{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Metalens Optimization with FourierFields\n",
    "\n",
    "This tutorial illustates the adjoint solver for DFT fields. Specifically, we use the `FourierFields` adjoint solver to design a metalens that maximizes the average intensity over three frequencies at a spot near the metalens. In a similar [example](https://github.com/NanoComp/meep/blob/master/python/examples/adjoint_optimization/05-Near2Far.ipynb) based on the `Near2FarFields` adjoint solver, the focal spot is far from the metalens. Compared with `Near2FarFields`, the `FourierFields` adjoint solver has some advantages, including higher efficiency for fields at nearby points and greater flexibility for surrounding media (not limited to homogeneous media surrounding far-field regions when `Near2FarFields` is applied). On the other hand, the disadvantage is that `FourierFields` is less efficient for faraway points, which require a large computational cell.\n",
    "\n",
    "At first, let us import `meep`, its adjoint module `meep.adjoint`, and other packages for automatic differentiation, nonlinear optimization, and making figures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import meep as mp\n",
    "import meep.adjoint as mpa\n",
    "import numpy as np\n",
    "from autograd import numpy as npa\n",
    "from autograd import tensor_jacobian_product, grad\n",
    "import nlopt\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.patches import Circle\n",
    "\n",
    "mp.verbosity(0)\n",
    "Si = mp.Medium(index=3.4)\n",
    "Air = mp.Medium(index=1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Basic setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "resolution = 30\n",
    "\n",
    "design_region_width = 4\n",
    "design_region_height = 2\n",
    "pml_size = 1.0\n",
    "\n",
    "Sx = 2 * pml_size + design_region_width\n",
    "Sy = 2 * pml_size + design_region_height + 5\n",
    "cell_size = mp.Vector3(Sx, Sy)\n",
    "\n",
    "wavelengths = np.array([1.5, 1.55, 1.6])\n",
    "frequencies = 1/wavelengths\n",
    "nf = len(frequencies) # number of frequencies\n",
    "\n",
    "minimum_length = 0.09  # minimum length scale (microns)\n",
    "eta_i = 0.5  # blueprint (or intermediate) design field thresholding point (between 0 and 1)\n",
    "eta_e = 0.55  # erosion design field thresholding point (between 0 and 1)\n",
    "eta_d = 1 - eta_e  # dilation design field thresholding point (between 0 and 1)\n",
    "filter_radius = mpa.get_conic_radius_from_eta_e(minimum_length, eta_e)\n",
    "design_region_resolution = int(resolution)\n",
    "\n",
    "pml_layers = [mp.PML(pml_size)]\n",
    "\n",
    "fcen = 1 / 1.55\n",
    "width = 0.2\n",
    "fwidth = width * fcen\n",
    "source_center = [0, -(design_region_height / 2 + 1.5), 0]\n",
    "source_size = mp.Vector3(Sx, 0, 0)\n",
    "src = mp.GaussianSource(frequency=fcen, fwidth=fwidth, is_integrated=True)\n",
    "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n",
    "\n",
    "Nx = int(round(design_region_resolution * design_region_width)) + 1\n",
    "Ny = int(round(design_region_resolution * design_region_height)) + 1\n",
    "\n",
    "design_variables = mp.MaterialGrid(mp.Vector3(Nx, Ny), Air, Si, grid_type=\"U_MEAN\")\n",
    "design_region = mpa.DesignRegion(\n",
    "    design_variables,\n",
    "    volume=mp.Volume(\n",
    "        center=mp.Vector3(),\n",
    "        size=mp.Vector3(design_region_width, design_region_height, 0),\n",
    "    ),\n",
    ")\n",
    "\n",
    "\n",
    "def mapping(x, eta, beta):\n",
    "\n",
    "    # filter\n",
    "    filtered_field = mpa.conic_filter(\n",
    "        x,\n",
    "        filter_radius,\n",
    "        design_region_width,\n",
    "        design_region_height,\n",
    "        design_region_resolution,\n",
    "    )\n",
    "\n",
    "    # projection\n",
    "    projected_field = mpa.tanh_projection(filtered_field, beta, eta)\n",
    "\n",
    "    # interpolate to actual materials\n",
    "    return projected_field.flatten()\n",
    "\n",
    "\n",
    "geometry = [\n",
    "    mp.Block(\n",
    "        center=design_region.center, size=design_region.size, material=design_variables\n",
    "    )\n",
    "]\n",
    "\n",
    "sim = mp.Simulation(\n",
    "    cell_size=cell_size,\n",
    "    boundary_layers=pml_layers,\n",
    "    geometry=geometry,\n",
    "    sources=source,\n",
    "    default_material=Air,\n",
    "    resolution=resolution,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To use the `mpa.FourierFields` adjoint solver, we need to specify the monitor where DFT fields are evaluated. In this example, we try to focus the light at three different frequencies. The objective function is simply the intensity at the focal spot averaged over those frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "monitor_position, monitor_size = mp.Vector3(0,design_region_height/2+1.5), mp.Vector3(0.01,0)\n",
    "FourierFields = mpa.FourierFields(sim,mp.Volume(center=monitor_position,size=monitor_size),mp.Ez,yee_grid=True)\n",
    "ob_list = [FourierFields]\n",
    "\n",
    "def J(fields):\n",
    "    return npa.mean(npa.abs(fields[:,1]) ** 2) # The index 1 corresponds to the point at the center of our monitor.\n",
    "\n",
    "opt = mpa.OptimizationProblem(\n",
    "    simulation=sim,\n",
    "    objective_functions=[J],\n",
    "    objective_arguments=ob_list,\n",
    "    design_regions=[design_region],\n",
    "    frequencies=frequencies,\n",
    "    maximum_run_time=2000,\n",
    ")\n",
    "opt.plot2D(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To apply `nlopt` for nonlinear optimization, the following function is defined. This function also illustrates the structure in the design region during optimization and records the evaluation history of the objective function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluation_history = []\n",
    "cur_iter = [0]\n",
    "\n",
    "def f(v, gradient, beta):\n",
    "    print(\"Current iteration: {}\".format(cur_iter[0] + 1))\n",
    "\n",
    "    f0, dJ_du = opt([mapping(v, eta_i, beta)])  # compute objective and gradient\n",
    "\n",
    "    if gradient.size > 0:\n",
    "        gradient[:] = tensor_jacobian_product(mapping, 0)(\n",
    "            v, eta_i, beta, np.sum(dJ_du, axis=1)\n",
    "        )  # backprop\n",
    "\n",
    "    evaluation_history.append(np.real(f0))\n",
    "\n",
    "    plt.figure()\n",
    "    ax = plt.gca()\n",
    "    opt.plot2D(\n",
    "        False,\n",
    "        ax=ax,\n",
    "        plot_sources_flag=False,\n",
    "        plot_monitors_flag=False,\n",
    "        plot_boundaries_flag=False,\n",
    "    )\n",
    "    circ = Circle((2, 2), minimum_length / 2)\n",
    "    ax.add_patch(circ)\n",
    "    ax.axis(\"off\")\n",
    "    plt.show()\n",
    "\n",
    "    cur_iter[0] = cur_iter[0] + 1\n",
    "\n",
    "    return np.real(f0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The optimizer runs in multiple loops with increasing beta, which gradually turns on the thresholding. When beta changes, the cost function also changes, which requires the optimizer to be reset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 1\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mawc/install/envs/mp/lib/python3.10/site-packages/meep/adjoint/filter_source.py:152: RuntimeWarning: invalid value encountered in true_divide\n",
      "  l2_err = np.sum(np.abs(H - H_hat.T)**2 / np.abs(H)**2)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 2\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 3\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 4\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 5\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 6\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 7\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 8\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 9\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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yWyslmnzFFA+rwWJEZ7FFZsG0zllVq2tgN4Kjbd0riDJaAYn6rGwp8Zq6KupX4jO4JgyST51q0Y5viY+FwztX7qULWgJUXxHl89SrHc/BDYSCz7S2PfGmgdYvBbHFbt17i7qr33gvyma/E/VCu6oIefrFVisn9m8m7brbTTSckEVDbU1FVe3ojzsHHQMfEOUyvJrBv30Gf0otHbb966YAFh1+Tw0/mYDPsv96ry46EO5dp76O5yxcnAuJcw2OXNi/mRS5sNaPq/DGUKxfQqBbPl4rgmQ4NcHnZktVVau76fhcrd0oeH23262Eh18K4jJVKLx6orlOtnr8v/q07BrA0uq32Ku/Os/z5/5aXKwm4Bum0FEciap/1crxsXXSQEQ7koXb9/1KKPz1atM01cvLy6tOO5/Pm18ny4MIP6yHn2VAmafT6dVab9VtitVt+q17OFpBA97HQMJMwj+SuPV1ui6s4jscDst0wI2GTkHD82qBbrtnwemdcOo78j44TLVb4sP9DZrWaa2isH8F4Wm5KItXOlpfnauuBvvC7Brw2rIGHvxTXSw+FpumhRzYp12ID53EN8JwghbTLjvaVest9KfTaem41lonT6EoFxaKf3IU557neflNNVglTY20VjV4On98fFxufof7wALjMlv+HfujPEA5DaRpFf2+QrWiXF8nNvF1XVc//PDD0tF8JxZbNI5QtxKkLEDe51e1tpB6fo5OeVkPUy3/jGrrG+sBv6aBB/uxHLHzt7K26sYWrbX8uCWc1rKetifa6V4w9x50W+mK/+Df+hD+39lUt/9L2sKnJeILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmAj4gs2Ir5gI+ILNiK+YCPiCzYivmBjeOP97l1qET4lsXzBRsQXbER8wUbEF2xEfMFGxBds/BtvAGqq6FpLmQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 10\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 11\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 12\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 13\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 14\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 15\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 16\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 17\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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0o+u/zOg1NnzXKxy0DvxdLUu8T1bdUi2+ixlfdFfqsmMMR9HTcgHrrJvniysT/L+2XdsSP4FALRDPy3bURKbhSLzGWB/UzD1OJrZdY0UeL5Ovwu3WRKexkg4AgBcdrg8V3qM6nL6PgtGCa6z3xec4gJrtaj1Qa4r6iaQxs44xZOyTeB2x1KSTSY/B2iBLS7R6cfnxXScc0Z3pR4FpmUKzS43Tojg0y1TLUhtkvgdAVYDRqnCJKoYJ8XU8nq5H6wdxq/BqomG7tBwSBcjXqttVMesxNDxomvsuoC9VBt6Cr6LIXIv12JkxCI+uN9audCUilhNiPKUiUAGqoOiaVPDR9fF4MXGKIowWT0VbK7bH1RkVX4zt2NZYV9TjPXK/WaSLj9SC+VjbiolGzQKqWIi+Vrc56YDFGC4ONoCy8eARm819w6geJ7pYFVwsGKtFUsus67O0dtG6x1hZr2Ecxxc3oL9r8ZFYX9OO1tJK3LFCosVQ16v1vdr56O418+N7NV7UtqiL5fHYdj2+noPt1M0PtfperV/UgmsxW3dMa5yoO4DU/aoL/xpIz3ajy1V3C9xdk25z0gGIrjX+DdQ/40TFvizLKt5k1tt1XRF+Ld7SsoWeW0ssWuej9dbP2tM6Yi1BiteohW1tg9YmH4UfFH/c7ZJFep0PwOozUnSvnbpKWou41T66NWC90qD716LVYkzEgdPj8X+6glCzOmrhuFuFD35NVYwbVYBa74uWP1o9nZBxdUevJV6jhhTTNJXtWdkWMP2TSfkz3kSjwT7RhAGouyU+r3W+eCyKiNkkjxN3vMQ4C/g8YXT/HnBfRmvbtnzfh37vB9sTSyP6t9YIY4IR+yGulujvMWHhROL7NHF715aPwbl+mR07CFjfu6vlGBVMLFvoAKhr5nnoQnl8Wlt+xJp+SYxusaI7jR91xuPwWMMwlO9Fi9+NRhFyl7FaH409dad0rcbHa9S4Vl22PrTWFysF79ry0dXFb1Fk52rNj6+NBeIYzMeOpRD1VkctmfBj1SgW/WJB3uWl4ovlnVir1K/b4ucFUny0QOouNWPVDxri8fXYr5Vq2C+6mqK3VrIN7CcuCWbyVYhPO4qzmTUpzlxg/WUqMZCf53mVlMSAHfg8WPG+XX5vBx8UH5MOtZJ603esH1LMTDT0WyHZRl0upJgZO8YkIJaP9H4WipD9FG++it8uqX3FSR13OWeQvrwWyyxq1dhJ6p4oRi2PMBnZbDblWx/1HNrRGr+ppVLx0aJpQZbH4fvYbnVlbB9jWP2gSh5PrRQ/oFyPyTbqJwqwL2hNa9ceP5kgPtivWufMJk18TdPgxx9/BIDqDTX6cWQqAHU9OgCMpeLnk9QSEg3K1TXp/a90T/Hjavm+R3FmPGY8nn6zZTymti9OEvUOWkpRV6qJFCepWjm6aWba8bxvTfOF9b3cxT/z/8BDdefbXvNusfhMGhafScPiM2lYfCYNi8+kYfGZNCw+k4bFZ9Kw+EwaFp9Jw+IzaVh8Jg2Lz6Rh8Zk0LD6ThsVn0rD4TBoWn0nD4jNpWHwmDYvPpGHxmTQsPpOGxWfSsPhMGhafScPiM2lYfCYNi8+kYfGZNCw+k4bFZ9Kw+EwaFp9Jw+IzaVh8Jg2Lz6Rh8Zk0LD6ThsVn0rD4TBoWn0nD4jNpWHwmDYvPpGHxmTQsPpOGxWfSsPhMGhafScPiM2lYfCYNi8+kYfGZNCw+k4bFZ9Kw+EwaFp9Jw+IzaVh8Jg2Lz6Rh8Zk0LD6ThsVn0rD4TBoWn0nD4jNpWHwmDYvPpGHxmTQsPpOGxWfSsPhMGhafScPiM2lYfCYNi8+kYfGZNCw+k4bFZ9Kw+EwaFp9JY/eF/zdv0grzLrHlM2lYfCYNi8+kYfGZNCw+k4bFZ9L4D2zt5f2U5ekiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 18\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 19\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 20\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 21\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 22\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 23\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 24\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 25\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 26\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 27\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 28\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 29\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 30\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 31\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 32\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 33\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 34\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 35\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 36\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 37\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 38\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 39\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 40\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 41\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 42\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 43\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 44\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 45\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 46\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 47\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 48\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 49\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 50\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 51\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 52\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 53\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 54\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 55\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 56\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 57\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 58\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 59\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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9zWazJD4qBd1uN72oD5LhUxkglqUU9e7FR7aX53nqYDBKRAmFi0a8ZpvqCJDfp310OBySaHGJzWZT/X5feZ6nZAXLYltqrVYruTwsHecpvSVAZOZYOayytdwItFqtFlpmWFQ77sW6DHqwJDW01xj7Wq1W6YFC0CQojGjhnilPHY/H1IojVOD8PXEVnx2upHNhx9+xflgnYkTbROff25VmklKWiygQH8dqt9tJfNJbfYystByfgbUYNlOViqUT+3eIH7GQmCA+3KYVHw8lHoH1JDyYDGTYJINjEybwQGOJKVD/s+AqvslkkorItl8rfY3ryHJJGrB+dqFMrVZL8Q8X3SYS3HRuPILimNa6SW+tK9uCIhtFnFak31tny/Hs72Md+T0eJtylHVyw7ptiux3b4sXaZrowlJZsuw3xSio8FIQ7nm02V/E9Pz+nqv5qtUotMy6ezQSpoWEZCPSr1ao2m00KrHGrZYtkV54hQv4NNxs3x7FwmXQMEBCBO64VsdrRL9u6I9jnd+1n4kX3AjEzfWO7HoQLlFZw14gPl8u8YHlFm/28dFQ8cRXfw8NDyiKJU7jAxHqMR1m3gitFQOfzuTAaZW8+IiIZsT1UbjZxpG272fIJLSoEiPhs2wrBciw7LWOnovlMfMbvTfQgIB5I3CXuu9Vqqd/vp5lFitF8Nhaz2/Uc1iJTISBE8cJVfC8vL+mJJpvkRtBiIhYaDAYpkyNYZqLYJiLccOIjXBxWh2lk/n15NJ4RLevusVySCu6TOp3digPxMzFjA3xb9rHCJqEiWcIqMURhZ/14aHgoWZvSbrcLC4aWy2Wh2GxbbnxuHkgvXHu7ZGJgF+zgluwWEYhP+lp+ICmxkzCUUVh2SPdB0jdDlcSI2+1W0tsAKxYY987NLg8V2FqfnbljjbE9jl0sTs3RrlEurwexoQjio0huR+FbrVYqn/Bg5Hle2N+GB4zwALhWXrhaPqyE7UZwoaS3aRPbneAmczNt3EX9D+zkChkuT7tdk0FBlxjI9n3pmxLPcc52VKn8Mztmj3j5PLhMFqCzgk9ScvvlQnf5M9l4GPdqY+Hv9Xdt0bycpXvh3tu1maGkNO9mhWOzRZs8lMeUsEz8nZ23o45H/c+O3lOWwNIgaFvvs1aRm4q1ss1+/h0CkvTNgqThcJg2ROr3+6nrQX0PsdopFenbcS6uic2+eYAlJcFxflg6O3Hjift2GVgtRLjb7dRsNtOKLTI9WmaSvrlotpxB4M7f2VIJrpw+qqRUjO31eprP52o0GmkNsHWpWDWsHvU2Oy5l24PWktvJHKai2QyJ8S8sp111Zj+XpIKwuA5lgdolpvZl1yKTbdMF8sJVfP1+Pz3t1goShy0WixR0E7dhGRGs9DZJbJvltolub1C5docwuBkkJbY7UZ7Nw0pZ91g+NkkGbtv2VfmzvH+fPceydZNUSHSk4gJ2rDRZMteOhxdx2lix3+//djf7O7iuXru+vlaWZSnWIkCXlOIw1m3Qh8VKlKc7EE150U15Dq/ZbKaba4cFJBXqbzYOZdLaZrg2ObJhAeeJ6ybZIFOVVHDVCNBONJO125k/W2i35ROydDJrFlmxX42NeW2bkT63J66W7/r6OlmEWq1W6OsistVqlcR3uVwK+5RggRAfFhBrxI1hDo92Gy7X7grAzWXdLCLFgiFKu8QT9yup4Ppwx4iP7JZzJKsly5aUykbsHErdsryACIspve3WhfCPx2NabGUL9nbuz24d8m4tnySNRqPClDIXjFEjEgNqXmRydBPsTBtWwW55YXujvMhwqakhaGbiWMhddqW2s2Hdpp1cQcBli4WrZS0G8aR1lyyE52UfDEmFkID3JlnivYhfuY58Ft6Ph8uuR/bEfd0uN59gvCwInmhWeTEehAvmpm6328I2GwjQrmMtr+oi4bHutdfrpZiS3+Xf2PaYbbdJxW12rRBtcG8TDjaK5DPZFp99bz4vLr28swOlHmtNmWJhIRMPB4kWK/HebZFZUmHOjFiJF1kZgsKNchFt+YRsc7VaqdlspszOdk4QGDeATM+O4He73ULcxZ9YIARC819SIb7k72xx247F2/exK+LIom0iYXvPCJjFTXY3L6lYHMdSsvtXt9stuG27jNN7wsV9pApXipWwtTvpretBGcJmttw8nn5iO+t6yzVEuzDcdkfYdmK1WiVXyM2022mQCfPglOt8doiAAN8uPLfCsSP4dvmjnYixJSLW7tqNizgXO2bG+yJOm/lbob7rLdLm83mK2bAKdn1s2V1+r3Bst34lubCDmFxw60qlt6FQSiFkogxv2hYX/VXER8cF62F3iuJ4jD+RwFjx2LiPwq9dSsB5S8WuCEkC26pxvlhpu+GRjYXtoKvd++bdWz56ldb9SiosurHbwtrhAayM3XCHoN5uJ0bJxm7IjTWwAwO2o8HvsEsC4ivX6WzritiqLD6spi2C21F3ppTLuylwfuXPxoNCMmY3L7fDsnYDJj6jjQ+9dy1wH6O30x1cMJ56murMtJ3PZzUajYJbZZQIS2hXgElvu0PxsoumR6NRwf3ikuyIl+0Q2EkXBGx/z65mq9frhS3c7A4FWPPNZqPpdKqXl5f0NQ5s4UYmbJeH2iTjeDymtSvU9exOB4zN27plrVbTfr8vrO7zxFV8PM3sjdLv99NIEDeShTR8J0W9Xi+0iogZrTDs8shyf9N+1QEbauMayxM2tphsOxBYLYRga3zl4rNth2GFz+e3vQKfn5/TF7NQGObY7DnD57HZLRuJszWwvT6n0ymtGaEawNoRaqRsu+aJq/jYlZ0mO5vj0A6iJocA6QgQW9kbghDLkzBYGXqvdk8UG1OyMwCrwdi7mHOpVquFbBIx2hgUK2W/V4Rugl1Nt9ls0u73j4+Pafd6a11JNOyEiu0xY/XYOJI9pvncDOWyzoMR+3Js64l7h6PX6+nm5ib9N9bucrlouVwW9idhXo7mPxmbbV0xe9ftdguZJDfW7oDFwh3iJDu6xX9TGpnNZikMsKKT3qZuyKKHw2H6tqDxeJzW0zJrx8OABab/KqkQgpAhl68BoYNNdGzmSgzMAAMbJxG2IGLvDSLd3S5WhhICrlL6GvOxppWyjPT25TG2pYYAqP0Rd3U6ncKIPDeg/DUMrADD/fJAjMfj9MUw8/k8rRex3Q+sHpPXfOHL7e3tNwu5iefs+g0W/3D+/L3dpYqf2z6yzbyJgQlfyl8nZpd64kn4fy/c5/nsBSdQplwwGo1SJnc4HFJFnpvMDu52NIjYy7pcO1xAZt3tdnV7e5u+bJBv87GJCgK6vb1NyQBZpa3F0Q7s9XoajUZJfPYbKKWvrs5+6xG1S1wmVtvuKm+30sDC24QBq40LxZOwLzUPFT3x4/FY2MnUE/f9+Vqt1jclDEoDJAjEegx6YqnYNowMk7UJ/L69UbZ1JX0V52g00u3trcbjcVqEY6ej8zxXv9/X1dWVRqNRcr24TsBlMyh6fX2dkijqgWTaZOJYrqurq1TrK2/bYdcA2wVVZOdYResZut1ucvd0OBixZybycrmkUpKn9XNfOkkgbKv5WJVer6fhcJjaagxy2m8rsg12OxuHy7VfrWDXMWRZlo5vF13b9bh2tRnTILjNstu1wf1gMCjUFO3sH10axDQcDtNUjV1RR2JiN4uk3oegT6eTBoNB2ticePh732vCOXAdZ7OZnp+fPW+/7zzfzz//rNFolL6jFjFdLpfkfnq9nn744YfC923YyZLyOgpcNpbUll1sl6RcF7TtPW4UAkR4BPd24NPO8/F+FHa/dzxi0n6/r5ubm3Q8Hj47tGqXE5QnkG29z+40apMNO0VjJ4UQ8nw+d4353L7sOXg3/Kq6/ffDD94tIb7AjRBf4EaIL3AjxBe4EeIL3AjxBW6E+AI3QnyBGyG+wI0QX+BGiC9wI8QXuBHiC9wI8QVuhPgCN0J8gRshvsCNEF/gRogvcCPEF7gR4gvcCPEFboT4AjdCfIEbIb7AjRBf4EaIL3AjxBe4EeIL3AjxBW6E+AI3QnyBGyG+wI0QX+BGiC9wI8QXuBHiC9wI8QVuhPgCN0J8gRshvsCNEF/gRogvcCPEF7gR4gvcCPEFboT4AjdCfIEbIb7AjRBf4EaIL3AjxBe4EeIL3AjxBW6E+AI3QnyBGyG+wI0QX+BGiC9wI8QXuBHiC9wI8QVuhPgCN0J8gRshvsCNEF/gRogvcCPEF7gR4gvcCPEFboT4AjdCfIEbIb7AjRBf4EaIL3AjxBe4EeIL3AjxBW6E+AI3QnyBGyG+wI0QX+BG9g9+XvlNziJ4l4TlC9wI8QVuhPgCN0J8gRshvsCNEF/gxv8ATPx8jP2fvE4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 60\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 61\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 62\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 63\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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YAzYLMG5jAE3rslgssFgs3PSTdF2EF5gdMOVyGVEUuYKvb9nkGGQceSqDZlLB54CHBIfFXc7fJkniaonMsk8t4mFysNlssFwusVgskKYp8jx31pLWT7pa4OnaEM5+9Pt91Ot1XF9fq7fSq1q+n/70p09KDZvN5pNBMafQZHmFJRsAhYzyuclzxmmNRgOtVsslO3RFfjeJ7Byh9fK7WigSoFg8Z/JDiy2TqudW4QHFKTqWZBg2MGZstVqI47gQH/O9chqRMScA183NRgRNVC3fxcWFOzlpmrpOYFnzAvAkY2Vtr9frod/vA4Ar1DI7pKjlhTk1J0tLKksislRCd8hYjavIZFxFkcjslM8TWimZ2T4nOr9BldNgQRCg1Wqh0Wi4uXC2fPmJipzGm8/nbkpOzoIwvNBCVXys5TFzpcViZsgTyuo/YfDM5tPD4YA0TQv9a2maOldHSyezRx8KTi5fBB5rcDLAPyU+ZsS73c5l48zCWRbxbyrC56Xw5EwMG2PpXuM4Rr/fP7kehe+n8KbTKe7v711ixWoCv4sm6nU+XkAG1qvVyjUKyDZx1rmAR9fLJgA5dcTMkI0K8n3y82SblrzYy+US8/kcm83GxZgAnIX01/7yOLyJ+Po8z5GmqRM0V+fx4ss2LH9c/B4srSwWC9eGH4YhWq2WW4wk56/l+9m+dXd3h/v7e7csIIoilwF/0XU+OdXFlqHpdOrqWrIvjxknUHSXdIPseaOLYlzI99L6+e5J9gZy5RlbzaV1kLU82bIkg3aWajh+iiYIAte8wAZSjtm3euy64VjG4zHG4zFms5lbyCQtl+9y+f40TTGZTPDhwwdMp1N3c8RxXFgHo8mLEJ882aPRyD3PrJD1MX/+Uwb9XAhEi8KCM9d28CKduuNpedltPJvNkGUZwjBEkiQuBKDo/BiUY+Cx6fqZeXO9cbvdfnbrClmmoRVeLBaYTqeYTqdYLBbOetJi+kV0CphWl+dzMpm417Xb7UI8rMmLcLty+eJ0OnUn9/z83G314F8wmQnLOI1FYWau8v3SxQEouHUeh+3qPBbLOH7hW4pOHkseZ7lcutJIkiQuq5ef62f0FCF79Nh9wyI6hcNz4COt33K5dOLlQiRO78niuxbqzaRsimTHBbPeWq3mfv+UteDzchkl620sl/jFVv70xcSLzgl8LnmkaPyi96njAY+7EPA4XJ8rYzxfePJ3GQ7IdcYco/z+p84Jv0eaplgsFpjP56jX6y6Olm1rmqiLD4BbL8GMkJZDdv/KAF22NBFfRPLCyQ1y/MIqjyE325FLM/02Ln8G5lQrlP9eOeshYzyJHJ/cuuOUaE+1ep0q0ciaJeNEOberXWpRtbucZJeT43L/Pdny5Lc6SVHI1Vt8n2yTZxuSFIAfY/H4vNCyU8XvYj5VL5S/+8kJ8BhXyg17To1FrlSj+5f7xsi6pRS537ol3TO3/ZDnWC5X0ELV8vEkBkGAXq+H169fYzKZFIJ7WWilAKRgALhWJq7E32w2mM/nGI1Gbh2Gv9XFqRkAlkRoFdik4O9qBRTdreyi4cwJO0j4XLlcdokEZ3FopaXLl4nCaDQqlH3k9+T46UopZCnucrnseiOHwyFevXrlGhmem9L7nKjvWMAYpNlsYjgcYj6fo1qtYrvdIooiAHB3MgAnPrpjAIX1CbJgzeKubCw9Ho/up+/eAbhuGAAu2/ZnEZ6D1olLFbfbLcIwBPDQ7sW4lh00LBnJQvtsNsPd3R1ubm5we3uL8XiM/X5f2N1A1hI5blni4fxyFEU4Pz9HvV7H69evcXV15TyLtvCAFyA+4HF7tLOzM7x58waNRqPQNsRsmG5WNnTygst6HzPU4/HoJvK5/pZiB+COATy6JrkFG2dR2Or1XeD7er0eyuWyy5rZcc3P5ncgbAtjYZi7C3CvF34/1ggpWH5Xjo9Wj3u8cG3wYDBAr9d7MlukyYsQHwDn7s7Pz1GpVFzNjou1Zbs78BiwSxfXbDbd1mS0apye8vdQkd0tPFYQBG6BD0Ut90fh58okw09+SqWSc9lcvMPyilwEJFugZO8eC+4yFJDdMHKhOVC8geS5pLWm6+Vi/JciPOAFiQ+Am7cEUFhXygxOZryn1kxwiSUbQRmgy4SEZQbGfbKVnUG6LO3IQrZftvF/l/VEigt4TELk58vOGIqP5Q+5d0ul8rAp+tnZGfr9vrNmFB8TDb9+KJsH2MWsnWD4qIvPL4HQPTHukyvM6Hp5YWS7El0uxcnCKmc52MLkt+gzcK/X60/qarL0IrNh2SXjlzjo9mg5GY/KdSWnupaPx2NhqWW73XaNCd1u18Vs5+fnCMPQJTA8L3L+WO5VI+ej5Xg5fk3UV6/JiyfdE/C4aovTRXTFFCczS1bvaVWiKMJoNMJut3PuWLo5P9Njuzyf59/82FLO60rxSuFxwTrwuJhJCkBaayLLM6zF9ft9JyLuWcj9CumqafUYWtDF0k1Ly09L79csNa2h+qJxv0gKFPc+2e/3rjVoNpsBgKtTtVotZ1EYa7Hvrt1uuw4ZZpp026fufL8tSS7Mpvi4Px+7XWhJfOFxaSS/hxSdXzP0C8SlUsntLMrOlW63i2636/axYUkFgCsrLRYLd075nQGctLByluaLFZ/sdzv1kBP0nCBnEVlO+PPi0qVRgOwqYQbLnUopbP/Ey1odRU3Xy2SAdTW+ntaZoqNbfq4LhpyakaD7rNVqbtd8zv4wfpN1Tlq96XTqtsvd7XaucM89pP3ZF3mjc2cvDdS7WgA8sQaygs/+vMlkgvF47CwJt56gq/YvNkW4XC7dhaV14Fpg2RQKFMXHqSdm2hwrYyv+jeJhxsljysZNX3xSeCw8r1arws0it9mQbWXSdbI8w72a+Xyz2USv1yssA5DCpwfQRlV8zAb91iBaNNkYyc6OarVamPP1XTUfMrZjaxOXWW63W9dY6W+NwXHIGQXGnXIemO5LioGWyV+07gtPTuulaYrlcuk6YFhyknOw/pSaFL1shODCIrkpuu9e+dwXL77nuowBPBGSLCRLq0VknOi7b+DhpHNbMrk4yF/fK62vtKAy25XIso98z6mWKQqPFi9NU8znczeFxniPewP6OwzwGPJzWUoJwxC73e6Jq5fTezy/MlnS5EVYPuDpf2ZHwTF56Pf7rlxydnaGbrf7ZLG177rlc/y37NPjbu/PtUtxPMfj4/7GMkOXY5fz0c/16fG1sudOLirnd5XC87uvZRLDxe+cK86yDEmSuE2CpFU/JWBtXkRjgY8sysZx7KaquJsUt5qQaxj80oUUnXzQjcpkw3+9PxaOlSJ8TnynxCtfI1ujiJw6o6s9FY/64QXXsFxcXLguaS49YPe3FK/8XO36HlEvMgNPT4YUCv/vsSRJAMCtf5XLGP0T7LtyP4Zjlu0nA5+6ODIkOGU5vu3C+lN7dJlsnuA0ofyvEp4bh0yImJykaeqaKTijQQF/yhJroi4+/wRLS8NiKQA3uS+noE65uVMi8NdccDcEOdtw6gI9N9Z/xHLI78XvJrfJ8JdlyvfIBlj5N5lVx3HskjBaUz8k8cejLUC1/28XeLqNrHzen9aSJZVTYvkulocxm1xL4Yvvn41MOmSX8nP1QP+9/k95vOeaYU+J7zNOsT37AariM74InhXfy+mvMb44THyGGiY+Qw0Tn6GGic9Qw8RnqGHiM9Qw8RlqmPgMNUx8hhomPkMNE5+hhonPUMPEZ6hh4jPUMPEZapj4DDVMfIYaJj5DDROfoYaJz1DDxGeoYeIz1DDxGWqY+Aw1THyGGiY+Qw0Tn6GGic9Qw8RnqGHiM9Qw8RlqmPgMNUx8hhomPkMNE5+hhonPUMPEZ6hh4jPUMPEZapj4DDVMfIYaJj5DDROfoYaJz1DDxGeoYeIz1DDxGWqY+Aw1THyGGiY+Qw0Tn6GGic9Qw8RnqGHiM9Qw8RlqmPgMNUx8hhomPkMNE5+hhonPUMPEZ6hh4jPUMPEZapj4DDVMfIYaJj5DDROfoYaJz1DDxGeoYeIz1DDxGWqY+Aw1THyGGiY+Qw0Tn6GGic9Qw8RnqGHiM9Qw8RlqmPgMNUx8hhomPkON6rf8vfRZRmF8kZjlM9Qw8RlqmPgMNUx8hhomPkMNE5+hxv8A+yE03oHWM6QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 64\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 65\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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kMhH3Rx2Qaj/jM8ZApVJJapuNRgPVahXT6VTqowAyPX3UFovFopCFsRL1xeVyKdocCcprktCn0ogecJKOMSI1xXq9npGd9H3p59zv96LdNRoNacJly5bOcJn9M8EKgiDjaaxgrvMx5iKJaC2KxWKGcGzepAvRwfZoNML9/X2mT063Y1EAbrVa6HQ6GI/HWCwW0s1LkjIj1OI2rRkTFN6fXodBy8SMk/ILiXxaL+YzsdO63W6j0+mg3W6jWq2Kq9WZKdvHdK8hAJTLZanZ9no9tFotFItFSY5Y/eB97Pd7ue5vrVv5WjCtcDSbTRlQBuW6WgA8rl0IwxDH4zHj/igSj8djRFGUEVvjOJZBYLd0u93GxcWFkKpQKEjfHLPd04Ej0fSiG7pV3cDA/9ZxFJ+Lx3DAdR242+3ixYsXslBKu0rGluy8ub6+xt3dnbRrMVbWXUE63mUJcT6fi/xCWYsZtCVMLV+lUpFC92KxkJcUBAEajQYAiIXQfX/sSYuiSFzadDpFv9/PVAcYNwGQuIgkYpNnmqYZUrG8BSCzGInJBVu9dCMmu000AXkMnyGOYyn98XpsMiX52HWjya/ru1yfwkRKu2yK4MzyWdHhMbR4tVpNSnGVSuUrjPJvw/xXJznDJ5OJtDWFYYjFYiGBON1vqVQSLa7dbktpjTHXYrEQK6jlBsZQtH7a0un+PeBRqmCioKUexkpPLd/UrlevUqPYy+cAkLGEnU4HZ2dnSJJEWuLp5vk87LzRbVuFQkGqMBTB+dy73Q7z+VyWT06nU+x2O5TLZZl4vBdLmJJP121Ho5FoT0wEGo2GSAqMl1j6Ojs7k+yYg6L77bgOWK+p1ckHLVoURSLj6FiSsZ4uu+levadkDFphlsT08SQcwwNacfYwcoLoBIHvJk1TCQ94fKVSyVRgdKzIzhuKyaPRSLJlxrd64ZEVTCscg8FAGjpZvWB7FFvcT/U3HSvS/fA4ABIj8fuUM9grp89FEpHgrKqQPIyRGONRK2RsqFuqeG3GrjyHrjqwgsO4VlcuGCNSktEVGWpyAERK4gTUVRj2F1JPZGmR4QyFbU4avj8rmFq+L1++SMMkFzNzwEg6Si6c8aw2MLbSGehpBUK7R67/1W1O+jy0MmxQZezJeI2xGHVFismsouiKBRcoUV7hZOIiKIYAWmej29/v95jP55lGCk0+hh7M3NvttlRiNLG1lknLzDCCxJvNZs9XZP7y5Yuo9SyYA5DYhXKLjvt0Jsl2etYteY4gCDKSB5MBxjnaFXIgeK7ZbJZx9UxA9LYe5XJZyEz3zUyd5KMep5s3SVQSTxf+6W5P16n0+33MZjOp6JBYrPxoQZqx6anYTgJyUrKjmo0OVjAlHxMMqu4cHFo9Jhl6fQJjO75c7foo/pIUlGziOBZLqNc4sNbJKoLuDKGATNmCJCNx9bYYJDyAzFYX+jwAhPy6C6dWqwmRSQ5aTrrd+XwuMRuFb52d644YNopysurF6XqvGcanljAlHweJ/+RLZfaqycIPXaUmEV0nrSgtHQVWxlocLABSZtPt6rSEuvGA3zndn0UX8HXXCr/L59Iunpa00WhkkgXGo6wdM9vVywUYLlCq0SEJ3wXvQ/+3FqtJPt7rs94uI4qiTHbIYPm0JAVkd5HSnR3A4yY5TzULAI/rgxmv0VqSWGmaYjAYiCUFshsFkVC69qvbo3QdmB/eh142yXgtSRJZHB/HcSYWZcihn0sTRj/XU7tw6W4WWnJm8yQmRXuS3gqm5Ot2uxKv6eZGWgAuSdTLB4Hsbk/aCnEgTjfm4d+1peBAUqDVSzb1an7dHX1KwNOWKC3R6Bour0uZh9fjkkc2vj61k5ZeqKSf8fQ96C5nZrlcgnnadk/BPUmSrzbWT8GUfN9++y3u7u4AQOqPjP/02tzZbCarugBkukWAxwoD1X0AEvxzMHRHibZIHFwez0SERD+1siSjbts/7RDRHTgA5Ly65++UQCQ4dUbd5qVXofF4AJn+RCYWjH0nk4k03tL9U+xOkgRv3rxBr9d7vrXd7777DnEci8bG9Ric6ZQcRqMRSqWSxE2ndVfGc4VCQUjGzJFC9nw+l2ZOkkULw8Cja2T3LwAp6+mOGm1ZNdFo3crlslgyAJI4MZli3ZW7LORyOYlZafH1mmTem47vtBitG3CZqIxGoydLh51OB69evcI333yDy8tLm8H/H5havtevX8vKfsZ3k8lEtDCuURiNRiiXy5n/r930adCtlyiyeqIXfrMExsFmPMRaKYDM+hD2A1Jk1tcDHslF+UPHk8Djlh3FYlGsExeF07qxCWA0GomwzLo3kwOdZbP+y2WYzPB5DhKP187lcmg0Gnj58iXevXuHt2/fotfrGYz6I0zJ12q1AEDcLQD0+33sdjsRlXXrNwlCbY6DwjiGDQHUsrhoZzwey+5SPB6ADCwlmXa7jTAMMyvG9DoRNqNqK6gloVqtJrFVtVrNLF3k4iQW/3ULFgCJ0XRVg5sS6SUGlJ1oRXUXzWazySyu4g5brPsmSYLf/e53ePXqlbRfWcJ8lyqWiugC6vW6DAg7V9jCzu/zxesMUu/SxJYprbdRq+NA0a3GcZyRQSgO66WPDNTZOnWaYeqYjC1Ruq6r67FsGtX1XGa6vGe9AwEnot53Ri8Mosyk5SYew94+ALIR0eXlJZrNpoQBljAlnxZhueddtVrFarX6Ve8c97oDIEE3F5xrF0t3RaKdZp2sUNACsjW9VqtJbMiOYU1E3cS62WzkeBKGiYLumTtte+eKMr27KS0WLaaWSjgpdDuZ7samVMJMW8fN7JDRnctcWsrua05yK5ivXuPs5kq0UqmUkTN0OY0vSzcH6PIR68QkDL8L4EkrRAu12WyEfKwzMwlghzWzZp6Lmtl2u80s7aTIzcFnFw7llae21aXrJhl5DX64mVCSJLKQXdeq+W44mXkMv6Pr40EQyHM9642CPn36BAASR7FdScdDlGB0KzgzXAb+uvOX5GPSoRMQnTlyQIBHKYRk4PHcK5n9cHTpXE/B7JrbXnBdCS05dzJlTMmYj+4WgDQwAMgI2CRkoVAQ4mlhmpup6x2tOEm0nsfSG+PG3W4nHeAA8Kc//emrjrmGaUvV1dUVSqWStIBz7zy+fLoTvli6SXZ40L1FUSRrIRioUyvUJOK+KHpTbpbitIRCazeZTDAcDqV7OAgCWTo5Ho/F8jFRSNMUh8NBiEExl4Qg6Wk5dR13OBzKjqYkP0nL5aE6eeD70S1pbG5g3MmYmUI2pZk0TWXb3mfb1cKtHnTfHKsP1Ky41cV4PJYBJRFJGLoUDtRkMpGWJg7Q3d1dps9ts9n8anmhLs3p0hTXUgCP9ejpdCqyj94rEIAE/JSD9Ll1qYyT4u7uDj///DM+ffqEu7s7kUn0Lgq6W5n3wbLgzc0NhsOhLKXkYnNONF1FIeEY01rClHzUxhiEcyklM00AskBoMBjIy+VKe7ol6lh6M0cuNOcqNJKJLfuTyQSXl5fy60Z0uQAyhNYVBcZWdHc8RmempxPitCJBiUjvH/Pzzz9ntuU93bmAsaJOMHSb/PX1NR4eHmQB/uFwQL1el3ekew9Jem6GbglT8p2fnyOOY3S7XVk2qFuYaAXZ46YrFLR0DOwZ++nNxWmxtJjM1fr8vYztdivrJ4Bf1nuwfZ8xFN0z+/yY4LCLRMeg7Frp9Xq4uLhAt9uVhUEApO768PCAz58/46effsL19TWGw6G0TjH+5RZtemd+Ephx5t3dHfr9PsbjsSyQr9Vq4raZZTMU0J1As9ns+ZbXLi8vUa1WkSSJZLoMtA+Hg2SGFHNZy6X70EmIbhhtNBqZnUap+FOSGY/HIvpycGlpdAMrXV6SJOj3+xiNRpmSl4befJG/J3J5eYlOpyMLwSkZsXKjd66nNaegzfPw+NOfhWDSw3ega90kHaUV/XsmXIoAPPNtcalXsRuXboXWjVuVMZEAfiEtGzBPf8pKk09XJlgf5t4wuiLCf6cWRwGbK+TOzs7Q7/dlm7Y0TTMWkCIzdbRut5tZW6FXlVFzW61WmR865HfYss/dUKnp6Z/t4vthK34cx0Ki4/Eox+pVbZzAADI9i8+6n0/rT5RN6OKOx6NsA0EJg7oVf5GHLk2vtaX7q1Qq8ss/ukOGGWG9XhfLxIqDVv2Px6OIutyIaDgcZnREko9Wj99vtVqZigstDd0es2lm481mE8fjUfQ8TsqnGhoASOLE2JgaKe+ZGyad/kAMQwR9TkuYXn25XIqrpdukys+Yh0skC4UCZrOZvOh2uy1iq24o0I2WugWLPx7DbTKKxaJoZ1yAo9f7Ho9HsYrca7nb7UqLkhbAWW3R1Qy9e6nudNbLFfP5XzYCZ/JCS6atHI/j9ynT6MpMkiSyXVqtVsPFxQXOzs4yJTy6bL1S7llXOEajUWZRkCYfXzDjtyiKZBMgZoBMNoDHzl3dfk8CAI+t9oyPWIU4/dEZTRYgu2aD1k13E/M7OsPVoQDwuDnkaU04DEPRASk16W5q3d+nn4vnZSNskiSyoz6bCfRvjuj+QU5SZsuWMG8mZbeIHnzgsW2eGezZ2ZnMXMZLWrBlZ7J2hbSm2vJQbtC13tMePV6f/9SNA6fNqKf3etp4oL+jO69Zt6b7Jsmful8+1+n5dQOqTrAYw57+LCqTuTiO8eLFC8Rx/LWG+kmY/diz49ngN7Uc2/0SHM8aTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjM4+RxmcPI5zODkc5jByecwg5PPYQYnn8MMTj6HGZx8DjOE/+Tvua9yF45nCbd8DjM4+RxmcPI5zODkc5jByecwg5PPYYb/Bl0dJDZtNneuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 66\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 67\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 68\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 69\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 70\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 71\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 72\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 73\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 74\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 75\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 76\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 77\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 78\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 79\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 80\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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yKVZhs9mIdeHyQosUj8cRjUaxWCzk39m5cXR0hMePH+Pp06c4OjqSRPJ8PpfaLfN0/N2fa9EyLSAtTSgUEr9uMpnAdV1Mp1MpszFap9VikpxLeDKZRDQa3Uua8xjMYwEgtViKv1AoSH4unU4jGAxKhYXnZjYfRKNRsXasgKxWKznW7XYr0X6n08F0Ov1at/uzWLV8i8UCfr8f0+lUbrLpxPv9/r3COJdJWiCmOJLJJDKZjFQwmFD2+XziL+VyOemI/lICm34UI1Qz3TOZTNDv99Hr9TAcDiWRzMYD5s222y1SqZTcfPqz5nvz/QlFz4qFWY2h1QWAdDoty7FZzaFoi8UiKpWKlBEDgYDkBHldp9OplAO/6TwfW86ZqKUfx5vm8/mQSqXkyeYX0yx0vOnDMDJkGuRwKWXQwIrGYbqBSyStBasnq9VKyl6DwUAqKxQfqyP08QBI9YN5SC6vh6JjoGMKj9bT7DVkJ4/rupjNZthut+JPsm2rVquhWq3CcZy9ZLV5rkwtsenAJlbFl8lk5HteUN4kPtHhcBiO4yAej0vzJK0Un2DmuvL5vOS7aDH4veM4KJVKuL+/l/ye+eQHAgHJNdJHo7/EG79cLsW60ZrRn6KfyuqHmZejs88asVmn5ZLNIIdNorT+PM5ut4vr62vJUXLJ5GuPj49xcnKCQqEg507h8yHhOQJAPB7/inf681gtr6VSKSkXMZk8m81EMEydJJNJJBIJhEIhaV9iZ8lisUC/38fV1RVSqRRCoRDW67V0QVMg9A17vZ5YAjrsfr9fcnuMapmw5c3nTeQNZJ6POTrzNUw+mykkpnBoddjrl0wmUSqVUK/XJcXCsh3di9FohNvbW9k7clhLLpVK0guZSqWw3W4xHo+lG3u5XEpzKZPPkUgE4XDY1u0HYNnyhUIh8Um63a4sp5vNBolEAuv1GrFYTC5YOByWdqTBYCBLLVvpb29v5Yler9fi4wWDQWQyGRwfH0vrVSwWk949Luu8OawFczllAMRjTiQSn0S7oVAIAMRXpbUDPlg3tt3HYjF5X1rk4+NjPHr0SFJEwWBQcoBsAL28vMTt7e2emJjWKZfL0gsZDAYlIGFynqkcLs9MpvOYbWFVfPTVut0u7u/v0Wg04LoudrudWLFCoSDpCwqLS+JqtUK325VkMctVzG15nodEIiEWolwui8XJZDLodruYTqciIvqKXDa5xJrdImylAiBOvInpU9HvpIWLxWISxbOMVigUcHR0hJOTE5TLZSQSCfj9flkNut0ums0m2u22LLWs/+bzedTrddTrdVQqFWQyGal08IG+u7vDdDqF3++Xn3MJ/m/etfZPsZpqYdK41Wrh/v4e7XZb+uIA7LWim80H9Le2261s/+MNXSwWGA6HEg2ysE4B5nI5WWqj0Shc15VsP4XGQIP/BnzcusjyG3N67DM083hmFzStIl/PxoRwOIxMJiMRai6XkwfF3G8xGAwkuqZgmXSuVqs4Pz9HvV6X/RzL5VIyB9w+MBqNpJ0L+ODysDHWJlYt37t37ySK7Pf7mEwmWK1W4hPRV4rH40gkEpLHMgvlsVgM7XYbk8kEAKTZ9FAkDFbo4KdSKYkEuawymW22JzEapfjNHCCXVwrDTPIyGU7x0WKyX5E+Jl0KWmsKz2y7Z8s7d/rRTzw5OcGDBw9QqVQkvcOHjJkEBkP0P7kizGYz2R1nq6fPqvjevHmD2WwmUaKZuA2FQkilUrLt0Mx5mRuLzBzdeDwW60PxHk46MKNOWgDWf7nJyGylp9Xle3BPBG82E+P0CenDsmmBv48+JVMgrIKY+3ppbZlTbDabuL+/lyaIQCAg5b/j42Ocnp5KaoXvx1owO1uYsjHzpAxibEe8Vpfdu7s7WVqZgGWLFZOmxWIRmUxmr/bLBgR2FTebTfF15vO5dBwDkHQNrQ2FwAYBANKgyvwdI1vg454Q+nkUI1/PdAiXOnarTKdTWX7NrmfgQ7ADQJZhHhcA6eZpt9toNBq4u7vDaDTCdruVVYCZALPhwezVy2az0onDoIvVDh4fAxabWLV87MczoSAikYh0EPNGM0fFhgIuYSwbmb4Ra8Vsqfc8T96DS7HZwEDrwKXTXI7Meu7nZsEAH2u0fI/D+i/wUchm3pFt/pFIRObBcKMUG0WZUF+tVkgmk7IJnCU1+sI8Lja2si7NVYLiJ4d//9pYFR/zZwA+udkMNGi1zOjMdOQBSGTIYjqtJ30vANIdHI1GZU4MhcuuYo6RYFWBx0NBmj4d34ed1vwZfUgGK6alpkWvVqs4OzvDgwcPUCqV9jav82FkdYSNFaz4mP19vC6HkSutfTgc3nsgzEib19EmVsUHfDpdisspg4HDDTH802y3NzdV0wcztzFyqWQS2e/374mP6Z5+v4/xeLxX+zXLW9wmOZlMJDfI4IAJb3PTkNk1EwgEEI/H9yYzMK/HJTsQCEidm+UwMwo3qyYU0ZeGBjHapU/NtBHwcauAbaxvGueNpQBZFuIICo6sMG+mKdhDcXK/Ap9q8++0CPweAIrFIqrVKorFooyjMGuh5u+iL0f/jykZJrsZMB0Kj9E2JzNUKhWUSiXxZRk1s1nCHGRktmbx7+a5H3bo8GHk/g5GyqZPDXy0jjaxKj526/Lp5AWlL9ZsNtHpdHB0dCS+jbm5yPTBGMEycmQUbC6Fn+vhM7uX6VvSEpnWBfjY/r5cLhEOh/d21Zn+3aF46J8xYDB36Zn7VnjuPGYGLLSch+dnXgOzcYBVkfv7e4xGo70AykzYm7V1G1it7Z6dnaHT6aDb7QKACJAJUWboj4+PZdmklaAPY3Z3HE6dYgql3+9jOBxKTxw3VvNGm35hNBoVy0dLwZwhHXtaJ7NGy/dlU4D5egZHZtqDPiTFRL91NBpJbo8R82EZj24FrwFFyZapbreLRqOBXq+313zLCJfJbU5IsIVVy/fkyRNkMhkp0jNfxhsym83kCU4kEuK0M7FLx9u0esDHKaLj8RidTgeNRkPajCgGALJBh2IzR5/R3zRHTrCykEgkxGekcM1BPmxoMMXHfckAZFceN4kDkAYJ5vbYKm9WeczpCQAkMU7LuF6v5T1arZZUi5jK4diQSqWCk5MTVKvVr3ezP4NV8T169AiZTEYsA8dWeJ4nlQyOl0in09jtdnv1XXascDmjH2c2AvC1uVxur12JqRaz1lupVBAOh6Xfj86+uScik8kgm83uiY8BAlNAh/195rAeNg7QeptNnhzfwcQyU1Gm1eNUBrOERgGznsuWK9aU+TCzMsIENZsMbGF12aWVAT4kXnO5HMbjsTje2WwWoVBIxmPQzzpMXXBeSbvd3tsBx9TE4dwTAHtBQLlclhES/L9m1YVCZkmM9VWKz4xK6cQzgcwvzozhHmDm4Cg+1lrNSVd0CehScIcexc/ll9Ew26jm87nMFPT7/dhsNlIxMseIfLM+HwBZ7jho0XEc6VYxxQV87IBhEpWduNziyA3UnGnCXKE529gsdbGL19x/USgU4LqufLHmzJ1eDGIOd/of7hzjQEq273McSDqdlt1pDDp4HeivMugwgynWuHO5nIySoxUHILlG5joBSD4xn8/vjf6g5WRe0SZWy2utVkt8Ii5nTBWYHcAApLeNCdXDzmbuf2WDAgVymEdkioGFdy7lLPJzNqDneZLm4U2lFTFb9Nliz7kvu91ubxNPKpWSDeesUZvDkBiBm+IzI202JTiOg2q1iuPjY9lVR9+Sm5vMiaP0TZlWYnTNVWE0Gn3bm8bfv3+PeDyOcrmMQqEgxXqmSLjZhc0Cn+sWoRO/Wq1kgw8bUilgc7jQYSDBG0y/iDkyTp/iJE/eVE6hGo/HIj5Ou2K/HeegMKlMX83ce2vOVDE7WcbjsSSEmQqiP2o2EvB3UPzdbheDwQDz+VwaVflQcaMRc5Kj0UgCkm+2q6XRaIgPEwgExCrQAWc6ot/vi+VxHGdvEKRZaK9UKqhUKuJwMwIdjUZoNBp49+6dCJy9cVz6mIpghWU4HKLdbqPZbMrYDQAy05gFe3ah8HiBD0s5u7FLpRIqlYoI3hypYU7Rv76+xrt379BoNDAajcRNYLcyR2CYy+1yuUS/38ft7S3u7u4wGAzE8nIHHC2g3+/fq3h0u12MRqOvfcv3sCo+WjFahnQ6LTeO/tNkMhEBcPYIl1Xm27is0KHPZrPo9Xp7eyCur68lf+i6Ls7Pz2XPA7s+zKlYtEJmmxWFSats9t+Z9dfdbicfj3A4vsz8kxOo3r59i1evXuH169e4ubmB67p7e4Kz2ayIiZ09nPNydXWFN2/e4Pr6GpPJBIFAQDaXl0olCXaYapnNZhLxm3NubGBVfKlUSrpOisUiHMeRfRpcdubzueSuFosFYrGYtL4zf5VKpaRrhaMmmI5gIvZwqmmr1ZKPRmB91ayZMq/GKgTFyXYtdkObXdV8IMyKBB8Q+lrAh4duOBzi5uYGP/74o0yxNy02hcfcI3vzKLzxeIy7uztcXFzg4uJCrg+n3JdKJalhU7SxWExWglwu9213tZyenqJWq8n+hXQ6LcnS7XYrSWGOeGDEu9lspA2d0wnowDMXl8lkpE7LHjbu/RgOhzKRdLVa4ezsTJZ+fpzV8fGxBBw+n0/mNTMIMmvRFBsrHJlMBkdHRzg9PcXx8TFyuZwktrmkX15e4u9//zueP3+Om5sbqcGa+UHzXLgRng8St4teXl7i7u4O/X5f/MxsNit5PUbYTM77/X4pwfGYbGFVfPV6HbVaDZVKRUbXMqLc7XYyD4+pFZbNuL+By1oqlZL3NOecMJXDKJBlLdd10Ww2kcvlcHx8jGq1KqUnJrzN9Mvbt2/RaDTE9zOn0TPBS+HmcjkcHR3h4cOHePToEer1OnK53N5YXpYOG40GWq2W7CMBPuYHmX/kjBYKhRbcnErKh4KBGEcDmxE294Ywue667t70BhtYFZ+5j9SsfVJoxWIR9XpdPliFcDzG4cdAsW2pUCjI5iLHcaS2y3269DHNhDEjUbahsxu4Xq/j0aNHuL6+RqPRwHA43CvUAx87lbPZLGq1mlg8pkQY3dLysA0/Ho9Laz1dCH5qUS6X2xt/wWPj7wuFQojH4xJU8CHI5XKo1Wqo1+solUry3mZ0zZTSN9tGD3wc+W/uteBXJBJBLpfD6empbI/koEPHcXByciI79Plkr9drmcaZSCRQqVSkWD8YDCQH6PP5kMvl8OTJE5yenspHMPAmARDrw0jz/PwcnU4Ho9Foz/oBH62eWbBn8GQ2erJnb7PZ4PT0VDbw9Pt9eJ4nJTgOoaQ4zZQJqx35fF4qIJFIBP1+Hz6fD5VKRc6LFtPMIfI60/rZxKr4Xr16hUQiITPizBYjLh+1Wg3z+RzhcBidTgd+vx+5XE5SD5xrwqjTFC4vNEtXw+FQIslEIiEjJniTzNG8Zrc0l7FarfbJ8HAAe8lgpn74u81ljX93HAcPHjxAIBBAuVzGdDrds7isazOYASDvzweE/pzjODg6OkK/38dut0OxWMSjR49Qq9UkyWz2BQIfUjSNRgMvX778NvN8nufhH//4BzKZDL7//vu9DgteKAYV9XodkUhEPkKAN4kWj5GkmaszN+ccpkRYL02lUjKh4HP+j3nT2A19+HEDxJyF8qXuYrP5gDMES6WSHI8pLh4vu3f4OvNThmgla7WaBEfJZFI+keiwZ5DX3XVdvHnzBi9evPg339X/N6w2FvzhD3+Qjysw9+Ly57R+pVIJqVQK6/VaarqHHxTDSI+WwuzxoyAPa7DMD5oW73PHeShCAJ9YvsP/+1PnzUiWPh777Uzh0uoxL2ieE4+XS7XjOBJ0MKVy+ClOJBgMolgs4ve//z1qtZrVgMPahz0r3wxfVLfdYR3KN42KT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7GGik+xhopPsYaKT7FG8J/83PdVjkL5JlHLp1hDxadYQ8WnWEPFp1hDxadYQ8WnWOP/AoG7xWJ8Xn7YAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 81\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 82\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 83\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 84\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 85\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 86\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 87\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 88\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 89\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 90\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 91\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 92\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 93\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 94\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 95\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 96\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 97\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 98\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 99\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 100\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 101\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 102\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 103\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 104\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 105\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 106\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 107\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 108\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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jAqD8n8FgQKPRQLPZfGmAoVarYTAY4PP5MDk5ibm5OQwNDcFisUCtVqNcLqNSqaBcLrO0B0WQJpMJRqMRGo0GXq8XBoMBOp0OkiSxqszL/L9Wq4Vms4lGowGDwQC/34/R0VHo9XpMTEzg3LlzCAaD+Nvf/oaVlRXkcrkXfN5ms8n840wmg1KphHq9DpVKBbVazZLiBwcHWFxcxMbGBn72s5+9mS1Vq6uraLfb6O/vZ2kCjUbDWpi63S70ej1sNhtMJlNPFYH8Fb1ej6GhIdy8eRO3b9/G8PAw9Ho9ADDBBYNBOByO1+qQ0Wg0cDqdGBwcRCAQYEnpYrGIRCKBg4MDJJNJFAoFNJtNaDQa2Gw2eL1eDAwMoK+vjyW22+02stksDg8PkUgkXpmAVqvVsNvtCAaDLMrVarUAAKfTCYvFwsRFDxb5zWq1GjqdDiaTiQUcJEiKzJvNJnK5HHZ3d7G6uoqNjY3vewu/F1wtH+WqKOdG/hK9ptFo0NfXh3PnzqFaraLb7fYkW2mZdDgcGBgYgNvtZlEe8K1ldDqdCAaDCAQCePbs2UsDDYJSHRqNhnXOJBIJRCIRbG5uIpFIML9RlmVYLBb09/ezchVZQ1mWT606nIYkSdDr9RgYGEAwGGRJcToXZdRNjRf1er0nf+fz+RAOh3Hu3DmWtmk2myyypaaEXC6Hcrn8yuT6jw3XJPPQ0BB8Ph/UajUqlQqy2Sx70ilx7PP5MD8/z5zup0+fIhaLsQRzq9VCLpdDPB5HPp+H3W7vyRtqtVr4fD5m/fL5/EtTLGR1a7UaKpUKgG8Do1gshv39fRwcHCCTyfQsu+QS6HQ6WCwW6HQ62Gw2VCoV1Ot1tFot5o+dBSXIg8EgvF5vT1cPBQl0HPl8njU3kL/r9/sxMzOD+fl5jI2NsUCiWCyy82g0GqhUKpBlGT6f75UP4Y8N12X30qVLMJvNsFqtqFQqqFQq7Gmklnqj0YihoSE4HA7YbDbWg7e7u4tqtYp6vY5YLIbFxUUEg0EYDAa2XFHy2WKxYHR0FENDQ6xz5TQhqFQqZqnIKlM0eXx8jEKhgFqtxt5PDwiJlZoObDYbCwTI8lB381m/l85zdHQUFosFkiSh0+mwz0mn01heXsbi4iJisRh7gKhb+9KlSyzCNZvN6Ha7rHmAgiN6sC0WCyYmJhAIBN7c8trs7CxarRZrkYrH4zg+Pkar1YLFYsHIyAjGxsbgdrths9lgNBrRarWQyWSQzWZRq9XQbreRy+Xw9OlTuFwuGI1GzM3NsWZUCjhGR0dx4cIFpFIpbG9v91Q3yILo9XrWMKBSqVhwkc1mmaWVZZkJm5ogKLHcarVYkKRM5lLloVqtAkBP4ET5xOHhYczPz7NOF3I9Ts6NPH36FLlcDu12m/VCjo6O4tKlS5iZmYHT6US73UY6ncbOzg5LLcmyDLfbjb6+PjgcDgwPD3MfzOJeXqObtbW1hZWVFcTjcTQaDTgcDlSrVdjtdni9XpbYrdVqiMfjODw8RD6fZ10fmUwGT548gcfjgU6nw8TEBOx2O2RZhk6nw8DAAK5du4ZisQhJknB4eMj8PxIe+Y4ulwuSJLElOpfLoVKpMAtFlpEsq0ajYUnnSqWCdDrNlmFJkuB2u5nw6KGhZdNsNmNgYABXr17FtWvXMDAwwOq7VA5cW1vDvXv38PTpU2SzWdaFTFZvbm4OU1NTLDmdz+dxfHyMZ8+e4dGjR8yd8fv9mJ6eZp3ilAPkBVfx0Y3d3t7GkydP8OzZM2QyGXQ6HVgsFlgsFkxNTQEAS0aPjIzgypUrrOR0eHjIlpV8Po/19XX4fD6WNzSbzZBlGXa7HVNTU+h2u7BYLHjy5AlbvmjegXJj1L1CMx3VahW1Wg2SJDGfkkpXyvwaLXUkGqp2yLKMvr4+6HQ6lgLpdDrQ6XTw+/2YnZ3F1atXMTU1xR6YdrvNarfPnz/HxsYG8vk8gG9dEo1Gg0AggLfeeguXL1/GyMgILBYLeyByuRw2NzextraGUqkElUqFdDqNTqcDvV4Ps9kMnU7H7d4DnMW3traG/f19PH78GOvr60gmk8xCSJLELBNdbEpFTE5Oolqtotls4uHDh0gmkyzlQAlUv98Pu93OREv5wFAohE6nA6PRiI2NDWQyGbaEybKMSqXCZjdIdNQrSGkMh8PBhEX5yFwu19NUStGrwWBgv1+r1cLtdjOBu1wujI+PY2ZmBqFQCHa7nSXaqevl8PAQ+/v7yOfz7CGh7u+FhQW8++67mJycZO9tt9usCaFcLqNcLqNUKrHP1Gq1zPfL5XKYn5/ncu8BzqmWu3fvIpFIYHd3l5WhKIKUJAkmkwkOh4N1kVDbvcfjwcLCAuupe/LkCZLJJKsUUC8c+YDUZ6fRaFhaJJ/Ps6pDNptlieN6vY5qtYpGo8F8M1mWWdKYUh4+n4+5AdSkkE6nUSwWWRmMfEmtVtvzfoPBAJvNBo/Hg8HBQZYbJOHReSQSCUSjURwcHLAo1el0wufzYXZ2Fjdu3MD8/DxrG6MI32g0slwfXWtKGcXjcQBAoVBAf38/fv3rX795SeZut4t79+6hUCigVCqx4IEwGAwYHByE3++H0Whkyxwlnr1eL2ZnZ9FoNFjlgTqAlc44dZqYTKZvT/j/CYk+k3y0bDbLom1lYyYFFO12GxaLBbIsw2q1wul0wmg0sihdrVajXq+jVCqxz6H302fQcZBFpmCDcoIA2HKbTCYRiUSwsrKCnZ0d5PN5SJIEh8OBUCiEK1euYHZ2lvm4ys4go9GIQCCAoaEhGI1GFAoFlq4pFotoNpvIZDLY3t7+6W+8Aq7LLo0IUrGcrB7VJkOhEPr7+3uGveki01BMf38/bDYb6/Cgoet6vQ69Xg+73Q6LxcJuvlarhcVigcvlgs1mY50lyuBF+RBQ84Bare6xhtSNQ8dFxXoq2J8spVE6hioOAGC1WuF2u9nx0TBSPp/H5uYmHjx4gJWVFdbVotPp4HA4YLFY4Pf7e4atCGqw6O/vZ0s5BUDkl1KbGi3HvOAqvmaz+ULCl5Yrmnc1m81njgVqNBrIsoxarYZ8Ps+y9jS6GI1GMTExgVAoBABs+aWqQblcxtHREZLJJHPGT7bA082i5s1CoYBcLsc6Z2iAiOYtzkooK+dkrVYr8/WU1QzK6VH9ldrnlQl1isDJRz1tySR3hHZqUOYMlQ/XG51qOWvWgS4UBRlntYVLksQsHgmPnnCaBFOmU+jzdDodW/ZoIk2ZAjntOKlp9OjoiN1Qg8GASqWCWCyGdDrNcodKy6lErVbD4XBgbm4Ob7/9NvPXyOpRHrHT6aBYLDJrrEyKl8tltnSe1YQrSRKrk5O/p5zvOHn93zif7ywouUrR48tKUspODmorUjYeKJ9wspJkRdVqNfr6+nDx4kUWVWaz2VPbnpRLVSaTgU6nQ6PRYAFHKpVCJpNhfutpDxRFv6FQCDdu3MDCwgL6+vpY3x/9DB0rAGZBlX/IMr5quwvaKOh15lR4wb2N/jSazSarRBSLRZbYPYmyCnDajk701NP/KS0FBQEejwezs7NYWVnBxsYGi3hPQm1elUqF5SJpxwJKQjcajTOtHtVup6enWaBwsumAmgTo2E+bRKMHgSz8aZDlpGX7rLHQs1aVnwqum0NSAHDaqGSpVEIkEsHBwcGpT7nSf1EKS3nzaJcAZSPnSZFScDM4OAin03lmFwr9H7Um1et15l+eVStWvlej0cDlcmFwcJDl5E6Kiny+XC6HbDbLAiD6DOV5KgOIk9DefJFI5NQuHmX0zROu4hseHobL5WKpAiWNRgPRaBRra2un7gagtAB0c092gRSLRWxvb2NzcxOZTIYtPyf/AGC5N4PB0DP9RYKmNiuqDtDuBzabjVULqJpx8r00iGSxWFjuTemHKSfSjo+Psbm5iZ2dHZYvVFpAOrZWq3XqbAhZvbW1NUSj0RfapihT4HK5MDw8/MPdzO8A18aC999/H5FIhCWJqZpAIspkMtjY2MDCwgLL19FrJDzypZTiI6GWSiVsb29jeXkZQ0NDsFqtsNvtbLkhK9ZsNqHT6eD1euFyuQCApUUAMOfdbDbD7XYjEAjA6/XCZDKhXC4jlUoxy0h1X+UssV6vZ9uq6XQ61rVMQqUHqVAoYGNjA8vLy4hGoyzKVSbe6fMAsOBG+dDRsBRVb05ec71ez5LUVLrkBfeh8bGxMVgsFiwvL/dsfUFONw3FUGcL+YlkEUwmE9xuN6xWK9LpNLNu1LqeSqXw9OlTjIyMYGBgAHq9vmfyrNvtssaDixcvwmg0suCjWCyytA3l2ILBIMbHxxEIBJj4Dg4OWONDNptlTZ7U3+dwOBAIBDA5OYlAIMC6YpTBEVVKHj16xHJ79Xq9x4ekeVu3281mbpWBFQk4FoshlUoBQM8uEHq9ngVZ77zzDs6dO/dmtlQBYB0c1N0RiUSQSqVQq9UgyzLbBJG6b7VaLUuqkkA9Hg9CoRDW19eZeCnibLfbqNVqSKfTrAtGuVTRUkoJbavVilAoxHYFpZtYLBYBfNuFQ2OUAwMDrMJhNBqZJaZl1WKxwOfzob+/n+2O6vf74fV6Ybfbe4Z6lM2iBwcHSKfTPedByzf1/IVCIbjdbtYyRtaRgp98Pg9ZlllDaavVYlWhyclJ1n7l9Xo53PV/w1V8dFHGxsZYCzltythqtWA2m+HxeNgTbTQaAYDdOIpWp6amEIvFsLe398KcLC1FZMFOViaUuT+aWstms2zpWl1d7el+obkRo9HIjodGP6m6QN0qU1NTCIVCrMnBbDazn1VG+nRc3W6XBTInAyOqWly4cAHnz5+Hx+Pp6fqmDpxCoYBOpwOv14vp6WmUSiW2SRB1dAcCAej1eu67k3IV3/b2NrvxwWAQfr8fpVKJ/Wk0GqxTI5PJMCtJwqP5idHRUVy9ehW7u7ts0xxytJUVCqX4lGkXEhU1AciyzKoI5XKZ7X5QLpdhMBjg9XpZt3KhUGD7QMdiMZTLZRaQqNVqOJ1OeDweVkJT7tJAx0fHRBZQmSskP4+S01evXkUwGGTdLfQe2t2AatterxcOh4Nt5auscwNAOp1Gu91m1R8ecG0s+Pzzz+HxeDA2NsaWJBp0KRaLSKfTSKfTbDfRbDaLoaEhDAwMsOI8tUpNTk7i+vXr2NvbY9Ex3UTy/SioIYtFKMVAJadsNouNjQ02d1ur1aDRaFAqlVi7k91uRy6Xw/Pnz/Hs2TMkk0k0m03o9XrU63W4XC6MjY2xGeKzdhCltFAymUQqlWJWmioVRqMR4+PjuHHjRk/7lDI1c3h4iN3dXaTTaXS7XTbXQbVjKt+VSiXEYjFsbW3h6OgI77333ptZ4fjmm28wMjICj8eD4eFh1lbUarWg1WpZwX99fR25XA56vR6jo6NYWFhgSw/1+jmdTszMzGBubo41LJD4yuUy2/rW7XZjZmamJ+pVQkv85uYmHj9+jN3dXeTz+Z5hoVKphL29PRZwJBIJHB0dsSYJEij5kMFgEHa7/YXzV/p6z549wxdffIGtra2eHUpp2Gd+fp61yStbr46Pj7G6uooHDx6w3VmdTidCoRAGBwfhcrnYthnKWZNIJIKdnZ0f+xa/FK6Wj+ZPad7UZDKxeiulEFKpFLM+nU4H6+vrLGt/6dIlNqtBw9rnzp3r2eKWIsF4PI47d+6wvruLFy+yjhnlEkjbdFCwQT4kHU+n00E8Hkcul+vZKIgiU+qAobaoWCzG9pWhKJd+F20mvry8jDt37uCLL75ALBZjx03+pd/vZxuJK4WXzWbx+PFjfPrpp1heXkY6nYZKpYLf74fVasX09DS7rmq1mh2rVqtlzRg84ZpqoRQEDWcrUyA0/V8oFBCPx5FIJNgmQPl8Ht1ul11gmkWgSf/BwUFsbW2xnZ3IJ9rZ2WGJ52g0ilu3bmF8fJyV7yjZS9vIKn004N+Wiv6mdit6WJR+mrKBgXwzSq/QzgGbm5v49NNPcffuXaysrLA0jXLJtVgsbICdImlqNl1fX8edO3fwz3/+k20NTH5xoVCARqOB0WhkGQKq5tBuppSO4QXXZXd2dhbz8/Nsrxbyt2gImlIS9XqdRYHNZhN7e3v4+uuvMTg4yFIOJBTam8/tdrMpLxIMDR/R/Gs2m8Uvf/lLhMNh9uUqGo2Gtagnk0l0Oh0cHBywhC/QWzumf1P0SoIJBAK4du0aLl682GOxOp0OKpUK1tbW8Oc//xl//etf2V6ByioOidfr9WJ4eBhOp7NnK5FEIoH79+9jcXERe3t77P3kB9KeM9SoSsdI3/B04cKFV+4h/WPDVXzhcBjBYLBnL2bg3xEefYGLw+FAIpEA8O8va8nlckxAHo+HRbDUK3f+/HlUKpUXdomim39wcIAHDx7g4sWLCAaDzPrRnMXly5fhcrkQDofx4MEDrK+vM7+OrCNZPuXMhsfjwcTEBC5duoRLly6xOVw6P8o97u7u4uHDh9jf3+8RHp270WhEX18fpqamMD4+ztq4aNSUts6l6J7eTxH2yMgIE70yyKHtPYLBIJvk4wVX8dFE2GlNkTQsNDs7i9nZWRwdHSGdTgMAK3PRVwAo66gWiwWhUAiNRgNmsxkbGxs4ODjA8fExs160rNJ2arQ0KtutaN4jGAzi2rVriEajbNd6SsMop9eos3p4eBijo6MsIj+tUUGn07EdGGgTI9p7hr7haGBgAOFwGPPz82yrM2WahoTu9XrZKIIkSXC5XCzwoqBKifJ6v9Hb4t6/fx9+vx/hcPjUMT69Xo9wOIz33nsP1WoVkUgE3W6Xbel/5coV9Pf3s6WFqgADAwNMhLQHczQaxfb2No6OjgAAg4ODuHnzJltyTwqEEsZer5d9iQqNUZK/R5ZPOWSkTCSf1WVsMpkQDofx7rvvol6vY39/n833jo6Ost0V+vv7Wbs/DUKRS+L3+3H58mW2F3M8HockSZicnMR7772HiYmJM0cjm80m9vf3cf/+/TezmbTb7eLLL7+E1+tljQMnL4JKpYLL5cL169dhtVqxsbEBlUqFgYEBhEIhVl9V1nupXchms2FoaAizs7Os7BSLxRCLxdBqtdg2aP39/S/9HjNaBqmx4LSOYPq5szqLT6LRaOD3+/HBBx9geHgYqVQKWq2WleAoh6nc8IgCBuqSUW5gefHiRezv76Pb7SIUCmFubg4ul+vMnGImk2EbbvKEq+VLJpNYWlrCL37xizO/YZIGrs1mM+bm5pjTrHSkAfRMigHoqWQAYF+PQA2ftJPBfzLH8Lrieh2omcHj8aDVakGtVrOgSVnzVXZnK8+JgixyDegrIUwmU0/wdhIKoJaWlpBMJn+Qc/mucE21/Pa3v2V+y1k3lSwP7Z5OUdtJIZxsJj35Os38UmXghxTSd4WqHmcdz6vOia4NjWBSIPSyDmVJkuD1evGrX/0K//M///OjndvrIL2it/+/r/Ff8P8bZz7hXDuZBW82QnwCbgjxCbghxCfghhCfgBtCfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm4IcQn4IYQn4AbQnwCbgjxCbghxCfghhCfgBtCfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm4IcQn4IYQn4AbQnwCbgjxCbghxCfghhCfgBtCfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm4IcQn4IYQn4AbQnwCbgjxCbghxCfghhCfgBtCfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm4IcQn4IYQn4AbQnwCbgjxCbghxCfghhCfgBtCfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm4IcQn4IYQn4AbQnwCbgjxCbghxCfghhCfgBtCfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm4IcQn4IYQn4AbQnwCbgjxCbghxCfghhCfgBtCfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm4Ib/ideknOQrBG4mwfAJuCPEJuCHEJ+CGEJ+AG0J8Am4I8Qm48X8BU22If1NPdVMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "algorithm = nlopt.LD_MMA\n",
    "n = Nx * Ny  # number of parameters\n",
    "\n",
    "# Initial guess\n",
    "x = np.ones((n,)) * 0.5\n",
    "\n",
    "# lower and upper bounds\n",
    "lb = np.zeros((Nx * Ny,))\n",
    "ub = np.ones((Nx * Ny,))\n",
    "\n",
    "cur_beta = 4\n",
    "beta_scale = 1.5\n",
    "num_betas = 9\n",
    "update_factor = 12\n",
    "ftol = 1e-5\n",
    "for iters in range(num_betas):\n",
    "    solver = nlopt.opt(algorithm, n)\n",
    "    solver.set_lower_bounds(lb)\n",
    "    solver.set_upper_bounds(ub)\n",
    "    solver.set_max_objective(lambda a, g: f(a, g, cur_beta))\n",
    "    solver.set_maxeval(update_factor)\n",
    "    solver.set_ftol_rel(ftol)\n",
    "    x[:] = solver.optimize(x)\n",
    "    cur_beta = cur_beta * beta_scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tGy5g8cwWzGlLmziIQZWDcML8GS3+QkwuWUwJj6myQDgchDFbyVgcKMlUm3jHS1UtXDJetnMQbpLmteDmQeghJmVcxhRWo4Ewprxa5cHrwcb1K208g8bPuHAQzOA1MtV1SOXSOtXfTokCx0DEHESMaYpGt0q855q5oABmqKs5Y2Fc/lIBY6UqRotVLOrMYE57CoNqiKlUlTBaqnJTXBkWOlSzOkEvlOOQ1D4e6DA8iJMDE9rfxgmHGbWOdAIViWrGg5fFtKG7C1/80PXaaz+FWm4ehBZiUif9QlnSjLyRd6iGJNa3obsLH1B7YgAWfsY1xKScn0YK9jFVYVYvkkoIKFXNx1qOiKSOOYgYoYKXOtjoVonbTw4CAL776dsxenwnstksAODPnzmA/FAB59QU10UzWzBRqmJwogxJppqhmO0QYgIUonpv34jj51boPQzsIaZm10GcGNDTMY0GgnkVs9pSGC1VMV6qghBlzO1pe5z7F29ajC/17MWXf3EVPn3PlZ72TSnFSNHFgzBwEATK5N/RkkRprORYSV2wCm/ViTmqrMrvvXcF/vAXrtXer0VSA41tGjSs1t2wc5VOCDaPNCqSOvYgYoQGp1CS0yQRVHBs24lLSCUE3Ng1w/R+16xW5C8V0KcWyS2amcGc9jQoBS5NlLVQkxNJDSghpv6xkmlicoNbiMlfmqsQggcxjnRCsE04rAZilhpqGytVDVLf9jVkQmQre+/jK1QkVCRak6RmWUwTZUnzCE1qrurfhACFSmMlLs6roUS+VLuTgWAcRAM9iIkKWlMi0gnlnKQSnBCTJCOdnMIGghDyHULIBULIHsN7XyGE5AkhO9R/Dzh8935CyEFCyBFCyKawxhgjXDiFkniNeeoRHNt28hLWLOnUHiiGLrUw7KzBg2DGYHC8rGUzOaW5AkqPZpnqFde14OxB+JfaaDQHcbx/AsvntCkGguNBzFZDGmOqFwE4GAiVS/FjwNyqqAFOmmtF0sI3phCTykG0pxMNr6Q+p9bK2DLQqtSlDkI5noYaiEJF4x8AFmLicBBT3IN4DMD9nPe/SSldo/57xvohIUQE8HcAPgBgFYBPEUJWWbeLMfnhNWRUj+BYsSJhb98wbl0+y/bZklkZzYMgRAkXMUK6f6ykZTO5VUkv6GDV1N6IaqdCOb91EOFwEONYNqcV6aRoimkzvkTzIIpVrpIrAzMQko86DTehPsAcYgKUhUS7aiCMCq7svM5oSTZczZVxTTwdrVSCn1I6I8M4iMaS1DNb9UXLtCSpKaWvAhgM8NXbARyhlB6jlJYB/BDARxo6uBiRwEvIyKox4xc7Tw+hIlGsXWY3EF2dGYyWqjh0fhRz29NIJQQtr39grKxxEG4hJl1uw5uBYBXJxswgQOUgfJLUjeQgZJni5OAEls9tQ0o0r0h1D0I5D+Nldw+CVWNbjaAbhifcPYhWTpprJplQOutxSOqOlsZ6ELJMtWvMq2FJOXgQmaQIUSANTXMdLpRNHkQ6KdrGVIrIQDSDpP4sIeQ3AGwD8DlK6SXL510AThtenwFwh9OPEUIeBPAgACxYsAC5XC7QoMbGxgJ/d6og6mN894Iqfjjkvs1oqRp4TFv7KvjePmWS/6Mfbscvr0ziphkl7feGzimTzdbD5zG7hSCXy2GkrEwwb+7Yi8EihUiA7T9/nSv/AABDJeXBfH37bqQuHqg5ptN5PePppc05bWIpVyX0nTmNXO68p2M7c7qMiiTbzk3QazhQkFGuyij1n4FUruBM3zntd06NqD25z58BALz1zm60qfPTob27QPvsq2eBAMeOn0Au1+dp/70XlGtxZN9OVPP235PV1Nr9h45i8cIyBocFzKDjIKA4fvIUcrlzyuenlIlYLo2jf4w27H4eKVHNYzudP4tcTl/bDo1MICONO+6rRaTYf/SkNkYvcLuO+f4JLG4TtM8HL5YwPCaZti+Wqzjfl0cud9HzPoMgagPx9wC+BkXG5WsA/grAb1u24T2pjksVSumjAB4FgLVr11KWweIXuVwOQb87VRDVMeqN3tmqMYFhh65bbWkx0Jh6evP43ku7wX72Uonie/sl/Pr1aXzhQ8rvzTo9hL/bsQXDJYq7rlmAbPZWSDLF729+BrMXLUVpuIh5A/247777HPcjyRSfe+VnmLlwKbLZ2hzJU+d6gbwyad51z7vQ0ZKELFNIzz6Da65ajmz22hq/oGBH9RDo0cO49957TcYr6DXceqQfeOVNrL+7G28O7kPn7FZks2sBKF4Ytm7BLTdehx8f3o2lV1+LztYksP0dvPuu23Ddwhm230u++DMsvuIKZLPX2z7joX/7GeCdnVj3rruwdE4rd5vUSz/D/K4r0J45D5KQsHzJPOy9dBaLFi9BNqtEmY+9fhzYtw9LFszF4QujDbuf9+SHgc2vAwBmzZ2HbPYWfVzbcli8cCay2W7ud+e8tRkzZnc6fs6D23WsbHkRK5bNRzZ7EwDgucHdODhyXtueUoqqz/spKCLNYqKUnqeUSpRSGcD/hRJOsuIMgCsMr5cA8LZMidF08Bq9l6sUv3bnUlvzFcCuMeMVTgT4E4d0V79rlh7iWqgK74kCwezWFPrHlRCTW5Ec235ee1ojMGuBJwvBirt8cRCExfkbE2Y6odZALJurkNTcEFMbI6krGgfRluKvIRMCMclw14LGQWSc16SK5DfLYqoikxKREM2aVOzvRoeYjCFEvzpajRTso5RiaKKMTgMHoSQV6MfKrlcUct+RGghCyCLDy48C2MPZ7G0AKwghVxJCUgA+CeDpKMYXo344TdybD1zENz62Gl2dGa1j28xMAktm8VeTteBEgA8U9UlrTlsKLWoq4OJOvT3mnPYUBsfK6B8vu/IPDAtmpHF+1FuxXLlq5B3MhLWvOgjRf6aQG04OjCOVELBoRostbZKluc7MsDRXSeMgeCQ1oKS6Bsli6nAgqQGg1dCXuliR0ZIUFQ7CiaRuoIE4pxqIeR12WQulDsI5RXlGS7JhJPVEWUkHNnEQVoOu/j2lxfoIIY8DyAKYSwg5A+DLALKEkDVQQkYnAPxXddvFAP6RUvoApbRKCPksgOcAiAC+QyndG9Y4YzQWbkVwG7q7TGT0vY9stj2MXuHU22BOi/4g/2RHn0Zq/n3uKOZ3tGBDdxdmt6UwMF7C4HgJVzqEOxh6evM4eG4UxaqMex5+uWbvA+PqU0t5rTIPwp/UBtAYD6KnN49/+vkJlKsy3v2Xm9GaEjAjoxtGbUWaFNCeTmCsWNW4EyeBwYRPtdmRQgUdLQmb3LgRLSmlb7gkU5QlGa0pUakHcSCpWf8IJ/7ID84PFyEQXXvJiFopyh0tCZwanHD83A9YCnhnqznNtSzJ2rEyYzGlSWpK6ac4b3/bYds+AA8YXj8DwJYCG2Pyw0ujd4akKPjKhDFi4/qV2PTkLhQNip6ZpIiPX6uEsVioi60+L01U8NCTuwEoaa37+0YwMFZ2TXFlv1FUH0hW6AfA0UiYQ0zmmgh/UhvKtlKdMtLaMVT0YxAIsHgmf0XalhYxXqoilRCQEgXHSSghEl+Fcm46TAwsxMQKpDNJ0bYfllrblk5o/SNaGqBqem6kiLntaWSS9pTSWkKLHS3JhlVSD2lV1OYQE6WKN5kUiTa+aRdiijH9sXH9Stuk4lQElxTtBUBesaG7C1944DrtNauluHuxMgm56T3NaUuhb7iAibLkykEE0YzicRBshe6Pg1D+9xPn54F3DDLVQyrGcaYSqgehFspZm9QY4bfSe9iLgUgmMFGuoqSOpyXFCTGpkyTjsxrVl/rcSAkLZrQgKdplLWr1E5+RaRwHwdKBrR4EoBvycoQeRGwgYviGm1T3hu4u3H+D0syecQ1ORXCphGAjBP3gvdcr4mp/8fHVtloKt1DXnLa0tqJ2E+oLohlVlpw5CD8hJpHJWdQZYnIaq/F3y5IyySZFq4FwDjAoK3t/hXJORXIMGeZBqHO+4kEIZpJakpEQBIO4X2MMxPnhIhbMaLFVmVNKXesgAMWDGC1VGxIO5IaY1HuBLaaYAZvSIaYYkxtO/Xe9fO+hJ3drq1Je2EWiimHYsmmd62+lRFKXgWATVEKwPyhuoS4jMe0m1OcnXMZQUSUQypKsPciVAB5EozgIp2MwzneskjqVENDeohiItOpNOMFvpfdwoYKr57W7bpNJijhb0Q1Eq+pBVCQzSZ0QiVZ53ahq6nMjRdx25SwMjJVN96QkU1Dqfu2YHtNYybljnlfoUt+GSmq1ipsZrlIlOpI69iAuQ9TTj8FL2GXn6SGsuaKz5m/xRMj8QFuZc1ZSG9evtKXVslCXUXvJLYvJ7TecxySjVQ3NMHI6iIFgZG69HASvhaUoEFP3s5I2PoK2VALjpSq3F4QRSUHwxUF4CjGllCwmFmJiHITRSEoyRUIgNu2melCsSBguVLCQZXhxwoRu/NEMTY+pfh5iqKBwEEYPIm0NMakeX9xRLkYoqKcfQ62wy8BYCWcuFXDzFbXrGxSSug4PgtUXcDJjNnR32dJqWajLSEzPdfEg2G/MUh/WBTPSNTWjKpKs1Q5odRBB0lxZHUSdHMSG7i780ft1g9bVmcHdV88xZf4wQ5YWRbSrOf1jJcnVQPj1IEaKFa2/gROsISYlzdV8j1RlGQlRaKgHwWogGAdR4dSI1MpiAoARh2JQPxieqCCdEEzEOwslMf2s0nRIc40xeVFPP4ZaYZddZ4YBADct6az5W1ZNIL9goZGEw4NiTatlMIWYatRBbOjugigQ/O7jvfjBf74D18zvcB+TRLX4OFvpBQoxaXUQynf16vQCut6onW5rRHblPHz9mf34X5/qxi/evBjfeGY/3jquS0noWVYE7ekExstVZEoiugy1I7zxeRXrK1UlFCuyFopxQiappLmWJOXYW1MikpYspopEkWywB8GKIBfO5HkQbDJ2qYPINNCDmKiYvAfAaCBikjpGBKinr7Bba0YA2HF6CAIBVnd58CDqJKlZhXLCB/kL6PLe6YSANg+N5tnxeknJLUsyWtWVNyuaC1IHwUJMMqW26nS/LVqtq2BWeMVaixrTXFkdxHip6lhFDcCWXeSGWlLfDK1qHYRGUqdEm2hhVWq8B8EyuhbOaLEpp5arPjyIBmQyDRXKJv4BMISYJLOBiNNcYzQcPb15jBTsvQ289mNQspT4rRkBYNeZIayY3+EanmBIcVIK/YCtLJMcktoNm/dfAKCsyN71F5trTrSMBPcSc1dCTKL2N2CYoP3UQRC9krreFq16GitR/xdM71ckGYQoRqktnUBV7bbnmsXkg4MY0WQ2aoWYlNqGsYrOQSRFwdSHuiKrJHUDPQgtxKR6EBVOJpo7Sd1YD8IaitM8CJWcnhaFcjEmD4zhCYIdNuXD9nQCf7bhRs8hCyaBbWw5qezjAPJDRbSmRPT05mv+XkoUbL2b/aAq+V+Z9/Tm8YUeXeHFS/Ebk72oeAipVKqyJl1dl9QGa8oj0bpbtFonuZRhRZpKCCipef6EEG01XKrKrllMCR8ZaEyo0YsHAUBT3NWkNoyFcpJKUjfSgxguIZMU0ZFOKIVovBCTy2Tc0cCucsOFCpbONlf3N9ODiA3ENAIvdRWAKS2VNx2nEoKvfgz9aqMd9uBaU18nylLNSRdQYt71hZjcOQge3FbjTmNlHoqXlFNjH2dbJXUADkKSaaB0W9OYLGESZqjKVRlIK1xOWn3PGFaqRVIXKg32IFSvYFQ1EK0ppQ7CRlILAlqTytjqrYPo6c3j8bdOolBRvMnVXTO1Xh6iQLQwodu123xA8Ui//PRePPrqMV/8kBVDExXctMR8ntKWNNco6yDiENM0gVPq6lf/fW/NVRZrnOMVrP0mW1EHDYGkRHsjFD8IEtsPshpPaByE+1gppWYOwhDC8TtOo9RGkHRbI5gh1T0I5bdYVkxFkrXwV7uBSG53qaROit5DTF45COYVjFo8CGvjpaRI0JJSxltPJbW+sNFlSF7cf17dj9m4O4n19fTm8aWf6FJxfvkhK4YKZiVXZd/mLKYoxfpiAzFN4DRJX5qoHRft9FncY/UggoZAkglSHwfBSGofHEQQgp5N7LUmREbaahyEJeskqNy3Nd12TlvKV4vWimVCseXVG/obG8NKjUpz9UNSA4qBSCUEiAKxqcayNNeUKEAg9XEQvGeG7ctrkWO9/JARxYqS7WU9TyaPD3EWU4wA8BqP5mHddfN8ba8bCOVGDZoVlRZ1lUor3OQ8GIJIWARZjbPVfC31UvbgOnIQPluOArpR2tDdhT/+oNI05y9/6SZfIQxjGqtxHJrarCRrn3k1EEkfUhuePQhDiIkZi6RgDkNWJSX0QwhBaypRV4jJVTLFEs5xMhD18kNGDHF0mAD79WKeRNqhT3YjERuIaQKnybiT06CFTaeL1SY6KxbM8LwfSc1wAfTQRdAQSFJUVCqtsX2vld7VAI143AronJAQvHkQbCJrazAHwcCO168CrnWSs+bVM5JaGbsxxOTmQQieZUBGChW1psH9+LUQU0U3FrY0V1WsD1BCUPWQ1K6SKTYdLf7Y60kZt0KrovaY5upnYRQUsYGYguCtrv/oF6619WrNJEV8+l1KlhELT3R1ZvDNT6zBiYc/qGkl+XnILk2UwZ5XtoJkky6bULxMuoA5m8YIr247e3j91kFs6O7Clk3rcFw9B7XGySaHWiEVdhyZVCM4CLvUBjteP30YjN9LcbKYAF0/CtAzcgB3DyIhEE9ZXT29efzLW6cwUZYcPUEG5nmNlqlmIBIWSXgm1qdsL9bFQSgLG/MUyK6RtZeHU7y/Xn7IiFoehJbmqmafNaIPRi3EWUxTDDyxvP/xr3rqaltKxHhZgigQ/PlHb8SJgQkQArz0uSx2vb3V1AeXECWf3M9DxsJLgHklu6G7C7vODONH207XFOljYBNvpUoBw6LJq9seZGUeBF5JanY+0mqM3FYHEYiDMCuZehmHfVz2QjlAn3Aq6oQDWD0IN7nv2i1HvQg7GsHCSjKFJjWRtLQcZSQ1oEzEE+XgqaUburtQlWT80Y93AVAWNu+9fj7++ecnOb08+JMxO46NP96JikTR5UP40gpmIGwcBMeDSEdAUAOxBzHlwFtdGx9TmVJ88vYrIMkUV85rR+7QRay5otOx70HG5yqsf1TPeLJOVAqB6H1Vk3TwILy67Szkk+BoMTUSSY+FclpWVYIgKRJdrM9DqqQVVg4C0D0YvyEmqwdjC1lIugfRmhTBFqa15L4rNTwqvwSuUX+IGQvRYogUsT5lrEoHuuBJDgDwgdVKF+QvPHAdtmxah7uvngvALq3tdu02dHfhhsUz8e4Vcz15pE4YVkNMsyzPqlXuu1SVIyGogdhATDnUIr8KFRmvHLyIVELAd7ccx64zQ8heO99x+5aE4CsTxOhBWCdMRYrZ+y3FVkFWA8Fz/XluO5v4/OwzCPT+0LU8CH0yMcqIVGUZAoFru00r+ByEGmLyy0FUzecpJZrz6itVvWOaIBCtFqJWJXUtDsIvgdtqkD1hfIS9klrWrkdrUkSxzjoIJ+/Kr9BiykfarxN0qW+zB0EIUQoaDWmuURTJAbGBmHLwQn6dGy7iugXt+MmOPlAKfP/Nk46xX9YH2CuYgehoSdhi0BXDStQLmNtesdRCbOjuwkMPXK+9XjyzhctpsAkz7HxwphbrlYNIioLamUxPmfQbBktwOIiqweD4gSMHYSSpDRMO45LctJhEoXYWk18C1xjLZ96EtZK6qor1AYoRmajUV71ctiwy2HUyZngZ33eCn8pyJwwVKkiKxGQoGdIGjajydPAgCCHfIYRcIITsMbz3CCHkACFkFyHkKUJIp8N3TxBCdhNCdhBCtoU1xqmIjetXoqXGzTEzk8SBc6Pa64ujJTz05G5s7bPXRPjlIC6OlZASBcxuS9lWTIqQmvdVsraS5TxYqxbpmVXP/+G9XLddaxgUcjYHmzxqZzHpE7GRg6hUqW8jJhC7B2Fd1XqFNcSkx7TVQjkDSd3Tm9cWAe/5S2edKoUbcB+HXwJXEIi2MmaTJBMFZKnQTKyP/Va9Wkz6NbPqVFkNhPs9Vq90PaDqMGVSXPI5nZxmBgLAYwDut7z3AoAbKaU3ATgE4CGX799HKV1DKV0b0vimJDZ0d+GX1y7RXvMylwgxt74ElNjvE4f4BsKXBzFaxpz2lFJJa/MgqC8+wJoxYsTx/nHtb6eVajkiDsI7SW30IIhpkvEj1AfwBQLZ+fbT6pPtnxhCXHySmmikMpv43aqCRQ89qVl2G9uvl+w2ZhiMWUyAbigrhjRX1j+iHlhlSKz3pJZSWuP6JS3ZVn7R05vHU71n0D9W4mZ7GaXxmYZWFAhtL5TSVwEMWt57nlLKfMI3ACyxfTGGCbyUVgolW+nI1z+Ab35ijS2nf8ihenqgaL+B/T5k/WMlzG1P21pBAupE6GOl7JTmCgAnBya0v52qrZWURxJ6ul/CY4jJKP1hXFEq58XfGEUeB6Glufqvg2BifAAnK0YNDfohlb0Wym3o7sL8jjR++dYlnghcluqqhZhE87lnGkmA/8UND25Chsrn3sKYyTpCTMwwFw2SH1bDbOy+WKpKkRTJAc1Nc/1tAP/q8BkF8DwhhAL4P5TSR51+hBDyIIAHAWDBggXI5XKBBjM2Nhb4u2Fha18Fj+0po6zed/mhAj7/ox1oSwJXdoh4/bVX0Qng63cKANqUjYYPY3YL4RqDWWlqO8ax4SL6C/b3nXDiXAEz0wTFEsV5acL0vfMXiyiWvP/WvgHl4X572zsYOWa+4d/aX9T+fu31rZiTsT+gx06UIcC8vzCuI5ucDh85ihw97bjdrovK2mf3rh0oFcroO1dALpfD6XwJUkXyNa5LReWi7ztwALnxowCA4yeV0M+hI8eQI2c8/9bxEyUIVNb2P6GK7O07cBi50gmMjhcwcLGM/BA/np8fKtjGfvqUUg/z8ubNWjjMCeOFIvovnEMud6nmWGlFue4Xz+aRy13EyePKYmfzK68ikyAolMo4f7YPudwALp4rY7xYqet6nxxR7sFDB/Yhd+kQ8mPKed+xaw/SFw/g0BEls2jr66+6HuelgSJGxmTPYzHep1/LTdiEDwsVCV/7yU50Dh8GAFRLBeTPlZDL5XBxoACRIJL5qikGghDyRQBVAD9w2OQeSmkfIWQ+gBcIIQdUj8QG1Xg8CgBr166lxjx/P8jlcgj63bDwxYdf1owDQ1kGyiXgt99zNbLZFdzvfWmmOf8cUFZbv7xStB3jk2d7MZwf9nzsxa0v4val83Dk4hja0wlks3don3376JsQSlVks/d4+q22E4PA2z/HqtU34d0rzHIff7X7dQBKd7q1t9+BZXPabN9/ZXQv0ufOmMYexnWklALPP4Mrli1HNnut43aVfeeB7dtw521r8e/5PZiRSSKbvR1PnO3FjLL3cwwovBFyL+LqFdcie+cyAMDLw3uAkyexZOlSZLPXef6tl4b2IHOxT9t/sSIBLz2LK5ZfiWz2Ggivv4ArlixE1/hFrmpsV2fGNva99Ahw5CDe9e57a4Y7aO45LLtiCbLZG2qOdc7u19E3PozrrrkS2ewKHEscBw7uw11336OI2L30LJYvvQLZ7Cr0Vg7h2ROH8Z733AshYJhx5+khYOsWdN+8GtnrFuDkwDjweg4rVl6H7C1LsL18EMLRI1h3332uv/P0hR04XRj0fI2N9+ngsz/lbjNYpNo2s3a/jhntKWSzt+Obe15HZ6vyd9iIPIuJEPKbAD4E4FcpT4QHAKW0T/3/AoCnAIR/JiYh3FJab79ytuNnTnISdy+2a+G0JAXPbrosUwyMlTG3I42kYCflfIeYRDMhyEApxYn+ca12w8l197u/oCCEqFk73qQ2kqKAtKG3caVaRxaTqTdBsDRX63my5tUzsT4/pLJW6e1JAt17zJylt+ppruZufkysz7hNsRo8zGQNMVmzmLxmoKXqIKm9ZHsZW6FGWQcRqQdBCLkfwP8L4F5K6YTDNm0ABErpqPr3+wH8aYTDnDRw6gMAADdf0en6XV4/5lzusG07P3HckWIFVZlibnsayQTRSE6GqkSRTnq/cfWH0TzJDI6XMVqq4vbFs/HW8UHb58b9hU1QM4gepCWMGS/G82MUw/O8P9HOe1QtcXGvUKqP9esiCMTUWrMiUVNPEGtPER5vwM57RZaRgXs83Fj9XAuMpG6xkNQaQS/raa5s20JZ0rgLv9DSXAUzB2HKQPMwGSfF2qS9EzauX8n1+I2G2Xi9osxiCs1AEEIeB5AFMJcQcgbAl6FkLaWhhI0A4A1K6WcIIYsB/COl9AEACwA8pX6eAPAvlNJnwxrnZMbG9Svx+Sd22bJ8RIHg2T3nAldsGtHig6Rm6Y9z21NICALGZPP3KpLsqdUogxNJfUIlqK9d0I63jg+6eBA0Eg8CUGohaklLGGW9k6KAMbXDWD11ELLByWardf91EPYJxUh6GiupeQsLt/HVOies+Q5Laa4F5sEYxfoAZTEgyRSU6uq6zIhMlCXM8fTrdljbsSat3pUkeUpRThgq5/2Cne8/+NcdAMCV60gnBYyPV7WxRVUoF5qBoJR+ivP2tx227QPwgPr3MQA3hzWuyQReBzjjTbGhuwt7+4bxf187bvqeJFNPHdu8IJMUUarKkGVaM457UZXZmNee5max+FkpAoYQk+XBOjmgpLheM68dgPOE6Ffaox5Y+xLwYJT1NhbKBQmFMULUuE8mbRGkDsJ6XZSQhaRN4H7HJ7Jr59Wr8uhBsbBRqyXEVJWpoXJez2IC6msaZE1ztVVSV72dm3r7q39kzWL8wb/uwO+uuwafe789pGfyIKRpYCBiuBsAr0JmTqGkWm0yvUJ7yKq13XTmQcxpT3Ob1lflxqS5nugfh0CAq1QD4RZiisyD8JDGaIxnmwrlJGqL7dcCb4WuVVIHqIOwnic24fidwBmSHjkIrT2mx+ukhZi0QjlWDyJrxpIZDS3EVI+BqMFBeA0P1hNiAnSPpcXhPjF5fFV/igX1IJbaCAm1ehp4zTl3a4hST5MghowhjlsLphATZ8L0q8WUdChAOzEwga5ZGVtfBSvKah1EFPBHUhNboZxfT0fk1F5UDB6JH5Q5hlTR9pF9T+C28XkVMPRsIJRFSsYgtQEo50GrnBcE0zb1NA2yivGJgpKQYFTi9TL2hEg0bywIGF/lZCDSCdGcVDDVC+Uud9QyAF6FzNwm7iBNSaxoSTAPovak0z9WgigQzGpN2UTUAHW15aeS2qIJxHByYBzL57Tpq0enEFNEWUyAMin51WIythz1O06WOWXkILSGQT4noQpnxZlWV6RB21d67ZFRq+GOET29eTz+1ikAwO8+3oue3rxJ5oTtixnblgZ4EMzAGc9PUiSGQjlvq3VNuj5gmIkdQ4tDkgcz6EC0hXKxgQgJtQyAVyEztjqy3jhBm5JY0eLHgxgtY3ZbCoJAbCJqgP+Qj9Zrl+NBLJvT6pjlpO1PppFxENa+BDwYZb2TCTMHESQkIBJiyWLS9Yj8gBcmYSGLSp0ehOSRg6hlgJjHPaoS+0w/7O0TA8rvyLJB3t2s11SP3AYvxGbN8PJyTyc5WWd+wHiUFoeJXzHoEqqSDJlG048aiA1EaKhlADauX2kjDnmTfqFcBSHANz7qr02mV/gh+pjMBmDv9AX4D6XoJLXyOz29edz1jZcwXKjg33f24bXDF7Tf5UHxWCLyIDzIOVckWQtRGDkIY5tMP7C229R+r846CEDPqw/Sq0LZ3lyf4IRSVQ+7ucHJ435iuxKSlTgk9euH+wEA//0H79TsVueEiiVsBZhrDrzKpOjNr4J5EKyWI8NRcgVUAyEZQoIxST21sXH9Svzhv+2AcUFhNAAburvwnS3HsOvMCABF0vrz919nm/QnyhIySREfvWUJPnpL46WrmIGo5ab39Obx6uGLqEhU0Yaa28oR6/MXSmGeSFmSbKT9cKGKv35BlRlwDDH5q7uoBwmhNkldNkwmJg4iQIiJ7ZPbMMi3FhM1TYCALv7GFF39igmyVNNaMXevHoqTx631P7eQ1D29efxPA19Xq1udE8qcEFMqQHhQMxA+U5AZihoH4R5i0kKCMUk9tfGRNYtNmSvWVX+xIuHw+XG0qSuGp37nHu6NPVGRuPrwjUImpdwCbm46m7zZajE/VMDPjw2iUDJr9wRZKTMVTN4Kkq0+Kw4hpook2ya+sJDwIG9tnEyMYn1lifqegAHFgMq8fhABQkwpTohJmXCC9dQIonDrBiePe067Uk2v1EHoq/1Hnjto483cutXVHJ/h/CQtHoS3QjlvHpUTaoWYUqIASoFx9TmNQ0xTHMf6x7WL+ccfvN6mZPnqoYsoVCR86KbFAICRAl+BtVCWHN3ORqDFgwfBm7wlmaLEDTH5u6VYLNwtI8spv9xv3UU98EJSG7kGZvgopYE5CKUXgn7sQTvK8Ty7dEJUSGotZOHvPCY8prnqE7D78TvJfPz6XYoOVVWWtck3IRDf3eocx8fJsjIr8XrlIOoLMbHnK+2S5goAo0VlnojrIKY4tp0Y1P42rs5ZbUR+qAACoCOjXIJhBwMxUa6iNRneZbJyELzaDS8PnTIRUl9ZTADUgjLZVVbEaZValaPzILzIWxsn4pSh4CqI3Ddg5yCYYfBbkMULcTHSUw8B+VuEMJK61orZq4dilPnIDxW0auJr5rfjmy8cVrKYmIEQBcf7xW9mn85BOJHU/jgIv1XuDKUaWUzMILDq/NiDmOLYduISZrUmkRCIRkAZayMARdP8ez8/CcDNQEhaplEYaDEYCKfajc5Wu8gfA9NblORgZGdKJChXZe4Kkj0sTivmqhRdFhOvMNAKpmkEmGs8gooKJqwktaZH1Jg6CIWk9kYiW8F+z3OhnAcPZUN3F7ZsWofH7m/TPG5jPwh2/AmR+O5W54SKrHT7M/YUMWagea2D0BsNBQ0xKcfmVFCZUkNPo2pYN+5JPcWx7eQl3LpsNlqSIgqqZrdbnN3JQBTKElp9VuH6gUZSlyXHTBJK7SubhGUFWTGs7vwglVDceaZAy4rjujoz+LOP3AjAJcQkR1dRmhBri/UZSWothbcqB9aMEgSnNFf/IaaUxQCkRAGlioxSwKwYzYOomfrrr1DOCuYhViRZX4QIgna/sKMKmtmneFfmc6P0f5a0/UZRB6FxEDVDTLEHMeXRP1bC8f5xrF0+Cy1JUfMg3EI1bh5EuCQ14yCceYDhQgVf+IDef6CrM4MHblwIwFi8FXwlyh6qDd1d+PDNXZjbnsaWTevwMTVryzHNtRqlB0Fqx9uNJLX6AI+Xgz/Q1n3qaq71S22kk1YPwmeaK8ti8iGBHgRGroP9FjNOG7q7MKsthV+/c5mnbnVO47MuapIJvVuiVy2mekNMhRoGIm3jIOJCuSmL7SeVzlm3LZ+FlqSAospBuMVHHT2ISrgkNbvxChXJtXZj3fULAAB/+fGbsGXTOty8dBYAe48C3yEmg8YMoNR9MIMoCO59GIy9AcIGr+7DCmPGCzsPrNAxKAfBE+vzW4zF64nN4uxB8+p1KZDaXlWQ32fQQkwGDsJ4Lutp9amMjxN+s3IQHsJjiQaFmNzSXIGYg5jy6OnN43P/tgMA8Lv/0otKVdY8CKe4aUokGCnw2z1OGCbMMEAIQSYpoliRXOO6VkkGrXLUsqr1u6I3qp4CiqEyHq/bBBCEFA8KbyS1PtmwsMS4GjMOxkEIkDkehJ8Qk5Y8wOMg6qik9lo57LWns/N+9PqCqsZBmDOO6lFR5YXfzCnK3hsGsd8LgppprsxAqPdTXAcxBcFI3rGSGlIaLuLCWAnHLyry1SxuyiZhFjed256uEWIKN9kso/aE2NDdhT//6I3a+8a4rnUlqOskmQXk/FY2pxJ6vBdQSfmk0UA4TwDVAGm1QSF61GLSC+WsHkTjOAg/EyL7vo2DSCjHw1au/gvlvIn1levkIERTiElPc2UwrvaDgOtdJcwehJfVurWxkV8UqxJSCcFRcj/dJA4iTnNtIHgkL6XA0f5x7fWG7i48s/ssTg1O4Nk/eA8A4B9eOepKUocZYgKAloTedvT9NywEsBPt6QS2bFqnbWOVZNBdavOq1q9sdEo0tzwtlK0ehHP2UNQNg2pqMUky2tWGScxQ6B6Ef0/HMYvJh4Fw4gDYBDMecEXqXawvGDel7UcjqSk3U8642g8CRyl0Qx2EN5K6vhBTqSKjxWXSZwZiROUg4hDTFIQTyWtd4Vh5hZmZJLdQrlxV5AXCzGICFME+5uIOqeOwjplJMthCTBYPwm9dQlJNc2WwkvKuISY5WH1BECREb3LfWqFcon4PwspBSAEK5Zy0lhjJqa1IQxbrC1JJDhg5CD0cJho9iERtbsh9fM7hNz/NlFJ1ehAFi+ds/33lM8ZBxGmuUxBOJK+1Z0FB1VdimJlJcj0IVmAXtgfBOAgAuKRq35QlWatxAPR0XPYgGBu5AEZZZ58eRMK8AixWJGQMITWnEBNrPxmd1IYHkrrK4SDK9XAQROMgGJcA+NP7KTtM0FYPwq/np0ttNLZhkBXGvhhhkNRuHISfDCwWYgrMQVRrGIg4zXXqY+P6lTZjIBJiKzSzrpKdDMRERbkZQucgkqJBJE8fh3FitvfuNU8QVdn7w2RE0hJDVsQJ9d9IOUzMQUnxoPAaYkpqHpaaHVY3B6Hsk1dR7QU6CW3P9QeCk54Jj2J99XIQWihLos4kdZ0chJXHYh5E2Ud4THseAmcxSa5dB9MWkjrts/I9KEIzEISQ7xBCLhBC9hjem00IeYEQclj9f5bDd+8nhBwkhBwhhGwKa4yNxobuLqxa3IGEQDRZ7tuWz7KtcgsV82phZiapxRaNYOGJMLOYAJ2kBoChCX0cxolZV5G0tIJkdRCS/eH1AqO0MsCytnSDmHDIHrK2nwwboiDUzPm3qrkCwHiJhebq4yC0ZjmC8rfRu3NDLQ5irKTIyYs+s8F0qY3aRpNJoAeBKBAQotxn2jW3hJjqymKq2vW8mI5WxZK55wYti6kONVenFFfjGEanEQfxGID7Le9tAvASpXQFgJfU1yYQQkQAfwfgAwBWAfgUIWRViONsKCbKMtZdNx/HH/4gtmxah5ULO7Q0VwYrETsjk8REWbI9bFGFmFqSIgpqNstQoay9b1yZWdNcrSEGLcTkcyIw9k0A7PyMEwlZb4WuXyQ9VFJbxfoAxeAZX/uBkYNg50AtNPdcC+FkuI0Gwio14QVsUq0t1le/oKIita6HmIzGpl6SmpfGyoyOtR2p6xgbINbnJNTHxgRMoxATpfRVAIOWtz8C4J/Uv/8JwAbOV28HcIRSeoxSWgbwQ/V7kx7lqowT/eNYsaBde6/FsDpnmChXbRwEYC+WY2GfsD2IFgMHYfQgjAbCmo2iu/7WLKbghXJK3Jeazo21TkIbDyfcECa8kdQGDsJSSV0vB6G1xvS4cmfQxfIsISZD4VWgbnecntn8/dcvh5IQBEiyzDV2Su+Gekhq+/jYufKTYFCv3Hep4s5BaGmupSoSdXhkfhF1musCSulZAKCUniWEzOds0wXgtOH1GQB3OP0gIeRBAA8CwIIFC5DL5QINbGxsLPB3GfJjihtcGTiDXO4cAODcmTJKVRkvb94MQV2lTZSquHiuD7mc0hEr36dMIi/ktmBRu34z7r6ovH9gzy5I+fqNhNMxDvWXMDQqIZfLYffBkvb+q1u2Yn6rMp5dZxTD8c62t3AqI+DgoPLwbO/dgcIpETvVse7a0YvxE97Her6vhEKpilwuh4mK8nD1nTqBXE7pDjYxVkBpHLZxDxSUyeLY4UPIFY/XPMZ6ceZUGVWZYvPmzY6r7UKpjPNn88jl+nFuXB3fqT4AwJ6dO1A85e8aXhosYqhEkcvlMFRidSYyAILNr7yGtmTtSeLYsHKdDuzbi5Z+vVfC/n7l/fODw4As+z5nrE/FkaPHkCNnHLc7eboEyFVfv2+7hlTCiVOnMZxWjveNLa8jrYbsLg0UMTzqf/wMQyMTaJHGTd8/fVK511/d+iYA4MjBA8iNHnH9HbaIOXjkCHLyqZr7tR7jwNAEEhXB8ThYFX25KiMt2p+HsDAZ6yB4d72jWaaUPgrgUQBYu3YtzWazgXaay+UQ9LsMz+w+C7z+Dj587224sWsmAGA/juInRw/grnveg0xKRFWSUX32Z7jumiuRza5QjuHABTy6622svKkbtyzVaZninrPA9ndwzx23YdXiGXWNDXA+xs3De7D7Uh+y2Sx+enEncEJ54G9Zexuumd8BADj9xklgzx685113Y35HC2acugS8tRWrblyN7Mr5KO89B2zfjjtuW6sduxe8UTiAzWeOI5vN4vxIEXjpJaxedS2ydyh9AB49/AYqkoxs9m7T904NTACvbMYNq65H9la9014jriMPu6XDwNFDeNd77nVcUcov/gxXLl+KbPZ6nLk0Aby2GR2z5gB953HHbWuxeon38wIAj5/ehuLABLLZ9ygp1JtfVittZdx5192Yo7Z/dUP7iUHg5z/HLWtuxnuunae9nzk2AGx7AzSRRluGBjpn5PmfYsnSZchmnRVUf3pxJ9pG+n39vvUaZl57AQsWLcTCGS3AoUO4L3uv5qE9fWEH8qXBwNc8vS2HxQtnIpvt1t47njwOHNyH625cA/z8Ddy8+gZkVy9y/R1JpsALz+CKpfpz7QbrMYpvb8aSRZ2mcRhBKQWefwYAkEknQ7nHeYg6i+k8IWQRAKj/X+BscwbAFYbXSwD0RTC2unH4/BgIAa6ep4eYWEYOC+GwsJExjDLDIcQUFUltDIMNGcZQMoaYLGmuSS3N1UyiBtJiUlNqecdbK8QUXR1E7awdY7giZa2DCERS69XbWojJJwfhFEc3chBBxgYo94CXQrl6eSLWF0Mn6htXSW1MLNB+05oC7GH8okAgkPqkNpxkNgBFEoeNKyqZDaCGB0EIucXtc0rpOz739zSA3wTwsPr/TzjbvA1gBSHkSgB5AJ8E8Cs+99MUHL4wiitmtZpIVmPHtlngE8+Mg7AWy0WWxZQUUarKkGWKYacsJqvUhlYoV58WU8oQu9XOjYmD4Gcx1asS6hfG/g68WHFVkiFTfTyN0GISjRyEzAw0tHF4gTU9mcE4Cc5pS/keGxufN32q+ox40kBSCwQmOYqGVFJbsgzZtdL4I4+8WkIUAmcxKYVy7vtJq8Ywqj7sQO0Q0zYAewFcVF8brzQFsM72DbYhIY8DyAKYSwg5A+DLUAzDvxFC/hOAUwB+Wd12MYB/pJQ+QCmtEkI+C+A5ACKA71BK9/o9sGbgyIUxrJjfbnqPGQLmQUxwJkEnAxFloRygFOsMFcroSCcwWqrys5i0LB2nLCb/HoTyfRkFte7DWijHmwC07mJRkXU1tIf0QkFrFpOa5lpnFpOmqeRRA0kbl0O2F6ukrkeuxFOfbknWmt0ERUIUlEpqjnovS0kNiopEbR5UWjOe/pR46yHMi1X+wsP0+wkBKE0iDwLA5wB8HEABSjbRU5TSMS8/TCn9lMNH7+Vs2wfgAcPrZwA842U/kwVVScaxi+O4d+U80/vsQSxYQkzmNFd+21HdgwhfrA9QDNLQRAXzZqQxerFqy2Iy5stb6yDYStJvuMLYaMUpxORWKBeVByHWyHO3FlXZVqEBDYRkSXPVQ0xePQgnA2HIBAoqg+Eixc6gZDHVn+bKKqmtadT110HYQ2DWFGWvE3JSrF1MyYMsU5S9GgigboPrB65HTin9JqX0XQA+C4UXeIkQ8m+EkDVRDG4q4dTgBMqSjBUqqcugexDKjcMmQWMb0XRCREtSsBuIShWphBB6ShuLfU6oBmJBRwsAXX8J0NMVWQaPvQ4imBYTu+nLVZnrXSUsWk0MWjw6wkpqwJmDqFhCcNZCuaBifboBVvab9ikKV3HghoxGIeiKNCFGw0GwFGNJpvZ6DlVqw2vhoBVlbpqruWrZ6/gTAcNdjOurZSDSmoGIzoPwtCdK6XEofMHzUOoUrg1zUFMRhy8ojpU1xMQUGlmIif1vFeDjyW1YC+rCAjNWlybKKEsy5s9QsmOME3OpapY9trZYDKrFxH6nLMnauTGG1FKiwF2VBTVIQaHJOTuGmMwrdUIIkiLROIgg9RqKB6H8beUgPHsQltAgg/F1Pd3evIj11W0gBOUeqEiyLaSYFAVQWrtgz8/4ggotKoS5/3Ho3eTc98Oev6iE+oAaBoIQchUh5AuEkDcBfBXATgDXUUr/LZLRTRH09Oax8Uc7AQCf+f529PTmtc+cOAhr2IhnICZC7ketjVHdx7nhIgBgfodiIEqWEJNxUrHG5INqMRl7N/sLMfHJ17BgJKl54KmmJkXBJnLoB6JhAq5YPAivcfeKQ+gv1YAQk1u3P4ayROte8TKuoyrZW8yyyTxImEmSqSmxgMHqQXi9x4KGmGr1o9bG1QQDUSu4fQTALijewwiApQD+OwszUEr/OtTRTQGwJkFsFXB2uIiHntwNQNFmMmYxAXpcM5MyX2RF8tvcVS6KXhCAwUCMMAOhhJisWkzGB92qXqk1cwmg5sq+rxmIpIWk5oWYIvYgalUO84TdlImnMS1HbWmunrOYanMQ9Qjp1QwxcWL8fsG4joos26635slWKeAzGcvZeOoFrYCuP1ZznAFDTEVO6jsPjM+MkqSutac/BfAUABlAO4AOy7/LHrwmQYWKhEeeU6pWtQwhlYPQwyhePIhq6AS1MhblNjirehDzOuwhprJkDTGZJ8ygHeWSBg+ioBlPSz8IbogpWg4iYan7sI/H7ino4Sb/YnjKPg0kNQsxqT/vvQ6Cz0EkRAFsSEG9MNGDwq1y39RJUqsTr9Kbge8JBfEgnO5ZrfcC4488exDBQky1+lHr44qeg3CdfSilX4loHJMWPb15PPLcQfQNFbC4M4ON61diQ3eX9rlTkyD2PstZLrikuQJKsdz+s6Om9yYi8iCYl3NWHbPOQeiGzxqrtfaDqEpUKRbyK9ZneMALFQmiQGyrcF44JWhIKyh0g+gQYrKQ1IBe45EMIIYHKPn+1iZBqRqhLsdxcc5TKiGgWAmuleQli6kxHISSqKCEmOwkNduPXzjxZswg+BVaDBpiYnODm1gfYMximjweBAghHyCEvEoI6SeEXCSEvEIIeaDW96YDWPgoP1QABZAfKuChJ3ebOAanJkHsfWYISi5prgAwo8XeVa5QiYikZgZi2BxiMq7KrKJr9joIO4HoBcbYPuNcjJNpUhSUWLFlxayT1NFWUjvF/nmhHBYfr2cCZgZCspLUvusg7OfJqjzre3we6iAaEmISBVRk6khSA0ENBAsx8TkIv0WOQYv22NzgVkkN6GHByURS/xcAXwPwFQBXAbgaCln9FVUkb1qjVvgIUJoEZSyuYSYpYuN6RZ9G4yBUz6FQlkCI/SLPzCQxWqqasjGsjYXCgo2D8JDFRAgxhRiCFlyx86CEmOwek5ZOa1mZWQvTwkZSI+Ud6iAcSGrl/6AhHMEQwrOS1P48CF6Ii61Yg9dB1OYgGkFSJ9WK7arMIakNIUq/cGpmpNew+CtyVLrbBQgxVb0VxE5GD+J/AHg/pfRlSumI+u9lKL0a/kf4w2suaoWPAIWI/uqHb9Bed3Vm8I2PrdbCUElRQEIg2k3A2o1aQw6smnrU0DhI2TYCDsLgQaQTAjrSyj6thXLWByVpkMCuBuwPbS2UsxrElMPKvRqxgahFUushJitJXV8aKaAUUtmkNnxwEE79Hur2IDxIbZSrUv1y3+p9pngQ/Mm8Hg7COj69kpp5EN45iGAktUcOQvNIoyuUqzX7EEqptacDKKUDQWKqUw2LOzPIc4yENay07voFAHbjqx++Ab9593Lb9i1JEYWyWijnEDYy9oTobFXSMRSSOgIPQt1HuSpjwYy0IgwmmkXyylXZRpgnBcEcYgowEZhIao4mvt7KUQYM4qV6+8loQ0y1DIRxsjVyEEFgNEpWD8JPFpPTBFdvyMJTiKkhDYOUOgg+Se0v7dcIJ4FJ9tpvt73gBsJfiGkyeRAjhJCbrW+q741ytp9WUMJH5otmDB8x1NJMakmKJg+Cl+/MaxoUVYjJOEHMUo2TsZEPYM9iAtgEYQgxBeADTCQ153idmsEH1X4KimSNiZnLQdSZdcImJknWu6lpWUw+6iCcxOb0qu86QkweWo42pJJaPQfWyZqtpoNMzGUHfsaoxOsnwcDoUftBwWMdBEtznUx1EJ8D8DQh5LsAtkMR6LsNihLrr4U8tqaDhYn+uGcPxkpVzOtI44sPXG/KYgJqq662JAUUDRwE14NoNRsISaYoVeVIspgIIcgkRRQqkmaoFI0bQxYTp3dvQjR7EH67yQHWQjl7Wq/e69eBpI44zdVppcpLJ7XKbvjfp545ZQ8x+fEgQjIQInGtYJZVie6GVFKrdRDtlpCrycP0CacaEfZakmnN2gTTOMVgulC+Q0yTxYOglL4ORVpDAPBbAH5b/ftO9bNpjw3dXfj4LYpB+PtfvcVmHAA9Hc7JQGQMHsREReLedFYPIqp2o9oY1f10qobKqrPPU+VMGmLQVYkGyiiyFsrZQkwJ/gRQdXi4w4JV3twKnqRFvRyEqHEQhspxzZPxyEFUqSMHUG/IgvWKdoJWu1FvJbWaDMG7x9iipFRXmqudW+P9XQvW/upe4bmSWow+i6lWP4illNJTAP4kovFMSjC5hJLDKkXvY8A/nQoHoWoxOdQ2zGgxGwi94jqapn9MM6oz4xBi4vQWNoq1BQ0l6ByEhCKHn9FX7k5ZTNHKfdcS60s2kKQWjR6E+vtp3/0gnDmIej0co9osD1aJ+KBgJHWVK9an3h91eRDm49c5OH/3tJe6EB5KFX5moxWTkYPoYX8QQp4IdyiTF7qBkLif1woxZZKiruZaqbp6EExuo6DJTkTjQbRYPQiLjDKvIjahKmkCwQ2E1YOwnkM9y8mSxSTLEAUSqAAtCJzGwcAlqdXzFXSCNHEQstmD8KPF5BhiqnNFqiwQnCfmRhlxRv5WOcau1nVxgyaPwjl+q2y7p3EmgnkQhYqEdKI21zHpOsrB3CDoqjAHMpnBDEOpwr/4EzXCQemkgNGiPvHz5DOe3XMWAPAXzx7A9984iV+5Y6nrbzYazGixDCqrbADPg1CymNQQEydH3QvYg8hIaqt3pWepWENMwUJaQZGoQVLzOAj2d1CeJGHIYgquxeTMAdRPUrtnMTkVovmFseWoaJXFMDSc8gsnpVv2u+NlyddqPWj702Kldi8INiYAkXaUq7Un6vD3ZQVmGIoOHgRPQ8gIxYMw1EFYtuvpzeMLT+3RXueHCvjblw67/majoRsIBw+i6pDFZCSpA2QUse+UqzKXn3GqlPXr/tcLtpp3qj9w02IKHmLSydKqrDRsYk6c1zoI9ywmsa7xMfLYCY0MMbFKamumnHGB4RdufdSDFDnWMphOKDrwklboYn2Tpw7iZkLICBRPIqP+DfU1pZTOCHV0kwRaiMnJg6jR+a3FYCB4kyCvYpvtMwqxPsBAUquhLqX/rbMWE6BLICif05pZGDwIqvbSRFmpInfmIOyFclHxD4BuyCRHuW8nNdd6DITyv6TWQSQFJQzhpUBNG5fk3NGtESS1W4jJ2sc8KJJqOi1P7jvlsIDwAicOAgjmXQUNMXlpN2oc02QS64vOVE1iaCEmB/fRDwfBS3N1qth2+81Gg92gMw0eBCPKWbqi9cY0ZzHJSKSDGbOkqHfTs5LyjiEmTn/iMKFnMTnLfVuLqtjEHFwtVdD2WZVkbQxeCtQYmpnm2qi2sKJAIFN+MWYYUhtAsCpzJixJKfXFjRVVDsINPb15fP2n+wAAm57YhfHSKm5GZaMR3ROmghCykhCyw/BvhBDyB5ZtsoSQYcM2Tc2iqkVSF8oSBJcshJakgEJF0mobrKsFJ8E/ILoQExuTqVBOfcCdVoLmEFPwFX0qIWBoQjEQziS1PYspSGFeUNQiQ1nIyyo0aPzfLxIWkpq9NnI/tVB24yDqJalrpbly9KmCgN1XpSpHrK8eDsJFriUIIZwU3BcRTihyFASMYKKhl9RnZGC8bBMNDQuRGwhK6UFK6RpK6RoAtwKYgNJzworX2HaU0j+NdJAWaByEQ4hpXC3wclo1tKSUEFPRgczmVWyzhyIKD6KnN4+X9p8HAHz6u2+hpzev5HSrD3iZE19Xxihoue71VMyaPIikU4jJXgcRpQehpZw6hpjs9QbJOlfoxiwm4/n1E8pwU1NN1+1BCO5pri4hHL/7AZRsH6sWk5NWlxe4hZiCVMEHNVaKgXDejxfR0LAQuYGw4L0AjlJKTzZ5HK4oaiEmZw/CbaXfkhBRqsoYdyio29DdhW98bLXW6nNWaxIfWr1I2TZksT62OmFhsnMjJTz05G6cHynqHkTVwYMQjGJ99hx1r0iZQkxOWUzWSupgWVNBkaixOuTVG9TNQRCz1IYWYvKRb19xadjTiEpvt8mQ1yMj6H4AcLWYNJK6njoIzviCnJugKbfFiuxKUnsRDQ0LzTYQnwTwuMNndxFCdhJCfkYIucFhm0jAPAg3ktptpc8mvUvjyiTIcyc3dHfh1c/fB1Eg+LU7l+GaBR2m74YFp9XJgXOj2kPnlI1iFCfjZZh4RSohaL0wvIeYgje6CQKNHHZpGGTvbUxM//uFaKjeNrbbdGqi5DQup7asdZPUNTiIhmUxGe4r66KAECXJIZAWk0szpUB1EAGbF9UKMdXqORMmokmR4YAQkgLwYQAPcT5+B8AySumY2pyoB8AKh995EMCDALBgwQLkcrlA4xkbG3P87lhB6ZNw7NRp5HIXbJ+fPluEXKaO3z99Upn8Xt7yFgDg+JGDyI0d5W47PwNs2XMci9sFiATY+vqrPo/EGbxj5KnVAoqRGJ0oIpfL4cKEcsMfPXwQuYlj2jaXBosYGZWRy+UwNlFE/8Xzgc5/uTiBwYIy0RzYswtSXn9YBgrKvnfv24/ZI0e0989fLKJQsp9zt+tYLwRQHDtxCrncOdtnp/MlSBXJtO9TJ8sAgHNn88jl+n3vb2+/Yri3bX8HfWcrqJRljI3JqJQF5M+eRS53qeZvjI4XMHCxbDsnW/sq+P4+ZXy/9e2t+MTKFO5enPQ1vjOnyqjKFJs3b+aGV3dcUDzmXTt7MXbC+0LHeg2PndIFLM+csp9/ARRHT5zkXhc3HD6iHP/W11+FYBn/mNobZWiw3/P9dOy0Ms5XX9+C2S3uhsV4jJdGJzCUKDju54NLJTw2ApQNdiclKO+Hda8zNM1AQOkp8Q6l9Lz1A0rpiOHvZwgh/5sQMpdSanvKKKWPAngUANauXUuz2WygweRyOTh9V375WQAS5sxbiGzWJm6L/3vkDcxrkZDN3sP9/vm3T+EH+3dj2bWrgLffwdo1q5G9bgF32+78duzrG8HNi+ajte+M45iCgHeMXW+8zDUSbWkRIATZbBaHz48Cr76Km268AdmbF2vbPHWuFxcrQ8hmsxBfewFXdC1ENrva97hm7X4N+THlkt99x1rcsHim9tmF0SLwyku4+pprkb1zmfb+t4++CVKs2s6523WsF+nNz2HR4iXIZlfZPnvibC9mlIdN+z6WOA4c3Ierli9DNnud7/2ljvYD297ETTevwY6Jk7hYHUF7O9DRBsyZOwPZ7C01f0PY8iKWLpmPbPYm7b2e3jy+99JuqEX7GC4B39svYdX1/jJjdkmHgaOH8O733MsNLxb3nAXeeQd33nYbVi32nhFvvYbn3z4F7NsNALjmqiuRzZrXii2vPI+FixYjm73R8z4AYHv5IISjR7Duvvtsn33/5NvY038BXYsWIptd4+n3Lm47DezdhdtuvxNXzG513dZ0jK+/iOWWa2REFsCqGq2Pw0IzDcSn4BBeIoQsBHCeUkoJIUwscCDKwRlRS4tpoiyhzaVegbmPg+PKisWtCdC1Czrwsz3nMDhejoSg3rh+JR56crcpzJRJirh9+Wz8/Jhyyh2zmCz9IOohqRkc1Vw5IaYo6yAAJeTjJtbnJBvdCA5CP7+yr74DvOviRnr6mXSMqb+8VgasurxeDsJYPc0zREnR3LvEK8ouiQ5BOAijdL0flGqEmAAlBB2FQbCiKRwEIaQVwC8AeNLw3mcIIZ9RX/4SgD2EkJ0A/hbAJymlTankrkqyFmcNTFInGQehGgiXbVcu6AClwO4zw5EUyTGCvKszAwK9I96qxTO0yd+Zg7C2HA3IQZgMhLd+EIrURrS3r1uLTT4HwVIlA5LAhgnYKGWSFGu3+tTGxcliahTpWYu4bxQHUUtdNR2wQI2XeabvJ1gdBOBdaZehWK1tIJqFpngQlNIJAHMs7/2D4e9vAfhW1OPiweg1uHkQbqt9zYOYUAyE27bXLlTI6WP947h+UTSF6rzVyd+8eBiSTCHJ1DmLydJyNHAWk+F3rcZTJ/4sWUwyRWs6WgOhNIRx0mKyT8RM2bURUhs62SyZRBJrgafF5LVTYi0ktOpy7wq3QWBcCPD0t4KS1K5KtwEMBBubn7FUJVlRIajRTa5ZaHYW06SH0SgUK85qrq5ZTKqBYMVgbilty2a3ahNmVFXUPGjuclXWexFwQ0wyKGVSEPV7ELZ6EJc6iCgL5QCzQbSC37O7sWmuWmaNx0I5SqmiwmuZBL12SqwF5tE4NS9qZCW19rdDiCm4gXDwIAJkeCUDhJiK6vwSRKYmCkzOUU0iGMNKzv0gqq68Arv4Ax5CTAlRwDXz2gFMHgPBOsvxGqtUJOoqeuYFRmE0628IAuHm2/N0ecJGQhBcxPo4UiQBBN+MMPakrhrSXN0MlRFO18UprOg3xp0weDg8uElZ+IEpxMT1IIKpqLoJPqYCXLtUgBCT12ZBzUIzSeopAWPtA68OglKKCU6jGyOsHEStiX/lwg7sOzviq91ho8Emu5IkOcaSWT8A9kDUG2JyOt6EaJd04OnyhI2EQCC5rJZntPAJ9nq0jgBdrK8lybSYFCnqWnArBGsE6VkrpMKuWb0d0IzXmUtSJ4KR1DyjzhAkwSBIiIkZiGY+626IPYgaYF6DQPgkdakqg1J3ryBjyWKqFW9kN9jz+87jnodfjkRzxYq0aPQg+CGmpKrFU6+kAnsInc4hL4RQkZsRYnIuUCtzyOC3jg8CADY9uTvQdTR1lJNlgxaTNzVXN62hRsBowHholAdh5B24JLUoBOoox2tAxBBIrC9IiElddEbZ48EPYg+iBphRmJFJcrWYaim5AvrFvzRRRktSgOAysfX05vH8Xr00JD9UwENPKjngUaa5JQ0SF24eBKCfo6ATAZOCcMra4vX6rbqI0IUFJ5K6pzePIxfGcODcKO55+GUtlv/tLce1bYJcR8ZByJRJbfgLMek9KsIxpFqPDBdeRrAo3AaBqZKak7mWTBBHlQM3uFWZa1pMPu6x6RhimpxmaxKBGYUZLUkuBzHhoK9kBPMgJsq1G4M88txB2wokKmEuI1hTknJVds1iAoCiWuIZlBNgD5ZriKlqDTEF134KCpHTEIZpWbH3mSH46r/vtcXF/V5HXSBQ4XmM8g9ewhiNIomdwH7XrU93I/ZtvM48YxOUpC5L1KWZkn8OQiPtA4SYYgMxRcFWxzMzSW6IifWOtvYxMMJ48WvVNjRTmMsIcxYT30CwDKOJStX02i/YJOJkZI2qsQxVOfpCuSSng5pT0RmTZrbCz3U0hnCqkkWLyaVRD0Oj5LadINaIuSt9zBtgIGqEmJKi4JhA4oZK1bmZkmaM/WQxOdTsuIEtQGMOYoqCua4zMgkHD0INMblc4KQoaDd5LfG9ZgpzGaFXhUqGWDJfSZMZyaD57hpJ7XBuUpzYf6XqHB4ICwlOJbVfw+3nOmpy32oasV8117ILSd0IGFVWufvn9DEPtB/DfcfzGnkhSC9w83CCSKEnHbofukH3ICbnVDw5RzWJwIzCjJYkylUZsuVh0AxE2n3iZ15ErZVCo3LU60VK4xdkl4ZBymu2gg46YSc9hZisJHW0LUeVcdgNldOE35lJ1n0dTXUQst7z240sNyJsDoJdfz8Kt0Fg/A1eYkIq4V3d1gjXOgj1fT8ZWEmH7oduYK0E4hDTFIUxxATYMxQKFcZBuIeONANRw4NoVI56vTDVQbhIbQAGD6KOjnKAe4jJOglVGzT5+EGSI/e9cf1K2ySSSYr4yodvqPs6MoNblcz9IJIcT4aHsDmIhIEj4e+f1l1FbdwP4MRBBJX7dum2F8SD0Ehq72Nhz85kraSOs5hqgHkQzECUKuaWoV6ymADdhfQSa2yWMJcRxk5dZTUd0CrpzCawej0IjaR2MLJWMTZZppBpcFI8KEROaGdDdxeO94/jb146DEAxBEalzXquo2jgIIyr3QSHC+GBTZphkfk1Q0yNIqk9iPUFMRBVh2ZKPb15fO0/lP7Pf9yzB+Wq7Ok6Mg/PT02GVkmdmpxr9dhA1ECpoqe5Asyj0HXzmYGoNfGzz5tZHe0HVg+CF0tO2DiIoCEmlZ9xOIdJS4iJEbTRp7nyRfJuUKWs//2z78LqJTNtnwdFwsBBVGWqrZ69rpjLGkkdVoiJSW04eBAhcBANJak5aa4sK40tegbV/s9AbWMfJMRUirOYpjZ0DkKxpdZaiIJnD8IbBzFZYCSpKw7ZKEkLBxG8o5y78bSuEFm8mSfcFiYSDnUQrABydnuqofsTLFpMRjVXP2muYXXe06U2Qs5iMpLUHC81FVTNlRNiqqf/c5AQk0ZST9IQU2wgakAzECYPQoceYnJ3xjIeOYjJAqsHwVutswmaGcmgoQzNg3BNc9VXqdWQQydOMPa/MIJpbM1pa6yBMMb4KyaSmkCmsCVMWBE2B+GlUK7RISa+B2GXYvGCMifEVE+aObtefkJMhYoEgYTn5dWL2EDUQKkqISEQzQBYXdmJchWE1E5TY9XUUybEJFpCTC4exEQEJLUpxMSkPyIX6+OTw/1jJbSnEw0PEwgCASFQFXNh8iAAZxVVhqYXylUbk2lm9CB4JHVKFDVpej/gGbB60syD9Mcuqpwmr2XrZEBsIGqgVJGRTghapgrPg8h4uMCZqRZisqS58gyExkGwEFNQqY0aaa7Wh45N0pF7ECLhTkKD42XMbrD3oO1TIDYpk1rZQwy6hlbYUhvee2QEQdLkQfClNtzG4QReM6V608yVBAJv4+jpzePxt05hoiw1TXOtFmKSugZKVRnppKgZCCsHUasXBIOe5jo1TjkzCEyLiUtSsywmLcQUbCLafuoSAEXU7n+9fMTWb9dKDrMK4ag5iKRD/cHAWBlzGsw/MAiEaPdcQiAANdQf1DAQlWrYHkTtQrl6lVwBs9fAu8eMbWn9eHE8DoLdd0H7P9cKd/WovaXzQwUQ7ADbslmaa7UwNWarJqJYkRQPQr3xrB5EoVz1xCvoHsTUcNrM/SCcQkz1exA9vXn889aT2mveg2LV+29WFlPCQUV1YLyMrs6W0PbJiMyEKABV/bw3O8Qk1qyDaFShXA2xPkM41CsoVXgdXpiynjTzVEJwVHO1ZkhZz1qQvuBhY2rMVk1EqWoJMfE8CJdmQQwtGgcxNWyyKBCIAtGzmLhprmYPIogWkxdxQluISes/EXEdhEi4KZ0DYyXMaUuHs0+BaLwXmyiNBXRuqDg0DGoUtHGELNZHCNGMEb/lqH+JC0mmKq/T2HPjFmLiZUhZEbXmWi3EBqIGSlUJ6YSoua5WkrpQkTx5EC3qNi1ThKQGFNfdUxZTJXiIyUvWiC3EFPLK2AlJQbCFUyilGBwPL8SUEAXdg9DE+rzF3CsOFfCNG5ver4K7/wZKsmsGghdiSughJq8Iq1dGMuEcYvIy+UetuVYLTTEQhJAThJDdhJAdhJBtnM8JIeRvCSFHCCG7CCG3NGOcAOMgBAMHYSepPXEQLNd/ipDUgOouu2Qxsfd0qQ3/t5OXrBFrFpPeSjP6Oghl5alPACOFKqoyDY2kFgjRqm21hkEeVUP1jnIhFcrVCDE1qg4C0GtsuCS1yNJLvRuIeptcOcGtRqXW5N8MzbVaaKYHcR+ldA2ldC3nsw8AWKH+exDA30c6MgNKFRktCdGQxeSfpO7pzeO7avOYTU/umpTZCjwoEhdKRzluFpP60E5Ugqe5eskaSYrE9PBrEhIRq7nyQhn94yUAwNz2cEJMZg7CvIp2Cu0whK7FVEOsr+wipx10X7wQU8qjwTTCScK+XiQFZwPBu9fZ0TRLc60WJmtA/CMA/pkqS7U3CCGdhJBFlNKzUQ+kVJXQlk7UIKmdT6OVmOof816632ykEwLKVYpyVeKGKdjEU6yjUM5L1oi9krq+BkVBYWwBmlLXVloVdUgehJGD0CdJbxNiOeSKc82DCJmDAPTFh1PDIMAfSR2W8XQLMW3o7oIky/jcj3YBsOt2TUY0y0BQAM8TQiiA/0MpfdTyeReA04bXZ9T3bAaCEPIgFC8DCxYsQC6XCzSgsbEx7ncHhgqQ0wRvbnkNAHDg8FHkZH1oQ2MFDA+UHff7tdwEChXzDVOoSPjaT3aic/hwoLEGhdMxOqFaLuJM31mMjMkYHCjavjtYVB6ywZExAMDPt7wWSG6jE8DX7xQAtClvDB9GLqefm/zpMmQKvLx5MwRCsKdfUdDds2snyqfNKzK/x+gHJ08oTYByr7yG1qRynNvOKWM5fmAX5L7Ghw8r5SIGhxQv5eD+fbi+vYgjF/YAAN58exsuznTe59FjZSQI8MorrzR8XICe3nrk6DHkcMb2eaki4Wz+DHK5C75+l3cNq5UKRIdj2X9RuQZvvr0dg0e8XYMLE8q9e/TwQeQmjvkanxsKYwVcKI473oPVcWW/v7aC4n1XC7Z7fbKhWQbiHkppHyFkPoAXCCEHKKWvGj7nzTJcs6wal0cBYO3atTSbzQYaUC6XA++7yXdeQdeCDrx33S0QX3wGi5YsRTZ7nfa5tPk5XLV0CbLZG7i/O/jsT/nvFyl3f2HC6Rid0Nn7KjrntEKcGMbSxfOQzd5k+vziaAnIvQgqpgCU8N5s1rXfdlDspUeAIwdx97veg5akCPnAeWDbNty+9lasuaLTtK3fY/SDk1tPAAf24s6779E8hvybJ4Ede3B/9h4smNH4VNf2bTnlxh8dx5qbViN5YT+6r70BeOct3LymG7cum+343dfH9iGdPxXa+aCUAs8/gyVLlyObvdb2mfTsM7j6KvtntcC7hm1vvIyiXOIeS/roALD9Ddx40xrcdfUcT/s4enEMePUVrL5hFbJrGreC/98Hfg5BALLZu7ifv3LoIvDaW7hiViby5z8ImsJBUEr71P8vAHgKwO2WTc4AuMLwegmAvmhGZ4aSxaScpnRCMKW5UkoxUZHQ5tIsaLJ0iAsCjaSWZC7Rydz+oqonE4ZxAOwx5maK9QFmMbaBMSXENKs1vBCTlYPQs5hqcxBhVpsTQpAQCFesj3FGjSiUA5RjdkqjTgWopG5GiAkATg6MAwAWtE5OaQ0rIjcQhJA2QkgH+xvA+wHssWz2NIDfULOZ7gQw3Az+AVClNpIGA2GIc5YlGZJMXWsbJkuHuCBgRT8K2Wg3gmzymShXQ005TWoTs/LgNTPNFTDLWw+OlzGjJdFwspPBVAdh6EkNeOMgwj5HvB4ZgDGNtDEToSgQR84pSC/osPp115LaODkwgUxSxMz01DAQzQgxLQDwlKpdlADwL5TSZwkhnwEASuk/AHgGwAMAjgCYAPDpJowTACuUU2sYkqKJpC546AVRb+l+M5EUiWslNVvByzTcyTppyXNvWqEc689gzGIaK2FOSBlMbJ9GD6IK71pMSoFjuOfIqUdGo2U+kqIA0cGDCEJSh5nm6qbmenJgAktnt4IQ//LkzUDkBoJSegzAzZz3/8HwNwXwO1GOywnWEJNRi8lrN7nJ0CEuCFIJEcMTZcd0RePDH+ZkrXfqYiEm84o6KugNcswhpkbLfJv2aTAQSZGgCH91EEGbOHmF6CA/0mgvLyESx8lcMxBB0lwbvLBJJfjng+HkwDiunNsGYKyh+w0LcSW1CyilKFZkg4EwexBaN7kpVB3tBylR0I6R50GIqhw1ELYHYV4xa4VyIRWAOY6DI5IXZhU1oJxjtkAXDf0gAG91EGGHmBQJdPs42GTdqNCbKAiOixBje1yv0IsIGx9icjLcskxxanACy+a0NnSfYSI2EC7QiDY1hJROmjmIgsdmQVMV6YSAsZKSQuj0oGtx8RAJY+uKWWsYFLUHwZG3HhgvYXZIOkzKPg1emqZH5JGDqIbPQShd9jgGooEyHz29eezvG8HpwQJXFjuY1EZIJLWD4i8AXBgtoVSVsXROW0P3GSZiA+ECZgyYB9GSEE1ZTBNlZfKcKk2A/CJlMBBOD5Je3RverZSwhJjKDSZAPY/DsnKXZUWHaW6IHoTRBrJrYCXtnRAFB5EQHDiIBmkdsUJTdu2Z2q/RSHjVpuKPr7HnJ5Vwbhh0Qs1gWjY79iCmBZgxMHoQRWOIqTK9Q0xJkWC8hgeh6wOFNxHpaYxqiKmJLUcBvQfzUKECmYZXRW3cJ8DpKOeFg4jCg+CkuVYaRAJ76RHNwkSToZLaLcR0amACALA89iCmBxjf4FQHUfBIUk9VpBKCFv92ChUwwxFumiuL/ashJrm5dRDMUA2MKRXOYWcxMSQtHARPetyIalRpri4cRL0xfi9qv6k6SOooQ0wnB8eREAgWh9Q7JAzEBsIF1hCTE0ntpR/EVISx9sHZgzBPWmHAGmJqWh2EhaQeUHWY5oacxaT9zTwIwWwwnVCOIIsp6ZD3z1bz6TqvkVe1X0CvbfACvQ6i0WmubiGmCXTNykTu+daD6TmzBQRrB8jqFX7ljqUAoNVB2ElqJfwyXUNMRqPg5EFYwx7hjMO8cq9IMgTCF24LE1oPZjWkwqqoZ4fKQdgNRGIScRCiwO/T3agsoY3rV5rELgF7oSlrbuWHg9CyrELxIJxDTMumUHgJiA2Ehq19FXzvJf1GzA8V8LcvKSJaeiW1aKqDGL8MQky8v43QiNMQM4psISaJNmUVxo6RFcoNqlLfYXWTA8wehK2S2kPL0bC9rKTIDzE1ysvzWmjqtnLnIcwQk0wVIUPrAubkwLhNO2yyIzYQKp44VLGprtpDTAK/DmIKNQHyA6OOjmMWk0unr0bBmtZZkWioabWO4zB0UOvpzeMvVaL0I3/3Oj6//rpQiiGNk4yotRyt7UH09OZx9OI4Dp0fwz0Pvxxa9b6T1Ea5gSEcL4WmrHeJV4RWB2HIqBIFZV7o6c3jL549gJFiFU/vzOPWZbPQ2dC9hoepEwwLGQNF54fNLcTUkhRCE6lrNowPtyMHIZpXtWGAhZjKWqFcuCJ0TmDnY+vRATz05G6MFpUQY99Q0ZZ62SjwPAitL4XDhMhSQ1noh5ca2rDxiYJrFlOjxPpqgbXH9YrQ0lwtGWbsWpwdLgIAhgtVPPTkbmztqzR0v2EhNhAq5rQ43yjGOohyVdZaTird5KavE2aMzzqHmMJPc7WGmBrZ69gPmCfz7zv7aqZeNgo8DoIQokyIDh6El9TQRiHh6EFEm0jgFvvnISy5FmuNitO1eOJQbCCmFD5+bdKWNskudgvjINT/S1UlxPDkO3kMjpe51Z3TAamEIYupVogpAg6iYshiirpIDtBX7pcm+A+3l6b0fmHKYrIYCycPwktqaKPglOYadaZZLZltK5QQEGm495+w3KtO59wtYjGZEBsIFXcvTuLGrhna667ODH7p1iUADCEm9f8n3zljyqwI04VvJryQ1FqIKcRQAls5lw2FclEruQL6ZNeZSXI/D6PHh6a/JBAQYjYWTlpMUfYgSdYIMUVlIFK+OQgayiLDWpPhdM7dIhaTCbGBMKCkEms3LZmJLZvW4YbFMwGYSWoA+NuXjkTmwjcTXtJctRBTiDyMFtdVwxYVmUau5Arohup918+PrMeHUxKAW0hl4/qVtusV1vgcSWr1vUankTohKQra/eEF5Wo4GV5WYUmnfjAfv5a/yJhsiA2ECplSnOhXtFJYfruexaT3gwCA8yNF7m+E4cI3E8aH28lDiKJQTuMgZF2srykehHqsqxbPxFd+cZX2fldnBt/42OpQs5isBtFJJA9Qsn4eWL0QgNK7N8zxOaW5amJ9UZHUCf9ZTGEYL2vG3YbuLnzjY6uRUcPT7FrcvXhqGIjpy7D6xKUiRaEioaMlgYtjJVBKdamNpNmDmNeRxoXRku03pkIbUT9IGeS0a3oQYYr1WSQuopCQ4EE0pLnecdV8AMBf/fLN+Lgaigxlnw4eREIQXOsgMqkEZrUm0fsn7w9tbMr4BPdCuYgMeRCSOhQPgiP7saG7C/+27TTKVRk//m93AwByucMN33cYiD0IFefGlZv8tuWzUa7KGC1VdbE+S4jp1+9aphHXDFOljagf+JHaCFWLiUltVJmaa3PSXLX6A5lqC4T5M8IrkjPu03q8qYTgWgdxvH9MbUwTLpIOFcwVSQaJsNo9KRJfUhtViYbST8RJaXdwvIxZIUqyhIXYQKg4O67c5LdfORsA0K9qt6cSgkYOMlXXu6+eg8/9gm4MwnThmwlPHERCJ1HDgiAQlZTVK6mbUShn1GK6MKqEGed3hCu8pnkQgtWDcK8cPt4/jivntoc6NsBZaqOsrtCNxHqYSCVEXyGmsiSHwmM5Ke1emihjduvUMxBxiEnFuXEZbSkRqxYpmUz9Y2VTu1EAaFH/LlVk3LBY2e5f/vMduPuaudEPOAJ4ktpgMfKQY80JUU9jVArlmpPmSojCgVxUPYh5HeF6EI4hJhfV0LFSFedHSrhqXvgeBG8cPb15fP+NkyhX5VCruI1IBZDaiCrERCnFpfFK7EF4ASHkCkLIZkLIfkLIXkLI73O2yRJChgkhO9R/fxL2uM5NUFw5r0174AfGFA8ibagFYB5EsSqhT62MXDTNeAcjmNfAxNB4SESQxQSoUgosi6lJHASgrtzVEFNSJI4pr42CE0mddOjDAEBLtrgqghBTQiBafwxArxweL0WbAu6fg4guxDRellCWZMxumxrEtBHNeMqqAD5HKb0ewJ0AfocQsoqz3WuU0jXqvz8Ne1DnxmVcObdd6y/cP1ZCydCPGtA5iFJFxlk1Y2nRzKmj7e4XjKR2IxpZbDxsTiBlyLevyuGL0DkhoZKyF0ZKmNueDl1mxSnN1amCGQCOMQMxL/wQU8KSxRRlFbcRxgWEF4TtQRiN1SVVFn7WFAwxRf6UUUrPUkrfUf8eBbAfQFOD98WKhIECxVVz2zC7NQVCgIssxJTkGIiqjL7hIma3pbTU1+kIRlK7pQNqIaYIOpdVqhQ9vXkcODuKlw9caEoFe0INZVwYLWJ+yOElwFgoZ01zdV4xH7s4BkKAZXPCb21pNVRRVnEb4daox4qe3jzePDaI3lNDDb+HdAOhj2VQNRBhdh4MC03lIAghywF0A3iT8/FdhJCdAPoA/BGldK/DbzwI4EEAWLBgAXK5nO9xnB6VQQGULp7C66/1oT0J7Dp0HMMlikqRar85UFAeyJ1792HvOQkdIg20v2ZhbGzM13gvFdUJSJYcv3euT4nFnzx+DDmcrnOEzpAqZbxz5Ayeeuc02EIxP1TA53+0A/v279Pyyv0eo/+BVHHy9BmcuCRjboaEfv1PHFdkPQoTynGx4xsbKaAsgbv/N/YWMTtN8MaW10IdGwDkz5RRqer3x+wWwpWRmN3i/VwFuYYDF0oYKzjfpwxb+yp4bE8ZZZd7qB7kx9Q5YvcetPQfAADsuqiIOh4/uAe58/sBRHCfNghNMxCEkHYATwD4A0rpiOXjdwAso5SOEUIeANADYAXvdyiljwJ4FADWrl1Ls9ms77H8bPdZYMs7+NC9t+HGrplY3PsqUh2t6MjIoOkKstl7AKgtJl95EVdevQJbL57Ciq5WZLNrfe+vWcjlcvBzfgbHy0DuBbRn0o7f+3lhP3DyGK679hpk77myMQPlYMa2HM4MF1C2ZMyUZeCnp0R84VeU8fk9Rr9o2fIiFiycj50D53Hd8oXIZleHti8AOJo4Dhzch9mdM5HN3q0d32PH38Kl8TKy2XfZvvPXe17HqiuSyGbvCHVsALC9fBDSiSPaOf/SzDz+3yd2mVSPM0kRX/rIamQ9EtVBruHm4T3YMdhX83tffPhlzTgwWO+henCifxx4PYcVK69D9halPmbwnTPA9p1437vuxHKVFwr7Pm0UmhLIJYQkoRiHH1BKn7R+TikdoZSOqX8/AyBJCAktVYjFbFne+NyOFPrHSihWzFlMGkldkXB2uDClessGActccquG1ZrYhN3aUhRQqPBDKlFWsCcFgmJFxsB4OZIQU8IxzZWv5kopxbGL45EQ1IBColMKyKrh3tDdhQ1rFgMIv4rbCK9SG2GHwHjd/liIaSpmMUXuQRAlMfrbAPZTSv/aYZuFAM5TSikh5HYohmwgjPH09ObxrZePAADe/81XsXH9SsxpS2PnpSF0tqYw05ClwozF4HgFI8UqFs2cvhlMgM49uBkIa5/ksJAQidqwyT4JRFnBnhAFnFMz2MIukgN0uW+7FhNfzfXiWAljpWokBLUyDjXmLstIC4yPI+hsTaL3S78QWR1E0qPUxuLODPIcY9Coe+jl/ecBAJ9/Yhf+5qXD2Lh+JQbHyxAFghktU6+qoBkexD0Afh3AOkMa6wOEkM8QQj6jbvNLAPaoHMTfAvgkZU0YGgiWkmdVZR2eKCuFchVJq30AlFWcQPQ0wunuQXiR0UhqWUzhp7mCcwtEXcGeEAnODisTzLz2KD0IO0nN00A6ftHsDYcNloZrLJbrPX0J3Vd0RmYcAJ2krjVNbFy/0pay3ah7qKc3jz//2QHtNZtPek9dwqzWVKTno1GI3KRRSl+H4n26bfMtAN8KeyxOKXm9p4cwXpYwXKhoYSVAadTSkhRxYkB5CKe7B8Ea07h6EBFkMfX05rGvbwRliYIAmNmaxPBExbE/cZhICgKOX1Ku//wZ4S8QtDoIqwfBqaTu6c3jK08ruRwbf7wTD33g+tDPDbv+LGtntFjB4Qtj+ODqxaHu14qUQa8r5VLfsKG7C3/+zD4MF6ooV+WG3kOPPHfQ1LMe0OeTpbPDzygLA1PP52kgnOKOI2oryfMjRVvLxHRCMBiI6e1BAEp4yS3NVW85Gs7qiHl5LHxAodShfPMTa5oibSIKRMu3j5aDcFdztXrD50dKeOjJ3QAQ6nlKWDyIXWeGQSnQvbQztH3ywBYxFUl2XdCcGy7iwmgZX3zgevyX91zV0DE4zSfFijwlayCAy1yLybGZh0omydTeUzedEFGsKEJkC6e5gejpzWOiXMWbxwcd88WZYQiro1yzCq+cYDSEcyMIMblJbRgrqZt1ntgCgfEhO04PAQBuvqIz1P1a4aSBZMWWI/0AgHtCkMdxmk8SApmSNRDAZW4gnJp5/Obdy7TXRqkNQJf+nteeblo1bxRgK1IWWnaSTGDnIKwspmYVXjmBTYizWpOR9DoQHUJ4KUvlcLPOk1HhFgB6T13C1fPaTMkdUYCngcTDlqP9mN2WwnULOxo+Bqf5JJ0QpmQGE3CZGwjWzKNLtfwsJe+Xbr1C2yZtkfVuUQ3GdNZgAryvSDUOIiTJiSjbZ3oBO96wVVyt++OpuRpJ6madJ2bAfrb7LO55+CW8uP8Czg4XI69w11p9OqS69vTmcc/DL+HJd/IolKt4emdfw8fA5pP2tBK5X9zZgj/fcCMKFWlKKrkCl7mBAJSLumXTOjx2fxu2bFqHDd1dmh4TwAkxqQZj8TQPL3lZkfb05vHnzyiVob/3w95QJgWnVVmzem+wUE/YKq4MmtSGyMliMnAQG9evtPFAYZ8n4/X/2k/3Iz+kpP9OlKXIe7Qz4T2e3Abzhtn4ChU5tPFt6O7Cl9Vugz/4z3fivuvnQ6ZTswYCiA0EF+mEiA41Z9kWYlINxnTPYKq1ImUP3aUJRQqif6wcykNn9PKiLLxyAuNaoiCoAYDZBVsWk0hMHeU2dHdh7fJZIIimQM16/a2ImidiumE8DiJqfobVoBy7OGbQYZp6Sq7AZZ7F5IZ57WmMFqtckhqY/jUQG9evNGXFAOYVqdtD1+hJaUN316RpxpRskgdhzN3v6c3jsa0nQClw98Mv4fPrr8OG7i4MjlXwnmvn4Z9++/bQx8W7/lZEWuGuXpfn9p7Dp7/7NvqGCpiZSYIQOBqxsMbHqtiP94+js1UxDFM1iyk2EA6Y257Gsf5xOweRvDw8CDYhP/LcQfQNFWz54pONPI4KzIOIykBY60y29lXwvZd0w903VMRDT+7GRLmKg+dH8aGbFkUyLi/XOUqeiCVJfOvlI1q1/VCBbxgYwhrfrLYUZrUmcfTiOJbNUYzFVM1iig2EA+Z2KBfUGGLq6c1raXJfeXovKpI8aVa2YcBt5R62ZMFkhaiuVKMokgPsLUefOFRBoWKOsxcqEv7q+UMAgFuXz4pkXE7XnyFqnoiR1DwpFh7CHt+Vc9twvH8Ml8Y7AUxdAxFzEA5gOe7MY9ALkZQb8OJYKXIibjJhspHHUYFla0UhswEY6yCU+5AnpQ0AA+NlJASCNRHVH/CuPwuCNYMneuOYd6m2KMZ31bx2HLs4jsGJqdsLAog9CC56evN4Sp34/+Qne1GVaKQx96mAWiGo6Yie3jye36eIsf3+D3vxhQfCl7IQLWnEcxz6LaREAdcv6kBrKppHejJd/57ePB599Zinbbs6M9iyaV3II1I8iB9vP4PTgxNIJwSbMZ0qiA2EBVbJgsHxso2sNWK6x9zdMJnI47BhvS8ujEYrZcE8iI9fm8T39ku2+7EsyThycQw9vfnIrslkuf6PPHfQU2gpSg/36nkK97D95CXMbpuaQn1AHGKywclTEB0u8HSPucdQ0CwpC6tY392Lk6biTiPGS9HXH0wGuC3SZrUmm5IezVJdD54fnbIZTEDsQdjgdLNJlCKTFB3TPmNMbzQra+uVQxcBAH/20/347pYT+OBSCV/IKiv3ex5+2UYUX45hTyfCPKpwEg9LZ7eCEEWhfqryD0DsQdjg5BGwFchkKdiKES2aIWXR05vH37x4WHudHyrgsT1lzUO4XFONrZiMCRMtSRFLZin3xlStogZiD8IGtwKxyRJzjRE9ahUOhgFebL0sQ/MQLtdUYysmE2FuxJVz23F6sIDZrVOzihqIDYQNk/Vmi9FcNOO+qOUhNMNoTVZMxsUb6273Tz8/iRf3X5iS80hsIDiYjDdbjOYj6vuilocQL2YmL3p686baDCaXD4Sb9dZoxAYiRoxJCp6HkBJg8hDixczkxCPPHbQpy07FBIKmkNSEkPsJIQcJIUcIIZs4nxNCyN+qn+8ihNzSjHHGiNFM8JRsf+vG1JSaYC5XTJcEgsg9CEKICODvAPwCgDMA3iaEPE0p3WfY7AMAVqj/7gDw9+r/MWJcVrB6CLlcrnmDieEZ0yWBoBkexO0AjlBKj1FKywB+COAjlm0+AuCfqYI3AHQSQqKRqYwRI0aMOjEZU2+DoBkcRBeA04bXZ2D3DnjbdAE4a/0xQsiDAB4EgAULFgReYY2NjU371Vl8jFMf0/34gOlxjJ0Afv16EU8ckjFQpJjTQvDxa0V0Dh9GLnd4yhxjMwwET7PCqj7mZRvlTUofBfAoAKxdu5Zms9lAg8rlcgj63amC+BinPqb78QHT5xizAL7g8NlUOcZmhJjOALjC8HoJAGsHcS/bxIgRI0aMENEMA/E2gBWEkCsJISkAnwTwtGWbpwH8hprNdCeAYUqpLbwUI0aMGDHCQ+QhJkpplRDyWQDPARABfIdSupcQ8hn1838A8AyABwAcATAB4NNRjzNGjBgxLnc0pVCOUvoMFCNgfO8fDH9TAL8T9bhixIgRI4aOWM01RowYMWJwQZig1HQAIeQigJMBvz4XQH8DhzMZER/j1Md0Pz4gPsaosYxSOo/3wbQyEPWAELKNUrq22eMIE/ExTn1M9+MD4mOcTIhDTDFixIgRg4vYQMSIESNGDC5iA6Hj0WYPIALExzj1Md2PD4iPcdIg5iBixIgRIwYXsQcRI0aMGDG4iA1EjBgxYsTg4rI3ELW6201FEEKuIIRsJoTsJ4TsJYT8vvr+bELIC4SQw+r/s5o91npBCBEJIb2EkP9QX0+rYySEdBJCfkwIOaBez7um4TH+D/U+3UMIeZwQ0jLVj5EQ8h1CyAVCyB7De47HRAh5SJ2DDhJC1jdn1HZc1gbC0N3uAwBWAfgUIWRVc0fVEFQBfI5Sej2AOwH8jnpcmwC8RCldAeAl9fVUx+8D2G94Pd2O8W8APEspvQ7AzVCOddocIyGkC8DvAVhLKb0Rij7bJzH1j/ExAPdb3uMek/psfhLADep3/rc6NzUdl7WBgLfudlMOlNKzlNJ31L9HoUwqXVCO7Z/Uzf4JwIamDLBBIIQsAfBBAP9oeHvaHCMhZAaA9wD4NgBQSsuU0iFMo2NUkQCQIYQkALRCkfaf0sdIKX0VwKDlbadj+giAH1JKS5TS41BESm+PYpy1cLkbCKfOddMGhJDlALoBvAlgAZNNV/+f38ShNQL/H4DPA5AN702nY7wKwEUA31XDaP9ICGnDNDpGSmkewP8EcApKx8hhSunzmEbHaIDTMU3aeehyNxCeO9dNRRBC2gE8AeAPKKUjzR5PI0EI+RCAC5TS7c0eS4hIALgFwN9TSrsBjGPqhVpcocbhPwLgSgCLAbQRQn6tuaOKHJN2HrrcDcS07VxHCElCMQ4/oJQ+qb59nhCySP18EYALzRpfA3APgA8TQk5ACQ2uI4R8H9PrGM8AOEMpfVN9/WMoBmM6HeP7ABynlF6klFYAPAngbkyvY2RwOqZJOw9d7gbCS3e7KQdCCIESt95PKf1rw0dPA/hN9e/fBPCTqMfWKFBKH6KULqGULody3V6mlP4aptcxngNwmhCyUn3rvQD2YRodI5TQ0p2EkFb1vn0vFM5sOh0jg9MxPQ3gk4SQNCHkSgArALzVhPHZQSm9rP9B6Vx3CMBRAF9s9ngadEzvguKi7gKwQ/33AIA5ULInDqv/z272WBt0vFkA/6H+Pa2OEcAaANvUa9kDYNY0PMavAjgAYA+A7wFIT/VjBPA4FE6lAsVD+E9uxwTgi+ocdBDAB5o9fvYvltqIESNGjBhcXO4hphgxYsSI4YDYQMSIESNGDC5iAxEjRowYMbiIDUSMGDFixOAiNhAxYsSIEYOL2EDEiMEBIWRM/X85IeRXGvzbX7C83trI348Ro1GIDUSMGO5YDsCXgfCgxGkyEJTSu32OKUaMSBAbiBgx3PEwgHcTQnaofQtEQsgjhJC3CSG7CCH/FQAIIVm1B8e/ANitvtdDCNmu9jp4UH3vYSjKpTsIIT9Q32PeClF/ew8hZDch5BOG384Z+kL8QK06jhEjVCSaPYAYMSY5NgH4I0rphwBAneiHKaW3EULSALYQQp5Xt70dwI1UkWwGgN+mlA4SQjIA3iaEPEEp3UQI+SyldA1nXx+DUjl9M4C56ndeVT/rhtIvoA/AFihaVK83+mBjxDAi9iBixPCH9wP4DULIDigS6nOgaOcAwFsG4wAAv0cI2QngDShibCvgjncBeJxSKlFKzwN4BcBtht8+QymVoUinLG/AscSI4YrYg4gRwx8IgN+llD5nepOQLBQ5buPr9wG4i1I6QQjJAWjx8NtOKBn+lhA/uzEiQOxBxIjhjlEAHYbXzwH4b6qcOggh16pNfKyYCeCSahyug9L6laHCvm/BqwA+ofIc86B0k5scqp4xLkvEq5AYMdyxC0BVDRU9BqVH9HIA76hE8UXw22E+C+AzhJBdUBQ63zB89iiAXYSQdyilv2p4/ykAdwHYCUWN9/OU0nOqgYkRI3LEaq4xYsSIEYOLOMQUI0aMGDG4iA1EjBgxYsTgIjYQMWLEiBGDi9hAxIgRI0YMLmIDESNGjBgxuIgNRIwYMWLE4CI2EDFixIgRg4v/H3/u5iSdwr1/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "\n",
    "plt.plot(evaluation_history, \"o-\")\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Iteration\")\n",
    "plt.ylabel(\"FOM\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot the optimized geometry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "opt.update_design([mapping(x, eta_i, cur_beta/beta_scale)]) # cur_beta/beta_scale is the final beta in the optimization.\n",
    "plt.figure()\n",
    "ax = plt.gca()\n",
    "opt.plot2D(\n",
    "    False,\n",
    "    ax=ax,\n",
    "    plot_sources_flag=False,\n",
    "    plot_monitors_flag=False,\n",
    "    plot_boundaries_flag=False,\n",
    ")\n",
    "circ = Circle((2, 2), minimum_length / 2)\n",
    "ax.add_patch(circ)\n",
    "ax.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To check the performance of our final structure, we plot $|E_z|^2$ at those three frequencies. Because our objective function only concerns the average of intensities, the optimizer does not necessarily maximize the performance at every frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting forward run...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f0, dJ_du = opt([mapping(x, eta_i, cur_beta / beta_scale)], need_gradient=False)\n",
    "intensities = np.abs(opt.get_objective_arguments()[0][:,1]) ** 2\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(wavelengths, intensities, \"-o\")\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Wavelength (μm)\")\n",
    "plt.ylabel(\"|Ez|^2 intensity (a.u.)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us launch continuous-wave sources at individual frequencies and illustrate the fields."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "opt.sim = mp.Simulation(\n",
    "    cell_size=mp.Vector3(Sx, Sy),\n",
    "    boundary_layers=pml_layers,\n",
    "    geometry=geometry,\n",
    "    sources=source,\n",
    "    default_material=Air,\n",
    "    resolution=resolution,\n",
    ")\n",
    "src = mp.ContinuousSource(frequency=frequencies[0], fwidth=fwidth, is_integrated=True)\n",
    "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n",
    "opt.sim.change_sources(source)\n",
    "\n",
    "plt.figure(figsize=(16, 10))\n",
    "\n",
    "plt.subplot(1,3,1)\n",
    "plt.title('wavelength = '+str(wavelengths[0]))\n",
    "opt.sim.run(until=300)\n",
    "opt.sim.plot2D(fields=mp.Ez)\n",
    "opt.sim.reset_meep()\n",
    "\n",
    "opt.sim = mp.Simulation(\n",
    "    cell_size=mp.Vector3(Sx, Sy),\n",
    "    boundary_layers=pml_layers,\n",
    "    geometry=geometry,\n",
    "    sources=source,\n",
    "    default_material=Air,\n",
    "    resolution=resolution,\n",
    ")\n",
    "\n",
    "src = mp.ContinuousSource(frequency=frequencies[1], fwidth=fwidth, is_integrated=True)\n",
    "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n",
    "opt.sim.change_sources(source)\n",
    "\n",
    "plt.subplot(1,3,2)\n",
    "plt.title('wavelength = '+str(wavelengths[1]))\n",
    "opt.sim.run(until=300)\n",
    "opt.sim.plot2D(fields=mp.Ez)\n",
    "opt.sim.reset_meep()\n",
    "\n",
    "opt.sim = mp.Simulation(\n",
    "    cell_size=mp.Vector3(Sx, Sy),\n",
    "    boundary_layers=pml_layers,\n",
    "    geometry=geometry,\n",
    "    sources=source,\n",
    "    default_material=Air,\n",
    "    resolution=resolution,\n",
    ")\n",
    "\n",
    "src = mp.ContinuousSource(frequency=frequencies[2], fwidth=fwidth, is_integrated=True)\n",
    "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n",
    "opt.sim.change_sources(source)\n",
    "\n",
    "plt.subplot(1,3,3)\n",
    "plt.title('wavelength = '+str(wavelengths[2]))\n",
    "opt.sim.run(until=300)\n",
    "opt.sim.plot2D(fields=mp.Ez)\n",
    "opt.sim.reset_meep()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}