{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Adjoint optimization of an integrated bandpass filter\n",
        "\n",
        "In this notebook, we will use broadband optimization to design a\n",
        "bandpass filter in an integrated photonic device.\n",
        "\n",
        "In short, this device takes in broadband light through a waveguide and\n",
        "encourages transmission to the output waveguide for a certain frequency\n",
        "range, while suppressing transmission outside of this range. <!-- \n",
        "<img src=\"img/adjoint_9.png\" width=400 alt=\"Schematic of the waveguide division multiplexer\"> -->\n",
        "\n",
        "<img src=\"img/adjoint_17.png\" width=400 alt=\"Schematic of the bandpass filter \">\n",
        "\n",
        "If you are unfamiliar with inverse design, we also recommend our [intro\n",
        "to inverse design\n",
        "tutorials](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/)\n",
        "and our [primer on automatic differentiation with\n",
        "tidy3d](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd1Intro/)."
      ],
      "id": "33d99e01-1cc2-47d4-a0b1-86e895f345b8"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import autograd as ag\n",
        "import autograd.numpy as np\n",
        "import matplotlib.pylab as plt\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web"
      ],
      "id": "b817f7b3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Setup\n",
        "\n",
        "First, we define some parameters that set up our optimization, such as\n",
        "the frequency points we are interested in as well as the geometric,\n",
        "material, and source parameters."
      ],
      "id": "a2e3fa5d-9d4a-4d5b-a1db-f7cac8f5d79c"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "wvl_min, wvl_max = 0.8, 1.2\n",
        "fmin, fmax = td.C_0 / wvl_max, td.C_0 / wvl_min\n",
        "\n",
        "num_freqs = 51\n",
        "freqs = np.linspace(fmin, fmax, num_freqs)\n",
        "\n",
        "freq0 = np.mean(freqs)\n",
        "lambda0 = td.C_0 / freq0\n",
        "fwidth = freq0 / 10\n",
        "run_time = 100 / fwidth\n",
        "\n",
        "wvl0 = td.C_0 / freq0"
      ],
      "id": "44e61047"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We will use a photonic integrated circuit with a 2D design region, so we\n",
        "set up some parameters to define that region."
      ],
      "id": "38042b64-ca1f-4952-90e6-95b8ef729a80"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "size_design_x = 10 * wvl0\n",
        "size_design_y = 5 * wvl0\n",
        "\n",
        "width_wg = 0.4 * wvl0\n",
        "\n",
        "length_wg = 2 * wvl0\n",
        "\n",
        "size_buffer = 1.5 * wvl0"
      ],
      "id": "53dc008b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "And then some positions and length scales to help us keep track of\n",
        "things later on."
      ],
      "id": "cd9e2ca7-bd95-4a16-9ab7-9f17a4d36945"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "size_sim_x = length_wg + size_design_x + length_wg\n",
        "size_sim_y = size_buffer + size_design_y + size_buffer\n",
        "\n",
        "center_wg_in_x = -size_sim_x / 2 + length_wg / 2\n",
        "center_wg_in_y = 0\n",
        "\n",
        "center_wg_out_x = +size_sim_x / 2 - length_wg / 2\n",
        "center_wg_out_y = 0\n",
        "\n",
        "center_design_x = 0\n",
        "center_design_y = 0"
      ],
      "id": "ba3f6969"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Our material will just be a simple dielectric with relative permittivity\n",
        "of 4."
      ],
      "id": "f98e2794-b77b-4522-985b-0285b2e1fa11"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "eps_mat = 4.0\n",
        "mat = td.Medium(permittivity=eps_mat)"
      ],
      "id": "3ee2e5cb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next, we define some discretization parameters for our simulation and\n",
        "design region."
      ],
      "id": "fde28fbb-9ca2-4eeb-99d0-4e3309992fc7"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "min_steps_per_wvl = 25\n",
        "dl_design_region = 0.015"
      ],
      "id": "46d772c6"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "nx = int(np.ceil(size_design_x / dl_design_region))\n",
        "ny = int(np.ceil(size_design_y / dl_design_region))"
      ],
      "id": "81138092"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Static Components\n",
        "\n",
        "In the next step, we will define the “static” tidy3d simulation\n",
        "components that do not change over the course of optimization. For\n",
        "example, the sources, monitors, and many of the structures.\n",
        "\n",
        "We’ll put these into a base simulation, which we can easily update with\n",
        "our optimizing components later."
      ],
      "id": "5aa315c8-3186-4c42-9084-4a3aa5ab125e"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "waveguide_in = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=(center_wg_in_x - length_wg, center_wg_in_y, 0),\n",
        "        size=(3 * length_wg, width_wg, td.inf),\n",
        "    ),\n",
        "    medium=mat,\n",
        ")\n",
        "\n",
        "waveguide_out = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=(center_wg_out_x + length_wg, center_wg_out_y, 0),\n",
        "        size=(3 * length_wg, width_wg, td.inf),\n",
        "    ),\n",
        "    medium=mat,\n",
        ")\n",
        "\n",
        "design_region_static = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        size=(size_design_x, size_design_y, td.inf),\n",
        "        center=(center_design_x, center_design_y, 0),\n",
        "    ),\n",
        "    medium=td.Medium(permittivity=np.mean([1, eps_mat])),\n",
        ")"
      ],
      "id": "1710cdf6"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "mode_plane_size = 5 * width_wg\n",
        "num_modes = 1\n",
        "mode_spec = td.ModeSpec(num_modes=num_modes)\n",
        "mode_index = 0\n",
        "\n",
        "src_mode = td.ModeSource(\n",
        "    size=(0, mode_plane_size, td.inf),\n",
        "    center=(center_wg_in_x, center_wg_in_y, 0),\n",
        "    direction=\"+\",\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=mode_index,\n",
        "    num_freqs=10,\n",
        "    source_time=td.GaussianPulse(\n",
        "        freq0=freq0,\n",
        "        fwidth=fwidth,\n",
        "    ),\n",
        ")\n",
        "\n",
        "mnt_mode = td.ModeMonitor(\n",
        "    size=(0, mode_plane_size, td.inf),\n",
        "    center=(center_wg_out_x, center_wg_out_y, 0),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode\",\n",
        ")\n",
        "\n",
        "mnt_field_0 = td.FieldMonitor(\n",
        "    size=(td.inf, td.inf, 0), center=(0, 0, 0), freqs=[freq0], name=\"field_single\"\n",
        ")\n",
        "\n",
        "mnt_field_all = mnt_field_0.updated_copy(freqs=freqs)"
      ],
      "id": "f80a77ee"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "# mesh override structure over the design region helps keep the resolution constant across this space\n",
        "override_structure_design = td.MeshOverrideStructure(\n",
        "    geometry=design_region_static.geometry,\n",
        "    dl=3 * [dl_design_region],\n",
        ")\n",
        "\n",
        "sim_base = td.Simulation(\n",
        "    size=(size_sim_x, size_sim_y, 0),\n",
        "    structures=[waveguide_in, waveguide_out, design_region_static],\n",
        "    sources=[src_mode],\n",
        "    monitors=[mnt_mode],\n",
        "    grid_spec=td.GridSpec.auto(\n",
        "        wavelength=wvl0,\n",
        "        min_steps_per_wvl=min_steps_per_wvl,\n",
        "        override_structures=[override_structure_design],\n",
        "    ),\n",
        "    boundary_spec=td.BoundarySpec.pml(x=True, y=True, z=False),\n",
        "    run_time=run_time,\n",
        ")"
      ],
      "id": "d6f5ce9b"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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w+x8QEKDGjRvrgQce0KZNm4p8bx1x5ftdEfn7++vjjz/WsmXLNGzYMMXExMjX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\nkqQrrrhC3bp1K7a8n5+f7rn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1wgsv6NNPP1VqamqhMtHR0RozZowee+wx8zu6oFGjRum6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\nU6dOvqtOnHXttdfq+eeflyTNnTu3yGTr3LlzJUl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3Xrrbea0X1J0sKFC/XJJ580e8zp9XrlcrlMa78pKZk5c7lcKioqUiAQiOrK5ViFrwJu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\nS8nuQovdc889Ovjgg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H7iJ/6yyP1kx19f0jYV\nB+Bo/e65555kdwEAAABAGgrPiG5qcqTNZovcDi+R3dqRsG3E3XffraVLl6qoqGi3vWHNUFxcLElN\nbpZc+3j4MWbW0ZTS0tIGj9U+gZUMiTppl2on68KIn/gl4if+sjrfiZ/4zUT8xE/8ZZH7qRL/rknb\nQCCQ9nsYIX307NlTq1atklSzNJ6ZK1DFU1lZWWT2wapVq5Sfn5/cDrVRvA7Jx2uQGngdUgOvQ/Lx\nGqSGdH0dQqFQZPWXpnIjZsnLy1NJSUlC2mqOsrKytPpMHpadna2ysjJ5PJ5Gy1VXV0du5+TkxLtb\nKYGEbQOWLl0auWr4sccei8v68BUVFZKkdu3aNVqu9vHwY8ysoynt27dvUflEi/dJu1Q9WRdG/MQv\nET/xl9X5TvzEbwbiJ37iL4vcT7X4d03akrBFotjtdvXp0yfZ3YhJfn5+Su7l1dbwOiQfr0Fq4HVI\nDbwOycdrkBrS7XVI9DLIVqs1pZ6fVOpLS7Rv314bNmzQjh07Gi23bdu2Oo9pC9Ir9Z4ggUBA5557\nrvx+v04//XQdeuihcWknfIVA+IRLQ2qvGV/7qgKz6mgNsrOz61z9U1ZWJrfbHXO9qX6yLoz4iZ/4\n8yP3iZ/4iZ/4Y0X8xJ8O8TudTjkcjmR3AwAAAACAZhs4cKAkac2aNZHlkeuzZs2a3R7T2pGwrce9\n996rJUuWqH379rr//vvj1k541q7P52u0nNfr3e0xZtbRlJKSkga/wsthpQKzT9qly8m6MOInfuLP\nj9wnfuInfuKPFvETfzrF73Q6ZbezaBIAAAAAID3svffekqSqqir98MMPDZb74osvdntMa9dmRvdf\nfvml3nvvvXqPDRo0SFOmTJEkLV++XHfccYckacaMGerUqVPc+tSuXTtt2bKlySWKax/fdeljM+po\nSjpNrTdrebx0O1kXRvzELxE/8ZfV+U78xN8SxE/8xF8WuZ8u8TscjiYv3gQAAAAAIBX84Q9/0E03\n3SRJeuONNzR8+PB6y73++uuSpN69e2vYsGEJ618ytamE7e23317vsWOPPTaSsF2wYIG8Xq9ycnK0\nZs0aTZs2bbfyn332WeT2gw8+qPz8fGVlZem6665rUZ969+6tlStXat26dY2Wq328d+/eptfR2sR6\n0i5dT9aFET/xS8RP/GV1vhM/8TcH8RM/8ZdF7qdb/IZhJLsLAAAAAAA0aejQoRo3bpz++9//6pFH\nHtGll16qjh071inz7rvv6uuvv5YkXXjhhcnoZlK0mYTt6NGjddttt9V7bNCgQbv9rLKyssEEb20P\nPfSQpJoNrluasB06dKjmz5+vbdu2acuWLerSpUu95ZYuXRq5PWTIENPraI2iPWmX7ifrwoif+CXi\nJ/6yOt+Jn/gbQ/zET/xlkfvpGj8AAAAAAMk2YcIE/frrr8rNza2Tl6ptxowZOuCAA7R9+3Ydfvjh\neuaZZzR06FAZhqHXX39d5513niSpT58+uvLKKxPZ/aRqUwnb0aNHN6tcQ4ndsPnz52vhwoWSpCuv\nvDIyw7alJk6cqAcffDBS52mnnVZvuQULFkiqOdk0btw40+torVp60q61nawjfuKXiJ/4y+p8J37i\nrw/xEz/xl0Xup3v8AAAAAABEa/bs2br++usj92uv5jR79mzNnz8/cj87O1vLli3brY4NGzZozZo1\nysvLa7Cd3/3ud5o1a5YuvPBCLVmyRMOGDVPHjh1VVVWlqqoqSVJhYaHee++9qHJv6arNJGybqzmJ\nXY/HE0nYXnXVVVEvMTxx4kR17NhR27dv18yZM3XqqafKYrHUKbN+/Xq9+eabkmqWbs7MzDS9jtas\nuSftWuvJOuInfon4ib+sznfiJ/7aiJ/4ib8scr+1xA9gdwUFBSwdngJ4HZKP1yA18DqkBl6H5OM1\nSA28DqitoqJCa9asqfdYZWWlKisrI/djHT+fc845Gj58uO666y598MEH2r59uySpc+fOOvnkk3Xb\nbbepQ4cOMbWRbkjYxtEjjzyi7du3KyMjQzfccMNux10ul2666SZdffXVWrRokW6//fY6e+ZWVlbq\n9NNPl9frlc1m06233hqXOlq7pk7atfaTdcRP/BLxE39Zne/ET/wS8RM/8bfm+AEAAAAAaKkpU6Zo\n4sSJzSprtVrr/fmCBQvk9/sbPF7bvvvuqzfeeEOGYWjbtm1yuVyNzsxt7UjYxtEjjzyin3/+WXl5\nefUmbCXp8ssv1/z58zVnzhzdfvvtmjNnjg466CC53W698cYb2rx5s6SavXIHDhwYtzpau4ZO2u16\nu7WerCN+4peIn/jL6nzf9TbxEz/xE39r09bjBwAAAACgJXJycpSTkxNTHd27d2/xYywWizp37hxT\nu60BCdsks9lsevXVV3XjjTdq5syZWrx4sRYvXhw53rFjRz344IMN7k1rVh1tQWMn7aTWf7KO+Ilf\nIn7iL6vzPYz4iZ/4ib+1auvxAwAAAACA9EDCNgoTJ05URkaGpJqTPA257LLLIksiNyYjI0MPPPCA\nbr75Zs2dO1fr1q2Ty+XSgAEDNGHCBDmdzib7ZEYdbcGuJ+3C2srJOuInfon4ib+szs+Jn/iJn/hb\nu7YePwAAAAAASH0kbKMwceLEZq3jfdlll7Wo3g4dOuiUU06Jtlum1QEAAAAAAAAAAAAgMZre9Rdo\nRdxu926zK6SaGRdutzvxHUow4id+4i/b7efET/zET/ytHfG37fgBAAAAAEDqI2GLNmPXk3X5+fl1\nlrRu7SftiJ/4ib8scp/4iZ/48yP3iZ/4ib/1xg8AAAAAANIDSyIjJqFQqNH79TEMQ4ZhKBQKyefz\nxatrdVRXV6u8vDxyPzc3Vw6HQ5KUk5MTOVZSUqJAIKDMzMyE9CtRiJ/4iZ/4w4if+Imf+CXiT/X4\nQ6FQnc/MjTEMo87jAAAAAABA+rEYtUf4QAutXr1aRUVF+vOf/yy73a7mvJ0sFotCoZCCwaCqqqri\n3keHwyGXyxW57/V65ff7W1wmXRE/8RM/8YcRP/ETP/G3tEy6Svf4s7KyZLPZZLVam/35+o477tCq\nVavUp0+fBPQQSI5QKKTq6mplZ2fHrY3q6mrZ7fbIBR7JqiOVVVRUyOv1SpKcTqdyc3NNrd8wDLnd\nbuXk5CS1jlTk8/nk8/kSElf4Na79vzIZdaSCiooK5eTkyGKxpHw7ieprIgUCAVVXVyckLr/fH/OF\nfGbUkcqqq6sjK9RYrVa1b9/e9DYqKyuVlZUlqzX6xUHNqCOVVVZWKjs7O26/E8FgUF6vV1lZWUmt\nA2hzDCAGq1atMiTxxRdffPHFF1988cUXX0n+WrVqVbKHB4DpiouLjWuuucbo37+/YbfbDUlGXl6e\nMW7cOOOBBx4wNm/eHHMbK1euNM4991yjU6dOhiTDYrEYvXr1Mq699lpj+/btCasjHWzdutXo2LFj\n5O/OhAkTTKv72WefNcaNG2c4nU5DkpGRkWEcdNBBxiuvvJLQOlJFaWmp8frrrxtXXHGFsc8++xgd\nO3Y0LBZLJK7x48cbjz76qOHxeExrc+PGjcZll11mdOvWLfIad+3a1bjkkkuM9evXJ6yOVPD6668b\nv//9742MjAxDkuF0Oo2xY8caTz31lBEKhVKqnUT1NREqKyuNd99915g6daoxZswYo3PnzpH3vdPp\nNEaPHm3MmDHDqKioMK3NkpIS409/+pPRu3fvSFsdO3Y0zjnnHOOXX35JWB3pwO/3G/vss0/kd7tD\nhw6m1T1v3jzjqKOOMrKysgxJht1uN/bee2/j4YcfNgKBQMLqSFVVVVXGfffdZ4wdO9bIzMyM/C8Y\nPHiwcd111xlLly6NuY3Kykpj2rRpxoABAwyr1WpIMvLz840pU6YY33zzTcLqANoyZtgiJoFAQOvW\nrZNUs8xcOl+1VFZWpqKiIknSqlWr6uxvhtTB65Q+eK3SA69T+uC1Sg+8TumjtbxWoVAosrxzz549\nZbez6w1aj1mzZunqq6+OrMxksVjUrl07ud1uBYNBSdL111+v6dOnR93GnDlzdPLJJ0dmC7lcLgWD\nQQUCAUlS165dNXfuXA0dOjSudaSLk046Sa+88krk/oQJEzR//vyY6gwEAjrxxBP15ptvRn6WnZ1d\nZ4/xc889V08++WSDM4nMqCPVTJ8+XTfeeGOdn4VXh6isrIz8bOjQoZozZ4569eoVU3uLFi3S0Ucf\nrZKSkkhbFoslspVVQUGB3n77bY0fPz6udaSCCy+8UP/4xz8i93d9L/3hD3/Qq6++GvMsejPaSVRf\nE+WZZ57ROeecU+dnNptNWVlZqqioiPysqKhIb7/9toYMGRJTez/++KMOOeQQbdy4UZJkt9tls9ki\ns8OzsrL00ksv6ZhjjolrHeninnvu0U033RS536FDB23fvj3mem+++Wbdfffdkfu7vo/Hjx+vDz74\noNEVNsyoI1UtXrxYJ554ooqLiyM/y8nJkd/vj7zP9tprL3377bdRt7F+/XodfPDBWrlypaSa2dMu\nl0vV1dWSav6ez5o1S2effXZc6wDavGRnjIFUUVJSErlCrKSkJNndQQN4ndIHr1V64HVKH7xW6YHX\nKX3wWgGpbebMmZHf0XHjxhlz5841vF6vYRiG4fP5jC+//NK45pprjAceeCDqNn766ScjOzvbkGQU\nFRUZH3/8sREKhQy/32+89NJLRn5+viHJ6NWrl7Fz58641ZEuXnvttUgs7dq1M22G7ZVXXhl5rS+9\n9FJj6zB/45wAAEW6SURBVNathmEYxrp164zTTz89cuyuu+6Kax2p5i9/+YshyRgwYIBx//33G7/8\n8ktktmRxcbHxxz/+MRLXnnvuGfn9iMamTZsiM6cLCwuNd9991wgGg0YwGDTmzJljdO3aNTKbbsOG\nDXGrIxWEn3dJxqmnnmqsW7fOMIya2eWXX3555Nhll12W9HYS1ddEevrppw1JRs+ePY27777b+P77\n741gMGgYRs3s7RtuuCEya69bt25GWVlZ1G1VVFQYvXv3jqzc8K9//cvw+/1GKBQyPv74Y6Nv376G\nJCMrK8tYtmxZ3OpIFz/++KPhcrkMl8sVicuMGbbh11ySceSRRxorVqwwDMMwysrKjFtvvTUyY3ny\n5MlxrSNVff3110ZeXl7kPf/Pf/6zzthl5cqVxowZM4wzzzwz6jb8fr8xYsSIyKzdxx9/PLJ6w+LF\ni4299947MmP5008/jVsdAAyDhC3wG07apQdep/TBa5UeeJ3SB69VeuB1Sh+8VkDqWrZsWWRJ2+OO\nOy5uyxhOmjQpciL9119/3e34vHnzIn8nbrnllrjVkQ527NhhdOnSxZBkvPPOO0aHDh1MSdj+9NNP\nhs1mMyQZp59+er1lDj/88MhzvHHjxrjUkYqeffZZ45lnnml0SdupU6dG3l+zZs2Kuq2LL77YkGTY\nbDZj8eLFux3/+uuvI0uSX3DBBXGrI9k2b94cuQBj4sSJ9ZY566yzInFGm4Azo51E9TXR3nrrLePv\nf/+74ff7GywzY8aMyPv+jjvuiLqtadOmRer54IMPdju+evVqIycnx5BkHHPMMXGrIx0Eg0FjzJgx\nhiTjzjvvNCZMmGBKwraystIoLCw0JBl77713va/79ddfH3mOP/roo7jUkaq8Xq+x5557GpKM3r17\nx+1il8cffzzy/DzzzDO7Hd++fXvkM8CoUaPiVgcAErZABCft0gOvU/rgtUoPvE7pg9cqPfA6pQ9e\nKyB1HXPMMZETwfH6/dy4cWNkxk1js88OOOAAQ5LRuXPnyCwvM+tIF6eddlqd2UlmJWyvvfZaQ6rZ\n87ehfbi//PLLyN/r6dOnx6WOdFVSUhJJVp9wwglR1eF2uyP7ITY2++ykk06KzJzadf9QM+pIBX/7\n298i75PPP/+83jLFxcWRGZ5XXXVV0tpJVF9Tkc/nM3Jzcw1Jxn777RdVHaFQKDLre/z48Q2Wu+KK\nKyJ/X8IzmM2sI12E32/h2fxmJWyfe+65yPv4zTffrLdMWVlZZE/aKVOmxKWOVFV7tZG5c+fGrZ29\n9trLkGT079+/wYuE7rnnnkhf6rsox4w6ABhG+m44CgAAAAAAWpX169frvffekySdc845KigoiEs7\nb7/9tgzDkCSdcMIJDZabPHmyJGnr1q36/PPPTa8jHbz77rt64YUXlJeXp4cfftjUut966y1J0j77\n7KM+ffrUW2bUqFGR/VnD5c2uI10VFBREfkc2bdoUVR3z5s2L7C/YnPexx+PR3LlzTa8jFYTfG927\nd9eYMWPqLbPHHnto5MiRdcono51E9TUVORyOyO9ztO/7L7/8MvLY5rxnDcPQ22+/bXod6WDFihW6\n9dZbZbFYNGvWLDmdTtPqDr8vMzMzdcQRR9RbJi8vTxMnTpRUs2d8eH94M+tIVU888YQkaciQITrk\nkEPi0saaNWv03XffSZKOP/74Bvd5D7+Ppd3/nphRB4AaJGwBAAAAAEBKmD9/voLBoCTp6KOPjvzc\nMAyVl5dHEqSx+vrrryO3R40a1WC52omQ2o8xq45Ut3PnTl188cWSpOnTp6tr166m1V1RUaGVK1dK\nkkaPHt1o2fBz+O233yoUCplaRzpzu90qKSmRJOXn50dVR+33ZGPPYXN/F6KtI9kMw9C3334rqfnv\npdWrV6usrCzh7SSqr6kqFAppw4YNkuL/vh81apSsVutujzGrjlRnGIbOO+88VVdX68ILL9R+++1n\nav3h52PEiBGNJoLD7+Paf/PNrCMVbd68WUuXLpUkHXPMMXWOVVZWmpZ0bu77uH///pELhKL9XWis\nDgA1SNgCAAAAAICU8NVXX0Vu77vvvpo7d64OOeQQZWRkKC8vT06nU2PGjNHMmTPl8/mibufnn3+W\nJHXp0kXZ2dkNluvdu3fk9k8//WR6Hanummuu0YYNGzRu3DhddNFFptYdfv4kqaioqNGy4eewurpa\na9euNbWOdPavf/0rknweP358VHWEn0ObzRaZtVifHj16yG63S2r4dyGWOpJtw4YNqqyslNT895LU\n8jjMaCdRfU1V7733nkpLSyXF/r6XGn8OMzIy1KVLF0kNv+9jqSPVPfLII/r0009VWFiov/71r6bW\n7fV6VVxcLCn697EZdaSq2p+HRo4cqVWrVunss89WQUGB2rVrJ6fTqX79+mnq1KnasmVL1O1E8380\n2t+FxuoAUIOELQAAAAAASAnr16+XJLVv314zZszQYYcdpvnz5ysUCiknJ0eBQEBffvmlLrvsMh1w\nwAHasWNHVO2EH9epU6dGy9U+Hp7JaGYdqWzu3Ll66qmn5HA4NGvWrAaXOIxW7dcu2ufQjDrSVWlp\nqW655RZJUk5Ojs4777yo6gk/hwUFBZFkan2sVqvat28vqeHfhVjqSLZEvZd438fG4/Fo6tSpkiS7\n3a5LL700qnpqP4cdO3ZstGz4OWzofR9LHals9erVuvHGGyVJDz/8sPLy8kytv6ysLHLBSbTvYzPq\nSFXhz0NSzbLUw4YN07PPPqudO3eqXbt2kqRff/1V9913n4YNGxb1lgvR/D1p7Hch2joA1CBhC/ym\noKBAhmHIMIy47ZOE2PE6pQ9eq/TA65Q+eK3SA69T+uC1AlJTeMnOnTt36vbbb1e3bt30xhtvqKqq\nShUVFVq9erVOP/10SdIXX3yhU089Nap23G63pJqZT42xWCxyuVySFJnRZmYdqaqiokIXXnihJOm6\n667TkCFDTG8j/PxJTT+HmZmZkdu1n0Mz6khHoVBIp512mjZv3ixJuueee9S5c+eo6mru+1j633MY\n7e9CY3UkW6LeS7zvY3PxxRdHZvNdd911GjBgQFT1hJ9Du93e6EUGUtPv+1jqSFWGYeiCCy6Q2+3W\n0UcfrRNPPNH0NvhdaFztJcxvvvlm+Xw+TZ8+XSUlJSovL1dpaanuu+8+ORwObdu2Tccee2xUM22j\neQ4b+l2IpQ4ANUjYAgAAAACAlBIMBuVyuTRv3jxNmjRJDodDUs1Ses8995wmT54sqWYW6H/+858W\n1x+eLdqcPXHDZcJ7EJpZR6q67rrrtGbNGvXv318333xzXNqoPWO3qeew9vHaz6EZdaSja6+9Vu+/\n/74k6fjjj9fll18edV38LtRI1HuJ9330pk+frmeffVaSdMABB+j222+Pui7e942bNWuWFixYoOzs\nbM2cOTMubfC70HzBYFAPPvigrr/++si+zXl5ebrmmmv02GOPSZK2bt2q++67r8V1R/McNvS7EEsd\nAGrwmwEAAAAAAOLG6/Vq+/bt9X7t3LmzTtmcnJzI7RNOOEF77rlnvXWGl4KVpDfeeKPFfQq3U11d\n3Wi5YDAY2Su3dt/MqiORysrKGnwd/H5/pNxHH32kJ554QpL0+OOPN2vWZDRqPxdNPYe1j9d+nBl1\nJJLf72/wNag9m6oxd999tx588EFJNUmrF154IaY+Nfd9XLtMtL8LjdWRbIl6L7XF970Znnzyycjy\nvMOHD9dbb73V5KzWxoSfi2AwWOfvX32aet/HUkcqWrduna677jpJ0p133tnovtSx4HehcbX72Llz\n5wb3kT/nnHPUo0cPSbF9HpKa/xw29LsQSx0AapCwBQAAAAAAcfPKK6+oU6dO9X4de+yxdcp26dIl\ncnu//fZrsM7hw4dH9nD78ccfW9yn8PKx4SVlG1L7+K77splRRyIddNBBDb4O//73vyPlbrrpJhmG\noeOPP17Dhw+vN7kYniFTOwFZVVXVov7UXsK3qedw06ZNkdu1n0Mz6kikjz/+uMHXYOzYsU0+/pFH\nHonMeB41apTefffdmBPq4eewtLRUXq+3wXJ+v7/BfZvNqCPZEvVeaovv+1jNnj07kqwaMGCA5s2b\nF5llGK1onsOG3vex1JGKpk+frvLycg0ePFinnnpqoxf5GIYR+Vl5eXmL2qm953W072Mz6khVtT8P\njRkzpsELFKxWa+T/x8qVK5u8eGBX/C4AqYWELQAAAAAAiJuMjAx16NCh3q+8vLw6ZWvPqN312K5y\nc3Ml1ey32lKDBg2SJJWUlKi0tLTBcqtWrYrcHjx4sOl1JFJBQUGDr4PT6YyUC+9F9/rrrzeYXCwp\nKZEkffLJJ5Gf3XHHHS3qz4ABAyJLIq5cubLRsuHnMDc3V927dze1jkRyOp0NvgZN7af+1FNP6Yor\nrpBUc8HCBx98ELloIRbh97FhGHXeq7sqLi5WKBSS1PDvQix1JFuXLl0ir0Fz30sWiyUSeyLbSVRf\nU8Hbb7+t008/XaFQSH369NGCBQui3q+5ttrPRWPPYXl5ubZv3y6p4fd9LHWkovD/gOXLl6uwsLDe\n/wGffPKJpJr/f+GfnXTSSS1qx263q1+/fpKa/z6W6j6HZtSRqlryeaj28ZZ+Jmru+zgUCqm4uFhS\n9L8LjdUBoAYJWwAAAAAAEDeTJ09ucBnYt956q07Z2rMMt23b1mCdwWAwkjRs3759i/s0ZsyYyO1F\nixY1WG7hwoX1PsasOhLpww8/bPB1OPTQQyPlGkvshr/C+9U5HI7Iz7Kzs1vUn8zMTA0bNkxS48+f\nYRiR46NHjza9jkQ64IADGnwNGuv/Sy+9pAsuuECGYWjw4MGaP39+VO/7+rTF34WGhN8bX3zxRSSx\nXJ9wHEOGDGnx+96sdhLV12SaN2+eTjrpJAUCAfXo0UMLFiyILP0aq+a+Z//73//W+xiz6khF7dq1\na/J/QHhfeYvF0uAFWM0Rfj6WLl0aSRTXJ/w+7tSpk/r06WN6Halo0KBBkZnkjX0eqn3carW2+HUY\nNWpU5MKnxt7HS5cuVWVlpaTd38dm1AGgBglbAAAAAACQEsaNG6fCwkJJ0oIFCxost2jRosg+aKNG\njWpxO0cffXTkhPOLL77YYLmXXnpJktSnTx/ttddepteRihpL7Ia/wsnC2gnI2vsKN9dxxx0nqWYm\n17fffltvmfnz50dORk+aNCkudaSyt956S2eccYZCoZD69eunBQsWmLqU5IEHHhiZrdnY+/hf//qX\npJqZXAcffLDpdaSC8Htpx44dmjt3br1lvv/+ey1btkxS9O8lM9pJVF+T5dNPP9WkSZPk9XpVWFio\n//znP6Ym2YYOHRqZmRl+X9YnfMxut+voo482vY5U9Pe//73J/wEHHHCApJoLpsI/mz17dovbCr+P\nA4GAXnnllXrLbNq0SR9//LEk6dhjj41cMGRmHanIbrfrmGOOkVTzmaehbQe8Xm8kGb3PPvvIZrO1\nqJ3OnTtr3Lhxkmq2sGhoSeXa7/Fd/56YUQeA3xgAAAAAAAAp4q9//ashybBarcaCBQt2O+71eo3x\n48dHyixfvny3MmVlZca2bduMbdu2NdjOBRdcYEgybDab8fnnn+92/KmnnjIkGZKMhx9+OG51pKMO\nHToYkowJEyY0WMbv90deA7fbXW+ZjRs3GllZWZG6AoFAneMej8fYZ599DElGx44djZ07d8aljlT1\n73//23C5XIYko3fv3sbatWtbXEd5eXnkdfj/9u48LKq6/R/4e2AAAWFkURQUUzS0QjTNPUjLBa0k\nt1xKcSVTS80eNbeeNLXUMi1zCXeyXCrtq2Zo4oqaiuCGCm6goAIiOwzw+f3hb84DMsMynGEYfL+u\na65r5HPP/bnPmXNmxrnnnFNQUKA1Zvbs2dJ2+ueffxYb37t3rzT+2WefGSyHsaWlpYk6deoIAMLb\n21tkZ2cXGc/PzxfdunUTAIS1tbWIi4srliM/P19a32lpaQabR44cVdXp06eFvb29ACBq164tLl26\nVO4c6enp0vPw9GuCxg8//CBtk2vXrtVah1KpFADEyJEjDZbDFL3++usCgHBycioxTvMc6HrdVavV\n4vnnnxcARMOGDUVKSkqxmKFDh0rv9xcuXDBIjqoqPDxcmJmZCQBi2rRpWmPmzJkjbYMrVqwoNp6R\nkSE9D7m5uVpz7Ny5U8oxb968YuPXr18Xtra2AoDo1auXwXIQkRBs2BIRERERERFRlZGdnS1atWol\nAAhbW1uxaNEiceXKFREXFyf++usv0alTJ+lLQV1fYLZr106K0SU+Pl7Uq1dPABC1atUSq1evFjdu\n3BBXrlwR//3vf6Uv2Vu3bi1ycnIMlsMUlaVhe/ToUek5+OSTT3TGLVmyRIrr0aOHOHr0qIiLixMH\nDhwo8lxv2LDBoDmqmmPHjkmNaGdnZ3H69GnpS3dtt+TkZK15+vTpIy1/fHy81pjU1FSp4WFtbS2W\nLl0qrl+/Lq5fvy6++eYbYW1tLQAIDw8Prc0QuXJUBVu2bJHWV4cOHURISIiIjY0VR48eFT179pTG\nFi1apPXx169fl2KGDh1qsHnkylHVXLx4UTg6Okqv/wcPHixxu09MTNSaJzAwUFr+8PBwrTG5ubni\nlVdeEQCEUqkUc+fOFVeuXBE3btwQa9asEQ4ODgKAcHFxEXfv3jVYDlNUloZtWlqa9ByU9F6xf/9+\nYW5uLgAILy8v8eeff4rY2Fhx+vRp8e6770o5Jk2aZNAcVdXkyZOl+keMGCFOnTol7t27J/79918x\nduxYaaxt27ZaP2fMnTtXitm3b5/Oefz8/AQAoVAoxOTJk8WFCxfErVu3xJYtW4Srq6sAIOzs7MTl\ny5cNmoPoWceGLRERERERERFVKfHx8aJt27bSl4zabpMnTxb5+flaH1+Whq0QT45ecXd31znHyy+/\nLO7du2fwHKZGzoatEEJMmzZNKBQKrevP3NxcfPXVV6XWJEeOqqRww6ksNzc3N615ytKwFUKI6Oho\n0axZM535PT09xbVr10qsWY4cVcGSJUukH1s8fVMoFGLq1Kk6H1vWhm1F55EzR1VSuLlUlpu5ubnW\nPGVp2AohREJCgmjTpo3O/PXr1xdnzpwpsWY5cpgaORu2QgixYcMGUaNGDZ3rMCAgQOeR0nLmqIry\n8/PFBx98UOJ+8Oqrr4oHDx5ofXxZG7apqanS86rt5uzsrPWsJ3LnIHrWKUFUDSQkJGD37t24dOkS\nEhMT4eLigqZNm+Ltt9+Gm5ubLHNER0dj586diI6ORm5uLtzd3fHWW2+hbdu2lZqjuli+fDmOHDkC\nALC1tcXGjRtlyZuXl4f9+/fj0KFDSEhIgEqlQosWLdC/f384OTlVWg5TdO/ePRw+fBjR0dGIj49H\nSkoKatWqBS8vL/Tu3Rvu7u6yzhcfH4/t27fj8uXLyMjIgKurK7p3744uXbrAzKxsl1iXI4cpEELg\n6NGj2LdvH+7evQtra2t4enpiwIABaNCgQZWap7JqrWoSExNx5MgRREVFIT4+HklJSbCzs0Pz5s3R\ns2dPNGvWTNb5Hj16hB07diAiIgIpKSlwcXGBr68vevbsCUtLy0rLUV0cOXIEy5cvl/69cOFCNG3a\nVJbc586dw+7du3H79m2YmZmhcePG6NevX7m2CTlymDK1Wo1Dhw7h8OHDuHfvHpRKJZ577jn4+Pig\nc+fOslyDKjMzE7t27cLJkyeRmJgIZ2dntG3bFv7+/rC1ta20HET0P3Xr1sWJEyfw888/Y9u2bbh2\n7RrS0tKk66SNGTMGrVq10vn4WrVqlemze8uWLREZGYk1a9bgzz//xJ07d2Bubo4mTZqgf//+CAgI\nkK5Ta8gcpkazblUqlc4YCwsLKa6018FFixbB398fa9euxenTp5GcnAxnZ2d07NgRgYGBaNmyZak1\nyZGjKqlZs2a5/v+pua7w0+zt7aU8Jf0fycPDA+Hh4fjpp5/w+++/48aNGwCeXHvZ398fY8aMgbW1\ndYk1yJGjKvjkk0/QrVs3rFq1CidOnMDDhw/h6OiINm3aYMyYMdK1GrUxNzeX1rednZ3B5pEzR1Vi\nY2NTru1eqdT+1Xbh/UdXDAC4uLggLCwMGzduxPbt2xEdHQ21Wg13d3e8+eabCAwMRK1atUqsQY4c\npkalUsHJyanE50qhUJTpvQIAhg8fjo4dO2LVqlUIDQ3F/fv3YW9vD29vb4wYMQLdu3cvtSY5clRF\nZmZm+PHHHzF06FCsW7cOZ86cQWJiIuzt7eHl5YVBgwahb9++Ov9PVHifKun/+XZ2dggJCcGvv/6K\nn3/+GVFRUcjKykL9+vXRo0cPjBs3Di4uLiXWKkcOomeekRvGRBWSlpYmJk2aJJ324umbmZmZmDhx\nYoXmUKvVYtKkSTp/qfvWW2/pPAWLnDmqk9OnTxd5zlQqlSx5IyMjxYsvvqh1HdesWVMEBQVVSg5T\nc/nyZdG0adNSf7U6duxYkZ6eLsucixcvlq7F9PStXbt2IiYmplJymII7d+4IHx8frcupVCrFf//7\nX53XoqrseSqr1qokMTFReHl56Xx919z69u2r8xev5bV582bpmk5P3zw9PcXZs2crJUd1kZ6eLho1\nalRkHYSFhVU4b0pKihgwYIDObeKDDz4odq0xQ+Qwdbt27SrxqLUGDRqI+/fvV2iOkJAQ6RRdT9/q\n1q0r/vrrr0rJQURERERERETPLoUQQujo5RJVaampqejRowdOnjwJAPD19cWbb74JV1dXZGZm4uLF\ni/j999/RvHlz/PXXX3rPM2rUKKxbtw4A8Nprr+Hdd9+FlZUVQkJC8Msvv0AIgfbt2+PQoUOoUaOG\nwXJUF7m5uWjdujUuXryIGjVqIDs7GyqVCikpKRXKe+PGDbRv3x4PHz5EzZo1MXbsWLRs2RIJCQlY\nu3Ytrl+/DgBYt24dRowYYbAcpujYsWN49dVXAQB16tRB79690aZNGzg4OOD27dvYvHkzLl++DADw\n8fFBSEhIhY6+W7hwIT777DMAT45GCAgIgIODA8LCwrBu3Trk5uaiUaNGOHnyJOrUqWOwHKbg0aNH\n6NixI6KioqBUKhEQEIDOnTsjNTUVmzZtwpkzZwAAM2fOxPz58406T2XVWtXExcVJRw6rVCr4+fmh\nQ4cOcHZ2xv3797Ft2zbpfap58+Y4fvw4HBwc9J5v69atGDp0KIQQ8PDwwNixY1GvXj1ERERgzZo1\nSEtLg6OjI8LCwvD8888bLEd18tFHH2HFihXSexIAhIWFoX379nrnVKvV6N69O0JDQwEAAwYMQM+e\nPaFWq7Fz506EhIQAAAYNGoStW7caLIepW758OT7++GMAgKurKwYPHowXXngBVlZWuH37Ng4ePIjQ\n0FDExMTgueee02uOY8eO4Y033kBOTg7q1KmDcePGoUmTJoiOjsaqVatw//59WFpaIiQkBD4+PgbL\nQURERERERETPOGN2i4kqwt/fXwAQlpaWYvv27VpjCgoKxPXr1/WeY9++fUWOYnnamjVrpPH58+cb\nLEd1MmvWLAFA+Pj4iO7du8t2hG2PHj0EAGFtbS3OnTtXZCwtLU26/pWtra1ISEgwWA5TdPToUdGw\nYUOxYcMGkZOTU2xcrVaL9957T9pOlyxZovdcUVFR0tHVfn5+xeYLCQkRZmZmAnhyfRFD5TAV48eP\nF8CTaw/t3r27yJharRZ9+/aVxku6Lk9lzFNZtVY1sbGxonbt2uK7777TegR6QUGBmD59urT/TJgw\nQe+5EhMThUqlEsCTa+E9fvy4yHhkZKSwtbUVAMRrr71msBzVydGjR4VCoRAqlUr85z//ke0I22+/\n/VbK9e233xYbnzJlijS+Y8cOg+UwZYU/Pw0YMEDnGR5iY2NFZmamXnOo1WrRpEkTATy57l9sbGyR\n8bt374oGDRoIAKJx48YiNzfXIDmIiIiIiIiIiNiwJZP0+++/S1/irVixwmDzdOrUSQAQLi4uOr8M\n7NKli9R01HZaQjlyVBfh4eHCwsJCWFlZiaioKKlBWtGG7b///ittD3PmzNEaExERIcVMnz7dIDlM\nVUpKisjKyioxJj09XTg6OgoAokWLFnrPNXz4cAFAWFhYiLi4OK0xY8aMEcCTU5rfvn3bIDlMwYMH\nD4SFhYUAIIYMGaI1JjExUVhbWwsAon///kabp7JqrYqysrJESkpKiTH5+fmiefPmAoBwcHAQeXl5\nes01d+5c6TXo9OnTWmO+/PJLKebYsWMGyVFdZGZmSqeD//HHH4s0SCvSsM3LyxMuLi4CeHJ6dm1y\nc3NFw4YNBQDRsmVLg+QwZTk5OdJpkFu2bCnUarVB5tm8ebP0nP/8889aY3799VcpZsOGDQbJQURE\nRERERERkVvLxt0RV07JlywAA7u7u+PDDDw0yx71793DixAkAwNChQ2Ftba01bvTo0QCAx48fS6cn\nlDNHdZGXl4cRI0ZArVZjxowZ8PT0lC339u3bpfuadfm0Fi1a4JVXXikWL2cOU6VSqUo9FbetrS06\ndOgAALhy5QqEHmfTV6vV2LVrFwDAz88Pbm5uWuM067+goAC//fab7DlMxR9//AG1Wg1A9zbp5OQE\nf39/AMDevXuRmZlplHkqq9aqqEaNGlCpVCXGmJmZoWvXrgCenDo6ISFBr7k0rzuFX4ueNmrUKCgU\niiLxcueoLmbPno3r16+jY8eOCAwMlC3vkSNHcP/+fQBP1qU2FhYWGDZsGADg/PnziI6Olj2HKfvt\nt99w584dAMC8efOgVCoNMo9m+65Vqxb69++vNaZv375wdHQsEi93DiIiIiIiIiIiNmzJ5MTHx+Pw\n4cMAnly3zczMMJvx0aNHpabUa6+9pjOu8JimLjlzVBeLFi3C+fPn0axZM8yYMUPW3EeOHAEANG7c\nWLqWpDaa9RwTE4O7d+/KnqO60zTk9BUZGSldq7ik/aF169aws7MDUHx/kCOHqdBsk5aWllKzXBvN\nesjMzMS///5rlHkqq1ZTVnj/0ecHD0lJSdK1pEva9l1cXNCsWTMAxbd9OXJUF6dOncKyZctgYWGB\nNWvWSA1qOWj2B0D/9345cpgyzTV5HR0d4efnZ7B5NOu5Y8eOsLCw0BqjVCrRqVOnIvFy5yAiIiIi\nIiIiYsOWTM7Jkyel+506dYIQAv/88w8+/fRTDB06FIGBgVi+fLl0ZIa+Ll26JN1v3ry5zjhXV1fY\n29sDgPRFuJw5qoNLly5h3rx5UCgUWLNmDSwtLWXNr1lnJa1jAFIDovBj5MxRnWVlZUn7nqenp17N\njbLuD+bm5mjSpAkA/fepknKYCs2yNmrUqMQjoCu6TcoxT2XVasr++ecfAE+OwqtXr165H1/WbR/4\n33q+evUqCgoKZM1RHeTk5GDkyJHIz8/Hf/7zH7z44ouy5tesZwsLC3h4eOiMK8s+VZEcpuzUqVMA\ngHbt2sHc3ByxsbFYsmQJRo0ahWHDhmHmzJnSPqWve/fuST8AKuv+kJaWhtjYWFlzEBEREREREREB\ngGHOL0ZkQFeuXJHuq1QqvP766zh06FCxuKlTp2LSpElYuHAhzM3Nyz1P4aMndZ12VcPV1RWpqamI\ni4uTPYepy8/Px8iRI5Gbm4sxY8bg1VdflTV/WloaUlNTAZS+jguPF17PcuSo7r755htpHQ0ePFiv\nHOXZH9zc3BAeHl6hfUpXDlOhWVZDb5NyzFNZtZqq4OBg6XS1AwYMMPh7kmY8KysLSUlJqF27tmw5\nqoMvvvgCly9fRtOmTTFr1izZ82vWc7169Uo8C4hmvKCgQOc+VZEcpio5OVk6HfTzzz+PJUuWYObM\nmcjNzS0St2DBArRu3Rq//PKL9AOd8tBnfwCevHZpzsQhRw4iIiIiIiIiIoANWzJBjx49ku6PHj0a\n0dHRePnllzF06FDUrVsXN2/eRFBQEG7evInFixcjOTkZP/30U7nnSUtLAwAoFAqd157VsLW1BQCk\np6fLnsPULV26FKdPn4aLiwu++uor2fNr1jHwv3WoS+HxwutZjhzV2blz5zB//nwAQP369fHRRx/p\nlUef9ZyZmYmCggKpYSFHDlOhWVZDb5NyzFNZtZqiO3fuYNKkSQAAOzs7zJkzR688FXmd0jRb5chh\n6s6dO4evv/4aALBq1apSr9+tj7LuD5rPBhkZGXrvUyXlMFWFP+ft2bMH0dHRsLOzw4QJE9CqVStk\nZmZiz5492L17N86ePYvOnTvj7NmzpTZMn8bPD0RERERERERUlbBhSyYnKytLuh8dHY2hQ4di06ZN\nRZoxkyZNQo8ePXD8+HEEBQVhyJAh6Nq1a7nm0RzJoVSWvptoTvGbk5Mjew5Tdu3aNcydOxcAsGzZ\nMjg4OMg+R+Ejbkpbz4VPxVx4PcuRo7pKSEjAO++8g+zsbJibmyM4OBg1a9bUK5e+6zk3N1dqqsiR\nw1SU9fWjotukHPNUVq2mJiMjA/7+/khMTATwpEFYv359vXLxta7i1Go1Ro4ciby8PAwfPrzcnwvK\nqrzv/RkZGRX+/KAth6l6+nNe7dq1cfz4cTRt2lT6+9ixY7F69Wp88MEHuH//PiZPnoxt27aVax7u\nU0RERERERERUlZjW4UZEAGxsbKT7KpUKP/74Y7Ej52xtbREUFCRdZ3PNmjV6z6NWq0u9fp/my8Wn\nj66QI4epKigowMiRI5GdnQ0/Pz8MGjTIIPMU3h5K+wK08JfAhdezHDmqo8ePH8PPz0+6HvTKlSvh\n4+Ojdz591rO5uXmRRqscOUyFZlkNvU3KMU9l1WpK1Go1+vXrh/DwcADAjBkzMGTIEL3z8bWu4hYs\nWICIiAg4Oztj6dKlBpunrPsDUPrnh4rkMFWFt1MA+PLLL4s0azUCAwPRpUsXAMDOnTuRnJys9zzc\np4iIiIiIiIjI2HiELVUJsbGxmDx5stYxW1tbbNy4Ufq3SqWS7nfr1g12dnZaH+fp6YkXXngBly5d\nQlhYWLlrKjzP48ePSzw69PHjxwAAe3t72XNUNatWrcKBAwe0jg0cOBADBw6U4o4fPw4bGxusXLnS\nYPUUXl8pKSklxmrW8dOPkyNHVaNWq0u81uz69et17jvAk9MIv/nmmzh//jwAYNGiRRg7dmyFaiq8\nP5R1PT9doxw5TIVKpUJaWprBt0k55qmsWk1Ffn4+hgwZgv379wMAxo0bhwULFlQopz7bPlB0PcuR\nw1RFRUVJz8E333wDJycng82lWc+lreOcnBxkZ2cD0P35oSI5TFXh7RQA3nnnHZ2xffv2xaFDh1BQ\nUIBTp07Bz89Pr3m4TxERERERERGRsbFhS1XC48ePsXPnTq1jT39xV/goC3d39xLzuru749KlS7h/\n/365a/Lw8JDu3759W2eztaCgAHFxcQCAJk2ayJ6jqjlz5ozO5+qll16S7p87dw4A4OjoiKlTp2qN\n1zQDMzMz0b9/fwBAixYtynWNxxo1asDNzQ13797F7du3S4wtPF54PcuRo6rJz8/X+TwBTxrquhqZ\nOTk58Pf3x7FjxwAAs2bNwrRp0ypc09P7wyuvvKIzVrOeS9un9MlhKjw8PBAXF2fwbVKOeSqrVlMg\nhMCoUaOwY8cOAMCwYcPwww8/VDjv09t+STTjzs7ORd5D5chhqi5evIjc3FwolUrs2rULu3btKhYT\nHR0t3f/ss8/g6OgIANi2bVu5roHt4eGB0NBQPHjwAFlZWTqvYa85ewGgfZ+qaA5T5eTkBAcHBzx6\n9Ag2NjZwdnbWGVv4c2B5P+t5eHhAoVBACKH3a5ccOYiIiIiIiIiIADZsqYpwd3fH9u3btY4VvuYX\nAHh7e0v3C187TBvNuJWVVblratGihXQ/PDwcLVu21Bp34cIFqNVqAICXl5fsOaqacePGoWfPnlrH\nXnjhhWJ/i4uLk5rRuqjVaqm5WNoRKtq0aNECd+/eRUREBIQQ0qmwn6ZpIpubmxerVY4cVYmlpaXO\nfQrQfXRPXl4eBg4ciJCQEADAJ598gnnz5slS09P7g6ZJ/7S0tDTExMQAKH2f0ieHqWjRogUOHz6M\nu3fv4sGDB6hTp47WOM02Cei3rHLMU1m1moLx48dLZ4UYOHAg1q1bp/P1pDyaNWsGCwsLqNVq6TTL\numjGn17HcuQwdXl5eSX+mEXj0KFD0v2CgoJyNWwLv06dP38eHTp00BpX2j5V0RymzNvbG6GhodJn\nI10Kfw4s72e9mjVr4rnnnsPNmzdL3R8067lBgwZFfsAgRw4iIiIiIiIiIoANW6oi7O3tdTZenubp\n6QkPDw/ExMQgMjJSZ5wQAhcvXgRQ9KiisvLx8YGtrS0yMjKwd+9ejBgxQmvcvn37pPu9evWSPUdV\n07p1a7Ru3brUuJIauxpffvklzp8/DxsbG6nB4eLiUu6a/Pz8sG/fPqSkpODEiRPo1KlTsZj8/Hyp\nCdm5c+diR5fKkaMqMTMzK/M+pVFQUID33nsPu3fvBgB8+OGHWLJkiWw1NW7cGJ6enrh69Sr27t2L\nL7/8Umvc/v37kZ+fD6D4/iBHDlPh5+eHFStWAHjyGjF8+HCtcZrXj/r16+vVsJFjnsqqtar79NNP\n8eOPPwIA+vTpg+DgYJibm8uSu0aNGujSpQv+/vtvHDhwAGq1GhYWFsXizpw5g4cPHwIovu3LkcNU\ndejQocQfsQDAnj17sGHDBgBPrnerOaNHeZ9DPz8/fPzxxwCAvXv36my2avYHS0tLvPHGG7LnMGW9\ne/eWGrZXrlxB8+bNtcYV/hyoz2c9Pz8/rFy5EufOncP9+/e1fgZ5+PAhzp49C0D7/iBHDiIiIiIi\nIiIiCCITNG/ePAFAKBQKERkZqTVm+/btAoAAIGbPnq3XPAEBAQKAsLCwENeuXSs2np6eLtzd3QUA\n4eXlZbAc1VWPHj0EAKFSqSqUJz4+XlhbWwsAok+fPlpjNm3aJG0PQUFBBslhygoKCsSIESOk5Rs1\napQoKCiQfZ758+dLc4SEhBQbz8/PFx06dBAAhLOzs8jIyDBIDlOQk5Mj3NzcBADh7e0t1Gp1sZgT\nJ05I62LGjBlGm6eyaq3K5s6dKy1fz549RU5OjuxzbNmyRZpj7dq1WmMGDhwoAAhLS0tx584dg+So\nrr799ltp3YSFhVUoV/v27QUA4eLiIlJSUoqN3759W3rPGTBggMFymKrY2FhhZWUlAIgJEyZojcnI\nyJA+P9WtW1fk5eWVe56TJ09Kz/m0adO0xnz22WdSzPHjxw2Sg4iIiIiIiIiIDVsySenp6VJzoEmT\nJuLixYtFxv/55x/h6OgoAAgnJyfx8OHDYjlWr14t+vXrJ/r16ydu3rypdZ5bt25JX4Z6eXmJ27dv\nS2OpqamiT58+0hdwe/bsMViO6qosDdvc3FzpeZozZ47OuBkzZkjr8Ysvvijyxe3hw4dFrVq1BADR\nvHlznV/qypHDVE2cOFFa9vfee0/k5+eXO8fu3bul50pXsyMtLU3Uq1dPABBubm7i/Pnz0lhOTo6Y\nMGGCVMfy5csNlsNUBAUFFWmiZ2VlSWOXLl0Szz33nPQ6l5ycrDXH2LFjRb9+/cTYsWMNOo8cOUzV\nkiVLpGV//fXXiyx7WYWFhUn7z+7du7XG5OfnC29vbwFA2NvbiwMHDhQZW7RokVTHlClTDJajuipr\nw3bOnDnSc5Wbm6s1JjQ0VCgUCgFA9OjRQzx69Egau3v3rmjTpo3UFL9y5YrBcpiy6dOnSz/O++67\n74q8LyUmJorevXtLz9fKlSuLPf7mzZvS87R69Wqd87zzzjsCgFAqlWLz5s1FxoKDg4VSqRQAxNtv\nv23QHERERERERET0bGPDlkzWuXPnhL29vQAgzMzMRNu2bcXbb78tvLy8pC/w7OzsRGhoqNbHBwYG\nSnHh4eE659mxY4cwMzOTvhT19fUV3bt3FyqVSnr8rFmzSqxVjhzVUVkatllZWdI68vX11RmXm5sr\nunXrJsU2aNBA9O7dW7z88svS35ycnERUVJRBc5iiP/74Q1o+c3Nz4e/vL33Jrev24MGDYnkWL14s\n5dm+fbvO+U6dOiVsbGykfbdDhw7Cz89PuLi4SI8fPHhwiUf4ypHDVIwePVpaptq1aws/Pz/RqVMn\n6TXFyspK5+ucEEL6cYubm5tB55Erh6k5f/68tMwAhJ+fX6n7z9M/MhKi6FkhFi9erHO+mJgYUadO\nHSm2VatWonfv3tKRhprXypKO8JUjR3VU1oatr6+vFFdSc37hwoVFPo9069ZNdOnSRTpyVKFQiE2b\nNpVYkxw5TJVarRZ+fn7S8tevX1+8+eabomvXrtLrPwAxZswYrY8PDw+XYgIDA3XOk5ycLJo3by7F\nenp6it69e4tmzZoV+VtSUpJBcxAREZFpio+PFzVr1qwWZ6cZPnz4M/v9FBERUVXAhi2ZtBs3bog+\nffpIRy4Ubjr16dOnxMZaWRu2Qghx/Phx6UiWwrdGjRqJLVu2lKlWOXJUN3I2bIV40nCdM2eOdHS1\n5qZUKkWfPn3K9J8nOXKYms2bNxfbLku7aTsqvawNWyGEuHLlinjjjTekRp7m5uLiIpYsWVKmI3zl\nyGEKCgoKxPfffy81XjU3hUIhfHx8RERERImPL2vDtqLzyJXD1Bw9erTc+8+hQ4eK5Slrw1aIJ0dX\n9u/fX1hYWBTJW6tWLTF9+nSRnZ1dat1y5Khu5G7YCvHkB1tNmzYttg14e3uLf/75p0x1yZHDVKnV\narFw4cIiP8bR3Dw8PMT69et1PrasDVshhHj8+LEIDAws0ggGIKytrcXo0aO1npLaEDmIiIjI9Iwc\nOVIAui/jYEpiYmKEUqkU1tbW1fK7DyIioqpOIYQQIDJxycnJuHz5MpKTk1GrVi14e3tDpVKV+Jjw\n8HDExMQAALp161ZqPADcunUL0dHRUKvVcHd3x4svvljuWuXIUV0cO3YMCQkJsLS0xNtvv601pqCg\nAL/99hsAoHbt2vD19S01b25uLiIiInD//n3Y29vjhRdegLOzc7lqkyOHqbhz5w5Onz5drsf06tUL\nNjY2Rf527do1REZGAgA6dOgANze3UvMkJCTgypUryMjIgKurK7y9vWFubl6uWuTIYQoKCgpw4cIF\nxMXFwdraGp6enmVax3v37kVmZiZsbGzQq1cvg80jdw5TkZSUhEOHDpXrMb6+vqhdu3aRv929exdh\nYWEAgBYtWuD5558vNU9ycjIuXbqElJQUuLi4wNvbG1ZWVuWqRY4c1UV0dDTOnz8PAOjatSscHR21\nxh0+fBgPHz4EAPTt2xdmZmal5o6KisKtW7dgZmYGDw8PeHh4lLs+OXKYqvz8fFy4cAH37t2Dubk5\nGjVqVOo+8vjxY4SEhAAAPDw80KpVq1LnSU9PR2RkJJKSkuDk5AQvLy/Y2dmVq1Y5chAREZFpiIiI\nwMsvvwxLS0vExMTA1dXV2CVV2OjRoxEUFIShQ4diy5Ytxi6HiIjomcKGLREREREREREREVE59O/f\nHzt37sTw4cOxYcMGY5cji4sXL8LLywsKhQJXr15F06ZNjV0SERHRM6P0QwKIiIiIiIiIiIiICABw\n79497Nq1CwDw/vvvG7ka+bz00kto2bIlhBBYtWqVscshIiJ6prBhS0RERERERERERFRGa9euRV5e\nHtzc3NClSxdjlyMrTQN6w4YNyM7ONnI1REREzw42bImIiIiIiIiIiMikrV69GgqFAgqFAosXL9YZ\n980330hxK1eu1GuuX3/9FQDg5+cHMzPdX6++8cYbUCgU8Pf3LzFfmzZtoFAoEBAQUGxswoQJUCgU\naNKkCQDgwYMHmDp1Kpo0aQIbGxs0adIEU6dOxaNHj4o8bv/+/ejRowdcXFxgY2OD1q1bY926daUu\nW69evQAAycnJ+Pvvv0uNJyIiInmwYUtEREREREREREQmLTAwEAMGDAAAzJw5E6dPny4Wc/bsWcyY\nMQMA4O/vjw8//LDc8zx48ABXrlwBALRr164CFZdfTEwM2rVrh6VLlyImJgZZWVmIiYnB0qVL0aVL\nF6SmpgIAPv/8c/Ts2RN///03Hjx4gKysLJw7dw6jRo3CtGnTSpzD09MTDg4OAIDQ0FBDLxIRERH9\nf2zYEhERERERERERkclbu3YtnnvuOajVagwaNAiPHz+WxtLT0zF48GDk5uaiQYMGCAoK0muOI0eO\nSPfbt29f4ZrLKj8/H0OGDIGTkxMOHjyIjIwMJCUlYenSpTAzM0NERAS++OILbNu2DfPmzcP06dMR\nExODnJwcREZGonPnzgCAxYsXIzw8XOc8CoVCWi42bImIiCoPG7ZERERERERERERk8lQqFbZu3Qql\nUombN29i7Nix0ti4ceNw/fp1mJubIzg4GI6OjnrNcfHiRem+h4dHhWsuq1u3biEzMxOHDx9G165d\nYWNjA0dHR0yZMgXjx48HAKxZswYfffQRvv32WyxcuBCNGzeGpaUlvLy88Mcff6BmzZoQQpR6amTN\n6ZcLLysREREZFhu2REREREREREREVC20b98e8+fPBwBs27YNa9euxaZNm7BlyxYAwJw5c/Dqq6/q\nnf/hw4cAAGtra1hbW1e84HJYsGABbG1ti/198ODBAIC0tDTY2dlh4sSJxWKcnJzQvXt3AMCJEydK\nnEfTzFar1UWOUiYiIiLDURq7ACIiIiIiIiIiIiK5/Oc//8HBgwcREhKCjz/+GObm5gAAX19fzJo1\nq0K5NQ1bfY/Q1ZeFhYXUcH1as2bNpPt+fn5QKBQlxt25c6fEuZycnKT7Dx48gEqlKm+5REREVE48\nwpaIiIiIiIiIiIiqDYVCgc2bN8PFxQVZWVlIT0+Hk5MTtmzZAjOzin0dqmmGCiHkKLXMXFxcYGVl\npXWsZs2a0v2GDRvqzKGJy8jIKHGuwsumq/lLRERE8mLDloiIiIiIiIiIiKoVZ2fnIteY7dq1K+rX\nr1/hvLVr1wYAJCcnVzhXeehq1gJFm6pliSsoKChxrsLLplleIiIiMiw2bImIiIiIiIiIiKhamTdv\nXpFrtW7fvh07duyocN46deoAALKzs5GVlVXhfFVRUlISAMDS0pKnQyYiIqokbNgSERERERERERFR\ntXHkyBHMnz8fADBs2DC0bdsWADBmzJhSr99ampdeekm6Hx0dXabHqNXqEsdLO0VxZdMsV+FlJSIi\nIsNiw5aIiIiIiIiIiIiqheTkZAwdOhT5+fnw9PTEypUrsXXrVtjb2yMlJQVDhgxBfn6+3vl9fHyk\nUwufOnWqTI+5efOmzrHMzEzcuHFD73rkJoSQlsvX19fI1RARET072LAlIiIiIiIiIiKiamHkyJGI\ni4uDlZUVfvnlF9ja2qJx48ZYtWoVAOD48eP4/PPP9c7v7OwsHXla1oZtVFQUwsLCtI6tXLkSubm5\netcjt6tXr+LRo0cAgNdee824xRARET1D2LAlIiIiIiIiIiIik/f9999j165dAICvv/4aLVu2lMYG\nDx6MgIAAAMCCBQsQGhqq9zwDBw4EAPz1118oKCgoNV4Igb59+2LTpk2Ii4uDWq1GTEwMZs2ahenT\np0txkZGRRr8u7r59+wAAjo6O6N69u1FrISIiepawYUtERFSN/PDDDxg9ejQOHDhg7FIqZN++fRg9\nejTWrFlj7FKIiIiIiMgEREREYOrUqQCAt956Cx999FGxmO+//x6enp4oKCjAe++9h6SkJL3mGj16\nNCwsLBAXF4dDhw6VGt+pUydYWFhg+PDhaNCgASwtLdGkSRN8+eWXaNy4MT744AMAQHh4OGxsbKTr\n7xrD5s2bAQABAQGoUaOG0eogIiJ61rBhS0REVE1ERUVh0qRJ2LZtG1q1amXsciqkZcuWCA4OxsSJ\nE6vU9ZyIiIiIiKjqyczMxKBBg5CTkwNXV1esX79ea5ytrS1++eUXWFlZ4e7duxg5cqRe89WtWxf+\n/v4AgE2bNpUa7+zsjJMnTyIgIAD16tWDpaUlGjRogPHjx+PkyZNYsGABunTpAmtra3h7e6Njx456\n1VVRly9fRnh4OBQKBQIDA41SAxER0bNKIYQQxi6CiIiIKq53797Yu3cvZs6cadRfZMtl8uTJWLZs\nGfr164cdO3YYuxwiIiIiIiJJZGQkWrVqBUtLS8TExMDV1bVYzBtvvIGDBw+iT58++OOPPyq/yHIa\nM2YMfvrpJwwZMgTBwcHGLoeIiOiZwiNsiYiIqoHDhw9j7969sLa2xieffGLscmQxbdo0KJVK7Ny5\nE6dOnTJ2OURERERERJIWLVpgxIgRyM7OxoIFC4xdToXdvHkTGzduhLW1NRYuXGjscoiIiJ45bNgS\nERFVA8uXLwcA9OnTBw4ODkauRh5169ZFjx49AAArVqwwcjVERERERERFzZ8/HzVr1sRPP/2E2NhY\nY5dTIV988QXUajWmTJkCd3d3Y5dDRET0zGHDloiIyMTdu3cPu3fvBgC8//77Rq5GXprl2bFjBxIT\nE41cDRERERER0f/UrVsXaWlpyM7ORoMGDYxdToWsX78eQohqcXkdIiIiU6Q0dgFERETV0YULF/Dd\nd98BeHLdokGDBmmNS0tLw7Rp05Cbm4uGDRti9uzZ5Z5r48aNyMvLg0qlQvfu3XXG7dmzB7///jts\nbGykI3K12b59O/bv3w9nZ2csWrSoyNjZs2fx448/AgAWL14MBwcHJCYm4tdff0V0dDTs7OzQuXNn\nrXUcPXoUhw8fRkJCAtzc3NC/f380bdq0xGXr06cPatSogezsbGzevBmTJ08uMZ6IiIiIiIiIiIjI\n1LBhS0REZABeXl548OAB/vzzT2zZsgXNmzeHt7d3sbgPP/wQW7Zsgbm5OUJDQ/Wa68CBAwCAtm3b\nQqnU/dYeHh6OoKAgqFSqEhu2p06dQlBQEBo2bFisYXvz5k0EBQUBAD7//HPs2bMHY8aMQXZ2dpG4\n3r1747fffoOlpSVSUlLQv39/HDx4sEjMnDlzsGzZMowfP15nLTVq1ECrVq0QFhaGAwcOsGFLRERE\nRERERERE1Q5PiUxERGQg69evh5ubG3JycvDuu+8iIyOjyPjGjRuxZcsWAMDcuXPRuXPncs+Rm5uL\nsLAwAED79u0rXnQ5/PXXX3j//ffRtm1bfPXVV1i+fDneeustAE+O5p00aRLy8vLQvXt3nDp1CuPG\njcP333+PuXPnon79+sjLy8PEiRNx/PjxEufp0KEDAODYsWPIz883+HIRERERERHJ4cCBAxBC4I8/\n/jB2KURERFTF8QhbIiIiA3FyckJwcDC6du2Kq1evYvz48diwYQMA4Nq1a5gwYQIAwNfXFzNnztRr\njsjISGRlZQEAWrZsKUfZZTZlyhR8/fXX+PTTT6W/TZw4EZMnT8ayZcsQFBQEc3NzxMfHIyIiAo0b\nN5biPvjgA3h5eSExMRFfffWVdA1ebVq1agUASE1NxaVLl9CiRQvDLRQRERERERERERFRJeMRtkRE\nRAbk6+uLWbNmAXhyRG1wcDByc3MxaNAgpKenS01dMzP93pLj4+Ol+87OzrLUXFZt27Yt0qzV+Oyz\nz2BmZobc3Fx8//33WLVqVZFmLQDUrVsXo0ePBgCEhISUeORs7dq1pfuFl5eIiIiIiIiIiIioOmDD\nloiIyMDmzJkDHx8fAMC4ceMwfPhwhIeHA/jfaZP19fDhQ+m+k5NTxQotp1GjRmn9e+3atdGoUSMA\nTxqzvXr10hrXtm1bAEB2djZu3bqlc57Cy1V4eYmIiIiIiIiIiIiqAzZsiYiIDMzc3BzBwcFwcnJC\nWloafvnlFwDARx99JF3zVV/p6enSfVtb2wrlKi9vb2+dY5qjfb28vKBQKLTGFD5yNiUlRWeuwsuV\nlpZWziqJiIiIiIiIiIiIqjY2bImIiCpB/fr1MWPGDOnf7u7u+Prrryuc19HRUbpfUtPTEOzt7XWO\nKZXKMscAgFqt1hlXeLkKLy8RERERERERERFRdcCGLRERUSVITk7GsmXLpH/fuXMHBw4cqHDewkep\nJicnVzhfVZSUlCTdL7y8RERERERERERERNUBG7ZERESVYOTIkYiLi4OVlRWef/55AEBAQADu3btX\nobwNGzaU7ickJFQol0ZeXp4seeRSeLkKLy8RERERERERERFRdcCGLRERkYGtWLECu3btAgAsWbIE\nu3btgo2NDRITE/H++++joKBA79zNmjWTjjo9c+ZMmR6TmpqKrKwsneNxcXF612MIp0+fBgDUq1cP\nHh4eRq6GiIiIiIiIiIiISF5s2BIRERlQREQEPv30UwDA22+/jQkTJqBZs2ZYvnw5AOCff/7BokWL\nKjSHj48PAODUqVNlihdC4MSJE1rH0tLScPDgwQrVI7eTJ08CAHx9fY1cCREREREREREREZH82LAl\nIiIykIyMDAwaNAg5OTlwc3PDunXrpLFRo0bh3XffBQDMnTsXYWFhes/Tq1cvAMC5c+eQkZFRpsdM\nnDgRMTExRf6WmpqK9957DykpKQCeNG+FEHrXJYekpCRcvnwZwP+Wk4iIiIiIiIiIiKg6YcOWiIjI\nQCZOnIioqCiYmZkhODgYTk5ORcZXr16NRo0aIS8vD0OGDMHjx4/1mufdd9+FSqVCdnY2du7cWWp8\njRo1kJiYiBdffBG+vr4YNmwY3nrrLTRo0AC7d+/Gyy+/DABITk5Gz5498c033+hVlxx+/fVX5Ofn\nw8HBAf379zdaHURERERERERERESGwoYtERGRAWzduhXr168HAMyaNUvr6XxVKhW2bt0KpVKJW7du\nYezYsXrNZWtri/fffx8AsGnTplLjrays8Oeff8LFxQVHjhzB5s2b8X//93/IzMzEjBkzEBISAldX\nVwDA33//jdDQUL3qksPmzZsBAAEBAbC2tjZaHURERERERERERESGojR2AURERNWRUqnE2rVroVQq\npWaqNu3atcO+fftw69YtAEBKSgpq1apV7vkmTpyIVatW4dChQ4iJiYGHh0eJ8e3atUNMTAyOHz+O\n2NhY2NnZoUOHDqhTpw4AIDIyEgcOHICjoyNee+016XFt2rTB2rVrAQCOjo4680+fPh0JCQlo1KiR\nzhgPDw8pl7Z6L126hJMnT8LCwgITJkwocXmIiIiIiIiIiIiITJVCGPvidERERCSLCRMm4IcffsCw\nYcOwcePGYuPz58/H7NmzoVKppOvUVmUDBw7E9u3bMWXKFCxdutTY5RAREREREREREREZBE+JTERE\nVE18/vnnUKlUCA4OxtWrV41dToVcuHABO3bsgJOTE2bPnm3scoiIiIiIiIiIiIgMhqdEJiIiqiac\nnZ2xe/duXLt2DZmZmcYup0JycnKwZs0aNG/eXK9TRBMRERERERERERGZCjZsiYiIqhEfHx/4+PgY\nu4wKa9OmDdq0aWPsMoiIiIiIiIiIiIgMjqdEJiIiIiIiIiIiIiIiIiIyEh5hS0RE9Ix48803Ubdu\nXVhZWRm7FCIiIiIiIiIiIiL6/xRCCGHsIoiIiIiIiIiIiIiIiIiInkU8JTIRERERERERERERERER\nkZGwYUtEREREREREREREREREZCRs2BIRERERERERERERERERGQkbtkRERERERERERERERERERsKG\nLRERERERERERERERERGRkbBhS0RERERERERERERERERkJGzYEhEREREREREREREREREZCRu2RERE\nRERERERERERERERGwoYtEREREREREREREREREZGRsGFLRERERERERERERERERGQkbNgSERERERER\nERERERERERkJG7ZEREREREREREREREREREbChi0RERERERERERERERERkZGwYUtERERERERERERE\nREREZCRs2BIRERERERERERERERERGQkbtkRERERERERERERERERERsKGLRERERERERERERERERGR\nkbBhS0RERERERERERERERERkJP8P5rmr6+8/bssAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "_, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 4))\n",
        "sim_base.plot(z=0, ax=ax1)\n",
        "sim_base.plot_eps(z=0, ax=ax2)\n",
        "plt.show()"
      ],
      "id": "0720b513"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Design Region Parameterization\n",
        "\n",
        "Next, we define the functions that allow us to generate our design\n",
        "region using topology optimization.\n",
        "\n",
        "We’ll apply several functions that enable us to filter and project our\n",
        "optimization parameters into a permittivity grid, and then turn this\n",
        "permittivity grid into a structure that can be added to our base\n",
        "simulation as the optimization progresses."
      ],
      "id": "c8934eb5-c40e-4757-bbf0-2298b0e13991"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "from tidy3d.plugins.autograd import make_filter_and_project, rescale\n",
        "\n",
        "# radius of the circular filter (um) and the threshold strength\n",
        "radius = 0.120  # <= larger radius = bigger feature sizes\n",
        "beta = 50  # <= higher beta = more binarized\n",
        "beta_penalty = 10\n",
        "\n",
        "filter_project = make_filter_and_project(radius, dl_design_region)\n",
        "\n",
        "\n",
        "def get_density(params: np.ndarray, beta: float) -> np.ndarray:\n",
        "    \"\"\"Get the material density values (0, 1) array as a function of the parameters (0, 1)\"\"\"\n",
        "    return filter_project(params, beta)\n",
        "\n",
        "\n",
        "def get_eps(params: np.ndarray, beta: float) -> np.ndarray:\n",
        "    \"\"\"Get the permittivity values (1, eps_mat) array as a function of the parameters (0, 1)\"\"\"\n",
        "    processed_params = get_density(params, beta)\n",
        "    eps = rescale(processed_params, 1, eps_mat)\n",
        "    return eps\n",
        "\n",
        "\n",
        "def get_design_region(params, beta) -> td.Structure:\n",
        "    \"\"\"Get the design region evaluated at a set of parameters.\"\"\"\n",
        "\n",
        "    xmin = center_design_x - size_design_x / 2.0\n",
        "    xmax = center_design_x + size_design_x / 2.0\n",
        "    ymin = center_design_y - size_design_y / 2.0\n",
        "    ymax = center_design_y + size_design_y / 2.0\n",
        "\n",
        "    coord_bounds_x = np.linspace(xmin, xmax, nx + 1)\n",
        "    coord_bounds_y = np.linspace(ymin, ymax, ny + 1)\n",
        "\n",
        "    coord_centers_x = 0.5 * (coord_bounds_x[1:] + coord_bounds_x[:-1])\n",
        "    coord_centers_y = 0.5 * (coord_bounds_y[1:] + coord_bounds_y[:-1])\n",
        "\n",
        "    coords = dict(x=coord_centers_x, y=coord_centers_y, z=[0])\n",
        "\n",
        "    eps = get_eps(params, beta=beta).reshape((nx, ny, 1))\n",
        "    permittivity = td.SpatialDataArray(eps, coords=coords)\n",
        "    medium = td.CustomMedium(permittivity=permittivity)\n",
        "    return design_region_static.updated_copy(medium=medium)\n",
        "\n",
        "\n",
        "def get_sim(params, beta) -> td.Simulation:\n",
        "    \"\"\"Get the design region evaluated at a set of parameters.\"\"\"\n",
        "    design_region = get_design_region(params=params, beta=beta)\n",
        "    new_structures = list(sim_base.structures)\n",
        "    new_structures[-1] = design_region\n",
        "    return sim_base.updated_copy(structures=new_structures)"
      ],
      "id": "38678242"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [],
      "source": [
        "# get simulation at a set of starting parameters and try it out\n",
        "np.random.seed(0)  # fix a random seed for reproducibility\n",
        "params0 = np.random.random((nx, ny))\n",
        "sim0 = get_sim(params0, beta=beta)"
      ],
      "id": "d54df2de"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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88sknKCkpqbeNQqHA+PHj8dRTT2HChAlBacNfgexLo9Hg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\nEhIS+h6QqCwXEhJ6o6KH4NQ/lh6U0wM+ikNeX1+Hx+NBvV7H2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653vQsvvPACMpkMR8bq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cr/QZ/X6fe6jKssx9Jx0OB1ZXV5HL5RjokOjP1MdwdHQUdrsdLpcLN910E0ZGRqAoCnw+H59f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+2IRCIMELxeLz/kp/hmcqKFQiFkMhmOM6aH8haLBYFAgKM/yQFID+Lp3KxWK3fE+nw+7q2k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\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Ix+OIxWI4d+4cMpkM3vzmNzMxblRjU9EL2QzX63Wk02mUSiVW9a/P4KX5YLVaeR+JxWKw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\nS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h8iAHZbDodDdld97nOfQ6lUQrFYxPXr1zEej5HNZvHiiy+i2Wyy05Ae4msf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3h6tXryKZTPI9JahP86Pb7TLsJZcpdSefPHmSo789Hs9EBHuj0cDLL7+MTCaD27dv49q1a7yR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EIIIYSsJJ/97GfxyCOPYPPmzfjTP/1T/NM//dOSjLt3714cO3YMAPC//tf/WtQR4Ha78fa3\nvx2f+cxn8Mgjj2B0dBS9vb1LOsZSYTKZ9IHbmSgUCmg0GjCbzfo7eU8gENB7xLVKLpc7rS0Q62f9\nAOtn/ayf9bP+tQzrv7D6Z2ZmUCwWUavVzvp/zXq9jnK5fMHre75QsCXLwcpNQSCXJW63+5w39YQQ\nQgghhBCyEgwNDeHP//zPYTKZcPfddy/pvcsDDzyg399yyy1nXO7WW29d9D1LNcbFpKWlZVHnw+Xw\nsBI4df8bCARO+z3rZ/2sn/WvdVg/62f9gdN+z/ovj/oJuRDosCWEEEIIIYQQctnTaDTwzne+E4VC\nAe9617vw4he/eEnHP3ToEIBTM+K3bt16xuW2bdt22nuWcgxCCCGEEELIhUGHLVkOKNiSi0oul0Op\nVGJDcEIIIYQQQsiq4q677sLPfvYzRKNR/PVf//WSjz8yMgIAiEajsNlsZ1yuo6MDFosF1WpV37OU\nY5yLRCJxxtcWxtudC+k/ZoxENo6z1l0Wi0UCAqyf9Z/6Hetn/WsZ1s/6WX/ytN+z/lO/W+v1E3Ih\nUDUjF40zXawJIYQQQgghZCU5efIkPvjBDwIAPve5zyEYDC75Z2QyGQCA1+s963ImkwkulwvpdFrf\ns5RjnItQKPS8lj8T5XIZ9XpdHQASjSf3hGv9od3C+1/WHwDA+ll/sukr62f9axHWz/pZf1J/Xsv1\n02FLlgMKtuSisPBibbVaV25lCCGEEEIIIcTAb/3WbyGXy+G2227DW97ylmX5jGKxCABndcYK0jtX\n3rOUY1wMyuUyKpWK/myz2ZoezK3Fh3ZGFntYyfpZv8D6k01fWT/rX0uwftbP+pP681qvn4ItWQ4o\n2JJlZ+HF2m63MxKZEEIIIYQQsiq4++678cADD8DlcuGLX/zisn2O0+kEAJRKpXMuKyKrvGcpxzgX\n8Xj8jK8lk0msW7furO9fKNa2tLQ0TdiVh3Nr7aGdcK6Hlayf9QOsn/Unm76yfta/FmD9rP9yrp+Q\npYKqGVlWFrtYZ7PZlVshQgghhBBCyJrn0KFD+Nd//ddFX+vp6cF73/teAMDExAT++I//GADw0Y9+\nFAMDA8u2Tj6fDwCQTqfPulytVkM+n296z1KOcS4uJA56MbF2scm6a/Wh3bkeVgqsn/UDrJ/1J5u+\nsn7WfynD+ln/5Vg/HbZkOaBgS5aNM12sKdgSQgghhBBClpNjx47hb/7mbxZ97eqrr1bB9rHHHkM6\nnYbFYsHExATe//73n7b8U089pd/fdddd+M53vgMA+Mu//MvnlRw0MDCAn/70p5ibm0OxWITD4Vh0\nuampKdRqNX3PUo+xXCwUa61WKxqNxhmXX2sP7Z7rw0qB9bN+gPWz/mTTV9bP+i9FWD/rv5zrJ2Sp\noWBLloXne7EmhBBCCCGEkKVi+/bt+Ou//utFX2tvbz/td9VqFZ///OfPOe5//ud/6vef/OQnn5dg\nu337dv1+//79uO666xZdbt++ffr9tm3blnyM5WAxsdZms50zunmtPLQ73/tf1s/6AdbP+pNNX1k/\n67+UYP2s/3Kunw5bshxQsCVLDsVaQgghhBBCLoxqtbrSq3BJs2HDhkXdsgs5m7Ar7NmzR121v/d7\nv4f+/n4AaOrL+lx4+ctfrt//+Mc/PqPYev/99wM4FSf8spe9bMnHWGrOJNY+Vy71h3YXev/L+lk/\nwPpZf7LpK+tn/ZcCrJ/1X871A2tbsB0aGsIvfvELPProo3j00UcxNTUFALjjjjvwl3/5l0v6Wel0\nGv/2b/+G++67D+Pj47Db7di4cSPuuOMOvO51r7vsxGkKtmRJoVhLCCGEEELIhVOpVCjaXgSei7Dr\ncDhUsL3jjjtw4403ntdnbdu2DVdccQX279+Pu+++G3/0R38Ep9PZtEwikcCXv/xlAMBLX/rS09zA\nSzHGUnKhYq1wqT60W6r7X9bP+gHWz/qTTV9ZP+tfzbB+1r+c9ZOV5eUvfzl+/OMfL/paLBZb0s/a\nu3cv3vCGN2BkZKTp908++SS+9rWv4eUvfzm+/vWvw+fzLennrmZaVnoFyNqhWq1SrCWEEEIIIWSJ\nKJVKyOVyK70a5Dly99134/3vfz/e//73o1wuL7rMJz/5SQDA6Ogofvu3f7tJlC8UCvj1X/91xONx\nAMAnPvGJZRtjKWg0Gksi1gputxuBQEB/TiaTq/r4X+rJyqyf9bP+gP7M+lk/62f9qxXWv/z1G/9/\nuZoRh+1K/VsuCoUC1q9fj7e85S347Gc/i5/+9KfL8jnj4+O4/fbbMTIygkAggC984Qs4cOAAHnnk\nEfze7/0egFOpQb/6q7+KRqOxLOuwGqHD9nmyd+9efPe739Wf//AP/7DponIhzM/P4/7772+yft9y\nyy3P66Z3KcY4H8xmM8rlMhwOBwCKtYQQQgghhCwFl8pMewJ87WtfwwMPPAAA+OhHP7roPdirX/1q\n/MEf/AH+7u/+Dl/+8pfx0EMP4WUvexlqtRp+8IMfaNzYJz7xCdxwww2Lfs5SjHGhtLQ0z/2+ULFW\nuFScJsuVLMX6WT/A+ll/sukr62f9qwnWz/ovRv3lchmNRmPVR+Gu1Ujk+++/vynBp1gsLsvnfPCD\nH8Ts7CysVit2796Nq6++Wl97wQtegM7OTnzoQx/Cj370I3zta1/Dm9/85mVZj9UGBdvnQaFQwB13\n3IGhoSH93Tve8Y4LFmyLxSL+7M/+DF/4whdOm0ESDofx+c9/Hr/2a7+27GNcCD6fD/V6HaVSCXa7\nHdlsFtlsdtFlC4UCyuUyarUa7rvvvmVbJ0IIIYQQQi5FRkZGUCqVUKvVUCqVMDMzA7vdDovl9Nu3\ner1+WiQuWd187nOfw8DAAD760Y/i5MmT+Kd/+id9rbW1FX/1V3+Fd73rXcs+xoVgfEi0VGKtsNof\nWi53GyDWz/oB1s/6k01fWT/rXw2wftZ/Meuv1+urXrBdq1yMe8upqSn8v//3/wAAv/mbv9kk1gof\n+MAH8A//8A8YGxvDnXfeScGWnM6HP/xhDA0NoaWlBfV6fUnGrNVqeNOb3oTvfe97AIBrrrkGN998\nM3K5HL7zne9genoab33rW5FMJvHud7972ca4UCwWi1rTq9XqWfttVatV1Ot1ZLNZjI+PP+fPqFar\np0VuLfbQ6mJyMdeJ9bN+1s/6L8ZnPVdYP+tn/axfYP1Lv07ZbFb/P12r1QAA+XweZrMZZrO5adl6\nvb7i22Stc+ONN+Kv//qvAQADAwNnXO53fud3cNtttwEA7Hb7GZczmUz4wz/8Q/zu7/4uHnzwQYyM\njMBkMmHdunW4+eabYbVaz7lOSzHGUrDUYq2wWh9aLvfDSoH1s36A9bP+ZNNX1s/6VxLWz/ovZv0z\nMzMATt3nlMvlZU8OPV/WqsP2YnDvvfeqvvbWt7510WXMZjPe/OY3484778Tjjz+OsbEx9PT0XMzV\nXBF4Z/8ceeSRR/C5z30OXq8Xr33ta/HlL395Scb9P//n/6jQ+pGPfAQf/ehH9bXPfOYzeNWrXoX/\n+Z//wXvf+17ccsst2Lx587KMcaEYLxLyUOlMNBoN1Ot11Go1FAqF5/U51WoVpVJJfz6T0+BisNi6\nAFjWnH3Wz/pZP+s3fibrZ/0rAetn/ax/+euv1Wp6A2symfR7mfhojKNtNBqnxdOSpeWqq67CVVdd\ndc7l3vSmNz2vcR0Ohwq858tSjHEhLOcDtNX20PJiPawUWD/rB1g/6082fWX9rH8lYP2s/2LXb7PZ\nVDOQ+6zVKtqS8+PnP/85gFMmwOuuu+6My91444248847AQC/+MUvKNiSU5RKJbzzne9EvV7Hpz/9\n6eflCj0b5XIZn/rUpwAA119/PT7ykY80ve71evGVr3wFGzZsQKlUwsc//nF85StfWfIxlgLJlT/b\nTHKhVCrBbDbD4XCgra3teX/Wwj8UHo/nov/RknWQei9mz17Wz/pZf1J/Zv2sn/Wz/osJ62f9F6v+\nmZkZFItF1Go12O12lMtlfVhRr9dhNpv1oYXMPCfkYnKx+oqtloeWF/thpcD6WT/A+ll/sukr62f9\nFxPWz/pXon6r1artYYDVK9rSYXv+HD58GADQ09MDh8NxxuXWr19/2nvWOhRsnwMf/ehHcfjwYbzg\nBS/Au9/9bvzZn/3Zkoz74x//GLFYDADwnve8Z9ETrbu7G6973etwzz334N5770WhUGjKEV+KMZaC\npYqIfi6s9B+tlfpjJbB+1g+wftafbPrK+ln/xYD1s37Wn9SfL3b98nBCHlas1ocWZO0j930Lv56J\nRqOhCUvnO7HAarXC4/EgnU4DAOLxOKrV6kXr3VwoFPSzAcDn88FqtV60iRKsn/WzftbP+lk/wPpZ\n/+VTv0xQrdfr2oKxUqmg0Wg0tf2Q1+Q9F5tUKrViwmkqldLvjfepixEMBpd5bZ4/Envd3t5+1uU6\nOjpOe89ah4LtOdi7dy/uvPNOWCwW3H333UsaN7Z79279/tZbbz3jcrfeeivuuece5HI5PPzww7jl\nlluWdIxLkZV6aLfSD+sE1s/6AdbP+pNNX1k/619OWD/rZ/1J/Xml6j+TaMv+teRiYnxwV6vVkM1m\nz7q8yWRCqVRCJpPB6OjoBX221WpVh3s6nUapVFrWOPaFnwmcSouanJxc1s98LuvC+lk/62f9rJ/1\nX6zPBFg/67+49btcLpjNZtVhRBStVCool8tNQq28lk6n0draetHWEQDWrVt3UT/vTJxrPYzba7Ug\n9xDnmoBgfP1c9x1rBd7dn4VKpYJ3vvOdqFar+MAHPoArrrhiScc/ePAgACASiZw1GnjHjh36/aFD\nh5rE1qUY41LlYj+0Wy0P6wTWz/oB1s/6k01fWT/rXw5YP+tn/Un9eaXrX0y0XY034GTt8+lPf3ql\nV4EQQgghhBByCSKO6HOZI81ms34vEdlrHQq2Z+FTn/oU9u/fj3Xr1p3WG3YpOHnyJACcs1my8XV5\nz1KOcS4SicQZXzM+wFoJLtZDu9X2sE5g/awfYP2sP9n0lfWz/qWE9bN+1p/Un1dL/QtF22q1esn3\nMCKXDj09PThx4gSAU9F4S5lAtZwkk0l1H5w4cQKBQGBlV+gyhfth5eE+WB1wP6wOuB9WHu6D1cGl\nuh/q9bqmv5xLG1kq/H4/4vH4Rfms50Iymbyk/k8uuN1uJJNJFIvFsy5XKBT0e4/Hs9yrtSqgYHsG\n9u/fr7OG//7v/35Z8uEzmQwAwOv1nnU54+vynqUc41yEQqHntfzFZrkf2q3Wh3UC62f9AOtn/cmm\nr6yf9S8FrJ/1s/6k/rza6l8o2lKwJRcLi8WCgYGBlV6NCyIQCKzKXl6XG9wPKw/3weqA+2F1wP2w\n8nAfrA4utf1wsWOQW1paVtX2WU3r8nwIhUKYmJjA/Pz8WZebm5tres/lwKUlvV8kqtUq3vnOd6JS\nqeBtb3sbXv7yly/L58gMAXngciaMmfHGWQVLNcZawO12N83+SSaTyOVyFzzuan9YJ7B+1s/6A/oz\n62f9rJ/1Xyisn/VfCvXbbDZYrdaVXg1CCCGEEEIIIeQ5s3nzZgDAyMiIxiMvxsjIyGnvWetQsF2E\nz3zmM9i7dy9CoRD+9m//dtk+R1y75XL5rMuVSqXT3rOUY5yLeDx+xn8Sh7UaWOqHdpfKwzqB9bN+\n1h/Qn1k/62f9rP98Yf2s/1Kq32azwWJhaBIhhBBCCCGEkEuDnTt3AgDy+TwOHjx4xuV+8YtfnPae\ntc5lc3f/6KOP4vvf//6ir23ZsgV33HEHAODw4cP4+Mc/DgC48847EYlElm2dvF4vZmZmzhlRbHx9\nYfTxUoxxLi4la/1SxeNdag/rBNbP+gHWz/qTTV9ZP+t/PrB+1s/6k/rzpVK/1Wo95+RNQgghhBBC\nCCFkNfCa17wGH/rQhwAA3/72t3HFFVcsuty3vvUtAEB/fz927Nhx0dZvJbmsBNuPfexji7722te+\nVgXbBx54AKVSCR6PByMjI/joRz962vIPPfSQfv+5z30OgUAALpcLf/Inf/K81qm/vx9DQ0MYGxs7\n63LG1/v7+5d8jLXGhT60u1Qf1gmsn/UDrJ/1J5u+sn7W/1xg/ayf9Sf150ut/kajsdKrQAghhBBC\nCCGEnJPt27fjhS98IR5++GF84QtfwO/93u8hHA43LfO9730PTzzxBADgt3/7t1diNVeEy0awve66\n6/CRj3xk0de2bNly2u+y2ewZBV4jn//85wGcanD9fAXb7du3Y/fu3Zibm8PMzAza2toWXW7//v36\n/bZt25Z8jLXI+T60u9Qf1gmsn/UDrJ/1J5u+sn7WfzZYP+tn/Un9+VKtnxBCCCGEEEIIWWluueUW\nHD9+HD6fr0mXMnLnnXfixS9+MWKxGG677Tb827/9G7Zv345Go4FvfetbeNe73gUAGBgYwHvf+96L\nuforymUl2F533XXPabkzCbvC7t27sWfPHgDAe9/7XnXYPl9uvfVWfO5zn9Mx3/rWty663AMPPADg\n1MOmF77whUs+xlrl+T60W2sP61g/6wdYP+tPNn1l/ax/MVg/62f9Sf35Uq+fEEIIIYQQQgg5X+65\n5x584AMf0J+NaU733HMPdu/erT+73W4cOnTotDEmJiYwMjICv99/xs+54YYbcPfdd+O3f/u3sXfv\nXuzYsQPhcBj5fB75fB4A0N7eju9///vnpb1dqlw2gu1z5bkIu8ViUQXbP/zDPzzviOFbb70V4XAY\nsVgMd911F37t134NJpOpaZnx8XF85zvfAXAqutnpdC75GGuZ5/rQbq0+rGP9rB9g/aw/2fSV9bN+\nI6yf9bP+pP68VuonhJxOMBhkdPgqgPth5eE+WB1wP6wOuB9WHu6D1QH3AzGSyWQwMjKy6GvZbBbZ\nbFZ/vtD759/8zd/EFVdcgU9+8pP44Q9/iFgsBgCIRqN485vfjI985CNobW29oM+41KBgu4x84Qtf\nQCwWg8PhwAc/+MHTXrfb7fjQhz6E973vffj5z3+Oj33sY009c7PZLN72trehVCrBbDbjL/7iL5Zl\njLXOuR7arfWHdayf9QOsn/Unm76yftYPsH7Wz/rXcv2EEEIIIYQQQsjz5Y477sCtt976nJZtaWlZ\n9PcPPPAAKpXKGV83cvXVV+Pb3/42Go0G5ubmYLfbz+rMXetQsF1GvvCFL+DIkSPw+/2LCrYA8Pu/\n//vYvXs37rvvPnzsYx/Dfffdh5e85CXI5XL49re/jenpaQCneuVu3rx52cZY65zpod3C79fqwzrW\nz/oB1s/6k01fF37P+lk/62f9a43LvX5CCCGEEEIIIeT54PF44PF4LmiMrq6u5/0ek8mEaDR6QZ+7\nFqBgu8KYzWZ84xvfwJ/+6Z/irrvuwuOPP47HH39cXw+Hw/jc5z53xt60SzXG5cDZHtoBa/9hHetn\n/QDrZ/3Jpq8C62f9rJ/1r1Uu9/oJIYQQQgghhBByaUDB9jy49dZb4XA4AJx6yHMm3vOe92gk8tlw\nOBz47Gc/iw9/+MO4//77MTY2Brvdjk2bNuGWW26BzWY75zotxRiXAwsf2gmXy8M61s/6AdbP+pNN\nv2f9rJ/1s/61zuVePyGEEEIIIYQQQlY/FGzPg1tvvfU55Xi/5z3veV7jtra24i1vecv5rtaSjUEI\nIYQQQgghhBBCCCGEEEIIuTicu+svIWuIXC53mrsCOOW4yOVyF3+FLjKsn/Wz/uRpv2f9rJ/1s/61\nDuu/vOsnhBBCCCGEEELI6oeCLblsWPiwLhAINEVar/WHdqyf9bP+pP7M+lk/6w/oz6yf9bP+tVs/\nIYQQQgghhBBCLg0YiUwuiHq9ftafF6PRaKDRaKBer6NcLi/XqjVRKBSQTqf1Z5/PB6vVCgDweDz6\nWjweR7VahdPpvCjrdbFg/ayf9bN+gfWzftbP+gHWv9rrr9frTf9nPhuNRqPpfYQQQgghhBBCCLn0\nMDWMd/iEPE+Gh4exbt06/Nmf/RksFguey+FkMplQr9dRq9WQz+eXfR2tVivsdrv+XCqVUKlUnvcy\nlyqsn/WzftYvsH7Wz/pZ//Nd5lLlUq/f5XLBbDajpaXlOf//+uMf/zhOnDiBgYGBi7CGhKwM9Xod\nhUIBbrd72T6jUCjAYrHoBI+VGmM1k8lkUCqVAAA2mw0+n29Jx280GsjlcvB4PCs6xmqkXC6jXC5f\nlLpkHxv/Vq7EGKuBTCYDj8cDk8m06j/nYq3rxaRaraJQKFyUuiqVygVP5FuKMVYzhUJBE2paWloQ\nCoWW/DP+//buO7yp6v8D+Dtt2tKWEjqg7FWmWMre3yIoowxBlggoe8kQEBmCoDIVUL6gCEWQKSig\ngjILsoQCIoUyhZZZoEAp3StNzu+P/nK/LU3SNrlpkvJ+PU+e55J78jnnnntuGvLJuScpKQlubm5w\ncDD95qByxLBlSUlJcHd3t9g1odFokJ6eDjc3N6vGIHrpCCIz3Lp1SwDggw8++OCDDz744IMPPqz8\nuHXrlrX/e0Akuzt37ojJkyeLGjVqCKVSKQAIlUolWrZsKb7++msRHR1tdh0RERFi6NCholSpUgKA\nUCgUolKlSuLDDz8UMTExhRbDHjx58kT4+PhI7zuvv/66bLE3bNggWrZsKZydnQUAUaxYMfHaa6+J\n7du3F2oMW/H8+XPxyy+/iAkTJoiGDRsKHx8foVAopONq3bq1WLlypUhLS5OtzocPH4px48aJcuXK\nSee4bNmy4v333xdRUVGFFsMW/PLLL6Jdu3aiWLFiAoBwdnYWzZs3F+vWrRNardam6imsthaGpKQk\n8ccff4gpU6aIZs2aidKlS0vj3tnZWTRt2lQsWbJEJCYmylZnbGys+Oijj0SVKlWkunx8fMSQIUPE\njRs3Ci2GPVCr1aJhw4bSte3t7S1b7JCQENGlSxfh5uYmAAilUikaNGggli9fLjIzMwsthq1KSUkR\nS5cuFc2bNxeurq7S34I6deqIqVOnivDwcLPrSEpKEp9++qmoWbOmcHBwEABEyZIlRb9+/URYWFih\nxSB6mXGGLZklMzMT9+/fB5B1mzl7/tVSXFwcqlWrBgC4detWjvXNyHbwPNkPniv7wPNkP3iu7APP\nk/0oKudKq9VKt3euWLEilEquekNFR3BwMCZNmiTdmUmhUMDDwwPJycnQaDQAgGnTpmHRokUm17Fn\nzx68/fbb0mwhFxcXaDQaZGZmAgDKli2LgwcP4tVXX7VoDHvRt29fbN++Xfr366+/jkOHDpkVMzMz\nE3369MFvv/0mPefu7p5jjfGhQ4fi+++/NziTSI4YtmbRokWYMWNGjud0d4dISkqSnnv11VexZ88e\nVKpUyaz6QkND0bVrV8TGxkp1KRQKaSkrT09P7N69G61bt7ZoDFswcuRIrFmzRvr3i2PpzTffxI4d\nO8yeRS9HPYXV1sKyfv16DBkyJMdzjo6OcHNzQ2JiovRctWrVsHv3btStW9es+q5evYr27dvj4cOH\nAAClUglHR0dpdribmxu2bduGbt26WTSGvViwYAFmzpwp/dvb2xsxMTFmx501axbmz58v/fvFcdy6\ndWvs37/f6B025Ihhq86dO4c+ffrgzp070nPFixeHWq2WxllAQAAuXLhgch1RUVFo27YtIiIiAGTN\nnnZxcUFqaiqArPfz4OBgDB482KIxiF561s4YE9mK2NhY6RdisbGx1m4OGcDzZD94ruwDz5P94Lmy\nDzxP9oPnisi2ffvtt9I12rJlS3Hw4EGRnp4uhBAiIyNDnD17VkyePFl8/fXXJtdx/fp14e7uLgCI\natWqiWPHjgmtVivUarXYtm2bKFmypAAgKlWqJOLj4y0Ww17s3LlTOhYPDw/ZZth+8MEH0rkeO3as\nePLkiRBCiPv374uBAwdK++bNm2fRGLZm4cKFAoCoWbOm+Oqrr8SNGzek2ZJ37twRY8aMkY7rlVde\nka4PUzx69EiaOV2mTBnxxx9/CI1GIzQajdizZ48oW7asNJvuwYMHFothC3T9DkD0799f3L9/XwiR\nNbt8/Pjx0r5x48ZZvZ7Camth+uGHHwQAUbFiRTF//nxx6dIlodFohBBZs7enT58uzdorV66ciIuL\nM7muxMREUaVKFenODVu3bhVqtVpotVpx7Ngx4efnJwAINzc3ceXKFYvFsBdXr14VLi4uwsXFRTou\nOWbY6s45ANG5c2dx8+ZNIYQQcXFxYvbs2dKM5d69e1s0hq06f/68UKlU0phfu3Ztjv+7REREiCVL\nloj33nvP5DrUarWoX7++NGt31apV0t0bzp07Jxo0aCDNWD5x4oTFYhCREEzYEv0/fmlnH3ie7AfP\nlX3gebIfPFf2gefJfvBcEdmuK1euSLe0feuttyx2G8MePXpIX6RHRkbm2h8SEiK9T3zyyScWi2EP\nnj17Jnx9fQUA8fvvvwtvb29ZErbXr18Xjo6OAoAYOHCg3jKdOnWS+vjhw4cWiWGLNmzYINavX2/0\nlrZTpkyRxldwcLDJdY0ePVoAEI6OjuLcuXO59p8/f166JfmIESMsFsPaoqOjpR9gvPHGG3rLDBo0\nSDpOUxNwctRTWG0tbLt27RIrVqwQarXaYJklS5ZI4/7zzz83ua5PP/1UirN///5c+2/fvi2KFy8u\nAIhu3bpZLIY90Gg0olmzZgKAmDt3rnj99ddlSdgmJSWJMmXKCACiQYMGes/7tGnTpD4+evSoRWLY\nqvT0dPHKK68IAKJKlSoW+7HLqlWrpP5Zv359rv0xMTHSZ4AmTZpYLAYRMWFLJOGXdvaB58l+8FzZ\nB54n+8FzZR94nuwHzxWR7erWrZv0RbClrs+HDx9KM26MzT4LDAwUAETp0qWlWV5yxrAXAwYMyDE7\nSa6E7YcffiiArDV/Da3DffbsWen9etGiRRaJYa9iY2OlZHWvXr1MipGcnCyth2hs9lnfvn2lmVMv\nrh8qRwxbsHjxYmmcnD59Wm+ZO3fuSDM8J06caLV6CquttigjI0OUKFFCABCtWrUyKYZWq5Vmfbdu\n3dpguQkTJkjvL7oZzHLGsBe68aabzS9XwnbTpk3SOP7tt9/0lomLi5PWpO3Xr59FYtiq7HcbOXjw\noMXqCQgIEABEjRo1DP5IaMGCBVJb9P0oR44YRCSE/S44SkRERERERERFSlRUFPbu3QsAGDJkCDw9\nPS1Sz+7duyGEAAD06tXLYLnevXsDAJ48eYLTp0/LHsMe/PHHH9iyZQtUKhWWL18ua+xdu3YBABo2\nbIiqVavqLdOkSRNpfVZdeblj2CtPT0/pGnn06JFJMUJCQqT1BfMzjtPS0nDw4EHZY9gC3dgoX748\nmjVrprdM5cqV0bhx4xzlrVFPYbXVFjk5OUnXs6nj/uzZs9Jr8zNmhRDYvXu37DHswc2bNzF79mwo\nFAoEBwfD2dlZtti6cenq6oqgoCC9ZVQqFd544w0AWWvG69aHlzOGrVq9ejUAoG7dumjfvr1F6rh7\n9y4uXrwIAOjZs6fBdd514xjI/X4iRwwiysKELRERERERERHZhEOHDkGj0QAAunbtKj0vhEBCQoKU\nIDXX+fPnpe0mTZoYLJc9EZL9NXLFsHXx8fEYPXo0AGDRokUoW7asbLETExMREREBAGjatKnRsro+\nvHDhArRarawx7FlycjJiY2MBACVLljQpRvYxaawP83stmBrD2oQQuHDhAoD8j6Xbt28jLi6u0Osp\nrLbaKq1WiwcPHgCw/Lhv0qQJHBwccr1Grhi2TgiBYcOGITU1FSNHjkSrVq1kja/rj/r16xtNBOvG\ncfb3fDlj2KLo6GiEh4cDALp165ZjX1JSkmxJ5/yO4xo1akg/EDL1WjAWg4iyMGFLRERERERERDbh\n77//lrYbNWqEgwcPon379ihWrBhUKhWcnZ3RrFkzfPvtt8jIyDC5nn///RcA4OvrC3d3d4PlqlSp\nIm1fv35d9hi2bvLkyXjw4AFatmyJUaNGyRpb138AUK1aNaNldX2YmpqKe/fuyRrDnm3dulVKPrdu\n3dqkGLo+dHR0lGYt6lOhQgUolUoAhq8Fc2JY24MHD5CUlAQg/2MJKPhxyFFPYbXVVu3duxfPnz8H\nYP64B4z3YbFixeDr6wvA8Lg3J4at++abb3DixAmUKVMGX3zxhayx09PTcefOHQCmj2M5Ytiq7J+H\nGjdujFu3bmHw4MHw9PSEh4cHnJ2dUb16dUyZMgWPHz82uR5T/o6aei0Yi0FEWZiwJSIiIiIiIiKb\nEBUVBQDw8vLCkiVL0LFjRxw6dAharRbFixdHZmYmzp49i3HjxiEwMBDPnj0zqR7d60qVKmW0XPb9\nupmMcsawZQcPHsS6devg5OSE4OBgg7c4NFX2c2dqH8oRw149f/4cn3zyCQCgePHiGDZsmElxdH3o\n6ekpJVP1cXBwgJeXFwDD14I5MaytsMYSx7150tLSMGXKFACAUqnE2LFjTYqTvQ99fHyMltX1oaFx\nb04MW3b79m3MmDEDALB8+XKoVCpZ48fFxUk/ODF1HMsRw1bpPg8BWbel9vf3x4YNGxAfHw8PDw8A\nQGRkJJYuXQp/f3+Tl1ww5f3E2LVgagwiysKELdH/8/T0hBACQgiLrZNE5uN5sh88V/aB58l+8FzZ\nB54n+8FzRWSbdLfsjI+Px2effYZy5crh119/RUpKChITE3H79m0MHDgQAHDmzBn079/fpHqSk5MB\nZM18MkahUMDFxQUApBltcsawVYmJiRg5ciQAYOrUqahbt67sdej6D8i7D11dXaXt7H0oRwx7pNVq\nMWDAAERHRwMAFixYgNKlS5sUK7/jGPhfH5p6LRiLYW2FNZY47s0zevRoaTbf1KlTUbNmTZPi6PpQ\nqVQa/ZEBkPe4NyeGrRJCYMSIEUhOTkbXrl3Rp08f2evgtWBc9luYz5o1CxkZGVi0aBFiY2ORkJCA\n58+fY+nSpXBycsLTp0/RvXt3k2bamtKHhq4Fc2IQURYmbImIiIiIiIjIpmg0Gri4uCAkJAQ9evSA\nk5MTgKxb6W3atAm9e/cGkDUL9M8//yxwfN1s0fysiasro1uDUM4Ytmrq1Km4e/cuatSogVmzZlmk\njuwzdvPqw+z7s/ehHDHs0Ycffoh9+/YBAHr27Inx48ebHIvXQpbCGksc96ZbtGgRNmzYAAAIDAzE\nZ599ZnIsjnvjgoODcfjwYbi7u+Pbb7+1SB28FvJPo9Fg2bJlmDZtmrRus0qlwuTJk/Hdd98BAJ48\neYKlS5cWOLYpfWjoWjAnBhFl4ZVBRERERERERBaTnp6OmJgYvY/4+PgcZYsXLy5t9+rVC6+88ore\nmLpbwQLAr7/+WuA26epJTU01Wk6j0Uhr5WZvm1wxClNcXJzB86BWq6VyR48exerVqwEAq1atytes\nSVNk74u8+jD7/uyvkyNGYVKr1QbPQfbZVMbMnz8fy5YtA5CVtNqyZYtZbcrvOM5extRrwVgMayus\nsfQyjns5fP/999LteevVq4ddu3blOavVGF1faDSaHO9/+uQ17s2JYYvu37+PqVOnAgDmzp1rdF1q\nc/BaMC57G0uXLm1wHfkhQ4agQoUKAMz7PATkvw8NXQvmxCCiLEzYEhEREREREZHFbN++HaVKlSzK\ntesAADoKSURBVNL76N69e46yvr6+0narVq0MxqxXr560htvVq1cL3Cbd7WN1t5Q1JPv+F9dlkyNG\nYXrttdcMnocDBw5I5WbOnAkhBHr27Il69erpTS7qZshkT0CmpKQUqD3Zb+GbVx8+evRI2s7eh3LE\nKEzHjh0zeA6aN2+e5+u/+eYbacZzkyZN8Mcff5idUNf14fPnz5Genm6wnFqtNrhusxwxrK2wxtLL\nOO7N9dNPP0nJqpo1ayIkJESaZWgqU/rQ0Lg3J4YtWrRoERISElCnTh3079/f6I98hBDScwkJCQWq\nJ/ua16aOYzli2Krsn4eaNWtm8AcKDg4O0t+PiIiIPH888CJeC0S2hQlbIiIiIiIiIrKYYsWKwdvb\nW+9DpVLlKJt9Ru2L+15UokQJAFnrrRZU7dq1AQCxsbF4/vy5wXK3bt2StuvUqSN7jMLk6elp8Dw4\nOztL5XRr0f3yyy8Gk4uxsbEAgOPHj0vPff755wVqT82aNaVbIkZERBgtq+vDEiVKoHz58rLGKEzO\nzs4Gz0Fe66mvW7cOEyZMAJD1g4X9+/dLP1owh24cCyFyjNUX3blzB1qtFoDha8GcGNbm6+srnYP8\njiWFQiEde2HWU1httQW7d+/GwIEDodVqUbVqVRw+fNjk9Zqzy94XxvowISEBMTExAAyPe3Ni2CLd\n34Br166hTJkyev8GHD9+HEDW3z/dc3379i1QPUqlEtWrVweQ/3EM5OxDOWLYqoJ8Hsq+v6CfifI7\njrVaLe7cuQPA9GvBWAwiysKELRERERERERFZTO/evQ3eBnbXrl05ymafZfj06VODMTUajZQ09PLy\nKnCbmjVrJm2HhoYaLHfy5Em9r5ErRmE6cuSIwfPQoUMHqZyxxK7uoVuvzsnJSXrO3d29QO1xdXWF\nv78/AOP9J4SQ9jdt2lT2GIUpMDDQ4Dkw1v5t27ZhxIgREEKgTp06OHTokEnjXp+X8VowRDc2zpw5\nIyWW9dEdR926dQs87uWqp7Daak0hISHo27cvMjMzUaFCBRw+fFi69au58jtmT506pfc1csWwRR4e\nHnn+DdCtK69QKAz+ACs/dP0RHh4uJYr10Y3jUqVKoWrVqrLHsEW1a9eWZpIb+zyUfb+Dg0OBz0OT\nJk2kHz4ZG8fh4eFISkoCkHscyxGDiLIwYUtERERERERENqFly5YoU6YMAODw4cMGy4WGhkrroDVp\n0qTA9XTt2lX6wvnHH380WG7btm0AgKpVqyIgIED2GLbIWGJX99AlC7MnILOvK5xfb731FoCsmVwX\nLlzQW+bQoUPSl9E9evSwSAxbtmvXLrz77rvQarWoXr06Dh8+LOutJNu0aSPN1jQ2jrdu3QogayZX\n27ZtZY9hC3Rj6dmzZzh48KDeMpcuXcKVK1cAmD6W5KinsNpqLSdOnECPHj2Qnp6OMmXK4M8//5Q1\nyfbqq69KMzN141If3T6lUomuXbvKHsMWrVixIs+/AYGBgQCyfjCle+6nn34qcF26cZyZmYnt27fr\nLfPo0SMcO3YMANC9e3fpB0NyxrBFSqUS3bp1A5D1mcfQsgPp6elSMrphw4ZwdHQsUD2lS5dGy5Yt\nAWQtYWHolsrZx/iL7ydyxCCi/yeIiIiIiIiIiGzEF198IQAIBwcHcfjw4Vz709PTRevWraUy165d\ny1UmLi5OPH36VDx9+tRgPSNGjBAAhKOjozh9+nSu/evWrRMABACxfPlyi8WwR97e3gKAeP311w2W\nUavV0jlITk7WW+bhw4fCzc1NipWZmZljf1pammjYsKEAIHx8fER8fLxFYtiqAwcOCBcXFwFAVKlS\nRdy7d6/AMRISEqTzoNVq9Zb55JNPpHH6+++/59q/d+9eaf/HH39ssRjWlpiYKEqXLi0AiICAAJGW\nlpZjv0ajEe3btxcAhKurq4iKisoVQ6PRSP2dmJhosXrkiGGrzp49K0qUKCEAiFKlSokrV64UOEZS\nUpJ0Hl58T9D59ttvpTG5Zs0ave1QKpUCgBg6dKjFYtij119/XQAQ3t7eRsvpzoGh9121Wi1q1qwp\nAIjKlSuLuLi4XGUGDBgg/b2/dOmSRWLYqrCwMOHg4CAAiGnTpuktM3v2bGkMrlixItf+5ORk6Txk\nZGTojbFz504pxty5c3Ptv3nzpnB3dxcAROfOnS0Wg4iEYMKWiIiIiIiIiGxGWlqaaNCggQAg3N3d\nxaJFi8S1a9dEVFSU2L9/v2jVqpX0paChLzCbNWsmlTHk0aNHomzZsgKAKFmypFi9erW4deuWuHbt\nmvjss8+kL9kbNWok0tPTLRbDHuUnYXvixAnpHHz44YcGyy1ZskQq17FjR3HixAkRFRUlDh06lONc\nr1+/3qIxbM1ff/0lJaJ9fHzE2bNnpS/d9T1iY2P1xunevbt0/I8ePdJbJiEhQUp4uLq6iqVLl4qb\nN2+Kmzdviq+++kq4uroKAMLPz09vMkSuGLZg8+bNUn+1aNFChISEiPv374sTJ06ITp06SfsWLVqk\n9/U3b96UygwYMMBi9cgVw9ZcvnxZeHl5Se//hw8fNjruY2Ji9MYZNWqUdPxhYWF6y2RkZIgmTZoI\nAEKpVIo5c+aIa9euiVu3bong4GDh6ekpAAhfX1/x4MEDi8WwR/lJ2CYmJkrnwNjfigMHDghHR0cB\nQPj7+4vff/9d3L9/X5w9e1a8/fbbUoyJEydaNIatmjRpktT+IUOGiDNnzoiHDx+Kv//+W4wcOVLa\n17RpU72fM+bMmSOV2bdvn8F6goKCBAChUCjEpEmTxKVLl8SdO3fE5s2bRbly5QQA4eHhIa5evWrR\nGEQvOyZsiYiIiIiIiMimPHr0SDRt2lT6klHfY9KkSUKj0eh9fX4StkJkzV6pVKmSwToaNmwoHj58\naPEY9kbOhK0QQkybNk0oFAq9/efo6Ci++OKLPNskRwxbkj3hlJ9H+fLl9cbJT8JWCCEiIiJE7dq1\nDcavVauWuHHjhtE2yxHDFixZskT6scWLD4VCIaZMmWLwtflN2Jpbj5wxbEn25FJ+Ho6Ojnrj5Cdh\nK4QQ0dHRonHjxgbjV6hQQZw7d85om+WIYW/kTNgKIcT69etFsWLFDPbh4MGDDc6UljOGLdJoNGL0\n6NFGr4P//Oc/4smTJ3pfn9+EbUJCgnRe9T18fHz03vVE7hhELzsliIqA6Oho7N69G1euXEFMTAx8\nfX1Ro0YNvPnmmyhfvrwsdURERGDnzp2IiIhARkYGKlWqhG7duqFp06aFGqOoWL58OY4fPw4AcHd3\nx4YNG2SJm5mZiQMHDuDIkSOIjo6GSqVCvXr10Lt3b3h7exdaDHv08OFDHDt2DBEREXj06BHi4uJQ\nsmRJ+Pv7o0uXLqhUqZKs9T169Ajbt2/H1atXkZycjHLlyqFDhw5o27YtHBzyt8S6HDHsgRACJ06c\nwL59+/DgwQO4urqiVq1a6NOnDypWrGhT9RRWW21NTEwMjh8/juvXr+PRo0d49uwZPDw8UKdOHXTq\n1Am1a9eWtb7nz59jx44duHjxIuLi4uDr64s2bdqgU6dOcHZ2LrQYRcXx48exfPly6d8LFy5EjRo1\nZIl9/vx57N69G3fv3oWDgwOqVauGXr16FWhMyBHDnqnVahw5cgTHjh3Dw4cPoVQqUaVKFQQGBqJ1\n69ayrEGVkpKCXbt24fTp04iJiYGPjw+aNm2KHj16wN3dvdBiENH/lClTBqdOncKPP/6In3/+GTdu\n3EBiYqK0TtqIESPQoEEDg68vWbJkvj67169fH+Hh4QgODsbvv/+Oe/fuwdHREdWrV0fv3r0xePBg\naZ1aS8awN7q+ValUBss4OTlJ5fJ6H1y0aBF69OiBNWvW4OzZs4iNjYWPjw9atmyJUaNGoX79+nm2\nSY4YtqR48eIF+v+nbl3hF5UoUUKKY+z/SH5+fggLC8P333+PX3/9Fbdu3QKQtfZyjx49MGLECLi6\nuhptgxwxbMGHH36I9u3bY9WqVTh16hSePn0KLy8vNG7cGCNGjJDWatTH0dFR6m8PDw+L1SNnDFvi\n5uZWoHGvVOr/ajv79WOoDAD4+voiNDQUGzZswPbt2xEREQG1Wo1KlSqha9euGDVqFEqWLGm0DXLE\nsDcqlQre3t5Gz5VCocjX3woAGDRoEFq2bIlVq1bh6NGjePz4MUqUKIGAgAAMGTIEHTp0yLNNcsSw\nRQ4ODvjuu+8wYMAArFu3DufOnUNMTAxKlCgBf39/9OvXDz179jT4f6Ls15Sx/+d7eHggJCQEP/30\nE3788Udcv34dqampqFChAjp27IgxY8bA19fXaFvliEH00rNywpjILImJiWLixInSbS9efDg4OIjx\n48ebVYdarRYTJ040+Evdbt26GbwFi5wxipKzZ8/mOGcqlUqWuOHh4aJu3bp6+7h48eJi7dq1hRLD\n3ly9elXUqFEjz1+tjhw5UiQlJclS5+LFi6W1mF58NGvWTERGRhZKDHtw7949ERgYqPc4lUql+Oyz\nzwyuRVXY9RRWW21JTEyM8Pf3N/j+rnv07NnT4C9eC2rTpk3Smk4vPmrVqiX++eefQolRVCQlJYmq\nVavm6IPQ0FCz48bFxYk+ffoYHBOjR4/OtdaYJWLYu127dhmdtVaxYkXx+PFjs+oICQmRbtH14qNM\nmTJi//79hRKDiIiIiIiIiF5eCiGEMJDLJbJpCQkJ6NixI06fPg0AaNOmDbp27Ypy5cohJSUFly9f\nxq+//oo6depg//79JtczbNgwrFu3DgDw2muv4e2334aLiwtCQkKwbds2CCHQvHlzHDlyBMWKFbNY\njKIiIyMDjRo1wuXLl1GsWDGkpaVBpVIhLi7OrLi3bt1C8+bN8fTpUxQvXhwjR45E/fr1ER0djTVr\n1uDmzZsAgHXr1mHIkCEWi2GP/vrrL/znP/8BAJQuXRpdunRB48aN4enpibt372LTpk24evUqACAw\nMBAhISFmzb5buHAhPv74YwBZsxEGDx4MT09PhIaGYt26dcjIyEDVqlVx+vRplC5d2mIx7MHz58/R\nsmVLXL9+HUqlEoMHD0br1q2RkJCAjRs34ty5cwCAmTNnYt68eVatp7DaamuioqKkmcMqlQpBQUFo\n0aIFfHx88PjxY/z888/S36k6derg5MmT8PT0NLm+rVu3YsCAARBCwM/PDyNHjkTZsmVx8eJFBAcH\nIzExEV5eXggNDUXNmjUtFqMomTBhAlasWCH9TQKA0NBQNG/e3OSYarUaHTp0wNGjRwEAffr0QadO\nnaBWq7Fz506EhIQAAPr164etW7daLIa9W758OT744AMAQLly5fDOO+/glVdegYuLC+7evYvDhw/j\n6NGjiIyMRJUqVUyq46+//sIbb7yB9PR0lC5dGmPGjEH16tURERGBVatW4fHjx3B2dkZISAgCAwMt\nFoOIiIiIiIiIXnLWzBYTmaNHjx4CgHB2dhbbt2/XW0ar1YqbN2+aXMe+fftyzGJ5UXBwsLR/3rx5\nFotRlMyaNUsAEIGBgaJDhw6yzbDt2LGjACBcXV3F+fPnc+xLTEyU1r9yd3cX0dHRFothj06cOCEq\nV64s1q9fL9LT03PtV6vVYuDAgdI4XbJkicl1Xb9+XZpdHRQUlKu+kJAQ4eDgIICs9UUsFcNejB07\nVgBZaw/t3r07xz61Wi169uwp7Te2Lk9h1FNYbbU19+/fF6VKlRL//e9/9c5A12q1Yvr06dL1M27c\nOJPriomJESqVSgBZa+HFx8fn2B8eHi7c3d0FAPHaa69ZLEZRcuLECaFQKIRKpRJTp06VbYbt119/\nLcX6+uuvc+2fPHmytH/Hjh0Wi2HPsn9+6tOnj8E7PNy/f1+kpKSYVIdarRbVq1cXQNa6f/fv38+x\n/8GDB6JixYoCgKhWrZrIyMiwSAwiIiIiIiIiIiZsyS79+uuv0pd4K1assFg9rVq1EgCEr6+vwS8D\n27ZtKyUd9d2WUI4YRUVYWJhwcnISLi4u4vr161KC1NyE7d9//y2Nh9mzZ+stc/HiRanM9OnTLRLD\nXsXFxYnU1FSjZZKSkoSXl5cAIOrVq2dyXYMGDRIAhJOTk4iKitJbZsSIEQLIuqX53bt3LRLDHjx5\n8kQ4OTkJAKJ///56y8TExAhXV1cBQPTu3dtq9RRWW21RamqqiIuLM1pGo9GIOnXqCADC09NTZGZm\nmlTXnDlzpPegs2fP6i0zf/58qcxff/1lkRhFRUpKinQ7+O+++y5HgtSchG1mZqbw9fUVQNbt2fXJ\nyMgQlStXFgBE/fr1LRLDnqWnp0u3Qa5fv75Qq9UWqWfTpk3SOf/xxx/1lvnpp5+kMuvXr7dIDCIi\nIiIiIiIiB+Pzb4ls07JlywAAlSpVwvvvv2+ROh4+fIhTp04BAAYMGABXV1e95YYPHw4AiI+Pl25P\nKGeMoiIzMxNDhgyBWq3GjBkzUKtWLdlib9++XdrW9eWL6tWrhyZNmuQqL2cMe6VSqfK8Fbe7uzta\ntGgBALh27RqECXfTV6vV2LVrFwAgKCgI5cuX11tO1/9arRa//PKL7DHsxW+//Qa1Wg3A8Jj09vZG\njx49AAB79+5FSkqKVeoprLbaomLFikGlUhkt4+DggHbt2gHIunV0dHS0SXXp3neyvxe9aNiwYVAo\nFDnKyx2jqPjkk09w8+ZNtGzZEqNGjZIt7vHjx/H48WMAWX2pj5OTE9577z0AwIULFxARESF7DHv2\nyy+/4N69ewCAuXPnQqlUWqQe3fguWbIkevfurbdMz5494eXllaO83DGIiIiIiIiIiJiwJbvz6NEj\nHDt2DEDWum0ODpYZxidOnJCSUq+99prBctn36dolZ4yiYtGiRbhw4QJq166NGTNmyBr7+PHjAIBq\n1apJa0nqo+vnyMhIPHjwQPYYRZ0uIWeq8PBwaa1iY9dDo0aN4OHhASD39SBHDHuhG5POzs5Sslwf\nXT+kpKTg77//tko9hdVWe5b9+jHlBw/Pnj2T1pI2NvZ9fX1Ru3ZtALnHvhwxioozZ85g2bJlcHJy\nQnBwsJSgloPuegBM/9svRwx7pluT18vLC0FBQRarR9fPLVu2hJOTk94ySqUSrVq1ylFe7hhERERE\nREREREzYkt05ffq0tN2qVSsIIfDnn3/io48+woABAzBq1CgsX75cmplhqitXrkjbderUMViuXLly\nKFGiBABIX4TLGaMouHLlCubOnQuFQoHg4GA4OzvLGl/XZ8b6GICUgMj+GjljFGWpqanStVerVi2T\nkhv5vR4cHR1RvXp1AKZfU8Zi2AvdsVatWtXoDGhzx6Qc9RRWW+3Zn3/+CSBrFl7ZsmUL/Pr8jn3g\nf/3877//QqvVyhqjKEhPT8fQoUOh0WgwdepU1K1bV9b4un52cnKCn5+fwXL5uabMiWHPzpw5AwBo\n1qwZHB0dcf/+fSxZsgTDhg3De++9h5kzZ0rXlKkePnwo/QAov9dDYmIi7t+/L2sMIiIiIiIiIiIA\nsMz9xYgs6Nq1a9K2SqXC66+/jiNHjuQqN2XKFEycOBELFy6Eo6NjgevJPnvS0G1XdcqVK4eEhARE\nRUXJHsPeaTQaDB06FBkZGRgxYgT+85//yBo/MTERCQkJAPLu4+z7s/ezHDGKuq+++krqo3feecek\nGAW5HsqXL4+wsDCzrilDMeyF7lgtPSblqKew2mqvtmzZIt2utk+fPhb/m6Tbn5qaimfPnqFUqVKy\nxSgKPv/8c1y9ehU1atTArFmzZI+v6+eyZcsavQuIbr9WqzV4TZkTw17FxsZKt4OuWbMmlixZgpkz\nZyIjIyNHuQULFqBRo0bYtm2b9AOdgjDlegCy3rt0d+KQIwYREREREREREcCELdmh58+fS9vDhw9H\nREQEGjZsiAEDBqBMmTK4ffs21q5di9u3b2Px4sWIjY3F999/X+B6EhMTAQAKhcLg2rM67u7uAICk\npCTZY9i7pUuX4uzZs/D19cUXX3whe3xdHwP/60NDsu/P3s9yxCjKzp8/j3nz5gEAKlSogAkTJpgU\nx5R+TklJgVarlRIWcsSwF7pjtfSYlKOewmqrPbp37x4mTpwIAPDw8MDs2bNNimPO+5Qu2SpHDHt3\n/vx5fPnllwCAVatW5bl+tynyez3oPhskJyebfE0Zi2Gvsn/O27NnDyIiIuDh4YFx48ahQYMGSElJ\nwZ49e7B79278888/aN26Nf755588E6Yv4ucHIiIiIiIiIrIlTNiS3UlNTZW2IyIiMGDAAGzcuDFH\nMmbixIno2LEjTp48ibVr16J///5o165dgerRzeRQKvO+THS3+E1PT5c9hj27ceMG5syZAwBYtmwZ\nPD09Za8j+4ybvPo5+62Ys/ezHDGKqujoaLz11ltIS0uDo6MjtmzZguLFi5sUy9R+zsjIkJIqcsSw\nF/l9/zB3TMpRT2G11d4kJyejR48eiImJAZCVIKxQoYJJsfheZz61Wo2hQ4ciMzMTgwYNKvDngvwq\n6N/+5ORksz8/6Ithr178nFeqVCmcPHkSNWrUkJ4fOXIkVq9ejdGjR+Px48eYNGkSfv755wLVw2uK\niIiIiIiIiGyJfU03IgLg5uYmbatUKnz33Xe5Zs65u7tj7dq10jqbwcHBJtejVqvzXL9P9+Xii7Mr\n5Ihhr7RaLYYOHYq0tDQEBQWhX79+Fqkn+3jI6wvQ7F8CZ+9nOWIURfHx8QgKCpLWg165ciUCAwNN\njmdKPzs6OuZItMoRw17ojtXSY1KOegqrrfZErVajV69eCAsLAwDMmDED/fv3Nzke3+vMt2DBAly8\neBE+Pj5YunSpxerJ7/UA5P35wZwY9ir7OAWA+fPn50jW6owaNQpt27YFAOzcuROxsbEm18NrioiI\niIiIiIisjTNsySbcv38fkyZN0rvP3d0dGzZskP6tUqmk7fbt28PDw0Pv62rVqoVXXnkFV65cQWho\naIHblL2e+Ph4o7ND4+PjAQAlSpSQPYatWbVqFQ4dOqR3X9++fdG3b1+p3MmTJ+Hm5oaVK1darD3Z\n+ysuLs5oWV0fv/g6OWLYGrVabXSt2R9++MHgtQNk3Ua4a9euuHDhAgBg0aJFGDlypFltyn495Lef\nX2yjHDHshUqlQmJiosXHpBz1FFZb7YVGo0H//v1x4MABAMCYMWOwYMECs2KaMvaBnP0sRwx7df36\ndekcfPXVV/D29rZYXbp+zquP09PTkZaWBsDw5wdzYtir7OMUAN566y2DZXv27IkjR45Aq9XizJkz\nCAoKMqkeXlNEREREREREZG1M2JJNiI+Px86dO/Xue/GLu+yzLCpVqmQ0bqVKlXDlyhU8fvy4wG3y\n8/OTtu/evWsw2arVahEVFQUAqF69uuwxbM25c+cMnqtXX31V2j5//jwAwMvLC1OmTNFbXpcMTElJ\nQe/evQEA9erVK9Aaj8WKFUP58uXx4MED3L1712jZ7Puz97McMWyNRqMxeJ6ArIS6oURmeno6evTo\ngb/++gsAMGvWLEybNs3sNr14PTRp0sRgWV0/53VNmRLDXvj5+SEqKsriY1KOegqrrfZACIFhw4Zh\nx44dAID33nsP3377rdlxXxz7xuj2+/j45PgbKkcMe3X58mVkZGRAqVRi165d2LVrV64yERER0vbH\nH38MLy8vAMDPP/9coDWw/fz8cPToUTx58gSpqakG17DX3b0A0H9NmRvDXnl7e8PT0xPPnz+Hm5sb\nfHx8DJbN/jmwoJ/1/Pz8oFAoIIQw+b1LjhhERERERERERAATtmQjKlWqhO3bt+vdl33NLwAICAiQ\ntrOvHaaPbr+Li0uB21SvXj1pOywsDPXr19db7tKlS1Cr1QAAf39/2WPYmjFjxqBTp056973yyiu5\nnouKipKS0Yao1WopuZjXDBV96tWrhwcPHuDixYsQQki3wn6RLons6OiYq61yxLAlzs7OBq8pwPDs\nnszMTPTt2xchISEAgA8//BBz586VpU0vXg+6JP2LEhMTERkZCSDva8qUGPaiXr16OHbsGB48eIAn\nT56gdOnSesvpxiRg2rHKUU9htdUejB07VrorRN++fbFu3TqD7ycFUbt2bTg5OUGtVku3WTZEt//F\nPpYjhr3LzMw0+mMWnSNHjkjbWq22QAnb7O9TFy5cQIsWLfSWy+uaMjeGPQsICMDRo0elz0aGZP8c\nWNDPesWLF0eVKlVw+/btPK8HXT9XrFgxxw8Y5IhBRERERERERAQwYUs2okSJEgYTLy+qVasW/Pz8\nEBkZifDwcIPlhBC4fPkygJyzivIrMDAQ7u7uSE5Oxt69ezFkyBC95fbt2ydtd+7cWfYYtqZRo0Zo\n1KhRnuWMJXZ15s+fjwsXLsDNzU1KcPj6+ha4TUFBQdi3bx/i4uJw6tQptGrVKlcZjUYjJSFbt26d\na3apHDFsiYODQ76vKR2tVouBAwdi9+7dAID3338fS5Yska1N1apVQ61atfDvv/9i7969mD9/vt5y\nBw4cgEajAZD7epAjhr0ICgrCihUrAGS9RwwaNEhvOd37R4UKFUxK2MhRT2G11dZ99NFH+O677wAA\n3bt3x5YtW+Do6ChL7GLFiqFt27Y4ePAgDh06BLVaDScnp1zlzp07h6dPnwLIPfbliGGvWrRoYfRH\nLACwZ88erF+/HkDWere6O3oU9BwGBQXhgw8+AADs3bvXYLJVdz04OzvjjTfekD2GPevSpYuUsL12\n7Rrq1Kmjt1z2z4GmfNYLCgrCypUrcf78eTx+/FjvZ5CnT5/in3/+AaD/epAjBhERERERERERBJEd\nmjt3rgAgFAqFCA8P11tm+/btAoAAID755BOT6hk8eLAAIJycnMSNGzdy7U9KShKVKlUSAIS/v7/F\nYhRVHTt2FACESqUyK86jR4+Eq6urACC6d++ut8zGjRul8bB27VqLxLBnWq1WDBkyRDq+YcOGCa1W\nK3s98+bNk+oICQnJtV+j0YgWLVoIAMLHx0ckJydbJIY9SE9PF+XLlxcAREBAgFCr1bnKnDp1SuqL\nGTNmWK2ewmqrLZszZ450fJ06dRLp6emy17F582apjjVr1ugt07dvXwFAODs7i3v37lkkRlH19ddf\nS30TGhpqVqzmzZsLAMLX11fExcXl2n/37l3pb06fPn0sFsNe3b9/X7i4uAgAYty4cXrLJCcnS5+f\nypQpIzIzMwtcz+nTp6VzPm3aNL1lPv74Y6nMyZMnLRKDiIiIiIiIiIgJW7JLSUlJUnKgevXq4vLl\nyzn2//nnn8LLy0sAEN7e3uLp06e5YqxevVr06tVL9OrVS9y+fVtvPXfu3JG+DPX39xd3796V9iUk\nJIju3btLX8Dt2bPHYjGKqvwkbDMyMqTzNHv2bIPlZsyYIfXj559/nuOL22PHjomSJUsKAKJOnToG\nv9SVI4a9Gj9+vHTsAwcOFBqNpsAxdu/eLZ0rQ8mOxMREUbZsWQFAlC9fXly4cEHal56eLsaNGye1\nY/ny5RaLYS/Wrl2bI4mempoq7bty5YqoUqWK9D4XGxurN8bIkSNFr169xMiRIy1ajxwx7NWSJUuk\nY3/99ddzHHt+hYaGStfP7t279ZbRaDQiICBAABAlSpQQhw4dyrFv0aJFUjsmT55ssRhFVX4TtrNn\nz5bOVUZGht4yR48eFQqFQgAQHTt2FM+fP5f2PXjwQDRu3FhKil+7ds1iMezZ9OnTpR/n/fe//83x\ndykmJkZ06dJFOl8rV67M9frbt29L52n16tUG63nrrbcEAKFUKsWmTZty7NuyZYtQKpUCgHjzzTct\nGoOIiIiIiIiIXm5M2JLdOn/+vChRooQAIBwcHETTpk3Fm2++Kfz9/aUv8Dw8PMTRo0f1vn7UqFFS\nubCwMIP17NixQzg4OEhfirZp00Z06NBBqFQq6fWzZs0y2lY5YhRF+UnYpqamSn3Upk0bg+UyMjJE\n+/btpbIVK1YUXbp0EQ0bNpSe8/b2FtevX7doDHv022+/Scfn6OgoevToIX3Jbejx5MmTXHEWL14s\nxdm+fbvB+s6cOSPc3Nyka7dFixYiKChI+Pr6Sq9/5513jM7wlSOGvRg+fLh0TKVKlRJBQUGiVatW\n0nuKi4uLwfc5IYT045by5ctbtB65YtibCxcuSMcMQAQFBeV5/bz4IyMhct4VYvHixQbri4yMFKVL\nl5bKNmjQQHTp0kWaaah7rzQ2w1eOGEVRfhO2bdq0kcoZS84vXLgwx+eR9u3bi7Zt20ozRxUKhdi4\ncaPRNskRw16p1WoRFBQkHX+FChVE165dRbt27aT3fwBixIgRel8fFhYmlRk1apTBemJjY0WdOnWk\nsrVq1RJdunQRtWvXzvHcs2fPLBqDiIiI7NOjR49E8eLFi8TdaQYNGvTSfj9FRERkC5iwJbt269Yt\n0b17d2nmQvakU/fu3Y0m1vKbsBVCiJMnT0ozWbI/qlatKjZv3pyvtsoRo6iRM2ErRFbCdfbs2dLs\nat1DqVSK7t275+s/T3LEsDebNm3KNS7zeuiblZ7fhK0QQly7dk288cYbUiJP9/D19RVLlizJ1wxf\nOWLYA61WK7755hsp8ap7KBQKERgYKC5evGj09flN2Jpbj1wx7M2JEycKfP0cOXIkV5z8JmyFyJpd\n2bt3b+Hk5JQjbsmSJcX06dNFWlpanu2WI0ZRI3fCVoisH2zVqFEj1xgICAgQf/75Z77aJUcMe6VW\nq8XChQtz/BhH9/Dz8xM//PCDwdfmN2ErhBDx8fFi1KhRORLBAISrq6sYPny43ltSWyIGERER2Z+h\nQ4cKwPAyDvYkMjJSKJVK4erqWiS/+yAiIrJ1CiGEAJGdi42NxdWrVxEbG4uSJUsiICAAKpXK6GvC\nwsIQGRkJAGjfvn2e5QHgzp07iIiIgFqtRqVKlVC3bt0Ct1WOGEXFX3/9hejoaDg7O+PNN9/UW0ar\n1eKXX34BAJQqVQpt2rTJM25GRgYuXryIx48fo0SJEnjllVfg4+NToLbJEcNe3Lt3D2fPni3Qazp3\n7gw3N7ccz924cQPh4eEAgBYtWqB8+fJ5xomOjsa1a9eQnJyMcuXKISAgAI6OjgVqixwx7IFWq8Wl\nS5cQFRUFV1dX1KpVK199vHfvXqSkpMDNzQ2dO3e2WD1yx7AXz549w5EjRwr0mjZt2qBUqVI5nnvw\n4AFCQ0MBAPXq1UPNmjXzjBMbG4srV64gLi4Ovr6+CAgIgIuLS4HaIkeMoiIiIgIXLlwAALRr1w5e\nXl56yx07dgxPnz4FAPTs2RMODg55xr5+/Tru3LkDBwcH+Pn5wc/Pr8DtkyOGvdJoNLh06RIePnwI\nR0dHVK1aNc9rJD4+HiEhIQAAPz8/NGjQIM96kpKSEB4ejmfPnsHb2xv+/v7w8PAoUFvliEFERET2\n4eLFi2jYsCGcnZ0RGRmJcuXKWbtJZhs+fDjWrl2LAQMGYPPmzdZuDhER0UuFCVsiIiIiIiIiIiKi\nAujduzd27tyJQYMGYf369dZujiwuX74Mf39/KBQK/Pvvv6hRo4a1m0RERPTSyHtKABERERERERER\nEREBAB4+fIhdu3YBAN59910rt0Y+r776KurXrw8hBFatWmXt5hAREb1UmLAlIiIiIiIiIiIiyqc1\na9YgMzMT5cuXR9u2ba3dHFnpEtDr169HWlqalVtDRET08mDCloiIiIiIiIiIiOza6tWroVAooFAo\nsHjxYoPlvvrqK6ncypUrTarrp59+AgAEBQXBwcHw16tvvPEGFAoFevToYTRe48aNoVAoMHjw4Fz7\nxo0bB4VCgerVqwMAnjx5gilTpqB69epwc3ND9erVMWXKFDx//jzH6w4cOICOHTvC19cXbm5uaNSo\nEdatW5fnsXXu3BkAEBsbi4MHD+ZZnoiIiOTBhC0RERERERERERHZtVGjRqFPnz4AgJkzZ+Ls2bO5\nyvzzzz+YMWMGAKBHjx54//33C1zPkydPcO3aNQBAs2bNzGhxwUVGRqJZs2ZYunQpIiMjkZqaisjI\nSCxduhRt27ZFQkICAODTTz9Fp06dcPDgQTx58gSpqak4f/48hg0bhmnTphmto1atWvD09AQAHD16\n1NKHRERERP+PCVsiIiIiIiIiIiKye2vWrEGVKlWgVqvRr18/xMfHS/uSkpLwzjvvICMjAxUrVsTa\ntWtNquP48ePSdvPmzc1uc35pNBr0798f3t7eOHz4MJKTk/Hs2TMsXboUDg4OuHjxIj7//HP8/PPP\nmDt3LqZPn47IyEikp6cjPDwcrVu3BgAsXrwYYWFhButRKBTScTFhS0REVHiYsCUiIiIiIiIiIiK7\np1KpsHXrViiVSty+fRsjR46U9o0ZMwY3b96Eo6MjtmzZAi8vL5PquHz5srTt5+dndpvz686dO0hJ\nScGxY8fQrl07uLm5wcvLC5MnT8bYsWMBAMHBwZgwYQK+/vprLFy4ENWqVYOzszP8/f3x22+/oXjx\n4hBC5HlrZN3tl7MfKxEREVkWE7ZERERERERERERUJDRv3hzz5s0DAPz8889Ys2YNNm7ciM2bNwMA\nZs+ejf/85z8mx3/69CkAwNXVFa6uruY3uAAWLFgAd3f3XM+/8847AIDExER4eHhg/Pjxucp4e3uj\nQ4cOAIBTp04ZrUeXzFar1TlmKRMREZHlKK3dACIiIiIiIiIiIiK5TJ06FYcPH0ZISAg++OADODo6\nAgDatGmDWbNmmRVbl7A1dYauqZycnKSE64tq164tbQcFBUGhUBgtd+/ePaN1eXt7S9tPnjyBSqUq\naHOJiIiogDjDloiIiIiIiIiIiIoMhUKBTZs2wdfXF6mpqUhKSoK3tzc2b94MBwfzvg7VJUOFEHI0\nNd98fX3h4uKid1/x4sWl7cqVKxuMoSuXnJxstK7sx2Yo+UtERETyYsKWiIiIiIiIiIiIihQfH58c\na8y2a9cOFSpUMDtuqVKlAACxsbFmxyoIQ8laIGdSNT/ltFqt0bqyH5vueImIiMiymLAlIiIiIiIi\nIiKiImXu3Lk51mrdvn07duzYYXbc0qVLAwDS0tKQmppqdjxb9OzZMwCAs7Mzb4dMRERUSJiwJSIi\nIiIiIiIioiLj+PHjmDdvHgDgvffeQ9OmTQEAI0aMyHP91ry8+uqr0nZERES+XqNWq43uz+sWxYVN\nd1zZj5WIiIgsiwlbIiIiIiIiIiIiKhJiY2MxYMAAaDQa1KpVCytXrsTWrVtRokQJxMXFoX///tBo\nNCbHDwwMlG4tfObMmXy95vbt2wb3paSk4NatWya3R25CCOm42rRpY+XWEBERvTyYsCUiIiIiIiIi\nIqIiYejQoYiKioKLiwu2bdsGd3d3VKtWDatWrQIAnDx5Ep9++qnJ8X18fKSZp/lN2F6/fh2hoaF6\n961cuRIZGRkmt0du//77L54/fw4AeO2116zbGCIiopcIE7ZERERERERERERk97755hvs2rULAPDl\nl1+ifv360r533nkHgwcPBgAsWLAAR48eNbmevn37AgD2798PrVabZ3khBHr27ImNGzciKioKarUa\nkZGRmDVrFqZPny6VCw8Pt/q6uPv27QMAeHl5oUOHDlZtCxER0cuECVsiIqIi5Ntvv8Xw4cNx6NAh\nazfFLPv27cPw4cMRHBxs7aYQEREREZEduHjxIqZMmQIA6NatGyZMmJCrzDfffINatWpBq9Vi4MCB\nePbsmUl1DR8+HE5OToiKisKRI0fyLN+qVSs4OTlh0KBBqFixIpydnVG9enXMnz8f1apVw+jRowEA\nYWFhcHNzk9bftYZNmzYBAAYPHoxixYpZrR1EREQvGyZsiYiIiojr169j4sSJ+Pnnn9GgQQNrN8cs\n9evXx5YtWzB+/HibWs+JiIiIiIhsT0pKCvr164f09HSUK1cOP/zwg95y7u7u2LZtG1xcXPDgwQMM\nHTrUpPrKlCmDHj16AAA2btyYZ3kfHx+cPn0agwcPRtmyZeHs7IyKFSti7NixOH36NBYsWIC2bdvC\n1dUVAQEBaNmypUntMtfVq1cRFhYGhUKBUaNGWaUNRERELyuFEEJYuxFERERkvi5dumDv3r2YOXOm\nVX+RLZdJkyZh2bJl6NWrF3bs2GHt5hAREREREUnCw8PRoEEDODs7IzIyEuXKlctV5o033sDhw4fR\nvXt3/Pbbb4XfyAIaMWIEvv/+e/Tv3x9btmyxdnOIiIheKpxhS0REVAQcO3YMe/fuhaurKz788ENr\nN0cW06ZNg1KpxM6dO3HmzBlrN4eIiIiIiEhSr149DBkyBGlpaViwYIG1m2O227dvY8OGDXB1dcXC\nhQut3RwiIqKXDhO2RERERcDy5csBAN27d4enp6eVWyOPMmXKoGPHjgCAFStWWLk1REREREREOc2b\nNw/FixfH999/j/v371u7OWb5/PPPoVarMXnyZFSqVMnazSEiInrpMGFLRERk5x4+fIjdu3cDAN59\n910rt0ZeuuPZsWMHYmJirNwaIiIiIiKi/ylTpgwSExORlpaGihUrWrs5Zvnhhx8ghCgSy+sQERHZ\nI6W1G0BERFQUXbp0Cf/9738BZK1b1K9fP73lEhMTMW3aNGRkZKBy5cr45JNPClzXhg0bkJmZCZVK\nhQ4dOhgst2fPHvz6669wc3OTZuTqs337dhw4cAA+Pj5YtGhRjn3//PMPvvvuOwDA4sWL4enpiZiY\nGPz000+IiIiAh4cHWrdurbcdJ06cwLFjxxAdHY3y5cujd+/eqFGjhtFj6969O4oVK4a0tDRs2rQJ\nkyZNMlqeiIiIiIiIiIiIyN4wYUtERGQB/v7+ePLkCX7//Xds3rwZderUQUBAQK5y77//PjZv3gxH\nR0ccPXrUpLoOHToEAGjatCmUSsN/2sPCwrB27VqoVCqjCdszZ85g7dq1qFy5cq6E7e3bt7F27VoA\nwKeffoo9e/ZgxIgRSEtLy1GuS5cu+OWXX+Ds7Iy4uDj07t0bhw8fzlFm9uzZWLZsGcaOHWuwLcWK\nFUODBg0QGhqKQ4cOMWFLRERERERERERERQ5viUxERGQhP/zwA8qXL4/09HS8/fbbSE5OzrF/w4YN\n2Lx5MwBgzpw5aN26dYHryMjIQGhoKACgefPm5je6APbv3493330XTZs2xRdffIHly5ejW7duALJm\n806cOBGZmZno0KEDzpw5gzFjxuCbb77BnDlzUKFCBWRmZmL8+PE4efKk0XpatGgBAPjrr7+g0Wgs\nflxERERERERyOHToEIQQ+O2336zdFCIiIrJxnGFLRERkId7e3tiyZQvatWuHf//9F2PHjsX69esB\nADdu3MC4ceMAAG3atMHMmTNNqiM8PBypqakAgPr168vR7HybPHkyvvzyS3z00UfSc+PHj8ekSZOw\nbNkyrF27Fo6Ojnj06BEuXryIatWqSeVGjx4Nf39/xMTE4IsvvpDW4NWnQYMGAICEhARcuXIF9erV\ns9xBERERERERERERERUyzrAlIiKyoDZt2mDWrFkAsmbUbtmyBRkZGejXrx+SkpKkpK6Dg2l/kh89\neiRt+/j4yNLm/GratGmOZK3Oxx9/DAcHB2RkZOCbb77BqlWrciRrAaBMmTIYPnw4ACAkJMTozNlS\npUpJ29mPl4iIiIiIiIiIiKgoYMKWiIjIwmbPno3AwEAAwJgxYzBo0CCEhYUB+N9tk0319OlTadvb\n29u8hhbQsGHD9D5fqlQpVK1aFUBWYrZz5856yzVt2hQAkJaWhjt37hisJ/txZT9eIiIiIiIiIiIi\noqKACVsiIiILc3R0xJYtW+Dt7Y3ExERs27YNADBhwgRpzVdTJSUlSdvu7u5mxSqogIAAg/t0s339\n/f2hUCj0lsk+czYuLs5grOzHlZiYWMBWEhEREREREREREdk2JmyJiIgKQYUKFTBjxgzp35UqVcKX\nX35pdlwvLy9p21jS0xJKlChhcJ9Sqcx3GQBQq9UGy2U/ruzHS0RERERERERERFQUMGFLRERUCGJj\nY7Fs2TLp3/fu3cOhQ4fMjpt9lmpsbKzZ8WzRs2fPpO3sx0tERERERERERERUFDBhS0REVAiGDh2K\nqKgouLi4oGbNmgCAwYMH4+HDh2bFrVy5srQdHR1tViydzMxMWeLIJftxZT9eIiIiIiIiIiIioqKA\nCVsiIiILW7FiBXbt2gUAWLJkCXbt2gU3NzfExMTg3XffhVarNTl27dq1pVmn586dy9drEhISkJqa\nanB/VFSUye2xhLNnzwIAypYtCz8/Pyu3hoiIiIiIiIiIiEheTNgSERFZ0MWLF/HRRx8BAN58802M\nGzcOtWvXxvLlywEAf/75JxYtWmRWHYGBgQCAM2fO5Ku8EAKnTp3Suy8xMRGHDx82qz1yO336NACg\nTZs2Vm4JERERERERERERkfyYsCUiIrKQ5ORk9OvXD+np6ShfvjzWrVsn7Rs2bBjefvttAMCcOXMQ\nGhpqcj2dO3cGAJw/fx7Jycn5es348eMRGRmZ47mEhAQMHDgQcXFxALKSt0IIk9slh2fPnuHq1asA\n/necREREREREREREREUJE7ZEREQWMn78eFy/fh0ODg7YsmULvL29c+xfvXo1qlatiszMTPTv3x/x\n8fEm1fP2229DpVIhLS0NO3fuzLN8sWLFEBMTg7p166JNmzZ477330K1bN1SsWBG7d+9Gw4YNAQCx\nsbHo1KkTvvrqK5PaJYeffvoJGo0Gnp6e6N27t9XaQURERERERERERGQpTNgSERFZwNatW/HDDz8A\nAGbNmqX3dr4qlQpbt26FUqnEnTt3MHLkSJPqcnd3x7vvvgsA2LhxY57lXVxc8Pvvv8PX1xfHjx/H\npk2b8McffyAlJQUzZsxASEgIypUrBwA4ePAgjh49alK75LBp0yYAwODBg+Hq6mq1dhARERERERER\nERFZitLaDSAiIiqKlEol1qxZA6VSKSVT9WnWrBn27duHO3fuAADi4uJQsmTJAtc3fvx4rFq1CkeO\nHEFkZCT8/PyMlm/WrBkiIyNx8uRJ3L9/Hx4eHmjRogVKly4NAAgPD8ehQ4fg5eWF1157TXpd48aN\nsWbNGgCAl5eXwfjTp09HdHQ0qlatarCMn5+fFEtfe69cuYLTp0/DyckJ48aNM3o8RERERERERERE\nRPZKIay9OB0RERHJYty4cfj222/x3nvvYcOGDbn2z5s3D5988glUKpW0Tq0t69u3L7Zv347Jkydj\n6dKl1m4OERERERERERERkUXwlshERERFxKeffgqVSoUtW7bg33//tXZzzHLp0iXs2LED3t7e+OST\nT6zdHCIiIiIiIiIiIiKL4S2RiYiIiggfHx/s3r0bN27cQEpKirWbY5b09HQEBwejTp06Jt0imoiI\niIiIiIiIiMheMGFLRERUhAQGBiIwMNDazTBb48aN0bhxY2s3g4iIiIiIiIiIiMjieEtkIiIiIiIi\nIiIiIiIiIiIr4QxbIiKil0TXrl1RpkwZuLi4WLspRERERERERERERPT/FEIIYe1GEBERERERERER\nERERERG9jHhLZCIiIiIiIiIiIiIiIiIiK2HCloiIiIiIiIiIiIiIiIjISpiwJSIiIiIiIiIiIiIi\nIiKyEiZsiYiIiIiIiIiIiIiIiIishAlbIiIiIiIiIiIiIiIiIiIrYcKWiIiIiIiIiIiIiIiIiMhK\nmLAlIiIiIiIiIiIiIiIiIrISJmyJiIiIiIiIiIiIiIiIiKyECVsiIiIiIiIiIiIiIiIiIithwpaI\niIiIiIiIiIiIiIiIyEqYsCUiIiIiIiIiIiIiIiIishImbImIiIiIiIiIiIiIiIiIrIQJWyIiIiIi\nIiIiIiIiIiIiK2HCloiIiIiIiIiIiIiIiIjISpiwJSIiIiIiIiIiIiIiIiKyEiZsiYiIiIiIiIiI\niIiIiIishAlbIiIiIiIiIiIiIiIiIiIrYcKWiIiIiIiIiIiIiIiIiMhK/g8CzDrlDGvRvgAAAABJ\nRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "_, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 4))\n",
        "sim0.plot(z=0, ax=ax1)\n",
        "sim0.plot_eps(z=0, ax=ax2)\n",
        "plt.show()"
      ],
      "id": "e4904f28"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Objective Function\n",
        "\n",
        "Next, we will write the code that will define our metric for\n",
        "optimization. Specifically, we will analyze the transmission spectrum of\n",
        "our device, and compute the weighted sum with a set of weights\n",
        "representing our ideal bandpass filter operation.\n",
        "\n",
        "We’ll also include a penalty to discourage small feature sizes, which\n",
        "could be difficult to fabricate."
      ],
      "id": "8e1ee803-41bc-47cb-bc2d-734bfa10d5ab"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_transmission(params, beta, step_num: int, verbose: bool, use_broadband: bool) -> np.ndarray:\n",
        "    \"\"\"Compute transmission amplitudes as function of frequency.\"\"\"\n",
        "    sim = get_sim(params=params, beta=beta)\n",
        "    task_name = \"bandpass_invdes\"\n",
        "    if step_num is not None:\n",
        "        task_name += \"_step_\" + str(step_num)\n",
        "    data = web.run(sim, task_name=task_name, verbose=verbose)\n",
        "    amps = data[mnt_mode.name].amps.sel(direction=\"+\", mode_index=mode_index)\n",
        "    if not use_broadband:\n",
        "        amps = amps.interp(f=freq0)\n",
        "    return np.abs(amps) ** 2"
      ],
      "id": "cf3f921b"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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PTZs2LQMHDnzPtQAAAACKVpGQ6umnn87vfve7JMlxxx2XSy65JD169Fhu3I9/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\nqiT51a9+VQ6oDjjggHzsYx9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l+OOPz+9+97vVusyetd+S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\nAAAAAIpTUgEAAABQ3H8A9wG4Z5OqQNEAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "bandwidth_um = 0.1\n",
        "\n",
        "import xarray as xr\n",
        "\n",
        "\n",
        "def target(freq: float) -> xr.DataArray:\n",
        "    \"\"\"Target transmission as a function of frequency.\"\"\"\n",
        "    wvl_min = lambda0 - bandwidth_um / 2.0\n",
        "    wvl_max = lambda0 + bandwidth_um / 2.0\n",
        "    wvl = td.C_0 / freq\n",
        "    values = 1.0 * (np.logical_and(wvl > wvl_min, wvl < wvl_max))\n",
        "    return xr.DataArray(values, coords=dict(f=freq))\n",
        "\n",
        "\n",
        "target_spectrum = target(freqs)\n",
        "target_spectrum.plot.scatter()\n",
        "plt.ylabel(\"transmission\")\n",
        "plt.show()"
      ],
      "id": "11a9a664"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_metric(transmission: xr.DataArray) -> float:\n",
        "    in_band = target_spectrum\n",
        "    out_band = 1 - target_spectrum\n",
        "\n",
        "    avg_T_in_band = np.sum(in_band * transmission).values / np.sum(in_band).values\n",
        "    avg_T_out_band = np.sum(out_band * transmission).values / np.sum(out_band).values\n",
        "\n",
        "    # ideally,  (avg_T_in_band = 1 and avg_T_out_band = 0) -> metric = 1\n",
        "    # at worst, (avg_T_in_band = 0 and avg_T_out_band = 1) -> metric = -1\n",
        "\n",
        "    return avg_T_in_band - avg_T_out_band"
      ],
      "id": "0e5c4b04"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Fabrication Penalty\n",
        "\n",
        "Next, we introduce a built-in fabrication penalty function that\n",
        "evaluates our design region to reduce our objective function if any\n",
        "small feature sizes are measured compared to the `radius` defined\n",
        "earlier."
      ],
      "id": "ce30c4cf-3cb9-4e9d-95b0-bd9de0c1efd7"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [],
      "source": [
        "from tidy3d.plugins.autograd import make_erosion_dilation_penalty\n",
        "\n",
        "penalty = make_erosion_dilation_penalty(radius, dl_design_region, beta=beta_penalty)"
      ],
      "id": "50bf1862"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [],
      "source": [
        "# for debugging, can be helpful to be able to change our objective function behavior\n",
        "use_metric = True\n",
        "use_penalty = True\n",
        "use_broadband = True\n",
        "\n",
        "\n",
        "def objective(\n",
        "    params: np.ndarray,\n",
        "    beta: float,\n",
        "    step_num: int = 0,\n",
        "    verbose: bool = False,\n",
        "    use_metric: bool = use_metric,\n",
        "    use_penalty: bool = use_penalty,\n",
        "    use_broadband: bool = use_broadband,\n",
        ") -> float:\n",
        "    metric = 0.0\n",
        "    penalty_val = 0.0\n",
        "\n",
        "    if use_metric:\n",
        "        transmission = get_transmission(\n",
        "            params=params,\n",
        "            beta=beta,\n",
        "            step_num=step_num,\n",
        "            verbose=verbose,\n",
        "            use_broadband=use_broadband,\n",
        "        )\n",
        "        metric = get_metric(transmission)\n",
        "\n",
        "    if use_penalty:\n",
        "        penalty_weight = 1.0  # np.minimum(1, beta / 25)\n",
        "        density = get_density(params, beta)\n",
        "        penalty_val = penalty_weight * penalty(density)\n",
        "\n",
        "    return metric - penalty_val"
      ],
      "id": "155daa5c"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [],
      "source": [
        "grad_fn = ag.value_and_grad(objective)"
      ],
      "id": "276fd7fa"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
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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\">13:13:58 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'bandpass_invdes_step_0'</span> with resource_id             \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-200f2763-0be0-42d0-b12f-1c737454c484'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
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        {
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          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </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-200f2763-0be0-42d0-b12f-1c737454c484\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-200f2763-0be</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-200f2763-0be0-42d0-b12f-1c737454c484\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">0-42d0-b12f-1c737454c484'</span></a>.                                         \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>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",
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        {
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          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:14:01 UTC </span>status = success                                                   \n",
              "</pre>"
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        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
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              "</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\">13:14:03 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:14:04 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "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\">13:14:22 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.062</span> for the whole batch.                \n",
              "</pre>"
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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>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
              "</pre>"
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:14:23 UTC </span>Batch complete.                                                    \n",
              "</pre>"
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          "data": {
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
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              "</script>"
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        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(640, 320)"
          ]
        }
      ],
      "source": [
        "val, grad = grad_fn(params0, beta=beta, verbose=True)\n",
        "print(grad.shape)"
      ],
      "id": "3a823116"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.07879823629857143"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "np.float64(-0.7059608838160982)"
            ]
          }
        }
      ],
      "source": [
        "print(np.linalg.norm(grad))\n",
        "val"
      ],
      "id": "f9177483"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Optimization\n",
        "\n",
        "Now that we have a function to compute our gradient, we can use an open\n",
        "source gradient-based optimizer to perform inverse design of our device.\n",
        "\n",
        "In this case, we use Tidy3D’s built-in Adam optimizer, which performs\n",
        "gradient-ascent with some extra terms to improve the performance and\n",
        "convergence."
      ],
      "id": "4a47ed83-2988-4f3a-9a51-3994c3917618"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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nH0Mwx2HysR3pVByZUzF7TnCe2cA+u3qTc2crggXuTMYTzsfzip87/r+Fc2eX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\nQ5IAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 1\n",
            "    beta = 1.0000e+00\n",
            "    J = -1.0779e+00\n",
            "    grad_norm = 2.7158e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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8qeFXgxOlYiM9wB2lNcOSe/cq8E7C9k39eL1wcdTzSgCVi1VimNx9pDbuW2md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\nRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 2\n",
            "    beta = 2.4412e+00\n",
            "    J = -8.2617e-01\n",
            "    grad_norm = 6.2688e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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GeU+vDeNEBYy9wy7ejRF1aIc4qRNNuN94i4S4MCL39/czAF0sFhNrR/44/yjU9bNtrQAK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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 3\n",
            "    beta = 3.8824e+00\n",
            "    J = -7.2157e-01\n",
            "    grad_norm = 6.7325e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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GxxDmig74q1ev7O3bt3ZycmKHh4fWaDSsUqlkwqIiL6SNBUOoxMXFhV1eXrozCImmGgx9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\n9v8BQoZMxaGOFcIAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 4\n",
            "    beta = 5.3235e+00\n",
            "    J = -4.8795e-01\n",
            "    grad_norm = 5.5844e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Er6nqe6pt0lTU93VDXl1ddRRKaTQaGBwcRC6XszjCk5MTy9pgZSyNUvA8sxbu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\nbCGAewAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 5\n",
            "    beta = 6.7647e+00\n",
            "    J = -4.3462e-01\n",
            "    grad_norm = 4.1463e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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uF05OTiTGb25uTuaNlgS1KAopHZZjJRS1dsS/+Xozs9QKk9Nj0mo9aKHO8Cle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\npBzqupCfpvpjssje3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sDz83Pkcjl8+/YNhUIB7XYb4+Pj0iavUqkglUrh58+fODw89PXz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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 6\n",
            "    beta = 8.2059e+00\n",
            "    J = -2.6677e-01\n",
            "    grad_norm = 3.4538e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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du/jRj36Eu3fv7qmqaTehaomBgQFcu3YNly5dgs/n42oHcknX1tYQCoUAAF6v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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 7\n",
            "    beta = 9.6471e+00\n",
            "    J = -1.5161e-01\n",
            "    grad_norm = 1.9110e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ToaWlBZ///OfR1dUFsViM+vp6VFZWQqFQsHfavXs3LBYL/vZv/xYjIyM5y9qn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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 8\n",
            "    beta = 1.1088e+01\n",
            "    J = -7.0213e-02\n",
            "    grad_norm = 2.2292e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ZarVieHgYN27cwAcffICGhoa76v0TDQ6Hg4yMDKSnp88T241OTJB67ImJCcqT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\nAaKjU8sebpeAAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 9\n",
            "    beta = 1.2529e+01\n",
            "    J = 3.2715e-02\n",
            "    grad_norm = 2.5453e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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RUFCAjRs3IiMjAxKJZNJ7uQNZoHPnzuH73/8+Ll68OOVTbqbgcrmQy+XYsWMHvv/974/R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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 10\n",
            "    beta = 1.3971e+01\n",
            "    J = 1.2102e-01\n",
            "    grad_norm = 3.5265e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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KiK+//hoFBQXQ6/W/+TImNHXUy8uLjUWmZXG5XC6rpc2ePRvjx4+Hn58fbDYb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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 11\n",
            "    beta = 1.5412e+01\n",
            "    J = 2.0709e-01\n",
            "    grad_norm = 3.9432e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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yWRO7M9MXvZly2RGICPv378dtt92GmpqaPm2LM8HhcCCRSCCRSKDX66HX61ts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Li7u3c6IL75GjGZTCgtLcXevXuxefNmnDt3DnV1dW161TkcDvz8/HD99ddj/PjxCA8Ph5eXF7y9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\nIjLEACUiMsQAJSIy9AvJIi+uOZq1VQAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 12\n",
            "    beta = 1.6853e+01\n",
            "    J = 3.1160e-01\n",
            "    grad_norm = 4.6023e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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9faFQKDg2eE9PTwQGBsLd3R1CoRBqtRrnzp3Dt99+i3PnzkGv13Pv5/F46Nmz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\nAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 13\n",
            "    beta = 1.8294e+01\n",
            "    J = 3.7501e-01\n",
            "    grad_norm = 9.8565e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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8fHwQEBAAR0fHOsmSK4eHpKSkYPXq1di1axfy8/PB4/EQHByMFStWYNSoUWap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\n9fVFXFxcnc/lTFJnzpzB+PHj8eabb6Jdu3bg8Xgtro0+DG5NaDQaXL9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gEAjg5OQER0dH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\nTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 14\n",
            "    beta = 1.9735e+01\n",
            "    J = 4.5263e-01\n",
            "    grad_norm = 8.3968e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AQN9++61ZQvG479ZqtaTVasvp4soO+JKSEkpOTqabN2/S7du3KTs7u0Z274YK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\ntcACCyyoJ/4PozKdVxFhwdIAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 15\n",
            "    beta = 2.1176e+01\n",
            "    J = 5.1848e-01\n",
            "    grad_norm = 5.1066e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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dOVC+H6sTYiUlJXTw4EHq1KlTvaLCOBwOLVq0iDQajdHaq9Vq6fjx4026OfJ4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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 16\n",
            "    beta = 2.2618e+01\n",
            "    J = 5.4524e-01\n",
            "    grad_norm = 8.4255e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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GCoUCKSkpuHv3Li5fvoyYmBhkZmaiqKioVoXSmiqOHz+Or7/+Gp988olRS2no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\nDDPMqCf+D/44szeYlNVFAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 17\n",
            "    beta = 2.4059e+01\n",
            "    J = 5.9203e-01\n",
            "    grad_norm = 3.9332e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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DYG1tXes8JSKwLIu0tDScP38e0dHR2rkoEokgkUhgb2+P4OBgtG/fHo6OjgabMzKZDCNH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\nDRLcb29vTydPnjSIL1TTz3FxcbR//346cOAAXbx4kc6ePUtLly6loKC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iWol2GjKOKSkp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\nAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 18\n",
            "    beta = 2.5500e+01\n",
            "    J = 6.0943e-01\n",
            "    grad_norm = 5.6999e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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PpaWlSE9Px6ZNmxAQEACxWAyBQABra2t8+OGHyM/Pb1TERkFBAY4cOYL58+dj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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 19\n",
            "    beta = 2.6941e+01\n",
            "    J = 6.4244e-01\n",
            "    grad_norm = 4.4257e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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YJKCy0QzppVIpzZw5k5YvX17Bc0UgENCbb75JX3/9Nbm6uhJRxXwyGgDQlStX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\nAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 20\n",
            "    beta = 2.8382e+01\n",
            "    J = 6.6747e-01\n",
            "    grad_norm = 3.3047e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Dw8vs65aUlOCnn35S6///ujAMg//97386H8M6M6TPy8uj6dOn086dO8t4sxD9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\nQI0YMWKkhhgVqBEjRozUkP8DwnA36Ah/CokAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 21\n",
            "    beta = 2.9824e+01\n",
            "    J = 6.8432e-01\n",
            "    grad_norm = 3.9692e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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DAoBkMhnt2LGDPv/8c8rNzTV0kQyOSCSiNm3a0NixY6lLly7k6upa5goDL92TU1JSKD4+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\niBEt+T8D79/lsfH7cwAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 22\n",
            "    beta = 3.1265e+01\n",
            "    J = 7.0073e-01\n",
            "    grad_norm = 2.1632e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LM3WRTI5QKKTw8HAaM2YM9e7dmzw8PHT2WzxzZywsLKS4uDiKjY0lqVRKHMcRx3HEMAxJ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\nnMacaM+ePQgJCTFqDiU7Ozt8/vnnuH//frk81YZAV+ALpVIJhUJRrg7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          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 23\n",
            "    beta = 3.2706e+01\n",
            "    J = 7.1423e-01\n",
            "    grad_norm = 3.6236e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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O0dixYykjI6Ohi9PgEAqFFBwcTOPGjaMBAwZQs2bNtI5bAMSyLBUUFNCtW7coMTGRSkpK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\nN0u7Bkb87hwAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 24\n",
            "    beta = 3.4147e+01\n",
            "    J = 7.3445e-01\n",
            "    grad_norm = 2.5518e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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UCmFlZQUrK6sKz4YZhsGsWbMqZbhRqVSIjo7GnDlz4Ozs/NoayoqEz+fjzTff\nxJkzZxAVFYWIiAicPHkSCxcuxKhRo9C4cWPY29vD09MTEyZMwK1bt3QaE7/++muFdWAYploGysHB\nAf7+/ujQoQMCAwPRtGlTNGnSBAMGDMC5c+f0sl1lWRbx8fGYMWMGmjVrBj8/PzRu3Bienp56v5OQ\nSqWYOHEirl+/jujoaNy6dQsfffRRjciDhg4dynlSu5ehFwOqVCoxb968SgeGjY0N5s2bhytXruD2\n7du4efMmbty4gfv37yMzMxNKpRIqlQppaWmYO3eu5iZR38Lj8TB+/PgKb9q5hEKhwOTJk/XWFnNz\nc603ziz7PNf8mjVr4O3t/Z8nF1FnkVU7blekDzc3N5w4caLG4+K3337TuW5CoRDjxo3DnTt3IJPJ\nIJfLIZfLIZPJUFxcrDnz1hfU5/DFxcUoKipCUVERnj17hpUrV8LCwkKv/aJOlWJtbQ2JRFKjcapm\nd3olV6B5eXkICgqq9gARiUQQCAQQCASwsLBA8+bN0bt3bwwaNAj+/v4G27q7urpi4cKFZfLE6BPZ\n2dlo3bq1Xtvk4+ODc+fOobS0VMMF+ddff6FTp04GPRJ5XcTd3R3Xr1+v0fg4deqUTqt7gUCAuXPn\n1jmPAfV2+pNPPjH6x7dBgwb48ssvcfjwYRw6dAhbtmzBhg0bcPr0aYMsgvRiQEtKSjBmzBijD3Y+\nn4/AwECMHTsWISEh6N69OxwdHSEWiyEUCiEWi+Hs7Iy+ffti5cqVePTokUFzuhcVFekl98zLYmdn\nh549e2Lo0KEICAjQK1nuf0GCgoIQFxdX7XFy8+bNGnstCAQCzJo1S++0eLqCZVkkJiaiadOmRuuH\nTp06ISIiooz/p6F9QfV2Bnr37l00a9as3JdXzcmnb+VaWFhg6dKlZfze1E7u4eHhCAsLQ3h4OJ48\neWIQMuOK9PTdd9+ZVoKvoHTv3h3h4eFVnj2yLItz587VKLrO0dERS5curVO8CNrAss/zfXl6emoW\nJE5OTujbty+GDh0KDw8PvY3tFi1aaIynMaG3WHgAlJCQQHv37tVQ1VlZWZG1tTXx+Xw6e/YsnT59\nWi8uEg4ODvTtt9/S2LFjNYw0dRUZGRk0duxYOnPmTJkYZj6fT9bW1iQSiUihUFBubq7B3UlMqBy+\nvr702Wef0eDBgzXuSGrXG/xLo5aQkEDvv/8+/fPPP1W+z9ramkaOHEkzZ86k5s2bE5/Pr7Px+mqw\nLEtPnjyhW7dukYODAzVq1Ijs7e2Jz+dTeno67dq1izZs2EDPnj3jLEbfzc2N9u7dSx06dDC6fvRO\nJgJAo7gXaaSSk5Np4MCBdO/ePc7K4vF41KZNG1q+fDl169aN+Hw+Z++uLvAvd2FSUhI9efKE5HI5\n+fj4kKenJ0kkEq28kikpKbR27Vr6+++/SalUUsuWLal3797Uo0cPDRHJb7/9Rj/++CPl5+cbvE3/\nJZibm1OjRo2IiOjhw4dVEtyIxWIKCAigPn36UIcOHcjFxYWKi4spPDyc7t27R8ePH6eEhIQqjYeX\nlxdt3LiRevToYRBaPEOBZVlKSEigw4cP07Vr1+jevXuUnZ1NmZmZOhlUhmFo0aJF9PnnnxtlfpeD\nsZa+KpUKQ4cO5WxJ7+zsjMWLFyM1NdVoy3qWZfHgwQOMGzcOdnZ2msyXVlZWGD16NCIjIyuMoVcq\nlSgsLERhYWE5n0O1X+LixYtN2TP1KI6Ojvjpp5+QmZmJlJQUvPPOO9W+JGEYBiKRCFKpFGKxuEZb\nVz6fj23bthk0wWBFUPsFP336FOHh4YiMjNTkTeLivYWFhXj06BGWL18ODw+PGveRQCDAli1bjL51\nV8NoBjQ/P5+TDJEMw6Bz5864c+eOQS+AXoQ6VO/kyZOoX79+hXVt0qQJ7ty5o1Md1WFsrxr70asi\nYrEYn332mebmNi8vD1OmTDHIeb2trS1iY2P1MDKrHlMvSnZ2Ng4cOIDhw4fD09MTUqkUFhYWaNGi\nBWbNmoU7d+6UIcipTbkqlQr37t3DwIEDa7womDFjht7dt6oLvRtQbbdj6ogCLm6Du3fvjmfPnhl1\n1SmXy7Ft2zY4OTlVWd+OHTvqvEpWKBSYMmWK0Y3N6yj169fHjh07EBUVhePHj2PcuHEGi/f39vau\nVtQYF1DPwdzcXISGhuLkyZPYv38/PvroIwQEBFRqzJydnbFs2TKt2Wl1rUtBQQH279+Pt956C61b\nt65WRlAzMzN89dVXePLkCeRyuWZlm5KSguTkZBQVFRlsMaXXS6T8/Hy6du0aZWVlkUAgIDMzMyot\nLaXLly/T1q1bKTc3t1ZlWFtb05kzZygwMLBaaRfUaSkEAoEmpvbFc1mlUkklJSWUlpZGOTk5ZGVl\nRa6uriSVSjXxty9eEgCgxMREWrVqFf32229UVFRUZZ0ZhqH333+fvvnmmxpfcAGgr776ihYvXlyj\n50yoHGq+BRcXF1IoFJSamkqFhYUGK9/Ly4uuXLlCbm5uei9LpVLRH3/8Qd999x09fvyYiouLa3Q5\nKRQKafjw4bRixQry9PQkIuLkvFZtLyIjI+mLL76g06dPU2WmiWEYcnNzIwcHByJ6nrZEJpMRy7Jk\naWlJbdq0ocmTJ1O7du30elaqFwMKgG7dukVz586lGzdukFwuJ4ZhSCAQEMuynCUqa9WqFZ09e5Zs\nbGy01gEAZWZm0tGjR+nAgQMUFRVFSqWS+Hw+OTs7U7t27cjDw4OEQiEVFhbSzZs36cGDB5SXl0cl\nJSUkEonI2tqaAgMDKTg4mDp16kSurq5ERPTkyRP6559/aPv27fT48eNKO/tlODg40Pnz56lp06Y1\nJvtYvnw5LVq0qEblmVC34eLiQtevXycvLy+9lgOAwsLCqF+/fpSamqrzexiGoRYtWtDs2bMpODiY\nrKysSKlUUmZmJj179oyKi4vJ3NycvLy8yNHRkczNzUkkEmmeraqOkZGR1LVr11oT+tjZ2dHnn39O\n06ZNI4lEUqt3VQiul7QsyyI2NhYBAQF63/o0aNCg3PZdfVj95MkTrFixAk2aNKnyjKU6FwV8Ph+2\ntraoV68e6tWrB2tra52jMHg8HpYvX17jLYZCocCMGTOMutU1CfdiZWWFmJgYrqdiObAsi61bt3IW\nPSQUCuHo6Ag3Nze4uLjA1tYWZmZmEIvFMDMzg52dHTw9PTF06FCsW7cOT548qdbZZUpKCmdE6mZm\nZli9ejVKS0v1olNODaiaWWjgwIEGCfHi8/mYOnUqoqKikJKSgri4OPz999+YNGkS6tWrV6fJMYYM\nGQKZTFYj3V67dg316tUzet1Nwq2IRCJcu3bNIOQ1tYnLr43w+Xy4uLhgwoQJOHLkCNLT07Xe7CuV\nSmzcuBFisZizsi0sLLB27VoUFBRwrmNODejMmTMRFBRk0PhYHo8HOzs7+Pj4wMbGxmCkI9UVR0dH\n1K9fv9wq2NnZGY8fP65Un+oLqkePHmH9+vVGI7g1iX6FYRhMmzatRh9UXcCyLLZv3270+HWRSAR/\nf398+OGHuHDhAmJjY/Hs2TPcv38fX331FWxtbTkvUywWo3fv3pgzZw6nOuXUgHLZ4NfB3zEoKAg3\nb97E06dPMW/evDIrYh6PhwULFpTb0qhvSRMTE7F+/Xr06tULDg4ORh/0xpZ69erhrbfewvTp09Gm\nTZvXYny8KBKJBLNmzcK1a9eQnp6OkpISDSMZVzHeXG/huRCBQAAnJyc0aNAAlpaWBqkbl6hzBlQg\nECAkJAR79+5Fv379jN7BugrDMPj88881E+D27dvlMh+amZnhyy+/RHJyMkpLS1FaWoq4uDh8/fXX\naNiwYZ0a6MYSkUiE4cOHIzIyUqPLrKwsLFmyBFZWVkavH9diZmYGPz8/BAUFoWPHjujRowdmzJiB\nrVu34vjx44iIiEBGRgYKCgo0dHbVcdlRB2tMnz7d6G00tnBq8zh9GQeNa9CgAeLi4qBSqfDrr7++\n0kQbffr0QXx8PLKzs7Fs2TKtbeHxePD29kbHjh3Rrl07uLu7mwwnPf8AeXt7Y8OGDcjPzy9nIEpL\nSzW0fNbW1jAzM4NUKoVIJHpt9ae+tPHx8YGfnx+aNm2KwMBAvPfee7h06VKlFzTqQA9dcy69TsKp\nzeP0ZZVU2sLCAk5OTnB0dISZmVmFv3NycsLevXtx48YN9OnTx+jKro3w+Xw0aNAAzZo1q5aDcE3E\nUKxWxtCZl5cXFi5cqPmQVgR19Ex0dDTCw8Nx9+5dHDlyBPPmzYObm5vR22JIsbGxwZw5c5CYmFju\nSEgmk2HPnj06pUt+HYVTm8fpy7RUlmEY9OvXD9evX0daWhpSUlJw8uRJBAcHV7hSsLS0hK2t7Wtp\nILgSNYu6sevBlZibm6NVq1ZYtWoVEhISdE7FoI50O3/+fKVhta+j8Hg8tGjRAps2bUJMTAyePHmC\nY8eOISQk5JXOosq1cAlOHem1OcnWq1ePTp8+XSbLHgCKjo6mXr16UWJiIlfFGwTqgACVSsUZPZeu\n9SCiV8qh3srKirp160YtW7YkPp9PJSUlJJFIyMHBgZo0aUJt2rQhCwsLYhim1tEtLMvSn3/+SZMm\nTapWhNjrBIFAQFKplHg8HpWUlJBcLq/2s3w+n+zt7cnW1laTlbUqRioej0dOTk5kY2NDKpWKnj17\nRjKZrLbN0Bu4nDN6T2vs6OhI7u7uZSYEwzDk4uJCzs7OBjWg6vAvHx8fsra2poyMDIqOjq404sHW\n1pY8PT3JxcWFOnbsSH5+fmRhYUElJSV0/Phx2r17t0HD/tR4lQwnEZGFhQWtWrWK3n77bU1Uihrq\nscElhRuPx6Nhw4bRtWvX6Mcff3zl9FUbKJVKKigoqPQ3DMOQj48PBQUFkY+PDwmFQrKzsyM3Nzdq\n0qQJubu7k1wup6tXr9KGDRvo/PnzZQypQCAgHx8fatu2LQ0cOJBatWpFbm5uVFpaSidPnqSFCxdS\nbGysvptqfHC5nCUty2V3d/dy/o4syyI0NLTcrbQ+hGEYWFhYoGPHjlizZg1iY2M17iGlpaUICwvD\n559/jjZt2sDCwgJCoRD16tVD37598fPPP+Pu3bsoLCzU6k6iUCiwY8cOODs7G31bog+98fl8CIXC\nWl/KMAyDKVOmQCaTGZT0hWVZZGRkoGvXrkbXZ10SPp+PSZMm4enTp1rH9ctnqEVFRTh9+jTmzp2L\nsWPHYsWKFTh9+rSG5k7bM+fOnauz84JL6N2ACoVCXL58uczvCgsLMXLkyGo1VigU1vgmns/nw9/f\nH9OmTcNff/2Fe/fulckx/TLU9GVhYWG4desW4uLiqk2XpVKp8Ndff3EWemYoUfNX2tnZwc3NDV5e\nXvD390ffvn0xffp0/PHHH7h27Rpu3LiBvXv3omvXrjoZUoZh0Lp1a8TGxhqNavD27ds6cU++jsIw\nDN566y3k5OTopMvq9qFKpcKmTZs4vzzlQriE3g2oQCDAhQsXNL9hWRZ79uypMlRLJBJh8uTJuHjx\nIjZv3lztEEZPT0+sXbsWaWlpBpuwSqUSp06dQtOmTeu0Cw3DMDAzM0Pbtm2xcOFCXLhwAdHR0YiP\nj8fTp0+Rnp6uWSW+vKJIT0/HkCFDqny/VCqFlZUV7Ozs4Ovri+nTpyMqKsqo3I3qMafrjsfFxQXj\nx4/HJ598gg8//BAjR46Eh4dHjVPt1gVp3749njx5YpD+KC4uxpw5c+pcdCCX0LsB9fHxwdOnTzW/\nKS4urnIiCoVCLFq0SBPaplKpqky+xjAMAgMDcevWLaMwe7Msi+joaEyYMKHO3XhKJBIEBgbis88+\nw9WrV5GTk1NjvkSWZREeHg4vLy+tZbi7u2P+/Pm4fPkyHj9+jKdPnyItLa3OEN/K5XJ88MEHNfLs\nYBgGvXr1wv3796FQKDQfFrlcjqSkJJw7dw4rVqzA/Pnz8d5772HcuHEIDAyEra1tnTKsPB4PNjY2\nGDVqlEF3Amo3s1mzZukU225paYnGjRvDy8urSu5gdRttbGyq7GMuoVcDKhQKsWrVqjIGLT8/H507\nd66wcQKBAB999FG5uOCoqKgK3Xb4fD769+9vtG2iGizLoqSkBEePHkXfvn0NcsZblQEIDAzEnj17\nkJ2dXWuSWZVKhZ9//rlMP0gkEowYMQKRkZGcsJXrCyzLIi0tDZ06daq27vr27Yvk5ORKj37UolQq\nUVpairy8PNy9exfTpk0zWv9bW1trHOxXrFiBn376CXfv3jX4GbRaR/n5+fj4449rRKDetGlTnDlz\nBjk5OcjIyMDvv/+ORo0aaf0wOTk54fPPP8eDBw8QERGBhQsXVhqlxiX0akAHDhxY7uxRpVJh0aJF\nWhWhPtzWFnmSlZWFwMDAcs9IpVLMmTMHmZmZdWbysiyL4uJinD9/HtOmTYOnp6fBVyQMw2DIkCFI\nSEjgTC9qp+ytW7eiV69eGDFiBPbt24eioqI6o/vKwLIszp8/X2XmALXxTEpK0jn9SklJCXbv3m3Q\ns1exWIyRI0fi6tWrKCoq0nzQahtDX1uoGfDffvvtas2DBg0a4MaNG5o6q+sfHR2NyZMnw8nJSUMv\nOWTIENy8ebNMWxUKBfbs2VPhvQSX0JsBFQqF2LNnT7mOU9+MjhgxosyWXCQS4X//+x+ys7O1drZK\npcLSpUvLPOPj44Pff//daHndq4J6ZRIfH481a9agWbNmBjOkffv21UuCPfUgLS0t1WxrXyUolUps\n3boV1tbWWvVmaWmJ2bNnIz09vdZtU6lUuHnzJoKDg/UeFGJlZYUff/xRk9OproFlWSQkJKBLly6V\nzoGGDRviwoULWtugNo4RERE4evQobt++XS4B44u/PX78uNa7Ey6hNwMqkUhw9OjRChuXl5eHXbt2\nYfTo0Rg3bhz+/vvvSrcY6meWLl2KwYMHY/HixYiLizP617U6UNcxLS0NS5cuhYODQ60nTGWDsEuX\nLga7KHgVoVAo8Ndff6FVq1YQi8UQCARwdXVFSEgILl68yOmHQU1+snz5cr3xHDg5OWH79u11+ggF\n+P97gtmzZ6NLly4IDAxEQEAA2rZti169euGTTz5BdHR0tYhRqjPvWZbF77//Xs4TgEvoNRJp2bJl\n9Mknn5TJO/QiXi66Oo7U+DdVBxfRKsYAy7J07do1WrhwIV2+fLlG+WgYhiFfX1/q2bMnNWjQgNLT\n0ykmJoZu3bpFWVlZJBaLqW/fvrRs2TKqX7/+K6kfQwEAZWVlUXx8PKlUKnJwcCBPT08SCASc6009\nZmNjY2nfvn107do1io+Pp5ycHJLJZJpooZqMBaLnUUMBAQH0zTffUPfu3SucZ3UJAEilUpFcLqfS\n0lICQEKhkCQSiV50X1hYSN26daPbt2+XqQNX0KsBbdy4MZ09e5ZcXFxMk/kFqCfvli1baOPGjfT0\n6dMqJw+Px6PBgwfT999/T15eXhp9KhQKSktL0xhQLy8vkkqlJn3XUQAguVxOhYWFVFJSQkqlkoqK\niuj8+fO0Y8cOunXrVqU5wxiGIXNzc2ratCmNHj2aQkJCyNnZ2dTfFUCpVNLUqVNpy5Ytmr+9MgaU\nx+PRjz/+SDNmzDB1sBaoVCpKTk6m/fv3065duygiIkJr3Dafz6ehQ4fS+vXrydHR0aTL1xDqj+qv\nv/5KP/74I6WmpmomOo/HI1tbW2rVqhX17NmTevXqRT4+PmRlZfWfHgsvmq6K9FBaWkojR46kQ4cO\naX2uttA7mUiPHj3oxIkTZVKLAqCioiJKT08noVBILi4uNU7x+zoBABUWFlJoaCgdPXqUTp06RVlZ\nWaRUKsnGxobGjBlDs2fPJjs7u//0hHndAYBYlqXIyEg6dOgQhYWFkbW1NbVs2ZK6d+9O3t7eJJVK\niYhb3oBXDer5cu7cObp16xb5+vpSjx49yNXVtZxeiouLKSgoiCIjI8s8z2VlOANpOeDu3LkzFAqF\n5jdKpRKnT59Gjx49YG1tjXr16mHChAm4f/++URzg6xLUt/ZFRUV48uQJIiIikJ2dXecvB0zgFizL\nQqVSQaFQlHHPMeE5MjIyMGrUKA15Np/PR9OmTXHkyJFyNqSwsLBcLjEuoVcDyuPxsGTJkjL+XEeP\nHtVKMuDp6Yldu3bp3VioB2dSUhIiIyPLROW8LCqVCnK5XJM+QRtxggnVx8u61dVH8eX+MRmZ2uNF\nnWZlZSE0NBQnTpzAsWPHcPPmTa3uUSz7PHfXxYsXER0dXetAjRfrUdF7FAoFFi1apNUtzNPTE/fu\n3SvzrFwux/Dhw1+9W3iGYWjAgAG0detWzdYzKyuLevXqRXfv3tX6vK2tLf300080cuRIvWxRAJBM\nJqPly5fT7t27KS8vj5ydncnX15cGDhxIHh4eJBaLKTc3l6KioujixYuUmZlJcrmcBAIBOTg40KhR\no2jIkCFka2v7n95G1QQASKFQUFhYGF2/fp0uXLhAWVlZZGZmRp06daLg4GAKDAwkoVBYpU4BkFKp\npDNnztCmTZsoKSmJpFIpjRgxgsaNG0fW1tamfqkhAFB+fj6dPHmSdu/eTVFRURQfH08ymYwAkLm5\nOXXq1Inmz59PnTt3JqFQSDKZjHbs2EHfffcdPXnyhFxdXWnVqlU0YsSIWukf/97S83i8cp42ACgx\nMZE6duxISUlJWp+fNGkS/fTTTyQQCDTPXLt2jUaOHEnJycmav3EGLq0xvWDlW7dujadPn5ZZff79\n99+QSCSV+rT5+vpq/Du5Bsuy2Lx5c4UhZSKRCGZmZpXG3PP5fPTo0QPx8fGmFU81wLIsIiMjERIS\nAhsbG606tbGxwYwZM5CSklKpTtUO/F9//XW5MEk+n48RI0YgOzvbgK2ru3h5N1XZ7xITE9G/f/8q\nST9sbGwwadIk/PTTTxgxYkS5udyyZUudWJ5erItcLsfDhw+Rl5endcX7888/Vzo/GzZsiNzc3DLP\nKZVKHD16FC1btoRUKtW5ftqgFwMqEomwffv2cow+P/zwQ7UcxL/99lu9GCe5XI5u3bpx4rw8btw4\nyOVyzuv4OoFlWcTGxiIwMLBKB3I+n48JEyZUSTt44cKFCvOG8/l8fP/99//5s3TgudF49OgRoqKi\nKk2PolAo8L///a9GDv4VGTAzMzOcPXtW57mrjlZauHAhbt++Xe49SqUSH3zwQaV1c3JywsOHD7W+\nOyUlpRy1Zm2hF89ba2trCg4O1nojVhUA0IkTJ/SSLkOdooALHDt2jOLj4zl51+uM7du30927d6vc\nNqlUKjp48CDdu3evwt8AoAMHDlBOTk6l7/ivpfB4GQAoPj6eJkyYQO+++y49ffq0Qv2npqbSiRMn\narStrchnWSaTUWZmpk51VuPJkyd06dIlSkhIKFcnpVJJUVFRlT5fUR3UWTA6duxYq/q9DL0YUKFQ\nSGKxuMzf8O/ZVXVQWFiolxQMLMtyZpjz8/OrTJvwXwf+zX1V3b6UyWQVGkc1UlNTK/33pKQkKi0t\nrXYdX1ckJydTTEwMxcXFUXp6eoW/KywspNzcXM7Kre38ksvlVFJSQgqFQuu7q0qfw7Ks1mfV4Pp8\nXC8GVC6XlzMuDMNU29fT2dlZL2FpAoGAM39TJycnsrOz4+RdrysYhqHg4OBq67xevXrUqFGjSt/X\nuXPnSsdG48aNyczMrMZ1fd3QpEkTGjZsGA0ZMoQaNmxY4e8cHBzIzc2NkzLVCRdrAxcXF/L19dUa\nXcXj8cjBwaHS53k8XoXjDf+G1HIJvRjQ3NxcOnjwYLmvkbm5eZVfAHXUjT5uUoVCITVv3rzW72EY\nht566y3y9PTkoFavN0aOHEkhISFVTiwrKytasGAB+fj4VNr3w4cPp/bt22v9N7FYTGPGjCGJRFKr\nOr/qYBiG7O3tafXq1bR69epKAzDs7Oxo5MiR1V6w8Hg8MjMz0/p7S0tLcnd3r1Xd69evT6NGjSJf\nX99y/yYUCqlJkyaVPi+VSsnR0bHM39S73xs3btAPP/xQq/qVA5cHqvTCYW79+vVx586dMrfwZ86c\nqZKtvUuXLnrj9mRZFidOnCh3G8wwDMRiMRwdHeHm5gZLS0utydTUCeqmTJliuu2tJtRckD/88ANa\ntGgBsVgMHo8HhmHA4/EgkUjQuXNnHDhwoFrs9SzLIioqCj179tR4UzAMA0tLSyxcuLAcEbcJVSM3\nNxfTp0+vkLBcrWMfHx+sWbMGV69exbJly8rxqnbr1g1FRUW1qotKpUJ+fr7WscCyLPbu3VspMXOj\nRo2Qn59f5hmZTIalS5fCzs4OHJs8/bIxBQQE0L59+6hBgwbEMAwVFBTQ8OHD6dSpU1qf9/Pzo23b\ntlFQUJDefPmUSiUdPHiQdu3aRRkZGeTp6UlNmzalXr16kaOjI/H5fJLJZJSQkEBXr16l1NRUksvl\nxOfzydHRkQYPHkytWrUisVhs8jesAQBQRkYGxcbGUmhoKGVkZJCzszN16NCBGjVqVCP/TQCUl5dH\nly5dogsXLpBYLKaBAwdS69aty6VMNqFq4F+Ck5s3b9L+/fvp5s2b9PDhQ00+eRsbGxo6dCjNnj2b\nGjZsSDwej1QqFV29epVWrlxJN27cIF9fX/r222+pffv2tfYDVUPbe9LT06lr165aL5MYhqEPPviA\nVq5cqQkdZ1mWfv/9d5o5c6YmVz2HJk9/K1C1TJs2TeNWwrIs7t69i4CAgDKrO6FQiODg4DIrVn1C\n/VWq6Ev34u9UKpUmDbIp2oUbcKXH6vo6mlA9qMd7fn4+EhMT8fDhQ0RGRiI5OVkrRyrLPk95nJSU\nhNzcXIP0gUqlwsaNG7XmWAoICMDjx4/L1KOoqAitW7cu8zsuoXcykfbt29PFixc1B7sA6MmTJ/Tr\nr7/SmTNnyM7OjoYNG0bDhw//z0f34N9IqeTkZHr06BGlpqZSkyZNqFmzZv955p3/EtTjIC8vj8Ri\nMVlbW2sic0x47jmwZMkS2rx5M+Xm5pK5uTl16dKFli1bRi1atCijp7y8PGrZsiUlJCRo/sahydM/\nG1O/fv3on3/+KXPojH9ZZxQKhebW7L88OFiWpadPn9LJkyfpwIEDdP36dSoqKiKWZUkoFFLHjh1p\n1apV1LJly/+0nl534F+Wsv3799Mff/xBjx490tDYDR8+nNq0aaO5hf4vjwP8eykUHh5OMTEx5O7u\nTq1atSKJRFJOL4WFhRQQEEBxcXFlnucKejWgAoGAtmzZQmPHjv1Pd7g24N/48Dt37tDWrVvp6NGj\nlJSUVKEfXePGjWnXrl0UEBBARP+v64q6z6Tvuo2X+41lWQoPD6cvv/yS/vnnn3K+jEKhkBo3bkyd\nO3emQYMGUfPmzcnNze2VzczABVDFeSnRc9/ibt260Y0bN7Q+V1vo1YAGBQXRyZMnycbGhqsiXnng\nX1+0iIgI+uabb+jQoUPVdsj38/Oj1atXU7du3UgkEhHLspSWlkZ37tyhyMhIsrS0pN69e2tcgf6r\nE6u60Db09aUzdVksy1J+fj6lpKRQbm4uFRcXU05ODh0/fpyOHj1aZaAA0XNXIk9PT+rWrRtNnTqV\ngoKCiM/nm/pbC2QyGXXv3p1CQ0M1f3slDCjDMLR27doK2ejV23h11Ij6VruyQQCASktLqbS0lEQi\nEYlEoldq0ACg4uJi+u233+jbb7+lxMTEGr/DwsKCGjduTI6OjpSXl0dJSUmUlJRESqVSkzNpzZo1\n1KdPn1ciR44xoF79X79+nUJDQ6m4uJgaNmxIXbt2pXr16nH+8cG/t9wXL16kbdu20Z07dygzM5OK\ni4uptLSUlEqlzpPazs6Opk2bRvPnz38lzsnV816pVBLLspr8Znw+X5MTias2AKCEhATq1KlTmRBu\nLg2o3m7hzczMcPLkyQqzcsbFxWHu3Lnw9/dHYGAglixZUmkqWTXRwLBhw9CwYUP0798fR44cqbMp\njV+EmmUmNDQUgwcPrtSPjQvx8vLClStX6rxejAGWZZGTk4OPPvoIVlZWZQgyfHx8sGLFCmRlZXGm\nO6VSibCwMLz11luV+lnWRgQCAUJCQpCYmFin+5xlWTx9+hTLli1Dr1690LJlSzRt2hT+/v7o06cP\nVqxYgbi4uCrJYKrLMlVSUoLZs2eX4w7lEnozoAKBAFu3btXq+vDw4cNyrkw8Hg99+vQp54aghlKp\nxKxZs8o8Y2lpif/9739ITk6ukwOHZVkUFhbiypUrmDhxYoUsQvqQFi1aIDIyUm8BCXK5/JXMCy+T\nyfDRRx9BIBBUaIx69uyJqKioWrVN7eKzYcMGuLu7672/eTweOnbsiFu3blXKvmQssCyLx48fo0eP\nHhWyOTEMg8aNG+PYsWNajaj643f06FF8++23OHz4cIUfO7lcjqVLl2p1d+ISevUD7dSpU7mootLS\nUkyePLlCBfbu3VurQUxLS0OjRo0qHDh1acXFsiwyMjKwc+dO9O3bV28rj6qkTZs2uH37Nqf0bqWl\npdi7dy/GjBmDKVOm4NixY69M9I9KpdKaJ7wi3cXExOg0plQqFeLi4jBx4sQq+W+5FldXVyxYsABh\nYWHIycmpE+lgWJZFfHw8+vfvXy3aPA8PD5w4caKM/7hCocDJkyfxxhtvQCKRgMfjQSwWo23btjhx\n4gRKS0s15clkMnz11VcV9jOX0HtKj08++aTMBM7JyUFgYGCFymMYBsOGDSsXKnn//n2YmZlV+Fy9\nevWwb9++MvmXjIG8vDxs3rwZgYGBFa5yDCkeHh5Yvnw5oqOja71iVKlU2L17N6ytrTXvNzMzw7vv\nvouHDx/WaR5OlmURHR0NX1/fauuuV69eePbsWaXHSkqlEtnZ2YiNjUVYWBguXryIhQsXolGjRjXi\n2ORSGIaBubk52rZti5EjR+LDDz/EqVOnDObs/iJUKhVu3ryJLl261Egfbm5u2LRpE8LDw3Hr1i18\n8MEHFRJyW1lZYc6cObh+/TquXbuGKVOmVHpMxiX0Honk6emJJ0+eaH5TUlKC0aNHVzkAQkJCNMvz\n0tJSzJ8/v8oOsLKywhdffKEZKIYaLOoIjmvXrqFnz56VMmYba0K5urpi6NCh2LFjB+Lj42uck4hl\nWTx58gRNmjSp0FDPmjULhw8fxrlz53Dp0iVERERAJpPViRVQUVFRleNOm9569eqFsLCwMnmXSkpK\ncPfuXaxZswYDBgxAQEAAnJ2dq8xmYEwRCAQIDg7GjRs3DBbtp1AosHXrVnh4eOhUZx6PBysrq2qv\n4sVisdYt+8vCJfRuQIVCYRkWaJZlcfr06XIpGbQN3i5duuCnn37C3Llzyxz4V6X0Ll26YO/evcjI\nyNCsuqpDUqFLWKD6PPD333/XmiyvrgnDMPDy8sI777yDffv24cGDB0hKSkJGRgby8/NRUlJSxlio\nJSMjAyNHjqzyI6bOkigUCuHg4IABAwYYbNJWBKVSiVWrVul8eefi4oIhQ4bgs88+w9SpU9GhQ4cK\nV0N1Xby9vQ1y3KVUKvHrr79We94aUriE3iORLCws6Pz589S6dWvN30pLS+nDDz+k9evXc1V0OQiF\nQvLy8qKmTZtSz549qVOnTtS0adNyJCD4N2wuMjKSIiIiSKlUkqurK7Vr146sra0r9a/Dv25V69ev\npy+//JLy8/P11h59QCgUko2NDZmbm5NAICCRSEQ2NjYUEBBA/v7+ZG9vT2KxmFJTU2n79u107dq1\nCtnIK0Pz5s1p//791LBhQ4O72QCgM2fO0OjRoykrK8ugZddV+Pn50ZYtW6hdu3bVchvCv77Lcrmc\nAJTh1a3IRfHixYsUEhJCKSkpemlDbcChyePWHJMWa9+4cWOkp6eX+21YWJjBvuIMw8DW1hYDBw7E\nzp07kZiYiPT0dERHR2PdunXo0qULbGxsNKsriUQCHx8fzJw5E3v37kV8fDyys7Mhl8vLrMqysrLw\n6aefVknR9yoKwzAQCoUQi8W1PstjGAZTpkzRmhpX34iNjUWzZs2Mrs+6Jp6enli9ejViY2ORkZGB\n7OxsFBYWlrl0Um/Dw8PDsWjRIrRt2xZNmjTBm2++iRUrVuDq1avIzMzUEPKoj9suXrwIPz8/o7ex\nIuESel+BBgYG0qVLl8qxhKelpVH37t3p4cOHXBVfLYhEIrKysiKhUEglJSWUn59f6apKJBKRpaUl\nOTg4UGBgIHl6epKFhQUVFxfTuXPn6NatW9VOVfJfhqWlJa1atYpGjRpF5ubmGodqtRO1PiKniouL\nafLkyfTHH39w+t7XBQKBgKysrEgqlZKZmRm5u7tTixYtqHnz5uTv709ZWVl09OhR+uuvvygtLa1c\n6KS5uTk5OztT586dyc3NjYRCIT19+pQOHz5c69xI+gSHJk//ZCIODg506NChMjyBLMvS0aNHafTo\n0a9kAjCGYfSSs6kmUEduqDkbXwWYm5tTu3btyM3NjVQqFZWUlBCfzydra2vq0KEDBQcHk6enJyfG\nVKlU0tq1a2n+/PmV5sh5HWFmZkbOzs6kUqkoNTW1xjmi+Hw+CYXCMpGC1UFdmBfVAad15HI5SxUs\nmZs1a4aff/4ZV65cwblz57BgwQLUq1evwu2eu7s7fH1964QbUF0VqVQKOzs7o7nKcC08Hg9ubm54\n7733cO/evWq7XL182aXmet22bRvs7e2N3i5Dj4lRo0bh9OnTSEtLw7Nnz/D3339j4MCBeo9+e5WE\nU5vH6cuqqLg6lUNlv3F1dcXZs2fx5MkTDB8+3OjKro2IxWL06tULI0aMKJf+gAt5XYzny2JnZ4dx\n48bh2rVrFRpStQ9mbGwsjh49in379mHnzp34+uuv0bdv39fyXLoi4fP5aNWqFfbs2VMmtFn9QSks\nLMS6devK+O/+l4VTm8fpyzhonJOTEy5fvgyZTIbly5e/0kZi3LhxyM/Ph0KhwM6dO7WuAiwsLDBw\n4EDMnz8fH3zwAXr06FFpwMB/SWxtbTF79mwkJCSUcS9jWRZ5eXlYunQpPD0966zvJVfC4/EgEolg\nY2OD5s2bo2fPnhg8eDBGjBiByZMnY9++fZXySADP3YrWrFkDoVBo9PYYWzi1eZy+jIPGMQyDZs2a\nYdq0afD29ja6smvTjk8//VRzq3njxo1yvq/Ozs7Yv3+/xtlcvVo4deoUBg8ebLQQ0LokDMOgefPm\n2LlzJzIzM5GXl4cbN25g2LBhr50xEAqFcHNzQ+/evTF+/HhMmzYNH3zwATZu3IibN28iNjYW6enp\nKC4uRmlpqSYYojpgWRbZ2dkmjwSqwwb0VV4t6kN8fHywc+dOXLhwAcOHDy+XB2rdunUVkiYUFRXh\n6tWrWLhwIdq3b18nHZINKWKxGN7e3mjSpIlBSVkMJfb29tiwYQOePXuGwsJCKBQKzvNwKZVK9OvX\nz+htVYu5uTkaN26Md999F3PmzEHPnj316trIMAykUiknulSDUwO6Zs0a9O/f36BbKjMzM7Rp0wZv\nvvkmAgMD4eLiUo6+ypgiFothbm5e7uPi7u6O5OTkSvWpDhEtKCjA5cuX0atXrzrVNpNwIwzDYPHi\nxXrncVAqlRg8eLDR21qvXj1MnToVp06dQnZ2NkpLS6FUKlFUVIRLly6hZcuWnJfr5uaGpUuX4tix\nY5zqlFMDqt4mjBkzxiCrUYlEgrVr16KgoAClpaWQyWSIjY3Fzz//jG7dutXpLfDw4cNRUlJSI91W\nFotukldXxGKxQTLSKpVK9OrVyyht5PP58PPzw9KlSxETE1Pp5eDFixc5vfByd3fH+fPna3TkUV1w\neyCA/5/oL6cS1Ye0bNmyHB/gi64sZ86cQUhICOzs7GpdlkAgQIMGDdCxY0d06tQJPj4+Oq8GeTwe\nli9fXuPOVKlUmDt3rlEmgEn0J5aWloiJieF6KmodPxVRSeoiPB4PLi4u8Pf3R7NmzeDu7g5LS0tI\nJBJIpVI4OTmhZcuWePPNN7Fz506kpqZWy4hlZWWhQYMGnNTRwcEBhw4d0htTmIA4BsMw5OXlRTt2\n7KBFixbR6dOnqbi4mMRiMTk4OOjs3FtRWS+ne1X/t0Qioe7du9Mbb7xBUVFRdOLECbpy5QoVFRUR\nAJJKpeTi4kLNmjUjOzs7Sk1NpbCwMEpKSqKEhATKz88nCwsL8vb2ppYtW9LAgQOpSZMm5OTkRERE\nGRkZdPnyZVq3bh1dvXq1RtFIdnZ2NGTIEJ3a6+Dg8Mo4LJtQPUgkEhIIOJ+K5cAwDL311lu0b98+\nys3NrdV7WrVqRXPmzKEOHTqQo6MjAaC8vDzKy8sjhUJBDMOQpaUlubi4kIWFhWZeVpWyh4goLi6u\nVvVTl+Pt7U1r1qyh/v376y29DaeRSC8C/5IPxMfHk1wu14REsixLkZGR9Mknn1BYWFityjA3N6cD\nBw5Qz549q02IoFKpCADx+XyNUl80SCUlJZSdnU0ymYwkEgnZ29trTZeqfmdeXh5t2bKFli5dStnZ\n2VXWmcfj0dy5c2np0qUaQobqAgB9/fXX9Nlnn5kMKMdgGIYkEgmJxWIqLS2lkpKSCjOkcg0vLy+6\ncuUKubm56b0spVJJhw4doq1bt1JYWBjl5uZSaWkpKRSKahHFWFpa0rvvvkvz588nV1fXWkeM4d+Q\nXplMRgkJCXTt2jX64YcfKDw8vNLnzM3NqUOHDuTq6qrJNZaZmUlKpZJcXFyoTZs2FBISQl5eXvol\nsNHLurYKsCyL0NBQODo61nqJ3rRpU4SGhhqVzFepVOLw4cPw8fGpsr6dO3eu8vKoIqhUKnz00UdG\n33K+jsLn89GlSxfs378fJ0+exGeffWaQVBxEBF9fX6SkpHA8KiuG+ogrKSkJjx8/xoMHD7B+/XoM\nHDgQVlZWWu8vJBIJ3njjDRw6dIizPGQqlQpRUVH44IMP0KhRIzg4OFTrWMzDwwNHjhxBYWGh5qK1\ntLQU+fn5yMvL05CbGAJGMaDA89QQXLlUeHp64pdffkFeXp7ReCfVzNtBQUFaBwHDMGjbti0ePXqk\ncx1zc3MRFBRkdGPzukpgYCBiY2M1HK/r1683SEoOR0dHxMXFcTwiawa161xoaCg+++wzdOnSBb6+\nvmjdujVmzpyJgwcPIicnh5P5pTbgf/zxR419vXk8Hr777rs6k/3AaAZUqVRiyJAhnA1CoVCIHj16\n4Pz582XyoxgSLMsiKSkJixcvRvPmzeHs7AwHBwc0atQI8+bNqzBrotqBPjo6GlFRUeXySAHP9bV5\n82aD59j5L4lIJMJ7772Hp0+fIj09HV988UW1nfVFIhHc3Nzg4+OD+vXrw9rautqeKHw+Hxs3bqwT\nyeDUK7qioiLk5+drfFJrazhVKhXy8vIQFxeH06dPIyQkRKdwW7FYjAMHDhg9y4Eaejeg6q9NUVGR\npiOUSiVCQ0N1pvqvTGxsbLB48WIUFhbqu2kVtlelUmkM4oMHDypN7sWyLG7fvq3ZPpmZmSEgIAAf\nfPABLl68iIiICNy7dw8rV67kxJvAJJWLQCBAs2bN0K5du2pNcAsLC7z11ls4cOAA4uPjkZubi/T0\ndFy7dg2bNm3CG2+8US1SHGdnZ2zatMkoeYv0CblcjgsXLmDy5Mno1KkT7OzsahVBxjAM5s+fb/Tc\nZ2rozYCqVCpcv34db7/9Njp16oQOHTqgR48eGDRoEAYNGgRPT0+9ToLp06cjIyNDq4uTNjEG1Kle\nK/Lt5PP5GqNqivKqe+Lv74+jR4+WIdp+eazl5uZixowZ1eo/gUCAjh07YseOHSgoKKjzhlRNoHzp\n0iWsXbsWu3fvxq1bt5Cfn4+CggJcvXoV48eP55zbwc7ODkeOHDHq3FVDLwaUZVmcOXMGLi4uRhvc\nPB4PPXv2xPnz5zUdGhkZib///hs7duzAr7/+im3btmH//v24f/9+mXh0Q0GlUuHjjz82iHFkGMZk\nhDnUZa9evaqV9li9w6iJY7hQKMSgQYMqPPKpK1AqlVi9enUZjgdLS0s0b94cLVq00GsgS8OGDXHz\n5k2j60cvBrSkpASjRo0y+kAnep6p08/PD35+fnBycioXZsrj8eDg4IC2bdviu+++w9OnTw12QJ2X\nl4fOnTvrfbL7+/tjwYIFWLFiBd5++204OTmZjGktJDg4WMMQVR1ERkbCwcGhxuV069atzhpRlmVx\n/fp1TjxpdBV/f39cu3atTEoRlUrFOYdAZdCL965KpapWgjUzMzNycnIikUhEJSUlpFKpyMrKilq2\nbEleXl4kFAopPDycTp48ScXFxTrVJT8/v9K6sCxLmZmZlJmZSbdu3aJffvmFVq9eTX369NGb8+3L\n5esTb7zxBm3ZsoXq169PRM/9AKOiomjNmjX0559/UkFBgV7Lf93Qpk0b2rRpE3l4eFTbvzAnJ0en\nhIPnz5+niRMn0s8//6x/f8YaAABlZ2fT4sWLKSMjw2j1ePDgAQ0ZMoQGDx5MDRs2JCIimUxGLMtS\n06ZNafDgweVSCXEOfVhllmWxYcOGSlmwW7RogSNHjiAzMxM5OTnIyspCZmYmcnNzy5wpFRUV4ccf\nfzQoR6aHhwcePHig9y+YSqXC4sWL9Ua+4urqqjXGmv03t/mxY8fQtWvX/zRbOcMwcHBwgLe3N7y8\nvGBvb6/10kcoFKJnz546uaGdPHlS5xW/egexfv16REVFISEhAU+ePEF0dDQePnyIxMRETm7JKwLL\nskhPT0dUVBQiIiIQGRmJw4cPY+DAgXonDRKJRPD29kbLli3h7e1dIw8UqVSKX375Re9zWG+XSPn5\n+Xj//ffL3WTyeDx0794dUVFR1c7XXlhYiKFDhxp0Ym3YsEHvymdZFpmZmZg2bVq1KdoYhoGrqyuC\ngoLQvn17uLm5aZ2cIpGoQrq8F8vPycnB5s2b0bZt2/8ckbNYLMb06dPx4MED5ObmIjs7Gw8ePMAf\nf/yB5cuX480330SHDh0wbNgwbN26VWc/yHPnzlVqbKpjXPl8PszNzWFjYwNLS0uYmZnBzMwMbm5u\n+O677yCXy2szFLVCpVLh8OHDaNasGczMzCCVSmFmZmaQD66TkxPWr1+PjIwMFBUVITs7G3v37q0R\nmc6UKVNeXQOqdkY+duwY3nzzTbRq1Qpt27bFF198gdTU1Bo1jGVZrF+/3qA0ed98841BzlDUN5k3\nbtzAxo0bMWLECAQFBZWj5WMYBvXr18dnn32GqKgoyOVyyOVyREdHY968eWUu7CwsLDBv3rxquXKp\nP2J5eXk4ffo0fvjhB8yePRvjx4/H4MGD0bp169eSi5RhGMycORNFRUVaV+jsvyl9S0tLNSs8XcdD\nWloa2rRpU6Z8c3NzDBkyBNu3b8cff/yBgQMH6pwDzMrKCufPn+d0vLIsi7CwMLi6uhq8bwQCAVas\nWFFmZa3W/9WrV6uV64phGPz222+vrgFVQ32wW1xcrAkBq2mjWJbF2rVrDWpAt23bZtDD+xddquRy\nOR49eoSTJ09i3bp1+Oqrr7Bv3z7Ex8eXY7NR+9VGRkZi+/bt2LBhA65evapTONvLrl1qf9YbN25g\n0aJFCAgIeG1Y4Dt06FBlGgyuwLIs7t69i5CQEHTr1g3jxo3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REwgE1LZtWzIzM6tQhwAo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\nQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 25\n",
            "    beta = 3.5588e+01\n",
            "    J = 7.4472e-01\n",
            "    grad_norm = 2.9848e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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hw4e4d+8eTpw4gYULF2Lo0KFwcnKChYUFmjVrhoEDB+Ls2bNaLQt///33WstR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\nGD71WkEaKgAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 26\n",
            "    beta = 3.7029e+01\n",
            "    J = 7.5471e-01\n",
            "    grad_norm = 3.0727e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Eh4ejYcOGaNu2LbZs2WKW0Igsy+LkyZPo1KkTAgMDERgYiODgYHh4eJh9O00q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\nFNQpZBZUAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 27\n",
            "    beta = 3.8471e+01\n",
            "    J = 7.6904e-01\n",
            "    grad_norm = 2.0904e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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mTJiAgIAAWFhYaFxc3d3dsXr1ar1CEB44cKBO9eTz+WjUqBH69OmDESNGoFOn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\nDD1hFqBmmGGGGXri/wAumBqmIfTQkAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 28\n",
            "    beta = 3.9912e+01\n",
            "    J = 7.7679e-01\n",
            "    grad_norm = 2.4375e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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n8frrr9e5A6GaCo/HQ69evXDixAlERkbizp07+PnnnzF69Gi4uLiUsbW0sbHB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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 29\n",
            "    beta = 4.1353e+01\n",
            "    J = 7.8198e-01\n",
            "    grad_norm = 2.0339e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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H8Hg8MAwDZ2dnzJkzp0rbPBUxd+7cct8nMDAQzZs3R926dat8CPa6BAQE4OTJk3qJmaBQ\nKPDHH3+U2v/m8XhYuHAhJ7bh2sDpEr48VI8pLCykmzdvUlpaGvH5fGrWrBn5+fmVmHLrglQqpcGD\nB9OpU6e4KG4patSoQa1ataLOnTuTubk5yeVyUiqVZG9vT23atCF3d/fq7bNbSQBQWloanT59mlau\nXEmPHz9+q8KM6Rsej0dOTk7Uvn176tOnDzVt2pQCAgJILBaX6geqemNZluRyOUVFRVFMTAyxLEvB\nwcEUFBREfD5fb/3n+++/pwULFpRqPycnJ1q0aBGNHj2azM3NiWVZCgsLoxkzZlB4eDgnz7a2tqbR\no0fTvHnz1KEDuUIqldKAAQPo7NmzJf7d1taWNm7cSO+9957+x6RB1PQbVHZprg3h4eF6sZsUi8WY\nMWMG4uLiShyUaGtmo+mdq+ssVVW2V69e4aeffqp0JJ3/qjAMAysrK7Rv3x6bNm1CQUFBhUt8Q/aF\nu3fvlhoblpaW2L59eyk/c9U2GNfeTLVr18bJkyc5X9Lv2rVL4/McHBxw+vRpvdevURSoPrh48SLn\ng10gEOD777+vslmJ6nT2+++/x/vvv48LFy5w4gRQlfJokoKCAmzfvh316tWrtp5Q1V34fD4mTZpk\n0HgBr5uCaeqncrkcCxYsUJuimZub4+effy5zaZ2bm4vWrVtzXjc1atTAgwcPOFVq0dHRJU7YX5fg\n4GAkJiZy9ixNvBMKlGVZfP7555w3eKdOnVBYWFjlsqWkpKBbt27q+7q4uODq1atGmYlKJBIcP34c\na9aswZo1a/D7779j48aNWLZsGUJCQmBmZmZ0JfS2i1AoxMaNGw3SvizLIjMzEwsXLkTnzp2xY8cO\njft/UqkUFy5cwKeffoq9e/dCJpOVec+srCw0a9ZML3XTunVrvHjxgrO6USgUGDx4sMZnMQyD+fPn\n63U/9K1XoCzLIjExEfXr1+e8sb///vsqN3ReXh7ef//9UjO6YcOGcX4iWBESiQSffPIJzM3Nja5k\n3nUZPXp0uUqKKwoKCjBq1Cj16svZ2RmRkZEar9Vm24BlWVy6dEmv1hSNGzfG+vXrERMTg7S0tCpF\neGJZFmfPni1zy8HNzQ0RERF6+5i91QpUZWT+3nvv6WXJ2adPH+Tk5FRY+SzLorCwEAkJCUhKSkJB\nQQFkMhlevnyJjz76SGPwCisrKxw+fNigS/nbt28b1PD8vyxDhgzRm1mSCpWr4uttyuPxEBYWVu5v\nylKiLPtPjNQ2bdrovX4EAgHs7Ozg7OyM1q1bY+vWrTp/cGQyGaZPn67RTJJhGL26Hr+VCpRlWWRn\nZ2PPnj1o2rSp3vbr+Hw+unbtis2bN+PZs2ca95gUCgUuXryIfv36wcnJCe7u7ujatSsGDhyIGjVq\nlLsv6+bmhvXr1yM2NtYgdqNnzpwxHQrpKDweD46OjlodVPJ4PCxbtkzv7VlUVISOHTuWevbt27c1\nXs+yLGJiYrBo0SL89ttv6hi6Ku+xq1ev6mXvUxsxNzfHzp07dXZ5zs3NxdSpUzVOEIRCIYYNG4bQ\n0FBERERUtdpLUC0UqEKhwLNnz/Do0SP1CaYmQ1jVYczGjRsREhJiMGN5Ho8He3t7DB48GEePHkVS\nUhKKi4uRkJCApUuXVslVlMfjwc3NDf3798e+ffs484PWRGRkJJydnY2ujN428fPzw7p16/DgwQNc\nv34d33zzjcYgKyqpV68eEhMT9apAWZbFjRs3ShmTl5X9gWX/ybagCh/J4/Hg4+ODiRMnYunSpRgx\nYkS572QIadGiBbKzs3WuD4lEgr/++guDBg1CcHAwLCws1JMrhmEgFothZ2dXxZovidEVqEwmw6JF\ni+Ds7AwrKyuEhIRgxYoV+PvvvyGXy6FQKCCTyfD48WP8+OOPqFOnjlFPiHk8Hvz9/dG2bVv4+flx\nWhaxWIzff/9dbwNPqVTit99+0+jBoRpUptP3khIUFKROYfJ68JPQ0FA0bty4VH0FBgbi1q1bep99\nKpVKLFy4UGOZlyxZUso06dmzZzoHLjeUCASCKps6qdonMzMTYWFhOHz4MKZPn45mzZqpY8FyicEM\n6TUBgK5cuUK9e/emoqKiEn9zcXEhLy8vEgqFJJfLKT4+Xm8peqsTo0ePps2bN5NQKNTL/RUKBV2/\nfp127dpFOTk5JBQKKTAwkFq3bk3m5uYUHh5O58+fp8uXL1NWVtY7azzP5/PJwsKCLCwsqLCwkGQy\nWSnf+sDAQNq9e7c6udnrAKDk5GTauHEj3bx5k1iWpYYNG9LUqVPJz89Prwbc+DdxXocOHSgqKqrU\n393c3GjDhg3UpUsXUiqVdPbsWVq0aBE9ffpUb2Xiik6dOtH+/fvJ0dFR/W/FxcWUm5tLjx49ory8\nPPLz86M6deqQUCissJ7xb6LBnJwcSkhIoPz8fGrbti1n5TW6Aj106BANHTrUWEWodsyYMYN++eWX\nKntmlYeqyQGoO6DqfwFQcXExxcbG0uHDh+nq1av05MkTkslkxDAMASC5XE5FRUXVOqtkebi7u9PX\nX39N3bp1I5FIRHK5nOLi4ujMmTMUHR1NWVlZVL9+fZo+fTrVqVOnwuA1MpmMAGj0QtIHUqmUFixY\nQMuXLy8zUI6VlRW5u7sTy7KUlJREUqlU7+XiAoZhqFOnTjR48GASi8WUnZ1NJ06coLi4OEpLSyO5\nXE52dnbUt29f+umnn8jFxcW4HoCczmcricpkojqa1TAMAzs7O7i4uJRZPtW+ClcpIhwcHEqF4zIm\nKuuClJQUJCcnqyU2NharVq3SOnp4dRKRSKT2wNH0vhKJBHl5eQbzpS6L10MDyuVySCQSZGRk4P79\n+xg/fny1z53Fxfgr78CTx+Ph008/NapDCmDkJTwRkUwmo3nz5tFvv/1WbWY0QqGQPvzwQ5o2bRo5\nOzvTnTt3aNOmTXTx4kXKy8sjkUhEtWvXphEjRlC9evUoLy+Pzpw5Q3/++Sfl5eWVup9q5lYetra2\ntHLlSho7dqw69Fx1hmVZ2rp1K3344YcGDRdYVTw9Pen+/fvk4uJi7KKUCQCKjY2lXbt2UVJSEhUV\nFVF+fj5FRERQcnIyFRQUGLuI1QJ3d3e6fPkyBQYGGq0MRlegAEgikdDevXtp27ZtlJmZSdnZ2ZSe\nnm7weI8q+vfvT3v27CFzc3O18pPJZHT37l2Ki4sjBwcHatOmDdnY2BCPxyMApFAo6MaNG7R27VqK\njIwkPp9PDRs2pI4dO5JIJKK4uDjas2cPRURElIhjyOPxqGnTpvTtt99Sjx499Lp055onT55Qq1at\nqLCw0NhF0RpXV1e6desW+fj4GLsoGgFAN2/epDFjxlBcXFyl9qBFIhEFBQURj8ejuLg4ysnJ0Xgd\nwzBUs2ZNCgkJIX9/f7p79y5FRkZSQkLCW7fn/c0339DChQuNN+kwzsS3JK8vVwoLCxETE4MLFy7g\nt99+Q0hIiMFTcaxevbpMQ+PyPDlU7yCVSiGXy0sFH8nMzMSBAwcwbNgwdOjQAQMHDsTOnTuRnp5e\nbZbt2sKyLA4cOGCUNClVET6fj/Xr11fb+k5LS0PDhg11WvJ+/fXXKCgogFQqRVhYGKZNmwYvL68S\npjx+fn749ttvkZCQUMIGND4+Htu2bUOHDh2qzfYAj8dD7dq10b59e7Ru3RoODg6lrnFwcMDmzZvL\nNH/UN9VCgWpCVRk5OTn47rvvDJr3ZvHixXrbW9E1mlN1gWVZSKVS/Pnnn/D29jb6INNFGjVqpHWG\nS67rriJPoN9//12nj5K7uzuio6PV91WZ88TFxeH8+fPYs2cPzp07h/j4+HLtrIuKivDHH38Y3V7Y\n0tISy5cvR2pqKpRKJYqLi3Hv3j20a9eu1LUCgQBNmzbF3LlzceLECWRnZxusbautAn2doqIiDB8+\n3GCN16RJE52TYnGNtkqWZVnIZDJIJJJSIcqq8szXbR8LCwtx8eJFDB06lPNwZ4YUHo+n14+kpvqU\ny+XqVdWOHTuQlJRUqo1yc3PRoUMHnd4pKCgIRUVFnJRXoVBgzZo1Rl1dzJgxo1TOd5ZlNYbme1OZ\ntmzZ0mCHsf8k1dEjANR2dgzDkKWlJZmZmVXK9EAsFlOzZs3owIEDBjmw+Pvvv+natWvUvXt3g5lI\n4N+9J7lcTlKplIqLiykxMZHu3r1LBQUFZGlpSe3bt6caNWqUMJcBQFlZWXT06FE6ceIEpaenU+/e\nvWncuHGVDvKsutelS5fo5cuXRETqvEt5eXl06tQpCg8Pp/z8fI7f3rCwLEtr166l/v37U/369cus\nIwDq/sbj8XTuCwBo+fLl9MMPP1BBQQHxeDwKCgqir776igYMGEAWFhYkkUjojz/+oBs3buj0DBcX\nF3VbVRU+n0/vv/8+7dy5k8LCwji5Z2WfHxwcXOp9GIYhJyenct9ToVDQrVu3aMKECXTy5Eny9fXV\nb2H1pZlV/uq//fYbWrZsCRcXF3h4eGD06NG4f/9+pb4OSqUSn3zyiUG/gGvWrDHYMkAmk+Hq1av4\n8ssvMXToUNSqVQuurq6wtbVVzwJ4PB4cHBzQt29fbNiwAVFRUYiKisKvv/6KJk2alHBr5fF46Ny5\nM9LT07V6vspcafv27ahfv75Bt0uMKd27dy+1lFctYyMiIrBs2TJ89NFHmD59Ovbv318qZ5e2REZG\najT5EolE6NixIz777DMMGjRI5whI5ubm2L59O6f9lWVZbNu2zWjhDSdOnFgqRY5MJsP333+v9cx4\n8eLFeh/DelOgSUlJ6NGjh0Z/dU9PTxw5ckSrABoqNzRfX1+DNqChDhokEgm++OKLEnnXKxI+nw9L\nS0tYWlqW2Zl4PB6WLl1a4TvI5XLcuXMHgwcP/s/FAuXxeOjSpQtOnTqFp0+f4u7du/jf//6HPn36\nwNbWtoQdolgs1jnx26VLl6pUTqFQiDp16mDs2LGYNWsWunbtijp16qB27dpo2rQpNmzYoJfQiFKp\nFIsXL4a7uztEIhHs7Ozg7e2t0RWYa7GwsMDnn3+OiIgIxMfH4/Hjx/j4448rtXU0bNiwt1OBKpVK\nLFiwoFxDWFtbW3z88ce4ceMG7t27hzt37uD27du4c+cOnjx5gqSkJCQmJuLChQs659nWVerVq4eY\nmBiDKNDTp0/rbcYXEBCAhISEUs9URa+5dOkSxo4da/QgEsYWgUAAkUgEoVBYbiwAsViMPXv2VLpf\nhIaG6hxjwNnZGb///jtyc3NRXFysNqyXSqWQSCTq4DP66qsKhQLR0dE4deoUwsLCkJCQgOvXr2PQ\noEF6bxeGYWBjYwMvL68SgUG0bdO1a9e+nQq0oKAAXbt21epF+Xw+hEIh+Hw+eDwe+Hw+rKysEBAQ\nAH9/f4PNihiGQY0aNTBu3Di9BmB9HZZl8dFHH+n1nT799NMSgyw9PR0bNmxAy5Yt/3MzTi7Ez88P\nsbGxleofDx8+1CnbpYODA44fP250b5s3UUVFq1OnjtHbw9vbGxMnTsTKlSvx8ccfo3fv3ujTpw/W\nrVtnkLQqejlEEolEFBgYSOfPn6/wWqVSWcKwnIiooKCAYmJiOClH69atyd/fn+RyOeXk5FBUVBQl\nJiYS0T9G1cHBweTn50f9+/engIAA8vb2JoZhDH54pK97r127lnJycqhr164UExNDe/fupYiIiLfO\nYLq6EBsbS3PnzqVNmzaRra2tVv3Ey8uL3N3dKTc3V+vn2NjY0PLly6lXr17VzrmCYRhydnamSZMm\n0dy5c43SlxiGoV69etGKFSuoVq1aZV6jd/ShlV8Pn2UsUwg3Nzds2bKlhIFtcXExUlJSEBUVhWfP\nniE5OdkggYzL48iRIwaLa2oSboTH42Ho0KF4+fKlVrPDmJiYMhOfvSl8Ph+1atXCoUOH9JJPnStY\nlkVycnKJEHkMw8DJyQnDhg3D5MmT0bVrV73EuWAYBv379zeKLe+b6M2VE//mFT906BDFxsaSQqEg\noVBIPB6PXrx4QSdOnNCbC2CjRo1o1apV1K5dO6N9vd+s1rK+htnZ2TR48GAKDQ0t8e88Ho9sbW1J\nJBJRcXExZWdnv1U+5+86DMOQv78/TZs2jUaOHEmurq6lVi4ASCqV0pIlS+j7778vd6bG4/GoSZMm\nNGHCBBo8eLD6ftUZABQREUHbt2+nzMxM8vf3pyFDhlCNGjVIKBRSUVERXbx4kZYuXUr37t0jmUzG\nyXNbtWpFBw8erLSZnl7Qt4Z+3RD7dW8HfWTRFIlEeO+99xAXF2e0LxPL/pOnac2aNZg9ezZmz56N\n33//vUx3TZb9J81Cnz594OHhAQ8PDzRv3hwrVqxAdHQ0MjMz8fLlS8ydO/c/Y15kTLG0tETTpk1R\np04drVYGfD4ffn5+mD9/Pu7du4ekpCSkpaXh5cuXOH36NIYMGaLVXvPQoUORkpJi9BlVZVGN7bJW\ncipvwkOHDmHBggVo3749PD09dV6ZCoVCzk22qoJRPJFYlsWpU6c4zc/j7e2NDRs26GyrxwUKhQKn\nTp1CQEBAiQ7C5/MREhJSpneEyj0yKSkJSUlJpd5B9fcZM2aYIsbrUZycnLBt2zbk5eUhISGhUvmB\nGIaBubk5PD09ERQUBEdHR60P6SwsLPD48eNqoRSUSiXi4+Nx6NAhzJ07F4sWLcLly5eRkZHBSaR4\niUSCV69eYc2aNfDx8al0G1lYWODMmTPVoq4AIylQpVKJ+fPnc9bxGzZsiIcPH1bZhbEqKBQK7Nmz\nB46OjmWW09/fH+Hh4TqVUTVTfRtjcL4NooovKZPJwLIsUlJS0KJFC4M828PDA/Hx8XroleX3pzcl\nISEBixcvhq+vr3oCwDAMhEIhmjVrhj179qjrh4tnP336FEOHDq20NcjkyZNLGdkbC4MqUFXF3bx5\nE56enpx1vsp6NnH9TjKZDJs2bdIYLeZN6devH/Ly8nR6llwux6RJk4yubN5FsbCwwLJly/Ds2TMc\nP34cPXv2NNgBqL29PZ4/f85xz9QMy/4TNPrWrVs4ffo0Tp06hT///BMzZ85EQEBAueUUi8X47LPP\ntEr1rW1ZioqKcO7cOUyYMAGtWrXSKu22SCTCuHHjcP78ecTGxuLly5e4c+cOLly4gPPnz+Px48d6\nTc74Onp15ZRKpXj06BGOHj2Ko0eP4uDBg1i6dClnUXx4PB4WLlxYYfRwVcguVbTxnJwc5OfnQyKR\nQCaTobi4GMXFxZBKpSgqKkJubi6ysrLUocHKi56TmpqKOXPmaO1JxOfzdU4cx7Isdu3aVW3Cjb1L\nwuPx4OLigho1amg1iLkUkUiEyMjISvcHXfpPYmIiBg4cCCsrK522g/h8PkaMGKExGEpVy1ZQUIDz\n589rHc5PKBTC09NT7R0lEAjA5/Ph6OiIJk2aYNWqVXrLB69CL6fwAOjJkyf05Zdf0q1bt9RR2lmW\nLWXzWRWsra3p5s2bVLdu3TLLIZVK6caNG/TXX3/R+fPnSSKREADi8XgkEonIw8ODfHx8SKFQUExM\nDKWlpZFCoSCWZYnP55OHhwf17t2bOnToQMHBwWRmZkYAqKCggI4fP05r1qyhJ0+eVOqEvHHjxnT+\n/HlycHCo9DvHxMRQ48aNTVHJ3yHMzMzo4cOHFBwcrNfnAKDVq1fTJ598UiXbTYZhqEWLFvTFF19Q\n27Zt1WOCZVmSyWQkkUiIiMjCwoJEIhGJxWKtAwgBoK1bt9KUKVOqHFCdz+dT7969aePGjeTs7Kyf\nE3uuNbJqr65Ro0Z6/3JbW1tr/HKrwoddu3YN/fv3r5SfeXnP8vHxQceOHdGyZUu4u7vrbL8pFotx\n4cIFner36dOnnLyPSaqPCIVCPHjwoIojr2KUSiXGjBnDWbnNzc3h5eWF2rVrw8/PDx4eHnB1dYWT\nkxOcnJzg6uoKb29vvPfee/jjjz+0sttk2X8CdXNlccIwDEaNGqU3ryROFajKhKdnz54G6Xg8Hg9f\nf/21emNbtVSPiIjA9OnTYWdnZ/TBUZbMmzev0i56MpkMX375JafWCyYxvvB4PGzdulXve3Ysy+Lr\nr782yjsKBALUrl0by5YtU0fD11S+nJwczv3sRSIRli9frpeDJ04V6KRJk9C4cWODmtpYWlpi/Pjx\n+PPPP7Fjxw6MHj0aLi4u1cbcRyQSafTGqFu3rlbh5pRKJZKSknDjxg1MnjxZ55BnJqne0rt3b50P\nF7WFZVls3LjRqO/J4/Hg6+uLuXPn4vbt28jJyYFSqVSflwwfPlwvnnnm5uYYMWIEtmzZwmmdcqpA\njdkwDMNUG6Wpkho1auDAgQM4ffp0qS0NgUCA7777DnK5XGN6hcLCQhw5cgSDBg1CQEDAf97dk8/n\no27duujYsSPq1av31uViqkgEAgEmTZqEu3fvqmdKb0pVYVkWGzZsMPq7qkQsFqNZs2bo0aMHOnTo\noFPAlcoKwzBVrsfXqZYK1NLSEk5OTtVOIVZWRo8eDZlMBqVSidmzZ5f6u0gkwty5cxETE6MOVSaV\nSnH58mX06tXrP680if7p8MHBwdiyZQsyMzOhVCqRmZmJ3377DX5+fm99H3lTbGxs0LRpU7Rv3x4j\nRozAmjVrcOTIEdy8eROZmZmQSqXq1C1FRUWQyWRQKBRa7S3K5XIMHjzY6O9obOESTk/huTjlEolE\ntHjxYvL19aWpU6dSZmYmByUzDjVr1qRly5aRWCymL774gp4+farxOg8PD/L19SU3NzeKj4+nZ8+e\nacwv/1+CYRhycXGhcePG0cyZM8nT07OUn3lMTAxt2rSJbt26RXFxcSSTyUihUKhPgrm0+DAmDMOQ\nlZUVubq6qk+z8c/kh/h8PjVo0IAmTZpE7dq1I4FAoHEcKpVK2rJlC82aNYuKioqM8BbVBw5VHrfq\nmMrR+kKhELa2tiXSVGgSMzMzzJo1C/PmzdNLJBdDi7m5uV72Lfl8/ju3jCX6/z2yr7/+GlFRUVrZ\n+Obl5SE5ORmJiYmIj4/H33//jcWLFxtkSVhdxNraGnPnzkVaWlopN+CsrCwsXbq03GRs/yXhVOdx\nerMyCly/fn1s2bIFMTExiIyMxNq1a9G4ceMyrxcIBKblawVia2sLJycno5ejsiIQCDRGfjczM0NQ\nUBCWLl1a5iltZSguLsby5cvfyY9MWcLn89GiRQvs2bMHcXFxiImJwcaNG9G6dWvTeHpNuETvS3hz\nc3M6duwYdenSpUQmyWfPnlGvXr3oxYsXXD3eIDg5OZGbmxuZmZlRZmYmJSQkGCXMnCp02tsS4k4g\nENDgwYNpwIABZGZmRrm5uVRYWEgSiYQsLCzI09OTOnXqpA5SzMV2UE5ODg0YMICuXLnCwRu8PQiF\nQhKJREREJJVKSaFQVPoeqm2Cylzv4uJClpaWlJaWVq0dPThUeaT3tMYuLi5Uq1atEgOCYRiqVasW\nBQUFGVSBisViql27Ntna2hLLspSWlkbPnz8vd6/MwcGBvL29ydPTkwYOHEitWrWiwMBAYhiGMjIy\naOXKlfTLL79U2WuisuDfPbC3AYZhaNSoUfTrr7+SlZVVuddxia2tLX3xxRd09+7d/9S+X3FxcYX9\n0dHRkVq0aEGBgYEUHx9PKSkpBIA8PT2pZ8+e5OjoSDKZjA4fPkynT58uUyHa29tT8+bNafTo0RQS\nEkLOzs708OFDWrRo0X/jw8XldJY0TJctLS1x9+7dUtdmZmYaxFuJYRj4+/tjypQpCA0NRUFBAZRK\nJZRKJdLS0nDs2DGMHDkSTZo0gbOzM7y9vdGuXTtMnToVx48fx6NHj1BYWFginqkKVWCGqVOnvpPG\n7QzDgMfjVfmkOygoCM+fPzdKwBe5XI6RI0cavS6rk9SqVQvXrl1Tn96rxoNCoSjRz1VZHC5evIhB\ngwbBw8MDYrEY3t7e6Ny5M5YtW4aHDx+qTfFU7avyua9MOEBDCpcYZA/03LlzJa5TKpVYu3atVkqH\nz+frNIAtLCzQt29f7N+/H4mJieUOXlWWyqioKLx48aLSkVwSExPRrFkzo3cMXYRhGAgEAojFYjg7\nO6Nt27YYNWoU1qxZgytXruDmzZvYtWsX2rVrV+l24PP5aNCgAcLCwowaLSsiIgJeXl5Gr+vqIO7u\n7rh+/Xql2kOlSGNjY/HgwQO8ePGiwlQ4LMvizp07cHd3N/o7vylcYhAFeuLECfU1LMvi1q1bcHZ2\nLvclhUIhhg4dij179uCrr77S+gRRIBCgc+fOuHTpksFiBrIsiydPnqBu3bpG7xwVCY/Hg6WlJYKC\ngjBhwgT8/PPPOHfuHB49eoTY2Fjk5eVpNOzPzMys0MWOx+PB0dERffr0wbRp07Bz585qEWWdZVls\n3rxZ5yhLLi4uGDNmDD7++GNMmzYNffv2hZOTE8Ri8Vtlh2pnZ4ctW7ZUaNnAFUqlElu3bq1ULndD\nCJfoXYE6ODjg0aNH6mtkMhnGjh1b7guKxWJ89913kEgkAP5Zhk2dOrXCinFzc8PPP//MWbzCyqAK\nENumTZtqd/JrZWWFxo0bY/bs2Vi5ciUeP36M9PR0rQywX3+/x48flzmjsLGxwRdffIGYmBh1RH1j\nK87XKSwsxNixYyut8Dp37ozHjx+rZ1yqGJYJCQm4ePEili5diq+//hpffvkl5s+fj/fffx+enp7V\nYktHKBTCzs4OLi4u6NGjB86cOWPwRHVyuRyrV6/WKQCOvb09unbtipCQEE6VMJfoVYEKhUJ8//33\nJb54mZmZ5eaTFovFWLJkCeRyufo3qggtZcXB5PF4aNmyJe7cuWOwr6smVDO1ZcuWITAw0OiKlMfj\noWfPnrh06RJyc3OrHLFfoVDgm2++KfVeAQEBOHz4cLXPIpmamoouXbpoXX/NmjXDy5cvK1yqvi4y\nmQwJCQn46quvjBbMpmbNmvj888+xZ88eREREIC0tzaipbmQyGZYtW1apCEv16tXD9evXUVhYiPz8\nfISGhqJVq1Yax5SFhQXatm2LBQsWYOzYsRWa93GJ3hQowzCYPn16qf1EmUyGUaNGaXwxMzOzMv3D\nHz9+rHEJJhQK8dFHH+HVq1fVYsaj2pRPTU3Fjh070K9fP6PsAzEMgxEjRiAzM5OzelEZZU+YMAGO\njo5wdXXFe++9h4iIiGpR9xWhWiVoc3jp5OSEixcv6hz4uri4GEePHuUs84I2IhQKMWLECLx48cKo\n6W00UVhYiMmTJ2u1AqhRo0apfXPV5GTRokUIDAyEWCyGo6MjunbtimPHjqkPeuVyOe7du4euXbuW\nuQrgEr0pUFdXV8TExGjcTwsLC0PNmjVLXG9lZYXvvvuuzJwr8fHxpfIB2dra4vvvv682+VHeRDWQ\noqKisHLlSgQHBxtsMLVv376UVwpX7ySVSvHw4UNERERo/NhVZ1T71e3bty9XeR46dIiT3D9hYWHo\n0KGD3vdKRSIRFixYgIKCgmrZHqoVQPfu3cutC09PzzI/XK9PTi5evIiHDx9q1BcqZfvVV19p9ALk\nEr0pUF9f3zKDmKpORmfNmoWePXti5MiRuHjxYrkne8XFxfjhhx9gY2MDoVCIVq1a4ezZsxWeBlYH\nVMu7lJQUfPnll7CxsanygCnPvMjDwwO3bt2q9vViLFiWRVpaGmbPng1XV1fweDzweDxYW1tj0KBB\nnNadajAvWbIEvr6+etkbtba2xqpVqzhJ+KZPVOZNn3zyCZo3bw5XV1dYWlrC2toaderUwbhx4/Dg\nwQPO3kGhUGD9+vWlXMK5RG+eSHZ2dnT27Flq1qxZmQbS+NcYXFvPE7lcTjExMSSXy8nX15dsbGz0\nE6ZfjyiVSjp79iwtWLCA7t+/XylPIh6PR40bN6ZBgwZR06ZNKS4ujq5du0ZXrlyhtLQ0AkA+Pj70\nyy+/UM+ePd+6ujE0LMtSbGwsvXr1iliWJScnJwoICNA6/URlAEAJCQl06dIlCg0Npfz8fMrLy6OE\nhASKj49Xp5qpDGKxmFq3bk2ff/45denShfh8Pqdl1geqMZ+fn0+ZmZkklUqJYRhydHQkJycn4vF4\nnD5PKpXS8OHD6dixYyXKwBlcamN648s4duxYyGQyLh/xTsCyLF69eoVvv/0W3t7eWs1KhEIhpk6d\nWsIsSBWBPz4+HufOncPRo0cRHx9frWch/3VeN1AvLCxEamoqwsPDMWfOHK2Cn4jFYgQHB2PWrFm4\nfPmyRrMzE/8Py7L48ccf374lPNE/kYiOHTtmauAyUCgUePHiBf73v/+hfv36ZZ5SmpmZYcaMGcjN\nzTV2kU3oAVWszoMHD5ZpH21hYYF+/frhr7/+QkZGRpWDrfxXUCgUmD59+tu3hFfRo0cPOnHiRKnl\nRXFxMWVkZJBYLCY7O7v/9HKTZVnKy8ujc+fO0eHDh+n27duUnZ1NAMjV1ZWmTp1KH3zwQbl+5Cbe\nfliWpbNnz9IXX3xB4eHhpFAoyMLCgpo0aUJz5syh7t27k7m5+X96rKiQSCR05coVunDhArm4uNCA\nAQPIz8+vlJ4pLCykZs2aUWRkpPrfOFR5pHcF2rhxY7p27RpZWFgQ0T+Ff/ToEf30008UFhZGDg4O\n1K1bN5o8eTL5+Pj8pzsHAFIqlVRYWEjPnz8nlmUpMDCQrK2tOd8bMlE9AUCZmZl09epVKioqInd3\ndwoJCSELC4v/9Nh4nYKCAvrss89o06ZNJJfLicfjkaurKy1YsIA++OADEgj+P0ZSWloaNWnShJKS\nktT/9lYp0IEDB9LBgweJz+cTALp37x6NGDGCnj9/XuK6gIAA+u6772jo0KHE5/P11lnwb/7q5ORk\nysvLIy8vL7K2ti7zeVKplNLT04lhGHJ1dSWhUEhE3EcO+i/welfDv4eHKipTn6o2jI2NpYyMDPLx\n8SE3N7dK36c683pdGeKdXn9ednY2hYeHU3R0NGVnZ1PDhg0pJCSk1DgBQImJiRQTE0P29vZUv359\n4vF4ei0vy7K0YsUKmj9/fqkoalZWVrRr1y7q16+fugy5ubkUEhJCz5490/iuVYbL/QB6Y9+mdu3a\nePjwoXoPNC8vD23atClzg9zCwgIrVqzQmzcRy7LIyMjA9OnTUbNmTTg4OKBevXro2rUrVqxYgSNH\njuD48eM4evQoVq9ejT59+qBJkyaoUaMGatasidatW2PNmjVGcRV9W1EdmqSnp+PYsWP47LPP0KlT\nJ7Ru3Rrt27fH3LlzceXKFa1NcFiWxYsXLzBp0iS4ubnBzMwM/v7+mDt3LqdOA/8l2H+TGJ48eRKj\nR49GcHBwiQDMfD4f7dq1w5UrV9Tuv3K5HFu2bIG/vz8YhoGdnR3WrFlT5b3ZipLopaenIyAgoEwd\n0rZtW7ULOPCPP/7vv/9ewhWUS/SmQH18fHDjxo0SJ8Znz56tML2FjY0Nzp8/r5eBoFAoMH/+/DJP\nvRmGqTD6k0AgwKBBg7RKSfxfRzXQdu7cifr165cZFd3a2hoff/wxsrOzK3SbzMrKQrdu3Uq1EcMw\nGDhwILKzsw33gtUcbeMRJCUlYeDAgRW6Wjo5OWHevHnYt28fpkyZUsq+0s/PD0lJSVUqr1KpRF5e\nnsY4DSzL4vjx4+UGhXF0dMTjx49L/K64uBh//fUXevfuDTc3N53Lpwm9KFCRSITt27eXcsVas2ZN\nhWYaRIQ+ffroZRaam5uLWrVqaVWG8oTH42Hx4sWm2U4FsOw/eci1CQTB5/Mxb968cv3pWZbFH3/8\nUaYi5vP5+PXXX03tgn9mXomJiUhMTCx3VqhQKDBt2jStPaUYhikzJgWfz8fRo0d1rn/VCnHTpk1I\nSkrSqECXLl1aYT86dOiQxnsXFhYiMTFRp7KVhV5OJuzt7TUacsvlcq1+HxERQampqZyXS7VnVlVY\nlqU///yT8vPzOSjVu0tBQQGtW7dOq/QOSqWS9u7dS/Hx8WXuUbEsS/v37y8zRYVSqaTTp0+TVCqt\nUrnfdgBQcnIyjRw5kkaNGqWONq+JxMRE+uuvv7TeFwRQZrR7pVJZ5cj/z549o927d1NsbKzGv1cU\naZ9lWZLL5aXeh2EYdeoYLtGLAjU3N1cftryOtmlm8/PzKScnh+NSEeXl5WmtxCsiNTWVsrOzObnX\nu0p+fn6l6ig3N5eysrLKvaYiZRwfH08ymUzrZ76rJCcn09OnTykiIoJSUlLKvC4vL6/COq8M2iri\nsigsLKTc3NwyP4IVee7BwKlu9KJACwoKNM7OtHU1c3JyInd3d66LRZ6enmRtbc3Jvby9vcnZ2ZmT\ne72rODk5UXBwsNbX+/j4kK+vb5l/ZxiGWrZsWe496tSpozaZ+y8TFBREo0ePplGjRlFAQECZ1zk7\nO5O3tzdnz62quV3NmjWpRYsW5OHhofHvVXFX1Ydy1YsCzcrKos2bN5NSqSxRYFWmwIpo3bo12dra\ncl4uDw8PtblLVRAIBPT++++Tubk5B6V6dxEKhbR48WKtlKi1tTV99tln5ODgUKYZDMMwNH78+DI/\nrmZmZjRo0CCNq5//EgzDkLW1Nf3888+0bNmycs30XF1daeTIkVorPqFQWMKc73XEYjE5ODhUqew1\na9akadOmUc2aNTX+vSJ7WB6PV8IOlIjUZm/x8fEUGhpapfKVgssNVXrjNH3Tpk3q0zSWZXH58uUK\nU3P4+Pjg77//1stBgCq1w5unh/Tv6bpYLIaVlRUsLCxgZmam8bTeysoKs2bNQkFBAeflexdhWRZR\nUVGYNGkSnJ2dSx0ACQQCBAcHY9euXVoFZFYqldi1a1ep0IZmZmaYN29eCRMWE9qRl5eHWbNmwdbW\ntszDJIZhUL9+fezfvx9RUVHYs2cPfHx8SlzTtGlT5OTkVKksqvgOZY3/sLCwcg8lHRwc8ODBgxL3\ny8nJwRdffIGaNWtCIBBUqXxvoldDejs7O9q0aRMNGjSIGIahoqIiGj58OB0/flzj72vWrEnr1q2j\nXr166c0YVyaT0e7du2nfvn2UkpJCAQEB5O3tTV27diU/Pz8SCATEsiwVFBTQnTt36OnTp1RUVEQs\ny5KtrS0NGjSIWrZsqZeIPe8yCoWC4uPj6cmTJ2ovGzMzM2rbti21bduWXF1dta5PlmXpyZMntHXr\nVkpOTiZLS0vq27cv9e7dm8RisZ7f5N0DACkUCoqIiKD9+/fTnTt36M6dOySVSgkAWVpa0vDhw2ne\nvHlUs2ZNdc74p0+f0k8//UTnzp2jGjVq0I8//khdunTR67jIy8uj7t27U1hYmMa/d+vWjY4dO6bu\nBzKZjD7++GPatGmT+gyGQ5WnvxmoStq1awepVArgn69BdHQ02rRpU+JLJxKJ0Lt3bzx69MggQRJU\nJg1ZWVnlGnCrZs6qlK8m8xhuqMhYujL3kclk71zbqPqcMWLdqsZGQkICbt++jStXruDly5clUuy8\nfq1UKkVycnKFNrxclm/v3r0acyy5urri8uXLJcrx+PFjODo6lriOSwSalCqX5Ofnk0KhIJFIRAzD\nkL+/P+3fv5+2bt1K58+fJ29vb+rXrx/17NmTLC0tDTKrU5k0VHTYoCqLoWaaAKigoICSkpLo/v37\nlJeXRyEhIRQUFPRO7bdyVZ8Mw5CZmRkn96ouFBcX082bN+nw4cNUUFBALi4uNGzYMKpXr16pvT19\n8PrY8PLyqvBakUiklwPf8p45aNAgSklJoSVLllB6ejqZmZlR3bp16ccff6S2bduW6F8SiaRMszdO\n4FIbk4YZ6PDhwzXOKpVKJaRS6VsRUV7fKJVKxMXFYfXq1Wjfvj0sLS0hEAjA5/NhYWGBUaNGIS4u\n7j9fT+86MpkM//vf/0plLLC3t8e8efNMsV5fQ6FQICIiArt27cKJEyfKdK/Ozs4ulT6IS/SqQO3t\n7U2pJcpAtfy5fv06pkyZAk9Pz3K9Qdq3b4/Y2FiN3hmaxMTbA8uyyMvLw7ffflumOyXDMKhVqxaW\nLVuGiIiIEoez/1W06e8SiQQdOnTQmwLV6yHS559/Tj/++CNnodjeLOrbeIiDf0PWXb9+nf73v//R\npUuXSCKRaPXb1q1b0+rVq6lhw4bE4/EIAGVnZ9O1a9fo5MmTVFRURCNHjqQePXroNaLVu4KqP+Ff\n+0BVP9VnJDCifxxKFAoFFRQUUEJCAsXExNDvv/9OoaGhWi03nZ2dqWHDhjRs2DDq3Lkz+fr6ap0W\n57+GTCajQYMG0alTp9T/xqHK0184O2dnZ7p69SrVqlVLY8PiX5cwhUJBPB5PvUdaFgAoKyuLzp49\nSzKZjJo0aUJ169Z9K/LAqABAGRkZtHz5clq/fj3l5uZW+h7Ozs7UqFEjqlOnDj1//pyePXtGcXFx\n6oFnaWlJP/zwA82YMeOtqhtDA4DS0tLo5MmTdO7cOZJIJNShQwfq1asXBQYGcqqQVB/Nv//+m06e\nPEknT56k7OxskkqllJmZSTk5OToPam9vb5owYQLNmjWL7O3tq70SVb2nQqEghUKh/v88Ho+EQiGn\n4fAAUExMDHXs2JGSk5NLlYGrh3AGvWHPmZeXp/E6hUKBEydOoHv37vD390eLFi2wadOmclOyFhUV\nYcyYMeDz+SAiuLi44LvvvnsrQsupohJduXIFrVq1Ur+DvsTW1hanT5+u9vViLBQKBU6dOoXGjRuX\nsvX18vLCmjVrNJ4664JSqcSzZ88wZcoUODk56aW9+Xw+unbtioiIiGrd5qqtiq1bt2LIkCGoW7cu\n/P394e/vj3r16mHu3LmIjIzkxBKHZVl1lKk3t8a4RG8K1M7ODjdv3tS4Z3fkyJFSCbREIhEmTpxY\npkKMjY0ttbkuEAgwZMgQJCQkVMuOo+owN2/exKRJk7RKGsaVNGjQAM+fP9dbXvjExES8evXqrTsE\nVCgU2LJlCxwcHMqsO7FYjJUrV1Y5IphMJsOWLVvg5+dnkDavU6cObt++XW3zJWVmZmLChAkwMzMr\n8x38/f1x+vRpje/AsiyKiorw6NEjrF+/HqdPn0ZGRoZGHRMeHo42bdpodIbhEr0eIvXu3RtZWVkl\nXrCwsBB9+vQp80s6ceJEjZkGnzx5ojEOIMMwaNasGS5evKi3QMyVRalU4vnz51i2bBk6dOig0WbN\nENKtWzfExMRwquDy8/Mxb948uLi4wMvLC3PmzKm2H7A3USqVOHToEOzs7CqsO0dHR1y/fl2n91Jl\nXZ03b55Grzd9iqenJ5YtW1ZhGDtDk5OTg8mTJ2u1+vL398fdu3dLhcMMDw/HsGHDYGNjAz6fD7FY\njHr16mHr1q3Iz89XZzsNDQ0tN2wll+hVgTIMgw8++KBEauOsrCw0bNiwzJcTCASYOnUq8vPzS9z7\nwIEDZcYhVHX4RYsWGTUqOcuyiI+Px5w5c+Dm5qZVumJ9CsMwqFOnDn755Rc8fPgQmZmZUCqVOteP\nUqnEhg0bSpwUMwyDBg0aIDQ0VCtXTGOhGoD+/v5a11/jxo0RFxdX7j2Li4uRnJyMp0+f4sGDBwgL\nC8OKFSvQqFEjo7U/j8eDv78/Ro0ahT/++AP3798vd3tMn6g+JhMmTKjU1lXdunVx7NgxpKWlIS4u\nDuvWrYOHh4fGa4VCITp27IiZM2dixIgRsLe3L/feXKJ3O1ArKyvcvXtXfY1CocDcuXPLNdnh8/kY\nO3asWhlKJBKMHj1aK4XRvHlz/Pnnn5BKpQbtMCzL4sKFC6hdu7ZRlWZZ9WJubo6GDRuiV69eWLZs\nGe7cuQOJRKK16RPLskhISCjzy25nZ4fJkyfj/Pnzas+V6mJmw7IsMjMzS5mzaFNvXbt2RXh4uPrD\no+qPYWFh+O6779C1a1cEBgbCxsYGZmZmet/f1qXtxWIxunTpgosXLxp0VqryPOzcubPWAZtfFzMz\nM9StW7dCE7/KCpfoXYESEc6dO6e+hmVZPH/+XKvI8I0aNcKCBQswbNiwcvdN3hSxWIwBAwbg7Nmz\nJZREeVTFhlKVruTNABfVWWxsbNC+fXssX74cZ8+exYsXL1BYWAi5XF5CWajeLycnBxMnTqywI/P5\nfNSoUQPNmzfH9OnT8ejRI6MrUYVCgYULF+qs3Dw8PNC3b1/Mnz8fo0aNQrNmzYy2LVMVcXR0xMGD\nBw3mLh0XF4eWLVsa/b3fFC7Re1ZOPp9Ply5donbt2qn/DQAdPHiQRo0apVc3KwsLC2ratCmNHz+e\nevfuTc7OziXMJPCveUlOTg6FhYVRWloamZmZUePGjcnHx4fEYnGF5iwAKDw8nPr3708vXrzQ27vo\nE7FYTE5OTmRra0vOzs7UsmVL8vX1JUtLSxIKhZSXl0d79+6ly5cvV7q9PD096Y8//tCYocAQAKAb\nN25Qv379TAGwicjR0ZE2bNhAAwYM0MpWGP+GgsvMzKQbN25QXl4eeXh4UJMmTcja2poEAkGpe+Bf\n++SJEyfSsWPHDBrgWBs4LQ+X2pg0aHsvLy/ExsaWujY7OxtNmjQxyBeHz+fD19cXn332GW7cuIHU\n1FQkJyfj6NGjmDx5MmrUqKE+oOLxeHB0dESTJk2wYMECHDlyBElJSepN6tdR5XAp61DsbRcejweB\nQFDl5VNQUJBGLypDUFBQgE6dOhm9LquT2NnZYd68eQgPD0dqaiqSkpIQGRmJ6OhopKWloaioCEql\nEnK5HC9fvsTChQvh5+cHMzMzMAwDCwsL1KhRA6NHj8bWrVuRkJCAwsJCdQCUmJgYjBgxotptZ6iE\nS/Q+A61duzZduXKFXFxcSvx7QUEBde/enW7evMnV47XCysqKxGIxAaDCwsIK8+eIRCKytramoKAg\n6ty5M/Xv3588PT1JKBRSUlISfffdd3TkyJEKUw38l2EYhoYPH05r165VG3vjX+8fpVJJPB5PL/nE\nAdC2bdvoww8/1G9AibcQhmHIxsaGhEKhuh2I/knH07RpUwoMDKTc3Fw6d+4cJSUlldm/BQIB2dvb\nU7Nmzah27dpUWFhIZ8+eLTe3lbHhslx6V6AikYh27NhB7733ntpVTi6X09atW2nWrFlvVQIwhmHI\n3NycXFxcyNraml6+fEn5+flG6Si1atUiNzc3unHjxluhHAQCAXXu3Jn69u1LRP8kD8vPzyepVEoi\nkYh8fHxo6NChVLt2bRIKhZwo0+TkZOrevTs9ffq0yvd6m7C2tiZHR0fKzs7WydvtXYfT8crldJbK\nmDK7uLhgypQp2L17N3755Rf069ev3Pzwrq6uevPaeBeEx+Phgw8+wM8//6xVyuDqJDweT6N5D8Mw\nsLGxwfDhw3Hp0iWtD//eRPWboqIifPLJJ5ye3lZ3sbGxwezZs3H9+nWkpKQgLCwMS5Ysga+vr9HL\nVp2EU53H6c04eDl7e3scOXIER44cKddb5G0QHo+H2rVrIygoSCubwMoMdltb21KBYt8VEYvF6NSp\nE/bt24fc3NxyA14XFxcjPj4et27dwpUrV3Dp0iUcO3YM48aNKzOy0bsmPB4PISEhOHPmTAk7X9XH\n5Pnz5xgxYoTR7ZKri3CJ/iO0VhKJREIPHjwgDw+ParuHoi1du3alP/74g/h8Pn300Ud07NixUtcI\nhUIKCQmhZs2akb+/P0VERFBoaChFRkaWu6/6Li/NpFIpXbp0ia5cuULNmzenL7/8knr06KFe2uPf\nQDSXLl2i1atX09OnTykjI4MUCgWxLEtKpfKd2JPm8/nE5/PJ3NycgoODycPDQx1UWbVnKRaLqUeP\nHtSrVy9ydHQssfWh+m8/Pz/6/fffCQDt27fP8C/yLsOlNiaOvhBCodDgLnD6kJkzZ0KhUECpVGLh\nwoWl/u7k5ITt27eXmGWxLIvk5GT88MMP8PLyqrYnmYYUCwsLjBs3DleuXEFaWhpu3ryJiRMnVpig\n8G0TMzMzNGrUCB9++CHmzZuH7du348GDB4iJiUFOTk6JGKBKpbJSXmUsy+LWrVsGjcdQXYVL9H6I\nZAiEQiHZ2toSAMrNza02hypeXl70xRdfkFgspp9++omioqLUfxOJRLR+/XoaO3asxnipSqWSEhMT\n6dixY/Tw4UMKDQ2l5OTkt+rQjWusra3JysqKCgsLKS8vz9jF4RRra2v63//+R0OHDlVbKnA9nnJz\ncykkJISePXvG6X11QSgUkpubG3Xs2JG8vb2pqKiIzp8/T5GRkXobv+bm5mRjY0MpKSnc3ZRLbfzj\njz+iVatWBt1r8fLywsaNG5GQkIC4uDhs3boV3bt31xh4xBgiEAg0+vA3atQI2dnZFdapKhReVlYW\nDhw4YDoQeEdl/PjxJWJG6IP09HQEBAQY9T1FIhHatm2LLVu2ICUlRe3yq1QqkZWVhR9//FEvB6O+\nvr44fPgw0tLSOK1TThWoKnCAoQzLhUIhtm3bVsI1TXUCe+jQITRr1qzabpzPmTOn0i51qlCA/5XD\nkf+K8Pl87Nu3T++OBvfv368w0Ia+RCAQoHnz5ti1a5fGaGuq/i2XyzFr1ixOrSccHR1x6dIlvdQv\np4dIDMOQq6srLV++nF6+fEnh4eFc3r4UFhYW1KlTpxJLYJWt5qBBg6hjx460fft2+v333ykyMrJK\nh1L29vYUFBRErq6uxLIsvXr1ip48eaLTktrMzIzatGlT6SUawzDUrFkzsrCwIJlMVunnmqie8Hg8\n8vf31/sWGNeHa6rxXqNGDRIIBFRcXEzZ2dmUnZ1NcrmcLC0tyc3NjWrUqEFjxoyhrl27kq2tbZnv\nyTAMCQQC6tGjB/3+++9ap7opDz6fTzNmzCiVrZMrOD+FZxiGatWqRQcPHqSlS5dSaGgoZWZmklgs\nJh6Pp65cLlAqlZSRkUFeXl6lKodhGLK3t6dZs2bRqFGj6NatW3TkyBFKTU2lvLw8KigoID6fT9bW\n1mRubk58Pp9YliWpVKpOxWxra0sODg7Uo0cPatOmDdWuXVt9CiqTyejmzZv0008/0YULFyq1b1Oj\nRg1q3bq1zg1alQ+BieqJSCTS+zOCgoKoTp06nHj/+fv70yeffEI9evQgb29vtQLNycmh7OxsKi4u\nJgsLC3JzcyNLS0v17yqKK8GyLP3999+c6AihUEhTpkyhzz77TH/pbTif076GQqFAfHw8/v77b8TE\nxOD58+e4ceMG+vfvz8nSmmEYzJw5U+v0CyzLQqFQID8/HxkZGcjKykJRURGKi4uhVCqhUCggkUiQ\nnZ2NzMxMFBUVlTvtZ1kWubm5WLFihdYnwjweDz/99JPOEXHu3r37TlgoVEfh8/mwtLSEWCw2qAG+\nWCxGZGSkTv2hMrAsi+vXr6NHjx6wtbWFhYUFzM3NIRaLtR6PIpEIo0aN4ixQt2pMFhQU4PHjx1iy\nZIlWUc2EQiE8PT3RqlUrBAYGwtraWv0utra26NatG3bu3ImioiIOaq5s9KpANaHaJ23RogUnnc/O\nzg7Hjh0zavTt4uJi7NixAy4uLhWWt3379sjIyNDpOSzL4ocffvhPedcYUho3bozTp0/j8uXLmD17\ntsFMfjw8PBAfH89xryy7D+Xn5yMuLg7Pnz/H8+fP8fTpU6xYsQJt27YtM2wkn89H3bp1sX37ds6C\nMyuVSkRERODTTz9FrVq14OjoqFXf9vDwwO7du5GQkICcnBykpKQgLi4O0dHRiIqKQlxcHAoLCw0S\nvMbgChT4pxFXrlzJmSJwc3PD9u3b1e5/xkChUOCvv/4q95SzYcOGiIyM1LmM+fn5aN++vdEVzbsq\nzZs3V+fYkUql+PTTTw3y3Pr16yM9PZ3jHlk5VDFf9+zZg65du8LNzQ0ODg5wdXVFy5YtsWrVKiQn\nJ3M265RIJNi9eze8vb0rVVdmZmbYsmVLtUlXYjQFunv3bk5nUmKxGJMmTdJLIjVtUX1RR4wYoU7p\nwePx4OzsXO6yRxUx/fHjx3j8+DGSk5NLdRClUomdO3dWG/Osd1HMzc2xcuVK5OXlIS8vD9OnT9f6\ntwKBAH5+fujZsyfGjh2Lli1bwt3dXas+bmdnh8ePHxs98DTw/1YsycnJCA8PR1JSEiczztfTn9y6\ndQtjx44tNx5GWeLg4FBumhVDo3cFqjJNKCoqglwuh0wmQ3R0NHr06MH5AGAYBgEBATh58qTR8vOo\n3jcqKgqHDx/GwYMHER4errZ303T9jRs30KJFC5iZmcHMzAwBAQH45JNPEBYWhpSUFMTHx2PLli1a\nbRGYpGpibm6OTp06oUuXLlrtNfP5fLRo0QLbtm1Deno65HI5iouLIZPJEBMTg2+++UarrYA+ffog\nIiKi2systEVlw1lWdlaFQoHw8HB8+eWXGDBgAPz9/SuVXeJNEYlE2L9/f7X42AB6VKAsy+L+/fuY\nOHEiOnTogNatW6NDhw5o3749atasqdd9PFtbWyxdulRjXqTXU3fouxG0ecarV69Qv359je9hZmaG\n2rVrw8fHp9ras/6XJSAgAL/99huys7M1trXqgGTDhg1aueR6enpiwoQJuHbt2luRLpplWZw/fx4D\nBgxA586d8dFHH+H69euQSCRQKBSIi4vD119/DWdnZ07rvUGDBoiOjq4W9aMXBcqyLK5evVpmFj1D\niFAoxJQpU/D06VNIpVJIJBK8fPkSp06dwsGDB3Hw4EH8+eefePjwoToXkKGToLEsi/Xr1+tdOfJ4\nPIhEIggEAqMrnXdBeDwehg8frvUgTk1N1SoHmEosLS0xc+ZMZGZmGqAX6gbLsnjy5EmpPUwLCws0\nadIEISEhld7frIw0b96c85TduqAXBVpcXIwPPvjA6B2d6J9YpHXq1EFwcDC8vLxKuFWq0nfUrl0b\nHTp0wJIlS3DmzBmDneCxLItJkybp9f2dnJzw66+/4smTJzh9+jSGDx/+zgXhMLSMHj1aKzdcFUVF\nRWjcuHGlnsHj8TB+/PhS6b2rC0qlEpMnTzZqOzRt2hRhYWGQyWTq2b5qslSV9N2VQS8KVCaTYdSo\nURVWgJmZGVxdXeHp6akOouzs7IwaNWqgVatWaN68udamDVyJhYUFhgwZgsTERIMs8WfNmqW3dxEI\nBFi3bh0UCoX6mVKpFDdu3MDkyZPh7u5uivZUSWnYsCFevnxZqXZ+8eKFTrMxoVCI7777zmAfdG1h\nWRa3b9/mfGmuizg6OmL48OFYtGgR5syZg169eqFHjx5YtWoVCgoK9F4XelvC79y5s9xN+MDAQOzY\nsQOpqanIzMxERkYG0tPT1Qbu+fn5yMvLQ0REBN577z2DKlGGYTB37lyDdNpbt27pzT85JCRE4zJQ\nddAVHx+PlStXol69ev/pPVZ7e3t4e3vD1dW13G0ONzc3XL9+vdL94ubNmzrHLxCJRBg5ciTu3LmD\nxMREJCcn4+XLl4iKisKDBw8QFRXFmV2mpn6SlZWFo0ePYsmSJdixYwdCQ0OxatUqBAcH671dVKm3\nR48ejXr16lXKAkUoFGLTpk2c18mb6O0QqaioCEuXLi2lHHg8Htq0aYPw8HCtGp1lWcTHx6N27doG\nHVQtW7YsMXPTFwqFAvv27UO9evW03qP08PBAs2bN0LJlS3h7e2v8uJiZmWHXrl0V1rFSqURqaiq+\n/fbbtz4DQGVFKBRi3LhxePDgAbKyshAbG4s9e/bgww8/hL+/f4ntHj8/P+zdu1enU/K7d+9WOY+8\nubk5XF1d4eXlpfYiEovFsLa2xtChQ5Gamsq5Ek1MTES3bt3U2TgFAgFEIpFBPrZeXl44ffq02non\nLy8Pe/bsgY+Pj9b3mD59Oqf1oQm9u3KGhYVh5syZaNWqFdq3b4/ly5cjLS2tUo2tVCr1utTVJOPG\njTOYSYkqPfKJEyfw22+/Yfjw4WjZsiV8fX3VStXMzAwNGzbEjz/+iOjoaMjlcsjlcrx48QJff/01\n3Nzc1GUXiUT46KOPUFhYqPXzlUolbty4gV69epX60r+rnk/jxo0rla5atZeWlpaGEydOYOvWrdi9\nezeio6N13lfLz89Hu3btSj3f1dUV06ZNw44dOzBhwgSdbXwZhsHChQs57a9KpRJz5swxSrswDIOv\nv/661PuwLIv9+/drNZvn8Xg4dOgQZ/VRFgaxA30zgrYuicLmzZtnsAa0sLDAuXPnDL7v9Lp5lUKh\nQGJiIq5evYqLFy/i+vXryMnJKVV/qrqNjIzEpk2b8O233+LChQs6eWWpjKivXr2Kbdu2YefOnThz\n5gwuXbqE06dPY86cOQgKCnonFGrdunXL9ax509ytKn1BZZXSvHlzCIVC2NvbY/To0epVmGpLZdGi\nRTrvSTds2JCzeKKqPErGsqLh8XhYtWqVxjp/9eqVVgkne/fujZycHE7qozyM4olUGVRL+IYNGxqs\nAbt27QqJRGLsV692qOIYrFq1yuiBeasiFhYWOHDggMFN1jIyMnD//n1ERkZqdPRITk6u1BL1dQkI\nCChTYVT2IyCVSvHxxx8b9UPZv3//UnFDWZbFhQsXytwO4fP5cHBwwOTJk/Hq1au39xSeC1Rf5fv3\n76NXr14GbcxffvlFb5vyUqkU6enpiI+PR2ZmptoE422CZVlERUWhc+fORleGusiwYcOq5QdSoVDg\n448/1umdrK2tERoaqu5LLMuioKAAYWFhWLduHX755Rfs2rULqampZS71VYdGCxcurPKebVVFIBBg\n1KhRuH79OrKyspCamopdu3YhMDCw1LX29vYYP3489u7di+fPn5fp9acPqoUCZVkWMpkMKSkpiIqK\nwrFjx/DTTz9hzJgxRskP/+uvv2r0KpHJZEhPTy/TrES1BH716hVevXql3l9jWRZ5eXk4ceIEBg4c\nCHd3dzg7O8PT0xMjRoxAaGio3tM5cA3Lsrhz585bl6TsTUVT3bh3757OVhmdOnXCzZs3ERERgdWr\nV6Ndu3awsbEpoZSCg4OxefPmUokM09PTsXnzZoSEhFQrhwsbGxu4u7vD1dVVowtojRo1EBoaajTX\nbaMrUNVs5oMPPoCrqyusra0hEomMunzo1auX2j0P+GdmcOvWLYwZM0YdMGL37t0lFKREIsHp06fR\nt29fODo6wsnJCZ07d8aMGTPw8ccfo3379mWadVlbW+Ozzz5Dbm6ukVujcrx8+RI1a9Y0+iCrjPj4\n+FTrelYoFFi/fr3OHyZLS0tYW1uXu5dqZmaGjh07YsmSJdi2bRvmzp2LunXraszdVd1l+fLlRv0Y\ncpqVs7IAoNTUVBo4cCCFhYUZqxil4PF41KtXL5o+fTpZWVnRoUOHaOfOnZSZmam+RigUUrt27ahX\nr14kFovp/PnzdPbsWZ3TEPB4PJo0aRKtXLmyRATv6grLsnTw4EF6//33q00WVG3w9fWlR48ekbW1\ntbGLUiZKpZJu3LhBV69epeTkZPLy8iJnZ2cqLi6m0NBQunTpEqWlpVX5OQzDEI/HU+eYf9vw8vKi\nK1eukK+vr/EKYTTVjX9mn5s2bTL6V6wsUYWjK+8ahmE4my3z+XysXr3a6MvL1y0BEhIScPv2bYSF\nheHJkyeIjIzE7du3sWLFCri7uxu9jSorlpaWOH78eIlDldcPWfLy8vDy5csKsxEYqg1et1xRtcnD\nhw/RunVro9elvkQkEqFBgwZo0KBBmas2Pp+Pb775xuhjxegKdMaMGUZvsOokHTp0QF5enl7rnGX/\nic2oCr32+gBVKpXIycnBoUOH0L9/f/j6+qpTJdjb28PFxeWtTykSGBioPlApLCxEdHQ0Dhw4gFGj\nRqFhw4aoWbMmWrZsiYMHD5abLkZVjyovOkNFUFK5Ujo6Opb5jjVr1kTfvn3RrVs32NnZGb3OtRUf\nHx8cO3YM2dnZyMnJwd27d7FixQr07dsXtWvXhp2dHerVq4eFCxeqzfoqW3dcYnQFunXr1lKzPKFQ\niFq1auH999/H+PHjMXjw4P+M33b9+vX1GoVHIpFg165d6N69Oxo1aoQuXbpg8eLF2Lx5MzZv3ozP\nP/8c9erVeyv3wyojQqEQfn5+qFOnDtzd3TWuNGxtbbFx40aNBxRKpRK3b9/GkCFDEBAQAH9/fwwc\nOBC3b982iANGcXExRo4cqfHdWrRogb///htKpRIymQxhYWHo0aNHtXfX5fP52L59e5lhAV+9eoVn\nz55VyhFHNTFQHQA/f/6c03YwugLNzs7GmDFjYG9vD3t7e3Tr1g179uxBSkqKevmi8rhZt24dmjVr\nVqWArFURhmFga2uLXr16YebMmejdu7dOUbXLEpFIhO+//15vLqQymQxffvmlKa98JcTe3h5btmxR\nOyawLIvCwkKsX79eo6G5p6cnzpw5Y5BANNu2bSulFHk8Hk6cOFHq+ZmZmfjwww9LnbCbm5vD0tKy\nWjhH1KtXD2lpaVWuF7lcjqysLLx8+RIXLlzA+vXrMXnyZLRu3Rp16tSp0v3fpFqcwhcVFeHly5dI\nSEgoNzCCSuGq8rYYylbN3NwcAQEBmD9/vjp+qGogHT58GJ6enjrf28zMDF5eXhg0aJA6YZe+uHfv\nntHt+95GsbCwwIgRI7BmzRosX74cffv2Lfcj3rBhQyQlJemtHVU8f/68VAZLMzMzPHjwoNS1qv66\nevVqtGrVCh07dsS3336Ls2fP4vr16/j222+NblGxcOFCnT88KrvXQ4cOYdy4cfD19YWTkxMsLS1h\nZmYGPz8/TJo0CQsXLqxapb+B0RWoLqiU7tmzZ9G9e3e9Le2FQiGGDRuGkydPIjs7GwqFolQDK5VK\n3Lp1C/369UNAQABq1aqFdu3aYdKkSWjTpk25CsvPzw87duxARkaGxuj5XHP06NFqMdN4W4XP52u1\nDObxeFi5cqXe21MqlaJv376l+uz9+/c1Xq/a4y4sLFQfkr2+9x0eHo7u3bsbvI8wDIN27dohOTlZ\np3pgWRYpKSkYNmyYxngCXl5eOHfunDpSPpe8lQpUBcv+k5d92rRpetnf6datW6lgE2WVQyaTIScn\nRx3dXpVjfv/+/RpzGdnY2ODixYsGPUV8+PBhCcNqk+hPJk+erHfjbpZlcfjw4RJKozwFqs39EhIS\n0KpVK73Xj6OjI5o1a4YBAwZgw4YNVXK9lEqleP/99zUqfj6fj2XLlmmc/HDBW61Agf93PwsJCeG8\nkSdNmlTlSlcqldiwYUOpJd/48eMN7n1UXFyM1atXqzOGCgQCuLu7o27dum+dR1F1lxkzZhgkHKJE\nIsGMGTPUq7B69eohJSVF47Xa+MSzLItz587pbZ+cYRgMGzYM9+/fh1wu1znA0Ovl/euvv8q0DAkM\nDOQsHbMm3noFCvxTiYsWLeK8sevVq8dJnEWJRIJ58+bB3NwcPB4PtWvXRnh4OEdvXzmUSiWio6Nx\n69Yt3LlzB8+fP0d6ejrCw8OxZMmSEmHxTKKbiEQi7Nmzx2Cri7y8PPz666/44IMPNAZ8Vtm3/vXX\nX9i4cSPCwsLKVe4JCQnlmkhVRQYOHKiT+VFZFBcXo3fv3hqfxTAMfvzxR722wzuhQAHgypUrnC/j\nGYbB2LFjkZGRUeVGkEqluHz5MtatW1dtMgq+CcuyePToEQYOHGg6qddRxGIx5s6di6KiIoO3XVkz\nuaysLAwePFi9CnJ2dsYff/xRpo1rbGysXlYkgYGBiIiI4PSdIyIiSh2kqaRRo0Z49eoVZ8/TxDuj\nQCMjI/USUZ3P56Nr1644d+4csrKy1PubMpkMRUVFb0X62crAsizy8/Oxb9++cv33TfL/YmlpCXd3\ndwwbNgz79+83uPIsD5Wt9ZsHrfb29tixY0epaGDFxcX46aefOD2Y5fP5aNmyJcLCwjgdKyzLYuPG\njRqf6ePjg9u3b+t9bBrUF55lWUpPT6eHDx/StWvXiM/nU69evahRo0YkEomqdO/i4mIaM2YM7du3\nj6PSlsTCwoJq1KhBISEhZGFhQXl5eZSXl0fu7u7Us2dP6tGjB5mbmxPDMHp5vqEBQAUFBXT58mVa\nvnw5Xb169a31mdYHVlZWVLduXerfvz+1bt2a6tWrR9bW1mRmZqaxDwAglmUpKyuLUlNT6d69e1RQ\nUECtWrWi4OBgMjc310s5AdDkyZNp48aNpf5mY2NDEyZMoA8//JCsrKxIIpHQ9u3bae3atZSXl1fl\nZzMMQ/7+/jRr1iwaNWoU2dvbczo+8vPzqWfPnnTjxo0S/+7s7Ew7duyg7t276388cqmNZ8yYgfnz\n52Pv3r24f/8+oqOjkZqaipcvXyIsLAyffvopAgMD1UsJhmFgaWmJ2bNnIz09vcrPj46OrnT6WC7E\n3Nwco0ePRlxc3Ds1GwX+P9RZv379jD7Tqw5ibm6OIUOG4OLFi2p74LJCG+bm5uLhw4fYtm0bZs6c\niZEjRyI4OBgWFhYQCATg8/mwsLDAmDFjkJCQoLf2++ijj8p8H4ZhYG5uDhsbG1hYWHBqwtSzZ0/E\nxsbqZUxIJBJ8+eWXpWbKQqEQK1euNFg6Hk4VqOolVCe89vb2qFOnTql87G8Kj8dDjx49EBERUWIv\nR5OUB8uyiI2Nxfvvvw8rKyuDDy5/f38sWrQI169fR2JiIqe5qcurD13rqzLPPn78eIXLOj6f/067\n2woEAnz//fflBhpRuR2ePHkS7du31yoJG8MwGD58uN6cKFatWmVw204XFxc8evSIkz74en/OyspC\naGgoRo4cqVGnNGvWrFQke9U95HJ5mRYKuiIgPcCyLLEsS9nZ2ZSdna3V9WfOnKHu3btTu3btqFWr\nVuqlfkFBAVlZWVG/fv2od+/e5O7uXua0nGEY8vHxoa1bt9KtW7do5cqVdOLECZLJZFy/okaeP39O\nixYtosWLF1PNmjWpXr169MUXX1CLFi2Ix+PpfF/8u5y+e/cuZWVlEcMwZG5uTmKxmIRCIRUXF5NU\nKqXCwkKSSCQkEonI2tqa3NzcyN/fnywtLYlhmBL1VtmlTVlLU4ZhqE6dOjRx4kRq3rw5AaBz587R\npk2b6NWrVyWutba2pqCgIBKLxZSamkpJSUkklUoJ/3zICRXsJvF4PBKLxcTn80kikRg8jJ5YLKYO\nHTqQWCwus/4A0K5du2jWrFmUk5Oj1X0B0KFDh6hjx440ZcoUzpedxgiPOGDAAKpXr16V3gUASSQS\nunv3Ll2/fp1CQ0Pp1atXFBkZScXFxaWuZxiGRowYQVZWViWeW1xcTMePH6c1a9ZQcnIyRUZG6lwm\nTYXkDNLjF41hGDRs2BA3btzQ+qsmlUpx9OhRBAcHG80Dx8fHB0+fPtX5S6xUKnHt2jW0bdu2hC0p\nwzAQCoUQi8UQCoWl3o/H48HOzg516tRBx44dMXPmTKxduxa7d+9GaGgoXr16VeIQrLylqFQq1ZgV\n1cvLC0uWLEFKSkqJ37Isi6dPn2LatGmoXbs2goODMX36dNy+fRu5ubmQSCR49eoVwsPDce/ePVy7\ndg0bN27EpEmT0K5dO3VQbTMzM1haWiIkJASffPIJLl68iCdPnuDp06fqWYih4yKMGjWqzGhZLMvi\n8ePH8Pb21uneAQEBeP78OadLXqVSialTpxq0jiwtLXHjxg2dy6xyy9y5cydatWqldbZSd3d3REdH\nl3r/tWvXlvAI5JK3RoGqJCgoCFFRUVqXiWVZvHz5EnPmzIGbmxvMzc3VA9Pa2przfZ83hWEYrF+/\nXqdBUVxcjB07dnAad5PH48HKygo1atRA/fr1MW7cOCxbtgxr167Fzp07ERYWhuTkZGRlZSEjIwM3\nbtzAlClTSnRigUCAYcOGISoqqsKlbEpKClJTU7XyBFHZK8bExODRo0d48OABoqKiSmQHeJ2ioiJ8\n9913Bo0cJRQKMX/+/FIn7Spf8zddKyvbV8aMGcOZnSTL/pNd09fX12D1w+fzMWvWLJ2dRJRKJe7d\nu4f+/ftX6uNoYWGBNWvWlLJvff78eSkffy556xQokW5JwYqLi5GUlISLFy/iyJEjuHv3Lp4/f46b\nN29ixowZeg2ysWbNmkoNCNVez9KlSw26lysQCGBjYwMXFxe4ubnBzc0N1tbWpQb5qFGjODWGrgqF\nhYUYPHiwweqI6B9D+aVLl0IqlarLIZfL8eOPP1Y5nxCfz0evXr1w8uRJJCUlITU1Fbm5uZXeT1f1\noSFDhuhtgqDKgunq6go3NzcEBwdj6dKlyM/P16ktFQoFjh8/XqkZvCrP09atW0spbZZlsWPHjlJ7\n0FxicAVqa2sLT09PODg46Gz4zqWnh2pz+dtvv9XbAci6deu0LqtMJsO5c+fQoUOHapXc6/X2U+Uz\nry7cvn3b4K6o5ubmmDNnDiIiIhAdHY1FixZx+hFWBbD28PBAq1atMGvWLNy9e1er02WWZZGUlISR\nI0fqrU/Xr18f69atQ2RkJNLT05GZmamTolehUCiwa9curZNIikQitGnTBps3b0ZaWprGenmnFKiF\nhQXmzJmDmzdvIiEhAffv38emTZt0Njvy9/fHw4cPOVOiaWlp8Pf310tn++GHHyosp1KpxOPHjzF+\n/HijWBBoKy1atCgz/7ixUCgUGDFiRIVld3V1Rd26dTnL9MowDKytrWFra2uQYMXOzs7YtWtXmUFK\nlEolXrx4gfXr16NBgwZ6mXnyeDx0794dL1684OwjqlAosG/fPq2ykQoEArRu3RoHDhwoN/Ql8P/b\nd3Xr1i1xDy4xmAIdPXp0qZBtKrOjOnXq6NSYtWvXxsWLFzmJtKJQKPD555/rpePXqVNHfTjwusjl\ncsTExOD06dMYN26cXjypuJYRI0ZUuxTMLMvi+vXrZc5CLSwsMGvWLERERKCwsBCPHz/GJ598Uq0/\nVGWJtbU1Fi9ejKysLHU/KigowKVLl/DBBx+gRo0aeluy29jY4OOPP+YkPoSq3YqLi7F3794Kfe+d\nnJzQt29fHD58WKsIaa8/48mTJxg2bBjq168Pd3f3Kpf7dQyiQBmGwV9//VXmKe/27dt19r22tbXF\nzJkz8fDhQ8jlcp3tH1XKvGnTpuoOyDAM+Hw+BAIBhEJhlZZDAQEBmD17NtatW4fZs2ejc+fOaNGi\nBdzd3d+qGJ2NGzdGdnY2B72FWxQKBb744otS2x52dnb47bffSrgsqgbu2rVrjZbdoCrCMAzq1auH\noUOHYsiQIWjSpIleYhfweDzUr18fI0aMwIYNG/DgwQNOXJdft+n85ptvyvzw8fl8tGjRAr/++isi\nIiJ0niix7D/xTrOyshATE1Olsr8Jp66cZdl88Xg8un79OrVs2VLj3wsLC2nMmDH0559/EsuyOj3b\nycmJGjZsSP369SMnJyeytrYmKysrcnBwIA8PD7K0tCSRSER8Pr9cG76kpCQ6fPgwRUdHU82aNalV\nq1ZkY2NDREQZGRl04MABOnLkCKWkpOhUzrcdCwsL+uuvv6hTp07Vym0VAOXl5dGqVavojz/+oNzc\nXKpfvz59/fXX1L17dxIISps8FxYWUrt27ejBgwd6L59AICCGYUipVOrcxw2JSCSi2bNn05w5c8jJ\nyUnntgZASqWS5HI5SSQSev78OcXExFBsbCzt37+fnj59qrE+XF1dafHixTR06FCytbWtVn3tdQym\nQK9cuUJt2rTR+HcAlJGRQWvWrKE///yTMjIyyNnZmWrVqkWFhYV0584dSk9P17ocPB6PhEIhCQQC\nMjMzIwsLC7KwsKDOnTtTmzZtqEePHuTk5KSTcbtSqaTHjx/T1KlT6fbt25X+/btA69at6eDBg+Tm\n5lbtOrZSqaTU1FSSyWTk4OBANjY2ZZaRZVnq378/nThxgvNyMAxDbm5u1L17d6pRowb5+fmRlZUV\nxcXFUWRkJP3111+V6tOGZsSIEbR582adffQBUE5ODp0+fZpCQ0MpNDSUioqKKD8/n/Lz88v9iHh5\nedGWLVuoc+fOVXJAMQhcTmepnCXHuXPnKvy9KqVueno6cnJyIJVKUVRUhPDwcHTo0IGTZYlQKERA\nQAB27NhRbsra8mBZFpGRkahVq5bRl3Oa3i8oKAh169bVa1Dc0aNHV6uoQ7qgUCj0En2dz+dj9OjR\niI2NVW8rqVBtHzx58gTt27c3en/RJGKxGMePH9d5qc6yLC5duoSmTZtWeotEKBRi69atBvNlryoG\nU6AnT57U+b4sy+LixYucKgRbW1ucO3euSp1kxYoVRu/sb9bzrFmzkJ2djdzcXCxcuFBvZixisRin\nTp2qVuZMlSU9PR2BgYGc1027du2QmZlZ4QlxdHQ0/Pz8jN5v3hRPT88qBfd5+vQpvLy8dHp2UFAQ\nUlNTdX62oTHY/Lgq+z4Mw5Cvr2+VQ969Tm5uLt29e7dK9/D19dW4t2YsLC0taeDAgWRra0vW1tY0\nYsQIcnR01MuzpFIpxcbG6uXehiIxMZEyMjI4v2/Dhg0rDN3GMAz5+flRUFAQ58+vKnw+v0pj7cmT\nJ5SYmKjTb+vWrUv29vY6P9vQGDQeqAkTJky8S1TzHVoTJkyYqL6YFKgJEyZM6IhJgZowYcKEjpgU\nqAkTJkzoiEmBmjBhwoSOmBSoCRMmTOiISYGaMGHChI6YFKgJEyZM6IhJgZowYcKEjpgUqAkTJkzo\niEmBmjBhwoSOmBSoCRMmTOiISYGaMGHChI6YFKgJEyZM6IhJgZowYcKEjpgUqAkTJkzoiEmBmjBh\nwoSOmBSoCRMmTOjI/wEexfK4uFz77gAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 30\n",
            "    beta = 4.2794e+01\n",
            "    J = 7.9060e-01\n",
            "    grad_norm = 1.8859e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Px4YNGzBv3jy0a9cObm5uWoXq5OSEqVOnIisry2Rt+Pbbb+t9HrFYjObNmyMkJAQdO3aE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\nrkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 31\n",
            "    beta = 4.4235e+01\n",
            "    J = 7.9688e-01\n",
            "    grad_norm = 1.5441e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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lZWHUqFEG9y69vb2xd+/eKgXQ0AVNfdHn19RiLgWq0WiwYcMGeHl5VXlgiEQi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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 32\n",
            "    beta = 4.5676e+01\n",
            "    J = 8.0328e-01\n",
            "    grad_norm = 1.4010e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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PRqHa2dlhzJgxWu2Eueq/cePG6XweBwcH9O7dG/PmzcP48ePh7e3N2QfQyckJ69evR0lJ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\nA/k/Xq54d3Fk1M0AAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 33\n",
            "    beta = 4.7118e+01\n",
            "    J = 8.1052e-01\n",
            "    grad_norm = 1.0662e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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GjBmDVatWYc6cOfD39+fNhM7BwQG//PKLSbyJVCoVli1bVqasDMNg9uzZBp+RVBVel/AV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\nihUrRvJ/bsWpDrRe73QAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 34\n",
            "    beta = 4.8559e+01\n",
            "    J = 8.1592e-01\n",
            "    grad_norm = 1.2915e-02"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ejjt37uD27du4ffs27t69i3v37iEqKgq//vorGjdubNSF9cYbbyApKckoDDQn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\nMeVkaGrGuWLFCgQFBcHOzg4NGzaEv78/GjVqVGm8UIFAgA4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cXFzg4uKCRo0aYdy4cXj4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\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step = 35\n",
            "    beta = 5.0000e+01\n",
            "    J = 8.2106e-01\n",
            "    grad_norm = 1.4163e-02"
          ]
        }
      ],
      "source": [
        "# assert False\n",
        "from tidy3d.plugins.autograd import adam, apply_updates\n",
        "\n",
        "# hyperparameters\n",
        "num_steps = 35\n",
        "learning_rate = 0.1\n",
        "\n",
        "# initialize adam optimizer with starting parameters\n",
        "params = np.ones_like(params0) * 0.5\n",
        "optimizer = adam(learning_rate=learning_rate)\n",
        "opt_state = optimizer.init(params)\n",
        "\n",
        "# store history\n",
        "objective_history = []\n",
        "params_history = [params]\n",
        "beta_history = []\n",
        "\n",
        "# gradually increase the binarization strength\n",
        "beta0 = 1\n",
        "beta_max = 50\n",
        "\n",
        "for i in range(num_steps):\n",
        "    # compute gradient and current objective function value\n",
        "    density = get_density(params, beta)\n",
        "\n",
        "    plt.subplots(1, 1, figsize=(2, 2))\n",
        "    plt.imshow(np.flipud(1 - density.T), cmap=\"gray\", vmin=0, vmax=1)\n",
        "    plt.axis(\"off\")\n",
        "    plt.show()\n",
        "\n",
        "    perc_done = i / (num_steps - 1)\n",
        "\n",
        "    beta = beta0 + perc_done * (beta_max - beta0)\n",
        "    value, gradient = grad_fn(params, step_num=i + 1, beta=beta)\n",
        "\n",
        "    # outputs\n",
        "    print(f\"step = {i + 1}\")\n",
        "    print(f\"\\tbeta = {beta:.4e}\")\n",
        "    print(f\"\\tJ = {value:.4e}\")\n",
        "    print(f\"\\tgrad_norm = {np.linalg.norm(gradient):.4e}\")\n",
        "\n",
        "    # compute and apply updates to the optimizer based on gradient (-1 sign to maximize obj_fn)\n",
        "    updates, opt_state = optimizer.update(-gradient, opt_state, params)\n",
        "    params[:] = apply_updates(params, updates)\n",
        "\n",
        "    # cap the parameters\n",
        "    params = np.clip(np.array(params), 0.0, 1.0)\n",
        "\n",
        "    # save history\n",
        "    objective_history.append(value)\n",
        "    params_history.append(params.copy())\n",
        "    beta_history.append(beta)\n",
        "\n",
        "power = objective(params_history[-1], beta=beta)\n",
        "objective_history.append(power)"
      ],
      "id": "7e46dc76"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [],
      "source": [
        "params_final = params_history[-1]"
      ],
      "id": "f5433065"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Analyzing Results\n",
        "\n",
        "Now we can take a look at our optimization results and make some\n",
        "figures.\n",
        "\n",
        "We’ll first plot the objective function value history, and then look at\n",
        "the transmission spectrum and field profiles of our final device."
      ],
      "id": "264b328c-2c74-43db-b80f-4a1fd607c1c6"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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qtWrxlpV6bcFHOpUQXeC6+lVqq129FudveWyp+lVqy8HBwcCkAAAAxqMMAwAA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          }
        }
      ],
      "source": [
        "plt.plot(objective_history)\n",
        "plt.xlabel(\"iterations\")\n",
        "plt.ylabel(\"objective function\")\n",
        "plt.show()"
      ],
      "id": "71c934a1"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [],
      "source": [
        "mnt_fld = td.FieldMonitor(\n",
        "    size=(td.inf, td.inf, 0), center=(0, 0, 0), freqs=[fmin, freq0, fmax], name=\"fields\"\n",
        ")\n",
        "\n",
        "sim_final = get_sim(params_final, beta=beta)\n",
        "\n",
        "sim_final = sim_final.updated_copy(monitors=list(sim_final.monitors) + [mnt_fld])"
      ],
      "id": "ab4e950a"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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168jMzAQABAcHo1GjRjXSb020V5Fr164hNjYWZrMZEydOxPfff1/ucb/88gvG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\nIiIiIiIiItlgwZKIiIiIiIiIiIhk4/8BnxgWXiI55C8AAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "sim_final.plot_eps(z=0, monitor_alpha=0.0, source_alpha=0.0)\n",
        "plt.show()"
      ],
      "id": "d65932b4"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "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\">13:27:09 UTC </span>Loading simulation from local cache. View cached task using web UI \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>at                                                                 \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b397f234-07ed-450f-bf60-be712f8b4952\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-b397f234-07e</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b397f234-07ed-450f-bf60-be712f8b4952\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">d-450f-bf60-be712f8b4952'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "transmission = get_transmission(\n",
        "    params=params_final, beta=beta, step_num=None, verbose=True, use_broadband=True\n",
        ")"
      ],
      "id": "74da93ef"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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TExUbG6vo6Gi1atVKEyZM0Pbt22t8bUVFhRYtWqR7771X3bp1U0pKikwmk6Ki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\nyszM5NlVzezcudPl/XXbbbfpkUcecfmcKPhev2rVK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          }
        }
      ],
      "source": [
        "plt.scatter(freqs / 1e12, target(freqs), label=\"target\")\n",
        "plt.plot(freqs / 1e12, transmission, label=\"measured\")\n",
        "plt.xlabel(\"frequency (THz)\")\n",
        "plt.ylabel(\"transmission (P_out / P_in)\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "2df0c517"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We see that the final transmission spectrum more or less matches our\n",
        "expected bandpass filter!"
      ],
      "id": "85c43a05-2c41-4f33-b3ee-13d984043fb4"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "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\">             </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'final'</span> with resource_id                              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-31a6d8a3-283d-4468-afd9-58fb8386f64c'</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-31a6d8a3-283d-4468-afd9-58fb8386f64c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-31a6d8a3-283</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-31a6d8a3-283d-4468-afd9-58fb8386f64c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">d-4468-afd9-58fb8386f64c'</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\":\"c48cd97ca374496b9f2b7b7969771875\",\"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\">13:27:12 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:27:13 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\":\"bf402c64aca948db81224bbd784acc53\",\"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\">13:27:22 UTC </span>status = preprocess                                                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:27:27 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\":\"8f78e35a815c4b32b3590b160567f25e\",\"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\">13:27:30 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">23</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\":\"c6350955e83247fdb30f8d3f1c66f312\",\"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\">13:27:35 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\">13:27:37 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-31a6d8a3-283d-4468-afd9-58fb8386f64c\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-31a6d8a3-283</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-31a6d8a3-283d-4468-afd9-58fb8386f64c\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">d-4468-afd9-58fb8386f64c'</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\":\"16da3d6974e241f1bc2a5b634203bc4a\",\"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\">13:27:41 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data_final = web.run(sim_final, task_name=\"final\")"
      ],
      "id": "cfd2c378"
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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Z99FM9KIxEjRNWojOWDpGEyXe7VZX4tdRm0K2lvaMgzFXrRr+lrUKOOTaGiOS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TfOp0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KlI60VrDFCeb6KfOJpuYmKGSnCsmJaGjYkuRc+aY5rs9382dfehLroCd69N0Cg3I5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rEderojeajzkeC268S+buv1DnzdwWv7BRgIT8IvokpfuMnJe3FGk6ToDtMIJtMJqkQ0LRXx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\nEARBEARBGCFEfAuCIAiCIAjCCCHiWxAEQRAEQRBGCBHfg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oDpT/9bWloiQb9u3bqqy/m+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sXbuWJEmYmpri9OnTHDp0iPvuu4/jx4/Tbrf56Ec/ykc/+lFe+9rX8sEPfpDbbrvtfA91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YDRs2AN4tb8dxeOyxx7j88stL6ouK8qj4njRpEnPmzOG5555j1apVPPbYY3z4wx+u2K9cLsdd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HkWkVyXLnaQRSCItE+sWqi4hgGUatPwp1NpSyp1MIl0QCuf5dZ5KvImN0w/nixiiwxZ0UfO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\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aPCSDZhRP+AjPI7NtEttmXszhpYr+uIgUEk94SGFpaUkztTRTQ505Et1g+44bECLA98qE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\n"
          }
        }
      ],
      "source": [
        "f, axes = plt.subplots(3, 1, tight_layout=True, figsize=(10, 6))\n",
        "\n",
        "for ax, f in zip(axes, (mnt_fld.freqs)):\n",
        "    sim_data_final.plot_field(mnt_fld.name, field_name=\"E\", val=\"abs^2\", f=f, ax=ax)\n",
        "    ax.set_title(f\"wvl={1000 * f / td.C_0:.0f} (nm)\")"
      ],
      "id": "20949034"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We see that the field patterns at the middle and edges of our spectrum\n",
        "behave as we would expect, respectively blocking and transmitting the\n",
        "light.\n",
        "\n",
        "## Using Inverse Design Plugin\n",
        "\n",
        "Tidy3D now supports a higher level syntax for defining inverse design\n",
        "problems in a simpler way.\n",
        "\n",
        "Here we’ll show how to set up this same problem using that tool and run\n",
        "it for 2 iterations.\n",
        "\n",
        "For a full tutorial, refer to [this\n",
        "example](https://docs.simulation.cloud/projects/tidy3d/en/latest/notebooks/InverseDesign.html)."
      ],
      "id": "3c1382af-09e4-49e6-a648-4c267379af14"
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {},
      "outputs": [],
      "source": [
        "import tidy3d.plugins.invdes as tdi"
      ],
      "id": "9804c613"
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {},
      "outputs": [],
      "source": [
        "# transformations on the parameters that lead to the material density array (0,1)\n",
        "filter_project = tdi.FilterProject(radius=radius, beta=beta_history[-1])\n",
        "\n",
        "# penalties applied to the state of the material density, after these transformations are applied\n",
        "penalty = tdi.ErosionDilationPenalty(weight=1.0, length_scale=radius)\n",
        "\n",
        "design_region = tdi.TopologyDesignRegion(\n",
        "    size=design_region_static.geometry.size,\n",
        "    center=design_region_static.geometry.center,\n",
        "    eps_bounds=(\n",
        "        1.0,\n",
        "        eps_mat,\n",
        "    ),  # the minimum and maximum permittivity values in the final grid\n",
        "    transformations=[filter_project],\n",
        "    penalties=[penalty],\n",
        "    pixel_size=dl_design_region,\n",
        "    initialization_spec=tdi.CustomInitializationSpec(\n",
        "        params=params_history[-1].reshape((nx, ny, 1)),\n",
        "    ),\n",
        ")"
      ],
      "id": "56bf4cb1"
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {},
      "outputs": [],
      "source": [
        "design = tdi.InverseDesign(\n",
        "    simulation=sim_base,\n",
        "    design_region=design_region,\n",
        "    task_name=\"invdes\",\n",
        ")"
      ],
      "id": "31b05369"
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {},
      "outputs": [],
      "source": [
        "def post_process_fn(sim_data, **kwargs) -> float:\n",
        "    amps = sim_data[mnt_mode.name].amps.sel(direction=\"+\", mode_index=mode_index)\n",
        "    transmission = np.abs(amps) ** 2\n",
        "    return get_metric(transmission)"
      ],
      "id": "62379c04"
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {},
      "outputs": [],
      "source": [
        "from pathlib import Path\n",
        "\n",
        "Path(\"data\").mkdir(parents=True, exist_ok=True)\n",
        "\n",
        "optimizer = tdi.AdamOptimizer(\n",
        "    design=design,\n",
        "    num_steps=1,\n",
        "    learning_rate=learning_rate,\n",
        "    results_cache_fname=\"data/invdes_history_filter.hdf5\",\n",
        ")"
      ],
      "id": "606dedbd"
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "step (1/1)\n",
            "    objective_fn_val = 7.017e-01\n",
            "    grad_norm = 1.130e-02\n",
            "    post_process_val = 8.821e-01\n",
            "    penalty = 1.804e-01"
          ]
        }
      ],
      "source": [
        "result = optimizer.run(post_process_fn=post_process_fn)"
      ],
      "id": "4ff4dd4b"
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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QlpYGAAgICEC9evWc0q8z2ivNjRs30KhRI5hMJowaNQo///xzicetX78eTz75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NChQtO/R44ciRYtWuDq1auYPn16icXaFi1aAADMZjMOHTqEhx56yLWJEREREZFH4whLIiIi\nIic0b95cXPNx/fr1+OKLL2C1WjFkyBDcvn0bAQEB+OWXX6DVah1qPykpSfw+MjJSkpjLqm7dupg2\nbdo9a1WOHTsW/v7+EAQBn3/+OebMmXPPWpWhoaF4/fXXAQD79u1DZmZmsf1UqlRJ/L5gvkRERERU\nMbFgSUREROSkUaNGoW/fvgCAt956C88//zy2b98OAJg3bx4aNGjgcNupqani9xEREc4Faqfnn3++\nyI17/Pz8xAKln58fnn766SIf37ZtW/H7c+fOFdtPwbwK5ktEREREFRMLlkREREQS+P7771GzZk0Y\njUYsW7YMAPDMM8+I08IdVXBTnICAAKfaslfz5s2Lvc822rNhw4bw8fEp8piCIyd1Ol2xbRXMi2tY\nEhERERELlkREREQSCA8Px8cffyzeDg0Nxfz58yVp16akop8rBAcHF3ufbQfyshwD3Nm1vDgF8yqY\nLxERERFVTCxYEhEREUkgLy8PM2bMEG/rdDqsWfP/2ru/0B7/BQ7gbxs1KxcmhQ2NlLIUZUorXEih\n/ClFwg3JuF5KK1y42oUbUUJMa7kRwpIbtJpZLuSCFPInpKS1/JnVzsXp7Pgdzolt53wfx+t19e35\nPs/n837uvr2/z+f5XBjxuN8+pfj+/fsRj1dE3+6u/u39AgDwZ1JYAgCMgr179+bhw4cpKyvLvHnz\nho49fvx4ROPOmDFj6PM/dgsfqYGBgVEZZ7R8e18zZ84sYRIAAIpAYQkAMELt7e05ffp0kqS5uTkd\nHR2pqqpKX19fNm3alP7+/mGPPXny5MydOzdJ0tPT89PX/ady8+XLl8PO89/Q3d2dJKmsrMzChQtL\nnAYAgFJTWAIAjMCTJ0+ya9euJElDQ0Oam5tTU1OTU6dOJUnu3buXffv2jWiOpUuXJknu3Lnz09d0\ndnb+8Hh/f3+uXr06ojyjraurK0myZMmSjBs3rsRpAAAoNYUlAMAwff36NZs3b05vb28mTpyYtra2\nlJeXJ0nWrl2bPXv2JEmOHDmSa9euDXueVatWJUkeP37808vCm5qa8uDBg78c+/TpU3bs2JEXL14k\nSb58+TKipz9Hw+fPn3P37t0k/7xPAAD+bApLAIBh2r9//9By5pMnT2b69Ol/+b6lpSXz58/P4OBg\ntm/fPux3UK5evTrV1dUZHBxMW1vbT1+3YMGCNDQ0ZOvWrVm3bl1qamrS2to6tOx6YGAgK1asyKFD\nh4aVazRcunQpfX19qaioyLZt20qWAwCA4lBYAgAMw/Xr19PS0pIkaWxszPr16787p6KiIu3t7ams\nrMy7d++ydevWDA4O/vJc5eXl2blzZ5Lk7NmzP3XNxYsXM2vWrHR2dubcuXO5ePFiPnz4kMbGxty8\neTNz5sxJkty6dSsdHR2/nGm0tLa2Jkk2btyYSZMmlSwHAADFMWZwOL+aAQD+cJcvX87bt28zZsyY\nbNmyJRUVFf/23Nu3b+fRo0dJkjVr1mTKlCm/PN+bN28ye/bsfPz4Md3d3Vm0aNF35xw/fjy7d+9O\n8vfl6mVlZenq6srTp08zfvz4LF68ONXV1UmS3t7edHR0ZMKECVm+fPlQ/tevX+fKlStJkg0bNqSq\nquqHeW7cuJFnz55l6tSpWb169Q/P6e3tzfnz55MkK1eu/O4J1FevXqW2tjYDAwPp6emx4Q4AAEkU\nlgAAv40DBw7k4MGDWbVq1VCp+K1/LSzHjh37v474SxobG3Ps2LFs27YtZ86cKXUcAAAKwpJwAIDf\nRFNTU6ZNm5arV68O7az9u3r+/HlOnjyZysrKHD58uNRxAAAokGL/7Q4AwJDKyspcuHAh9+/fH9a7\nMIukt7c3R48eTW1t7dAydQAASBSWAAC/lfr6+tTX15c6xojV1dWlrq6u1DEAACggS8IBAAAAgMLw\nhCUAwP+JZcuW5cSJE0mS8vLyEqcBAIDhsUs4AAAAAFAYloQDAAAAAIWhsAQAAAAACkNhCQAAAAAU\nhsISAAAAACgMhSUAAAAAUBgKSwAAAACgMBSWAAAAAEBhKCwBAAAAgMJQWAIAAAAAhaGwBAAAAAAK\nQ2EJAAAAABSGwhIAAAAAKAyFJQAAAABQGApLAAAAAKAwFJYAAAAAQGEoLAEAAACAwlBYAgAAAACF\nobAEAAAAAArjb4tarH2AYKNvAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "sim_last = result.sim_last\n",
        "ax = sim_last.plot_eps(z=0, monitor_alpha=0.0, source_alpha=0.0)"
      ],
      "id": "f8e665e8"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}