{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Adjoint inverse design of a quantum emitter light extractor\n",
        "\n",
        "> The cost of running the entire optimization is about 8 FlexCredit\n",
        "> (check this)\n",
        "\n",
        "In this tutorial, we will show how to perform the adjoint-based inverse\n",
        "design of a quantum emitter (QE) light extraction structure. We will use\n",
        "a `PointDipole` to model the QE embedded within an integrated dielectric\n",
        "waveguide. Then, we will build an optimization problem to maximize the\n",
        "extraction efficiency of the dipole radiation into a collection\n",
        "waveguide. In addition, we will show how to use `FluxMonitor` objects in\n",
        "adjoint simulations to calculate the flux radiated from the dipole. You\n",
        "can also find helpful information in this related\n",
        "[notebook](https://www.flexcompute.com/tidy3d/examples/notebooks/BullseyeCavityPSO/).\n",
        "\n",
        "<img src=\"img/adjoint_12.png\" width=400 alt=\"Schematic of the light extractor\">\n",
        "\n",
        "If you are unfamiliar with inverse design, we recommend the [inverse\n",
        "design\n",
        "lectures](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/)\n",
        "and this [introductory\n",
        "tutorial](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd0Quickstart/).\n",
        "\n",
        "Let’s start by importing the Python libraries used throughout this\n",
        "notebook."
      ],
      "id": "ab496060-a2a0-4479-910d-b5a2ada2e3ae"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Standard python imports.\n",
        "import pickle\n",
        "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 tidy3d.plugins.autograd import (\n",
        "    adam,\n",
        "    apply_updates,\n",
        "    make_erosion_dilation_penalty,\n",
        "    make_filter_and_project,\n",
        "    value_and_grad,\n",
        ")"
      ],
      "id": "224c3d54"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation Set Up\n",
        "\n",
        "The coupling region (design region) extends a single-mode dielectric\n",
        "waveguide placed over a lower refractive index substrate. The QE is\n",
        "modeled as a `PointDipole` oriented in the `y`-direction. The QE is\n",
        "placed within the design region so we surround it with a constant\n",
        "refractive index region to protect it from etching."
      ],
      "id": "b62a6534-d875-4ee4-92e6-2f6b1cc578ce"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Geometric parameters.\n",
        "cr_w = 1.0  # Coupling region width (um).\n",
        "cr_l = 3.0  # Coupling region length (um).\n",
        "wg_thick = 0.19  # Collection waveguide thickness (um).\n",
        "wg_width = 0.35  # Collection waveguide width (um).\n",
        "wg_length = 1.0  # Collection waveguide length (um).\n",
        "\n",
        "# Material.\n",
        "n_wg = 3.50  # Structure refractive index.\n",
        "n_sub = 1.44  # Substrate refractive index.\n",
        "\n",
        "# Fabrication constraints.\n",
        "min_feature = 0.06  # Minimum feature size.\n",
        "non_etch_r = 0.06  # Non-etched circular region radius (um).\n",
        "\n",
        "# Inverse design set up parameters.\n",
        "grid_size = 0.015  # Simulation grid size on design region (um).\n",
        "max_iter = 100  # Maximum number of iterations.\n",
        "iter_steps = 5  # Beta is increased at each iter_steps.\n",
        "beta_min = 1.0  # Minimum value for the tanh projection parameter.\n",
        "learning_rate = 0.02\n",
        "\n",
        "# Simulation wavelength.\n",
        "wl = 0.94  # Central simulation wavelength (um).\n",
        "bw = 0.04  # Simulation bandwidth (um).\n",
        "n_wl = 41  # Number of wavelength points within the bandwidth."
      ],
      "id": "79078045"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s calculate some variables used throughout the notebook. Here, we\n",
        "will also define the QE position and monitor planes."
      ],
      "id": "6022770d-5571-4663-bd6d-d7ff3aab58f2"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Minimum and maximum values of the permittivity.\n",
        "eps_max = n_wg**2\n",
        "eps_min = 1.0\n",
        "\n",
        "# Material definition.\n",
        "mat_wg = td.Medium(permittivity=eps_max)\n",
        "mat_sub = td.Medium(permittivity=n_sub**2)\n",
        "\n",
        "# Wavelengths and frequencies.\n",
        "wl_max = wl + bw / 2\n",
        "wl_min = wl - bw / 2\n",
        "wl_range = np.linspace(wl_min, wl_max, n_wl)\n",
        "freq = td.C_0 / wl\n",
        "freqs = td.C_0 / wl_range\n",
        "freqw = 0.5 * (freqs[0] - freqs[-1])\n",
        "run_time = 3e-12\n",
        "\n",
        "# Computational domain size.\n",
        "pml_spacing = 0.6 * wl\n",
        "size_x = wg_length + cr_l + pml_spacing\n",
        "size_y = cr_w + 2 * pml_spacing\n",
        "size_z = wg_thick + 2 * pml_spacing\n",
        "eff_inf = 10\n",
        "\n",
        "# Source position and monitor planes.\n",
        "cr_center_x = wg_length + cr_l / 2\n",
        "qe_pos = td.Box(center=(cr_center_x - 0.5, 0, 0), size=(0, 0, 0))\n",
        "qe_flux_box = td.Box(center=(cr_center_x, 0, 0), size=(cr_l, cr_w, 2 * wg_thick))\n",
        "wg_mode_plan = td.Box(center=(wl / 4, 0, 0), size=(0, 4 * wg_width, 5 * wg_thick))\n",
        "\n",
        "# Number of points on design grid.\n",
        "nx_grid = int(cr_l / grid_size)\n",
        "ny_grid = int(cr_w / grid_size / 2)\n",
        "\n",
        "# xy coordinates of design grid.\n",
        "x_grid = np.linspace(cr_center_x - cr_l / 2, cr_center_x + cr_l / 2, nx_grid)\n",
        "y_grid = np.linspace(0, cr_w / 2, ny_grid)"
      ],
      "id": "bf592eb9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Optimization Set Up\n",
        "\n",
        "We will start defining the density-based optimization functions to\n",
        "transform the design parameters into permittivity values. Here we\n",
        "include the `ConicFilter`, where we impose a minimum feature size\n",
        "fabrication constraint, and the tangent hyperbolic projection function,\n",
        "eliminating intermediary permittivity values as we increase the\n",
        "projection parameter `beta`. You can find more information in the\n",
        "[Inverse design optimization of a compact grating\n",
        "coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd6GratingCoupler/)."
      ],
      "id": "c299574e-0cdb-494f-94ee-bca71ccee598"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "def pre_process(params, beta):\n",
        "    filter_project = make_filter_and_project(\n",
        "        radius=min_feature, dl=grid_size, beta=beta, eta=0.5, filter_type=\"conic\"\n",
        "    )\n",
        "    params1 = filter_project(params, beta)\n",
        "    return params1\n",
        "\n",
        "\n",
        "def get_eps(params, beta: float = 1.00):\n",
        "    \"\"\"Returns the permittivities after filter and projection transformations\"\"\"\n",
        "    params1 = pre_process(params, beta=beta)\n",
        "    eps = eps_min + (eps_max - eps_min) * params1\n",
        "    eps = anp.maximum(eps, eps_min)\n",
        "    eps = anp.minimum(eps, eps_max)\n",
        "    return eps"
      ],
      "id": "75d55b87"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "This function includes a circular region of constant permittivity value\n",
        "surrounding the QE. The objective here is to protect the QE from\n",
        "etching. In applications such as single photon sources, a larger\n",
        "unperturbed region surrounding the QE can be helpful to reduce linewidth\n",
        "broadening, as stated in\n",
        "`J. Liu, K. Konthasinghe, M. Davanco, J. Lawall, V. Anant, V. Verma, R. Mirin, S. Nam, S. Woo, D. Jin, B. Ma, Z. Chen, H. Ni, Z. Niu, K. Srinivasan, \"Single Self-Assembled InAs/GaAs Quantum Dots in Photonic Nanostructures: The Role of Nanofabrication,\" Phys. Rev. Appl. 9(6), 064019 (2018)`\n",
        "[DOI:\n",
        "10.1103/PhysRevApplied.9.064019](https://link.aps.org/doi/10.1103/PhysRevApplied.9.064019)."
      ],
      "id": "674895fa-bd61-41bb-a10c-81dfeda75b9b"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "def include_constant_regions(eps, circ_center=[0, 0], circ_radius=1.0):\n",
        "    # Build the geometric mask.\n",
        "    yv, xv = anp.meshgrid(y_grid, x_grid)\n",
        "\n",
        "    # Shouldn't this be --> |x-x0|^2 + |y-y0|^2 <= r*2\n",
        "    geo_mask = (\n",
        "        anp.where(\n",
        "            anp.abs((xv - circ_center[0]) ** 2 + (yv - circ_center[1]) ** 2) <= (circ_radius**2),\n",
        "            1,\n",
        "            0,\n",
        "        )\n",
        "        * eps_max\n",
        "    )\n",
        "    eps = anp.maximum(geo_mask, eps)\n",
        "    return eps"
      ],
      "id": "0049bc97"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now, we define a function to update the `td.CustomMedium` using the\n",
        "permittivity distribution. The simulation will include mirror symmetry\n",
        "concerning the `y`-direction, so only the upper half of the design\n",
        "region is returned by this function during the optimization process. To\n",
        "get the whole structure, you need to set `unfold=True`."
      ],
      "id": "a3ba5f7c-06ce-46f3-9bd5-5ed08e314511"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "def update_design(eps, unfold=False) -> List[td.Structure]:\n",
        "    # Definition of the coordinates x,y along the design region.\n",
        "    coords_x = [(cr_center_x - cr_l / 2) + ix * grid_size for ix in range(nx_grid)]\n",
        "    eps_val = anp.array(eps).reshape((nx_grid, ny_grid, 1))\n",
        "\n",
        "    if not unfold:\n",
        "        coords_yp = [0 + iy * grid_size for iy in range(ny_grid)]\n",
        "        coords = dict(x=coords_x, y=coords_yp, z=[0])\n",
        "        eps1 = td.SpatialDataArray(eps_val, coords)\n",
        "        eps_medium = td.CustomMedium(permittivity=eps1)\n",
        "        box = td.Box(center=(cr_center_x, cr_w / 4, 0), size=(cr_l, cr_w / 2, wg_thick))\n",
        "        structure = [td.Structure(geometry=box, medium=eps_medium)]\n",
        "\n",
        "    # VJP for one of anp.copy(), anp.concatenate(), or anp.fliplr() not defined,\n",
        "    # so the optimization should only be run with `unfold=False` for now\n",
        "    else:\n",
        "        coords_y = [-cr_w / 2 + iy * grid_size for iy in range(2 * ny_grid)]\n",
        "        coords = dict(x=coords_x, y=coords_y, z=[0])\n",
        "        eps1 = td.SpatialDataArray(\n",
        "            anp.concatenate((anp.fliplr(anp.copy(eps_val)), eps_val), axis=1), coords\n",
        "        )\n",
        "        eps_medium = td.CustomMedium(permittivity=eps1)\n",
        "        box = td.Box(center=(cr_center_x, 0, 0), size=(cr_l, cr_w, wg_thick))\n",
        "        structure = [td.Structure(geometry=box, medium=eps_medium)]\n",
        "    return structure"
      ],
      "id": "5e8558c6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In the next cell, we define the output waveguide and the substrate, as\n",
        "well as the simulation monitors. It is worth mentioning the inclusion of\n",
        "a `ModeMonitor` in the output waveguide and a `FluxMonitor` box\n",
        "surrounding the dipole source to calculate the total radiated power."
      ],
      "id": "2374feee-21aa-4d53-b821-82a006b14f1e"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Input/output waveguide.\n",
        "waveguide = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-eff_inf, -wg_width / 2, -wg_thick / 2),\n",
        "        rmax=(wg_length, wg_width / 2, wg_thick / 2),\n",
        "    ),\n",
        "    medium=mat_wg,\n",
        ")\n",
        "\n",
        "# Substrate layer.\n",
        "substrate = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -wg_thick / 2)\n",
        "    ),\n",
        "    medium=mat_sub,\n",
        ")\n",
        "\n",
        "# Point dipole source located at the center of TiO2 thin film.\n",
        "dp_source = td.PointDipole(\n",
        "    center=qe_pos.center,\n",
        "    source_time=td.GaussianPulse(freq0=freq, fwidth=freqw),\n",
        "    polarization=\"Ey\",\n",
        ")\n",
        "\n",
        "# Mode monitor to compute the FOM.\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=n_wg)\n",
        "mode_monitor_fom = td.ModeMonitor(\n",
        "    center=wg_mode_plan.center,\n",
        "    size=wg_mode_plan.size,\n",
        "    freqs=[freq],\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode_monitor_fom\",\n",
        ")\n",
        "\n",
        "# Flux monitor to compute the FOM.\n",
        "flux_monitor_fom = td.FluxMonitor(\n",
        "    center=qe_flux_box.center,\n",
        "    size=qe_flux_box.size,\n",
        "    freqs=[freq],\n",
        "    name=\"flux_monitor_fom\",\n",
        "    enable_adjoint=True,\n",
        ")\n",
        "\n",
        "# Mode monitor to compute spectral response.\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=n_wg)\n",
        "mode_monitor = td.ModeMonitor(\n",
        "    center=wg_mode_plan.center,\n",
        "    size=wg_mode_plan.size,\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode_monitor\",\n",
        ")\n",
        "\n",
        "# Flux monitor to compute spectral response.\n",
        "flux_monitor = td.FluxMonitor(\n",
        "    center=qe_flux_box.center,\n",
        "    size=qe_flux_box.size,\n",
        "    freqs=freqs,\n",
        "    name=\"flux_monitor\",\n",
        ")\n",
        "\n",
        "# Field monitor to visualize the fields.\n",
        "field_monitor_xy = td.FieldMonitor(\n",
        "    center=(size_x / 2, 0, 0),\n",
        "    size=(size_x, size_y, 0),\n",
        "    freqs=freqs,\n",
        "    name=\"field_xy\",\n",
        ")"
      ],
      "id": "616f4c34"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Lastly, we have a function that receives the design parameters from the\n",
        "optimization algorithm and then gathers the simulation objects\n",
        "altogether to create a `td.Simulation`."
      ],
      "id": "90884813-367b-46d6-b92d-0db4387ea91a"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_adjoint_sim(param, beta: float = 1.00, unfold=False):\n",
        "    eps = get_eps(param, beta)\n",
        "    eps = include_constant_regions(\n",
        "        eps, circ_center=[qe_pos.center[0], qe_pos.center[1]], circ_radius=non_etch_r\n",
        "    )\n",
        "    structure = update_design(eps, unfold=unfold)\n",
        "\n",
        "    # Creates a uniform mesh for the design region.\n",
        "    adjoint_dr_mesh = td.MeshOverrideStructure(\n",
        "        geometry=td.Box(center=(cr_center_x, 0, 0), size=(cr_w, cr_l, wg_thick)),\n",
        "        dl=[grid_size, grid_size, grid_size],\n",
        "        enforce=True,\n",
        "    )\n",
        "\n",
        "    grid_spec = td.GridSpec.auto(\n",
        "        wavelength=wl_max,\n",
        "        min_steps_per_wvl=15,\n",
        "        override_structures=[adjoint_dr_mesh],\n",
        "    )\n",
        "\n",
        "    return td.Simulation(\n",
        "        size=[size_x, size_y, size_z],\n",
        "        center=[size_x / 2, 0, 0],\n",
        "        grid_spec=grid_spec,\n",
        "        symmetry=(0, -1, 0),\n",
        "        structures=[substrate, waveguide] + structure,\n",
        "        sources=[dp_source],\n",
        "        monitors=[field_monitor_xy, mode_monitor_fom, flux_monitor_fom],\n",
        "        run_time=run_time,\n",
        "        subpixel=True,\n",
        "    )"
      ],
      "id": "54f3782e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Initial Light Extractor Structure\n",
        "\n",
        "Let’s create a uniform initial permittivity distribution and verify if\n",
        "all the simulation objects are in the correct places."
      ],
      "id": "60c5a102-c267-4a42-afff-047dc8608906"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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pp0GtV8ydn5+PH3/8Ub5AREREREQhqlmzJurXrw+g5AqtS5YsCdu6r732Wunx\nDz/8ELD9999/Lz1u27ZtSOvs3bs3+vbtC6Ak78aNG1XpQ651XXfdddLjRYsWVXh97rdH/uqrryrU\nl/sVcgWZbiOjxntGCdu2bZMef/DBB9Lf3t4cOHBAuqqQP0p8v0u76667pFulzZ07F06nE//9739h\ns9kAAA8++GBYbyvmzzXXXCNdid3pdAa8qs+3334rPW7VqlW5ryat1HrVygHA43154sSJoF937tw5\nj6tHefPPP/+EPK5wc8+ekZGh4kiIiMgX3hKLiMgHQRAwePBgjz8UAMBsNkuX1D179mzAA3h3kyZN\nwvLly6XltLQ06Q/F1NRU6euPPPIIZs+e7fHahIQEVKlSBefPn5cuZelyuTB16lTY7Xa88sorZdZ3\n+fJlDBo0yOMewQaDAdWqVUOlSpWQk5MT8JLRcvQRLDnXNX/+fNx///0ef+THxMSgevXqAIDTp09L\nk4F27dqFbt26YevWrT7/EPz4448xcuTIMkWDKlWqICEhAWfPnvW4TLG71NRUNGrUCAUFBdJtmlJS\nUrxe+tj9fVAecr1nSvv9998xZcoUqXiRlJSE1NRUnD9/3uNyxuPHj8cNN9yAdu3ahTR+XxITE1G1\nalUUFBR4TELau3cv+vTpg61bt5a5rY/S3+9q1aqhUaNGAdsVFxdLfxRXq1bN66WrDx8+XGZSWkX4\nuu3W9u3bpcfdunUL2M9NN92ErKysMq8tL7nXq1YOAFixYoX0uGvXrhXqqyJ+++03rF69WpowKG6D\nsrOzpa+dPHkS9957L1asWIFevXrh+PHjAID4+HhUq1YNeXl50rZUEAQ8/vjj6Nq1q98iK1CSW7wt\n2IoVKzBw4EClYhIRERERBW3gwIF46623AJTUXXr27On3luNy6dWrF+bOnQsAmDNnDsaMGePzmPrs\n2bPSGAGgZ8+eZdps374dLVu2DLhe91tTl54IIUcfwZJjXYMGDcL7778PAHjrrbdw77334oorrgjY\np9PpxL59+3D11Vd7fH3gwIF49913AZRM2BkxYkRQfzt6U6lSJelxKLfF9kbu94xa3OtBgW79HexJ\nY0p8v72t45577sG7776LkydP4scff5Ruh2UymTB8+PCAfTRt2hRjx46VbUzNmzf3+nWz2Yz+/ftj\nzpw5AIDXXnsNd9xxh9db0+fl5WHWrFnS8u233x7yeORer1o5gJLboIkT4/bu3Ytbb701qNcVFBTg\n119/Rffu3b0+73K58N///rdCYwunPXv2SI9btWql3kCIiMg31a7tQ0Skca+//rrHJThbt24tLF68\nWCgoKJDa2O12ISsrS3j//feF2267zWs/7pfDxf9f/vOZZ54RTpw44bX90qVLPdq3adNGWLNmjXRJ\nVvG2QVdeeaXHrU3WrVtXpq/vvvtOapOSkiLMmTOnzKVHL126JOzYsUOYNm2aMGzYMEX6CJZc69q7\nd69QqVIlqa+bbrpJWLVqlcetrwoKCoS5c+cKNWrUkNqNGDHCa3/bt28XYmNjpXZVq1YV3nzzTeHU\nqVMe7c6dOyd8++23wrBhw7z+PObPny/1MWHChKC+J8HcEkvO94wgeN5+R/wYOHCgx+VjHQ6H8N13\n3wnVqlWT2tx5551BZfLlxIkTQr9+/YR3331X2Lt3b5nbXp0+fVp44403hOTkZGmd06ZN89lfKN9v\nuTidTqF///4CACE+Pl7YuHGj13alb/tV0Q9vt93Kz8/3aHPgwIGA43/jjTek9jfffHNI3wO516tW\nDkEo2V4YjUYBgJCamhqwvZK3xBI/7rnnHmHfvn1Sm4sXLwrPPfecRxvx8s/NmzcXVq5cKdjtdkEQ\nSt6fP/zwg8et88aOHRtwnMeOHZPaX3nllQHbExERERGFw7Fjxzz+Zm/evLnw999/+2x/5MgRYfPm\nzWW+Xt5bYtlsNqFWrVrSa6644gph7969ZdodPXrU41ZNlSpVEs6fP1+mndFoFO69916vYxP99NNP\nHllLt5Wjj2DJta5OnTpJz6enp/u9lVVRUZEwf/58oXnz5sLjjz/utU379u2l/pKSkoTPP/9ccLlc\nXtteuHDB562pHnroIamfN9980+eY3AW6JZbc7xlBUOeWWHfccYfUT2ZmpmCz2byu6+GHH/b4G9Xf\nLbFC+X6Hwv02Y+51sr59+yq2zlBt375dqkUAEO6+++4ytwa3Wq3CTTfd5PGeP3PmjNf+Dhw4IMyY\nMUOYMWOG8MYbb4RtvXL3F6zvv//eo4bij/stsQAIjRs39nprtuLi4jLva1//E9DKLbHuueceqX1F\nbxVIRETK4IQdIiIvLl68KKSmpkoHswMGDPCY7FEepSfsfPbZZ37buxcq2rdvLxQWFnptd/78eeGK\nK67w+4flm2++KT3/9ttvhzR+OfoI97ruvvtuqZ9HH33UZ2FGEAQhKytLqFKligCU3E/99OnTZdoM\nGDBA6q9u3brCkSNHQhqXUhN25HzPCELZyQG+imCCIAirV6+W2iUnJ/v9Xstly5YtQkxMjPQHtC9q\nTth58sknBaBkYtS3337rs104JuxkZWV5tAlmW/bNN99I7Vu1ahXS90Du9aqVQxAE4Y8//pD66dKl\nS8D2Sk/Yefrpp332ddddd3m0veaaa7z2KQiCsHDhQqndVVddFXCcgiAIKSkpAgDBYDAEvPc8ERER\nEVG4vP/++x7HwQaDQejcubMwduxY4ZVXXhHGjx8v3HPPPUKLFi18/p1b3gk7giAIS5Ys8VhvTEyM\n0L9/f2HKlCnC1KlThcGDBwvx8fEebWbNmuW1L/c2DRs2FO677z7h+eefF1566SXhySef9JjAAZRM\nuCj9N7gcfQRLrnUdOHDAowYn9vfAAw8IL7zwgvDKK68IY8eOFXr16iUkJSUFrFXs2bNHSExM9Oiv\ncePGwsMPPyz8+9//Fp5//nnhwQcfFLp16yZYLBahfv36Xvv5+OOPpddbLBZh6NChwksvvSRNeJgx\nY0aZiSqBJuwIgrzvGUFQZ8LOggULPMZXo0YNYeTIkcK///1v4YUXXhDuuusuqd6RmJgo5fE3YSeU\n73eoOnbsWKaeotWJDKUnh9SpU0cYNWqU8NJLLwkjR470OBEHgDBjxgyffbnXGE0mU9jWq0R/wbh4\n8aJUP/T1ey5yn7ATHx8vGAwGIS4uTrjjjjuEF198UXj55ZeFkSNHCrVr1xYACGlpaVL72NhY4Zln\nnhE+/fRTjz61MmGnfv360rbGV32IiIjUxQk7RERezJs3TzrwrV69eoUOZt3/WO/evbvftkeOHPH4\n42THjh1+269atUpqazQayxz8f/LJJ9LzoZ6dIkcf4VyX1WoVzGazAECoWbNmUP/Uf+mll6T1fv75\n5x7PnTt3TjAYDNLzP//8c0jjEgRlJuzI/Z4RBM/JAdWrVxcuXbrkt8/GjRtL7UOdzFRet99+u7RO\nb5NUBEG9CTvuE8/eeustv21bt24tNGrUSLaPc+fOlVmH+9ljZrM5qAzLly+XXtOoUaOQvg9yr1et\nHIIgCJ9++qnUz7333huwvZITdtLT08uciebOPTMAYc2aNT7bOhwOqeBtNBqD2l62bNlS6nvLli0B\n2xMRERERhcvLL7/s8fe7vw+5JuwIgiBMnz496PU+9dRTPvtp3bp1UH0AJVf+9XYVITn6CJac6/rz\nzz+FunXrBt2f2WwW3n//fZ/9/frrr9LJWYE+fP0j32q1evxT3ttH6b/fgpmwIwjyvWcEQZ0JO06n\nU+jWrVvAsZtMJmHJkiXS1a39TdgJ5fsdqjlz5nj0W6tWLcHhcMjSt9yKi4s9rjzj7+OBBx7w21d5\nJuzIuV4l+guW+++kvys1u0/YadSokTB8+HC/Y/z++++Fpk2benyt9JWItTBh58CBA1LbXr16+W1L\nRETqMYKIiMr49ddfpcfDhw9HYmKiLP0OHjzY7/MbNmyQHrdv3x7XXHON3/Y9evRAgwYNAJTcP3fT\npk0ez998882IiYkBADz33HN44403cOLEiXKNWY4+wrmuP/74Aw6HAwBw/fXX49SpUzhy5AiOHDmC\nw4cP4/Dhw8jKypI+Dh06hLp160qv37Ztm0d/a9euhSAIAEruK+3r/sVqkfs9U1rfvn0RHx/vt02z\nZs2kxzk5OQFGXD7FxcU4c+YMsrKycPDgQemjWrVqUpvdu3fLus6K+Pbbb/H0008DAEaPHo3Ro0f7\nbb9161aPXBX9SEtLK7OO4uJi6bH4+xVIbGys9Pjy5ctBvUbp9aqVAwCOHz8uPU5PTw+5Hzn06dPH\nI1dpV1xxhfQ4JSUFN954o8+2JpMJjRo1AlCyPbBarQHXX7NmTemx+/eFiIiIiEhtkyZNws8//4yO\nHTv6bZeRkYEOHTrItt5x48Zh+fLlaN68ud91LliwADNnzvTZ5q+//sJXX32Fzp07+2xjNpuRmZmJ\nLVu2oGXLlor0ESw519W2bVts27YN48aNQ1JSks92CQkJeOCBB7Bz50488sgjPtvdeOON2LZtG+67\n7z6YTCaf7SpXroxevXr5fG7JkiWoV6+ez9eHSq73jFqMRiO+++473H///TAavf+L6aqrrsLatWvR\nv3//oPpU8vtd2p133omUlBRpefjw4X7fJ2qyWCxYsWIFXnjhBSQkJHhtU7VqVbz33nv45JNPNLte\ntXLcc8890uPFixcH/bpZs2Zh0KBBZb4eHx+PuXPn4rbbbsPEiRM9nqtevXroA1WIe+ahQ4eqOBIi\nIvLHrPYAiIi06MCBA9LjLl26yNav+8QGbw4fPiw9DrZ41KFDBxw5cgQApM+iunXr4q233sKoUaNw\n6dIlPP3003j66aeRkZGBtm3bokOHDrjpppvQqlUrn/3L0Uew5FjXnj17pMfffPMNvvnmm3KNofSE\nE6XeC3KR+z1Tmji5xx/3CW1FRUVBjcGfDRs2YM6cOfjll1+QlZUFl8vlt30wkwzCYePGjbjnnnvg\ncrkwYMAAvPnmm2oPCQBQqVIl6XGwk1YuXbokPQ51wqLc61UrBwDk5+dLj30VlsKlfv36fp93H1/d\nunV9Fk+9tQ/m99e9vfv3hYiIiIhIC7p164YNGzbg8OHD+O2333Dy5ElcunQJaWlpqFGjBlq2bOmz\nNlO5cmWMHTsWQMlkifLo1asXevXqhZ07d2LdunU4ffo0XC4Xqlevjvbt26Ndu3YwGAx++zAYDBg8\neDAGDx6MY8eO4bfffsPhw4dRVFSEypUr44orrkCXLl08TmBRoo9gyb2uqlWrYvr06XjppZewceNG\nbN++HTk5OXA4HEhLS0PLli3RoUMHj78N/alXrx7mzZuHt99+G7/88gsOHTqE3NxcJCcno0aNGmjY\nsCGuu+46vyeEdO7cGVlZWVi7di3+/vtv5OTkoLi4WDqxy2KxeLS//fbbpUk4VatW9Ts+Od4zAPDA\nAw8gOzsbABAXF+e3rcVikd7j7idjhCIpKQlz587Fiy++iNWrV+PIkSMwGo2oUaMGOnbsiDZt2kht\nH3vsMeTn5wc8+aa83+9QxcfHo2bNmrBarTAajRgxYoQs/SolJiYGU6ZMwbhx4/DTTz/h4MGDyMvL\nQ1paGq6++mp07949qBObmjRpIv38g5mgJNd6leovGJmZmXjqqaeQk5ODBQsWYNy4cUG9Lj4+HosW\nLcKWLVuwdu1a5OXloX79+hg4cKD0u33//fejZs2aWL9+PZo2bYrMzEyPPsrzu3nddddJP5sWLVr4\nbZuWlia1bdq0qd+2X375JYCS7VHp8RERkXZwwg4RkRd5eXnSYzmvplC5cmW/z7tPPAi2oOE+e999\n3KLHHnsM1157LaZNm4bly5fDZrNJV5oRJ7M0bdoUzzzzDO677z6v65Cjj2BVdF0VvcKL+z/4AeXe\nC3JR4j3jrrzFELGIEgqHw4FHH30UH3/8cbleV1BQEPI65XLo0CH069cPRUVFaN++PRYsWBBwokS4\nuJ+dKAgCLl686PeMRcBzIkaoE13kXq9aOQDAbrdLj+UuHpVXeX4nlfj9de/T/apHRERERERakpGR\nUe5JN6mpqXj99dcrtN5rrrkm4JVvg1GvXj3ce++9qvehxrosFgtuuOEG3HDDDbL0l5KSgoEDB4b8\nepPJhG7duqFbt24B24Yy8aOi7xnxH/fBsFgsFX6Pl1a/fn08+OCDfttMnjw56P7K8/0O1caNG6UT\n/m655ZaAJ8ZoRaVKlTBgwICQX9+sWbOQfv4VXa/S/fkTHx+PRx99FC+99BL+/vtvbNmyBW3btg36\n9W3btvXb/pZbbsEtt9zi9bny/G7666e09PT0oH6OW7duxdatWwEAI0eODHgFdSIiUg8n7BAReWE2\n/2/z6P6P2ooKdGZMKOt1b+f+encdOnTA4sWLUVhYiE2bNmHz5s1Yv349fvvtN+Tn52Pv3r24//77\nsXr1asybN8/rOOXoI1gVWZf746pVq3pc4jYYpSflKPVekItS7xk1TJw40etkneTkZCQnJ8NisUg/\n39zcXGmyUUUmCckhJycHvXv3xrlz59CwYUMsXbo06D+CDx8+DKfTKdtYMjIyypwlVaNGDZjNZulW\ncYcPHw54tk5WVpb0uE6dOiGNRe71qpUD8DwTKtonqbhfhSfYM1uJiIiIiIiItML9isiBJhuR/o0e\nPRpvv/02Ll68iLfffhvz589Xe0hh8fbbbwMoOYFtzJgxKo+GiIj80c5/6YiINCQtLU16fOTIEVnv\nbe5PlSpVpMcnTpwI6jXHjx/3+npvEhIS0L17d3Tv3h1AycSNRYsW4bHHHkNeXh7mz5+Pfv364fbb\nb1e0j2CFsi73n92DDz6I1157rUJjKP1e0Bql3zPhkpeXh//85z/S8pAhQ/DII4+gTZs2Xq+M8uyz\nz+KVV14J5xC9unz5Mvr3748DBw6gSpUqWL58ebnuWd26dWtcuHBBtvFkZ2eXmXRmsVjQuHFj7N27\nFwDw999/B5zosn37dulxoFv5+SL3etXKAXheylzOn5dIT5OA3PMHusQ7ERERERERkZb8+uuvWLhw\nIYCSK1X369dP5RGR0tLS0jBmzBhMnToVX375JV566SXdXFUpVMePH8cXX3wBoGTCkhy3QSQiIuVo\n414NREQa06pVK+nxihUrwrbeq6++Wnr822+/BbxySHFxMTZs2CAtl/cf0jExMbjrrrvwxhtvSF9b\ntGhR2PuQc13u/8Bfs2ZNhdfp/l5YvXp1ha6yU5GrDvkS7veMUn7//Xfpe3vrrbdiwYIFuOGGG3ze\nxujQoUMB+1Ti++1OEATcd999WLduHWJjY7FkyRJceeWViq4zVO3bt5cer1y50m9bm83m8bvTrl07\nzaxXrRzuhZyTJ0+W67Xut+Xyxul0Svc01wP3/JFe4CIiIiIiIiJ9O3PmDF5//XVMmzYNw4cPR+/e\nvaXa2ahRo8p9K2nSp/Hjx6NOnTpwOBx44YUX1B6O4l544QXY7XbUqlULEydOVHs4REQUACfsEBF5\n0bNnT+nxF198IV3RQWmdOnVCTEwMgJJbuSxdutRv+zlz5iA3NxdAyeUt27Rp4/G8eOuYQNwnbZw6\ndUr2PoIlx7quv/56aZLHli1b8OOPP1Zo/Z06dUJSUhIA4PTp0/jggw+C7q8099vquN9WpiLkfs+o\n5fz589LjQFdNOX36NJYtWxawTyW+3+7Gjx+Pb775BgaDAfPmzUOXLl3K3UfDhg3RqFEj2T583eJs\n4MCB0uNFixb5/R2dP3++9B5JSEjw2B6Wl9zrVSuH+zYnmMli7twnyHnzyy+/oLCwMKRxhZvD4cDR\no0cBALGxsWjcuLHKIyIiIiIiIiLy7fjx4xg3bhyeeeYZzJkzB5cvXwZQctts3iYoeiQkJGDevHkY\nO3YsqlevLr0PIlFxcTGqVauGsWPHYt68eT5PhiQiIu3ghB0iIi969Ogh/YPWZrPhtttuw4EDB/y+\nRo4D/ZSUFGRmZkrLDz/8MPbt2+e17aZNmzB+/HhpediwYdLEDdG4ceMwceJEnDt3zu96xUtkAp63\ngJKrj2DJsa64uDg8/vjj0vKQIUPwyy+/+O3P5XLhu+++87iajig2NhaPPvqotPz0009Ll871RRAE\n2Gy2Ml93v/zoP//847ePYMn9nlFLamqq9HjZsmU+J9jk5ORg0KBBKCgoCNinEt9v0XvvvYfXX38d\nADBt2jTceeedIfWzdetWHDx4ULYPX797vXr1Qq1atQCU/OF+3333ed1m7d+/H+PGjZOW7777bsTH\nx3vt88iRI9J6fV1FRu71KpEjGFdddRUSEhIAAHv27IHT6Qz6tbNnz8b+/fu9PpeXl1emQBjsxEU1\n7N+/X7p9V8uWLTWz/SAiIiIiIiIKVnp6OpYsWcKJDFGme/fueP311/Haa695nOQXaWJjYzFt2jS8\n/vrr6NGjh9rDISKiIHg/DZuIKMoZDAa88847uPnmm+F0OnHw4EG0aNECw4YNQ+/evdGgQQMIgoBT\np07h6NGjWLlyJdasWYMLFy5UeN1TpkzBd999h6KiIpw+fRpt27bFk08+iV69eiEtLQ2nT5/Gd999\nh/fff1+aFJKSkoIJEyaU6auoqAhvvfUWZs6cidtuuw09evTANddcgypVquDChQs4ePAg5s+fj59+\n+kl6TZ8+fWTvI1hyrWvixIn49ttvceDAAVitVtx0003o06cPBg4ciObNm6Ny5cooLCzE8ePH8ccf\nf2DhwoU4evQoTCaT13FNnDgRX331FY4ePQqbzYY77rgDPXv2xJAhQ9C8eXPEx8fjzJkzOHnyJP74\n4w8sXboUn3zyCXr16uXRT/PmzWEwGCAIAn7++WdMnToVvXv3RkpKinT7prS0NKSkpJTr+ybne0Yt\n119/PcxmMxwOB7Zv345OnTph1KhRuOaaa5CUlITTp09jzZo1+PDDD3Hu3DkYjUa4XC6/fSr1/f7h\nhx/w5JNPAgD69u2LQYMG4eDBgwFfl5GR4fM9prS4uDhMnToVI0aMAAD8/PPP6NChA55++mm0bNkS\nRUVFWLNmDaZPnw6r1QoAqFSpkt/LBHfs2BFnzpwBUDIpRexbyfUqkSMYJpMJN9xwA1asWIHLly9j\n27ZtaNu2bVCvvXDhAjp27Ih//etf6N69O6pUqQKr1Yr169fj7bffxrFjx6T3KQB8/PHHGDBgAGrX\nrl2hSUZKWLdunfSYRR8iIiIiIiLSuvT0dIwdOxZASU2hadOmGDhwoHRSDhEAGI1G6X0S6omoRERE\nIROIiMin9957TzAajQKAgB8mk8lrHz179pTa7Ny5M6j1zps3L+j1WiwW4fvvv/fazxNPPBFUH+JH\np06dBLvdLnsfwZJzXXv37hXq1atXrv7i4uJ8jm3r1q1CtWrVgu5rxYoVXvvp0aOH39fNmDHDo/3i\nxYul50aPHu1zfHK9ZwRBEN555x2p7auvvuqznWjo0KFS+99//z1ge19GjRoV1Pjr1asnPProo9Ly\nnDlzfPZZ3u93MKpWrVqu95X4kZ2dHfL3Rg4ul0u49957gxqr0WgUFi1a5Le/GjVqSO1nz54dtvXK\n3V+wZs2aJfU7ffp0v20ffPBBqe0dd9zhd4wZGRnC6NGjy3z9l19+kforz+9kdna21Pbaa68NmKtz\n585S+8OHD/tte/fdd0tt161bF7BvIiIiIiIiIiIiIiLyjbfEIiLy49FHH8XSpUvRsGHDgG3lvBLC\nfffdh8WLF6N27dp+2zVs2BA//vgjbrvtNq/Pv/7663jzzTelW8j4M2TIEKxcuRJms+fF1+ToI1hy\nruvKK6/EX3/9hSFDhsBo9L+7M5lMuP3227Fjxw6fbVq3bo3NmzcHdVUJg8Hg89Kq77zzDtLT0wP2\nUV5yvWfU9MYbb+Cuu+7y26Zt27b4+eefUb169aD6VOL7rdf7XBsMBnzyySd4+umn/V7pp3r16li0\naBEGDRqkyfWqlWPw4MHS9ub7778P+nUjRozA3Xff7fW5GjVqYNGiRXjooYdUu/pSsBwOB1asWAEA\naNCgATp16qTyiIiIiIiIiIiIiIiI9I23xCIiCqBPnz64+eab8f3332PlypXYu3cvcnJyUKlSJaSn\np6N+/fq45ZZbfE7kqFWrFho1agSg5B6ywerXrx9uvvlmfP311/jpp59w6NAh5OfnIyUlBU2aNEGv\nXr2QmZkJi8Xis4/Y2FiMGTMGo0aNwvLly/Hjjz9ix44dyMnJQVxcHGrXro22bdvijjvuQLNmzRTr\nI1hyrystLQ0LFizA1KlT8d133+GPP/7AqVOnkJ+fj+TkZGRkZKBz587IzMwMapJQgwYNsGrVKmzc\nuBHff/89/vzzT5w9exZAyT/ea9asieuvvx633noratas6bWPpk2bYvfu3Zg7dy7Wrl2Lo0ePorCw\nULq9U2pqqkf7xMRE6f1TrVo1v+OT4z0DlNwuS1xn6fF4k56eLrWvyMS1mJgYfPHFF3jooYewYMEC\n7NixAwUFBahatSoaNWqEAQMG4NZbb4XZbEaVKlWkdSYnJ/vss7zf72A0atQIhYWF5X5dqBPZ5BQT\nE4MZM2ZgxIgRWLBgATZs2IDTp0/DYrGgXr166NWrFwYPHhzUbcIyMjKk+71Xrlw5bOtVor9gVKtW\nDbfeeiuWLFmC9evX4+TJkwEnyAEll1X+7LPPcNttt2HBggU4cuQIKleujC5duuDJJ5+UJpQtWLAA\nM2fOhMViwV133YXOnTtLfZTnd9JsNktt69atG3B8derUkdrHxMT4bLd69Wrk5eUBAO6//37ptnJE\nRERERERERERERBQagyAIgtqDICIiIiLSut9++w1du3YFAPz73//Gc88957XdiBEj8MknnwAAVq1a\nFdSVubTujjvuwMKFC2GxWHD06FFFrhRGRERERERERERERBRNeEssIiIiIqIg3HjjjejYsSMA4KOP\nPoLD4VB5ROFx6tQp6TZg999/PyfrEBERERERERERERHJgBN2iIiIiIiC9O9//xsAcPz4cXzxxRcq\njyY8Zs6cCZvNBovFgueff17t4RARERERERERERERRQRO2CEiIiIiClKPHj3Qu3dvAMDLL78Mp9Op\n8oiUdfbsWXzwwQcAgDFjxqBu3boqj4iIiIiIiIiIiIiIKDKY1R4AEREREZGevP322zh48CAcDgd+\n+OEH9O/fX+0hKWbu3LmoUaMGrrzySjz33HNqD4eIiIgqyOFw4Pjx4wCA5ORkGI08l4+IiIiIiPTF\n5XIhPz8fAFC3bl2YzcpOeXC5XLhw4YKi65Bb5cqVFft7r6ioCFu3bkV2djYAICMjA9dee23Qrz9/\n/jxOnjyJ7OxsCIKA9PR0NG/eHDExMYqMV+s4YYeIiIiIqByaNGmC/fv3qz2MsBg/fjzGjx+v9jCI\niIhIJsePH0fDhg3VHgYREREREZEssrKykJGRoeg6Lly4gCpVqii6Drnl5uYiNTVVtv6WLFmCH3/8\nEZs2bcKuXbvgcDik5x588EF8/PHHfl//66+/4vPPP8evv/6KgwcPlnk+ISEB9957L6ZOnYpq1arJ\nNm494IQdIiIiIiIZVa9eHY0aNQIAVKpUSeXREBEREZU1adIkmEwmCIIAl8ulyhgEQYDD4ZDOjK0o\nk8nkcUam3W4vc/vSYNroFfMzP/Mzv4j5mZ/5mb+8bfRKj/mTk5NhNpthMBgq3JfRaPTox9uxfTBt\n9MpoNOKll15SexhR4/XXX8e6desAAPHx8bj22muxadOmoF8/d+5czJs3T1pu1KgRGjduDIPBgK1b\nt+Ls2bP44IMPsGTJEqxZswZXXXWV7Bm0ihN2iIiIiIhk9Morr+CVV15RexhEREREZSQnJwMo+ceF\nyWSS5R8FoRAEAUajESaTCenp6bL163A4YLPZpGWLxSJdHt/fc5GC+Zmf+ZlfxPzMz/zMH+i5SKG3\n/JcvX4bT6YTL5ZLlWFwQhDJfE/v191wkECdeiX/jkLIGDhyIe+65B+3bt0eLFi3gcDgQHx9frj6S\nk5Px8MMP4+GHH5ZOeAVKflffeecdjB07FqdPn8bAgQOxc+fOqLlFVmRtlYmIiIiIiIiIiMgro9EI\noKR4bzAYVLsaYHFxMUwmE+Li4lCjRg1Z+y4sLITVapWWxQK+1WpFXFwcACAlJQUJCQmyrlcrmJ/5\nmd8qLTM/8wPMz/zMz/zayn/mzBlp0k5sbKwsfdpsNtjtdmlZnJTk/rWYmBhYLBZZ1qcFLpcLBQUF\nAP73N044aXXik7dJWnIZO3asx7L7LbGCMXDgQEyfPh3Vq1cv85zZbMaYMWNw5swZvPbaa9i3bx++\n//57ZGZmVmjMesEJO0RERERERERERFEkUi6D7434jxjxnzbu/7wBtPPPGqUwP/MDzM/8Vo/PIuZn\nfuZn/kgV7fnFiTjiBB33iTpA5E3WUZvBYNDshB1A2Uk7FdG/f/+AbR544AG89tprAIB169Zxwg4R\nERERERERERGR3pT+p40o0v9ZI2J+5geYn/mtHl9nfuZnfuaPdNGev/SkHREn68iPE3aUU6VKFenx\nhQsXVBxJeIX/GlFERERERERERERERERERERERAB27dolPa5du7aKIwkvXmGHiIiIiIiIiIiIIkZh\nYWGZs6uB/51xHelnWTM/8zO/tczXmb/ka8zP/JGM+Zk/mvPbbLYyV9cB/nfFHV5lRz5av8KOnr37\n7rvS4549e6o4kvDihB0iIiIiIiIiIqIoYjRG7kW3S/+zJiUlBcD//lkT6f+0YX7mZ36rtMz8KQCY\nn/mtHp+Zn/kjUbTnLz1ZJyYmBsD/Jutw0o689DJhx9sENnepqanhGUiQli5dikWLFgEAunbtis6d\nO6s8ovDhhB2qEIfDgePHjwMAkpOTI7rgQ0REREREkcnlciE/Px8AULduXZjNyv+p7HK5dHU/7sqV\nKyv2915OTg42b96M3bt3w+FwAAAmTJgQdAHs4MGDOHDgALKzs2G1WpGSkoLmzZujTZs2YflZEumR\nwWCAIAhqD0N23v5Z4/6PmUj/pw3zMz/zW6Vl5md+5md+EfNbPT4zf2Tl9zZZx31iDiftRK+GDRv6\nfV5Lfw8eOHAA9913HwAgKSkJs2fPVnlE4cXKFVXI8ePHA/7CExERERER6UVWVhYyMjIUX8+FCxdQ\npUoVxdcjl9zcXFnPvtqxYwemTZuGzZs349ChQ2Wef/rpp/1Otjl58iTGjx+PX3/9FadOnfLapnbt\n2njuuefwyCOPyDZuokhjs9kipmgf6J814uNI/acN8zM/81ulZeZnfuZnfhHzMz8QufkDTdYRH0fq\npB21rnKjlyvs6MXZs2fRp08fWK1WGI1GzJkzB40bN1Z7WGHFCTskiwkTJsBkMqk9DAiCAIfDIZ0d\nazKZpEu/ASU7I6fT6fW15WmrF8zP/MzP/CLmZ37mZ/6KttWLaMyfnJwMs9kMg8EAo9HoUTQQBAEu\nl8vr68rTVi8qmv+ll15SfIxUYseOHfjiiy8AAFWrVkXbtm1x7Ngx7NmzJ6jXHz9+HAsWLJCWmzdv\njnbt2iE1NRXHjh3DihUrcPLkSTz66KPYsmULPv74Y0VyEOldpBTtA/2zRhSp/7RhfuZnfqu0zPzM\nz/zMXxrzMz8QefkDTdYRReqkHbvdzkkzAWRlZUm3h9OqCxcuoGfPnjh48CAA4P3330dmZqbKowo/\nTtihCklOTgZQ8s8Oi8Wi6sZREAQYjUaYTCakp6fD4XDAZrNJz1ssloCXQw/lNVrF/MzP/MwvYn7m\nZ37ml/s1WhWt+S9fvgyn0+l1Ykqg43Nvl7/Va8EjlCzurxEfi3/jkLJatmyJzz//HO3bt5fOnBo2\nbFjQE3aAkt/XESNG4KmnnkKTJk08njtz5gwGDhyIDRs24JNPPkG3bt0wdOhQWTMQ6Zn79k/vRftg\n/1kjirR/2jA/8zO/VVpmfuZnfub3hfmZH4ic/MFO1hFF2qQdm80m3U5bDXq5wk5KSoqsV0qWW2Fh\nIfr06YO///4bAPD6669j5MiR6g5KJfqqRJPmGI1G6bHBYEClSpVUG0txcTFMJhPi4uKQmJgIq9WK\nuLg4AIF31u5K7+iTk5N1t9MWMzA/8wPMz/zMz/zMX57Xipif+fWU/8yZMygoKPD4WqBijbvShR6z\n2ay7ok15i1X+Xuv+N044abHYo+T9zK+55hpcc801Ib++Xr162LVrV5mJOqIaNWpg8eLFaNiwIS5d\nuoR3332XE3aI3JSe5KnXon15/1kjipR/2jA/8zO/VVpmfuZnfuYPhPmZH9B//lDrH5Eyaad0fjXo\nZcKOll2+fBn9+vXD+vXrAQBTp07F2LFjVR6VetSpRBIpyG63h7SzFiUkJHhcIsxqtaKwsFDGESor\n1IMVEfMzP/OnSMvMz/zMz/x6wfzRnd9ut3v847U8k1WAkuJM6VuDuV91SOsqMlkH0MZVlcRijxY/\ntKpWrVo+J+uIatSogS5dugAA/vrrr3AMi0hXDAaDrrf/0b7/Z37mZ36rtMz8zM/8zB8s5md+PeeX\no/6h5+P/0vmVPMmIlGO325GZmYk1a9YAACZOnIjnn39e5VGpi1fYoYjicDjgdDoRGxsLoPw7a5Fe\nZ9pW9GBFxPzMDzA/81s9PjM/82sZ8zN/tOd3L66Ut1gj0uuZVhUtVrm/Ts0ilZYnx+i9ACZedctu\nt8PhcKg+OYtIa/S6/ef+n/mZ3yotMz/zMz/zlxfzMz/A/HrLL1f9Q6/H/96uDl1cXKzKWLRcw9E6\np9OJIUOGYPny5QCAp556Cq+++qrKo1IfK1UUMVwuFwRBgMlkAhD6zlqkt522XAcrIuZnfoD5md/q\n8Zn5mV+LmJ/5md8qLRuNxgoVWPRWtJGrWCXS+8QUKsvlcmHr1q0AgNq1a3OyDpEPetv+c//P/Mxv\nlZaZn/mZn/lDxfzMDzC/XvLLXf/Q2/G/t/ycsKM/giDggQcewKJFiwAAjz32GGbOnKnyqLSB1SqK\nCDabDS6XS9pAVnRnLdLLTlvugxUR8zM/wPzMb/X4zPzMryXMz/zMb5WWjUajLMUCvRRt5C5WqU0P\nxR7395s3qamp4RlIOXz99dc4fvw4AKB///4qj4ZI2/Sy/ef+n/mZ3yotMz/zMz/zVxTzMz/A/FrP\nr1T9Qy/H/77yu98ansLjyJEj2LJli7Ts/nM5cuQIFi5cKC2bzWYMGDDA4/UTJ07E/PnzAQBXXnkl\nunbt6vGa0txvcx7pOGGHdK/0xtpisci6Q9X6TlupgxUR8zM/wPzMb/X4zPzMrwXMz/zMb5WWLRYL\nnE4nnE6nLP1rvWgTaZN1AH1M2GnYsKHf57V2haIzZ85gzJgxAIBKlSphwoQJKo+ISPu0vv3n/p/5\nmd8qLTM/8zM/88uF+ZkfYH6t5le6/qH143+t1n/0UMNRwurVq/HQQw95fe7nn3/Gzz//LC0nJCSg\noKDAo82mTZukx/v27cPgwYP9ru+mm27C6tWrKzBi/eCEHdK10htro9GImJgY2dej1Z220gcrIuZn\nfoD5md/q8Zn5mV9NzM/8zG+VllNSUlBQUCDbZB2RVos2Wi3WkLbYbDbcfvvtOH36NADg7bffRt26\ndVUeFZE+aHX7z/0/8zO/VVpmfuZnfuaXG/MzP8D8WssfrvqHVo//Wf/RnoyMDGRmZgbVNj4+vszX\nbrzxRqSlpQW9vhYtWgTdVu84YYd0y9tkHbNZube01nba4TpYETE/8wPMz/xWj8/Mz/xqYH7mZ36r\ntCzmL33Gily0VrSJ5GKNHs7OysrKQkpKitrDCMjlcuG+++7DH3/8AQAYOXIkRowYofKoiPRFa9t/\n7v+Zn/mt0jLzMz/zM79SmJ/5AebXSv5w1z+0dvyv9fqPHmo4Srjppptw0003hfz6F198UcbRRBZO\n2CFd8raxDscl2LWy0w73wYqI+ZkfYH7mt3p8Zn7mDyfmZ37mt0rL4cqvlaKN1os1FaWHYk9KSgpS\nU1PVHkZAjz32GL766isAwODBg/H++++rPCIifdLK9p/7f+Znfqu0zPzMz/zMrzTmZ36A+dXOr1b9\nQyvH/3qo/+ihhkP6YlR7ABQZjMbwvZXU3lgnJCR4nFlqtVpRWFgYtvWrdbAiYn7mZ/4UaZn5mZ/5\nmT9cmJ/51cxvsVg8bjtrt9ths9nCtn61j/9JP8aNG4cPP/wQAHDrrbfis88+C+vfqkSRRu3tv9r7\nv2jf/zM/8zN/irTM/MzP/MwfLswf3fnVrn+offyvdn4itfAKOyQLg8EQlivcaGVjrdZMW7UPVkTM\nz/wA8zO/1eMz8zO/kpif+ZnfKi2rlV+tM620cvyvNJ6dVXFTpkzB66+/DgC4+eabsXDhQo9CIxGF\nRq3tv1b2f9G+/2d+5geYn/mtHp+Zn/mVxPzMH835tVL/YP0nMNZwSG6csEOystlsim1AtbaxDvdO\nWysHKyLmZ36A+Znf6vGZ+ZlfCczP/MxvlZbVzh/uoo3Wjv+VxGJPxUyfPh1Tp04FANxwww1YsmQJ\nYmNjVR4VUeQI9/Zfa/u/aN//Mz/zA8zP/FaPz8zP/EpgfuaP5vxaq3+w/uMfazgkN14bmmSl1OXR\ntLqxTkgIz+XxtHawImJ+5mf+FGmZ+Zmf+ZlfbszP/FrMH67LI2v1+J+057333sOECRMAAB07dsSy\nZctQqVIllUdFFHnCtf3X6v4v2vf/zM/8zJ8iLTM/8zM/88uN+aM7v1brH6z/EIUPr7BDsnC/HZbc\nMy21vrFWeqatVg9WRMzP/ADzM7/V4zPzM78cmJ/5md8qLWstv9JnWmn9+F8JPDsrNPPmzcMTTzwB\nALj22mvx448/IjExUeVREUUupbf/Wt//Rfv+n/mZH2B+5rd6fGZ+5pcD8zN/NOfXev2D9R/ftFrD\ncf9/PekHJ+yQLFwul8eyXBttvWysldppa/1gRcT8zA8wP/NbPT4zP/NXBPMzP/NbpWWt5leqaKOX\n43+5ReuEnenTp3v8Lblz506P54zG/10U+LbbbkOzZs2k5Q0bNuDBBx+EIAgwGo3o3r073n//fb/r\ne+SRRzzOkCSi8lNq+6+X/V+07/+Zn/kB5md+q8dn5mf+imB+5o/m/C6Xy+PvYa3WP1j/KUvLNRyt\njov844Qdko3BYIDZbJZto623jbXcO229HKyImJ/5AeZnfqvHZ+Zn/lAwP/Mzv1Va1np+uYs2ejv+\np4qbNGkSnE6n1+eeffZZj+U6dep4TNg5evSo9FqXy4UZM2YEXN/tt9/OCTtEMpB7+6+3/V+07/+Z\nn/kB5md+q8dn5mf+UDA/80dzfofDoYvJOiLWf4iUxQk7JCu5Ntp63VjLtdPW28GKiPmZH2B+5rd6\nfGZ+5i8P5md+5rdKy3rJH+3H/3LR8tlZSpowYYLPCTulNW/e3GP56quvxoQJE8q1vtTU1HK1JyLf\n5Nr+2+12Xe7/on3/z/zMDzA/81s9PjM/85cH8zN/NOe32+26mqwjYv3nf7Rcw9HquMg/Ttgh2VV0\no633jXVFd9p6PVgRMT/zA8zP/FaPz8zP/MFgfuZnfqu0rLf80X78LwctF3uU9PLLL4f82hYtWqBF\nixYyjoaIyqui23+HwwGn04nY2FgA+tv/Rfv+n/mZH2B+5rd6fGZ+5g8G8zN/tOe32WzSst7qH6z/\nECmDE3ZIEaFutCNlYx3qTlvvBysi5md+gPmZ3+rxmfmZ3x/mZ37mt0rLes0f7cf/RETRKtTtv8vl\ngiAIMJlMAPS7/4v2/T/zMz/A/Mxv9fjM/MzvD/MzP/NbpWWj0ajL+gfrP9o+6Uqr4yL/OGGHFFPe\njXYkbayB8u+0I+VgRcT8zA8wP/NbPT4zP/N7w/zMz/xWaVnv+aP9+L8itFzsISIKJJTtv8vlkrZ7\net//Rfv+n/mZH2B+5rd6fGZ+5veG+Zmf+a3SstFo1HUNINrrP1qu4Wh1XOQfJ+yQooLdaEfaxloU\n7E470g5WRMzP/ADzM7/V4zPzM7875md+5rdKy5GSP9qP/0Ol5WIPEVEwQt3+WyyWiNj/Rfv+n/mZ\nH2B+5rd6fGZ+5nfH/MzP/FZp2WKxwOl0wul0hmOYimH9h0g+nLBDigu00Y70jXWgnXakHqyImJ/5\nAeZnfqvHZ+ZnfoD5mZ/5Izl/tB//ExFFq/Ju/41GI2JiYsI8SuVE+/6f+ZkfYH7mt3p8Zn7mB5if\n+Zm/dP6CggLdT9YRRWv9R8snXWl1XOQfJ+xQWPjaaJd+HCkb69J87bRLP460gxUR8zM/wPzMb/X4\nXPox8zM/8zN/pIn2/NF+/B8KLRZVBEFQewhEpDPBbv+NRiPM5sgrS0b7/p/5mR9gfua3enwu/Zj5\nmZ/5mT/SlDd/QUFBGEenvGis/3DCDskt8v4yJs3yt9EGImtj7Y2/nTYQuQcrIuZnfoD5md/q8VnE\n/MzP/MwfqaI9f7Qf/5eHVos9WhwTEWlfMNv/SJ4QGO37f+ZnfoD5md/q8VnE/MzP/MwfqaI9P+s/\nRBXDCTskG0EQUFxcHLCd0WiEy+Uq87VgX++L0+mEy+WCIAg4c+ZMyP2EQ+mcsbGxKCgoiLiZtb4w\nP/O7Y37mZ37mZ37mjwZK5i8qKoLD4ajw8bRSlDr+l5MgCJycQkQko9JFe5FYrNfK9l8ppf9pI4r0\nf9aImJ/5AeZnfqvH15mf+Zmf+SNdtOcPdPwfSbR60hXAE6/0ihN2Arh48SK2bNmCzZs3Izs7GwDQ\nqVMn3HnnnbKv6+jRo1i+fDlOnDiB2NhYNGnSBLfeeiuSkpLC2kcoBEGA0WiEyWQKur278rzWF5fL\nJfUTHx9fob6U5HA4ylz2OSYmJiIvBe0N8zM/8zO/O+ZnfuZn/migdH6bzQaXywWXy1XhY2qlKHH8\nLyfx+6cWrRZ7tDgmIiIiIiIiIiKiSBEdFfIQ/Pvf/8ZXX32FPXv2lCncFhQUyDph5+LFixg9ejTm\nzp1bppCdkJCA6dOn47HHHlO8j4pwOBwwmUyIi4sL2M7pdHotzpvN5gr900IQBJhMJiQmJqJOnToh\n90NEREREpCdOpxMFBQVwOp0Bj8fDTcnjfzm5XC5cvHhRtfVzwg4RRRqbzVbm7Fqg7Bm3kaqwsLDM\n2dXA/864jvSzrJmf+ZnfWubrzF/yNeZn/kjG/MwfzfkDHf9H0lV2tFrDAVjH0SttVEc1aOXKldi9\nezcSExNx7bXXok2bNpg5c6bs67Hb7ejfvz9++eUXAECPHj1w4403orCwEN988w0OHTqExx9/HPn5\n+Zg4caJifVRUfn4+0tPTUaNGDZ9txJ1VbGwsgJLLwAGel4dLTEwMead15swZxMfHo06dOujbt29I\nfRARERER6c2yZctw4sQJFBUV+T0eDzelj//lZLPZcOzYMbWHQUQUEUoX62NiYgD8r1hvt9s1d6U1\nOZX+Z03p/V+k/9OG+Zmf+a3SMvOnAGB+5rd6fGZ+5o9E0Z4/mON/IHIm7XDCDsmNE3Z8mDx5MmrV\nqoWrr74aRqMRly9fVmTCzuuvvy5NtHnzzTcxZswY6bkpU6Zg0KBBWLFiBZ599ln06dMHLVq0UKQP\npXnbWbnvmKJlp0VEREREFA14/F8+Wi32aHFMRKRt3or17oV58TmXywWHwxH28Skt2vd/zM/8zG+V\nlpmf+Zmf+UXMb/X4HO35I02wx/+RNmmHSE5GtQegVbfccguaN28Oo1G5b1FRURGmT58OAOjatavH\nRBsAiIuLw9y5cxEfHw+Xy4WpU6cq0ofSAu2sEhISpNmmQMlOq7CwMIwjJCIiIiIiufD4v/zECTta\n/CAiClagYr3FYpHOtgVKJu1E0i2yon3/x/zMz/xWaZn5mZ/5mV/E/MxfOn8kHf+W9/jfbrfDZrOF\ndYxKULtOwzpO5OGEHRWtXLlS2pA/+uijXttUr14dmZmZAEoudV96RyZHH0oKtLMSRfpOm4iIiIgo\nGvD4n4goOgUq1otKF+1tNltEbP+jff/H/MzP/FZpmfmZn/mZvzTmZ373/DabLSKuNBnq8X8kTNpR\ne0IOJ+xEHk7YUdHPP/8sPe7evbvPdjfddBMA4PLly1i3bp3sfSgl2J2VKFJ32kRERERE0YDH/6FT\nu5jDQg8RVUSwxXqRxWLxuKK13rf/0b7/Y37mZ36rtMz8zM/8zO8L8zO/e36XywWXy6XgCJUVyvF/\npE3aIZITJ+yo6J9//gEA1KhRA2lpaT7bNWvWrMxr5OxDCeXdWYkibadNRERERBQNePxfMWpPyuGE\nHSIKVXmL9SKj0RgRk3aiff/H/MzP/FZpmfmZn/mZPxDmZ/7Sk3b0OGkl1OP/SJq0o3adhnWcyGNW\newDR7OjRowCAunXr+m1Xp06dMq+Rs49A8vLyfD7nvlMShbqzEoltxT7Ez+Xpg4iIiIiIwoPH/0RE\n0SnUYr3IbDbDZDJJy3rb/kf7/o/5mZ/5rdIy8zM/8zN/sJif+S0WC4qKigBAOpYuzzG0mip6/C+2\nFfvQW36RlifGaHVc5B8n7Kjo4sWLAIDExES/7dyfF18jZx+BVKlSJei2Fd1ZifS+0yYiIiIiigY8\n/peHVos9WhwTEWlDRYv17q9LTEzU3fY/2vd/zM/8zG+Vlpmf+Zmf+cuL+aM7f0xMDIqLi+F0OgHo\nZ9KKXMf/kTJph0hOnLCjosuXLwMIvBGKjY0t8xo5+5CLw+GQZWcl0utOm4iIiIgoGshVrBJF8/E/\nJ+wQkZ7IVawX6W37H+37P+Znfua3SsvMz/zMz/yhYv7ozm82myEIAlwuFwDtT1qR+/hf75N2tFrD\nAVjH0StO2FFRpUqVkJ+fj+LiYr/t3CfYVKpUSfY+AsnNzfX5nNVqRcOGDWEymWCz2RAXFweg4jsr\nkd522kRERERE0UDuYpWIx/9ERNomd7FepJftf7Tv/5if+ZnfKi0zP/MzP/NXFPNHd36j0QiTyaT5\nSStKHf/rfdIOkZw4YUdFycnJOH36NPLz8/22c7+FVVJSkux9BJKamhqwTUxMjPRYrp2VSC87bSIi\nIiKiaKBUsUoUjcf/Wj07S4tjIiL1KFWsF2l9+x/t+z/mZ37mt0rLzM/8zM/8cmH+6M6v9UkrSh//\naz2/P6yXkJyMag8gmmVkZAAAjh075red+/MNGzaUvQ85yb2zEiUkJCAlJUVatlqtKCwslH09RERE\nRETkm9LFKlG0Hf+LE3a0+EFEBChfrBdpdfsf7fs/5md+5rdKy8zP/MzP/HJj/ujOb7FYPC6KYLfb\nYbPZZF9PeYXr+F+r+f1Ru07DOk7k4YQdFTVv3hwAkJOTg5MnT/pst337dulxs2bNZO9DLhaLRdFZ\nr1rdaRMRERERRYNwFatEPP4nItKGcBXrRVrb/kf7/o/5mZ/5rdIy8zM/8zO/Upg/uvNrbdJKuI//\ntZafKNw4YUdFt9xyi/T4p59+8tlOfC4pKQmdOnWSvQ852O12mM3K32FNazttIiIiIqJoEO5ilSha\njv/VPvuKZ2YRkS/hLtaLtLL9j/b9H/MzP/NbpWXmZ37mZ36lMX9059fKpBW1jv+1kj8YatdpWMeJ\nPJywo6Ju3bqhZs2aAIBZs2bB5XKVaZOVlYUffvgBAJCZmYnY2FjZ+5CD0+mUvU9ftLLTJiIiIiKK\nBmoVq0TRcPyvdjGHhR4i8katYr1I7e1/tO//mJ/5md8qLTM/8zM/84cL80d3frUnrah9/K92/mCp\nXadhHSfycMKOgl599VU89dRTeOaZZ7w+HxMTgylTpgAAtm7diqeffhqCIEjP5+Tk4K677oLdbofF\nYsHkyZMV6UOPvO20HQ6HegMiIiIiIopAaherRGoX7YiIoo3axXqRWtv/aN//MT/zM79VWmZ+5md+\n5g835o/u/GpNWtHK8b9eJu0QyUn5exjp1MaNG/Hll19Ky+5XkNm4cSOeeuopaTk2NhavvfZamT7m\nzZuHffv2oXLlynj11Ve9rmfkyJH49ddf8eWXX2LmzJlYtmwZbrjhBhQWFmL58uW4cOECAGD27NnI\nyMhQrA89EneU4g60uLgY8fHxKo6IiIiIiChyaKVYJSp9/C9+VnNMctHqWVBaHBNRMC5evIgdO3ag\nqKgIANC+fXskJyfLvh6bzYaDBw8iNzcXaWlpaNy4cblvFy5HH3LTSrFeFO7tf7Tv/5if+ZnfKi0z\nP/MzP/OrhfmjO7947C0ek4uflTom19rxf7jzl5dWazgA6zh6xQk7PuzatQtvv/221+d2796N3bt3\nS8sJCQleJ+wEw2AwYP78+WjatClmzJiB/fv3Y//+/dLz9evXx7vvvou+ffsq2odeld5pu+9QiIiI\niIgoNForVokifdIOEYWmsLAQn332GTZv3oxNmzZhz549HrcM37BhAzp27Cjr+p5//nnMnTsXeXl5\n0terVauGkSNH4vnnnw94O3I5+lCC1or1onBt/6N9/8f8zM/8VmmZ+Zmf+Zlfbcwf3fnDNWlFq8f/\nWp60wwk7JDdO2PGhU6dOmDlzZlBtfW0cJk2ahNzc3IAFFrPZjClTpmDcuHH47bffcPz4ccTGxuKK\nK65Ax44dg/rlkqMPvRJ3nGfOnFF5JERERERE6pDz9rBaLVaJInnSDhGF5vjx43jkkUek5cTERFSp\nUgXHjh2TfV1WqxXXX3+9dCJXnTp1UL9+fRw8eBBnzpzByy+/jDVr1uDnn3/2eRVgOfpQglaL9SKl\nt//Rvv9jfuZnfqu0zPzMz/zMrxXMH935lZ60ovXjfy1P2iGSEyfs+NCsWTM0a9asQn3cd9995Wpf\nqVIl9O7du0LrlKMPPUpISFDlzDMiIiIiIi2w2+2yTNrRerFKFGmTdrR6dpYWx0TkTWJiIkaOHIn2\n7dujffv2aNasGd577z2MGjVK9nUNGzYMu3fvhtlsxvvvv48HH3wQBoMBTqcTM2fOxLhx47BhwwY8\n+eSTmD17tmJ9yE3rxXqRUtv/aN//MT/zM79VWmZ+5md+5tca5o/u/EpNWtHL8b+v/GreRlirNRyA\ndRy9Mqo9ACK5mM1mxMTEqD0MIiIiIiJVFBcXo7CwMOTX66VYJUpISEBKSoq0bLVaK5Rfzb8lxGKP\nFj+I9KBOnTr48MMP8eCDD+Kaa66B0ahMuWvdunX47rvvAADjx4/HiBEjpN8Tk8mEp59+Gg899BAA\n4NNPP8WePXsU6UNueinWi+Te/kf7/o/5mZ/5rdIy8zM/8zO/VjF/dOe3WCweNQu73Q6bzRZyf3o7\n/veW3338RHrHCTsUUdScUUlEREREpLZQi1Z6K1aJ5CraFRUV8YqdRBTQnDlzAJQUjMeMGeO1zYQJ\nE2AwGOByufDf//5XkT7kpLdivUiu7X+07/+Yn/mZ3yotMz/zMz/zax3zR3d+uSbt6PX4v3R+h8Oh\n2klGap9YxROvIg8n7BAREREREemce9GivEUrvRarRBUt2hUWFiI/P1+BkQVP7WIOCz1EwVm2bBkA\noGPHjkhLS/PaplGjRrjyyis92svdh1wEQdBlsV4kx/Y/2vd/zG+Vlpmf+Zmf+fWC+Zmf+VOk5WjL\nX9FJO3qdrCMqnZ8TdljHiRScsENERERERKRzZrPZ4woxwRat9F6sEoVatCudXy1qF3NY6CEK7Pz5\n8zh9+jQA4Nprr/Xbtl27dgCAvXv3ehTE5ehDLqVvG6a3Yr1Iru1/tO//mJ/5mZ/59Yb5mZ/5U6Rl\n5o+u/KFO2tH7ZB1R6fxEkYATdoiIiIiIiCKA2WwuV9EqUopVovIW7UrnLy4uVnB0RKR3Bw4ckB7X\nr1/fb9t69eoBKCmeHzlyRNY+5OI+IU+vxXpRRbf/0b7/Y37mZ37m1yvmZ37mT5GWmT+68pd30k6k\nTNYRWSwWmM1m1dav9olVPPEq8qj3biYiIiIiIiJZiQUnsRAlfi5diIq0YpUo1PzJyck4depUOIbo\nlVaLKlocE5Fa3LcZqampftu6P3/hwgVZ+whGXl6ez+dKX1VM78V6Efd/zA8wP/NbPT4zP/O7Y37m\nZ36rtMz8kZFfPIYXJ+KIn0sf20faZB1RTExMuW4HJiet1nAA1nH0ihN2iIiIiIiIIkigolWkFqtE\noeRX+3LKWi32aHFMRGpxP2M3Li7Ob9v4+HjpcUFBgax9BKNKlSpBt42EYr2I+z/mB5if+a0en5mf\n+QHmZ37mZ36r1D7S8geatBOpk3VEgiCoPQQiWXDCDhERERERUYTxVbQq/TjSilWi8uZX66wsItIP\n94l9DofDb1v3orh7QVyOPuQiCEJETsrj/o/5AeZnfqvH59KPmZ/5mZ/5Iw3zR3d+X5N2Sj+OtMk6\natLqSVcAT7zSK07YISIiIiIiikD+ilZA5BarRHrKr9VijxbHRKSWxMRE6fGlS5f8tnV/3v11cvQR\njNzcXJ/PWa1WNGzYEC6Xq1x96ometv9KYH7mB5if+a0en0XMz/zMz/yRKtrz+5u0A3CyDpHWccIO\nERERERFRhCpdtBJFerFKpJf8nLBDpH21a9eWHp88edJvW/fna9WqJWsfwUhNTS1X+0ikl+2/Upif\n+QHmZ36rx9eZn/mZn/kjXbTnLz1pR8TJOvLTag0HYB1Hrzhhh4iIiIiIiIiIyI/GjRsjJiYGdrsd\n+/bt89tWfL5atWpIS0uTtQ8iIiIiIiJSDyfskNw4YYeIiIiIiChCFRYWljm7DPjfGWeRfpaZXvJr\ntdijxTERqcVsNqNTp05Yu3Ytfv/9dwiC4PV3xGazYePGjQCALl26yN4HBUcv23+lMD/zM7+1zNeZ\nv+RrzM/8kYz5mT+a89tstjJX1wH+d8UdXmWH5FRQUIC//voL2dnZAIBGjRqhXbt25erD5XJh+/bt\nOHHiBGJjY9GkSRNkZGQoMVzNM6o9ACIiIiIiIpJf6WJVSkoKUlJSpGWr1YrCwsLwDyxM9JRfnLCj\nxQ8i+p/MzEwAwIkTJ7B69WqvbRYuXIiCggIAwO23365IH3IwGiO3JKin7b8SmJ/5md8qLTM/8zN/\nirTM/MzP/JGbv/RknZiYGMTExEjLdrsdNptNjaFFJLXrNGrVcRYtWoQRI0bgmmuuQeXKldG1a1cM\nGTIEQ4YMwYcffliuvj766CPUq1cPbdq0Qb9+/dCzZ080bNgQHTp0wObNmxVKoF2R+9c5ERERERFR\nlPJWrEpISEBCQkJUFK2iPT8Rld+FCxewevVqrF69GgcOHPDaZvjw4ahRowYAYPTo0WXO4D19+jQm\nTJgAoOT2V94m28jRhxwMBgMEQVCkbzVF+/af+Zmf+a3SMvMzP/MzP/MzfzTk9zZZx2KxwGKxcNKO\ngtSelKPGSVczZ87EJ598gl27diE+Ph6dO3cOqZ9Ro0bh4YcfxsmTJ5GWloa+ffuia9euiImJwebN\nm9G5c2csW7ZM5tFrG2+JRUREREREFEF8FatE4mOxTaRdHjqU/ImJieEcYhlavZqNFsdE5Muff/6J\nCxcuSMv79u3zeE68Yg0A1KtXD1dccYXH63fu3Imbb74ZADB27Fi8/vrrZdaRmJiIDz74AJmZmdiz\nZw/atWuH0aNHIyMjA3v37sVbb72FEydOICYmBrNnz/YokMvZh5xsNlvEXB6f+z/mZ36rtMz8zM/8\nzC9ifuYHmD9S8/uarCMSH4ttIu32WKxZhNftt9+OYcOGoX379mjWrBnsdjvi4+PL1ceXX36JWbNm\nAQDuuecezJ49G3FxcQCAw4cPo0+fPti7dy/uuusu7N+/HzVr1pQ9hxZxwg4REREREVGECFSsEkVq\n0SrU/Pn5+Yr/U9wfTtghqrhRo0Zh06ZNXp978sknPZZHjx6Nt956K6T1DBgwAPPnz8ejjz6KgwcP\nYtSoUR7Pp6WlYc6cOejatauifcglUor23P8xP/NbpWXmZ37mZ/7SmJ/5AeaPtPyBJuuIInXSjt1u\nV61modUaDqBsHeepp57yWHZ//wXD5XJh0qRJAICmTZvik08+8XgfZmRk4Ouvv0arVq1QUFCAl19+\nWZrcE+k4YYeIiIiIiCgCOByOoIpVokgrWgVbrBOVzh8bG6vk8IhIYe3btw/6allXXnllma+lpKTg\npptuAoAyV98p7e6778bNN9+ML7/8Eps3b0Zubi7S0tJw3XXXYfDgwUhNTQ04Bjn6qAj322HpvWhf\n0e1/tO//mN/q8XW9YX7mZ36rtMz8zM/8zO9LpOUPdrKOKNIm7dhsNjgcDtXWH60Tdirqjz/+wOHD\nhwGUnFTj7f13zTXXoGfPnlixYgW++OILvPXWWzCbI386S+QnJCIiIiIiinAOhwPFxcXSpJNAxSpR\npBStylusE4ltcnNzlRpaULRa7AnnmOx2Ow4dOiQV3Zo3b17uPgRBwNmzZ1FQUID09HTdvY+pYv7z\nn/9U6PXNmzfH6tWrg25frVq1MlfGKS85+giVy+XyWNZr0b6i2/9o3/8xv9XjM/Mzv54wP/Mzv1Va\nZn7mj6b85Z2sI4qUSTul85N+rFixQnrcu3dvn+169eqFFStWIDc3F5s3b8Z1110XjuGpihN2iIiI\niIiIdM69WBFssUqk96JVqMU6UUJCAhwOB/Lz8xUYXXCiccJOTk4OVq5cic2bN2PTpk34+++/cfny\nZel5u90e9FlUVqsVL7zwAj7//HOcP38eQMnYr7vuOkyYMAG33XabIhmI9M5gMMBsNuu2aC/H9h+I\n7v0fwPzMb/X4zPzMrwfMz/zMb5WWmT+68oc6WUek90k7pfO7XzU0nLRawwG0fYWdnTt3Aij5vW3Q\noIHPdm3atPF4DSfsEOmMmpdAIyIiIiJSW3mLVSK9Fq0qWqwTxcfHo7i4WMaRUSArVqzAvffeKy3H\nxMQgMTERBQUF5ern6NGjuOGGG3Ds2DEAQGpqKlJSUnD8+HGsW7cO/fr1w7PPPouXXnpJ1vETRQq9\nFu3l2v5H+/6P+ZkfYH7mt3p8Zn7m1zLmZ/5ozl/RyToivR7/l85vNptZx9GZQ4cOAQDq1avnt537\n8wcPHlR0TFphVHsARHJxOBy8DBoRERERRa3Y2NgKFZgSEhKQkpIiLVutVhQWFsowMmXIVawTqf23\nhHiGlpY+lJSWloYhQ4Zg5syZWLduHfLz85GZmVmuPpxOJ/r164djx44hISEBCxYsQE5ODrKysnD0\n6FHpyjovv/wyvvzySyViEEUEi8WCmJgYadlut8Nms6k4Iv/k3v5H+/6P+Zmf+VOkZeZnfuZnfq1i\n/ujOL9dkHZHejv+95Xcff7ipXasJtpZjtVqRl5fn8yPcLly4AAAev3veVK5cWXqs5tWww4lX2KGI\nUFhYiOLi4qAvmU5EREREFEnkKlTo5UwzuYt1atPq5ZSVHFOvXr3Qq1evCvUxd+5c7NixAwAwa9Ys\nDBkyRHquVq1a+Oabb9CmTRv8888/mDhxIgYNGqT5swaJ1KKXM22V2v5H+/6P+ZkfYH7mt3p8Zn7m\n1xLmZ/5ozi/3ZB2RXo7/feV3uVyqjUmrNRzAs47TsGFDv23DfUuxS5cuAQDi4uL8touPj5cea3ki\nnZx4hR3SvdI7ayIiIiKiaCPnxHWtn2kWaZN1KHSzZ88GANSvXx/33XdfmedjY2Mxfvx4ACW3zlq1\nalVYx0ekN1o/01bp7X+07/+Yn/mZP0VaZn7mZ37m1wrmj+78Sk3WEWn9+F/p/BRepSeJ+eL+HoyN\njVV0TFrBy5GQrpXeWat5CTQiIiIiokih1TPNInWyjlbPztLimERnz57F5s2bAQC33XYbjEbv5yP1\n69cPBoMBgiBg6dKl6Nu3bziHSaQ7Wj3TNlzb/2jf/zE/8wPMz/xWj8/Mz/xqYn7mj+b84ZqsotXj\nfy1P1tFqDQfwrONkZWUFvP1UOCUlJeHcuXMBJ8W5P5+YmKj0sDSBE3ZIt0rvrGNjY3lLLCIiIiIi\nmWitaBWpk3UA7RZ7tDgm0fbt26XLN7dr185nu9TUVDRu3BgHDhzA33//HabREemb1or24d7+R/v+\nj/mZH2B+5rd6fGZ+5lcD8zN/NOcP92QVrR3/a3myDqDdGg7gWcdJSUlBamqqiqPxVKdOHWRlZeHE\niRN+27k/X7duXaWHpQm8JRbpkredNSfrEBERERHJSyuXh47kyToUmv3790uPMzIy/LZt0KABAGDf\nvn1KDokoomjl8vhqbf+jff/H/MzP/CnSMvMzP/Mzf7gxf3TnV2uyilaO/7U+WYdC16xZMwBAdna2\nx+94aXv37pUeX3311UoPSxM4YYdkYTKZwrYuFuuJiIiIiMJH7aJVNBz/i2dnafFDZLVakZeX5/Mj\n3NzXWaVKFb9txecvXLggXZWHiAJTu2iv9vY/2vd/zM/8zJ8iLTM/8zM/84cL80d3frUnq6h9/K92\n/mCpXacJto6jNTfccAMAQBAErF271me7X3/9FUDJz/+6664Lx9BUx0uSkCxiYmLgcDgUX4/aO2si\nIiIiomik1uWho+X4X6tFFfcxNWzY0G/bcE+EcS+axsfH+20rPi8IAi5duhSR7yEipah1eXytbP+j\nff/H/MwPMD/zWz0+Mz/zK4n5mT+a82tlsopax/9ayU/K6du3LypVqoRLly5h9uzZ6NevX5k2+fn5\n+PrrrwEAPXr08JhAF8l4hR2Sjc1mU3SmqVZ21kRERERE0SjcZ5rx+J/8cb/Kq9Pp9NvW/XneSpmo\n/MJ9pq3Wtv/Rvv9jfuZn/hRpmfmZn/mZXynMH935tTZZJdzH/1rLH4jaV9DR6xV2kpKSMHr0aADA\nDz/8gM8++8zjeZfLhUceeQT5+fkAgOeeey7sY1QLK1UkK6VmmmptZ01EREREFI3CdaZZtB3/a7Wo\n4j6mrKwsTZ3ZlJiYKD0uKiry2/bSpUsASibrxMbGKjouokgVrjNttbr9j/b9H/MzP8D8zG/1+Mz8\nzC8n5mf+aM6v1ckq4Tr+12p+f7RawwGg6LiysrKwefNmadn955aVlYUvv/xSWo6JiUFmZmaZPp59\n9lmsXLkSW7duxf3334+VK1eia9euKCwsxIIFC7Bp0yYAwL/+9a+ouR0WwAk7JBP3X0q5d1pa3VkT\nEREREUUjpYtW0Xj8r9Vij/uYUlJSkJqaquJoPKWnp0uPT506hRYtWvhsm52dXeY1RFR+Shfttb79\nj/b9H/MzP8D8zG/1+Mz8zC8H5mf+aM6v9ckqSh//az0/eVqzZg0eeughr8/98ssv+OWXX6TlhIQE\nrxN2EhISsGLFCgwbNgwrVqzAZ5995nGlHZPJhGeeeQYvvvii/AE0jBN2SBZOp9NjIyrXTkvrO2si\nIiIiomikVNGKx/8UrKuuukp6fODAAfTq1ctn24MHD5Z5DRGFRqmivV62/9G+/2N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HjkWV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          }
        }
      ],
      "source": [
        "init_par = np.ones((nx_grid, ny_grid)) * 0.5\n",
        "init_design = make_adjoint_sim(init_par, beta=beta_min, unfold=True)\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(12, 4))\n",
        "init_design.plot_eps(z=0, ax=ax1, monitor_alpha=0.0)\n",
        "init_design.plot_eps(y=0, ax=ax2)\n",
        "plt.show()"
      ],
      "id": "6d6aa96d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We will also look at the collection waveguide mode to ensure we have\n",
        "considered the correct one in the `ModeMonitor` setup. We use the\n",
        "`ModeSolver` plugin to calculate the first two waveguide modes, as\n",
        "below."
      ],
      "id": "dedc25c8-8e99-4063-8b21-f76b60e7128c"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:36:25 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-8f65754b-ca95-4db5-8815-3f8fe76239e9'</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-a991b77b-25ae-4af0-920d-f77a3643893b'</span>.               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"ecce93c8478a4146a32d6c6786370c1a\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"2a3c5a13402d48408b0be2b067aa381a\",\"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\">19:36:47 UTC </span>Mode solver status: queued                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:37:09 UTC </span>Mode solver status: running                                        \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\">19:37:15 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",
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        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        }
      ],
      "source": [
        "from tidy3d.plugins.mode import ModeSolver\n",
        "from tidy3d.plugins.mode.web import run as run_mode_solver\n",
        "\n",
        "sim_init = init_design.updated_copy(monitors=[field_monitor_xy, mode_monitor, flux_monitor])\n",
        "\n",
        "mode_solver = ModeSolver(\n",
        "    simulation=sim_init,\n",
        "    plane=wg_mode_plan,\n",
        "    mode_spec=td.ModeSpec(num_modes=2),\n",
        "    freqs=[freq],\n",
        ")\n",
        "modes = run_mode_solver(mode_solver, reduce_simulation=True)"
      ],
      "id": "3ff9ae9d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After inspecting the mode field distribution, we can confirm that the\n",
        "fundamental waveguide mode is mainly oriented in the `y`-direction, thus\n",
        "matching the dipole orientation."
      ],
      "id": "64864ca7-bb30-4830-9a70-699459ee34c5"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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sMS1Y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\n1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Hub5dO7bl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4kMDg5GdHS0U2+YJPeoVasW3nnnHXeHUWz523VG24NGOv3MqMdVsbLtSkRERETkPVzSQelt\nUlNTAaDQhZCrBQYG6p9LcuezGfW4ItZKlSoZyk9EREREpPLEE09g27ZtuPXWW9GoUSNUrVoVlSpV\nQmpqKvbv349vv/0WBw4cAAC0bNkSr7/+urScl19+GatWrcKRI0cwaNAgjBs3Dj169EBqaiq++OIL\nrFq1CgDw4IMPolevXqbF7+Pjw85J8gh5bUHAue1BM+pxVaxsuxIRERF5h9yRf9wdBbkbOygl8u7m\nFsLxHpJ/eknei2FGPa6KtSyymPQIOXk/5bZgkR8iLRZfRTmqfUuTpmbnpEnTc+zJ+me7diWPpmXK\nS9fk7+TNypHfQW61+kvTLZDPl81WOL+PogybVV6GVbHMbIqfIYti2RslRI403Y7C6ZqWLc+rSM9R\nrA+7XZ4uIC9HtV6FkG83Qtjl6dbcecq//ajJy1Ztw6ptXvXLY1Esd553lm1Gf1cFtwin0YTFnCFe\nTShDpnbt2li6dCnmz5+vzGOz2TB8+HC89dZbCA0NleYJDQ3FmjVrcNddd+HPP//EO++8U+jpt7yn\nLN3Nbrdj27Zt8PHxwfXXX+/ucKiMyP8UsjPbg2bU46pYyUyq80LVOrEZKl1djjGqcoyny+O3qpaD\nIt2maFP5KJaPTRGPTTHKgE3x0+xrlU/wtcjP+32t8v3QzyZva1gDFBX752sX+srn3WP5ytucVh/5\nslFtsUaGeVflVZWtikUVu1fIv53k235U25hqm1Rtw74WRbri98SmyK/eB+XlKPdxxTFBdQxRHnMU\nxyizjoFGmmaqMlTXMFS/D6pdR32aoCqfvJlZQ7zSFbNnz8acOXMKpWdnZzucfnU+V/HiXzTnCQ4O\nRlxcHNLT0x3mS0u70nEQHBzslnpcEaujIWETEhKKfIcIEREREbmOgDnNd2d1Ic+ePRsvvvgi1q1b\nh7///hsxMTG4dOkS/P39ERERgTZt2uC2225DtWrViiwrMjISW7duxapVq7By5UpER0fD398fDRs2\nxF133YWWLVuWKtaEhASEhoYiJCREOjxkeno6nnrqKZQrVw6zZ89WlpOcnIwbbrhBWQ5RSeRv1zmz\nPWhGPa6KlW1XIiIiIu/BJyjNl52d7bCTsajprmZqB+XGjRtxww03OOUuxwMHDqBSpUqoWrWq6WVf\nrUqVKjh9+jTOnz/vMF/+6VWqVHFLPa6IVXXXOhERERFRSVSqVAl33nkn7rzzzlKXZbPZ0L9//0Lv\noHSFzMxMzJs3DyEhIQ47KMmznD9/HnFxcWjatKnpZdvtdmzZsgXdu3c3veyr5W/XObM9aEY9roqV\nbVciIiIiuhbVr1/f1DZxkyZNTCvLEVM7KJ9++mmkpaVhypQpuPPOOw0Nc6By5MgRTJ06Fd988w3+\n/PNPl3RQNmnSBDt27EB0dDQyMzPh7y8fyvDYsWMFvuOOelwVKxERERF5ByEsThuelagsOHPmDDp2\n7Ih77rkHU6ZMQYMGDUpdpqZp+O677zB16lQEBQVhx44dJkTqWKNGjWC1WqFpGo4ePeowb157MCQk\nBNWrV3d5Pa6KlYiIiIi8g5nvoOSDmMAdd9yBO+64w91hGGbqo44NGzbEwYMHcffdd6NevXqYMmVK\nkY0PmdTUVHzxxRe4+eab0aRJEyxatAihoaGoXLmymeEqdezYEUDu467bt29X5tu6dav+uUOHDm6p\nx1WxEhEREZF3yBvitbR/bORRWVW5cmWEhobiq6++QpMmTdCnTx989dVXBYYWLa4jR47gpZdeQr16\n9XDPPffg0KFDaNiwoROiLiwgIEAfxjh/e+9qQghs27YNQMnagmbU46pYiYiIiMhbWCBM+iPvZWoH\n5aJFi/D999+jbt26OHHiBF555RU0aNAALVq0wOjRo/Hxxx9j27ZtOHLkCGJjY5GcnIxTp05h165d\n+PHHHzFp0iT06tULERERGD58ONauXQsfHx+MHz8eR48eRZ06dcwMV2ngwIH605+LFi2S5tE0Dd9+\n+y0AoE2bNoiMjHRLPa6KlYiIiIiIqCyoU6cOjh49iqeeegpWqxVr1qzBsGHDUKVKFfTu3Rsvvvgi\nli9fjl27duHUqVNITk5GbGwsDh8+jG3btuGjjz7C6NGj0bx5czRq1AivvfYaTp48iXr16mHx4sXK\ndpkzDB48GABw+PBh/P3339I8a9asQWxsLABg0KBBbqvHVbESEREREZF3MHWIVyD3UdIBAwbgo48+\nwgcffID9+/dj37592LdvHz766KNilxMSEoJhw4Zh/PjxLn+RfY0aNXDnnXfi22+/xccff4wxY8bo\nd3vmmT17Nk6dOgUAGD9+vLSc2NhY5OTkwGq1St+dYUY9ZsVaFlh4t0QuE4ZWdgkhfy5Dth6Fm57h\nsFjk93AYTVfRRJY0XWgZ+T5n6p99fIKl+QN85U+XB/vK39lTEfKhskNFiDzd169QWgU/+byGFM4K\nAAhS/NoEWOXr1leRrtq6VVtItib/RoYkPTVHXkaifDUhKUuTpsdny78Qb0mUpidA/h6mlOyL0vSM\n7MvSdHtOCoCC249mlQ/7bbXIV4hy21bezyRPV+zeTmf4d8DLj5fezuj6ctdvgTfShDlD5Zg13A6R\nJ6pYsSJmz56NsWPHYvbs2fjyyy+RnJyMdevWYd26dYbKatmyJf7v//4PDz74IPz8FCdDTvLwww9j\n5syZSE1NxdNPP41169bBZrPp0zMyMjBx4kQAQHh4OIYNG1aojOzsbFy+nHt+ERQUhPLlyzulHjPK\noLLP+PmowfJhk6ZbFeVbLIr8inSLUJSjSPdRnI/arPJ0X0W6TXFapUpXLU1NMUS8lqE4KUhOzfef\nDHked8vKlqenyJ+az06TL50sxbLJEfJ2oZG8WUK+PaliCVDErpxXP98iY3OZtHzbSb7tR7WNqbZJ\n1TZsdF9Q7lOKdB+7PF257yuOacpjiOoYpSpfkd8o1TFWFr8wsM0TFYVtTjL1Cco8fn5+GDt2LPbt\n24eNGzdi1KhRxepkDAkJQf/+/bFgwQKcPXsWc+bMcXnnZJ4ZM2agcuXKyMrKQs+ePfHxxx/j2LFj\n2LNnD5599lk899xzAIAbb7wR9957r7SMrl27olq1ag6H+DGjHjPKICIiIqKywbxhcrykE5+oFOrX\nr48PPvgA586dw9y5c9G3b19pB93VGjRogEceeQRbt27F7t27MWbMGJd3TgJAREQEXnvtNQDAhg0b\n0KdPH2zYsAGnTp3C6tWrceONN+Kff/4BkHvjqmze/vzzT1SrVg3VqlXD1KlTnVaPGWUQERERUdlg\n1qtJ2GXu3Ux/gvJq3bp1Q7du3QAAZ8+exc6dO3HhwgVcunQJWVlZCAsLQ3h4OBo0aIDWrVvDanVK\nn6lhUVFR+OmnnzBkyBCcO3cODz30UKE83bt3x5IlS/QhVt1Vj6tiJSIiIiIiKouCg4MxZswYjBkz\nBna7Hbt27cLRo0dx6dIlxMbGIiAgAOHh4ahatSratm2LatWquTtk3ZNPPonY2FhMnz4d69evx/r1\n6wtM9/HxwcyZM0v9RKIZ9bgqViIiIiKia8W///6L/fv3u6Suhg0bomnTpqaV5/QOyvxq1KiBGjVq\nuLLKUrn++uuxb98+zJ8/HytXrkR0dDT8/f3RsGFD3HXXXbj77rsddqiGh4cjISEBISHyYRPNqses\nMoiIiIjI+wmYM1QOR9uha5XNZkO7du3Qrl07d4dSbK+99hpuv/12fPTRR/jrr78QFxeHsLAwdO7c\nGQ8//DBatGih/K6fnx8iIiIAABUqVHBaPWaWQUREREReTgBCMYwzGfPDDz/g+eefd0ldEyZMwIwZ\nM0wrz6UdlN4oNDQUEyZMwIQJEwx/d/PmzS6px8wyiIiIiMi7XRmitbTlUB673Y4//vijUHpKSorD\n6VfnI3Km9u3bo3379oa/16FDB5w/L38ntpn1mF0GEREREXk3s4ZnvdbbrgEBAUU+JGeWwMBAU8tj\nByUREREREZEDKSkp6NSpU4mnExERERERETnDk08+iSeffNLdYZQIOyjJY1lMuPPfq1xr7wdVza8o\nfM+LalsQZt0fY1ENf2yTplot8kOnRZkuL1/Y5fcJ5Z+v/HPo61Nemj/Et6Y0vaYWJU8vFyBNr1FO\nvpxrBOZI8qZK81YuL08PqpglTferKK/TEqhI91Usy2zFskyXbyNZCYXTUxP8pHkvJwdJ08+mye8Y\nOpsuX75n0/yl6WfS5EOpnfGVx2MX8mWZk5P7dE7+7ccC+fKyWuVlCyFfjqo9xK7Ir9ynhF1RkjGG\nfx+8/fhqVvyS46s3MbreTfuN8EKaMGmI12t3ERIReS1Pa0erzkedXb7VpHpV5avSfRSX2XwUbUvV\n+rIpVqPqtNBqMF31xEqWXR5nVoK8IL8TF678J+xKG8N6Olpeb+1aipqdx3ripDRdO5sgTU9Okrfn\nknMUy0akFzuWLFG4bZ1btqJORSxBitiV89qoQZGxmU21DYhzl6/8J/bK9qPaxlTbpGobNrovqPYp\n5T6o2GdV+7jqmGD02GKU6hioOfGYrIpdmPaMnDFOv5ZIpWbWq0nIu7GDkoiIiIioDBFmdVCWvgiv\nFxgYiLffftu08vz95TerEBERERERXWvY5iR2UBIREREREUn4+/t77VA5RERERERERJ6MHZRERERE\nRGWIACBMGeLPs4YJJCIiIiIiorJDE2a90sacYsj12EFJRERERFSG8B2URERERERE5OnY5CR2UJKJ\nLMoXEF+TVG/adhvnvQjbVJbivzzbovgVU73w2uj2abEoXlpukR86fW3lpOk+Vvn7puy2IGl6jj0p\nX11XXrRus/hJ85dHJWl6eIC83shg+XJoVD5Dml43PL5wnfXt0rw+9cOk6agZIU0WYZXl6eUryMtR\nvNneorgSb01OkqaXi71cOO3MBWne0KOx0vSIoynS9IqXQqXpPtYAaXqmJl9PiVny9ZpoOSNNz9tW\n8m+fAX7y5WtTbMM5WqY0PduepqgzR5putFPD8D5r+PjqJcc/FP/4VyJGl5uX906ZeU7i3UuCiIg8\njqHfZO84j1G1ndRUbS2j6TZFujnlWxVxWiGv1ypU+eXr3EdRr02xjdgUm45N0Tg2ejaUmSOfr6Q4\neVvGtutKe8taK1X/HOBzVJrfmpRcKE1UVLT9fOVtFku6vN2KS4XbrQCgHZe381IOyNsy0UkVpemX\n5U0lpFpT5RMM5L2cGayIRZ4efEDeRg22HpOmW5PkbVeEy9uuIlCyvrPly8uSIG9z45R8uWceurIM\ntOgr302KC5TnV2yTKqptXrWPqPcpY/usVfEUmPKYoDh2qY45Zh3TDB8zJfEIxTyp2rOqsoWQX1dy\nH2Pzpfwt9/J2tCsJmHNjbV5Z5J3YQUlEREREVIYImNPdzUYeERERERERETkLOyiJiIiIiMoQISwQ\nJrzL41rvoExPT8ezzz7rkrrKlSuHWbNmuaQuIiIiIiIiT+DkcaTIC7ikg/LUqVNIT09H5cqVER4e\nbug7UVFRCAiQDyVBRERERETkDJmZmfjf//7nkrpCQkLYQekBMjIycPLkSQBAvXr14OvrW+zvBAYG\nIjIy0skREhERERGVHRwRl1zSQTlkyBDs3LkTFSpUwHfffYc+ffoU+zvbt29Hu3btXBAlEREREZH3\n08AhXs3g5+eHIUOGuKSuoCD5e6nJtfbt24f27dsDAHr06IElS5YgNFT+fq6rv9O2bVvs2LHDFWES\nERERERGVCS4d4jUpKQn9+/fHe++9h7Fjx7qyaiIiIiKia4IAoJnQu3it381arlw5LF682N1hkJts\n2LAB119/PX766Sc0aNDA3eEQEREREZUpAoCG0r+aJJdZ5ZCrubSDsnr16jh37hzGjRuHw4cPY/bs\n2bDZbK4Mgch8FncdAK1OLd3itgN74WOCUD3DYVE8H6K6oqq80mrsOROb1U+a7u9TQZpe3idCmh6I\nEGn6aZGtfw7wr6J/FkIep6+QxxPsI99Gwv1ypOk1Q5Kk6RUaF15uttZR0rxak8bSdPgVPURaqVjl\n26sIkS9jaXqtWtK8PhUPSdMr+JyWptfMki/HuEz5T+45H3m6b6Z8vaq2g7xtpVxAzSux+F8nzZuO\nRGl6cs4Fabom5NuMXcuQpkMRo+HeDuXxVb5tu++4Jac8dikZPa47+W0NquV/rfdaEVGZFxoaioyM\nDBw5cgTXX389lixZgu7du7s7LKLSsZjVfvTuazgW5XmkfL5U6TYhP4dXlW9TlaM431Kl+yhOz2yK\ndF+r/LxNtTXkCPmUhNRAafrlQ+X0z4H2K22sKskp0vwBh/4tlGYLVkSjSBaZ8nPg7AT5QkiIlcce\nnSRvK/6bIn/NVEyaXZqejDhpupG8MWlh8lh8Fa+8OivPX0ux3Cv+Gy1N960ob9Na/CULX9H0sKfI\nJ2TEy7f5i5evLPf0fyvrn22KbVW1Taq2YdU2b3yfMrZvqvZx5TFBeQwxdixSle8dVL8nBtu5qt83\n1XUJ8ii8vEAuPYp98803+jBJ7733Hm6//XYkJye7MgQiIiIiojJNmPhHdC2qW7cuNmzYgIiICMTF\nxeHmm2/Gp59+6u6wiIiIiIiIyhSXdlAGBgbi+++/x8SJEwEAP//8M7p27YrTp+V37BARERERkTFC\nWKCZ8Cc87KlkIlfq0KED/vrrL7Ro0QJZWVkYOXIkXnjhBQje5k1EREREZArNpD+eoXsvlz8HbrFY\nMH36dHzyySfw9fXFnj170LFjR2zfvt3VoRARERERERFJ1a5dG1u3bsUtt9wCAJg+fTqGDh2K9PR0\nN0dGREREROTdhAA0k/7Ie7ltoOqRI0dizZo1qFSpEs6fP4/u3btj8eLF7gqHiIiIiKhM4PCuROYp\nX748VqxYgcceewwA8MMPP6B79+44f/68myMjIiIiIiLybm59k26PHj3wxx9/oEGDBkhPT8edd96J\n6dOnuzMkIiIiIiIiIp3NZsN7772HOXPmwGazYfv27ejQoQP27Nnj7tCIiIiIiLwWb64lH3cH0KBB\nA/zxxx8YPHgwNm7ciBdeeAFHjhxBVlaWu0Oja5XFXe9bMud+AYtZ74uyuPX+hQKUcyQUUxTJQmiq\nggzltyiWjb+tgjS9mlZPmt4osJI0vZwor3+O8q2tfz6Stk6aP91PNcxYqDQ1wCaf38By8uOuLaJ8\noTRRs7q8Sj9fRSxeQBG7al5tMZel6YHlkqXpquWukm6Rr9eM7DhpesNyvXKn+1fV01r4V5PmPZwu\nLyPLpqgzJ0GartpHhGqfUqSr9ikLbNJ0Tzo+OWJRHnOMUS03478b5sRj+HeS72tzObOGueGqIypo\n3LhxqFevHu666y5ER0eja9euePrpp90dFrmQaW0tj6I4DzPpfMvZ5RhNV7GqloMi3ao4T1WVY1Vs\nO6rTKh9F+Kp0P0W6v1X+Y17Oxy5ND/LNlhekcCjxShs4NCVI/3wsJVgeT3TheHytxs5RszX5zKbZ\n5QszMVu+rmIz5eWfT5MvmzM58dL0FO2CvCBZXrs872kRLk3XEuRt+risAGn6sVR5ekisfJ7KKdqo\nRtaJan1kavL1YcvXtonPt/00C02U5ldtk+k58kva/tnydNU+YnRfU+2zqn1cfUyQb5fqY46xY5pp\nx0wD7QFVGeprcUbLUX3DpHaum6jOLdTXAcoWDs9KHnGFr1KlSli7di0eeOABAMCnn36KvXv3ujco\nIiIiIiIvJJDbTC/tH9uKRIX17dsXW7duRWRkJJKTk/Hyyy+7OyQiIiIiIiKv5BEdlADg6+uLhQsX\nYvr06bC47Qk2IiIiIiIiIrXmzZvjzz//RMeOHd0dChERERGRVxLIfTLWjD/yXi4Z4vXll19GbGws\n6tSpU2TeiRMnokGDBli4cCEAoGLFik6OjoiIiIio7DCrkcaGHl1r6tSpg4ULFyIsLKzIvBEREdiw\nYQOeffZZnDhxAg0aNHBBhEREREREZYdZA/Sy6eq9XNJBeeuttxrKP2TIEAwZMsRJ0RARERERlV0a\nLNBMeE8aG3l0ralcubL+2pHiCAgIwPvvv++8gIiIiIiIyjC+g5I8ZohXIiIiIiIiIiIiIiIiIir7\nXPIEJZFHctu7Ts25L8Bi9MkIi1n3Ixgrx2JavYUJxUAAFmWMdnk5IkeerqVL03PsGUXGll9VWwVp\n+m015fW2Tquuf64SHq5/PnehmjR/ghYtTU/PkefP1OTbjqZIl7JdQ/e3GJxX1XJULff0HPntYqr1\nGhwgX6/9/9tW2le/sl3VKpctzZt4XL5NnlKMraHa5lX7iGqfsljkpx0Wi01esWJfduZxBQCEMDrI\niCK/0TgV9aqO98Lw822qeMwaVEVB9XvL8UOdxrQhXktfBBFRmaL67TXcNlMdpKW/mcZ+p4Xq/El5\nfiNPV5Wjjkee3646v1GdJ2mKeBTlaJr8vNNuzZSm26xZ8vxCnj/LKj/fzbKkSNMzrCHS9HQhP/9O\nzSkvT7eXk6YnZfnK07Pl59kJWfL0+Gz58q+tKKdeSJI0/bZOJ/TPllpXtmuf8vJ9whpSOH5LgLFL\nkyJV3sbJuSxPT4mRL7Poy/J1dTg5UJrul1hJmp6cXaNQWiKOSvNW8CmcFwDq+srLbhoiX46NyqdJ\n02tVTpSmB1eTLxufyvJlYwmSp8uIDPk+qCUq1lPyle1EhJ7UP588HCrNfyxRvu+cTpfHeD5dvm3H\nZsqPu3GK+BNz5PEnCfmyT7EmS9PTLfJ9J0OTr6ssobgOpcnrzdEUxzRNfkxTHTM11XUxSbo6r+r3\nQXUtztjvkqq9rKJuL5vU/jWpPWu8XV92CLDNSeygJCIiIiIqUwTMaXazsUhERERERETOYtoQr2y8\neq1r6BEYIiIiIiIiIiIiIiIiInI3PkFJpvGx2WBx27CpJeD1Q7wa/YK7hnh13nIWwlgsqtEXhGKC\nVbHMbDZ5fmGRD8WRYomVpp+Wj8SBCzlXDs3n91zSP++5sEea39ciH4KmfECAND0oXD68hl/8BWl6\nxZDgQmminGLIyYryYVm8mSUhXp6+R74+EvbIh3vaEx0hT78kH950T4a8/GzFkC97IgoPCySy5EOv\npKhG3FRsw8ptXrEPakI+T6qhXNVDtqqGeHXu8dvoscW8ip2a3QE3/R560RCvQgjk2OX7kyfSYM6d\nqF60ioiIDLGZ3HY1PMSrsiAzylGcPxktxrTzM2M1WxXZLRbF8LoW+ZgBVou8zWOxKl5FoKxYPkyi\nUGS3K853sxVnbpkW+TCSaRb5cI5WxWU8q1Bc3pMvBgjFayZU7Qd7eqo0PTk+3/CV8VfaL2VxiNcD\nifJltif7WOGyE3dL88aHyNvLFl/58s1RDPGaWV7ebotXDfF6yTOHeM0vRj5LOJMlv3ByPke+3Vy2\ny5dZguK8Nhny+NMs8vRMyF9/kq3YZ+0W+bpVtb0B+THHYpUvT4sifqtq51ccMy2KE39ZsuJwDPXx\nXnH9yGi727T2skm/2R44xKsQAna7Yt17KGHS+mDT1Xuxg5KIiIiIqIxhA42IiIiIiIg8ljBxiFfy\nWhzilYiIiIiIiIiIiIiIiIhchk9Q0rVL9Si+lwxTq7rBRBm9kA/joKQc0sdYOeYMlWi0TkV+oRjm\nR7XULPJDpGr4ohxNPtRHtOWiNH1ZdOEhOQEgDvIhRVMyzkjTw8o1k6Zn2uXLIS5LPuzQ+bgK0vSA\n3YXjCYB8yBpL4yhpuhYlT/ck1pMn5RMOydMzdsuHzzkfJx+2R7XcVevJZvGTpsen/ytN//nSpUJp\nlVBemveCJU6artqGlUN2qfYRxb6m2geVxzPVULTKO+zMuu/K4PFSxehxV1WMKaW4EccJdTnNpDtR\nueaIiIrH6PBsyvaHkd9MZbtVfv6hLllx/qQ4j7Goylee0KmGmlO8KkAxXCFUrxCAPF1TtGctmny4\nyBzF0Kw2xTCM2Vb5EJgZ1mRpuq9VPmxoilX+Wo4AS+HXbABAoF2eHp9aTppeweYvTU/Mlp/HZ9rl\n8xURKF+eATfUkKZrbVtJ0+FbuHyzzjd8suVDYFY6LG8/hew4Lk2vuFM+xGaWJm/nnb1UtVBatDQn\nEGYvnBcA6leSL9+O4fJrAzXbyocTtbWrK03XGjWQByRZH4A568SqWB8BO+XXErKPy4dCPZUmj/Gs\nfBHgsmLI2SS7fL2mKoZmTbfKX92SIeTpOUIx9KtdfgzRFMciuyZfbnYhTxeqNrYyXfUboTpWF05X\nvSZJ2Y422C42vv2Z1X73vCFbyzoBPkFJ7KAkIiIiIipThDCnfc2+ZSIiIiIiInIWNjmJQ7wSERER\nERERERERERERkcvwCUoiIiIiojJEwJyBjng3KxERERERETkLh3gldlASEREREZUhfAclERERERER\neTIB897Zybar9+IQr0RERERERERERERERETkMnyCksjlVIOumXO/gOqOEYvhggwODmdRxW/CIHOK\nWNR3x6jyy79hUS4deTmaliNNz8hJkKZfwlFp+mXYpOlp2ZcV8cjz+1gCpOlZisdnErPl83s+TV5O\nuTPBhdKqIFGa1y/xkDTdeuaCNB2VQ+TpQUHSZOEr/9myZMvXCVJT5emXC8evnY2XZs06mSlNvyhZ\nLoB6OaqWu2o9qdarajs4nrmtcCy+laV5NdjlseQky/Mrtnmj+7d6H1Tss4qdXHk8M3ygM8jocdFo\n8U4tHTBn0E/yBgLmbE+8C5WIiIpN2R40rQJT8lssqnRz4rcYbNdbVXEKRboiv01Rr49VkV+xOH0U\n6ek58nZYxsaz0nT/C/L2oqV6pcKJwYHySlVS0uXpFxOkydknkqTpscfKSdP/TSwvTT+vqDbZKp9X\nI3nPp8vrVMXit1vengtL+Vea7ntK0R6vUlGebmSdKNaHOBcnTc84lCJNT88Jk6artknlNqza5u3y\nfUS1T6n2QdU+q2L0mKAsx+A1N6GI30ENBvMbKVoRu5Pb1+QdOMQrsYOSiIiIiKgMETBpiFc2FomI\niIiIiMhJ2OQkdlASEREREZFL2e12/PPPP9i2bRvOnj2LmJgYCCFQtWpVXH/99ejfvz/8/PyKXd7v\nv/+On3/+GWfOnIG/vz8aNGiAoUOHIioqynkzQURERERERCVi1o215N3YQUlEREREVIbkDvFqxjBN\nzhnqaebMmZg+fToSE9VDokVEROD999/H0KFDHZZ1/vx5DB8+HGvXri007fnnn8dzzz2H1157DVar\ns4ceJCIiIiIiorLo3LlzOHDgAGJiYnDp0iUEBwejQYMG6NixI8qVkw8ZrrJ//37s3LkTly9fRnh4\nODp37oy6des6KXLPxw5KIiIiIqIyRBMmDfFa+iKkDh48qHdOtmvXDn369EH9+vVhsVjw119/4bPP\nPsOFCxdw5513YsGCBXjooYek5aSkpKBv377YvXs3rFYrhg8fju7duyM1NRWLFi3C77//junTpyMt\nLQ3vvPOOk+aGiIiIiIiIDBOe/VoRu92OsWPHYsOGDThy5Ig0T0hICMaNG4fJkyfD39/fYXmHDx/G\nqFGjsHXr1kLT+vXrh3nz5qFmzZqmxO5N2EFJREREREQuY7FYMHDgQLz00kto06ZNgWkjRozAk08+\nie7duyMmJgZPPPEE+vfvj2rVqhUq57XXXsPu3bsBAF999RXuvvtufdr//d//YcSIEfjyyy/x7rvv\nYujQoejSpYtzZ4yIiIiIiIiKTTOpHGf0c2ZnZ2P+/Pn6/yMjI9GlSxdEREQgNjYWq1evxsWLFzFt\n2jRs2rQJq1evVj5NefDgQXTu3BkJCQnw9fVFv379EBUVhYMHD2Lt2rVYuXIlOnfujD///FPa9i3L\nONYREREREVEZIsSVpyhL8+esu1lnzJiBpUuXFuqczNOgQQPMmjULAJCWlobFixcXypOcnIz33nsP\nADBgwIACnZMAYLVa8cEHHyAkJARAbmcmERERERERkRFDhgzB77//jpMnT+Krr77C7Nmz8fnnn+Pk\nyZMYNmwYAGDLli2YMmWK9PuapuHuu+9GQkICQkND8ccff2DZsmV45513sHr1aqxevRr+/v6Ijo7G\ngw8+6MpZ8wh8gpLoakavxlnMej+T0XtGjN1fYPQao+G5Embd8yIp2qRyLIq5EqoaRI402W5Plqdr\n6dL0zOw4efEiS5pusfhJ04P85XfQ+FoC5PVq8vjjMuWH/jM2X2m6XVQolJaUJY8x7IJ8GQRXuChN\n9w0+L023BSq2QJs8GXZFcrp83WanFN5/UpLkQzHEplaSpl9Ily/3mAz58o3LlCYr15OvVV5+Ob9w\naXpqZkyhtITsS9K8qm1MSbEvCMVxS7VPqfZBo1THBIsTj0Ml4fyRStw0v548BgsByHsHpTnlOENE\nRESReXr16qV/PnDgQKHpP/30E9LTc39zVEPAli9fXh8mdv369YiPj0doaGgJoyYiMs6scx9zGGs/\nmhe5vF6Lsh2tOuF3D4tFFb9n3e+vKX61NcWY7zmKH/lURbvqXLq8rWQ5WlmaHn5e3i4sF3S2UJpv\ngKJNoTjVzc6UL/u0VHmMl1LDpOlnFPN0MlW+DZ5Nk7ffk4W8zWUk79m0KtL0QB95uy1Tk5/P1EyR\nP7kTfjRNmi5bHwDg61944as2+ewMg+sjRb7NqLYx1Tap2oZV27xqH3EXw8cWoVgQTld4f7BY5LEI\noTouGmu3qn4d1GvQnHrNYvja4zVMwJxXk+iFmczHxwdbtmxRjsQTGBiIhQsXYvv27Th8+DDmz5+P\n119/HX5+BY/d33//Pfbs2QMAmDVrVqEbdXv37o0JEybglVdewapVq/D777+jc+fO5s+Qh/KsMyoi\nIiIiIrrmZWdn65+FpFN806ZNAHIvcHfr1k1ZTo8ePfTyfv/9d3ODJCIiIiIiohITwpw/Z/Dx8Sny\nNSE+Pj4YOHAgACApKQlHjx4tlOfrr78GAISGhuL++++XljNu3DjYbLYC+a8V7KAkIiIiIipDzBje\nVROueApYbf369frnJk2aFJq+f/9+AED16tX1YVxlGjdurH+WPYlJREREREREVFIBAVdGQMsb5SeP\nEALr1q0DANxwww3w95c/LV6lShW0bNkSALBmzRonReqZOMQrEREREVEZY84QQrllZGVlIT4+3mFO\nM4dOzcrKwowZMwAAfn5+GDx4cKE8Z8/mDklWo0YNh2Xln37mzBnTYiQiIiIiIqLS8awX9ZTM9u3b\nAeSO7hMZGVlg2okTJ5CamgoAegekSqtWrbBr1y4cO3YMGRkZBTo+yzJ2UBIRERERkdLy5ctRqZL8\nfbx5ZMOwltTEiRNx+PBhAMDjjz+OWrVqFcqTnJz7PuigoCCHZeWfnpKSYlqMREREREREVDpmD8+a\nnJzs8OZaM2+sBYB9+/Zh9erVAIDOnTsjLKzge49Pnjypf5a1a/OrWbMmAMBut+P06dNo2LChqbF6\nKnZQEhERERGVIXlDtJaWs97l4cjnn3+Ot99+GwDQunVrvPbaa9J8WVlZAHLf+eGIn5+f/jkzM9Ok\nKImIiIiIiMjTyEbfyc/MG2uzsrLw0EMPwW63AwCmTp1aKE9SUpL+uUKFCg7Lyz8974bcawE7KImI\niIiIyhABc94fmVfGgAED8Omnn5pQomOrV6/GQw89BCD37tEff/xR+Y6OcuXKITExschOx/zvACnq\naUsiIiIiIiJyDQHzhnh1w721ePTRR/Hnn38CAMaNG4eePXsWypO/Papq28qmX/0uy7KMHZRERERE\nRKTk5+dn+lA4V9uyZQsGDx6M7OxshIeHY+3atahdu7Yyf0hICGJiYpCQkOCw3MTERP1zUXesEhER\nERERkeuY90RjbjlLlixBjx49TCpTbdq0aViwYAEAoFu3bnjrrbek+fK/RzJvFCCV/DffXivvnwTY\nQUlEREREVKYImDTEa+mLKJYdO3agf//+SEtLQ2hoKNasWYPGjRs7/E69evVw6NAhnD592mG+U6dO\n6Z/r169vSrxERERERERUSia9miS/8uXLO/3m2rlz52LSpEkAgDZt2mDFihXKpyONDNuakpKify5f\nvrwJkXoHq7sDICIiIiKia9PevXvRp08fJCUloXz58li1ahVat25d5PdatmwJAEhISMCJEyeU+f7+\n+2/9c4sWLUodLxEREREREV2bPv/8c4wbNw4A0KxZM6xevdrhSD2RkZH65+joaIdl5023Wq0ORxMq\na9hBSURERERUhghh3p8zHTlyBL1790ZcXByCgoKwcuVKdOjQoVjfveWWW/TPK1euVOb75ZdfAACV\nK1dGx44dSxcwERERERERmUaY9OcKixcvxoMPPgghBBo0aIB169YhLCzM4Xfq1q2LwMBAAMC+ffsc\n5s2bXqdOHf071wIO8UpUWkav3lksJlVs9DXCxu5HcMfLhc2jmFeLfJlZYGydqJaNReTI062+0nSb\ntaI03c8nWJrubzP2eH+ayJamX86QH/o1YZOmJ2cXzh+TIY8xJKWcNL1crHzZB9jk6X5W1bqSU62T\nLE2+LWTYC6enSdIAIDFbnp4sX7xIyJJHE59pl6ar1pOKajvQ/AqXn5WTIskJaEL+sm2hyWMxejyw\nWIze/2TO/VLefdwCzHs9vEHO7oUil9NgztbkzC3j5MmT6NmzJy5cuICAgAAsX74cXbt2Lfb3u3Tp\ngnr16uHYsWN477338NBDDxUaVmf37t1Yu3YtAODee++FzSb/nSMiIlIRQv6LqkxXtDmhyK9Z5G2E\nHIv8vDwL8vdX+Qh5Gy9V0R6yZEqTIRRtwnS7PP1iZpA0PUjRLgywFj67sFnkZxyqc5lsTd4qVLbn\nFK/8isuU13spQ75wzlkuyOvNuSyvwEDes77npekiMUKanpDpJ00/7S9f7iFJina6oj3uK1lPqhab\nXcjXR4ZiPaXmyNOT5ZdTkKxoXydlyfedVE1eUKZi38myyNNV+6Am5PWq9nGh2JKNHluIyiKzXk2S\nV5Yz/fzzz7j33ntht9sRFRWF9evXo2rVqkV+z2q14sYbb8TKlSuxadMmZGdnw9e38HXiuLg47Nq1\nCwDQq1cv0+P3ZHyCkoiIiIiIXObcuXPo2bMnzpw5Az8/PyxduhQ33XSToTKsViumTZsGIPdJzJEj\nRyItLU2ffvToUdx5553QNA3ly5fHCy+8YOo8EBERERERUdn366+/4o477kB2djZq1qyJX3/9FbVq\n1Sr29++66y4AQGxsLL777jtpnvnz5yMnJ6dA/msFn6AkIiIiIipDhDDnTlRn3YX6yCOP4Pjx4wCA\n6tWr46OPPsJHH32kzN+yZUtMnjy5UPqdd96Jbdu24Z133sHXX3+N1atXo0OHDkhNTcW2bduQk5MD\nHx8ffPfdd8W6u5WIiIiIiIhcx6wnKJ1l27ZtGDBgADIyMlCtWjX8+uuvqFOnjqEy7r33XkybNg2H\nDx/G+PHj0a5dOzRq1Eif/scff+DVV18FAHTv3h033nijqfPg6dhBSURERERUhpj2/kgnNRaTk5P1\nzydPnsTJkycd5k9ISFBOe/vtt9G8eXO88sorOH36NFatWqVP69SpE9577z20a9eutCETERERERGR\nyYQHv6zn4sWL6NevH1JTUwEAvXv3xg8//ODwO4MGDSrQ+QgAPj4+WLRoEbp164aLFy+iTZs2uPPO\nOxEZGYlDhw5hyZIlyM7ORkREBBYuXOi0+fFU7KAkIiIiIiKXmTp1Ki5dulTs/BER8vcv5Rk1ahQe\nfPBB7Nu3D9HR0fD390eDBg1Qu3bt0oZKRERERERE16C4uLgCN8t+/vnnRX6nfv36hTooAaBNmzbY\nuHEjRowYgf379+PTTz8tML1Tp0747LPPDD+dWRawg7KYDh48iDNnzsDf3x/169dH9erVTS0/ISEB\nZ8+eRUxMDIQQqFq1Kpo2bQqbTf4icnfGSkRERESeS/vvr7ScdS9r9+7dTS/TYrGgRYsWaNGihell\nE3mTlJQUHDhwAHFxcQgLC0OzZs0QGBhoWvmapuHcuXOIiYnBpUuXEBQUhAYNGpSozensWImIiIjI\ncwl49hCvlStXxoQJEwx9p3Hjxsppbdu2xd69e/H7779jx44d+jlwly5d0KZNm9KG67XYQVmEzz//\nHFOnTtXfkwPkXgC54YYb8O6776J169YlLnvTpk34+uuvsWHDBhw6dKjQ9AoVKmD48OF4+eWXUbly\nZbfGSkRERERewqQhXk0ZJpaIXCIhIQHPPfccvvrqK6Slpenp5cuXx4MPPojXX38dQUFBJSpbCIF3\n330XGzZswKZNmxAfH18oT7NmzfDss89ixIgRbo2ViIiIiLyHaW1OJ7Rdw8PDMWPGDFPLtFgs6NKl\nC7p06WJqud6MHZQOPPPMM3jrrbcAABUrVkTbtm2RmpqK7du3Y9OmTejQoQN+/vln9O7du0Tlf/LJ\nJ/jss8/0/0dGRqJ+/fqwWCz4559/EBsbizlz5mDJkiX47bff0LBhQ7fFSkRERERERJ7n0qVL6Ny5\nM44ePQoAaNSoEaKionDkyBGcOHEC7777LjZt2oSNGzeifPnyhsu32+146qmn9P/7+PigZcuWiIiI\nwOXLl/H3339j//79eOCBB7BmzRp88cUXsFqtbomViIiIiIi8h7zVQPjhhx/0Dr+hQ4fizJkzWLdu\nHbZt24b9+/ejfv36yM7OxtChQ3Hx4sUS1xMcHIynnnoKhw4dwsmTJ7Fu3TqsXbsW586dw6xZs2Cx\nWHDu3DkMHDgQ2dnZbo2ViIiIiDyfZtIfH6Ak8g73338/jh49Cj8/P3z99dc4dOgQVq1ahWPHjmHu\n3LmwWq3YtWsXxo4dW6p6mjdvjo8//hiXL1/Gzp07sXLlSvz55584fvy4PnTzokWLMGvWLLfHSkRE\nRESeT4Mw5Y9tV+/FDkoJTdMwceJEAECDBg3w+eefFxhiplGjRvjuu+9gsViQmJiIadOmlaie22+/\nHf/++y9mz55d6OWpvr6+ePbZZ/H0008DyH2v5IoVK9wWKxERERF5BwEBIUr/R0Seb8OGDVi9ejUA\nYNKkSbj77rv1aRaLBWPGjNE7+7766ivs2bPHcB1WqxXz58/H7t278eCDD6JChQoFpteqVQs//fQT\natasCQB46623YLfb3RIrEREREXkHgdwhXs34I+/FDkqJ33//XR9y5vHHH0dAQEChPNdddx169eoF\nILfxJGuAFWXQoEGoWrWqwzwPPfSQ/nnr1q1ui5WIiIiIiIg8y6effgoACAgIwGOPPSbN88wzz8Bi\nsUAIgS+++MJwHVarFaNHj1YO2wrkjgyU1+EYGxuLI0eOuCVWIiIiIiLyHuyglPjll1/0z/369VPm\ny5sWGxuLv/76yymxVKpUSf+ckJBQaLonxUpERERE7icEoJn0R0SeLa892KlTJ4SGhkrzREZGomnT\npgCAlStXOi2W4rZdPSFWIiIiInI/s15PQt6LHZQSeUPJhISEoG7dusp8bdu21T/v3bvXKbHs379f\n/1y9evVC0z0pViIiIiJyP2HSHxF5tgsXLuDixYsAgDZt2jjMm9cePHLkCLKyspwSj6O2q6fFSkRE\nRERuZsJrSfh6Eu/HDkqJvCFTIyMjHearXbt2oe+Y7YMPPtA/9+nTp9B0T4qViIiIiIiIXCN/u664\n7cGcnBycPHnS9FhiYmKwdOlSAECjRo0KxeNJsRIRERGRZ+DIP+Tj7gA8UWJiIgCgYsWKDvPln573\nHTOtXLkS33//PQDghhtuQNeuXQvlcUWs8fHxymn5h+4RJt9rb4HF1PI8hll3dViMLh9nP/Du+vsd\njG8hihgtqtjl6RaL/NBpgU1eitVXmm6z+inS5fk1xT6WJVKl6QlW+RLK1ipI05PTCr/DFgBiMwrH\n42+TLxtVup9Vvmx8rfJlqQjdMNVJSrZkQpZiF8lUvLc30y7/QpqWLU1Pt2RI01OtSdJ01XpVbQey\n7cbHJl+ndk2+njTIYxeQLwMhcqTpyuONMOc45L5zTw8bOIR3CTpk5nmJ2ec4zmZWI8275pro2pO/\nXefutuujjz6KtLQ0AMCkSZMKTXdVrMVtu5L7qZ52sFjk551QtLUc1GCoXkB+Xqsp2iUWoWhDavKn\nfrNV2RU/2MIiP+/ULPI47VZ5vRmQtwdS7P7S9IQ0ebp/uqo9J0/3USw3m+w6hiKv6lwmR5MvmyxV\nO0zI05OtKdL0FEusND3VLk/PyC7+cUqV97L1uDy/Td5WvJgZJk0vnx4sTQ+0yK8xqNrpPpIGubKN\nrtin7Iq2X46yja5odwt5eoYlU55fkZ6taI9nIV2anqPJ82cLefl2Id8HNcUxQVPMl2aw7a0+phk9\nk1flLxwPn1YjIjOxg1Iir2Hl7y8/McsTGBiof05NlV9ILqljx45h2LBhAIDg4GB89NFH0nyuiDX/\nu0SIiIiIyLMJszooee2ByKPltQUB97Zd33jjDSxZsgQA0K9fP70dm5+rYmXblYiIiMg7CKhvwi9J\nWeSd2EEp4eeX+1RTTo7qyZBc2dlX7sIqqpFlRGxsLPr164f4+HhYLBZ8/PHHaNiwoUfGSkRERERE\nRK6X1xYE3NceXLx4MSZOnAgAqF+/Pj777DNYJE9IeUKsRERERORZeFMsXTMdlCdOnMDu3bul06pV\nq4aOHTvq/y9fvjwuXbpU5N2a+acHB8uHUTAqKSkJffv2xZEjRwAAc+bMwZ133qnM74pY4+LilNMS\nEhJQt25dQ+URERERkfOI//6ZUQ4Rud5vv/2mHNq0U6dOiIiIAJDbFszjjrbrmjVrcN9990HTNNSo\nUQNr1qxBWJhi2EEXxcq2KxERERGR97hmOih//vlnPPbYY9Jpt99+O5YtW6b/v3r16jh+/DjOnj3r\nsMwzZ87on2vUqFHqGNPS0tC/f3/s3LkTADBjxgyMHTvW4XdcEWtoaKih/ERERETkPhr4Dkoib/bU\nU08pb65dsWIFbr31VgC5bcE8rm67btmyBYMGDUJWVhbCw8Oxbt061KlTR5nfVbGy7UpERETkPcwa\n4pW81zXTQVm3bl3cfvvt0mn5n54EgGbNmmHLli04d+4ckpKSUKFCBen3Dh8+rH9u2rRpqeLLzMzE\nwIEDsWXLFgDA5MmTMWHChCK/545YiYiIiIiIyDluvPFGREVFSadVrVpV/1y/fn34+/sjMzMThw4d\nclhmXnswIiKi1O9p3L59O/r374+0tDSEhoZi7dq1aNy4scPvuCtWIiIiIvJMAhzila6hDsp+/fqh\nX79+xcrbrVs3zJs3D0IIbNq0Sb9D9WobNmwAAPj4+KBz584lji07OxtDhw7F2rVrAQDPPvsspk6d\n6pGxEhEREZGHEyY19NhYJHKLt99+u1j5bDYbOnfujN9++w2bNm2CpmmwWq2F8mVkZODPP/8EAHTv\n3r1Use3Zswd9+/bVb45dvXo1WrVq5ZGxEhERERGRZyvcIiD0798fAQEBAICPP/5YmiclJQXfffcd\nAOCmm24q8Z2ddrsdw4YNw4oVKwAAjz32GGbNmuWRsRIRERGR59MgTPlj/ySR57vjjjsAADExMfjl\nl1+keb755hv9vY55+Uvi8OHD6N27N+Li4hAUFISVK1eiffv2HhkrEREREXk+s9qu5L3YQSkREhKi\nv69y2bJl+P777wtMF0Lg0UcfRUJCAgDgxRdflJazfv16LFu2DD///LN0uhACo0eP1jsPH374Ybz7\n7rtuiZWIiIiIiIi8y8iRI/X3ND755JO4dOlSgemnT5/G888/DwBo0qQJBg8eXKiMuLg4LFu2DMuW\nLcP+/ful9Zw8eRK9evXCxYsXERgYiJ9++gldunRxeaxEREREVHZoQpjyxy5K73XNDPFq1EsvvYRV\nq1Zh7969uOeee7BmzRr06NEDqamp+PLLL7F582YAwKOPPoobbrhBWsa4ceNw+PBhhISE6B2E+U2a\nNAkLFy4EADRq1Ah9+/bFjz/+qIypSpUq0uFZzYiViIiIiMoGYdIQr2zkEXm+wMBAfPTRR7j11ltx\n9OhRtG3bFmPHjkWdOnVw6NAhfPDBB7h48SICAgLw8ccfw2azFSrjwIEDGDRoEADg6aefxptvvllg\nenJyMnr16oUzZ84AyO1oTEhIwLJly5RxtW/fXu+MNDNWIiIiIiIqO9hBqVC+fHmsWrUKw4YNw2+/\n/YaPPvoIH330kT7darVi/PjxmDFjRonr+P333/XPhw8fLvIO0Z49e2LdunVuiZWIiIiIvIMAoJlU\nDhF5vr59+2Lx4sV46KGHEB0drT+FmKd69er44osv0KlTpxKVf+HCBRw7dkz//wcffIAPPvjA4Xe+\n/vpr3H333S6PlYiIiIi8g/jvn1mlkXdiB6UD1atXx/r167Fp0yasXLkS0dHR8Pf3R8OGDTF06FDU\nr1/f4fd79eqFxo0bIygoSDq9a9euqFixYrHjadWqldNiJSIiIiIiIu80cOBA3HjjjViyZAn++usv\nxMXFISwsDJ07d8bAgQOVbVIAqFy5Mm6//XYAQPPmzQtNDw4O1qcXV82aNZ0SKxERERGVHWbcWEve\njR2URbBYLOjevTu6d+9u+Ltz5sxxOP21114raVhSpYmViIiIiMqG3CFeS38HqRllEJHrhISEYOTI\nkRg5cqSh7zVp0sThcK1Vq1Z1OL0kShorERERERGVHeygJCIiIiIqQzSR+1da7J4kIiIiIiIiZ9HY\n6rzmsYOSiIiIiIiIiIiIiIiIXMKskX9yCzOnGHI9dlASEREREZUhAsKUO1HZxiMiIiIiIiJnMesJ\nSrZdvRc7KImIiIiIyhCB3LtRTSmIiIiIiIiIiMgJ2EFJHku46aqYBRa31GuYWY/AW8yaX81gfqtJ\n9UpYjJYtz29RLht5usVgvapt3K5lK76RJk1NF3ZpepY1XZ7fkixN97UGyNOFf6E0H7ufNK9Pjvxn\nxUfI062qZa9YxlZFuuqOK9Uy1iTba44lR5pXmY4saXq2LVOeLjLk5SjS7Zq8fLuQly/bboweR1Xb\nsBDy/Vu1jwih2BeMHm4U9ZrH2eUrmHX89hLu+j0nIiKi/FTnPYrzP0Vu5emc6rxN+QVz2oNCNV8G\nTz+EULQ/FGHmKObXarHJ0xVtNs2iOOe3ytOtijZhplXePrMpLvvZLL7y8i2Kdpsi3aZo51kU7QFZ\n+0/WNgPU6zbHIm8v2y2KdhgU6XZ5eznbnqpIly97uyZPN5I3PUu+vHIUbcs0W4I0Pd4aKE33tRRu\n0wOADfJ0H3vh7cOi2GdVbXqj69Vulbe7NaFIhzzdLhTbhyq/ot2tQbHPqvKr9nFV/Ir8qmO1pqny\nK66FKI5RymOmKVTHY2N1Gm89uqldT6bgOyiJHZRERERERGWIZtoQr2wsEhERERERkTMIJ3eakzdw\n4iNMREREREREREREREREREQF8QlKIiIiIqKyRJgzkjCfnyQiIiIiIiJnEDBziFe2Xr0VOyiJiIiI\niMoQ84Z4JSIiIiIiInIOszoo2Xb1XhzilYiIiIiIiIiIiIiIiIhchk9QEhERERGVIUIIaCaM8SrM\nGCeWiIiIiIiI6CoCAho0d4dBbsYOSiIiIiKiMkQgt7FnRjlEREREREREprMAwmJSB6UFbMB6KQ7x\nSkREREREREREREREREQuwycoiYiIiIjKEO2/v9LiDahERERERETkLBpbndc8dlASEREREZUhue/y\nMGOIVzYWiYiIiIiIyHwCMO0dlGy7ei8O8UpERERERERERERERERELsMnKImIiIiIyhAhBITgHaRE\nRERERETkqXLH/qFrGzsoiYiIiIjKEI1DvBIREREREZGH0yzsoLzWsYOSiIiIiIiIiIiIiIiIXCL3\n+Ul2UF7r2EFJRERERFSGCIBPUBIRERERERGRR2MHJRERERFRGSL+G+S19OWwg5KIiIiIiIicw6wn\nKNl29V7soCQiIiIiIiIiIiIiIiKXMePGWvJu7KAkuoqz77iwwOLU8g0TBufXYlb8qh8ga+mLFoqy\nLSaUnVuBNFUTOdJ0Va12uzxOYZWXYxfZivIzpek2q680PduaKk3PUPwkWC2F060WmzSvRTG3Nqvq\n58asdWJU4WVvV6w/odieNGFXpCvKgTxd0xTrW5Ovbw3yeoWkXk2T5zW6Davym0a1z5rGyeUbPY56\nGN5pWPZo/z1DWVrcMoiIyHkUbSEhbx9YLKrzWjkBeXtFdW6vasdomurXUNEuthprO1gUbVSroi2g\nyg9N0Q5TtduUbWPF8leml/76gOpcVHXRWtbuAQC7qn2mZcnTFe1rVftMExmG4jGS167J2+hCMU85\nWro0PdMivwZgtfpJ09XbR+H2uzO3AcD4dqA+hsjTVduHqi2qvA6gbI8bi9NoW11Vvnr5qI5dBo+l\n0rYuO5SIyDzsoCQiIiIiKkOEaR2U7KIkIiIiIiIiZxDKTn+6drCDkoiIiIiI3ConJwcJCQkAgICA\nAAQHB5eonLS0NPj5+cHHh80cIiIiIiIiTyVg5hCvvLnWW7lrbD0iIiIiInKC3CFeS//PmU9Qnjp1\nCt988w2eeuopdOnSBRUqVEB4eDjCw8Px5JNPGipr//79GD58OCpXroygoCD4+/ujXr16mDRpEpKS\nkpwzA0RERERERERUKry1mIiIiIioDBEWDcJS+jtRndlBed9992Hr1q36/202+TuQivLtt99ixIgR\nyMzMfR9zQEAAsrOzcfz4cUybNg1fffUVfv31V9StW9eUuImIiIiIiMgMApoJ7VbybnyCkoiIiIiI\nXCoqKgp33XUX3nrrLWzevBmXLl0yXMbOnTsxfPhwZGZmolmzZvjjjz+Qnp6OtLQ0LFy4EEFBQTh1\n6hT69eund2ASERERERGRZ9BgN+WPA7x6Lz5BSURERERUhggIaCY00ZzZyPvyyy8L/D8jI8NwGc88\n8wyysrIQGhqKtWvXolq1agAAPz8/PPDAAwgODsbQoUNx+PBh/O9//8P48eNNiZ2IiIiIiIiISo9P\nUBIRERERlSHe8A7K0jp06BA2bNgAABg3bpzeOZnfHXfcgZYtWwIA5s6d68rwiIiIiIiIyAGh31pb\n+j/n3l5LzsQOSiIiIiIi8io//vij/nnIkCHKfHfccQcA4OjRozhw4IDT4yIiIiIiIqLi0YTdlD/y\nXuygJCIiIiIqU8r+Xah///03ACAgIAAtWrRQ5uvYsWOh7xARERERERGR+/EdlEREREREZYhmEdAs\nWqnLESaU4SyHDx8GAERGRsJmsynzRUVF6Z8PHTrk7LCIiIiIiIioWMR/N8bStYwdlEREREREpJSV\nlYX4+HiHeUJDQ10UTa7Lly8DAMLDwx3myz89Li7OqTERERERERFR8QmYNTyr547+Q46xg5KIiIiI\nqAzR/vtXWuK/Rt7y5ctRqVIlx3mFaxuEqampAHKHeHUkMDBQ/5ySkuLUmIiIiIiIiKh4cp+fNOcJ\nSnZPei92UBIRERERlSFmNfSEBzfzLBYLgKI7RvNPt1qtTo2JiIiIiIiIiIqPHZRERERERKQ0YMAA\nfPrpp+4Oo4Dg4GDExcUhPT3dYb7804ODg50dFhERERERERUT30FJ7KAkIiIiIipDBDRTGnp5T1D6\n+fm5/B2TRalSpQpOnz6N8+fPO8wXExOjfy7qfZVERERERETkKgJCmPUOSvJWHOeIiIiIiKgMyX0D\npb3Uf548xGvjxo0BANHR0cjKylLmO378uP65SZMmTo+LiIiIiIiIiIqHHZRERERERORVOnbsCADI\nzs7Gjh07lPm2bt2qf+7QoYPT4yIiIiIiIqKiCeTdXFv6f/Dgm2vJMQ7xSuRiZj2NYIHFlHIMEwbj\ntxiNs/hD0gmD91hYhKpsebq6fPkysCjmVVMuM3l+YZcPb2Cx5EjT7Ypy7MImr9Yuny+LRZEuKd+i\nWDaqMqBKN8iqmFfNjP1KsX0IVbpyu5HHoipHtf1pmmqYi+KXrx7iUbW85HUK5TasKF85r8aiUXPy\nOwqMHufcxJOfbiN3M3eIV080cOBAPP744xBCYNGiRejcuXOhPJqm4dtvvwUAtG7dGlFRUS6Okoiu\ndarjqCltOdX5imntL/n5u7GWDQyfF6oKEsJg289ibMg4AXnbSXUOr2oPaZrR305F+0bVNlOuX3l+\neQvSQbtNld+k6w9Gzi2c3X7ShGrpyNOFlm0oHiN5VWVritWk2eWXc62KawawZ8jzWxXXDCTbkzds\nM4Cj7UZFdR3AaLvenDjNasOr6zV6jJLEY3gZK2Ix/A2TrgM4ub3vyW0oTyQMbsNU9vAJSiIiIiIi\n8io1a9bEHXfcAQD46KOPsH///kJ53n33XZw8eRIAMH78eFeGR0RERERERERF4BOURERERERliGYR\n0Cye/QRlZmYmkpOTC/w//+fY2Fj9/xaLBZUrVy5UxsyZM7F+/XrExcXhpptuwqxZs9CjRw+kpqbi\niy++wKxZswAA3bt3x3333ee0eSEiIiIiIiKDhCjBU8+qsswphlyPHZRERERERGWIgB2aCUPlmDFM\nrMoXX3yB0aNHS6d9+eWX+PLLL/X/BwUFISUlpVC+OnXqYMWKFRgyZAjOnz+PBx54oFCeLl26YMmS\nJbBaOXAMERERERGRJ9FManNyaF3vxQ5KIiIiIiJyqYCAAOlTkTLBwcHKaZ07d8a+ffvw4YcfYuXK\nlYiOjoa/vz8aNmyIu+66C8OGDWPnJBEREREREZEHYgclEREREVEZIiBMevrReXehDhs2DMOGDTOl\nrMqVK2PSpEmYNGmSKeURERERERGRswkIUfqRf8i7sYOSiIiIiKgM0YQdmgkNPWcO8UpERERERETX\nLgG2OYkdlEREREREREREREREROQyAkKY1UHJd1B6K3ZQEhERERGVIWYN8SrYyCMiIiIiIiIiJ2EH\nJRERERFRmWKHgBnv8mAHJRERERERETmHOe1W8mbsoCQiIiIiIiIiIiIiIiIXMXOIV/JW7KAkIiIi\nIipDNAhopgzxysYiERERERERETkHOyiJiIiIiMoQ8V8XZenL4RCvRERERERE5BzmPUHJtqu3Ygcl\nERERERERERERERERuYQATBn5J68s8k7soCQiIiIiKkOE0CCE3YRy2MwjIiIiIiIiIudgByURERER\nURmS+wZKDvFKREREREREHkoIE4d4JW/FDkoiIiIiIiIiIiIiIiJyGTNG/iHvxg5KIiIiIqIyRECD\ngBkNPd7NSkRERERERETOwQ5KIi/l7GHXLLCYU5AZ76+yqGIxduFUHYlV8QV5+RZFvcpZtRi7SCwU\n8RhdJ5rdpgrIUDkW1fKR5bUUP29JYjFP8bdLo8NNCMMX9FWxGNxupBugwVgMz6tRTu7s8LD35XF4\nTHKX3HdQcohXIiIqDdXviPx8X9kUMlqt6vfLYEFCGGuXWAy32eRtLfWTIAbbYIbj97R2WOnPIVTn\nMur2lrF2lfJd2yLHUOmG2iCKvEJ5ySNbnm6Rl6NBHjsU26tml1csuwZgfBtT8axtz33tfRUzrgM4\n4txrBNIiDH+DN0leO0QJ9il1WeSd2EFZDDExMVi1ahXOnDkDf39/NGjQAH379kVgYKDT6vzzzz+x\ndOlS/f8TJkxAaGioR8ZKRERERERE7rdt2zZs374dcXFxCAsLQ6dOndC2bVun1jlnzhycOXMGANCg\nQQOMGjWqWN9zR6xERERE5BkEjN8kQGUPOygdSEtLwzPPPIN58+ZB0wruLCEhIZg9ezYefPBB0+tN\nTU3FPffcgxMnTuhpY8aMcdhB6a5YiYiIiMiz5N6Hyicoia4lu3btwogRI7B3795C0zp27IjPPvsM\njRo1Mr3e5cuX47HHHtP/37NnzyI7KN0VKxEREREReRZ2UCrk5ORg0KBBWLNmDQCga9eu6N69O1JT\nU7FkyRKcPn0ao0aNQmJiIp566ilT6544cSJOnDgBq9VaqLPR02IlIiIiIs8ihN3BEHNGCuLdrETe\nYPfu3ejevTuSk5MRGBiIoUOHok6dOjh8+DCWLFmCP//8EzfccAO2bduGevXqmVZvQkICxowZAwDF\nbru6K1YiIiIi8jymPUHJe2u9FjsoFd555x29w2/atGl4/vnn9Wmvv/46br/9dqxbtw7PPPMMbr75\nZjRr1syUejdv3oz//e9/CAkJwcCBA/HZZ595bKxERERERETkPna7Hffeey+Sk5MRFhaGjRs3omnT\npvr0v/76CzfddBMuXbqEESNGYMuWLabV/dRTTyEmJgb33XcfVq1ahcuXL3tsrERERETkafgOSlK9\n3fwal5GRgenTpwPIfRoxf4cfAJQrVw6ff/45AgICoGkaXnnlFVPqTU9Px6hRoyCEwMyZM1G1alWP\njZWIiIiIPJP4r6FX+j828og83bfffosDBw4AAN58880CHX4A0KFDB7z88ssAgK1bt2Lt2rWm1Lt6\n9Wp8+umnqFSpEt5++22PjpWIiIiIPJMQmjl/7p4RKjF2UEqsXbsWcXFxAICxY8dK81SrVg2DBg0C\nAKxYsQJpaWmlrvell17Cv//+iy5duuDhhx/26FiJiIiIyDMJmNPIg2Azj8jTffvttwCA0NBQ3HPP\nPdI8Dz30EPz8/ArkL43k5GSMHj0aQG5HY3h4uMfGSkREREREnosdlBLr1q3TP/fs2VOZr1evXgBy\nn3z8/fffS1Xnn3/+ibfffhu+vr6YP38+LBaLx8ZKRERERERE7iWEwK+//goAuOGGG/SOvatVrFgR\nbdu2BVCw/VhSzzzzDKKjo9GjRw+MHDnSo2MlIiIiIg8lhGlPUJL3YgelxP79+wEAVapUQZUqVZT5\nmjdvXug7JZGZmYkHH3wQmqZhwoQJhYa68aRYiYiIiMjTaRCwm/DHJyiJPNmpU6eQkpICoGB7TyZv\n+unTp/XvlMSvv/6KBQsWwN/fH/PmzfPoWImIiIjI02km/ZG38nF3AJ7o1KlTAIBatWo5zJd/+smT\nJ0tc39SpU3HgwAE0aNAAL774oqHvuiLW+Ph45bSEhARDZRERERGRc5l3Fyk7KIk8WV5bECh+e1AI\ngVOnTqFZs2aG60tNTcVDDz0EIQQmTZqEhg0belysbLsSEREREXkPdlBKJCUlAQDKly/vMF9wcLD+\nOTk5uUR1/f3333jjjTcAAPPmzYO/v7+h77si1kqVKhnKT0RERERERM6V1xYEXNN2ff7553HixAk0\nbdoUEyZMMPRdV8XKtisRERGRdxCAicOz8uZab8UOSomMjAwAUL4XI0/+zsS87xiRnZ2NkSNHIicn\nByNHjsSNN95ouAxXxUpERERE3kH89y4PM8ohIs+Vv13n7Pbgli1bMGfOHFgsFsybN6/I+q7myliJ\niIiIyBsICA7Pes1jB6VEYGAgkpKSkJmZ6TBf/umBgYGG65k2bRr27NmD8PBw/SlKo1wRa1xcnHJa\nQkIC6tata6g8IiIiInIe7b9/pcXGIpFny9+uc2Z7MD09HaNGjYIQAg8//DC6du1qLFC4Lla2XYmI\niIiIvMc100G5bds2/Pjjj9JpzZo1w/3336//v0KFCrhw4UKBYWhkjAxTc7V9+/bh9ddfBwDMnj0b\nlStXNvT9PK6INTQ0tESxERERERERkTHvvfcezp07J532wAMPoHHjxgBy24J5nNkenDx5Mo4cOYKq\nVati5syZhr6bx1Wxsu1KRERE5D3MG+KVvNU100G5c+dOZWPq9ttvL9BBGRUVhX///RfR0dEOyzxz\n5oz+uU6dOobi2bBhA7KzsxEcHIx9+/Zh4sSJhfJs3LhR/zxz5kyEhIQgKCgIL730kktjJSIiIiIv\nYtYQr3yPB5FbfPLJJ9i9e7d0WteuXfUOyqioKD29uO1Bi8VS4HvFsXbtWgBAvXr1MGPGDGmetLQ0\nAMDRo0f1tm2PHj3Qt29fl8ZKRERERN5CALCbWBZ5o2umg7Jz586YPn26dFrDhg0L/L958+ZYu3Yt\nYmNjERMTg2rVqkm/l7/R2Lx58xLFlZKSUqy7UD/88EMAQOXKlQt0ULoyViIiIiLyfAJ2CGFCQ4/v\noCRyiyeeeAIXLlyQTmvSpIn+uXbt2qhQoQKSkpKwZ88eh2XmtQfr1KmDcuXKlSiurVu3YuvWrQ7z\nnDp1qkD7Nq+D0tWxEhERERE5gxACKSkphkf6ILlrpoOyTZs2aNOmTbHy3nzzzXj77bcB5N4tOnz4\ncGm+vDtJg4OD0alTJ0PxOOowzbNq1Sr9KcrnnnsOoaGhhRporoiViIiIiIiIXGPkyJHFztu7d2/8\n8MMP2LJlC9LT06XvbIyNjcWuXbsA5LYfjXLUYZrn1VdfRVpaGurXr49Ro0YBQKF2pytiJSIiIiLv\n4U1DvH766aeYP38+du7ciaysLAQEBKBz58549NFHMWjQIHeH57WumQ5KI2666SZUqVIFFy9exJw5\nc3D//ffDYrEUyHPq1CksX74cADBo0CAEBAQYqqM4HaYJCQl6B+X//d//SYe3cUWsREREROQ9BAQE\nOMQr0bXgnnvuwQ8//ICkpCR89tlnGDNmTKE8c+fORU5Ojp7fqOJ0mL755ptIS0tDZGSk9PUlroqV\niIiIiLyJ53dQZmdnY8iQIVixYoWeFhQUhNTUVPz666/49ddfMXr0aMyfP9+NUXovdlBK+Pn5YfLk\nyXj00Uexfft2vPDCCwWedkxMTMS9996LrKws+Pr6YvLkydJyZs+ejYsXLyIwMBBTpkzx6FiJruZJ\nFyUtTg/F2DB44qqbAIr+gtEfW6u8GIPLwYJsg/XKSau1yGP0oM3G+Zx8l5c5i9LJJ3oeNvyjJx23\niIiIXGHw4MG47rrrsGvXLjz//PNo164d2rVrp0//9ddfMW3aNABAr1690K1bt0JlnDp1CnPnzgUA\ndOtleRK8AABI2klEQVTWDf369fPYWKkYVOdnRtswJlGdnRmORnXurWqXGDwPFkJVjqJai9Gh1G2G\ncgtlG1W+5LznCRQj5+sG2+nKtoli2SiWmTpCZy5jVSzy7dIicgzlV83V1Q84OMothLFtuAR7uYcx\nq21p1nasYtJ2acr76z2Mh12vIO/11FNP6Z2Tjz/+OF566SWEhYUhOjoaEyZMwNdff40FCxagXr16\nmDBhgpuj9T7soFT4v//7P6xfvx5Lly7FjBkz8PPPP6N79+5ITU3F8uXLcfnyZQDABx98gPr160vL\nmD9/Pg4fPoyQkBCndVCaFSsRERERlQ1CaCZdqGSjnsjTWSwWfP311+jcuTPi4uLQqVMn9O/fH3Xq\n1MGhQ4ewZs0aaJqGGjVq4NNPP5WWER0drb83Micnx2kdlGbESkRERERlhXD6zf+ldeDAAXz44YcA\ngAceeADvvvuuPq1WrVpYtGgRLl26hHXr1uG1117DAw88gIiICHeF65XYQalgtVrxzTffYMqUKXjn\nnXewd+9e7N27V59erVo1vP/++xgyZIgbo8zlTbESERERkZMJYUoHpfE7uInIHRo1aoRt27Zh1KhR\n2LJlC3788ccC0/v06YMFCxagRo0aborwCm+KlYiIiIicy9NHwpo/fz7sdjusViumTp0qzfPKK69g\n3bp1SElJwZdffomnn37axVF6N3ZQOuDn54fp06dj4sSJ+PXXXxEdHQ1/f380bNgQ3bp1g83meHiD\np59+GpcvXy7xOx9vueUWVKxYEQAQGhrq1FiJiIiIiIjIOzVs2BCbN2/GwYMH8ddffyEuLg5hYWHo\n3Lkz6tWr5/C7UVFR+mtCOnbsWKL6J0+ejLS0NERFRTk1ViIiIiIqS8x6gtI5HZ15N9O1b98etWvX\nlubp1KkTqlevjnPnzuHHH39kB6VB7KAshpCQEAwaNMjw90aPHl2qert3747u3bsb+k5JYyUiIiKi\nskFAgzCloefZd7MSUWFNmjRBkyZNDH2nZs2amDhxYqnqffzxxw1/pySxEhERERG5QkJCAk6ePAkA\n6NChg8O8HTt2xNKlS7Fr1y4IIZTv+KXC2EFJRERERFSGmPUOSnM6OYmIiIiIiIiuJgAPfq3IoUOH\n9M9169Z1mDdvFJGUlBScPXsWNWvWdGZoZQo7KImIiIiIiIiIiIiIiMhlzH4HZXJyMuLj45XTi3qN\nXn6XL1/WP4eHhzvMm396XFwcOygNYAclEREREVEZIoQw5QlKT76blYiIiIiIiLydAFDa4VCvtFsH\nDx7sOKeBNm5qaqr+OSAgwGHewMBA/XNKSkqx6yB2UBIRERERlTHaf3+lxQ5KIiIiIiIiMk+7du3y\n/c/cDkoz5X+PZFEdm/mnW61Wp8RTVnFpERERERERERERERERkVNFRkbimWee+e9/GkrXwSiQd3Pu\npEmTEBcX5/DPiODgYP1zenq6w7z5p+f/HhWNT1ASEREREZUhAuYM8Wr2+0CIiIiIiIiIXnjhBXz8\n8cf/vS+yNE9R5rZ7q1evjhdeeAHlypUzK0RUqVJF/3z+/HmHeWNiYvTPRb2vkgriE5RERERERGWK\nBmHCH4d4JSIiIiIiIrOFhobipZde+u9/JW17Cv17r776qqmdkwDQuHFjfZjXo0ePOsx7/PhxAECl\nSpUQERFhahxlHTsoiYiIiIiIiIiIiIiIyCXGjh2LOnXq/Pe/kowAlPudFi1aYMSIEabFlScoKAhN\nmzYFAGzbtk0dhabhjz/+AAB06NDB9DjKOnZQEhERERGVIULkDvFa+j8+QUlERERERETm8/f3x7Rp\n0/7735WnIYvnSv5Zs2bBZrOZHF2uQYMGAQD27t2Lffv2SfOsXr1af7/lwIEDnRJHWcYOSiIiIiKi\nMsVu0h87KImIiIiIiMg57rrrLrRv3/6//xl5ijI3b69evdCnTx/T48ozZswYBAYGAgCefvppaFrB\nGDMyMvD8888DyH1n5X333ee0WMoqdlASERERERERERERERGRy1gsFrz55pv//a+4T1FeeWflG2+8\nob8n0hlq1KiBKVOmAADWrFmDW2+9FVu3bsWZM2ewbt063Hjjjdi9ezcAYPbs2QgODnZaLGWVj7sD\nICIiIiIi8+QOzVqSd3hczYwyipaUlIT169fjzJkz8Pf3R4MGDdCtWzenDdNDREREREREnqFbt24Y\nMGAAli9fjtw2qBWAqtPxSlt3+PDhaN26tdPjmzBhAmJjY/HWW2/hl19+wS+//FJguo+PD2bOnMmn\nJ0uIHZRE5PGEpw0x5/R3cplzQdipUXrYKiEiovw0qBt0Rjj3YJ+VlYWXX34Zb7/9NjIyMgpMq1at\nGt5//30MGTLEqTEQEZFRqraKsQG6VL8whn+9hCIei3MHDFO9p1n9FIfdYA2qm3TKYkPM2LJRvyNb\nsS0othFvXpLK/Ue5PyjKEfL9RL4dq9bTtbStAsb3ZTm3vetdtY0YKcKEMHK55mZI8g4zZ878r4My\n7ylKRx2UuV599VUXRJbrjTfewKBBg7BgwQLs2LEDcXFxCAsLQ5cuXTBmzBi0bNnSZbGUNeygJCIi\nIiIil9I0Dffccw+WLFkCAGjRogW6deuG1NRUrFixAjExMbjjjjuwYMECPPTQQ26OloiIiIiIiJyl\ncePGGDNmDD788ENcueH26k7KK09PTpgwAbVr13ZpjJ07d0bnzp1dWue1gO+gJCIiIiIqS4TIvTu6\n1H/Ou7N77ty5eufkhAkTsGfPHsyZMwcLFy7E0aNH9Ybf2LFjcfToUafFQURERERERO6X967HXLK2\naG5a5cqV8fzzz7skJnI+dlASEREREZUhwrR/zpGVlaUPx9O+fXtMnz69wPSKFSti0aJF8PPzQ3Z2\nNl555RUnRUJERERERESeoGrVqpg6dep//9NQsJPyytOTkydPRkhIiIujI2dhByUREREREbnMr7/+\nigsXLgAAHn30Uel7jiIjIzFgwAAAwNKlSwu9o5KIiIiIiIjKlqeffhrVqlX773/5OyhzOyfr1auH\nMWPGuDwuch52UBIRERERlSmaSX/OeYZyzZo1+ufevXsr8+VNS0lJwbZt25wSCxEREREREXmGoKCg\nfCPo5LVJ8/6A6dOnw8/Pz03RkTOwg5KIiIiIqEwR/72HspR/Tuqg3LdvHwAgLCws392xhbVq1arQ\nd4iIiIiIiKjsGjlyJJo1a/bf//JungWuv/563HHHHW6Li5zDx90BkHfTNE3/LISz3lRERERE5D75\nz3Hyn/tcK7KyshAfH+8wT2hoaLHLO3nyJACgVq1aDvPVrFlT/3zixIlil09EJMO2q7N52jI1Go9Z\n8ZtVTuHhz8suY+dW6t1XMUHxBeNrqvjlm/cmb2eXYzRd5lraVgGj26uKeT9DBgsyoWLzjvZO/t1w\n02+9eft/CeouI+1Wm82GWbNmoX///si/nbz55pvS14OQd2MHJZVKUlKS/lnTst0YCREREZHzJSUl\noXLlyu4OowgahCkXT3Ibg8uXL0elSpUc5zRwASDv/LFChQoO8+WfnpycXOzyiYhk2HYlIiKia4V3\ntFvVbrnlFtx000349ddfAQCDBg1Cly5d3BwVOQOHeCUiIiIiKlOESX/OkZ6eDgDw9/d3mC//9Lzv\nEBERERERUdlmsVgwa9Ys/f8zZsxwYzTkTHyCkkqlVq1aOH78OIDcu9ytVvZ5l0ZCQgLq1q0LADh+\n/DgqVqzo3oCI68QDcZ14Hq4Tz8N1Yi5N0/Qnb4oaltSdJk+e7JSOvBo1aqBfv36mlRcQEICkpCRk\nZWU5zJeZmVngO0REpcG2q3l4nuF5uE48D9eJ5+E68TxcJ+bylnZrcbVt2xb33XcfQkJC0LBhQ3eH\nQ07CDkoqFR8fH9SpU8fdYZRJFStWNPQ+J3I+rhPPw3XiebhOPA/XiTm8YXicxx57zN0hFEuFChVw\n8eLFIodtTUlJ0T+XL1/e2WERURnHtqtz8DzD83CdeB6uE8/DdeJ5uE7M4Q3tViNef/11BAYGujsM\nciLeMkhERERERC4TGRkJAIiOjnaYL//0qKgoZ4ZEREREREREHiYyMhJVqlRxdxjkROygJCIiIiIi\nl2nWrBkA4OLFi7h48aIy3759+wp9h4iIiIiIiIjKBnZQEhERERGRy/Tq1Uv/vH79emW+devWAQAC\nAwPRuXNnp8dFRERERERERK7DDkoiIiIiInKZ3r17o1KlSgCADz74QJonJiYGS5cuBQDcdtttKFeu\nnMviIyIiIiIiIiLnYwclERERERG5TEBAAJ5//nkAwJYtWzB9+vQC09PS0jB8+HBkZGTAarVi8uTJ\n7giTiIiIiIiIiJzIx90BEBERERHRteXJJ5/E2rVrsWbNGrzwwgtYuXIlevTogdTUVPzwww84ffo0\nAODNN9/k+yeJiIiIiIiIyiCLEEK4OwgiIiIiIrq2pKWl4emnn8b8+fOhaVqBaSEhIXjrrbcwatQo\nN0VHRERERERERM7EDkoiIiIiInKbmJgYrFq1CtHR0fD390fDhg3Rt29fBAYGujs0IiIiIiIiInIS\ndlASERERERERERERERERkctY3R0AEREREREREREREREREV072EFJRERERERERERERERERC7DDkoi\nIiIiIiIiIiIiIiIichl2UBIRERERERERERERERGRy7CDkoiIiIiIiIiIiIiIiIhchh2URERERERE\nREREREREROQy7KAkIiIiIiIiIiIiIiIiIpfxcXcARGVBcnIyli5dih07duDy5csIDw9Hly5dcNtt\ntyEgIKBUZR86dAgvvvhisfK+9tpraNy4sdti9SRJSUlYsmQJdu7cibi4OFSpUgVdunTBrbfeasp8\nJiQkYNOmTdi/fz9iYmIQGxuL4OBgNGzYEH369EGLFi0cfn///v2YMmVKseqaPn06GjRoUOqYXSkh\nIQFLlizB33//jfj4eEREROCGG25Av3794O/v71H1uCpWd4uPj8fixYuxe/duJCQkICIiAt27d0ff\nvn3h5+dX6vJjY2OxadMmHDp0CDExMbh8+TLKly+PJk2aoG/fvkUem7Zv346ZM2cWq6733nsP1atX\nL3XM7nb58mUsXrwYe/bsQWJiIqpWrYobb7wRffr0gY9P6U7Rtm7dirfffrtYeefOnYvw8HC3xUpE\nRESuc/DgQSxZsgTHjx+HpmmIjIzEwIED0bp161KX/d5772HTpk1F5qtduzZmz57t1lg9yYEDB7Bk\nyRKcOHECmqYhKioKAwcORKtWrUwp/9ChQ9iyZQtOnTqFmJgYZGRkICwsDO3atcNtt92GkJAQh99/\n5513sGXLliLrqVOnDt544w1TYnalvXv3YunSpTh58iSA3PkYNGgQmjdv7nH1uCpWd/vnn3/w448/\n4uTJk7Barahbty4GDx6MJk2alLpsIQT279+PrVu3Ijo6GjExMcjKykKVKlXQvn173HbbbQgKCnJY\nxuuvv45du3YVWVezZs0wderUUsfsCXbu3Inly5fj1KlT8PHxQb169TB48GA0atSo1GVPmTIF+/fv\nLzLfddddh0mTJrk1ViJyAkFEpfLjjz+KsLAwAaDQX2RkpNi0aVOpyt+8ebO0bNnf5s2b3Rqrp1iy\nZImoXLmydD6joqLEli1bSlx2enq6uO6664TVanW4Lm655RZx5swZZTm//fZbsdfrtm3bShyvO3z7\n7bciNDRUOi/169cXf/75p8fU46pY3e2LL74QFSpUkM5no0aNxM6dO0tcdmxsrGjRooWwWCwOt+PB\ngweLixcvKstZunRpsfeJgwcPljheT/Hxxx+L4OBg6fw1a9ZM7Nmzp1Tlf/3118VenidOnHBrrERE\nROR86enpYvTo0crzgbvuukskJiaWqo777ruvWOcezZo1c3usniAtLU2MGjVKOZ/33nuvSEpKKnH5\n33//vYiIiHC4LoKDg8WsWbOEpmnKcu66665irddWrVqVOFZ3SElJEffff79yfkaMGCFSU1M9oh5X\nxepuiYmJ4u6771bO5+jRo0V6enqJy1+4cKHymljeX0hIiPjggw8cltOnT59i7RPdu3cvcayeIj4+\nXgwePFg6fxaLRYwdO1ZkZmaWqo7u3bsXa3n26dPH7bESkfl4yztRKaxatQqDBw+G3W5HzZo18cgj\njyAqKgoHDx7EvHnzcOrUKdxyyy3YuHEj2rZtW+r6pk2b5vBJOkd3k7k6Vnf5+eefMXToUNjtdtSq\nVQuPPPIIIiMjceDAAXz44Yc4efIk+vbti82bN5foztucnBz9Trng4GD07dsXXbp0QZUqVRAbG4sl\nS5Zg48aN+OWXX9C1a1ds27YNVatWdVjmzJkzUbduXeX0hg0bGo7TXZYsWYK7774bQghERUXhkUce\nQc2aNbF3717MmzcPR48exc0334ytW7eiWbNmbq3HVbG629dff43hw4dDCIF69erh4YcfRrVq1bB7\n927Mnz8fhw8fRu/evbFt27YSbWvp6enYu3cvACAkJAS33HILOnXqhLCwMFy4cAHfffcd/vjjDyxZ\nsgQHDx7E1q1bERoa6rDM999/3+F+U6NGDcNxepKFCxdi1KhRAHL379GjRyMiIgK7du3C/PnzsX//\nfvTs2RN//PGHw2NDcc2bNw+VKlVSTq9SpYrHxEpERETmE0Lg/vvvx+LFiwEAffv2xaBBg2Cz2bBy\n5UosWbIE3377LS5fvoxffvml1KMjREVFOXySztETe66O1V2EELj33nuxbNkyAEC/fv0wcOBAWK1W\nrFixAj/++CMWLVqEy5cv4+eff4bNZjNcx8mTJ3HhwgUAuedx/fv3R9OmTREYGIh9+/Zh4cKFuHDh\nAp577jmcO3euyNE36tat63DEk4oVKxqO0V3sdjvuvPNOrFy5EgAwYMAA3HbbbRBC4Mcff8TPP/+M\nzz77DPHx8Vi6dCms1pK9IcuMelwVq7vl5ORg8ODBWL9+PQBgyJAhuOWWW2C327FkyRKsXr0aCxYs\nQHx8PL777jtYLBbDdRw9ehSxsbEAcp9uvOWWW9C4cWP4+/tj9+7d+OSTTxAXF4exY8fi4sWLRY56\n1aJFC0yePFk5vahRajxdVlYWBgwYgM2bNwMA7rrrLtx8883Izs7G999/j/Xr1+ODDz5AYmIivvzy\ny1LX17ZtW0ycOFE53dE1AlfHSkQmclfPKJG3S01NFdWrVxcARIMGDQo9GXTs2DH9zqyWLVsKu91e\nonryP0FZ0ifpXBWru6WkpOh3iDZq1EjExsYWmP7vv/+KSpUqCQDiuuuuc3iXqEpycrKoWLGimDlz\npkhISJDmmTFjhr7Ohg0bJs2T/wnK7du3G47DEyUkJOhPrjZv3lzExcUVmH7w4EEREhIiAIjrr7/e\nrfW4KlZ3i42N1eejTZs2he4037NnjwgKChIARI8ePUpUR3R0tAgPDxfvvvuuSElJKTRd0zQxceJE\nfXt/9NFHpeXkf4Ly33//LVEs3uD8+fP6Mu/YsWOhZbZz504RGBgoAIi+ffuWuJ78T1BGR0d7dKxE\nRETkXPnPCyZMmFBo+qxZs/Tpc+bMKXE9eU9QluZJOlfF6m5ffPGFPh+TJk0qNH3atGn69A8//LBE\ndbzxxhvi+uuvF2vWrJFOj42NFW3atNHrUY00lPcEZdu2bUsUhydasGCBPt+vvvpqoemTJ0/Wp3/6\n6adurcdVsbrb+++/r8/HG2+8UWj6c889p0//5ptvSlTHpEmTRI8ePcTGjRul02NiYkTjxo0FAGG1\nWpUjxeQ9QdmzZ88SxeEt3njjDX2Zv//++4WmP/HEE/r0ZcuWlbievCco+/fv7/GxEpH52EFJVEL5\nT55WrlwpzTNv3rxS/wCa0UHpqljd7e2339bnQdUI+9///qfn+emnnwzXkZOTIy5dulRkvo4dOwoA\nIiAgQDrUSlnsoJw+fbo+T6rhgt966y09z7p169xWj6tidbcpU6bo8/DXX39J87z++utFXpRwJD09\nXdlZn8dut4smTZoIACI0NFTk5OQUynOtdFBOmDBBn8/du3dL87z00kt6nh07dpSoHjM6KF0VKxER\nETlXs2bNBABRr149kZ2dXWi6pml6R1X16tVLfMOqGR2UrorV3Ro1aiQAiIYNG0rPjTVNE61atRIA\nRK1atUp0c+358+eL/N6uXbv0c7mHH35YmqcsdlBGRUXpN6vKtqGcnBy9o6p+/fpurcdVsbqT3W7X\nb6pv27atdLvNzs4WdevW1ZdFSZw/f77IPPmv1Tz33HPSPNdCB2V2drb+IEPnzp2leTIzM0XNmjUF\nANGuXbsS11XaDkpXxkpE5vPO5/6JPMD3338PAKhZsyb69u0rzXPfffchICCgQH538KZYSyMv7sjI\nSPTq1Uua5/7774efn1+B/EbYbDaEhYUVmS+v/oyMDJw4ccJwPd4ob3k2bNgQN9xwgzTPyJEj9eGJ\nSrqdmVGPq2J1t7y4W7Zsifbt20vzjBo1Sh8epyTzGRAQ4HCYLgCwWq246aabAADx8fE4f/684XrK\nirzhyjp06ICWLVtK8zz00EP6Z3due94UKxEREckdOnQI+/fvBwCMGDFCOiSqxWLRh3Q/d+4cfv/9\nd5fGmMebYi2NvXv34vDhwwCABx54QDp8q8ViwYMPPggAiI6Oxp9//mm4noiIiCKHwWzdujUqV64M\nADhw4IDhOrzR9u3bcfLkSQDAgw8+KB0S1WazYeTIkQByhwX9559/3FKPq2J1t61bt+LcuXMACrZP\n8/Px8cGIESMAAPv27cOhQ4cM1xMREVFknm7dusHX1xfAtbNPyPz222/6cLj523z5+fn54f777wcA\n7NixQ99WXc2bYiWiwthBSVQC2dnZ2LZtG4DckxfVSX9QUJDeKbBx40aXxZefN8VaGpmZmXqjrXv3\n7sr5LF++vP6OTWfOZ3Z2tv5ZCOG0ejxFSkqK/m7OHj16KPOFhobqHR0lWf5m1OOqWN3t8uXLeoPK\n0XxGRESgcePGALhPONvZs2dx7NgxAI7XSe3atVGnTh0A7tv2vClWIiIiUsv/++zoNz3/NHf9pntT\nrKWxadMm/bMnzGfeefq1co7uquVvRj2etq04iyfNp6Zp0DQNwLWzT8h40jopijfFSkSFeefbxInc\n7N9//9VP4ps0aeIwb+PGjbF582acOXMGycnJKF++fInrXbZsGb766itcvnwZwcHBqFevHnr16qV3\nuHlSrK52+PBh2O12AMWbz23btuHUqVNIS0tDuXLlTI8n78Xu/v7+qFu3rsO8S5Yswaeffoq4uDgE\nBwejfv366NWrF9q0aWN6XM5y4MAB/eS9OMt/165dOHr0KLKzs/W7E11Vj6tidbe8u8+B4s3nwYMH\ncfjwYWiaJr0zt7R+/fVXAEDFihVRrVo1h3kXLVqE8+fPIz4+HhUqVECjRo1w8803o3nz5qbH5UpG\n18mJEydw8ODBUtf7+eefIzo6GomJiahQoQIaN26Mm2++GU2bNvW4WImIiMhcxf1Nb9iwIaxWKzRN\nK/VTQwkJCZgxYwaOHDmCrKwsVK5cGW3btkW/fv0cjkbjjljdobjz2ahRI1gsFgghnDafO3bsQFJS\nUpGxALkjoeRfr2FhYfp6zXsK0xvkX/55N2rK5F8eJVn+ZtTjqljdLW8+bTYbGjRooMyXfxk4az43\nbNhQ7GtLFy5cwGuvvYajR4/CbrcjPDwc7du3R79+/YocZcjT5a2TgIAAREVFKfOZuU7OnTuHV155\nBcePH4fdbkeVKlXQvn179O/f3+H1SXfESkTmYQclUQmcPXtW/1yjRg2HefNPP3PmTJEnOI7MnDlT\nmt61a1d8/PHHaNiwYaFp7orV1Uoyn0IInD171uEJcEmsXLkSO3fuBAAMGDCgyA7Q6dOnS9O7deuG\njz/+GPXr1zc1PmcoyfLPycnB+fPnUatWLZfW46pY3a0k85meno7Lly8jPDzc1Fi++uorHD16FAAw\ndOhQ6TBW+U2ZMkWa3qdPHyxYsMCr1kN+JVkniYmJpb5hZNKkSdL0/v37Y/78+ahevbrHxEpERETm\nyvtN9/Pzc9g56OPjgypVquD8+fM4c+ZMqeo8deoUnn/++ULpgYGBePLJJzF16lTpjX/uiNUd8uaz\nXLlyqFixojKfv78/KleujNjYWKfN59SpU/XP99xzj8O8x48fl67XcuXKYfz48ZgyZYp0W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          }
        }
      ],
      "source": [
        "fig, axs = mode_solver.plot_field_components(\n",
        "    field_names=(\"Ey\", \"Ez\"),\n",
        "    mode_indices=(0, 1),\n",
        "    val=\"abs\",\n",
        "    f=freq,\n",
        "    figsize=(10, 6),\n",
        ")\n",
        "for mode_ind, field_ind in np.ndindex(axs.shape):\n",
        "    field_name = (\"Ey\", \"Ez\")[field_ind]\n",
        "    axs[mode_ind, field_ind].set_title(f\"index={mode_ind}, {field_name}(y, z)\")"
      ],
      "id": "8e2b25af"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Then, we will calculate the initial coupling efficiency to see how this\n",
        "random structure performs."
      ],
      "id": "e4670e34-3aa1-46b9-b725-86c2a6e0f193"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "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\">19:37:21 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'initial QE light extractor (Autograd)'</span> with          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>resource_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-5f29835b-a10b-4cf2-a137-695658fabf44'</span> and        \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>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-5f29835b-a10b-4cf2-a137-695658fabf44\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-5f29835b-a10</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-5f29835b-a10b-4cf2-a137-695658fabf44\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">b-4cf2-a137-695658fabf44'</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\":\"59f779e21e544146b972b8511a8e1bbf\",\"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\">19:37:23 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.060</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\">19:37:24 UTC </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"ae45d2f8587543e6a03ea462152937a3\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:37:34 UTC </span>status = preprocess                                                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:37:38 UTC </span>starting up solver                                                 \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"eb999ec84f2b4a54837eeba980a28698\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:37:42 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span>%, exiting.                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = postprocess                                               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"d2673955480f42d49221f5e4afb4cca6\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:37:45 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">19:37:47 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-5f29835b-a10b-4cf2-a137-695658fabf44\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-5f29835b-a10</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-5f29835b-a10b-4cf2-a137-695658fabf44\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">b-4cf2-a137-695658fabf44'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"4f1ecdb8e9a94d0c97f1bb6c60fa8468\",\"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\">19:37:50 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = web.run(sim_init, task_name=\"initial QE light extractor (Autograd)\")"
      ],
      "id": "8e666b56"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The modal coupling efficiency is normalized by the dipole power. That is\n",
        "necessary because the dipole power will likely change significantly when\n",
        "the optimization algorithm modifies the design region."
      ],
      "id": "448c739f-ead6-41d8-bbca-d46fb756b7fb"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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V9zzTW556XH1q5dK4961KP2qhwrWY1uvvnm3PNuu+028f14Qdwb5RlCCCGEEEIIIYQQ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hnKjEwJW1eS+pmxbi2jonU0UpVFSbS/ozgEZCQRhcD9qwVqKaRwTPIFRccYa1nKExfQZtmNc2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\nZNlx2nIgroKbHuyPdZE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WXa5llPTw9eXl44e/ZsteRZnYq8bi9d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\n/w++QGXY3gh8pgAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "mode_amps = sim_data[\"mode_monitor\"].amps.sel(direction=\"-\", mode_index=0)\n",
        "mode_power = np.abs(mode_amps) ** 2\n",
        "dip_power = np.abs(sim_data[\"flux_monitor\"].flux)\n",
        "\n",
        "coup_eff = mode_power / dip_power\n",
        "\n",
        "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4), tight_layout=True)\n",
        "ax1.plot(wl_range, coup_eff, \"-k\")\n",
        "ax1.set_xlabel(\"Wavelength (um)\")\n",
        "ax1.set_ylabel(\"Coupling Efficiency\")\n",
        "ax1.set_ylim(0, 1)\n",
        "ax1.set_xlim(wl - bw / 2, wl + bw / 2)\n",
        "sim_data.plot_field(\"field_xy\", \"E\", \"abs^2\", z=0, ax=ax2, f=freq)\n",
        "plt.show()"
      ],
      "id": "9d5ab5c7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Optimization\n",
        "\n",
        "The objective function defined next is the device figure-of-merit (FOM)\n",
        "minus a fabrication penalty."
      ],
      "id": "d94a0016-a9f3-453e-8e87-fecd5089ea1c"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Figure of Merit (FOM) calculation.\n",
        "def fom(sim_data: td.SimulationData) -> float:\n",
        "    \"\"\"Return the coupling efficiency.\"\"\"\n",
        "    # best to use autograd-wrapped numpy functions for differentiation\n",
        "    mode_amps = sim_data[\"mode_monitor_fom\"].amps.sel(direction=\"-\", f=freq, mode_index=0).data\n",
        "    mode_power = anp.sum(anp.abs(mode_amps) ** 2)\n",
        "\n",
        "    dip_power = anp.sum(anp.abs(sim_data[\"flux_monitor_fom\"].flux.data))\n",
        "\n",
        "    return mode_power, dip_power\n",
        "\n",
        "\n",
        "def penalty(params, beta) -> float:\n",
        "    \"\"\"Penalize changes in structure after erosion and dilation to enforce larger feature sizes.\"\"\"\n",
        "    params_processed = pre_process(params, beta=beta)\n",
        "    erode_dilate_penalty = make_erosion_dilation_penalty(radius=min_feature, dl=grid_size)\n",
        "    ed_penalty = erode_dilate_penalty(params_processed)\n",
        "    return ed_penalty\n",
        "\n",
        "\n",
        "# Objective function to be passed to the optimization algorithm.\n",
        "def obj(param, beta: float = 1.0, step_num: int = None, verbose: bool = False) -> float:\n",
        "    sim = make_adjoint_sim(param, beta, unfold=False)  # non-differentiable if `unfold=True`\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",
        "    mode_power, dip_power = fom(sim_data)\n",
        "    fom_val = mode_power / dip_power\n",
        "    penalty_weight = 0.1\n",
        "    penalty_val = penalty(param, beta)\n",
        "    J = fom_val - penalty_weight * penalty_val\n",
        "    return J, [sim_data, mode_power, dip_power, penalty_val]\n",
        "\n",
        "\n",
        "# Function to calculate the objective function value and its gradient with respect to the design parameters.\n",
        "# Use tidy3d's wrapped ag.value_and_grad() for it's auxiliary data functionality\n",
        "obj_grad = value_and_grad(obj, has_aux=True)"
      ],
      "id": "e0660539"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In the following cell, we define some functions to save the optimization\n",
        "progress and load a previous optimization from the file."
      ],
      "id": "01229d54-0815-4d62-957a-1d25b20733a7"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "# where to store history\n",
        "history_fname = \"misc/qe_light_coupler.pkl\"\n",
        "\n",
        "\n",
        "def save_history(history_dict: dict) -> None:\n",
        "    \"\"\"Convenience function to save the history to file.\"\"\"\n",
        "    with open(history_fname, \"wb\") as file:\n",
        "        pickle.dump(history_dict, file)\n",
        "\n",
        "\n",
        "def load_history() -> dict:\n",
        "    \"\"\"Convenience method to load the history from file.\"\"\"\n",
        "    with open(history_fname, \"rb\") as file:\n",
        "        history_dict = pickle.load(file)\n",
        "    return history_dict"
      ],
      "id": "0c5192af"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Then, we will start a new optimization or load the parameters of a\n",
        "previous one."
      ],
      "id": "1035d621-37fe-4b7b-bf5b-84cb7564c69a"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [],
      "source": [
        "# initialize adam optimizer with starting parameters\n",
        "optimizer = adam(learning_rate=learning_rate)\n",
        "\n",
        "try:\n",
        "    history_dict = load_history()\n",
        "    opt_state = history_dict[\"opt_states\"][-1]\n",
        "    params = history_dict[\"params\"][-1]\n",
        "    opt_state = optimizer.init(params)\n",
        "    num_iters_completed = len(history_dict[\"params\"])\n",
        "    print(\"Loaded optimization checkpoint from file.\")\n",
        "    print(f\"Found {num_iters_completed} iterations previously completed out of {max_iter} total.\")\n",
        "    if num_iters_completed < max_iter:\n",
        "        print(\"Will resume optimization.\")\n",
        "    else:\n",
        "        print(\"Optimization completed, will return results.\")\n",
        "\n",
        "except FileNotFoundError:\n",
        "    params = anp.array(init_par)\n",
        "    opt_state = optimizer.init(params)\n",
        "    history_dict = dict(\n",
        "        values=[],\n",
        "        coupl_eff=[],\n",
        "        penalty=[],\n",
        "        params=[],\n",
        "        gradients=[],\n",
        "        opt_states=[opt_state],\n",
        "        data=[],\n",
        "        beta=[],\n",
        "    )"
      ],
      "id": "3a834d1e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In the optimization loop, we will gradually increase the projection\n",
        "parameter `beta` to eliminate intermediary permittivity values. At each\n",
        "iteration, we record the design parameters and the optimization history\n",
        "to restore them as needed."
      ],
      "id": "98e913a4-3816-4bac-bb4a-195e65ae0b52"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Iteration = (1 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 1.0\n",
            "    J = 7.1427e-02\n",
            "    grad_norm = 6.3862e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 473.637\n",
            "    dip power = 2762.899\n",
            "    coupling efficiency = 0.171\n",
            "Iteration = (2 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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I0Y6UO/PYZLAyYs/AY9wgU+R5Dnx0vnvkX8u4rOpjblwzkWekbzVw2Rq8zJC1FRkse+yJ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\nRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 1.0\n",
            "    J = 2.3237e-01\n",
            "    grad_norm = 6.6931e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 1006.721\n",
            "    dip power = 3028.948\n",
            "    coupling efficiency = 0.332\n",
            "Iteration = (3 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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HRIGRKFmKjL3yGV6yhi0LL4q3MgC8zFJk5XpUZEyhOUzcJmXaG4XVj87kkQYv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\nUCgUCoUnQBnkQqFQKBSeAP8Dwz/3zzKrIIMAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 1.0\n",
            "    J = 3.8047e-01\n",
            "    grad_norm = 6.0493e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 1504.393\n",
            "    dip power = 3131.087\n",
            "    coupling efficiency = 0.480\n",
            "Iteration = (4 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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0TFnjybNhfyuGDPAC1Sg1vi0Bq+QsdoE8eAfAvCmUsxWa4+/ydw6kjQ3m0vPT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\nAf4fpxMkngHE09EAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 1.0\n",
            "    J = 5.0013e-01\n",
            "    grad_norm = 5.2723e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 1981.499\n",
            "    dip power = 3301.765\n",
            "    coupling efficiency = 0.600\n",
            "Iteration = (5 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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5Pp9lvV7Ler3unbiMYYB02P5kGQFjYlSFrIUuMwoqcMmxe1yOtfAC0EpgTEQe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\n+Rgc2owcpgAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 1.0\n",
            "    J = 5.9371e-01\n",
            "    grad_norm = 4.3683e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 2490.432\n",
            "    dip power = 3590.031\n",
            "    coupling efficiency = 0.694\n",
            "Iteration = (6 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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cU14F3iEMr6+vixWhnqOW55kDC+DFYiF3d3fvvPcSMC0wEKCw8D0lpCeTidze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\nwvJq27bLHOVjLr3HI8Lj226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ZEYq+6GtBaq9ZC8jRaCSz2ezkYARWcHjnZzdrDxrlpx6n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\nuaKioqKi4hOgKuSKioqKiopPgP8HlL4r/ujn48MAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 2.0\n",
            "    J = 6.9714e-01\n",
            "    grad_norm = 5.0917e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 3180.133\n",
            "    dip power = 3989.418\n",
            "    coupling efficiency = 0.797\n",
            "Iteration = (7 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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q1t93u508PT2dLAdF6bmUp3yxg0Es7zjaeSJxL1RPdqbBo60vtOLNCdGhkOuL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\nH+c4g5GViY5GAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 2.0\n",
            "    J = 7.4126e-01\n",
            "    grad_norm = 3.5748e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 3869.043\n",
            "    dip power = 4599.094\n",
            "    coupling efficiency = 0.841\n",
            "Iteration = (8 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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vkTGXL/UaR5VZ/+etZfwClxIPVAlvs9nYcrnc85BT40cVL47b/fDhg33+/Hlv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\nUfEOUAm5oqKioqLiHeD/ADLMwH+dXgTdAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 2.0\n",
            "    J = 7.7145e-01\n",
            "    grad_norm = 2.8583e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 4554.618\n",
            "    dip power = 5226.471\n",
            "    coupling efficiency = 0.871\n",
            "Iteration = (9 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Do9/v720f43pL2oL7Hh4e7OvXr+3b2pg+1BGVd2z5djIPucRr8yYze21cZg6R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\nxcWFff361ebz+Z6XHBlmHj2eUfVSnEQ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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 2.0\n",
            "    J = 7.9287e-01\n",
            "    grad_norm = 2.7701e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 5232.111\n",
            "    dip power = 5859.924\n",
            "    coupling efficiency = 0.893\n",
            "Iteration = (10 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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FpEaFXu/xg1cGvyuGw6GdnZ1lQ525dkeKIKLDG6sSYc70eGMXbSkq4SNWOPro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\nAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 2.0\n",
            "    J = 8.0951e-01\n",
            "    grad_norm = 2.6579e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 6080.603\n",
            "    dip power = 6685.595\n",
            "    coupling efficiency = 0.910\n",
            "Iteration = (11 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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/KJEL/DF7Otjo6Oho52jatjnD/eVFy9SR8O7PQQ1EjKncfTrGSudoSVv1c5d7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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 3.0\n",
            "    J = 8.0209e-01\n",
            "    grad_norm = 7.6534e-02\n",
            "    penalty = 1.000\n",
            "    mode power = 7495.064\n",
            "    dip power = 8308.865\n",
            "    coupling efficiency = 0.902\n",
            "Iteration = (12 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Pk9IMZe/do+g/9Y4iw87TAQzo+/0+RT2ivoiARa9TwjricDi00WiUDFP16nR9WZd1wBd0\nBo/tCGgjINbIkqcDoe9gQEwmExuNRvbNN9+kU9+wNFBVX6ND19fXyTnx9mFHcvJ0nF4X9SF4hVF2\nenr6aK89+OMcGK6vKSh7MlOeoLfZgOf6YMSwEQU975WpOtnTjcemFz0YhD/rwOPJgBfCSfAIZrNZ\nCmtpmAbKCpvb7+7uUuYdwDUKqzJww5pFli7WaTH5vCSV58qlbYfytQhPgTAhGKwYpDUk18QzZj7x\nudPp2GQysR9//DGt+bHSiSZXNHn4HtzX7Xbtu+++s9lsZpPJJCkeePdmh8sPfAQor5Eyz1692n4N\n3etvkPt+//UozuVymfhoq1Ry/Q5DC7JFuyArr5/q6ul2H7KEYdh51zb1BCLjzpO3WV55ecBd50Vy\nuTlPs9PpHHiXDMDRUpinp/h1f39vy+Xy0V5dDc9GHn3kdaGPOJseIdfRaJQiRWdnZwfhdvD1/fff\n23Q6tZubG/vLX/5i6/XalsvlgRHPfeHN16b6CHUi+jCbzeynn35KWei9Xs++++67JKvFYmG3t7f2\nt7/9LUUmm0axIlLdgTHJkQU+XpXb1+l0Er4MBoMkK9VnXrvbyuop9KpJXazoGCSwboazcxFm+uab\nb2wymbhhBLYEMdnMDre/1IVt2OLlgxbahD7btr+tZaiKgo0IKJ3BYJD+88LqEeh4g4yBT/lAn6DP\nkP2oZbSRBd+HUOvFxUXa88lr2+gTNrh0r3EdH/yfjkX2nHSfOsrn830jjyLiwVP2fD/GJNZTvYQ0\nr646bwYe193dXfrtORZ/BGIR1Xk2dfe2nYOsoHmbUgTEykfUT1giQ/IW6wnltQ6UlV9ECWA8IAdg\nPB7b6elpClVrxANeIc76/u2335JRB33geXrP0WudTiclVyKxD/kP7MAsl0u7vb21wWBgnz9/TnP3\nOTxEUR2dx7lxhSTK3W5np6enaY5gOSeq9zXoRQGZB7YqPww8WFYIyQCYMThxv3YALERYj0j8QRY1\nPGVeT4mSkTispJm5Ocu2raUUlePJjScbJhVCMAADBiQzOwizmz2EdCPPoEkb+FooOVjr/X7fbm9v\nk3Wpa3j6WccDEntghA0Gg2SEqZULAwt1cKhR26ATXnlh+ULGnKDE63TgBePhw4cPab3p/v7e1uu1\nXV5epq1NngfqycCTL0iXKpqsXefaPhwObTwep32dz1EuHNlqovyaEBvBTT3kHPG+YY4K5Tx5M78v\n+D/WITlem85zHnvQXxh/SETDdzYqIsJ82u/3B1GcXAJmRJGRxlvA3r17l7LWPb4Q5dxut3ZxcZHW\nt7E0w3KKxmUTYxEGDaILTQ3F0Whk79+/t+FwaL/++uujB1QwD69Fr3JSFwOynnozmUxSiPL7779/\n9DSXSBiYZGdnZ7bf79OARrIWbx5nYOYyOeyhYHwMxeBR08kK/gaDge33+wQK8KBYKcDqxF5V3Kth\nag+Q6+pHeexBwlMejUYpQ1ZBw/My8AI/o9HILi4ubDKZ2J/+9Kd0Gg/ko+v96Eezr+urmmmtcs4p\nVwYV9komk0lKmONEGi4XfbBer+329tb++7//O+1xjELCnky8a3gcasixKWnbsQ6JgyCiKEiOmHde\nZmo6lnJ1sbF1jPnG666cvNXWs/dIEy89L1nfIz0CQNY1YxgTMCyg2+qWmjCGq6pKeoO9vjb9HskG\n6/Kz2czevXt3IGPV/eB/v9/bt99+a4vFIp0GyMY1ePLmcdM+guw4Ea+OsCQwGo3sf/7nf9LWO08W\n/5AechT+YQ8NgwthA4RmYM2qpcXesQIpPgPokXDEh7ezUgdxqDrXeZEFxwP7JTtLDRozS5OXD+mI\n7o1eWn50P9qnwMwHVQwGgwN5ezzo3lteosCkhuIBcRSA+YHxVVXVI2VbB8oKiLzuxNt3kATEyUZM\nPJZHo5G9e/fOhsOhLRYLM7O0vhj1pddHyrcaiB5FoWsdq8guhaH7VKWn0YVoXHnzQucMt5N3FTx3\nuQjeEvpPgeup3rx6yE/1jD1Q5rnhRbSaRiHYWNIyjqWjMO4xb5rk2PT7fTs7O7Nu9+u+e+woyPHV\nxDNm0jHZtEzIbDabpSUJfmBFE7kdU/+/6D5kHlAYKJgos9nMxuOxnZ+f28XFRergqNwIFDkrF56k\nmR2sw3W73fSdtyiocuFyMfnw/2uGLbTNaKfZV+vfzNJhBLhOlZ8XWuQBq0lyOR5AvOY/nU6t3+/b\nfD43M3s0kLkeXR8bjUY2nU5tNpvZjz/+eHDyFk8ENqaq6vAgj16vl+rktasogcWTDRQLMnGn02la\nt3v37l02RMhGxh//+MeU6HN1dWXX19cJnFWeLJuIOCLAUYEcecCAPsOyzi+//FJbTkQMvHywRgQW\nKnfmSecVtvXpM4FzESqvbJQ5Ho/t7OwseW9No0O5eYD/eSnBO/Yy8oy9dqhRyHvtOTkpMnw8PhHu\n7vf7B2cqqJxy7Y3KZseHw+l1wDkajezHH39M24yQmKqn/ml9bYh1XVsaDAb2ww8/2Gw2S0+RakNP\nNfI8evGDQVgxs4esp+VwMpJa0fq79xvKhicApW1m6TsnPbH354EUyJtQXv16zzHI82gx8PSwfe++\n3CvHv7bB44P3N/P5yriXDR0AMpTNaDRKIUVeH0PZXAb/1u12Ux9y2JTXm3Pg5XlLOi45OUXBJhp3\n2L8+nU5TdimPr6b9q/JnYyTXP5E1j7IxL9Sw9LzaHKnMvHER8eiNNc9Dfurc4X5l5VzXBx7l5sQx\n1o7BZ5P5ydc2KVM9ay4nuicXaVGqM248Qxj6gg2OY+QeaDvqDJeoPiyfYRsU8OK1nTCzFw5ZoyN4\nrQTeCLa1YKN+bmJ79XAIFaFT1LXb7VJYE6FDgD/W5XiwMmjweghPOg/Mj0GR5ayDGu3kKALapt6w\nhq3qtjo1HXiY5DB2kIw1nU7t+vr6YJ2b+348Hqe+R/gKa7NY81Fib1gBEJEQhL+w9suniHljUeUL\nBYHlE6yLedsmPFnAa0cbfvrpJ3v//n1K9NL6In6U0G6czsZAFYGe14cADswxr011hoMCHeZy2/U6\n5pPvwbGwSIiry93gsaBlsZHI3nFOSTN/Cq7KMxKSoscT1rXda4sal2pEtNUzKMdbO/fqb+qdogzI\n1wNV7RfVkxwaxuMT6/RQna5lI7FpCF2p1+vZxcWFjcdjm81m6ZnQ+jCi16AX85BV+TM45AZgm7rU\nAmdAUg/ZzJKXgP9B0doNSCcm/8Z81CnLyBLVdvFnT5Ezn8y/Xt/EAve8Fv0vmhRQzp1OJ01SrHt6\nxhiv0Q6Hw0dJQZ5sPdkArL3xVKfMPFmol+x56x6poQDDA2AVeazeu/aBemMeNR1f6AtvzkTtir6z\nvDy+64h5QBt5/ThXhjcmtY0MRE3XFD05enM58pCbtNuLOOXm5XOobr4/p9ym4X+QesowgrWMJnOs\njren4AjuRV6OYpKOEe/eY9KLechq/SFUAWXMzxX1qK0XCqEx4EK5MkggfMfZsN3uw8Z8fsQa+EBn\n6D7XNvzxZM9Z/3jXOtgzNbMEfny9Wsd1njHLTeUY/cd9y/xg+wMeAQhZIxyEk6MQFdH1x6YTDrKA\nDDCWkEPQpE90bHKCSlsDkccdPMYffvjBer2eXV5e2q+//vro+lxZ/I51ZE0QM8uDsf7G26fUqIzA\nV0GYAY+T3nJgV/cb2ofs1ibg5o1J9CUSBGez2UGki/vT44HHM67xvGVe++TtRBFF7eF8Ci9T3dMV\nTcGfw9VPGc8RwajmqIO2tc7w6XS+HiiCxMwcTwrkdYQ2P6edanDgt394D1kBIFrz8zJYtSzvt5y1\nonWaPXjIXngO33WdM7KOMCkUuCK+2namB5hcFg8aDl/rYPKAOBrgXh0RSOt9ePHpQcig5MM1AJ58\nqlgbMNYJygARechNZOxFRtqCMYOymdnp6alV1ddkpd9++y30lOvIyziOFDe/62+et52bX947ywjz\nJIokNIkIYUsOAC7aMeCBqTd+e71eWrrAXK4L/+bmtdeGNnulc/Oe9WE03tp43ywHvKsOeA5Bvm0i\nmp7+gJ6FrmjSljY8NuGpzpBQfZmbLy9BRwVkjt/XATFCmFFmdROKQJMViJkdWHXME1/Lp+CoEmAP\nGddjTVnBAtR2IqkxwXVAobJ82YNHGeoZa2gb1z2HPKWPchGexkM5zL4aQzjrFkdgqoHQltToAtgj\nCtKmDP7s8VYXsvLKRfsvLy+zIKd1M6HPscY6n8/T+d56Hb/rb/DscsCe48vsMEcBh6Vgn3Y07r13\nfm23W7u8vLS7u7v0oBJPFjlPiQ0zbKPDozk971h5ZNKERL4Ombe3t7fuMa0RNXEcWPFzn+tWsMhQ\n0LZFBqbXvzn+I4+3rceu7X7KUmXO+9byo7GD/73feG857+jg7aWvRUf3kLmxalXzi7PtImqiDFXI\nCmwQOP+GgY/rYV1HHrunXDyFrRP5KaEO5V8nXuSVeMkhUbhaZdeUVLl6fPNpYliTwQZ8fkBInaXa\nREYMyIPBILsvm+/1york1BaMzSyF6HEOu/ZhBDBKGKdIeqqqKpWp1+ln9Yx1jdYDugiMGfgYkPnA\nFI8fBRA1Mj5//pzArm0UgfMnYJBh25qXB+LxyH0D/mAI82/L5TIZD5pkV0cRaEXGB3vhvC87BzRe\nuVFOSVMDs+lcbEttIlltKNJv3nUeaeSDI5DPyf5vSy/iIfMgYEBuGxpURaGKremg8pK08BsngtUZ\nBzx5GeTrBnnOkvSUoCpErZe9Zy7H84zrBmUTWXqWuWchM/9exvdLTELUMRgMbLPZHEQtvOtz7fPa\nUieXOr5gZUfrjVG/M1+spHMUeaMaas2NCR0bPId5rywvUXiyiHjBOiz20eMhCG09d/CFrH0kC+Yy\nvyMeuXz2kFAHHlyjzwL3+MmNF8hL8ydYTp6HjMhPpEfQp8qLpwOeO/94POm88YxPj9rqAY9/nTfK\no96fM2J2u10yDPkxkU3Pxz8mvRggY+DlEmdeinSCIMlLLWIocga2CHzMDk+PAijWDfam3j1PKrPH\nQIx31O8pcl1P1f5oOxE8BYbBqsqBJ6JGRZpswXgKoSyEyfkh9zmPK/JKnmIFR8APsBiNRrbdblPS\nUqREorEDENMjNFUZegDInlaToyk9MFajB6frceg8AgmPFxw5ulqt7Pr62ubz+aOxqUpd5wUbO5PJ\nxP7pn/4p8YW5HsmHefN+73Q6KYkODzGZz+c2n88f7ZVW8IvC7vjMB37oUhL6lutGOxH5iZIWtS6W\nkc7953p6auCxkZcDPdz7HIqMRv2t7h6l3W5nX758SVux2Gh8Lc8Y9KKAnEswMosX2VGGkg6ougGm\nnaEhYE78UvK83sjqr/OmvMmf4znyOvU3D3DrElma1s8WeZ1i0/88b4a/62emSLlH3yPjTy13jxQw\nPDmoTOr44fvxEA6EOpvIJ+KzyRGa2l/8O4dh60jnqq4h47s3NzzePFDmTGWMY55PKhPuZw5T6zGn\nHHL2eItkZeY/rrWqqnSKmDfnwTuPOZ2X+OxFCT1ZqSHFh7ooDzoXsPuirq4c5YBVDfKnAlaTeV5H\nrMOfY+jDQ57P5ykKkhuLL0lHBWTE3Hny5E7lMvPXYJXUs2ijVMzskYIGX7gOdXiKlutjj8WzkiPe\nvfc63nmtm61bL8ED1+uRhk/1SCMZq8JQK1nbFw3mHD91dXvlY712u93aZDKxbrebQqE5YsXHRyEq\nz57yi/hjevfunf35z39O1vdmswknt/c7ZH1/fx8+uCIHxnw/nzVeZ8TymOacD84F6PV6B/2uclAe\n+OlYGqqO5r5nFPA56Ofn5+n4Xez79sanx5+3VotjSvF4RcicQREGPK9hV1WVdAo8W9YRyJWJQBI6\nRUEevJ+cfH0++3g8fqSPWG4nJycp2e7m5iadPIWtnk11Qe4aHU9sKDQp+znRKOURRi/GIygypCPa\nbDb28eNHu76+ttVqdbCE0u12D546yO8vQS++7cnL9AMpGKsXUqe81JL1PAgPyHli6eDWDlSgaeI5\nKjUFYeVT2xpNqCgS0YY8mXrGiNduz+iIAKytpV73n4IHjJKm9ShwYAzl8gma8swn03kGSRsec4kl\nUZ9o25g/lh+TescKzN7SQ50xrQDIxo93fTTGuY9xGhfWjdlA4Lmi4zoyFtgoAyAjfKl8eHMMwARe\nAFZmdrCura+crNhD9s759vpOI0VecmfUTygjRyq7psBapy/qxiW3UY20XARA8YWJEwz1Odfgxeuv\nfxhAznnIOplBESi3bTQsWk24MHuwUFWJc534P1q7xbs3cJ7DNxMPNJTHABHxx4CsClN5amrJeuR5\nHzkPWRVHk3p10njgotcgOjAcDlOCDxI0FAhZQWsIFeuaw+EwPbgc9zVRPN7Y8B5Nx7Lw+NM+08P4\nPePJkxd7pnWPcVRjWtdqB4NBeiobz6doPCm4wMu/u7uz+XyeHo2aI+YDXtDp6Wnyjj98+JD403qZ\ndO2djQKs7yPJbLfbHTy3d7/fH0T5oNdwHCm2WE2n0/TgFxhQKA/RAH5UqRok4JHzVPiITpz/DtD3\nDEbWucPhMHnVHAHgvo7GgPcb5IrxBLmB17q5jTmkh9RoXzUph+Wu8wv9yzjjzeOqquz29tY+fvxo\nNzc36RnnamR4ztFz9XyOXmUNmSeWZ1nrO//HlFNE3iDHPbyuGN2vglerigcPBiAncjzVo+J2eYYC\n8xABhMq6zhpuSx7I1gGl/tYElKOJUHctGyNQRE3XzVjR4NQo7sumYKx8oe9y3klTQ8Ub25HH5/3u\nGU25+eWBsj4YgK+LPBCtH94ejAvveo8n7l/sxZ5MJjadThMgwFjVNWnVN56hAHCBh7RerxOAcT96\nhhafQgd+ut1uAniEsAFenU7nIFSfM2YxdqC/8PQm7W/PqEN/sUOU0wk5MFaDXvvTI9XlOiYi4zoi\nnkMcsWmi57xxhqWJy8vLR+eoR/cpH/h+TDoqIPNhG2yt5Y4ljIAwR54S0HAO86F1KtDyNbl1MVix\nyj97tKyslGevzVH7lN/Im2DFmfOMn0veRNLkDlUsOVB+Cm9e+SB4UVhD1j3u3kRiMGZvqd/vH4xD\nVeqeTDxZKW+5JxpF8oCcvedN567He85Dzikc9kyRwYyjKZs8co/7iD1khAaRdc7Xe8AC5Yvw9Lt3\n7+zbb79NHqrKzjNKPUCBTO7u7my1WqUjXxGq5rkO3QKgG4/H9uHDh4OtVljLRB38TGbU1+v1UvtR\nB+pB33K9nU4neW273c7G43E6KlYBgdvY6/XSMbVVVSVvElFEPY61zuisqiqNH14rx8MhsD6t/aF9\ninJye7lzRhnvikEk0HsMqM4/bd9isbDb21u7vLy06+vrg6Q9rZc/cySS+TomHd1DZiZ5DcMLV5s9\nVgoRKHvfVfFHa8h11gyDe53Fz++qpFXZ6/dcu3O8Kl8qEx4obTMq21AdGHsemtdG77PWk+NBr1HF\nbfZwOluOB24Lg3JT4NPv2mY20mCYPiWhJYr+aN36G+oCKHu8RcYryxSgPJvNknz1nogv9qawlQSg\noGt1+MzEnjGWJC4uLhp5dB5vbISBF+wxXq/XKfGsqqqDMcRLR8Ph0C4uLhI4skeOV6fz8Ix2ABHv\nJ4ZBwPd5SWgcRoUnd3Z29mgZjtvd7XZtOp0eGAJYkmEHJEf6PxsGnKDHyXSentLPbUPWiideglwd\nIGv/r1Yru7y8tKurq3T6WsSPxwuD87HpRZ/2hHduBFM0EVVReAThYRJhfcazjD0rWcuuA2Ouk0GB\nQ+F8HzqYrbvoJLCIIuNEea3zCqL76ur0+icCYVYmsKQ1C7MteUDPvCjfAL7BYJAyb7FemZMJe5J8\nNGKd4oqMDx0j/X7fLi4ubLVa2adPnx55J03kwBEgbyx78sJ9AIOchxwBIdYjATy5/oS8tFwG5M1m\nk+ZqE+UHHsbjsU2nU/fcAL5e79fPHi/r9Tp990L7+H5ycmKnp6c2nU4fPTrUkyXqxXWDwSCBEsLi\nIAYEzs3gqCPWtler1UGWN/eLygAJhTAk5vN58tSvr69TP7TRS2zQYL5oToGnO7Aur7k+0ThgIAYY\n6+EqOQ9Zy8X2w9vbW7u9vU1r/HXGLowaziF4KVA+KiCb+RMh571FwNdUUa1WqxT+YY8EL+YrV7YH\nRNwWnSxVdbhmpWvJm80mHR2J1Pkm68wsu9zgxjWeV6OeAre7DSh78oYMPDDWF3ips4LryANm/sxt\nx6R5//69nZ2d2cePH+3u7s6tG2XAc+H1PvwW7VOPePMU82AwsB9++MGWy6Xd3NzYer1uJQc1eLT8\nnIHEhgZ7pHX9z94xtjtBEUVgrIYp84H1eYRrvSiE8oT+7Pf7dnp6aqenpwcZ654hjO88Jvg/yASe\n8Wq1Sltd4BmzYcF9ipA5zmb3ngjHdfH473a76eASrkv7F3MLUQSEwff7fdone3p6amYPHqP2AcsQ\nx4men59bVVV2dXWVDNUmWwO9PgJI3d3d2cnJSQJkdjg8vQVDhLcWeXJj6nQOH0ihQAyQ5vVkL8ms\nqr5GGJbLpV1dXT06CjUigHVVVQfGjbb3WHRUQOaJzgPa7DCcwiEeJr2Hf+d3WFqaIIKB79XtgVFU\nfw6QUD8rHJ706EC8swXHFpa2Tevw+IkMCW5jVC7KRvnRWrcnD743951BQIGO9343MQoiEFYZeX2I\ntU/I38td0Do0bL1cLlMCkRfZifhROauR2LT9Hn85HiK+IjD36tLxw+vyo9EozOzNjWEdF6zgcH9E\n7CHjABAPBD1+PL7MHnJN9ElTuTVNVsAA4sgzjnjSBDk+j4H7GZEMzQPodDqPch04r0CB0OPB7OuO\nk9lsZp1Ox2az2YEBquMsp0O4P/kkOHZKWEZsmDV9OAd7w5AXv+tvGjlRgw2GEIwdjtJExp3+pw7f\nc5J5PToqIMPa4smA/YFmhxav2ePnCzPlQgK73S7F/r2N3Gw1KcCBPAXEv3nepw5ELqfb7dr9/b3N\n53Pb7/cJCBDuwwDkhw54fLHhAmWgyp3bgGs9L1llhwmx3+9TEkodKDDxZORJxp+h6GCpnpycpLUv\ntujb1Mt1R0CN9mISj8fjtPaJOj1FDSVo9nBUIsoej8f2448/pu0syg9fC/kqryA9QSzqU4/Ue6oD\nYx2n6iHzPTAouQwG4+l0ah8+fHh0+EITgmx5y1PT4wjBAxLKzs/P7d27d40NWA+YoZSRkIQDSlar\nVZYXzu5GuBrlRUYZ+DF7mMuIkm02GxsOhwfeKXvu/Du8Ss6wxjGe/Fx5ritHGNPYFrhYLOzy8jIl\ntmEO5IjBrd/vp4gPP7mP+YDe2Ww2tlwubbFYpHEQjQVEFTm7n0+Kw3d4zmx4wzBQo2+5XNr19XUK\nVzd9rjXzxN65HnJ1DDoqIGuGIAZZ5BGqpxBZ+DyhoER4/ULDLtohWi/Xz+RNaO8eVpAMzEic2O/3\nKbORrTju/JwclLfIu2ce63hWMOV6cxQpQM8z4Dpg0eOdAYL518xFj/eoPZ6c8M4ezWg0OqibywEv\nCmKbzSZMwvLAWH9T4FVjSa/1ZJ2rKwfGXn/o+rM3r9QwhIGj66URXx4pD5HyUx0AHhCuhBKsA0G+\nl9uB7+rZaf9GRrsmTqoM6vhB2ZqIhPvU6GLiZTHOmmf+PflFPCDjfzweW1VVCSC9CIYnE2++8H16\nPwx1jUZEclNZ8yvnKed0GRtjKjdPRpEcPS/5mHRUQMZaHQSD9QUGZh1wXsdDobOH2+12k6LcbDZp\nPQV7ByEoDmlh4OWEy8AQKQUNvcAYwPo1DjtgXieTSTrKbjQaWVVVj9bgdABh0nG9rEgjAybyCEAI\n8SsY5ygalJHS5wmKiAUs6NlsZr1eL20r8cJNMGA8ytXp8Y2x0+127cOHD3Z2dmaXl5f266+/HrSd\njYeons1m82h9ig0bfIac+T/1ajudTjIQYEwq3x6Aq7cbedraBvaOPc/UA3m84IVweDWqk9ugZes6\ndm4+KvX7fXv//n16xrHy7vEQ8YNreS0boVqPcrrAmxt1fHD0BmMAiV3sGUcGC7ZjYe220+mkZDSz\nh/Bu3VIU+Oz3+/bhw4fkfbPnh4hGrk0MsvCQ+WAUjtJtNhu7ublJT1TiHAIPjOH1wguGh8yeMqIN\n7DmzfsXcY0zBM62hhyLjQ/Us9yHkxPu7j0lHBWRdz8Dnpgv4LAB0Kis8zY7k7RM8WQDQvL6rwuX6\nPKPAAzZWdJhESAq5ubkxMzsIZ0ABsGHCYU2tQ3n0FJ4OlgiMtVxe42GvUPtKeYlAWWWiwMxt5XA2\ng5q3hsbtbAogkYzMLIWul8tlVklBNuqF4KUejcqiDiBBvI+T71G+6+RbR15/1AGhzgNOxKzzvnJj\nRQ2UXP1cTrfbtdFolJKhPD7ryJsH6iFHfGg53nxtygPKjDxkXgaL+PG8+91ul7Ye8bV1fQXZ8rIa\ncj1yS4ncbja4eO1bdShnZEdAyLyxxwteOQ/H85R5rEbjkLc1RvUrL/pdeXrTgKyhYw4TworSEDbI\ns1TQufAm7u7u0trxYrE4GAjoDBwEDmuqqqpk7alFkwtxsOBZIe33+5QpenNzYzc3Nwd7DDGYoXDh\nsWPgm5mt12vr9R6O30PZnheinlmOVGnwnj8MQvwHQwbbhHJlRn0UARPAF1mYd3d3B4MXExdRD8iA\n14S0TvY0c0ANgiwxgRH2ZINIlQf/jjJ//vlnGw6H9v79e5tMJgf1cSIMA6XnKYM/rB3ythceN55F\nzuVEnoUnDy+k6F0LntkbPzk5SdnEXGbUByAdg8xHm/U6zAecysVzo679OV74cBLdehQRZ9SybD2F\nXceLmT06NKSpsaQvBeec8+ERvM+zs7NkHCCSVgfq3hiDwc3GdqfTSRFEnFxWFyVhwOPnb0NX8X5k\n3pcc6Sq8w/PXkHUbwwp6ir3kY9KLeMggdBg8RN5Ejv/1ev4NkwXbE5bLpV1eXh4ADa7hNQQIidcw\nIUiQeiTKCwaFWstV9ZDQgMQQbRMmi9nDc00Hg0EKDXmJEzyZFCjqBq9abrgX4XXPM8ek8Nro1cFU\nB8wchuNMeLQf13HiGhsIarCpbCNgYCMGpJY05MLXMxiBH4yvz58/p+QmPiEp4iUyIFAnlIr2tybv\naR0cdcgZSdoPnoFXN/+q6uFZ4XrwQ1Ng5ro8wyQi/h8GNuTeRoFqFAlla3Z1E+L55emvSId4vJgd\nHnDBY6OOmowz1MPvzAd/hsfJa8kIWWu7cvqBQdnbGockOoTHc+v2yh8DM4eJ1VP2PGTVDcCNph6y\nR8wX6j8mHX3bExO8HyhnfPau9SYuXldXV3Z1dZXWbdnj40nBCh6e7H6/TwowGvgaivL+45ARn+oT\nlaEWJGcfw0BAKJ9PBPKUMcr35KwDG+XyGg9PegXwnBLxZKD/MXmKmicCABkAxJ87nU7a3uLJMCpb\nZRC1ZTwe27fffpsORFADBe8KlCh7uVwenA/clD/9jxWHlsGyZXmzJ4Cxo2uFkQwYzL2xxNeZ2QHg\nc0SjToHV/df0fvVCMX/qlC1TBEhmFmac4z7lib0iNQqaAJbOI7OH3SaapFbHT/Qby0sNedUb3rzG\nLhCMMZV1xIfXNm9+RvMjajPLiUPDOUDmPA/lw6vf4yE3bvQ6NfKPRS+SZc0Eq3S9XidQ8yYTKw0G\nlN1uZ1++fLG///3vjyYBv0NIvN48HA4TIDQJk+h3Bg4AKbYhIMGC7/UGhG49gfdldhg2Zu+NPVyd\naCw3D4zBJ5Ld1HDhDMYmQMayrctkVL7wDi+ZH0OnJ+7gOljrnmHSZmIrTSYT+/Dhg93e3trNzc2B\nUmXFi8+8przf71PS3mQySaFr9QCVL107Rdm58Jo3ljqdziNArusHlV0kLwVinsM87nX93OtnJs/g\nyPGg1/P84SiY3l9nlKnxySdyefx6vLHC90LMHvhFhP7n9uTkl2sT86hRliZ8YV7DYUFEBI5Dk/nl\njUWNODUFRK9cDV1jHuQ8ZJYLy4cdOf5fZZUDZYyHf4g15EjIdZ0RCW6xWByc7GLme4oQEgSJjkFo\nmIGQsxEV3HVgscdt9gAsePGkjjxIbROvq/O6MxSiZqLjd09hqRJFpiaS3aDQvDZyGVC4HlCwQtOX\nR/w7W9paF1/L7QBw6/iIxk8TI4uBkMOE3iT02oixhKxxrJXpmr/ypS8FO4SDdc1OQQ91abnqoXjz\nqq3xon3FRl3knUVy17EUbdPxeI/6KmdUNG1fLmQaeYORso/a4Bn4XnlscER14513J+SMY0+2quuY\nFNDqDAsGS89Y99oePae8CfB7dXk8e7x7c6DpfPDKqrvmufRiHjIPAF7/agLGWOP59OmTXV9fpy0K\nqpj4HfWxEuEHmeOaqqpSkgATDyZPMXY6nWQc8HGdqrgjMOaQLSx0PDUHhoMmHrGR4Sl3GBqoF8fx\nRVY8f8Z9MHR4Y73ew9Zgk4mLenmNBQpeJzPADUCNrWpYO2QFCrk0XXNj0rCvnnvO/ce/wdLH4SYa\nQvPazaDDxhj/jsQeeGzeePaMG86H8JRbZLzVKSBVVlj3g8ekez0jRaoAwPMS41PnlYI9e2uILGkd\nyrdHyiOMAj5IqIlC9Yw5LtNrQ44wh8wsGffMSwSafFCGzlc11HKg7LXNzB6Ffb1r1UBQz1Wvqaqv\n+Qij0ehgeaqOtD3sKatnHBlMGuV6LvHYjQyA59KLeMi5ycrX6X34DGHyQyM8kPTe0QEAQAAeEimg\n+BlMtSMVlPDiyawTOtcxqpz5xdsXNDyngI+yeF3azFKIyZOvgo0q3khhRzLwBqFOQACPN0m0fpYt\nGxlepjW37TnWqrdsonzyEoKZJTDWjHoPHDzZqmcWKZGcMoxk0bb9Sgqg3HaO3kRGawT4OjfqDAPv\nPzYuGVzq7lMevPI84zMqQ+dWHaA30Q/ePKobA5F3GPFQp9t4Dtbxx7/X8aLjiY1YjgJ67dWIiCfL\nyIiuMyiQtNZmzLD8cvrnGHT0h0uY+YCADqlrLFuxq9XKFouFC/SqUEEKVvCG2crGYEAmqTeQQBho\n8I6x3cpb/9EBoR3Ia8lV9fCkqqqq0hYtyAqJFrwGzPuw1+u1zefztAWsqqp0rB9b0LxWy/yx9ei1\ng985CQVhVjYYmOAJQfZ6bi/Xy/fycZuQxWAwOPAsc7xG5Mmf1/Ojyc2KqqqqdLQgHgOo3r7WpcsU\nfLJSLkSp5eg4Z2PA81g9xZQDTS6703l4sD3GJ45G5MMYPCOR37n+prkHSmgPlgog46eWhXtQXlOP\niQElBxJt+VEvL2dwcBs6ncOHLUSh9Da8gZ+qenhMZHQdXkjAxB5mHNChYxLtmUwm1ul00jnat7e3\naSzrGEcCMCKIutTjecY65j0DClEpjta0IXaGjuV1K73oGnKk6DzLTT0J3dvmDS7Pa+I61UPGYEPY\nkutuUgd44rblZOEpRFXWZg/bszhJgIGYZQIw4cNRAMicSGF2eMY1g4YqFp0QnuWug9+TAfOas+Ij\nowp9BU9ZvSM1cBiEuDxvMnrWLX6DbLQtTJh8GAOcQKPt8F7alqYUyVgVbwTGbcYprmfjiXMeuG+b\n8l7ntSgfKhuOHDWRXc47YgM0ulZ1SM7A4e/Kex0fUV9580/vZTBvArq5OcLlstEbkfIQLWNxW/ha\nDW977eWlKe33XN94c4X7BUuY/PQ3bRvLyJMjz+e2c7kJvdhZ1njHCxYmPBMs8nsewHK5PDiIvg4o\n+aUD6/7+3m5ublIn7Pf7dJQlkgy63cOjG5n/7XZrNzc3Np/P01F1Hk9NO5GBGMcyVtVXbx2Hr3ug\nA3ngQHxY+vCazSxlfgO4cfAAZ3VyohrLCpnwWKtipQsZ8cTj9vDyAurDwSfo5xzoaX+ZWVpDrpNx\nnRJTg6aqqrS1ih9MHk1s/Q2y9ZY9PBDX5Ch9slBOoXK0A+UxOCp4aF81AcPoP/Qpe5S8lID+jO7H\n/7zu58mISRXofr9Pc4T3bjdNPuI2RuCXkwcfy6hgzJ/rxqCWzbywp+cZeHwveMHciNaRua46/lTX\nIQKYawO8VzyWkyNyqjdAVVXZaDSy7777zmazWTqYJaKqeogg8uM/OTLU1NgDLx8+fLDZbGY///xz\nOlmxKYGf/X6fdgxFeu059KIeslqMsFD5PF5cxy8+oxr/e9aL54nw9dg+hbNTMXgAOmYPiUdIIGJF\nA35xXrX3mLYmk9ED5U6nczDwOQQKD9Hs4ZAT1D+fz9Ok0SemIPzNg4RDfWb++gyDMveL9p3nKXjr\n4Zi0nFkZTRy1OPGOMQBFxLzwu6dwvHHIISYoNiRTKbBqHcone2xapzcWWUb6v9bDvzEYeJZ5ztuJ\nyvXkE/UL5zdgXDJ41AEse0dNwVPlqOH+OiCN2pYDo+g+jGEGANUxyntTUM79pnwxePNabFvDJMcf\n6x0eV3oP88FnS+eWJngOT6fTtCwSjTuQnqfgectNgbnT6dh0OrXRaGS//fZbVk65+QC9za9j0ot6\nyDqQWTmxd4LfYY3j8VhtPGTvd7zDc8N5xrCy4KGrB4lr9vuv2bVfvnxJB5J7oBQpich4YGDAfxxS\n5onBRgrvL/YUM4wFVoDw5Nhj8fqD+w/H26kFiPqxng6PnU8/2u/3Bxv49VzanKwY8K6vr221Wtlo\nNEpH+/GWNVCdMlKDQ/fx8jjhchl8tP8iQNCxyvJlYKnbE59rS13oW5W3t87ctB5eIjF7fFZ9pAj5\nNyjfaL9mDiQwD7DcpIYZG891YOPJo04WkREajQXmoyk4ezL0jLVO52HtmNds68poAta6vU11KBOD\n8Wg0erSW7dXH8wrnZ0dPD9MxWlWHGf98PGdbqovqcJ0554GXDY9NL+IhR14Lewp6yDc8PpxXvVgs\nahvsTQr+DOWLuviYS7bSer1eWhfE5AXAzOdzu7y8PDjj1Rv8daDsATLaD8CEooUsELIDmPB7DpA5\ngQ3ejJ4upR4c+EffsGIHgR8cjIKnbrFxxZ4xJ3TlQln8GYrh5ubGttutnZ2dHWz3UI8/p/xU5uxl\nqYJlD/Apiph5YXlxSN9bD80pFq/+JoDMywt1W1lUXsx7BMiaUOMpf3zmzFrPEIr4QvsYkHmJCTyq\n7CMPTcP4TRR6m3Hg6YMm1NRYQlQPYMxzoWldEaGf65KU1DvGs8brEvegY3GNLgMwKWaYPRy9yccP\nR7L3CNep7si1M1cWeOBlhmPRiz3tCQpOFQkDHw9qDQM8xYtQy45BxuzhcHFkjmK9E0lePGGxP1Af\nW8jtU/5yQMOfFaTNDhMYvEQm7z7PAFI5a7gR4M9ADGNAFRw/nWW329l8Pj947CUDscqG+zeSkfdd\n5cRr0zyh6jwRlWsEhpExxUqBFZHnleh40HHAwMz9rPw2BU3te+aZeXhq0o9nyMBo1Xmrc03lpwYa\nJ2rm+ME7RxZ07d4zyiKdEa2pR/zjt9w9Tca3169IxlytVgf/R/oD/CPDPzJ0I9L+ZXnt93v78uWL\n3d7e2u3tbbYtZg/ncDMPniEW8cDGouqhqA+R38LrzpPJJDSKvXp1XuC8h7YhZ+gks6dl/NfRiwIy\nK3rex2l2eIoT7uVHKtbtFVPyJgk6A4qYvVwMLPCi55KCD+yD1kQcVsI5RRDxxaFilMmAzKn1OY9K\ny0R7USbCfJA7l8n9owPWzJJnhMNQFouFff78OT3JCf3qySXyVLx3yFCVPcpfLBYpRFdVhwlpdYDO\nnp7uaedrtQ/ZW66q6iD0ym3URDc2AFneamx662E5UmDXelimzFfTbFwdpxpq73QeDpHhJZFIGeMz\nloUAJk2fiax6A1th+KXtjsCNDSrcCxmqslYlHx1zygaiylHHtRKWwa6urg7Gfq6sXq9n0+nUxuNx\nihg1iX54hit/3u129vPPP9v//u//NnrYBrY7wVtvOr54XFZVle5jJ0D5BWHe8gEjp6enjTzUaEzC\n224DyOj3u7u7VPebXkNm4eik5pc3QFhRgVTJNK1fJ1jkLcFA4BAYSBVnRDkw9uTi/cdleKCb+90r\nx/PK8Jt6N2ooeN4XDBMoUwUTVTxcv/aBKlKelDlQ5ihGE8/E44WNIC3DU85KanBw6Na7jutRwwfj\nUPnwLHzlM+JdweipFnwEzl64XPveM7IYRD3lm+OD69X9n1wXvkdlat81Mag9A9OTvd7jtY3lgVwM\nXlqK7oNRoMtAXlvqiMvGvILXySHrqCz0Zc4YaArMXj/gf092wAgkeCFq06Zu0HA4tPPz83S2QJ1+\nV1JD/5j0Yh4y3vHiEDGHh80eABlKv9PppJACe0SgOmDSz3gHf7xlSNfaQBwm85TAUykCwk6nEyq+\npoDPHjLKBIDBM+QQNtrEvzGh7cvl0lar1cEDKxRgmAcQPzyjqh7WsRXE0N/gg9sFbxxZ8mYPx3xG\n4MlAwuugGF+RkaVGDZfFwKLr4xg7aDt7T17IHDkCnNGa69cI1PkaJvYI26whc3nMs3rIXnJjpJix\nVqjbYnJgzO2FPkCoUsGd648MEJUHIi0KgipLz4hgI1O9u5xxzryu12u7ubk52OIYlYHkqel0arPZ\nLO0U8RKp2uim7XZrv/zyS9pGWed4gIbDYcpW9pIGo7arHNAf0fjV3xHhnM/nZmbpKOVcwmBEHz58\nsNPTU/v73/9uNzc3j/ReXRvQ78ijOSa9+LYnVozq5Wgj2atSJZIb7E1Ai69j5cbgxXV43gBTZDnp\nfzne1Crk37zPTQBalTi3l0EsVx5bpN66vseXfue+5LrVmzOzrGIBH9iDqJMnp9TNHoCF3yMZ13lM\nuIZfzDuPa22DZ8A0UQTKZ9048Izhpyhs7cfIUPSAVYHOW7+t48Wbq6oj6owqT4d4YI77lDwvTo1o\nncOeh6cE7zQK3evc4O1FamDl5Jnjp6qq9Jz5psuDkF/u3Ptcu3NjE79HRrbZg9w4QfIphGTe4XAY\njt06Yh15THrx5yGbWbImODlEs9RgDeM/eExshTZRmDm+WIh8DrQaCB5gq+JmfurkwHV71ygY68Rv\nUgd/ZyCEN6Oecc7rh9LFWj6v6+c8eJYvJ2DBEOPJpiAGnjX8y4YBJ/V4ngXzjrYjAQ0PKOETwDyZ\neooL7WAPS19qzKEsXbLxvFyPFPTQpiaGGWT7FA+Z69axwmOpbv1OQQNr8AqmEXihfj5tD+VoLoHW\npWUyEGPrUFU9RI14GYPvZ/BRvqKwufKg87zT6aRjgdm7UuMA3weDgZ2dndlkMnG3Gem93vj1+Nls\nNslDjE6u8ggHggDM2i6L8LzXNtTNifv7e1sul2Zmdnt7a/f39zaZTFIuUFPy+hVUZ0zxNW0wqCm9\n6FnWrBgBgJhg8HhArKhYUWu5OUF4IOcNUFU2Zg9hOL6uSdj4KcZB1I66723qwHvk1aiiZ8L1XiKS\nF6aOjAeAsBoD3DfoZy9qwmWqIQCKwIbbwFZ1XZ9G44aVCK8dsxGhypy9Kk92OTCKDAPPCFI+WS6e\nJ5Kj3BjJjaGIWG6ecdBE+alRAIPAi/rkvCw2Uji5ywPznNy07d5cznnKMDSiCAnfi0OLcJJgEzCO\nZKpzc7lcphBwdL2WhWTYuuzqJuONZZzT6fgfThuWn/jJeE0JfEWRkuj6iLdj04sAMggDFp4K1gH2\n+/2jgcUAoN5zbuBHdfJ3/ewBsnZMU4VTxwtTE8X4lDoj5ex5NwpsOqDRDxyx0AS3XAhT24G+hEGG\nftQ9pfjO4wJ1wZNgg41Bjyc17gEIw0P2ktLqqNPppC0evAaqGbvMr5kdrFEqqHGkoQkYK/h649Jr\ni+eF1BH6Hv2GtX9vC120nBOBAh/s34QPNWRgyPPzqD1PGSDtgWu3+/WI3PF4fJBAyu1g/jWj2+zx\nGjIbBtoGNjZxb1VVBwaiGpf6eTQa2cXFxcGeX0+PNAUOyBI5PU31DMuQk7rakgeIEc/cTr5ut9vZ\narVK7clRZBRh/MDTr8vneC16cUDGAEZ4iI8r5LOjefKZPew1jcD1GLwxIDE4NFV6deWzQm7Kj/7W\npj7vN2/9TZUpD2oGZN4Diu+ep+R5zSgXk47Dp96ZtAzQPIHAr0ZMIi+GjUAAMoMxK8GcfNF/uudS\n14xZYYMPbp8HLPp83yZ96oGxjk9V6MpvEwWKPsYTn5T/XMSF69bP2GqCZJym7WeDEoYdZ92b2YGs\n67wdeJt6Vr56atzHzA/Lg8FYeYBxwGVyNE633EQe9WAwsNPT04NQtdeupgQDF0s3OfJ44qWbtnUz\nuD7VM4Xsce6+Lh14n1kX8/9YwsC8jIzL16QXBWQQAzOHhiEoVlyeVdvGkuM6zeKQNV/jKWhP0TDx\nBPY6XcvTe3N8P9cI8TwqT5miT3QtXwE4AmKVpcpR5QJjjL0vfqSfhjbN7ADQNVTsKUzwy0DMe8kj\nz05JJ7X34ut0PHDmZwRcHg+58er1b10bcorPU0DenKgzBnL14/3k5MRGo1E6n5yN1ajNOnZ52YQ9\nXIwlfXleJNaQ+/1+Mow4WsHRDy/E7tXDoOzJGnzO5/N0EqG39MLEa94wCj1v0ZN5JFMzs+VyaR8/\nfrTlculmCHuGnfIVJZa1paZGosejJplCr3jXRnVMJhP7wx/+YIvFwj5+/Jjk0UTnPkUvN6EXB2QI\nC8LjM5rZY/KUeeQFPYcX/ZwLO7UhBWOvTr2+jafQljxlBqtd1zMVbBmIo3XkNmuKVfWQQMMHw1RV\nZePx2MwsKUF9fjK8Gj6ij5UmG3fgHSE5PBQEez51AteRjj/1NvV33MOh1DYA1qQ/24Ch8ty2vlx0\nJYqKaP2gfr9vk8nE7u7ush6M8qmGPDxkfEaSKMs7IoSskRwEXcSeNkBb9/yindx2NmjZQ1ZPGfPu\nl19+sU+fPtlqtXKdDDVgEFXgJ9HlqA4gq6qym5sb+8///M8EPp7RUleHFxVqS8/R6bwk1WYNWXX0\n2dmZ/cu//ItdXV3Zp0+fQpm8Jr2Kh2zmJ+fwYFY6NhgrL/yuvzO/Ty1frWrQS3e2Z3TUAWcEzKx8\ncmBbBxaqVOG1djqdlJyBCc5ga/Y4K9MLwYJP7O/1MsO5PV7mPJN65OoNRGOTr+HlD5ZTm3705Bn1\nr/LPY9DjNcdL0z5W3qKxDXmqp6f35TzRKH/BM3pystZDNnQbZs7w8mQezSO9HqFifoQr/vPkMRgM\nbDQa2XA4bJUH4JGne9kB8QyhiCJ9XOe1tymL+WY58rXRNsyoTu5fvoaX0nLk/d9Gbk3pVUPW7CHh\n9ygEohamDvBj8MSfIyX0lHB5RG06r4kHVHePKjQv9IeytI9gheY84yZhbOWLvW8865Yf8oHQJpI2\nwB+8Z89z2e/3CeRx1rZ35jbXm1Pa3W43rdl5wBy9oOD46WHa/ghEtd88cIpk79FTPWTUHY2buiUk\nz4Ax++ohT6dTWywWjeez8oCxiC1Q8GxzD05R3gaDQTpkxtsFAJlpzgAI1+AdsmLv3PPy8aAaL1yt\nsut2u3Z+fm7ffvutnZ6eJl5ybasjDfN7hmRTOoaT1OT+iMfdbpciLXXGda4+Nbxz5PXtsTHJ7MiA\nrCEBJp7odV5X27KfSqjbE6wHbsfiq41ybFuneiyRh8VtzwGqpwByZXrvIE1q6fV6KUzEhhovHTCo\n6Poy6uAQFrxizQzXl0ZldKJ5XqWSeqBReQwqKp+2Y6HpfIl49crN/Zf7rY4XjRjUeSMeL5HBB5m2\nXRYALwq6DLCRd6w88TzMzUeMSz7MIgJv1MePN9SxGfUZl+npr2M4F2282mMTt0+X3ZrcG4GyGo9t\n+DmGccL0aiFrs8cWL0g9jNcmBebnUlvr76VIlVe0/otrPQ8sup7Lx+foN5AXOjaztJ+QE1gYhHGo\nBNaSITt48uv1Oj2uE4+DhGes20ueAmhNwBnXmT1+NCTClZrZ+hQFwJ+bAGKdcVEHxjp2dEwoX1H5\n2E+LkLUHGhHI6JjxojbsteYMWURh8HABvMwsZW/zgS/qPXkGnYIkG7m73S6NTRyOFBlwbCxMp1O7\nuLg4eMwi6q9ro/Jg9vAs81wil77nKPq/zoBtA2DKR2581FETvnJ1ezJ5CR1+dEBu6vpHHtlrNFr5\niUIPz7Um3wLlPIzIA6q73gNm/ay/ed56p9M52J9eVdWj823Vu+JTsaCgdXtTdAhIm/5sqzzqPOQ2\n+589eq5B8Zw6c7815YXBJqpLPc7IuFOQ9mQS8aWJgd5+8qZbxbx5wG3gJZLNZpPGgCZEedEZLN00\nAT72HCM+EUWK8nUifurq1rYfi+rKazIP6spoE6lRjHgpXHpVDxlUp9xfw3v0+GmjfCMrH+W9dhva\nECs0HmhNX1pW0zrNHnsP8BoXi0VKsun3+8mS7/V66ag+eFhVVaVMangeOJM3eiIVgPuYOQERNQll\ngqKx8lRDIsfTU6iJQdaUmgIdDDR+EARARaMsbULWyA0ws7TtCXXw+rHmtagyjgwFvQbjG9n+ejgO\nE9eF+rE27tVTR3o9HtJS93SjiD+P6rzX51Cb8qL2tNXnua1rkMlL6/WjryGD2gwgtiy1k58Dbr8X\nKL5FMM55xPx/HQDXldeED7OH9WSAJA596HQ6B0etYi8mPwMWihmhaXgg0V5j9hBeGoxBniKPrnsN\nXjx6ytxS4zlXp+f55ULn4KfOaKobp7l7AXJYFgEgI2GNQTkXyqwzuDi8zh6y8lgXus7NWw1Pazn8\nG/hoMgeaeJWeN/2SjkjOcG1zffTfU8PTx27vi3nIPCDqPICXorfuqf4epAD8nHWZp9StA5+9HbOH\n5K6TkxM7Ozuzs7Mz+/777xModzoPj/L0jvX0vLljUpNw3muBPuip9T3H4G1TZx0Y5/jRfmwC1HW8\nRHwpj229tCjkrp59ZJBEYOe1yQOMXNujkHVd/zf5X/n3+POojXzbhq+jsZ1rz2t4wHX0u4SsC70M\nNVVW6k08dxC2BXCexLiXD47Z7/c2m83s9PTULi4u7A9/+IN1u92UFANA1i1cz1kzrqMmkzXnsbxV\naqJso9+bgGQbJd3GC3qKfLl/+LPnET8VlCNA1sTCOo/Lk9tz5i1vY/Tq88psUsdToy9PHQtt6JiA\n/1pA/aKA/HtbG4Wa0VsCjybeQJN7fm/6/zL2j230vHadxyD1jl+DXmJ8NQ3Tvga9VN1PKTeKaLwE\ndaq3NroLFSpUqFCh/4f0+2z8LVSoUKFChQodUAHkQoUKFSpU6A1QAeRChQoVKlToDVAB5EKFChUq\nVOgNUAHkQoUKFSpU6A1QAeRChQoVKlToDVAB5EKFChUqVOgNUAHkQoUKFSpU6A1QAeRChQoVKlTo\nDVAB5EKFChUqVOgNUAHkQoUKFSpU6A1QAeRChQoVKlToDVAB5EKFChUqVOgNUAHkQoUKFSpU6A1Q\nAeRChQoVKlToDVAB5EKFChUqVOgNUAHkQoUKFSpU6A1QAeRChQoVKlToDdD/ARhdMnlinYRnAAAA\nAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 3.0\n",
            "    J = 8.3183e-01\n",
            "    grad_norm = 3.5587e-02\n",
            "    penalty = 0.999\n",
            "    mode power = 9206.108\n",
            "    dip power = 9880.194\n",
            "    coupling efficiency = 0.932\n",
            "Iteration = (13 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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j0cguLy+t3+9HQU354uTI3W5nq9XKPn/+bPP5PGSlx/oh9huDMfa147nMKYXv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\nAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 3.0\n",
            "    J = 8.3035e-01\n",
            "    grad_norm = 4.7137e-02\n",
            "    penalty = 0.999\n",
            "    mode power = 10448.820\n",
            "    dip power = 11232.179\n",
            "    coupling efficiency = 0.930\n",
            "Iteration = (14 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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BIk87x7fyz96t8uspnqasPY+2reFg5yYHyp7s+bQgzMlgAz4AOeKjzYBmJ0AB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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 3.0\n",
            "    J = 8.2096e-01\n",
            "    grad_norm = 7.9938e-02\n",
            "    penalty = 0.999\n",
            "    mode power = 10235.078\n",
            "    dip power = 11115.192\n",
            "    coupling efficiency = 0.921\n",
            "Iteration = (15 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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jDe9aFnjDUbu8LsWTK99fVdWjiBwOC37bbrcpgsdjLHmeW2WnFI31XGTMi9z2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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 3.0\n",
            "    J = 8.3270e-01\n",
            "    grad_norm = 6.9472e-02\n",
            "    penalty = 0.998\n",
            "    mode power = 9589.003\n",
            "    dip power = 10283.176\n",
            "    coupling efficiency = 0.932\n",
            "Iteration = (16 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Dp+APMtJut+3m5iZls+uWSo3aRN49yxD6h2Uc83Y4HKaDZrrdbgrJoqzPnz/br7/+aovF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\nwn4CAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 4.0\n",
            "    J = 8.0078e-01\n",
            "    grad_norm = 1.6094e-01\n",
            "    penalty = 0.984\n",
            "    mode power = 8125.545\n",
            "    dip power = 9036.899\n",
            "    coupling efficiency = 0.899\n",
            "Iteration = (17 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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kh6fnyTJ/sGEDgweHGb158yYoHNQemJl9+vTJfvnlF1utVuHwG8jHWFicaVzHtzqPmOd+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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 4.0\n",
            "    J = 8.4291e-01\n",
            "    grad_norm = 7.1355e-02\n",
            "    penalty = 0.979\n",
            "    mode power = 10514.818\n",
            "    dip power = 11176.390\n",
            "    coupling efficiency = 0.941\n",
            "Iteration = (18 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ppuNTHKGYvaIhvNcZZG2DHdEmxjgmz3w4RYpOMf5XhwNFUnpt7P4Y/cFfWKNM\nZd+UZro8onhw1TsXhqbkRdvAd84yePPO19c59J7cMn/HHMBDDYpn3D0cUkYZOsHjHQ8OwRHjVTjE\nGHNbz2Vw6+DZImSNWDlN7RXjKHjGwWMoj9G4b3j2nDoHc/N18Pi9jeUsfLyXmRkgJkCpl+LPL16r\nRL/e9exYpA4AiQl+3W86Ph0rz31ZlmFNFrgiekaGpC5ib+q8qDOFgxB4Xcu7R2nMxrhJcaG3ns00\nMLPwVJm7u7uwfJJSjLElBcz7arWy2WwWnBqmkzcvyqu6rYj5VuXI+42datSBYJ92zCCnHAWsz11f\nX9tyuQx7uGOKkPFhWrKBw8MNUJei1cWKl/ebmYWCHqYfnp87mUwq54urDNfRgcejfMAOkz45arfb\nVfSWjkGdE5YNpYHqjabylnIUGIeUUQZ9NS38teDR81DQfeVwPFF79JeCo0fIqvC0gEbXFWMpa7Sn\n0ZLn1XvGWQ0y1jU5ncn4YYtEzBhzatxjwjrD24Tx2cvzhA/vrMR5LDGDrOs9KWF8ikfJuHN2Aev4\nvAFfDZ/S+xAlwWnnbrdbObVL29E+2NCo8oqNL6UEgY+ZhT3MHz9+fLSMEzPMiid4Fdv2ZrOZDQaD\n8NQn4KB8psZYIztOg3pyw98xJnassXVRDbJnhGJ44dCejx8/2mw2C8+kjfGEzrnijvnHUZNehTXj\nxvPnpYS15mQ+n9vt7W3lDOsm0XETp1CvBx34cBhvKxiPgcfl8banL54C6lTFjHHMKJvZI/k/Jjy1\nPYyH5QO6zMwqRZXPDc8SIXupY42MzHwCegzG3/m6mIfqOQb4XT/zObf6PwNHqfjM/XpRgCdAMSFl\nI5ZKl7Mi0fGyEU5tS2F6Ko4e1DkbMbprkQ0rBg8vba8ON+5HjxdMXa/GR6/Bu2fQ6wSTnUEc4pJ6\nYlMKJ+YlPmwkRheP99gga5FYE4Phpaqx5g7D5zmeyl/sHGB/9Ww2C8eQetXfqc94ITLudruhNqFp\nVoj1hxZ88vLLYrEI+6T5iUVm8W1GHr/A4fdS/TxXRVE8esYyMi3ssMf0p86bRsjePSk6Megyim51\n5DY85zUF6tSl5Dh1f9P+0NZ2u7W7uzubzWbhnHI+tjbV57HhqAaZq36LoqhEbF71o1nVSMWUI3/2\nBNNTnKz8y7KsKA7chwKVWPoUoF6+GnVmBDXE3pqUggqRZyz1hYidFYBmIZpUmsbG6zkTXqGJKmAe\nBy9RqFGu85BTxll5BsV4eHRmncGNOQSeYWSBbOolQw5w4tdms7HlcllRFDGDrEpNU85KDy049Iw4\nPyheHbsYXdiphuziKEccMerJZ8wxhVOAs+Zns5ldX1/bdDoNffF2I48+ZtWIHdH6999/HwpGcQaB\n0ifmgKruKIqiEqW2222bTCbh+cegI67nLBu28cT4GrLgZWMwt3gwDo6ERaEk5L2Jg8oOIesAtPEU\nQL+gAfiRU+meYff0fF0/GEsKmjr1TWC73dqnT59sMpnYYrEIY+TDl57S7lPgWSNkT7j599Qk8v9N\nieIJM/BRYxaL2j3wvH6t6E0Zz5TxqsNdx6dtYXzeq46pU8rJuy41Tv4vZmRin73+6vpimqgCQjTB\ndNb+PL5T5azz5PFlDIqiCA/hWC6X4bQ4bU/x83CFcU3NT4xeGi03kSF1ENkAcnW89h/DTVPnKOSC\nw6BOSEwudAkMx+9iOQQZEo7e2CCkaMSA9WwYQjzqVaNB4GNmYVkMDhDLAW+/jOkbdXh5OxgfBeyl\n2JlGsd0Vmvk7xEGP4enJo8pMTMfzfbE2PHy1Lc4GpvRYytAjQp5MJiErohmTvxQc1SCjQIsjJC9K\n8oQ5ZqTUKDdlKAiMN0koTlEnIYYTM5CnrPgajghUIXpt81g0/cfXeYYffYOmGiGnxqZQp7A44oqt\nSXpz4NHLcxbUyHlGRddHcW27/eURdJvNxgaDgZlVz5P28GJgJaq4M27evR4dcc3r16/tH//xH+3z\n5882nU5tvV67tPG+c3swYqzoUzRSAwilrhGyN16NsrAcgGIu3rLIBY4xR4CNFJ6INZ1ObbFYVB4N\nyLKqc4UovdVqVQ4YwnOCv/nmm2AQy7IMCpV5lOea8eLUJN5jj2+NGVdec1yv19ZqtcJ2tf1+X0lV\nqwygHz4eVutdsKUPDoIaY3xvtVo2Go3s9PTUbm5ubLvdBkcF2SM4KXWOWQyYn7w2PflgPL2neuGa\nGMQc2FarFZZPUgGVtqPfV6uV/dd//Zd9/vzZrq6uwhY86Fg+myDW1rHgWbY9cUSsaysMamxjbTaJ\nSNCeh4/2DUUDXPlaxYk9Ys9YKVPFFJSHn+KpODPUKSx1LmL09miWMtIxR+KQ8Sm+sTGmnII6vDhK\njj3xJebtquPhCbfnKHrt8DU4JATLIp5C8HDyHIaUg1E3N4fOk+dI8e4IGJaU3Coe7CRAoTeRC3UQ\nEKUjdc4ncoFWjJvnkLIR5BfWD3ECHIykt6eXs4HAlWlzenr6KMpKOV9MIzML68agFQx16nhRGH3F\nN7Wl71BQp0950tPV6mgfYoxjoPyp+rlOpsweKqtxlvp8Pn/0WEjVp19Lvzo4qkHudDpmVl1DBmNo\n1OYpCjaEPGg1RixUuBaE5e0TeOkBBnXM6fWlTOOlnjRSid0bA462lYk9XHAdK01NV7Gj4UETJa4C\nqPtavQiZ8VfhSeGWwseLAsEDyHqcnZ3Z6elpiMAYH8UDbSE1uFgsbDKZWLfbtfF4XLmHx+LR0BsD\nZy3YiMUMmeLIvI0I2VPkjIMXIfMacgyUNuzcoEoeD97A9jXGwUs9s+HDgTE4JhOpwRhfMk+3Wq1w\nVCc/lObbb78NuKIdXt/1HD7QBuugKDDD+eNsmNGmPkwBtSc44AO7NPhM9/V6HbZJ4X25XFaKhnjs\nXAuAOedoebPZ2Pn5ue33+0rhmpeKxs6G/X5vw+Ew8MFqtbKyLMPzyw+FsiwrNFsul1YUxSMnKMbf\nLGuavWiqJzE+FBVycMU8Z1bdluqNZTKZ2IcPH+z6+rqSrsb/3KfS+mcRIYMwMeXrCYhnYBg0Mol9\n1yiC/9M1L7PHkTH65988JYu+YhGSGmS9NzaRKUbm/zwvsMkacorZ6/7zvFs1jvjfo51naFJ4pJwD\n74U+IKipLTTeb2w0UEyjxthzMOrGAJwYF6aRRkz8m7ZZt4bsyZIaaQ9PBnVk2TCjYpwPdUhFDto/\nb+PBGrLi4Cll4AHnACdx4YlhZg/bUlgRq8OufXA6nw0MG2Tci/GzAwzDjPMLXr16ZcPhMPSzXq9t\nMBjYarUyMwtFfYxvSk/gO6q9UdwFx8ozgjyHcFDZicAe6zpjkgpSmHaYT0+Hx3SBOvHemFM48fi8\n7VNNjDrovl6v7fr62m5ubion4sX0PvefktevgaMaZD2/N3YyF09UigApA8zGCfd5az7q3Xjt4H54\nezFFAYGH1wrFz9fFPD5WyIqL95nHqJ/5Wlb6nJ6KRVIxqDN6LESxLABoqI6DmX9muPbv4RHrVyNz\nKO3BYGBF8TgrEnMK2GBAOZ+enlbGwgrGcypjY+D5QfSEdKg3jzHjhsjCq7JOzRWPS9efGV+VB+AM\npY7nVWPNFhGaZ/B07qG4sX68Wq1svV4/okPMEMOYYP367du39vbt2xAh8Zgx3yyDnDbGfzC6iIrn\n8/mjCLksy8BDfEwmjPC3335beTgKit147DjCE9m7k5OTcEyo2UOdgydLoC3P49XVla1Wq8pedKxP\nMx1brZaNx+NwWA7WWLGFC5FyUyjLMvAP5mO9Xtt8Pg/teoZKjTJveeOHiMSMs/ID+JFT8lqXhH6U\nrxlms5nd3d3Zx48f7U9/+lNlu1PKIYgtDR4Tjh4hM5LeARXqNbEwqcIAqLJQ5agKie9TBcy/ax/q\nbSrohKnhY4PsjUHx9/pmSNGDDVGdMU615UGMnnVGm42ypmdZ0ceMWhOnQI000wTK0uwhK6JGRwUJ\nAswRk1ZDe/T36MVj4WthWGDwY6BOohoRjy91npReHM2ow+T1D3y5mhlbis7Pz63X64V+PEOuuHF0\nDCOoEbJHM8YDz50eDod2cXFh33zzTbgWhoudPKSw8Run0z0nAcsbKOYBbuApjAFt93o9e/369SPn\nhPkTgGdQY8zAAX14ThTGhXe0i61Xl5eXleNBmcfxPhgMwlja7bZtNhubz+dB16oM8Lvyn9mD88By\nslqtgsMBPOocVsgAr4d713mBChwf1nUc6OHelHEvy9IWi4VdX1/b1dVVKOLSteM6+Uhl+r4GnvXh\nEiklyF4gCw0rUV5vjrXDQq7pEwDa1d8Y2BirwvIEBwLP13rGA/hqsZF6j3WGV39TRZiit44jNn7P\nAJvZI2WjXi2PlwGCysrVi465L/4ei8i9qBkABX5+fm7tdjtEJB5t1HDxg+eVHz2aevOu38vyS1SB\nBx/wWnDKSdLfeb08do/nwLASTRl07heOExdQIRLUeg6+x2uX12wRHekjJZmW3CYcGT6uE3jwvHuy\nEFsq4wgZuOAhF1yJDpyY105OTuzs7CycxKZrlzwO5h3IPYzkdrsNxl/nl+WK57zdbodHi87n80dn\nPsR4E9F0WZbW6XRsMpnYfr+35XJpHz9+DNm+FC8yACeModPphAI0LZQFHTAerGPDAKZ0Ds8nH72s\nkTH+4z5BM56LsizD9rXJZGLX19fhkZ+IjrlfnleMD/14Aeax4C9SZR0zxuy58jVeRIvf1ZDBw8V6\nhl7vES6l0NQoq9Lmd75PlTEiLd6uwSktxUeNLF8X8/ZwLY8xtX6c8kJVmauhVWOsCkSvgwBqBMPF\nQB79Y0YF7XnvLHhID79588bG47H96U9/Ck+fitGGC5+QEuTlCM/J8TxypQOg2+3a+/fvw2EYSBl6\nilA/F0VRoUGKZvybRsexLVMKWtCFNVscLYvDL1JOIbfvpayxVhtzLtiBw5OlXr16ZRcXFzYYDMK8\naCYDv0NPoA3WM8AHegMvPMnJ7CHTp2njTqdjl5eXoYAL8hxLuQIf8NNoNAqV04vFopJa1+1AfPgG\ncL+9vbX1eh2eta1GQvnHzGwwGNhgMLDz83P7/vvv7erqyszMJpOJ3dzcVLbiNQGMFylrbPWC7OnY\n+R6kzLFEkEoRYyxF8XA0KhtifXAN70UGX/BzEsryyxGo8/ncPn36ZH/+85/D9jt2DlTfcsYEuyWY\n5i/aIKvi95QFC2HMIPN9OrF45+0AfN5rLDqsM8ieMfauYeFRJcyTx79xQYXuw27qHMRAowI1GEo3\nju6VtjHh8Ayl9zsbzqIownh5DY7nmN9TfanS874DkG3BOrDnzXKEzHTh7S+LxSKcBNUkotcxKW6s\nNEGH/X6fdFA8uijE5EYdGqZ/EyXCUTIO3/DokJIrlRfmg9gYuS2OkGGYYw+jUXp4ToKZVZwUpJE9\n/mT82UHQB+LEdB3zGhwEfTqZRtieYQbdIE+cKka2hQ1DTO8Bj06nY+fn52b25SEoZuY+MEPvV5oA\nL30QBjuRGh3D6VmtVhVnWucdwE68vjhC1uIuby7KsgyV7nAM4RTEHAPVVaxnU9m+r4GjGmR4Jmxo\n4VGzIcB6AxiNB8YpmlhRzn6/Dwct4IxZCJquL2j7MYgZYZ4UTm3qwe/4Hes88Oj4Wb3w9vghFl7E\nxcDfPYdHI2MdqxouFNOg+lLHrs6EGivd8sRKn+nDqTBUiXIVKvpShcZ4syKHUPO7pvhABxR3QZHD\nm2anhZ1C8C0L9R//+MfwHOdutxudDzV8Sg9crwqYlZeXBlY61UUTHk7Ml15Rl17PigcFNOPx2N6/\nf1/hWwU1evwZRgSKGAVTTRxN8Mx4PLbLy0t7/fp1cuwcKbPTyUtLMArz+dxms5ktFotQZBVz1OEY\nYO8z+AFzjOsUgAd4r9/vW7vdtuVyGR6ogXs5lc6RP/M+9jbf3NzY/f19ZSuWzkOMtv1+3/7u7/7O\nptOpzWYzm0wm9vnz5xC1co0Dt6X6AVF+p9OxxWJhZVlWniHPcoZxLZdLu729DZG+Lg8o7ZCF4Epx\n1qt417S1Z4dgM66uruzm5ubRqVx1wIaYi5VftEHGwNhwajTpeUV6n0ZAzFzeeh9X7HE7DCnhVw8o\n1oan6Hg/o6aiuMKc6cA4xfDy+tYIXoUvhTMbTKVtTCj4t1gkEIvIIIjcn/bt9ZlqW/nCwwV0gPDA\nKMfGpm1z9ISCHuVX73sMX+2XeZxfnkNW11YKvLGh/yYAp5hP2YsZ49h3j7ap1Du/Yw7x2E44VXUR\njcqyOr7sWCo+nuxo+2zcPdmI3cf05PVQgOdc4p1lFw4OP+hCa3BSgKCg2+2GPcoIbniZps5BVHnh\ns61VH8Egc1YzluY3e1yoqgVc3ovnZb9//FS+siyDY8i0i8loah4Vv2PCUQ0ye5pgQHh82DN4f3//\nKFLBZ2YIXReFUUO6YTqdhvUorliEEkY6MOa5A8D0uj7teZrsxa7Xa5tOpzadTm0+n9vNzU2lLd7y\ngGiITxSKFZ2wcvCMk2eUNTrWqH6/34d1S3iPoLW3phozuql145TRRzvr9foRk6N/VE8yHppu1UhZ\nlRgDhPTt27d2dnZmk8nErq6uKrTBCzThfvEf9iUzD6TooTTg/4uiCFtlUGDCPKZpPs8RgbKJGRxv\nvsCD6EtpwE4U00/Tq3VOgcfHcFy1ulr5yzPsnU7H3r17Z+fn5yEq9fhTZZxfKmMcqXM0ysB4xYx/\nnWOh+CBzg0h5NBoFeYBOSUVrkOHdbmeLxcKKogjRPes63ekSczI6nY798MMPlQN0FouFtVqtYPR5\nLOxImj3MK7IN+/3eut2ulWVZyQYVRWGr1cpubm7s7u4u6EtvH7rZQ2SMrAT0OZwyZBlSETLzPTti\ns9nMbm5ubDabVQoLU0ZZceNlFF2+OAY8S8paPQw9mcWLZPkeJSz+Z+/Qq65mPNSgAVRpMJPp/6kI\nGakvFClMJhMzs7AfEaeW8RoVj4fHz8yu0a+HK7+rQvYUs0YDTBso+Bh4NPSMtfedq3thUJW+YPKU\nMYoZ/5gwMR2QskZhlzcOpoOXgcHWEcXPa0dxU8XNXrXn3Hh9ePRg/tExx/BK8ZXOK5Q7G7SUAdKo\niNtTJyUG2la73Q4PkODtPTGnICYX6lSzPHpGXemn/9c5Jh4+Zg+FTryfFjh5tNE+uTaDX8jk1C19\ncLvtdjsUyGH7FnRrXTaF51UjZDaCaAPr3nBCdYsR98V8p5EoZxyxR5yNscd3oElZPkTIfLhKTHeo\nrDB+Gr0fE45qkPmoQrMH5Pf7fXjuab/frwzK82bZSDDjLZdLu76+ts1mY7e3t5U9bQCss8B7Kcsy\nMJmmiWLGD/+pQIMBsQZ0e3tr19fXwdNlhtD0EhwHMKSZBaHUNBgraF1n8RwIpR+uZfro/lekqFJn\nP3MfaFONhAdsgMuyDELgKXVe8+b1f43uOFLWghDQycNbBZhTct4alkbd//u//xuqtofDoRsFs9GJ\nRdDAGREyDqHA3PGWIg9Hbk8dMHZoUpEyz6XOF/4HrihoQ9Tj8WQT5c9zGDPIMb5qtVqhShi0SS1Z\nYHwsD+pQ4EQuLuqJGW/PYMQUeUp+8D+cOj6HWx2lVDssV+ws8oM1uC8PP74Ga74XFxdmZvbp0ydb\nrVYV5zgFoAVw4MdEsgO1WCzs9vb2UWQaoxPmjk+Iw5nliIhR8czV15q2ZicX2VWuOdIlAqW/N8cc\nIfP6/bHgqAYZhgbAniGOkNPcPQsCMwIrGqSZZrOZXV1dhU38WkBkVo2w2aM0M9ejiTGeCifa3u/3\nlQMFsDdQDTsrIq0ER7qYhZQ9OSgtTyGkPDe0w/3z2bl8Dxf5HDvtAjwhoHCoNBJnpeml8FOGwDMK\nqpjNHg6J0EpMvp6NBCv53W5nnz9/DpXGyHqkcPF+YwXOTxrTtBpHTHhnvvAMEI83ZlRSBpkNITsQ\nXFSjdFFap0DT96n7tI+iKILiQ1ux/usUPORca088mqTa1aUD3J8al+o0GBSmLeMRMw7qYHFkivll\nZ4779fBD/6PRyPb7L0VP2BXRhC7ABcEHL42wDkMmEfuP2XlI0YwjYyyfIIhBcOWd3c+4Qc5ALz0l\nLDZXOn519BivY8KzFHUBMDBsI4E3hVJ9NshmDwRAahOGC8+qXK/XNpvNAmFBZO4Xn3e7XVhLxvpk\nSmi939hgoG30zZvbOcJJleBruhqga3SawtLoQT1YNWTsPSM9o2uI7AR5DOhdy+PS/7zfQQs4Jawg\nlMYYB58brEbCM8xNDUSv17PLy8uwB1UNuWdMWbhxGAPw46hXPXIvavaiW51PtKcpbUQzvKc2NQ/a\nRwrYKeGUPeYD/3lOQcpJ8MbpXau8rdezHPB86D0KyrcAyAW36ck/2o45uuABzzmO4YN3RH2eMk8Z\nZaaX/ubpCq9d/o5x8RGbCFrUiHt4Ke3YyHFGw6unYJ3Dn3XeoBM4KtWUNeOMsbPTpNm2OocgJjvs\nOLMuOCY8i0FmIWeFhmgXaTAucEox0qdPn+zjx48VJciGhg0dDDQKAcqyDNFZnfFhYAEEg8AT5OP2\ncG8s0lMlr06ImQWGYyUOY8l0VMWEz2osEcEDX75XlwlUOJQm2r5+jr1YWDhl7kUDnObC0Yy4FkqZ\n35XPmkC/37c3b96Es3zRFgsfBBi05zmfTqe23+9DCpXnRIvMvBf4VOeKxwI50PaQJuPUNBfvoE20\nwZGC0jym4Hks6jhpBsrLTijf6Bx60TE7PUwPNcic2m8y99wmaAF51nXSGM6qlLWuhSNkvT+Fl5mF\nJSI2yOo4xJwE/KfzoU66yhmPSfvEHnNE7bq8FHMOVOZZNs0ejtvUc6tTtFee5kgUOh2FXtAxzPNK\nE4yb17pT/KuOiOII2eOtT8eEZzXIqciBlYsSCN+x7oqqPG5LJ5sBxMPaLlKneMdEKsQYFpPNUSfw\nUW/OWxtHWzrRfC0XfHDah5UWflPmhwJH4RIfB8dtKS7sNXImgGmh48K8sYLitKpXF8C84BV9MN+g\ngErXib0orQ48emMeeYsGK2+MQecM26A0TRWLHmOGmRW8HgzBDhje2ZFSeqeiFjW+XkSitGIHjZda\n4NB6kUNKsWnEwilNr39uB/1BkWrUVscLnvOhcuPRyaMJG3btt4kCV2BDwjLu4cufeYuPLr8oDb3A\nJoYnp35VZ8VwYZ2nxX96DxxKLb5KOQuKo6eHUvqWaaCReYxOnhPSBKdjwrNUWTMh8BuvMXBUwd4V\nR0K73c4+ffpk0+m0UoaPFyI/9XjA7JvNxoriYQ2KnQF+nqjHRCxsZhbaw1oI1kOQulJPPLYmyrQx\ne1DKYGgo+91uV3kaDm9VAl3ZKQGuyEKA1tofhI/xRcTPnibjV5ZlxSOEEeFISiN3ODvoT3kBeLFg\nQunDGON3ji41QmaIKQ8du9lDQRsiFZ07/g1GAUWJZg9HK2KZgfHieeEUmfI/1hHh3Cn/452VGtOd\nnQb+X5V1jBZetMrRPJ9Whq1fahTrIg3mffC08iP6Rnu4B/yIylgtyFSFGnPQFA/mw5QxZpowveHI\nqVFvAqxPzB4OTdI59cbSarVCERFvRWP9WWdoYgYfcsAG0zNO6mhDL3AqWXkT7fb7/YoTzFlRDQQU\nT17K4iMzgQPLK8bOc4d5SxllTyZiOoX1+4uusvaExBNY73dNAUIpwDCxgWHlp96P2cMaNFIvm83m\n0XoDp/4Ayrj4rt46G0FlPs/AK6NoJMW4o01Eyp4BxH2ajua2NCLmtmO4MM78rk4GO1IsXBxFsNCq\nQ6J8woYdc8YFeDwmvk/nTT8rX4JGmEd2QDzh47nD9YgYdc3KG1tqrj0lgnfOgnhy4mWEYq+nADtC\n7Nx5zmXKICofKZ/jN54zbRO6QKM3pVndeNggs/wyLgxqwFSOFQcdc4oWnoFTesTGoHIV60/lIWaU\nU2NLXcvBBDtrMd3BjgR0Wwx35X+PBk35nWWIZS7mSMbGrW0pHx8Lnq3Kmo0rT5oqHGYEeDE4QADP\nrdTIrSyrETIbZjMLRhgRLNZHNHWOKIUnU5Uk/449x4hwNN3EE+4xCBtS4Ag8cC9ow/hqNSX29d3d\n3dlqtbLr62vb7XbhqEdOD3HboCE8c/VUFdh4Y7663W4FFyhv4A6HBes83nYET5HjHfwyHA7DSUJo\n0yvG8BSNZzSQgkXkx3hyyg3vXN+A9hCp6V5zNSacogb+eu468w3jalYtTOT5Yd7R+3mOY6nNJsob\nUch+vw8RMt5xYIPnRDCfgH6gb+yULzUUmqrHVke+v4kRYj5QucQpbDHj5AHuZ9xY13jXe+2rkeKs\nk0ZvsfEgUubTy1Q3NgXGB/weO5xEDR+i3n6/H7YkcRaDaYBTwYqisLOzM2u1WkF3eePFzhmu/eHx\ns0OiEbLn/GG+cLCIbs/VccZoGFt+OiY8S4SMz+qdsGfC65B8PadceZ+d9qORh0YOZfmw/xhPI4FC\nRKTD+HielgoWcMJ/rCxjisL7jVObrVarktr01nN5zMAB2QNsB4OB5dNn2KjEaOe9dCwcAaciZR2r\nri95/OL1jYrPVBZE50edO68PFSiO/PSd+RVzj3c1lNxnijdTKV6vjdQYmF4x3L2IhccU8/IxNi6E\nKYqHIiTPAHhj8hRlDHgeVRfwmn/dml3KKGtkFOPJ2P3435t3VeSx8cYcdw0CPCeTnZ3Yum1qPHU4\nMX/VXc8Ohbc8F3M+ut1u5aAdxhPf2SFlw+c5oUobHTvPix7IEoOUw5fSR8eAZ42QgTyUOYzicrkM\nexyZEaEAsIEce8YYlHFSCo9Ti6hi3m63NhgMzOwhAkF1LwsL+rq/vw8HsaPIDAzmMW9MCTHOHCHj\nfkS92PKjlbY4/B24LJdLu7u7q2wBm8/ndnJyYtvtNkRxiGqwbs5RshqnzWYT1meUyeE4YA+tRhnA\nFbTmvZYpRcqORlk+PLidIxqtH1BBZL5Qowy8ONLG2D1ljxccRo0ygQ/GqXOsvM9ryLyO3ESQEa0C\nH40aPKPLa3spZ0jnQPFmpw/1EnwAQ2w+WYZ4jTGmBD3jxmPFcY6gtY6pqVH1MgYpx6goikoEy8bC\nk3s1oDHDins05Qvjw46eGlPwA558xRGyp288+nj44Dqcxc/LY/w/493tdm00GoXDYxQXr79Wq2Xf\nfvutLRaLEEywvlYDB/2Ig1ygGxWfGA/wGIqisG+//daGw6H993//t11fXzc2pmgHO0VQ4Al9eUx4\ntiprzwsviod1WC4Q4nuQssbpTmyUmMAaPalBhpIHcyHFAsbB9hpW9sCT8cVE8IZyM0sqJH73aMQK\nB22xAQAN0E5ZlrZcLm2z2dh8Pg/neOOJMYiKufIbY2KBZzp7kRyuYYPMY9X1d8/hwHX6RBRPWTCw\nIUBWA6lTL80dUyqxyFKdQzgYLLi8F5z7Yf4Dndhzj41NaZuK9Lk/bhfGQJ2nWBtsdDRyqTPMDOyw\nwAHR7Ud1ERcrcE9xqtFS2sFJ5IcBaB8xUL2jjrJnQBU4EmW6KF8p7ug3ZowVJ8VL2wBwtBkzgDE6\npPBiZ4PPmI7JGHDA06bUmfX6gTE9OzsLThqcj1ikCV2gD6RgOipNMWaPluPx2Lrdrv3xj390+6yT\nD3as+XVMeLajM0EUNg6snHTi2SufTCbBAKnXyO2njAt/NrMQebPyBVPwegRXku73+/BQ+fl8XlHm\nvL7K41X8PJw5UsY1LJRQRFBKWM+DBwtnhZU8xqhLAawQy/JhvVppxe2gba+yFQoSjy7DASloRyML\nz3vXz0wn8AcOoud1flwf8455Djxa87GloBfTn40y98URacqgxpwUdsBiEbIqGAY1xnCKWPlxO95a\nsmcM+V3llJeM4BxCZtW46TiYnrzmngLFA2NFhTdnb9B+U0eDeZKdXq9f715V9hogxBxEXB+bVzXO\nHv+gD2S5er1eeCF7coiz5eHKTk+MFriHsx6DweBRFswbK/PpcDgMupezdNyPOmao+8AzoM2s8kjU\npuPm6uxDQHUKePE5Tjh8lpQ1KzlGmpkZSt/swSBji8Pd3V14ignua2qQOQrhtYiieEhbm305R1oj\ndVZgUN4wyNiywVEiBMUTZMZT31lBA29uBwZ5v394wgsOZocx5s32TB/NJLBHjf/1Pr4H88AOCs8R\nr13f39+HPeLqOUP56VoR2uLPqoR2u13YXjYYDOzNmzdu5OcZRqazZ5A5yoJDg7nnuQDtYDz5/5iy\niilvNsZc1JWKRJSH2CBrtK24sBOWiqBU8amjBprxfn7Qxct88Fg8gxwzeoqTZ5DX63WlQBHzpDSP\nRXVe8R5H+XXGmKNI1i/MhylDpt9ZPlPOBTtAeBQlP5JSo9IUXbV/4MsONke2eg/zVrfbDcfJxpYx\n9L6yLG04HAae4Os92cJnPEsZ2wQ92Y+NmWmi2xWbgOccA4dD2mkKz2qQIQC6lqYCZWYVBcCFJB6T\neUTgaE8nFxMD5cLrFyzorMSQJuEHaae82RR4RpkNIf8GgxTbvxpLz3N7oGWr9VC8ptumYo4Mj01P\nQ8P6NejC1da69uUJmEcvViaeMoITwNW6TRW7WfUsZTWGPHbFkZcmMPdeFOBlS7wouc6QerjzZ54j\nL0pnGuLlbUfR9r1+1SiiFoOXf9Tx8wwPDDfvn+WlGg8XdQoQoeNdU+DsQHEb+l0rz9WYeqD09GRN\neamJToDsLBaLCv3UmeOxYJlN145TEXIdPhjHp0+f7Pr6Ojyxjo2y0oLnU/dCNxk7b+dsatBwVgIe\nt2v2UP+jkMID/4EvNTrHNXVtcsBybDiqQV6v15Xv8ODYEMPLhldlZsFgIPpCCkVTpgyeUmWlpYoW\n+O33D1tyUO2H4+JY0NkgQ5Ez40GYtY868AyBKluk9EETfNftT55hBUBhgOmxRYcrhLlfM3vkISOa\nhDDM53O7urqqFJKxs5KaF4AXQYKe+J/b4a0vODaPlbFHX76f6QnF7vGIZwTZ+CLdxZXrnBrm8fF9\n7FjpY0jr+ITnUo1jjK683q8FSXX9MU0V76J4KOTTor+YMS6KLwfzlGUZtseABimngMeKh9Isl0uX\n5uwcqQEBQAHzi+tBUgZZswDKOzH5Uxz4O57Ly89QV8Ov956entp4PA5PieKDOFLGWNtSQ7/dbu1/\n/ud/7Pe//310PZTvx4NWer1eJRNWt5ZtZhW55fP7PVlgWkIHow5ou93a+fm5tVqtR/UuKWBjjGpv\nfgpezBgzIGvJh/kcE5714RKeIoFBUO+aFVWd16jKMxaBqoB4Xj+YEMwB3NTwARQnxU37i32ue3lp\n5Zjwe9+Z9ogImvSLeeNxsTHzInXtkyNCbs9Tovg/VieAtsweis10zlNKiXFRQ6jtpGiiSpOjY42Y\n2TAyHtpuXbV1k/nCS3mScUzJEI/P+48zDLHsDPcJwOe69LnXP49dq9S5uKtu/VSNsr7UOHkG1dNB\nTXglBtB1rNSVfkpHzjRoijjlGDEt1ThjOWC1WlUKaGMOAXCBY6qnenk0j42f58DjTa8dzqCyHord\nk8Kj3+/bxcWFLRaL4BQdAmpHjgnP+vhFQKvVCiniTqdju93u0RoUUpM48lInTcEzQvy7Z5AhyIh8\nzSyU0yNyBoNAEWgVttljo+yB5zwo7uqhqwPDW3ViaeqYE8KRJxyMoigeKVY21jw+0Kssy3BUKI6c\nZAXNKWBuC46ArkPzRn6z6vYr8IrOGeYIlZrgnZggsbGDMwHlg7V5dX40imC+ZNygHDkFyoVGZflw\nnCvTmyNkpGJZIcfGwThqhOylvkHbOsXJfMdj1v4gA5zdwtx68onPnJnB+ieq5tUZV2CaQR8sl8uK\nXuBjT3luFNgxYaPmzb0aBtCRf/ecTdyrMs9LQAx4rvt0OnUdPgZscxqPx3Z+fl7ZZlS3/qxzzTiu\n12v7wx/+EJahPH3p0bHf79vZ2ZkNBoNHVejav/edMxx8br9e7+n2zWZjd3d3VpZlSF0fUtyF9r//\n/nsbj8f24cMH+4//+I+QAaoDnlfgoFnhr4VnOxjErGpg+MURsio+ZnD1GlMKGO96jXrgKlQcAZg9\neN2xtToVXh6Hp+A8uijO/FuTV934OeKMRTQxo85tenMXw4mNA4QMDhpH6p7wsnLX/7wxMKQEyeM/\nr53UHOj/XpSMz+yY6G9qPNkhqxtHUz6I4RhzaPHeJPpLOYSpOdGoNIaLF8HHeJCzPuiD8YhFeeys\nqCHz6BmLkFO08pwNxQXBB1f5e7Qze1gq0RP4PP0YA8YL77vdzubzeagJUR736Mf4xKqqY5F1jKYp\n+isN4chytiQlB9oOru10OjYejytPlovh631Xw3xMeHaDDO8ahwugsEMLTuAR88EbnOoyqxpV9JcS\nkBSeGgFrX14ECIgZZaVDEzxUaXvRcMwYaVuqQBFRFUVRiW44VYprPaZDRKfHPnqRO+jASg+ZkKJ4\nWEvEdVyFzdG6t+apBWlow0t7gVbAFQdboDZB15CZpmwg8Rl4cX/s4YNX8T/6Vqfo0KKumEHU9HGM\nL0BjrwJWHQ3PKGu2ptV6KBBkGVXgfori4TnO3W43HAfLBtTDnWkGvl2v1xW9AMeHtymiT+CBcTFP\n9vv9yuMzodTVuHFUzWNiZwB6i/vl+5Wm+A8H/CDKw+/oh2nT7Xbt8vLSxuNxWLtNbXfy5FiNcVl+\nKWb98OGD3dzc2GKxeDQHXrtF8eUYzPF4HB7Z6BnlGPB1XLvTFLCroygKm0wmdn9/b+PxONTH1OGA\n/8C3yGzFnA/FGcAGuUlkfQgcfyMVgRoGpL2YMdhDgrLhyEOjDW5bP9d5WXy9ZwBZwNQQptqOKRVP\nIL3r+JqYY9HE0agbX12Eo31pVBJzFphm7GDhnU+2wr0aYULJqgB4zk2T6E8NilcToDyUcuq4P289\n0qx6xKimOmO0bgIp3tB2PKOibcX60P48/vF4yOsbwPOrh2xo/56cwnnXwxjgyJlZpdAuFpUCLz1U\ng42rXhszrOzExuQzpa9QrMkRXiwqxT58GGJ1sDyap4wy03U6nYbK6tj1Hj68jU37PMQoNzGejAsv\n9WB3jJdl8uaS6c+O3ddAU318CDy7QTZ7SNHAMwNxtWKWDaNGrNomPseMSR2xPMXGaz510UcdQyl+\nTa7znACvjZRSxQtjgELDe6p9jgohtHrko0ZqfCgIzwEiAV5L5IyDrgHq0Yg8Hs1ScNpRlbAKLrZK\neIepqAJVGppVj6/0jLEeJoOxlWV17zJHfFzhewhvsIworzCAN2MHs3hyg//5eFE+KY15yYvyVdHy\n97Isw1GLiJC9LIEqX+ZB7ILA7gsYV94+w4pX9QbmbjAY2Gg0CvUQ6At8z2Nhx4r5g/WUV2XL6XR2\njLSugQ/i4Hf+PBwO7d27d9bv9yvHDes9TXQR5hc7JmI8mGoTO1QYjyZRouKcWsKI4Y53PHioLMtG\naWvlU/TPhw5hbppGvIdcewg8q0E2e2BgMB8voGNQnCYuy4dDMnTCdGL09xQ0iahiEY2neLTdOhp4\n98a8a69/75q6Pr00Z6wvbhPM6Rlhr+KWDSZHzDDIbJyhSHmu2RtXBQje4SIuNoRexAVBheLjk4hS\nKWOPJnqgRCxKZt5R3JguwCvVv/dd6VuX9o4pPW1TQesq2JmIRcncZ8wgdzod6/f7tlqtkvLC7WmW\nA84MjDOUMYr92AHyxtdqfXnq22AwsOl0Gg4d8arddY51HtQwsyOPvpSfuKDPi5C5b0Cv17PLy8uw\n9zdWuNYUdrtdOBv6KVt2dDtdU2Osn1P6WCNaBtARZ5w/ZQyYGzgXrLNieCsOsQzC18JRDTIrJQYW\naihX9kJxjTInJqxOeer9TQy0B9x/LPLgz55x1vStwiFRtTeOOo/YU+IaWXntqyKMGfTUi+eZjSeW\nKjjNiOrRXq8XroGQ6OP2tJ5A13FZ4eGF04ewdszG2KO10jTGQ2p0oLjVIOvaY6rNFBzqqKXwjI27\nri/lh1SErP2jLexfRbW0/l+Hh2594u1PHOHGZBc44dGF3W437KXXdWTwmpdh4PEDP3bmWZ8xHfb7\nfTiD/vb29tEWPKUfnDo9leupOgXvs9nMfv/734eH5RwCTB/lqacYpkPv4XGAH1IyrH0pT4xGI/vV\nr35ls9nM/vCHP4SnAjbFJeU4PBWeJUJWREFAs8fnXbMnmUppNDHKsd88/OqUVKydmCH2JkedjFh0\nHlO4Hl5oy2vTc1JQhBIrKvLGzdGcriE3eYegoBiLIxp45tjyMBqNzMwq0TOv7yC1xOt+esiDOg94\nohgiAT7cJWbAMHZW6HV0V6MM4IhN5/kQAfYcKs8oppyHWPFPbOz8XR2tmEFWHvccgV6vZ2dnZ7Zc\nLiv7/+twYp5CpgXODgoF2TDrXDC0Wi3r9/u22305Kx1b4IALaAX+4zVbng/gZPawo8DTU8xP+/3e\n/u///s8+f/5sk8nk0bKF8ha2Z+GZw94jaA8B4HBzc2O//e1vQ5FcUwPEfK5bGZ8CqQi5DnhJ6pCl\nH+3/4uLC/vmf/9murq7s06dPBzsosaDra+CoBpkZlxlUlRwLNbxHz8h8bYSshp4/x4xj6jsDM9Qx\nvKRjeVoxejQxCF7UxUpfU5UpY4HfzR4yB9hT2ul0bD6fm9mXPZmIls0e7/1kOnMqWOsP0B8ElavC\n1XhpcRfGjrY0Vak8CVClwlFSKlX81Hn02vLmNYaXdy/fE+ur7uWB4sBHLjZ1EGI8xs4fF2U1cWSR\nveBtRLwGrcGAF82rPGiEDEeU6YqKfzwkxqMb99Xr9Ww0GoX9vpoCb2IIYo62ptoPgab3eEFL3TVN\nAfTU2pJDI/ZWqxV4oOm92tex9DbgqAYZXpMKBXuJ8Ci91A57XV8TUfI7g6fkPTxj92s7KUgJXBOo\nM55N7mWHx2Ng7x5PcGMFXRo565YorRvA8Xc4pGM8HofCisvLy6AcUVGqXjkOpYcy5SpZRMbz+TwU\nrfApRIw7Cgx57Jh7jlC8tDMD48eRGRwR3cLlGcDY/Ckv8ryocxTDTQ2Lh4f2WccPdVkGjcrxudfr\n2fn5uU2n00rKs44XORLF0gf4BNtdwGe4NlZbUBRftu3s93sbDodhLBx9s+PnHT3KMoW+teZF9Qtk\n4vb21m5ubirpduCFa9Hfmzdv7P379+FxhexwNNVTDHBW4Sw8NTrlOX3Kvfz5ayLk1WpVWf9/iq5E\nloXX5o8d8R4Kz7KGrILmKQM1pnUeVYrghzBnnffDjN/EKH/NBHrjPrbHVRcxeNfEHJ2mv2skjX6Q\nysb67unpqS2XSyvLh+p7xovx1AiZcYfx1/XF2Lq50oKNMeMQcwg9GnrOnmfgvHubQMxw6femctSE\nz5o4uyl68AsGzqsSTjkmjIfyleegeHgzgIcYH+/EKe8Vo43XH/MTZ21SJ//hMwwFTuVi58V7j9GN\naatr318DKUOams9jgc59ClhPxOxS3bJOrI3nGOezRMhmVmEEs2r62UtZ45pURFInBHzNoRBj8pjg\n4Du/PxU8hXfoOOocjVibmiXwFJ63Zhn734umGDeu4EakiocO8NNsWFiQYsS6GqII9LNarULBzHw+\nDweAeFuyYvSJzX3KoWEaqvFh2iJd7615xZQq/6/4xJYOYu1qNNrUGHt9egaQ+/DoURRFyITooRZ1\nuCivaXFXURSVE+FSShp4YIkEbWHtEOu0WqPAOgk6i3kbOGqUVZZfou/pdGqbzSY8qpSvUZrBOTg7\nO7O3b9+627o8B7IOkD2C4/tUnZVyUvia1HeGpxo11UN14OGAMfASVUyW9PNzOR3PuobMTGrme+tP\nMT4KTZQSQx0zNvW6mrRVB8eY4LooI6WgYtenPH/vt9S9mAcoSxbo+Xxu2+3WxuOx7ff7sKbDOHIh\nSexsYV43VkMcc3g8GnjzkRJQj57Amdv2opOmxrhuDLH7GCfvv0OcAe07dk1MNtjYeAq7ri/PCTxU\nf7AC1uiY8Yqlnhm3mAPLBhq8iUe+InOTSo8Cv9PTU+v3+wfpIuVpph1k5CnbhJ4LnqLzPKf50LZS\n2QX8X4fj1+r9GDybQcY7f25iCFWJe/9p2zFoQrSm0YKneI49KcdwTuqgzrtlXBinmBJMGWMdl9nD\noQmIbhA1fP78OTwSrd/vh2fFojIWW6Q6nU4w7tjPydubvIItMwsKqUmaK0aPmGGM0beOxofyT8wg\nNjWyMQfsULn0+q3rJ7aNyANkFNhQetkZPaikbm6Logj8A8cPmRfUN5hV9557e5D5M5wsdjQxBq1r\nQEYoRnN2PuEwcN2NGtpDgPHw7m/CBx48l2E6pL86evDYPGPMjtpT9cOx4OgGmQfrGVePqWLCHWOS\nFMGeYqSPMQFNlO9zGPGvgRgunpHV//T6psaClVhRFMGInpyc2Gq1slarFZ63bPZQeIEXTsEqy4fD\nP7yqau0bTsAx5rqJV/4czpq+e7RNpea+Fs8mDqPKOf8eKzJT0PVg7T9W+c/XxIDT0mz4ODXtVVnH\n6JDiffAnihi9gjilF++xZ2ekCaQMNrYcHrq151B4qmE/tP1jBy9NcT4kHf8UeJY1ZBWoWIrgGAR9\nLm/mLxGt/twh5Uh531mQzB7SuEXxsA6IB9KXZRkeyv7+/XvrdDo2GAwqRrwsS9cAHzJnz61AngOO\nyZNPHX9THI7lhDaJ0Js442wAvZf+1xQ33Ofhy7sRmmQWYk7N1wAchJhxP1Zfh7TzFN5ocn2d0Yx9\nBz5/MxEyvE8woFk1RfBcii8mnD83RftzgiZRs/cb+IEL+oqiCNWn2KeJAq/z83P74YcfwmESuoXL\nW1P8a0PdGtXXwFOcjufCoQ68tOBz4HLIvCNSZ6OrUXvTZQcvK6HOpm4P5OuUPtr3MYHPUef+/haA\n577JuDzZfCn0iJc0PwE8BvtrwV/b0zkUfk64Hhvq0o0vMd1fBz8nXH9u8Fyy8rVz9jVLaX9L8Nca\na1MH8Cm2wTPgzyHjRfn/E6dkyJAhQ4YMLxSOGiFnyJAhQ4YMGZ4G2SBnyJAhQ4YMLwCyQc6QIUOG\nDBleAGSDnCFDhgwZMrwAyAY5Q4YMGTJkeAGQDXKGDBkyZMjwAiAb5AwZMmTIkOEFQDbIGTJkyJAh\nwwuAbJAzZMiQIUOGFwDZIGfIkCFDhgwvALJBzpAhQ4YMGV4AZIOcIUOGDBkyvADIBjlDhgwZMmR4\nAZANcoYMGTJkyPACIBvkDBkyZMiQ4QVANsgZMmTIkCHDC4BskDNkyJAhQ4YXANkgZ8iQIUOGDC8A\n/h8uCVHw2RNj6QAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 4.0\n",
            "    J = 8.5404e-01\n",
            "    grad_norm = 4.8601e-02\n",
            "    penalty = 0.973\n",
            "    mode power = 13731.098\n",
            "    dip power = 14433.069\n",
            "    coupling efficiency = 0.951\n",
            "Iteration = (19 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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niZA5Oo5V6Gk7KmwxBcb9sVFmg8tGnxUelIwWQGGieJFHmQftKUYvqqlCO/5d\nP7PjYWYF58KL+qt441WjG8UTnm+z2QxKFpPYSw3rUY6KW0zY2RnL87wQIavzEZMblU2Wz5TzopOW\ncQQ+iIovLi6CAfz48aNLN6W91x9X9KZky/tPU7D8Ytn28Ik5fJwO9aIczzDFfmeHA68YKO0Vb/AQ\n8lW2RUhx450YSlvlRWr/sb7H5j3rpZicpZyumFFmGqmBiunOqgCcY7SsYtyhE6quIR8DVQ2y6paY\n86B4PYfx9eBZ1pBBGDXEbPC0GCcGShRPeXgKlwVI09NmnxnBEwNRnKYa1dM1KxaE8TXqGacmko6R\nlR7a5HHGvHr8phGyl7b7GihzNNgo4WlFWZaFFK6u6amzUAXU0HKki4MQlHd6f8wgq/OmbXjftX20\nMRqNzMxsMpkE51D7VoPi/Q4jsFqtbDabhWp05UFM9vhhJfrsXc1MeYqb8cPyBHZKYJ92mbHzcEXU\nfnNzY8vl0maz2RPexRxv0JL/A244cpX3xsb46eFn9tnR5XXsw+HzQTTr9doeHh5C0Z6ucXt4p+a+\n0k1T+PoEKWTMuG3PgQUNUw45z6MvMYQxJ9BzLriPPM9PrpcAVduKXaOOFmQKtUc/F5w8QmZPRdfn\nOJKBYY6lrL12PabHFB0bZE5D8oTmdWek4DzGgkFeAQ3wSilGvic2PrzDIGv7njHS+zxj/LVpoVjU\n440BQgzjfDgcCtuKODIuW9+LAd/DctRut22z2bgRso5dDbJmFGL9ppSg2aNDOhwOrd1u24cPHwq0\n94xuyrGEgl6v1zafzy3PP58uxDKn6VAvMuan/njbbzzaqrPAVbIxg+wpaQ8vHFjx8eNHm81mwSCr\nkvbkArLFSh38R6Got9WJgcfvPSlKn/gzn8/t4eHBFovFk/3SKUgZY8UN17ETxcsMuhUM93iOIus/\n0KjMAFY1zhqgMC2rGGXoqWPTy1Wgii6J4cjZKOh7BItw0H4OeNYImZWdt6aRIp5OdP3N8+j5PzXO\n+J37bjSKD7j2JgrjwBEyOwlVXmgj5il7+HptoG+tJGbn4hgvNOXFxyKcqopGU8Gex+71V9anRibg\nY2xN06NxylCrkuP/WRa9ScrKELUTUKhVcVHZZ2WhtFH6qZHmVKumWWM0Aug85u2KOGIUBjKGiypw\nVK8i6sf+bd49UYYX0w/HHqJi31ub9OSK2+E0Pu9cwPLLcrm0xWJReGKR8tvL9mjf0DE8N5VvvA2M\njTIiZM8Ye3Qpw0vlMNaegreMwvgobVO4Kk+qBC2x8Wo7qev13t1uZ5PJxGazWXj8JzuxVXE5BZzU\nIHPVr67NeZXVZsUJUoXoqQnK10LwWdgg1LwWVvacWUwURMi4H31xNJh6LxM2biumQNA348NOhneo\ngNLLmzg63tgrVmGK+5gmUOC8Nu8ZZe43xv8YPqyUe71eIUJOGczUiyNkdnyY3jF5xX+YB3gUHA5x\n4TGqvHoZA4wTaTNWDswTs6frn2yIvZS10lD7ZmOMecunmA0GgwKdvewRcMc7xoE09e3trU2nU5dn\n3nxmvODwDAYD+9WvflV4CpInJ14mgfFl2UW0jlQxngYEA8nLRxpw6GmADN5cAIC3OHp1vV4HvYnH\nPVbRJcCLcWKHWB35srYALFcctQMnz6jz9yp44zpvPM8Ju93OPn36FLIgkFM+6Oi5cQA8W4TMSje2\nluEpYW/gZUZE7/U8QBg7FdaqaV01Pmqk1fjGXrjfw1cVD1/HikX/8wydprS1LR5TarJ4uKfGFVPy\nOr6Y8+P1G8OTx6RbXrxI0POOvb6rOHt6j16fZVl4CAfWIL0o2WtfcdAIWaGMN1X47OGvKX04e1oo\n6bXpOXNQ4pvNJjgYvITE8sO44J1xwSEuWA7hDIk3J1O0UrqiKBGn/OGBA+rIABezz8YW4+EdEpBN\nXKP6hvGKrSPz0784UlZ+wjnFdbEqa34/FtQp99LW3L5npGPz2Puesg/MA9VrZcDt4LGq9/f3ISvC\njsbX0uwYOKlBxlYhjkC9KlgWRiZijPgcFUIIYkTSCZzneaEgIsuysCe2LH2ukxf3q7JiIeOIQAVW\n22ScvTS1d732Z2aBrkprTY0xnasoUXVAoHBS1aYM6iikIuQYzT3Frn02m58fQbfZbKzf71uWZU8M\nmMoFG1fP4IHO7MhxO1Xg9evX9o//+I92fX1t0+nU1ut1AR8PF8950af2qAFjOdO1Y16P1CiaQfHh\nQjc+1KfX6wUDyIWOZfxCRfVqtbLpdBrWYzlFrDLA/IIxAy7D4dAuLy+t1+vZmzdvCgaRZZMLtBhP\n3g6Jz/zONGU9hHnKc4uLgPAIP96uhhoWGA41IsAjz/NClgc44yQ8HAfMdRrqlOIBLXi4BBwV0E+z\nPFWB9RtXxmubZQFVKuVdBp5zhuUTLtZVpyDVjtnn7Xf/9V//ZZ8+fbLr6+vwiEizxwf8ePel+vhS\n+FnWkHWyA5hRnmHV/9Uoep6VTmZPqfKacSwy5j71c9nLi5TRJr8znt7nKsB09aJjD2JGL3ZtbAyx\n/1Jj8zzOGB9TDgJ/ZiXXarXCs6IVhxidlXeeTOjnmEPD13CFuccTLzLWvtAuH6HJfZXxRlPUVYD5\nFIuQdU554OGBdKA+FYuvVboofxEd44lOfJ6BzlPlFePDjiUMzeFwCO+gOTu4jI9Z8fx30AafvSgL\n9+hvTCMzC+vGSJ0i8vVOBmMdqSn0Y2t3yoAdPsaXx6E05+/ektexxhjvLJ/oW2XIawMAeq5WK5vP\n5zafz91MSExveW1+LZzUIMOT4DXN2KlcKYWuCtFTXEoobNrnR3rBa+R+zcz9DRBTtPp7LEJW77qK\nwLEH7vWZemeh1CMy2QjEjGaZY+G9ODKORcjMY1bqXhotho+mxTj7oP2iAhhVtojAYhOY6YIoabFY\n2MPDg3U6HRuNRuH62EQvUyqctWAjpkaHaaYK38yCEfMec+nRSiNkzwB6sqAGGBkuHLwyHo/DoS4a\n0XLWinFDxIkDY3BMJlKDHu1UpnkXxMXFhY3HY7u4uLB37949WW7SugrQmjNWTM/1eh22MmH9EAYZ\nwAcZgZc48hXRGa5B+5vNxh4eHmyz2dj9/X2oI+DImfnHld3Al+sGNpuNXVxc2OFwKJwmxw4B3pEx\nOhwen0iG4rQ8z0MUX9VBY55ibOv1OjzchrOXsQALY9Pq8VTWRoF1OugO+eA2vLnqOf8PDw/2448/\n2vX1tT08PNhyuSwcCqPXpwzzqeBZirrYU0ulKVMeTSzCSUU5sTQln5Oc8nhUoLgtZoxnbGNGJOWx\n6Xh5gul/ihu3qWvHVdLBKfCMM37X8WnaMjZOz6Ot0m/KUWDceKLyFpoULtwvjDKKaVRG9P4U7ZgW\n6oCkjHGsbXZGvGtUBvFZjbN3ndc/84oNM4wSUrDei3FiHHhdFGvIVRSwLn/hwSTY4mT2WAjFaUZ2\nBLkfNoDACelXKGQYZPAMji63j2ADjsL5+bkNBoPQz3q9tn6/b6vVyvI8D8bQzApLCJ4OYVxR7Y2z\n2zk1r0aQ+cfbAXkZK/Xsco/+ep0uhZRF7HyvyqTnyMfwYflkudSoPyXj3Eee57Zarezm5iY4TOwo\nxXB4bqP8LGvILBS69YUJp0o2ZpR5UvG13kRjweS0EhsB/k+VIhsX7k+NK3vh3P9utzOzp1WcqT5j\nilb/ixllXu+LpaZixlgFuIoRjDkdaAd0ZHp5EXIVPNiYeFEg7oPSxhqy7nFn5a5pLl5nRXqQ+cz3\neyk6xpXfcR+KkLCnWNvQia78Q2ThVVl7dNMMBgyhjon5o3hg3uJ40uFwaFdXV4WtRZiH+lKa8Prx\narUKUanSwaMJDAvWr9++fWvffPNN2HbF8gCeol01WviN10EXi0XYejWfz0Nkmud5kCHQD332+317\n9+5dOA4Y/GV8zD7vR4eDiEeE4phQ9IVrOTJjHccydXNzY6vVKjw33MzCXlnmaaPRCA/u2e/3oV5m\nv98XjimtCtBroMnZ2VnYG59l2ZOsJPBRXYPlAC2cKltSYVlAdka3ePL4UdQWg9lsZtPp1D58+GA/\n/fSTTafTwuNcY/3rkmDMYf8aOHmEzEjGKpnNioJn9tToqpJgDy3lkTNoG/zZI6Z6m9wuGK3tq3LT\ntT4PF37HZx6z/uaNSx0DzUJUoU8Mygxz7D++n/mpEVfKGKf657518mDC4pQwPf7UM3joS4ufdJ9p\njEcebT1eIaKCwY9BTE41wk3xS50WXiNl/FPKj50nnIKGZwx3u91wv2eMFS8vEi2LkJlPMMj9ft8G\ng4FdXl7amzdvQvscyYJvKOJEZTI7+xytwzgglbxarcJ/TCumHwqm1DlRRzHLsnBuMwwRTnw6HA6h\nwA904PtxjfL24eHBdrudXV1dFYpSPdkZDAZ2OBxChfZmswlOQCyqTIEWzCGjwFXdsfnB8oDlE3Ya\nq+KAecQ2RQ2yJxeKw2KxsJubG7u5uQlFXFWLHlnfntoYmz3z4xdjk1W9QAAGi/910NpWnueFSe6t\nSTEBY+2grZgRjBkjNcZ8DStA9u7QP7/HQPFhvNQo68uL3vE5Bnodf9YI2TPMulzAytBzGBgfffdS\nW7F0OdMERuT8/NyazWaICJQuoB87UvwQBnb8WGaUXvw5Rp9WqxUe7wY5Vf6pXGhfrOhTvFPDwAbI\n4z3zmeWHi7jwUBjeUsb4pvABDnBGEB0rPoobZAVVtDgdDHgo33EPvseWyThCXq/XIWqHgWa9pPLN\nx3NqBibmiOV5bu12OxhoGCVOYTN/1ekELs1mMzxadDabWbPZtMFgUIjaPOh2u2Es7Xbb7u/v7XA4\n2GKxsI8fP4Yq9yoGkfHEGDq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wMa/0YAali6ecFW+s++HJPl4qM2WUlI77/T5se4vxiHUA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\n3SuNAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 4.0\n",
            "    J = 8.4766e-01\n",
            "    grad_norm = 7.5401e-02\n",
            "    penalty = 0.967\n",
            "    mode power = 16405.052\n",
            "    dip power = 17371.467\n",
            "    coupling efficiency = 0.944\n",
            "Iteration = (20 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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r16kWINoqhLbVeeM5Bo1YblutVjq0BWc1a5W14s0GXPkXvOalfXPbwJS+TA/Q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\ndwpQg6RGOQJVcvoCMN6eMdb3nEfM+FX9F+EXGdu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PnHF+KkP8JTg+RV+PcVZyEXIdJec5\n54fgw9kLjkYVt6pIPuJtzgbxFqmq7Tnat/KO8syh841lgMdsE6oDL00n5sDjs0MN8nONNz677BHw\nj0xbPBV8qQPxfwle0hzl6F43qm/g/zbUnVeNUP9ReCg8Jnv3UuD/J5l6yU5wq3jpnNJAAw000EAD\n/x/Ak0bIDTTQQAMNNNDA46AxyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAqAxyA00\n0EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAqAx\nyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTw\nAqAxyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAqAxyA000EADDTTwAuD/AR+/HgZD\nj2n5AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 4.0\n",
            "    J = 8.5402e-01\n",
            "    grad_norm = 6.5638e-02\n",
            "    penalty = 0.961\n",
            "    mode power = 17898.337\n",
            "    dip power = 18838.477\n",
            "    coupling efficiency = 0.950\n",
            "Iteration = (21 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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E7WAnk4nNZrMwRvg8PV/7k53q09PTUAsAJ1DlzuNZI3voHEd6fDzm9LlPUvLn\n8c/HcHGrJz+1GV4UjnfPqdYgyMuIVBn7fDwHUB7P6vgxcQDV6/XCqpgUsMd+S/FYpotKMcBXOxdr\nz2vQqxd1sdH2ouNYegbX0Wg49psqIkdYMK5Ztktxmz1NWfOLASHlOaeiFu+8lPcf82Q9rzrP88Iy\nFo2IFYRTnnhsYCr4eLwijQznCilWDGLIllPDsSUcDEYeOKNP8Z31iTcqifHq8c5OXJXKYY9HHA8j\nc3p6Goz25eVltH+VL5UzR2Oe/qV0jA25bnjDmYcyHrgP1MnW7FZMt70xkue7Tf7xilHKwcJnTI1g\n2VpZ9o2B13tnGcFm8PrwKmn1WPSs6VWVoQfmKVl649cb+2U2IEWcFUlRWSQKB7hKhPwcgg4oHyl7\n7d03hjVqg/n4fdKrzSGrsYNR1upfL+ePa0HIMQBOvTilC0Xi+aEs25XwI4rj+WM1jAzmPAdmlo6Q\nYwZTDSLzjWO8d3VIIG8ou0bJqTkp5r/s9xgQaF+hyAm/8yYwvG2n5zCUkbZdMzC8Zj3VLg+Q+eU5\nB6oD3iDFtYbDoeV5bqPRqLBCIKWrntEEmM7ncxuNRmEjHe2DmP7p04Xw2dMHD+i8vsVKCX7ghUee\nrjN/y+XSrq+vbTabFZ5G5TkF/JtWaptZYQXHYDAIGS62AcxXnhd3ilMecQ7khQ1geJ47tYtaFUee\n28Dg6z1ghneiYz4951B1uwyYnwOIZTZN+4XBDP+VZexeAsxVHI4y0qp56DsyTL8V7R2Q2cB4c3Qa\nkXqArJ7Jc8GYFdJsB6heehtOAVLWmpKJgaySZxTLKjG5vWZPHwPogTJkwu1jgxmbR/OuWWUAeEDs\nEXjh7MJ2uy0sK9J9tJ8Dxiwrdqg4Al8ul+Ga6rR411DH0SsAQpvVsKhRYxkgZXp5eRmyNSld1Xbh\nOwPyeDy2PH9cxwleVC/NdksGPQOvc58qG8+o8ViG84MNfbBlK8uKZRbjCxurfP782cbjsY3H4ydb\nn7Jc8ZmBlHUHURfvfx6bQ2Z+six78qSoPN9lniAr7MmM/fN568wUeWMs1v84jh0oVJ7HshsKynwP\nzpLFwKoKECv/MVDW8cHH833K7NLX0EvBGHLXvSuwWue3pL0CMhcZxYydekaqSPgt1sExxfKOUQcB\n9+LUm4KE16ls/PBdI6UqEUsZoKG9qdSLDgLw4EV6VQEv5jDEDGysLSpzrfxWvfCiqyr35PviPtg1\nzOtDD/RioMhOjpkV+pn5ixGuwasLYFRTvOh/TJy6Vtmw3DxnkIE5lWb1eIg5Ppzt4Kkd7T/mi/nA\n83sBxgC4mPPEn/X74eGhHR0dhYcuaCqdx70HZJAvjkOWpdlshp3hZrNZYZ00T3upYxdzAMx2Dx9h\n/lg+CsY89w/HzgNB8MFOqBcha78+h1h23p7/yg/3nWfHvWs/lzzwL7ufp0/r9doeHh5sNBoVdnfk\nvn4p2D+XXhWQedmNRm9MKkBWLlayMmOKdzYkbFjxmQ1Mv98PRt0zyB6wekY79fIiGSak03VuD/dn\nOfELAw3y5kKpVBTqGVDtjxQwxopZwDfuzfvzKk9lxsvjR++H81FoxBFyzDiok+Y5CbGBzoabr8n3\nyPNdhIVlFIvFIjwdK6bDsUgG8uYNM9SQs4w8INYIWY26N55YPhi3KObCA+A9wx7TFQaa2Wxm4/HY\nbm5ubDQaBblz/8YARCP2fr9v33//fWFzGeUhy7In4w8OEt8P7UVaf7t9XKmBpwEhfclODTvCZVkf\ntoMalIAfPBhnsViE4/nRhVzsyXZT2+E552hTVfL6lndVi+kTH6921NOTl1DMeX3J9bChz/39vU2n\n06CnWPaUGvP7plepslbFjBnhVIfEwDh2LN5TBg/HwMjEBpF3HxgXTseql5sCLlyD39WDVMOjCu3d\nKwYqVVJCMdAt+997abteAjxl9+Tfue+97IAXCcacN08P1UH0fksN/izLwrNrEV0h+vJkxL/pvTRC\nVirTP6/SN0XeuNVpJs+pjvGmxWVYx4s2qV6rnFlv2NnDI/+4ap/HJ7+nZKURL4oSEZkiVa3RIORi\ntgNbgDgfA1KHNCUnjpK9QrIYoPH6Y+9+KTtahTTbkio6Yxuu8te2l1FsDHIwpTakKm02m/CYyPl8\nXnA0PHm9JijvFZCxJhUKoAVG3jZwnoEFsdecMvJ6ng5i3Ae/o+JXI+OYoDm65vlonMNKyk8h8lKN\nIK/NXqpav3vAxEYqtjwh5hTECtD0dy/yKkuDlk1dxBwfbp9mGTxD0Gg0wvpmzLHyXJDqhOeE6QCE\n7rFjpMaF+dT+zLLMzs/P7e/+7u/s6uoqpMNiToE6LSwfgBg2CMF9vQyMFx3DsHNU6DkgHvChzgLP\n6EWUjDXnHuixPHnb0+VyGYqj8DjLVJEZ8wPbgQ0/BoNBeOTgu3fvghPG2QQFD48vTk3qu/LDwMY6\nDD3D2MuyLDgdeb5bP88AySDCfPJ98B3THnj0KQcGLPdm8/E5xdjeEjtPcVT+0hQs7oWleGhfLGLH\nOQyUbDdSW47GyBszmELx5FGVptOp/du//ZtdXl7aly9fbDqdFpYHtlqtJ/dXnvZFr1rUxZ9jXiF3\nmBeBeNFUjDyjqEZVB4YH7nw9viYGCL+zIqReyp/XTs/gl5GCTCwC9drjgbvy6bXB+47PKW8y5kzF\n+PG+ey/2lA8PD0OE44Gf8sLXh+HWKQltC+usxz8IBW2oRo7xo7x6ckG6OiarmPyqGDpto+cc8OoI\njB+z4s5lnhPJstV10TGdU17YmUMBF1LnvCOXPtyDx7zypODARVTY+x7H8lQb82T2dEtXHINoWZ1C\nnKN84Th+iArahAeorNfrsANhzBH0skVfU0Sp5DnG+j/zE3PUynTTwwT+7jnXej0PONWebzaPTwWc\nTCY2mUzcTIjaq/8zgNxut82suC7Tq/r1QMxsJyw1iByxKOCD1ut14VGA6u2zUGPp6pRRAR+4Jzx7\neJ0cCfC7Rg/egOCBmgJv5gnv7GB4cgbxwIkZ7qpRsaasOAOgoMV9BmPhOWfeXCjzAFDyUmbo03a7\nbUdHR3Z4eBgiMJU78wCCQcYjFVGxy3oHXtS4q47w7/CuGcRUlzzwUx2HPnnLuqr0FcCmzHjqmAEI\nw6nAE7mwzne9Xhf6PQZ8iKrm87lNp1N7eHh4siWo8sOOQKPRCBuRnJ6e2tHRkZ2entqHDx8Kcm00\nGgUZeQ4+9AgZh8ViER4FiG1X9XGF2HiG+xJPz0JxG2cNYOTv7u5suVza7e2tLZdLm81mTzYV8fQf\nET5nNRaLhZ2cnNhms3myXJT1AX2HqLrf74e093Q6LbSrCqm+oS/xQBA4EZ6TqQ466wIv5dK+T9k+\ntA86yDVJOk5TWU8zs7u7O/v06ZNdXV3Z3d1dmD+O6STbaf6+T3qVoi71XlLzhmy0mbxohkFTr6fp\nYT6XF7R7AK3eT8xj4/t63j/eFUjUkCt5hiN2PP5jXtSQx7IR+jkG/jEP1gPtmPJq+zzeVNYpByE2\nf8bgh4EKZylmmD09hAFcLBZP9CPVXx7/3E+popqUDvL/7Ix45MnEA2m+ttdXXj8xMHN1tTrJKUDm\nVDIiPo2QPXmCJ0zHYKoJy5uOjo7MzArzq2b2ZNzF+IKzAoCZzWaFwi12CvAy2z3xCoVuh4eHdnx8\nHNaImz0CaK/XCw8ZmU6n4T/IgXVc9QffG42GzWYzOzg4CJEyO6KevGDzqj7EB+ex3fFsAt51rTSP\nS72WtkfT1Snw9doFfdApUL5Hqh18zGKxsOvra7u9vS1U0Jc5BN5Y3Re9yhwyK4WmTUCe8YiBMnvA\nMYVSA80ekoJA7IXrxK7NAx58aYQM71rnjsEHt0s/828pcGOF4/bFljulQENllzLu+tlLnYE3Vmw1\n7pwl8fpP7wMnR9/1HkgRZ9kufQjiyFjnsDmVCqPHQKN6wzyn5Mf9A0cB+qF9ysZGvXvP2Uz1FWcQ\n2HiqoWLjpS9OD6Oq+uLiIkSLOnfI45flohEyXiwHNcwsC2TZ8FjMb775xj58+BC2OeU2YP5W78/t\nhjwQGU+n07D0ChEywBKRKMsPOvbNN9+EugVeScCywFrt7XZr8/k8PK4Uy6gYmBSguNIbfXp1dWWz\n2cy63a5l2S4DyXYBbcWDe7BNZZZlT7Yp9WyL9znP89B+3HOxWNhoNLIs2z2wpAyckDnAlqne0imP\nH9ZJ3oUNL+53yIrPU8LDTH799Vf705/+FDZ8iYGxjs0yh/1raO8RMjOZWhOrIKcGWo2h542rMNgI\n4pp8Pn9OXUevGQNkL4JJpaq5nWWRVxVQxvW8Vywy8ADZ+78qKOs1cS12nNRp4H6N3cdLWXu/8T0Q\nsZgVNyjhvtIoHddjUMaA5j6J6UhMRnw+Vyjrrj8e4OuLnZDU/fm7Rqa8ZIqPU4KMMG6xCxqehgX5\noo8VjPX66uxgL+iyJ+lwJIQlTcPhMDw/Xfsuy3bzr2i3jgf8x9kQgCOWY0FebDM4vQpQOD8/D5vd\nsBzwjnPb7bbleR5S5OCbn+et/cVyZF2/u7uz9XptFxcX4b46zvDe6/VCgNBsNgtPQnvJXDIXrcKx\nnM1m4XkB7PjwOxP40d3OIBN+5zYxnvADabwCUc8eMeV5btPp1K6vr+3q6souLy9D/8cyUMwH25B9\ng7HZKz5cQoEPpJ68Z7hTnrsaKt4LF4OGzwdfHsDrb0xq5BQYmGcoKgMyvuMeMCwYEAxaHg8x0Fan\nw1MSbh+O96JZvaZGLDGATAE2eOLUFBt5L8XE9+T7aPpfAdkDZoDf8fGxNZvNEBEoGOsg5rlW7jsm\nb9DHHB1+HRwc2NnZmXU6nWCYPYOlferdM2VIPePOzobqDp/DPLATgTQxIkFUM0Pv+RzP0eIoHWAM\ng1wGyDDAqA1AxKnL2hBJYjxB1xh8QOAHETIidk4j83jgFzYhGQwGhegUcvT4N7Pw6Mter1eoV+Bz\nVJ+5H7MsCxupbLdbd0vWWOYQu6nl+WN0e3t7a5vNxqbTqX3+/LngfKaIQRZ2bjqdhqckeVNRKnfe\nZIVlXQbG/BwEjop19Q6ugTaxjMx2DzO5vb0N88acrYnZRhTY8XasrwXKrw7IngHGoIDA8LvnvbOy\neQYJhSIwpEoeH7H5RY94YGhREXj0lk5g3SnuDUOikT545Hf9zLyoIVcFiXmM7KzE2umBohp2fmcD\n4l0fQADjBKVWAC+7d1nKmg0z0lcXFxc2HA7tl19+sfl87mYRcG/0E0cT4Dtm6JRv5Z9f7Xbbvv32\n27AZxnw+d/sS/e45VTFAjt2fgdhLWccIfcV7hOMZ5gAhdrS8F/PGYDyfz202m4W1nrHxx/qCpWyn\np6d2dnYWNvLB9dXWmO0M8Xb7uCYY94JxxRPJJpOJTafTkD7GAy6QxVG9Pzw8tLOzs8J+2Sxz7UNc\nB9vyQr84Pc5y4vHEm2+Ad+jO7e1taDsXdOLezEev17Ner2fHx8f23Xff2dXVlZk9FjRh7jSlC0w8\nLuEgHB4ehh3ytIYIPOKc1Wpl4/HYRqNRAMEYEDIPmDrhIi5EypgjR99zxoSd6jzPbTwe22QyscvL\nS/vzn/8cNgJhQFYC33meBxvOwPymAVkbFEtrsqfFAxkKqikwHnj4rovmWXlxXsxYeN9jbdD2aMTB\nKbDN5nHfYQAzoiOeh2KvOsZLigelVBvRHo1W8ry4F7Ael3qVRcgMHFqRze1jR8zzSr0oOAY8qlsY\nxCx/b5qCecB9YLCn02l4UEaq9iH2u+cscDUo9CkF+CqTVP97x6ocY8fr9Zhf7F0NOXhOZMx59BwD\ndtw8x4KvyREyP/Ixxbs6M/zZrJiyRnFZqpiHbQ/4iUXGXhsYnAAsvHMdn+cBM2cYMBc/m82s3W4H\n/vmBODE7Aj5arZYdHx9bnufhISheQZNnG7VfeXtPzQCyvmFcrdfrQkYiBcbsbOh8Mb97aWvWeXbe\nMEUBp1CzqnxvbTP3qdbr7JP2CsiIUFk5dKmMgqqXbmJPF9fj6263jxu+IzqGQqG4AJ3DD4lXY+J5\n9PgvZmjRDkS/AGGeH0NKiJ+z3Gq1wsBmj84zHnxfJTa0IC8Nq/OjiAzg2W6322hBCA84Lzr2gNJL\njyIDYmbBcGCQqlxj9+TNVbgtHCkz2EAeZhZ2b0LxT+zxirg+69nDw4PleW7dbtc+fvwY+q+MZ48v\n9BXur44oojjVQdVPz9CngFWBEF6+l7FSg4SIC6nib7/9NsyB8/hNOb08ZnhTkFQ0wtRoPFYyDwYD\nOzo6svPzc7u4uIgab7yjf/M8D0aTHXVExyjmgnFm2bIM2cFDgRuWd3I7YnyhHc3m4xPlms2mTadT\n6/f7hegX/QWQwPlw8tfrdaiwvrm5seVyGaqnoec89nU6DNTv9+3HH3+00Whko9HI7u7u7MuXLzaZ\nTMLUXwyM0c7t9nEueDqdWrvdDql0ZAx0jKENk8nEbm9vQ6Qfkx/agagYTgw/uhHLzmBfubALOITx\nBox5eHiwq6sru76+DjwAN/jeHjgzEKe2gf5a2isgqxeuYKxGXDtcI2RPMJ53pgUCZsUiMfUcdeB5\nRs+L2tgI6xIOpD6w1g8KChDQNLfyUmZgYQA1svCuozwzoHpgwceyHGIglDqP+1aXNygfXiSZumcs\nOmdeIA+O8DCPVlVOiERgzGNtVp5j/Ht95R2bopgXn9Ib7/plx/L1AWi8A1WsLfo7rqmOGo/R1L3R\nh51Op/AkNnagYvdNOQpsk7QYKSUfs+KWwCn9i/EDR4fnQ3GOZoL4HixDtTv84Am+X0yfEBS0220b\nDAbhwQo8xRaTK7dT7SA/mUrP5aVl+rQsj08OLNiJxneOknXDFpYX2yJgBpxCrvIua6/Xjxwl75P2\nCsiz2czMiiknKE2v17M8z4M3qoKGAefo2Fuegnmo0Whks9mssLsKQBDKzo/PUlDW32LEAwMDAp16\nf39vo9HIxuOxffnyJShBo9GwwWAQnqcJTxgen6dsntLH3mPGS9OinCpCBSkUkNMtMXBSMPQiZQ+M\nAWKYW8L9eJ9YHghZVlyyAllzZSfzpMVeHuCgfR8+fLDj42MbjUZ2e3v7xKgqL/wbMgqcglO58PQF\nt83LKJhZWCqDAhOzXTRTBuaql2W1ENwfMJRefQEbL/zG83MwfJ4jwjro8YEIuWz9MV8P12y1WvbN\nN9/YycmJdTqdJzLiY/Ud/Yw5b5yLtCUKzBhAvACBwc1zDqvYD8gc8554fCXmbxEZe1t2Mi94+hQe\nxTmZTGwwGIT+4nlN8OY5Gln2OK/9ww8/2Lt370KEOJ1OQ/Cg/aSOJHjmYjMs8dJ9H2azmV1fX9v9\n/b09PDyEZWYxMIac4Ahi/TsKDLGaApEybD7uCXvLmZHNZhMiZH6udZmz6kXInJnQKcivpb1eTVN/\naCh29UEkywMELygCOtts5zVyxI2BzfupcsUeD4BYhFJGMePCRhjLJqbTaUj9mFlwBrD/qfekHe8+\n6plWiZr4GvpZgYXnbBiMYoaceYg5BTEnwQMCMytEm5xN0QIJdQK8zzHeWC5mViioSUXIMT3jOToz\nv1pdQVSzAswbO03etaqQ144yYI4ZHdYHj092irWPPZ68+7IulLWT/4fBRao3Bcb4zEAUi5B1PKYc\n85h+lbWDdZmdRDNz1y170ZqOBwAM181odpCduxRvjUbD+v1+kDGqpRkoU7rEfPPqBF0LnmVZWFKG\nQCa2mQjedW6YI2N+eiBHyTFHE5lSpNnhCHtZwli/qR4xP28akL01llAgPEAeGzeowNkoY16NlQ+V\niV++fLHFYmE3NzchBcFLKOBR8ZwdOgAC9AYqd0CskwBs0+k0zIdcX18XqmZBnrJyqkzTLx5A4Dop\no81Kgs9QNsgH3qyejwGEuUHc2wNYfXl8MEHuzWYzLDHhKnONrjB48BsMEEfI7KiV8YTrQr7woNnx\n8dJ8Gt3+z//8j7VarbDulKP02Ly6RskMRkihY5s+8Ikoh9NgHqCz48l9zw6F12/sACmxQwKdxZwn\nz5+n0oyeLqBfNU1c5tCgfeABldXecbF+5yiZjTUiZICDgjuDCWTGTgv3OetS1UjZbPdYzoeHh8L1\nVXaejcrzXaU4nEZkAfL8abGm8oC2IRI1Mzs/Pzczs8vLy8JTyVL9zGOFVycgsOL+Go/Hdnd3Fx6w\nksoEeKCHrFKn0wkRMSqeMaesTrM6gMhsTiaTgBmpgi6e8tQ+RHSM1z7pVSJks6eghnV3KEaAIHjQ\nsJJvNpvgQaIy7+Hhwa6vr8Mid0714J56DYC62dN1aUyqgF7EgYEIT2symdhoNHI9f88os6LwcoUY\nUKTATwHNi44RxTOo8TmQBaf2cX4KfGPkORW6xZ7nwXMhioJ2KjL2HAflhws71ItmeUP/+LowfDAA\n8IaZr7IoXj1xOEC4L3SCPfkqgOX1vRrj2DlMfA9uD4wdt1l5ismc3xXEyoy86gVSlZBX7L4xHlgm\n3KfQyVR07N3Hc0x0POp5+B96jtQr7zSmfKeiU9YbjpCZD+/+/J3H/WAwCCldtkUxuaid4eJBXl4H\nfvHwBqTcPSBU3hSUNU2MtLYWa5oVHwLEzhWvgedppBhx+5kvjtZTVf8voVcp6vIMCAMoImk1lDyX\njA49ODiwh4cHu7+/L8wZI/LD5Lx6tZvNJlQlwntSj1dJf1OgA8Dw2mfc1wNY9opZybgYgedMuA2c\nhlIjoINPBwhkjLQ+rod2a5tixloNfpWXOhcojIIXrYMG9wEo6s5HzHuVVLVHWfb4gICzs7Mnzgkb\nD7RBnbrNZmOTyaTQdx5fsciYgc5znNhxhLwgI4Aj6wjrLzsz+F1rEmL9y/8xL3wtyAD/s86UgTL+\nSzlRfAzzocae+8ZzVLw+95xVLirS42I8sZy5L/l3XKvMtkCHMJXi8cvHV3EW2CZwmta7v/6GLMR2\nuy3sleCBuHcdzwnnvgJQq/PK56rMPEDmqBSAjGjVc7bhCLIOe9OHVZxV5YvT1W86Zc2GBO8QhNku\nbcAFGmig2VMPEcuivnz5YpeXl6Fab7vdLd/Rij0YNHTedrsNned52CkF00EC7xqOAVJe8Da9qkAF\nKq0O5CIBNuqc1uHBpmDMhP9Q+MbFGVrUw4rK4KiyUP6fA8hoKzaG4GkElT8MCYwUOx8eIHuUMl4o\nApnP53Zzc/PEO44ZRMgMmZBer1dIXWuk7L0YmNlJY6MBRxROKGQCpxWArI5MTP5eTYInI3YC2Rlm\nPWOHV6O0VISM87nvUsQGkscBnAS+ngfqSqq3ZhZsiDqnCiwxQPKKEj0HyNMjXBN7S+OdedX7eeQ5\nddxfqmfcFu9+vV7PGo1GSAfrTnKxtujvDISNRqMwTafZo1h72MZwlT8qw+E0wKZ7m3Soo4t+51U5\nqkMxm6r9wYD8fy5C5qIejhw0VacE4aAyeDweFx7ZxZ2snc2DAaCNZS8Kmnw/j+Bp4lhdcqCDmo2h\ngrF3nC5wBy9cJahgycaCjSgPyvl8HtrOYMZKxSCP9duet6ft4vaofMAf/ke72Giwfmh/NxqN8Exb\nnWuMnc9t8gyotsOsuIOYXsMzPnmehzlw9ooVbPTlgTN4ZCOiRlUdMObHM7bcFzGQ4d88w8N6hbHL\nBoxBhw2qB5Ae6Ks9wO+x63BfIXMQm0f2yOt/lrXKxOtz7xjPMUy13eOLgYRtlsczf9a6mxjfzCva\nzL+pTGK1LN5ntWNc9+DJE8fx0rmYfsZkCB7ZbsYCH68P1RlI6Y13f+9/tov7pFfZGEQHNTqci5xw\nnOb+zXZe6O3tbSh+4U0ittvdU5W4Yg5RFgodsiwLXgwM/GazKSw/UuKBy1E3gA7b7SEFj/9YWVKK\nw94VFrVzERpHlDBeDNCsVPy/mYVz4JlCxtw25jfLsuBYaKUijmeeMa+PdrNB4muiXxm8uOjEM2Y8\noHieSZ0ur01mT1OHHuEYFHWwgWAevPN4qYY6JKxbCsQ6v4a2oP95LhOeO2TL6WMGKG4L84ExxGnH\nWPu8CBP8Qpcmk4kdHBzYfD4vGGy+V8y4sT6Y7bJjXh/x9fA72oAiLBTv6DkpcFbDqU5ODNRUJixv\ndf49xzJmV0Ds2OFa7GR58gSo4aU70OmY8sDY4wk20syeTLelImSMb959jG0LjtluH6cM+/1++Ix7\npJw51l1NWyNqZnumS2Q5CMFY8hxnTyaezNTJQRvedMpaIxj2+kFeFKH/MeiiGCwVcXjfzSykprDk\nhUFPB5qZb5DVqOicdSqNG7tuTCkUAKFoZjtQxvnsjMCQ81wNK5XnsXrRHRPzrJE/AAIOEBsC9HfM\ng4y1HZ951xxQLCLhwaPGg4/j75AXQFAjzZhhRpTIO8J5x8VeasghV+7T2Ev512hY+ff0kN/LogMA\nFxwI3YFP26uyjvER6yNtI19T0/2p/vV+U/mwfUiBsScX5k/7pwz8PNl4TlMVAFXHX9uv1/IAz+OH\n26fHxoDSW6LEx2oQwo6Ipq65DTH7mJJfbOyyLFQXVRYpR0b1NHbPr6FXnUPGfA0/MguDjL0oBQek\np0ejkd3f34cOZcOGQaqRM4TG6+Ly/HFjcI20Dg4OwvyJGmYQjsVTSsbjceDfSxNqRKxRJ6eIsZk9\np3NwDkf1+uxQzGOj0O3z589h8xX2oOHBKTiiD9BeVn71gkE4Ds/1RVtU7mYWHCB+MLreR71VyBl1\nA5gvYoOsPD5nQABYsJEBMiWaaos5U9iiVSs9IU9tC0+t6PwVy151I8t2mRDoGU/PABw5w8PGCRFy\nKrWpBok/Y35uu92G/bwnk0lhX2+N5DyjpxkhzxAqYEAH0FYsdUQfYc61ap978uFtRKtcB8dphMzR\nFx+n5yk/bCO4MMiLuvXakCfGBtvVMkclxheui0hPlySp7rB9Qj0FHkPJYx26CLkNh0NrNBp2cnJi\nzWYzbE/rOTawdyjwZAfKy0J6OqFyRHTe6XQKGVpup4Kx2hoe22rz9kWvHiGzEVWjzIaYj1cjZrYD\nbm8uIPYbeMKOOFCcZrMZQNHzCGOelkYL+h4z7OqBajpTo/6U98yy4V3LwBcvKUN0zcDK85PaftzD\nAyWNkNVT1X5mw6PG2IuIuA+zLCsYKc18xChllFTucNYgH6/PuO84C8GpZE9PVL81g6MyT53vXU8d\nKM9JSTkZKiO+BvcnOxRsGFk+sbZUuX8VuWmq/7lzdsqDN949magua3u9flQDn+JHHXa+vgcKOq40\nvey1Qx0g3N8DZQacmD3kd6841QtsGMCR3saKi5iM2EYxPyrfmI7F2o41zdPp1O2zmIy8vk9N13wN\nvcrGIOxJrNfrQmk6gCTPd9WG3Mj1eh0ez4W5Pm9AaKQM48GGmwuEEClvNpuwQw0GeLO526xcO3i1\nWtnDw0NhUTsUTDukzBjieLQJS7fMLFQh65IazJXj/uBlOp2GTeaxUTv2016tVmFemudceMCg/Wz4\nULjEDxHQwcpzN2ZPN+nIsqwQQWqxCA8WzwB7hX/q0XpGyDNiKnN43mjTYrEIbWHjoc4G3wvXybLd\nw0uYNxCPAbSBwSUF5uyU4R58HZafOhG6JCNl+Pi+3jjkRyaibkA319G2M2hAX3g9M98z1X60Fds5\nwlZoRJhywvA/xrjOM8bOw3ee4kK7PMfZk0HMWVKeIE9ep69OAb7jeDySEmNbQV37NUbKH+SNtumx\nzDcePNLv98MSLjgJ3Ea+fqPRsI8fP4YVKovFomCvtR9QE4ONXGLLxNS5iLX148eP1u/37aeffgqP\nsEzJRmWJjCbsJN73Sa+SsmYDq4YDAw1rhOF580DEzk66fg3kpTv5fhpR4T5QYgwAMwvpK6T6QDwA\nlR82OOpxe4rMpN6/mYW0JIzGdrsN8984HvvvTiYTe3h4CFt28mJ8fo4v7sVzvvjNA0P0jZm5gGxm\nBf5SBkDnlvRYzwAycPKUgHrJZV6/GjHVDzY2kD/0gwHZmwtTpyE2oPneMWcjFU3xmPFSpR6gK6+x\nKZMYqfHm6BRTEOzMePOXahgZdFJ8xJy0zWYT1tJDL2KGWGUfk4mni55OmRU3qsE5XqaDz4+BMfPk\nvbxslV4X/Oi0VKp/Y6DstXe73RZ2W/TOAx+INtnp1giZ2wMwPTo6KqwjZidE+wH2lh9eEXO6yhyS\nLMtsOBxaq9Wy//3f/31it2Pt5WtxcSa/9kl7BWR4EOr1qHHEQGOgRoNXq5Xd398HEGTF5+vFXjxg\nuAq50XislIXQ+TGIUGzevALXwkPlJ5OJme1ACfyUpVGZNALgDSq4yAhygDJuNhsbj8cBkPlZnjDy\nuIamogGQGCgwaswLy83Mwj0xJ2RmBeeEtyyFo6IeNBsLz4uNGVb0Gx4GgbnLGEh6ho8HLYMYDDuD\nP9quxlejMM+hAfF/3B7ta16XqcbA452vwQAJHWGZMy8cEXrLUbz7Mc9sfLDbG/RCZe2BG/PAj8D0\ngM9zpFhms9msEI0oQMUAVtumm/EwH54TF9NRdew8YI7x45E6gbgH84/jeAtJfgJWKupPgRS+Y5kk\nsi8eQQYY23gUJXaw84rMVB6NxuNDd3A+dLMs/YudGbH9spmFR2BWcTZxHLKkrEdVz+W+Bk7gYUr7\npFdJWUPA2hA2LrxbDjwlRMd4kpNGSSD1UGOgrClsgGqj8bgIHqlspNPYiCHFOBqN7ObmJjgHHCWq\nk1CFYOyyLCuAAxsJADLSNZvNJqR59Ek1qsxsKNBWb7tGPo/PgeHH4NOlJvxsW6S4MB8LzxeDLWYs\nUoAM3lDQ1+/37eLi4knqUJ2OmKwZfHVTAHZoeApDswrQQfX6uT3cLr4/gykvSdNICMd7kSJ4xXV4\nTGhKmh0LXRpThVgneN19lmVhfPM9Y1Ey9IaL4NgeaHv1d4zf+XxuzWYzLL3yHLMUKOMYBQ3We5zj\nkV6f+xRgoo6G17d8LT5G9TnmOMUAWaPSGPH9VD54SA5Ph6gMQAzIvV6vMNa99C3ryXa7DVEqCrZA\nscAmz/PAX7fbDbrI4zAmMyXWn5jDEuOf+UTh6b6XPJm94hwyDBrPVcIgoeOgGAAHRAAwnN4uKAqC\n3nfvZbar+sbcWJ4/zmMDIDmiYGPEhj8GJFXIcxzY8+bfAcg896g738Suh/Y0Go0ArvhN76NODI7F\nfD/33WQyCetxMf/NvGhqmD19lZcX2XngClngPy+1F5M1zufiJHbSNIXtGVIGZ52v42iQz/cMuBbw\nVXHgtJ+8vmfy+EpVocZkpo4Axix0CdNNbLw94IHRQrU9Vg7oQ2hUdiwz3ogHkYn2Q0x3mB/uP06V\npjJcLDfmKxUIxLI2TIhGp9Np4Th95/+azWZ4uAIcnFga3pOt5/RhrH/58iU8lpDv78kCWQ/0qabN\nU3xgnOhmSKxLnkOANexY6QK91ExHmV1mPdDKdtVfr+0g6G9sL4uvob0CMi/8z/M8zHdgYDWbzZBy\nYO8eAwPpMbwgPFyPr50aFAwQeDfbrUs+ODgIhWPoHN4NCNEAb9ChgMxedorYyOGdDTRfV9OriBDA\nB8+leBE684LrIj2DJTpQZC9VzfPP4AP9ik1Rbm9vCyl1Bj5cF/MqkCl7kixDbjsbRwYbyIDXZfMy\nKj1edURTr5xZ4D7wImP+DEPEAMegx+1rNnf7UevSJ01Zx4BRdZqvw8ZE5Yo2YOzp1IGnk6wvLDfc\nD1EJL9PzHFONpLLs8RngeZ5bt9sNS054msVrOzvv8/ncsiwLxV0MDGZFRy5mjLMse7IOlqd3vBQx\nztPsAjtyGmmrkx1zujANxoVF3jjg+x4eHtrR0ZENBoPCMqMyUFYA1t9Wq5X9x3/8h/30009P6k9Y\nDqBWq2W9Xi9E6VWzMKov6AvmiwGW749pMSxTXa/XdnJyYo3GbqvdKsAIHuEk8iZVKb6ZttvHeh6M\nBYzzfdGrLXsy2807aoQCUMAxanRAMQXjd3xmoxyLoHSwc3EXgAudptEI8+QZoVTE44GF8hmLMPXl\ntVWvxek0BeCyF5+P6+oaWi/S43thYKMvcT1Pburk8H+4P0f3DBpMXgSoesVg+JyX8slgHJvX5t/Z\nOVR5pfSG26EArb/FnJyYsVb9Ybkyjxrde/KL9avOZSPK9vjw2s1jVR0a6IPX9wpA3B+atvbO5+uo\nA1n20nujLcwLHA2AgTc21MnQIirN1MQAme/PfMDRRQUzZ6GUf5aHOnoKxGXAmNLNmBMAXUBggqxm\nbOrH44P7sNfr2dnZmU2nU7u7uyvVAyXmpwzQn0t73zqTBzpHH0gRt9vtgvFGp2gDeeBo5ygIsaHy\njBWI02AoVMGSjDzPC54eGwO9TmwAxIyeRywf5o/lwEZIC4JScsBvbIiQblRw1wiZ24H/ZrNZmLvm\nuUycj/sBjDE3b7bbjk+X4XAUiusoKINf3BdLzRAZxAYSgxb6GlE+R8iaVlfZoU3swfPcrKbewBNX\n47MeMaCgfz290D71nAovZQceYDghc28MqX6qEVa+MYVhVixA9FYmmO0c3Ha7bVmWhTnPKhEFjwPY\nDawdRVsQGXFWQ50hBjXeehEFQbhXTI/Y6QKpc8JFj+w0puQ7n8/t+vraRqPRE+BlXdtud8vGhsOh\nnZycFJYZeVMoKWBmnubzuf33f/93WEZZRrhut9u14+Nj6/f7hejYk58CJF7QTZ3C8HQUn2EH7u/v\nzcxC6hoPKqpC0I3vv//e+v2+/elPf7I//vGPyWI2j6AzsCf7pFfdGIQBIGZM2PhxKstTMDVW/NkD\npBSf3gvEfHtgrO+eR1kl8tHjGEj43spHKqqo4qR4POh/ZlYwPDpXnHICIAveTCPmFTPwedFcqg1e\nZMa8eNFdLFMQk6HK2/Pw1bnQ6Jhlpvfh63r9qcd7OqmUMs7aJtZdTy6eHqWcXg/U2Ln2UptsA7z2\nqkMKIGR74wGhBwhesaHeW/nnY6rov15L7QOmpDyHjNsA3eJHD6aAOEZe2zabx5Ubo9Go8BhZlZsS\nR8je+IuBMr/zGIpFyF4bttvdEigsnfXO8SJlPg5rqLvdrnuvskCL+Smz88+lvQKyDnaO9lAtjG35\nkDJGx8BwY24mNjehBjdmPFJGC+DP6S/23BHpaQQVU76YMYkZ9dhvXhTkgQjIM2zcflZ6roBnReJz\ntC2xwjKOkMEfDzKuVEekjIey53leSHnBsKIfvCKkmHMEfvHiNkF2eDgBUnO861MMVHBPvPNcMUf6\n3vakrMeIEpmfKoPYA0J1asscRo2QOcqrAsp8T1R2c4Gg3jsGDshmoCAJ8lSd0/bj/oheMJcM2cPx\n0YwLvysIYA5yMBhE+5x/Y/AGwRngGgF+535Q3cS1sZIEm3Aw39ovnU7Hzs/PwyYc3W7XfQZwDBBj\nzs58PrdPnz7Zzc1NpeU7aEen0wlg5jk2eo6+e45RVcJWqo1Gw+7u7my1WtnR0VGoj/F4QHv5P2z7\nyVvfxs73HH7Ofj0nsq5C+6/bJmIPFwMLhT5oiFdgpF4UrhUDsphRxf+xTlLPv8wDNovPV3n3K+Mr\n1o6Yo5FyMvg6LHsvRR1zFvQ3zzHQazEgQx5cI4BowMyCd6/LlzBAvb7y2q7GTh0j5o3nIFMpf5aZ\nGlDua46OvaIuAA7reEzPqlKZTsQoNuUTu4fKXHUGYJQaGwrIkAPvHhaL2lnusT7EiyNknTLgl4IB\nPzEI8tHsmLbFG8+qJ/obt0vlBEeRp8M8XTZ7nPJBQZw3d+uBYQwkwAMc6vF4nKys9nQFc9najzFQ\nVvLGrtrQGMFBw7JLfkiQ3ls/q6OFtnj8puSnY+k547gK7RWQYwMfgjSzwnZp6r2jgd5cEF/3OS/l\nL/bia+NzLJph3mIyqALEMUB4juH1BgIPPPboAUYaIXvneYCMyI8/413blmVZYTMHFGL0ej3L87yw\nBad+Z9lyNI5re3PSCsZYKoPCFa6w1vS7N5/NmRreNJ9BGLzqBgfgV8EL44CnZlLkAWMsQlZgVB5j\nIKhgiOp5pCY5UlYHrwqQgZdOp2ODwSBkQjxDDIOngIxK70ajER7wAXDViJnbouOk2Wxav98PG2Fw\n0SHfm4MFlR/zBeeT28/34/bzWMHSSziqLDs4FeBlMBjYt99+Gyqbvar52P21r81222PiASvPJQVk\n5SNGepw6rVUI7YAzgc+q+7H7s+ODsY29/6uMR4+XfdOrRcjqKWK+BEso8LsXTaQinzLwfQ4YM6XO\nT3mxZQpZFZjV8HoGNwXKMb49Y6rX0e9eBKyGWd+Vd7OiQWNQOzjYPVMZRpQ3Z1EnCSlTBuRY0R+f\nw8voMGfnyUGBgOXIy6zUyDLocT+gfQz0LL9YZabXL+okeFmPmF54kZTnELIM4LTFMiIx3UT7WT6Q\nHxyyXq8XUs8x0jEB4EN/8npk2BToTixCZXnwPtDcT5o+Z6eG+fX6AM4Y7g1njv/jaTC0gcEkBqi9\nXs8uLi5ChXWsgMo716P1em3T6dRms1llEGKZxOaQq/JSZofLCDqBjaPYqajCCzCH28LFu1Xa4Dlv\n+6JXjZA9ReY5KQhFo7yyyLUMiFPeixqNFECnPC+vI2KDq+w8754xo1KFPJl4IJTiIeUgeEaJDTgX\nq0DG8OzxH2oJOp1OAA6uWuYohX/nF6JktIWdBKS1sBcy74Ub05WYk6ZOGGdwGPRwPQx0nR8r003v\nOM8xTLWB+a3qgOKc1D09MNZ7evcGAZB5PXFZ+9WR4ZQ1V6nDKHMWw5Nzlj2ui0YKeLFYFDIw4Bl9\n5zl9nizgyMTkCr0cjUY2n8/t9va2kFli+eEzdLzdbhfA+CUgxjIdj8f2n//5n+FhNSnyInAva6DH\net+9a6fmj1neSugzHs9lfHt6PhwO7W//9m9tNBrZp0+fwsNmntOOl9jnFL1KhOw1QqMDT1Bq6JRi\nxsjz1tXQetf3DIc6EjxQ+RqxdiqfZXJJGdky8CwzapA5e+cpUPAMYQx8cT1NXaOPcQ2z3dNRsDfx\ndrsN0Qn2tsUg91LRADgFYgZkNdzz+TxEAlzMlXLaypw6L0L2MjxYksNzy1XBWPnhvvScoxQwehGy\nXpd/Y69f7xkrKIvJRyPlbrdrJycnYStM/J/qB80qZNnj5iQATGz0g2pbRG2ISNUGNJtN6/V6YeoE\nT1KDvnJU722sYvb0IR+a9lXDz+f9+c9/ti9fvoSCpFTKHyDc6/Ws1+tFt2msqlOQ5+3trf3Lv/xL\noR+qEvoztdQpdp7320udC/SZyjBGsTFyfn5uf/jDH+zq6squrq72voTpJbRXQC6r5PQMPg8g0HOA\nS4/Rd8/jiXnxbIxiBpmvoZ9j94yRd78qQBwj5UOvGVNezUSknB0vjR5LcbOx2mw2IV3ZbrfDgz7w\nWDWsJ/TShAqCPDfK6cY8zwupTa4K93gE/2o8Fcw8ecX0CIYfOv0Sg8Pk9WPZWCjTce+9THdS9y+T\nj9lu7pF3+cKx6hjouzoinAnxUsN8vhJqAlDchcee8rma+WB+mR/c05Oz59xg60fejjcmN8y593q9\noOuevasSweGlTtVL9dNrq7a76nVeSpxmVt33eGKC3DCVxo9RjfH1teO4Ku0VkLmMXBUXv/PyFh4A\nZsU0hjcIYpGCGlwd4OiAWKSL49Qwe5RSROW1LILA8cyDfo4ptzoEMaMbm/dLeaixiNibT/aqYOG5\naipwtVrZeDwOhun4+DhUkZ6dnYWIBEs70D6AMK/F5IgZ7cSyCGzzycVczDMKC72+x2eeJ4vJXSNk\n7tMsyyrPsymlQDfWn55+aKZJ9TJlOMvuyePMcwC0MBMR8sPDQyHq9MYI88DLilDchQwKb1RiVixi\n5OwEqNF4fEADMjNoDxecmhWfg8zP+GW5MF8sJwVy/L5er+329taurq7COOE2o92wi+/fv7ePHz/a\n8fFxeBY0y5x1VvvNI2QZ4MS8FIw1Zf1SoPKAsyrBuUfWLTYGUvfO8zxMCVSdm/8t6NXmkNVj9TrP\n88JjVNVr12uXeXNeB1QxWM9RqCqK+xxZPEdpvLYo7zywPWemSpQUM+Ds4HBh33w+t1arFXbcGQwG\n4foeCHpVwwyAOs8YW8Pt6YpGM/jtOX2rYOTNPfK1VdZl5OnFc87Xc2LnsvzLxpZHnqMImfCyJy+q\n0r5POZZVHXElrlfgFxcOen2qfKV0n+WQ58Wsje4Bz7Ji/lqtlvX7/bDTmY5VL3iIyc9sN+9aJcVb\nRrEIUvX7NSk2ZZIij0dvWucvCcp7BWRENWi0Cs0zUJ7BBLHiecdXMbYgFXhVgPTIA7TnkBqfmJEs\nM56x+3qDla+joBHjLwayZfPK/Jvyzrt3YVtEPFYNxTYcmXJaCQUunMJDARciY0TF+hAOz6HQiPa5\n5IGw2W59IyLnPN/tB/4SEK76SvGn143dLyYH1gEFQHViNNWLbEGn00kWJ3mgBwDRGgGAXJZlheKu\nWEEXro+lLp1OJ0SNiIzhHHIRIesi+EGwgXuCV42MoZ8ooBqPx+5SJ5Yd7nl8fGwfPnwoZIE8MPYc\nS484e6SyLuv7WB895z8lHY8vIdWRFMWcCK0reikv+6JXmUPmAeoVLuCYKp3i/Z7yhMsEmlKal3RG\nVSWMGUfv3iqbl1AKrJkf/j0maw/MYr+lgALGC4Y0y7KwHnIymdh2u32SbtTomCNkgAIMKz8AQ501\nT5ZlEUZV0r7lgQ7yPPqqFJM3vvNxKR5Tx8QcuCrjr+ye3IdVUp1e+zznkB2DKg6KWTxCZicvNYes\nPHJEzNNzZruoFPuoc8qY5YPPDAwo6CqzA57+enrOKeuy65RRlYCmCqX0qGwsVrWPZU6fZwdjPHnX\n2zftFZC5ElAVlkGayQMifmmEHBt4zzF2ZeCYOo/P/1qKGcGX8MTfy4wkG5vYXF4VI+f9nuofGC2u\nmkXUgAgYkTKilWazGSJnPHYOUQvPK/LSJg/8EElXAcYUaKUMI0dHZlYJfJ5DKdmmxsFL7l/Wp1UN\nIWc6dE03/tdrYV53u92GKnq2J3jnTW8ApmVgjBRwq9UKetdqtcLjYaFzXDTIAKoy0IAD7WI9H4/H\nYQke2zU9hx0XFJ8B1Pm4KrJXcF4ul6F+46WOYRm91KH9mvtV1UePtA+4QBS/v5asYrR3QOYGwGMs\nE1jq/yrGsarQyiLUr03ZvIT20eFVHQw+DgqY4qkMcMu+67moKeDU43w+t81mYw8PD2FLQzxmDTzj\nCT0o6mKjx8VkvBMZt4OPrQrGz9FJb2Dz7/ugmEy9zx7vHi9lOh/re+/eHmnkoRFyaiwiDe3pVdm0\nVYy/LMsKTyHTvckZkFNTOsoP+NDoijenmc1mhQIklb2CMoAZv6X6E/8xYOs5WHIIp+C5VMXG/CVs\n40vBmEnbpQ7Tb+lovEqEjJRSldRUFdr3cV97zv918lJlZeTJSX8rAzCNMHheEBEzNrpHkU2/37eP\nHz+GR9A1Go1CcYrOZT7XSePjXmPQveZA3ochqnLdr7mPOoFfQzHn4DlGWZ0nzRgp33xOig89Rmsp\nUhXxes99yUv5gdNaRr8VAL3WPcqu67UvJfOXOLMvpVdZ9sRl/THProrh/K3A8jXusw/Pbd+UMjJV\n6GtTROy5MyjzhjHT6TQ8PKDRaNhwOLS//uu/LhQMTiaTAOAM7F/DG/P3HKoykF9j4P7WurWvKGSf\noLwPXjgSRvaGwTnltCgwc1SqDifvX+61wXMUYvd/SSoV0wCxvbc9Xp5Lzxk/v2Vqu+zeKvMq7Xgt\n/qs/+6oCeSmYmt4uvbU+iqUbqxipmv7foeekzX9L+v9rcFGV3tK49Jy/52ZR/hKU5W9Jo2uqqaaa\naqrp/1Haa4RcU0011VRTTTW9jGpArqmmmmqqqaY3QDUg11RTTTXVVNMboBqQa6qppppqqukNUA3I\nNdVUU0011fQGqAbkmmqqqaaaanoDVANyTTXVVFNNNb0BqgG5pppqqqmmmt4A1YBcU0011VRTTW+A\nakCuqaaaaqqppjdANSDXVFNNNdVU0xugGpBrqqmmmmqq6Q1QDcg11VRTTTXV9AaoBuSaaqqppppq\negNUA3JNNdVUU001vQGqAbmmmmqqqaaa3gDVgFxTTTXVVFNNb4BqQK6ppppqqqmmN0D/Hzm2iRyo\n8GWPAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 5.0\n",
            "    J = 8.6521e-01\n",
            "    grad_norm = 7.8295e-02\n",
            "    penalty = 0.886\n",
            "    mode power = 18974.513\n",
            "    dip power = 19892.689\n",
            "    coupling efficiency = 0.954\n",
            "Iteration = (22 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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eTvF7ihaLReH5wN780PuwvrIONptNe/PmTagF4GUH5Y9tCuscO1vsFEL2OLQF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\nVFNNNdX0CqgG5Jpqqqmmmmp6BfT/AFcE/Qn76MwEAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 5.0\n",
            "    J = 8.7045e-01\n",
            "    grad_norm = 6.6717e-02\n",
            "    penalty = 0.876\n",
            "    mode power = 18614.565\n",
            "    dip power = 19429.129\n",
            "    coupling efficiency = 0.958\n",
            "Iteration = (23 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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NyQ0OEubVf/e731mz+WULwU+fPoU+SjmUalCKogheOiIxNlwecOiL91kG4G23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\nolHEnO4AAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 5.0\n",
            "    J = 8.7768e-01\n",
            "    grad_norm = 3.4743e-02\n",
            "    penalty = 0.866\n",
            "    mode power = 14847.319\n",
            "    dip power = 15397.035\n",
            "    coupling efficiency = 0.964\n",
            "Iteration = (24 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LeSqyN2X4e4rdVv3W7XFPlc+h6KCArOtjnKZGxSAeZcaVgykDykoA4NV7ccTC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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 5.0\n",
            "    J = 8.7735e-01\n",
            "    grad_norm = 4.5013e-02\n",
            "    penalty = 0.856\n",
            "    mode power = 10924.360\n",
            "    dip power = 11344.803\n",
            "    coupling efficiency = 0.963\n",
            "Iteration = (25 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ySd3Xm/uqhzy+nj3C5zGHyuPHsyd4h7OkY3PsmCuPPFfLgKbqN9eLsKPhtaX2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\nuxATsCFcAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 5.0\n",
            "    J = 8.7782e-01\n",
            "    grad_norm = 6.2367e-02\n",
            "    penalty = 0.845\n",
            "    mode power = 10057.548\n",
            "    dip power = 10450.800\n",
            "    coupling efficiency = 0.962\n",
            "Iteration = (26 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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8H/l75Xrgpw5gTM9i4z5GMYcqxaf3LJwlZGw8Pp5K6tjuK0+2gR4m7UOHBuxn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\n+aQAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 6.0\n",
            "    J = 8.8279e-01\n",
            "    grad_norm = 7.3759e-02\n",
            "    penalty = 0.748\n",
            "    mode power = 9926.287\n",
            "    dip power = 10366.473\n",
            "    coupling efficiency = 0.958\n",
            "Iteration = (27 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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DliNnb9jhyBrg0F1Mk4xGo5AC57lw7d/YS4kj5KyojeUVAwEFI5VPEWK5cREP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\npJKeAf0vPAqB7m4T76oAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 6.0\n",
            "    J = 8.9116e-01\n",
            "    grad_norm = 5.2254e-02\n",
            "    penalty = 0.737\n",
            "    mode power = 15331.134\n",
            "    dip power = 15889.521\n",
            "    coupling efficiency = 0.965\n",
            "Iteration = (28 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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P/zh1i3lydsYpg+zJCt/ZzsTmTpkXz2HuA669PkmB7Zj9iLWHzy8jD7Cro/ey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\nqugZ0P8DSSQQnF236UEAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 6.0\n",
            "    J = 8.9903e-01\n",
            "    grad_norm = 5.1621e-02\n",
            "    penalty = 0.726\n",
            "    mode power = 22832.098\n",
            "    dip power = 23497.572\n",
            "    coupling efficiency = 0.972\n",
            "Iteration = (29 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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eYZBpQR8iTxQZITXnRfFsxNCf0BXcUw0P+pzblce7FyHrTlOx/uV37H2OAjC0\njaPrPF5i9+EIOS869qIvfvH1uXjGAzdP9/g7OzSxCClmoHn+GI4U0vsKxnkU409tQF5WyANLlk0e\nqHpbQcai49hxCojeuXnEdtK7blEGUEErDxD1nLxINI/YmePpjiIwLgvWnj4qeXJLkiSzNNQLXGI2\nuQxvz6EXm0MGCCOliWparC+FcdaUICimWHwPBWQekGYWjL2ZZYwaHwflwGPVeLmEmQ+uecZUjSOn\n5jzPXyMIVoSyx0GBvM0OYoaT5czv3u/egMT8PmSNTfsR1cFrrdfrAaCOj4/DRg2QNyJMnatVMOEK\nc5yDxxnOZjPrdDqWJEl4dBvkpcaIdQVgjj4HX+CH5YDrcXSF68FBwo5Ff/u3f2uNRsNGo5FdX19n\nZMqGIy9aNrPMY/2Qrue0r8oKnznyw7aOeGE3Im1fzNiowcaYQQFeLKtRBOyI4DHPiX0EVM6eU8Gy\n5D7FEkjUN+iWspAN9EjHKtqrVclw6Ferlc3n87D6Q4vQVAaxcY86CrZPIAC+VtpzkKFy8aJuTtsr\ngEKPnkOxugENVvIAqlarhe0reXlSERWBIZx/8Oadr++eIxHTs7wAqYwj8hx6sQhZgZJ35uKlCHkd\nUhRVeIqGzkFEZZZNkZllAZnTurz8QBXfi5KZN6ZYxOIdo9coAnqWC4yqRi0a7XvX0zbE2hb7rM4S\nzwHzdAIDHy8zYOcBfabyUZ6gK3AGtAhGd/7Jk68XIfN0haY5YxEp+iFJkrD/+Zs3b8JaxpubG5cX\nr5+1j7ggMebIMX+xqE83vuGqcc8AKUHu6Cee88f5DA54jxkr/IeiNaSBy0Q4sbGCgiasYY8VnPH9\n2bmB0+dtfYnjGCRjU1Gxe/H/PF5jfHk8lInKPdtYNhLNI7YpXhs9gPN445ULX8OPOpLqzHo85n3X\na7Ne/5z0IhGyzmVyOpDBz4uQ88ApBlYK0qyQiF74HPb2ML+JDUu8VKWXysJ9YxQzktrBeQ6GXg8y\nTtM0o3wYLFydyXNn7FzE+HsOeXJA32PdNH6v1+vBSGIgagWpNwBUxtrfDKYY5NhRi9OeeY4E6yeD\nO/eDJyc15JAvHKSTkxNL09Rms1nGafKcR+93vjeqkMfjcdj4wHPUPGPOAIKIDk8z02hA5a/OCPqS\nd5HSCls+Pk9ndruH9bFXV1c2n89tPB6HiNWzB9znuAacMnYQjo6OQgbGyw4xuOKaLDNcDzqEyBRO\nw/39fdg+E85N0fiIjS0d35rVQGYD/cZ6XeTgmz0+LU2L72JOYBkbEHMWimwIt5Wd3jyHKe9aMbvr\nYUNZ4v0OEFBoUfDPQXsHZC/64LljLaLyUtZFgMzHeS/mw+ypAWXjCycBKXRNI6kh8bx/BRRvQHq/\neXzD0MD4MPH5mr5ngNFUlZLnZZcF5dhxuA9nF1D8hYI+frCFOg1q1NmIQq4qLwZkrIdWhyZPl3ia\ngyNt1h3u+5gRxPFw5o6OjqzRaNj19XXoT48PL53O77gv1m0i+lfe1FlgMObIWJ/7qnrI8gLx73Be\nsOQLzkHMeWR5cfp3s9nYfD63i4sLm0wmYSMflY/eH3qmYw+FRoPBIDxxSOco0Qc6hw55ciQKhwVy\nG4/HNhwOw/75mEKIFZ5x36gcYrYM94Z8YoDs2RDPifWyZp799K4Taw/6MRa5cz955/KYzauAL0N5\nWPBcYtmjbRjPzw1WvpZepMpaU6cKEmU6I8+bKyN49qg1qmSe8ibyQUWAHDtejbl3DhtjvYdeU6/N\nRgoKpJ4x7sHn4rPyVfQ59t1ri5k9AV41EEWptDxnBveDPrVarfCUJPX6PcdHp1T0M3hio1vUhwz0\ncPpQDc4OhZ7jpRa1HbrPekw2alg0zRrTRTVuSpiW0J3fdMzk8QV+lsulLRaLAMZYEREbf6xTPFbS\n9CErMRgMwkoOTVcr6PE79wVAGbbp4ODAZrNZeNwitlTkfdP5XC/i037i6RAvckdfJUnyZN4fxalw\n8NhRVZugPHlTV54DVmRTwSc7dqxPeaCu/8XszNeQZxuLKEkeigvv7u4yjyrlMeOd81L0YoAMo6Qp\nQfaOzMwVIHuwrGBeQYtHCgxmjw83gGHBGmgsu9ICEOZNq0NhPLzIQA2QB3qxdmKw6nGxe+Bc8K0y\n1kHvRSye01DmFSMGl9iSMk1bcduK2uu1HZsV6DykGh4FYS0EBK/aN+BLMy0ewEK/zB42RDg8PAyF\nbtpfCsbeZzMLxU/emnrmjQ07zuFX3qYbaqC1XShEQoV8v9/POH1qYLV4inmaTqdh61FsXKFAwzxA\nr8webQxk1Ov17LvvvguAzMu5PPnoOFSnrVarZQCw0WjY/f19eP4x5Mh9ybrkATLuoTUq2sdmFraE\nxeMom82mzedzS5IksyEJZ0v0PugvzwmO2dkyYIh+5MgdUWQREHr2IwbQeC8DfDE8eA64r1Yr++mn\nn+zm5iY8DwHOkMrnOQ7Ml9CLpKw1CmKvUEEi1ijPqMb+j1EsCuHI3YvUvEEFQwZAVlCORQZFQOZF\nb89R7Jg37HnrsWt4vJdpS5k2eUCj/HkGocw98e5lYhgUYlFpLHLAS42cgrDyq4MVW4Mi1RkrNvN0\nQPngefGYfLx04nPm+zwHA/zwtBNnPTiFHOtDjdZh7AAw6C/lxZMRZIPsFh5Qw09B0vYX6b46JigO\nBOBw/2m2A4AEpx7pZT5GAxV2RFlGAN0kSTLzyKvVKmx6FMtq4X7q7Hpj7UuIHZvY0/GKQPA5NgTH\nK7+ek81BDMuiLChvNhu7ubmx6+trm8/nmaI9b7x/rSzzaK+AjMgASsdFRjHP0POI8A6lLZvixLkK\nwOgkrvjGtnoxUAaxYUdH6QDzDKIqbV5Uwum4ok7WgcgOkG6RyYOen6hS5uVF0HkvT/k1FcwFXTpt\nkQcukJ9XAQv5YTvNbrdrSZKEx7wpAGtEzOlN/M9AaPY4b6b9o/2pDsLbt2/t7//+7zPP7PYABvf0\n3qG/vE4XPHE/8TuO44IujuzyHA1NmwOMG41G2DSh2+2GjUZYPqqn4AeRMTIF2MkMy4s8QPcAuFar\nhZqPfr8fHu13fn4eIto0TUNbNVVv9hix43cenyw3NsYaWLBum1nYrpf3dkblOOakkyTJrLnndD/z\nY/b4nGBEzShYPDk5Cddh24ZrJMnjBkkYD2yDy9hPJtX13e7xsa8odIPc9XiPWCe9KZSywM79gmwn\n5IW+1DGcR5PJxH7729/aTz/9ZBcXFxndxD3UEfBktA96kZS1Apx6/CD2ZLSR6p14DffAk39nwINw\nPc9Rj/ecBY2QywJbWUXz5FCGPAck5liYPT6JyeMr73teezynSvnzDL9H3v3zBi3uCUOHKCUW7Xmy\n0nvlRc0xnr1+wS5gsV2/Yvfw+vG5/VLGaYrxrTLiwjdei8ry92Sj/HDBkoKxxxPzwc40R8ZYQ16v\n1zNRrFl2ikH7WOfXeVoAc9o4jwtQWS7gEfcDUOKzgkNsjKqMzCykzbE0rNlsukuuVGacjfQqrb+W\nYhGy8uERt/E5AGz2tGhLs264ftH12EYh/Y5K//F4HPZTx3WK7MCrBmTsMQwheXOH+A+dA/KAm0G0\nyDDybj98PTPLRObgy7suzgOhY3l7N96gAW3SSlZdaoIO1pQjt/05Hp2CEQacphI9OTMg470IrGMG\nPjZHru1go87euncvXI8LR3geUiNl3A8pTFTZoiDHAxbwAVmh7Yje8LALboenc5oeVmOAYjOtnYiB\nLxcUMb9pmmYiXOgk3xfvXE3N88cc9an+sQ4qAPJmOXgyFx4U42UxIDO8OE2Nh0iMRiNbLBbRZUPQ\nGWTZ6vV62Ijk5OTEjo6O7OTkxL799tuMnuOaSDejrRiPkBsKyzabTSgwW6/XNpvNgtzS9HG5JB44\nwltGYs05NrjAVp1o72KxsNvbW1sul+F9Pp8Hp4HbDn0HuOOdHYPlcmmnp6e22WxCxKZgxE5Xq9Wy\nzWZjvV4vgDrru469MgQ+0RY8WObw8PCJ88vngLbbhwfEIMKOZW2U9NpwzHinR+gaXiobbUeapnZ7\ne2sfP360i4sLu76+DvPHLEe1Y8zHvsHY7IUj5KKKWu4Ir3FehKP/8bX0UXUYqLE5lRgYxxSD53mY\nryKwUhCMtdNrlxIDHhtRbZtGoAq2zA/zFYu48F+ZaDXP2OdNWSgoqwy9zzgfDkmr1Qrzkp7+sAOj\nUQo8Zk2ne7qmMvNkx8DGBkJ5UhnpZ/RfrJ/yZKROjUZlef3EoMwP3tDliqyLuI7yxw4CPxksj9iR\nQmSMNdDHx8d2fHxsZo+PW4XjzGuaVe6eowB+GJDNHqekEJ0i9QxHARmQRqMR9uXHPRaLhXW7XVss\nFmZmNpvNgow4O6AOMTuAaAPWsy+Xy5ABUmeGrwOnjovIvG2K9XyWe+x/nYLg/by9/lTbwYVxXnT9\nHFDmcazjQNvhjZ35fG6Xl5dh7hjOUpFzUBQcfg3tFZCx3STPPXlVfixAECuT54nkASjOV6WMgVXe\nNT2j5QE1ikc4hQPvkaN1b5kEU1GHemCg8vKK6DzD6xkBlZ+ZX4GdFxnngTL6gCNT8Jh3H29uj6NC\nTcPiHphD1o3mOUJX7xrXgrGAHoN/bzDHHC+VBwAFjgI8cL6+OrCactT+wXdPJhwhc7aGM0c6bngM\ncGSK6HgwGFi/37fz8/PwIA6kZ6HbcFZ57lOBb7FY2Hw+D5trcFpYAYHlhsi41+vZr371K3v37l3Y\naAb8Q1e4oAr35zGMPkCUhiVNSF1C78weosw0TYMjgSVV3W7X3r9/Hx5iwSsJ0BcAbzykYLFY2NXV\nVdgmdDqdZqJxznCAT54X32w2dnFxETbZSdM09BETdAvH4QlGZhaiZES2eUDKBBnsdruQ7ZnP5zYc\nDs3M7OzsLBzLtlvtDlfY8xIyb9zgGvyZl6nqckq0HWMYv3mgPBqNbDgc2qdPn+wPf/hD2PDFm9bh\n+7Mt+YsAZN7lyosOYnN2ZtkF/2mafch9bP6NScEY5+H9OUL0DLDZ08fHeYYQ6UHe61YNcIyHMmCt\nBizmdOA/HRQxpVNPViMuBU79nidDBhxelsJ88bU4Jc2etKauVa5IHZpZGLAsIy4u4yIXvi8Dpnrl\nHr8qE5WvRlT6bOOY48gyY32LyUxfOo0C2elUgfKi0wuYr0URVbfbdXUG45cdbgZkRMb8tCR1LlVm\nHBkfHh7a4eGhnZ+f2/v37zPXx/2RqmQ9AahxpgGZEDgI0+nU1uu1zefzcB4bXrQhTR8i1na7bW/e\nvAn1Aeo07Xa7MDWD/sZTu3AcgBqZAnUwEUmzrt/c3NhqtbKzs7PM8jx+x/ndbtd2u10AYQAoUuNF\n9kCJnWMEHpPJxBqNRgBAzQCBwD9kjKp1nc7LA0Mzy0xhMLYwILND5c2bp2lqk8nELi8v7c9//rN9\n+vTJJpNJJjqOkY7VfYOx2Qs+XAKMqzFTo8EGQgezGkQPzJBy8nbPYQGq8SsLzBr9Ma8MHqyoUDye\nj0DqD3zxu35mikXIkJNn0FWOChh8nVibGXTLRsbMG8uGjTxXpev9VDe8yFiNl/Y3jPjx8XGYS8aG\nIQzGWk2tBUfqZMRkGZMNf242m+HBBxcXFxnDbGYuCPO756iVAWWVJ871ogb+D9kGbGzS7/fDphuI\nAvkVmyZRRwdgzIUzMUL7sfYZ88aIzlkvcF84ewcHB+F/1HhwhMxzx3ih71kWKkNsQoLoE9ke7R/w\ngywC5psHg0GwFXheNjsK7GSyjkGvh8Ohbbdbu7+/tyRJbDAYhPazU8CEh64gur25uQmPKf38+XNw\nNNBmbr9H4HG1WtlkMgkb8qD/1Y7jHDhBk8nERqNR0AEdN0zgAbYTYKyrJBSQuUKa9R1p6evra7u4\nuLDb29vwsBAPN8ATlrLx1Cfsh+r819KLA7LO4bCBgKLo3CcDcgxUzR7narCkRAe5B1b8ex4xYCiY\nwaDCS+P0IErmx+Nx5pmaKM2PzSUy5fHGis6RhBp1kEaXGlV67fYiUTXuCkLeoGJA5pQ1ZOUBijo4\n+Kx88TvLAkby/PzclsulXVxc2Hq9zhSU8Z7lZtmBXKvVwjITlYu2N+/Fsmi1Wvb+/fuwGQY2CeH+\n94CYBz5IM0meI+AVGBZFDXx9Lubq9XqZPaJRLKSOGaeKvQhZU9a73e5J21gv0ZeIzs/Pz+3s7Cxs\nS8r9w8VwiGghC7Qd7UY/oyhpOp1m5o6TJMmknjnD0Gg07PT01AaDQXhamRpkdZQhFzgBBwcHtl6v\nbTKZZJxjBSedakCEPJvN7OTkJNOf6uyzTen1etbr9ez4+Ng+fPhgFxcXtlqt7O7uzm5ubsIct0de\n30AmiLjh9KIfNPNkZhmZ393dBSDkCFltBwct0EVewoXUOW93i/5GtKuYMhwObTKZ2KdPn+zjx492\nd3cX7HTMQURkn6ZpWC2hO67tk/YKyF4kqcYLxKDMAMygoWDFg52LCjiS4vt7gI7f8/j32uOBDg9Y\nRFao1MMgZ2PLnhbzEXMQYpFMjDxDq0Yb4KbA7Z2nbS568bEwfnzv2D3yoj1vjsnji2UAY56maWa5\nikad7NjBKMKTRyENKlqfKxPVFQ9cWVasBzEnNM+RLCNP8JGnVwwkvEc01u2X4ZGvzWPEM8DaB9yH\nmENGlMxz1ywzjsxwHjv63GYer7zjVGx8Kbhirjg2XrlNGF+I4JBx4IfsaN95USPzjCIvPOSDHQOW\nBQcfzEu73bbT01NLksQODw+DLY0BUp7Tjk1L4Gggja5Tk9vt43ap8/n8yeYbqg8cGfNUE3/m6Seu\ntMb9YH/Y6WYnbDqdhqp8zYZ5gR//rnzsk/YKyAyISZJkBqEWN+E7KzsPIk4JqIB2u52Nx+OwjIKf\nT8oDlasiywAykwcOHLExyCAdhw3zkfpKksfNAtDpWMvJ7Xqus8COgk4PaHSMgYY0LNIz4EuNm7aZ\nIy4utIpFi3wMDAU7Teg/NTx8Po7nJSLsqMWicuhRkiRhmcrd3V3mwRGasoYcefDimq1Wy87PzzNr\nSj1ZqEw8R4RTa+BdQYV11au9KJvl8foEkVbe3BffA5vnnJyc2IcPH0IxHIMO2udF9iCuZEbKsMi5\nxNjF1MPx8bGdn5/b+fl5uCfrOqeskaaG/kOX0N8o6JrNZjaZTELK2nOYuI8AxgBB1hUNGvCO/7Ac\nCjuKTadTGwwGGXvJaV22i3AWUOW93W7t+vraFotF5gE5sAUY0wxuzNPR0ZH9+OOPdn9/b8Ph0G5u\nbuzm5sam02mQleqH52Qh/dxsNsPcdK1Wy2QC0c849v7+3q6uruz6+joELOqsc9+igAuFfYiUDw4e\nn9KHhwJBB5CJ0GBou93azc2NXV5e2sXFRXjSmDpkkJ2nk+zsa7p8X7RXQOYUDIyjGi71SHhgQRhQ\nVN4nFddVj5FBn6MAHK/RkDd4lDTywrsHUFBOeFxQbF06wyCeF2EUEc7XyCqvDQwSeVErn+d91t/0\nPurE6IDjFGJs/siLMMtG6dyvGpXoLnFqZDSaw7zYdpvd0P9LXkzqeSvffEzspX2vbYn1jRfJen3M\nhozTg+oM6LhSPczTB5WLJyeeQ+ZHtep0At9fHV0vQuYAwXPqYvLk67NMNbLDeepwAVB5gxWQNxY4\nAGG7x0u1EDWzs8pgyADDMsXGKkifL5fLjNMbI9Yn5oe3DWV+EAzw+mMtoFIZq2Oq0bHOH3PqWJ1R\n0Ha7DY4Yqvw5SPB0yXNMPN72SXsF5Pl8bmaPjHOBDLYynM1mwfPUBmLQw+tWgIZQsbMKUhC6Ly7n\n+NWbNovPo+UBGw9izBPPZrOw0cHl5WXYEMDMgie3Xq+t3W5bkiThyT/a3qJ5PQ+w2BCo4QG/DDDz\n+TyjpOwwaHrLi3xjL+UL52Gg8mBCAQV44naBB3Z4oDuc5sQxKheQ6tW7d+/s9PQ0REQ6gLm9DMrg\nEfO9vHZSHQpvzt3LJCRJElKwnDVQINSImF/QabzztbkP0S7mBf3Obed2s/FG9IEIBPdTGTOf0G0G\ne/QjP7nIG2P8juu222371a9+FbbIjI0PBT7wijlGgFaSJMEog5dYapv1LM9xjNkN5gkyxyYig8HA\njo+Pg24hMs4rsNrtdqH4DPPPSL+maRr6SB025Q8RXr/ftx9++MHG43FoGwCTMyoxm8h1AYiQsbSP\nI+Q0fahq/vz5c4jK8YQvb/yynLjmA6l+TFtgCgUpe2QGECBBn8HLer22m5sb++mnn+zu7i5sBhNz\nxtj5Zd4gP8+p2ge9SMqalcHMAjDxOw9mFgrmWnE9eFswLLrpeixCjkWbZaJQJgUagA2KFKbTqY3H\nY7u7uwv/o21I28Iz1s6PGQKWHQaUenKxiIe9dwUXNt7Mq8olFuV5A4h51XM5AkG0yRGytoPPVyOY\nx5MSXw8DGU6hFyF6bTB70MXVahV4L8MTgyR/BsERUzD2+PcMhIKP95/2jRd1eccwgU9OQ3v8xngF\neal8jzxQrtcfdujq9XqZSMSTGc7xnFRvDll1s0h2MTBmfj3HiH9DG/g57DiGZaN9zscg0IHd49Ul\nPPZxX6/f0beHh4dBxrzLmNfHXj+x4w3Hh3UG8kVNhjpCMV3i6Q/oAS/F43dvX3y2e2wH2RnTOWyv\nrWoj8Bs7x68akNX7TZIkRK83Nzdhpx8Arc4X4zekPhCZIN0xmUzs4uLCFouF3d/fh3kpdPButwvz\ntehEXAP/eSmG2ADn/+EVYnH7bDaz29tbu7+/z2xGjnZj8HiREI7ReVxVdm9w4T81ALim2WNaDrKD\nB67txCYYunl6kQHS/2My4wcKoBLTLBtxgLiaFO8c5ecBJ7ddv8PoaXEXnBIFUsgBjt/Hjx/DgxUQ\nAcTm0/Wl/5s9VFyj5oCvw45pzABwOhZ6jHecr5kS1SFcz3OAYJBhaGCoy/a5gjNkrE5zzIFTA1mv\n10MxFww8O7Z5Bh2yYIBIkiTYDNSdeDzjul5UzP2pYyYWKYMfjPVut2vHx8dhYw3uG1xDp7LAF/eT\nPloTPPOxau9YfzqdjtVqDysS0jS1y8vLJxu2xN5xL9gW7CTGugrdHo1Gdnt7G5Y7ealibifjApwX\nYAdHyCj6g76i3ZAF9y+mFUejUWYDGB4b3D7oG/ePRsjIHu2T9grIvOmBDrrJZGLb7UO5PFfHYZ4Z\nHciFGphDns1mNp1OQxEChAvAgVeHAYQBAFBEB2nBiVIRwLCnhXT5cDgMHqvZ4wDMS+/iOHh6POAU\ncL35Mp0jUg+fBwqKuHSNJe+Ty8VvaKsHgGXkxMeo4VBZ8nW8DEAsNa4Uc04YfLTgyHM+1KDC+eI0\nd17qXj8r0JhZxgHS82MAE4tCOTXI77Foz8ye6L/qHPhB6tCrBI7xyjxzv5apW8C7Rq3YGMRzoPhc\nT2YaJZtl97zndHWezPIcUnaWVRb6HTzg2c3Y+18BWWXo9ZXnFEIHWIaeXkM20MOjo6OwQsSzkTFQ\nxr14jPOyJ572QXrdq+j2xi3GLEAZKWIu9MJ/Og3FmVIQsIK3yIzpI8tIHS/wxbv+7ZNerMoa72j4\ncDjMLCfhhwxoRTUq9pDyvb+/t7u7uwDMHPnpjlgQMqpq4SUWDZqYh8vHaqoa8xAMmjz/p8YBKRZ4\nVvzQAR5MUHIeVOzNsefGhIEK7x8RKkcWOuA9sFM5PefFAxqKi/5iwPe8TwZO8FZm4BQZnyR5mI88\nOTnJyErBk3WBDV+SJDaZTCxNHx/hqdGadz0vWlbHh42rXhMEnYGDytdABMTOqEbTKgvWaeYDY0+L\ncjAeYwCVpyt5x3syZ5lwNMhZjZgDo3xwpMW2BdmsIvBjvnAMAyDu4emd5yCCB+wLzpmpIueriDzZ\n5jnOGGu73c76/b5tNhu7uroKAZIHwjF90r6GbHh6IOY4saw8W8KFha1WKwAyKqsZkHEe2o524DMv\nlfVsirYvpiNsy3Xr0q+lFwNkjpAwqT6fz+2bb74Jy0j4+aBmTzcWQVHQ5eWlff78OaT64HUhCtRi\nGryQbkPnxbx6jzxvEN41L5nQVDUbQ/7MigVAhnJBqdgQ8QPt+Z3TSUpQMniCnJbhLAEbB/WuQWpo\nPQcDx+l3HAuniwE5lprFOSiAw7Ugk7w+KvqeJI/LoFarlY3H4ycpKwUEvJD2wvpypM4YdHmuqujF\nskSfAQRhQDhDYmYZJ47lhXc4Cs8BZO1nHq8wpvgd/HGfeBkf78Uy9fod1/RkzzUjOi9ZBpQZjIsA\nWQ1x7F2dK+ad+8wDU/yPfmRd16g0L5MX45dlqeTxBWAZDAZWq9Ws1+s92dmM76dOgto4lQXbYo+v\nvHvAZnKEjIJIRMjgn4M67iduu9Ydefob409tH4PxXyQgoyG8+wxHxdyB3OmoQkRVHs9FsQftpcSS\nJMmsuTXLVhbzFoCqGGgDvuM37lQ4BjGjxJ2oAK3LSRiQYQDZOKmysPFixUda2EvLMJAzEDMgxAy4\npv4YhBXMGRS8NFIsWuIIjXWJz9E+in2PEfcj66qCBXSXnQEUd6HvwI93bgxg+Fg2It5x7Liow4O2\naMqap380DesBDxO3B44I9p7mauSiNsfuxzLVe6qs+HcAKB+Xd1++d6zdLNMYKDN/rDtF/V2ki9Ah\njHnPznhgbpYttNOoMEYxG8cyYBvkHeO1gR0eLq5iRwJ6CFvHj71Vhz5PBriPdy8NgDx+Wb+4jsFz\nXGLne8d56f2vpRcp6kJjMahrtccnwGCQmz1WUcfmte7u7jKRHkCHUyEM0FyFiG0roWiIlsEH5m9w\nPyb27s0e04KYNx6NRjYajTJz5gparES6lg7eXq/XC8sVIAPwD08VcgLwsnfHxQu73S6zAw4bPm4X\nF9AlSRKKvXidLh/vDTqzbKqb06XsVfKmKOyYsQfLfOI/VCGjb7wImY2C/h4jOBDQKchAwZIHLqIp\nXqupYMgRMgML66VujoKlHOAJx5lZxinRrBGAkaMINl7sCHOqlmUGufI761iSJDafz200GtnBwYG7\naxn3uwKXGkpcH+PeA0h2Lhn8MT2EZS58Dt7zjKvyo05ODLD1uixb5jF27xgv6EtOd+rYUcL/ul2k\njsmyvIAfyBi2UPfmjjk27FTw87J59zHmHbu9wc7wlAiOyQNl2Eye5uPsKvhRGbKe6hiMySnPAQFp\nYLVPerGNQdiwoSPUWHneBUcoeCQaX99LWcU8ZhhTgDOUVyNPL5LA79wZ8NY9wIt55GUGvBoHyCtJ\nksyuQ3xPgBwMHdLcDF6xwcSpv7wogz+zg8H84D/ucz5HAcBrP/+P7ICCsBp9yI0NppJeG/zxrnEA\nOeaHAZmzFuCP26hyi+mjgrVZdgMb/KeyVBmxzqiOelMlnj6WMdpwRrggjx1HlS33Dd49veZjvP5R\nmXEVMTuteo5HnnFXkNWxyaQ65/HojeU8YlDWl+dEe33MDr4C6HOJr6l9pECJd5zDG3TwKgaQZgN5\ny1DGCrU1eTZJnSzPsYrJgf+PBSxeH3r2+6XoRSJkGB0AKubA4AEj/QfPTz08eDOIROGJ4T9vbg7n\n4P61Wi3MPWE+mQ0hlATXVdI5uCRJQnTMD41gI+EBn6ZneLMJrI/l9C4rONrD6/YwB4KN2mezmX36\n9Mk2m82TZ7PqwGU+EAkxAODFURm3EzxzSp0NCc5nBwgV3OgXHKcgCMdNnSf+T/uGI6kYqZe8XC5t\nNBrZdrsNEaoadwZknoNPkiTMZ/HevR5wql4CWNQZ0GPNLAP+yC5xpM3LPDQK5YwE939Z4KnVakH3\n8Hg9vKdpmrlenuHklRSsA3w/fYd+oJ3L5dLG43GmkI4zAl4fa3vQJrx4aqeMs4zjoGeajWMgQ19y\nKhr35/uhPRz1eXrO8mF7guU/iEq1j2P9ooRjeYkoV597gAwesLVqr9ezfr8f1vsjgEAwgczYZrMJ\nD+c4ODiw4XAYfbAF7Asvf8U1Wa/yImQPVDFmsRbaGxMeKKu+s33YN71IhMxGDEbFLDt3qR6v2eNg\n4EXvEBw6psxLoxGkZTW9rQMgFlHiWuBLPX3vnFjEBrmwgfWKHtTzw/ngg/fPRsERAJPvx+/oIx20\nMSPEfJhlUzU8YBnUPIfEk4EHgngHqbOg7eLBEzM+bKw5NYy+ZP50wKnjAIdS5zpj7dPzNbvj3Rdt\njmWA1FhqP3lRg/an6gXLkSMIHodoO6go4vQiGRwfA1RtJyJkOKHIGnk65X3WdrPee2M8j3QMejrM\nuugZeuZDo2P8Fosc+ToAJXW0YxS7lvJllp2KUjumuoZACVGvgiLAHkVY2LUQy1aL+lGDLk+ORTaX\neQcgx2p/vPHgydKzl/uivQIyPB6uFEY0jMbhWZxmjx3Ljdtut6GIC2uMEeXGAJdfuIbZo4PAWzji\nPHj8iOK63e4TQwbPDpE6NhRI0zTDN0gVQz1vGDlcYzqdZiJeKC8MEWS42WxsPB7bcrm04XBoo9HI\nJpNJ2GQem0zwTjhID2GOWueIvQwD5MSeP3ufkBsbRQWOJEmezG/FDEbMAG82m7BzEDtO6rXmGRo2\nluhHXi+epumTrV49A4sX9IILFeHcaF9zf+N4frIQO4L8rpkedkSVf0Qi6gyxnrGh9ICMedUIgNdt\n4rm3nL2JzdfhPtBj3ktc5RQDUkSxyGYkSRK2zuRtEvOAnYnTvLGMgeeo4D4clXsZOs/B5WviOzu2\nvJZVd5vyIn0ACjbF4EdAanGXylgdV89ZwBhB9k6BDwS+O52OHR8fhyeB6UNzcCxnNRqNhn3//fc2\nmUyeFOt57eXamPl8HjKKeQ6gJwfo4/fff2+dTsc+fvxof/zjH5/ISkGZfzezENgtl0ur1+uZjMC+\n6EU2BtEohAcjGxauVjV7TKXyxunqIXmeSSySgOGDh4/UCrykWq2WSXNrlSEMMD/EHGDvzfl4yuCB\nMhtpXAPygPOBzocBwOPLZrOZjcfjkD7nddhaDcuOg85XxuSlxEqtLx3c+B6b4+Lj9Dte0BmNSPj6\nZb1UD+y4jbzWm+8X49HsMfXNupJ3X3Y28qJrzzlhh1WBQPlmZ9KLvmKGh++voMyZGBhIs+zuYEoc\nATLo6BxlXj/hBecV9oDX7cbS8Np/qr/smMScA5AXgTKPsbGkzqAnH5aRZpw8J5OP9/YwyIsSPVDm\n64Igcy8wUT4ajUZYAqgRMreT071Jktjx8XEoBON0tDfuuLCSNxRRueaBMfN8fHxstVrNrq6uojYj\n5uCDH2AGv/ZJLxYh84sjWp4fAlBw5e5ms7HhcBiiPlVwL4rh73kRM6pFMQ/D83Hwoni+Kk0fqmvx\neDKAHQMS7h0jz9igE3kNNQMYIgREyMgaLJfLsCEJb73I11WPHZ41z4HBC1fjz9ER5t3NshEkHCVU\ndGP5Fw8IL3XleZzed/CAh4Zg4Cu4lJE5ywEOEFfnoxjOm3vKc6xYJmwE9Fqq87xsz3Mo0Q+aXlcH\n1zOq0EfoLhfceGljD7h4TLHTiOpoOIkYK+zoqVxgbLHtYewZwioHyBHOwGw2s3q9HjJIOIbnD2PX\n5WNVFjEelLiPPcdIHScvWPCI5c72BDJlZx/9ys+FRlSqUT+uyTJQMFYQxlbAWBETc1pgSwCoHB17\n2TB2hqATJycnQSegQ54tZ0KKu91uhwieH4Hp9ZX+B5uPLB/AFToVA2LPbmEahQuO90V7B2QFRXz3\nBjoDnJkFg48Jf926DxSLXvCZDVqapmF+dTabBcXodru23W4zpfpcMIDIczwe283NTTDeGonwwMnz\nrjTyMHtMpWvFOc8tIzLHgAEgM7hAvhpZYnCnaRqyFOrde4CM63BRFoAC0xDYFGU2m2UcG8wp5UXF\nCtRef+L5qdisQAuZ8uSsgAi9Y08bWQjI3ou8PA9f28GDH/qgBg8y9ZzUmEOphp8dCTbeChgwMArI\nZcCQQVkjZOir2WMqF21mYoBBNMfPrFWg8aJUtB/6VavVgjPN1+f75Y09jHm8YsfGAEGdLu0bjA3t\nl1iErM6CAjLrEK4BQOl0OgGUeclkXoSs8tYxgm2JYY/AJ/PMckSR7mAwyBSWxbJG+A9THQzIsewn\n9wE2Y+p2u8FpYOdXI+M8QIZzhiAtD4y133D8er3OgPk+aa+AjAGrFWgxL98su780zyFiHjFm2D2v\nKpZGAsERAKCAZ3YMOC3BW0/ywGCP2CyeAvR45EHHSqEDEsAB4OU5SC0E00HMPELWiIzz+IIccC2u\npkbUivl9rOUFL7gHZIh+B0jEDDeI5Yn/WSdY/l7fKrFxZ3BhJ4YBjh0sL9Wrc5CaAvWMLOtlDIhj\nOq0ArddQg8R6yIDIUWQeKLMOq2MAhwuy4vuzk8oE44zlLkizaprP60O+NyJ0vNjR0PvmtY/7jg0p\n2ynlJ5YF0Rf6H5+5L702wrGeTqfufdjBYv3rdDrW6/WCg+OlrD1SAOa+3mwetsz885//HObrPVni\n+ijQQp/mPWec74//sdoFfcg20HPQYIdQzwCZwdaw/irvygsHXCwPPd8j/p8DljJg/hzaKyCjWAuD\nCd4Ib38Hb5sVmJe38MO3kZbwQNkzWmrAFKAxB9ZsNm06nYZ5WygGG1vwjNQwDI8XRalB1c/KM5SQ\nU8zwsvFC9IYIGU+1ws5JOFfbCoKhQfTP8/swpCwvACorKJwWzKFPp1O7vb0N/eSBS5I8bnnKoID/\nPAPKYMh9jQGHPvCMnUfcBxwNI9Wvy5C4XxnMGHC95WSsL2gHZxggb4AaR+dqrNEX6Dv0B67HL55S\nwX3VkPESj7yokM/RCJlT+2aPu5WpzDQ64f5DmrDb7Vqn0wl67fUfgyTkhef9TiaTTP9gDCFq8yIl\nEIwnVwSrUxGTh6ZwOUL2ImXcTx1M5gnTYHd3d08cTbYHbBcajYadnJxYv9+3Xq8X9sLWKQlPF7yo\nGO/r9dp+//vf23/+539m7q2E37GhEfqTn1jnOd1KHCU3m80wNQd9UVuSpo9LPTF9tdls7PT0NDPu\nivo/SZLM3g6c+fLIc0ggM9hgs+wDlfZBL7J1Jqch1KiwgTKzzHImrajVAR+LQvW7F33w/7g/gBjG\nT4/RSN/ML7svAocyLwZknTv0Cno8UGKDhuspAMc8dzbEbAjM7MkaWu4n7meWUZo+bgEKGWPA8cDx\noiw1KDzvzaCh/aDnQRaanVFHxjNCGvUqYOsL5+CdjRPkpE6k6oDyHjteHSHVSeUt5tTyO8tVHV3W\nP43yNbLhfjWzJ5XEarQ9A8wyY0dEnShvuiFG6myBWKeUB5Yp2sWObGwsa7v0N2SYUEfj3YtftVot\nPIZQ1x6XSVczKOM+2+02PKwHTir3XwyUESF765+987zv6vCyfWfngfUKuoBgDTqR11exe/d6PXv7\n9m1IhXvtzGsL+hkZo33Si6Ss2ftEJDGfzy1NH+ZxMbDhqQCUObrgc9W4qeJ7aSTPcDEYo3KU54b5\nfuxAgDwnQUlTeTEjh0EBQOPvSFFvt9sQHbIS8nme0cbvaJNZdtMWlQmfj9+4H7HsgCvNAWwAZjV4\n2BQA3rO3XhHtRr+YPd1EYbfbBRmgyEwdkRgg73aP61hRoc4ZBkSsCmTMHwMOImWADO/NC94ZtPi7\n9h3vPsXRF8tdnTONkLm/VScRIevWrN4YYn1hPebIvl6vZyJkTf2iH1gWafpQfIOaDSxbiTmx7Jhi\nDhlZmslkYmaPu4Xx/vS8FE/HJ/qWi5GwFhYgxE4i86XAwY46OwV8H8iOdUrbOpvN7Orqykaj0RPH\nUg08+vHw8NDOzs4yhVQ8JVEEzNrX8/ncfve739lwOLThcBi1Z9y3SfLwkJbT01MbDAZPdCsvQub2\nIeJH+po3asF1PMcG9UVmFp6+hucj6330/maPzzL4m7/5G+t2u/Z///d/9tvf/jYT5RaBMfQAdokf\nK7sPepGNQThChtLyfKMXIXvn5Xl9Zn706f3Ox/P/MW83lorN62zlS3mM8a7fY6l3jY71PnwdBlYv\nqo7dWz1pgK0XpcccII7GUUWpFY1shHA8e/tee2KZgbyoAOfGsg34n/s2JiM1+EURshr4vH7wdCR2\nTF6GxIusFJxUdxiI83h7jg7y/XjeTquBtb3KH+seb+PJTolZ9qExzJNGheosqry8duj/3hjVbIo3\ntvj6cLT1SXHefXmZE9K8RWlqj7SfULCK57kXnQ+Cg6BrwcsAGbfNy954jpo6iawHLL/Yvbj9uG+n\n07GTkxO7u7vLyKaoLUysn/uk/a5qFoLiIkWDaAsN4YFq9thIjlR0Aj4PFGIpNZB2bswQxjx4HaDc\ncTAOfH018HwPfsdnL1XtgYg3+BW4OA2MqAZ85jkpfG3M76gxhIHEf+wAQCb1et0Wi0UA5Wazab1e\nz3a7XUh5IRWn/Gp/KBjooPZSxJAbdjObzWbhKVha3OUZNI6Q0R6OjGEg+d4ACVyXl/Nxmt/TLa8P\nvChZi8NUN5kXZCU8+ei7B8ocJWPlAbJHDIh8f52vRhSFymAGMM3IqPOCTFGSJGGFBFKl7OShv2A7\nPHkgu9Hv98ODDnSsqx5ohGyWrQlAsIFjvWspmKfpQ3R6f38fllLieAV2M7NOp2Nv3759sgmHzpuX\nARPu1/l8bv/7v/9rV1dX0S0smXAPbAjS6/XcGgrv3p6jiLHE2xB792RZwNbU63W7vb211Wplp6en\nmVqjPB44a2NmQR9Vj2Py436MYcTX0t4B2QMfDC5UanLuPc/T5872gJPPz3up9+mR52HzZ/Xw+HNZ\ngCuSU1404gGxZ1g9gM6LMHGsF50wGOQ5QAo0MIxp+hAlY8Dz058gPxyXtx4wT0c8MOW2c3V1bOkR\ny0AdKb4fO4leUReukedIxvospguqEzF9AI9mT7c4ZUDJcwb0/kUZEeXB6xPIgfcAj/Wx9h8cK51D\nxtPQkGVjYMe5DJBsT/g55HAqvLQyy1EjLZUNsjzQHb2mygnFmgxGHqDAYUURFRcV5s3d6m+ebNfr\nddiBUMeQnsfXQ9rfezKU966k7fNsaIzS9HE/ATj7bEvyZMHXx7Itb0ltURtUF/ZNewVkFooOEuTa\ntcoakYfZ05QfD6qYkSj63eOPwb5o2QD/znPDsfQqf/ZAkz97789JbRaBlxddxWTC57MxjL04QlbQ\nxrws1o4iKoZxTdM0M+9nlt2mUPudC+7MsssXGHSYdxhuzB1zhbUufcL9PDDmoiROeXL0iSiNI2Q4\nIypXrQGI9V9Mr72COq8/IRtvm0lPL9Fu9Cva6OmQOhd8X3Wkcd1ut2uHh4cZeceI245IFDUfAAOA\nA2wIrskV/ezg4b/BYBAKgyA/zrzgWLPs84d5nh9yQLYAx/L57AiwbAHGyNaw/Pke+Hx4eGgfPnwI\nVc0MhJ7NioEJ7oPtSO/v73PTreoc4zMXdRVFpXyu52yUqf73COl2fPYcQuWHxzV0JG/99JfwtQ96\nkZQ1Rz5mj56N2ePSCQZujqh4YHlK9ZzIQTuKP2u6UweT1yZvEOSBogfGegx/9hyMIjCOGVrINpby\n9nj3+PGiYwVmr/AIhH5EVJIkDwU2SF8zIJs9LU6CUYZ+8GDWeUmAN0dWvIbVWy7GEZUna97QQO+r\nUy5csIIpGZYtA7JnTNE+1Ye8KDWmD2UiZP2cJElGfmXur7rNzjS+p2lq7Xbb+v2+zefzQkBmeQH4\nVquV1Wo1Wy6XIWXbbreDcwdniG2Pjn8Ul/X7fRuNRrZYLDIFiipHLSpVWagTyk5IrVYL/Yzf4Vxg\nLwSubNb7gnq9np2fn4enKbHDEaO8cY3CqPF4HOTl2bNYcFI0h1xErJ9l9MCj3W4XniKoRbfeZ/0N\nNsmra4gFZkrqsOyL9h4hK3G0BsVF9S17lzifPUu+hoJwDMDyUrMeGD/Xw+NrxEBReX4O6Tmx73nX\njUVXRY6Gdw2+Tl7EzJEnPH9OHQLU0OeouO12u0/WLGsVtm6AwIDIhoEjR6S1sK5d541ZT9QJiwEd\n9z3ujyjK7BGQUT2qxUYe5RlP7QfVeY9XvCB7L/vjnc8yiDm3eWAcGyM4ptVqWb/ft8lkkpFLnrPK\n9/TS1roWFADIjh7zV6tlH12INdK6BzyiP556YH49YMa8tuoTn3t7e2vz+dxub28zezOzHrCDirl3\nrPf1lo3FSB0w8Dwej+0Pf/hDeFgNH180BsAfb8Wr/6s+x4AxZnfyiNuiGT8PUGMOL17Hx8f2448/\n2ng8touLC3c+Ow8TYoHN19CLRcggTfXw4xTVK1TANPMHp4KyF8V53r8aVC9CjrXHA+MYkOE9FsXo\n8Z4hjEX9eeQZUE7NqgLHBsZzwJiLvGAwF4tFMHRmFrxZbPSw3W5DuvHo6CjT/7zdI/QHUaoCMdLG\nyjfSgrPZLJOuhuHVwj8YYy9SZllplKxbevL1zOzJ029U7l7/AVD4el8CiMxnbErGGyP87kXFeSlr\njo7VGel2u3ZycmLT6bQUsLD+JkmS2WUPT9vBOl48T5inPTz51Ot16/f7ttvtrN/vZ/aLT9PH7Bz0\nj3fDYoBTvszMDS4Y5He7nf3pT3+yy8tLu7u7y6TMcTzOT5IkRMQoQtMH8Xh9WEaet7e39pvf/MYW\ni0VwkpUH6IB3fU7jl3U2PcB+LhgzwbZolbV3b/0NbavVanZ+fm7/9E//ZFdXV/bP//zPz6o2jzkv\nX0t7BWQvRQfjwr8XvZjyjotFxPweM4ZFBipGZRUq1qbYOV7E8zUd7QE986AG1LtnXsSkzpEabIA1\naLvd2nw+D8ZmPB5bkjzMM2PDA/Cl0xUewHgFVWb2ZFcrb+5TQUWjQwZfNSoKzgw+kA3mzRUMy0QP\nKv8yYyXPydLCmbxzY7qjvHjfVbdYrwByvKc1H5en+2UcQ88OeGMHYIJNNlqtVigOAsCyvnkZhpiD\nBN7MLHMt/g9bP8IByHOoOp2OHR4eWr/fD3qk56h984jlGHOm9HgGLk9ny+hy7Dz+70tBGW3Rmhjl\nzbPv/Bt0EqslYrzjN89p3TftFZB7vZ6ZPc4LQ2gg9byhuFwUwwbCU3yN+GJzWyDPiy8TGXtGjqOo\nWMfjPI5ylPIiJLznGUK9Tsyx8JwWBhGeA405QzG5c5paU4m87ScPAjxCDxuNnJycWLPZtG63a2/f\nvg3FU6iABL/gERWyeCFC5kgdOyB50TEfo21lg5ckjxuZaD97EbLuuY7z+dF0qkMsY9Z1z/B7xj9m\nWPk+Gt15uuXpjB5f5t6eo8JjrNfr2enpqd3f30cfeMFywL1hIxC9eBEy5pLhAPJThLjfarWHNahp\nmtrh4WFoB66NpZk4Vgv62H5pZGyWfTQn7ok2bDYbu76+tsvLyyfOKusYwPfdu3f2V3/1V3Z0dBT0\nS50Oz754+gAeMC51FYAez+9e/xYVwpahLzmX9WO5XIYsW8zGxn7DdbDhCp4olseT56C+BO0VkLW4\nhY0LfleDw/975AFT2cjBLK5YZYTvUZkox+M979giI1mGr6J7K89584vK13NfGj2DuNIekTG2roNx\n1YwK85s3zcCOg84Ve1Md2ieqOyqX2AD3olAUGMUGedF18/qA//ecKL6mp+tfqkNldZR54BemHbyq\n75jjqvePOQZlp3fAB6Y8sIyIHRfuy1iEjHfNEGmb8D87qkizes6M2eMUDYrg8IQiry2e8xQby3Ai\ntKCwKIr06EtB+Dmk7dPxWjRtE+NVx7fWCXjn/Jy0V0DGgmseQLyfsdlTUI4NJvyXV+WbNzDNnhaJ\neS9QniLq8TEwV6NVZPxiA6iMQ5DnAer1+H+ee9WlR1wpqm2KzSOW6RfwgTm7yWQS5u5qtZp1u11b\nr9eh2IYf38iRCgpxeLciGDw8AIP3uvX4Yf1ijztmyIp0Qpde8e/YWYnX3z8XEFWn8kDI46/I+cy7\nt/LgOTaxe/GrVnt8oD0qhdWJ4XvyfQF0vMyIAS5JHje9wTExIw0+ttttqPJfLpchk4OIiyNkLShU\nAOY+xW+cbdlutzYajWy5XIZCKq9f8Bm6fnx8bO/fvw8Arc6t11+ePQNvuD+e4evpRBkwLqKy55ex\nj3pdb1w+9zpMsHX7iPj3RS8yh8yDCd9BRUDG37/0xdfxopM8QC0i9b6+tgNjIFwGlIt+0//Z62cA\n4YyGZ4hjvz23T6APeGpVvV638Xhs2+027E0LI8jt5xS7rgvF9XXOOI9/lrEaMU/uRaDM0wBmj+PA\nW1Ndpq+YH/1c1vh4jtuXgrL+VsRDDJS1GCjGT57OfU2EbPb4GEZ9+pNW9sfmkD2e2NZxXyMgwT7w\n3v7lCsj4D1M56vzwPRiU8sDYzIIDnPd0Ir2ud+0yfbcPUC/SMW9slNF1/d2r8fh/JkLGXI7Z4/wP\n0nesgF8yEFkxY9/1Gh4Y530vS9qGvOuoYuU5AnmOSYwPvWbeZ47oeP0se/Uejypr5a0IiBmQEckA\nlPF85cvLS+t0OrZcLq3b7dpsNrM0TcPSj263++RZsJye5mjYkxuqdGHAY32hso+RBzgMvmbZZ/Dy\nsXnX9YC3rHyZtzRNMw6Xl/koQ3mOjXf/mAPMDpUHSMw35nV3u11mPjgPlLXvvTYC6MwspKtRl4A5\nSV47rIWDKhdNVStIIpqfTCaZjUBUXqxD0Bmuj8A9+NrPJWwIgnEVIwXlvDHyJYGBUhle8u5dxr7m\nXR/vzwmu9uF0xGivgIwlKBAS75/MvxdRWaPPx5SlMt5QnhKUjZCfy5dngMvypJ9jfHoFN3nXU16K\n+kX/8/iGIQMoY4kU0npYz4k55SRJMoVcvA82rzuOgTEb8eemjMsSyxfvZvYklf01FNOnmEGK6bfX\nN3k6XPRb0VhhPrzUfuy+/CQm5turCYg5YR4B4BEZa+EWqKjw09N/TikzIGMvdegfXrExyg4zjisC\nLpaVR+v12mazWWZ3MK9NntNYBLx5EXXsPkX8ljlfv+fx6fHF7Y3po8fjS0bQe59DTtNsdTWUFBFY\n3jzIc+lrgPlr6ZdMazyHPC+QjUzeYC77G35/rvwZTLEb12KxsCRJbDwe22g0sl6vZ999911Yx8oR\nEwxHHk9leCh7rEce8OS9nkv7lHfePfapz7EouUgGRe3JcwbKyMLrD3VQIQt1Vss43/y/1lWww/hc\nHmPHPaf/uagL53vX9D4X8Zv3Pe+cLx0TP9c5fN7PhS17BeRut2tmFgprzOKV19xQNS5e5MX/8Xve\n533Slyjra6EyABEzAGWMZKzvis7hCAf6gudlj0Yju7u7s/fv39uvf/3rzHNP5/P5k4eDe3wUEYP6\n1wxylR0b9i81OuCP3//SqMhReQ7lZWDKgrHHhy7j0am1Mk5EzIZ5gFyGz6KMCutsWd3ANEDeHPL/\nX4n7+Zcea+X2YStJPxdo/ZJC+0sD4zz6WsB4KfLSsH9pDlFeZPO19EsbjZeiX7JfX+LeP0c/PYfv\nIif5S6jsFMa+6ee4j6btX3JMh2ul/6+O7ooqqqiiiir6C6K9RsgVVVRRRRVVVNGXUQXIFVVUUUUV\nVfQKqALkiiqqqKKKKnoFVAFyRRVVVFFFFb0CqgC5oooqqqiiil4BVYBcUUUVVVRRRa+AKkCuqKKK\nKqqooldAFSBXVFFFFVVU0SugCpArqqiiiiqq6BVQBcgVVVRRRRVV9AqoAuSKKqqooooqegVUAXJF\nFVVUUUUVvQKqALmiiiqqqKKKXgFVgFxRRRVVVFFFr4AqQK6ooooqqqiiV0AVIFdUUUUVVVTRK6AK\nkCuqqKKKKqroFVAFyBVVVFFFFVX0Cuj/A/JX0EgADWDmAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 6.0\n",
            "    J = 9.0250e-01\n",
            "    grad_norm = 7.5577e-02\n",
            "    penalty = 0.717\n",
            "    mode power = 25718.239\n",
            "    dip power = 26400.492\n",
            "    coupling efficiency = 0.974\n",
            "Iteration = (30 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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gd46a0AE6EGLzYjHQLPJk8zzomOwUFL1jcD3w7A3qMhkA7778vYwHj/Sl2V20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\nCyFgUAO02VBjgCACw0Os2+12rjHh63hGTP/j9ci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jHEvrfY4HntcXem1PdrF2snGP3TPv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\nmcpElHIPxA4AAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 6.0\n",
            "    J = 9.0259e-01\n",
            "    grad_norm = 4.7752e-02\n",
            "    penalty = 0.708\n",
            "    mode power = 23974.983\n",
            "    dip power = 24631.490\n",
            "    coupling efficiency = 0.973\n",
            "Iteration = (31 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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k9uc//zkETHlO0657QnactdF+5YEyHNbz8/NwmAiOVkbR6C9Jv/gaMgOfV5mH\n38eiCigVv7NXDGBib5wjAv6NB/oecOkkinmaer03kWITywPFmIyZb/7fi4jzMgDaJ/47jz8ei2r1\n/mEcGFcAKDsOcHqQEUHRCm/h8DxmjQRwjbYJfVLnSPvk8c8RMowY86MGR7etmFkA7+PjYyuXy8HJ\n1Eg0T5bKM9rytuGpnsX0Dr/j+2vxjLbJPMb+hny8aAT3VXlp26XSw55/HLaha8i7AEj51ZoJL4LP\nkxXzF1tiyiv+3NUGPgO/u2zIrnt6oIP7xSrKd411Hqmt0bHfRchuwUHPG599ePF4i93L44/nAa+J\n7xMhPxc9yxoylIFL+bE+h1Qlb0lQ8gwnvxiQAb4MqjDY8ODNspvPuUoUG/J5XzQUxswHV89B0IhF\nJzBPcpAHeuo86N+IMliRNU3H2yO86lAPcNF+nsHQ8YD80zQNW5UQ1QFAAVDVajVkRJC2QppYo5gk\nSR6BCeSISY0003Z7/1hNZEjwHNc8XYKM+GlL/ILH7YENG2TcD/pyenpqrVbL/uZv/saq1aqNRiO7\nvr52+WAD4kXLZhZSudjvDV1nY+E5epAdfq8v3sfqpa/xuQc4mCsYP9XXPKdI9Wy73Yaq+fF4nGlP\n58oup6pcLodjMnFSk7eeCDug+3N5XiAjwbs5zCzoNh70EovmWUcUwM0s1FF4S3VcM8GV9hpksKx1\n/NQesIPCSxbqWHrkAZbaEx0n/T3z1e12bbPZ7F0NraTyYj14KphqoBVrA9f+EiD9LIDMRptTw3jx\nRv1YJ3VSa9QXm5wa+ZplvXQABYMyHxqA/1nxY55wLMJQrzUWycTu5XmzntIzSGuE7xWC6O/y+rTr\nc5U5rwFjGxafeITIGMDNMudo35MjCNdwhT1HyFzIp3x6IKhryFpIk2d0mFfoMQruTk9PbbFY2IcP\nH2wwGLhyizk8/M4FiVp9zH/HIjlE11ypzhF3TH9jY58k2SpbTQ+qQ5pn7AF8i8UipIE9Q+jx4hll\nOGjQLw+MPRklSfZcdD72kh1pBUgAet5c8to0s0fzU69lUPYKwnY59azfMRvwVNI5qnyrbfHkkCRJ\nCHqeWny16zrNbO5yNJQvDUSe2v6h6NkiZF3L5GpfLZtXUiCOGa+8l0ZxfC/ww+shOLBEvVaeuOpd\n5pFnJNUjY1452iyVSpkoD/eDjHENeMBkiVVnetHOLv72UWYeL8gFwMt8Ya8i7wuFQefUsE4MfVeZ\noc+4NzIlHI3k6QbrJzuL+J7lwPcEGEIf4PhhO9TJyYmZmc1mswxo5fHifYfxmM/nNhqNQmWr57h4\nETxABNvSACYoeow5hfw/yxHOVafTsaOjo2iFreeQMp+IjC8vL202m9loNApRoJch0nmCucK2o1ar\n2dHRUThwyKsCV2Dj7BbGlOtVwBOedXx7extODFQHKQ/4PYfOi9zhgGG8kNHg5xZ769DcJkgDk112\ndNd8z3MWYgELE9qLZe72IU8/8/7fl9AvdraAEzjP4peigwMyJq6ChBZN4e9Yygx/x0A5D5g5CjLL\nrhtD0HxUHUr5lSc1JBg45dfzPp8CcAoyseiC78mgoQCjaSqlXXzl8ZrnkZtZJruA4i+kqSFrLxKN\nedxsMFTWnH3Bfmid5J6e5AEyQFUNHRwy5o/lj74nSRJOMbu6ugpgvQ8Qs97yUstisbDRaPQo5RjT\nT43oAMZ8prEHEjquyjdkhXPGsXauY8d/K4/gCyecjcdjG41Gj5YZ+G/WB+gWjwOK8Hq9npuu5nvw\n0hLkBbky0DMg48lFOM+c5ejJTsfEk7PKjcesXC4HQMbYYWeF59h7c5IBOWaj9gFir1+xNXQeJ+93\nwIbPBWTto/7v9XEfgl5yRgn2Yd/+HYqercqaQUELrrhy1aOY0upnnnBiBhgTTw0xImVNmapB1snL\nQLdrQuYVgKj3760L4X56XzZSvIaiKVf8TlOeHn+qgNqm97/XFzPLrGmrPigYs7w9GcbahK7V6/XM\nU3j4Xh4YstOofDI/XkSFd88ZBEDASWg0GtG1Pg+IPQdUDYanF5pe5UiGDxiJ7Z/1dJ/bKJVKmSwC\nV1nHfhNzFHA2/Xg8tvF4HCJOdjR0jutyWJqmYQ53u92wjzyvYEiBnNe78T/PpclkkjkuFVXg7Dzo\nMlnMOTHLZg5VT/m0u1Kp9GjdH+l0OOw87ixvT8dVFp8DKupQeVFyHsDrd2pLPHnF7qO6qvP9KU4G\nZH57exuO9mRn1suCPCcoHxSQkULStTlMYg/8FFzMHoOqp+x5pMDAnnSpVMqk0FERy16bEqesvTU4\n5pn75HmS6i17k0jvx6SGjuWjlYIeOOlEjjkLen0MFD2ABE+cDQFf/OJIUGWS12e+FuPabDbDQxmQ\n8o8BMeSjBzFAfsyHpqoZnNWgc1YoTdNQYASjCvmwgdSo2NN3pM28U7t0HBmIkfrklLVnRD1jre/l\ncjnzSEA82UfHj3UfvLMhX61WNp1Ow9Gjo9EoszPCA2OeC+z0l0ola7fb9u7du1A4qlsoFbC8eahz\nkI/orVardnt7G57nyw9UwfV5BZTcDi/X6bIIQB6nV81ms2A/USTJIOil9tkBzXN+Vab7Upo+FAry\nU5G0Rif2211joJ/lkResPeX3fI/VamU//fRT0EeubchzXJ+DniVC5uhDPUgvjeSRGgr+bF/yjA0b\nTvUg+Xcg9fLZUMfWz/JeeTyy9+85Bt792YDv8tZjXmmMz13XxCaR9keBRvljEN6nTW6bjSIbHx4v\n75WX0mP95HY8nVR58rU47H82m9nNzU1usVlMZuAjtmbHuslOoK4lx9KM3rh5/LFj5e1t9fRAHVOA\nMhwUGHSMF37DfGgEDrnAeeLziFF9z7J4qr7DmcN7pVIJqWqWM8slTR+idV6j50xRmqYZ/WQwZl1F\n27yGvFwuH91bMwrow1OKO59CzKd3Wtk+QKj6kGcX9yUOYnbZpRitViu7uroKj/Ll0+LynNXnoIMC\nMqILKIEXgWhUpBPR7HFRV17KZRfQwWBggqAwRQs/YiDGxRsYKM0EKGjnvRRMzbJGh8HJIzUs8IaR\nUuT1WZZzXqSgRl3/3tW/2BiwY8YZEy817PHCqVcGJU27InpbLpfWbretVHp4zJvnhKlOavpaHUbW\nAQbVWL9xr7OzM/vHf/xHu7q6sv/8z/8MzzlW8IUswAd4YMDTCNnLcCjw8TokAJCv1WUX8KOOAWTW\n6/XCljUcNKLygTzAF0frOGzh9vbWptPpo4e/eE4NZIOMCpyCTqdj/X7fms2mnZ+fh4gWstK0o+oQ\nf+59BnvB48DLbdBhs4diPui22cNRsrAX6IOmrdFvtJ0kSdilAJk2Gg1br9d2cnIS7oPfseOYJPeP\nFiyVSmE+cM3G54Ix6zoegTufz8MZ8oju1cnW33PWxqtW3xeg2W5yISY7nrgm7374bjQa2W9/+1t7\n//69ffjwIegmt8HtxrDoEPSsJ3V5qTk1wGz4QPxZXsdZ0OwR62846oxF69oWR0bqxfKgM+DHwE3B\nzyPtM7fPfVXAVvl6DkwMgPV/NYxev3Zdr+PkjT/+j9E+7apjw8ChD5CPRaAxJyz223345X5Xq/dP\njZpMJm42xePLG08G29j4aYTsfZZHMV7YUQEYsiPKv82TizoKCsb8G+WJwRDr1+12OzwdDHtaAYDs\nFOg80MwBAwOAHLzht+i3WXZJxszCYThpmmZAFnqoTqFnC1VGAGhEx3iaHTsY7FSxnDkq1og8T4/V\nznjEPPJLddILKtRp3BUhKzboPFR7p/rm3U/7ikNpZrOZ3d3dhdP+uE8xfPirAGScMQwh6UHpGrlp\nCk89LA9gYgKAcOHZ8KRBZM6Ruwp6l2eHwcEk2G634QASLZ7h6lZ4g+wweMYbclNl8vhRAIQhYPlC\nZrgWXqxGMh74xtKfukczFiErzwyWfJQnt8sRFd41ImY56lo+V9pWq9WQeuIoTyuqOcrZbrdhexEi\nMHWMFLg9w8Jy4ANntHbCcxA4GsQ7+NNTrCAnBV/WQ63UjUUOHhBzNgHbyvDccpw/zm17aXHwA3CZ\nz+c2mUzs7u7O5vP5o619ns7oc9RPTk7s+PjY+v2+vXnzJqPnKLrCIwfxORw0yA2FZbxWuFqtQlYF\ngAw9xbG/fBQl9pzrKXQA9Pl8boPBwBaLhV1dXdlisbDZbBacBu475AQ9hJ0BOJiZzedzOzk5CVGv\nWfY54KwDZhYAHGc0LxYLq1QqLoCyHVBS3UbfMI5pmlqv1wvX5zlnm839M8xns1mQue61Zl7Uwce9\n4ZixLYF9wMtzgEFoZzAY2B//+Ef78OGDXV1dhce6shwVmKGbfxWArBGyt4bMEaBGOUqeRxIjNtj4\nDQCOD5/IA3hWbvXyNO0FxfBShgpW+6yz5A2wAoEqSSzyZ1IF08/03rFXLJXN91HSaIv5e4pDoPLk\n38MhqdfrYV3Sc7o4clDvGk5dDDhVlt7/6ph4bfH3eZEp/0bTwt54ePLiiEZ1SclzEADKeoodjDs7\nRTHnETzAQeV0bh4fPF5ITWIPNEDZzAJwAcx4nqrcwRM7zQAsnIMOp56L/7AcBP7gXGLp6+joyNrt\ndrj/fD63drtt0+nU0jS16XQa+oSTvzzbwPYrTe8jXoAPCr1Wq1XgRR1b1jveXho7iCNml2LXcdCh\np8jl2TfoIm+/89agY/fg+ci6qQ4Jz5NYFg7XTqdTu7i4sKurq7DXPBa5e86rJ6efSwcFZFYSRKIa\ntYF4suJ/swdlwt9494SwC6g8sMpLP+A+DMbsLGCCwCNjJYXBgZeOs3kRnXAflXaBcOw78KYGlCce\njBTahrFSYgVUpYwZeg+UQbx8ALDkU9BUhtpObMsO5K3AjDawhlyr1TJrthyhc+qVU8IYLza8nn4w\nr5o1UMPIjgJHXzEDg+vV6KicPSdF07C6Xsdzw3OIWZcgq0ajYb1ezzqdjr158yZUWSPL5M1fvj9H\nyLPZLKw/okhKdQ+E/uMwITwv+6uvvrIvvvgiRO3gHToBYABv3G/oP+YpIr3JZBIeTAKezSzsCoEc\n+cjWt2/fBh4Y+DAWkA+24s1mM7u4uAj7mcfjcWYbm85LgBynsLFvu16vW5qmmYOVIHPoAw7jQUSd\npvcZhFKpFB4C4+mAR2g/TdMgi+l0are3t2Zm4YERsI+sA/g9In7s6cYBK/q4TXVo+R2OmZ5jgDHn\nzBDmkedY3N3d2XA4tB9//NG+++47u7m5sel0mhkPvl5twT4Z28+lg297Yob1xKhYpMFrIfjcA00P\nlD3FwvdwADgd+NR0g3pvnFICaQSgBzJ4kQDzwDzv4isGxjGnQ2UTSxOqcWTg2fUZ94/5AoEvgLIn\nX76XrlFpcZd6wpALirvMskU3DIyaNmdDxuuIeePBPHgOhRoVOAjcH3zHL80ocRGR3jfmIMWWT7jw\nRuXOpOl9rNd2u91wVjTLQ50jnZcMyHxMJvYee+RFxr1eLzx/+u3bt6ENLdYqlR6Ke6rVamiHHVRk\nQvAcZuyFns/nmTkOm4G5vN1ug5OAc8uxfq0yBVjCGQcA4brFYmFmFhw01Z0kSTIp3e12a9fX17Zc\nLu3Vq1cBZFlmuLeZhXPeAcKz2cyGw2Hm1Cl1avPsEOwYbByWdyBjzSoxgX8UhOHZ17yFzNNFJV7C\nUJvHY8unvnlzdzwe28XFhX348MH+/Oc/23g8tsVisZMXdVoPDcZmz5iyjnkQPFE5PceRjoJmXscx\n0TltpV4Nt5Pn2cCg8GDEvDYFBxg+KBoq9cATjBz6qFGS8pPXZ++32jcFYy/dG7u3XrtPZKzOEAMo\ngzFOHPLSr9yWRsZeNKj9gRNYq9XCaVnYsgL5410Bmb1r9ZRjoJsnF+arVqvZ6empTadT+/Tp06Oi\nETUueZX/CngxXrxsA3QvplusS4jqG41GeG41olUdc0/3WJc4KsV89TI16kzDwcKjMfv9fojOWeYw\nyFwBjXaRWgePGGesZc7n87CezfUn0GF+VSqVkC1AGlltFc8DRMmtVsvK5bL1ej1L0/toE9E4SJ1M\nHlc4B8Ph0Nbrtd3c3FiSJNbtdkP/0XelRqMR+oLT4+CIfPr0KQPQ+wYoAHpE6/P5PGNzPB2AzBGd\nQgfUFqg+Ylw5KtbzDNB3nsOQG+MLHmV6eXlpHz58sOvra5tOp8ERU9zAZwB4PjvhuUD5Wc6y9gAQ\nxEZCwcTsflA47QSKTXiknZAqVvBUg4fPlRiMGZQ1IjSzUCSCfYEcjQCIUbGH3yG99RQwjg0287bL\ngOeleb129jHyXppWZYS22RnhvZqx6FKjO/zt9YGNOgNJkiR2dnZmR0dH9unTJ7u5uXELujhqggfP\n1bqeU7Pvi2VRr9ft7du3Nh6P7ebmJvOcVQYfro7Vz1RXYoAci5ARqcWiBhCvPSI6Pj4+tk6nEwqb\ndO1P56waM4AxoqP5fB70wnM2IBMc09npdOz8/NzOzs7s+Pg4ZBvQJ8xBACQXSEHXIENE64iMJ5NJ\nZu04SZLgdKg8kTrvdrvhXHZdp1RQglx4GxKecMVAxPMKcuNx2263dnV1ZZPJxPr9fqZID7rNOoIX\nnKmjoyP78ssv7cOHDzafz+3m5saurq4ywLWLMOc2m03YW48TzdjxZkcXdgBr9IPBIAChbntSOeKd\njzhmO8L/83ijgE0DvuFwaOPx2H788Uf7v//7PxsMBqGQK1ZjAb3AGOqS0osGZAYKM38tkq8FKGMw\nGTzM4t58mqahgpQNN36nno6C/i4hagSgxs/z/sAPBhjeGE9MTqUofx5P+wy2AruCqwIJwI3B24tU\ntM/7vNi75yjZi8p33Wef6JNfLA+kiM0eUtextD7zw9HcdDoNkz0GzPvKBePPUYx+7+mDpx8xJ4rl\nEJOn2eM55RlC8AtDiAc2cEXrPlknBTVv36k6GCBeQ0aUjAIqlYfO85iTyhEyV6BzRsSTK/PExV0q\nN/xGHQsABpwcZBpweps6meroctq/XC7bdDoNOwHg9Cv4qI0BH81m005PT61UKmUi9thSlmeDwBOy\nHfP5PIyV6hjuj+um02k4klTnkLbpOabs3HPWC3MUNg5jzZ/jQSaoG0BmhHFJdQp9YL48Z/lQdFBA\nVi+8VCplohwedFyrCoPfIsXC64Ac0YxGozDASBMDAHE9r2l/7toxTw5+TipPPI4A3r9/nylYgReH\nvusBKTGDm8cXSI2QAg0mDnjfbrchOkHBirbN/ea1W13PVaOhEXSaPhSR8JGN4Isno5dehQHi+3nR\nOE9mAEmSJCGau729zZwwpQeTgB+WPdqs1+t2dnaWSZHG1rZ3RckwHipjtMsgokVdPJ9i0TLrR0ye\nZvunrHF4Tr/ft6+//jpkF1hGiP4A0OCV+87rx9j24zlnygcMfL/ft+PjYzs/P7fXr1+Hfnngw5Gy\nmWXsDsZb146RsvYiHg4OsH6J87J5HPk36ihwOr3b7Vq1WrXJZGK3t7eZSB7jpNHaZrMJz19G//CU\nLH5ADsaWMz/qMJXLZev3+/ab3/zGbm5u7Pb21q6urmwwGNhkMskENToeIMh/uVzaeDy2Wq1mt7e3\noZAKhW8YmzRNbblc2t3dnd3c3NjFxYVdXl4GUFYwZtkhk4V+1mq1UESnz7FHe1jf5qAOwd7FxYVd\nXFzY+/fv7eLiIgRNmlllHlg/Gac0XX4oOiggcwoGQuBJwUaMlZnTuDoJ1IPG91w0pQYfk4A9x30A\nTw2bF3GoAYbCTSYTm81mNplMMpExCJOJQZAnzC7eYqTteFGfgivz7snAAzuVRd71CkwgeK8KZnnR\nnQJx7Bp1VKADiEp4vc+LEnlskyQJFdow5k+Nij1nQUHVc650LGORsuoA90XHyePDi0wxB9lB4C0/\nuuTj8ZUnV537qnfab6wh40lsXOAWkxHPd28Zx9NBjx+Vjbalc0DHjT9jQ86V/nziljqaPD6c3SqV\nSpm6mdVqFdbM0T/YU5WrmYU91IvFwrrdbth/jXObvUyBJxfwA4cLS1Fw0hSQ4fhwvU9s7vLYaXSs\na8ix7U86tpw2R5U/R+lMPH7ed8ybFqn+XDro3WazmZk9eOFcZYwiBmy+B/Ek4pQYBrZarQaAxtrF\ndDq10WgUABAFArr4zutanFrIM25KPKBIb8FjnU6nIQ2CAonZbGZpmma2SMCjxtYXDChnBNSgeUDI\n/OBvVWB2ajjdhXUydXZYNmy0PGCNRYHMF7exXC4zh5ZgQvK6sOdEceoYE5/b8BwFb2zL5bK9fv3a\nTk5Ogq7oFjw1hGxoUIiy3W5d508zArtkBB3AgzA0XaYg4hkjgBIXsmDMeAzxGRsnyITnQsx5qFar\n4ZGZAI8YsCvwMQByehgA4oGxjkOpdH/847t37+z09NSazaY7H5gXgABvg6nVaqE2wMwyWTVdvtFU\nK2TK4M08Q6YKwDwOLHNUZHe7Xev3+xkQBEDEHCdkt9brdVh/xhq4mQV7A15Yv5mvUqkUnpD17bff\n2t3dXZA7quA5Uo7ZSETzs9ksRMg4jIQzJeDzw4cP4YlK/IQvHkuMIfrCD6dpNptWr9fDskW73Q7O\nBWdSAby67Ller+3y8tJ++uknGwwGITpWQI45lqznXIviLV/8HDooILNxYO+iWq0G4wyPzsyPGhhI\nEZ0wuCA1zRNc15D3Sct55HnJ+Fw9VSgjTqy5ubkJQIP7wyPWE3LAo5dm9iKXGE+xqArfMyCrN8ip\nP/4dt+2BXyySiMmKgYKLs1geXsTmpX5jTokS3w+gkqbZwxmgn57Dg+9Q4AXePydCVh7hMMa8c+bf\ne3E2aZ/o2QPb2DXMK5wodgo80M+LlnE/zc54pO0DyHAyGGyCyjPGB88vbw2ZI6h9ZLdL9/X3rM/4\nGzLFVi4uRvLWsT05Qhf5KV6YT6zTCsS4H8Aah5mUy+Vw8ho7ypy6jtkG8M3FanDckCHdbrchMuXn\nSefpPi9/QA94K55XZe059Ggfy2ZaAOzZFs8Ox3TL28b5c+mgd+MSerP7DsBbgVdSq9WCF6WRHQSL\n7+E5YovCaDSyjx8/hipBVEtigLfbbUjfYBDT9GH9VPemgmIKzN+l6UPl43g8DlWGOCgfj03DfRDV\n8VYalkuSPKyRMECgTY5SPYOQJElmAvMLysjrKfooMfDIa4MKigqA+xgoliH6jqhEwZbvAUeGvWZM\nKI6Q+T3WLv8PPdNsBNpSA8O0Wq3s+++/D9tdoLueUd8VKUMv6vV65mEPHG0r/2ycODWHuYL+mT0+\nr93TZb6njjUMOvqGQ1ZQqOONewyMuW12CFleIJU/379UKoViLjgEsVSn9g8OFRtt2COsZfPSkjpq\nZubOQV560zkTkzn4gQ6ich0Ha6iDhb6rfNUOKShzmjhvfkKnINfz83Pbbrd2cXERMhhc4+O9KyBX\nKpVQMwK5Yuzv7u5sMBjY3d1dBgxjxDrOFf94sAlHyIimOW0Np4Llicr2u7u78Mxj6FJePyF31i0c\nJ4vivEPSsxR1mT02mqPRKKScY3u6WKnwGdLd4/HYhsNh2BwPIEZBF08cCJGNjFn2UV3MpzeRlHB/\neFpImw+Hw0wqjo29Glz1tuDx6YTTDIOCBe7PCsd/oz04M0i58u95rx4Xv6G9PPDzPsN98Q75I5vA\nFaWe8dV7KrDF2uT2NHJjh4/BTNvxjFeapqFwhX/vgYKmvD1HCvdnB8j7veeR84szSXjHfMF7rJ/8\nO6//LG8YO07J5YGgB8b4TaxugecqjzkbSUSTngPF/fJ4Ufti9rDtiUEstn1FHVLVR0Rf+4Cy2YNz\niOIwnLjF/VU5evJk26JOYd484fshNWxmdnR0lNH1mHMbA2V2DjjA4GUfpNf5MJA8HtlxAChDFwCI\nAEeOqNlWsq5j3R1R+j42hXnhzzlaf9GADOBTQ5SmadgM3u/3M+sD6CB77qjYQxHUzc1NON4MQIzI\njxfnebJg/QieqadkMSBmI8HXQPGQqubj32KTiqN/Po6Q01Zatg8lxwRngFang9tij5XT+gwiOuFZ\nMfcxcto3gADuxREaohNse1CHgdviNU6d8Hqt8sbyUMDBNY1Gw05OTsJ9NG2uRh7twtsfj8cBqLxo\nLQbKePE6LvPI3+F7Xkowe3hIBYOjRsho21sPVVmoXrMRQ+EQLz/hM29eK0ir3jNvMcfHkx9nebAG\nzOuSsfvlgTKDBK71lo1Y19QO8JiqTPT3asjRDirYASreXPKAwBtHlqEnV483Bbtut2vr9dqurq7C\nEqE6uZ6j4DkQzAePY2ycWFbe2HFhIQMyKqsZkNkeYI7j/hwYeMtFsXnhOZqIyGHPD0nPEiGzQBg0\nG42GnZ+fZ0rZOWpVZcTzNi8vL+3jx4+Zs6IZkLVqF2DMZ75C4XF/0C5vEH/zoCJiR+pLwU6LW9TT\nQ9UoABmgrOseMJK6xsTGgHnF90jxw6CxcqrxYSDge6myaroX/OFdJxEmC+oGcJoPrlcjAiPAa2tq\nrL1xio2dvlAUwocyeIDMgLDdboMjgYNesCatYKsAHHt5ToemQRVsFJBxD7PHgMxOg6fHKjd2iNI0\nDZkU7hMXRbHOxIysgowCrpInd05185GTXjSY5xRwEV+SJJk5EQNjvafnqGmfPB48+adpGiJTFHuy\nk+b9TskDCeVzF0GHeC35/fv3ru5480ltgeotHEuO4PPmsHdfBj5+uAlHyFw0quvIIIw5ANlbOonx\n5PH2VxshQxCcNkREqZPW7LEyIt2KqjwuTtJKVzaMuAf2PCJFiHY1ilKCcuFv8INBxSZ3by1EB1HT\nZgrODMjcD7PsQ95ZedQI6ForHm+mYMG8cVtcGRkzbPzChPO8erPs0764QE8NNPqCvjLQsFxjhlxl\nvovYsWKZqmFVYDCzUNyFscuLFvVeXlTH614emLOs2OixzHg8dIzyohlPbiwLgDA/mhBA78krZti8\niEXHVcdY78fnC0CXdrXt9Vl58ZxM5csD2LwI2XP4Pb4AMuzkKB/ePQA8XGi3jz3T9vlv3JO3lXl8\neOCpxVYK5uCNU87KM8Yi1i7LDG15/dfxBKkzpWDsjbH+r/NO+3dIepaiLignJjVSYGmahv1omKA6\niGzIUDDFRSG73pMkyUxiPk4P9415xZ4RM3tYp5vNZjYej0NxAAOyRgaxV7mcfZQclJTbxVoMr4Hj\nndsEWEDJ4CQg2sJYcP+85QGzh2dGs4LhOi2OMcumutk4cYoeDgecBTaKHO0zpWka0tx8bV40pr/X\n/xnAtttteLILrwsrgHJ2B/3COjiPsRe16T042sM1iHqhmxwh492LqjntDWBnBxIOBxstday86A/3\nRdt4GEG5XA6nlvHaN36jY+M5BmYWslq4Ru+DseEMUZqmIRuFM6wh/zwnyNMRbpNlyDyq3rBe4Bqt\nC9HlBf69B2JmD4cFYUkN48ggpfcqlUqPDsrQh6SwTPchtIeDRdgWxZw5nt+IVLG1U7cBoW94OAja\nQLDgycqzy5weRgZNU9UM0LiP6ikynPhe29cx47miDgQ7G4ekZzsYBIDLm8XVWHneBf8WFZH6211R\nCQipKQZnnkwc7THFJhIfRpK3BhF7cf/4pd5dmqZB4QCYMFgsa4Av1on16SleP9iYq9FR4j5xxGv2\n4ATw/VSpFeAZBGLj5m278Awtt6djxm3hbzbGLCdNoasnje+4ap6dMM94xvqqsuZJrvqtPHn94nHV\nzIVGf3mRF8sIxOu30EEFjZjeMF+s295c4/b1hbHCeHnORx4PygcDOctCjXNsLsR0VudyXj/V0eeX\nOqe4t8qSI8V9ojTmx9MfBjaWTawf+A1vPdII2cxC1o+3egFYGSvUTsXGVeXgRcaq6949do2xB9ae\nTJ+DDgrI8D5gTACo8GzMLOOlIA2m62BcLn93dxcGHN+xwfJS1jCgmMTb7Tbk+hHpwEvTNYA8QEWl\nNz9cPQ/0ND0DHpEhwEH9WFNmJccWG7MHxwLyQ7QxHA5tOp3aTz/9ZKvVKmySZ8+ZK6jhlPAEhCHQ\naICNBt7BMx/q4RkSOEDoC37LuqGAg7Hj1LCXIgUvSZKE9vMIv+EsArIbeNgHiHnjlDX4Q584wlH+\nPGBncINesu7g/vict54gguZ7aWSgBgjXsvy9yENlBHli3R+P1xuNRiGa46jbAyfwwVkV5iHWLssC\nju9isbC7u7vM0gf67hnEPGcF7cO28JzQ37Ae8OfQI85mgHcecw5AzB7XxmimjHdoKMjjb+4HHvrB\nh7bEov08JwH/Y6zMHhxO5pWvZd6xR7zT6YT1XY4YOZJFXc/JyYlVKhUbDofhICnlCfaFt7/iO94C\n6EXI6mSpE4MTxThjp+2zrNj+gdguHJqeJUJmIwajwtdouocnY5qmwSP21o9wHShmCJPkYWsPHABO\n5wKsd3liPNk4OuZrvd95pEYasvGiIfX8WH6QDRye0WgUJrWmwcyyBkENiPdiZeZJyWl3jciYbzWE\n3ljpZ54MvGgs5sXHJgfrDGTHJ3F5/PGE40wIDLqXqtU2VR81La7XYmw1Da4GWlOk7FR56WLPQOk8\nUiOE//mULfSd21X+dfwVDPMo5szkOTKx+zCpLntOp0ZESp6Nyps7eeDHMtG1ULPHSzgeL3ogxj7y\nBe+qOyob6F3edbDHcP75fHiPFwRkKIrEUcN5zrSnD56N0Zfyy7/hZQJkfTy5efOB+dKg4pB0UEDG\nGhGMFiJR7tBisQiP6zJ7vAVms9lkHhjOaza4PmbEeSLjfmYWPC3e/sRbotTD5BdH6nh+qjfhzHYb\nCvCG6Bw8rVarkPLhNVdOr45GoxAx3N3d2Xg8tqurq1BgttlsMifhwHNGNSIXVGCMODoGX9h/qpMP\n12LfNBsQ9eT1FJ08B0XHDlWQXDeg6Wtdz9F76jvGkfeLp6l/cpfHFxtwdqRikxaUFyErKLPe8rYc\nOI3sRJhZJvMBPWZDgUNf9o2QGaygd6jWx3zk7I23Vof/EWUjA6VbtljGPFYgdjjv7u6sVCpZs9m0\nJMkepqMG3XP4zB6KofJAzDOsui0TY4MxZEco1rbKBvxwxIZTrjBGCso8r3AoBh4BiWIsBSWPlxix\nbnPNBPOMd/DdbDbDoyixhYsLw3Btmj7UOdRqNfv6669tNBoFZ0+dc+YJmcjZbGaz2Syzu4H53uWE\nYvx/9atfWaPRsB9++MF++OEHV4d0rPB7s4caKdhJzQgcgp6lqEsjETao8Lj5fFwQDI93+Lde5/2v\nLy56KpVK4SxlpF1LpdKjU6BAPDkAxLzn2EvVet6a8gi5mFnmzFUYPKRo+FnK2+02VLyiyAXFZRy1\n85Ni8Ftd+/W8zpgjgz6ZPV7vUkDi36nn/5ToiOVj9jhdHQPO2H3xzpkRfMbAFwN2755sFJSnvOs1\nulZQ4rHQdWrNLHHbePfGKJbG84CDZQBQBzAmyUMBIKePY/NGQYfXKLktncfcR+xfhz3QfbsxefO7\nF63HHBT9rV4fszPeWHoyVflolMyOn44Ly5SdHC3ci8lknwgaMlcnRCPkUqn06Kxzdv5A3Ce89/v9\ncBaDl/VkfeAagtiBIvtEyeD5+PjYkiSx6+trd4x2yQg4ws4x26pD0LNFyPpio4+JxoBh9qAQOETE\n8xQ9MNbvvHXKJElCtSjWYZC2hmJjvyVvQZpMJnZ9fR0eiqGAxDwor/o/7gnDxnvieGJxhAyHBmew\n4kAS7MfmQ1G40pz7DaBP0zREuGpIWGZQfqz7cwSJKHM2m4Vx1G1ssdSVkue8gIfxeByO5EPEvsvw\nxOQP8OUTmvA/xjQ2mfGu/fEMAN+L+6JpcjYsOga4j754mYMNnEZFGnlx9idPTqoTLCPMa46e+Mxi\nlQl0IE3T8DAN6F1sjPh/dgbwQJDpdJox4OCBx0nvw7Zi3+hY7YvKmG0aZ5j2jZKV1J6os8+RKT8X\nGlGplyr2AF3fQZhrk8kkPG+ZHR7VeehWs9m0Xq9nrVYrBFda1MVjhT70+/2gE7x9kGWvzhRS3M1m\nM2Qom83mTnBmGZuZtVotS9M0nNvNNjwvfa6OLOaFtwb+c+nggIzJzJGAGhYYci5QMbNg8O/u7mw+\nn4eqvLwoCL/jv9kQMthMp9MwkdvtdkjBAsS4ehFe2Wg0ssFgEPZEs3HmiZPnJOBv7r/ZQ0qSK9HN\nsgeBQE5IR+PxYdgfygae1xfRZ/AI48XGA//zujJ7yXyaGoACm+uRMcC2NK625Ef1eeQBm47nZDKx\nm5sba7VadnJyEsbNA0eVvzcGCshIz0EHGUw0qopFZDr5NWvCuq/1C5rqV2D25gwXKrLRQtsA5DR9\nWIrhZYM8R4YNNuYw5gAiZDjRvPSj76pvML66ZYrb1DHj9WMAMTvTbDNUH7x5CCDZ1znRv1l2nrPk\ngbL2le/FfedoWR0zvh6AzGc6I0Xspax3jTHzgeczIxWrfWbeEcA0m03rdruZSD22PIX+VSoV6/f7\nwbEAILMN9UAZegDbB1vk8erJAX+3Wq3AP2zWLvL6w4Cch0ufQwcF5MViYWYPa8gg3ivMFW5m9ggc\n+AAQXcv0jG7MqHkvGGH1+jGZyuVyMNAwRnwSF/iNKb5OxtjLSz2ygeYIGYAMMNF1SHZ6QAwikDVX\nharSM18wqJgIzC9S5VhfVD4AFrxFCDLltSWzrAFXPWCCTrDn7kUisTFh3lR2vBaoxtEDZo2yWM4A\nQw8gOMLVFLynGzFg5pcaLbzDCeN0aMzp4XdPZ73ovlQqhfGMpVm5faRXcTCELknExhxt87N0OTXq\nteuBO67T9DC3paR6xe/eOOgcZFl6fcTcwaMTITOegzq25fL9wyBQ0axRaR4Y6xir43V5eWnv37+3\nu7u7qKOFv1GgxY8f3LU8xWOFNuEgaUADG8X2npcuxuNx+Aypc/xOwVh1EgGXzk/v+hj/aNvMMo7p\noeiggDydTs3swcNlISyXSyuVSgG0Wfng1cP44iHWeBqJ59Fq5BkDPJ4oqLau1Wo2mUxss9mECc5p\n41KpFAAQBVNQEm/gla9dQMzVogyafA0iOQAynt/J0bFnqEH4G7LFFh1OtXF7DNbgDU4LJsNkMrHB\nYBDATYHBzMLJbBhbPkyEI002cAxqPDnw2WKxyGyfyisUU93gaBh6hXQoAJpBl7dTsKHDMXkcDWiF\nLGTIa0ucaubo3HMueRy8ZR/cB0sq6jTwvThboSlNDyg8Q83FVUmShPmja7kaneB+pdJ9MdZ2u7V2\nux0qbL3+Mz+ask7TNPOQDzXEmrnyiDMGXACnWQ2VhwYEPDZwTtjhNXvIEngRppnZeDy26+trGwwG\nGQeK+dH3Wq1m/X7fut2udTqdkHXIK0jlfuh4Q87L5dK+++47+/3vfx/aU+LxxYMx2u12Jl3tzW2P\nkD3jo2x53PF7tpuYpzhMZ71e2+np6SOHMM82Yw4nSfIISD1djI0d7BGK8Lg+6hD0bM9D1oiPDQpO\nYjJ7AAy+joWs3p8aEf7bi5yYdELxmqsWQ2kfzOLl9hwZ8z1ivHm8alQSe6nz4d1LDTsDsLanPPLv\n8b9G5loXwH03y6Yt0/Rh3dqLqNjweFEPwEE9Z3YcYhGgN9685s7OCF4wChqxg39+6XobGyRdS/Oc\nRk9fYzoRy4agPY/Pz4mQ+TN12jgbovxrlIH+875tLi5UYoeAZYYx4+IeOFFaQc4RoMpHZcJtcLv6\nO9Uvr+95c9qTK2owEJzE2mMbiEIoLeaKOWXeWPP4oC4FNSm8jOYRO6Z5BWV5fOB7L8ukstLPYAeQ\n4UQRrNc3fYcM0F6n07Gzs7PgbHo8Kg/cN/Cj2yYPQc92MAgUHRMA+fbZbBYmmj5cAp2EEvLGcpAa\ntFiKT78DX7yGDa8/TdNM1IGo1dtznKf8aJPTT7HoHU4AK5Sm6jhC5siO1429vnMUDtlxBTz3Se+B\na/COMUOlOdpGhAw++MxyRCE8xt5+RciU21a5sgwY4D3i34J3LDvgkZmIkrlyk8FY05ociUJX+ekz\nXnQDvcH/vB4LUMPfmiECHzyOmjaGrnpOCV6bzeZRSpHHnN/xtxo/LuxC1ihJEpcH8KFp/GazGdKt\njUbjkeFVftiRREbIzEKqEn1BwSHS4mw8FSBwHdKtjUbj0Y6EGIgz6MA+cXGdV6nPTp7Z44Kh6XRq\nFxcXNhwOM3rPjhx4QlFjr9ezs7Mz63a71m63H60f7wPMuG+a3tfT/M///I/d3t7acDiMXq+8tdtt\nOzk5Cc8Hj4Eyv/PfHPHj4T/YuaJ2SZ3i5XIZeB2Px5amqbXb7Uc8xtqHrH79619bs9m0H3/80f7j\nP/4jU5S6qw9srxApH5Ke5WAQGBM2SGxUWJHYY+ZBeYrnt4+3mnf9vtGLmT9QMb5i/ysv2v+8V8wT\n137FfufxFOsrfsfReR5f7IykaZo5/YeBh2XJkbGXcow5NnyPWASooKb9YBBU79eLdDRC5hfkZZbV\n3Ty9iulo3suTQyyq4ige13l6p22rDGN6uWssML91D7BGLsoD88Kpc46Q4RAAwBnMmB+VETuLCpxK\nCnSqV/vaHAV8BAScrvUMP+THjx5kEHwKCCttNhu7u7uz4XAY0q/7EBwELvbMAzLvXaNjddBwnTpv\ncHZZF1T/vHfIAG03m03r9/t2e3vrymcfG4/fveiUtU52KC6q5DabTWZzNyYpV7ul6cOTcLyDJTwD\ntQu4zB4Pjnr3Xl/0954h5rUj7TuMRQwMcQ1oV6raM4QsB46aze6BAZMNoJjXb70nb73SbTu8fciL\nlMrlss3n8xDV1uv1UNluZpnIGYrN4KZy4r4p6KjRZCBGQRCqNBEd6wEPalg4UjF7OBABhhEv5hkg\nAV458+MVdMX0LabX3tIFy5z74a0hx9rE7/lzbhcAyEV64AGEtnW+1uv1TEFSmt4/Gx1teKSZoiRJ\nwiEuAAOMG2wHZylYJ3hsqtWqdTqd8KADRN+qVyCtFWBd5ACD+w9Zso5yoFIqlWw2m9nNzU1YH+dr\ndUxarZadn5/b8fFxZpuRRqYxEFFQg9yn06n96U9/ssvLyyCHPEIbzWbTjo+Prd1uP6pa17Zj8uDs\npz7sgR0fBer1eh12ylxfX9tyubRXr149aiMW3eK+7XbbkiSxi4uLMJ5ck+D1JU+2h6TDHjMipJ4N\nJjXn3vM8RB7sfaKIvEgqjz8dSM/z997xtxd1eKCpbcf65IEv/6/88/8M8vtENZ48+F4xpwD/63oy\niPc9Y52Gn/4E2cEI4XpP6WFodUy8SQhiPhWAFdQ0SsaYeoDHaUwt6gL/asS98dtHn/P02htHdiY0\n3bpvFKV6m+fwaj+88UAkhTR/rDI1pssMfFh+wPohF85BRzB2nK3h8ePnkHOUHTPACrSxOYq/4YTz\nspWO2Xr9cPiRJzvllwuoYqeveeDjyRjO4Wq1ChFyDFA9efAaspcejoGy9tOLkL1IWfnnvfH8kAq+\nt8cP2xZs29Ittbv64n22C2OeSgcFZDYIEBQ6zMeOsZDYELOXrWs3uD5mmPKARz01GCt+7TJY/Fud\nqOBN3z0Q5Wv4f+5HnjHm6z3i77xI2/udB2aYuFrhq39jLU4BG+PIETJ+l6YPz6iGMfD2GLNR5rHk\n7AmDIssPKS1ExyiiYWAGrwycCnaIimEE0Sbvt0aUBgOPPmrmB99pdOnpQQwMYw6QZ8x57606m9pP\nfA/eIWN1ynSctX3P2CJC7vV67vpzDIyRXUuS+4p/RJfYMQCDzJEa5O45cJVKxXq9Xqgj4MgVNojl\nyHrG+gWZJMlDdbXKn+8He4jrcSSpPqSGo3D83ev17Ouvvw5V6t4jEnn8djk7eCjNzc1NJt26b6QH\nQMb8jTkFylNMP73MjZIC9WZzf7wy5KlteEsXcJSgj7EdCE+Vx6HpWQDZ7DEoowgCxT+4FtewRx9L\ns+3yTncZGx00BX5uJ69vej/9HUddsWjGA9gYmOdFRbF7Qrax6myPf0/O3tqxgrQCNe8zhbODc18x\nvrgvA7KZPRoLNsrgWx0qdtwAVly8x4VcXGXN/WSjyW1xYaG2q0sumPToH0eDCsjcjo7bPg4nA5pn\nFFW/1enwxtzs4Wk/tVotOu552RZ1WNHHRqNhnU7HZrOZawA94nHk7ZDz+dzK5XJw8hExwzjr3FPH\noNvthsOHeNnFAw1v37IHyJq6VUAulR62N2ILHhcEcbtcV9PpdOz169fWaDRC+j8mu10yTdP7g5du\nb2/t7u7u0XJbHrEMOdOxC4xjPLLTtm/7HGjgwBh1KvL4wD24fkmXyXYFZs9NzwLIHhBCkeEhc8oJ\nAoEX6gFdXmTsgXTM8KgHz3wy72rseHJpJMe0TxQbozzjHPs/7z6e0xLrEz73nIS8SM2rAuZzuCFr\nGFFMoHq9btvtNpyeo2DHRk0P5GBAZMPAkSPvO9ZTzVQuGk3xOIJYXtw+R8jQc35wiU54JdUhT8dV\n19V503vtcji1ndjYe/zEsj4qI22z0WhYt9sNR2Gq4xNzSNhu8Glr2P5i9rDdkp06z8iWSqVwyhWO\nYYTDx84h71fVAip2VEulhxoS1m11HiGH0Whk8/ncBoNBZqcE8wiCbvOpXN4JafsQy3I0Gtl3330X\nHlbzVPKcFKZ9gFntz+eQZvy8gGkXD/1+3/7hH/7BRqORffr0KbOEEPsdyJt3h6BnWUNWIDZ78Hb5\ncYrsLcF480DlGQN+96I4NSpqLHSdD9fF+oPfYeLGlMqLcvU+MWXMM75PAWKNcFk+IBiZvLUoBWMv\nfY3iLt6WxYYuSZJwsAeKMlBEsdls7OjoKKMPOi7gkQ/k0GM6tf+bzSY8iAPbtfgwFS/K88A5T2+4\nchgGnHUySZJMetHTAW/8VO+9aN6LTvW+T80AcdsMPDGHjPXJkxM7rmYWtssgsslzUjwwZl1C+hrb\nqABWvHSg8oHj1Ol0bLvdhupiOG+wP2YWxo3TmhxscISsQQUDBOvTdru1P/3pT3ZxcWE3NzeZdDV+\nn6YP0Rse3NDtdq3b7WYKBGNj6MkRBJ6vr6/tt7/9bTj5bJ+UMROnmncBqmdT+LPPBTJ20LzASdvU\nttGP169f27/8y7/Y5eWl/eu//mum2nwXb88VRR8UkGEc2WDEgEfBlb1KvTYWKcRAi1/7GkNtk0mV\nKO8ealS9++W1qZHC51AswuH+sOHc5ZTkOUUxwMakQXvr9TqkKxuNho1GIyuVSjadTq1Wq4XH6wFI\ndNyY11gq1uzh8XheIRfzqZGevntRFsuOeeK9oGmahrVNb3sKUwyUPbnHXvwbNUiegXqKTur1efLS\nNiEP/I1CGl0D3TXveTnBy8zEnKuYTHgPObYR8Xn26gjq2MWCBE7/8vX8/XQ6DQ9x8LIMLJNWq2VH\nR0fWbreDvjOA7zNuLFs4ql6F/lPIs3+7wG/XvWLf5fHoZWp2gbLiATIQjUYjOtd/aTooIGOTNgTF\nRTwgNeBs0KDgIPZGNdrzJqQXCcaUPpZK3BeM94lwdylVjPIAdV9wjzkukDciTC68UieG75OXoua9\ngUgRI0pN0zQcCI9H6CFy7ff7VqvVrNVq2dnZWeAHa2XgBTxjqxGMKSIY1gNsc5rNZpkHcSCC32w2\n4ZAaNpoAU3zORVuqAyxDFH2pIcBk1+MNubbCGzeNkNXwx5ZlPL30irpYh/J0Ka9tNeoMvuykMKC1\n2207PT2129vbR1FnXvsAOkQv0K9yuRz0C/tRca3nhIInPCXo6OgoXIO1XBxahH7oYTZso5Ce1nO5\noYvsoGG+XF1d2adPn8L/IB43yO3Nmzf2zTff2NHRUdAv2FKdoyo33JO/w3xEbQPWs59KzOPPiXJ/\nLhjjMbqqh/tEyLh/rVazXq8Xsja7nIxfgg4KyEir8FowTw42DPt4/B4w5f3Wm4ixCHmXMdDf6v32\n8aI8o7mLmPfYZNvn9zGj60XHef2MjUkeYPD/7Jxwxex0OrV6vR5O3Ol2u5lrvXHLS8MqWOgyBvj3\n0r3aL25T5aE8ec4dn43OUVfsXrtoHz337u/puzeeMX68ean66fHgOa5I7ceKgTwjrO3mjbE6np4N\nAB/ghVPdWvHL4+rZjJjuc3vgh9e84Twof/gNdBxFcMgc8X2ZB+WJ5ch/I2PF69z8nqcH3tjGvjs0\nxcAZcvfa32Wb0Vc4zgzGMVBXJ+i5APuggNxqtcwsO4GggN4GelzrEXuiXpQcS12pUY0BkjfB8hRN\nDTC/e7/LM1betd77LtqlFCoLRHVI03H1MBsW5StvDdGLnDwwTJIkeOi4JyLndrttq9Uq84xX8MPr\nxTjLF/zDgGIrCfZ28nOm1XB6BtszbHmAB3lypKzGGxE9UrRetmifsXuK8wm+PIfLm3MxUPaA0ZNl\nTCaes4KUtT7DV0HEkwNn0/SkplKpFCLczSb7aEqPNxyf2Wq1QtSISJv3tWKtVLMM3P8kSTJjir5A\nL8E3nu+OQirPBuF30PV+v29v374NDoTK3JMb/vfkuVgs7O7uLjzD13Mwn0I/9/dmu+2c9ifmtMWc\nr133xTjtWlrS+z0XGJsdGJB13yUbXwhtl4GIeeH7GKVdhjbm/SgfMYoN1FMAOUax6GAX5Xms3nW6\nFovPODJlxVd54v1zXtAHFH6VSqWw/QKRMvhi0hSxRva4N7/2AS/1ep86ZipT8M3FReBTU2t55PHw\nufxpe0/5fYy3feaJFyEruHlG3ZvT3G7MGdw11iAuyuOUNEfI+zg0+uL5w5/hEBA8rQ2OBbfF7/gO\nB4J4a6Usq1iErHOYCy/5Hjq2+9qSX5q0v57N9/Td6yN/7mVB8hzE56aDAnKz2TSz7PoPH08Ige4C\nQ1ZoXtt7Kih7YLwLwDwAUiDfFwRjxEr1lCj3Kffm/9nAsNevB6LE+HkK6HpRKN45qsADC0ajka1W\nq/Dg9fl8bs1mMxwriHW/VqsVDkfAnmavup55ZoJBYv6eMg4xWat8eTJzZThP+n3H0wOXmM7n8fU5\nOhtzvmJ8cdseL9A9b++ntrnd3lc+s+xUx7R+ZFe62uze+OIZ6/V6PdQ0NBoNWywWoR4B1/IWPL0X\nOwcqW4wx9Hw0GoWDaXC9ygcy0l0EvDMlBr7argfWiJDxiNxdUWCMYtfsO4diOvtUOoRTELPpfykw\nNjswIGP/JTrET24yM9fTM4uvGXuf7bpmF+V5u/qZ99u8/59C+wy+5xzsc8/Yd4hU+AWKFRtpu7sc\nIr7G6wM7angM3Wazsdvb2xA140APTHIUc+FwBKSr2QjH1oa5bS6KOSQp+HHmYZ902D4U41vlHDO0\nn9NuXnvKlwdKCoYqi7x2Ecl5Dp+Ou34W63+SJJknhun2OV1D3uU8eI4o+oXlOuj4dDrN6J8CmAfM\nsfS79o158iJkMwvPE8C8ypP95wCz5wTktXFIit1vl9PBeps3RzyHl+fbIfvzLBEyFw/AyOvDDZ46\ncJ7R12teCj2Vp89xLJT2AWMvasrjORaZxSg2Rnn3RLTDe5iTJLHhcGiDwcDevXtnb9++tXa7bf1+\nPxQFAdifA2CfQirbvGzKIbx6M38sYoB4qDbR7j4UazNPNk9tP+YI5vHpzQN2ELTSfp8+MS8Khqzf\n+243+tyMxi6Cg8AnW2kfYlH4vnRIfn8uPZWXfcEYn/EYH5IOCsidTsfMLBRKmD2cooN9dJ8DVvtE\nr38p0oGMRfNPoefon4KxrsHm8eJFRXnXxCJk/Z6LdXBKzmQysc1mY4PBwD59+mSvX7+2b775JhR8\nJUkSzqT2nkV6aPCLkWcwdxn8z6VYJuIvQU9pXwE4Jgu+Ji/Dgfc8/dsnotR5oFvSYg5WHl8eP1qE\niuDEi7g83vi7n0tIffMassfDrs/+XyUe56fOsUPK6WnHtDyB9vHw/v804LvoLx3lvSTy0rDPETU8\nJ/218FnQ89Ff2nk6BP019yHPgX1KtieWnn/qvfZqL/1rlnhBBRVUUEEF/T9CzxYhF1RQQQUVVFBB\n+1MByAUVVFBBBRX0AqgA5IIKKqigggp6AVQAckEFFVRQQQW9ACoAuaCCCiqooIJeABWAXFBBBRVU\nUEEvgApALqigggoqqKAXQAUgF1RQQQUVVNALoAKQCyqooIIKKugFUAHIBRVUUEEFFfQCqADkggoq\nqKCCCnoBVAByQQUVVFBBBb0AKgC5oIIKKqiggl4AFYBcUEEFFVRQQS+ACkAuqKCCCiqooBdABSAX\nVFBBBRVU0AugApALKqigggoq6AVQAcgFFVRQQQUV9ALo/wP3EbyvultvMQAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 7.0\n",
            "    J = 8.9788e-01\n",
            "    grad_norm = 1.0700e-01\n",
            "    penalty = 0.623\n",
            "    mode power = 13120.206\n",
            "    dip power = 13664.062\n",
            "    coupling efficiency = 0.960\n",
            "Iteration = (32 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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hnWWgpP2sVqv26tUrK5VK9vPPP9vNzc2jXR678KC/Y8BnoM9zWnl8y+WynZ2d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\nAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 7.0\n",
            "    J = 9.0605e-01\n",
            "    grad_norm = 6.3559e-02\n",
            "    penalty = 0.617\n",
            "    mode power = 13590.802\n",
            "    dip power = 14043.976\n",
            "    coupling efficiency = 0.968\n",
            "Iteration = (33 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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YoWJ/Op0GkKX22LvfUzvlJ3HIRY5qV+pUr8PncvQCNMrznDBeOBbLNnA/RW+1Wi28Z9lt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\nOuSSSiqppJJKegb0/wCD+GTZxJ8llAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 7.0\n",
            "    J = 9.0947e-01\n",
            "    grad_norm = 4.8678e-02\n",
            "    penalty = 0.611\n",
            "    mode power = 17326.758\n",
            "    dip power = 17852.377\n",
            "    coupling efficiency = 0.971\n",
            "Iteration = (34 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ljbNuCsoeUGnbaJ+feMV2KM/5SJIkpIYrlYr98MMPofbC63seqb2EXUJf1Zbp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\nSCwW0aij4qWqYzrlOXyebeOX1jwosHs6xv1B39k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XmSdee5oFiTmdsXvq37H7580VliEX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\nSSWV9Azo/wFHTLltoPbETwAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 7.0\n",
            "    J = 9.0847e-01\n",
            "    grad_norm = 6.6275e-02\n",
            "    penalty = 0.605\n",
            "    mode power = 21434.099\n",
            "    dip power = 22119.561\n",
            "    coupling efficiency = 0.969\n",
            "Iteration = (35 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wS3Wax59BJS9/IFsAmxqbi17/Vf/wf2zOgR+MY6vVsl6vZwcHBwF8QY/7/b6ZPYDWcrmc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\nqKCCCiroFdD/Ay8KKqEhGwI/AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 7.0\n",
            "    J = 9.0785e-01\n",
            "    grad_norm = 6.6433e-02\n",
            "    penalty = 0.600\n",
            "    mode power = 22842.104\n",
            "    dip power = 23600.205\n",
            "    coupling efficiency = 0.968\n",
            "Iteration = (36 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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BxqLf79tqtbKbmxv7r//6L3v//n3gP1YprQZE2459qL0XjGgUqjqFczabTZB9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\nALmgggoqqKCCXgD9X+48OJV4mRG+AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 8.0\n",
            "    J = 9.0063e-01\n",
            "    grad_norm = 1.3711e-01\n",
            "    penalty = 0.539\n",
            "    mode power = 15743.467\n",
            "    dip power = 16494.039\n",
            "    coupling efficiency = 0.954\n",
            "Iteration = (37 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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FB8jMwh5JFNVxdIQ2sJ8TURUK+XBUKdLFniAgw7FerwMvoKAPY0zTNPNO3F2c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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 8.0\n",
            "    J = 9.1841e-01\n",
            "    grad_norm = 2.6427e-02\n",
            "    penalty = 0.534\n",
            "    mode power = 23328.318\n",
            "    dip power = 24005.031\n",
            "    coupling efficiency = 0.972\n",
            "Iteration = (38 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LP9RLQ7s4wuKKy5hx4kHPYBWLkDVK1eNgEDkK8ebGYlWwMQL/GOAcSXO7uR/M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\ngg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 8.0\n",
            "    J = 9.1356e-01\n",
            "    grad_norm = 1.2956e-01\n",
            "    penalty = 0.529\n",
            "    mode power = 29832.356\n",
            "    dip power = 30866.090\n",
            "    coupling efficiency = 0.967\n",
            "Iteration = (39 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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dOzw8DAv6kQKPZR9gBOFgVSqVUMyFiB3Rs7cUy3Pq4FVz2vzo6MhOTk4yhYVa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\nRK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 8.0\n",
            "    J = 9.1678e-01\n",
            "    grad_norm = 9.8895e-02\n",
            "    penalty = 0.525\n",
            "    mode power = 25597.249\n",
            "    dip power = 26408.865\n",
            "    coupling efficiency = 0.969\n",
            "Iteration = (40 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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5Pa8KVlNfnhFRo8tRExu6NE2D04ONIRCt8nQBrgFwQ1TV7XbDVobYTQfFGGrk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\nRK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 8.0\n",
            "    J = 9.2318e-01\n",
            "    grad_norm = 7.7721e-02\n",
            "    penalty = 0.521\n",
            "    mode power = 18071.358\n",
            "    dip power = 18530.287\n",
            "    coupling efficiency = 0.975\n",
            "Iteration = (41 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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j5pWqYOrE8/qL581nCThPZMzoMaNrFMNMh2iFX1wlqgwWY27+n8foOUSYs+Pj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\nAPwfrgXSFB1cOUEAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 9.0\n",
            "    J = 9.1634e-01\n",
            "    grad_norm = 1.8407e-01\n",
            "    penalty = 0.472\n",
            "    mode power = 11702.458\n",
            "    dip power = 12145.066\n",
            "    coupling efficiency = 0.964\n",
            "Iteration = (42 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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XPgOAvuooMC6ezCN6h9PLOt/DaR9DqOPm6+1Dd54f7XbbFovFk6zKLmN7SGNs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\nAfw/Dc27Zn39yxUAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 9.0\n",
            "    J = 9.2311e-01\n",
            "    grad_norm = 1.0598e-01\n",
            "    penalty = 0.468\n",
            "    mode power = 20545.367\n",
            "    dip power = 21181.959\n",
            "    coupling efficiency = 0.970\n",
            "Iteration = (43 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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v3WsXJ4F5BV+xVLM6rupkNptNWywWwUn3ZPJz0F4BmZfepGkaCrSwrygKt3q9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\nAAfZihQWXLGYAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 9.0\n",
            "    J = 9.2187e-01\n",
            "    grad_norm = 1.6990e-01\n",
            "    penalty = 0.465\n",
            "    mode power = 33026.187\n",
            "    dip power = 34105.926\n",
            "    coupling efficiency = 0.968\n",
            "Iteration = (44 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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zoO+xdnVOdvm9Nzd5fPdAMs+5V8BSoIql5WNtaX/4M7PHgjl1FFhWvBoAOBxw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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 9.0\n",
            "    J = 9.3207e-01\n",
            "    grad_norm = 9.4006e-02\n",
            "    penalty = 0.461\n",
            "    mode power = 31134.252\n",
            "    dip power = 31829.051\n",
            "    coupling efficiency = 0.978\n",
            "Iteration = (45 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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baodPKDwUhsDbM7N7AtCjqc45eETTJ7vwECtmzAkbIdvCwYqPegJs1Hjemxoh\n7CnjN3xHng6HaagizvM6PbyVN2MhXlWSnjLxhLnOiWdwaz/e/Hi4e3yg+OYZ9N78sFessoKf0ec9\nGcgGHBs4zCMaHeFnsc5QUMVnU3t9xv7We1XXxBSpGp1MOzh1HH73jLdfAvaqkHnrTalUCtsLGo2G\nDQYDa7Va9vz5c+v3+/bs2bOwsRwhQLO7fJbZnYe2Xq8zJ67AwkZ4CwqqUqnYZDIJ1je8aK6OhDKH\nl8bbr9gq5Ulj74SFEedfWAgBdIF7ljODKovYvWBi9KnChxdkXsgObXP/PE7gwO2xAZQkiR0dHVmn\n07Grq6vwnlUOQ5VKd4fXg77tdjtU1OOwfmyZAL68yPnEKj6JCgZBqVQKxX7Y3O95omrYIXqAAqCj\noyM7OTkJv7HAAK0gkGEEAG/k6a6uruz169f24cOHDC28OValrJ4Q6iG81+B5/Ib2GdigYSPCm/sY\nL/L9mE+u9GUFxvUM4FE2qBCtAs+maWqXl5chH4/coqeYlW/1dxj+vI2KvUimGxsFGDvkF35jxYvf\n+Y1I+r5gxYvnysuNe0YZt+HVtaihhDlhxVQulzOFkVrUBtnFOOzi9SVJktm5AbryDgeVl7zuqtWq\nvXjxwqrVqv3lL3+xer0eUlCay/Z40zOoNRrI+WMFlilsMJZKJev1emZm1ul0rN1uh+LZXxoexUNW\nS5UPEMBigWfsVcR5RPcuMBiUMYd7sOjN7r+9Jpar0TyLQszbiik7HlPe39oe/ubfgTsEJBcy7eIp\na/95ngYv0NgFekExIyzGnhBwwjxDOPBBDVhEbJmyYILggGcKhWBmmepU/Mbn8267OFyoe1IRqubw\nOdMEfJUkX+oXeFFDSXu0jvGQ/g/ta4HhLh4yA/M9K4U8YLwwZl2XnhfB0QAWsNyumQXPGJGV+Xwe\nFLE33tjYtG32jD3vOKYkvXC117enIPPmQvtURcU0ybs/NveeYYU286KAPMc6N3n05XWjdPVw1/8n\nSZLZR73NWcjDRfHyeJL792jFeEF/sEO2C2xbSw+FvSpkCEX2QJBvGAwG1m63bTAYhPwO74k1y8bm\nPWuIlRA+4bFVq9XgTUFJoNgHwhx98P5ChEp5XzQOJsH9uvA8BldBF7OU8xYTeyTwHpg2TBf+DfjE\nijcYHwjKbcI9Zo3yPIDuSZKEIwmxNQ0Lt1QqhQM+ut1uCAfzITClUil4uoozhDyHPtP0rkCsVCqF\ntxwhVMwhczUOWGij8AVbTdrtdub1eowPh+Ph6YHmSJO8ePHCut1ueNMSjg/UuWaa5hlQ8Phx6E25\nXA796lrxBA089NFoZJPJJJzgxCFsnXPlRV2XWNeo+sX/YSxxdITpjv/xPdgxcX5+bhcXF8H79MLC\nMeA5RXEoH3nJ69Ps7nWV+I3XBYx7FIpy8RYibTjvAHOiB6zoWvMMIRiVLGP0pC/k0pGrZhkGeup2\nRx6PFyXzojK7Kh5WWBzJ8eSbGh7ALUkSa7fbtl6v7+V7dwHPKWDve1t73jwBL33uIQbCPuFRQtZa\nqMCKjjfqw0rylI5OqDIThLQqCQ6rYkHiPrTPXpFeYDwoHOClihM4c7jFm0TPqo0pY08os1DUT946\npCFrz8uP4aG4KGybByhU4ACBi785NIxjCZXWeigEL2qzO2+R28fhJPCSIVS30ZWjN5y64AMqYNSp\nQaNGmJkFYwLKvN/vhy1aSmvFg+dY5947rIZDjfypvAFhw2/dgbDnPL2Okdee/h+4gmaeh+y1iedw\n4TcU9OAtT1xVvk0RK3+ioAknXqm3hDWqeU7mOd5Lz0qUlbIWdOncKsTWuoefeuBcNMb1ANwnj8sz\n7lkmxJSxzpWHf8wD9WSKJ1vAUxyF2hbF8HDk8eGT17TnIevYtsm92Dz+Ekp6rwoZFXdQjAhP8N46\neEjYXuJtxYgpp5g3EbOc2IvmEBrnjOEhI6HPp1iZ+VWSjAu8WT1RCZDHpJ4XoULOY1A1APCstz+U\nlQfTKM+y1Xngv/l39ZqZB9j4gfeMamYOUetLEpTu2laS3L1/FTllFGRgrvMUIBttCJkjjYJCQ1jc\nTCvQyFNgEOTw9k9PT83si8L58OGDK/A8xax8DM8J5xTDs2AjkEH5BQpkPB6HM45RCe8ZbTy/rFzZ\ncMBa4dqPGO+ABp5QXS6Xdnl5abPZzM7Pz0OVPPOkp2TUoAJf4AUqqP7nVBgbC6gtAQ04LYBxg0ZQ\nvtPp1FarlV1fX4coA59SF5NXur70XrPsKxRhPCGEP5vNrNFoBJy9PDTa4HnwaJUnU5U3PUDbeSH7\nmKxjvDWt8FAlF+PXmBPyUOADVLAti3n4sWHvIWtYf1DIEHQIXUMRwxuJWTQxBsr7v6eQmVHxfz4A\nAgqZT/WJWYG6sPDJi5vDq55SUWbVsWjEQK/YouKQNStkgKeQGa9toAvYUyhmd2dRQ9CVy+WMIcbR\nCM5Ba8hoF4UMwwp8hr3NnifpRVL0eRQggpYMXLjD8w6FjNB8uVwO7wa+vr7OhPe8+Y7xL5QDFPLN\nzY2VSiXr9/tRzwLzrN7xdDoNp4rhWED2EJlOaEt5y+xuuyCHhQFaLKXA+GFMP/zwQzhveTqdZjzo\nGN/zOuMIDN5+hrQIe0ve2uUQ9TaFPBwOg1GD7X3MDzE5tUvOXj1wbE+CUsb5CsAVl8ofVdaqpDQd\npHOeB2ooxfL83t/8u5llFPJDFajKHv6usvOnAitk1CLpyY+PCY+SQ+YcnR4Np3kIgAosVXz6PaZQ\nVJBAWbJXwAVgsKa35V7zmN4LWW/zQPOUsgolbU/7As4xZczP82KO9eGBh7feiz6BA/MB0zy2Bzxm\nKMRoBaGMeUSelXOb7N0xXowPh6thJGpRFvplmil/cT6ZjVFWcAqs8GLhRQ1do0/1bpRPkYdERTDO\ng0e9hWfkKq4YW5Lcf6mEtxfZwwffIcxRPY595KiQ57nDM55hAKMM+AwGg6CQ+c1WnkGKNjkFwhEu\n4IET4XBCHBs0fE6C8hP42jNM2BhkmsFDTpIkKF/2kmFEcf0AxhHzTj0Dz3Ns8oDnjz15roLXFJE3\ndx5+3vqOtcPgKeJdxqU6hQ319XptV1dXIQLCp+Tpvnr+1O/7gL0qZLyaD0zJnjGOgYN3rAsPEPPA\nYjlRfHoeiC5I4MUV38hpapWvZ+mqdcgCFBYs46ZFI+y9KK48zhizqoJnQY5wopeb4T69haLtxyBP\ncTODYywQVKio5y0YHKr2+lGvUueXDat6vR6KRVjZsKGkoWpWmnrxPIDWLIRxcUoECsvsS5W12ZcD\nOXAyEZ/gxfPO/MaGFfPver3OvGBFvT/+5Dwkwp/s3c3nc6tWq0Fh4Dn1lFXYI+KF/eOoks8z/IB7\nmt6FOhFCH41G9u7dOxsOh0F5Yj5VyIImwIMVYbvdDu/jxelqnrHPRZ0ev0IJViqVwEdp+uUgntFo\nZOPxOHiw4AXMPRsqOC1Q9+KbWebgD/QPowBb23CYEVf7I5yP0DXopTlllk0sl3bxRr31pvKDeQpR\nAo4uxJwOxTNPpm2TQcB1F2WsvKxjBI0Wi4W9f/8+vMcZxqu+k5vb1O/7gkct6tJCKy9U4RHfC00o\n7OJJcXua74TiUny2ebqsVGNMHnvGY1bGkb1jb5zcL7fFY+NLF0kew+fhtiu9lVkVn1jVZ6yfvEv7\nYY9XrVrGJY8n2XtRY469YU9haD+oIB8MBjabzezz58/3jCF93lPOmEPO3Xnz4SlkFB9xIZLHj57l\nr39ziN87/crzephnuVIZhgGqiFkWeN6IeuxJkgSDive0c+U32tMiLjWaee7gHcN4T9PU6vV68FLh\nIXKomo1CpAhQYMhV1DAmYvUdMJD4dbCgEwwF7BrhAi9WhqCPV+DpORoMMdmp6475ivnRe04VIctD\nLlSLyTvmAw/Y6FBl692r8422l8ulnZ2d2adPn2w8Ht/zjNnxYZyevEKGhwzGQ16OC2Z0O4KCCggm\nHE8We62xYgcWrLwg8Hq/2Dmvig8LFLO787Sx+BlP4MBvBsIE41AETyAyc0Hw65jN7J5BYHbfQ+Yx\n4VkwmBeq5LHi01PQSveYcuexeJXM+Fv71oXJi9czbtAXagFwZGC5XA5Vu+wBAQfwIZ/KxQfEsGEE\noYe+QHe9cC/62Ww29uLFCyuVSnZ+fm7//u//nvGSdc6Bo/4NBcEhZy+65Ck/KJLJZBLeYc3C1OMD\nFjqMY7VaDYf349hEphPmRXkcvA/PajqdhneYo8gM60ZpapatGyiVSiHa0u12w6v9nj9/HhQV9wnl\nwQoA+HmnbWlOGPUQvCMEfAua8Bn82D2SJEkYGytwTZkkSRIUGsLA+J4kScD14ODAFouFHR8fm1nW\n8VHngY8R5nUXSxN6a1iVKPMVIi4objOzzDsIlCe5HfAB+JhD39tkiq4b8B4MMfS/7VnMHRu9o9HI\n/uVf/sXevHljP/74o43H4/AiDsw565I8w+bnwqOcZa2WYCx0kkc8M3/gqiiUaVRYq1WkuMQ8HsZP\nrbsY4ygeutg9Jadj3TbRGqryPNGYl89K3ANPAcdonfecjkn5IM+z8vqKXdwPF2qxItZ5V0NB0xRM\nUzZgPMsafet3PF+rfXnx/GQyCcLTMzaZRh7NlPfUG9A1wN6L947vGC1jHjvoyoaLKgPPQ2G82TiF\nceEJYs+ghkJGugmvAMSL5vECEPVsMJdMI8ZHK4ahAPE80lgw3DgcDsOZX5gCRYmQN+cjeVzKC2ww\ns1KGdzydTkM4vFarhdwtK4ld1tyuHnJM5gJPdjY4ZM3tsDJW+u9yuArPneLlyTzuQyE2ZuAwnU7t\n6uoqvC2Q8WKaxmTAPuFRtj3BGuNqan0Nmk6WJ+i8gauy49wGXtfIhIRFyosaC2ubIkN/sGKxYBFm\nQ9uMC2/s5w3+vOBVSfOY1TMG4G8Nn5plDwbRcCIvJKb5NmGKPr1IRCwyofOI75pn40gAaIt2OOcI\n74I/IbSYfvAIGo2G9Xo9q9VqIcQIYYT/IzrCPAk63t7e2ng8Di9DYYWgR2CCPjElAoXM57V7XikL\nTM6l8ic8KRZiTDfGhZUfvDSEPiHsQV/wB8+Vhu9RA9BoNOz09DS8d7bVamXmzNvDy3t34VmNRiP7\n/PlzZq3m0ZGPW63X63Z6emqHh4d2fHxsr169yvASxoiDOyBceQ3AK8NLO5ArxMtagLuZhYLPfr8f\n3rXb7/czxaAobgMvQZFOJhN7//69TadTe/v2rU2nUxuNRqEPnQvwMZQtKtEhO0ajkR0dHYWDXdI0\ne1qftgWcWq1WoH21WnVTBDFlqIqYPeThcGg3Nze2Xq+jhYvcLngB0Ro+YEWVM6cVFMAXvG0WfMcG\nWWxsDNfX1/bjjz/a27dv7cOHD3Z5eRkOpolFXB9bKf9iOeSYRcOfZr41E/NYPctNcxrsHcUqe9Uz\nBjBjsnfCDKResAokzZcw/t7Y83Dh7/y3Z1iw5QzcNPyKzxjTxrypvMsDL0qCUCznRNWLyVP+/J2N\no3q9HoSVeglaXc05YxbY7P2BZhpx2DaPaiQx3+t8ex4NK0cIHIwbPOjRnxUylCG+e3grMC7sGaOY\nC3vJkasHP7FxxH2wYoZxiqIgNUgZLzYQ2DPudrvhla0I4bIgLpVKGQMO9FM5AVy4khnn4MNwQkU6\nh32xtQ7Fge12OxPOh2yYTCahIOz29taGw2EmpK58zAYzG1vlctmGw6FVq1WbTCZWqVSCpxxbr2Z3\n24v4zAVOY23jX08pg6Y8j/pSlzxgh4VTJ7EICePJ64/XM0e2eE1sgzRNwx547IPHefQeTRgeUynv\nVSEjv8Lhw5hyNssK4VhYwFPezMieAuQ2zbKn8QC2ERX9sbWGhY59aRgPclW8xYQPoEc+wvNmdNJj\nYRoWVCr8Yt4+98WhJfVgPSPgoQpSFwLjy4UveI9ybE7VuwJt0/S+Z8wLEMoPVfMI8YHfUATEJwVB\nUbKwwUlWKgQURzXIPKECnOApm1ngBaY5rxd4hewhwwvi9rlAS+cZChhRGgg/T2Eyn6FPKECcsNfr\n9cIrU5FDhrfFtREwFBgn4IHQK3tGSmPle+BRr9ft5OTEut2u/fVf/3XAo9PpWJqmwRM2u9s7inll\n3NI0DcoE25jgsUE5s+G9Wq0yZxZAvtXrdXv+/HkIl7PCBm/A4Ox2u7Zer208Hlu9Xg8vYRkOh5lt\nbOwlm1mo6MY9i8UiHDuMtAwiL5g75lGcF42qehxwUi6X7fLyMhOez1Oo+D889dlsZtVq1YbDoV1c\nXNh6vbajoyNL07uTEWOwWCzs5ubGrq6ubDKZRD3kGF+Uy+XMOxDYyYJcBs978gUwHA5tNBrZjz/+\naP/xH/9hFxcXoZjL84x1vXppzn3B3j1ktbBj+dqYl2OWH0LdRVGooNG2dyEitwEBs1qtQq4KCxaT\nyEKQLxaGnjfgeQX8N4+DrV8eZ0wZM51jipgvT2DvcnkLmo0sttZR8MTKhPuDQNOLhZan/NCPFrWw\np8fpE/UY0K+eha24xfjOM0rYkm80GveiOLpWgK8qZPVqwIvaN35n71g95Nj8enOFM8dxAhaUEI8P\noVceE/fBeWOEzlFcFlvjTDsYUv1+3w4PD+3ly5f2q1/9KvShUatyuZxJbUCpMT4cVoZyRFhd6YHQ\nMbbWmX1R+oeHh2FLJ1dTs0IulUrBWOBT0qDYMFZ1JjCPkDG43r9/b5PJxE5PT4PhAeOD172ZBeMT\nB41MJhO7vr4Ob1difJVvvfnAuoCzgfbgsWtkzjNmcUzqcDgMUQm068kDldPgB96iyqk5NkZjMj5N\nU5tMJnZ2dmbv3r2z169fZ/YfKz1Ul+BzW07+p8Kjvu0pzyPVUK8qBFZAyjj8HHujWOSag3ioNaOC\nyyz79hpMOKwzzpMBl8lkErzjWFU246f46ne28rEIMc5YLpwZCyExVcpq7Xk0z/OQdV50jtP0rlIR\nSpH3cTLNuS9WXlwZy/OrBhgUSq1WC54E+ELDd3xwBPfH24N4DIyXXh4teM7q9bodHx9bs9kMfOJ5\nyLEcshq1sXWRZ9BAYXqhc/6dDQicyDUYDELeGCei6RrhkLEKfFaC/N5jj/fxG3DB+dR4NSaO7MR4\nEUKGEYZPeExc5GdmmdPLUOk9m81CuoJpwVETVD4jbA8ewjg9emLrFF7l2e/3Ay04hI1xePwDPiyV\nSnZxcWGLxcLOzs4sTVM7PDy0zWaTqctRhYi6HlSidzodGw6HQSmyzFTDnHHBmsM6QSEUitcAGhbn\n9TWfz0Px1GQyueewsExgPBBl4nPv9SAWDofjIBWNFKJW4NOnT/bmzRv79OmTDYdDm0wm0XA3jDgO\nkXPdx/81CnmbElRBD+HHbXjCRgUkFhYmVz2UPGUVw0v/rwJW84qwxGE5zufzwPAQhlzQ5AlETwkr\n7ZgOSm/PQza7/xo8VcQQovw/nh9WOHlKCAzN/WiBCS5Yyzou7pO3i7HQUM9O6QHv8uTkxHq9nl1c\nXNjNzU3w+HBpfhYCGQoURU9qIOjl0Ug992azaV9//XU4JhL9eNEDGBSshCF0eBuUtx4gPBhX3ebE\nOXPFkyMJKN4aDAb27NmzzH5fhC95jUPho8AK88oeMoesN5tN5o1auhYwlzgO8+XLl/by5Us7OjoK\nRgHPEVJHMJCxLtkgTpIk4DIej+3m5ia82ALKF+kNeKdmFtZ2kiShwEvf1qT48zx2u11rNBohBwzF\nxIYlR4JAN10DMAhQ3IU5QJEZlBfPM1IMvV7PvvnmG3v79q1NJhM7Pz+3d+/ehbHrGNhJYnkA+o1G\nI/v06ZMlyZdtQ7r+2HDEPIzHY/v06ZN9+vTJbm5uMu++Vl5k4wIGom5P5CJhDlnP53M3x3xzc2Pj\n8djevHljf/nLX+zs7CwUcqmTwBEYHPYC+c2GsifLfw7sVSGzNcXCTAU1hxhYIedZZyqANSSsBV0x\nQ0CZTPFXHBg4PGZ2d1A9vJ7pdGrD4TB858IV9oR4EmMTmmd5qdccu3CPZ1zovkSNCGC8XlTC84xZ\nMbIHr54w4+Hhpt6op3T0YrxZmGOcXEjmGS1qCEBg41kzu6d0t0ULlOd57nWeNMWjC15rMNCmzrHS\nQumkERHlKTUQOGSNynTNk3pFmxpxYQNB0wHKl0ozFHPx6WBepMejI1+4H8oNwpvzuLG1w/RjnmB+\n9dYP2oKnjJftIA/KIXI2bJXnYSgg/Dwajaxer9tgMLDFYhH43KM/G9uIOJycnJiZWa/XCyF5LjSL\nOQJm2dQOCuKQp8bLRmCUsUJGdASV9vzua09HmFl0LtU7xhjZkIfcYQcK4XJcOKvAM6L5Uw0FXs/g\nhX3BXhUyvB5eGLzfD5YsJow37ZvdEQ+WL0C9suVyaTc3NxmPFJakLky0q0JIlQj3p0pbPWQsQFh+\nEODj8dh++OGHzMk+wAVWIB+dlxdFiC2KmALyPGQscH4exTQobIJxxIuX6a6eMVdG5ikp9MUHNvBY\n+DceG/rhs2Tztsd4dIPgqdfroUKVz9CG8FIhyIp5uVxavV63o6Mjq1QqmS1sEORcP+AZEjxHsWNN\n2SuF585bw/gTbeA3jX7EDCfgpApFlRr6wLnQg8HAnj9/br/+9a+DR4L7NSKCNI4WxPEa0WIuVtrM\n02Z37wzGFqcXL16Eg1aY52H8gZZmd2fqMx/BWwIeWK9IK7HnA7w44mFm4fQ1nMTFYfeYkcOeMtIo\n19fX1u12M5Ef5ntOL3HFODz8d+/e2Xg8zmzjw9yCduif6WP2RQn//ve/t/Pzc3v//r19/PjR3r9/\nnykyY+DoJfBBLvjz589WrVbt4uIic2Qo+BxrdT6f2/X1tV1cXNi7d+/s48ePdnNzE/L7Hh3BS7w9\nkQszcQgL/gd9Ap2AdcQ6Bd75Dz/8YG/evMnojphRoPOJNQKj4EkrZBX+GuL0BAbnt3ji2Wv2nlEP\nGe2ogAJ4BPY8Rw9YYLDHizHOZrNw3i2qNzFmrgZUK8zzULcBCzsVAnlK3BPSMSWvz2/zULf1A9wg\nWNRIUyXrtZOHpwfwirCIvTOStS1WXPA8IAi3ecVq6XueacyL9FIr6tHzb3nerjc2z8KPecjcDwSi\nGm/8qWPyjEJWOhoKjeFq9kWx4JQ/hCq9ud9GS/AC5pH5j/lK6ekZgN64tkW5QC/kQjncGluXeJ77\n4VoV7LXnmgceT0y2wVhFGHs+n9vnz59tOp3mRrS4Lcg9fXkJGz6MB7xpeMnYL+55xzyfOo9sUPPB\nPpyG4ZoTrJ80TcP+dD7Tnb10b46VT701AiNoX7DX1pDcB2MzYRaLhVUqlZA/QrhDrVBYlTwRmGwU\nSyE0DAIjpwUPnJP/KvwAzOjA2QNWRBpiwWK4urqyd+/e2Xw+D1sKgDusWHzXPbAYcwwUTyg2Nlhi\nHjKeweJhxmMcmaEZWIjGipk8RQWlhn2cmFPk+zGXOvc8XvYWvCp1Bp5bDSvhIAnklnAPPGSME0qO\nC5BQ2ITwIm8lAl4QlDwWNTTQNoQhLHIIcy54g0fFHhsuzn8jdMsClA1ZpScUqK4JBawbbCvqdDrh\nJCyeX74XhieUDkeGsE444qHzxPzGc9FoNOzrr7+2Z8+ehW1jOiYGrGHgoi98gCxBzQlwUcHOShfj\n1dAme7GgrTcmNpzw4pJut2tHR0eh0hp8pZFCpQ14EAdyXF9f23A4tFKpFLZfaXEdGwzADcVdv/vd\n7+zrr78OCgr0YY+cI2gsE1AYNxqN7OLiwpbLZTgsBh4k6Hdzc2Pv3r2zi4sLu7y8tOvr60xUk2Ub\nF21hXrD97uDgIBwQg/3ffFwp44XoLOi4XC7tw4cP9v3339unT59C2NxLdWLcKhvYQ2ZDdZ+wV4WM\n0ANbyxziw6WhbPasze5y0FggXKii24ogIFnZaOGKQsyzM7tvFbHlDmZHf6ioHg6H4dg1FEnwImfh\nrwo0z2NjnPC3ejkqBPReCDkoDdyj3qsnoNVTVY95m5fMiw38wcUqKth0bjzPnMHz8gCgLYpdELnw\n6M2LjtsC/wJ3TZ149PAiD0xjhLow/m2enf4ND5lD1uAvjw+Ul1TQK/3QHgSh7tf2vNEY/lhL6v15\n/auHjDZRlMSeSIwXPNyYhphH9s6YJrF1tI3nGe8YXc2y6QkIc11jXtQMn5Cv3nnQXiSJ6YW5YKXS\n7/cDjWu1WmZd8tj5WcYVRjOfdsYngeE+dqSAt0ZNde3ynGhlNV+cgmFZp0YSwuw4LY0jCzG5EuMJ\nzWfvE/baGjwQ9pCRD768vAxFCY1GI4QM2LNQBQHFikpIVOmhSlGPy0zTNGx5wOSZWegnVpBhli1E\n8wT2ZnN3NBssbA5Te+fWsrdkZplJROUgBB335Sklz4MFqMBGW6xE9EhRWNv8DmAWQmZ2T/l4HnFM\nGWMRYDGicplz0TrnmAde+LiX8eJx5ylls7tiF513NkpYOPMYkG8sl8vBImeB7nnGqoBUETWbTdts\nNjYej92ah7yLc8jIM4M+WG/AQ9M3oJdX2OYpnXq9Hk6f8oxHFlbAD2sMax68HSve4TWmgh5GOjwj\n8KNnJPLcs0HBAhx8wDJjvb4rTPPGqBEUraPgvrxxqSCH8G6323Z4eGgXFxeZiIMaFDHDBYqTD8Lw\njERukw0hzBn2VT9//tzm87l9+PDBptNp1NDgNc4FVCjqms1mmYgJ6ITjUq+urjKeMc8je+MA8DwX\n9nU6nZA3R+Uzb2GEl4y1gTEvFgu7vr62y8vLTFEZj5XnXnWBesg4YAjbyvYFey/qUoZGCGMymViS\nfCnbT9P0HiN5CwwKGWen4nSY29vbUCGnZ/TCMjK723urgi/Ps1NQjw+5CGxtQuhcKzY15GF2/9xi\nhChVyCgt8MnhJ/zueQW4F4oYygPAixS44Hdv3Hn0inkKLMAQAuaxeUaYPh/jC9zPC9kDFph6jxoQ\nKsyAO95G9Pz58xCS88L0eXPI9IGHxPh4c6gKmkN4ZndhWQ4NQil6XhbTw6OXziWHAz1lzO3t6iGr\n8PNw4PuSJAkGI9Yx48r8wnTkUK1Gqri6mtdlXrSK8do2v4yLjhVzitdG4tQ6VQjbcIEc2laL4dGX\n5w3Fab1ezw4PD+3q6uoefflZNeB4fbOBYGZB5nDuFukqz6jXMfK8cO6dty5yYRXLPYSquT04BqPR\nKNT4aLrMmzedB/bYsZb3CY9SZY1BgHEqlUoI6fKJRcrcLKSZUBcXF3ZxcREmFooYzKDFDCAqKjoh\nVLyJV8GsgpIXIR+7B4+dDwBhvFkZwNLDqyhh5SEfCFy8vCRw8DweVkgshDm/q16cClXN4QB2UcZM\nS/3OEQ54mmxYQLhq3yyQeF64fTYm0AY/4wl7bBPhPj1PFvSAsENx12g0Cp4fFJ/yq0cvFTxsIKiA\nY9rxvLIgYoVsZpkcFowUVkCe18WXZ3DqaWXgvTyh7xkVmH/vXgb0r3KDPUEIWR5nHi6eUQNFjfF4\n3rHipbzOawsyhXHnZz1jyMyChwfvCnyBT54nlWlKa4XYWtV7WbH0ej2bzWb24cOHzFi99j1QPmae\n57BwzFhQeaw042pr1ORgLfC+Z7Sh/bFToB56zJhSz5iv/+sUstn9CsOLiwubTqfWarUylgkLMz2z\nGJOJ0nwuTtJPZgZ8guERmtLFxcIeQt3zQrEQUU2Is1CRF4Fl6Fm6mDwuTOj1epnwI2iFdnicED5M\nUwB7Jyz8vEMrdG5YIWtRHcYd806ZNkwjbV8LaYBvzLNIkiTQhPtQHNA+z9U2IwFvLFoulzYej10l\nzCF1zAMMCZz6hXd8q/DxFLPnTalCZqGr48O9eGsP3jAEOuFT5wQKjYW7570qjRFRYd7DOsTa8Iyy\nmDLm3N4uAhl8zsqY60R4LN5a9gxCVcgc4vcMF25P8WYe4XkFL6oCVgCvYlsZH0PKwl4VQow/8u7x\naOx5ejjVbrPZhNTALnPFePD/dF2xfMnDj/vFfeAldmYQtWk0GlGDig1IM8vkuafTaTR3jDGhb8gX\nNv7NLCPTn7RC1rAof5/NZpYkSSjZx+88iSAUwqzT6TSEp2HVaO5BBWCS3L0qD0oIAgXMHqtuVksU\nv6FteHrwjrV0nttUoaqhRzAZ55/AWKAjj8vsbluZR2MYJ3ielQzTiJUZ58TywmTbgBWLemPslbCQ\nj1mnKmx5DjxgQaP3qLWPvtVC1ogCf+I+hOK0kCOmGDwDkYUAQnHb6IF7OSwHHk7Tu+IuGJ3sxXue\nlP6mhgXGDl5vNpvhJR0enjFDwgtda5GfPs//wzMoYEKkTQ0wj2bq0XghaeZRvjy+Yx7zoipsJKBt\nxQftYW6QruI5ZryUPphzNnh0npWuHv7efHEaZZuiUvppbYPSGnzunZDn8aYHbDzpdieMf1uEQyOG\nGnWLzZsaMkw3jH+fsFeFjPAegEO9ODLu6OjIzO7OPGXrE4oYCxBnjaKamQWcejUaJsEChhXDz2ko\nLSZg8Ddwu7m5sdFoZOfn53Z9fe0aA/Bc2DvmwhIoYljJKILRkCGO3YRVD8UPY8PM7ilubFlQ+jOe\nvPB5zHpyF54HqOBSIaaeCxYi4+95hLowYJVyiDLmkXF/akzx3/zcev3loH/QFgac5uXwUgCmKfK1\nLCB2UcLcNv6HClsoVPWkVRBj3yrGzR4yW/Vmd1EP9SBUWLJBDF5CzhyFOKVSyQ4PD4MQBA1ZqOmc\nsBGKv7GuPeGpBg0bbsj78dGQLATzDBnQjrfRAE8W5IwPjFWeP+6LeQTjwjMxpQfgkLWZhTFhXExH\n7pP5j2Uab6HkvnY1pDFPzWYzyEvejaFjYL7hinF4rrydkx2NRqMR3nrFOV+mn6eM8Twrfd7HzXOn\nhgnzFPgVxp2OjWWFN18qN1W+7xMe5WAQs2wYDEIPyobL0nGv56kgzKBMErNimXlZeSHchcWMhQaB\nroLc7H4YaLPZZF4eAY+J8eB2VGnpveox8SRDYJdKpVAoxzlgtdb1JCtVfEwX9MWChIULW+dKj7zL\nmxtPAXtzxviBDjrfntDV3z1BpP9n4wYCWo06DrWB7lzBDNw8WqlyiV0YK+bR+39sTEynbde2+eJ+\nGA+sP66P4L3PijPjBdrw5Y1H15rSEbzNBZOx8HKMRmooaL/blIEae57hpGsvhgsAglxD5npfDFc9\ncc7zDpWWeaCRDG8+uX3QU7ciecYfxsrFWN7bmniMatSqjOToWx5/6zpTeaR85yllT77tavD8FHgU\nDxlEhAJGMt7sy+EhWjGKRQ7Fi20JsI5ji4ZBhftmswlHqJVKpWCVlkqlYCltNpvo6T+8IGFdXVxc\n2NXVVXhdFy8mNS48BoEyQAgeHg68Z/YAarVaEEDwFmEEQFHMZjObTqf28eNHW6/X4XAAbo+Zky1J\nHiPu86oO8X8OGeFebgPAe8KxeNQg8AQZFB4iIbzgPKXtGR06b16/s9nMhsOhrdfrzNYh4ABDDkqI\n6xqSJMl4J+qp6fhYuXNxElf4QsnjdxivmGeOInHb6Jtz7uwhg7c9Qal8Djx5HNPp1C4vLy1JvrxQ\nAXlsHrNX3Qte0cpY8A3PH0A9MjbI8WKQdrsdDDU9z1rb8YxcPaxCBTq3gfFoKgp8oNXNbODiXv4E\noC/MCbbyeHnWmBwplUqhMBTHeGoKhZ9X0DUPxQo5iEiWyjY1bGq1WnjxR7fbDVXjiOSwB7zZbOz4\n+NjK5bIdHx9bkiQhHcm0MbOwHs0snPylRjCH7BVHj+4arYReYrmtePCz/An+yctD/xx4lBwyIw3v\nVAUTA1vd7JmwVRzL+zKoUIbgA5PpYSQaclSLiceC8CWq9DhfzqHTPNzY6oeCheJSwYC/gaMqfS7A\nQWEZvH8ejzKqZ4V6Ck+BF2PefUx/z1plmvJ3tYi5KEjnVhVxzDtR4cR0w/yz0FDPmHHCeNiTVgtc\n+9S+PZp7hmQeL3neAhs/nrDSyxP6noEE7xihZrypK2YM8Zx7uOSNx+MPGMJ8OhorQa9NpRvjo8ap\nRxOvDYY871h5VIHXg4bSPQMSz/B3pCt4b7XnxeXRxAOWCZ5yU3ppGNkz/NgAgVN2cHBg0+nUzTkz\nHswDsfXm8Ta3ofcBD9YJHp1j84b+Y9GhfcBeFfJsNjOzO8sZ1W3wDCuVio3HY0vTNFh3YDIQfbVa\nhUPf+WUVKpy9icD/IHhZ2GiOFBXYeFUXW2jMFLPZzD5//mzX19d2fX1to9Eocyi8Tqq3OIEPimP4\ndZFc4METr+F/CEccRDIej8NhKwjBYguWvjuUBSRbrxgvh4yw4FWYs4Bl+ivdwfh6ig7u4XvNsoVr\nEMCc/9QCLDwTM55UwONezs+DvpPJJPMclDJbwOgbNFIBoYKADRZW9Ooh87jZAIXhiHYxf4ybejcs\ngLhNreSPCSzmZa5hGI1GVqvV7OrqKuQ7WRHovDI/4RhHCGF4tTpfaiCAblgvw+HQKpWKDQaDTA4f\nvOgZfWogwKODN8nRI8aJBe1ms7ln2ECm8TYspORi6x44MC74xIEXkHOeYcptwMPDazGxdYrPade1\noLRQ3Hj+OX0Vqz2AIm6323ZycmKHh4fhPdneG5jQb6/Xs0qlYt9++631+327urqy8Xh8Lw/LNAJd\nUER7cHAQ1orKJjbQlKcgY7/99lur1+v23Xff2evXr8O9ecYTp/GwLvkY6Cdd1KUhVYT+EHaAl+kV\nm4ApOHeleU8QjoWSt8h5UeH/MA6gsDi3zc9pG9gmg0PJYWDELGRPKbBS5nAomIW3dLBChgAE/ngW\n54Aj7MNFC8ANOVIoE3jPnmIBnYGHFr2B/qqkleZox7OUPUHl0RvKiw00DQ3FBI/+zoKSIy74jWsT\nWJGxQadhUBaWSh/P01Jh53lYOhe4WMho5IOFEc+xbvOJeSCqxHhsbEzP5/NgaPObmrw2VPFw6Bo8\n5RlRebyA/vVVq6yMPeOAcYLh4kUO9DnGwWvfmydv/cc8LqUNjCYO32r4Ww0wvBaTw8N5ypbn3QNP\ndnmeLuNeq9Ws3W5nXvyhfMc8gbaPjo5CuN47kIjHDKcEUZrYW5lUJnntlctlOzw8NLMv51oonbzn\n9DdOIYIXNdr7c+FRXi7B3gXyAFDMUMiwLtnrgiAYDodB8fEGbBaQEERm9yfdE6JJkmTyvsh3lMt3\nLzTnvAmIPRwO7ezsLOxdZSG4zRjgi4vaUEWO8bNRgnbQFywwPIPzYMGgXiiP6QYlzCElLmwDDmZ3\nOThsn9IjNWFQLZfLUKmMojvch37Va4gJAwWMnQ+850pifDK99HluB8AhWJ4Hzp0q7yh/4Tt4gL0G\nBjUesQ40ZcL9sYeMOdEQOufS0Cc+gSuMXxb2qpQ9YK8e+PKrCjebL/tUEVniqmsG8BKMQbwQQLf4\necBzABwmk0k46Q/rlSM/ahxwWzwfoIdGbfjeGL+yEcL5fq2Q59SVN0725Fixcc0HDHHMBcZYqVRC\nzhl5W/ZKNS2gxkHMENpsNvb582c7Pz+32WwW9rrHcrQI++L4z06nE7z0WKrEzEI09OTkxOr1unW7\n3XAuANdU8Jzh4sOYptNpZo2ol8zPKl/gqFAc48t0yDOg9DunCvcNe1fIYFpm1EqlkjlaDQuTPTKz\nL8TBGdHz+TxMNOdZ2LONCRkVriA+9kKXy+UQ/gDzpWmasbphmd/c3Nj5+Xk4GUwZVPuMeUVYyKXS\n3YvGWRma+QcoMBOgkIsPlmdBD8C4YBiBvvjODA3czLK5cNCJ8YNCxqk3UMzL5TLMk5mFYqk84eR5\naMBxs9mEbTfNZjMcgq9RhDxFr54SHzIBgYo51XsZRw296f/4HvYuQFM1yLSoiz1ytsDRBoe0ea44\nFYG+mfdWq1U0zxjz5NVDxq6CyWRiaZpau93O8FOapm640ezuBDEoEShkjsho//w3xoB8I85Dh5GB\nqIB6Yp7XC6NOw6neOvPw4d/VqFJPWRUzt8/KGHKP0zuME3/iXhwshGIqeJkst3bxlJXOnz9/tvfv\n34c3nHEqRBUenKNWq5UJmzNt1WvlqM3x8XEoSoOcyJMVqpARJmZP2fOS8TvoZ/ZFISPCwFGIPNA2\nze6Me+ikfcKjvFwCzGp2x8TwkKGQ8T8trOIQJcJdYFhvEhhYqKiHBCXO7/A0s4AXh0gwFhz8wQub\nGYiZXxdCzFtm2gAvgIbAGHiPNsag3pN6h2BGFpwqPPQ7Czb0CcEzHo9tNBrZarUK+6RhKGAhqqfH\nn7HQVJ73BuUAIaHRhDxgOnCYiVMqnnWOuWacOeyp4WD2uNjYYRy0UMxTQGrA5YVHGU98smHJRUPq\nIceMPo9XYchg7ZZKd1vxkiT73nK0xbggvIqD+LEGd/WU+chDKAw+pIUVch5faEhfjXbPS/aMGJ5L\nXBzhU2PR43lEu+AgMB9phAb/R+640+kEerJXmueYqHziuV4ul3Z+fm5v3ryx0Wh0L+TM9IVCxml1\nHGX0FLEqySRJgneKLVBm9w9AYvyxnnDKFnbdIELBdOVL+QA03Gw2905I1Pnx6Mj/Q0SVI3f7gr0q\nZFjSWglZLpfDq+/Yi8ZmdLYOuegFlhjagCLjRYDnVPmhDwAsrTT9crY1Qq5gai7OMLOQo8XRiUmS\nZLx0nXDuGzhq2BGKCkaJCkkNZXqGCr/oG94ectKshNE3lDEUCu8lVZyBHytXM8t4SpeXl5k8rwov\nFri8AFjwYD7M7rxyz7MBHRG6hpcF/PKEOs8DCoSYbpyX0jGA34ATPBktlgNdvYI88JN6yGyQoX0W\n8qAhPtUjY2Wvxgy3x4co5AltpjkrHQ7rI4fMx4hy/xo6NLNAJ3jV2BoDZaTCVwE8hhDlcDjMeJSg\nFe++4DlTT4lD+Nj6wgqU+Q587dFV89hY10xjjE0NBNBoOp2GQlHgxsV5Gk41+3K4xunpqfV6Pev3\n+9bpdIJS1i2OOq/eOsEcLxYLe/36tf3pT38KaSpPmWJszWYzhMy73W5YExre5vEynyLv3W63rdVq\nZWSRN+40vTtZ7/r62s7Ozmy1WtnLly8zBabaH2jJ84uTwrgQTueG/2bgvyE3sEb3CY+y7Um9Lc2h\ncphFmQUhH158LIDV4lKrXy/cp54zeywI3XLohL1x9obUS+bFrNZx3oVF63knrPTZw1PrXL0nzYfC\n4GHFoIpeacd/4zvSDZyv9nKgWHjgAz66lBlalYjSgnEA77BB9pBQEdPMU25sXHmeHoCVD3s07CFz\n4ZznkXq0Z17yvOFtHrLi6+G3TRkrzdW45f3Z4EMdi3qSoAkbBlCEKvw84xafLDc45aAGunpoCkwT\nDXnG+mb64re86AXmXunJcwUhjkI1njuONrASg6JstVpbQ8SxeVVYrVZ2fX1tNzc34U1s3Ke2ie/8\nFjDQMu9+vTAHMJAwBpa/LEdZdsM4h0Lk6JaHQ4wHOp1OeOXkeDzO3KNK2TPMQFOsiX3Co1RZKxPi\n5QLr9Tq8D5ZzXLDKYPFgASNXAmaHV8YMDGABwgsGOEDwg4jYcqSWtuKOwgswo9nd/mYvTMw5wSRJ\nMoKfQ7mq9Mwso2jRB38ih6vFSd5BBejHzIJhs9lsMrk8NQLAcCzo4JUjd83CmceLvCeEpoaH8B3R\nEBY2PPdqMKkHot4EzxXzAv4HQwIhLwhCPiOZlaN6Wvw/FiTYRsMKWQU1K1r2dvH3ZnP33m5e3OAT\n5OZ5q416yHypEVyv191ojIIaruBf9LtYLKxUKoWUFELXWtilHlW5XA6HiXQ6HWu1WmZmQRbElCLw\n57DucDi0JEmCdwOeYGMIPOwpKeCL/bBqeOjYYVSo0c+1MJijJLl7kQrLEs2NArfpdGpnZ2dhTBzi\nV6UM+XN0dGRff/219Xo96/V690LWMcXsGTubzZcajT/+8Y92cXFh19fX9wo4vc9yuWzdbtdOT09t\nMBhk3kWsylgB44RcQLEfvHSWJZ5jYHb3TuNyuWzj8diSJLFOp5OhofapUCqV7G//9m+t0+nYd999\nZ3/4wx/uvaUw1ob+DzJ4n7BXhRyzOPM8ZLPsXlgzywhfFlbbrMGYN6ohTvVSALzw1ELVi/HwGEg9\niNjFz+V5R3k5Rf1NDRAoxNi42RJl4L5jXjnjoRYuTkdj4cn9exa00oP5ivvSOdPvHv5quHjtqRDl\ntj0+YKXA93EEKHapx7vtnhhe6BNjVlxjayVGN+1f6RiLtIB+zFMaKuYTu7j/GB0gO6AEOWTMETn0\nrWFixgVKRZXINvowjjH+37beGWBYqyLAvDG+lUol86YjTxGrQswbC/BZLpd2fX1tl5eXwcCKKVX+\nHWfxa5g6psi97yzbvYI0nTfAZrMJPMDKMG8eta1SqWStVsuOj4/t4uIiajzEQI0dTovuA/Z7MnYE\n1ut1eO0VPOT1eh3CWMgJI8Z/cHBg1WrVOp1OyDvhSEV4d6wMeaFwGDJGLF6YyGmgutATDPD84SHz\nPmJPaWDMCN8yTvwMcOHFrAoYn4gOeNtncOEetMsMDUs+L+zJyjRNs0dJap+Mj44HC26xWIRcTaPR\nCNW2nMPhsC/69cLJwIfHoH3yYgHd+LVr2LfNgh104Tk0s3spFeYXPpcXv3Of4E/kP8EXnhLzlJ56\nyDwPWCt43svfor96vZ7ZZgjwFBbzO3DiaBJ2SpTL5XtHGrKBpQIahlmv17PDw0NLksQuLy/v0YB5\nFvgj958kSXh9J2TDep09+IQ9ZY4IYNzgyU6nY71ez40M6VwwfwInNg5KpbsCN8/BwHiUl2azmV1c\nXNhoNMoYE+zlA/der2fPnz+3w8NDOzo6ylSscz8aNeG55TWNtTsajey7776z9+/fuwrZgyRJ7ODg\nwI6Ojqzdbu9Um8DP8oWXUvBbr1Q+qnGFqvvRaBRqWZ49e5YxTDxgmqZpGnDvdru5hgTjntfuPuEX\nUciwyCBkPA/Z7G5bDva6IXTNHrJHeM+bYEGhQpAZHgJVc0tckam5QbUMPQuUccgLzSmOXhu7eMks\nRJmuMa8mb668/nU8ngHE9IUnhO1FZhaMH94qg0XH8+qNTb0oQEyIMH7qVamxw4tRw5fcj3rFXCzH\nz0NZsbCK0V1pzWHuWDTEw8vzjNlT94wOnq8YPtuiJDHDiD2qUqmUebm8V0Sp6wi4sAEIY+r29tZq\ntVrwMGF4s6HOvMW4wZDCmuf14hkIyl88/ryokdKSx4aT0OBkcF8s25LkS4i+1+uFbU4aJtb7PVDj\nD2mIm5sbu76+vuep5gHnkGMeNfqKKTd2iDwPWfmC2wQfYM80z7nXn+KRJHdvSMPeaKXfQ73mfcIv\nqpDTNA3CGb9DGONvMwtHyrEA9woIuA0VHmxpYYIhpPhsVWyuh+BgYY2tVvCM8YnfY4sZgiTmkT6E\nbmpoeMreEwYYN6zYWAGTF3bSvjAeFkJQbLz9inEol8s2m82CYm40GuF+0BS5WODJilf74ldoslLk\nCwBPBsYA58B5HzJ7QkwTni/gCB7kECyUCxY4GyalUvZgFfwe22qlRhWUrEZBVBGygEvT7PY2PWNY\nhZvHb1inGJ/Ogxo1bDCxQsZahTHb7Xbt5OQkeLbMjzFlDHqVSnd796fTacjdg6d4v3VMwcNI7Pf7\ngR84ysN8x54zxoG22TiAgxHzkNkoMrs76QyHrczn83sGA+OaJIkdHR3Zb37zm1DQxcoT93qfChjT\neDy29+/f26dPn+5Vh+8CrJC3eaSx/5nd7VzwDAFPuTOsVquwRWubQvaMPtAWB5xgrWnf2t4voZR/\nEYUMpk/TNIRHmKk4pJMkSQgL6nFssYnL8+jQPu7n0GOtVgsn0/DWAYQFoXhR1QsG8AoplGnUo30o\noD1P8XqKmo0Rpk+eh6wL0TMulJ7cDwto3d+rVnCz2QzzUKlUQrGPCjGeTw5bghbAEzykURPcAzxQ\nvKWhat7vDr5jL5MFBxuE+A6lzApZt8Vxng3jAo3yDCAvGqJ/M6gwZlz1FKc8Tx10gyL0vGNNJ3je\nJK9vzHm73bZ+vx9O3uK9zN5YmF6Yx3K5HAysSqUSFBqKtHh7HdMT/WC7Ta/Xs8vLy/DWNS+Sgedi\n84fn8MnKjavA8YzZXTEoxoBiJnZKeC2USiXr9/v2zTffhIhhTAl6fMDGDvhqOp3ahw8fQsh3l1A1\n04XTfLs8p8/zGFWuq/xhncCwXq/DyW2IKsWMCu959Iuw+WazuWccKfw/5SGb3S/u4kIfT1HkMR63\n6XnIXqjTLCvI+cARDQGxN62Wbh4DcJ+eh+wJwhjToT3+1H5i9yld+JOFjBfWzMPFUxie98Tn8mKO\nsZcYhRg4IAC5e16U7K1wGyrwoQw5/4b51xCnV42uHrJHX8WLow6snFkJYO7Zs94m+FQpe0aY8jYr\nGxVoHDnY5gHpnO+Ki/Ilz48arDhxbTgcZjxaDTMrD6NP3fqEC16q2d3WOxjSylfl8peqb1R8o64F\nZySADl4+mg0+5flyuRw8eTNzUwir1co+f/5st7e3dn5+fq/CH/eCDqi1aLfbWz1Sbw75d+C9Wq3s\n5ubG/uu//stubm7CW7wUdC70f1qTsA08WbVNmXtODuPFRX3Md9xHjCZ45vDw0H7/+9/b1dWV/fd/\n/3fYb899ec89JvxiChnCFQKbD1XAflkAC+A8i56Vg4b1vGc0ZM1eOHtqKtDg+bCnHBOyWIi7hKzZ\nomXhivHpp4YrY4KTFYN6Myyc+OJ+OYSj/cQ8ZK5+hOUPTxnboHAEHra8rVarcJydF3GAZ6FGk1bu\n4lko4s1mE/JM2LcYU8o8LxDi/JsqGeYJKBa8CYl5CKE9PWtYlafyMnhm2+UJcuVDpdsuwoSNWPXO\nvdC58jKHrNkL6na79uzZMxuPx1ar1cJWKuU1xYWjJEmSuB4yQsHICWrhG2hUqVTCNsperxcOicEZ\n97gXnjYft4nxsYcM3sa4mX5s2GN+X79+befn5+HcaC+FhKvdboe3OnW73VBMt824V/oxP6xWKzs7\nO7N//dd/tdlsZt1u1616z+MN0HFXhwl4Mc5MI+5b5WFeu9h+ZpYtomPgdjxD4OXLl/bP//zP9v79\n+3B06P827FUhI8eqSkR/y7vy7tXf8kK4sQllT1gFJE8aPvmKPQtQPD3hCfCUsf6PQa1MHV+MRgwx\nZcz51zyva5vnxN4M5+bwAorJZGJJ8iWffHNzY2maWr/fDwYScARtFRdWiPwd/8sL8Xr4xejIc+zR\nz4swsEDgmgP2kJVnPAGax+vbhLEqAs9o9NrIE8i7rlXGwaNTrVYLRz7GDrWIGd55qRIuoGMjwVvL\nwAPGOLzQ2H7qmIxQY8VL1bC3jPsnk4kNh0ObzWa5Bk2pVLJ2u23Hx8dBGedFOVh+8DwrvjBGY3P+\nEIW2DRfGaZvsyus79jvorfzH/W9rp1wuBx4A3fMMgTx89wV7VcidTsfM7vKe8JjY+merN5aTYiaK\nCVbPaufL7D7RIKS4UEwFpC4M9ZDhecAKV8HtjVWVsnd5+HKb2wwNvc8LLcLq54MtMD7GHQyvQiBP\nEMFLhoe8Xq9DFSnC1TiLeDKZ2GQyCe+4bTabdnx8HKx1LpJixeIJUyhy8B1763xBGOGQEBaInqWu\nni0bY1rcBTqCn3BmM84dns/nISKgCz9mfCqdmef5PlUeLJA8D29XiK1FXY+ecuc5w1rrdDq22Wzs\n8vLSms2mLRYLm06noV1PKfNagnGHbWzVajUc5Qk+Qz5XPW7ghNqFNE3t8PAwGI3Ag71Z8ACnHYAT\nK19+JSUrPdAAzyyXy+CJgT+ZduAvROxevXplf//3f2+dTicYeEiZafQqplx5/hAJWK1W1mg0zMzu\n1RfoWud2uN1t/OThpHIJbXnyz1Os/P/NZhMiXzA+eQ3HlLK2A97EVjpOnzINPNo+FjyKh8xMw98f\n4hHkeQfbLm5fBe02C4/xjCnPvHbyxuK1r3SJtadt50Ge98KeJV+M4y5jjCl+/tSQHMKOs9ksFGXg\n1X7tdjuc4qOWtYc3C/08HorhrEJbn4mNXeniecq4j4vB9HlvXrfh7333cFX88Jv3bB54uOThxX0r\nHlxIqR7fQ3gtFjr3ZIRHHwhh4MIKN0Y/TaUwXuokwJBkHuPT4tQYVNqBjxqNhnU6HWs2m/f4BffG\nlLHeCyMCOyLyojUxZRibY+3T47PYnO4C3vozM5eGalCoUvbuBc2V/2K0jeG1L9irQu52u5kFgWPR\n4C2Z2T3ryhPssEBh8cYWoOc9ow0zfx8iCwO1iHEfPvOErnpODIxDLD+mC4B/U9imlD2BjDEBf3h0\neEsLTv5hz4o9MdBP54pp7EUrdF5wLxQxHwWKIgp4kajEhlBjTwOeNE4rQqELPE99ebkXSo4pk22L\nT+mM71xYxicPYfwHBwcBT+4HSpKND2+elc4er3u4eUZXXsjT61/xiOHiPcdrBv3jlXd4p3LeSy88\nnuN0g77KVeVEzPhFMSeUHdIow+EwHHrCc8SV9Fr4COWrnjJH6MwsFFLN53O7uroKh8XEDDt45YPB\nwF6+fBloz1GEmNLM4+PZbGaXl5fhyEk1QPST21cZ5RnMeeA5JyxLFGJrYl9KUJUx6F6p3L2yVvHf\nZ/958Gg55DS9K+XnnF1MgTGoMI9ZwLGL283zcPLAWzS8ePKseh2XJ7D0MyYM9wUaguetXgjzeYuO\n8fTw23ZxdASCCm9eKpVKdnNzY8vl0nq9nq3X61AI5SlXLqRSRZPnFalC9iz02O8xGnjCVIsROTWi\nht82uuqnh7sKCm17Fz7nPmPrMra2+FPH5K2ZWIFbDF8d6y4Giocrt818xIcP8TYeNbjz6kXUMGWA\nAYH3+KKy2jPmtW9syYFTE5vHbQY9O0coYlO6e8/GlL7OM/rwlPQueG2DPP7dpQ0eR6xtT65zH9vW\n7D7l9F4VcrvdNrM7QvHRf0mSZCwPb/F7eWIvh6YLMLYYlSm80IRCnkD2lHLeeJSZHyIgd8UrDxhX\neHLIw0IQAR+em5gQAh4ezfMEIj8H4YD96MPhMByxieM16/W6DYfDUJ2Ng2K63W7YtqKFGOCNarUa\nlCHnwTebTTgUxFN4P3VeWIiy8jWzzNa6WGRGwaOb0tC7j/FRvHbxjh+iuLcZL9ouFCFvM8yr/sZc\ncTolTzZ4csEbV6lUCvnTZrMZojKIunAtBStvrTVhOnBED7jz/uPb21u7ubkJFf9c36IGMPeJKxZh\neyjAQx6NRmF8u/BEnlJ9KOQ5UOqcqIL/OZCHO8tH7PjZZ/sPhb0qZDA7mAiMjDCeVxkXE967eMb6\nPzzL7ag1qFYp37sNVCmrcs/zMPYBD2lHrT/ersMFSdwmFwXtYrTkeU55z8FzwNak1WplV1dXVq/X\nbblcWr1ez2wLgVI+ODjIvOwesNlsMovKq2yGIaAHWvwciHnJgBgu/HwerZTOSkcPF50/j0/zxpOH\nizfveXRUZaj7er31gzFgnjjcr+s+z0v2aJMkSeB53jbHJ5pxJM+rBGdFoTgBZ7TB75OeTCbhlDo2\nyhRPLy22DbYprzRNw5ZDbO1Rmut8ee3tIhPyvGHM7S7KeF8yc1eIGa77NAx2gUepsuY9YlDAWgG6\nSxgjpmR38RT2BZ4wizEm47ZPq2kXyBO6bIhgwfP9mJ+HCO+fiqMC6IUK6Ol0asvl0i4vL+3s7Mzq\n9Xp47dzJyUlmqwpSIRD0qHz3Clcecz5UoOEz5gGq8syDh/L3vr2an4sPAxsv3prape2HGCl5OLAR\ntS2EnsdDMXmkee9thuBDjScPjzyAt84e4K7Goc7NPvjqp65J77ltY9+2zmJ8ue8x7wJ7Vcj9ft/M\nLLx31sxCeT/CQQhfK8SU7r5CNrsyX+wZ/L2LYv6lwcNTPSX1ULgiGFb7Y44nNuca8kPxytnZmb15\n88ZevHhhv/rVr2wwGNjJyYnVarXAGzjww/O+Yspwn+PJE+D82881DHb1SBU3fP858NC+83DKU3w/\nB6eHRo48A5X5RtfDrgoZF9rQPdO7RGcYt4fQY5tBg8JafuUjf+bh83MU3i7KcFf4qby8y3OPLS92\nhb0qZLXO9yUU9glPCZenAr+E97greB5QnkB8CouIIeYt591bwMPglw5nPhR+qegdoOCjx4FdjJF9\n0z5Jnzp3F1BAAQUUUMD/B7D7CeEFFFBAAQUUUMCjQaGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQ\nCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJ\nQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIK\nKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyiggAIKKOAJQKGQCyig\ngAIKKOAJwP8B6a2qconacCQAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 9.0\n",
            "    J = 9.2140e-01\n",
            "    grad_norm = 1.5419e-01\n",
            "    penalty = 0.457\n",
            "    mode power = 20009.688\n",
            "    dip power = 20689.457\n",
            "    coupling efficiency = 0.967\n",
            "Iteration = (46 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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oeuX0F+6FZyISBgDDTmIAHQy6PHSv7eBBjQpSnrNDG1lurKcwxJ1Ox5IksU6n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\n5ZRTTs+A/h/gZeq+nk+1cgAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 10.0\n",
            "    J = 9.2274e-01\n",
            "    grad_norm = 2.0090e-01\n",
            "    penalty = 0.420\n",
            "    mode power = 12803.053\n",
            "    dip power = 13271.484\n",
            "    coupling efficiency = 0.965\n",
            "Iteration = (47 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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uYafO65fXN/CFh8KYj3QdFfWY3eeBwStZYTy07fG2OoqKRNjwsILn0DUXECZJ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\nyukF0P8DmTAy9jfM84kAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 10.0\n",
            "    J = 9.3463e-01\n",
            "    grad_norm = 8.5038e-02\n",
            "    penalty = 0.417\n",
            "    mode power = 25599.519\n",
            "    dip power = 26221.092\n",
            "    coupling efficiency = 0.976\n",
            "Iteration = (48 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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cYzRhocZcuAkIc9QoBIodhrLT6ZiZBSWIrTHgO29tPR5i2sOQeYaJ14+/0/lD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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 10.0\n",
            "    J = 9.2303e-01\n",
            "    grad_norm = 2.5730e-01\n",
            "    penalty = 0.414\n",
            "    mode power = 46624.615\n",
            "    dip power = 48344.336\n",
            "    coupling efficiency = 0.964\n",
            "Iteration = (49 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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HK9y1PsDTPy9y8Iwyt1/HCjs2M8tEwfw/vkuSJMgIm0hwhLxrrMR0l420AtDP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\naJU13w+8gxeVE0edPA/GKWvcD3qjRiJP7p5c942SWaeZT81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1PrSPEY4NQH0OUkWz2cy2\n261dXV3Z1dWVvX792n784x9bv9+3Fy9ehJSj2T3w44hKI7BYau4x9CWWRVBnHAMGf2raFyDsisz3\neQ4MoUYin/ts/O0d+/KmfcRTH6hJ+NzpLeZBi06hp7EiOOVNixD/WML44Fc+PqY+7gqwvOg2j/bJ\nCuRlA3Y9w4t6n8r4/H6QIEKKgp8a5aHc/220T4S/7+/f97kxUqOVF7U/RT370vRYYOKHpv9t/fZD\n2JX/jbYrRl9CFl86W/jgeWnRowUVVFBBBRX0J6dHjZALKqigggoqqKDvR4VDLqigggoqqKAnQIVD\nLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAn\nQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoq\nqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqigggoqqKAnQIVDLqig\nggoqqKAnQIVDLqigggoqqKAnQP8HOcafiCwWbY0AAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 10.0\n",
            "    J = 9.3555e-01\n",
            "    grad_norm = 7.6268e-02\n",
            "    penalty = 0.411\n",
            "    mode power = 29958.936\n",
            "    dip power = 30676.455\n",
            "    coupling efficiency = 0.977\n",
            "Iteration = (50 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Q6WazCREyGzIu7FK5wJyhVkAPaoChB2+4ohjrkFwZjy1qkAPP4XlOz1NqLQLi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\nA7rL2S0C1lq3AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 10.0\n",
            "    J = 9.3742e-01\n",
            "    grad_norm = 1.3022e-01\n",
            "    penalty = 0.407\n",
            "    mode power = 15537.793\n",
            "    dip power = 15885.174\n",
            "    coupling efficiency = 0.978\n",
            "Iteration = (51 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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y5tDYNn5wHxVguCodRUYAHvVoNpvH4rJ2u21Jklir1QreHq+NVfmIeSaqeHcB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\nrkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 11.0\n",
            "    J = 9.2486e-01\n",
            "    grad_norm = 2.2858e-01\n",
            "    penalty = 0.377\n",
            "    mode power = 9204.664\n",
            "    dip power = 9562.306\n",
            "    coupling efficiency = 0.963\n",
            "Iteration = (52 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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239ULkIvVk7wIREnBd9dvFJA8kPI8fTaseAdPEZGo9x/zbLMiq6xre5MSY+Bo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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 11.0\n",
            "    J = 9.4329e-01\n",
            "    grad_norm = 7.6061e-02\n",
            "    penalty = 0.374\n",
            "    mode power = 19935.578\n",
            "    dip power = 20328.195\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (53 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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UEkKmRENR+kzbKErFPUSRIo9UwZ5oV50Y7pMzUlyv1d/+wBLfHn0mK1KpVFLK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\nkEsqqaSSSirpM6D/DyMpmAWjHqH0AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 11.0\n",
            "    J = 9.3610e-01\n",
            "    grad_norm = 3.0954e-01\n",
            "    penalty = 0.371\n",
            "    mode power = 61081.357\n",
            "    dip power = 62766.551\n",
            "    coupling efficiency = 0.973\n",
            "Iteration = (54 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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hDUB2PGuf33mcbLygHygCgpHoGT1Jcr//tdPpWKFwFwLDljqAaMyL8+aE28bY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\ngyS5rxVhQ5U95MlkkgInEH632Wys1+vZixcvbH9/346OjsL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iNcAPa4gZ757xrcYBgyeM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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 11.0\n",
            "    J = 9.3954e-01\n",
            "    grad_norm = 1.1333e-01\n",
            "    penalty = 0.366\n",
            "    mode power = 32199.770\n",
            "    dip power = 32986.406\n",
            "    coupling efficiency = 0.976\n",
            "Iteration = (55 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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U0TMXHeF8XCOWtlJSwMK7GtAsUkXwvHzPc+Z3EIwh2hEDH+935UkNBLdNBwj3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\nAII8h+z1NQOYjh3cF3qP1CYMOGdfOApUJ7darYa5z+12G3a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5HD436/Ux5Cn5TwGHrOtr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\nkQAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 11.0\n",
            "    J = 9.4723e-01\n",
            "    grad_norm = 8.7204e-02\n",
            "    penalty = 0.362\n",
            "    mode power = 15169.928\n",
            "    dip power = 15425.603\n",
            "    coupling efficiency = 0.983\n",
            "Iteration = (56 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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asY583Xq9bv/wD/9gd3d39u///u/23XffPYn6vWt6YP/H0otEyJye4+YiIHV+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\n2HSObQ/5fD4YedRvQKy8HCGbPUU5UEwIOmpTbFi5AQRAABG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GxuPxlXmS1tSFa7Dj4utq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\nQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 12.0\n",
            "    J = 9.4329e-01\n",
            "    grad_norm = 1.6728e-01\n",
            "    penalty = 0.338\n",
            "    mode power = 8518.089\n",
            "    dip power = 8717.407\n",
            "    coupling efficiency = 0.977\n",
            "Iteration = (57 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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P4e2qgaG8V5lptVr229/+1gaDgf3ud7+z77///gGwe4bwYw2lT6HP4iFjAvCi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\nFp1jLSTyf2b2wCrcBxIs7GyVIqeB3AkIO4rxYx5RXARB4CI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OOgSuNkbbvDEDaZ0L0jHs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\nRK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 12.0\n",
            "    J = 9.4479e-01\n",
            "    grad_norm = 1.5326e-01\n",
            "    penalty = 0.336\n",
            "    mode power = 12587.848\n",
            "    dip power = 12866.322\n",
            "    coupling efficiency = 0.978\n",
            "Iteration = (58 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wRHU7qtefmIPAxWYM5rPmXnmm2WzaP/7jP9rNzY39y7/8i33//ffRMDx+7wH/\nx6An8ZBZoWvoFIcIwBtCngcTrAaOF4CZCWgfRhxVxWYWKnDhQZpth0x3oVEmDwnt8jKyFIeH+PU3\nfH9tB0yIueA5iinPLAURAwSeMmaB4Jwyb++Ap8TeEdqAIsb9eE8lPDiuIMW6wZuCcociRyEeFBj3\nX4VZ14bHw2ADRUDVajWAROULNpqbzcZarZYlSRLSKVwdnTXHMYOM63nPrecZsoFhQ4r78r7whyj2\nmGL2/vYALIMw9AftQhbZQ8Y7DtNgL1krgGNjV+UKGfFC6mb3zyKPebye3CtQjxlu/U3MGOi6Kw/o\nb2JGnQljZqOl4Xj+Xexd2+C51T3vPL8xgpyhiJcPXInpO2+cMf3G/eL+ePPGDgjuiZQBA6E/BT2q\nQQYCxyRBYeM4wEajYZ9//rl1u1179eqVHR4eho3wzIjsHcNDgwFmo4zwGBR0rVaz0WhkxeLdXkEc\ncMGHiHD/sAga3kFb7OF5AAEL7S2gCr6nSD2ED9DAIUjcjxVOWESnMlUFUdv0lDyTekMoBoK3gy0O\nOBji+vraBoPBlreEe2p+EDzB848DJSAMPG9YN4TqcdY2Ksixfxxr7IEUXhMQxoUw9cHBgR0fH4eD\nGVA0wooMxhZeNSo6cdTjzc2Nffjwwa6uru7xAYMRDfvyvGPss9lsq0qWt41xzg0eKXhW/0a7DCLU\neGv7WQYC88b9gDEFOOCwNKIKyImbWZC3JEns/Pzc3r17Z1dXV+FMaM8wezLF44XShwOgkRbmD95u\ng3UAiPIiV2YWDs3hZxrzeQhZoDsWEVPiMXHenWXYWzdeP6SCOHfOBa2cQsJaq4Hy+AI6E5Xqnmzx\nS3kctSI4RKRWq4Wneamui41N5Qe8yKcRKumcc90E7gVdgn3ro9HI/e1T05OErDFZXJYOpYeD2uGF\ncJ5HkS7/7SE/s7sn+KDoCYY4SZKwzSNN0y0FgXvqfs4sT5lplxdm5hed8N+xRVamY0bFO0cLMO+7\nckNe+1l98JQyCwLWAYa5Wq0Gw8FtAUDw+iGaAUHiPecc8gTowj1YqRYKheBVIdTN+dYsgwLSHBQO\nGOAwv1dMg/thrDgEAQ9Rv76+vqdAY2vsERsdNkwKpmL5afzPqYOHpEo8pZzlMaGvWszFHjLnkgHM\nYAxR9cuHWXjj9Qwcz5MCVZVhNeLeYTsMsGPrhvVgcLTLs44Z6dia6/p6a6Zr5RHLqeoGj7Luxdew\nPGeNQdcGfUIhKCJhDw3J8zWeXooVBnr6FvOn9obD4P8vPORms2lm27k5hKdPTk6s2Wza0dGRdTod\n29/fD8ovi0nUGMAIQVECPUIRr9fr8ABw/I+zmVVhw6Ds7e2FgwIAHPggDrxAzORYVM0Xmt0XMs87\n5fuqh8zvuB97v9ofb/+mp4zY4MVCgzE06qUMCoVCyCljrzjfB8YNW7C4rwBNKOjj6ATnJ4Ho0X8o\neoTvB4NBqKrHtZ6w438v/wR0zCcNYZwgeETMh/DaP/vsM2u32wGYYGsUAwtdsxilaRpSL/DGEN7l\nWg3NSetrvV6Hh7njAJ2Y4XmoYgRQMbPgceJ0LYwTn2PtEcrHQT8Y13q9tnfv3tm7d+/Cs2/1FL5Y\ndInlEjyIrUJejhsglgvQ+D6Qi1qt5oK41WoVdnzg8YXsHbMMseFn7xm8xwVRMPQobkPtwGw2Cwel\nmN0/UthbM43mqbPB8rwLsDJBVjQszADBWycFS7ARONCDPe1YfzzHR20C7wvPIg/Yed//nF4x06Ma\nZORzsfiIyyNvgBfvreOiAJ0ED60zQ6EtGIjNZhMWBkic97ipQUaogg8D4GKvGLJV7xXvMY/UM3je\nousY+Xs1lDBG+Mzzkvm3qnS0/V2eHAuzGuk0TUOIkI0lfgs0jEp6EBtkvOP+fDAL1g8KFZ/z84Vx\n2Ak/i1bnwkPEesAAb30CcNC1wPzDKAFk4LABGAXebqFgR989zwqFXboVz2w7ZO0pNBBSNnheL7zT\nXQony5tiYKxRCx4X/meDxNuhUCHf7/dtMBiErY0P8UCVf+F94eEpCkh1OxafgIYXR9HA19zGZrMJ\nBpP3iMfC6urt8rx6haG8BUhfXlg3xjf47qFRM16z2HeeI8Dt4W9eLw6N4z4ILet5Aw8Bg9pX1U+7\nPNssQ5z1OX/3Kf38MfQkHjK8H2wibzab4Qg7nKSCkHWsms1DgDGEpPkEDmMzGi6Xy/fQI1AfnlYD\nRRwLeSnDm9lWuIu9de+3MfTF42DyGF4BAPqilZmewKuB0r556xADRGyQMa94OAJ7qngCkCLiQuHu\n8YF8nKfZ9tnAWD/uKzydNE3DYQrwuvRMWhUiXnv0C6kUKHR9/jCPkftYKBRCDQPyyScnJ5Ykib19\n+9aur6+31s2LQMQ8Anh2o9HIrq6ubLlcBpnRrV46XrS5XC7t9vbWhsOhDYfD8FAE9ay1bW/9MW+I\nKCA6oVEXBqlYC3jHhcJdvh3H3757986ur6+3PGOtyNf+sKwgr8knkjEYSJK7p7nBGALQcp4WfAYe\nBn/hlMB+v2+j0SgAB3jdOk8sryqzKttoG9t/kFNFGB/1Eugb87AaCW6P9cJDQtYxUlDBQImNLbef\npec4paCghO8Toyx95IWsP3W8fKIZ10n8XPSoBhmHeUPgG41GCCN1Op0QFkS4Al6NEhZJjS9/7y0G\n5wDgwXDoCvfgwidcA6PBp1mBvLybGjZlfHweQ86eAmbkHEO/LAgatuaQNfeBc3wMJPC9tqH94vHy\nGNkww3BhDDAGxWIxhLM1v8c5Wg0Nw0uBMLBHhvmGwsTD480sPPVJScEL+swP3+BKS36oAPhHeRLr\nAAOAbTY43H48Ht9bB51PVZQ8/zDI4/HYbm5uLEk+bjeDIVSFy+uKNV8sFsEDHY1GNp1OQzSAPV1v\nvmLrDwADw4boE3vsMHAx0DCbzezNmzdhbIhsoO9eesfrC3gHh2rgQBfIDxd+4m82yJrKSdM0nIkP\nwzObzQKgYYOMSJCuJ6+3B8TU64YRgEEGaJlMJlar1cIDcHhOGSAyXypg1zWIEd8D/6unzwaZAbKG\nsNUT1TnSELq2+RBSfcS65acQFx6CP35OelSDjHAkvFSEkICokadlQ2m2u8DoxxArKM2fwGijipb/\n90IoypQckmGBiDG0Fmd4xj2mWJnYA/dyz1lFLRxe13tmhXJ4XN5asIJQwUR/EHlgA8fKFCBOUT+n\nGxiscP52s9mE7UqbzeaeECkgQlswxhyqxou3O6FNVkAAfJrnR3+wFQxnKHsRE55bnjePh7BXE7UR\nXHnrGTv8DofjjMfjUL2MpwAh3M7hRFXuuv4a4mdj7gEOj3+g1CeTiV1cXISjCvlwGQ+0sizjXgB0\nnU7n3nGZ7H0xYMC9OJ8Mj9zMgiePQ19wNCqiC5hDrijnffqqR5jYaeC+AXglSRJqBeAh12q1sGbI\ny3NUiteLAQzPmxe6VlK+02ugcwAeePz4DZN3D9YzMW86y7tWnoqBWr7WiyLotTj9D8AQuXwGcbG5\nemx69JA1Kzw+Bq7T6QRPBt5HFu2a8F2/Y2UK5ocwcAEAQpNsKBTpsuBoaA7j4BwPC5uiSg29MoOw\nx8JhJ/QD7xouwu+9rVueh+wx+y506ilpfqmhZSSMPcZ6YpA37+iD5iUxb/qeJEmIxCRJErbQaaEN\n3gECuIAPe+IBGlH1zf2Ct8QEj4XD7uhPkiQhlwwBjxmarDQF8paj0Sh43TCMOt/MK1Dy8/ncrq+v\nrd/vh5Crmd17eALzkvIkGzItfGTeYaOsQAjf4UCb0Whk3377rQ2Hw62HSnBKQ+dJeS1JPh7q8OWX\nX26drqZyz7wCw8fRNLxms9nWMbEAV4PBIDzMHofTwCCxPsFOAxSu6ZryrgJ8BiOLc/lxPCxSE8Vi\n0Xq9XuADHr/yEusG5i3P0dilS2PeMZ7yBqOsgDLLQwY/q1PC7Xh6iP/3jPKukLwHNJmWy2U4enkw\nGATQhYcXxegpDPOjGmSgbgg7o0bPSzLzw7geulaKoawsZMUMyn2J5Vm8PiojqaHymDi2bUX7COZi\nb1ORawyJspHjseD6mIesY4yRIlj+TO/F4EJTCZwu8IRJQYoKHXtRHO3gJ/dgjJ5xUI+GeVVfauSY\nh2Khe+4TjoidTqd2fX19b049PlflAzDAZ1tzWJKND3uXUJ44dIP3Misfqox5vAigDYMS8wRjXhDn\nShGOhcfPvMCheO2P2V1eD0YQD6jB1kquslVDYHYHogCukVbRffYcfWGvmJ9whv6g5gDzjRw09CHm\n2ZszrAPvjy4UPm7pm0wmNp1ObTKZBCOP/rGe4bnScLBnkD2d6hk9bx15DtSpeAixblRdGusPk+cI\neLlj73eeXjG7M8jn5+ehyp8BveriTwE2n0qPHrKG4PKBC8gdI4THezsZVeN/DwXx98yM6n164WC8\nc79wupJOdiwfB6Exs1D1yOEzXM8hKFRkAk2CiXW7Bfc1poh47PiN5oX1AH38Fm0yg/0YhvKAj2eU\noQAw31y5zHlu/j0DB9xfowUIR4NH8M7riScbQbBU0WD9+Vx11DSw58d5SKy5rpuGrPnQlDRN7dWr\nV1YoFOzi4sL+7d/+LeSmmN85KsIhe15/hNT4qFIFAwpo1ut1QPk4tAXbjDhPprKifMFACvOEefOA\nNUcwWD4hB9Pp1C4vL8NxmTj+1ZMBHhtSGuCl/f19Ozo6snq9Hs4hBm/wITGQOfACV3zHQDH4l9MX\nnNrC7xD9QZQN81MsFgP/sQFnudBUCA4ZYUOOB7cgbH1wcBD4DO0DZGMOUZeDNvTQIy8aEwP50DXg\nQd7KhwNrsDYe8X1wL8yJVqt7W9yYD3l9GGjwmQYeKU8DYLIO7Pf79s///M/2ww8/2HfffRcefAEZ\n57P1tR+PTY9qkJlRNKfJnpKGJx+KhkCeV+yhLlUurMDYs/DaVOI2YgKt17GX/BBU6ClEzS+y4WIw\nEfOQQSy0HFrPIu6fN+dZ66d94vAg+IDBGIfoY/dTgeR781nAKAhjEMLKVr1jz4NgHsXce7k474V+\nwYNDmNk7k9obm44ZhgRKUdfdA5BsBDUflsW/3C4IRoRPWNPQsq6fyiWDVPbYd8kFxoZ1AnDa39+3\nbrcbtlQWi8WgRFlGmH8Bqtkwc4hX2wWA1Op7NgjYuYHaAjMLZ+yj+Avbu3g+Y0CGD02BdwwwNp/P\nw753jirAyDCfqtx5+k7lm8fuGWleR30QSEyXeIA75kDpS2VB+ZPHyXOpxHPNcoa+TKdTu7m5sevr\n63CqIwP/2Ev79Rj0qAZZ0RkYmvd5woNToxVTRl5IDAzMLzAwP2cT92G0qHkcXiz+n9vTvYsIK3GV\npipBhAqhfKBQ2XtgZYC2VcEqouVwIytBeMhqYHa1EwMlPNe6VviM3735Y6WFkCKjTVaQvAb428sp\n6dxgPfH0qYODg8AHrFjYSLZarXD4B/ZEwoCjshV5YAViuwwx1ymg0Ah5UgZF3lpo6I0NHhuzJLkr\neOO5YGMIbwYP4cCzm5mnOcTN/ffADh4QwMfgMt/rkZxoBx4Rohaj0SgoPqy9B/KUp7Fmx8fHdnh4\naEdHR/bFF19sea3I7yIcPp1Og1cGPYFtcQAEHMHiQ1PMLOyt7/V64fntvV4v8BCquznqArkfDof2\n9u1bG4/H9u2339poNLJ+vx+2fHHBIutADqXDC91sNtbv98NRwwAJamhZXhGZajQaNpvNbDAYbD2Z\nTWU8Bs64XzgYZTAY2GAwsH6/H/LdLL/K48qT4/F4K22hxj3LsELmUSzMutyr88Dv9D1JEhsMBvb9\n99/bDz/8YO/fv7eLi4t7Bpnlw7NJz9ogc4GTJ9j8vypbT6HrBOI6z1AAubFXhN9qLtPzIJm8trz2\ndNE4tM1MllXQ5SkhHrPXT8+zVu+YDbl6MFmeGQtTzBvWNfPWkF+cQ+aHQLBi0vF57SrBoHAeGYZ5\nb28vFFLhWrTvPSMX94JhwRwiErFLAFVg1XPnAir9Hfrn8SX+5mrgJEm2jqTE7xlAcA5Z98zGgBT3\nnUEszvnFE9sQmgWPK/BRmdAUDkCqKk+vP+AdALp2ux0M8vHxsSVJsiX3iETAEOu8IFyPEDH6slgs\nbDweh/4mSRIMMvgG92YnAye7tdttazabYY3wFDAceIJz2DebzVaBH+YAbfLYETKF0R+NRlYqlWw+\nn2+dcOjpR8wbO0JswGPz7vGm6jZ+9ClqNtRx0HvjHgBoGs7fFXlU+cK6sGx6xljHwv2az+d2dXV1\n7wx1ry9qU/5PGGQgFd0Pq6EFs/vVy7iO0YjZdsiWGYNzVHyiDSt5FW4mb0I9RtB+mt15yHyIgR55\nB0HHecv8ew7Teh6g5ynz9xpR0DnOConhep5nzUHGPGTNC3qhRjZkWD9W6rVabWuNFE1rBCCrLR4P\nDDI8l+vr6y0PjHOB/GQp8KyG47L4ICtiwOvEOTx+ElkMMCIMzKDMzEKBGfOO3sczyPCQwZueQWb+\n4SgStoBVq1Vrt9vWaDTs66+/DucHIEQMY8/nmGvxGeQDD2XANif1NpTPEaKuVCr24sULa7fb9hd/\n8Rf29ddfW71et06nEwwcdAiiAAA//BCJNE2DMRkOh+HhHePxOBhnnhfwCcaLiFi5XLaTkxOr1+th\n3zNC+eBXFIm12+3wyNByuRwqeeFdKkjHXLAXj3qA3/3ud9btdsNDc1CTw7oV+gH76WE0Mb5SqWQX\nFxdhrbKMIPSM2V0+ezKZWLlctn6/b+fn5+FRpLxuuC/LDnig3+/bzc3NVh7ae0AHeJoJ/MBpE/Ar\n2vAAvtJoNLLhcGjfffed/fu//7udn5+Ho3e1D+i/Ohm7nLofS4/uIUOQPI9Nhc9DImoYdGI8ZZ1V\n1AWKGWVlII+hGMXiXT1gPYvW804UcbHwe56KZ5AxL14IWueYFTS3xXknz1v2+qjGiL9TYwRkz3zB\nSh7CyQKv66vrHEPRakxwjnGlUtnatsBpExZoLX7j41V13j2D7K0jg0kOXzN49NYOfWEDHIt2sMfL\n16EvDBK5KlbHA0If+PQyHLZxcHBg+/v79vr1a6vVauFeAJ14SARCrcxPAIPsjTLo0QgN8yhSDNVq\n1Xq9nh0cHNjr16/tF7/4xVakjfcFs9eF7UsM0CGjyM0inA8DyMAyTdOtB460Wq0A7nq9nrVarWCQ\nmfdhkJMkCZ44DBB01GQyCWPViJvZ3dGo7E0iBP7y5Uvb29vbmisOXcO7T9OPz8IulUo2Ho/Dc8Q5\nWpNlkJnfYKxwDOtoNLLb21srFouhUt2LAGF8mHsYQ3ikvK/eS3mwfoDHz94+pyxiIWulyWRil5eX\n9v79e/v9739vNzc3Id3h9QGkUaRnb5A/pXOeh8z3iBkGDRsDcXOVohee9drXPnvXMsNqPgVGmA9u\nwBYJZrhd3oC2rUCG5+IhoWdWhuwh873YKOMeHKFAWzHvOAaCmGnZGLLHhbWKRSnQ31ion1Esexac\nU+52u2HfLoph+KxqDnex0YAR0zYYeGk0Rg20GuVKpWJHR0fhSTdsINhDRp94yxW/NOTI68uhYm+d\nVNEo7+n2MeyMQDUzTtvD9h4UFnGBHkK6GANHhBQgcCogBpThETUaDTs8PLTj4+PQB1y3Xq/Drg3w\nFPL1/AhWrmoGOMC2IuSaFSTwmmMPMPaqM5iL6RLMZ7PZtEKhYL1eb8tTTNM0GOaYM8HRw/Pzc5vP\n53Z6empmFoAH7wrgqKSZhfZPTk4CYL25ubHb29tgoFm3KbHeQQQC++IvLy+tUPh4iAna8nQcxoQK\n+8vLyxChYH7QqA2Id2pw8SYbZ/aQY0AfYPD8/Nx++OEHOz09tcFgYOPx2K2BwG/BPxzB0u1rj0WP\napDNHm6UPYPMuQjNRakxhlLkkJMKFG9L8phkV1/VCOIdeTzsoeSKSAg5CjjQTxgEz+PhueMFj13L\n84TfeR4y9xl/qzFWAWBDzgYwZow8RYJxoG0+nrJWqwWvRj0j9Yo5JeB5yJ6nDOX84sULWywWdnZ2\nZjc3N+E0L/RFC99YUaP4hfd88tj1YQ+eUeY+1et1+/zzz204HNr19XXwKHENh7ZZ8JVvoYDYoCsI\nYPnwqmGZmG+g1BESxGE+vV7PPv/88/CktnK5HDxS9BlriRAr1oENMoNWAGeEgj05TJKPp4lhn/Fn\nn31mr1+/3iooAyhgHgUogEEFeADYwRpzkdV4PN5qlz0u9Btj7HQ64ShY1EN4Xh3mAL+p1WrBs53N\nZnZ1dXUPsGDtzCzwFz9W9ocffrCbmxs7OjoKOXgGIFhHNhgoUGy32/bll1/a0dGRjUYjOz09tTdv\n3thoNLrHQwysVZaReri9vbX3799bmqY2GAxss9lYs9m8B3TN7iKKo9HI3r9/b6enp3ZzcxOcFjbI\nKhdmFir8YZQZ3OMzM9vid9Utm80meOZv3761//7v/7YPHz6ELXgacWKduVgsQh+8OX5MelSDrAPy\nlBRIDazZnRHmxcS16u3plg4wsIYVPGLP2/ucSRfVzIK3yWFqhHKw3xOPaGPExqF8NYDM/Ow5xLwH\nr48qRNxvFRDkTrlwSdG5F5VQj1k9Q7RZKBS2QkhZ0QoeA36v7e4yyJ5hNtuuZ/AK+3iOoDhw3CSK\ndzgqokDEmwOdRyh5LULh/rKgw0PWPnJ/YIiwTg8Bl9qu1wd94Ear1bJerxcKuZBHhXHDXOAgDbyz\nsuL59QBojB8KhcJW6BwPgFE+Z4DJ2+v4xXt2YWj1aETVHdo3zA+He3nuGczyGNAnLohDlCbmcDDP\nA+TMZjMrFouhYrrb7dr+/v4Wn2uUi/WL2cfK8aOjI1uv19bpdIK3q54y8x14zMy2ZGQ0GgWHCHOD\ndWB9ggr28Xhs/X7fbm9vgyHWPDrmGe8ss+B/gEctlmTHQZ0ZRFOHw2HI4cOR42iY8meMN7lfj0mP\napD5qSRQLLEBswL08k4scJqrXSwWdnt7G7YXsOHjRVTDx4RrwQSxcB6+Y8WP/CeQKzzifr9vb968\nCV4yBAmhHigs9oCYWAmzwdQ+cP/1d56h4fEhigClEAMnZnfbCPhsVwgRxsMesr7jQeRgYO1XzDvn\nECfajxliJbSFghfk//hwEu9BFh5fItSMylbNg8L7wlx4+2qxhny4BK8Re8fw3OHla0gUe26xtQd9\nUMDLCljny6vr4GpqeFSdTseOjo7s888/t7/8y78MfGtmQa7Rf4ADeMXIWUIPMIjmfdRq+NSY7e3t\nWbfbtaOjI3v58qW9evXqXvSAFS+ADLZfgofgaZZKpa3iMmxBQnv4PacM8B0+r9frwSOF4lcjxmuA\ntS8Wi9btdq1UKtn19XUo9mKwAl5iD49z42Yfdex3330XjDK21kHfYl7xrrq01WrZ3/zN39iLFy/s\n22+/tUajYd99953d3t5utR3jJTz3ut/vh9D5hw8fQpQBFeFskGezmd3e3trl5aX98Y9/tPfv39vl\n5eXWs69VF8DAs+wiygWAxl6ymYVoxmQyuZdXX6/XdnFxYWdnZ/b999/bd999Z8PhMMiRBxZVrzBo\n5cr7x6RHNchgbg0jsUEGxRSsZ1zUU4Nwa4UekDkbdo/YCHkeOfrB17Kx4HzTZrMJyAshERwIAOXE\n+669cBC3qd5xzEP20Jv3GRuah3qZsfXxPGXPg1UPGn3DvPF3nnH12nyIMWYCH6AoB0aOeYsjOuol\nz2YzM7tLT3g52VjfYnzteV/sRWkuWb00eHvwlsHvvHbqHSl/xV5oiz0RhAZZyaJNvLNHynlljlDp\nfHggWWXS7O4ZxwBVfMKfRxzt4b556QnNq+s8eH3j+drFj/wZjBMXNiLkHfOMeX4YpMIBQKpgPp9b\npVIJ4IejYfgdzxmiDvV63drttk0mEzs7O7sXUfRAHetfgFPk4lHRDd3PBhlFdNiHPh6Pt4q5GBTp\nPOtaspesHjJsDoM+NsgoRkP0EmF/jeyqg6DfaeTjMelR7waUhM5iosvl8r0qT1Z+2JeH74HCoFS5\nahkTirAHjjnD4vN2FigREDMYkKAaZFVgnrHCbwEGLi8vg2d8enoanqdpZgHdJcndgw947yv3yUP9\nnvCrUVaPxxMkRaEoVGDlp79jdA4PWY8B5WIIvGPd8Rugd1S1Qoi5X6ro2FtQD5nJE2KewxcvXli3\n2w0HEnDuh+eHeZKLuxAmRSEaKufZgwf/YS5iCh8eFsYFZcnncENpK8I3s/DcZyhlpErYM+f5UnDH\n25rAK+wlo23sOUa+FCdhKRhFfhNjLxQKQXZRVY555pC1KkvVCWinVCrZq1ev7OTkJDxJzgOVfC/w\nWpqmYSzY+sMeMniUgQinA1QWOP3C442BLNYZGG+tVrNCoWCdTscODw+3ZIC3bvF9eW4Q5r25ubHV\namXX19fW6/UsST4+ZANGnw2i6hYY7Hq9bn/7t39rr169Cs/LxvcxIwWdVyh8LOTCnL1//37rNDHM\nNdaz3+/bd999ZxcXF/bhw4ewzQjrwBEGGFhONcAzRpFhvV4Pz71GJAxGF+urqZ/lchny5qenp9bv\n94NMs3es+pf1Az6HrGK3xmPSoxpkDmMBQSPMqd6QIi5W5GAgKCx4Vawo+XF0UEBmdyFLVrhZCPYh\nHlfMgwTKGg6H4dFdqNhTYWUGZyUYM8gKDJgpYt4xf+cZV7TN868Gn3+j6D2WO/U8ZL4eBMXDhT2s\nGHlutW1vLRlQ8Wf8jrBemn6saGWFp2uL+6HNJElCARbnS3keNGTvef68tkD2PP/MD+xhKmjjsDHu\ngXVlgMkGQgFLLAKjyJ89ZHimvFbaX/ZiAPY05K6gl9tX0IlxIITO4JHvFZMBr49Q2gwi+VqdG08e\nuH01XDHZxHe8jxleP4MV6LuYl475x64BBodc4KayzffAmEulUtg/jKpxVKnr2PV/dqS43gJPy9Ix\nobZGtzsxkMS4mX9Zh8JAc6U1n9tvtv3MAQZ9sCFw4LT9LJCv+oZl5Nl7yHjIOBuhJPl4+D/O80Vp\nPBtY9YRAWBDsXRsOh3Z6ehqqFOEhcA4aRSXr9Xqr+s7sriwfi8ZIKIbaze57jDgKEw99v7293drk\nDs8AhpSFgJkJVaZe6BZ/M8MwkuT59UJ0YCat3mRDgzniXLI3Xs7fMzhSj4aVARe7DQaDcHIW7gGv\nkpU8fou/ud0s71gVKcagHqAXBsacaPjazEJIrli8e4QkF3Zx7pi9KJ4T9ZRxwhW+80Jx4FNey0Kh\nEM5UXi6X1mw2gzfKaRsGg1pIFitqU0ADD6rX61mj0QifewqTves0vXtKUrlcDv3jOdX2lNfNtg8W\nAaDC5+g385p6ytwnVuDIfYP30zS9Byh4Dvj+6CdX26MdnTsNq2O8ADrY231+fh7WjPvuRbrM7kCX\ndzQvQBAbYtYPbFixhvV63dbrtR0dHVm/37cPHz7YcDgMvOmBNug23jo2GAwsST4eRWlmAcRhnm5u\nbuz8/Nyurq62DCL0soIwjiygGA7b8FqtVsghs5fKOgN8xxEHbDVDH3hvvoIqtM26iOeC6y2Qv34s\nepKiLlaQKIjh04IYZbGi52IpszsGHw6Hdnt7a/1+3y4uLkJlIKr9YFzN7qpRmXnwPVc1asga7cWI\nDQT2z6FaD1WKCDtx/1mg1XCqQVZPUBF6llfDiojnwvPYkmT76EWgPPVWPK94l4eoRhnhVWwBUyOL\nueLoCPedaxD4ewVOnuLXOQep58E8p57u7e2tJUlix8fHW9tt9F3n2vPskyQJxSl4ypEaEK4K59QG\nwCyMNbZgMLAET6NPnqfBxtgDn/gMe5ERDsR36sGxUUaYGbUTmjJSD5k/Z1nhNQdQMYs/I1z7DmWq\nFdfsCPC9dE64X/ryokPouwJl5Td4sCjEqlarrkHI6gsAIGRLPU02IjrvqgPgqWOL29XV1Rbf6m+x\nBpBftM85bYB7vgbV1dj3zH1m0rYxF1z0iJoCPtyHD9JhUMprwnlspHm4tonb5MgJO0H4ngE0Hwrz\nGPSzGGRUIafpx7wO58B4gXB0nYa4Ly4u7Pz8PDyyDb/n3IvZ9mRuNpuQy4Un4nmKMGDsibC3zAYc\nqA6PjYOHjCIuzdNyqAV5EOwJxNYSNsgcTgOzYCy4JxO+90KcqkDYqPHvoUA9DzkWnlYDHQMT6C+2\nPLCx4t/x2NjDiHlBII5CeEqa/65UKtbr9dz7emPEOqC4azAYBEFnNM730f+9+3pGEeOORTvgcWAf\ntRpkpIa46hfGkSMDsbAs95UVFcsCz5uuQ1b/vRC5B3xZObOy59QUhyjVyHjG2Qurs+fI4Ec9W+++\nCkg5/8lyp0Cf+wRgBbCjYDsW7VGe9gB77OUZdrO7Cvn9/X07ODiwt2/fblV+e2vmgRN87ukJLuJk\n2VDyxsI6lPceo7JawRb3Q40sbAWcKa/Gg9eJ/9YXFz4+e4NsZluCXCh8LABAIUKlUgloBYKGUC+S\n/NjGhPDvu3fv7O3bt8EobjabUCGnewnZ00L+zzMsZnceLASIBdLzoqAc4BXzeawcBsO4eeE47NLt\ndre2P6ENhNMAJhg8cJ+4DTAIK3DPW2PPne+lSBH3Z0/FM8aed8i/hfExs7ANAQytxpv7hPAT1oTb\n0GuxZqzMeAy4xuwul7xYLEJYzgMteEFocZJSsVgMh4YgJ83zpArJU1Dor4bP1dvEOgL912q1AOYQ\nVanVaqFwEtcjB4j2tOLZC9vzHHAoHmPO8hh5LbgN9kw9b095UPlO9/dDiXIOnXlA+5QVecBY8bfX\nR+6PeouctsGLQRXkVT+DvIIX8fQqNX7e+jB48tbhIS/tC/qzt7dn7XZ760Acvh79Yc9b9YvHQwCL\nXAD6EKPM9+TIELxj7OOGQdbjbyGPzAdmdo+XOAqjvKw8qi82xs/aICMnwExVLBbD3rBisRhCdRzG\n5r2tUIar1cqGw+HWQfAxg8BGGPkNhCnM7qq2oaw4tMuhCbPtHIIqXexfRD4b5fPqHfMcsKHkHDJC\nl2ibkaznaeFzjBN9ZabjMLxnaJj5oByggCGcuL8KRwyRc3+UuUFAyqxYFGzw3CNqAOL+4DqstSoK\nNsTaPwUhCjS8XDnWFQcncN7QMwj68owyxsj7NZUUkXN1tOZslVfYAHlhazU+PH5OH0FJeyH5WJ+5\nHX7x73kt+D567zRNt6JoCJ9neZA6fwpGdF5jEbEY3ytIZYPqGT5V9uz1cREW6yMFMJgzD8DFgATL\nDffBmyvopSS5e6wn2mNSGdNUCkccGJzBIQGYVKCnpHPPToe+YuF9Xg98FgP3TFkGWT9nXfBY9KgG\nGeE9MDmUWqFQsMvLS5vNZuHQfy7kglFGnhH71N69e2e3t7f3jrcDUk3T9N7BIxwq4WPW4HmDgbAF\nAf01u2N8TyDn87ldX1+H49/6/f698BWPHULH1aoIucDTwVFzfMAEjDvv6+RoAVdCsnJLkrttWPiM\nQ68oomLiUCvnkRkAsBL15ibL22V0quF0b67NLHjIXCnpRTbwW1ammH820vib5wyRGDXQDAoRpQEQ\nhKHjECUrVG9O1MhzBAXIGgbVmzsoHXgIXPGMU7PAI6yg0AetROVrMH+QF/AVKnhHo5Hd3NxYsVgM\n6+eBDO0z5oXze/gtALKnQLHO4EWsFY64RJqHASWUoafA1UPWg1mwlhqWZ6Os9QuQJ8hZoXCXt9cX\neJPHiT7h6V+8bYyBQ8ygc981LZBljNUwMXAoFAohnQZnBm3pfdTbx7xy9IZP0ML9G42Gdbtd22w2\nW0VYMdK+w1mALkUbGD+DE5033IO9dU+v8RoxYW4VcDFvPSY96t14aw0bO6BcVNpytaoXAgLT44xo\n3qO3yythg8xKBqEGLu4w8709Nhhmd4oCxUl4gISGJlnRxFCsthlTamA0zguiL4zIARbM7N6BEhxJ\n0DAR7oFr8Ld62DFjEUO4PI+eRxzzkHkeOGLhrVHsc1UcnpKCUkXuledUjSfPHQAgG1adA+2Lt9a8\nDqyUshC75+VqiBjKgQ205xV73qUa2c1ms3UqGc7y5bXTcWqfPS85i2KyjCga1gyGFO1kkRpmNbwe\nL8cMmo7dM3h8Hc+vGmVvbnh9s8alHrYaothceh6j9knHoO1q/9VIalEiCA4QirEQblY5BcWiSqpT\nPb72xqdzl/W9rhfrMZ3jp6An2fakhgWl74vFwhqNxtZBHkDn2Ce2Wq1CfhlVzFo8YXb/5CkvT9zv\n97f2/jUajbDtxMwCyuJJh2HSMNt0Og2Hol9cXIRDJpgpODyHeWDUC0WHM1ThdeE69rLxEAZ4yMXi\n3aH5jPhms5ldXl7aer0Oh95rOAzXo09mHxmKC8rSNN1SujzH6FMs/Mnzp8UuGLeGrPXFRRZZAgrE\nrKSha/yvKBjFeOv1OhRIcfQBvIiaAD6+Ezyjp0bxmDC3DA713roWyrcsQ2pQMOfw9nTPOxsOPAdX\nQ9isXNRDRh+Hw6FdXFxYknx8OALCjgCJMQ9Do0OIUnnheVb+Cgow9/1+38rlsh0eHoaUSpIkW3Kr\nSpblD0AFESqMGQBdZULXT8EHryN7yDz3aqC5DbO7pxfhxCzIN1+rhpTvy2diI2qiACvLKMeMURYp\nP1YqlVCdfXBwEB5FCQ9Y8/Wr1cqq1Wo4/hR1Q1hrbgfygUdF8vGaWsDKof4YYbzw5tmZ0rlR8ATi\n9WUd99iG+Uk8ZAwEChELgPAsP+1Gw76qvHivGr8zxRQhFhwLwOE7Lo3ne3jGGDk1eMjsNWiFZozh\nuW9QflD2YC4tEsFcqiHE/eDNIQTLCgfKhg0e7sfesCpBRYeKTnd5yDyXirz5nmr04XVC2XP4NeaR\nxO6r3/M1WE+kUnjevZcaHo04xDwP7gtf7/FHrN9Zc465Aajidy3mylo3lRn1kPECYIPMePPNBoU9\neN3+5PFYbN60zoTBnqcTdG4xZgUjPBesjHfpGQWHWcbPI29u2FvU+fFIawp2eXAxY7xr3ry+83xy\nKo6rnrmiHSmXer1u8/ncms1m2CYFZ02jhDGe9MCq/u/JFgjefCzMnDVm3MvjgcekJzk6UwV0uVxa\nt9u11WoVHnfFx6th4oGa+FmZjII9NKzMqOFHhMxRhdpqtUKeihUYmIy9liRJbDqd2s3Njd3c3Njl\n5WXIafNxjhp6VEbn8SXJx33VxWLRrT5mAwVPCJ4LPHU85rHf74d92JvNJuTetcKVSSsSQWB8hKL0\nGvbUNJysAsU5HgY3HorHeDnXzYcucMGctsNesGe8uU3wA0DQer0Oz3HF2AEE9To2jp4g6vozyGNw\nqEYFfOYBAYwfXjwT8yoX4jGCRw3FcrnMLH5BPwB8Z7OZlUolGwwGIYeMZxBzfpdlTecCPLTZbMKR\nh9jiFwOszGsMXHGoDN4xL/yQiViREHiWK9W9g3BAGqHhtBu+53VE9Ao86Clv9IPvg3VF7paLB2MA\nBfcplUq2v79vvV4vzCvPhcf/Hn+ynsEBH3zAEqdD2CFA5GN/f99evXplR0dH1ul0rNFohNPHYJS5\nz1iDb775xq6urqzf74ejQPVAKLSJmgPsaNnf3w/yg3vvAi98z6+++spqtZr95je/sbOzs0xjqmtm\ndicjcC4hK49Jj3o39nyZoYrFj1tGCoWCjcfjwAgQDFYijMz1BBtFRR6pUMOYJUmytZkcBo/33Xkh\nThwAwse+8WlcitpiiBmeGcYHgOApSCjpQqEQjg2EEoe3jpN6YKhhzKA0uSJX5wz91rw8vtOcn+et\n4XNVHoz+1aNXoOIhTggoxgxDre3oPb2/MS6OdMDA4n9umw+n8UAAr9FDkLGO0cvn8/3U82Jjo4qZ\njQUUp3rIGqZ+iIfM9RsAfthDzmkUz+NiOeAKWy5G8+aT37VP4HM+JpcP+tEwuPbF7M6jZK/S4yVt\nn/UOr9VDvGT1eFn20BafJMb3xm+8uS0U7h4OwcbvIREr/QwvPr2M2/GiK+C3arVq7XY7nJwF3cpe\nMsbLr+Pj43BaGW8ZUiAE8Mvb3/h8Cp0X1UtKSZJYt9u1YrFo33777T3ezZo/yBp0Mh/MAiP9WPQk\nHjKH88w+DhaGGMK9XC639hTCi0DueDqdhjAzmAD3Yu8iZiA8QRuPx4GpUIjAuVlGgxD8wWBgp6en\n4WQw9CFLsWkukz0keN1a7eopbfSDjSM/qQQKinMxUFRckamKXY00Cz/PqSov5Ky5Ih7ACe3xaVI6\nJ958qRHF2FE8hzGAvH6rMmVDjP/BWwAt6DuHphkAcF7L7C6yoMqJwYsCAMwngwG8mJe5uBEhdBgv\nT/mb3SkJzA0DjfV6fa/KmRWszhfzDivA8Xhs1WrV+v2+LZfL8MhOyA3fg9cEBjBN0/BADDwxSiuX\nYwSQjmjaeDwORxUCyHPxEIMUNYYwIAAGAOQKrpQHFQSl6fY+ZF0fz9AzKa/wDgyMl3OTzOMIEeMp\nTTjWFEbZi354gInHDAD69u1b+8Mf/mCXl5ehbwroOfJRqVSs1WrZixcvrNPphEdSckqQI5oMGl++\nfGn1et263a7V6/V7UTReP/x2NpuFk75Qu7MLFCufJ8nHI5zTNI1GSPjaLIKMIML2mPQkBlnDfOwZ\nwyAjtGp257FBaeIkrFjVHi+GZxjZ4+B3TGCx+PFgBSguzneAkbDnuN/v29nZWTA86m166JiFlJU9\nH7jABooFhENXSfKxQpyVKR+mogYZxAIAwdIDNzSczYqCQ70KmnAICiIFCHWxovbAhio2zxizcRgO\nh3Z1dRWQuKJ1VX56P1WQvL2OC+JYuXqFZV7ekT0FKHxv7rgvmpfGNV7IGgBHFT4rfn5hndP07qhJ\nfkQd84+uAUeGNEqFJ/jglLJGo7FVEMnrwPNidgcUcO4wtmlhzJibGMFATadT29vbCwYZ3hj6oJ4s\nxsZj5Xwn5gX8zOFmXi8GVdwnb1cI9Afzouol5h3wDRebsW7h+/DvcThGu90OYWIYZPXk+T5snFTO\nYJD/67/+y66urgLP844NfrFBPjo6CoVcug9Z1wRg/eXLl+FJYvV6fUsOVK/jBScN52AjHcJ85+ll\nnX+cbgfPXG2IZ4jVYTGzUPQJmXtMepJ9yJyPRLgaIWtUYiO0ykaCT3Uxu6toBTNASJMk2TL6Zn5e\nUt+BCLmwjLd0cFETn+pidifYrOizUKkaZSi7JEm29tjyfHkGGcYT88THCbJxYa+DFTVCjGa2JSzo\nW1bEAYYe98eBKFDYvF48ZhgUjJdD41no01tDKA029OivF65knmAB5zAT+s1/qxJW5c7H9MUKpzBO\nzLun5D2PXo22Z8BjXhvmgA04Fwt5ldVqNDxAxKFrpFggMwBpmj/zDDL23ePB8npsoYIdJgB3PmUJ\nvI/QIcbO99B7cu4T88L85fGfp9DZi9W1YXCjpCCOdQunFiDruBePB3nbVqtlzWYz7PvVwlLmW15T\n5UXIFR7+cnt7G4C1F1XBOwq0sJ5cQa+RCR17kiThTAgAKy8qpUYZ4BlnYmPtP9UgMh/wQ4h0rZRU\n1ysofUx6VIM8HA7NbNsgQzCBsnGWNeeVIFDwIsHgEGZMBr5XAwRSxaeFEigSK5fLNplMQh4b+UpG\nQsifocIUSpmFmIVPmV+VKhQcFAi3BYbka/CdChuMCufZ+fAKCLXZ3Qk8CNlxpIG9WO6Lx3iIFoxG\no7DFitcJc4J55CpyzDePAe0oeWAGVeTwcmJFaR4fgGeg2LF/nJU8+InHwh4BRwr4UAK8mH9ZmTJw\n03A4vmM+4X3zeAdYAL9zQYumIhh8YN7wfFrPKOv8AYigPURByuVyOGq01Wpt7QVO03SroIjXGHzX\narXMzMKzlbFLgdfb4z+MCWBgOByG/azYTaCnl2ENvOgPH8xTqVS21tvzHtU7xvcM5sDv7Cl7oIs9\n41Lp48N2Li8vbTQahcgSF+dxX7B2lUrFTk5OrNPp2NHRkXW73WCU+fjImJfNvAFeGo/HNhgM7Pz8\n3N69exdC4lw0p14uPHR46bzNyYvE4B2f12q1AC729/fDnIJnmRdBqOu4vr62Dx8+2Hq9tq+++irk\n4D1Srxb6G6CgXq8HncBrxNfr/fAOZwgy+pj0qAYZyoIZGosPTxSoEBPmhXs4NIK4PwQ3FqrwBEtf\njGQ1V8sKVBeSPWNlPE/JcVtqYNhYsJB41+B+7Hlopa56VWyQ0X+sA89fbL7wP3+uFcKcB9R1ZsPC\nHjLmlvNo2ke0qevEe7bN7sBEzJtRQ8N90zHw/PFvVaA1F8Yesp5yxpEI5Qt+cchU+cR7eV4YK0v2\nZtA3T1F7xGvuRXa42I6NMoMLzBODTs6T8iMZ2WvjcSjYQh+4BoB5EXOuXiHkBvfm0D48QA0T6zrF\neDMWtfAAovahUCiE1A/aZ95iGcZnmEMYMQ0Rx3QRz6OOYT6f29nZmV1dXYXjjJlveD3UU2fPeFdB\nmc4FxsURC/Az6wjtOww2HBE9lZD5RgEef14oFKzVatnJyUl4+pQCAF4z5SPcC/L7rA0yOsfCBJQ7\nGAyCZ4x3MBXQGIwzcguHh4fWbre3KtpwqAZviUKbrETUKJplbzFRxgUoSNM0eJe8LQZtqiLDd2oE\nWIFwdTUWFgwHrz4WSgEjInQNb2az2QTvmhE5P8Ris9lsPRMaiszLo6EPyOPBs1EjxnPNxg5eMdCz\nFn1o/QAIyhderNndVhygXAgs1xWAWCAZTCDkxQVx/PxqHr9XwIW55ONYcfwq5yQ55I1tbuA95keO\nMAC8cGTBzLZOtUMRJKdV0C/lX6ydesgxYuCI9eMoAuo/JpOJbTYfq61ZuWIdGTiiT61Wy8rlcvCQ\nzcxub2+32mTFx8oVkQ14yMViMRQQpWka1kPzlnrADdYUT8xqNpv3omwKiODxsrHBvIA/YdTBz6xL\nPA8ZHt1q9fGgJJzvzzLKOs3MQp8PDw/tF7/4hXW7XTs8PLznHSvP8tryO+Tr6urKfvWrX9nbt2/t\n8vJyq2AOfIV1xBgKhYLt7+/b8fGxdTqdcL16xiyDLIu4H2p4ms1mkG0GxB44NvuoBy4uLgI/FAoF\nazab0TGrYUYff/nLX1q73bb/+Z//sV/96lfhKYXclr7r32maBv3xmPSoBtlDiKysoRwZWTFyweIj\nFIgQEyMmoMhYCM57eX3Sxdb8i3pE8AT4xYyjzBdD0Bxa5N/y51l9Z4XhvavnwX2FAtJ7K6pkg6xe\neGx8ABAszDAsXIWNtfYUsM6HzpUqvKz15fnicG8sN4t503nAmNSTYQ+ZgQF/r0rK40HljV3esd7H\n88C0n5qaUH7dFaFgT9nLnXp9YlkGEOQ0VSxK4vWF9Ucs0uF5yrgH8x0b8ZhX7vGU8pPKXJbe0TUC\n0ICHzMbC4zMGElzI5XmzymPKz+j3YrGwq6sru7y83NLJnretAAEe+i7PXPmL5YkLTrX/ej98x0AR\nwIjvryCM78Vt1+v1cLqYF02M9UM/Y/DwWPS4u5ojtF6vg2eL6ubVahVyJ+v1XbUz8gvlctmOjo5C\n3gl7gKHkNSyo6FaNBDM7o1LkNPA4O1zPZ28jXMqoGPfnqAAbaA7XanjcU878jr+9F59ghhc/nII9\nNG4XuRY2rLE+sJH1jBjnQ9Eme5JAvavVKuTG+KEanAtWD4s9ZN7XDiWGMXCqA+NVngOKnc1mwctn\nzxhKEeNl5cDABp4+h1/xGEbOt6FNeEOoxGQ+9cAcz6nnIUP5QFaYhxissvJBlCJmAL3fsHEBj2G+\nsK6QDZYhNvgaIk+Sjzm7Tqdjh4eHlqapnZ6ebskn2vYMC6JB8CZHo1E4whNFQTD67NWxvOOzUqlk\nnU7Her1eqL+ATEGZs3Hl34OnuCi0UCiEEDwbF/RDeYhzyNfX12EbJkeMmL/X67Xt7+/bixcv7PDw\nMFQo1+v1e56xGseYMcbjR/v9vl1eXtrl5eW9k7ZYntQwN5tNOzo6sv39/XsnsKlOYX2nLxh2jANr\npI4NEw6Nqlardn5+bqvVyo6Oju71V8eu40BkC2c8MHDe5Rnr/wpofyr9LAYZitvsrqqZF1JRPJQd\nTteBIMDT8rwPVSieF+whUCgVRs24J+7FW0rAZPCaPc8y5u2APNQYI+9+MS+PvQUQ561gxGJtZo1D\nlZW2C0IfINzI+5jdnR3O1ZGqhNUD8bxdD1B4Y9HIDP72Qu5s4Lx7s8eCsTGIhGIF+AGI43BeTOgf\n4iGrNwZiQw9Q4Xnxu/iNlRgDMgYL6pnG+sMGwsxCUSHOX46FWPl/9EXz2OwhaTW/J/t8X6RO2KDF\nPDwmnpeHRgw8HcSyiDyofqceW61Ws16vF4q4cCAI17IwHyhf8fpCHhikzmazex633o/vA28doe3Y\n3KlhVaeDeTTm4SsBUODQGjh3MWMcM5xIacS8/E8xyp5X/lPoZzHI8FQ2m01A2fjcbNvbLZVKITSD\nh0Egl4ViEiyCLnjMCDJyBTJrNpvWbDat2+1uPZuY84DoH57DCm8PiJyNEa5l7xyeUCyM4gEF9hSY\n2Ch6yppfTOx5csRAQ5u4FkpdQzE6x7gf52D5N/CoOA+/XC6t0WhYs9ncMmzcJ4488IEnyKWyAGuI\nlvlKq4W9057UuHvrxFWwDN7gJReLxaCcMEfwmCaTiVUqla3HTyqAQbs8r9gWlxWmVUWvnpB6sDEF\ni//Rf0R8MEbOXyO0yX3h+eN1YXk2M2u323Z8fBzqRwCys7xj8D3WEXM6mUxsb28v7ICo1Wpmdle4\nCH2ifSqVSsE7vrm5CToFuX7lYfWQ4VjAKCTJ9pPkWM+k6d12LA27z2azcNYC5p77y/Px6tUr+7u/\n+ztrNpvWbrej4fYso8bA5ubmxn7729/a2dmZmdnWcZdeJAX9wzqrQfbaQn9iERiMLxayzqI0/bhb\n5ubmJuhrnYMsY2x2F1WqVqvW6XSsVCrdeyQrk2egve8fg342g4zwEEI9HGrhYpVSqbR1/i0rQ1Zs\nqoDVe/M8QbSL7RONRiOEx+HlcBgTLxgVvEMpad4ZtMurMbtvjFlxaMgl5q3GDDO3gX56nox6b3hx\nqM1T3p4BUa8zSZIQui4UCiFMBIMFJarKnA0y7qvnSmMt9cWEe7BHpQeDMPjisfEcwQDDg2CjjM89\n5VQoFLaOE+TiKwZG3C5AnOeBaVQEv2Hvz8yCl86Ah9c5yxibWZBTreT3ChSzPGSV02azab1ezwaD\nwVa1tYIFVszMZ6iyBsBCwVqS3BVJajhf5atUKlmr1draMoTzETxvzusLe+rFYjGMg40aQA3ntnke\n4eEhJcOGH/0AqDg8PLQ///M/v/dUJ6Ysg8Hyul5/PEvgD3/4g11fXwegvCtawHoIh5nAOckyfNy+\n6o2Y/om1DcIaYBucGlE1ysrfZne6o1wuW7PZDEZenZBdc/sU9LMYZCb2fmCMIdSYKD5hSI2F2X0m\n8DxkVlj4DW8hQPgHJwixQmOBgGJDCBKhXw0Fcl+gHCCM+A6k41HDi7nAfDEx4NDf6MvL37AgaMUz\nKwPPU/fmGoqZFTVCcVzhi1PSeG8yDgeIgQ/cWxU391/PzmVvhE8y88KL7BHFFB0DJeZP3rahoS8o\nf4wP9QicclFD5vEwgyz9XD1kvg/zLochlY94zR8iU15fPBCj0ZdisRiOS7y+vt56+Ih6xx5gYGOm\nYWuErDUto+sH+cdRnojAYZ8zG2QdC8up7kOGHkNfzO50COQP+gM7TXDyH4yAyqWZhYc1dDoda7Va\nWzlmz9ngPusam91598Ph0L7//vvwWFv1tj2Dinf0UQ904u89x8PTTbvI40seC8CZyq/H17H79Ho9\n+/u//3u7urqyf/3Xf72XItM5/TmM8s9qkNP0roACi4qQJxgYHiyfl6tCrkynYVvPIzW7O8y9Xq/b\n/v6+NZtNq9fr907ugRCxR5SmaQAP7HmwIkFf1CBneab8OcZjZluMhvuzAvT+1895PkBqVGDUPI9Y\n+xibc87TIpzHSBjH3c3nc2u1WkGZ8fzrHMCwQ5FqJbPmcXlfLBAvhFYNs3p46qlCgLFWMGqaP4ZX\nxNufkiQJW1vG43F4/jfCtAB1ZnfpjZghjnmlHrjTtUKY3ztFSYGAZ4y9VIjXH/Uo0RbmC31ot9t2\ncnJi/X4/nNiFwiU1CDEPuVAohPwncqDwkDndFJsf9GOz2Vin09k6ilHrKzw5RT/grZvdnU7IW63g\nJbPXbmb27bff2sXFhb19+zY8mQ3t4Rq02e127eDgwI6Pj63b7VqhUAjn+6vc7yLIEyqrf/vb39ps\nNgvpuqw8rv6PNWV5zPJGY46Dd2/P2/YA2nq9DocVsfziHrs8ZFzz8uVL63a79vbtW/vd734XiuwU\nZHh9fSp6VIPsoTgNA6gCykJP3ufe9TEDxcRKAoqVvVxePFVy6lUqOPCUnedBeIqHhZjfVUBiCjU2\nVzGk53mWum5YMw0HxxS3Z0zgpeI+MFBmdw8K32w2WykDNoaYQ26b14/XkfvoeW/KIzAuHr9xW6yM\nPU/Zm0f2kLFP0zuOkD3DXbytY/L4itdY+4nPVY4eqmS4zV0yy33gfiD3qCc7ZXlnnmHWdAa/svqC\nvwGkUDSqjwvU36qMwyAg2sGHpQAYqH7B7/r9vt3c3Nh4PL63Dxr3x2+w37fdbt/Lhz9k3Xidze4q\nxLO2WnE/+LexOdH2dhlCXBe7L95jvMnywmc2PISXve9R5MdFclnG+Ocwyo9qkHFMnuZ9VOFk5cX4\n92B8Txl4CJ5zXmb387QIV6OKmysFVYmp0k3TdMtT1r21GB+MmXpBZrZlSFQZeQLkKdwsxBlTlEly\nt7UC40cFO49P14CryjXPpmFM9pJxgAjWHs99nkwmVq1Ww5nY3W7XkuRjJWm32w3AAP3hQxfgefLB\nHFhHrB14Be/sBXMRGgo4YpEU5Jf40AMFAVDsKBLE3HKaYDKZWKfTsfV6vfUwE65R4HXlvsLjU8OD\nrWQc6vRAIYCCHpKhACSmZDw5Q188j50VowJY5G6LxaJdXFyEUDFqMTiEH/OSuSaAq4QRLsb68yET\nauwRst5sNtbr9cJ2qtvb27DVjOdH8/BsCFBQxl4a+AtjQo4b371588bevn0bnj+s4Bc8vre3Z19/\n/bX9wz/8Q6gIZ3AaM2oxStM0HM60WCyCzGh9g+eh8t8Mij1PMssYs15U3abOCBtG7g9ovV6HKmuA\nfiUPDCgVCoWgQzAPHDXj3/+f9JCR6Gc0z0pRc1lqTPgzL2f2KS9FWqoostBmzJNV4+39XseBv2P3\nQHvaLv//U0jbY/SOd4TrkuTu6EdvHrwx8ljVk1IABaU3nU5tPB5buVy20Whkm80m7AfXMO4uD3lX\nuM3ru8crumYP5Q+vTyA22uqNxO6/i6953rk/Xt+Ul1SR7+Itr31PFrOIjSHnjtUIZM0H98UDWl40\nypsjXi8AO+6TkhcFi4FR9pABuEBwTlAhrufA8xygfzgzmtNJus4eoPIMGfQwTvbz5Eb5JMsgZeml\nXb/lPun6eBQbJzteWcAyi1SOOXLl3fPnMMqPapD39/fN7G7C2VsCotQiE4/B+dCLJEmiISrvxYpC\nw7+c/8ACxJQULxJXrnqvWF7bY0y+r87DLkUdIxVYZij0H15lvV4PW4/q9frWPHC+mbeYecLrKWqN\nZHDf0/TuqDkY5/F4HLxHbPgHIR+NMSBXiyfN8NNmwDtYY9QKmH0MjyOsiD55RiUmfFkGDusPT0Mf\nmIIn84xGo3trv8sYx9IAnvGJ8Rfz+Y8llU+WU+2P9oXzyQgNI2yNw2E0WsTj0D54hV28HSsrh4y/\nESVrtVo2n8+t3W5bq9UK3raur4bX0ReEfvFglyRJtnQX2l2v19bv920+n9vp6and3t7emyOzu1A1\nwunYJsbeuDfHuwARfjcajez09NT6/f7WuQqx+WdgyvOoqRy0wdeqPHk6QsEvv2v/1UAq8Pdk+CFg\nEW1CvyACyob+56ZHNcj8nEk2MAjj8GcgRbUsfBrOfghSV0PgGdgshMfkKWPPw/YYKuZB7Ppd7G8d\n26f0XXPnXJiE7znM5+XIY3PmrV9MGLCW2PqWJIn1+31bLBbWaDTC499Q7IPrVWjwYo+Uc7I8XlUg\n2tesuc0atweuNPKAfqqXk3VfnUdvXnf19SFtPIS8drP6ktUvrIXm0rWPu+bEq1mIRdG8vjCI0hy/\n9sWTA+2LphPYyJrdnS7FJ8XxfT0dBQBdq9VCAZuOg42ZAhAdO5wjtM9gydNF2iddyyxdoHLm3ZOv\n30Wx/mStc1YbMf7Sdfb6m/X7x6InySFjouAh8z5BRUW43iva4AMSPFSeFcrmNmIGlUkXN/Zb72+P\nQb37xV64blcoPUaeQOFvCDjnz/Ggd+wFNrvb38dbRx4CYGLGI6ufaZoG5N/v98Mj0Li6/uLiwsbj\ncQgvwmtotVrWbrdDbg1hbt12BcXD4UgGhj+WYiBNi8zMbMsoewDBU56xuX2IQcziMY/ns8hT6lmG\n2APETGifQVVMhqA7smoXsjz1LP7DKWpch4DiLq6mh/HWKnXcX/P82OqHfuGaxWJhl5eX4fhfnFSo\nWw0x/qwdHD+FJpOJXV5e2mAwCGNTfojpELw/RDdlGd4swBQDBPg7dl/wxEPkKUYM1Lw50D4+JT2q\nQYaCh7cFRcgeD5+3rKSGOWaEPyWPtcsYZ6F8ZUa936caz9jvVAB+7MIriuQxQ9A5d1Yul0O7WnyG\n/O1Dxhlbg5iXgvZWq1VA7WZ329KKxY9Pc5nNZqHwDJXZ2D+Oz1Hhiv7xU6aQZoCB1GgL9/PHzHnM\nMPPccxX2rvCgN5+fYoy5T9q/H0Oekd1lmPX6GHCJAWPMh5cT9oyyhi61UE7vDR5D5ELz/NyvmIeM\ne3MBHniQ+wKHZDgchmersxfN99M5+lQAhT7FjNZ8PrfBYBC2iu3SYWwQdR35e51rNp6xz7IcJ/2t\n9oev4/H9VNDi8aM3/09tlB/VIOPxavwkDg5VewoExBOaJYze5z8XPZai8+75FOSBEfYCOIeuRQ0x\nwduFjnf1B++qlAEIkFfGcZfFYtFOTk6s1+vZixcvrNlshkf68RhByI/F8vtPQVlK7VNSJEpZnuhD\n+vTYlAW8PkUOfyxoyAIGD+2PB1Zj6ZksOfDaY29Nc958xGyWAeE2dwGfTyHe9pQ1HjXE+vlj0UPX\n3DPOIA8A/ti+xFITu+ix7c+jGuRer2dmZqPRKJzMBMPMYVBPgPhvRby7vIOHKITHNKAP8Rofeq+n\nJjXG6qGYbR9C4oXNvf+zlOFD+8PGEori6urKRqNRuL5UKtnr16/t4ODAXr58GULVCBfCQ0H/UJiR\nlaf8OSlL2T+UfozBwzuv1WPRT/FIdnllWQqY29Z+/BhAoB7prrXKMpbw1kFIAXERGkBnVlEev2fp\nuZgxj80ZUkT8/N4s0JH1mXf/p5CvmMf8U8FJrK0fA94fe9w/vvxyB/2pFOAueq79+rnpIYL2FG3u\nastTUruUuP79p1zjh3pV/1/o54xQ/V+jn2NuHtMgPWf6U/TPa/NTHZBPbjPNJSqnnHLKKaec/uT0\nZB5yTjnllFNOOeX0cMoNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRT\nTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck45\n5ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oN\nck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A8oNck455ZRTTjk9A/pfs5XGKUMJIhoA\nAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 12.0\n",
            "    J = 9.4748e-01\n",
            "    grad_norm = 8.2549e-02\n",
            "    penalty = 0.333\n",
            "    mode power = 31391.334\n",
            "    dip power = 32006.426\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (59 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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U1GM0zjLnwOu6TqeTvN0y8BW9z7J3WwR/+9vf2unpqf37v/+7PX/+/JZh9+35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\nBnkwGJjZ7Rwy22A8coW8N6A3k8iybOOWlU0CWYbuykKRUMR8fsHua6x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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 12.0\n",
            "    J = 9.4183e-01\n",
            "    grad_norm = 3.8975e-01\n",
            "    penalty = 0.331\n",
            "    mode power = 76294.427\n",
            "    dip power = 78258.805\n",
            "    coupling efficiency = 0.975\n",
            "Iteration = (60 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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puEsVPhQL7s0CAgGERQRhKZfLNp/PrVAo2Hw+D8U3sOwAyup9qiXnCbL3HhurRgI80MJL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\nkAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 12.0\n",
            "    J = 9.5113e-01\n",
            "    grad_norm = 1.0414e-01\n",
            "    penalty = 0.328\n",
            "    mode power = 23941.104\n",
            "    dip power = 24332.824\n",
            "    coupling efficiency = 0.984\n",
            "Iteration = (61 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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j//mf/2mvXr3KRBHy5Kl981R5VkDWUAgnSCCxCJsIcKfCI8LA4RAoe2gc7kQI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\nLqSQQgoppJBPQApALqSQQgoppJBPQP4fAfvU7aMXzegAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 13.0\n",
            "    J = 9.4807e-01\n",
            "    grad_norm = 1.5746e-01\n",
            "    penalty = 0.309\n",
            "    mode power = 8215.002\n",
            "    dip power = 8391.254\n",
            "    coupling efficiency = 0.979\n",
            "Iteration = (62 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ly5fRMLzSrmOzK30ShMxhKs49wlNvtVphULk6D9droQEGAMVNaZoGbx+TG+FT\nMwuoGZMHSo7XVWr4ShEWKIZeWWgVcXnePP8dQ896f1aabJiRi4XR9rxpFmA1SLsgZM9Aa/gKSER3\nusL1MMgYM7Qbz0RokXcUQ3gRhEgAxg5V90BWWIKieWevP8xrlS2u+EcIEbKrPEyS94i/0WjYZvN+\nx7ckSUI6haujdZyZpx4K4fN16cxjB0cjIPNe9CCLtE2xc/CbhqoVIXMaBI40woEYR6z/ZJTs9Zl5\nk4VQeU4rT706Ds859eZ9zGjHzvfG3ptrntMT0yGPkSLHWCjeM778mXVvdhR2QYoMzpAjx5z1EHts\nDsd4xjqJgRXIGwMFWZzW+1BHaJ+0V4OMSjt0BgobW9c1m82QL37+/LkdHR2F6k8eWJ7EUOSck8T3\n+I7fzjKZTAKCrNfrIXTNXi2EE6iB1yPCSEOxMdJlwwQHgRVTllf8mAIwuxcOVWh6DhArnsdhqVhO\ni9vB7Yk5BHwd522QT4UThY0hbm5ubDgcuhsiqFL0lprwlp7oO+4Bo4TxRP0ADChSF1Dkio5jChH9\nwtrPw8NDOz09DTkpXjMLgtGAQsFaR+yNOxgM7O3bt3Z9fe3Kgjo3SuzM4EUFqKUol8tbho8dWG+c\n8Vz8zbzEs2JKR51BnZ9AVUhX8JyAs4RUFWoQsJoBfISzc35+bq9fvw75TkQFdB0v85EdAd5gAmOK\naBrLUJLcL71jpw88x3cxhIwx4SPLgeC55d3PI69vmgbJIvABDqaibTXSGGNGjWqweT4BXEEPaNt5\njNSolctle/r0qTUajbBh0Xw+39KljzkEaoRxxNoVc7K4fdwvIO3xeLwzz/dJnyRkjcHmEAyUHhLp\njEJUMcUEQsMVZhYGoFKpBAWBsAVvFYhrePJ6hR5eiAt/a/s8AQbFPDIVWr6n9pdRD85Fv2MIOZYj\n8trxmOfteaI6DjBYs9nMqtXqlvJQ4wiC8OP6UqkUZIFD6+h/oVDYim7AqUL4GIqHFb7y1OsrO2Yc\nyeG2sHyyUYWsmb0PeSVJEl6ifn19/cCRivHUI1zHO6GxI4f+4H8YR70HG/cPQXVZcs3nqPEws610\nEjvXjIhhxLEOFTtcYTx5h7eYgWM+oa9aqMXj7hk6GAL+O4svMOxshGNOrY6l53zHfvdSW7Exi6FJ\nb74+Np6PfcdOD8+JrP6y7gISvbu721rx4T3nsX56+pLbpeTpXR4LNfKYv3p9lp7fB+3VILfbbTOz\nLWWN0PTTp0/DJgX9fj8Ud3E5f2wQFJma2dbie0aTm8390hQoAexqg4nEgsULzOE4oOAAbdLKYBZw\nHeiYEdSJ5k1idgZQ3Mb3MbMtw4Rz0RfdoIH5yv1m9P+YYlbec+U1PMtCoRByyvy2G24bJiOuw/0w\nMbFVKaMvHBg3XkMLw48wOJYgzWazLf5kIUCu0oRnjG0JUa2p8onCMkxYhNCr1ao9f/7cut1uMCww\nNMx/5osqD1Zgm80mpF6Qn0+SJESDcC7uyzKJTzgvo9EovCeZX6kZcwoZLXntYzmAU4LnYnwwP7UI\nD45TsVgMRZcvX760V69ehZ2m2DDHwskwpHBECoVCWIeK3DH4zls1ou3gHcsZ+MrLwphQ4Y+oBb/m\nkSMS2j5dqw/+KILnd5NjzLFzWZqmIT2HsfGMj0aJFBWrQ4gjy5nAPEMEMTanYlECbkur1bIkSUJu\nWwsNPVI74OklONRe7tdz5PjT67One/F3Vls/lvZqkFGUBQFgVIwdo7ggQAf4McOgA2F2H3pC5SvC\nz6wMYIA0XFcoFLaWROhOO55ny9cyWslCyd7gqresyNhT1jiXJz/osapMD2F53mKM76zsFSWnaRoK\nPKCUub2IQGDcMXHBfxSLsBHVnLQWCsHAbzabsFTJ7P1SOU9mvP5pYQgOhFnxW4xfGr7Hxg1YcrNe\nr206nT4Yb24f/vaQBoql4GAi9AveqUPGaBkGZ71+vzc5ViF4r6VUJMNt9IidCXaQVPb4HDZUaDuM\n2WAwsOFwuGWMFYF6/FelD8eKl05qWBuOHBwJlmX0QZ8LgrPPb2LTwi5tGzvhzFNF8LoHAgw0/uZx\nzZIZBQZZEbNdxhrEuiVG3F8GSBwlgUOmRWsfYuT4XHY+YzlktM37O3bOY+d+KvokCBmKDovIedE2\nlBVC1uzReGgtFjZR48wIjpdL8VaOagCBkqBEkXdhZcft0nug7awgNXyo18b6yKiRjYg6KxymVNTu\nLefCs9m4ec6GOggev9Uog998LpZD4XmFQiEsuUE+S5ECjCv3ndEFeMp9AfpL0zQ4fKVSKeT1dKKr\n44Sx5zoHOJCIlKB9rDj5nhyChcNRKBTs5OTEkiSx169f22Aw2EJMnhPG92e5gVIej8d2eXm59bID\nrmiOhSVxj5ubG5tMJsHofYhSVvljwwcnAPlZyBXGD0YOhVyM+NfrdaiWf/nypV1dXW0tf9JiNq9d\n6C9y/dgiFlEN9D9JkoCQze6jKsjJ44AziX3sMY9hhLHmnJ0bRYDKf5ZZz2GHEcbyH2z8gz2pK5XK\n1v7PZturWZTwLOXTroZZSfvAxbGa943pEx4/1h2Y71mIVMc8duziMOxCvKMZdBvk5tegvRpkhCPA\nbGz23W63rd/vhwprGGSgGrM4Qov9z+iABxioxuw+r8whPlyrggGjofvXom2e0cI5rCBV4GOes2eU\nYSS8ycvXa8gafeJiLlX0ECoNxWVNnpgxZuULHupYoLirWCyGNb06Ydgga7gJkx4KVcP9QCdmFqIw\nSZLYcDh8wDfuj/Jaq6u5yI+VhleUg3A9+ob3wj558sSq1WpYioV2P+Zc6jig75PJxK6urixN04DC\n4ZSpQeZ+YgwGg4GNx2ObTCZh+QtXpccMsWeM0V+8m1cjTugn+AanhZ3NQqEQDPF0OrWbmxubzWZb\nTqeXR/Z4BhnCcpxWq7WVZoATyjtDsSPBkSO0HwaQDTIMJC/PgkHWdoE0BwxSBA0jkCTv8+kwzNPp\nNLw4Ak4Oz0HWaXxfHpNdjXDsXtpWdmA8Q6rnK2JVXe0Bn10oyyh/DGEszO4dN33up6S9GmSgIxgF\nIA4u5kIBDivnrEH4EG8O5+MTg8M5ZhYINgiKLFVJspfIaInDMp5w8XWx8BsLkxot5RErDibtA9rC\nbYBh8SYeP8NzFvRT+az34RASv+5RJxHO4TAj7gmDC4cCOWRNU2DZFFCP522zguBKXH5jEW+mABlF\nm6GA4Ayxo4dPzkljNzk4hR6/lX/4X9uMrTpxoN9qkJmvUJ5AdlizPZ/Pg8FiZ8obb22jhvi53Ww8\nWc48I7LZbGw+n9u7d+/Ci2GQl+dzPD5xmyE32P1P32TGssPpKrSbNyLhUDZWaTQaDVutVsGZAf+A\ntlnOOQLk1S9APlim0DY4TkmShG1oYfzr9frWS1x47qvcmD3clYp5v4tR9mRAETKvFecx2+W+nqFX\n3fGYYfaMcVbfWJfz/6DVahUcQ36xBL8nWe/n/b0P2nvIGkq2WCyGvaqBkGGYofTU4DF9iHenxAqE\nFR7axQUA7BywZ58lkGpIoaA5hKPX8OEZdjyblQ2ewaQePfOKlzh4k57bjL9jxjhmlJXHjJTRbvBT\now+MOPl65juey5WwUOz43my7on+1WoV3nyLq4jk/jKi4gI8dRuQgOXWB5ytaA4KFLGMXOUSK8NIU\nhGK1LXoo74GesB0sNiCBAWCHRh1CGPLlchneTzsYDGw0GoVwsxYGskx4DhdkDCF+OEaMyrIIRnA+\nn9tkMrHvv//exuNxKKzkZXUqbzyHEVFJksRarZZ99dVXW+865vmMMQPK5Apv6AIci8UipLkgR/V6\n3UajUXjpgObioUMQNcBrXLmIEsSFUeAHjDE21RmPx2HlAMao3+/bZrMJMq6hXnbaOWSt4COmSz3j\n5wGK9XodNquBUeb7ebpc750FTmK2wHMUuC9euoDP1zbqd3hHMuYJO7+7IvZ90V4NMiaTroflohlW\nymbxMnR8xgzxY4MI4uvZw8bE5aKyLIFlr13RrTfosZyL5/1rn9FWbX+sX9w3FU5W7lBQuD42cWIT\nNIu4/2qQObevxsOLSDAPddLB+AOdKNoFIvVykLhW5VLXcXMlLkcamM+eQmAFiDXKBwcHNp/Pw6vd\nPJ6pMdQxhtLm9yMzAvUMMq5B1S5QKOfmPePLCov5jN/V6fOQoH7iQJuQh0WlMsuCRnCUR2gLxg57\nP7OT4Cl0OHKQf85xo/hzvV6HCAuiELw1KqND8ImjIjDIeK0k9CHGy+MZfuN10oVCIaxBx4HqfjgR\nGBsNC3PUhAFDzGAxj7zfWH/wGHprxHch1o2eYdbnesQyofYk6xrverP3KYnz8/MQseHCR88WZfHx\nY2nvIWsIKULWQCDIHaMalz08VZqs2D2F8Rj6VM8R10JR1ut163Q64Xn86RlXrdBEoYoXgkW7oEC9\nqkxdbgHicFzMOeDr9FzOgbMXrcieFcKHCNZjTpAaZShuftsUG2VvEvKB/iGXw8qHET8rtH6/HxAY\ncnz8DBhK7KsOdIy6Bih13YLP2wBCN5ngqus0Te3Zs2dWKBTs4uLC/vu//zugZFZkkEv8re1NkiSE\nnSuVSnjXLTs9rHR5fiyXyy2EPJ1Ot8JxZhaW0oDYEdRcH6rZ8RYiTTup8eX5idzcfD636+trm81m\nNhqNQjiW28Dyi2dw+gNh6qOjo/DuYJYRrk6GA6NLqDy51WdxtARggosYUQwKvYf9FYrFYpA/HJiv\nPFaQ4zRNt5ajwSnAsqparWbz+dwODw9DlAB8gvyDh9iciaOBvKe1Gmadf+rE6xjO53Mbj8chUgB+\nxYy5OtkYEyyD45fEqIHG2Og4saPBBYbaHyUdZ9x7NBrZv/3bv9mrV6/sp59+CsWGcOB5qSbfR9u3\nD9r7xiA6kRkxePlN75MpZphwvhpob8JpOJUNHwyiFkJ4z8ry6Dx0zAKdlUPO6i97vzHykJqiFg8h\nx4RJJ6s6TFkRCb6HhxrVIHOeGO3zPFM9dCx5L2CEEtXhMdvel5uRsSJfNTY6kbMO3AuVv9jv+zF+\n43pVSFBkXH3MCMEzyAgv8pG1rlfljj9Z+fHuT2qM2TDovGRFjDW2WlSlssX8hP7Axi2dTscODg6s\nXq9bu922YrEYCrdY5kHcDm6Xyjk/cz6fW6lU2nqVI3YVhP4AL7i2Act6sIwL6BrP0AgWxgvjbGah\nVgDFXdVqdSscruk4fJo91HOe7mViGfA+mZ8YR462eKCJ781/K4jKCl2rMdY5o/ouppO8eQddg2WB\nNzc3dn19HVYAeHKoR+zeH0OfZB0ye2eqACEYHL5lIwHyOm/mDyoW/iMhr4LCa0p5Wz19pkc8sbnw\nA54TCG1i7w+hQn6/JqMHdSA4IsA5Um6jGnsQI1JGUDrhcY9YTukxZ8Q7YpOI0wO8VyyeAzQTc6Tw\nbJUJKBUvh3l0dBTe/zqbzcLv6C+QMYwlqqoRspzNZuE1eIoWuA2qEFQBcuUv6iZYyfFk5/Cip1jS\nNA0vE0HlNtoDxcw7nHG+b7lc2mAwsMlkEqpH8TuK0bgd7FRzfyqVSngH9pMnT8I6a9wLKAc5Whg+\nKHBskoKKcaCjmCyhPZBp7H98enoa3hL34sWL0MY0TcPLZFAoho1HoBOgfKEv2LggV8/PB0I+PDwM\nyzYPDw/DywzK5XKIqEC2oYfG47G9fPnSJpOJ/fDDDzaZTGwwGNhsNguOlc7nJElCWBqvncWLcYbD\nYdhquFgshudzlI6dIER5ms2mLRaLUPAGVAu5ihlPvR8jZOTUR6PRVr5dr/X0NtbE48A4QH4eAytw\nzniJItIUkEfvOv0/SRIbjUb28uVLe/nypb1+/douLi6CQfb0muesf9YGGUZECwm83KaZLxCeUcbf\nfI1OZN5m0EPIGn5jBKrP5fZ43n4svBJzFjhUjXNiguflJx8bdDUQamjZYGHi83VqlGP93+Xw7svV\nuezEgD9Z4Wuvn9xfzSM3Gg0zu9/fW1EDV1VrVSwMCHjE7XpsAsbaxkhcI0N8P2+s+TytxuUqXxhA\nGCbIIJxBHFwxqg6QyhDn0vEWLlQzI/UEuYbxRTv5vjFHFa/N9GSO24PxRY622+3a8fGxHR8f28nJ\niZnZ1rznPDuvR1eEhxAxeMO7vGH85/P5Ayce6Jdz2JVKxXq9njWbzcAPFOFhl7TBYBDaiHAoz0vO\n6bOxRuqvVCqFgj7seKbzmOcNO8P6GkaV4SwDiN85HYBxBGLnVJJeq89hJ4i3SfX0iN6PZVRD8J5M\nZ7UnTd+nCS4vL8Me6tiPXvV6rC2xfn4M7dUgc24jVt3nGVauSIQwmfn5XDXGbPgwEb1S9RgxY2MI\nTScNIwJWOLw8BWE5CC63CwPuhUbM7h0IRoNeu3VCek4PlAsXKTCfdWz4HDbizOsYSla+8eSBUsfr\n4cALREv4Os8BYkdG+QDDl6ZpeEnF9fX1lnHgfBqUKBQVh895fbPKhOcIepOXjQkUd7PZNDPbMkTc\nNo648Jiz0WVZBJrDszyEDMPHMsg8ZtQPIwzEAacFhrjVatmLFy8CEiwUCsGQAb0jj89zEXyFweMt\nJxmJe444h8lPTk6s2+3ab37zG/v666+t2Wxat9sNBg5FWogCABzAuIGn4Ae2EYUixtxlBwwvwMBS\nKg5Nn5ycWKPRCBuRQJbYyXz27Jl1u127vb210WhklUrFLi4uQsU7o0KWObSbc6yLxcK+++476/f7\nYbcrfVMez2EgaBhv9K9YLNr5+Xl0nTcTO++QH+xZPxwO7eLiIryKlNvOso37oIZgOByGdfG6Tarq\nQ9V9cE54PNjJz0LI3J7xeGzj8dh++ukn+8tf/mLv3r0L1e3ahhgoUD27L9r76xd5kmlOThVNLCwA\n8tCbGvJYTiKL2ACqkfLOY8Okz1I0zIVcvO1hDE0rAkO7OLqgxMaSz+dD+cwhfP5dDbI6P97B6QZW\n7B7BWLBRhpfNEz7WXi8srm2HMTF7/6IHKHIgEbP7qlysWWbkyn1mhIxnxPixa7ug1CEjOnaMqL3x\n8fjD/GOEjDZBocNoQgb5HtxmjiAgFIvQ/dHRkXU6HXvx4kVYxoXwPhCvmW29dlLrBLg9UL6e3HG/\n0Z56vW79ft+Ojo7syy+/tG+//TbcH+FZ8JW3F4Uhg4FEG+EcTKfToJx5hyY8P03TEPaFI5em74uq\nDg4OrN1uh73PQegrHAK8khMGCHqD93tnXQbiqmscr169sslkYk+fPt0qxuMaAugNRIBub2+tVCrZ\ndDq10Whky+UyRD9ishCTNzh5KJq8ubkJ4XXPsQKhX6iwR9QADmNMd6teBOKH08gHeP+Y7jczm81m\ndnFxYa9fv7bvv/8+bEwT2+MdxIDp/4RBjoUpPIohZA+t6fmMnLBQHyEoz8OKeW67DB4/20NuQMec\nM0a+jJebsJH1+MZt5gH38ooIEbHyeMywQnmz0AMlx1A4G0WtZo85QWxg2Bgy4jKzwBNvfLxneo4A\njzWj8TRNA5LAxIdRRDs41457asFKrD0aHfGQMvOhWq3a8fFxeGe3FrJxrhYOreeIwoHQtnlOQ9YY\nqczAceCKYux61el07MmTJ2EvATg6MDqs3LGaoFAohPwtZBfzhAvTeLcwlQPwAe9QR4gaLzHBuev1\nemu3tyRJwh7n2JwFbUWkCGiRETvGkJ+P8QWqTpJka626FoZiDHA9nDHsIndwcBB0BbZUxQ5lbJDV\naQcvzs/Pbblc2tu3by1NUzs6OgoOgm5kgzmN1QKnp6dWLpet0WjY9fW13dzcBAPNTrXnAKKPcBAQ\nYbi8vLRCoRD6oGvAWd6Qf764uAhV/7zjmUbaWKaLxeJWiomX0XJqilG26pM0va9kf/funb169crO\nz89tOBzaZDKJLuOCXuD5GQM/+6C9GmSlGOzHd6zozOLI0DPGmNjYQYe9c88weUp/F+/Gmxxos1aO\nwhCj8AFeF3b/weR4LAwdQ0ueoDHfYiFrs/twu9l21bln1PUZmg/nvLjmgHBfRvH8+s16vf7AAVN+\nM6pig8whf3zyWEIpF4tFOzk5CesLN5tNyH3CKdD1i1DgQJSQJbRJ+85htiyjXCi8Xz7zxRdf2Hg8\ntuvr67A1I87hQjA4FZ5TBSWEJUv8LHbS0F5toyo7ljfcG/nhXq9n3W7XDg4O7Msvv7RWq2UnJydW\nqVRC8SQiDninLQwbCpvYIHP0iOepOh88luVyOWy/+/z5c/vyyy/DUidNGazX65Br5dQSHCA4DkDq\nQGpwmplgaNnZns/nZmbW7XZDmBqGgA0yGzYgt16vZ/V6PSzPms/ndnl5uSXPLENmtiVnXDtwc3Nj\nR0dHWw5PtVoN4w8ZgrMJh6bb7dqLFy/s+PjYptOpnZ2d2Y8//mjj8XjruTHnHr9D1w0GA3v9+rVt\nNu/ftIbf1clC/5BXf/PmjZ2dndn19bVNJpMgS2wHeO4kSRIKJHkXPS4SRbTAqyFiu4Glfz///LP9\n7W9/s7dv39rl5eVWG5QQHUAah3nLy9f2RXs1yJq7zcqz6e9m90hRka0iVEw0DglDgD2E5pGGpmLI\nOQu96Zo6XqMH75vDcxpW4ucrYokZLM/79JwOj2+svEEI+3mOgoaNNU0QCydDOeB3r8/aJ6/dKj9s\niHEe/838401qdOmdGmN+FgzHdDoNyAPKXRGnHh6v0T9eXuUZH6BUfPL4436cL9MwnXffLGJeQblw\nzhsODF4MA2eKDR6WmAGloo1AbZz7ZhToyTzarXxBMRf2wcd48HWY69wPXt3B0RCeu1wvwHyJRbIg\nVyie85Aljz/aiPbUarWwVhnLmPh8T54gk4g6FItFG41GVqvV7ODgIOynoBEf5Q3aWK1W7ejoyFar\nVXhV6GQy2ULKKks858C7xWJhk8kkHJBxvd7Mts6/ubkJIWLe8cxzCng82WnlgyM0PK46dxBNRXU4\nXrSihWX8fJB+r+3aJ+3VIKOkfr1eh8byzjZMrOA5fMnGCBNaDQI2zMeWgljnh8IOVrwx48ZGiAcj\nZsR50gChoK+z2cxubm5sMBjYTz/9FApFWDA4x6UICMQoVxGytjGGbnUyqdGCAoJ36aEmECYK7xIF\nAWav1jNGaZqGohg2MtoX9cR5AuEZSEWoY+eNFeQGe1tj4nFltW76wV41yxlCzahsRagTfwN9cbRA\njTPaAwXMXjV+ZyMIo8hODO6Ht1oBpWhumM/1HEnmEcsZHA/k11utlvX7fTs5ObHnz5/b7373u60t\nHwuFQpizuN7MQigbCJSda4wnR0e8kB+3s1QqWa/Xs6OjI3v69GnInarM4B6QMSzD4ShBtVoNIUuk\nlVBVzTyBYeG24TlYbgNEynpAHQuOFmE8+/2+lctlu7q6sm63uyXXnP5iHkGmoEtub2/txx9/tOFw\nGFAjlujBWeMlk+qstdtt+8Mf/mDHx8f2v//7v9ZsNu2nn36ywWAQRZjcL4TuGSG/efPGOp2ObTab\n4LSxXkWI/uLiwr777jt7+/bt1q5YnGpkvc91H5gfcGiwjItfUgRghKWB7HSvViu7uLiw8/Nze/ny\nZdgAJIaOPUcRMqLLePdJnwQhw4PU/JUqUA9RQIA4rMreIhdPacEKHAHOu3oGRwVOFXwMYShCxnPh\nefHr2eAkwDFgPqhCAXm5Yw/1aB/wHd/L83DVqHlojv/2UOAu6FB/Q99UJnaRC0ULsbYqYTIiXA6l\nyEqcJ6GOK8KYUISPIWRurydTbIA0WuAhAc8gQxHgb3ZelH9wOD0Z8Q42zmygofTgRG42m4CEOOoA\n5MwbV+g81LkYG3M2Zvx8XbKj448x9ZAyO/eKyJg3Oj7eGCpI8NJK3DbIPufoUcfA48WyxHxiIACk\nzC+6qFarAYxwBEIP9BHRj16vZ7PZzM7OzqJ95rFRUMT1MnBaUVjIUQRF00DknFJROWV+q2wyQmaU\nirnARXzo82azCe3wagfUYcWnfu+1aZ+017tNJhMzu1/GAU8PFaY6yPD82FM0u1eCUEwITcPznk6n\nYZE9NjzA4GNdHAYsFuNnz1iF1iMMNq7j6seLiwv7+9//bpPJxN68ebPVHkxA8AGeX9Zyj1ixQMyY\nq1LVaznXi2tgWPh6nZDstQMRAhXGEDI7HXCW4FUiagCFou1ifkAB4VksH7HJ4xmZJ0+ehO00p9Pp\nVrgabYWcqkze3t6GMKmuW4VTiHbiOkY7HlJGYRfOBYJiJY08OMtBmqbWbret0+ls5bp5xytWSHge\n3wfoG/OKc2FQdnhJAkLV3W5360US6CfmKT8XyBmGFIaZ53ua3m+JqvLPvEPeF8gYb5LDszwjzwgG\nc69Wq4WivlKpFAwJeIR2cMpA0xk893Ho9bE5hN/NLMx/oH4gdMgS5JCdcuYN0Nz19bXd3t6G4qwk\nef8iE+g/gBrmPXiE3xqNhv3xj3+0p0+f2s3NjY3H4/AcdfJ4jiEygvdqF4tFe/XqlY1Go7CrGXiN\n8RwOh/bjjz/axcWFvXr1yi4uLmwwGIQoCpwI6Hx1pBC5aTabYbtbbO6DuhA4zYgeaZTx7u7Ozs/P\n7aeffrLz8/NQP+AtdWJ5Av9Yvvgtcbyvwj5orwYZIRwoGkwADkmwB+l5Xizk+IQXxQoRHo73XlIN\nmcQQGP7W70A6IDgHkxEFISjWQe4YQguBVTTGytAzyDwZ1VvWSa/t1UNRFHuM3pjwpyLjxxCiRjLY\ngTG7X1vJuzRxVEXHJ4bAdUy8yAA+UfyRpmkIZWUhGn5ukiShAIvrFLhvWWjZkyd4+PwMzeOqwQRB\nEQD5m22vjQevMf8Y7bFcPYaSsbyE93DG+HB7PWTPilTbnyXLXoQhSZJQDMiIi8/35oC2i9uihYga\nNdG5w8/yZIQde88o69hvNpvg9CBlpGhbo2P8TDMLS5c4fQLnB/dQ/cq6wOw+HWD2/n3iXN/wmE7Q\nYrfJZGLFYjFsNQpAhHkym81sOByGoirkj3UcOMTOfOD8Mb9ERmWTnSXcC+O6Wq0CgOO3VWXpfdUv\nOk94ydW+aK93Q5iPPfti8f3r97DrDZjISESREBgAIRmNRmG7trdv39pisbCrq6vgDXFFLIQcOUAz\ne2AgYVQ9UiMJYmWL9qJNNzc3YZkTFDeeB+8LyBg8QJHHY44Dh1PYk2QjD2UDoWVFGAvPAd1BsFVx\ngkcYJ636xPWeEcK1cJyGw2HYpIDRNjsKXHEKhwGTnzcxYOKJ4oX4eWKzwtHx9VBBmqYhJFcqlcIr\nJJUXjIzRTs95YQPDOWdVNoyQNXSNwiagPFR/cugP9ywUClsbZsAgaHFZzDA3Gg07PDwM+UnlOx9A\n3kBoMDpAyzGnM2aMOT8PxwAyxYpbD24/xpyVN9Yr8/uMGZVxxTcbJm4fj78aEe2XKnTwCVtwvnv3\nzo0S8ZizXoD8Y9whn7wMjeck80NBBcZ4vV7b8fGxPXv2zN6+fRutusb1upJlOp3acDi0NE3DJyI9\nmCOXl5d2dnZmV1dXwSjz8j+egwwWMIaMkNvtdqhz4E1b0EfoJsgl+o/NWa6ursKrNLmgDMRpD3xy\nTh96HNEX3Tb0Y+mTFHWxZ8OV0IxkGV1AKHlhttl9HnA8HttgMAi7w+DtN7zwnyc98l3wGjF5EF5Q\n5RubQDgXn2grDC/ahbeD8ADrpDazIGCYmHjnqSJMzyNnhaMoUD03ncx6P0wsFnomVkBs0LNQsraX\nc/0IFyvCZCPrhaP5uV4f0H+ePOrUKE88/nE7FLEMBgNLksROTk7C1ojKA+7LY0gZ4w60jnniIUx2\nrhC6g8zgrUIwuPw32qIhaw7jZSG5JEm2NsTIOs9D9wg3w/DreMXGgHUDr1WGsfdy5R6PuW3KUy6+\nw7nMI+2rGmSNGnH64zGUzOPYarVCcZjqohhCZmeXHVudU54joboIY3x3d2edTsd6vZ5dXV09MOg6\nn1hfJ0kSiqiwnAsOGUdHsY/3cDjcciD43uowMC84pYOduni3Lq4tgOzwmMAgAyHz6pfH5Af34N+0\nzmKf9ElC1jxJkefCG2+waB9Gmtcm8mbwzKR3797Z+fl5eGUbwg/r9Xprj14MKBiJbfQ848FeD9qs\njNccDgQJ+YfhcLj1KjJ2OBiVQAnDy8OL1NUgs7JgD56VBxN7+Kx8ONyt6IMNe5qmQYF6DgAbHO/I\nMsich0NYi/upBtnje8wgq2LH83gCoh2garVqBwcHW/1jR0gPjAOiPqPRKOxIhDFBuzyDHDPQ6iBo\nyFSdNoSPscGEGmTMF96UA/3T0LGiL5YjdbrAU54DMVKHUHOA/DydVyqnZrZlbHjva6+yVZUpP0ND\ni4iOwXnTgi+NEnlyzU4lK2y+1jNkfA47O4wMVR7YWVG5ZeDiGWGdL57BAw9QL/Dzzz8/qHhmOWXe\ncYic9QUOTg9wlEijdUrabkbJMMRYIcL7c/OcZ+cac5ULgT1k7IEclm0+NKq1T9o7QjbbrhYul8u2\nWCxsNBqZ2ft8RZqmW/vgwpjhTRuoUMZgvn792l69erVV/MBvUGIPE4aWlanm+1QoYdTUIPMnnon9\nWLGxADwuDoMxDzBwKNnHjkfeK+wgMHAmFD3qBOW2c8GOKgNvEptZiB6oQVbDqagghg6ZeFLMZrMt\nReMZcRAX4uG+3jNUgTHPWcnh/tgK8vb2NoTlVMFx3yBn2IUIOTLOSavDkGWQwS82WoxW1YDweGJ3\nqGazGXaeQt4vTd+HeIFIONdaLpfDd2qY2ZnR/iMsmWWQ1THyDKBWtnsRCh5/Vta8th+oSgtoPATJ\nv3lRB/SX+cvjgHux/LHB0ZA19A3kD/1Q/cG/453SLEcqB54uijl5uxzMJ25PuVwOL+yoVqtBh7Px\nYceD0bNXP+EZZG85oM57HkM1yNCf/GIThMU1Rcc6gscBOW9+77TqQ+a1Rt14HkB24Cjvkz4JQuYw\nG+9khbCGmW0VZGl+EkgU5fEIdQANMILhSk8zC+EJfCbJ+3ypF1piZnOujX/DfdfrdXhhBAzxbDZ7\nsB4U5zNiYKXAoQ7kChkN41mK4MwehnVV2WFC4BwP9ahxB9/hPOA++vysya7tAnF/OK+uxlCvwWQA\nqWetkRAeqxhqYIXLXrtnjBkFIbTGLyzn6lXlgxp5T4FijsAYcN9VMbNTx+cjzQAFys6UV1jlIXLu\ng/YdkS3UZHgKnmU2q/0a8VDitjOP4JiyrtC+xOTOQzUaro+lMrL6q04qG1Se+9w35RHXB+A+2jZt\ni6JVbyyVn48ZZBDkC3MT7eR55fWJCwB5f2kt9MPSQ9gAjp7FSOeuV6SXNX7q7HkOc0xf8f+PyTjP\n333QJyvq4oo/vAP19vY2hG55cwV4LVgWg6T769evw64uQCpm93kCoAM2NqxYeIu1zWYTyuERQsbf\nQPI8wTUshmUG0+nU3rx5Y8PhcMtb9qID7Enxmk7kj1qtVli/h3vgTS4w1PiEwcf9ubgCggnnBs/n\nEDgvxVIDgpwflmXw96xE9Vo+mBQdsEMEIY8pPbQfBtxrB088jBl772zQ+TvwBJEYNdC8kQSiNEij\ngEecHuHqTuUnK2+NKqRpGl7goPl7Nmaa7kBl7nq9tkajEWQC/FVEq7sZcQgZ/EO7eI1ruVwOxYqF\nQsGOj493GnNuuz4bc0hlhOcY+Mx8HY/HNhwOw6YanjJU5cvP4PAioylUAysiVSeco17QNzzPWB70\nHjGkWyqVwtpqyARveeldY7YNdDTKwvOSEa1nkNXIQ75Uvj2nFsSh5FarZe12O2zSAeMM/mOjmc1m\nE3K/iM4peXKmc8F7nWSWU8Jjqc4U983rI+6hKQkGW/ukvd6NQ13oBOeCUGmL3DIrQFaK+B5VhN7e\nwjxwqgxZuSZJEnaX4VyDell8T0bSeN5qtQrFSUDGmmNlg+N56SANaYJY2UDQcF81TJzTwTlclQtl\n4Qkh2sD35z4rT7V9+Bu8ySK0nSMTnjFWPnAaIobMYigm6ztEWTgiogjZM6JwACGfLDfaTu+ZqgQY\n4TAfGWV5aJOVARxHLajKQhAqi+rIop1cya2hcI/HKiPcTu2nhsFjY8YImSvJ2TGLIS3lnTorMX5w\nm7htLMeqdzSapopd26XRA0X8j6FHry7AI8/gcN+UF17/+Rw+V8GGGkl2lrBH+nw+D0VZ8/k86kjF\n5o0nx944xnQSz7mY7OrYPSYf+6ZPhpCT5P7VYZvNxq6urmy5XFq9Xg/oA4oOkx5reDlUfXNzE84F\nQ9lYQJmoVwWExcsw4MFh0wLdopAnloZB5/O5vXnzxgaDQdj2zVM0XJWqnjwUHe+hyh4evPFC4f2m\n8Ag/bjabB0tY0E+8ZHuz2YRiMUYlbISYoMyRh0zTdCtkjfbqZPDCn/w7j4cidTbI6qHy0iY1cmgH\ne+/4TQ1czNDjWrz4Y71eh+VevEUnFxgifQLDAKeHEQDaw21mOWQEqjsTcSjXQyLqoDEiQrqDlxbx\neGw2m/AiCt4MRGUWDhnQK+bieDy2i4sLM3v/QgUoX8xrrx4DbfYiQ7w0RXnGfdc8/nA4tGq1auPx\neAshA5mwIVPC3OOXE7C88tyLtUWdWEXIaJMXRue+8ifCvOCN6gGVJ5blJLmvgIc+0/qXmOMUc4Z3\nMS4qi3gBSb/ft+PjY+t0OtbpdLYQMNoMHdxoNOz58+chCsjV4dx2FJbxsj62AZAxlufHnBgzC5EA\npD9Vbj1jzLKE9qmzvk/6JAhZQzWMkLFBOhjCYV9d4+ntcwryPGoWXA7zQrmytwwFwaEdDXfieygH\nfq0i8tTsCcY8LxCjDwgVEA0jWhYwCAKUGfMAhg79Qwk+DLkqF7QT57BhZ6TNCoh5/xiq4LEB6fOY\n1/wMdqQ4lMhjys4Sj7mOv/cd/gfPWB40f8qKQqMYXLSiyEP7rl6+Z8C8djLvvBwZOx+YS/y5S+5Y\n2xdDyDh4TNSB4PZ6yHSXvKE3blkImRVqlkFhBc5tyEJWsTms4+m1GX9rX1W5e7zx2uPdH/rLi4J4\nPFFjzPeLGWZvrLh9WvkMhKy1DphzSFO2222bz+fBodRns35gmdTIiPfpjRcTLzX16LE+s1zG5vLH\n0ifZOpM9QeQKsHl5pVIJe5+qMkTxBt6VCXSCe6pS4k+zeP5huVxaofB+c/d2u721iB4eH9qrArFY\nLGwwGARkjPdnwnuDd8pox/O40b8kScI2c7xBA67lfHihUAgoDgKJ97hi9xsuKJtOp8Hx0ZwtSJ+n\naICRA9oPPkOJqFeoikirV9m7Z56woYUhRj4dSot31IFT4XmyarzBP60vQPU6DK/Z/RaQvCEFcu66\nEYIaA/AUbWKHTp1DNvjMM1Y+OLhgRhUIDAx4zTxhpwMIWVMZOl/QPjMLr1IcDod2dXVlhULBut2u\n1Wo163a7W20Bb5UXQI6bzWarZgKyE5Mf/h+8H4/HVqlUbDweh3uALyyTnpOI38vl9+8BxjaL/FIV\nlV8+2BkGb3kjo1g+MkasFxFpaTQaQR5iDgHLW6FQCMuUUKnNqzW8/ihvNbqIvfi5wlpD4jjQ7k6n\nY1988YUdHR3Z4eGhNZtNazabWxE63AsrSprNpv3xj3+0q6urrVcvcv9ZthE1nUwmNhqNrNPpbEWY\nmKePIeRCoWAvXrywWq1mf/nLX+zs7CxzvBQQmd1v6QxQiZfB7JP2apD5Pa9m9yGjUqkUNkKYTqch\nnIZJq3lf5I4xUB4qiw0AK0MgPhhChHewi4yZBQQOw6de2HK5DDuF8bZvjGQ59xOb6DAC6J+XW1O0\nioIIhK2hEHh9Jpfww5ghBKaoiCeaFqOwEuI+Mb+9cVBF5OUvPWWlRpkRMqIPhUJhq4o+prg9L1/v\nz8hYnQB8B96iHbgWsszjpG3xnB8dVw9xq4LUSIDmPvEsfJeFkGPoyxsHoH4YHDh+0+nUJpNJiMDw\nUiZvTBSR8p6/MfnhT/4eDjFWNzBShqHlsVFipapFXfpcjyeM9HUsPUPMR0w/gXfgD0L7ulpE5w23\nh9/trc73LnzlPnIUQp1Pjc6wA1Sv18O7obngUBEyy3CxWLSnT5+GZV9IIbDTzjyCjvJ0nTfOuI8X\nKUiSxPr9vhWLRfvhhx92MsY8ZmYW5ohGcPdJnwQhszeHgcHaz1qtFpAywqpQVtjneDQahY0/NPfF\nKICNNZ6LZ7NwYwDx3k4YZ301IBsSKPDRaGRv374NrwrzBlG9WZ6sXpEZqr3RFvQF54InUJBs3Fg5\ncaU6jAgQLk8CnlyxF24o+sV9WHlBQXJFPHa9wTNR4KFI7DFEoqFTvM0G7dC2qiOhiosdM3jbvAkN\njI4WbmGM2QsHPzzlpKiTUTTLg4bBNSriFZJ5B88ts+03q/Fc0vChppGY/2if2fb638lkYpVKJURi\nMGc4R8jjycYYu2vhncqNRiMYHp5HMWcbfESaaDqdhoIgpGa4SDOWT4T8YIUD2s/88oyUGlvImpfO\n4IiMZwhVXsA75LaBTDlCpvMFSBOGsN/vB0TKTpI3vvqdOr8vX760v/3tb6FmgHUI6xFE7Gq1mnU6\nHTs5ObFer/fAOeD0AIOyUqlkz58/t1arZQcHB9ZsNsN9ec6wIwVEir2wocMBWHalJEnCahvIJssg\nn+f9zQRdMpvNdn7+rrRXgzydTs3s3hiysRuPx7Zer7eKGFjRIkwIgwyj5SkUNrQxIWQlBbQDBhYK\n74umYPBxHodpkDsbDod2dnYWDJHZwyUOMcOgyA+KSL1uNggczkySJKBFTDp+8xVvScpeo3ql4CMr\ncZ3AjPKB/s1sazMGdpoQbkIhHgyxt7RmF4PMxmS9Xod9ZxEq5fahvd59vPua3W8MwAYZURjOU0EW\nmC/sgStSgAECqUxqvzwUxE4b6gr4XE/xq3KHc6tr3nVzDn4u2ouxBZ9QL8EG+e7uzprNpq1Wq7Bc\nC3xQfpndr5OGQcY1mI8qCyDmHQxyuVwOBhnFTJBNRbwqJxgfGHMYMPRZHQLlNxPGio0yDIPKnuol\ndoohL7yMR51xbROMoWeQGbRwG9SZAE9ZHpfLpb18+dL+3//7f3ZzcxPaintq6BpthkHG2HKoWq9B\nX8D7TqcT2s+OaSzyBJuAXRERWVWnTmVbCYg8tpkH30O/Y0L60duE6WPpk1RZg7nsGQHtYGMQDbWw\nQQKz4eVjYD0PVtExe736ySgJ4XXslsOGCF4Zllwp4odHl4U4NPyMiWx2n4vANVpUhPuw948wHYes\ndckYt5NzPuAdJguPEQuzeqicK1utVuFdpvzaPx4vdj5QO6B8VX4p7/SAo+blCtUY4D4cAsPvHGbi\nwkHug3rp3F41dIoeQIiuqHwo6tLvmc9eMYt3vYe8OP+szmyM/8pv5JQ5NQInFbxAX/k+aAufgx3q\nENbkNATLX6x92g5Eh3AfOCGePDB/1EnxxsJz5Phe7DyrAfWu8doBpxovWNBlQhxZYb6USiXrdrvW\nbret3W6HvLzqUTXknqMK3oOnnJbg9sSMKsaSq7z1PDWS+K1ardpqtQrFYJiHHB1AW3E9InOz2cwG\ng4EVi8VQG/EhBpHROqdL0Ub+5DFXuYRew8qLfdJeDTLeqQmhRec3m03wsiuVii2Xy61QCyYS8hkY\nGLx6DYPJv6vxMHsocDx50jQNxrVcLoeQOL8FhkOP8/k8vMgag4KJz7ltfi4mLIwQG1kOLWsOjtdg\na1U58t+YILgflBP+5n6yJ47JhfFg46yeM56JfqGf2L5wMpnY5eVlUNisiBjlQ1BRlMe5PkUwPHZq\nnDabTUDhhUIhFPVopCSmeFgWgfpQIc8b0nChCPinh6635LdkQZly0RLuwwiZDRHLtKY0+FMrvyH3\nHBLE/zBOCFnrHPMIbcF9MX5QgJVKJSwT04JIjp6w0UmS+3d+dzodS5L37wDudruh8FALmfge7CCi\n3gLLnhghKypjR43vBbnnimB2dHQee+gYv6sjBwdIQ9xevzAfB4NB2GQIcoU5g7mEdrAhOz09tV6v\nZ8fHx3ZwcPDAKGuaiHUMz3PMX2y6cnNzY1dXVyEcjZQD8w5j22g0rNvtWq/Xs16vt7XMiY2yEr7H\nHuxwKliXALCA92gz9Ob19bWdnZ3ZZrOxb775JoSedyXMUyx/gk7gcdK/vb4gygY9v0/aq0FG41jQ\noWx4QxAwBkqL/4fh4B2KQFBoZn6YQg/1XPn7LOSBc3kioV2ssPFsvvdj7WDexBA1vtP+JUnyYFmO\nHtxuFmw4E57SyPpUJaTPUmSF9sF5gAxonjVGygszC3l0rxo+CyGrMXyMd0zaXk0D6MHnalFbjLes\nzDWiot/xoYqD0ZceXnqCHb6Y7CrfEF1A5AN9VCeOeQDDDEcGhgdtY6PHsq6RBShtOLUsi5DzmA7g\nezI6eiyvztfyb954xAwxP5tlKE3TrX0FmJc8h/Ebcs1Y6wtkyjlbL8qgcwH8BDo+Ozuzy8vLkMpj\n2WXnivuBHeY4PaXP1Od7sopx0DoAdmRVDlarVXCquTqb759loPHsdrttp6enNhqNtlby8Hk69kys\n8zj9sg/6JOuQwRRMmkKhYMPhcGu3Lt3ZhY1cs9k0M7MnT55Yr9cLzMdrF7m6jRUnKzTPIDP60sIM\nHUgIDAwSUDTagvuxguXnwxh5y12AgNjgAQ0yijJ7WEwEnnLYmF/Gwdex0JvZ1uYOWSFDbRdv8J/F\nO+Y90KO+sYhzU9w/EPqG/iVJEvbAhWPBoSzO34EwFmb3G13wGnLkkjGxOcSsqAAHb90HpAVvnyMn\nzH+EVlUpYjLjmXBeeHMOs/sX0ev7fJk0h8rGlFF8zPjw3EEfGCWXy+Xwpi6skKjVamHu6Viqcm23\n21apVAJCTtPUBoOB65yqIkZko1B4v/1uqVQKL9gwswd7KON63SgDY1qpVMI2jzzurLeYf2psWDYB\nLOCcIDLBY6HGGPKDYlHwF/1gPvAcrtVqdnR0ZP/0T/9kBwcH9uTJk8AHfne2Z5TVWcHYXl5e2r/8\ny7/Yq1ev7OLiYisCxPLC41koFKzT6djp6an1+/2twlhF5/w3yz7kBakMzG0GD4qQ0Z/5fG4XFxdW\nKpVsNBpZoVCwVqu1dQ6PueoF9Ok3v/mNdTod+9vf/mb/+q//uhV6jjmGSnCqPusqa887AYPhXcPL\nVeQAgYUXhhATlB48GSCKmNcf85JjbVV0ge8wITnk6+VU+NmKzBRx4B6KQL3zFVHheWoQ+X8YBC/0\nwsZS789t5++8ELL+hu84TwzlAMOC3aR4zNT7VnnxHCVWeF5UQ2UB18QQsiIdzYky39n4cI6WDRL4\nzCkQT0nG5CQLFXvywffldnqOhTdPPIXjtYNTKhw698ZAxxTKll+oorKg/WDiNnANwGNrgb12QcfA\niMUc0SyZikUyYvPWk6E0TbeWTmo0A0YZR6lUCsVxXpha9RG3WSMH4OVyubSrqyu7vLwMzoVniPWe\nQOsYx5gM4doYTzR6kyUD+A4OGr8pUCOJ2gbvPo1Gww4PD63dbruRO2/OesTOw75ovztjR2i9Xodi\nIFQ3I5/M6xSB5jqdjlWr1VBWj2UP2EYNQqpKNIaQzbYnBcJAKFDAxgEsIKgmhiMARwJOhdk9mjDb\nRufosyp/bdNjCsD7ZASDXAZvZsECAh5BIaJdHl/4ucxLDfFyBAC/gz/gLTx/jHGapsEjVi9cJz7n\n2/GGJbQby11g7DxDAEL7gfRQE6ATmlGt2T2yU6+eQ69wFOEsctUulCCcSMg0G0k1hhpVYaRcLpe3\nqum5IJDHT50CIGQu+vFkDEoTPFADCH4Vi8WtN7VxwSYrMk+h12q1sMVimqZWrVYDWsOzNVKDdnFF\nfLFYtMlkYvV63ZIkCbqkUqkEZx3j5aUcSqWS9fv9sKySt0xF3z0jrogdeqFQuH+zHK/75xQceMzO\nwN3dnQ0GA5tOp1vhW/QZjmep9P5dxUdHR3Z8fGzPnj2zTqdjzWbzweY7HkhgJxsysVwuQ+4Ylctc\nfa5ruxU4NZtNOz4+tlar5dZz6BxkB5p5jMiPF7JWQw5C3rter9u7d+9stVrZyclJpvHEvfgcFBei\nD54e8kCN93/Msf2l9KsYZBZ6VBYyA7ggoVAohGIu7P7C4VwODXkeoeetgtQbxUTQcKp6zAhdw8AB\nIcHDjSFLD93gvF3I8/hj+c+sXCgj/pgDwO3iSRxDHx5KwPNgXBDSQx0A57xgqHnC4Nlenhrt8VA+\nj6/yTotwdAtGLubiseR7siOn1bpskBFJgYHQvdK9I0tuHkuvcH8VWTGS12fpmMciFBp9iUUYYmiQ\nDSs2s4ATg3bGjDEIz+AcMueRMQ9xr9j8h57BnvZAyZ4hi5HKZowX+nyVoc1mE9JNip61HqFer9vB\nwUHYZRBObVYRldcXjOt6vd6qVr+7uwtvnmI9HOMJcsgIsceMkYfO+VCEzO2OETvY0+k0vJOAr9cx\n9+QbTqSu3459em2LPfNj6VcxyAjRbDab4GWz18RFMOXy+xdmt1qtkCfh1xJyONBDx3rg/piQECgs\nHzg8PAzr+3hSM6Oxfg2fXNWsRhkGA9+rwTJ7iEo1T8OCzAbD658qTDX+bJBxL1YArAQYHeI8HkM1\nyKyUGOmA50CIUMh3d3fWaDSCZ8pr0dEmRWf4n19LifNZKakjBX5gzbTu9KRVy7iOPwuFQgizMoLg\nFwPAueAxw3eLxSL0m5fa4Jl8DfhZKBS2qqy9Smt2SrjADW3nkLrmUz3lwePKO9dhfLHEhD85B+uh\nSlXu3W7XTk9P7e7uLihSDjnGjDLGXyMd5XI56BJEFLJyuEnyPpVycHBgi8XCrq+vwzp01Cro3FGj\n5NU36JvkGCGzbsD1eB62jmTjxHMHz/7iiy/sT3/6k7VaLev1elFHwnNmeHwhN1dXV/aXv/zFzs/P\nzcy21hB7SBEGDbxhg+yROgH4xDir884RFdWRnlMFGcWrQRGhfMwo8//gb71et16vF5bl6vO9v3f5\n/2PoVzPICE/pmlIwFeENFG5gdx/eHUjXf7LQZCFSs/uBKJVKoXqbhRw5EQ5jcoGSmW0hZRgHFSRW\nriyAMS+KJxJ70IwestATo1RW1rg3IxFPcXrojfvjjaWiKM0rot0oSioUClvvWkYUBPdjPvA9OTwP\nxcwhNXUseGLgHlyEwwaO+YfnqzLmMCNkj40yvuc3fEGBFYvFUI0KPuiyDjY6bJA9VOqlP5hv7FRp\nBTg7ed54qiODz1g7vDyyyjJXpCdJEnZnGo1GVqlUtqqtPaQMYoTMu4jBUUcUBnzD/PHmV7H4frlN\nr9cLSJN3rvN0huoYdhaRvsInZN2b+6wXsMuT7h3Nz8LYHR8f229/+9vQVm6bUswY87NHo5F99913\ndnNzExxlTavofdiwQt55UyeVJY02eREgzC91KvDpRXLweXd3Z6PRKOy4lmUgtS3Mb2zhyYBRr/+U\nxtejX8UgM/EER7gJQqthQQ0neIKiqC3LICNvUavVrNVqWaPR2FpHxwpelRpXUqJ9QDI8kSAAPCm5\nDSyITHwPs+39U70+x3jAvNB8KNqm/ePJyNfH2qoGGYoKChx8Qa4xSZIQoobgs6et+WBWfugHt8ML\nH8MgYexhjGNGmNGq8l7HRQ0/h6whU9q+crkc8l0c4UHbOd/M46h89Rwvlm+0DUocaEhD1sxblTml\n2JzyQujePGNFC8PcbDat3+/b9fV1cFI47ZOF7thJ47C1GuRYJIrb0mw2rdPpWKvVslarFXLTGh3i\nvoA0dF4o3L+4hnUIVgRgPJCrfvv2rd3d3dn5+XlYD49nah4V+gkvkUCEJSanLEv6Pbd9MpnY69ev\nw1bGnIfW/nrPgvyrXogZY9YpGEuWXU+/e/fSZ6EOxDOiHkL2jGy/37d//ud/tqurK/uv//qvB+kr\nPT/2/z7pVzXIEM4kuY/f876yUFaMWM0eokge8Jiy8Lx2FOY0m03r9XphUiI3DGUGT5A3WUjTNEwK\nNgJqyKBgkB9SBMGKHeQJIwuaKm1PuL0IgaJAs4e71bBB5mfg3JgTwffnClhsUcnGDtsfoqAEyqzV\naoUtFfm+uDeq8Tn8aWZbxpj7wDzh4hvNOzLC85wbT+bUCYAslUqlkO4AH7HxxGw2s1arZavVKnzH\n8h5DEEDKuyBktBXIkB1HXuepipZlzSMvHQIUyO1heWSZUX51Oh17+vSpDYdDq9VqYcMPL4/oIVMU\nDWJ3KaQhEOIHMs2ab6XS+92uNpuN9Xo9m0wm4a1pLLPMV9Y3kEmEONM0DWFzTh2gLfiEXPz973+3\ni4sLe/nyZShy1fAtjsPDw1DIdXh4aEmS2Gw2e+CQZTlYfA7SNzc3N/bdd9/ZfD63fr//YE12FlAA\nP3CNypFnQPk7lnN9hj47ZuDN3oMULMVkwKJIOybj+P/p06fW7/ft559/tu+//95ms9kDB+T/NEL2\nFKsyX5WPCpaH9nY91GP3vF1FViwM7LXpZFbkzIpH+4a/PW9QD+UNPOTHUIPnJXOfPcHi9nvoEo4A\nxowLZrwJw/3UEDaUAJ7LFdfI2W82G+t0OiEMzLzCfdkp8yIXbHDQbk8OWEbQxlgqgcdex0vlgXkI\neYIiRp6ZQ956X29csxyumFyh3dpOVowqF7vIlrZF56wnix7PsKKBQ6Qef2PEjlrsyGqL2X3kAlEy\n3eDCkwHVDzFHhUPWvCMfo2/eoYs3tmCjAblGzr3X623Nz5jcPMY7OBOcc+U+8jzj65gfyhc+J2ZA\n+e+YvHjkGVUeB/Bd+bfrfeHEIiXqpR+9tmR9tw/aq0HGIm3N++iAqECr54/rOTekCNCbGFpApYoK\n+Q8cHGpU4VRUhDBrmr5HyigwU/TBfQQvQJrXw/M0fAnDiL91AsQU4mOOCAQQyqjZbAajguuAatmw\nejl7NcSsmLCBCMYeyztms5lVq9XwOst+v29Jcl9coflz3qErSZKtZXK8QQd4iYIZL5yKMcESGlbi\niv5hQHiiqhMAhIx1mZAtlgUUD63X67BaAKFrr6BMEXIsfxvbXB99AFJGW1U2cY0aXiZtD9cKeHNW\nFa06wCjke/funbVarbA0jgs0Wf48IwgZY5QMA4jx59Cu8qZQeL/143q9toODg7Cn9PX1ddjbnvvA\n4Vn8xsuwNpv3m6XAyEG+oBsQzh4Oh7Zer+2HH36wV69ehcI09AvPSpIkyNS3335rf/7zn4MDA5nQ\ncfTGUscxTVNbLBZhMxIsH1RHMYYs2SBiPGMI2bsWMqlphccAivaP5dtDyB9KXFOkaS/tB7flU9Je\nDTIQEDMdSo/RjtlDw8LfecY3Zohiv+kgsoJQ9MAUQ7LqLev/3C+vf1nXeghnF9SwC/F9PHQMnqDN\nOI+vVUSn/d1lbDabTTDQs9ksKBp91y4jnV0QMuf+s/jI5BmQLJQX+z7WJlzDBWEsczGE/Bg/sxCp\nyljsOd7c8OixMY0ZYm4T8wupqNh2j55s8bhk6QbVEVnjyWkxfZ2kPt/joToqvLyP1+KzUwCHld+n\nDiPu6SikQfCWsyxd4I2l51zBWWUHKMZ/NbAeH5U8B8Fz+rJkhvmvjqPKhzfmu5DyKqbfvGd67dw3\n7dUgd7tdM9veXABoCS9p8IpMVMC5ijFN0wf712phiVfsAuRjti3ouqA+JiS4xgtXx6pYtU8qkHyf\n2DUaskZbskjPw3P5eUCVWN+NZWUc7mVHitGG8gHtfcx54r7BS8cmJsgnr1bvX+eHF5fjXOSAVUk1\nGo1w4JV6aAcjQlQ+Y6mTlydXj17Hn//W8WB5gEzxm2+SJAl8RoSAnSIobc8hVb5qMRojU7SJx8WL\nwuA37u8upPMzNvdijgLaAMOHsLXuhYxzWd7UCGq9AjZOwfhq/QiPHf6GkwSU3ul0rN1u22w2Cyka\nEOsL8Jejf2YWlkAmSRKiQqh9QH+Qo37z5o1dXV094A//DUeh1+vZyclJQPEfYnTAMz4mk4m9ffvW\nBoNBmCOxFArPBc/JxfkxeYoZY69deu+s/vDvqnO0TbsSnguAkqYP34XO535q2jtCNrufQJhsCLWp\noYl5T7EJ7+XRPISs91Tv2PN6PfIQh+dd8rlZ9/Huie+8ezwmpFnkGQ8oGD5YcaAgTfupzsNjKCbm\ntWL8oLCSJAnKCgYWxX4c1lWHind1Y8PGbWej5DmBWRM3a0z1Ny+94TmAOu5ZYxtDp54j4bUp6xmq\nLB9TgtwenWscNs8iOCJm5i5dzJItjyePIeSs8cU4IeXAy9e0zSz73E7MFRhwdhS4D9B9w+EwbGaB\nMLZnCNE+VO7X6/UHYx3jb+wcdnDxyseYEcanhw53katYW/ieMfnF4V2n7eB+qYzuQt49Y+Ph0S8x\n/LvSXg1yu902s/uiGuR7YIy9/K5ONPWC4Xl6eWQOhz/meXmGJos8w5hlmJVUQDyBZlRj9vC1cR9L\nbCTgeQNlYutHtA0RDeTBzO5z3rtMRM8b9gjCDJQ8GAy2ir2gsN+9e2fj8TgoqGq1Gt4H2+12w8vZ\ngeJ5YxT8DcSB/CC/GORDKGssVCaYR4hMcJg2S/5iSmYXo5zVtl9Cev9dnQSvDfx3oVB4tKgLBgTj\nx8/Pihxk8QYGAbuo6TaovPsV2uJFwLgdbIQRzWPwAefz3bt3NpvNwtuFeEMcjojxfI2l934pzWYz\nu7i4sOFwGHU01Cjz37s4kjHa1WHX53lt0PuCzx/DL4w1VhBwDjmrP5+C9mqQ4dHhADLgnX2wJg/k\neb5eBWXMI34sdwRSjxffZVHMiH4I2nnsfvhenYiPJTUUussUkAGIQ31cXKV9xr2ZYsZYx4K9YMgC\ncmqQFyij4XBo8/k87DGOcCdedt9oNLaWpqGfMMS8RA1OhRfS/Fgec7/YycL3XIW9qwfOvMsyfOrw\naVuynCj97kOcrQ91DtQoe44e/x7LT3tGOWaMvX5gPHijoVieP8vRMnu4mQvvh62AZDgc2mw2s/l8\nvvWWOswFNnheuP4xed3ld7QDy7RizpCOGctKTAfwOWpE9e8so+wZY22P17ese+56H89R1j78GvRJ\ncsj8Wip4HPAgsxiLzyykoOf+o2hfA/QxnqfXHm9iaFiVP3Eu55KzjO/HECsdLYKCoZzNZmENL7bM\nPD09tYODAzs+Pg7vhEWOWB0G3lfay9Xvm7LGLss4/pI27YIwPiVlzbtd5+Qu/PAUcux5/P8ubfCM\nrWeIs9qX5aCwk8DLolA74TkP2net09jHeOuyJ32ufrerIful9Ji+i/FbaV9zQZ3pfxTt1SAfHByY\nmYUF90mSBETMBtnzxD3BVgSc9f0vGZRdr91F4X4I7arEP+R+/OndS40gDrPtrRxjYfNYmz6U/9oW\nKEOkKgaDQXhhutn74qwvvvjCDg8P7dmzZ9ZqtcJyJK4xwH3gCCL89CGo9EMphiq0r4+hkV0oywh6\n7dpnn3d1hj/EKD8WqYr14bG27IKQ+PleXcmuRtkzwmb3b1TTncU0vP4YX/S8X6LncA0KbJEGVH5o\n/7K++1DiKIBSTNdwP3dx0D6GVO/9I2mvBpkZt4+B/BT0ObXlH0WPGZLHzv+Y5z727JiiekxxZD0j\np/8btC9H5dd69ofSpzAq/5f6/zH0ObVPHbN9ti1J/5Fx35xyyimnnHLKyczM/vFB85xyyimnnHLK\nKTfIOeWUU0455fQ5UG6Qc8opp5xyyukzoNwg55RTTjnllNNnQLlBzimnnHLKKafPgHKDnFNOOeWU\nU06fAeUGOaeccsopp5w+A8oNck455ZRTTjl9BpQb5JxyyimnnHL6DCg3yDnllFNOOeX0GVBukHPK\nKaeccsrpM6DcIOeUU0455ZTTZ0C5Qc4pp5xyyimnz4Byg5xTTjnllFNOnwHlBjmnnHLKKaecPgPK\nDXJOOeWUU045fQaUG+Sccsopp5xy+gwoN8g55ZRTTjnl9BnQ/wez6FHYiw70NgAAAABJRU5ErkJg\ngg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 13.0\n",
            "    J = 9.4126e-01\n",
            "    grad_norm = 2.2533e-01\n",
            "    penalty = 0.307\n",
            "    mode power = 7798.941\n",
            "    dip power = 8024.197\n",
            "    coupling efficiency = 0.972\n",
            "Iteration = (63 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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uOfIA7IMObJOuNS+SPf/rNe122/7xH//RLi8v7U9/+pO9fPkymYb3dF9n6b70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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 13.0\n",
            "    J = 9.5221e-01\n",
            "    grad_norm = 1.6412e-01\n",
            "    penalty = 0.304\n",
            "    mode power = 10705.064\n",
            "    dip power = 10894.683\n",
            "    coupling efficiency = 0.983\n",
            "Iteration = (64 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Diti8VEPMjo0+U5f4eQ67GuSYged5xsvaYnppFxUKhbBferPZDCk+5MvL5XIm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\nZ0C5Qc4pp5xyyimnz4D+LwxDbzw/WqqLAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 13.0\n",
            "    J = 9.5325e-01\n",
            "    grad_norm = 6.0898e-02\n",
            "    penalty = 0.301\n",
            "    mode power = 28331.966\n",
            "    dip power = 28810.357\n",
            "    coupling efficiency = 0.983\n",
            "Iteration = (65 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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UROVUZQDtBLAiL+9FPJSwlKxcLtvXX39tnU7H3r59a+PxOERrOJqiqUZth6fr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\nqKCCCiroE6D/B2gSCzYnArtuAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 13.0\n",
            "    J = 9.4628e-01\n",
            "    grad_norm = 4.0561e-01\n",
            "    penalty = 0.299\n",
            "    mode power = 81034.465\n",
            "    dip power = 83013.711\n",
            "    coupling efficiency = 0.976\n",
            "Iteration = (66 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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rDAhEx+Nxmh8avEVpQu/4IkfJ+7rezRzDHrHZ1WqVCrTQCX8TQLAE4B+64AHS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\nH6KgDeufWe46AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 14.0\n",
            "    J = 9.4575e-01\n",
            "    grad_norm = 3.2084e-01\n",
            "    penalty = 0.282\n",
            "    mode power = 19989.570\n",
            "    dip power = 20523.795\n",
            "    coupling efficiency = 0.974\n",
            "Iteration = (67 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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kFfv0U7c6+bXnQdA7IkiSJCGEqcWL29blQ5zk2PdjayYLRGPX8zbSb20DSB8C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\nyk27L3fZAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 14.0\n",
            "    J = 9.5336e-01\n",
            "    grad_norm = 1.4801e-01\n",
            "    penalty = 0.280\n",
            "    mode power = 16612.344\n",
            "    dip power = 16928.156\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (68 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Re2JZt+awd2VncRyH89KbzWZI8amd0x0aXtqC7dJ5VqdB8/0E5aeEFetxHOOL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\nIYUUUshHIAUgF1JIIYUUUshHIP8HILwGwWJTk+MAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 14.0\n",
            "    J = 9.4567e-01\n",
            "    grad_norm = 3.0256e-01\n",
            "    penalty = 0.277\n",
            "    mode power = 20717.463\n",
            "    dip power = 21283.432\n",
            "    coupling efficiency = 0.973\n",
            "Iteration = (69 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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SXfHGTx1MHbsYcGv/dD7Zbqh1D+iDrhOAgloGCgTZ2uef1hQTv6Z0HKmm1uJF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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 14.0\n",
            "    J = 9.5832e-01\n",
            "    grad_norm = 1.2265e-01\n",
            "    penalty = 0.274\n",
            "    mode power = 28308.840\n",
            "    dip power = 28717.668\n",
            "    coupling efficiency = 0.986\n",
            "Iteration = (70 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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QPfiMjC6gkCI0qre17mG1evtADF0nuhUKJ04qgMjHtsK5aD3pGtQIh1/TUaTK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\nG7UXCmLps7a9XC7b3t6effXVVzYYDOzw8DAVysFQt4WtaTv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kOrW6f5sz9joQATKvG5pb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\nLrnk8hFI7pBzySWXXHLJ5SOQ/wuPcr0HOkYOogAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 14.0\n",
            "    J = 9.5064e-01\n",
            "    grad_norm = 2.3618e-01\n",
            "    penalty = 0.272\n",
            "    mode power = 53504.638\n",
            "    dip power = 54717.863\n",
            "    coupling efficiency = 0.978\n",
            "Iteration = (71 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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0OWhFxdpW//KEU8iafp4LOibC4duvCt3MQjiVpX2aW0wZZT+PlI+VSiU4+Op0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\nAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 15.0\n",
            "    J = 9.5897e-01\n",
            "    grad_norm = 1.1757e-01\n",
            "    penalty = 0.259\n",
            "    mode power = 57507.422\n",
            "    dip power = 58389.977\n",
            "    coupling efficiency = 0.985\n",
            "Iteration = (72 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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2Go3S9YsyH1HaWX/XLW9kA1RGql8+godXGtDRvMLxm955KCpWPYwcshIyZpwE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\ndMgllVRSSSWV9BnQ/wdubXB7u1V7FwAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 15.0\n",
            "    J = 9.5485e-01\n",
            "    grad_norm = 2.2342e-01\n",
            "    penalty = 0.257\n",
            "    mode power = 52085.003\n",
            "    dip power = 53115.672\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (73 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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9lIc6OTlJMqVj0Gg0UhFPo9FIBTSDwcC+/fbbtD2r2V1awM+RKASrv+NEsse4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\nAvT/AJQhifXmVATvAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 15.0\n",
            "    J = 9.5972e-01\n",
            "    grad_norm = 1.3436e-01\n",
            "    penalty = 0.255\n",
            "    mode power = 30666.387\n",
            "    dip power = 31125.539\n",
            "    coupling efficiency = 0.985\n",
            "Iteration = (74 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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5yEF1i58+j6f6nwcIWgzJARAAL2CcprfP08aZ5rnG/kAcX5eQB5p+DfE50l7Y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\niShUq1WbTqeWpmlIO+kjGbk/vys7TtPUer1eeNLWcDg0M7O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NRP13Y+2O/S+vD3n38ZEi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\nFFLIJyD/H3voGDbkIHtgAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 15.0\n",
            "    J = 9.6006e-01\n",
            "    grad_norm = 1.6465e-01\n",
            "    penalty = 0.254\n",
            "    mode power = 28415.311\n",
            "    dip power = 28835.992\n",
            "    coupling efficiency = 0.985\n",
            "Iteration = (75 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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pnm+VLTO7I58aLWCMnDiFo+OVvSIBdTS9M+H5RzEkJx9p9ftqtQrverhHmqYh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\nAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 15.0\n",
            "    J = 9.5651e-01\n",
            "    grad_norm = 1.8701e-01\n",
            "    penalty = 0.252\n",
            "    mode power = 44835.278\n",
            "    dip power = 45670.129\n",
            "    coupling efficiency = 0.982\n",
            "Iteration = (76 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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yGDox5ay5am9AqhwqUQzJzkda/b7ZbILckKvjHs1mM/Cm9/FRj23A6Q1L5R0P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\nlANyTjnllFNOOX0E9P8AuuJ5wFLLrvYAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 16.0\n",
            "    J = 9.6197e-01\n",
            "    grad_norm = 3.7146e-02\n",
            "    penalty = 0.241\n",
            "    mode power = 39260.429\n",
            "    dip power = 39813.836\n",
            "    coupling efficiency = 0.986\n",
            "Iteration = (77 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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/CV/qkYK6Z9kjZNZbzIlQYmzsUtB6DiqAiSzonnV4yL3os25x2mWY/fpS1M3v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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 16.0\n",
            "    J = 9.5658e-01\n",
            "    grad_norm = 1.8358e-01\n",
            "    penalty = 0.239\n",
            "    mode power = 54897.302\n",
            "    dip power = 55987.762\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (78 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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eam/bHCR9Y5eC1nPAjglk/GlNjUbjRn8BdV+XkOVQfWBpdu1/CKSUWWqmRYOr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\nXHL5DCQH5FxyySWXXHL5DOT/A69jORuN3ghNAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 16.0\n",
            "    J = 9.6049e-01\n",
            "    grad_norm = 2.1517e-01\n",
            "    penalty = 0.238\n",
            "    mode power = 74340.396\n",
            "    dip power = 75530.219\n",
            "    coupling efficiency = 0.984\n",
            "Iteration = (79 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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cPts4Flkxsw295ne9Zz6fD8y4VqttsD+/vjRsGGNOHliIQhWLxRC1wMlar9dB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\nieL6zLU+DN47Y347EO++GM/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LYa1SCMZTnCiWKhaLIc+IXulao98xx8jMQmV3v9+3Z8+e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\n/wBhmF4m2r/I+gAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 16.0\n",
            "    J = 9.6269e-01\n",
            "    grad_norm = 9.0773e-02\n",
            "    penalty = 0.235\n",
            "    mode power = 29286.055\n",
            "    dip power = 29695.393\n",
            "    coupling efficiency = 0.986\n",
            "Iteration = (80 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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9ft9+/PFH6/f7GzKQtv84ZpCRKYzcZDIJaRk1Vuq5I9eKWIlscD8iDhzXqSkQ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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 16.0\n",
            "    J = 9.5864e-01\n",
            "    grad_norm = 1.5802e-01\n",
            "    penalty = 0.233\n",
            "    mode power = 21789.253\n",
            "    dip power = 22190.566\n",
            "    coupling efficiency = 0.982\n",
            "Iteration = (81 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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O00hazMFIC22n8ewvoXs1yJ6pnnSAalDSBEI9IV5amOKVpHqpZrfCpAsXREuV43w+t2Kx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\nAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 17.0\n",
            "    J = 9.5906e-01\n",
            "    grad_norm = 1.4991e-01\n",
            "    penalty = 0.222\n",
            "    mode power = 24998.311\n",
            "    dip power = 25474.828\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (82 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wMb7IZy6XCzlRlkxpCkRRkvIthpz0eURZmHtELZBDxn25XIbzlM0s1I7EiLYr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\nyiijz4D+H1LWdmlD9lT8AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 17.0\n",
            "    J = 9.5866e-01\n",
            "    grad_norm = 2.7292e-01\n",
            "    penalty = 0.220\n",
            "    mode power = 83470.653\n",
            "    dip power = 85119.992\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (83 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Rdbi8vDQzs8FgYK9evbLhcLj2HJ9n9siP6/RvxmU6nYZiMpUf2qNRDf2t1hng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\n/x9vUdGoDaW4ygAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 17.0\n",
            "    J = 9.5643e-01\n",
            "    grad_norm = 2.9625e-01\n",
            "    penalty = 0.217\n",
            "    mode power = 43940.506\n",
            "    dip power = 44921.684\n",
            "    coupling efficiency = 0.978\n",
            "Iteration = (84 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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T6Al0oEs5KADqdrvWbreD989mDPCJwiDkZzAYmJnZcDgMG13oc3yeOaZ81GCr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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 17.0\n",
            "    J = 9.5449e-01\n",
            "    grad_norm = 2.7986e-01\n",
            "    penalty = 0.215\n",
            "    mode power = 26020.569\n",
            "    dip power = 26660.217\n",
            "    coupling efficiency = 0.976\n",
            "Iteration = (85 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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3b96E41m5l88zx+ZW+6SGbj6fh7SMOk/qufu0DA4Q6zGXy4U58w4oSFoRsncC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\nAvT/AcjAr5HtUlz3AAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 17.0\n",
            "    J = 9.5983e-01\n",
            "    grad_norm = 1.7246e-01\n",
            "    penalty = 0.213\n",
            "    mode power = 25213.187\n",
            "    dip power = 25697.502\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (86 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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mvV4vTFaKzFD+3J+dnfr9figQubm5iSoRzz81jigrjDBVra1WK3j/9Bc+aV5y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\noP8L/efZN5cn7PgAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 18.0\n",
            "    J = 9.6083e-01\n",
            "    grad_norm = 1.9436e-01\n",
            "    penalty = 0.205\n",
            "    mode power = 39548.374\n",
            "    dip power = 40300.621\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (87 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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OwhYA1AOpnp0NQatWq+FgCbZ9+BA7ILhYLDaeGU2ByHg8jhqRGKDwd4yVgvDe\n3p61Wi17/vz5ht6hQ+TQ2F97dXVl6/XaRqORvXr1KhybyL18njlmfLRNCnTT6TQUsimQkE7ge6pD\nEC0VwFGrn73XiG7wc8xz0iIgcqREqTiKlnHV+YdY5XK5jUiNF08Ut5FaXVOMMf3BltBvJYA3Nzfh\nMxj09w078n2NRJHumE6nIRrg59jfx9tI5kfTVA8FPa7HU8WoVlf7xnzQZ08M7wM+bCdRztj62jZe\n9XrdvvzyS2u323Z8fGxXV1fhHIj7POQUcfHFZv7574y9vvs2NxoN+93vfmdXV1f2+9//3r777rs7\nwL6tb48pHwWQlZlraIHcC+Ed9laigL5znrUxIYAr4LxaraxWq4WiBQ790MUIcy4UCsEbSnnIMSMe\nA079v7bXyzYmHmOmLILYImYxaThQ2x3Lu3mjEMtZx8S3JxY2qlarG6DOotJqa35n0dEeQnaaQ9NT\nxCBe6gmqcWW7Gsw4xvj5OeaJKvHQww7IuaO7XBeQUUN8c3NjzWbTzCwcFqHHBcZ0JOWB6GdVd3V8\nU/OX8qCZj5jxTI1V6vP++t5DNrOw7gBD5oWwP+tX7wUAaxoiRVp9O1K6rHqoJJQtcwA/L09stkkK\ntFLrzrd9230eElF7SLvULqSK4mI/bwMYXS+eVGr7Y98ze2e72MGRSidsu3eqn2qTUgTGrw+d71wu\ndyeikLLxfP4+m/+h8qiAXK/XzewWkLW0n4T7l19+ad1uN2zk5kSfVKjY7G54MZe7PbvU7NZrbDQa\nNhqNgqHEQ2aB+3aRNwRY/IQoC48purL4WJ7vvsXF5304mHvHQl0UdymD04MXNHSmBS1q5AEXLZKK\ntVH7q3kbxr9YLIbDAS4vL0PuHg9ZD6hfrVbhAQgYSBZ3pVIJR3pSeMS9FJD1qUnsVaUAjMNCYrlc\n7Rt9Yiwp4KrX69btdkOlP4WF9Ff3BXPN+XxulUolPAKQrRO9Xs+Gw+G9+gzp8sLYcd46Jx+Ro9W0\nAESTa6q+bhMPxuop6e+q00qKONCEIy6JZHH8LHUe8/k8EBV0AWPMNrvhcGjX19chP0/OU8fckxEF\nWH3+s44pupjP58O2NfZh53K3kTjarpGvh0osRaSerZLBbS8NqWu/3me/vupYqk1K3L2HrLqRIowa\nsn5fKZVK9vTp07CzptFohAhbDJRpV4w0qG0iHI799hIjdt4WcC2cRl2/sXFOgfWPlUcFZCaJAdbt\nN5zwQnm+hlJS+RaV2ESYWZgAip4oPPKHxysgo1SxfZSqGA8BU/8zEgPTVH98vzCyqWsA2PTdM+EY\nU9eFr973fSx82yJYr9fhJCOK7vSYPB/NIAdFOwAVQsM+auEBeb1+FwKmfmBnZyeAoh75+ZA54TM+\nD0Ub/CEWLEIlTnpIhJmFKM1oNLozjkoI7vNG+Kw/jlG9OZ8n9ukQH2F5qMcV80R8u3z7CoVC2BIG\nGcNDhmACzqQvGEszC2cKs5/cn8qVigCkPGj9DGPmQ9Z6XKyGcR9qXGPkKpWfjY1/7H/aZx+632YX\nU3/f1rbYZ+/zUNWB8J5ozFbF7kNIPXagSuz+njj69vAz63jbmuLdt89f532J2X3k933kUQF5d3fX\nzG4Bgo349XrdXrx4YY1GI2xx6nQ6YYuLgrFfiCrKaDCY6/U6GE0mhAVI8ZPf1oNB1eIPTuch70pY\ni+vpBMUmLWZw+bsXVWxfhEGbvffEzyxSFJr20JdY/gnDpMY7ZfA88Ov11YOHSAG4HGxAfliL6XzR\nGAVZXFurQyno4n5qrIgOmFlIVZi921epJMyPue+bepHKrgmdQw40IoMe8NnFYmG1Ws3y+XwoSPzs\ns8+s1WoF71a3Lfn92uiyttWH9znjeTgchq1VzLvux9ZxQs81pUElqwe82Hynxs7P52q1CuQDT44a\nAd7xlHWbC/UeFPDl83l79eqVvXnzxo6Pj8Oxi2xp9If1+DA5/YAUkvOnv1TA0xZ0d71eb+TmCWWT\n/kpFL7w++eiR97R1vNR+AEb0R59EVyqVwolbkB3VxZSgZ+TUY6Q/BXDb+mlmG7YyBZ7elsSAG9tJ\n/Y53yLZJqj+spVjIehsp3UbkYkTwp5BHBWQqb7UAAI+40+lYo9HY2F+nE+xBITVoCmbKsvG8lstl\nCKdiRBlcXxnJ930FqA9ZM0G0R42pB+KUeMPnGay2y19bv4/RUOPJeGyr8lTDoOMda5+2U/vr88hm\nt1ERfeqQGk+zW6Dh/9fX1xtkgv2YWoimXriSByIvsG2ec42R9aASY8Y6bjp2jD8v9ZDpg+qIFi2Z\nvdveoeROgTg2Z5648bMSDU4Gw7vUeghIFuPIPGGQAVDd0xyr2o7NeUx3dQ1wXX2KlRJjiBb6yu9m\n7061Wi6X1mg0LJ/PW7/ft/Pzc7u6ugrPFKadun49kfTnDACK9F3rDfDgqcrnczrH2w6X0XHw46Vr\nwq89xs3nzZUcqxdPXYQ/0tfsNhq4TR7iTW/zRFN91bW/7d4KZOoQ+L5jc7cB/PsI87DNQ05hSgqw\n/f+0Dx9LHhWQO53Ou4v+X2Co1+vheankkLcd4fhQJuIBjUUFE4Z1ee8MBfDFOjB2BQE1ABom1NyQ\nGlNV2FgeUxeDMrr1+rZqXO+nXg/3gHDoZ7gmfdAiNQVez5pV+baFxWJMVPOfWoynixUDo940n6Nw\nCikWi8kzhumrzgOGyR8/aGZJffK5VSVR6uEwfgrIfJ/ro0OQQLwyAObo6MjMzC4uLuzk5GRj/HWc\nVSc8UcIDXa/XdnV1ZW/evAlHJ2qBFNXrzD0h7mKxGO4JyJHb1oP9Y/PudVtBkDHAS2cvKZES7s3v\nRKogFlQiFwoF+/bbb225XNrXX39t5+fn9vbt2wDKerSnruGU1wlB4xGFRAWoLWBnAvrDvGlBGSSn\nXq/ber2+A4DcV2sJNNWhKRc87likTK/DI1U5tINdA5yrQASGiIgCWAxEY1XqPwbwvJ3QHRrbPqsk\nNHb/+4qw/Jjdd68P7RuCPvEEQGyb2e2xxalrPCZIPyogt9vtDa+Tpw01m03b39+3er1uzWZz4/Qo\nsw8bXAVjM9sAZPUylZkSzsWQc28Wsy4gvhcL73JvRL2VbcqvoIaXo4CsoOvDkOolsOgUfPAcfT5c\nvxNjkSm2mGq7H3feiUaosSZEyDNo1RPgVCPGgf2++hQexh8DwAJRIoPB5+EXnhCpd6cGQvVCAdbX\nFGikhUWq28sUkAl1Hh4ehpD6yclJuL/36GI6YXZboU4+9urqys7OzoJXqdtXAD418PyP0DRP/KFg\niu1j3nCnRPVfySSArNsUNTcLILNffDqdWrlcDmFknn18fn4eHvHJ0YX6KNRYWkXXNuOoDxRgLPCI\ndS4BWs1V67kF6K2SRnRJU2Dog6aclBjFPDZPvPHieeIX9QfD4TAUNwLW2Cz1VP1a9sWaP0b8WKvt\niTkd3obzvdg4aEThMdpp9nDiEfOAdf0oIMf6qfLYHvNHCVljsHQ7iz8xSsMZ25TnIR32oRgNk+n3\nfb5HJcZmvTIqKOMV49X4wgn9furlQ6bKvr2Hz3tsqwZGUj07BTW+px4u4hdQbGw9ePj/+UUF82U8\n8Ho1X6ckhJyS5vYRNX5KKHyof2dnJ4CBz/nHxpzvpl4+ROdD9npvJYOr1WojP+ZDwN5DjuUb+Z2x\nms1mNh6PbWdnJzzTVQunAEctmlLQvLq6sslkYv1+34bDYQiFbgtdb9MNxoj5IdyL3urf1uv1xlPU\nCoVCqEg/OTmx6+trG4/HGzluwusecHXsIUSFwu2hQ9gX2sb40WYlWWZ3ARkS02g0QnEoxMoDKLqE\nzjLn5LEV4FVnWe+6LhUEeGALgFwul208Httq9S63rYQylueORQ7ULn0IYKkNpHDyPtC/z674z32o\np+vBf5szxOe8fV4sFnZ1dWW9Xi/oIi+NBHic+RjyqIDMqVkYKY7ro8ydpxCltjmp+FDpfcrkQUPD\nz/xNmazf2K6FLtouH7JWxq6LC6+Na24DYkSNuv6u3pTmIPkdQKaimH77h9UrqOuZyCl2HRtT79H5\nufEh/BiI6ePiYl4Gc+PD4dp/s9s92B4QK5WK1ev14Bl63VId80QoFqr2uXjti69DWK/XAXj19Dgz\nu+Nhmd0ycT9mOs78n2rk0WhkvV4vXBsA0Hy1Hm5DoSSgeH5+buPx2N68eWPn5+d3xiUmsXGjfYwb\nbVRiRaRoPp8HkqjEBbm+vravv/46EAwlYZ74Mv5mm+vM7N3uiidPngRA1sInojRKFggRU3Q2mUxs\nMpmErZJ4pZwrzZYtPakNW2Fm4YyFZrMZjDhbZjgQhTajV+gxa3i9Xgcg0MI4xp9CQY7mZA78vPi1\npXq7Lb8aE59CgYxAnFIPzojp0X33vc9O3ucobAN1tcepe89mM3v16tVGyoQ0T+y+sZ8fSz7Ktie/\n/02LprZ5kYgH120dT03ENiCBYfvP6u8xUPWhM9/GWJ9S3nXMU/KFIbooYmEiFjrXiHl23vPSUK1n\nix8iMQVVj0DnHvGFOma3lfm6gHwOKvbSewCqSpz8YlQgj4FvigT6e6Y8Zr02D23Hw/Vzv+0eOnd4\nyTxAHRAExOgzXpkC/mKxsOFwGJ6WRjg2dW8dJ0BMx5i1o2vZ65mCAe3EA6Wd19fXNhwObTKZhOiI\nkjHVKa9XgBHeKPUHWjuia5h7QhSU8NB2yA/n5V9fX1uz2dzIH+q1aBtbKDn9jyJWikvNLBAk9Eyj\nVxAYAI75ocq6VquFp0gRYdC6Db8G1YYo8bwvnRYDshgp06r3FADGbHnsfimbGAPjlH3S9Bn6GhNv\n79S+z2Yze/PmjZ2enm7sGkjZeL3GY8ujAjJhYM3V4pFyVCWLWgWjrAvJ7HZBpwyVz2vEChrM7ho6\nwukUc8RCHXxfwVRDcVqUgNFhoSuj1L2kMHWfF1MvDK9LFwDvvqhCQ1+5XO5OQVLKQ95WGKLjlZIU\nY+WdxU879FF3ajAZf08MGD/GJAWEGi7ktCweh0dYFN3iOsw9e+PZZqXbxVKVn+odap5fi8zMLOSz\nnz9/brlczi4uLuyPf/xjmDfvEev8q77RfvK/ZreH4LCO9FGBhGs1HXBzc2MnJyc2Go3s9PTUer3e\nRmqA66BLujbpP+3hO5ywp23Xz+VyuQAweo31eh08yOl0aicnJzafz8P2R902BOjw7kkPWyp1+xQ5\nd7Z2KXhogZvZbeGp1g0QZXj9+rVVKhV78+ZNeNgDBwjp0YzFYjE8ZzmXe1crwRnNvV4vEDG8XuaT\n/jA//A3CQtqBvdnF4rtthRTEqn1UIrle3+aZ6Z9Gf/jb+zg6PlzPYTAU8yn590C1DbjUjmEPY5ER\nL94WgC/Y5RQg811va25ubuzi4sL+7d/+zY6Pj+3bb7+14XC4cdwyURddpx8LlB8VkGP5Nr+YYsC3\njQWllCfmvaYmNOYJbJu4WDtijM63T9volTnmKaf66sdFQ+QAOCQg5iGnyIt6DOpBx9h2KuKQ+rt+\n1ywe4sUgpNixb68fGz/ePnSNwVytVqGYx4+l9469kfLe60Pun/KW2Vc9mUzuRCy8Dvlx079rqBQP\nD1JodhuZwoAAPqvVu6rR8XgcHisHUPoQZsoDgHCs17chVz0RyXtEqfnE8AJSbOUCODV/r4aTcQao\nAW7OHue0PfTfP1geT8evW8g1IexCoRDC2KvVKni97BSg396WQeT0SE683G63G06VKxaLd0K9uh4h\nzOytphK9VquFc99pX61Wu1PlrGPm9VCjQDEASXm6+j8PzGrTtgFy6n6pqKFvTwz4YuvPfy8F6CoU\nJY7HY+v1enZ5ebmxayBl4/9uAJlFqoUxfvAQP9FmdwddJzoFeLrQtXrUG2Flwz7/wvX0Xf/uQ1xU\nkOoCYIFqroUQI8xdlViNhTc+9JnPoPQaQtTCJb7vAcZs88lBgLkPz3qvyC8wP2cp0NRrYMQwZLww\neBihXC53Z0xi19UxYv40ZA9BefLkSfCCJpPJBgHJ5XLh0YqEOjVys1wuw2EczWbzzsKLhadXq9Wd\namc8HDz30WgU5kQ9X9ru51wBBJ1i73a/39+IHOnzmylyYlzIUeIhkx9TvdP9uHimPnWA3gA+rVYr\nbO3xkSkt3CMCorlHjsgkcqQ6qmFC1R3uWalU7ODgwLrdru3u7obtZdyDhxUMBoMQoicECZHRE/xi\n5JgIQKVSsYuLC2u32/bixQt79uyZtVotOzg4CA9F0Vw+OkiB1mAwsG+++caurq7sD3/4g/V6PTs5\nOQmP9qOIS9uRy+VC7p1rcGzq/v6+dTqdsJOFWgKfOjCzEL2BEPLMbgiGetQeDGNrXcF4Op2GZ4Jf\nX18H/VevHz33Nl+F09l8EZ+v0fF2hbXH1km1594u0w8v2JeLiwv73//9Xzs+PraTk5MoIMccu5QT\n9hjyUT3kmFeBqNHRv8UmIeUh63V0y4cqk07i++RRPFuLeXWxNnqioMqmBTCx/mv7PDmhL/p9H/pM\neci64BXsGBsfso/Ng/4vxWa5po6J92CpWoXkePLgmadny56peu+4Xq8H8NBCPfVa9RASfRIWBlUr\n0r1eKEPe5i17T/w+I6jX8gaOdulDHLTQkHSJVldjoG5ubmw0GgWvVCvRlQh7ohHrDw+jp5BMz5tO\nFUXGCKp/fnTMs6FNumOjWq1at9u1o6Mj63a79vz5c1sul6FyfLlchj3arD8qzdEv/qcPoVcyUSi8\nO7iGUCgPDwGA1aOmXRAVrZMYDAaWz+ft8vLS3rx5Y8ViMWzpMrM7NkHXJ3rCfJKKGAwGVigUwvYx\n9MV7qarvuh0LXUx5rdvWOTZEDy9hLJQsIzEvUudYx97bwxiI+rXm6xi8PY1dw9veyWRip6enoegx\nBsb3teWTBuSYG58aaB0YjIsqk9ltDllD3x5oYsCnuVwvHljvEw/G2yYLw4nxISynD1TwSq7gp4tK\n+67/UwMZA/TYGOVyuQ0PWauVdXxjrDIGIrFXTHyeB+OFFxEjSJ5oeVEgVkNAhGC9Xoc8lwKagvbu\n7m4Ie+pB+crQY6QoJTGSgMFmb2ytVjMz2wAADz6xCBI6TduoymXfqj50gqIm3UI3n8+Dp4Ueeu8c\nww3AaP0H1ctUMxOeXa1WwQvVAzjUA8fjwwBryNzPpyc59IN8P0fu/vKXv7QvvvgiPAaTSATgQM6V\nqAdzTwoDcqAPsPCV4hxfyXV5hnux+O5hKvl8PnjsjLn3BEulkrXbbSsUCvaLX/zCut1uiJ70er2N\nNATjo3pGIR/2ZDKZWKfTsd3dXSuVSiH3Xq1WNwq90Hm8R85653rFYtFOT083SErMFqrdZu7W63fb\nskajkfX7fbu4uAjnSmwLW+s1CRGz55wwvveQ0U3VE9UHf26AmW18l/vRR/qxXq+t1+vZ1dWV/e1v\nf7P//u//DvvgtXreY1WMgP9dAHKqkTFA9gCXMoIeaPz3txV0+TZoW+4DZJ1Qvee26+OV+OPvvOLH\nPL+Yx4SRUED2gIrExglwYQHGck+8xzzC+8YvNY7MJ/k/LfAzs5Cbu09XYuNEvzX3q+FWQnVKzGgD\nYWQt4lGWrWFTP0YpSXnLGhXQc9U9qdPvcT0lJArK6BJepnq8ePvoB3o4Ho/vALKPHFD4A2nC8NVq\ntXDu/Oeff26lUsn6/X54HjWeheZv9bhHHVdfvern1OsixVu1Ws0ODg7s4ODAvvzyS/vlL38Zxgcg\n1tyrRg/0kAdIOwA3mUw22sq9eaZxs9m09Xpt/X7f+v1+ODErn88HkpLSkULh9rCb58+fW7PZDAeh\n3Nzc2GAwCPPrgUjXh+7P/u6772wwGNjTp0830jVa5Acw87Ad9vwTvtczxretYU2T5XK5MLekHcbj\n8Z30ia7T2BoB2DkkRp/17dMIfl0xpnpev77M7gKyWdyhGgwG9vr1azs+Pravv/7a+v3+xtPiPE7F\ndPXvApCVZfqBSHmULNaYQTO7+0B37/3pKUBa0JEiBzFD/xDxxkINCIZRvWMWPI8c1LbEPNHY7/6+\n/hp6nRSw+VCY9/4U1P27Xl/DeqnKSB0f9f4x8Boe9iAW85S3RSQUwPzvhULBDg4OrFarha0+eMd4\n6qlcuxIoJUXKsmOgGlu4tInHS45GI3v9+vVG/lA/78PaGl7kd4BF1w6Gl3HnpRX+CoQKeBo5UG+Y\n7TuNRsOePHlitVrNDg8Pg/eMJ1qpVGwymQQv3ew2p4tXw7yosWWeUkYtl8uFXCFH7x4dHVmn0wmP\n4QQc2Q6EF6thfc7arlQqG15h7PAR1T2IBbUpk8nElstlSHf4SJSSdw1Fm1kgY7u7u+FaFxcXd4h+\nTKd0D/XZ2ZnNZjN7/fr1RsQNwkfUjLll7eXz+TB31WrV3r59Gx6XOpvNNqKUqh/ehrM+ptOpDQYD\nOzs7s9VqZU+fPg2pk23zeXNzE84sv7q6CmTO66i30aSadBeJrx5nrGIhcMYQj/zk5MS+++47Ozk5\nCVvvYkScNkB6tdp6W5Hcj5FHB2SzW69MjYP3hNWgKCCrkWWCYf26J5BrUkHKpJrdGjiYU8zYvy8g\ncx0NGasxxxtmUzl7P/XBADqhfiJji3tbO2KK7//GGDEXZnc9ZL7nvVBtiy5I3UqihTjeU1fAZ4+m\n5kZTgOzZrL5ok9cVJRUUjQEQGADOvCZUrdvWuC4GmGMbuTZj6UlJjCx4MAYoXrx4YYPBwC4uLkL4\nVPuFd+PnhfmjbxgfBXQlsKwX2okHqOCjbcO44RG3Wq2wf5qnsn322WcBkPH8rq+vrVarhQKqSqUS\n0hCaq6bCXA2jtjMW1aF9eKm0gWeo1+v1QDYYA0gUnrIeXJLL5UKYmLnEU04J3nWh8O5kseFwaIvF\nYmPLlwrzr+1i7ny4ezweb4SN1Q4qGaBISYvRGo2G7e3thdO71ut1ICiE6kkT5fP5ANStVstevnxp\ne3t7NhwO7eTkxP76179u6KGuffXemTs85NFoZG/fvrXj42O7ubmxzz//3Far1caxtzHbNJ1O7dWr\nV3Z2dmZnZ2chwqKFXbqWdBeBnhPOWuZvGnXTdalbRheLRSAhf/vb3+xPf/qTnZ+fh6hFipyhUzq2\n2A309zHlUQFZAdPMooYLUUOGMqhnhcQ8KAVA3W/I4lNPQyXlRXrxxiHlyWl7OI+W3Ig+tUa3msTy\nTf5+HyLbIgFq+DW/pyDoCQv9yuVyG+CrOXtl6TqOsHQ1St6b9WPrRRluyhP114JNayGMsmo9iSuW\na8dQ81hBQrixMYgRTa7lxxNyGCtC8ePgdUOvrXsuPbmLRR62iRJLvGQ8ZcLEPJ2NR2uSK5xOp5bL\n5YIhW6/fbdeh4Ijxhxj5sdZx2dbWXC53pz263coTH3Ln/oxzIiRaK7CN9HpyqGDJ/1T39ZpeP9br\n27SAHq9ZqVQ2ToLyEQ/VJ+wqhL/f71u5XLa9vT1rtVphnIiikMKgXTpWlUrF9vf37ebmxtrtdqjA\n9g4TJCoWuibk3+v1bGdnJ4TfV6tVtOqbfvX7/QDGnK8eO7Nc50G3w6me+jMX6Cu2iXvq3wizc4Qs\nj0hNpVFiOhtr12PKowIy4SGqFfFSNJSMKBgrkMbCkB7ImFzyIuSNCGHpBOp1YgZADaMXXez68qye\nnNDl5aV9//33NhqNbDAYhIKW9XodPDcMs7aDa/nCiIeKB7hY31Q5Y4DoSYZeR0PxjDWhrlTodrVa\nhTA1ffRt1oXv/49eKPjHiJ1vuxoeIigUPFEMAqipFwAQKzjv7OzY0dFR2Evq6wJ8tMCHZFV/CLGp\nDmtoHI9QdUuB+ObmJjw9DU+edcVnVN9pi8/NMhd4x3gYeH48JvXg4MCePHlih4eH9utf/3rjEBy8\nYLwGPGRyyRDRYrEYCso0BIr4SBNzwTwXCgVrt9u2t7cX2gIg63xjFPU55roVxuzdsb78nApP0iZA\nDaLNvGtYVs9zVuPvI0p8p1QqWafTsUKhYOfn57a7u7uxX5yXFhbxP32G9Ww2s2+++cbevn0b5rzT\n6QSvmPFAB9ThMTOr1+v21VdfWbfbtb/85S9WrVbtu+++29BlD0S8L5e32wLPzs6Ct390dBS2hOGR\na+SJIrqLiwv7wx/+EELGb9++DflxxkvXjeon6xc95VhTIjtmFpyi8Xgcxo5ow3w+t9evX9sPP/xg\n3333nb169Spsu9J5jNlEjX7RLj1c5zHlo3nILIZYol0/4404hii2YJSxavm9GkUfMokN8kM85RRY\n6XcBC60cJHfMIuLzWhXtrx0L4f4Y8f3XRansP+V1euKkXgJ99l6Av5aClF5LDVYKYH30RA1Lqs2+\n7wCbzxl7wPP3QrfwAsnNeuCNecmpsUgRS/2/fgbC5scFD5l+4bmY3R5Xq5Iiob49MS9Ew4IK9pBK\nwsKQBbaz4anx95jH5HXU64caR9rB/NGGmN54Mq6elH4/pT9+vLwOYrgVPDwIez3QvpJ/B2QYU/99\ntRHaXhyX6+vrsD2LGhUt7gOMvY4zRlSot9ttG4/HdnJyEvVqtW38T9cHNq/f75uZhcdWamGhmdl0\nOrV+v29XV1d2eXkZHuKg+WN1HjS15edUvWR/+pg6eDpurFtSidSVxLbq6XzF1qCuVXX6Hkse9Wow\nEwaQxcve0NgeOJ0IBoABVYXl75zx2u/3bTKZ2HA43KgYxJhwXYywVuTxt9jCRmJGS70b3epxenpq\nf/nLX2wwGNirV682HrAOi8K4KMPyxlLB4j5QTnmKMeMLS4U9p8LJunDNbpk7nrEWt6Q8ZJ1Ttl4w\nvxAoSIvm8dTT4d6MoXrIsXZ6UqPzdXh4GHJuw+HwTlWmLlgFZLxQtrfgEekJU7Br3feaStPQP/Lp\nfA4918IcPGU/DxQ3aTWzFv1omJFoEUDgQdcbNw0N44nv7e1tHNWI4OnzCE30h8peqnDpr6YJNMzn\nyQnzkc/nA5k9ODgIBUmExVm7Xv/U81+v3+VWG41G2CLEQRbeC6Uteoyo5r1Z6+yh1jH169GvA70+\nuc52u20HBwchD8w9AFONmOk1Ad+LiwubTCZ2fn4evONmsxnC9Uqa0B/WBj/XajX77W9/a4eHh+Gh\nCkomaAvrDB3D5hFRmk6n4QFC0+k0PDyI+6/X757njUf85z//2c7Pz+3i4mLjfHd1XPTZ9Hj+6CU1\nDqxLPORcLhfssuoU88151d99952dnZ3d2XWgNlRtineiaI9G3B5THhWQ9eQdFE0LL2Is2SwNBN7A\nq2esLw3dsVh86FsBNsY+vfH07/ozbcE4D4fD8PB3JhrWp31CUDQWtAKy3scD7kMk1mYlPX6R69h7\nYqKegYaPfZ4mZoS8J81nNd+vHrQP16c86Zix8wREx5ID/pfLZXj4u59fr3/cm3ypmd3p/zZP2bdV\n5wMQ9IbA53NjREm9/VqttlERTn819IlR8/q/7UUbMDiEQbUfvq1srcEzxlOmGMbnkWPz5b1Rxkaf\nzOYJ2X2eMv1Qb0rXgkrMPngPS3VXq6iRmG7q9TVNoOkc7XeKlNMOCDKecuokQK4Vi4yZvbNBnU4n\nEBeq9xH9Hr/TBt0mVqlUrNfr2Wq12njKFYC8Wr3bZvT27Vt7+/at9Xq94EzRj9j46xj4iIe+1ENW\n3FE9oc04cPoM79RcpWy/6tcn7yHj7TAZGk5W42C2WTiBIhGS4fOLxcIqlUoId/T7fTs+Prbr62u7\nuLgI5+Lqnkd9Bi3XwXDqQwTM0qEibZ/3VCgOyOfzNhgMQsUhhyT4Bav91oIEtowAkLQn9ooxOBXa\nqbkNjUbEwBkSo0/IQfiZudP8McrsDzvR7zFWesIQZ/HCrPm+VsZzDe/paUgrBnIqCmK6yBWY1Ngq\nqfD5dQ53KRZvj27U+SVKQF/Uo48VgEEQAFG8WIwLhhG98OkXvFbWiR4JqUSIv/M3DR97gNSXjlWt\nVrO9vb07gOzHWoHPzELhV61WCzqg91QPWeccfUPIRdM2wqSx0LOuXQy4htS1IlfnW/tAP3S8+Rzj\nqR4ya9gTSdU9/R29JmK4t7cXKq11DSg5Qk/V0zWzjUM6CP0SPUCnYgQR0KItVKvv7+/b4eGhnZ6e\n2nA4TNpC+qJRAzOzk5MTm0wmwUvGc8QhOz8/t2+//dYuLy/t8vLSBoNBsNm6njXcruNFiL1er4eD\nSDjUxz+wSAkD/dD9+IPBYONELkSJPPfWUL2uEyVV+rCRx5BHzyHrxPnqRG8sFegw/PyuHiQD2ev1\nQiEAx9ARHtYF4B/D5ifY/y/FlBDfJwBiOBza1dWVDQaDADKp3KrZZsEIk0quRYmJvlQRtrWP8dXw\nZKoPzJXZbW5b85G0B2CBWCkA+EMmdF65H0BOqFuvEyuC0vahBwr6Ok9+XBRk9Tqebet4eFCO3b/f\n74exbDQaoT0x4I15zt4jY94pjvHeJiDC39Rj4OlUGlYnGsO9NG8LefJFiTGd8pEFCr22Fa14bxSC\nhzevx0z6/H2KHKFDuvUMku7PGVCdSXnJngQzrzFAVvLtdUPTGByhCeHWaJy2IUYW1+t1OJyGp4L5\nSInX19jaZYwA41iqRG2cgrsSNQqk2u122Brm147+rmvF7J3z1e/3bb1e22AwCOSJMZrP59br9cL2\nQwiEF++U6BhqXQMhaj2ty+/X17Ws6xVb5EPVft78fPl1oukeiOhjyUc7GMTstvGxRa0haBLsPAyA\n704mEyuVSnZ+fm5nZ2cBAHmCDd/1xWTcj7CdV3QNmbInVBco7VZPzez2YezcE69dCwU0N2t2+3Qh\nKgT1KTUAcizErwUHsEbGDSPC3xhj/xhBxtETBPqpIKL/47MapsUgKajSZl1MSg6YYx5Cz1jyfTUQ\n3kOmHTFAVkPlPRTGR8kWXmin07lDeHTBKoDyM7l39E5z8AChjoUPY3uCpgDgC1U0ckJltnrQrVbL\nWq1WuA8Fhb4tWu2Mp+iL2hhrjULoO22NEUFPNL13jcesBVUKMgpg3kNSz4VcNNEnjLKf+22AzPjS\nFiUe3jP27VJ9VVulgKzj5EmG6qW2i+10PNBEU3r+FRt7T/h0bejPqv8eWHQMms2mdbtde/369Z1T\ny2KgrCRK6yc0epTP58M6V+K6zfHx4879WAv6kBrVLX+eQOql68S3Y1sUyDtGPoT+mPJRDgbRyUsd\naK6ADGsZDocbTJiCqDdv3tjJyUnYM0dxF6xHGdtqdbs1AYZutllBSdgZT0+BxIfz+B/GeblchhNu\nBoNBOAAEghALh3FMY6PRCMqvz35l4cDg6I96ySioAjH/w6PyR0Ei9FkNF/dQI6hhHxabB2M8F8K1\nPpemxpk5JndLu2IkAFGPg0UU86a9YeDzGA+tyCV0Sti83+9vAHIsxMzCZStfofDugAgYuv++Xifl\nOdM+LaqK7a2kqhhghshRbKUpHbxgdI8QO1W4q9XqTqWxAk/MmGKUNcWUWuN+znUvMPeNech8j2sx\nfvri3GQIL8ZPQcJ7tKobrD3NOXpA1hyk90Q1lUGYlrC5pgSU9G8DU/7O4TSEdfF49aVrwAuhXU/2\n/M8aCdT5U/tULBat3W7b/v5+iGroGBPB86IRGT9vALLuhNFq6vvERw1YC/5AEN2HnCJTMUD2UYBt\norqNeL16THlUQPYhACY0plwYdUK9VPHydx08DgNXj8Dn7ZBCoRCKSQBklASwA/j4Pm0F+NTrYtHj\n6c3nc7u6ugr5m8lkEoorfO5Y2ZSvaOUFk/SL3wOEZ7iaClCjEpsT72Vq3zRn5auPfQHTtpfOOXPN\nCyOvY6ykQ3WDNnmSpcZGjSriPWQlLb7PytpjHqJ6vRhedMcbbubsvvHx44TXBrv3HpvWAvgtSLRP\ndY0xUxIT21mgY6bRAU1J4AnyyEefJ/MGXudAAcUXLyrBjF3PA8lyuQwn32EnWM8+D+1F26EkyLdJ\nx0QJnhp1XUMaXeM6qdCuvvu26VpQJ0L1yxMEfz29zjZJATLXAGBSVeOx6zNmePvkU7WITslwvV7f\nqIC+r7069tpXn16IRRRiRN/3KfaZ2HzF5sTr+GPKRwNkZTa+NBwD1+/3bTAYhFNber2e3dzchPzw\n6empDQaDYCx0wNVgaghCDf1oNAqLOp/Ph20GmgfGQODFs2gxVPw8m83s9PTUJpOJvXnzJjwdBAJB\nuJ37U4qv7I7TjsgfkaMjD86iALxgmtoObxAIaeoCR2F8uM2Hs7g2oX0OzFAP2RME9aIUuLySKjhw\nehMLSReatsfMAkBppaQCpwdkH4JVz8l7Y/SXLVe0Q/ez02fd5gSpgOTp2KvhUO/ae5286Cc5MAq5\n1EvGQ6YSl1A1urNarQIwUbDFSz0GIk6x8DHtxUjqM6R5gMTl5aXV6/U7hV2qR/yOKAD6HJ/fDeGv\n5w3wzc2NXV1dWbVatYODg42iKwiNGkgFENVFog7qVWk0zBM7T7TQfdIBpVIp1LvEajWUHKbATMdE\nU2spUPbXVw8/BnIp4PF/y+VyG9X7sWv4kC19oPhvd3fX2u22tVotazaboZAP52O5XNrBwUEI128T\nxp2oHjqjc5kimp7A+Otqn7ykyFMs3K8RmE+6ytp3WicU1k0H2bKkjyjU86AJYWt4EUXGQOqi4V6E\n8rgfgKeeqGfqnv2oQadPnDbDflbAnoWqIazY5PmQirYhtkiUDao3q6IeH/fUClQ1Jt7gqQfKdzUU\n5o1kjF2mFrx+3uzWE4v9XwFZDap+Xj/L3/y46Vj66zOetAMjyLW8l8hnlLhpRAaipNto/H1TnhZj\nwlz63Kr3ljVfpQZICSRjzLrwRVypUKrqiCcORK10H7k3eNuMm++LX1sqXo+UXKuN0MiG5vZS4V1t\nh+aK9X+xMdE2xcKe3uboK9XH2Bjp/bwNSo0NOuO9xdg19fu6XmJjlZIUGCl5JJ2iZ0trMR+FY/P5\nPDzwxUc2VTzB9Wsn5q0+pA8657FxjV1Hv6vj+bHko3jIHqgmk4mdnZ1tsLCLi4vgHV9dXQUPeTab\n2dXVVTiI/OLiIgwIG8R1cWveVgEab4HcLkcpmt2Gaci7esaKlwrQ4W389a9/tX6/b2/fvg3HAaqh\nhwGSd+G7XJt2sRcOwqCeGsCuBhhDy/dh6hiry8tLW61W1ul0gndFLo/x0MNTzGxjMeP9Ierdqmeq\nizMGvPSR7+r1MKQp0NSIhfe+NEeLeGPLZ/XvMeCYTCbW7/cDcOVyuRChYDzxjBnv9XodSJ0yYw3l\negKjKQfNwyu51KiBGlhNbWD0yF2zdcdHMsjZ6fhy5Kd6E/RZPWQzCzUVk8nEyuWy9Xo9Ozk5sfl8\nbs1mc6NQUHVCRY0eBlsf6gFwaCQtJugPHnK5XA7nN9MH9EvXVwzkGE+eYkUbdI3GwMqDL3qs+VBN\n88Suo+3hf/pZD3QpT9evCT2YQp/JnAJyD8pKIFVXtwGNRj4KhXcPGOl0OnZ0dGRffPGFtdttOzo6\nCsVq2LX1em3NZtPK5bJdXFzYmzdvrN1u26tXr2wwGNy5D3aQyBrrU4+KjZGElB5pn6gqh1zHJHVd\n/VmjYPfp8vvKowOyLnYthri+vg5AY2ZhT2vMQyafzHYZNbCEqXy4kJ8BGDzk9XodQuCID314b8UL\nSsEZ1Tw8QgFzvV5vGNjYolQjqODB99VzU9aLYcEIK8sDbDX86L0yBWYvatwpLvELVo2B9onve88g\n1Xc1Wt6r9OFBz2S9B+0NjPabvzGO+l2t/KSdGob3Ve5KFNAtHSc/lrFXLMqgbF3n2XvL3ttF3wBH\nDJ++e6D319a2etKga4fcLUSI78a8Q9UNbb+SgZSXru/6d4yz2gjGn/6qvvk1q23Rta5jHtPnWHuQ\nWNQoNv+xKEBMYsDsr+e9w5j92uYp6lrxpEPtUsw+eP1UMtpoNMLeYM6Y1mNO9R7tdtsWi4Xt7u6G\np7B50qzt9RiiALiNOGwba7/VNNZHPweqRzFbdF9b3lce/ejMXO7d/jjN03CkGoNhZqFyEpDjGZvT\n6dTOz8+DJ8OzVhWQMUxmmw9v94YXkHz79q3lcrmNvB2PRMM75NhCzQ/m8/nQrsFgYN9//3143Bxe\nt1Z+slDUSDCBFKSt1+uNQh7AUL1f+kKORkkDB3RQgapbrTgljIWqSuO9SzXcsH09XtPsbn6X72q/\ndNx9nkdzxlpJ6knUen0bEgYAMKR6iAheUcwbUi/GEwNyx5AWrgVhoyCPsVXPmOtqbhtPVEmGirbJ\nGxX0VUPJ/nv0XU90UoBFh5grD8j+gBgPzNwL4mFmoWhtOBxaLpezi4uLUE3OIQyNRmOjPiBmwLkX\noW6tmSgWixue2H3GjPbgIWvREKRE58D3kd/L5XJ4tjPXiAGq10lP1FlHqWJHn5byxNTPdT6fDzUA\nsUph9Ee36uTz+Y1nVVNM5cmGXkPvreDL/PNgHOoIEMYUncrn8+F+h4eH9stf/tIODg7ss88+C8da\n+vOlc7l3uWCOC10sFvb27duwRiFaur65N1Eq6hkajUbY0oed9sDo7a6O9cuXL61QKNif/vQnOz09\n3XCIUqCsc4Jdog1gxmPKRzmpi8EoFothywshJ5SGo9OoUMZb5tByPXycoiYWNKIeEi9EFRFwJs9B\n2zRnqiFbVezJZBKeo3l1dbUBgrHPx7wHNX70XdmhFgGpZ4bR1Wpc9eR8GAcPwu/99guTcVOFZpww\npt5T1jGPEQ6AV4Hee8QezHXulJTg6edyuY2UhHq9fo518ekcqAeuVfDcC5BmPAmXqQetRj4Vro2J\n181YPzyx0PsBqlrJqwZDieO2VwwQtH1KMqbTqZXL5UD4dnZ2bDgchh0Luk5i3jHvGn6nmEqN30PG\nD4KmNoK5UlugEZKYYaVg0e/RT3n5uib8HOl8elB/X29JxykWwfB6w3cIvWqf7vOQfd/02thc3YOM\n0H8F5kqlYs1m0548eWJ7e3vWbretVqsF50H7BGmiEvvzzz+3ZrNpf/7zn+3s7CyQgFg+mX7jgCge\nxDxl3099z+fztru7a6vVyr799tsNIufHzf+OvYEEqA2OjdmPkUcF5Kurq3cX/b8Ll+KsyWQSkv0Y\ne/7H5n/29V5fX9vl5WX4mx/02CDGDH2sIGc+n9vOzs4G8CjT9nnVxWJhg8EgHA3nz0BV5U4tcgVa\nBXIFPA2TKlvE6FAlSnWn5pD9d1gEfowwMPxPq21RTlU8s9v9lWq4dU7x+qn25Zr+e7RL2+IBGVJC\nn0hZqMeui0uZqw8n4RErEdAcMQtJt9mRWiGd4MHfA6G+K/nRiIcfg1QxkBrHWCGL/1xqPaRAWsdd\nf0Y/zW7PoWefLU/xKRaL1uv1NqrBVXc8mHE/IjQ8UxkvW4/6jEVedIzX63UAZJ4sRGg0l8vdicT4\nMwf4mRyyFh7pqXpqvGMgrXMdm5cUKKvOqI3ScD72yINAzMmgP61Wy/b29kLkwZ/prOvBt0v1jHX8\nzTff2J/+9Cc7Ozvb6K8vLNQCrf39fXvx4oW12+2QI9bopUZ0uGalUrGf/exntr+/b//5n/9pr1+/\nDvPsPV7aDEm8uroKBzGZme3t7YW59aHvFEHihDR2S/j2eUkRHK2Nemz5aIBcKBSCF0yhCAUehIL1\nfFiqmHnwNU8CMUsrub6r0eJ3FFr3H1PcRdEJiudD1QBCv9+3H374YaPgx4OJD51oW1T59YHuZrfh\ndj2OUouv8vl88AYwaFqkpZvu8fhSIRcWqiowRET7bnZrnFnotBc2jZG8ubkJR2KSP2JMdUw8IPvx\nU0BG2a+urkLYtNVqbYQjvbGMzbs38JAYABkyqESJHKqKv04M+HxRmRYd0VZf4R8zkB6QPRBvA2Qd\nH22XhlsRXVdcDyJCOG40GoVQKMWWvorWr0MldRBvnsxTq9XCsZqaZvJj7MedSm8OZWk2m6HAjqdL\n6VYv7atGGvDgfMhax0PHRP+v/fJkKSV+XGKRDXKxvjDVz7snPK1Wy7rd7gYgx1IgqpOqb+gca+C7\n776zP/3pTxttx4ZDvlKADNHRfLavY9AK906nY5PJxA4PD63dbgd9gJRgL1Q3AWS2yVJ0S1okNg8x\ngNboKHUIKYfP/66fg8SrbXwseVRAJv/EJHAY/83NTcjfwLT1QQNa5aohCRaaVmzq3kMvMe9UK3wB\nGg4kWa/XG3ltVWgAmTC899QA4lQYUBXf793lOwrIeGgekFkcuVxuwzvX56CmthDEACQWhtOxU9Ei\nmsViYcPhMIQv9SAUDxg67rT7Pg/ZVyXzs26X81t98NJSuSRdrKpfvojLF40omWG8qHz2+yB9eF6j\nG7FIRUxftd8YG3L7Oha8UiG2FGHwRj62XlRXGXM9h5w1gV6qpxcDLtaKbothhwRrivmLgZauEdoD\nocIYsp59REfD17wKhcLGiV26lmLjETPUZptPokt9Vr/j5wQdITpDe7ANuo59BIFQNSf+qXes6/s+\nJ4V1xeFGGnb13rEHVrxMLeKKkQEFMdUPTifTiCnAyM4QvsM84oCMx2Pr9XpWKBRCnVIqUhETsAQ9\n0bbF5k71wuskepxa2x8qjwrIb9++NbNbQ6YFVIQsCBlozhBwJlcEwDQajXBCkRZkmd2Cmdldw8JL\nc4QKfoSKVCGUoZlZeGYvRydqeMTsNp9gtumlaV5aDRxgSzhV+6Bemx58nsvlwtYoFJD7adiYU8dS\nzD7mGZttnmqlxhSBHGCUR6ORnZ+fb1Qhe+YNsaDtECs1vB40fchaX8wxBE+rizFC3ptUI4ieEYmh\nchgDz318bQJjoYaI7Ud6jJ96yLrVQ9voF78uYq8jjBtzTJqC+SPd4kFHyUMsZO0Nlo8s0H90lKhW\noVAI53jX6/UQhdGDRrieJzKr1cparZYVCgXrdru2u7trxWIxALx6yDHwMrMQRRuPx1Yul200GgVg\nr1artlptPgOY+yo4AcbYolqtdoeAMR6qk7H2xFIKKjHvSj1ibM1gMAj7chWg1UPU+SoWi9ZsNoN3\n+uTJk5C7xTamCrt0/tG32WxmvV7PLi8vN5wOxgu7qKSTNhwcHFi327V2ux09qzx2f8aBA5N4UMpk\nMtnYH+49ZH4ncvrq1StbLt+dmqgpvfsEG0hERXXURxH9POrvrEvwIuYI/Rj5KM9DVgVnIjh7mjyU\nGmKAk4ngFB59zJYeuI9yqQLEmFLMa/KhIH3pJKgS6pnTvGs/VWLEQL1AmJ/Z7eLWRc5nAHYWqWex\n6tkB7D5HGfOMua73LM1ut63xO21RTzIWVuWzCi54eqoXqYiCHzP1ks3eGWWtrKed2le9ln6GtupY\npULEMU/TewzohHrICkpKLhSQ/Ys5TkUHtrWVe6k++L/F9FP1QvVdiUwssgMhIH2CJ++rnLUN9Btv\nlDWse+9j4+KNupJrfdG2mE7TJx0D5pBomxK62Bh5++LHyuudnwevPwrItNXstt4GL5E15+eyUChs\nnNiWyh37tvp+Mbez2cxOTk7s7OzszpPH/NjoNbWgTD+jesV9lOx7e6OEUccoZrOVNGpxnx7G5Psb\nE+7TarXs2bNnYStr7HO861zouCq5eUx5VECmYo4JJH/M0ZU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M9fe+eZxMJnZxcWHD4TB4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\nixMAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 18.0\n",
            "    J = 9.5985e-01\n",
            "    grad_norm = 4.9640e-01\n",
            "    penalty = 0.203\n",
            "    mode power = 105236.710\n",
            "    dip power = 107365.422\n",
            "    coupling efficiency = 0.980\n",
            "Iteration = (88 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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FZ5PiUG/YK46YR6zP4Dkx0Cdsj8Gh1r4vtsFTRjlheapnrJtiaDsQdjMLYLRc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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 18.0\n",
            "    J = 9.5037e-01\n",
            "    grad_norm = 4.4681e-01\n",
            "    penalty = 0.202\n",
            "    mode power = 14128.312\n",
            "    dip power = 14556.350\n",
            "    coupling efficiency = 0.971\n",
            "Iteration = (89 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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i8Ozv74f9j4VCIdw5TGQCAF2v319eAZBWq9VwdjYGWrVatefPn4f7qXVO4OV6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\nvU/z6D2f4CnRDL/9CZmOeUt+DjXXqcZDTCZjfPQ6RZ+VNh8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Awtg1l+yrxJXP3mCIGbS0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\nlFFGGWWU0WdA/x8T0o01tKWwfAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 18.0\n",
            "    J = 9.5163e-01\n",
            "    grad_norm = 3.3728e-01\n",
            "    penalty = 0.201\n",
            "    mode power = 12594.293\n",
            "    dip power = 12960.915\n",
            "    coupling efficiency = 0.972\n",
            "Iteration = (90 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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+PxwTWCgUwjOHAS3mab2+OWwBIK1Wq6ESlIhJtVq1ly9fhkpNPSqSsWSPKic8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\nJpl8AvL/AMZ0CWGLe2qFAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 18.0\n",
            "    J = 9.6086e-01\n",
            "    grad_norm = 1.4232e-01\n",
            "    penalty = 0.200\n",
            "    mode power = 17499.077\n",
            "    dip power = 17841.375\n",
            "    coupling efficiency = 0.981\n",
            "Iteration = (91 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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xPwVSErDYUAEFrVqt2osXL0KmJsln8APCn/I5t3kwGNh4PLZ8/naXsZgQiQlE\nfqddxO84K5ukFXiSODVtQpkrFovW7/dts7ndBej09DSsbeRZ3kvghQ9eCK2r9hUJJh50dI4oD2lI\nwHt8/DIktdYfAsqqBJAVjvubE5dyuVzgFeUZ+h1ejAkx9dz4cA796ZUSjUHquLI0iPnPJhi6Wxpz\nbZc7PUa0Q7PM4Qm8eDFvVkyeqFVOdrrO1zSvXYwAvfV6HbLAOUsYwwPlWOunHoY08KOeumHNQ/uM\ndtZqNXv16pV1u117/fp1OHedhLj7LGT1ZmgsWZODq9XqW8/fBcpmZo1Gw/7+7//e+v2+/elPf7Lv\nvvtuC8vua9tj0qMCsmonKvCwqFgb22q1wnZ0MIuPQ6QBFdonSSmAM2WbWUhiUGuMSUhd1F2tMStv\nqXgLR+vj6xobnPs0fm2bnwjeija7szzVzakao3/F2pOWvBajWPmqaNVqtS0hyqQCFPRdBR/jAV9o\nHI3QggIyE5S1z/l8PoyzCvmYRaHKU0zrRyAiYDW/QOPuCDwVxuyHjgfGb98Y45E0C0SvVVewByh9\n19j5Q3jNPyttzGPXUaYmyzAeCnhqITMupVJpa8c8rZ/PZ/DbnsaU3ZiCG7sOwEbJwTPDd81VQKbc\nRzHrNm3OedpVfmwMH1KfWN1iLvkY3/n27OINNZDSksx28V0+f7ekkvnl66b3xLxHWp5vK5ZtjGLK\nkJbvPQreQvZ4tEvm/xp6VEBuNBpmth0jwUo7OjqyRqNhr169sv39fXv+/LkdHR2FXV58DMtbbcoM\nuVwuJN+YWUjAaTabNh6Pw6CzqQAaNM9BmLJOEWBQ97XZXRKStx5hIrV0Yy6qNCGiZXk3M662tMmI\n1q9Whq7zpBzv+lKLwlsWvn5eCVHXMgCFpc6uONfX12GzFixk3aAeC5eMaHVZEztmcwHcWXhFqDvg\nzw5iasHiLo4tNUlTrOgrTQxha9FWqxXaDKB4j8JisbBKpRLO4iXprd/vhwMGYmOvSo73lAAiy+Uy\n7HTELmn5/F0CGlYH9/CdvkJopAmMNEsYvtb4otbL7C7GPZvNwgYxm80m7PJGfgexdxSVJEmC4qVL\ncdi4YjAYWL/fD5nBem65V0I8gGtd4WvqmMvlQvasets0HHDfvEsjnbca//Zrfe976bzUPRKQcQ8l\n6u7DVqo0+PF/KG+YbXtZ3pVKpZI9ffo0ZEQjr2PeGsYzZpjFjAR1pXvynhbfB1o+S+PYaChGfl69\nq9K0ix4VkNUNRCeRucrm7Lovr+5za/awtbmqEZndabXEG4knxvZwRQgQR9b4TyyjUzVwP3C7LGat\nt/+sZei9Cs5Jcre3cIxyuVywPswsqqHvso7vc6X5Z8X6nvoBiCR4qTKj3gyeWyqVgjAFRHSZlm4s\nQRKK2fYuRwhUv5TFb+cZG5OYdaAKh1rHmoELGHkBjHvQ7Dacwj7Mnjwg7+IZrkUw+/3NGX/q4y1k\n9VTElML7aJeFrBapAgeuYICYcUYmsAscblNtv+YD4PWIJTo+1DKmrj45Lp/PhzAXXhZVulTBfijF\nwCFtbD0PxPrVJ3t6MEkbK1+WlyteXvkyHmId6/y/zzKOzTWMIfhCLdG0Otxngfp63Wchx8ZB+0Ut\n9ofywmNayY8KyPv7+2a2fY4oQPz8+XNrNpv20UcfWbfbtW63GywhD3768h1IhzOY3mIgvrZcLkPy\nE8JLk5IAEtzlWHwAQS53lyXsrS4dfNXkdCIoEEJ+kgBUulQJYaTuMy2DiQpDa31i8Sf6VBOvdLLv\nmvBYSwqsKmD5v1gs2t7eXlhSwzIg3ZpP20ICFM9guQbb3aGoEYujDI2donDxGTDUZ0HKVzpejIVf\nKoZyoIBsdusuxyJeLpchA5Zles+fP7d2ux0ywennJLnb0N9bydov8Cn3TCYTS5Lbc5VHo1HgFcBO\nx0X5hHIZK8rUfdt9Mt8u0jGgnuv1euvcXA4+wXPhLWSsXY5RZOvNfD5vP//8s52dndkPP/xgl5eX\nNhgMgtWMBew9O3pWb5IkQSlEWYPHOKSCMTazsMaZ8skvgZ/x3qT1jY6j5m348JfOWZ84CaihMLBi\nZDqdWqlUsslkYpPJxAqFQlhVcl9Gc8zzlWbpPhREtJ1p243q83nHqEgDSNYzp21PHKO0tpjZTkUh\nBsaqtPo2xJS/34oeFZDJvPUJAKxdazabYX0dk0ddDLssZIiBoPO5H+G9Xq8DuGLZUIZmHJKc5JME\nND6iioFqTAhTTXK5T8OMtUE1O1UW0lyZZneWp15DO7xrymvhsZjjQ+saiyOb3eUNsIkLLnUEG3WG\nL/L5fNgqkbJJtFOLl77QyUOZuMuI++Aq9OPk+89/Vl7S/tdlN/ARyoW/dr1eh0QSdlIiocjM3gKx\nGA/QR/rZzIL7HxAlDgsAUUftW80e9t4QDSOkzbE0y0AVBrWQsYzpo1wuF3gYfoBnGTeUlXa7bUmS\n2GAwsIuLC+v3+2FvATwDu2LnfgkdwEhdiG/ncrmQja8WGv2mY0x9fQ6A7yfIh5x8drQCAP3Lfaoc\nq5KhLxR0lXW7KK3uKgticuo+2RWTKZ7SAM97BZhz8MdDLPT76L4ydmFK7Hvate+bHhWQu93ubaH/\njzEbjYZ1Oh1rtVp2fHwcNiXXtbGqcb0LQMQATa1N75Y1syC4NWGIctCQ1ao0u8taVYDmPhgOEOL+\n2ITQ+quFnCTJVvISghN3rQKxF0bcT5kKTqqdKjiqMuGFRVr/+/7WflKtXTVOXV+IZs3zSNyCisW7\nI+/QmhFyCCwFRdqtY0nIIk2ZUWVEM00ZP7+EBVDRsACArFmxjF8ud7sEL5/P29OnTy2Xy9n19bWd\nn5+HMfWKkLdWdKyJUSfJ7eYOZ2dn1ul0Qj0Zf33HUtUMd7NbD8J8Prfr62sbDodhowhNnqIe8JPy\no7fw6C/NfNfQhOY54FVAscBaLhQK9t1339l6vbavvvrKLi4u7M2bNwGU1Tr2oBzz7OC1QTlCWdCD\nSABrXTqJ8ogLe7VaheRQLGolr8iqx02XUgLu3rumMok5UigUwqYdo9HIzCwkvObz+ZDnorFW5Rst\n27v6fw15gNW4fZrC4hUnjdcqxZKwYiC4S7n+tVas3oOc4YAJ5IzZnVIdA/u0338pPSogdzqdoMmR\nZLW/v2+tVssODw/DVpmaSWv2sLWHSh6MzWwLkDUurQBKbJDJw/+q1VMfvc8LAa0D1++KH8XqrcLe\nT3wmamxCqEatbu0YICsAAAheYUizxNPq7vtdlwcg+BDWbGtKghSTmaxq6gavsFxFY0ubzd3yNgVF\nHWusatpIO9QSVkDmO/VWD4layKo0qaWnbkoEez5/m0Gaz+ft+Pg4jOn5+XngM+9K9DzhhRmu5cFg\nYG/evLH1eh12ulMA5J2YKeMAD7Ekrd/vh41MYuubY+TrpB4F3NYKyDw7BsjsE4C12u/3bbFY2Pn5\nuY3HYxsOh2H5VCyhKzYflD/10ACsYwA5n8+HA0gAZj3ggGTBJEnCwTUedGJySpfe6NGYxKzTYvk8\n1wPyeDw2M7PRaBTyXKbTaQB75nrM3aqA/GstPA9+Kndiqwg8r+j3mExUj4L35Olz0+p1328PaZt+\npn26xSjzyizdg/CYYGz2yIAMwyDQdEmLWsWxRK40StNKYtfEhJz+7t2NWpYyuHf1xdxmgDCgFwNk\nP3m13jFLWZ/FbzyPSeaTeygXF2FMk/aA7LXSXZPXu7pi371w8ElyxIQ1GxfhR1/j5tUwBiCvGmqa\nh0SFoLc4tW+1rup+14z02HO8d8C7KmnXZrMJWdvEcL0AUFBWHuJ3rCqAgrNl2YQEIAH4cJ2zBIwY\nqAL6dDq1fr8fDmch/uotzRj5/1Uhg690H3nahAKlm4cAMKvVys7OzkIcGmtW3dXexa99r+Ed+Asl\nP+YZKhTuljyh4HlALhaLYdOK9Xq9teeBgpImD2oyoC7dI7QCz+m80/qpq9rMwjr20WgUrG1c/OyS\np7kjnmKGg+fph1JMCSIXIbaagee9C0DeJ38eer8q3Gn14novn1erlfX7fbu+vg5b5PJKU6LfFz0q\nILOPKICspw2R9NNoNLaSTczioJwmFHdZcHqfB0gsd03g0TJ184U0C1ld1wysz/bWMmMatX7mXoQI\nrlC1pjQxSq0gdVlTT02GiiV1Ub+YGykNjJWBY2OjZXnrmTFgmYsqF9ourBsErSpDgLIqPRDPwtWt\nO5f5Se7DDYydKmk+h0AFmIKwWtJJcpdprh6BXC635ZaHGEPfZzqO9A0x2fF4bL1eL5QNABB7R/nF\nO6L5EWz3OZlM7PT01N68ebPFXzFrQSk2H+gDwJa+JYYN2OXz+bBxiCYE5nK3+59//fXXYWmXV4A1\n9q7KryqveIQ4iJ6+YMx84hZgXCwWw1aSk8kkbLuL96ZYLIaNJnSdvWZt0x+s2Gi1WkGI43Zm/NXL\n4kMx7F4HEBQKha3DP5IkCRsdNZvNt0BH51/MQlZl4KFA4kFYrWPCH3hflFRe6Py777kxPryPL9Pq\n6pWU+3Bjs7k9oYuEQvb+Rjn05A2Sx6b3sjGIMp4XYPdZkWZvg+u7DmgaqQDUzNQ0ZohpiL6+XmHw\n96mr2btzvBYLkKmFrha4n4y+DLXyvOXFvSpYvbZ4X9/d97uCl7YJBU0tQHWzImhpA3XT9sYsc/8M\nzUD2fQ15YPWJOLHxjD0z9vL8zhacrFP2/OSf45Uc2oCVzM5dmmBmdpfQiFUGkBMTHY1G4bQ0hEza\nfNN+UutOY370m/dGAAg8V0ECIOM7R6nOZrOtrRih2PzSummoQmPrXplThRSvgc/Yp+9Qqthxq9Pp\nbLlc1aKibiSI+qWdJJeiOCjfqPeKupBvwQYr7GbH3uO53N1SLfWOxcZN+dl/T5vHMX7Q/3R81XuR\nBsppZfkyY+GIWL3S5JOXm2nXx4wLnjefz+3s7CyETjScw70xufDBAzJxMwSwridl3XEsNR2Q0Ilk\nlr75udekfXxDB9rsbVcrLs4kSUIWZowpqBfMrMlFKqAQjsqkasnigkNT965CdfFxP++645iWqRYy\nfeRPrwKA1SJV0EuboPcpQbHJ4ZlUBTexsFhcO6Zpm20nUvi68BtjwNZ5m80mWJCabKTtpj66JG/X\nDj36THWV4io2u4tJapLXZrOxp0+fmpnZ9fW1/dd//VcYQxVaCsCAoF6z2dyuq+/1emZm4exr+lMt\nZJIkNTdjuVwGQXN2dmbX19dbvIvVql4NbXOS3CU/AXhYlJ6H1G2om/PrmHM61mKxsNPTU7u5uQnL\nH30ynfIq74AaIAggA6ZYxTrneJnZ1kYhmpyH16FcLtvPP/9s1WrVLi4urNvthiP9UALo20KhEFaM\nmFnYX6Fcvj17ejqd2mQyCXXzbn3GR2PzqlSxIUyhULC9vT3rdDohcZDne+Wb+qFoUmddOXCfoRMz\nJuhDtstlRzadL/p+n2WswK5xaa9Mx+ah8oEm6OpmQw8BS+ba1dWV/eu//qu9fv3avvvuOxuNRmFc\n1LOj8/R9gLHZIwOyVlg1sl1uE2+RekpjHm9p6kDuKofPCL+0Mj2lPSPNotLrPbPFGC6tjV65SLPY\nmdC+n72FzGfGyk8cve8hfZOmDXuLAGFAXNHH6X35saQRfYa3WDUcsdncJUR58olbPrHEu7Vjz9fn\nev5WL0WlUrFms7l18EWal8X3m/6+2Wy2NuBA+aPeeHuIKwM+CHzWtOqWsmbbS37SLAD6S61iACxG\naZYO84CNU1jKdXNzE8IVaj3Cl/QxQE2OAQmipVIpZEVrIpsqfbz7+uRyuRDfLhQKYQ21mYXTv7Bg\nUfx8PalPo9EIyjrx4P39fSuXy8EFTeze95eGlOBb7plMJmHfd+qHQeD5RvssNvfSgCTNMvWGiir3\nalTELEY/T2PPjFnHXg6kle3bmdaO2HMpSxWM6+tru76+DidQxQw6P+/fB703l7WP98UAS0GLa/R6\nFUxpgId2hUsPzVgHB4ZUoZLmPo4xJpMZQRdbcsQEgWERnuw+5LVAD7Rm24oMYKWuQ4SD14oRLt4F\nq/VH4/P3+37mmX48tJ907GKkIFksFrd24MK6VDeijxlqufo8tYyT5O6IP65D6LHpCMsXdJw4UYp3\n3TFuvV6HpJpWqxX6iT7h3YdkiAlqchcuy1arFQ7AUOGrY+/7X3kDnprNZlYqlWwwGGx5jvT8ZsAB\n3mTcT09PbTweh6QVtZqwptUdHVPosKbJiAcY1EOVJElom39n2RPLr5gj1NPnRNCvuLM5Aezw8DBY\niycnJ5Ykd8cdcqTfcDgMmeW6cQn9oZ40L8TJfalUKjYYDKzb7drLly9tNptZu90OGfTEmonlUx5Z\nusPh0P74xz9ar9ezv/zlL3Z1dWWnp6fhYBRc0yoT8CxgUY9Go7AE7PDw0LrdbljJQrY9CpXKWkJC\nKITEtcmzQGmLAWHaXKfPZrOZjUaj0L+bzWYrH0f5xmOAlk0GvCYX+peXPyprSRhWL6XnIZ7libG6\nvLy0//mf/7HXr18H75EHZG9wpBlgj0XvxUJO0yJigOo7L3bPLutRgdkv5VAh7kFIy9Ay/Wf/nPsG\nyisK6qr2k8BrmNp36pbK5e5ivzHtX4HK97s+S8vRZ/lYra+T7xevwPi+8OXrMiGADyXHW6exCbRL\nU9WyN5uNNRqNYJ2qpci17BCkm5BoApx3K6a1SRUnr61rvbAutY3qGfA8pH2i1xH6wMJStzaAoKEU\nnRMIUBRWeAU3te9P72lRIVgoFELoSTeu0OQuHTeNH6MscbpPjKd0rH3Yo1arhbN49/b27OnTp7Za\nrWw4HAbBroqC5ipQNvWNba2L14GELwCs3W5bp9MJG7OoO5hseg8+o9HICoWCXV9f29nZmRUKhZC4\npYqLKufMT8ZVEx4LhYINh8NQP+LSZnehPZ2/jJme/BY7hCU2x2NjosqkLkvDCNNnxzwt/hleXsc8\nR0p+3nvvlseTNJmlsnM6ndr5+bm9efPGxuPx1hK+h9blsUH5vZ6HHOsIyIOpApq6vlXT8pq7Bz6E\nQlrCgQfWNAvvvnt2aZW6xEPdcmpFcJ93jyIo9Tf6wmcuM+G0vFgf0Rc8W93G2r/eKvdjGhvLWPs9\nH2icByuOvvEKkpYRU9h8H+kzsODMLBzxqNfp8pS9vb0Qd9aEIvoLoeiB2JOOkQc0jU+yJIYxj7nE\nvEBXINbQB2skeb+5udnKGvaAfHNzE5Y94anRZ2scXuP95H4AOpVKxY6OjqxYLAYwm0wmNp1OQ+Yt\nLkDNitccCO8y9233ig2uaY5t7Xa79tlnn9nLly+3Ttuq1WpbGcooXrquGKsUQNE4qFfccKM3Gg1b\nrVYhdosymcvlAu9ooqoSVn0ul7NPP/3U9vb2goJwfX29pazrPIVQYJAf0+k0xLOZQ2weoqEH5jax\nbN1CmC04WdOeNs/873g4kiQJcfHhcGhXV1chhu7lllfqKZN24YpnTbwqUTzXyyHN/9CwE/Oee/0c\nojz+v76+tl6vZ99++639x3/8R1iFkJbP4pUMnfMfNCCbpbumY4DsAS5NCKZZt8owfjBj5ME17Tq9\n3mw76SztPuqF5udf/pkxa8BrurH/vCW2C5Cpey6X2wLmWL29hay/+f54KDCrYNVdtZiYaQy9a1xU\ncVBLUhOd5vO5XV1dbU1OAIb9stXNq1q2TuqHTraYhax14rm4/NL4HgGE2416aHYyvDSdTgPQFYvF\nsLGFKlwoqQqcXhlVS4q1vHoMZb1et06nY41Gw16+fGmlUsl6vZ7N5/NwHjX7Uyv4kjWs/Yrg9X2n\nAo7fABnqcHR0ZEdHR/bq1Sv77LPPQpkAMW2jf+ERXMP0EfVQS13nRC6XC+ulAdThcGjD4dDa7XYA\nZPpJ71MirlwoFOzZs2fWbDbt6uoqeClGo9GWfPGySw/BQKH4/vvvbTQa2dOnT99y7+t2pblcLuxc\nB1/gvqdtmkAam8P0ocbazSx4OQBlrvGuYi9XeBYufT3r24OxylvvOfJ7hmMpm6UDsseIwWBgP/30\nk/3www/21VdfhWz/mKs6ZhDE8Oix6FEB2QsYz2hp2odayL7BZtvLaPyz5vP51ikxvg73gYr+FqOY\n+wUh5i1RtYyn02lYZsL61DQXDkIrVjdfF/85TRulHO+q9mCjSkDsXd1BOp7+pdczSfmOgNf10V7j\n9GPlPRK+H7z2zJjwfnx8HBKqcPHxIvZE/InnKWjwXWO/u+rkx0RBuVqt2vHxsY3HYzs9PQ2xbR9y\n8LFktdxRQAAW7lfPB/1O/TTDn+t8/VCW6BusLj2Z7ejoyOr1uj158iTUgaQjhD2WMxYmfcexkfSx\n9ptm/Mb4myzyVqtlR0dH9vTpU9vb27N6vR7GCnCkToAzzwOQdSc3P54xUqse8CYvAHex9x4p3zJG\nZrcbJq1WK9vb2wtrXFVhjNWHMtXb8ObNG1ssFvbzzz+H+iVJEpRL7/nK5e7W95+cnASF6/LyMhyX\niuUbC2V5MENB4NhN1rQ/efJkS0HWsVTZxJr4fr8fjijFQo6FG9U7qDkoyq+AM/2hWKN5Dev12kaj\nkc3nczs9PbXvvvvOTk9PQ5zezw+dd4SCNNvaY8Bj0aMCsnfBqhD3WXmxwfaCloare0c7a7PZhAxS\nBlWfj+b0UKt9F2n9NM5Gu3n+bDYLiQ8s70Ar1QH14KOCX63UtHrwWRk+1k61kJW5vPDzzKj368tn\nWcaSY7wyVavVwqYx2v7Yi2fGnh0DLq/cJEkSNsm4ubmxi4sLGwwGW2dgY7koIKv2jtau5XoN/j5l\nQXmlXq/bixcvgpsPt64XAupih/Q3Xc+tLml1d/NMVTCI9er81Ni7AnGn0wnrp3k9f/7c6vW6nZyc\nWD5/u+xpOp1avV63wWBgk8kkbI9JjJN47HQ6DXXz3ofYqgDtw1KpZK1Wy/b29uzFixf28uXLoGgB\nlrgraR8AzFwjcbDf7wdLWGVSjOBlXLxs67larcKSL5VTShobpa0sVaP/iF2q29gnmqFIoYDhAbi+\nvraDg4NwipXZ7QYkuMMVyPL5fADqdrttH3/8sR0eHgbF8Ouvv96aZ/Q9fcS7gj/JhZeXl/b69Wtb\nLpf28uVLS5Jk6+Qmr1yiqP34449b+5YTOlD3vSoljKUmhhL+QjnSZU8KynymL6+urqzf79vXX39t\nX375ZdgIJO2UONpPWIgtcjUslcYHv5QeFZA9g6sQM9sd01WtDPLgo8yip6GoFaBCOyYsH0L+Om+5\neyHCoC8WCxuPx1ubMKiioPfGnvc+XCAe4FTjVhD0QK7vKsD0lQbIKBg+Huu1510WstZ7l/IUs67y\n+XxI1tK12X75jlcCsGwYRyyKXcplmvdH24Ql6hUABfRYP/i2617NXrnzfLmLj1RZoF70D3sm1+v1\ncDrb3t5eEIBYpGYWBKmZhaVDWMSsxfbLymLzO62ulMOmG+zyp/+rtaJZ7rSDc7ppn/ZrGtGHCpTe\nm6G8r2V69yvl4SkhJs6e3pC36rRc5Bp5F4PBwMrlsh0cHISsa7LlUbhV+dB+rlQqdnBwYDc3N9bp\ndEJGuPKzys+Y65qYdq/Xs0qlYsPh0NbrdVB0vaVMOVjVb968CW5ilF9v3XrjR5Mkde04/GV2hzca\nOuF9tVrZeDwO28eORqO39irYNQ89f2jdHpMeFZDRTnXtmy5DUlKA0J2F8vl82GghBoRmtx3PgJId\nx2BoR2EhpwEp9dhljep9mtmn2tFyubThcGjX19f2+vVrG41GIfOTdrKDFGV4AIkBUqx+/vMuwaKa\nL5PaT9AYWHotWV3xCGESYmIChHcd+11Kjnez8Wxvld4HYqqZ12o122w2wSWGkEbTpS94Fm1ScK5W\nq/bkyZOwBlQzTFUJ1Pp5wIFv0OQZa5Q4FYAANpOcpCRcdMRzNWEQ0rXB6rr2/M7/6qrGRV2r1azb\n7Vqz2bTj4+Pw+vzzz7eWlwAO9CUWMrFkErxKpVKIMasL1AvcmEfG7FaOdLtdOzg4sKOjIzs5OXnL\n64UljSeGjHNdm53L5cKaYuZC2ryhb/AyoFBjRemc94pZzJuUJElwd3a7XSsUCmHDERR1vUc9GfxH\nOI7ErG+++cYuLy+DstntdrfkJn1KGzRMVK/X7YsvvrCDgwP7P//n/1itVrPvvvsugBZyws9leJZl\ngWdnZ5bL5Ww0GtnJyYm12207OjoKFrkaHcvl0sbjsV1dXdmf//xnOz09tW+//dYuLi7CFpXMQcZW\nkw011MSZCM1mMyg4KIokjKkXKUmSMGd/+ukn+/HHH+27776zn376aWvZlc7dNEDWeaobMD0mPSog\n+4QNryneBzjqro1p0gri6opTrdTHpaCYm3QXmKWBlpatmitZg8SImEQQk0O1bAVBXz9PMdB7CHkv\nhLY9zfL8pRay3qPXxeoSc/nGLMM0sPMUA2a1sNQ9qqDonwVvceIPLs9Yu307dlnyqlWrlaz84GNT\nXkiohYzw5X+sBe3HGM/zv7cuvRXijxNUgFNLlMMssIhJJiLDV8EgNk4xXtV+oc3q1YjxjQK8Wv2a\nLY7wVMDzY+TniI41vA546Jz2vOCtvVwuF0IEtEktds9HHhCUN1F88MJhZWIZq+KtvO3nRKfTCcpU\nzFDxdTOzrfkxGo2s2WzaYDAwMwsnuKknyMxCAmCv1wsbcOgyPO+qjhlS3kJWj5cmqCmwq9drtVqF\nUKLK5zQZFMOI2DzVZV+PQY9a2mQyMbO7Rf1MXrZ7U8vQD74yEExFY9WdQ4IFSzlGo1Gw1tSaoEwv\nbLzr0G8iosIMJvUxAwYZy/zs7Mz++te/huw93QxEXXbqblTFgbr4hKcYpQl+LSvGVGxlyDPUnawA\nYfZ2VjlZkSwnQlOPAbLeRyKXWtrL5TIkvOmuRqrZUwfd9lCFQkxoUQbth9dOTk5CzG04HG5lZfrk\nKJ6JordYLMKGFLp+FQGIdo1CuMtipn1o+So4sKCwLvQQBrO72CvJTSh6KswYV56JIkFfxOaBCjZd\nnsU55gcHByH2r0Q4ANcgApF5V6vVQqLX1dVV6HevEKnXC57hUAr4VS1jxoA5qBYq/Ug96Dd4rtls\nhmQ6+ElJLW1eqnCTG4KM8+GH2LzUOQEQmt2eG398fByyvJWXlIfVbZwkSfA0XF1d2XQ6DZY2HgCU\nJFWamP/wE/O1Wq3aF198YcfHx3ZxcWG9Xm/rWZoA58sgWRDrlg1L5vN52IpW138PBgP77rvv7PLy\n0v7zP//TLi4u7OrqKpxiRT0ZQ+6Hb/EOceAHniLdU4Dxgm+Up0hEOzs7s++//94uLi6C/InJfpUl\n3ojCE8F8Sdux7pfSowKyd8F4N0hMgJq9nXqv2iaZg94y1pfPrvYamrcIfPwwBm56n9fqqQvP5zQe\ntK/YaSjqJfCWkFcCuC7NcvWftd5p1gfP965D7TdfLpNXk+oUfNIAmXsVoNLKUfekp5i1ERN2nqd0\n3Ih3rte3WZa+b3x5+px8Ph/ifLq5i29/mpUcU5gAQtzj/OetO1WUEG7ERFmfq0vq4B0VICwJivG+\nB0XNUMdVSBJcTFCpxcLSmiRJAihXKpWQDOMVTT836XcNIdAO6sG80zHyfa7l04+ametdmUraFzHL\nVPkWQFKeTeNNLR9lS/tWn6Pj6D0aeg2rNpA1/uxoLct7xtQK7Xa7QYEieUzr45VCwFjbW6lUrNfr\n2WZzGyM2u8UBFPHN5vb4z8vLy5BhTSKgxtB9/+tLeU3PR9DlT96jAR+hgGEha4gzxgc6V9M+q1fp\ng7aQY4BMwxVszLatNxV2aHGFQiFsOj8cDm0wGNhgMLDXr1+HZQO4itU1rDvY+AmrGyBonE1BxXe+\nCi/qiKtoOBzaeDy2y8vL4Kr2W/OhUGAZqwsNzS4GCgpGvs98/6kQiiUuecDFEkmSu8xIytR6MH5q\nIZMI4Tc70fvoKyyp0WgUsnB1wwPvXqIMtQwQhmkgp0KHezTWqZMnTRFT61v7Fk8HmzywfIU60Qas\nG8ZeQyg68VEQdAObQuFuNyUEo+6ZrHOm0+nY4eFhsH5RTlWw+LrlcrngPlarIyb8FJzr9XrYi9kr\ndxDXwsu5XC5kFDcajSCw1bXI+CovK79BZGszHlhkWk4aT/A/VgxnsvvcAW0DwtWDUJIkYS2wWsh+\nCV+MPJ8xRxuNhh0cHIRMa42desXJywQze2uTDmKhgKoaDar08zu8yE5kh4eHdnJyYufn5zYcDt+S\nhTonVJbPZjNLksROT09tMplYu922+XwelA0Ul4uLC/vuu+/s+vo6eExim3Cou137Sy3kVqsVPqvr\nn3mCbOMz31mPz9InNQa0fTEc0P+R43q4yWPSo8eQdRBVIKlm7C09rtP1g6p9TKdTGw6H1uv17PLy\nMhxqjisCN5fZXawtNmnVLQXdpyXpi0nBhBiNRiFrTxMvdrksfZxO66naLXXzgEpZsXr6eKC/Rvte\n3aX6fK5BUQJomFyAT2yTCV9P3c8boaFrDn1bffu0fC989Rq1+rX+Zm+fB+uFZ0yr1v/YrlCvVUUh\nDYDT6sy4kxyD1Yw1xzt8opasHu3HmOiSjSS52ykO6x6h7MMuvi/4zH/sg6xzxZO3XgBgMwtufoAr\nFsOPKUe0AV6B4D8PwDreXrHQmK0mvXn+8P2i1yCfNLGRNdeq3Ph+VDCF4NNqtWqtVsuq1erWHIhZ\niVqmzstc7m7TEA2dqCKPsqoKqvIiCgvn1rODmF7jecS7+guFQrCQB4NBsKJRAm9ubqzX69nFxYX1\n+/2QZ+MpNnd5vspLNqzxu3WpPIB0riKzwIuYIrcLiPU6n6PwmPToO3XpxMD/T0xMSV3QuHjRuMxu\nG85G+JeXl2G/0X6/H7a+415VBLCEze4OgaAuGhsia5YMP52gsYmglg4uIk2hx2qOxUS8lre3t7cF\nyJSrYKUJBzoRmGDcZ3Z3eIY/YIA2eNBUEIq5ndXVw0Snbh6Q0zIU6efVahXGUeO0fvcy5Q8fV/QA\n58FDx0oFkLruyuWydbvdt9zM3pOj96nw6/f7wU1J36vCkgbQKhR07BgzP7nJXMbyxIJm5yh2i4Jf\n/MEl/Ea282az2bJQY3HbWN39mNxHqhAqEPLsNJe1CkVth9ndmcBkaqsA9EpmzHPilV/1BsUsY28w\nUA8dZ7J41cJTmXef8oxRQH6FJj7GjIAYKcikKa1pHgSvjBSLt4dp7O/v288//7ylBHmlyZOXEaqU\nqtxQV3+sHF+mGgfIbl1/jJzz3sBYGd7DoApHbIz8b7Ex8S70x6RHB2QITYKJkAbIujUc69kYOCyF\n8/NzOzs7C+tDcRsDrDA05TLBYBKvBQPoALK3Yr0LVwFzvV6HDT8A4/F4HDaO14QRyiNhp9lsBuZH\n+GrcD7ewzxJUQFYg5j+AHVeRJkeZ3bkxlUG5Vyc27VaB78GYNuo+wDFhSJ2J3fKfPlMnHqR7A3vF\nwVvReD100vFdM2pxnxO77fV6W+2OgSj9hdeGrFYOOVBBiHKR5rJWsNf4ps8YpY5khTOuutSj2+0G\nq1cTCzXpjCxctpH0azYVeFR4anyUusYoZvmrVcozNbtZFZmYwkuf6wsXI6c3YYV7S1LrpHzG3NMD\nFrgH/tAYpC+LMdMwAIDMkkbKUkBPA1R+Y3Ma4u8ofd7bRV08xQB5FxjHAJk5UiwWQygEr4aOqcZn\nebaWo6tcFIBJ+vPLBO8DZJ2z9C84Ahizjps55L0U2kaVeSoHdUxiyqf3Lmj5ylcfNCBrZ+sEjQW+\nEeqAkGbw6rq0zWZjvV7Per3elosOCw1BBBUKheBOIm4GwyC8fCyUDgdEdGKphYpVzl6+7BGsm4B4\nF71qU144AJ5qDfN8b115ptDfVKhA3hXo3csKaDpWem3M0tNXDChVkKigXS7v9q7WNukEV6+CV7Ji\ngKzP1OcxmbjXl+WXysWS1fzOT4Ab46oCSoE91k/6H3XXhCMfalDA1gQrLAMFL3gBgOb7er3eWlWw\nyzoG0NVVzNxE+DyEvMtYE8VQxGLCz1sx9O96vQ7Zzay7Zj7Dr2lWpK+LWlKEaeAdP9+1Xn4MlVc0\nf0E/q9yItdcrrZvN5q1YL9dp//j6eaVE661AnGYhQ4xxGqjpbyo3zCwokLprFrKOtlWrVWs0GmFX\nufvIyywdz7QkxTSPQuy3mEclNl7+Xa9X+f6Y9F4A2btm0Ez1utlsZoPBICRszWYz6/V6IWv55uYm\nJBl4kMNVggXjtSAYfTwe22azCYKF7wgeBQQmBMKLSYdWf3NzY2dnZzabzez8/Dycs4qSQAo/wl+X\nOOnuR6Tuw6RYMhpvA7yY9AhX3qkbAkmTgPx4pGVFK/DjiqXOaLLqPvfWiyZlqdUDoKgQY/cmXjGt\nnnHQ/qcN3hLgWVom1+qkUkub7+v17bFr6jJXDZ53TdSiDlhGAIL3KMQysdNcdngz/OlKetYu751O\nJyz3aLfbttlsgrsTq4Z6oeTl8/mwpaJ3H9MnKLb5/G2CTi6Xs+l0aqVSKeRssF41Zj0qqcBcr9db\nuynp9pYqI5RPFfgYr+Vyaf1+36rVajhpCtKQjI4z96rA9FsvEkLzSgrlUY4qWuqyLpVKW54TrE0f\n+9V5oaTKBIqQB+SHggHzRcfGj1Ma0NJXummOlx8euHhHeST5Dx5lgxk1QFarlR0fHz9IuaPf8/n8\nW94aNW5UwYp5S2J9FlMy/LinKfqqhGsffNBZ1jFtkN/pXL5rkgRuDT6jEQ+HQ+v3+6EcHVA/WSgX\nYU75xWIxAIK6FDWj0w+GCnA+4y5nPSvgjlDzy1j0s59kKoBijOJdagpAWhbtVuvTWxvebapuOM+Y\nKDP890tdYnq9mW0pAiooYu88V8fU36OCgT5US1vL8laLWoP+eQqg6oaGr9S69h4FHdNYG/U/HWMV\nJipc0qxllB0sGgQC5eIuVOvU843ynFp+qjzgntUQiRd4u4Sbb4dXjrx88GVRL3aH85sAeYtU6xWr\nhy4n0/+8ZRUDNK2fD0HEAG6XHNS66W9aL18f3zeeT3yIzfeD1kvb9xBSBYdnY7j4bU19fJc6ckDI\nYrGwer2+tUNWjNK8TWm8lsZPnnSupZV1X/vfN72XpC5lZuJc/X4/rDtLkiRs9D0YDKzf79t0OrXr\n6+uQlTefz+2nn36yy8vLwHjlcjlkftKp6u5lwpjdCqZKpRJixZz2AuggEEn0QNvSd6wHrOuvvvoq\nrKnjvF0EA5mtWChYm6oNcx2bmZB8A1gheJIkCQKYuJl6BHApYp1zcky32w2aLoKbNvtTXRQMsLph\n0pjF5yeECnN1uXGdJtoh7L2bzvNJDMy1HqpEUI5miXvgiVkObCoDqJrZ1rmzhDXUA8DYaPwRgaT9\nEYtJa1xWl8TR/3hF1L2MQCOTlGU7uK1pq8b6AT7mxWazCdazuq01tg7/JEkSDiuYTCZWLpet1+vZ\n6emp7e/vW6vV2rLE/Fh4ZRKe0h2/NKHKW9cxGcIY9Pt9K5fL1u/3t+LRzHPqFANmneP0H9fDN15B\n0fYo+FJvxlGVMn2+7wvKi4GsEv2W1hc6/3zGseZdpIG5grJXFOHRXeOisqJQKIR8hidPntirV6+s\n0+nYkydPrF6vh3HiuWyuc3V1ZWdnZ9bpdOynn37aMrYgZBzhCjPb2lkrre+0zbF+zuXuvJXMbX+v\n/+4/a/9pIuhj0qOf9qSVVoFELM7MgoAjmUs3+dBlMsRnmYRJkrzlnvXWl2r7Kmx0mY6PKVEW7xoX\nYCA4ckzPgKUMnqvxspgGRl01k1HdIkx2rYuCC+++nzWu7uOpPr4ZY1gFTrW879NO08qJaeg6AbRM\ntdi1nt4N6d2ZvFMu7eZe/awgrwDJOMdAU9cKK+BrEo6fjF4AplnO9EMsBuatHx8HVhep2d3ZyWmW\ncVqczYOO9w6wO5UeIOHvTROO3kLWeRYDpxjPwH/ei6ZgqPPAk+9TtZDVGtX3XfXR+RYbT98vMast\nrdw0EPC8BGm+gSpiuyz9NKWDtsQ8Zr6PvDLKMrxWqxVc1RgEPrba6XRstbo9gnK5XNrl5eUWaKcp\n+z5uf58s2kV+qWmsjX4MvFfJ7O39LR6THhWQWV9GLAsLgMXi7He72WzCmjTW8rLRxnw+D1ubsT0m\nTAAgq+8ezc53kroaLy8vg4bEspJ6vR6s4EKhELRnBBsTebFY2Gg0ssFgYD/88IMNh8MQgyQmFTrz\n/1kFPmajngLqpK4mGM3HttFEddJhWbMkRLcNpV5MCJ10agF7gQnAsAOQT8JRd7C2SQGU39W9qh4E\n9U54QKbtWPIao9WjA1EUYoKH8nxcl994vi7Xou+I4aMMIgR0wgEqjBHt8JOVOu0SKsRYNe5Fuxgb\nvCyaOa+gpsv54BXe1b0dSxaivzRGTkIluy1dXl5atVq19XodtifEO6XKkxdsvEjqwV1JPNzz0S5a\nr28z9EulUjhCk3j4ZrO9PaRXPMzu3Kt41jiQAG+ZF6heSVSPiCqtPpQTAwmvfGkf8SyVSZ4X1NOk\nliEyodFoWLPZtHq9vrViI1YHnqXjjkxYLu8OxsEi1bpqHB45yaErn3/+uR0dHdmLFy9CbozOfe5f\nrVbW6XTCtq+Xl5ehTihbMQ8Y83MwGNjV1ZU1Go2wggADKA0YvdKYz+ft5cuXls/n7csvv7Q3b95s\nedHSQFn7FDlJKIfliY9JjwrIui9xkiRhqzIzC0eGwQxsM0mGMto42cu6+TjMT2ITz1Dhzsvs7mxU\nOhOGRinAZUhZaul6Bp5MJnZ5eRmSXEg48wLf18cLaIRfLpcLZ8Ryjbo3lTmZZLp8RGOg3o0DqMXW\n5VFfb8FoewFCkl4eInD0frVWFQh4vlpYftw0uxlLX+P+qhhoX/PdW8ZqUfB8TazS/vI5DFwLqZD3\nMcRd5Nvp74u5KHmeun1VuKnAUL5Ta9i/0qw1+j2XywXenM/nVi6Xw5KjSqVio9FoS9Hz468WoVpS\nuIt1N6VdMbxY/2GpsxKDsdL56/mCz7yj3OhWi9yXZqHpXPGegZjn6JdaSn6u+OfAuxAKBrJME/X8\nOGtZuyxjZK6eHqb101wAxrPdbod94jlDGyPHe2pQzGq1mn3yySfWbrcDKKoC7fuRec8KHD2MIk0m\n7aJut2ur1cq+//77LUWOftU+9n1AfVAwkMHq7XwMelRA7vV6ZmaB8QneN5vNkHHHZMTti6WHhcy2\nmNPpNGhIdEiaNg4p8GjiFuUgbOhEMlWZ3MpIDPxoNLKzs7OgIHgN2btM/cu70BUYYSrN6FXXOsxc\nKpVCbAaLEXe/B/GY4NYJ6ZNBaLf2J5PDu41Xq1UYUzZnp080kYO9h9VK9Np/zELGRblcLsNyF43T\n+TYoLzAOqhyosqBJhHxm6RsWsoY5dFy9oFcQ1EnN/5qnoHwQAwBvSe9KpIuBgNbH1029MH7+6LN1\n+R/rbNmEp1C4PQIRD5ICgBeKCsYouFhOjUYj5FX4uRMDE/pOt6wcj8fWaDQCf/l1zt4y5nOxWAwr\nHLCQdc8AD1Z+jHSs08YmRjHlAAWeerEda8y6jcUo8/m8tdtt29/fDxa/39NZ+c7XD15jzGezmX37\n7bf25Zdf2sXFxVZ71SWO0UKm/9HRkb18+dI6nY61Wq3gudB7KIN6VyoV+/TTT+3o6Mj+/Oc/29nZ\nWfDkqcWrHjeUxH6/H3KOzMwODg6C8aCyV/ncK4zsSqaeUS9LYuPnCfkR23Hs19KjAjJBegYPUB2P\nx0G7YjIDcEy2m5ubsONVr9ezyWTyVseaxSevXqOuD77PZjNbr9dBS8aK1PND1U2az+cDIAyHQ/vx\nxx9Dwg+A7C0xPwlUA8UKA0C5RxO1mCAAQpLcuqdYDsVWe0xSrAWABFCDvDCANDtXXdMqdChHtyCl\nvigCuMcBZo5eI1Shk4Ty1TLzlgb9CrPjpqpWq9bpdLY0Wa2TCknKpk16jyox9BlAzLj6zQtUuOl3\nD8g+58CDOH2gYKt8qy5gr+zFQJn7fJ3881XYxEBDrS8AGSUI67hYLFqv17PFYrF1Nq0u91DFgOfh\nZdETejiAQldbxEj7nWVGk8nEarWatVqt4DLUBEizbQVSy0GJQClQT52vR0zxoWz4K/Z/rA1aB/1d\nAZnEOz/WXmnRerC5EDLBhzTS5CP1V5k0m83s+++/ty+//HKrjsgHfY8BMhvWaK6Az2NAkcvlcra/\nv2/T6dSePHkSds5j3jGXvUcMQOY8A0JZhCzSwNgTG/ogV+GdmFLpv+s15EShdD4mPSogE39iEBF0\ni8UixMJIysLSUleUugyxDAFyPe4qptWkWacIewY8Se4SygAQBLwys25IYLa9FAlmiQle74r1mbY6\nwXzmtAdkBUhcJfxHX6mFHGMOL6jNbKsdCloIVt7JLKb+o9EouC/TvAW+zblcbqvv06w+H2v1y28Q\nYNrXxKd92ToWfNdNL3wSly6nUQXL7M4a1x21NNHKWwHqmvbCUYFC66jtRlhov6v17JUbP8axl84P\n+sv/pvVQXsSLZWZhzqBsxQDQ8xjr7dltDL4ye9vVrH2lbkJkCAqVbl8Jf6HAUgetH7/pFpoKgmky\nROvmvUW7rOO08VArm1wFZJuud9dx0XoA4ByygExNk4nKY/oZmcjhFN7tqtaxD39gZeKp0CRbrwjE\n+pIwjMpzTVRUBVItZvZ66PV6QRkjT2EXCOuYaCw8VkcPxHqNfkeekUvymPSogPzmzRszuxNixDo4\nVQRmYjKpwMXa0h2vGHRObMF1a3anqZq9Hc9UNygxEoQbQlSXhGhiE+WQ4U1cRd0jaoF5QRIDFwQc\nwIIASQNk6o/wggGx6GEGrFN2kYpp7lwPs5OIoEqFj6d4S1ZDCxcXF1vJQFzrE0Xy+XxoCxMH8qCp\nShN9wIv7fBIF7aF93kKm7epR4EQuFey6HWjM6kQwIXx0RyKEkU8wpBwmrPKV9gHtVx5RwELo8A7v\nxLT2GAjsAhHvWfDLu6bTaVBW2T8el28ul3trz3SercJ5s9lYu922QqFg+/v7tr+/b6PRKJyYpHwe\nAy/6gMNkyuWyjUYjq9frITQCf2ldFJwAF/aS56VjpUqO8qSWkeayTiPfFvVKkTx3c3Nj9Xp9y4un\nMk2/095ms2kHBwd2fHwcPA8aS44ZCcpvquD0ej27urraih174NKd5IrF21PPjo+PbX9/fyuJK80q\n94CMl4SktPF4vLVZDf2uCsl6vQ6e0x9//NHW69vleeQU3TcW+myzO++N1jF2fRohL5Avj0nvJalL\nXZYwB+ABsKH5q9XCAOBORrNmLSO/A2Zm6csE0l7qLo0JKUiZEBeXam1c458fsxb1pVapuir1WhUS\nCEq0WPpTLT36zscpuV4tBspVxlcAph3Uj2erFRlzvWr9AWTqrHX3lGalaQ4AmjUuIiyhmGD0Ashb\nfroW2CdoxQCZ/ou57/Q796n73bsR9cUY6wsL2f/uX2qV+/rGfotZXDoeajnHxkEVA12JoMqcKgQ6\nN7BKeelmI2kWva87faqKq1/+pCCaZuFqUpJX6GIyRNuzyzr2At0rRx6QqbOZbfGRly9KgCHWaVrs\nOAbGsfkwn8/t9PQ0rGhhzLxV7Mv0uy+mWcVe2fdj45U37Svft6o0+uS++4BYx47ntdtte/r0aVD2\n/LV+zP288srNY9KjAjIZ1RrDws2y2WzChGTZAo1Sd00ul7NOp2NmZi9evLD9/f23NshAY2Jymm2v\nR47F4czeZkr9zzMHisN6vbZarWar1SpsMsKzY2DMAAFKxDqwcnUyqoWsApD60S6YQCeeJlSxZEXd\nrqoMYSH4ia9WljIi91OeZsGrRasTR13tWHn0oZltafBqweh4rNfrLTfpZDLZikElyV28UK16tZBV\nmaBeeF/IW2BC+yx+7QMFYXhYtz/FWtE2MnbwPWODZ2azuTv4hPai8BHP22w2YTzJxldXnh4e4pWt\ntJdX+nTsveBEcWGeso3mer0OJ03pUj8FO7VsUVKIc+7v79vBwYGZ3S6p0jHSNmjckfrc3NweBlMo\n3J6tXavVgsVIbgjhBPhd+Rr+qVQq1ul0rNvthrmDJy1NcVEeY4xjyXfaHwo28EehUAhxdORKPp8P\nuRfUg/njM6/r9br9/ve/t/39fXv27FnYrlKzrWNJSqpsI2tZWvov//Iv9sMPPwS5ret01Q2u8pzs\n6na7/ZYM0XftN1U0NF6sFj1jzr3eeKJ/rq+vw8Y1Zmb7+/thsxwlD6zMyVwuZ1988YVVq1X79ttv\n7U9/+tOW18mTB2PtV2TLY9KjbwxiZludymfiT7rFpApjCLdqPp8P53QyWAhsNHQvRNM0WMhrrsoI\nsZgJ1oCZhdgejOQnorfC015pmnbMYqdPEUzaBh9rZbJ5QGYi+MxY3zdp2rRaTLE6qqsYpQDXKxqs\nusR00sXGzFtnCrbeIoqNs/8cs7rTkqc8b6RZyd5CBpCpKy56vwREAdK3N81S9jFk+MG3Vese+x7j\nudh/2ieex2L9lzbHAAVA0h+ooiCX1udaN/VyaD3UG7HLncwY6jIsX480PorNi9ic9f3uwRleMLtT\nepWPNpu7lRUKrPBYu93eAmG/uVEaqPjxZTVBr9ez6+vrrf5Rfo2Vh3Lq96SO9Zd3P+tLeSX27sef\nuaWrIXTHrYcQbWw0GnZ8fGzX19epIBxre8wbgBH5WPRejl9UBsBqZQs8YoGqTasVVyqVrNPpWLVa\nDSnyuk50NBoFi7JQKNhkMgkg57VW3tE2/cYgjUbDut2ulcvlkA5PHTWuRxY46fJmFq5RV7tajoAS\nDIRWbPb2iUhKygyUCSCrwkOWMJY7yor2gS5ZgKHVLR57ro6hXu8nlHojuF53XNPYJ/kDmoSiW4sq\nr2C5YiWrtwJPC9YXAikmGDV2TPx4MpmE2LEKdu0D3tXNyJZ75EOQoNRqtbYySKlHpVIJiieKKEom\nfKthGrwpnHLGWnnar65O+FDzGVRh1d/Ue6DjSBu1v1Ro+sQuch+m06klyW38TxUUteh4Jt8Zq729\nPTs5ObEkud0PAB5WoRaz7vmfrFZyGfisCh8Ks4KFzqdSqWT7+/thQyISq3Q5YgxYIfhT10KrceCV\nOg/EtIUlnovFIhy+oIc7aPYu9z958sQ+++wzOzg4sKOjI6vX62+df65jzpjyjvLCIT79fj/MXcCd\nBDOeqW2BP1iDXKlUtmRsDLy8UcZ80ITUNEVY71GlfD6fh6Woy+XSXr58ufP59CE4kM/nrdPpWKFw\ne6yv9tN9VnIa8MaUkV9K7+08ZLNt9yHuTt0NSl1UTJhyuWydTscajYYdHh7a4eFhSLDSzEoC+t71\nGbM4vfbnM/1INkPo8xxNsioUCqHugGvMQvcWo7fCvBDUd7O3XS2xtiVJsmWxaIKcB2RNOFLrTGkX\no8WuT7MUdAJqvkC1Wg3aMs9Td5VX4LRdZncZu5TpFa9Y/Ty4xDKqY4qJ9okXqMo3GosEkLVfsAq5\nHsUBwaxJhGoZo8Tl8/m36ky9fZxNAeA+S9N7aTypwqU5AfQjrviHumz5TrY1O3bFLLtYG6i7Wsg+\nWz7mQk6rE4cheCtZeSdtLuhYxfIPYvemtYW5itKnYMy7KoPtdtv29vZsb2/PGo3GW2dcx8bcjztj\nSXIjvMBzYmX5cjCc4OM0GZYkd6sg4CuzO89eGu+kgasqZxhJLAPV67S+XjGhPuxBj2F435hp2fdZ\nzb+W3isgQwhGMwtxVN2BCKFF1uDLly9D4J3MTBgGUMRaUo2QAUbQwgQ8B1dPt9u1k5MT63Q69skn\nnwRhoZopsUzi3ZrUQh14ppmF9gEauiQjTWhxP5OQa2JCU69Xd6IKbHVZe9eQusy9guLjVdzjFSZl\nSu8BQdvV8lGibm5ugmaNhZkkSXB/eUVDM61pP14MJqb2Ywx4NMNeM6tVmCtAadu07Shs+q7WMm3Q\nMnQDe9b1NpvNsJQOi1AtDwQNvJckSbAKWQOsCqnWO826TLOQUYjpLx1PrNZKpbLFX4wHvM2Yxlz+\nyjcAb7fbtadPn4YlkGpZagzbg7nyBfWYzWZWrVbDkZF4o3ZZq8iZ/f19u7m5CZv9AFCaJBeTX4AZ\nWzdinRO/9MJfXdPUiXFn1z+yzZGHKAbr9e3Wqo1Gw54+fWq///3vbW9vz54/fx4sYx8OiQFpzEK+\nuLiwf/u3f7OLiwtbLBYh9q6besQsRZUfPqlSFW3lKR1beA8vD/NQlWKdE17+eaWdTWu8hytmbKgC\nCx+AB6yh3uXy/63A2Ow3AmSzuwQOjQ2abZ9DzCYCJycntre3Z0dHR9Zuty2Xu9tXmQ1DVMv21onX\nknWpE5sLsAzj2bNnQcDCLLh2YHSAGAGAxbdcLsNkM9tmGk2LTwNkFT4qELQ8r4GrcNU4ms+49t6B\nNKEZm4R6X8xygWJWg05cBN1mswmKDRNIFR3Kgk8AAd21jP6OLcZPq5MHdwVjdd960v7BEsYi4btm\n/sM79BFJWhwhSmKgF14qgL2FDNCUSqXQF7g3fdKS8lTM6tR5gVCMWTeqWCEs1TLWd7VMPZhpXZin\nLNfp9/vBpe/d7LEX5N3ojCf18TFk5WNehULBOp2OLRYLa7VaVq/Xg9K4K4wEP6EQsD9/LneXvKhl\nqMKEwq1zmm1J2Tta7+ceFNWPP/7Y/vEf/3ErROIBJOZV8POBuXd9fW3/+Z//aYPBYCv84bc2TSuD\n+mobaXPMuoXfUEb8PgDewo2VofxKPcbjcVAa/Tzwdfe/YQwSuoTvlXd9eb8FGJv9hoAMMYl14GFI\nrA42T9fsSV4+AUtBxLuHze7i04VCIYDx3t6eHR8fW7fbDTFktRjM7g6KQFtNkiQsufL10TgqTKqJ\nJgpw6kb2MXRNYoI5vcXrLcE0V7i6iHkGz9FJqPVRDRNBgpvKW12+zxVUdCcmlAH6kuzWfD4fNgag\nzfpCAHpgiY1rjBcA49hSJ+2vGLh7IR5zWwPOuBQ1ngpwIvgB5PV6Hf5ThcD3o3pZYi5rbQNjrFZS\nzEKOzQ0lb+Wlje27ZhnTL/V63fb29qzdblu1Wg2be9BWXt7y1/7x4YzYUrw0xZc+AtharZa1222b\nTCbB+xYDYmSWZp+Tu7LZbMJaaK5DgVJFHmHPMbM//vijDQaDkAOinj7kEEs+X7x4YR999NFWzgBt\ni7UxZh1TN/IzhsNhWMGg3gxeKgvU2lVAjj0jjVRueW/NLuU6RmrwqHWsdY79pv1Dfx8eHto//MM/\n2PX1tf31r39963ANX6dd1vNj0W8KyKppMvgIFVySLEsgVqLZmbywEhBAZtsxWwASRkWINpvNAMa4\nxY+Pj0OSjd5HObilcrlciD3gqsOlqICMJoigUQDR7FwdSM2w9NmWmvgTExgelNOEr+8L3QIRQKZM\nNFqsJXWPqQKi/a4WKW5ZNrgYDodWLBZtMpmEE1uSJLFmsxnqoOEGeASBxoYoWj8FSN5VgdGd32K7\ncXkvio6HggpleyDG24JrURMClQ9xSzabTUuSJGxIQ11ok3oPUEToA98G7a8YAHorOabYqZD0/BRT\nELylrElp3iOjyhL9Rgiq1+tZo9EIc8dbe97q03mlHg/e1UL2eQHeeiwUCtZut22z2dj+/n44xIat\nQXlWmsxig5IkScLGHhgSJC6q+xdlk6z7v/71r3Z2dmY///zz1gY7ZtvrtovFoj1//tw++ugj+93v\nfmeffvqpmZmNRqPANw8FQ+boarUK9b+6urLZbGatVmtLMffWMXLQW8jKV7vqoAqj8pvKi5gFu4so\nT9che4VEf/PeErO7lR7Pnz+3f/7nf7affvrJzs7OgtcjRu/LIvb0qIDsBbsOov/dWyfeGlHrjv93\nCRAPTHoPZaow1S3nvDDwQsG7d/1rV73M3l7T6gFZrWIz2xK2fhKkMcZ91p7WwceNYuPmLVCdsDH3\nXszCpR0IbuJuWJXr9Tpkt6tbj4mkngJ+V03e10+VqDRSsNG2ep7xrvwY8PkxVQ8Oihw7zfmDEHyo\nJaZMxfpTLZXYOPuXH5sYn6Tx7q76PLRM6gBw+b7YNf9i80oVwLRkLi9X9LMmSrHLle6xr4JcP6vX\nBkszSZKgXJrdAg0Kgo/rrlarAMYcdejnGv1ErPvFixd2eHgYwjuUGZOrvp/8Zzw2qtir4pYWkoqN\npypK/nPsXcuKjVFsrHa1TRV3b3T458bK1j73m5zEFPNdFvJj06MCcrPZNLM7AUDMRckLF29BqtDS\njvUT1wsq1Y6924tyWebEjjecGgPFhC73JsmdyxoLGcGim4RgIVMnEjZ071aWwGifoMViqaslqu5N\ntU7vI5gO641scg4VbzQaoa/N7gQeVj9CQDNb1SOg9/hYto4Hu+GggQ4GA+v3+9btdgNwdbvdrSSf\nJLlLMGIjCq9M0KcaXvD7enthkyR3p2ulCbVCobDlQfDgSx0Q5mQO1+v1rXgqCUNJklir1bLNZhNO\nGiL2qG5r9a7kcnfxtrQMcXVRI6gV8Gm38hWgsUsw+nH1sWSNZ3tQ9PwHkYx0cHAQDohgD+eYVe+F\no/KYLseiPriGY14hFdScrkRyF2cBMx4qfNWFC6CxxJA5RRiC9qmCSx+SUPjv//7v9sMPP2y5p8lY\nhtfwvHzxxRf2T//0T2FsWTqpbdH+vm8cp9OpXV1d2Wg0CparrgDwgKRgq8+h3qqo8LsHY18PXrE8\nlzTyz1ELWc+C99fHytDvZhaWeDWbza0cgLR6/Bb0qIAMYOnk9CAJPUQgeKs3TctKs7ohbyGqqyyN\nYlZR7JWmyftne6tK70MQe8ZTLd1rav6ZMYbR+2LWnK451P7GdeqFe5rAvG8c1IIws3BaVKlUCm44\n3H3KL4CO1+i9u9rHH2NWtAflWP2U/Nj6vlfLQr06CsgI7diuR2nWiO9Dz/8PsUb954fer5Q2v96l\nPloX+kp5MNYXMd6O9U+ale6v86TeMvWUeW8Ic0+9QaoU4Gpm7Tj8pwouygprnnu9XjgXXpctaXup\nX7VatWazuTUf0yy2NKtQ+w6Xu4YL07wTvrxdVmPsWbG6xL7HQHJXmbH7dbx3UVr5Xjbsuvf/OwuZ\nLS+ZIFjI6/V6K6PQLD1epW4hNM1Y8oa/J6aheyuXzFg0TbNtizamXXvXqAe1mOuNZ/vnAjreQqb+\nfqkUQEp5uyYRdebdCx4S5vAOdLtdazabW5NQE+40aQLB4ZdaKLi9i6AmsYv3arUajvujHCwgMwuH\nCWg72JyDE4R4aUwaSxNQx3pGeHoNPaZZe/D1Sg597AUr/dZsNm00Gm0JOq9EQFq3mGs25qaN1dXX\nk7H17uWHAHNaPe5b/5sm4HAT6tKdGG8zP7SMmCdG49sxl77nQ8ar0WhYp9MJLzYbUfBjvlMX8iIA\nXq5XxYv6Y1EvFgv78ccfbTKZ2NnZmQ2Hw3BaEwpxktydOqf8xH/eCnwI+Xk4HA7t9evXYevJmEIb\nU1hVnvHdx5r9tR5A/RjE+DZWjl7D+31lv0s/6RymD95FUXgf9OgWstn2IvJc7m63qrTO9ODs3dBe\nE04T/tqRnoEUnJWhdmnUHvRi1rG6tbyWrwMes871etoHeOyywO/T2Dww457y7l49PUqtS5ItfPz4\nXSzkXbTZbMKaWz31BiGdz+e3xh7yMXAEl5JmOmu7KTctVpbWx7u+x/pCiedrHWP3xYRbTGFNswRj\ndfTj864WRawuafMvdn0a5XK5VAv5PsuLd63HQ/pFv+t80HmgYKp19aElFHgUABRvwiXQarUKp9e9\nefNma3cwdq8jROOVw5j7OA2s7iPuvbm5PW8e1zxl3df/MZ7aNUYx5VaBNCZvY0Ab+/0+S/ldlRbf\nrlib/W/vG6AfFZDb7baZ3XUScQ/cO17AeqGDtksGHcI1ZiGnaecxBoolJ3G9Wsi7BtUD831A5a1p\nb1nrRM/l7pZJMUkVTH1MnHt8vfR3s7fdc3o2LS/IWx4IzhgopwmMd50c6/V666AOBa5+v781YcnU\nJQOfdaS1Wi3cQ4yWuJ5mzmsSjee/tL58COk4+fvURRtznftytF5av12vWH08P/ySsUmrQ8xVHLOQ\nd/WXzxWJWVzKEzE+8/WIAXNMWSDjWXMQdG9o9fxoKALCgtYcAL2OehCfxlXN+e9md1nP5Ikw5z1A\nqUdAQznvAjz0w3g8tvPzc+v3+28ZE7sASUHRv9IAMvabLy/2nFjd08pXnkjLBXmXfqI/YjHpXXV8\nbHpUQGaRNS/crSQlqGsJ8pNMYzQsHVIQTpt4KkBiAlZB1AsprYf/HCvHu9ZizOrjmLGYpu8Db4HH\ngJj66Lv/nc/6PJ8IRdIS7dQlXyT9+PrEYn6/RjtFcOlaTHXf+7bgqm42m9ZsNkM7qMtms70JQ7FY\nDG5xjZPH+u6X0C7Lgv8fAsRpwsjPjV1WYKwuHuTedYx2KQbeWo7dFyNV9Hyf8Jk57pU0yk4D4Vi9\n/W/MBTwXup7cz0uvaKmMIhbLPFEeXK/XAYgXi4WNx+Mt6xlDwPchfKtl+XZqGQ8dzyS5TaxkHXSa\n7PLjpJ/TrkPeemUi9lus/F38nwbesWvT+iLt97R5+FuA7i56LzFkLFyzuyPpEIgqaCGv9T7EMtil\n8b+L0NP3+yjGpGnXpAF0GsDeJ9zvq5cXwsrICsze6tU+RMDsqs+v0Ri5XgE+luCmnpRyuWx7e3t2\ncHBgh4eHW9axnjqDIAfUWaMYCxE8Bj20rNjY3DfOMSDR7w8Vxr9GWdpVr3edN0ppvPVLxuYhssDX\nM01pTcsTiI2VNyBUcVaDgpUJv2QMHyrrHkrMCb+zlaeY/Pi1/KNGkv72S+k+Xnno3HhIOb81SD8q\nIHPe6Wg0Codek0iD8N8lhLwG/q4AbbZb6N2niaUxfEyLj/3nf3voBE/7/yHCalf7tJy0WLa2WTV+\nbx3s6oOHEvfp8wFU4taawWp2uwnL4eGhHR0d2ZMnT8Kytdjeu/CZbrigCshjT677+uO+cd9FMV58\nF0s0rYxfS78GjKG0eflL++ihYOyf75XV2FyNJcghn2KKlobddh0R+BDXs5eFu9p0Xxm6Dtn3QUzO\npMmntGc89L80A+qXGEW76DH4Po1HvYL3mHMsfd3PL6BfK7ChxxYiSr+ltvMY9Evr+0ssuPf5nPuu\n3/V7mvBIU0B+S3qXfn7ftOsZ73NO/VL6Lcfqt2j/h9jHGT0uvatS/K6USzIuyiijjDLKKKP/dXpU\nCzmjjDLKKKOMMvpllAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFG\nGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhll\nlFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFy\nRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0AlAFyRhlllFFGGX0A9H8BCSGxMp/EvTsA\nAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 19.0\n",
            "    J = 9.5418e-01\n",
            "    grad_norm = 3.6515e-01\n",
            "    penalty = 0.193\n",
            "    mode power = 25912.466\n",
            "    dip power = 26617.756\n",
            "    coupling efficiency = 0.974\n",
            "Iteration = (92 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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1argEJUClo+YAisX7SuDpdBoqNXkeLF4UE9ZoNEI4SJ+x6qslvTJQQfDfx5SG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\nDenwK5JpiAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 19.0\n",
            "    J = 9.5338e-01\n",
            "    grad_norm = 1.2997e+00\n",
            "    penalty = 0.191\n",
            "    mode power = 176533.393\n",
            "    dip power = 181522.109\n",
            "    coupling efficiency = 0.973\n",
            "Iteration = (93 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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xWAxnDlMhi+FkbScKkGsmk0mqKOPly5chR03Y2htkf470zc2NjcdjKxQKNp1O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\nAO2rJTbcNDdNAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 19.0\n",
            "    J = 9.3338e-01\n",
            "    grad_norm = 6.1480e-01\n",
            "    penalty = 0.192\n",
            "    mode power = 5742.912\n",
            "    dip power = 6029.058\n",
            "    coupling efficiency = 0.953\n",
            "Iteration = (94 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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JwnNH6/W6zedzGw6H4XQk9U4JRzYajYCECJFqqCxrMX3Y8T6lcV+Y2t/DM51X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\nwgLgyeiGcwoGmFS8uhgjeAMdY5CYYKlgwoSgaMYSQ1F6f4/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lY89qx+se/UzlyL9rW1k8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\ny3vzSBivAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 19.0\n",
            "    J = 9.0977e-01\n",
            "    grad_norm = 4.2404e-01\n",
            "    penalty = 0.191\n",
            "    mode power = 2756.794\n",
            "    dip power = 2967.904\n",
            "    coupling efficiency = 0.929\n",
            "Iteration = (95 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Nmzf2/Plze/78edjAjfD6PCPCbWZBIesJOzx3tFKp2Hg8tsvLy4Ck1DvFAJOr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\n6Xhj18YoJldJ/djVpvYjn89vyZ2GXWMG2Y9hF2r3fYr1gXX2VfP+iUl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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 19.0\n",
            "    J = 9.0232e-01\n",
            "    grad_norm = 5.2855e-01\n",
            "    penalty = 0.190\n",
            "    mode power = 2408.596\n",
            "    dip power = 2614.218\n",
            "    coupling efficiency = 0.921\n",
            "Iteration = (96 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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+Th+KxWKgoPyCVgej+1VRMsZCK8t9VaHmMllIfIaAp9frhf2PhUIhIEW2ZnkH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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 20.0\n",
            "    J = 9.2989e-01\n",
            "    grad_norm = 2.9412e-01\n",
            "    penalty = 0.186\n",
            "    mode power = 2228.995\n",
            "    dip power = 2350.151\n",
            "    coupling efficiency = 0.948\n",
            "Iteration = (97 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wlUdrOQAwtWtST3Q46klQZndGD1IFVnCLgWxaNPwQMMciTf07WQK2DqQJp9+3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\nKKOMMvoMKAPkjDLKKKOMMvoM6P8D9hv5ZbAq/14AAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 20.0\n",
            "    J = 9.2500e-01\n",
            "    grad_norm = 6.0745e-01\n",
            "    penalty = 0.185\n",
            "    mode power = 2439.442\n",
            "    dip power = 2585.547\n",
            "    coupling efficiency = 0.943\n",
            "Iteration = (98 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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d3jhTGNLtBzEALCNh5ypfDKDelU5gRQgxI+s9clUaPlStlKW4+Zu8FlshakjP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\nQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 20.0\n",
            "    J = 9.4166e-01\n",
            "    grad_norm = 2.0362e-01\n",
            "    penalty = 0.183\n",
            "    mode power = 3735.461\n",
            "    dip power = 3891.078\n",
            "    coupling efficiency = 0.960\n",
            "Iteration = (99 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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DpnhDui+x0Wjs7ONUlqwVt+pJ85mYd67tTwpH+9B0kgH1CgqTBBzm83k0tIRy\nEs7R54ByX39KkfdItX/M4Xq9Dg5Pt9vd2T5G0R0HAgCgFIfhPBSLxXAoPNsoKpWKvX792ur1uh0d\nHQVd4YEKGH+ujwc7HA5tPB5bJpMJxVbeiHhA0TFmrIgktFotOzg4CEUrGB8zC2EsvsfCHwwGgbWz\n1UTvpxEBz8Z0jPUzgAgnyvnCKw1Va1gOQPaMW9enT9Go/gCctN07CbrtS9sHs2VfLvPOOw4k61jz\njSrcIymlE1tfGiXg70TTMpm7LY4Uhm42d1vICNVzbQ9SjznNmUwmVDbjxBFyvrm52cl7x67jyYrP\ni2pl+mNhfn9d+kf0iggg12ZXhUZFYk5cksNQqVSCw/yxQFQsFsM2tO+//z48D346ne6Ml2fI2h51\nWnTcdEugF9UNvSZSq9Xsb//2b20wGNh//+//3f76178+OarzWTNkjJQCFwqG4rINQUOpmrM0izNJ\nPymExFjs7LvF+8UDVkBmb7EerqAMMmlRei8oyZNLmpx93n6MkehC9IBMuInQU+x73uPUdqH4SYYu\n1jYFEW9E2EajxUlm93t7NXTpc8r+wAs9+ILtWmp4uQ5sh2PwiHD4Odo3D35MAQpfV4CTCYvUoiBq\nFojSsDfbM1p/7yR2op+lz95pUocOAFY2sG9OYw5ekhMTc2Z82FcP2CF1wXoE8NBRohtm9iCUzHtS\nf/dFmRRQ/Hd0WyMOIXYB5wHnXp2Tp0gMIHTteYYVAwUv+hntx8dKzBbEWKjvy2OMV0lW0jgl6Z2Z\nBdK0Wq12CNBjDHlf2xRrYhHOpHb56yvzjzFkv34fs/k/V54VkFutlpntbnEC+I6OjqxWq9lvf/tb\n63Q69urVKzs8PLRms/nAmOoBDVoExMCbWQhPbDabsC+vXq/bdDq1Wq0WZcgAMGFrPCvaCTCb3bMb\nZcxJoT6z3aIIJGY8EF00Ggr2zom/JuChHlxsf2psewxGFEdFgeOxtgKoGFMq4E9PT63T6dj19bUN\nh8NwmhHhTH2fTqc7B50oYzo5ObFqtRqO+CRqocaVgjK2YTFm2Ww2HBaSFEKi/2pI9f7kjU9PT4Pj\niEPJuBNqowpzNptZsVi01WoVtoIVCoXw+LqYHnhjCSNQpgwwzWazwO5ubm5CqJ65VQeIedd+JknM\nAO8DZoS1xPxNp1MbDochrA5LJvRXLBbt5uYmPO0qk8mE+gYVgJTo1mg0Cs81jh0Iog6Bd4C22+3O\nYw55QIEWNcIicSaZN+ojdFyTxo93JR269UsPrvFrKtYXTe3wYltjkk7HhPtoiikpH78PgGNEwQPX\nx0o+n7fj4+NQGEY9A9sr9T70eR+BUWeDdRwrMPPOjZId33/2gg+Hw8R++Pn4OU5TkjwrIFOAxCD5\nIxs5lKLRaOw84OBjQEwnQ5kybGq73e7sV9VwjB5Lp+xYw0M6SUme6mPGjO/6/uj39Xs+7Gy2u90o\nZigJJfPZx3JEjzGNJPFjru2EEeH5ArZm909kUrZkZoEp+WI9PQ5S83K0VQ9EISwFU1WGzP11nHVO\ndDy8LqGvWlOg86GGDgN8e3tr1WrVttttCFkqGOu9n+Lx62c1raCH2TD/+r5v3fjrPmW+/fipw+AZ\nci6XCwxZ0xToaCaTCWDN3/U+ACtM2z+pK4kVewbtAU/ZMQfH6NOv1IbgpD5WMexF14RffzqGSQw5\n1ieda8b8qYwspmNJjNj/Hpt3/xnGLMne6e/+M2AC6SxPGpLauu9nb5v2rSne/Vr0bVRH6inyVGfp\nKfKsgExlH+DAXuNarWavXr2yer1ur169slarFfZEahWxFmfEckhm994NzEj31ipzYIuOsgVAGEZE\nkQKKgrcL0JFvoU8AhM/BqEHcZ2xjzgQMXytrKdjiO4guWpwJbY+Ck89R+uMefUHXY6EmZd5mFk5T\nw+hysMF8PrfJZLJjUPy9eHAF96A6lPwU25AKhcJOn2k3hpNQ+c3NTQiFJbF+DXurHqE3etCFnoaE\ngfYha3Q7m82G05/Q7b/85S9hCwzt0Ipz7qv5X+0j88UBBZPJJFxP2QlOgh64QVhW/45wQpcC3lNC\noxqlwFGgfeTzOX+bnO18Pg8MWeeG/xOdymQy9v79e+v3+/bu3Tu7vLy0wWAQtvepQ6I5Yxgk7Yd9\nMzZ6H9YxVcbkf5lD8tzZbDZEYtCLfcJntIhKnTkdO82JMneZTCY4IhQ3TadTy+fzNplMwviwteix\n9ujcxHKwsfbH/u7Xj9l9vYUCqBfVX5zXWKQBB40oysfmyn1bNfIUcxR8f2hn7J6ehD22Np5bnhWQ\nCfloAYA+S5QTpGDIegCF9xKTcpxqeMxsByDMbCe0qaEPFqwaVA+Q6uFyLbN7Y6xt0JB1LFydJP6e\nWj3Owtb7eQ/b52r5TCyXhXjvmzY/VdG8969Axfizf5cKU0BFFZwFQwEWbSdcqGBIqE3BlGgKQI1z\nBZtOCtVqG2LFNuog6YtQmNl91bivNif0aWbhkH10Sw0BffB64Bk7c2xmAXRgjWzzAmwxwLA7BS11\nErk+IdGnAvG+McRp5LAJBTCcXCriaS/zx3cIXY9GI7u4uLDBYGDT6TQUsmlkIClkrQ4O98ABYvzM\nLKQ0cH4ZP2XI5JnVOXpMvO74nChj520Y65P5UiZPpGCxWFi5XA56E2PvSQ47vz9VHmO8jzFQ7aeu\nM72Wfpe5Urb9nEwzqW38HLMVHoy17U+NUPxSeVZA7nQ6dxf9f4rJSVz1et2Oj4/DdhLd/+WBI0mJ\nYgpiZjsMRpmjGl0USZ+MgzFQD5DPqdftDaUyK22DVrbGFrMHYgDFzIJHzivGaJWlsIg575fr+nCr\nGhfdr6rMWT1GP8axsBbXZHyVhelcYmTM7g0092MeuGc+nw8sU71mjXZoP2O5d9077fvFmOpeZW2P\nOjQ+F49+eYcExkB/MplMqPZ/8eKFZTIZGw6HdnV1FebNg6QaIvRUDRph1sFgYOfn52EvqT/nmUiL\nRlg0NEw+lUNNeDJQ7NzeGJAoCOpYkOcGOHGKyKGSniCdQU4XoEZPeCzeTz/9FB4R6UFZDWUssoOj\nxthwQBCRFKIbZvf77MltU+egdQLb7TaspX2ixY1aEKiFYoh3qvW+PLeah93goKJXuiaSAAw9Syos\n/FjxAOt17CnfUXupwvr9pczYE7iPAUzVH90ex9Gn2Ol9J/J97D0fk2cF5Ha7vRM6JnnfaDTCU0wo\nmfeFAU/x1nXxKbiZWTBACsh8xwMy24F0sAEWb8j1+8oqveGK5aBVFMwUkDGYCjYeQBU8lTHAlsws\n5Fb3haxjXl6SJ+jbrq+kXDehZAwym+t58g8GFuNF23K5+0feUSzGveirOhgelDHEMAn1gHnX/KvZ\n7qPWfITBv+in9s8DcjabDSHs4+NjKxaL9v79e7u+vt5hyDEw9nNPuzhkYzQa2eXlpW23W2s2mzss\n2ex+u6Heg/VgZiGvPRgMwhG0ALKCXdKa08/o/N/e3j9/F9bJGOl2N8LPMD5CzTww/uzsLBz3OBgM\nwmeTCrp0PajonOgefQCZcQKYGV/WBzrESXi1Wi1xTBBqD3yFPvdXO+QZGk5rLpcLp2hxuAhn/fst\nW2bJD7fBnvnce5I8hQCp/YnltmPXizFRbxNZR78UkD2rfSpAxogOjiv6qWsoSZ6bMT8rIMN6CEXo\n02DYb0p4USdCF9c+loYkKZE3cklGT1mqZwMxBhMzCArUSYCs7fTXjTFl/qfhTRYX99UwnuYgyZH5\nYgnuzfWU2ft2PcWj9vPB9WBsZvfzz3gAsoR4fTg6m82GzygriTk/2mZlu4VCITBKPuMZMsZBx83r\nhb9Xkg7RB5gg80gImxC+F68HOh+eTTBvPN1sOp3adDp9ELaGma5Wq5AzpSJ7s9kExgngKSA/Fp6N\n6QZjAPDxN8YX3WMeccQAPUCcfduj0SjUHvAsXdqma03XmaZmSHHg5PNZjdLwWL1sNhu2PHlAZktd\nvV4PR/PqyYG8lCGi13rgECkzmLgP99I+7quhdWorRqNRyImzT5eoHg6r6rHqvCcOqtc/h0HqdWGR\nTznHPUmS2hDTtdjPHkzVYTCzB+PCPf3f+O5qtbLr6+sQndFH3fo00772P4c8KyDjUQIK+uizdrsd\n9iJrGCgGhGbJZfePgYY3nGa75wizmNVYEh70bMEDss+/YnzMLBhHbee+vmHUuYdW7XJPFr8aAQCZ\nhaxt9aDmF76Ct/aPeXhMksAJMMZg+jAvT6PSRe2PvCQkR7t9iFTD6h7UyNtqZb0P2cWcGHWMkraF\n+DnzVdZmFrbTUCiIwScVoe3wbfPGmrkFUNguNhgMLJfLWbPZtGKxGLZ98fxqHmFI+JRxWa/X1uv1\nbDab2Y8//mhnZ2chX+lTI/vYkgdk2IOCWjab3QE9mJ8WzdHfxWJhf/nLX8ITw4gU+eiP6oDZfSQM\nx65YLIbn8HJoEGOuawfmTqU344WjU61WwyMMC4VCeAQihaG6jhSQOayo0WiE3O94PDYzCzs/tOJc\nHXFC1tvtNgBBNpsNW9y4J7tTeAQqdsevA9UZr1+qY08RD8Qa0sW5eYrNSGKsnrgksV3+r9fTd22f\npoW8reJvMQdmPp+HgkKO9CSqE2t37Ofnkk9ydKYqgRoxDUWa7Qdj3pO8un2Ax/+TRFlJzNDHmG2S\nsniHIfad2Pd8W1i4/hoapkXhvHOizoHfwsV11Hvkvqq4SeP1FKXzn1EHSOeetgCA6tXSd8/sH3Ma\nuI9uYcNo7fs8oBIrwondLxZlUf3Wl7KmVqsVjvlUHdJx03cf5jSzEEojlOuZqAIPLJ3/397e2mg0\nCsBD+FMjL0ljpOxOdUuL3mgn1wGQ1YnSHQTowM3NjQ2HQ5vNZiGi4teYjruuE/pGuJhiOt35oAZY\n856sI11PjB2OAjlvHtBA32mTRpuITvitnezy2G63IXKo64Jxoy04kzDl2Wxmk8nEKpWKTSaTwOjR\n9SRg8E6lRhP03v573hb4/6kdwcGJiV93+9jwPhvugTfJPul68ZHWxwgc/bm5ubGzszM7Pz8PNQ6s\njyRiuK9vv0SeFZA138YCYfHGHqyNeFD0oZ0kwMOweC/JL2p9B+QIM+KhJhUHxDwwQoLKQskxch8U\nFzaoBknDpxgXBUrtp2fGGv5TI5HJZELozjNkvsc469aFx7xXlX2eq1dSNdywDoyCzpuyfL2PFnL5\nOUQwNjxmDzZBHshvgeI7VHOzJc8XwsUWsjo8gJ4WCTH+ZhYM8YsXL8zMrN/v27/8y7/szKEyP9Vz\nHRvmnvxvJpMJB9kAYvp0Kn+6GON4cXFh0+nU3r9/b5eXlzvG2TtC3hk2291qRsSD8CmfUxZpZjv7\nzPVaPJCD3PFyuQypLHXaNeztr8PfCVHzQAGYG9uwNGRNJID88GQyCbpDZIExPD8/t0qlYr1ezzqd\njh0cHFi73d6JPphZiAJSZa9puevra5tOp2G7Glu4sCHMuYZFcaDYy83jZXO53M4zzbPZ7INaEdqE\nDvI/fwKV6nhsfevPaqvQAdInmh7SNcJ7zG7rtb3t9vbXt0fvoY4r+XvmOBauThJs8uXlpf23//bf\n7IcffrC//vWvNh6PwxrFnqoz87HRho+RZwXkJGab5Pnz81MmIIm9eMXxYOzbpr/7e8fasY/t+vZ5\nrzKmaEltVEXzDDhJSX2RkIZeY84L14Qp8P+Yt+3/7mWf0vtFow6ahqMxRL5/upifcg/dNsbpXr4o\njjEBsDBQmu/WtsT0ZR9L9mwZwKjX6wEEYkxAx5yffUoBx4W8FmOnDJnPaToGUJ9MJuGpVJz+5IvW\nfD/5ebvd7owRRhCHNkkvAB5loYS4eeYsIKWRIR1fXQ84dFqfQvpLnQP/hDHurbqGA0GInTZwDGs2\nmw3Rjc1mE9ITFFmpIwMw4oDgEGy3d893LhQKNpvNQvjeAxnjgr4yv5xTX6lUwtO5OCcbQhBznrx+\nxrZkeZ2L6WSMvWroWgvHkvR43xpOYsdJWBBbj9pPf03fv1g/2Us/mUys3+9bv98PjryPZPn1/+8C\nkGNhEe/1IB7kzPYbJv9SBSHsgIfslUXZOoqsgx4DPH1nMWP4lJ0q09AtSRhPZWuaG9T70m8fcoZ5\n+1BbTAkxWn7h6SICmGJhLcZZwSsm+xwXFWWUegIXIWVYPgCtY5fkDCgAb7fbnZPh6D97Y6+urmw+\nn4e20edSqWSdTsfK5bJ1Op3Aagg9ktPkPt7oAXgwGQDLzEKFL+c5V6tVazQa4ZrojuqAWfxxnsqg\n1+u7B2sUCgUbDAY7njp1A7qvXwvmlsulnZ2d2WQysaurq2DcARmMtQKN6oc6c/wPlq7nTvt+8a4H\n3RB254EcRKf0EBx0F2dBWXCxWLTDw0Nrt9vWaDSs2+0G8FqtVtbr9UIonEI2HtnpoxPK5lW/8vm8\ntdttK5fLNp1OrdPphPxus9kMDgnjTtTv8PAwjPdyubTRaGS/+93vbDAY2D/8wz+EbV0cpEJoWlli\nJpPZySOTalgsFoGls5OFgjPC197mwuYbjUaIStRqtZ1q+Nja9uucl9pZiu/0dDb0UW3DPjtC9b3W\n7vhXEgij78wBNgTHKqkPniSdn5/bn/70J/vxxx/tw4cP1u/37ebmJhplVRvwmLPxS+STPX4RiXlf\n/N0D9WPMJObVKTBr7N8zLTUy/vt6zVjb/WTGJkoNmH5W81ceiHn34KigQx8wHnp//5lYPlTbo9fR\ndqvyP6ZkMY9Wf455yYAEBgTHAgOk0QB1gGJ64Bmpgs92uw2nGvGgB66JgYdZ+UNIMCbMlde3p7Bj\nBRLfZ2W7qif++rSVe/E5rcZlHnnHwAIOWvi0Wq1sNBoFgIKhMS96f3VavS4BjoR5c7nczklaqpv6\nrttJKJSZTqc7eVjYvo6JGl81wN1u146Pj63VatnR0ZGtVqvAbDDI2AFCrLpmPDDrmgas2JrXaDRs\ns9lYp9MJhWPcQ4EhVk1PSLzX69mPP/5o2Ww27P9WPdOx0nnlMxodGI1GlsvdHVPKGQ6qJ4wbOoTD\nQCjePzYxiUX6da42RKusGWO/fUlTMLTJX9sz7ViUTL/rGao6kbq2kshCrB/T6dTOzs7s4uIinBfv\n2XFMPiUoPysge4l5PTHg0mIlAMrsfmI9ozPbDQlrvlaBD0nykJ7C9PZ9D9FJ0WpEfWm7Yi+AUQGW\naytj9gCgn/fsmTmgXR7E9Zq6sGNAFBunfeOm7dGjBUul0k5hkl5fgdnfX8OEmo9WhgdgwED0WFbC\n0zBjwskAMvdmQe5bcOqAAcIAI++AsR5Ew/V9rYOfY+ZNIyMYEVgJDIsjIjG66qQA4oPBYMfg6PrQ\nKAZ5VOYLZ4JDfA4PDwMQEwonn8hWJu6RyWTCmqQtgGbSHHuHtFAohCfCvXr1ytrttr19+9bevHkT\nxne5XIa9zfl8PhSJ6eEzOA76sBOcE+9Qsg5LpZK1Wi3bbu9Cz81mMziTZhYiEjESgr6R23779q11\nOp0Qau73+zv1IOqEom/sT8Z+3Nzc2J/+9CfrdDqh3+SvNbLG+uZYYorLuF+hULCLi4tgFxQM/XpW\nZwG9Iy8+HA7t+vo6PNtex+Ex53673YZtbv54VNVPf030XB8nqYfBeN2mTxqtWa/Xdn19bdfX1/bd\nd9/ZP/3TP1mv1wuRFB814ToehD0ePZd8MkCOAZnPXXrGGWMlZhYFGn8NDXvGBtVsl13uY3qxe/if\nVVQBNRxL3k+3c+y7XxJr0p+TAFnHyTst9N3svkI01nbevXea1E4/hrFxASDUyBPaSwLjfaBsdl+R\nDbvyhVaLxSIUQSF6ZGqr1QrgEyuA0/7Hxif28uxYC8B0SxunAHkWoP1jLn1UBDDZbO72Fm+327CN\nByeQeysga4jRrxHazfj4R5RWq1Vrt9tWq9Xs9evXls/n7fr62ubzuQ0GAxuPxyHfCdgqENN+D0Cx\nufVOKI5CrVaz4+NjOz4+trdv39rbt29Df8mJ4+SxTYmxJKLA07hYn0kPAUGnFotFYKSj0chGo5E1\nm82wfkjBJBnkXC4XDop5+fKl1et1u7q6CgA0Go125pd50XaY2c4DN1qtlo3HY/vNb36zw8pxXnjP\nZDJhyxWRk5ubG5vNZuHRh+S8WW/erjGGOKe6n5tUwGg0skzm7tno2u4YO0a4F05R7AAYtSu6BlVP\ncXpJ05nZAzBWh0Ltcr/fDwVc3377bdDhWF48SVf/XQAyk0pDVdH2AZ4yZN9hM3sQPuN72+02LCwU\nPWboEP/dmOHf5717w+uvh9EhjzmbzUKYLjZ5qnQ+fBUbqyTmmiS60DQ0pOLzPvrur+OdHs/6tV0a\n5cDA69m1Sa9Y2/cBMu2nPYDf6empNZvNwIT08H+KgTTURl9gJL4a1vc75jV7hsd7pVKx4+Njm0wm\n9uHDhwAePpKjDijRDNqGgcRI0h4+S180/Asga2iQ+ygLxVEhalAul8P2nXq9bkdHR1atVu3k5CTo\nPo+GZC8vbC6bzQanIZu920akY6z6p6F5r+cAcq1Ws0ajYcfHx/bixYtw9K6ehIVT0mg0QnEWa5n7\nj8fjHcc6yYlUYR3P5/PwKFcclqT1pxE77sd51N1uN9iEXq/3wNGPEQZlixcXF3Zzc2M//fTTzv+Y\nP+ZdI12w+JOTk+BwXV9fW6/XC6F+T0xU72kb64HUw3A4tIuLC7u9vbXDw8Ogtx6IFZxvb2+t1+uF\nU9kAQt05ouOAXpAuUVasIXgFZMUbfiaFwTa79+/f23fffWcfPnwIlexqcz05ILKh+XrWz787QGYy\nfYguNtkxloCR8V4J36VKTnNZfAaDtg8MEc9y/ee1fVqdq9fC8+PMXiZbn90ba4t6o1oNmtTOJO9T\nx4bv6oJW5fLf4/NJ7z494MNL6lxoNCObzYbiJkQrdmOAHGPfzCf9Yx50nHT+OCjk6urKhsNhMFqE\nQTVPyngTGtTQKmPldVjnxEctdMECKm/evLHRaBQKjxTcabdP1ejPm81mxzFlHviMjgshdC0u1K1W\njKWG1QkNt1otq1ar1ul0QhHRy5cvg1PBfM5mM6tWq1ar1Ww6nQYWpmyVymLVPS3aUz3wxhwD2Gw2\nrdPp2OvXr+3NmzfhebrkcvWoTADTzEL6Yr2+O0ltOBzurIPHhOgDoVVqEjiNKxaq1iiGpj5qtZrl\n83k7OTmxTCZjs9nMLi4uwlrne7qWdGujRkZqtZodHR2F/eRmFkLSpCpUjwDqdrttX375pR0eHtps\nNrOffvrJ/vznP4ejOmMMWd+JbMzncxuPx3Z1dWXff/+9LZdLe/PmzQ74x0iQ2R3b/+GHH+z6+trO\nz8+t3+/bZDIJ601TjrqmiWYRqvaPa8VB8kwbnef6FxcX1u/37V//9V/t//yf/xPOdk+K3KhNJ1rj\nI2FJKYufK88KyD4cus+ImT0sOPKLxTMPNdj69BuUlyIIPuuLVmLyGBPVdnhDq+2h4IYcC8xYj5nz\nnpWCSFK7YiGUGGAmORz6UlamYxubF31Xpwql18XjGb06UknpAz+2+0A5aS40NKn/04WMF63etS8G\n0bFhHsfjcWAU9GWfPifprTpxqjNJDFnbhJ549p/JZIJzp0zcOzj7xpw50tAf40WompP2qDrm5DFA\nD3ZjZjvPRYZBbzabnZ0N++Y+JhpdYc84oVrfB5jidrsND43gZMDlchmex/yY6HW93quj7uePd3VW\nlelpQSEsW0PmnhGro4n9YGxxMA8PD63Valkmkwnb/SAK6tirTSwWi3ZwcGCLxcJardaDugJdU9oO\nDV0vl0ubTqd2fX1txWIxVM0TeYpFM9frtY3HYzs/Pw+P2CSN4qM46throaFPAbGmNZLEGmbcAObV\namXj8dj6/b6NRiMbj8ch6uFtFDbEExXVSwXm55RnBWQKTdSD0EfGeQOmjAvjosxADZqGidfr9c75\nt7rdST9LKINrxeL+tCNm+Pku1/PFSSgu+9lGo5G9f//eRqORDQaDnZydFvxUq9UHTFfBBAXGGGsb\nY68k0QXF9Xj39/XGUZUS1k9qYL1eB5bnQ9a8w1bYThQTZYV+DpSVe8dFQ3P+WjrX2+02pDKYN8Jf\njAVtVcNDvyqVir148SIU0eji9uG12HiqQfE6g+HQYh4fwmVcMUQ8LU2PL2RM/BYYDXN7wNMojwIe\n+eJGo2FHR0d2fHxsR0dH9vbt22AUGSeiPpwkBcCwX5Z8PtXdura1HR6sVZfy+bungB0cHNjR0VEI\nmft+wMw45AVw5rr5fD6EiBmbpHWTydw/HAdmSpGgjrcvIPUpDf0ftqPdblsul7Orqytrt9s7R716\nVsd9tKAPtsbTsXA22+12cF50TBlzjURUKhX73e9+Z+122/70pz9ZpVKxv/zlLyG9oU6E2mLWHSfO\nMY7D4dAODw+t2Wza4eHhzl5t+sBTwa6vr+1//s//aR8+fLBvv/3WLi4uwjGV9F3Xsoam0VOOECW1\nQvU9zoIeO4qjgd368ccf7d27d/bXv/7Vfvrpp5Cbj9kY+odOarvUMfisAVm3mWiISkNlSIzl7Vsk\nGkLwoTjdZ6g5SpUYKCcxwxhg+dCafh+F42hCwtRaxamGQI2uti3mLMTat4+d+c/HwFuBXz3S2PUY\nc2XGygB0fvV7+9ikD9fGAC3WDhVtr37PgxqsxIeTY2OEQwfgschjDNm/9jlIqncYTN8n/YxGUPSa\nypAV3AERza2bPTxGUfXaj0cSU9ZHevJd9l/DUvgs473dbkPhUKz+I4kVx3QSY+zz/bGx02p3dZ41\nOhLTJcSPlScNOv+6hz6mC6oTXA/HjHZpYZZ3av06ULuHg6NP0SIVpY68vut1tbgRZ8o7btoW+pXJ\nZAJwE7oeDoc2GAxsu92GgjoPVIvFwobDofX7/ZC/hkgRQVR7oGtYnVrPkPXcBW2rVq7zux4Conlr\nr0eMkb7r/2Ptek551quNRqO7i4o3nc/fHS/nw7w6+THliclmswnFUuytHI1GoTABZSB8Qx5LGa6e\nWoN4IDazHeOopzrBQtThuLi4sH/913+1wWBgHz58CKDsc98ovs+1KPPzHpc3UrrQY6GWmOHbbrch\nXIeB9CACe1Bw5jMUtege0lhhkgdk8ld8hoWhRTK0yztMaoRiBhgnJ8ZIlSWcnp7awcGBjcfj8IAG\nxtizXAwv6RB9XKjvA9t4lOnGqulVn4iOEEmCkdBe9vf6s4q5JsyViJM/DhVmoM4FOqzjouE/BdVS\nqRTywjDTer3+YE3SThxO1jXrEEYCM51MJjvnVfu5RneIFnBtM9thxlqZ751BMwvGkVyfhpybzWa4\nZixMCSPT9crcoveko3TMmeeYU6Y6QD43k8lYp9Ox4+Pj8MhFdE77r1EeXYe5XM6ur69DHrrVapmZ\nhT3T7GLQ+gqNlKDH5XLZ/sN/+A92dHRkFxcXIYKgjN8DEwCGw8qYNBoNa7Va4WccKMZgOBzau3fv\n7Orqyv7pn/7JLi4uwtGinp2yDnQ/PHpZr9dDjUOz2Qx/x66qPVFAxt6cn5/b999/b9fX1yGKozaF\neUJ07NXG6I6N2B70XyLPCsiEHOiI5gb8AjR7yJhjbE7/p8wYBupD4niiSeFMzxpiEmPF+r2YxzoY\nDMLJOnh+FFpoqE+Bw7fBg3RsDPT3fW331+b+LPIYG/FeIWClIKRnBHt2qJLL5XYqJ5m/GNvg895B\nSdIH7avvsxp7jCAFXrHcVuyl4V6f51Om7BnzPh2mnQChT+N4sNR2YlwJ0QHsehCOd7Rgp8pQ/djo\nSx1XPVDCb+3BaNIuTi3DCdb35XK5c+ymzpHOmx97xtXMAvsGTDx71THk2owXzrmyqaS1o+Oi8636\nT7pCn5aln40BsR832sQ+Yb2PAqd3rLW/bOXC8dGDOtRRQR/8ddCXdrttm80m6JS339oGxl6fwoUD\n0Ov1bL1e29HRkZlZ2O/MvYbDoV1eXtrl5WUopIIh+6hNTD9jDqTmkJNqM9TeQAQ4Rz3m5Pv5Uh3V\nn/1afU55dkBW5VEl0YVotps/UiOiRgil5fFzg8HA3r17F/IRFFFpsQYGhAlR1kClnObb1OvWl2fW\nalT0YASOJASIfQWyArkPt+CRxzxr/7eYwnhF8Uyee8fAnPQCbF0ZN5/F4JM/VmaLUmuoSdu22dzt\nlc1m704oKpfLwUnBiLB49J6eJccMr76rIxETzafFwDjGtGgH7SwUCtbtdq1cLoe2qHMCU6Z/SVXo\nmUwm7KvFIMEIAEDAUA0S/W21WnZ4eBjCk5rLVsMJ42KdFYvFUJWcdBKXNzS1Wi2cxZw0tnwekGE9\n5XI5q9frgYlpvk0Zsp8PdJJ5I7doZuGhBhrhiDmVADJOQbVatfl8bvV6PeijZ6661j0IbTabsNWH\nkOd2u31gE2LinWr6z2Ea5+fnYb5U99Vm6NzqWGy328BQ2drHfnTYol9LamvRxXq9boeHh3Z6empn\nZ2c2Go12AFn7wpiozVyv1/b+/XubTCZhmyGsFSC8vLwMee/r62sbjUY74I9gLzWP7Rlys9kMj7tU\nlqqFXTgNPmQNq0/KG/u58+9qZ/UEtOeUT7LtCVGD5BmbdpDBo2gCJoG3TdXrYDAIm+s5hk4rPREF\nGX1pOES9Yc+uvHHSxWp2/8B1cigclq9H9vnQpYI8htGHdPflovaJLmStSNS++WtoeMyDv4KOMgPd\no6uAqvOu88ppWQA64+bPrzV7GN5TXdnnoCSBsQeaWFSE6ykj076gZxoO5nsKvB6APWPW6Ig+F5i/\n6cleCsi+YpV9wer5a6QC3SQagKPg9TiW0/W6xJ7kJLDhs8peAEEzCzlkBa5YhMozZObTR77QP8BW\nRXVC164vwlRn3UcmtF06x5lMZucQEkLxtIXv6pjwHouQ6Nhy5rmPnnk7pI4nY2FmIXSsjmAspx27\nhpkFQCMUfH19/cCB9OvFr51sNmuDwcA2m7sCL0Ca+Vsul9br9ezi4iIwY86Yj82ht5msA3Va2QLl\nd03ovHlnG6Am365zojYk9rtfH5rP1tMAn0M+yUldDCRH2MVOtGFCycWRqzG7L0aZz+fhcWh4bxzO\nPp1Ow3c0OQ/wmt0/BEINBwuaifGhV28sdEI0dIsCDofDcBISxweqUUeh8PKoZMUwA8h4cpqPVG/W\n54PoKx4brMaH5/iOjrn+7EFDFRoAVTAmPKY5ZDUoakj4/3Q6DbktvW7MS1Ug8rrinRPPIvgM9+a6\n2+1dAVK73d7J+foQeswR4nps7WBsma/NZrNTgc27v66GEdFDX6RCoQ+Omp6+xJ7cVqv1ACj0+hid\nfD4f5ogqcQ8garRiYfgk8REX78BiQPVEJWWffm4RH1GYTqc2Ho/DFhV10hWs/HW0PVpNHjv/WVME\n2i5dN+qYAsjqLPh0VoxZarv0iFKu7ddPkiNNu7zOJqVMFFz93DFGjUYjHMmpR5vuc5rQHbWJ6qDC\n1v221MfIBW3UqKoCsj6oRiMvMcfR90PX9VM+nzQnPoT+nPJJABkF1XNwvbKrt0el4GQy2TEGeEEf\nPnywn376KeRqOQ6QMIQWFm02mzBBGExvBHXbSOxsXUQ9VrP7IhzCHuSNx+NxeLwdSsn3NSfHqUPd\nbneHqbOgCAv7kLACMkxNAYytBrVa7cHDEjR0oyFi5iB2D79/T8HYb3vSRaYKS9iMSIKOpTe8/rs+\nFMgi0rbTfs/2dDz1uqVSybrdbngSlAdkNSgKcERtCoWCzefz8HQoHbsYEHvWHANkf+oQ+s5+Thw2\ntiTVajXrdDq2Xq/DUZz6JDGYyXw+t3w+H0K+viJ1HyCrk5okSYCs+VvN8+l9dV4VJLxxZ43jhBM+\nVzCJRVK8LmkBDtve+B/rSYuovL5ppEgZMmFjXZM+4uaNPn8rFothTzXXjqUP9DsqrAMPyI+Bso8a\nMl/NZtMODg5CVAOJpRX9vXQboBIKHF9/XsRjgOwdbxipVv3rs79jUQrVBR1DtX/7Ij/0XaMLen2N\nvnzWgKyD6D1lVSyUXMNA5Ig0HIricMybHmIPU9PCFgYONsA7igsDh0VwL9qMF8XiUPbK929vb204\nHIayf541yyH7urfU7F6p1QhrCI3iJ82latk+74SCuJ7mqLmON3bem9WFpPcid4/yAci++EpB3QOX\nGhL17Gm/boHhex6QGS/P2LX9Kh6EzXYr9nVedUxigKkGxQOymYUwmwcBZco6JjEw1jaxPxsPXx1G\n5hMw8wdKcC2cBW2/2T3T1Gt6QFRnjfnRrYTsvVUG+ZgoMGsoWPN7zE/MbvgIx3q9Drlb3x7AJAZY\nOu9+/fE7Tq0ac89IfaREnQbap8xf14FeIwbMGt3RqJfXVx2fpD7GxtNHw7w9UAFg1FHT68Tuy2dx\nIPUJajiAjB37h7EBj4l3MrSvj6U/YmMe+78H7KR50nd/PdXt55JPwpAxJjzCLHbUHPk5Dm6fz+fW\n7/dttVoFBnp5eWnj8fhBTnaz2QQG6R8ojVGCyZrZjpc2HA6DAdLQCBOt7NLMwu+r1couLy/t5ubG\nzs/PQ1EOrHY0GgVmu91ud4qq8KY4OajRaITcTS6XC+Hz+Xy+U4DjmagHSTxrtnl4A4XB9QCk/WYs\nAHYFZA3ray5ZQ6UahWAcPSATQmWMFXA9yBLhwAkxsx2g04WkXiyV7OrNegPD9ak7IPdGxb7+DWBG\nn7bbbZgbxp3rK5OCKceqcpUhAK6kGVgvetY2Yc1Wq2WNRsMqlUp4AlGpVAqApdenUCybzYYjFT1T\nVd3g/On5fG6ZTCY8LYm1iZ56Y+YdO50T1XmtgvXhUCTmMKI3vV4vnEqldRH6s8/9eoNJGkBDnao7\nPgfsI0uaDuDwE91GqH2POfYe4HSdMG+xIjsdnxjjU+dEP+vnSXPInkXD2ImyeYfEA7Iyxmz27hhV\nfVYzRVeq0+v1Omxde6wqWaM2GsH0jpVPhfix1nHycxyTmFOnEQXFBD7/2VdZq0fhF4pfbHjhPhzK\nIRvL5TLkaM12F5oaPyaOiaT6VItA2L/HdWKhCzXksFb9fblchlzxaDQKZ7Aqy1cD7j3vmAECdGIL\njvbiabKYstlsaBvf8QyXe8SYmoKa3ps+m9kDQ+SNb9JL++fvocwoBsj6eZ0fz/K9gYjpnOqZB3xd\n6J7R6t+VKZtZ2HO7WCxCjleZnwcVHbdYdEIdGM8qY4ZHt3mg/ziKOn6+iloZnL5UB7XvOG+sRzVK\nOr9+nv2c+D7pfZ/C6NTxVjuBY5nESJPawTiqvvh0R6xvHsAeCw/7Pu5jXkl/SxqfWL8eC9dqG2Lz\nljSH/rtmu3t0ifZR/Vyv10OxlUb/SKWxD7xWq+0UosXER5n82nls7JI+5yNE+67j+/+UCNFzyLMC\nsvdWEAAYFrNe3z15gz1pvV7P5vN52Mo0GAzs5ubG3r17Z9fX10HpYJkKJL5iV8O8pVLJZrOZZTKZ\ncJKQme0sUl/RikED1GGwk8nE/vznP9twOAzbnNRzhmF4A2t2P9GbzV0B0Hg8DmF6xsTMgvExs538\nohoCjKZGCHi+aafTCZ4uLBMD5o+61LnCgAPIyvS4hg8Zq0FXw6h/Qw/UaYoBJvOVBO4KGvp/rs81\nlZnwf2UI2+394fh6gAAhUT0aVCMoZvdnNXM/5oZraB80Fwrz5sXYKND683n12cTkGzkqsFqt7jhQ\nmcz9ViP6xFyRE1SQVieC6ICZhfoNCvD6/b59+PAhPAuY8dQ5iRl1xgeDTc5PK8u9kxQDBfSv3+9b\nPp8P76wr0mD0xzsb/A2GTMifz3tnOckhUCCgTRolSdrNEANR398k51L/Hgvd+rw4jD/pHuos6PXU\nIfXFqF7UwaOuod1u28nJiX399dfWarXsxYsXVq1WH+z5brVaVi6X7fr62s7Ozuzi4sJ+/PFHGwwG\nD+6DjST6k8lkdk4+9MCc5FD5nzOZTNBH+hoD2iTHyDuyWm/ynPJJGLLZw32enpVo7ljPi2XPH5u4\np9PpDsD4ohTvRWkuUI0NLFIXKZ62LlL1cAETlIMCE6o+mXDuxWIhR+WVg7GAbZntnvaD8fZtUuDx\nnjhGVcOPGHwFZI0o0B69nnrCPmf8mNLt87LVGfEM2QOy3s+Htz1b8ddXh4D7+ftzH823egBVhuyB\nhr9roRfX0H4lvXSsfQ5sH0vWE+YIK2okhorWWH5tX55N16ZPTbAO/TYRHcskUPEMzqcrkgyoF4yz\nPwSIvqoTxr31Z22LMmRviJMYsu8XbfLzGftujCl/rHinFVHnyoe6k66xz+lQG+rFry/mk1RGo9Gw\nZrMZUpPspdfK50wmE2xUt9u11eruKWzeTvp15HVTU5NPGTe9ptn9w2Y4Ic33MfZ7zNHbp/+/VJ4V\nkCl8wWAUi0W7vLy0xWIRqgoZWDaI82xMnrE5n8/t/PzcZrNZeGamKoH39JW9aQgEo5nP58ORiYRS\nOJyBPF0ulwvvFNnAXglVj0Yj+8tf/hLC1YBfNntfNaxhZs3VKosGbNSx0M8oEORyOWu1WjsFKeq0\nwPRQVE6h0Tw419Zztbm2Gk6NbGhu1LOEfYYJoNHcoQdV9TL9+NBODC7jr0xdF4ECjjpRGBZlzsyR\nVq9jJGDIOIJ8VvvLmAEMzLMaQs/8fThYjQq6qcZU+4NuxvZc4nBhIPldmbeCYAyEaB/6RsSH42+v\nrq4Cm+CAnlqtFlImGm1B9D6kWqiZwFAzlvqeFA5cr++eEMQa1rOpmQ+/ZUn7Sd+LxeJOWJXCOG9Q\nveOnaQV1Vv260PXxFAOtY+edJt8Wr/ewU6Im7GJRXUJUF1VHaT96ORqN7Pr6+sH+YI34QTS438uX\nL+3rr7+2o6Mj++KLL0JY2lfzoy+dTsdOTk5svV7b1dVVuHYs3ce9WZ+DwcCur6+tVquFx3nGiIvX\nLd//V69e2Xa7tf/7f/+vXVxcPIhw+L7rdc3uMYU6DfDoOeWTHJ1JJzgZJZPJ2GAwCMUQt7e34Sxq\n9u/qi8plPHQNz/ltNp6VKAOczWY7eVWe+YrBZzJQINiHGrLZbGaXl5fhWbb6UG2+p4sl6VASjB/X\n1HZpwRbAuV6vg3LrAfssIpiDAriCmW+D396FkvqCB4ypD2/F2ID34AFF77l7oxADZMYAAOYaumfZ\nh0m1Hegd9wGUaZOyYO6rY6kv1aOYk3J7e/ugAMaPi/YzNo7qAPkXc0IY2xs42qUG3QO6T5v4NqID\nrCt08+bmJpyOxyMoKe5iTrxuKxNUJsV60LDqvhyel83mfisg6QTYMhEzMwuRCgUkfccZ160yyraS\ndNvPC23SeY0B8WOOhr+HZ7i6rjzRwMHQamZ1rpPu43/Xa+sJVipcU0kQacNWqxXOiW+32zvsWPVV\nI4DVatWm06m1Wi374x//aJeXlzadTgOB821l3RMt1cOFYuPvdco7i61Wy5bLpX3//fc7qTuvL37e\ndO3jYGga6jnlWQG53++b2f2j4Ah31ev1YGBYCJz7zAMibm5uAkMmRzubzYLXhJF9LEygioYiM9k3\nNzfhCEczC/sAAXytWsTwTiYTOzs7s9lstpP79QrE4vIGWBmSHmgOa0MZCTkDyLCd7XYb2Al7T2Hb\nADKsD+MaW9zcSw1mUq6bMcdQKGhyTB9zgxdLPkvzlXpvNRaeXcCQYbD0iaIiFo0vAgGQlHmrcQOc\nM5lMGFuuzxgyL8rEaZOGHWPGOcmhIRWiYUJlVjHDocwlBhL6WQ+E3ojEANnrKvNAW9kdQAGkPoyj\n1+uF50IrAPi+qG4BkpwCxR55rSHQtRADLwXkyWQSts/wPGZ/BK1nxvxcKBQCq0RPiSzFcuF+7NFB\ndS6fIt450LkhQkIVsha+6dz4e2Uydye2dTqdUFfgtz2q3vn+qE1iG+l3331nf/jDH+zy8jLcwwMx\nQMuDR05OTuzLL78MOwD0oCPdXka/cIq+/vprOz09tX/8x3+0i4uLEOEhJ8/aU7m5ubF+v2/tdjs8\nWarb7Ya5pb2+r/73SqVizWYzMHNNY8ScmSSHCid+Nps9SQ8+Rj4JILNIMN7VajX8HeEINYBusVgE\nkO71ejtPAvFKFhP+rsVBNzc3tt1uA2Dd3NyEM1bx9vCS2PqDYuOR84xjCrtQZB/SNHu4f04dA8BA\niyeUFepn6AuOQqFQCA+J174BLrC6pDHRcdMF4ovwFMTN7p/qwzywrYY944CZL9iK5fkfGyfAEODs\n9/vW6/XCY+L0+6oPAD/90Hupo6EH0ADIsC08b7+nXQFf78vPmifVcYuFDmOAnMS6kkB7H1D7sdF5\n1bbp9ZR94QgSEhyPxwFAm82mLRaLnf3zGiHQNcqYYygJZQLIZvcH7DwGbKxdHPdKpWLT6TSEzgFm\njVb5OSLiA5gAyPvYsW8b6yUGdPvmQd9jcwNIKctSBhsD5Gw2a/V63drtdhhTBeR9Y2lmD2zSfD63\nd+/e2R//+McdvfRgrGPYbrft+PjYvvzyy+AkaVTMF4Bp8ezJyYnN53N7+fKlvXv3bicqRvs0imVm\n4UAoXjjYRDp0jfr+6tj7raabzWan5mffnHnmDqDv04GfI5/s8Yv5fD4Ya/bX6p5En7fT4g0YI56W\n36eZpHw+h+eNPYBRLBZDrhCPf7O535NI6I5QmXcMYqxEDV+MIcNsNXSrgAzQA8iAAXmOfD6/s3CV\nqQPongF5Q4NxUsPi86+MI98hX7NarcIxhsr2PYDpgtc0Q9I8aT6LsL6+stlsAAkNzcIw9Jq8Kwuj\nH/7oT8ZNf48xPh8+xtnUHLnmoXTuYwU3Hqi9juiLcfSvmLGJsXfvyCrz13FTVq/OCk4pTAAH10cO\n1JCzLnFSqNfgtDHYuI5FUtvN7lME2h72AhNmx6lQtuOjJRo+Zz+5Z+r7og8aao8Z4Zgt8E4K74Rh\n1+v7PeJac+LXhl6XPC55eX82f8wZ1PWs0S4cHU0D0k6/fQ6A5dGHsHNOP/P3jY2n9oPQtzr91EEw\nRszjZrMJxyX3+/1Qy6FPlHqKk8SuBmXisbb5+VSwNrvPJS+Xy0QW/XPlWQH5/PzczO5DPBxyUKlU\nQm6K4ik9Exm2RZ4AFkNBi26d0G1PXtG84dHyec39AUx4bYTY1NOCvdNOJgXlU8Omk4Jh01A1OS9C\nsH57kTJd2C4KyXdXq9XOWbyETChKUgVTkKR9GAYWkAKGBw1dFGYWcv2TycQuLy93ioG4vo69bhfb\nbDYhVaHijY7qA44aDh1tZTFpsZiCoToYzBfXJ0+mD3UnVB1LQfiwHbpIURBH+Skg+60jWviHeJD0\nRV/MOXOsDgDOEePndU/voe/KttBbHx5kPtFRtj/lcndnHbOHlO2Dek613leBYbPZhBBht9u1brcb\njpllrWhaIQaAMKHJZGLFYtEmk8kOQ8ap1q02WmjD/HAICy9fYBdzXNQBjNVl+DlNcogU0IjiUJBZ\nqVSCfrIO0Aufn6Qv7Xbbjo6OwiEcmipKinZ5fWN7aa/Xe+AgaXEr19Xz1E9OTuzg4CAUcfnCJh1H\nnFS/tmDao9HoQc2K2nfaPJ1Ordfr2Q8//GC3t7f29u3b4CA8halmMpkQoSHy6CNqsTUUE2yVOoPP\nJc8KyBxNqYrHwLKgMKI+Z6gMBU+G83v10XScHaq5ZSTmLflFpkxDF15skWm4hv5o1eM+r9CzZN75\nnln8AA4+w98wbBhpFrjmPPUQC72v9gWDgEPimZJfxArsuiXGh16VySi44HSZ2Y5hic2XtlkZIs4J\nc+GZCmMTy5Mq8+O6Gpb2epDEjLinP6hD9cIzZHTZG0l9Z3z1pfUMFPDFmLLXuSRA0Hcda42KxOZB\n28M85PP54Bxq4aAHNM9O9ajYUqkUKlSTgNi/aJdGNPz2J41+ecBUhoxTp4VyGNaYDYmN6z42ltQH\nBWT0mLUF0GlBbCyUn8vlwjYjHKOkc8J9f/wcY3c/fPhgl5eXobpaCUeMccNsqbqPRSm9nuna1nb5\n6/vx0nbzXVJmONK6c0T76kWvm8vlrNls2osXL3bsrf88754dx5zp55RnBWQ2ensFJE9SKpWs1WqF\nEI0aSs0dNJtN22639vr163CoPGCOseBMa7w7HVxVAh8CAmDU2GmukYljq8nt7W3IOxPegan4ieTa\nZrbDdtTLxBiZxUPWOhYsXBSUB3pzfz1y0wOzz6XCdtSr2253c7AKrtvtNoAXaQUKuDR0yvdggxhj\nfmfeNMSri5w5wsASIp1MJuGhFABgo9EI24GUmZnZTt90ATG20+k0HHdKikSfy8yc+MWrle4cfcoD\nJshH0RZ0moJGQpPUATAOjB8PKiBqwTxS6FOr1XaMJN/3TkCSceN3DYtr7YMaTv6OM8U85PP5cCzs\neDwOfUE8g/TOAsfEdrtdOzg4MLO7LVWMF+sJvdEaB+ZztVqFtozH43AUb7VatfV6HXLCeliIVs+S\ncsD+dDqdnXoO1pqCCWtbx5Y2q+Prxc8H94bRo0/0m4NedH48CJjdVSj/7ne/s3a7bS9fvrSjoyNr\ntVphG5JfX94uqQ4sFgu7vLy0//pf/6t9//33IdXIGGnE0OsVDJnDYljD3IffdRzQK3V01B76CIK2\nWe35arWy6+trKxaL1uv1bLvdWqfTSXwmsQIr85DJZOybb76xYrFo7969s3/4h3/YWRMxZzf283a7\nDWTyOeVZAZmOqXeEgWQPLoVJGo5QL4WwajabtUajYa1WKxg9ChE8ezJLZsdePIvwzoMqCKFSMwth\nYwDCgz2KFnMIvJeoCqyfj7VfnQjGB29Rc9MYLs+k/MJYr9c7FdCxcdrH8mPfU4PC3GQy95W7up2C\ne3tW640GbFZZLsqfxIgYf+2HtsuzfDWs/vsemH21qT76DXAEWDxD9rrlvf8YQ+bds2Rv/FSXvUF5\nbG149hSbh325bQWupDVGRMY/UCXGjGKvp84jjq4Pj2p7YMh6mp22w+uON86PjaMf9319Yl1rWJh1\nEQMGHNJWqxXC1H7PbxI71rZjJxaLhfX7fbu+vg5tVV3384NAsPyecv+z3jNmB5P0xswerBFdm1rf\nkFTMGrsu18hm74rijo+PA4GMzd9j4Mz3kkLeP1c+ycMldBIAoH6/HzwUPcYSgU3l8/lw1Nrf/M3f\n2PHx8U6hiR6GoR61gpefeD6DAeUIQvIYxWIx5EP8fl9y26vVKuyjzmQyD8ImHrA0D4gR11C3mT1J\nOemPP/tVGTLV3/ooPpwiFjzMjbynP2WKe8bAIgbE3vBRqcyYMFaE48i5UhgFm1HHDdboGbLmsAAr\n5lVDp+iR6gAhLk59Iz+NUfchS8ZB0xUcY8m5vRTUNBqNYOTR8+12a+VyOURuiGqMRqPARLWIDEcD\nVrrZbMKDI9jDr4xP84Xe4UoCOWVfGBCfpvHOge511wdPbLfbkMPVdvmwvK45M7Nut2unp6dmZvbD\nDz+ENaLr1hdX6lwS0aAQqVAohJ0YsMxyubwzD75dhULBDg4Owh5r1pSeRpYErqxXDZmzptFH/U5s\nLujndDoNWzxZC3qkI86/RrwqlYq9ffvWDg8P7eTkZOfsaD04KAmU0QG2EA2Hw9BnWDHhfLWrXIt2\nsIVMC9GSAEnnkHlRu6m7GnSsNWqn391ut+GhRGdnZ7ZarezNmzeJTpECO9fKZrPW7XYtl8sFZ8RH\nx7yogxWTmP3+ufJJANnsYaUvVbkcManGhHdyxOxbPDw8tMPDwxAyJfcMS/XeSRLLVCOBkfXnwaJk\nhJUUXDAei8XCstnszmlOGu5TxVDjFgM1/3kkaUGpkYGFsWi1IEoNL/3dbu9DnfsYBD/7efRzyc++\nTywu2oeTBcB4T5t5UZD3/WLe8I6VMWtIy48t/9fr8dIx8uOPs6Sg4MGZPqkh884MrFBzluv1OsyH\nRpOUIWcymZDuYAxoN+FuNXI6f/sYZiyFExP9rIIz4wgI+TnwuuSdBLac6NGKSfnDfQxZx0RZO7nk\nffpN2Ji6FA3zPsZy/Bj6dR1zrP011QFjrap+mVnQD+90FYtFa7fb1u12Q5j6sRyytzOsBw5jgjBp\nakbv6e0QzkLs8KN9AqCqLsUiLEmMVB13nKLpdBpSO0nf939XXdxut2HbXOzzvv9J9vE52bHZJwRk\nFRTBbLfyFGBFEaiAfPXqVTis/ODgIBxdmc/nA6CTN0KBmHAPxmb3j1Ak1IO33mq17KuvvgrGQnNj\nepYvv2OQ+BtKanZ/+Aj31Co+VTydaM3xcT2uqUCFqFFQw6RhfGXIel8Ndyrr0kIv79yox645HjV6\n/Ez/cVpyuVw4h5z9381mMzw7lZCuPt9XjRW5XqRUKoUDZvxY+rAj4E1+HQOkB4D4+fLXow9U9+O4\nUWlNhIXDHfie2d0BBITpKWLikA0qx7W9zB0hfrYXkWNeLBbB+BK2x6h4pzbGlj2AJIX6lbXidPg9\n27C35XK5M3c6J6orRKXa7badnp7aYrEIuV92B6BTfvwVWHSM5vO5lcvlwNxxYGLOr+p1Pp+3g4MD\nWy6X4Xhe8tNJDFnXAjsbcrlciBYwD3xXHXXsjkYKN5uN9Xo9u76+tvF4HAgDaxDGa3aX0z08PLQv\nv/zSDg8P7YsvvghFXf542qQDLjwYX15e2v/6X/8rHGmsBEWLzmLOhGfESQxZWbX+DVtCtIOoWhIo\n+9C16jLrSYt79zF1vQ4ONGt4X7+1TZ8ajM1+JUA2u88vE57TsAgDQqHMycmJdTqdULigIUmOWtNT\nVszijC108v8BPmcDt1otOzg4sG63a69fvw5/R1kw5IAVHjgGoFwu77Av7whoDs7nKBENqRD20+/r\n70nXVubic3w+bEc79N6a4/SetTfwsTxVjE2pIeTa6/U6hLgIw2kO1uw+AqDVtLonm/H2BRgxNsV1\n1IjrM499qCxpbjTnCNPVLU9EUzjFinHkJKjlcmmj0WgnrOoZiEYTAFsiAVpVvFwuw0ltHsCYYw/E\n6vApGHsWqe84Kow1+kUKAqfAR2L82DEegEa9XrfDw0MbDofhtDw92MG3WeselCH7+aQ96Jk6nl5P\ncrlcOOSEhyHgNHog8+tRC6KKxWJIRUAQlBiok6FzhW3hITXs74aY0AY9f+GLL76wv//7v7dGo2Gn\np6c7x2UqM94XrlZHod/v2x/+8AcbDAZh/HRbXSxaoGua9uqa9d/RzzIXrDeNPJJi846hv7+mLhjP\nyWQSim1jEgNLroPzQcjf90HH8dcEY7NfEZDN7hWDBaRMEEOm+V0NKymTVkXUa8fCVXjp+fzdKTON\nRsMODg7sxYsX1m63rdPp7FQgK6smREiFLBXDGEZdGNoOM3sAiBqawpFQVuGLyRREGTd99wxV7+3Z\njxq4pKIkBQgMC8rui5OYN72XD3EyBtns3b5rxoz8LY4N444h1fAtTFKrLxkvP546Bz48FitEijlu\nXFvHjHv77U7UG5CXB3wwpBjvRqMRcoDokt/mp04NwJzJZJ7kbPn5jRlovUcstMo8xhwtn3rxxVSx\nKIPqPGNYrVat2+2Gh1YQOfBtJrURAxcFxlhxV1L4nOvQjkajEZ5SxH5rol6+H2b3+VeYXS6XC4+r\nBBTUrrGe0ElSLhcXFzYej+3777+3wWAQom6sJ3THzEJNyxdffGFv3rwJB6yoAx1zZHQOdX2u1/cn\ncw2HQ5tMJjsRDJ0D+q82hHnxYKuh6yR2GbMRqsuxz8ecAv0bOuDXgX7ez6P//fDw0P7u7/7O+v2+\nfffdd8HJivUhdq2kv/0S+VUB2ex+T6o38ISUORau3W6HcKHm4jBoPgepIRWEz/BdcjAvX760t2/f\nWrPZtNPT08CMlX3p9QhJ6vt2exeepdBIvWP9mespePicI2MAG9dwMe9m94eOmMXZM3/Xd70/oMGY\nakGIGm9/aIKGxXFO+Lw32IQUKSAxMxsOh2HLSq1WC6FKQm/034OxevAYIcZLwZF3mB16psUjCmwx\nMPbjFXOi/NjBnOv1+s72JWWjPI+7Xq/bdrsNYWBl+xpt2W7vq9IJKS4WCyuXyzt7b2m/Z5TeYX0K\nQ9YxUOPpozEaslYd8eMZG79ms2mbzV1xJw+pZy3vyyUj6mQpS1Z7EHNW9Now5O327ixktsLhIMTE\ng9l4PLbNZmPD4TA8+IYivljYVyM2f/jDH+ynn36yy8tLu7i4iDrkOHUnJyd2eHhoX3/9tX3zzTeW\nyWRCKiPJCUpqP2uaM8HZe8w2QgVlvRa6o6Cu90NP+FsSkDJ/3snEGdH77QN22mNmO+slJtpGBVSi\nVNls1t68eWP/5b/8F3v//r1dXV2FaMe+631qeVZA1r2hurBjf6ODuoj8ovTKoRIDpH2hKhiNPtKO\n4gR/vxjrUAfCv9Sr9OJZKe8KyMqK8UbN7otA+IxX1iRA0THQPnh2B4AoIOv9WDC+r7EQlRp6z8QA\nQXLCgNrt7W0AMwUZdbI8y/e5b2XI3mioQfYAFXNc9HvesPrrJM0rbdxsNgG4cSg1ouINNvPt2Wns\n5cHPA49fO4+xYxXfnqe8YuCubTOzkGvXsfBMft/613XuoylJxVwxYZ6IxGnlv48q6M/qEOB0brd3\nFdPcH+dCdRkwXC6X9uHDB3v//n04xz8W0cBWdbtde/PmjR0dHVmpVApgljTm++wCDgFhfl1XTwl5\n87Nnij6qouOWRBBiJIJrJoFx7P+xoswkhhxrWyZzlybgJEkfgePd48KnlmcF5Hq9bmYPqwlVFGxQ\nXtiCX4wxo4zoItGXB2IMQaVSCUfOdbtda7fbYb+zijf+yr40ZE1eVL3LWCiRxU8hEL9rX1jQGpaE\nsQPQCt4xgxUT7QOMjsI5zqPl/4wpzJ95Is8HI2IsWMR+HnwoCoOkVdODwcCurq6s3W7ben13EEa7\n3Q4hS65LvpS+eIZKxSxGTMPcCpqaYtC2eoDiZ3LHejxkElPGydNDFbgORUCbzcbq9fpenaFdGF4c\noqTq8JhRjYWAPStJYrVefLhaq6w1n70vdK36CfB1Oh1rNBrhKF0f7UoC5RhbV4ZMeikpbM1YUZnb\n7XZttbo7n73X6z0oNlU7gC1jyw1tJtRNnQGOtn7n9vbWBoOBzedz+9//+3/bu3fvgv6yhUidXfTp\nm2++sf/0n/6TlUolq1arO2ONo6xjnjSP6NZ8Prder2eTyWQHkDw7joGtrmX6p9dmnD3g8V1vt2P1\nJlzDCw60hsbNLERIPCjHJKlt7OgZDoc7DlmsLb8GGJs9MyADWMrsGDAmxjNa7/HFGEKMDcc+r2DI\nuw87eoPoPToV7ykl5eliDDl2b32pUiszVeBVR2Qfe/Bt9W1WRqlbvjTExr017K5FN54dxxhezAvW\nvwPyhP84m5hcHPulzeJ7tH3O2NcVqKOQNO7kZ9XwxMQbqJjXrOPrc3BmtqNvqitJc/jY2vBjEgOe\nmOFQx/ZjJDaf+9ZjkuhY+ajGU3RbZV8U4SntYb58Kiy2/cnrCU5zNpvdqaLn/gCymQWnerlchsfJ\nDofDUJSqtRNqf2gfjwr09oa1mcT8kuaRkDVO8b7ohL+en5N9c5TUFs+m9V2vG5MknX4qECddC9Km\neqifSXr/lPKsgNxqtczsftHAkNfrdQjxMEgYZy3Q0Oo7tr6Y3W850pCNZ8b8XRmVgrAefUgIiLby\n/hioxwy9ZzsouTI5tvrUarXApBSQ1fPNZrM7la7k3GMLiPZ5ReFz9J1tXdVqNTy/tN1u7zw2jXbg\nTWvUgjmBiWw2mwDW9OFjwqLko/H0y+WynZ6eWqlUCtdCd1gs5OpgxY1Gw+r1utXr9TAGMP31eh1y\nnUQk9CCSyWQSPrdPksY65uhoxT9CIaFGRDyAqyOW5JB6XfdMMBZO9yF6D+SPzZG2JXZ/z9afOvfZ\nbDZ6oEWMmfr2cA8tcosVvCU5DWb3Th1rgddkMgk1HLRB0znoJGsD+8LWNPrBOlqtViE0/e7dO5tM\nJjsH+DD3HPuIznqnJQaEqo/7QFhfw+HQvv/+e+v1esERxyny46/j5cHIOy3cSz+j4OvbYhZPoewD\nuxj5oB1P0eUk0TSBRvxi/f615NkZstn9BGBM9dQZz5ySDJCv5lQj5FmDZ3ZIEkNUpfIGUcUvgJjB\n82EOb7A9eGsO2d9rs9k8YHrqFes9+Nm3Vf/u+65hVl6a89JCMgDOV1j7yIAuiqcuDOaK503zJCFC\nooSuNfSNofIM35+rzPwSPqZPgLPmLvfJYwsxBoBe1Lj67z7GkvXnGDP17XzMSfs5Rssb9dj6S4qQ\nJImuiySG/Fib9jHj2Hr2AKPpD9aEzyF7Fml2HzbHScWhU5bF+mHL22w2s8vLy/CEK65ze3sbIkLe\nLnqnJDbfTxWuu1wubTweh6d56X32jb+3Mfq92L08C+bzSsa83uj//bX83307tI8/R3xfHvv5UwP0\nswIyB44zQBhBWB7eoW750AINX0GJJxnb+pHknTOBCkYKxrpFRhdwbHGrxBaqZyYwZBZ8DDzUKaAN\nZrtPftI+JC2aJMXQvyuIUcwWY5e0XceWPmA49hWzqXwMOK/X63BQxvn5echPm90/qIT25fN3R6pS\nKa+HjOi9yXXDZMgvr9frcHwlFbneeMTa/JQx94bbj78PaScZPr1/jOElvWLtVUmaj31zFHMKHgPD\nx65J+/RAi1j+mHnEKYz1JdYWD2wx0ToQre/Q860R2qd6QvSK7U9a52B2X/27WCzCow2xf9qHWNux\nRR5o1C58bOqBa3Dc5HA4fMAKHwMl7JFfBzGw3Pe3fe32/08CY/73FGD8mHFShqz3TRqXTyXPCsgc\nfsAL5SZ8qLkXs4cMWYs2tDRewSpJkWMepgIzA66hpSQ28hgYx37Xz3l2rI5ALIfM/QA6gF0BPqk9\n+xRWnZLYlh3OFMezV/ag7fHs2LPCn+uh4rlj5JQZ64Z/DDNnSfPCkHqDSaRBw+7su1QH6pfKU+Zh\nn+HTa+iYxID5KYCTZDxiev2U+UpaGwoMsZz2Y4aXdeDHRAGZeVNATBqTWEg+1heup2cbsC5iW3/8\n+jbbPeAIPVXmBzuez+c2GAyCHfNt2RdWT+pnTC+eIjgQg8EgbMOL2TI/T/qz/5wHZbW9+/4Wm58Y\n+Mausa9/P+d/sb4+dq9PLZ8kh0wu2Mx2DKSGXh/zvFUJYz/vY7Mx2edVfayh4nqx63vjosofC3PH\nPhtbJI+xtH199qFrBVk+s2/72VPv/5S58OOhW67M7g9hgC1w1OnBwYEdHx9bp9PZeeycf0iF1hng\nXMTCo0+VpzDQp/Q3Zsyecu+PZbdJAP9zHKake8aA72PWTRIQ7/tOUhv2tTEGcL4dSSw9yenWa+t6\nUUDWmhg9vOKxcUmat4+1dTGhyExz5EnteMoa/jniQdfrwM+xvR+zNva166n3+9TyrIDM807H43E4\nFo59bx6QkRgo+3B0kmLuy6s99tL7azv8zzF5DKQ86HhA3gfcPwc09rVTjY4vQvLVhYSqY23dB84f\n6xTp/WHjfusXUiqV7Pj42I6Pj+3Fixdh24w+9UjDTVrck81mw9YUX0X7S0D5qd/fN68fO78/x/A8\nVZ9/Tjt+Dhgj+yIGXmL/38fcY22L9d87qzGdj7VTbY+2DQdSI3y6fTDWh8fYX5KN+5jxVkdBn2q1\nTycVHJ/ikHug9f9D1HFR4e8/1xl4DlB+TJIch49xJJ4izwrIOrC/plfxMfI5teu5J1Ov+7GfeypD\n+aUSc16e+r2PZVS/5lx/Tnr1a8qn0N9/C/k58xdj4B87Hr+23vz/Zb7+rWRf1OU5JLNNZyiVVFJJ\nJZVU/s3ll1e2pJJKKqmkkkoqv1hSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BS\nQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWV\nz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRS\nSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0BSQE4llVRSSSWVz0D+P26e\nL80k+jvJAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 20.0\n",
            "    J = 9.2847e-01\n",
            "    grad_norm = 3.8854e-01\n",
            "    penalty = 0.181\n",
            "    mode power = 6116.362\n",
            "    dip power = 6461.295\n",
            "    coupling efficiency = 0.947\n",
            "Iteration = (100 / 100)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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rvkTK5vXZuor+1aDowkVhNOLVyY/9L+lv+xTPLxTyWlBQsTwPVA7UNQwAyFNP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\nSeUzkNQhp5JKKqmkkspnIP8fS+X1sfJEExkAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    beta = 20.0\n",
            "    J = 9.4033e-01\n",
            "    grad_norm = 1.3126e-01\n",
            "    penalty = 0.179\n",
            "    mode power = 8888.252\n",
            "    dip power = 9275.336\n",
            "    coupling efficiency = 0.958"
          ]
        }
      ],
      "source": [
        "iter_done = len(history_dict[\"values\"])\n",
        "if iter_done < max_iter:\n",
        "    # small # of iters for quick testing\n",
        "    for i in range(iter_done, max_iter):\n",
        "        print(f\"Iteration = ({i + 1} / {max_iter})\")\n",
        "        plt.subplots(1, 1, figsize=(3, 2))\n",
        "        plt.imshow(np.flipud(1 - params.T), cmap=\"gray\", vmin=0, vmax=1)\n",
        "        plt.axis(\"off\")\n",
        "        plt.show()\n",
        "\n",
        "        # Compute gradient and current objective function value.\n",
        "        beta_i = i // iter_steps + beta_min\n",
        "        (value, gradient), data = obj_grad(params, beta=beta_i, step_num=(i + 1))\n",
        "        sim_data_i, mode_power_i, dip_power_i, penalty_val_i = [data[0]] + [\n",
        "            dat._value for dat in data[1:]\n",
        "        ]\n",
        "        # Outputs.\n",
        "        print(f\"\\tbeta = {beta_i}\")\n",
        "        print(f\"\\tJ = {value:.4e}\")\n",
        "        print(f\"\\tgrad_norm = {np.linalg.norm(gradient):.4e}\")\n",
        "        print(f\"\\tpenalty = {penalty_val_i:.3f}\")\n",
        "        print(f\"\\tmode power = {mode_power_i:.3f}\")\n",
        "        print(f\"\\tdip power = {dip_power_i:.3f}\")\n",
        "        print(f\"\\tcoupling efficiency = {mode_power_i / dip_power_i:.3f}\")\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 parameters between 0 and 1.\n",
        "        params = anp.minimum(params, 1.0)\n",
        "        params = anp.maximum(params, 0.0)\n",
        "\n",
        "        # Save history.\n",
        "        history_dict[\"values\"].append(value)\n",
        "        history_dict[\"coupl_eff\"].append(mode_power_i / dip_power_i)\n",
        "        history_dict[\"penalty\"].append(penalty_val_i)\n",
        "        history_dict[\"params\"].append(params)\n",
        "        history_dict[\"beta\"].append(beta_i)\n",
        "        history_dict[\"gradients\"].append(gradient)\n",
        "        history_dict[\"opt_states\"].append(opt_state)\n",
        "        # history_dict[\"data\"].append(sim_data_i)  # Uncomment to store data, can create large files.\n",
        "        save_history(history_dict)"
      ],
      "id": "a1d68e0e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Ultimately, we get all the information to assess the optimization\n",
        "results."
      ],
      "id": "14edc3b6-bfca-4a52-a267-f6b15e1d6ab1"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [],
      "source": [
        "obj_vals = np.array(history_dict[\"values\"])\n",
        "ce_vals = np.array(history_dict[\"coupl_eff\"])\n",
        "pen_vals = np.array(history_dict[\"penalty\"])\n",
        "final_par_density = history_dict[\"params\"][-1]\n",
        "final_beta = history_dict[\"beta\"][-1]"
      ],
      "id": "1d829b02"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [],
      "source": [
        "# just to inspect design at different iterations\n",
        "def unfold_params(params):\n",
        "    params = np.concatenate((np.fliplr(np.copy(params)), params), axis=1)\n",
        "    return params\n",
        "\n",
        "\n",
        "params1 = history_dict[\"params\"][32]\n",
        "params1_full = pre_process(params1, beta=final_beta)\n",
        "params1_full = include_constant_regions(\n",
        "    params1_full, circ_center=[qe_pos.center[0], qe_pos.center[1]], circ_radius=non_etch_r\n",
        ")\n",
        "params1_full = unfold_params(params1_full)\n",
        "\n",
        "params2 = history_dict[\"params\"][-1]\n",
        "params2_full = pre_process(params2, beta=final_beta)\n",
        "params2_full = include_constant_regions(\n",
        "    params2_full, circ_center=[qe_pos.center[0], qe_pos.center[1]], circ_radius=non_etch_r\n",
        ")\n",
        "params2_full = unfold_params(params2_full)"
      ],
      "id": "e472d108"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "plt.imshow(\n",
        "    1 - np.flipud(params1_full.T),\n",
        "    cmap=\"gray\",\n",
        "    vmin=0,\n",
        "    vmax=1,\n",
        "    extent=[wg_length, cr_l + wg_length, -cr_w / 2, cr_w / 2],\n",
        ")\n",
        "plt.plot(dp_source.center[0], 0, \"r*\")\n",
        "plt.show()"
      ],
      "id": "81cef781"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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1yjij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\niAIAAAAAAIAt/h8q0jiLuH28qwAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "plt.imshow(\n",
        "    1 - np.flipud(params2_full.T),\n",
        "    cmap=\"gray\",\n",
        "    vmin=0,\n",
        "    vmax=1,\n",
        "    extent=[wg_length, cr_l + wg_length, -cr_w / 2, cr_w / 2],\n",
        ")\n",
        "plt.plot(dp_source.center[0], 0, \"r*\")\n",
        "plt.show()"
      ],
      "id": "a1b511d6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Results\n",
        "\n",
        "The following figure shows how coupling efficiency and the fabrication\n",
        "penalty have evolved along the optimization process. The coupling\n",
        "efficiency quickly rises above 0.8, and along the binarization process,\n",
        "we can observe two large drops before a more stable final optimization\n",
        "stage. The formation of resonant modes sensitive to the small structural\n",
        "changes can potentially explain this behavior. The discontinuities in\n",
        "the fabrication penalty curve are caused by the increments in the\n",
        "projection parameter beta at each 5 iterations."
      ],
      "id": "38a9cfc9-6363-4dcb-ae91-12611e7bd706"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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dXW0NnrZ+PfFGSEgI8vPzMX78eJw+fRrHjh3D9OnTcccdd+Ccc87BoUOH7AJ/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36SfOzatWuVGlbAGDt2LABzruaDBw/K2vall14KwLyju2UpmxbkOMfOnTtb4xNGoxFnz561roBK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\n1qxZjigPAACgVAkJ0p49zq4CA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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, 1, figsize=(7, 5))\n",
        "ax.plot(ce_vals, \"ko\", label=\"C. Efficiency\")\n",
        "ax.plot(pen_vals, \"bs\", label=\"Fab. Penalty\")\n",
        "ax.plot(history_dict[\"values\"], \"ro\", label=\"J\")\n",
        "ax.set_xlabel(\"iterations\")\n",
        "ax.set_ylabel(\"objective function\")\n",
        "ax.set_title(f\"Final Coupling Efficiency: {ce_vals[-1]:.2f}\")\n",
        "ax.axvline(x=32, color=\"r\", linestyle=\"--\")\n",
        "\n",
        "ax.legend()\n",
        "plt.show()"
      ],
      "id": "4a05724a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Interestingly, fully binarizing the design from iteration 32 produced a\n",
        "device with great coupling efficiency (~97%), but minimal purcell\n",
        "enhancement"
      ],
      "id": "876769ec-5335-48cc-8314-a2d26345f59c"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'iteration')"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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9732PoAkAAAAAgEGSi8omSRpbY+1MasxzK12y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\nGjFLAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "plt.plot([np.linalg.norm(grad) for grad in history_dict[\"gradients\"]])\n",
        "plt.ylabel(\"norm(grad)\")\n",
        "plt.xlabel(\"iteration\")"
      ],
      "id": "b9fa335a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Makes a nice animation of the design parameters and gradient evolution\n",
        "during the optimization"
      ],
      "id": "b13536f7-d3a8-46f7-83dd-813ee18cebd4"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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MMbkHAAAAACBzTO4BAAAAAMgck3sAAAAAADLH5B4AAAAAgMwxuQcAAAAAIHNM\n7gEAAAAAyByTewAAAAAAMsfkHgAAAACAzDG5BwAAAAAgc0zuAQAAAADIHJN7AAAAAAAyx+QeAAAA\nAIDMMbkHAAAAACBzTO4BAAAAAMgck3sAAAAAADLH5B4AAAAAgMwxuQcAAAAAIHNM7gEAAAAAyByT\newAAAAAAMsfkHgAAAACAzDG5BwAAAAAgc0zuAQAAAADIHJN7AAAAAAAyx+QeAAAAAIDM1bd1BQbh\nV7/6lT3yyCM2e/Zs23///W3+/Pnb7XkGWdfHHnvM7r777u7Xp5xyitXrM+KSJluyZIktXbrU5s6d\na/vvv7/NnTt3uz3PVI7R6XRs2bJl9thjj9n69ettp512smc961k2NDS0xfWYCUII3facP3++7b//\n/jZnzpzt8jxTPcaGDRts6dKl9vjjj1uj0bC9997b9thjjy39KDNGURT2wAMP2BNPPGELFiywAw44\nwGbNmrVdnmcQxxgbG7Of/vSntnr1ajMze85znmNPf/rTt+gY27Ply5fbgw8+aO122/bZZ59p+2yD\nOM/2coyZ4sknn7SHHnrIiqKwZzzjGbb77rtvt+cZxDGWLFliDz74oIUQbMGCBXbMMcds8TFmiiee\neMIeeughq1Qqtu+++9quu+663Z5nKsdotVr2xBNP2NKlS63ZbNrTnvY0O/DAA61SqWxxPWaKxx57\nzH79619bvV63Zz7zmbbzzjtvt+eZyjFCCLZ8+XJ77LHHbOXKlTZ//nw78MADp22e4k+erc9+9rPh\noIMOCmbW/a/RaISXv/zlYcmSJdvVeQZd13a7HY499tjS8VauXLnFx8nV5ZdfHvbbb7/S5x8eHg6/\n93u/Fx599NHt6jz9HmPVqlXhoosuCi95yUvCnDlzSvtv7j9nnHFG+MEPfjCoj7vdK4oifOxjHwvP\neMYzSm0xa9ascP7554cnnnhiuznPVI5xzTXXhDe/+c3h4IMPjq67mYUDDjggXHzxxaHVag3k8+ag\n3W6HD3/4w2HPPfcstcXcuXPDG97whrB8+fLt5jxTPcZnP/vZ8Ed/9Edh8eLFYWhoqHSMT33qUwP5\nnNvaj3/843DqqaeGarVa+nyLFy8O3/rWt7ar82wvx5gpbr311nDSSSeFSqVSaovjjjsufPe7392u\nzjOVY9x+++3hve99b3jpS18adtlll9L+z33ucwfxEbPz3e9+Nxx33HGltqhUKuGkk04Kt95663Z1\nnn6Pcffdd4e//uu/Ds973vOi8dvMwsKFC8Mf/uEfhqVLlw7q42bh2muvDUcddVSpLarVajjttNPC\nnXfeuV2dp99jFEURPvnJT4ZXvOIVYeedd46ufaVSCSeeeGL40pe+NKiPK2U7uX/rW9/abax58+aF\n4447rvQiPH/+/PDjH/94uzjPdNT1Qx/6UNRpdpTJ/QUXXND9zAsWLAjHH398eNazntXdtvPOO4df\n/OIX28V5pnKM//7v/+6Wq9frYe+99w7HHXdcOPLII8NOO+1UGiwuu+yyKX/e7V2n0wmveMUrup97\n0aJF4YQTTgj7779/d9vuu+8+5R/sDeI8Uz3G0UcfXbq399prr3DiiSeGo48+uvSycMIJJ4Q1a9ZM\n6fPmoNVqhZe97GWl++aEE04I++67b3fbPvvsEx555JFtfp5BHKNWq3XLDg0NlfrNTJjcf/WrXw2N\nRqP7wnTEEUeEY445ptu3K5VK+Pu///vt4jzbyzFmis997nPd/l2v18NRRx0VFi9eXGqff/zHf9wu\nzjPVY1x44YWlcXzfffcNIyMjO+zk/tOf/nT3h1uNRiMsXrw4HHnkkd02rtVq4XOf+9x2cZ6pHOM9\n73lP6bovWLAgLF68OJx44olh0aJFpWfDbbfdNuXPm4OLL764+7lHRkbCscceGw4//PBSG19zzTXb\nxXmmcoxWq1X6YcDuu+8ejj766PDc5z437LHHHqV+8cY3vnHKn3ciWU7u/+Vf/qXbOL/3e78XVq9e\n3f3ezTffHHbbbbdgZmHPPfcM69at26bnmY663nvvvWFkZCQMDQ2Fk08+eYea3F922WWlG2N8m11/\n/fXdgfPAAw8MzWZzm55nqse47777wl/91V+F73//+2FsbKz0vU6nE7785S+Hpz/96d0Hze233973\n583BBz/4wW57vvWtbw0bN27sfu/rX/96mDdvXjCzcNhhh4VOp7NNzzPVYxx99NFh0aJF4Z3vfGf4\n5S9/WfreU089FV772td2j/+qV72q78+ai7/6q7/qft53vetdpfvh6quvDrNmzQpmm36btq3PM4hj\nvO51rwuXXXZZ+OEPfxjGxsbCjTfeOGMm9w899FCYPXt2MLPw7Gc/O9x7773d7y1dujScdNJJ3Rej\nm2++eZueZ3s5xkxxzz33hOHh4WBm4fDDDy/9cPPXv/51968R6/V6uOOOO7bpeQZxjE9+8pPh3e9+\nd/jGN74Rli1bFkII3R/U7WiT+9tvvz3U6/XuZ3/44Ye733vggQfC4YcfHsw2/VXjPffcs03PM9Vj\nvOc97wm1Wi286lWvCjfddFNot9vd77VarfDxj3+8+wOiPfbYY8b/gP6mm27q/uXLC17wgtJfLd59\n993dX3jNnTu31Nbb4jxTPUan0wl//Md/HP7zP/9TXtfvf//7pb8IuPLKK/v+vJPJbnLfbDbDPvvs\nE8wsHHLIIXJS9K1vfavbcB/4wAe22Xmmo66dTieceOKJwczC3/zN35R+MjzTJ/fr1q3r/mnbcccd\nJydF//7v/95tj0984hPb7Dxbq67f+c53usf40z/9076OkYMVK1aE+fPnBzMLp556qizzj//4j1Me\nMAdxnkEc4/LLLw8rVqyYsJ5FUYTTTjute4z7778/8RPmZ+nSpd0J8ZlnninLfOxjH+u2Rb9/7jaI\n80xXXWfS5H7zXzMNDQ3JF+OnnnqqO3aedNJJ2/Q828sxZopzzz03mFmYPXt2ePDBB6PvP/bYY2HB\nggXBzMJLXvKSbXqe6arrjjq5/+3f/u1gtum32I899lj0/QcffLD7Q7BXvOIV2/Q8Uz3GN77xjfCz\nn/1s0np+9KMf7Y7pH/vYxxI/XZ42L23Ybbfd5HvNz3/+8+4PU6by2+xBnGdr1HXp0qXdv9p6wQte\n0Ncxeslucn/ttdd2b4jPfOYzE5Y78sgjg9mm34puq/NMR10vvfTSYGbhWc96VhgdHd2hJvef+9zn\nup/1y1/+sixTFEX34bl48eJtdp6tVdeiKLoDzbnnntvXMXLwqU99qtue1113nSzTarW6f/Z0yimn\nbLPzbK26jv/h0D/90z/1dYwcXHLJJd3Pecstt8gyGzdu7P4lzBlnnLHNzjNddZ0pk/v169d3X4pf\n+cpXTljuXe9615R+cDWI82wvx5gpVq5c2f1t5etf//oJy/3Jn/xJMNu0VEFNrLbGeaazrjvi5P6x\nxx7r/jb0LW95y4TlXve61wWzTX/23M/77CDOs7XqumbNmu6feZ9zzjlbvH8u7rnnnu7Y9u53v3vC\nci9/+cuD2abfiI+Ojm6T82ytuobwm6WXBxxwQF/795LdP4V3zTXXdP//ZS972YTlNn/vvvvus1/+\n8pfb5DyDruuSJUvsL//yL83M7JOf/KQNDw9P8glmns3t2Wg07MUvfrEsU6lU7CUveYmZmd122232\nxBNPbJPzbK26rlmzxtrttpmZPeMZz9ji/XOxuT3nzJljL3jBC2SZer3ebev/+q//sjVr1myT82yt\nuo5P7F25cuUW75+Lze25884723HHHSfLjIyM2GmnnWZmZtdff701m81tcp6tVddc3XjjjbZhwwYz\nMzvjjDMmLDf+eTn+Obo1z7O9HGOm+Na3vmWtVsvM0toihGDXXnvtNjnP1qrrjuKb3/ymhRDMLK09\nW62WXXfdddvkPFurrvPmzev+yykz+fn9jW98o/v/Ke25bt06u+mmm7bJebZWXc3MVqxYYWbT996e\n3eT+pz/9qZmZ7b333pP+cxTj/4mRzfts7fMMsq4hBHvDG95gGzZssNe//vV2yimn9PwMM83mtnn2\ns59ts2fPnrDc+Pb82c9+tk3Os7Xq+nd/93dmZlar1ez888/f4v1zsbk9DzvssEn/ucfN7dnpdEr/\nTOTWPM/WqusvfvGL7v9P1z8htT3Y3J5HHXXUpP980Ob2HBsb6+sHuoM4z9aqa67GP9+OPvroCcsd\nffTR3fabyvN7KufZXo4xU6S2xaDe3aZynq1V1x0F1z728MMP2/r1681sx3h+12o1O+KIIyYsN6hr\nP5XzbK26XnXVVfbggw+amdnrXve6Ld4/RXaT+/vvv9/Mev+0Y5999un+/3333bdNzjPIul5++eV2\n44032tOe9jT7yEc+MunxZqod9dqbmT366KN2ww032A033GD/8R//YZdeeqkdc8wxdtFFF9nw8LBd\nccUVdthhh016rly122176KGHzGx6r/0gzrO16loUhX360582s00Poon+QiB3a9eutWXLlpnZ9Lbn\nIM6zteqas83jotnkbTQyMtL9gfhUxvCpnGd7OcZMsbkt6vW67bnnnhOW22mnnbr/DvRUrv1UzrO1\n6rqj2Nyec+fOtZ122mnCcnvuuafVajUzm9q1n8p5tlZdr7jiiu7/v/CFL9zi/XOxuT332GMPazQa\nE5Yb1Hv7VM4z6LquWbOm+97+jW98wy6//HJ72cteZq997WvNzOztb3+7veY1r5nkU/Vv4l8rbadW\nrVplZmaLFi2atNz4769evXqbnGdQdf31r39tf/EXf2FmZpdccsmkA85M1Wq1un/eOJ3XfhDnmY66\nfv3rX7c3v/nN0fYzzzzTLr3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UmaCfJjxnkuZKifdOdM0GOY+YAL+5BwAAAAAg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\nJOngfLmXJEmSJOngfLmXJEmSJOng/h+twmhEO0lFlwAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "import matplotlib.animation as animation\n",
        "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
        "\n",
        "fig, axs = plt.subplots(nrows=2, ncols=1)\n",
        "\n",
        "gradients = history_dict[\"gradients\"]\n",
        "params = history_dict[\"params\"]\n",
        "gradients = [unfold_params(grad).T for grad in gradients]\n",
        "params = [unfold_params(init_par).T] + [unfold_params(1.0 - p).T for p in params]\n",
        "\n",
        "div = make_axes_locatable(axs[1])\n",
        "div0 = make_axes_locatable(axs[0])\n",
        "cax = div.append_axes(\"top\", size=\"5%\", pad=0.05)\n",
        "cax0 = div0.append_axes(\"bottom\", size=\"5%\", pad=0.05)\n",
        "cax0.axis(\"off\")\n",
        "\n",
        "\n",
        "def animate(i):\n",
        "    im_g = axs[1].imshow(\n",
        "        gradients[i], interpolation=\"none\", vmin=np.min(gradients[i]), vmax=np.max(gradients[i])\n",
        "    )\n",
        "    axs[0].imshow(params[i], interpolation=\"none\", cmap=\"gray\", vmin=0, vmax=1)\n",
        "    axs[1].axis(\"off\")\n",
        "    axs[0].axis(\"off\")\n",
        "    cax.cla()\n",
        "    fig.colorbar(im_g, cax=cax, orientation=\"horizontal\").ax.xaxis.set_ticks_position(\"top\")\n",
        "\n",
        "    axs[0].set_title(f\"iteration {i}\")\n",
        "\n",
        "\n",
        "anim = animation.FuncAnimation(\n",
        "    fig, animate, frames=len(history_dict[\"params\"]), blit=False, interval=500\n",
        ")\n",
        "anim.save(\"autograd_anim.mp4\", fps=2.0)"
      ],
      "id": "ba917dd2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Interestingly, the final quantum emitter light extractor resembles a\n",
        "nanocavity, even though we have considered only the coupling efficiency\n",
        "into the output waveguide in the optimization. We have DBR mirrors on\n",
        "both sides of the dipole. However, on the left side, the mirror has only\n",
        "a few periods and partially reflects the radiation, which couples to the\n",
        "output waveguide."
      ],
      "id": "3ebe1ead-6d50-4691-8caa-b9ae22a251a1"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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++FEotI9f+LtbP3Mdq26XzD+trvJSoLrJ8LdypSrQ212fgcOu/3ttti0z1dJh1+bPeGDfbhh5sK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\nPS/tGu9ofGy87rkoxiFqdO3QruOzW9dFMNAaybjpiYqBsmbLf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          }
        }
      ],
      "source": [
        "# here, removing substrate improved performance, but also blue-shifted cavity resonance a bit.\n",
        "\n",
        "fig, ax = plt.subplots(1, figsize=(10, 4))\n",
        "# Substrate layer.\n",
        "substrate = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -wg_thick / 2)\n",
        "    ),\n",
        "    medium=td.Medium(permittivity=1.0),\n",
        ")\n",
        "sim_final = make_adjoint_sim(params2, beta=final_beta, unfold=True)\n",
        "sim_final = sim_final.updated_copy(monitors=[field_monitor_xy, mode_monitor, flux_monitor])\n",
        "sim_final.plot_eps(\n",
        "    z=0,\n",
        "    source_alpha=0,\n",
        "    monitor_alpha=0,\n",
        "    ax=ax,\n",
        ")\n",
        "plt.show()"
      ],
      "id": "e6d1d4f2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To better understand the resultant design, let’s simulate the final\n",
        "structure to obtain its spectral response and field distribution."
      ],
      "id": "5698a752-d600-4161-bf0a-da23a197b0fa"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "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\">23:03:17 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'final QE light extractor'</span> with resource_id           \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-7158aa53-229e-4930-858a-eea3fc20abca'</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-7158aa53-229e-4930-858a-eea3fc20abca\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-7158aa53-229</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7158aa53-229e-4930-858a-eea3fc20abca\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">e-4930-858a-eea3fc20abca'</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\":\"4a4f8e9f56b94a0092174cbdc17013cc\",\"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\">23:03:19 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.057</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\">23:03:20 UTC </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
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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\">23:03:37 UTC </span>starting up solver                                                 \n",
              "</pre>"
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        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
              "</pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"1a505fbacb5a42d1bf16be6577371811\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">23:03:54 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">33</span>%, exiting.                            \n",
              "</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\"></pre>"
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        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = postprocess                                               \n",
              "</pre>"
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        {
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          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"9500ca5596e34b55b54f3baad2d92ea5\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">23:03:59 UTC </span>status = success                                                   \n",
              "</pre>"
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        },
        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        {
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            "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\">23:04:01 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7158aa53-229e-4930-858a-eea3fc20abca\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-7158aa53-229</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7158aa53-229e-4930-858a-eea3fc20abca\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">e-4930-858a-eea3fc20abca'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"074a721438d8473ebef4c6b718fcabd2\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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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\">23:04:06 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data_final = web.run(sim_final, task_name=\"final QE light extractor\")"
      ],
      "id": "255f3ac1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In this cavity-like system, the extraction efficiency of photons from\n",
        "the QE into the collection waveguide mode is proportional to\n",
        "$\\beta\\times C_{wg}$, where the $\\beta$-factor quantifies the fraction\n",
        "of the QE spontaneous emission emitted in the cavity mode, and $C_{wg}$\n",
        "is the fraction of the cavity photons coupled to the guided mode\n",
        "`A. Enderlin, Y. Ota, R. Ohta, N. Kumagai, S. Ishida, S. Iwamoto, and Y. Arakawa, \"High guided mode–cavity mode coupling for an efficient extraction of spontaneous emission of a single quantum dot embedded in a photonic crystal nanobeam cavity,\" Phys. Rev. B 86, 075314 (2012)`\n",
        "[DOI:\n",
        "10.1103/PhysRevB.86.075314](https://link.aps.org/doi/10.1103/PhysRevB.86.075314).\n",
        "By the field distribution image below, we can see a cavity mode\n",
        "resonance, which should increase the Purcell factor at the QE position,\n",
        "thus contributing to a higher $\\beta$-factor. At the same time, the\n",
        "partial reflection mirror at the left side was potentially optimized to\n",
        "adjust $C_{wg}$."
      ],
      "id": "84b6d5c5-46e4-4f65-9a1a-e421bd613cd5"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "f, ax1 = plt.subplots(1, 1, figsize=(12, 4), tight_layout=True)\n",
        "sim_data_final.plot_field(\"field_xy\", \"E\", \"abs^2\", z=0, ax=ax1, f=freqs[0])\n",
        "plt.show()"
      ],
      "id": "2029d91b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To conclude, we will calculate the final coupling efficiency and the\n",
        "cavity Purcell value. The coupling efficiency is above 80% along an\n",
        "extensive wavelength range, and we have confirmed the Purcell\n",
        "enhancement."
      ],
      "id": "ec4881c4-5bac-486a-95c8-c933b8b1f8f6"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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nZ6tdu3YOHwsAAABA/RDqAgCAZisrK0vr1q2zBbnHjh2r871ubm4aNmyYLcAd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\ntDw8PJxcMQAAAACgOTh06JB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NtjahLgAAAHCBS0Ld1NRU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bb7xR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\nSVJaWlq+5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aprr71WcXFxCgkJ0V133aWOHTvq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+zm3WHTt2oLKyEnfu3FH4Puu7L8fS0hLdunWT215eXq5WO+nEiRMAZK9BgMYrrzo6d+6Mw4cP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\nYXUAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Coupling efficiency.\n",
        "mode_amps = sim_data_final[\"mode_monitor\"].amps.sel(direction=\"-\", mode_index=0)\n",
        "mode_power = np.abs(mode_amps) ** 2\n",
        "dip_power = np.abs(sim_data_final[\"flux_monitor\"].flux)\n",
        "coup_eff = mode_power / dip_power\n",
        "\n",
        "# Purcell factor.\n",
        "bulk_power = ((2 * np.pi * freqs) ** 2 / (12 * np.pi)) * (td.MU_0 * n_wg / td.C_0)\n",
        "bulk_power = bulk_power * 2 ** (2 * np.sum(np.abs(sim_final.symmetry)))\n",
        "purcell = dip_power / bulk_power\n",
        "\n",
        "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
        "ax1.plot(wl_range, coup_eff, \"-k\")\n",
        "ax1.set_xlabel(\"Wavelength (um)\")\n",
        "ax1.set_ylabel(\"Coupling Efficiency\")\n",
        "ax1.set_ylim(0, 1)\n",
        "ax1.set_xlim(wl - bw / 2, wl + bw / 2)\n",
        "ax2.plot(wl_range, purcell, \"-k\")\n",
        "ax2.set_xlabel(\"Wavelength (um)\")\n",
        "ax2.set_ylabel(\"Purcell Factor\")\n",
        "ax2.set_xlim(wl - bw / 2, wl + bw / 2)\n",
        "plt.show()"
      ],
      "id": "f9bbd67d"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.9754737614849407\n",
            "0.8013754449981956"
          ]
        }
      ],
      "source": [
        "print(np.max(coup_eff.values))\n",
        "print(np.min(coup_eff.values))"
      ],
      "id": "8a5303b7"
    },
    {
      "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": "dbdc77aa-9f10-4b11-b94c-5b4607a86d59"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {},
      "outputs": [],
      "source": [
        "# make the misc/ directory to store the GDS file if it doesn't exist already\n",
        "import os\n",
        "\n",
        "if not os.path.exists(\"./misc/\"):\n",
        "    os.mkdir(\"./misc/\")\n",
        "\n",
        "sim_final.to_gds_file(\n",
        "    fname=\"./misc/inv_des_light_extractor_autograd.gds\",\n",
        "    z=0,\n",
        "    permittivity_threshold=(eps_max + eps_min) / 2,\n",
        "    frequency=freq,\n",
        ")"
      ],
      "id": "9868ed36"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}