{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Defining mode sources and monitors\n",
        "\n",
        "Here, we look at a simple demonstration of how to excite a specific\n",
        "waveguide mode, and how to decompose the fields recorded in a monitor on\n",
        "the basis of waveguide modes, i.e. how to compute the power carried in\n",
        "each mode.\n",
        "\n",
        "We also provide a comprehensive list of other tutorials such as [how to\n",
        "define boundary\n",
        "conditions](https://www.flexcompute.com/tidy3d/examples/notebooks/BoundaryConditions/),\n",
        "[how to defining spatially-varying\n",
        "sources](https://www.flexcompute.com/tidy3d/examples/notebooks/CustomFieldSource/)\n",
        "and\n",
        "[structures](https://www.flexcompute.com/tidy3d/examples/notebooks/CustomMediumTutorial/),\n",
        "[how to model dispersive\n",
        "materials](https://www.flexcompute.com/tidy3d/examples/notebooks/Dispersion/),\n",
        "and [how to visualize simulation\n",
        "setups](https://www.flexcompute.com/tidy3d/examples/notebooks/VizSimulation/)\n",
        "and\n",
        "[results](https://www.flexcompute.com/tidy3d/examples/notebooks/VizData/).\n",
        "\n",
        "If you are new to the finite-difference time-domain (FDTD) method, we\n",
        "highly recommend going through our\n",
        "[FDTD101](https://www.flexcompute.com/fdtd101/) tutorials."
      ],
      "id": "e5030dd5-0fe7-4663-8bd7-1144d635754e"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# standard python imports\n",
        "import matplotlib as mpl\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# tidy3D import\n",
        "import tidy3d as td\n",
        "from tidy3d import web\n",
        "from tidy3d.plugins.mode import ModeSolver"
      ],
      "id": "69d8e327"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Straight waveguide simulation\n",
        "\n",
        "First, we will do a simulation of a straight waveguide, using a silicon\n",
        "ridge waveguide on a silicon oxide substrate. We begin by defining some\n",
        "general parameters."
      ],
      "id": "5b6c4cb7-5877-4e48-8619-e96894946403"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Unit length is micron.\n",
        "wg_height = 0.22\n",
        "wg_width = 0.45\n",
        "\n",
        "# Permittivity of waveguide and substrate\n",
        "si_eps = 3.48**2\n",
        "sio_eps = 1.45**2\n",
        "\n",
        "# Free-space wavelength (in um) and frequency (in Hz)\n",
        "lambda0 = 1.55\n",
        "freq0 = td.C_0 / lambda0\n",
        "fwidth = freq0 / 10\n",
        "\n",
        "# Simulation size inside the PML along propagation direction\n",
        "sim_length = 5\n",
        "\n",
        "# Simulation domain size and total run time\n",
        "sim_size = [sim_length, 4, 2]\n",
        "run_time = 20 / fwidth\n",
        "\n",
        "# Grid specification\n",
        "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lambda0)"
      ],
      "id": "8d1e1ea8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Initialize structures, mode source, and mode monitor\n",
        "\n",
        "When initializing `ModeSource` and `ModeMonitor` objects, one of the\n",
        "three values of the `size` parameter must be zero. This implicitly\n",
        "defines the propagation direction for the mode decomposition. In this\n",
        "example, the waveguide is oriented along the x-axis, and the mode is\n",
        "injected along the positive-x direction (“forward”). Below, we add a\n",
        "mode monitor that will show us the waveguide transmission at a range of\n",
        "frequencies, as well as a simple frequency monitor to examine the fields\n",
        "in the xy-plane at the central frequency. Note that we use a rather wide\n",
        "frequency range in the flux and modal monitors. This will be used later\n",
        "to demonstrate the effect of mode mismatch away from the central\n",
        "frequency and to discuss ways to remedy that."
      ],
      "id": "78a5b9bf-ad01-4a62-86be-4415ff8d34aa"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Waveguide and substrate materials\n",
        "mat_wg = td.Medium(permittivity=si_eps)\n",
        "mat_sub = td.Medium(permittivity=sio_eps)\n",
        "\n",
        "# Substrate\n",
        "substrate = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=[0, 0, -sim_size[2]],\n",
        "        size=[td.inf, td.inf, 2 * sim_size[2]],\n",
        "    ),\n",
        "    medium=mat_sub,\n",
        ")\n",
        "\n",
        "# Waveguide\n",
        "waveguide = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=[0, 0, wg_height / 2],\n",
        "        size=[100, wg_width, wg_height],\n",
        "    ),\n",
        "    medium=mat_wg,\n",
        ")\n",
        "\n",
        "# Modal source parameters\n",
        "src_pos = -sim_size[0] / 2 + 0.5\n",
        "src_plane = td.Box(center=[src_pos, 0, 0], size=[0, 3, 2])\n",
        "\n",
        "# xy-plane frequency-domain field monitor at central frequency\n",
        "freq_mnt = td.FieldMonitor(\n",
        "    center=[0, 0, wg_height / 2], size=[100, 100, 0], freqs=[freq0], name=\"field\"\n",
        ")\n",
        "\n",
        "\n",
        "# frequencies\n",
        "mon_plane = td.Box(center=[-src_pos, 0, 0], size=[0, 3, 2])\n",
        "Nfreqs = 17\n",
        "freqs = np.linspace(freq0 - 2 * fwidth, freq0 + 2 * fwidth, Nfreqs)\n",
        "fcent_ind = Nfreqs // 2  # index of the central frequency\n",
        "\n",
        "# flux monitor\n",
        "flux_mnt = td.FluxMonitor(\n",
        "    center=mon_plane.center, size=mon_plane.size, freqs=list(freqs), name=\"flux\"\n",
        ")\n",
        "\n",
        "# Modal monitor at a range of frequencies\n",
        "mode_mnt = td.ModeMonitor(\n",
        "    center=mon_plane.center,\n",
        "    size=mon_plane.size,\n",
        "    freqs=list(freqs),\n",
        "    mode_spec=td.ModeSpec(num_modes=3),\n",
        "    name=\"mode\",\n",
        ")"
      ],
      "id": "81f50d8b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Initialize simulation and visualize two cross-sections to make sure we\n",
        "have set up the device correctly."
      ],
      "id": "c821963b-63ba-40d9-84b4-cabe91448854"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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6nugLA5myzz77qH379gnfLy0tVZs2bax7gh1zzDG1jhdeHE3l729ZWZn1PPp+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\n4447Lm597cknn4z4Gb/wwgt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eHXYpr9ebUkM71wpZplQLeuQnP/kD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\ndzZ/tjW06QTCVr5gRVoa2vEKuYYnc1ObAwAAZBqNbADZJlMFjWxrZJs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kmozW1fT5s3RJvbxqghPUpeP3al2f8BpEwmo6uvvlrz5s3Tl7/8Ze23337F\nbhIKIF8h29f+uI0rtAEAAAAg4nId/yWUCXw7oRSz58yZo1dffbVfr3nzzTf15ptv5n3+W9/6VsGK\n2ccff7yuuuoqSdKf//znvAXiP//5z5KkHXfccUAF4iC2E1ZbB6q3QraPAV0AAAYnY1La2LajNraN\nV3WiTjUV61Tl1Etb763dPg15Wp5x5HpJebLVlwp1wkrLkyPPC+bKOdPLFciuScgYW2kvNehtOVZa\njp1Rpk9tN7Itt72IbXnt9yD3ktnp2hvTtdqcHqMWd6j6W9lPGLH/g7L1xBNP6I477uh1uU2bNumt\nt97SmjVrNGzYMK1atUqnnXZazmU/9alP6YILLgi6qQhBb4VsHwVtAAAAAIi2fMd/wV6T3S6UYvZH\nPvIRDR06NNB1Dhs2LND1dbTvvvtqv/3202uvvaabb75Zl1xyiYYPH95pmb/97W+aO3euJGn27Nmy\nrP5frhTEdsJq60D0tZDtY0AXAIAg2GrMjFRjZqSSdnP71drJ9XKszNZibUZJp0XGWHJNcuvV2j3t\nGxgZYyvjVajFHdz+V6tXqerkuz0us7ltjBwrrYQ1uF3fqsRm2VbvRRFLnuytxX5ZW6/C9ipkjKO0\nV6H69GhtSY+Wa5IDaodjrB5/vez/IOree+89/elPf+rXa7Zs2dLja8aOHTvYZqEI+lrI9lHQBgAA\nAIBo6u/x32CFUsy+7bbbwthMoK6//nodddRRWrVqlU444QTdfffd2nnnnSW1X2l+9tlnS5LGjx+v\nyy+/POc6Tj75ZH344YcaNmyYnnvuuYJtJ4h1BK2/hWwfA7oAAAQn7VVqQ+tO2ti6o4YmN6omuVZD\nnMat02hn2ovGdlv7FORe+xXI+SqvbV6lVjXvNug2VfdyTp1rKrSuZddBb2fSsJd7eNZkC/u25W4r\n7HsJGVlqyoxQfdtoNbnDNcj51eUYye1lFez/IMp22GEHHXbYYYGuc8qUKYGuD4U30IEMCtoAAAAA\nEC1hF7KlkIrZUXTEEUfopz/9qb72ta/p2Wef1aRJk7TrrruqsbFRq1atkiTV1tbq0UcfzXuV+MKF\nC7Vo0aJuV0oHvZ0g1hGkgRayfQzoAgAQLCNbW9LbaUt6O1XYjRpesU5DkxtkGzc7tXaF0yLP2PKy\n99YOZyaXcG2bcl2W2Xr1dSqbuT49WvVto5Uxg5/ivL/Y/0FUnXzyyTr55JOL3QwUmOel1Jauzvlc\nruM/xwxRWx/X7Uga0mEd9Uoq089jyGw7E65cz1JrukYbt+zS79cDAAAAcWMroyGJLWp1hw54Vrqu\nqms+6PH5jWsOHPQ2LHmqTGxWq1st11T0/oKIax3WLDfpyrON2jJVxWtHH47/Mp4raWOg22V0rAdf\n/epX9be//U2HH364jDF67733tGrVKlVXV+uzn/2s/vnPf2rfffctie2E1dbeDLaQ7UsZW1UdLmNq\ncoxae7nHJgAA6F2bV611LbtoyZa9ta5lZ7W4w5T2KtXmVsrIlmOnVeE0K2G1ylI5fPYa2XKVsFuU\ncprlWBm5JqE2t1Jpb4gaM7Va3TxJixv21sbWHYtSyPax/wMgajj+AwAAAKIpZTdq9JAPtfOwBRpX\n+Z7GVy0qdpP6ZfSQxRpX+Z52HrpAYyvfVaWzWZLp9XUYuKCO/waCK7N7cfjhh+vwww9XY2OjVqxY\noVQqpfHjxyuZ7P0MlYceekgtLS1yHKeg2wlyHYPhWQr0jcwVSgAAFI6nhOrT26s+PUZDnAbVJNdq\naHJTdgpy28qowm5uXzjCxwKO5cpxXHnZq7AdeSah+vR2qk+PVtqrLHYTO2H/B0BUBD2QQf8HAAAA\nFJYld+tt6NZ1ug2dLBO5oZ8Ku1mOlZZleRqa3KDqRJ3SXqp91r30dvICusoc7YpZyJYCLmavXLlS\n48ePD3KVWQ0NDfI8TzU1NQVZf2+qq6u12279u0/ktGnTQtlOIdbRX47jyLWkxNb3clBvZAY0AAAo\nNEst7jC1uMO0oTWtYcn1qkmuU9JulbX1vtJR5npJuab9fuAtbrXq06PVkB4po95PNiwW9n8AlLpC\nDWTQ/wEAAADBS9rNqkmu07Dk+q0XMLjZr5K23m4umvzbyXnGlm2lNcpu0cjUCjWkR6o+PVot7lCV\n5630wlPsQrYU8DTjJ510ks4880wtXLgwsHU2NTXpuuuu06677qp///vfga0Xwep49XfQb2SmnAMA\nIByuSaqubZyWNu6llU27qSE9SmkvJdcklfaGFLt5/dLmDVHGS6nNDNHm9Bgtb9xDK5r20Jb06JIu\nZPvY/0GpWbNmjVzXLdj6V65cWbB19+T+++/XySefrGnTpmnChAk64IAD9L3vfU+rVq0que2E1dbe\nFHogg/4PAAAACIKn6sRGja96RztVv6kRFatUYTerwm5W0m6VkdTmDpFrSn+MpCfGWGpzh8gYW4mt\nt85L2i2qSa7TDlXvaMfqt1STXCtLhTueLWelUMiWAr4yu7KyUn/84x91//3364QTTtDnPvc5HXfc\ncaqo6P/N1//1r3/pnnvu0W9+8xutXbtWtm2rsrK0poFEd4V6I+c8Q19GnFEDAEAhWGp2h6u5ebgS\nVqsqnCY1Z4YXu1H9srJpmlJOg1oyw+RF9M46XKGIUnLffffp5z//ua666iqdccYZsu1g3od//etf\n9d3vflcf+chH9LOf/SyQdfZFU1OTTj31VD3xxBOdfr58+XLNmzdPP/vZz/T73/9exx57bNG3E1Zb\n+yKsgQz6PwAAAGBgElarairWqSa5LnsbOcfKyLJcyVhyTUKul9C2a13TxWxuIIwcZYwjuWbbrfOc\n5q1Xa2eUGtKkUallasiM0ua2MWrzqord5EgolUK2FPCV2Y899pj+67/+S6lUSg899JBOOeUUjRs3\nTp/97Gf185//XK+++qqam5u7vc51XS1ZskT33XefLr/8cu2zzz6aMWOGrrvuOq1du1ZHHnmkXnvt\nNe25555BNhcBc4wK+kbueoZ+xpJcatkAABRUxqTUlKmVCXa3seBck1RTpjayhWwfVyiiVFRXV+ud\nd97R2WefrenTp+v6668f8NXUmzZt0m233aYDDjhARx99tF566SVVV1cH3OKefeYzn8kWh7/85S9r\nwYIFWrx4sX73u99pwoQJ2rRpk0499VT985//LPp2wmprb8IeyKD/AwAAAPrKqMqp09jKd7XT0H+q\ntmLl1quwm5S0WyWpffY6r1KuqVDApcESYmVnF2xzh8jIVtJu3Xo1eouGJ9doQvVb2qHqbQ1NrJcl\nji/yKaVCtiRZxpjA7+u+bNky/fd//7fuvfdeNTU1dXu+srJSI0eOVCqV0saNG7V582blasZBBx2k\nb33rW5o1a1bQTURANm3apJEjR+qLX/yiJowcoxFu4QeM/T+ijGWUMpbGtia09xau2gcAIAomTLm3\nx+eXvfuZkFpSeAuGNWtj0lWbbVSTGdy0XX09iMh4rt5r2aibbrpJGzduVG1t7aC2C3T0yCOP6Bvf\n+IYWLVokSXIcR4cddpgOPfRQfexjH9NHPvIRbbfddrKszmec1tXV6Y033tBLL72kuXPn6qmnnlJr\na/uAyrhx4/Tf//3fOv/88wO72rs3f/nLX3TcccdJkv7rv/5L11xzTafnlyxZohkzZqi+vl5HHnmk\n5syZU7TthNXWXPxjvYsvvlg7jRknq8OsWGEOZPRnEKU+4arCszQy7XCMCAAAgLLnWGkNS65TTXK9\nknarrOy9sDPZq7A9k+jxAoWE3SLJUsZLqWmQs/JlTFIbW3fQ+Mn35V/ISI3LDlXK7n7ha38McbYo\nabfKsdK9XGlttt5XOy3LMvKMs/X30v51S3o71beNUdqU9u31ghxj6s1gC9mFGJsqSDHbt3nzZv3m\nN7/R3Xffrddff12e1/tZDjvuuKNOPPFEfeELX9D06dML1TQEpOMAxy6jx4VSzJba/5jqEx7FbAAA\nIoZi9sD15WCCYjYKLZPJ6LbbbtONN96o9957r9vzjuOotrZWw4cPV0NDgzZu3Kh0uvu0dePGjdMl\nl1yi//zP/wz9quyjjz5af/3rXzVq1CgtX75cQ4Z0H7S46qqrdPXVV0uS3njjDe29995F2U5Ybc2l\n44nLY7cbo4RpL2YX44z8vg6mUMwGAABA+TMa4jRoeHKtqpObZMnLFrBty5NnbLkmKc846sttWhN2\nqyx5ck1y0C3zjKNNbeNVvdM/8i7jtFXI2bizbGvw97C2LVe2PLV5fdn3N7LlyrEzsi1Xxp9y3bRP\nud6UqVF9erQaMyNUileuh1XMDuKK7EKMTRW08jh8+HB99atf1Ve/+lVt3rxZzz//vF599VWtWbNG\n69atU1tbm7bbbjuNHj1aU6ZM0WGHHaZJkyYVskkoEyljK2GYAgIAAMQH95BFKUgkEvrSl76kL37x\ni3r66ad122236a9//avq6+sltd9Cav369Vq/fn2311ZVVenQQw/VBRdcoJNOOkmJRPi3Aairq9Pf\n//53SdIpp5ySszgsSWeffXa2QPzQQw/1u0AcxHbCamtvksltg1rFmlqO/g8AAABxZyujockNGl6x\nThV2s6xsYTYjyZLnOWrzUv2+TZzrJZS025Sw2wbVPktGbd4QOVam5+W27sMn7VaZra8cMCNlTEWf\nW+gpIc9LSFtPAHCsjBw7Lc84Gpp0VZWoV8YkVd82WvXp0VunZI+PUptavKPQRg+GDx+u4447LjtF\nGjBYjiw5hptmAwCA+KCgg1JhWZaOOeYYHXPMMXJdV6+//rpeeOEFLV26VOvWrVNdXZ1qamo0evRo\n7bDDDjrwwAM1c+bMToXRYnj11VeVybQPrhx44IF5l5s2bZpGjRqlDRs2aN68eUXZTlht7atiD2TQ\n/wEAACCOUnajairWamhyo2y5si1XjpXOXoWd8SrkmYQGWhQ2cvp4ZXPPa0k53W853Ju0O0RGhZ0y\nOzdbrqmQa5Jbf58ZJe0WGWPLMWmNTK1QbWqlmjIjtLltjJrdGg2q6B4Qt4BNKOVCthRiMRsoBKdg\nk+QDAACUJgo6KDWO42j//ffX/vvvX+ym9Oqdd97JPp48eXKPy+66667asGGDFi5cWJTthNXWvnCM\nSqKPof8DAABAHFhyNTS5UTXJdRriNHaaStyyjFyTUJtbsfUq7OIXWaPLkrf1vuJW9mrttBy7TZ5J\naGhyg6oTdUp7KdWnR6s+vZ28AKZjHyjXMnIVfFGs1AvZEsVsAAAAIHLyFXSKcT4zECVr167NPh47\ndmyPy44bN06StG7duqJsJ4y2btq0Ke9zdXV1kqR0Oi27hE4ipqANAACAcuVYbRpRsVrDkuu3Fq/d\n7Fez9V7Yrjfwq7CRn5HdPmV59mrttCrsFnnGlm2lNcpu0cjUCjWkR6qubazavKqitDNjtRefgzr+\niUIhW6KYDQAAAERSroJOypRQxQkoQQ0NDdnHlZU9T6XnP9/U1CTP82TbfT+gD2I7YbR15MiRvS7j\num6f1hWmfAVtAAAAIMrGVb2rlN2QvZ9z+1XYjtLuEHlchR2Sjldrt59M0H4/8fZ7a9ck16k6Uacl\nDTPkFanEGtQJvVEpZEsUswEAAIDI6lrQaUmo6PckBkqZ6XDCh2X1PBDkP2+M6fS6sLYTVlv7oqEi\nqc0VQwNf72DZblqO2ypJak5KkpHnpLSqYphenNrz1OwAAABAqTln7RpNaPVU6bWqypMc4yptOWq2\nk2q2K6RejguKxTKexqRbVFeR0vzRYzV+1Ii8y47YYivVWpldvs0u0TEMY5QyaVV5RhWeJ0+2mp2U\nmuyUtjhVun23vZQOse01G99TsnWznEyr0raj5qTkOil5zsDa0PFYSmpfV/0A19WV57pSy8ZA1uWj\nmA0AAABEWNeCdiqVKnKLgNJVXV2dfdzS0tLjss3NzZLar3p2nP5N4h/EdsJo68aN+QcY6urqNHHi\nxD6vqxj8gRt/EMbyPMnmCm0AAABE0/3bHaZ9Gt/TPg3vaUSmQUmTUZXXohq3UcPcJjXbKTU5KbkW\nNxkrFNv4JxO0yjae2qyk6hJD1WpVqNlJ6Z9VE/Xa0N1CLWRnWbZMh1m4/OOg/ha0cxWyB1oUDwvF\nbAAAACDi/IJ2o8M040BPRo0alX28bt06TZo0Ke+y/v2n+zIVdyG2E0Zba2tr+7V8KepW0DYUswEA\nABBNbXaF5g/bQy8P3V27tK7SPg3vaVLLCiWMmy2wVqVb1GYl1eSk1GolS/Zq7UgxZuuJA60a4rXJ\nyGo/cSDRfuLA8orReqN6shZV7VT0EwmM5cizk9njn/4WtKNYyJYoZiNAYU89l0g3ydgJppADACBC\nPp94rMfnfz18RkgtKbyaje8p2bZFlpfRpuqqcDaabpXTsjmcbQERNHXq1OzjDz74QAcccEDeZRcv\nXixJmjZtWlG2E1Zby4E/+JLwmorcEgAAAGDwjGXpwyHj9eGQ8RqWadSMxve1d+P7Guo2K2XSqvRa\nNCLTsHXq6wo12UPkWYO417Exg7obt6WBnVhvycgaxG2SjDSoYr5lPFV6baryWrdO6Z7QZqdaLXaF\n2uwKvVW1i96onqx1FaV1EnDXE3r7WtCOaiFbopgNAAAAlA3PTijT2tr7gkBM7bvvvrIsS8YYzZ8/\nX+ecc07O5ZYtW6ZVq1ZJkvbbb7+ibCestpYLz0nKuIMYwAMAAABK0JZEtV4YPkMv1kzX5OYV2qfx\nXe3SulrO1umwK91WVbstarWTarKHqM1K9KvAm/LaNDzTOOCC9GCMyDQMeh1bnEo1OZX9ek3Ca78K\nu9Jrk5HUYleoyRmqjO1obbJWr1dP0dtVOxdnKvE+6m9BO8qFbIliNgAAAFBW0ul0sZsAlKyxY8dq\n5syZmjdvnh588EH95Cc/kW13L4Def//92ccnnnhiUbYTVlvLibEcmcFckQIAAACUKM+y9e+qCfp3\n1QTVpuu1T+N7mt74gSrtNg0xbapyW1Sb2SLXstunyLZTfdo3HuK1KWM5auhnQTiXtJXodT0ZR6qQ\npU2JYYPe3hCvTVVeW5+K2ZYxW5dvUcK4yliO6p1Ktdgppa2E3qnaSW9UT9HKilGRmbq9rwXtqBey\nJYrZAAAAAIAYueSSSzRv3jwtXbpUt99+uy6++OJOz2/evFk33HCDJGnGjBn6+Mc/XrTthNXWskIx\nGwAAAGVuU7JGz4zYT88Nn6FpTUu1T+N7Gt+2Xo5xVbX1Su2hbnP7Fcdbi7X5CrSWJNey1WYn9c+q\niYNq1xanSq8N3U279bBMQ6Wnl0bsp+3SdYPa1pTm5UoaVzI9n9Df/jtpUaXXJktGLXaF6p1qpa2E\nNiWH6Y3qyfpX1US1OKlBtadYeitol0MhWwqpmJ1Op5VMRu+XAwAAAAAoL5/97Gf1i1/8QvPnz9dX\nv/pVZTIZXXDBBRoyZIjeeOMNXXTRRVqxYoVs29ZPf/pTWTkGfW6++WZdffXVkqR77rlHn/rUpwqy\nnSDWAQAAAKA8ZayE3qyeqDerJ2pM20bt0/ie9mharJSX3noVcqtGZrYoYzlqtlNqtivyXq1tZOmJ\nkQcUvtGW9MqwaYNezZg1T2i7TH3uJ43ZerV6q5ImI9ey1ehUqtlOKWPZerdyR71RPUVLU9vLlMEx\nVL6CdtfHUS1kS1IopywfffTRmj17tl544YUwNgcAAAAAQE62bevhhx/WtGnT1NbWpi9/+cuqrq5W\nVVWV9t13X7388stKJBL6xS9+oSOPPDLnOpqamrRhwwZt2LBBrXnuUx/EdoJYBwAAAIDyt7ZipJ6q\nnalfjDtJT9V+VMtSY7QhWaMNiRqlrYSGus0and6smkyjEl6m2M0tCMe4Guo2aXS6TsMzjfKs9unM\n1ydGaHXFSD07fIZ+OfZEPTzqEC0ZMrYsCtk+z0nK7XB1ueO2lk0hWwqpmN3Q0KC77rpLBx98sHbf\nfXddf/31Wrt2bRibBgAAAAAUyC9/+UsNGTJEQ4cO1e23396v13z9618vcOvyGzt2rF577TVdffXV\nmjp1qiSpublZNTU1Ou200/Tiiy92m9K7WNsJq60AAAAAoq/NrtDrQ3fTndt/WveOPkr/rJ6sTYlh\nWpccoQanUhUmo1GZeo1M16vSbZUlU+wmD4olKeW1qTazRdulN6vSbVOzM0TrkiNUlximRZU76cHt\nDtEvx56guTV7qSFRVewmF0zXgrYv6oVsKaRpxk899VQtXrxYGzZs0DvvvKNvfOMb+va3v63jjz9e\nF1xwgY499lg5jhNGUwAAAAAAAclkMmptbVVra6suuugiLVq0SD/+8Y9l2/nPm/Zfk073fG+zQqus\nrNR3v/tdffe735XrumppaVF1dXWfXnvppZfqwgsvlCTV1NQUbDtBrgMAAABAjFiWVqTGaEVqjOa4\n+2mvpg+0T8N7GpFpUNJkVOW1qMZtlCS12BVFbuzA2cbTiEyD2qyk6hJD1WpVqNlJ6Z9VE7Vg6GTV\nJYYVu4kIQChXZl955ZVasWKFfv/73+vII4+UZVlKp9N64IEHdNxxx2mXXXbRd7/7XX344YdhNAcA\nAAAAEKAhQ4ZIkm644QadcsopamxsLHKL+sdxnH4VhysrK7Xddttpu+22U0VF3wd++rudQq0DAAAA\nQHw0O0M0f9geun3s8bpv9OF6u2qXTldru+GUCgPnyVKTPUTrk8O1KTlM7w/ZQY+OPFC/GHeS/jFi\n39gVsm033WlqcZ/jtsp2i3sy+WCF9g5NpVI666yzNGfOHL377rv61re+pbFjx0qSli9frmuuuUaT\nJk3SUUcdpd///vdqaWkJq2kAAAAAgEE4//zzddlll0mSHn74YR1yyCFasWJFkVsFAAAAAPAZy9KH\nQ8brwe0O1W1jT9BzNTO0JjlSDYkqrawYVezm9cvKilFqdlLakByuV4ZO011jPqXfjTlab1fvKteK\n30zQXQvZrpPqdg/tKBe0i3K6xaRJk3Tttddq2bJlevDBB/XpT39atm3LGKM5c+bonHPO0fjx4/XV\nr35VCxYsKEYTAQAAAAB9ZNu2rr/+et12221KJBJ6/fXXNXPmTL322mvFbhoAAAAAoIstiWq9MHyG\nfjnuRN095lj9cbsjit2kfpkzYn/dPeZY/XzcSXq69qNaV1Fb7CYVTa5Ctucku91DO8oF7aLOHZBI\nJHTSSSfpscce0+LFi/X9739fO+20kyRp06ZNuuWWW7TPPvto//33169+9Ss1NzcXs7kAAAAAgB5c\ndNFFevzxxzVixAitXLlShx56qB5++OFiNwtxYrxitwAAAACIDM+ytbpilNJ2sthN6RdjWZFsd9Dy\nFbJ95VLQLpmJ8EeNGqVddtlFO+64Y7fnXn31VV144YWaNGmS7rnnniK0DgAAAIiGZDLeB3IovqOO\nOkovvviiJk6cqMbGRp1yyim6/vrri90sxIBlXFkUswEAAADEQG+FbF85FLSLXsx+/fXX9cUvflHj\nx4/X5z//ec2dO1eStNNOO+nqq6/WT37yE02fPl2StGrVKn3uc5/TzTffXMwmAwAAACXJ9jJKpVK9\nLwgU2LRp0zRv3jwddNBB8jxP3/jGN3TRRRcpk8kUu2koU7abluVRyAYAAABQ/vpayPZFvaBdlGJ2\nfX29fvnLX2r//ffXfvvtp1tvvVWbN2+W4zg6/vjj9eijj+rDDz/Ud7/7XX3961/Xv/71L73wwgua\nOXOmJOn73/8+gyAAAABAB7abVtJrK3Yzg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C9+/lIrZEvcMxsBcd3w\nBhT8TiPhNYW2TQAAgGIq9XsoAShftt35HPiwBzKKfQ/tYg1k+Yrd/5Of/OQnv4/85Cc/+cNCfvJL\n5O+aPyylWMiWuDIbEeU5SRmbty8AAIiPUjlDF0C8WB1m4CrWQEaxrtAu9kCWr1j9P/nJT37y+8hP\nfvKTP2zkJz/5O+cP45a7pVrIlihmI8KM5chYvIUBAEB8UNAGUCzFHsgIu6BdKgNZvrD7f/KTn/zk\n95Gf/OQnf7GQn/zk35bf9tyCFrRLuZAtUcxG1FHMBgAAMUNBG0AxlMJARlgF7VIbyPKF1f+Tn/zk\nJ7+P/OQnP/mLjfzkJ/+2/JZMp4JzUEq9kC1xz+y8XNfVG2+8oRdffFErVqzQqlWrZIzR2LFjdcAB\nB+i4445TRUVFoNucO3euHnvsMS1fvlypVEpTpkzR6aefrl122SXUdQAAAKC05b2HFOeqAgiYMabY\nTeik0PfQLtWBLF+h7yFIfvKTn/w+8pOf/OQvFeQnv0R+22vK/szy3MCOf6JQyJYoZuf0ox/9SNde\ne602b96cd5ntt99et9xyi04//fRBb2/16tX63Oc+p6effrrbc1deeaW++c1v6pprrpHdwz2ig1gH\nAAAAoiPXAZ1nlc4BF4Dy4HmeSm0oI19Be7BKfSDLV6gBPfKTn/zk95Gf/OQnf6khP/mleOf3XEe2\nF+wJvVEpZEsUs3NauHBhtpC9//7769hjj9XkyZNlWZbmz5+v3/zmN1qzZo3OOOMM3X777brwwgsH\nvK2GhgZ98pOf1IIFC2Tbtj73uc/psMMOU2Njo373u99p7ty5uvbaa9XU1KQbb7yxYOsAAABA9HQ9\noEt6bcokS+/ACwCClrOgLckMsPQelYEsX9ADeuQnP/nJ7yM/+clP/lJFfvJL8c0vy5aRJUvtM2cN\ntqAdpUK2RDE7J8uydNJJJ+m73/2u9ttvv07PnXfeefra176mww47TKtWrdKll16q4447TuPGjRvQ\ntq655hotWLBAknTvvffqrLPOyj53ySWX6LzzztNvf/tb3XTTTTr99NN10EEHFWQdAAAAiKauB3Sp\nVKqnxQGgbHQtaLf/sP+XaEduIGuroAb0yE9+8pPfR37yk5/8pY785Jfim1+WLRl327cDLGhHrZAt\niZvq5fI///M/evDBB7sVsn1TpkzRj3/8Y0lSU1OT7r///gFtZ8uWLbr55pslSSeccEKnIrQk2bat\nX/ziFxo+fLik9qJ1IdYBAACAaPOcpFyHIjaA+DG2I9NhaMOS6VdBO7IDWVt17f8dt1W2m+7z68lP\nfvKT30d+8pOf/FFBfvLHOb+R3eX4x5PluT28orMoFrIlitk5bb/99r0uc9RRR2Ufv/322wPazqOP\nPqrm5mZJyjtV+bBhw3TGGWdIkubMmaNNmzYFvg4AAABEn+cklbYrit0MAAhd14K27bl9GtCK+kCW\nb6ADeuQnP/nJ7yM/+clP/qghP/njnL/7Cb19K2hHtZAtUcwesHR62x+GMWZA63j22WcltU9rfuih\nh+Zd7vDDD89uc+7cuYGvAwAAAOXBsxNqbW3tfUEAKDNdB2F6G9Aql4EsX38H9MhPfvKT30d+8pOf\n/FFFfvLHOX9/C9pRLmRLFLMHbM6cOdnHu++++4DW8dZbb0mSxo8fn50GPJdp06ZlH3e9CjyIdQAA\nAKB8dDzpEgDipH3KPSv7fb4BrXIbyPL1dUCP/OQnP/l95Cc/+ckfdeQnf5zz97WgHfVCtiQlit2A\nKGpra9P//M//SJIqKip0yimnDGg9K1askCTtsMMOPS7X8fnly5cHvo7e9DQteV1dXb/WBQAAAABA\nwVi2PGvbgI4/aOUPVpXrQJbPz+JnJD/5O/6c/OQnP/l95Cc/+clfLuKe39iO5ClbrLbkSd62mavK\noZAtUcwekG9961tatGiRJOmrX/2qJkyYMKD1bNmyRZJUXV3d43Idn29oaAh8Hb0ZOXJkr8vU1NTI\n9lxZ6aZ+rXswbC8tY1wlWz3VbHwvtO0CAAD0RbJ1s2wvLct4SoS0j2SMJ7uyMpRtAUDJsmy5drLb\ngFbXx+U2kOXLN6DX9TH5yU9+8pcb8pNfIj/5yd/xa9fH5C/P/PkK2tnH/nIRLWRLFLP77e6779ZP\nf/pTSdI+++yja665ZsDramtrkyQlEj3/N1RUVGQfd70HYhDrCEIikdg6hUEm8HXnYxkjGU+20kq2\nbenbi4wny3i5n7JsySrzmffJT37y536K/OQnf8gNClmR8tteWpbnyZKRHdI+kjFGVi/7hQAQBz0N\naEnlO5DlIz/5JfKTn/wdv/rIT37yk79ckT/e+XMWtDs+H+FCtkQxu1+efPJJXXjhhZKkHXfcUQ8/\n/LBSqVQvr8qvqqpKmzdv7rW43NzcnH3c9QrsINbRm40bN+Z9rq6uThMnTpRlWbLUPoAanq13QzP9\nK6JbxpXldflDtrcOYucZ6C4n5Cc/+cnfEfnJ3/6A/IXZZnshWzJSSPtIlowsu8xPTgCAPuo6oOUr\n94EsH/nJL5Gf/OTviPzkJz/5yx35452/a0E7+/OIF7KlGBWzn3jiCd1xxx05n5s5c6a++c1v9vj6\n559/XqeccorS6bRGjx6tp59+WjvttNOg2jR8+HCtWrWq1/tOb968Ofu4pqYm8HX0pra2ts/LhvoH\n4UmyLBk7oUyyqs8vs920HMWzM5PIT37yk5/8HZGf/IXMn0w3SV5GMia8fSRjJBPeTDkAAAAAAABA\nIcWmmP3ee+/pT3/6U87nMpmeB/xeeeUVHXfccWpqalJtba2eeuopTZs2bdBtmjRpkt555x0tXbq0\nx+WWLFmSfTx58uTA1xEntpvudlaOtO1MnXIf0Cc/+clP/q7IT36J/OWeHwDiKu79P/nJT37yd0V+\n8kvkJz/5yxn5453f8txuV2VL2+6hHeWrs2NTzP7Upz6l++67L+dzO+ywQ97X/etf/9Kxxx6r+vp6\nDRs2TE888YT22WefQNo0Y8YMPfbYY6qrq9OHH36oXXfdNedyr732WvbxXnvtFfg64qJrR+Y67VPE\nd72HQrl2aOQnP/nJ7yM/+SXyxyU/AMRV3Pt/8pOf/OT3kZ/8EvnJT/6OX8lP/nLUtZBt1H4Luk73\n0I5wQTs2xexJkyZp0qRJ/XrNv//9bx199NHauHGjqqur9Ze//EUzZ84MrE2f+tSndO2110qS/vKX\nv+hLX/pSzuUef/xxSdKoUaP0sY99LPB1xEGujqxjp1XuHRr5yU9+8vvIT37yxyc/AMSW8WLd/8f9\n84/85Cc/+X3kJz/5ye8jP/k7fi23/LkK2dmitVceBW272A0oVYsXL9YnPvEJrVmzRkOGDNGf//xn\nHXzwwYFu46CDDsoW2G+++Wa1trZ2W2bBggV6+umnJUnnnHOOHMcJfB3lrreOzHOS2bN0pPYOzXbT\nobaxkMhPfvKT30d+8pM/PvkBILaMJ9tzs9/Grf+P++cf+clPfvL7yE9+8pPfR37yl3P+HgvZai9c\nmw6lYEuerA7HS1FBMTuHlStX6hOf+ISWL1+uiooKPfjggzryyCP7vZ5LL71Up512ms4777ycz9u2\nrR/+8IeS2q8CP//889XU1JR9/r333tMZZ5whz/M0bNgwffvb3y7IOspZbx2Zr1w7NPKTn/zk95Gf\n/OSPT37LsordBAAoCkueLJns93Hr/+P++Ud+8pOf/D7yk5/85O+K/OQvx/y9FbKzPy+DgnZsphnv\nj4svvlgffPCBJGn8+PG64447dMcdd+RdfsaMGfre977X7edPPvmkFi1apOHDh+d97RlnnKEXX3xR\nN954o37/+9/rySef1MyZM9XY2KgXX3xRmUxGiURCf/zjHzV27NiCraMc9bUj8/nPlcuUE+QnP/nJ\n7yM/+ckfn/wyLsVsALHUdTAmbv1/3D//yE9+8pPfR37yk5/8+ZCf/FL55O9rITv7vO1Eespxitk5\nbNmyJft48eLFWrx4cY/L19XVDWp7P/3pTzV9+nRdffXVWrp0qZ544onscwceeKBuvvlm7b///gVf\nRznpb0fmK5cOjfzkJz/5feQnP/njk7/9QMb0viAAlJmuAzme7cSq/4/75x/5yU9+8vvIT37yk783\n5Ce/FP38/S1kZ5eLcEGbYnYOP/jBD7Ru3bo+L7/99tvn/PnNN9+s+vp6VVRU9LqOCy64QLNnz9ab\nb76pZcuWKZVKacqUKdppp5363I4g1lEOBtqR+aLeoZGf/OQnv4/85Cd/fPJ3PZABgLjoPpBjSVbf\n76gW9f4/7p9/5Cc/+cnvIz/5yU/+viI/+aXo5u869tPXQnZ2+YgWtClm53DYYYcFsp5jjjmmX8tb\nlqW99tpLe+2114C3GcQ6omywHZkvqh0a+clPfvL7yE9+8scnf7dCjuHqbADxkPNEnn4Usn1R7f/j\n/vlHfvKTn/w+8pOf/OTvL/KTX4pefpnBFbKzr4tgQbv/R3lAiQqqI/N5TlKuk8p+77itst30oNpY\nSOQnP/nJ7yM/+ckfn/zdptaVRTEbQCzknFpvEEMcUev/4/75R37yk5/8PvKTn/zkHyjykz9K+WW8\nTreWG2ghO/t62+l0/GTJk+W5g2piIVHMRlkIuiPzRaVDIz/5yU9+H/nJT/745M9VyJFVumfRAogm\n2y69YYOB3iOuN1Hp/+P++Ud+8pOf/D7yk5/85B8s8pM/KvntDoXmoI5/olTQLr2jUqC/jFeQjsxX\n6h1aoUwq3JEAAEqmSURBVDpyH/nJT37y+8hPfvKXTv5CFXIAoCvLsordhE4K3f+Vev8f988/8pOf\n/OT3kZ/85Cd/UMhP/ijll4KdDjwqBW2K2Yg243U6IyXojsxXqh1aoTtyH/nJT37y+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          }
        }
      ],
      "source": [
        "# Simulation\n",
        "sim = td.Simulation(\n",
        "    size=sim_size,\n",
        "    grid_spec=grid_spec,\n",
        "    structures=[substrate, waveguide],\n",
        "    sources=[],\n",
        "    monitors=[freq_mnt, mode_mnt, flux_mnt],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        ")\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(11, 4))\n",
        "sim.plot(z=0, ax=ax1)\n",
        "sim.plot(y=0, ax=ax2)\n",
        "plt.show()"
      ],
      "id": "7950294c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Note that Tidy3D is warning us that the simulation does not contain a\n",
        "source. However, since this simulation is used to construct the mode\n",
        "solver and will not be run directly, we can ignore this warning.\n",
        "\n",
        "### Mode source\n",
        "\n",
        "Before we can run a simulation with a mode source, we have to select\n",
        "which of the eigenmodes we would like to inject. To do that, we can\n",
        "first visualize the modes using the in-built eigenmode solver and\n",
        "plotting functions. The modes are computed at the central frequency of\n",
        "the source, and in order of decreasing effective index `n`, such that\n",
        "the modes that are fully below light-line (if any) should appear first.\n",
        "The solver assumes periodic boundary conditions at the boundaries of the\n",
        "2D plane. Thus, for accurate results, the plane should be large enough\n",
        "for the fields to decay at the edges. In cases when found solutions do\n",
        "not decay to zero at the plane boundaries a warning is shown to make the\n",
        "user aware."
      ],
      "id": "536ed30c-1db4-4c7b-b1bb-2f26c57200df"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "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\">05:35:36 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\">2</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": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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88ccT3B8YGKi3335bQ4cONbf1s5bSc+HEiRMuz8kYcm9OxmDLp3SLghq4VEBAgGrX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\nLl26FK995syZ5r/NQYM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vtuvJr3X4mOyfDOp2TFgBokjU8//VSS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\n"
          }
        }
      ],
      "source": [
        "# Visualize the modes\n",
        "mode_spec = td.ModeSpec(num_modes=3)\n",
        "ms = ModeSolver(simulation=sim, plane=src_plane, mode_spec=mode_spec, freqs=[freq0])\n",
        "modes = ms.solve()\n",
        "\n",
        "fig, axs = ms.plot_field_components(\n",
        "    field_names=(\"Ey\", \"Ez\"),\n",
        "    mode_indices=(0, 1, 2),\n",
        "    val=\"abs\",\n",
        "    f=freq0,\n",
        "    figsize=(12, 12),\n",
        ")\n",
        "\n",
        "modes.to_dataframe()"
      ],
      "id": "499810f6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The waveguide has a single guided TE mode, as well as a TM mode which is\n",
        "very close to the light line (effective index close to substrate index).\n",
        "Finally, the last mode shown here, is below the light-line of the\n",
        "substrate and is mostly localized in that region. However, modes like\n",
        "these should always be considered unphysical, because of the assumption\n",
        "is that they decay by the edges of the mode plane. Thus, for meaningful\n",
        "results, only Mode 0 and Mode 1 should be used by the mode source.\n",
        "\n",
        "### Run simulation\n",
        "\n",
        "We set the mode source to the fundamental TE mode. Then, we run the\n",
        "simulation as usual through the web API, wait for it to finish, and\n",
        "download and load the results."
      ],
      "id": "699e5567-a78b-4f90-a8a1-0c61878bf5ab"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "source_time = td.GaussianPulse(freq0=freq0, fwidth=fwidth)\n",
        "mode_source = ms.to_source(mode_index=0, direction=\"+\", source_time=source_time)\n",
        "sim = sim.copy(update=dict(sources=[mode_source]))"
      ],
      "id": "69a04aac"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As of tidy3d 2.4 there is an alternative way to export a simulation with\n",
        "the mode source added through the `sim_with_source()` method, which\n",
        "creates a simulation in the mode solver, using the same inputs as\n",
        "`to_source()` above, with the created mode source, as done below. There\n",
        "are also `sim_with_monitor()` and `sim_with_mode_solver_monitor()`\n",
        "methods that return simulations with the corresponding objects added."
      ],
      "id": "25a299b2-07e4-49bd-955f-d3ffc97fc826"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim = ms.sim_with_source(mode_index=0, direction=\"+\", source_time=source_time)"
      ],
      "id": "322e23a9"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "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\">05:35:39 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'mode_tutorial'</span> with resource_id                      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-4ea9f51f-85f8-4d57-ad19-e409760ae4e0'</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-4ea9f51f-85f8-4d57-ad19-e409760ae4e0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-4ea9f51f-85f</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4ea9f51f-85f8-4d57-ad19-e409760ae4e0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">8-4d57-ad19-e409760ae4e0'</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\":\"617b9ccb3d564a0dbf3645046cbbc803\",\"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\">05:35:41 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</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\">05:35:42 UTC </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": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"fe64c7d7e836465385301bbc679cc3d8\",\"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\">05:35:56 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\">05:35:57 UTC </span>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"97271585fc0b4545b2b902dc303d0477\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:35:59 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</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>"
            ]
          }
        },
        {
          "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\":\"cbaabfb270eb40b68bdc32a31a889f42\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:36:02 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\">05:36:04 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-4ea9f51f-85f8-4d57-ad19-e409760ae4e0\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-4ea9f51f-85f</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-4ea9f51f-85f8-4d57-ad19-e409760ae4e0\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">8-4d57-ad19-e409760ae4e0'</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\":\"9243cb5297974b8b977d4951161923fe\",\"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\">05:36:05 UTC </span>Loading results from data/simulation.hdf5                          \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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"mode_tutorial\", verbose=True)\n",
        "sim_data = job.run(path=\"data/simulation.hdf5\")"
      ],
      "id": "831bc8a0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s first examine the in-plane fields recorded by the frequency\n",
        "monitor. We can already see how the source emits all of its power in the\n",
        "desired direction and waveguide mode."
      ],
      "id": "9a71f440-172c-4d62-82e1-62c46e099457"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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QQT4EpSS0uLFi9erMbGtf/5Hj9+vCZPnqyCgoLuKKLLRx99JEkKBoP62c9+FjfdmDFj9Pe//122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\nxxiNVGA0nMWjnc99yXb2yNTiH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          }
        }
      ],
      "source": [
        "sim_data.plot_field(\"field\", \"Ey\", z=wg_height / 2, f=freq0, val=\"real\")\n",
        "plt.show()"
      ],
      "id": "bf3dae1d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Mode monitors\n",
        "\n",
        "Mode monitors allow us to decompose the frequency-domain fields recorded\n",
        "in a simulation into the propagating modes of a waveguide. Specifically,\n",
        "we can write the modes of the waveguide at angular frequency $\\omega$\n",
        "that are propagating in the *forward* direction, i.e. in the positive\n",
        "`x` direction in the example above, as\n",
        "\n",
        "$$\\mathbf{E}_p^f(\\omega, x) = \\mathbf{E}_p^f(\\omega) e^{i k_p x}, \\quad \\quad \\mathbf{H}_p^f(\\omega, x) = \\mathbf{H}_p^f(\\omega) e^{i k_p x},$$\n",
        "\n",
        "where $p$ is a discrete mode index, $k_p = n_p \\omega/c$ is the\n",
        "wave-vector, $n_p$ is the effective index of the $p$-th mode, and\n",
        "superscript $f$ specifies forward propagation. The fields in the\n",
        "backward direction can be obtained via reflection symmetry. In the axes\n",
        "of the simulation we have $k_p \\rightarrow -k_p$ and\n",
        "$\\mathbf{E}_{p}^b(\\omega) = (-E_{p,x}^{f}, E_{p,y}^{f}, E_{p,z}^{f})$,\n",
        "$\\mathbf{H}_{p}^b(\\omega) = (H_{p,x}^{f}, -H_{p,y}^{f}, -H_{p,z}^{f})$\n",
        "for backward modes.\n",
        "\n",
        "The fields stored in a monitor can then be decomposed on the basis of\n",
        "these waveguide modes. Following\n",
        "[1](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.066608),\n",
        "[2](https://arxiv.org/abs/1301.5366), we can define an inner product\n",
        "between fields in the 2D plane as\n",
        "\n",
        "$$(\\mathbf{u}_1, \\mathbf{u}_2) = \\frac{1}{4} \\int_A \\left(\\mathbf{E}_1^* \\times \\mathbf{H}_2 + \\mathbf{E}_2 \\times \\mathbf{H}_1^* \\right) \\cdot \\mathrm{d}\\mathbf{A},$$\n",
        "\n",
        "where $\\mathbf{u} = (\\mathbf{E}, \\mathbf{H})$ combines both\n",
        "electromagnetic fields, the integration is over the plane area $A$, and\n",
        "$\\mathrm{d}\\mathbf{A}$ is the surface normal. From this definition it is\n",
        "clear that $(\\mathbf{u}_p, \\mathbf{u}_p)$ is just the flux carried by a\n",
        "mode $\\mathbf{u}_p$, which is positive for forward-propagating modes and\n",
        "negative for backward-propagating ones. Note that the modes coming from\n",
        "the mode solver are normalized to unit directed flux, such that\n",
        "$(\\mathbf{u}_p, \\mathbf{u}_p) = \\pm 1$. The mode monitor amplitudes are\n",
        "defined by the complex coefficient\n",
        "\n",
        "$$c_p = \\frac{(\\mathbf{u}_p, \\mathbf{u}_s)}{(\\mathbf{u}_p, \\mathbf{u}_p)}$$\n",
        "\n",
        "which is the power amplitude of field $\\mathbf{u}_s$ carried by mode\n",
        "$p$, while the power carried by that mode is given by $|c_p|^2$.\n",
        "\n",
        "We can have a look at the monitor modes, but as expected they should be\n",
        "identical to the source modes. As previously, the unphysical mode that\n",
        "does not decay to zero at the plane boundary triggers a warning."
      ],
      "id": "21116c08-7226-4ade-ba5e-c1a7990555a2"
    },
    {
      "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\">05:36:10 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\">2</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": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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88ccT3B8YGKi3335bQ4cONbf1s5bSc+HEiRMuz8kYcm9OxmDLp3SLghq4VEBAgGrX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\nLl26FK995syZ5r/NQYM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vtuvJr3X4mOyfDOp2TFgBokjU8//VSS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\n"
          }
        }
      ],
      "source": [
        "# Visualize the monitor modes\n",
        "ms = ModeSolver(\n",
        "    simulation=sim, plane=mode_mnt.geometry, mode_spec=mode_mnt.mode_spec, freqs=[freq0]\n",
        ")\n",
        "modes = ms.solve()\n",
        "\n",
        "fig, axs = ms.plot_field_components(\n",
        "    field_names=(\"Ey\", \"Ez\"),\n",
        "    mode_indices=(0, 1, 2),\n",
        "    val=\"abs\",\n",
        "    f=freq0,\n",
        "    figsize=(12, 12),\n",
        ")"
      ],
      "id": "49b4f4f4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We note that in `Tidy3D`, the fields recorded by frequency monitors (and\n",
        "thus also mode monitors) are automatically normalized by the power\n",
        "amplitude spectrum of the source (for multiple sources, the user can\n",
        "select which source to use for the normalization). Furthermore, mode\n",
        "sources are normalized to inject exactly 1W of power at the central\n",
        "frequency."
      ],
      "id": "85d6ae5d-1139-4816-8498-92312505283b"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Flux at central frequency:  1.0000014"
          ]
        }
      ],
      "source": [
        "# Flux in the mode monitor (total power through the cross-section)\n",
        "flux_wg = sim_data[\"flux\"].flux\n",
        "print(\"Flux at central frequency: \", flux_wg.isel(f=fcent_ind).values)"
      ],
      "id": "0cb41683"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We can also use the mode amplitudes recorded in the mode monitor to\n",
        "reveal the decomposition of the radiated power into forward- and\n",
        "backward-propagating modes, respectively. As we would expect, all of the\n",
        "power is injected into the fundamental waveguide mode, in the forward\n",
        "direction. More precisely, this is true up to some numerical error that\n",
        "decreases with increasing simulation resolution."
      ],
      "id": "1c7084ab-bb13-4fc3-939b-400bb7ce3ad7"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Power distribution at central frequency in first three modes\n",
            "  positive dir.  [1.00000120e+00 8.85895860e-18 7.05796347e-19]\n",
            "  negative dir.  [1.48474388e-09 2.48477654e-18 7.40198693e-19]"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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NGydNTlXYvn37DCZnGjVqVJE0PXv2RGhoKICCq2GvvPKKybLnzp1rsOyeMe3b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          }
        }
      ],
      "source": [
        "# Forward and backward power amplitude coefficients\n",
        "mode_amps = sim_data[\"mode\"]\n",
        "coeffs_f = mode_amps.amps.sel(direction=\"+\")\n",
        "coeffs_b = mode_amps.amps.sel(direction=\"-\")\n",
        "\n",
        "print(\n",
        "    \"Power distribution at central frequency in first three modes\",\n",
        ")\n",
        "print(\"  positive dir. \", np.abs(coeffs_f.isel(f=fcent_ind) ** 2).values)\n",
        "print(\"  negative dir. \", np.abs(coeffs_b.isel(f=fcent_ind) ** 2).values)\n",
        "\n",
        "# Free-space wavelength corresponding to the monitor frequencies\n",
        "lambdas = td.C_0 / freqs\n",
        "\n",
        "fig, ax = plt.subplots(1, figsize=(6, 4))\n",
        "ax.plot(lambdas, np.abs(coeffs_f.values) ** 2)\n",
        "ax.set_xlim([lambdas[-1], lambdas[0]])\n",
        "ax.set_xlabel(\"Wavelength (um)\")\n",
        "ax.set_ylabel(\"Power in mode (W)\")\n",
        "ax.set_title(\"Mode decomposition (forward-propagating)\")\n",
        "ax.legend([\"Mode 0\", \"Mode 1\", \"Mode 2\"])\n",
        "plt.show()"
      ],
      "id": "2c2564ce"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We can examine the frequency dependence of the results a bit more\n",
        "closely, and compare them to the total power flux, which can be computed\n",
        "for any frequency monitor. The flux is the area-integrated time-averaged\n",
        "Poynting vector and gives the (signed) total power flowing through the\n",
        "surface. The flux computation and the modal decomposition are done in\n",
        "separate monitors and in a completely different way, but because all the\n",
        "power is in the fundamental mode here, the flux matches really well the\n",
        "zero-mode power from the power decomposition."
      ],
      "id": "7bc2f9c8-8d09-4d34-9373-872344348c83"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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rryXGLdVPZZ97vXv3xuFwALB161ZvfY/ivPfee7jd7hLjq2vnWFW9H5xudrvd+7gshW5r\ny+sWEcmn5IKIiJx2DoeDSy+91Pv9bbfd5t1+72QJCQlMmzbN+/3w4cNp3rx5sXMXTAw8+uij3nvY\ni0oY5Cccli1bxk8//VTkHAVZLBZuvPFG7/dTp05l8+bNxcaSLzY2lilTppRagE2qXmWfe4GBgYwf\nP977/fXXX+9TqK+gzZs3M3369BLjq4vnWFW+H5xOBW9z2Lt3b6nja8vrFhHJp+SCiIj4xX333ef9\nxPfgwYP069ePt99+m+PHjwN5ldQ/+eQT+vXr5922z2Qy8Z///KfEeQsmBubNmwdAUFBQkfu954/N\nysry1mho2LAhnTt3Lnb+e+65x/tHfXx8PH379uWf//wnixcvJjU1Fcj71HL//v3Mnj2bSy65hNat\nW/PRRx/h8XhK/4eRKlfZ5969997r3UZw8+bN9O/fn88//9x7m01cXBwvvfQSQ4cO9Z4jJamL51hV\nvR+cTu3atfOeB6tWreK9994rdfeO2vC6RUTyKbkgIiJ+0blzZ5577jnv90eOHOG6666jYcOGWCwW\noqKimDx5ss8ngPfdd1+xqwry9enTh7CwMJ+2wYMH+yxZLthus9l82kqbPzIykm+++cZbTC07O5uX\nX36ZoUOHEh4ejtVqxeFw0KpVKyZNmsQXX3yBy+UqcU45vSr73OvRowcPPfSQ9/tdu3YxYcIEIiIi\nsFgsxMTEcMcdd5CUlETr1q1LXc5eF8+xqno/OJ0cDgfnnHMOAB6Ph2nTphEaGorD4fAWvL3//vt9\nnlMbXreISD4lF0RExG9uueUW3nrrLYKDg33aT/701Waz8cQTT/Dkk0+WOqfFYmHIkCE+bcX9IR4c\nHEy/fv3KNLagnj17snr16iIvEou6n75ly5Z8/PHHPjsBiH9V9rn3n//8h/vvv79QUb+C87Vq1Ypv\nv/3WZ4eJ4tTFc6wq3g9Ot6eeeorQ0FCftpycHLKzs8nOzi5yq9Ha8LpFREDJBRER8bNrr72W3bt3\n8+9//5s+ffp4/zAPDg6ma9eu3HXXXWzfvp0HHnigzHOenCA4uZhjSWPL+olgq1atWLJkCb/99hvX\nX389HTt2JCQkBICAgADat2/PlVdeyXfffcfu3buZNGlSuavJS9Wq7HPvySefZNmyZUycOJFGjRph\nMpkICQmhR48ePP7446xbt44uXbqUOb66eI5VxfvB6dS9e3fWrVvHzTffTIcOHYpcMVWUmv66RUQA\nTIZhGP4OQkREapbs7Gzy//fhcDgq/YLG7XZjsVhO+fkej8enWntJ2/m53W6fTxMruvVfeWMvGKvV\navXes10ZDMMgOzsbyFvRcfItIKdyfJfL5V2Cb7fbS906rzjlPa7T6QTy7jfPv0e9OLm5ud5P98t7\nflb03CuouK0FKxJfZcdYUG36mVT2eV2W36XiFHzt5fkdPx2vW0SkMim5ICIiIiIiIiIVotsiRERE\nRERERKRClFwQERERERERkQpRckFEREREREREKkTJBRERERERERGpECUXRERERERERKRClFwQERER\nERERkQpRckFEREREREREKkTJBRERERERERGpECUXRERERERERKRClFwQERERERERkQpRckFERERE\nREREKkTJBRERERERERGpEKu/A5DqyeVyERsbC0BYWBhms/JQIiIiIiIitYXH4yE1NRWAZs2aYbVW\nLD2g5IIUKTY2ltatW/s7DBEREREREalie/fupVWrVhWaQx9Hi4iIiIiIiEiFaOWCFCksLMz7eO/e\nvURERPgvGBEREREREalUycnJ3tXqBa//TpWSC1KkgjUWIiIiiIyM9GM0IiIiIiIiUlUqo8aebosQ\nERERERERkQpRckFEREREREREKkTJBRERERERERGpECUXRERERERERKRClFwQERERERERkQpRckFE\nREREREREKkTJBRERERERERGpECUXRERERERERKRClFwQERERERERkQqx+jsAERERERGRijAMg4yM\nDFJTU8nJycHj8fg7JJEqZ7FYCAoKIjw8HLvd7u9wlFwQEREREZGaKzMzk0OHDuF2u/0dishpl5mZ\nyYkTJ4iKiqJRo0Z+jUXJBRERERERqZEyMzM5ePAghmF42ywWCxaLBZPJ5MfIRKqWYRjk5uZ6z/3E\nxETsdjuRkZF+i0nJBRERERERqXEMw+DQoUPei6vw8HCioqJwOBxKLEid4PF4SE1NJS4uDoD4+HhC\nQ0OxWv1zma+CjiIiIiIiUuNkZGR4b4UIDw8nOjqagIAAJRakzjCbzURERNCgQQNvW0ZGhv/i8duR\n/SQ7O5sVK1bw0ksvMXnyZNq1a0dISAghISHceuutlX68o0eP8p///Ic+ffrQqFEjmjdvzqhRo3jr\nrbdwuVynbQ4RERERkdokNTXV+zgqKkpJBamzwsLCvI/T09P9Fkeduy3i7LPPZvHixUX2OZ3OSj3W\nwoULueSSSzhx4oRPe2xsLL///jtvvfUWP/zwA/Xr16/SOUREREREapucnBwgr8aCw+HwczQi/mO3\n27FYLLjdbnJzc/0WR51buWC32+nfvz///Oc/+fDDD9m4cWOVHGf37t2MHj2aEydOEB0dzaeffkpc\nXBy7d+9m+vTpWCwWVq1axejRo4utbFsZc4iIiIiI1Eb5202qeKNI3u8B4NdtWOvcyoVff/3V582n\nslcr5LvnnntISUkhMDCQBQsW0KFDB2/fww8/TIMGDbj11ltZtmwZs2bNYtq0aVUyh4iIiIhIbabE\ngkj1+D2ocysXTsc/+sGDB/n6668BuP76632SAvluvvlm2rRpA8BLL71UJXOIiIiIiIiInA51Lrlw\nOuQnBQAuv/zyIseYTCYuu+wyADZu3MjevXsrfQ4RERERERGR00HJhSrw559/Ann1Hfr06VPsuDPP\nPNP7eNWqVZU+h4iIiIiIiMjpoORCFdi+fTsAzZo1w2azFTuudevW3sfbtm2r9DlERKR2yM1xkpJ4\niKTj+8lIO4HblePvkERERGqFRYsWERAQQEBAAFu3bvV3ODVanSvoeDocO3YMgEaNGpU4rnHjxt7H\nx48fr/Q5SpOUlFRsX3JycrnmEhGRvArNWc50stJPkJWegDMjiZz0BHIyk3FlpeDOTsWdlYqRnY6R\nk445JwNTbiaW3CysbidWdzZ2dzYOTy4OI5cgXATiJsBkEH7SsXIME9mYyMZCLmZyTBZyTVZyTRZc\nJisusw232YbbYsdjtuGxOjAsdgyLA8MWANYATNYAsAVitgVgsgVhsQdicQRjsQdhdYRgdYRgCwjG\nZg/BFhiGPSCUgMAQHPZArGZVZxcRqY3mzJnDlClTKjzHxRdfXEkRVS2Px0N2drb3sZw6JReqQHp6\nOgCBgYEljivYn/+cypyjNFFRUeUaLyJSWxiGQY4rl8ysFDLTEnCmJ5KdkUhOZhK5mUm4slJxO1Px\nZKdhZKdDTjqmnAzMuVlYXJlYXdnY3NnYPTk4jBwCDReBuAjCQ7DJILgygizlut1uMrBjEEqBP4SM\nv74AqnCHYqdhItMwkYOZHMxkmyzkmizkYiXXbMVttuEyW3Gb/0psWOy4/0puYHFgWAPAFoDJFoDJ\nGojZHoQttCERzboT07wHESGRSlyIiPiJ2+32XmxXZI5T9eOPPzJ27FgAtm7d6rNSW6o3JReqUGl/\nGBXsNwyj1DGnOoeISG3mzM3m2LEDJMVtJePYHrIT9mOkHsaafgxLbgY2d14iwOHJIcDIJcBwEYSb\nIJObSBNEVkYQdew6OMBkEGAygCI+4fEU3VxW2YaJfYaD49Zw0oMa4ApvjrV+W0JiutCgRW+aNGqF\nw2Y/9QOIiEiJLrvsMsaMGVNk3+zZs5k2bRoAn3/+ebGrE+z2U3+fLpjc0EqCmkXJhSoQHBxMUlIS\nWVlZJY4r2B8SElLpc5QmMTGx2L7k5GRlCUXEr9weNydSEzgev4vU+J1kndiLKzkWU2oc9swThGQn\nEeHOoBHZNDd7aF6WSU3UyESAx4BMzLgx4cDz14V97eQwGbQ2OWntcUL6UUjfDIeBDXn98R4r8aZg\nEh1RZIdEQ1RrAhp1JLJ5D2KadKFBeD2tehARqQCz2UxAQECRfQVrwdlstmLHSd2k5EIVqF+/PocO\nHSq1BkJ+XQWAevXqVfocpYmMrJTP60REysUwDFIy04hPjCMpfifpx3aRk3gAI/kQ1oxjBGQlEOZK\npb4ni0ZmF41KupCuhmWJ3QZkYiHLZMVpspJtspNjseOyBOCyBuC2BuKxBWHYg8EejNkRijkgFGtA\nONagcOxBkdiCInAERxEYUo+g0Ho4AsIJMf/9Yg2PB1duFtlZqWRnpZLrTCfXmUZudgaunAzc2em4\nsjNw52TiycnEk5uJkZOFJ9cJLie4siA3G5M7G5MrG7M7B7M7B4snB4snF6vHhc3IxepxYzNc2HDj\nMNzY8eDwc2KjsdlFY1IgJwUS90HiMtgNLIV0j5nthoMT1jDSghrhCm+GrX5bQpp0pUHznjRr2Jxg\nR8m3G4qIiMipUXKhCnTo0IH169dz8OBB3G43FoulyHH79+/3Pu7YsWOlzyEicrpl5Tg5mnKCY8dj\nSY3fQWbCXtxJsZAahyPrOMHZyUS60mlkzqW9yYW5uA+YTUDRb3uVymVAFlYyTVayTTZyzDZyLA5c\nlgDc1gDctiCM/ESAIwSzIxRLQBjWwDBsgeHYgqKwB0UQEFKPwJC8ZIDFHkyoyURoFcZtMpuxOYKx\nOYIJiYiuwiMVweMBdzau7AxynOnkOFO9iY1cZxqu7Axc2Rl4crNwZ2fgyc3Ek5uFkZOFkZv1V3LD\nCa6/ExsWdzaB2cnUy00mgtxTDi3E7KETWWBkQcZRyNgIR4CNeUmfwx4bm0xBJDvq4QyNgahWease\nmvWgaUwHGkfUx2I+DSeeiEgt53a7+fDDD/n888/ZtGkTKSkpREZG0rNnTyZOnMiECRMKrTJLSEig\nSZMmPrdCdOnSpdC4k+sw7N69mx9++IH58+ezf/9+jhw5AkBMTAxDhgzhlltuoXPnzlX4aiWfkgtV\noE+fPnz22Wc4nU42bNhA7969ixy3YsUKn+dU9hwiIpXF7XFzPDWRuKRjJB7bS/rx3eQk7MeTchhr\n+lECnImE56ZS33ASbc6lpbmEeySr4P88OYaJBHMQabZQsgLq4QpphCk8BltoI6yB4dgCw7EHR2EP\njiQwOIrAkPrYgyKwWh1VngiodcxmMAditQViDalPUCVPb2QlkxS7kcTY9WTGb8VI2EdA2hHCsxOo\n707Heop3PFhM0NySS3NSIDcFEvdC4pK8VQ9AgsfCJo/9r1oPDckNb4atQTtCY7rQqFl3mjdoSniQ\nzhQRkdLExcVx0UUXsXbtWp/2tLQ0Dh48yLfffsurr77K119/7VNg3jCMQoUkc3IKb71cMPlw9OhR\n2rVrV2QcCQkJbNq0iTfeeIMZM2Zw8803V+RlSRkouVAFxowZw7333gvkbcNSXGJg7ty5ALRv377Q\nqoPKmENEpKyycpzsP36YA4e3k3JgLTkJezGlxWPPPE5IdjKR7nSizbl0MruKv9+/ij7wTcdKsiWE\nDEcEOUH18YRFY41oRmD9NoQ3bk9EdEfsIQ2JNpk4zZ/hSxUwBUYQ1X4oUe2HFu5055J9Yi8JB9eS\ndngTOcd3Y00+SHDmUernphCE65SPW8/spp45C8iCzHjI3AhxwMa83TEOum2sy1/1EBIDUS0JbNyJ\nqKbdaRbdmiZRjbFZ9GeViNRtTqeTc889l02bNmE2m7njjju45ppraNq0Kfv37+fll1/mrbfeYvHi\nxYwePZo//vjDu0K7fv36ZGVl8eOPPzJu3DgAtmzZUqgOnMPh8D42DIOOHTsyfvx4Ro4cSZMmTWjc\nuDHHjh1jzZo1PProo2zbto1//vOfdO3alaFDi/h/i1Qa/V+wCrRr146zzjqL+fPn89prr3HLLbfQ\ntGlTnzGzZ89m8+bNANxyyy1VMoeISEEut4tDifHsid/P0YMbyTyyCfOJXYSkHybalUwbczbnWYq4\nODNTZbUNkk0BpNrCyAqIwhXSCHN4E+z1WhDSsB0R0R1xRLUgxBFK+crVSq1lseFo1IGYRh3gjIm+\nfYaBkX6c1CNbSIpdR1b8dkjchyPtMBHZCUR5Si6QXJIAk0F7aw7tyQFXMiTvgeTFsDevP85tZY3H\nznFrGOlBjXBHNMfWoC0hMV2JjulI8wZNqRcSoUKTIlLrvfjii2zatAmAGTNm+FyjdO/enTfffJMG\nDRrw5JNPsmTJEt59912uu+4675iAgACfopF2u73EopGNGzdm27ZthdrDw8Np164dY8eOZciQIaxa\ntYrHH3+cX375pTJephRDyYVT0KdPH3bs2EFERASHDh0qcsyzzz7LgAEDSElJYdSoUbz55psMHjwY\np9PJRx99xB133AFA165dufHGG6tsDhGpWwzD4GjKCfYcPciBuD2kxK7Dc2w7juQD1M8+QWuzk4GW\nbIIKrj4wAbZipzwlLkwkW0JIt4eTE9wAIzQaa2RzAuu1Ijy6A0H1W2MKiyHCaieicg8tdZXJhCm0\nIeEdGhLeYUTh/pxMXAl7SIzdQNrhzbiO78KSEktIxlGiXCnYK7B/ZrTFRbTFBWRCVjxkbfCuekjz\nmDngsbHaCCQ5oB7OyDaEd7uYvj3PoVk9rbUROR0a3zjA3yFUufjXV5Q+6DR48803AejRo0exH35O\nnz6dWbNmcfjwYV5//XWf5EJlczgcPPDAA4wdO5YFCxaQlZVFYKAK+1aVOpdcmDVrVrEn+qxZs/j0\n00+934eEhBAfH19oXEZGBhkZGVitxf/z9ejRg08++YQrrriCnTt3Mnz4cCwWC2632zumbdu2fP/9\n98XuA1sZc4hI7ZSckcreYwfZE3+Qo4e34IzbjDVxL+EZcbQgg7aWHAaac30LJlbS24TTZCXFFkZW\nQD3cwQ0xRTTBEdWS4IZtCW3UDktEM6xB9alvNlO/cg4pUnH2IKzR3WgY3Y2GJ/d53JAaR2b8NpIO\nbSArblveqof0I0Q4Ewg1souasUxCzR66mrPpSja4k+HEHljwC9t/dTDb2piM5gOJ6TmWgV3OJDI4\nvCKvUETEr2JjY9m3bx8Al1xySbHj7HY748aNY+bMmaxfv57U1FTCwsKqLK78Yo4ul4tt27YVe7u5\nVFydSy7k5uaSkZFRZJ/L5cLlOvX7NU82duxY1q9fzzPPPMMPP/xAfHw8drudtm3bMmHCBO666y6C\ng4OrfA4RqZkyc5zsPxbLnqOx7I/fS+rhTXB8J0GpsTRxp9DWks05lhzCCxZPrGACwY2JRHsUmSHR\nGGExWCObEVi/NaGN2mOPagFh0QQ4wgjQ8m6pTcwWiGhKUERTgjqeXbg/KxlPwl5SDm0k7chmco/v\nxppykODMY0S60rBQ/u05O1qz6cgBOHiA7AOf8ecXQewMagVtR9C+9z84o21PAmyO0icSEakm9u7d\n633ctWvXEsfm93s8Hg4cOEC3bt1O+biGYfDNN9/wxRdfsH79euLi4sjMzPQWfjSMv9+jExMTT/k4\nUro6l1y46qqruPzyy8s0trh7I9euXYvH4ynTvZPt2rXjrbfeAvKSFxaLpdz3XFbGHCJSPeW6XcSe\nOMKeY7HsPXqQuCPbyY3fhj15P/Wdx2lryaazNYfzzTl/V8m3UeHbGLLMDlKCY3BFtcIR3ZXwFn2w\nN+6CJbIlDaxaCSXiIzACc9PeRDbtTeTJfa4cSD5I9rGdJB/aiDN+O0ZS3g4XEdkJBBilf2jhMBkM\nsWUwJHczbNtMwpZX+cUVyqGoTgR2uoBePc+hW7P22iZTRKq1tLQ07+PQ0JJ31ym4UiE1NfWUj5mc\nnMzo0aNZtGhRmcY7nc5TPpaUrs4lF6xWKyEhFSsNFhR0ahtvlXQbxemcQ0ROL4/HQ3zKCfYePcie\nYwfZH7+P1LhtmBN2E5Z+hFZmJ20t2VxiyaGe+a/bnsxQ0T3+PECqIwpneAssDTsS2qwXATFdoUF7\nAoMbEKgkpUjFWe1Qvy2O+m1p1PkC3z7DgIzjGAl7STuyhbSDazHtW0Sj9IMlrnaoZ3bzD3sypC+H\nVcvZufwxPjaiSIruQ/3uF3Nm1yG0bNBUHzSIlFF1qUdQ2xW8xkpPTy9xbMH+0hIRJbnttttYtGgR\nZrOZa6+9lvHjx9OuXTuioqK8u0rs3buXLl26nPIxpOx0pSoiUkncHjd7jh5k66HdbD+yh8Nxe3Af\n20ZAygGaGxm0tWTT35LD5ZYcHPkFFSuYQADIMdtJC2mCUb8NgTHdCWrSHVODDpjrtSbCpqJFIn5j\nMkFIQ0whDQlrMYCwgdfktWcl49zxKyfWf0nQwWVE5SSVOE3eThXxcGIeOb/NY/XPQfxoaUx2y8G0\n6nkRgzr2o0FYVIlziIhUtZYtW3ofb9u2jdGjRxc7duvWrUDeSvFmzZqd0vEyMzP57LPPALj33nt5\n6qmnihynWyFOHyUXREROQVpWBlsP72LLod1sObiD47EbCTqxnQ6mNLpbnVxpcf5VPR6opOv7dEck\nuZGtsDbqRHDTHpgbdIAG7bGHxVBPn2CK1ByBEQT0vJSmPS/N+z5hL2mbvydt87dEHt1AoKf4ApJ2\nE5xpy+RM9sLBvSTu/5glucHsCm6Nuf0oevQ4h/5texLsUGJRRE6vli1b0rRpUw4dOsSXX37Jfffd\nV+Q4t9vNV199BUC3bt2IjPS94azgVpQFC9mf7PDhw+Tk5AAwdOjQYsfNmzevzK9BKkbJBRGREhiG\nQWxCHFsO7WLLoV1si91J0uGN1E89QHerk25WJ2OsTqLMbqiE2qouk5WssKZQvz2BTbphbdQJGrSH\nem0JcVTsli4RqabqtSZ02G2EDrsN3C6MQ2tI3vg1OTt+oX7y7hJvoYgyu/mHIxVc62HrenZvnMkc\nVyhH6nUlvMv59O86hJ4tOmG16E8+Eal61113HdOnT2fVqlV88MEHTJ06tdCY5557jv3793vHnywq\n6u+VWHFxcXTo0KHIY4WH/73Dzpo1azj//PMLjdm0aRMzZ84s78uQU6T/04iI/CUrx8mOuH1szU8k\nHNxBZtwWWrsT6W7NYqDFyXVWZ97uDBXcMcnpiMAV1RpHdBds+QmE+u2xRjQjVEXbROouixVTi/5E\ntugPFz8FzhTcexaRuOFLrHsXEek8XuLT21pzaGtNgIyFuFYuZPXSQF7xRJLSpB9Nup3PkM4DaNe4\npeo1iEiVuPPOO/noo4/YtWsX1157LbGxsVxzzTU0btyY2NhYXnnlFZ555hkA+vTpw/XXX19oji5d\nuhAQEIDT6eTFF1+kY8eONG7cuNC4hg0b0qdPH9asWcPjjz9OWFgYEydOpEGDBhw9epQ5c+bw0EMP\ncf755zN37twqf+0CJqPg3hwif0lKSvJmDRMTEwstVxKp6Y6lJLDl0C42H9qZVyMhdgfmhN10MWfQ\nzeqkuzWLrlYnwaZTf4v0mCxkhzXF3LAj9sadMTVo/1cSoR0ERlTeixGRuiPpADk7fiFl4zeEHF5F\noDurzE9N8ZhZnBvMOmtj3K2H0aXb2Qzp2JfGEQ2qMGCRqrN3716ys7NxOBy0bt3a3+HUCR999BFT\npkwB4KuvvmLMmDGFxuzdu5fzzz+fnTt3etvMZrN3a0iAXr16MW/ePKKjo4s8zm233eaz4sBms2E2\nm4G8eg35P+/Vq1czYsQInwKRBY91/vnn88ILL9CxY0cAvvvuOy666CKfY/3xxx+MGDECyFvpUNo2\nmtXVqfw+VPY1n1YuiEitlut2sTv+gHc1wtbDu9keu536mfF0tzrpbnVyrdVJZ6uTwPBTTyS4rEF4\nGnfF3rwvRPeAmJ6Y67cl0FLBPSNFRAqKbIF9wHU0GHAdeNxwZB2ZW34ga+uPRCRsw4Kn2KeGmz1c\n5EjjItLgwC727Z3Fz3NC2BnSmsAOZ9Gv61AGtutNaGAl3OMlInVW69at2bBhA6+99hpz5sxh48aN\nZGRkEBoaSs+ePZk4cSLXXnutT22Fkz3//PO0aNGCjz/+mG3btvlsIVkwSdG3b1/Wrl3LY489xs8/\n/8yxY8cICgqiU6dOTJs2jeuvv56DBw9W6euVv2nlghRJKxekJkrJTMtLIBzaxea//rv/yB7akEY3\na9ZfKxKcdLI4sVdgRbDLHooppieWpr0gpifE9ICoNvBXRl1ExC+y02DfEtI2f4dn1++EZxwp81Pd\nBqx1BbLIFcrRel1p2OU8BnceQO9WXbBblSSV6kkrF04/j8fjLaJot9u9qwlK43a7sVhO/bbP3Nxc\nb3FHh8NR7K1dRR3HMAyys7OLjbngaypp7uquOqxcUHJBiqTkglRnHo+HgwlH8m5riN3lXZWQmHiE\nzlYnPaxObzKhgyUbawX+H+EOiMDctDemmF55SYSYHhDZMm+LORGR6iw5Fs+u30jb/D32A0sJdGWU\n+ampHjNLc4NZbkSQ3nQAHbqMYmjnfnSMaVNj//CW2kfJBZG/Kbkg1ZaSC1JdZOU42XZ4d96Wj4d2\nsSV2J1sP78GUk0Y3S95uDd2sTnpYs2hjycFSgb95PcENMTft5b2tgZieEN5EiQQRqfk8HojbgGvH\nr2RsnUfI0Y1YjOK3eDvZQbeNhbnBrLU0wtxmBH26DGFopzNoGlW4yJrI6aLkgsjflFyQakvJBfEH\nwzDYdyyWNfu2sHbfFtbs28zWQ7sIMXLoas3y1kjoZnXSxpJTsWOFN8EU0zMvkdCkZ14iIVR/JItI\nHZGTAfuXkr39Z3K3/0xIatnvSXYbsMEVwB+5IewObkVEx7MY1HkAg9r3ISK4glvpiJSDkgsif6sO\nyQUVdBQRv0nJTGPd/q3eRMK6fVtIzEimjSWHftZMptky6ReeResKJhKIbPnXLQ098/4b3QNTiKqj\ni0gdZg+G9ufgaH8Ojn88B6lHYPcCsrb+iGnvHwTkpBb7VIsJetuc9LY5wThB+pY1LNsQxLO5ocTX\n70brziMZ2qkffdt0I8DmOI0vSkRE/EnJBRE5LVxuFzvi9rFm72bW7t/Cmr2b2RW/HxsGXa1Z9Ldl\nMdmaSb+oTOqby75Ut5B6bf6+pSG/RkKgVt6IiJQoLAZ6Tyaw9+S8WyiObsbY9RuZW3/AcWQNVo+r\n2KeGmD2cY0/nHHs6ZMVx6M/fWbg0hE89ETibDaB/91FMOPNCwgJDTuMLEhGR0023RUiRdFuEVNSx\nlATW7NvsXZWw/sA2MrOzCDG56WPNor8tk/7WTHrZsggylf9tyDCZMTVo//dtDdE9IbobBGhJrohI\npcrJhAPLcO/6jextPxGUtKfMT/UYsMoVyCxXDA0HTOW6UZNoEtWoCoOVukS3RYj8rTrcFqHkghRJ\nyQUpD2duNptjd3oTCWv2buZQYjwAjcy59Ldm0s+WRT9bJl0szvIXXTRboGGnAqsRekLjrnnLekVE\n5PRKi4fdC3Dt+BX37t9wOJPK9LRdLjuvOxvg7j6ea8+eStdm7as4UKntlFwQ+Vt1SC7otggRKRfD\nMDh44ojPqoTNsTvJdbswYdDOksNwayb9QzLpZ8ukhSW3/Aexh0DzftBiYN5X0z5KJIiIVBehjaHX\nRKy9JmI1DDi6BXYvIGf7T1gOrsTiKbpOTjtrDs+FHCZu16u8sekznmk2imnnXc2wTv20vaWISC2g\n5IKIlCgtK4P1B/4uurhm3xYS0vI+pbLjobvVyfX2TPpZMznDlkXUqdRLCG0MLc6EFgPykgmNuoBF\nb08iItWeyZS3kqxxV+yD/wm5TjiwHGP37+Rs/xnHie2FnhJtcfFw8FGST3zKu2//wksRfZh0zjRG\n9z0Lu9XmhxchIiKVQbdFSJF0W0Td5Pa42Rm3n7XeVQlb2BG3l/y3iTCTmzOseSsS+tmy6GXNIuAU\n6iXQsCM0H/h3MiGyRd4fqCIiUrsc3YZ70XOYNn6B2Sg6+ZxpmJjtjOALW3suGnkVVwwZreKPUia6\nLULkb9XhtgglF6RISi7UDSfSkli7bwtr923O2wpy/1bSnZne/hhzLv2smQyw5SUUOlqyMZc3B2Cx\nQUyvvCRCyzPzbncIqle5L0RERKq35FiMJTPxrHoPizu7yCEuA77KDuc9TxP6D5rMdSMnEBPZ8DQH\nKjWJkgsif6sOyQWtOxapIwzDYPfRA6zYtZ4Vu9axeu9mDpw47O03YdDBkk3/gLxbHPrbsmh6KvUS\nHGHQov9fKxMGQtPeYAusxFciIiI1TkQzTBc9g2XE/8GKN3AtexVrdqrPEKsJLg1I4VJS+GXlU9yy\n8B2a9BrLTWdPokvTdn4KXEREykrJBZFayuPxsCNuL8t3rWf5znWs2L2O46mJ3n4HHvpbs+hny9sW\nsq81kwizp/wHCmsCLQf+XXyxYae83R1EREROFlwPRj2AdfBtsGYWrkUvYU2PLzTsHHs659jTWbn9\nVZ5e+zm5bUdx09mTGarijyIi1ZaSCyK1hNvjZuuh3SzftY7lO9excvd6EjNSvP02DPpbMxlqz2Cw\nLYOeVieO8tZLMJmgYee/ayW0GAgRzSr5lYiISK3nCIEzb8Ha7zrYOAf3wuewJOwuNKy/LYv+4bFs\ni5vNy2/8whP1+3D9OVcwuu/Z2FT4V0SkWtG7skgN5XK72HhwR14yYdc6/ty9gdSsdG+/CYNOlmyG\n2jIYas9ggC2D4PImEyz2vG0gW/xVfLF5fwhU/Q0REakkVjv0noyl50TY/gOeP57FfGRtoWGdrNm8\nEnqE2MzjvDZ7Fc9/3Y4pIydxxeAxhAZqq2IRkepAyQWRGiLHlcv6/Vu9yYRVezaRkZ3pM6apOYch\nfyUTBtsyaFDebSEDI6B5gVUJMT3BFlBpr0FERKRIZjN0vghzpwth3xKMRc9j2v1boWHNLLk8GRJP\nguc4b/2wneHz3mT0kEu4buQEolX8UUTEr5RcEKmmnLnZrNm7mRW782omrNm7iaxc3wrbkSYXg2yZ\nDLFlMMSeQWtLTvkOEtHC9xaHBh3y/sATERHxB5MJWg/B1HoIHNkAi1/E2PwVJsO3JlA9s5v7go9z\nqyeBD5ce4OLfP2TgGRdx89mT6NSkrZ+CFxGp25RcEKkmMrKzWL1nozeZsHb/FnJcvrs1BOCh31/J\nhKG2DLpZneXbGjK0MbQeBm2G5/03ommlvgYREZFKE9MDJryH6ayHYOlMPGs+xOz2TaKHmD3cFJTI\nNYGJzNkcz7WrvqJ5h2HcfM5kBnfoq+KPIiKnkZILIn6SlpXBn3s2eAswbjiwDZfH9zYGMwY9rE4G\n2zIYakvnDFsWAeWpm+AIhVaD85IJbUbkrUzQH1oiIlKT1GsN/3gB84j7YPlreFa+hTk7zWeI3QST\nA5KZ6Ejmh9hjPPHyAtzRPbjp7Mlc3GeUij+K1HFLliwBoE2bNkRHR/s5mtrLZBhGOSu8SV2QlJRE\nVFQUAImJiURGqohfRSVnpLJy93qW/ZVM2By7E49x8taPBq3NOQy1ZzDElsEgW0b5toe02KBZv7+S\nCcOhSe+8NhERkdrCmQJ/voux9GVMGceLHbY4J4iZWfXZE9qG60dezuTB/yAkQMUfa5O9e/eSnZ2N\nw+GgdevW/g6nVtq9ezfx8X9vF9u2bVsaN25c6vN27drF0aNHvd+3a9eORo0aVUmMZZG/imnmzJnc\neuutfoujoOzsbA4cOEBqaiqNGzemadOKrSg+ld+Hyr7mUxpXpIqcSEtixV/FF5fvXMe2I3soKpfX\nwORiiD1vZcJgWwZNLa7yHahxt7+SCcOgxZl523uJiIjUVgHhMPRfmAbeBOs+wVj8Iqak/YWGDbFn\nMsR+kA2uY7z87S5emPc2k4eM5bqRE2gc0eD0xy1SAz399NO888473u+nTp3KrFmzSn3eRRddxM6d\nO73fv/XWW1x77bVVEmNNk5iYyP3338+nn35Kamqqt71du3bcdddd3HDDDX6MrmKUXBCpJInpKSzd\nsYYlO1azfNc6dsbtK3JcsMnNmdZMhvy1OqGTNbvIccWKaP73yoTWwyBEfyCJiEgdZAuAftMw9ZkK\nW7+BRS9C3IZCw3pYnbwVdoi97mO8svAQg377hIv6nc+NZ02iU5M2pz9ukRrsiy++4JVXXiEkpPgP\ns5YuXeqTWJC/xcbGMmjQIGJjYwFo2rQpDRs2ZOfOnezatYsbb7yRJUuW8MEHH9TImjFKLoicImdu\nNqv2bGTRtlUs3PYnm2J3FLkywYZB7wLJhN7WLGzlea8IjPy7CGOb4RDVSnUTRERE8lms0G08dB0H\nu3+HRS/AvkWFhrW25PBcaBz3uI/z1vpjXLziW87oPIhbzr6CQR361Mg/5EVOF7vdTr169YiLi+OL\nL77gyiuvLHZs/sqGFi1acODAgdMVYrXn8XgYM2YMsbGxBAcHM2vWLMaPHw9Aeno6d911F2+++SYf\nffQRvXr14s477/RzxOWn5IJIGXk8HjYf2smibatYvH0VK3dvwJlb1KoDg06W7LwdHewZDLRlEFye\nIozWgLxtIduOyEsmNO6u7SFFRERKYzJBu1F5X7GrYPGLsPW7QsMaW1w8FHyM2wJP8P6+E9z40hJi\nmnXJK/7YeyRWFX8UKcRkMjF58mSeffZZ3n///WKTC1lZWXz++edA3i0Ujz322OkMs1qbPXs2a9eu\nBeD555/3JhYAQkJCeP3119m+fTuLFi3iscceY9q0aURERPgp2lOjd0+REhw8cYRF2/5k0fZVLNm+\nmsSMlCLHRZlcDLNnMNKWznB7Og3M7iLHFclkhia98nZzaD0MmvfPW+opIiIip6bZGTDpYzi2A5a8\nhLH+U0we35pG4WYPtwclcENgIp8mHOep9zbx+FfNuWHU5UwadLGKP4qc5KqrruLZZ59l4cKFHDhw\ngBYtWhQa89VXX5GSkkLDhg254IILypVcOHbsGEeOHMEwDJo2bUqDBuW79dflcrF7924yMzNp0aIF\n9erVK9fz8zmdTg4cOEBKSgqRkZG0bt0ai8VySnMV9O677wLQuHFjpk2bVqjfZDJx3333sWjRIpKT\nk/n666+56qqrKnzc00nJBZECkjJSWLJ9DYu3r2LR9lXsP36oyHGmv7aIHGVLZ6Q9nV7WLMzlWU1Z\nv11eAcY2I/K2igzUbhwiIiKVrmEHGPcqppEPwLJXMFa/jyknw2dIgMngqsAkpgQk8U32MV7+cj/P\nzXuHqUPGcu3Iy2gUXt9PwYtUL126dKFv376sXr2aDz74gIceeqjQmPfffx+AyZMnY7WWfqlpGAYf\nfPABzz33HJs2bfLp69atG3fffTdTpkwp8bal7OxsnnjiCV599VUSEhK87WeddRYvvfQSnTt3LtPr\nW7VqFY899hi//vorTqfT2x4REcGkSZOYPn06DRs2LNNcJ0tLS2PRorzbtc4777xi/23OOussAgMD\nycrK4vvvv1dyQaQmceZms3rPJhb+tTph48HtRdZNAN/VCSPs6dQvz+qEkIZ/1Uz4a3VCRMW2mhER\nEZFyiGgKFzyFafjdsOItWPE6ZCb6DLGYYFxAKuMCUvkt5xgzf4vn9fkfM75/XvHHjjHa6lDkqquu\nYvXq1cyaNatQcuHQoUP89ttv3nE5OTklzuVyubjiiiv47LPPALDZbHTq1AmArVu3smnTJq688kp+\n/vlnPvjggyJXDzidTi688EJ+//13AAIDA+nYsSNOp5PffvuNQYMGsXDhwlJf1wsvvMDdd9+Nx+PB\nZDLRtm1boqKiOHLkCIcOHeLVV1/lu+++Y/78+bRv3770f6iTbNmyBZcrb/VU3759ix1ns9no3r07\nK1euZMOGwgVqqzslF6RO8Xg8bDm0i0XbV7Fo258l1E2o4OoEe0jeioT8hELDjirCKCIi4m9B9WDk\nfTD4n7DmA1jyMqTEFho2yp7OKHs6q3IDmbl6NiOWfcfIroO46ezJDGrfW8Ufpc6aOHEid955J3v2\n7GHJkiUMHjzY2/fhhx/i8Xjo2bMn3bt3Z/Xq1SXO9cgjj3gTCxMmTODll1+mfv28lULHjh3jxhtv\n5KuvvuKTTz6hffv2TJ8+vdAcDz74oDexcNNNN/Hf//6X0NBQAHbv3s2UKVNK/fT/s88+8xZPnDhx\nIk8//TTNmzf39v/xxx9MmTKF2NhYxo0bx/r168u0KqOgXbt2eR+3bNmyxLEtWrRg5cqV7Nu3D7fb\nXSm3ZJwuSi5IrXfwxBHvbQ6Lt68mMT252LGRJhfDT3V1QuOu0P4caHc2NO8HFlvFgxcREZHKZw+G\ngTdBv2th41xY/AIc215o2Bm2LD6wxbLD5eCVXSlcvnkpnZt34uazJ3NR7xEq/lhT/DvM3xFUvcdT\nT8thoqKiuPjii/niiy+YNWuWT3Ihf5eIsizlP3bsGP/73/8AGDFiBJ988gnmAgXMGzZsyOeff86Q\nIUNYsWIFTz/9NLfccos3+QBw9OhRZs6cCcD48eN59dVXfY7Rtm1bfvrppxJvi3A6ndx+++0AXH75\n5XzyySeFxgwfPpwffviBXr16sWXLFj799FOuuOKKUl9jQcnJyd7HkZEl3w6d3+92u0lLS6tRRR1V\ngl5qnaSMFL5f+zv3fvJfBjx0Cf3+PY67PnqKb1bPL5RYMGHQ05rFnYHH+T58H1uidvJa6GEuDUgp\nPbHgCIMuo2HMy3Dvdrh1GZzzMLQapMSCiIhITWCxQa+JcOsKuOIzaNavyGEdrNnMCD3Cishd9Du2\nlDvfeZABD13CW799RoYz8zQHLeJf+cmDzz//nKysLACWL1/Ojh07sNlsTJo0qdQ55s6dS3Z23urh\nRx55xCexkM9qtfLoo48CeUmAOXPmFJojNzcXoMhVDQDh4eElbun41VdfcfToUQCefPLJYsd169aN\nc845B4Dvviu8C01pMjL+rvUSEFBy4fbAwMAin1cTKN0qNV52bg6r9mz861aHVWw4uK3Yugmg1Qki\nIiJyErMZOp4PHc6DA8th0fOw85dCw5paXDwecpR/BZ3g3awEnp97iOfmvcOVQ8cybcSlKv4odcJ5\n551Ho0aNOHr0KF9//TUTJ070FnK84IILyrTLw4oVK4C8LRgHDRpU7LgRI0YQEBCA0+lkxYoV3HTT\nTd6+lStXAnm7L3Tr1q3YOfKTAkX5448/AGjQoAFHjx7l6NGjPtcR+Y8NwyAsLG8FzJYtW0p5dYXZ\nbH9fM7jdJV975NdmOPl5NYGSC1LjeDweth7ezcJtf7J4+ypW7lpPVjF1E+Dv2gkj/6qd0Ls8tRMc\nYdB2RF4yof1ZEBZTOS9CREREqh+TCVqemfcVtwkWv4ix6QtMhsdnWD2zm3uCj3NL0Ak+dEbyxi9v\n89r8Txjf7zxuOnsS7aNb+ekFiFQ9q9XK5MmTef7555k1axZjx47l888/B8p2SwRAXFwcAK1atSpy\n1ULBY7Vo0YIdO3Z4n5PvyJEj3jlK0rp18cVYDxw4AMDx48cZOHBgmWJPSkoq07iCQkJCvI9LW42Q\nmfn3aqiCz6sJlFyQGiE5I5U/tq5k/uZlLNi6goS0kn+ptTpBREREKiS6G1z2Dqaz/g1LZ8Kaj8Dl\n9BkSZDK4ITCRaQGJfJEdzisr5zJ02Xec3S2v+OPAdr1U/LE6OE31COqSq666iueff55ff/2Vl19+\nmeTkZBo0aMCFF15Ypufnb/Vot9tLHetwOHyeky//torS5sh/flHyL+TDwsJKXP1QUL169co0rqCY\nmL8/oMxPihQnvz88PJygoKByH8uflFyQaskwDLYf2cP8Tcv4bfMyVu3dhNtTfIKg0OoEW1bZC4po\ndYKIiIgUJ6oVXPw8jLgPlr8OK98CZ4rPEJsJLg9I4fKAFH7MDmXmtl8Zt2kpPVt05qazJ3FR7xFY\nzDWn4rtIabp160bv3r1Zu3YtDzzwAACTJk0q8zL+/CKFiYmJJQ8EEhISfJ6TLzw8HCh9JUFJx8gv\nnhgdHc2SJUtKjeVU5W+xCbBz584Sx+b3F3xOTaHkglQbGdlZLN2x2ptQOJx0tMTxkSYXw2wZedtF\nOTKJMuWW/WBanSAiIiLlEdIQzv4PDLkDVr8PS1+GtPhCw853pHG+I41luUHMPJLODW9v4YzW3Xn1\nmkdpVi/6tIctUlWuvPJK1q5d6y2qeOWVV5b5uZ06deL7779n//79JCQkFLsaID4+nsOHDwMU2vWh\nU6dOzJs3j+3bt5OVleVTCLGgtWvXFhtH165d+fbbb9m1axfHjh2jYcOGZX4N5dGmTRuio6OJi4tj\n0aJFxY47fPgwe/fuBfDZiaOm0G4R4lf7jx/i7d8/Y+KMO+h817lMffUePlj8VTGJBYMuFif/CjzO\nj5EH2FJvF6+H5e3sUGpiQTs7iIiISGUICIPBt8Fdm2DMTKjXpshhZ9oymR1+kF8j9mGLXcFZT0xl\n3roFpzlYkaozefJkBg8ezKBBg7jsssvo1atXmZ+bX2TRMAw++OCDYse9++673sdnn322T99ZZ50F\nQE5OTqGdJAoqaf4xY8YAeTXdZsyYUWrcp8pkMjF27FgAFi5cyP79+4scl7+dJ8C4ceOqLJ6qYjJK\nKqsvdVZSUhJRUVFA3lKi0vZjLascVy4rd69n/qal/LZ5ObuPHihxvA2DAbYMzrOncWGgk8Zklf1g\nWp0gIiIiVc3jhq3fwaIX4Mi6oocY8GxmA17Mqs+UoeN5+JLbCLSXvB2dlG7v3r1kZ2fjcDhKLNon\np+7aa6/lnXfeweFwFKp5UJrVq1dzxhlnAPDWW29x7bXXevsMw6Bbt25s2bKF8PBwlixZQteuXX2e\nv27dOoYOHUp6ejrdu3dn/fr1PjVMPB4PnTp1YufOnURHR7N8+XJatGjhM8c333zDpZde6l1dMXPm\nTG699VafMRdddBHz5s3DYrHw8ccfM2HChGJfk9PpxOl0FrpFoyz27t1Lx44dyc3N5bzzzuO7777D\nav37RoKdO3fSt29f0tLSGDZsmHcni/LMX97fh8q+5tNtEVLl4pOP8/uW5czftJSF21aRkV3yftBh\nJjcjbelcEJDBKEcmwUZO2Q6k2gkiIiJyupkt0HVM3grJPX/kJRn2/uE7xAT3Bh+nny2TWxd/zp97\nNvDGtY9rVwmps0wmE7NmzWLw4MGkpKQwcOBAbrvtNoYOHYphGPzxxx/MnDmTzMxMgoKCmDVrVqHi\nqGazmTfffJOzzjqLuLg4+vTpw5133skZZ5yB0+lk3rx5vP3229x333088cQTxcby3nvvMXDgQPbs\n2cPll1/Ou+++y7hx42jdujWGYRAfH09cXByLFy9mwYIFvPPOO1x++eXlfs2tW7fm0Ucf5f777+en\nn35i6NCh3HLLLTRs2JC1a9fyv//9j7S0NMLCwnjllVfKPX91oOSCVDq3x826/Vv5bfMy5m9ayqbY\nkouWADQ153CuPZ1/hOTQl2Qs/LXlU2nrarQ6QURERKoDkynvQ462I+DwWlj0IsbWbzAVWCQ83J7B\nrxF7ueloNuc+eRVPXH4XE8+8WDtKSJ3Up08f5s+fz+TJkzlw4ABPPvkkTz75pM+Yli1bMnv2bHr2\n7FnkHMOGDeOzzz7j6quvJiEhgQcffNCnf/LkyUyfPr3E5EKDBg1YuXIlN9xwA19++SW//PILv/zy\nS5FjAwICKvTp/n333Udubi6PPvooy5cvZ/ny5T79zZo1Y/bs2XTp0uWUj+FPSi5IpUjKSMnbKnLT\nUhZsWUFiRkopzzDobnFyfkAGY0JyaeUu436xtkBoMwI6ng/tz9bqBBEREal+mvSGiR9g2v07zLkW\nMk54u6ItLuaGH+DpzCzu+vAJFm77k/9Nvo+wwJq1n73UDe3atWPQoEElbudYnNDQUAYNGgRA48aN\nixwzaNAgduzYwdy5c/ntt984dOgQJpOJpk2bMmrUKMaPH1/qsceNG8fAgQN5//33WbFiBZmZmbRo\n0YLLLrvMW9shP46CW0IWVK9ePebOncvWrVv59ttvWbduHQkJCdjtdho1akRMTAxDhgxh2LBhxRaO\nLKuHHnqIyy+/nI8++oiNGzeSlpZG48aNGTFiBJdddhmhoaEVmt+fVHNBilTa/TeGYbD18G7v6oTV\nezfjMTwlzmnHw5m2TMaE5HKuI51IV1rZggmuDx3Oh04XQpvhYK9Z+72KiIhIHZYaB59Pg/1LC3XN\nzwnhn2kxhNZrzuvXPEbvVjXz00p/Uc0Fkb+p5oLUKBnOTBZvX81vW/K2ijySdKzU54Sb3JxlT+fy\nSBP9jOM43Nl5Ha5SntigPXS8IC+h0LRv3v2MIiIiIjVNWDRc/R389gQses6n6yx7Or9G7OWG5Bz+\n8b/ruX/MTdx01iTMZm3oJiI1j5ILUqpZC79kxcGNLNu5lhxXKVs+As3NOYwOyWV8mJv22UcwG57S\nkwkmMzTvn5dM6Hg+1G9XOcGLiIiI+JvFCudMh5YDYc51kPX37aBNLS6+Dt/P4xmNeOzLmSzZvpoZ\nVz1Eg7B6fgxYRKT8dFuEFKngEpkGV/XB7Cg+D2XCoIfVyeR6Vs6xp9EoK75sB7EFQduReQmFDufm\n3f4gIiIiUpslH4LProLYPwt1/Zgdyh3pMdhDG/DK1Q8ztFO/0x9fDaLbIkT+ptsipMZy4GFEUC5T\n69sZ4I4jKDsZ3EBWKU8MaZh3u0PH8/PqJ9gqVhBFREREpEaJaArX/gi/PAxLZ/p0ne9Io4t1L9el\n5TBhxu3ces4U7v3H9dgs+pNdRKo/vVNJmUWaXEyoZ+OSMA8dMw9gdWVBZhme2LAjdLwQOl0ATfqA\n7iMUERGRusxig/OfgJZnwhc3gTPZ29Xcksu34ft5JKMRM3+exbKda3ntmkdpXl87ZIlI9abkgpRq\netNAxoZlEp26F5PhhtRSnmAyQ4sz85IJHc+Hem1OS5wiIiIiNUqnC+HmRXm3SRxe6212mAyeDIln\ngC2Tu/Z7OOuJqTx3xQNc3Gek/2IVESmFkgtSqkmZ64k0TCUPsgdDu7PybnnocA4EqQiRiIiISKmi\nWsJ1P8NP/4YVb/h0/cORSlerk+tSm3LdWw8wdftYHrn0dgLtAf6JVUSkBEouyKkLbfzXdpEXQKuh\nYNP/6ERERETKzeqAi/4HLQfBV7dC9t/LRFtbcpgXsY9/pzfmg8VfsnLPBt649nE6xqiAoYhUL0ou\nSPk06vLX7Q4XQEwv1U8QERERqSxdx0B0N/j0Sojb6G0OMBk8GxrHQFsG9xwxOP+pq3nssn8xefBo\nTKZSVpeKiJwmSi5I6VqcCX1H59VPiGrl72hEREREaq96beD6+fDDfbDqXZ+u8QGpdLM6uT6tKXd/\n/DQLt63i2SvuIzwo1E/Bioj8TR87S+mmfApn3qzEgoiIiMjpYAuA0S/Cpe/k1bUqoL01hx8i9jHB\nkcx3a3/jrCemsmbvZv/EKSJSgJILIiIiIiLVUY9L4aaF0KizT3OQyeCl0CO8GHKYEwmHGf3sDcz8\n+QM8Ho+fAvUvwzD8HYKI31WH3wMlF0REREREqqsG7eGG36H3FYW6Lg9I4YeIfbQ0ZfLEV68yceYd\nHEtJ8EOQ/mGxWADIzc2ts4kVEchLLLhcLgDMfqyJp+SCiIiIiEh1Zg+Cca/CuNfAFujT1cmazc8R\nexnrSGHhtj8Z+fgV/LF1pZ8CPb0CA/P+LQzDIDU1tZTRIrVXZmamN8GW/3vhD0ouiIiIiIjUBL0n\nw40L8lYzFBBsMngt9DDPBB8hLS2By2fczmNfvkyu2+WnQE+PiIgI7+O4uDhOnDhBTk6O/wISOc0M\nwyAjI4MjR45428LCwvwWj8moDjdnSLWTlJREVFQUAImJiURGRvo5IhEREREBIDsdvr0DNnxeqGuT\nK4DrUpuy32Ond6suvHbNY7SoH3P6YzxNjh49SmJiok+b1WrFbDZrm06p1fJvhSh4S1BISAhNmzYt\n87lf2dd8Si5IkZRcEBEREanGDANWz4J594Ar26crzWPmzvQYvssJIzQgmGevuJ/Rfc/yU6BVLykp\nifj4eH+HIeJXISEhNGnSpFw1F5RckNNCyQURERGRGiBuI3w6FRL2Fup6JyuSRzIakYOZKwaP5tHL\n/kWQPcAPQVY9l8tFRkYG6enpKvAodYbZbCYwMJCwsDACAgLKvVpHyQU5LZRcEBEREakhnKnw9W2w\n+ctCXetzA7g+rSkHPXbaR7fijWsfo1OTtn4IUkSqm8q+5lNBRxERERGRmiwgDCa8Bxc/Bxa7T1dP\nm5NfIvZyrj2NnXH7OP/pa5i16Ev0+aKIVDYlF0REREREajqTCfpfB9f/ApEtfboizB5mhcXycHA8\nrlwn//fJM1z75gMkZ2j7RhGpPEouiIiIiIjUFk16w82LoNNFhbpuDEzkq/D9xJhzmbduAWc9MZXV\nezf5IUgRqY2UXBARERERqU0CI2DSx3DBU2C2+nSdYctifsReRtnSOJQYz+hnb+SlH9/H7XH7J1YR\nqTWUXBARERERqW1MJjjzFrjuJwhv6tMVZXbzcXgsDwQdBY+Lp755nctn3M7RlBN+ClZEagMlF0RE\nREREaqtm/eCWxdDh3EJdtwUlMDf8AI3MuSzevpqRj0/h9y3L/RCkiNQGdXYrSrfbzc8//8y8efM4\ndOgQDoeDdu3aMWHCBLp3715px9m3bx9z585l3bp1JCcnU69ePXr16sWECRNo0qRJmebYvXs3X331\nFRs3biQhIQGbzUZ0dDT9+vVj/PjxhIeHV1q8+bQVpYiIiEgt4vHA0hnw6yNw0i0QJzwWbk5rwqLc\nEABuOnsy94++EbvV5o9IReQ0qexrvjqZXDhw4ACXX345K1asKLL/pptu4qWXXsJmO/U3VLfbzf33\n388LL7yAy+Uq1B8QEMCTTz7Jv/71r2LnyM7O5p///Cdvv/12sdsFhYWF8cILLzBt2rRTjrUoSi6I\niIiI1EL7l8NnV0FanE+zx4AXsurzXGYDPJjo2aIzb1z7GC0alO3DMBGpeZRcqKDk5GQGDBjAjh07\nsNls3HLLLQwbNoyMjAw++ugjfvrpJwCmTZvGO++8c8rHueaaa3j33XcB6NWrF9dffz3Nmzfn8OHD\nvPvuu97ExrPPPstdd91V5ByTJk1i9uzZALRu3Zobb7yRdu3akZmZyerVq3nzzTfJyMgA4JNPPmHi\nxImnHO/JlFwQERERqaXSj8Pc62D374W6FucEcXNaU44bVkICgnh28v2MOeNsPwQpIlVNyYUKuv32\n25kxYwYmk4nvvvuOCy+80Kf/pptu4vXXXwfg119/5ayzzir3MX755RfOPTfvvraLLrqIL7/80mcV\nhMfj4YorrmD27NnYbDa2bt1K27ZtfebYsmULXbt2BaBv374sWbIEh8PhM2bTpk0MGDCAzMxMWrVq\nxd69e8sda3GUXBARERGpxTweWPgs/P4kGB6frqMeKzelNWFZbjAAE8+8mMcn3EmwI9AfkYpIFans\na746VdAxKSnJmzi49NJLCyUWAJ577jnq1asHwFNPPXVKx3nttdcAsNlsvPnmm4VurzCbzbz66qsE\nBweTm5vLf//730JzFLxl46677iqUWADo1q0bo0ePBvJqOxw7duyU4hURERGROsZshhH3wlXfQEhD\nn65GZhdzwg5we+BxTBjMXvYd5z11FVsP7fJTsCJSE9Sp5ML3339PTk4OAFdffXWRY4KCgpgwYQIA\nCxcu5MSJ8m/Js2TJEgDOOOMMoqOjixwTERHB0KFDAfjqq68K1WUomExo2ND3Db+gRo0aeR/b7fZy\nxyoiIiIidVibYXDLUmg1xKfZYoL7g4/zcdhB6plc7Io/wPlPX8N7f8wtthaYiNRtdSq5sGjRIiBv\n5cCgQYOKHZd/0e92u1m2bFm5juHxeEhISACgWbNmJY7N709ISGDLli0+ff369cNszvvx5CcrTmYY\nBkuXLgWgY8eORERElCtWERERERFCG8HV38Lwe8Fk8ukaac/g14i9nGHNJNuVw/2fPss1b9xHUkaK\nn4IVkeqqTiUXtm3bBkBMTAyhoaHFjuvQoYP38datW8t1DLPZjNVqBcDpdJY4Nisry/v45ORC+/bt\nufnmmwF48sknmT17tk+WOCUlhVtvvZVVq1ZhsVh47rnnyhWniIiIiIiX2QJn/RumfglB9Xy6Yiwu\nvgrfz82BJzBh8MP6hZz1+FT+3L3BT8GKSHVUp5ILhw8fBqBJk5K31CnYf+TIkXIfp1WrVgCsW7eu\nxHHr168vFFtBM2bM4KmnniIsLIxJkybRqFEjBg4cSI8ePYiJieHVV1+la9eu/PTTT1xwwQXljjMp\nKanYr+Tk5HLPJyIiIiI1XLtRcOtSaDHQp9lqgv8EH2NWWCwRJjeHk44y9vmbeeGHd3F73H4KVkSq\nkzqVXEhPTwfy6iqUpGB//nPK4/zzzwfg4MGDfP3110WOWbBgAZs2bSrxOCaTiUsvvZTJkydjsVg4\nfvw4K1asYOPGjWRmZtKgQQOuv/56+vfvX+4YAaKioor9at269SnNKSIiIiI1XFgMTPsehtxRqOsc\nezrzI/bSy5qJ2+Pmv9++yWUv3UZ88vHTH6eIVCt1KrmQm5sL4L1toTgFd3fILwBZHnfccYc3QXH1\n1Vfz448/+vQvXLiQiRMnFhlbQd9++y3du3fnxRdfpF27djz33HN8//33fPnll9xzzz3k5ORw2223\n0b9/fw4cOFDuOEVEREREimSxwbmPwhWfQWCET1dTSy7fhO/n2oAEwGDpjjWMfHwK8zeVr1aZiNQu\ndSq5EByct1dveWohhISElPs4LVu25KOPPsLhcJCcnMwFF1xAq1atGDZsGO3atWP48OEcPXqU6667\nzvuc8PBwnzk2btzI+PHjyczM5LzzzmP9+vXceeedXHjhhYwdO5ZnnnmGtWvX0qhRI7Zt28aFF15Y\naMeJ0iQmJhb7tXfv3nK/bhERERGpZTqeDzcvgaZ9fZrtJng85Chvhx4izOQmMT2ZK165k+lzXyLH\nVfhDMxGp/epUciF/N4WkpKQSxxXsP/miv6zGjh3LsmXLOO+887BYLOzfv59Fixaxe/duOnTowBdf\nfMFll13mHV9wS0mA559/HpfLhclk4o033vDZmjJf69ateeSRR4C8gpDz5s0rV4yRkZHFfmnnCRER\nEREBILI5XPsTnHlzoa6LHGn8ErGXbpa8D+femD+bi565jn3HYk93lCLiZ3UqudC2bVsgrxZCSQr2\nt2vX7pSP17t3b3788UcSExNZtWoVixYtYs+ePWzfvp1x48b5FHzs06ePz3NXrFjhjbl58+bFHuOs\ns84q9BwRERERkUpltcMFT8OkjyHA98O3lpZcvo/Yz1UBiYDBxoPbOeuJK/li5U/+iVVE/KJOJRe6\nd+8OQGpqKrt27Sp23KpVqwo9pyLCwsLo27cvQ4YM8SmUOH/+fAAaNmxIly5dfJ6Tf2tGSVtmntyf\nmZlZ4VhFRERERIrV+WK4eRHE9PJpdpgMng6J5/XQwwSb3GRkZ3LLew9z+6zHyHDqb1SRuqBOJRcu\nvPBC7+Pvv/++2HH5txc0atSIvn37FjuuInbt2uVNLkybNg2z2fdHkX+bxL59+/B4PMXOs3v37kLP\nERERERGpMlGt4PpfoP91hbrGOFL5OXwfnSx5Nc4+Wz6Pc5+6ms2xO093lCJymtWp5EL//v3p1KkT\nADNmzCjyk/6VK1fyxx9/ADB16tRCF/2VIScnh+uvvx6Px0NUVBR33HFHoTFDhw4F8uo/fPbZZ8XO\n9corr3gfDxs2rNJjFREREREpxOqAi5+DCe+Bw3elbVtrDj9E7GOSIwkw2H30ABf89xreWTAHwzD8\nE6+IVLk6lVwwmUw888wzAOzfv58JEyaQmJjo7V+3bh2XXXYZhmEQFRXF//3f/xU5z7Rp0zjrrLMY\nM2ZMscd67rnnmD9/fqFVB5s2beKcc87hjz/+wGw288YbbxS54uDWW2/1FnG84YYb+Oyzz3zejNPT\n07nnnnv45JNPgLzEyaBBg8r2DyEiIiIiUhm6jYeb/oDGXX2aA00Gz4fGMTPkCEF4yHHl8uBnz3H1\n6/9HYnqKf2IVkSplMupg+nD69Ok8+uijAAQFBdG9e3cyMjLYvHkzhmEQGBjITz/95F09cLKOHTuy\nY8cOwsPDSU5OLnLM4MGDWbp0KcHBwbRs2ZKoqCgOHTrEvn37ALDb7bz55ptceeWVxcb5+eefM2XK\nFHJycoC82gzt27cnJyeHTZs2eesytGjRgoULF9KiRYtT/ScpJCkpiaioKCBvy8rIyMhKm1tERERE\napncLJj3f7D6/UJdO1wOrktryk533gdn7Rq34Ju73yQq5NR2ZRORylHZ13x1auVCvkceeYS5c+fS\ntWtXMjMzWbFiBZs2bcJsNnP++eezdu3aYhMLZXXvvfdy3nnnkZ2dzZYtW1i8eDH79u0jODiYCRMm\nsGnTphITCwCXXXYZf/75J+PGjSMgIIBjx46xZMkS/vzzT7KysmjYsCF3330369evr9TEgoiIiIhI\nudgCYcwMuORNsAX5dHWwZvNTxF4udSQDsCv+AFNfvZusHKcfAhWRqlInVy4UFBsbS2xsLA6Hg9at\nW5cpW7N8+XIyMjKw2Wyl1jnIysriwIEDHD9+nHr16tG6dWsCAgLKHWdubi47duwgMTERq9VKdHQ0\nrVq1Kvc8ZaWVCyIiIiJySo5th0+n5v33JB87I3gwvTFOzJzXYyjv3PAUFrPFD0GKSGVf89X55IIU\nTckFERERETllORnw3V2w7pNCXatyA7kspQVZmLly6DienngPJpPJD0GK1G26LUJERERERKo3ezCM\nfx3GvgpW31W7Z9iyeDX0MGYMZi36khk/zfJTkCJSmZRcEBERERGRqtHnCrjxd6jf1qf5fEcajwXH\nAwZPffM6ny773j/xiUilUXJBRERERESqTuOucOOCQttVXhOYxA0BedvC3/XRU/y2eZk/ohORSqLk\ngoiIiIiIVK2AcJgyB8JifJofCTnKxfZU3B431731IOsPbPNTgCJSUUouiIiIiIhI1QtvAlPngiPU\np3lm6GHOsGaSmZ3FFS/fyf7jh/wUoIhUhJILIiIiIiJyejTuChM/BLPV2xRgMpgVFktrczYn0pKY\nOOMOjqcm+jFIETkVSi6IiIiIiMjp03YkjJnp0xRldvNJ+EHqm1zsO36IKa/cTUZ2lp8CFJFToeSC\niIiIiIicXr0nw8j7fZpaWnL5IOwggXhYf2Ar17/1IC63y08Bikh5KbkgIiIiIiKn34j7oNdkn6be\nNievhh7GjMFvm5dx7yf/xTAMPwUoIuWh5IKIiIiIiJx+JhOMmQFtRvg0n+9I47HgeMDgk6Xf8ez3\nb/snPhEpFyUXRERERETEPyy2vAKPjbv6NF8TmMQNAXlFHZ+b9w4fLv7aD8GJSHkouSAiIiIiIv4T\nEAZT5kBYjE/zIyFHudieCsD/ffIMv2xc7I/oRKSMlFwQERERERH/Cm8CU+eCI9SneWboYc6wZuIx\nPNzw1r9Zs3eznwIUkdIouSAiIiIiIv7XuGveLRJmq7cpwGQwKyyW1uZssnKzmfLKXew5etCPQYpI\ncZRcEBERERGR6qHtSBgz06cpyuzmk/CD1De5SMxI4fIZt3MsJcFPAYpIcZRcEBERERGR6qP3ZBh5\nv09TS0suH4QdJBAPsQlxTH75X6Q7M/wUoIgURckFERERERGpXkbcB72v8GnqbXPyauhhzBhsit3J\ntW8+QI4r108BisjJlFwQEREREZHqxWSC0S9BmxE+zec70ngsOB4w+GPrSu788EkMw/BPjCLiQ8kF\nERERERGpfiy2vAKPjbv6NF8TmMSNgYkAzF35I09+/Zo/ohORkyi5ICIiIiIi1VNAWN4WlWFNfJof\nDj7KxfZUAGb+/AHvLJjjj+hEpAAlF0REREREpPoKi8lLMDjCfJpnhh6mnzUTgH9//jzz1i3wR3Qi\n8hclF0REREREpHpr3CXvFgmz1dsUYDJ4PyyWNpZsDMPg5nems3L3ev/FKFLHKbkgIiIiIiLVX9sR\nMGamT1OU2c0nYQepb3KR7crhylfvZceRfX4KUKRuU3JBRERERERqht6TYeQDPk0tLLl8GHaQIDwk\nZ6YyaeYdxCUd81OAInWXkgsiIiIiIlJzjPg/6H2FT1Mvm5NXQw9hxuBw0lEmvfwvUrPS/RSgSN2k\n5IKIiIiIiNQcJhOMfgnajPBpPs+RzuPB8YDBtsN7uPr1/yM7N8c/MYrUQUouiIiIiIhIzWKx5RV4\nbNzVp3laYBI3BiYCsHTHGm6f9Rgej8cfEYrUOUouiIiIiIhIzRMQlrdFZVgTn+aHg49ysT0VgK9X\n/8ojX84s6tkiUsmUXBARERERkZopLCYvweAI82meGXqYftZMAN6YP5vX53/ij+hE6hQlF0RERERE\npOZq3CXvFgmz1dsUYDJ4PyyWNpZsAB6eO4OvV/3qrwhF6gQlF0REREREpGZrOwLG+N7+EGV280nY\nQeqbXADcNutRluxY44/oROoEJRdERERERKTm6z0ZRj7g09TCksuHYQcJwkOOK5erX7uXbYd3+ylA\nkdpNyQUREREREakdRvwf9L7Cp6mXzcmroYcwY5DmzGDijH9xKDHeTwGK1F5KLoiIiIiISO1gMsHo\nl6DNCJ/m8xzpPB4cDxjEpxxn4ow7SMpI8U+MIrWUkgsiIiIiIlJ7WGx5BR4bd/VpnhaYxI2BiQDs\nit/PVa/dizM32x8RitRKSi6IiIiIiEjtEhCWt0VlWBOf5oeDj3KxPRWAlbs3cMu7D+P2uP0RoUit\no+SCiIiIiIjUPmExeQkGR5hP88zQw/SzZgIwb90CHvr8BQzD8EeEIrWKkgsiIiIiIlI7Ne6Sd4uE\n2eptCjAZvB8WSxtL3i0R7/4xl5d/+dBfEYrUGkouiIiIiIhI7dV2BIyZ6dMUZXbzSdhB6ptcADzx\n1avMWfGjP6ITqTWUXBARERERkdqt92QY+YBPUwtLLh+GHSQIDwD/+uBxFm5d6Y/oRGoFJRdERERE\nRKT2G/F/0PsKn6ZeNievhh7CjIHL42baG/ez6eAOPwUoUrMpuSAiIiIiIrWfyQSjX4I2I3yaz3Ok\n83hwPGCQkZ3JpJf/xYETR/wTo0gNpuSCiIiIiIjUDRZbXoHHxl19mqcFJnFjYCIAx1MTmTTzDhLS\nk/0QoEjNpeSCiIiIiIjUHQFheVtUhjXxaX44+CgX21MB2HP0IFNfuZvMHKc/IhSpkZRcEBERERGR\nuiUsJi/B4AjzaZ4Zeph+1kwA1uzbzE1vP4TL7fJHhCI1jpILIiIiIiJS9zTukneLhNnqbQowGbwf\nFksbSzYAP29czP2fPothGP6KUqTGUHJBRERERETqprYjYMxMn6Yos5tPwg5S35S3YuHDxV/zwg/v\n+SM6kRpFyQUREREREam7ek+GkQ/4NLWw5PJh2EGC8ADwzHdv8snS7/wRnUiNoeSCiIiIiIjUbSP+\nD3pf4dPUy+bk1dBDmMm7JeKej59m/qZl/ohOpEZQckFEREREROo2kwlGvwRtRvg0n+dI5/HgeMDA\n7XFz3VsPsG7/Vv/EKFLNKbkgIiIiIiJiseUVeGzc1ad5WmASNwUmAJCV4+SKV+5i37FYf0QoUq0p\nuSAiIiIiIgIQEJa3RWVYE5/m6cHH+Ic9BYCEtCQun3EHx1MT/BGhSLWl5IKIiIiIiEi+sJi8BIMj\nzKd5ZugR+lszADhw4jBXvHI3Gc5Mf0QoUi0puSAiIiIiIlJQ4y4w6SMwW71NDpPB+2GxtLFkA7Dh\nwDaue+tBct0uf0UpUq0ouSAiIiIiInKyNsNh7Ms+TZFmD5+EHaS+KS+h8PuW5dz90VMYhuGHAEWq\nFyUXREREREREitJrEox60KephSWXD8MOEoQHgM+Wz+OZ7970R3Qi1YqSCyIiIiIiIsUZfi/0nuLT\n1Mvm5LXQQ5jJW7Hwwg/vMWvRl/6ITqTaUHJBRERERESkOCYTjH4R2o70aT7Xkc4TwfHwV4Lh/tnP\n8tP6Rac/PpFqQskFERERERGRklhscPkH0LibT/PVgUncFJi3JaXH8HDjOw+xeu8mf0Qo4ndKLoiI\niIiIiJQmIAymzoGwJj7N04OP8Q97CgDO3GymvHIXu+L3+yFAEf9SckFERERERKQswmJg6lxwhPk0\nzww9Qn9rBgBJGalMnHEHR1NO+CNCEb9RckFERERERKSsGneBSR+B2eptcpgM3g+LpY0lG4BDifFM\nfvlO0rIy/BWlyGmn5IKIiIiIiEh5tBkOY1/2aYo0e/gk7CD1TS4ANsfu5Jo37iPHleuHAEVOPyUX\nREREREREyqvXJBj1oE9TC0suH4YdJAgPAIu2r+JfHzyOx+PxR4Qip5WSCyIiIiIiIqdi+L3Qe4pP\nUy+bk9dCD2H+a4vKL/78mSe+ftUf0YmcVkouiIiIiIiInAqTCUa/CG1H+jSf60jnieB4+CvB8Mov\nH/H275+d/vhETiMlF0RERERERE6VxQaXfwCNu/k0Xx2YxE2BCd7vH5rzIt+t+f10Rydy2ii5ICIi\nIiIiUhEBYTB1DoQ18WmeHnyMf9hTADAMg1vfe5jlu9b5I0KRKqfkgoiIiIiISEWFxcDUueAI82me\nGXqE/ta8LSmzXTlc9dq9bD+y1x8RilQpJRdEREREREQqQ+MuMOkjMFu9TQ6TwfthsbSxZAOQkpnG\npJl3cCTpmL+iFKkSSi6IiIiIiIhUljbDYezLPk2RZg+fhB2kvskFwJGkY0ya+S9SMtP8EKBI1VBy\nQUREREREpDL1mgSjHvRpamHJ5cOwgwThAWD7kT1c9dq9ZOfm+CNCkUqn5IKIiIiIiEhlG34v9J7i\n09TL5uS10EOY/9qicvmudfzz/UfweDz+iFCkUllLH1J7xcXF8dNPP3Ho0CEcDgft2rXjvPPOIzAw\nsNKOkZOTw9KlS1m3bh3JycnUq1ePXr16MXjwYMzm8uV20tLS+PXXX9m3bx/p6ek0a9aMbt26ccYZ\nZ1RavCIiIiIiUglMJhj9IqQeht1/b0F5riOdJzzx3J/RGDDx7ZrfaBRen0cvvQOTyeS3cEUqqk4m\nFzIzM7n77rt54403CmUJw8PDef7555k2bVqFj/P5559z1113cejQoUJ9rVu35u2332bEiBGlzpOa\nmsq///1v3nzzTbKzswv1t2rVildeeYXzzz+/wjGLiIiIiEglsdjg8g/g7fMhfpO3+erAJA56bLyW\nVR+At37/jJjIhtx09mR/RSpSYXUuueByuRg7diy//PILAIMHD2bYsGFkZGTw5ZdfcvDgQa655hpS\nUlL417/+dcrHefHFF73Pj4iIYPz48TRv3pzDhw/z5ZdfsnfvXs455xy++eYbLrjggmLniYuLY8SI\nEezYsQOAPn36MHToUCIjI0lMTGTlypWsWLGCDRs2KLkgIiIiIlLdBITB1Dnw+qi8VQx/mR58jMNu\nG9/mhAPwyBczaRzRgLFnnOOvSEUqxGQYhuHvIE6nZ599lnvuuQeAJ598kvvvv9/bl5mZyejRo5k/\nfz5ms5mNGzfSpUuXch9j48aN9O7dG7fbTbdu3fj1119p1KiRtz8pKYnzzz+flStXEhERwZ49e4iK\niio0T25uLmeccQYbNmwgLCyM2bNnF5mIOHDgACkpKXTv3r3csRYnKSnJG1NiYiKRkZGVNreIiIiI\nSJ0TvwXeOheyU71NOYaJS1Oas9IVDIDNYuWTf77AkI667VmqXmVf89Wpgo5Op5OnnnoKyFuxUDCx\nABAUFMQHH3xAQEAAHo+HRx999JSO88ILL+B2uwH4+OOPfRILAJGRkcyePRuLxUJycjLPPvtskfP8\n97//ZcOGDQDMmTOn2BUOLVq0qNTEgoiIiIiIVLLGXWDSR2D+e/G43WQwK+wQbSx5tz7nul1c9+aD\nHE9N9FeUIqesTiUXfv31VxIT835Rb7755iLHREdHM3bsWAC+++47MjMzy32c3377DYAePXrQrVu3\nIse0atWKQYMGATB79uxC/Tk5OcyYMQOAiy66iHPO0fIoEREREZEarc1wGPuyT1OE2c0nYQepb3IB\nkJyZylPfvOaH4EQqpk4lF+bPn+99PGrUqGLHnXXWWQBkZWWxbNmych3DMAyOHDkCQLt27Uocm9+/\nf/9+du7c6dP3448/cvz4cQCuvPLKcsUgIiIiIiLVVK9JMOpBn6YWllw+DDtIEHnF5mcv+561+7b4\nIzqRU1ankgtbtuT9gjZs2JCGDRsWO65r166FnnMqSitnUbD/5OMUTGoMHToUgFWrVvHiiy8yffp0\nXnrpJZYvX649cUVEREREaprh90LvKT5NvWxOXgs9hBkDwzB44NPn9Le+1Ch1areIAwcOANCsWbMS\nxxXs379/f7mOYTKZiI6O5tChQ94dHopTsH/fvn0+fZs25W1VU69ePdLT0xk/fjxLliwpNEfnzp15\n4403GDx4cLnihLwCHsVJTk4u93wiIiIiIlIGJhOMfjFv94jdv3ubz3Wk85gnngczoll/YCufLp/H\npEEX+y9OkXKoUysXUlPzKrOGhoaWOC4kJMT7OC0trdzHGT58OACbN29mzZo1RY7ZuXMny5cvL/Y4\nCQkJANjtdkaMGMGSJUvo2rUr99xzD9OnT+cf//gHZrOZrVu3MnLkSG+dh/KIiooq9qt169blnk9E\nRERERMrIYoPLP4DGvjXarglMYpAtA4Anvn6VlMzyX4+I+EOdSi44nU4g74K9JA6Ho9BzyuP222/H\nZDIBMHnyZO+KiXzx8fFMmDDBZ5lTVlaWz5iMjLw3lLi4OA4ePMi9997Lxo0beeaZZ3j44Yf55ptv\nWLBgAUFBQeTm5jJlypRTilVERERERPwkIAymzoGwJj7NTwTHY8UgIS2J/333lp+CEymfOpVcCAwM\nBCA7O7vEcQX7859THn379vVuY7ljxw46d+7MpZdeyl133cXEiRNp374969ev965wAAgLC/OZIyAg\nwPu4d+/ePP30096ERb6hQ4fy0EMPAXlJiDlz5pQrzsTExGK/9u7dW665RERERETkFITFwOXv+zR1\ntGZzVUDeLnfvLfyCbYd3+yEwkfKpU8mF/Av4/NsjilOwv7RbKIrz73//m/fff5/o6GgyMzOZO3cu\nzz//PJ9++ilOp5P777/fmxiAvNoKRcUKMGnSpEKJhXxXXHGF9/GiRYvKFWNkZGSxXxEREeWaS0RE\nRERETlHz/tBzok/TvUHHqW9y4fa4eeDT50otFi/ib3UqudCyZUsAYmNjSxx36NAh7+NWrVqd8vGu\nvPJKDhw4wMKFC3nttdd4/vnn+eyzz4iPj+fJJ59k+/bt3rE9evTweW7Bmgdt27Yt9hhNmzb13sZx\n+PDhU45VRERERET86NxHwfH3B5thZg8PBh8DYPmudXyzer6/IhMpkzq1W0TXrl359ddfOXHiBHFx\ncURHRxc5bsOGDT7PqQibzcbQoUO920kWlL/SICgoiF69evn0dev2d2GXsm5paTbXqVyRiIiIiEjt\nEdoIRt4PPz7gbZoYkMwHzgjWuYJ4eO4Mzu42iOCAID8GKVK8OnU1es4553gf//rrr8WOy+8LCQlh\n4MCBVRJLYmIi3377LQATJ070KSIJcO6553ofF1zhcLJ9+/aRk5MDQPPmzasgUhEREREROS0G3AAN\nOvg0PRUcjwmD+JTjvPjj+/6JS6QM6lRyYeTIkTRs2BCAl19+ucgVAQcOHPBe9I8dO9ansGJluvvu\nu8nKysJut3PnnXcW6u/YsSN9+vQB4KOPPsLtdhc5z/vvv+99XDB5IiIiIiIiNYzFBhc+49PU0+Zk\noiMZgNfnf8Keowf9EJhI6epUcsFut/Of//wHgFWrVvHAAw/49KekpDBp0iRycnKw2WzesSd7/vnn\nue+++3jkkUeKPdb333/P8ePHC7VnZmZy22238d577wHwn//8h86dOxc5x1NPPQXAli1b+Oc//4nL\n5fLpnzdvHv/9738B6NKlC//4xz+KjUdERERERGqAtiOgy2ifpgeDjxFucpPrdvHvz59XcUeplkxG\nHTszPR4Pl1xyCV999RWQV9tg2LBhZGRk8O2335KQkADAW2+9xbXXXlvkHB07dmTHjh2Eh4eTnJxc\n5JjBgwfz559/MmDAAFq3bk1UVBSHDh1i/vz5JCUlAXDbbbfx0ksvlRjvv//9b5544gkgryDlOeec\nQ1BQEGvXrvXWbKhXrx6LFy+mU6dO5f73KE5SUhJRUVFA3i0ckZGRlTa3iIiIiIiUIOkgzDgDcrO8\nTW9nRfHvjMYAzLrpGc7tUbimm0h5VPY1X51LLgDk5OQwffp0XnzxRZxOp09fdHQ0M2fOZPz48cU+\nvyzJhWeeeYYXXniB+Pj4Qn1t27blqaee4pJLLilTvO+88w733XcfJ06cKNR3wQUX8Morr3h3wqgs\nSi6IiIiIiPjR70/D7096v3UbcFZya7a5A2heP4ZF02cTYHOUMIFIyZRcqEQpKSn8/vvvxMbG4nA4\naN++PUOHDsVisZT4vLfeeouEhAQCAgK44447ih3ndrtZtWoVu3fv5vjx49SrV4/u3bvTs2fPcsfq\ncrlYtGgRu3btIjMzk0aNGjF48OAqK+Ko5IKIiIiIiB/lZsGM/pC039u0PDeIsSktABP3Xnw9d144\nzW/hSc1Xo5MLcXFxrF69mmPHjnH8+HGcTicNGjSgQYMGtGvXjh49emg7xWpCyQURERERET/bNg8+\nnujTdGNqE77OCSfQ5mDRw5/SrF60n4KTmq6yr/mslRFUSZYvX84HH3zA77//zs6dO0scGx4ezpAh\nQxg9ejSTJk0iKEh7uIqIiIiISB3V8QJoNwp2/eZtmh58lF9yQsnMzebhuTN454an/BigyN+qZJlA\nbm4ub731Fj179uTMM8/k9ddfLzWxAHm3KXz//fdcd911xMTEcNttt7Fv376qCFFERERERKR6M5ng\ngmfytqj8S7TFxR1BebvSzVu3gEXb/vRXdCI+Kv22iG+++YZ77rmHXbt2edvatm3LwIEDGTBgAF27\ndiUqKop69erhcDhISEggMTGRgwcPsmLFClasWMGaNWvIzs4GwOFwcNttt/Hggw8SHh5emaFKCXRb\nhIiIiIhINfHzf2Dxi95vcwwYntSGvR4H7Rq34Ld/f4Tdaiv++SJFqNY1F6ZMmcJHH30EQJMmTZg8\neTJTpkyha9eu5ZonJSWFOXPm8OGHH7J48WIMw6BBgwasXLmSVq1aVVa4UgIlF0REREREqonsNHix\nL6TFeZt+ywlhcmozwMT08f/kprMn+y8+qZEq+5qvUm+L2LZtG23btmXWrFkcOHCA//73v+VOLEBe\n7YVrr72WhQsXsmnTJi655BJOnDhBQkJCZYYrIiIiIiJS/TlC4bzHfJpG2dM5254OwHPz3uFoSuFt\n60VOp0pdufDbb78xbNgwrNbKrxO5ceNGGjZsSOPGjSt9bilMKxdERERERKoRw4C3z4cDy7xN+902\nhiW1IRszl/Q/n5evnu7HAKWmqdYrF0aNGlUliQWA7t27K7EgIiIiIiJ1k8kEF/0PTH9fwrW05HJT\nYN7q7rkrf+TP3Rv8FZ1I1ewWISIiIiIiIpUsuhv0u8an6bagEzQx5wLwwGfP4fa4/RGZSOUnF5xO\nZ2VPKSIiIiIiIgCjHoSgKO+3QSaDh4PjAdgcu5OPlnzjr8ikjqv05MKwYcPo06cPd955J9988w2J\niYmVfQgREREREZG6KSgKzn7Yp+liRxqDbXnFHZ/+5nUS01P8EJjUdZWeXHC73axdu5YXXniBMWPG\nUL9+fXr27Mntt9/Ol19+yYkTqmIqIiIiIiJyyvpMgZhePk1PBB/FikFSRipPf/u6nwKTuqzSkwuj\nRo0iJibG+71hGGzYsIEZM2Ywfvx4GjZsSNeuXbn11luZM2cOR48erewQREREREREai+zBS7+n09T\nB2s20wLyVo1/uPhrNh7c7o/IpA6r1K0oC9q9ezeLFi1i4cKFLFq0iP379xc7tmPHjgwbNozhw4cz\nbNgwoqOjqyIkKQdtRSkiIiIiUs19cROs+9j7barHzJlJbTlhWOnbuhvf3v0GZrNq+EvRKvuar8qS\nCyeLjY1l4cKF3mTDzp07ix3brl07hg0bxrBhwxg3bhxBQUGnI0QpQMkFEREREZFqLv0YvNAbslO9\nTZ86w7kjvQkAM676D5cNuMBf0Uk1V2OTCyc7evSoN9GwcOFCtmzZQlGhrFq1ir59+/ohwrpNyQUR\nERERkRpg6cvw4wM+TRcmt2SNK4gGYVEse2QOoYHBfgpOqrPKvubz2xqZRo0acdlll/Hyyy+zadMm\nTpw4wVdffcWFF17or5BERERERERqlgE3QMOOPk1PBsdjxuB4aiLPznvbT4FJXWP158ENw2Dbtm0+\nt0vExcX5MyQREREREZGaw2KDC/8H713sbephczLRkczH2ZG88/vnTDrzH3SIaeXHIKUuOK3JBY/H\nw6ZNm7zJhMWLF3P8+HGfMWazma5duzJkyBCGDBlC586dT2eIIiIiIiIiNUubYdB1LGz+ytv0QPAx\n5uWEkeyBf3/+HJ/fPhOTyeTHIKW2q9LkgtvtZu3atd66CosXLyY5OdlnjN1up2/fvt5kwqBBg4iI\niKjKsERERERERGqX8x6HHT9BbhYA9cxu7g06xgMZ0Szevprv1y7g4j4j/Ryk1GaVnlxYs2YNv/76\nKwsXLmTp0qWkpaX59IeEhDBw4ECGDBnC0KFD6d+/PwEBAZUdhoiIiIiISN0R0QyG3gW/Pe5tujIg\niY+ckWx1B/Dw3JcY1e1Mguy69pKqUem7RfTt25c1a9Z4v2/QoAGDBw/2rkzo1asXFoulMg8pVUC7\nRYiIiIiI1DC5TpjRD5L2e5uW5wYxNqUFYOJfF1zN//3jBr+FJ9VLZV/zVdltESaTidGjR3P99dcz\naNAgwsLCqupQIiIiIiIiYguAC/8LH03wNg20ZTLWkcpX2eG8+svHTBh4IS0bNPVjkFJbVfpWlPn1\nEgzD4Ouvv+aCCy4gKiqKPn368K9//YuvvvqKEydOVPZhRUREREREpMN50P5sn6bpQUcJNrnJduXw\nnzkv+icuqfUq/bYIgF27dvlsL3nw4EHfg5pMdOrUiaFDh3q/mjRpUtlhSAXotggRERERkRrqxG6Y\nOQDcOd6mlzPr8XhmIwA+uuV5zup2pr+ik2qisq/5qiS5cLL9+/f7JBv27NlTaEzr1q19kg1t2rSp\n6rCkBEouiIiIiIjUYL88DIue936bY8CI5DbscTto1aApf/znExw2u//iE7+rkcmFkx0+fNibaFi4\ncCHbt28vNCYmJoahQ4fy3HPPERMTc7pDrPOUXBARERERqcGy0+GlvpB6xNv0e04wk1KbAyYeHHMz\n/zxvqv/iE7+rFcmFkx07dswn2bBp0yZv36pVq+jbt68fo6ublFwQEREREanhNs6Fz6f5NF2Z2oyf\nc0IJtAew9JHPiYls6KfgxN8q+5qv0gs6nork5GRSUlK8/xUREREREZEK6jYeWg72aXo0OJ4APGTl\nOHnkixl+CkxqoyrbirI4hmGwZcsW7yqFRYsWER8fX+RYq9WK3a77gERERERERMrNZIKLnoFXBoPh\nAaCFJZebAxN4PqsB36yez9QhYxnUoY+fA5XaoMqTC263mw0bNngTCYsXLyYhIaHIsTabjb59+zJs\n2DCGDRvG4MGDCQkJqeoQRUREREREaqfGXaH/dbDiDW/TP4NO8Hl2OIc8dh787HnmPzgLq+W0f+4s\ntUyln0G5ubmsWbPGm0xYsmQJqampRY612+3069fPm0wYNGgQQUFBlR2SiIiIiIhI3TXqgbz6C5l5\nH/IGmgweDj7KtWnN2H5kD+8v/IJrR07wc5BS01V6cmHo0KGsWLGiyL6AgAD69+/PsGHDGD58OAMG\nDCAwMLCyQxAREREREZF8gZFwziPw9a3eposcaQxxprM4N4RnvnuL0X3PpkFYlB+DlJquSlYu5AsM\nDGTgwIEMHz6cYcOG0b9/fxwOR2UfUkRERERERErS+wpY9S4cXutteiI4npHJbUjNSufJr1/jhakP\n+jFAqemqZOXCuHHjGDZsGGeccYYKMoqIiIiIiPib2QwX/Q/eGOVtam/N4ZqARN5w1mP2su+YMmQ0\nvVt19WOQUpOZDMMw/B2EVD+VveepiIiIiIhUA1/eAms/9H6b5jEzKKkNxwwbPVp04sf/ewez2ezH\nAOV0qexrPp01IiIiIiIidcU5D0NAuPfbULOHfwcfA2DDgW3MXvadnwKTmk7JBRERERERkboipAGM\nvN+n6bKAFPpaMwF44uvXSM4oerc/kZJUanLh3XffJSEhoTKnBMAwDObOncu+ffsqfW4REREREZE6\npf/10KizT9OTIfGYMUhMT+aZ7970U2BSk1VqcuHVV1+lVatWPPTQQyQmJlZ4Po/HwzfffEOvXr24\n9NJLqyRxISIiIiIiUqdYrHDh/3yauludTA5IBuD9hV+y9dAuPwQmNVmlJhfOO+88MjMzefzxx4mO\njmb8+PF8/fXX5OTklGuezZs383//9380b96cMWPGsGHDBnr27EnTpk0rM1wREREREZG6qfUQ6DrO\np+n+oGNEmlx4DA8PfPocqv0v5VHpu0Vs2bKFu+66i59//tnb5nA46NWrFwMGDKBz587Uq1ePqKgo\nHA4HiYmJJCYmcvDgQf78809WrlzJ0aNHvc+NiYnh8ccf58orr1TV0tNIu0WIiIiIiNRyyYfgpb6Q\nm+ltej8rkvsyogF4ddojjOt3rr+ikypW2dd8VbYV5aJFi3jllVf46quvyM3NLffze/bsyQ033MDU\nqVMJCgqqggilJEouiIiIiIjUAX88C/Mf9X7rNuDc5FZsdgfSOLwBSx75lJCAYD8GKFWlxiQX8h09\nepTZs2ezYMEClixZUmwtBqvVSt++fRk2bBhjxoxhwIABVRmWlELJBRER+f/27js8qjLt4/hvJmVC\nEkihhE7oYESqoUhHuiBNioqoWNe191XU14q6trWgKOuKUhVEqtIElN6khN57DSmE9Jz3j2zOMmmk\nTOakfD/Xlct5yjnPPTAC556nAADKgJRE6V/hUuT/Ns9fn1xOt0aHSrLpkV53atyQv1sWHopOiUsu\nXM0wDB0+fFhnz57V+fPnlZSUpEqVKqly5coKDQ2Vnx8ZseKC5AIAAABQRuz9Vfp+uFPVI7HVNSsx\nUF4envp93BQ1qFrHouBQVEp0cgElB8kFAAAAoAz5/jZp7//2zTub5qmbLtXXZcND3a5rp6mPfiSb\nzWZhgHA1Vz/zsUMiAAAAAJR1/cZLHt5mMcSeoqfKXZAk/b5rnX7b9odVkaGEILkAAAAAAGVdxfpS\nx8ecqu4vd1ENPBIlSeN+/EjxSQlWRIYSguQCAAAAAEDq8rRUoYZZ9LJJb/qdkWTo+MXT+mLJFOti\nQ7FHcgEAAAAAIHn7SX3fcqrq6h2nvt6xkqRPf52sYxdOWREZSgCSCwAAAACAdNcPlup2dqr6P7+z\n8lGaEpIT9X+z/mVRYCjuSC4AAAAAANLZbNIt70l2D7OqtkeyHil3UZK0YOsKrdi13qroUIyRXAAA\nAAAA/E/IdVLbB5yq/u57QbXsSZKkl2d8qKSUZCsiQzFGcgEAAAAA4Kz7i5JfJbNYzmboNb+zkqQD\nZ4/qm+UzrYoMxRTJBQAAAACAs3KBUq//c6rq74hVF6/LkqQPFkzSmajzFgSG4sotyYXZs2fryy+/\n1PnzfPgAAAAAoERoeYdUs7VT1Zt+Z+QlQ3GJV/Tmz59bFBiKI7ckF9555x09/PDDOnr0qDuGAwAA\nAAAUlt0u3fLP9E0e/6uhZ5Lu++/mjj+t/1XrD/xlUXAobtySXAgODpYkpaWluWM4AAAAAIAr1Gwt\ntRrtVPV0uQsKsadv6PiP6R8oNS3VishQzLgludC0aVNJ0qlTp9wxHAAAAADAVXq9JvkEmkV/e5pe\n9j0nSYo4sV+TV/1sTVwoVtySXLj77rtls9k0bdo0dwwHAAAAAHAVv0pSj384Vd3mE61wzyuSpHfn\nTtTFy1EWBIbixC3JhRYtWuitt97SzJkz9eGHH7pjSAAAAACAq4TfJ4WEOVW95X9GdhmKuhKj8b98\naVFgKC483THI7t271bNnT0VFRem5557TlClTNGLECDVv3lyBgYHy8PDI8drrrrtOvr6+7ggTAAAA\nAJAdD0/plvelSf3MqmaeCRrtc0nfJQTrhz9/0Z0dB6l5nSYWBgkr2QzDMIp6kDZt2mjz5s0Funbj\nxo1q06aNiyPCtVy6dMnciDMyMlJBQUEWRwQAAADAcjPukXbMMouRaR666VJ9XTI81bru9Zr37ETZ\n7W6ZII9CcvUzH7/rAAAAAIC86fOm5O1nFoPtqXrB97wkafPhnfpx/SKrIoPF3DJzYdu2bYqNjS3Q\ntS1atJC/v7+LI8K1MHMBAAAAQLZWfigtec0sphlS76i62pFaTpXKB2nN6z+qQjme4Yo7Vz/zuSW5\ngJKH5AIAAACAbKUkSp+2ky4eNKs2JpfTwOhQGbLpge4j9frwJ6yLD3nCsggAAAAAgHU8HVL/d52q\nbvSK1zBHtCRp0ooftefUISsig4VILgAAAAAA8qdRL6lJX6eqcX5n5W9LVWpaql6a8YGYJF+2WJJc\nOHTokKZMmaIPP/xQb775pk6fPm1FGAAAAACAgur7Tvoshv+qYk/V0+XSN3dcvXez5m1ZblVksIBb\nkwu7du1Sjx49VL9+fd155516+umnNW7cOJ08edKp39ixY1WpUiXNmzfPneEBAAAAAPKqYj2p42NO\nVfeVi1RDj0RJ0ms/faK4xHgrIoMF3JZcWLt2rcLDw7V8eXr2ym6353j+afv27XXx4kUtXLjQXeEB\nAAAAAPKr89NSQE2z6GWT3vQ7I8nQqUvn9Omv31kXG9zKLcmF+Ph43XbbbYqLi9N1112nhQsXKj4+\nXi1btsy2f58+fSRJS5YscUd4AAAAAICC8PaV+r7tVNXFO079vGMlSV8smaLD545bERnczC3JhalT\np+rkyZOqU6eO/vzzT/Xt21fe3t459q9Zs6YcDocOHjyouLg4d4QIAAAAACiIsFulel2cql73O6ty\nSlNSSrJe+fFja+KCW7klubBs2TJJ0pNPPul0dqbNZsvxmpCQEEnKsh8DAAAAAKAYsdmk/u9Jdg+z\nqqZHsv7ue0GStGTHai3Zsdqq6OAmnu4Y5MSJE5Kk1q1b5/mawMBAHTt2TFeuXCmqsCRJu3fv1okT\nJ+RwONSgQQNVr17d5WPExMRo586dioqKUsWKFdW0aVNVqFChwPc7efKkNm7caJZ79eolX19fV4QK\nAAAAAPkX0lRq95C05nOz6pFyFzUjIVDH0rw1buZH6tSkjXy8HLncBCWZW2YuZMxQyHzOaW4zFy5c\nSM9yBQQEFElMkydPVv369XXdddepV69e6tKli2rWrKkuXbror7/+cskYu3bt0q233qqKFSvqpptu\nUv/+/dWuXTtVqVJFo0aN0qlTp/J9T8MwNHLkSA0ePNj8OXfunEviBQAAAIAC6/6C5F/FLPrYDP2f\n31lJ0pHzJ/TV0mlWRQY3cEtyoUaNGpKkiIiIPPU/fPiwTp06JYfDoWrVqrk8nmeeeUZjxozRoUOH\nFBgYqB49eqhdu3ay2+1atWqVwsPDC72Z5JIlSxQeHq65c+cqJSVFYWFh6tu3r2644QYlJiZq+vTp\nat68ufbu3Zuv+3766af6888/CxUbAAAAALicT4DU6/+cqvo6YtXN67Ik6eNF/9HJyLNWRAY3cEty\noUuX9M09vvnmG6WlpZn1Oc1ceOeddyRJHTp0kI+Pj0tjmTVrlj744ANJ0m233aYTJ05o6dKlWrt2\nrSIiItSgQQMlJyfrtttuK/CMgNOnT2v48OGKi4tTxYoVtWLFCu3cuVMLFy7Utm3btH79elWvXl0X\nLlzQgAEDlJSUlKf7Hj58WP/4xz/k6emp3r17Fyg2AAAAACgyLUZJtW50qnrD74y8ZCg+KUH/N+tf\nFgWGouaW5MLIkSMVFBSkzZs36+9//7uSk5Oz7Zeamqq33npLX3/9tSTpkUcecWkcaWlpeuGFFyRJ\nDRs21OTJk+Xn52e2N27cWDNnzpTNZlN0dLTefvvtnG6Vq48++khRUVGSpO+++85MrmQIDw/X9OnT\nJUn79+/XxIkTr3lPwzB03333KS4uTk8++aRatGhRoNgAAAAAoMjY7dIt/0zf5PG/Gngm6YFyFyVJ\nczcv0597NlkVHYqQW5ILAQEB+uSTTyRJEyZMUOPGjfX888/r7Nn0KTHz5s3T888/ryZNmujll1+W\nJA0YMEBDhgxxaRxr1qzRgQMHJEmPPfZYtrMiWrZsqZtvvlmSNGXKFKWmpuZ7nPnz50uS6tatq/79\n+2fbp1OnTmrevLkk6d///vc17zlx4kQtX75cdevW1WuvvZbvmAAAAADALWq0lFqPcap6stwFVbWn\nf8n80swPlZyaYkVkKEJuSS5I0ujRo/X555/Ly8tLhw8f1nvvvaejR49Kkl5//XW999575oN/nz59\nNGXKlFw3fCyIRYsWma/79euXY7+MtgsXLmjDhg35HufgwYOSZCYPcpLRvnXr1lw3dzx+/LieffZZ\nSdIXX3zByRAAAAAAireer0rlAs2ivz1N43zTv1zee+qQvl3xk0WBoai4LbkgSX/729+0bds23Xvv\nvapSpYpTm91uV9u2bTV58mQtWLBA5cuXd/n427dvl5Q+k6JevXo59rv6yMwdO3bka4y0tDRz2Ye3\nt3eufR2O/x3DkhFbdh544AHFxsZq1KhR6tOnT77iAQAAAAC386so9XjZqWqoT4zaesZJkt6f97XO\nx1y0IjIUEbcmFySpadOmmjRpks6ePauTJ09q+/bt2rt3r6Kjo7Vu3TqNHj1adnvRhJUxM6JOnTq5\n9qtdu3aWa/LKbrcrODhYknTs2LFc+17dvn///mz7fPvtt/r1118VFBSkjz76KF+xAAAAAIBlbrxX\nqnq9U9Xb/mfkIUOxCXF68+cvLAoMRcHtyYWrVa9eXc2aNVOjRo3k7+9f5ONFR0dLkgIDA3Ptd3V7\nxjX50b59e0nSpk2bdOLEiWz7REZG6o8//sh1nNOnT+upp56SJL3//vsKCQnJdyy5uXTpUo4/GRtS\nAgAAAECBeHimb+54lTDPRN3lc0mSNGPtAm0+tNOKyFAE3JJcOHz4sAzDcMdQubpy5Yok5+UI2SlX\nrpz5Oi4uLt/jjB07VpKUkpKi++67T4mJiU7tqampevDBB814chrnoYceUlRUlDp37qx7770333Fc\nS3BwcI4/uS0bAQAAAIA8Ce0g3XCbU9VzvucUbEvf0PHF6f9Ualr+N9FH8eOW5MJtt92mypUra9iw\nYfriiy+0Z88edwybRcYeCCkpue9MevVRmddKRGRn0KBBGjZsmCTpt99+U8uWLfXBBx/oxx9/1Cef\nfKI2bdrop59+Ut26dc1rrk5oSNLUqVM1d+5cORwOTZw40eWbWwIAAACAW/R5U/L+30z1IHuaXvA9\nJ0nafmyPpq2eZ1VkcCFPdw108eJFzZo1S7NmzZIkVatWTd26dVP37t3VvXt3pwftolK+fHmdP3/+\nmrMRrm4v6HKNKVOmqGLFivr666+1e/duPfPMM07t3bt315NPPqkBAwZIkoKCgsy2c+fO6bHHHpMk\nvfjii2rcuHGBYriWyMjIHNuioqKYvQAAAACg8CpUk7o9J/32ill1p0+UpiQGaVtKOb09Z4L6t+qm\nIL8AC4NEYbklufDZZ59p4cKFWr58uTZs2KDk5GSdPn1aU6dO1dSpUyVJoaGhZqKhe/fuqlatmsvj\nqF69ug4dOqSTJ0/m2u/qfRJq1KhRoLG8vb315Zdf6qmnntKcOXO0a9cuxcfHq0aNGurXr5969Oih\nH374wezftGlT8/VPP/2kixcvyt/fX02bNtWcOXOy3P/qDSAXL16sKlWqyOFwqG/fvnmO8eqEBgAA\nAAAUmfZ/kzZPli6kb5hvt0lv+Z3RgOhQRcZF6725X+udUc9c4yYozmyGmzdDiIuL0x9//KHly5dr\n+fLl2rp1q9LS0rL0a9y4sbp3767XXnsty7GVBfXQQw/pq6++ks1mU1RUlCpUqJBtv2nTpun222+X\nJM2bN0+33HKLS8bPKR673a7IyEgFBKRn6j777DM9+uij+b5fxYoVdeHCBZfEdunSJfPUi8jISBIR\nAAAAAApn/1LpuyFOVY/FVtfMxEDZbXYt/sd/dH2tRhYFV/a4+pnPbcsiMvj5+alPnz7q06ePpPTp\n9ytWrDCTDREREZKkvXv3au/evbr33ntdllzo3LmzvvrqKxmGoVWrVuWYNFixYoUkydPTUx06dHDJ\n2JklJSWZS0T69etnJhYkqV69err11ltzvX7Xrl3m7IWePXvK19c3x2QJAAAAAFiu4c1S0/7S7gVm\n1Ti/s1qUVF6xhvTSjA805+kv2W+uhHJ7ciGzwMBA3XrrrQoNDVVoaKimT5+ujRs3FslY/fv3l4+P\njxISEjRp0qRskwuXL1/WzJkzJaXvi5CRyXG1jz76yJxl8MQTTzi19evXT/369cv1+hdeeEHvvvuu\nJGnixIkKDQ0tijABAAAAwHX6vp0+gyEl/US9yvZUPe17Xq/FVdX6A9s0e8NvGtq2j8VBoiDcclpE\ndvbu3asJEyaYJ0m0bNlSTz/9tJlYqFq1qkaOHFngPQ+yExAQYC43mDNnjn788UendsMw9Pe//11R\nUVGSpJdffjnb+yxbtkxz5szRggULsm2X0o/fzMnUqVPNe48ePVo9evTIz9sAAAAAgJIpuK7U6Qmn\nqvt8ItXYI0GS9Prsz3Q5IfcN+FE8uW3mwrFjx8ylD8uXL8+yqWJQUJC6dOlibugYFhZWJHGMGzdO\nv/76q3bs2KFRo0Zp8eLF6tq1q+Li4vTDDz/ojz/+kCT9/e9/V6dOnbK9xyOPPKK9e/cqICDATERk\nNnr0aF28eFEDBgxQvXr1FBwcrBMnTmju3LlauXKlJKlLly6aMGFCkbxPAAAAACiWOj0pbZkqRR+X\nJHnapDf9zui2mDo6G31BHy74t14Zmv896GAttyQXbrnllizf8vv7+6tjx45mMqFly5ay24t+IkX5\n8uX166+/6s4779Tvv/+ub775Rt98843Zbrfb9dRTT2n8+PGFGqd+/fpavXq19uzZk6XN09NTjz/+\nuN544w2VK1euUOMAAAAAQIni7Sv1e1uaNtqs6uR9Rbd4x2p+UgVNXDZdo24aoIZVQ62LEfnmluTC\nmTNnzNcDBw7UM888o3bt2snLy8sdw2dRvXp1LVu2TKtWrdLChQt1/PhxORwONWrUSLfddpsaNGiQ\n6/U333yzmjRpIj8/vxz7fPfdd3rllVc0b948HThwQOfPn1fFihV1ww03aNCgQapatWqh3kNYWJi5\n6aOvr2+h7gUAAAAAbnXdQKl+N+ng72bVa35ntDzJX1fSpJdnfKjpj33C5o4liFuOomzTpo02b95s\nlgMDA9W1a1d1795dPXr00HXXXVfUISCfOIoSAAAAQJE6t1f6rL2UlmJWfXilkt67kn5a4L8fHK9+\nLbtaE1sZ4OpnPrckF/bv368lS5Zo+fLlWrFihS5evOjUXrVqVXXr1k09evRQ9+7dVbdu3aIOCddA\ncgEAAABAkVv0D2n1Z2YxwbCpy6X6OprmrZrBVfXHa9NVztvHwgBLrxKZXLiaYRjatm2bubHjH3/8\noZiYGKc+oaGhZqJh0KBBTPu3AMkFAAAAAEUuIUb6uJV0+ZxZ9Vuiv8bE1pYkPd1/rJ4dcL9V0ZVq\nJT65kFlqaqo2btxoJhvWrFmj+Ph4s33jxo1q06aNhRGWTSQXAAAAALjF1qnSrIecqm6PrqXlyeXl\n4+XQylenqU6l6hYFV3q5+pmv6I9nuAYPDw81a9ZMrVq1UqtWrVS/fn2rQwIAAAAAuEvzkVLttk5V\nb/iflbfSlJCcqNd+/MSiwJAfbjktIrOkpCStXbvWnK2wfv16JScnZ+kXGhqqgIAACyIEAAAAALiF\n3S7d8r40oYv034n19T2S9EC5SH0WX0mLtq3U7xHr1C2sncWBIjduSS6kpqZqy5YtWrZsmZYvX67V\nq1frypUrWfpVr15d3bp1U/fu3dW9e3eFhoa6IzwAAAAAgJWqt5Da3CNt/LdZ9aTvef2UGKAzaV56\neeaH+n3cFHl7elkXI3LlluRCly5dtHr16iz1lSpVUpcuXcxkQpMmTdwRDgAAAACguOk5Ttr5sxR/\nSZLkZzP0iu9Z/e1yTR08e0wTl03X33uPtjhI5MQtyYWEhARJUoUKFdS5c2d1795d3bp1U/PmzWWz\n2dwRAgAAAACgOPOtKN08Tpr3lFk1xCdG3yfEaW2Knz5a+K2GhvdWtaAqFgaJnLjltIipU6eqfv36\natOmjTw8PIp6OLgAp0UAAAAAcLu01PS9F05vN6t2pTjUM6qeUmXTkBt76Yuxr1sYYOlRIk+LuP32\n29W2bVsSCwAAAACAnNk9pFv+6VR1nWeixvikL5WYvXGx1u7fakVkuAbLj6IEAAAAAMBUp53UfIRT\n1XO+51TRliJJemn6B0pJTbEiMuTCsuTCsWPHtHjxYs2cOVPz5s3T5s2bsz2OEgAAAABQxvR5Q/L2\nN4uB9jS96HdOkrTr5AFN/mOORYEhJ25NLqSmpuqzzz5Tw4YNVadOHfXu3VsjRozQwIED1aZNGwUG\nBur+++/XsWPH3BkWAAAAAKA4KV9V6v6CU9Xtjii18IyXJL079ytdiL1kRWTIgduSC5cvX1b37t31\n6KOP6sCBA9n2uXLlir755hs1b95cy5cvd1doAAAAAIDipt1DUqWGZtFuk972Oy2bDEVfidX4X760\nMDhk5rbkwujRo7Vq1SpJUr169TRu3DjNmTNHf/zxh5YsWaIJEyaof//+stlsioqK0uDBg3X48GF3\nhQcAAAAAKE48vaX+7zlVtfJK0AhHtCRpyuq5+uvobisiQzbcchTl6tWr1bFjR0nSU089pfHjx8vL\nyyvbvqtWrdLgwYMVGRmpu+66S999911Rh4dscBQlAAAAgGJh6h3Srnlm8Xyah2661EAxhoda1Q3T\n/Ge/lt3OWQX5VSKPopw1a5YkqV+/fvrggw9yTCxIUufOnfXtt99Kkn755RelpLALKAAAAACUWX3f\nljx9zGJle6qe8T0vSdpyOEI/b1xsVWS4iluSCxEREZKksWPH5qn/gAEDVLlyZUVHR+vkyZNFGRoA\nAAAAoDgLqiN1ftKp6l6fSDXxSJAkTf7jZyuiQiZuSS7ExMRIkqpWrZqn/jabzewbHR1dZHEBAAAA\nAEqATk9IgXXMoqdNesvvjCRD6w9s0+Fzxy0LDencklzIWLuR1w0aU1JSdPx4+ocjYw0IAAAAAKCM\n8ion9Xvbqeom7ysa6J3+RfbMdQutiApXcUtyoVWrVpKkzz//XGlpadfs/8MPPygqKkohISGqUaNG\nUYcHAAAAACjumt4iNejuVPWq31n5Kk0z1y5UalqqRYFBclNyYdSoUbLb7Vq7dq1uv/12RUVF5dh3\n6tSp+tvf/mZeZ7PZ3BEiAAAAAKA4s9nSj6a0e5pVNTxSdE+5SJ28dFar9262MDi45ShKSfr73/+u\nzz//XJJUoUIFDRw4UK1atVJQUJASExN14MABLVq0yNz8sUaNGtq6dasqV67sjvCQCUdRAgAAACiW\nfn1Z+vNfZnFfirc6R9XX0PA++vze/7MwsJLF1c98bksupKSk6L777tN33313zb7169fXL7/8orCw\nMDdEhuyQXAAAAABQLMVdkN5tJKWlmFV9o+pqty1Q299boArl/C0MruRw9TOfW5ZFSJKnp6f+85//\n6Ndff1X//v3l5+fn1G6z2RQWFqZ3331Xf/31F4kFAAAAAEBWfpWkxr2dqkY4opSQnKi5m5ZaFBTc\nNnMhs5SUFJ04cULR0dHy8fFRtWrVVKFCBStCQTaYuQAAAACg2No1T5p6h1m8lGZX88hGuqFec81/\n7msLAys5XP3M53ntLgV38OBBLVy4UAcOHFBiYqJCQkLUsWNH9ejRQ56engoNDS3K4QEAAAAApVGj\n3pJvsHQlUpIUZE9TL+/Lmn9ohw6cOaoGVetYHGDZUyTJhZSUFD399NP6/PPPlZqa9TiQZs2a6ccf\nf1Tjxo2LYngAAAAAQGnm6S3dcJu07iuzarhPlOYnVdDMdQv1j0EPWxhc2VQkey48+eST+te//pVt\nYkGSduzYoW7duunixYtFMTwAAAAAoLRrebtTsbvXZVWypejHdQuVmpb9syiKjsuTC/v37zePnAwJ\nCdE777yjFStWaP369Zo6daq6desmSTp9+rTGjx/v6uEBAAAAAGVB9RZSlaZm0dMmDXFE63TUea3a\nvdG6uMoolycXZsyYIcMwVLVqVW3evFkvvPCCunTpovDwcI0aNUrLli3TPffcI0maPn26q4cHAAAA\nAJQFNluW2QvDfaIkSdPXzrcgoLLN5cmFLVu2SEpfGlGjRo0s7TabTe+99548PDx04sQJnT9/3tUh\nAAAAAADKghYjJNv/Hmuv90xUmEeCfv1rlaLiYiwMrOxxeXIhI1nQtm3bHPtUqlRJDRo0cOoPAAAA\nAEC+lK8qNejuVDXcJ0qJKUn6ZfNSi4Iqm1yeXEhISJAk+fn55drP399fkhQfH+/qEAAAAAAAZUWm\npRFDHdHylKHpa1ga4U4uTy4YhlGk/QEAAAAAMDXtL/kEmMVK9lR1876srUd2ae+pwxYGVrYUyVGU\nAAAAAAC4hVc56fohTlUjHFGSpJnrFlgQUNnkWVQ3fv/991W5cuUc248dO5anfs8995xq167t8vgA\nAAAAAKVEq9ulTd+axZ7elxVkS9GP6xbpxVsfkqdHkT364r+K7Fd45syZLul39913k1wAAAAAAOSs\nVrhUsb508aAkyWEzNMgRo29jPLVi1wbd3KyDxQGWfiyLAAAAAACUbDab1GKUU9Xw/y6NmL6WjR3d\nweUzF5YtW6bk5GSX3S8wMNBl9wIAAAAAlFItRkrL3jSLLb0S1NAjUYu3/6HIy9EK9g/I5WIUlsuT\nCwEB/IYBAAAAANwsqLZUr4t0aKVZNdwRpbeuODRn0xLd23WYhcGVfiyLAAAAAACUDi2dl0YMc0TL\nLkPT17A0oqiRXAAAAAAAlA7XDZS8/cxiNY8UdfKK0/Zje7T75AELAyv9SC4AAAAAAEoHh78UdqtT\n1f82dlxgQUBlB8kFAAAAAEDp0fJ2p2I/R6zK21I1a/2vSk5NsSio0o/kAgAAAACg9AjtKAXWNovl\nbIYGeMfoQuwl/R6x1sLASjeSCwAAAACA0sNul1qMcKoa7hMlSWzsWIRILgAAAAAASpdMSyPaecWr\njj1Ji7f/qQuxlywKqnQjuQAAAAAAKF0q1pdqt3OqGu4TpZS0VM3ZuNiioEo3kgsAAAAAgNIn0+yF\n2xzRssng1IgiQnIBAAAAAFD6NBssefqYxdoeyWrvdUU7j+/TzuP7LAysdCK5AAAAAAAofXwCpKb9\nnaqGO6IkSTOYveByJBcAAAAAAKVTpqURt3jHyldpmrXhNyWlJFsUVOlEcgEAAAAAUDo16C6Vr2oW\n/e1p6ueIUeTlKC3bucbCwEofkgsAAAAAgNLJ7iG1GOlUNdwRLUmavma+FRGVWiQXAAAAAAClV6al\nER294lTdnqylO9fofMxFi4IqfUguAAAAAABKrypNpBotzaLdJg1zRCk1LVWzNvxmYWClC8kFAAAA\nAEDplmn2wgifaEmGpq9ZIMMwrImplCG5AAAAAAAo3W4YJnl4mcX6Hklq7RmvPacOasfxvRYGVnqQ\nXAAAAAAAlG6+FaXGfZyq2NjRtUguAAAAAABKv5Z3OBVvdUTLoTT9vHGxEpOTLAqq9CC5AAAAAAAo\n/Rr1lPwqmcVAe5p6e8fqUlyMFm//08LASgeSCwAAAACA0s/DS7rhNqeq4T7pSyNmrFtgRUSlCskF\nAAAAAEDZkOnUiK5el1XFlqzfI9bpbPQFi4IqHUguAAAAAADKhmo3SCFhZtHTJg31iVZqWqp+Wv+r\nhYGVfCQXAAAAAABlg82WZfZC+qkRhmasXSDDMKyJqxQguQAAAAAAKDuaD5fsHmaxqWeimnkkaN/p\nw/rr6G4LAyvZSC4AAAAAAMqO8iFSw5udqjI2dpy+Zr4VEZUKJBcAAAAAAGVLpqURQxzR8pKhOZuW\nKCE50aKgSjaSCwAAAACAsqVxX8kn0CxWtKequ/dlRV+J1a/bVlkXVwlGcgEAAAAAULZ4+Ug3DHWq\nGuGIkiTNWLvAgoBKPpILAAAAAICyp+Uop+LN3rEKtqVo5a4NOn3pnEVBlVwkFwAAAAAAZU/NG6VK\nDcyit00a7IhRmpGmn9b/amFgJRPJBUmxsbFKTCzaTTtSUlIUGRmptLS0At/j8uXLio2NdWFUAAAA\nAFBG2WxSyzucqoZftTTCMAwLgiq5ymxyYceOHbr99tsVEBCgChUqyMfHR3Xq1NHzzz+v6Ohol4xx\n+fJlvfPOO2revLm8vb1VsWJFeXt7q1WrVvrkk0+UkpKS47UnT57Ud999p3vuuUdNmjRR+fLlVb58\neVWoUEH+/v7q0aOHpkyZwgceAAAAAAqqxcj0JMN/NfdKUGOPBB04e1SbD++0MLCSx2aUwafTqVOn\n6p577lFSUpIkyd/fX4mJiUpOTpYk1apVS8uXL1eDBg1yu02uDhw4oP79+2vfvn2SJLvdroCAAMXE\nxCg1NVWSFB4ersWLFysgICDL9Xfffbe+++47pzo/Pz/ZbDZdvnzZrOvatat++eUXVahQocCxZufS\npUsKDg6WJEVGRiooKMil9wcAAACAYuHbW6WDv5vFz69U1BtXQjS60yC9f8cLFgZWtFz9zFfmZi5s\n3LjRTCw0a9ZMmzZtUmxsrK5cuaLvv/9e/v7+On78uPr166eEhIQCjXHlyhXdcsst2rdvnzw8PDR+\n/HhFRkYqMjJSUVFR+te//iVvb29t2LBBt912W673at++vf7zn//o9OnT5rKIXbt2aejQ9J1NV6xY\noREjRhQoTgAAAAAo8zJt7DjUES0PGZqzcYnikwr2TFgWlbnkwjPPPKOkpCQFBwdryZIlat26tSTJ\n09NTd955pyZPnixJ2r9/vz799NMCjTFhwgTt3btXkvThhx/q+eefN2cn+Pv769FHH9XEiRMlSUuW\nLNGcOXOy3OP666/X0qVLtWbNGo0ZM0ZVq1Y125o2baoff/xRgwYNkiT9+uuvWrlyZYFiBQAAAIAy\n7boBkre/WazqkaIuXpcVmxCnRX/xnJVXZSq5sGvXLq1atUqS9MgjjygkJCRLn8GDB6tFixaSpK++\n+qpA48ycOVOSVKlSJT388MPZ9rnrrrtUp04dSdLnn3+epf2ZZ55Rjx49chzDZrPppZdeMsuLFy8u\nUKwAAAAAUKZ5+0nXD3KqGu6Tvg/fjLULLAioZCpTyYW5c+earzOWFWQno+3gwYOKiIjI9zg7d6Zv\n/HHjjTfKy8sr2z42m03t27eXlL60ISoqKt/j1KtXz3x95syZfF8PAAAAAJDU8nanYh/vWFWwpWrV\nno06GXnWoqBKljKVXNiyZYskqVy5cmrWrFmO/cLDw7Nck1epqam6cuWKJGW7UePVMtpTUlK0ffv2\nfI0jSUePHjVfs+EiAAAAABRQnQ5SUKhZ9LEZGugdI8Mw9OO6hdbFVYKUqeRCxj4IderUkd2e81uv\nW7dulmvyysPDQ/7+6et1zp8/n2vfc+fOma93796dr3Ek6fvvvzdfd+rUKd/XAwAAAAAk2e3px1Je\nZbhPlKT0pRFl8JDFfCtTyYXIyEhJ6Xsh5Obq9oxr8iNjz4b169c7HRt5taSkJP35558FHmfXrl3m\nXg0NGjRQv3798h3npUuXcvwpyDINAAAAACixMp0aEe4Vr7r2RB0+f0IbDm6zKKiSo0wlF+Li4iRJ\nPj4+ufYrV66c+Tqn5EBuRo0aZV47bty4bPu8/fbbTjMbYmNj83z/2NhYDRs2TElJSbLZbPriiy9y\n3NshN8HBwTn+XL2fAwAAAACUesF105dHXIWNHfOuTCUXbDabJF1zSsvV7bktn8jJ2LFjzdkLH3/8\nse644w6tXr1ax48f1/r163X//ffr//7v/1S+fHnzmrwmB1JSUjRixAhzGcXLL7+snj175jtGAAAA\nAEAmmTZ2vM0RLZsMzd28THGJ8RYFVTKUqeRCxl4I8fG5fygyNmS8+pr8cDgcmj9/vlq3bi1Jmjp1\nqjp27KjatWurXbt2+uabb1S9enV98skn5jWBgYHXvG9aWpruvvtuLVq0SJJ077336vXXX893fBki\nIyNz/Dl06FCB7wsAAAAAJdL1gySv/81kr+mRrA5eV3Q54YoWbl1hWVglQZlKLlSpUkXStY9tvLo9\n45r8qlGjhtavX68ffvhBgwcPVuPGjVW7dm21b99eb7zxhiIiIpxOk7h6E8mcPPLII5oyZYokafjw\n4Zo4cWKBYssQFBSU409ekh0AAAAAUKr4VJCuG+BUNcIRJYmlEdfiaXUA7tS0aVNt2rRJx48fV2Ji\nohwOR7b9Dh486HRNQXl4eOiOO+7QHXfckW37+vXrzddt27bN9V7PPPOMvvzyS0nSgAED9MMPP8jD\nw6PAsQEAAAAAstHydmnbTLPY3xGjFy5X0597N+nYhVOqXam6hcEVX2Vq5kLGA3xycrI2btyYY7/V\nq1ebr8PDw4ssntmzZ0uSbrzxRlWrVi3Hfq+88oo++OADSVKvXr30448/FmgDRwAAAADANdTrIlX4\nXwLBz2boFkeMJOnH9YusiqrYK1PJhUGDBpmbOk6dOjXbPmlpaZoxY4YkqVWrVqpTp06RxPLTTz/p\nwIEDktKXO+Tk3Xff1RtvvCFJ6tq1q+bMmZPjjAsAAAAAQCHZPaQWI52qhl+1NCItLc2CoIq/MpVc\nqFGjhoYPHy5JmjRpkrZv356lz4cffqijR49Kkp566qls73PhwgWdOXNG586dy3Gs1NTUHNt27typ\nhx9+WJLUoUMHjR49Ott+n3/+uV544QWz37x585yOyQQAAAAAFIFMp0Z09L6iWvYkHbtwSusO/GVN\nTMWczbjWuYylzJEjR9SmTRtdvHhRlSpV0vjx49W1a1fFxcXp+++/1wcffCDDMNStWzctW7bMnOlw\ntSZNmmjv3r0KCAhQVFRUtuP07dtXISEhGjhwoOrVq6fg4GCdOHFCc+fO1b/+9S/Fx8erdu3aWrly\npUJDQ7Nc//3332vMmDEyDEONGzfW3LlzVaFChRzfl8PhUFBQUEF/WbK4dOmSgoODJaWfKuHKewMA\nAABAsfdlN+nEZrP4blxlfRRfWSPa99cnY8ZZGJhruPqZr8wlFyRp3bp1Gjp0qE6dOpVte5cuXTRn\nzpwcT0zIS3Kha9euWrlyZY4xdOrUSZMnT842sZCX6zPr0aOHli5dmuf+10JyAQAAAECZtv5rad7T\nZvFQqrc6XKovX4evdry7QH4+vhYGV3iufuYrU6dFZGjXrp127typiRMnauHChTp+/LgcDocaNWqk\nESNGaOTIkbLbc14xUrlyZUVFRTkdJZnZggULNGfOHM2bN08HDhzQ+fPnVbFiRd1www0aNmyY+vfv\nn+2siAzBwcEKCQnJ8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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, figsize=(6, 4))\n",
        "\n",
        "ax.plot(lambdas, flux_wg)\n",
        "ax.plot(lambdas, np.abs(coeffs_f.sel(mode_index=0)) ** 2)\n",
        "ax.set_xlim([lambdas[-1], lambdas[0]])\n",
        "ax.set_xlabel(\"Wavelength (um)\")\n",
        "ax.set_ylabel(\"Power (W)\")\n",
        "ax.set_title(\"Power in mode monitor\")\n",
        "ax.legend([\"Total\", \"Mode 0\"])\n",
        "\n",
        "plt.show()"
      ],
      "id": "ba2563f6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As we already saw, at the central frequency, the source power is\n",
        "extremely well directed in the waveguide mode. Since the source mode is\n",
        "computed at the central frequency only, away from that it is not\n",
        "perfectly matched, leading to a small decrease of the total radiated\n",
        "power. In certain situations, it is even possible to observe injected\n",
        "power larger than one away from the central frequency. That said, we see\n",
        "that all the radiated power is still emitted into the desired waveguide\n",
        "mode, within the wavelength range of interest. For best accuracy when\n",
        "computing scattering parameters away from the central frequency, we can\n",
        "choose one of the following two options. The first option is to do a\n",
        "“normalization” run with a straight waveguide, like the one we just did,\n",
        "and normalize w.r.t. the computed flux to account for the small\n",
        "frequency dependence of the total radiated power. The other one is to\n",
        "use the Tidy3D’s broadband source functionality, which takes into\n",
        "account the frequency dependence of injected fields. Both approaches are\n",
        "illustrated below.\n",
        "\n",
        "### Waveguide junction (using normalization run)\n",
        "\n",
        "We repeat the simulation, but this time introduce a much bigger\n",
        "waveguide in the second half of the domain."
      ],
      "id": "5ce71ed1-7e9f-428f-96a4-ce528fabac94"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Output waveguide\n",
        "wgout_width = 1.4\n",
        "\n",
        "waveguide_out = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=[2, 0, wg_height / 2],\n",
        "        size=[4, wgout_width, wg_height],\n",
        "    ),\n",
        "    medium=mat_wg,\n",
        ")"
      ],
      "id": "18bb75ce"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim_jct = td.Simulation(\n",
        "    size=sim_size,\n",
        "    grid_spec=grid_spec,\n",
        "    structures=[substrate, waveguide, waveguide_out],\n",
        "    sources=[mode_source],\n",
        "    monitors=[freq_mnt, mode_mnt, flux_mnt],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        ")"
      ],
      "id": "33ba53b5"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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SRH7yS+Qnvy/sb+Rj8pM/G/JXVVXJMAwZhqFg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n/sRJEQAAAASFMUCpHNKBQCAAAAyBaFhYUqKiqyvV+KhAAAAEAao1CIbEahEAAAAEC2aNKkiSor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\ndXpem9RkJHWMOUNHGzM0wUiOu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770affdd9fj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          }
        }
      ],
      "source": [
        "fig = plt.figure(figsize=(11, 4))\n",
        "gs = mpl.gridspec.GridSpec(1, 2, figure=fig, width_ratios=[1, 1.4])\n",
        "ax1 = fig.add_subplot(gs[0, 0])\n",
        "ax2 = fig.add_subplot(gs[0, 1])\n",
        "sim_jct.plot(z=0.1, ax=ax1)\n",
        "sim_jct.plot(y=0.1, ax=ax2)\n",
        "plt.show()"
      ],
      "id": "d185e49f"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "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\">05:36:12 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'mode_tutorial'</span> with resource_id                      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a0d046fd-4484-4840-816b-01febdc9a886'</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-a0d046fd-4484-4840-816b-01febdc9a886\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a0d046fd-448</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a0d046fd-4484-4840-816b-01febdc9a886\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4-4840-816b-01febdc9a886'</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\":\"aeb529872edd48a9b1e72b2f6ac2c4e5\",\"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\">05:36:14 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.028</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\">05:36:15 UTC </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": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"da6298841a33436c94209e2764f258cc\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:36:24 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>"
            ]
          }
        },
        {
          "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\">05:36:29 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\":\"62e5b79498964b6cb62ec29901d6b856\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:36:30 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">17</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>"
            ]
          }
        },
        {
          "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\":\"bbb74dc0736440eb839e2da97f2573f7\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:36:33 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\">05:36:35 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-a0d046fd-4484-4840-816b-01febdc9a886\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a0d046fd-448</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a0d046fd-4484-4840-816b-01febdc9a886\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">4-4840-816b-01febdc9a886'</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\":\"d46cf23e9ee644d2ad64b11c3bffc031\",\"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\">05:36:36 UTC </span>Loading results from data/mode_converter.hdf5                      \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim_jct, task_name=\"mode_tutorial\", verbose=True)\n",
        "sim_data_jct = job.run(path=\"data/mode_converter.hdf5\")"
      ],
      "id": "bf10f0a6"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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KNkn332CV3P1772Nfnud78r3/nOd+S0006bzCaLiEhNrgDvfOc7Zf/995cV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\n+qf3YzZr9mPfsK76Z+/fYV1VUZ2DMRX9S3R2WMsk2s21o6CqmeoYtRcJ/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          }
        }
      ],
      "source": [
        "sim_data_jct.plot_field(\"field\", \"Ey\", z=wg_height / 2, f=freq0, val=\"real\")\n",
        "plt.show()"
      ],
      "id": "c658bff1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "This time, the output waveguide is multi-mode, and there is obviously\n",
        "some mode-mixing happening. We can use the mode monitor to exactly\n",
        "quantify this."
      ],
      "id": "b0db30f2-a442-48b4-9d4e-f6c408c959c7"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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+crkcy5Ytw9y5c21uP1R+uKlSqcSTTz6Jf/3rX07zdqS2X4dSqcTatWvx5JNP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          }
        }
      ],
      "source": [
        "# Forward and backward power amplitude coefficients normalized to the straight waveguide flux\n",
        "mode_amps_jct = sim_data_jct[\"mode\"]\n",
        "coeffs_f_jct = mode_amps_jct.amps.sel(direction=\"+\") / np.sqrt(flux_wg.data[:, None])\n",
        "coeffs_b_jct = mode_amps_jct.amps.sel(direction=\"-\") / np.sqrt(flux_wg.data[:, None])\n",
        "\n",
        "fig, ax = plt.subplots(1, figsize=(6, 4))\n",
        "ax.plot(lambdas, np.sum(np.abs(coeffs_f_jct.values) ** 2, axis=1))\n",
        "ax.plot(lambdas, np.abs(coeffs_f_jct.values) ** 2)\n",
        "ax.set_xlabel(\"Wavelength (um)\")\n",
        "ax.set_xlim([lambdas[-1], lambdas[0]])\n",
        "ax.set_ylabel(\"Power in mode (W)\")\n",
        "ax.set_title(\"Mode decomposition (+ propagating)\")\n",
        "ax.legend([\"Mode 0 + 1 + 2\", \"Mode 0\", \"Mode 1\", \"Mode 2\"])\n",
        "plt.show()"
      ],
      "id": "6dbd37c0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Because of the symmetry with respect to the $y=0$ plane, the power in\n",
        "Mode 0 cannot be converted to Mode 1, but a significant amount of power\n",
        "is converted to Mode 3. Note also that the combined power in the\n",
        "computed modes is smaller than 1W. The missing part is most likely lost\n",
        "in scattering at the sharp waveguide interface.\n",
        "\n",
        "### Waveguide junction (using broadband source)\n",
        "\n",
        "To demonstrate the broadband source capabilities more clearly we will\n",
        "re-run both the straight waveguide and waveguide junction cases. To\n",
        "create a broadband source one needs to specify the number of points,\n",
        "`num_freqs`, that will be used for approximating the frequency\n",
        "dependence. Note that these points will be arranged into a Chebyshev\n",
        "grid, thus a very fast convergence of polynomial approximation is\n",
        "expected and only few points are enough to reach converged results.\n",
        "Another important aspect is that these points are placed in the interval\n",
        "`(freq0 - 1.5 * fwidth, freq0 + 1.5 * fwidth)`, where `freq0` and\n",
        "`fwidth` are the source’s parameters, and using broadband sources is not\n",
        "expected to significantly improve results outside of this interval. Use\n",
        "`freq0` and `fwidth` source parameters to adjust the frequency window\n",
        "where the best accuracy is desired."
      ],
      "id": "938ee461-bc64-483c-9b45-24e113bd76e0"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [],
      "source": [
        "broadband_mode_source = mode_source.copy(update={\"num_freqs\": 7})"
      ],
      "id": "7dca9d5e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Duplicate previously defined simulations and update the source lists."
      ],
      "id": "163a7c51-7cdc-4376-94b9-adaa624bf84a"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim_bb = sim.copy(update={\"sources\": [broadband_mode_source]})\n",
        "sim_jct_bb = sim_jct.copy(update={\"sources\": [broadband_mode_source]})"
      ],
      "id": "fa62a9f0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "First, let us re-run the straight waveguide case."
      ],
      "id": "71395c4e-856d-451b-b349-f2f70e49aa50"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-038c77c3-f08f-4bd6-ab5a-cc9886ae1cc1'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
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        {
          "output_type": "display_data",
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          "data": {
            "text/html": [
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              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-038c77c3-f08f-4bd6-ab5a-cc9886ae1cc1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-038c77c3-f08</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-038c77c3-f08f-4bd6-ab5a-cc9886ae1cc1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">f-4bd6-ab5a-cc9886ae1cc1'</span></a>.                                         \n",
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        {
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          "data": {
            "text/html": [
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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\">05:36:39 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</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\">05:36:40 UTC </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": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"adef0b2e0ef445469d147f9b25a2bdb5\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:36:50 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>"
            ]
          }
        },
        {
          "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\">05:36:57 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\":\"0f8ae6ce3426428aac48f1970d6bd5f2\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:36:58 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</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>"
            ]
          }
        },
        {
          "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\":\"6ec8f4be2bf64efea74924b2fc14511f\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:37:01 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\">05:37:03 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-038c77c3-f08f-4bd6-ab5a-cc9886ae1cc1\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-038c77c3-f08</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-038c77c3-f08f-4bd6-ab5a-cc9886ae1cc1\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">f-4bd6-ab5a-cc9886ae1cc1'</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\":\"5d2e4bbc1e754c158e55dd6e827280ba\",\"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\">05:37:04 UTC </span>Loading results from data/simulation_bb.hdf5                       \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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim_bb, task_name=\"mode_tutorial\", verbose=True)\n",
        "sim_data_bb = job.run(path=\"data/simulation_bb.hdf5\")"
      ],
      "id": "e328fec8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plotting the total injected power and the power in injected mode one can\n",
        "see that a broadband source injects a chosen mode much more accurately\n",
        "throughout the target frequency range (`+/- 1.5 * fwidth`). That is, the\n",
        "total injected power is equal to 1 W at all frequencies and all of that\n",
        "power is concentrated in the chosen mode. Note that results degrade\n",
        "outside of the target range as expected."
      ],
      "id": "41844b09-3d87-422d-9062-9db0b5614d94"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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E+IdzfPTRRx3Ot9Dc7uZPG7dt28b777/fbrul/wn1a2/q1Kk4nU4Atm/f7p/foy1PP/00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\n"
          }
        }
      ],
      "source": [
        "flux_wg_bb = sim_data_bb[\"flux\"].flux\n",
        "\n",
        "# Forward and backward power amplitude coefficients\n",
        "mode_amps_bb = sim_data_bb[\"mode\"]\n",
        "coeffs_f_bb = mode_amps_bb.amps.sel(direction=\"+\")\n",
        "coeffs_b_bb = mode_amps_bb.amps.sel(direction=\"-\")\n",
        "\n",
        "fig, ax = plt.subplots(1, figsize=(6, 4))\n",
        "\n",
        "ax.plot(lambdas, flux_wg)\n",
        "ax.plot(lambdas, flux_wg_bb)\n",
        "\n",
        "ax.plot(lambdas, np.abs(coeffs_f.sel(mode_index=0)) ** 2, \"x--\")\n",
        "ax.plot(lambdas, np.abs(coeffs_f_bb.sel(mode_index=0)) ** 2, \".--\")\n",
        "\n",
        "ax.set_xlim([lambdas[-1], lambdas[0]])\n",
        "ax.set_xlabel(\"Wavelength (um)\")\n",
        "ax.set_ylabel(\"Power (W)\")\n",
        "ax.set_title(\"Power in mode monitor\")\n",
        "ax.axvspan(\n",
        "    td.C_0 / (freq0 + 1.5 * fwidth),\n",
        "    td.C_0 / (freq0 - 1.5 * fwidth),\n",
        "    facecolor=\"k\",\n",
        "    alpha=0.1,\n",
        ")\n",
        "\n",
        "ax.legend(\n",
        "    [\n",
        "        \"Total (single freq)\",\n",
        "        \"Total (broadband)\",\n",
        "        \"Mode 0 (single freq)\",\n",
        "        \"Mode 0 (broadband)\",\n",
        "        \"+/- 1.5 * fwidth\",\n",
        "    ]\n",
        ")\n",
        "\n",
        "plt.show()"
      ],
      "id": "229ba9e5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let us re-run the waveguide junction example now and compare to previous\n",
        "results."
      ],
      "id": "82816892-8b52-4f17-bd5a-fba5b597c51c"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "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\">05:37:05 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'mode_tutorial'</span> with resource_id                      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-54c022ae-2682-40d4-b8a5-097f71ba7774'</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-54c022ae-2682-40d4-b8a5-097f71ba7774\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-54c022ae-268</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-54c022ae-2682-40d4-b8a5-097f71ba7774\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">2-40d4-b8a5-097f71ba7774'</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\":\"07c018608f4b42399e3c12652b1d7428\",\"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\">05:37:06 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.029</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\">05:37:07 UTC </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": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"d7f09365ed3b4e6795aef36940d18301\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:37:22 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>"
            ]
          }
        },
        {
          "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\">05:37:29 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\":\"527e675fab9c44909ffa15297c12eb3a\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:37:30 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">17</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>"
            ]
          }
        },
        {
          "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\":\"ca85e46d5c194604aae34e4f06c4dfbf\",\"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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">05:37:33 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\">05:37:35 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-54c022ae-2682-40d4-b8a5-097f71ba7774\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-54c022ae-268</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-54c022ae-2682-40d4-b8a5-097f71ba7774\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">2-40d4-b8a5-097f71ba7774'</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\":\"772def84b26c468fae67a944454cf284\",\"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\">05:37:36 UTC </span>Loading results from data/mode_converter_bb.hdf5                   \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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim_jct_bb, task_name=\"mode_tutorial\", verbose=True)\n",
        "sim_data_jct_bb = job.run(path=\"data/mode_converter_bb.hdf5\")"
      ],
      "id": "e3353af3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Here we plot the comparison for mode mixing results between three\n",
        "options: (1) the simulation containing a mode source that uses only one\n",
        "frequency point, (2) the same as first one, but normalized by flux\n",
        "derived from straight waveguide simulation, and (3) the simulation\n",
        "containing a broadband mode source that uses multiple frequency points.\n",
        "As one can see, using the broadband source feature allows one to obtain\n",
        "results of the same accuracy without running an additional normalization\n",
        "simulation."
      ],
      "id": "9a59a85f-51c2-4ef4-9b13-22c7a18ca835"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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sTpw4wf79+zl//jwZGRmUlpYSHBxMcHAwHTt2ZNCgQRgMrn2CQgghhBBCCCFE\nS2S2WMjPLyT3wkwZ62wZ622TydzUw7sslYMOZ8IQZ9rYa19jGyf6VqtVTj+nnJwcl75GDRrYWCwW\n1q9fz4IFC/jll19IT0+vsb2bmxsDBw5k4sSJ3HvvvQQGBjbk8IQQQgghhBBCiCZnNJnIyy2osoQp\nJ7eAvPwCLBbX1HtRqcDH2wt3d739UMPVYYijNho1apUKlcr5IORqpVIU11f7KS4u5n//+x8fffQR\niYmJ9erD3d2d22+/naeffpoePXq4eISiNjk5OQQEBACQnZ2Nv79/E4/oynHu3LmmHoIQQgghhBAt\nRkRERFMPwWVKS8urBDIVtwsKi112DY1GjZ+vN/5+Pvj5+eDvZ73t6+uFRqNx2XVEda5+H+3SGTaK\norBgwQL+/ve/k5KSAoBKpaJfv35ce+21DBo0iO7duxMQEEBgYCBubm5kZ2eTnZ3N2bNn+fXXX/n1\n11/ZuXMneXl5LFy4kEWLFnHffffx8ssvExoa6srhCiGEEEIIIYQQLqUoCkXFpZUK/16sMVNSWuay\n67i56fC/EMhYgxnrbS8vzzot4xHNl0tn2Nx6662sWLECgJiYGGbOnMmdd95J69at69RPWVkZP/30\nEwsXLmTt2rUYjUa8vb05ePAg0dHRrhquqIHMsGk4MsNGCCGEEEII5zXXGTYWi4X8giK79WWMRpPL\nruPh4X5htoz3hVDGetvD4C7LipqZZj3D5uzZs/Tp04d//vOf3HLLLfXuR6/XM2XKFKZMmcKZM2d4\n5ZVXmD9/Prm5ua4brBBCCCGEEEIIUQuTyUxuXkG1ZUy5eYVYLBaXXcfHxxN/3wvLmPwvLGny9Uav\nd3PZNUTL4tIZNnv37mXAgAENkvIlJibi5eVFcHCwy/sW1ckMm4YjM2yEEEIIIYRwXmPNsCkrN17c\nJjvnQkCTl09BQRGuetesVqvx8/WqtITJuozJ19cbrVbqy7R0zXqGzcCBA13ZXRXt2rVrsL6FEEII\nIYQQQlz5FEWhuKTU7jKm4uJSl11Hp9PaXcbk4+2JWq122XXEla1Bt/UWQgghhBBCCCEam8WiUFhY\nZFvCVHlnpvJyo8uuY3DX4+9fdTcmPz8fPD2kvoy4fC4PbLKzs21TgIQQQgghhBBCiIZiNpvJyyus\nshNTTm4+uXkFmM2uqy/j7eVRZSemitvu7i2kvkx5MRz5Do58D0XnwTMEet4GPW8HN4+mHp1wwOWB\nzdixY8nOzmbEiBG2r7Zt27r6MkIIIYQQQgghrlAqYwmG2FUY4taAMY9yjwhyoieTG3INOQUXlzTl\nFxThqrKsarUKXx/vattk+/p5o9O24MUpWfHw1a2QnVjpweOQsAW2vQv3LIfADk01OlEDlxYdBujf\nvz8HDhyo8libNm2qBDgdOsgPQ3MnRYcbjhQdFkIIIYQQwjElOxHzhtfIMPuQpu9AtlsrirSuW8Wh\n1Wqq1Zfx9/PB28cTzZVWX6a8GP577SVhzSUC2sEju2WmjQs066LDABMnTqSkpIQTJ07Yks4zZ86w\nYMECFixYAECrVq2qBDidOnVy9TCEEEIIIYQQQrQApaVlZOcUkJ2TT3Z2Hnl5BSg+91x2v+7ubraa\nMpXry3h5Gqz1ZRQFLGawmEAxO+6oOBuKs8BiudjWdp7l4m2L+cIxk7WtYoaoAeAdVr3P7NPwx7oL\n7S+0NdfQt+1xM3QeC11usjPOLFj+l0rjsUBecs1hDViPH1kG/e+u0+srGp7LZ9hUyMzMZNu2bWzd\nupVt27Zx5MgRh3vUh4WFMWLECEaOHMmIESOIiYlpiCGJOpAZNg1HZtgIIYQQQoirlaIoFBQUW8OZ\nCyFNcUnZZfXp5WmwhjL+PvgnrsY/bSd+pnQMloJKQYqleqhy6VvhZ06Cj50txDe/Cr+8Xr/B3bkY\nYsZVf/zkWvh6Wv36HPkM3PB89ccL0uCNek6G8A6DOafqd66wafYzbCoEBQVx6623cuuttwKQm5vL\njh07bAHOwYMHMZlMAKSlpbFkyRKWLFkCQEhICMOHD2fEiBHcfffd+Pj4NNQwhRBCCCGEEEI0EJPJ\nTG5ewcUZNDkFmEw1zGZxQKWY8TWdx688FX9jKv7+vvjd8iL+fj7odJXe1sa/AVk76jdYi4NxqTX1\n6w8cz9y5rD4dFFNWX8bb+9I8x8dyk8En/PLGLOql0Son+fn5MWHCBCZMmABAYWEhu3btss3C2bdv\nH2Vl1mT1/PnzLFu2jGXLljFo0CD69+/fWMMUQgghhBBCCFFPVZY35RSQl19YbSKLM3yM6YSVxRFe\nGktoWQK+xjQ0VAo/9N0g2E5dG9VlhAoOA5vLeNtsMTVen6rLqL9jqKFG0KejoSQHInpDq77Qqh9E\n9gX/tiBblzeoJit17eXlxZgxYxgzZgwApaWl7Ny5k/fee4/Vq1c32jjy8/NJSUlBr9cTGRmJXq9v\nkOukpKSQlZWFTqcjLCysXlOjGmusQgghhBBCCFGbiuVNWRfCmZx6Lm9SKyaCy84QVhZHWFksoaXx\neFjyaz7JM9hBZ3V8i6tSW89RaxzPXPEIgMD21nYqjbWtWnvhXM2Fxy70oVKDplI7Lzv1awB8o+Ca\n++2fb7td6Vpq9cV2ET3t96n3hju/rdpH7GbY+UHtr0P0dfYfz0+F/BTr7TO7rF+VX5fIvtavVv2s\nX14htV9LOK3Batg4w2g0sm/fPrZu3crWrVvZtWsXBQUFVdrs27evQWbYbNq0iZdeeokdO3bYiiN7\neHgwadIkXnvtNVq3bn3Z1zhz5gyvvPIKy5cvJzs7u8qxjh07cu+99/LYY49hMBiafKyXkho2DUdq\n2AghhBBCiJaoyvKm7DxycvIxmuv+dlKn0xLg701E1k5aJ/9IcPlptIqxbp1M+q/9IrkF6WAsqRR0\nVA4+NNUDlyt9hogzu0T5hMMDm8AvqvqxE6th0Qznr+fb6uIMnPbDrbevIq5+H92ogU1paSl79uyx\nBTS//vorxcXFVdq4u7szcOBAhg0bxrBhwxg5cqTLZ5K8++67PPXUUyiKglarpUOHDhQVFZGcnAyA\nr68vmzdvpl+/+v9wbdu2jfHjx1NYWAhYn1ebNm0oLi4mJSXFVoC5Z8+ebN68maCgoCYbqz0S2DQc\nCWyEEEIIIURLUHl5U056GrklFhTqHnB4eugJ8PclIMCbAP+LuzR5HvoCz2OLMQZ2xhTYCWNgZ4y+\nbQhc9yja/CTHHco21HWTFQ9f3Wo/tAloB/csh8AO9s899A2sewGKMup+3X73wGQnZvdcQVpUYFNU\nVFSlTs3evXttdWoq+Pr6MmTIEFtAM2DAANzc3BpqSGzevJnRo0ejKAojR45k4cKFtGrVCoAtW7Yw\nffp00tPTCQ8P5+TJk/UqeFxSUkKHDh1ITU1Fo9Hw/vvv8+c//xmdTgdAamoqTz31FN988w0Ad911\nFwsXLmySsToigU3DkcBGCCGEEEI0N4qikJ9fSHZuoUuXN4WVxlE46TOMYb3tXdTuDBdN3hkCf7of\nbf7Z6ufUFjAI+8qLrVt3H1lmDV88g6HnFOtXbcGXokBuEqQchOQD1j9TDkF5Yc3nTZwLA+6t/nhx\nNnw1+cJMnAtLqYI6XhFFjZt9YLNlyxbWrVvH1q1b2b9/v20nqArh4eEMHTqUYcOGMXz4cHr06IFa\nfRnFkeqoT58+HD58mMjISI4fP14t5NiyZQujRo0C4Pnnn+fll1+u8zV++uknbrnlFgCeffZZXnvt\ntWptTCYT/fr148iRI+j1evLy8qrNJGqMsToigU3DkcBGCCGEEEI0KUXBUpBOQXIs2ZlZZBVZyLT4\nUq5yr3NXenPhhXAmjrDSOIKMZ8G3FabAzhgvzJopD++PoveuU78qYwmG2NUY4lajN+bXLWAQDc9i\nhszYCwHOAeufab+DudLStod3QLidejuxm6wzfipz84LIPhfr4UT2tS7RamFL1pr9tt5PPfUUBw4c\nsN2Pjo62zZ4ZNmwY0dHRrr6k0w4cOMDhw4cBePTRR+3OSBk5ciRDhgxh586dfPnll7z00kuo6vhD\nkpKSYrt9/fXX222j1WoZNWoUR44coaysjMzMTCIjIxt9rEIIIYQQQogrmKkUXXYcxvRYcjIzySo0\nc97iR5Y2AkWlAS4U73XybYSvMY2wUmtAE6ycx8s/AFN4J4yBwzAF/okM/w6grXvwcylFZ6C46xSK\nu04hIiLisvsTLqbWQEgX61ffO62Pmcog7SgkH4RzhyEkxv65yQerP1ZeCInbrV8VPIOtu1JF9rv4\np2egy59Kc9Zgu0SpVComTpzI1KlTGT58eJUwoqmsWrXKdrtiBow9t9xyCzt37iQlJYVDhw7Rt2/f\nOl2nTZs2tts5OTkO21UUItbr9YSFVa0e3lhjFUIIIYQQQlxZ3I8toyTpd7IKTZy3+JOu70CBLgQI\nAQ3WLyeoVCr8fL0I8PcmmEyikn9EG94WU+AQjEGzKTcEkS0fGIsKWj206m/9qknKgZqPVyjKgD/W\nW78qTP4f9JtZ/zG2MC4PbFq1asWBAwdQFIWVK1eycuVKANq3b8/w4cNtXx06NP6aw99++w2wbine\npUsXh+0GDBhQ5Zy6hiAjR46kdevWnD17lv/+97/ceuutaDRV/1VMSEjgxx9/BOCOO+6odryxxiqE\nEEIIIYRoWVTGIrS5pzEGdwOsuzfl5BbYCgTnZgZhZDTUceWQ3lxIoLcO36hOBPh74+frVel9SjvK\nYgZQ96o2Qlxi0gfWJVQV9XCSD0CJ44kOVYR0tv94xinr7JxW/SC0G2h0rhtvE3J5YLNy5UrOnz9v\nKzS8detWfv/9dxISEkhISGD+/PkAREREVAlwunbt2uDLeU6dOgVYZ8DUdK22bdtWO6cuDAYDixcv\nZtKkSWzbto2BAwfyl7/8hejoaIqLizlw4ABz584lLy+PoUOH8tZbbzXZWIUQQgghhBANw1qHZRWG\nuDWoizOxeARREj2Oko4TUHSG2jtQLGjyk9Bl/oEu6w+0WafQZf1BWVE+afpo4vu/QHZeKXn5hVSt\nTOrcm1UfSw7BuiICfdzwCwnHPWIAGALq9VyFcJpXCHS5yfoF1qLGOacvhjcVS6qMVXeURq2FMDs1\ncQD+WAfrnrfe1uqttXMi+16oidPfWqS6EWvnukqDLIkKCQlhypQpTJkyBbAu/dm+fTtbt25l27Zt\nHD58mHPnzrF48WIWL14MQFBQEEOHDrUFOL1796426+RyVSxPqigC5EjlwkA1LWmqybXXXsvRo0eZ\nO3cub7zxBn/605+qHA8ODuarr75ixowZtt2jGnusNbXPzc2tU19CCCGEEEKIi+zudJQdiz55N14H\nPyPr5s8w+14spaAqzUOXfQptljWc0WWdQpt1Ckyl5OgiOeseTZo+mjTv6ykIuFB35mym0+NRYyZA\nW0Kgtxt+IaH4RbRHb7j8WjNCXDaVyrr7V0A76HGb9TGzCTL+qDoLR6MDnYOf2eRKy6xMZZC0z/pV\nwd0XIvpYa+FUFDX2iWj2RY0brIZNZQEBAUycOJGJEycCkJ+fz44dO2yzcA4cOEBmZmaVJVQ+Pj4M\nHjyYTz/9lKioKJeMo6ioCAB395r/YTIYLqbdFefUldFo5NVXX+Xzzz/HbDbj6elJu3btKC8vJy4u\njoyMDJ5//nlUKhUzZ1Zfg9cYY60tDBJCCCGEEELUncpY4nhbakCbf5bAn+4nY9oPePz+DZ5Hv0Zb\nmAqAUeXGeX17azgTOIp0fQfK1XXfFclNbSbQS4d/SCj+QUEXlje1vBkG4iql0UJYN+tX/7utj1ks\njtvbK2RcWWkeJGyxflXwCrWGNxPesu5I1Qw1SmBzKR8fH8aNG8e4ceMAa9Cwa9cutm3bxi+//MLO\nnTvJz89n3bp1pKenuyyw0WqtT9dsNtfYrvLxinPqwmQycdNNN7F582YMBgMfffQR9913n20mTUZG\nBn//+9/57LPPuPvuu8nMzOTxxx9vkrEKIYQQQgghXMsQu8phWFNBm38WQ+xqSkxqMi2RpAWMIE0f\nTaZb6wu7N9WNp4c7Af4+BAR4E+Dvg5enQXaQFVcWR0uaLBYYMOvibJz8c871V5gOf6yF2z9zcPy8\ndbvxJtxGvsnf4ZtMJo4dO8Zvv/3G4cOHOXbsWINdy8vLi6ysLIqLi2tsV/m4l5dXna/z6aefsnnz\nZgA++OAD7rvvvirHg4OD+fTTT8nMzGTFihXMmTOHW2+9tcruUo0x1opdquzJzc2lffv2depPCCGE\nEEKIq526JAfPIwvsHrOgIkcXSdqF5U2piV4UqsIhpFOdrlF596YAfx8C/L3R691cMXwhWh61GkY8\nefF+fmqlejgHIOUQlObaPze4M+i97R9b9zwc+Q5Cul5cRtWqr/W+xk6UUl4Mh7697KdTWaMHNuXl\n5ezdu9e2HGrXrl0UFhbabevl5YWHh+vSrIiICM6cOcO5czUnbpWPh4eH1/k6S5YsAcDX15dZs2Y5\nbPf444+zYsUKjEYjK1as4LHHHmvUsVaufyOEEEIIIYSoB1MZbmkH0SftQp+8E13GCVRYKwArqMh0\niyLJ0J1U9071Xt6k02krhTM+srxJiJr4hIPPeIgZb72vKJAVX7UeTuoRMJVCZD/H/SQfAIsZ0o5a\nv/bPtz6uM1iLGttCnH7Wayy4DVISXPpUGjywKS4u5tdff7UVHP71118pLS2129bHx4chQ4YwYsQI\nRowYQf/+/V26zCcmJobdu3eTkpJCcXGxwzAoNjbWdrtr1651vk5iYiJg3cq8psLJnTpdTNIrzmns\nsQohhBBCCCHqQFHQZp1Cn7wTfdIu3FL3ozZdfH9TovYmydCNJEN3kgzdKNX41PkSsrxJCBdSqSAo\n2vrVe5r1MbMR0o9bd5SypzQPMmPtHzOWwNk91i/bNdSg1FBjp55cHtgUFBSwc+dOW0Czb98+jEaj\n3bZ+fn4MHTrUFtD07dvX5TtDVTZ48GDmzZuH2Wxm9+7dXH/99Xbbbdu2DbBONRw0aFCdr1NRCLik\npKTGdpWXM1UuHtyYYxVCCCGEEEI4xy1lL/4bn0RTnGF7zIyGVH1Hzhq6k2zoToa+bZ36VKtV+PrI\n8iYhGpVGBxG9HB/PO2fdtSo70XGbyhogrIEGCGyuu+469u/fb/dYQEAAw4YNY8SIEYwcOZJevXqh\nbsS90CdOnMiDDz6IyWTiq6++shuClJeX25Y0DR48mLCwsDpfp3Pnzpw6dYpTp06RmprqcKnSli1b\nqpzTFGMVQgghhBBCOMfs0wpNcQYFmkDbDJoUQ0ydljm5mwsILYsnhEz0w/+Cb2CgLG8SorkJjYEn\nfoPiLGsNnMrLqQrPN9owXB7YKIpiux0cHMywYcMYOXIkI0aMoEePHk06lS8oKIjZs2fz6aefsmjR\nIu677z5GjBhRpc3zzz9Peno6AM8++6zdfo4dO0ZJSQlarZbevXtXOz5lyhR++uknLBYLjz76KEuW\nLKk2c+jcuXO8+OKLgHV2TcWOWa4eqxBCCCGEEKIWigVdxnH0STvRJ++iPLw/BQMftR02m81kZedz\nPqOUrKg3yNMEOd21m6WYyJITRJUcI7zsD/yMaZh9WpN182eYfYMb4tkIIVzFIxA63mD9AmutmryU\ni+FNykFI3N5gM2xUSuWExQVefPFFQkNDGTFiBF27dm12ay3Pnz/PwIEDOXPmDB4eHjzzzDOMHDmS\noqIiFi5cyOLFiwG4/fbbWbp0qd0+unTpwh9//IGvry+5ubnVjpvNZoYPH86uXbsA6N+/Pw899BCd\nO3emvLyc3bt3M3fuXM6ftyZzr732mt3AxRVjra+cnBwCAgIA625SUqDYdWorJC2EEEIIIRqepuDc\nhULBu3BL3oWm0i4yZcHdOH3jQs5n5nA+I5es7DwsFuffNvn6eBIS7E+ovwcRGVvxjF+NujgLi0cg\nJdHjKek4HkVnqL0jAVg3ZBGi2Zp3MyRsBSCnRCHgXeumSq54H+3ywKYl+OOPP7jtttscbiE+ffp0\nvvzyS9zd3e0ery2wAWvgMWvWLH788UeH43Bzc+Of//wnzz33XIONtb4ksGk4EtgIIYQQQjQ+VXkh\nbuf2WmfRJO1Cl1u1NkWZ2kCKe9cLtWi6UagNdLpvNzcdIcF+hAT5ERzkJzVoXEwCG9Gs7f8KVlpn\n5Lk6sGn0bb2bg86dO3PgwAGWLVvGmjVrSEpKQq/X06lTJ6ZNm8bw4cNrPL979+54eXnh7e1gv3as\nW2b/8MMP7Nu3jxUrVnDkyBGys7PRarWEh4dzzTXXMGPGjFq34r7csQohhBBCCHG10qUfRZ+0HX3S\nTtzSf0NlMdmOKajIcGtzoRZNd9L17VFUzm2AolKpCPD3JiTIn5BgP3x8PJvdygIhRCPpeTtse9f5\nAsV1cFXOsBG1kxk2DUdm2AghhBBCNI6AH2fjnrzLdr9Y40OSu3XL7WRDN0o1jj+AvZTBoCckyI+Q\nYH+CAn3R6a7Kz76bhMywEc1eVjx8dSs5KQnNd4bN3LlzufXWW4mKinJlt5hMJubPn8/IkSOJjo52\nad9CCCGEEEKIlklVmof+3D5K210Hquo7LRW3GkJWZhbJ7t04a+hBlr61031r1GoCA31tS508PQ0y\ni0YIYV9gB3hkN+z4Ct79i8u6dWlgs3DhQubMmcP999/P008/TevWzv+DaE9ZWRmLFy/mpZdeIiEh\ngX379rlopEIIIYQQQogWx1yOW/pv1mLBSTvRZfyOSrFwfupKTEFdACgqLuV8Rg4ZmblkZnTBFNbF\n6e69vTwIDvYjJMifwAAf2W5bCOE8Nw/oMx1opoHN7bffzrFjx/jvf//Lhx9+yMiRI5k5cyaTJk3C\nz8/PqT7MZjO7d+9m4cKFLF261FbUd/jw4bRp08aVwxVCCCGEEEI0Z4qCNicBfbK1ULBbyl7UpuIq\nTYwqN7JiD3M23Y3zGTkUFZc63b1WqyE4yO/CLBp/DAa9q5+BEELUm8tr2Jw5c4Y5c+awZMmSixdR\nqejcuTODBg2ia9euBAYGEhAQgF6vJzs7m+zsbM6ePcvevXvZv38/xcUX/xHu2LEjb7zxBpMnT3bl\nMEUtpIZNw5EaNkIIIYQQjqlLstEn77owi2YXmqK0KscVIEcXyVlDd5IM3Uh174RFpXO6fz9fL2tA\nE+yPn683arXrljmdSI0nJrxDo513tZAaNqKlcPX76AYrOvzbb7/x4Ycf8s0331BYWFjn80eMGMGD\nDz7Ibbfdhk7n/D/AwjUksGk4EtgIIYQQQlSnzfwDv5+fwy3zeLVjZWoPkt27XtjRqRtF2gCn+9W7\n6QgJ9ic4+MKW224N897i4y2L+XTbUl6Y8BCT+452+rwVBzfy8qqPeGD4VB4cOb1BxtbSSWAjWooW\nE9hUyM/PZ/ny5fzyyy9s27aN06dP223n7e3NkCFDGDFiBJMmTaJLF+fXmgrXk8Cm4UhgI4QQQghR\nnbokh9AvB6NCwYKKDLe2ti23z+vbo9gpKmyPbcvt4Atbbns3/JbbJ1LjufOzp233nQ1tKsKaCovu\nf0tm2tghgY1oKVpcYHOp7Oxs0tPTycjIoLy8nKCgIIKDgwkLC0Oj0TTmUEQNJLBpOBLYCCGEEOJq\noy5KR5+0G33STsy+URQM/Gu1NqWl5ZSsfZlzpgCS3btSpvFyun8Pg94W0AQF+qLVNv6W25eGL7WF\nNnVtf6WraVlYTYHNkbMn6dlaPuwXzYOr30c3+r9kAQEBBAQEEBMT09iXFkIIIYQQQriAyliCIXYV\nhrg1qIszsXgEURI9jpKOE1B0BlTGYtzO7UeftBN98i502bG2c01+bSkY+FfMZgvZOflkZOZyPiOH\n/IJi0N8ITtT91WjUBAX42pY6eXq4N/mW2xVhS0UIU/GnvRBGwpqq6rucbNGOH3jy69d4cvx9PH3z\n/Q04QiGaRuNHz0IIIYQQQogWS5N3hsCf7kebf/big9mx6JN347P7bYy+bXDLPIHKYqx2bp42mCRz\nO+J+PUhGXhlms8Xp63p7exASZC0WHODfPLfcdia0kbCmqhOp8Xy6bSlQc8h1qYqwBuCd1V8wttcw\nmWkjrjgS2AghhBBCCCGcojKWVA9rKlGX5aE/f8R236jSk+LehSRDN5IM3cnXhVoPZJfUei2dTktw\nkC8hQdZZNAb3lrHldk2hjYQ11cWEd+CFCQ85NTOpQuWwBuCdu56TsEZckSSwEUIIIYQQQjjFELvK\nYVgD1i23s3WtOGvoTrKhO6nuHbGonH/L4e/nTfCFWTT+fl5NvsypPoxmI/3adGPGwPF8u3c1YA0h\nVhzaxO8pF5eGPTD8do6diyPu/FnctDqiQ9owvucIu30ePxdPYVkxeq0ON62OqIBwvPQejfJ8GkNd\nlpPZC2vuHDqxEUYpROOTwEYIIYQQQghhX8X+JBeCE0PcmmpNStWelbbc7k6x1s/p7vV665bbIUHW\nLbfdGmjLbVezKBbUdnatyirMZex7f8KiWJd66bVulJnKAaqENS9MeAgfgzefbnvT9tiozgMdBjYf\n/vINu+IP2e5/MON5hnTsW61den4mt334V9y0bui1OsJ9Q5h377/t9rn5xG52xh20ttXoGNKxHwPb\n9bDbdnf8YVRg67dTWDt0Gte+lXQmtJGwRlxtJLARQgghhBBCXGQx45Z+GPeEjbgnbiL7xv9hCuoM\ngLo4EwXI0UWQ6NGHMx69OO/WDpzcclutVhHg70NIsB/BQf74eHu0iFk0637fzi8n95CUk0ZKTjpP\njrmXW3pfV62dv6cPOo3WFtKUmcqJCe/AidR4W5vukR2Z3Hc0a49uq3Kum9bN4fXLTVXrAblp7Qdb\nZSYjxeWlFJeXAqDTOA7Afk+JZeWhzVXG7iiwefb7dygoLbLd/+Xpr/A1eFdrt/nEr7yw4n3ctG64\naXWM7DyQ/xv/Z7t9ztvxPWeyzqHXuqHTarm93412Q5tys4kBXXoTl3aaZ799y3a+hDXiaiCBjRBC\nCCGEEFc7czn65F9xT9yIe+LPaEqybIfcEzeyt1xDqHsI8V7jSDKEXqxF4wRPD3frbk5BFVtuaxri\nGdSZ0WwiMTOZlJx0knPSKDMZ+dOwKXbbxqafYePxXbb7KTnpdtupVWoi/UNJyEiyPVY5rAFrULLi\n4EZUl4RcjkIYwBYAXWxrP9wpv6SdvoY+q4dAdQmM7LctM5VRaiqn9MI4isqKHfa5K+4QB88et90f\n1fka2gZFVgtt3lj7Gayteu6r056UsEZcFSSwEUIIIYQQ4iqkMhahP7PdGtKc2Yq6vLDKcZNKR4p7\nDMfOmDhxLhFPXTqoe0Itk2m0llJCPCFZp+aDnQu4/ZqxXN9tegM+E/ssioWswlzcdXq83T2rHc8r\nKWD6J0/Y7nu4uXPf0NvszviJ9K8aUCXnpDm8biv/UApKi3DX6UnKTrU93j2yo21Z1MurPuKhkdP5\nv3F/psxUTrnJSIeQ1g77jInoYFteZTQb8Xa3X7/m0mBFV6cQyH5bRVGqBzYOlkNdXgh08fqXhjaV\nqVUqpgy6yWG/QlxJJLARQgghhBDiKqEuyUF/+mcMCRvRJ+9CZa76pr1U7clZQ08SPfqQZOiGSe0O\nQPW4o6rA8rNElRwjquQoQW7lzA99hJfWfgHAp9uWMqLzAGLCOzTEU6pmwa6V/PjbL6TkpFNmKucf\nN/+FSX1uqD5mTz8MOndKjNblQ8XlpeQW5+Pv6VutbaRf1cAmLT+rWpsK70ydw4+Hf7a7G1TlXaI+\n2rKYFyY8xJ2Dbq71OT170/21tgHoHNaObXO+ptxUTpnJiArHy80m9BxJt4hoykxGyk3l9IzsZLed\nWbEwpGNfyi+0M5nNaNT2Z0mVVQthHL/dLDNfOhuoargzue/oaoWaAYZ07oePwctun+dyzuPn6YOH\nm7vD6wrRkkhgI4QQQgghxJXOYiJw1f24pexBdaEgboUCTQCnPXpz2qMv59w7oahqX7KkVkxElhyn\nXfEh2pQcwdOcC4DJpzWL28/ixQthDVjDissNa4rLS9j6xz6Sc9JIzklHURRemvRXu20LSourLElK\nyrY/G0alUhHpH0rc+TMX2+ak2Q1sOoe145+3PEIr/zBa+YcS5O3vcKyOwhqo225I9aFRa6y7Rzmx\ng1Tv1jH0bh1TazutWsN/ZvzdqetP6TeGW3qNosxkxGg21lhD5+FRd5JTnEe5yUiZyUiIT2CV4ysO\nbqwW1gAEePo57POFpe/y8++7GdqlP6N7DGVC3+sI8Kr+/RSipZDARgghhBBCiCudWgvmclSKxbb1\ndqJHH0579CZT39apLkpNpZzKS+RkbhxTBw5jiHcwhjgjarcQyjxiKIkez5IiQ7WwprYwwmg2kZqX\nQUpOOu2DWxHqE1StTZnJyN9XvG+77651418TH3Vq+VJKrv16MwB9WscQ5OVPVEAokX6hhHgH2m3n\n5+Ftt8jwpSrPoAH7z7+hQ5umpFFrMLhpMDgxw2V4p/4Oj136OvZt242Dp48B8MOBTQyPGVCthk2Z\nsZwtx/dSYixj49GdbDy6k15tYiSwES2aBDZCCCGEEEK0dIoF3fnf0Z/bS2GfP1U7bLEonI24mYzS\naBI9+lCgC3aqW3d3N8JCAggLDWTn2X0sP2zd1vuf609hnvAQk2/50tZ2xcGNvLy25rDiUm+t/4Il\ne9fatsH++/gHua3fmGrt/AzeeOk9KLxQxLbUVE5WUS5BXtVnukT5h9lue+k90Kodv+V5btwDNY6v\nLpwJaypcyaHN5bL3Oj484Z4qW3pX/Fk5tNkde6hKkeNQ3yB6RNlf5pVblI9Oq8NTb2iIpyCEyzRJ\nYHPo0CF27dpFeno6xcXFPPbYY7Rq1aophiKEEEIIIUTLZDbilrofQ8JG3BM3oymyziQpbTMKU0AH\nTGYzGZm5pKVlk56RTXl5FPhG1dqtt5cHYaEBhIcG4OvrZZvFMjl4NKjshwyXvske0qEPexKP8P3B\nDejUWr6c/Zrda3npPW1hDTgu5qtSqWjlH8rJtMSLbbPT7AY2MRHtWXjfG7QKCMPH3atRtg0/kRrv\ndFhTwV5o0yW8faPV+mmOagq9KsIZR6FNfkkhkf6hth28bug+GLXafoXsTzYv5sMNXzOkcz9G9xjC\nuD4jCfWtPrNLiKbWqIHNvn37ePDBBzl48GCVx6dPn14lsLnzzjtZsmQJixcvZsoU+1vrCSGEEEII\ncdUxleKetBP3hI24n/4FdVlelcOlak/OHd/HaUM5GRm5mC0WBx1VFeDvTVhoIGGhAXh5Op51MLnv\naMrNJutWy1hDhksLwz41djZvr59nu++m0WFRLKhV1d88R126fMnBdtkAY7oNpX/b7kReqCPjaFcl\nDzcD3SI7OuynIcSEd+CB4VP5dNtSp8KaCpVDmweGT5WwppbQq6bQ5pZ+13Nz3+s4kRLHhiM7GNSx\nj8NrbTy6gzJTOT8f283Px3bj6e7B1EHjXP2UhLhsjRbYbN68mXHjxlFebq0G7u3tTWlpKUajsVrb\nMWPG8M0337B+/XoJbIQQQgghxFVNVZaP+5mtuCdsRH92O2pTSZXj+doga9FgQx9S3Tuh5KshP7vG\nPtVqFcFBfoSFBhIa4o+73vH2yxW+3bOaNUe3cjI1ocrjlcOaijfZn25dSn6pdZvwcrORjIJsu7Vp\nIi8sXwry8qeVfxjtgx3PAJo1ZHKtY2xKD46cXq/dsCb3HS0za+qwnKym0EalUtG1VUe6tnIc2J3L\nOc/vSads91UqFdd1u9Zu21JjGSazCS8728IL0RgaJbApLCxkxowZlJeXM2DAAObOncugQYMYMGAA\nBw4cqNZ+7NixAGzcuLExhieEEEIIIUSzoiorwBC32hrSpOxFZbn4IacCZLlFXSga3IcsN/szTS6l\n02oIDQkgLDSAkGB/tNrad4OqLDk3jWPn4mz3g7z8ySzMsd3vHtnR9iY70j+U/NTCi+fmpNsNbLpH\ndmTnc99i0OnrNJbmqr6hy9Uc1tRnOZm90KZH6870bN2l1uslZ6USFRhOUlYqAP3bdXe469e6w9v4\n61cvMbhTX0b3GMrYXsNoFRBmt60QDaFRApuvv/6ajIwMOnbsyM8//4yXl1eN7cPCwnB3d+fMmTMU\nFBTg7e3dGMMUQgghhBCiWVAZi/Db+k/bfQtqUt07ctqjD4kefSjUOldvw+DuZlvqFBjgU62mh9li\n5mRqAoeSTnL47AlSctP55v637dZ96RMVw7d7VtvuVw5rwDrTZsXBjUzuO5q7B0+k1FhGK78wIv1D\nCfEJsDs+nUaLTiP7oFzN6rucrHJo8+T4+5wKawAGRvdi7yvL+SM1kY1HdhDhH+Kw7cajOyg3Gdly\nfA9bju/hXE46L9z6iFPXEcIVGuVfx19++QWAxx57rEpYU1MBsNDQUM6cOcO5c+fo3Llzg49RCCGE\nEEKIRqUoqEtzsRiqf7pv8QqjKKQv5wsVEj36cMbQizJNzR96VvD29iA81Lqzk6+PZ42/c1sUC/d/\n9QKlpnLbY+dyz1fbGhugV5T9N8TdIzvalkXJbkeiPuq7nOzOoROdnllTmUqloktEe7pEtHfYxmQ2\nsfn33VUeG91jqN22iqJQWFqMt0GWTgnXapTA5ty5cwD06tXL6XN8fX0BKC0tbZAxCSGEEEII0egs\nZtzSD1uLBiduQtEayJj+k+1wWZmR9PPZpKVnk+HxEGYP+7vcXCowwIewCyGNp4e77fGMgmwOJ53E\nW+/BoA69q52n0+joHtmJ/Wd+tz12KOmE3cAm2DuA6QPGsXjfGttjFTMiKtcgkdBG1Ed9l4XVNaxx\n1rmc8/h5+pBbnA+Av6cP/dt3t9v25Ll4xrw6i0EdezOmxzDG9BxKm+DIBhmXuLo0SmCj0VjXx5rN\n5iqP15T2nz9/HrgY3AghhBBCCNEimcvRp+y5ENL8jKYks8rh0vR4UorcSU3PJjsnv9IRx2GNWq0m\nJMiPsNAAQkMC0Ot1VY7vP/07L/30P5Iv7Lo0JLqv3cAGoHfrLlUCm6PJfzCh58hq7VYc3Gg3rAH7\nW1RXflyIlqZ1UAS7X/qOuPQzbDiyA5PZhNbB8r0NR3ZgNJvYfnI/20/uZ+vJvXz98DuNPGJxJWqU\nwKZiy+4jR44wfPjwWtufOnWKtLQ0DAYDERERDT08IYQQQgghXEplLEJ/ZjvuiRtxP7MVdfnFArwK\nkOnW2laPJvtAmlN96nRawi4UDQ4O8kNRWQCV3RowAZ6+trAG4Lekk5gtZjTq6oWGr2nfi9OZKfRu\nHUPvqBg6hbWt1saZXXwktBFXGpVKRcewtnS083eisg1HdlS5P8bB0imAkvJSDG7uDo8LUVmjBDbX\nXXcdixYt4tNPP+XBBx9Eq7Ve1tEMm5deegmAYcOG4eZW+xaDQgghhBBCNDV1SQ760z9jSNiIPnkX\nKvPFujBmNKS6d+K0Rx9Oe/SmUBvoVJ8Gg95WjybA34ejKX+w/Ph6Died4PeUWN6c8hTDOvWvdl7b\noEh8DV7klViDosKyYuIzkugU2rZa235tutGvTTeHY6jLlssS2oirTZmxnPySgiqP3dBjiN22RWUl\n9HxmPL3adGFMz6GM6TGU9qHO7fImrk6NEthMnTqVZ599lqNHjzJr1iw+/fRTPDw8qrUrLS3lhRde\nYNGiRQD89a9/bYzhCSGEEEIIUY3KWIIhdhWGuDWoizOxeARREj2Oko4TUHSGKm3d49biv/FJVIrF\n9phRpSfJ0P1C0eCelGucK0jq4+N5IaQJwMe7atHgNUe38d3+dbb7h5NO2g1s1Co1vaK6sCvuEDHh\nHejdOgaPenyqX58tl+2FNl3C21/VW1eLK5de58b2fy4hPv0sG4/uID79rMOdp7af2EdRWTG7Th1k\n16mDfPHLd+x9ZXmNpULE1a1RAhsvLy8+/vhjpkyZwqJFi9i4cSOTJk2yFSP+5ptv+Oyzz/jxxx9J\nS7NOCZ0+fTrjx49vjOEJIYQQQgjBidR4W6igyTtD4E/3o80/e7FBdiz65N14HfyMrJs/w+zbxnZe\n95AeqBQLxWofznj0ItGjDymGrphVOnuXqiYwwAetp4qkknPsyz7J00Pvs9uuT+uYKoHNobMnHPb5\n3LgH8DF4Y9DpnRqDPfXdcrlyaPPA8KkS1ogrXofQ1nQIvaPGNhuObq9yf0zPoQ7DGqPZJFvei8YJ\nbABuvfVWFi5cyAMPPMD58+f59NNPbcfee++9Km2nTp3KvHnzGmtoQgghhBDiKvfxlsW2UOLWHkOr\nhzWVaPPPEvjT/WRM+4HlR3fwv43fck/f2+gY9RLn1eGgqn1nJ41aTXCwH+GhgQQF+TDxw7+QWZhr\nO3734ImE+gRVO693VEyV+5mF2VgUC2o717R3fn3Ud8vlyX1Hy8waISo5k3muyv2aat3c8O+78ff0\nZUyPoYzuOYTo0DZ1molz5OzJeu2gVd/zRMNQKYqiNOYFk5KSeP/99/nxxx+Ji4uzPW4wGBg+fDgP\nP/wwN998c2MOSdiRk5NDQEAAANnZ2fj7+zfxiK4cFTPLhBBCCNE8nEiN587Pnrbd/2ZgL65L+NZh\newXIcGvLloi7OFniTYjBuWBEo1UTERZEeGgAQUF+aDUXCwDP/vL/OJx00nb/tVufYGx3+2/m3t+4\ngI6hbejTOoZw32BZTiGueFfSRjSnM5LZeGQnW0/u5YsHXkOvq16zNSH9LINfnGq7r1VrOPHOBrwN\nzi2rfOunz3hn9Re8c9dz3Dl0otNjW7TjB578+jWeHH8fT998v9PniYtc/T660QObyoqKisjOzkav\n1xMYGGjb/ls0PQlsGo4ENkIIIUTzYy2s+yFdNWXM90mitcZY5bgZDefcO9uKBhdpA5zqt1wpJ64g\nkT3nDtE+MpJ3pj1rt91/Ni1k/q4VtvtTB9zEszfJGyYh4MoKbJzxyaZveXHZXNv9YV36891j/7Xb\n1mKxoFZfnGF35OxJxrw6y3bf2dCmIqypsOH/5stMm3pw9fvoJl0U5+npiaencymhEEIIIYQQDUGb\nHcfdphPc0SoL/9LztsdNKh1Jhu7Ee/TnrEdPytXVN82wx9fHk7DQQMq0JcxaeDGgyTubj6IodmfE\n9G4dg/fBDfSK6kKfqBgGdeh1+U9MCNEinTyXUOX+6BqWTv358xdIz8tgdM+hjO4xlB5RnXnnruds\n4UvFnzWFNpeGNe/c9ZyENc2EVDESQgghhBBXHU1eEobY1Rji1qDLPmV73KjSc9bQgwTPfpwx9MSk\ndm5npaBAX8JDAwkNDcDDYC3ya7aY8XQzUFReAkBuSQGns1JoF9Sq2vmDo/vwy9Nf2a1FI4S4urx3\n9995bNy9bDq6k41HdzCmp/3ApsxYzs/HdlNUVsze+CP8e8WHbPy/r2zhjDOhjb2wpi7LqETDcmlg\nU1hYiMlkcmWXeHt7y1IpIYQQQgjhUobYn/DZ+x8AylXunPHoRYJHP84aemBWV68pcSmtpZScgjg2\nZp1lULde3HLNkGptNGoNPaM6szv+MCpURIe2Jq+4wH5/avl9VwhxUZugCO4bdTv3jbrdYZvdsYco\nKiu23Q/1DaJbq44AToU2EtY0fy4NbEaOHMmBAwdc2SX79u2jf//+Lu1TCCGEEEJcJRQF7CxByms7\nltRj+0jw7E+SoRsWJ7bfdjfn07b4MO2KD2EsimN0dmtKUKNPcvwr9b1DbuWOgRPoGdUZb3cpBSCE\ncJ3Dp49XuT+6x5Aq9WzshTabft/FC5MfZnfsIQlrWoCrdklUVlYWn3zyCatXryY5ORm9Xk/Hjh2Z\nPn06d955Z5Uf9Lp67bXXeOedd+p0zr59+2jXrl2Vx4YNG8aJEydqPff222/no48+qtP1hBBCCCGu\nVOriLNwTNmCIW01p+7EU9ZwJQFm5kbT0bFLTssjIzEUJ/lOtfXmasmlXfJD2RQcIK4tFjUK2WwDj\nciMowfr74tGUUxjNJnSa6r9a92/b3bVPTgghLnhs3L1MGXQTm47uZMORHdzUe0S1NpeGNmsPb2Xt\n4a1V2khY03y5NLB5+eWXycrKcnj84MGD/Oc//8Hb25tbbrmF3r174+/vT2lpKfHx8axfv56jR48y\nYMAAHnnkEdRqNe3bt3flEAHYtWsXt912G2lpaVUej42NZc2aNXzyySf89NNP9a7oXFRUVOPrcCm9\nXm+rJF1ZTk6OU/0UFNifWiuEEEIIcbVQleZiSNiIIW4tbim/olIsAJSadZz2G8251EyysvNwZn/U\n3LI8jufEMrp3b9L3L6JNcSy5ahNxFg/2enTkjrvn4b3wJcYHhtM7KoY+rbvKkiYhRJNoFRDGrBG3\nMWvEbQ7bjOw6yOExCWuat0bb1vvrr7/m3nvv5Y477uCDDz7Ax8fHbrulS5dy7733MmzYMH766Sd0\nutqnp9ZFYmIi/fv3Jzs7m+DgYN566y1GjBhBUVERCxcu5K233sJisTBixAh+/vnnes20KS4upri4\nuMY2e/bsYcKECQBMmzaNxYsXV2vTvXt3jh07xvTp0/nggw8c9uXu7o6Xl1edx1kT2da74ci23kII\nIYRrqMoKcE/cjCFuLfrknags1lqKRRo/Ej36kODRn1T3TihOFPL18HAnuSSFZcfWcq44HYDeUV04\nnHSyWtsXJjzE5L6jXftkhBAOXW3bervayn0befCLF6o93rddN9bM+aIJRnTlapHbev/xxx/Mnj2b\nIUOGMH/+fLtbGVaYOnUqRqORu+66i3/+85/8+9//dulY5syZQ3Z2Nnq9np9//pnu3S9OU3399dcJ\nDQ3liSeeYOvWrSxatIiZM2fW+RoeHh54eNS87eOPP/5ou33vvffW2Fav1xMUFFTncQghhBBCXGlU\nxmL0p3/BELcW97PbUJnLASjU+JPg048Ej/6k6TuAEyGNl6eBiPBAwsOC8PH2YG+ilnP7rGGNVq2p\nEtZ0j+zI7ymxALy8yroUXUIbIURLMGnAaFJy0nl5+X+rPH4w8RiLdvwgM2yasUbZN/DTTz/FaDTy\n0EMP1RjWVJg+fToBAQF8+OGHLt11Kjk5mWXLlgHwpz/9qUpYU+Fvf/sbbdu2BeDdd9912bUrKy0t\nZenSpQC0atWK0aPlP3shhBBCiJq4Je3Cf/1jhH45mICNT2JI3ESByofDPmNZHv5/fB31NrsCZpDm\n3rHGsCa9OIPQSD9GDuvDqOF96NKpDb4+nqhUKvq26cr0geOYPmAcJovZds4LEx5iwX1v8MKEh2yP\nvbzqI1Yc3Nigz1kIIVxh0Y4fqoQ1fdt1s91+8uvXWLTjBwAUReG7X9diNLt252dRf40S2Bw9ehSA\nqKgop9prNBoiIiLIzc0lKSnJZeNYuXIlFSvA7rjjDrtt1Go106ZNA+Dw4cOcPn3aZdevPI7c3FwA\n7rnnnssqcCyEEEIIcTXQpx7AEL+OfHw46DuOZeEv8E2rN/g1YCrn9R1qPDfPlM/m5O18cHQeHx1f\nQGxxPD7eHtU+SNRpdHQMacPifWtsj1Ve/jS572gJbYQQLYq9rbvXzPmCd+56zvZYRWizcPtKHp3/\nL8a/8SdOnktoiuGKSzTKkqiysjIAp8MXs9lsq/NRca4r7NmzBwCdTlfjVuFDhgyx3d67d69txo2r\nzJ8/33Z71qxZLu1bCCGEEKLFMhtBMYPWvcrDBYXFxLoP53xEMFluzn0A6OfrRXhYIBFhgfzw+2a2\nH94LgI+7F+Vmo91zVhzcaFvuBPZr1VTcr2gny6OEEM2VvbCmYvmTvS2/3bTW+rFHzp5kzKv38MGs\nF5nY/4ZGHrWorFECm44dO7Jt2zY+/vhjpk6dWuuyqMWLF9vqzLRu3dpl4zh50roOOSoqCjc3N4ft\nKu9M5cy22nVx7tw5Nm3aBFi37Y6Ojq71nF27djF8+HBOnz6NSqUiNDSUQYMGMXPmTAYMGODS8Qkh\nhBBCNCqLGbfUfRhi1+KesIGCAQ9T1P1O8guKSU3LJDUti4LCEmvbWsIaP19PIsODCQ8PxMNwMfQZ\n0WkAWYW5DO3Yjx6tOtnd0cmZsKaChDZCiOauprCmwqWhTbnpYpit0+jo07ZrI4xU1KRRAps77riD\nL774gi1btjBr1qxad4l64IEHALjllltqLd5bF+fPnwcgLCysxnbh4eG22xkZGS67PsDChQsxm61r\nomsrNlwhNjaW2NhY2/2zZ8+yb98+PvjgA2bMmMGnn35ar12icnJyHB6rWLIlhBBCCOFyigW3tMO4\nx63BEL8eTXEGCpDp1prYxGzisw5SVFxaezeKwpnCZI7nxHIyJ5ZXb3+cDu0jq7WL9A/l0evvctjP\nidR4p8OaCvZCmy7h7YkJr3l5lhBCNDRnwpoKl4Y2Ff455a+0DpLduZpaowQ21113HXfeeSeLFi1i\nwYIF/PDDD0yYMIHevXvj7+9PaWkpiYmJrFu3jmPHjgEQGBjIW2+95dJxFBYWAmAwGGpsV/l4xTmu\n8tVXXwHg5eXF7bffXmPbkJAQrrvuOkaOHEnbtm0JCwsjJyeH7du38+677xIbG8u3335LZmYma9eu\nRaOp/mlRTSq2GxNCCCGEaHCKgu787xjiVmOIW4emKA0FOO/WjgT/ESR49KdAF2xtW0tYExToS3hY\nIIuPruK7P9YCEOYTRGFZcb2GFhPegQeGT+XTbUvrtGV35dDmgeFTGySsURQFo9FIWVkZZrPZVo9R\niKtJaWntAa6wyi3OJyP1PM9efx8AvVp3oU1wJAkJjmvSXBvRg2/vfYvfzl7cGa+bX9saz7lSaTQa\nPDw88PX1rXFVTmNRKY30r37FLlFffFH7Pu8dO3Zk2bJl9OzZ06VjCAgIICcnhxtuuIGNGx0XiCst\nLbWFNjNnzmTBggUuuf6ePXsYNGgQYJ1dM2/evBrbK4ricPlYcXExkydPZsOGDQB88cUXzJ49u07j\ncWbHLnDN/vHioor6TEIIIcQVT1HQZp3EELsGQ/w6tPlJKKhI03cgwaMfiZ79KNQG1tqNSqUiKNCX\niLBAwkID0eutdRYOnT3BobPHGdaxP9EhrZ3+3caRE6nx9Qpd6ntebYxGI/n5+baQRqVSXfZzFKIl\nqusH01e7vOIC8ksKCfD0xdPd+RUrRaXFZBfl4WPwwtfD224bs8VCaXlpnfptqQICAggNDa3TOTk5\nObaJEa54H90oM2zAWuj3888/Z9asWXz44Yf8/PPPpKen247r9Xr69evHHXfcwezZs2udBVMfnp6e\n5OTk1JrQlpSU2G7XZ6mRI5WLDTuzHKqm/5A9PDxYuHAh7dq1o7i4mHnz5tU5sMnOznZ4LDc3t0ot\nHyGEEEJcmRoqpPD4/Vu8jnyFNvc0FlSk6TuSEHAHCR79KNb61dq/2WImPv80x3NieWnaI7QKqv5L\nc5/WMfRpHVPnsTtS39ClocKavLw8VCoVGo0GlUqFWq223RbiaiK76tZNiF5PgI8/2joGXXq9Hh8v\nnxrPKyorQa3VYFTMeLi5X1Hfm4oZjRUheXZ2Nm5ubk06eaHRApsKQ4cOZejQoYA1FMjLy8Pd3Z3A\nwEC02oYdTmBgIMnJybXWpal83FXLhsrKyliyZAkA0dHRDBs27LL7DAkJYeTIkaxZs4a9e/fWOCPH\nHpk1I4QQQlzdPt6yuM7LgOBigd4Hhk/lwZHT7bZRFZ4nrdRAQuBMEj36UKLxrbVftVpFSLA/q079\nzMaE7ZSZy4kOaU1OaR6tqNunnC2Zoijk5+fbwhpvb298fX3R6/US1oirUnNYmiIgtyifgswUNOhR\ngBKVmQ6hrfDQu9d6bkthsVjIz88nNTUVgLS0NLy9vRs8q3Ckaa56gZ+fH35+fo12vc6dO/Pbb79x\n5swZzGazw6l1p0+ftt3u0qWLS679ww8/2Ir8unIr71atWgHWT2EKCgocFnMWQgghhKjsRGo8n25b\nCtRtl6PKuymt2fE117XvSqfW1mXsFouFzKw8zqVmkpY/gPKw/rX2p1GrCQnxJyIskNAQf7RaLfmG\nHLpHt2dox35E+IXU9ym2WBWf8FaENSEhIRLUCCGalKIonMs9X+Uxvc4Ndzd9E42oYajVavz8/DCZ\nTLaJHEVFRfj61v6hQ0No0sCmsfXt25elS5dSWlrK0aNH6d27t912e/bsqXKOK1Qsh1Kr1dxzzz0u\n6RMgMzMTsK7rdOXyLSGEEEJc2WLCO/DChIeqbU19a4+hGGJXYYhbg7o4E4tHECXR4yjpOIHlR3fw\n2Zr/cL97PhP1+fTXlZCVd4wz6a04l5bJubRMLObayyOWmctJLDjDjJHjCA8JRKut+iHaDV0Hu/4J\ntyBlZWWAdXm8r6+vhDVCiCanUqnoENKapOxUikqLUalURAVGoL5C/33y8fGxBTaFhYVXV2BjsVj4\n/fffOXnyJLm5uRgMBiIiIhgwYECDzhCZOHEizz77LADff/+9w8Dm+++/B6xLl7p2vfy951NTU23F\ngUePHm2bFXO5ioqK2LJlCwDdunW7otYPCiGEEKLhXbo19cI1c7nr0L/wLcu82Cg7Fn3ybvQ7Xmdw\niZmH/EuxqHUkGbqzyaM/p8+GYko6Ueu1tFoNRzJP8FvmcRLzzxIT0R69183VwhoBZrPZVrNGr7+y\nPr0WQrRcep0bHUJak1lgXTliuMJm11Tm5uaGRqPBbDZjNBqbbByNGtiUl5fz5ptv8t///rdKweEK\nGo2GyZMn8/LLL7tsKVJlXbp0YeTIkWzZsoX//e9//OUvfyE8PLxKm2XLlvHbb78B8NBDD7nkugsX\nLsRsNgPOFRt21hNPPGErHHzHHXe4rF8hhBBCXD0qQpu3V/2Pb33P4Ftm/xdTrdmEj28PNnv244yh\nJyZ17TULdDotYaEBRIQFEhToR+HBHHr2aM/gDn3xc7ADibi4U6gUGBZCNDcqlYpgn5rrvBaWFmEy\nm/HzbNnlOioCG4vF0mRjaLRtvSu20z548GCtbT08PFi8eDE333yzy8dx4MABBg8eTHl5Od26deOL\nL77gmmuuoby8nG+//ZaHH36YoqIiW70be59qXHvttcTGxuLr60t8fHyt1+zWrRvHjx/H39+f1NRU\npz4pmTNnDqWlpdx8883ExMQQGhqKVqvFaDSye/duXn31VdavX2/rf9++fS7dWcvV25GJi2RbbyGE\nEM3RyXX/4rqEb6s8Vq5y54xHLxI8+nHW0AOzuvbCn2XmMjq1bU14WCBBgb4yA7gecnJyUBQFd3d3\nWrdu3dTDEaLJSdHhlsNsMfPHuUSMZiN+Hj5EBoSi1bTMSiwJCQmUlZWh1+ud3kG5xW7rPX36dFtY\n07NnT+655x769etHYGAgpaWlxMXFsWrVKpYsWUJxcTHTpk3j4MGDLp9p069fPxYsWMA999zDsWPH\nGDRoEO7u7hiNRtssmDZt2rBmzRqHwUpOTg5ZWVmYTKZar7dv3z6OHz8OwIwZM5ye1nrmzBmWLFnC\nf/7zH8CaZPr4+FBYWGgbJ8DgwYP57rvvGmQbdCGEEEJcPYaf3wJYQ5rTHr1I8BzAWUN3LCpdrecW\nlBdyIjeO2LwEwkICmdxtBFq1LHUSQoirzbmc8xjN1pmaucX5FJYV0yWiPRr5P6FeGiWw+eWXX2w1\nXF566SX+/ve/V/u0pX///kyfPp0nn3yS8ePHk5qayj//+U8WL17s8vFMmzaN7t278/rrr7NmzRqy\ns7NRqVS0b9+eadOm8eyzz7qslk5FsWGA2bNnO33e22+/zciRI1m3bh2HDh0iLS2NvLw8wLqd96BB\ng7jrrru47bbb5JMrIYQQQlwWk8lEvDaGxJDbSDJ0x+xESOPu7kZ4WCARYYEsP7qeMV2v4e/t/oRB\nd+XWNBBCCOFYuclITlFelcf8PHwkrLkMjbIk6q9//SsffPABt912G8uWLau1/caNGxkzZgxeXl5k\nZ2ej09X+S8PlKC4uRqfTOX2d3NxcTCYTarXaNt3Jkby8PIxGIyqVisDAwMsaZ35+PgaDocFfD5Al\nUQ1JlkQJIYRoEoqCLuMYJt82KHpvTCYT59KySEvP5nxGDhZL7b8SepkyaaM+h/+QO/H385b6Kg1E\nlkS1DOXl5VgsFjQaTaP8fl5fzXmczo5NlkS1HCXlpSRlpVJSXope60an8HYtdoLBVbMk6uTJkwDM\nnDnTqfajR48mLCyMtLQ0kpOTadeuXUMODw8Pjzq19/Pzc7qtK7f/asgdtIQQQghxZdLkJOARuxpD\n7CqU/DQO9f4HB0qCsZSARlX7p54+xvO0L95P+6L9BJefIW/kKxT7y+8k4spkNpvRaJybDTBixAgO\nHjzIzJkz+fzzzxt4ZPXX3MY5b948vvjiC44ePWrbwn7y5MkNsrJCND6DmzvRYW05n5eJt8GrxYY1\nzUWjBDaFhYUABAcHO31OUFAQaWlpFBQUNNSwhBBCCCGuSOqCVAxxazDErUaVGccZQ08SPMdxNqoH\nphw9KkBTw+QYH+N5OhTto0PxfgLLz1LRNE8fREnH8Y3xFIRoFJs3b2bhwoXs3r2blJQUTCYT/v7+\nhISEEB0dzYgRIxg5ciQ9evSQGWUu8I9//IM33njDdt/NzQ2VSiUzaK4wapWKML+a3/tn5GfjrtPj\nbfBspFG1TI0S2FRMCYqNjWXw4MG1ti8vL+fMmTMAl72MSAghhBDiaqAuycE9fj2GuFWoU49w1tCT\neM/hnI16BJO69royisbC7yl7uN/4C73M8Vz61jTRrGNGqh8zj+6wbQUuREtVWlrKvffey/Lly6s8\nrlaryc7OJjs7m5MnT7Jq1SoA4uPjadWqVZW2er0evV7f7JYZNVfZ2dm8//77AEyZMoV3332X0NDQ\nph2UaBLFZSWcyzkPKAR6+RPuH4JGZuLY1SiBzYABA1i9ejVz587ljjvuqPUftc8//5yCggIiIyOJ\njIxsjCEKIYQQQrQ4KmMR7ok/Yzi1CnXKXpL1XYn37M+ZqNlOhTQ5ZXkUqQoJDw/k5fX/A2ANOr4Y\neAdDyhNRF2dh8Qhkp1s77tt7kBLUvLzqIwAJba5gR5P+oEdU50Y7ryncf//9trBm2LBhPP744/Tt\n25fQ0FCKiorYv38/y5cvZ9GiRRQVFdntY8uWLY044pZvz549tiVQ//jHPySsuUpZLBbOZqUC1rpp\nWYU5lBrL6BDaWmax2dEoMdaMGTPQaDQcOnSISZMmkZqaaredxWLhww8/5LHHHgOcr3kjhBBCCHG1\n8dnxGoFfjiRn17dsL+nCgsi32RDyF+I9B9YY1rjpdRzP/4NM93SGDO5GWGt/W1gD8NSEh+ly4z/I\nuuVLMqb/SNYtX9Llxn/w1ISHbW1eXvURKw5ubNDnJ5rGu2vmMf6t+/l216o6nfftrlWMf+t+3l0z\nr4FG5jpHjhxh6dKlAEyaNImNGzcyfvx4wsPDUavVeHt7M2rUKD744ANOnTrF7NmzpQ6HC6Snp9tu\nXzpbSVw9CkuLKTOWVXksxCdQwhoHGmWGTadOnXjqqad44403WLNmDe3atWP06NH07dsXf39/ysrK\niIuLY/369SQlJQHQoUMH5syZ0xjDE0IIIYRoMcxmC+czcjhSEkNKxOsY1e61nmNwdyM8PIjI8CD8\nfL24UTUQgBUHN/LKhRkzAC9MeMjhzJmKxytm2MhMmyvP0aQ/eH/dfADmLH4TgBmDJ9R63re7Vtna\nv79uPqN7DGnWM202bdpku/3YY4/V+EYxKCiIjz76yO6x2nY4KisrQ1EUtFotWm3Vt10Wi6XeIZC9\nc0tLSwFrTRhXhUt1KcBcE6PRiNlspri42PaYyWSyjRnA3f3iv2M1vW4mkwmLxVJjzZvLeW0dnV/x\nHNRqtdTbuUw+Hl50CG1DUlYq5aZy/D198fHwauphNVuNFhW/9tpr/O1vfwOsfwlXrVrFSy+9xOOP\nP86zzz7L559/bgtrevTowYYNG+q0G5MQQgghxBVFUdClH0VVXojJZObQH3+wcec+1m3aw76DJzlt\nDK4xrClXymnfNoKh1/bkhlH96R7TrspW3CdS422hC9Qc1lSY3Hc0L0x4yHb/5VUfcSI1/jKfqGgu\nekR15o3pz9juz1n8Zq0zbSqHNQBvTH+mWYc1ABkZGbbbl1Mvc8SIEfj6+vLQQw/ZPR4TE4Ovry9/\n//vfATh06BDTpk0jIiICDw8P2rZty0MPPcS5c+dqvdY333zDqFGj8Pf3x8fHh65du/LKK69QVFRE\nZmYmvr6++Pr6smzZsno/n/T0dP7xj38wYMAA/P398fDwIDQ0lPHjx7N06VIURalXv5MnT8bX15fH\nH3/c9lhISIhtzL6+vlXCm0tft19//ZXbbruN0NBQdDodY8aMqdK/xWLh22+/ZcKECQQHB6PVanF3\nd6d79+4899xzVb7fjsTHxzNr1izCwsLQarUEBwdz++23c/jwYcC6YsRgMFS7tqgfL3cPOoW3I8Qn\nkMgAWRpXk0aZYQOgUql4//33mT59Ov/973/ZtGlTlWlxer2e/v37c/fdd3PPPfeg19e+7loIIYQQ\n4kqjzY7HELcat9h1pJZ780vQZApUYbipay9sml9ewHljBuFhQQzv3pdIf8e/CMeEd+CB4VP5dNtS\np8KaCpVn2jwwfCox4R2ce2KiRaiYUVMRwtQ008ZeWOPMjJym5u/vb7t94MABOnXq1ODXXLFiBffc\ncw9lZWWo1WoURSE1NZV58+axfv16tmzZQuvWraudZzabmTVrlm0JF1gLI8fHx/Pyyy+zZs0aFixY\ncNnj++GHH5g9e7Ztd18AjUZDbm4umzZtYtOmTXzzzTd88803eHh41KlvNzc39Ho9ZrMZk8kEUO29\nnqNZTl999RV/+ctfMJlMqNVq9Hp9lRku6enpTJ48md27d9seU6vVlJWVcezYMY4dO8bnn3/OypUr\nGTJkiN1rrF+/nsmTJ1NSUmJ7LDs7m2XLlrF69Wq+++67Oj1f4RyNWk24f4jD44qikJydRqCXHx56\nQyOOrHlp9MWYgwYN4uuvvyYtLY2cnBxOnz5NWloahYWF7NixgwceeEDCGiGEEEJcVTQF5/A69DkB\nS6dQ8sNz7DtdxiLfx1kX+lfKNFE1hjXueh3t2oYz6JpujB7Vnydun8mMYTfVGNZUeHDkdBbd/1ad\nlzVN7juaRfe/xYMjp9fpPNEyzBg8odaZNi01rAEYOXKk7fZzzz3Hjh07GvR6FXVwpk2bxuHDhykq\nKuL8+fO89tprqNVqUlJSePLJJ+2e+8orr9jCmvHjx7N//34KCwvJzMzkyy+/JCkp6bLLSGzcuJHp\n06dTWFjINddcww8//EBWVhbFxcXEx8fz/PPPo9VqWbt2LY888kid+1++fDn5+fm89957tsfOnz9P\nfn6+7cve+7/jx4/z6KOPMn36dI4dO4bRaKS0tJQNGzYAUFJSwpgxY9i9ezfe3t68/fbbnDlzBpPJ\nRHFxMT/++COdOnUiMzOTW265xbaao7KEhARuu+02SkpKCAkJYeHChRQUFFBeXs7+/fsZMmQId999\nd5WJBqJxZBRkk12YS2zaGdJyM7AolqYeUpNotBk29vj5+cmyJyGEEEJcldQl2bjHr8Pt1Boy8so5\n5tmf0x5/ptyr9k+v9XodEWFBRIQHEeDvfVnFGus7Q0Zm1lzZappp05LDGoCBAwcyefJkVqxYQWpq\nKtdffz2dO3dm5MiR9O/fn759+9K1a1eX1YJZs2YNjzzyCO+8847tMV9fX5544gnOnTvHBx98wKpV\nq0hPT6+yc1JaWhpvvfUWADfeeCPLli2zjcnb25s77riDHj16MHjw4HqPrby8nD//+c9YLBZGjx7N\nypUrq9SNadWqFS+88AKtW7fmgQceYNGiRTz66KP06dOn3td01oYNG5g9ezYfffSR3box//73vzly\n5AgeHh5s376dXr162Y4ZDAZuvvlmrr32Wnr37k1KSgqvvPIKn3zySZU+/u///o+ioiL0ej2bNm2i\nR48etmP9+vVjzZo13HDDDWzbtq3hnqioptRYRlpuxVI2hfS8TMwWy1W5fErKnQshhBBCNBJVeSGG\nP37A56cHKF38IIeOJbFYdzdrQ//GKa8hlKsdhzUFxiLOlibjFaljzHUD6NGtPYEBPrKzhqD1X4dX\n+XJk0c4fq7Sbs/gth23HvfmnKqEMWEObie88WOXxR8fczZzFb9r6HPfmnxz2OWfxW1Wuv2jnj3V4\nlq41f/58HnzwQVtR3T/++INPPvmE+++/n379+hEeHs7s2bPZv3//ZV/Lx8eHl156ye6xe+65B7DW\nYdm7d2+VY4sXL8ZoNALw+uuv2w2QevTowd13313vsS1btoyUlBRUKhX/+c9/qhX5rTzO6Oho2zmN\nwc3NjVdeecXuMaPRyP/+Z93d7pFHHqkS1lQWFBRkq53z3XffYbFcnKWRl5dn29r9vvvuqxLWVNDp\ndFWCNtE48ooLqtRM0qg1hPgENOGImk6jz7Axm82cPHmSuLg48vPzMZvNNba/+eabL6sYmBBCCCFE\nbU6kxtdrxkhdzvPa9m9yEn/npHtvEj2mUB7qWes5ep0WvyBvzhvPM6H7tfh6eNd5jEK40qEzx223\n35j+DN1adeSDDZdfQ6Wxubu7M3fuXB5//HEWL17Mpk2bOHDggG0no9zcXBYtWsQ333zDo48+yptv\nvlnvcHT48OF4etr/+x4TE4NKpbLW60hOrnJs165dALRv356YmBiH/U+YMIHPP/+8XmPbvHkzAJ07\nd6Z169aYTKYqb5QrbiuKQr9+/YiLi+PgwYP1ulZdXXvttQ7fB+7fv5/c3FzAOvuoojZO5fFW/Nm3\nb18AcnJySExMpEMH67/Ze/futQViEydOdDiO/v3706pVq2rfH9FwQn2DcNfpSc5Ow2Q2Eekfik5b\nex23K1GjBTZlZWW8+eab/O9//6vTGsB9+/ZJYCOEEEKIBvPxlsV1LrwL1i2xKwrvOqrlYrFYyMzK\n41xqJmlFQygPHllrv246DRHhwUSEBxIY4HvhTWJXp8clREPoHN6OP1ITbff7tOnKjMETOHL2jyYc\n1eVr27Ytzz77LM8++ywWi4XY2Fh27drF0qVL+fnnn1EUhf/85z8EBwfzzDPP1N6hHVFRUQ6PabVa\nDAYDxcXFFBUVVTl29uxZADp27Fhj/5dTNPnUqVMAnDx50mGodKns7Ox6X68uKmb02PPHHxd/7q67\n7jqn+8zKyrIFNqdPn7Y93qVLlxrP69KliwQ2jczXwxtPvYGconz8PH2aejhNplECG7PZzIQJE9i0\naVNjXE4IIYQQwiknUuP5dJu1oGfFFtfOhDYVYQ3Ap9uWMqLzAGLC2qNL/41CrzbsiIvldHIqQZpA\nVErFp/KOPx0sNRWj89IxtGdvAgN8UatlmZNoXiqHNWCdafPtrlV0a1VzmNCSqNVqOnfuTOfOnbn3\n3ntZvHixbcnSm2++yd/+9rd6bY5S2zkVM3cu3Ta7IsCpLUjx8vKq85gq5OXlAdbnrtM5N4OhsZZh\n1vS8KsYNtb++lVXMxAGqBGQN+RqL+tNqtATXsBTKaDKSlJ1GpH8Iet2VuXFRowQ2X375pS2sGT16\nNA8++CC9evXC39+/1mJe3t4y9VcIIYQQDSMmvAMvTHjIFr44E9pUDmsA3rtuEv1P/0ju1pPEqtrw\nu2EAGq0HweogUBx2g0Zt4Zwxk7aRYdzQbRgeenfXPClx1Tn7H+cKot455BbuHHKLU23XPGNdYnNp\ngeE+bbralkXNWfwmb0x/xunrvzH9ad6Y/rRTbZuD6dOn8+2337Ju3ToKCgo4cuQIAwYMaLTrV4QE\nlbfatqegoKDe16h4rzV8+HDWr19f734aQk3BUOX3iEeOHKnXLKPKIUxhYWGNqzry8/Pr3L9oWIqi\nkJSdRkFJIX+UFhHuF0KQt/8VV9etUQKbH3+0FhSbMmUKS5cuveJeRCGEEEK0XBXhTOXQRmsuZ5pn\nMYa4NaiLM7F4BFESPY4lRR68vPYLotTlTNQXMjkimqyUJFZ49KPUZyAAmhqupdOqCQ8LIiI8mKBA\nH5ftQiNEQ3C0G1TlxyvvHnUl6tmzJ+vWrQOqzupoDG3btuXgwYNVlv/Yc/LkyXpfIzo6mv3793Pk\nyBHMZrOtCHNzV3mZ2MGDB+sV2LRv3952+/jx47Rp08Zh2xMnTtS5f9GwsovyKCixhpmKonAuJx2t\nRoO/p28Tj8y1GiWwqVjneP/990tYI4QQQohmp3Jo01Zdzphfn8VPY7zYIDsWffJubrNoiQmLAZ9B\nJHj2Y7um9nX1ispCm8gwIsKDCAr0lZBGtAg1bd1d05bfV5rU1FTb7cpbbjeGIUOGsHz5cs6cOcOR\nI0fo2bOn3XYVH47Xx5gxY1i8eDHZ2dn8+OOPTJ48ud59NaZBgwbh5+dHbm4uX3zxBdOn268jVpOB\nAwfi7u5OaWkpy5cv56abbrLbbteuXVV+DkTzUFhateaTp94DP48rr9ZNo/zG0KpVKwAMBkNjXE4I\nIYQQos4m9x3Nv266j299z9CuUlhjQUWKe2e2BdzF6jZvcrzVYxz3GUVpDWFNubmUHHLwj/LgptGD\n6N2zIyHBtS8FF6I5qCmsqTBj8ATemH6xCO+cxW/y7a5VjTbGy/HBBx/w73//u9alREeOHLFtYR0e\nHk63bt0aY3g206ZNs9VneeaZZ6rUX6mwf/9+Fi1aVO9r3H777baZJY8//jgJCQn17qsx6XQ623bd\nmzZt4r333qtzH15eXkydOhWAr776yu4W7mVlZTzxxBOXN1jRIFoHRhAVGI5apUalUhMVGH5FTg5p\nlN8aJkyw/gO/b9++xricEEIIIUS9TPMspp3GiIKKc/pObA+4g4VR7/BT2DMc9xlFicbxVGud2kJU\nuD99+3Rk4k3DuWfcBIb16IPbVboVqWiZnAlrKrTU0KawsJCXXnqJtm3b8uCDD/L9998THx9Pfn4+\n2dnZHDhwgH/+85+MGjWKkpISAF5++eVGD1yDg4P5+9//DsAvv/zC+PHj2bFjB3l5eSQnJ/Pxxx8z\nfvx4brvttnpfw83Nja+++gq9Xk9qairXXnstr776KkeOHCEvL4/MzEyOHTvGhg0b+Mc//sHAgQP5\n+eefXfUUL8uzzz7LkCFDAHjiiSeYPHky69atIz09nYKCAhISEti1axeffPIJEydOZNasWdX6+Pe/\n/42vry9Go5HRo0fz4YcfkpKSQm5uLj///DOjRo3i9OnTjBo1qpGfnaiNSqUiwMuPzhHtaRMUgV7n\n5rDtpQW9W5JGWRI1ffp05s6dy1tvvcX06dOJiIhojMsKIYQQQjitqKwYY+wejvlPI8GzP0VaxztT\nVNCpLISF+BERFUlwkJ/MoBEt2tGkP5wOayrYWx7VPaojPaI6N9xAL1PFp/CFhYV8+eWXfPnllw7b\nenh48OqrrzJz5szGGl4VTz/9NKdPn2bevHls2bKFLVu2VDk+fPhw/vWvf7FkyRLAGsDU1bXXXsva\ntWu5++67SU5O5l//+hf/+te/XDH8BuXm5sbatWu57777+O6771i5ciUrV6502H7KlCnVHmvVqhWr\nVq1iwoQJ5Obm8vDDD/Pwww/bjnt7e/PDDz/wv//9ryGegnABN62uxg9G8ooLyCrMJSogDF0L/ACl\nUQIbrVbL2rVrGT9+PNdccw1vvPEGkydPliVSQgghhGg6igXl7G5+yTRyMvk83oo3vm6ToZZ6hW6W\nYsJKT6DtM56Ytu3QaCSkEVeGHlGdeezGWby/br5TYU2FyqHNYzfOatZhDVhDkLFjx7Jr1y727NlD\nYmIiGRkZZGVloVar8fPzo0uXLowcOZLp06cTHh5utx+9Xo9er3e4HXZtxyu4u7tjMpnsFvxVq9V8\n9NFHjBs3js8++4zffvuN8vJy2rVrx/Tp03nwwQdJTk62tbe3w64z4xgyZAjHjh1j0aJFrFmzhqNH\nj5KdnY2HhwchISFERkYybNgwxowZ47CWTm20Wq1tiVdNS1ecfd3A+nyXLl3Kr7/+yoIFC9ixYwep\nqakYjUZCQkIIDQ2ld+/ejB071uEsmaFDh3L8+HHefPNN1q5dS1paGsHBwQwfPpxnnnmGLl26SGDT\nQpnMJpKz0zCZTfyRmkhkQCh+Hj4taumUSmnE+UFGo5FbbrmFdevWodVqiYqKwsPDo8ZzlixZ0ujr\nRQXk5OQQEGD9ZDE7Oxt/f/8mHtGV49y5c009BCGEuHopCtrzRyn7Ywsp6fkkuHUlX1d7IVGdpYS2\nxYfpULSPqJJjmFoNIOsWx5/KC3E5cnJyUBQFd3d3Wrdu3ejXP5r0R71Cl/qeJy7P+vXrueUW63bt\nx44dIzo6uolH5Hr1mTnkSlOmTOH7779nxIgR1WY5iebrTEYKucWVt2RX0SWiHXqd3qnzExISKCsr\nQ6/XV9lVrCaufh/dKDNsAH7//XemTJli25bOZDKRmJhY63kV60aFEEIIIepLmx1H+cnNnEvNJFHT\niRy3fuBZyzmWUtoW/0aH4n1ElRxFq1ws+FkQPb6BRyxE06lv6CJhTdOo2CUqICCADh06NPFohGge\nzBYL5WZjlcdCfAOdDmuai0YJbM6fP8/w4cPJyckBrHve9+zZE3//2ndLCA4ObowhCiGEEOIKo8pL\nInXfEvIz8sgwdCPLrTvUshrbZDERWXyEnsV7aF1yBJ1SXq1NolnHhiIDNzfQuIUQwll79uzhq6++\nAqy7SrWkpR5CNCSNWk10aBsy8rNJy8tAr3Uj1DewqYdVZ40S2Lz33nvk5OTg7+/PkiVLGD16dGNc\nVgghhBBXGXVxJpaTG0iIjyVd24EM/bW11qRRKWZKySdfZ+SzvYuJoIhvfc+g0xirtU0065iR14bT\na7/ApHFjcl/5nUYI0XCysrKYNGkSM2bMYMCAAURGRuLl5cXZs2dZuXIl7777LkajET8/P5555pna\nOxTiKqJSqQjxDcTH4IUCqFX2J4soitJsw85GCWwOHjwIwD//+U8Ja4QQQgjhcqWlZeRsmcfZYg/S\n3aPBs02N7VVYCPUwE96uA2ER4aw6+gv/WzUPgNO4sWHQ60zzLMEQtxp1cRYWj0BKosezocjA6bVf\nAPDyqo8AJLQRQjSovXv3snfvXofHAwMDWbZsmezEK4QD7m41L4M6l3Mes8VMhH8oWjvFv5tSowQ2\nZrMZgP79+zfG5YQQQghxFTh17jTmYsjOLCArOx/oCe41nKBYCDUYCWvbnvBWkbi5WXcgWXFwoy18\nAXhhwkPc3Hc0xUBx16rbwN4MmDRutvYS2gghGlJgYCA7duxg6dKl7Nu3j9TUVLKysvDy8qJDhw6M\nGTOGBx54QDYIaWBubm7o9fomL34sXK+wtJjMguwLt4toFRiOj8GriUd1UaMENt26dWPz5s1kZ2c3\nxuWEEEIIcSUyl5Pz+xrWZ6jIyzMT6h7scHqzjWJBbTqPZ3AA/Xtdg7dn1d0pT6TGVwtragtfKo5X\nDm26hLcnJlyKfQohXG/AgAEMGDCgqYdxVfvmm2+aegiiAZgtZpKyLu7ga7ywDXiX8Pa11tptLI0S\n2DzwwAP873//Y/HixUyYMKExLimEEEKIK4HFjCppLxmnDpNUoCNF3xEPlRaPWooHB+qK8QsNJKJd\nR/y9vR22iwnvwAPDp/LptqVOhTUVKoc2DwyfKmGNEEII0cKYzGZUl3zwExUY3mzCGmjEGTb//e9/\nefjhh+nfvz+PPfZYY1xWCCGEEC2RoqBK/Y3MP/aRnKuQ5NYJi6qW5U6Ar48nkcFeRLRuhYehlsaV\nPDhyOiM6D6hz6DK572iZWSOEEEK0UHqdG53C2pKWl0lGfhaB3v54u3s29bCqaJTAZu/evURHRzNn\nzhyeeuopFi1axNSpU+ncuTMeHh41nnvNNdfgXcMnY0IIIYS4MhQkHeTMwU2Ulntw3tAVk7or1Fwn\nkAJTAR3atKJ7dAe8PGuZdlOD+oYuEtYIIYQQLZdarSbCPwRfD2/cdY5/6Sg3GXHT6hpxZFaNEtj8\n5S9/4cCBA7b7+/fvZ//+/U6du2/fPilWLIQQQlypcs6Se3w7CWl5pOk7Y9INgVp+H/JQ8ihxV9Gn\nR19ahYQ2zjiFEEIIccXy1Dv+0MeiWLj5rQe4tmMf5tzyAAY352fxXq5GCWyEEEII0bKcSI2v1+wR\nZ86zWCxkZOaRue8nkpRwytVtoZbJMV4U0SrIQGinnvj4+qBSqeo8NiGEEEKIuopNPc1vZ07w25kT\nbP59J3Pv+Qd923XjyNmT9GzdpUGv3SiBzZIlSygpKanXudHR0S4ejRBCCCFq8vGWxXUuwgsXt8d+\nYPhUHhw5vcqx4rJSdhw7hJ/Kj6zMfIxGE6g6QA25i0EpoHWAntBOPfENCJCQRgghhBCNqtxk5FTq\nadv92LQzfLp5MR1CW/PO6i94567nuHPoxAa7fqMENh06yPpuIYQQoiU4kRrPp9uWAhe3rXYmtKkI\nawA+3bbUWsQ3MJTYX5ezPdcTg+KDp86DNLJr7EdrysNNlU2rmD507jBYQhohhBBCNBlFUXB3u1jb\nJsjbnzuH3sLt7z8KwJNfvwbQYKFN89mvSgghhBBNLia8Ay9MeMh2/+VVH7Hi4MYaz6kc1rhh4aNB\nY9Ae3s6m9Vs5UdiBIG0YnjrHmwy4KyVEexUwsEc4N918EzfcfBddortJWCOEEEKIJqXXuTGy6zXc\nMeRmAN6681mGdRnAO3c9Z2vz5NevsWjHDw1yfalhI4QQQogqKmbUVIQwL6/6CK25nGmexRji1qAu\nzsTiEURJ9DiWFHnw6trPGe/jw5DAjuh8e5FuCiAdQOP4GjqdlvCwQCKDvQgMCUWtlnBGCCGEEM2P\nTqPl3Zl/Z/bI2+ke1Qm4OKOmYobNk1+/RpmxnMm9b3DptSWwEUIIIUQ1lUObtupyxvz6LH4ao+24\nkh1LYXoSXT0G8nqvuynShVAOlNfQZ5m5nFJNMQO7dqNj69ao1TLRVwghhBAtQ0VYU+HS0Ob/lrzD\n5oM7XXrNqzqwOXjwIKtXryY5ORm9Xk/Hjh257bbbiIiIuKx+ly1bxsqVK+t0zjvvvENoqOOtSRtq\nrEIIIYQjk/uORmu2hjXtLoQ1Obpw4jwHEO8xgFy32v8P0iplBKjOo4S2ol/PobjpatmzWwghhBCi\nhbhz6EQsisLTi14HYOPvO1za/1UZ2GRmZjJ79mx++umnaseeeOIJXnjhBV544YV6r50/fPgwixYt\nqtM5b731VpOMVQghhKjJNM9iFPcg9nv0J8GzP9lurWo9R6OUE6nNISIqioBOA9FqJaQRQgghxJWp\nzFjWYH1fdYFNcXExN910E/v370elUjFt2jRGjBhBUVER3377LQcOHODFF1+kqKiIN954o17XuP32\n2+nSpeb92M+ePcvf//53AIYOHUp4eHiTjFUIIYS4lKIoHEk8xW+xsbQxupMX+Uqt56gVI6GqdFq3\niiSwy2C0lXZUEEKIK9HOnTvJzc0lKiqKnj17NvVwHGqO48zJyeH48ePk5+djsVgIDw+nb9++TT0s\nIeol3D+EAE9fsovyXN63SlEUxeW9NmPPP/88//73vwGYP38+99xzj+2Y2WzmjjvuYOlS63amv/76\nK9dcc02DjOOll17ixRdfBOCLL75g9uzZzWqsOTk5BAQEAJCdnY2/v7/L+r7anTt3rqmHIIQQ1VlM\nlCTs4/ixAxxT2uHn5lfrKWrFRGTJcaKL9hHhlkfBjO8bfpxCXAVycnKsW8m6u9O6deumHs5VISEh\ngZSUFEpLSwkODiYkJITQ0FA0GsfV06+99loOHjzIzJkz+fzzzxtxtHXTnMaZm5vLI488wvfff4/F\nYrE9PnnyZBYvXuzwPDc3t8YYnhBVJCQkUFZWhl6vp3379jW2zcjP4plFb7J23y+kf7kPcM376Ktq\nhk1hYSHvv/8+AOPGjasSgABoNBo++eQT1q5dS0FBAS+//DKrVq1qkLEsWLAAAE9PT6ZOndqsxyqE\nEOIKZS6nNH4PaacTOFvqTa42FHR98KvhFJViJqL0JNFF+2hXfBB3SxEAZf7XNsqQhRDCVfLz83nj\njTdYuHAh6enp1Y57e3szdOhQRowYwUMPPYS7u3sTjPLKMnv2bFavXg1At27daNWqFWq1mn79+jXx\nyIS4PME+gVzffTCr9252ab9XVWCzZs0aioqsv1g+8MADdtv4+flx++23M2/ePDZs2EBeXh6+vr4u\nHcf27duJj48HYMqUKXh5eTXbsQohhLiyWMqLSTr0E0pOIWfL/MjVhQHRNf5GoFLMRJaepH3RftoV\nH8RgKazWpiR6fMMNWgghXCw+Pp4bb7yRs2fPAuDu7k67du0IDw+noKCAY8eOUVBQwNq1a1m7di23\n3347rVpVreE1ZMgQQkNDm80yo+YuMTHRFtb8+9//5qmnnmriEQnhOot2/MBTi15zeb9XVWCzZcsW\nAFQqFcOHD3fYbtSoUcybNw+j0cjOnTsZN26cS8cxf/582+17773XbpvmMlYhhBBXgPJCzh78iYzk\nFAq0bcmvKBxcQy1gi2Ihx5xLKXnclfRfOqtyHbZNNOvYUGTgZteOWgghGoTZbGbGjBmcPXsWjUbD\n//3f//Hwww9XWbpQVlbG2rVrmTt3Lrt27bLbz9tvv91YQ74iHDp0yHZ7+vTpTTgSIVxr0Y4fbFt7\nu5q6QXptpo4dOwZAeHh4jWvJYmJibLePHz/u0jEUFxfz3XffAdChQweHYUxzGKsQQoiWSzGVU3Z0\nDafXfMK2tes5nN2aFI9ryXerXuS+gkoxE6E6T7RvNsOHxuDXyp3PDi/nnpwgEs32051Es44ZeW14\nce0XrDi4saGejhBCuMzPP//Mb7/9BsCcOXN4/vnnq/2+rdfrmTRpEr/88gtff/01Hh4eTTHUK0pO\nTo7tdmBgYBOOpPnZs2cPq1atIi4urqmHIuro0rDmlamPu7T/JplhYzKZSElJIT8/H7PZXGPbzp07\nYzAYXHLd5ORkACIjI2tsV3m6Y1JSkkuuXeH777+noKAAgFmzZjncjrsxxlr5H81L5ebm1qkvIYQQ\nTU9RFPILijmXmsm51EyKin35f/buO7zJ6u/j+DvpSBfdk112GWXIFChQhrJUEBUFRFEQxD3Ahc9P\nEHGAiqgoKnuJ7L1H2QXKKNCyWiiddO+d+/mjNrY06aIL+L6uKxdpzrnvc+4QSvLJGWBT7EgalZKL\nm1Ectd0ccGzWEVPzvA8lG/z2MGPrfABuak3Z3fVrnrNMx/z6NtRpsWgtHEhvMpjdqebc3PEXgK7+\nsA79K/U6hRDiXpw6dUp3f8SIESXWf+aZZ/Q+XtLuS/v37yc9PZ1GjRrpvmTNzMwkMDCQmJgYateu\nXejL15IkJiZy+fJlsrKyaNiwIQ0aNAAgOzub3bt3A9C+fXtq165d6nPqc+fOHYKCgkhOTsbBwYFW\nrVqh0ZR/579Tp05x584dXUgGsHv3boyN//soOnDgQNTqvLEE+p63rKwsrly5Qnh4ONbW1nTrVnTd\ntOzsbC5fvkx0dDQajYYmTZro3YnXEEVRuHTpEpGRkTg5OeHh4aFb7PjMmTNERETg4OCgt+179emn\nn7Jv3z5mzJjBZ599VuHnv379OoGBgRgbG/P444/rHr958yZBQUGYm5vj6emJpaVlqc8ZHR3NtWvX\nSE1NxdHRkVatWpW4OLShfoSEhBAcHExycjJ9+vTB0tKSnTt3kpOTQ4sWLWjSpAmQt85rYGAgqamp\nNG/eHFdXV73thISEEBQUhEajoX379pW2/tTdYc2c0R8zqJUXr1VgG1Ua2Gzfvp0ff/yRw4cPk5GR\nUapjTp06RceOHSuk/fygpKQXYsHylJSi8/TvxZIlSwBQq9VFFhIuqCr6mr8LlBBCiPuXkpGMX+ht\nLl6/gTrDGBtT6xKPUSm5mGXeoknD+tRp2QXTu97IFAxrAKYNmcTQDv1JA9JaFv5wMxTIMTLV1ZfQ\nRogHUHYaav91qC9tgNRosHRC22oY2jZPg8n9N/Ik/3025H1IL68PPvig2N2XXn31VcLCwnjnnXf4\n5ptv+Pnnn/n666+Jjo7W1XF3d2fu3Lk89thjBtuJiYnho48+4u+//yYrK0v3ePfu3fn5559xdnZm\n+PDhACxbtkzvhialsWXLFr755htOnz5d6HkxNzdn5MiRfPHFF7i4uJT5vF988QV79hQegXl3HxMT\nE3Ufqgs+b19//TWzZ89m7ty5uuetV69euuUjIO/D+RdffMGaNWuKfB7q2LEjX375ZbHPL+Q9b59+\n+mmhL8BdXFyYNm0akydPZtasWaxbt65I2/eL1atXM23aNCwtLUlJSeHixYtMnDiRo0eP6upoNBom\nTZrEt99+i4mJ4W96Dh48yLRp0zh69Gih14mlpSXPP/88M2bMMBik3N0PX19f3n77bU6cOKGrExAQ\nQIsWLRgxYgSpqanMmDGDjz/+mGnTpjFv3jzd37FKpeL5559n/vz5WFvnvfc5e/Ysb7/9NocPH9ad\nr1atWsycOZM333yzfE+eAfrCmlE9nix2UER5VFlg8/HHH/P1119XVXN6ZWZmAhT7AoTC28blH1MR\nbt++zYEDBwDo27cv9erVM1i3uvsqhBCi5lIlR5B55RDhEdEEa+uQbOKCHfZQzBdbKiWXWrkRqGsZ\n06ZjX+xq6Z+SGxBxo0hYU1L4kl9eMLRp4dYID7fGZbwyIUSNExeEyYrnUMUHF3gwAHWwD8rRn8ge\n9TfYF7/dbU1TcIT61q1bad26daW3OXXqVH788Ufq1KlDnz59SEpK4uzZswQHBzN8+HB27Nihd6mE\nO3fu0K9fP65cuQLkhQgtW7YkJSWFkydP0qdPH9atW3dPfVMUhXfffZf58/N+h5uZmeHp6Ym1tTUh\nISFcvXqVRYsWsXfvXnbt2kXjxmX73d65c2eMjY25ffs2Fy9eBOCxxx7TjagBDG6fPnHiRBYvXkzt\n2rXp168fGo2GNm3a6Mp9fHx46qmndB+SmzZtSsOGDUlNTcXPz4/Tp08zcOBAfvjhB95++229bfzf\n//0f06dPB8DY2JhHHnkES0tLLly4wBtvvFEoYHsQ+Pn50adPHzIzM+nWrRsWFhb4+fkRHx/Pjz/+\nSGxsrG5H47v9+uuvvPnmm2i1WlQqFe3bt8fBwYErV65w+/Zt/vzzT3bu3MmePXto0aJFsf3w8fHh\nscceQ1EUunXrphtMoG9DnhdeeIE1a9bQrFkzGjRoQHBwMNevX2flypVERUWxZ88eTpw4wWOPPUZ2\ndjbdu3fH1NQUX19fkpOTeeuttzA3N+fVV1+99ycQuBASqDesqQxVEtgcOnRIF9Y4Ozszbtw4OnXq\nhIODg8F/nPlK+osuC0tLS5KSkkoMNgqO/inLsLCSLFmyBK1WC+RtaVecquhrXFycwbKEhIQS95oX\nQghRddSJt0m/coiIiBhuUp8kk3pgVA+K+W9UpVLhZpyAWx0XnJp4Ympa/JcAAB5ujZng9SwLfNaU\nKqzJVzC0meD1rIQ1QjwIstP0hDX/UcUHY7LiObInHrqvRtoMHjyYKVOmkJOTw5dffklWVhbjxo0r\nsgtURdm7dy83btxg8eLFPP/887rH/fz8GDx4MHFxcbz//vuFpmrle+ONN7hy5QoqlYpvv/2WN954\nQxd0hIaGMmbMGCZPnnxP/ZszZ44urPnggw+YOnWqbsQC5E39GjNmDLdv32bUqFEcP37c4LIO+nz+\n+ecALFiwQDfKYc2aNSVOU9m1axdBQUEsXLhQ71ISN2/e1IU17du3Z+HChbRr105XHhcXx+TJk1m9\nejXvvfcenTp14tFHHy10jr179+rCmu7du7N69Wrd6yAnJ4dZs2Yxffr0B+ZzUW5uLiNHjmTgwIH8\n+uuvupAkLS2N0aNHs2HDBpYtW8brr79O165dCx17+PBhXVjj6enJmjVraN68OZAX+i1btozx48cT\nGhrK8OHD8fPzM/h3nJuby0svvcTgwYP5/fffi13TaNWqVURERLBnzx769eune/y7775jypQp7Nu3\nj9WrV/PZZ5/h7e3NX3/9pTtffuDp7+/PRx99xIsvvljitK3S8KzfgvcHv8KcbX9ValgDVRTYLFu2\nDICWLVvi4+NTbYtMWVtbExERQWJiYrH1CpYX/GV1r/KTSltbW5566qli61ZFX4tbzFgIIUT1U8fe\nIOzsFuLj0rijaUGSiTuYuBd7TK42Fxdne+rWdsbVxR5Tk7L/Vz+x90h6Ne9U5tBlWIf+MrJGiGpg\nOt2xXMdp3TzJGb9fb5nxH96oIy6UeA5VfDCms+oXeizr8xi9dY22vouR37JS9c3QOSpCw4YNmT59\nOp988gnZ2dnMnDmTmTNn0rRpUzp27Ej79u159NFHeeSRRwqNAimvixcv8ueffxYKawA6dOjAJ598\nwgcffMCFCxcIDAws9GW1v78/mzZtAuD999/nrbfeKnR83bp12bBhwz1tKx4dHc2XX34J5IU1M2fO\nLFKne/furFmzhh49enD27Fm2bt3K0KGVvy9gQEAAc+fOZdSoUXoDok8//ZT4+Hjq16/PgQMHsLGx\nKVRub2/P8uXLCQ4O5uTJk3z55Zds3769UJ3/+7//A8DV1ZVt27YVOoexsTHTpk0jIiJCF2jd7zIy\nMnB2dmblypWFXtsWFhb89ddf7Nq1i7S0NFavXl0ksPn000/RarXY2Niwc+fOQusDqVQqXnzxRZKS\nknjzzTcJCAhgyZIlvPaa/tVcMjIysLW15e+//y5xAMfly5fZvn17obAG4MMPP2TFihWcP3+el156\niWbNmvHPP/8UmqHi7OzMnDlzGDBgALGxsezbt4+BAweW+vkqzodDx/NY25541q+4ASb6VMkuUdeu\nXQPgk08+qdYVwfOH74WEhBRbr2B5WYf8GXL06FHd8/D888+XmChXZ1+FEEIULyDiRuUcpygYxQSS\ndexPAv6eyf4jFziV1YnrVr1IMjG8boBKySE2Jw5je4U+vdvzaOfW1K/rXK6wJl95QxcJa4QQ94P3\n33+/0AgByPvMsmrVKqZMmUKPHj1o0qQJs2fPvudlB+rXr8+oUaP0lj3xxBO6+wUX5QV0O8saGxvz\nzjvv6D3e1tbW4Ifi0lixYgXp6emYmZkxdepUg/U6duyo+wC/Y8eOcrdXFvb29rzyyit6y5KSkliz\nZg2Q93d5d1iTz8jISDcCaf/+/YVmJ4SGhuq2bH/jjTcMnuOTTz6pkOCupvj444/1Xo+dnZ1uWl7B\nLdgBwsPDdevCjB8/3uBizhMnTtStX7Nq1api+/H++++XGNYAtGnTxmDIkr82UVZWFu+9957e5UT6\n9OmjG1Vz7ty5Etsri8oOa6CKRtjkrype3UPJ2rRpw/bt24mPj+fmzZs0bNhQbz0/P79Cx1SExYsX\n6+6//PLLJdavzr4KIYQw7LeDq8s8XQj+W8h3gtezTOw9slCZoigkhwcRd3IdN42akmTiAbWK3zlE\nreTiZpaGa/2GODZohKYChvgKIcTD5Mknn+TJJ5/E19eXvXv34uvri7+/v2631rCwMD799FM2bNjA\n9u3bDX6gL8mjjz5q8AN/gwYNMDIyIjc3lzt37hQqO3PmDACtWrXCycnJ4Pl79+6tm9ZTVkeOHAHA\nzc2N48ePA4UXYs6/ryiK7jPd1atXy9VWWXXt2tXgep7Hjh0jJydH17edO3fq7t/9Z/7zmpmZSXBw\nsG7nqYJT0Pr27WuwH3Xr1qV58+YEBASU+1qys7PZtWuXwfKYmLwRZVeuXGHr1q1661hbW+td56is\nijtH/uf1u1+LJ0+e1N3v39/wex9jY2O8vb1ZuXIlvr6+KIpicPpc7969S9Xfnj17GiwruCasoXrG\nxsa4ublx69atItd1P6iSwKZt27bs2bOH8PDwqmjOoIEDB/LNN98AsHPnTiZOnKi3Xv4/eDs7O7p0\n6XLP7aanp+sS4FatWtGpU6ca21chhBCGBUTcYIFP3u/zsuyGVHDXpQU+a+jVvBPNXBoSGHITMoyI\niIghLT0TzLoXex61koubeQYu9Rvi0qARJvcwgkYIIUSezp0707lzZ93Pt27d4p9//mHOnDnExcVx\n+vRp3nnnHRYtWlSu8xcXtkDeIr+pqalFRvJERUUBFLtRSWnKi5MfTgUHBxca7VOchISEcrdXFsVd\nV8HdnAyNPtKnYN8jIyN19/O3SDekQYMG9xTYJCYmlmoa2fLly1m+fLneslatWukWbS4vMzMzatWq\nZbDc3NwcoMiOzvmvRcDgQIJ8+aFPeno6SUlJeoNOIyMj6tSpU6o+Ozs7GywrOGuluH9n+fVKu1N1\nTVIl7/QmTpzIvHnzWLFiBU8//XRVNKlXjx49aNiwITdv3uSnn37ilVdeKZLaXrp0SReCjBw5EmPj\ne3+K1q9fT1JSElDyYsPV3VchhBCGebg1ZtqQSUW2sB7epgfm17Zifn076rQYtBaOpDcZRHrTIaz3\nP8KMrfNRo9DVJI1nmvfk5LlLnMm8hrWp4TdN+VTaHMgOw9zZiR4dvTD79xtOIYTIVxnrveSM34/a\nbxnGW98tue7QH9G2H11ivdwhP5A75IeK6F6latCgAR988AFDhgyhW7duujU95syZo1uktSxKM+0D\nim4xnp2dDZS8a2xJ5cVJT08H8naf6tChQ6mOqV+/fsmVKkB+eKBPfr8B3e5RpVEwPMh/fqFsO/OW\nh6mpKYMHDzZYfvLkSWJiYmjevDlNmjTRW6ekUKk0yvtaLLidfEnPRWl2MS5peZCCStvn0tS7+7ru\nB1XyCb9x48YsXLiQF198kW+++YYpU6aUaWXximJkZMSXX37J6NGjCQgIYMKECfz222+6f+AhISE8\n++yzaLVaLC0t+eyzz/SeZ8qUKYSHh2Npacnvv/9eYrv506GMjY0ZPbrk/8wqsq9CCCEq1t1bWC/b\nPpfRZ7/AJrPAB6a4a2hCj6M6PpcrMSZ87ehIfVsPIiw7kGjihL1CsVtwq5Vc3Cyzyba2oFWLjtSy\n6FWJVySEEPpp2zyNcvQng7tEASh27mhbD6/CXlWdFi1aMGzYMFasWIFWq+XSpUvFTs+oaLa2tgC6\nLasNKW7n15LkB1ANGzZk48aN5T5PVSsYnM2ePZu2bduW+Rz5zy9AbGwsjo6GF+/On7JUXtbW1gan\nOkFe6LRv3z5Gjx5dIz/XFdysJiYmpthRNgW3QZdNbu5dlQQ2vr6+ODs78+mnn/Lpp5+yZs0annvu\nOVq0aIGFRfFbAHbp0qXYYVtlNWrUKI4cOcJvv/3G4sWL2bFjB926dSM1NZVDhw6RlZWFkZERK1eu\npHbt2nrPsXnzZq5cuYKNjU2JgU1oaCj79+etvj948OBih3RVRl+FEEJUvPzQZvbWX1hlcwubzOxC\n5Qpwx9SdIItOdPZ4hBRjR0qa8a9Wq3B2tKWOkxXOtWvLdCchRPUzsSB71N8Gt/ZW7NzJHvX3fbWl\nd1kVnJaTv2ZKVfHw8ODEiRNcuHCB3NxcgyMI7l4gtiw8PT05duwY586dIyUlBSsrq3KfqyoV3L7b\nx8enXIFNy5YtdffPnDlTaAHqgrKysvD39y/z+R8krVq10t339fWlY8eOBuv6+voC0Lx583sa/SXy\nVMm7wddff123aBbkLZRbcLHc4pw6darYF0R5/Prrr7Ru3Zovv/ySyMjIQmly+/bt+fnnn3n00Ucr\npK2lS5ei1WqB0i02XJ19FUIIUXrDOvTH484x3IMCAVBQcUfjzg2LjgRZdiTFuORdEXO0OSSTTN/2\nnXF1sZeprUKImse+EdkTD6G+uB71xfWQGgOWjmhbD88bWXMfhjUxMTHFjqYoqGAYUtLaHRWtb9++\nLFq0iLi4OLZv325wDZRly0q3Vbo+Tz75JL/99huZmZn8+uuvTJkypdznqkqtW7emadOmXLt2jXnz\n5jFhwoRST4vK165dO5ydnblz5w6LFy/mhRde0Ftv7dq1JCcnV0S371tt27bF1dWVyMhIFi5cyKRJ\nk/TOmDl//rxugeL8HZzEvXlw9icrA5VKxeTJkwkNDcXX15d169axdetWrl69ip+fX4kByHfffcey\nZctYsGBBiW116dKFZcuWsXz58mLnLVZWX4UQQlQOdXIE3WOOE2LeGh/70Syr+x0b3D7lgs1jxYY1\nRuRCbiQaJxX9+3Zi7JAh1K3jLGGNEKLmMrFA2340OWPWkzPRh5wx6/PWrLkPwxqAP/74g379+rF3\n795i17T4888/dTv7dOjQAXd396rqIpC35Xf+wqwffPABERERRer8/vvvut2dysPb21u3W8/06dNZ\nu3ZtsfWjo6NLnKJVVWbMmAHkbcf+wgsvkJqaarBuTk4OQUFBhR4zNjbm9ddfB2DPnj389ttvRY4L\nDg7mgw8+KHMY9KAxMjLi7bffBvJGI33xxRdF6iQkJPDSSy8BeevYvPnmm1XZxQdWlbw7/Pvvvwst\nDFUWhhZdqghGRkZ06tSpVLs2FVSaFb7zFbdFXFmUt69CCCEqVnZ2DlF34rlz6xZRth+QrTa8KGI+\nIyUbV2tjXN0b4+LqjLFx6RbQE0IIUTkOHz7M4cOHadCgAf369aN9+/Y4OTmRk5NDcHAwW7Zs0Y0U\nsLS0ZN68eVXeR41Gw88//8zTTz/NzZs36dixI6+99hpt2rQhOTmZrVu3smnTJqZPn87nn38OUK51\nQpcsWUKvXr24efMmo0aN4rfffmPw4ME0bNiQ7OxsIiMjCQ8P58iRI5w5c4atW7dW2Gece/Hcc89x\n8uRJfvjhB9avX8+xY8cYNWoU7du3x8LCgujoaCIjI/H392fPnj3069evSCA1depU1q1bh7+/P5Mm\nTWL37t08+eSTWFpa4ufnx6+//kqzZs3o0qXLfbXGT2X44IMP2Lp1K0ePHuWLL77gyJEjjBw5Ent7\newIDA5k/f75u17HZs2dX6uf4h0mVLToshBBC3FcUBeP4GyjaHC6mm+B39QrqTGOsVFb/fSNbTFhj\nrM2kfro/jVJP42pvRlLPP6qo40IIIYpTr1497O3tiYuL49atW/z1118G63bs2JGff/6Z9u3bV2EP\n/zNo0CAWLVrEG2+8QUxMDDNnzixU/vHHHzN27FhdYFOW3Xfyubq6cuzYMd5++23WrVunC7P0cXZ2\nLtdOWZXl+++/p0WLFnz22WdERkYyZ84cvfVMTEz0fiY1MzNj7969DB8+nKNHj7JhwwY2bNigK/f0\n9GTDhg260SUPM2NjY3bt2sX48eNZtWoV+/btY9++fYXqWFtbM3v2bMaPH19NvXzwyPhrIYQQ4l+q\n7HRMw06iueVDatgVQpQ6+Ft0JFNTh1rkbQVa3PB5Y20G9dMv0ij1FA3S/TFR8razTOj8ZZX0Xwgh\nRMlGjx7NqFGjCAwM5OTJkwQHBxMdHU1sbCxqtRpbW1tatGhBnz598PT0NHie7t274+LiYrCOt7c3\nMTExeHh4FNufxx57jPT0dINfco8cOZLevXuzevVqzp8/T1ZWFu7u7jz//PO0atWKwMBAXd2C21aX\ntp8ADg4OLF++nC+++IKdO3fi7+9PXFwcFhYWODs7U6dOHby8vGjXrl25d/utX78+AwcOBIrfgrm0\nz1u+CRMmMGbMGHbs2MGRI0eIiIggOzsbZ2dnXFxcaNeuHd7e3gY3snF2dubw4cNs27aNHTt2EBkZ\niZOTE15eXjzzzDNVsnBu165dMTMzo2nTppVy/qZNmzJ48OBit0qHvIWYBw8ejIuLi95yS0tLVq5c\nyccff8ymTZu4cuUKqampODo60rlzZ4YPH15soFfafgAMHDiQ9PT0Yp+T+vXr65YdKW5qeZ8+fWjS\npEmx/wZqKpVyP25GLipdfHy87h9bXFycbMlWgcLDw6u7C0KIAowSQzC7dQiTkMPExcRz06w1Ny3a\nkWJcugUpzXKTcE/zo2HaOepkBGCsFN5FJFHjSNqLe1BMSn5zIoQQkPc+TFEUzMzMqF+/fnV3R9Rw\na9asYcyYMQCEhIQY/LB9PzM1Na3W9keMGMG6devo1asXBw8erNa+iKoTFBREZmYmGo2GRo0aleqY\niv4cLSNshBBCPFxys9CEn0Jzywcl+Ah3cm25aNGeEPMRZDpbluoUVlbmuDrbcyXhBr/tzdvau4FR\ndpF6wbkmPB9hyxj/I7qtwIUQQoiKtHTpUiBv7c8HMawR4mFWoYHN7t27iYuLA/KG9uWnSQUfL6uC\n5xFCCCHKy+z6TsyvbiY3/DIhps0ItmhPmP2HaFUlD3VWFIXE3CRq2ZrzSPMW1HdxY4PfHmbsng+Y\n4h3fmL86d6B7VjDqtFi0Fg4cNXXnFV8/0lEzY+t8AAlthBBClEl2djaJiYkGtyGfO3cue/bsAWDc\nuHFV2TUhRBWo0MDmk08+4cyZMwCcOnWKjh07Fnm8rAqeRwghhCgrRVFISU0n5GY04ZlduVN7VKmO\nU6sUnB1scXZ1wNbOCtsCc983+O3RhTAAHwyZTIsO/YktcHwL4APn/+pJaCOEEKKsEhMTadSoEQMG\nDKBTp07UqVMHKysrbt26xaZNmzh69CgArVu35o033qjm3gohKppMiRJCCPFAUKdFowk5TEZDb2Jz\n4Mils5hrLVFnGpGalgE0Ak3x5zA1VuHi4oiriwNOjrZ6t9++O6yZNmSSwRAm/3EJbYQQQpSHqakp\n1tbWbNmyhS1btuit069fP5YsWYJGU8J/ckKI+06FBjb79u0jOztvDr+tra3ex8uq4HmEEELcPwIi\nbuDhpn/Hiwo5TpuLSfRFzG4dQnPrEOqYq4SatWSTfxw5pg2wNLEgnWyg+P9/0nJSMbJU07pJY5rX\na4habXj3i4CIG6UOa/LpC21auDUq13MjhBDi4WJtbc2NGzfYv38/p06dIiIigtjYWKysrGjcuDGP\nPfaYzEaoAh07diQjI4M2bdpUd1fEQ0Z2iRJ6yS5RlUd2iRIPg98OrmaBz5pSBRoF5Y9emeD1LBN7\njyxSrsqIx+z2UTS3fNCEHCYrK5tbFm25ad6OUPNW5KhL9+2irY0V9g61sLOvRW0nxzJtUVpZ1yaE\nEPlklyghCqvuXaLEw0l2iRJCCPHACYi4wQKfNUDZpgAVnGq0wGcNvZp3wsO1EcYxAZjd8sEs5BAm\nUedJMnLgmkV7btpOIFLTBEWlLvHcKpUKRwcbXF3scXWxx9ys/MPGJ/Yemde3Mo6QGdahv4ysEUII\nIYQQpSaBjRBCiArl4daYaUMmFVm3ZXibHphf24r59e2o02LQWjiS3mQQ6U2HsN7/SKGpRtMHvkzX\ngIWY7fJBnRbDHdOGBFi046bbMOJN65SqH1naLHJMsmnp3ggP94aYmFTcf3nlDV0krBFCCCGEEKUl\ngY0QQogKd/e6Lcu2z2X02S+wyYz5r1LcNTShx1Edn8uyCFsgb7jztCGTGOjpTfSajYSYPcZN+3ak\nGZduOKmZmSnWthbYOljSrF591OqSR98IIYQQQghRE0lgI4QQolLkhzazt/7CKptb2GTqX/zXJjOG\nVTaJDExqycSe46inqseu/afIsR1Xqnasa1ng6uKAq4s9NtaWZVqPRgghhBBCiJpKAhshhBCVZliH\n/njcOYZ7UKDe8mQje25ZtCPYoj1vN2qOKsWI8JTYYs+pVbRkqDJo3rA+zRo2wNLCrDK6LoQQQggh\nRLWSwEYIIUSlMEq8jSb0GL0iduseU4BY03rcNG/HTYv2xGga6MqKGxdjZKTGzMoEW3srWjdqhEYj\nu0UIIYQQQogHmwQ2QgghKoQ6PQ7T0BNoQo+jCT2GcXIYAFkqM25ZdCDEvA0h5m1KvR6NxtREt6uT\no4MtRkayHo0QQgghhHh4SGAjhBDinllcWo3tof8BeaNo4k1qE2L9GCHmbYg0a4pWVbr/bjKUDJrU\nr0vDurWxs7WS9WiEEEIIIcRDSwIbIYQQpaPNybsZF10zJt2uBQnmbfNG0Vh4kmLsULpzKlpcM2/Q\nMO0sdm16YdJ2eAV3WgghhBBCiPtTlQQ2S5YsISIigpdeeglXV9eqaFIIIcS9UhSM44PQhB7DNPQ4\nmnBfkju/Rarni4TERXDp1g2a2zYiKjqe2Ng0tC5vleq0xtoM6mYE0CDtHA3SLmChTSJR40hay69R\nKvmShBBCCCGEuF9USWDz888/c/r0afr16yeBjRBC1GDqlKi8NWjCjqMJPY5R6h1dWY7KhAsXT7Hm\nUg5uGmfszey4GBFcqvMmZMTQNuMcbTLO4ZZxDSNydGXBuSY8H2HLGP8juq3AhRBCCCGEeNhVSWDj\n6OgIgFarrYrmhBBClJIqMxnT8FNoQo+hCT2OSfyNQuVJxo66xYLDzVqQo9bQqhTnVavVaE1zSNIm\nsej0WuKzEjFHy1+dO+CUZYs2LRathQNHTd15xdePdNTM2DofQEIbIYQQQgghqKLAplWrVuzcuZPb\nt2/TuXPnqmhSCCGEIYqWWqd+RnP7KCZ3LqJScnVFuRgRYdZMF9IkmNYu9WktLMxwcbLD2ckORwdr\nNp/fz/db/9KVfzBkMi069Ce2wDEtgA+c9+jCGglthBBCiJph+fLl+Pv706hRI1577bVCZfv372fX\nrl1oNBqmT59eTT2sWkuXLuXChQs0btyYSZMmVXd3xEOiSgKbV155hR9//JGlS5fy9NNPV0WTQghx\n3wmIuIGHW+PKP06lxixoLyZxVwFIMbLTBTRh5i3JVhddVFifXEWLWqPQunETXJzssLQ00+3qtMHv\nvxAGYNqQSQZDmPzHJbQRQghRVZYuXcqlS5f0lpmammJnZ0fLli3p1asX5ubmVdy7mmHr1q1s2LAB\nLy+vIoHNyZMn+fHHH7G0tHxoApvNmzezbt06evXqJYGNqDJVEth4eHgwd+5c3njjDT7//HP+7//+\nDyMjo6poWggh7gu/HVzNAp81xQYb+uQHIxO8nmVi75EAGCWFogk9hnF8EEndPypyjFarJcTtcaKV\nvJAmzrReqdszMzMl1zQHj4YNqevqjLFx0d/lARE3Sh3W5NMX2rRwa1SuAEsIIYQoyebNm9myZUuJ\n9aytrZk6dSrvv/++7ksJIYSoKlUS2Pj6+tK8eXOmTJnCV199xerVqxkxYgRt27bF1ta22PCmS5cu\n1KpVqyq6KYQQ1SIg4gYLfNYAhUeXqLLTMb+2FfPr21GnxaC1cCS9ySDSmw5BMTHXhTX2qhwiTvyJ\nknYCl7hLGCfd1p07pf0rhGXD0StnsVFZY2dky52YBHJy2oJN2xL7plKpsLerhYuzHc5O9tSyMi/x\nDauHW2MmeD1b5gCqYGgzwetZCWuEEEJUOmNjY2bMmFHosYSEBIKCgtiyZQtJSUl8+umnREZGMnv2\n7GrqpRDiYVUlgc3rr7/OmTNndD9fu3aNWbNmlerYU6dO0bFjx8rqmhBCVDsPt8ZMGzKp0OgSm4xo\nRgYtxjgp5L+KcdfQhB7Hym8Bhxy94OJOdtum0tooA7UKuBmqq6pFxR1NI5ZtXEqySUNqW7qSTi7p\nhVaQ0S9bycbGzpKW7u44OdpiYlL2/yom9h5Jr+adyhy6DOvQX0bWCCGEqDJGRka89957esvCw8Pp\n1asXISEh/Pzzz7z++us0atSoinsohHiYVUlgI4QQongFR5eYo6X7mVkYG2XrrWucdJu+SSvoa1H4\n8XS1FbfNWxFi7kmoeSsyjGpRCyjNGEVraws0VsZ4NGyIjY1VhQz7Lm/oImGNEEKImqB27dpMnTqV\nyZMnoygKhw8flsBGCFGlqiSw+fvvv0lPTy/XsU2aNKng3gghRM2UH9rc2PMV7gbCmoIUVMSY1v93\nwWBPojTuoFKXqi1TU2OcnexwcbLDydEWU1OTe+q7EEII8SByd3fX3c/MzNRbZ9asWSQkJODl5cXg\nwYMBOHfuHEePHiUiIoJ69eoVWbQ3MTGR/fv3c/XqVVJTU3FwcKBTp0506dKlVGt9JiQkcOTIEUJD\nQ4mMjMTExIR69erh5eVFw4YNS319165dY8+ePURFReHo6EivXr3w9PQs9fEFRUZGsm3bNm7fvo2V\nlRWPPvoo3bp1K/FLoHu5ln379rFjxw40Gg0zZ87UnW/jxo0EBQVhbm5Op06d8Pb2Rq0u+T3StWvX\n2LVrF5GRkTg5OdG7d2/ati15CrkQlaVKApvGjeXbUiGEMEhRME4IRmtiybAO/cm9PA+SIvRWzVSb\nc9usFSEWntw2b026kU0pm1DIMcqmfm1XmtSvi20FjaIRQgghHmRXrlzR3S8Y3hT0xx9/EBYWBkC3\nbt148cUX2bNnj6684C5LWq2Wr7/+mtmzZ5OamlrkXM2aNWPevHn07t1bb1tBQUGMHz+eEydOkJOT\nU6RcpVLx7LPP8vPPP2NtbW3wujIyMnj77bdZvHhxkbLhw4fz119/GTxWn9mzZ/PFF1+QlZVV6PFu\n3bqxaNEivc9dWa7F0dFRb7vHjx9nzpw5WFpaMnPmTJYuXcrrr79e5Lnt0KEDmzdvpk6dOnrPk5GR\nweTJk1m4cGGRshEjRrBkyRKD1y5EZZIpUUIIUQ3ydnI6gWnYSTRhJzBKiyap05ukdJqMq7Giq6eg\nIta0LrfNWxNi7kmkpjGKqnS77JmYGGNta4Gzoy31a7ug0ZhW1uUIIYQQD5yAgADdupvu7u706dOn\n2Po5OTkMGTKES5cu8dxzz9GyZUtMTU2pV++/3RhffvllVq9eDUDDhg154okncHBwIDAwkI0bN3L1\n6lWGDBnCypUreeKJJ4q0ERERwZEjR6hbty5du3bF1dUVJycnwsLCOHHiBBcuXODvv/8mODiYAwcO\nYGxc9OOeoig888wz7N69G8jb0Xfw4MFYWlpy9uxZNm7cSGZmJqampXvfMH/+fD799FM6duxIv379\nMDEx4dixY+zbt4/jx48zYMAAjhw5gouLS7mv5ejRo3qvpaAVK1YwduxYOnXqRL9+/bCwsODw4cPs\n3r0bPz8/nnjiCXx9fYuMYFIUhWHDhrFz504AWrZsydChQ7G0tMTPz4/169eX6fkQoiJJYCOEEFVA\nnRKF5t9wxjTsJMbJYUXqaMJOcr3Zc6Tm1iLXqjuhZi0JM/co9SgaAGtrS1yc7HB2ssPOthZqtYyi\nEUIIIQzJyclh6tSphR5LTEwkODgYHx8ftFotzZs3Z/Xq1aUKDKysrDh16hTNmjUrUr548WJdWPPC\nCy/w22+/odFodOVXrlxh4MCBhIWFMX78eLp06VIk5GjcuDGHDx+mU6dORUbKKorCokWLmDx5Mr6+\nvixcuJAJEyYU6ceCBQt0Yc3kyZP57rvvCoUYPj4+PPXUU6UKKLKysvjss8+YOXMmH3zwQaGyf/75\nh7FjxxISEsK7777LypUry30tf/75JxMnTiy2H6+//jq//PILr7/+eqGymTNn8tlnn+Hn58emTZsY\nPnx4ofLffvtNF9a89dZbfP/994Wej0OHDjF48GAJbES1UCmKopRcrWKdPXuWY8eOERUVRVpaGu+8\n8w5169at6m6IYsTHx2Nvbw9AXFwcdnZ21dyjB0d4eHh1d0FUAXV6HKZhvrqAxiQh2GDdbJWGcLPm\n3DJvhY9JOxzN9Q/71SdXycXEUk3zBg2o6+aMuZmm5IOEEELUaPHx8SiKgpmZGfXr1zdYb+HSTVXY\nq+ox7sUnK+W8I0aMYMuWLSXW69u3Lz/99FOx62o2atRINyVq27Zt9OvXr0gdRVFo1aoVN27coFGj\nRpw7d65QWJNv7969unVwPvnkE/7v//6vtJek89prr7F48WI6d+7M4cOHi/TDw8OD4OBg2rVrx/Hj\nx/Wu7fLTTz/x4YcfAnlTugpO8YK8dXv+97//ATBw4EA2btyoty/vv/8+P//8MyqVisuXL5d50eb8\na+nSpQsnTpwoUv7ll18ybdo0AF588UW9U5dycnKoW7cuUVFRvPzyy4WmPSmKQpMmTQgKCqJ9+/ac\nPn1a7/Px448/8u677wLQq1cvDh48WKbrEPenoKAgMjMz0Wg0pX7tVvTn6CodYXPq1CkmTpyIn59f\nocdHjhxZKLAZNWoUf//9N6tXr2bEiBFV2UUhhLg3ihbHtc9iGn3RYBUtKqJNGxJq3opQ85ZEaRqj\nVeX9Oi5NVGOXFUad3GBqdR+Lg7NzqRbRE0IIIURRxsbGzJgxo9Bjubm5hIWFsWfPHvbt20ebNm2Y\nPXs2kydPLvZcDRs21BvWAAQGBnLjxg0AXnnlFb1hDUC/fv3w8PAgICCAbdu2lSuwGTBgAIsXL+bc\nuXNkZ2djYvLfxgIBAQEEB+d9iTR+/HiD7yHGjRvHtGnTyMjIKLG9uxdULmjSpEn8/PPPKIrCjh07\nSnwODV3L2bNni1zL3e4eWZPP2NiYnj17snbtWi5dulSo7PLlywQFBQEwceJEg8/Hq6++yscff1yq\n50OIilRlgc2+ffsYNGiQbiGqWrVqkZGRQXZ20Z1QBgwYwMqVK9m1a5cENkKImkmbA2o9v0JVahTj\nom/CkowduW3eilCzVoSZtSDLyLLUTZlq06idcYV66f7UT7tITFYSRx/5GG9X13u5AiGEEOKhZ2Rk\nxHvvvae3TKvVMnXqVH766Sfee+89rK2tGTNmjMFzderUyWDZhQsXdPcfffTRYvv06KOPEhAQgL+/\nP7m5uXp3jcrOzubYsWNcunSJmJgY0tLSyJ84ERISAuRNE4qJicHNzU1vP7p27WqwD1ZWVrRq1Yoz\nZ84U29eSztOkSROcnJyIjo7G399fb53yXsvd2rdvb7As/7j4+PhCj58/f153v1u3bgaPt7KyonXr\n1pw+fdpgHSEqQ5UENikpKTz//PNkZWXRqVMn5s6dS9euXenUqZPeXwKPPfYYQJGhd0IIUW1yMjGN\nOosmzBfT0BMYpd3hzqg9oGenpaw6XSAqgDAzD0LNWxJq1pIkE+dSN6VVtISmRhCSdJP66Zd4zS6R\n2sZaIlXweYIpGzMbk753LdPMnHRbgQshhBCiYqnVar7++ms2btxISEgIM2bMYPTo0QZ3WXRycjJ4\nrtjYWN191xK+cKlduzaQFxglJCTg4OBQqPynn35i1qxZxMXFlXgNycnJhUKOgsc4Oxf/3uTu9XP0\nMTExKXHKh7OzM9HR0YWeg3z3ci0FWVhYFLvGTH7Z3btYFWy3pOst6e9NiMpQJYHN8uXLiY6OpmnT\npuzfvx8rK6ti67u6umJmZsatW7dITk6mVq1aVdFNIYT4T242Jnf8/10o+CSmkX6ocgv/J2+UeItc\n24Z51XNziU9IITomgZi0R0io1x5FVfqpSpaWZjg52nItIZjZB/8k89+2pg2ZhEmH/kQDRkATvz2k\nb50PwIx//5TQRgghHk6Vtb6L+I+RkRE9e/ZkxYoV3Lp1i2vXruldUBgoNjAoGPKUtISoVqvVexzA\n9OnTmTlzJgAODg706tULd3d3bGxsdNOFrl+/rtuWu+C57lZSP0qz1GlZ6lTmtRgK0cqiIp4PISpa\nlQQ2Bw4cAOCdd94pFNYU9w/LxcWFW7duER4eTvPmzSu9j0KI+1tAxA083BqX/zhtLiYxAf9us30S\n0/DTqHPSDB6nABGXDnAwqw5JiWnYm9hhrCrwK7WEsMbUxBhHRxucHG1xcrTFwtyMDX57mLlvvq7O\ntCGTioQx+T/PkNBGCCGEqBIFR5BERUUZDGyKU3D0TXh4OI0bG37Pkr9BhYmJCba2trrHExMT+e67\n7wAYNmwYixcvxszMrMjxmzZt0oUcxfUjIiKi2FElERERBsvy5eTkEB0dXezoovzzODr+t1JfRVxL\nRbj776W450M2DhHVoUoCm/wXd9u2bUt9jI1N3ja2lbmwU25uLn5+foSGhqLRaGjatClNmzattPau\nXr1KcHAwKSkp1KtXj+bNm+uuU5+tW7eSkJBQ4nkbNWpU4lxYIR5kvx1czQKfNYUCDlV2OubXtmJ+\nfTvqtBi0Fo6kNxlEetMhKCbmAGzw28PBXd8xva45zbMiUGcmFdtOurqWbopTqHlLUhPtMQPMTEte\njyZXm0uaKh0Hh1p4Nm6Gm6NDodB6g98eXfgC+sOafBLaCCGEEFUnOjpad7+8I/8Lrq9y+PBhevbs\nabCuj48PAO3atSu0CO7Zs2d1U3o++eQTvQFHfj1D2rVrp7t/9OjRQj8XFB8fX2SBXkOOHTvGk0/q\nH+11+fJl3boxBduqiGupCB06dNDdP3LkiMF1cOLj47l40fCGEkJUlioJbPIXysrNzS30eHEjbO7c\nuQNQbKBRXoqiMH/+fGbMmEFkZGShsg4dOjBv3rwKC0AUReGPP/5g9uzZXLt2rVCZiYkJjz/+OJ9/\n/jkdO3YscuxHH31Uql+Uo0aNksBGPLQCIm6wwGcN8F9wMaJxMxy2jMc4KeS/inHX0IQex8rvD2KH\n/sHaG1eZsXU+z2hy8Ei+ovfcOSoTIjTN8kIa85bEmhreWlWfWrUscHK0xdnRFju7WpgY6/+VGxBx\no9RhTT59oU0Lt0blGmUkhBBCCP0yMjJ0Wzibm5uXe+R/48aNad26NRcvXuTPP//krbfe0rtMxKZN\nm3S7ST311FOFygquv3L3Wiz54uPjWbRokcF+NG3alJYtW3L58mV+//13JkyYoHfnpd9//13v5jD6\n/PLLLwYDm3nz5gF5OzXlb1deUddSEZo2bUqrVq24dOkSv/76KxMnTtT7fPz666+lfj6EqEhVshds\n/pbdBVclL87Vq1eJjIzE3Nxct+hWRZo8eTKTJ08mMjISFxcXnnzySfr164epqSl+fn54eXmxefPm\ne24nPT2dgQMH8tprr3Ht2jWsra3p378/zz77LP369aNWrVps2bKFvXv3FnueRo0aMWrUKIO37t27\n33Nfhbhfebg1ZtqQSbqfZ2/9BbO1owqHNQUYJ4VgtnYUs7f+AsDR7P9GxyioiDGtz1nrx9ni8j4L\n681jm+t7nLd5vFRhTQ451K3jRPu2TRnQtxN9erantYc7zk52BsOa/GuY4PUsULqwJt+wDv111z7B\n61kJa4QQQogKlJ6ezmuvvUZUVBQAzz//PObm5uU+32effQZAWFgYo0aNIjExsVC5r68vkybl/b/u\n6urKq6++Wqi8devWui+8Z86cWWQmQlhYGMOHD9e7q1RBU6ZMAeDKlSu89tprRc6zceNGZs6cWapF\ndk1NTfH39+ejjz4q8uX8/PnzdYHLmDFjqFOnToVfS0X4+OOPgbyt11955ZUifVm/fj3Tp0+XRYdF\ntaiSETbe3t6sWLGCBQsWMHHiRIz//eBiaITN9OnTAejZs2exi3eVx4oVK5g/P+8b6bFjx/L777+j\n0eRtwXvr1i0GDRrE5cuXeeGFF7h69eo9BUbPPPMMu3btwsjIiK+++op33nmn0PXk5OSwa9euEn/x\n9+zZk8WLF5e7H0I86PIDjl+2zWOqRTQ2mfHF1rfJjOEpjQmrMu145bG3uXRzDxGKC6HmLckwKv1Q\nZ5UK7mTFYG1jQZtGTWhWt0GhoctlMbH3SHo171Tm0GVYh/4yskYIIYQop5ycHKZOnVrksYiICA4e\nPKjb2ah169Z89dVX99TWsGHDePPNN5k3bx47d+7Ew8ODAQMGYGdnx5UrVzh48CC5ublYWlqybNmy\nQuvXQN7uUWPGjGHp0qVs376d5s2b06dPH+zs7Lh58yb79+/Hzs6Or7/+mrFjxxrsx/PPP8/OnTtZ\nvXo1K1as4MCBA/Tr1w8LCwvOnTvHiRMnGD16NKmpqWzYsKHYazIxMeGHH35g7NixbNy4kT59+mBs\nbMyJEyd0X9Z7eHjw9ddfV8q1VIRRo0axfft2Vq5cybJly9i3bx8DBgzA0tISPz8/jh8/zosvvkhq\nairr1q2r1L4IcbcqCWyeffZZPvroI/z9/XnppZdYsGABFhYWReplZGQwbdo0VqxYAcBbb71Vof3I\nzc3VJdseHh788ccfhYa8NWjQgDVr1uDp6Ulqaipffvklv/76a7naWrhwIdu2bQPyhtBNmDChSJ27\nhwYKIcpGlZ2KafgZNKHHmRB2gtcdrqGi+BX8s1RmhJs1p5tNW5o59kQVreaw5ROlbtPWxkq3ULCd\nbS2MjCpuoGJ5QxcJa4QQQojyyc3N5ccffzRYbmVlxdixY/niiy8qZOfa2bNn06JFC6ZPn05UVBSr\nVq0qVP7oo4/y448/Glz7c968eajVapYuXUpkZGSh43v06MGiRYuKLMOgz8KFC6lfvz4//PAD4eHh\nLF26FMhbymLChAn88MMPjB49ulTXNHLkSDIyMpgyZQoLFy4sVDZ06FDmz59fJHyqyGupCEuXLqVB\ngwbMnj2b8PBw3ZflRkZGTJo0iZ9++omRI0dWSV+EKEilVNH+ZOvXr2fEiBEoioKzszNPPfUU27dv\nJzQ0lHfffZfU1FQ2b96sW1Nm5MiRRX6B3atDhw7Ru3dvIG+I3sSJE/XWGzx4MNu3b8fOzo47d+7o\nRgSVlqIoNGnShKCgILp27crx48fL1d/WrVtz6dIlxo4dW+UjbOLj47G3twcgLi6u0Or44t7ICvP3\nQJuLaeRZNKHHMQ07gWnUBVTa4ucTa1FzR+OuWyj4jqYRWlXp/00nZCbi4GBD+6bNcXSwwdS06Lxm\nIYQQoiLFx8ejKApmZmbUr1+29dNE6WzevJnr16/rLTMyMsLGxoZGjRrRsWNHvV80F/THH3+QnJxM\nx44d8fLyKlX7OTk5nDx5kqtXr5KamoqjoyOdOnUqdveogm7fvs2RI0eIiYnB0dGRtm3b0rJlSwBC\nQkJYu3YtAC+99JLuPb0+cXFxHDhwgMjISJycnOjWrRv16tUD8jZAuXr1KvXq1eOZZ54pdNzJkyc5\nevQopqamvPHGGwCkpKRw4MABQkNDqVWrFl27dqVJkyYVci3GxsaMGzeuyLWcOHGCI0eOYGpqWuyX\n/YcOHeLUqVPY2Ngwfvz4Yp+Pffv26Z6P7t27656PLVu2cOXKFerVq8dzzz1X4nWJ+19QUBCZmZlo\nNBoaNWpUqmMq+nN0lQU2kDcdacKECaSlGd4qF/JG5CxevPie5ojq89FHH/HNN98AEBwcTMOGDfXW\nmzdvnu4f/JEjR8q8Rsz+/fvp27cvAH/99Rfjxo0rV38lsHkwSWBzD3KzcP2rC+qcdINVFFTEmtYl\n3Kw54WYtCDdrTpa6+DdaBRkbG6E1ySUyM4oWDRrSsUkrzEw0FdF7IYQQolQksBGisIpeJkOI0qgJ\ngU2VTInKN2rUKLy8vPjxxx+LpNrm5uZ4eXkxefJkhg4dWint+/v7A2BnZ2cwrIHC27v5+/uXObDJ\n34oP0AU3CQkJnD59WvcX+Mgjj+gdGqhPTk4Ofn5+3Lx5E5VKhYuLC+3bt6/wQEuIaqcoGCWFYJx4\nm8z6PYqWG5mSVbsjZiGH/zsEFXEmtf8LaMw9yCxDQKNSqbCzrYWTow1OjrbY2tRCrTa8g50QQggh\nhBBCVIUqDWwA6tWrx5w5c5gzZw6pqanExcWh0WhwcHCo9FXA87fIK+mbioLl+ceUxdmzZwGwtrbG\nzs6OSZMmsWjRIjIzM3V1jIyMGDZsGLNnz6ZBgwbFnm/FihW6dX3ymZqaMmLECKZPn17qoZNC1ETq\n1Dtowk7mTXMKPYFxSjhajQ2R446Dquj6MBm1u5IecZ0wsxaEm7UgzNyDTLWlnjMbZpkVyfnMZPp1\n6I5HQ3dMTKr8V6EQQgghhBBCFKtaP6VYWlpiaVm2D1r3IikpCQAbG5ti6xUszz+mLKKjowGwtbWl\nf//++Pr6Ym1tjbe3t2719Rs3brB27VoOHTrEwYMHdfM09alXrx4NGzbE1dWV+Ph4Tp06RWJiIitX\nrmTLli2sX7+efv36lbmf8fGGd9JJSEgo8/mEKA1VZhKa8FOYhh5HE3oCk/ii88fVmYmYxASQ7dQK\nRVFITc0gJi6RmNhEYmM9yKzzZZnaNMtNpm76ZepmXMYsK4S0gd/Rt47+xfyEEEIIIYQQoiaoksDG\n39+fZs2a6bbPri6pqakAJfbDzMysyDFlkR/yhISEEBISwrBhw1i0aFGhIOj333/n9ddfJzo6mmef\nfZYLFy4U2Q74nXfewdvbu8h8uczMTObNm8cnn3xCcnIyw4cP59KlS7oFsUqruAXIhKgwOZmYRvqh\nyQ9ooi+iUrQGqytAkrETt68GEBZmTExsIpmZxS8sXOQcKoVrcdexSb9Ktyx/GqvuEJaZw++Z1mzM\ntOGDqDsMq3OP1yWEEEIIIYQQlahKApuXX36Zy5cv8+ijj+Lt7Y23tzcdO3Ys8+5L9yo/qMnOLv7D\nX1ZWVpFjyqLgolju7u6sXLmyUAgE8NprrxEQEMDcuXO5dOkSW7du5YknCm8t/Oqrr+o9v0aj4YMP\nPsDOzo5XX32V5ORkvv76a3755Zcy91WIymR5finWJ2ajys0qtl6SscO/CwTn3VKM7SERSIwpVTsZ\nuZncSg4lNDWCTKMMToVeQPl3e2/HIW/RukN//P32sGrrfABm/PvnsA79y39xQgghhBBCCFGJqiwx\nSU9PZ9++fezbtw+AWrVq0bNnT12A07Zt2yIjTCparVq1iI6OLnHUTMFyKyurcrWTb+zYsUXCmnwT\nJ05k7ty5AOzZs6dIYFOScePG8fXXX3P9+nW2bNlS5sAmLi7OYFlCQkKpV8IWDyZVdjrm17Zifn07\n6rQYtBaOpDcZRHrTISgmBRa8VhRQtKAuugZVrpWr3rAmxchOtwZNuHkLko0dy9Q3IyM1DvY2ONhb\n4+hgw64rPnT3aENYgjOzti/Q1Zs2ZJIulMn/c4aENkIIIYQQQoj7QJUENkuWLGHXrl3s37+fw4cP\nk5SURHJyMtu3b2f79u1A3vSc3r176wIcDw+PCu9H3bp1CQoKIiwsrNh6oaGhuvtlnWZ09zFt2rQx\nWK9FixaYmJiQnZ3NzZs3y9yOSqWia9euXL9+ndu3b5OVlVWmLe9kq25RUEDEDTzc8hawNkq8hcOW\n8RgnhfxXIe4amtDjWPn9QUKfLzFKuo0m9DhGIUdJ7f1/ZDR+vMg5M+t0RkFFmpENYQW22U4ycSlT\n37Jys0lRUujesh0ODjbY2lgWCnhHdhnMBr89BsOafBLaCCGEEEIIIe4XVRLYtGrVilatWvHee++R\nm5vLqVOn2L9/P/v37+fYsWOkp6cTFxfH+vXrWb9+PQCurq706dOHOXPm4ObmVmH98PHxISIigvj4\neIOBRUBAgO5+cYsBG9K6dWvdfRMTk2LrGhsbk52dXeI0LUMKTtnKzs4uU2AjRL7fDq5mgc8apg2Z\nxPA2PYqGNQUYJ4XguOnFQo+d911O3QKBTUZmFrGxeYsEx9f/liR12dZLUqvVaCyM2XZlP8HJt0lX\n0unbsitNmwzRW3+D3x5d+AL6w5p8EtoIIYQQQggh7gdVvkuUkZERXbt2pWvXrnzyySdkZmZy/Phx\nXYDj6+tLdnY2kZGRrFq1ivfee6/CApvevXszf/58FEXBx8eHJ598Um+9AwcOAHlhS/fu3cvcjre3\nt+5+cSNn7ty5Q3p6OgC1a9cuczvwX7hkbW1dpTtuiQdHQMQNFvisAfLCC487x3AzENYYUisuCN/L\nlzDTmhETl0hKSvp/haUIa9RqFXa2tXB0sMHRwQZbm1qo1SpC1bcZ7z4cj9qNUevZ4ju//6UNa/Lp\nC21auDXSjTASQgghhBBCiOpWrdt6Q94IkW7duul+Tk1N5dy5c5XS1qBBg7C0tCQ1NZUFCxboDWwS\nEhL4559/ABgwYECJW4Dr07lzZ9zd3QkODmbt2rW8+eabeuutXbtWd79Xr15lbufMmTMcP34cgD59\n+pT5eCEAPNwaM23IJL7d+gsvmCXQ9voaKGE5qQy1JRFmzXTr0MSZ1oWbCaVuM1ebS2hqBDeTb+PR\nwJ2XvZ/CyKjoGjgv9xheqv5P8HpWN0KotCNlCoY2E7yelbBGCCGEEEIIUaNUS2CTm5vL6dOndaNq\njh49qhtpkq9Zs2Z4e3tTv379CmvXysqKd955h5kzZ7J9+3aWLFnC2LFjC/XrtddeIzk5GYDPPvtM\n73m2bNlCYmIipqamPPvss3rr/O9//2Ps2LH4+Pjw008/8dZbbxUqDwgIYNq0aQC4ubkVOc+lS5dw\nd3fHwsJC7/n9/f0ZPnw4ipK3E84HH3xQimdACP2GdeiPSsnlhePvYasuuuV2ptqcCM2/AY15C2JN\n6oKBES/6qFQqbG2scHSw4XriTb7e/QvZ2hwaOtaho7WH3rCmLCb2Hkmv5p3KHLoM69BfRtYIIYQQ\nQgghaiSVkv+JvxIpisLFixfZt28f+/fv59ChQyQlJRWq06BBA/r06YO3tzd9+/Yt9xShkqSlpdGr\nVy9Onz6NSqXiueeeo3fv3qSmprJy5UrOnDkDwJQpU/jmm2/0nqNFixZcuXIFGxsbEhIS9NZRFIWR\nI0eyZk3eVJPHHnuMwYMHY2FhgZ+fH4sXLyYtLQ0TExN27NhB3759Cx0/cuRINm/erFuA2dXVFQcH\nB+Li4jhy5AhbtmwhJycHgC+++ILPP/+8gp6hPPHx8djb501liYuLkwWKK1B4eHj1NKxoMYkJwCjx\nNhlNii4QDJC2eiRN4s7pRtCEa5oRYdaMGNP6ZQpotIoWG2tLXJzscXSwwd7OGmPjvFAmPi2JXReP\n0KNpB+rauVbIpQkhhBAPkvj4eBRFwczMrEK/vBTifiXrdIrqEBQURGZmJhqNptQ7KFf05+gqCWz6\n9OnDwYMHCz3m4uKiC2i8vb1p3LjqvuGOiYnh5ZdfZuvWrUXKjI2N+eyzz/j8889RqVR6jy9NYAOQ\nlZXF1KlT+emnn9Bqi45aaNy4MQsXLsTLy6tI2cyZM/nmm290o330qV+/Pt988w0jR440WKe8JLCp\nPFUZ2KjTYtHcPorm9hE0t49ilB6L1sSCyHEnwOi///gyMrOIjUsi8bofcbHxeVOcyig2K54rcTcI\nTg4hJDmMz598nYFtir62hRBCCFE8CWyEKEwCG1EdakJgUyVTogqGDk888QTTpk2jY8eOVdG0Xo6O\njmzZsoUzZ86wfft2bt++jUajoVmzZjz99NMlju554oknCA8PL3GRX1NTU3744QfeffddNm7cyLVr\n10hLS8PFxYUePXowYMAAjI31/xV8+umnTJkyhaNHj3L27FkiIiKIiYnB3NycunXr0rVrV7y8vO55\nKol4wORmYRp57t+A5gim0ZeLVFFnp5ETcpYIU3di45KIjUskNTXj31JLMC3d4tXWVuY4Otri6GCD\ng70Nv/msZveFQ6hVajzrNsfC1LwCL0wIIYQQQgghHi5VMsKmY8eOuqlG8N9Cw/nTnzp37mwwuBDV\nQ0bYVJ6KHmFjlBiSF9CEHEETdgJ1dlqhcgVIMnbOm+Jk1owITTOSTZzK3I59Vii1MwKxzQnH+vGp\nGDsWTpmDokO5GhVMt8btsDGvdS+XJIQQQjzUZISNEIXJCBtRHWrCCJsqCWwiIyN1Cwzv37+f4ODg\nQuVWVlb07NmTvn374u3tTbt27QxORxJVQwKbylNRgY3Zjd1Yn5iDceKtQo8rQLyJGxFmzYjQNCfc\nrBlpxmX/+7OpZU50+DEaJZ+hbsZVknIy2JBpzbBRv9KkrkeFXIMQQgghipLARojCJLAR1aEmBDZV\nMqzF1dWVF154gRdeeAGAW7du6RYgPnDgAOHh4ezYsYMdO3YAYG9vr1vfZsyYMdSqJd/WC3E3xcQc\n48RbaFERZ1qXCE0zws2aE2HWjAyjsv2bUVCwt62Fvb0NjvbW2NtZs9X/AF9d2f9vDRddXatr5ySw\nEUIIIYQQQohKViUjbEoSGBioG31z8OBBYmNjdWWnTp2q1vVuHlYywqbylGaEjTo9Lm+x4JAjZDQe\nQIb7f7uIabUKiUkpxEXHknxhB5GmjckyKt26M/kUFEKSw7iVHMrNlFDcHB2ZN/pTXfkGvz3M2Dpf\n93NDhzrcjA3T/TxtyCSGdehfpjaFEEIIUToywkaIwmSEjagOD80Im5LY29vrbjY2NoUCGyEeCFlp\ncOEfuLAOp4QwtBaOpDcZRHrTISgm5pCbjWnUubx1aG4fwTT6ku7QXEVNmE0nYuMSiY1LIi4+idzc\nf3cdM/csVfNGajV2drVwsLfGwd6GxNxEvvjte115SEoYyRmp1DKzLBLW5IczBR/P/1NCGyGEEEII\ncb85d+4cCxcu5MKFCyQlJaHVaunfvz/fffddpbV58uRJXnvtNQA2btxIw4YNy3WeH374gSVLllC7\ndm22b99e7v5s376dTz75BICDBw9ia2tb7nOJylMtgU1iYiIHDx7Ujaq5ePFikTpqtRpPT08cHByq\noYdCVKDYG7BkOMTlrd1kAhB3DU3ocWqd+J5sxxaYRl1AnZ0KQLbKlDCzFv8uENycqKzG5J7wL1OT\nOUoOt5JDad+kBZ6Nm2JrY4VardaVO2KjGzWjQkWr2o2JSYln7+VjesMa+C+ckdBGCCGEEKL0vvzy\nSzZt2sTQoUP5/PPPK6WNrKwsLly4gK+vL6dPn+by5cvk5uYCeTMWKsKqVav4/vvvS64IHD16tEJG\nxezevZtPP/2UTZs2lTvguNuqVasYM2aM7vnJ16RJkwo5vyHJycmcP38egIyMjBJqGxYWFsb58+dJ\nSEi4p/7ExcXp+pOTk3NP5xKVp0oCm7S0NI4ePapbt8bPz6/IPxAADw8PvL298fb2pnfv3rqhRELc\nby6EBOJZv0XeyJoCYc3djDLiyQ07S6hZEyIs83Zxita4o1WV7Z+miYkxDvbW+IadZ8fVg0SlRaNF\nQWs3lN4dH9F7zLgew8nOzcGrWSccrGwNjqwpSEIbIYQQQojSUxSFRYsWERoaypQpUyqljU2bNjFm\nzBgyMzMr5fz5oqOjuXDhQqnqarXaCmkzISGBCxcu3FPAUVBGRgZvvPEGubm5dOjQgc8//5x69eqh\nVqsfiBEmBw4c4N133wXyRtDUrl27mnsk7lWVBDa9e/fWm+y6u7vrAhpvb29cXV2rojtCVKrvtvzB\nnG1/MWf0x4wySygS1mSqLYjQNCXCLG8HpxjTBigqtf6TGWBqaoLjv9ObHOytqVXLApVKRbJFAgvP\n3dHVO3jFl/cGvKR317Uhbfvo7pcmrMknoY0QQghRs1TUDpQ1yYPyQfPMmTOEhoZiamrK448/Xilt\nJCYmoigKjzzyCB07dqRTp078/fff7Nmzp1LaAzh+/DhGRkYGyzUaTZnPmZyczGeffcZnn32Gk5OT\nwXqBgYEsWLCg1KN9Cjpx4gRxcXEAzJ8/n86dO5f5HOXVtWtXzp49C+R9Dq4MiYmJulEzWVlZldKG\nqFpVEtjkJ6x16tTR7f7k7e1NgwYNqqJ5IaqMf7A/c7b9BcD7y2fh3VyFtZHtvwFNUyLNmhFrUgfK\nGNCYmZmCqcLN5BB8bp5i7piPcLAquoBVt8btMDUyISs3G4AcbQ6xqQk46qmbLyDiRqnDmnz6QpsW\nbo3wcGtcpusSQgghhHiQbd68Gcj7Aruydr596qmneO655wqFJPv27auUtvJ5enpibFyxHyUPHz7M\nX3/9xZo1a/jqq6946aWXCpVnZmby1Vdf8fXXX2NhYcGkSZNo2rRpmdq4deuW7n7z5s0rotulZmVl\nRbt27aq0TXH/q5LA5vPPP6d58+ZV/o9CiEqnKBB9Fa7tgat7aB16hjnD57DcZw8NrOqwy8yFjHqG\nvyEwxMLCTLdAsIO9Ne+u/YrTN/9b6+nwtTM81b5f0eNMzRnR8TEsTc3p3aIzLVwb6R1dU5CHW2Mm\neD3LAp81Zdr9qWBoM8HrWQlrhBBCCPFAuH37NsOHDwdgz5499zRVJj+weeKJJyqia3pZW1tX2rmr\n0qBBgzh37hyffPIJEydOZPny5Xh5eQGwf/9+fvzxR4KDg5k4cSL/+9//yrXWacGpVeUZBSREVauS\nwKYyf0EJUeUyUyDIB67tQXt1L7FpChGaZkSatSDCeSjpIWqebPgYAKWdbWuaGcmxxCg6NG3BYx26\nY25e+D+Qjg1aFwpsDgT66g1sAD54bFyZL2li75H0at6pzKHLsA79ZWSNEEIIIR4omZmZurVa7mUx\n1uvXrxMQEIBKpWLIkCEV1b0HWpMmTVizZg2HDx9mypQpfPXVVwBMnjyZIUOGsGXLlnINApg8eTJH\njx4ttBtxly5dCn2x6evry48//sjKlStp0KABmzZtKnKegwcP8s477wDQoUMHFi5cWKTOunXrmDFj\nBkZGRhw5cgRzc3Og9LtEabVaVq1axaZNm7h9+za2trZ06dKFSZMm4eLioveY2NhY+vbtS2Jiou6x\nQYMGFVn4uaR1bY4fP85ff/3FlStXMDIyom3btkyYMIFWrVoZPEZUrhqxrbcQNZqiQPQVuLqHnCv7\nuBMVSYSJO5FmTYm0/pBsW/Mynk+LQ3YobhlXqZ1xFbeMq3ySaMVV2/b879GJqPVMl+rdojO/HVqt\n+/n87UCyc7MxMTK516vTKW/oImGNEEIIIURR+aNrOnXqhJubWzX35v7SrVs3Ro0axYULF8jJycHR\n0ZGXX3653DM2bty4oVvbJd/dCyhrtVoaNmzI+fPnOX/+PFFRUUUCkm3btunOc/XqVebPn19kpM7G\njRs5f/48HTp00IU1ULpdomJiYhg8eDC+vr6FHt+5cyc///yz3hAJIDs7u8j1BQQEFKlX3Lo2n3zy\nCbNmzSr02KFDh/j1119ZtGgRo0ePNnisqDzVEthotVouXrxIYGAgCQkJmJubU7t2bTp16vTADOkT\n97msVLhxkMzA/UTevEFkri0RZs24o3kWrXPZQhKVkoNz5k3cMq/hlnEV18zraLRpuvLgXBM2ZtYh\nPeomF8Ou4Vm36H9ETZ0b0Kp2Exo51aN38850bdS2QsMaIYQQQghRsbZs2QI8mLMNPvzwQy5fvkxK\nSgo2Nja0atWKxx9/nL59+97zubdu3crHH39McHAw3bp14/Dhw7Rt25ann34aLy8v5syZQ8eOHct0\nzl9//ZWkpCTWrl3LzJkzgbwRLwVHoGg0Gvr06YNKpUJRFPbv38/zzz9f6Dz79+/X3U9PT+fYsWP0\n6dOnUJ0DBw4A4O3tXaY+5uTkMGjQIN1mPaNGjeKFF17AwcGBy5cvM3v2bJ566ikGDRpU5FhHR0fO\nnj3LgQMHeO+994C8cOnu0TSGRtfMmzeP2bNnM3nyZIYOHYqtrS3nzp3jf//7H5GRkYwfP55HH32U\nRo0alemaxL2r0sAmKyuLb7/9lp9//pmoqKgi5UZGRgwbNowZM2bQokWLquyaEACkpqUTERlD5FV/\nIoICiTXpDLW6lukcxsZGuLo44ubqiKuLI6fOb6Stz2zcjbKL1A3ONeH5xAakkzeq5mCgr97ARqVS\nsezVb8t3UUIIIYQQokrduXOHEydOADB06NBq7k3F+/XXXwv9vG/fPn766Sc6derEokWLyrwYMOSN\nCHnnnXc4ePAgPXr0YM2aNfj7+3P48GF+/vlnwsLCmDRpEp07d2bUqFF8//33xe4mVVB+0JD/dwJ5\nCyebmZkVqufk5ETr1q3x9/cvEtjEx8dz7tw5VCoVTzzxBJs2bWL//v2FApsrV64QFhYGlD2w+fXX\nX3VhzZw5c3TBC+RN33ruuefw9vZm+fLlRY41NjamXbt23Lx5U/dYy5YtDU67utusWbPYtGkTAwcO\nLNTmo48+SocOHcjIyGD+/Pl89913Zbomce+qLLCJj4+nX79++Pn5GayTm5vL2rVr2b59O6tXr34g\nf7mJmkNJTyQxOorIdBMiImOIiIomKSn1vwqm9Ut1HjONKW6uTri65oU0jg62qNVq0rMy8AnwJczI\ngozH5/PT+mkM0yThqM4hRmvMhkxrcls8xc3zh3TnOnjVl7f6janoSxVCCCGEEFVo69ataLVamjVr\n9kB9Ee3p6cmQIUNo0aIF9erVQ1EUAgICWL58OcePH+fUqVP07duXQ4cOlXnr6uzsbC5evMj8+fN5\n+eWXUalU+Pv768r79u2Lv78/M2fO5K+//sLEpHJGm3t7e+sCm4IOHjyIVqvF09OTZ599VhfYzJgx\nQ1cn/xhjY2N69uxZpnbnz8/bfbVDhw68++67RcotLCxYsGABbdu2LesllWjMmDGFwpp8bdq0oX//\n/uzYsYODBw9WeLuiZFUW2IwcOVIX1nh6ejJ27FgeeeQRHBwcyMjI4Pr162zdupW///6btLQ0nnvu\nOfz8/B6oX3CiemlztcRd9yPiylki7iQQmWtHmpFNmc9jZWGKW21X3FydcHNxxNa2VqEFy9KzMnhr\n8Qz2XTpGWmY6xmojLn63g6UndvFs8CVdvdZ1mvLLY6+y+dJx2tRtTp8WnfFq1qlCrlUIIYQQQlSf\nqtgdqqq98sorvPXWW0Ue7969O6+++iqzZs3if//7H1FRUbz11lu6KWGl5enpyfXr1wut+3I3jUbD\n9OnT+fjjj4utdy/69OnD3LlzCQoK4tatWzRo0AD4L4zp27evbvSMr68vKSkpWFlZFarTqVMn3WOl\nERERQWBgIAAvvPCCwV1ePT098fT0LLL+zr0aOXKkwbKOHTuyY8cOrl+/XqFtitKpksDmwIED7N69\nG4Dp06fz6aefolYXXli1Y8eOjBw5kvfff5/BgwcTERHB//73P1avXq3vlEJAVhpc+AcurIPUO2Dp\nDJ5Pg+czYGpBTk4u0eGhRAScISIymqhMC7LUZoBt3s2odM3YWahxq1vv35DGESsri2Lrm5uaERh+\ng7TMdABytLl8sW4efgXCGoCLYdfYe/kY+z5YjLmpmb5TCSGEEEKISrBw4ULdiIa7FVyYdcCAARgZ\n6X/TOGXKFJ555pkij6empurWMXmQAhtLS8tiyz/++GNOnDjBzp072b17N8HBwWUeZVPaEKaywhqA\n3r17Y2RkRG5uLvv27WPcuLwdWPPDGG9vb1xdXfHw8CAgIAAfHx8GDRqEoii6UShlnQ515coV3f2S\nRtC0a9euwgOb4hZzzt8+PSkpqULbFKVTJYHNhg0bAHj66aeZNm1asXXbt2/PkiVLGDBgANu2bSM7\nO7vShruJ+1jsDVgyHOKCdQ9lqoKJiogh4vhpImw6EJ1lRq7uJW4PRTdfKkKtUuHoaIebq2PeNCcX\nB8zMNEXqhcff4XZsOF2atNN7nsHte/PjjsW6n1cd++8bhtZ1mnIx7BoAM7bmvVEY1qF/yZ0TQggh\nhBAVIioqqlQfei9dumSwLDo6Wu/ju3fvJiMjA1dXVzp37lyoLCsri+7duxs85549e7C1tS2xXzXV\n6NGj2blzJ5C3RXRZA5u7DRgwAF9f33s+T1nY2NjQvn17Tp8+zf79+xk3bhxRUVFcvnwZY2NjvLy8\ngLxQJiAggP379zNo0CAuXLhATEyMrqwsCm7HbWdnV2zdksrLw8LC8BfS+YGlVqut8HZFyaoksMkf\n3jVmTOnW5ujfvz+urq5ERkYSGhpapf9AxX0gKw2WDCcj4Q7hFh0IN2tOhKYZcaZ1UfK3xDa8Y10h\nxkoWLrbmuDVujpurE85O9piY6P9nkZyeyhKf9Ww/dxC/4EvUtXfl1MwNeocsDmqfF9hYm1uRlJ6i\ne3zO6I/p06gTG/z26MIaCW2EEEIIIarWuHHj9O62A3D79m2efvppIC98MRSg1KlTR+/j+dOhBg8e\nXOR9olarLTYoysnJKanrNVrBRW4NBVplYWtri62tbaHdnKqCt7e3LrCB/0bXdOzYUbersbe3N7/8\n8gv79u0rVMfMzIxHH320TO0VXPzY0JbfpS0XD5YqCWxSUvI+sJZ2FW/I25osMjKS5OTkyuqWuM9k\nZmYRHhlN+NlDhJuNJbZ+vTKfwyw3BVeTRNyc7XBt0QHHRq0wUpdi6A2gVquZvfVPMrIzAQiNi8T/\n9hU86xddZ6lNvea89fhYftq5RPfYnNEfM6rHk4SHh+vCGQlthBBCCCGqnouLCy4uLnrLCk79adWq\nFY6OjqU+b05ODjt27AD0T4fSaDT4+voaPL4yRk9UpYLTZkqaQlWTeXt78+233xIREaEbRZP/eL7e\nvXujVqs5f/48sbGxujrdunUrsvtUSQqGf0FBQcWOwrpx40aZzi3ub1US2Njb2wNw7dq1UqWNWVlZ\n3Lp1C/hvzpx4+GRlZRMRGUN4xB3CQiOIiU8CVIAJmJYurLHKicU5N4y6zja4NvXEruUQVKaG57xq\ntVoS05Oxsyy6GLGlxpw+Lbuyo8CuTtvPHtQb2Kw8ullvWFOQhDZCCCGEEA8WHx8f4uPjqVWrVqHt\nnvOpVKpK2eWnpsgfbQLg4eFRjT25Nz179sTExITs7Gz2799faMHhfPb29rRt25azZ8+yb98+fHx8\ngLJPh4K858ra2pqkpCR27txpcGZKcnIyx44dM3geY+P/Pt7LFKYHQ+mGFtyjTp3ydr6ZO3cu2dnZ\nJdb/888/SU5Opk6dOgaHGooHT3Z2DrdDIznhe4H1G/eyaNlGduw+wnn/q8TEJ5MX1hTPLiuMlskH\n8Y5ewKj477BqZMSL/nvYZmaDfbsBesOanNwcjlw5wyerZ/PIJ0/y5uLpBs8/qH1v3f0O7q1o6FS3\nSJ0VRzbx/vJZup/1hTX5hnXoz7Qhk3Q/z9g6nw1+e0q8TiGEEEIIUfPk74z02GOPodEUXQfxQRYQ\nEMDvv/8O5I0Y6dq1azX3qPwsLCzo0qULAIsXLyYoKEjvVKf8cOa7777TjS4qT2BjZGTEc889B8A/\n//zDxYsX9db76quvSEtLM3geG5v/vnSOjY0tcz9EzVMlgc3zzz+PkZERZ8+e5amnniIiIkJvPa1W\ny6+//so777wDlH7NG3F/ysnJJTQsCt/TF9mweT+Llm5k287DnLtwhTsx8ShKyedwyAqhTeJuHrvz\nM2ND3ua58M/xil1Gs9STpBgbMXH9XwDM2fYXF0IC9Z7jWuRNRvwwmYUH1xKREI1PgC/J6al66/Zv\n052vRn7A2Vmb2T71L0Y+OqRQ+YWQwFKHNfn0hTYBETLUUQghhBDifrN161YAhg4dWs09KZvly5fT\nqVMnOnXqVGiUTL4zZ87wzjvvsHfvXtLT0wuVpaWlsWjRIry9vXVLYXz77bcGd9e6X+QHL6dPnwb0\nT3W6u46VlVWRhaZL67PPPqNWrVpkZ2czcOBA3ageyHuOZ8yYwbfffqsbDKFPy5YtdbsxL1u2TEbZ\nPACqZEpUs2bN+OCDD/jmm2/Yvn077u7u9O/fnw4dOmBnZ0dmZibXr19n165d3L59G4DGjRszderU\nquieqCK5ublE3YkjLPwO4RF3iLoTV+ZfItZZYYQkhfCs1o/aGVcw0+oPVgC+vRkH5M0DnjP6Y71T\nlwBa1G6Mu1NdgqNDAcjKyWbfxWM81ano1CRbS2vG9R5hsE3P+i14f/ArzNn2V6nCmnwFp0dN8HoW\nD7fGpTpOCCGEEELUDGfPniUkJAQTExMGDhxYpW3f/SE+/zOVvrKZM2cyYMCAQo/duXNHtxhywR2L\n8iUkJDB//nzdVug2Nja4uLiQm5tLSEiIbhaFqakp33zzDSNGGH6/fL/o06cP06f/N/K+4HSofF5e\nXhgbG+sWi+7Ro0ehaUllUb9+fVasWMGIESMIDQ2lb9++uLi4YG9vz82bN0lPT2fq1Knk5ORw6tQp\nvedwcHDgqaeeYv369cybN4+VK1dSu3ZtXYizfft2ateuXa7+iepRJYENwKxZs8jIyGDu3LlkZmay\ndetWXQJ9tzZt2rBx48b7eks7Abm5Wu5ExxEecYfwiGgio2LIzS1bQGObFU7tjCvUyQjEwjiFdZHR\nLElz4Dm7YMyMDE+vC841YWNm3pDAkd2GsPvCEcLi7zBl6PgidVUqFYPa9+aX3csBsNCYE5UYU6Z+\nFvTh0PE81ranwYDIkGEd+tPCrZGENUIIIYQQ96H83aG8vLwKTU2pCsXtPHV3WUJCQpnP37FjR+bN\nm8fu3bs5fPgwCQkJhYKd2rVrM3DgQN588837eu2agrp164a5ubluRJG+qU5WVlZ06tSJ48ePG6xT\nFkOHDuX48eNMmTKFAwcOEBUVRVRUFA0aNOCjjz5i4sSJfPDBB8We46+//sLW1pY1a9YQGxtbaGpU\nVlYpt9IVNYZKUUoz8aTinDhxgp9//pm9e/cSFRWle1yj0dCxY0defPFFxo4d+9DN+axp4uPjdYtF\nx8XFlWrFeq1WS3RMPOER0YSF3yEyKoacnNwytWudHUWdjEBqZwRSWwnHslEnaNoPmvYF69q69WEa\nqrNYZXMLdz2hTXCuCc8nNuCm1hSVSkX+S9zdqS7Hpv+jdxvu87cC+evAGga3742XR2fMTcu2sntZ\nhIeHV9q5hRBCCHH/i4+PR1EUzMzMqF+/fnV356GTlZVFQEAAAK1bty711J5HHnmEixcvMnfuXCZO\nnFiZXSzi/Pnzpa7boEGDIl+MR0dH696jNmzYsMTAKSUlhYiICLRaLQ4ODmXaSas8Kmpb79jYWN3o\no7Zt2+r9XFBQYGCgbhvtNm3a6H0t3L59WxeKNGrUSLft991SUlK4fv06kLfIcEmfd5OTkwkLC8PW\n1hYXFxddX8PDw7lz5w6mpqa0bNnS4PFarZaQkBCSk5PJzc37TNayZUvdcxkfH6/b6MfQtQHExMQQ\nGpo3E6Fdu3bF9vlBExQURGZmJhqNhkaNGpXqmPJ8ji5OlQc2BeUns2ZmZjg4OJR7+JioeKV5oWm1\nCrFxCbopThGRMWRn55SpnVrZ0boRNLUzArFyaZgXzjQbAHU7glHR10R+aGOOlqc0iUxpaI+bMUTk\n5E2D2phpQzpqZj73Hl+sm0dWzn+hzoFpy/Go06RsT0YFk8BGCCGEEMWRwOb+ExwcTIsWLVCpVNy4\ncUM2TqlgFRXYCFEWNSGwqdSE5Ny5c2zZsoXr16+TmZmJi4sLPXr04Mknn8TU1BRbW1uZ9nQfURSF\n2LjEvClO4dGER0aTlVXyrl8FWVqaU8fNmdraEGr7fIi1qQJN+kLTl/JG0lg5lXiOUT2eRFHggxWz\nWJVpx6orCh3cW+EXfImCa9aM6vEkBy6fZK//Ud2xBy6drPbARgghhBBCPFjs7e3x9fXF2NhYwhoh\nRIWplMAmMzOTCRMmsHTp0iJlP/30Ew0bNmT9+vW0b9++MpoXFezyss9JcXuUiAxzMjLLFtBYmKio\nXb8utd2cqePmjLW1Zd5wvowW0Kwh1G4P6rKtIH/w8knm711R6LG8sCZPwcV+B7Xrze3YCAa1683g\n9r1pVbdpmdoSQgghhBCiJDY2NrRt27a6uyGEeMBUSmAzceJEvWFNvps3b9K/f3/8/f1xc3OrjC6I\nCnRC6YBlojFQclhjlptUaIqTbYcnUPWZraeidd6Up3Kwt7LhRlSI3rIO7q0K7cw0sttgXuh+f22r\nKIQQQgghhBBCqCv6hJcuXWLx4sVA3oJW8+fP59y5c1y5coXt27fz1FNPAXkLPs2aNauimxdVTJOb\ngnvqGbrHruDZsM8Ze/tdBsT+SSuHHOx6T0TV+ZUynzMzO4u9/se4+e8223drU6859Rz0B31+wZdY\ncWST7uf8LeyEEEIIIYQQQoj7SYWPsPnnn38AqFevHqdPny60YnizZs0YOHAgb731FvPmzeOff/7h\np59+quguiEpkqk3DLeMqtTMCqZMRiENWKCoUsKkLbftDs/7QyAvMyr6V4akbF1h4cC17/I+QkpHG\nOwNf4qMni66wr1KpcHeux+3YCN1jnvVbcCEkEID3l+cFgQVH2gghhBBCCCGEEPeTCg9szp07B8C7\n775rcHu3GTNmMH/+fCIjI4mKisLFxaWiuyEqUN30SzTPvPVvQBOCGgWMTKFhd2g6MS+kcWoOJWyL\nV5Kb0WFsOLVb9/O2swf1BjYrjmzCJ8BX93P+mjX5u0eBhDZCCCGEEEIIIe5vFR7YxMTEANCxo+H1\nSWxsbGjatCkBAQHExMRIYFPDDYj+HTvzAmGMbX148wRorMp8rqjEGGqZW2FhalakrH+b7hirjcjR\n5gJwLfImVyOCaebmrqtTMJSBwgsM5/8poY0QQgghhBBCiPtdhS/wkZGRAYC5uXmx9SwsLArVF/cR\n+0agsdJNQSrJ7dgIftu7kie+m0C7j4ay67yP3nq2ltb0aJEX9DlZ2/Oi1zBMjU105cWFNflG9XiS\nOaM/1v38/vJZhda0EUIIIYQQQggh7geVsktUWSiKUt1dEGXlOUIXnrw/+BU+HDq+2OpLfNbz865l\nup+3nT3IsE4D9NZ9f/ArvDdoHI80ao1Rge2+SxPW5JORNkIIIYQQQggh7neyhY4oG3t3Vqea6UKQ\nOdv+4kJIIIqiGAzfBrXrXejnfRePkZ6lf2RVp8aedG7StlBYcyEksNRhTT59I21KOyJICCGEEEII\nIYSobpU2wubzzz/H3t7eYHlwcHCp6s2YMQN3d3eD5aIK2buzqdVk3ln1ve6hSf1Hseb4dl6eP5Xl\nb8zBo06TIoe1a+BBbTtnwuPvANDUtSER8Xdo5FK/VM161m/B+4NfYc62v0oV1uQrONLm/cGv4Fm/\nRamOE0IIIYSoCWQkuhBCVJ+a8Du40gKbHTt2VEi9d955p9IDm6ysLIyNjVGrK3/AkaIoZGVlodFo\nynV8VfZVp2F36PYCq1PNCoU17Rp4MH/PCt3P284e1BvYqNVqJg8YQ642l4HtelHPwa3MXfhw6Hge\na9uzzKHLqB5P0qZ+cwlrhBBCCHHfUKlUaLVacnJy0Gq1Vfu+TwghBIqikJOTA1Ctv4Mf2t/+gYGB\njBs3DhcXFzQaDRqNhubNm/N///d/pKSkVGhbN27c4L333qNZs2ZoNBrMzMxwdnamb9++LFiwgPj4\n+BrTV71Gr2JFhk2hsGbO6I950Wt4oWrbzh4weIpX+jzDhL4jyxXW5Ctv6CJhjRBCCCHuJyYmJrrp\n5snJydXdHSGEeOikpaWh1WqBkjdUqkwqpYLH+eTm5lbo0CFj44ofBLR27VpefPFF0tPTgbz/FHNy\ncnT9btSoEfv27aNhw4b33NbcuXP56KOPCu2GZWFhQXp6uq69WbNm8dFHH1V7XwuKj4/XTVX7adNC\nZm7/XVeWPy0pNiWBNh8OQqv8+0I20eA7cz1O1g4V2pcHTXh4eHV3QQghhBA1WG5uLvHx8ajVatRq\nNQ4ODlhZWWFiYlLywUI8gExNTau7C+IhoSgKaWlphIeH60bYNGzYsNShTcHP0XFxcdjZ2d1Tfyo8\nDTEyMiq5UjU6e/Yso0ePJjMzkxYtWvDnn3/SrVs3srKyWL58OW+99RZBQUEMHjwYPz+/ck9dAvju\nu++YMmUKAL169eKzzz6jZ8+eaDQaMjIy8PX1ZdWqVQbX8KnKvhZnxoZfUGvyXioF15BxsLLl8bY9\nsdCYM6hdb3q36oqFqVml9EEIIYQQ4mFhZGSEubm57gu7mJgYYmNjMTIyQq1Wo1KpqrmHQlQtmRYo\nqkL+NKj8kTUAVlZWmJlV32fcCh9hU9P17duX/fv3Y2try6VLl6hdu3ah8jVr1vDcc88B8MMPP/DO\nO++Uq53Tp0/TtWtXcnNzGT16NEuXLi3zf65V1Vd9CiaDTi89glpjXKYFf4VhMsJGCCGEEKWRnp5O\namoqgO59pIQ14mFU0wcFiAeTlZUVderUKVNgWNEjbB6qwObq1as0b94cgE8++YSZM2fqrefp6Ym/\nvz9Nmzbl6tWr5Wqrd+/eHDp0iDp16nDlyhUsLS1rbF/1uTuweaS5Jzs+Wlhh53+YSWAjhBBCiNLS\narVkZWWRnZ1d4UsPCHG/qM41RMTDRa1WY25ujrW1NWZmZmUOyWv8lKiabOPGjbr7I0aMMFhvxIgR\n+Pv7c+3aNQICAvDw8ChTO4GBgRw6dAiA1157rcxhTVX2tbTO3rzMiiObZISNEEIIIUQVUqvVmJmZ\nVeuQfCGq290zDYR4WDxUkwH9/PwAMDMzw9PT02C9Ll26FDmmLHbt2qW7P3To0EJl+XORS1JVfS2L\n95fPYsWRTZXahhBCCCGEEEIIIR6ywCYwMBCABg0aFDsP0t3dvcgxZeHr6wuARqOhTZs2bNu2jb59\n+2Jubo6FhQXm5ub06tWLJUuWkJubW619LY0vn31Xd19CGyGEEEIIIYQQovI9VFOiYmNjAXByciq2\nXsHy/GPKIjQ0FMgbuvfRRx8xe/ZsIG9Ia/4OUT4+Pvj4+LBixQrWr1+PlZVVlfc1Pj7eYFlCQoLu\n/jNdB2FZy4r3l88C0P0p06OEEEIIIYQQQojK8VCNsMlfZb+kOcAFF7VKSUkpczuJiYkA3L59m9mz\nZ9OgQQM2b95MRkYGGRkZXL58mSeeeAKAPXv2MGHChGrpq729vcFbo0aNCtUd1eNJ5oz+WPezjLQR\nQgghhBBCCCEqz0MV2OQraXX9guXl2Toxf9/2nJwcrKys2L9/P0OHDsXExAQADw8PNmzYQN++fQFY\ntWoVZ8+erZa+loWENkIIIYQQQgghRNV4qAKbWrVqASUv/FuwPP+Y8rQDMGbMmCKjVSBvetS0adN0\nP2/YsKHK+xoXF2fwFhQUpPcYfaHNhZDKWTtHCCGEEEIIIYR4WD1Ua9g4OTkREhJCVFRUsfUiIyML\nHVNWzs7Ouvvdu3c3WK9bt26oVCoUReHSpUtV3tfy7gmfv3bN+8tn8f7gV/Cs36Jc5xFCCCGEEEII\nIYR+D9UIGw8PDwBCQkLIysoyWK/g6JL8Y8qiZcuWuvs2NjYG65mammJhYQFAcnJytfS1vEb1eJLd\nnyzmw6Hjq6xNIYQQQgghhBDiYfFQBTadO3cGIDs7mzNnzhisd+zYMd39Tp06lbmdLl266O4Xt3NT\nWloaaWlpQNHRLlXV13shI2uEEEIIIYQQQojK8VBNiXrqqad46623gLyFfrt161akjqIo/P333wC0\nbdsWd3f3MrczYMAArKysSElJYd++fYwdO1ZvvQMHDugWDb47bKmqvhqSv3AyFN7iW9w7eT6FEEII\nIYQovYI74wpRkxX8rFfwM3W5KQ+Z4cOHK4BiZmamXL58uUj53LlzFUABlEWLFuk9R1JSkhIfH68k\nJCQYbGfq1KkKoJiamiqnT58uUp6enq506NBBVyckJKRS+lpeQUFBunPLTW5yk5vc5CY3uclNbnKT\nm9zkJrfS34KCgu75c/lDF9hcv35dsbW1VQDFxcVFWb58uRIaGqpcuXJF+eyzzxS1Wq0ASo8ePZTc\n3Fy952jevLkCKDY2NgbbSUxMVJo2baoAip2dnTJv3jwlKChIiYyMVLZv36506tRJ9xf55ZdfVlpf\ny0sCG7nJTW5yk5vc5CY3uclNbnKTm9zKd6uIwEalKP/OyXmIHD58mBEjRnDnzh295V27dmXr1q04\nODjoLW/RogVXrlzBxsam2OktwcHBDB06tMgOUPlUKhUff/wxX375JSqVqlL6Wl45OTncvn0bAGtr\na9Tqkpc7SkhI0G1hHhQUhK2tbYX2STy85LUlKou8tkRlkteXqCzy2hKVRV5bojI9DK8vrVZLUlIS\nAPXq1cPY+N5WoXmo1rDJ17NnTy5evMivv/7K9u3buX37NhqNhmbNmvHcc88xduxYjIyMDB5vbW2N\njY1NsTtAAbi7u+Pn58fChQtZv349165dIy0tDRcXF3r06MHEiRPx9PSs1L6Wl7Gx8T2tiWNra1vu\nbcOFKI68tkRlkdeWqEzy+hKVRV5borLIa0tUpgf59VWRgykeyhE2onLEx8djb28PQFxc3AP7D1BU\nPXlticoiry1RmeT1JSqLvLZEZZHXlqhM8voqu4dqW28hhBBCCCGEEEKI+4EENkIIIYQQQgghhBA1\njAQ2QgghhBBCCCGEEDWMBDZCCCGEEEIIIYQQNYwENkIIIYQQQgghhBA1jOwSJYQQQgghhBBCCFHD\nyAgbIYQQQgghhBBCiBpGAhshhBBCCCGEEEKIGkYCGyGEEEIIIYQQQogaRgIbIYQQQgghhBBCiBpG\nAhshhBBCCCGEEEKIGkYCGyGEEEIIIYQQQogaRgIbIYQQQgghhBBCiBpGAhshhBBCCCGEEEKIGsa4\nujsgapaMjAzOnj3L6dOnSUxMBGDIkCG0a9euwtrIzc3l7Nmz3Lx5k4iICDIyMnB0dMTT05MOHTqg\nUqkqrC1Rs1y/fh1fX1+Cg4NRFIW6devy0ksvVWqbYWFhLFq0SPfzyJEjadKkSaW2KapefHw8p06d\n4vz582RmZgIwadIkHBwc7vncQUFBrFy5slR1x48fj4uLyz23KWqOnJwc/P398fX1JTo6GoDu3bvT\np0+fSmkvLS2NgwcPcuvWLTIyMqhfvz7t2rWjcePGldKeqF6hoaH4+voSGBiIVqvFwsKC9957757P\nGxERwV9//VWmY/r160fXrl3vuW1RM6SmpnLmzBnOnDlDamoqUDnvgVJSUjh27BjXrl0jJSUFS0tL\nGjVqxKOPPoqtrW2FtiVqBq1WS2BgIL6+voSGhgLg4eHB008/XaHtKIrCuXPnOHPmDPHx8djZ2dGm\nTRu6dOlSoe3UeIoQiqJMnjxZeeSRRxQTExMFKHT7448/KqSNwMBA5YknnlCsra2LtJF/a9CggbJ4\n8eIKaU/UDGvXrlUef/xxxcHBocjfd5cuXSq9/UGDBhVqc8uWLZXepqgat2/fVsaMGaM0a9ZMUalU\nRV5fAQEBFdLOjh07DP7Ouvt29uzZCmlTVL8vv/xS6d69u2Jubl7k73nq1KkV3l5CQoLy1ltv6W0P\nUDp27KicOHGiwtsVVc/Hx0d56qmnFDc3tyJ/zw4ODhXSxqlTp0r9eyv/Nnfu3AppW1SftLQ05dVX\nX1U8PT0VIyOjIn/HFfkeKDU1VXnvvfcUCwsLva8njUajvPbaa0pCQkKFtSmq1x9//KF4e3vr/Sz3\n9NNPV2hb+/btU1q1aqX3tdW0aVNl//79FdpeTSYjbAQAv/32G7m5uWg0Grp06YKzszNbtmyp0Dau\nXbvG5s2bMTc3p1u3btSvX586deqQmprKtWvXdN8ovvTSSwQGBjJr1qwKbV9Ujz179rBz504AGjVq\nROfOndm5cycJCQmV3vaSJUvYvn07KpUKRVEqvT1RtUJDQ1m2bBkAtra2dOzYkZSUFE6cOFFpbU6Y\nMAEnJyeD5a6urpXWtqhay5Yt48qVKxgbG9O2bVs8PDxYvXp1pbR1+/ZtvL29uX79OgCenp5069YN\nGxsboqOjOX78OKdPn8bf3//h+2bxAXTy5Ek2btwIQO3atencuTPnzp3j5s2bFdZG7dq1+fTTT0us\n99tvvxEbGwvAoEGDKqx9UT1SU1P5888/AbCwsKBDhw6Ym5uzZ8+eCm0nNzeXQYMGcejQIQAcHR3p\n378/tWvXJjIykn379hEZGcnvv/+Or68vx44dw8zMrEL7IKrexo0b2b9/PyqVihYtWtC5c2dWrFhB\nbm5uhbazevVqRo8erftsOmTIEBo1akRUVBRbtmzh2rVr9O/fn3Xr1vHkk09WaNs1UnUnRqJm+O23\n35RTp04pWVlZiqIoyoEDByp8hM3169eV3bt3K5mZmXrLAwMDFQ8PDwVQVCqVcvr06QppV1SvPXv2\nKNu3b1diYmJ0jzVu3LjSR9hEREQodnZ2ikqlUiZMmCAjbB5AoaGhypIlS5SAgABFq9UqiqIoM2bM\nqNQRNv7+/hVyTlHzLVu2TDl8+LCSlpamKEreiK7810FFjrBJS0tTmjdvrgCKnZ2dsmPHDr31zpw5\nI6+/B8TJkyeV9evXK2FhYbrHHnvssQodYVMawcHButGJXl5eVdauqDypqanKggULlHPnzik5OTmK\noijKqlWrKvw90F9//aU75+DBg5WkpKQi/Xjuued0db799tsKaVdUr40bNyp79+5VEhMTdY9pNJoK\nHWETEhKiG2lav3595cqVK4XKY2NjlUcffVQBFCsrKyUyMrJC2q3JZISNAOC1116r9DYaN25c7Bz8\n5s2b8+uvv9KnTx8URWHz5s088sgjld4vUbn69etXLe1OmjSJ+Ph4xo8fT8+ePVmwYEG19ENUnjp1\n6vDiiy9WdzfEA2r06NFV0s7//vc/rly5glqtZvPmzfTo0UNvvQ4dOlRJf0Tl69y5c3V3AYClS5fq\nRp++/M1HOkkAAQAASURBVPLL1dwbUREsLCwYP358pbeTP3Ia4I8//qBWrVpF+vHnn3+yfv16srOz\n2blzJx9++GGl90tUrqoYzfLTTz+Rnp4OwMKFC2nWrFmhcnt7e9asWUPjxo1JSUnhq6++Yu7cuZXe\nr+oku0SJGsXT01N3vyqmzIgH0+rVq9m4cSMuLi5888031d0dIYTQKzk5mV9//RXIWwzUUFgjRGVY\nunQpAFZWVowYMaKaeyPuJ2lpaUDedGQ3Nze9daysrKhfv36h+kKUJH/6Xr169ejbt6/eOnXq1NF9\nIbx69Wq0Wm2V9a86SGAjapQbN27o7nt4eFRjT8T9Kjo6mjfffBOAH3/8ETs7u2rukRBC6Ld+/XpS\nUlIAGeEgqpaPj4/uPdczzzyDlZVVNfdI3E9atWoF5H25eufOHb110tPTCQkJKVRfiJLkv2buHllz\nt+bNmwNw584dzp49W+n9qk4yJUrUGHfu3OHtt98G8hbLq6rh6OLB8sYbbxATE8PAgQMZOXJkdXdH\nPGAuXLjA8ePHiY+Pp1atWjRt2pRu3bphaWlZ3V0T96EjR44AYGxsTPfu3QE4d+4cvr6+JCYm4uTk\nRLdu3XRvTIWoKIsXL9bdHzduXPV1RNyX3nzzTX755RdSU1N5/fXXWb58eaFFhbOysnj99dfJzs7G\nxMSE999/vxp7K+4n+dM0VSpVsfUKll+8ePGBXkZDAhtRLXx8fPDx8QHy0vng4GC2b99ORkYGrVq1\nYu3atfJtjyizDRs2sGbNGiwsLHTTDISoSKNGjSrymJWVFRMmTGDGjBlYWFhUQ6/E/erChQtA3g56\nYWFhjBs3jsOHDxep5+XlxW+//SYjT0WFSEtLY+3atQA0adJEpuKJMqtbty579+7l2WefZd26dRw/\nfpzHH38cNzc3oqKi2LNnD7du3cLJyYmVK1fK7y5RarVr1yYhIYFr164VW69geVBQUGV3q1pJYCOq\nxf79+/niiy+KPD527FjmzZtXZPEyIUoSFxfH66+/DsD06dNp2LBh9XZIPHAaNGiAp6cn9evXR6PR\ncOPGDfbu3UtKSgrff/89e/bs4dChQzINT5Ra/nbKiqLg5eVFREQEHh4e9O3bF1NTU06cOMGxY8fw\n8fGha9euHDlyhDZt2lRzr8X9bt26dSQnJwMyFU+UX9euXTl79ixjx45l27ZtLFy4sFB5jx49WL16\nNXXq1KmmHor7Ua9evbh8+TK3bt3i8OHD9OzZs0id/FAwX/7vsweVBDaiWnh5efHpp58CkJKSwsWL\nFzl48CBLlixh8+bNrFmzptp2FxL3p7fffpvIyEjatWvHO++8U93dEQ+Q5s2bc/r0ab3DbePj45k4\ncSJr1qzB39+fcePGsWHDhmropbgf5a9fk/9N4bRp0/jiiy8KDfX++++/GTVqFElJSbzwwgtcuHCh\nxKHiQhQnfzqUWq2WnfZEua1bt46xY8eSmpqKs7Mzjz/+OK6ursTExLB7926OHDlCo0aNmD9/vky7\nE6X2+uuv8/vvv6PVahk3bhz79u3TLV4NeeHMCy+8oNtJCh78Ra0lsBHVwtvbG29v70KPXbt2jREj\nRnDhwgUGDhyIj48P3bp1q6YeivvJtm3bWL58OUZGRvzxxx8YGRlVd5fEA8Td3R13d3e9ZXZ2dqxa\ntYro6GgOHDjAxo0b8ff3l1EQolQKrvng5eXF9OnTi9R57rnnOHr0KPPmzePixYvs3buX/v37V2U3\nxQMkJCSEAwcOANC/f3/q1q1bzT0S96ONGzfyzDPPoCgKzz33HIsWLcLc3FxXnp2dzVtvvcVvv/3G\nK6+8grGxsYSDolRat27NV199xUcffcT169dp2bIlw4YNo1GjRkRFRbFx40aioqLo2rUrJ06cAHjg\nZ2bILlGixmjatCnbtm3D3NycnJwc/u///q+6uyTuA4mJibz22mtA3iJ4HTt2rOYeiYeNWq3mo48+\n0v28c+fOauyNuJ8UfJM5duxYg/UKlh08eLAyuyQecEuWLNEt6imjHkR5TZ06FUVRqFevHkuWLCkU\n1gCYmJjwyy+/4OnpCcDHH39Mbm5udXRV3IemTp3KokWLcHFxITU1leXLlzN9+nR+//137ty5wyuv\nvMKPP/6oq+/g4FB9na0CMsJG1Ch169ald+/e7NixAx8fHxRFkaHfolhnz54lLCwMlUqFRqPhyy+/\nLFLn/Pnzuvt///03586dA+Ddd9+V3X1EhSg4XerWrVvV2BNxP3F3d+fixYtA8VuYFiwLDQ2t9H6J\nB9fSpUuBvNGBTz75ZDX3RtyPbt26xdWrVwF44okn0Gg0euup1WrdyPnw8HAuXbqkC3CEKMlLL73E\nyJEj8fHx4eLFi6SmpuLq6sqAAQNo0KABf//9t67ug/66ksBG1Diurq4AZGZmkpGRUSS1F0IfRVH4\n5ptvSqy3fPly3f1XX31VAhtRIQoGy/nfXgtRktatW7Nlyxag+C1M5YsLURGOHDnC9evXAXjhhRcM\nftAWojgxMTG6+/nv2Q0pWF7wOCFKw8zMjAEDBjBgwIAiZfk7KhoZGdGlS5eq7lqVksBG1Dj53x5a\nWVlJWCNK1KBBA90C1oZcvHiRTZs2AXnrQTRp0gRAto4XFSZ/1BZQaHE8IYozYMAAZs2aBcDVq1fp\n3r273noFty+tV69elfRNPHjyFxsG2R1KlF/BnRCjoqKKrVuw3NbWtrK6JB4yGRkZuhE2gwcPlilR\nQlSlGzducOjQISBvWzchSuLu7q53GlRBy5cv1wU2o0ePZsiQIVXRNfGQUBSFb7/9Vvezvm+ChNDH\ny8uLunXrEhoayvLlyw1+iF62bJnuvuygKMojPT2df/75B8ibPqBv1zshSqNhw4Y4ODgQGxvLli1b\n+P777zExMSlST1EU1q1bB4C5uTmtWrWq6q6KB9SMGTOIiYlBpVLx4YcfVnd3Kp0ENqJCZGZm8t13\n3wHQuHFjnn/++SJ1Nm/eTM+ePQsl8wX5+/vzzDPPkJWVBfBQ/AMUpbNu3ToCAgKAvO27H/TV4EXV\nuX79OqtXrwagd+/e9OjRo1B5cnIyhw4dol+/foV29MmXkpLCW2+9xa5duwAYNGgQ7du3r/yOi/vC\n999/T1paGvb29rz++utFytVqNTNmzODll19m//79fPXVV3zyySeF6mzatIl58+YB0LlzZ3r37l0V\nXRc13IEDBzh69CgAY8aMoUGDBsXWX7duHUlJSYCMrhHFi42NZf78+QC0bduWoUOHFipXq9W89NJL\nzJkzh1u3bvHqq6/yxx9/YGpqqquTm5vL+++/rxt9OmrUKJmCJ4C8kX75syk+++wzvXUOHTqEp6dn\nkc+MOTk5fPfdd3z11VdA3hbgd79vexCpFJlsL8jbFvns2bO6n4ODg1m4cCEATz31VKFvYtzd3Rk1\nalSh4xMSEnT/qB577DG9u6TUrVuXqKgounTpQoMGDXB1daVWrVrEx8dz+vRpjh8/rlv74ZtvvmHK\nlCkVfp2i6oWFhbFo0aJCj/3www/ExcVRt25d3Q5P+d58801sbGwKPTZixAjdtzS3b98u8zaky5cv\nZ8yYMQBs2bJFRtg8QH777bdC8+IPHTrE3r17gbxwz9HRUVfm5eWFl5dXoeO3bt2qezM6Y8aMIm8e\nQkNDqVevHpaWlnTr1o06derg6uqKsbExN27cYOfOnSQkJADg4eHBoUOHcHJyqoxLFVXs2LFj7N+/\nX/dzUlKS7ouJnj17FhpJZWtryxtvvFHkHI6OjsTGxtK4cWPd2iF3UxSFsWPH6kbRtG/fnn79+mFi\nYsLJkyfZt28fAM7Ozhw7dozGjRtX2DWK6pGens6cOXMKPbZ06VKuXbuGhYUFH3/8caGy0aNH07Bh\nw0KPffTRR7p12w4cOFBikNe/f3/27t2LiYkJYWFh8nvqAfb3338Xmkbp7+/PmjVrgLzXUvPmzXVl\nbdq0KbL4dGBgIB4eHkDeDnUFp9LlS05OpmfPnrpNHerUqcOQIUNwdXUlJiaG7du3ExwcDOTtAnvs\n2LFC/x+L+1NgYCBr164t9NgXX3xBTk4OrVq1YuTIkYXKPv300yJrsHXt2pWTJ08Chtf8GzJkCHv3\n7qVXr140btwYR0dHIiMj2blzJ7dv3wbgmWeeYeXKlRgbPwTjTxQhFEV55ZVXFKBUt759+xY5Pj4+\nXlf+2GOP6W3jzTffVNzc3Io9d+fOnZU9e/ZU9uWKKnT8+PFSv7YAJTg4uMg5nn76aV357du3y9yH\nZcuW6Y7fsmVLBVyVqCmaN29e6tfW//3f/xU5fsuWLbryGTNmFClPTExUnnzySaVWrVoGz2ttba28\n9957SkpKShVcsagqs2bNKvVrq0GDBnrP4eDgoABK48aNi20rOztbmTFjhmJubq73/AMHDlRu3bpV\nCVcpqkN0dHSZ/l/U975o6tSpuvIDBw4U215ISIiiVqsVQBk2bFglXZWoKQYPHlzq19aoUaOKHB8Q\nEKArHzt2rMF2EhMTlfHjxyumpqZ6z21sbKyMGTNGiYmJqcSrFVXpn3/+KdPvruzs7CLn6NKli67c\nkNmzZyuOjo56z+nk5KT88ssvSm5ubmVeao3yEERSojTyU/HSyF+wtSAzMzPdwq+Gtib96aef+Omn\nn/D39ycwMJCIiAji4+OxtLSkfv36dOrUCXd39/JfhKiR6tatW+KiwAXpW5RuxIgRtGjRAgBra+sy\n96FNmza6PjRt2rTMx4uaa9KkSURHR5eq7t2jayDv9ZD/2ujZs2eRcmtrazZu3Eh2djYnT57k5s2b\nhIeHk5mZiZ2dHa1ataJLly5YWFjc24WIGqd79+6l/t1laKrv+++/T2pqaokLIhobG/PZZ5/x9ttv\ns3v3boKCgsjMzMTNzY1evXrp/X9X3L8sLCzK9P+ivvdG3t7eum+WS5oOdefOHd2onaeeeqr0HRX3\npZEjR9KuXbtS1dVXz9HRUff67NChg8Fjra2tWbBgAbNmzeLw4cPcuHGD5ORkLC0tady4MT169MDZ\n2bk8lyBqKA8PjzL97lKr1UUee/nll0tci+3999/n7bff5vDhw1y7do2oqCjs7e1p2bIlXl5eGBkZ\nlbnv9zOZEiWEEEIIIYQQQghRwxSNvYQQQgghhBBCCCFEtZLARgghhBBCCCGEEKKGkcBGCCGEEEII\nIYQQooaRwEYIIYQQQgghhBCihpHARgghhBBCCCGEEKKGkcBGCCGEEEIIIYQQooaRwEYIIYQQQggh\nhBCihpHARgghhBBCCCGEEKKGkcBGCCGEEEIIIYQQooaRwEYIIYQQQgghhBCihpHARgghhBBCCCGE\nEKKGkcBGCCGEEEIIIYQQooaRwEYIIYQQQgghhBCihpHARgghhBBCCCGEEKKGkcBGCCGEEEIIIYQQ\nooYxru4OCCGEEELUNCdPnuTs2bNYWVkxevTo6u5OjXHgwAGuXLmCo6MjI0aMqLJ2lyxZQnp6Os88\n8wwODg5V1m5F++eff4iNjWXgwIE0aNCgursjhBCihlMpiqJUdyeEEEIIUXn8/f05evQoAEOHDqVO\nnToG6x47dowLFy4A8Mgjj9CpUyeDdW/evMnOnTsB6N27Ny1atKjAXlevjz76iG+++YY6/8/efYdH\nUb1vA7930xvpkB4IXXrvBKQKAtKko4AKIoqKIEoRfiCCIIKCUkRK6ChIJ/QOIfRAAgTSe+89O+8f\neXe+2WR307Mp9+e69nJ35syZZyYJ7j57znns7RESEqLpcKqMDz/8ELt370abNm3w+PHjSjnnv//+\nizFjxqBly5Z4+vQpJBJJpZy3IqxZswYLFy7EsGHDcOLECU2HQ0REVRxH2BAREdVwUVFR+PTTTwEA\nGRkZ+PLLL1W2XbJkCS5fvgwAGDFiBP777z+Vbd3c3LB06VIAeSNSqHq6efMmnj17BlNTU0yYMEHT\n4SjIysrCggULAADLly+v1skaAJgzZw5++eUXnDx5EpcuXUK/fv00HRIREVVhXMOGiIiohuvWrRt0\ndXUBANevX1fZLjs7G3fv3hVf37hxA+oG4sr7MjY2Rvv27cspWqpsBw8exKeffoolS5ZoOpRCNm/e\nDD8/P7Ru3RojR47UdDhlZmRkhG+++QYAMG/ePA1HQ0REVR0TNkRERDWcoaGhOLXp+vXrKpMwnp6e\nSEtLg4WFBczNzREXF4dnz54pbZuTk4M7d+4AAHr27AltbQ7apfIlk8mwceNGAMCMGTOq/egauQ8/\n/BDa2tp48uQJLl26pOlwiIioCmPChoiIqBZwdXUFAMTGxsLb21tpm2vXrgHIS8D06NFDYVtB9+/f\nR2pqqkLfROXp9OnTCAwMhLa2NsaPH6/pcMpN3bp1MWDAAADAn3/+qeFoiIioKuPXYURERLWAq6sr\nVq1aBSAvCdOiRYtCbeTJmd69eyM3NxenTp3CtWvXMGfOHJVt5X0XlJOTA29vb4SGhiIiIgKGhoZw\ncXFB+/btoaWlpTTG6Oho/PvvvwCAt99+G02aNFF7TXfv3sXjx48hlUoxY8YMlf0GBgbi8ePHiI2N\nhbGxMVq0aKH0+suiNOdQVnEpMzMTN2/eRHBwMExNTdG9e3fUq1evWDHExsbi1q1biIuLg52dHbp3\n7w5jY2MAwD///IOYmBg0b95c/Hn5+vri0qVLeP78OQAgKSkJW7ZsUeizOOvalCVmdbZt2wYA6N+/\nP+rWrauy3bFjxxAZGYkmTZrg7bffVtnu0KFDiI+PR8uWLdGzZ0+Ffcp+Fmlpabh58ybCw8Ph6OiI\nbt26wcDAoFC/vr6+8PLyQmpqKlq0aFGs6YETJ07E2bNncfz4cURGRpbL/SIiohpIICIiohovJSVF\n0NbWFgAI48aNK7Q/JydHMDExEQAI9+7dE27fvi0AEOrWrau0vyFDhggABENDQyErK0vc7uXlJYwb\nN04wMzMTABR61K1bV9i0aZPSPjMzMwVLS0sBgPDBBx8UeU3t2rUTAAi9evVSuv/ixYtCp06dlMbR\nrFkz4fTp0yr7/vbbbwUAgr29vdoYynKODz74QAAgtGnTRhAEQdi/f79Qr149hT6kUqkwZ84cITs7\nW2U/qampwmeffSb+fOUPU1NTYePGjYIgCEKbNm0EAMKMGTPE49zc3JTGnf/RsGHDCom5KJmZmYKB\ngYEAQFi1apXatl26dBEACJMmTVLbrmnTpgIA4bPPPiu0r+B1bdmyRTA3N1e4Lnt7e+Hs2bPiMRER\nEeLfQf5Hz549hYiICLWxBAUFie3d3NzUtiUiotqLI2yIiIhqASMjI3To0AEeHh5KFx5++PAhkpOT\nYWxsjHbt2kEQBBgYGCAqKgovXrxQKNktk8nEMuHdu3eHjo6OuO/+/fs4dOgQjI2N0alTJ9jZ2cHM\nzAyBgYF48OABoqKiMGfOHAQEBGDt2rUKMejq6mL8+PHYvHkz/v33X/zxxx8wNDRUej3Pnz/Ho0eP\nAAAffPBBof0bNmzA119/DUEQYGxsjJ49e8LOzg7x8fG4cuUKXrx4gXfffRdbtmzBJ598UvIbWs7n\n+PvvvzFjxgw0aNAAEydOhFQqxZUrVxAaGopNmzYBAH7//fdCx2VnZ2PYsGFiZS8HBwf06tULWlpa\nuHPnDubOnYusrCyl52zSpAlmzpyJmzdv4vnz56hTp06h0TTqRraUNubi8PT0RHp6OgCga9eupeqj\ntDZt2oTPP/8cb731FoYNG4bU1FScP38eoaGhGDVqFG7fvg0HBwf07NkTwcHBGDx4MGxtbfH8+XPc\nu3cPN2/exPDhw3Hnzh1IpcpXH3B0dIS9vT1CQ0Nx9epVTJ48uVKvkYiIqgkNJ4yIiIiokshHjQAQ\nXr16pbBv7dq1AgBh4MCB4rY+ffoIAIQtW7YotH3w4IHYz8qVKxX23b9/X/jvv/+E9PT0QuePjo4W\nJk+eLAAQJBKJ4OnpWajNvXv3ijXyYP78+QIAwcDAQEhMTFTYd/bsWUEikYgjdRISEhT2JyUlCWPG\njBEACDo6OsLz588L9V/UCJvyOId8VEfdunUFY2NjYf369UJubq64Py0tTRg8eLB4v/z8/Ar1sXLl\nSvF+zZs3T2FUi0wmE3766SdBX19fsLa2LjTCRu6zzz5TOppGmfKIuThWr14tXlfBn29B5TnCxtra\nWjAyMhK2bt2qsD8gIECwtbUVAAgjRowQJk6cKLRs2VLw9/dXaLdq1Sox7n///VdtPO+9954AQGjS\npInadkREVHtx0WEiIqJaIv9aMwUXE86/fo2c/LmqtgX7BIAOHTpgxIgR0NfXL3R+Kysr7N69G23a\ntIEgCNi+fXuhNp06dULz5s0BAG5ubkqvQyaTYf/+/QCAESNGoE6dOuI+QRDwzTffQBAEDBo0CDt3\n7oSpqanC8SYmJti3bx+aNm2K7Oxs/PLLL0rPo0p5nyMqKgrTpk3DV199pTAiw8DAAH/++SckEgkE\nQcCxY8cUjsvIyMD69esB5K3zsm7dOoVqXRKJBAsXLsSYMWMQHR1domssSmljLq7g4GAAeRXO8v98\nK1p0dDRmzZpVaESUs7Mz5s+fDwA4ceIE/v33X/z333+oX7++QrsFCxbAwcEBAIq8dhsbGwBAUFBQ\nOUVPREQ1DRM2REREtUTPnj3FhXnzT4uSyWS4efMmAMWETa9evQq1zf/awMAAnTt3LlEMUqkUI0eO\nBABxWlVBU6dOBQBcvHgRYWFhhfZfvHgRoaGhAApPh7p//764iO63336rshS0rq4upkyZAgBwd3cv\n0TVUxDnmzZundHv9+vXFBNaTJ08U9l27dg1xcXEAgC+//FJl319//bXac5dWaWIuLnmCycLConTB\nlcHcuXOVbu/bty+AvITdu+++i4YNGxZqo6WlJf4NPX36VO15LC0tAeQl3lJSUsoSMhER1VBcw4aI\niKiWMDExQbt27XD//n2FJMzTp0+RkJAAfX19hQRMt27doK2tjdDQULx58wYNGzaEIAhicqdr167Q\n1dVVeb43b97A29sbcXFxyMjIgCAIAICXL18CyKuspMyUKVOwaNEiyGQy7Nu3TxzZILdnzx4AgK2t\nrVgeWU4eGwB4eXnhzZs3ACCeO/9//fz8AAChoaHIzMyEnp6eymupyHPY2dnB2dlZ5fkcHR3h7e2N\n2NhYhe0PHjwQnxesepRf27ZtYWJiguTk5KIurdhKG3NxxcfHA0ChkUsVzd7eHo6Ojkr32drais/V\nratjZ2cHAEVeu5mZmfg8Li5OrOhFREQkx4QNERFRLeLq6or79+8jMDAQgYGBcHZ2Fqc4de7cWSGh\nYGRkhHbt2sHT0xPXrl1Dw4YN8fz5c8TExIh9KbNjxw6sXr0ar1+/VhtLSkoKZDJZoYVZ7e3t0a9f\nP1y4cAFubm4KCZuUlBRxqsmkSZMKlfLOPyJH1UgJZRITE9UusFuR55CPtFBFPr0sMzNTYbt8FIqR\nkZHaxIZEIoGtrW25JmxKG3NxmZiYAECljzxRN6In/99GcdoVde35fx6VOe2LiIiqDyZsiIiIapE+\nffqI66lcv34dU6ZMEUfb5J8OJderVy94enri+vXrmD59usLInD59+hRqv3DhQqxZswZA3gfXNm3a\nwNnZGSYmJmI1KW9vb9y4cQMAlCZsgLxpURcuXICXlxceP36Mtm3bAgD++ecfpKWliW0KkldE0tLS\nwkcffVSsewJA6Zo7qpT3OVRVEipIPnJHTiaTiXEUpThtSqK0MReXPLEln/JVHooTS3Gvqzjtijqf\nfASOjo6OwmgbIiIiOSZsiIiIapFevXpBKpVCJpPh2rVrmDx5spg8UZWwWb9+vTgKR/5fPT09dOnS\nRaGtv7+/WKp7zJgx2LZtG8zNzQv1+euvv4rnVGXUqFGYPXs2kpOTsWfPHjFhI58O1bZtW7Rq1arQ\ncVZWVgCA3NxcrF69ukI+CFfGOYpDPsojOTkZGRkZapNOUVFRlRVWuZBPKyrOtckTgTk5OWr7TExM\nLL8Ay4F8pFr+qVZERET5cdFhIiKiWsTU1BRt2rQBkDfCxtvbG9HR0dDW1kb37t0Lte/ZsyckEgkC\nAgIQFBQkJlq6dOlS6EP01atXxVEfW7ZsUZqsAYBnz54VGaehoSHGjBkDANi/fz9yc3MRHBwsJowK\nLjYs17FjR/H55cuXizxPaVTGOYpDnrASBAH3799X2c7Pz0/teiqqFk3WpG7duonPi1q4WJ4wi4iI\nUNkmPDwckZGR5RJbeXn48CEAKP27IyIiApiwISIiqnXka8/4+vri0KFDAID27dvDyMioUFsrKys0\na9YMAPDXX38hPDxcoY/85OuNSCQSlQv4RkdH459//ilWnPIpT5GRkTh//jzc3Nwgk8mgra2NiRMn\nKj2mT58+4nSan376qchRF6VRGecobhzypNlff/2lsp2y8un5GRgYAADS09PLL7gy6t69uzhyxsPD\nQ21beUWqBw8eqLyGrVu3lm+AZRQXFwdfX18AqteCIiIiYsKGiIiolsn/AfG3334DoHw6lJy8vLe8\nbcE+5Jo2bQogb8TH5s2bC+2PjY0VS3oXN8769esDyJsK5ebmBgAYPHiwygWCDQwMsHz5cgB55bcn\nTZqkdrHdkJCQYo34qexzFIeFhYWY1NqzZw/2799fqI27uzt+/fVXtRWI5NWeIiIiqswoFENDQ3Hk\nye3bt9W2HTJkCIC8hOGKFSsK7T979izWrl2rNCGpKfmvqX///hqMhIiIqjKuYUNERFTL9O7dGxKJ\nBIIgiOt6FJWw2bZtm9hWV1dX6TSOt99+G82bN4ePjw8WLlyIixcvwtXVFSYmJvDx8cGhQ4dgbGyM\nhQsX4vvvvy8yTolEgilTpmDFihU4cuQIcnNzAShfbDi/WbNm4enTp/jzzz9x+PBhXLhwASNGjECL\nFi2go6ODyMhIRERE4P79+/Dy8sK3336L1atXFxlPZZ+jOFavXo2LFy/Cz88PkyZNgpubG95++21I\npVLcuXMHx44dw8cff4y7d+/iyZMnSqc/DRw4EBKJBDKZDAMHDsT48ePF6WympqaYMGFCucddHDNm\nzMC1a9dw+vRppKamqky4uLq6olevXrhx4wZ++uknPHr0CAMGDEBOTg5u3LiB06dP44cffsCBAwfE\nkvKaJh/Z5urqikaNGmk4GiIiqqqYsCEiIqplLCws0KpVKzx9+hRAXmKkZ8+eKtvLR9jIderUSZxG\nk5+2tjZOnjyJESNG4Pnz57h48SIuXrwo7m/bti2OHj0Kd3f3Ysc6depUrFixQkzWmJmZYfjw4UUe\n98cff6Bjx4744YcfEBISgl27dilt5+TkhNatWxc7nso+R1HMzc1x5coVTJgwAbdv38a5c+dw7tw5\ncf+HH36I33//He3atQOQN3KloMaNG2P58uX44Ycf8PTpU/H3AgAaNmyosYTN2LFj8dVXXyE2NhZH\njx7FlClTlLaTSCQ4cuQIhg0bBk9PT4V7IJVKsXjxYixduhQHDhyozPBVSk1NFUvTf/rppxqOhoiI\nqjImbIiIiGqhefPmidMyrK2tVS4QDORNmfn666+RmpoKIG8kjSoNGzbEkydPcO7cOdy5cwdJSUmo\nV68eunbtirfffhsSiQQtWrTAzJkzARRdHrlRo0b44YcfxAVl27dvr3J9nIKmT5+OKVOm4NatW7h7\n965YKalevXqwsbFB586dxfVPCuratStmzpyp9r6U9Rx9+/aFvr4+HB0d1Z5j8ODBsLGxUdmPk5MT\nbt68iWvXruHatWuIj4+Hra0t3nnnHTFRJK9IpOp6lixZgnHjxsHd3R0BAQFIS0uDIAiFpp6VV8zF\noa+vj48//hirV6/Gzp07VSZsgLz7fffuXbi7u+P27dtITk6Go6MjRo0ahQYNGgAAxo8fj4iIiEIJ\nyOJel56envh7K5/+p0znzp0xc+ZMldPQjhw5gtTUVNjb22PUqFEq+yEiIpIIgiBoOggiIiIiqhgh\nISFiIuLw4cMYO3ashiMqvoSEBDRq1AixsbG4detWta+olJubixYtWuDly5fYvXt3kdP7iIioduOi\nw0REREQ12LZt2wAAWlpaSkeXVGVmZmZYunQpgLxRQNXdvn378PLlS3To0EHtiCEiIiKAU6KIiIiI\nqrXHjx+jTZs2ShcUPnbsGNasWQMAeO+992BjY1PZ4ZXZ7Nmz4efnh8zMTERFRamsEFYdREZGYubM\nmZgxY4bSnxcREVF+nBJFREREVI21bdsWCQkJ6NOnD5ydnWFlZYXY2FhcunQJN2/eBJC3TtHDhw/h\n4OCg4WiJiIiouJiwISIiIqrGpk+fjl27dkHVW7qePXti586dLB9NRERUzTBhQ0RERFTNhYaG4urV\nqwgODkZERAR0dHRgb28PV1dXsaQ3ERERVS9M2BARERERERERVTGsEkVEREREREREVMUwYUNERERE\nREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNE\nREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUw\nYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNERERERERE\nVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNERERE\nREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNE\nREREREREVMUwYUNEREREREREVMUwYUNEREREREREVMUwYUNERFTLnDhxAg4ODnBwcMBPP/2k6XBq\nrOLc5169eoltcnNzKznCqm/ZsmXi/XF3d9d0OERERJWKCRsiIiIAEyZMED8YOjg4wNHREUFBQcU+\n/tatWwrHOzg4YMGCBRUYcemlpaUhNDQUoaGhSExM1HQ4haSkpODOnTvYunUrPvvsM/Tu3RtOTk7i\nfT1y5IimQyyW4tzn8PBwsY0gCJUcYeVasGCB+DO8evVqsY5JSEgQ7096enrFBlgDrF+/XrzHb968\n0XQ4VS4eIqLqRlvTARAREVUF0dHRCA0NVdi2Z88eLF68uFjH79ixo9DxcXFx5RZfbfHPP//g/fff\nV5u8SE1NrcSIqLzExcWJfyMZGRkajqZmSkpKEu9xdna2hqOpevEQEVU3HGFDRESkwp49e4rVLi0t\nDf/8808FR1M7ZGRk1PiRJkRV3W+//SaOjAkICNB0OEREtRYTNkRERAW0bdsWAODr64vbt28X2f7f\nf/9FcnIyAKBdu3YVGVqtYGxsjK5du+Ljjz/G77//jqtXr6JLly6aDqtC3Lx5E8HBwQgODoa2Ngc+\nF7R8+XLx/gwePFjT4dQa8pExoaGhyMnJ0XQ4RES1Ft8ZEBERFTB16lQ8ffoUMpkMu3fvRvfu3dW2\n37VrFwDAzMwMI0aMwKNHjyohyppp7NixmDRpEiQSicJ2fX19DUVUsWxsbDQdQpVmamoKU1NTTYdB\nRESkEUzYEBERFeDo6Ii+ffvi0qVLOHToEDZu3KgyYRAUFIQrV64AAMaPHw89Pb0Sn+/WrVv4999/\n4enpicjISGhpacHW1hY9e/bE+PHj8dZbbxW7r+zsbOzbtw9Hjx7FmzdvIJPJYG9vj0GDBuGDDz5A\n3bp1SxxfVFQUDh06hEuXLiEoKAgJCQkwNzdH06ZNMWTIEIwbNw46Ojol7leZ0tw/TSiv+9yrVy/4\n+/sDAAIDA6GlpVWoTaNGjZCRkQELCws8ffoUAHD//n3s3bsXDx8+RHh4ONLT03HgwAH06tWrUJxH\njx7FuXPn4OPjg5iYGOjr68PR0RFvv/12iX8ncnJycOLECZw/fx5Pnz5FTEwMtLW1YWNjAycnJwwY\nMABDhgyBubm5eMyUKVNw5coVxMfHK2xT9rM+c+YMWrduLb5etmwZ/vrrLwB560QNGjRIbXyBgYHY\nv38/rl69itDQUGRkZMDa2hpt2rTBiBEj8M477xR5jTNnzsTp06cBACdPnkS7du0QFRWF3bt3w93d\nHSEhIZBKpXBxccGwYcMwbdo06OrqFtkvERFRiQlEREQk9OvXTwAgABCOHDkiuLm5ia8PHDig8rgV\nK1aI7e7evSv89NNP4usZM2aoPWd0dLQwdOhQsb2yh1QqFWbOnClkZGQUeQ2vXr0SWrVqpbIvS0tL\n4dSpU8KBAwfEbd9++63K/mQymbBy5UrByMhIbYwuLi7CvXv3ioyvLFxdXcXz7dy5s0LPVZTyvM8N\nGzYU22RnZytto6enJ/abmZkpfPrpp0rPe/78eYXjzp07J7i4uKj92RkbGwubN28u1nWfPXtWIV5V\nD21tbYXf10GDBhV5jPzh6empcM65c+eK+44dO6YyNplMJixZskS8V6oeXbt2Ffz8/NRe5+jRo8X2\nd+7cEY4fPy5YWFio7LNFixZCSEhIse5hRfvhhx/EuHx8fErdT/5/13x9fTUeDxFRbcU1bIiIiJQY\nNWoUTExMAAC7d+9W2U6+MHGzZs1KtM5KTEwMunfvLn6Tr4pMJsPWrVsxZMgQtVVWQkJC0LdvX3h5\nealsExsbi9GjR8PT07PI+GQyGSZMmIDFixcXWZXJz88Prq6uuHv3bpH9VnflfZ9L6vPPP8eff/6p\ndJ+Qb7Hmv//+G0OHDoWfn5/a/lJSUvDZZ59h1apVattt2bIFQ4cOLVZp5pycnEpfOPqDDz7AihUr\nkJmZqbbd3bt30a1bN7x69apY/bq7u2P06NFqK749f/4co0ePhkwmK1HMRERERWHChoiISAlDQ0OM\nHTsWAHDhwgWEh4cXanPz5k34+voCyPvAWBIfffSReCwADBo0CMeOHcPLly/x/Plz7NmzB23atBH3\nX758GcuXL1fZ38cff6xQVnzixIlwd3eHr68vHj9+LFZ9yczMxK+//lpkfD/++CMOHTokvn733Xex\nb98+PH36FP7+/njw4AF+/fVXODs7AwDS09Mxbtw4pKenl+g+VDflfZ9LIi4uDtu2bYNEIsGkSZNw\n6tQpvHz5UlyU19XVFQBw7949zJo1C7m5uQCAFi1aYMOGDfDw8ICfnx+8vb1x4MABsT0ALFmyBHfu\n3FF63mvXrmHOnDliQsLAwACzZ8/GmTNn4OPjg5cvX+Ly5cvYtWsXJk6cqDAdCgD27t2L4OBgTJgw\nQdzm5uYmxp3/kf93vrj++usvuLm5ia9dXFzw559/4unTp/D19cXZs2fx/vvvi/sjIyMxceLEYi2m\nu3z5cuTk5KB79+5wc3PDs2fP8ObNG7i7u2Po0KFiOw8PD5w8eVJpH97e3mLFpfJ49OnTp8T3iIiI\nqilND/EhIiKqCgpOiRIEQbh27Zq4bc2aNYWOmTFjhjhtKTg4WBAEoVhTojw8PBSmVCxdulRpu+zs\nbIXpGfr6+kJ0dHShdrdu3VLob8eOHUr7i42NFdq2bavQVtlUndDQUEFXV1cAIOjo6AhHjx5VftME\nQUhKShK6d+8u9lfc6TUlVRWmRJX3fRaEkk2JAiBIJBLh0KFDauPs2rWr2H7OnDlCTk6Oyrbfffed\n2Padd95R2ib/tbi4uAgvXrxQe35V1yH/ewEgnD17Vm0fckVNicrKyhLs7OzENr169RJSUlKU9rVt\n2zaFn4mqqY75/+YACHPnzhVkMpnStmPHjhXbTZo0SWmbR48eFXtKWHEeTZs2VXm/EhMTheDgYCE4\nOFjlz6E4ymtKVHnFQ0RUW3GEDRERkQq9evWCi4sLgMLTotLT03HkyBEAQP/+/eHg4FDsfnfs2CE+\n7927N5YtW6a0nba2Nnbu3Ak7OzsAQEZGBvbu3VuonbxKFQCMGzcO06dPV9qfhYUF9u3bB6lU/f/+\nt2zZgqysLADAd999h5EjR6psa2Jigt27d4tVnf755x+1fVdn5X2fS2PatGkKo0UKunfvnjg1rWPH\njti4caPShYzlVq5ciRYtWgAAzp8/j6SkJIX9169fx+PHjwHk/T7+999/aNq0qdoYK7M8+blz5xAW\nFgYAMDIywsGDB2FkZKS07ccff6wwyke+mLE6bdu2xfr16wtVLZNbvHix+Pzhw4clCb1C1KlTRxyJ\nUxXKxFe1eIiIqhv+y0nFlp6ejkePHuHevXvw8PDAw4cPxXUN9u7dWyOG6Jb1Gt+8eaMwxFyd4lS7\nICLNkkgkmDp1KpYtWwZvb2/cv38fHTt2BAAcPXpU/HBb0ulQ169fF59/+eWXKj8MAnkJkU8++URM\n6ty4cQNffvmlQpsbN26Iz+fMmaP23G+99Rb69euHCxcuqGxz/vx58flHH32ktj8gr4pR06ZN8eLF\nixq9jk153+fS+Pjjj9Xuz/+zmz59epFJI6lUinfeeQfPnz9Hbm4uPD090a9fP3F//vhHjRqFVq1a\nlTLyipH/b2ncuHFiclOVefPm4cCBAwDy1rPJyclRm0iYNm2a2nvYqlUrGBoaIi0tDREREUrbtGjR\nAsHBwWrjKomyVmTz9vbGwIED1bZJTk4Wn/fq1Utt0q9Ro0a4evVqmWIiIiLlmLChYomOjoadnZ3K\n+d4ZGRmVHFH5K49rzM7OVljbQJ2avs4DUU3xwQcfYPny5RAEAbt37xYTNvLRFnXq1FE7AqUgmUym\nsOBpcZLd+dt4e3sr7MvNzcXLly8BALq6uujcuXOR/fXq1UttIuHRo0cKbeWEfAvJyp/L/xsVFQUg\n79+2pKQk1KlTp8g4qpOKuM8lJZVK0aFDB7Vt8o/yWLZsGdasWQNA/c8u/6iayMhIhf7kZcQBYPDg\nwaWMvOL4+PiIz4vzt9S+fXvUqVMHSUlJSE1NRWBgIBo2bKiyfcuWLdX2J5FIYGZmhrS0NKSkpCht\no6OjU6IReBUtKyur2O9VAKhMRMkZGxuXNSQiIlKBCRsqltzcXGhra6NTp07o3LkzOnfujMDAQHz/\n/feaDq3clPc17tq1S+FbyoKsrKxKGyoRVaL69eujd+/euHbtGg4cOIBffvkFUVFRuHz5MgDg/fff\nh4GBQbH7S0hIEBdvNTQ0LLRAqzKOjo7i84LVahISEsQP3tbW1tDV1S2yP3t7e5X7kpKSxOlQABAY\nGFhkfwUlJyfXuIRNed/n0jAxMSlydEVMTIz4XJ5EK4n8IysK9idfYLoqyf/3UJykiEQigb29vZik\niouLU5uwMTQ0LFafAFglioiIyh0TNlQsdevWRXJyssKwYWXrKFRn5X2NlpaWVeobNSIqvQ8//BDX\nrl1DbGwsTp06hRcvXogfzj788MMS9SWv3ANA7TSD/PL/u5T/eEDxQ2Jp+iuoPEZMCpVc0rkylPd9\nLo3i9FfWn1/Bn13+37equAZJef891QbFmaL122+/Ye3atQDypgLWr19fZduyTtEiIiLVqt7/ealK\nkkqlFbJ4YlVSG66RiEpnzJgxmDNnDlJTU7F79268ePECQN7aDT169ChRX/lH1KSkpCA9Pb3IETr5\np6kUHJFjZmYmPo+NjYUgCGrXxAHUj7ywsLCARCKBIAgwMDBQmL5VXLa2tiU+pqor7/tcUSwtLcXn\nhw4dQvfu3Ut0fMHfLwsLC/G5stL2mpY/3ujo6GIdo+7vqSIUZ82YkijrmjHFmaKVf4ScjY0Nv4Ai\nItIQJmxIIy5evIgjR47g4cOHiI2NhbGxMd566y2MHj0ao0ePZuKEiKoUY2NjjB49Gnv27MHJkyfF\nUQglXWwYyPt239HREcHBwRAEAZ6enujdu7faY/Iv5CuvWiUn//AVEhKC1NRUeHt7i1V/VPH09FQb\nn7OzMwICApCeno7k5GQ0b968GFdWs5X3fa4ojRo1Ep8HBgaqrShVHE2bNsXZs2cB5C3wO27cuDL1\nV97y/z14eHhg9OjRatv7+/uLiTT532JFK+maMUXhmjFERLUHPxVTpYqNjcXAgQMxYMAAbNu2Dffv\n34e/vz+8vLxw6NAhvP/+++jVq1ehRQ+JiDRNnpyRJ2skEgmmTJlSqr7yj3rIX+JbGZlMhr///lvp\nsXLdunUTn+cvPa1MTEwMTp48qbZN/vW3fv/9d7Vta5Pyvs8VIf/Pbtu2bQrrEZVG3759xedubm4K\na9qUVP51f7Kzs8sUl1z+v4d9+/YVOSUsfynvtm3bFmuNGiIiIk1hwoYqTWpqKvr06YMLFy7AwMAA\n3377LW7evAk/Pz88ePAAy5cvh6GhIW7fvo1hw4aV+U2mpv3222/o2rUrXFxc0KpVKwwbNgzr168v\ntGAoEVUPffv2VVh0teDrkpg4caL43M3NDWfOnFHZdtWqVXj8+DGAvCRR/mPlJkyYID7/7bffcO/e\nPaV9yWQyzJw5s8gqdTNnzhSfb926tVjreQmCgH379uHIkSNFtq2uyvs+V4QhQ4bAyckJAPD69Wt8\n9NFHKqsf5vfw4UOxdHx+77zzjjgKJTk5GePGjVNZDako+aeVBQUFlaqPgoYPHy6OOAkLC8M333yj\nsu29e/fwyy+/iK8nT55cLjEURb5mTHk9rl27VilxExGR5jFhQ5Vm0aJFePbsGUxMTHDz5k2sXr0a\nPXr0QIMGDdC+fXssXboU58+fh46ODjw9PRW+Ua6OLly4AA8PD/j7++PZs2c4deoU5s2bB2dn5yK/\nmSWiqkcikeDhw4fih6Zjx46Vuq93330Xbdq0AZCX6Bg1ahRWrFihMLrw9evX+OSTT7BkyRJx27hx\n49C4ceNC/Q0bNkyctpSVlYUBAwZg06ZNSExMFNvcv38f77zzDo4ePVpkfJ06dRITQzKZDFOmTMHY\nsWNx+fJlpKWlie1kMhkeP36Mn3/+Gc2aNcPkyZPLdepHeQgJCYGDg4P4kJfmLo3yvs8VQVdXF6tX\nrxZfu7m5oUOHDti7d2+hNXWCgoLg5uaGAQMGoGPHjrh582ah/nR0dLBy5Urx9eXLl8X+4uPjxe0Z\nGRl49eoVNm3ahIEDByIzM7NQX82aNROfb9u2Df7+/mW6ViBvrZU5c+aIrzdv3oyxY8fCy8tL3BYf\nH4+NGzeif//+Ylx2dnaYPn16mc9fHPLpdOX1qFevXqXETUREVYBAVEpubm4CAAGAcPbsWbVt4+Pj\nBQMDAwGAsGrVKrVtP/jgAwGA0KVLl/IMt1RKco2CIAg+Pj5Cs2bNhCVLlggnTpwQHj16JLx+/Vq4\nfPmyMHfuXEFfX1/s76+//qqEKyCi4urXr5/493nkyJFS9/PTTz+J/cyYMUNlOy8vL8HY2FhsC0CQ\nSCSChYWFYGpqqrAdgODs7CzExsaq7O/OnTuCrq6uwjFSqVSwsrISDA0NFbYPHz5cfP7tt98q7S81\nNVXo1KlToTikUqlgYWEhWFlZCVpaWoX2//rrr6W+d3Lt2rUT7O3tFR75r83c3LzQflX/b/H391eI\nz8vLq0yxlfd9btiwodgmOztbaRs9PT0BgGBpaVnsOBcsWFDoZwNAqFOnjlCvXj2xz/yPfv36qexv\n5syZhdpLJBLBzMxMMDc3L7QvPT29UB9hYWGFfmcK/iyfPHmicMzcuXPFtseOHVMaW0ZGhtChQ4dC\nMRgbGwtWVlaCVCpV2K6trS1cuHBB5bWOHj1abHvnzp0i77W9vb0AQNDS0iqybXWxYsUK8R74+vpq\nOhwiolqLI2yoUly5ckUcGj527Fi1bfv06QMAePDgQbUrt9m4cWP4+Pjg//7v/zBs2DC0bdsWDRs2\nRN++fbFhwwbcuXNHrEjx5ZdfaqSCCBFVDS1btsTVq1cVqq8IgoC4uDiFERsA0K5dO9y8eVOhYk9B\nXbt2xb///gsjIyNxm0wmQ0xMjDgqRiKRYPny5QpTe1QxNDTE1atX8eGHHypUQ5LJZIiLi0NMTIzC\nv9FSqRRTp04t8yK3QN7UltDQUIVH/mmy8fHxhfYXvGeqFFXZqSjlfZ8rypo1a/Dnn38WWqA2KSkJ\nkZGRhUbAdOrUCcuXL1fZ359//only5crlHAWBAEJCQkKI23UsbW1xddff62wreDPsjTTofX09HDx\n4kX0799fYXtKSgpiYmIUSrKbm5vj5MmThdoSERFVRUzYUKV49uyZ+Lxfv36oX78+6tevD2dnZzg7\nO8PJyQlOTk5wdHQU55/n5OQUehP49OnTMg8l/vDDDyvsOrW0tNTub9u2LdauXQsg743kwYMHKywW\nIqr6OnTogJcvX2Lt2rXo2rUrtLX/V7xRX18f/fv3x86dO+Hp6VmssrrvvvsuvL298fHHH8PKykrc\nbmhoiBEjRuDy5ctYunRpseMzNDTEzp078fTpU3z22Wdo1qyZQhU/HR0ddO7cGUuWLMHr16+xe/du\n2NnZFbv/yuDr6ys+d3FxQdOmTcvcZ3nf54oya9YsBAQE4Mcff0TPnj2hp6ensL9x48b46KOPcP36\nddy7d09tiXqJRIKlS5fi5cuX+PLLLwv9LhgZGaFZs2b4/PPPcf78eejr6yvt5+eff8auXbvQrVu3\nQvGUhZmZGS5cuIBjx45h2LBhMDExEfdJpVK0bt0aS5cuxZs3bzB48OByOy8REVFFkgjC/y93QVRC\ne/fuFSuknD17Vu0boK+//hq//vpric8RHBys8CHl/v376NSpU8mDzWfo0KE4depUsdqW5BqLKzk5\nGWZmZpDJZJgwYQL2799f5j6JqOxiYmLECjOWlpYwMDAoVT/JycniaA8jIyNxVF1xyEfYaGlpKSzQ\nWlpJSUmQyWSF+kpPT0dsbCyAvDVA6tSpU+w+ZTIZ4uPjIZFIYG5uXuYRK8qEh4eXeISlqutYvHgx\nfvzxRwB5FYJmzJhRLjHmV5b7HBERIS4KrCopFxoaCkEQoKWlBVtb2zLFmpycjPT0dJibmyuMlimN\n3NxcxMXFwdDQUGHEUUmOT0xMRHp6ulh9rV69egpxJSYmIjk5GQBgZWWlMhGkTHJyMjIyMmBhYVHk\nFyr5xcXFiaOl6tatq1DdShn5z1AikcDe3r7Y56nK8v87ZmtrW6L7R0RE5Ue76CZEZSf/4COVSvHm\nzRuFb5HVKfjGtE2bNggODi6XWDTFxMQEpqamiI+PF9/IE5Hm5R8pURYmJiYK3+6XhEQigaWlZbnE\nAUBlIsbAwKBYI3aUkUql5RqjMmVNSuR39epVAED9+vUxderUcus3v7LcZxsbmyL7L88kQFl+PwvS\n0tKCtbV1mY5XN80PAExNTWFqalqq/kt7rRYWFkXGlV9xfobVTXn+nhARUekxYUOVon79+gDyvplN\nSkpC69atS9WPvNJCdZadnS2WROWbISKiipOeng5PT08AwHfffVfmESVERERElYlr2FCl6Nevn/h8\n7969GoxE8y5evIjs7GwAQKtWrTQcDRFRzXXnzh1kZWXB0dGxQtcvIyIiIqoITNhQpXBxccGwYcMA\nAL///js8PDw0HJFmJCQkYN68eQDyphWURzUVIiJSrkuXLggODsaTJ0+KXIeEiIiIqKphwoYqze+/\n/466desiIyMDffv2xapVqxASEiLuz83NRXh4OE6ePInZs2eXapFiTRs4cCA2btyIFy9eIDU1Vdye\nmpqKI0eOoGPHjvDx8QEAfPHFF2jevLmmQiUiqvGMjIzg4OBQooWfiYiIiKoKVomiYpsyZQquXLki\nvk5LSxPLbltZWSmU53z//fexfv36Qn08e/YMI0eOxOvXr8Vtpqam0NHRQVxcHGQymbh93rx5WLdu\nXUVcikplvUZtbW2FyibGxsYwMDBAXFycwvbPPvsMv/32m0JJVCIiIiIiIiI5LjpMxRYdHY3Q0FCl\n+2JiYhRex8XFKW3XsmVLPH36FDt37sSBAwdw7949sWykjo4O7Ozs0KlTJwwaNEicQlWZynqNly5d\nwtmzZ3HhwgW8fv0aSUlJ4gLDzs7O6Nu3L2bNmoUuXbqUf/BERERERERUY3CEDRVbTEwMMjIyitXW\nyMioWEPQBUEQR7CYm5tDIpGUKcayKu9rTEtLQ0pKCkxNTRVG5xARERERERGpw4QNEREREREREVEV\nwwU0iIiIiIiIiIiqGCZsiIiIiIiIiIiqGCZsiIiIiIiIiIiqGCZsiIiIiIiIiIiqGJb1JqVycnIQ\nHBwMAKhTpw6kUub2iIiIiIiIiFSRyWRISkoCADg6OkJbu2wpFyZsSKng4GC4uLhoOgwiIiIiIiKi\nasfPzw8NGjQoUx8cNkFEREREREREVMVwhA0pVadOHfG5n58fzMzMNBdMDRMeHq7pEIiIiIiIqg1b\nW1tNh0BULAkJCeJMlfyfqUuLCRtSKv+aNWZmZjA3N9dgNDVLenq6pkMgIiIiIqo2+FmEqqPyWAeW\nU6KIiIiIiIiIiKoYJmyIiIiIiIiIiKoYJmyIiIiIiIiIiKoYJmyIiIiIiIiIiKoYJmyIiIiIiIiI\niKoYJmyIiIiIiIiIiKoYJmyIiIiIiIiIiKoYJmyoSMnJqZoOgYiIiIiIiKhWYcKGiuTz0l/TIRAR\nERERERHVKtqaDoCqvqCQcE2HQERUIQRBQHZ2NjIzM5GbmwtBEDQdEhFRjSWRSKCjowN9fX1oaWlp\nOhwioiqPCRsqUlJSKhISk2FmaqLpUIiIyk12djaSkpLEJI1EIoFEItFwVERENZdMJkNOTg7S09Nh\nYGAAIyMjTYdERFSlMWFDxRIYFA6zVkzYEFHNkJ2djcTEREgkEmhpaUEikUAqlYrPiYiofAmCgJyc\nHAiCAJlMhvT0dEilUhgYGGg6NCKiKosJmyKkpqYiOjoaGRkZsLa2hoWFRa18Mx8YFIY2rZpoOgwi\nojITBAFJSUlissbExASmpqbQ09Orlf++ExFVFplMhuTkZERHRwPIe5+tp6cHqZTLahIRKcOETT4y\nmQw3btzA5cuXcfXqVdy/fx9paWkKbbS0tNCwYUO4urrC1dUVgwcPhqWlpYYirjwRETHIzMyCnp6u\npkMhIiqT7OxsCIIgJmvq1q3LRA0RUSWQSqUwNTWFTCZDTEwMACArKwv6+voajoyIqGpiwgZAVFQU\n/v77b2zduhUBAQFq2+bm5uLVq1d49eoVtm/fDj09PYwdOxaffvopunfvXjkBa4BMEBAcGolGLo6a\nDoWIqEwyMzMB5K1ZY2pqymQNEVElMzY2RmxsLCQSCbKzs5mwISJSoVYnbJKTk7Fq1Sps2LABGRkZ\n4nZDQ0N06NABLVu2hIWFBSwtLaGnp4fY2FjExcUhKCgIHh4eCA0NRWZmJvbu3Yu9e/eiV69eWL9+\nPTp27KjBq6o4gUFhTNgQUbWXm5srrlmjp6en6XCIiGodHR0daGlpITc3F7m5uZoOh4ioyqq1CRs3\nNzd88803iIqKAgDUr18fkyZNwsiRI9GmTRtoaxd9a4KDg3Hp0iXs3bsXV65cwY0bN9C5c2dMmTIF\nv/32G0xNTSv6MipVUHAEZDIBUim/jSai6ksQBIXFhomIqPJJpVJIJBKxUh8RERVWa1f42rhxI6Ki\novDOO+/g6tWr8PPzw8qVK9GhQ4diJWsAwNHRER9++CEuXryIoKAgLF26FCYmJtizZw98fX0r+Aoq\nX2ZmFiKjYjUdBhFRuWCyhohIc/hvMBFR0WptwqZfv364c+cOzpw5A1dX1zL/T8Pe3h7Lly9HQEAA\nvv/+exgaGpZTpFVLYFCYpkMgIiIiIiIiqvFq7ZSoNWvWVEi/5ubm+PHHHyuk76ogMDgcXTu31nQY\nRERERERERDVarR1hQ8WXf/RRfHwSkpJTNRgNERERERERUc3HhA0VqV5dS4XXnBZFREQVbejQoXBx\nccF3332n6VDUqmpxXr58GVOmTEHbtm3RqFEjuLi44IsvvtB0WERERFQKtXZKFADMnz8fdevWhaur\nK9q3b1/sxYZrG0eHevB+ESi+DgwKR6sWjTUYERERVQe+vr7Yv38/7t69i7CwMGRmZsLKygp169ZF\n48aN4erqip49e6JOnTqFjo2KikJoaCji4+M1EHnxVaU4//jjD3z11VeFtsfFxWkgGiIiIiqrWp2h\nuHLlCh48eAAAMDY2Ro8ePdCnTx+4urqiY8eO0NHR0XCEVYOTg41CwiYsPBpZWdnQ1eX9ISKiwmQy\nGRYtWoQNGzZAJpMp7PP39xefb9iwAVpaWggMDIS1tXVlh1mjJCUlYfHixQAAV1dXLF++HPb29pBK\npTW2EAIREVFNV6sTNvlH1KSkpMDd3R3u7u4AAENDQ3Tv3h2urq7o06cPOnfuDF1dXU2FqlF16hij\nTh1jJCWlAMh7Ix4SGgmXBg4ajoyIqPrxCn6JVo5NK+04TZg/fz42bdoEAGjQoAE+++wztGvXDra2\ntkhKSsL9+/dx9OhRXL58Gbm5ucjNzS3Ux+nTp5GVlQUjI6PKDr9aunPnDlJT89aYW79+PVq2bKnh\niIiIiKisanXC5tq1a7h37x6uXbuG69ev4/bt2+KbnbS0NFy8eBEXL14EABgYGKBr165wdXWFq6sr\nunbtCn19fU2GX2kkEgmcnWzh9cxX3BYYFM6EDRFRCa0/8zc2nNuFNeMXYEL3d4t93IHbp/DtwZ/x\n5eAP8fWQ6RUYYdm9evUKf/zxB4C8kR4nT56Enp6eQpt27drh448/xtOnTzFv3jyl/dStW7fCY61J\nQkNDxecuLi4ajISIiIjKS61O2Ojp6aFXr17o1asXACAnJwcPHjwQEzg3b95EYmIiACA9PR1XrlzB\nlStXxGO7dOkiJnC6detWo4cc13eyU0zYBIdDEASFClJERKSaV/BLbDi3CwDw7cGfAaBYSRt5sgYA\nNpzbhQGtelTpkTZnz54Vp0EtXry4ULImv9atW+PChQsQBKGywquxMjIyxOe1dUQwERFRTcMqUflo\na2ujS5cuWLBgAU6dOoW4uDg8fPgQGzZswMiRI2FlZSW2zczMxPXr17FixQr0798f5ubm8PLy0mD0\nFcumnhV0df6X38vIyERUNBcxJCIqrlaOTbFm/ALx9bcHf8aB26fUHpM/WQMAa8YvqNLJGkBxpIeT\nk1OxjlGW/C+q+lKXLl3g4uKCn3/Ouz8hISH47rvv0LNnTzRv3hz9+/fH+vXrkZ6eXuT5b9++jenT\np6NDhw5o1aoVRowYgUOHDkEmkyE6OhouLi5wcXHB2bNni3U9ymRmZmLnzp0YN24cOnbsiKZNm6JH\njx6YO3cuHj58WOp+p0yZAhcXFyxfvlzc1qRJEzFmFxcXhSlnBe9bQEAAFi5cCFdXVzRp0gRTpkwp\ndA4PDw98/fXX6NWrF5o3b4527dph7Nix2L17N7Kzs4uMMSEhAatWrUKfPn3QvHlzuLq6YsmSJYiI\niAAAzJo1Cy4uLkrPTUREVJvV6hE2RZFKpWjXrh3atWuHuXPnQhAEeHt74/r167h27Rpu3LiBsLC8\nEtdZWVnIzMzUcMQVR0tLCgcHG/j5h4jbAoPCC5X8JiIi1eQjauRJGHUjbZQla0oyjUpT8q858+LF\nC9SvX79U/RRVfSk8PByRkZFITEzErVu3MGbMGIVqSH5+frhx4wYOHjyI8+fPw8zMTGk/ixcvxtq1\naxW2vXr1CufOncPRo0exdu1aMQlVnOSPMh4eHpg8eTKCgoIUtgcEBOD+/fvYsmULPv/8c/z888+Q\nSkv2XVp0dLRCkgxAodf5RzDlv2/u7u6YNGkSkpOTxf35p1OlpaVh5syZOHz4cKHzent748SJE/j1\n11/x77//omHDhkrje/z4MYYPH47IyEhxm5+fH+7evYvdu3fjxIkTiImJQWhoKKKjo0t07URERDUd\nR9iUgEQigY2NDWxtbWFnZwcbGxtNh1Sp6jvZKbwODArTUCRERNXXhO7vFjnSpromawCga9eu4vPv\nvvsOwcHBFXq+8PBwjB07Fq1bt8bRo0fh7e0tjpgBgCdPnuD7779XeuzmzZvFZE379u1x+PBhPH/+\nHHfv3sX333+Pc+fOYfXq1WWK7+HDhxg4cCCCgoLg7OyMX3/9FZ6ennjx4gXc3d0xbtw4AMDvv/+u\nMEqmuPbu3Ys3b95g2bJl4rZXr17hzZs34iN/kQW54OBgTJ48Ge3atcO///4Lb29vvHnzBnv37gUA\n5ObmYuTIkTh8+DC0tLQwc+ZMuLu7w8fHB/fv38eaNWtgYWEBHx8fDB06VJxCnl9UVBSGDh2KyMhI\nGBgYYOnSpfD09MSzZ8/g5uYGU1NTjB8/Xlw/kIiIiBRxhE0RIiMjcf36dXFUzbNnzwrNtbeyskLP\nnj1rfALH0dEGEgkgv/zYuEQkp6TBxLjmrt1DRFQR1I20qc7JGgAYOHAgOnfujHv37sHb2xvNmzfH\nwIED0adPH3To0AFt2rSBsbFxuZ1v//794vSc/KNTOnTogOTkZBw5cgT79u3D6tWrUadOHXF/fHw8\nlixZAiBvmtD58+cVigm0a9cOXbp0wciRI0sdW25uLqZOnYqMjAx07NgRZ8+eVYihQYMG6NOnDxo1\naoQff/wR69atw7Rp00o0Kkk+XdvU1FTcZm9vrzRJk9+hQ4cwfPhwHDp0SOmono0bN+Lq1avQ1tbG\n8ePH0b9/f4X9rVq1wuDBg9GrVy/4+/tj/fr1hRJOP/zwA2JiYiCVSvHff/+hT58+4r7GjRtj0KBB\n6N27t7g+IBERESniCJsCQkJCsH//fsycORPNmzeHjY0N3n//fWzatAleXl4QBAHOzs6YPHkytm7d\nCm9vb0RHR+PYsWNwcKjZVZMM9PUKTYEKCgrXUDRERJXD6YveCg9V9t06odDu24NrVbYd8vNHCkkZ\nIC9pM+KXWQrbPx84Fd8e/Fnsc8jPH6ns89uDaxXOv+/WiRJcZfmRSCQ4evQo3n77bQBAdnY2Tp8+\njfnz5+Ptt99G3bp10bVrV6xatUpcw6Qs9PX1sXHjRqVJh08//RRA3oK89+/fV9h38OBBhTLYyio/\nDh48GCNGjCh1bCdOnICvb96C/Vu3blVI1uT33XffwcbGBjk5OThw4ECpz1cSWlpa2LBhg9L7lpub\ni40bNwIAZsyYUShZI9esWTPMnj0bAODm5qawLzU1VbyWiRMnKiRr5ExNTfHzzz9z0WkiIiIVan3C\nJiAgALt378b06dPRsGFDODo6YtKkSdi2bRtevHgBiUSCt956C7NmzcK+ffsQFBSEgIAAuLm54ZNP\nPkHz5s01fQmVyrngtKhgTosiIiovjwK9xedrxi/AoNa9NBhN6VlbW+Ps2bM4d+4cpkyZAju7//2/\nIzc3F48ePcLy5cvRvHlzbN++vUzncnV1hYWFhdJ9bdu2FZ/7+/sr7Ltx4wYAwNnZGR07dlTZ/5gx\nY0od27lz5wDkLQLcsmVLle10dHTQrVs3AICnp2epz1cSXbt2hb29vdJ9jx49EpNpo0ePVttP7955\nSczQ0FBxXT8AuHfvnrjmj7p7OGDAAJibm5codiIiotqiVk+JGjRoEM6fP6+wTVtbG+3btxfLfffs\n2ROWllxYV87Z0RYenv+rhhUaFoXs7Bzo6NTqXyUiojJpatsAL8P/l1Bo5/wWJnR/F0+DXmowqrLr\n27cv+vbtCyBvBOuTJ09w+/Zt/PPPPwgICEBaWhrmzJkDIyMjTJw4sVTnULXYLZC3ALKOjg6ys7OR\nkpKisO/169cAUOQXLy1atChVXADw/PlzAEBQUBCaNGkCQHEBYPlzQRDEBZMra+HdZs2aqdwnjxsA\npk2bJk6vyh+v/L9ZWVli2+joaDE59+bNG3G7umSVVCrFW2+9hVu3bpXiKoiIiGq2Wv0pOzY2FkDe\n8O0RI0Zg9uzZ6NGjBwwNuSaLKubmdWBibIjklDQAQG6uDKFhUajvbFfEkUREpEr+ZA2QN9LmwO1T\naOHQWEMRlT8HBwc4ODhg6NCh+L//+z/8+OOP+PHHHwEAixYtwvjx40tcIQkADAwM1O6X95m/tDUA\nsTKSqmlKckXtV0de4SojIwOBgYHFOiYjI6PU5yuJ/GveFJS/MlfBilPq5I89KSlJfF6R95iIiKgm\nq9UJGzlBEPDff//h6tWr6NmzJ3r37o3evXujQ4cORS7aV9tIJBI4O9nhmfdrcVtgUBgTNkRUYwX9\ndr1Y7Sb1GI5JPYYXq+2ZBX8BKFwNqp3zW+K0qG8P/ow14xcU+/xrxs/HmvHzi9VW07S0tLB06VJc\nvHgRHh4eCAsLg7e3t9qRGOVN/uVMUaW609LSSn0OeTKpT58+2LFjR7GO0dXVLfX5SkJdcix/EuzG\njRsKU9rUqVu3rvg8/5df6enpahNEpS2XTkREVNPV6mzEH3/8AXd3d1y7dg137txBQkICTp06hVOn\n8sqrGhkZoVu3bmICp0uXLkoXJaxtnJ1sFRM2weEQBAESiUSDURERVS+qqkHl356/elRN1LVrV3h4\neACovKlAcg4ODnj27JnC1B1litqvjrOzM7y8vPDmzZtqVZjA2dlZfB4bG4vOnTuXuI/81/v69Wu1\nlTTl09OIiIhIUa1edLhz585YsmQJLl68iISEBNy6dQs//fQTBg8eDBMTE6SmpuLixYtYunQp+vTp\nAzMzM/Tq1QuLFi2Cu7u7OJy6trGztYa2tpb4Oi0tAzGxCZoLiIiomlFXuntC93exZvwCcd+3B3/G\ngdunKj3GypB/2kxlrxfXtWtXAICPjw+CgoJUtpMvHFwa8kpZwcHB4iLH1UHPnj3FkT6lrVrVpUsX\ncRTP2bNnVbZ7+vQpQkJCSnUOIiKimq5WJ2zy09HRQffu3bFw4UKcPXsW8fHx8PT0xLp16zBs2DCY\nm5sjMzMTN2/exKpVqzB48GCYm5ujU6dOmDdvHo4fP15p8841TUtLC472it+UBQSyWhQRUXGoS9bI\nVeekzZ49e3D48OEiSzUHBwfj2LFjAAALCwu89dZblRGeaNy4cZBIJBAEAcuWLVPa5vXr19i1a1ep\nzzF58mSxAtIXX3yBxMTEUvdVmYyNjfHhhx8CAI4cOSKOPC4Ja2trDBw4EEBeSXNlSTGZTIZFixaV\nKVYiIqKajAkbFbS0tNCxY0fMmzcPJ06cQExMDB4/foyNGzdi1KhRsLa2Rm5uLu7fv4/169fjvffe\nw7NnzzQddqVxdrZVeB0UHK6hSIiIqo/iJGvkqmvSJjAwEFOmTEHLli2xbt06PHnyBDKZTNwfFxeH\n3bt3w9XVFQkJCQCABQsWVPqacS4uLvj4448BAPv27cOnn36K8PC8/5fJZDK4u7tjyJAh6NKlS6nP\nYWpqik2bNkEikcDb2xvdunXDkSNHFEboZmRk4M2bN9i5cyfGjx9faWW9i7J8+XI0bNgQMpkM48aN\nw/fff68wPUwmkyEqKgoXL17E/PnzsXTp0kJ9rFy5Ejo6OkhOTsbAgQNx6dIlMZEXEBCASZMm4e7d\nu+jQoUOlXRcREVF1UqvXsCkJqVSKNm3aoE2bNvjggw9w8+ZN/Pnnnzh9+rSmQ9MIJwfFhE10TDxS\nU9NhZKS+WgcRUW3lFfyy2MkaOfn+/GvatHRsjFaOTSsu0HLy+vVrLFq0CIsWLYKWlhYsLS2RnZ2t\nUIFIIpFg7ty5+PLLLzUS45o1a/Dq1StcvXoVf//9N3bu3AlLS0ukpqYiPT0dzZo1wy+//CImFLS0\ntIrosbAxY8YgMzMTn332Gd68eYPJkydDKpXCwsICWVlZCtPCAODTTz8tl2srKwsLC5w9exbjx4/H\nw4cP8csvv+CXX36BsbExDA0NERsbq1B5a+zYsYX6aNWqFbZv344ZM2bA398fQ4YMgaGhIQwMDBAb\nGwttbW3s2rULhw4dwoMHDyrz8oiIiKoFjrAphpiYGBw7dgxfffUV2rdvDwsLC7z77ru1NlkDAIaG\n+qhrbaGwLZCjbIiIVGrl2BRfDv4QQPGSNXL5R9p8OfjDKp+smTVrFvbu3YvZs2ejQ4cOsLS0FEdj\nxMfHQ0tLC02aNMEnn3yCu3fvYs2aNRpbtN7Q0BCnTp3CTz/9hIYNG0IQBMTExEBfXx+zZ8/G1atX\nFSomlbb89KRJk/Ds2TN8/fXXaNasGWQyGWJiYpCUlAQjIyM0adIEM2bMwKFDh0q1wG9FcXZ2xo0b\nN7Bjxw68/fbbMDQ0REpKCqKiogAANjY2GDRoENatW4cVK1Yo7WPChAm4ceMGBg0aBB0dHaSlpSEh\nIQG9e/fGmTNnlCZ6iIiIKI9EKGqSeS0UHh6O69ev49q1a7h+/Tq8vb1VzsWvX78+XF1d4erqivff\nfx9GRkaVHG3FiI+Ph4VFXkImLi5OnIOf34NH3vB88Fx8Xd/JDoMH9qi0GKursDCu90OkSfHx8RAE\nAfr6+nBycqr083sFvyxV0qW0x1UFubm54oiKOnXqFGv6U1RUFLKysmBkZKT0/0Hh4eHIzc1FnTp1\n1CZSQkNDIQgCzMzMYGxsrPacqampyM7OhpmZmbjt0qVLGDJkCADAy8sLTZo0KVGcymRnZyMhIQGG\nhobl9r4hNTVVHL2kriJVce+bMoIgIDExETk5ObCwsFBbGlyZ3NxcxMXFwcLCQmG00pgxY3Dy5En0\n7du3TIs8U/USFBSEjIwMSCSSYv/tUO1lZ2en6RCIiqU4n6NLglOikDffPn+CxtfXV2Xbhg0bwtXV\nFX369IGrq6tG3uxXFc5OdgoJm5CwSOTk5CpUkCIiIkWlTbpU12QNkDeVqG7duiU6pqj2tra2avfL\n2dvbF/ucypIn7u7uAPJG1zRq1KjQ/pJeF5BX6MDa2rrEx6ljZGRUrORPce+bMhKJRCGZVVJaWlrl\nft1EREQ1Wa1O2Hz//ffYv38/AgMDVbZp0qSJmJxxdXUt0Ru/ms7SwhRGRgZITU0HAOTk5CI0PArO\njqV/M0hERFRV+Pr6YseOHQCAUaNGlXhECREREVFZ1OqEzfnz5wsla9566y0xOePq6gobGxsVR5NE\nIoGzoy28X/iJ2wKDwpmwISKiaiEmJgbz58/HhAkT0LFjR3EIc3JyMk6cOIHvvvsOKSkpMDAwwLx5\n8zQcLREREdU2tTphI5VK0apVK4UEDYfqloyzk51CwiYoKAxC93YaW0CSiIiouHJycrB//37s378f\nQN4ixIaGhoiLixNLkevp6WHnzp2F1q4hIiIiqmi1OmFz9epVGBoaajqMas3eri60tbSQ8/9Le6ak\npiM2LhFWlmaaDYyIiKgI1tbWCmWlo6OjkZaWBiBvgctBgwbh66+/ZrKGiIiINKJWJ2yqW7ImIiIC\nZ86cgb+/P1JSUuDo6IhWrVqhb9++xaq4URG0tbVgb18XgUH/K+kdGBTOhA0REVV5WlpamDBhAiZM\nmAAgb8RNXFwcjI2Nq917hOps69at2LBhA/T19TUdChERUZVSqxM21UVUVBS++eYb7Nu3TxyinZ+1\ntTW2bt2KkSNHaiC6vGlRigmbMHRo11wjsRAREZWWtrZ2qao+UdlYWlpqOgQiIqIqqdYmbIKDg+Ho\n6FghfSclJUEQBJiampa5L39/f/Tt2xeBgYGQSCTo168fevfuDXNzc8TFxcHDwwMXL17Ey5cvyyHy\n0nEqsMhwVHQc0tIyYGjIb8qIiIiIiIiISqPWJmxGjx4NR0dHLF++HC1btiyXPlNSUvD7779j3bp1\ncHd3R8eOHcvUX0ZGBgYPHozAwEBYWVnhv//+Q48ePQq1i4mJQVxcXJnOVRbGRgawsjRDTGyCuC0o\nJBzNmjTQWExERERERERE1ZlU0wFoipGREY4ePYrWrVtj2LBhOHLkCDIyMkrV16NHj/D111+jQYMG\n+P7775GYmFguc99XrFiBV69eQSKRqEzWAICVlZXGF0R0drJTeJ1/ihQRERERERERlUytHWFz+vRp\n/Pzzz1i7di1OnTqFU6dOwczMDIMHD0bXrl3RtWtXvPXWWzAxMVE4LisrC8HBwbh37544Hen58+fi\n/oEDB+KXX37BW2+9Vab40tPT8eeffwIARo0apTJZU1U4O9niwSNv8XVIaCRyc3OhpaWlwaiIiIiI\niIiIqqdam7AxNDTEsmXL8Mknn2DlypVwc3NDQkICDh48iIMHD4rtdHR0YGFhAT09PcTFxSElJUVp\nf66urli4cCEGDx5cLvGdOXMG8fHxAIApU6aUS58VydrKHIYG+khLzxullJ2dg7DwaDg62Gg4MiIi\nIiIiIqLqp9YmbOTs7Ozwxx9/YM2aNXBzc8OePXtw//595ObmAgCys7MRGRmp9FhnZ2e89957mDlz\nJpo3L9+qSLdv3xaf9+zZEzKZDJcuXcKtW7cQHx8PCwsLdO7cGf369YOurm65nrs0JBIJnJxs8eKl\nv7gtMCicCRsiIiIiIiKiUqj1CRs5ExMTzJ49G7Nnz0ZKSgpu3bqFBw8eIDIyEtHR0cjKyoKVlRWs\nra3RuHFjuLq6wtnZucLikU+zsra2RkREBPr164cnT54Uaufk5IQtW7bgnXfeKfE55CN4lElISChx\nf84FEzbB4eghtIVEIilxX0RERERERES1GRM2ShgbG2PQoEEYNGiQxmKQV32SSqXo168fIiMj0aNH\nDwwZMgSGhoZ49OgRDh48iKCgILz77rs4duwYhg8fXqJzWFhYlGvMDnb1oKUlRW6uDACQnJyK+IQk\nWJiXvbw5ERERERERUW3ChE0VlZaWBgDidKwff/wR33//vUKbuXPn4u2330ZiYiJmzJiBgIAAGBkZ\nVXqscjo62rCzrYvgkAhxW2BQOBM2RERERERERCVUa8t6V3UGBgbi827duhVK1gBA+/btsWzZMgBA\nTEwMDh06VKJzxMXFqXz4+fmVKm5nJ1uF14FBYaXqh4iIiIiIiKg2Y8KmiqpTp474/P3331fZbvz4\n8eLzmzdvlugc5ubmKh9mZmYljhkAnJ3sFF5HRsUiPSOzVH0RERERERER1VZM2FRRjRo1Ep+7uLio\nbGdjYwN9fX0AQHh4eIXHVRQTY0NYWvxvCpQgAMHBEWqOICIiKiw4OBivX79GdHS0pkNRq6rGGR0d\nDT8/P7x+/VpltUsiIiKq2piwqaJatWolPpeXGFdFvl9bu2osSVRwlA2nRRER1W45OTmIiopCcHAw\n0tPTi3XMqFGj0KJFCyxZsqSCoyubqhRndnY2li9fDicnJzg4OKB58+Zo0aIF5s2bp+nQiIiIqBSq\nxid8KiR/me7nz59j5MiRStv5+voiOzsbAFC/fv3KCK1Izk62ePjYR3wdHBKBXJkMWlLmB4mIaovc\n3Fy4ubnBzc0N9+/fR0ZGhrjPxMQEjRs3hqurK1xdXTFw4EBoaWlpMNqaYc6cOdi1axeAvLXw6tWr\nB6lUinr16mk2MCIiIioVJmyqqIYNG6J79+64ffs29uzZgwULFkBXV7dQu7/++kt8nj/Jo0nWVhbQ\n19dDxv9fuyYrOwcRETGwt6ur4ciIiKgyxMXF4b333oOHh4e4TUdHB/Xq1UNiYiKSk5Px8OFDPHz4\nEL/++isCAwNhY2Oj0IejoyNSUlJgbW1d2eFXS6GhodizZw8AYPbs2Vi3bh2TYERERNUchzxUYatX\nr4ZEIoGvry+mT58ulvqW279/P9avXw8A6NChQ5VJ2EilEjg7sloUEVFtNWHCBDFZM2HCBHh6eiIp\nKQlv3rxBTEwMnj59iuXLl8PW1lZlH0ePHoWPjw9WrFhRWWFXa/fu3YNMJgMAfPXVV0zWEBER1QBM\n2FRhvXr1wpo1awAA+/btQ/369TFu3DhMmzYNbdq0waRJk5CTkwN7e3scOXIEEolEwxH/T+Hy3ppf\nEJmIiCrezZs3cfXqVQDAJ598gl27dqF169aQ5psW27RpUyxcuBA+Pj5YtGgRdHR0NBRtzRETEyM+\nLzhaqbYLDQ3F69evkZCQoOlQiIiISoRToqq4+fPnw8XFBd988w0CAgJw+PBhcZ+WlhbGjRuHX375\npcq9OXOwrwepVAKZTAAAJCalICEhGWZmJhqOjIiIKtKNGzfE5x9//LHatgYGBli6dKnSfcHBwcjM\nzISpqanSaVEBAQHIycmBubk5LC0txe1paWmIi4uDtbU19PT0ShR7XFwcsrKyUK9ePfFLkNzcXPj7\n+wMAbG1tYWRkVKI+CxIEAQkJCUhOToalpWWZ+wsLC0NaWhoiIv5XkdHf319hhE3+ypOq7ltmZibC\nw8Ohq6sLOzvF4gFyGRkZiImJgb6+PiwtLUv8RZH8+II/m4iICKSkpMDQ0FDlucviww8/xPXr17Fy\n5UrMnz+/3PuPi4tDXFwctLS00KBBA3G7TCZDREQEDAwMYG5uXqI+BUFAfHw8UlNTYWlpCUNDw1LH\nIQgCoqKikJycDGdnZ+jo6MDPzw8ymQxWVlYwMzMT2yYnJyMtLU3tukeCICAyMhJ6enolvi4iIioZ\njrCpBkaPHg1/f388ePAABw8exN9//43Tp08jOjoa+/btq3LJGgDQ1dWBna3imjWcFkVEVPPFxcWJ\nz4vzIVOVoqov9e7dGy1atBCnBp85cwY9evSAubk5GjZsCEtLS7z33nvw8fFRerxcVlYW1qxZg8aN\nG8PW1hbOzs6wtLTE7NmzERMTg+joaLRo0QItWrSAu7t7qa/n+fPnmDZtGuzt7WFjY4PGjRvDwsIC\n7dq1w4YNG5CZmVmqfqdPn44WLVpg5cqV4rbWrVuLMbdo0QI5OTnivoL37ejRo+jevTtMTU3RtGlT\nTJ8+XaH/1NRUrFu3Dh07doSpqSkaNmwIe3t72NnZYcaMGfD19S0yxtu3b2PQoEGwsLBAw4YNYWpq\nCldXV1y+fBlA3mLJLVq0KHTu6mLz5s1o0aIFunTpAiAvATVz5kxYWFigQYMGsLGxwVtvvYW///67\nyL78/Pwwc+ZMODg4wNbWFo0aNYK5uTk6dOiAjRs3qv09KRhHYGAgPvroI1hYWMDJyQktWrRAYGAg\nAKBt27Zo0aIFtm/fDgDYvXs3WrVqBSsrKzg5OcHW1harV69WqFQaEhKCWbNmwcLCAs7OzrCxsUHH\njh1x4cKFUt87IiJSjyNsiiEzMxOxsbFIS0uDo6Njib+xKy/t27dH+/btNXLu0nB2tEVIaKT4OjA4\nHG1aN9VgREREVVB2GqRe/0L6/BiQGg0YWUPWYiRkrUYDOqVPeGhK3br/S9bfuHFDYXRHRfnjjz/w\n9ddfQyqVwsHBAUlJSUhKSsLZs2dx9+5dXL16Fc2aNSt0XGpqKkaMGCGOCtLS0oKNjQ1SUlKwY8cO\nXLt2DQcOHChzfJs2bcKCBQvED79mZmaoU6cOIiMj4e3tjW+//RZHjx7F8ePHSzxiwd7eHi4uLkhK\nShKnRbm4uCi0UTUS5qeffsKyZcugpaUFe3t76Orqwt7eXtz/8uVLvPfee/Dz8wMA6Orqol69ekhN\nTUVcXBz27t2Lo0ePYu/evRg6dKjSc+zevRuzZs0S19cxMzODoaEhPDw88O677yoUT6gJ/P39MXDg\nQAQFBcHCwgIWFhYIDQ3Fmzdv8OmnnyIsLAyLFy9WeuypU6cwZcoUcc1CY2NjmJmZISIiAs+ePcOC\nBQtw+PBhHD9+HFZWVmrj8Pb2xqBBgxAVFQULCwvxyz1lBSy+//57/PLLL9DT04OjoyOioqIQFxeH\nH374AYGBgfjzzz/x6tUrDBkyBMHBwbC0tESdOnUQEREBLy8vvPfee/jvv/8wYMCAMt49IiIqiCNs\nVMjJycH27dvRpUsXGBkZwd7eHo0bN4aXl5dCuz///BNz5swp8hu82qjgOjbhETHIzMzSUDRERFVQ\nnB90trhC+9RXkPpfhzTKB1L/69A+9RV0trgCcX6ajrDEBg4cKD7/7rvvcOTIEYURHuXN09MT3377\nLRYtWoSwsDC8efMGkZGR2LVrF3R1dREfH4958+YpPXb+/PlismbmzJkICgqCn58fIiMjce7cOeTk\n5OCrr74qU3z79+/HvHnzkJubi5EjR+Lhw4eIjIyEr68voqKisHnzZjGB8dFHH5W4/x07dohrAcl5\neXnBx8dHfChbgPjOnTtYsWIFvvvuOzGh4OPjgx07dgAAYmNj8e6778LPzw8ODg7Yv38/YmJi8Pr1\na4SHh+Pu3bvo1KkT0tLSMGXKFKUjbR49eoTZs2dDJpOhUaNGuHjxIiIjI+Hv7w8/Pz+MGTMGn3/+\nOYKDg0t83VWRTCbD1KlTYW9vDw8PD4SHh8PPzw/e3t7o0KEDAGDVqlVK75W3tzcmT56MtLQ02Nvb\n49ixY4iOjsabN28QEhIi/g7fv38fkyZNEhNgyuTm5mLatGmoX78+7t69i/DwcPF3wcnJSaHthQsX\nsGnTJmzcuBFRUVF4/fo1wsLCMG3aNADA33//jZs3b2Lq1KmoW7cuPDw8EBYWhsDAQNy6dQu2trbI\nycnB3LlzIQhCed1KIiL6/5iwUSIhIQFvv/02PvnkE9y7d09hOGhBMTEx2Lx5s8LaMpSnTh1jmJvV\nEV8LgoDgkAg1RxAR1SLZadDZNw6SeH+luyXx/tDZNw7ITlO6v6pq06aNOLUlPj4ekydPhoODA8aM\nGYOffvoJ7u7uSExMLLfzXbt2DT/88AOWLFkirsUhlUoxYcIEMdly6dIlhIUpTst9/fq1OEVl6tSp\n+O2338RRCxKJBH379sXZs2fx8OHDUseWnJwsxjBp0iQcPHgQLVq0EPfr6+vjo48+wq5duwDkjbC4\nc+dOqc9XErdu3cLChQuxbNkypaN6li9fjqCgIFhaWuLKlSsYPXq0wgjjdu3a4ezZs3BxcUFqaipW\nr15dqI8lS5YgJycHderUgbu7O3r16iXus7Ozw+7du9GrVy88fvy4Qq6xsiUnJyM5ORlnz55F27Zt\nxe0NGzbEvn37oKWlhdzcXKWjtr7//nukp6dDT08Pp0+fxpAhQ8SFus3NzbFq1Sp8+eWXAICrV6/i\n5MmTKuNISUlBYmIizp49i3bt2qmN+dq1a9i8eTNmzZoFfX19AHkjezZt2gRnZ2cAwPvvv4+4uDic\nO3dO4bo6duwoFsd48+YN7t69W+Q9IiKikmHCRolJkybhxo0b0NbWxtSpU7F3716VQ7qHDBkCADh/\n/nxlhlhtFBxlE8BqUURUzej+n1WpHtrb31bZp/b2t6H7k5PKZI2cJN4fuj85KfSritapr4odW0Xb\nvHkzli9fDmNjYwB5iZuTJ09i2bJlGD58OGxsbDBo0CCcOnWqzOeqV68e5s6dq3TfuHHjAOR9YXD/\n/n2FfYcOHYIgCJBKpSoXPnZxcRFHGpTG/v37kZCQAG1tbaUJDbkRI0agefPmAIDjx4+X+nwlYWxs\njG+++UbpvrS0NOzevRsA8OWXXxYalSFnYmKCOXPmAABOnjypMOojMjISFy9eBADMmjULDg4OhY6X\nSCQKa+/UBIsXL4aBgUGh7Q0aNBDXlvH09FTYFx0djXPnzgEAPvjgA/F3oaAlS5aIf1Pyn48q8+fP\nF9uq07BhQ0yZMqXQdm1tbQwePBhA3mirr776CnXq1CnU7t133xWn3BX8GyMiorLjGjYFXLlyBWfO\nnIGuri7OnDmDfv36AQB+/fVXpe3btm0LqVQKT09P5ObmKh12XJs5O9nh8dOX4uvgkHDIZDKF8q5E\nRFSzSKVSLFy4EJ9++imOHz+OixcvwtPTE/7+/hAEATKZDFevXsXVq1cxbtw4/P3339DWLt1bkt69\ne6ssC96kSRPxef4qSgDE0QDNmzeHo6Ojyv4HDRqEzZs3lyo2eXnzxo0bIy0tDQEBAQrTRuTPBUGA\ni4sLfHx88PTp01Kdq6R69OihclHou3fvIiMjA0BeCfaAgIBC8cr/Kx+VlJiYiICAAHH9nHv37ont\n5B/8lWnZsiWcnJwQFBRU6mvJX8lLmfT0dAB5iYfXr18rbSNfv6Ws+vfvr3JfkyZNcPv2baW/i/J7\nJf8iUBljY2P07dsXJ0+eLHIkVnHXk3n7bdWJ5fyVplS1MzIyQr169RAREYHwcH4pR0RU3piwKeDo\n0aMA8r4NkidrANUL9mlpacHS0hLR0dEIDg5G/fr1KyPMaqNeXQvo6emKa9dkZmYjMioWtjaFS7QS\nEVHNYmpqiqlTp2Lq1KkA8qaM3L59G4cPH8aBAweQm5uLQ4cOwcnJqdQjLdSVgdbR0YGenh4yMzOR\nmpqqsC80NBRA3ggDdQou4FsS8sV6fXx80LRp8Rbdj4+PL/X5SkLddcnjBvKmwxRX/tjl9xco3j0u\nS8JGXsmrKL/++qvKL+Bat25daORLSRkaGiqUyC5IPuJF1e8ikJfcU0e+Py4uDhkZGeI0pvy0tbVV\njooqSN3fT/6S8/kXoy5InviTL5ZMRETlhwmbAuSLB6v7hqOgevXqITo6GklJSRUVVrUllUrh5GgD\n39f/eyMWEBjOhA0RUS1kYmKCQYMGYdCgQRg/fjyGDx8OmUyGzZs3Y/HixUo/fBZF1eiaggouiCof\nQVLUOZVNbymu5ORkAHkf1PNXz1LH1ta26EblIP+H8YLkcQNA/fr1iz0qNv8oKfmoFqDoe1iWeyw/\nr7oEVFhYGDIyMmBpaQlTU1OlbcpjdE1pfxdLcq/yj4pKS0tT+vur7mdbUHFjLs4IOC46TERU/piw\nKUD+7UDB/6GrGmED5JX9BqCxct9VnbOjnULCJig4DN26tNZgRERExZe1NKbc+8z5+DKkD92gfaro\nCkQ5wzZA1m5yke1y3/0Vue8qHz1QFQ0YMABDhw7FyZMnkZaWBi8vL3Tq1KnSzi9fj6OoBZDL8mWM\nfLRFx44d4e7uXup+Klv+USKnTp0qctSHMvnXO0lMTFSZKJHvLwsrKyu11ToHDBiA69ev46uvvsL8\n+fPLdK6KUPBeqRvNkn8Uk7I1ZYiIqGbhQiIFWFpaAlAcnqpOamqqOG+6uN+e1TaODvUgzZfwik9I\nRmJSigYjIiLSPFmr0RDMG6htI5g3gKzlqEqKqPLlX2OmsqdTyKfpeHt7q233/PnzUp9DPg3q0aNH\nFVravLzln75V2mlC+Ys1eHl5qWwnk8mK/BnUdPkTYk+ePFHbVr7GUYMGDUq97hMREVUfTNgU0KFD\nBwCFqzSoGmGzd+9e5OTkoFmzZkrLYhKgp6cLGxvFqiSBrBZFRLWdjiGyJx1SmbQRzBsge9IhQEf5\nwrBVVUkSE/nXSlG3lkZF6N27NwAgODgY9+7dU9nuyJEjpT6HfHp1YmIiDh48WOp+Klvnzp1hbZ03\ndXnbtm2l6qNTp07i1Jx//vlHZTt3d3ckJCSU6hw1RadOncT1bZSV/Jbz9/fHrVu3AAB9+/atlNiI\niEizmLApYOzYsZBIJNi3b1+Rw5efPn2KhQsXAgAmTpxYGeFVW85Oim/EA4PCNBQJEVEVYuGC7FnX\n8qY9NegNWd23IGvQGznDNiB71jXAovQL3mrKunXr8NlnnxW5iOzFixdx4sQJAHkjDEoz7aYsxo0b\nJ35I/vrrrxXWEZE7ffo0Tp48WepzjBo1ShytMm/ePDx69Ehte5lMhqysrFKfr7xoa2tj3rx5AIA7\nd+5g0aJFRa5PIl8TSM7Q0BATJkwAABw8eBCXLl0qdEx8fDwWLFigdtp5bWBgYIAPPvgAQF4C69Ch\nQ4XaZGdnY/bs2ZDJZJBIJJg1a1Zlh0lERBrAhE0BLVq0wLRp0yCTyTB8+HB88803ePToEXJzcwHk\nrVfz6NEjfPfdd+jWrRsSEhLg4OCAzz//XMORV23OToqLKIZHRCMrK1tD0RARVSE6hpC1m4ycKUeR\nM+s6cqYczVuzppqNrJHLzs7GX3/9haZNm2LYsGH47bffcOPGDfj4+MDLywvHjx/HjBkzMHz4cOTm\n5kJLSwvr1q2r9DjNzMzw448/Asib9tO7d28cPnwY3t7e8PDwwKJFizB+/Hh88sknpT6HlpYW9u/f\nDxMTEyQkJMDV1RVz5szB2bNn4e3tjcePH8Pd3R07d+7EtGnT4OTkVGS55soyd+5cvPPOOwDyknCu\nrq7YuXMnHj58CB8fH1y/fh3//PMPli5dii5duii9T8uXL0e9evUgk8kwatQo/PDDD/D09MTz58/h\n5uaGHj16IDc3V6EqZ231ww8/iJVGp0+fjq+++gq3bt2Cj48Pjh07hr59++Ly5csA8hKMbdq00WC0\nRERUWTj5VYnNmzfD398fV65cwS+//IJffvlF3NezZ0+FthYWFjh27JjaMo4EmJmawNTUGImJeWvX\nyGQCgkMj0bCBg4YjIyKi8iSvYiOTyXD+/HmcP39eZVtbW1v8/vvvGDx4cGWFp2DWrFmIiIjA6tWr\n8fTpU0yZMkVh/7hx4/D1119jy5YtAABdXd0Sn6Nly5a4ceMGpkyZAi8vL2zfvh3bt29X2lYqlVaZ\nAgZSqRSHDx/GwoULsWXLFnh4eMDDw0Nle2UJBCsrK5w5cwYjRoxASEgIVq9ejdWrV4v77ezscOLE\nCSxfvrxCrqE6MTU1xYULFzB27Fg8fvwYf/zxB/744w+FNlKpFF9++aWYaCQiopqPCRsl9PX1cf78\neaxZswbr169HXFyc0nZDhgzBb7/9Ji5cSOo5O9rhaeIr8XVgUBgTNkRENcy8efMwefJk3LlzB3fv\n3kVAQACio6MRExMDbW1tmJubo2nTpujbty+GDh2qsoyxo6MjUlJSxLVUCqpfvz6MjIzEYgGquLi4\nIDMzU+U6c8uWLcPQoUPx999/4/Hjx8jJyUGDBg0wceJEjBgxAi9fvhTbKqt0VFScANC8eXN4enri\n3LlzOHPmDJ49e4b4+HgYGhqibt26sLe3R+/evdGvXz9YWVmp7EcdMzMzsbS1uilGxb1vQF6Cav36\n9ZgzZw4OHz6M27dvIzw8HDk5Oahbty7q1q2LNm3aYODAgWjdWnn1x5YtW+Lx48fYunUrLly4gMjI\nSFhbW6N3796YOXNmpRRssLOzg4uLS4V9uWZubg4XF5ciqzZZW1vDxcUFTk5OSvfLR1gdPXoUJ0+e\nhK+vL1JTU2FlZYVOnTphypQpaNGiRZnjAP73d6Hunpiamoq/U+pKu8uvR93fABERlY5EKGpSci2X\nkZGBW7du4cmTJ4iNjYWenh4cHR3Rp08fNGigvrpHdRYfHw8LCwsAQFxcXLksqBwaFoWTZ66Jr/X1\ndTF14nBIpbVr7npYGNfvIdKk+Ph4CIIAfX19lR+ciOT+++8/jBs3DkDeoq+VvThybTBmzBicPHkS\nffv2xblz5zQdDlWSoKAgZGRkQCKRsHAHFYn/9lJ1Ud6foznCpgj6+vro168f51eXAxsbK+jq6ohr\n12RkZCEqOg429Yr+lo+IiEgT5BWOHB0d+YGBiIiIKhUXHaZKoyWVwtHBRmEbq0UREZGmyGQyyGQy\nlfuPHz8uJmwmT55cWWERERERAeAIG6pkzk62eOMXLL4ODApHl06tNBgRERHVVlFRUejduzfef/99\ndOzYEQ4ODjA0NERgYCD+++8/uLm5QRAEODg44KuvvtJ0uERERFTL1NqEzaJFi/DmzZty7XPVqlXi\n4myknJODDSQSQL5yUlx8IpKTU2FiYqTZwIiIqNbR0tJCSEgI1q5dq7JN48aNcfToUaULDhMRERFV\npFqbsHF3d8eDBw/Ktc9vvvmGCZsi6OvrwaaeFcIjYsRtgcHhaPlWIw1GRUREtZG1tTVevHiBf/75\nBw8ePEB4eDhiY2NhbGyMRo0aYdCgQRg7dix0dHQ0HWqNZmNjAxcXF9jb22s6FCIioiql1iZs2rZt\nC319fZX7BUGAh4cHcnNzoaWlhYYNG8Lc3BwZGRnw9/dHUlISgLxv3uQlKU1MTCol9urOydFWMWET\nxIQNERFphpOTE77++mtNh1Grbdq0SdMhEBERVUm1NmHz119/qdwXGhqKcePGwdLSEitWrMCECRMU\nkjGCIODOnTtYunQpHjx4gBUrVoglP6lozk528PD0El+HhkUhOzsHOjq19teRiIiIiIiISAE/IReQ\nlpaGwYMHIzw8HJ6enmjQoEGhNhKJBN27d8f58+cxefJkTJo0CRYWFhgwYIAGIq5+zM1MUMfECEnJ\nqQDyqnSEhEaiQX0OhSYiIiIiIiICWNa7kD179uDZs2eYP3++0mRNflKpFBs3boREIsHChQsrKcLq\nTyKRwMnJVmFbYFC4hqIhIiIiIiIiqnqYsCngwoULAIBu3boVq721tTUaNWqEhw8fIiYmpugDCADg\n7Gin8DowOAyCvHQUERERERERUS3HhE0BERERAIDs7OxiHyNvKz+WimZna62wZk16eiaiY+I1GBER\nERERERFR1cGETQFWVlYAgHPnzhWrva+vL968eaNwLBVNS0sKR/t6Cts4LYqIiIiIiIgoDxM2BfTv\n3x8A8Pvvv+PatWtq2yYnJ+PDDz8EALz11luwsbGp6PBqFGenAtOigsI0FAkRERERERFR1cKETQHT\npk2Do6MjMjMz0b9/f3z66ae4efMmUlJSAAC5ubl4/fo1Nm3ahJYtW+L27dsAgGXLlmkw6urJyVEx\nwRUTm4CU1HQNRUNERERERERUdbCsdwHGxsY4efIk+vfvj5iYGGzZsgVbtmwBAGhrayMnJ6fQMYsX\nL8bYsWMrO9Rqz8BAH/XqWiAyKk7cFhQcjreauWgwKiIiIiIiIiLN4wgbJdq0aYOnT59i0qRJ0NHR\nEbcXTNa0atUKJ0+exIoVKyo7xBqj0LSoQE6LIiIiIiIiIuIIGxVsbW2xd+9ebNiwATdu3MDLly+R\nmJgIfX192NnZoWvXrmjVqpWmw6z2nB1tce/+M/F1SFgksnNyoKPNX00iIiIiIiKqvfipuAhWVlYY\nOXKkpsOosSwsTGFsbIiUlDQAQG6uDGFhUYVG3hARERERERHVJkzYkEZJJBI4O9riuc8bcVtgUDgT\nNkREVKOdP38eAQEBsLe3x9ChQxX2PXjwAA8ePICenh4++OADDUVYudTdDyIiotqKCRvSOGenwgkb\nQRAgkUg0GBUREZXWuXPnEBQUpHSfrq4uzM3N0aJFCzRq1KiSI6s6tm3bhpMnT6Jv376FEhRnzpzB\nypUrYWpqWmsSNuruBxERUW3FhI0aISEh2Lp1Ky5duoQXL14orGHTrVs3fPDBB+jXr5+mw6z27Gzr\nQltbCzk5uQCA1LR0xMYmwMrKXMORERFRaWzZsgVnz54tsl3z5s2xfPlyjBgxohKiIiIiIqpemLBR\nYfPmzZg3bx4yMzMVtqelpeH169d4/fo13NzcMGTIELi5ucHCwkJDkVZ/2tpacLCvh4B8FaICg8OZ\nsCEiqua0tbXx4YcfKmyLj4+Hn58fHj16BB8fH7z//vtYv349PvvsM80ESURERFRFMWGjxKZNm/D5\n55+Lrxs3bowOHTrA0tISGRkZeP36Ne7cuYOsrCycOXMG77zzDq5duwZ9fX0NRl29OTvaKiZsgsLR\nod1bGoyIiIjKSk9PD5s3b1a67+7duxg+fDgSExPx3XffYezYsahbt24lR0hERERUdUk1HUBVExYW\nhgULFgAAWrRogZs3b+LVq1c4cOAANm3ahL/++gtXr15FWFgYZs+eDQC4d+8eNm7cqMmwqz0nJ1uF\n11HRcUhLy9BQNEREVNG6du0q/v82MzMT165d03BERERERFULR9gUsHfvXqSnp6N+/fq4efMmzMzM\nlLaztLTE5s2bYWJigjVr1mD79u349ttvKzfYGsTI0ADWVuaIjokXtwUFh6NZ0wYajIqIiCpSq1at\nxOcJCQlK2+zduxdpaWlo27YtOnfuDACIjo7G/fv3ER4ejnr16hVapFYQBDx9+hS+vr5ITU2FpaUl\nOnXqhHr16hUrLkEQ8OLFC4SEhCAiIgI6OjpwcnJChw4doKenV+zrS0lJwc2bNxEVFQVra2t07twZ\nlpaWxT4+v6ysLNy6dQshISEwMTFB165dYWNjU6HXoqxaVW5uLu7cuYOAgAAYGBigY8eOcHZ2LtY1\nlOf9ICIiqg2YsCng9u3bAID58+erTNbkt3jxYmzcuBFv3rxBVFQUh3OXgbOTnULCJiAojAkbIqIa\nLH8lKScnJ6Vtvv/+e0RGRuKbb75BmzZtMG/ePOzevRtZWVkAUKiq0P79+7Fs2TIEBgYq9CORSDBo\n0CCsXbsWTZo0UXqukJAQLF++HO7u7oiMjCy0v06dOvjiiy/w/fffQ0tLS+V1yWQyrFmzBj///DPS\n0tLE7QYGBpg7dy6WLVum8lhljhw5gnnz5inEJJVKMXHiRKxfvx6mpqYVci0Fq1VdvnwZn376KQIC\nAhTajR07Flu3boWRkZHSfsr7fhAREdUWTNgUEB0dDQBo06ZNsdobGxujYcOGeP78ORM2ZeTsZIv7\nD5+Lr0NCI5GTkwttbdVviomIqHqKjY3FL7/8AgCwtbVF79691bYXBAFjxozB+fPn0alTJzRv3hy6\nurpo1qyZ2GbRokVYt24dgLz/P/fp0wcWFhbw8fGBp6cnzp07Bw8PD5w6dQodO3YsdI43b95gz549\n0NPTQ/v27WFjYwMrKyuEhobiyZMniImJwcqVK+Ht7Y0DBw6ojHXWrFnYvXs3AMDCwgJ9+vSBoaEh\nHj58iNWrVyMxMbHY9+nff//FlClTYGNjg/fffx/a2tq4c+cO/P39sXfvXrx48QLnz58vlCwpr2uR\nu3DhAkaOHAkrKyuMGTMGBgYGuH37Nt68eYMjR44gNTUVx44dq/D7QUREVJswYVOAfOHg5OTkYh8j\nb8tFh8vGytIMhob64to1OTm5CI+IhqND0UO+iYio6snJycG2bdsUtiUmJsLPzw///PMPkpKSYGlp\nid27d8PAwEBtX4cPH0ZycjLOnz8PV1fXQvuPHz8uJmv69u2LvXv3wsrKStx/4cIFjB8/HvHx8Zg4\ncSIePnwIY2NjhT4cHBywe/duDBkyBHXq1FHYl5qaihUrVuDXX3/F0aNHcezYMYwcObJQHIcOHRKT\nEyNHjsRff/2lcJ6///4bc+bMga2tbaFjC8rMzMQXX3yBjz/+GL/88gt0dXUB5I1Y+emnn/B///d/\nuH//PpYsWYL169eX+7Xkj2PGjBmYM2cO/u///k+MIzc3F5999hl27tyJM2fO4Pr164USb+V5P4iI\niGobJmwKaNiwIS5fvoxjx45h8ODBRbZ//PgxgoKCoKenBwcHh0qIsOaSSCRwdrKDzws/cVtAUBgT\nNkSkEX/vOa7pECrc9KkjKrT/zMxMhaqLBQ0YMADbt28v1of14OBg7N+/X2myBgBWrFgBIG+0zuHD\nhwslKQYMGICNGzdixowZCAwMxM6dOwvF1rBhQzRs2FBp/0ZGRli9ejVevXqF06dP46+//lKa5Fiz\nZg0AoFGjRtizZ4+Y3JCbPn063rx5IyaX1MnIyED79u3x22+/QSKRiNulUikWLVoEHx8fHDlyBH/9\n9Re+++47WFtbl+u15I+jX79+WL16tcJ2LS0trFu3Dv/88w+Sk5Nx7NixQgmb8rwfREREtQ2rRBUg\nnwe/Y8cO/PPPP2rbRkVFYerUqQCAfv36cYRNOXB2VHzTHhgUDkEQNBQNERGVhba2Nj766COFx4cf\nfoiBAwfC2NgYFy5cQJs2bXD27Nki+7K3t8eoUaOU7vP19YWXlxcA4OOPPy6UrJGbOHGi+OWKquk7\nRZEnNjw8PCCTyRT2vXr1Cs+f503t/fTTTwslJ+S++OILtWvg5Dd37lyFZE1+X331FYC8xNiZM2eK\n1V9+6q5F1bkKMjY2Ro8ePQBA/BnIVcT9ICIiqk04wqaA4cOHo127dnj06BHGjh2LsWPH4oMPPkD7\n9u1hbm6OzMxMvH79GmfPnsWGDRsQGxsLqVSKpUuXajr0GsHevi60tKTIzc1745iSkoa4+CRYWhRe\nUJGIiKo2PT09bN68Wem+xMREfPTRRzhx4gTGjBmDEydOoF+/fir76tatm8rExcOHD8XnqkbgAHkj\nU3r37o39+/fjwYMHamMPDg7G8+fPERsbi7S0NPHLA29vbwB506Hj4+MVqhw9evRIfK5uTZ569eqh\nSZMm8PHxURsDAPTq1Uvlvvbt28PY2BgpKSl4+PChWMmpPK4lP4lEIlboUkaeBIuNjVXYXhH3g4iI\nqDZhwqYAiUSCo0ePolevXggJCcGRI0dw5MgRte1///13dOnSpRKjrLl0tLVhb1cPQcHh4rbAoDAm\nbIiIahhTU1Ps2rULjRo1QlxcHBYuXAhPT0+V7dVNm5IXDABQ5PRk+f6MjAwkJyfDxMREYf+JEyew\ncuVKPHnypMhrkK/BIxcVFSU+t7OzU3usvb19kQkKPT09tWWvJRIJbG1t4evri5iYmEL7y3It+Rkb\nG6stAS4fYZyZmamwvbzvBxERUW3DhI0S9evXx6NHjzB//nzs379fLB1aULt27bB27Vq13whSyTk7\n2RZI2ISjfdvmGoyIiGqjil7fhfLWUunTpw+OHj2Kp0+fIjQ0FPb29krbqksY5Obmis+Lmlqjrf2/\ntz75jwOAbdu2ievaaGlpoWXLlmjQoAFMTU2ho6MDIK9c9rlz55Qen39aUVFxFGcKUEnalPe15CeV\nFm8GfcEpzOV9P4iIiGobJmxUsLKyws6dO7Fu3TrcuHEDL168QGJiIvT19WFnZ4du3bqhZcuWmg6z\nRnJ2ssWNW/97HRkVi/T0TBgYqH6zTkRE1VPdunXF58HBwSoTNupYWFiIz6OiouDo6KiybUREBIC8\nBIGp6f9Gb6ampmLhwoUA8qYh7dmzR+mokOPHj4tJjqLiMDc3VxlH/lFBqqSlpSE1NbVQyW5l/eQ/\nV3lcS3ko7/tBRERU2zBhUwRLS0u89957mg6jkJycHPF5/m8LawJjI0NYWpohNjZB3BYUEo6mjetr\nLCYiIqoYiYmJ4vOiSnur0rp1a/H5nTt30KFDB5Vt7969CwBo1aqVwpo4np6eSE1NBQD8/PPPKqfw\nyBfRVaZVq1YK/TVt2lRpu5SUFLX95Hfv3j307dtX6b7Xr1+L68bkvwflcS3loSLuBxERUW3CKlHV\n0Oeffw4dHR3xERAQoOmQyl19p8LVooiIqGbJzc3FzZs3AQC6uroqy1AXpVWrVnBycgKQV+Ux/5ca\n+V29elVcaHfIkCEK+1JSUsTnqqo+ZmRkYPfu3WrjkI8Q2rFjh8p2e/bsKbTeiyrq+tm+fTuAvLVs\nBg4cKG4vj2spDxVxP4iIiGoTJmyqmRs3bqisuFGTODkqfhsYHBIhVo4iIqLqTxAELF68GMHBwQCA\nESNGwNjYuFR9SaVSfPnllwDyKh99/fXXhdZkCQgIwCeffAIAqFOnDmbOnKmwv0mTJuLzP//8s9A5\n0tLS8MEHHyAuLk5lHFpaWpgzZw4A4Pbt21i5cmWhNp6envjhhx9Ulh7PT0dHBydPnsTff/9daN/p\n06fF9wMjRoxQSHaVx7WUh/K+H0RERLVNzZpLU46CgoKwfft2XL16Fa9fv0ZSUpLaBfmAvDcj7du3\nr7CY0tPTMWPGDAiCgEaNGuH169cVdi5Nq2ttDgMDPaSn533jlp2dg/CIaDjY19NwZEREVFw5OTnY\ntm1boW3h4eE4c+YMnj17BiCvctPq1avLdK7Zs2fj4sWLOHPmDLZu3YqbN29i5MiRMDc3x4sXL3Dw\n4EEkJydDS0sLW7duhY2NjcLxTZo0Qb9+/XDp0iVs27YNjx49wqBBg2Bubg5/f3/8+++/SElJwcqV\nKzF37lyVcXzxxRc4deoUbt26hRUrVuD8+fMYOnQoDAwM8OjRIxw5cgR9+/aFnp4eTp48qfaaDA0N\nMX/+fHz66ac4cuQI+vXrBy0tLdy5cwcnTpyAIAiws7PDr7/+WiHXUh7K834QERHVNkzYKLFnzx7M\nmjUL6enpJToufzWEirB48WL4+vpiwIABaN++PdasWVOh59MkiUQCZ0dbvHgVIG4LDApnwoaIqBrJ\nzMwUKxUpI5FI8M477+C3334rshx3USQSCQ4fPozFixfjjz/+wPPnzwuti+Ls7IzffvsNgwcPVtrH\n7t27MW7cONy6dQuenp4KZcadnZ1x4cIFhVLVymhra+P48eP46KOP8N9//8HDwwMeHh7i/oEDB2Lf\nvn2YPn16sa7rm2++QXx8PNavX4/Lly8r7Gvbti327t2rdI2a8riW8lDe94OIiKg2YcKmgIcPH2L6\n9OnIzc2FtrY2+vbtizZt2sDc3LzIspZlfbOpzt27d7FhwwYYGBhgy5Ythb6xrImcnewKJGzC0L1r\nG4VFIomIqOoZPHiwympP8upMDRs2hKurKxo0aKC2r8mTJyMxMRGdO3cu8rw6OjpYs2YNvvrqK7i7\nu8PX1xepqamwsrJCp06d0KdPH+jq6qo83traGpcvX8a1a9dw48YNxMbGwtLSEm3atME777wDbW1t\n+Pj44KOPPgIAhSpT+ZmYmODQoUN49OgRLly4gIiICFhbW6N3797o0aMHgLxERb169dCsWbNCx7dv\n3x4fffQRDA0NIZFIsGrVKkyfPh0nT55ESEgI6tSpg27duokjbirqWvLHoU737t2RkZGhUPGrPO8H\nERFRbSURBEHQdBBVySeffILt27fDyckJ7u7uVeKNQ2ZmJtq1awcfHx+sXr0a3377LRYuXCiOsPH3\n90f9+vXL9Zzx8fFiOc64uDi1pTgrSnZ2Dna6HVcYuTRuzCCYm1Xvee5hYWGaDoGoVouPj4cgCNDX\n1xcXqiUiosoVFBSEjIwMSCQSjbzPpOpFVbU7oqqmvD9Hc9HhAnx8fAAAy5cvrxLJGiAvFh8fH7Ru\n3Rrz5s3TdDiVRkdHG/Z21grbWC2KiIiIiIiIagMmbAowMTEBADRt2lTDkeR5+PAh1q5dC6lUim3b\ntkFbu3bNYnMuUC0qMIijU4iIiIiIiKjmY8KmgHbt2gEAQkJCNBwJkJ2djWnTpiEnJwezZ89Gly5d\nyrX/+Ph4lY+EhIRyPVdpOTnZKryOiIxFRkaWhqIhIiIiIiIiqhxM2BQwe/Zs6OvrY8eOHZoOBT/+\n+COePn0Ke3t7/Pjjj+Xev4WFhcqHi4tLuZ+vNOqYGMHC/H9r1giCgOCQCA1GRERERERERFTxmLAp\nwN7eHgcOHMDFixfx2WefISMjQyNxeHl5YdWqVQCATZs2oU6d6r3Qblk4OxWYFhXMaVF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UtAVmSxWBoqLHGF2iXE0a9PEgcOHfe0JR89RefO7WT+qBBCNHFt27blhhtuCHQYQgghhF8u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\ngP1fQfFFCI6D/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EB0ot+knw9biXsFrHqkqKqq1useWxiLxcLmzZvZt28f2dnZBAUF0aFD\nByZOnEiXLl0CHV6Dyc3NJSrK/YOTk5NTrwWVW6v0jCx+WLUJq9V7WGRwsJERQ3tLIWIhhBBCCNHi\nZGblsWf/cSwW33o0cYYSpqU8R6jT+wNyVdGgVFPXJN8YS/jjB9xLVldSarNg0OnRavwnalq6/WeP\nMP2luzyPq0vWVFQ5ybPyd/9xL5V+GVRVJac4n+iQCL/b/+eDP/DltksrQr1w08PcN2We375jnruZ\nlAtnAdBptCx/8n36dexR+YCQn1phtapD7q+ZR8BhrT7Y7tPgjq/8b/v3BEjbA1oDxHavsFpV2S28\nw6WROdkp8OEN5KaeJOrv7lFi9XEdLSNsamA0GpkyZQpTpkwJdCiimWvbJoY5s6ew7Lt1FJdYPO3F\nxRY2btnP8CE9iY5qHnMphRBCCCGEqI7T6eTw0TOcOp3us02jUejVoxORMUaKTimEltUIdgKl/X7G\nd2obhu97jS5a3/ovp5x69g97guv8JGsATAa/YzBajf4de/Lotffw6nfv1TpZA94jbR699p7LTtaA\ne4ZBVckagEm9R6AoCofPH+do2kn6VFEXp9hSwsmLl2rZOFUXXctWvqp0QA4XlbLsyCn6tO9H3wlz\n6RidgAYVck56Lzl+4TBkn7i0klhcFcuPu5zuhA+4CyVnHHTfKnDqzWjje7uTOUd/gBL/M3OuhCRs\nhGhEEeGhjB3dnx27jpCTe6lYmd3uYOv2Qwzo140O7eICGKEQQgghhBBXJi+/iN17j1FU7DtNJSw0\nmMEDkwgLDWbz8d0sygrh6/BsfrKb+F1RW3oXxPDlru8wkcj1Qfk80i6UDiY96Q74y+kclljDKV38\nPkXB8bVORrQ2j836BTMGjKtz0mX+2Ovo17HHFSVramPuiKuYO+IqAKx2W5U1PZPTUqg4IahrXAeC\njf4TdZuO7uIf33/geXzr6Fn8447fQ0yS+9Zn9qXODitkHXcnb2KrWPWqFtOstPYSOL/TfWsgkrCp\n5LbbbiMiIoLJkyczceJEYmJ8l2sT4koEGfSMGt6HfQdOcD4t09Pucqns2Xec4mILPZI6yApSQggh\nhBCiWXG5VE6cPM/R4+fwV3kjKbE9PZI6eC7QxyQNZlHHsVx/Bn5ymAGFw7tWAFCKhm7Tfod28DRI\nSKAtMHTTUhbVotaK4LKTLg2drKksSG+ocltsWDT/O/NeDp07zsHzx6ociQNw8Jx3XZweCVWXL3l+\nydvEhUXTt0MSvUM74feK32GFxEnuUTmFGTW9jAYjCZtKjh07xq5du3jzzTdRFIX+/fszadIkJk+e\nzIQJEwgLCwt0iKIF0Go1DBqQRHCwkaPHvZesO3biHMUlpQzsl4RW2zSrlQshhBBCCFFRUXEpe/Yd\nJzfPd7WlMPtFRsTmYeoxxmfbI9Pv5pa39hFpDia3wkpNz8x8gDmDp3n1rUuBXNH8dYpJ4H9n3ut5\n7HD6ri5W7tD5416P+7b3P3Km2FrK2z8u8koopry2xnfkTnxvuHup+35JNlw4UlYjx10nx5q6lyBH\nSR1fUd1JwqaS2bNnU1BQwPHjx1FVlX379rFv3z5ee+01tFotQ4YMYfLkyUyePJkxY8ZgNvsfkiVE\nTRRFoUdSR4LNJvYeOI7LdemXRmpaFqWlVoYN7kVQkKwgJYQQQgghmiZVVTlz7gKHkk/hdPoWCu5Z\nuIHROZ+hy1DJ7DsNZ1h7r+1dY9szb/i1fLJtmafNX7KmnCRtWi9dNSs1PTj9dvaeTubg+WMcOn+c\n3lWMxjlaaZpVl9j2VU6zWrZrDZuP7aJP+yT6tE+i56CfYS6rkRSkqnz943/4fOmrvBSSQVetb1Ht\n+iCrRFUhNTWVH3/8kTVr1rB27VrOnj3r08dgMDBy5EjPCJzRo0ej07WMHJisEtVw0tLSfNqycwrY\nsTsZm807a2w2GxkxtBehIZIYFEIIIYQQTYvFYmPvgRNczMz12WZy5jMh60M6l+7ztJX0uJ68Ka94\n9UtOT2H+gsc8j/0laxISEnz2X5+rGomWparl2QH+u2Exjy/8s+fxzMGTefe+l/z2ffi/f+TTLd96\nHj8399c8MG2+V59PNi1l1xeP8/dQd3Ht3FK1XleJkvkWVWjXrh133HEH//nPfzhz5gzHjx/n7bff\n5pZbbiE+Ph4Am83Ghg0b+MMf/sCECRPYu3dvYIMWzVZ0VBjjRvX3Wdq7pMTCpi37yczKC0xgQggh\nhBBC+JGWnsW6jXv8Jms6l+zh5tTnPMkahwr/sbchddhvffr2apvIfeNvBqofWVPZ/LHX8ertTwFc\n8apGomWprhbomB5D+OMtj3Dr6Fn069CdQZ2rWCUKOFSpLk7fDr7TrOaPvY6Bs5/llLNhZkXICJvL\ntHLlSp555hm2b9/uaduxYwdDhw4NYFT1R0bYNBx/I2zK2ewOdu4+QlZ2vle7oigM6JtIxw7xDR2e\nEEIIIYQQVbLbHRw4fJLzqZk+2/QuC2NyFtGjaBPll8xb7WaeKmrDEaeR+yfM474JN/vdb3J6Cr3a\nJvrd5m+ETbn9Z49IskbUO5vDTreHJ2NzXFpa/tDffvC7XPnuU4f41V9/xqLwM0TYbPU6wqZlzN9p\nBNnZ2axbt441a9bw448/cvToUa/tRqMRk8lUxbOFqB2DXsfIYb3ZfzCFs+cvetpVVWXvgRMUFZfS\nq0cnWUFKCCGEEEI0uqzsfPbsO06pxeqzrY3lGJOz3iPMkQWA0xzLksgJPLjvEGaDiV9PuJHbRs6s\nct9VJWtqIska0VDeve9lDp0/xsFzx8ksyPabrAE4fP44p10GJucmcpWaAxTVWwySsKlCUVERGzZs\n8CRo9u3b51WcSK/XM2zYME8B4tGjRxMUFBTAiEVLodFoGNCvG8HBJpKPnvHaduJkKiUlFgYNSEKr\n1QYoQiGEEEII0Zo4nS6OHDtDyinfkeIa1cGw3CUMKPgBDSqqRkdxv59ROOxBBip6bjct5I7R1xMT\nIiP2RfNh0OmZ3n8s0/uPrbHvwbIVqkrR8JUtol7jkIRNJf/617/49NNP2b59Ow7HpQKwGo2GQYMG\neRI048ePJzg4OICRipZMURSSEtsTbDaye99xXK5LFffTMrIptVgZNqQXxiBDAKMUQgghhBAtXX5B\nEbv3HqewyHcJ4yjbeSZnvUuM7RwA1nYjyB/3DI6obgCYcC/bLURLdv/UWxnWtR+f/7SctXs31+u+\nJWFTyYcffsiuXbsA6N27tydBM3HiRKnjIhpdQtsYTKYgtu1Mxma7NH8yN6+IjVv2M2Job8JCZQUp\nIYQQQghRv1RV5cTJVI4cO0vlsqeqqtI9fxUT8r9CpzrI1QSjTnkRS7erQabui1amc2x7Nh/dxfrk\nbfW+b1klqhpWqxWr1YrNZsNut9f8BCEaQGREKONH9/dZ2ru01Mqmrfv9VuYXQgghhBDichWXWNj8\n00GSj57xSdaYjEHYI0pYem4jqsvBGyXRDM1sz+7g7pKsEa1S5SXm65OMsKnk7rvvxmw2s23bNlJS\nUkhJSWHBggUoikLfvn09I24mTJhAeHh4oMMVrYTZbGTsqH7s3HPUa4lvh8PJtp2H6dcnkc4d2wQu\nQCGEEEII0eypqsrZ8xc5ePgkTqfLZ3v7drH0690VRatw675vGZtj5ozLwKwBk4gNjQpAxEIEVuVk\nzR9v/i2//M/t9bZ/Wda7CiUlJWzatIk1a9awZs0adu/ejdPp9GzXarUMGTKEyZMnM2XKFMaMGdOi\nVomSZb0bTnXLetfE5VI5cPgkZ85m+Gzr2iWBPj07ywpSQgghhBCizqxWG/sOpJBxMcdnm0Gvo3/f\nRBLaxnjatqbsZcGGL/jfGXfTO6Fbg8ZW3bLeQgRK5WTNq7c/xTV9xtfrdbQkbGopPz+f9evXexI4\nBw8e9BoeGBQUxM6dO+nbt28Ao6w/krBpOFeSsAH3Jx8nT6dxKPm0z7Y28VEMHtAdnU5WkBJCCCGE\nELWTcSGbvQdOYLM5fLZ1sCbTe8ocgsKifbapqtooHxZKwkY0Nf6SNfPHXlfv19FSw6aWwsPDmT17\nNq+99hp79+5l+fLlDB8+3LPdarVisVgCGKFoLRRFIbFLO4YN6YlW6/0jnHEhh80/HcBisQYoOiGE\nEEII0Vw4HA727j/O9l1HfJI1OpeV8Vn/5Zr0vxF5Zrnf58vIbtEa7T97xG+ypiFIwqaWkpOTeeON\nN5g7dy4xMTFcddVVbN++PdBhiVasbXw0Y0b2IyhI79WeX1DMhi37yS8oDlBkQgghhBCiqcvOKWDd\nxj2cPX/RZ1u8JYUb054nPH8zTzOAgt7zAhChEE1T/449efTae4CGTdaAFB2u0unTpz3Tn9asWUN6\nerpPH7PZzJgxY5g0aRKTJ09m0KBBAYhUtGYR4SGMHz2AbTuTKSi8lKCxWGxs2rqfoYN6EB8nBeCE\nEEIIIYSby+XiyLGzpJw8j4r3CBmN6mBI3jL65H3PO6WRvFbSjW7tu3JzSYEUFRaigsdm/YIZA8bR\nv2PPBj2OJGwqee655/j44485efKkzzaDwcCIESM8K0WNHDkSg8EQgCiFuMRkCmLsqL7s2nOMCxWW\n+HY6XWzbmUzf3l3o2lnm/QohhBBCtHYFhcXs2XWQ/BIHVErWRNjSmJL1LqHx7flj0Dy+PX+ep2/4\nGTP6jJWpT0L40dDJGpCEjY/vvvvOk6wpXwmqfATN2LFjMZvNAY5QCF86nY7hQ3txMPkUp057jwY7\nePgUxcUW+vTqgkYjf2yFEEIIIVobVVU5eTKV5KOncPmpitG3YDVDbZspmfS/5HSdxnxLEXfrDJj0\nQQGIVghRThI2lfTt25dx48YxefJkJkyYQFhYWKBDEqJWFEWhX++uhJhNHDjsPULs1Jl0ikssDB3U\nHZ1OfuyFEEIIIVqLklIre/cfJys7n8olTIMdOUzM/i8RvceQO3gpqt4EQLgpNACRCiEqkyu3Sv7z\nn/8EOgQhrkiXzm0xm4PYuecoTqfL034xM5dNWw8wYmhvTCb5tEQIIYQQoiVTVZXzaZkcOHQSh8Pp\ns71b0U8kWLdimPM3CiM6N36AQogaySpRQrRA8XFRjB3VH5PRu8ZSQWEJG7bsIy+/KECRNZzk9JRG\nfZ4QQgghRFNls9nZuecoe/Yd90nWqM5SBl14l49O/sDdBfFYwzoEKEohRE0kYSNECxUeFsy40QMI\nDwv2arda7Wz+6QDpGdkBiqz+vbXuU+YveIzFu1fV6XmLd69i/oLHeGvdpw0UmRBCCCFEI1JV8nZ/\nz7ofN/p9rxcZGcp/U77kzvRiOo28h4W/eBWdRhuAQIUQtSFToqpx/vx53n77bX788UeOHDlCfn4+\nRqORhIQERo0axZ133smUKVMCHaYQVTIaDYwZ2Y/d+46RcSHH0+50utix+wi9e3YmsUtCs678n5ye\nwjsbPgfgxW/fBGDO4Gk1Pm/x7lWe/u9s+JwJPYbRq21iwwUqhBBCCNGQLiRzdNt6jur6+WzSaDT0\n7tmJLp3aYoj/FZ2iE2gTHhOAIIUQdaGoqqoGOoim6I033uDRRx/FarVW2++aa67ho48+IioqqpEi\naxy5ubme15STk0NkZGSAI2o50tLSGv2Yqqpy+MhpUk75HrtTh3j69emKRtN8B9xVTL4APDPzAW7o\nNxbT8W8xnfgeTUkWLnMMpd2uoTRpJl8f2OTTvzZJHiGEEEKIpkaxFmDd+h+25rcnXx/vsz08LJjB\nA7sTGtJ8V7tNSEgIdAhC1Ep9X0dLwsaP119/nV//+teex0lJSQwZMoTo6GgsFgsnTpxg69at2Gw2\nAIYPH8769esxGo2BCrneScKm4QQiYVPu9NkMDhxKofJPfWxMBKEJBvq2T6rzPpPTU5rEyJSKSZvO\nGhsr2uYRbs3y6ZcfFMOM9AhOu9z1fSRZI4QQQohmSXURdGQJJw4cYG/wJFTFe2qTojrp2TaIxIHD\nmvUHcyAJG9F81Pd1dPP+yW0AaWlpPP744wD06dOHTZs2cezYMRYtWsTrr7/Ou+++y7p160hLS+NX\nv/oVANu3b+ef//xnIMMWolY6d2zDiKF90Om8/6BnZuXx07bDLN6+uk77a0o1YOYMnsYzMx/AhItF\n4Wf8JmsAwq1ZLAo/gwmXJGuEEEII0SzpMg+jW/wg646Usidkqk+yRmfL5GTRTyQNHtHskzVCtGby\n01vJxx9/TGlpKZ07d2bTpk2MGTPGb7/o6GjeeOMNnnjiCQAWLFjQmGE2CfvPHgl0COIyxMVGMG5U\nf8yVlvaOM8VQmu5i8U8/1mo/lWvANIXVluYMnsaCoQPoorVX26+L1s57wwc3uWSNrHQlhBBCiOoo\nlnzC1r/AhRX/ZqnhZjKDOvv0Sc/awRbXGW6+6u7GD1AIUa8kYVPJli1bAHjssceIiIiosf/TTz+N\n0WgkJSWFixcvNnB0Tccnm5Yy/aW7+Ouy1peoaglCQ82MHd2fyIhQr/YQfTCuLC1LNq+p9vn+asbU\n+7QoVUWxFqDNO40hfTfZuz4mfe1fSf32MdI+/znhPzyMYvNdnrx33v5a7X7iuaWoi39O6tcPkPrj\nK2Tv/wpH5lFw2ur3ddSSrHQlhBBCiCqpLkzJX2FadBPrstqwOepWnBqDVxejYidNPcnISVfxxxse\nom14bICCFULUF1klqpLMzEwABgwYUKv+ISEhJCYmcujQIS5evEhcXFxDhtckfLJpKY9+/DIAr373\nHjMGjKN/x54BjkrUlTHIwOgRfdiz/zhp6ZeWfdRr9JAP36xbzS2xuZhTvIv2flZs5sXl73n6X8m0\norM56ZTu/4zQ7GR0pTnE6xWiFQfa0mw0pTkorksjZXzWMciColG/xWkI8WoOdvgmcfzR2Itpl76F\ndgAZwFF3e8HIRygafJ9P/3OZZ0jQqWjDO0A9L3/ZUle6utz6Rk2lLpIQQgjRFGhKsghZ9ksyLMFs\niPlfbNpgnz4J0Wb6DerLdIM+ABEKIRqKJGwqKS8cXFhYWOvnlPdtSUWHq1IxWQPw6u1PSbKmGdNq\ntQwZ2INg81mOp5z33lhiYu/BXYzP3o4WJ+QcJ+j8VqY79Xyg6cRpl4HnrrmPOT36o8k64kmyqMUX\nOXlmL5rSHAzWPMyOIjqEhJE5b5nP8dcf3U6X3YuYZMy/rPg1Jdk4wzt5tbnM0VB07rL2B+AIbe/T\nZnfaeX7B/SyPOIVdVcjUmIlK6IczrAPOsHY4w9rjCG2PM6w9LlM01HGZ9F5tE3lm5gOe5EttkjaN\nMsrpCry17lPe2fB5nRN65a/rvvE3c//EeQ0YoRBCCNE8fHlwJ20YT1bsUJ9tOo1Kv37daZ8Qi1LH\n9x9CiKZPEjaVJCYmsmbNGhYvXsxVV11VY/+9e/dy9uxZgoKCaN/e90KvRfj4Vhh1K58Wm3h00d89\nza/e/hTzx14XwMBEfVAUhV49OhEcbGTfgRQqLhx3NHQshboYpmf+G6OrGHDXf9kQeQK7Jojg7Q/D\ndt99+ixyn3MBxV6Kqjd5NUcGh5PluvxfQ1pLLpWr1ZQkXkPkxb2XvU9nWDuftvT8LDpo3FOl9IpK\ngloMqT+5b5XYNXrSVSN5hkhKzfGEt+1LVJ9ZOGJ7V3vc8qRGxaSNzmnjluASn6XJ63OUU0NoqSOG\nhBBCiMZ2MTMPQ14YWaG+yZroyFAGDezhU5dQCNFySMKmkmuvvZYFCxbw3nvvMW3aNG688cYq+168\neJE77rgDgClTprTcETanN8OFLYxw6ulcNrJCkjUtT8f28ZhNRnbu2I/Ndam8VZqpJ4vb/o6JWf8h\nznoSLU4MChhUa532r7Hk4NR7J0MizWEkq1VPL3LpTLhMUbhM0aQUl3Le5sBqCMdhjKBH12FExvgm\nQTR9byJ/9ztVrhIFUGCIwjbtz2w/sApX3inMJZlE2nPpG2zA6WeETVruBTrWUMi4nN5lpyN2OloL\nwXoWcneQHx7jN2HzxabPGVZ8GEN0N0LiezGnr7vI+YvfvklnjY3pPz1JRMXj+hnl1NSSNdAyRwwJ\nIYQQtXHF04FVFRQFh9NJ8pEznDqT7tPXpTqJTghj9MB+MqpGiBZOEjaVzJ49m0GDBrFnzx5uuukm\nbrrpJu68804GDx5MZGQkVquVEydOsHz5cl577TWys7PRaDQ8++yzgQ69wXXR2lkUfoZtV73JPEnW\ntCiu0hwydy0k6vwGrrNaWRFxJwX6eM/2fH0blrZ9Ep3LQlvrcRIsR0mwHCXGesY9XaoWNCU5OEO9\nEzbtIuLZlzCCpUoOLlM0IVGdGNhzXFmSJgpVb/b0DS+7ecXt5zhfH9jER+kRLArP97ta1Cmnnlsz\novhZtoU5M1/w2pZZRexWh50wo5lsl5ZoTe1eb0X+Ru1YHTZWbHifhyJOQ4VFnu43xTC3k5mQwnOE\naFSf58Gln8WVI19hVhNL1pRrSSOGhBBCiNq4kunAr3/3L/6bGELPxOGc63kvu/ceo6i41LezzsXE\nkYOJCAvx3SaEaHEUteL8BwHA6dOnGTduHOfPn6+xr6IovP766/zqV79qhMgaT25uLlFR7oktOY+E\nEGmqkL2//nUYekeAImv+0tLSAh0CgLvezNFvydn9Md1Lz6FX3L8KVMCiCWFF3INkGLtXuw+9y0K8\n/TRt1HTa6PKINLhQgyPZlXmBbJceJTgGbUgbencbgTmuO2gN1e7vSlUcpWHCxXvDBzPGdgpNSTYu\nczSbDV24Z/tuSssWyKvrGyq7087FrHMYSzJIwIKu4DzawvNoC1Pd9wvOo7EX+zwv88Yvscf19Wo7\nnZXKf9+9g7fCUi/79eZN/CMlvb1HAb76xQvcVrgNhzYIpy6Ivp0HoujNuPRmVL0JVWdE1ZkpcLjI\nslrQGcPQGcMwh0RjCo1HNdTvG8Dy70lnjY1F4WeqTqLlN90RQ0IIIURNktNTmL/gMc/j2v49W7Jr\nBSdXv8Lvgi8SoVHZHTGTXZHX4e8KLbFrAr26d0KjaX0L/SYkJAQ6BCFqxes6OieHyMjIK9qfJGyq\nkJWVxWOPPcbChQux2fwv8zto0CD++te/MmXKlEaOruFVm7DpOhF+/k1gAmsBApmw0RRfwHhyNaaT\nKzGk7UBR/Y1RcXOiY13MXRwPGVXr/Wu1GqKjwomOCiMmOpzwsBA0msYZqutvSo2/N0q17XdZVJW0\n9CPkpR/Cln0C8s4wOiaK0jFPoAaFeXXdcmIPxxb/ht8FVzWup2bW9qPInv2B57HT5eS+V2ayPOLU\nZe2vuNdN5E960af9uSX/xyMZn+HQ6LFrDHRq0w1jcBSqzlSWBHJ/LVEVUnKzUQzBaIJCMQdH0aZN\nd5acSGb6T0/6TdaUO+XUu0cMDbv2smIXQgghAq2u7zE2b1hA0p43GKi3kKeLY23MvVww+k6nMpuN\nDOqfRHRUmJ+9tA6SsBHNRX0nbGRKVBViYmL44IMP+Nvf/sbGjRs5cuQI+fn5GI1GEhISGDVqFH37\n9q15Ry1R8aULzLWHfqJv6Wli+1wFpojAxSSqZMs5CUeW0TZjG4aMPSjULkerxcHkrHfpWrKLFPMw\n0ow9KNFFVPscp9PFxcxcLmbmAqDTaYmKDCMmOozoqIZL4NTlDZK/qToV26+IopCQ0IuEhF6eppIq\nusaFRZGXOJ51ufsJt2XTUesgyllUbRKtMk1Jttdji92GWan98yurXBS63PG0o/Qi+9IctLNn/fYL\nB9pWarPF9eeW3jd51+Lxo4vWzi3BpVX+fwkhhBBNXW2nA1s6TST12I/MvbgdRQ+HQyawJeoWHBrf\n4sEdO8TTt1dndDq5bBOiNZKf/AouXrxISkoKVquV+Ph4evToQXR0NNdff32gQ2tagmMBsDnsPPvO\nb9kYegjnEkg1tqHt4JvQd58CHUeCwVz9fkSDKbGVkrz1Q3od+ZhuzqqL71Z0wmkkObwPKWG9uO7c\nZ3TR2lGALiV76FKyBxXI07chzdiD44ZeZIQNAbX6IbkOh9MngRMdGUZ0dDgxUWGEh4dccbG85PSU\nOo+Y8feGqmfbro1a5LZbXCe63fAnz2MrkO60oy3KIHLFQxiyDte4D5c52utxqd2C2W9ln9pRdf4T\nNthLQH+Z+9SbMJ34vlZ9w7a8gi7vJLY2g7G1HYzL5LPemBBCCNGkVXyPUd0CAuFAsS6c9dF3cdbc\n32c/BoOegf0SaRMf7bNNCNF6SMIG2LBhA0888QQ//eS9RG90dDQPPfQQTz31lGS1K+rvrpmx5/Qh\nhpIDgBboaMmALf9y37QG6DAcEidA4kRoNxi0l3nFV2b/2SP079iz0Z7XnOWXFvH25iV8G1F9ssYe\n3YOiLlPZZuhEr35Xc3bfOl759k0+1XTyqTeiAJH2DPIs2bySn8pp1waeuepXDIzvQ3ZOPlnZBdhs\n1Y+icDicXMjM5ULFBE6Ue/SNewpVcJ0TOL3aJnLf+JvrXOSv4huq+8bf3DRWJNLqcYZ3IK/3bWi2\nvkWRLppCXTRFuhjsioEIewYxtrPE2M5iUC2UdvOePhQcZObaGQ+xIvsw2EsIUu0MbtsZxVGKYi+t\n8LWEi9nnyC+4SJDLThAOogwGVJP/IZuKw3L5CRudCW1h7er0aGxFhOx9H3gfAEdEZ6xtBrPHFUZY\n0mSiOwxFaYXz9oUQQjQvcwZPQ+e0VTsd+KR5CBuif4ZFG+qzrU18FAP6JhIU1LC1/4QQTV+rr2Gz\nZMkSbrrpJhwOR5V9Zs2axdKlS1vVsnlV1bA55dS7V4macDOvfvceXdY+xw3Gghr3Z9MGcdrcEbXr\nBNoPvYXgTsOgDhdef122gFe/e6/Oy4l/smkpj378Mo9eew+PzfpFrZ93papLElVXw6ZOS0GqKtrs\nIyiq6nfJ6DsWPMZHluW01Xqf27bYvlgSZ1CaOB1neCdPe+VpRX+4+h5uCS7FdOI7T9He0m7X8lmx\nief8rOijqipFRaVk5eSTnZ1PVk7NCZzKyhM4MVHhRNcxgXPFy2g2ElVVsdkclJZaKCm1UlJqpbTs\nVlLW5nDUvBKV2XaRktAIenVOIjwsmPCw4AZ7Y3f47CH0mYdxWQtx2YoZ0KY9OqcNxWHxJIAUeym5\n+emcy0hB57Khd9mINuiJ6nk1+qzDBJ3fesVx5Kg6zpg60HXorRT3l8LnQgghmgBVBacVdEavZvPh\nL4hY94xPd6tiYnP0rRwLGeOzTavV0K93Vzq0j2tV1x21ITVsRHMhRYfrUWFhIZ07dyYnxz1KZMCA\nAYwaNQqTyURKSgorVqzAarUC8N577/Hzn/88kOE2Kn8Jm4orubx6+1PodXocq19icPExemotddq/\nLSgcw20fuUff1GD/2SNMf+kuz+PaJm3KkzXlVv7uP40y0qam5FJVCZvyhMl942/m/onz/O9cVclN\n2UDB3oV0zNxJO7UYS+dJ5Fzzpk/XDzZ9TZttf+UeUy571TCKOk8hadyDOMPaV3nscjWNVKlNf1VV\nKSwqLUve5JOdk4/NVnVi1B+9TusuYhztTuKEXcYInMamqipWq80rGVNSYqHUcumx03n505aqYzQa\nypI3Ie6v4cGYjEEB/z+r6k3r5bLFDyRr7qc+7S7VhUaREThCCCHqkaqiKc1BW5iKtuA8pVnHyE8/\njKEonWBLFjHOQmy95pA/0btof/Q3d/t8WJFq7MHamHso0vlOc4qKDGPQgCSCzUafbUISNqL5kKLD\n9ejzzz8nJycHjUbDhx9+yO233+61/cyZM1x99dUkJyfz1ltvtaqEjZfOY2DUbWwrNnJ60d8BePTj\nl90Jiac3UWKzsOXAOvo6MghL2wUn10Pu6Wp3abDmQ1QXn3aL3YrichEUdKmWRv+OPXn19qc8yZfy\nr9UlbSona169/alGSdbsP3uEV79zjz6pTZzlKiZA3tnwORN6DLs06kN1oc/Yi+nkCjTHvieh1HtV\noaCzm1BsRT7LMU/tPZp1xT9jU9IQunQZTpyi4G/cRkPVgFEUhbBQM2GhZrp0buubwMnOx2avPoFj\ndzjJuJhDxkV3UlWv11WYQhVGWGjjJ3BcLhVLWfLFnYCxlI2Ocd8sFisuV2Dy4BaLDYvFxoWLuZ42\nvV7nGYETHu5O5IQEmxr1/+2zYjPTnfpqV4k669RzpPutjA4GQ/ou9FlHUFT/I41sbYf4bf/topd5\nIu97LCEJONsNo0O/6zDGdocmnuQTItCaywhFEVgt/TxxWAqwHvkea/YJ1LyzJBpU9EVpaAtT0Ti8\nP5hsV+m5zgLvqb+qqmItLaHA0JEibRTFuiiyDB05EjIGKn2woFGd9OjZlW5d2wX8AxYhRNPTqkfY\n3HXXXXz44Yfcd999vP3223777Nq1i6FDh6LVaikoKMBsbh2FdKvKDPpLhPhNSOSchpMb4OQ6rEdX\nE2TN894e2Rke3e/ztM+2fkfWVw9zfXApWbH9iR5wPe2H3AjmKJ9jv3brI8wLLoX9X0HxRQiOg/5z\n+bTYxMNliaVqY2wgNf0fVR5h43e0ysDJGNJ3Yjy5EtPJVWiLL1Z7zNypf6W0+6zLjvmtdZ/WuQZM\nxdirHRVUBXcCp4Ss7HyyswvcI3BqSOBUVp7AKZ9CFRZqvuI3O06ny5OAKbVYKCmxXnpcaqXUYr2i\n/deGw+VAq9cQGxGJ2RSEyWREq1XILyghv6CIoqLSK9q/VqshrCyJE1E2Gic01IymAerDlJ8jnTU2\nn7pI5SqO3is/BxV7MfoL+zm+6zOCMvbQ3ZFJSNkKWDlXv4GlyxSvfbhUF/P/egvrQw54tTvNsdja\nDsbWZgi2toOwx/QCzZV/VtHSL1xao9b6PQ3E73/R/DTr80RVUax5OHJOo+SfISiyE/Y2g3y6zf/X\nL1ir3Vjz7gCLJoRiXSRF2iiKdFEUmjuTnTiHUouVUout1h/eRNnOM1azHWa/ejmvrFWRETaiuZAR\nNvXobNnStLNnz66yz5AhQ2jXrh2pqamkpqaSlJTUWOF5FBcX88knn/Ddd99x/vx5goKCSEpKYt68\neVx99dWNGkt54qHiaJd+HXv4jl6J6uy+Db0DS3EBP+1cTMGBb4m4sIdhSj7GrhP87n/T0V3cpS2g\nnbOUdhmbIGMTrHwM2g5gftcJtJ1xLfeuWEacxsGIHx4Ar4u/w3ByHSOcejprLk3dasxkDfj/P9I6\nrZ7kUmxeKi5zDKXdruGzYjMvltWD0aHywqBB9El+j8hdv8NkL6zxWFZV4Vx4DyLMsVcU8/0T53mP\n6qmlOYOnXfbqSu4ROMGEhQbTtXOCO4FTWEJWTr47iZNTgL2mETh2BxkXcsi44D0CJyY6nOgo/wkc\nh8PpGRnjmbJU4bHVWre6O5dDq9V4EjFmUxCFjiLe3vgpebYC8mwF/Hb6HVw3pOo3xA6Hk4LCYjYc\n2sWelCO0NccTZ4pGV8tEhNPpIje3kNzcS+dY+Ygoz5SqcPf3RqfTXvbrrJiMPO0ysHLkK37rIq0s\nNnG67Oeg4jLrtvaj6NR+FADZdgsHj60j0ZaOw88Im5SL5+ij5vi0a0syMaWswJSyAgCXzkxuRDcO\nKFHoO42hTe+rMIXU7eenWV+4CL9a6/c0OT2FdzZ8Dnj/7NWk2lGhosVp8ueJqqJY89EVpqItSHVP\nXSpMRVdwHmt2CvqiNMwVxhgX97qRfD8Jm+DwtuQVaDDpjJ5ETLE2kiJdFEW6SIq15V8j/S6/TVqm\nb1uVMbsYULCKYXlfUzTheUou53ULIVqFVj3CZvjw4ezYsYPt27czbNiwKvsNGTKE3bt3s2vXLgYP\nHtyIEcL+/fuZO3cuJ06c8Lt91qxZLFq0iODg4Ho9bk2ZwSsp5uu0W9E6SsEU4dWuqioTfnctazWb\n0FYzSMKJBruqYlSqPnUrFkcOlPL/o9qOLPhjWA73GjJq3K9Do2ebEktex0m0G/oz4mI7N0D0gaeq\nKgWFJRVq4NScwKnMoNcRFRUG4EnM1HUfl0Ov12EyBZUlZYK8kjNmUxB6vc4nkXTFF4zjbubWIbPI\nzy8iv6C47FZ0xfVyQoJNnno45bVxDIaal4xqiLpI1Vl+YAO6lU9wpym35s4VOFXINLUlaNyjlCbN\nrLF/cnoK8xc8Vuc4K7++T37x1yZ/gdtaRpy0pu+pP439s9rUtZbzvq6a2nny7eZPGXX8Y8Ks2UQ7\nCwmhdn/brYqJ3HaTyBj1jGfUbGmpjVKLlfNZFzCr4NI0bA2ZEEc2k7Leo53lKKecelaOfIVZw66t\n+YmtnIywEc2FjLCpRy6X+0KmpikU5dvL+zeWtLQ0rr76atLS0ggLC+PZZ59lwoQJFBcX89FHH/He\ne++xbNky5s2bx7Jlyxo1tvljr/M/sqYWtPog0Pt+MpFdlEeSWkhNGUQtrmoTOgBdtHa6BLvnG//x\n81eZefoLVI0el1ZP3879CDKGgC7Ivfy4Lgh0BvJtdk5lX0RjMKLVmwgNiaJj54HQ3vfT/FKbBcWS\nT5DeiKI3uvdT6TyaP/Y6tE4rI354oMraHV20dhaFn+GzAb/j203/4d4qFvlx6c1YO02kNHE61o7j\n6aJv+VPzFEXx1F7p2iXBk8Bxj75x18Cx17Cakq1sBE59Mxj0nuSLOyFj9ErQ6PV1/9VaX6OcwsMu\nJW9VVaW42EJ+QYUkTn5RnaaeFRWXUlRcSmr6pSXiTaagS3VxykbjGIMMnt+VDVUXqTpX9xtPYcev\nWX94Oc6zW+jpuEib4rM+dQcq0yrQxpJOrrOKZVcvnKZzTDs0WneSqlfbRJ6Z+YBXnBXj98ffhUtT\nv7BrTSNOWsv3tCr+fvZ0Thu3BJdgOvE9mpIsv6NCofkna5xOFw6nE4fDfftqxwqWH9jIbcNnMaRD\nH69tDocTVVXR6bTo9Tr0Oh16vfv+lpN7eHvDp9wwdDo/H38DWq2mxdUiaejzRLEWYs06QU7aAew5\nKSj552inWAnuPZuSPrf49F+4Zy33abw/zLQpRq+RMBVHyJS32TVlNRJ3HPbZp1Ex4qrHb5vFYaXU\nXkA39SKxzmxCHDlE2DPoVLoPvWq79KHd8vdwaA3N+mdJCNFwWvUIm6FDh7Jr1y527NjB0KFDr7hf\nfSuvsaPT6di4cSMjR4702v7888/zhz/8AYAvv/ySuXPn1tux6zszWFuqqnL6fDKndnxOePouhqjZ\nkHHw8nbWdSL8/BvGPDaVzUHbr2gfld3+xqP86fx/6FQxEVOe/Knw1WkrRltc8xDZvIl/ZM7GLXxm\nX0Gcxp2EsGpNOBOnY0mcjqXDGJ/lIls7dwKnmKzsArLLkjg1JXBqy2g0eI2KKU/GlN/Xai9/mlCg\nqaqKxWIjv6CIvPxiCspG4pRabFe0X4NB70niRISH8F3yOt7atJCnA3nB77Sjz0rGkLEbQ/ouDOl7\n0JZm+e16Yf4Kr2XuAS4UZPG3N27lrbA0TujjKIzpS+8R87HH9efrA5u9Ltj/cPU9VV64PNfMLnBb\n64iTyvG3pO9pbVxuvanG5HK5vBIoXgmVSsmV8sdOh6vKbQ31FlhRQK/TodPr0FdK8OgqJXs87Tpd\n2WMtOp22ySZ8Lvc8cVnyKcxIpvjiUZKMimfqkq5s+pLGWuD3eCU955A3+WUcDieWsvowpaVWPt/2\nA1c50rDrIt21ZHRR2DSN92GWVqvBZHS/JzAZDRiNQZhMBkzGIDaf3MVfVr2L1eX+u+r+XeI7Hfiz\nYlOL/F3SUGSEjWguZFnvelSeiHn33Xfp0aNHlf3uvfdejh49WmO/gQMHEhISUuX2urhw4QIJCQm4\nXC7uuece3n33XZ8+DoeDTp06kZaWxogRI/jpp5/q5dgQuISNX8VZ7gLGKevh1HrIPlm758X3gV9v\nZewj49lk3nt5x+4+He740qf55td+zT8vfEJbbf1Mr7G2H8WfI64haufr9I0Iw9btajoPnU+IObxe\n9t8aqKpKQUGxVw0ch58EjqIol0bDGIMwm72nLZmMhgYpvtvUWW128vOLK4zGKaK4uPrRKTXRaBQi\nI0IJDwsmLCyEiLBgQkLMaDTVX4g02NQCVcWRfYLjuz7HkLGL9kVn6KIU4zTFcOGujT6j5FYc2kTB\n8id4yJztvRuNDntMLw5rYvjXseOkO3W8EZbaJC9wL1dTm/7QWJpD0qIhLdvxHdN/erLaFd3qMoXD\nk2CpnDBxOHE4XThrSLZUvt+a3rJ6kjd+kj7l97226bVl23UNnvCpy3kyc+g1PPbmPSxkS5V9HYqe\nIm0kxbooispHxOiiKNJGUWhsR1FQfKNMZy6n1WgwliVfTGWJGKPRnZgpT9JU9X/cWn93NgZJ2Ijm\nQqZENYB77723XvrV5wicpUuXeqZgVV5uvJxOp2PevHn8/e9/Z/v27aSmptKuXeWFBluA4Bjod4P7\nBvDOdDhbi+RUcFkhUccVjBzQ+SkqB9gcdgzV1NCpK01JNrdMvwbdqNmY/EwXEzVTFMW9bHV4CIld\n2qGqqifxoNVoPUkZo9HQZD+5DKQgg5642AjiYiM8bQ6Hw7MylTuZU0xhUUmtL5pcLpXsnAKycy59\ncqrRuItNh4aa3RcWWi1arQadTuu5H62LIjunAJ1Og1arLdvmvn9F3ztFQReTRK8Zv/c0nSrIIKQ0\n0+/S3/vOHeEWve+KXIrLgeHiAQYC74VVf8jyaY8rR77CrGb0Jry1TpOZM3gaOqet2ovRLlo7n4af\n4cdhz3N172EUZJ3C6bThcthQnXbiwyJxRnTxeV5GfhbZpzZjLMnE5bITYwqhbVgUissJLrt7GXuX\nE8Vl59D5o1isxeByoLgc9GnTGdfQ+3CZorz2eSY7jW2r/sbI4iNoVBchBgNdo9qC6n5e+f5wOckq\nyKLUWoSCggYNYcYQLGOeoLTTBFSXiktVuUpvI9jUhotocSlaXGhxKjrsGiN2xYhdE4RdY2TAqV2c\nOH+CEgwUOBUcGiNOjRG0ZggKx64YcTidtVolR/hntzvcSYrSy1uZUKfTupM5Og1aDWgUJxqcaBQ7\nwToN5rAYdMGRlZI+OlbvWkbvC2vROEpRnFYGtO2M1mlDcVhRnBYUh4V7CtPQVZOsAffPyS3BpRS6\nVAq0UaTpupcV740qW+Y60vPVog2t4T+j/pI1Go2Cyeh+L2Aq++DGWCERYzIa/NaZq41ATAcWQrR8\nkrBporZu3Qq4kzIjRoyost/YsWP5+9//jqqqbNu2jRtuuKGxQgycwfNrl7DpfyMAD934KOvTtqE6\nrKgOCxOSBqJx2cFhdd+cNnBYSc9OJSX1OBqXHa3LQXxwKJ0TBvrdtUajoVTVUKy6MKCiv8Lrf5c5\nmlBj/RaObu0URSEiPISI8PoZ9dYa6XTuVbeioy5lJZxOF4VF3kmcgoJinLWs8eVyqeTlF5GXX3RZ\nMWk1GrQVEjg63aWEj1Zb1l6W/PEkfLTaKp+jM8diC43H34+wDk21nyDXVvmFSwnw3y1L6L7jb4zR\nFWBFi9EcSUR4PKrOhEtnRNUZUXUmVL2RAxnnKEULehPoTfTu2B+15yzUSjWsLHYrxYVZmPQ6DMZw\ndPq6T59UVRWXS3V/VVVUl4ureo8Hh8IbaxfSQetk5O5/YdOqWJSytw7FF1EyP2C4U8vQkDakuXTc\nM+5GJiWOIC+/yP1/eukfr8cVmsvuK1Xcr9C/7LHifYfUnHQ02cdw2UpxOUrpHBFNEC4Upw3FZUNx\nWFCcVoqKc0lJO4bGaUVx2gjXa+ncbQzFg3/hPkbZ/m42lxDp5/vuQilLYuhoo9dy674/49r3N0LK\nEhsuRYdT0eLUGsm+7mNU1XXp/9Slsun4bqKP/sBQg62sv5bznue69+tU3PdVdOiVKE/7gXQtJftO\n4tRf8PpeFZYWo+iGcT5qiCfBstepc99XtLh07q9OdLjMWlSl0nTOFCBlZ4WGOEh4vpZnTRUcnn+a\nPEVRPMline7S7WJhFvtSjxLksnCNPpNYitG7LGhwYdOYsCkmspQQ1jtjcWpNdIvpSKghBLvDgd3u\nbPSah/6Uj0ryTTmXnQNZ2UC2z1aFBJLN89G7LBhcJaQVlGBwlRDkKsHgKnV/1bbHEFbeVoLBZcGi\nDbmUiCkfKXMqAsvprczsMAffyeX1T1EU9ygYU1ClETHlI2SCMBguLxlTG73aJnLf+JvrXP+rYtLm\nvvE3S7JGCOGlVU+J+vzzz7l48WK97e+WW24hNvbKllcuN3LkSLZt20bnzp05depUlf0OHDhA//79\nAXjxxRd5+umn6+X4TWpKVCWfrv+82kK+0HirRKmqis1hR6eAVnV6JYBwWLHuXkjQhr/VuJ+8iX+k\npPeNDRqrEA1FVVWKikp9ihvXV02hxqAtT+ZUSPi42zTYS3NwFqbSRinBXJJGUOlF9KoVvcuKruyr\nXrWgc1nRqzZA9Vw8l3+1xg0gb8yTLN2zhgGnFtNP7/Da7rnA9ne/QltRzxtxaY24ykZEqKqLzIJc\nSjMO0kXnvHTRrzHgUnSVbhrsLgUnCqpSdvFetn9RBdWFAu5i+ErrmyrZ1CgKXsmVjMIs2pWeJVIt\nKfuZtKBXLWXJhkv3y7eVt2mdFgw6LRfv2YKi8T7/t5zYQ97mf9G15DRDnRmEaapOvhS6NOzQtiFE\nb0DnstEzNoH8a9/CoTXjKEve2B0Odp48SNHOj5hkdGDTmLBqzNg05gpfTdg0Zs82RwOvUtQcKYpy\naSSM0YDRVCEhU/Y4yKBvEiNoZaWxhiFTokRzIVOi6tHNNwduyeeaZGS4l3du27Zttf0qbr9w4UKd\njpGbW/Xyt3l5eXXaV2P5ZNNSHl30dzprOtVcX2DR33Fqg5g/9roGi0dRFIL0FZZ20pu8ti8O6skI\np77med7FJmY1VJBCNDBFUQgNNRMaaqZ92axMVVUpLbWSV1BMQVmB4/yCIqzWKx+x0hCcThdOpwv/\nEygVoD35KmDqDia/nWq27RCxxJPW7n7SLjfQtHwg36dZF9qbc7V5vuRm6kbR1LhyoahaxQRLRsFF\nktQcdwLFZcFQKZni3WbxalPjelMw6y00GsXrgvz3X/+D69M/IFFb96nPLtXok6wB9zSzjtmHmGzM\nhxpydKEaF5PVNDy/ONLTKLAXozWEoNUaCCqb4WwM0ZNZsJ/eDv9FzytzonWP5ClL5mSPeILimP7Y\nHU7/eVosAAEAAElEQVTsdgcOh4PCkhL2HlzLcKNalvgxeZJAnpWQmglFAWOQd+FezwiZssRMUFDz\nmc58uUkXSdYIIfxp1QmbpqyoyD1dwGSq/o+u2XxpaHz5c2qrPPPXXHyyaSmPfvwyAKddBrZd9aZ7\n6e79X0JxprtmTf8b2VZs5PSivwN4+jdk0qbaeGubXJIlHUULoygKZrMRs9lIQptoT7vFaiM/v5iS\nUot7SV2HE6ezQgFSp9Onvfy+0xn4aQZCNHcKKoqioNEoaDQaFI0GjaJBo1HQ2gvRF2egUZ3uGw40\nqtMnqeJMGIwS3QWLJZ/S0hxwlKA4S4gNMhDTaSDE90an07r3X3aR/Y9v/snkC8vQu+zoXXa6Rsag\nd9lQ7BYUR6ln6po/Fp2CVuubPbHYrZi4vN8LahUrL1rsVkzK5f+uURy+ryFIH4RFrf0ILS1OTK4i\nTC73+zq9sYTStjFefUpspXy4fCnPhZ/xeb4LTVkCx4RFH0mRYibPZaBUG4xFE4JijIT4QZSEd8NR\nlgQqHw1UXFqKpqZMVR0Zgwx+C/eWPw4KMtRYjF4IIVorSdg0UU6neypBTavVVFxe2OFoHnPGL0fF\nZA3Aq7c/xbzyJMzQO7z6zgOc2iBP/0AkbapLLtnz0jxLOq4sNnG6rFhnecE5SdqIlswYZMAYZ6i5\nox+qqrqTOU5nWXLH5U7qVLpfUyKoclJIEkFu5RfxiqLgUl3YLPlEKHY0qqPs4r38It6FoqqoZfVl\n3CNQFK/7juB4XKZoQHW3lQ1TOZ91ls4aW9kUIwW1rBDNpa/uv3mqokClbS6dCVdQWT0l1bNLiq0l\nmFzlQxwUFI2mbPrSped79qGqnnbKj6Eo1GpyuOry/B9oVSfojSgGExpFufR/p9G4H2uUCu0az/+r\nZ1tt+ynlSRXF6zjliRDv/hWer6nQVuk41Y1SWLbjO6Yf+VPNo0K7jWJW30G1+E+75LezHwIe8jz2\nO8ZXdeGwFlFcnI3dUojdUoBBdRIf1d7vPqf3GcsBzVmO2QvROKx0j44jXKe7lAByWFDspbjsxeQX\nXMSICyMuDIqKqvP/gZg7YXP546oUh+/qekE6PaWqgl0FCxqcGgMhIVGoWnfdKnRB7vpV2iDOFuSS\naSnFqTHg0hroGJ9ISKTvyAujPojbZ/+OjZYMtIZgdIZgOrVJRNUFXdqv1gCKghFoU4fXoKrqpUSO\n56s7qeOwOzh45jCd0rZg1AZ5RvYYXCUEO3MJceQQ4sylwFbA9n73MXP4Va1y5UUhhKgvkrBpooKD\ng8nLy8NiqX5Z3dLSS+Xk6rqkeE5OTpXb8vLy6Nq1a53211D2nz3ik6ypKflSvr1i0qZfxx7079iz\n4QItU1NyKTPt0mSIWYBDa/BaHQAkaSOEP54CoTot1ONiav4SQf4TPk4cDu/E0PmsVKLzUtBp9O4V\ndBQjCuql5IbqxK66yA/pQHRY1KUL84oX0ZUu2r0uxCt/VTRVPE9BUTTulInqQI8TjcuGxmVF67Sh\ncVrQuqycyUjBZslHtReBvZg+sW2g362o5iivC/mUi2fZ9O0CpliP0EktwEzN9YhK0HJWCSU8NAZj\n3/spTRro0+ejtfuJy9padjFppF+nfuiCQlC1Qag6A6rWffFa5HCSZSlFawjGEBRCkDkcszmqypX7\n6tOyHd8x7acn6aJ1VEhGqVScHHVpaevxDR5PY1m8exUvLn+PDwI5KlTRoDOGEW70Xn6tqo+jZvQd\nC33Heh67qCIRVKao7OawW9BXcU7P6DuO4iALOUf/S1Rpeo0h55jasq/LdWj0Zrq2TUIX5rtaZ992\nSfR+ZBUXtZdqrJRUsb+QsltF/l6/RtEwss8Er7b6qhqmKIpn1ajKFu9exYsb3qSzxlbtefKr/E6c\nTn8Xp0Ev72mEEOIKSMKmiYqMjCQ1NZXsbN8K/hVV3F7XgkZNqZBwdfp37Mmj197Dq9+9V6tkTbmK\nSZtHr72nUZI1l5NckiUdhQisy00ELd69ihe31Hzhcmt+J067DE1iuetuiWP8tlcec5EY15HEn38A\ngO3wF5jXPVPjvm0T/0BY7xtRwc/KNG4/m3QncKfnsb3sVpkBCER5Sf9JC+/RFi1xKuvi3as8f4NO\nuwysHPkKtwSXYjrxHZqS7BY3KlSnN1ZZm6hrbHuIvRtNRAjU4rzXjHiQHhUWDfC3X61Gi9ZPvZzm\nprWdJ0II0RRIwqaJ6tGjBwcPHuTs2bOoqlrlEObTp097PaelemzWL5gxYFydky7zx17XaCNr4PKT\nS7KkoxDNS2u6cPms2Mz0VlA8vTV9Tyuq+LoBnpn5ALMGT6MEfFYvbE2jQlvLeV9bcp4IIURgSMKm\niRo4cCBfffUVxcXFHDp0iL59+/rtt337dq/ntGSXm3RprGRNuctNLs0ZPE1G1gjRDLSmC5cmMU2m\nEbSm72lFyekpPq+7ptfRGkaFtpbzvrbkPBFCiMCRKmBN1KxZlz6vWbp0aZX9lixZAkDHjh0ZMGBA\nQ4claulyk0TyRkaIpu1yL1yemfmA5/GL375JcnpKg8VYX/yNOMmb+Ees7Udhj+qOtf0o8ib+kZUj\nX+G0y11I+sVv32Tx7lWBDLvOWtP3tLJebRO5b/zNQO1ed7mKr7+ljQptLed9Xch5IoQQgaOoaq3W\nRhABMGLECLZv3058fDyHDx/2WYZ7xYoVXHXVVQC88MILPPNMzXOtays3N9dzvJycnGZT76Y5SKtQ\ndFgI0fy8te5T3tnweZ1r0pRfCN43/mbunzivASO8cv5GnFT3Wuvav6lpDd/T6iSnp1zWxfTlPq+p\nam3nfV3JeSICKSEhEJXNhKi7+r6OloRNE7Zx40YmTZqE0+lk5MiR/Pe//yUpKQmA7777jjvuuIOc\nnBw6duzIoUOH6rxKVHUkYdNwJGEjRPPXki9cktNTmL/gMc/j2l6EVr54/eQXf23yr7Wilvw9FTVr\nree9EM2FJGxEc1Hf19EyJaoJGzduHG+88QYajYaffvqJHj160KFDB6Kiopg5cyY5OTnExMTw7bff\n1muyRgghRPUu94KsOVzItdbpDy35eypq1lrPeyGEEE2bjLBpBrZs2cKLL77I6tWrcTgcAERERHDT\nTTfx4osvEh8fX+/HlBE2DUdG2AghmgMZcSJaIznvhWiaZISNaC5kSlQrZrfbSU9PJygoiLi4uCqX\n+q4PkrBpOJKwEUIIIYQQovYkYSOai/q+jpZlvZsRvV5Px44dG+VYLpfLcz8vL69RjtlayP+nEEII\nIYQQtWcymQIdghC1UvFar+I19eWShI3wq6CgwHO/a9euAYxECCGEEEIIIYRoXgoKCoiOjr6ifUjR\nYSGEEEIIIYQQQogmRmrYCL8cDgfnzp0DICwsDI2m5txeXl6eZzTOyZMniYiIaMgQRSsi55ZoKHJu\niYYk55doKHJuiYYi55ZoSK3h/HK5XJ7ZKh06dECnu7JJTTIlSvil0+no0qXLZT8/IiJCChWLBiHn\nlmgocm6JhiTnl2gocm6JhiLnlmhILfn8utJpUBXJlCghhBBCCCGEEEKIJkYSNkIIIYQQQgghhBBN\njCRshBBCCCGEEEIIIZoYSdgIIYQQQgghhBBCNDGSsBFCCCGEEEIIIYRoYiRhI4QQQgghhBBCCNHE\nKKqqqoEOQgghhBBCCCGEEEJcIiNshBBCCCGEEEIIIZoYSdgIIYQQQgghhBBCNDGSsBFCCCGEEEII\nIYRoYiRhI4QQQgghhBBCCNHESMJGCCGEEEIIIYQQoomRhI0QQgghhBBCCCFEEyMJGyGEEEIIIYQQ\nQogmRhI2QgghhBBCCCGEEE2MLtABiKaptLSU4uJiAEJDQwkKCmqQ49hsNqxWKyEhISiK0iDHEE2L\nqqrk5OSgqip6vZ7w8PAGP152drbncXh4OHq9vkGPKQKnoKAAm80GQGRkJFqt9or3abfbyc/Pr1Xf\n+jqmaHpsNhsFBQUAmM1mzGZzgx7P4XBgs9ka/DiiacjJycHlcqHRaIiKirri/TkcDvLy8ur0nODg\nYEwm0xUfWzQtxcXFlJaWAg37HsjhcFBcXIzZbJb3Wa2E0+kkNzcXgKCgIEJDQxvkOKqqUlRU1Gqv\nF2WEjQDgwIEDvPvuu/ziF79gwIABhIaGEhsbS2xsLB999FG9HMNisbB8+XIeffRRhg4dSkxMDEFB\nQYSFhWEymRg2bBgvv/xyrS+MRPOQmZnJ0qVL+f3vf8/UqVOJjIwkJiaG2NhYZsyY0eDH/8c//uE5\nl2NjY1mxYkWDH1M0DrvdzpYtW/jHP/7BrbfeSteuXQkPD/d8r48fP14vx/nxxx+9zqHqbgcOHKiX\nY4rAS0lJ4eOPP+bXv/41I0aM8Pq7+MILLzTIMffv38/9999Px44dCQoKIjg4mNjYWKZNm8Z7773n\nSRiJ5q2goIAVK1bwwgsvMHPmTOLi4oiOjiY2Npbu3bvXyzH27t1b699b5bc33nijXo4tAkdVVXbt\n2sWbb77JXXfdRe/evb1+d9X3e6DDhw/zy1/+kq5du6LX64mIiMBgMNCxY0fuuusudu/eXa/HE4GV\nmprKF198wWOPPcb48eO93nPdfffd9Xosq9XKv/71L0aMGIHBYCAsLAyDwcCgQYN49dVXsdvt9Xq8\npkxG2AgABg0ahNPp9DxuiE+IV69ezaxZs7zazGYzVqsVq9XKzp072blzJ//3f//HN998w7Bhw+o9\nBtH4nnnmGd5++23PY0VR0Gg0uFyuBj/2iRMneOaZZxr8OCIwdu3axZgxY7zatFqt1++y+hYREVHt\n70edTv6sthTXXnstR48e9Txu6JFTzz77LC+//DIOhwMAjUZDWFgY2dnZrF69mtWrV6OqKvfee2+D\nxiEa3jvvvMNjjz3m1Vbfv7v0ej3R0dE19svPz/ecc717966344vAyM7OZujQoV5tDfV3ccGCBTz4\n4INeF87BwcEUFxdz7tw5PvzwQz766CNefvllHn/88Xo/vmh8v/zlL/nuu+88jxvq72JqaiqzZs1i\nz549nrbQ0FCKi4vZu3cve/fu5aOPPmL16tXExMQ0SAxNiYywEQD079+fe+65h7fffps9e/Y0yCgE\ns9nMDTfcwIIFC9i3bx+5ubkUFxdjtVo5duwYjzzyCFqtloyMDGbOnElOTk69xyAaX1xcHLNnz+aP\nf/wjK1euJCcnhy5dujT4cVVV5Z577qGkpIQ+ffo0+PFE4zMYDIwaNYqHHnqIhQsXcuLECZ5//vkG\nPebGjRvJysqq8ta3b98GPb5oPN26dWP+/Pn885//ZOvWrV7Jm/r26KOP8uKLL+JwOLjuuuvYsmUL\nNpuN/Px8SkpKWLduHb/4xS8afAqpaBzh4eFMnz6dp59+mm+++YYLFy4wderUej3GgAEDqv1dlZWV\nxfnz5wkJCQGgbdu2jTLqVTQsjUbD4MGDuf/++3n//fc5ePAg//3vf+v9OHv27OGBBx7AbrcTExPD\nBx98QH5+PkVFRRQWFrJw4UISEhJwuVw88cQTrFmzpt5jEI2vffv23HjjjfzlL39h3bp15Ofn13vZ\njPK/g3v27EFRFJ566ikuXrxIQUEB+fn5vPnmm5hMJvbt28d1113XKB8AB5wqhB9r165VARVQFyxY\n0GjH/dvf/uY57htvvNFoxxWNKzExUQXUESNGNNgxXn/9dRVQe/Xqpb733nue82rZsmUNdkwReC++\n+KLne52cnFwv+1y+fLlnnwcOHKiXfYrm59y5c57z4Iknnqi3/VY8vx555JF6269oXmbMmKECanR0\ndKMdc9GiRQ1yToumpeL3ub7eA/3qV7/y7HP58uV++2zbts3T55ZbbqmX44qmJygoSAXUuXPn1sv+\n3n//fc958+yzz/rt89VXX3n6fPjhh/Vy3KZMRtiIJuXWW2/13D9y5EgAIxHN2ZkzZ3jyySdRFIV3\n3nkHg8EQ6JCEEMKvRx99FHBPR/nzn/8c4GhEa/Lhhx967td3/QnRsqWkpADu0fPTp0/322f48OEk\nJCR49ReiJp999hkAJpPJZ+pouRtuuMEzovn1119vtNgCRRI2okmpOMc2Li4ugJGI5uzee++lqKiI\nX/ziF4wdOzbQ4QghhF8bN27k8OHDAPzmN7+RGkii0aSlpbFq1SoARo8eTY8ePQIckWhOyhMxDoej\n2vo4VqvVq78QNSlfvGHgwIGeKZv+lNcw3LFjB+fPn2+U2AJFEjaiSXn//fcB9xzcmTNnBjga0Rwt\nWLCA1atX06ZNG/m0WjQIl8tFQUFB65g3LRpUxXpxFf/muVwuCgsLAxGSaCU++ugjz4W2jK4RdXXD\nDTcAYLPZWLhwod8+y5YtIzs7G4A5c+Y0WmyieStfDbGmmm0RERGe+y19NTJJ2IiAKCkp8RS9O3Hi\nBKtWrWL+/Pk8//zzKIrCn/70JwYOHBjoMEUzc/78ec/wyX/+859ev8yFqA833ngjQUFBhIeHo9Pp\n6NatGw888ADJycmBDk00Qzt27ACgTZs2tGvXjoULFzJy5EiCgoIICwvDZDIxadIkFi1ahKqqAY5W\ntCTl06HMZjM333xzgKMRzc3MmTN58MEHAXjggQf4/e9/7xnpsGvXLl544QVuu+02wF3u4M477wxk\nuKIZKX/vnpmZWW2/ittb+nswSdiIgPjLX/5CbGwssbGxJCUlMX36dBYuXMh1113H2rVrefLJJwMd\nomiGfvnLX5Kfn88111wjb0BFgzh69CgajQaz2YyqqqSkpPDWW2/Rv39//vrXvwY6PNHMlA/jbt++\nPXfccQfz589n27ZtnnPMYrGwbt06brvtNubMmeOZXiDEldi+fbvnAmfu3LmEhYUFOCLRHL3++uss\nXbqU4cOH89JLLzF8+HA6dOjA0KFDee655+jZsycLFy5k4cKFKIoS6HBFMzFgwAAA9u/fT1ZWlt8+\nqqqydu1az+OWvrKwJGxEQJjNZqKjo4mOjvZaDm79+vV8+eWXlJSUBDA60Rz997//5fvvvyc4OJh/\n//vfgQ5HtCBms5l7772X5cuXk5qaisViobi4mLS0NP75z38SGRmJw+Hg8ccf56233gp0uKIZycvL\nA9xL5H700Uf07t2btWvXUlpaSnFxMfv372fatGkALF26lEceeSSA0YqW4j//+Y/n/s9//vPABSKa\ntdzcXJYtW8bOnTsBdzmDsLAwtFot4K5F8u2335Kenh7IMEUzM2/ePADsdnuVH+C//vrrnDp1yvO4\npU8hloSNCIjHH3/cMyXKYrFw/PhxHn/8cYqKinj99dcZN26cZw6jEDXJyMjg4YcfBuCFF16gU6dO\ngQ1ItCjjx49nwYIFXHXVVSQkJHg+KWzbti2/+c1v2LZtGzExMQA8+eST5ObmBjJc0Qw5nU7i4uJY\nt24dEydORKNxvz3r168f33//PUOHDgXg7bff5uTJk4EMVTRzVquVTz/9FIAuXbowYcKEAEckmqO0\ntDRGjx7Nu+++S3BwMB9//DEFBQXk5+dTVFTE119/TXx8PAsXLmTUqFHye0vU2q233sqoUaMAeO+9\n97jpppvYvHkz6enp7N27l0ceeYSHH36Y4OBgz3NaesF+SdiIJqFbt278+c9/9syp3r17N88//3xg\ngxLNxgMPPEBubi6DBw/moYceCnQ4opVJSkri2WefBSA/P5/vvvsuwBGJ5qLiChj3338/sbGxPn10\nOh1PPfUU4E7sLFu2rNHiEy3P0qVLPUnlu+66S6aqiMvy8MMPc+TIEfR6PatXr2b+/PmeC2ij0cic\nOXNYv349ISEhnDlzhgceeCDAEYvmQqvVsmTJEkaPHg3Al19+ydixY0lISGDQoEH84x//IDIy0ms0\nfWRkZKDCbRSSsBFNym233Ub//v0Bqqw6L0RFO3bsYMmSJSiKwksvvURubq5n9Fb5raioyNO/oKDA\n0y5FPEV9qbjCz759+wIYiWhO4uPjPffLlyj1p+K28mXAhbgc5dOhFEWRQrDishQWFvL1118D7r99\n/fr189uvc+fO3H777QCsXLlSpkaJWouLi2Pjxo0sWrSIOXPmkJSUREJCAoMHD+bJJ5/k0KFDtG/f\n3tO/c+fOgQu2EbTs8UOiWRo0aBD79+/nwoULlJaWYjKZAh2SaMKKi4sBdwGyq666qsb+8+fP99xP\nT0+nTZs2DRabaD3Kp0SBe5SNELXRu3dvNm7cCFS/hGnFbS19rr5oOBkZGaxcuRKAKVOmyPRhcVlS\nUlI8S8KXf8halfICsgDHjh2jbdu2DRqbaDk0Gg3z5s3z1LSp7IMPPvDcHzFiRGOFFRCSsBFNjsVi\nAdxD4ioWJBbCH71eT3R0dLV9rFarZ5RNWFgYer0ewFMnQogrVb7aD1Dj+ShEuZEjR/L2228D1S9h\nWnFbVFRUg8clWqaPPvrIc6F99913Bzga0VxVrBdSfj5VxeFw+H2eEFeqfJRXt27d6NWrV4CjaVhy\ntSKaFLvd7vm0sVevXnJBLWo0ZswYnylQlW9vvvmmp/8nn3ziaY+Liwtg5KIl+eKLLzz3hw8fHsBI\nRHMye/Zsz0XMjz/+WGW/ituGDRvW4HGJlqm8TmB4eDhz5swJcDSiuerUqZNnJaiffvqp2r5btmzx\n3O/SpUuDxiVajzVr1rBjxw4AfvWrX7X4WlxyNSzqhaqqnovgqlZ3crlcNe7niSeeIC0tDcAz71WI\nwsJCz/lVm/NIiNqy2+2ec6u0tNRne23qHG3cuJFXXnkFgISEBGbMmFHvcYrmKScnh6ysrCpXDouK\nivKMdFiwYAFHjhzx6ZOXl8eLL74IuC+0r7vuuoYLWDQbJSUlnt9ddru9xv47duzg0KFDgHvZXJlu\nLqridDr91gAsFxoaysSJEwF3Mrl8ml1l27dv58svvwRg6NChJCQkNFjMovnIz8/3nF9Vqe69/qlT\np7jrrrsA6Nu3Lw8++GB9h9jkyNg0AUBRUZFnKhJ412AoKiry+qEyGAyEhYV5PT8/P9+zusWMGTP4\n4YcffI4xYMAA+vfvz9VXX02nTp1o06YNoaGh5ObmsnPnTt555x02bdoEwJAhQzzLNIvmzeFwkJeX\n59VW/ovY4XD4/MKOioryGVl1991389VXXwFw7tw5r0JjonXLy8vzGnJdUlLita3i+WU2mzGbzV7P\nX7FiBbNmzQLgxRdf5Omnn/banpqayqhRo5g9ezaTJ0+mXbt2tGnTBp1OR0pKCl9++SVvv/02drsd\nrVbLW2+95XMM0TyVlpZ6amQBXkmX0tJSr3NLq9X6XaWie/fuZGdnk5iYyIkTJ/we549//CPLly/n\n/PnzTJgwgRdeeIFp06ah1+vZtm0bzz77rGdJ3L/97W9ERETU0ysUgaKqKtnZ2V5t5UmX8g/AKgoP\nD/dM5S33wgsv8Oc//xmAtWvXei6gq1I+ugZkOlRLV1BQgM1m8zyuWPeqfOGFckaj0Wu1OoDjx497\nppjceeednkLVFb300kuMGzcOm83G7Nmzeeyxx5g7dy5t2rQhKyuLZcuW8dJLL3n+NpZ/qCGaN5vN\nVuUH8zabzed3V8X6fuVmzJjBtm3bgKo/FLvtttswGAzMmTOHxMREYmJiyMjI4Ntvv+Xvf/+757rz\n008/xWAwXOGragZUIVRVveeee1SgVrcpU6b4PD83N9ezfcaMGX6P0bFjx1rtf+7cuWpOTk5Dv2TR\nSLZu3VrrcwtQT5065bOPuXPnerafO3euzjF89NFHnucvW7asHl6VaCp69OhR63Prueee83n+smXL\nPNtffPFFn+2pqam12ndsbKz6zTffNMIrFo3l5ZdfrvW51alTJ7/7iI6OVgE1MTGx2mMdOnRITUpK\nqnL/Op1O/cc//lH/L1IERGZmZp3+Lq5atcpnH0888YRn+9q1a6s9ntVqVaOiolRA7d27dwO9KtFU\nXHvttbU+t+bPn+/z/OTkZM/2O++8s8rjfPPNN2pkZGS1+w8JCVEXLVrUgK9WNKYvvviiTr+77Ha7\nzz5GjBjh2V6V2bNnV7vfQYMGqYcOHWrIl9qkyAgbAbiHN9a2UKa/lSw0Go3n+VWtdHHw4EHWrFnD\nypUrOXLkCOnp6eTm5hIcHEzHjh0ZNmwY8+bNY9CgQZf/QkSTU5uiwBWVz4uuKCwszLMPf9trYjQa\nPc9vFZn4ViQyMrLW55e/kS8Gg8HzfH/bExISSEtL44cffuDHH3/k9OnTpKWlYbVaiYyMpE+fPkyb\nNo1bb72V4ODgK3sxokkxm821PreqKgRc/vyaCgX37t2bffv28f7777NkyRJOnjyJ1Wqlbdu2TJgw\ngQceeIDExMS6vQDRZFV8z1Qb/v5uBQcHe/ZRefRNZT/++COKohAdHc19991Xt2BFsxMeHl7r8ys0\nNNSnTafTeZ7vb3u5WbNmcfz4cT744ANWr15NSkoKhYWFBAcHk5iYyKRJk/j5z39OfHz85b0Q0eQE\nBQXV6XeXv9oyERERNe5j0aJFLF26lCVLlnD8+HEuXLhAVFQUvXv3Zu7cucydO/eyrgeaK0VVazFB\nXwghhBBCCCGEEEI0Gik6LIQQQgghhBBCCNHESMJGCCGEEEIIIYQQoomRhI0QQgghhBBCCCFEEyMJ\nGyGEEEIIIYQQQogmRhI2QgghhBBCCCGEEE2MJGyEEEIIIYQQQgghmhhJ2AghhBBCCCGEEEI0MZKw\nEUIIIYQQQgghhGhiJGEjhBBCCCGEEEII0cRIwkYIIYQQQgghhBCiiZGEjRBCCCGEEEIIIUQTIwkb\nIYQQQgghhBBCiCZGEjZCCCGEEEIIIYQQTYwkbIQQQgghhBBCCCGaGEnYCCGEEEIIIYQQQjQxkrAR\nQgghhBBCCCGEaGIkYSOEEEIIUcmTTz6Joii0b98+0KE0KXfddReKojBw4MBGO+bp06cxGo2EhISQ\nmZnZaMdtCDfeeCOKovDnP/850KEIIYRoBiRhI4QQQrRwH330EYqioCgKn3/+ebV9b7/9dk/fX/3q\nV9X2fffddz19ly5dWp8hC+HxxBNPYLVa+fWvf01sbGygw7kif/jDH9BoNLz00ktcvHgx0OEIIYRo\n4iRhI4QQQrRwEydO9Nxfv359tX03bNhQ576KojBu3LjLD1AE1P/8z/+gKArdunULdCg+tmzZwuef\nf05oaCj/+7//G+hwrlifPn246aabKCgo4Nlnnw10OEIIIZo4SdgIIYQQLVyHDh3o0qUL4J2QqezU\nqVOcO3cOnU6HVqvl8OHD1U5BKd9Xv379iIqKqt+ghQBeeOEFAO644w6io6MDHE39ePjhhwH3CLXz\n588HNhghhBBNmiRshBBCiFZgwoQJABw6dIjs7Gy/fcpH1AwaNMhTo6SqBM/Zs2c5c+aM176FqE8p\nKSmsXLkSgJ/97GcBjqb+jBw5kqSkJJxOJwsWLAh0OEIIIZowSdgIIYQQrUB5UkVVVTZu3Oi3T3ly\nZvz48YwfP96rrbKK06UkYSMawltvvYWqqiQlJTFixIhAh1Ovbr/9dgAWLFiAw+EIcDRCCCGaKknY\nCCGEEK1AxaRKVbVpytvHjx/vqUlTU19FUTzJHQC73c66det47LHHGD16NJ06dSIoKIjIyEiGDBnC\n73//+yqLraampqLValEUhZdeeqnG1zRv3jwURaFdu3a4XC6f7Q6Hg/fff59rrrmGtm3bYjAYiIqK\nYty4cbz22muUlpbWeIyaXMkxKq+4lJ2dzVNPPUVSUhJGo5H4+HhuvPFG9uzZU2Mce/fu5bbbbiMh\nIQGj0UjXrl158MEHOXfuHAADBw5EURTuvfdez3M+/vhjFEXhjTfeANwjWsqLSJffaqprcyUx1+Sz\nzz4D4Nprr62238iRI1EUxZMEqUrPnj1RFIX/+Z//8dlW+XuRlpbGQw89RNeuXTGZTHTv3p3f/e53\nFBQUeD1v2bJlTJ06lbi4OIKDgxk+fDgff/xxja/tmmuuASA9Pb3aaYpCCCFaOVUIIYQQrULHjh1V\nQB08eLDPtvPnz6uAqiiKmp2drV68eFEFVI1Go+bk5Pj0T0pKUgG1T58+Xu0ffPCBClR7i46OVjdv\n3uw3xmnTpqmA2rNnz2pfS35+vmoymVRAfeyxx3y2p6SkqH369Kk2jh49eqgpKSl+9//EE0+ogNqu\nXbsqY7jSY9x5550q/8/efUdHVfxtAH+2ZFt677SE3iFIL6JIF7DQRFERFLuCimJHxYa98BN9FVAp\nolhApEmR3nuAkEIS0nuyvdz3j7CXhGySTUhbeD7n5GSzd+7cuUuA7JOZ7wBC165dhfj4eCEqKsph\nHwqFQvjnn38qHcd3330nyGQyh+cGBwcLx48fF7p27SoAEGbMmCGet3z58mr/rKKiouplzNVJSEgQ\n+1qxYkWVbXv37i0AEO65554q27Vt21YAIDz22GMVjpW9rzNnzghhYWEO76t3796CVqsVBEEQ5s6d\nW+nr9uabb1Y5FpPJJH7/vvLKK9W8GkREdKPiDBsiIqIbhH2WzbFjx1BYWFjumH3GTKdOneDn54fA\nwEC0a9cONpsNu3btKtc2IyMDcXFx5fq0UygUGDFiBJYsWYLDhw8jPT0der0eZ8+exaeffoqAgADk\n5ubizjvvRH5+foUx3nfffQCAs2fP4sCBA5Xey+rVq8XZK/Zz7LKzszF48GCcPn0agYGB+OKLL5CU\nlASTyYTMzEwsWbIE/v7+OHfuHMaMGQOdTlfta3e1uryGyWTC3XffDS8vL2zYsAFFRUUoKSnB6tWr\n4efnB5PJhAceeAAGg6HCubt378bMmTNhtVoRFRWFtWvXorCwECUlJdi4cSNCQkIwZcoUmEymCudO\nmzYNgiDgscceAwBERUVBEIRyHxcuXKjzMTuj7MyuPn361KqP2jCZTJg0aRJatGiBHTt2QKfTITs7\nG2+//TYkEgn279+P999/H//3f/+HTz75BK+99hqSkpJgNBpx5MgR9OrVC0BpseSzZ89Weh03NzfE\nxMQAALZv394Qt0ZERK6oUeMiIiIiajDffvutOANg/fr15Y7NmjWrwuyDmTNnCgCEOXPmlGu7cuVK\nsZ9Vq1bVaAwJCQmCp6enAEB4//33KxzXarXi8ccff7zSfgYOHFjpbKFp06aJs0uSkpIcnn/y5ElB\npVIJAIRFixZVOF7dDJu6uIZ9VgcAoVu3buLMjbLWrl1b5WsdExMjABCCgoKE9PT0CscLCgrE2VC4\naoaN3WOPPeZwNo0jdTFmZ8yZM0cAIMhkMsFms1XZti5n2AAQevXqJej1+gptHnjgAXGGmK+vr/Dd\nd99VaHPp0iVBqVQKAIR58+ZVOR57f76+vlW2IyKiGxdn2BAREd0gqqpjU7Z+jV1ldWzKfl22vTNa\ntmwp1hr5+++/KxzXaDS46667AAArV66E2Wyu0CYpKUmc9TN9+vRyx9LT07Fy5UoAwOuvv47mzZs7\nHEenTp3EnYdWrFhRo3uoj2t88MEH0Gg0FZ6//fbbERgYCKB0Nk1Zp06dwqFDhwAA8+bNQ0hISIXz\nvb29xa2x61ptxuws+3byfn5+kEgktR9kLbz33ntQqVQVnp8yZQqA0ro9zZo1w4MPPlihTVhYmPj3\nbM+ePVVex8/PDwBQUFDAwsNEROQQAxsiIqIbRHR0NMLDwwGU3/0pMzMT586dA+A4sDl69CiKi4vF\n5+3ntmvXzmFIUJ327dsDKA0cHLEvccrJyXEY6ixbtgyCIEAul4tvou3+/fdf8c3v7bffXuU4+vXr\nB6D0/hwVLa5MXV/D3d0dN998s8NjUqkUHTp0AACxgLBd2aVq48aNq3QMt99+O2QyWZXjrKnajtlZ\nZQObhuTh4VHprmft2rUTH9uLBlfVLjk5ucpr+fv7Ayjduc1+v0RERGUxsCEiIrqB2N+MHj58GFqt\nFsCVAKZ169blApgWLVogIiICVqtVnCmRm5uLM2fOlOvragUFBVi0aBGGDRuG8PBwqNXqcjsPPfnk\nkwDgsIaNvd8WLVoAAJYvX17huH0XnpEjR4ozOezK1g1p1qwZ5HI55HI5ZDIZZDIZpFIppFIpJBIJ\nHnjgAQCA1WpFQUFBJa9YRXV9jcjIyCoDFW9vbwBASUlJueeTkpIAlNYNatWqVaXnazQaREREOHNr\nTqvtmJ1ln1UjCEKtzq+tiIgISKWOfzz28PAQH1c2q6psO/vfr8qUvbeGnkVERESugYENERHRDcQe\nspjNZuzduxeA4+VQdlcvi9q5c6f4RtNRYLNv3z60bt0ac+fOxZYtW5CWllZp4Vmr1epwKYhEIhGX\nEq1bt65csLNnzx6x4PHVy6EAlAtFrFar+GGz2WCz2cRiuldzVJS3MnV9DaVSWeX17G/mr56hYw9D\nHC1LulrZsKEu1HbMzrIHcXl5ebU6v7aquq+yoYoz7aq7d/u9SSQSBAQE1GSYRER0g2BgQ0REdANx\nVMemJoFN2fo1Vwc2er0ed955J3JychAYGIhFixbhyJEjyM3NhclkEoOML774otpx2pdFGY1GrFq1\nSnx+2bJlAABfX1+MGTOmwnmenp4AALlcDrPZXGHXo8o+arK0qyGu4Qx7COPMLle1nenSWIKCggCU\nzsKqbpaNfUZMde1qu2NVfcnNzQUA+Pj4QC6XN/JoiIioKWJgQ0REdANp27atGBzs3LkTeXl5OH36\nNICqA5tDhw5Bp9OJy6eio6MRFhZWru3mzZuRlpYGAFi7di2effZZdO/eHX5+fnBzcxPb2dtUJTo6\nWqz/Yl8WZTQasXr1agDA5MmTHc5yiIqKAgBYLBacOHGi2uvURkNcwxn2ZWMmkwkJCQmVttPpdEhN\nTW2gUdWNTp06ASidwWRf+lUZd3d3AEBRUVGlbYxGI9LT0+tsfHXBvmV6586dG3kkRETUVDGwISIi\nusHYg5n9+/dj06ZNEAQBkZGRYgBQVseOHeHn5wez2Yx//vkHx48fBwAMGTKkQtuLFy8CKF3i0adP\nn0qvv27dOqfGaV/ytGfPHly4cAF//fWXuDzKPgPnasOGDRNnXHz//fdOXaemGuIazhgwYID4+M8/\n/6y03V9//QWr1VrpcXuYVlWbhlb2+2v//v1Vtm3WrBkAiMGjI5s2barRsrf6ZrFYcPjwYQCV14Ii\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SpUtITk7GoUOHKoQhU6dORUxMDNavXy8ui5oyZYrDbb1rswTw/PnzmDBhQrmArGvXrujf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          }
        }
      ],
      "source": [
        "# Forward and backward power amplitude coefficients using broadband source\n",
        "mode_amps_jct_bb = sim_data_jct_bb[\"mode\"]\n",
        "coeffs_f_jct_bb = mode_amps_jct_bb.amps.sel(direction=\"+\")\n",
        "coeffs_b_jct_bb = mode_amps_jct_bb.amps.sel(direction=\"-\")\n",
        "\n",
        "# Forward and backward power amplitude coefficients using single frequency source and without normalization\n",
        "coeffs_f_jct_nonorm = mode_amps_jct.amps.sel(direction=\"+\")\n",
        "coeffs_b_jct_nonorm = mode_amps_jct.amps.sel(direction=\"-\")\n",
        "\n",
        "fig, ax = plt.subplots(3, 1, figsize=(6, 7), tight_layout=True)\n",
        "for mode_index in range(3):\n",
        "    ax[mode_index].plot(lambdas, np.abs(coeffs_f_jct_nonorm.sel(mode_index=mode_index)) ** 2, \"x:\")\n",
        "    ax[mode_index].plot(lambdas, np.abs(coeffs_f_jct.sel(mode_index=mode_index)) ** 2, \".--\")\n",
        "    ax[mode_index].plot(lambdas, np.abs(coeffs_f_jct_bb.sel(mode_index=mode_index)) ** 2)\n",
        "    ax[mode_index].set_xlabel(\"Wavelength (um)\")\n",
        "    ax[mode_index].set_xlim([lambdas[-1], lambdas[0]])\n",
        "    ax[mode_index].set_ylabel(\"Power in mode (W)\")\n",
        "    ax[mode_index].set_title(f\"Mode {mode_index}, direction='+'\")\n",
        "    ax[mode_index].axvspan(\n",
        "        td.C_0 / (freq0 + 1.5 * fwidth),\n",
        "        td.C_0 / (freq0 - 1.5 * fwidth),\n",
        "        facecolor=\"k\",\n",
        "        alpha=0.1,\n",
        "    )\n",
        "    ax[mode_index].legend([\"Single freq\", \"Single freq + norm\", \"Broadband\", \"+/- 1.5 * fwidth\"])\n",
        "plt.show()"
      ],
      "id": "d5ab6363"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}