAGDyx4m/9PxXb+tg2LECx7s2aa9/4yIUkRCdb6x+QG19+cg7cnNyqegyAQAAgCot\n2CfAFFiQpMikWAILAAAAAGwSgQUAAKCopFjNWDNXq//cVOB4g4Damj56sm5q1U3pWZlat+sHrd31\ng+JSE+Xv6avhnfpqWKe+hBUAAACAYgj29tfRc6dMx1FJcWpd14oFAQAAAICVEFgAAMCGXcjO0sdb\nl+udbxcp/UJGvnE3Z1dNHjBBE3vfKmdHp4vnnFw0rtsQjes2xNLlAgAAANVCsE+A2XFUUqyVKgEA\nAAAA6yKwAACAjdpycIemrXhHp2LCChwf3qmvpo14WDV9Ay1cGQAAAFC9BXv7mx1HJcdZqRIAAAAA\nsC4CCwAA2JgzseF6YeW7+mH/rwWON6/VSK/c+oS6NG5n4coAAAAA25C/w0KMlSoBAAAAAOsisAAA\ngI1Iu5Ch979brA83f6GsnOx84z5uXnpmyETd0X2YHOz5KwIAAABQUa4MLESyJQQAAAAAG8VPIwAA\nqOaMRqPW79ms6avn6Fxi/k9uGQwG3XH9MD0zdJJqePhYvkAAAADAxlwZWIhOYksIAAAAALaJwAIA\nANXY4YgTev6rt7Xj2N4CxzuFttIrtz6h1nWbWrgyAAAAwHYFe/ubHUfRYQEAAACAjSKwAABANZSU\nlqI3v16gxdvWKDcvN994oFcNTRvxsEZd118Gg8EKFQIAAAC2K8DLT3YGO+UZ8yRJCWnJupCdJWdH\nJytXBgAAAACWRWABAIBqJDcvV1/+tlGvrp+vhPNJ+cYd7R10341jNGXg3fJwcbd8gQAAAADkYO+g\nQK8aikr+/84KUclxqudf04pVAQAAAIDlEVgAAKCa2HPqoJ5b/pb2nz1S4Hiv5p01Y/RkNQquZ+HK\nAAAAAFwpyMffLLAQnRRLYAEAAACAzSGwAABAFReTHK+Za+dpxe/fFjhe17+mZtzyuPq27s72DwAA\nAEAlEeIToL//PWw6jkyKLWI2AAAAAFRPBBYAAKiisnNz9MlPK/TW1wt1PjM937iro7MeHXCnHrjp\nNrk4OluhQgAAAACFCfL2NzuOTo6zUiUAAAAAYD0EFgAAqIK2HfpDU1e8reNR/xY4Prh9b7046hHV\n9gu2cGUAAAAAiiPEJ8DsmA4LAAAAAGwRgQUAAKqQs3Hn9NKq9/TtX9sKHL+mZqheGT1F1zftaOHK\nAAAAAJRE0BWBhWgCCwAAAABsEIEFAACqgPSsTM3dtEwf/PCZMrMv5Bv3cvXQ04Pv0109RsrBnv+9\nAwAAAJUdHRYAAAAAgMACAACVmtFo1Df7ftKLq95XREJUvnGDwaCxXQfpuaEPKMDLzwoVAgAAACiN\nIG9/s+MoAgsAAAAAbBCBBQAAKqmj505r6orZ2n5kd4Hj7eo316u3Pql29ZtbuDIAAAAAZXVlh4Wo\n5DgZjUYZDAYrVQQAAAAAlkdgAQCASiYl47ze2rhQn/y8Url5ufnG/T19NXX4Qxrd+WbZ2dlZoUIA\nAAAAZeXt5ikXR2fTlm8ZWZlKyTgvbzdPK1cGAAAAAJZDYAEAgEoiLy9PX/3+rV5ZO09xqYn5xh3s\n7HVPr1v0xKB75eXqYYUKAQAAKpe4uDjt2rVLUVFRio2NVVpamvz9/RUQEKAGDRqoQ4cOcnDgrQ9U\nTgaDQcE+AToTG246F5UUR2ABAAAAgE3hu3YAACqBfWcO6fmvZmvv6X8KHO/etKNmjn5C19RsYOHK\nAAAAKpe///5bixYt0pYtW/TPP//IaDQWOtfd3V3dunXToEGDNH78eHl7e1uwUuDq8gcWYvg7PwAA\nAACbQmABAAArik1J0GvrP9SXO74u8M322n7BevmWx3Rz257sZQsAAGxWXl6eli9frrlz52rnzp3F\nvi4tLU0//PCDfvjhBz377LMaO3asJk+erBYtWlRgtUDxBXv7mx1HJcdZqRIAAAAAsA4CCwAAWEFO\nbo4W/bxab369QCkZ5/ONuzg666G+t+uhfnfIzcnFChUCAABUDj/99JOmTJmiv/76y3Subt266tKl\ni7p06aLWrVvL399ffn5+cnNzU0JCghISEhQREaE//vhDO3fu1K5du5Senq5PPvlEixcv1n333afp\n06crICDAel8YoIsdFi4XlRRrpUoAAAAAwDoILAAAYGG/Ht2j57+araPnThU4PrBdT7048lHV9a9p\n2cIAAAAqmaeeekpvvfWWJCkgIEC33nqr7rjjDnXq1KnQa3x9fdWwYUN16tRJw4YNk3Sx08LatWv1\n2WefafPmzZo/f76++OIL/fTTT2rfvr0lvhSgQME+V3RYSKLDAgAAAADbQmABAAALCU+I0sur5mjj\n3i0FjjcOrqeZo6eoR/PrLFwZAABA5XT48GHVqlVL//vf/3TvvffKycmpVOu4u7vr9ttv1+23367T\np09r+vTpWrZsmc6dO0dgAVZFhwUAAAAAto7AAgAAFSwz+4I+/PFzvf/dEmVkX8g37uHipicH3at7\neo2Woz3/awYAALjkqaeeUufOneXs7FxuazZo0ECLFi3S888/Lzs7u3JbFyiNYO8rAgvJBBYAAAAA\n2BZ+KgIAQAUxGo36Yf92TV83T2fjzhU4Z3TnmzV1+EMK9K5h4eoAAAAqvx49elTY2o0aNaqwtYHi\nCqHDAgAAAAAbR2ABAIAKEHU+Xl8d/lGHvj9d4Hjruk316q1PqGNoKwtXBgAAAKCyuDK4HJOSoNy8\nXNnb2VupIgAAAACwLAILAACUo9SMNL21cYEW/LpCeca8fON+Hj56ftgDGtt1MC2IAQAAABvn6uQi\nX3cvJaalSJJy83IVl5qoIG9/K1cGAAAAAJZBYAEAgHJgNBq16o/vNWPNXMWkxOcbt7ez1109Ruip\nQffJx93LChUCAABUX9HR0Tp27JiSk5OVk5NT5NwuXbooKCjIQpUBVxfsE2AKLEhSZFIsgQUAAAAA\nNoPAAgAAZbT/7BE9v3y2dp06UOB41ybt9cqYKWpWi32SAQAAyovRaNTSpUv11ltv6eDBg8W+buPG\njRo0aFAFVgaUTLB3gA5HnDQdRyfFSvWaWbEiAAAAALAcAgsAAJRS/PkkzVo/X5/9ul5GozHfuK+L\np2be+oRGXNdPBoPBChUCAABUX/fff78+/vhja5cBlFmwT4DZcWRSrJUqAQAAAADLI7AAAEAJ5eTm\naOn2dXpjw8dKSk/JN+5k76je9TtpQGgXDW5/I2EFAACAcvbjjz+awgotW7bUQw89pPbt26tGjRqy\nt7cv8lq2g0BlE+xjvv1DdHKclSoBAAAAAMsjsAAAQAnsPL5Pzy+frUMRJwoc79v6ek0d+pAO795v\n4coAAABsx5o1ayRJ1113nbZt2yZnZ2crVwSUHh0WAAAAANgyAgsAABTDucQYzVgzV2t3/VDgeMOg\nupp+y+Pq3bKrsrKydFgEFgAAACpKTEyMJGnSpEmEFVDlBXtf0WEhiQ4LAAAAAGwHgQUAAIpwITtL\nH235Uu9+t1jpFzLyjbs7u2nyzRM0sfetcnJwtEKFAAAAtqdWrVqSJE9PTytXApRdsE+g2TEdFgAA\nAADYEjtrFwAAQGX144Hf1HP6OL267sMCwwqjruuv317+Sg/3u4OwAgAAgAX17dtXkrRv3z4rVwKU\nXbDPFR0WkgksAAAAALAddFgAAOAKp2PCNG3lu9p84LcCx1vWaaJXxzyhaxu1sXBlAAAAkKSBAweq\ne/fu+vDDDzVp0iTVrVvX2iUBpebv6St7O3vl5uVKkhLTUpSRlSlXJxcrVwYAAAAAFY8OCwAA/Cct\nM12vrvtQPaaPKzCs4OvupdfHPa1Nzy0irAAAAGBFBoNB69ev1zXXXKNu3bppxYoVys7OtnZZQKnY\n29kr0MvP7Fx0cpyVqgEAAAAAy6LDAgDA5hmNRq3b/aOmr55T4H6xdgY7jb9huJ4ePFF+Ht5WqBAA\nAABX8vX11a+//qq77rpLY8aMkZubmxo3biwPD48ir3vjjTfUtWtXC1UJFE+wT4DZ9yJRSXGqH1Db\nihUBAAAAgGUQWAAA2LR/wo/r+a/e1u/HC97/+LpGbfTKmCfUsk4TC1cGAACAokRHR2vcuHHaunWr\nJCk9PV1///33Va9LSEio6NKAEgvxCdDl35FEFRCkBgAAAIDqiMACAMAmJaYl640NC7TklzXKM+bl\nGw/2DtALIx/W8E59ZTAYrFAhAAAACnPhwgV1795dx48flyT5+PioVatWqlGjhuzt7Yu8NiQkxBIl\nAiUS5B1gdhyVTGABAAAAgG0gsAAAsCm5ebn6/NcNmrV+vhLSkvONO9o7aFKfsZo8YILcXdysUCEA\nAACu5tNPP9Xx48fl5OSkefPm6a677pKDA29xoOoK8TUPLBS0VR0AAAAAVEd8Nw8AsBm7Tu7X81/N\n1v6zRwsc792yq2bc8rhCg+pauDIAAACUxJ9//ilJevjhh3XvvfdauRqg7IK8/c2Oo5PirFQJAAAA\nAFgWgQUAQLUXnRynGWvmatUf3xc4Xj+gtqbf8rj6tr7ewpUBAACgNLKysiRJXbt2tXIlQPkI8bli\nSwg6LAAAAACwEQQWAADVVlZOthZs/Upvf/Op0i6k5xt3dXLR4wPu0qQ+Y+Xi6GyFCgEAAFAaTZs2\nlSSlpKRYuRKgfAR5XxFYSKbDAgAAAADbYLOBhaioKEVERCgyMlJGo1HBwcFq06aNnJycKvS+Z8+e\n1Y4dO0zHgwcPlru7e4Wt8f333yspKemqa9avX1+dO3eusDUAoCKlZ2Vq7Z+btG73j4pNSVSAl6+a\n1myoLQd36FRMWIHXDO3YRy+MeES1/IIsXC0AAADK6s4779SMGTO0evVqTZgwwdrlAGUW4pu/w4LR\naJTBYLBSRQAAAABgGTYVWNiyZYs+++wz/fzzzzpz5ky+cVdXV912222aOXOmgoLK/wdYeXl5GjNm\njH7//XfTudOnT5cosFDSNZ588kn9888/V133tttuKzRsUB5rAEBFOR0TprFzJutMbLjp3JFz0vYj\nuwuc36xWQ70y5gl1bdLeUiUCAACgnNWtW1cLFizQhAkT9MYbb+jpp5+2dklAmXi6uMvVyUUZWZmS\npMzsC0pOT5WPu5eVKwMAAACAimVTgYVly5ZpyZIlpuNrrrlGjRo1ksFg0N69e3Xu3DktXLhQGzZs\n0NatW9WiRYtyvf8777xjFjSw5Br169fXddddV+h4ly5dLLIGAJSn9KzMfGGFwni7eerpwRN15w3D\n5WBvU//7AwAAqHZOnDihFi1aaNasWXrhhRe0du1a3X777WrRooU8PDyKvLZx48by9vYu95pOnz6t\nP//8U3/88YfCwsJkNBrVrl07Pf/888VeIzExURs3btTevXsVFxcng8GgwMBAdezYUYMGDZKnp2e5\n17xhwwYdP35cSUlJqlWrlpo1a6YhQ4bIz8/vqtf/9ddfWr9+vc6cOSM7OzuFhoZqxIgRatasWbnW\naQsMBoNCfALMOsRFJsUSWAAAAABQ7dncT2x8fHz0wAMPaNKkSapXr57pfG5urj744AM9/vjjiomJ\n0fDhw3Xw4MFy2yLixIkTmjZtmhwdHdW3b1998803Fl2jR48eWrx4cYnvWd5rAEB5WvvnpmKFFTo3\nbqtPJs1SDQ+fii8KAAAAFe7xxx83+574999/L3a4f+PGjRo0aFC51TJz5ky9//77io2NzTd2/vz5\nYq/z+uuv6+WXX1ZGRkaB415eXnr99dd1//33l7rWS2JiYjR58mR98cUXBY47Ojpq1qxZmjJlSoHj\nKSkpmjRpkpYvX55vbOrUqbrvvvv0/vvvy8XFpcy12pLgKwILUUmxalaroRUrAgAAAICKZ1OBhVGj\nRumtt96Sv79/vjF7e3s98sgjioyM1Guvvabjx49r/fr1uuWWW8p8X6PRqLvvvlsZGRn63//+p9zc\n3BIHFspjDQCobtbt/rFY8xztHQgrAAAAoEIcPHhQsbGxqlevnq699lpde+21mj59ulJTU4u9xvTp\n0/Xiiy9KuvhBi7vvvlvNmzdXbm6u9u/fr0WLFiklJUUPPPCAjEajHnjggVLXGxYWpl69eunkyZMy\nGAwaNGiQ+vTpo4CAACUnJ2vv3r1au3atTp06VeD1OTk5GjFihLZs2SJJGjlypAYMGKDc3FytWbNG\nmzZt0oIFC5SYmKgVK1bIYDCUulZbE+xt/n5VVHKclSoBAAAAAMuxqcBCcT5Bcdddd+m1116TJO3c\nubNcAgtz587V9u3b1ahRI02bNk0vvfSSVdYAgOrmbNy5Ys2LS02s4EoAAABgSW+88YaeffbZUl1b\n3ts/Tps2TXPmzFFAQIDp3KxZs4p9fVJSkl555RVJUs2aNbVnzx4FBwebzXn88cfVqVMnJSUl6fnn\nn9c999xTqo6QOTk5Gjp0qE6ePClfX19t3LhR3bp1yzdv3rx5Cg8vuJPZ/PnzTWGFN998U08++aRp\nbOLEiXrmmWf0xhtvaNWqVVqxYoXGjBlT4jptVbBPgNlxVFKMlSoBAAAAAMuxqcBCcfj6+ppeJycn\nl3m9M2fO6LnnnpN08Zv60rRDLI81AKC62Xxgh8LiI4s119/T9+qTAAAAUGU0b97c2iWYlDUAsWvX\nLmVlZUmSHn300XxhBUlq1KiR7r77br399ttKTEzUoUOH1LZt2xLf691339W+ffskSV988UWBYQXp\n4pYQDRo0yHc+Ly/P9CGPDh066Iknnsg355VXXtGqVat06tQpzZw5k8BCCeQPLNBhAQAAAED1R2Dh\nCvv37ze9rlWrVpnXu/fee5WWlqbx48erd+/eVlsjLy9P+/fv15kzZ2QwGBQUFKQ2bdrI2dnZomsA\nQHlY/cf3emzJDOUZjcWaP7xT3wquCAAAACgdOzs70+uaNWsWOq927doFXlNceXl5mjNnjiSpR48e\n6t+/f4nX+O2333Tu3MUuZ/fcc0+B2z04ODjozjvv1IsvvqiDBw/qyJEjatq0aYnvZYvyBxZirVQJ\nAAAAAFhOyb/DrebmzZtnej1gwIAyrfXxxx9ry5Yt8vf31+zZs622hiQtW7ZMbdq00dChQzVkyBBd\nd9118vHx0Z133qnTp09bbA0AKKuFW7/SQ4teUk5ebrHm1w+orWEEFgAAAFBJtW7d2rS9wx9//FHo\nvN9//12S5OnpqSZNmpT4Pr/99pvOnj0rSbrttttKUan0yy+/mF737Nmz0HmXj23btq1U97JFwd7+\nZsdRyXRYAAAAAFD90WHhMuvWrdPatWslSTfeeKO6dOlS6rXCw8P11FNPSZJmz54tf3//q1xRMWtc\nEhISovr16ys4OFiJiYnas2ePUlNTtXTpUq1fv15r165Vr169KnyNgiQmFr63fFJSkul1VlaWqU0m\nqr/s7OwCX8N2GY1Gvf3tp3pv05J8Y37u3kpIy7+NTz3/Wlp6/xtykJ1F//zg+UVVxvOLqoznF1VZ\nZX5+K+v3YZ9++qnOnTune+65RyEhIUXO/frrr/XXX39p8ODBatOmjYUqLJ6AgAA9/fTTmjlzpubP\nn6/OnTvrtttuM3UvyMnJ0QcffKAVK1ZIkmbMmFGqrSIvBR4kqVu3bsrJydG3336rrVu3KiYmRj4+\nPmrfvr2GDRtW6PsP//zzjyTJ3t5ejRs3LvRel3dUOHToUIlrtVV0WAAAAABgiwgs/Ofo0aO66667\nJEleXl5asGBBmdabOHGiUlJS1Lt3b40fP95qazzyyCPq1atXvk9fZGRk6L333tO0adOUnJys4cOH\n659//ilwG4zyWKMofn5+xZq3efNmeXh4lGhtVA+bN2+2dgmwsjxjnpYf+kHbzu4zO29vsNOENoPV\nJrCx/jx3SLsiDyk1K02eTu7qFNJc19ZsrsO7D+iwDlipcp5fVG08v6jKeH5RlVW25/f8+fPWLiGf\nuLg43X///fL29tYzzzxz1fnnz5/XtGnTdPjwYX3++ecWqLBkZsyYIW9vb7322mu644479Pzzz+ua\na65Rbm6uDh06pKioKAUGBmr69OmaNGlSqe5x+PBhSZLBYFBOTo46dOhgti3mJY8//rhmzpypxx9/\nPN9YRESEJCkoKEgODoW/pRQYGChHR0dlZ2crPDy8RHXa8ocafF29zI5jUxKUnpEuB3vevpMqd7AL\nKArPLqoynl9UZTy/qMoq+/Nb3t+L8R2PpKioKN18881KTk6Wvb29lixZotDQ0FKvt3jxYn333Xdy\ncXHR/PnzrbaGpELfyHB1ddWzzz4rPz8/TZo0ScnJyZo1a5ZpP8vyXgMASisnL1eL9m/U7sjDZued\n7B11f7sRahFw8c/r6+u00fV1Kten5QAAAFAx1qxZo+zsbI0cOVKOjo5XnT906FC5uLho/fr1unDh\ngpydnS1QZcncc889ysvL04svvqizZ8+atm+QJA8PD02dOlXjxo0r9fqXggDOzs4aOHCgwsPDdeON\nN2rEiBHy8fHR4cOH9fHHHys2NlaTJ09WZmamnn32WbM1UlNTJUnu7u5XvZ+bm5uSk5NLHHix9Q81\neDi66nx2hqSLwe0VG9bI18XTylVVPpUt2AUUF88uqjKeX1RlPL+oyirj81veH2yw+cBCYmKi+vXr\np1OnTslgMOijjz7SsGHDSr1eZGSkpkyZIkmaNm2aGjVqZJU1iuu+++7TG2+8oZMnT2rDhg2lChuU\ndY2EhIRCx5KSkkzhkT59+sjX17fE9aFqys7ONv0h3KdPn2K9CYnqJ/1ChiZ9Mi1fWMHbzVNLJr2h\n9g1aWKmyovH8oirj+UVVxvOLqqwyP79FfeLdWi51C2jWrFmx5ru6uqpevXo6evSowsLCKvT77NL4\n66+/NGjQIEVERMjf318PP/yw2rRpo7y8PO3du1eLFy/Wo48+qvfff1/fffddqerPyLj4Q/DMzEyF\nh4dr6tSpmjFjhtmchx9+WN27d9eJEyc0bdo0jR492uwDHZc+RVNUd4VLnJycJEkXLlwoca22zMfF\n0xRYkKSkzFQCCwAAAACqNZsOLJw/f14DBgwwtUB85513dM8995RpzTVr1igxMVEeHh6qU6eOli9f\nnm/OpTdWJGnjxo0KCAiQs7Ozhg8fXm5rFJfBYFCXLl108uRJnT17VllZWaY3FSy1RnFDCE5OTiWu\nDdWDo6Mj/+1tUGJasm7/4AntOX3Q7Hywd4CWP/aemtYsfSccS+L5RVXG84uqjOcXVVlle34rUy2X\nXNqaoHbt2sW+pnbt2jp69KgiIiIqVWAhJiZGvXv3VkJCglq0aKGtW7cqMDDQND5+/HhNmTJFN9xw\ng06cOKGbbrpJBw8eLFaXg8u5ubmZXjdt2lQvv/xyvjnBwcF67733NHDgQOXk5OjTTz/VzJkz861R\nnBDCpYBESeu09Q81LP93q8IPxZiOG7Zoon6tu1uxosqjMge7gKLw7KIq4/lFVcbzi6qssj+/5f3B\nBpsNLGRkZGjQoEH6448/JEmvvvqqHnvssTKvazQaJV0MQ4wfP/6q8x999FFJUo0aNUxhg/JYoyQu\nb4WZnZ1dqjejymMNALgkMjFGt855XEfPnTI7HxpYR8sffU91/WtaqTIAAABUBpc+4Z+enl7sa9LS\n0iqqnDKZP3++6Yf08+bNMwsrXFK3bl29/fbbGjlypM6cOaPPP/9cEydOLNF9vL29Ta+HDRsmOzu7\nAuf169dPbm5uSk9P186dOwtcIykpqch7ZWdnm/7beHl5lahOW/9QQ03fILPj2POJ1fLrLKvKFuwC\niotnF1UZzy+qMp5fVGWV8fkt73psMrCQlZWl4cOHa9u2bZIubrvw3HPPlcvaTZo00ZgxY4qcs3//\nflOHhEGDBsnd3d3sG/jyWKMkjhw5Ikny9PQs8ScfynMNAJCkU9FnNfq9RxWeEGV2vlWdJvrikXcV\n4FW8PW0BAABQfV3qrLBz507dcccdV52fkZGhv//+W5JUs2blCr/++uuvki52L+jevfBP0vfv39/0\n+rfffitxYKFx48am13Xr1i10nr29vWrVqqXjx48rOjrabKxhw4bavHmzEhISdP78eXl4eBS4Rnh4\nuPLy8iSpUnWzqAqCfALMjqOTYq1UCQAAAABYhs0FFnJycjRmzBht2rRJkvTkk09q+vTp5bZ+3759\n1bdv3yLnPPvss6awwZw5c1S/fv1yX6O49u3bZ/rERK9evay2BgBI0oGzR3XrnMcVn2reTqhL43Za\n+uBb8nQlEAUAAADphhtu0Jtvvqlly5bpf//731W3hnj77beVkZGhkJAQsx/cVwbnz5+XJHl4eBTa\n9UC6GGhwcnJSVlaW6ZqSaNOmjel1VlZWkXMvjV/eTVGSWrdubXq9b9++QgMWe/fuNb1u1apViWu1\nZSFXBBYiCSwAAAAAqOYK/064GsrLy9Odd96pdevWSZIeeeQRvfnmmyVe59tvv9Xy5cu1Zs2acq6w\nfB05ckSZmZmFjh86dEgjRowwferhiSeeqJA1AKA4dhzbqxFvP5gvrNC/zQ368tF3CSsAAADApF+/\nfqpfv77Onz+v/v376+jRowXOMxqN+uCDD/Tiiy9Kku6//35Lllksl7aAiI+PLzKIcO7cOVOQICAg\noNB5henVq5fc3NwkXezaWJikpCSFhYVJuthR4XIDBgwwvf72228LXeO7776TdHHrjptuuqnEtdqy\nIG9/s+Po5DgrVQIAAAAAlmFTHRaefvppffHFF5Kka665Rl26dNHy5csLnR8cHKyePXvmOz9lyhQd\nPXpU3t7eGjFiREWVW2YvvfSSvv76a/Xp00fNmjVTcHCwatSooYSEBP36669at26dsrOzJV3cFuOG\nG26okDUA4Go2/f2LJi6Yqgs55p/0GtNloGbf/pwc7G3qf1cAAAC4CkdHR82bN0+DBw/WP//8o5Yt\nW6p///66/vrrFRgYqKysLJ04cUIbN240hRlatWpVKUP23bp10/r165Wbm6slS5booYceKnDeggUL\nTK+vv/76Et/Hzc1Nt9xyi5YsWaJVq1bptddeM4UlLjd//nzThxIGDRpkNtagQQNdf/31+vXXX/XJ\nJ5/o6aeflq+vr9mc8PBw03stgwcPzjeOotFhAQAAAICtsamfAO3evdv0+ujRoxo3blyR83v37l1g\nYKGqaN68ub7++mutX79e69evL3BOrVq1NGvWLN1+++0VtgYAFGX5jq/1xGevKTcv1+z8AzfdphdG\nPCyDwWClygAAAFCZ3Xzzzfr00081adIkXbhwQV9//bW+/vrrAue2b99e69evl7t75evaNWHCBM2c\nOVMpKSl66qmn5Ofnp1tvvdX09+C8vDwtXLhQM2fOlHTxe/CRI0fmW2f69OmmzgmfffaZXFxcCpyz\ncuVKpaSkaNiwYVq5cqVq1aplGv/yyy/10ksvSbr4QY+xY8fmW+O1117TDTfcoNjYWI0ePVorVqww\nhRKioqI0cuRIpaWlydHRUTNmzCjbvxwbFOxDhwUAAAAAtsWmAgs33nijgoODiz2/sH0WBw4cqLZt\n25b6jY42bdpozJgxklSha7zwwgt65plntH37du3bt0+RkZGKi4uTq6urateurc6dO6tXr15ycCj8\nMSiPNQCgMB/++LleXj0n3/mpwx/Sw/3usEJFAAAAqEruvPNOdenSRa+//ro2btyo2Nj//zS6nZ2d\n2rRpo3vvvVf33HOPnJ2dK6SGv/76yxQmuCQ1NdU0NmrUKLOxpUuXmrZmkCR/f399/vnnGjVqlDIy\nMjRu3Dg9++yzatWqlfLy8vTXX38pMjJSkuTp6amVK1fK1dU1Xx2//PKLtmzZIklavHhxgbXWrVtX\nX331lYYPH66dO3cqNDRU1113nXx8fHT48GGdOHFCkhQSEqJ169bJ0dEx3xrXX3+93njjDT311FPa\nvHmz6tatqy5duig3N1c7duxQZmamDAaDPv74Y7Vo0aKY/xZxSQ0PXznY2Svnv0B3cnqq0rMy5eaU\nP4ACAAAAANWBTf2U+YUXXiiXdWbPnl2m68eOHVvgpxQqYg1nZ2f16dNHffr0KfW9ymMNALic0WjU\nq+s+1JxNS83O2xns9OZtz+i264daqTIAAABUNU2aNNEnn3wio9Goc+fOKT4+Xs7OzgoJCZGXl1eF\n3z8qKkqrV68ucCw6Ojrf2MKFC80CC9LFrRd27dql559/Xt9++63Onj2rs2fPmsadnJw0YsQIvfLK\nKwoNDS1TvYMGDdKff/6pyZMn65dfftH27dtNY87Ozho7dqxeffVVhYSEFLrGk08+qUaNGunZZ5/V\n0aNH9eOPP5rGWrdurbffflu9e/cuU522ys7OTkHe/opIjDadi06KVYPAOlasCgAAAAAqjk0FFgAA\n1pebl6tnvnhDn/1qvs2Mk4OjPrj7ZQ1qf6OVKgMAAEBltGvXLl1zzTVXDR8YDAbVqlXLbIsDS2jX\nrp1WrlxZ7PmFdUls1aqVNmzYoLS0NO3fv1/x8fEyGAwKDAxUq1atCtzi4XIvvvii7r//fkkqsAPD\nlTX//PPPioyM1NGjR5WSkiJ/f3+1a9fuqtdeMmzYMA0bNkxHjhzRv//+K4PBoNDQUDVq1KhY16Nw\nwT4BZoGFSAILAAAAAKoxAgsAAIu5kJ2lBz99Ud/s+8nsvLuzm5Y88Iaub9rRSpUBAACgsnr55Zf1\n448/qlevXho2bJiGDh1a5Kf/LS0oKCjftg9l4e7uri5dupT4uu7du5f4mpCQkDL/u2zatKmaNm1a\npjVgLtgnwOw4Kim2kJkAAAAAUPXZWbsAAIBtOJ+ZptvnTckXVvDz8NHqKfMIKwAAAKBAnp6eysrK\n0qZNm/TAAw+oVq1a6ty5s2bNmqUjR45Yuzyg3AX7+JsdRyXFWakSAAAAAKh4BBYAABUu/nySRr7z\nsLYf2W12vpZvkNY/OV9t6zWzUmUAAACo7L788kvt2rVLzz//vFq0aCGj0ag//vhDzz33nJo1a6am\nTZvqmWee0c6dO2U0Gq1dLlBmdFgAAAAAYEsILAAAKlREQrSGvjlJf/972Ox84+B62vDUx2ocXN86\nhQEAAKDK6Nixo2bOnKmDBw/qxIkTevPNN9WtWzfZ2dnp6NGjeuONN9S1a1fVrFlTkyZN0rfffqsL\nFy5Yu2ygVIK9rwgsJBNYAAAAAFB9WSSwsG7duhJ/ysFoNOqtt97S/v37K6gqAEBFOx51RkPenKgT\n0f+anW9br7nWPfmRavkFWakyAAAAVFUNGzbUk08+qV9//VVRUVFauHChBg0aJBcXF0VFRenjjz/W\nwIEDFRAQoNGjR+uLL75QcnKytcsGii2EDgsAAAAAbIhFAgszZ85U3759FRUVVaz50dHR6t+/v556\n6illZWVVcHUAgIqw78whDX1zkiISo83Od2/aUasmz1ENDx/rFAYAAIBqIyAgQPfcc482btyouLg4\nrVq1SnfccYf8/PyUmpqqlStX6rbbblNAQID69u2refPmKTw83NplA0UK8vE3O45KjrNSJQAAAABQ\n8Sy2JcTmzZvVpk0bff/990XO++GHH9SmTRv98MMPkiR7e3tLlAcAKEfbj+zSqHceVkKa+SfZBrbr\npc8eelseLu5WqgwAAADVlbu7u0aOHKmlS5cqOjpaW7Zs0SOPPKK6desqOztbP/74ox5++GHVrVtX\nnTp10sGDB61dMlCgKzssRCfFlbhzKQAAAABUFRYJLDz66KNyc3NTTEyMbr75Zj355JPKzs42m5Od\nna2nnnpK/fv3V3R0tFxdXTV//ny1a9fOEiUCAMrJ13u36ra5U5R2Id3s/B3dh+nj+2bK2dHJSpUB\nAADAVjg4OOjGG2/U+++/r3///Vd79uzRCy+8oNatW8toNGr37t06c+aMtcsECuTh4i53ZzfT8YWc\nLCWmpVixIgAAAACoOBYJLIwfP167d+82vTEwe/Zsde3aVSdOnJAknTx5Ul27dtVbb70lo9Goli1b\nateuXZo0aZIlygMAlJPPtq/TxAVTlZVjHkp7rP+demPcM7K3o2sOAAAALK99+/Z6+eWX9ffff+vU\nqVN6++23Vbt2bWuXBRTqyi4LUUkxVqoEAAAAACqWxbaEaNasmf744w89+OCDkqTdu3erffv2evrp\np9WuXTvt3r1bkjRp0iT9+eefatGihaVKAwCUkdFo1JxNS/Xk57OUZ8wzG3tp1KN6btgDMhgMVqoO\nAAAA+H8NGjTQ5MmT1bZtW2uXAhQqyMff7DgqOc5KlQAAAABAxbJYYEGSXFxcNG/ePK1du1a+vr5K\nTU3Vm2++qdTUVPn6+mr16tWaP3++XF1dLVkWAKAMjEajXl49R6+s/cDsvL2dvd67c5ru7zPOSpUB\nAAAAQNWUv8NCrJUqAQAAAICKZdHAwiUNGjRQQID5N17XXnutbrzxRmuUAwAopZzcHD2+dKbmb/7C\n7Lyzg5M+nfSaxnQZaKXKAAAAUF2lpqYqNTW1wLEjR47ogQceUMuWLVWzZk21aNFC9913nw4cOGDh\nKoGyCb4isBBJYAEAAABANWXxwMK8efN03XXX6dixY7Kzs1P79u0lSZs2bVLbtm21Y8cOS5cEACiF\njKxM3fPRc/pq5zdm5z1d3PXlo++qX5sbrFQZAAAAqqPly5eradOm8vLykpeXl2rXrq133nnHNP7N\nN9+oTZs2mj9/vv755x9FRkbq0KFDWrhwodq1a6dPPvnEitUDJRPsbb4lRHQSW0IAAAAAqJ4sFlhI\nTEzUiBEj9PDDD+vChQuqWbOmtmzZot27d2v27NlycnLSv//+qxtuuEEzZ85UXl7e1RcFAFhFSsZ5\njZszWZv2bzc77+/pqzVTPlDXJu2tVBkAAACqo08++URjx47V0aNHTeciIiI0ZcoUzZo1S8ePH9fo\n0aOVlZUlSfLw8FBgYKAcHBwkSbm5uZo0aZJ27dpllfqBksrfYSHGSpUAAAAAQMWySGDht99+U9u2\nbbV27VpJ0sCBA/X333+rZ8+eMhgMmjJlinbs2KFGjRopNzdX06ZNU+/evXXu3DlLlAcAKIHYlASN\nfPtB7Ty+z+x8nRoh2vDkR2pV9xorVQYAAIDqKDk5WVOmTJEkOTs7a8CAAZowYYJatWolSXrrrbc0\nd+5cpaenq2/fvvr777+Vmpqq6OhopaSkaOnSpfLx8VFubq5mzJhhzS8FKLYrAwvRyXRYAAAAAFA9\nWSSw8Nhjj+ns2bNycnLS22+/ra+//lr+/uat7Tp06KB9+/bp9ttvlyT9/PPPatOmjc6ePWuJEgEA\nxXA27pyGvjVJB8KOmZ2/pmaoNj71sUKD6lqpMgAAAFRXGzZsUEpKilxcXLR9+3Z9++23+vTTT/X3\n33/r4YcfVnx8vD744AM1btxYGzZsUOvWrU3Xurq66o477tDSpUslSd9//70yMzOt9aUAxZa/w0Ks\nlSoBAAAAgIplsS0hGjVqpB07dmjy5MmFzvHw8NCyZcu0ZMkSeXh4KC4uTjExtLwDgMrgyLlTGvLm\nJJ2KCTM736FBS6174sN8b6gBAAAA5eHSNg533HGHOnXqZDpvMBg0c+ZMubu7KycnR+PHj5ezs3OB\nawwePFg1a9ZUdna2Dh8+bJG6gbII9KphdhyXmqjs3BwrVQMAAAAAFccigYWxY8dq79696tChQ7Hm\njx8/Xnv37lX79uyBDgCVwe5TBzTsrfsVlWz+qZ5eLTprxeNz5OvubaXKAAAAUN1FRUVJkjp27Jhv\nzNvbW40bN5YkNW3atMh1rrnm4tZl8fHx5VwhUP6cHBzl7+lrOjYajYpJ5tkFAAAAUP1YJLDwxBNP\nyNPTs0TXNG7cWDt37lSTJk0qqCoAQHH89M/vuuXdR5SUnmJ2fljHm7TkgTfl7uxqpcoAAABgCzIy\nMiRJwcHBBY6HhIRIklxcXIpcx83NTZLYEgJVxpVd7KKT2RYCAAAAQPVjsS0hSsPJyUleXl7WLgMA\nbNa63T9q/AdPKiPL/E3dCT1G6YO7X5aTg6OVKgMAAICtMBqNkiQ7u4LfwijsPFDVXRlYiEwisAAA\nAACg+nGwxk0PHz6sHTt2KDo6Wunp6XrwwQdVs2ZNa5QCACjE4m2r9dzyt0xvEF/yxMB79OSge2Uw\nGKxUGQAAAABUfyFXBBaikuKsVAkAAAAAVByLBhb+/vtvPfjgg9qxY4fZ+WHDhpkFFu68806tXr1a\ny5Yt0/Dhwy1ZIgDYPKPRqHe+XaQ3Nn6cb2zmmCm6t9doK1QFAAAAALYlyNvf7DiKDgsAAAAAqiGL\nBRZ++eUX9evXz7RXpLOzs3Jzc5WTk5Nvbs+ePbV06VJ9//33BBYAwILy8vL0wsp3tfCnFWbnHezs\n9d6d0zTyuv5WqgwAAAC27t1339WqVavynf/777+LHL9yHlBVXNlhgS0hAAAAAFRHFgkspKena8yY\nMcrMzFSbNm30zjvv6IYbbtB1112nPXv25Jvfr18/SdKPP/5oifIAAJKyc3P0+JIZWv3nJrPzro7O\nWjDxNfVp1dVKlQEAAADSli1byjQOVDVB3uaBhehkAgsAAAAAqh+LBBY+++wzRUVFKTQ0VNu2bZO3\nt3eR82vWrClnZ2edPn1a58+fl4eHhyXKBACblZ6VqYkLntfmA7+Znfd289SyB9/StY3aWKkyAAAA\nALBNIb7mgQW2hAAAAABQHVkksPDTTz9JkiZPnmwWVjAYDIVeExQUpLNnzyoiIkLXXHNNhdcIALYq\nOT1Vd8x7Qn+e3G92PsjbX8sffVfNajWyUmUAAACAtHbtWuXm5pbbek5OTuW2FlCRgrz9zY6jkuKs\nVAkAAAAAVByLBBbCw8MlSW3bti32NT4+Pjp79qwyMzMrqCoAQHRynMa+/7gORZwwO18/oLa+evQ9\n1QuoZaXKAAAAgIscHR3l6Oho7TIAi6vh4SNHewdl5+ZIklIz05SWmS53FzcrVwYAAAAA5cfOEjex\nt7eXJBmNRrPzRXVYiI292ObuattHAABK50xsuIa8OSlfWKFF7cba8ORHhBUAAAAAwIoMBkP+LgvJ\ndFkAAAAAUL1YJLBQq9bFH3odOHCgWPNPnjypyMhIubi4KCQkpCJLAwCbdCj8uIa8OUn/xkWYnb+u\nURutmfKBAr1rWKkyAAAAAMAlIT4BZseRSbFWqgQAAAAAKoZFAgs9e/aUJC1YsMBs38nCOizMnDlT\nktStWzc5OztXeH0AYEv+OPGXhs1+QDEp8Wbnb2rVTV8++p683TytVBkAAAAA4HJBVwQWogksAAAA\nAKhmLBJYuPXWW1WjRg399ddfmjhxojIzMwucl52drWnTpmnx4sWSpEceecQS5QGAzfjxwG+69b3H\nlJJx3uz8qOsG6NP7X5ebk4uVKgMAAADyGzRokAwGQ7n++vrrr639ZQHFRocFAAAAANWdRQILnp6e\nmjdvniTp008/VePGjfXYY48pKipKkrRq1So99thjatSokam7wsiRIzV06FBLlAcANmHVH9/prg+f\nVkb2BbPzE2+8Ve/fOU2O9g5WqgwAAAAAUJDgKwILUQQWAAAAAFQzFvvp1JgxY3T+/Hk9/PDDCg8P\n1/vvv28ae/31183mDh06VEuWLLFUaQBQ7S3c+pWmrngn3/lnh0zSYwPuKnSLHgAAAMCaHnjgAfXv\n37/Q8fDwcL377rvKzc1V79691aFDB/n7+ysrK0v//vuvtmzZomPHjqlZs2a6//77ZWdnp5YtW1rw\nKwDKJtjb3+w4KjnOSpUAAAAAQMWw6Mdp77nnHvXs2VNvv/22Nm7cqLCwMNOYo6Ojunbtqoceekij\nRo3ih2cAUA6MRqPe2LhA73z7qdl5g8GgWWOf0p03jLBSZQAAAMDVDRw4sNCxX375Rc8//7y6dOmi\nxYsXq169egXOW7Fihe655x6tX79e33zzjVxc2AYNVQcdFgAAAABUdxbv/92wYUPNmzdP8+bNU0JC\nguLj4+Xs7KygoCA5OztbuhwAqLZy83L1v+WzteSXNWbnHe0dNHfCSxrasY+VKgMAAADKJjExUcOG\nDVNQUJC+/fZbubq6Fjp39OjRcnV11ZAhQ/Tkk09q7ty5FqwUKBsCCwAAAACqOztr3tzPz0+NGzdW\n3bp1CSsAQDnKysnWg5++mC+s4Obsqs8emk1YAQAAAFXakiVLlJiYqEmTJhUZVrhk8ODBatiwoT75\n5BMlJydboEKgfFy5JUR0cpzy8vKsVA0AAAAAlD+rBhYAAOUv7UKGxn/wpNbv3mx23tfdS6sen6Me\nza+zUmUAAABA+fjrr78kSQ0aNCj2NaGhocrMzNSRI0cqqCqg/Lm7uMnTxd10nJ2bo4Q0QjcAAAAA\nqo9y3RIiKyur3FPezs7OMhgM5bomAFRXCeeTdfu8Kdp7+h+z8yE+AVr+6Pu6pmbx39AFAAAAKqv0\n9HRJ0rlz54p9TUREhCQpLS2tQmoCKkqwT4BSo/7/uY1KipW/p68VKwIAAACA8lOuHRa6du0qV1fX\ncv21Z8+e8iwRAKqtyMQYDZt9f76wQsOgutrw1MeEFQAAAFBthIaGSpIWL15crA9O7Ny5U4cOHTK7\nFqgqgn3Mt4WISoqzUiUAAAAAUP7YEgIAqoFT0Wc1+M2JOhZ52ux867rXaN0T81WnRoiVKgMAAADK\n3+jRoyVJe/bs0R133KHU1NRC5/7+++8aOXKkJOnaa69V/fr1LVEiUG6CfQLNjqOSYqxUCQAAAACU\nv3LdEmLatGmKjY0tdPzgwYOaO3euXFxcNHDgQLVt21a+vr7KzMzUyZMn9cMPP+jYsWPq1KmT7rvv\nPhkMBt5IAICrOHD2qG6d87jiUxPNzndt0l5LHnhTnq7uhVwJAAAAVE3t27fXpEmT9NFHH+mLL77Q\npk2bNGLECHXo0EE1atRQdna2/v33X23ZskVbtmyR0WiUs7Oz3n//fWuXDpRYiE+A2XFUMh0WAAAA\nAFQf5RpYGDp0aKFjK1as0IcffqiRI0fqww8/lJ+fX4Hzli5dqkmTJunrr7/W6tWr5eBQriUCQLXy\n29E9uvPDp3Q+M93s/IA2PfThvdPl4uhspcoAAACAijVv3jzl5eVpwYIFio+P14IFC7RgwYIC59ao\nUUOfffaZrrvuOgtXCZRdkPeVW0IU/mEhAAAAAKhqLJIGOHHihMaPH69OnTrpyy+/lJ1d4TtRjB8/\nXnl5eZowYYJmzJihl19+2RIlAkCllp6VqbV/btK63T8qNiVRAV6+ahRUT5//ukFZudlmc8d2Haw3\nb3tGDvYEvgAAAFB92dvb6+OPP9a4ceM0Z84cbd68WSkpKWZzGjZsqDFjxuixxx5TYGBgISsBlduV\nHRYiCSwAAAAAqEYs8tOsjz76SBcuXNBDDz1UZFjhkjvuuEOTJ0/W3LlzNW3aNLosALBpp2PCNHbO\nZJ2JDTedO3JO2n5kd765D950m6aNeFgGg8GSJQIAAABW07NnT/Xs2VN5eXkKDw9XUlKSHB0dFRwc\nLF9fX2uXB5RZsI95h4VotoQAAAAAUI1YJAmwf/9+SVK9evWKNd/e3l61a9fWwYMHFR4ervr161dg\ndQBQeaVnZeYLKxRm6vCH9HC/OyxQFQAAAFD52NnZqW7duqpbt661SwHKVbCPeXcQOiwAAAAAqE6u\n3u6gHGRkZEiSIiIiijU/Ly9PkZGRZtcCgC1a++emYoUVRne+mbACAAAAAFRDAV5+Zl304lMTlZWT\nXcQVAAAAAFB1WCSw0KhRI0nSxx9/XKz5q1atUnx8vBwdHflkBACbtm73j8WaF5kUU8GVAAAAAACs\nwdHeQQGefmbn2BYCAAAAQHVhkcDCrbfeKknavHmzJk6cqLS0tELnbtiwQffee68kafDgwXJ3d7dE\niQBQKcWmJBZrXlxq8eYBAAAAVcnnn3+uc+fOVcjamzZtMm1hCVR2wT7+ZscEFgAAAABUFxYJLPTt\n21e33HKLJGnBggWqV6+e7r33Xs2dO1eff/65PvnkE02dOlUdO3bU0KFDlZqaKh8fH7355puWKA8A\nKq0AL99izfP3LN48AAAAoCr58ssv1bBhQ02ePNm0dWRZbd68Wd26dVP//v119uzZclkTqGjBPgFm\nx5GJsVaqBAAAAADKl4OlbrRs2TI5OTnp888/V3x8vD755JNC59avX1+rVq1SaGiopcoDgEppWMeb\ntP3I7qvOG96prwWqAQAAACzrpptu0ubNm/Xuu+9qzpw56tu3r8aPH68hQ4bIzc2t2OucOHFCn332\nmZYtW6ZTp05Jkpo0aaImTZpUVOlAuboysBCdTGABAAAAQPVgscCCs7OzPvvsM91111364IMP9NNP\nPykpKck0bm9vrzZt2mjcuHGaNGmSPDw8LFUaAFRajg5X/2O6fkBtDSOwAAAAgGroscce05AhQ/TM\nM89o5cqV+u677/Tdd9/J0dFRrVu3VufOndWqVSvVqFFDfn5+cnV1VWJiohISEhQREaFdu3bpjz/+\nUHh4uGlNPz8/vfDCC3rwwQfl6Ohoxa8OKL5g7ys6LCQRWAAAAABQPVgssHBJnz591KdPHxmNRkVH\nRys5OVkuLi4KDAyUq6urpcsBgEorPCFK01a8W+Sc+gG19eUj78jNycUyRQEAAAAW1qBBA61YsUJ7\n9uzR3Llz9dVXXykjI0N79uzRnj17ir3ONddco4kTJ+ruu++Wj49PxRUMVID8HRbirFQJAAAAAJQv\niwcWLjEYDAoODlZwcLC1SgCASis3L1ePLHpZyemppnP2dvZqU7epMrIz5e/pq+Gd+mpYp76EFQAA\nAGATOnTooEWLFuntt9/W8uXLtXXrVv3yyy+KiYkpcL6dnZ3atm2rHj16aPDgwerVq5eFKwbKT7CP\nv9kxHRYAAAAAVBdWCywAAAr3wQ+fa+fxfWbnXhz5iCb2vtVKFQEAAACVg6+vrx544AE98MADkqR/\n//1XUVFRio2NVUZGhmrUqKGAgADVq1dPXl5eVq4WKB8hV3RYiCKwAAAAAKCasEpgwWg0KiYmRikp\nKcrNzS1ybv369eXiwqeHAdiOfWcO6fUNH5md69n8Ot3ba7SVKgIAAAAqr3r16qlevXrWLgOoUEHe\nVwYW2BICAAAAQPVg0cDC1q1b9e677+rnn39Wamrq1S+QtGvXLnXs2LGCKwOAyiEtM10PffqicvL+\nP8zl5+Gj9+6cJjs7OytWBgAAAACwFl93Lzk7OOlCTpYkKe1CulIz0uTp6m7lygAAAACgbCz206+X\nX35ZvXv31saNG4sdVgAAW/PCynd1KibM7Nw7d/xPQd7+hVwBAAAAAKjuDAaDgnzMvy+MSmZbCAAA\nAABVn0U6LPz222966aWXJEl+fn4aP368OnXqpBo1asje3r7Ia6+55hoLVAgA1vfNvp/0+W8bzM6N\nv2G4+rW5wUoVAQAAAAAqixCfAJ2NO2c6jkqKVePg+tYrCAAAAADKgUUCC0uWLJEkNWnSRNu3b1dg\nYKAlbgsAVUZkYoye/Ow1s3ONgurppVGPWakiAAAAAEBlcmXnvaikOCtVAgAAAADlxyJbQhw9elSS\nNHXqVMIKAHCFvLw8PbpkuhLTUkznHO0d9ME9L8vNycWKlQEAAAAAKosQnwCz46gktoQAAAAAUPVZ\nJLDg6OgoSWrUqJElbgcAVcr8zV9q+5HdZueeHXq/WtdtaqWKAAAAAACVTfCVgYVkAgsAAAAAqj6L\nBBZat24tSYqKirLE7QCgyjhw9qheW/+h2bnrr+moB/qMs1JFAAAAAIDKKF9ggQ4LAAAAAKoBiwQW\n7r//fjk6OurLL7+0xO0AoEpIz8rUg5++oOzcHNM5HzcvzbnrBdnZWeSPZwAAAABAFeHr7m12/Mvh\nXfr81/VKz8q0UkUAAAAAUHYW+YlYkyZN9NFHH2n16tV67733LHFLAKj0Xl71vo5H/Wt27q3bn1WI\nb6CVKgIAAAAAVEanY8L0xGevmp1LzUzTE5+9phtn3K7TMWFWqgwAAAAAysbBEjf5+++/1bhxY02b\nNk1PPPGEvvrqK916661q2rSp3Nzciry2bdu28vDwsESZAGAxm/7+RUt+WWN2bly3wRrU/kYrVQQA\nAAAAqIzSszI1ds5kRSREFzh+JjZcY+dM1tZpn8nNycXC1QEAAABA2VgksHDPPfdoz549puOdO3dq\n586dxbp2165d6tixY0WVBgAWF50cp8nLzD8Z0yCgtmbcMtlKFQEAAADVU05OjoxGoxwdHa1dClBq\na//cpDOx4UXOORMbrnW7ftC4bkMsVBUAAAAAlA82SQcAC8rLy9NjS2Yo4XyS6ZyDnb0+uGe63F2K\n7jgDAAAA4P/t2bNHmzdvVmJiYr6xo0ePqnfv3nJ2dpazs7O6d++uv/76y/JFAuVg3e4fizVv7a4f\nKrgSAAAAACh/FumwsGzZMqWlpZXq2ubNm5dzNQBgPZ/8tFI/H/rD7NzTQyaqXX3+rAMAAACK68KF\nC+rdu7cyMzMVHW3eJj8lJUV9+vRRePj/fyL9119/Va9evbRnzx6FhoZaulygTGJT8odyChKXWrx5\nAAAAAFCZWCSw0KxZM0vcBgAqtUPhxzVj7Vyzc50bt9NDfW+3UkUAAABA1fT9998rOTlZI0aMkLe3\nt9nYRx99ZAor3HrrrQoNDdXChQsVExOjadOm6fPPP7dGyUCpBXj56si5q8/z9/St+GIAAAAAoJxZ\nJLAAALYuIytTD376krJysk3nvFw9NHfCi7K3s7diZQAAAEDVs3v3bklShw4d8o19+eWXki6GFS69\nHjBggLp37661a9fqwoULcnZ2tlyxQBkN63iTth/ZfdV5wzv1tUA1AAAAAFC+7KxdAADYgplr5+nI\nuZNm59647RnV9gu2UkUAAABA1RUZGSlJql27ttn5xMRE/fXXX5Kk8ePHm85ff/31atCggTIyMnT0\n6FGL1QmUh+HX9lP9gNpFzqkfUFvDCCwAAAAAqIIILABABdt8YIc++Wml2blbOt+sYR1vslJFAAAA\nQNUWHx8vSXJ3dzc7v2PHDhmNRtnb26t79+5mY/Xq1ZMkxcTEWKZIoJy4Obnoy0feKTS04O3mqS8f\neUduTi4WrgwAAAAAyq5ct4TYtm2bEhMTJUk9e/aUj49PvvMldfk6AFDVxKYk6PGlM8zO1fOvpVfH\nPGGligAAAICq71JQISoqyuz8Tz/9JElq3bq1PDw8zMby8vIkSQ4O7I6JqqdBYB1tnfaZ1u36QfM3\nf6ljkadNY/X9a6lBYB0rVgcAAAAApVeu36U/8cQT2rNnjyRp165d6tixY77zJXX5OgBQlRiNxv9j\n776jo6rWN44/k17okAChdwJI7y2USAcBaQKCgKLCBQFFRa/9qliQjjQFKWIBQZAO0kECoUPoNXRC\nAkkgfX5/8GN0TAJJSOZMku9nrbvW7Pfss+cBj3eZyTt7a+T8T3Ur/O+GLUcHR00d+KFyunsmfyMA\nAACAR6pQoYIkaeXKlRo6dKgkKT4+XkuWLJEkNW/ePNE9D4+R8PHxsVFKIH15uLipd6NOalmloaq9\n1cFSP3zppEIj7yivZ24D0wEAAABA2nAkBABkkLlblmjD4R1WtVHtB6p26acMSgQAAABkDR07dpQk\nrV69WiNGjNCqVavUv39/nT9/XpL07LPPWs1PSEjQlStX5OjoqKJFk95WH8gsCuYuIN8iZSzjBHOC\nth9P2xeFAAAAAMBo6brDwqpVqxQTEyNJKliwYJL11PrnOgCQWRy/clYfLZlsVatT+im91qa/QYkA\nAACArKN69erq1auXfvrpJ02cOFETJ060XGvdurUaNmxoNX/Pnj2KjIxUw4YN5eHhYeu4QLrz862n\noMtnLOOtxwPUsVYLAxMBAAAAQNqka8OCt7d3quoAkBVFx8ZoyHfvKyo22lLL6eapKQM/kpMj5+UC\nAAAA6WHOnDkqUKCA5syZo8jISLm5ualXr14aP358ormrV6+W9KCZAcgK/HzravqGHy3jzcd2y2w2\ny2QyGZgKAAAAAFKP35wBQDr77Pdvdezyaava2OdGq0QBzsoFAAAA0oubm5smT56sb775RiEhIfL2\n9paDQ9InX/bp00dt2rRR+fLlbZwSyBj1ylWXq5OLouMe7Gh6KeSqzt8MVinvYgYnAwAAAIDUSfon\neQBAmmw5tlszNiyyqnWt00rP1mtjUCIAAAAga3N2dlahQoWSbVaQpHLlyql+/frKly+fDZMBGcfD\nxU11y1a1qm0+ttugNAAAAACQdjQsAEA6CYkI0/AfPrGqFc1XSJ8/N9qgRAAAAED2FhcXp9jYWKNj\nABnCz7ee1Xhr0B6DkgAAAABA2tGwAADpwGw26/X5n+n6nVuWmoPJQVMGfKjcHjkNTAYAAABkTYGB\ngdqwYYNCQ0MTXTtx4oRatmwpV1dXubq6qkmTJjpw4IDtQwIZqFkl64aF7Sf2Ki4+zqA0AAAAAJA2\nNCwAQDpYsP13rTm41ar2Wtv+ql+uujGBAAAAgCwsOjpaLVu2VIcOHRIdBXH37l35+/vrzz//VEJC\ngsxms7Zv367mzZvr7NmzBiUG0l+lImWVP2deyzg8KlL7zx8zMBEAAAAApB4NCwDwhE5dO6/3fxlv\nVatZqrJGtR9kUCIAAAAga1uzZo3u3Lmj9u3bK3fu3FbXZsyYoeDgYElSr1699M4778jb21thYWF6\n7733jIgLZAgHBwf5VaxjVdt8bLdBaQAAAAAgbWhYAIAnEBMXq6Hff6D7sdGWmqerh6YN/EjOjk4G\nJgMAAACyrr1790qSatWqlejaokWLJD1oVli0aJE+/fRTLVmyRJK0dOlSRUdHJ7oHyKya+ta1Gm8N\nCjAoCQAAAACkDQ0LAPAEvlwxU4cunrCqfdpzlEp6FTUoEQAAAJD1Xb16VZJUtKj1f3eHhobqwIED\nkqR+/fpZ6o0bN1apUqV0//59nThh/d/vQGbm96+GhX3nj+nu/QiD0gAAAABA6tGwAABptP1EoKau\nW2BV61izpXo2aG9QIgAAACB7CAkJkSR5enpa1Xfu3Cmz2SxHR0c1adLE6lqJEiUkSTdu3LBNSMAG\nCuf1VvnCpSzj+IR47TgRaGAiAAAAAEgdGhYAIA1CI+9o2JwPZTabLTWfvN76qs9bMplMBiYDAAAA\nsr6HjQrXrl2zqm/atEmSVLVqVeXIkcPqWkJCgiTJyYmj25C1NPOtZzXefGy3QUkAAAAAIPX4KR0A\nUslsNuuNBWN1NeympWYymTT5hQ+UxzOXgckAAACA7KFChQqSpJUrV2ro0KGSpPj4eC1ZskSS1Lx5\n80T3PDxGwsfHJ0MyXb16VQEBAdq9e7cuXboks9msatWqafTo0SleIyIiQqtWrdK+fft069YtmUwm\neXt7q3bt2mrTpo3c3d2fKONXX32lgwcPPnaer6+v3n333QxbA+mrqW9dzfzzJ8t4S1CAgWkAAAAA\nIHUMaVgICgrSzp07df36dd27d09DhgzJsA8MACC9/bRrpVbu32RV+0+r59WoQi2DEgEAAADZS8eO\nHfX+++9r9erVGjFihFq1aqUff/xR58+flyQ9++yzVvMTEhJ05coVOTo6qmjRouma5YsvvtDUqVN1\n6dKlRNdu3bqV4oaFiRMn6r333lN4eHiS1/Ply6dx48bphRdeSHPWjRs3au3atY+d5+fnl2yzQXqs\ngfTVoHwNOTs6KTY+TpJ0/mawLty8rBJeRQxOBgAAAACPZ9OGhYMHD2rIkCHauXOnVb1z585WDQv9\n+/fXkiVLNH/+fHXp0sWWEQHgkc7duKR3fx5nVatavKJGd3zJoEQAAABA9lO9enX16tVLP/30kyZO\nnKiJEydarrVu3VoNGza0mr9nzx5FRkaqYcOG8vDwSNcs+/fv16VLl1SoUCHVqVNHdevW1RdffKGI\niIgUrzF27FiNGTNGkpQjRw7169dPlSpVUnx8vA4dOqQFCxbo9u3bGjBggOLj4zVo0KAnyly5cmW9\n/fbbyV4vWLCgTdZA+vB0dVedMlW18+Q+S21LUID6efGZGgAAAAD7Z7OGha1bt6p169aKioqSJLm6\nuio+Pl5xcXGJ5jZr1kzz5s3TmjVraFgAYDdi4+M05PsPdC/6vqXm7uKmaQM/kouTs4HJAAAAgOxn\nzpw5KlCggObMmaPIyEi5ubmpV69eGj9+fKK5q1evlvSgmSG9vf322/ryyy9VvHhxS23ChAkpbli4\ne/euPvroI0kPfsm/d+/eRLtAjBo1SvXr11d4eLjeeust9evXT87Oaf8ZpFChQurbt2+a70+vNZB+\nmlWql7hhoSmfqQEAAACwfw62eJN79+6pZ8+eioqKUrVq1fTnn38qMjJS1apVS3L+ww8Q1q9fb4t4\nAJAi4/6Yrf3nj1nVPuk+QmULlTAoEQAAAJB9ubm5afLkyQoNDdXVq1cVGRmpOXPmKE+ePInm9unT\nR7t27dJ//vOfdM9RvXp1q2aF1AoICLB8uWP48OFJHllRqVIly64KISEhOnbsWKI5yN6a+ta1Gm8/\nsVfxCfEGpQEAAACAlLPJDgsLFizQtWvXVLp0aW3ZskW5c+d+5HwfHx+5urrq3LlzioiIUI4cOWwR\nEwCStevUfk1c84NVrV11P/Vp/IxBiQAAAABIkrOzswoVKvTIOeXKlVO5cuVslCjtHtX48CRNEcj6\nnipWXvk8c+t25B1J0p174Tp4IUg1S1UxOBkAAAAAPJpNdljYtGmTJGnkyJFWzQomkynZex6edXj5\n8uWMDQcAj3HnXrj+M+cjmc1mS61Qbi993fedR/7/GAAAAAA8TtWqVS3HO+zduzfZeXv27JEkeXp6\nqkKFCjbJhszD0cFRjSvWtqptPhZgUBoAAAAASDmb7LAQHBws6cE2iSmVJ08eXbx40bItIgAYwWw2\n660fv9Tl29es6pNeeE/5cjx6txgAAAAAtnP16lUdPXpUt2/flqurqwoVKqTq1avL1dXV6GiP5O3t\nrZEjR+rLL7/U1KlT1bhxY3Xr1s1yPSEhQbNnz9ZPP/0kSfrggw/k5ub2RO958+ZNff311zp9+rTi\n4+Pl5eWlOnXqqFWrVvL09LTZGkhfzSrV0/LAjZbx1qAAjWo/0MBEAAAAAPB4NmlYcHR0lCSrbydL\nj95h4ebNm5L02OMjACAjLQlYo2V711vVXvHvneh8UAAAAADG+OGHHzRu3DgdPnw40TVXV1d17dpV\n77//vipWrGhAupQZO3ascubMqS+//FLdu3dXuXLlVLFiRcXHx+vIkSO6ePGi8ubNqw8++ECvvfba\nE7/foUOHNHr06ET1vHnz6r333tOIESMeu5tceqyRlNDQ0GSvhYWFWV7HxMQoJiYm1etnZQ3K1LAa\n7z17WLfvhimHm4dBidJXbGxskq8Be8ezi8yM5xeZGc8vMjN7f37T+2cxmzQsFClSRJJ0+PBhNWnS\n5LHzz5w5o6tXr8rNzU2FCxfO6HgAkKQLt67o7UVfWdUqFy2nMc+8YlAiAAAAAA/FxsaqR48eWrZs\nWbJzoqOjtWjRIv3++++aN2+enn32WdsFTAWTyaTXXntNnp6eeuedd3Tq1CmdOnXKcj1Hjhz6/PPP\n9fzzzz/xexUvXlwtWrRQ6dKlVaRIEYWHh+uvv/7S0qVLFRoaqlGjRikoKEgzZ87M0DWSky9fvhTN\n27Bhg3LkyJHq9bO6gp75dD3ytiQpLiFeU36arWoFyxmcKv1t2LDB6AhAmvDsIjPj+UVmxvOLzMwe\nn9+IiIh0Xc8mDQvNmjXTjz/+qFmzZunll1+27LiQXKf9//73P0lSo0aN7H7rRgBZU1x8nIZ+/4Ei\nou5Zam7Orpo28GO5OrsYmAwAAACAJA0fPtzSrODj46O+ffuqXr168vLyUnR0tM6fP6+1a9dq2bJl\nunfvnnr37q1du3apZs2axgZPwtGjR9W+fXtduHBBefLk0Ysvvqhq1aopISFB+/bt08KFC/XKK69o\n4sSJWrVqlUqWLJmm95k4caLKly+f6POY1157TWfPnlWnTp109OhRzZo1Sy1btlTPnj0zZA1kHN8C\npSwNC5J0LORclmxYAAAAAJB12KRhoVevXhozZowOHDigwYMHa+rUqUmetxgbG6uPP/5Yc+fOlSQN\nGzbMFvEAIJEJq+dq71nrLWU/7DZcFXxKGZQIAAAAwEOnTp2yfHu/f//+mjZtmjw8Em97/+KLL+rA\ngQPq2LGjgoODNWbMGK1du9bWcR/p1q1bat68uW7evKkKFSpo06ZNiXabfPPNN+Xn56egoCD5+/vr\n8OHDcnd3T/V7VahQIdlrpUuX1sqVK1WxYkVFRUXp66+/TrLZID3WeJTbt28ney0sLEylS5eWJPn7\n+ytv3rypWjs7cCqaS5tnBVrGl+7fVNu2bQ1MlH5iY2Mt3y7z9/eXs7OzwYmAlOHZRWbG84vMjOcX\nmZm9P7+POsovLWzSsJAzZ05NnTpVvXr10vfff69169apa9euunbtmiRp8eLFmj9/vpYtW6aLFy9K\nkp599lk988wztogHAFb2nDmkb1Z+b1V7+qlG6t+0q0GJAAAAAPzT0qVLlZCQoNq1a+v777+Xg4ND\nsnOrV6+uJUuWqF69etq4caPCwsKUJ08e24V9jOnTp+vmzZuSpKlTpyZ5NGbp0qX1zTffqEePHjpz\n5ox+/PFHDRo0KN2zlChRQh07dtSvv/6qwMBA3b17V7ly5bLpGiltQnBxcZGLC7vf/Ztf5bpycnBU\nXEK8JOnMjYu6EXFbRfMVMjhZ+nJ2duafPzIlnl1kZjy/yMx4fpGZ2ePzm955kv+JPp317NlTs2fP\nlpubm4KDgzVp0iRLc8IXX3xhNX7mmWf0ww8/2CoaAFiE34/U0DkfKsGcYKl55cqnb55/N9ljbAAA\nAADY1tGjRyVJAwYMeGSzwkN169ZV5cqVFR8frxMnTmR0vFTZtm2bJMnd3V3NmjVLdl67du0S3ZMR\nKlWqJEkym826evWqYWsgbXK4eap26aesaluDAgxKAwAAAACPZ7OGBUkaNGiQjhw5oiFDhqhYsWJW\n15ydneXn56dffvlFS5culaenpy2jAYAk6Z2fx+nirStWtYn935NXrnwGJQIAAADwb3fv3pUkFSqU\n8m+N+/j4SJLu3LmTIZnSKjw8XJKUK1cuOTo6JjvP09PT8i2Wh3/+jBAdHW15ndZvzaTHGki7pr51\nrcabj+02KAkAAAAAPJ5NGxYkqUyZMpo6daouXryokJAQnTx5UhcuXFB4eLg2b96s7t278y1mAIZY\ntme9fv1rlVXtxeY91KJyA4MSAQAAAEjKw2MDzp07l+J7Hs7Nl8++mpELFCggSQoJCVFkZGSy865d\nu6aYmBhJkpeXV4bl2bVrlyTJzc3N0uRhxBpIu2aVrBsWth3fo/j/PyICAAAAAOyNzRsW/ilfvnwq\nV66cihcvLldXVyOjAMjmLoVc1Zs/fmFVq+hTRv/tOtSgRAAAAACSU7NmTUnSzJkzrb7Nn5w1a9bo\n9OnTcnV1tRxXYC8aNWokSYqLi9OCBQuSnff9999bXjds2DBDsqxbt05btmyRJD399NNp+qwmPdbA\nk6lWwle5PXJaxqGRd3X40kkDEwEAAABA8mzSsLBq1SqFhYXZ4q0AINXiE+I1bM5Huns/wlJzdXLR\nt4M+kpszH64BAAAA9qZr165yc3PTyZMn1alTJ12/fj3ZuatWrdJzzz0nSerSpYs8PDxsFTNFBgwY\noBw5ckiSXn/9dS1dutTqutls1rx58/Thhx9KenAMRvfu3ROtM3bsWPXt21d9+/ZNsoljxYoVWrp0\naZK7OMTHx+uHH35Qt27dJD04tvOjjz7KkDWQ8RwdHNW4Qm2r2tagAIPSAAAAAMCjOdniTd5//30d\nOXJEnTp1Ur9+/dSmTRs5OdnkrQHgsaasna+/Th+wqr3Xdah8i5Q1JhAAAACAR/Lx8dG7776r9957\nT+vWrVOpUqXUoUMH1a1bVwUKFFBMTIzOnz+v9evXa+/evZIeHCPx6aefpnuWQ4cO6csvv7SqRURE\nWK717dvX6trMmTOtmia8vb01b9489ezZU5GRkeratavKlSunqlWrKiEhQfv379f58+clSR4eHvr5\n55+TbLrYsGGDNm7cKEmaPn16op0NtmzZonHjxsnV1VVlypRRoUKFVKBAAYWHhyswMFA3btyQJLm6\numru3LmqUaNGovdIjzVgG36+dbVy/ybLePOx3Rrepr+BiQAAAAAgaTbrGoiOjtavv/6qX3/9Vd7e\n3urdu7f69etn+A+vD89/dHFxscn7xcXFWT64kKRcuXLJwSF1G12kZo3w8HDFxz/+nEIXF5dUfcsk\nJiZGTk5Oqc4O2Jt9547qqxWzrGrNK9fXoOY9DEoEAAAAICX++9//KiwsTOPGjdP9+/ctnzkkpXDh\nwlqyZIlKly6d7jmuXLmihQsXJnnt6tWria5NmTIl0c/fXbp00c6dO/XOO+9ow4YNOnXqlE6dOmW5\n7ujoqI4dO+rzzz9XxYoV05TzmWeeUXBwsNavX69jx47p2LFjVtddXV3VuXNnvf/++8kem5Eea8A2\n/CrVsxrvOXNIkdH35enqblAiAAAAAEiaTRoWFi5cqB9++EELFizQpUuXdOPGDU2YMEETJkzQU089\npX79+qlPnz4qXLhwhua4ceOGNm3apM2bN2vXrl26fPmyQkJCZDablS9fPtWvX18DBw7Us88+m2EZ\nXn31Vc2ePdsyPnfunEqWLJlhazRo0EBHjx597Jp9+vR55FmZknT8+HF9+eWXWrlypW7cuCEnJyeV\nLl1avXr10ujRoy1bWAKZRWTUPQ39/gPFJfzd1JM/Z15N7PeeTCaTgckAAAAApMTXX3+tLl26aPz4\n8dqwYYPu3Lljdb1cuXJ67rnnNHz4cOXPnz9DMlSrVk3z589P8XxPT88k67Vr19a6desUGhqqAwcO\nKCQkRCaTSd7e3qpevbpy5sz5yHXHjBmjF154QZLk5uaW6HqTJk3UpEkTJSQk6MyZM7py5Ypu3Lgh\nFxcXFS5cWNWqVUu0K0NGrAHbKFHARyW9iur8zWBJUmx8nHad3C//pxoanAwAAAAArNmkYaFChQr6\n7LPP9Omnn2rTpk2aN2+elixZooiICB0+fFijR4/W22+/raefflr9+vVT586d5e6e/h3fb775pn74\n4QermrOzsyTp9u3bWrVqlVatWqXWrVtr8eLF6f4L+A0bNlg1GthyDWdn50fuoJDcByYPLV68WP36\n9dP9+/ct68XFxenkyZP6+OOPtWDBAm3cuDHVzReAkf77y3id+/8Pbx4a//y78s6dMR9kAgAAAEh/\njRo1UqNGjZSQkKDg4GCFhYXJxcVFBQsWVN68eTP8/QsXLpzo2IcnkTdvXjVv3jzV97Vs2TJF8xwc\nHFSuXDmVK1cu1e+Rnmsg4/n51rU0LEjS1qAAGhYAAAAA2B2b7udvMpnUokULzZ07V9evX9f8+fPl\n7+8vBwcHxcfHa82aNerdu7cKFSqkF198UVu3bpXZbE73HDVr1tT06dN17tw5RUdHKzo6Wvv27VOH\nDh0kSWvXrlWfPn3S9T0jIiL00ksvSVKat0V8kjV69+6tsLCwZP83Y8aMZO/dv3+/+vbtq/v376ti\nxYravn27oqKidO/ePc2aNUvu7u46e/as2rdvr+jo6DT92QBbWxH4pxbtXGFVe8HvWbWq2tigRAAA\nAACehIODg4oXL66qVauqYsWKNmlWAOyZn29dq/HmoN0GJQEAAACA5Nm0YeGfPDw81LdvX61fv14X\nL17U2LFjVblyZUnS3bt39d1338nPz0/79u1Lt/esUKGC/vjjDwUGBurll19WyZIlZTKZZDKZVKNG\nDS1fvlzt27eXJC1fvlw7duxIt/d+6623dP78eXXo0EEdO3Y0bI20eOONNxQdHa08efJo48aNatSo\nkRwcHOTm5qYXX3xRc+fOlSQdO3ZM3377rc1yAWl1JfSGRi8ca1UrV6ik3n92mEGJAAAAAABIX40q\n1JKjg6NlfPLqOV0NvWFgIgAAAABIzLCGhX8qUqSI3nrrLR05ckR79+5Vo0aNLNfSc4eFMWPGWBoS\nkmIymfTee+9ZxmvWrEmX9926dau+/fZb5ciRQ1OnTjVsjbQ4efKk/vzzT0nSkCFD5OPjk2hOjx49\n9NRTT0mSpk2bZrNsQFokJCRo2NyPFHbvrqXm7Oikbwd9LA+XxOe8AgAAAACQGeX2yKkaJa136NwS\nFGBQGgAAAABImpPRAR46f/68FixYoPnz5+vkyZOG5Shbtqzl9ZUrV554vfv372vQoEEym8365JNP\nVLx4cUPWSKtly5ZZXnfr1i3Zed26ddPhw4d16tQpBQUFydfX1wbpgNT7dsOP2nEi0Kr2TudXVaVY\neYMSAQAAAEjOvn37dONG+n4jvFatWvLy8krXNQF75edbV3vPHraMtwYFqFfDDgYmAgAAAABrhjYs\n3L17V7/++qvmzZunbdu2We2mUKBAAfXq1UulS5e2aabg4GDL6zx58jzxeu+++65Onz6t2rVra9iw\ntG03nx5rPBQdHS0HBwc5OzunaP7DIznc3NxUtWrVZOfVq1fP6h4aFmCPDl08rrG/T7eqNa1YRy+3\nfM6gRAAAAAAe5f3339fKlSvTdc0VK1aoQwd+YYvswc+3rsat/M4y3nJ8jxISEuTgYBebrgIAAACA\n7RsW4uLitG7dOs2bN0+///67oqKiLNdcXFzUrl079e/fX+3bt0/xL9XT08KFCy2v/3k0RVrs2rVL\nEydOlKOjo2bOnClHR8fH35QBa0jS2rVr5ePjo6tXr0qS8ubNq/r16+v5559Xjx49kl33+PHjkqQS\nJUo88r1LlSqV6B7AnkRG39eQ7z5QbHycpZbXM5cmvfA+H9QAAAAAALKkGqUqK6ebp8KjIiVJIeGh\nOnb5NLsMAgAAALAbNmtY2L9/v+bNm6dFixbp+vXrVtdq166t/v3767nnnlP+/PltFSmRkydPavLk\nyZIe/AL+Sb5xER0drYEDByohIUFvvPGGatSoYcgaD127dk2S5O7urvv37ys0NFSrV6/W6tWrNXny\nZC1ZskSFCxdOdF9ISIgkPXa7zH9ef3hPSoWGhiZ7LSwszPI6JiZGMTExqVobmVdsbGySr9Pq/V/G\n6/T1C1a1L3q9qXweuXmukO7S+/kFbInnF5kZzy8yM3t+fo387+VZs2YpMjIyXdf08fFJ1/UAe+bs\n6KRGFWppzcGtltrmY7tpWAAAAABgN2zSsNC5c2f9/vvvVrUiRYqob9++6t+/v10cHxAZGalu3bop\nKipKJpNJU6ZMkYuLS5rX++CDD3T8+HGVLFlSH330kWFr1KhRQ4MHD1azZs1UqlQp5cyZU1FRUdq+\nfbs+++wzbdq0Sbt27VLbtm31119/yc3Nzer+hx8M/bv+b+7u7pbXERERqcqYL1++FM3bsGGDcuTI\nkaq1kTVs2LDhie4/cP2kFu5bblVrXKy6zFcitfrK6idaG3icJ31+ASPx/CIz4/lFZmZvz29qf8ZL\nT0k11gNIHT/fulYNC1uDAvSf1s8bmAgAAAAA/maThoXg4GBJkoeHh7p06aL+/furZcuWdrMNe3x8\nvPr06aPDhw9LkkaPHq127dqleb3AwEB9/fXXkqRp06bJw8PDkDUkaf78+Ylqbm5u8vf3V8uWLTVo\n0CDNmTNHBw8e1NSpU/X6668nuY7ZbH7k+/zzuslkSlNWICPciYrQvMOrrGoFPfOpR8WWBiUCAAAA\nAMB2/HzrWo13nz6o+zFRcnd59JdTAAAAAMAWbNKw0KhRIw0dOlTdunVTzpw5bfGWKWY2m/XSSy9Z\ndoDo27evxo4dm+b1YmNjNWDAAMXHx6tXr15q27atIWukhMlk0qRJk7Rs2TKFhoZqwYIFiRoWcubM\nqdDQUN2/f/+Ra/3zemr/Gd++fTvZa2FhYSpdurQkyd/fX3nz5k3V2si8YmNjLd8s8/f3l7Ozc6rX\nSEhI0PPfvqHI2L+fTycHR81+dayqFa+YblmBf0uP5xcwCs8vMjOeX2Rm9vz8PuoYPwD2r5R3MRXL\nX1iXQq5KkqLjYrT79EE1q1TP4GQAAAAAYKOGhYkTJ9ribdJk5MiRmjNnjiTpmWee0Zw5c55oh4CF\nCxfq8OHDypEjhz788EOFhYUlmhMdHW15fffuXYWFhcnBwUG5cuVKtzVSKkeOHGrWrJmWLl2qQ4cO\nKSEhwWrnCy8vL128eFHXr19/5DrXrl2zuic1UtqE4OLi8kTHdCDzcnZ2TtM/+xkbFmnbib1Wtbee\neVl1ylZNr2jAY6X1+QXsAc8vMjOeX2Rm9vb82lMWAKlnMpnk51tXC7b/fVzr5mO7aVgAAAAAYBds\n0rBgr959911LM0Xr1q31yy+/yMnpyf5KHp7tGRERoYoVH/8N7mrVqkmS8ufPr1u3bqXbGqnxsMEg\nISFBERERVk0Pvr6+CgwM1MWLFxUTE5PsB1Vnz561ugcwwr2YKC0NWKtle9crOOSazt+6bHW9Yfma\nGvJ0H4PSAQAAAABgDD/felYNC1uCdhuYBgAAAAD+lm0bFj777DN99tlnkmTZYSA9vjXi6uqq3Llz\nP3JOVFSUZYeEnDlzysHBweqe9FgjNS5ffvBLXScnp0THOdStW1cLFixQbGysAgMD1aBBgyTX2Llz\np+V1nTp10pQDeBLnblzSc5NH6vzN4CSv53Dz1OQXPpCjg6ONkwEAAAAAYKzGFWvJweSgBHOCJCno\n8hldv3NLBXMXMDgZAAAAgOwuXRsWtmzZYjnbslmzZsqTJ0+iemr9c530MnHiRL377ruSpIYNG2rF\nihVyd3dPl7VfeuklvfTSS4+c8/bbb+uLL76QJB06dEglS5ZM9zVS6tatW9q8ebMkqXbt2omOw+jc\nubOGDx8uSVq0aFGSDQtms1k///yzpAe7PZQqVSpNWYC0uhcT9chmBUlyd3FV3hxpa+oBAAAAACAz\ny+uZW9VKVNT+88csta1Be9S9flsDUwEAAABAOjcsvP766woMDJQk7dmzR7Vr105UT61/rpMeZs+e\nrZEjR0p6sBPA6tWrlSNHjlStER4ervj4eJlMpjTvamALZrM5UQPCP0VHR2vAgAGKjIyUJA0cODDR\nnGLFiqlr16767bffNGvWLL366quJjnyYPHmy5UiIESNGpN8fAEihpQFrH9msIEk3797Wsj3r1LtR\nJxulAgAAAADAfjSrVM+qYWFLUAANCwAAAAAM52B0AFv6+eef9fLLL8tsNqtChQr6+eeflZCQoLCw\nsCT/9/AX+f9Wp04d5c2bVyVKlLDxnyB1Bg4cqPbt22v69OnasmWLTpw4oVu3bunkyZP6/vvvVbNm\nTf3xxx+SpBYtWiTZsCBJX375pfLkyaOoqCg1b95cCxcu1OXLl3Xy5Em99957lgaQxo0bq1+/fjb7\n8wEPLdu7PkXzlu5Zl8FJAAAAAACwT01961qNtwYFyGw2G5QGAAAAAB5I1x0WVq1apZiYGElSwYIF\nk6yn1j/XeVLffvutEhIenNV34sQJlS5d+pHzW7ZsqQ0bNqTb+9tadHS0Vq1apVWrVj1yXp8+fTR9\n+nQ5Ojomeb1MmTJavny5unXrpuvXr6tv376J5tSvX1/Lli2Tg0O26oGBnbh5N2VHztwKT9vRNAAA\nAAAAZHa1SlWRp6uHIqPvSZJu3A3R8Stn5FukrMHJAAAAAGRn6dqw4O3tnaq6reXIkSNVRzgkd1RE\nrly5lDt37jQfB+Hu7m65N62/4E/JGnPmzNHAgQO1Zs0a7d+/X1evXtWtW7fk7u6uokWLqn79+nr+\n+edVvXr1x75fkyZNdOTIEU2bNk2rVq3SpUuX5OrqqvLly6tnz57q379/sg0PQEbzypVXx688fl6B\nnHkzPgwAAAAAAHbIxclZDcvX0PrDOyy1zcd207AAAAAAwFDp2rBg7x4ef/CkAgICnuj+Dz74QB98\n8EGGr+Hq6ip/f3/5+/s/0Xs95OXllS7ZgfTWufbT2nZ872PndanTygZpAAAAAACwT36V6lk1LGwN\n2qNXn+5jYCIAAAAA2Z1NGhZ27dqlO3fuqGHDhsqVK1eG3QMge3qmtr/eWvSV4uLjkp1T0quoOtOw\nAAAAAGRJwcHB2rFjh65cuaJ79+6pZ8+eKluWb40D/+bnW9dqvOvUfkXFRsvN2dWgRAAAAACyu7Sd\nR5BKw4YNU9u2bXXy5MkMvQdA9rT+8I7HNissGjZeHi5uNkwFAAAAIKNduHBBzzzzjIoXL65evXpp\n1KhR+u9//6vjx49bzRszZowKFCig7777zqCkgH0oW7CEiuQtaBlHxUZrz5lDBiYCAAAAkN3ZpGEB\nADJKQkKCJqyea1UrmLuAfIuUUZOKtfXN8+/oz/cWqJR3MWMCAgAAAMgQQUFBqlWrlpYvXy6z2SyT\nySRHR8ck5zZq1EghISHpdlQkkFmZTCY1/dcuC5uP7TYoDQAAAADYccNCXNyDb0s7OzsbnASAPVt1\nYLNOXDlrGTuYHLTs9W+16b2F+nXEFPVu1ImdFQAAAIAsJiEhQT169FBISIhKlCihxYsXKzIyUm3a\ntElyfosWLeTs7KxNmzYpPj7exmkB++JXybphYWtQgEFJAAAAAMBOGxZiYmJ07tw5SVLevHkNTgPA\nXpnN5kS7K3Sp8zS7KQAAAABZ3OrVq3XkyBHly5dP27Zt07PPPit3d/dk53t4eKhw4cK6c+eOLly4\nYMOkgP1pUrGOTCaTZXz40kndvHvbwEQAAAAAsjOnjFh0165dunPnjmV89+5dS/3WrVvJ3peQkKCQ\nkBD99NNPunv3rvLmzatixfjFI4CkrT+8XUcunbSMTSaTXmv7gnGBAAAAANjExo0bJUmDBw+2+tzg\nn7+E/bdChQrp4sWLCg4OVunSpTM8I2Cv8ufIo6eKVdChi8ctte0n9qpLnVYGpgIAAACQXWVIw8Kw\nYcMUGBiYqD58+PBUrTNo0KBHftgAIPsym80av2qOVa1DjRYqX7iUQYkAAAAA2EpwcLAkqVatWim+\nJ0+ePJKke/fuZUQkIFPx861r1bCw+dhuGhYAAAAAGMIuj4Tw9vbW22+/rU8//dToKADs1JagAO0/\nf8yqNrLdC8aEAQAAAGBTD7/cYDabk6wn5eGOj7lz5864YEAm4VepntV4a1BAon+fAAAAAMAWMmSH\nhSVLluj+/fuWcbdu3XT06FEtXrxYlStXTvY+R0dH5c6dW97e3hkRC0AW8WB3he+tam2qNVWlouUM\nSgQAAADAlooUKSJJOnr0qLp37/7Y+Xfu3NHhw4clSSVLlszIaECmUKf0U3J3cdP9mChJ0tWwmzp5\n9bwq+LBrIQAAAADbypCGhRIlSliNvby8lDt3bpUpU0YVK1bMiLcEkI3sPLlPu08ftKqNaDfAoDQA\nAAAAbM3Pz0/jx4/XvHnz9Pbbb8vNzU1S8jssjBs3TrGxsfL19VXhwoVtGRWwS67OLmpQrob+PLrL\nUtsaFEDDAgAAAACbs8mREJs2bVJYWJiqV69ui7cDkMWNXzXHaty8cn1VL+FrUBoAAAAAtta2bVuV\nKFFC586dU//+/XXv3r0k55nNZk2fPl2fffaZJGno0KG2jAnYNT/fulbjzUG7DUoCAAAAIDvLkB0W\nACCj7DlzSNtP7LWqjWo30KA0AAAAAIzg4uKi6dOnq0OHDvrll1+0fft29ejRQ+fOnZMkbdy4Ubt3\n79ayZct05MgRSVKDBg00ePBgI2MDdsWvUj2r8c6T+xQdGyNXZxeDEgEAAADIjmzWsPDVV1/pzp07\nevPNN5UrV65Hzp0/f75OnDihfv36qXz58jZKCCAz+GbV91bjxhVqq06ZqgalAQAAAGCUNm3aaMGC\nBXrxxRd15coVTZgwwXLtn6+lB80Ky5Ytk7Ozs21DAnasQuFSKpTbS9fu3JQk3Y+J0t6zh9WoQi2D\nkwEAAADITmxyJMSxY8f05ptvaunSpY9tVpCk0NBQffrpp/r2229tkA5AZrH//DFtOvqXVW1kuwEG\npQEAAABgtF69eunIkSMaOnSoihQpYnXNZDKpWrVqmjZtmrZs2SJvb2+DUgL2yWQyqalvHava1qAA\ng9IAAAAAyK5s0rDwyy+/SJJ69uyZovm9evWyug8AJGnCqjlW43plq6lh+ZoGpQEAAABgD0qWLKkp\nU6YoODhYV69e1eHDhxUUFKTQ0FAdOHBAr776KjsrAMnw861rNd5MwwIAAAAAG7NJw8Lx48clSRUr\nVkzRfG9vb+XJk0dXrlxRRERERkYDkEkcDT6ltYe2WdVGthsok8lkUCIAAAAARunQoYNMJpP++OMP\nq3qhQoVUpUoVVaxYUblz5zYoHZB5/HuHhUMXj+t2xB2D0gAAAADIjmzSsHD58mVJSrQ946MULVpU\nkhQcHJwhmQBkLuP/tbtCjZKVEn0TBAAAAED24O7ubnQEIEvwypVflYuWs4zNZrO2Hd9jYCIAAAAA\n2Y1NGhYebr0YGRmZ4nvCw8MliW9PA9DJq+e1cv8mqxq7KwAAAADZV7FixSSJXRmBdPDvLwNs5VgI\nAAAAADZkk4aFhx8k7NixI0XzL1++rAsXLshkMqlw4cIZGQ1AJjBl3TyZzWbL+Kli5fX0U40MTAQA\nAADASO3bt5eU8s8ZACTv3w0Lm4MCrH4GBwAAAICMZJOGhWbNmkmSpk+frpCQkMfO/+STTyRJNWvW\nVK5cuTIyGgA7dz3ytpbv+9OqNqLdAHZXAAAAALKxFi1aqE2bNvruu+906NAho+MAmVrdstXk5uxq\nGV++fU1nb1wyMBEAAACA7MQmDQvdu3dX/vz5dePGDbVu3Vpnz55Ncl5sbKz++9//asaMGZKkIUOG\n2CIeADu25swuJZgTLOOKPmXUtpqfgYkAAAAAGM1kMumXX35Ru3bt1LRpU40fP163bt0yOhaQKbm7\nuKle2WpWtc3HdhuUBgAAAEB242SLN8mRI4cmTZqkPn36KDAwUBUqVFCbNm1Uv3595c+fX1FRUTp+\n/LiWL1+uq1evSnrwbYn+/fvbIh4AO3XrXpj+unLEqjai7QtycLBJrxUAAAAAOzVy5Eht27ZNkhQV\nFaVRo0Zp1KhRKlasmPLlyycnp+Q/7pgwYYIaN25sq6hApuDnW09bggIs461BARrUvLuBiQAAAABk\nFzZpWJCk3r17KywsTCNGjFBsbKz++OMP/fHHH0nObd26tX766Sc5OjraKh4AO7T27F9WuyuUKVhc\nHWu1MDARAAAAAHtw6tQpBQYGJqpfunRJly49eiv7sLCwDEoFZF5+lepKv/093nEyULHxcXJ2tNlH\nhwAAAACyKZv+1DFkyBA1b95cX331lVatWqXr169brrm6uqpBgwZ65ZVX1L17d75BDWRzV0NvaGew\n9Vm0w9v0l6MDjUwAAABAdte8eXPlyZMnTfcWLVo0fcMAWYCvTxl55cqnm3dvS5Iiou5p37kjqle2\nurHBAAAAAGR5Nm+T9vX11ffffy9JunnzpkJDQ+Xu7q6CBQvKxcXF1nEA2KlvNy5SnDneMi5ewEdd\n67Y2MBEAAAAAe/H6668bHQHIUhwcHNS0Yh0tCVhrqW0+FkDDAgAAAIAMZ+g2Bl5eXipfvryKFStG\nswIAixt3QrRo1wqr2vDW/diKEgAAAACADOJXqZ7VeGtQgEFJAAAAAGQnnLsAwO5MW79Q0bExlrFP\nXm/1aNDewEQAAAAAAGRtTSvWsRrvP39MYZF3DUoDAAAAILsw5OvKQUFB2rlzp65fv6579+5pyJAh\n8vHxMSIKADtzKzxUP2z9zar2asvecnFyNigRAAAAAABZX6E8XqroU0bHr5yRJCWYE7T9xF51qNnC\n4GQAAAAAsjKbNiwcPHhQQ4YM0c6dO63qnTt3tmpY6N+/v5YsWaL58+erS5cutowIwGAzN/6k+zFR\nlnFu1xzqye4KAAAAAP5h1qxZOnr0aJruHTx4sCpVqpTOiYCswc+3jqVhQZK2Bu2hYQEAAABAhrJZ\nw8LWrVvVunVrRUU9+EWkq6ur4uPjFRcXl2hus2bNNG/ePK1Zs4aGBSAbCY28o+83/2pVa1Wqntyc\nXQ1KBAAAAMAe/f7771q5cmWa7vX396dhAUiGX6V6mrHxJ8t4c9BuA9MAAAAAyA5s0rBw79499ezZ\nU1FRUapWrZrGjx+vpk2bql69egoMDEw0v3Xr1pKk9evX2yIeADsx+89fFBF1zzLO6eKhpsVrGJgI\nAAAAgD3y8fFRmTJlkr0eFxenW7duKTIyUpLk5eWlXLlySZI8PT1tkhHIjOqXqyEXJ2fFxMVKki7e\nuqLzN4NV0quowckAAAAAZFU2aVhYsGCBrl27ptKlS2vLli3KnTv3I+f7+PjI1dVV586dU0REhHLk\nyGGLmAAMFH4/UrM3/WJV8y9ZVy6OzgYlAgAAAGCvZs6c+dg5CQkJCgwM1CeffKI9e/Zo5syZatGC\nre2BR/FwcVPdMtW0/cReS23zsd16wY+GBQAAAAAZw8EWb7Jp0yZJ0siRI62aFUwmU7L3FCxYUJJ0\n+fLljA0HwC58v/lX3bkXbhnn8cilZiVqGpgIAAAAQGbm4OCgOnXqaPny5erYsaPat2+vv/76y+hY\ngN3zq1TXarw1KMCgJAAAAACyA5s0LAQHB0uSqlevnuJ78uTJI0mKiorKgEQA7Elk1D3N2LDIqjao\nWXe5ObkalAgAAABAVjJu3Dg5ODho6NChRkcB7J6fr3XDwrbjexUXH2dQGgAAAABZnU0aFhwdHSVJ\nZrPZqv6oHRZu3rwpSY89PgJA5jdv21LdjrxjGed089QLTbsamAgAAABAVpIzZ07VrFlT+/bt06lT\np4yOA9i1KkXLK1+OPJZxeFSkDlwIMi4QAAAAgCzNJg0LRYoUkSQdPnw4RfPPnDmjq1evys3NTYUL\nF87IaAAMdj8mStPWL7SqDWreXbk9chqUCAAAAEBW5OLiIkm6ePGiwUkA++bg4KCmFetY1TYf221Q\nGgAAAABZnU0aFpo1ayZJmjVrluLj4y315HZY+N///idJatSokVxd2RIeyMoW7lium3dvW8Yeru56\nqWUvAxMBAAAAyGru3LmjPXv2SJJy5MhhcBrA/vlVqmc13hoUYFASAAAAAFmdTRoWevXqpfz58+vA\ngQMaPHiwoqKikpwXGxur9957T3PnzpUkDRs2zBbxABgkOjZGU9fOt6q90LSr8v9j60kAAAAAeBKX\nL19W9+7dFR4eLk9PT1WrVs3oSIDd8/OtazUOPHdUd+9HGJQGAAAAQFbmZIs3yZkzp6ZOnapevXrp\n+++/17p169S1a1ddu3ZNkrR48WLNnz9fy5Yts2zN+Oyzz+qZZ56xRTwABvl510pdDbtpGbs7u+rV\np3sbmAgAAABAZjBhwgQdOHDgkXOioqJ07tw5BQYGWnZ7fOONN+Tm5maDhEDm5pPXW+UKldSpa+cl\nSfEJ8dp5Yp/aVG9qbDAAAAAAWY5NGhYkqWfPnoqIiNB//vMfBQcHa9KkSZZrX3zxhdXcZ555Rj/8\n8IOtogEwQGx8nCavnWdV69uks7xy5TcoEQAAAIDMYsOGDVq5cmWK5zs4OGj48OF6//33MzAVkLX4\n+da1NCxI0uag3TQsAAAAAEh3NmtYkKRBgwapWbNm+uabb7RixQpdunTJcs3Z2VkNGzbU0KFD1a1b\nN5lMJltGA2Bji3ev0aWQq5axi5Ozhjzdx8BEAAAAADKLcuXKqVatWsleN5lMcnV1lbe3t2rWrKke\nPXqofPnyNkwIZH5+lepp9qZfLOOtQQEGpgEAAACQVdm0YUGSypQpo6lTp2rq1Km6ffu2QkJC5Orq\nqoIFC8rV1dXWcQAYIC4+TpNWz7WqPdewowrn9TYmEAAAAIBMZfz48UZHALK8huVqyNnRSbHxcZKk\nszcu6eKtKypewMfgZAAAAACyEof0XGzBggX6+uuvdf369RTNz5cvn8qVK6fixYvTrABkI7/v3aBz\nN4MtYycHR/2n9fMGJgIAAAAAAP/k6eah2qWfsqqxywIAAACA9JauDQsTJkzQ6NGjrY56kKQ+ffqo\nevXqOnbsWHq+HYBMKCEhQRP+tbtCjwbtVCx/YWMCAQAAAACAJPn51rUab6ZhAQAAAEA6S9eGBZPJ\nlGT9xIkTOnjwoO7du5eebwcgE/pj/yadunbeMnZ0cNTwNv2NCwQAAAAg03n11VdVsWJFbd68OUPv\nAbI7v0r1rMbbj+9VfEK8QWkAAAAAZEXp2rDg7u4uSbp161Z6Lgsgi0hISNCEVXOsal3qtFJJr6IG\nJQIAAACQGV26dEknTpxQREREht4DZHdVi1dQHo9clnHYvbs6eOG4gYkAAAAAZDXp2rBQrlw5SdKM\nGTPYTQFAIusObdexy6ctY5PJpNfasrsCAAAAANtJbndIAIk5OjiqScU6VrWtHAsBAAAAIB05pedi\nPXr00Pfff69ly5bJy8tLxYsXl6urq06ePClJ6tOnj2UXhpT68ccfValSpfSMCcAAZrNZ36z63qrW\nsWYLlStU0phAAAAAALKV27dvS5I8PT0NTgJkLn6+dbRi30bLeHNQgEa0G2BgIgAAAABZSbo2LLRu\n3VqjR4/WV199pXv37un4cest4h42LqQGOzUAWcOfR3fp0EXr/08YyQccAAAAAGxg165d2rt3rySp\nZMmSxoYBMpmmvnWtxoFnDysiKlI53Gj+AQAAAPDk0rVhQZK+/PJL9e/fX3/88YfOnz+vqKgorVix\nQiEhIerQoYPy58+fqvUKFCiQ3hEB2JjZbNb4VXOsam2r+cm3SFmDEgEAAADITF599VVt2rTJMg4O\nDrbU33jjjWTvM5vNCgsL040bNyRJ5cuXp2EBSKXiBXxU2ruYzt64JEmKjY/TzpP71apqY4OTAQAA\nAMgK0r1hQZIqV66sypUrW8a1a9dWSEiIPvjgA9WuXTsj3hKAHdtxIlB7zx62qrF9JAAAAICUunTp\nkk6cOJGo/rBxISVy5syp6dOnp2csINvw861naViQpK1BATQsAAAAAEgX6dqwsHr1aoWEhKhdu3bK\nly9fei4NIBP7ZtX3VuOWVRqqWomKBqUBAAAAkNm0a9dORYsWtYxXr16tixcvqm3btipevHiy9zk6\nOipnzpzy9fVVx44d+awCSCM/37qas2WxZbwlaLeBaQAAAABkJenasPDee+8pMDBQe/bs4UMAAJKk\n3acPaOfJfVa1Ue0GGpQGAAAAQGY0ZMgQq3GHDh108eJFDRkyRB06dDAoFZB9NKpQS44OjopPiJck\nnbp2QZdvX1eRfAUNTgYAAAAgs3MwOgCArG38qjlW46YV66hW6SoGpQEAAACQFYwcOVJz5sxR9erV\njY4CZAs53T1Vq1Rlq9qWoACD0gAAAADIStJ1hwU3NzdJUmhoaHouCyCT2nfuqDYfs94mcmR7dlcA\nAAAA8GRatmxpdAQg2/GrVE8BZw5ZxluDAtS7UUcDEwEAAADICtJ1h4VSpUpJkn788UfFx8en59IA\nMqHxq763GtcvV0MNytUwKA0AAAAAAEgrP9+6VuOtx/coISHBoDQAAAAAsop03WGhS5cuWrBggebO\nnav169erXLlycnV11alTpyRJw4cPV65cuVK15uTJk1WuXLn0jAnABg5fPKH1h3dY1Ua1G2BQGgAA\nAAAA8CSql/BVTjdPhUdFSpJuR4Sp/Zcvqm/jZ9Slbmt5uLgZnBAAAABAZpTuDQv9+vXTvHnzdPny\nZV2+fNnq+q5du1K95p07d9IrHgAbmrB6jtW4VqkqalKxjkFpAAAAAGRFCQkJWrZsmX766ScFBgbq\n+vXrioyMfOQ9K1asUIcOHWyUEMg6LoVcVXyC9Y6q+88f0/7zxzR57XwtGjZepbyLGZQOAAAAQGaV\nrg0LJpNJP/zwg/r166c//vhD58+fV1RUlHbu3Km7d++qQYMGqd5hIXfu3OkZEYANBF0+o5X7N1vV\nRrYbKJPJZEwgAAAAAFlOaGioOnfurK1btxodBcjy7sVE6bnJI3UvJirJ6+dvBuu5ySP153sL2GkB\nAAAAQKqka8PCQy1btlTLli0t49q1ayswMFCTJk1S7dq1M+ItAdiRiavnWo2rFq+gllUaGBMGAAAA\nQJbUp08fS7NCu3bt1KRJEy1YsEBHjx7Vyy+/LB8fH+3YsUPr169X5cqVNXjwYJlMJlWpUsXg5EDm\nszRgrc7fDH7knPM3g7Vszzr1btTJRqkAAAAAZAUZ0rAAIPs6fe2Cfg/cYFUb0XYAuysAAAAASDe7\nd+/W6tWrJUnz589X3759JUnbt2/X0aNH1aFDB8uxD9u2bVPnzp21YcMG/fbbb3J0dDQsN5BZLdu7\nPkXzltKwAAAAACCVHGzxJjt37tT9+/dVq1YtW7wdAANNXPODzGazZVzRp4zaVGtqYCIAAAAAWc2q\nVaskPdjh8WGzQnKaNGmi2bNna/ny5froo49sEQ/Icm7eDU3RvFvhKZsHAAAAAA/ZpGHBxcVFbm5u\nfMMayOIu3Lys3wLWWtVGtHtBDg42+b8aAAAAANnE6dOnJT04CuKfHn7uEBcXZ1Xv0qWLihQpoqlT\npyo6Oto2IYEsxCtX3hTNK5AzZfMAAAAA4KF0/y3iokWLNGHCBN24cSPJ6zExMYqKirL6BnZS3nrr\nLXXr1k1nz55N74gAMsjktfMUnxBvGZctWEIda7YwMBEAAACArCgqKkqSVLx4cau6i4uLJCkiIiLR\nPRUrVtTt27d14sSJjA8IZDGdaz+donld6rTK4CQAAAAAspp0b1gYN26cRo4cqYsXLyZ5vWHDhnJ3\nd1dgYOAj19m4caOWLFmi27dvp3dEABkg+PY1/bxrpVXttbYvyNGB82EBAAAApC9vb29J0p07d6zq\n+fPnl6QkP5N42MRw/fr1DE4HZD1d6rZWSa+ij5yTP0cedaZhAQAAAEAqsU87gHQxde0Cxcb/ve1q\nSa+i6lInZd/AAAAAAIDUKFr0wS9Or169alX39fWVJG3ZssWqHhoaqiNHjkiScuXKZYOEQNbi4eKm\nRcPGP7JpwdHBQQ4cBwsAAAAglWhYAPDErt+5pR93LLeqDW/TT06OTgYlAgAAAJCVNWzYUJK0b98+\nq3rr1q0lSevWrdOMGTMUFxen69eva8CAAYqMjJSHh4eqVq1q87xAVlDKu5j+fG+Bvnn+HTWpWFtl\nC5WQ6R8NCjfu3taC7b8bmBAAAABAZsRvEwE8sWnrFig6LsYyLpKvkLrVa2tgIgAAAABZWePGjZUr\nVy6tWbNGkZGR8vT0lCRVqlRJHTt21IoVK/TKK69o6NChio+Pt9w3dOhQubu7Z0imu3fvas+ePdq9\ne7cuXboks9msypUra9iwYSleIzo6Whs3btS+fft069YtmUwmeXt7q3bt2mrevLmcnJ7sY5zJkyfr\n6NGjj51Xvnx5jRo16rHzLl26pOXLl+v8+fNycHBQ6dKl9cwzz6hQoUJPlBP2y8PFTb0bdVLvRp0k\nSe/9Ml6z/vzZcn3i6rl6rmFHebpmzL9nAAAAALIeGhYAPJGbd29r3talVrVhrZ+Xi5OzQYkAAAAA\nZHXOzs5auHChrl27poiICEvDgiTNnTtXnTp10o4dO6yaFXr27KlPPvkk3bNMnDhRM2bM0PHjx2U2\nm62utW7dOsUNC999953eeusthYSEJHm9cOHCmjhxorp3757mrCtXrtTatWsfO8/Pz++RDQtRUVEa\nPXq0pk6dmujPPHToUL355pv6+OOPn7jBAvZveJt+WrD9d92PiZL04DOCOZsX6z+tnzc4GQAAAIDM\ngp8cATyRGRsX6X5stGVcKLeXejXsYGAiAAAAANlBhw5J/9yRL18+bdu2Tdu2bdPBgwfl4OCgBg0a\nqGbNmhmSY9euXQoKClKuXLlUq1Yt1a1bV1OmTFFkZGSK15g0aZJee+01SZKrq6t69uypSpUqKT4+\nXocOHdLixYt19epV9ezZU7Gxserdu/cTZa5YsaLl/ZLi4+OT7LWEhAT16dNHv/32m6QHzQ1t27ZV\nfHy8li1bpj179ujzzz/XrVu3NHPmzCfKCfvnlSu/XmzeQ5PXzrPUpq6br/5Nuyqnu+cj7gQAAACA\nB2hYAJBmtyPuaM7mJVa1oa36ys3Z1aBEAAAAACCZTCY1bdpUTZs2zfD3GjFihN5//335+vrKZDJJ\nkmbPnp3ihoWIiAiNGTNGkpQ/f37t3r1bZcqUsZqzb98+NWnSRPfu3dPIkSPVs2dPOTo6pjlzkSJF\n9Morr6Tp3h9++MHSrDBmzBh99tlnlmtjxozRK6+8opkzZ2rWrFnq1KlTso0lyDqGtOqjuVuWKDzq\nwTMfGnlXM//8Sa+3H2RwMgAAAACZgYPRAQBkXrP+/FmR0fcs4wI586pPk2cMTAQAAAAgO0hISDA6\ngkX9+vVVqVIlS7NCagUEBOjevQc/V7322muJmhUkqWbNmho06MEvf2/cuKFjx46lPfATMJvN+vjj\njyVJlStXTnTEhslk0sSJE1W0aFFJ0kcffWTzjLC9vJ659bL/c1a16et/VGjkHYMSAQAAAMhMaFgA\nkCZ370fou02/WNVe8e8tDxc3gxIBAAAAyC569+6tfv36aePGjXbVvJAW8fHxltelSpVKdl7p0qUt\nr+Pi4jI0U3ICAgJ0/vx5SdJLL72U5C4Pbm5u6tevnyRp7969Onv2rC0jwiAvt3xOeT1zWcbhUZGa\ntm6hgYkAAAAAZBYZdiTEu+++q7x58yaqP/xBNbnr/54HwD59t+kX3b0fYRnn9cylF/y6GpgIAAAA\nQHYRERGhlStXav78+SpatKj69u2r/v37q2LFikZHS7WnnnpKjo6Oio+P14EDB9S3b98k5+3fv1+S\n5O7urgoVKtgyosWmTZssr5s3b57svJYtW1qOiti0aZNVswWyppzunhra6nn9b+lUS232pl80uGVP\neeXKb2AyAAAAAPYuwxoW1q1b90TXAdiviKhIzdz4k1VtcMteyuHmaVAiAAAAANlJq1attGfPHt24\ncUPBwcEaO3asxo4dqzp16qh///7q1auX8ufPHL8kLVSokIYMGaLJkydrypQp8vf3V5s2bazm/Pjj\nj1qwYIEkacyYMfLw8Hii9wwNDdX06dN1+vRpxcfHy8vLS3Xq1JGfn59cXFySve/o0aOSJAcHB/n6\n+iY775/XHt6DrG9As26asXGRbt69LUm6HxOlyWvm6+MeI4wNBgAAAMCuZVjDAoCsa+6W3xQaedcy\nzuWeQ4Oa9zAwEQAAAIDsZPjw4RoyZIjWrFmjefPmacWKFYqKitKePXu0Z88ejRo1Su3atVP//v3V\nvn17OTs7Gx35kcaPHy8PDw9NmDBBbdu2VfXq1eXr66v4+HgdPnxYQUFB8vT01JgxY/TOO+888fvt\n27dPr776aqJ6oUKF9PHHH+ull15K8r5Lly5Jkry9vR/5d1qoUCE5OzsrNjZWFy9eTFW20NDQZK+F\nhYVZXsfExCgmJiZVayNjOZscNfTpvvpwySRL7Yetv2mQXzcVzuv9xOvHxsYm+Rqwdzy7yMx4fpGZ\n8fwiM7P35ze9fxZL94aFvXv3pveSAOzIvZgoTd/wo1VtUPMeyuWew6BEAAAAALIjJycndejQQR06\ndNCdO3f0888/a968edqxY4diYmK0bNkyLVu2TPnz59dzzz2nfv36qU6dOkbHTpKjo6M+/PBDFS1a\nVKNHj9aBAwd04MABy/UcOXJo0qRJ6tu3r0wm0xO9V4ECBdSsWTOVLl1aRYoUUXh4uP766y+tXr1a\n165d0+DBg3Xs2DGNHz8+0b3h4eGWPI9iMpnk4eGhO3fuKCIi4pFz/y1fvnwpmrdhw4bH5oDtFYh3\nVV63nAqNevCsRMfFaPTsT9WnSpvH3Jk6GzZsSNf1AFvh2UVmxvOLzIznF5mZPT6/qf0573HYYQFA\nqizYtky3wv/+xounq4cGt+xpYCIAAAAA2V3u3Lk1ePBgDR48WGfPntW8efO0YMECnTlzRiEhIZoy\nZYqmTJkiX19f/fzzz3rqqaeMjmzl9OnTat++vU6ePCkPDw+98MILqlatmhISErRv3z4tXrxYAwcO\n1KRJk7Rq1SoVLlw4Te8zduxYValSRU5OiT8OOnbsmDp37qxTp05pwoQJ8vPzU+fOna3mREVFSVKK\ndqx4eLTEw3uQPTg7Oql92cZacGS1pbY9+KBala4nL4+8BiYDAAAAYK9oWACQYlGx0Zq2bqFVbUCz\nZ5XXM7dBiQAAAADAWunSpfXhhx/qww8/1Pbt2zVv3jz9+uuvCgsLU1BQkC5cuGBXDQuhoaHy8/PT\nlStXVKpUKf35558qWbKk1Zx3331XzZs314EDB9SyZUvt379frq6uqX6v6tWrJ3utUqVKWrlypapU\nqaKYmBh98cUXiRoWPDw8JEnR0dGPfa+HjQoP70mp27dvJ3stLCxMpUuXliT5+/srb15+AW6P/OOf\n1tb/HdTFkCuSpARzgg7cP69vnu39ROvGxsZavl3m7+9v90e9AA/x7CIz4/lFZsbzi8zM3p/fRx3l\nlxY0LABIsZ92/qFrd25axu7Ornq55XMGJgIAAACA5FWrVk0NGjTQ0aNHtXPnTqPjJGnGjBm6cuXB\nL3anTZuWqFlBknx9ffXNN9+oT58+CgoK0k8//aT+/fune5Zy5cqpQ4cO+u233xQQEKDw8HDlzJnT\ncj1XrlySpLt37z5ynfj4eN27d8/qnpRKaROCi4uLZRcH2BcXuWh0x5c0bO5Hltpve9bptXYvqFyh\nkunyHs7OzvzzR6bEs4vMjOcXmRnPLzIze3x+0zuPQ7quBiDLuRcTpYXbf9ez44fqv79Yn2Har2kX\neeVK2fmiAAAAAGAL8fHxWrNmjXr37q2CBQtq4MCBlmYFFxcX5c5tXzvEbdmyRZLk5uYmf3//ZOd1\n7Ngx0T0ZoUqVKpKkhIQEXb161eraw90Nbt26ZWlISMrly5cVHx9vdQ+yl651W1k1JySYE/TVilnG\nBQIAAABgt2hYAJCsczcuqcUnffX6gs+140Sg4uLjrK53qNnCoGQAAAAAYO3gwYN6/fXXVbRoUbVt\n21aLFi3S/fv3JUl169bV1KlTdfXqVTVp0sTgpNbCwsIkSblz55aTU/IbYebMmdPyLZaH92SEuLi/\nf+77d55/HqVx8ODBZNc4cOCA5fXDBghkL44Ojnqz42Cr2vLAjToafMqgRAAAAADsFQ0LAJJ0LyZK\nz00eqfM3g5OdM2zux7oXE2XDVAAAAADwt6tXr2rcuHGqVq2aqlevrm+++UbXrl2TJBUrVkxjxozR\n8ePHtXv3bg0ZMkT58tnfDnEFChSQJN2+fdvSYJGUGzduKCYmRpKUP3/+DMuze/duSQ92o/Dx8bG6\n1rp1a8vrtWvXJrvGw2sODg56+umnMyAlMoP2NZqpSrHyVrUvl880JgwAAAAAu0XDAoAkLQ1Y+8hm\nBUk6fzNYy/ass1EiAAAAAHhg9erVatOmjYoVK6Y33nhDhw4dkiR5enrq+eef1/r163X+/Hl99tln\nqlChgsFpH61+/fqSpNjYWP3888/Jzps/f77ldYMGDTIky9atW/Xnn39Kklq0aCE3Nzer6xUqVFCt\nWrUkSbNnz1ZERESiNW7evKmFCxdKklq1aiUvL68MyQr75+DgkGiXhbWHtmnfuaMGJQIAAABgj2hY\nAJCkZXvXp2jeUhoWAAAAANjY1KlTtXbtW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rfZS23sVj9mL5fatevXoZIgQAAAAA23nggQc0c+ZM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\nxER5eHioYcOGatOmjZycrvx+1/Hjx+u9995Tnz59tHT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          }
        }
      ],
      "source": [
        "fig, ax = pyplot.subplots(1, 2, figsize=(11, 4), tight_layout=True)\n",
        "\n",
        "ax[0].plot(radii, [data.n_eff.isel(mode_index=0).item() for data in bend_data], \".-\")\n",
        "ax[0].set_xlabel(\"Bend radius (μm)\")\n",
        "ax[0].set_ylabel(\"Effective index\")\n",
        "ax[0].grid()\n",
        "\n",
        "ax[1].plot(\n",
        "    radii, [loss_dB_per_cm(data.n_complex).isel(mode_index=0).item() for data in bend_data], \".-\"\n",
        ")\n",
        "ax[1].set_xlabel(\"Bend radius (μm)\")\n",
        "ax[1].set_ylabel(\"Curvature loss (dB/cm)\")\n",
        "ax[1].grid()"
      ],
      "id": "a4db41d0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Coupled Waveguides\n",
        "\n",
        "The `RectangularDielectric` class supports modeling coupled waveguides\n",
        "by passing an array of core widths (and a corresponding array of gaps\n",
        "between adjacent cores)."
      ],
      "id": "87942218-a45c-4723-beb3-4c7882825017"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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M7t27R15eXrPVurGsVAIAAIDNQ7a/w+dno6gtQV5eXvTq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\n/nrk5+fHiSeeGGPHjo3y8vK48cYb47HHHouLL74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eeQoLCzO3V6xYkarG4uLi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\n"
          }
        }
      ],
      "source": [
        "coupled = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=(0.5, 0.5),\n",
        "    core_thickness=0.22,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        "    gap=0.15,\n",
        "    sidewall_angle=np.pi / 18,\n",
        "    mode_spec=td.ModeSpec(num_modes=4),\n",
        ")\n",
        "\n",
        "_ = coupled.plot_structures(x=0)"
      ],
      "id": "9ef4365b"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Effective indices: [[2.52944789 2.48996313 1.89128153 1.76011906]]\n",
            "Effective mode areas (µm²): [[0.3678233  0.35555273 0.67381531 0.63189799]]"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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j8b2w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\n2jUFBASoQYM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27c3fh4WF5bqNN7py5Uqu7394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cBOWSIiIiIiqjVJAiTZ4GsYXD8RERERERERkdHYKUtERERERERERERERESNngRA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pYQEdUv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\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Kv4CHytXPQonfN3/5fmif0hkpdkr6POmZyWo0r8uu+W9tHNnyY2g7J/i3O0MYtFwW3G4u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\nI4NziZ94t88xruD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ZmZnG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\nd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          }
        }
      ],
      "source": [
        "# Mode data\n",
        "print(f\"Effective indices: {coupled.n_eff.values}\")\n",
        "print(f\"Effective mode areas (µm²): {coupled.mode_area.values}\")\n",
        "\n",
        "fig, ax = pyplot.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
        "\n",
        "coupled.plot_field(\"Ey\", mode_index=0, ax=ax[0, 0])\n",
        "ax[0, 0].set_title(\"Ey (q-TE symmetric)\")\n",
        "\n",
        "coupled.plot_field(\"Ey\", mode_index=1, ax=ax[0, 1])\n",
        "ax[0, 1].set_title(\"Ey (q-TE anti-symmetric)\")\n",
        "\n",
        "coupled.plot_field(\"Ez\", mode_index=2, ax=ax[1, 0])\n",
        "ax[1, 0].set_title(\"Ez (q-TM symmetric)\")\n",
        "\n",
        "coupled.plot_field(\"Ez\", mode_index=3, ax=ax[1, 1])\n",
        "ax[1, 1].set_title(\"Ez (q-TM anti-symmetric)\")\n",
        "\n",
        "pyplot.show()"
      ],
      "id": "e506942d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In a similar fashion, vertical slot waveguides can also be simulated\n",
        "easily:"
      ],
      "id": "49cc69e6-610b-4147-8b1a-8f11dd51c07a"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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G27dvz7TvunXr2m8wbLn3AgAA+YqR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\nF6dK++fU+/3RRx+Z73XlypX17bffOoybPn266tWrp0uXLunPP//UDz/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JxczDMBAAAAoqck/R587NgxffHFF/rpp5+U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\nuOEGVaxYMcozd+nWrZs+/PBD/fjjjzp48KDP0gseO3bs0Jo1a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          }
        }
      ],
      "source": [
        "slot = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=(0.22, 0.22),\n",
        "    core_thickness=0.22,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        "    gap=0.06,\n",
        "    mode_spec=td.ModeSpec(num_modes=1),\n",
        ")\n",
        "\n",
        "fig, ax = pyplot.subplots(1, 3, figsize=(11, 4), tight_layout=True)\n",
        "\n",
        "slot.plot_structures(x=0, ax=ax[0])\n",
        "\n",
        "# We use 'robust=False' because we're interested in the large values at the slot\n",
        "slot.plot_field(\"E\", val=\"abs\", ax=ax[1], robust=False)\n",
        "\n",
        "# Plot a cross-section of the field component normal to the gap\n",
        "ey = slot.mode_solver.data.Ey\n",
        "_ = ey.squeeze(drop=True).sel(z=0.55 * slot.core_thickness, method=\"nearest\").real.plot(ax=ax[2])"
      ],
      "id": "4db42234"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Surface Models\n",
        "\n",
        "Besides using lossy materials for all waveguide regions (core, and upper\n",
        "and lower claddings), it is also possible to create separate medium\n",
        "layers along the sidewalls and top surfaces of the waveguide to model\n",
        "localized losses independently.\n",
        "\n",
        "In the following models, we exaggerate those regions and decrease the\n",
        "domain size only to show a close-up of the resulting geometry.\n",
        "Decreasing the domain size is only advisable if we know the modes will\n",
        "have properly decayed to insignificant values at the domain boundaries.\n",
        "Also note that the colors in each plot correspond to different\n",
        "materials."
      ],
      "id": "86759759-71e7-4d8b-bded-433ec991cc2d"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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bIg7Fq6DAcHUM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QkvDwcOXk5Kh+/fqaP3++0ekA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EmSJEmSJEmSlBEM\nRyVJkiRJkiRJkiRlBMNRSZIkSZIkSZIkSRnBcFSSJEmSJEmSJElSRjAclSRJkiRJkiRJkpQRDEcl\nSZIkSZIkSZIkZQTDUUmSJEmSJEmSJEkZwXBUkiRJkiRJkiRJUkYwHJUkSZIkSZIkSZKUEQxHJUmS\nJEmSJEmSJGUEw1FJkiRJkiRJkiRJGcFwVJIkSZIkSZIkSVJG+A+MdNmVKlrM5wAAAABJRU5ErkJg\ngg==\n"
          }
        }
      ],
      "source": [
        "fig, ax = pyplot.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
        "\n",
        "lossy0 = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.25,\n",
        "    core_medium=si,\n",
        "    box_medium=sio2,\n",
        "    clad_medium=td.Medium(permittivity=1.0),\n",
        "    gap=0.15,\n",
        "    sidewall_angle=np.pi / 12,\n",
        "    surface_thickness=0.03,\n",
        "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
        "    side_margin=0.3,\n",
        "    clad_thickness=0.3,\n",
        "    box_thickness=0.3,\n",
        ")\n",
        "\n",
        "lossy0.plot_structures(x=0, ax=ax[0, 0])\n",
        "ax[0, 0].set_title(\"Strip with surface layer\")\n",
        "\n",
        "lossy1 = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.25,\n",
        "    slab_thickness=0.1,\n",
        "    core_medium=si,\n",
        "    box_medium=sio2,\n",
        "    clad_medium=td.Medium(permittivity=1.0),\n",
        "    gap=0.15,\n",
        "    sidewall_angle=np.pi / 12,\n",
        "    surface_thickness=0.03,\n",
        "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
        "    side_margin=0.3,\n",
        "    clad_thickness=0.3,\n",
        "    box_thickness=0.3,\n",
        ")\n",
        "\n",
        "lossy1.plot_structures(x=0, ax=ax[0, 1])\n",
        "ax[0, 1].set_title(\"Rib with surface layer\")\n",
        "\n",
        "lossy2 = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.25,\n",
        "    core_medium=si,\n",
        "    box_medium=sio2,\n",
        "    clad_medium=td.Medium(permittivity=1.0),\n",
        "    gap=0.15,\n",
        "    sidewall_angle=np.pi / 12,\n",
        "    sidewall_thickness=0.05,\n",
        "    sidewall_medium=td.Medium.from_nk(n=3.2, k=0.01, freq=td.C_0 / 1.55),\n",
        "    side_margin=0.3,\n",
        "    clad_thickness=0.3,\n",
        "    box_thickness=0.3,\n",
        ")\n",
        "\n",
        "lossy2.plot_structures(x=0, ax=ax[1, 0])\n",
        "ax[1, 0].set_title(\"Strip with sidewall layer\")\n",
        "\n",
        "lossy3 = waveguide.RectangularDielectric(\n",
        "    wavelength=1.55,\n",
        "    core_width=0.5,\n",
        "    core_thickness=0.25,\n",
        "    slab_thickness=0.1,\n",
        "    core_medium=si,\n",
        "    box_medium=sio2,\n",
        "    clad_medium=td.Medium(permittivity=1.0),\n",
        "    gap=0.15,\n",
        "    sidewall_angle=np.pi / 12,\n",
        "    sidewall_thickness=0.05,\n",
        "    sidewall_medium=td.Medium.from_nk(n=3.2, k=0.01, freq=td.C_0 / 1.55),\n",
        "    surface_thickness=0.03,\n",
        "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
        "    side_margin=0.3,\n",
        "    clad_thickness=0.3,\n",
        "    box_thickness=0.3,\n",
        ")\n",
        "\n",
        "lossy3.plot_structures(x=0, ax=ax[1, 1])\n",
        "_ = ax[1, 1].set_title(\"Rib with both layers\")"
      ],
      "id": "77c07707"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}