{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Inverse design of a digital power splitter\n",
    "\n",
    "Reducing the size of silicon photonic devices while preserving performance is crucial for compact applications like on-chip optical interconnects, prompting interest in inverse design techniques for ultracompact and high-performance devices. \n",
    "\n",
    "In this notebook, we demonstrate the inverse design of a digital power splitter, utilizing photonic crystal-like structures composed of cylindrical holes. The design parameters are the permittivity value of each cylinder, which is controlled between that of air and silicon. The method consists of three stages: \n",
    "\n",
    " - First, continuously optimizing cylinder permittivities through adjoint sensitivity analysis to achieve an analog pattern.\n",
    " - Second, employing linear-biasing to push this analog pattern towards a quasi-digital state. \n",
    " - Finally, applying a fabrication-constrained brute-force quantization to convert the quasi-digital pattern into a fully digital (ternary) design.\n",
    "\n",
    "This staged approach minimizes performance degradation during digitization while addressing computational and fabrication limitations. The notebook is largely based on the study `Kaiyuan Wang, Xinshu Ren, Weijie Chang, Longhui Lu, Deming Liu, and Minming Zhang, \"Inverse design of digital nanophotonic devices using the adjoint method,\" Photon. Res. 8, 528-533 (2020)` [DOI: 10.1364/PRJ.383887](https://doi.org/10.1364/PRJ.383887).\n",
    "\n",
    "<img src=\"img/digital_splitter_invdes.png\" width=400 alt=\"Schematic of the inverse designed digital power splitter\">\n",
    "\n",
    "If you are unfamiliar with inverse design, we also recommend our [intro to inverse design tutorials](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/) and our [primer on automatic differentiation with tidy3d](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd1Intro/). For another example of power splitter optimization in Tidy3D, see [this example](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd10YBranchLevelSet/)."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:20.409588Z",
     "start_time": "2026-01-29T08:59:17.877386Z"
    }
   },
   "source": [
    "import autograd.numpy as anp\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from autograd import value_and_grad"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Base Simulation Setup\n",
    "\n",
    "First we set up basic simulation parameters. The wavelength of interest is 1530 to 1570 nm."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:20.415087Z",
     "start_time": "2026-01-29T08:59:20.413044Z"
    }
   },
   "source": [
    "lda0 = 1.55  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.53, 1.57, 5)  # wavelength range\n",
    "freqs = td.C_0 / ldas  # frequency range\n",
    "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # width of the source frequency range"
   ],
   "outputs": [],
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we define relevant geometry parameters. The design is based on 220 nm silicon on oxide. The air holes are partially etched with an etching depth of 140 nm. Single-mode waveguides with 500 nm width are used. The design region is a square of size length 2.6 μm. Each pixel has a size of 130 nm, which makes the design region a 20 by 20 array. \n",
    "\n",
    "Three materials are involved in this design, namely silicon, oxide, and air. "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:20.459100Z",
     "start_time": "2026-01-29T08:59:20.457054Z"
    }
   },
   "source": [
    "l = 2.6  # design region side length\n",
    "p = 0.13  # pixel size\n",
    "n = int(l / p)  # number of pixels in each direction\n",
    "\n",
    "h_si = 0.22  # silicon layer thickness\n",
    "w = 0.5  # waveguide width\n",
    "\n",
    "r = 0.045  # radius of the hole\n",
    "h_air = 0.14  # etching depth of the hole\n",
    "\n",
    "d = 1  # distance between the two waveguides\n",
    "\n",
    "eps_si = 12  # permittivity of silicon\n",
    "eps_air = 1  # permittivity of air\n",
    "eps_sio2 = 1.44**2  # permittivity of oxide\n",
    "\n",
    "# define mediums\n",
    "si = td.Medium(permittivity=eps_si)\n",
    "air = td.Medium(permittivity=eps_air)\n",
    "sio2 = td.Medium(permittivity=eps_sio2)"
   ],
   "outputs": [],
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The static structures of the design can be refined first. It consists of three waveguides and a square design region. Later in the notebook we will enforce symmetry in the y direction so in principle the bottom output waveguide is not needed. For the sake of more intuitive visualization, we will define it here."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:20.569984Z",
     "start_time": "2026-01-29T08:59:20.501646Z"
    }
   },
   "source": [
    "# define the static design region geometry\n",
    "design_region = td.Box.from_bounds(rmin=(0, -l / 2, 0), rmax=(l, l / 2, h_si))\n",
    "wg_length = 3  # length of the waveguides\n",
    "\n",
    "# define the input waveguide geometry\n",
    "wg_in = td.Box(center=(-wg_length / 2, 0, h_si / 2), size=(wg_length, w, h_si))\n",
    "\n",
    "# define the top output waveguide geometry\n",
    "wg_out_1 = td.Box(center=(l + wg_length / 2, d / 2, h_si / 2), size=(wg_length, w, h_si))\n",
    "\n",
    "# define the bottom output waveguide geometry\n",
    "wg_out_2 = td.Box(center=(l + wg_length / 2, -d / 2, h_si / 2), size=(wg_length, w, h_si))\n",
    "\n",
    "# define the entire static waveguide structure\n",
    "base_structure = td.Structure(geometry=design_region + wg_in + wg_out_1 + wg_out_2, medium=si)\n",
    "\n",
    "inf_eff = 1e2  # effective infinity\n",
    "\n",
    "# define the box structure\n",
    "box = td.Structure(\n",
    "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "# plot the static structure for visualization\n",
    "base_structure.plot(z=h_si / 2)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create a [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html) to excite the fundamental mode at the input waveguide and a [ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html) to measure the transmission power of the mode at one of the output waveguides. Due to symmetry, the power on both output waveguides is identical. "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:20.575570Z",
     "start_time": "2026-01-29T08:59:20.572832Z"
    }
   },
   "source": [
    "# add a mode source as excitation\n",
    "mode_spec = td.ModeSpec(num_modes=1, target_neff=np.sqrt(eps_si))\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-lda0 / 2, 0, h_si / 2),\n",
    "    size=(0, 1.9 * w, 6 * h_si),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# add a mode monitor to measure transmission at the output waveguide\n",
    "mode_monitor = td.ModeMonitor(\n",
    "    center=(l + lda0 / 2, d / 2, h_si / 2),\n",
    "    size=mode_source.size,\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode\",\n",
    ")"
   ],
   "outputs": [],
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this design optimization, the design parameters are an array of 200 permittivity values between 1 (air) and 12 (silicon). Here we create a function that takes the design parameter array and returns a list of cylinders with the appropriate shape and permittivity. "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:20.620547Z",
     "start_time": "2026-01-29T08:59:20.618384Z"
    }
   },
   "source": [
    "def make_holes(design_params):\n",
    "    \"\"\"\n",
    "    Create a list of cylindrical holes with appropriate permittivity values based on design_params.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    design_params : np.ndarray\n",
    "        1D array of design parameter values.\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    holes : list\n",
    "        A list of td.Structure objects corresponding to the holes.\n",
    "    \"\"\"\n",
    "    eps = design_params.reshape((n, int(n / 2)))\n",
    "\n",
    "    holes = [\n",
    "        td.Structure(\n",
    "            geometry=td.Cylinder(\n",
    "                center=(i * p + p / 2, j * p + p / 2, h_si - h_air / 2),\n",
    "                radius=r,\n",
    "                length=h_air,\n",
    "                axis=2,\n",
    "            ),\n",
    "            medium=td.Medium(permittivity=eps[i, j]),\n",
    "        )\n",
    "        for i in range(n)\n",
    "        for j in range(int(n / 2))\n",
    "    ]\n",
    "\n",
    "    return holes"
   ],
   "outputs": [],
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Subsequently, we create a function that takes the design parameter array and creates a [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) object. Here we use an automatic nonuniform grid with a grid size of 20 steps per material wavelength as a demonstration. Since the holes are relatively small, even though subpixel averaging is very helpful, to get the most accurate result a higher resolution is recommended."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:20.664767Z",
     "start_time": "2026-01-29T08:59:20.662947Z"
    }
   },
   "source": [
    "run_time = 1e-12  # simulation run time\n",
    "buffer = 0.6 * lda0  # buffer spacing slightly larger than half a wavelength to avoid warning\n",
    "\n",
    "\n",
    "def make_sim(design_params):\n",
    "    \"\"\"\n",
    "    Create a simulation based on design_params.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    design_params : np.ndarray\n",
    "        1D array of design parameter values.\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    sim : td.Simulation\n",
    "        A Tidy3D simulation\n",
    "    \"\"\"\n",
    "\n",
    "    # create holes\n",
    "    holes = make_holes(design_params)\n",
    "\n",
    "    # construct simulation\n",
    "    sim = td.Simulation(\n",
    "        center=(l / 2, 0, 0),\n",
    "        size=(l + 2 * buffer, l + 2 * buffer, h_si + 2 * buffer),\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "        structures=[base_structure, box] + holes,\n",
    "        sources=[mode_source],\n",
    "        monitors=[mode_monitor],\n",
    "        run_time=run_time,\n",
    "        symmetry=(0, -1, 0),\n",
    "    )\n",
    "\n",
    "    return sim"
   ],
   "outputs": [],
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To visualize and validate the setup, we can create a random simulation."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:21.120743Z",
     "start_time": "2026-01-29T08:59:20.707220Z"
    }
   },
   "source": [
    "np.random.seed(0)  # fix a random seed for reproducibility\n",
    "sim = make_sim(design_params=np.random.uniform(eps_air, eps_si, int(n * n / 2)))\n",
    "\n",
    "sim.plot_eps(z=h_si / 2)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Most importantly, we create a function that takes the design parameters and compute the figure of merit, which is simply the averaged transmission power of the fundamental mode at the output waveguide."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:21.125672Z",
     "start_time": "2026-01-29T08:59:21.123877Z"
    }
   },
   "source": [
    "def fom(design_params):\n",
    "    \"\"\"\n",
    "    Calculate the figure of merit based on the design parameters.\n",
    "    \"\"\"\n",
    "\n",
    "    sim = make_sim(design_params)\n",
    "    sim_data = web.run(simulation=sim, task_name=\"inv_des\", verbose=False)\n",
    "    amp = sim_data[\"mode\"].amps.sel(mode_index=0, direction=\"+\").values\n",
    "\n",
    "    return anp.mean(anp.abs(amp) ** 2)"
   ],
   "outputs": [],
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Optimization Stage 1\n",
    "\n",
    "Now we are ready to start the optimization process. We pick the initial condition to be uniform. That is, all cylinder holes start with a permittivity value of 6.5, the average between silicon and air. \n"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T08:59:21.171119Z",
     "start_time": "2026-01-29T08:59:21.169555Z"
    }
   },
   "source": [
    "design_params0 = 0.5 * (eps_si + eps_air) * np.ones(int(n * n / 2))  # initial design parameters\n",
    "\n",
    "grad_fn = value_and_grad(fom)"
   ],
   "outputs": [],
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this stage of the optimization, we will update the design parameters continuously via \n",
    "\n",
    "$$\n",
    "\\varepsilon_r^{\\text{new}}(p) = \\varepsilon_r^{\\text{old}}(p) + \\Delta \\cdot \\delta\\varepsilon_r(p),\n",
    "$$\n",
    "\n",
    "where $p$ denotes the position of the cylinder, $\\delta\\varepsilon(p)$  is the gradient, and $\\Delta$ is a variable to control the speed. Here $\\Delta$ is chosen to be $\\Delta = 1 / \\max\\{\\delta\\varepsilon_r(p)\\}$.\n",
    "\n",
    "We will only run 25 iterations in this stage for demonstration purposes. Running more iterations can potentially be beneficial. Every 5 iterations, we will show the permittivity distribution to help visualize the progression of the inverse design."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T13:46:49.730356Z",
     "start_time": "2026-01-29T08:59:21.214737Z"
    }
   },
   "source": [
    "n_iter = 25  # number of iterations\n",
    "\n",
    "# initialize the optimization loop\n",
    "design_params = design_params0\n",
    "fom_history = []\n",
    "params_history = []\n",
    "\n",
    "for i in range(n_iter):\n",
    "    # show a permittivity plot every 5 iterations\n",
    "    if i % 5 == 0:\n",
    "        make_sim(design_params).plot_eps(z=h_si / 2)\n",
    "        plt.show()\n",
    "\n",
    "    # calculate gradient\n",
    "    val, grad = grad_fn(design_params)\n",
    "\n",
    "    print(f\"Iteration: {i + 1}\")\n",
    "    print(f\"FOM = {val:.3e}\")\n",
    "    print(\"---------------\")\n",
    "    fom_history.append(val)\n",
    "    params_history.append(design_params)\n",
    "\n",
    "    # update design parameters\n",
    "    delta = 1 / np.max(grad)\n",
    "    design_params = design_params + delta * grad\n",
    "    anp.clip(design_params, eps_air, eps_si, out=design_params)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 1\n",
      "FOM = 1.113e-01\n",
      "---------------\n",
      "Iteration: 2\n",
      "FOM = 1.574e-01\n",
      "---------------\n",
      "Iteration: 3\n",
      "FOM = 2.034e-01\n",
      "---------------\n",
      "Iteration: 4\n",
      "FOM = 2.458e-01\n",
      "---------------\n",
      "Iteration: 5\n",
      "FOM = 2.822e-01\n",
      "---------------\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 6\n",
      "FOM = 3.130e-01\n",
      "---------------\n",
      "Iteration: 7\n",
      "FOM = 3.397e-01\n",
      "---------------\n",
      "Iteration: 8\n",
      "FOM = 3.622e-01\n",
      "---------------\n",
      "Iteration: 9\n",
      "FOM = 3.807e-01\n",
      "---------------\n",
      "Iteration: 10\n",
      "FOM = 3.961e-01\n",
      "---------------\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 11\n",
      "FOM = 4.086e-01\n",
      "---------------\n",
      "Iteration: 12\n",
      "FOM = 4.176e-01\n",
      "---------------\n",
      "Iteration: 13\n",
      "FOM = 4.253e-01\n",
      "---------------\n",
      "Iteration: 14\n",
      "FOM = 4.320e-01\n",
      "---------------\n",
      "Iteration: 15\n",
      "FOM = 4.380e-01\n",
      "---------------\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 16\n",
      "FOM = 4.430e-01\n",
      "---------------\n",
      "Iteration: 17\n",
      "FOM = 4.466e-01\n",
      "---------------\n",
      "Iteration: 18\n",
      "FOM = 4.497e-01\n",
      "---------------\n",
      "Iteration: 19\n",
      "FOM = 4.524e-01\n",
      "---------------\n",
      "Iteration: 20\n",
      "FOM = 4.548e-01\n",
      "---------------\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfEAAAHWCAYAAABnm7DzAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAvcpJREFUeJzsnXd4FNX6x79TtmSTbDpplITeizQpAioCCgp6ReVaAMUCei14LSgqYsHyE7GCWBH0glgQG4qAgDSpFrr0FiCkbLLJtpnz+2Pdyc6WbM0mIe/nefLAlJ05O2f2fE95C8cYYyAIgiAIot7B13YBCIIgCIIIDxJxgiAIgqinkIgTBEEQRD2FRJwgCIIg6ikk4gRBEARRTyERJwiCIIh6Cok4QRAEQdRTSMQJgiAIop5CIk4QBEEQ9RQScYIIg19++QUcx+GXX36p7aIQUebYsWPQ6/VYt25dzO9tt9vRpEkTvP322zG/N1E/IREniGp4++238dFHH9V2McLi008/xaxZs2q7GAAAWZbx0ksvIT8/H3q9Hp07d8b//ve/oD576tQpPProo7j44ouRmJhYbefpp59+wm233YaOHTtCEATk5eWFXNbp06ejd+/e6NevX8ifjRSNRoPJkyfjueeeg8Viifn9iXoIIwjCLx06dGADBw702i9JEqusrGSSJMW+UEEyfPhw1qxZs9ouBmOMsUcffZQBYLfffjubO3cuGz58OAPA/ve//wX87KpVqxgA1qpVK9anTx8GgK1atcrnuWPHjmV6vZ717duXNW7cOOTvf+bMGabRaNinn34a0ueiSXFxMdNqtez999+vtTIQ9QcaiRMBMZvNtV2EOgfP89Dr9eB5+gkF4sSJE3jllVdw9913Y+7cubj99tvxzTff4KKLLsJDDz0ESZKq/Xz37t1x7tw57Nu3D5MnT6723Oeffx4mkwnr1q1Dly5dQi7rggULIIoirrzyypA/Gy2Sk5MxZMiQejsDRMQWaoEaGCdOnMBtt92GnJwc6HQ65OfnY+LEibDZbACAjz76CBzHYfXq1Zg0aRIaNWqExo0bK59/++230aFDB+h0OuTk5ODuu+9GSUmJ6h779+/Hv/71L2RlZUGv16Nx48a44YYbUFpaqpyzfPly9O/fH8nJyUhISECbNm3w2GOPBSx/MJ+zWq146qmn0LJlS+h0OjRp0gQPP/wwrFar1/UWLFiAXr16wWAwICUlBQMGDMBPP/0EAMjLy8POnTuxevVqcBwHjuMwaNAgAP7XxBcvXozu3bsjLi4O6enpuOmmm3DixAnVOePGjUNCQgJOnDiBUaNGISEhARkZGfjvf/8bUNAA4Ouvv8bw4cOVOmzRogWeeeYZ1WcHDRqE7777DkeOHFHKXt3U8rhx45TzPP+mTZsWsEyBymu32zFp0iRlH8dxmDhxIo4fP44NGzZU+/nExESkpqYGda+cnBxoNJqwy7pkyRL07t0bCQkJqv15eXkYN26c1/mDBg1S3gmg6r347LPP8PTTTyM3NxeJiYm49tprUVpaCqvVivvvvx+NGjVCQkICxo8f7/O9vOyyy/Drr7+iqKgo7O9CNAzE2i4AETtOnjyJXr16oaSkBHfccQfatm2LEydO4PPPP0dFRQW0Wq1y7qRJk5CRkYEnn3xSGYlPmzYNTz/9NAYPHoyJEydi7969mD17NjZv3ox169ZBo9HAZrNh6NChsFqt+M9//oOsrCycOHEC3377LUpKSpCUlISdO3dixIgR6Ny5M6ZPnw6dToe///47oCFRMJ+TZRlXXXUVfv31V9xxxx1o164d/vzzT7z66qvYt28flixZopz79NNPY9q0aejbty+mT58OrVaLTZs2YeXKlRgyZAhmzZqF//znP0hISMDjjz8OAMjMzPRbvo8++gjjx49Hz549MWPGDJw+fRqvvfYa1q1bh+3btyM5OVk5V5IkDB06FL1798b//d//4eeff8Yrr7yCFi1aYOLEidU+h48++ggJCQmYPHkyEhISsHLlSjz55JMwmUx4+eWXAQCPP/44SktLcfz4cbz66qsA4CVM7tx5550YPHiwat+yZcvwySefoFGjRsq+wsLCasvmIjExETqdDgCwfft2xMfHo127dqpzevXqpRzv379/UNetSex2OzZv3hzw+QfDjBkzEBcXh0cffRR///033njjDWg0GvA8j+LiYkybNg0bN27ERx99hPz8fDz55JOqz3fv3h2MMaxfvx4jRoyIuDzEeUxtz+cTseOWW25hPM+zzZs3ex2TZZkxxtiHH37IALD+/fszh8OhHD9z5gzTarVsyJAhqnXgN998kwFgH3zwAWOMse3btzMAbPHixX7L8eqrrzIA7OzZsyGVP5jPzZ8/n/E8z9auXavaP2fOHAaArVu3jjHG2P79+xnP8+zqq6/2Wtd2PQvG/K+Ju9ZpXWuzNpuNNWrUiHXs2JFVVlYq53377bcMAHvyySeVfWPHjmUA2PTp01XX7NatG+vevXv1D4ExVlFR4bXvzjvvZAaDgVksFmVfJGvi+/fvZ0lJSeyyyy5TvQcAgvr78MMPVeVo3ry51z3MZjMDwB599NGgy7V48eJq18TdCfX7//333wwAe+ONN7yONWvWjI0dO9Zr/8CBA1Xvh+u96NixI7PZbMr+MWPGMI7j2OWXX676fJ8+fXyW8eTJkwwAe/HFF4MuP9Ewoen0BoIsy1iyZAmuvPJK9OjRw+s4x3Gq7dtvvx2CICjbP//8M2w2G+6//37VOvDtt98Oo9GI7777DgCQlJQEAPjxxx9RUVHhsyyuEenXX38NWZaD/g7BfG7x4sVo164d2rZti8LCQuXvkksuAQCsWrUKgHPaVJZlPPnkk17r2p7PIhi2bNmCM2fOYNKkSdDr9cr+4cOHo23btsrzceeuu+5SbV900UU4ePBgwHvFxcUp/y8rK0NhYSEuuugiVFRUYM+ePSGX3ROz2Yyrr74aKSkp+N///qd6D5YvXx7U39ChQ5XPVFZWKqNyd1zPqbKyMuIyR4Nz584BAFJSUiK+1i233KKa1u/duzcYY7j11ltV5/Xu3RvHjh2Dw+FQ7XeVIdiZD6LhQtPpDYSzZ8/CZDKhY8eOQZ2fn5+v2j5y5AgAoE2bNqr9Wq0WzZs3V47n5+dj8uTJmDlzJj755BNcdNFFuOqqq3DTTTcpAn/99dfjvffew4QJE/Doo4/i0ksvxTXXXINrr722WkOxYD63f/9+7N69GxkZGT6vcebMGQDAgQMHwPM82rdvH9TzCIS/5wMAbdu2xa+//qrap9frvcqYkpKC4uLigPfauXMnpk6dipUrV8JkMqmOudsdhMvtt9+OAwcOYP369UhLS1Md85xyD4a4uDif674uFyr3TkldgDEW8TWaNm2q2na9+02aNPHaL8sySktLVc/aVYZwOpREw4JEnPBJJA3rK6+8gnHjxuHrr7/GTz/9hHvvvRczZszAxo0b0bhxY8TFxWHNmjVYtWoVvvvuOyxbtgyLFi3CJZdcgp9++kk18vMsU6DPybKMTp06YebMmT6v4dmI1hb+vmMgSkpKMHDgQBiNRkyfPh0tWrSAXq/Htm3b8Mgjj4Q0s+GL1157Df/73/+wYMECdO3a1et4QUFBUNdJSkpS3qHs7GysWrUKjDGVKJ06dQqA0xitLuAS0WA6Ui48v5MLf/Xrb79nx8FVhvT09KDLQjRMaDq9gZCRkQGj0Yi//vorrM83a9YMALB3717VfpvNhkOHDinHXXTq1AlTp07FmjVrsHbtWpw4cQJz5sxRjvM8j0svvRQzZ87Erl278Nxzz2HlypXKdLc/An2uRYsWKCoqwqWXXorBgwd7/blGyi1atIAsy9i1a1e19wt2JOTv+bj2eT6fcPnll19w7tw5fPTRR7jvvvswYsQIDB482OcUcKijuLVr1+K///0v7r//ftx4440+z8nOzg7qb9GiRcpnunbtioqKCuzevVt1rU2bNinH6wJNmzZFXFwcDh065PN4WVmZ177Tp0/XSFlcZfA0BiQIT0jEGwg8z2PUqFH45ptvsGXLFq/jgaYQBw8eDK1Wi9dff1117vvvv4/S0lIMHz4cAGAymbzW9zp16gSe55UpVV9uM66G3Ne0q4tgPnfdddfhxIkTePfdd73OraysVCztR40aBZ7nMX36dK/Rq/v3i4+P93Kh80WPHj3QqFEjzJkzR/UdfvjhB+zevVt5PpHiGsm5l9Fms/kM0xkfHx/09PqpU6dw3XXXoX///oqFuy/CWRMfOXIkNBqNqoyMMcyZMwe5ubno27evqhx79uyB3W4PqtzRRKPRoEePHj5/HwCwYcMGVRS1nTt3Yv/+/VGZfvdk69at4DgOffr0ifq1ifMLmk5vQDz//PP46aefMHDgQMX96tSpU1i8eDF+/fVXlQuUJxkZGZgyZQqefvppDBs2DFdddRX27t2Lt99+Gz179sRNN90EAFi5ciXuuecejB49Gq1bt4bD4cD8+fMhCAL+9a9/AXCGtVyzZg2GDx+OZs2a4cyZM3j77bfRuHHjal2NgvnczTffjM8++wx33XUXVq1ahX79+kGSJOzZswefffYZfvzxR/To0QMtW7bE448/jmeeeQYXXXQRrrnmGuh0OmzevBk5OTmYMWMGAKerz+zZs/Hss8+iZcuWaNSokWIk545Go8GLL76I8ePHY+DAgRgzZoziYpaXl4cHHngg3GpT0bdvX6SkpGDs2LG49957wXEc5s+f71NIunfvjkWLFmHy5Mno2bMnEhIS/AYxuffee3H27Fk8/PDDWLhwoepY586d0blzZwDhrYk3btwY999/P15++WXY7Xb07NkTS5Yswdq1a/HJJ5+oppinTJmCefPm4dChQyq/9meffRaAUzgBYP78+YqdwdSpU5Xz/vjjDyxduhQA8Pfff6O0tFT5bJcuXQIGcRk5ciQef/xxmEwmGI1G1bGSkhJccskluPHGG2EymfDGG28gMTERf/31F9555x3ceeedIT8bfyxfvhz9+vXzskkgCC9qxSaeqDWOHDnCbrnlFpaRkcF0Oh1r3rw5u/vuu5nVamWMVbmY+XJDY8zpUta2bVum0WhYZmYmmzhxIisuLlaOHzx4kN16662sRYsWTK/Xs9TUVHbxxRezn3/+WTlnxYoVbOTIkSwnJ4dptVqWk5PDxowZw/bt21dt2YP9nM1mYy+++CLr0KED0+l0LCUlhXXv3p09/fTTrLS0VHXuBx98wLp166acN3DgQLZ8+XLleEFBARs+fDhLTExkABR3Ik8XMxeLFi1SrpeamspuvPFGdvz4cdU5Y8eOZfHx8V7f76mnnmLB/CTXrVvHLrzwQhYXF8dycnLYww8/zH788Uev8pSXl7N///vfLDk5mQGo1t1q4MCBft3FnnrqqYBlCoQkSez5559nzZo1Y1qtlnXo0IEtWLDA6zyX+92hQ4dU+/2VzfN5ud5fX3++XMQ8OX36NBNFkc2fP1+1v1mzZuzGG29kd911F0tMTGSpqals6tSpbOnSpSwxMZENGTKEMVb1Xni6WPr7Xbnq3N1tsqSkhGm1Wvbee+8FLC9BcIzVwFwQQRBEPeW2227Dvn37sHbtWmVfXl4eBg0aFJNQqLNmzcJLL72EAwcO1DnLfaLuQWviBEEQbjz11FNKFMJYY7fbMXPmTEydOpUEnAgKWhMnCIJwo2nTprWWBlSj0eDo0aO1cm+ifkIjcYIgCIKop5CIEwRBBODw4cOUGvQ8Z82aNbjyyiuRk5MDjuNUyZLsdjseeeQRdOrUCfHx8cjJycEtt9yCkydP1l6B/4FEnCAIgmjwmM1mdOnSBW+99ZbXsYqKCmzbtg1PPPEEtm3bhi+//BJ79+7FVVddVQslVUPW6QRBEAThBsdx+OqrrzBq1Ci/52zevBm9evXCkSNHvGLlxxIybAsSWZZx8uRJJCYmUlICgiCIADDGUFZWhpycnGoTG/nDYrHAZrNFXAbP9lqn0/nMqhcqpaWl4Diu2iBZsYBEPEhOnjyJN954A6IY+SNjjKG4uFgVZUur1SovuizLEb+84SCKour7Wa3WGgkpWR0cx6l+YA6HwyuMayyg+nBC9VFFQ6oPjuOQkpLid8DimchFkiSf5z3//PM4duwYGjduHNL9LRZLVFzsEhISUF5ertr31FNPYdq0aRFd12Kx4JFHHsGYMWO8IvvFGhLxIElMTIQoijAYDGH1Kt1hjCEvL0/1Q7DZbEqc66SkJGi12ojuEQ6yLCs5lbVarZI+MdaUlpYqjXRaWlrEzzscqD6qoPpw0pDqQ5IkFBYW+hVxSZIU4RYEwWd2NldOgsTExJDvH61OWnl5OY4dO6YS2khH4Xa7Hddddx0YY5g9e3akRYwYEvEgcb3MPM9Do9GEfR1ZliHLMnQ6ndIQ2Ww2lJSUKD3PiooKGAyGmDZUrgZKo9FAp9PBYrFAkqSwfoCRUFZWBlmWkZCQAKvVisrKypgLB9VHFVQfThpafdhsNvA8r/y543A4IMuy0ibKsuw1SwFASWIT6fJjuJ93zZIYjcaojZZdAn7kyBGsXLmy1kfhAFmn1zo2mw2FhYXQaDRIT09Heno6NBoNCgsLYzZl6Gqg7HY70tPTkZaWBqPRCJPJ5DP9Yk1RVlamJJ5IS0tDeno67HY7zp07F3Ge7GCh+qiC6sMJ1UcVDocDNpsNHMdBr9dDr9eD4zjYbLYam9aP5C+auAR8//79+Pnnn+tMchoS8VrEvYFy9aZ5nkdaWlrMGirPBso1uklMTIxpQ+XeQLlGN1qtNqYNFdVHFVQfTqg+qnAXcJ1Op9SHTqerUSGPFeXl5dixYwd27NgBwJnTfceOHTh69CjsdjuuvfZabNmyBZ988gkkSUJBQQEKCgpqxT7DHRLxWsJut3s1UC5i1VD5a6BcxKqh8tVAuYhVQ+VLMFxQfVRB9VFFQ6oPXwLuoiaFPJYj8S1btqBbt27o1q0bAGDy5Mno1q0bnnzySZw4cQJLly7F8ePH0bVrV2RnZyt/69evj9r3DQdaE68FZFlGcXExdDqd3/UsV0N17tw5FBYW+mxEIi1DdQ2UC1ejYTKZVNvRoroGyoWroSosLMS5c+eivgZYnWC4oPqoguqjioZQH9UJuAuXkFut1qh2qmpiWtwfgwYNqtbboK6GVKGReIyRJAkOhwOiKAb8sdXUiCPYBspFTY04gmmgXNTUiCMYwXBB9VEF1UcV53N9SJIUUMBdeI7IY7VO39AhEY8h7j3a5OTkoHrL0W6oQm2gXES7oQqlgXIR7YYqFMFwQfVRBdVHFedjfbj88YMRcBfuQh6NafW6ZNhWVyERDwFBEMKeUnEXcEEQQpruilZDFW4D5SJaDVU4DZSLaDVU4QiGC6qPKqg+qjif6sNut8PhcIQk4C5cQh4NSMQDQyIeIna7PeQfRjBrSoGItKGKtIFyEWlDFUkD5SLShioSwXBB9VEF1UcV50t9FBcXR9xeRRJPgwgeEvEQcP0YrFZr0D8MTwGPpHcYbkMVrQbKRbgNVTQaKBfhNlTREAwXVB9VUH1UcT7UhyiKEAQhovYqGiNhGokHhkQ8BBhjEEURjLGghDwaI3BPQm2oot1AuQi1oYpmA+Ui1IYqmoLhguqjCqqPKup7fQRrs1PTkIgHpvZrqZ7B8zy0Wm1AIa8JAXcvQzANVU01UC6CbahqooFyEWxDVROC4YLqowqqjyqoPohYQDUVBqIoVivkNSngLgI1VDXdQLkI1FDVZAPlIlBDFYsGiuqjCqqPKqg+IoNG4oGpO7VVz/An5LEQcBf+GqpYNVAu/DVUsWigXPhrqGLZQFF9VEH1UQXVR/iQiAembtVYPcNTyGMp4C48Gyqr1RrTBsqFZ0MVywbKhWdDZbVaY95AUX1UQfVRBdUHUVNQ2NUIcaXfs1qtsFqtMRVwF66GqrCwEIWFhQCAjIyMmOdc9gxBGcsGyoWroTp79mytNVBUH1VQfVRB9RE6DWlEHS4k4gRBEESdhEQ8MHWz+1WPcE2hu0cpCsWPPBq41vgcDocyRRjLfMsu3KcIayPfMlC1xucacTgcjpjmWwaoPtyh+qiC6oOoCUjEI8BzDTyQ1XpN4Gmk48qMFqt8yy481/hinW8Z8DbS0el0Mc23DFB9uEP1UQXVR3iQYVtgSMTDxJ8RWyyF3J+VbazyLbvwZ6QTy4bKn5VtrPItA1Qf7lB9VEH1ET4k4oEhEQ+DQFbosRDyQG4ysWqoAlnZxqKhCuQmE4uGiuqjCqqPKqg+iJqGRDxEgk3PV5NCHqyfa003VMG6ydRkQxWsn2tNNlRUH1VQfVRB9RE5NBIPDIl4CHAcF1J6vpoQ8lADVdRUQxWqn2tNNFShBqqoiYaK6qMKqo8q6nt9lJSU1AkhJxEPDIl4CLh+BKH4gXsKebj5yIHwI01Fu6EKN1BFNBuqcCNNRVM4qD6qoPqo4nyoD4fDAUmSImqvIvksETwk4iGi0WhCDowQjRF5pKEio9VQRRppKhoNVaShIqMhHFQfVVB9VHG+1EdKSkrE7ZXdbg/5c57QSDwwJOIhIElS2C+Gu5BLkhTSDyNasZ4jbaiiFSoykoYqWrGeIxEOqo8qqD6qOJ/qQ6PRhJR22R1ZlmG1WsO6ryck4oEhEY8h7kIe7JpTtJM1hNtQRTvWczgNVbSTNYQjHFQfVVB9VHE+1kewaZfdcQk4Y0wJSU3ULCTiMUYQBIiiGFSkpJrKthRqQ1VTyRpCaahqKttSKMJB9VEF1UcV53N9CIIQtJC7C7hWq41aGWgUXj0k4rUAz/NISUmptqGq6XSJwTZUNZ1tKZiGqqbTJQYjHFQfVVB9VNEQ6iMYmx5PAY/WKJym0wNDIl5LaDQavw1VrPIdB2qoYpUusbqGKlb5jqsTDqqPKqg+qmhI9VGdkNeUgBPBQSJei/hqqGLVQLnw11DFOt+xr4YqVg2UC6qPKqg+nFB9VOFLyGtawGkkHhjqMtUyrobKPdexe7alWOBqqM6dO4fCwkLodDpYLJaY5zt2z7dss9lgtVpjnu+Y6qMKqg8nVB9VuETaZrPBYrEo+2tqBB6JGDcUEaeReB1Aq9UiLS0NdrsddrsdaWlpMWugXLgaKsYYLBYL9Hp9TBsoF4mJidDr9bBYLGCMxbSBckH1UQXVhxOqjyrcR+Q0hV77kIjXAWRZhslkUrZNJlOthDw0m83K/61Wa8zzLQNQRhi+yhQrqD6qoPqogurDiWcgF7vdXmP1QdPpgSERr2Xc1/gyMjKQkZFRK0kI3Nf4srOzY55vGVCv8WVnZ8c83zJA9eEO1UcVVB9O3NfAdToddDpdjWZrJBEPDIl4LeLLSKc2sgl5GunEOt8y4NtIJ5b5lgGqD3eoPqqg+nDiy4gtFmmXieohEa8lqrOyjWVD5c/KNpYNVXVWtrFqqKg+qqD6qILqw0l1Vug1KeQ0Eg8MiXgtIMsySkpKqnWTiUVDFchNJhYNVTBuMjXdUAXjtkT1UQXVh5OGVB+B3MhqSshJxANDIh5jXAlQgnGTqcmGKlg/15psqELxc62phioUv2OqjyqoPpyc7/XhnkI5kBV6NNMuE8FDIh5D3Hu0KSkpQbnJ1ERDFWqgippoqMIJVBHthiqcwCFUH1VQfTg5n+sj1EAu7kJOqUhjAzn3hQDP82CMhZ1f12azqbL7hPJjT0pKQnFxMc6cOYOUlJSwX1Cz2Yzy8nIkJCRAp9OFVAaj0agqg0ajCasMdrsdxcXFEEURRqMRDocj6M/qdDoYDAaUlJTA4XAgPj4+rDIwxlBcXAyHw4GUlBQAVB9UH1QfLqxWKxwOhyqZSbDtHs/z0Gg0UenMULCXwJCIh4BrKjzU4AqMMeWH6BJwq9UKSZJCuk5CQgJsNhtMJhO0Wm3IL6nD4YDdbkd8fDwEQVBFXAqWuLg42Gw2mM3msDIVuTozOp0OWq02rLzDgiAgPj7eq1MULIwx2Gw28DyPhIQESJIUcl0AVB8uqD6qOF/qw/XdRVEEx3EhD1w4joMgCCF9hggPEvEQKC0tRU5ODoxGY9A9XF8jDKvViiuuuAJJSUk1WVyCIIiwKC0txbfffou4uLiwZxTC6QR5QiPxwJCIh4DdbkdCQgIqKiogimLA9TLXGp8sy2jUqBG0Wi1sNhskSUJSUhJSU1NjVHKCIIjQ0Gq10Gg0YYe4DWUZwB8k4oEhEQ8Rg8EAnU6nhIH0J+SxzrZEEARBNDxIxMPAPZuQ+7YLEnCCIIjIoZF4YEjEw8SfkJOAEwRBRAcS8cCQiEeAp5DHx8eTgBMEQRAxg0Q8QtyF3GQygeM4EnCCIIgoQCPxwFDEtijg7m7m8u8kCIIgIoMitgWGRDxCXGvgHMdBr9fDYrHENL8vQRAE0XCh6fQI8GXE5oq7DPh3PyMIgiACQ9PpgalzI/EZM2agZ8+eSExMRKNGjTBq1Cjs3bs34OcWL16Mtm3bQq/Xo1OnTvj+++9VxxljePLJJ5GdnY24uDgMHjwY+/fvD7uc/qzQY5XflyAI4nyHptMDU+dEfPXq1bj77ruxceNGLF++HHa7HUOGDIHZbPb7mfXr12PMmDG47bbbsH37dowaNQqjRo3CX3/9pZzz0ksv4fXXX8ecOXOwadMmxMfHY+jQoWGFBgzkRkZCThAEQcSCOjedvmzZMtX2Rx99hEaNGmHr1q0YMGCAz8+89tprGDZsGB566CEAwDPPPIPly5fjzTffxJw5c8AYw6xZszB16lSMHDkSAPDxxx8jMzMTS5YswQ033BB0+YL1Aw8UEIYgCIIITEMZUYdLnRuJe1JaWgoA1cYZ37BhAwYPHqzaN3ToUGzYsAEAcOjQIRQUFKjOSUpKQu/evZVzgsVkMgXtB04jcoIgiPCh6fTA1LmRuDuyLOP+++9Hv3790LFjR7/nFRQUIDMzU7UvMzMTBQUFynHXPn/neGK1WlVpAF3pDSVJQmZmZtBuZJ4jcp1OF9TnCIIgapNoJDAhap46PRK/++678ddff2HhwoUxv/eMGTOQlJSk/DVp0gQ8zyMpKSlkP3D3EXl1a/sEQRB1BbvdHlF7VVFREXEZaCQemDor4vfccw++/fZbrFq1Co0bN6723KysLJw+fVq17/Tp08jKylKOu/b5O8eTKVOmoLS0VPk7duwYrFYrRDG8yQuXkJeXl1MPlyCIOo9Go0F5eXlYS4FlZWVRGbCQiAemzok4Ywz33HMPvvrqK6xcuRL5+fkBP9OnTx+sWLFCtW/58uXo06cPACA/Px9ZWVmqc0wmEzZt2qSc44lOp4PRaFT9McYi+GZOIU9ISIDdbo/oOgRBEDWNKIpISEgI2abHFSvDPZIlUXPUuTXxu+++G59++im+/vprJCYmKmvWSUlJiIuLAwDccsstyM3NxYwZMwAA9913HwYOHIhXXnkFw4cPx8KFC7FlyxbMnTsXgLM3d//99+PZZ59Fq1atkJ+fjyeeeAI5OTkYNWpUTL9ffHx8xJ0BgiCIWBAfHw9RFIP2snEJuNFohCAIEd+fgr0Eps6J+OzZswEAgwYNUu3/8MMPMW7cOADA0aNHwfNVkwh9+/bFp59+iqlTp+Kxxx5Dq1atsGTJEpUx3MMPPwyz2Yw77rgDJSUl6N+/P5YtWwa9Xl/j38mTcKfkCYIgYk2w7rLuAp6YmBjVNfFwP9sQqHNqEswo9ZdffvHaN3r0aIwePdrvZziOw/Tp0zF9+vRIikcQBNHgCCTkngJOxI46J+IEQRBE3cOfkNekgNNIPDB1zrCNIAiCqJt4BrCq6RF4LK3T16xZgyuvvBI5OTngOA5LlixRHY92/o1oQSJOEARBBI27kJ9PU+hmsxldunTBW2+95fN4NPNvRBOaTicIgiDqJLGcTr/88stx+eWX+zwWzfwb0YZG4gRBEETQuE+h13RuiGhMp7tmDFx/7uG0gyWa+TeiDYk4QRAEERSea+D1IclTkyZNVCG0XfFFQiGc/BuxgqbTCYIgiID4M2KrybTL0ZhOP3bsGIxGo7L/fEtCRSJOEARBVEsgK/SaEvJoiLhr2j8S3PNvZGdnK/tPnz6Nrl27RnTtSKHp9FqAEqAQBFFfCNaNrD5MrYdLOPk3YgWNxGOM2WymBCgEQdQLzGYzKioqgnYjcx+RR2PaOpbW6eXl5fj777+V7UOHDmHHjh1ITU1F06ZN60z+DU9IxEMg0ghAZWVlKC8vp+w+BEHUeRwOB8xmM5KTk0OaHnedW1RUFHEZYiniW7ZswcUXX6xsT548GQAwduxYfPTRR3Uq/4Y7JOIhoNPpwp4Kd01JJSQkRCW7D0EQRE1it9uRkJAQ1vp2YmJiWK5ctcmgQYOqzd1RV/NvkIiHgCzLKC0thV6vh1arDfpz7mtKOp2u1iP8EARBBEKj0UQ0a2gwGCIuA8VODwwZtoWAzWaDIAgoLCyEzWYL6jOU3YcgiPpIXUiZHMvY6fUVEvEQMRqN0Gg0QQk5CThBEARRk5CIhwjP80hLSwso5CTgBEEQkUEj8cCQiIdBICEnAScIgogcEvHAkIiHiT8hJwEnCIIgYkXtWy7UY1xCfu7cORQWFiqW5yTgBEEQ0aGhjKjDhUbiEeIScsYYLBYL9Ho9CThBEEQUoOn0wJCIRwGz2az832q1Bu1+RhAEQRCRQCIeIe5r4NnZ2UG7nxEEQRDVQyPxwJCIR4CnEVuw7mcEQRBEYEjEA0MiHib+rNBJyAmCIIhYQSIeBoHcyEjICYIgIodG4oEhEQ+RioqKoPzAScgJgiAig0Q8MCTiISCKIsxmc9B+4CTkBEHUV2RZru0iEEFAIh4CoigiPj4+JD9wTyG32+01WEKCIIjoYLPZImqvHA5HxGWgkXhgSMRDwOFwhJUj113Ii4uLqYdLEESdh+M4FBcXhzWDaLPZUFpaGpUykIhXD4l4CETSs3QJuSiKNK1OEESdR6vVQhTFkJcCbTYbCgsLIQhCDZaOcEEiHkN4nkdKSkqD6SESBFF/4TgOKSkpIdn0uARco9HAaDRGpQw0Eq8eEvEYw3EctFptbReDIAgiIBzHBW2c6y7gaWlp4PnI5YVEPDAk4rVAQ3m5CIKo/wTjZVMTAk4EBz1pgiAIolqqE/KaFHAaiQeGRJwgCIIIiC8hr+kROIl4YMTaLgBBEARRP3AJ+blz53D27FkATit2mkKvPeipEwRBEEHD87zK8txoNNaYgNNIPDAk4gRBEETQ2Gw2nDt3DhqNBhqNBufOnaux2Bck4oEhEScIgiCCwn0NPD09Henp6ZQbopYhEScIgiAC4suIraaTPNFIPDAk4gRBEES1VGeFXpNCTiIeGLJOrwUaagIUzx8Vx3FgjFV7fnXHo3kOQfijob87wbiRuVutFxYWIj09vRZK2jAhEY8xdru9Qa8dcRyHq666CgMGDIBGo8Hvv/+O//3vf6ioqFDOSU5Oxm233YbOnTujsrIS3333Hb755hvVdTp37ozbb78dTZs2xZEjR/Duu+/izz//VJ1zxRVXYPDgwYiLi8Nff/2F+fPnw2QyKcd1Oh369OmDpk2bwuFwYPfu3dixY4eq0U5KSkK7du1gNBphNpuxd+9eFBYWqu7TpEkT5OXlQavVoqioCLt374bFYonmY2uwGAwG6PV6cBwHm82G8vJyVf2IooicnBwkJiZCkiSV65P7NTIzM6HT6WC1WnH69GnV+wYAbdq0QatWraDRaHD69Gls27aN6hDO9qq0tDQoP3BPIU9ISIj4/pGMqBvKSJym02OIzWZDcXFxg3m5fDFkyBAMGzYMBoMBGo0GPXr0wPjx41XnPPDAA7jgggsgiiISExNxww034OKLL1aOZ2ZmYurUqWjatCkAoFmzZnjiiSfQqFEj5ZyBAwdi1KhRSEhIgCAI6NKlCyZOnKi6z8CBA5Gfnw9BEKDT6dC1a1d06NBBOa7VatG9e3fFnSY+Ph5du3ZVNU6ZmZlo06YNdDqdEme6a9euUXteDZm4uDgYDAbwPA+O46DT6ZCYmKg6p2nTpjAajeA4DqIoIjMzEykpKcpxjUaDxo0bQ6fTAXB23Bo3bgyNRqOck5+fj44dO0Kn04HneWRnZ+PCCy+MzZesw8iyjOLi4pACubhPrVMq0thAIh4CWq027Klw15SUKIoNOgFK7969vfZ17NgR8fHxAICsrCy0bNnS65z+/fsr/+/bt6/SKLtwjapd+GqEW7RogYyMDACAXq9Hbm6u1znu987IyIAoqiereJ5HZmamsp2dne11jYSEBC+xIULHs44B52/Q1ThrtVoYDAavc5KTk5X/JyYmeokPz/Oq+nF1Bt1JS0uLykiyPmOz2SCKYsiBXFxCTqlIYwOJeAjwPA+TyRSykLuvKTX0VKSB1hcjWX90/6y/67j2BzpOEA39XeA4ZyrScAK5eAaEibQcNAr3D4l4CFitVmXdLVgh9zQKaUgvly82bdrkte+PP/6A2WwGAJw+fRr79u3zOmfNmjXK/9etWwer1ao6brFYsGHDBmV748aNXtfYv3+/sp5ttVpx/Phxr3MOHDig/P/s2bOw2+2q47Iso6CgQNk+efKk1zXKyspQVlbmtZ8IDc86Bpy/J5e42mw25b1xp6SkRPm/r063LMuq+jly5IjXNQoLC31euyHhPusRDpSKNDaQiIcAYwxJSUmw2+1BCTml5/Nm+fLl+O6771BeXg6bzYbffvsN8+bNU50za9YsbN68GXa7HSUlJfjkk0+wevVq5fiZM2cwffp0HDp0CJIk4eDBg3j66adVBk1r1qzBF198gdLSUtjtdmzbtg1z5sxR3Wf16tU4ePAgHA4HLBYLtm/fjr/++ks5brPZsG3bNpSWloIxhvLycmzfvl3VuJ85cwZ79uyBxWKBLMsoLCzEjh07ovzUGiaVlZWoqKiALMtgjMFisXh1jo4ePYrS0lLIsgy73Y6CggIUFxcrxx0OB44dOwaLxaJc49ixY6rO2eHDh/Hnn3/CYrFAkiScOHHCZyewodFQRLC+w7GGPmcUJCaTCQ8//DB69uwJURQDirM/AbfZbLBYLBg9ejRSU1Nj/TVqFWoUiPpIQ2wii4qKsHjxYuj1+rBteCoqKjBhwgSUlpaGPLVuMpmQlJSEIUOGqIwQQ8Fut+Onn34K6/71CRoahoFWq0V6errfETmNwAmCICKHptMDQ+oSJv6EnAQ8MIIgoGvXrujdu7dP62LA6c51wQUXoE2bNn5/jE2bNsXFF1/s07oYcK7Jde/eHYMGDfLbE9doNGjSpAmys7P93sdoNKJFixYNbuYkFuh0OhiNxrBHWy5cbmj+SEhIQG5uboO3OCfOPyjYSwS4hLywsBDnzp2D0WhUsvuQgPsmNTUVL7/8Mlq0aAEAKC0txWOPPYadO3cq53Tu3Bn33nuvIvD79u3DSy+9pArQcd9992HcuHHK9gcffIA33nhD2TYajXj33XcVn+2ysjLce++9WL9+vXJOZmYmhg4dCr1eD8BpzPT999+rgnz07NkTffv2VQTi999/x6pVq6L0NBo2OTk5SEtLA+Ccsj59+rRXoJZA8DwPjUaj1I8sy17BlDp16oR27dop23v27MEff/wRYemJWEDBXgJDKhMhLiF39wMnAffPnXfeqQg44IyI9thjjyk/OFEUMWnSJNUIvXXr1rjmmmuU7Z49e6oEHABuvfVWdO/eXdn+z3/+owq6kpiYiJdfflk14rvkkksUAQeA9PR0lR97RkYG+vXrp2oMunTpgubNm4fxzQl3jEajIuCAs8HNyspS1UcwuAs44BR1d9/+jIwMlYADQNu2bZV4AUTdhqbTA0NKQ8SUzp07e+3Lzc1VGvScnByfU99t27ZV/t+tWzef13bf36NHD6/j6enpyMvLA+A/IEtWVpaqXL7wt58InuqWUYLFX0Pt3oH2J9Yk4sT5Aol4hLhG4K4RucPhCMmPvKHha7rUarUqMc1LSkp8Prtz584p/z9z5ozPa58+fVr5v7svtwtJkhQ/cYvFAofD4XWOu/uYP1/v8vJyn/uJ4PH0vw+03xeMMZ+W4+77PGOku6isrAz6PkTtQSPxwJCIR4CnEZtOp6vWap0A5s2bB0mSVPsWLFigrGOaTCb8+OOPquM2mw1Lly5VtpctW4aDBw+qztm/fz+WL1+ubM+ZM8crWMi8efMUH2KHw4Hff/9ddVyWZWzbtk3ZPnTokFdnoKSkBLt27QrquxL+KS4u9lq7rqioUCWoCQbPd4kxpuqcHTt2zCuGd2lpKY4ePRpiiYnagEQ8MHXOsG3NmjV4+eWXsXXrVpw6dQpfffUVRo0aVe1nfvnlF0yePBk7d+5EkyZNMHXqVK8107feegsvv/wyCgoK0KVLF7zxxhvo1atX2OX0Z4XuaexG6+Nqtm7dirvvvhtXXnkldDod1q5dqwrkAjhF/fDhw+jatSvMZjOWL1+OY8eOKcctFgvGjRuHG2+8ES1btsT+/fvxySefqAzSfv/9d4wePRr//ve/kZiYiNWrV+Prr7/2KktxcTHy8vJgt9uxZ88e1UyBLMv44osv0LVrVzRq1AjFxcXYvn27z0hiRGjIsoy///4b6enp0Ol0qKysVM22BIvD4YAsyxAEAYwxSJKkGolLkoSVK1eidevWSEpKQmlpKfbt2+cl/gRRX6lzIm42m9GlSxfceuutKmMmfxw6dAjDhw/HXXfdhU8++QQrVqzAhAkTkJ2djaFDhwIAFi1ahMmTJ2POnDno3bs3Zs2ahaFDh2Lv3r2qzFfBEsiNjIS8evbs2YM9e/b4Pc4Yw9q1a7F27Vq/55SVlXlFYPNk7969eOqpp6o95+DBg16jenfsdjs2b95c7TWI8JAkSbUEEi6yLFc762W321XeD0T9gazTA1PnRPzyyy/H5ZdfHvT5c+bMQX5+Pl555RUAQLt27fDrr7/i1VdfVUR85syZuP3225WUl3PmzMF3332HDz74AI8++mhI5XM4HCgpKQnoRkZCThAEERkk4oGpcyIeKhs2bMDgwYNV+4YOHYr7778fgHPUvHXrVkyZMkU5zvM8Bg8erEqYEQwcx6G0tBR6vT4oUfYl5ITTAr1fv37QaDT4/ffffY6ShgwZgoEDB6K0tBSLFi3ySlIhiiJatWqFpKQklJSUYP/+/V5TpGlpaejevTv0ej327dvnc/SfnJyMlJQUyLKMM2fOeBk8CYKAjh07KtPpf/zxh9dabrQwGo3Q6XRwOBxKPPDzGa1Wi3bt2iEpKQmFhYXYu3dvWNPcGo0GGo0GjDFYrVav5yaKIlq3bo2UlBQUFxdj3759Po0aCTUNMdxsfaTei3hBQYEqvzPgDOJhMplQWVmJ4uJiSJLk85zqpnStVqtq7dNkMkGn00EQhJBG1b4CwjRkWrZsiXvvvVfx177ooovw+eefY8WKFco5DzzwAO666y5l+4YbbsCYMWOwd+9eAFWdMPcIas2aNcPy5cuVBjw7Oxvjx49X4j5fcMEFWL16tSpQS3Z2Npo1a6ZsZ2ZmYteuXYr1OcdxGDVqlMqlrG3btli0aFFIVtTBkJWVpXKvSkxMxPHjx89bIddoNLjyyiuV3N+tWrVCXl4efvjhh5DEIy4uDnFxccq2Xq+HyWRSOgM8z2Po0KGqDnR+fj5++OGH8/bZRgubzRay37470Xi+NBIPDM3v+mHGjBlISkpS/po0aQJZlmE0GkOeFncP0VpcXNyge7hXXnmlV4jNESNGKAE6UlJSMGHCBNXx+Ph4TJo0Sdlu1qyZVwjUtLQ0VfjVAQMGeCVu6N+/v9Io8TyPxo0bq47zPI8mTZoo2/n5+V4+4ampqV7BQyJFr9d7+UdrNBokJSVF9T51iVatWikC7iI7O1v1/APBcZyXyHAcpxL1vLw8rxmwtLQ0JV4A4R/GGIqLi8MSY1mWQ/Y08AVZpwem3ot4VlaWl3HM6dOnYTQaERcXh/T0dAiC4PMc98AenkyZMgWlpaXK37Fjx2Cz2cJe13b3I6+p6dj6gK8lBb1er8S0zszMVEXccuEuuP7iX7sLYUpKitdxQRCUmRBRFCEIgtc5Op1O+b+vYDAAoj6b4i9uuK/ncL7g79mGEtvcX7x099+ov+s1qBjqtmLg77nqP1txwI9ptdqw4l7Isoxz586RB0CMqPci3qdPH9VULODMWd2nTx8Azhexe/fuqnNkWcaKFSuUc3zhSszg/hcpWq0WKSkpDXok7ssSvKioSPHlPXTokJdfLwBs375d+b8rYIsn7vvdXdJcVFRUoKioCIBzqtCXq5h7gBdfAWOq2x8u7q5xwew/H/Bnle4vkI8vJEnyKS7u693+YrGHGqO9IcLzPFJSUkKKe+EScLvdHpWZJBqJB6bOiXh5eTl27NiBHTt2AHA26jt27FCCM0yZMgW33HKLcv5dd92FgwcP4uGHH8aePXvw9ttv47PPPsMDDzygnDN58mS8++67mDdvHnbv3o2JEyfCbDYr1uqxRKPRhJ2f93zgq6++UjXglZWV+Pjjj5WOjdVqxZQpU1QCtnv3brz11lvK9qlTp7Bv3z7Vdffu3au67qpVq1TbdrsdX3/9taqBP3DggGq0UFlZqQoCcvr0aWzZskV1n927d+Pvv/8O+XtXh6uRdO/cmc1mvxHjzgcOHz7s9Rx37Njht4PmD7PZrHpuDodDZZx46tQpL9uXPXv24NSpU2GUuuGh0WiCDmDlLuDp6elRmUkiEQ9MnZuv27JlCy6++GJle/LkyQCAsWPH4qOPPsKpU6dUDW1+fj6+++47PPDAA3jttdfQuHFjvPfee4p7GQBcf/31OHv2LJ588kkUFBSga9euWLZsmZexW6xoyK5mxcXFePbZZ9G2bVvodDrs2bNHFeoUAFasWIHBgwejV69eMJlM2LBhg5c18ZYtW3DgwAHFOr2kpER1vKKiAu+88w6aN28OvV6Pw4cPe4VLNZlM2L59O5KSkiBJEkpLS71mSdavX489e/Yo1unR8Gv2RUlJCcxms2Kdfj6Pwl2sXr0aO3fuRHJyMgoLC73qMBjsdrvi8skY82lw+Ntvv2H//v1ISUlBSUmJMhtDBEcw7rKeAu6aiidqnjon4oMGDap2uvmjjz7y+Rn36VZf3HPPPbjnnnsiLR4RBRwOB/76669qzzl79iy+++67as8pLi5Wwqj6whUVLFBZAkUKKyoqiknDb7fbo271XtcpLCwMefTtCWMsoJ1JoHeFqJ7qhNyXgEcLsk4PTMMdEhIEQRBB4+5l45par0kBB2g6PRjq3EicOP/RarXKj93X1HFycjIee+wxDBgwAKWlpfjwww+xcOHCkO8jCAJEUQTHcZAkqcZGuUlJScjIyIAgCDCbzSgoKAh5KrFRo0YYPXo08vLyUFhYiG+++cYr0YooitDpdOB5Xnlu7rNWGo0GDz30EEaPHg0AWLx4MV566SVVWVJSUnDNNdegRYsWKCkpwbJly/DHH3+o7pOeno6WLVsiLi4OpaWl2LNnjyobGM/zmDJlCm677TZoNBosXrwYjz32WMhLANnZ2ejZsyeSkpJw7tw5bNy40WvGo1mzZmjSpAkEQcCZM2e84p5zHIfk5GTo9XowxlBWVua1PKPT6ZCRkQGtVgubzYazZ896GTXm5uaiadOmEEUR586do4AwfnAfkbtmUBwOR40IOBEcNBInYopWq4VerwfP8+B5HlqtVuXXCwCvv/46Ro4ciZSUFOTl5eHpp5/GVVddFdJ9BEGAVqtV3JBEUayRRiYxMRGNGzeGTqeDKIpISkpS+asHg06nw7333ov27dvDYDCgadOmuOuuu1Q+04IgwGAwQBAEcBwHjUbjlZP78ccfx3/+8x9kZWUhKysL//nPf/D444+rrjFx4kR06tQJBoMBOTk5GDduHFq0aKH6Pl27doXRaFSMmnr06KFyx5syZQqmTZuGJk2aKPd5/fXXQ/rORqMRQ4cORaNGjaDT6ZCTk4PLL79c5eLXpEkTtG7dGnFxcdBqtWjcuDE6dOiguk5aWhri4+OVDltKSorquYiiiNzcXMTFxUEQBMTFxSE3N1dldJWVlYW2bdvCYDBAq9UiOzsbnTp1Cun7NCS0Wi3S0tKU5Z+0tLQaE3AaiQeGRJyIKb58ot33NWnSBL179/Y659prrw3pPr58wF0CGE18+aPHxcWFFOmqbdu2XtcRBEGVZc/XcxMEQfU9//3vf3ud476vefPmXgl/eJ5XPe+cnBwvoyVXmGEXt956q9d9brrpppAa8pYtW3pZL8fFxak6QJ6BdgBnHAHXsxAEwedzdo8XkJCQ4PUuCIKg8hPPycnxukZqampE0crOZzwDuZhMphqLfkciHhgScaJO4PrBRSvwSX36AfvqcHjuD+b7+HpG7vuCuY8/zwn3+/uqI9fMSrD4O9d9v7/v7NofzDMJdI3qzmnIXiT+cF8Dz8jIQEZGRkh+5HUZSZLwxBNPID8/H3FxcWjRogWeeeaZOh/Xg95SIqb4Wmd0OBzKD+XgwYNea8EA8P3330d8H1mWo/6D9BVa0mq1hrQ+7MvNDgC2bdum/N/Xer4sy6r1Yc986Z77Dhw44NONy/0+vgLZuBppF5999pnXOUuXLg3pOx86dMir0bfb7aogPb7c+YqKihRLdH/RD939xMvLy73uwxhTuRv6uo/JZFLZARC+rdB9GbtFk1iOxF988UXMnj0bb775Jnbv3o0XX3wRL730Et54442ofqdoQyJOxBRXYhnGmOLX65k57O6778amTZsAOIN5zJ49G5988klI93EZsrlEW5KkGgl3W1JSgtOnTytiWlFRoYpjEAwVFRV4++23lQAkZWVlWLBggco9ztOQTZIkL5GZOnUqvvzySzgcDjgcDnzxxReYOnWqctxut2Pu3LmKUJrNZnz55ZeqLHLFxcX466+/lGdVXl6Obdu2qTpFjz/+ON5//33YbDZIkoSvvvoKd955Z0jf+dy5c/jll1+UzktpaSl++ukn1Xc6dOgQjhw5AkmSwBhDYWEh/vzzT6/ruDoPrmled4G22+04deqU0gny3AaA48eP49ChQ0odFhcXe92noVOdFXpdFfJQWb9+PUaOHInhw4cjLy8P1157LYYMGYLffvstqt8n2nCsrs8V1BFMJhMefvhh9OzZ08ugKBRsNhsqKytx3XXXeSXxON8J9Yel1+tht9vrTQxmjuMiHunrdDrYbLaIruNqYKvrtGi1WlUnxxeCIFT77DUaDXie9xm+NhQ0Gk21ngOuRrk6cQjm2Qc6x9996n0TaSsGji5W72s6GtB623O4KCoqwuLFi6HX6xWL/UBuZDabDYWFhdBoNEhLS4PFYsGECRNQWloacthqk8mEpKQkXHfddWEbzdlsNnz22Wc4duyY6v46nU5lQOni+eefx9y5c/HTTz+hdevW+P333zFkyBDMnDkTN954Y1hliAXkYhZjgglMQTipb1HLotHYRyqIQPXiHco5gTpP0XLZC3Qd16xNoHMCEcw16r1gRxnGWNB+4J4BYTy9TsIhGsFePDPjPfXUU5g2bZrX+Y8++ihMJhPatm2rdGCfe+65Oi3gAIl4TJFlGcXFxWQwEwSiKCIzMxMWiyVgRLVIcRl2RTLiT05ORlxcHM6ePevXv9hlEOZPtIxGI1q0aIFTp075TbLSokUL5ObmYseOHT7X43meR/fu3cEYw7Zt23yOXo1GI7p27YoTJ07gwIEDPu/TrFkz5OXl4Y8//vAZ6YzjOHTr1g0ajQZbt271+Z31ej1at26N4uJinwlpAKd7V9OmTfH333/7jYrXpk0bGAwG/PXXXz6fnSAISEtLg81m8xu6NTMzE61bt8b+/fv9PtsOHTogOTkZW7durXcdyJrAPRVpsH7g7kIejU5eNETc10jcF5999hk++eQTfPrpp+jQoQN27NiB+++/Hzk5ORg7dmxYZYgFJOIhEElAf9eaksPhaFhpEMMgNzcXI0eOVJYtDh06hKVLl0Y9WIvL1cjVqbLb7V4JNQLB8zwGDx6M5s2bA3DOHvz88884fvy4co4oikhLS1PeH5vN5rV2eMUVV+Dhhx9WGpjPP/8cr7zyiqqs7733Hm6++WYAzunG8ePHqwzXmjVrhm+//Vbxpd65cyeGDx+uWqO/+uqrMW/ePCUV6Lx583DbbbcpHRiO4/DGG2/g7rvvBuBcr7/rrrswf/585RqZmZn47rvv0L17dwDA33//jREjRmDv3r3KOT169MATTzyhNJ5r1qzBs88+q6rDBx98EHfccQd4nofNZsPzzz+vsn0wGo2YPXs2evToAcCZzGTSpEkqw8eMjAxcfPHFyqjvxIkT+OWXX1SdigcffBBPPvkkRFGEw+HAM888g//7v/9TjsfHx+Pzzz/HsGHDADgN3f71r39h3bp1yjOpzyQbgNEeXpuLN92Jkmrs9lJSUhS3wbNnz4b829NoNMjIyAijtNEn2CyUDz30EB599FHccMMNAIBOnTrhyJEjmDFjRp0WcRoShoAoimFZrLobhaSkpNBIvBp4nseIESNUdgf5+fm48MILo36v+Ph4VV1oNJqQpwC7dOmiCDjgHH0OHjxY1eFLSUlRbWu1WlWaxqysLEyZMkU1Qrj22msxePBgZXvChAmKgAPOhunjjz9W+W/PmTNHFQylQ4cOmDNnjrKdlpaG+fPnq3J5jx07FhMmTFC2r7/+ekXAAcBgMOC9995TTUm+9tprioADTp9v95wGer1eJeAAMGDAACWSnGv7rrvuUp6/VqvFk08+iZYtWyrnPPjgg4qAA84Ib+4dG47jMHDgQFWd5ebmonPnzsp2r169MH36dOX5i6KIp59+WuUbP3XqVEXAAWcnZdGiRed1Pvdg4HkexcXFYXWe7XZ7VGLVx9I6vaKiwqttFgShzrvOkZqEgMPhCDlFpKdVpz8/aMJJamqqSmRchBoFLRAcx/n0mw614fYVkESv1yM9PV25j69pSHfB7tq1q8/7ugvYpZde6nU8Pj5e1bnxdY77vj59+qgCobhw7yy4/9+FVqvFgAEDqj3nwgsvVK7dsmVLnyOfCy64QFUWT3ieV30fX+c0b95cyT6YlJTk8/u4B28ZNGiQ13HP/b6+T25uLtq2bevzsw0Fq9UaUejZaIStjaWIX3nllXjuuefw3Xff4fDhw/jqq68wc+ZMXH311RF/j5qERDwEHA4H4uPjYTKZghLymk4OcD7i6W7mIto+u/6MmEI1bPJXXtd+xpjPnrz7Pn8jFvf9/lKguu8/c+aM13H3fcFcI9xzTCaTso7sb13afb+/9W93+wdfthA2m0357flbt3avE1/PxHO/v+989uxZn/sbCg3NyO+NN97Atddei0mTJqFdu3b473//izvvvBPPPPNMbRetWkjEQ8RgMMBoNAYUchLw8DCbzV4JOSRJwubNm6N+L09LcMZYyAZNf/zxh9eI48CBAygtLVW2PfOYA1C9O1u2bPFKzVpaWoqvvvpK2X7zzTe9rvPTTz9hy5Ytyvbzzz/vdR/3fZs3b8by5cu9yuEe93zOnDleArthwwasXLmy2vu88MILyrr68ePH8csvv6iOu9x9XHzxxRde4rl3716sWLFC2Z47d65XB2j+/PlKh85isWDfvn2q47Isq57l559/joMHD6rOOXToED7//HNl2zNJDAC8++67NZY7ngieWI7EExMTMWvWLBw5cgSVlZU4cOAAnn322TrfdjfsRZ8wcU33uqyDPad/ScAjY/ny5SgsLER+fj6sViu2bduGkydPRv0+lZWVkCQJWq0WjLGwpg/Pnj2LJUuWoEuXLtDr9Thx4oRXJ6SsrAwOhwMGgwGMMZjNZlUHQpIk3Hfffbj55pvRsWNHnDhxAgsWLFCNFvfu3Yu+ffviwQcfROPGjbFmzRrMnDlTdZ+3334bZ86cwU033QTAKXhffPGF6pyRI0fiv//9LwYMGIDjx4/j5ZdfVgnhsWPH0KtXLzz66KPIy8vDxo0b8dJLL6nE9JNPPkFJSQkmTJgAjUaDRYsWqQzfAKfQ7927FxdccAFKS0uxePFi1X2KioowevRo3HnnncjPz8euXbvwzjvvqFzfVq1ahfHjx2PMmDEwGAz4+eefvaLFbdy4ESUlJcjNzYXNZsPu3btVI+jy8nIMHjwY//3vf9G+fXvs2rUL//d//6fqRK1ZswYDBgzAvffei5SUFHz//fd46623PKuaqAWiYZ1+vkPBXoLEV7CXsrIymEwmGI1GRcgDCbjNZoPFYsHo0aMp2AtBEDWOb+t0BLROv+6661BZWRm2V4hGo8HHH38cUbCXUBPruGOz2bBgwYKw7l+foJF4BHiOyOPj42kEThAEESVoJB4YEvEIcRdyk8kEjuNIwKNAYmIikpOT4XA4ohY4whdGoxHp6emQJAmnT5/2uSbuCj0pSZJPQzaj0Yj+/fsjMTERu3bt8hl3Ozk5GTk5OZBlGceOHfNKeMJxHHr06IHmzZvj7NmzWLdundeafUpKCm699Vbk5uZi9erVPhOeZGdno1u3bgCA7du3K/HY3bn44ovRvXt3nD59GkuWLPGy7UhMTMS4ceOU6fTPP//cy8ipSZMmiivd6tWrvdamAeDyyy/HpZdeijNnzuDDDz/0MhTT6/W45pprkJ+fj507d+Kbb77xCriTkZGB/v37Q6fTYevWrdi/f7/Xfdq2bYtOnTqhoqIC69at8zKsE0URAwYMQJMmTXDs2DGsWbPGa9nElUfcFWLUn3EeEVtIxANDIh4FXBbrgNN1iAQ8MrKyslR+yVlZWdi9e3fUo2jl5OSgdevWynaTJk2wY8cOlQFZUlKSyh1Mr9errMbT0tLwxBNPKH7fw4YNwzfffIMvv/xSOadx48bo3r270qi0atUK69evV1lfT5gwQZU/fNCgQZgxY4bSaWjUqBE2bdqEvLw8AMADDzyAt99+W+XT3b59e9x6662K69wll1yCDz74QBUc5bHHHsN1112nbI8ZMwY33XSTYsyWlJSEdevWKe5V9913H6666iqVj3rnzp3x0ksvKe/59ddfj+eff15l/Pbcc8/h0UcfVbbvu+8+9OnTRwk8o9frsXDhQnTs2FE5Z/jw4bjjjjuUDkNeXh4ef/xxxQ98xIgR+OCDD1T3GTZsmCrX/JAhQ/DCCy8onRdBEDB16lS0b99eOWfAgAF45plnlA6DwWBQos8BzvfgwIEDfqPMEURdgqzTI8S1Bs5xHPR6PSwWS0h+5IQaQRC8fK9FUVT5/kYDnudVQVpc98nPz1e2tVqtV4hGjUYDvV6vbI8YMUIVuAVwilFycrKy3bFjR9WoQBAEVVCW5s2bqwQccI6oBw4cqGxPnjxZEXAXkyZNQps2bZTtkSNHqnzfBUHAVVddpWzn5+erBBxwdmRchnAAcNddd3n5R48ZM0YVHOXOO+9UdVR5nsfEiROV75iTk4OHH35YdY2srCyVqF999dUqAQecMwQXXXSRsn3dddd5Bd8ZM2aM4lMfFxeHkSNHqo7Hx8ervnPv3r1VAg44Ozvu/uh5eXle8Rvy8/PrdLCXnAQ97umRh1cGtwdfQwNOvcijdWo8shJ0EGppVBtL6/T6Col4BHgasaWlpQXlfkb4R6vV+oxo5y6c0bqPr0baPVKcr2AwgDogTFZWltdxnueVkJOeou/CPfSuK3iJJ+773WcM3HHf7wow44576MtmzZr5vIb7/latWvk8x31/48aNvY6npaUpgtuyZUufdeh+Dc8OlAv3TpSvZxsXF6d0mtLS0nwGT3J/btnZ2T7v477fV5Q+nuf9xtiuLXgOGNA0Fa8P6YgVN12Iqf1bYXjLTCRoa6azoRd4ZBh06JhhRJ/GKWiRYoBB4/s3UVOQiAeGRDxM/FmhJyYmkpBHgNVq9ZmIxHMNORr38ZXJy73O/Lmbua/PHz582Odxl0ucKx67J+5rrv7yjx85ckT5/9atW72OS5KEHTt2KNsnTpzwOsc9hvu+fft8Ptvdu3cr/9+2bZvPsmzfvl11HV/3cflv79y502c2NvdrePrF+9rv69mWlpYqyxlnzpzxaaPg/tw8fcR97ff1O3U4HH4D+cSatDgNbu3SBD+OuRDzruqGa9o6OzdFlpqxE/HEJknQCjzyk+PROzcFXTKNyDBoa2wGgAgNEvEwCORGRkIePrIs48iRIypDKovFEnU/ccYY9u7dq/J/tlgsqsbdbrd7RYqzWq0qgfr2229VQinLMj799FOVcG/fvl3VIbBarSrjtxMnTuD7779X3WfPnj349ddfle3XXnsNv/32m+qcKVOmqNZtP//8c5XwVFRUqPzET548iTfeeEN1jT///FOVdOT999/3CtTywgsvYOfOncr2W2+9pbILqKysxKuvvqpsnzt3DpMnT1Y92z///BMvvPCCsv3tt9+qArsATv9z987KwoULVXYDNpsN77//vnJdlwuR+7M9c+YMlixZomxv374da9euVd1n7dq1qs7K4cOHVc9NlmXs27ev1mNm98xOxgsXt8Pqm/ti+sA2aJ0Wj1KrHcfLLCi1OuD6iQzOz8DlLRr5/buocRo89TZVr6n2MwObpkEvOkfdMgNskgyLQwJjDBkGHbpkGnFhbirykgzQizUnIzQSDwz5iQeJy0+8e/fuiu9kICt0X37k5CceHDqdDkajEZIkoaSkpMYaVJ1Oh9TUVMiyjMLCQp8jVY1Go1in+xq9i6KIrl27wmg0Yvfu3T4twvV6PTIzMyHLMgoKCnxa2+fl5SnW6X/99ZeXRbgoihgxYgRyc3Oxdu1ar6AygHOavkOHDmCMYefOnT5nAVq3bo1u3brhzJkzWLt2rdeMA8/zuPzyy5GXl4dNmzaposK5SExMRN++fSGKIjZu3OgzRGrbtm1x8cUX4+zZs/jmm2+8Ruccx6Ffv36KdbqvWYC4uDhccMEF0Ol0+P33333ep1GjRmjfvj0qKiqwY8cOn3XUoUMHxTrdvUPi/p3T09MhiiKKi4trbRSeqBUxvGUj/LtjLjpkJEIn8DDbJZRa7ZA9Wmq9yCMrXg9HgN+G2S7h06NbcLKiakDRyN4cd3TL97vWbeL1WJHQFlrZAYfD+13lOQ4agQMHDpIs42yFDSfLrSiqrHr20fATv/XWWyPyE//ggw/Oez9xEvEgcYm4a10vWDcyTyEnEScIwpMOGYn4V9tsXN0mC+kGLRgDSix2VDgC57iv7lelEXikxWkw79BmHDNX5Z/PllpgQpd8nCr37fFhFuOwI70TRNkOgVXfSdDwHASeBwOD2SbhRJkFp81WMF4gEY8Bddf8sg6i1WohSRIyMzODfrE8A8LUNWMZgiBqj04ZiXi8fyt0z05GnMij0iGjoNwKKYSxVbVnBrhOdUcljg9KIOwyg12WwHMcErQC2qQloHmKAQUV0ctiFu5nGwIk4iHA8zySkpJC7hm6C7nBYPBr9dxQyMrKQnZ2Nniex7lz57zWwIMhISEBrVu3RmJiIsrKyrBv3z6vBCE9e/bEpZdeiri4OPz1119YunSpakpXFEVccsklaNu2Lex2OzZt2uQ1pZuUlIQ+ffogPT0dJSUl2LRpk1fQkksvvRS33347UlNTsWHDBrzyyitKpw1wWrnfeOONGDhwIBwOB77//nuvQC3Jycm44oor0LRpUxQVFeGnn37yMuwaMGAA7rvvPmRnZ2Pjxo14/vnnUVhYqBznOA4XX3yxksJ0y5YtWLVqlerZJiQkKFPlpaWlWLlyJf7++2/VfTp27IixY8cq/vnvvvuu13e+7LLLMHDgQAiCgN9++w1Lly5VLUUYjUY8+OCD6Nu3L4qKijB37lyvNfDc3FwMHToUGRkZOHHiBH744Qev6fJ+/fph4MCB0Gq1+P333/Htt9+qliK0Wi2uvPJKdOzYEZWVlVixYoWXEaAgCEhISIAoinA4HCgvL/daNuF5HoIggOM4SJLkc1mlJshK0KFVajwMIg+ZAZV2KSQBr0kkToCV18IgBRefQWYMksxB5AGR56CPNwT+UABIxANDIh4CVqs1bN9Rl5CXlJT4zIHcUMjKylK5GhkMBmi1Wp8Wz/7QarXo1auX0pmKi4tDcnIyfv31V2U99IILLsCtt96qfOaSSy5Beno6Zs+erewbOXIkunTpomyPGjUKjDHFilqr1WLUqFFKfRmNRmRlZWHhwoVKh6Ffv36qZBlNmzZF8+bNVcFRJk6cqPJnvueeeyCKomJ0Jooi7rjjDsVFLDU1Fc2aNcPrr7+uZNK64IIL8PHHHyvvX9OmTdG+fXtcccUVir3AsGHDcNlllyn3GTFiBLRaLZYtWwbAKVTjx49XfO5TU1Mxbtw4vPPOO4qBXF5eHl588UXl2WZlZaF169a4/fbbFfEcNmwYxowZo3pu8fHxWLBggbJv9uzZSmeiadOmePvttzF+/HisX78egDP63B133KHMTKWkpKBJkyaYOXOm0tHq27evyod9yJAhSEpKwkcffaTsGz9+PDp16qTadrfa5zgOKSkpisubIAjQaDQ4d+6c0rnheV7lqiaKIjiOi0o+7EAsP1SIjfM34IqWjTCmQy46NUpEapzG7zp4LBGYBJuoBQ8GveTtbeDCc338ZLkVRbIAIS66bqGEb8g6PQQiNR9ITExEQkJCtSFETQ4Tviz8UvVncpj8nl/f8OW326hRo5BmJ7Kzs71mQ7Rarcqv2D1QiovOnTsjJSUFgFP43Rt/F+5BTfLz8706XFqtVhVg5YYbbvC6Rs+ePRX/bY1Gg8svv9zrHPeAJK1bt/by8dZoNOjZs6eyfeONN3p1IDt27KgIJeDsUHjivq9Zs2ZeQXMEQVAFmhk6dKjXs83NzVXd59JLL/W6j2tUDgBt2rRRne/CXfhdxmruJCUlqYLg+KpD9wREKSkpPuvQPWCMXq/38lnneV7lu+/r3YvlbFmZzYFFu05i1OLNGP3FVnz8x3HYJBnZCXpkJ+j8Wn9reQ65iXrkJPj/y4jX+R3Za3jO7+caGXTQ8YCB2WEVdbAI3suAIs9BLwrQChwq7TL2F5Vj/fFiHLUAvD7eZwreUCHr9MDQSDzGxMfHR9wZqM/4CgLCcRx4ng96CtNfA+u+39+Sh2u/KIo+y+I5IvOF+znuwWHccYmEIAg+y+IuIoHKCvgOSOJ5f1/Xcd/nKzCK535/QXXcBdeXXYdWq4UgCJAkyW9Z3fcHUxZf34fneaVe/D039/L5a8iDaeA5jov5b3VbQSm2FZTi/zYdwFWtsjCmYw5apyYgPY5Duc3hdC3751ydKMBsk7DgL6fo+4PjZZTp1YL648HTqM7NnItLQGL3FsjQcJCZDKvofKYG2QqR58FzHCTGcMZsxalyCworbWBM7V4bjTDJNJ0eGBLxWqAuh3Osac6dO+clfKWlpSElODlz5gxatWql+pHKsqzKv71jxw6vMKUnT55UzikrK8Px48e9oo+5Bz45evQoJEny6jQcOnRI+f/y5cu9RsAnTpxQrmOxWLB582bVqBqAygd8//79sFqtXuLoHvhk2bJlqtE74HyW7r7jf/75p5L8xH2fi8OHD6O8vFwVLQ6AyuVq3bp1GDFihOq42WxWBWrZunUrLrnkEtU5f/zxh7KUsXPnTpw8edJr1L98+XLl/7t27cKgQYNUx+12O/bu3ats79ixA8OGDVOdc+jQIcXe4MyZMzh16pTX7M7vv/+u/N9qtSI+Pl71rrhyx7uQZdmrQyfLcq12tosq7fjoj2OY98cx9GuSitHtsjGkeQZyE/WwywzFbgr8+uZDMFn9T/37SkW6t6gcm477HymnpKTgjo4OZGg00EtWCBxg0ejhkHnItkqcLLOgwGxFhb2q4+0ZH8NfR42ILjSdTsSUI0eO4PTp00oDaTKZVA13MJSXl6tEw2az4Y8//lD5RC9fvhxr1qxRRvdHjx7FO++8o2qYP/vsM2UtWJZlbN++HatWrVKOl5WV4ccff1QCvlitVqxatUpZpwaARYsW4f3331fK8vfff2PSpEmqTsnLL7+siqy2Zs0avPvuu8q22WzGvHnzlChuVqsV33zzjcpOYOnSpXjllVeU0c3hw4cxfvx4VTCaL774QpXsZNeuXapgLzabDfPnz1eMx+x2O5YvX64S+i1btmDOnDmKn/SZM2fw9NNPo7S0VDln4cKFqs7Drl278N577ynbdrsdEydOVAzmbDYb3nvvPXz22WfKOUePHsUXX3yhfJ+ysjJ8+umnqkh23333HTZu3Kis+R88eFB1H8YY3n33XaUOJUnCmjVrVAZ0kiTBZDIp15BlGSaTSTXr4zJkc70bsizHZD08GBiAX48V4b6fduKSBRvw/Lq/ccxUibQ4DTIMsUm0pBcFxDM7mKUCBXYef5TYcbCkoloBjxY0nR4Y8hMPEpefuPuaXDgE8hM3OUz4ueRn1b7ByYNhFOu/n6NnEhCe5yNKMcpxHHQ6HaxWq99Rk16vh1arVVmLe+KyU/AVKtR1n/j4eFRUVPgNOmMwGJCQkKCaDfDElVrV31ohx3EwGo0wm81+RUSv1yMlJQUFBQV+v7Pr/fSMNud+n8TERCVokS80Gg2Sk5NRWFhY7X0EQai20W7UqBHKysr8Bk9xWY6XlZX5fbZ6vR4ajaba+xiNRq9oep7wPF/rUdiigYbnMKhZGq5rn4PmyfG4fOGmaqfTfY3EF28CSny/HgCcI/HxN45Bs3gB58orcarcinKbw6dY+xPwaAR78Uy2Ewo2mw3vvPMO+YkTRE0QDTcexljAdTeLxRLwnEAGOIyxgOdUVFT4FU0XgXJUM8ZUI15fWCwWnxHhPMsS6D7VdWoA52ja060s1PsAqLZTAzjfg2C+c6A6DPR9AJwXAg44/bKXHyrE8kOFgU+OALNdwtZT5aqOnkuk3UWxpkNMN5QRdbjQdDpRKzRr1gzt2rXz+wPleR65ubmKNbkvRFGE0Wis1pI4JycH7du393sOz/No06aNKn+5JzqdDs2aNat2BiY1NRX5+fnVlqVly5Zo2rRptfdp2bJltaOGtLQ0tGvXrtrRSXZ2tt/sXUBVylXPFKruJCYmIj8/v9r7pKWloVGjRn6PC4KA5s2bIy0tze85Op0OmZmZ1a6fpqSkICsrq1ojtfT0dMWN0xeud6Uh26NEC/colLEQcJpOrx56o4mYkpCQgIULF2L48OEAnIZko0aNUq3/NmvWDPfcc4+SRnPjxo147733VFPMeXl56NChAwRBgMPhwM6dO1XZq3Q6Hd59911cc801AJwGUTfeeKMq3njr1q0xf/58xR1s2bJlmDBhgmpt/aKLLsK4ceMQFxcHu92OxYsX49tvv1WOC4KABx98EFdccQUA4OzZs3j66adVRmlNmzbFBx98oOTPXrt2LW6//XbVyHzgwIF47LHHYDQa4XA4MH/+fMydO1c5znEcnnjiCYwdOxY8z6OwsBAPPPCAykAuJSUFjzzyiPJ99u7dixdffFF1n27duuG///0vkpOTIUkSvv32W7z77ruqKfObb74Zo0ePhiAIKC8vx6xZs7BhwwbluMFgwK233qrc5/jx43jvvfdQVFSknNOpUydMnz5dqcNvv/0WL7/8smr2pV+/fhg0aBBEUYTVasX333+vqh+tVqvyAy8oKMC7776rsknIzMzE1VdfreRv3717N7799lvVfVzviivYy86dO70C6bg3+oyxBu1BQtQvaCROxJTnn39eEXAAaNeuHRYuXKhs8zyvEnAAuPDCC1WfSUpKQufOnZVRryiK6NKli2oE+9BDDykCDjh9vhcsWKCyQv7ggw9U+biHDRuGxx57TNnOysrCHXfcobhGaTQa/Pvf/0a7du2Uc6655hpFwAFn/u7p06erRrCvvfaaIuCAs2Pw9NNPqz7z9NNPK+UXRRHjx4/HgAEDlHOuvfZajB8/Xil/eno63nrrLdXo884771R9nzZt2uDOO+9UthMSEjBlyhRF8ARBwMiRI1V+33369MENN9ygPNuEhAQ89NBDKvuNq6++WnWfxo0bq4KyaLVaPPfcc6o6HDFiBP71r38p23l5eRg8eLAyMtbpdBg5cqTqPldeeaXKDzwrKwvjx49XtjmOUwk44Hyf+vTpo2wnJSWhS5cuyn1c74r7LITnqK0hjeLCwX0N3DPBU7ShkXhgSMSJmOIueC66deumBGrJyclRNf4uOnfurPzf3xSu+/4hQ4Z4HW/evLkSLS4nJ0cVWMSFe8Qz946CO+5R3i688EKv46mpqcp9DAaDSlRcuAunr8AnAFSf83THApxrkd27d1ddxxP3fe3atfMZLdA9MIuvIC06nU4lpr6eW8uWLZWOS5s2bXwabbp/H/eofS54nkeLFi2qvU/jxo0VAU5NTVUJuAv3a/h7VzIzM33ud9FQBCBUPI3YfGVqjCYk4oEJeTr90KFDWLt2LY4cOYKKigpkZGSgW7du6NOnj99AEQThwj0PtQt3i21fqTMBtRGVP4tq9/3+jMhc+13xsz1F2v1zwZTF31qga7/NZkNFRYXXerr7fQJdA/BvuOVuFGY2m73Wud2/gz/jPPf9/s5xv05FRYWXr7nValWWO4L5Pv6s1T3zoXsiSZJige7PEt3dCM7fu+IrXSlRPf6s0D2N3WpqfZzwTdAj8U8++QS9evVCixYt8Mgjj2DJkiVYu3Yt3nvvPQwbNgyZmZmYNGmSal2SIDx55ZVXvPa98847ingUFxdj06ZNquOyLOPHH39Utk+cOOFlrVxZWYmTJ08q22+++abXfRYtWqSsp5pMJnz88cde57z99tvK/7ds2aJafwWcDdSaNWuU7S+++MLLyn7Dhg04evQoAGcHxd232YV7DPfffvvNKwmJ2WxWJUn5+OOPvURr8+bNKv/zpUuXet3Hfd+ePXtUfuSAU8y+++47ZXvZsmVe4nnw4EFVsJeVK1d63Wf16tWK9ffhw4exceNG1XGHw4HFixcr2zt27PC6T1FRkSpmgK/7rF+/Xqn78vJyr9zgjDFs3rxZ2T5x4oRXh8FiseDEiROqz3iugdOauJpAfuA1NSKnkXhggvIT79atG7RaLcaOHYsrr7zSy5LXarViw4YNWLhwIb744gu8/fbbGD16dI0VujaIpp94eXk5xowZ02D9xK+55hpMmjQJBoMBX331FWbOnKkSQo1Gg+HDh6Nz584wm8348ccfVYZigHOauk2bNkhMTFQCxng21pdddhnuvvtuJCUl4ccff8TMmTNVIzBRFHHPPffgiiuugNlsxnvvvacSNMBpLHbttdciLy8PJ0+exJdffunl4tW1a1dcf/31SElJwZYtW7BgwQJVJ4PjONx222246qqr4HA4sGDBAnz55ZeqayQnJ2PChAno0KEDTp48iQ8++AAHDhzwus+kSZOQmZmJ3377Da+//rpXgzp48GBl6v2XX37Bzz+r36X4+HiMGTMGHTt2RGFhIRYvXuwVbCc/Px833HADsrKysGfPHnzyySdeMwE9evRAnz59IAgCtm3bhrVr16qET6/XY+zYsejRoweKi4vx6aefqjocgNO6feDAgUhLS0NBQQFWrVrlNRPQuXNnDBgwADqdDr///jtWrlypchUTBAEXXnghWrRooUTHc4+oBzjDvbZt21YRob179/oc5bsbtp1PhOsnft1116GyshJ6vT5oK3TPsKuR+onfc889YadvtlqtePPNN897P/GgRPzHH3/E0KFDg7rguXPncPjwYdVa3flAtES8uLgYNpsNt9xyS4MVcYIgYkckIs7zPOLj40NyI3MJudlsxuzZs0nEa5ig1sSDFXDA2buuzi+0PhOpCJWVlaG8vLxBpyIlCKJ+IIoiDAYDSktLQ1rndp1bXRyCYKEEKIEJ20/8zJkzOHPmjFcUJHcr4vMNnU6H9evX+zXKqQ733qksy3jiiSd8GnkJiQKSByer9pX8XAKpLLLoZnUJg8GAli1bQqPR4NChQyr/Yhfdu3fHsGHDUFxcjP/9739ez4rjOHTo0AFZWVkoKCjAzp07vaZB4+Li0LFjR+j1euzfvx8FBQVe92nWrBl69eqFyspK/Prrr14GcRzHYcCAAWjXrh0OHTqEFStWeIVEjY+Px2WXXYaUlBRs3rzZa+ofAJo0aYL+/fvD4XBg1apVKCz0jrY1ZMgQXHjhhTh06BA+++wzrzVwg8GAG264Abm5uVizZg1Wr17tdY1GjRopCVnWrVvnM2LawIEDMWDAAJw4cQILFy70mlrW6XTKstm2bdt83ic5ORndunWDKIr4/ffffd6nc+fO6NWrF4qLi7Fs2TIvQ0Ge59GtWzdkZmbi6NGjPuswMTFRsd7/888/fUary87ORqtWrVBZWYm//vrL6/fJ8zz69u2LvLw8HD58GOvXr/dqt+Li4tClSxcYDAbs3bvXa828XmMrBo4uVu2a23Q0oPUfSKmoqAgff/wxtFpttQGXqsPXOx4qJOKBCTl2+tatWzF27Fjs3r1bebldKfs4jos4lGZdxWQyYerUqdBqtTh79mxIMb8914ni4uLw2WefNUgRT01NxTXXXKN4MsiyjJ9//lkV7GXSpEl46623lO2TJ0+iX79+SoAOjuMwduxYtG3bVjln9+7d+Pjjj5V3MiUlBePHj1cZ2Xz77bfYunWrsj1o0CDcd999ioW6yWTClClTlIQaAPDCCy+oMmlt2bIFd911lyLk6enpmDt3ripC2ltvvYUFCxYo2/369cNTTz2lRCUzm8148MEHVWvRs2fPxl133aW6z8CBAxWBTUlJwbp161Q+6jNmzFD5tXfq1AlPPPGEMv1otVrxzDPPqBKczJgxA48++qiyvWvXLvTv3195Fw0GA7744gtVZ/zjjz/GlClTlO1mzZrh7rvvVvznHQ4H3n//fVXnZdy4cbj33nuV7RMnTmD8+PFKwy6KIu6++26Vq9mWLVvw0UcfKdtZWVm4//77lZkrWZYxf/58bNmyRTmnR48eqqxrZWVl+OCDD5Tvw/M8pk2bpsoTv2nTJkybNk0R8pSUFEycOFE15bpkyRLFOO98FHEEIeL/+9//kJCQEHbs8oqKCkyYMCGi6fR77703oun0119//byfTg/ZT9wVqWn9+vU4ePAgDh06pPr3fMZms0GSJKSnpwedZq+msvvUV/r27atyReR5HhdddJESxCQxMRH/93//p/pMTk4Opk2bpmx36NBBJeCA0we6ffv2yvagQYO8rGSHDBmi1JsoirjjjjtULmZGoxG33HKLst27d2+vVJg9evRQBZ4ZO3asV4jTO++8UzV6uffee1XvS3x8PCZOnKhsd+/eXSXgrvu4B2p54IEHVAIOAFOmTFH5RE+YMMEr7/eECROU7ZYtW6oEHADat2+P+++/X9m++eabvWbTbrnlFlWwmquvvlqVG1wURZUha2pqKiZNmqS6Rm5uLm699VZlu2fPnl6+4j169FAFkbnqqqtUS088z+Paa69V6kyr1Xot9SUmJqp86vv06aMScMBZr3379lW2L7vsMq9G/oorrghbvM4X6kKIWrJOD0zIIn7w4EG89NJL6N27N/Ly8tCsWTPV3/lOcXExHA5HUEJOAu6NL2O+uLg4xViwRYsWKoFw4S4irsAwnrgH8PAV5MN9ajA1NdXL1xmAKrZ5y5Ytfd7HfX/z5s29jouiqPwW4uPjfZYlPz9f+b/7d3PHfb97sBV33DsunvnTAfX3cT/X333atGnj8xz3TpOvuOypqalK5ywvL8+nALh3OPzFdnfPQe6ZjxxwPk+X4KakpPj8Dbo/b1/PBICqrfIV+EWr1Z63tj31CRLxwIQs4pdeeil+//33mihLvYAxhsLCwoBCTgLuG1/r35WVlcq08YEDB3y6/7hPCfta2/bc72uN1mazKdOsRUVFPuvF5d8NAPv37/d5H3efbk83MMA5veyKl2A2m718zQGo3KDcv5s77vv9nePuJ+0ZDxyAKm6Dp0+1r2vv2bPH5znu+9398V0UFRWpcp37Wm5yf26+ruG539c5ZrNZCXDj8vTwxL3ufT0Tz/2+3iebzabkXSeIukzIIv7ee+/hgw8+wNNPP40vvvgCS5cuVf01BAIJOQm4f9yDdQDOdc41a9Yo65NlZWV48MEHVZ85ceKEajp9586dXmKza9cu7N69W9letWqV6tkzxvDjjz8q4uJwODB37lyVDUdpaSnmzZunbP/222/44YcfVPfZvHmzypd83rx5KiMoAJgzZ47K3uG1115TiVp5ebkqqMy2bdtU2677uCdAmTlzppcIP/fcc6olrPfee09lDGe1WlWBZg4cOIDnn39edY2dO3di1qxZyvb8+fO9/Lk/+ugj1Xr3V199pTIeczgc+Oyzz5TtoqIir+9z/PhxfPDBB6rv59lJ2rx5s8o2YunSpSq/cVmWsXjxYuVdsdlsqiBAgHMtddWqVcr2hg0bvALPbNq0SZXQ5eeff/ZKh/rdd99RVLc6AI3EAxOyYds333yDm2++2WcYyPPdsO3hhx9GZWWl0iBznDMFoiiKKCwshN1uDyjgGo2mQRu2Ac7p81atWkEURRw6dMjnc+jWrZtinb5w4UKfVuPt27dXrNN37drlZYCk1+tV1um+RsRNmzZFz549YbFYsHbtWp/v9UUXXYR27drh8OHDWLFihdc7bjAYMHjwYMU63TMqGuCM+d2/f3/Y7Xb88ssvPkd5gwcPVqzTFy9e7CUicXFxuP766xXr9LVr13pdo1GjRkqM8vXr1/vMCX7RRRdhwIABOH78OD777DMva26tVosRI0agadOm2Lp1q8/7JCUloVu3bhAEAX/88YfP+3Tq1Am9evVCUVERfvrpJ5/W6V27dkWjRo1w7NgxnzMFCQkJKut0X6PmrKwstGzZEhaLBTt37vRpnX7hhRciPz8fhw4dwsaNG31ap3fu3BlxcXHYt2+fahagoRq2LV68GHq9vlYN2yZPnhyRYdvMmTPPe8O2kEU8Ly8PI0aMwBNPPBEwicD5hC8RB9RCbrVaERcXV+0InEScIOoXJOIk4nWZkKfTz507hwceeKBBCXh1uKbWeZ5HXFwcKisraQqdIAgiCtB0emBC9iG45pprsGrVKpWlaUPH3cpZp9NBo9GE5EceFRL1gEYAinxn3qpLaDQaaLVacBwHu93uNxtVdaSmpuKyyy5DZmYmCgoKsHz5cq+ZjbZt2+Kiiy5CXFwcdu/ejZUrV6qmwl3TrG3atIHNZsOWLVu84oinp6dj/PjxaNWqFY4ePYp58+ap/MgB4OKLL8ZDDz2ERo0aYfny5XjmmWdUxnkcx2HYsGG48MILlWAvv/76q+oaaWlpuO+++9C1a1ccP34cb7zxhmqNH3CmPX3ssceU6fRp06Z5reVefvnluOSSSwAAK1aswLJly1THk5KSMG3aNCXYy3PPPeeVcKZr16544oknkJ+fj40bN+LJJ5/0CtwxdOhQDB8+HKIoYuXKlfjiiy9UI9b4+Hg89NBDGDRoEM6ePYvXX3/da1o+KysLI0aMUIK9fPPNN17LJn379sUVV1wBvV6PjRs34quvvvKKs3/llVeia9euMJvNWLZsmZfhbXp6Oq666io0btwYx48fx9KlS72+T+vWrdGvXz/ExcVh7969WL16tVdQHyL2ULCXwIQs4q1bt8aUKVPw66+/olOnTl5GXe4BHhoC7mvg5eXlSE9PR3p6urJGHjO6NgZykp0i/vdZ4FgR4JADfizWaDQale+vKIrgeT6kKHgGgwF33XWXMkWWk5ODFi1aYNasWcp12rZti9tuu035TJMmTZCRkYFPP/1U2Td06FBVvu28vDx8+eWXinjq9XrMmjVLcXVq2bIlunfvjgkTJihr2v3798dPP/2kuFR1794dXbp0UeVNv/7663HVVVcp2+3atYNWq1WydGk0GsyfP19x7+rQoQP69++PK6+8UrEu79KlC3755RdlavGCCy5Ar1690L9/f0U8R48ejXHjxin3ad++PRISEvD5558DcDZqP/zwg7JmfsEFF2DIkCHo3bu3InwtW7bE2rVrlY5pt27d0K9fP/To0UN5n6+66iqV8WGHDh2QmpqqMsSbN28eBg8erGxffPHFGDFihGJklpycjIceekh5F5o0aYLWrVvjmWeeUWwBLrroIjz00EPKNVq3bo2MjAxVBrg77rhDlae8U6dOePnll5XvYzAY8Mgjjyh5x5s0aYJ27drhqaeeUjparVu3Vj23xo0bIyMjAwsXLgRB1HXCsk5PSEjA6tWr8eabb+LVV19V/tytXBsCnkZswbqf1Qg8D4gCkJ4I9GkOXNkZ6NoESPL2ua5NfK1vhbrm1qVLF681rqSkJFWQkgEDBnh9rlu3bsrndDodunbt6nWOe2CQ/v37e/kqJyUlYciQIcr2vffe6+UTffnllyt+1YIg+Mw94C7y/fr18/LPjo+Px/XXX69s33333V7Prm/fvrjwwguV7auvvtrrPu77+vTpoxI8wPkc3AOz3HHHHV7+8507d1YJsnu5XPzrX/9SgrC0adNGdT7g7Ky5B6+58MILvXIIZGRkoEuXLsr2yJEjve4zZMgQJaZASkqK1/cBoArQ06tXL0XAXSQnJ6NXr17KtitMrTudO3c+r9dR6ws0nR6YkEX80KFDfv+iFbHtrbfeQl5eHvR6PXr37o3ffvut2vMXL16Mtm3bQq/Xo1OnTvj+++9VxxljePLJJ5GdnY24uDgMHjzYrw9wsPizQq9VIZdloMIKVNgArQi0zwaGdgAGtQaapgJ87b/Uvn5Yof7gfAWD8dzvHhXOHdd+rVarRInzdRyAz2Awnvv9xZV2CYcoij47Lu4C5k8s3BNIeAqRr/2+suu53yeYawRzjq/notfrlXfd3zXcv4+/TIDu+30lChIEQakjf++B++eCuU+gd4WoPc43EZdlWeVqGQ1CFnF/nDp1Ci+99FLE11m0aBEmT56Mp556Ctu2bUOXLl0wdOhQn8E7AKcbzZgxY3Dbbbdh+/btGDVqFEaNGqXya33ppZfw+uuvY86cOdi0aRPi4+MxdOhQlb9yKARyI4u2kEs9mwOjulb/l+HWsDIGWOyA2eoU9pwkoF8LYERnoGMOkBCetWc08LXO6HA4QrIA9ly3Bpw/Dvf9voKWFBYWKq5QZWVlPl3O3AOSbNmyxafLpPsasmf+ccD5W9i+fTsAp4Ws59o2AJUv9saNG32+i+7+zp4dUwAoKSnB+vXrVeX1ZPPmzcr/161b57WG7vkdfH2fyspKL99rT7Zv3658hx07dvh8tsuXL1f+7ytJjCRJqmflHufexcGDB5WAQadOnfJ5H/dn6y9Ijvv9fb1P586d8+k2RxCRwPM83nnnneheM9QP3HrrrT7/brrpJjzzzDMRF2jmzJm4/fbbMX78eLRv3x5z5syBwWDw23t57bXXMGzYMDz00ENo164dnnnmGVxwwQV48803ATgFddasWZg6dSpGjhyJzp074+OPP8bJkyexZMmSkMvnCvsYKJBLVIU8OR4waAGt4P+P55zC7YldAsw25zGDBujcGLiiI9C/pVPcY9xZ9XTRkyTJZ4S26jhx4gS++uorZe3UZrNhyZIlqgxXK1euVIQUcAq4e4IUwBm0xL2hdhk0uTh+/DhefPFFxb/ZZrNh9uzZ+OOPP5Rz3njjDVVAlWPHjuGaa65RGevNnj3bK0Kbe4KUM2fO4P7771eMuux2O15//XX8/HNVXvl58+bh1VdfVToVBQUFuPbaa1Wi/NZbb6l81Hft2qVKJFNaWoprr71WET5JkjBz5kzMnz9fOefrr7/G9OnTlTo6d+4cbrjhBpV/9ptvvqnqMOzbtw8zZsxQtq1WK26++WYcP35cVX73NfN9+/bhiy++UO5TWVmJefPmqTrrCxYsUHWYjh49ipdfflnZZozhtddeUwn5hg0bVEGnjh07hvnz5yv1YbVasWDBAlVkvtWrV6uM4c6dO4dPP/20/ruWnQecbyNxwJkjwKVP0SBkP3HPdTdJknDw4EHs3r0bb7/9tmrdK1RsNhsMBgM+//xzjBo1Stk/duxYlJSU4Ouvv/b6TNOmTTF58mRVEoennnoKS5Yswe+//46DBw+iRYsW2L59u2oNdODAgejatStee+21oMpmMpnw2GOPhZxf1zMgDICQ/cTPcU2c693WKFnLagTndDtjgMkCHDwLHDrnuxNQQ7h+ZJ5BN0JBq9UiNTUVRUVFfqNrGY1G6PV6nD171m+jnJaWBpvN5rdOdTodcnNzcfr0aa+AJS4aNWqE9PR07N2712/Ao6ysLDgcDr8pGrVaLfLy8lBQUOAz6IyrrFlZWdi3b59fw0lXbHl/4Wk1Gg1at26NgoICv6FFk5OT0bhxY+zfv9+v90BWVhZEUVSJtTuCIKBVq1bVjmr1ej3S0tJw5swZv98nPT0dOp0OJ0+e9FmHHMchOzsbFRUVXtbtLnQ6nWJw6u/7JCYmIi4uzutdaYhiXlRUhEWLFsFgMNSqn/ijjz4akZ/4Cy+8UOf8xEeOHIk///wTsiyjb9++6NSpEzp16qTKxhcKIVunf/XVVz73P/fcc1iyZElEIl5YWAhJkrx80DMzM/3GdC4oKPB5vqsBc/1b3Tm+sFqtqh+7yWSCVivCYimH3VoOvTb4Xl656RySktOQ2SgDZaYSCALQKFmAnhe8zhXiBRjj1NfWcrKzpoRoWZvLALMDIg/k6oFGOUB+IrCpNrLQeT+D4JEA+1mkJVZ3HTMgmZGVWt2kUwm0WiAhzd81HKgsPQKjHjDq/ZwjnUPx6XNolFxNWexnoQGQ7fc+EsrOHUC8Boj3e04JigpKkG6s/j6o9j4yigr2QFvtOWU4d2o3UhMAJPi/j2Sv7hpA6dn9EKu9jx2ypaD678OKIVtQbR0y62nECUBcNXUoWwqq/z6oAKQKr/vYzSf8nH/+4qg0wWqpgMDLEPnwjGPtttBm2BoKrsFoeXk5du7ciT///BM///xz7ETcH2PGjMGzzz4brcvVOjNmzMDTTz+t2vf01Huh4ezgk0PvmTKUwcElI8GQBoFV4IHrkiEy70aJEzlo0tTVYkMFwHGAHKURAQ/n9QBAMgOVNiDLBnSkrE0E4cmZTY8FPuk8w1QpQrZloaiSB6u0QSOE1vbYJQ4l5ugY9dbVafFgGTx4MB588EFcfvnlqv0GgwG9e/f2SpUbKlET8d9//x3dunWL6Brp6ekQBMHLWOX06dN+009mZWVVe77r39OnT6vSH54+fdqni5GLKVOmYPLkycq2yWTCx3NfgCwzSGGJKQNDMZiQCgkamMwyeMl7ZM1pOGgT1Ne3ggMEPrCIB5r243nnGrgDgMUGlP9jyd7wZgsJImh4XXJtFyHm8BIPrchDZhxMlTokxUvQBDlpZpcAU6UAkY985vB8CPayZcsWJSXukSNHlDS47733HtauXauySQmHkEXcXdhcnD59Gl9//TWGDx+uOj5z5syQrq3VatG9e3esWLFCWROXZRkrVqzAPffc4/Mzffr0wYoVK1Rr4suXL1f8R/Pz85GVlYUVK1Yoom0ymbBp0yZMnDjRb1l0Op3PtRhZdv6FBwOYCUxIQKWNgXP4WN+TAc8lVYtdBrQ8Alqh8bx3gBf+n/0AYJeBMovzz0qx2AkiGHiNt6vb+Q4nAhzPw2hgMFs4lFaISDYwaAIoht0BlFZwEAUgTlP3gk3VBjabDYmJiQCcwYh27NiB5s2bo2/fvqrsjOESsoi7W/y607NnT5w5c0axLg23FzR58mSMHTsWPXr0QK9evTBr1iyYzWaMHz8eAHDLLbcgNzdXsYa97777MHDgQLzyyisYPnw4Fi5ciC1btiiWsBzH4f7778ezzz6LVq1aIT8/H0888QRycnJUxnPBwPOAoOEAFn4PTwbAODvSU0WIzPvxcwKgMaivbz9XDhYoMmmqwWms5hqt84Ai+nabc8RtsTt3GTlEcRKGIM5r7OXHAp90nuGoFMGkLICTkahnMFVqUGzmkRTnf2rdLnEordRC5CUk6u2QohAx8nwYibdq1Qq//fYbEhMTYTabFY+SxMRExV0yEkJuyd39RWuC66+/HmfPnsWTTz6JgoICdO3aFcuWLVMM044ePaoK0tG3b198+umnmDp1Kh577DG0atUKS5YsQceOHZVzHn74YZjNZtxxxx0oKSlB//79sWzZspCDOXAcIPIc+Aj8smTGwQEgKZ6HjvNhqCNwEHXq/Y5EAZACzHnrGeDe82UArHbA5nCOzkUACVELC0AQDQbJ6u1Fcr4j2XRgLANMlsBxMow6O0otepRWiDDqLdB4GNnaJR4mix4C74BRZwHHomPVfz6I+H/+8x/cfvvtyMvLQ+fOnfH+++/jzTffxNq1a6OSSKxODsfuuecev9Pnv/zyi9e+0aNHY/To0X6vx3Ecpk+fjunTp0dULkkCbA45IrcocDLAM+wttIFzeLtFcRoOusZqwznrcRuYPcAPIlsPxGucom36Z8o8kPATBBGQPpd1DnzSeYbVDPCiBrzI8E80XaRogFIzhzJbgmpq3e4AymwcNCKQFM/Ac06DNolRAhkAmDBhAlJTU7Fv3z7cfvvtuOGGG9C8eXOcOnXKr86FQlAiPmzYMEybNk0Vp9kXZWVlePvtt5GQkIC777474sIRIVBkBkoqgcoYZ08jCKJBwHNOkS41cyip4JBscA4SSio4iLxLwKN7z/NhJA44s3+6+OGHH5RgVTfccEPE1w5KxEePHo1//etfSEpKwpVXXokePXogJycHer0excXF2LVrF3799Vd8//33GD58uCqqEhEjrBIAMlYjCKLmcBfyYrNzeU4jsBoRcOD8EXF3RFGsduY45OsFc9Jtt92Gm266CYsXL8aiRYswd+5cZXGe4zi0b98eQ4cOxebNm9GuXbuoFY4gCIKoW/AcEK9nKDE7RTJeXzMCTgRH0GviOp0ON910E2666SYAzjjMlZWVSEtLi22mLoIgCKLWUNzIeOd0euk/U+uB3M/C4XwciUebsB97UlKSKrUgQRAEcX5jd6jXwAGo1sijLeQk4oGpk9bpdZZ/AqdF8mowAOA46LUceMFHbm0NB61HZCRBx8FHhFaCIGKAbPed9OZ8hjl4MCaAMVkJBGmXgFKzAEFgMBokpR00GoDSCgElZqgiuzFGwV5iAYl4CAg8oBV58BGkYZcYDwlAy8Ya6HnvGOwcz4GPV19f1nJg0YqbThBESFiLd9Z2EWKO1aoHc7QDY3bIsuz0A7caIHA2GDUVgMMZuMqFUQOUSgaUlPMw6iqgEWREQ8NpJB4YEvEQkGSg0h6ZnziDDMZz+PusHbzk209cm6W2MbAV2AP7iRMEUSN07duhtosQc3QVPDhRD07UQgJQVilAFIEkgwSeS/T5mWSNc0ReZjMiKV4CxyL3lom1iJ84cQKPPPIIfvjhB1RUVKBly5b48MMP0aNHj7DKEAtIxEOBOYU8klgv4AUAmpBip1utjEScIGqJBhs7neMhSRzKrc5Y6E43Mv9ZUAQOSI53rpGXVogw1DN75+LiYvTr1w8XX3wxfvjhB2RkZGD//v1ISUmp7aJVS8giPnbsWNx2220YMGBATZTn/IYTASHJmcubIAiiDiPLQLnNaaMTrB+4ux95mTXItGfVEMuR+IsvvogmTZrgww8/VPbl5+eHde9YErKIl5aWYvDgwWjWrBnGjx+PsWPHIjc3tybKVueQOQ0yMozQ60KfwHBZdfIAdNo4DLn0BiT56ODbZRuO206o9jXW5kLjY/28vjH3nbm1XQSCCJmG+N4y0QiWMQoAB4ujCKaiUGcCOUCTGnE5oiHiJpNJtd9fhsqlS5di6NChGD16NFavXo3c3FxMmjQJt99+e1j3jxUhW2gtWbIEJ06cwMSJE7Fo0SLk5eXh8ssvx+effw67/XwfYXIotwgB03p74u6WkWhgaCD2FgRB1GsYIJnwj09NyJ/lJFPg02JAkyZNFJfopKQkJQOmJwcPHsTs2bPRqlUr/Pjjj5g4cSLuvfdezJs3L8YlDo2w1sQzMjIwefJkTJ48Gdu2bcOHH36Im2++GQkJCbjpppswadIktGrVKtplrXU4ZoeDcSg1c0FPL3n6VUrkdUEQRH2A2RGegDvhIvisco0ojMSPHTsGo9Go7Pc1CgcAWZbRo0cPPP/88wCAbt264a+//sKcOXMwduzYsMoQCyLyPj516hSWL1+O5cuXQxAEXHHFFfjzzz/Rvn17vPrqq9EqY52BA0OiToJDdhpvBBqRewo4hSYkCKL+UPvGtC4RD/cPAIxGo+rPn4hnZ2ejffv2qn3t2rXD0aNHa/x7RkLII3G73Y6lS5fiww8/xE8//YTOnTvj/vvvx7///W+lt/PVV1/h1ltvxQMPPBD1AtcmggAIMCNRK8Bk0aO4TEaS3uJzerwqv66MRK0FzOFMTyJLPGRJgLXkACwWq9fnZCYhTipTX0sogVSNVWh9oVPz+r+uTxANASvT4rDEQQQPngtvrCdHNkaMOf369cPevXtV+/bt24dmzZrVUomCI2QRz87OhizLGDNmDH777Td07drV65yLL74YycnJUShe3YIxgONEaDQ8kngHSiu1MFkNMMbZVaNsu8TBZNVCFGQY4yQlvy4AcIwDJ/MQtEYIOh/5dpkDkkM9586LyRC4+u8NWFRGawkEUR9wcDIkLSAzBj7cETlXN6bTg+WBBx5A37598fzzz+O6667Db7/9hrlz52Lu3Lpt2BiyMrz66qsYPXo09Hq933OSk5Nx6NChiApWF5FlgOO14AUROgFI4YGSChFlFlGZLrc7AJOFg0YAkuI5L79KDk4hFw3Z8Ol+Kttg84gBI5wn1uknzvrotBAEUedgogMsnQEygxJ3NUR4vn6JeM+ePfHVV19hypQpmD59OvLz8zFr1izceOONYd0/VoQs4jfffHNNlKNeohGBZANDSYXT2C1ez/7J7kNr4ARBEPWNESNGYMSIEbVdjJCo/3O0tYxLyIvNPErMzvR8JOAEQRCRQ7HTA0MiThAEQdRJSMQDU7/MB+sgLjcyjcCQHC9DYsG5nxEEQRBEpJCIR4CnH7j2n6n1YP3ICYIgiOqJxEe8IUDT6SHA8wCTbZAlB+wSh9JKLUReQqLeDsjO/LoCBxj1zmMl5bKX+xmTODCJh6OiAHbmba0tMQe0jiL1PjucyVPqObkZ9f87EERDwMGJKBQ5cIwDjzAFMQpCStPpgaFWNQQ4DmDMAZtd+CeQiwNGnQWchxeGyAFGnQMmix6lFYIqIAyTeTAmQLKZIPG+g70Iklm9T+KB8yDYS2oiTfwQRH3AyngUS4AIDnyYYiiHK/5ESJCIh4AkARLiUWEToRFdbmS+k+YKGkAQ//Ejt2kVi3WZB3iOgy65DfR+sphVemQxSztP/MT/PLixtotAEEQQMNH2j5+4DLDwgjTxfOTBnWgkHhgS8RBgcObI1YnB+YF7+pEnxQdeJNfwWuTr634OW4IgzndqXwRJxAND85shwDgNRC40P3CNh7FbmMGPCIIgYgunQSRCzupAJ6AhQCIeEgwJeinkQC7uQl5WQUJOEER9gAMEI8ITcg5MMAY+LdBVopDF7HyHRDwEeGYPOxKbIuQMsEvRLRdBEETUYXanQa2YjNCEnHN+JgrGuCTigSERjyEaETDqGY3ECYKoB8iAVOp0bw1ayF0CLoKTSmu2eAQAMmwLDQ5gTAZj4Q+lBQHQSDyYoxKyvWGl5jToGkbPmCDqO7LAwcJxAJMAuRhMSAE0yeCkEnB+UpMycGBC8j8CXgwhCj93MmwLDIl4CAg8wOQKyPbwr8EkHpA1sJr2w2q1RK9w9YD2+fXfTY4gGgIWWYO/rYAAHgLngMRKYWHJ4MUU6LlScB65whnjYGFJkCFCz5VA0MiQoyAvJOKBIREPAUkGON4AXhP+Wg/HAxzHQ2dsBZ2hYY3Edx36vbaLQBBEEMiCHZYkALIMDjIAGxhXBIeQAhszqkbkzhF4EsAJ4KQiVPwTiTIafuJEYEjEQ4E5BZiLwGCD4/7pXYpx4H3HiTlvqbCSMQBB1AeYyMAYAxhQNXvuAORiQEwB45MBR4lzt5gMQATsxWBuoaSj8WunkXhgSMQJgiCI4GAOwOEUcmhS/tkpOPf5yAURKSTigSHrdIIgCCJ4mANwlDqDwXAa5/9rQMCJ4KCROEEQBBECHCC4JX4Q4gGHHdGZQPe4E43EA0IiThAEQQRJlR847Oecu8QU5z5HCaIt5CTigaHpdIIgCCII3ATctQbuWiMPKSAMEU1oJB4CggDIUgUke/gvqizxkCUB1pIDsFi884mfz3RqTn7iBFEfsDItDkscRPDgOR6McbDC6Qeug9MPvGoMKENipbAiGbwmBTo4/cjlKIwRaSQeGBLxEGAM4DgRHB/+y8kxZ1JxQWuEoGtYxiBFZeQ3ShD1AQcnQ9ICMnPmInNwSWAQIbJiSHDAO2alHTyK4eBSICEJIivxCggTDiTigSERDwFZBjheC16I4LExwME4iIZsaOIDn34+ceJsw+q0EER9hYkOsHQGyAD+CeQCRxFs1Vqh2wGuCBBTILEkcHJ5rIrboCERjyEyc6Yi5cgSgSCIOs8/qUg5Png/cDc/8mimIg33sw0BEvEQYBFEapMZUGrm4GCAIfIMfQRBEDULp1FG4CH5gbuEXJMaeRFIxANCIh4CDCIqbTy0IdpnKQIuO1ORymTBSRD1hjvuvKO2ixBzSs3At5s1iNMwxOlywrqGuTL8bI9E8JCIhwAHByrsPEQLh3h9cEYb7gKebGAAB9hoaZggiDqORgDECBRCI5BhWywgEQ8BjkkwaGSYrc7HFkjIPQVcIwJ26pwSBFEPiMAJJ2qQiAeGRDwEeB7QixYIvAblFhFMdsCg863KMgNMlRo4ZB5JcTYIHIMsAUziwCQejooC2BtYvOHcDHrdiPqHvfxYbRch5jgqRTApC4yTIYcZhY3J5FIaC6hVDQGOAxhzIE4jgTENzFYtGJNg0NpV5zEGlFr0kGTAqK+AyMlg/7zPTObBmADJZoLEN6xgL6mJdaBrTxAhIlmLa7sIMUey6cBYBpgsgXHhiTFj0QnB2lBG1OFCIh4CkgTwggGCRkSiBuAFDmarAbzAlKl1mQEmMwcZQEoCg0ZUO4PLPMBzHHTJbaBvYH7ifx7cWNtFIIiQ6XNZ59ouQsyxmgFe1IAXGYQwvWmkKMw00nR6YEjEI8Al3Gar82WJ0zGvNXCCIAiCqClIZiLEXcjNVg4cx0jACYIgogCNxANDUhMF4nRMGY1rBJCAEwRBRAES8cCQpVGEuNzIOI5BKzLYHBzMlobx8hAEQRC1C40ZI8CXH7jZUrVGHmxAGIIgCMIbGokHhkQ8FDiAMRmMSU4BrxAgSQxJ8RJEwelaZtABDDzKLTwYGOJ1avcMxgDGeDBHJWR7w/KjNOgaxo+KOL+Q7ebaLkLMYQ6nK6yzvQvzGizy9o1EPDB1SsS//PJLzJkzB1u3bkVRURG2b9+Orl27Bvzc4sWL8cQTT+Dw4cNo1aoVXnzxRVxxxRXKccYYnnrqKbz77rsoKSlBv379MHv2bLRq1Sqk8gk8wOQKSDag1GKAxBiMugoIsgz3uAZxPMBELcyVOjCHFQatraosEg8maWA17YfVagnp/vWd9vkhBp0niDqAtXhnbRch5litejBHOzBmhxxm0JYoaDgRBHVKxM1mM/r374/rrrsOt99+e1CfWb9+PcaMGYMZM2ZgxIgR+PTTTzFq1Chs27YNHTt2BAC89NJLeP311zFv3jzk5+fjiSeewNChQ7Fr1y7o9fqgyyfJADgDTHYtZADJCRI0gm9n7wQNwFl5mC3x4MQ4ZUTO8QDH8dAZW0FnaFhv+a5Dv9d2EQgiZLr27VDbRYg5ugoenKgHJ2rBh+knzrHIY0zTSDwwdUrEb775ZgDA4cOHg/7Ma6+9hmHDhuGhhx4CADzzzDNYvnw53nzzTcyZMweMMcyaNQtTp07FyJEjAQAff/wxMjMzsWTJEtxwww3BF5AB5VYNGMchOZ5BI1b/difoAQ6A2SqAA494PQPH/fNiinHgNcHf+nygwko2AkT9g9c0sKhMADjROdhwimiY1+AoAUosqPfW6Rs2bMDgwYNV+4YOHYoNGzYAAA4dOoSCggLVOUlJSejdu7dyji+sVitMJpPqT+Y0cDAuJD/weD1D/D8uaGS1ThBEfcFByZrqBfVexAsKCpCZmanal5mZiYKCAuW4a5+/c3wxY8YMJCUlKX9NmjQBwCFRJ4XsB+4u5JVWEnKCIOo+DgkRtVeVtsjlxTUSD/evIVBrIv7JJ58gISFB+Vu7dm1tFcUnU6ZMQWlpqfJ37NgxcMwedo5cl5BX2Djq4RIEUecRBaDCFt4MotnCocJOIh4Lam1N/KqrrkLv3r2V7dzc3LCuk5WVhdOnT6v2nT59GllZWcpx177s7GzVOdVZvut0Ouh0OtU+LsyUfC7i9QySTDnFCYKo+4gCYNCykONemC3OENQGDTV0saDWRuKJiYlo2bKl8hcXFxfWdfr06YMVK1ao9i1fvhx9+vQBAOTn5yMrK0t1jslkwqZNm5RzYkmcjiGAPRxBEESdIE4Xmk2PS8DjdQxx2uj5idNI3D91yjq9qKgIR48excmTJwEAe/fuBeAcTbtG1Lfccgtyc3MxY8YMAMB9992HgQMH4pVXXsHw4cOxcOFCbNmyBXPnzgXgfAnuv/9+PPvss2jVqpXiYpaTk4NRo0aFVD5BAGSpApI9/JdDlnjwTIC15AAsloaVT7xTc/ITJ+oflnN/1HYRYo7VooPsaAGZSdALMmRRg/JKLWTJBoPW7vMzFTYNKmxaGLQ26AU77A6yTo8FdUrEly5divHjxyvbLvevp556CtOmTQMAHD16FDxfNYHQt29ffPrpp5g6dSoee+wxtGrVCkuWLFF8xAHg4Ycfhtlsxh133IGSkhL0798fy5YtC8lHHHBGW+M4ERwf/gQGxzhwMg9Ba4Sgizzfbn2iqKxh+cUT5weCLqW2ixBzBFkExwngeA4czxCvBzhOgtmmA8cJMOjUU+UVVgEVdhHxOgcMOgDQgOPo9x4L6pSIjxs3DuPGjav2nF9++cVr3+jRozF69Gi/n+E4DtOnT8f06dMjKp8sAxyvBS+E/9g4OIVcNGSjobmfnjjbsDotxPmBJqFJbRch5ogcwAkacAJTgr0kGACO52C26v4R9n/SMFs4VNg5JOgZ4vUaAM4AGJwU+e+dRuKBqVMiThAEQdRdFOF2cz1zrYHXRMInEvHAkIgTBEEQQeMp5DUl4ERwkIgTBEEQdRIaiQeGRJwgCIIIGnc3MgAh+5GHAol4YEjECYIgiKBwF3B30a5JISeqh0Q8BHgeYLINcgRWl0ziwCQejooC2FnDstbOzaDXjah/2MuP1XYRYo6jUgSTssA4GfI/kSorrALMNhHxWgfiNBLkf7zM4jQAkwWUW0Qw2aG4n7Ew85C7QyPxwFCrGgIcBzDmAJPDfzmYzIMxAZLNBIlvWMFeUhPrfb4dogEiWYtruwgxR7LpwFgGmCyBcfI/gVwEGLRWxGnsYB76HKexgzENzFYtGJNg0NrBGAV7iQUk4iEgSQAvGCCEmsbMDZkHZJmDLrkN9A3MT/zPgxtruwgEETJ9Lutc20WIOVYzwIsa8CKDxc6h0sEhIY4hXq8H4DtIVqIG4AUOZqsBvMCgEXxHdiOiC4l4jKm0UhYzgiDqB5VWDhZ78H7g7u5nOiF6WczC/WxDgOY3Q4AhspfCbOFQYeMoAQpBEHUeh+RMRRqqH7iSdjkKqUiB8JOgRMILL7yg5N2o69BIPAQYp4Fd4hBOGg8lPZ+WQSARJwiijuOQnKlIw7E4j9czOBz1M3b65s2b8c4776Bz5/qxjEIj8ZBgKLMKsIdoVK5Kz6cjFwyCIOo+ooCI2qv6mIq0vLwcN954I959912kpNSPxDck4iHAMztEjqGkggtayP35VRIEQdRl6sKyX6xF/O6778bw4cMxePDgGvg2NQNNp4cCByTo7KhwaFFiBpLiJWiqedHNVh5mC4d4vQSDTgZj+OePB3NUQrbXz+mmcJlw6421XQSCCBnZbq7tIsQc5nC6wjLmbLfCuoanH1otYTKZVNs6nQ46nc7rvIULF2Lbtm3YvHlzrIoWFUjEQ0DgAbAKGDUVKJUMKCnnYdRVQCN4v6wVNi0q7DoYNJWI422Q//G2YBIPJmlgNe2H1WqJ7RcgCIIIAqtVD+ZoB8bskMMM2hINDY+GdXqTJupUsk899RSmTZum2nfs2DHcd999WL58OfR63y50dRUS8RCQZIDjDRC0ApI1QGmFgDKb0WtEbrbyqHDwiI+TEa/TAajq9XE8wHE8dMZW0BnqRk+VIAjCHV0FD07UgxO1Sj7xUOFY5L600RDxY8eOwWg0Kvt9jcK3bt2KM2fO4IILLlD2SZKENWvW4M0334TVaoVQRy2SScRDgTkFmOMECByQHA+UmjmUVohINjBoxH/cyKwcEvQM8XoOgLriOe6fF1OMA6+pna9BEARRHZzoaus4hOutxXF1wwbIaDSqRNwXl156Kf7880/VvvHjx6Nt27Z45JFH6qyAAyTiEcFzQFI8Q6mZQ0kFB40A2BxkxEYQBBENYhXsJTExER07dlTti4+PR1pamtf+ugaJeIS4hLzQxMPmALQiCThBEEQ0oIhtgSERjwKV1qqXxS4BdgcQQXh1giAIopb55ZdfarsIQUFSEyGegVxcU+uuNXKCIAgiPGgkHhgK9hIBnoFcXFPrIo+QAsIQBEEQ3sQ62Et9hMaKISAIgCxVQLJz/+TX1cKgtUEv2CG5Zd1L1AKlFj2Ky3kY9RaVH7ks8ZAlAdaSA7BYGlY+cYIg6gdWiw6yowVkJkEK009clsg2KBaQiIcAYwDHiai0a1BhFxGvc8CgAwC1rxgHIMkgwVTJw2Q1ICnOBo3gfKE5xoGTeQhaIwQdDdUJgqh7CLIIjhPA8Rw4Pjwx5rjoxU4P97MNARLxEJBlwOLQwyqJ//iBa+Ap4C54AMkJTj9yk0WvrJFzcAq5aMiGJj6WpScIgggOkQM4QQNOYOEHe5EiH6SQiAeG1sRDgHECKux80H7gtEZOEER9JcxZdCLGkIiHAIMIg0YOyQ/cU8gdJOQEQdQD7BIiaq/sUuQjYTJsCwyJeAhwcISVI9ddyE0Wjnq4BEHUeTjO2V6FM4NodwBl1shDlZKIB4ZEPAQiCeivCDnn7OESBEHUZTSCc2081KVAu8P5GbGOxE4/3yERjyE8ByQaWNgJBQiCIGIF9097FYpNjyLgPJCgj14WMxqJ+4es00OA5wEm2yBHYnUpcxA5Ho6KAtgZLZATBFH3cFSKYFIWwMlI1DOYKjUoNvMqd1lP7BKH0kotRF5Cot4OyUEuZrGARDwEOA5gzAEmh/9yMJkHmADJZoLEU7AXgiDqHpJNB8YywGQJHCfDqLOj1KJHaYXoFcAKAOwSD5NFD4F3wKizgGMAYzSdHgtIxENAkgBeMECIICi6zAM8x0GX3AZ68hMnCKIOYjUDvKgBLzK4UmmnaJxxL8psCarcEHYHUGbjoBGddj8854ydIUVhppFG4oEhEScIgiAC4jLOdU/yBFStgTsFPLr3JBEPDIk4QRAEERTuQl5sdtpFawRWIwJOBAeJOEEQBBE0PAfE6xlKzE7VdmVwrAloJB4YEnGCIAgiaOwOoLSCg/hPYpTSf6bWIzAVqpaGIsbhQn7iBEEQRFC4+4EnJzAkJ1BuiNqGRuKhwAGMyWARRG5jDGCMB3NUQrZT/FWCIOoezMGDMeGf9s65zy4BpWYBgsBgNEhwjY+NBqC0QkCJGUiKl6D5x5qdMfITjwUk4iEg8ACTKyDbw78Gk3gwSQOraT+sVkv0CkcQBBElrFY9mKMdGLNDlmWnH7jVAIGzwaipAByAu0QbNUCpZEBJOQ+jrgIaQUYUNJxEPAhIxENAkgGON4DXhB/Yn+MBMB46YyvoDDQSJwii7qGr4MGJenCiFhKAskoBoggkGSTwXKLPzyRrnCPyMpsRSfFSRLkmiOAhEQ8FBnAcD44LX8QlCbDLHDgxDrwmimUjCIKIEpzobOskiUO5lYMouPzA/bd9AgckxzsDwpRWiDBEoX2jkXhgSMRjiN3hTO2npadOEEQdR5aBchsHrRB8IBd3P/JopiIN97MNAbJODwGZ00AOMxxwVXo+IILZeIIgiJhgl5ypSEMN5FKVdplip8cCGhOGBIdyiwDt/7d39zFy1OcBx7+/edu3u92zCfjiBgcnBBKSgBvAroXUoGLhKghC84aqhJcmpWlkV6VULc4L0KovjkKU0FBDpCYYFZG4JYKAMEGNzGsoJDKYJtTUReYlNMk5uPXt3u3evs08/WNud299d77b2bm927vnI63AuzO3M/PszrMzv9/z+3l09KGeWpaRSQo1f2X8QlRK9S9jYCAdbSAXy8Q7FWnUdVcCTeIdMFKjLoZ80cz71+nUBJ7LCL72ZVNK9QHXDhN5VHGM4qZJfG56O70DBmEw4VMPws4bc91aPz6B69jCSql+sUJyYN/TK/EO2DbYFBn0bArlJMfGAnLJ8owf9tb8ugGDXhmpgw8EvkXg21RGD1Mu63ziSqmlp1JOENTfSSA+fhDt9mHgd98mrlfic9Mk3gERMMbBdS1yVp38hEehkiabqrVdZdd8Q6Hi4dgB2ZTfnF8XwIjBBBa2l8VO6DiFSqmlxw4cjLExlsFY0ZKxMTpiWy9oEu9AEICxPCzbIWHDKgtGSw5jZad5u7xRRubakMuYaXWVhjCRO+m34mYWZz+UUupEHAPGdjG2YEWspjG+XqT0gibxLrgODKWF0VLY2S2TlMnZfbQNXCmluqVX4nPTJN6lRiI/VrQYLYbT82kCV0qp7mkSn5v2TldKKaX6lCbxLjXKyFxbGMoE+DK/8jOllFIn1rgSj/pYCTSJd+H4OnBv8tb6fOvIlVJKzU6T+Ny0TbwDlgUSVAn8OjXfkJ/wcCyfwWQNgnB+XdtANhm+NjoeTCs/E98gvkW9NEJNtPemUmrpqU84iD+MmICAaFcjErG+XHVmySTxWq3Gl770JR5++GFeeeUVcrkcW7Zs4ctf/jJr16494bq7du3illtuYWRkhHPOOYfbbruNjRs3Nl8vl8v8+Z//OXv27KFSqbB161Zuv/121qxZ09E2GgMidao1e3IglzrZRBkjYQ15g2Mgm6hTKCfJl+y2AWEksBCx8asFfEsHe1FKLT1+NYHIyUjgIxHrvUV0sJdeWDJJvFQq8fzzz3PjjTdyzjnncOzYMf70T/+Uyy67jP3798+63r/8y79w/fXX881vfpNNmzZx6623snXrVg4dOsQpp5wCwJ/92Z+xd+9e7r33XnK5HNu3b+cjH/kITz/9dEfb6Pvgk6FUdXCdRhnZzJPm2i7YzmQdedVr9lgPLLCMITF0JkmtE1dKLUGVIliOi+UIdsQ6cT+GO42axOe2ZJJ4Lpfjhz/8Ydtz//iP/8jGjRv5+c9/zrp162Zc72tf+xrXXnstf/AHfwDAN7/5Tfbu3cudd97Jjh07yOfzfPvb3+Y73/kOv/M7vwPA7t27ec973sOzzz7Lb/3Wb817G4VwjtyEM7868OPryHMZbSRXSvWHGC6kVQ8s6Y5t+XweYwxDQ0Mzvl6tVnnuuefYsmVL8znLstiyZQvPPPMMAM899xy1Wq1tmXe/+92sW7euucxMKpUKhUKh7SHGxTGd1YG7x3V20y+GUqof1PzuEnkcHXu1Y9vclmwSL5fL3HDDDfz+7/8+2Wx2xmWOHj2K7/vT2rbXrFnDyMgIACMjI3ieN+2HwNRlZrJz505yuVzzceqppwLCQNLveCCXqYl8rKSJXCm19ImE56soyTgQGC9HvA8/hSbxuS1aEr/nnnsYGBhoPp566qnma7VajU984hOICHfccceibN/nP/958vl88/HGG29gSS3ySGzNRC7hL1yllFrKXBvqEca9CCbXqcvKSKKLbdHaxC+77DI2bdrU/Pdv/MZvAK0E/vrrr/Poo4/OehUO8Ja3vAXbtjly5Ejb80eOHGF4eBiA4eFhqtUqo6OjbVfjU5eZSSKRIJFIRNm1WbkOZJPCRE0/3Eqppc2ywvPVeKXVp2eui5hmAg9gMNH91Yp2bJvboiXxwcFBBgcH255rJPCXX36Zxx57jJNOOumEf8PzPM4991z27dvH5ZdfDkAQBOzbt4/t27cDcO655+K6Lvv27eOjH/0oAIcOHeLnP/85mzdv7myjDYgEiET/cNo2uL6F1CcIalpHqZRaeqQelsLaTkAuDfmizWgRcunZmxMDgXzJxveFXMZH/HhuOa6UZBzVkumdXqvV+NjHPsbzzz/PQw89hO/7zTbr1atX43keABdddBG/93u/10zS119/PVdffTXnnXceGzdu5NZbb6VYLDZ7q+dyOT7zmc9w/fXXs3r1arLZLH/yJ3/C5s2bO+qZDmBbIEGJoBZ9P8W3IHCpFF6mUilH/0NKKbVAKpUkUn8PIjUcO2DQsyhU0oyOBeSSJY7PqyKQL6fxRcgmSthBgF6j9MaSSeK/+MUvePDBBwHYsGFD22uPPfYYF154IQCHDx/m6NGjzdeuuOIK3nzzTW666SZGRkbYsGEDjzzySFtnt69//etYlsVHP/rRtsFeOuUHYKw0lhu9w4axwBiLRPZdJNL6KVdKLT2JkoVxkhjHw7Ih4cKQC/miR6HmtV2RBwKFkk0ADA34uHY4AIbp4o5lg95On9uSSeKnnXbavEb4ee2116Y9t3379uaV+UySySS7du1i165d3WwiSJiAjekiiZvJD6aTwpp5nBillFpUxmmc60zzqttzYCgTzhdRKDnNcS8KJYMfwFBGcJ3WudEYHbGtF5ZMEldKKbW0TR3AanQ8TJK+hM+5mk0WhR52pZRS8+Y6kEsLo8WwQnkoEyxYAtcr8blpEldKKTVvgUCx3EqQxbLB6WAUy05oEp/bkh2xTSml1NIytQ58VSZgVSZoDikdxzCrqnOaxJVSSs1pagJvtIEfPzdE3Ilch12dm95O74BtQ+CX8LsYcS3wLQLfpjJ6mHJZ5xNXSi09lXKCoP5OAvHxg2CyDjyJH1hkk2UsCfAnx8uwIKwjLyc5NhaQS5YxBgJfe6f3gibxDoiAMQ7Gin4Dw0g4qbjtZbET3c+3q5RScbMDB2NsjGUQIxTKLr5Y5NJVXNsG2stsPQtyVp38hEehkiabqmGMjoPRC5rEOxAEYCwPy+7isAnUxeCk34qbiW/blFIqLo4BY7tgCWNlgy+wKiO4zuzzSSRsWGXBaMlhrOyQcrsY2nKSXonPTZN4BwRD3QcTcSAimWxTMgbGJuLdNqWUisvYBNR9KJUNAeFEKJh5zMBoYCAhFMqGWj2+qUijrrsSaBLvQN3KcaxkYyaifTjqPghgGXj6oIvdwWc8CMIvkDHhFIFRP591P3w4dvjohExOoyoSbkPUVoVu96WbfWjodl80Hi0aj9Byikfdh3zJIAKOBceKnW2ECNSD7pO4mpsm8Y5Y+AF4HQ6XKgFUJ3/BOhZgwHWk4y+YU4dC2RD4MJiWjr/cExXDRNWQ9oRUIlqnE8+BsZKh5Ie/zp0OP0H1OoxXDY6BgQj70NiGiYqhFHFfRMJ9qEu0fWjQeLS2QeMRWi7xKJZbCbyTi42pgnkMoz0XvRKfmybxDgmGen3+ibzxqxrCcgzLhKUajh3+yu6Ea4Njh0MeFsvzm9+3oVg2lGuGwaSQSXb35Vo1KOSLhvGKYcie/3CLtTqMVwyeTUfbPhM3LdgWFCsG22Le+9QokwmA1ZnuhorUeLRoPFqWQzyEVgKPuh2OpUm8F7ROvCMBBsEXqM6jz0YQQLUe3kJ3ncmr8C5Fqcsslg3FiiGT6P4EBeGXOpcRHCucDKE2j072tXq4rGN1f4JqyCSFTEIoVkzbCFKzmanOtVsajxaNR2g5xCObEswKyw47d+7k/PPPZ3BwkFNOOYXLL7+cQ4cOLfZmzUmvxDtgANcK8MXCF0O1JrjOzGUUIlCt22ECtwNsI4gAYkBA/AoB0U4YtoFs0pCf8BgdD8imarN+6UsVm2LVIePVSbk+QfezAzYNJqEw4XKsaJFLVXHtmfen5ofb6lg+g8kaBBBX8UnKBQlsxssOEtRJJ2bewUDCba0H4bbaRmI7FhqPFo1HSz/HwwBI2BNdIp6noq42VS+vxJ944gm2bdvG+eefT71e5wtf+AIXX3wxBw8eJJNZuqVEmsQ7YUAIwi+jb+GLBXWDa7d/5USg6k8mcKuObWh9oEVADBLUkS7qKB0D2USdQjlJvmQ3B1iYqlR1KVVt0l6FlFtDYi7bNEA2USNfTpIvOWST5WnHouaHg0DYVp1sooyR8BDEKeXWEHEpVjxEfNJe+22S1kAVkE2WcEwQ+7HQeLRoPEL9HI+6b4F4dJOJIyf/KXqZxB955JG2f991112ccsopPPfcc/z2b/92pG3oBU3iHQgHe7ExloVnhbfUfbHAt5pt5MFkJ7bWLXRn2t9AwHIzkTuMNNgu2M5kXWbVa7sNVywbJuqGgZSQSSaBZHdvdgKr3PA23Fh1oO22aK0OY1UTznqUESyzcBOoD7pg2YZiJY1lt26LBgKFyTbXVQOC6yzcL2qNR4vGo6Uf4xFYhN3rTfSe/ibuX0U9ls/nAVi9evUib8mJrbBWj3h5bnjrrtFGvhBt4HOZqQ0w7ja+uczUBrgQbXxzOb4NcCHaXOei8WjReIQ0HtHFMXZ6oVBoe1Qqcw93HQQB1113HRdccAHve9/7Fno3u6JJvEtTE3mlxwm8YeqJ6mjB6ukJqmHqiepY0eJY0erpCaph6onqaMFalBOUxqNF4xHSeEQTRxI/9dRTyeVyzcfOnTvnfN9t27bx4osvsmfPnoXexa4t0dD1F8cGf7IHqmV6m8AbXCcssalObkfUOtduWCY8SYxODgyRSfb2BNWQmjxJQXhMFuMEpfFo0XiENB6L44033iCbzTb/nUjMPnQswPbt23nooYd48sknedvb3rbQm9c1vRLvUuMWOrRqwOdTfha3YtlQrRs8RzBGFmV+31o9HOXJsQTHEvLzLK+JU+MWoTGC5wjV+vzKa+Km8QhpPFo0Hp2L40o8m822PWZL4iLC9u3buf/++3n00UdZv359L3c1smX+G2xhzdQGHnZ2C//b6chuUR3fxtdob8sXOxvwohvHt/FBeLIYLZme3a6bqY2vWKZ51dGr26caj5DGo0XjEU0ve6dv27aN73znOzzwwAMMDg4yMjICQC6XI5VKRdqGXtAkHoGITNaBm8kELthmcsxkB6gzpY58pj8ASIDEUEtSrFgUy4ZM0iedCOf9dWzIpSFftBktQi7tL+iJquaH72XbQjbt03irbBrypcltyPgdj1DXiUDC9/J9IZfxcewwHukECBbjZQtByCQWtsesxiOk8Wjpy3iICR8m/pK3peqOO+4A4MILL2x7fvfu3VxzzTW936B50iTeAWNAxJ8cC91BkLAOHNrKKV0b8O3JOvIA154ywIIAYhHUiwRdjixRqnqUagnS7gQpq0ow5Ta+DQx6FoVKmtGxgFyyFLlU5ERqfvgetqmSdUtQbx+oIutC3k8zOm6RTZSm1cnGIaxzTeOLkE2UsIOAYMrbpCwQx6M4kUDqFdJeNfZtAI1Hg8ajpV/jEQQ2yMDk/MvR37dbvbwSj+OiajFoEu+ACIjYVANryhX4zIcwvCKXyTpy07oiN0AAlpPBmmUEp/koVixKdYtMKiCTSADT23kSLgy5kC96FGpe7FccNR/GJmwcp3E1MzjjckNueBUwVs3GfsURCBRKNgEwNODj2jPXHQ+4YCoWxXIG46RivwLUeIQ0Hi39HI+EI2Cs6FOxAcbEkxRXyhjoUWkS71Bdwg912AZ+4g+X5zbayA1MTpoiQpjIjRX5l3+xbChVDANJIZM0hNcVs2yDA0OZsD2uUHJiawNsdtJpTtYw+zbYJtyGfNGQLzmxtQGGJyiDH8BQRnDnmBZuIBke+mLFxmDF1gao8QhpPFr6PR5BIM1RXqLn0P68su032ju9I1MT+PzWOH5AmG5FGagiyqQQJxJloIook0KcSNSBKjqdFGIuGo+QxqNlOcSjVDX4MY4jH1UcvdOXO03iHbKNdFwHPjWR17v4cnYz0lRcJ6puRpqK60TV7UhTcSUOjUdI49GyXOKR9oSgy/NVze8+iWoSn5sm8Y4IdsQ5cqcm8ii/cOMYKrLbE1UcQ0V2e6KKa6jIbhOHxiOk8WhZTvFIJcLtj3oHsVoDidojTnVEk3hHurvP1kjkgcBEZf4f8DjHeo56oopzrOeoJ6q4x3qOmjg0HiGNR8tyjIdtR2sKbIyVYWKcxUyvxGenSbzHHCf8kpaq8ztRLcRkDZ2eqBZisoZOT1QLNVlDp4lD4xHSeLQs53g4TmeJvJHAbcOs86d3QpP43LR3egdadeJdlMMI2MaQtKuMT7gEfnXa/L4N4XzHHmmvStKu4cc4nKvFZJ1sOcmxsWDG+ZZh6nzHAYNeGalDnP1dBr1wLuNj49aM8y3D1PmOw2UsCWI9FkkbAsdlfMLTeGg8AI1H4FsQpMHI5LgXFr5YVGvBrLXstcllbBMu4/d6XNsVSpN4JwQMVuTBD0LhyukEOLZPsZrAGJt0ov2rX6rYlGoOmUSddAIg/jFcPQtyVp38hEehkiabqrVdRdR8Q6Hi4dgB2ZS/IPMdG8Ia2sJEOChGLlVt+wUfCBTKLr5Y5NJVXNvmRCVDUWWSYIzGQ+PRspLjYcSEVy3GhInckePGvWhP5LW6hS8Gu7EsBhNDm3gvB3vpV5rEOyAAxmBM9FaIxtfP2AkGPDCWoVhJYKzW7cBi2VCqNepcXRbiBNWQsGGVBaMlh7Fyq062VodC2eDakMuYE9a5dssChgbC24GFcrJ5OzAQGCsafIFVGcF1Tjz7ULcG0hoP0HhMtVLjYSAc7MW06sTbx72wm3NDTL2F7rlT6vJN9wP4aBKfmybxRdY8MU3p6Nbr+Y4bbYCNSSEySZmcbal38x032gAbk0Lk0kKxHH8b31w0HiGNR4vGo6WVyFtt5K0E3pttUO00iS8Bx5+oenmCamicqI4VLUaL4XSJvTpBNTROVKPjhtFieLdjVSbo+XzHGo+QxqNF49EyNZHDwiZwvRKfmyZxpZRSS5Im8blpidkS0FYmE+MQlJ1olMm4tjCUCfAlniEoO9Eok/EFhjIBri2xDEHZKY1HSOPRovFomdoGHueQ0ioaTeKL7Pg617jHkp6P4+tcvZjHkp6P4+tcPSfesaTnS+MR0ni0aDxa2juxxT83xPG0Tnxueju9AwZABJEuKkHFgID4FcYrFsWqQ8ark3J9GtOLp1yQwGa87CBBfVp5TZxqviE/4eFYPoPJGgThfMe2gWwyfG10PJhWXhOnQKAw4VIPLHKpKraR5rEYTIavHSta08pr4laq2BoPNB5TrdR4iG9Awt7uMllT015GFjTnCw+nXQ5fq9akVX4Ww6bo7fS5aRLvhAEhCBNxVCIghlIFKnWbtFch5daQ46oxUm4NEZdixUPEn3XAi260Bqqok02UMULziwngGMgm6hTKSfIle9YBL7rRGqgCsskSjgnajoUBsoka+XKSfMmZdcCLboUDh2g8NB4tKzkeElggHo1MHA7kYpoDuRyfoF3bbw4IQ93g2kEz+auFpUm8AyJgjI2xuqgTF/DrUPZTDKaETDIJJGdcdtAFyzYUK2ksO94eubU6jFUNrtMok5m5e6ntgu1M1slWvVh75AYChaIhAFYNCK6TmXXZVW54O3GsOhB7SU2xbJioGwY0HhqPSSs9HoEFWGGdeK0+9Ra6xWytsJ7VuN1ugW9hW1on3gvaJt5j9Xr45Ux78zvpLEQbYKdjPcc93zJ0PtZz3PMtN3Q69rbGI6TxaFnO8ajXO6sDn9pGrlOR9oYm8Y5096FodAqxTDjV33zFeaKKOllDnCeqqJM1xH2iijp5hsYjpPFoWY7x8P1oA7k0ErlORdobmsQ7YvCDaB/MtrKMCCM0xnGi6na2pThOVN3OthTXiarb2a80HiGNR8tyisdEJdz+qAO5eK5ORdormsQ75Ev4BevE1ATudNFW1c2JKq7pErs5UcU1XWK3J6q4pq/UeIQ0Hi3LJR6lqsHq8nylU5H2hibxjoTZu1Zn3on8+LrKbkU5UcU933GUE1Xc8x1HPVHFPf+0xiOk8WhZDvFIexLpjqHqPe2d3iHHBPhihV8KR7BP8IUPe3U26iqnlKcIIAEi0U5a6QQIFuNlC0HIJGb/RVHzIV+0sW0hm/YxtJfJROXYkEuHf3u0GE6XONvJLxDIl2x8X8hlfBw7nm0wQDYd/u3RIuQyfjj38SyKFYti2ZBJ+qQTQSzbABqPBo1HS7/HI+EI42U7LKtdxEox7Z0+N03iHQin1/XxLJ+q74SJ3Kpjz3A/o+bb+GJN1lX6rbpKAcQiqBcJguiDVKQsEMejOJFA6hXSXnWGbQjnILZNlaxbgnrjXkI8bGDQC99jdCwglyxNq5MN61zT+CJkEyXsICCIuaw460LeTzM6bpFNlGasky1VPUq1BGl3gpRVJYi5rFjj0aLxCPVzPOp1G2QAgiByf95YfohoEp+TJvEOtOrEDZ6Bat1QC1yw2q/I26/ADW2H2QABWE4Gq8s2owEXTMWiWM5gnFTbFUfNh7EJG8dpXAUMdvVes0m4MORCvuhRqHltVxyBQKFkEwBDAz6uPXuda7eG3PCKY6yanXbFUaxYlOoWmVRAJpEAFmYebI1Hi8Yj1K/xsHwTzifexZgYxuhgL72gSTyC8NcheA5U61CrG3DAsY5vA5/+S1CEMJEbK5bRnQaS4Z8rVmwMFpmkUKsTzndsN9r4FrZxy3NgKBO2vRVKDrlM+OUtlAx+AEMZwXUWdhtsE25DvmjIl5xmu2KxbChVDANJIZM0hNdHC0fjEdJ4tPRlPAw0TlDRz1PxdWyLuu5KoEm8C5Y1NZGDb+iqLCOqqfMt1/zwKiOuTjrz1ejMM1oyjI6Hb+pLPJ105qvRmSdfNJMzToV3S3o9/7TGI6TxaNF4RKNJfG6axOep0QnNF8Bvb1OyLagH1mQvVMG2BH+W5m6RsHqyWvMRP74vjmuBbWwmquEHdzBRp74I0wOmXMNYOfw1P5j0kUCoTm+OXOBtgGMlh7oPnh3gWn7Pt0HjMXUbNB4N/RKPWmCQIBzyVSLeFm+c3qJ24AUoFAqLsm4/MdLNEV5B/ud//odTTz11sTdDKaX6yhtvvMHb3va2jtYpl8usX7+ekZGRrt57eHiYV199lWRy5vH3lwNN4vMUBAG//OUvGRwcnPdtmkKhwKmnnsobb7xBNptd4C1c2vRYtOixCOlxaFmOx0JEGBsbY+3atVgROsiVy2WqXd6m8DxvWSdw0Nvp82ZZVse/Jhuy2eyy+WJ2S49Fix6LkB6HluV2LHK5XOR1k8nksk/AcdAR25RSSqk+pUlcKaWU6lOaxBdQIpHg5ptvJpFYmMEs+okeixY9FiE9Di16LFRU2rFNKaWU6lN6Ja6UUkr1KU3iSimlVJ/SJK6UUkr1KU3iHbrvvvu4+OKLOemkkzDG8MILL8xrvXvvvZd3v/vdJJNJ3v/+9/Pwww+3vS4i3HTTTbz1rW8llUqxZcsWXn755QXYg3js2rWL0047jWQyyaZNm/jJT35ywuWX2/43PPnkk1x66aWsXbsWYwzf//7351zn8ccf5wMf+ACJRILTTz+du+66a9oynR7fxbZz507OP/98BgcHOeWUU7j88ss5dOjQnOstx8/FHXfcwdlnn92s+d68eTM/+MEPTrjOcjwOqkdEdeSf//mf5a//+q/ln/7pnwSQAwcOzLnO008/LbZty1e+8hU5ePCgfOlLXxLXdeVnP/tZc5kvf/nLksvl5Pvf/778x3/8h1x22WWyfv16mZiYWMC9iWbPnj3ieZ7ceeed8p//+Z9y7bXXytDQkBw5cmTG5Zfb/k/18MMPyxe/+EW57777BJD777//hMu/8sorkk6n5frrr5eDBw/KbbfdJrZtyyOPPNJcptPjuxRs3bpVdu/eLS+++KK88MIL8qEPfUjWrVsn4+Pjs66zXD8XDz74oOzdu1f++7//Ww4dOiRf+MIXxHVdefHFF2dcfrkeB9UbmsQjevXVV+edxD/xiU/IJZdc0vbcpk2b5LOf/ayIiARBIMPDw3LLLbc0Xx8dHZVEIiHf/e53Y93uOGzcuFG2bdvW/Lfv+7J27VrZuXPnjMsvt/2fzXyS+F/+5V/Ke9/73rbnrrjiCtm6dWvz350e36Xo17/+tQDyxBNPzLrMSvlciIisWrVKvvWtb8342ko6Dip+eju9B5555hm2bNnS9tzWrVt55plnAHj11VcZGRlpWyaXy7Fp06bmMktFtVrlueeea9tWy7LYsmXLrNu6nPa/W3MdiyjHdynK5/MArF69etZlVsLnwvd99uzZQ7FYZPPmzTMusxKOg1o4OnZ6D4yMjLBmzZq259asWdOcoafx3xMts1QcPXoU3/dn3Nb/+q//mnGd5bT/3ZrtWBQKBSYmJjh27FjHx3epCYKA6667jgsuuID3ve99sy63nD8XP/vZz9i8eTPlcpmBgQHuv/9+zjrrrBmXXc7HQS08vRI/gXvuuYeBgYHm46mnnlrsTVJqydu2bRsvvvgie/bsWexNWTRnnnkmL7zwAj/+8Y/53Oc+x9VXX83BgwcXe7PUMqRJ/AQuu+wyXnjhhebjvPPOi/R3hoeHOXLkSNtzR44cYXh4uPl647nZllkq3vKWt2Dbdkfbupz2v1uzHYtsNksqlYp0fJeS7du389BDD/HYY4/NOevfcv5ceJ7H6aefzrnnnsvOnTs555xz+Id/+IcZl13Ox0EtPE3iJzA4OMjpp5/efKRSqUh/Z/Pmzezbt6/tuR/+8IfNNrL169czPDzctkyhUODHP/7xrO1oi8XzPM4999y2bQ2CgH379s26rctp/7s117GIcnyXAhFh+/bt3H///Tz66KOsX79+znVW0uciCAIqlcqMr62k46AWwGL3rOs3//u//ysHDhyQvXv3CiB79uyRAwcOyK9+9avmMldeeaXs2LGj+e+nn35aHMeRr371q/LSSy/JzTffPGMJydDQkDzwwAPy05/+VD784Q8v2RKSPXv2SCKRkLvuuksOHjwof/RHfyRDQ0MyMjIiIst//6caGxuTAwcOyIEDBwSQr33ta3LgwAF5/fXXRURkx44dcuWVVzaXb5SY/cVf/IW89NJLsmvXrhlLzE50fJeiz33uc5LL5eTxxx+XX/3qV81HqVRqLrNSPhc7duyQJ554Ql599VX56U9/Kjt27BBjjPzbv/2biKyc46B6Q5N4h3bv3i3AtMfNN9/cXOaDH/ygXH311W3r/eu//qucccYZ4nmevPe975W9e/e2vR4Egdx4442yZs0aSSQSctFFF8mhQ4d6sEfR3HbbbbJu3TrxPE82btwozz77bPO1lbD/DY899tiMn4fG/l999dXywQ9+cNo6GzZsEM/z5B3veIfs3r172t890fFdimY6BkDbvq2Uz8WnP/1pefvb3y6e58nJJ58sF110UTOBi6yc46B6Q2cxU0oppfqUtokrpZRSfUqTuFJKKdWnNIkrpZRSfUqTuFJKKdWnNIkrpZRSfUqTuFJKKdWnNIkrpZRSfUqTuFJKKdWnNIkr1Qe+/e1vc/HFFy/4+zzyyCNs2LCBIAgW/L2UUt3TJK7UElcul7nxxhu5+eabF/y9fvd3fxfXdbnnnnsW/L2UUt3TJK7UEve9732PbDbLBRdc0JP3u+aaa/jGN77Rk/dSSnVHk7hSPfLmm28yPDzM3//93zef+/d//3c8z5s2FeVUe/bs4dJLL2177sILL+S6665re+7yyy/nmmuuaf77tNNO42//9m+56qqrGBgY4O1vfzsPPvggb775Jh/+8IcZGBjg7LPPZv/+/W1/59JLL2X//v0cPnw4+s4qpXpCk7hSPXLyySdz55138ld/9Vfs37+fsbExrrzySrZv385FF10063o/+tGPOO+88yK959e//nUuuOACDhw4wCWXXMKVV17JVVddxac+9Smef/553vnOd3LVVVcxdR6kdevWsWbNGp566qlI76mU6h1N4kr10Ic+9CGuvfZaPvnJT/LHf/zHZDIZdu7cOevyo6Oj5PN51q5dG/n9PvvZz/Kud72Lm266iUKhwPnnn8/HP/5xzjjjDG644QZeeukljhw50rbe2rVref311yO9p1KqdzSJK9VjX/3qV6nX69x7773cc889JBKJWZedmJgAIJlMRnqvs88+u/n/a9asAeD973//tOd+/etft62XSqUolUqR3lMp1TuaxJXqscOHD/PLX/6SIAh47bXXTrjsSSedhDGGY8eOzfl3fd+f9pzrus3/N8bM+tzxJWX/93//x8knnzzneyqlFpcmcaV6qFqt8qlPfYorrriCv/mbv+EP//APp10FT+V5HmeddRYHDx6c9trxt8BfeeWVWLaxXC5z+PBhfvM3fzOWv6eUWjiaxJXqoS9+8Yvk83m+8Y1vcMMNN3DGGWfw6U9/+oTrbN26lR/96EfTnn/ggQe47777OHz4MH/3d3/HwYMHef311/nFL37R1TY+++yzJBIJNm/e3NXfUUotPE3iSvXI448/zq233srdd99NNpvFsizuvvtunnrqKe64445Z1/vMZz7Dww8/TD6fb3v+kksu4Stf+QpnnXUWTz75JLfffjs/+clPuPvuu7vazu9+97t88pOfJJ1Od/V3lFILz8jU2hKl1JL08Y9/nA984AN8/vOfB8I68Q0bNnDrrbfG+j5Hjx7lzDPPZP/+/axfvz7Wv62Uip9eiSvVB2655RYGBgYW/H1ee+01br/9dk3gSvUJvRJXqg8t1JW4Uqq/aBJXSiml+pTeTldKKaX6lCZxpZRSqk9pEldKKaX6lCZxpZRSqk9pEldKKaX6lCZxpZRSqk9pEldKKaX6lCZxpZRSqk9pEldKKaX61P8DrUeggqMXlioAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 21\n",
      "FOM = 4.570e-01\n",
      "---------------\n",
      "Iteration: 22\n",
      "FOM = 4.589e-01\n",
      "---------------\n",
      "Iteration: 23\n",
      "FOM = 4.605e-01\n",
      "---------------\n",
      "Iteration: 24\n",
      "FOM = 4.618e-01\n",
      "---------------\n",
      "Iteration: 25\n",
      "FOM = 4.628e-01\n",
      "---------------\n"
     ]
    }
   ],
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the figure of merit has increased significantly during the optimization. It's already quite close to the upper limit of 0.5."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T13:46:49.869130Z",
     "start_time": "2026-01-29T13:46:49.781854Z"
    }
   },
   "source": [
    "plt.plot(fom_history, c=\"red\", linewidth=2)\n",
    "plt.xlabel(\"Iterations\")\n",
    "plt.ylabel(\"Figure of merit\")\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 12
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Optimization Stage 2\n",
    "\n",
    "Next we move on to the second stage of the optimization. In this stage, we want to encourage binarization. That is, pushing the design parameters to either the permittivity of air or silicon. This is done by applying an additional bias in the design parameter update:\n",
    "\n",
    "$$\n",
    "\\varepsilon_r^{\\text{biased}}(p) = (1 + m)\\cdot\\left[\\varepsilon_r^{\\text{new}}(p)-6.5\\right] + 6.5,\n",
    "$$\n",
    "\n",
    "where $m$ is a hyperparameter that controls the strength of the biasing. We set it to 0.05 in this case. This biasing will gradually encourage the permittivity value to become closer to 1 if it's below 6.5 and to 12 if it's above.\n",
    "\n",
    "During the optimization, we can calculate the mean square error to quantify binarization:\n",
    "\n",
    "$$\n",
    "\\sigma = \\frac{1}{M}\\sum_{n=1}^{M}\\rho_n,\\quad\n",
    "\\rho_n = \n",
    "\\begin{cases}\n",
    "|\\varepsilon_r(n)-1|^2, & 1 \\leq \\varepsilon_r(n) < 6.5\\\\[6pt]\n",
    "|\\varepsilon_r(n)-12|^2, & 6.5 \\leq \\varepsilon_r(n) \\leq 12\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "As the iterations progress, the mean square error should decrease. Ideally at the same time the figure of merit does not decrease noticeably at the same time."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:32:57.055489Z",
     "start_time": "2026-01-29T13:46:49.876528Z"
    }
   },
   "source": [
    "n_iter = 25  # number of iterations\n",
    "\n",
    "mse_history = []\n",
    "\n",
    "for i in range(n_iter):\n",
    "    if i % 5 == 0:\n",
    "        make_sim(design_params).plot_eps(z=h_si / 2)\n",
    "        plt.show()\n",
    "\n",
    "    val, grad = grad_fn(design_params)\n",
    "\n",
    "    # calculate the mean square error for binarization\n",
    "    mse = np.sum(\n",
    "        np.where(\n",
    "            design_params < (eps_si + eps_air) / 2,\n",
    "            (design_params - eps_air) ** 2,\n",
    "            (design_params - eps_si) ** 2,\n",
    "        )\n",
    "    ) / len(design_params)\n",
    "\n",
    "    print(f\"Iteration: {i + 1}\")\n",
    "    print(f\"FOM = {val:.3e}\")\n",
    "    print(f\"MSE = {mse:.3e}\")\n",
    "\n",
    "    fom_history.append(val)\n",
    "    params_history.append(design_params)\n",
    "    mse_history.append(mse)\n",
    "\n",
    "    delta = 1 / np.max(grad)\n",
    "    design_params = design_params + delta * grad\n",
    "\n",
    "    # apply binarization bias\n",
    "    m = 0.05\n",
    "    design_params = (1 + m) * (design_params - (eps_si + eps_air) / 2) + (eps_si + eps_air) / 2\n",
    "\n",
    "    anp.clip(design_params, eps_air, eps_si, out=design_params)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 1\n",
      "FOM = 4.638e-01\n",
      "MSE = 6.909e+00\n",
      "Iteration: 2\n",
      "FOM = 4.650e-01\n",
      "MSE = 6.395e+00\n",
      "Iteration: 3\n",
      "FOM = 4.663e-01\n",
      "MSE = 6.016e+00\n",
      "Iteration: 4\n",
      "FOM = 4.672e-01\n",
      "MSE = 5.628e+00\n",
      "Iteration: 5\n",
      "FOM = 4.681e-01\n",
      "MSE = 5.307e+00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 6\n",
      "FOM = 4.687e-01\n",
      "MSE = 5.003e+00\n",
      "Iteration: 7\n",
      "FOM = 4.693e-01\n",
      "MSE = 4.747e+00\n",
      "Iteration: 8\n",
      "FOM = 4.699e-01\n",
      "MSE = 4.450e+00\n",
      "Iteration: 9\n",
      "FOM = 4.705e-01\n",
      "MSE = 4.189e+00\n",
      "Iteration: 10\n",
      "FOM = 4.709e-01\n",
      "MSE = 3.921e+00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 11\n",
      "FOM = 4.713e-01\n",
      "MSE = 3.720e+00\n",
      "Iteration: 12\n",
      "FOM = 4.716e-01\n",
      "MSE = 3.484e+00\n",
      "Iteration: 13\n",
      "FOM = 4.719e-01\n",
      "MSE = 3.326e+00\n",
      "Iteration: 14\n",
      "FOM = 4.719e-01\n",
      "MSE = 3.133e+00\n",
      "Iteration: 15\n",
      "FOM = 4.718e-01\n",
      "MSE = 3.032e+00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 16\n",
      "FOM = 4.716e-01\n",
      "MSE = 2.855e+00\n",
      "Iteration: 17\n",
      "FOM = 4.708e-01\n",
      "MSE = 2.814e+00\n",
      "Iteration: 18\n",
      "FOM = 4.707e-01\n",
      "MSE = 2.617e+00\n",
      "Iteration: 19\n",
      "FOM = 4.714e-01\n",
      "MSE = 2.595e+00\n",
      "Iteration: 20\n",
      "FOM = 4.709e-01\n",
      "MSE = 2.447e+00\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 21\n",
      "FOM = 4.717e-01\n",
      "MSE = 2.421e+00\n",
      "Iteration: 22\n",
      "FOM = 4.711e-01\n",
      "MSE = 2.313e+00\n",
      "Iteration: 23\n",
      "FOM = 4.720e-01\n",
      "MSE = 2.288e+00\n",
      "Iteration: 24\n",
      "FOM = 4.714e-01\n",
      "MSE = 2.210e+00\n",
      "Iteration: 25\n",
      "FOM = 4.721e-01\n",
      "MSE = 2.199e+00\n"
     ]
    }
   ],
   "execution_count": 13
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:32:57.113778Z",
     "start_time": "2026-01-29T15:32:57.109479Z"
    }
   },
   "source": [
    "params_history.append(design_params)"
   ],
   "outputs": [],
   "execution_count": 14
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the decrease of the mean square error."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:32:57.230689Z",
     "start_time": "2026-01-29T15:32:57.155709Z"
    }
   },
   "source": [
    "plt.plot(mse_history, c=\"blue\", linewidth=2)\n",
    "plt.xlabel(\"Iterations\")\n",
    "plt.ylabel(\"Mean square error of binarization\")\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 15
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At the same time, we plot the entire figure of merit history to see if it degrades during the digitization process. In this case, no degradation is observed. "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:32:57.304356Z",
     "start_time": "2026-01-29T15:32:57.237188Z"
    }
   },
   "source": [
    "plt.plot(fom_history, c=\"red\", linewidth=2)\n",
    "plt.xlabel(\"Iterations\")\n",
    "plt.ylabel(\"Figure of merit\")\n",
    "plt.axvline(x=25, color=\"black\", linestyle=\"--\")\n",
    "plt.text(12, 0.3, \"Stage 1\", fontsize=12, horizontalalignment=\"center\")\n",
    "plt.text(38, 0.3, \"Stage 2\", fontsize=12, horizontalalignment=\"center\")\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Optimization Stage 3\n",
    "\n",
    "In the last stage of the optimization, we will fully digitize the cylinders. Here we apply a ternary digitization, where if the permittivity of a cylinder is above 9.25, it will become a silicon cylinder. If the permittivity is below 3.75, it will become an air cylinder. If the permittivity is between 3.75 and 9.25, we will replace it with an air cylinder with a smaller radius. This way the final design is fabricable. \n",
    "\n",
    "For the cylinders with a reduced radius, we need to determine the optimal radius value. This can be done by a simple parameter sweep."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:32:57.322898Z",
     "start_time": "2026-01-29T15:32:57.307510Z"
    }
   },
   "source": [
    "def digitize_holes(design_params, r_replace):\n",
    "    \"\"\"\n",
    "    Create a list of cylindrical holes with appropriate radii based on design_params.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    design_params : np.ndarray\n",
    "        1D array of design parameter values.\n",
    "    r_replace : float\n",
    "        Reduced radius used for intermediate holes.\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    holes : list\n",
    "        A list of td.Structure objects corresponding to the holes.\n",
    "    \"\"\"\n",
    "\n",
    "    # digitize the design parameters into three groups\n",
    "    mask = np.digitize(design_params, [3.75, 9.25]).reshape((n, n // 2))\n",
    "\n",
    "    # indices where mask == 0 and mask == 1\n",
    "    coords_0 = np.argwhere(mask == 0)  # these get radius = r\n",
    "    coords_1 = np.argwhere(mask == 1)  # these get radius = r_replace\n",
    "\n",
    "    holes = []\n",
    "\n",
    "    # append holes for mask == 0\n",
    "    for i, j in coords_0:\n",
    "        holes.append(\n",
    "            td.Structure(\n",
    "                geometry=td.Cylinder(\n",
    "                    center=(i * p + p / 2, j * p + p / 2, h_si - h_air / 2),\n",
    "                    radius=r,\n",
    "                    length=h_air,\n",
    "                    axis=2,\n",
    "                ),\n",
    "                medium=air,\n",
    "            )\n",
    "        )\n",
    "\n",
    "    # append holes for mask == 1\n",
    "    for i, j in coords_1:\n",
    "        holes.append(\n",
    "            td.Structure(\n",
    "                geometry=td.Cylinder(\n",
    "                    center=(i * p + p / 2, j * p + p / 2, h_si - h_air / 2),\n",
    "                    radius=r_replace,\n",
    "                    length=h_air,\n",
    "                    axis=2,\n",
    "                ),\n",
    "                medium=air,\n",
    "            )\n",
    "        )\n",
    "\n",
    "    return holes\n",
    "\n",
    "\n",
    "def make_digitized_sim(design_params, r_replace):\n",
    "    \"\"\"\n",
    "    Create a simulation based on design_params and reduced hole radius.\n",
    "    \"\"\"\n",
    "\n",
    "    holes = digitize_holes(design_params, r_replace)\n",
    "\n",
    "    # construct simulation\n",
    "    sim = td.Simulation(\n",
    "        center=(l / 2, 0, 0),\n",
    "        size=(l + 2 * buffer, l + 2 * buffer, h_si + 2 * buffer),\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "        structures=[base_structure, box] + holes,\n",
    "        sources=[mode_source],\n",
    "        monitors=[mode_monitor],\n",
    "        run_time=run_time,\n",
    "        symmetry=(0, -1, 0),\n",
    "    )\n",
    "\n",
    "    return sim"
   ],
   "outputs": [],
   "execution_count": 17
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create an arbitrary simulation to visualize. We can see that cylinders with a high permittivity disappear. Cylinders with a low permittivity become air holes. Cylinders with an intermedium permittivity become smaller holes. "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:32:57.744349Z",
     "start_time": "2026-01-29T15:32:57.365618Z"
    }
   },
   "source": [
    "sim_digitized = make_digitized_sim(design_params, r_replace=0.03)\n",
    "sim_digitized.plot_eps(z=h_si / 2)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 18
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Due to the limitation of fabrication, the smallest achievable hole radius is 30 nm. Therefore, we will look for the optimum hole radius between 30 nm and 45 nm. A parameter sweep is performed."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:34:44.600199Z",
     "start_time": "2026-01-29T15:32:57.752577Z"
    }
   },
   "source": [
    "# list of reduced radii for parameter sweeping\n",
    "r_replace_list = np.arange(0.03, 0.045, 0.002)\n",
    "\n",
    "# perform parameter sweep\n",
    "sims = {\n",
    "    f\"r_replace={1e3 * r_replace:.0f} nm\": make_digitized_sim(design_params, r_replace=r_replace)\n",
    "    for r_replace in r_replace_list\n",
    "}\n",
    "batch = web.Batch(simulations=sims, verbose=True)\n",
    "batch_results = batch.run(path_dir=\"data\")"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "d000553698fa468492eeaab1bf2ac9de"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:33:16 CET\u001B[0m\u001B[2;36m \u001B[0mStarted working on Batch containing \u001B[1;36m8\u001B[0m tasks.                       \n"
      ],
      "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\">16:33:16 CET </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> tasks.                       \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:34:13 CET\u001B[0m\u001B[2;36m \u001B[0mMaximum FlexCredit cost: \u001B[1;36m0.207\u001B[0m for the whole batch.                \n"
      ],
      "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\">16:34:13 CET </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.207</span> for the whole batch.                \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m            \u001B[0m\u001B[2;36m \u001B[0mUse \u001B[32m'Batch.real_cost\u001B[0m\u001B[32m(\u001B[0m\u001B[32m)\u001B[0m\u001B[32m'\u001B[0m to get the billed FlexCredit cost after    \n",
       "\u001B[2;36m             \u001B[0mcompletion.                                                        \n"
      ],
      "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>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "453e068b575648d098908ec0f34df7e0"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:34:41 CET\u001B[0m\u001B[2;36m \u001B[0mBatch complete.                                                    \n"
      ],
      "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\">16:34:41 CET </span>Batch complete.                                                    \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 19
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After the sweep is finished, we can extract the averaged transmission and plot it as a function of reduced hole radius. It turns out that 30 nm is the optimal value as the loss increases with hole radius. "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:34:50.805989Z",
     "start_time": "2026-01-29T15:34:44.692962Z"
    }
   },
   "source": [
    "# extract the fundamental mode transmission power\n",
    "T = np.array(\n",
    "    [\n",
    "        np.sum(\n",
    "            np.abs(\n",
    "                batch_results[f\"r_replace={1e3 * r_replace:.0f} nm\"][\"mode\"]\n",
    "                .amps.sel(mode_index=0, direction=\"+\")\n",
    "                .values\n",
    "            )\n",
    "            ** 2\n",
    "        )\n",
    "        / len(ldas)\n",
    "        for r_replace in r_replace_list\n",
    "    ]\n",
    ")\n",
    "\n",
    "plt.plot(r_replace_list * 1e3, 10 * np.log10(2 * T), c=\"red\", linewidth=2)\n",
    "plt.xlabel(\"Digitized radius (nm)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 20
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For better visualization, we will create a [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) and add it to the simulation with the final optimized design. "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:34:51.009878Z",
     "start_time": "2026-01-29T15:34:50.848808Z"
    }
   },
   "source": [
    "# create a simulation with the optimal reduced hole size\n",
    "sim_opt = make_digitized_sim(design_params, r_replace=0.03)\n",
    "\n",
    "# add a field monitor to visualize field distribution at z=t/2\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, h_si / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")\n",
    "\n",
    "# add the field monitor to the simulation\n",
    "sim_opt = sim_opt.updated_copy(monitors=[field_monitor, mode_monitor])"
   ],
   "outputs": [],
   "execution_count": 21
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the simulation again and plot the field distribution, which shows a nice power splitting."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:35:28.273596Z",
     "start_time": "2026-01-29T15:34:51.029521Z"
    }
   },
   "source": [
    "# run the optimized design again with the field monitor\n",
    "sim_data_opt = web.run(sim_opt, \"optimized\")\n",
    "\n",
    "# plot field distribution at the central wavelength\n",
    "sim_data_opt.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"Hz\", val=\"real\", vmin=-0.4, vmax=0.4\n",
    ")\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:34:51 CET\u001B[0m\u001B[2;36m \u001B[0mCreated task \u001B[32m'optimized'\u001B[0m with resource_id                          \n",
       "\u001B[2;36m             \u001B[0m\u001B[32m'fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4'\u001B[0m and task_type \u001B[32m'FDTD'\u001B[0m.  \n"
      ],
      "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\">16:34:51 CET </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'optimized'</span> with resource_id                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m            \u001B[0m\u001B[2;36m \u001B[0mView task using web UI at                                          \n",
       "\u001B[2;36m             \u001B[0m\u001B]8;id=974144;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[32m'https://tidy3d.simulation.cloud/workbench?\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=766816;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[32mtaskId\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=974144;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[32m=\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=122650;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[32mfdve\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=974144;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[32m-d841bf65-c39\u001B[0m\u001B]8;;\u001B\\\n",
       "\u001B[2;36m             \u001B[0m\u001B]8;id=974144;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[32ma-4f07-9f47-03b2fdc6cae4'\u001B[0m\u001B]8;;\u001B\\.                                         \n"
      ],
      "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-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">a-4f07-9f47-03b2fdc6cae4'</span></a>.                                         \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m            \u001B[0m\u001B[2;36m \u001B[0mTask folder: \u001B]8;id=550142;https://tidy3d.simulation.cloud/folders/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\u001B\\\u001B[32m'default'\u001B[0m\u001B]8;;\u001B\\.                                            \n"
      ],
      "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/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "7128545285154b478e079c9968c52ba7"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:34:58 CET\u001B[0m\u001B[2;36m \u001B[0mEstimated FlexCredit cost: \u001B[1;36m0.025\u001B[0m. Minimum cost depends on task     \n",
       "\u001B[2;36m             \u001B[0mexecution details. Use \u001B[32m'web.real_cost\u001B[0m\u001B[32m(\u001B[0m\u001B[32mtask_id\u001B[0m\u001B[32m)\u001B[0m\u001B[32m'\u001B[0m to get the billed  \n",
       "\u001B[2;36m             \u001B[0mFlexCredit cost after a simulation run.                            \n"
      ],
      "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\">16:34:58 CET </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:01 CET\u001B[0m\u001B[2;36m \u001B[0mstatus = queued                                                    \n"
      ],
      "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\">16:35:01 CET </span>status = queued                                                    \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m            \u001B[0m\u001B[2;36m \u001B[0mTo cancel the simulation, use \u001B[32m'web.abort\u001B[0m\u001B[32m(\u001B[0m\u001B[32mtask_id\u001B[0m\u001B[32m)\u001B[0m\u001B[32m'\u001B[0m or              \n",
       "\u001B[2;36m             \u001B[0m\u001B[32m'web.delete\u001B[0m\u001B[32m(\u001B[0m\u001B[32mtask_id\u001B[0m\u001B[32m)\u001B[0m\u001B[32m'\u001B[0m or abort/delete the task in the web UI.      \n",
       "\u001B[2;36m             \u001B[0mTerminating the Python script will not stop the job running on the \n",
       "\u001B[2;36m             \u001B[0mcloud.                                                             \n"
      ],
      "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>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "ba5acc179d4443eeae7c591b46f396ba"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:05 CET\u001B[0m\u001B[2;36m \u001B[0mstatus = preprocess                                                \n"
      ],
      "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\">16:35:05 CET </span>status = preprocess                                                \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:10 CET\u001B[0m\u001B[2;36m \u001B[0mstarting up solver                                                 \n"
      ],
      "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\">16:35:10 CET </span>starting up solver                                                 \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m            \u001B[0m\u001B[2;36m \u001B[0mrunning solver                                                     \n"
      ],
      "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>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "7091e3b05be344298706f670ec21155f"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:18 CET\u001B[0m\u001B[2;36m \u001B[0mearly shutoff detected at \u001B[1;36m72\u001B[0m%, exiting.                            \n"
      ],
      "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\">16:35:18 CET </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">72</span>%, exiting.                            \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:19 CET\u001B[0m\u001B[2;36m \u001B[0mstatus = postprocess                                               \n"
      ],
      "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\">16:35:19 CET </span>status = postprocess                                               \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "f588f3326ea64750a40412d7f22d523e"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:20 CET\u001B[0m\u001B[2;36m \u001B[0mstatus = success                                                   \n"
      ],
      "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\">16:35:20 CET </span>status = success                                                   \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:22 CET\u001B[0m\u001B[2;36m \u001B[0mView simulation result at                                          \n",
       "\u001B[2;36m             \u001B[0m\u001B]8;id=389111;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[4;34m'https://tidy3d.simulation.cloud/workbench?\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=704677;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[4;34mtaskId\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=389111;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[4;34m=\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=321723;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[4;34mfdve\u001B[0m\u001B]8;;\u001B\\\u001B]8;id=389111;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[4;34m-d841bf65-c39\u001B[0m\u001B]8;;\u001B\\\n",
       "\u001B[2;36m             \u001B[0m\u001B]8;id=389111;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\u001B\\\u001B[4;34ma-4f07-9f47-03b2fdc6cae4'\u001B[0m\u001B]8;;\u001B\\\u001B[4;34m.\u001B[0m                                         \n"
      ],
      "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\">16:35:22 CET </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-d841bf65-c39a-4f07-9f47-03b2fdc6cae4\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">a-4f07-9f47-03b2fdc6cae4'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "Output()"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "c7cc626752db4b5b961c61e06a0c8bd2"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [],
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "\u001B[2;36m16:35:27 CET\u001B[0m\u001B[2;36m \u001B[0mLoading simulation from simulation_data.hdf5                       \n"
      ],
      "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\">16:35:27 CET </span>Loading simulation from simulation_data.hdf5                       \n",
       "</pre>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 22
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally plot the insertion loss spectrum. The optimized design has an insertion loss of ~0.3 dB, similar to the result reported in the [paper](https://doi.org/10.1364/PRJ.383887). Interestingly, the optimized design we obtained here appears to be quite different from that reported in the paper, even though the performance is similar. This showcases the power of inverse design. Since the design parameter space is very large, there likely exist multiple good designs.  "
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-01-29T15:35:28.322049Z",
     "start_time": "2026-01-29T15:35:28.278902Z"
    }
   },
   "source": [
    "# calculate the insertion loss\n",
    "il = 10 * np.log10(\n",
    "    2 * np.abs(sim_data_opt[\"mode\"].amps.sel(mode_index=0, direction=\"+\").values) ** 2\n",
    ")\n",
    "\n",
    "plt.plot(ldas, il, c=\"red\", linewidth=2)\n",
    "plt.ylim(-1, 0)\n",
    "plt.xlabel(\"Wavelength (μm)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "plt.grid()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 23
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Final Remarks\n",
    "\n",
    "In the actual fabrication, the hole radii are likely to deviate slightly from the design, which could lead to significant performance degradation of the device. In this optimization, we did not consider any fabrication robustness. In a subsequent [research paper](https://doi.org/10.1364/OE.544018), the authors incorporated fabrication robustness by including eroded holes and dilated holes in the figure of merit evaluation. The same strategy can be applied here to improve the design's immunity to fabrication variability.  "
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to perform inverse design optimization of a digital power splitter in Tidy3D FDTD.",
  "feature_image": "./img/digital_splitter_invdes.png",
  "features": [
   "Adjoint inverse design",
   "Parameter sweep"
  ],
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "keywords": "inverse design, power splitter, y branch, adjoint optimization, Tidy3D, silicon photonics, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  },
  "title": "Inverse Design of a Digital Power Splitter"
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
