{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Inverse design optimization of a mode converter\n",
        "\n",
        "In this notebook, we will use inverse design and Tidy3D to create an\n",
        "integrated photonics component to convert a fundamental waveguide mode\n",
        "to a higher order mode."
      ],
      "id": "deb3cb05-0e09-4547-bad7-2ede3564d35a"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "from typing import List\n",
        "\n",
        "import autograd.numpy as anp\n",
        "import matplotlib.pylab as plt\n",
        "import numpy as np\n",
        "\n",
        "# import regular tidy3d\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from autograd import value_and_grad\n",
        "from tidy3d.plugins.mode import ModeSolver\n",
        "\n",
        "# set random seed to get same results\n",
        "np.random.seed(2)"
      ],
      "id": "0013c80a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Setup\n",
        "\n",
        "We wish to recreate a device like the diagram below:\n",
        "\n",
        "<img src=\"img/AdjointInvDes.png\" width=800 alt=\"Schematic of the mode converter\">\n",
        "\n",
        "A mode source is injected into a waveguide on the left-hand side. The\n",
        "light propagates through a rectangular region with pixelated\n",
        "permittivity with the value of each pixel independently tunable between\n",
        "1 (vacuum) and some maximum permittivity. Finally, we measure the\n",
        "transmission of the light into a waveguide on the right-hand side.\n",
        "\n",
        "The goal of the inverse design exercise is to find the best distribution\n",
        "of permittivities ($\\epsilon_{ij}$) in the coupling region to maximize\n",
        "the power conversion between the input mode and the output mode.\n",
        "\n",
        "We also apply our built-in smoothening and binarization filters to\n",
        "ensure that the final device has smooth features, and permittivity\n",
        "values that are all either 1, or the maximum permittivity of the\n",
        "waveguide material.\n",
        "\n",
        "### Parameters\n",
        "\n",
        "First we will define some parameters."
      ],
      "id": "7e41380b-59d5-41ce-99b1-b1e9dee8ba40"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# wavelength and frequency\n",
        "wavelength = 1.0\n",
        "freq0 = td.C_0 / wavelength\n",
        "k0 = 2 * np.pi * freq0 / td.C_0\n",
        "\n",
        "# resolution control\n",
        "min_steps_per_wvl = 16\n",
        "# in the design region, we set uniform grid resolution,\n",
        "# and define the design parameters on the same grid\n",
        "dl_design_region = 0.01\n",
        "\n",
        "# space between boxes and PML\n",
        "buffer = 1.0 * wavelength\n",
        "\n",
        "# optimize region size\n",
        "lz = td.inf\n",
        "lx = 5.0\n",
        "ly = 3.0\n",
        "\n",
        "# position of source and monitor (constant for all)\n",
        "source_x = -lx / 2 - buffer * 0.8\n",
        "meas_x = lx / 2 + buffer * 0.8\n",
        "\n",
        "# total size\n",
        "Lx = lx + 2 * buffer\n",
        "Ly = ly + 2 * buffer\n",
        "Lz = 0.0\n",
        "\n",
        "# permittivity and width of the input/output waveguide\n",
        "eps_wg = 2.75\n",
        "wg_width = 0.7\n",
        "\n",
        "# random starting parameters between 0 and 1\n",
        "nx = int(lx / dl_design_region)\n",
        "ny = int(ly / dl_design_region)\n",
        "params0 = np.random.random((nx, ny))\n",
        "\n",
        "# frequency width and run time\n",
        "freqw = freq0 / 10\n",
        "run_time = 50 / freqw"
      ],
      "id": "deb2a713"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Static Components\n",
        "\n",
        "Next, we will set up the static parts of the geometry, the input source,\n",
        "and the output monitor using these parameters."
      ],
      "id": "cfc14182-686e-419b-8beb-25ee8c3da084"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "waveguide = td.Structure(\n",
        "    geometry=td.Box(size=(2 * Lx, wg_width, lz)), medium=td.Medium(permittivity=eps_wg)\n",
        ")\n",
        "\n",
        "mode_size = (0, wg_width * 3, lz)\n",
        "\n",
        "source_plane = td.Box(\n",
        "    center=[source_x, 0, 0],\n",
        "    size=mode_size,\n",
        ")\n",
        "\n",
        "measure_plane = td.Box(\n",
        "    center=[meas_x, 0, 0],\n",
        "    size=mode_size,\n",
        ")"
      ],
      "id": "278af079"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Input Structures\n",
        "\n",
        "Next, we write a function to return the pixelated array given our\n",
        "flattened tuple of permittivity values $\\epsilon_{ij}$ using the\n",
        "`tidy3d.plugins.autograd` plugin.\n",
        "\n",
        "We start with an array of parameters between 0 and 1, apply a conic\n",
        "filter and tanh projection to compute smooth, well-binarized features."
      ],
      "id": "f4c37b29-2788-4743-9149-d224fbe9faa2"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "from tidy3d.plugins.autograd import make_filter_and_project, rescale\n",
        "\n",
        "# radius of the circular filter (um) and the threshold strength\n",
        "radius = 0.120\n",
        "beta = 50\n",
        "\n",
        "filter_project = make_filter_and_project(radius, lx / nx)\n",
        "\n",
        "\n",
        "def get_eps(params, beta):\n",
        "    \"\"\"Get the permittivity values (1, eps_wg) array as a function of the parameters (0, 1)\"\"\"\n",
        "    processed_params = filter_project(params, beta)\n",
        "    eps = rescale(processed_params, 1, eps_wg)\n",
        "    return eps\n",
        "\n",
        "\n",
        "def make_input_structures(params, beta) -> List[td.Structure]:\n",
        "    box = td.Box(center=(0, 0, 0), size=(lx, ly, lz))\n",
        "    eps_data = get_eps(params, beta=beta).reshape((nx, ny, 1))\n",
        "    custom_structure = td.Structure.from_permittivity_array(geometry=box, eps_data=eps_data)\n",
        "\n",
        "    return [custom_structure]"
      ],
      "id": "f9e0e219"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Making the Simulation\n",
        "\n",
        "Next, we write a function to return a basic `td.Simulation` as a\n",
        "function of our parameter values.\n",
        "\n",
        "We make sure to add the pixelated `td.Structure` list to\n",
        "`input_structures` but leave out the sources and monitors for now as\n",
        "we’ll want to add those after the mode solver is run so we can inspect\n",
        "them."
      ],
      "id": "d02b8301-b9f6-436e-8163-a57f8fd037ca"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_sim_base(params: np.ndarray, beta: float) -> td.Simulation:\n",
        "    \"\"\"Create the simulation given the parameters and some beta value.\"\"\"\n",
        "\n",
        "    structures = make_input_structures(params, beta=beta)\n",
        "    design_region_mesh = td.MeshOverrideStructure(\n",
        "        geometry=td.Box(size=(lx, ly, lz)),\n",
        "        dl=[dl_design_region] * 3,\n",
        "        enforce=True,\n",
        "    )\n",
        "    grid_spec = td.GridSpec.auto(\n",
        "        wavelength=wavelength,\n",
        "        min_steps_per_wvl=16,\n",
        "        override_structures=[design_region_mesh],\n",
        "    )\n",
        "\n",
        "    return td.Simulation(\n",
        "        size=[Lx, Ly, Lz],\n",
        "        grid_spec=grid_spec,\n",
        "        structures=[waveguide] + structures,\n",
        "        sources=[],\n",
        "        monitors=[],\n",
        "        run_time=run_time,\n",
        "        boundary_spec=td.BoundarySpec.pml(x=True, y=True, z=False),\n",
        "    )"
      ],
      "id": "0279d45a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Visualize\n",
        "\n",
        "Let’s visualize the simulation to see how it looks"
      ],
      "id": "cac67bba-fafe-4f67-88d4-35a1a0f74c61"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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77rvx2GOPYdGiRejv78faa6+NcePG4TOf+Qw+//nPo6OjY8h+Dz/8MH72s58B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\nMakmmDlIMqXYiSGCT5AIIYQQQgghpLph/EdIfUBxkGRGf39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RM8FBMEu2x3+esKGKU2fOvSkIXvyWXfObaVD/Ul5BqwiSWuQDrNOfMt++pyteFabzsutuPkI20f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\n7ZSQxvIQkVAqL9lcLC6xW0IzxrvG59D2I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          }
        }
      ],
      "source": [
        "sim_start = make_sim_base(params0, beta=1.0)\n",
        "\n",
        "ax = sim_start.plot_eps(z=0, freq=freq0)\n",
        "\n",
        "plt.show()"
      ],
      "id": "fec5ddbd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Select Input and Output Modes\n",
        "\n",
        "Next, let’s visualize the first 4 mode profiles so we can select which\n",
        "mode indices we want to inject and transmit."
      ],
      "id": "3a585c7b-713a-4af5-a964-b9a3ba806287"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "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\">02:24:48 UTC </span>Mode solver created with                                           \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #808000; text-decoration-color: #808000\">task_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'fdve-5bd80912-3dbd-491e-9870-8af29f02a42c'</span>,               \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #808000; text-decoration-color: #808000\">solver_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'mo-bca9295e-30a3-4465-a505-b4114fc25a37'</span>.               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"48663e1d78e048c284dffc135581c5b1\",\"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": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"9bc41560d9db4227b9da28a588a5bcef\",\"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\">02:24:53 UTC </span>Mode solver status: success                                        \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"aa861f9afa1f4d5e926f8aa05d2ff1b3\",\"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>"
            ]
          }
        }
      ],
      "source": [
        "from tidy3d.plugins.mode.web import run as run_mode_solver\n",
        "\n",
        "num_modes = 4\n",
        "mode_spec = td.ModeSpec(num_modes=num_modes)\n",
        "\n",
        "mode_solver = ModeSolver(\n",
        "    simulation=sim_start,\n",
        "    plane=source_plane,\n",
        "    mode_spec=td.ModeSpec(num_modes=num_modes),\n",
        "    freqs=[freq0],\n",
        ")\n",
        "modes = run_mode_solver(mode_solver, reduce_simulation=True)"
      ],
      "id": "a2c88d6e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s visualize the modes next."
      ],
      "id": "59b51d48-b296-40a3-85db-f6f436db0e93"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Effective index of computed modes:  [[1.57207961 1.53546344 1.30320219 1.18494033]]"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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zjmcV7Fe+2M7r7eGl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i/pCvrzVhvnKSAgAFeuXEFC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2DCkpKRBCwMvLq1BtaXqcAFClShU0bNgQ3t7eKusAuU8mxMfHS2vVFjd/f3/cu3cPy5cv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\nO4c+ffpIa+dmZ2fjzp07uHPnjtJ9ata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o2AGArAg9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OPz8/1KlTB9bW1rh27Rp2796NuLg4HDt2DK1atcKJEye07v5BupNf45KuL1B8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\n"
          }
        }
      ],
      "source": [
        "fig, axs = plt.subplots(num_modes, 3, figsize=(12, 12), tight_layout=True)\n",
        "for mode_index in range(num_modes):\n",
        "    vmax = 1.1 * max(\n",
        "        abs(modes.field_components[n].sel(mode_index=mode_index)).max() for n in (\"Ex\", \"Ey\", \"Ez\")\n",
        "    )\n",
        "    for field_name, ax in zip((\"Ex\", \"Ey\", \"Ez\"), axs[mode_index]):\n",
        "        field = modes.field_components[field_name].sel(mode_index=mode_index)\n",
        "        field.real.plot(label=\"Real\", ax=ax)\n",
        "        field.imag.plot(ls=\"--\", label=\"Imag\", ax=ax)\n",
        "        ax.set_title(f\"index={mode_index}, {field_name}\")\n",
        "        ax.set_ylim(-vmax, vmax)\n",
        "\n",
        "axs[0, 0].legend()\n",
        "\n",
        "print(\"Effective index of computed modes: \", np.array(modes.n_eff))"
      ],
      "id": "db9acddc"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We want to inject the fundamental, Ez-polarized input into the 1st order\n",
        "Ez-polarized input.\n",
        "\n",
        "From the plots, we see that these modes correspond to the first and\n",
        "third rows, or `mode_index=0` and `mode_index=2`, respectively.\n",
        "\n",
        "So we make sure that the `mode_index_in` and `mode_index_out` variables\n",
        "are set appropriately and we set a `ModeSpec` with 3 modes to be able to\n",
        "capture the `mode_index_out` in our output data."
      ],
      "id": "16911170-1e81-434f-b778-ba8e794c8887"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "mode_index_in = 0\n",
        "mode_index_out = 2\n",
        "\n",
        "num_modes = max(mode_index_in, mode_index_out) + 1\n",
        "\n",
        "mode_spec = td.ModeSpec(num_modes=num_modes)"
      ],
      "id": "04f331f5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Then it is straightforward to generate our source and monitor."
      ],
      "id": "55bbd128-5437-4ffa-8fef-72c78abdfdac"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "# source seeding the simulation\n",
        "forward_source = td.ModeSource(\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freqw),\n",
        "    center=[source_x, 0, 0],\n",
        "    size=mode_size,\n",
        "    mode_index=mode_index_in,\n",
        "    mode_spec=mode_spec,\n",
        "    direction=\"+\",\n",
        ")\n",
        "\n",
        "# we'll refer to the measurement monitor by this name often\n",
        "measurement_monitor_name = \"measurement\"\n",
        "\n",
        "# monitor where we compute the objective function from\n",
        "measurement_monitor = td.ModeMonitor(\n",
        "    center=[meas_x, 0, 0],\n",
        "    size=mode_size,\n",
        "    freqs=[freq0],\n",
        "    mode_spec=mode_spec,\n",
        "    name=measurement_monitor_name,\n",
        ")"
      ],
      "id": "81c8e26c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, we create a new function that calls our `make_sim_base()`\n",
        "function and adds the source and monitor to the result. This is the\n",
        "function we will use in our objective function to generate our\n",
        "`td.Simulation` given the input parameters."
      ],
      "id": "23ca5077-5fea-4b2a-a184-22b334b7c2c5"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_sim(params, beta):\n",
        "    sim = make_sim_base(params, beta=beta)\n",
        "    return sim.updated_copy(sources=[forward_source], monitors=[measurement_monitor])"
      ],
      "id": "2d2fabc0"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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77rvx2GOPYdGiRejv78faa6+NcePG4TOf+Qw+//nPo6OjY8h+Dz/8MH72s58B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\nMakmmDlIMqXYiSGCT5AIIYQQQgghpLph/EdIfUBxkGRGf39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RM8FBMEu2x3+esKGKU2fOvSkIXvyWXfObaVD/Ul5BqwiSWuQDrNOfMt++pyteFabzsutuPkI20f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\n7ZSQxvIQkVAqL9lcLC6xW0IzxrvG59D2I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          }
        }
      ],
      "source": [
        "sim_start = make_sim_base(params0, beta=1.0)\n",
        "\n",
        "ax = sim_start.plot_eps(z=0, freq=freq0)\n",
        "\n",
        "plt.show()"
      ],
      "id": "85e3d5b7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Post Processing\n",
        "\n",
        "Next, we will define a function to tell us how we want to postprocess\n",
        "the output `td.SimulationData` object to give the conversion power that\n",
        "we are interested in maximizing."
      ],
      "id": "a26f2055-82aa-4e28-a288-153ce848f177"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [],
      "source": [
        "def measure_power(sim_data: td.SimulationData) -> float:\n",
        "    \"\"\"Return the power in the output_data amplitude at the mode index of interest.\"\"\"\n",
        "    output_amps = sim_data[\"measurement\"].amps\n",
        "    amp = output_amps.sel(direction=\"+\", f=freq0, mode_index=mode_index_out).values\n",
        "    return anp.sum(anp.abs(amp) ** 2)"
      ],
      "id": "d9dae0d2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Then, we add a penalty to produce structures that are invariant under\n",
        "erosion and dilation, which is a useful approach to implementing minimum\n",
        "length scale features."
      ],
      "id": "7a5d65f2-6ea6-462e-87e7-1e0fd7f939d7"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [],
      "source": [
        "from tidy3d.plugins.autograd import make_erosion_dilation_penalty\n",
        "\n",
        "penalty = make_erosion_dilation_penalty(radius, lx / nx)"
      ],
      "id": "ecd15385"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Define Objective Function\n",
        "\n",
        "Finally, we need to define the objective function that we want to\n",
        "maximize as a function of our input parameters (permittivity of each\n",
        "pixel) that returns the conversion power. This is the function we will\n",
        "differentiate later."
      ],
      "id": "b40492c0-f653-43e3-9606-e359e964974e"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "def J(params: np.ndarray, beta: float, step_num: int = None, verbose: bool = False) -> float:\n",
        "    sim = make_sim(params, beta=beta)\n",
        "    task_name = \"inv_des\"\n",
        "    if step_num:\n",
        "        task_name += f\"_step_{step_num}\"\n",
        "    sim_data = web.run(sim, task_name=task_name, verbose=verbose)\n",
        "    penalty_weight = np.minimum(1, beta / 25)\n",
        "    density = filter_project(params, beta)\n",
        "    return measure_power(sim_data) - penalty_weight * penalty(density)"
      ],
      "id": "e5a86982"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Inverse Design\n",
        "\n",
        "Now we are ready to perform the optimization.\n",
        "\n",
        "We use the `autograd.value_and_grad` function to get the gradient of `J`\n",
        "with respect to the permittivity of each `Box`, while also returning the\n",
        "converted power associated with the current iteration, so we can record\n",
        "this value for later.\n",
        "\n",
        "Let’s try running this function once to make sure it works."
      ],
      "id": "ff5a9f88-9754-4385-9f9d-003f87d9d665"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [],
      "source": [
        "dJ_fn = value_and_grad(J)"
      ],
      "id": "9761130a"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "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-a9bb133b-c5a2-4013-8f33-c137c817e3f9'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
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        {
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </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-a9bb133b-c5a2-4013-8f33-c137c817e3f9\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a9bb133b-c5a</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a9bb133b-c5a2-4013-8f33-c137c817e3f9\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">2-4013-8f33-c137c817e3f9'</span></a>.                                         \n",
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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              "{\"model_id\":\"0234feddc9064e0f8ea5889c6b9b2511\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
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          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">02:25:00 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">02:25:01 UTC </span>Loading results from simulation_data.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\">02:25:02 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
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          "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\">02:25:06 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span> for the whole batch.                \n",
              "</pre>"
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          }
        },
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </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>"
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">02:25:07 UTC </span>Batch complete.                                                    \n",
              "</pre>"
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              "</script>"
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        {
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(500, 300)"
          ]
        }
      ],
      "source": [
        "val, grad = dJ_fn(params0, beta=1, verbose=True)\n",
        "print(grad.shape)"
      ],
      "id": "0d672fe5"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[ 1.30448261e-08  2.56903664e-08  2.49141140e-08 ... -5.51629851e-09\n",
            "  -5.60823861e-09 -2.82917994e-09]\n",
            " [ 2.62371350e-08  5.17052012e-08  5.01801370e-08 ... -1.10785725e-08\n",
            "  -1.12887450e-08 -5.69075189e-09]\n",
            " [ 2.68753026e-08  5.30190434e-08  5.13777893e-08 ... -1.13478585e-08\n",
            "  -1.16443314e-08 -5.88133180e-09]\n",
            " ...\n",
            " [ 3.53361651e-07  7.07449686e-07  7.15411750e-07 ... -6.03453366e-07\n",
            "  -5.92602692e-07 -2.94517981e-07]\n",
            " [ 3.51756452e-07  7.04237935e-07  7.12308030e-07 ... -5.96807541e-07\n",
            "  -5.85891073e-07 -2.91144280e-07]\n",
            " [ 1.75669459e-07  3.51709179e-07  3.55678365e-07 ... -2.97327931e-07\n",
            "  -2.91850742e-07 -1.45027304e-07]]"
          ]
        }
      ],
      "source": [
        "print(grad)"
      ],
      "id": "1197ac82"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Optimization\n",
        "\n",
        "We will use “Adam” optimization strategy to perform sequential updates\n",
        "of each of the permittivity values in the `td.CustomMedium`.\n",
        "\n",
        "For more information on what we use to implement this method, see [this\n",
        "article](https://optimization.cbe.cornell.edu/index.php?title=Adam).\n",
        "\n",
        "We will run 10 steps and measure both the permittivities and powers at\n",
        "each iteration.\n",
        "\n",
        "We run this process explicitly below with Tidy3D’s built-in Adam\n",
        "optimizer."
      ],
      "id": "dc857c4e-790f-42dd-bf6b-1ed655e51e6a"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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kej82BSkzvdG0xlLNBF2A6gaDgZaXl/XZZ5/piy++0Pb2dqAQHAwbjKh9f38f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LxUNiJtmgiHK5WKVldXtbW1pXq9npiED6RnU8P1EOURIFcqFW1tbYVYm8gmKSIoJDVpOYYFumXA\n7d7enl69eqVXr17FjFGcv0dEKrc40Fqtlihy8d0YBVyfpHDCEPo4aVJ5vo/UHcfnxkuhBjKerhec\ntm8eD4IgOSrCpMr9fj9+7y2T6PfgaDOZTKgvcAKgQSqrlUolNHxeUCT7AOnTEOGyLpwtnUmg1l6v\nF1wlDlNScMSk8zMzM3FyqTRGjzjXwWCgWq2mra0tbW9vq1qtxhBmPo//YhdkDr1eT3d3dzH1HueK\nY1xYWFCz2YzBHdgvsiGKabzjmZmZKKJgi/f396pWqyqXy1Hpd4TKvmQ/epETWyZQIzmCfuH9USCi\n594bP1ABgIRd9QLNwlo5ume9PLjhrEHgrmP2bA27hbttNps6Pj4OW57kNVEH+s0334QmzwdBpDtK\n0jpKXrg07qRIH9+Q5pMgqKlIz83NqV6va3d3V1tbW3H+D9U7PhMZC3wJyGJmZiZSA+8gSc+/JEVw\nEbO/FFLti4sLHRwc6IcfftCrV6/09u1bNZvNoA08gmNQbIBSqRSDpil4geJAFz4hCeMiTXeHh5GC\nuECJ3ANOE+oA4b9Hc2l8omd6KC6bjkozQ6BxLqwPjoz15T1MT08HN85Z4FTOKRYQyECukhIBi3Zc\nupe8lx2lAk4C9Og6V4JGWltJ6ki6DLfKc8ELMuiZQpAHEC4cBmeoMzZxMBhEkYxngU/HicPX4/hP\nT0+DUikWi8E5gp5d7zgajbS+vh7Vc5wnQQY74dnZkzwH1XsoOQIdA3Ccc3dtpqSotGNL7jTTFILT\nGzhRmjOgSrww5PUWR8IEOGgjnOfR0VE87ySviR/pAeR2vogNzkV0kpRAQ55e00VBisTcx0KhEDwi\nDgLnU6vVtL29raWlpdBXetqJw6FQROTCuZKqU3TxCM/94uDh9kjLePFskMPDQ71//14fPnyItjvS\nbY+Wrk1NBxX+n4hKyxwCbzYozyiNi0xsRm8SSB9Tsby8nDjEjUo6KRBowS+CHdIjHBMKA4zXNwkB\nBj6ZzqtyuRyoP5vNxvsiUKANZDye25A0DlZwvDhUvtsHLIPGJAWfjnNko1IMQY1BpRve1p0QG/n+\n/j4CELbPrFpJ4dxAjn6oHOm7OyCQPaiZd+Kpf6fTCYcKuiODgcoibSfDKxQKwY/C5QMsCKYgT9fS\n0jp9fHwcrcWAAPYR8iGns3xvw116cQmHx94n0AIAvKXTW3LJLG5vb6OzjHdJhsU7ODs70+npqTqd\nTowoTNvzn3pN1IFCDLMQpFpsdOcZXfYBoqFShwiZ4gyVSu8yIB3DmWaz2UCOSJ4eHh4iGmPwvBR/\n2RgQXAr36pIaoh7pop/hwn3T44zjbLVacWYQygGQmwcVrxh7ZZyNg1Ng+PP9/X30+oIAcZTcI79w\n8M45gySpPoPSXa7l3UjcM/o//i3vmHsg7cJheNDCMYC26CtnbUHYdLwwV3JxcTE2DTSKy7hAm/RA\nE4xAcmgieX/Ie9KqDYYzEzwppDiCdxkd9k7KTZDGSeOwc7nxBHiGtDANisIb7861rewLnBN6agqp\nBEwUKjgwaTxoA6flRTJSavaopETwdNkU0ib0ljg9HDiO2gdZw9Om9xufnS76ktFReOQ9uX3B9yND\nxIFLSfCArSPtazabcQgemudJXxN1oF5ZhndDL4gTINK7ceAYkcZwUiP8IxGehYb8J8X1XmxHbBg/\nMB/n58J7uBl+BiTpLxFE5gqDw8NDNZtNnZ2dhXMEfTKOjXZCkLg0fslwmxTGiPRnZ2eJdJKNiKMm\nfad4gKPnOTEWd7ySAinS3UFFFpQJWsWgSYGQlXAfHCAHaiDAUQRx1AraZmgK/O7q6mpUwj2ToCmA\nYTEoDS4uLiIt5B37sw2Hw0CqiMtBKBQRcQbYJ/e1trYWgy1IP3k2UKxTLAiy+/1+oihDIJ+amtL5\n+XnQGcPhMIpbBFyq0DgT7gV7lBRyMHSrzu9dXFwkgh0V7Lm5OVWr1UTgx3lBCdzffzzhlKo97xwH\n54VN3rPvO9op4WVBxufn55FJEBTYE36IHp/llA+OH7rK9arsO9aYI4K88IiTZU0oKPJuPFNKZzF/\n6jVRB+okLy8NTksaE/RwWfBtpM0YhEsUOPiMRZbG47pwzhi1D6S4uroKjg/NH4uM48C4/EA05xNx\nyhgDWsMPHz7ozZs3Ojo6SqTmvGAXXvNMjnpwzKC1p3SsHGkiKTghRNp8n89hBC1hYN6hBTrC+Xj7\nKAYNJ8ZGY+CHnwKAoZIu4sgp1OFkvPNnaurjrAD6wtfX10O0jk0QSHh/7oBpgEBXCkLkWaEnKDqB\n1khbmfbT7/fV6XQC1VAI29jYiMpuuiCBc4Kjw/nSaUMlnBNKcQAEOYI5zQMEC5cwLS4uxvsFObJf\nyDKWl5cTNsVz0/+fy30ccLKwsKD19XXd3NwkxPROP3FhzyB/qDOq6CDwqanxWVFkKigDnA7A6bGv\nvFDl3VpegIRygOttt9s/4kjZhyBvAipzJrzQzBpRe4GLzmazifPnJ3lN1IGSJrIpObIUSQ5p1tLS\nUsJpYLgsFlGXh6ba66kjvyd9gqfq9Xo6OTlRt9sN0TvVej+PBdGxd+2QOvFicHKkZqQGJycncVYP\nHUAYD0gTIySSYpDuHHyDXlxcSPo4Ho/z0SUFmpc+Kg2KxWKgQZCp6+l8Cg73ATfrCIdNw0bH4HCE\nTOeXFJwUa+fKBK/ksznK5bL6/X7oaGu1mqrVqur1ejgr0i6CIAUeAhAIHS6QijhcGZpB6BNXBeCM\nmMEA2iawkr7OzMwElYDdoipwp+NVYFAa64bEi/QSCZ/zoLwrNjRUQrFYlKQE1+7ggOIpXUakq15U\npFh1d3cXR5tgM85rOt1FdoFjR7fJ/eAoucg05ubmYgQdOk0UAekz3UHZOFGoj+FwGJInTunN5T4O\naZmfn09M5gJ8OArls5gjy7qxF6B0vDgFQKPuMclrog4U/RowHsF8uVyO6MZwBWm8iYm6RGeiE5yk\no1ivwBGpSOmYFkNFV5K63W4gXqqNLPhgMAjjBd3R0eBVQE9VqEpeXFyErMO5QjawF6i4X5yxO1IM\nFWRB9xZ98S7WxlgGg0GcL+N0AEbHmuAUMEqEybRqgshIfSRF2oUTZn3Y0KBNL/w5n8VAbDg9usJQ\nFvjIMTY5WUQmk0nInlwnCpXC+yPTweng4BlfhmAenpXKMZPxeZ70+UmeKaSLnzw3FACODioFbhz5\nHigQu0WZ4CiXdcC++Hvn9vk+Pi+tryWrOT091evXrxO0iReE4LCZO8G5WaPRx2EetVpNxWIxHKQH\nD5dFZbPZ4EWZaAYqPjs7i3t3h83fZ7PZ6C57/vx5DBi6urqKI7m9k8ypLwL57e1tDPzGKWLHrKO/\nK3xIuVz+eU9joi9aGkduHIc7FTYb3AsG4gUOij+OCDy1cmTY7XZDMrS/vx8pFRyWO3FJCV6UTYjz\nRJgLquK7fSgF6Q8bgudl00NP5HK5SCfhGF2L5tINggdOkNQY7pdN5fwyx0b4MA1E93DHU1NTCVRK\nJR8k551R3AcOEIdEgQLjIxg5NcO98mcEKyaLM5vRNYLYBYUT59sofLheGEoIh82moVKO7fBd9FCz\n8Vk3gorL4niH/l6e+jsXiTslhbM+Pz+P++ZzPB1GV4qDo7DT6XSiUMT6+khC7I8UGYcCSsN+0DEz\n2xNbozhJV1C3240s6v7+XsfHx1G83d7e1vr6emSASOWw1ampqdCuzs3NRUoPZ04K7Xw4+4T3k9Zq\nY8MuQ/PagfPFBHWKhARIskY6p9iLPmgEHzCpa6IONJ/PJwoTRD8quhi9owsXz7NJ2ETuMKVx2ot8\nBCJ8f39fv//97/XmzZvo9rm7+zhLENnFYDBQoVCIc3r4fPSJGIRXI0EZksI5kW7Cifn98m/QOsJd\ngUxOT08Tsqf0RvWUHiNFZpTJZEJCg7PwdkbWlco6NAip1sLCQhRn6IKBw8KBplEHXKOkaNNj07tu\nECPF2RNMKOigNfVeZOcVuUjD4TrRV6IX5eckxXtg03iXm4/T4/u8EQOqgMDI+rHZ+RlfC/4fO+Ve\nCJY+1YnKOCkmgYeAjgPluyjC+BCewWCQmBvL3mHN3GkCJgaDQZxp1Wq1Iuh6lgDVwx5hDx0dHSmT\nyahcLqvZbEYr9Pr6egS00WgUA0bQ+kKL4eyhMaBisEuA0vLycsxIpZsIRUgmk4kiIkd58KwEH5QZ\nOERmXbB30tkDXX6FQiHsdZLXRD8tfdaQC8Xd2Jz/AqqTysCdYvwYMAURR1EMB3n16pW+//57HR0d\nPXmOjjssFtT1o4i2WeS0HlMaTzgiJeVMnYuLi6jwo7WsVCqq1+tRLOn3+zo8PIwqKKmaND4yxBEs\nSAsUCY81GAyiD5yeYe6Nn4XroTUUB9HtdvXhwwft7e3FCYlsIJ8tICV1uhTZcJTeeMCfgQi8COF6\nW/69O7Q0rzg1NRVITlKi55kCEgiNIiXpmTQ+7gGnmtbZgsB8g/NvXOrm0jZHpNxn2olyD0h6vKAi\nKTY664B9YTsu7Kco586cAIeTwA6cDsK+JSXoJcADwYjqeLrIx55yDa/rhMlkQPbYjXdTEcQo+OCg\nfR8yQWltbS1mSPhRJ4PBIOZQnJ2d6eLiIp4Nmo2iGoAHHtr3AoGaYic/k844JnFN1IG+ePEi4D6V\nXvgM0iecIL/oBiE1ppvBeRfSPaIekpBWq6X9/X0dHBwEIf7U0QjZbDYI7dvb20iF+D6cKOmYj6Vj\nwxMBmbjjlVa0f2yker0ewy+QcOXz+WhzBVl4xRnnxyAR73+nmooRMaEGLStrTjsdo9QcuVHIg4RH\nCvOUYJ5nZnN6NdMRgAulcaikVq62SOsAuZ5KmUFbjhYJKl5QY/NzDyAVd5xOR1AAJM0kwONgcBLp\nxglfk7RjdcnP0tJSdI9B26BAqFQqoSaBf+cd+ikJ3s7MO0DiBq9HkY8rncGRHcFlO8pnXQhWFJA8\nK3L5EDwm30dgX1paCjkUTrndbocO1DlMHKikoBNYL1c+AG444I53xb3R/16tVmMKFevp9gToYF09\n8LBek7z+LAOVkRIdHh7GwhLpvELmBRCMHwQAomMjoeNjJBqCaw42c+Nz/aZHaYh8Ipo0rjj6RvAp\nOun7Ip1BYuXTvbPZbEJ5UC6Xo1tiNBrp+PhYlUol0ebIc2I8pKxUJp3zxCE4xwkvCnrxWZGlUimQ\nVT6fj+ITg3E9S0gXTTyAOeKRFEibwOPpuVds05VtLj4XDpYedvrY2bxkDaAUGgOcR8WpSEoEAewF\nuuLk5ETHx8cJ6Q9pKbyd9/Y/5eifuqABGLItKfi3XC6nWq0WR3pg59gg93x5eRkSHd416TYOyO8L\nuVman+fdwykTvHK5XARBqDSAg1Nl0njcHYUqv0/2C+vORR3i9PQ08Y5ZH+wKP0CmAQBgXWgPrVar\nWl1djXF6SNK2tra0ubkZ8wYAB2hT2adw3qD7tKJgktfEEaj0Me1ot9sJJ4ixeoWMyOhGwoLy4EB7\nBOxHR0dBuDOE2c/Eln58dlHaSbC48CFUfuFtQUx8lvNo3C/3550hoFZQJBpU7uX58+fqdDrxWb1e\nLzEMhZZVF9D7GC4cGT39UCDO5VHF9dQR54u8xIXNGLd3pmBk6fWTxogHKgRdJqmsd/I8VYyRxkeJ\nwL8hL6JaiyPN5XLqdDqanv44c7JUKml9fT3hwD29doUDqgM6Uvb29tRoNHRzcxOUDetO6opN8MxO\nK/m6pNeGoLqyshJ/xnBrUkjsgMIZwXM0GsVBbUjZ4IJxcszF9UYJ1phgRdszmQeUAmtEFRx0yJ6E\nS4anpfiJLXixl8tBBVIr6gvpOQo4aBQZVPopOLptUTil5bdYLIaNVioVbW5uanV1NdAn+417pziK\nk6ZhhDqFP8Okrok6UDSK8Jz9fj/60qUxxHbtoJ+L4h1BvETXfh0dHSV4TiK3C8Y9xeLPMFhHNkQs\nUrepqano4kg7XTaSpKiYcnY5Axbg4tAr0mHFWsDV5HK54H4ODw9jUASpEaJvZkGC0lwUDWIGaUjj\n4Rr83pUOpEij0UifffZZcFZzc3OJIzZ8dgGf5XIQT6/htKj0euENB8bPp1NingvRP9Vh3idDs9Pt\noOVyOYZCs8Ed3brjvLi4iCozk8H42X6/H9IjR2oEKHfGXG5T/mfuRKFdcrlcjAOElnGdM2kklJQX\n9h4fHxOFOh/fRwsjY/D6/X4U6QqFggqFgjY3N1Wr1eKIEgaYDAaDhKzIMzXepQ8x8U4ogqKkRMGK\n/QqPDojAubuiYmFhIZopKIy6o03bGioFkClZHYGCAEoxmmItmRgt3QATMrGfCup/7DVRB8pGxTFx\nnKtX5DwaOEfF37G5+HvO0Tk6OtK7d+90enqa6BDi53zIgRs2f0ck9n5xKSkSdv1huuABp0S7JUJz\nP5K13+/H8AIXnvOL0xq93/n4+DgGQlCE6Ha7YfhEUH6GQo2khD4Sp8e9st78WTabDX6W5yyXyzo5\nOUlMzYInRkoCZ8aGYHP5NCvnHemzhg9jjZ2fpAruqTvCbirIbEq4uVwul0D6bGocH/ZyfX0dTvPg\n4ECtViu0umxO7md+fj42ps9TdVqA+08HgTTlgZ1ISvSN+3ASL7JQ0GKmAtQF708aD05eWVmJQivz\nPSXFwBA4QVAaFBBTwaC8QK9oYslgFhYWop0VsMHx0X6ekwdX9i4BCykT9gmgAAUuLy/HqEmyLC/Y\nSeOxjN6phBqFo2KgWXgHvCdvCWVPs8egmBwYTOqaeCtnGtoTVdgI3n5FRGTaiovcQUO0FL5//157\ne3vqdDpRrMlmszHAlzQMdJV2Xs61uN4Rw0RG4dIk51+ZTHN2dqbj42OdnJyEZIrpSP1+XycnJ3rz\n5o3W1tZCuMv300m0uroaFUa0bxS1QGQ4de4biQzVS2k8zAJtIMGHUxTRQGKs3EexWNRnn32mUqmk\nzz77LBwawy6azWZMkKJaTTACKVMZx8mCkkmDcaCst2sXaUbo9Xrqdrtqt9vqdDrRREB12mU6bLZO\np6NWqxVrm82Oj38mxT08PNTp6amOjo7U7XbD8ft4Qzb02tpatA07L/gvpXsesJ662ANkWjgrRj2e\nnZ3p4OAguuZQVeBA+IUsDW0jaTp7i24qur1Ib13hgrifgwfJPigCcWJurVYLh4kDkxSFXvYKVBv7\n3VFmPp8PzTE2VygUtL6+HvpSRPiOPrExPmt5eTlqCE5RIDV0AMV+JgB6NgdN8VQmNIlrsqKo//di\nUZFMIGFKVwkHg0HMXgS5gJxwXoyl8lMnpfEEeqrBOERetjSeSuNFDSfmeQH0U/P3TgdQCaZodXx8\nHOc3NRqNSAu9Yr63t6f19XXV6/WELAqDX15e1urqavwcnwH3x4Bhr5rm8/nEkGUQN2uL8Jo0EMdL\njzT8JM7Eq8K5XC4htN7b24v1abfbEZBAwK5DxCHS+QXahbujdZfPcyUFsy1PT0+juIOzdSmPNNYA\no5lE5wjfiDMDyab1jwjrl5eXNRqNomUWVEP6mi6qpIsh6f9/SsucLmZhlx4sDg4O9O7duyiAQicQ\naPlFwYV3R9Wayfo8x/r6uqrValBGaHwZHHJ4eKhGoxGVbYa7oFtm0EuxWExwk0iSCGaoRbgfus9w\n8FAF0FJzc3Oq1Wra2dnRxsZGTFh7CtWztnCYflIqe4j9LI0HMLsOmDXxwdw463RxcBLXxB2oGxja\nSdI8UJ1zZBje1NRUoEcWBIfq0g6M2+UrOEhemPOERCNehleA/XPYOF618+IRwmYQJ3wdFdVMJhMz\nI0kfNzY2wuH41HOOqvAjOdxYmRQOz0UQ8uIDA6OpwGO43BMODgkN8iIQO2kxawYqW1xcjOdgw/hY\nQGk8lR8EitSGKTiSgi7gcDUXqQ8Gg+gd9+n57txwyqwDKJyhE44YKQBRoYY7RfsHF4Zygmov54hj\no57CY8tpx+k2zhrzyyvW8PIUbS4vL3V4eKiTk5M4sYGJXQjucRDFYlGlUinOf+I5/fPZC6g+mF7m\nfDeAgIHTTCiSxjMS0F3DgTLngGcAMZNpsJbMqsCGoBmo+BPQ0UVDCZCCpx2ZFwDT1A/ABFQtKfhX\npFH8W56NTBIg8ZS6YhLXRB3oUwUInGdabvJU9CF6O5eGIdCVQ2rgPa5wJxigLyQcEjwXaIV79X/j\nDpbN44GAyMaMyfTLwKH0ej29f/9e5XI5KvG8REmh1ywUCmGcbCQcKMU1j/ysIagnfTolz8RYQAT3\ntGIy/BYDJkUE2eCcS6WStra2Ij1m09EldH//8bgSNiGUwdnZWZw7VS6XgxbgmAkCCc0FoE0ORyMA\ngJ7Y8GQdfJ+kQHUUKCnCuDPlmVlvRPlkARx77elomk92JOqoGBsCuRNQyKZ82MjV1ZXOzs7UaDTC\ncV5cXCQE8jjOra0tbWxsRJcOTSXYAGtGJxMzHNJnYjl15gPI4YulsRwNYTpc4czMTAI58zz8LMgP\nfpJ7wWnxcxcXF9GDTuWdd5huJGE9UcT41HwCKMUv1oF37/UUz7LIKBzUTfqaqAP1ooUbn1e2JSUi\nPNGX6IVT42fu7++Vz+dVr9cDPZCiwI1gvJ1OJzFxhcKMzx/1vmrmQzLk189udwdPSlosFlWtVkOo\njjN2zSKbqtls6t27d6rVajFOz6uZaYROeksK7xP9ieoUevxo4EqlEhwyqSqFA4peaAOdxoBjgkbg\nOXE8Kysr8T18P+/EmyQQqVPpZqoOVdGLi4tY25mZmZBlsVZeeJieng4H6LwzRTbojn6/H4UIHLFP\nPPKUGFTN+eneNPFUEMQu3VGSsTgKQyFC6yRtmN75BnpHEdBut9VqtRKcJ8EfPnZ3d1cbGxsxhcyR\nl3eOSUpMEXPKyfeQF/gAIwANAi+8YS43PtoaPhmViAMjntOnSHnnHvcK/+tSKgqBpNt+n16X4H0S\noHDk+AACN+8FpD87O6v19fUIIq4M+dkjUC4WO43k3Kk6h8RievrMwrIh2EDe6YTx0UdMXyyfQ3EI\nx0G/Msc4MKEa9OmSFnfy0piXKZfL2t7e1sXFhaanpwNRMB4PhEjX0ffffx9IAMTjEZPnZ0NyZIdP\nDSe9h2fCqVUqlSg8sMkh+j16UwllDdHkra2tqVKp6O7uLjFshY3lRgi5T+cVCIETDznjh6KgaytJ\nt1ZWVkKRAW3CZ0qKNJsNmc1mI3CwOaFQvI2TohuHv/nR1xQaKTqCfjzt9l9uu5JC0cC5QHQQPT4+\n6uLiQh8+fIhiovODBEYvPvqgjX6/H3bJc3MOl88OgJa4vb0NhM87hAvEYXnQZ09RDKIQRUD2TA36\nJ5vNRsBiIhcOj+yBYAR/jHTLC4XD4TBs+PLyUt1uNxwk+5kGENCiy8hwdj4PANunCcZVHE4FASBc\n2kjgZy9N8pqoA3XjwxglPQnXcSDpYRYgDyIa/ayIy52rZLFHo1EUK0hf3Vl4X7angQwtdj0lqMA3\nkaT4DNIsSZH6cK88A6n67e2tTk9PE9Og+EyPnHCIdFWxwXwNXc5DAYmNxabF6ULi023E/bPxGR+G\nM0ZSUyqV4mwfglU+nw/j9t5jHBVVce7bN4AHR7KMbrcbnBYZBGtNcYtN79paf6esDcWvRqMRqJPN\n6zwo380aZjKZRIODX0/Z5+XlpU5PT0N9wbu7vLyMwIHaYXZ2NvhBUB4txtgGzsuVIoABAixBBztC\n8tTtdsMJonyg2JSW4LGetVpN6+vrymbH5055Qffi4kInJyexnigiOECOJgb64jl+G3rBkSxOjzVn\nhCLFYHrhK5VK8Oo+q5NnBvCgKuF4ad49YAPqiJMTmOyEzbO+oM9/SV3xf3r9f+JA09wSEY/BDo6W\nSClJv6VxCo2RuoSGKjDVN/qQXfCN0Bhn4MhDUuK7cCggNpc/8VmgPAozOHkcH5VxUIinTaAz0iK0\ni2hLiaRpRMQ6+hSqTqcTYmfXanLP0hhBSYo1cSRwcXGhYrGoVqulZ8+eBS+GBg+0RqBzqgENIOoB\nn3ng/BRSHJC5F2TYII+Pj8GVorDwrhgcJoGOtJQinLfTkqFgSyBmH2hM2kwQczuleInU6vT0VB8+\nfIhKNlkCdAv2QCHz8vIyFAikp6TkHDeCbhKtIs/F/cL1w6H6MS1+vIXXB0DZBHAQMcc3AyhwRkjo\nOKOJ4NTr9SKrymaziQMd+T4fECONQRKIERRLYMUWJcUx0BTKABjI88ga+Pf4DBwhQAw7S8/AYF19\n8MifYxKTNGEHygPgAKSxUbpIGH6l1WrFAWIYPM4QLg6j8Bmbzq1CjGcymUjh2aTo2TjqgaMJQEfS\nuCuGkXOSdHFxEZozT6VIlwuFQrwkkC1RkFQeVFuv17W5uZnQGnrfPseE4DwdeaZpEKJzLpeL1LlW\nq0XjAQbNv3fExn8xQucLcTw4QVJIfi6XywVK9YIJP5+eFuQFARCco3/uFS6L9efZvcDHM6V5dL6D\nZ/TTOV2GBlI8Pz+PQA3v7pP7vS2UYh6nqx4cHOjw8DBmO0AR+NQvECG87PT0tEqlUnB2BFE4Yz6D\ngOHNEVAcOH7Xx1J8IkARtPyX8/G5XC4miGGv5+fniXQf2yPFJzB6USafz0clHUULwdr3FAga7hKt\nr68XJzmARre3t4ML93ZgBx1MrnfkTVZE9sXz4xPclrAZD96TuCbqQJHP/HMkPFxGu92Owa6M+/fe\nbl4u4vNarZYo7njhAM0Z/eGS4s/Q0CFvIpWiksdmISXodrtBzpP+EG39F3Ig0tNSqRTRliIN54kz\nkZ00S1LwOXSLgJzT6J3LjYONRYcJz+qSMdYSTthTLO6ZK5vNhsKAdAou0qVXnt5KSjhgv1+/f5yb\nF/jcoRAY0L5SxPOOFtfy8fkgjfn5+XgmbDAddDqdjg4PD6M4J31E45eXlwndoNNDtJpyRMz+/n4M\nYcHmyCLIdAiqICgGBxOEca5+/AfzNJ3vdFSH/AlH5MfHYNPOe7qdENTIKLhfaUxdIM2jIwoQBIcI\nR1sul7WxsaG1tbWgJ3h/fDcOD6oINQWqEuyRYMzpBWQeabsAsYPyKdB5EISuIgjD1dJ0ghTMP3eS\n10QdKEUZUj8njIn+pCOkrIiLvbDgRZbp6emYYIQUyYsZIA/fxK41ZSAHUc2HmcCXMYyETYkhlEol\ntVqtkCJBxoMWQEho6DizHoPzqi9OgBTt9vY2OC0/ByjtOJ1LlMbIi99DYUA58Ozeo8zP+vOhjy2V\nStrY2Ige6lqtFnMfifj8HBvST0X0op1rPT2QOp8HooAfZAM8Pj6q1WolZo6SKoI8nb/y74Lnck0o\ngYYU/PDwMBwE7//6+lorKytaW1uLoJD+bHhezhX3lksvnuCIy+Wy6vW6Xrx4oZcvX8aRFdj2YDCI\n4yj8+x4fH9Vut+Nd0oDBUdYMGPbiHu9FUqyhc/lOfZDCegWever/1rXX2CznMpGZpPvYsS/WFW7b\nTyBwqZ23YOMInQ/1otLDw8OPagcLCwvhGwh6UC6zs7OqVCr67LPP9Pz5c21sbCR64X/WDvT4+DhS\nbxwF6TmRiC4SyHf+jBFdOEc26OzsbKSBJycnkVZ7+kcKibP0OZs4H1AWLxkCHZkJBReiNI671+sF\nj7K+vi5pHL1dw0fFE12pGxCOjcAgjec8sgYgOUnx790wfVOzTugyb29vw7BZd9/sXCAKH0BRr9e1\nsbER6KJWqwUac/rFgxJSFf/8tF7SC4Y8B5sRfhXEAPLmOAw4UN5jOoD473E+vn4UMphu7hOfvDpL\nQOX+nb/HudOr7/MceEcUgxi0vbW1FSPXfvnLX+rZs2fxrH6/jkRBuvDaZC+VSiXGFXqm5Y4Sp8Tz\n9/v9RFWc/8LB0mnGfTN2jyFAuVwuznz3gACKcy2yOyOX+8HpbmxsxFAY7pfCJe+PvcE7J7CjScYG\neefQK2QdZCl83sPDQ1BsL1680Pr6egIM/Ox1oG/fvpU0Pm5BGrfvgT5brVZMyWHoBkJdZCqkmqRg\nFFrcebhTgT/ztMWnf/OiJIVBuwGQEiO9AKVilBRBQG0ukEb+4QJ7aAMfmOAbn+JHOnWXkioAR6MY\nEDysfx9IkUgO0nXtG+tAQWF1dVWFQiF+Tysgz8l68b2DwfgwND7bZxaknVyaA5cUVEc+nw/OFQcK\nMoHi4c+cz3Jk69QQelOyEXd8XtjjfqTxZgfpUrTi79As4jw9/cV5ghSXl5e1sbGhX/3qV3r+/Hms\nJ/36vpYgcaQ9Dw8PajQawXFSkCS1BYVREPIpVc7zoT/m+xz5szekcWEJpMgFAiQVn539eJbYxsaG\nisViUD4/xSF6UFpYWFC9Xtfz589jOhlNEQSix8fH0CIXi8XYo1A80jhjgpYizefd43RxqhTylpeX\nExOpvFFi0tdEHejBwUFAfzRiPBiVd3qVEWKD+nAyyFGc16JKSmFhdnY2UbF31ABxzrlE0tho0oiO\nDhUmRmGcFElcCzg1NaVerxeENZIcKvYbGxtRGCHq+y8vrIA4vO/fhcierrrjkMbdI/QKVyqVRLvm\naDQKB+7tfyDwtbW1QJzQDltbW6pWqyH58Sq+p/+8QwKe3xP3jcPlZ7iQ26AacAG3pBBG44h/SqfJ\nPYE8/fgIR4sEbHh5xP0Em4WFhVgLNhu8NgUQVwh4dZuNyvpzwuQXX3yhnZ2dQGw+G5P7dmTlHDji\nejb7wsJCAoF5yy1cLg6e9+HVe8AEqS3zFnAwrDvX3d1dvH+OA6EGwPg51tzfq188Gx1gtVpN9/f3\nmp+fD+qOfYYD3dnZUaVSSbSgpm0qXX0HibIujFXEN0A5OPJMo+VJXRN1oHBM3DTjsbjc8CUldF9O\nfkvj9qx0Wusbh06gNImOwbLhMUiP2nBmICCKMtK4Ms+hVkQ+aIPZ2dkg3hkvxn171OTZPc0E2eD8\nvaMD5+HSKRwsfzc19XG6Tblc1ubmpl68eBFnL/F8FCWYB4mjKhaLWl9fD5TE8R/wnj4hx1Fe2lGR\nHUCnYPSOFPl+qAa4a5QVfC6BcjgchgyN/3fk6A7UgyW/T1esXZ6EwB7efGrq4wi43d1dbW5uJlo8\nucheJCXev6R4B1tbW3r27Jk+++yz+Cw6pEBHnjp6cGA9oRfQXEJf8M4orOAkeSY+D7oGNAkiA837\nTAl4QzIqMkWQaqlU0vz8fEiaoHw8o/Bg9hSqcyfK0ByoCGoOOPOZmZmwPSg10DROEnCVXkOvsTgI\nYb3Yf35/P3sEyiKkEZMXLvL5fHSsQFaz6VkAr3A6h4cBO+fD4vmVy+WCn8OhM9AVVIxgm43Ybre1\nsLCg6+vrcOxU6GdnZ0P6gc7t/Pw8UDTi3dvbW21tbWl9fT2MjOfxoyvoXKGKnM/no9jmrW2keO4o\n5ufnQ0f34sULPX/+PATNdI+gayXa4+xKpZLW1ta0tbWltbW16HxhqLQ0LlJ5iuxzJUejURxfUalU\nAt27zpLN7y2UrDf8M0gdRw1/B/VCz74/e/q+cAyu72QdQSd8JrQHEpiNjQ3t7u6qVqsF54a9esrt\n68HfMUf05cuX0XrJevoIQj7D19VbXJvNpprNpnq9XoAB3zu0H0sK+ovg5AHy9PQ00fwgjcfnOXeI\nQgTHyUxX9i2Sq6WlpSjwnp6ehvPz8XCk1V7YcwfIPqR+wLt23SaBiCyVnwdU8U6xA6fokFqRKcDz\nSor/PkWD8Y4ndU3UgRYKhZBlwMWR+pA2zM5+PL+E6MvC8CIwZqK+i2PThk0q7vxbGo1SoWNjs5Go\n6N/c3CTGujlvKSnx+ThUor4PApHGveSSooBGQcwH23rr2cLCgra2tqLVDvTHs1EYo0hCWrW9va16\nvR4ThaTxoV2Q//CWFJnQpNbr9WjFw1F5xdyLFaRdyGjglzc2NjQ3NxeFApeosf7T09MhkEavx+dS\nyXXaxau2fmQHG8SdqQckgim2gg0xF9OLIr4+rB3pI5/Pu+t2u0EJ8L4oEq6ursbBgRz5zLO4M8CB\n+eeig8R5uhSM4MAcVmZykpaDtNgTpPCS4twrHA3P7Yj+7u4ukD7FTqbzk41RWKUDK5fLqdlshi1g\n6z7cmOelScAVII4K4WqhK1h7gp+kRDbnBUxACvuL44955/f399Ew4z+b3ps/WwdKdKMSh3jdOZ+5\nubnE9B6iC8brjgwH7PAe3tAr6WleJl0llMZyDdAoaZunZ/BkCNoxWO6H4hX3ALJEitHr9aIKen5+\nnrg/lyoRMHwkHdGZSjeGxhEXvV5Pj4+PQeyjT2V9UD/A6dL9MTU1pevra5XLZe3s7Oj58+eq1+vh\nPP3dENlBSPR/I/r2dWQCOg7Rx88RIIfDYWLWJjQF6IP14X2CuEDhfm8+xkxSVKYpHPmwDZC/NM6A\nkMh46yD3hcPj82ht5HQBngvb4l7h9skmkHqBsF0ria1wOij0D/bg/B6OzpEfnTkgfv7+/Pw8MhnX\nEXuaLSnx//D8rmvGQTMF6/T0NKZH3d/fx3o0Go24X4pkvBf4Vq9xoPrwyWkU7kCb7F/snsIs3Kdz\n7+wj5hCg2ybQMP8UW/MiK2tBsXAS10QdqJ/pnc/n40AtFwZT5KDTB0LZBbw4FR8qi+SE3lqcm5Tk\nx/xyCM8LIiXg7yVFiyYGCyJg4AH/ns1MlMYRwtcixs9kMuHw2MBsQKrliKw558W5KIoEdMPwnKAH\n567gu0gb4Rmp5FI4QK7ERHvPEBz5gJIajYaOjo7UarWi4okgHOdDxR7H4c4M+ZAjeFABKIZgA0oB\nMfAs/Jfn9M8ilUvLajwgY1eSEjwwwmqcIFe/39f5+bkajYbev38fp3giIeJeQIgceIczgKMm84E6\nwJnjQFFg8Ln8LJucgNtut2MSGeid73CViHdpuUaY/QS1Q3aI4+W7ccytVktv377VmzdvYnapF7eg\nrShk7e7uRp3DB4c0Go34fI4ZgV/2Rgru3VP1dMHHsyNXXBweHur169fqdrtaWlrS6upq2P3NzU0E\nBKiG/yscKIbpUQcy3fkuSbERFxcXE8iSKOn8JjIhumGQGvnCQCZL43F5LBhG73InHCAO2Qcy47wx\nVE/xfBOx8b1ghCMFzXE/GPv8/Ly2t7e1tbUVFUjvUMLg+QVKRlozMzMTETg9rBoHxr2Rts7Ozmpt\nbS0cHu8kXTBi49K5c3BwoOvr63C2BEaf74gT9vQfFANyBsHhOKEESMtB49yLz7Zk4/DZrCeZA/fg\nBZtmsxnpI7QGz0B3C98N2pE+8oyHh4fa29vT27dv1Wg0ovPHuUzW6erqKj6LIiQZCgHHZ67e3Nyo\n2WwGmmM0H+vv6gNoIjIJtI/eNkvWwbOz9qB3SdHPT0DDcfV6PeVyuTjpQJJOTk70+vVrvX//PlAk\n2RjPRXDiYMWdnR3NzMxEcwwNMhcXFxoOh1pbW0vsd+6XlH56ejrRxOJFZ56D7ILs5ezsTHt7e9rb\n29PV1VVkcsViMRp2QNrSWK9NEKzX65NyeZNP4UlfpGS/Mv8Pv1Uul4M458WDQHCoRExSFKq+yFQk\n/QhB8GcelVl42tZcTMz/w7PxC7KcSiT3j84NzkVS4p5dL4gTBdmxFgsLC1pfX1etVotA4/fKeDPS\nLApw7XY7AgUj3iRFRfPh4SF4WSqu+Xw+5DbIYJwv9kIJQeb8/DwQNOkqRaNqtZq477TOlWfmfRFQ\nvXCIk4a/o2mBDYuD9ncLrwf35oUHshY2DQNGQFagZXrTSXdZS9LNRqOh169f6/DwUMfHx+p2u4nm\nCtaM/6bTTt+w6DmhVcigut2uTk5O4mhugj5riB3Ozs4mimK8a/4d7wXNJ7McoMngxTnRFg6bn5c+\n0jHLy8s6OjrS3d1dNLg0m83gtQEyrPX5+XnC0eOUGW7DYBnPGpiYTwblHVE+B4A9kM4coXj6/b7O\nzs705s0bvXnzJg6YHI1GQYlcXV2FZBEdMPJEeNl//a//9Z/m6Oya+DQmIgUbaTAYBKKg8lev1xPc\nhg8ySFctSR88dceJgVC9Wk/hJN22xveQZiDvwbmCoDB+Pov03EeqET1nZmbC6fPiSRX5Tn6WKEva\nkubJcPp8hldy+fxMJpM4sZI0D4ciKTEhiKgPnUJ6mf7lXBTvDNE7wYRTEX12qmscueCdhsNhQt4F\nsiZgMbqPIEl/OHQBabF3//BMcNL+nkjdoVGwIXhV7p0sCUTP2LbLy8s46+rs7Cz+3CdMsdnJVCiI\nMtUKRwx1A1UFBwfaIkMhg3JxOL8IGDhmsjo4UOaSEnQ4Suby8jIcKH/PIXtUrNmj7CNJUazkF7br\n9At7M5fLBU8KV8nzE5j4dzhSgARr+ZQ+1p07lzvw6+trHR8fa29vT6enp4HO4a49i2VfExD8/Uzy\n+rPoQJnkIyk6jJDL0EGzsrISqa33LztZ7+kzFV4QAA4SPaUTzkRnHJ30cWNfXV2p2+2G0bIRQS5e\noJKSkh5/wY4mQUIgSw6689SQ75fGyIXn8Sn1GCrPhwOUFHwV6S+k+v39fUizXF5CWsd6p3uTveoM\nmsBYcZhoNEH+oPJ/Tl/nvwct4qjhDqEgUCNgJ6AVV16ga8SBudTJCzR8BgNcQMfcMxO5eF8UnM7P\nz3V4eKhWq6VWqxUDbrzt022Fwcesp1fcQe4gxF6vF3w1eljuF/sluwB8sIb+9wQzjj0hcEIdQBs9\nPDwkOu1Qf3AgI+k4yNv3F+/f+X13mr4f+Az4coCEc5jYjtNTaX6TPc7/YyeupPH9eH19rUajEbMB\nWEfum+DLPuTd3d3d6ejoSL1eLyGLnMQ1UQf6zTffROpCGjoYDGIYAI6LjQAClcbtcZDrIDCE5pIS\nnSquF5PGrXl8DgjB29rYuJIitWQTuLjfUSf3jUHiQEntcdRsBB8S4To5J7NJt+Dv2DD+LPwZNALP\ni8iZISyM4ANl0YGBQ2WjpJGiF1pcaJ3NjmcGPDw8RJGEDhYvPKXpAGls9C6qhwIAIWLcaS0wcw98\nbZ12wCFCDbjky9USPjwCNIsDhQOEjmFzegruQcxtCi0tbZp0ukiKQAjCYy2wXxybB0Zva3TnAne9\nuLgYbYm02WYymagyU/TCQY5GozjUD0AA6nf+/ylpIO/MFTG817TTwy75WfhHCoF+FAxr/pQz9s98\nyo74L4XVdrutRqMRygivQYxGo9BUc9IqDS/tdvtHHXaTuibqQF+9ehXEPhOsM5lMVLgxfJxUqVTS\n9vZ2GOfi4mIQ0URJr7xCJuNA0wM4qNjjyJBOUO2ER2FoA4aKUZCOe/cFG1NSfLendThuL5a5+B2k\niAOAwG+1WhGdkfWw4UGKRGPuE97x7u5OZ2dnarVagfpnZz8O8mWIbL1e/5GDJH0EueOU0xIh0l7W\njPeGU8KhuUxGSlZ+vRECBOl6QP69p+meZXi11kX+pMP8v6QfOWyXwM3MzASF4cNk2HBsLNYZ25SU\nmKKFuB/9Z6VSiQIf98KpmKT+rCXpMsMufESfF1g9cPpxxaurqzEwGfvs9z+OhaMI68eYOKL0JgNf\nJyk5pMaLvG7zHnypRTAAGU65VqtFkbLf78cpBdlsNqgT7Mu/3x3qU44TgNXr9XR0dKS9vT2dnJwk\nDhqUFEEIitDnYJTLZa2vrwdS/lmn8IeHh4Fger2ebm9voy8eWO2jsOi3ZSOjectmswkZEMYlKTEc\nwREim43OB3ggZg5yyBrEPEYCrwZv5w7bq7hsepytc6ZpmRb6PoYPo4mEYsC4bm9v1Wg0EoNkS6VS\njEDzqIzDx6jgqnwSlW8Y+s3dMCmwwDc7vwSC5nt8Ij/vyyVPaScKNeE8KsGEAJbWbTri8VTOeWZo\nCZwCaJyNnnYWtC/y89iAD8bmOaAleC/D4TDWgYEyBBPst1AoxC+yG7ISaBPuSRrztqwP68kmJ9iz\nHtwf3U5ra2shPSNrg6N2+gkdblqUz+/9ffnaecqMA3c75xfvpVAoJMYfMr5vbW0t2noZYE3A43Ox\nAadf0vcgJecudDodvX//Xr///e/1zTff6OzsLDE/w0X3HsB5FwsLC3HuF0eETPKaqAOl3ZGiEJwE\nelAWz7k3r8bR8gUNwOBUL/bkcrlE6gP3gnOZmZmJI2ELhYJKpVKkNlQ/XRYD2uGe0vwgv5iII42H\nx6IZ9RcGn0Uq59OFpHGRBYKbzcwz7+zsaHt7O9oCXcDvSIJ78hSQoOQowqcMwQOjp4V/pAgFeoVn\nBI2x+dMpmDtQp1Vw6F755PeeSjoPNz8/H5V+2j6hIXBwXmjhIhNhLCIFJByMz5d0B4G9lUolVSqV\nmAz2+PgYiGk0GoXmlZTaj7NwBwDl4UUvHOloNIrMwnW8BBfXg/o647zTmZsjc56f9XUHmn5f6VTc\ngyN/T3EQuiTdXru6uhqtwKVSSaurqwltLYEaG/DWTeyO7/PpT9wbhVYUJYeHh/ruu+/09ddf68OH\nD1Go8mDjzRzO3/J8TMvygeuTuibqQH2SkvRxZBcTf3zajTQeAIsA++HhISE+LhQKIUsAOXnKg2Gm\nU4zZ2dloWcRxS4rzkNjooEQceJrDc4fHmeN8h6MiEAcXGyDtJFwKBQL0/vHR6GPv9ocPH2LAB62a\n9Xpdc3Nz0bqGMfKzIDgMj/uiI4zp8jhQ5Cak/3CmnAdPEYZ1ccfl2YAjGZdBQbUQQHjX2EX6s2gs\nAMnQZusFNt6Pfw5ol8o7qTOoDCfiwZD7lsYynmq1Gn3+pPqke2QyoGGQOU6Rf4fjdgfId5Jalsvl\nGOJyc3MTnCmO1FGoUyvp9Babp/pPe7EjerdJLjIFnKfXC3CcPviFQFEulyNlr1ar0Z7LLAXXojpt\nQ5Xc9zB7mh54jrlxSRoZ1unpqV6/fq23b9/q+Pg4MkgPoPwMawHIcs4TNI18bZLXxGVM0pjroGjT\naDRC19fpdBKIgmKCt0SyoPAfFJUoQkBKS+PiEWiCs9sxVIpE/AzcCZsNp+wvHiNmI/opmXCCoCM/\nG4aUju/DoTtydV6T78LRDAYDnZ2d6ejoKFo2d3Z2Iv1AEO0HaKXTM5yVp0yucYVU50wljuOdm5vT\n7u6uqtXqjwoM0nhQjNMK6aDjDo0sxO/Tgx3FFE+zNjc3Y/6kI2C+D0fIe4ISoOUUnSxBFgfhm8hT\nRQLP7Oxs8PU0K/B7HAs2MRqNEnz+8vKy7u7ugv74/7V3bj9tbVcXnxsMIQTjC8bY3JwEkHqqRqqq\n9iWt+ty/tn9J3yq1JyTkgDE2voMxOMa37wH9psfe4VQV9ZGO9O0loRDA9t5rrzXnmGOOOZcidqKn\n5eWnXhDFYtF2dna8Ft3MXF7T7/dDoTL8uTpLDDKZeEoro4Ylij7ZJ5poZf5B/nCs7CGOpEkkEu7c\n6K/JHtVmJIru1cDR0EZ7RyQSCcvlcv5ZUHtEVZzW8NNPP9mnT5/s9PTUQ3dF16xBEmvkT/b3970/\ngUoa19bWPORf1Fj4MXXcHAuchgSIbSHyVZqi0g4qRRh4KMI8FinHG+Dd0+m05fN5e//+veXzeecV\nWTDU5u/s7DjqpIWYLnSMD94UJKCJILy4Vi3xekJ0QjR+r+EG0hOMOeiBkBpuk0UCOu92u9ZqtVzD\niuE2C0tfeM10OvVuUqAaCP5Go2GtVsuF7FSkaA22WbivwHNoVLlgwlGab6CawKAQ4iLL4WeU4tHo\nBMTH61hXfK5WkjGf9Lzk/XnNaDRyOggZkZm5IULzqFwuiSc2piaEUBGo4yKrjrHW4gIzc3qGM9/1\nzKlOp+M19zgpKCt658KZw5VSB/7161drNBpOl2nmPMptwu3C57IuKfGlP4KekAn6B72R9FSVhNI8\n6lBxNFQsXV9fW7PZ9AZCqVTK9vb2/LNSqZStrq56BVaj0bDz8/OQXljD76gMitfxGVBA7H/26q/e\ngJqFpSyPj49+Fni323X9py7KaM9IxPCE84PBIOQl37x54+fHqEaOigckIxhCwu1kMunhsjZ2xUCB\nIjBumsGMoi8WKNyhduHHoxIe4w0J99DkDQYDa7fbnuRivjDEOAvkRFTuYPBBEaoe0Cwvvzebd69p\nt9vWarWsWq1ap9Nxmdnq6mooMcU9q5fn3vleE0XahYe51cowvbdMJuOGDgNKUkJb60UTehjgKO/L\nJooiQBKHVMsoWtLEm3ZbIuQGJXJPOE+OGlFagHkGmWlWHwkTiSAMGEZyd3fXG7bQ/NnsiZ4g+5xM\nJp2Dv7u7s2q1apeXl3Z2duZyHu4/mhBSjhkAsb297Qmx/f19r4qDx2TfaWSmipTnZHG695WXRnpU\nq9U8B2Fm1m63/fjnzc1Nz1sEQeCHzmnZKmG5ItCoDItoUc+RZw5YtxpVLWIs1IBqeGQ279DCv2yu\n5eVlR1iEQZzLQtIJ8p6/HY1GXn1BZp/wk/CdtmkaTph932yE5ABeFh7RbF4ayqZS/k65I0J/0Ap9\nJc3MdYiz2czDfYh/UCGh9MXFhXU6nVBCAsNDQ2cz82a3QRC4I9DEliKnbDbrTUpA4tqcpNFoeJ06\nC291ddXF7XBWfJ6iKUWCbBQ68HQ6HTe+SmWoVo8Fvb6+bltbWzYejx2NkMnFgai4X2Vrunl4lhgZ\nnhdfS0tLXrWCMSFpaDanJkDvGAfQGjQB9dVws4pauR6OqAC1kk1XaQ2JIZzK9va27e/v+6mYzDd0\nVavVsnK57E1qOp2OV0vhfLkvnovSJEpvoWGlmxeJIBCgqmN4D9aHytJw2BqtKfrUBBJGFKNPv13m\nqN/vWzab9c9AM670CieKUpzCGsNJaR6CeY0a/aiaZ1Fj4Q2Vzea8JIuT0E67x8DLYcB4IGSByVgC\n6zm+gHAzmUyGsuj8TBEAYRqJGyaepMXq6mqoLBIBNDKY55AQG48QKJvNWqlUsmKx6CEN6I/vFZ3w\ngB8eHqzZbFoQBFav161Wq7mRiSYSVE83HA69hyP18hgKegxsbW052b+6uurGkwYf9LkkxB6Nnlqw\nNZtNq9frdnBw4BSAIm+Mp6Kk29tbP/WyVqu5g+T6tBcohp/74LnjzDgrCadrZh4FsJF53oRmyOa0\n9JGQnnlstVp2fX0darQBImUdUOapzpF7ZO1oVIXMSXncbDbr1T7T6VONPc5T1350n1De3O/3fT+w\nltD8cn80BUHPCy2hDhonwH3t7Ow4hwnVVSqVvMtTVA8bdWDRohXWDBpX5fiVGgHBd7tdF/tT188c\n8fwVnGiFFnQcOYBEIhGSwUURNmXjRLWE7hjPX3UWnia+yr8w2RD//I4QlZCT1nHqSdTjaaaSxc9n\ncD4NvBK8DBl+spRsHAwVYSFekvCV61DdIvfCA9DQrFAo+JlCSqhjZFU0zb3jHKguarfbIX6UhZXP\n5+3du3d2dHRkqVTKqRBQLEkIEBBlhlwLhQO0pyOM0tNLJ5OJdbtdq1QqtrGx4WcmaaXUc9GFoujP\nnz9btVq1weDpdFUkSUEwPwSPzkUIrlUFwebF0fIZqlKYzeYd10FJoFkcMEiF+RkOh1av163Vanmt\nPYlAqqv0aBN1wpPJxBEjz53QVKV6dFza2try8looKpBhtN8D63x19elY7FKpZK9fv3YnBIjAIGoZ\nJtfP3JEcwZjBx66trTnCzWazXsWVyWTcoPIeIDn2HesdigvErZSXHtMCJQFy1qYigBRVCOD4mDso\nOK08Q37X6/XcqLIGsAca3mtTHt17XJuZ/bpD+FKpZOPx2HVfIIJo9lQzgnCgijjNwpwGm02RJf9n\ngWtnbZXWIKcA3bK4NFF0c3PjHlA9ZK/X8ybLLCwN4SkPxGCzwBThaN228nP8S7XJ7u6u9ft937jI\nR05OTuyHH36w/f19pzQ0RCLRMJlM3BjwHmxc2tPBe0Z5TjNzxQPhfbfbdWIfZ6XhpYqcf/zxR/vy\n5YtrbOldCZe4sbHhDaC1AQjGzGyO9AjlFEVC/FPlFgSBN8tgLtF1ahadWndOvGQtYZBQhdBDEkSD\n4ZrNZqHjlTHMS0tLnuigqQ3oWNcx65y1iDNnHqCiQMJ0ycdAkYjBKHM9oDP2gMrXiIrYVzgGTtYE\n8dKD1sw8EojKkKJFK1oSCn9NcglwgKPFKJPL4FhlUKrZkzFLpVJWKBT8SO1kMmmz2cxSqZR3kaKn\nLShbZWw4YThbUK/SK2bfJ50WNRZqQP/4xz/aYDDwfodUI5jNJSOgDTYmoRPln3hFHiCIRMMKfYg8\nOE2YqNCWRWdm/nmI3RXNRNEODwBvpiGOyj1Az51OJ8R3gojM5pnsaDYbKQhGlFDN7AnNHx0d2W9/\n+1s7PDy0bDbr94isRhEofDJat5ubG+czkXfo+eZR0TYGrNvteoY+m8365oiS9f1+3+r1up2fn9vl\n5aU1Gg3PgpP1h0NkLrXaSRc38877Y/hQHLB2omd8K1KKJhdWVlbcECs3qnpVMwtVARE+YuyJHJgb\njCyJHIzL1taWR1pohuHrMKAYDdYmfChJUwo/tre3fb8QCoPmMKRqMDEcPBeOK8Fps+YxqqokYU64\n9mgWn+9RdUS7GWFwMdxaETidTl37enBwEGr4QVJUS2VJXmkUSYTI/fFsNTJVY6wAi3sDtfI3v2oD\n+re//c36/b5dXFzYxcWFXV9fW7vdDmkXNWQDoSE5AHKTjGEBsQngQeF/Xr9+7XpPMucYQk0O8LBI\nNig6MDNPlrAB9EHgsUkqKGe1sbFhs9lTj0QaHLMYaJ7B/UQz2WxWuBtE/+PxU/15qVSy3/3ud3Zy\ncvLd8R1mFnpvTp3E4GtJI5lcNXAYEuU22bC9Xs+q1arVarXQcbG6oO/v763VaoU6/LAJ+VwSLTgk\nRbAYZI0mcC7qNJUDZu4UfeNIQM+qB4VvY92ZzR0Zm0sNm0roaIzBMRpwaaBQ+noiMcJgYRxarZb3\nJNWsONytajExQuyFXC5nZnOqgEoeaAFa0plZqNIMyor1p4ZG+Vwkhqg5aBgNKuVZA0wAF/qcVDrE\nesWQEzITcam2ms9E8wr3qkMdIMhVnThRh3LoDBLK2rJQDeZzVNT/OhZqQD98+GCPj4/27t07q1ar\n1mg07Orqysrlsuu5zCxUxROtkTebZ/JAWLVazRGUok+60yAjwiuNRqMQgsATY6y17Rsc1nQ6rzia\nTJ7OKKeMMJFIWCqVskwm47wZSoGlpSVHCSoaz+Vy9vbtW7+/6ELBiMJnURHDWUWcX1QoFEJGn2vG\nSURLHVns4/HYjeH19XXI2D1HpLNB7u/vrVar2cXFRagrv/aNpPplOp2feQSqZ5PSOhBDBlrT0F0d\nynPIAmqEkBz0x/dkZKEeaNLCWsHZatUa64svFeXz/O/v7y2bzfpaZX2wHuH2SI7gAEkAQRVghMgm\nk9BQCks5Ob0unC6/JxGFk4F7RFeKY1Bjp9dAMpW/0XPaZ7PZs8oN9gh7gCbN6kigaczCxRE4d6Vo\nUHcAaIrFouVyOd//0QiNL5Q6JB85aVb3Q1T1oe+jhlPVOIsYCzWgm5ubNpvNPPPH2Trn5+d2dXVl\n19fX1u/3fQOwQEgCJRLzYw8IGTAC1WrVO8fjsakAgeTHkDKpZualdzxQrR7SvyMpRCZ1c3PT9vb2\nQnwkmjU12ISfg8HAew6Ox2M/NgB9G4ZOPaDefyaTsYODA/e8Ozs7HkLrojALH7drNlc/ILfh6ORq\nterXpA1nMV66UHlf9JPn5+ehz6PBiZaO0jFIQ0t9tjz/7e1t297e9vCMzwFBKqrkfVBLYMQxchgD\ntKa9Xs+lWUQC0Abcrzor7huDzfUQ7qNB5Oz6RCIRKhDAwBJCw4fS7ENRJ8YXY0S2GOOnvLhucOZE\nETkGj8QWNBhUGPplUDtRCOuX/+thgXSwX1lZsUKh4NfOtfLsoWOgq5B0Ma96j1rMockp7uvVq1fW\narUskUhYoVBwXSpVTvD3OD1N1nJvJFqhCgBcHF+C49Q2mkpDLXIs/EgP/mWxkJ08PDz0Pn50AudI\nD+A8Ym+tjyfMeK4pBw+cTHYul7NcLuecFIsDrkVb3WkFjwqwWfSEDaBYpEHoMQmZWIw0PqjX694I\nYX193atr0P49h4K4D0IPvK2WB/Ia7h1iH2PGtTSbTWs0GlapVKxSqVi32/1OP6mhbJQ7RH3AWeOg\n6slkYplMxueb7Dpnw1PQAPdN1rbdbtv5+bmHmgj3oQZAbL1eL9RNiE0JTYIEaWnpqcS3VqvZ9fW1\ntVotP4NHS/2YM57n2tqabz5Q13NhKUoAEnMgP2RfGBDuD+MAp84awvGhjIg2I8F48pk8Vw2xOXyO\nKh562ZIQWl9ft8Fg4FSL9iKgNwBcLCG0zhdghkgOvSg0C2skCAJHiCThzCykGcVBafiuNmFvb8/V\nJ7e3t2ZmXh1I7kObb/OZoN1kMukJNgVQOLbxeGztdtuurq5CfVPRZGvv1kwmszCb94sJ6ZlEOMjN\nzU0rFovOoVGdQHinpDlnqKtxwLOZzTk7+CCOSc5kMpbP5+3o6MjDP5I6hCVqLLnmKAogjCSxsLm5\nGSpzI2QiLCLR0Ov1/LiQ8XhsGxsbdnh4aLu7u7a5uflduMZngL5AlLopFQVybTgYqjXQuaLzJGyn\nwoV5hG/DqCwvL38nL8FAkjGFahmNRnZwcOBKB7N5U2pOGCgWi1ar1ZxzhQe8ubmxSqXiJbqbm5ue\njMBQoNwAgRCeImV59eqVGy6SOOVy2drttqNOTQThNHGGcLRsODNzgwpiZo1AZaASgdcl4lCqhp+x\nFpSnxsixbqBiFA1H6QTur9vtuj74/PzcKpWKDYdDf3aazNzb2/OuY1wLjlSBCI4dRI1xHY1G3oRH\n+2yyj1kTmogD+HCvrFv9MpvLEdPptM1mM28kjXOCAqC4gfdnb2LM6bWKIb26unIwRkkylX0XFxe+\nF5Hj6RHeu7u7LzVx341fpJSThYEXUoJ5Mpn4zSwtLTl3BW/08PDgjQei8qH19XWH8Uy0kutIVdhE\n29vbnmSBC41m4fQhgVDNzEMe5aLgM7VCR5MCZnPdK0L58/Nze/v2bQipadjI5+BN4fV0EYGW9L27\n3a5dXV15mawemkdVi4btKjwncbW+vu6OiNdreaPykXCK8H1QGUhyOK2TUwhAQBjjer3uqGw8fmoA\nTV031wpCUXUGzgqZEE622WxapVKxXq/n90iCgbXG60kCklgkvNcOTtPpNFR2y/oFDarmEGdkNo+2\nWHPQUSSk6GAE16cNUrgW1a9y+Fu9XreLiws7PT2109NTrzrSUJQmKKVSyXZ3d11XjAHl5E/WEzSI\nqhZwgtoABmqMtaq8KUgcY6hoVENlTZ6p4J/CGI18uB+VTeHsQcYkuKbTqd3e3loymXRxvj5/ogfd\nEwp6xuOxffjwYWG27hcxoGbhenEml82DzovsLVk1zsjhIRE+wAGura25keE1hL/qaREhB0Hgn6Pl\nmIo+NXzFyEJ403WHhxzlrRi6iHSBE1ZUKhU/G5uFNJvNPJtNRht9JotGFxkbjXmq1+v25csXq1ar\nIdG4Zsq1i49qZlOplFcqBUHgSRgaMWgFCsUEqCFor0flld7z8vJyiHtSXpRrWF5+OiBwfX3dhsOh\n3zuFFFtbW1YsFl1Pid5Thej9fj8k09IQGoOWTCa9E/329rYnAHGI375982ODQWPalEPROBseA6lc\nIQoSjDXVYFTG7e/vu5Bd6/zVgTLH3W7XqtWqNZtNu76+ti9fvtjp6ak7CqUbmHcQeK1WcwehOloc\nDCOqxzabI/Hb21vX/2qGnGbN9FIgEcQcUSzwc4OEGfuIvcj6Zr61+k1pFW0mtLS05HxpOp32blQY\nX3pN3N/f26tXr5w/pgcH0ceixi9mQKNDkxUYq1Qq5aELjVLZJCxkvBmoBC9DUwySShDnkPpMKpt/\nbe3p6FSMsUoi8L666FTASwkeyETvQys5lAsimUKIUa1WLZF4ag3GPbBhLi4urNVq2XA49IxmOp12\npxA1oP1+3xqNhn39+tUuLy9DCJJrCIJwT0w4JTqI03hlZWXF2u12SKCvPQA0GQMCJoGUyWRsPB57\nwkF5WeZoPB6HsuGPj48uXh+NRp78eXx89Agjk8mEqtQwZKqBBaWQ5NHNjBSJJhk7Ozuu2dUEIrIt\nKqpQioB2oRNwEDg/EC69bimzpTXc9va2G9NcLhdC6mZzrpO5RpRfqVTs8vLSKpWKNZtNK5fLVqvV\nHMmrTlOvbzQa+SFz+nvWNnPFGtZsPWsKI06SjF6e0+n8MEacHQYUaoNKKNUWRykyszmtp9IoReDM\nNdeOU0QFQh6BZ4jhRiZJe0bO1eK10FWz2ezXbUDZNPp/9XjRCabEj4SJhgE66a9evfJyt42NDfv2\n7emUvclk4vwHm50MraKVXq/nyEFDLjNzrSTVKmdnZ3Z1dWWtVssbUORyOTdSqknj/jT0iOorkdn8\n9NNPNhwOvZ3e3d2dNRoNz5Qj7CZUBu0QiprNSxvJbtfrdUcg2vCC+1OhPAsPdcHe3p7lcrlQVhc0\npPfBs2MoX0glFnOJIgH6gewoDogN8+3bN3+OtCpDJpRIJDxExEgQhSBB014JRClmFioLLBaLXu+d\nzWadxoFG4H6ZN3qQrq2tuTZS6SMQpsqUEK1jJMkYo7rQhsEa1irfeXNzY9Vq1c7OzuzTp0+uVtEK\nKuZU9xdRDOsc6kqTNwAEoif+j4HFyRNpkKyFwjEzD5lJlCKHQ/VC1Z5eo36GXq/yvny23otyuDhm\nJIBID7k39oSW7vI6XfPakwN6Z5HjFzGgSorjXZjg6MbEqJKJV8kHoSwHV+3v73u3myAIvL5ZUSsL\nnKYLcFHIG6hq0mQJh7MNh0O7urqyq6sr7yyUSCT82AeQBUZKtYNR1MaCmc1m1uv1PAnQ7XYtCAI/\nGx3RNxpNkgOj0cjnYXt725MpJBlA4NTFw18quY8312cCAgAVmZkT+FAo0cSSiuTNzDckPCXvzXNW\nFK7120EQuJGEa1MDDT+rUYJy1Hwpnw2Hh+SpUCjY27dvnRcknNZGLxhQPTJFIx1QFskskhhI1zqd\njk2nUz8xs1AouIPgWgjvMbxR6Rj8L5HEjz/+aGdnZ17woCDALFwdpINnA88N6uJv2VdQWtqohffF\nMUfPtiehBL1AaIzm2cxcmaAGXg2n2gb9fTRpi4oEhcBoNPK1RaSq+wrjmsvlXJ87mUw8SuW+aa5D\nD1cFA4sYCzWgbDDlNfFqeAbdlHg+eDcQBCE1xoTDq0hckLTIZDIecmn2kPdFuIthGA6H1mw2PTM9\nmUw8bGERQuJzxAPZbs7boQUe4TkZZAwH2jRQEsai2+26MeX/hLYsAJAXiQw6BX379s2lKwjZOZZD\nK7W4Byq+QMqqt8RwKb9sZt6TEfoDrSPeG2TDhoUT63Q6Hkrp+TfqOPXZg6BBAjijtbU1P1CPSiBV\nTPA9iBzBN3POZiqVSp60I/uKgD3aNEMVGBhJkCfXirQHznA8HrsSge5G6XTa6QmNnuDtcAp8Fk4D\nvo7KL0JQRXTMkRocrlu5Z5xDlE4iMUZy9P7+3tck788+YG30+33n/nkN/CdrFo6SZw2A0aGyO5Ud\ncg/8DZxtt9v1opnhcGjJZNJ6vZ47Kfa+OiMKanZ3d/16oFfW19e9QxOSqOec0P8yFn6sMTeHrIcQ\nk5tlQ7Kg2XhouzgCGeKeZgNbW1vOfcCHgIBubm48w49kitCSEJ2EDSWmmuHXbCCcnxoh0LAKvTGG\neEyykul02obDoSM0NiXGcTabWafT8dAVo4ax53Oo/JhMns7ZhscbDJ4OowMh4zzYcDgmDKbW5Wvt\nPMkqngeGAqNIhl7DJq3CIoFkNkcXGFVCXEWyXAM/A6Fh4En25PN5y2az3pWejQqHSzhHU2ZdN7u7\nu6HWgtwf18/aZCOpaB3DCdJnLjFWUAyDwcAbmmAguVdQoFYAoUPGUfH5OvfKR2oIyt9H9aJEAFpR\nR4IwWoZJD1Ca4lCC2u12fc1BteDcqtWqDYdDy+VytrS05FRCt9t1GRR7K5PJeDKPnr6sCbPwccnM\nOb9XR9JqtVzb22w2vSMVOmb2JveoSWQKT0heUlyDYoZ9HJ3bRYyFGtC///3vLgYfjUY+sdRGJ5PJ\n0FkyNDhAQIvnv7u78xM6aYtWLBY9I6tVKqALWtBRHbO3t+f16FQ3lctlOz8/DzXtAN2YzRvQwtHg\n4QkXuD6t/UbYn0qlPOSfTqe2trbmVUhwNJPJxL0swm+tHGFjgXaCIHBNIGJusse6sUF6igA0k6kC\nbTq0E/KYmdf35/N5T6INh0PfdFAsaD3JKHMiI+oIkD9zS6iMAWDD4KwIx6kB393d9RMfqezBGHA/\nXCt0Cpslm83azs6OFQoFD+PUMCoK4vlq8pH5U8kNawL+HKoGBK8cKtSEOiQcYHSdYdyQIRUKBe8Z\nARoE1anBZw5AViSuMKjaiIPcQbFYtLdv31omk7HRaOTypkqlYuVy2Ru2ABzIKbBG1tbWXHyP49X+\nBJSyUjAAL6o5AnUSmgdhPQJsPn/+bPV63Wkp6DOipfF4bLlcztE0zwzHynPHxij40X2wyLFQA/qP\nf/zDSyUVqiNdQLrDImMydJFoyV4QBB666+mSdJ1RjSYeHkOtncP7/b5zhqo5ZWiYyHuyADWZwWbW\nEIpkAch5PB57t3UcBo2g2XyE/RgbTdowF9AaoHPK6Misggi1xNMs7Pl5L4xIVNs3GAzcAS0vL7tI\nGWmQagjhYg8PD61QKDjq4/gUEDjJoVQq5YiN63iOm8PQHBwc2NHRkZVKJT9yQpNh3FsQBG7ICacz\nmYyX2ZK0gX7ROcaJ8cxxiNA7GDbdgErLvHnzJqRTHgwG3lCEqh4MczabtZWVFU+0RRvKgMDpVoQa\nYHV11TlWnIAmZV6/fu0hbT6ft1Qq9Z3yQ/WoHGRHwxkUGMvLy548JSqAWoLX7PV6trKy4k2RtcyW\na4OPbzabVigULJ1O+15hHWKcMb5aukurxdPTU/v06ZO1Wi1Xn6ysrHikxuun06n3HdB9qE1MtN8A\nhlz3xiLHQg0oGwaUgOEj3EMHajYPTdgkipj4+ePjY6hZBiESG1F1jmQbMcIYHrwptdNaVcJggXIN\nGAQ1lmZzvoYMIZlgsqyg1J2dHTs4OHAe6ebmxur1un82CwjjxPUzL/xfw0oqcdjwvV7PNxnX9pwK\ngntSDSjGnXtVXjCTyXjIhuPDy+fzeU+m6XnlPA/KCLkHeOiVlRVHbITirA9OfDw+Prbj42M/1iPK\ndSmKCYLAKQZev7W15eEan896oD8AfSJJtoBA6fGpZxbhWBQB8xyCIHDuHvQJP4iqYTAYuAHj2hjq\n9FEz7O7uhsokoXK01d7q6qrlcjk7OTmxUqlkhULBe0jo32NENjc3nQvmOSEo7/V6LpPi2aF/TiQS\nrl6BklBaDaOOogHjD0AAIeqeQbuLvpq69evra5dvlctlu7m5cYqMRC2IGhAGpUe0q89KKYzovmBP\nLXIs1IAWi0WbTCZe3gd6ZLFrmRYolfBby+/YPP1+38WveFcaI8A9IrfQcAGUx+ZgYanBei5jqGS9\najox1lrZg/Giga2ZOeqgOSxemsYUzWbTPbCKiaPaObNwySaZ+2636xpSPLg6nih3xqbTihiQHqGu\nNoBA6wgNQTgIOs3n894xihJZdTjIfMyezgKHM2XxgyDgr9FMHh4e2v7+vlfrgIgZylVqqa/2kSSj\nrvIt1fleX197D0/WG7zmaDTyqrXNzc3QplTpDU5uOByG5FBBEPg55jj96XTqfPPDw0Oo+o4BqIA+\nwcnwc9Y3jiedTlupVLLf/OY39v79e8vlcn690+nUE39mc86a6yTyIPwn3H79+rUjaI22UJfw3qow\n0X+RFGl0p31H2TuE6jw7pRKQ44E2AVnoXPVUB5y22goFHFrBpGsH+6OR5yLGQg3on//8Z+eR6BCP\nocSgcUPJZDKkzTMz93QYS7N5rbSWOpJIGQwGIZTFw2fi4ZCey2JGs4GakdW/QQje6XT8jB8STEiG\naDKCwaCTOwkyFiTcMAtQuS0zCxl1Nu1oNPJqEjKL0cy0VngxCNmz2awdHh7a0dGRy3uKxWLoJFGM\nAyGvFhWghGCzkf0G7WmBAZwp/Vq1blsz8drgA+OeTqddbK7GU2VUrAWQn1bkKNeqYzKZeEOTi4sL\nD5MxtPDWRA7RED+qXdTMOmJ5UK62C7y7u/PWepw2yutByGbzLvvKeYKELy8vQ885lUp5FRiSPj2E\nb319PXRUi2b8+Vz2Cu+J7jLai4EoSREx60tRHOE9YXwul/NoTKu+FKlThlsul53zhDZgb/A5S0tL\nfrbU+vq6G2CSjMPh0B0e1IXK0lBTEA0Nh0N79+7dS8zbs2OhBvSvf/2rmc03LzdBAgQOheYFaBHh\nL/AyyGTYeGwercnlWGMNtfUBE6phTOHnaDenBkcRp2Z94W4olVO6Ac9P2KvlfPCx0+nUQzcy22S1\nGc/xMlwPCIpMKZuJBQLCZM74TDPzDOzJyYn94Q9/sA8fPlipVLJcLhcKdTUDy0LDeLbbbTMzF5aT\n8OD6tIerVgax6TBu0Ywzix1EgWPQOnHmhsQUTqxer1u1WjUzczG8OiR9PQ6s2+16qIgiRGVMqVTK\nkaKqGZ5zvNBLakBBY7r+BoOBVatVpyp4RigPcAw8T86h57hhKufW1tb8TKB8Pu9fuVzOJXVQXFwj\nlJWK0TUkpgWg6o/ZE1w/hkf3RVQRoHJBxPZUtZELQDLFF6eMXlxcWK1W87AerhpAoftPj9sGzWoj\nHTMLnXGl3a64Dwz9aDSyjx8//jfm7L8aCzWgR0dH/j0TTkjNeTVK2CtK0UwpN0/IBqwH1VFaRlNf\nvCy/g6CHi2HRc/ojG09F/KAYNgwVFmSraaRwc3PjR/CCAJD2ENaCoNjQoCwqYrg/kJvKZdSY8z2b\nAyOnPKluakUYyWTSTk5O7OPHj/aXv/zF3r9/HzL6mmBSDa02Zul2u46K4ESpk9YEHoYKDS1HuWAY\neT7MLUe4MC/a+V5pDN6XRMPXr1/tX//6lzUaDReG53I5l7FF5wHnR5lmvV53B8ozRhwP5UTUBCWg\n0QHfg/qVNlBe1ezJ6VAth/OAt8PxaNNinJoCCmRoJAuLxWKI/1MpGXSY6plvbm486YZRHgyejtyp\nVCrO20apLf1iX3KPPHNF0gAcrWWPvgconabXyKh4XTQvwT1Bw+FA0+m0r0XVceN8WJ/kUHge0GG/\n6hCeOm6zcHmWVsXAhWHwWIwqESK8m0wm3jQCr0TYASVAyKgPL5FIWKvVMjPzECsIAtdk0sgCDwYn\nBi8GF0X4TgdseBs6nh8fH4eyf9FQEmMAD0kDj2Qy6cY/im4UxWFclQMkk6zXinqARb26umr7+/v2\npz/9yT5+/Gg//PCDpdPp7zg4CH54qslk4oiNyhPmiKQVHKVKVdCq0hhFDS9zzTVTL44MJ5PJuECa\ne2btkDmv1Wr273//2/75z3/a6emp9Xo9e/PmjVMF3L+K80HSnU7HG3JroodwGs1mvV4PdW/SzLk+\nC41aVD60sbFht7e3bohYXxifh4cHr4rCoHGSrDZYVsNEOA7i3dnZsXw+H3KEyvnhuJHLXV5eejEA\nYvrHx0erVqv2+fNnq1QqLjNUIbwqOLhXHI6K9c3mXZhUYwuqximCfs3MwY/K+PSzoxEZDp4jc9rt\ntq2uroaSUd1u15NX2kBdr11BwyLHL9JQWQcTEi3Pw7PqQuDn/AwDRhWPEsO0NVOEysOCAmAxYrwR\nYJPUeXx8DEkuCGWj5/xgwDCmhLQg2q2tLV9EIMvQJCfmDYcLhYKVy2UPJ1j4qjnVsjtNfuE9IeiZ\nDz7bzBx9Hh8f2+9//3s7Pj52TlbRnV4bG4ZqEA6V004+ZHcvLy8tl8t5IgnjiwGt1WrWarXcYAZB\n4HOoSQAWu0qrdM0w95TalstlOzs7s1qt5slFjOH6+rp3vGdecKwoIPRIGK024t5B1yAjKlqYa64L\nh4FRIORGUA4q4m8eHh6sWq3a3d2dJ3A4hZL+tfl83udBETTPHd6bAgaNlPhSmRjhKidAgMz5arVa\n3zXbjmoko8aTZ6fHvDAUrdPXQIsHWJfsfwU9ynk+pyIx+z6hioGkzwTNRDQXopVnrMOf48n/l/GL\nNVQ2m+v2dKNrYkGF1oSC6i1YKBgarRqhy5KWicIJRkNxDZmjek6MG5o+jKWiP2QVGFHQ7PX1tR0e\nHobuXxNRGvJxbUi7NNRnTjAqJAbgeyifA3HqIlEuczZ7qsrZ3t629+/f2+HhoaXTad+UUSPF/zWT\nDr+s5x7xedpshISOOpnZbObcKfITiiS4T+X/SFophx1NfuBAVcStYWqj0XDhvxY2ENpReaPytaix\nuL+/tzdv3jgiYt6j1Uw84+h6RlUAX6kZ4clk4mXAJFcJLR8eHmx5edm7T6l2EnUHxoVSZ5XoPLf3\nKA9lvnD6ZuaARdv4PVedo88Bo6TlkZqgAfQEQeBh9u7urs8TzxHahDnRsF3pkf9kV4hg2ffQRqDZ\nqB3A2Wg12n/6nJeMX7SdHQ+A7wnXqSVnYyrMxovycNRj4K2U9I5uhmh9MGQ8hgfvRaiPEWLy9X1V\nZsTAqKIK+G+bEygnrJlQ/Z7r1SQLn4VkiWvh7/HyXD914SQ4oomZn3s2zBkLM9oBiM9WfpqwSd8H\n50Z/Txavcsw8XyRmPEOlNJhr0AoayeecNO+n70N4B5rUNnu6XohYNAPN6wmflZLRdaqohk2rv1Mq\nQg0SLeMojtAiCtaKUjnP8dzRZ8m9QG8xr2bzLlnkEUCdUX5Xr0HfW7+U6tK/R+upKD/6fKLSPVWi\n/NzQz45SWlqEQrJZ95cCHyLaRRvQYLbod4xHPOIRj/8nY7GEQDziEY94/D8asQGNRzziEY8XjtiA\nxiMe8YjHC0dsQOMRj3jE44UjNqDxiEc84vHCERvQeMQjHvF44YgNaDziEY94vHDEBjQe8YhHPF44\nYgMaj3jEIx4vHLEBjUc84hGPF47YgMYjHvGIxwtHbEDjEY94xOOFIzag8YhHPOLxwhEb0HjEIx7x\neOGIDWg84hGPeLxwxAY0HvGIRzxeOGIDGo94xCMeLxyxAY1HPOIRjxeO/wM+smfijBYrMAAAAABJ\nRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 1\n",
            "    beta = 1.0000e+00\n",
            "    J = -3.9947e-02\n",
            "    grad_norm = 4.5917e-04"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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JO5E47pIDczmDQlsoqMfwJaq7kppWDGcJDtcXMmhzVRvd/fh72PbEeefIdQaJ\nwlvO48CqldmzBDqbzVzw/O3trT08PFiv19uouB/JMyIEJjAN/dH38fsBti3O5/PEfIU9lQ+dx3oN\nOKfW+kWnXq3NMJvNHBdoiqbPyaSCDr4rpPUyF5y0BHpxceF+hvSJw5efrp64Qxw77MHmyjqoVs92\nDwQj7zJoa/jUPqFG3JIAux2+k0mbw7NWq5XLf+/1etbpdOz+/j4RtsQe04iIXdjmhNr1GbbjszCi\nBa01ww/nUE+4Rt+gBCUXTka9Bk0CUBI1sw0tUf0K2exzUXX+Xq39kDZSJdBiseh+ZluErze0OmAW\ni0XCWw3sCgHiLB4U4sCD4nJ3uCaWhkMGbZ/3kot9jEYjV1oLqjeKPENy5ErlUI20mjrOCy8qkzG3\nQonkGfGW0MQMzH3OAvTZV1Wy5eB/JkutMM9VqrQnlUqiTJxYW1oXFZ9DpSdNKkkTqRJovV5PeNHY\nBopB98U7woaxWq2CvbkZqlJPp1OXwcOE1u/3bTwe29PTk63Xa0fonAq3TwAyrhlVdbgu4d3dnctX\nVwLlceA8YyZnnBtjwZPsmCloERG74Au9CmmLah7Ae1ChintJsZYIgQehjGwT1YIhSpxsitPaqJru\nfaw1lCqBXl9fb1ws1OZsNuuqyvf7/UTPGRChBgFvC6Zn1R2e7E6nY7e3t3Z7e5tQheF9w24IOyzn\nEXMaKbqBZrM/WipDSkSa5f39vd3f3zsChX0Hzh8mUKjx6kRSbz4X6+VSfVECjfiZYMltuVxu1QoV\nWPe+qmFsCut2u847H3IqYe2wfVadXBqnGspmTAupEugf//jHRHwaO3AymR+N4biEF1efrlQqiTCg\n9Xod7GLIajWI7eHhwb5//25fv36129tb63Q6LiQI6jS3PkZEALoycrVwbefAdTphq8QBaXc4HG44\nkTidzecdZVMGT7S3bk0QEbEvXjIn1RzgK2KNAjqsCSqBcgookyc8/DgQGsWmw9f4WHYhVQL905/+\n5EiR0w+Rw/309GSDwcCFAXEQuaqsIZWBA9gRBgT74cPDg93e3tq3b9/s+/fviTJwIFD0ny+VSgmb\nIyRRLmYCAoX6jp0SZgI2FSDWTMMl1G6jtiOzzXxeXwxrRMR7BoQBXrtsukIqKshPfSdKoFqMHeuX\n46e1C+q2LLBDkSqB/vnPf3ahOZyjy95ptllywzPOVYXthCU3zlKA6gsSBoF2Oh1XwQiSIQoRc+At\ndi7uGwQVAgTKEqjaP1Hgg51V3KiNy5CZbVaTUagRPkqdER8RnO7Mkuh0Ok2U0PNFxajtU6u69ft9\na7VaGyYwX2k/jhZ6LVKXQGEvRGwj7JwgVkho3JoU8Y4sJWrMmS+n19cGAx37mLiZQM/PzzcKdqDd\nAjuScrmc+z4maoRgcP/qUNplKKQkZICPiPjo0OB/DkH0hfvx2uekFM5wQl95OGC5jsRsNttoEths\nNlO7n1QJ9Ndff020H4b3HeQ5Ho9ttVo5woR9crVauRguLqU1n88tn887dZZrgCqBgtS0GyKHFMGg\n7WtaNRwOEyW7tNUCRw6oeYKznvZBJMyIzw5EoLATldV0jfFkUxjHeRaLRbfmIdDg4PhSFopOlkDb\n7bbL787n807tVnunmTlSy2Qyrr4hpDptoKYhEr4YNU2pZGJTW6M2rUJoBUR9NjwzWeO93CojOnsi\nIg6HSqTq9/BlVnGVJy7Cg/XPIVL1et1plljX//Zv/5ba9adKoNVq1RUG0HRFJjh4qZG/y2o5HyG7\noBqjQymcIWLDQ/OZAzT7Qb+Lj+joiYhIB1iTZv6qafrz2dlZQpjxtfaGbwOV3kCg//Vf/5XadadK\noFC3OdPG10sbMZnIu9XYT60mY5asQo9XlUZ9/X92SYY4B65rsVhseMiZRKOHPCLiuNgnHZULB/li\nTEGgnN2EyJo0kSqBos+zmW1IiJAKzcxyuZz1ej2bzWaWyWSsWCwmUrl8FV98XmxfcYRdpKlxmXp+\nJWUmzOghj4g4Dfi0SDbJQYXnFukcU54WUiVQkBvsE8vl0srlciKRHxInYrbW67Xl83mrVquuuDKT\naKjsvxqWQ0ZnliY5d5Zz09XDDxWds6qixBkRcXpAogsLPRw1w8WCDi3Uvg1HqQeKeEutPYi0znK5\nnAhwv7i4SPRKQnM5LewBcJ6tEiJ+589wPjpXhkKolM/kwGEQZhZJNCLiRAHTG6dGg0RDfeTTQuoE\nCkkOJMrFBbhSNALnOUcdKZZckUW7c2pRAV9BAa56hAZUCKBH6AMOeN4Rq4rsCIRFsO01qvCni10F\nLiI+PrQLKqr0azxpmjhqRXqQl9lmrxJ2KHGGEFe+1r4rfG6WPLW+JwLwEcSfyWQSVZi4URYkXRAo\nt9gAsZr9cCbBjhvx86EpsqqeqaMxboAfHxxfqnPj5HPhAb5QECCr0IVCwd0k3s/V67XtqZ6TKxxx\nQC23dcV3QBItFosuZxbtRGBvvby8tEwm44L7u92u5fP5RLuC6IE/LkIprr73sb3bF3yNz7JdDPON\nw+MiPi6wZhFb6guNSgNv1heeSe/y8nIjc0cLBoTI0yzZZ4hbsXJVlul0ambPYn0ul7NSqWTNZtPa\n7bZdXV25XvQgUDOz+Xxuo9HISqWSq1HKQfRYhJFA0wFLBiohcDSHvp/rq3LxXJ4zWioQscKa/BAi\nabzuivqIOH0c83kdlUB58nHYkE+dCi0m344BUmb1nUvUDYdDF9CPIs2VSsXa7bbd3NzYzc2N60df\nLpddcYH5fO5SULPZrLOJan/2KIW+DmrH1uZ+Zv4WEfgMNk5uF8Nhb/g8J1j4aq2yRIrr8s1D2PVZ\nqmWzQMTnxdElUDM/kZrZBoGGMg985+KFhKIC9XrdBoOBzWYzy2azViqVEmFSV1dXjkARMlUqlRyB\novAASB6hEFykQDtlRrwMrInAVBPylDJBaR602r21kwBvflwykYtN+GrWaowwz0Ot28qJGxGfE29C\noIDPGbTrPSGECHQymdhqtbLLy0ubTCZmZlYoFKxarVq73bbr62u7urpKhEtBXZ/NZi5yAN0y0a+d\nK0ehQMo+0ocmAHx2NRD2bu4/ru1yeYNlCZQr8cDhyLZvRG2YmSNQpPVx9S9udQuNAs7MUPcALhS+\nrfNrxOfCmxIokIYhl8OY0DYVpfKy2awVi0WX6QQCbTabzvZZq9VcP3pkUIFIEcrU7/etXq/b4+Oj\nK3OHuqZQ8XddIx9mm57hz7Tw1PTCNmtOt+N+VEqgHK2BwtghAkWRGERVoHMqb4baPYB7VzGZwxau\npRAxlyOJfk78FAJ9LTTWFKFRHFeK8v4IYYJ9tFarub4rrPZhkS4WC9e/Hk2ufO1Wn56etl4jpKVQ\nHyQ9PgOYBKE1cEuVSqWyUYuVVXgmX5Y+fc0AVQIFgYJEuYMAtAmfaQGRGOh+wI3QQjbbiM+Dd0mg\ngM+rj7qiqAOK7CeuM6rkabbZRbRQKDgi1ULLSogKjlHlwH68n1VBs8+T5cRmF4SVNZtNu76+tna7\nnbBJc0dFlUARusZxw1x13MxcJwGQns8cA22CCZQTM5hA0RcLHVmZ5LluwmfZDCOe8a4JVNU6M3PZ\nTvP53LUHYW89V35i8mQJhGNLQaIs5Wj+/LZr4sXNTeqm06nX1vdRoU4gmFVarZZz7DWbTatUKok2\n2L5QNxAcnqM2HzP7kSMNc0y1WnURGrCDct1ZnN8nga5WK9em5vHx0TkaoU1oiNtHfo4RSbxbAlVv\nPEspFxcXiYLNvOjUUcHhUrBVatc/2Ni0SpTPlqskARsdCkxzzyiuhfrRpRdNfmDHX6vVsqurK2u3\n21atVp1d2mwzUkNjQLkoDJdA5DqvhULBptOpC3WDHZPDmcySdnXWNPDMhsOhczpCk9AQt89kkol4\nxwTKAOkxWYaC9Fl63EWALLX6+lT7ogrYLgs1Fd7+8/NzWy6XNh6PE4H6n0V6UTsmzCrcXrpWq1mh\nUAgSqC8DibOQ2CaJjoxqlgHhcWFsvj4lZCZQpP1yc0RURff1xYr42Hj3BIoFA9UNUk6orXAouwnQ\nLCeON9SAbVXjeQEiuL9Wq1mz2bRyuWy5XM4Wi4WNRiMnjULN/OjSi5KfkhqkQziSuI6CBrqHgt35\nu8ySyRtcN4FTiTWQXsnZ7Ic9FSm/3DhRQ9y4xkPEx8e7J1CzHzZMLBj13uJ1n3xYVjXhoAKJvlQC\n5RJ9tVrN1UgdDAZmZomwGMQkfmQoQWGcYC7hseYKXL5nya/6s/7ORJrL5bbWNdC6srCBzufzDWkU\n7SLglGS1/zM4BSM+CIGa/SDRkGrO79t1nm2l8vaVQOFprlQqTj1FtACIlLuXTiaTFwXovzeorZlV\nZQ33Yk1h3/Nu+z/bwnH4HHe62XIaJ+yq8/ncyuWyq+gFAkUM6zYHY8THw4chULPXB+jzYmESZY8v\ne3tDEig7kWDjq9frls/nbblc2tnZmcu7x8LTTqAfEWpOYclwmyqexvcCiLZ46Wc1BpVD3CCBcv3a\nqMZ/DnwoAk0LKiWpB587d0JdY3LQSlGw7xUKBffe8XjsJBdeeB9Z/dtlw9ylPaR1DYcgZLtFiJtP\nAo34+IgE6oGPQDm4mr35+jlW431ZM4gd5PAmDgJntfEjwaceq73xVElHQ+Y0xI1TSZlEozf+4yMS\nqAdMhKzGa9UgXfyqnrL0CucIslpCsaUvUS/fG3zj5JM8T5VI2ayD58n5+PosP6o9O+IHIoF6ECJC\nPthux5/zxSpy/Uqz52IlnIbIttX3Zgd9ybX6JM+3VuFfA54PPgJlKRSFbTgVNYT38qwjNnGSBJrW\nhHrNYuRwJp8jSVVuVVGZIJiEM5lMIrZ03wynnw3fPapzBq/azA3SvM/7rhENpwydEyBQrihVLBYT\nOfa+DQb3qWP20dN5PyJSJVB++NtaJezzef5926TS3V3DTw6FzyHE9SuZTBH8rmE4Klnh/7Ch+epZ\nIg3VzFK1ob2EnELhPBofqQTKhxZDZjMGt5VWAvWR8jaEyGmf+9v3nPpZXzYVMs5Q0BvkyfVGfd+r\nY6atwF/y/H0hWS/5jO9et736zuFbsx95U0iVQFFd6FDooOsk2vWwt6mH/PldD5QJIJPJJDzqrLIV\ni0UX/I56oqqOm1liUfD5VHoZjUauJB9ysENjsM9YhCa87/2+z24LOdJYTSUBJgNI3cg4QugPNiPt\nZ8Tn5HPzz/su/JeMg36v73eOKQWBVioVq9fr1u/3bTKZ2GKxsEzmuYgN1xvl6/MRJ1d1CnUSfSkZ\nhe55n/OENlL++7Y1G5qzL1mHr8Fb2NVTJdDhcPjqc/DghnZjn9Sh6jIHTTOB7kvKyFHHguEaltVq\n1YbDoc3nc1uv1y519Pz8PBGWhKwortiDa4EKiPPVajWbzWa2Xj9nVKEcH5MowptCEooSX2ji+xAy\nQbAdd1uNU4wZSIBz+yGBov5nvV53baW1jqeZbZAH/+6bEyzp4hwqKfN4hNJ5QyTNY8xFX0CiKIoy\nHo/dhooNkm2hvu/j8eKWIfi7PvdtOEQaD53TNx9U8witq9Az8o3rMSVVvYdjIFUCfXx8fNXnfQ/B\nt3DwXjN/ZgtUQ59kE9rd+Xz4HXnqq9XKzs7OXGHmRqPhyC6Xy9l4PLbFYuHeUyqVXGM6rkt5eXnp\nviebzW6cD9+DeqbcLsJHKj4C5YkeksR9k4mJR8mTO19y9SNeTNtaCINAi8Wi1et1u7q6smaz6boC\ncP1P3jSUjFU6YzMBvocXPEvLKjn7bK6+xa8xufg7NIVcLufuCxsqusAiP577JinpoFWI79A2zLsk\n77QJNDSfdEP2rVnfphca230l0pfiUA3kJUiVQL9+/fqqz/tUGh95KGlo3KWvRiQkpZCaxOfDwX1w\nzMwuLy9d6xBdKKh+DykUNSOXy6Wr2oPfz87OXKUgtFsGeRYKBVctnYuMqIrHE5KvXclvXxL1SZ5c\nNg5RBEyiPqlRCYBrsnJrlaurq0TlJZASCIObt+EZaOUqfX684LVak2olPCb4fIgAcPDcANmv12vX\n9RVaSLFYtFqtZuPxeKO4CJMObxDaepnvNzT3cZ5dCNled31GiVPHzUegobnqm7dpmCj2uYd9NLBD\nkSqB/v3vfz/4szyJddC3kQa8otpsDI4K9pbjnHzoQ+TFx+SwXC5dqxCWPIbDofO6giwgRZ6fn9ti\nsXDl67DoUBItm/3RORTkWa1WE03PVBrh6/aNBZMnB/yHpC4mVCYfJU/enEIEqqSHa8XGAnW3Wq0m\nWnhks9nERrFYLGw+n7uDK1bx+UME6tsAfJ7/XSSgKrQSM0vt+Xze2XrL5bI1m81Ez6VtBIr74fvl\ne92mMen68eEQOyhLnmz/ZhLl8+h61bUb0h4OJVHfe9Tm6TPZpE2iqRLof//3f7/q8yqB+gZfJQIN\nK4H0x+FBeOA6YVVFMksGS7PEhXOgoC7UNjQY0za56/WzI2ixWNhwOLTV6rlC+mw2c/2VQLRQ/avV\nqqstyfUl+Xp9EphZ2A7Mktc2lUalDS1a7JNAQyo8l+bD9XH0AScRQCpnEkGFqul0mujljgMSWohA\nefPQLDImf95Ydd7pRoV74IgMjiTAubEJasdO34L3SaB67KPGh8gntFnq+3zYJs3rZhwauxCJ+gSi\nNCVRtYOr7TZNpEqgf/3rXw/6HO+qupvxg/ENtE5qXaDcuoMXeKivN86ntSo50wRdQLmeJxY7H5Ag\nUbYOxMBVfPA95XLZnU9b5vqkUB2TQwgU0N06JMGpJBciUD5wfbzRcejSer1O9C4ajUaJthsgUiZR\nJegQgeK7QJ4sPYdMECFHDuYGSJLrl4Y6ioY0HJ7rvKnr89bNchvJHCKBhj4Xmg+qxvM5QoKPT6VX\n6f4YarwS57tQ4f/3f/936/93qRJqYOaH4htsDAqrmhygzr2IzPxqJp8fA84ectTzhM0SoUy+jo2T\nycT1IO/3+7ZarRxxrtdrJ10ul0snkXEhCl54SvI+qUjHY5cKv20ihWxefB6fHZGfoW54fH18bjwL\njBt3zXx8fLRer2f9ft9LoL7ND+fnMcC1agaZEjhfT0iCwvienZ25Z4ZC2RyyBM2Hm9v5JEaWetWs\n5Nso97WB7lJrt4HH0DcfIImyas+f9a1Ztmer+q73dCwCVTU+bfwUJ5I+VB08H5H6BhuD48s718IO\nvNurKqwkxKrYdDp15FkqlZydC2o4e9rH47Frd7tcLm00GtlyuXTqeDabtdlsZmbmwnrMzJ0P5ga9\nVt/k89lAt0kMagsKPRPetX3n8alw/Nx8jgL+Dmw4IMPZbGaDwcDu7+/t7u7O7u/v7fHx0fr9fqL1\n8Dby1PmgJOqzhe6rhvL5YXIplUoujA3PEoVi0I0Az3Lb3FfJzWcr5LHUtbLr99dIXLzR6gYcciKF\nnv+2Vx7fEHG+lFB5Lr8rJ1IaYUz6GtqlGKxyss1rm6c45IiBNFEsFp3kmMvlXKyfmSU87UjPRMuH\nbPY5AH48Hjvv8mw2s/F4bGZmi8XCzs/PrVKpJOJIITVrJR/fQgrt3kp+IQ88Y5s6rwtGX302Nd8z\n4/GFxAZCHI/H9vj4aHd3d/b161e7vb21TqfjJFBuk7HNA6/Xr6Tvk553OZGUoDnuk8mzVCpZtVp1\nDjOefyrVKbaRzz4Ek4a05gNfq2ovakPf9ex9QpG+P+370us8BnmapUygo9Ho1efwSaP8910LRtVN\nlgK2qRF8vvPzc0dukBQRJL1arZyUCkkX6jjIczKZuL4+6/Xa2UDxnYVCwUmlUJ1gd2XJZZ/JyGMS\nIr59JpBvoYcWzK5zhdQxLBx4prk1xv39vd3e3tr379+t0+nYYDBIhAGFVFq9f50TSqahiAScI6Ri\n4jyXl5euvQcnB0wmEzc/zH60SN5HdQwJDr7/7RrvtOBT5/nv2zYDvqbQPR2LOH33sO+8PQSpEijU\n05+BTCbjbItPT0/eRRJSL30ECskTdkt42fEZdopgcS6Xy4T5ANIppN7FYuHUeA7b4UWucas+Mtq1\nqELEpz+/ZqxDANn43sskhU1lOBw622en07FOp2OPj482GAwS2Vg+dZbP6bu+XZI0v3fXBoXPcaZR\nqVQKduR8idq4z3uOJWnug9fMmW3z961x8gT6M7FerzcIyWdv2mUOADQWjxcyoNKvlr3zkWHIIRCy\n16T50I+lxuzzHUyesEHD8z4cDm0wGCSO0WjkJFXfRrcNPi1FX0MSFF593wX7dC6XS0QF+OaHPtvX\nYtv1HhuvuX7M/dee51TxYQgUSEM92KZqbFNvQ6YEHKvVyqtKhlTtjzbhsIFo+Nd4PHaHOo3SIIm0\nJJ+Qo2cfqfgYeC/z471c5yH4cAQKvGYSq9rHpOgzDfDnVBXn+EMz28gn33XOjwSWwhH3OJ/PbTab\neT3tP1NtDSEkvYbMBh/9mX52fFgCfQ2YOGHr1CpE6sVV0uUYRIRWwYvLaaa+epgfcdGxFMhqPAiT\nidPnXT8l6Kbqq1AV8TkQCdQDkJiq4XAYaR41f07toQhPQlYSYga1mdxnWHggT4239HnZTxG+56vZ\nTZ9Fm4h4xockUJ/n9yWf1YWiQdghtVulT03TBIGi9QP3Q/osJGq2Gfu4LdPmlMCbKmoDcKuXbdX1\nIz4mPhSB+rzXL12YKn1qIQ1fDx9+hcqPnPlyuWyTycTMngsOX1xcuFz4z9ZLfFvYFV7ZfOLbCNMi\nWR/BbTu3zgmuu8DaxGd5lhHP+DAEqhk4Gjr0EtXQp6YxiYbUeP4cVPVqtWpPT092fn7uCLRWq1ml\nUnHpoJox9dHBtl4u/IGx5jYpuhGGUhz3/V6eH758bl+csJm/J7yv0Ewk0M+FD0GgmvvME9hXIGLX\nubbl1m9Tt1kCRWV6ZBtdXl7aarVyxXdrtZoj0FBPoI8GJU4uAIMKR8jywbgBTJ6h4iohqNPH5/Bh\n5xZ/B66Bu3CirxOqMaG/k6rxER8f755AQVq+dhNmlvD2QrIJkaiq71wijyWMkJTBxICcaWRHFQoF\nR6CQTFHOjq/3I0suOr7clK1arbpMtsvLy0TWl9mPRAmuUM/JDr7iH0ycPqcPaxFMmhoRkMn8qI+A\n/lX1ej3R20l7YX3k5xjxA++eQFm1Yknx7OxHjx3EGqpa7wOrlCwd+bzmLGVgwYDM8/m8W9BYfOv1\nOiGdcg3Jjy6x+MgTdVXr9bpNp1MzeyZPdLYEeWnsKOJGd8WP8tzQtsogUoy7xqby+fBMS6WS1et1\na7fb1m63rdVqucr6as/GPUd8bLxrAmWJD+oV7FHn58+3xtkuuwiUpVklT5/H3AdetOv12hUagfSL\n31Wq/QyLzSeh1+t112MKDjb0VdfYUaROomI/V+/XjgD4Li20jfqrqKSFecLZUSBm1CvIZDIu971e\nr9v19bVdX187AtWCyh99M4z4gXdNoFDP2OMN1fji4sLMzJWSA0mpnYuhXlYUT/bFbYbCVPia8Hsu\nl3PfxUVItH/8RydRDvHC84Kqfn5+7iIWQuo7k+dwONyoXI9YWyZQ7ixQLpfdwSq32Q8Cnc1mrogz\nt6LmrqLtdttubm6s3W67zqI6NyI+B949gbItrVqtWqPRsFqtZvl83szMFezlhaLVfXAujd9kTytX\nuGcpQ+NAIXWCRHFOfA87mrYF5X9EsISPwsTr9XNDvXw+71oDaxdLzp+H5DkcDq3f79tgMHCN/UC+\nXJcT34PNFTZLtj+bmZNwZ7OZ6y6AazGzhA200WhYq9WyVquVcAZ+ps0w4hnvlkCZiJhAW62WNRoN\nKxaLls1mbTqdWrFYdCXqtPgDClZo/CZLLD4va2iB4O94D8iUCQHS0WcKuObNBc/MLNkBgEvC6edA\noNw7Ca1TUDsUUig7fmBvRuQDehihAwBrJjARcAsRECjbrkHE7EDifkif4XlGPOOnEiiHkBzyWZYY\nS6WS61PTbretXC7b2dmZzWYzK5VKQQLNZrOuShKH08AzzE3DNGZz20LB9eE1VLruswEEapaUSAuF\nwkYHS4wRO5EgIUIKVTV+Pp87AkXngGKx6MKOsCFyw0EQKPdmZxuomSVMD5gjsKeq9BnxefCmBIoF\nowSidTr3CXhXlZvVq3a7bZVKxXK5nM3ncyuVSo7EuODt2dmZqxR/dnbmzsGhKrCpviRriO9r26L6\nbASqUqhZ0kbM8Zw6R1iNZzVby+Cx/RTOQLZlcxM/VP9XM4G2FMb1+KI91Jv/2Z7pZ8ebECirrNuC\nmDkWb1twNKvGqnZzjN7FxYUtFgunzuN72EOLLpnn5+fOSdBqtazZbDp7KkssL/GYx8W0CSZR2JND\nvamUQLWWqC+cSZ1I3HpFoylYaoSZQBsO6obLjsaY+x5xdALlcnChYHff7s/B0T7oAuEsEUiQ+Xze\n9SBiCQE2OLRkWC6XTgLlMJVms2m1Ws3K5bLl8/lPkzF0bIBEeWPdVUWetRN+5r45o3GgHAvK1bV0\nE9e0Xy5yorZrPvg6Iz4Xjkqg2zJ6uHc27E9QzdiIb7aZOaQSqC/sCHZLM3ON31jyLJVK1uv1bDwe\nu15FhULBhamAQKvVavSyHgFMXNukN41ywHNH6NPFxYW3jzvOyfNE67n6vocl0l1tV3zXGPG5cDQC\n1YwThAPB+K4xeOxdHQ6HXhUfwMLgmEotLwaJFIHreD8cAZVKxfr9foJA8/m8VSoV54hqNpvBLJOI\ndHCoOQREiFYpIYmR5wp+3va9+zo2I2meNvT58e9pruGjEKiGF8GjXavVrFarWbVadaRk9pwtNB6P\nrd/vW7fbTTRi87WxZclCK/loFXgthMxB3PDcarYJrhVhKshsitLnaYBNAJgLPD+4ipNPut3n+cVn\n/D7h62emB2LE00DqBMreSs51brVaTqpD+hv6BM3nc+v3+9bpdNzfuKgDHAOsyrNNSivH+4z9HNyO\neD6YCkCgiPWDGUCdR7FIxOnA9xz2MQNEfFyoHZszDlkIO1kCBclwamWtVnM2xS9fvjgSLZfLLl98\nMpnY4+Oj5XI5W6/XiTAVDWhmiULVNP1Zw2W0VieKRmiapVYZ15ArfHfE6SA+j88Lli61Yhe3JQeJ\nNpvN1L47VQKFtzufz7tCEa1Wy66vr+2XX36xX375xa6vr63RaFipVHLxf6PRyLLZrC0WC6fK9/v9\nRHGGbdKfT13jVyZU9txrP2+E1+B9HB9oZom/+74/IiLibaC1YkGcyCbzdXtFhMZf/vKX1K4jVQKt\n1Wouo6darVqz2bTr62u7ubmxL1++2M3NjV1dXbn84Ww26zztk8kkkW++b4OubaEnDA47gSSqOxXH\n/mHAuQCvrzsn2+MiIiKOD7Zzcg1X1ly5WhdMdaix8B//8R+pXUuqBHp1dWVnZ2dWKBRcXvrNzY0j\nTni14YU3M2d/NNs0/OJvCl/MnnZ31Pa4GqZiZol6k6j2syuW0FeUV3PdIyIiXg6VKn0/43eVOkGc\niOLhYzweu+paaXd8TZVAf/31V5d/DAK9urqyq6srp7YjJhOkh/JhnJI3nU4TWSVMhFojkjNTcKhE\nyQTHn0NuNXYsjj8FibJdFHGskJQhLXMZs5A0eki+v1kk5IiPDV4X2p2Vwxd1/aI2Atf7RYWuXq/n\nDlTrehcE+qc//clJoPC+40CNzvV67QhqOp3aYDCwx8dHe3h4sE6nY91u14bDYSK3WaXJUFofgvBB\nwPgsq9pQ25m4sWuhKAUGmwsiayMxbiamZgcffBK1j1TVhuv7X0TEe4ePEH2p3JzSzSUokX2m5Nnt\ndu3x8dEeHx+t2+1av99PrOmTJtC//OUvzomEbCAuxAEPO+o6DodD6/V61ul07OHhwW5vb+3+/t66\n3a6NRqNEcQglGy0uweL7aDSy8Xhs+XzeZa1wxR0UWUZJNOxWKI2Gqj5MoLgfLmXGlZo4w4oJ2+zH\nJPHFpDE004WdXzHzJeIjIKQJhg6t3cs2T8SPj0Yjt4Y7nY4TxHq9nlPhwSWHaoIhpC6BcsFcLkBs\nZrZYLBzR9Xo9t1M8Pj66G398fHQ3zlXBtUI597CZTqeJ+pD9fj9RAxSdHmHn3LVjjcdjVxYNsaNI\nCKjVatZoNKzRaLhePloiTYtUcCzaNkeXL7bV10UyOq0i3huUOLU5oLZS8ZniuNgLS58sBGEdg0Mg\nfWqh7rSQKoH+4Q9/SHi5QSKwdU6nU7dL3N/f2/39fWK34ArjsEkqeZolSQltHobDoXW7Xet0Oi5E\nChLv5eWlI1CQbb/fd8TJ5gOWQFerVSKuFQSqldBRqJdbOyiBsoNLVRNAY1WxEbGdNbaMiHhvAGkx\nATJhYq2zL0LNcLx+QrZPPth5pGFMaSJ1LzwHtIM4ptOpLZdLG4/H1uv17O7uzr5//263t7fW6XSc\nsVfDDrAD+W5ajciDwcC63a6rNG72nOE0HA7t4uLCMpmMk4DZdMAiPwYerSGgwnNlc5AnCBRmA5S9\nKxaLCacSqyk6GdhAzrn6nMuPAr7r9drdB5xikUgjThkabqT+CjiOeR1pfVdIjkqgarrDwe1d+PPH\nIE+zlAm0Xq+bmSXIk73a0+nUSX739/d2d3fnCBR2ilCLWgU/FJAipDWQ5Wg0SjSYQ6A+CBTivpIn\nJF+QFPL62dGEhwWzAdJTuVWEmXnVFZ9jTFNJUUG9Wq266+BY1kieET8bPhOUOknZ1AbixPphkxtr\ndahRwSY8Dk9UKRYSK0uvbPqDD+QYNVtTJdBisWhmyTa06GqI39leyT1tIPX58t59YAKdTqeJVhur\n1cqZC2ALNTNHtvrwIP0yiYO8QWxcuJeroUN9gBqPECct1aeHtq9gZxUiGNiRxbn+HJoViTTiWNgm\nsYXis/Hqi9OEwwehRhBe2ITHqre2qlZPvdpQWfjCNWDtHEvoSJVAUQgEg4eFzheuIjgIiVvS7itq\nIywJjiHsgE9PTzYej63b7SbK5vnEfiZOX9gUbKdMftj5mIwfHx8TEQfcQgT3q9I1bxJowau90iH9\nIlwK1fMjeUYcCypFhqJHtiW5MHlC2ICzB45b9ZgPBgPn9PGp3+yN1wQalTZV6ID/IG2kSqDsOMHv\n7EXmQ7OPfG0ddoGlUIA97agij+tS4zUeFO90ajbgzUDtmTjHcDhM9Nrh71QVnu05PBmhvlerVZvN\nZmZmrrxepVJJGMGPYcuJ+NzwkabGYiqRbfucSp4gT4Qs4pWjbqC6K3lqCCC+iwkVAoUWcUdRIMRp\nn7QKr3UaORwHUhRiJjkAHc3fDjH0guD4Z6jqOmgq9msriG1Btji3z64DVR7SLn9nKM2UyRBmAlSI\nymQyjky5P3kkzohdOHSOMPlxtAhv+KpKh0iN47PV58DkyZKnNgb0OVr13vh3cE2oieCxOqcepR4o\nOz2YPH3tgjVg/pBgVw20fXp6SjT84veFQor2/U7fd2Gn5fAtJlBfhgVPvkzmuYc5txbh4F9f3GhU\n3yMAlQJ9r9s+q8SpQgabnnTt7GP3hM0TajvHXIM8OVaTTXm7NC4O/YMDtlKpeNuSozNFmjhaSw8m\nUK0P2mg0NgzG3EZ2lwPJB5UQn56eEiFV/DC2BbO/5LtYupzP595yd2q38e3a2WzWpZyy8VwnKY8t\nv0Z8Pvi83b5Xfa+eA3OZiVPLwWlZOJ6bOqeVQDnbLxTvzY7bXZqgAhyDEprVatXq9bo1Gg1XvB3V\n31CHI00chUBBWCECxaD6gl2hqh6as6phC4o0bYhMpJAefcWXQ0Z4AJ/bJRVrCBP+H4n0fSI0D0PP\nM2Rv1EwdlRBDqm/Irs8FdrTQjm7u/B18Dep5R8ifVkjiIPeXrnnU9oV2ixKaKGDUbret1Wq5GO13\nQ6BmPyaB3mStVtsIflUR/jXSIfCWzhaeQGlUYvJNcF0gsX3F+4RP3WZoLKXv82qKguChNn22Wfq+\nW8mTSU8PrpIGadFHoD7TlpIx7Pq63l8CNg8yeaLzxZcvX+zq6soR6LuSQBk+KbRerzvjcsj7tk8s\n6CniUNJW4tOJiN0f2UhQ+bUAiUrekVB/PrZpIj7zjO85KnGG1G2Nh1SCUocP3sNkB6kRryA9re6u\n6ruq8VwhHp8NOYleAl/TykajYe122758+WK//vqrI1CuQcx1OdLCUQkUu6lKobPZzOr1eqLoqS/7\n4JCd6T2DJ7XGmmpKKlfsh7NM25+gW6VZJNK3hk/aU20iZKYJEahKi9vyyFnVVm82X5NKn1qbl4Pa\nEautdXp1g/DFaHIqc+je9wFnBip53tzcuNZBNzc31mq1XCnNQqHwPrzwPuCmWQpl+4imcLH3WaVQ\nX/8jM9t4kO8JPvUH8aWoGMW1VAuFgttNNViYi44woQKRSN8OqiaHiATkxmUM+bnxeSDRsartM4dp\nGqTPY65OUK2py0U9fCnWISma57NuHK8RinySJ/ddg+p+fX1t7XbbGo2Gyw7k/mpp4ugEyq00+Obh\nUBoMBtZsNp1nDiTqywjC7gxPt3rYfTFq7wWQMLg8X6/XczvnarVypMoB+9pqBAf+h0MdUNGGuh0v\ndfDoZ7ap2kxIGvvMmgTPb83sQf0HX/uKXZ5tXS+qbvN14tqZiH2Sp28sdpkrXoJ9yRN2z3q9nmgf\ndIwgerM3kkAB7oiJmNB6ve7CHLigBzeBgkdfa2T6dmiQkO7upw6WMFBdCnFrIM9+v+/UEWRYcMYF\nEhSQpMBZGJBMWbLBK5PqLpU/DSfZKZK0T4ry2SexmYfg82pDkgO5qT2RJVCfKUY3VzbrcGUwSKQ+\n77beT4hE1RmlxLmvBJmW8MJVyriwOavtLHkyeXIA/bFC/96MQNkrjxYZ8J6h7QeyEiCB4v1sR8UB\nIjX7kRPPqggmkJmdPImy8R1ZVFhEy+VzLdXBYLDRRkSJk7MvkIGB94JItTjzNkdUyKHhu/5tP2+b\nvC+d0PsszJecU6VGkIpKTbvGJWRT5DCekL0fZiqOnVYBAZsrsnvUCeur6aC2St+9q/lIw6BUXX8L\nsBmDhS4OhUTDyi9fvjibp6rtKOpzzLjpN5VAzcKqfKPRcDvpbDaz5fK5pTAX1dD8Vq6+xEZ1Nqiz\nV/+UwfZPVt1AqP1+P9HMTiXPQqHgejWhQj4Olli1m6iWyOPft5Esw6em8WLTz+46n8a58s/7fIdK\nidukZh+B+Jw8fO0qIeL5caV0LjSjbWO4Ujqr8UwaPgJliVadPT4v+S5njW8MQhvIMaFzQwuLa0sd\nxHqy9MnkyWr7sUs/vjmBwoapAbCNRsPtzJzSiMIaTLqcR2/2o+I9qzW+giWnbhPFIjRLSh3j8XhD\nHWebJ3ZnJlDUE0WNUu0k6msX4iv6wmTq2815bEMLT8k5FDXABIhzY1z4/D6VlIl5n7qpPrOPr+CL\nT732FcVhgoN9klMYUYGI0xfZU852/pAKH6pixnZVTrXcd977Nqe3gM4Jrp2B+Y01zzwBuyfapSNc\nqVqtuoD5Y3jcfXhTAsVk4NhQDkXAjmxmroAxfs/lco4kQKIgUFSaR1k5Ft15wYGcThVYKKzSz+fz\nDU87/46JBimUO4eizQg3vuPmd3o+tjH7SoH5nHdmtiG9+CQ3XSC+cyvh8bNT1VIlK5Vcdp1Xc741\ndZE9znx+vXaEiuFZQfIEeXLJNu4SyXZ+VuGZRPma1bbqy1MPOXlODXyPPI9ZMOCuDCDPWq1mzWbT\nWq2Wtdttl2lUr9cT5Mnxnse2t/8UCdRsM0OpXq+7QiJnZ2dWLBZtPB67nHaEQIEcmEC5/icCZqHa\n66I7dVWeSRQLRtVqlRh10vFGg1e0BlFJVslYX5VoNV2VidNHbrpYeJHo+bVxHp+XnRzqWWaCDl27\nSnMqMWrGDHuxzTb7VXF0AzZnaAuc+63kqfnfWmXLZzbRseDcdf79lEkTCEmZIXs+FyBCjrvmucNk\npf3I3sJZmSqBqkq1DZqKBTslyLJarbpeSkqgkKawS8/ncxuNRlapVCyfzycmtaa3vYdJZraZ0+87\nVCryEanPM6/OOB9p+kiOw6EA38L2EahKF7xw9PxMzix1gaQ4mBvfwffPpg0mUZCReshDPXWY4DDO\n/B1KoHDwoNsBimdwsWDueuBLFuFni98xzizhq9R/6sAmx74MzFEtPwfiZFMUWonXajWr1WpWrVYT\nbdPfWvIEjkagwDbPK0uhyO9GZRVUZV+tVon3sWcZHvqnpycbjUZWKBTs7Oy5Dzwb87UIwnsgUCAU\nToPXEJHCc8mE4iNEn0kgJCmqc8PMEotZpSFco2/h4BnCpABCUtMLp7Ny/KSG//D5Q+YKJlBubAbn\npcYibyNQnJNVeO1SgAPEqfUufRoRS/fbnHX4/T0Ac4CfD0uXbK/ng0lUf4YWyq3E35o8zVImUPYg\n8y5q5r8plkJ5kubzebdQ8HcV97GgQaAIOF+v14lWxz6J4j3s2NugCwibz2KxcJEL5+fnrleUHqEu\nAWqT4ldfQL6qlqEURSVQlZBB9EygZsnOqxqErvZJzCM4HdRk4SNQzoTjbqs8X9g+qWYIJVDetHd5\nyEOa0HshxX3BmxvX62RpEqo4pEqQpIbkwffhC817S7WdkSqBzmYzr9MAk8wXrgIShEoOAlXjukpX\nWGxYEOpQQp94hI7wAn1vUug+YNteNpt1xKNedp89Fc9BnTD6qhkyZrahUoZsoHh+SqIclhUiUKjb\nvpRCfAdvsFhsIGhWt3FOrpaOyA2o8T4bqNpZdW7rtWodTV9hj48OJk/EcLIts9VqWavVskaj4YLf\nEYaknSt87Tk0EuKtydMsZQIdDoeJMCVV/ZhE+WYhHWABh9TAUAgJRPfF4rkHPewl2NEQF5bL5RzJ\nf+RJzPZTrVOqIUP6v5CjSkODWAJV2xxLV2piYBXY59DCe9WBFEor9KnXWHi7JFBIhxyI7qsKpiFG\nuE4le3ZOcViUzufPAJCnBsA3m01rt9uJmp2NRiPhDGIJc5uzcZeG+xZIlUC73W5C3c7n87ZarVwV\noVBcFggSrz7bkG8Bu5s4f84V55gx3s3wQNgj+97V+H3A5KYbl+81RKj6M3+OSZTDjvA/Dc3xqcEa\nFuQjJfbCq/1Q1Wt2UrGap04krkAEm6iaCHBfusHoePhMGe8tnTgtcJhioVBwKduo13lzc2M3Nzd2\nfX3tvOkIuWO7dagwzqESJ2/qaSFVAr27u7OzszO368AAj0UENZtvAJOa1XkQrUqs+jkGpF5W4XAg\n5OktMhNOFfs4HnxjrR7hEIHyzz6nFxNQyP6qm2OIlDS/W2NAfQTNBMqSojqnfOXa+B58h967biSf\nCSxAMXlq0Q9OvUQMJ5tb1N6+a/0Du+zKCJNMC6kS6NevX+38/NwKhYJVq1Xn3NBFo+BJqAMVeq8C\n36GB5eyo4IX00dX4Q7CNZLft+jpBfcDnVKLVRaIhUkxGITMBzu+z42rkAD6nsZS+DB69x33C9D7b\nnGJyY2chyBN56yBP5K0jewjtNtRW7RN0tvGCzkGeN7qxFwqF1O4/VQL97bff7Pz83MrlciKHXasB\nmaVTWEI/i8UC24mvfbIGVet36zW8t5CRY+G148ARA2a2IVX45oVPsg15r3HuXao2zhdyfO17f59t\nPqh24tMqfA6jVqvl8tZBnlDdQ+Sp37kLeBaatRZK7jhZAv39998tl8tZpVJxxUDeork9oA9Si4+o\nnS3kTFG1THOwI14PJSsQaxrnZJuv2sxCpByxCR9R+qI4VPPjKmtXV1cJuydLnuVy2ZEna4YvgYbS\ncdKF1jXAe9vtdmpjlCqBfvv2zXK5nE0mE8tkMq7VaLlcTnhOQ2FNrwGrEWwPDYU/wPGk5oWQEwMP\n5zM6Bd4jVOKN2B+haAw1i2gGHMd5wuMOb7t63JFBxA6+l/ABb4S+/ksotMK2bQhA//7v/57aWKXu\nRLq4uLDFYmGXl5dWq9U2+r6zVzMtsCMK4RMcvKv2UOTXw6CsYRK4Nt7ROAPms8XzRXx8+NRxX6EP\nX7ov+xy4UDoKfzSbTedtZ4fRa8lTY285gUGb4R0rCzFVAu31eq6KeqVSSdQ8VM/mPk6cl5IsO6xC\nZd6m06mZPVd7MvtRJi+U34xQF00LZbUgIuK9Qp28SowgR61hwOFiLKBw7joKpSPLiGt1HkqeACdE\noJ4BEiL6/b4r3OKra5AmUiXQ0Whki8XC8vl8UIRWY72+st3lkLgt9sbDHoMdcTKZ2Hq9tsvLS1cm\nj6VU7IqIE+X+RFz9O5PJuDqlp14iL+LzwecI1RAglji1foJPawsVpsHPXBSE89kR38kB8lhjr5E8\noRUim6zf79vj46M7fNWvuIJXWkiVQOfzuWUymQ11V8vJMYnyzyGj9T4qP39OvYGNRsPG47Etl0vn\n5EKGDmqSIn2M+xAh3Q+VdXjnZG9hlEQjfgZ8TlD8PfR+s83aqUycWlMWB9cX8KVY+ohX02nTKPrB\nmiEKwXS7XXt4eLCHhwe7u7uz+/t7e3x8tF6vlygMc/IE6qvMw7/D2AtoiIEvZvQloQ2qwiMeFT2W\nstmsFYtFm0wmrsoTF21VAoX02e12N+oN8mTFwwnFT/omdvQARxwKnuf6GiJRJVst8KLSIzL5uLgH\nF2jRVEstI6iZYL5Ms5cAa0XJ8/Hx0e7v7+329ta+f/9ut7e3dn9/b51OJ1EYBtW7TlqFN9sMD2Hi\nnM/niXx3zfrwhSGtVitHWvtIoyyBFotFZ/vIZDLOsTWfz12MKhdvhVcwk8k4Ah0Oh1atVjdsNxwQ\nnslkNozU/D9fhg1L4BqnFhHhg5KfVszypTvic77PK3mCNLn+JldG8hXk1nRcrebli255KZhLuNJa\nt9u1+/t7+/79u339+tW+fftm379/t4eHh0SDylDt1TSQKoEqSXA5sslkYrlczkmgMADj5sySZcnY\n7rJer10aaCifnq8BEmg+n7dKpfJ8o+fnViqV3G4Ebz1/Fwgyk8kk+iyhJYbGkrKUPJ1ON4r8qoSg\nY8ObiFZZj4hgYD6p51slwVDOeCjMDwIES51w+MB+6Ss7qKUReT2EkhheI3kqefZ6PXt4eLDb21v7\n+vWr/f777/bt2ze7u7tz9k/uO3Ws8MPUCdTsB0EgvGA0GjkiRPwl7Iu4wfX6OaeZu3WWy+UNqW7b\nw8DfQGr4Ttg6S6WSU7eZaNULDwl0Pp9vZEqweQE7MO90eEi+2DlI0FwoGGPkq5wfEWGWrLjPdkrW\nnLDBq4aEz7NfgR1G2xw/KnXqGmCC1Fd8L7/uC03LRKiSjzy/ffvmpM/b21vrdDqu75SGT+q508BR\nKtKzBxseskwm4wLseTBAPKxSIxC30WgkOhbiQaBwcujBQJJ1N0kqPaREEKjGtcGOhHvw2XDU8F4q\nlWw0Gm300PGpV2bJDo4Ij0KoFMesRWk0AuTJWT6QDmu1mrNTcmwlF83xOWZZffcRMjt/fC1XtH4B\nrtN37dsQIjM2cXGraKjtcBZ9+/bNqe13d3fW6XSs1+vZcDhMkOcxkTqBcnwWuhOenZ3ZfD63XC5n\n6/XaDQbitECguVzOisWi1Wo1G41GibYNvjQyHxD+hInCuzfiwEIOK82T99lwmBgxobHjIT4U7+OY\nOq1ezhXROUQK5gCtuh7x+cBaEueXo6kaN1ZjJ6gSKM7FBMp+Bl94EteP8FVG0ut8KbbVOWDHM8hz\nPB67LqdQ2382eZqlTKBQjWGrGAwGjriGw6Fls1lbLpeJSuCQQM3MEShiNjEAnBnhU08UrMozUcKO\nygTKE4vPCULXXRzXAlNDtVpNEChfM6RUTEQO0GfpHI3HYPjGPaL4c1TpPxbY1LUNbMsvl8suu4fT\nI0N55T4CVaGBta9Qz6w07JgA369G7Ojv8A1woz6f04jVds16fAuk3hMJ4UGQptbrtU0mE7u4uLD1\nep1Q3znEwOwHgUIdNvsxibSDI4ds+MCSKIhLJ6xvUujPbApgCZQJlDcCtq9y9XWQMcaJ7TmdTsdr\na81msy5zKpLo+4VuwoxQURPMMy7O0Ww27ebmxtXTRFWjfdIjfao8E2lISEmDOHGfZj+IUwtkszNV\nu6ZC0Oh0OnZ3d5cIWVKb51trbakTKAgEBDafz10HTbaNcvsEeOHPz89d6BFUaM5yUE+gb0IyeKff\n9t6QFIvP8XdpmFSlUknk24bsq5iUmDyYGL1ez1uNW9UwOJi2kei+kk3E28EXr6nOVpXCMplMwslT\nqVSs0WjY1dWVffnyxX799Vf78uWLXV1duWruxWJxQ30HfESK92zzmutnD4VWTEIWEaJwOGORC1zD\nPzAYDJygcX9/7w5V29kH8VZIPROJpT3Y+tizrU23OIzp/PzckSdK4XGIBfob8U67b5bSIeDPQRLW\nVFEQPhMcE63aUbWpmYaKKIGqJKAkGpKij+V1jNgfvqIcTKKqrmIDRtQIV3Rvt9tO+oQE2mq1nP3z\nJfnlPtto2qQJaOEPECMEKBT/YCcqDvwfgka3291I1dRMo7ee76lLoCAJNgDD4cPVUzRsx8wcIYKg\nuKo10jF9lVXSru7kA0uiLIVyB1He/dRBxc4pxLRNp9MN6ZolVkDrkWpkAsaXJRtfvYGIt4MGq3P2\njkZ6gDBYg0PYHUufqKt5fX3tulkiRllr7R6yHo61hsAHHMfJRT/QERVEytEpaPqHltM4YAJkh+vP\nmOepO5HUEMzEoU3CtIc4VH7YTGH70AHjMJ/XZDjsCyYmrY+IbCkN1GUVSXd53P+2zoNmlhhLXy8g\nfE8o04mvKZLo24G1FG50yJ7yTCaT0EQwtzlrztfJst1uO+87NDImZbOf16FSwZoox4TDnvnw8GCd\nTicR+I6QPmwqTKTcOZVD/n4WeZodIRcer5ggoUXtE7dZzGcRnncnqMs/I05SVXpIoroJ+Dyf/HlW\n7fUV7+Vx0MnC38cqm441ENNE3xbsRIQHvVqtJrzlWB8oVoM5gYI8+BxUeIQucRM2kPFrysIdGxra\niHCkh4cH5whC6iXbMvVgkx+vhZ/tXD0KgfoepC/eK3QOJQ8NMmcSeQv1XcEOJibIl3xOg5JZrUOx\nBK5xOBwOE21e2Vmnxn8fobNdNOJ44FAhlkARv1mtVq1QKFg2m7WnpycbjUYJAkTUh6ZYIr2SC3uc\nOnma+QkURUDu7u5cHGe3203EcHI7DrYRs7f+FBJNUi8mYrZZ4/Ml9jifqs+D52sS9TPwWscUQqw4\nvAneeS0hxg4CTgnF+TieFYAWcMqL66OCSRQ2UKjxlUolQaB4hXBg9jw3NFOIA9211/0pP19ez1wX\nA8IB4qC73a4NBgNnxoCQxGv+VNY+4ygEaubv4rjPTWtGAqv9u6TX9wRMenU2aVWbUDUbtXexlHnq\ni+ojQ+MtfSFtSKows2C6r2bI7SrUccrwme/UmczquhbXUeI8pfWfWZ/S1URERES8I+xnvIuIiIiI\n2EAk0IiIiIgDEQk0IiIi4kBEAo2IiIg4EJFAIyIiIg5EJNCIiIiIAxEJNCIiIuJARAKNiIiIOBCR\nQCMiIiIORCTQiIiIiAMRCTQiIiLiQEQCjYiIiDgQkUAjIiIiDkQk0IiIiIgDEQk0IiIi4kBEAo2I\niIg4EJFAIyIiIg5EJNCIiIiIA/H/7ED85XUIPi8AAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 2\n",
            "    beta = 2.0000e+00\n",
            "    J = 3.1480e-02\n",
            "    grad_norm = 1.0610e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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DQUlHUXTTJ5prWf7gfqiY1yvMNMqIGPkeP6CMO1OkkxA8NdEI2NQDh8NhQ/+8\nubkZYaHSQp2Bcr99Zs4gHbTHMTC2C4Mn1APpKnkfEOT1HdIkj4+P4+DgIL5+/ZpGxmv6ZAZ8Htzj\ne2sSDW0cgNI0EQWk7FuBjp4309R1HXfjHUD5bARPptAx1acG3lnAKmOfBM4sZpCx0BqI+nOSzfJ9\nJDkeQOJPuvCDwaBRcUxzUi68Ygocl2wL1hXQTxYmkkwgr4P3pTzkzc3N2NnZKTWAf2kA/Y//+I+i\n76iAhyKLtaRgrmhaNZQvyGgtUyIcRGsAyjNqvL4mv4uunraIeYERB9GHh4fo9/tlt4UnFWdpW9Rf\nqN9FvABnxrAzJuIAwkhntrea+hoBL3MJGTy6uLiI09PTkcg4U31qLLFNX8tYUk2n4/uyf/t1uBjJ\njfSUl9p1/f74nQ6kvJY+k3kBYqGsEqTP0t2v6X0yZ55Z/QRP6fH2qS02XAgYDGsjOx5A8vq6vuWZ\n6W3D4bBsuHFmqXGsPE/PqtD/6V4FoJ4+p2Lq29vbsbW1FSsrK43768I6P9aYuk9WWiyLXvoRHDs7\nO+VsIK0cTIsgiLoL7+4FV0gyQxlTmxStJUP1SaPrKmmcKx8j8VmRB2YCcCBz0rWVRFObOQg4i1ZQ\nRAna3EpLEZ/fx/tkHypxXpHiLE+yTUuTZe+pgdRrPz/uM2zjbPHJvtNBlveXsTgCKMcJpSFW28o8\nCGe2GahnwdbBYDCS6ziOhfqzZwvp8/PzSGDKSQo9LxEPl0Bk/KwANPO4NPaZReHeoV6UA3QKhY7I\nERGTG69NFF1ap9+2v7/fYGgaOJnr6HqlTqXc3d2Nvb29cvzG1tZWQ4Cna525OfpeD1hw8PI7BFrq\nKD8fhtciS1DHaRHgSlsr8CC3hSBKQGbOoqeBOYDSDdWgU9DH02MIoA567lLrXqnfKdDBSucC9zbQ\nG2dv/dxrP+9se5xNCj4Z+LJPXNetJXU70DuAZu67J4ln3509aw38/f71b5dSaoQhmzOuaetZBHYq\nBsL7ZfBNc3JxcbGUyHQAFSAqcCzmSeDUxg2mzXVlnR8qRzfUxV8OZHfbNzc348OHD/H58+f4/fff\n49OnT/Hx48dyuBq3ikXkA5mDjKDmro7eSwBtO5kwE7F9j3xNk/LJ5KXz6ObJ5db2QmUvKMDAtuNE\n4YAT81QupVLJPDFcxjZzHZRMoG0x/LPYJGBPLdA/m/3u75Fs4J6Ls0Rvb36+dp8c2wIPjvFa+l+t\nDXzeEKAJmDUvjznWmTeU1RhQ+2iOec0CfYd7Ux5X0H1oDGr7sE63ldsu8JSE90troFdXVxGRM7YM\nPJWjtbGxUcDzL3/5S/zlL3+JT58+xc7OTkMDzRJhMxZAQKiJ7PocXWev7q3B4GXK9H+ZDubBJ7rn\nLKii1Zb5j9rpc3p6WhK7BaLMP+WkocaX5Rb6zhZ3uWsuH+87W0D+bOA5qdU0wtd+PuKF+XIB5XiM\nGJ+vKcsYqECZ4OwMTZ/NCEcNQAVMBE2Om0z2IXGS55JV1BKIioV6+p/Am+M5y6/u9/ul0PTMzPcN\nLcKSnZ2dIv8xhYl5x11ZpwAqcMlckYhR8BTz3N3djd9++y3+8pe/xF//+tf47bffYnd3t5zfzsZ1\nAM3MdSwHCHfNn5+fRzRLShGsrnN3dzfCLD0vjX+na84CGmSO3NanLZKqcqQUME8+dj1VQCy3h+cD\nkTXWJmamDTKwRRD4Edeb18i0yB91638lc0aq37NAj95fkwja3Pinp6cGC3XCwO8f991kt/Swst1C\nHg+IeNkazX3+3I4rXVXsVZqlp3kxD5nlD/VS9F5zV3iytbUVOzs7sbOzUxgoMWQSCec11imAys2s\nidQ1t53g+fvvvxftUyuH51VOatkg9QGlFS9zYbWSXl1dlfvwPfMOmGSdBGAdMeF7hOV2EzyVKqR9\n2dwH7hFY3q9rz6yf6QG3tjai1RbD11ptMeN1auzrz2K1tqSWGfGSHZBZ20Li3hWlAf10GUmfyzRc\n/26Oraenp3JgXMR3jZE5qyIV2tWlnWgq0CJPSl6U14uNiEbwWJ6miJLGstK/BIBirSpeMxx+D0Yt\nLS2VtKWtra1G7ifjJ780gNbcOgrHjLaLef71r3+Nv/3tb/H777/Hx48fG4Ej38fehVHnygb7YDBo\nJP96/UpOBE9D8dxDHhTG74l4qZuoZHUW6Dg9PS35s9zBlckSmqC6tov3ZJ6+qGW/e3v8CGhGjGrE\nDqIZc2/TAn9Fa1us20DLbRIAFYvTzxp4Zgy0Rm4yBsqxI9a4uLhYautqHOs4YS+SwlKESjvidkpu\ntVSNBNUpkA5KAGWUXbJWRFP/VLEalkzkppmurfNqTG4Unck8BZ5/+9vfUvD0s2xkXYKobDgcFm3E\ni8VmuZ3uwlNP9SRgAagKaribwhJx2nhwenpazbXMgj56Bgcg39HiNklg5K1GDbotUuxaseusk0oG\nBLD3fK5x124bn34v4/6dfZ5eko9D1yZ/xIWXLKB+0HdTh3x+fi7lIMVCWRBGOeBip7OzswXUIr7P\nNSXXE0D7/X6RpaSP6rW8vBzr6+vFK+v1eo1tmwwYeZX69xgL7wqgmixknltbW8VtrzHPDDy7pt40\nNa5PdmouWeqJg1Sv1yt6o28hZJRfYP309JRGzlkX0re/vtYN/pkMLgtGcOdKlk6mtst2n4hhUGdu\nu6b+HZHnbv6MZ+c96PqZC/1WczlAv7u+WruX2j1k+qqnIOlzGveqaarzzwSgOthP+ZsKnoldrqys\nREQ0sEFboRkp504mYgh3NZIZ+3ZqB8/3GAfvAqBcrXxf6sePH+Pz588j4Lm9vV3A0/e/vwU82xpq\n3PfVVu/M1XQXOeKlcO7c3FzRiXyLZ8SLUM6IpedsegoY7z8D0HHP/hqrgVObcQJy94kzehZyUTCt\n7SC5bPA7YGR95gnq723OhN+L+RDM+OwuTdVkhKwtCaLUVv2lCPnl5eXIqQIKXjL9bjgcxtzcXAFE\nT373TS/y0J6fn8vCSwDVuBDp4c4oeotsk/fq/04BlB2ghxK1VpK8mKei7a55/ih4jnPfOKDbdD+C\nY9sr0xllzsAy5uXn6DBfsxb46RoovX1cJhjnEvKzlGxYUlCumtJWPGWFebDX19cj6WA+CdxdzTwE\nLnYR8dNAlO3xszXcSdm4zxN+Tu0ohkdd3U924CGNHsSU5yT22e/3G4VnPJ/U80qV7sQ5tLi4WO5H\nz+hzLIsP/CkAlKlGDp4fP35MU5WUKC+3/S3RdlltleWko/vjn/WdI1l5NVY38jqGrom6S+TP5nmm\njJxngPxexonjr0nSYmR6HxmDirhI48oOlOMmgPPz80amQ6Y1656p27F9dW9it2I8Ee8Loj7Osjbq\n0rJFrq2fPJuCXg3HGmUBgSPnhVLvmIsszVIMlV6TPC4VI+ffs40A+k4fh3Nzc9VNOdlY1bOwz39p\nF355ebmwzyzariT5z58/j2zT5P7ziFzoHmc+CLJB4e6OjDltDP5k53RzRw7LcHleaMToVskscq7r\nCkydeb7XJKxpltR/mXPK/vH21rN6OcHV1dVyGicDBazJqdxBbbUjo+GuL056B09OQpn2vkfEiAzQ\nZZu6R5N5DF1eL9MrPbXNx3iWcufZDj539DmmTbGQjsYD3WRmpMjFFjNkLrIDZEaa1L8cn9w/z7bg\n+xxD3pOIdAqgm5ubpcGWl5fLroBPnz7Fb7/9Fr///nt8/vw5Pnz4UIqEeImvtgGeuSe+2rvm1ab1\nOMvh7gdtp9R2SJ4M6QV4vZp2BvwZM4ho7vjx73jPjvcJyPoBrCFAt8onjN+jSzdKT1lbW4u1tbVG\nwrSSmiVj3NzcjPzNCytnE0zX5QLgngaZ1Hu61bXv7RK02W9c4FigOusn1+x93Dmg6n71IiNVPifH\nc43ZUg7IgK8N7NiPJCD+nprMVFsUurROAfTTp09F7yD7VHGQvb292N7eLmexMz9LmkYbcGT6nCxz\n9xxECbpO8bWysoSbpxX5URN06WsM1O+b98Fn9UH8nnmQWaCHJfm4vc7P/aaL7M+r73QAFYiyviu3\ns2obbcRLZgKPBWY0NVtAnZERJLPJ9R4gOu77ugJPPU/Wb17pP/N0vN5mtk2XLrLPRwatdE98vmy+\ntckv/AyBPSMb/nlvE//Mz5BSOgXQf/3Xfy0Aqrqe2lal8nQqDMJUBaYCZXpXRHMikK7LHEBr7okz\nV+qQSjnSyZA6PI2J7WShXnKOq2wbaGfAn63e7wWeDpwK9Pj5UazzmNUJyFi3p5UwSZrskwCqLcDK\ni80Ku3CC1KQasiVZbRK+l73XRI2IEfD0fmOAzr06yURMs/OKady5JkLgWryP67Zn9znqbrs+4xF+\nygbZdWrzaNL3dmmdAuj/+l//qwSQfGeANvXzzBQyRV/9HISyYEwmFrsOk4Go3j8cDhuRRdW+VAFh\n7Un3M8NZV9O3SrYBaNtPGd0WX91/1AieBE5nih7wkcxCVuO5m5pwWuAEoqwV6XmgAlD1g6ehZP2s\n9qi5p+zb92byP9M0HjT+fRuk+k2Lj1cUo77P7Zj+ymSTLBtkkvbkGHevJ7s3pi8RfCfxPLK/8/3v\nZZ0C6L/9279Fr/dyfronyMpN8xL+tYi2jMA5LrFdE7sGohHN6jisGK4osKohnZ6eNoohaGdQ7RCs\ntslaczn4N5nuj2D1oyCgazLFiIvc5uZm4xQAMkZPLePC4yzGBz8XSNbEdFd60gngbIgun/5G1zHT\nlP+sYKp28RRB1b7c2NhobIFm8Eftn6XN8eQCeVj9fr9RfSzibRkMZJxZTV56gP1+v6QuZbIL24Bz\nSN8/HA4b7JZk5L2sUwD9l3/5l4gYdRPZYFrZ1Dk8fjYrueaNn7GYiHowJtNEqQX52eF6KXDkrJNp\nRjXwHAegki88iuqsKhP4XV+d1MhgmCWxvr4e29vbpXqN0sqyI1AI6KwYHjF62F/WJpzIGhcRMaLH\nZX3nbepyh8aAAJzv8fv5Mxr7jzKJ+nBrayu2trYa5R/Vvi5ViYESPFmD9urqKmZnZ+P29jZd3Cdl\nnwQ6J0CMfei+xHY9Mt8GoJ6BoKT+mgTQNZh2CqB7e3vld3dBvTIRawWyXqBvW/Qtlax+zZQVDRAm\nt2cpG3Q9dT8sAcczhHgcSRZtz/TWmtEt53PxeZzh+UtM67VA4AOO+tna2lpsbGyUIrTMy6Xr7oxB\ng12gysVIu0ToavJ8KgWn6LKx8j01Zs+JdTBlsIORdv0tc+X/GUBUXgRTxeRBeKAuonnqqR+XIfJA\nT9EL+HibTwqiLr1lgUjdU8R3QPWUpBp4uiwg8HQQfU9G2imAbmxsREQzcVdANRgMGpVa5CKL6WVV\nh9gwrqGxczk4MgbDCcRkX2fBfDloepSdga9JJ6U6kxokS3URUMjS6SKzZOBr2KiDqCrhCEhZeYrJ\n7n4KAEHJ5Q+el0Q9lADK4BTTlngQIVk/F61Mx1Z7kR3reXnP/0xaqIAj27CgFwGUbUNX/uHhIVZW\nVkoOrgcMvQ31e0Sz8prr0xHNtD0CHb/Tk/MFfhn7zEBU71XRE2GDZADu+uN3kHj9qHWeSM8BS9BR\nnUCdF39wcBCHh4cj9QL1sHTbyT7ZwBwUWUqGT3i6c3QbfYdRpm26DPBaNuP6ow966laDwcvecDGy\n2dnZEZkjol5CkDZOgOeAzQI2Ln1w26VyZbUYah+/gJ56uEBaurhKm2l8XF9fN85x8mNIMuajPsie\nMQsa/tnN+y3L3832g0c0JQ0VJM4qjjlzdQZPzVn3pO+n1VINPfah2hECUI9vZJo4x63AU/fJ311P\njfiFAdQZlH7XTpPz8/M4OjqKb9++xdevXwuA6nxxgQIjjQTOjHkyEuw5mQ50rollLv8kScU1jTNb\niSNGtzgy8q2gjQI2YmTO7K6urhqDwasV8T78vnxF1/15YEHX1KDMzm/SNj4F3PwIkqwAdC3lRixp\nOByW7xUg0ythf9bMGdI/szkzyzRDT/mTDYfDEcZG4GR2hM8NtS23Y/KefH5kXiI1WAWy6ImoiHOm\nf2bP3+/3y33WnoeyQa/Xi/n5+c764l2qMXGl4YRT1fWDg4PY39+P4+Pj9MgKX1UVoatpOr5P3XMT\neU+ZJup5qNlkrIGmr5SZMXePwr+0x42NjVKt3hkZjzrIhHFnA7oPX70ZndTCIyapQ7uka97d3Y3o\nn9Q5CXTMVlCe7P39fWlTMe+s6o4HkshsPV3M+/O/otXGV21xz8YldcAMeCNG9VLOp5mZmUZ9Wn5n\nRDTAlvKBsIABW22mEXguLCyUhTtjoVl7uCuvLaNZ6US9f3l5uYPe+G6dH+nhjcWzxbm7h3UvpZlF\nRJmsEdHoAHVqRJM9eVJwxkBlBEb+f8Y0a5at8JnYzVVYncvAjY4eYOBGGwwEoBl48p51LWegGdBy\nwggMpTvqOx4eHuL6+nqkpiInAUFX9UtrNUx5XbnydDU9H5DsRK+fXVjlVzVnna5PZrp/Bqb6vW1e\nMEbgOb7c005zjZUZI1x8Jfu4Bv709NRIm/MdVX4tfzbNRY+XeE5xxPct511ZpwB6d3fXaCytNDWm\nQobBVZFWA71aHqIXIM40s+y72/4/YjQIw7SMWsI3PyP2qYraAs/t7e3CQB1AfaurM4KIl2Nndb0s\nLSozAai+W4PbgwkOoPIoPPXFz4x3FqK8Qu7frmUeZIVVXhMw+2czMkUfZ5mm6B5b5gZHNMfLcDhs\nSC3u1akv5+fnUwCtAS/jIdqi21YLViBKDyULaNFzdLKSlcjjnPjtt98665tOAfTi4iKGw5f6jtwW\nqd08WcQ9YnSbVzZYZJmuSW3TJx2DDLQ2F8c/IxDIRPtacn9Es1Ppvm9ubsbm5mYjaV1BFaYrqS0F\nbIuLi2WxkEslzchz7dwlI4sXSLvMIlfbB57aOUuBUSoYA1wOoEyk9/5VH43rx/9qxjnhAVWvJUBd\n0WMFDLzwuyNe5gZlJh2d4ScDKDfUUw0FhCrGw/xTvVd5nuxvjr2bm5uyG45bebNNHAJkjhOCaFYU\nh232f/7P/+msjzoF0OPj48Zqc3V1Faenp2U75MXFRQM8I16AyQHKNb9M18vMQZV/z9ygceBMFskB\nRj0v27ct43Px/Bfl7mU5e1xVyeA8I0HAGfGyB50ASPZKtu7pXqzvWAsqRDSDdlmd1LZSfLpXLQ6Z\nzJDp1P8V3XaXiNT37FstkJJexO7UX66JKsDrHp6ux3FGEBUAanzxbz4u7u7uGm55bVMF2SoPXdR2\nVKa6cV4RrLPNF5qvdOP9JIgabrzVOgXQr1+/FgaqDj0/Py/sU3on3U91LAeLR88yoOPq7BOSLwci\n/5y/NwNQpiAJMMUa27Y88j4JvsqL5BHHHAQCIyWUO7Nje7lEwK2z+m7ma+rFldwlALJZ19s4KRi0\na0s14mfJSGsAmkkr/+yWjU/X9BiIE4BSW6RbnAEX51p2fbJdjScGjxYWFkZytTWOpJ/LI6Ir74si\nAZAAenFxESsrKyOpbrVtqV6Tl3EUFsuhN/VLA+h//ud/jmigahixTz/LhOkFHDSu5dEc+Gogqvfy\n+zk4M4nAJzHZn1ZlFXDQ8aksCs1n4v3qmq4BypWOiJGBwYilAjTUjCNeBovujScTKi1KYKxgHgd+\nlrXg6TA0nwie0TDOsgAA/+9HLPMmfmWja+3AWcvvJCAIQLUg+uYLLnDPz8+N4EwNSJyFqk/lQdXc\nd0kHIgDaT0/5x1kp5SDp715ZivccMaqVZ3EPtqGnQnZtnQLoly9fGgEegahSU3RCnx5ybm5uRANV\nB2ZgKFOnZFqpT36yyLYAEK/hUW11gPI3lYKkrXNaMQWgztr0039XpzMdy3dISR/Stlc/6lj3LheP\nx7suLS1Fv/9yXrdORfSVnNkT/uzjJI5asG5S6wo0a6zqV2KzvrCPA07W+nRNWmNbC6oXCNFiyzSw\npaWlkms5iWQkmSji5QC4zMN4fHwsuZWSg3wuOHhy7HFfPuUx1y91r/ysLxLuNZKwZGTsR61TAN3f\n34+IaAACk7Spp2i3gKzGKN3UGTVQ5OCKeNE+PcDiEbos4TiiyfCUgqQgECsXeR1GSgIcMFlNRg1+\nueueyqOJoWANo6Ba9V3/kTuvRYp7zyPaK+GPY5L/aDebIJR5GjJfsNrumZ/zhYNAzO+rfVd2j9n4\npqdVc9X9FNOIGPEcyBLn5+cbCy23AOuV1Xd1ENV9KT9YyfeUe3Qvj4+PMTMzUxbqrAC394MYqRLg\nNe59blK7pOfEJH96QoxbZJ7sLw2gp6enEdGcnL5KRLwI2a4VZu53xoDIQDPd1F0Mp/QcnBygBFG6\nVxqYcpFVf5E1GKnVyNjRZJ1klh7JZmAme1ELVTuIZXoOrAY+2TgHrg+8Lpnla6yNRdbeX3vRMk07\nkxDGvfz7svbK7tG9IZePNObcTZf76rIQtUV6eepL9ffCwsLIyQl6sVBMbcF3FicwcsITEUX/HA6H\ncX9/35hPDKpmbFfXGQy+FxBh+hW9w7Y0piydif2axTu6tE4B9Pr6emSF4YO6rphpYRmroLlb5ik8\n7GjdC0FQWqEifSwaTLGaL63E/Cz3sDPZXcZ2EBvneUt8sQKR61cebXSxXM/PArm3t7eNrZJ6Lp6t\nnRXpqLGs97KMpU3ymYzNZR5LDfBq35NJQrwnfU+WsN42eTk+6VJmjDMDT11btTkVyGEhHKUaSRpr\n82gkOTkTrXlgWduSDfZ637VY12jds/P+1Wf5PZP0A/t0XB+0LbBdWOeJ9LIak3HXyH9vY5/87ogo\nYCk5gC6GwEXvYyK7WCSDQNQwvdPVsQJhL9gQEQ2mSZbHCLjAU0E1Boc8jzJ7+Q4P13gpUej/np6e\nYnFxsSxYYigrKysjUVrvOz3Xe1gGgJMM8jbQ4+fbWGfEaHK6B/ccVAicXMw8AKfv1sKbpZ95UCg7\nh8rT0Bj95oIsV53J7v1+v7EYuxSkEwd8w4THEtTeWXxBpvFDt7t2qkBmjg0C0hr4ZbJMmxfAMfMe\n1imAcrLV9KeIvOCF/6wxUboY+neWN0hwYZRaASBtpWQgSDpmlkuXrW56Zk/qZZSRVZW0ja1WrNlT\nTzzCXWNTuidOeF5fSfrSS/v9fklRydzRzJ3v0nxSOgi2fc6B17Mp6I5qfPjnPcDgmyKy7X/MXaxF\nujXedF810HQJSQDqUXLmVwokNZ6yerUkFkwv80Vcun2264wLiLNm7ze1aRZXyHKJvW/cMqLVNh6y\nPq6Nm/eyTgHUWUxmNbdcPzPw9M+4jsJACnUVgYUSgLUHnQfdeTEPT5lgxC9Ln+CEYkoF/581AbT9\n0QtmuMzBtvHVmyxUE/vh4aHhDnGyMVeVCdUq3uBAXdNFf8QyWcQ1wZq75mOEk5ifzbQufy/d5xqg\nkUGRBWbRbjE9Siu1oFANPL38HPvPI9U8rdRPSaBn4jEIMtarq6tGrqXuwY+yJpvUTz2fj0+PM2QM\nVF7hJGNpUnCcxN5Tino3AG37W0Qe9cwGvgOpA2U22ei+K39tdXW1gOfHjx/j48ePsbu7G1tbW7G+\nvl70zCzayUj53d1dPD8/l985mH1AC0A56Vh13WsB6DkzV4qMNEuSlgbmaVGaeDwkTu6hdNGlpaWR\nBcLd07e48t6vrgm621zrz0y3dObqE9UZlCa1wIKbGbhN1gtcuxvtFaMIZMxDbAPpTAaSx6TrqB81\nxlRTggWnCd4cQ+7BMOdSIJw9c3av+v+2tnEZKQsEjfMu/qz2LuXsZLVVpM1lz3Qxugv6Pr34f3qv\nNFEJ6svLy+WI5Y8fP5Yz6nd2dkaOsFCHa/Bp4HFXz/Pz9+R31q70Q+fchSKQ8gwo3wlEt5IDUBMi\nY8T6PNOQXEIQwDNnVe0siYMv3bPaos31yiwLBrjbTHc5C8JlGq2PC2eynkfJqvttRzc7E3MtXO3u\n3oQfR6MxqXshWDrD4zUUJNIC7afEnp2dVQvxeBTa5bPMlXcgdwDlrjYex+IRfI2PbEeba8mTuPF/\nNvspDFQN5qxTPzNm4b/XXPnn5+ei+WjQii31+/1YWPh+Rv3W1lbs7u7G3t5e7O3txcePHxvs0+tT\nCoQ4SLRjiAWiWSRFA9tThKiJ+p5038OrSacVn/vkBegERk9t4k+6b4zIMmim71V7uQ7G9p900Lcx\nQGeCmbvsC8W4QI0DlgBAIMljm/W7Z1H4vfDZXRYRKyQLVb6l0onIQt2tdX1V38uxxeO1Wf7RT4at\nST9ceGpBTd4T3XQ/6kVtSC+Gcpc8IJczfNHjvP9nsXdloBFRBc8MQDPwrGlk+rznnHIlnJ2dLYGj\n7e3t2N3djd3d3fjw4UNsb2+XKLyf/0O3WHqqgHUwGJRKUwJQHWfhxYQ5qDNQ8EEmxqwdT1r1efRF\ntq+dZeQIoN4u3J/88PBQnlvPSje9tmiNM9fC3C2k60jwkv4nxkTgrxUqcebJo0OYaaHAIYtVeNk0\npt145JhMTu2/urpapBiCmtpQ4O7uLL+b7S53nRXMVISHFfq1kYJue1tQxr0SEY0sUKQX81F5XpaD\nKPtN9+9nWWW5o/9M9i4MlK62W037JEC6W+YD0NkB3RQyurm5ubL1Uu67AkeeBE93ipFngafum/v8\neUCeBrjXwvRUmCxvzRmLcjU54bnPmAzo8vIyZmdn4/r6ulzD2S/lBEoKBGdpb7x/789xpj4jE8wm\noB9e5/mODLzpp7MuXlN5umw3lQvUUc0CUJ4MmpUibAtmqQ2z9COyLwd4jmWyeS32Dw8PDdZ5dHQU\nR0dHcXx83CgBWTupdJx5vuVgMBi5N59r/ozZoYNMtxoOh436Fzym5zX3+mezTgHUJ1rt3zX33SN6\nmfvn28QcRCnkE0B59jnTlriDiBqc67ERLyySA4VnaWuvP5OCszw4fre0Wj63QHR1dTU2NjYKS+71\nekWHkz5GFhBRLwnnTF1MiulN+puzvUkGvp7JFwGd+6R0MW1/ZS6iZIqIl2CNH32ducoM2Ci3Vdts\nt7e3i6ehbbdZ7mObd+MA6iDrfcYFSFbT/9QXXIwdPLUw+3O7nDGJ+YLo+Zb+PCroPT8/X7wcFvzI\nCn1obKrvWLryNWPpz2TvCqCTvrcGoG3b23x/MIEj4mVHhtKXlPvJlKW2Gp7ZS6yBhT6Yj+el+pg7\np+/l/Xp7EHQJQtJpVdyB1eOpkWbgmeWUMkqfsT8WK5k07cQ1XNUNYOV9sUFJJxmA6r5804EWC3cR\n2c9qq62trfjw4UMBUC5CSuXyxPFxckXGSLPgVr/fb7iuDsaUh3hqg/TOGni2pbq91jLvwglDv98v\nMop2Ni0sLMT19fWIZqzPZBKTH8vyz2bvcipnRJ5AL6sBVKZp1SKnvpeX14x4AVDXxLiNzcX8LFDi\n7jcBlNvlvCahD0yCHMHOr+fPQHalakqPj4+NvE5nNXThdd+8HgMKDw8PjXtjsIvBgHGDPwN+ZT5Q\ndyaAMq2KwTsxUOYreoBHwbper9fqvtN1d/B0UGwDUJdbGLD0tLLsM/ybxhAPWzw5OWmc3MBNFmSe\nXZtH7sVMJV1J9lHgM8vzZF6obzbIFuN/JiDtFEAXFxcjYrTqCv/tK3aNeUo/k2am4h0uYnMF1LUj\nmtqYBy8Inpm7xn/T/WVCsrbHefBGLnk24fSddPOdOXqaEhm1Vv3h8KW6kq5F19wDVREx0g/MDHAG\nS910kkGfMWfJD3Kld3d3C4ByIdMzeaaB9zPvUfb4+BgR0Ui70XgRw2WqUrbv+7VeU83lZTaAxgBd\neY0ltTlrvUpHV8DoZ4FnZuprLvYEUw8+kcVH5EHd12q2fybrFEDX19dTN9J3u7AR3XVlNJWFi8Uk\nWD4uA1B+L3eEcEeFp6k4+PL+s6T0tjOAas/lMoHcTwIUo7wMorBYBJ+JoENd06PWntIi7ZD6axbo\nmtSF13do4eOur62trfKihOKBCGfB/vcsi0Hv97zPLEHc2dJrgFPvZ2BQbZcFn7SoZeOKAKpMDoJn\nTfP82Uawaws+ufzhZOC1Y+nPZp0C6M7OTkS8bDXUQNdA8Jw+sjSBp5gEgw+aeApA0PVzdyzTpGqp\nJD7Ade8c6NQ7PXmauZw1AHXGoutpRde/HUClcdYSmOfm5kbcbgE860B6e7t34Gwse98k7DPLIGDR\naTFC7r/mNkZKKc/PzyO7gLiLhulifIYswOPApnv+UcuYaAYqZHMCFbrv5+fncXZ2Vuoj/Arg6UYv\npia/1fRh93z+2axTAP38+XNENA8fY+J3VpZNA0ysSqCRFf1Q9DYLBripQzl5GNTxSeSsk0CmYIa2\n0nGgZ0nDdO38p67DCa02U1swuOAsirl6Cp5oUsot9G2ifo96XrprbpMMeC58rjdrsXPd2aPfXNwY\njFCbPD4+NrYS+qLp/ZexHn2fu6avtSzgwmfQK5M9XEPXYsDiMr6TzSWAf7T5eGnTj8le/xmBU9Yp\ngP71r39NgxS+E8aZW8TLkQHSscReFBBQGgp3DXkEPZsUPuidHUREAzhZvMEjpNwVogPymFKj61CO\noODuOmPm+ujaYnVeHYjarUBVEW8eNexJ1zUt860DnODJBHZnnr4H36UTZ+lqj3FaGwGz1+uNbFv1\n4N7T09OIp/JWJlrT7h1ANbbcw3EQ9XqwXUXb38s88PRf2ToF0N9//z0iYgRA/XgK1+kiosFAFTHP\nJmJWQT5joBGTrZAETi8/pwjp0dFRHBwcxMHBQRwfH5ddRxzsEfkuHO52iXgp+acJzXunOz4zM1OO\nqfWNBQQTttva2lqj0AV3KHWlQ1EaYaaEgkZKW5LmyaObCaBtKUS+qHBRzqpiSZtj7mhbtoVnRPxI\nO/iC6QsVdW4GWhjZ9rJ4ZM1T+7WtUwDd29sbiSZzkHghDU+IphvIIzMy5sldHRHtYOl/y6LeAni6\nVtqqeXh4GN++fYuDg4OSn8f0jIjRQArTr1SkJOJ75FiRTYIowU3pOZl76Dru4uJizMzMlD3/zE91\nBqqJ+5rJ6e3K5yR4bm5uxocPH0qlqw8fPhQA9awJ16En6RvPu+XzqT25oPg48UX2R0HUwfP5+bn0\nj8BTf/fUIGfSHrB5zT39DBb4I5rxj95fNr+z7/5HseHOo/ARoy4x91/Tldfk1oBRzqPnfWbuX+aK\nRtSBtKZHeZkvJW0rtUTJzXqdn58XZseIdq/XG0m/4vHCmkxyz8mo6LJ5EOvu7q4BnnTrBRJKBVpe\nXo7Nzc0G63cXPiIaQaXMvA0JFrq+nlPMc2dnJ/b29uLTp0+NLbPZGTxtIKoFROPF+4WV/G9ubkoq\nk++99mfLJmCWGvUacxdeXob+TtYvbTerzEQtX4n4kzyDA22XIFIDzUnA1IOp/rdJr61Fr22hbQt2\n/gxQ7RRAl5aWIiJPA8qKELt+yBxQVun2oAGjgbIsIujv4b154EX5eCcnJ+V1enpaXoqWXl9fN45X\n4ARSCo+CKJIemAB/d3fXyN1s07sYzLq5uRmRBRhMExvU59TmvitG98F294lYC5Zwjzv1zu3t7fj4\n8WPs7e2VpHkF/fzsHS4CNV2TGiH7hYnm2h+uTAaXhpjxwcVJvy8sLERENK7vNkkQjSyUf6frLnYa\nEWUThNcFWFpaKluB1Yfjru9a5HsAhrfNawH0taDmY66WBsj+9FS9n8lM32UnEpkU2dPc3FxDv+IA\nj2juZmGFHH5nRDQAQT/bAhI0B8/r6+viqh8dHcXh4WEcHR2VGoza667iHV73UUAgHZJ7sVVrdH7+\n+5nZiuoztzFjGW1Bh6urq0aVHDH0Xq9XmK6v+q7T+e4QN7Yj804F2txzrsr+Yp3aOslEeS8EU0sn\n82fl/vCDg4M4PDwsBTZ8IdPuJO4Q840OvjFgOByOLM5tE76NlTG/dGZmpsHylZalvn16eoqbm5vY\n3t4ubFrPorGUZXfwnvjdnBtdAUYbcLaBaAZekwKaM3oPour/SII8PdLB9L2t83J23uGuP3Eyu2Du\nk1YDjukpbczTc/4y2u/gqdJh+/v75XV8fNzYEcLJSMmBgLC4uFiSx7kPWwA6HA7j7u6uVE9iW7Fd\nvKKU2sB3sDBQtLKyEhGRFlvhPYo9MgUry8nNAkVk1woWCTy1y0hVrjxPlzok78nB09PHzs/P4/j4\nuATwDg4O4uTkJC4uLor+ybHT7/cb+iij8b4jRuPOayr4OHZr09w92EegEzhq4fRyfVoEFhcXizSR\nsVD37jQvPNf3LTbObW/TI3Vv/Jn9ra1dOeZ8Y4RXfuKWYwbiagvle1mnACo9KqKZHsMoZA1QHXjV\nSHTraoPXE6lr+Z5arZjEfHR0FN++fYsvX77Et2/f4vDwsOxFZrK861kCwZmZmaI/su7o3t5eAVAV\nAbm7uyvHhnAh4WrLFC89X42hMdIuN1FMkdWrmGbE0nuex6o+cJddbJcu+4cPH8rZUsrTpd6Z7fyp\nLXJ6NiaZK33s8PAw9vf3SwaE2Of9/f0Ig1Z7sgweXXvqzZpoOnCPzF3jLzP3cNwL4uLqc4CZAATC\nXq9XxtDZ2dlIjjHnE7V7yhWeFpgB7zj3exIAzRaO7Fo1MM3aNVuwWUKPqXBeOcz7Odsd+J4g2imA\nqmK7LGs8uh3Z/0VEWaV9gLo5+3TW5a4Z2Y3SkwSeX758if39/Tg5OYnLy8uRc26cmRFksr3fYqAr\nKyul01k+zvNEBXTcuskglSYe2QsHj1iMvpM6qe8OErtmBSlOZrWh53dqU4MDZxZpz/JzM51az6Tn\n8vxbr415cXFRtE8HC967u/BZmpBANDuN1ccv7z/T5/j/2RwQw/TULbnsOnZGCwT71AOLLGaTsezX\nAEYbqGZg2TYfa2xzEvbpC7bvRJSeLuLy+PjYOGTPD9rLtjK33cNb7d3Oha+ZA2kmANcGwLjVi9oJ\nmWhEs87kxcVFcdu/fPkSf/zxR+zv78fR0VHJ8fQUJc/H1IvJ/757anNzs1EM+f7+vqEFEuj00uTx\n4saUNQQ2fjqkAioCaAdQlXoTwxaTo5ao5xWoiwXwuZjj6VF23qf3E39yLGTuOzMhBJyUVGpBFk3G\njJn5oq3rrq6uNoqzTDLW9PK+yUBUxgWK3zU/P19SwaSJchEV0LPPVYPWj8aetIJWm8bZ9t42LXQS\nFz77braDyIi8OdXxVUDWAVQ1ef2kW+YIZ6StK+sUQHWui1uN4lMAd2bgaT0OrK7ZCdyyHTvD4bAU\ne1Vy/MHBQcN19+CEwEjfqd/1U9fwit3aBMC933LhxcwEnn5w19LSUglauYut61ITZZrP9fV1SZuK\neAFRAShZpMCIYO3XYWEQZhX40RjMlHDW70ZvgP1YSykTQGTH+GaBRP3MPBqNEaYOMSCR1VZ107NR\nctH3OwuteUyUMDiGtEj5NlwHT7FzFSFhcKXf7zdAoysAneQz2Rx349/YX1yw5Smppuvu7m7s7OzE\nxsZGqYkbEQ0pTuddaTHxI24obXRtPwVAZT5pPNXJy19lkbVsdeXA9DQZTQatWIrsHhwcjASNVCTE\nA0WZTqtrZYnzLJYhZiOm4qttdkLkwsJCg205uEXECIBy9w1LwJGJCghrRyvzGr44aEHIKillKUlt\nY4Ag56lu3LFGJp6V13Pw5PWprTqz5ZlI0qMHg8EIC+X40k8yT/2N488/U/ueTCpZXV0dOXCQmwm0\nO06bJ8hOeT+T5sOOA9G2z05ibawzorkgZbUU/CVvrtf7fjIDc2nVhu7BMX7Rdk9vtU4BVKytZpnr\n7nvmGVFjFac2ZuquFQMYcnk9OOGHdrHhFcAh4/SUErJQRgyz0x3JYAlOtSN2CUzORB0YeLyHH9Qm\nENX1FDRhor2v1Ho+Lg48DcBPBHCXvW2SETz1b44DX0C9zQk8nIQeROT/UaPUOFCbXV1dFQ9B4yQr\nj+j6t/qT12gDdm8DslUHUU/LEfvUUcTckMFAIlOfuECx3WnZPdYY5Y+CTk1L5Zx1IuJjmZtG9Hlf\nQDRudSy3F9L55V14TcCauSDudTZrh4j5pHIwjRiN5NGdFNiIrZ2fn5cXNScGVDgJM13WQZRA6nu+\nffI7oPGo2CxvUkERMmOBjsCAh4Bxt4sOjWMeoialV8aim8OB7edR1fI4J2UovpAyMs77cJa/sLAQ\nz88vxYpd+86CNEwzYxoMx97d3V0BRW63ZF/rJW9CfdkW7a0Bl0CUY2gwGBSph+0hckEi4H3g6VNs\n48wcxLK+y+SytwamMpmFz65xlh0rretyrEQ0c8EJwBHRSAf0GEvX9i4AWptI7rJxJ5C0LuoYmQvn\nbj0nPVmId4DcIK3atYPKPGJXa3h33Qik2WQmm2UbKQrMM+BrDIh5qASBm5ubEQD37YKa/GRjnkPI\nQekD3Nl9FmWfxLxt2Y/MeCBLX1lZidvb2wJuDw8PBYQ8DSwL6Ijh6bvouhOoBD4CabaFg42PwddM\n0Kxv6eVwjvB+BL5kXrU5QCbKazqI8blqfURmPW6ByJ4vu15GQDhfuNBrgRsOh41+k/dK5i0wFVN/\nL9dd1imA1jotIo+4ij1JFNdeZ0YWPYfP2UoWLODqrmuLhbKwiVfCmTRS17aSZiDjrIjMaTgcphWm\nfPDyObndj/vlsypQGRMliLJfsud099jd5NeAp48FB1F9n1w15dYKPGdmZop7JgDVe7Nzepw5MihG\nDVTmDCeb8LqPLtJjMiBVO3DiO+HwnVZZkCRjgfSqxgGo94/+Xpvf2fP4T2/LbG7o2ZnSpvbW+V2a\nN5Q4fAMK9dW3jNFJrXMAjajnijn7ZEK79pxr+yRz4Tya5qkJ3qHOHnhtBiza0lz88/wb/88BNHOt\naqsuNdrs+ArqYc50KIU8PDw03F3paZmW5INqnJuWPS+txkImMe9Dsk8FVTY3N8smioWFhbi9vW3s\n3JHr5tqzM2RmFlB7zo6FzsCTY8vd267ZDYmGe2lK2eFGD0bevY/4u3tE/DevzX6hZFK710mAk787\neHJBlmclyU19KLkq6yufG75QTBLcfKt17sJnDScjLZc7rWIRKljMEwn9aIMMODmQa52m/+egIIt1\nywZhNhB8MNR0qWzgMl81IkZyEB3onSXLledEUzBhcXExLi4uGgUrlpaWRnI9feL471nb+nt/BDxl\ndN0ZkV1dXS1u7NzcXKysrJTTOCNeinBT+/Xto+wvtTl3Z1E6YR/7sztw8vmzsT5p2/A6rnsSOFXM\n5uzsbGSbcdu+ed4Lx6Nr9LqHmt7I99RYaBt4UsLy+ZMRHZ4WS+2X0hzvg9fLAovvBaLvxkCzgVVz\n31VtRwyUZw6ReWass7b611jwuAmQdci4Fxmla3EepfZBzNQmDiLu8/XSdAJCLihkK8oLreV6tg1+\ntYG3b+ZdMNCStXVmDtRZfzA3Uq666p0q0Eew9RJxrtGyL7l4tQXEdH+apG3jpo00TNIWDp4KbHF+\n6OC509PTInMxa6TNrc4Wbt9qGzF6lpm3Q+3ffj1vi0wyqGEEyYN2NmpsM4/aP+tzioSEz9+1vSuA\n8oYzLUfpNx4VJ/t0ep4xz8xqDDJb/XiPdAM0SWt6jWufXt/RmajuxaOmYjearM5CuNuIOYLUpzTw\nyVxquZ6Z7ME24O9cuLwtI0aDYpNY1mdkxspdZWBAjFQeCRcugSjbvabTet95n2b39pax9Jq2qIGn\n5gZLK4p9ep0Gv8/sWZlRoReDU7oHvXR/XETb5IoMPGttVdM/eR9+X77DkCyTwBkRjTnlfd2lvQuA\nMkjBgclJzgRwL5LLlTVjnJNoTgQIsRhfpdioBE8OSGqLWcoI3UIOzCyhX22TufW8b4roZJQOhr6g\nMDLJY1SyEzonaT/XmGS+ILwVOGhsi9nZl6MxmIbkEVdnVA6etXtrYz++QGef8YCag/WkTDwDT56I\n4MzT0+643VjX5uLvi4xvG3bdnWOOczZbcLP28edvW2ja2p9tQlbMlLVsPhM8+/1+QxZyWacr6xRA\nuVI5XXZq7scEcwtWFhEnO6gxhZq52+b1RtWonlKTfbaWLsSB6WxIblIb+4mI0unclaGtbb6l0Ysl\nq4012LRQte3kadPMfDCzP3T/+r3NpatZjRUKQPXdam8vR+fswjW9bIL65K49L3/6GPJX2/Vq5q67\new4uaxE83TvzPnRPR3KIB8+4Wy0iGvOSOcOcD7U5OI7p11h71m4cc+wX5ufWwJOAKdLkc/eXBlAX\nmyOi0RGZQN4GCg7CHNxaNd28E+m+sL4gd9SQMTNdyicpmY5SYgRyPLudO3XkJvGearKAGBcj6Szp\nxW2amkQ+IBgA8F0tziZq5uyTnydjVh9kk6lmNYbCNmbfiY3W8h79e3xCjpuwbDc+Mz2RiBgZAzUg\nnaQN1MaTZKU48+Q8cYLB52WGgoBTe8ZZAEZgw+vrbwzeSjbh/Pa5Nq691UZ0wX0OePvo95mZmULM\nOIc4HogJHD+a99k23R+1dyuoTE0vYrRgLnceuZaTsbaMEek6nLzsSGqTSqRWqSweVMddKL47R+YM\nRACqU0Oz88/p9ss4kFyT4aDydCRnDprEGtzeBxmbmlT+kBFA3XXWz8zbmMQcODVpySI8bctTVjgG\n9LM2kdt0Nz2rLxpsL7JhzzkdJxnQJmGfjAl4FSqycD6nftczsgi2KnHppfKDYqDPz8+lVoBS3ejJ\nZIW3+Sxtbe4/2141EOUY0Hufn5/LmFH/EDO4gIgwaUNJl9a5C+8NQAbKfe9+xLHeKyrubi5XRHXq\nzMxMA0wjmoOIq4+CEGtra6Wq0OrqaqNhmTqU6YVc/QTIKhGns+v96GVf9dpcG4KHM9Fsn3w26CaZ\nxJP0oy9YZCFkEA58k5iD5/Pzy5EX6gfXIzMQdUDVvfMaHA8Z8+cz8/syAPVAobNP7+e29qW2x6Dq\n5eVlCR4xLpCdIabruNuuMa/qYDoefHNzs4x7AajA8u7urtTbHA6HDQmIgcuat9HGOtviDzXwzPqG\nRCrz6vg7wVNzx73BLuxdGKg/fOauZEdkcFC6bsFOFYvNdiCoAQWeakANJNW05KFnLCbhbkvG2ATO\nqrOpM5C0shPkMt2lzZXkwHPxPyvkodU4Y1/OAF4Lrj7RqUsJ6CaVBfh8lEZc8+TzEBQzgMtANAMX\nDz7UUpbGMVD2Sbb90Nuu1tbU9bJkeZbxY7K8a57Sn0k4pJ+zgDZruKquphMHFfuOeNFDneTwelm/\nZuMukz5cAsmYp7NP/T3iJVitfmGbZODJI2Z+aQAl4+QAyjRQj6hy94iAjw+tKCGrsPu55xHNYsDU\nfjSQdHaPM1B1RG0y6jkimh3F6tkZgPpE1eez1dbBxdN0MvB0Fy4buJlON0lf6ieZP/tZ+iTdqUm+\nn5ON8gYZqd9DDUA9J5Zjz9vCJy3bo00q0D17m2YTn89YW1R8YfLi2G2lBr2/HTw15uVlacxn7JPS\nlWIBPs+yYs16X9anrlFywfFMlSwTJuvfbKegyzbucbK8pH7/5V34iHYGShbqzFO/aw+0dEodCSyd\nRkK3XBtP55A+ma3CHEgOdnSjI5pRzazRNWgJ1JlGWWN9bR3pAKPJUUvX4ef4/kyre61e5/2mv8/M\nfK94o/vJdMjsuTjgs/9zd7zmwmtMEMQnBdCsHbJr8PvYL2x3EQA+e+ZhOFAL9Clr+REdbS67L+Yi\nHTwZQWRhe3s7XeC1eA0GgwKmrD3K7BivS6tn8fHKtmYVL89S8U0PHG/CB+7CcyDNSAZZJ+ckXfhf\nGkBdi3QWmq0mWjXUCFw9xRBd6JZOxN0YZLLUO/2IjfX19UY1dbFPTijXzLL8sczNrjHEmrUBa3Yf\n44DQ76lWIixjv5m59MI96Gprd+PHDVBfpPgc1LYy4HSjS5l5DLW+zHQ3v567kB601P8JyHktd2Pb\ngJptm3lnGUjVwFNzR5KSXHcnDDyJVPfS6zVzQQWgTlQI6GxvtrMXOfaTF5iHyhhB5qVqMeGZT2Tj\nXkc0O4iOsYNfGkC1e0HuHDspmwxytzUpFxcXS1Bma2sr1tfXC4AOh8MGgK6urjZOl9RgFoMleBI4\npf/44WecAJleU2NNBDatqDXXnZ8bZ85iXIwfB57c603GkQVQ3LJJrgkud10AOjc3V0CU4DcJkOon\npR99XuDh+YAZqGTtmrXdOBZeY7vcE065oHadNsDW92QeWZZyxu/29ss0T5EFSlXS+ukd6Z70POrH\npaWluL+/LwREOqznnjKtrTb2eOKCAE2M0Ms3ql2ykwmyDSFqG9ZNWFtbaxynw5MTvGhMV9YpgN7e\n3jYmlkDUtcWIplYpFqrqOx8+fEgBVLUveQaKRHZdy113pRmxMcnGZA6ebakqtLYJqv/vwtq+T39j\n8MzzXb1KUe2+3H0meGofulw/TpjBYDAROOt+HWTJznQPDjKeBzpuYXGX2xdLb0+XANgedC2ztB53\nKV1ucaDwYCWfzaUAAZ0vltxw4ZqnPC6W7nPw5PNr/vBUTG4HdqlMvzt4OnAy91Sg5ocQZgDqp876\nVmZdmwsI07Q8pfBPsRPp6upqRMzVgOAE8AHQ6/VKSpBO4lNUm8m+j4+PjY6hNiPgVufzcLdah0XE\nyGSs5frV9MxswnYBnu6SOgPLtDkX0d194XPUrqmfnOTSxe7u7gqAymvgIiipZZKAEieus09en3uz\nvcgFwcqDFw6mGbjW7sN1TbqVflKC7ocLMIN+2a43gnEma+n+PKBG7Y+uq8gC3XaCp6SqTJfndzJz\nRV4cz6aSBj4zM1NIC2UEFq32Oei519RAycy9rRX3EIgyI0FjnilbPuf9hIeurVMAPT09bQCjTjrs\n9XqlUbRyq8MivjMZrSAK8sjlVnRQICyXdGVlpZEGNTMz09BCSOHZiLIs2u7iN1lEjYFGjLLDHwVO\n/k4W5qk7fu+ZHuSrcNtz6JquffLYFe1JVgCnpvs6a5r02QkuAqvMfSN4a4xpYaRuTaaVue21+1Mb\na9x6hJxpdPoeAokWLnch6Ta71unBEbWzQJfAqn5mhgk1zzbwpOnf1C8JzNQf1e7aCSfZhsxV+qPc\n6cyl9hxpX6y4FTlz5ZmT6oFcstzXxCPeap0C6MHBQXkgRr80EFiiLiLKg+n9Xr+SkTO5GNTdXAvJ\nks45cGWeKpFF9TzaPQ54Irpz112LY1QyCzB4MIsDmS68sw93X/WT7UPwvLm5KUdfyGX3QFUWNHkN\n4+XE8VQaSQgRUZiHJo6eJ5NlsudtuyeCJ0/D5It1G0gIOAazwAlZaFYM2ccgvY5M9xTpcOLh6XQE\nzxoJ0DwVIHkdWs1VJfZzDHDXE1kn4w4+Fr1/3PNhYC2r6xDx4oX44Ye+sHctqck6BdBv376V1VFu\ntvKvIqJUmXb9xFMdalFjrpJZJFKAmel+1NgcQGXUMjPtcxyA/qhlgOKDyE8b1H07oGQr/riFwEHb\ntShNnJmZmbITrFaHk26zg2jNXXe2y7PhuZVRC+bS0tKIV0MtWjZu8lDn5H1k2ytVOUxtQbeWE9n7\nga4rPSoHUHpAZJ/6f11DLrZ0P4Gnu8nj0um8fQhIGUlZWloqzy5QpRZLEsQaEQ5ovCcCKMeDiJKT\nB85bYgIXc47H95y7nQLo/v5+caWZy6lzrMloBAAerfQGjRidAHTP6MplOWZcfRxAqTHp+7OA0HvR\nfxpBxQcNz0n3Un/UPqk/efGRLHCW3UMGIjyITydECkA5aDONlSCaXSvTvXQtpauxkIYAVM9LVlpz\nfydtdy4cWWUkVYNn9gc1UO4aW15ebmz4uLu7G8k7Fst1NqXv0aLg11A/M1CqwEkb8xxnAvYa85Wn\nqA0sZN5cvMm8OR8zmSfrD0kFHB8KVNYCiWTtDNo5w9VnurJOAfTw8LDhkl9fX4+wUIrnEd8fhpFI\nAgc1Ul9Jasm67CylLVCkpqtEN1j3Qub0XhH1mjnzJIB5rVSvH0DX3QX7LHjm12XUvQaeAtCIGAHQ\nDKA1EXz1r4Gnrqezf3jQYAagy8vLjciwxoWzYKZY1Z6fY48bNgSex8fHI9XgeW134Zl6Q++BC1rE\n6HEm+ry+191Vpukp4swFM/O81DZtpkVO7TQcDssxwby3LPbA4GWtrOMkHhDvU2BOouPaP+ey7pE/\nnTjJugwmdQqgZ2dnZVL5ykvXRS/9u9/vN7ay8b2+mvoKxlV73E4dBjZ4fdrPctcjclc2c2N1iBhz\n8hhMyaKf1D+zBSi7F2pPGXjLjdaip75m2zuACryoiWoiMFjA8oYCTRXV0LO7C0893aUXB9KMfWSS\nSXZaQnbgoddxEJD4LhoBIP/utTg1FsWyGBgkgNJ9zzTG2tHYk45jgpcAnv9eWFhoFBbRZzgHncD4\nnJ3kntSmJDQeF/D79rFN0sS+Vrt2ZZ0C6PX1dZlUzJl7eHhonMUd8UK9Xf/xKKXvXJD748Kwu9ve\nmOwUrkj+s62DHWx/1FxSIAOS+6hJLObDQJxrYkzjcPZZc+Vcd2LUmdv5GH2OiAaAcrLwO7VF0GWU\nccxT7FO/+8IhAKX2SReutuBmemzGhHUvFxcXjYPctJCRfVJ7JUuqvQgEBDt5aBHNbcJ08Zmy48zT\no+2TBD1rxgXBpbLFxcWGBumySbaAOZGZhA1rrLDf9DeOs5p5+hfnPNv6R61TAFWAwQeKBqd2/nBl\ncWGYxWXpiiog4i6TLGtMTpZap2T6HL8v+47ae2lt7/XVlAyF4OmH7RFAlUbk4JklEdeCCJnu6mzQ\nK+HLhddA9gnDZ6L3QEbA9CA9r56Zr6wikQDUF16mVHk1rBr7rskWirqTCWcH9HH81CazMykCDRce\ngr+eQ64/U3aY88h+9kDeW70nzgt5E2xjT5/T/3vcgK413/fae2n7W40E6R55r85au7LOqzEREPr9\nfmPC6W8+qKgXyWX0XLKHh4dYWVkpgQF1qLPJcSzRgZTv947wz/iztl0zA252MJkPmefd3V2jKvnR\n0VGcnJw0tDeyT+68yrarjkvjYNpIFsQhcCj3UebCPV105exm+655LT9FlKXcmL7EaLXrX9TgFAFn\nQFGgVevzjP17BoDnfpLhiDSw75WpIFIxOzsb9/f3JbrNcUzJSovL4uJiI+si4qVuhOc5++6617ru\ntbEb0Txbna60v98XqR8BzreYe3M15t+1dQqg3ng+OamH+WdmZ2fLyq+UCJWJ29jYaBQNiXhhoNlq\n09ZYPnnY8OM+76DZ9t4agIrxuAaYncboB4pJexsOR7eterVxTqo29pXlewo8BaCehynPod/vx+3t\nbSN4RC+CbiXHBNknNVYenie9lcyTQT8tIh7s0ktRYAUjNfboUfD55SXxnrKzuqhROiB7m0qi8q2o\nAl0CvxYZT1/zKD03qbx2k8RbjN5aFjOojXf/fRIbB3D+/z5/nZiovX3bbZfWKYBSM6F4z4dglC9b\nteXGCByYA+hl6/Re5YU6oLnelQEgATjTqfj+2srmz8HBRBcvY50OnoxA86hngad0RWphnsqS5X7S\n2sBT12f6kJczU7sSRAmQkiIyF961T7nMPOKFrNN36vAZCDZMvPeScPPz843vYJ9kDJQBUN1HxoA5\npiYZJxoTlBxYKNsXoWy7KCP9WYraj7JP2jgXetLPjLNJvMBJwdMzehxEu7ZOAZRb6vgiUOlBfIDJ\nOEiyY475HupFvs1RLlKtc3g/auAaODpjZOd4Mj6liSxYQdZJ4CLrEYjp32TfahulsmgXyubmZlrv\nkTqWnt1Bw4+U8LN4fC+0u+pyU/Wc+hsTmmXjtukRsGrgyf70AJDvV/fcQbIoX0jYHvp8tvOrzfy7\nOSY8Ws1dS4zKEwh80WLes4PnezBQWdffWZuXDqBtC5X3H2MJWYWr92ChnQLowsJCaegs+paBVm0v\n8Ozs7EgFlmwQKULPhvIk6syNzlYsp/2el8rJyT3CHOAuouu6fF5OdKZv+UuAwijs3Nxco1wfS/+p\nfmqWyuKLh+7F3fbsMDOvgJMBj2vdAlCCuPregUpgRTc5Y3s09yzohvvkIfhlDNSfha8MOL1NeR/8\nycWUwOnbDpl+5F6bEwJ9V5ay92ewNiCseZH+U78TT5gmxsXPg9R/GgBt09ucYvvDCSS9iCpFd9eB\nGIUUU9K1M/bl90K24pOcrqZX6fateLpHB68aU/IXAYWyh1xhFXnY2tqKnZ2dUmVfNR9r5fp4H4z4\nt6XsOPvXvfhAV3u5G5+1gwOd50s6o8/GUvZ3Xdf1L9fI/TtqrqAzX4GXexvZfXqQ1N1137Pt2RJ8\nluw+FBTL0rR+RsDmreYgyHbnz0kBtSaH1ebSLw+gcuFlnGA+2Zwh+EBRFNNFdxYt8FQOH4TD4bDh\nPtYoP++JAr4YooJbmTbo2yo5cXhd7+xspSSIC5C504engO7s7MTOzk6pvqN2yHahRIzmO7rmeXZ2\nVtKlPOeU7N/N21QMSkEU6sAOcATNGuOsAYJHfNvuzSduG8j4d2b5xVk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FfGg/Htqra9E7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\nAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 3\n",
            "    beta = 3.0000e+00\n",
            "    J = -5.4355e-02\n",
            "    grad_norm = 6.1677e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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S74Xnp24Qzw2NmpRMFED/67/+y+7u7qzZbNr5+XlsVZhxxFvUwzQmgJjmRqPt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\nEZECIGWNlGkuPYcmwuAaefPnuVsoFCb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4oMswD7nyx1wdi1Nen8vtemOG54l5jrAwTuBg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KvV7OTkxL5+/WpfvnwJUQsaaqfPQNfdqBju30peBUDNnpwXcSq6hsHALIKGAhMJOzmcDqzKPzw8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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 4\n",
            "    beta = 4.0000e+00\n",
            "    J = 5.6307e-02\n",
            "    grad_norm = 9.3058e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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8a4aesegK+WufV9VqKycnJ6jVau4c+oz43LUDpm9cLXiqAqDtl8NAVJ1G5E0z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sSkXq+7nd9X57CTFugz0y1oajEIvs7Pz9FutzE1NRUIhga+BvYPUvv8VrFefWpRqVQKd3d3GBsb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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 5\n",
            "    beta = 5.0000e+00\n",
            "    J = 6.9386e-02\n",
            "    grad_norm = 1.6097e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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6WL9tfXsVM61I14iorbG4w/HxsapaVKlU1GEFfC2SYbVa4XQ64ff7EQqFEAqF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\nMmmWlpawvLyMcDismqeZBZ10EKJGSeuk0WgoGpRMsJCUrlKphGw2i2Q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ycLvdmJ6eVtQR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\nvAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 6\n",
            "    beta = 6.0000e+00\n",
            "    J = 2.2943e-01\n",
            "    grad_norm = 1.6629e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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sFiwvLyOZTIpgVT6fb6oRcveCwWCA0+kU6UPN5pw/I4Goz+fDq1evRHpTu9qvLDTOSqWC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\nVAobGxv49ddf8fnzZ9GJkwcUOA9ruykvStojtRAmroFKpYKFhQWRG0g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QRwOg/EUkEgl8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\npUvpA2hf+tKXvnQpfQDtS1/60pcu5f8Dmj0ZJcGJKi8AAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 7\n",
            "    beta = 7.0000e+00\n",
            "    J = 4.9024e-01\n",
            "    grad_norm = 1.6406e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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d737H2Ax8Xld47rQeaIBjf38/XC4XBgcH8eHDB3z8+BE7OzvsHO9LkewmaKkB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\ndNBBB02iY0A76KCDDprE/wfbYyIQzNvrhQAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 8\n",
            "    beta = 8.0000e+00\n",
            "    J = 5.9994e-01\n",
            "    grad_norm = 2.1607e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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bhsJ4obbqWQtjAFi02dzczBgYIpEIU1NT196IXpicHYUHDQ0NuHv3Lv7pn/4J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\nAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 9\n",
            "    beta = 9.0000e+00\n",
            "    J = 5.7640e-01\n",
            "    grad_norm = 2.4422e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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e3h4ikQgWFhbQ39+PhoYGSCSStInm0D2l+lWLxXLuBpRUj4NEW5xOJ7a2tt6r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\nSBE5As0hhxxySBE5As0hhxxySBH/P04McB4ky1uhAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 10\n",
            "    beta = 1.0000e+01\n",
            "    J = 7.5068e-01\n",
            "    grad_norm = 1.4602e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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gN7/5DUpKSth88bcZoYLz5eVlDA4Ooq2tDc+fP8fk5CQbIHaY9rcEoodgMAi7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\nGdoAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 11\n",
            "    beta = 1.1000e+01\n",
            "    J = 7.8085e-01\n",
            "    grad_norm = 1.7791e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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HM85ps9kwNDSEH374ATdv3sTk5CTt6Y6R5v4ASeyMj4/jiy++gEKhwLFjx9aV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\nEMMOESPQGGKIIYYdIkagMcQQQww7xP8P51Bv1pN/iswAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 12\n",
            "    beta = 1.2000e+01\n",
            "    J = 8.4139e-01\n",
            "    grad_norm = 9.4568e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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VHkgkEoSHhyMzMxMHDx5ER0cHmpub0d/fD51OBwaDAaVSibS0NOzYsQOZmZkICQlZsYbS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\nEcQG8f8DxDOkqmHSssIAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 13\n",
            "    beta = 1.3000e+01\n",
            "    J = 8.6675e-01\n",
            "    grad_norm = 6.9955e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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HDx6gqanJ59aBIbiPoCZQm80GlUr11MLCs4qVCPkZDAZEIhEyMjKQlJSEbdu2QafTwWg0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\nEEIIIQQ38f8Bk4E4oXTMOSIAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 14\n",
            "    beta = 1.4000e+01\n",
            "    J = 8.8689e-01\n",
            "    grad_norm = 4.6217e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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WlnZP/VZ3XC4Xnbr6q1/9CpcuXZpXOBSJonn11Vfx+uuvQ6lUekxE3auJtbS0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\nAQ0SJEiQOfL/Abtc1vIOhOgTAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 15\n",
            "    beta = 1.5000e+01\n",
            "    J = 8.9377e-01\n",
            "    grad_norm = 4.3625e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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REhgYiI0bN+Kpp56CSqUaVKC5XC5CQkKwevVqTJ48eUT5+wzDQKlUjnkGk4/RMW4tUJFI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\nhw8fI8QnoD58+PAxQv5/CUoivJfEWyMAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 16\n",
            "    beta = 1.6000e+01\n",
            "    J = 9.0225e-01\n",
            "    grad_norm = 3.3305e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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RUCaTiUliExwcbJOkwvQ5BAUF4ZlnnkFmZiaOHDmCkpISdHV1gRACHx8fZGVlYdWqVcjO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\nRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 17\n",
            "    beta = 1.7000e+01\n",
            "    J = 9.0796e-01\n",
            "    grad_norm = 3.3380e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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C7373O3h5ed1xAkquLQIUFBTg9ddfx4kTJ1y+uMbNEIlEiI6OxowZMzBlyhSM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\nFhYWK2EFlIWFhcVK/n/K0kVEkqn9iwAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 18\n",
            "    beta = 1.8000e+01\n",
            "    J = 9.1349e-01\n",
            "    grad_norm = 3.1476e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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W1qKmpgb19fVoa2uD0Wj0iTZ7kj5rQNVqNYYMGcIZ0FsYQggr6Hzp0qUeeTsdHR3YtGkT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\nSUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 19\n",
            "    beta = 1.9000e+01\n",
            "    J = 9.1941e-01\n",
            "    grad_norm = 2.8195e-03"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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VSsydOxebN29GdXW1x8bBJaGeP38+lixZgsGDB9tjyYH/ZX8yGAxobm7G+fPnkZ2djWPH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\nJpMhMjISc+bMwbJly5CcnOzU1Zf7sDUaDQoLC5Gbm2vP9yiTyaBWqxE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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 20\n",
            "    beta = 2.0000e+01\n",
            "    J = 9.2072e-01\n",
            "    grad_norm = 4.4324e-03"
          ]
        }
      ],
      "source": [
        "from tidy3d.plugins.autograd import adam, apply_updates\n",
        "\n",
        "# hyperparameters\n",
        "num_steps = 20\n",
        "learning_rate = 1.0\n",
        "\n",
        "# initialize adam optimizer with starting parameters\n",
        "params = np.array(params0)\n",
        "optimizer = adam(learning_rate=learning_rate)\n",
        "opt_state = optimizer.init(params)\n",
        "\n",
        "# store history\n",
        "Js = []\n",
        "params_history = [params]\n",
        "beta_history = []\n",
        "\n",
        "# gradually increase the binarization strength\n",
        "beta0 = 1\n",
        "beta_increment = 1\n",
        "\n",
        "for i in range(num_steps):\n",
        "    # compute gradient and current objective function value\n",
        "\n",
        "    density = filter_project(params, beta)\n",
        "    plt.subplots(figsize=(2, 2))\n",
        "    plt.imshow(np.flipud(1 - density.T), cmap=\"gray\")\n",
        "    plt.axis(\"off\")\n",
        "    plt.show()\n",
        "\n",
        "    beta = beta0 + i * beta_increment\n",
        "    value, gradient = dJ_fn(params, step_num=i + 1, beta=beta)\n",
        "\n",
        "    # outputs\n",
        "    print(f\"step = {i + 1}\")\n",
        "    print(f\"\\tbeta = {beta:.4e}\")\n",
        "    print(f\"\\tJ = {value:.4e}\")\n",
        "    print(f\"\\tgrad_norm = {np.linalg.norm(gradient):.4e}\")\n",
        "\n",
        "    # compute and apply updates to the optimizer based on gradient (-1 sign to maximize obj_fn)\n",
        "    updates, opt_state = optimizer.update(-gradient, opt_state, params)\n",
        "    params[:] = apply_updates(params, updates)\n",
        "\n",
        "    # cap the parameters\n",
        "    anp.clip(params, 0.0, 1.0, out=params)\n",
        "\n",
        "    # save history\n",
        "    Js.append(value)\n",
        "    params_history.append(params.copy())\n",
        "    beta_history.append(beta)\n",
        "\n",
        "power = J(params_history[-1], beta=beta)\n",
        "Js.append(power)"
      ],
      "id": "3adfcf1a"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [],
      "source": [
        "params_final = params_history[-1]"
      ],
      "id": "7674f3c7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s run the optimize function.\n",
        "\n",
        "and then record the final power value (including the last iteration’s\n",
        "parameter updates).\n",
        "\n",
        "### Results\n",
        "\n",
        "First, we plot the objective function (power converted to 1st order\n",
        "mode) as a function of step and notice that it converges nicely!"
      ],
      "id": "04cccf6a-9bfc-4f2f-8b83-bc64433907e5"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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rwE2a2G+04iKizQsIAAB8CmUTAACAh9pxKEXvLpmuORu+V1FJcYXrOjRN0O8G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x/N9Xbh4eHmcf3uu+8yLI+OjjYmTJiQ5Qc5e/bsMdq1a2fGHjRoUJ7yLmkO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\nsBuKTQAAAAAAALCb/wM/rKzGn3bi2wAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "plt.plot(Js)\n",
        "plt.xlabel(\"iterations\")\n",
        "plt.ylabel(\"objective function\")\n",
        "plt.show()"
      ],
      "id": "d68b2559"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We then will visualize the final structure, so we convert it to a\n",
        "regular `Simulation` using the final permittivity values and plot it."
      ],
      "id": "ba9d0c81-5f2a-41cd-8ade-ba85a7274fd5"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim_final = make_sim(params_final, beta=beta)"
      ],
      "id": "eb6b695b"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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qamrw9ddf45dffsG5c+cQERGBtLQ0jBkzBhMmTIDZbMb58+dx6623AgAGDBiA\n1157rdl9tuTn7cvcuXP9+n+o74477sDNN9/c4ucFgiAI2Lx5M3788UdkZ2ejqqpK+n247rrrkJSU\n5HMfCxYskBb8yMzMxJtvvhmU4wZyf75s2rQJI0aMAAD8+c9/xquvvtro47Zu3Yphw4YBqP39Xbx4\nMUpKSvDJJ59g9+7dsNvt6Nu3L+6++25kZGQAAMrLy/HSSy/h5MmTGDZsGO677z7pd7Wlv5PPPfcc\ntm3bBgB4//33m53Ovnr1amm69C233ILbb7+90cc5HA506tQJ58+fR//+/bF///5mz4GIiEiNWBwk\nIiIiIqJmDRkyBDt37kSHDh2Qm5vb6EjdxoqDardkyRLMmDEDAPCf//wH9957b4jPiIiISH6cVkxE\nRERERM166qmnAACFhYX48ssvQ3w2wfPee+8BqF2g6bbbbgvx2RAREQUGi4NERERERNSs6dOnY/Dg\nwQDQ5LRirdm2bRs2bNgAAHjmmWfavPIzERGRUrE4SEREREREPon3V9y7dy+++uqrEJ9N4D377LMA\nau/vec8994T4bIiIiAKHxUEiIiIiIvJpxIgRePLJJzFhwgRs3Lgx1KcTUKdOnYJer8eECRPw/vvv\nK3IVZSIiIrmwlSMiIiIiIr+89NJLoT6FoMjIyMDy5ctDfRpERERBweIgERERERG1WUJCAiZMmAAA\nuOiii0J7MkREROQ3nSAIQqhPgoiIiIiIiIiIiIKP9xwkIiIiIiIiIiIKUywOEhERERERERERhSkW\nB4mIiIiIiIiIiMIUi4NERERERERERERhisVBIiIiIiIiIiKiMMXiIBERERERERERUZgyhvoESN1c\nLhdycnIAAHFxcdDrWW8mIiIiIiIiZfN4PCgvLwcApKenw2gMfHnE4/GgrKws4McJtPj4ePb9NYbF\nQWqTnJwcdO/ePdSnQURERERERNQqJ0+eREZGRsCPU1ZWhqSkpIAfJ9BKSkqQmJgY6tMgGbE4SLJ4\n4oknYDAYQn0ajdLr9dDpdNK2IAjweDx+PUYQBLhcLukdJTUyGAwwmUzSttPphNvtbvFj1Ir5mZ/5\nmV/E/MzP/Mzf0seoFfMzv9z54+LiYDQavfpMStXS/t8LL7wQ1PMjUiIWB6lN4uLiANQ2LmazWbGN\nhSAIDb4mnmtT3xMEAXq9HgaDAampqQE/x0ByuVxwOBzSttlslobNN/c9rWB+5md+5hcxP/MzP/P7\n+p5WMD/zy5m/pqYGbrcbHo9HsX2+uvzt/4mfi/1aonClrb+AFHR17zOg0+kQFRUVwrNpnsPhgNPp\nlLbFBrDu10wmE8xmMwDAbrfDYDAgIiICKSkpwT3ZALDZbLBardK22ABarVZEREQAABISEhAdHR2K\n0ws45md+5rdK28zP/ADzMz/zMz/zA8zvb/6CggKpQGixWAJyvnLzp/8nFgd5/zwKdywOUtgQi35i\nY1C3UQC8C4NaJDb64gVC3QsFQNsXRgDzMz/zA8zP/FavjyLmZ37mZ36tYv7wzu+r/2c0GmG324N+\nXnWpYRSmqLHRmKQdLI9TWDGbzV731hBpvTAoio6ORkJCQoOva/3CQMT8zM/8CQ2+zvzMz/zMr3XM\nz/zMn9Dg6+GSv7n+X2NfJwpXLA4SERERERERERGFKU4rprBS/74TIvFrWh89WP++IyLxa1p/95D5\nmZ/5rQ2+zvy1X2N+5tcy5md+5rc2+Drz135N6/mb6/+FepqsTqdT1bRigFOLtYwjByls1G8Y6g8l\ndzqdXqt2aU39C4OEhASvKQZWqxU2my34JxYkzM/8zG+Vtpmf+Zk/QdpmfuZnfubXqnDP76v/53K5\nVFecIwoUjhyksNBYw1B3lGD9m9RqbQRhYxcGdd8lrH+TYq29g8j8zM/8Vmmb+Zmf+ZlfxPxWr4/M\nz/xaEu75/e3/sThIVIvFQdI8Xw2Dr1Ws1M7XhUFTq5hp5QKB+Zmf+a3SNvMzP/Mzv4j5mR9gfua3\nen3USv6W9v9ChdOKSUk4rZg0zVfDIKq/ipXT6YTH4wnKOQaSrwsDUf1VzKwamWLA/MzP/FZpm/mZ\nn/mZvz7mZ37mT5C2mV8b+VvS/zMaOVaKSMTiIGmWvw2DqH6B0OPxwOVyBfQcA8nfCwOR1i4QmJ/5\nmd8qbTM/8zM/8zeF+Zmf+ROkbeZXd/6W9v9MJhNHwhH9fyyVkya1tGEQ1R9i7vF4Qj7cvDVaemEg\n0soUA+Znfua3StvMz/zMz/y+MD/zA8zP/Favj2rL39r+XyiLg2qcVkzaxZGDpDmtbRhE9UcQOhwO\nVb2D1toLA5Ha30FkfuZnfqu0zfzMz/zM7y/mZ37mT5C2mV9d+dva/yMiFgdJY+RqGMxmM/T6//16\nqKWBbOuFgUitFwjMz/zMb5W2mZ/5mZ/5W4r5mZ/5E6Rt5ldHfhYGieTBacWkGXI3DHq93muYudKH\n2Mt1YSBS2xQD5md+5rdK28zP/MzP/K3F/MwPMD/zW70+KjW/2guDnFZMSsLiIGlCoBoGo9EIg8Eg\nbSu1gZT7wkCklgsE5md+5rdK28zP/MzP/G3F/MwPMD/zW70+Ko3aC4NESsNpxaR6gW4YTCaToofY\nB+rCQKT0KQbMz/zMb5W2mZ/5mZ/55cL8zM/8CdI281sVtUgjC4NE8uPIQVK1YDUMSn0HMdAXBiLm\nZ36A+Znf6vWR+Zk/lJif+ZnfKm0zP/MHI7/D4YAgCCGfBqulwiCnFZOSsDjoB7vdjvz8fJSVlSE+\nPh5dunTxWqxCTuXl5cjLy4PFYkGnTp1gsVhCsg81CHbDoLQLhGBdGIiYn/kB5md+q9dH5mf+UGB+\n5md+q7TN/MwfzPwejyekxSwtFQaJlIbTihvhcrnw+eef4+6770a3bt0QERGBjIwMXHTRRcjIyEBc\nXBymT5+OX3/9VbZjrlmzBiNHjkRCQgL69euHHj16ICkpCbNmzcKZM2eCtg+1CFXDoJQpBsG+MBAx\nP/Mzf4K0zfzMz/zMH2zMz/zMb5W2mT80+T0eDxwOR8CPWx8Lg0SBxeJgI6xWK2bNmoVPPvkE2dnZ\niIqKQq9evdCrVy9ERkbCZrPh22+/xfDhw/Hiiy+2+XhvvPEGxo8fj40bN8JgMKBPnz7o3Lkzqqqq\n8Pnnn2PgwIHYtWtXwPfRFoEaSdmYUDcMob5ACNWFgYj5mZ/5E6Rt5md+5mf+YGF+5md+q7TN/MHP\nX7e/5XQ6g1ogDHX/L1DEacVq+kfaxeJgI0wmE+666y589dVXyM/Ph81mw9GjR3H06FFUVlbiq6++\nQrdu3SAIAp555hmsWrWq1cf6+eef8ac//QmCIGD06NE4deoUDh8+jJycHKxbtw4pKSkoKyvDtGnT\nUF5eHrB9tJVOp4MgCAHZd11KaRhCdYEQ6gsDEfMzP/MnSNvMz/zMz/yBxvzMz/xWaZv5Q5PfZDJ5\nDQgJVoFQKf0/Iq1jcbAR8fHx+Pjjj3H99dcjNTXV63t6vR7XX389fvzxR6lyPm/evFYfSyzqderU\nCd999x06d+4sfW/06NFYvHgxACA/Px///Oc/A7YPuQSygVBawxDsCwSlXBiImJ/5mT9B2mZ+5md+\n5g8U5md+5rdK28wf2vxGozGoBUKl9f+ItIzFwVbq168funXrBgA4depUq/axa9cu7NmzBwDw0EMP\nIS4ursFjRo8ejSuuuAIA8MknnzQYnSfHPuQUqAZCqQ1DsC4QlHZhIGJ+5mf+BGmb+Zmf+ZlfbszP\n/MxvlbaZXxn59Xo9TCaTtB1u/T85hXqKMKcVU10sDraSIAiorKwEAK+Rei2xbNky6fOrr766yceJ\n38vLy8Pu3btl34cc6hYc5W4glN4wBPoCQakXBiLmZ37mT5C2mZ/5mZ/55cL8zM/8Vmmb+ZWV32w2\nB7RAqPT+H5EWsTjYSgsWLEBRUREAYNasWa3ax2+//QYAiImJQd++fZt83JAhQxo8R859yMHj8Xht\ny9VAqKVhCNQFgtIvDETMz/zMnyBtMz/zMz/ztxXzMz/zW6Vt5ldm/kAVCNXS/yPSGmOoT0DpysvL\ncfToUQBAVVUVcnNzsXTpUnzzzTcAgMceeww33HBDq/Yt7rdr167NDtEVpy/XfY6c+5CLTqeD0WiU\n/piLH1v7x1xtDYPYaIuNufixtY25Wi4MRMzP/ADzM7/V6yPzM39rMD/zM79V2mZ+5ldyfrFvFq79\nv7biVF1SEhYHffj1118xadKkBl+//PLL8eqrr0r38muN0tJSAEBSUlKzj0tMTGzwHDn34e95NqZu\n4wXI10CotWGQ6wJBbRcGIuZnfoD5md/q9ZH5mb8lmJ/5md8qbTM/86shf7j3/4i0gsVBH+Lj4zF4\n8GAAQE1NDbKzs1FZWYlff/0VDz/8MD788ENcfPHFrdq3OOw8IiKi2cdFRkY2eI6c+/DFV+GxvrY2\nEGpvGNp6gaDWCwMR8zM/wPzMb/X6yPzM7w/mZ37mt0rbzM/8asof7v0/Ii1gcdCHYcOGYefOndK2\nx+PBTz/9hIcffhhZWVkYMWIEVqxYgREjRrR430Zj7Y/f7XY3+7i63xefI+c+AqG1DYRWGobWXiCo\n/cJAxPzMDzA/81u9PjI/8zeH+Zmf+a3SNvMzvxrzh3v/rzU4rZiUhAuStJBer8fUqVOxceNGJCQk\noKqqCr///e9bta+YmBgAtfcybE7d74vPkXMfvpSUlDT57+TJk00+r6U3qdVawxAd3bKbFGvlwkDE\n/MzP/AnSNvMzP/Mzf1OYn/mZ3yptM7+684d7/49IzVgcbKVOnTrhzjvvBAAcPHiwVYt8pKWlAQDO\nnj3b7OPqfr9jx46y78OXxMTEJv/Vbfwa428DodWGwd8LBK1dGIiYn/mZP0HaZn7mZ37mr4/5mZ/5\nrdI282sjf7j3/4jUisXBNujbt6/0eW5uboufn5mZCQDIy8trduTfsWPHpM/79esn+z4CzVcDofWG\nwdcFglYvDETMz/zMnyBtMz/zMz/zi5if+ZnfKm0zv7byh3v/z1/itGI1/SPtYnGwDcrLy6XP4+Pj\nW/z8yy+/HEDt/QC3bNnS5ON++eUXALV/PC677DLZ9xEMTTUQ4dIwNHWBoPULAxHzMz/zJ0jbzM/8\nzM/8zM/8zG+Vvs782swf7v0/IrVhcbANfvzxRwC1KwXXHUXor2uuuUZaHGT+/PmNPsbhcOCLL74A\nUFsITE1NlX0fwdJYAxFODUNjFwjhcGEgYn7mZ/4EaZv5mZ/5rdI28zM/8zO/VoV7/nDv/xGpCYuD\njaj7B7spr776KjZs2AAAuPnmmxv9o37gwAHs3LkTe/bsaXQfycnJuPvuuwEAn332mbS/up555hkU\nFBQAAP7v//4vIPsIpvoNhChcGob6FwgirV8YiJif+Zk/ocHXmZ/5mZ/5tY75mZ/5Exp8PVzyh3v/\nrzmhniLMacVUlzHUJ6BE9957Lw4cOIBp06ahT58+SE1NRVJSEmw2Gw4cOIBFixZh69atAICePXvi\nlVdeaXQ/119/PY4cOYL4+PgmC44vvPACVq5ciezsbEyePBmPP/44Ro8eDZvNhoULF2Lx4sUAgBtv\nvBFTp04N2D6IiIiIiIiIiCj8sDjYiKSkJBw6dAiHDh1q9nHTp0/H+++/jw4dOrT6WB06dMDKlStx\n/fXX48CBA/jrX//a4DE33XQTPvnkk4DuI1jq32NCJH5N6+8e1b/HiEj8mtbfPWR+5md+a4OvM3/t\n15if+bWM+Zmf+a0Nvs78tV/Tev5w7/8RqQWLg42YO3cunnrqKaxcuRJZWVnIz89HUVERLBYLUlJS\ncPHFF+Paa69F7969m93PgAEDEBMTg9jY2GYf16dPH+zatQtfffUVfvrpJ+Tk5MBisaB3796YOXMm\nRo4c6fOc5dhHoDV281ngfw2D1huIxm4+DPzvwkDrFwjMz/zMb5W2mT8BAPMzv9XrI/MzvxYxP/OH\nc/5w7//5wqm6pCQsDjaha9euuO+++9q0j6+++srvx1osFsyaNQuzZs1q9fHk2Eeg+FqVSusNhK9V\nybR+gcD8zM/8Vmmb+Zmf+ZlfxPxWr4/Mz/xaEu75w73/R6Q2XJCEAs5Xw9DUMvda4evCoLFVzGw2\nWxDPMLCYn/mZ3yptMz/zMz/zi5if+Zk/Qdpmfm3lD/f+H5EaceQgBZSvhkEkfk1r7yD5ujAQiV/T\n2juIzM/8zG+Vtpmf+Zmf+etjfuYHmJ/5rV4f1Z4/3Pt/LcFpxaQkHDlIAeNvwyDS2jtI/l4YiLT2\nDiLzMz/zW6Vt5md+5mf+pjA/8zN/grTN/OrOH+79PyI1Y3GQAqKlDYNIKw1ESy8MRFq5QGB+5md+\nq7TN/MzP/MzvC/MzP/MnSNvMr8784d7/I1I7Tism2bW2YRCpfYh5ay8MRGqfYsD8zM/8Vmmb+Zmf\n+ZnfX8zP/ADzM7/V66Na8od7/6+1OK2YlIQjB0lWbW0YRGp9B6mtFwYitb6DyPzMz/xWaZv5mZ/5\nmb+lmJ/5mT9B2mZ+deQP9/4fkVawOEiyEQRBloZBpLYGQq4LA5HaLhCYn/mZ3yptMz/zMz/ztxbz\nMz/zJ0jbzK/s/HIVBkVq6/8RaQmnFZMs9HrvOnNbGwaRWoaYy31hIFLLFAPmZ37mt0rbzM/8zM/8\nbcX8zA8wP/NbvT4qLb/chUGRWvp/clHTtGJBEEJ9ChRAHDlIsqj7R02uhkGk9HeQAnVhIFL6O4jM\nz/zMb5W2mZ/5mZ/55cL8zM/8CdI28ysrf6AKgyKl9/+ItIgjB0lWcjcMIqW+gxToCwORUt9BZH7m\nZ36rtM38zM/8zC835md+gPmZ3+r1MdT5PR4PPB6PtB1u/T8irWJxkGQVyD/WSmsggnVhIFLaBQLz\nMz/zW6Vt5md+5mf+QGF+5geYn/mtXh9Dld/lcgWlMChSWv9PbmpbrVhN50otx2nFJAtBEILyx0Ip\nQ8yDfWEgUsoUA+Znfua3StvMz/zMz/yBxvzMz/wJ0jbzhya/0+kMamFQpJT+H5HWsThIsqjbUARa\nqBuIUF0YiEJ9gcD8zM/8Vmmb+Zmf+Zk/WJif+Zk/Qdpm/uDnr9vfClZhUBTq/h9ROOC0YlKlUA0x\nD/WFgShUUwyYn/mZ3yptMz/zMz/zBxvzMz/A/Mxv9foY7Px6vT4k03q1OMWY04pJSVgcJNUKdgOh\nlAsDUbAvEJif+ZnfKm0zP/MzP/OHCvMzP8D8zG/1+his/Hq9PqQFIi0WCImUgsVBUrVgNRBKuzAQ\nBesCgfmZn/mt0jbzMz/zM3+oMT/zA8zP/Favj4HObzab4Xa74Xa7ZT1OS7FAqG1FRUU4fvw48vPz\nYbVaER8fjwEDBqBPnz4BO+a5c+ewZ88eFBQUICEhAd27d8eAAQPCbqQki4OkeoFuIJxOpyIvDESB\nvkBQ6oWRiPmZH2B+5rd6fWR+5pcD8zM/81ulbeZn/srKypAXBkUsEGpLYWEhnn/+eaxfvx4HDx6E\nIAgNHtO7d28899xzuOWWW2Q77q5du/DnP/8ZGzZsaLCGQnp6On73u9/hueeek+14SsfiIGlCoBoI\nl8sFt9sNi8UCQHkXBqJAXSAo/cJIxPzMDzA/81u9PjI/87cF8zM/81ulbeZn/ujoaFRWVrZpv3LT\nQoGQ9xysdebMGbz33nvSdufOnXHJJZcgMTERubm52LBhA44ePYpZs2Zh27ZtePvtt9t8zP/85z94\n4IEH4PF4YDQaMXz4cGRkZMDtduPIkSPYtWsXPvzwQxYHidRI7gbC4/FAEAQYDAYAyr0wEMl9gaCW\nCyMR8zM/wPzMb/X6yPzM3xrMz/zMb5W2mZ/5lZxfCwVCqqXT6TBz5kw8+uijGDp0qNf3srOzcd11\n1yErKwvvvPMOrrjiCsyYMaPVx/rqq6/w+9//HoIgYOLEiZg3bx46derk9ZizZ89ixYoVrT6GGulD\nfQJEcpJrmXuHw+E1tFjpDaMoOjoaCQkJ0rbVaoXNZmvxftR2YSBifuZn/gRpm/mZn/mZv6WYn/mZ\n3yptM7868svV/6PQ6dixI3bs2IFFixY1KAwCQNeuXfH9998jMjISAPDWW2+1+lglJSX4wx/+AEEQ\nMHz4cHz//fcNCoMAkJaWhrvvvrvVx1EjFgdJc9raQDgcDuldJ3F/amgYRW29QFDrhYGI+Zmf+ROk\nbeZnfuZnfn8xP/Mzv1XaZn515VdrgVCcVqymf4HQqVMnDB482OdjRo0aBQDYsWNHo/cl9MfcuXNR\nVFQEAHj33Xe9XjfhjsVB0qTWNhD1C4N6vV6VfzBae4Gg9gsDEfMzP/MnSNvMz/zMz/y+MD/zM79V\n2mZ+deZvbf9PTff8C3exsbEAatcFsNvtrdrHp59+CgAYMmQILrzwQrlOTRN4z0HSrJbeg6KxwqDR\nqN5fkZbeg0QrFwYi5md+gPmZ3+r1kfmZvzHMz/zMb5W2mZ/51Zy/pf0/p9PJ4qCK7N69GwDQvn17\nREREtPj5hYWFOHr0KADgyiuvBFBbaNy8eTOys7NhMpnQs2dPXHzxxdK6A+FEvZUPIj/420DULwya\nTKZWD1VWEn8vELR2YSBifuYHmJ/5rV4fmZ/562J+5md+q7TN/Myvhfwt6f+5XK7gnlw9al6tuO5r\npzGJiYmyHvvHH3/E8ePHAQBTpkxp1T727NkjfT5w4EAsWLAAjz/+OAoKCrwel5aWhr/97W+45557\nWn2+asTiIGmerwaiscKg2Wxu9VBlpfF1gaDVCwMR8zM/wPzMb/X6yPzMDzA/8zM/81ulxzO/tvK3\ntP9HLde9e/dmvy/nQBur1YqHHnoIQG1f/cknn2zVfsR7DQLA4sWLsWzZMuj1eowaNQrdu3dHQUEB\n1q1bh7Nnz+Lee+/F4cOH8dprr8mSQQ1YHKSw0FQDUf9zsTCoNU1dINT/XGsXBiLmZ36A+Znf6vWx\n/ufMz/zMz/xaw/zMD4Rvfn/7f1qYLaZlHo8Ht9xyC06dOgUAeOmll9C7d+9W7auiokL6fNmyZUhN\nTcWyZcu8FkPJzc3FtGnTsGfPHrz++usYO3YsJk2a1LYQKsHiIIWN5hoIQLuFQVFzFwiAdi8MRMzP\n/ADzM7/V66OI+Zmf+Zlfq5if+YHwze+r/2c0GkM6W0zN04pPnjyJhDoL4ATK7NmzsXz5cgDAjBkz\nMGfOnFbvy2KxeG1/+OGHDVZJ7ty5M77++mv06dMHLpcL//znP1kcJNKi+g2ESOuFQVH9CwSR1i8M\nRMzP/ADzM7/V6+vMz/zMz/xax/zMD4Rv/ub6f6EuDqpZQkKC7PcVrO+pp57CBx98AACYMGECFi5c\n2KZiqrjaMQCkpqY2ee/C7t27Y+zYsVi5ciU2bdqEmpqaVi2Aojb6UJ8AERERERERERERALz88st4\n+eWXAQAjRozA0qVL2zyYp0uXLtLn/fr1a7bQ2K9fPwC1ReVz58616bhqwZGDFFaauvmsr2XutaL+\nzYdF4te0/u4h8zM/81sbfJ35a7/G/MyvZczP/MxvbfB15q/9mtbzN9f/C/X9BtU8rTiQ3nnnHTz1\n1FMAgKFDh+LHH39EVFRUm/fbv39/6HQ6CIIAg8HQ7GPrft/tdrf52GrAkYMUNhpbldhkMknbTqcT\nDocjFKcWFI2tSlb3PhFWqxU2my34JxYkzM/8zG+Vtpmf+Zk/QdpmfuZnfubXqnDP76v/53K5VFWc\nCwcfffQRHn30UQDAoEGDsGLFCq/pwG0RHR2Nyy67DEDtPRObI35fr9cjNTVVluMrHUcOUlhorGGo\nO0qwqWXutaKxC4O67xKK39PqO4jMz/zMb5W2mZ/5mZ/5Rcxv9frI/MyvJeGe39/+H4uDyrFo0SLc\nd999EAQBAwYMwOrVq2Vf9OSmm27Cli1bcOLECezatavBgiQAUFpailWrVgEALr30Us39bjSFIwdJ\n83w1DGazWdMjCH1dGERHR2v6HUTmZ37mt0rbzM/8zM/8IuZnfuZPkLaZX1v5W9r/CxVxWrGa/gXK\nd999h9tvvx0ejwd9+vTBmjVr0K5duxbt48CBA/jggw/wwQcf4NixY40+5t5770V6ejoA4O6778b5\n8+e9vu9wOHDXXXehsrISAPDHP/6xFWnUiSMHSdN8NQyixpa51+v1Pu9FoHS+LgxE9Vcx08o7iMzP\n/MxvlbaZn/mZn/nrY37mB5if+a1eH9WevyX9P0EQGr0fIQXXnj17MHPmTGma94wZM/DNN980+5yb\nbrqpwajCdevW4aGHHgIALFy4EL169WrwvMjISHz22WcYP3489u7di8zMTNx6663o3r07CgoK8MUX\nX+D48eMAgDvvvBM33nijPCFVgMVB0ix/GwZR/QKhx+OBy+UK7EkGkL8XBiKtXSAwP/Mzv1XaZn7m\nZ37mbwrzMz/A/Mxv9fqo1vwt7f+ZTCZNzRhTq+PHj8NutwMABEHACy+84PM5o0ePbvWU4xEjRmDN\nmjW46667cOzYMbz11lte34+KisITTzyBZ555plX7VysWB0mTWtowiBorEKrx3aSWXhiItHKBwPzM\nz/xWaZv5mZ/5md8X5md+gPmZ3+r1UW35W9v/C+WKxVytuFaPHj1w//33t+g5iYmJDb42YMAAaT+9\ne/du9vlXXHEFDh06hPXr12PLli0oLCxEdHQ0BgwYgIkTJ7Z4SrMWsDhImtPahkFUv0DocDhgs9lU\n00C29sJApPYLBOZnfua3StvMz/zMz/z+Yn7mB5if+a1eH9WSv639PwqtQYMG4YMPPmjzfkaPHo3R\no0f7/XiDwYCxY8di7NixbT62FnBBEtIUuRoGs9kMvf5/vx5Wqzpu0tvWCwNRdLQ6b1LM/MzP/FZp\nm/mZn/mZv6WYn/mZP0HaZn515GdhkEgeHDlImiF3w6DX672GmSv9HTS5LgxEansHkfmZn/mt0jbz\nMz/zM39rMT/zA8zP/Favj0rNr/bCIKcVk5KwOEiaEKiGwWg0eq1YrNQGUu4LA5FaLhCYn/mZ3ypt\nMz/zMz/ztxXzMz/A/Mxv9fqoNGovDBIpDacVk+oFumEwmUyKHmIfqAsDkdKnGDA/8zO/VdpmfuZn\nfuaXC/MzP/MnSNvMb1XUIo0sDBLJjyMHSdWC1TAo9R3EQF8YiJif+QHmZ36r10fmZ/5QYn7mZ36r\ntM38zB+M/A6HA4IghHxqqZYKg5xWTErC4iCpVrAbBqVdIATrwkDE/MwPMD/zW70+Mj/zhwLzMz/z\nW6Vt5mf+YOb3eDwhLRBpqTBIpDScVkyqFKqGQSlTDIJ9YSBifuZn/gRpm/mZn/mZP9iYn/mZ3ypt\nM39o8ns8HjgcjoAftz4WBokCiyMHSRZ6ffDqzKFuGEL9DmKoLgxEzM/8APMzv9XrI/MzfzAwP/Mz\nv1XaZn7mD3Z+s9mM6upqAJD6YsHqg4W6/xconFZMSsKRgyQLnU4HQRACfhylNAyhegcx1BcGIuZn\nfuZPkLaZn/mZn/kDjfmZn/mt0jbzhya/yWTyGhDidDqDMoJQKf0/Iq1jcZBkFcgGQmkNQ7AvEJRy\nYSBifuZn/gRpm/mZn/mZP1CYn/mZ3yptM39o8xuNxqAWCJXW/yPSMk4rJlkFaoi5UhuGYE0xUNqF\ngYj5mR9gfua3en1kfuaXE/MzP/NbpW3mZ34l5Nfr9TAYDFLfLNz6f3LitGJSEp0QjLmgpFmlpaVI\nSkrCM888A6Pxf7VmvV4v230IPR4PPB5PQPbdHLfbDZ1OB6PRiMjIyGYf63K5YLfbpW2LxeL182iL\nQO5bLszP/MzP/CLmZ37mZ36l71suzM/84ZS/uroaLpcLgiDAYDAEtI8WrP6fIAhwOp14/vnnUVJS\ngsTERNmPUZ/YfwaATp06BfXe/W3l8XiQl5cHAEH7eVHwKOsvLKmW2+2GyWSStsWas8FgaPN+BUGQ\n3qUwGAxt3qe/PB6P9M6Yr+IgAERGRjZ4d6utjbjL5QIAaT9y7DNQmJ/5mZ/5RczP/MzP/G3B/MwP\nML/S8jscDqloJ/bJ3G433G43AHX2/+oXIYnCWej/ypAmuFwuGI1GmM1mr3e5jEZjqxszl8sFt9st\nNQbBfsdMfFcsJiYGnTt3DtpxiYiIiIiIlMTtdqOyshJutxsRERHS1+uPclRT/8/j8aCioiJg+/eF\n04pJSVgcJFmUl5cjNTUVHTt2bHB/jJiYmBbfH0Pch8ViARCae2wUFBQgMjISnTt3xpQpU4J6bCIi\nIiIiIqX48ccfkZubi+rqaqSkpHh9T639P4fDgTNnzgT0GERqoZ4J7qQabV3FS6k33yUiIiIiIiJv\n7P8RqR9HDlJAtHYVLzYMRERERERE6sL+X+twqi4pBUcOUsC09B2kcG8YiIiIiIiI1Ir9PyL1YnGQ\nAsrfBoINAxERERERkbqx/0ekTpxWTAHna4g5GwYiIiIiIiJtYP/PP1ytmJSExUEKiqYaiPqfh2vD\nQEREREREpBXs/xGpC4uDFDTNNRAAGwYiIiIiIiKtYP+PSD1YHKSgqt9AiNgwEBERERERaQv7f03j\ntGJSEi5IQkREREREREREFKZYHKSgqn/zWZGvZe6JiIiIiIhIXdj/I1IHTiumoGlsVSqg6VWsiIiI\niIiISJ3Y/2sepxWTkrA4SEHha7l6NhBERERERETawP4fkbpwWjEFnK+GITo6WnoXCeAQcyIiIiIi\nIrVi/49IfThykALKV8MgamqZe76DREREREREpA7s//mP04pJSThykALG34ZBxHeQiIiIiIiI1In9\nPyL1YnGQAqKlDYOIDQQREREREZG6sP9HpG6cVkyya23DIOIQcyIiIiIiInVg/691OK2YlIQjB0lW\nbW0YRHwHiYiIiIiISNnY/yPSBhYHSTYul0uWhkHEBoKIiIiIiEiZ5CoMitj/IwodTismWRgMBjgc\nDkRERABoe8MgCtch5kREREREREold2FQFE79P04rJiXhyEGShclkkj6Xq2EQ8R0kIiIiIiIiZQhU\nYVDE/h9R8LE4SLKSu2EQsYEgIiIiIiIKLblvJdUU9v+IgovTikk2ZrM5oMO9w2mIORERERERkZK4\nXC7Y7XZYLBYAgSsMirTe/+O0YlISjhwkWTidThiNga818x0kIiIiIiKi4HM6ndLngS4Mitj/IwoO\nFgdJFm63O2jHYgNBREREREQUGsEqDIrY/yMKPE4rJlXS+hBzIiIiIiIipbFYLCHpc2mx/8dpxaQk\nLA6SammxgSAiIiIiIlIik8kU0uOz/0cUOJxWTKrGIeZERERERESBF4x7zPvC/h9RYIT+t5uojfgO\nEhERERERUXjQSv+P04pJSThykDQhUO8guVyuNu+DiIiIiIiI5MMRhETy4shB0gy530FiYZCIiIiI\niEiZtDKCkEgJWBwkTZGrgbDZbLDb7Yq4rwYRERERERE1pOYCIacVk5JwWjFpTluHmNtsNqlRISIi\nIiIiIuXiFGOitmNxkDSptQ1E/cKgyWQKwNkRERERERGRXFrb/2N/j6gW50ySZrV0iHn9wqDFYuG0\nYiIiIiIiIhVoaf+vuroaFoslGKfWKE4rJiXhyEHSNH/fQapfGExISGBhkIiIiIiISEVa0v8rLy8P\n4pkRKRuLg6R5vhqIxgqDariBLREREREREXlraf+PiDitmMJEU0PM63/OwiAREREREZG6+dv/s9vt\nQTwrIuVicZDCRnMNBMDCIBERERERkVb46v/FxcXh7NmzQT6r/+E9B0lJWByksFK/gRCxMEhERERE\nRKQtzfX/uFIx0f/wnoNERERERERERERhiiMHKaw0dfNZX8vcExERERERkbo01/+LiYkJ/gnVwWnF\npCQcOUhho7FVif1Z5p6IiIiIiIjUxVf/r7y8nFOLif4/jhyksNBYw1B3lGD9m9RyBCEREREREZE6\n+dv/s1gsQT4zImVicZA0z1fD4GsVKyIiIiIiIlIHf/t/JSUlwT41L5xWTErCacWkab4aBlF0dHSD\nKcYulysIZ0hERERERERyaEn/Ly4uLohnRqRsHDnYDEEQcOTIEeTl5SE/Px+CICA1NRVDhgzxKiTJ\nxeFwYPPmzcjNzYXFYkGvXr0waNCgoO9DK/xtGET1RxDa7XZERkYG8hSJiIiIiIhIBi3t/0VGRsJu\ntwfhzIiUj8XBRvzwww/4+OOP8csvvzQ61NhgMGD69On45z//iW7durX5eB6PB6+99hpefvnlBlNa\ne/fujffeew9XXXVVwPehJS1tGET1C4ROpzMQp0dEREREREQyaW3/L9T9PU7VJaVgcbARX3/9Nb79\n9lsAtYXASy65BD179oROp8OOHTtw5MgRfPXVV1i9ejVWr16NIUOGtOl4d911FxYsWAAA6Nq1K4YP\nHw6bzYbVq1fj6NGjGD9+PBYtWoSZM2cGdB9a0dqGQSQ+tqCgQO5TIyIiIiIiIhm1tf9HRCwONqlj\nx4549NFHcc899yApKcnrewsXLsTvfvc7lJWV4cYbb8ShQ4daPf30448/lop6DzzwAP71r3/BYDAA\nqC1OTZw4EXv27MGdd96JYcOGoUuXLgHZh1bI1TBER0dz5SoiIiIiIiIFY2GQSB5ckKQRt99+O44e\nPYrHH3+8QWEQAG677Tb85S9/AQBkZ2fjm2++adVxXC4XnnvuOQDAwIEDvYp6AJCSkoIvvvgCRqMR\nNTU1eOGFFwKyD62Qu2EwGo0wmUwynBkRERERERHJSe2FQXG1YjX9I+1icbARY8aMQUxMTLOPueWW\nW6TPt2/f3qrjbNiwAbm5uQCAhx56yKuoJ+rduzcmT54MAFiyZEmDeyLIsQ8tCFTDYDRycC0RERER\nEZGSqL0wSKQ0rHy0UmxsrPR5ZWVlq/axcuVK6fMJEyY0+bgJEybg+++/R1lZGbZs2YKRI0fKug+1\nY8NAREREREQUHtj/065z587h2LFjyM/Ph9VqRXx8PAYMGIB+/foFdOSiIAiYN2+etHr1oEGDcMUV\nVwTseErE4mArZWVlSZ+39h5++/btAwAkJSUhPT29ycdddNFF0uf79+/3KuzJsQ81Y8NAREREREQU\neC6XK9SnoKn+n9qm6gbqXAsKCvDcc89h/fr1OHLkSKOP6dGjB5599lncfvvtATmH9957Dw899JC0\nPWfOHBYHyT9vv/229PmUKVNatY+TJ08C8F1crPt98Tly7sOX0tLSJr9X9w9zsGmpYSAiIiIiIlIy\np9MZ0gIh+3/alJOTg7lz50rbXbt2xZAhQ5CYmIjc3FysXbsWJ06cwB133IFt27bhvffek/X4p0+f\nxpNPPinrPtWIxcFW+Oyzz7BixQoAtYXBwYMHt2o/5eXlAIC4uLhmH1f3++Jz5NyHL40tyhJqbBiI\niIiIiIiCy263w2azBb3vxf6ftun1etxyyy149NFHG9RXcnJycN1112Hnzp14//33MWLECNx0002y\nHfvee+9FZWUlbrvtNixcuFC2/aoNFyRpod9++w333XcfAKBdu3b44IMPWr2vqqoqAIDFYmn2cRER\nEQ2eI+c+5NDYQiiBwoaBiIiIiIgoNKxWK2w2W9COp9X+X6hXHlbKasUdO3ZEVlYWFi5c2OjAq/T0\ndHz//feIiooC4D2Ls60+/PBDrFmzRpq2HM44crAFsrOzMWXKFFRVVcFkMmHRokXo3Llzq/cXERGB\n8vJyn6sHOxwOr+fIvQ9fSkpKmvye1WpF9+7dYTKZgjLEXKsNAxERERERkZKZTCbpc7FPFui+GPt/\n2tepUyd06tSp2cd07NgRo0aNwvLly7Fz504IgtDmYmVubi7+9Kc/AQA++OCDFtdJtIbFQT8VFBRg\n3LhxyMvLg16vx2effYZx48a1aZ+xsbEoLCz0udpx3e/HxMTIvg9fEhMT/Xqcw+EI6BBzNgxERERE\nREShYTQavWasBbpAyP4f1SXWMVwuF+x2e5uLeffffz/Ky8tx22234aqrrkJubq4cp6lanFbsh5KS\nEowbNw7Hjh2DTqfDvHnzcOONN7Z5v+Lqwr5ehDk5OdLn9RcekWMfcgrUEHM2DERERERERKFlNBqR\nkJAgbbP/13qhniKslGnF/srKygIAtG/fvs2Fwfnz5+Onn35Cu3bt8MYbb8hxeqrH4qAP5eXlmDBh\nAvbt2wcAePfdd3HXXXfJsu/+/fsDqB2VWFxc3OTjDh061OA5cu5DDnWnNcvdQIRDw0BERERERKQG\n0dHRAS0Qsv+nfFarFaWlpU3+k9sPP/yAEydOAACmTZvWpn2dO3cOjz32GADg9ddfR3JycpvPTwtY\nHGxGVVUVpkyZgp07dwIAXnvtNfzhD3+Qbf9XXnklAEAQBKxfv77Jx/38888Aahcdufzyy2Xfhxzc\nbjfMZrO0LVcDwYaBiIiIiIhIWQJVIGT/Tx26d++OpKSkJv/JqbS0FA899BAAwGw248knn2zT/h54\n4AGUlpZizJgxuOOOO+Q4RU1gcbAJdrsd11xzDTZt2gQA+Pvf/445c+bIeoxJkyYhLi4OAJpc9bi4\nuBhff/219PjY2FjZ9yEXuYeYs2EgIiIiIiJSJrkLhOHW/wv1FGE1TCt2u9246aabkJ2dDQB45ZVX\n0LNnz1bvb/Hixfj2228RERHRZP0kXLE42AiXy4Ubb7wRa9asAQA888wzePrpp1u8ny+++AIffPAB\nPvnkk0a/HxUVJa2Os2bNGrz//vte33c4HLj77rths9mg0+nwl7/8JSD7kJNcDUS4NQxERERERERq\nw/5feDp58iRKSkqa/CeXBx54AKtWrQIA3HzzzXj00Udbva+ioiJpBOIzzzyDXr16yXGKmsHVihvx\nyCOP4IcffgAA9OnTB506dWq2qty5c2dMnTq1wdefe+45HDlyBPHx8U3ep/Dxxx/HypUrsXnzZsye\nPRvLly/H6NGjYbPZ8MUXX+DgwYPSvi6++OKA7UNO4h9x8Y97S1exYsNARERERESkDuz/hZ+EhAQk\nJiYG9BhPPPEEPvzwQwDA5MmTMX/+/DaNXnzwwQdx/vx59O/fH48//rhcp6kZLA424sCBA9LnR44c\nwQMPPNDs48eOHdtocdAfFosFy5YtwwMPPIDFixdj2bJlWLZsmfT9iIgIn1Oa5diH3FrbQLBhICIi\nIiIiUhf2/1pOCSsAt0Qwz/Xvf/87Xn31VQDA6NGj8dVXX8FkMrVpn19++SUA4JJLLsHcuXMbfL/u\n63DPnj149913AQATJkwIi1GGLA424uqrr0bfvn39fnxmZmajX7/ppptw7tw5REVFNfv8hIQELFq0\nCH/961/x008/IScnBxaLBb1798Y111zj1w095diH3FraQIRzw0BERERERKRm7P+RHN58803pdmjD\nhg3DDz/8gMjISNn2P3/+fMyfP7/Zx/z888/Soq6LFi1icTBc/fGPf5RlP3/9619b9Pg+ffqgT58+\nbTqmHPuQk78NBBsGIiIiIiIidWP/j9pi7ty5Uj1m8ODBWL58OWJiYmTZ9+zZs5v9vs1mw6effgoA\nuOiii3DFFVcAAHr37i3L8ZWOxUEKOF8NBBsGIiIiIiIibWD/zz+cVuxt4cKF0i3dBg4ciFWrViE+\nPl62/YvThJuSm5srFQfHjh2L1157TbZjqwGLgxQUTTUQ9T8P14aBiIiIiIhIK9j/o5ZYunQp7rrr\nLgiCgMzMTKxZs6bFt0bbt28fNmzYAAAYP3582Iz4kwuLgxQ0zTUQABsGIiIiIiIirWD/j/yxe/du\n3HzzzXC73dDpdJg+fTq++OKLZp9z6623IiEhwetrGzZswEMPPQSgdhQii4Mtw+IgBVX9BkLEhoGI\niIiIiEhb2P9rGqcV1zpx4gQcDgcAQBAEvPTSSz6fc9VVVzUoDlLbsDhIRERERERERERB17NnT5+L\nhdSXmJjY4GsDBw6U9tOaRVpjYmKk5w8fPrzFz1c7FgcpqOrffFbka5l7IiIiIiIiUhf2/8iXiy66\nyOdiIf4YOXIkRo4c2ernJyQkyHIeasXiIAVNY6tSAb6XuSciIiIiIiJ1Yf+veZxWTErC4iAFha/l\n6tlAEBERERERaQP7f0Tqog/1CZD2+WoYoqOjvW4marVaYbPZgniGREREREREJAf2/4jUhyMHKaB8\nNQyippa55ztIRERERERE6sD+n/84rZiUhCMHKWD8bRhEfAeJiIiIiIhIndj/I1IvFgcpIFraMIjY\nQBAREREREakL+39E6sZpxSS71jYMIg4xJyIiIiIiUgf2/1qH04pJSThykGTV1oZBxHeQiIiIiIiI\nlI39PyJtYHGQZONyuWRpGERsIIiIiIiIiJRJrsKgiP0/otDhtGKShcFggMPhQEREBIC2NwyicB1i\nTkREREREpFRyFwZF4dT/47RiUhKOHCRZmEwm6XO5GgYR30EiIiIiIiJShkAVBkXs/xEFH4uDJCu5\nGwYRGwgiIiIiIqLQkvtWUk1h/48ouDitmGRjNpsDOtw7nIaYExERERERKYnL5YLdbofFYgEQuMKg\nSOv9P04rJiXhyEGShdPphNEY+Foz30EiIiIiIiIKPqfTKX0e6MKgiP0/ouBgcZBk4Xa7g3YsNhBE\nREREREShEazCoIj9P6LA47RiUiWtDzEnIiIiIiJSGovFEpI+lxb7f5xWTErC4iCplhYbCCIiIiIi\nIiUymUwhPT77f0SBw2nFpGocYk5ERERERBR4wbjHvC/s/xEFRuh/u4naiO8gERERERERhQct9f84\nVZeUgiMHSRMC9Q6Sy+Vq8z6IiIiIiIhIPhxBSCQvjhwkzZD7HSQWBomIiIiIiJRJSyMIiUKNxUHS\nFLkaCJvNBrvdroj7ahAREREREVFDai4QcrViUhJOKybNaesQc5vNJjUqREREREREpFycYkzUdiwO\nkia1toGoXxg0mUwBODsiIiIiIiKSS2v7f+zvEdXinEnSrJYOMa9fGLRYLJxWTEREREREpAIt7f9V\nV1fDYrEE49QaxWnFpCQcOUia5u87SPULgwkJCSwMEhERERERqUhL+n/l5eVBPDMiZWNxkDTPVwPR\nWGFQDTewJSIiIiIiIm8t7f8REacVU5hoaoh5/c9ZGCQiIiIiIlI3f/t/drs9iGfljdOKSUlYHKSw\n0VwDAbAwSEREREREpBW++n9xcXE4e/ZskM+KSJlYHKSwUr+BELEwSEREREREpC3N9f+4UjHR/7A4\nSEREREREREQURJxWTErCBUkorDR189mmVrEiIiIiIiIidWqu/1ddXR38EyJSKBYHKWw0tiqxP8vc\nExERERERkbr46v+Vl5dzajHR/8dpxRQWGmsY6t5jsP5Nann/QSIiIiIiInXyt/9nsViCfGb/w2nF\npCQsDpLm+WoYfK1iRUREREREROrgb/+vpKQk2KdGpFicVkya5qthEEVHRzeYYuxyuYJwhkRERERE\nRCSHlvT/4uLignhmRMrG4iBplr8Ng6h+gdBut7NASEREREREpAIt7f9FRkbCbrcH4cyIlI/TikmT\nWtowiOpPMXY6nYE4PSIiIiIiIpJJa/t/oezv8Z6DpCQcOUia09qGQVR/BCEREREREREpU1v7f0TE\n4iBpjFwNQ3R0dEhXriIiIiIiIqLmsTBIJA9OKybNkLthMBqNMJlMMpwZERERERERyUnthUFOKyYl\n4chB0oRANQxGI+vnRERERERESqL2wiCR0rA4SKrHhoGUoqamBvPmzUO7du2g1+uldwP5T/5/JpMJ\nY8aMwenTpyEIAgRBCPV/v6rU1NRgwYIFSElJQUpKiuJer2azGSNGjMDu3bu5anwdgiAgPz8f+fn5\nmDlzJiIiIkL+f6Xlf3q9Hnq9Hunp6Vi9erWmX4sulwtr167F2rVrkZGRAYPBEPKfP//J9zru0KED\nPv/8c9jtdq7MSprA/h+R/DgsilSNDQMpjcPhgMfjYbEqwHS62gKhXs/3uFpDEATU1NTA4/GE+lQa\nJZ5fdXU1f5fqEf/PnE4nfzZBotfrw2ImgZiRf1e1x+PxwOFwhPo0SAOU8CaJlvp/YhFfLdR0rtRy\nbP1JtbTUMJA2uN1uFBcXK+LCSet0Oh0SEhK4cFArOZ1O5Ofnw+FwwOFwKK7I5PF4UFxcjDNnzsDp\ndIb6dBRDEARp5E95ebni/t+0Ruy0WSwWREdHa7pTpNPpEBkZicjISP5d1RhBEOB0OlFYWAiXy8Vr\nFGoTp9MZ0tcQ+39EgcPiIKkSGwZSEnFaa01NDbKzs3nhHQQmkwldu3b1mlZJ/hEEATabDYcPH5aK\ng0ojCAKKi4uxefNmWK1WeDwexY5yDCZBEFBWVoaysjIUFxfzZxJg4t+WhIQExMfHa/rvjE6nQ2xs\nrPRPy1nDkcPhwPHjx1FTU4Oamhq+sUBtYrfbYbPZgn5c9v+IAkv7cyQoKAwGQ9COxYaBiIiIiIgo\nNMS+WLD6YFrt/6ntDW41nSu1HEcOkixMJlNQRktptWEgdRNHDpaWluL48eMcORhgOp0OMTExGDBg\nAKe/tYLb7UZubi4OHToEp9OpyGm7giCgqqoK69atw/bt2zna5f9zu93IyclBTk4OiouLw/7nEWji\ngiSdOnUKi5GDMTExiImJQXJyMu87qDEulwsHDhxAYWEhCgsL+beDWs1kMkmfW63WoIwgZP+PKDg4\ncpBk43A4YLPZAvbHmg0DKZXb7QYAHDt2DKdPn+ZUvwAzGAzo2rUrLrjgAq+LVPKP3W7Htm3bkJub\nq+jXqtvtxqlTp/Dhhx+ic+fOAIALLrggrAvCDocD+/fvBwDeczAIzGYzAKB///6av+cgAERFRQEA\nOnXqBIPBoMg3Dqh13G43Tp48iaysLABARkYGIiIiQnxWpEZGo9GrHQ70CEL2/4iCh8VBklWgGgg2\nDKRU4v3bAGDDhg28D1gAiR3zmJgYjBkzBl26dOHolhbyeDwoKirCypUrUVFRoejikiAIqK6uxqZN\nm/D6668DAP7v//4Pffv2hdls1nyhpj7xfoO7du0CAI6kDDCdToe4uDgAwCWXXKL5orS48AoAdO3a\nFSaTCTU1NSE+K5KLIAiwWq34/vvvAQCjRo1CWloa21BqFaPRiJiYGKlvxv5f63FaMSkJi4Mki7rv\nLsvdQIRDw0DqJY5uAoC1a9eyMxVA4iieAQMG4Oqrr0ZcXBwvUlrI6XRi165d+O2331Qx/V0QBFRW\nVuKnn34CUFsQ+/Of/4yLLroIkZGRYfX/L/6tOXjwIABwVFeAGQwGdOvWDQCQmZkJo1H7l8xixs6d\nO0sFeBagtcPhcODXX38FAGzatAnXXHMNIiMjQ3xWpFZiXyxQBUL2/4iCT/tXOhQUbrdb6rgD8jUQ\nbBhIycTCxQ8//ACgdlqxOMVYTcQCi06ng16vlxYYqtspFHPVHRUZrE6jTqeDyWRCRkYGAOB3v/sd\n+vfvHxaddbmI/1dWqxU//vgjzp8/r5oRrh6PBxUVFQCAVatW4fz585gzZw5Gjx4tjewKh9Evdrsd\n27dvR0FBAYDg/f75Sxz9YDAYYDKZpN9P8f/G7XbD5XJJRWm32y3dr1WJzGYzLr/8cgBAampqWLzG\nxIzt27fnlFMN8ng8KCwsBAB8+umnGDRoEHr27BnURQVJWwJVIGT/jyg02LMi2RiNRsTFxcnWQLBh\nICIiIiIiUia5C4Th1v/jtGJSEhYHSVZyNRDh1jCQOjmdTuzbtw9Lly4FAFRWVip2FExj9Ho9LBYL\nYmNjAQAdOnRAx44d0aVLFwBAVVWV9NgTJ04AALKzs6WvlZWVAfjf9EZxJJqcPwPxHHv27Inf//73\nAIDJkycjJiaGFygtII78PH78OLZv3w6HwxHiM2oZ8TVVXV2NHTt24KmnnsIDDzyAG2+8EUDtSCct\nj34R7xe2adMm6R6nSvhbo9PppBGCMTEx6NixI3r16oWePXsiNTUVQG37L94vMS8vD8ePHwcAnDx5\nEoWFhbDZbNIoQqXQ6XRo164dxowZA+B/C3VoXd37ukZERHBasQaJ7fX27dvx2Wef4dFHH0ViYiLb\nU2oT9v+ItIHFQZJdWxsINgykBh6PB+fOncNHH30kdXbVcA83oLYDGBERgbS0NFx++eUYO3YsgNoV\nOTt06CAVC+tOOy0tLQUA6X5nAPDzzz8DADZv3gwAOHPmDIDa+8KJ0wc9Ho/UuazbyWyswyl2TsSp\nbSaTCYmJiRgyZAjuuOMOjBo1CkDt34RwmOInJ7vdDqC2Q5ifn6+aKcX1CYIAu92OY8eO4dVXX5Wm\n2N53331IS0vT7FRz8X6DBw4cUMzfGYPBgNjYWFxwwQUAgKlTp2LEiBHo0qULYmJipJXE604rdjgc\nKC8vB1BbHFy/fj1WrFiBI0eOoLKyUnpcqBmNRgwYMAADBgyQtsOJ0WjUdLE9nIltb3l5OT7//HNc\ncMEFmDJlinTvQRYJqbXY/yNSv/C62qGgaW0DwYaB1EAcBbNkyRKsXLkS1dXVoT4lv4idvYSEBIwc\nORJ33HEHhgwZgsTERAC199jS6/VS56BuAU98TNeuXaWvjR49GgBw7tw5AMC+ffsAADk5OcjJyUFe\nXh4KCwulwmJFRQWqq6vhcDikwqF4HL1eD6PRiMjISCQnJwOoXQRgzJgxGDFiBNLT06V7YLEw2DKC\nIEj37Nu9ezeqqqpUPxrI5XIhPz8fH374IYDaUa6PPPIIOnfurMmihsPhQFZWFoqKihTxf2cymZCW\nloYZM2bg5ptvBgD06NEDUVFRMBgMTRYYoqKiEB8fDwBIS0vDoEGDMGnSJHz++ef49ttvAdT+PQnl\nYis6nQ7R0dG46qqrpL9F4VYwcTgciijSUuC43W7k5OTgrbfeQqdOnXDJJZcAgNf9w4laiv2/luO0\nYlISFgcpYFraQIRzw0DqIHbKbTYbVq1ahQ8//FA1CzsYDAZ06NABADBr1iz87ne/Q7du3aSCYGPq\nXgDUH9UHQBoZFBMTAwDSgiFutxtOpxN2ux3V1dXSNMiysjJYrVaUlZWhvLxcmrbsdrthNBoRGxuL\nDh06IC0tDQCQkpKC+Ph4WCwWr6IltYwgCNJorZycHM10+t1uN86fPw8A+PzzzxETE4PZs2ejffv2\nmiogC4IAm82GXbt2KaKwKy4O9PDDD+O6666TCmhGo9Hn72jdTpBer0d8fDwuvvhidOrUCenp6QCA\nuXPnIjs7O2QjJHU6HdLS0jB8+HBYLJaQnEOoiH8biouLUVNTE/LXGgWW0+nEnj178Oqrr+LFF18E\nAPTu3Vtq24lag/0/IvVicZACyt8Ggg0DKZ0gCFIxa8OGDXjttddw6tQpxUzxa45er0e7du1w1113\nAQAeeOABpKamyjZVTizE1J0OHBERIRUN604rFv/VnW4sEldLrrs/FgTbru5rt7KyUhXFbH+JWc6f\nP4///ve/6NWrF6677jpERUVp5rUjCAJKSkpw9OjRkP69EUdkduzYEQ8++CBmzpyJpKSkNhVidTod\nzGYz0tLSMGvWLAC1tyX497//jYKCgpC8Vk0mEwYPHoyMjAxNFZl9EQRBuhfpsWPHpDd1SLsEQUB1\ndTXWrl2Lf/zjHwCAZ555BhkZGSwQUpuw/0ekTiwOUsD5aiDYMBAREREREWkD+3/+4bRiUhIWByko\nmmog6n8erg0DKZvH40FlZSXWr18PAHj55Zexf/9+Vaz4qtPpEBUVhalTp+Lee+8FUDvyJxj3ZRMv\nIHghoSxa/P9wu904e/Ys5s+fj0GDBqFv376aWUTC4/EgPz8fBQUFIZvmqdPppIWKbrjhBtxwww1I\nTEyUbWRd3dsezJgxA/v378eyZcu8VkwPBvF+gyNGjEBsbKwmf1eaIgiCNE1/x44dnFYcJgRBQGVl\nJb7//nsAtb+Ljz/+OHr06AGTyRRWvwMkP/b/iNRFG1fOpArNNRAAGwZSHkEQ4Ha7UVxcjJ9++gnv\nvPMOAODQoUOqKAwCtRf6/fr1w7333otOnTpJX6PwIRaIASA+Pl6znT2Hw4G9e/di3bp16NatmzSt\nXe08Hg/Onj2LysrKkBVrjEYjBg4cCAC47bbb0L59e9n/joj7S09Px3XXXYft27fjzJkzQZ1arNPp\nkJKSgosuuiisplUKgoCamhrs3LkTALBnz56QLgpDwVX3vrTffPMNbDYb5syZgwsuuICrGFObsf9H\npB4sDlJQ1W8gRGwYSCnEzrfH40F1dTWOHz+Ozz//HEuWLEFeXh4AqKbTpNPpEBcXh+uvvx79+vXT\nzEgqahmdTietENujRw9s3bpVNa/hlhA7uBs2bMC1114rFUTVft84t9uNoqIiOByOkBQHdTodEhIS\nMGPGDABAz549A/IGg1h8sFgsuPjii9G3b1+cPXs2qG/EGAwGdO/eHWlpaap/3bSEy+XCqVOnsGjR\nIgC1K0ZrZeEi8o/4t6W8vBw//fQTzp07hwcffBCjR48GACQmJvq16BBRY9j/axqnFZOSsKdIRGFL\nHJEiLpLhcrmkaWy5ublYv349vv76a+zduxcVFRWq6yzp9XpkZGRg/PjxiI6OZoMepupOCb388sux\nfPlyVFdXa2phEpHL5cKJEydQWFgorXqtdh6PB+Xl5SH7+2M0GpGZmYmxY8cCACIjIwP6t0Sv1yM5\nORkDBw7Epk2bglocNBqN6Nu3b1hNKXY6ncjLy8Mnn3yCjRs3AqhdFIbCk7iA1bZt25CXl4err74a\nQO10/z59+iAmJsarSBguvydEROGAxUEKqvo3nxX5WuaeKBAOHToEoLZzVFZWhuzsbGRlZQEAtm/f\njuPHj6OsrAxOp1OV914ym80YOnQounTpElajYKghi8UCALjsssswdOhQLF++HFVVVap8XTdHEASU\nlZWhuLhYKn6qfRq9IAgh+xskTkmfOHFi0G5LoNPpEBERgZ49eyIiIkJaNTcY+S0WC3r16gWz2Rzw\nY4WS+LvhcDhw+vRpzJs3D4sWLUJpaanX9yk8iStXZ2dn46OPPgIArFu3DmPGjMHYsWPRp08fJCUl\nAQAiIiJgNBqh1+ulQqHa/+aS/Nj/I1IHFgcpaBpblQrwvcw9ERERERERqQv7f75xBC4pBYuDFBS+\nlqtnA0GhcMcddwCoHTlos9lQUVEhjVKx2+1wu92qHFklXmRER0djyJAhiIqK4oVHmBNHjqanp+OO\nO+7AmTNnsG/fPmn6oBpf540Rbw9gt9s1k0mn04XsXl86nQ6dOnXC6NGjpYUJgsFgMCA1NVUa8Rpo\n4s82KioK6enpmhz5JAgCPB4PnE6nNEJw586dmD9/PjZs2IDS0lLV3TqDAsvtdqOyshIAsH//fhw/\nfhxff/01MjIykJmZCQDo1asXOnfujKSkJERGRsJgMOCyyy4L5WmTgrD/R6QuLA5SwPlqGJpaxYoN\nBAXanj17pM/F+w5qoaAgdnTj4uLQo0cPLkRC0msiIiICV1xxBR599FG8++672LdvHwCgqqoKHo/H\n79d/U/ebEp8fqt8jnU4Hk8kU8PviBZNer0dMTExIbg1gNpsxZMgQ9OjRI6gFM71ej9jYWJjNZun/\nMZCvKfEYMTExaN++vWpuw1D/963uR4/HI00PdjqdqKqqQmFhIfbv34/Vq1cDADZt2oS8vDzU1NRw\nKjE1SnxNud1u2Gw2VFdX4+zZs9i2bRuA2r8RERERsFgsMJlM0Ov1OHbsWChPmRSC/T8i9WGPkQLK\nV8MgYgNBoaDVURJiRzc+Ph7t2rVTTUeXAk+v1yM+Ph6TJk1C+/bt8fnnnwMANm/ejIKCAtTU1DT6\ne6HX62E0GqV7sUVERCAyMhIWiwUGgwEulwtAbZFR7EA6HA6vRX+CQVxZNzk5WTOve71ej3bt2sFk\nMkGn0wX1ZxkfH4+xY8ciLi4uqMVW8b6DJpMpaMcDgKSkJCQmJiq2sFy3UONwOFBdXQ2bzSaN7rLZ\nbKiqqkJlZSXKy8tRXFwMAMjLy8PJkydx4sQJnD17VrrGcjgcmm0HKTDEorP4N7+mpgYVFRUAODWS\n/of9P/9xteKGzp07h2PHjiE/Px9WqxXx8fEYMGAA+vXrJ+vxg3UcNWFxkALG34ZBxAaCSF7R0dGa\nGkFF8hALhMOHD0fv3r0BAPv27cO2bdtw+PBhFBUVwW63S4+Njo5GcnIyOnfujC5dugAA0tLS0K5d\nO0RFRUGv10srypaWluLkyZPIyspCVlYWsrOzAUBa7TvQhS2TyYQ+ffqgQ4cOmioOpqSkBHVaL1A7\ntbdHjx4YPHhw0Ip0dZnN5qAdVxwVmZaWhpiYGMX9zRQXpRGnAx8/fhy7du3C3r17cfr0aakIaLPZ\nYLfb4XQ6pX9A7chBl8sFt9vdohHCRP4I9YhxUhb2/6g1CgoK8Nxzz2H9+vU4cuRIo4/p0aMHnn32\nWdx+++2KP45asThIAdHShkHEBoJIPkajUZP3zqK2E0dmde7cGQCQkpKCK664Qhr1J44m0uv1iIiI\nkP6JxRqDwdDou93iPc1mzJiB06dPY82aNQCA7777DocOHYLNZgvYSCW9Xo+EhASMGTMGCQkJiivw\ntJZer0eHDh0QHx+Ps2fPBq0DHhkZiREjRiAtLS3ohVadTgeLxQKLxRKU/0dxRGyvXr0Ud49Wj8eD\niooK7NmzB0uWLAEA/PLLL8jLy0NVVRVcLpdXcabu64PFGiIKJvb/qLVycnIwd+5cabtr164YMmQI\nEhMTkZubi7Vr1+LEiRO44447sG3bNrz33nuKPo5asThIsmttwyBiA0FERERERKQO7P+1DqcV/49e\nr8ctt9yCRx99FIMHD/b6Xk5ODq677jrs3LkT77//PkaMGIGbbrpJ0cdRIxYHSVZtbRhE4dpAEMnJ\n5XLxJvPULHFEmMVigdlsRnx8fIPRRk0tPtIYg8EgLQiSmJiIPn36AAAmTJiAL7/8EkuXLkVOTo40\nbVnOkU0WiwVDhgzByJEjg7bKbTDo9XokJSUhNTUVR44cCfjvtPia6NChA6688sqQjaSLiIhAbGxs\nwI+t1+sRFxcHABg4cKA0ilAJ3G43iouL8d1332HevHk4dOgQgJYvIEREFEjs/1FbdezYEVlZWbjw\nwgsb/X56ejq+//579OzZE1VVVXj77bdbVbQL1nHUisVBko3L5ZKlYRCxgSBqHbHDKC4KIQiCqt6V\npNBoSRHQn30ZjUbExsYCqC26dO3aFcOHD8d//vMfbN68GQBQVlYmyzRjk8mEHj164He/+x3S09M1\nN51eXHl88+bN0kIAgSJOHR84cCAyMzNDstq5TqdDVFQUUlJSpP/LQOU2Go3o0aMHAKB///4hub9i\nfWIB2Gq14osvvsC//vUvZGdnS/cQZFGQiJRCrsKgiP2/8NSpUyd06tSp2cd07NgRo0aNwvLly7Fz\n585W9W+CdRy1YnGQZGEwGOBwOBAREQGg7Q2DiA0EUetVVFSgoqKCHUkKGfFiymg0IikpCePGjUPf\nvn3x5ZdfAgA+//xznDp1CjU1NS0eEafT6aRCTkZGBh588EGMHDlSaoe0Qrw/ZL9+/RAREYGampqA\nHismJgYAMHr06JCudh4VFYU+ffpI/5/iGx1yEu9TedVVVwEAOnfurIiFbMT/47Vr1+Lf//43Tp8+\nLRUGiYiUQu7CoCic+n+cVtwy4jWKy+WC3W4P2DVfsI6jNCwOkizqvtMuV8MgCqcGgkgOYge6srIS\n58+fZ3GQFEFcZCIjIwOzZ88GAFx++eVYsGAB1q1bh4KCAmnV4+amTOp0Ouj1ekRFRaFfv34AgAce\neABTp05FfHx8yC9cA8FkMqFv376Ii4tDWVkZgMCMHtPr9UhLSwMADBkyJGTTs8WC6ODBg9G+fXsA\ntX/P5FzMRhydOGTIEEyZMgUAgjKN2Re3243Tp08DAD766COcOnWKhUEiUpxAFQZF7P9RY7KysgAA\n7du3D2jBLljHURoWB0lWcjcMIjYQRP6rO604NzcXbrc7JFMDiRpjMBike7xdccUV6Nu3L7Zv347v\nv/8e27ZtAwDk5+ejurpaWolVLNgYDAZERUUhLS0No0ePxowZMwDUToGNiYlRxKivQDAYDOjSpQtS\nUlKQl5cHAAFZ9dlkMiEzMxMA0KVLl5BOzzYajRg4cCCGDh0KACgoKEBlZaUsRVGxuDxo0CDcd999\n6N27NwAoYkpxdXU1Vq9eDaC2cyLen5OISCnkvpVUU9j/U7a6r4HGJCYmynq8H374ASdOnAAATJs2\nTdZ9h+I4SsTeIsnGbDYH9I81GwiilrHb7Th16hRcLpemFmgg9ROLfSaTCSkpKZg4cSKGDRuGU6dO\nAQD27t2LgwcPIj8/H1VVVdIiER06dEDfvn1x8cUXo1evXkhISJD2E+oRX4Gk0+mQlJSE7t2747ff\nfgMgf3FQHNk5cOBAALX3OQzlz1Sv1yMlJQU333wzAODYsWPYt28fampqWlUgFO+DCdR2ZC+77DLc\nd999GD58uHQdEerXkMfjwfnz56XiYFlZGUd+E5GiiNMsxevKQBUGRVrv/6l5WnH37t2bfayc7Vdp\naSkeeughALU1hyeffFK2fYfiOEqlzbfYKeicTmdQRiZFR0dLnUGgtoGw2WwBPy4REREREVE4q3ub\ng0AXBkXs/4U3t9uNm266CdnZ2QCAV155BT179lTtcZSMIwdJFoGY3tQUrb+DRCQXl8uF06dPo6am\nBlFRUap6Z5LCh06ng9lsRnJyMpKSkgDUThO22+2w2+1wuVzSdGGz2YyIiAiYzWYYDIaweU2L98fr\n1auXNIpSvD+jnKKjo6WVe0M9xVa87+CwYcMA1N5X8v3338fhw4dRVVXV7H0p6+5Dr9fDZDIhNjZW\nusifPHkypk6dip49eyIqKkox09E9Hg+ys7Nx9OhRAIFboZmIqK2CVRgUsf+nPCdPnvQq2gbKAw88\ngFWrVgEAbr75Zjz66KOqPo6SsThIqsQGgsg3j8eDs2fPoqqqSiq6ECmVTqeT7nFnMBgQERHRaPEn\nXAqC9ZnNZvTo0UO6MbbNZpN1yo5Op0N0dDQ6dOgAACG936BIr9cjPj4eQO19f9q1a4dFixZhx44d\nOH/+vHQ/PvENSvE1JBY2xTz9+vXD8OHDpfsXduvWDbGxsTAajYp6PYmLkYjXNJxSTERKZLFYQtLn\n0mL/T83TihMSEmS/r2B9TzzxBD788EMAtW/szZ8/PyA/r2AdR+lYHCTV0mIDQSQnj8eDkpIS6Sb+\n4djIkbrxNfs/BoMBaWlpiIqKAgAUFxfLun9xBGdkZKS0rQRikTIxMRFjx45Fv379sG/fPvz222/S\nqr7l5eUQBAHR0dFo37490tPTAdTeD6lbt25ISUlBXFycNOpSqaNO3W43ioqKpFGhLA4SkdKEelQ5\n+3/h4+9//zteffVVAMDo0aPx1VdfBeT1F6zjqAGLg6RqbCCImlddXS3bCp9EFDo6nQ6JiYlei2cE\n4vdaqX8r9Ho9IiMj0a1bN3Tq1AlXXnmlNHJQnH5rMplgNpuli3qTyQS9Xg+9Xq/IYmB9giDA4XDA\n4/GE+lSIiBplNBq97jsYCuz/ad+bb76Jv/zlLwCAYcOG4YcffpDevFTjcdSCxUFSPTYQRI0TBAEu\nlysg9yYjouAS78EnTiuWu9glCAJqampQWVkpbSuNOG3YYDA0uQK7GoqATRHvLSmOlgxUAZiISO20\n0v9T87TiQJk7dy7++Mc/AgAGDx6M5cuXIyYmRrXHURNl3IGZqI0CtYoVbwZORERERESkLFzFWHsW\nLlyIBx54AEDt4nSrVq2S7j2sxuOoDUcOkmbI/Q4SC4OkduK7kWp6R5KImiZOkQ0EQRBQWVmJ/Px8\nALVtoJLvuaPFv2sGgwGpqanSlKaysrIQn5Hy1W3n6k8fFwQBgiB4rWzNkZhE2qKVEYQELF26FHfd\ndRcEQUBmZibWrFnT4gUV9+3bhw0bNgAAxo8fj969ewfkOFrF4iBpilwNhM1mg91uh9HIXxFSt8jI\nSGkBAyJSL0EQYLfbA3abAEEQYLPZcPDgQQCA3W5HRESEJotwSmUwGJCRkYHk5GQAQGFhobQSM/1P\n/RWpExMT0b59e697cgJATU0NysvLUVJSIl0PVlRUoKamBi6XC263m8VCIg1Qc4FQbW/iB+pcd+/e\njZtvvhlutxs6nQ7Tp0/HF1980exzbr31Vq+RowCwYcMGPPTQQwBqRwfWLw7KdRytYuWDNKetDYTN\nZpOeQ6Rmer0e7du3R1xcnKouPIioIY/Hg+Li4oDeE9ButyMrKwsAcP78ef7tCDKDwYD09HQMGDAA\nAHDs2DEWB+swGAyIjIxE586dcemllwIAhg8fjszMTKSkpCA6Olp6U1en08HtdsNut6O8vBznzp0D\nABw/fhz79u3DwYMHkZ2djdLSUgC1i3e5XC5ptCERqYuaC4QEnDhxQnrzUxAEvPTSSz6fc9VVV7W4\naBes46gVi4OkSa1tIOoXBpU8pYrIF7PZjMzMTCQkJLCDT6RyDocDR48eRUVFBYDAFAfdbjeOHDkC\nANi7dy/S09ObXPiD5CeuSD1u3DgAwLp161BQUBDWxSqx7TKbzUhPT8fkyZMxffp0ZGZmAgDi4uKk\nVambaufEqWMAMGLECNTU1KC0tBTZ2dnYvXs3AGDbtm04ePAg8vPzUVlZKa3GWndKMhEpW2v7f+zv\nhV7Pnj0xe/bsFj0nMTGxwdcGDhwo7adPnz4BO45WsThImtXSBqJ+YdBisXBaMamSeE+yxMREDB8+\nHFFRUSwOEqmYx+NBaWkptm3bJt1sPRAFC3F0IgD89NNPuOKKK9ChQwf+/Qgis9mMyy+/HABwwQUX\noKSkJGxXnNfr9dI126WXXoo//OEPGD58OBITE71GCPoi3o8QAIxGIyIiIhAXF4f09HQMHToUADBr\n1iycPXsWv/32GzZv3oxdu3YBAHJyclBeXg6n0wmPxxOImEQko5b2/6qrq0P6JhinFde66KKL8O67\n77Z5PyNHjsTIkSMDfhyt4mrFpGn+rmJVvzCYkJDAwiAREREREZGKtKT/V15eHsQzI1I2Vj9I83y9\ng9RYYTA6Olq6rxOR2pjNZgDAoEGDMGTIEGmbqKWaGp2mpne51U5ciGT37t3YsWNHwEeR2e12AMDG\njRuxd+9ejBo1in9DgshgMKBz584AgGuuuQZ79uzB+fPnw25qq06nQ2xsLCZNmgQAmDNnDvr164fI\nyEhZ/v6IK3+LbwRHRESgXbt2yMzMxLRp05CXlwcA2LVrF9asWYPt27cjPz8f1dXVAMB7QRIpXEv7\nf0TE4iCFiaYaiPqfi4VBIrUyGAzo1KkTgNppUmlpadJ0KqKmiDfhd7vdcLvd0v226q7oqdPpYDAY\nANROzTMajTAYDFInG1Df9Bg1cDqdOHXqFBYtWoTc3NyAT20Uix65ublYsmQJBg4cyKnFQRYREQEA\nGDNmDJYuXYpNmzaF1dRinU6H6OhoTJw4EU899RSA2ntHmUymgL0Oxb9vBoMBZrMZ8fHxAIBevXph\n0qRJOHToEJYtW4YVK1YAAE6fPo3q6mpONSZSMH/7f+KbYqGgtusmNZ0rtRyLgz4UFBRg+/bt0juG\nQO3NjO+44w7Zj3Xw4EH8+OOPyM3NhcViQa9evTB9+nQkJycHdR9a1VwDAbAwSOpnMBiQnJyMWbNm\nAajtWIqdTKL6BEGAy+UCAFRVVaG4uBg5OTk4ceIEzpw5AwAoKipCZWUlXC4XjEYjoqKiANT+vWzf\nvj06duyIjh07on379gBq73MZHR0t3bOVRcPWEQRBKgZlZ2fj448/xtq1a1FVVRW0EWQ1NTVYs2YN\npk2bhvHjx3NhkiASf286d+6MyZMn47fffkNJSUnYjB40m80YPHgwHnvsMfTu3Vv6WrDUfSPEYDDA\nYrEgKSkJAwcOxLRp0wAACxcuxIoVK1BYWCi9mUJEyuOr/xcXF4ezZ88G+ayIlInFwSY8+eSTWLRo\nEbKzsxv9vpzFwdLSUtx///1YsmRJg+89+OCDeOGFF/D4448HfB/hoH4DIWJhkNTOaDRKhcG7774b\nANCuXTuOGqQGBEGA0+lEWVkZDh8+DADYsGEDfv31V5w4cQKlpaWoqakBUDtysO7IGLHAJ07HM5vN\nXvf26dixI7p3744+ffqgd+/e6Nq1KwAgOTkZ0dHRMJvNMBgMqioUigUZcXSluHpp3Z+LOLKybhFU\nXD1V3K6bubH84v5dLhcqKytx8OBBAMCCBQuwbNkyFBcXB3WUksfjQX5+PhYsWICBAwciPT0dAPg3\nJQjE10dkZCRGjBiBzz//HGVlZVIxX8v0ej1SU1Nxzz33YMCAAYqY0q7T6WAymZCYmIhhw4YBqF3x\n8pJLLsG///1vHDlyRCrmh0sBl0hNmuv/caViov9hcbAJGzduRHZ2Njp06IAhQ4bg4osvxgsvvCD7\ncWpqajBlyhRs2bIFAHDttddi1KhRsNlsWLx4Mfbv348nnngCFRUVTR5fjn0QkfqIHUiLxYKuXbvi\njjvuwK233oqOHTsCgDTygUjkdrtRUVGB/fv3Y+nSpfj5558BAGfOnEFVVRVcLpdUpPKHTqeTRhwC\nwIEDB2A0GmGxWBATE4OUlBQAtVMCL7nkElxyySXo0aMHEhMTAdS+dsUimpKIU6wdDgeqqqoA1HYq\niouLUVRUhNLSUlRUVAConY4kCAKMRiMiIyMRExMDoHY0Qnx8PGJjYxETE4PIyEgAtSOgxFGVOp1O\nKvg5HA6UlZXh1KlT2LhxI1atWgUAOHz4MCorK0NyjzO73Y5NmzZhxYoV0ojk6Ohoxf1/aZXBYEB6\nejoGDhyIw4cPh0Vx0GKxYMSIERg9erRs9xeUi06nk4qVHTt2xM0334yOHTvilVdewZ49ewBAemOF\niMgfaptZoaZzpZZjcbAJr7zyCjp37oxu3boBqG3sA1FY+8c//iEV9ebOnYv77rtP+t7jjz+OmTNn\n4ptvvsGLL76Ia6+9FoMHDw7IPsJFUzef9bXMPREREREREalLc/0/8Q09ImJxsEnDhw8P+DFsNhte\nf/11AMD48eO9inoAYDKZMG/ePKxevRqVlZV4/vnn8d1338m+j3DR2KrEQNOrWAXC0vNLm/3+dcnX\nBezYpB3ilM6kpCQAwLBhw3DXXXfhiiuuQHx8PEcMkpe696/Lzc3FN998g8WLF+PYsWOw2WwAIE2V\nbc2+6370eDxwuVyoqalBeXk5zp07BwDYv38/fvrpJ7Rv3x4XXHABxo0bB6D2Hr5dunRBdHR0yF+3\n4sg8h8OBkpISHD9+HLt27cLu3bsBACdOnEBRURFsNhscDoc0ikscaanT6bxWPzWZTLBYLIiOjkZs\nbKzU5iQkJCA+Ph5RUVEwGAzSjdBLSkqQl5eH3NxcnD9/Xvq/EUdzhoIgCCguLsann34qvbF44YUX\nchpWkOh0OsTExKBfv36IiIiQVsrV4tRVcbp6UlISpk6diuTkZEVPYdfr9YiLi8PYsWOh1+vx7LPP\nAqgdPc17EFJQHf9P89/veV/z39c4X/2/8vJytmlE/x+LgyG0fPlyaVrS/fff3+hjkpKScMMNN+DT\nTz/FihUrUF5ejri4OFn3EQ4aaxjqFgGDWSAkaon69zCzWCxITk7GoEGDcO211wIARo0ahdTUVFgs\nFg73Jy8ejwdVVVVSgeuDDz7Azz//jJKSkoAXncSpuQCkKboVFRU4c+YMfvnlFwC1042nTZuGKVOm\nICMjQ1rwJJhFAbfbjerqamlq9MaNG7FixQrs3bsX58+f97r/Yt0p10397Or/DjZ1L8L6GT0eD9xu\nt1SoVUoByOVy4cCBA5g3bx4A4C9/+Qs6duyo6MKNlhiNRqSkpGh+QRjx9ZSRkYGBAweqorMurqo8\natQozJ49GwDw/PPPIy8vj6sYEymAv/2/UP595bRiUhIWB0No/fr1AGp/yUaPHt3k48aMGYNPP/0U\nDocDv/76KyZOnCjrPrTOV8PgaxUrokCrv2BB3RFIERER0v3ZunfvjqFDh2LEiBHo378/2rVrB+B/\n920jqsvtdsNqtWLVqlX417/+BQDYu3cvqqurQ9Zx9Xg80sg8ANi+fTsOHTqEn376CTfffDMmTZoE\noPZ+XmazOaAXoR6PBzU1NThz5gyWL1+Ob775BgBw6NAhlJeXN1iMxV/1i3pKKfK1liAIsNls+OGH\nHwAA/fv3x2233Yb4+Hh2EoJAvM+d1n/W4ojbXr16KX7UYF3i6M7JkycDAHbu3InPPvsMlZWVIT4z\novDmb/9PvB4hIhYHQ+rAgQMAgNTUVGl6YGMyMzOlzw8ePOhV2JNjH1rmq2EQsUBIgSa+M2gwGKTp\nk0ajESaTCWazGREREdJ9TxITE5GamoqMjAz06dMHffr0AQCkp6cjKSkJERERMBqNmu8sUuu5XC6c\nO3cOixYtwrx583D69GkAgNPpVESxSjwHl8sFq9WKrVu34ujRo1i3bh0A4O6778all16KuLg4qWgg\n13HFKdYFBQVYs2YNPvvsM/z2228oLy+XzkkJPyMl8Xg8KCwsBFA7+jQlJQWTJk1CTEwM/w4FmCAI\nqKys1PxUVfH3PD09HREREap6Xen1erRv3x4AcMstt2DTpk04fPhwSBYRIqKW9f9cLpfU/hOFOxYH\nQ+jMmTMAgM6dOzf7uLrfF58j5z58KS0tbfJ7Si6i+dswiOoXCO12u7S6JFFL1Z02aLFYEBsbi5SU\nFKSnp6NLly4Aan8vO3bsiOTkZCQmJiI+Ph4AEBsbi+joaEREREgrmwJQ5KqupBx1C18nT57E3Llz\nsWTJEhQWFip6lVNBEOB0OlFYWIhly5YBAPbt24cbbrgBM2bMQPfu3aW/xa0dTSQIglSI3LZtGwBg\nwYIF2LhxI4qLi1kQ9IP4Gjp+/DheffVVGI1GjB07FrGxsQCCOxU8XIi/09nZ2aipqdH0a1R800yt\n980V2+l+/frhyiuvxKlTp6SVzokoeFra/4uMjJTu/RsKnFZMSsLiYAiJ9wr0dX+7uqsoic+Rcx++\nNDciUala2jCI6hcItf5OPRERERERkdq1tv/H/h5RLRYHQ0h8l8LXTZfNZnOD58i5D61pbcMgEh9b\nUFAg96lRmDAYDIiOjka3bt0AAFdccQVGjBiBzMxMdOjQQVp0wWw2S9OM675zWP8jkS/1Fx555513\n8PPPP6OsrEw1N8YXBEFajfXYsWN49913sWnTJtxyyy0YO3YsAEgL7/gzilbMLU4Z2r9/P7788kus\nXLkSAHD27FnY7XZNj8YKBIfDgf379+Nvf/sbiouLMXXqVABAcnIyb3cgM0EQUFZWhn379mn+2k2k\n1t9H8XUfFxeHcePG4dtvv0V1dbVq8xCpTVv7f0TE4mBIRUVFoby83OcFn7hSovgcuffhS3M3arVa\nrejevXuL9hdIcjUM0dHRml8ZkOSn0+lgsVjQtWtXXH311Zg+fTqA2husx8bGwmg0cmowyc7lcqGk\npASrVq3C+++/D6B24ZGqqirVdkzdbjfKysrw66+/4vDhw/juu+8AANOmTcOwYcOQlpaGqKgoryn3\nwP9WSLbb7SguLgYA7N+/H8uXL8e6deuQm5srFSDVUjRVIrvdjkOHDuHFF1/E/v37AdTea61v376I\njo6W3vCgtnG73Th27BgOHjyo6FsDyEG8P5/ValX1vfqMRiMyMzPRrVs3nDt3TvP/b0RKoObCIKcV\nk5KwOBhCcXFxOHfunM+boJaVlXk9R+59+CKulKp0cjcM4mIRRL6IDWVMTAyGDRuG2bNn4/LLL5fu\nIcjRNCQ3sbBVXV2NEydOYOHChfj666+Rl5cHQDkLj7SFeL+1goICrF69GkDt6sbdunXDhRdeiAED\nBkj374yLi4NOp0NVVRXy8/Nx+PBh7NmzB0DtKMTi4mLY7XZVFx2Uxul0Ijc3F59++ikA4Ndff8XU\nqVMxfvx49OzZU7oXoclk4psiLST+7lZWVmLlypU4d+6c5ovZ4rS+3Nxc2O121S52o9Pp0K5dO2Rm\nZmLnzp0sDhIFmJoLg0RKw+JgCPXo0QNHjx71uUBITk6O13Pk3ocWBKphkHOVTNImnU4nFdynTp2K\nOXPmoG/fvqpbbZHUwePxSAUzAFi7di0WLFiA3bt3o7KyUpPFr7oLrZw/fx4lJSXYt28fIiIiEBER\nAQDSSG+n04mamhrU1NRIz3G73aovlCqV2+2W7mO8Z88eHDt2DEuWLMGQIUMwatQoAMCFF16ITp06\nITY2FiaTSVpsgn8fmyYWlA4dOoSVK1eGxcIW4t+u48ePw2q1IikpSZWvEZ1Oh8jISPTp0wdms9lr\n5g4RyYuFQSJ5sfIRQgMGDMDy5ctRUlKCM2fOSCMg6hPvISU+R+59qB0bBgoVnU6HmJgYTJs2DQDw\n1FNPoUePHl73+CRqC7GoJRYFCwsLsXXrVnz55ZcAgC1btqC4uFgTIwX9IU4bdrvdqKmpabJ4EA4/\nC6UQf9bivR0PHz6MEydOSCtPp6WloX///hg6dCgGDx6MjIwMALVttcVi4RTkegRBkK5pvvjiC5w8\neVKTRf/6xJGRZ86cwYkTJ9C1a1fVroBtNBrRpUsXWCwW6bXNv0lE8tJK/4/TiklJ1NnqasTEiROl\nz8UbpDdG/F5CQgIuu+wy2fehZlppGIiIiIiIiJRMCVPl2f8jCgyOHAyhUaNGIT09HTk5OfjXv/6F\nu+66q8E01iNHjuCnn34CAMyYMaPBPfDk2IdasWGgUIuIiMDIkSPx+OOPAwB69uypmd8vCi2PxwO3\n2w2bzQag9j5cmzZtwo8//oisrCxpsQ2n06n5e5E1h6NxlKXuyE5xobTS0lIcOXIEy5cvR/v27dGv\nXz8Atdcvl19+Obp37464uDjpb6daR4vJxeFwYMuWLQCAH3/8MSymFAP/GzlYUlKCTZs2YdiwYapt\nT3U6Hdq3b4/IyMhQnwqR7JxOZ0gLhOz/EQUOi4MB9Je//AX5+fmIiorCO++80+D7BoMBL7zwAu68\n807s27cPs2fPxnvvvScV9/Lz8zFjxgy43W5ERkbimWeeCcg+1IgNA4Wa0WhE3759MWfOHPTu3RsA\nVNuRodATi1zidNni4mIcOHAAP//8MwDgl19+walTp1BRURE2U4hJ3eq+pt1uNxwOB8rLy5GdnQ0A\n2LBhAzp16oShQ4di4sSJGDx4MAAgJSUFERERYbmIicfjQV5enrTIS15eXtgV/2tqarB+/Xrceuut\niImJUWWxWK/XIy4uDpGRkZxWTJpkt9ths9mC3vdi/48osFgcbMKmTZukizMAXvd72bRpE+655x5p\nOyIiAu+++26DfSxZsgRHjhxBfHx8o8VBALjjjjuwYcMGfPLJJ/jPf/6Dn376CcOHD4fNZsOaNWtQ\nXV0NnU6HBQsWID09PWD7aCvxBuPBwIaBQk2v1yM5ORn33XcfLrnkEt5jkFpFHGXlcDhQWloKoHZl\n3U2bNuGXX37B4cOHpRGCdrsdHo+HHUxSLUEQvBaXcTqdqKiowMmTJ7FixQpccMEFAGpvlzJq1Ch0\n69YNMTEx0pudWi8UCoIAm82GZcuWYfPmzQAgjb4MJ263G0eOHMHGjRvRpUsX1Y6+i4qKUu25E/lD\n7IsFqw+m5f6f1ts3Ug8WB5tw+PBhfPTRR41+78iRIzhy5Ii0HR0d3Whx0F/z5s1D//798dJLLyE3\nNxeLFy+WvtevXz+8++67uPLKKwO+j7YwmUxBGWKu5YaB1MNisWDcuHGYOnUqoqOj2aiTXzwejzQK\nyG63w2q14sSJE9i6dSt++eUXALWrkxYVFaGmpgYul4vFQNIssTheXV2NmpoaFBUVAQB27NiB//73\nvxg9ejTGjx+P/v37AwCSkpJgNps1O6LQ5XLh4MGD+O9//4uSkhIA4TnaTBAElJWVYenSpbjqqquk\nhfbUNIJQp9PBYrEgKipKk69VCm91Z8kEq0DI/h9RcLA42IQRI0bgww8/9OuxTU0l/Pvf/w6r1QqL\nxdLs8/V6PebMmYOHH34YW7duRU5ODiwWC3r37i29k+6LHPtoK4fDEdAh5mwYKNTEEbJdu3bFnXfe\niQ4dOqiqw0LBU3eVYbEAUlJSghMnTgAAtm3bhl9//RWHDx/G+fPnUV1dDaB21Ey4TSMkEgQBTqcT\nQO09CsvKynDkyBF88803uOiiiwAAV111FYYNG4b09HTExsbCaDRq5u+vx+NBcXExFi5ciMOHD4fF\n6sTNcTqdyMrKwvr16zFz5kwAUN0oPLPZzDcPSZOMRqNX3zbQBUL2/4iCh8XBJvTp0wd9+vRp0z5u\nuOGGFj3eZDJhxIgRbTqmHPtoi0A1EGwYiIiIiIiIQstoNCImJkbqm7H/13o6nU5VbyKo6Vyp5Vgc\nJFmI7/gD8jcQ4dAwkDqIIxcmT56Miy66iAuQkJe69xCsqKgAULso1KFDh7Bjxw5kZWXh1KlTAGpH\nR9XU1HCkIFE94u9RZWUlqqqqkJeXB6B2AZMuXbrgsssuw9ixY3HRRRchJSUFQO29nw0Gg2o7LTU1\nNVi3bh2WLVsGm80WltOJ6xIEAaWlpVi8eLH0hndGRoaqRoqaTCbExsaq9jVJ5IvYFwtUgZD9P6Lg\nY3GQZOF2u70WZZCrgWDDQEqh1+vRuXNnAMC1117Li36SihgApBWGjx8/jp07d2LHjh0Aau9RW1BQ\ngMrKSjidTunx4d75J/KHx+ORFuVwOBywWq04fPgwvvvuO/Tt2xdjx44FAIwZMwa9evVCXFwcjEaj\nav42i/dqPnbsGObNm4f8/Hy+WfD/OZ1O7Nq1CytXrgRQu/ieWq7/dDodTCYTkpKSVFXQJGqpQBUI\n2f8jCg0WB0k2RqMRcXFxsjUQbBhIScxmM4YNGwYA6Nu3r7SCJoUfj8cDp9OJ0tJSHD58GEDtqKZN\nmzbh2LFjKCkpkQoa4qIiLAYStU1jC5js2rULALBo0SKMGjUK11xzDS688EIkJCQAqB29pdRCocfj\nkRZh+fTTT7Fr1y6vWRjhTlyY5PPPPwcAjBo1Cn379pXu/at0JpMJqamp0rVCOK48TeFB7gJhuPX/\nOK2YlIS9W5KVXA1EuDUMpGw6nQ5xcXEYM2YMACAuLo6NY5gRi3tOpxNFRUXYsmULvv32W2zbtg0A\nUFBQgOrqarjdbhYCiQJMXMCkvLwcQO0q3ydPnsTKlStx5ZVXYsaMGQCAiy66CAkJCYqbciwIAior\nK/Hjjz8CAJYuXYrKysqQ/O3Q6XTSCtDiKDdBEODxeKSPoeJyubB//34AwNdff41HHnlENe2vyWRC\nRkYGIiIiAABVVVVsG0iz2P8j0gYWB0l2bW0g2DCQ0uj1enTs2FFa+ZujBsOL2+2WihA7duzA/Pnz\nsXHjRhQVFcHhcAAApwIShYBYbHG73aiqqsLJkydx9uxZbNiwAUDt/WFnzpyJfv36ITo6WhGjzgRB\nQE1NDbZu3YoPPvgAQO29SYO5QrFYBDSbzYiNjUX79u2RnJyMqKgoALVvgpSUlKCwsBBWqxU1NTUA\nEPRVlMUiKgB89dVXuOqqqzBkyBBV3O/XYDCgZ8+eSExMBFB7n1kWB0nL2P8jUj/2cCkgWttAsGEg\nIiIiIiJSF/b/Wo7TiklJWBykgGlpAxHODQMpm8FgQI8ePdChQwcA4A3Gw4jD4UBubi4WLVoEAPjs\ns89w+vRp2O12jhYkUhiPx4OqqiqcOHECADBv3jz88ssvmDFjBq655hp06dIFQO3qxqH6O+5wOLB/\n/368+eabOHjwIID/LUwSaDqdDhaLBampqQCAoUOHYsyYMejfvz+Sk5OlheVcLhesViuOHDmCdevW\nYePGjQCA3Nxc1NTUBHUEnDha8eTJk1i4cCF69uyJ9u3bK76Dqtfr0bVrV2RmZgIAcnJyeN9BCgvs\n/xGpF4uDFFD+NhBsGEjJjEYjMjIypNek0jsl1HaCIMBut2P//v146623pBUzS0tLgz61johaRvwd\ntdls2Lt3L7Kzs7F27VrcdtttAIDRo0ejQ4cOQV+wxOFw4MiRI3j99dexefNmabpuMIptBoMB8fHx\nuOKKK3D77bcDqC0OtmvXDmazuUGx1OPxYMCAARg9ejR+/fVXAMBHH32ErVu3orKyMuhvjlRXV2P5\n8uUYP348Jk+eDIvFEtTjt5Rer0e7du0wfvx4AMD27dtRVFTEN5UoLLD/R6ROLA5SwPlqINgwkNIZ\njUakpKTwXoNhQOykV1dXY9u2bXjppZewdetW2Gw2r+8T1S0q8XWhTIIgwOVyoaSkBOvXr5dG6l15\n5ZW49dZbcfHFFyM+Pl762x6IQqH4RgMAHD58GK+99hpWrlwJm80WtNeNyWRCp06dcOutt+LWW2+V\nRlBaLJYmR1Dq9XoYjUakpaVhypQpAIBu3brhjTfewIoVK1BeXh7U173H48G5c+fw8ccf48ILL0S3\nbt2k81SqyMhIjB07FgCwevVq/Pzzz1yYhMIG+3/+4bRiUhL2dCkommog6n8erg0DKZter0dMTIyi\nOyHUdoIgoLq6GgCwadMm/O1vf8Pu3buDPo2OlEmv10sFE5PJJC1uodPp4Ha74XQ64XQ6pVFrfM0o\nhyAIcDgcOHv2LIDalW937NiByZMn44YbbkDfvn0BALGxsbKubCxOc96zZw8A4M0338TPP/+MioqK\noIwgE6cJ9+rVC4899hiuvvpqJCUltWhhFr1eLy1UcuGFF+Lxxx9HdXU11qxZI/29DNZr3eFwYOvW\nrfj+++9xzz33AKi9vlRqZ1WcWgwA9957LwoKCrB37162KRQ22P8jUhcWBylommsgADYMRBQ64gqi\nW7ZsAQD89a9/xe7du2G329mJC1M6nQ5GoxGRkZEAgHbt2qFr167o2bMnunTpgoSEBOlxZWVlOH36\nNA4dOoSTJ08CqJ2C7nA4OI1QQcT/i6qqKhw7dgzz5s3DunXrMHXqVADAlClT0KtXL6lI2No3hARB\ngNPpRHFxMdatW4e5c+cCALKysoI2YtBsNqN///4AgKeffhrjxo1r9ZtcYvHNbDajX79+ePjhh5Gb\nm4t9+/YBqF3dOBgEQYDVasV///tfXH755QCAiy++WLGj+nU6HSIiIgAAw4cPxx//+Ee899572Lt3\nr7QKs9vtZhtDmsb+H5F6KLM1Jc2q30CI2DAQERERERFpC/t/TeO0YlISFgeJiHzweDwhuQE7Bc//\nY+++46QqrwaO/+702d4by8LCAkvvVQRpogJWLDFiVIyaosaob2LypudNYoktMbHFrjF2ERQ7AqJU\nAemwsLCF7X12p8/7x+Red5G+0/d8Px8+rruzc+/O3LnPfc49zzlOp5OvvvqKP/7xjwCSNRihjncR\nrb5Xp/ueqc+r0+kwm82kpqYyaNAgzjzzTACmTJlC//79SUlJwWw2d1ma6fF46OjooKamhnXr1gHw\nxhtvsHbtWhobG0PWjVacPI/HQ2trK19//bWW7bls2TLmzJnD2WefTXFxsZYdqjbsONrxpx5vXq9X\ne59bW1vZtWsXr7/+OkuXLqWsrAzwn2dCmTX4m9/8BoBZs2YFZPmt2u143LhxLFq0iD//+c8A1NbW\nhuxc6Xa72bVrF8888wwAffr0ISsrK2InrGqmZlJSEueccw45OTm88sorWgfoyspK2tvbcbvd+Hy+\nb72O6t/V+fzW+XGRNEZF6nsghBDi5EhwUITUkcVnVSdqcy9EOLndbqqqqmSCH6NcLhd79uzhz3/+\nsxbYkcBg+CmKgl6vx2AwaJ1JrVYrFotFC9aoAXun04nD4cDhcOB0OnG5XNrPvF7vUSfSaqBHp9Nh\nNBpJSEgAID8/n/HjxzNr1ixGjx5NVlaWtm21Ht3RJsHx8fGkpaVRWFgIwOTJk3n55Zd5/vnnKSsr\nC9nSS3Hy1IYlLS0tAGzdupV9+/bx9ttvM2bMGC0wPGLECPLy8khMTPxWZ1+Px4PdbqexsZG9e/cC\nsGLFCj799FNKSkpoa2sLaYdzo9HIwIED+eUvf6k1wwhkXT5FUUhISGDevHl89NFHAHz00Uda05VQ\n6OjoYOnSpQCcccYZXHTRRVpdxEil0+lITExk4sSJDBgwQDtWtmzZwu7du6murv7WsaIubVdrZoJ/\nSXxLSwvNzc20trZqHa/dbneXc12oqOdQ9VwttZnF0cj8T4joIMFBETJH60oFJ25zL0S4ud1uDh48\nSHt7O+AvWi93yGODx+OhvLyc+++/n88++yzkBfZFV+rE0mw2k5ycTJ8+fRg6dCiDBw8G/FlCaWlp\nxMXFodfrtYB9R0cHTU1N1NTUUF5eTllZGVVVVQDU19fT1taGw+HA4/Fon101IJidnc3AgQMZO3Ys\n4G+6UFBQQGJiIkaj8aQnu2owUw1SFBUV8YMf/ICMjAwefPBBDh48CCA3GSKQ+nl3u920trayd+9e\nSktL+fDDDwHIzs6mT58+9OnTh5ycHO06xefz0dLSQmVlJfv376e0tBSAuro62tvbQ15PTq/XU1BQ\nwB133MHZZ5+t7Wegxyu9Xk+vXr1YuHAh4K+lWFVVFbK/1ev1Ul1dDcBjjz3G4MGDGT58OEajMSTb\nP11q5mV2djYZGRkAjB07VrupceTxot6I8Pl8WtDQ4XDQ0tLC4cOH2bVrF5s2bQJg27ZtVFRU0NbW\npgUKg0k9L5pMJlJSUujVqxe5ubkRH6QVoSfzv+OTZcUikkhwUITEidrVywAhIpnH46G0tJSGhgaA\niF7CJE6e1+ulvr6eJ598knfeeSdkjQLEt+l0OiwWC7169QL82UBnn302I0eOJCsrS5twqpkpR1va\n6fV6ta7BDocDm80G+Jd4trS00NbWhtPp1Ca1VquV5ORk0tLSSE5O1rahBgS7+xk3GAxkZGRw2WWX\n0dLSwsMPPwz4l2BKiYLIpQZiPB6Plg3X0NDAnj17MBgMGAyGby0pd7lcuN3uLp2qQ3kuUY/pjIwM\nbrjhBhYsWEBCQkJQxymLxcLUqVMBGDZsGHV1dSHNjlW3tXnzZh599FF+9atfkZeXd0qdmMNF7XwO\n/vPNqQTU1GNrxIgRzJgxQ2tscujQIdasWcMHH3zAli1bqK+vBwhKUyS9Xk9SUhLgf+9nz57N+PHj\nyc3N1bK8hQCZ/wkRbSQ4KILuRAPDsbpYyQAhIoWapXDgwAEABgwYIEtnopg6aW9ra+P111/nueee\no6mpSQI2YaAoCkajkezsbM4++2wuv/xywL+MMyUlBaPReMp31a1WKz6fj/T0dODbNbo6b/vIf4Gm\n1+tJT0/n8ssvZ+vWrQAsWbJEy1AVkU09ZtRgobq0s/OxEu4bCoqiaMGl+fPn853vfIeUlJSg38DS\n6XTk5OQAMHfuXDZs2EBTU1PIXg91OzabjSVLllBYWMj111+vfe6jaYw+lfdKfaxer+8SWMzIyGDI\nkCGcf/75rFu3jrfeeguANWvWUFNTE5AgoXq+zsnJ4bzzzgPg8ssvZ/DgwVqmtdw4FSqZ/wkRfSQ4\nKILqRAODSgYIIYQQQgghhIhuMv87ebKsWEQSCQ6KoDnZgUElA4SIVD6fj+bmZi3z56yzzor42kbi\n6Hw+n1bAfcWKFfz973+nqqoqpA0DxDcXl1arlZEjR3LTTTcxZ84cLeunuxkokXSxrdZnu+KKKwBY\nt24dBw8elEzVKBbubMHODAaDVpPz+uuvJycnJ2RZcxaLBYBp06bx7LPP0tLSEvJzqdfrpa6ujiee\neILExEQt+zgtLS0qlhh3V+dMwvj4ePr06UNubq625HvdunW8+uqrfP7551oGIXDK5x+19MOAAQP4\n3ve+xwUXXABAXl4eJpMpos65Irxk/idE9JLgoAiKUx0YVDJAiEjlcDjYvHkz4F+OGhcXJxfCUcjp\ndGrv43333UdJSYk0iAgxtdspwIwZM7jzzjsZPXo0Vqs1qpYCngqTycSYMWMAGDVqFJWVlSHt7ipi\nk6IoJCUlcemllwIwZMgQDIbQXdqrwbfCwkImTJjAvn37wrJkXm0s9eCDD2qNwy6//HJyc3N73FJX\nNYiXm5sLwHnnncfEiRNZt24dr7/+OmvWrAGgurpaa9J0tGC3GuxTj6fU1FQmTZrEddddxxlnnEFy\ncjKA1sFdCJD5nxDRToKDIuBOd2BQyQAhIpHH42Hfvn2Av6FAZmamXBBHGZfLxZ49e7jnnnsA2Lhx\no5ZFIUJDrY82Y8YMAH79618zbNgwLfMkVul0Oi0rcsqUKXz66ac4nc6IykAT0Uev11NUVMScOXMA\nQn7TSt1WYmIiM2fOZNmyZdjt9rAc1y6Xi4MHD/LQQw8BsG/fPhYtWsSQIUNITEzUglw9JcOtc+f3\nnJwczj33XCZOnMiWLVsAWL58OV988QVlZWVah2PwZ8WqtQWTk5MpKioC4Nxzz+W8886jsLAQi8US\nszdyxOmT+d/pibZzUjTtqzh1EhwUAdXdgUHVUwcIEbm8Xi81NTWAvyvgoEGD5OI4irhcLkpKSrj3\n3nv55JNPAOjo6JDgTIgZjUaGDRvGT3/6UwCGDh0a84FBlclkAtCCFc3NzWHeIxHtzGYzEyZMoHfv\n3gBhW0ZrNBoZM2YM/fr1o66uLmzZ2G63m6qqKgBefvllNm7cyNlnn83MmTMZMGAA4L8uNZvN3+p8\nfuR/Y4lOp9OChOpNigkTJlBRUcGOHTvYuXMnlZWVALS3t2M2m8nNzWXIkCEMHz4cgN69e5OQkCCZ\nguKoZP4nRGyQ4KAIGLfbHZCBQSUDhIg0NpsNgNLSUtxut9QdjGCdg35Op5O9e/dy33338c4779DW\n1vatx4jgU7Pnvve97zF69GjAH9zoKRNN9WZCdnY2SUlJKIoix6A4bWoW7ogRI7SOteH6LCmKQm5u\nLmeccQZbtmwJa6kGtZZeW1sbW7duZd++fbz++uv0798fgMGDB1NUVER+fj4ZGRna8tjExETi4+Ox\nWCyYTCYt0BpLNwEVRdFuUqSmppKcnMzAgQM599xztSx6t9uNTqfDZDJhNpu16xwJCopjCVRgUCXz\nPyHCR4KDIiD0ej1Op1MrTt3dgUElA4QQQgghhBBCRJZABwZVPWn+J8uKRSSR4KAIiM4ZVIEaGFQ9\naYAQkcvn82l31isqKqSJRQTzer1aUXqAzZs388ADD/Dxxx/T2toqXWLDxGAwMHr0aGbPnq2dv3vS\nRab6t5rN5h6VMSmCQ80czMnJCXtX3s61RF955RWtKUk4z7U+nw+3201rayttbW2UlpYCsHLlSsxm\nMxaLhfj4eBITEwHIyMigoKCAwYMHM3LkSAYOHKh9PxZr7CmKgl6vR6/XYzabj9mURIhjCVZgUCXz\nPyFCT4KDIqACPTCoZIAQkUCd6DQ1NeF2u7XC3eLkqJMPn8/XZSLS+a5pd15Pr9eL0+mkpqaGDz/8\nUPv+v/71L7Zu3Up7e7ss4wwTRVGIj49nxowZ5OTkxNxE+2Sox57b7ZYAtQgIvV4fMTU79Xo9Q4cO\nZejQoVr9ukg4ztXxRt0Xl8ulBS+PHHsMBgMWi4X09HRGjBgBwPnnn89ZZ51Fbm5uxLzWwRCrf5cI\njkCXkjoWmf8JEVoSHBQBYzKZgnqylgFChJs6uZcuoydHnZCpGZft7e20trZis9lwOBza40wmE1ar\nlbi4OK3eE/gzzdQ6R0ebuHi9XjweD3a7HYC6ujo2bdrEm2++yapVq7TH1dTU4HK55D0LI0VRSElJ\nYcSIEVgslh45EVWDEw0NDbS1tcnxKLrN6XTS1tYWEUE4tabozJkzWbNmDQDNzc0ReZx3vlHVmdvt\nxuFw0NLSQkVFBQDr169nxowZfP/732fMmDFhr+8oRLipnxOz2QwELzCoivX5nywrFpFEgoMiIFwu\nFwZD8A+nWB8gRHQwGAxRN5iHmtvtxmazUVpayvr16wHYsGEDJSUl1NfXY7fbtYmZ0WgkPj6etLQ0\ncnNztc6bvXv3Jicnh7S0NOLi4rTyBeoS7+bmZsrLy9m2bZv2/Lt27aK+vr5L8DESJs49nRoczM7O\n7pFZg4AWJN+1a1fEBk1E9PD5fLS3t3PgwAHt2FIn6+FisViYOnUqeXl5ALS0tETdca5mGqo3nSor\nK3nzzTcpLS3lzjvvZMaMGYD/ulOuAURP5HK5tK+DHRhUyfxPiNCQ4KAICI/HE7JtyQAhwkUNaiQn\nJ4ckGB5t1Emg3W6npKSEt956i2XLllFSUgL4u0eqGXxHThjVYKter9deW5PJhMViwWq1dskoBH+g\npb29HZvNptUXdDqdeDweCQZGKLPZHNPL8o7H4/FQW1sLwKpVqyRzUHSbGhxcv349l112GeC/Dgpn\n8F2n01FYWKh1Iy8pKelyoyYaeb1ebDYb69ev5//+7/+0m1TTp0/vsVnQQkDoAoMqmf8JEXwyuxVR\nSQYIIYQQQgghhAgts9kcljlXLM7/om0lUjTtqzh1EhwUUSsWBwgR2dSMgZycHMkcPAr1M/jpp5/y\nz3/+k40bN9La2qplFp9MppRaywb8nfCO16jkWHWjRGRyuVxaI5+eRM3wWr16NQDr1q3TloEK0R0u\nl4uNGzfy1VdfAZCZmYnFYgnb/iiKQlJSEtOmTQNg+fLlMVGj1+fz4XA42Lp1K3/9618B/2s9YsQI\n7bpAiJ4i3Me8zP+ECB6Z3YqoJgOECBVFUbRJV0FBgQQHO1GX8b744osAPPLII1odrO5OCiUAGBt8\nPh/Nzc3U19f3qPfS5/PR0dHB5s2befbZZwE4fPhwSEtxiNjl8XiorKzkpZdeAmDIkCEUFhai1+vD\ntk9Go5GRI0cC/gBaY2NjTHzm1TqEa9euBeDRRx/l17/+Nb169eqxdVRFz2QwGLrUHQwHmf8JERwy\nuxVRTwYIEQqKopCcnAxAfn6+TAY6aWhoAOC+++4DoKKiArfbHc5dEhHG5/PR1NTErl27mDBhQo8I\nrns8Hmw2G5s3b+bBBx/UGvOojQ6ECAS73c6nn34K+G/Q/OAHPyAjIyNsY5ROpyM3NxeAvn37UlJS\nEjN1YH0+HzabDYBly5YxcuRIFi1aRFJSkiy1EyLEYmX+J8uKRSSJ/atz0SMEa4CQAIdQdZ7wZGVl\nSXCQb7L5XnnlFQDKy8uB0DYoEtHB5/PR1tbGZ599xoIFC7Qs3Fj6HPl8Prxer7Ysvrq6mk8//ZTn\nnnuOr776ira2Nu1xQgSK1+ulvr4egKeffpqUlBSuvPJK0tPTw/b5SkhIAKBPnz7o9fqwZxkFkhro\nrKur46mnnqK4uJipU6eGdTm3ED1VrAQIhYgUEhwUMSPQA4QEBkVner2ewsJCAJKSksK8N5FB7RL8\n8MMPAxIUFMfndDpZt24d69ev55xzzgGIygm1GtxTgwQejwen00lbWxsVFRVahuAHH3zAhg0bqKmp\niYm6ayJyqefeiooKHnjgATo6Oli0aBHZ2dkAIc3UVRRF2156enrMZgm7XC52797N3//+d7Kysigu\nLgbAZDKFec+E6FkkQChE4MTmiC16rEANEDabDYfDEbMXtUIIIYQQQggR7aI5QCjLikUkkciHiDnd\nHSBsNpv2O0KojEYjAwcOBPzZTjI4wsaNGwE4cOBAmPdERAOv10tlZSXPPfccQ4YMAaB///5hbZ5w\nIj6fT8v483g8uFwuOjo6aG5uprq6GoDS0lJ27tzJtm3b2Lt3L4cPHwagra0Nl8sVM/XWRORzu92U\nl5fz0EMPUVlZyU033QT4P2cmkykk41bnDFm9Xh/TY2VHRwcrV67k73//O7fddhsA/fr169Zr3Tkz\n2ev14vF48Hq92vcVRUGv16PX69HpdDFVmkGI7ojmAKEQkUKCgyImne4AcWRg0Gg0BmP3RJRROxWr\ny4p7ckZp5+X2f/3rXwH/clEROoqiaBNCdQKq1ruL9KWrDoeDlStX8txzzwHw4x//OOJqeKoBQZfL\nhc1mo6amBoB9+/axbds2tm/fzv79+7XgYHNzMx0dHTidTjwej3TYFmHl8XioqanhueeeY9++fQDc\nfPPNTJ48mcTExJAE49Uag83NzTEdHFe7sL/11lva5/3GG29k0KBBxMXFodPpThgkVM/dbrdbu/EA\nUFVVRXl5OYcPH6apqUkbe61WK9nZ2fTt25e+ffuSkZGhfT+Sb7QIEQqnO/+T+Z4Qfj13hiti3qkO\nEEcGBs1mc48OAomu4uLitPpNkRTICDW16QjAZ599FsY96Zn0ej0mk0kr+B8fH49er6ejo4O2tjY6\nOjoAfxA3EoNTatdiNTiYmprKokWLSE9PD+vE1ufzaZNvm81GRUUFmzZtYtWqVWzevBnw13NrbW3F\n4XB8KwgYia+16Lm8Xi8tLS1aF+MDBw5w1VVXcfnll9O7d2+tLl4wsvq8Xq92LVVaWhrz9Zu9Xi8N\nDQ28/vrrgH+MvOKKK5g8eTJZWVmYzWbgmyxKn8+n1SkFaGlpoaKigu3bt7Np0ya2b98OQGVlJc3N\nzd863+h0OsxmM6mpqQwaNIi5c+cCMGfOHAoKCmRlg+jxTnX+19HRoX1Ow0GWFYtIIpEPEdNOdoA4\nMjCYkpKidZYUQlEUrFYrycnJ2v/3NOoE79FHH9W+19raGq7d6ZH0ej3x8fH07t1bW5bbt29fTCYT\n9fX17N69m927dwNQX18fsU0wPB6PtvT2b3/7G06nk0WLFpGTkxPyGzJerxen00lDQwPbtm0D4P33\n32fVqlWUlpbS2tqqZUFFQ2amECqfz4fdbgdg79693H///Xz55Zd8//vfZ8qUKYD/WifQS3+dTqd2\nHtq7d2/MBwfBf05TM/4+++wzdu7cyfDhwxkzZgxFRUWA/0aITqfDZrNRVVXF3r17Adi1axelpaXU\n19fT3t6uvV7q+eZo55y2tjYaGho4dOiQ1gDp448/5qabbtIyRHvidYoQqlOZ/7W0tIRy14SIaBIc\nFDHvRAPE0QKD8fHxE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PD5fDQ2NvLaa68xefJkAPr27Ruwa3e1WZs69oVyTiDCR52LhWoO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WOlp8tqtt7kWSyXhXc8KECdx4440UFxerAytpy1hD0OPxmCPBRowY0WpacU/XXIyF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IMftHs/P/vZz9i8eTMFBQV84xvfaPc2d911FwsXLmTJkiX8x3/8B2+88Qannnoq9fX1vPDC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\nRERERERECvX/AFw3zuRn4xKbAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "sim_final.plot_eps(z=0, freq=freq0)\n",
        "plt.show()"
      ],
      "id": "54cf7b48"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, we want to inspect the fields, so we add a field monitor to the\n",
        "`Simulation` and perform one more run to record the field values for\n",
        "plotting."
      ],
      "id": "aaba9ef7-e967-4116-b0cb-20edf1214dcf"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [],
      "source": [
        "field_mnt = td.FieldMonitor(\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=[freq0],\n",
        "    name=\"field_mnt\",\n",
        ")\n",
        "\n",
        "sim_final = sim_final.copy(update=dict(monitors=(field_mnt, measurement_monitor)))"
      ],
      "id": "a8f7ce53"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "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\">02:29:25 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'inv_des_final'</span> with resource_id                      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-70c55991-2e8e-48ae-b4f7-50a55e6cb387'</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-70c55991-2e8e-48ae-b4f7-50a55e6cb387\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-70c55991-2e8</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-70c55991-2e8e-48ae-b4f7-50a55e6cb387\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">e-48ae-b4f7-50a55e6cb387'</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\":\"5cc566c77a3949678b5caae7c1eb4158\",\"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\">02:29:27 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\">02:29:28 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"0c5a8e56aaf347fc993fad32dac39275\",\"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\">02:29:30 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data_final = web.run(sim_final, task_name=\"inv_des_final\")"
      ],
      "id": "94b7202b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We notice that the behavior is as expected and the device performs\n",
        "exactly how we intended!"
      ],
      "id": "78f3bc0a-c277-40ce-9924-235ab9dfefdc"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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uXLki26Q74pSuTp06wd3dHYDmM238+PEm11Or1Rg5cqT0uEaNGqhUqVKG++Xo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OFRwqOlDx3uPtxGOg+lD9BOZR2Oen4ZQPLjRw4yjSryzftZikuW05xeLydqOeJlkIsxciGF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\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dFxHpiGFh6eWGzDiGpaOdjuGcRU0GGxzZ7AR7JIL6zUTSZEy1WbIS35wklwndSmnncL9k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\n5ye41rly5TqSagTsJK8WI5eUKILGXVPa6+eG0b7D99u6dTjYgImjqEaGt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lPcrsM57lBo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kIikcD4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\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yALp160avXr0oUKAAGzduZPr06dy5c4fKlSuzY8cOihcvnmz/l156iQ8//BCAbdu2mTPj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\nRERERMQF/h8Fb1rpYPTUpgAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "f, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(12, 3), tight_layout=True)\n",
        "sim_final.plot_eps(z=0.01, freq=freq0, ax=ax0)\n",
        "ax1 = sim_data_final.plot_field(\"field_mnt\", \"Ez\", z=0, ax=ax1)\n",
        "ax2 = sim_data_final.plot_field(\"field_mnt\", \"E\", \"abs^2\", z=0, ax=ax2)"
      ],
      "id": "f3f27584"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The final device converts more than 90% of the input power to the 1st\n",
        "mode, up from \\< 1% when we started."
      ],
      "id": "0d889407-3edd-47e2-bbc8-03bd253f4c2a"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Final power conversion = 95.98%"
          ]
        }
      ],
      "source": [
        "final_power = (\n",
        "    sim_data_final[\"measurement\"].amps.sel(direction=\"+\", f=freq0, mode_index=mode_index_out).abs\n",
        "    ** 2\n",
        ")\n",
        "print(f\"Final power conversion = {final_power * 100:.2f}%\")"
      ],
      "id": "b203a931"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Export to GDS\n",
        "\n",
        "The `Simulation` object has the\n",
        "[.to_gds_file](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html#tidy3d.Simulation.to_gds_file)\n",
        "convenience function to export the final design to a `GDS` file. In\n",
        "addition to a file name, it is necessary to set a cross-sectional plane\n",
        "(`z = 0` in this case) on which to evaluate the geometry, a `frequency`\n",
        "to evaluate the permittivity, and a `permittivity_threshold` to define\n",
        "the shape boundaries in custom mediums. See the [GDS\n",
        "export](https://www.flexcompute.com/tidy3d/examples/notebooks/GDSExport/)\n",
        "notebook for a detailed example on using `.to_gds_file` and other GDS\n",
        "related functions."
      ],
      "id": "13366989-81cb-4a93-aae6-e2468a1930c1"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim_final.to_gds_file(\n",
        "    fname=\"./misc/inv_des_mode_conv.gds\",\n",
        "    z=0,\n",
        "    frequency=freq0,\n",
        "    permittivity_threshold=2.6,\n",
        ")"
      ],
      "id": "9d9e1aac"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}