{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Band structure calculation of a photonic crystal slab\n",
        "\n",
        "In this notebook, we simulate a photonic crystal slab consisting of a\n",
        "square lattice of air holes in a dielectric slab. Our goal is to compute\n",
        "the band structure of this photonic crystal slab, as found in:\n",
        "\n",
        "> Shanhui Fan and J. D. Joannopoulos, “Analysis of guided resonances in\n",
        "> photonic crystal slabs,” Phys. Rev. B 65, 235112 (2002).\n",
        "\n",
        "To this end, we excite the structure with several `PointDipole` sources,\n",
        "and we measure the response with several `FieldTimeMonitor` monitors. We\n",
        "excite modes with a fixed Bloch wavevector by using Bloch boundary\n",
        "conditions. We then use the `ResonanceFinder` to find the resonant\n",
        "frequencies. By sweeping the Bloch wavevector, we obtain the full band\n",
        "structure of the photonic crystal slab.\n",
        "\n",
        "See also the api reference for `ResonanceFinder`\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.resonance.ResonanceFinder.html).\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": "a167db38-744f-490b-b8c9-0b49072720ed"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# standard python imports\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import xarray as xr\n",
        "from tidy3d import web\n",
        "from tidy3d.plugins.resonance import ResonanceFinder"
      ],
      "id": "40bf45c3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We will randomly position our sources and monitors. Here, we seed the\n",
        "random number generator to guarantee reproducible results."
      ],
      "id": "1ded5756-1ba5-42c9-bde5-6f2ff312f77b"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "rng = np.random.default_rng(12345)"
      ],
      "id": "47fb91bc"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we define the parameters for the simulation, structure, sources, and\n",
        "monitors.\n",
        "\n",
        "We take the dipole polarization to be `Hz` and the symmetry to be\n",
        "`(0,0,1)` in order to excite only modes which are even with respect to\n",
        "the xy mirror plane."
      ],
      "id": "dcb4d4a4-2ca0-4e8f-b579-130c7ba7d722"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Total runtime = 6.74 ps"
          ]
        }
      ],
      "source": [
        "# Simulation parameters\n",
        "runtime_fwidth = 200.0  # in units of 1/frequency bandwidth of the source\n",
        "t_start_fwidth = (\n",
        "    5.0  # time to start monitoring after source has decayed, units of 1/frequency bandwidth\n",
        ")\n",
        "dPML = 1.0  # space between PhC slabs and PML, in unit of longest wavelength of interest\n",
        "\n",
        "# Structure parameters (um)\n",
        "a_lattice = 1  # lattice constant \"a\"\n",
        "r_hole = 0.2 * a_lattice  # radius of the air holes\n",
        "t_slab = 0.5 * a_lattice  # slab thickness\n",
        "ep_slab = 12  # dielectric constant of the slab\n",
        "ep_hole = 1  # dielectric constant of the holes\n",
        "\n",
        "# Frequency range of interest (Hz)\n",
        "freq_range_unitless = np.array((0.1, 0.43))  # in units of c/a\n",
        "freq_scale = td.constants.C_0 / a_lattice  # frequency scale determined by the lattice constant\n",
        "freq_range = freq_range_unitless * freq_scale\n",
        "lambda_range = (td.constants.C_0 / freq_range[1], td.constants.C_0 / freq_range[0])\n",
        "\n",
        "# Gaussian pulse parameters\n",
        "freq0 = np.sum(freq_range) / 2  # central frequency\n",
        "freqw = 0.3 * (freq_range[1] - freq_range[0])  # pulse width\n",
        "\n",
        "# Runtime\n",
        "run_time = runtime_fwidth / freqw\n",
        "print(f\"Total runtime = {(run_time * 1e12):.2f} ps\")\n",
        "t_start = t_start_fwidth / freqw\n",
        "\n",
        "# Simulation size\n",
        "spacing = dPML * lambda_range[-1]  # space between PhC slabs and PML\n",
        "sim_size = Lx, Ly, Lz = (a_lattice, a_lattice, 2 * spacing + t_slab)\n",
        "\n",
        "# Number of k values to sample, per edge of the irreducible Brillouin zone\n",
        "Nk = 4\n",
        "\n",
        "# Number of dipoles and monitors\n",
        "num_dipoles = 7\n",
        "num_monitors = 2\n",
        "\n",
        "# Dipole polarization and symmetry\n",
        "polarization = \"Hz\"\n",
        "symmetry = (0, 0, 1)"
      ],
      "id": "1fd348d7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We define the materials and structures in terms of the above parameters.\n",
        "We take the photonic crystal slab to be lying in the xy plane. Because\n",
        "the photonic crystal slab is periodic in the x and y directions, we only\n",
        "need to simulate a single unit cell, containing the dielectric slab and\n",
        "a single air hole."
      ],
      "id": "6fdc58bc-8427-47b2-869c-216b1c303260"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "mat_slab = td.Medium(permittivity=ep_slab, name=\"mat_slab\")\n",
        "mat_hole = td.Medium(permittivity=ep_hole, name=\"mat_hole\")\n",
        "\n",
        "slab = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=(0, 0, 0),\n",
        "        size=(td.inf, td.inf, t_slab),\n",
        "    ),\n",
        "    medium=mat_slab,\n",
        "    name=\"slab\",\n",
        ")\n",
        "\n",
        "hole = td.Structure(\n",
        "    geometry=td.Cylinder(\n",
        "        center=(0, 0, 0),\n",
        "        axis=2,\n",
        "        radius=r_hole,\n",
        "        length=t_slab,\n",
        "    ),\n",
        "    medium=mat_hole,\n",
        "    name=\"hole\",\n",
        ")\n",
        "\n",
        "structures = [slab, hole]"
      ],
      "id": "b8f6c4c1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We will excite the photonic crystal slab with several `PointDipole`\n",
        "sources. Each dipole will have a random position and phase."
      ],
      "id": "513c422d-0ba0-4db7-9dbd-f70b4ab9045f"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "dipole_positions = rng.uniform([-Lx / 2, -Ly / 2, 0], [Lx / 2, Ly / 2, 0], [num_dipoles, 3])\n",
        "\n",
        "dipole_phases = rng.uniform(0, 2 * np.pi, num_dipoles)\n",
        "\n",
        "pulses = []\n",
        "dipoles = []\n",
        "for i in range(num_dipoles):\n",
        "    pulse = td.GaussianPulse(freq0=freq0, fwidth=freqw, phase=dipole_phases[i])\n",
        "    pulses.append(pulse)\n",
        "    dipoles.append(\n",
        "        td.PointDipole(\n",
        "            source_time=pulse,\n",
        "            center=tuple(dipole_positions[i]),\n",
        "            polarization=polarization,\n",
        "            name=\"dipole_\" + str(i),\n",
        "        )\n",
        "    )"
      ],
      "id": "0898bdb1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We create `FieldTimeMonitors` to record the field as a function of time\n",
        "at several random locations within the photonic crystal slab. Crucially,\n",
        "we start the monitors after the source pulse has decayed."
      ],
      "id": "21827130-9a2c-4a34-819c-16bb2ab875c5"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "monitor_positions = rng.uniform([-Lx / 2, -Ly / 2, 0], [Lx / 2, Ly / 2, 0], [num_monitors, 3])\n",
        "\n",
        "monitors_time = []\n",
        "for i in range(num_monitors):\n",
        "    monitors_time.append(\n",
        "        td.FieldTimeMonitor(\n",
        "            fields=[\"Hz\"],\n",
        "            center=tuple(monitor_positions[i]),\n",
        "            size=(0, 0, 0),\n",
        "            start=t_start,\n",
        "            name=\"monitor_time_\" + str(i),\n",
        "        )\n",
        "    )"
      ],
      "id": "0b7c719a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We will perform `3*Nk` different simulations, each with different Bloch\n",
        "boundary conditions, as we sweep the Bloch wavevector over the boundary\n",
        "of the irreducible Brillouin zone. We sweep over three lines, namely\n",
        "$\\Gamma X$, $XM$, and $M\\Gamma$. We use a PML in the z direction.\n",
        "\n",
        "Here, we simply define all of the boundary conditions we will use and\n",
        "put them into a single array."
      ],
      "id": "505e9408-fdd6-4bc8-961e-5901ed2190f8"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "bspecs_gammax = []\n",
        "bspecs_xm = []\n",
        "bspecs_mgamma = []\n",
        "for i in range(Nk):\n",
        "    bspecs_gammax.append(\n",
        "        td.BoundarySpec(\n",
        "            x=td.Boundary.bloch((1 / 2) * i / Nk),\n",
        "            y=td.Boundary.periodic(),\n",
        "            z=td.Boundary.pml(),\n",
        "        )\n",
        "    )\n",
        "    bspecs_xm.append(\n",
        "        td.BoundarySpec(\n",
        "            x=td.Boundary.bloch(1 / 2),\n",
        "            y=td.Boundary.bloch((1 / 2) * i / Nk),\n",
        "            z=td.Boundary.pml(),\n",
        "        )\n",
        "    )\n",
        "    bspecs_mgamma.append(\n",
        "        td.BoundarySpec(\n",
        "            x=td.Boundary.bloch((1 / 2) * (1 - i / Nk)),\n",
        "            y=td.Boundary.bloch((1 / 2) * (1 - i / Nk)),\n",
        "            z=td.Boundary.pml(),\n",
        "        )\n",
        "    )\n",
        "bspecs = bspecs_gammax + bspecs_xm + bspecs_mgamma"
      ],
      "id": "30afa56b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we define the simulations we want to run."
      ],
      "id": "6d05f366-85b4-4b83-a6bf-718338d23699"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "sims = {}\n",
        "for i in range(3 * Nk):\n",
        "    sims[f\"sim_{i}\"] = td.Simulation(\n",
        "        center=(0, 0, 0),\n",
        "        size=sim_size,\n",
        "        grid_spec=td.GridSpec.auto(),\n",
        "        structures=structures,\n",
        "        sources=dipoles,\n",
        "        monitors=monitors_time,\n",
        "        run_time=run_time,\n",
        "        shutoff=0,\n",
        "        boundary_spec=bspecs[i],\n",
        "        normalize_index=None,\n",
        "        symmetry=symmetry,\n",
        "    )"
      ],
      "id": "5795fcd1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s check that the structure and source look correct. The source\n",
        "spectrum must fill the entire frequency range of interest."
      ],
      "id": "090ae939-9ce2-4014-bece-979811389723"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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AAADPocgOAG4QWlSk9scz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\nU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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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69ZM8ZaTra6Gr3xEgLa+j68+IZVXm8+q3336rV1/wEFHNYsKeiKrtp59+wqBB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\nAACAj5k9e7Z++OEH29wrr7yi2NhYQxUBgP+pU6eO3n77bdvc6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TjwlTqJtysllAv+FwdB0TPXv2xOrVqwEAubm5+PHHHyscX02j7zkQ+Hubl9zehsiDtHvvvfcQ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\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, 2, tight_layout=True, figsize=(10, 4))\n",
        "sims[\"sim_0\"].plot(z=0.0, ax=ax[0])\n",
        "sims[\"sim_0\"].plot(x=0, freq=freq0, ax=ax[1])\n",
        "plt.show()\n",
        "\n",
        "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(8, 4))\n",
        "plot_time = 5 / freqw\n",
        "ax1 = (\n",
        "    sims[\"sim_0\"]\n",
        "    .sources[0]\n",
        "    .source_time.plot(times=np.linspace(0, plot_time, 1001), val=\"abs\", ax=ax1)\n",
        ")\n",
        "ax1.set_xlim(0, plot_time)\n",
        "ax2 = (\n",
        "    sims[\"sim_0\"]\n",
        "    .sources[0]\n",
        "    .source_time.plot_spectrum(\n",
        "        times=np.linspace(0, sims[\"sim_0\"].run_time, 10001), val=\"abs\", ax=ax2\n",
        "    )\n",
        ")\n",
        "ax2.hlines(1.5e-15, freq_range[0], freq_range[1], linewidth=10, color=\"g\", alpha=0.4)\n",
        "ax2.legend((\"source spectrum\", \"measurement\"))\n",
        "plt.show()"
      ],
      "id": "9779a448"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we run the simulations as a `Batch`.\n",
        "\n",
        "We set `verbose=True` to keep track of the status of the jobs in the\n",
        "`Batch`."
      ],
      "id": "e0303ac4-de67-44a8-a091-1bd1a8a21e0a"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"65eba4ca8a1b499892b607737f723aea\",\"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\">02:48:44 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span> tasks.                      \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\">02:48:55 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.300</span> for the whole batch.                \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>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c9d155fdb1d74c1cab60d56e84c5194b\",\"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\">02:49:00 UTC </span>Batch complete.                                                    \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>"
            ]
          }
        }
      ],
      "source": [
        "# initialize a batch and run them all\n",
        "batch = td.web.Batch(simulations=sims, verbose=True)\n",
        "\n",
        "# run the batch and store all of the data in the `data/` dir.\n",
        "batch_data = batch.run(path_dir=\"data\")"
      ],
      "id": "57c6c70d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now that the simulations are complete, we can analyze the data. Let’s\n",
        "first look at one of the FieldTimeMonitors to make sure the source has\n",
        "decayed."
      ],
      "id": "43a1070c-af2d-4104-aca8-bf59dd16c0d2"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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/Mz1dEgAAAADAgwjUTHD77bfbHjuaiXXgwAGlpqbmucbT48yZM8c2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\n2FnHM9jMtPfU4UL30Xn0J4av2RV2QDtO/OvymL+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fr2wB6ZTWbd2muyQgKC8uzHZDKpSkJytvcNKtRwqDYAKKoI1AAX4id+AAAAniciOEy96rbXk5+u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\nAAAAsAqBGoAcWD1XME//GnniB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          }
        }
      ],
      "source": [
        "plt.plot(\n",
        "    batch_data[\"sim_1\"].monitor_data[\"monitor_time_0\"].Hz.t,\n",
        "    np.real(batch_data[\"sim_1\"].monitor_data[\"monitor_time_0\"].Hz.squeeze()),\n",
        ")\n",
        "plt.title(\"FieldTimeMonitor data\")\n",
        "plt.xlabel(\"t\")\n",
        "plt.ylabel(\"Hz\")\n",
        "plt.show()"
      ],
      "id": "b06a7014"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We see that the source has mostly decayed by the time we switch on the\n",
        "monitors, and the remaining data shows decay and oscillation due to the\n",
        "resonances inside the system.\n",
        "\n",
        "Looking at the Fourier transform of this data, we can see resonances at\n",
        "the band frequencies."
      ],
      "id": "9bf9960b-34f7-4159-986c-aaf6bac63bff"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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HkEoV/nu5KR555JGsIGDlypWJY++4446Msf369Wtw/kJ/3dZV+2tgzZ9HH320\n0ecX871f29bWUj/jU6lU6tVXX00NGjSowev269cvNX78+Ea/r8IoYG0ljAKgySZOnJi69tprU6ed\ndlpqhx12SHXt2jXxf5rLy8tT2267bepnP/tZvb9oplLZ//O8fPny1IUXXpjaYIMNMuYcMGBA6pxz\nzslZEZVkwoQJqRNPPDE1ePDgrDUOHjw49fWvfz311FNPNXq+sWPHpr761a+mqxTW/CkrK0sNGTIk\nddppp6Uee+yxnOcvWrQoddZZZ6XWW2+9Rv2iks8vFi+++GLqy1/+ckYoVVZWltp9991TY8aMSaVS\nqVYTRqVSqz83O++8c1YV3eabb576zW9+k1qxYkUqlUo1+pf6pn6uGmvhwoWpq666KrXzzjtnBYZd\nu3ZNHXjggakHHnig3jlaKoxKpVZXchx99NGpLl26ZKx92223TV133XWpVCozmPnRj37U7I+htkJ/\nLzfG0qVLMz5H++23X86xs2bNyljT6NGjG3WNQn/d1nbhhRdmzDlw4MBUdXV1o89foxjv/dq6tlL/\njF9j8eLFqYsvvji1xRZbZJ3zhS98IXXBBRekFi5c2OD6hVHA50FZKpXH7SIA4P+sXLky5s2bF/Pn\nz4+ysrLo2rVrDBgwIN0UtiEbb7xxuuHx8uXLM5oDz507Nz777LPo3r17DBgwINq0aX7Lw/nz58ec\nOXOiuro6+vbtG7179272XNXV1fHZZ5/F/Pnzo3v37tGvX79o3759k+aYPXt2zJkzJ6OvSN3blL/7\n7rvp41tvvXXOZsj1Wb58eUyfPj1SqVQMGjQoOnfunD62ZMmS+OijjyJi9Z2/1l9//azzm7KGTz/9\nNH1XrA022CDdqDjXut5///2IiOjevXuDtzVvrCVLlsT06dOjbdu2MWDAgKioqMg4/uabb0Z1dXW0\nbds2553O6mrM56o5KisrY/r06bFixYro3r17DBw4sFGf448++ijdU22zzTZLbHLelM9bdXV1vPnm\nmxER0blz54zeN7lUVVXF9OnTY+XKlTFw4MCM9/lHP/pRXHrppRERcf3112f05GnKx5BLIb+XG1L7\nfezbt28MGjQo59i33nor3QdswIABMWDAgEZfpxhft4sXL85oJl+I77NCvfdr89oiSvczPsmiRYti\n1qxZkUqlon///tG9e/dGX7MQf2cAFJswCoC1Qn1hFPD5Ul1dHRtvvHF88sknERHx6quvFiS4AwBa\nB3fTAwCgoH7605+mg6hhw4Zl3DUOAEAYBQBAo33nO9+Jf/3rXzF79uysY2+88UYcffTR6e15ERGn\nnXaabUIAQAbb9ABYK9imB58PgwcPjunTp0dERKdOnWLAgAHRsWPHmDlzZsyfPz9j7NZbbx0vvfRS\nk/vsAACtW7uWXgAAAJ9Py5cvj0mTJiUe23bbbeOhhx4SRAEAWWzTAwCg0a6++uo46qijYuDAgVnH\n2rVrFzvvvHNce+21MX78+OjXr18LrBAAWNvZpgfAWsGtqOHzp6qqKubMmRPz58+PioqK6Nevny22\nAECDhFEAAAAAlIxtegAAAACUjDAKAAAAgJIRRgEAAABQMsIoAAAAAEpGGAUAAABAybRr6QVQeqtW\nrYqpU6dGRES3bt2iTRuZJAAAAJCspqYmFi1aFBER66+/frRrl1+cJIxaB02dOjWGDRvW0ssAAAAA\nPmc+/vjj2HDDDfOaQ0kMAAAAACWjMmod1K1bt/Tjjz/+OHr06NFyiwEAAADWagsWLEjvsKqdKTSX\nMGodVLtHVI8ePaJnz54tuBoAAADg86IQfadt0wMAAACgZIRRAAAAAJSMMAoAAACAkhFGAQAAAFAy\nwigAAAAASkYYBQAAAEDJCKMAAAAAKBlhFAAAAAAlI4wCAAAAoGSEUQAAAACUjDAKAAAAgJIRRgEA\nAABQMsIoAAAAAEpGGAUAAABAyQijAAAAACgZYRQAAAAAJSOMAgAAAKBkhFEAAAAAlIwwCgAAAICS\nEUYBAAAAUDLCKAAAAABKRhgFAAAAQMkIowAAAAAoGWEUAAAAACUjjAIAAACgZIRRAAAAAJSMMAoA\nAACAkhFGAQAAAFAywigAAADqtWDpopi9aF5LLwNoJYRRAAAA5PTAhCdi5PlfjS3P3T+uGPuPll4O\n0AoIowAAAMjp1L//NCqrVkRExKX3XxOLly9t4RUBn3fCKAAAAHKqSdVkPJ88Z3oLrQRoLYRRAAAA\nAJSMMAoAAACAkhFGAQAAAFAywigAAAAaLZVKtfQSgM+5di29gFJasmRJLFmypEnn9O3bN9q2bdvg\nuMWLF0eHDh2ivLy8ucsryBwAAAAAa7N1qjLq0ksvjfXWW69JfyZNmpRzvjfffDOOOeaY6N69e3Tr\n1i06duwYG2ywQZx33nmxcOHCRq2pEHMAAAAAfF6sU5VRXbt2jf79+9c7JpVKxWeffRYREd27d4/B\ngwcnjrv11lvjpJNOipUrV0ZEREVFRaxYsSKmTJkSl112Wdx2223xxBNPxMYbb5zzWoWYAwAAAODz\nZJ2qjDrvvPNi5syZ9f654YYb0uOPPvro6NixY9Y8L730UjpE2nLLLePll1+OxYsXx7Jly+Kmm26K\nioqKmDp1auy///5RWVmZuJZCzAEAAFBqqdAzCsjPOhVGNUbtMOqkk05KHHP22WfHypUro1evXvGf\n//wntttuu4iIaNeuXRx33HFx4403RkTEhx9+GFdeeWXR5gAAACg1/cuBfAmjalmwYEHcf//9ERGx\n2WabxQ477JA15p133omnn346IiLOOOOMxG1/hxxySIwcOTIiIq655pqizAEAAADweSSMquW2225L\nb4nLVRW1JqyKiDjssMNyzrXm2MSJE+Ptt98u+BwAAAAAn0fCqFr++c9/RsTqrXLHH3984phXXnkl\nIiI6deoUW265Zc65aldVrTmnkHMAAAC0BD2jgHwJo/7Pe++9F+PHj4+IiP333z/nXffef//9iIjY\nYIMNok2b3G/fhhtumHVOIecAAAAA+Dxq19ILWFs0pnF5RMS8efMiIqJPnz71zlf7+JpzCjlHQ+bP\nn5/z2IIFC5o0FwAAAEChCKMioqamJm6++eaIiOjbt28ccMABOccuXbo0IiI6duxY75ydOnVKP16y\nZEnB52hIr169mjQeAAAAoBRs04uI//znPzF9+vSIiDjuuOOiffv2OceWlZVFRESqgfuZ1j5edyte\nIeYAAABoCQ39HgPQEJVR0fgtehERFRUVMW/evFi+fHm945YtW5ZxTqHnaEh92/oWLFgQw4YNa9J8\nAAAAAIWwzodRCxcujHvvvTciIrbffvt6724XEdGvX7+YMmVKzJw5s95xtY/369ev4HM0pGfPnk0a\nDwAA0Bgqo4B8rfN7v26//faorKyMiIaroiIiNt1004iImDp1aqxYsSLnuIkTJ2adU8g5AAAAAD6P\n1vkwas0WvfLy8jj66KMbHL/jjjtGRERVVVW89NJLOcc9++yz6cc77LBDwecAAABoGSqjgPys02HU\nBx98EC+88EJERBxyyCGN2tr2ta99Ld2A/NZbb00cU1NTE3fccUdERGy77baxwQYbFHwOAAAAgM+j\ndTqMakrj8jUGDRoURx55ZEREXHfddfHGG29kjbn88stj8uTJERHxwx/+sChzAAAAAHwerbNhVE1N\nTdx0000RETF48ODYZ599Gn3upZdeGr17946VK1fG3nvvHdddd11MnDgx3njjjTjnnHPi3HPPjYiI\nPffcM4455piizQEAAADwebPO3k3vsccei2nTpkVExNe//vVo06bxudzQoUPjwQcfjMMOOyxmzJgR\np5xyStaY3XffPe655570drxizAEAAFBqbqYH5GudDaPGjBkT/fv3j7KysjjxxBObfP6oUaPirbfe\nimuvvTbGjh0bU6dOjfLy8hg+fHiMHj06jjrqqAYDrkLMAQAAAPB5UpZKybXXNfPnz49evXpFRMS8\nefMa1bgdAABYNw04bVTG8zHn/j22G7ZFC60GaAmFzhGU3QAAANBoqVDPAORHGAUAAABAyQijAAAA\naDSdXoB8CaMAAAAAKBlhFAAAAI2mMgrIlzAKAACAREnBkwbmQL6EUQAAACRKDKNkUUCehFEAAAAk\nSqqCUhkF5EsYBQAAQKPpGQXkSxgFAABAouRtesIoID/CKAAAABIlxU6iKCBfwigAAAASJVZBqYwC\n8iSMAgAAoNE0MAfyJYwCAAAgUVJlVE1NTQusBGhNhFEAAAAkSqqCUhcF5EsYBQAAQCJ30wOKQRgF\nAABAo+kZBeRLGAUAAECipNhJZRSQL2EUAAAAiZK36bXAQoBWRRgFAABAsqQwyjY9IE/CKAAAABrN\nNj0gX8IoAAAAEiVXQQmjgPwIowAAAEiUVASlMgrIlzAKAACAREmVUbIoIF/CKAAAABqtJlXT0ksA\nPueEUQAAACRK2pLnbnpAvoRRAAAAJEoMo+zTA/IkjAIAACCRnlFAMQijAAAAaDTb9IB8CaMAAABI\nlFQFZZsekC9hFAAAAIkSt+mpjALyJIwCAAAgUWIVlCwKyJMwCgAAgEZTGQXkSxgFAABAoqTKKD2j\ngHwJowAAAMghO3iqSdW0wDqA1kQYBQAAQKLku+mVfh1A6yKMAgAAoNH0jALyJYwCAAAgUVLwpGcU\nkC9hFAAAAIk0MAeKQRgFAABAosQwqgXWAbQuwigAAAAaTWUUkC9hFAAAAImSYydhFJAfYRQAAACJ\n9IwCikEYBQAAQCJ30wOKQRgFAABAo4migHwJowAAAEiUVAVVk6ppgZUArYkwCgAAgER6RgHFIIwC\nAAAgUVLsJIwC8iWMAgAAoNFEUUC+hFEAAAAks00PKAJhFAAAAIlSCXVQSa8BNIUwCgAAgMZTGQXk\nSRgFAABAouS76bXAQoBWRRgFAABAosQwyjY9IE/CKAAAABIlxU4amAP5EkYBAADQaDWpmpZeAvA5\nJ4wCAAAgkZ5RQDEIowAAAEiU1B9KzyggX8IoAAAAEiVXRgmjgPwIowAAAGg0lVFAvoRRAAAAJEos\ngpJFAXkSRgEAAJBIzyigGIRRAAAAJNIzCigGYRQAAACNJowC8iWMAgAAIAfb9IDCE0YBAACQKHmb\nXgssBGhVhFEAAAAkSsqdalI1JV8H0LoIowAAAGg0PaOAfAmjAAAASJS4Ta8F1gG0LsIoAAAAEiX3\njBJHAfkRRgEAAJAo+c55wiggP8IoAAAAGk1lFJCvdi29gLXB/PnzY8qUKbFkyZJYf/31Y9CgQdG2\nbdtGnz916tSYNm1alJeXx4Ybbhg9e/Zs8hoKMQcAAEAhJeVOwiggX+t0ZdT9998fu+22W/Tp0ydG\njhwZu+yyS2ywwQbRt2/f+Na3vhXvvvtuvefffffdsdVWW8WQIUPiS1/6Umy33XbRt2/fOOCAA+K9\n995r1BoKMQcAAEAxJG3TE0UB+Vonw6hVq1bFCSecEAcffHA888wzUVZWFltuuWXstttuscUWW8Ti\nxYvjb3/7W9x3330557jwwgvj8MMPjzfffDM6d+4cO+64Y2yxxRZRXV0dY8eOjW233TaeeeaZetdR\niDkAAACKRQNzoBjWyTDqG9/4Rtx0000REfGDH/wgZs2aFW+88UY89dRT8eabb8acOXPi73//e2y2\n2WaJ5z/44IPxy1/+MiIiDjzwwJg6dWq88MIL8eabb8Yrr7wSQ4YMieXLl8chhxwS8+bNK9ocAAAA\npZbc1Byg8da5MOqee+5JB1G//vWv4/LLL4/evXtnjOnevXucfPLJcdBBB2Wdn0ql4txzz42IiKFD\nh8Ydd9wRvXr1Sh/fZptt4s4774yysrKYO3duXHrppUWZAwAAoNiSqqBqampaYCVAa7LOhVE/+9nP\nIiJiq622ivPOO6/J548fPz7dS+q73/1udO7cOWvMjjvuGHvssUdERNx4441ZP6wLMQcAAEDx6RkF\nFN46FUY999xz8c4770RExKmnnhpt2jT9wx8zZkz68YEHHphz3AEHHBAREbNmzYqXX3654HMAAAAU\nm7vpAcWwToVRTz75ZPrxvvvuGxERVVVV8dZbb8UzzzwTb7/9dlRXV9c7xxtvvBEREd26dYtNNtkk\n57gvfvGLWecUcg4AAICWoGcUkK91Kox65ZVXIiKioqIiNthgg/jFL34RAwcOzLiTXq9eveLMM8+M\nuXPnJs7x0UcfRUTEkCFD6r1W7eMffvhhwecAAAAotsTgSWUUkKd2Lb2AUpo1a1ZERPTt2ze++tWv\nxqOPPhpt27aNbbbZJjp37hxvv/12LFiwIK666qoYM2ZM/Pe//80KjBYsWBARET179qz3WrWPL1y4\nsOBzNGT+/Pk5j625PgAAQH2StuTJooB8rVNh1JpAZ9KkSTFp0qTYfffd4+abb47BgwdHRMTKlSvj\nkksuiZ///OcxadKkGD16dDz//PMZcyxdujQiIjp27FjvtTp16pR+vGTJkoLP0ZDad+cDAABojsQw\nyjY9IE/r1Da9du3+l72tt956cf/996eDqIiIDh06xIUXXhjf+MY3IiLihRdeiP/85z8Zc7Rv3z4i\nIlatWlXvtaqqqjLmLfQcAAAALUEDcyBf61QYVVFRkX584oknRrdu3RLHfe9730s/fuihhxLnWLZs\nWb3Xqn289nULNUdD5s2bl/PPxx9/3KS5AACAdVNSFZTKKCBf69Q2vdpVUNtuu23OcVtuuWW0bds2\nqqurY+LEiRnHBg0aFJ988klMnz693mvVPj5w4MCCz9GQhvpRAQAANCSpCEplFJCvdaoyavPNN08/\nrq9fU1lZWZSXl0dERGVlZcaxTTfdNCIiZsyYUW8fp/fffz/9eLPNNiv4HAAAAMWWWBkliwLytE6F\nUbvttlv68dSpU3OOmzdvXnqLXP/+/RPnqKmpiXHjxuWc4+mnn46IiLZt28ZOO+1U8DkAAABaQk2q\npqWXAHzOrVNh1C677BLrrbdeREQ88MADOcfVPrbLLrtkHDvwwAPTzcT/8Y9/JJ6/bNmyuOOOOyIi\nYvfdd4++ffsWfA4AAIBiczc9oBjWqTCqTZs28eMf/zgiVjcmv+2227LGTJs2LX7yk59ExOq+S0cd\ndVTG8Z49e8Zpp50WERH/+te/YsyYMVlznHXWWTF37tyIiPjRj36UdbwQcwAAABRbYn8oWRSQp3Wq\ngXlExGmnnRb33XdfPPbYY3HcccfFI488EgcccEB07tw5Xnnllbjyyitj9uzZUVZWFtdee23iHfd+\n/vOfx8MPPxwffPBBHHLIIXHGGWfEHnvsEUuXLo2bbropHn744YiI+MY3vhH77LNP4joKMQcAAEAx\nJeVOKqOAfJWl1sFbISxevDi+9a1vxe233554vHfv3nHttdfGoYcemnOOyZMnx+jRo2P8+PGJx087\n7bT405/+FO3bty/qHM0xf/786NWrV0Ss7o/lznsAAECSce9PiMP/cEbGa8ftcnD87ji7N2BdUugc\nYZ2rjIqI6Nq1a9x2221x1llnxT333BMffvhhLFu2LPr37x+77LJLHHnkkVFRUVHvHBtssEE8++yz\n8fDDD8fYsWNj6tSpUV5eHsOHD4/Ro0fHVltt1eA6CjEHAABA0ST1jFr36hmAAlsnw6g1tt9++9h+\n++2bfX7btm3jgAMOiAMOOKBF5wAAACiGpC15tukB+VqnGpgDAADQeIl305NFAXkSRgEAANBoKqOA\nfAmjAAAASJRcGSWMAvIjjAIAACBRUuxUI4wC8iSMAgAAoNFURgH5EkYBAACQKDl4EkYB+RFGAQAA\nkCipWbnKKCBfwigAAAASaWAOFIMwCgAAgEYTRQH5EkYBAACQKKkISmUUkC9hFAAAAIkSe0apjQLy\nJIwCAAAgkZ5RQDEIowAAAGg0WRSQL2EUAAAAOdimBxSeMAoAAIBEydv0alpgJUBrIowCAAAgkbvp\nAcUgjAIAAKDRZFFAvoRRAAAAJErqD6VnFJAvYRQAAACJkntGCaOA/AijAAAASKQyCigGYRQAAACN\npjIKyJcwCgAAgESJ2/RaYB1A6yKMAgAAIFFSEZTKKCBfwigAAAASJfaMEkYBeRJGAQAA0GjCKCBf\nwigAAAASJfeMEkYB+RFGAQAAkMg2PaAYhFEAAAAk08AcKAJhFAAAAI1mmx6QL2EUAAAAiZK36bXA\nQoBWRRgFAABAIg3MgWIQRgEAAJAoMYxSGgXkSRgFAABAowmjgHwJowAAAEiU2DOqBdYBtC7CKAAA\nABIlFkGpjALyJIwCAAAgUVJlVE2qpgVWArQmwigAAAAaTc8oIF/CKAAAABIl3k2vBdYBtC7CKAAA\nABIlhlEqo4A8CaMAAABIlNi/XG0UkCdhFAAAAI2mMgrIlzAKAACARMnb9FpgIUCrIowCAAAgh6QG\n5tIoID/CKAAAABJpYA4UgzAKAACAJhBGAfkRRgEAAJAoqQqqRmUUkCdhFAAAAImSYifb9IB8CaMA\nAABIpGcUUAzCKAAAABrN3fSAfAmjAAAASJQUPCmMAvIljAIAACBR4jY9lVFAnoRRAAAANJqeUUC+\nhFEAAAAk0sAcKAZhFAAAAImSYydhFJAfYRQAAACJkiujWmAhQKsijAIAAKDRNDAH8iWMAgAAIFFS\n8FRTU9MCKwFaE2EUAAAAyZK26bXAMoDWRRgFAABAoqT+UO6mB+RLGAUAAECj6RkF5EsYBQAAQKKk\n4EllFJAvYRQAAACJkoInYRSQL2EUAAAAiRIro1pgHUDrIowCAACg8VRGAXkSRgEAAJAocZue2igg\nT8IoAAAAEiUVQekZBeRLGAUAAECipCqoGmEUkCdhFAAAAI2mMgrIlzAKAACARHpGAcUgjAIAACBR\nUvCkMgrIlzAKAACAZEkNzEu/CqCVEUYBAADQaCqjgHy1a+kFlNptt90Wc+fObXDciBEjYt99921w\nXGVlZTzzzDMxbdq0KC8vj0022SS++MUvNmlNhZgDAACg0BL7QwmjgDytc2HUr371q3j77bcbHHfs\nscfWG0ZVV1fHb37zm/jNb34TixYtyji20UYbxZ///OfYb7/96r1GIeYAAAAoFg3MgWJY58KoNb7w\nhS/E3nvvnfP4DjvsUO/5X//61+OWW26JiIhhw4bFrrvuGkuXLo1HHnkkJk6cGF/5ylfi5ptvjmOO\nOaaocwAAABRLYhgliwLytM6GUTvuuGNcddVVzTr373//ezpEOvPMM+OKK66INm1Wt9+aPXt2fOUr\nX4kJEybEN77xjfjSl74UQ4cOLcocAAAApaYyCsiXBuZNtGrVqrjwwgsjImLkyJHxhz/8IR0iRUT0\n7ds3br/99mjXrl2sWLEiLrrooqLMAQAAUGxJwZMG5kC+hFFN9OSTT8aMGTMiYnVFU9u2bbPGbLzx\nxnHggQdGRMRdd90VK1euLPgcAAAAxZaUO9Wkakq/EKBVEUY10SOPPJJ+/P/+3//LOW7NsUWLFsXz\nzz9f8DkAAACKLbkyqgUWArQq62zPqGXLlsUTTzwRn3zySZSVlUX//v1jhx12iD59+tR73ltvvRUR\nEb17947BgwfnHDdy5MiMc3bfffeCzgEAANAS9IwC8rXOhlH/+te/4l//+lfGa2VlZfGVr3wlLrnk\nkthqq60Sz5s0aVJERAwZMqTe+ddff/30448//rjgczRk/vz5OY8tWLCgSXMBAADrpuS76QmjgPys\nk2FUmzZtYvPNN4+hQ4fGgAEDYv78+fHcc8/FjBkzYuzYsfHEE0/E7bffHgcffHDWuYsWLYqIiG7d\nutV7jdrHFy9eXPA5GtKrV68mjQcAAKgrMXgSRgF5WufCqAsuuCD22muvrO141dXV8Y9//CO++93v\nxvLly+Poo4+Ot956K4YNG5Yxbvny5RERUV5eXu91OnbsmH68bNmygs8BAABQbEmxkygKyNc6F0Yd\neeSRia+3bds2TjnllKioqIijjz46li9fHpdcckn87W9/yxi3JkBq6O52tY/XDpUKNUdD5s2bl/PY\nggULskI2AACAxrBND8iXu+nVcdRRR8Wmm24aERFjxozJOt61a9eIiFiyZEm989Q+vuacQs7RkJ49\ne+b806NHjybNBQAArJsSe0apjQLyJIxK8MUvfjEiIj799NNYsWJFxrE1TcenTZtW7xxTp07NOqeQ\ncwAAABSfBuZA4QmjErRr97/di9XV1RnHNt9884iImDlzZsydOzfnHO+880768WabbVbwOQAAAIrN\n3fSAYhBGJXjrrbciYvVWt86dO2cc22uvvdKPn3zyyZxzPP744xGxuj/UzjvvXPA5AAAAWkKNMArI\nkzCqjnHjxsWLL74YERF777131vH99tsvunfvHhERf/nLXxLnmDNnTtx9990REbH//vtHRUVFwecA\nAAAoNj2jgGJYp8Kol156KebMmZPz+PPPPx9HHHFERESUlZXFeeedlzWmc+fOcc4550RExBNPPBF/\n+tOfMo6vWLEiTjrppFi2bFmUlZXFBRdcUJQ5AAAAii0pdrJND8hXu4aHtB6///3v46677opRo0bF\npptuGgMGDIjevXvHvHnzYty4cfHf//43/YP1D3/4Q2y//faJ85xzzjnx6KOPxtNPPx3f+9734qGH\nHoo99tgjli5dGnfeeWe8//77ERHxy1/+MkaOHFm0OQAAAIpJ8AQUQ1lqHfrpcsUVV8Rll10Wn376\nac4xm2++efzud7+LL3/5y/XOtWjRojjjjDPi5ptvzjrWqVOnuOSSS+J73/te0edojvnz50evXr0i\nImLevHnRs2fPgl8DAAD4/PvVv6+OKx+5Mev1T//yfJSVlbXAioCWUOgcYZ0Ko9Z47bXX4tVXX41P\nP/005syZE506dYrBgwfHqFGjYptttmnSXBMnToyxY8fG1KlTo7y8PIYPHx4HHXRQuidUqeZoCmEU\nAADQGBf/+89x1SM3Zb0+4+rnok2bdarrC6zTCp0jrFPb9NYYOXJkwba+bbTRRnHmmWe2+BwAAACF\nlqt2QRNzIB+ibAAAAJpkHdxgAxSQMAoAAIBEuSujAJpPGAUAAECiXKGTyiggH8IoAAAAEuWsjBJG\nAXkQRgEAANAkNamall4C8DkmjAIAACBRrrvmqYsC8iGMAgAAIJltekARCKMAAABIlDNzEkYBeRBG\nAQAA0CS5tu8BNIYwCgAAgEQ5e0bJooA8CKMAAABIlKs3lMooIB/CKAAAABLlrowSRgHNJ4wCAACg\nSYRRQD6EUQAAACSyTQ8oBmEUAAAAiXIVQNWojALyIIwCAAAgkZ5RQDEIowAAAGgSYRSQD2EUAAAA\niXKHTsIooPmEUQAAACTKvU2vxAsBWhVhFAAAAMlyhE7upgfkQxgFAABAk+gZBeRDGAUAAEAid9MD\nikEYBQAAQKJcoZMoCsiHMAoAAIBEOcMolVFAHoRRAAAANIkG5kA+hFEAAAAkyhU61dTUlHglQGsi\njAIAACBRrt146qKAfAijAAAASJRzO56eUUAehFEAAAA0iZ5RQD6EUQAAACRyNz2gGIRRAAAAJBJG\nAcUgjAIAACBRrshJFAXkQxgFAABAk6iMAvIhjAIAACBRzm16aqOAPAijAAAAyEHPKKDwhFEAAAAk\nyhU61QijgDwIowAAAGgSlVFAPoRRAAAAJModOgmjgOYTRgEAAJAoZxSlMgrIgzAKAACARLnvpgfQ\nfMIoAAAAmkRlFJAPYRQAAACJUjlqoIRRQD6EUQAAACTKvU1PGAU0nzAKAACARLkKoBRGAfkQRgEA\nANAkKqOAfAijAAAASKRnFFAMwigAAAAS5ewZlaop8UqA1kQYBQAAQJMojALyIYwCAAAgB3fTAwpP\nGAUAAECi3Nv0hFFA8wmjAAAASJQrcxJGAfkQRgEAANAktukB+RBGAQAAkChX6KQwCshHycOojz76\nKH7yk5/EnnvuGZtttlkMHTo03nzzzYwx48aNi3vvvTfmzp1b6uUBAADwf3L2jFIZBeShXakulEql\n4sILL4xf/epXUVNTk3FsxYoVGc//9a9/xZ/+9Ke48sor4zvf+U6plggAAEAtuSujhFFA85WsMupn\nP/tZXHTRRVFTUxNDhgyJE088Mfr37584dv/994+IiEcffbRUywMAAKCRhFFAPkoSRn344Ydx6aWX\nRkTET3/605g4cWL84x//iMGDByeO32233SIi4qmnnirF8gAAAEiQc5ueMArIQ0nCqJtvvjmqq6vj\nq1/9alx00UXRrt3q3YFlZWWJ4zt16hTdu3ePRYsWxcyZM0uxRAAAAOrIFTnpGQXkoyRh1MsvvxwR\nESeccEKjzxkwYEBERMyZM6coawIAAKB+KqOAYihJGDVv3ryIiKxtebkqoyIi2rQp+Y3+AAAAaARh\nFJCPkiQ+3bp1i4iIBQsWNGp8dXV1TJ06NSIievfuXaxlAQAAUI+clVElXgfQupQkjBoxYkRENL4h\n+WOPPRZLliyJ/v37x3rrrVfMpQEAAJBDrt5QKqOAfJQkjPrqV78aERF//etf0xVPEcnb9JYsWRJn\nn312REQcdNBBpVgeAAAASXJkThqYA/koSRi17777xqhRo2LBggWx++67x8MPP5yVpKdSqXj88cdj\np512irfeeivKy8vjnHPOKcXyAAAAaAKVUUA+2pXqQrfddluMGjUqJk2aFF/5yleid+/esXz58oiI\nOPnkk2PGjBkZd87785//HJtsskmplgcAAEAdubfplXghQKtSslvWDR06NF566aXYY489IiJi7ty5\nsWzZsoiIeOONN9JBVJ8+feKOO+6Ik08+uVRLAwAAIEHuBubSKKD5SlYZFRGx/vrrx5NPPhnPP/98\n3H///fH666/H3Llzo7y8PNZff/3Yc889Y/To0dG1a9dSLgsAAIAEOcMopVFAHkoaRq2x0047xU47\n7dQSlwYAACBPqVRNSy8B+Bwr2TY9AAAAPl/0jAKKQRgFAABAolyhk55RQD4Kuk3vvvvui9mzZxdy\nyvja174Wffr0KeicAAAANCx3ZZQwCmi+goZRF110UUyYMKGQU8bIkSOFUQAAAGsRlVFAPlqkgfna\n6Mknn4w77rgj/fxXv/pV9O7du8HzPvjggxgzZkxMmzYtysvLY5NNNomDDz44evXq1ehrF2IOAACA\nQnM3PaAYChpGPffcc1FTk3xXhaqqqrj44ovj8ssvj0MOOSSOP/74GDlyZPTs2TMqKytj4sSJ8cgj\nj8Sf/vSnGDZsWFx33XWxySabRHl5eSGXmGjhwoVx/PHHx/Tp09OvnX/++fWGUQsWLIjTTz89brvt\ntqxjHTt2jF/96lfxwx/+sN7rFmIOAACAYskdRpV4IUCrUtAwqkOHDomvp1KpOPnkk+POO++Mf/3r\nX/G1r30t43hFRUX06dMndtxxxzjttNNi3333jX322SdeeOGF2HDDDQu5xEQ//OEPY/r06dG+ffuo\nqqpqcPyKFSviq1/9aowbNy4iIg488MDYfffdY+nSpXHHHXfEu+++G2eddVYsXrw4LrzwwqLNAQAA\nUEy5Mifb9IB8lORuemPHjo1bb701Tj311Kwgqq5+/frFTTfdFJ999llJqoIeffTRuP7666NPnz7x\n9a9/vVHnXHbZZekQ6c9//nM88MADcfbZZ8eFF14Yr732Whx00EEREfGLX/wiXnnllaLNAQAA0BJs\n0wPyUZIwak0vpjUBS0O22mqrGDp0aNx///2xdOnSoq1r8eLF8a1vfSsiIi6//PJG9YhatmxZ/O53\nv4uIiH322SdOP/30jOMdOnSI66+/Prp06RKpVCouuuiioswBAABQdLm26amMAvJQkjDqk08+iYiI\nzp07N/qczp07R01NTUyZMqVIq4o499xzY/LkybHPPvvE8ccf36hzHnrooVi0aFFERJx22mmJY3r3\n7h2HHXZYevzixYsLPgcAAECx5QqdVEYB+ShJGNWpU6eIiJgwYUKjxi9cuDA++uijjHML7b///W9c\nc8010bFjx/jrX//a6POefPLJ9OM99tgj57i99947Ilb3hnruuecKPgcAAECxuZseUAwlCaO++MUv\nRsTqPkmzZs1qcPz5558fK1eujP79+8f6669f8PUsW7YsTjnllEilUnHBBRfERhtt1Ohz33777YiI\nGDBgQL3b+jbddNOscwo5BwAAQEsRRgH5KEkYdcopp0SnTp1ixowZMWrUqLj77rsT71r33nvvxZFH\nHpmuVDr99NOjbdu2BV/Pj3/845g4cWJsueWWcfbZZzfp3KlTp0ZExODBg+sdVztEq7vVsBBzNGT+\n/Pk5/yxYsKBJcwEAAOumnJVRekYBeWhXiosMHTo0/vrXv8aJJ54Yn3zySRx++OFRUVERm2++efTs\n2TMqKytj0qRJMXny5PQ5e+21V5x33nkFX8tzzz0XV155ZbRp0yauvfbaaN++fZPOX9O7qaKiot5x\ntY8vWbKk4HM0pFevXk0aDwAAUFeuyElhFJCPkoRREREnnHBC9OnTJ0499dSYNm1aLFmyJMaPH5+9\noHbt4owzzohLLrkkysvLC7qGysrK+MY3vhE1NTVxxhlnxKhRo5o1R0Q0GGJ16NAh65xCzgEAAFBs\nKqOAYihZGBURsf/++8fHH38cDzzwQDz++OPx/vvvx8KFC6Njx44xcODAGDVqVIwePToGDhxYlOtf\ncMEF8f7778fAgQPj17/+dbPm6Ny5cyxatChWrFhR77ja4VHduwgWYo6GzJs3L+exBQsWxLBhw5o0\nHwAAwBp6RgH5KGkYFbG6GujQQw+NQw89tKTXnTBhQlx++eUREXHVVVdFt27dmjVPt27dYubMmbFo\n0aJ6x9U+XvdahZijIT179mzSeAAAgLpyVUAJo4B8lDyMainPP/98VFdXR0VFRTzyyCPxyCOPZI2p\nvW3wJz/5SXTt2jUqKirid7/7Xfr1YcOGxQcffNBgQ/Hax+tWIRViDgAAgGLLvU0PoPnWmTBqjSVL\nlsQ111zT4Lhbb701IiJ69+6dEUZtueWW8fDDD8e8efNi6tSpGXe8q+21115LP95iiy0yjhViDgAA\ngGLLVQClMgrIR0nCqIceeijmzp3brHP333//gtwZbs8994y//OUv9Y6599570xVTF198cfTu3Ts6\ndeqUMWa//faL3/72txER8cgjj8Qpp5ySONeaebp3757VKL0QcwAAALQcYRTQfCUJo372s5/FhAkT\nmnXuSy+9VJAwavPNN4/NN9+83jGffPJJOgA69thjY+jQoVljdt999xg8eHBMmzYtrrzyyjjppJOi\nbdu2GWM++OCDGDt2bEREHHHEERl3xSvUHAAAAMWWq2dUTU1NiVcCtCZtWnoBnzft2rWLX/ziFxER\n8cYbb8R3v/vdqK6uTh+fNWtWjB49OlatWhUdO3aMn/3sZ0WZAwAAoNj0jAKKoSSVUf/9739j1apV\nOY9XVVXFjBkz4vHHH4/f//73seGGG8b1118f/fr1i65du5ZiiU3yjW98I5566qm48cYb4+qrr44x\nY8bErrvuGkuXLo1HH300li5dGmVlZXHDDTfEkCFDijYHAABAcbmbHlB4JQmjKioqGhzTt2/f2Hrr\nreOkk06KvfbaKw488MB44YUXsravrS3+8Y9/xGabbRaXXnppTJ48OSZPnpw+Nnz48Pjzn/8c++yz\nT9HnAAAAKLVc2/cAGmOtu5tez5494/rrr49tt902zj777Lj++utLdu1DDjkk3Seqd+/e9Y5t06ZN\nnHfeefH9738/nnvuuZg6dWqUl5fH8OHDY5tttmnU9QoxBwAAQLHk3KanMgrIQ1lqLf0psv7668dn\nn30WCxcujI4dO7b0clqV+fPnp5vCz5s3L3r27NnCKwIAANZG+/zqhHhr6gdZr19y1Nlx0h6Ht8CK\ngJZQ6BxhrW1g3qNHj1i5cmV88sknLb0UAAAAalkrKxqAz421MoxavHhxTJw4MSJW33kOAACA0rNN\nDyiGtS6MqqysjNNOOy2WL18e3bt3T/dwAgAAoLRyhlFqo4A8lKTs6M4774zPPvus3jHLli2Ljz76\nKB588MH49NNPIyLi1FNPVRkFAADQQnKGTiqjgDyUJOm57LLLYsKECU065+CDD46LLrqoSCsCAACg\nuWqEUUAe1pqyo06dOsWAAQNi++23j+OPPz6++tWvtvSSAAAA1mm5Mic9o4B8lCSMevnll0txGQAA\nAAoo1zY9PaOAfKx1DcwBAABYO7ibHlAMwigAAACaRBYF5KMkYdQFF1wQxx13XEyaNKmo5wAAAFA4\nOSujbNMD8lCSMGrs2LFxyy23xNy5c4t6DgAAAIVkmx5QeGv9Nr2ysrKWXgIAAMA6Kefd9FRGAXlY\na8OoJUuWREREp06dWnglAAAAZJBFAXlYK8OoiRMnxkcffRQREQMGDGjh1QAAAKybclVAqYwC8tGu\nGJNecMEF8fHHH6efr2lCfsEFF0SvXr1ynldTUxNz586N5557Lqqrq2PzzTevdzwAAADFk7OBuZ5R\nQB6KEkaNHTs2JkyYkPX6Qw891Og52rZtGxdffHEhlwUAAEAT5AqdalI1JV4J0JoUJYzabLPNMp6/\n++67sWzZsth0002jc+fOOc9r27ZtdO/ePbbccss44YQTYuutty7G8gAAAMiDwiggH0UJo2688caM\n59tvv31MmDAhbrzxxth+++2LcUkAAAAKLFfmpGcUkI+ihFF1jR49OkaNGhX9+vUrxeUAAAAoAD2j\ngGIoSRh1zjnnlOIyAAAAFFDOu+kJo4A8tGnpBQAAAPD5IooC8iGMAgAAIJFtekAxFHSb3nnnnRcT\nJ06MiIjLLrsshg0blvV6U9WeBwAAgNLJHToJo4DmK2gY9fjjj8eECRMiIuL8889Ph0i1X2+q2vMA\nAABQOjmjKJVRQB4KGkZtt912UVFRERERXbt2TXy9qWrPAwAAQMsTRgH5KGgYdc011zTpdQAAANZi\nOUKnGmEUkAcNzAEAAEiUyrFRL9frAI0hjAIAACCRu+kBxSCMAgAAoEmEUUA+hFEAAAAkypU5iaKA\nfBS0gfl5550XEydOLOSUcdlll8WwYcMKOicAAAANy9kzSmUUkIeChlGPP/54TJgwoZBTxvnnny+M\nAgAAaAE5e0apjQLyUNAwarvttouKiopCThldu3Yt6HwAAADkJ1UjjAKar6Bh1DXXXFPI6QAAAGhB\nObfpqYwC8qCBOQAAAIlybdOrSdWUeCVAayKMAgAAIFGu+qca2/SAPBR0m15TTJ48Od57771YsGBB\ndOrUKQYOHBhbbbVVdOjQoaWWBAAAQCOojALyUdIwatWqVXHVVVfFVVddFRMnTsw63qlTpzjyyCPj\nZz/7WWy00UalXBoAAAB15LybXo7XARqjZNv0Zs+eHTvttFP84Ac/SAyiIiKWL18e//znP2OrrbaK\nu+++u1RLAwAAIEmuMEoDcyAPJamMqq6ujgMPPDBefvnliIjYYYcd4rjjjouRI0dGz549o7KyMiZO\nnBiPPPJI3HLLLbFs2bI46qij4plnnolRo0aVYokAAADUkSt0qqmxTQ9ovpKEUXfccUe8+OKLERFx\nxRVXxPe+972sMdtvv32MHj06zjnnnPjKV74SkydPjnPPPTeefvrpUiwRAACARqqxTQ/IQ0m26d1/\n//0REXHcccclBlG1bbrppnHTTTdFRMS4ceNi/vz5RV8fAAAA2XJlThqYA/koSRg1bdq0iIgYPXp0\no8bvuuuuMXDgwEilUjF9+vRiLg0AAIAccm7TUxkF5KEkYVTPnj0z/tsYvXr1yvgvAAAApZX7bnoq\no4DmK0kYtdNOO0VExNtvv92o8cuWLYuPP/44hg4dGuutt14xlwYAAEATaWAO5KMkYdQ3v/nN6Nev\nX/z+97+PJUuWNDj+0ksvjWXLlsVPf/rTKCsrK8EKAQAAqCtXZZRtekA+ShJG9e3bN8aOHRtLly6N\n3XbbLcaPH584bt68efHDH/4wfv3rX8cFF1wQJ598cimWBwAAQILcPaNURgHN164UF7nkkkti8uTJ\nsdtuu8Wdd94Zo0aNio022ihGjhwZPXv2jMrKypg0aVK89NJLsXLlyth2221j1qxZcdppp+Wc88c/\n/nEMGTKkFMsHAACgFpVRQD5KEkbdfffdMWHChIzXJk6cGBMnTkwc/8orr8Qrr7xS75ynnHKKMAoA\nAKCIcmVOGpgD+ShJGDV06NBG9Ypqik6dOhV0PgAAADLl3KZXozIKaL6ShFF33XVXKS4DAABAAeVu\nYK4yCmi+kjQwBwAAoPXIVTEF0BjCKAAAAJLlrIwSRgHNJ4wCAAAgUa7IqabGNj2g+UrSM2qNVCoV\nTz/9dPz3v/+Njz76KBYtWhTV1dX1nnPFFVfExhtvXKIVAgAAsEaunlG5XgdojJKFUW+//XYcd9xx\n8dprrzXpvJ///OdFWQ8AAADNo4E5kI+ShFGzZs2KPfbYI+bMmRMREZ06dYoRI0ZEz549o02b+ncK\nduvWrRRLBAAAoI5cjcqFUUA+ShJG/fGPf4w5c+ZEx44d44orroivf/3r0bFjx1JcGgAAgGbKtR1P\nA3MgHyUJo8aPHx8RET/5yU/i1FNPLcUlAQAAyFPOMEoDcyAPJbmb3pofYHvuuWcpLgcAAEARaWAO\n5KMkYdTw4cMjImLJkiWluBwAAAAFkCty0jMKyEdJwqiTTz45IiLuu+++UlwOAACAAtAzCiiGkoRR\nX/ziF+Pss8+Ov/3tb3HPPfeU4pIAAADkyd30gGIoSQPziIjf/va30adPnzjuuOPiy1/+chx55JEx\nfPjw6Ny5c73nDR061J33AAAA1iJ6RgH5KFkYFRHx//7f/4uHHnoo/v3vf8e///3vRp3z0ksvxfbb\nb1/klQEAAFCXbXpAMZRkm15ExB//+MfYfvvt46mnnirVJQEAACiClG16QB5KUhk1fvz4+P73vx8R\nEYMGDYpjjz02ttpqq+jZs2e0aVN/HrbmTnwAAACUTn1b8VRGAfkoSRh1zTXXRMTqRuZPPPFEVFRU\nlOKyAAAAFEFNjcoooPlKsk3vo48+ioiI8847TxAFAADwOaAyCiiWkoRRPXr0iIiI9dZbrxSXAwAA\nIE+pqC+MUhkFNF9Jwqhdd901IiI+/PDDUlwOAACAPNVXGaWBOZCPkoRRp5xySgwePDiuuOKKWLFi\nRSkuCQAAQJHYpgfkoyQNzHv27Bljx46Ngw46KPbff//429/+FsOGDSvFpbOkUql4880344knnogP\nPvggZsyYEQsXLozu3bvHpptuGl/+8pdjt912i7KysgbnqqqqigceeCDGjBkT06ZNi/Ly8thkk01i\n9OjRscMOOzRqPYWYAwAAoNDqi5s0MAfyUZaqr/ayQC655JKYPHlyLF68OO64445IpVKx/fbbx4gR\nI6Jz5871nvvjH/84hgwZUpB1LFy4MIYPHx6fffZZveNGjRoVN910U2y88cY5x0ycODGOPPLIeOWV\nVxKPn3TSSfHXv/41OnToUNQ5mmP+/PnRq1eviIiYN29e9OzZs6DzAwAAn38rV1XFkO/smnhsgz6D\nYvzFd5d4RUBLKXSOUJLKqLvvvjsmTJiQ8dqLL74YL774YoPnnnLKKQULo6qqqmLevHmxyy67xM47\n7xzDhg2LwYMHR0TE5MmT49Zbb41x48bFCy+8ELvttlu8/vrr0bdv36x55s6dG/vtt19MnDgxysvL\n4wc/+EHsvvvusXTp0rjpppvivvvui3/84x+xcuXKuPnmmxPXUog5AAAAiqX+u+mpjAKaryRh1NCh\nQ2PJkiXNOrdTp04FW0ePHj1i1qxZ6TSvrm9/+9tx2WWXxXnnnReffvpp/P73v49LL700a9wFF1wQ\nEydOjLKysnjggQdi3333TR877LDD4vvf/3788Y9/jFtuuSWOO+64+PKXv1yUOQAAAFqCnlFAPkqy\nTe/zpLq6Ovr06RMLFiyInXfeOcaNG5dxfN68eTFgwICoqqqKo48+Om699dasOSorK2PIkCExe/bs\n2G233eKpp54q+Bz5sE0PAABoSGXVihh65u6Jxwb17B8TLrmvxCsCWkqhc4SS3E3v86Rt27bRp0+f\n9OO67r///qiqqoqIiBNPPDFxjo4dO8bo0aMjImLcuHFZPaoKMQcAAEAx2aYHFMtaGUZVVVXFvffe\nG1/72tfi9ddfL+m1p0yZEpMmTYqI1Y3M61pTKdW2bdvYeeedc86z2267RcTqu0w8//zzBZ8DAACg\nmOq9m54NNkAe1qow6rXXXovvf//7MWjQoDjkkEPivvvuS1cQlcK4cePi4IMPjurq6hg0aFCcd955\nWWPefffdiIgYOHBgdOnSJedcw4cPTz9+5513Cj4HAABAS1EZBeSjJA3M6zN79uy45ZZb4oYbbsiq\ngmrXrl107NixKNcdP358nHXWWRERsWzZspg2bVrMnj07OnToEIcffnhceeWViY3OZ8yYERGrg6T6\n1D7+6aefFnyOhsyfPz/nsQULFjRpLgAAYN1T/zY9lVFA87VIGFVVVRVjxoyJG264IcaOHZtV/bTD\nDjvEcccdF0cddVT07du3KGuYP39+PPvss1mvb7XVVnHQQQdFv379Es9bc1fA+iqaIiI6d+6cdU4h\n52hIrjsGAgAANEo9gVOqRmUU0HwlDaNee+21uOGGG+LWW2+N2bNnZx3/zne+E9/97ndjk002Kfpa\nRo0aFc8880xErL5z3ccffxx33nlnPP7443HCCSfEHXfcEbfffntUVFRknLcmOEtqbl5bu3b/e2vr\nhm2FmAMAAKCYUvV0jVIZBeSj6GFUfdvwOnToEF/5ylfi5ZdfjunTp8fXv/71kgRRERE9evSIXXbZ\nJeO1b33rW3H11VfHGWecEWPGjIkf/vCHce2112aM6dKlSyxcuDAqKyvrnX/58uUZ5xR6jobMmzcv\n57EFCxbEsGHDmjQfAADAGnpGAfkoSgPz2nfDGzRoUPzgBz9IB1Ft2rSJ3XffPa699tqYOXNm3Hvv\nvTFgwIBiLKNZTj/99Nhvv/0iIuKGG26IhQsXZhzv0aNHRNTfk6nu8TXnFHKOhvTs2TPnn6bOBQAA\nrHvqK34SRgH5KHgY9etf/zrxbngjR46Myy67LCZPnhz//e9/45vf/Gb07Nmz0JcviDVhVFVVVbz1\n1lsZx9ZUbk2ePLneOWofr1vtVYg5AAAAisk2PaBYCh5G3XPPPel+UBtuuGH85Cc/iXfeeSdeffXV\nOOecc2Lw4MGFvmTBderUKf24pk5jvq233joiIhYvXhzvv/9+zjleeumlrHMKOQcAAEAx1Xc3PQ3M\ngXwUZZveGkOHDo0NN9ww1ltvvWJepuDefPPN9OMhQ4ZkHDvwwAPTjx944IGcczz44IMRETFgwIDY\nbrvtCj4HAABAS1EZBeSj4GHUqFGjon379hER8eSTT8Ypp5wSAwYMiEMPPTTuuuuuBpt2t7RJkybF\njTfeGBERW265ZWywwQYZx7/4xS/GlltuGRERV155ZSxZsiRrjnHjxsXTTz8dEREnnnhilJWVFXwO\nAACAYqq3MqqeLXwADSl4GHXVVVfF9OnT4/LLL09vLVuxYkX8+9//jiOOOCL69+8f3/jGN+Kxxx7L\n2gJXbH/4wx/i2muvjU8//TTr2MqVK+OOO+6IXXfdNZYsWRJlZWXxm9/8JnGeyy67LCIipkyZEocd\ndlh89tln6WMvvPBCjB49OiIi+vbtG+eee27R5gAAACiWentG2aYH5KEsVV/cXQCvvvpq3HDDDXHr\nrbfGnDlzMo6tt956MXr06Ljvvvti0qRJ8dJLL8X2229ftLUcfvjhcffdd0dERNeuXWPAgAHRq1ev\nWLp0aXz44YexYsWKiIgoLy+Pq666Kk455ZScc11yySXx4x//OD1+0003Tc8TEVFRURGPPvpo7LTT\nTkWdoznmz58fvXr1ioiIefPmrbWN5AEAgJYzb8nC2Ozs/RKPtSlrEzP+8lyJVwS0lELnCEUPo9ao\nqqqKBx98MG644YZ46KGH0nfZq+3nP/95nHnmmekPsNBeeOGFuOOOO+KRRx6Jd999N+v4euutF1/7\n2tfi+9//fgwfPrzB+caMGRM///nP4+WXX06/1qFDhzjggAPit7/9bWy00UYlmaOphFEAAEBD6guj\nIiJm/vWFEq4GaEmf2zCqttmzZ8fNN98c//znP+P111/PONahQ4f4yle+Escdd1x89atfjfLy8qKs\nobKyMj799NOYPXt2lJeXR//+/WPAgAHNmmv27NkxderUKC8vjw022CAqKipaZI7GEkYBAAANmbtk\nQWx+9pdzHv/0L8/rbQvriFYRRtVW3za+7t27x/jx42PEiBEttLrWSRgFAAA0ZM7i+bHFOV/JeXz6\n1c9G2zZtS7gioKUUOkcoeAPzptpmm23ij3/8Y8yYMSPuueeeOOigg9J341u4cGEsXry4hVcIAABA\nXTUtW9cAfI61eBi1Rvv27eOQQw6J++67L+tufAAAAJRWQ5to3FEPaK61JoyqrW/fvvGDH/wgXnvt\ntdh2221bejkAAADroAbCqJQwCmietTKMqq1Nm7V+iQAAAK1OQ7vwbNMDmkvSAwAAQJOlVEYBzSSM\nAgAAIEuqwW16KqOA5hFGAQAAkEUDc6BYhFEAAABkaSiMaqhyCiAXYRQAAABNZpse0FzCKAAAALI0\nFDXZpgc0lzAKAACALA1u01MZBTSTMAoAAIAsDd9NT2UU0DzCKAAAAJpMzyiguYRRAAAAZGloG57K\nKKC5hFEAAABkaTCM0sAcaCZhFAAAAFka2oSngTnQXMIoAAAAmsw2PaC5hFEAAABka7BnlMoooHmE\nUQAAAGRJNbBRT2UU0FzCKAAAALI01BNKzyiguYRRAAAANJltekBzCaMAAADI0nBllG16QPMIowAA\nAMjSUN2TyiiguYRRAAAAZGmoMqqmRmUU0DzCKAAAAJpMZRTQXMIoAAAAsqQa2KhXo2cU0EzCKAAA\nALJoYA4UizAKAACALA3twrNND2guYRQAAABNpoE50FzCKAAAALI03DNKZRTQPMIoAAAAsjTUM0oD\nc6C5hFEAAAAkUBkFFIcwCgAAgKYTRgHNJIwCAAAgi216QLEIowAAAMjSUN2TbXpAcwmjAAAAyKIy\nCigWYRQAAABNVlOjMgpoHmEUAAAAWVRGAcUijAIAACBLqoGuUSlhFNBMwigAAACyNNSfXANzoLmE\nUQAAADSZbXpAcwmjAAAAyNLQNj0NzIHmEkYBAACQRQNzoFiEUQAAAGRpKIxq6DhALsIoAAAAmqyh\nbXwAuQijAAAASNBQzyjb9IDmEUYBAACQpaFdeDW26QHNJIwCAACgyTQwB5pLGAUAAECWhnpCqYwC\nmksYBQAAQJaG76anMgpoHmEUAAAAWRoKozQwB5pLGAUAAECT2aYHNJcwCgAAgCwN94xSGQU0jzAK\nAACALA0VPqmMAppLGAUAAEAWlVFAsQijAAAAaLJUjcoooHmEUQAAAGRp8G56KqOAZhJGAQAAkKWh\nMKqhbXwAuQijAAAAyNJQ1FRjmx7QTMIoAAAAmsw2PaC5hFEAAABka2ibXgPHAXIRRgEAAJCloZ5Q\nKqOA5hJGAQAAkMXd9IBiEUYBAADQZDW26QHNJIwCAAAgS4OVUTUqo4DmEUYBAACQpaG6J5VRQHMJ\nowAAAMjSUGVUSs8ooJmEUQAAADSZyiiguYRRAAAAZEk1sFHP3fSA5hJGAQAAkKXhbXoqo4DmEUYB\nAACQpaGsyTY9oLmEUQAAADSZbXpAc7Vr6QWU0qpVq2LChAnx3//+N55//vmYPn16fPrpp5FKpWLA\ngAExatSoOOmkk2L77bdv1HyzZ8+Ov/zlLzFmzJiYNm1alJeXxyabbBJHHXVUnHDCCdG2bduSzAEA\nAFBoDfWMStWojAKaZ50Ko771rW/FP/7xj8RjM2bMiFdeeSWuvvrqOPXUU+Oqq66Kdu1yvz3PPPNM\nHH744fHZZ59lvD5p0qR49NFH49prr40HH3wwevfuXdQ5AAAAiqGhnlAqo4DmWqe26dXUrP5hOWDA\ngDj//PPjySefjKlTp8a0adPinnvuiW222SYiIq655po4/fTTc84zceLEOOigg+Kzzz6L/v37x803\n3xxTp06N9957L37yk59EmzZt4oUXXoivfe1r6WsWYw4AAIDiEUYBxbFOhVF9+vSJq666KiZPnhyX\nXHJJ7LHHHjF48OAYNGhQHHLIIfH888/HTjvtFBERf/vb3+L1119PnOfcc8+NBQsWRMeOHePJJ5+M\nY489NgYPHhwjRoyIiy++OP7whz9ERMS4cePixhtvLNocAAAALUUDc6C51qkw6ne/+12cccYZ0aFD\nh8Tj5eXl8atf/Sr9/P77788aM3Xq1LjnnnsiIuKb3/xmbLrpplljzjzzzNhwww0jIuKKK64oyhwA\nAADFZJseUCzrVBjVGFtttVX68eTJk7OO33vvvenHRx99dOIcZWVlcdRRR0VExOuvvx6TJk0q+BwA\nAADF1FDhU0NhFUAuwqg6Zs+enX7cpUuXrOMvvvhiRES0b98+tttuu5zzfOlLX0o/fumllwo+BwAA\nQDE1dDc9vW2B5hJG1XH33XenH++www5Zx999992IiBgyZEjO7X4REcOGDcs6p5BzAAAAtCQ9o4Dm\natfSC1ibzJw5M377299GRES/fv3i4IMPzhqzpnKqf//+9c41YMCArHMKOUdD5s+fn/PYggULmjQX\nAACw7tEzCigWYdT/WbVqVRx11FGxcOHCiIj47W9/GxUVFVnjFi9eHBERnTp1qne+2sfXnFPIORrS\nq1evJo0HAACorcFteiqjgGayTe//nHnmmfHUU09FRMRxxx0XJ5xwQr3jy8rKGn08178oFGIOAACA\nYmjodxC/owDNpTIqIi688ML461//GhER++yzT/z973/PObZLly4xf/78qKysrHfO5cuXpx/XrbAq\nxBwNmTdvXs5jCxYsyOhHBQAA0FQp2/SAZlrnw6jLL788fvnLX0ZExE477RT33ntvlJeX5xzfu3fv\nmDZtWoM9nGof7927d8HnaEjPnj2bNB4AAKC2hgqfbNMDmmud3qZ3zTXXxFlnnRUREdtuu2089NBD\n0aVLl3rP+cIXvhAREZMnT47q6uqc4yZNmpR1TiHnAAAAKKaGe0apjAKaZ50No2666ab49re/HRER\nW2yxRTz66KPRvXv3Bs/bdtttIyKisrIy3njjjZzjxo8fn3VOIecAAAAopgbvplejMgponnUyjLrr\nrrvipJNOilQqFSNGjIjHHnus0dvgDj744Ix56rtGRMQmm2wSm266acHnAAAAaEkqo4DmWufCqLFj\nx8YxxxwT1dXVsdFGG8Xjjz8e/fv3b/T5I0aMiL322isiIq6++uqYMWNG1pg777wz3nzzzYiIOP30\n04syBwAAQDHV3abXtk3bzOPCKKCZ1qkw6r///W8cdthhUVVVFRtssEE88cQTMWjQoCbP87vf/S7K\ny8tjwYIFsffee8ezzz4bqVQqKisr47rrrouTTjopIiI222yz9FbAYswBAABQNHV24bVtk/nrowbm\nQHOtU3fT+8UvfhGVlZURETFr1qzYaqut6h2/xx57xL333pv1+jbbbBM333xzHH/88fHee+/FLrvs\nEh06dIiqqqr0vuoNN9wwxowZk/POfIWYAwAAoFiyKqPK6oZRKqOA5lmnKqNqN+CrrKyMhQsX1vtn\nyZIlOec6/PDD49VXX40TTzwx+vXrFytXrow2bdrE8OHD42c/+1m88cYbMXTo0HrXU4g5AAAASqFM\nZRRQIOtUZdSDDz4Yq1atavT49u3b13v8C1/4QvzjH/+IiIiVK1dGu3btok2bpuV7hZgDAACg0Ore\nTS+rMqpGZRTQPOtUGFVRUVG0uTt06LBWzAEAAFAIdcOouv9oXvc4QGMpwQEAAKBBdSuj6vaUAmgs\nYRQAAABZ6oZNWT2jbNMDmkkYBQAAQJa6u/Cy76anMgpoHmEUAAAAWepWRrXNupueyiigeYRRAAAA\nZFlVXZ3xvH27zLuNq4wCmksYBQAAQJZV1asynpfXCaNSKqOAZhJGAQAAkKWqThjVoV2HjOcamAPN\nJYwCAAAgS93KqA626QEFIowCAAAgS93KqPK6lVG26QHNJIwCAAAgi8oooFiEUQAAAGTJ6hnVPrMy\nSgNzoLmEUQAAAGTJqoxq2y7jucoooLmEUQAAAGRxNz2gWIRRAAAAZFlVXZ3xvG7PqFSojAKaRxgF\nAABAlqy76bWvezc9YRTQPMIoAAAAsqyqaeBuerbpAc0kjAIAACBLQz2jUiqjgGYSRgEAAJCl7t30\nyutWRqVURgHNI4wCAAAgS4N301MZBTSTMAoAAIAsdSujsnpGqYwCmkkYBQAAQJasu+nVrYzSwBxo\nJmEUAAAAWbK26bXPrIzSwBxoLmEUAAAAWapWNdQzSmUU0DzCKAAAALI0fDc9lVFA8wijAAAAyFJ3\nm177thqYA4UhjAIAACBLVgNzPaOAAhFGAQAAkKXuNr3snlHCKKB5hFEAAABkybqbXru6lVG26QHN\nI4wCAAAgS3YDc5VRQGEIowAAAMjSUGVUTY3KKKB5hFEAAABkWVVdnfFczyigUIRRAAAAZKmqqf9u\nejV6RgHNJIwCAAAgS0N300upjAKaSRgFAABAlgZ7RqmMAppJGAUAAECWBu+mp4E50EzCKAAAALI0\nXBllmx7QPMIoAAAAMlTXVGf0hCorK4t2bdtmjLFND2guYRQAAAAZ6lZFtW/bLtqUZf/6qIk50BzC\nKAAAADLU7RfVrm27KCsri7KysozXq2uqS7ksoJUQRgEAAJAhqTIqIruJ+co64wAaQxgFAABAhqTK\nqIjsJuYrq1aWbE1A6yGMAgAAIENVdeb2u/Zt/q8yqn1mZdSKVcIooOmEUQAAAGSou01vzZ30OtTZ\nprdCZRTQDMIoAAAAMtTdpve/nlF1tumtqirZmoDWQxgFAABAhuzKKNv0gMIRRgEAAJAhV2WUbXpA\nIQijAAAAyJCrMqqjyiigAIRRAAAAZMhdGVWnZ5TKKKAZhFEAAABkqFsZlXObnsoooBmEUQAAAGSo\nWxmVc5telbvpAU0njAIAACBDYyujVqqMAppBGAUAAECG7MqothERUa6BOVAAwigAAAAy5K6Mymxg\nvkIDc6AZhFEAAABkWFVdnfF8Tc+ocg3MgQIQRgEAAJAhV2VU3W16K1dpYA40nTAKAACADHXDqHY5\nGpjbpgc0hzAKAACADHUbmK+pjOqogTlQAMIoAAAAMqysztx+1y5HA/OVVbbpAU0njAIAACBDrsqo\nug3MK1etKNmagNZDGAUAAECGXD2jNDAHCkEYBQAAQIZclVHZ2/T0jAKaThgFAABAhqrq6ozn6cqo\nduUZr2tgDjSHMAoAAIAM2ZVRbSMiorx9ZmXUCtv0gGYQRgEAAJAhZ8+oOg3MV1RpYA40nTAKAACA\nDDl7RmlgDhSAMAoAAIAMuSuj6mzTqxJGAU0njAIAACBDrsqo8vZ1G5jbpgc0nTAKAACADHUro9Lb\n9OpURtmmBzSHMAoAAIAMdSujcjUwr6xaWbI1Aa2HMAoAAIAMuSqjyrMamAujgKYTRgEAAJAhqzKq\njW16QOG0a+kFtLTKysqYM2dORER06dIlevbs2ax55s+fHx06dIguXbo0ey2FmAMAACBfuSuj6jQw\nt00PaIZ1rjLqww8/jBtuuCG+/e1vx3bbbRfdunWL9ddfP9Zff/0455xzmjTXa6+9FkceeWRUVFRE\nr169oqKiIgYNGhRnnXVWzJ8/v2RzAAAAFNKq6uqM5//rGZVZGbVi1cpIpVIlWxfQOqxzlVEnnXRS\nPPvss+nn5eXl9YzO7aabboqTTz45qqpWl6V27949KisrY8aMGXH55ZfH7bffHk8++WQMHz68qHMA\nAAAUWnZlVNuIiGjbpm20a9M2VtWsDqtSqVRUVa/K2r4HUJ91rjJq+PDh8fWvfz3+/Oc/x0svvRSz\nZ89u8hzjx49Ph0gjR46M1157LRYsWBDLli2L2267Lbp27RozZsyI/fffP5YvX160OQAAAIoh1930\nIiI6aGIO5Gmdq4y6/vrrM55XVlY2eY6zzz47qqqqonfv3vHII49Ev379IiKiTZs2cdRRR0Xnzp3j\n4IMPjokTJ8af/vSnOO+884oyBwAAQDHk6hkVsXqr3rIV//sH8xWrqqKiZCsDWoN1rjIqX2+//XaM\nGzcuIiK+853vpEOk2g466KDYZpttIiLi2muvLcocAAAAxVI3jGqXEUZpYg7kRxjVRPfff3/68aGH\nHppz3GGHHRYRER9//HG89dZbBZ8DAACgWOpu02ufsU0vsz+UbXpAUwmjmujVV1+NiIhOnTrFFlts\nkXPcDjvskHVOIecAAAAolhV1AqYO7f7XJ6q8XWbPqEqVUUATCaOa6P3334+IiA022CDatMn99g0d\nOjT9+L333iv4HAAAAMWypHJZxvOKjp3Tj8s1MAfytM41MM/XvHnzIiKiT58+9Y6rfXz+/PkFn6Mh\n9Y1fsGBBk+YCAADWLUtX1BNG1amM0jMKaCphVBMtWbIkIiI6duxY77hOnTplnVPIORrSq1evJo0H\nAACIiEilUrG01t3yIiK6lP/vd5MO7TJ7Rq1YVVWSdQGth216TbRmW10qlap3XE1NTdY5hZwDAACg\nGJatrMz4XaVj+/LMu+nZpgfkSWVUE1VUVMS8efNi2bJl9Y5bvvx//5JQUVFR8DkasmYrYJIFCxbE\nsGHDmjQfAACwblhap19Ul1pb9CJs0wPyJ4xqov79+8eUKVNi5syZ9Y779NNPM84p9BwN6dmzZ5PG\nAwAARGT3i6q9RS8i8856Edl33gNoiL1fTbTppptGRMS0adNixYoVOcdNnDgx65xCzgEAAFAMWXfS\nK69TGdVeZRSQH2FUE40aNSoiIqqqquLFF1/MOe7ZZ59NP95hhx0KPgcAAEAxLKnnTnoREeV1Gpiv\n1MAcaCJhVBMdfPDBUVZWFhERt9xyS+KY6urquOOOOyIiYrvttoshQ4YUfA4AAIBiWFpZ9056mWGU\nbXpAvoRRTTRw4MA46qijIiLiH//4R7z22mtZY373u9/FlClTIiLirLPOKsocAAAAxbBkxdKM51kN\nzG3TA/K0zjUwX7ZsWcad5mr3bFq2bFlMmzYt/bxNmzYxcODArDkuvfTSeOyxx2L27Nmx9957x69/\n/evYY489YunSpXHTTTfFH//4x4iI2GeffdKhUzHmAAAAKLRlK+pWRmU2MO9c5/nSOuMBGrLOhVG3\n3nprfPOb30w8dtttt8Vtt92Wft6lS5dYsmRJ1rghQ4bEmDFj4tBDD41p06bFaaedljVmr732irvu\nuiu9Ha8YcwAAABRaVgPzOpVR3TtVZDxftGxx0dcEtC7rXBjVpUuXGDRoUKPH5vLFL34x3nrrrfj7\n3/8eY8eOjalTp0Z5eXkMHz48Ro8eHUcccUSDIVIh5gAAACikpXUbmNfpGdWtc9eM5wuEUUATrXNh\n1NFHHx1HH310Qebq3r17nHXWWXn1dCrEHAAAAIVStzKqbs+oHnXCqEXLhVFA02hgDgAAQFpWGFW3\nMiprm152axOA+gijAAAASKvbkLxuA/PudSqjFqqMAppIGAUAAEDa0gYamKuMAvIljAIAACAtq4F5\nx8wbO6mMAvIljAIAACBtyYq6PaMyt+l17dgl467fSyqXxarqVSVZG9A6CKMAAABIq9szqu42vTZt\n2mRv1Vu+tOjrAloPYRQAAABpde+m17nO3fQiEvpG2aoHNIEwCgAAgLRlWT2jssOorL5RmpgDTSCM\nAgAAIK1uZVSFyiigwIRRAAAARETEiqqVUVWrGXm7Nm2jQ7v2WeO6d6pbGSWMAhpPGAUAAEBEJDUv\nz7xz3hrduwijgOYTRgEAABAREUsqM++K16W8U+K47nW26ekZBTSFMAoAAGj1ps+bFQde9s3Y5Pt7\nx6/v/UtLL2etVbcyqktC8/KIiG51GpjrGQU0hTAKAABo9f7yn1vi5Y/fjMWVS+NPD/8z3pvxcUsv\naa20tBF30otQGQXkRxgFAAC0en9/8s6M53ePf7iFVrJ2q3snvVzb9FRGAfkQRgEAAOuctm38KpRk\n7uL5Gc97dumeOC6rMmq5yiig8fwEBgAAWrWq6lVZr3WvU9nDarMXz8t43rdbr8Rx3Tt3y3i+yN30\ngCYQRgEAAK3azAWzs15bVVPdAitZ+322cG7G875dc4VRmZVRC4RRQBMIowAAgFZt+rxZWa8tq3PX\nOFabXWebXr/uvRPHdeuUWVm2UBgFNIEwCgAAaNWmz5uZ9drSSmFUktmLMiuj+uSojOpZkdlLau7i\n+VFTU1O0dQGtizAKAABo1abPT6iMWimMSjJ7UeN6RnXu0DF61OobtaqmOubUqaoCyEUYBQAAtGrT\nkiqjbNNL9Fmdyqh+3ZK36UVErNezb8bzpNAPIIkwCgAAaNX0jGqc6prqmLt4QcZrfbr2zDl+YM/+\nGc8/nf9ZMZYFtELCKAAAoFVLCqNURmWbt2Rh1KT+1/epR+duUd6+Q87xA3v2y3g+Y4EwCmgcYRQA\nANCqJTUw1zMqW93m5X275a6KiohYr0dmGKUyCmgsYRQAANBqLVq+JBZXLs16XWVUtrrNy3PdSW+N\n9epWRgmjgEYSRgEAAK3WzAWzE1/XMyrbZ3XCqH7dczcvj4gY2COzgbnKKKCxhFEAAECrtWj5ksTX\nVUZlq1sZ1beByqiBvTIbmOsZBTSWMAoAAGi1Fi5bnPj6cmFUls+yekY1sE2vTmXUzAWzo6amJsdo\ngP8RRgEAAK1Wrsqo5VUrorqmusSrWbvNWVynMqpb/dv0Kjp2iW6dKtLPV66qirlL5hdlbUDrIowC\nAABarVxhVETE8pWVJVzJ2m/WwjkZzxuqjIpIamKe3KMLoDZhFAAA0GotWpY7jNI3KtOkz6ZlPB9c\npydUkoE9MsMoTcyBxhBGAQAArdbC5ck9oyLcUa+2yqoVMX3+rIzXhvYd3OB5g+oEVpNmTy3ouoDW\nSRgFAAC0WvVt01MZ9T+fzJ4eqVQq/XxQz/7RqUPHBs/beMAGGc/f/3RSwdcGtD7CKAAAoNWqf5ve\nshKuZO026bPMiqZh/ddv1HlfGLhRxvP3pn9csDUBrZcwCgAAaLXq36angfkaE2dNyXg+rN+QRp33\nhYHDMp5/MHNS1NTUFGxdQOskjAIAAFqtxcuX5jymMup/siqj+jWuMqp/9z7RvXPX9PNlK5bH1Hkz\nC7o2oPURRgEAAK3WwmX1VEatVBm1xsSsbXqNq4wqKyvLqo56f4atekD9hFEAAECrVW8D80qVUWs0\ntzIqImLEesIooGmEUQAAQKtVXxilMmq1JZVLY9bCOennbdu0jSF9Bjb6/BF1KqPemzGxYGsDWidh\nFAAA0CqtXFUVy+sJnJauWF7C1ay9Ppw5OeP5kN7rRfu27Rp9ft1teu9M/6gg6wJaL2EUAADQKtVX\nFRWxutk2Ea9+8k7G8y8M3KhJ5282eOOM5+/N+DgWLF2U97poWXc8PyaO//NZ8edHb47qmuqWXg6t\njDAKAABolRbV07w8Qhi1xiuT3s54vu2Gmzfp/J5dumcEWKlUKl6c+EZB1kbLeGXS2/G9f14U/3nz\n2bjonqvivpcfa+kl0coIowAAgFZpUeXSeo8vWymMioh4rU5l1DZNDKMiInbaZJuM5y98+Gpea6Jl\nXT72+oznl95/TQuthNZKGAUAALRKDVVGLa0URi1Yuig+mvW/nlFlZWUxcoMvNHmeUZuMzHj+wkev\n5bkyWtKLH72e8XzKnBkttBJaK2EUAADQKi1cltkzqlOHjhnPVUZFvDb53YznI9YbFhUduzR5nrqV\nUa9Pfi+WVi7La220nBVVK1t6CbRywigAAKBVWlyZGUYN6tk/4/mCBiqn1gXZ/aI2a9Y8/br3jo36\nD0k/r66pjuda8Va9t6Z+EL+4+8q4e/zDkUqlWno5BZVKpWLFquwwqqampgVWQ2vV+Pt1AgAAfI4s\nrBM2bdR/SMaWtM8Wzin1ktY6z34wIeP5tkOb3i9qjZ1HbBcTZ01JPx/76n9j3y13bvZ8a6sZ8z+L\ng393Wixdsbry67XJ78Yvj/h+lJWVtfDKCmP2onmJr89dMj/6dutd4tXQWqmMAgAAWqVFyzMrozZZ\nb2jG888WzVunb1m/aPmSGP/haxmvfWn4ts2e74CRe2Q8f/j1p6KqelWz51tb/euFsekgKiLib0/c\nEX974o4WXFFhTfxsSuLr0+bNKvFKaM2EUQAAQKtUN4zq361P9OjcLf28uqY65i5eUOJVrT2eeufF\nWFUrjNu4/wYxrNZWu6b60ojtomeX/72/85cuimffn1DPGZ9PD77yRNZrl95/TdbX2+fVxJmTE1+f\nPm9miVdCayaMAgAAWqWZCzK34fXo0i369+iTOWbh7FIuaa3ynzfHZTzfJ88tde3btouvjNw947X7\nXn4srznXNp/MnhZvTv0g6/VlK5bHq3X6b31eTfxsauLr01VGUUDCKAAAoFX6uM52o6F9B8WA7nXC\nqAXrZt+o6prqeOLt5zNeK0R/pwO33Svj+b0v/ycWLF2U97xriwdfeTLnsVc/eaeEKymej2clb9MT\nRlFIwigAAKDVqampiU8+m5bx2ob91o/+dcKoWetoE/On330p5iyen37erVNF7LDx1nnPu9sXvhgD\ne/ZLP1++sjJue+6BvOddWzz02lP/v737Dmvq7N8AfichbNmCAoIKTlx9XeDe1lX3qNW2WketnT/s\ntq22fdvaWq19q9a6atUuqdbZuvdeiAgiiCAiIMjehJzfH5hjAgkkGMK6P9dFOeM5z/M96QHDN8/Q\neS44NtyEkVSd0klclXupCSaOhOoyJqOIiIiIiKjOScxIQV5RgbhvZ2ULZ1sHNHJoqFkuvX4O0/v1\ntGaC6OmOfSCXPfli62YyM7zYd7zGsQ3HgqCoAxOZP8xOx5UY3UPxgmNqfzJKqVQiNuW+1nOcwJyM\nickoIiIiIiKqc6JLzXvTzLUJJBJJmWRUfewZlZKVhn+vafbwea7XM0ar/7leo2FhZi7uxz1MwJ/n\n9hmt/upyPOw8BEEQ91u5N9e4z8SM5Fqf3HyQ+RCFiiKt5+LTmIwi42EyioiIiIiI6pw7pZJRzV2b\nAEDZOaPqYTLq9zN7UKTWU8nXzRvdfJ58iJ6Ks60DJnR/WuPY17vWIrcw32htVIfDoWc09od26A2/\nJi00jtX23lF3dfSKAoCHWWnIyc81YTRUlzEZRUREREREdY62nlEA0KjUanpJtbwni6FyC/Px46Ff\nNY5N6TESEonEqO28NWJmmV5DP+zfbNQ2TKlYWYyjN85pHBvYLgBPNW2rcSw4tnZPYh73sPx5oW7r\nmE+KyFBMRhERERERUZ1TtmeUJwDAzb7UnFH1rGfULye2a0xcbmNhjak9jTdET8XTqRFe6j9R49j3\n//yM0LhbRm/LFC7evo7UnAxx3966ATo3a4dO3prJqNq+ot7dh7p7RgFAZEKMaQKhOo/JKCIiIiIi\nqnNK94xSDdNztXfWOJ6SlaYxZK0uS8/JxP9K9U6a2W8CnGztq6S9159+AS4NHMV9hbIYr25cjJyC\nvCppryr9fnaPxn7/tv4wk5mhU9M2Gsevxd7UmFeqtindM8pSbqGxH5UUa8pwqA5jMoqIiIiIiOqU\nYmUxYpPjNY6phunJZWYaCRJBEPAg46FJ46suX+xcjYdqvaKsLazw8uCpVdaeg40dvp76rsaxm/dv\n441Nn9WqhE1Ofi52XT6scWyi/zAAgI+rFxpY2ojH03MzEZN8z6TxGdPdFM1k1AA/f439W+wZRUbC\nZBQREREREdUp1+NuoUBRKO472djD0eZx75/SK+pVNE9OXXAuMhibT/6tcWz+kGlwtnWo0naHP9Wv\nzGTme64cwSfbVtSahNSuK0eQq9abq7FDQ/Rr2x0AIJVK0cG7tUb54NjaO4l56Z+FAX4BGvvsGUXG\nwmQUERERERHVKUdCz2rsB7T8j8Z+i0ZNNfavxtyo6pCq1cPsdMxb/5FG8sfHzQuvDplukvaXPPsO\n2nj4aBz76cjvWBS0Akql0iQxVJaiWIGVpYY2TvIfDplUJu538tYcqhdcS+eNKlYWIz41UeNY/1LJ\nqOiku1DUk2GtVLWYjCIiIiIiojrl6A3NZNTAdpp/UHdu5qexf/lO3U1GFSqKMG/dR0gotWrgV8++\nDQu5uY6rjMvG0ho/z/sGzmrDIwFgzeHfMWfdQuTk55okjsr47cwejd5AUokUU3qM1ChTdkW92tkz\nKiE9GQplsbjvZOsADyc3NLRzEo8VFStwN6X8Sc6J9MFkFBERERER1RlpORllkkv92mrOe9O5eXuN\n/cvR16s8rupQrCzGW798jhM3L2ocnz9kGnq37mrSWLxd3PHnG9/DwdpO4/ieK0cw9MsZuFIDE4LJ\nman4evdPGscmB4wQ5x9T6VQqGRUSexOFiqIqj8/YSieZvJzdAQC+bt4axzlUj4yBySgiIiIiIqoz\njoddgFJ4PPSrjYcP3B1dNcr4ebbQWCUsIT0Z99MemCxGU1AUK/D6z5/irwv7NY53bd4e741+uVpi\n8vNsgW1v/g+udporGkYlxWLE17OwYMuXeJidXi2xlVasLMb8DZ8gOTNVPGYpt8Dbo2aXKevh6AY3\nexdxP6+oAGdvXTFJnMYUFh+lsd/EuTEAoEXjphrHr8fdMlVIVIcxGUVERERERHWCIAhYf/RPjWOl\nJ2AGAHMzOTp4tdI4dqkO9Y5Kz8nEtJWBZRJRzRp6YuO8ryGXmVVTZEB7r1bY++46tHbXnENKEARs\nObUTPT+ehG92r0WK2qp/pqYoVuCNTdp7lJVObAKARCIpMxR0f8jJKo2xKpROoKmGH3b00pyg/WDI\naZPFRHUXk1FERERERFQnnIsKxsVSSaWxXYdoLfufZu009i/eDqmyuEzpyp1QDP1yBo6Fndc43tih\nIX57/Tu4lJq3qTo0cW6Mfe+tx9Seo8qcS8/NxLd716PLB2Pw9tavcPF2iElX3UvKSMG0lYEIOv+P\nxnH/Fk/hreEzdF43tENvjf39IadqzWqBAKBUKnGmVDKqZ6vOAIBB7XtqHA+ODUNiqTnIiAzFZBQR\nEREREdV6SqUS3+xeq3FsgF8A2jVpqbV8l+aayahdlw+jqBavEpaRm4WP/lyOUd/MRWxKvMY5Lxd3\n/L1gDZo29Kym6MqyNrfEsukf4s83vi8zJxEA5BcVYPPJvzHqmznotnAcFv/1PxwPO4+8wvwqiScj\nNwv/+/cX9Fn8bJlEXiP7hvjxpU9hVk6Pst5tumkM/YxPTSwz7K0mu3n/NtJyMsV9OytbtGvSAgDg\nZu9SZpL2AyGnTBof1T3V1z+TiIiIiIjISH468nuZnh1vDHtBZ/n+bf1hY2GNnIKSldySMlJw6Ppp\nDOvUt0rjNLaiYgX+OLMHX+5ag4dahrZ1ad4eG+Z+BVd7Zy1XV78+bbrhyEdbsObwb/jfv78gMy+7\nTJm4hwlYfXArVh/cCku5BTo1bYtO3m3QybsNWrk3Q9OGnrAytzSoXaVSiegHcbgaE4bDoWew/9oJ\n5BUVlCnn6dQIQW/9gEYODcutz9rcEn3adNVI0mw79w/8JrQwKK7qcjpC82fHv0UnyKQycf/pjn1w\nNSZM3P8n+Die7zPWZPFR3cNkFBERERER1WpHbpzFf3es0jjWu3UXdPftpPMaG0trjO82FL+c3CEe\n23zy71qTjMopyMNvp3dh9cFfEZ+WpLXMjL4TsGjC67CQm5s4OsOYm8nx2tDnMaPveGw5tRNrD/+h\n857yiwpwLvIqzkVe1Tju4egGNwcXuNo5w6WBI2wsrGApt4DcTA5FsQKFiiJk5+ciKSMFSRkPEZUU\ng+z83HLj8m/xFFbPXIzGWuaJ0mZ4p34ayaitp3ZiwciXYGtpo9f11en4zQsa+z1a/kdjf0iH3vhy\n54/i/tGwcwiNu6Wz5yFRRSRCbRrISkaRlpYGJycnAEBqaiocHat/3DgRERERUWVsv7Afb/7yOQoV\nReIxe+sGOLxwMzydGpV7bcjdmxjyxYsax/4O/BH+LTpVQaRPThAEXI0Jw+9n9uDvSwe19iICSuZk\n+nLK2xjUvoeJIzSOomIFDl0/je0XDuDg9VPI19JjqSrZWdnireEzMGfgFI3eQRXJK8xHlw/HavRQ\n+3Tim5gzcEpVhGk0Mcn30OPjSRqrUB78YBPaq03yLwgCBn/xAkLVVtIb2K4Htr66zKSxUvUxdh6B\nPaOIiIiIiKjWSUxPxuc7ViLo/L9lzi197v0KE1EA0MGrNTp6t8G12HDxWOCWL3Dow18MHvZVVYqK\nFbgQdQ0HQk7iQMgp3Em+p7OspdwCrz39PF4Z/FyNib8y5DIzDOvUF8M69UVWXg4O3ziDE+EXcDz8\nIuJTE6usXQ9HNzzXazRm9BsPRxt7g6+3MrfEi33G4du968VjKw9sweSAEbC3bmDMUI1qzaHfNRJR\nbT18y/R4kkgkePeZuZi+MlA8djj0DP6+dBBjugw2WaxUd7BnVA1x584d3Lt3DxYWFmjevDlcXFyq\nrC32jCIiIiKi2iri/h1sOvEXfju9W+scP19OWYAZ/SboXd/piMsYv3y+xrEhHXph3ZwvYW4mf+J4\nDaVUKhGREI1zkcE4FxWMY2HnkZGbVe41lnILTOkxEvOHTEMT58YmitT0BEHA3YcJuBYbjmux4bhx\nLxLRD+IQ9zChUivXOVjboYNXKzzVtC0Gte+J/zTzM6gnlDbJmano+uFYjd5c03uPwTfPvfdE9VaV\nuIcJ6LNoisbP0v9e/AQT/YeVKSsIAsZ8+zLOR10Tj1nKLbDtzf+hq08Hk8RL1cfYeQQmo6rZH3/8\ngcWLFyM8/PGnMVKpFIMGDcKyZcvg5+dn9DaZjCIiIiKi2kJRrMDlO6E4EnoWh2+c1RgmpM7CzBxf\nTX0Hz/YYaXAb72xdojF3FFAyX9D3L3wELxf3SsWtD0EQcDflPkLv3UJoXCRC7t7EpejrFSafVJwb\nOGJaz2cwa8AkNLSrmROUm0JBUSHupSYiOTMVDzIfIjU7HflFBcgrzEehQgG5zAxyMzNYmVvC1c4Z\nbvbOcHd0g6dTI0gkEqPH89XOH/HdPz9rHPtx1mc1rgeRoliBsd/Ow8Xo6+Kxxg4Ncf7z7ToTscGx\n4Rj19WyNlSctzMyxZOo7mBwwokpeT6oZmIyqQxYuXIj//ve/AABbW1t07NgROTk5uHbtGgRBgKWl\nJf755x/069fPqO0yGUVERERENVFmXjbuPLiHG/du4VrsTVyPi0DYvagK5wxq7e6DlTMXwc+zciuX\nZeXlYPiSlxCZGKNxXNXjaJL/MHTybgupVGpw3YIgICM3C9EP4hCTfE/je2RCDLLycwyqTy4zwwC/\nAEzpMRKD2veEXMaZV2qa/KICDPr8eUQlxYrHzM3k2DTvG/T386/GyB4rKlbgrV8+LzPMVZ+ehb+d\n2YO3fvm8zPGerTpjwchZ8PftxKRUHcRkVB2xa9cujB49GgAwevRobNq0Cfb2JeOSQ0JCMHr0aMTE\nxMDR0RG3bt0y6rA9JqOIiIiIyJQEQUBWfg4eZDxEUkYKHmQ+FLcT05MRkxKPmOR4pGanG1RvI/uG\neGPYC5jeewzMnjApk5SRgnHLXsHtpLtaz9tbN4CfZwt4OjWCh5Mb7KxsITeTQy4zQ0FRIbLzc5FT\nkIucgjyk5WQgKT2l5P4yUpBXmP9EsTnZ2GNg+54Y2qEX+rXtXitWZ6vvLt4Owdhv50GhLBaPyaQy\nLBr/Ol7qP7FSiU1jiXuYgDd/+RynIy5rHB/gF4At87/VK7Zv967HN7vXaj3n4+aFUf8ZgJH/GYC2\nHr7Veq9kPExG1QGCIKBt27a4efMmmjdvjtDQUFhZWWmUuXjxIrp37w5BEBAYGIilS5carX0mo4iI\niIhIX0XFCuQW5JV8FeYjtyAPOQV5yC18fCwzNwvpuVnIUP/Ky0ZGbiYyc7ORmp2udX6nypBIJOjV\nqjOmBIzEqM4DjTqv04OMh3jt58U4Hn6h4sJVyMHaDt18O6CbT0f4t+iEp5q2feK5jMj0tp37B6/9\nvLjM8e6+HfHxuNfQuXk7k8ZzP+0B1h35AxuP/1UmQeru6Ir97/+MhnZOetf357l9eHvLVyhQFOos\nY2/dAJ2btcNTTduiReOmaNGoKZq5NoF1LZ5gv75iMqoOOHv2LHr0KFlm9bvvvsMbb7yhtdzAgQNx\n5MgRuLq6IiEhwWgZZSajiIiIiGoWQRCgFJQoKlaguLgYRcUKKJTFUBQrSo4pHx0r1nZMgQJFEQoV\nhShUFCG/qLBku6gIBYpCFCgKUVhUqL2M4lGZokfbRQViwkn1XX1umOriaueMXq06Y0C7APRr6w+X\nBlX3/lWpVOLX07uwfN9GxKclVVk7KnZWtvDzbIF2TVrCz7MFOnq3QavGzdibpI5Yd+QPfLTtO60T\nrHdp3h4Tuj+N0V0GVWr1vooIgoCopFgcDj2Dw6FncDriisaqeSreLh74843v4d3Qw+A2bifdxQe/\nLzU4gevh1Agejq5wtXdBI3sXuNm7wM3BBa52znCwsYO9lS3sre1gZ2XzxL0eyTiYjKoD1OeKioyM\nhK+vr9Zyy5YtQ2BgydKZ586dQ/fu3Y3SPpNRRERE9YsgCGKyQ0DJH9uqbUGphAABSvUyAh59V99+\nVAYClMpH16od1ygjCCXnHrWlXr8gKHW09ei8Wv1KQQmlsuSYIChRrFSiWFmMYmVJ+WJlMYofHS97\nXrWvRLFQ/Li8Ukt5QQlBKaBYKDlf0u7j80pBgLLctsrGop44UiWVNJJLWhJOVDKvjpezO3zcvNDe\nqxU6eLVGR+/WcLOvupWmdSlUFGFf8DHsvnwEJ29eRGZedqXrspRbwMvFHc0aeqKZaxM0c/VEc9cm\naObaBB6Obpxfp477N/gE5m9chJyCXK3nzaQydGraFt19O6KbTwe0aNQUXi7ueidhlEolkjJSEJty\nH7Ep8YhOuouQuxG4dvdmhUNfe7XqgpUzFz3Rz5ggCDgXFYwfD/6KIzfOGv33ma2lNeytGsDeugFs\nLKxgbWEFK3NLWJtbwtrCCtbmVrC2sHx0rGTbQm4OczNzWJjJYW5mDnMz+aNjct3HZXImgcvBZFQd\n8Mwzz2D37t2ws7NDRkaGznInTpxA3759AQA//fQTZs+ebZT2a3MyKioxVo83AhU/0vo+9YJedRmn\njP7tGaeekrqMdH96tQa9gjf0NdfY1lUGOsqrXaCrDCq4VmfdT9CmxmugT3md7ZZ/rT6vne77f5LX\n3bBrUcHrV9ted/Xtqnrd1f8fC+J31UMrQBBKlYMqSaBZhwBBbOhxmcd1qdejfk8l29rjKN2e5v9H\n3XGUrl/znrTdd9n6VXGgTByP/0+VaU+jbi2vq0ZdZeNAeXGUak/juRCTMqoEUqkkj1A2QSQolWWS\nRaoyRDWBldwCrvYucLVzevS9ZFUzV3tneDm7w7uhB9wdXWvkcDSlUonbD+7ibsp9xKcmISH9gdhr\nTFFcDHMzOWwtrWFjYQ1rCyvYWdmikYMLXO1c4GbvDHvrBkw41XP3UhPxztYlOHLjrF7lzaQyeDg1\ngpOtPZxsHWBtbgWpVAIJJMgrzEdGXjYyHw2HTclMLXeonDauds5YMHIWpvUabdQETHpOJvaHnMTe\nq0dxLjL4iZK41cFMKoO53BzmMjnMZDKYSc1gJpNBLjODmUxzWy4zg0xa/r6qDrnMDDKNa2WYHDAS\n7o6u1X3LejN2HoH93apBVFQUAMDb27vccurnIyMjqzSm2uKjbctx9Ma56g6DiIiIqN6QSqSwtijp\ncaDqlVC6R4KdVQM42JT0XLCzagAH6waws3703coWjjb2sLW0rrUJGalUihaNSua7IaoMT6dG2Prq\nMpyOuIzl/2wsM3l4aQplMWJT4hGbEm/UOPw8W2Bar9GY0mMkrKpg3iYHGztMDhiByQEjoFQqEZkY\ni0vRIYi4fwdRSbGISopF3MOEGvtBiUJZDEVBHnKRV+Vt9W3TvVYlo4yNyahqkJ6eDgBwcHAot5z6\n+fJ6UGmTlpZWYftEREREVHNIJJIyn6ybPdpWfaKu65y5mRyWZhYwlz8egqJtmIrlo2PqQ1MszCxg\nIZeLw1ceJ5weDXcxM6+1SSSimkQikaBX6y7o1boLYlPuY/uFf7H9wn5EJsZWWZtW5pbw9+2EAX4B\nGNAuAD5uXlXWVmlSqRSt3JuhlXszjeP5RQWIe5igseLkg0ffU7LSNBZCqG09qwxhJqt5vUBNicmo\napCbWzJW2NKy/Ey0+gp7OTk5BrWh6j5HREREBJT8ESSBBFKJBFKpVNyGRAKpRAqJBI++lxyXQAKJ\nVCpuq5eBqozqWpT80SGVSABo1i9RKyuRPDou1bxOAtX5srGo4pZJpZBKpCXfpTLNfYkUMqkMUomk\n5PujWFTbMolU7Xupa6VSyCQySKWSR9+lOtp6VJ+k7HnVOdVxqVSqkThSfdeaVJLKxOEcnKuEqP7w\ndnHHW8Nn4q3hM5GQ9gDno67hfNQ13Lx/G7eT7uJB5kOD6nOwtoOXi3vJl3NjtPbwQQev1mjRyLvG\nDX21lFvo3dOwWFmMrLycRyt0ZiG3IB+5hXnIK8zXuq1afKH0og0a248WbChUaJYpVBRV/c2rkdfz\nidnr991XE7m8ZPlZhaL8id2Kih7/MJibm1dpTLWFj6sX0rIzKyynz4d3+n7CJ0HF5fSpS9/PE/Wq\nS6/29GzRSLHr/XoaKXb1atTLq9evsQ2NCwy8FjqOS8ptRyNGjfuuOEZd1+qMV1eMFbSrz3U646qK\n172Sr4Gu62Ck187Yr7v60Sp73SWPt1V/zKuKPN6XqD3HJf9Rf64lqu9qr7P68cftPj4OtWs02lRL\nNqjHqDr+uAxKxSXROC7WVip29XtSvb7qcagKar+nUnGUih1qsWu0WeaeNF+P8u8JZdpTxac6JpVI\nNRM+EpQkc9SSRRpJH+mj5I56GfFaff8VIiIiU2vs6IoxXQdjTNfB4rGsvBwkZaQgLScDqdnpyC8q\nFBdLsDS3gL1VA9hZl6w452hjBzsr22q8g6ojk8rgYGMHBxu7Km9LEAQxKaVaqVShtmpp6VVM1Vc3\nVV+MovSCFbpWQXVpUL87kDAZVQ1sbW2RkpIi9pDSRb03lK2tYb9cUlNTdZ5LT09H8+bNDaqvpvh8\n8v9VdwhERERERERVqoGVDRpY2VR3GPWKRCKBhdwcFnJ2BDEFJqOqgaenJ2JiYhAfX/5kdOrnPTw8\nDGqjNq2QR0RERERERET1BwemV4M2bdoAAO7fv4+srCyd5SIiIsTttm3bVnlcRERERERERERVjcmo\natCnTx8AgFKpxKlTp3SWO378OABAJpMhICDAJLEREREREREREVUlJqOqwciRI2FhYQEA2LBhg9Yy\nubm5+PPPPwEA/fr1g4uLi8niIyIiIiIiIiKqKkxGVQMHBwe88sorAICgoCDs2rWrTJk333xTnIT8\nww8/NGl8RERERERERERVRSIIglDdQdRHGRkZCAgIQHh4OORyOebOnYt+/fohJycHmzdvxqFDhwAA\ns2fPxk8//WTUttPS0uDkVLKMZGpqKic7JyIiIiIiIiKdjJ1HYDKqGsXFxeHZZ5/F6dOny5yTSCSY\nP38+li9fDjMz4y56yGQUEREREREREenL2HkE42Y5yCBNmjTBiRMncPDgQezbtw9xcXGwsLBAy5Yt\nMWnSJPj5+VV3iERERERERERERsWeUfUQe0YRERERERERkb6MnUfgBOZERERERERERGQyTEYRERER\nEREREZHJMBlFREREREREREQmw2QUERERERERERGZDJNRRERERERERERkMkxGERERERERERGRyTAZ\nRUREREREREREJsNkFBERERERERERmQyTUUREREREREREZDJMRhERERERERERkckwGUVERERERERE\nRCbDZBQREREREREREZkMk1FERERERERERGQyTEYREREREREREZHJMBlFREREREREREQmw2QUERER\nERERERGZDJNRRERERERERERkMkxGERERERERERGRyTAZRUREREREREREJmNW3QGQ6SmVSnE7PT29\n+gIhIiIiIiIiohpPPXegnlOoLCaj6qHMzExxu3nz5tUYCRERERERERHVJpmZmXB2dn6iOjhMj4iI\niIiIiIiITEYiCIJQ3UGQaSkUCsTFxQEA7OzsIJUyJ0n6SU9PF3vTRUdHw8HBoXoDIjIhPv9Un/H5\np/qKzz7VZ3z+SZ1SqRRHWTVp0gRmZk820I7D9OohMzMzNGvWrLrDoFrOwcEBjo6O1R0GUbXg80/1\nGZ9/qq/47FN9xuefADzx0Dx17BJDREREREREREQmw2QUERERERERERGZDJNRRERERERERERkMkxG\nERERERERERGRyTAZRUREREREREREJsNkFBERERERERERmYxEEAShuoMgIiIiIiIiIqL6gT2jiIiI\niIiIiIjIZJiMIiIiIiIiIiIik2EyioiIiIiIiIiITIbJKCIiIiIiIiIiMhkmo4iIiIiIiIiIyGSY\njCIiIiIiIiIiIpNhMoqIiIiIiIiIiEyGySgiIiIiIiIiIjIZJqOIiIiIiIiIiMhkzKo7ACIyvfT0\ndGzfvh1XrlxBWloa3Nzc0Lt3bwwfPhwWFhZV0mZxcTHmz5+PlJQUAEBAQAACAwOrpC2i8kRHRyMo\nKAiRkZEoLCyEl5cXRowYAX9/f6O39eDBA+zcuRM3btxASkoKXF1d0aJFC4waNQqenp5Gb4+oPIIg\n4PTp0/jnn39w7949WFhYoGXLlpg4cSK8vb2N1k5CQgJ27dqF69evIzU1FXK5HI0bN0b37t2r9N8Z\nIl0KCwsRHByMCxcu4NKlS8jOzgYALFiwwOi/+/Pz87Fnzx6cPn0aycnJcHR0ROfOnTFu3DjY2dkZ\ntS0ifaSnp+PixYs4f/48QkNDoVAoAABbtmyBpaWlUdpITEzEiRMncOvWLSQkJCAtLQ329vbw8/PD\niBEj0KxZM6O0Q3WMQET1yh9//CE4OjoKAMp8+fr6CufPn6+SdpcsWaLR1vjx46ukHSJdioqKhMDA\nQEEqlWp9/ocPHy48ePDAKG1lZ2cLgYGBgpmZmda2JBKJMG/ePKO0RaSP+/fvCwMHDtT6PMpkMmHh\nwoWCUql8ojaKioqE//u//9P53AMQ3NzchO3btxvprojKl5eXJ3Tr1k0wNzfX+jxu27bNqO2dPn1a\naNq0qda2nJ2d+eyTSZ06dUpo1aqVIJFItD6TWVlZT9xGdHS00Lp1a52/8wEIUqlUeOGFF4T09HQj\n3BXVJRJBEAQj57eIqIbavn07JkyYAEEQ0LRpU8ydOxeenp64fv061qxZg4yMDNjb2+P06dPw8/Mz\nWru3bt1Cx44dIQgCCgsLIQgCxo8fj6CgIKO1QVSRuXPn4qeffgIA9OnTB1OmTIGlpSUOHz6MX3/9\nFYIgoGvXrjh+/DisrKwq3U5WVhaGDRuG06dPi22NHDkSHh4eyMvLQ2hoKHbs2AFfX18cOnTIKPdG\nVJ7MzEz06tUL169fh0wmw/PPP48+ffogJycHW7Zswblz5wAAgYGBWLp0aaXbmTlzJjZu3AgAaNy4\nMWbOnAlfX1/k5OTg4sWL2Lp1KxQKBaRSKXbt2oURI0YY5f6IdMnOzkaDBg1gbm6ODh06oFu3bhAE\nAatXrwYAbNu2DRMmTDBKW8HBwejduzeys7Ph5OSEl19+GW3atEFsbCzWrFmDuLg4yGQy7Ny5k88+\nmURQUBAmTpwIe3t7dOnSBd27d8fZs2dx9OhRACXvV2xtbZ+ojeDgYDz11FMAABcXFwwfPhzdunWD\nk5MT7t27h19//RXBwcEAgG7duuHYsWNP9B6L6phqTIQRkQmlp6cLzs7OAgChXbt2Qmpqqsb58PBw\nwd7eXgAg+Pv7G63d4uJioWfPngIAYfHixYJMJmPPKDK5Q4cOiZ/QzZo1q0wPkA0bNojnFy1a9ERt\nTZgwQQAgyOVy4bffftNaRqlUCrdu3Xqidoj0FRgYqLMnSHFxsfDss8+K58+dO1epNsLCwsQ6OnTo\nIGRnZ5cpc/r0aUEulwsABD8/v0q1Q2QIhUIhnDt3TsjPzxeP7dixw+g9o5RKpfDUU0+JPaCioqI0\nzicnJwstW7YUewdq+/kgMraEhAQhPDxc4z3P3Llzjdoz6urVq4KHh4ewdu1aIS8vr8x5hUIhzJkz\nx2jvsahuYTKKqJ748ssvxX8ITpw4obXMt99+K5Y5dOiQUdr97rvvBABCmzZthIKCAiajqFr07dtX\nACC4uLgIOTk5WssMHjxYACA0aNBAyM3NrVQ7e/bsEX+Gli9f/gQRExlHWlqaYGlpKQAQxo0bp7VM\nenq60KBBAwGAMHLkyEq189NPP4nP/u+//66z3Lhx48RyaWlplWqL6ElURTJq9+7dYp2rVq3SWmb/\n/v1ime+++84o7RIZytjJqMzMTJ3vq1QKCgoEd3d3AYDQvHnzJ26T6g6upkdUT2zbtg0A0LJlS/Tu\n3VtrmRkzZkAmk2mUfxLR0dH44IMPIJFI8NNPP8Hc3PyJ6yQyVFJSEk6ePAkAmDp1KqytrbWWmzVr\nFoCSbuv79++vVFvLly8HAHh4eOC1116rVB1ExrR7927k5+cDePyMl2Zvby8OVTpw4AAyMzMNbkcq\nffyW0t3dXWc59Yn7JRKJwe0Q1USq90zm5uaYPn261jKDBw+Gl5eXRnmi2q5BgwY631epmJubi397\nREdHo6CgwBShUS3AZBRRPZCdnY2rV68CAPr166eznKOjIzp06AAAOH78+BO1KQgCZs2ahdzcXMye\nPRu9evV6ovqIKuvUqVNQKpUAyn/+1c9V5vl/8OABjhw5AgCYPHmymNglqk4nTpwAAMhkMp0fRACP\nn//CwkKcPXvW4Ha6dOkibp8/f15nOdW5Fi1awN7e3uB2iGoi1c9Zly5ddM7BI5FI0LdvXwDAuXPn\n+Ac51StFRUXitsApq+kRJqOI6oGwsDDxF3+bNm3KLdu6dWsAQFRUlMY/HIb68ccfcfToUTRq1AhL\nliypdD1ET+rGjRvidnnPv6urKxwdHQGU/MwY6vz58+LPWc+ePQEAx44dwzvvvINp06Zhzpw5WLFi\nBWJiYgyum6iyVM+/p6dnuRPVqn73A5V7/jt27Ihp06YBABYvXowDBw5onM/Ly8O7776L8+fPQyKR\n4Ouvvza4DaKaKCcnB7GxsQD0f49VXFyMW7duVXlsRDVBUVGR2EO9adOmsLS0rOaIqKYwq+4AiKjq\nxcfHi9seHh7lllWdVygUSExMRJMmTQxu7+7du3j33XcBACtWrICDg4PBdRAZi6HPf1paGu7du2dw\nO+Hh4eK2o6MjBg0ahMOHD5cpt2DBArz++utYsmQJzMz4zzBVLdXzr+/vfgCVev4BYOPGjWjcuDFW\nrVqFoUOHokWLFvDx8UFubi5CQ0ORmpoKb29vrFixAqNHj65UG0Q1zf3798UPIgz9OWvfvn2VxkZU\nE6xatQrJyckAgGeffbaao6GahO+CieqBrKwscdvGxqbcsurns7OzK9Xe7NmzkZWVheHDh2PSpEmV\nqoPIWNSf/4rmNVA9/5V59tPS0sTtOXPmICoqCp06dcK0adPQuHFjxMTEYMOGDbh9+zaWLVuGhw8f\n4ueffza4HSJDqJ5/U/zuNzMzw1tvvQWZTIavv/4akZGRiIyMFM+7ubnhs88+w9NPP12p+olqIlO/\nxyKqTcLCwrBw4UIAJT3Q33777WqOiGoSJqOI6oHCwkJxu6KeGOqTjFdmPoMNGzbgwIEDsLGxwapV\nqwy+nsjYVM+/RCKpcB4n1fNfmWc/Ly9P3I6KisLkyZOxdetWjTbffPNNDBs2DCdOnMCmTZswdepU\nDBkyxOC2iPSlev6r+nc/ABw6dAgTJkxARkYGvLy88OKLL6JVq1YoKCjAmTNnsGXLFjz//PP44Ycf\nsHv3bri6ulaqHaKaxJTvsYhqk9TUVIwePRrZ2dmQSCTYtGmTOB0CEcA5o4jqBfXeIBW9+VH/g7qi\nT/hKu3//Pv7v//4PAPDpp5/C29vboOuJqoLq+RcEocJ50FTPv6HPvno7QMnqMmvWrCmT/LK2tsb6\n9evFlcd++ukng9shMoTquazK3/1AyaffI0aMQEZGBvr374+wsDAsXrwYU6dOxYwZM7B27VqcP38e\nDg4OuHDhAkaNGsVJbKlOMNV7LKLaJCcnByNGjEBUVBQAYOnSpewVS2UwGUVUD6ivWJSenl5u2YyM\nDHHbzs7OoHZeffVVZGRk4D//+Q/eeOMNg64lqiqVef4NffZLtzNw4ECdK4X5+vqK84RUZtUyIkOo\nnsOq/N0PlPyhUVhYCIlEgvXr12v9Q7tDhw746KOPAAAXLlzAwYMHDW6HqKYx1XssotqioKAAY8aM\nwblz5wAAH330kfhhNZE6DtMjqgd8fHzEbdWKL7qozjdo0ABubm4GtXPlyhVxe/LkyVrLKJVKACXL\nGk+YMAEAMG3aNIwZM8agtoj0Vfr5b9iwodZygiAgLi4OQEnCyFAtWrQQt728vMot6+XlhWvXruHB\ngwcGt0NkCB8fH0RFRen9ux+o3PN/6tQpAEDLli3RrFkzneWGDRuGwMBAAMDp06c5TJVqPU9PT1hY\nWKCgoKDKf86IajqFQoFJkybh0KFDAIC33noLn376aTVHRTUVk1FE9YCvry+srKyQl5eHq1evlltW\ndb5du3aVbu/KlSsaiSlt4uPj8ddffwEAunTpUum2iCrSoUMHcfvq1as6n7ewsDDk5+cDQKVWOOrY\nsaO4rT6HiDaq8+rzhxBVhQ4dOmD//v14+PAh4uLidK6Qqv47uzLPv2oyZl09AlXUV1flBM5UF8hk\nMrRt2xZXr16t8D2W6ufMzs6uwg8tiGobpVKJ6dOnY9euXQCAl19+GcuWLavmqKgmYzKKqB4wMzPD\n4MGDsWvXLhw9ehT5+fmwtLQsUy40NFTsGTJ8+HCD21m9ejVycnLKLTN58mQolUr4+/uLn45zaWOq\nSr169YKdnR0yMzOxb98+zJ49W2u5f/75R9yuzPPv4+ODVq1aISIiAiEhITrLCYKA69evi9cQVaVh\nw4bhm2++AQDs27cPc+fO1VpO9fy7urpW6gMCV1dXJCQkVNgz5M6dO+K2rl6KRLXNsGHDcPXqVdy6\ndQu3b9/W+rs9Oztb7EE4bNgwSCQSU4dJVGUEQcCsWbPw+++/AwBefPFFLmREFeKcUUT1xPPPPw+g\nZPn5devWaS2j+oPFzMwMzz77rMFtDBs2DBMmTCj3S/Xmy8PDQzzWqlWrSt4VUcXMzc0xadIkAMCe\nPXtw8+bNMmVyc3PFN01t27atdG+9F198EUDJXFDBwcFay+zcuRP3798HAIwcObJS7RDpq0+fPmja\ntCkAYMWKFVp77V25cgVHjhwBADz33HPiBPuG6NmzJwAgKSkJe/fu1Vlu7dq14navXr0MboeoJpo2\nbZr4c6N6L1Xa6tWrxd6AqvdkRHXF66+/jo0bNwIApkyZgvXr1zPhShUTiKheUCqVQrdu3QQAgo2N\njfDPP/9onFu+fLkAQAAgvPLKK1rruHTpkjB+/Hhh/PjxQlBQUKXikMlkAgBh/PjxlbqeqDLu3r0r\nWFtbCwAEPz8/4c6dO+K5rKwsYdy4ceLzv3PnTq11rFu3Tnz+b9++rbVMbm6u4OXlJQAQmjdvLoSE\nhGicP3bsmODs7CwAEBwdHYWkpCSj3SORLlu3bhWf72nTpgm5ubniuYiICMHX11cAINjb2wsPHjzQ\nWserr74qjB8/XpgxY4bW8zdu3BB/v7u4uAgHDhzQOF9QUCAsXrxYjKNz586CUqk03k0S6WnHjh3i\nc7ht27YKyz948ED83b98+XKd5WbMmCEAECQSibBq1SqN53vnzp2ClZWVAEDo06ePMW6DqFLmzp0r\nPv9ZWVkVlj9w4ID4/B89elRrmffee0+sc9y4cUJRUZGRo6a6SiIIXFeXqL64e/cuAgICxF4ZHTt2\nhKenJ27cuIGYmBgAQEBAAA4fPgwrK6sy1+/ZswejRo0CAHz22WdYuHChwTGYmZmhuLgY48ePR1BQ\nUOVvhshAO3fuxPjx41FcXAy5XI4ePXrAwsICFy5cEFdAeu+99/Dll19qvf7VV1/FypUrAQAXL17U\n2Xvq2rVr6Nu3LzIyMiCVStGlSxc0atQIMTEx4vA9W1tb7Ny5EwMGDDD+jRJpof78Ojs7o2vXrsjO\nzsbZs2fFn4m9e/di8ODBWq/39fXF7du34ezsjJSUFK1l1qxZg1deeUVcqKJly5Zo1aoVCgoKcOnS\nJaSmpgIAGjVqhBMnTmhM+k9UVb799luNlUvv378v7vv7+8PDw0M8FxAQIE4hoBITEyNOyj958mRx\nGFJpOTk56Nu3Ly5fvgygZBh269atERsbi9DQUAAli1ecPXsW7u7uxrtBonJMnz4deXl54v7Vq1cR\nHR0NABgzZgxkMpl4bt68eRg4cKDG9T/++CPmzZsHANi4caPYA1zl8OHDGDRoEABAIpFg1KhRkMvl\n5ca0fPlynfMXUj1T3dkwIjKtxMREYcqUKYK5ubn4KQYAwc7OTliwYIGQl5en89rdu3eL5T/77LNK\ntc+eUVSdzp49K/YQVP9q2rSpsGnTpnKvnT9/vlj+4sWL5ZaNiYkRxo4dK8jlco12ZDKZMGrUKCEs\nLMyYt0WklzVr1gienp5lnv+ePXsKV65cKfdaHx8fAYDg7Oxcbrnjx48L/fv3FyQSSZl2bGxshDlz\n5rBHIJnU+PHjyzyLur60vTe5c+eOeH7y5MnltpWTkyO8+eabgq2trUa95ubmwrRp04Tk5OSquk0i\nrWxsbPR+/teuXVvm+tWrV4vnN27cWOa8ek9Dfb+uX79ugjun2oA9o4jqqbS0NISGhiI9PR2urq7o\n2LGj1knN1SUmJoqTb7Zr1w6tW7c2uN3t27dDqVTC09MT/v7+lYqd6EnFxsYiMjISRUVFaNKkCfz8\n/Cqc2yA4OBhRUVEAgIEDB8LR0bHCdtLS0nDjxg2kpqbC3t4eHTt21FhNjMjUhEcT6N+7dw8WFhZo\n2bKlXp9Q//vvv8jOzoaFhYXYQ7Y86enpCA0NRWpqKuRyORo3box27drBzIxr55BpnTt3Dvfu3dOr\nrLb3Jrm5udi3bx8AoEmTJujevXuF9eTl5SEkJAQPHjyAo6Mj2rdvX+FKk0RV4e+//4ZCodCrbJcu\nXcQ5BlWio6PFVSC7du0Kb29vjfP379/HmTNnDIppyJAhsLOzM+gaqpuYjCIiIiIiIiIiIpPhanpE\nRERERERERGQyTEYREREREREREZHJMBlFREREREREREQmw2QUERERERERERGZDJNRRERERERERERk\nMkxGERERERERERGRyTAZRUREREREREREJsNkFBERERERERERmQyTUUREREREREREZDJMRhERERER\nERERkckwGUVERERERERERCbDZBQREREREREREZmMWXUHQERERERERERU2xQXF0MQBEgkEshksjoR\nh6ouAJDJZJBIJMYIsQz2jCIiIiIiIiIiKkd+fj7Onj2LFStWYOrUqfD19YWZmRnkcjm8vb3rRBx7\n9+4V65LL5VizZo2Roi6LPaOIiIiIiIiIiMqxdOlSfPTRR9UdRpXFkZGRgblz5xq9Xl3YM4qIiIiI\n6rRDhw5h1qxZWLlyZXWHolN0dDRmzZqFt99+WxweQURENYeVlRX8/f3x+uuvY8uWLbh16xb69u1b\nZ+IIDAxEfHw8fH19jRBlxdgzioiIiKrVxYsX9e4GLpfLsXr16iqOiOqSwsJCzJ07F9HR0di/f7/W\nMu+99x5SUlLg4+OD999/v8I6t23bJta1ZMkSODs7P3GczZo1w+XLlxEcHIyOHTti2rRpT1wnEREZ\nT2BgIAIDA6s7jCqJ4+DBg1i/fj2cnJzwxRdfYNKkSUatXxsmo4iIiKha3b59G+vXr9errIWFBZNR\nZJAVK1YgOjoaPXv2xJAhQ7SW+f333xEbG4vu3bvrlYw6f/68+MwuXLjQKMkoiUSCRYsWYcyYMfjg\ngw8wfvx4WFlZPXG9RERE5cnOzsbs2bMBlAwBbNiwoUnaZTKKiIiIaoz58+ejU6dOOs+bmfGtC+kv\nIyMD//3vfwGUJI1qutGjR6N9+/a4fv06vv/+e7z77rvVHRIREVWBuLg4rFixAgcOHMCdO3eQl5eH\nhg0bokePHnj55ZcxePBgk8XyzjvvIDY2Fv369cOMGTNw7Ngxk7TLd3RERERUYwwaNAhjxoyp7jCo\njvjll1+QkZEBd3d3nb2iaprnn38eb7/9NlatWoUFCxZU61LhRERkfOvXr8f8+fNRUFCgcTwxMRHb\nt2/H9u3bMWvWLPz4449V/m/A8ePH8eOPP8LCwqJKV87ThhOYExEREVGd9OOPPwIAnnvuOUilteNt\n79SpUyGVSnH37l3s27evusMhIiIj2rJlC2bNmoWCggIMHDgQBw8eRFZWFoqLixEREYFXXnkFALBu\n3TosWrSoSmPJzc3FSy+9BEEQsHDhQrRs2bJK2yuNPaOIiIioVtq7dy927NgBS0tL/PDDDwCA+Ph4\n/PXXX7hz5w6ysrLw+eefo1GjRhrXhYWF4eDBg7h79y4KCgrg5uaG3r17o2/fvpBIJBW2m5KSgh07\ndiA8PBxSqRRt27bFpEmTYGtri/DwcHz77bcAUKbtqKgofPXVVwCATz75BE2aNNFaf0hICL7//nsA\nFU+OXZl7yc7OxptvvgkAmDVrFvz9/aFQKLBz505cvnwZ2dnZaN68OcaOHQtvb+8KXw8AiIiIwOHD\nhxETE4Pc3Fy4u7vDx8cHw4YNg52dnVhu06ZNOHnyJCwtLfH999+XmyDKz8/H66+/DqVSiREjRmDs\n2LF6xaJy9uxZhIWFAYBJJmIFgIKCAsyfP1/v8mPHjsWIESM0jrm7u6N37944fvw41q1bh1GjRhk7\nTCIiqgapqamYN28eAGDatGn45ZdfNP6tbtmyJVauXImGDRti8eLF+PrrrzFv3jy4u7tXSTwffvgh\nbt++jbZt2+Kdd96pkjbKJRARERFVo99++00AIAAQduzYofd1n332mQBAsLGxEQRBED799FPBzMxM\nrAuAEB4eLpaPjo4Whg4dqnFe/atDhw5CcHBwuW1u2LBBaNCgQZlrHR0dhYMHDwoHDx7U2rYgCMLJ\nkyfFc1evXtXZxu7du8Vyd+7c0VrmSe4lOTlZLLd582bh5s2bQsuWLcvUYW5uLvzwww/lvh63b98u\nNw4rKythyZIlYvm9e/eK5/79999y6968ebNY9sKFC+WW1ebTTz8VAAjW1tZCUVFRuWW9vb0FAEL3\n7t31qjswMFDr/6OsrCydr4W2r88++0xr/e+//74AQLCzsxMUCoXe90xERKbVt29fAYDg4eFRYdkl\nS5aI/zampaXpLJefny/Y29sLACr8d7gycQiCIJw5c0aQSqWCRCIRTp06pXHu6NGj4r9Tq1ev1qu+\nymDPKCIiIqr1li5dio8//hgDBw7EkCFD4OTkBABo3LgxAODGjRvo378/kpOTYWlpiXHjxqFz586w\nsLBAeHg4tmzZgpCQEPTq1Qtnz55Fu3btyrSxadMmzJw5EwDg7OyM6dOno0WLFkhISMBvv/2GESNG\nYMmSJVV+r8a4F5UHDx6gX79+kMvleOedd+Dt7Y34+HisX78eSUlJePXVV9GqVSsMGjSozLXBwcEY\nOHAgUlNTAQD9+/fHgAED4OTkhISEBERFRWHfvn0ICQkRr3n66afh7e2N2NhYrFu3DkOHDtUZ29q1\nawEA7du3R9euXQ1+nY4fPw4A6Ny5s8kmvre0tBTj1mXnzp3Ys2cPAMDe3l5rmYCAAABAZmYmrly5\nUqn7JyKimuXAgQMAgF69esHBwQEAIAiCxnegZLGWjh074sSJE7h06ZLR48jPz8fMmTOhVCoxd+5c\n9OzZ0+ht6IPJKCIiIqoxVq5cKf6hro22YWsFBQX4+OOPsXHjRrz44otlriksLMSECROQnJyM1q1b\nY9++fWjWrJlGmQ8++ACDBg1CeHg4XnjhBVy+fFnjfGJiIl577TUAgJ+fH44cOQJXV1fx/IcffoiJ\nEyfio48+MvSWDWKMe1G3ePFi9OzZE0FBQbC2thaPv/LKK+jUqRNSUlLw+eefl0lG5efnY9y4cUhN\nTUWDBg2wbds2rYml/Px8REZGivtSqRSzZ8/GwoULsXPnTiQnJ2tdQvrWrVs4ceIEgJKhhJVx/vx5\nACh3dcbSoqOj9WrvwoULWo+bmZmVe/3Zs2fF52jgwIHicI3SnnrqKY1rmIwiIqr9IiIiAAAHDx7U\na1oAAHj48KHR4/jkk09w8+ZNNGrUSJw+oDowGUVEREQ1xqFDh8o9v3DhwjLJKIVCgUmTJmlNRAEl\nk4XevHkTMpkM27dvL5O8AUrm6fn555/RvXt3XLlyBadPn9b4pHDt2rXIysoCAGzevFkjEQWU9Ij5\n5Zdf4OPjo89tVpox7kWdVCrF1q1bNRJRAODh4YHXXnsNn3zyCU6ePIns7GzY2tqK5zds2IA7d+4A\nAFavXq2zh5OlpSXat2+vcWzmzJlYtGgRioqKsGnTJixYsKDMdareRRYWFpg2bVo5r4h2WVlZyM7O\nBgC4uLjofV1ycjLWr19vcHv6iImJwZgxY5Cfn4/WrVsjKChIZ48t9QRdQkJClcRDRESmlZ6eDgCQ\nSCR6L6pRXFxs1BgSExPFuS2XLVsGW1tbKBQKnW0qlUrxvLF7GTMZRURERDXG/Pnzy+3Joiux8NJL\nL+m8Ztu2bQCAPn36oE2bNjrLdevWDR4eHoiPj8exY8c0Ejj//PMPAKBr164avVbUOTo6YtKkSVW6\nNLIx7kXdhAkT4OjoqPVcnz59AJS8EY2IiEDnzp3Fc3/99RcAwMvLC88++6xB99C4cWM888wz2L59\nO9atW1cmGaVKUgElE3yrhlwaIjk5WdwubwL40po3b47333+/wnLbtm0Th1voIzMzEyNHjsSDBw/g\n4uKCPXv2iEM0tLGwsICNjQ1ycnI07oWIiGqvBg0aIDs7G9OnTxf/nTO17OxsMdk0depUTJ06tdzy\n8+fPFxfmuHjxIrp06WK0WJiMIiIiohpj0KBBGDNmjMHXlffmSDWkKjExES+//DIA7XM0CIKAgoIC\nAMC9e/c06lDNe9S9e/dy4/D396/SZJQx7kVdeYk/Nzc3cVv1aa6Kauhfnz599P50V93cuXOxfft2\nRERE4MSJE2LiC4A4fA8oP8lYHlWvKACwsbHR+7qGDRvqNUzv5s2beiejFAoFJk6ciBs3bsDCwgI7\nduzQqwedKhml6pFHRES1m6+vLxISEnDlypVqi0EikUAmk5VbRhAEKJVKACU9qFVDCvUdWqgvJqOI\niIioVjM3N4ednZ3Wc8XFxUhLSwMAhIeHIzw8XK861ZMZRUVFyMnJAYAyw/NKq+j8kzDGvZSmawJt\nAJDL5eJ2UVGRxnZGRgaAxxPEG2rw4MHw8fHB7du3sW7dOo1klGqIXtOmTTFw4MBK1a/em6p0Is3U\nXn/9dTFxtW7dOvTq1Uuv61SvcWV6hhERUc0zdOhQnDx5EqGhobh48WK1zAfo4+NTZlheaceOHUP/\n/v0BlMzlqfrwy9iYjCIiIqJaTT1pUp7hw4dj7NixepX19fUVt9V7/lQ0d4Mx5nbQp47K3osxyGQy\nSKVSKJXKSt+vRCLB7Nmz8d577yEoKAjff/89HBwcEBMTI84bNnPmzEp/Cqs+55Jqtb/q8N1332H1\n6tUAgI8++kjv+a+ys7PFnm3aJngnIqLa5+WXX8bXX3+NzMxMvPjiizh+/LhB8xrWNUxGERERUZ0l\nk8ng4uKC5ORkODg4VGplNplMBicnJ6SmpiI+Pr7csuUNibOwsBC3VYkGbVJSUnTG8aT3YgxSqRQN\nGzZEUlISYmJiKl3PjBkz8PHHHyMvLw9bt27F/PnzsX79eiiVSkilUp0T0uvDwsICbm5uSEpKQmJi\nYqXreRJ79+5FYGAgAGDy5MlYvHix3teqx+zt7W302IiIqHJK9ypSHyJf+lzpCb+dnZ2xfv16TJo0\nCWFhYejUqRPeeecdDBs2DB4eHsjLy0NiYiLu3buHI0eOYN++fQgKCkKrVq2MGkdNYfggfyIiIqJa\nRDV594EDB8pNApVHNSfV8ePHyy137NgxnefUP/2Mi4vTWe7MmTM6zxnjXoxBFcfRo0eRl5dXqTpc\nXV3F+cHWrl2L4uJibNy4EUDJUIYmTZo8UYy9e/cGAFy6dOmJ6qmMkJAQTJkyBUqlEv7+/vj5558N\n6uWlmhsMeHwfRERUve7duwe5XK7xdeLECQBAfHx8mXOnTp0qU8eECRMQFBQEBwcHxMfH44033kDL\nli1hY2MDFxcXtGvXDk8//TS+/vprhIaGVlkcNQGTUURERFSnzZgxA0BJj6OvvvqqUnWMGzcOABAZ\nGYndu3drLRMVFYWdO3fqrKNp06biHE2q1flKi4uLwx9//KGzDmPcizG88MILAIC0tDQsXbq00vXM\nnTsXAHDt2jUsXrxY7HlW2YnL1fXt2xcAcP36deTm5j5xffpKSEjAyJEjkZ2dDW9vb+zcuROWlpYG\n1XHu3DkAJXNytWzZsirCJCIiA6km/9b3S9eHEOPGjUNMTAyWLl2KgQMHonHjxrCysoKrqyvat2+P\nESNGYOnSpQgNDdXaK8pYcehzn5VZpERfTEYRERFRnfbMM89g6NChAIDFixfj448/FickLy0iIgLL\nly8vc3769Olo2rQpgJKEUOneS9HR0Rg9ejQaNWqkMw6JRCLO87R582YcPHiwTB2jRo3SWMWuKu7F\nGEaNGoUBAwYAABYtWoT//ve/KCwsLFPu6tWr+Pvvv3XWM2DAADHZ8vnnnwMomSPpmWeeeeIYhw0b\nBolEAoVCgbNnzz5xffrIy8vDM888g7i4ONjZ2WHv3r2VmtRe9Qn3sGHDjB0iERFVkoeHBxQKhd5f\nql7E2tjb2yMwMBCHDh3C/fv3kZubi6SkJISEhGDPnj0IDAyEn59flcehTd++fcVr58yZY9C1hqiZ\ngweJiIiIjOj333/HqFGjcOrUKXz22Wf47rvv4O/vj8aNGyM7OxtJSUmIjY0V53yaPn06bGxsxOut\nra2xdetWDBkyBA8fPkSvXr0QEBAAHx8fJCYm4vjx43BycsKyZcswdepUnXF8/PHH+Ouvv5CVlYWh\nQ4eiT58+8Pb2xr1793Dy5Em0aNECX3zxBaZMmVJl92IMEokEf/zxB4YOHYorV65g4cKFWLZsGXr0\n6AFHR0ckJiYiMjISMTExeO6558TheNrMmTMHCxYsEOe7eP755/WelL48Pj4+GDBgAA4fPoytW7dW\nemU+QwQFBYnDAps1a4bly5eXW37s2LEYMWKExrGwsDBcu3YNwOOeY0RERHUNk1FERERU5zk4OODo\n0aP4/vvv8d133yEuLq5MzyQAaNu2LYYOHQpbW9sy53r06IFjx45h9uzZCA4OxpkzZ8QeUgEBAdi6\ndStu375dbhzNmjXDwYMH8cILLyAiIkKcg0oikWDUqFHYuHFjuXNGGetejMHFxQUnT57El19+iR9+\n+AGpqanYs2ePRpnOnTuLQxx1efHFF/Hhhx+Kc2AZY4ieyrx583D48GEEBQVh5cqVsLKyMlrd2qiv\nLnjt2jUxqaRL06ZNyySjNm/eDAB46qmn0K1bN+MHSUREVANIBPVp14mIiIhMLDo6GkeOHAEADB48\nWO/Vw4KDg3Hp0iXI5XJxDiN9hYeHIyIiAhkZGbC3t4ebmxuaNWtW7jA7dSEhIQgLC4NMJkObNm3Q\nrl07AMChQ4cwePBgsY3WrVtrvV6pVOLy5cuIjIyEpaUlOnbsCB8fHwAl80bt378fADBlypQKk0mG\n3ktBQYGY8Ojfv7/YbmmZmZn4888/AQBPP/00PD09dcagUChw+fJlxMbGoqioCO7u7vDx8YGXl1e5\nsas0a9YMMTExCAgIqDAZZwiFQoFWrVohOjoaGzZsEOfcKu2PP/5AVlYWXF1d9RoieOHCBYSEhADQ\n/H8UGRlZ4ST36rp06YJOnTqJ+4WFhWjevDni4+OxefNmTJs2Te+6iIiIahMmo4iIiIiMRN9kFD12\n8uRJ9OnTBwCwfv16zJw506j1BwUFYeLEifDx8cHNmzdr7BLXALBq1SrMnz8fnTt3xsWLFw2edJaI\niKi24ATmRERERFRt1q1bB6BkMtfJkycbvf4JEyagZ8+euH37NjZt2mT0+o2loKAAX3zxBQBg+fLl\nTEQREVGdVnM/GiIiIiKiOi04OBi//fYbAGD27NlGn2hdZePGjTh+/DgaN25cJfUbQ0pKChYtWgQH\nBwf07t27usMhIiKqUhymR0RERGQkHKZXsVOnTuHnn39Gamoq/v33X+Tl5cHZ2Rk3b96Ei4tLdYdH\nREREJsCeUURERERkMjdv3sT69evFfQ8PD2zZsoWJKCIionqEPaOIiIiIjOT+/fvYt28fAGDixImw\nt7ev5ohqnoiICJw8eRJmZmZo0qQJevToASsrq+oOi4iIiEyIySgiIiIiIiIiIjIZrqZHRERERERE\nREQmw2QUERERERERERGZDJNRRERERERERERkMkxGERERERERERGRyTAZRUREREREREREJsNkFBER\nERERERERmQyTUUREREREREREZDJMRhERERERERERkckwGUVERERERERERCbDZBQREREREREREZkM\nk1FERERERERERGQyTEYREREREREREZHJMBlFREREREREREQmw2QUERERERERERGZDJNRRERERERE\nRERkMkxGERERERERERGRyTAZRUREREREREREJsNkFBERERERERERmcz/A7yIpjoNC8PrAAAAAElF\nTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "field = batch_data[\"sim_1\"].monitor_data[\"monitor_time_0\"].Hz.squeeze().real\n",
        "\n",
        "fmesh = np.fft.fftfreq(field.size, np.mean(np.diff(field.t)))\n",
        "spectrum = np.fft.fft(field)\n",
        "\n",
        "mask = (fmesh > freq_range[0]) & (fmesh < freq_range[1])\n",
        "\n",
        "plt.plot(\n",
        "    fmesh[mask],\n",
        "    np.abs(spectrum)[mask],\n",
        ")\n",
        "plt.title(\"Spectrum at single wavevector\")\n",
        "plt.xlabel(\"Frequency (Hz)\")\n",
        "plt.ylabel(\"Amplitude\")\n",
        "plt.show()"
      ],
      "id": "4ee2b4c3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We use the ResonanceFinder plugin to find the band frequencies.\n",
        "\n",
        "We first construct a `ResonanceFinder` object storing our parameters,\n",
        "and then call `run()` on our list of `FieldTimeData` objects. This will\n",
        "add up the signals from all of the monitors before searching for\n",
        "resonances. The `ResonanceFinder` class has additional methods in case\n",
        "the signal takes another form; see the api reference\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.resonance.ResonanceFinder.html).\n",
        "\n",
        "The `run()` method returns an `xr.Dataset` containing the decay rate, Q\n",
        "factor, amplitude, phase, and estimation error for each resonance as a\n",
        "function of frequency."
      ],
      "id": "05072672-5bc4-4eec-b0c9-35c12ea79bb0"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "</div>"
            ]
          }
        }
      ],
      "source": [
        "resonance_finder = ResonanceFinder(freq_window=tuple(freq_range))\n",
        "resonance_data = resonance_finder.run(signals=batch_data[\"sim_1\"].data)\n",
        "resonance_data.to_dataframe()"
      ],
      "id": "5d8b7968"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We see the four resonances from the previous figure. All four have\n",
        "reasonable Q factors, amplitudes, and errors, so they are likely to\n",
        "represent physical resonances. Note that in order to accurately obtain\n",
        "the Q factor for high-Q modes, it may be necessary to run the simulation\n",
        "for a longer time.\n",
        "\n",
        "Now we are ready to compute the band structure. We run the resonance\n",
        "finder at every Bloch wavevector."
      ],
      "id": "95be7693-4b67-413f-a40a-e1572a87881a"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [],
      "source": [
        "resonance_finder = ResonanceFinder(freq_window=tuple(freq_range))\n",
        "resonance_datas = []\n",
        "for i in range(3 * Nk):\n",
        "    sim_data = batch_data[f\"sim_{i}\"]\n",
        "    resonance_datas.append(resonance_finder.run(signals=sim_data.data))"
      ],
      "id": "446cad15"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We define a function to filter resonances based on their Q, amplitude,\n",
        "and error."
      ],
      "id": "d4443991-f6b1-45a7-9a02-09ddd8eb569d"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "def filter_resonances(resonance_data, minQ, minamp, maxerr):\n",
        "    resonance_data = resonance_data.where(abs(resonance_data.Q) > minQ, drop=True)\n",
        "    resonance_data = resonance_data.where(resonance_data.amplitude > minamp, drop=True)\n",
        "    resonance_data = resonance_data.where(resonance_data.error < maxerr, drop=True)\n",
        "    return resonance_data"
      ],
      "id": "d81e42d9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We plot the band structure with the light line overlaid."
      ],
      "id": "02328759-fd0e-4e58-b466-7ac714b15c0e"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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zxVVC67333pMk5eXlDdmI/YQTThhwTiBM01RFRYU6Ojo0d+5cnXHGGY6NFfbi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zdffd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\nGxLrPgAAAADcyfpZj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          }
        }
      ],
      "source": [
        "for i in range(3 * Nk):\n",
        "    resonance_data = resonance_datas[i]\n",
        "    resonance_data = filter_resonances(\n",
        "        resonance_data=resonance_data, minQ=0, minamp=0.001, maxerr=100\n",
        "    )\n",
        "    freqs = resonance_data.freq.to_numpy()\n",
        "    Qs = resonance_data.Q.to_numpy()\n",
        "    plt.scatter(np.full(len(freqs), (1 / 2) * i / Nk), freqs / 3e14, color=\"blue\")\n",
        "\n",
        "lightx = np.linspace(0, 0.5, 100)\n",
        "lighty1 = lightx\n",
        "lighty3 = (0.5 - lightx) * np.sqrt(2)\n",
        "\n",
        "plt.plot(lightx, lighty1, color=\"blue\", alpha=0.2)\n",
        "plt.plot(1 + lightx, lighty3, color=\"blue\", alpha=0.2)\n",
        "\n",
        "plt.ylim(0, freq_range_unitless[1])\n",
        "\n",
        "plt.title(\"Band diagram\")\n",
        "plt.ylabel(\"Frequency (c/a)\")\n",
        "plt.xlabel(\"Wavevector\")\n",
        "plt.xticks([0, 0.5, 1, 1.5], [r\"$\\Gamma$\", \"X\", \"M\", r\"$\\Gamma$\"])\n",
        "plt.xlim(0, 1.5)\n",
        "plt.show()"
      ],
      "id": "9ef0a040"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The bandstructure we obtained matches the expected result from the\n",
        "paper. If we were seeing too many resonances, we could change the\n",
        "parameters to our filter_resonances function to eliminate the spurious\n",
        "ones. If we were seeing too few resonances even before filtering, we\n",
        "might have to change the parameters of the ResonanceFinder, for example\n",
        "decreasing `rcond` or increasing `init_num_freqs`. If the\n",
        "ResonanceFinder takes too long, we can decrease `init_num_freqs`. There\n",
        "can also be resonances on the light line associated with Wood’s anomaly;\n",
        "we filter those out here based on their small amplitude."
      ],
      "id": "da0d464b-d852-4cda-a3d4-ad05ee2762bf"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}