{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Design of a Symmetric Broadband Splitter\n",
    "\n",
    "Many devices of interest can leverage some form of simulation symmetry to reduce the computational cost and storage requirements. The adjoint solver and its corresponding TO filter toolbox are built to work with these symmetries.\n",
    "\n",
    "To demonstrate this, we look at a symmetric, broadband splitter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using MPI version 3.1, 1 processes\n"
     ]
    }
   ],
   "source": [
    "import meep as mp\n",
    "import meep.adjoint as mpa\n",
    "import autograd.numpy as npa\n",
    "from autograd import tensor_jacobian_product, grad\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.patches import Circle\n",
    "import nlopt\n",
    "seed = 240\n",
    "np.random.seed(seed)\n",
    "mp.quiet(quietval=True)\n",
    "Si = mp.Medium(index=3.4)\n",
    "SiO2 = mp.Medium(index=1.44)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As before, we'll define our geometry, filtering, and wavelength parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "waveguide_width = 0.5\n",
    "design_region_width = 2.5\n",
    "design_region_height = 2.5\n",
    "arm_separation = 1.0\n",
    "waveguide_length = 0.5\n",
    "pml_size = 1.0\n",
    "resolution = 20\n",
    "\n",
    "minimum_length = 0.09\n",
    "eta_e = 0.55\n",
    "filter_radius = mpa.get_conic_radius_from_eta_e(minimum_length,eta_e)\n",
    "eta_i = 0.5\n",
    "eta_d = 1-eta_e\n",
    "design_region_resolution = int(5*resolution)\n",
    "\n",
    "frequencies = 1/np.linspace(1.5,1.6,10)\n",
    "#print(1/frequencies)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll also define our simulation domain and set up a broadband source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "Sx = 2*pml_size + 2*waveguide_length + design_region_width\n",
    "Sy = 2*pml_size + design_region_height + 0.5\n",
    "cell_size = mp.Vector3(Sx,Sy)\n",
    "\n",
    "pml_layers = [mp.PML(pml_size)]\n",
    "\n",
    "fcen = 1/1.56\n",
    "width = 0.2\n",
    "fwidth = width * fcen\n",
    "source_center  = [-Sx/2 + pml_size + waveguide_length/3,0,0]\n",
    "source_size    = mp.Vector3(0,2,0)\n",
    "kpoint = mp.Vector3(1,0,0)\n",
    "src = mp.GaussianSource(frequency=fcen,fwidth=fwidth)\n",
    "source = [mp.EigenModeSource(src,\n",
    "                    eig_band = 1,\n",
    "                    direction=mp.NO_DIRECTION,\n",
    "                    eig_kpoint=kpoint,\n",
    "                    size = source_size,\n",
    "                    center=source_center)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we'll define our design region. This time, however, we'll include a symmetry across the Y plane (normal direction of the symmetry plane points in the Y direction)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nx = int(design_region_resolution*design_region_width)\n",
    "Ny = int(design_region_resolution*design_region_height)\n",
    "\n",
    "design_variables = mp.MaterialGrid(mp.Vector3(Nx,Ny),SiO2,Si,grid_type='U_MEAN')\n",
    "design_region = mpa.DesignRegion(design_variables,volume=mp.Volume(center=mp.Vector3(), size=mp.Vector3(design_region_width, design_region_height, 0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll define a filtering and interpolation function. We need to include the symmetry requirements in the filter too."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mapping(x,eta,beta):   \n",
    "    # filter\n",
    "    filtered_field = mpa.conic_filter(x,filter_radius,design_region_width,design_region_height,design_region_resolution)\n",
    "    \n",
    "    # projection\n",
    "    projected_field = mpa.tanh_projection(filtered_field,beta,eta)\n",
    "    \n",
    "    # interpolate to actual materials\n",
    "    return projected_field.flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also need to define a bitmask that describes the boundary conditions of the waveguide and cladding layers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define spatial arrays used to generate bit masks\n",
    "x_g = np.linspace(-design_region_width/2,design_region_width/2,Nx)\n",
    "y_g = np.linspace(-design_region_height/2,design_region_height/2,Ny)\n",
    "X_g, Y_g = np.meshgrid(x_g,y_g,sparse=True,indexing='ij')\n",
    "\n",
    "# Define the core mask\n",
    "left_wg_mask = (X_g == -design_region_width/2) & (np.abs(Y_g) <= waveguide_width/2)\n",
    "top_right_wg_mask = (X_g == design_region_width/2) & (np.abs(Y_g + arm_separation/2) <= waveguide_width/2)\n",
    "bottom_right_wg_mask = (X_g == design_region_width/2) & (np.abs(Y_g - arm_separation/2) <= waveguide_width/2)\n",
    "Si_mask = left_wg_mask | top_right_wg_mask | bottom_right_wg_mask\n",
    "\n",
    "# Define the cladding mask\n",
    "border_mask = ((X_g == -design_region_width/2)  | \n",
    "               (X_g ==  design_region_width/2)  | \n",
    "               (Y_g == -design_region_height/2) | \n",
    "               (Y_g ==  design_region_height/2))\n",
    "SiO2_mask = border_mask.copy()\n",
    "SiO2_mask[Si_mask] = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally we can formulate our geometry and simulation object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "geometry = [\n",
    "    mp.Block(center=mp.Vector3(x=-Sx/4), material=Si, size=mp.Vector3(Sx/2+1, waveguide_width, 0)), # left waveguide\n",
    "    mp.Block(center=mp.Vector3(x=Sx/4, y=arm_separation/2), material=Si, size=mp.Vector3(Sx/2+1, waveguide_width, 0)), # top right waveguide\n",
    "    mp.Block(center=mp.Vector3(x=Sx/4, y=-arm_separation/2), material=Si, size=mp.Vector3(Sx/2+1, waveguide_width, 0)), # bottom right waveguide\n",
    "    mp.Block(center=design_region.center, size=design_region.size, material=design_variables),\n",
    "    mp.Block(center=design_region.center, size=design_region.size, material=design_variables, e2=mp.Vector3(y=-1))\n",
    "]\n",
    "\n",
    "sim = mp.Simulation(cell_size=cell_size,\n",
    "                    boundary_layers=pml_layers,\n",
    "                    geometry=geometry,\n",
    "                    sources=source,\n",
    "                    symmetries=[mp.Mirror(direction=mp.Y)],\n",
    "                    default_material=SiO2,\n",
    "                    resolution=resolution)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can proceed to define our objective function, its corresponding arguments, and the optimization object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "mode = 1\n",
    "\n",
    "TE0 = mpa.EigenmodeCoefficient(sim,mp.Volume(center=mp.Vector3(x=-Sx/2 + pml_size + 2*waveguide_length/3),size=mp.Vector3(y=1.5)),mode)\n",
    "TE_top = mpa.EigenmodeCoefficient(sim,mp.Volume(center=mp.Vector3(Sx/2 - pml_size - 2*waveguide_length/3,arm_separation/2,0),size=mp.Vector3(y=arm_separation)),mode)\n",
    "TE_bottom = mpa.EigenmodeCoefficient(sim,mp.Volume(center=mp.Vector3(Sx/2 - pml_size - 2*waveguide_length/3,-arm_separation/2,0),size=mp.Vector3(y=arm_separation)),mode)\n",
    "ob_list = [TE0,TE_top,TE_bottom]\n",
    "\n",
    "def J(source,top,bottom):\n",
    "    power = npa.abs(top/source) ** 2 + npa.abs(bottom/source) ** 2\n",
    "    return npa.mean(power)\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",
    "    decay_by = 1e-4,\n",
    "    decay_fields=[mp.Ez]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot the design and ensure we have symmetry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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": [
    "plt.figure()\n",
    "x0 = mapping(np.random.rand(Nx*Ny,),eta_i,128)\n",
    "opt.update_design([x0])\n",
    "opt.plot2D(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll define a simple objective function that returns the gradient. We'll plot the new geometry after each iteration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluation_history = []\n",
    "cur_iter = [0]\n",
    "def f(v, gradient, cur_beta):\n",
    "    print(\"Current iteration: {}\".format(cur_iter[0]+1))\n",
    "    \n",
    "    f0, dJ_du = opt([mapping(v,eta_i,cur_beta)])\n",
    "    \n",
    "    plt.figure()\n",
    "    ax = plt.gca()\n",
    "    opt.plot2D(False,ax=ax,plot_sources_flag=False,plot_monitors_flag=False,plot_boundaries_flag=False)\n",
    "    circ = Circle((2,2),minimum_length/2)\n",
    "    ax.add_patch(circ)\n",
    "    ax.axis('off')\n",
    "    plt.savefig('media/splitter_{:03d}.png'.format(cur_iter[0]),dpi=300)\n",
    "    plt.show()\n",
    "    \n",
    "    if gradient.size > 0:\n",
    "        gradient[:] = tensor_jacobian_product(mapping,0)(v,eta_i,cur_beta,np.sum(dJ_du,axis=1))\n",
    "    \n",
    "    evaluation_history.append(np.max(np.real(f0)))\n",
    "    \n",
    "    cur_iter[0] = cur_iter[0] + 1\n",
    "    \n",
    "    return np.real(f0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally we'll run the optimizer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "current beta:  4\n",
      "Current iteration: 1\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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QesAYQg8YQ+gBYwg9YAyhB4wh9IAxhB4whtADxhB6wBhCDxhD6AFjCD1gDKEHjCH0gDGEHjCG0APGEHrAGEIPGEPoAWMIPWAMoQeMIfSAMYQeMIbQA8YQesAYQg8YQ+gBYwg9YAyhB4wh9IAxhB4whtADxhB6wBhCDxhD6AFjCD1gDKEHjCH0gDGEHjCG0APGEHrAGEIPGEPoAWMIPWAMoQeMIfSAMYQeMCba8udBJ+8CQGdo6QFjCD1gDKEHjCH0gDGEHjCG0APG/B0HFjsW0aWLiAAAAABJRU5ErkJggg==\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 beta:  8\n",
      "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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Lx338cQj9C9iru0xppsFgIEVRUKzhQuxzz3P54xD6FszzYFO4IQxDieNYVquVOI7z0YaJOB/zPiRJIlEUSRAEH20fTvibEfoD7EotZhlnkiSyXq/FdV3JsqzcE/3UNH2QtCmSab8XSZKUa+brauMR/P0IfQt2K58kiRRFIZ7nSRiGZaUWuveXYabemrXzw+FQoigqQ09RzMMIfQO7u2iH3nEcCYJA0jSV9Xq9U5XF/J6mVvqcqufSvBdmPX0cxxKGoQwGg50uPvYj9AfY9/OGaeVNfXUCfln2YKq92MYM6KEZoW/BtC7VVp9u/XXY74P5AGAgrz1Cf4B9AZmWxPM8WvgrswPOI7uXcQ5cuFzVf2bOU/VPXE91cROh/0jtCSH0RyL03UDQG9WeHLr3R+JiQ1/xUBNQhtADyhB6QBlCDyhD6AFlCD2gDKEHlCH0gDKEHlCG0APKEHpAGUIPKEPoAWUIPaAMoQeUIfSAMoQeUIbQA8oQekAZQg8oQ+gBZQg9oAyhB5Qh9IAyhB5QhtADyhB6QBlCDyhD6AFlCD2gDKEHlCH0gDKEHlCG0APKEHpAGUIPKEPoAWUIPaAMoQeUIfSAMoQeUIbQA8oQekAZQg8oQ+gBZQg9oAyhB5Qh9IAyhB5QhtADyhB6QBlCDyjjH/i5c5GjAHAxtPSAMoQeUIbQA8oQekAZQg8oQ+gBZf4f5mYn/v38idYAAAAASUVORK5CYII=\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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\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 beta:  16\n",
      "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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aoZKOrTD/qPdFyVmUvO8+1zdzwbNiF24PeyOlgBoLuVRlx0OP7Bz8XsmKZzEKwJkLFCjt8wZ0qNR1LPqWcH59PB7HdrutinP0nuooykGHsd1ui4E6tnA8pj9kbfeJXi1r5qazCDPry+fmrEHJi+AFRZoE3DSGwSIubc9z8PnalrDg6+wVvS/WO3R8DTd/OBzGZrNJ14U7tFqNCjPinbuvxTVajqpW/pDo1XPgbZuIJROsdlL8fgnu5Li2AN9Zj6HXTYOUvD7eIa/B1LGlP4AGxdjaadmriihz1bMKNog+YtfywbXO3GfOuWdtzjoEHBciQicD8WE4wsJkC8xi006K04/4jPfl/XgfvNbtStWCEbFzDExCsvAPs1f0nrzwDoiTb1bJwSq4myxkLpbR/DqCXjgOOhGdGccdBd9gQjsfoEMGhYWl2/Z6vbQDQXs4JsFiv7+/r4kTr7OxNjqhwWBQ83I47oE2qeCzGoTBYFCrDcC1RrET1z6Y99jSF8CPW+83P5/P4+rqqrrBBbun3EnixwehcG151nlAHDqrjoNmpbvlsGeQeRuAhx14n2sFIGy13PhMxYrpwxDcarWqdXLaibAV545Qx/98HVjwfD1LAcVerxcnJydxdnYWp6en1W2v7P6/Z6/ov/766x+qHT8JWGxZdRkLFvXicF+Hw2Htx8cr3eDHqftDxCpeLaXlMb0KHu1WMesPPFuoM+JdYREPByBytpxcnMPbok3ZXW9KNQg8XMpSj7yPDhm4Q+QOieMpk8kkLi4u4tGjR9UNLi36OntF/4c//OF7dfHZjfsxj68/NHancQyumOMfj06V1dszR7wXLtebo9PIKvPYxWeLqBVr2IetPEe2szE9dyiZV8Fz8zVoyGRDFu2UgI7J2UpzcY5WGGalybqa8Gw2i/Pz83jw4EH1/OjRo3jw4EGcnJxU97qz4N+zV/S/+93vfqh2/CRgAUCQEVG7EUXpbqx84wp0AGxdWfR8r3oWh968EW3JUnRaMKQBM+yrFo5n4mVeBWcjNHKvFluLdLgT01y6dmSlGgI9V5YNwYSns7OzePz4cXz++efx9OnT+NnPfhaPHj2K8/PzSvA6RdlE9PZdiC+//LJzV4mDVRFRBYUmk0nMZrM4PT2txotYy45nyvHto2F10YnozTFYGBCvBp9YeNxBQAS8LBfvp644fz/2XDTIVUoFapQebdts3pfSqmvPYlXxlfL8nMnQc6P9w+EwZrNZPH78OL744ov48ssv4+nTp/Hw4cOYzWYxmUyqFY06Turm7r0yz58//36a8ncG5s5Pp9M4OzuL8/PzqgNAoIgfunIt3Fh+hjh0fT38zcG5zFrruvrb7XZnnX0VPQccIXj2LDS4B6uv42rtWLSGgAOC+D46POI5ATxRp5SK5CzDaDSK8/PzePz4cTx58iSePHkSjx49itlsVnPnnX3KcXfYAP5Rsqt+c3NTBYpYRCoMDcbhfVjA7E6vpR8sCx6LYjKcQgSckmORZzeMxPYR9QU6sjvLalAvs/LqiXBHyMG/bM08PT7aNRqNqgj92dlZzGazmE6nVQdsd/4dpd+QRd8QWKflclkJ6O7uLsbj8cGpsRC95qHhqmJIwLenUiFG1BfjHA6H1XvscmuBC7efXflDbr4KXlf45e+oNfV8bL3lFrdHaxYy4WvcYLvdVgFTXi5cbwJiyrg4Zw+ZFb27u6u5qUht6Y9NXXMut42or2s3Go2qNB86AQ3osQh1vJ3lshVuD7/Hwuf32KVnLyRblpsFn1l5vjMPxyq46CkTP4/5uTAJx9TVhkwzXHvfEFg0FKHc3t5W1koFw/tkgTEWFESM4heky7S8l4N9PEZHag1lqTi+knkO3Gb1GDjWwPfe404pCxrimLoMmIqTYwHj8bi69fdoNNqx+jykWK1W6b0EtP2mjN37lrDQ7+7uqjF0xOGFMDQfv16vKzedt4f42XqxYFBLoI+SsCPysX4meA3cZeLfd4stHRbwPjgmtofbzp/d3t7uxA/0Wrq89uOw6FvA1gwRaq6zVzTPze+zAHq99zXrPDZnC4YxOYtKc+loUzY+b1qRlo31ueItEySuDeBhQRagRHs4ZanH0WERFyZp52Yr3w6L/gNQCx4RNfeat9G/I6IKBJZy8ZzfZwHy2LnUDryvZMLSz9Vjydx+bg+/n8UYOCWoAUNsj8IidBI8vNFsiLrxFvmHYf/oB8I/0I8ny0qY9tjSfwClsTA+4yGAWkDAVo8tGI+pM8um1WmZ1ctSffteR9Rr7/d5EjqMyIQITwWuOV7j2rB7zyv16LThLP/P+1v8H4ZF34JszI0gFD5nDgXykMfWm11ooEzd5azgRTuKfW3fh8YsIExeGAPH0QIgDuRpxgLR+iyQp3e54SnIWpuPtKcOZ/j8Zj8WfUuQNtMa+yxd1jRlx/exQxmpRuvx4JRZFlgriZvH1to+DVDq90WqjMXeNGUHa70vZQex4zZXmrLjvD1En5Xqmma4OGcP6ppz+gqr3vLa9ip8FpIKnyvdOK21rzhHi2W0A+DAmVLqDDTyj4euypOlzPh77ivOyfL0PLVWb3fFxThZcQ46DHb/be2b4+KcFqB6DiWg0+m0Er1Gp1UQcGXxnlpuXUk3c9PxHoue5+6r16H/PxW+Zgy0k4P4udNCjQI6FwhQMws8fMlKi1X0at11fK/1+LqdrX5z7N43BALFTSvPzs6q+fWaXspq0zlQxRbpYyfcZDXxHDiLyBcT0ThDlvLDd8CYPps4o7n0zNprh6Tjebb02XXSCTfb7ba6VfXNzU01IUrTpl2ndC0s+gP0er3Kuk+n0zg/P4/z8/PqvnW4kw0H9WCtgc4dZ8vE4189DlDXlffhjoLdZ1huDSDy8TgoxhFx3YeHFlowpMUzLE4OPvK+ODdPrWWrDY+Ivz+3c71ex/X1dbx9+zbevHkTs9ms6nwjojY12eyyV/RffvnlD9WOnxQsCFhg3Ip6NpvFbDarbketi2ioOxvxXvS8Yg6m6UbUha8BNx2vsqA0sKfFL6W0Fou69FlpUg+LiRfR0Flx2Ic7DPYOsvX1NDrPmRI+3t3dXfXdEQRFJzebzaqO0+TsvTK/+tWvfqh2/CRQkWL8ikU0+IEfmwbkOBIPkbDomyyXxRaRRVhae04XqQC8oEU2ducAXuZKa4Rc4wE87ZUXxdRlr7KswaHlsrAvD5U4psH7YW2D+XweDx8+rJbLwvz6rlL67ntF/5vf/OZ7acxPGeSY4XLy+FR/uPxjZMHrwpjb7bYmeix/jRs+6kozmTU9tDAmP6ulhahxPDxnY/Os1j3zDHg7HpuXOic889AC+2pMANuy98LDmqOjo1gsFnF1dRVv376N169fx/Pnz6uFMR8+fBgXFxedXxjzl7/8Zfr+XtH/+te//l4a81OFBaBLYKMTWC6XxSWwMfZHJJ4ttq6GC+HrEtjZmLnNEtgRsVNVx7AYtbiGxcfr3XFQTUWLbdlNLw0PcB5cD3bztWPhDktr+HkbjYVMJpNK+A8ePOj0Etgl0e9dGDMiunWVCPwg2Trf3NzE1dVVXF1dxXw+j+VyWQ0BsJqLLoGtokfHwctgs+g1AAXRl252AfZZU7aoKi6O3nM5bFYSmw01NI+ut6nW35fWLrDgeZGRiN2CInZXOZ7A7ej1elXsBYFWneTTFX7/+9+3Xxizy2DsiAAdW++I2LHO7NpzRB/utt7gklNasKSZ6FHNxreLKhXQ6Jg7e0/FxWN5rYNn4XOOXAWPzlE9BLWu3Amo6DXPj7brg4+Fc3JwdLvdxps3b2rBVB7yGBfnHATuO6rw7u/va5V4mtLS9BtcUA6OrdfrGI1GEfE+hqCuOs4NYejYW8foSpau4n0zd10Fz8MKtt5cWMOpN05H8pAA58azBgqz4QN/D/Zi+HtkN/Xcbt8V7pgytvQH4HGyRtfxg+WcOIsNAmaPQOvlOT0YUZ99p7l0WH21olnnzOdmeB9Nz2UC1NfqumediFbo8RAiy0hk5973v+C4AHsjNlLNcO19QzQSzhFrXgCCf8TcGWTH0jSburLciWCIwDPdSmNVFjbawcff11loO7nTyq6Fvl9COyntHDhGkVl8hffJYgemjC19S+BWYlbYcrncmfbKhSiw5uoeZ2Nu7QRYJLqCzL4Ive6HDgOvMWTBNogPIFCGslvQ69WXBUOKcR8oieU6gMwaq8DVcyj9D9TLMM2x6BuQpdBub29jsVjEzc1NLWDEouWVa3m8XBK/FrLoOF9jBJrCYliYKiIemuBzHYZoaa3epnqz2aRDHm6juvDoXHBO9RQYHRZkn2fBP3MYi74BLBoW/Hw+j8Vikd5pZrvd7uTqNUiWWfzMZdZgIVtlziJge7RVOyKOZK/X66rdLCB4BNpBafAti96PRqOd+9KxC86dCNrKQTd4E9z5OOr+6bHoW6Civ76+juvr60ooEe9FiAg95+qzareIfE36rBNg4fO+vB2LHueDNdYJLWpJS7l4DrCp6HkiEafOslw/b9/v96saes5O8LAA8Qhb80+LRd8Cde3n83nM5/Pqh8ku+/39fa02P6Jer84Wnl3dUskoj+Wxv1anqavPnQx7F9lYWIN/3HmpK80dAlt6LdTh3D1X7mEaLeoPsB0PXdTqcxvRWfH1cqfQHIu+Iere39zcxPX1dczn81qwjifXZOW4OrbWgp0sSMauOc7FUXgdAgB1q7OUHPbX76mWnT/T42rFoAo/WwcPFYk8LID4eWjBxTvaBnzG18IcxqJvASwfR+6vr69rlp5/4Cji0UUxIHAEwFCog88iotZR6D74HO/z2J0/i6gv1ZUJns+p31WFphHzrDJP5yzwvIVs7gHPOtRbVuusPcQC4GFosY5phkXfArYwLPyIeo08RM93ouXyWQgU03Ezi5u9huC1Qk3n0+tswFKKS4+j58tEzwLTcT+P2XWsD3FD9Cx+vVU1V/ix8Fn8mE6L9rk4pzkWfQvYhWcrpmNddAio2YfAWZS8xl1mpZBTB+zC47VW+fFstJLLHvF+Wi2Ow8crfW8+DncemavPnQALGQJn0etqt9phcPAR4r6/v4/r6+u4vLyshkSouzeHsehbgh8e/6j5B8lrtsOSq+hZ8OPxeMcC8zMLPXPps2WwdU4+H5NpInj97pmrr0MI/puvES9+qULXuIN2IHzc5XIZl5eX8fLly6qmAMc3h7HoPxD82OF+YlFHrOqCu69ivTZeVBJu/3g83omo49jI8+9bSIJn7nElIFv7kphLrn1ba6/ZgCzCD1Gz254Jnc+lnQlnE5bLZfztb3+L09PTaniE6+jJNoex6FugOXMIga0QctBaQcdCxU0tjo+Pd2aIqZDgKeCW1hwP4FVweWZfZu331QHo5/sCeyVrX4r6s2ekD84MZNdYz4vtb29v4+3bt3F+fh6TyaRWYWjRH8aibwlH0LnSLiIvlOGHLncNFzebWsoPnsaL46t7ryvisugPCfvQ5/ui+NnQhP/OLL96NvydNHbBsHd1cXERs9msWgcP1+Lly5dxfX1djfE9zt/Fom8BB894mWW2+KUfGrZlS88r4OhDLSELPWtP6ZGJPhNUW0uP9/gz3jbbL/MK9Duw6EtWf71eV6sRj8fjOD4+jrOzs3jy5El8++238erVq1gsFnF/f7+zCq+x6FvDrjX/ODWSrcKIiFqHobduyoSvYsL+Kh6l5GkcEvu+95jSOfG+VgZmnoK2tUlnxZ0HB0NPT0/js88+i1/84hfx6tWrePnyZbx586Y21Cq1u4tY9A3JXHReCw/17JxLVjcWP+5sHK+dRmbt+Rjs3mOOPZeksiXdR1MhZMG1zL2H+JsMKyLqq/k2Ff12u63+D+PxOE5PT+Pi4iJ+/vOfx3w+j7dv38Zisai2a5KZ6BIWfQs4L44IPH582ViW6+xZCNohaJWbpq50OyWzpLwCbJbC0331e+I5i9pnY3PuYNQ9L3kT+4Yn+/bDd8L/YTKZxGw2q64ft6cUH+gyFn0LYOmxACbSbggabTab2uIWEXm1mC7JnFlRrnDD36VpqngMh8MqbViq0tPxLT/vs8hZJJ7bi324Y9wnft42C15maFvZ2+HvqbcFM3Us+hZA9BhLHh8fV6KPqAeaUGzoCsgAAAbESURBVDTC7wMMBQD/2CEoLUXlCkB+8N129LZamsbDd9g3xsY2/Mxt43JjnSLMUfR9dQMlwZfakAUPWezZYh6mjEXfAvxQYeFxiyvODWuaClZJf9RcjML7akELV/ihVn25XFZ3zOW19ln8eq97FoNG00u58kz0WiILSw9xo1MsnV/nILBgMfc/E64OI3isrm68A3bvKHV+Fn0DWAQcQMI96mHZs/TSZrOpqvSycX+v16utosOiZ4sOwfP99JCyYtHzGv18R1sVhWYaWCil2XoseK6qwzViL0g7IC1WYtec71DDn/G5OX7Q6727kzBSoPp/Mvux6FvCln4ymcRkMqlFzzXq3Ov1qmmgms6LqE8L5bvdYBGO1WpViR21+nigHZnYWXAq+iwuoBmGLB2pE43Ytcd10TYiw8HC12FAVl3I4tWg5tHRUVWJh+9rmmPRt4Dz7HDvT09Pq2j5vmq4o6OjuL+/r/LsEbtFLGzt4e7e3t7GcDiM5XJZEzW70Fzll/3NomcB86QWFj1bY+4otIaeYxOw8jzs4c4JomfB8zyErL24LjxxB9f69PQ0er1edQ7THIu+BZqym06nMZ1OY7vd7lgqHq9C8LwUlAawNNcNkcFT6Pf7sVwua+fQAJa+1gk7OE8pJcjfUcfNGrlnK8+uPUSP58zj4HkI6plwm3FevYsNSphRmIP/gWmGRd8S/FgRvZ9OpxERqZvKAuWVYbDOHcQTUQ9UcZAPxTzsPUCMbImz99XziNgdz2fFNRpsYw9BYwHs/UDEauWz2YJ8n0B4ThoDQHt5WLHdbmM0GlWluA8ePKi8FdMMi74FGsyD8NnSq8XHtsvlsqrcY/eYRZ2V12Y/5ixgldXk7yvIYRFrcU2WYuP9ssAfPAsWMK5RaXowrg0H/9grAFqngIVJLi4uqjsH29I3x6JvCVs2BK0g+szd5o5gOBzWVoHFA8KPeF94cqhYRfPWEfUOQotxeD925/flx7PUWbY9BL1ararvti9lyMfOXHye18BtRrsxtFosFnF7e1sbLjl6fxiLviU8rofwM9Gr8DlYBVcf2/C672yF+bWKVT/D631oALG0vbr2Ta5Hr9erLPJwOKx5Mll1HFv7UkAPx9YhyGQyqQSPjIdpjkXfAi0qgXWKiMrK6YNz1ngg546Ogpd50oIejGnV8u+z2PvEf2g7tsaHxMTXQ6vrUJHIQwQ+Hw8lBoNBlaXQKL4OL3A+DiQe+s6mjkXfEA2Ycd097vOGwBzKY4+Pj2uLQN7c3Oz8ze9hBV1ePw6WLCumgRVUC/6hlWlaX5B9pq85eMhuPL+vaJYCRUr4fgh0spfAFX1aA+DS23ZY9C1gwU8mk1reXSekZItBZstAo6yWH3wjCBY/59Y5f60R+YjdFWzAvo4gC96xcLVT0Eg8F+Fkk150OKKRfy0ywrXmAOBwOIyTk5P47LPP4uLiIk5OTqrAnoXfDIu+BVyYA0s0nU5rRSrZTDldFZZXg2XxZ53AoTXh0cHw+dj11/hACRaxWlgtNoK4OI6R1fxruk/bhWNrBJ9TfZrfh+gfP34cn3/+eZydnVWiN82w6BvCqabxeFxZnWxsqSkx7QjYYusMOvYG2EtQ0e8TfhYDQNv4Gd+Lv1/mnmtlIXcMSNVphSCPx7PrgXOymLN5A1qPjzqA2WwWDx48qNbJs6VvjkXfAhUD3+oZlKLrWQCOC2S0I+CyVy6X1Yo4/VstapvINgu65OrrI6sE1AAcXwv2OkrHKB2Lhc+Vf54/347egWCPQ6ICW8tDOfTsdWZ1mzy0cKfJZ1lbSrCw8cyizf7OOoFSUdC+9hw6jrZNJ+7YyhdJL4pF/xF8TJqoaVpNXx/qQD62bZl4SoIqdQr6um3H07QdWedialj0fw80FUiT7T40ZfehtNlf04vfxzmMRW9M10hF7+iHMR3DojemY1j0xnQMi96YjmHRG9MxLHpjOoZFb0zHsOiN6RgWvTEdw6I3pmNY9MZ0DIvemI5h0RvTMSx6YzqGRW9Mx7DojekYFr0xHcOiN6ZjWPTGdAyL3piOYdEb0zEsemM6hkVvTMew6I3pGBa9MR3DojemY1j0xnQMi96YjmHRG9MxLHpjOoZFb0zHsOiN6RgWvTEdw6I3pmNY9MZ0DIvemI5h0RvTMSx6YzqGRW9Mx7DojekYFr0xHcOiN6ZjWPTGdAyL3piOYdEb0zEsemM6hkVvTMew6I3pGBa9MR3DojemY1j0xnQMi96YjmHRG9MxLHpjOsbgwOe9H6QVxpgfDFt6YzqGRW9Mx7DojekYFr0xHcOiN6ZjWPTGdIz/DwznD4alkpvxAAAAAElFTkSuQmCC\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 beta:  32\n",
      "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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d5/K6waIVjA3KbSo5VSuvwmcE31p6lgLzeXYPPG3fFXt9m3azN70ONhCx23dpao4Lk2KbbLrg3y4u+gzQla5UKmi32zg5OQldY1hKe3R0hE6nc6+VM5BsU8Vouwo/VnBjxacbYtJSqouvLaG1qaTtbadW1lbA8TVVoHZfPbvTLoWvHYR0fYJuq22DgMQF/3Zw0WeAFnF/fx+tVgsnJyfBqjabzURzC0bi6bbbYByx69J1rh1LhenW1lw+CtztAHtzc5PoJMtjKUwWyNjeeDweuFtfoPvzqdB18wndgVeFzptW1VHgsRZiLvi3h4s+I5zX1+t19Hq9IE7m3O3e6uo2a8todcH5hbdiAO5aT9sCFbW8AILnYNtW2x10Oa/mc+2go+67Tgd0Ky67Yae6+nyuxi7sa6SlD9/k/8wHlTtc9Bmh6BnB55eXqbe0Za927myj64pOB9brdRCaioy/87kUPCvy+JiKV0th+Vyd23MQ0CmEbYKpEXe1+ip2PS/fo96nfa5vSpgu+CQbRe8f1its2kiFTzc5ll+PYQN02m8u9npqra3gKVwOJjxnmuhtpRvdb7XIKmjrtttqOXuL5dc3VQLS09FBMXas87i4pX8Amh/f29u7Ny9WEdkAXdocXaP5+joqXO03bwN5GjfQASBW0qoFPlaoNlCnotY5vVbLaXAuLRKftjZcvZpNpK0D8AEiOxtFv+ui/LxgBaxCphtu8+TWstve8Vqkog01gbtoPy0vN3Gke24LdKylV2Haajz7O19Xb3oNNk8fC8YBr0TMKUfs+2PFv60IJ60s2Kb6lGKxiFqtFmIqaa2y84pb+h2wxTG6y8t0Og27vOg8+ebmJkTveQ7rqtvNMayV1NfUFBl/11JcFaNaT3W9NXDH11Bidfgs/Lm5uYku5NHj+Jpc7afEhGcHuTTS6hh0MOLPlUolpE7b7Taq1WoYEN0reMVG0f/1r399W9fxvcCuWdcFNhQWC11GoxGGw2FYJQYgVOtpa2rO89MGDS4ttbvhpBXl6O63GhzkdcZEb629Wle93d7eBsvIc+kgxqnMer1GuVzGcrkMn5la9/V6HQY7/WzTavpjgrTXpqsHOQDoMmZa9nq9Hoqker2eiz7CRtH//ve/f6Muvp3fvavzWxeTYikWi6EPPaPy6/U6CJ8pMG6hzOAet5bSElyNwquV15LamOjVWtu5uG4LpZF7buqoc3QreL5f29dPC4Nix/M5/HxstD7tOdYj4Oes04jYc2wff06farUaut0uTk9P8eGHH+L09DQURXGpcq1WCylMF/wdG0X/u9/97m1dx/cGCpRfai6saTQaiT51QHL7Zoq+Uqmkit5GxVXIsWi3BtfUheVgxiyCvTGib0VvF9roPdH1+Xyvuumkehuaj495EXbXXTu/ts/Va9Pn08pr2/CDgwM8efIEP/vZz/DZZ5/h448/Rq/XSyxwSltAlHcKmz6IJ0+e5O5TUrEUCoWwZl6bX7AARy0qo+a6iSO9AxJLccVcbWIj/sRaeN07zhYEqfBj3gKAhOusr2unFbG0Xez6dNDQbal1wATuUoq8t8LXAYfvqVQqodFo4IMPPsBnn30WBH98fIxms+lBuyRRN3ejpX/69OmbuZQfKNyDnRtLcr5IOM9kNR5XvQFJIVlrba2qFZ91lykEvg7rBGjl7TkA3Avi6TxZBaXFRLGYAr2VWBEOgITY2R5MB06tRIyV+dr1CLb9ValUQqvVwpMnT/DJJ5/go48+wuHhIarV6hv5n/8Y8eh9BuzKMi6oAeK97WONMKxl58BAl9Raw5jLzONoIdmDj1Zc04Z6Dit6ILm0N+26KdC0wCDRbbpsbGOb6LX2wA5Q+rqlUgnNZjOxN4DP3eOkxbNc9A/g9vY2zMm1z30s2gzcLyTRAYKuuW2TZctS7YDC6Dp79K1WK5TL5TDN2LQ9NVELz4FHu/fYVJzN1ccsPHsFsmc/hc+BSRcD2RSm3TmI4tcqRAAJT8sOUl5bsh0vzsmIBtY0PaZfOjuvjOWsKbbFYhHSXxSzTXfxvGrhNwX/GMm3g08sv65BOg4+sc01bOWcHZA4nbF9/+xGm+qu26XCKnq7qIe31WqV2A9gW9mzcx+vvX8AsUo0FRaDgPp3/qz5cBWoDiaxLjaaHrNzXhuEo0VmfpriJuppxIKC2rVXG3NYdPDSZp/q2sf23uN12uIju06A99orn0VPaRF6Zzvu3r8GGuUHEOaU6prbgVMfZ74bABaLRXDVVWRaO7BarcKaeYotrVJO4QBj22PbOIQNwlnhx54LIDFYUPQ2g5EW47i9vQ3xiOVyif39/XvLenXAms/n93b8cbLhon8NrKA3LRqJzc/pgtO6s+qNsQL1HlT8FLBWyulc2w4EvNH62+tQa6ltt2Kuvg5G1kvQtuDazttaeQ6KHPhiN71u1jjQy3EL/3q46B8Bte6xL2HM2qv7bSvxgLsBhN4D7yl4fZ6952uklbjG0KmCdfvVE7CC1BJgLRDS4+1zFLs6kHX7OpDZc7ngXw+vZHAy4XGeHz5u6R+BbemitPSb/qyWE4jvb6/ReFuxpuexz9nFIlqPQSvtGBPQgiL1CGwdAacnuthIXXr92S7X1QU+WkGoGRN9vpMdF/1rYMVug29AumW07nShUAjBqVggz86hY4KP1bnrQGAj8Co6Daxp9xwguQBJBxH+zECe7QBkXydWMBRrKGIDeZrHZ4rTrud3dsdF/xpYix27j6XsACSErhV5mnu2KTubU+fPsfm0lvUCiArOCk/FR2vKtGJaTbteE6P32s6LKba0HXjTUnaatmMFJAuiAEQ7DTm74cU5GbE18w8tzlGrrdV4seIcnlsj61rFZ7fFUoHZxTT6Pugq031Xa86IuVbmaWGOrS60m3JqNZ6m7jYV57AjkB00tDiH3kSsB4F/X3fDi3MegOa0Y6m1mNCsUCiuTWW4fJ4+J1ZEo4t81APYdA1q5Zku1LQgrf2mMlyurNPr0rp7W5XHY5g+tJtm2N1rdVmwluGuVqvEDj/+Pc2Gu/cPgE0cuLxWRU/Rch29Fa9aJYrzIQtuaNkpNHXxNy24sQtZaOX19XQA0AU3OgXgY/ZzYWGPdrTR3gK66lDLbNWl1wU39C4YZ2CgsNvtBs9Auwj5AHBHmufjos8A2zHpxhb6JabYdQ25ClibYRCd18esvH7xebxdWquuve58S2jR9Zy2HiC2Lt527bGbbNhuPxzk1PPQ6jwrel1wo9bdejc8Hng1sMznczQaDVxcXKDX62F/f/9eANRJZ6Ponzx58rau43uFltfSaum6cN4oLn7xi8ViOK5WqyW2qNYveVoTjU3R9bQmGrTwKno7cKjgdV5um2jYv6n7HeudrxZfha/ZBS3ljfUX0CYasc/DFgSVSiWMx2OUSiXU63WUy2UAwMnJCZrN5hv5PvzY2Cj6X/7yl2/rOr4XUHS0YsXiq3ZZnU4H9Xo90ZmGx6mFomvLQJYu/aQ4NA2lwSi15jayntawglZVLbzGGVRYPC9dchWYddPttcaCbLF2WdYjUeurnoy+jh009H+hXpAOJsPhMMzpdS+9w8PDMNjaWv88ElutCWwR/a9//es3cjHfZzTIVCwWUa/X0Wq1QiCKwtE00nw+x3q9TiwtrdfrieWfPGes/XWscYSmtDSVpgKzte8axOM51MrzPaU1sVQLbzeojO1Cq2veX6cxZizfriv4bF3+3t4eBoMBBoMBzs/P8ezZM5yenobNQ9kYk1MKLSDKE7/4xS+ij28U/a9+9as3cjHfZ9RC8kunXVlubm4wm80wHo8xGAwwHo9DY0wVPacEFKWmmrT9dazvvbX0sY0rNXilrr5aU61e43TFzvXVpdemFTaqTkvPx3mc5vk3FcykVQamid4OFrYSsVAo4PLyEt9++y3+9Kc/BYE3Gg0cHh6G7riMu+SxkOdBov/000/fyMX80LACnE6nwXVnAwzgroce5/4aVKM15KAR2+zCWj6+pi1U0SkFcL/llRW9LlqxGQUNFmoMwTbAtN6GuvZ0zzU7EKvMi9UvWCHqnJ6o0PU47aLLKUqlUkGv18Px8XHuN7v47W9/G33co/c7YC3Mer1ONHRk2i7WCdcGrph24t/K5fK9ba14vA403NaqXC4nBgoNnsVED9zFHmx2IFawY28x191OCazgNeio2NTgpnv97NOuNVb2O5vN8N1336Hf7wdPSwuLHC/O2Qm1jHYA0LlmrDrOip4/22h37Ausouf5ptNp4hr4P9KcPx+3S1P1umn9VBDWpeZ5mRvXBTa8t8fb69/0WCx1mPa8mOjTWK1WodOOcx+39A9A58l0fVUkdiGNFo1wvTitvT6u5weSPe908NABg68di5Bb95cdanStug4gNmWnlluttDbpIMvl8t6KOn3fVuz6Oml/V9wAPR5ee58BFSPn5pPJBKvVKkTqdy0LVS9BPQIAiWkEU4eaVVCvQJfi2g416uZT9GzASWutrru2z9YBi54Bpwi6Cq9UetXcs1AoJPa20+ChHQD4dyt4F/bbwS19RlTww+EQ19fXABDm6raGHohvca0BKwo+ltayC2AqlUoiZ89jdT2AWnodPHSw0CmFutg8jv3q2AJLF8Fop1ot3uGAwKi+ZkK2CdsF//Zw0WeE4ptMJri6usLFxQUKhQJarVYoJtF6fDvHtg0hgOR6fJ0eUDgAEg0kuXZ9vb7bHdbm6oFXIrZFKvQIuB+dFZsud9WKPF31po8xBcm0nm6lzeCk5vK18s8DbO8GF30GKNzFYoHhcIizszO8ePEi1IPT8qqF0wo+W2yjorMFKBq1prh1vzpNx2n0Xstw6dbrGvvZbIZKpZJI+fF1iArfdrHROnytOZhOp5hMJqFgSQcAPkdFbqv3+Pk6bx4XfQboJs/nc1xfX+Ply5d49uxZEL1+kW9vbxNLSvl8zderi68itzlpnfdzGa5G3lXwWsFGb4Ku+nw+D00u7MIWvWkgTxts0GKr8FmZOJ1OMRqNEjdG0G01X6FQCF4Apxm8Dhf+m8dFnxHO5yn658+fo1gsBiFpYwi79ZKd1wN3q+xsANAOArqOXiP3wN2gYHelAe7WESwWC9RqtYT1Juph8DXTina0IIfvk8Ifj8cYjUYYDAYYDofhXgcBegAM/KnwYwE/5/Fx0WeA8/npdIrBYIDLy0ucnZ2FKLgGtmazWVioY1fbEU3bae5cU3Ia3KOwgeTGGuoFxDaVsNbazuV1ShEr1Y0V7KjHorvQUPjX19e4vr7G5eUl+v0++v0+BoMBRqNRmAJoJoCeiR0UeQ3O4+Giz4CKnl/sfr8P4C4tpi7vcDhEo9EIu8WoRaWAWcWn4rYLRFT0FDoX1agXoFV5ttTWWmo9t60p2FRoExO/trXiugT9fC4vL3FxcYGLiwtcXV0F66+uv51CaCWg87i46DPCOT2DVuPxOOFu090dj8fo9/thtZe2s7L95BiM0/XjQLJWXRedaIrPzvet1Qbi1lrPG7ulYcVv3X1a/dlshtFohOFwGIR/fn6Oi4uLYP3V6utafW3SoUuPNy3ocXbHRZ8BLYuluGezWRCtLp0djUZotVpoNBphxR2FzwU53HI5VgZL7Nxe3Xq70CZWVKPXrvf23Pqz3sc+A72PLdRpNBpYLBZot9uYTCbo9Xo4ODjA4eFhQvTD4fCe6G260C74Wa/XYdETn+tkw0WfES2/1WWmutZ+uVxiMplgNBolBM979o1rt9vBtdU5vL5WbL4dq+ZTLyEmYp5P2ST0TS6+/hyb79/e3qJarWK5XIYGma1WC91uF4eHhyHAp4JXt17jBfx8dCCYTCZ4+fIlvv32W5yfnyeET+/IvYF0XPQZic2P1Qrp9srj8TjRx043eGw0GphMJtGurnqvc3cbE7Bij7n220qptwl90+dg73nj+gLd1LJWq4UuRBrFt70BiMYLNOPAGomnT5+i1+vhb3/7G168eIHBYJAo7XXScdFnJDZX1pp4RqHn83kimq697DiXp+g1b26tZqVSCeLXhTxporeu/SYhp/1tm2vPY1SoKn5OQaz42RrbNtcksfX+ulafwp9Opzg/P8fHH3+ML774Ap9//jm++uqrUBLtbMZFnxEG0uyiGK2Q0zihWoYAAAkrSURBVAIUjYxrEK9WqwXX1garbPSa3V5tjb66+Tog6DGx69/1fSrWEm96nqYc1TPhe7c1/wAS12+Fz3velsslPvzwQ3z00Uc4Pj5GrVZDsVjE119/jaurq7Adl+f847joM8AvZVo+3EaWtdKMt729vWDd6dprsErTVmr9VdyxSj7+vunxXd7ftr/tIiK9DhU/rb9+TnYA25ZBoNVnPzx6EKenp/jHP/6BFy9e4OzsDP1+/94SYB8AXuGiz4hWxtldZHROaeeW/ELbmnatbdfH9DgVCK3mrukrK54s8/bXwQ46vM5YDQLvN2UvYsVEzWYTT548Qbvdxqefforz83O8ePECX3/9NZ49e4bJZBKte8g7LvqMcPms7ipDi2LTWIpafY30a4WcxgbSuuRuy6vb3L51y7N8+dMsZCyIt8u5YhmKTWnD2LXosYyVNJtNHB8f48mTJ+j3+/jkk09wdnaG+Xx+bx2D46LPBL9oFD23tdo2D7XnYByAJbi82dp9XcKqzTOslafbbK8zdv0xdECJPW5/t1OZbanATa+fpUbAPo+vS++rUqmEAYCpVBf8fVz0GaGl151uGDhSS5YmCp3jctGLjdhrOS8LgLRdti1aYRNO2yNP59K7BLXSxJtWkBOLY8Q8kG1Zgl2DhPYztB4OS5vr9frO58ojLvoM0DVn9L3RaKBWq4VltdZqM5oP3BcUrRC7zPAYLUrhIhaWq7Lst9frodPpoNlshp10dPsou4llbH0+iQ0EMQHa92ZLY/m8WF+ALNZ814h7TPjObrjoM8J5JHe+6XQ6wSoDCM00tLQ2zU0musyVlp4tqFhuOh6PwwIWip4RbG4HzfX7sQHAzm2tpY7FDBRNI9oaeQqQltbuoBurKLRR+xhpnoZeZ8xL8KDdK9IGRBd9BjR4VK/X0el00O12MZ/PEyvb6O4zwKfErGyhULhXhEJxcXHPYDDA1dUVzs7O0Ol00Ol00Gq10Gq10Gw2w17wvOkAoJtuUCgqYl15F7PSPJ5FNfRCtMZAA5x2ww/dj87WFGzzDPg52WlEbFGS/p+cdFz0GVHR93o9HB0dYbFYhPSdtagq5rS5K1196zbrJhdcqspyVt0ymyLXx+n268YbWdp2aZUfXXoKXsto+f729vYSi4gajUZYbKQrDO2qQPUIYkFRXq9OJVgrwaIlF3k2XPQZKRReFdjU63UcHBzg+Pg4NK0slUohN1woFEKHGKbrNuXV9XEt6dXluhR/v99PLODhjYt77H56bOLBCL/WBmhakAJSEVJQPF6Di9zDj89hnINTD3ohtPwUKusc9D1oClS7+GicgwNMqVQKA0xskHA246LPAL9cpVIJtVoNvV4PJycnob68UqlgMBgkrBcXlTBavynVxb9p9J8BQZ5DS3qtVdY+eRQThcZjaC116aotALKWF0jGGuwmmmp5m81mWFjDmEOj0bgnbKY8GYvgwKA7/fIz0RjHev2qLLndbqNQuNuq29kdF31G6MJXq1W0220cHx+HL6J+eXW/eFpFik7bQQP3PYDYoKCBQb0WAPfmwhwMdOtqm0q0MQTNeXNg0yAbBa5lwnagoIvPhTW08jrF0EGJoudUgNkQHsvsB1ctMlhar9fx/vvvB2tPN9/ZDRf9A2CBTrPZRK/Xuyd6/YIPBoNghTlHpwA18g1goxdAtuW89fdtQkgrHtr0Ovpc+1qlUgmz2Sy8d7XstN4chCh8TkXoIfAzLJfLYZDS6USh8GqPgZubm9CYw6P12XDRPwB+cfll1eWjauE1ZcWGEcViMVEtRusJ3F+hBuy+I4ymCTcdl4WY8G20XAcJ7bNP62yDc7YngBY61Wq10EiUPQUBJNx7AOh2u6jX6/jkk0/CNMPLbXfHRZ8RDXZVKhXU6/UQvdbyXBtkGwwGGI/HmEwmYXtqBtE0ZUesFbaC3nUweGx0/TvRaUCxWAyxAno3sTScDRrqFlq666++LoOb8/kcp6enmE6n3jzzAbjoHwBd2UqlEiLInJ9qnlzTauwJNxqNMB6PMR6PQyScBT2MUH9f2FVMaV6GCj0tn84BQzv6amGRLcLh42nbcjnbcdE/AObqq9UqVqtV2GOOeexWq4V2ux16wrGSjr3gh8NhuOlWUNpFh0UvP1S2VdspWiykGQZmBjSouL+/HwZT3U/A2R0XfUa0Ko8dWyh+W0nHrazZJJM33fWFJbba3VU3gbQ753DerFkAXZqr90B2d1/FmlYvr/fatktTfTEx2tWBauXVvbeuPs/F7MDR0RE+/fRTHBwchLm/C393XPQZUdEzT2xXydndXzgI6Mo5XT3HhTW8caBg5ZveeA4W7NjBgYGtTX3i0yL2GmCzaTvrquv+edrWWyvwtKWY9grQkl+7BwCnRbawSFOC7XYb7733Hk5PT1GpVFzwGXHRPwANWlH0RC1szPpqKyy7A6yurNObLq3ljcczqq3bQ6v1t3XraavqVNxqvW3k3QbgKHiKXuv9VfR222pb1KMRfDt46PVomo/pURd9Ngpb3D+Pkmxhm/ucVnUX8wzsttB204dNrbXsllCxRhtpqLseEzmxRUDq1lvX3rr3dvBjYE6DeLo6T9OdukDHbuzhrv1Goh+Mi/4dsMndtp6CfSztftPxaa8VK+jZ9rN9TO+3PWfbwJMWO0j72cW+FRe94+SMqOi351Mcx/lR4YG8HwAPKUB5iOv72IUu9hrSsgbO28Xde8f58eLuveM4LnrHyR0uesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRkuesfJGS56x8kZLnrHyRl7W/5eeCtX4TjOW8MtvePkDBe94+QMF73j5AwXvePkDBe94+QMF73j5Iz/D+ocYHD1DtdQAAAAAElFTkSuQmCC\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 beta:  64\n",
      "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 beta:  128\n",
      "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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\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"
    }
   ],
   "source": [
    "algorithm = nlopt.LD_MMA\n",
    "n = Nx * Ny # number of parameters\n",
    "\n",
    "# Initial guess\n",
    "x = np.ones((n,)) * 0.5\n",
    "x[Si_mask.flatten()] = 1 # set the edges of waveguides to silicon\n",
    "x[SiO2_mask.flatten()] = 0 # set the other edges to SiO2\n",
    "\n",
    "# lower and upper bounds\n",
    "lb = np.zeros((Nx*Ny,))\n",
    "lb[Si_mask.flatten()] = 1\n",
    "ub = np.ones((Nx*Ny,))\n",
    "ub[SiO2_mask.flatten()] = 0\n",
    "\n",
    "cur_beta = 4\n",
    "beta_scale = 2\n",
    "num_betas = 6\n",
    "update_factor = 12\n",
    "for iters in range(num_betas):\n",
    "    print(\"current beta: \",cur_beta)\n",
    "    \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_xtol_rel(1e-4)\n",
    "    x[:] = solver.optimize(x)\n",
    "    cur_beta = cur_beta*beta_scale"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the optimizer quickly finds a topology that works well and slowly refines it as we continue to \"binarize\" the design."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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": [
    "plt.figure()\n",
    "plt.plot(10*np.log10(0.5*np.array(evaluation_history)),'o-')\n",
    "plt.grid(True)\n",
    "plt.xlabel('Iteration')\n",
    "plt.ylabel('Mean Splitting Ratio (dB)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can view the final spectral response to verify that the design performs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting forward run...\n"
     ]
    }
   ],
   "source": [
    "f0, dJ_du = opt([mapping(x,eta_i,cur_beta)],need_gradient = False)\n",
    "frequencies = opt.frequencies\n",
    "source_coef, top_coef, bottom_ceof = opt.get_objective_arguments()\n",
    "\n",
    "top_profile = np.abs(top_coef/source_coef) ** 2\n",
    "bottom_profile = np.abs(bottom_ceof/source_coef) ** 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Z/xK4xk29jkCQqn4JoKrZqnrUk7EaY4w5mXhy8HAReQ8YD0QCDwCDgW3ANaqaJiLPAwNUtXOJekOBW4E8oA3wFTBGVQtLlBsJjASIiYlJnDlzZqVjzc7OJiIiotL1ayN/a7O/tReszf6iKm3u379/uqomuVvnsTGpReQKIENV00UkGUBVVUSGAc+JSCjwBVDopnoQ0A84D9gBzAJuBl4vXkhVJwGTAJKSkjQ5ObnS8aakpFCV+rWRv7XZ39oL1mZ/4ak2eyxBAH2BISJyORAGNBCRqao6HNeHPyIyEGjnpu4uYIWq/uSUmwv0okSCMMYY4zkeuwahqmNVNU5V44FhwHxVHS4izQCcI4iHgFfdVE8FGolIU2d+ALDOU7EaY4wpzRfPQYwWkfXAKuBDVZ0PICJJIjIZwLnW8ADwtYisBgR4zQexGmOM3/LkKaYTVDUFSHGmRwOj3ZRJw3Vh+vj8l0AXb8RnjDGmNHuS2hhjjFuWIIwxxrhV7ikmEekNHL/rqDmQA6wBPgamquqvHo/QGGOMT5R5BCEin+K6JvA5cBmuBNEReBjXbasfiMgQbwRpjDHG+8o7gvijqu4vsSwbWOa8nhGRaI9FZowxxqfKPIJwkxwQkYtEZLCIBJdVxhhjTN1Q4YvUIvIMrqejuwIfeCwiY4wxNUKZp5ichPAvVT3kLGoFXOdMr/Z0YMYYY3yrvCOI94GZInKPiATiGp9hAbAIe6rZGGPqvPKuQXyvqpcBB3HdySSqmqyqvVT1ea9FaIwxxifKu801SEQG4RrJbSjQVUTmiUhXr0VnjDHGZ8q7zXUurtNJ9YAbVXWEiJwBPCoiqqq3eSVCY4wxPlFegmitqleISAiwGEBV9wC3ikiCV6IzxhjjM+UliEkissiZfrb4ClVd4bmQjDHG1ARlJghVfRF40YuxGGOMqUHKu0j9sIg0Lmf9AGfcaWOMMXVQeaeYVgMfiUgurr6XMnF10tcWSAC+Av7t8QiNMcb4RHmnmD7A1WNrW1xdbDQHDgNTgZGqmuOdEI0xxvjCKYccVdXNwGYvxGKMMaYGsRHljDHGuOXxBCEigSKyXEQ+cuYHiMgyEVkjIlNEpLwOAxuIyC4RecnTcRpjjDmZN44gRgHrAUQkAJgCDFPVTsB2YEQ5df8FLPR4hMYYY0o5ZYIQkTgRmSMimSKSISKzRSSuIht3yg0CJjuLooA8Vd3kzH8JXFNG3UQgBviiIvsyxhhTvURVyy8g8iUwHXjHWTQcV99Ml5xy4yLvAeOBSOABYDCwDbhGVdNE5HlggKp2LlEvAJjv7OtiIElV/+pm+yOBkQAxMTGJM2fOPFVIZcrOziYiIqLS9Wsjf2uzv7UXrM3+oipt7t+/f7qqJrlbd8q7mICmqvpmsfm3ROTeU1VyHqLLUNV0EUkGUFUVkWHAcyISiuvooNBN9buAT1R1l4iUuQ9VnQRMAkhKStLk5OQKNMe9lJQUqlK/NvK3Nvtbe8Ha7C881eaKJIgDIjIcmOHM3wAcqEC9vsAQEbkc1wN2DURkqqoOB/oBiMhAoJ2bur2BfiJyFxABhIhItqqOqcB+jTHGVIOKXKT+E66hRvcBe4HfA7ecqpKqjlXVOFWNB4YB81V1uIg0A3COIB4CXnVT90ZVbeXUfQB425KDMcZ4V0UelNsODKnGfY52Tj8FAK+o6nwAEUkC7lDVW6txX8aYapI6byItl02gmWaSIU3Z2W003Yfc7uuwjAeV9wzCg6r6lIi8CJS6kq2q91R0J6qaAqQ406OB0W7KpAGlkoOqvgW8VdF9GWOqX+q8iXRKf5hwyQOBWDJpmP4wqWBJog4r7whivfMzzRuBGGNqDi0qYt/OLezduJRjO1eQsGOKKzkUEy55nLNsHGkBQqO4DsSe2YmIBmV2AG1qofI66/vQmTyqqv8rvk5ErvVoVMYYryksKGDnllXs35zKDwXnsHh/GGfv+YBH9b80BwpVCCh9EgGASD1KUtpoSIMiFc4Pnk5cs8YMDkrlrJBfCGt+DlGtOhDbuj3BIaHebZipsorcxTQW+F8Flhljarjc/EI2/ZzF1h83EbvqZRr9uoGW+VuJl2PEA7MK7iIrZhD1213IkoDGNDwzkVYdkjj8dCKxZJba3s8STc51Mzm0cx1ZmTvpFdqCnzKzidrzGb34Hra4yuVrIGsC2/Jcq5c4s2l9erGa2EYRxLTpRFRsSyTAuoWricq7BvE74HKghYi8UGxVA6DA04EZY6rm8KED/LpjFYunf0vgz6uJztrItLx+TC74HU35hfmhn7Mz9GxWxVxJ4BldiTq7O/9ul1Dsm/5lJ7a1tttoGh6/BuHI0RB2Jj5I947doWN3AC44sfYTDu3fx76ta8navZ6CjM0cysln96Ecvtuyn6sCHqdjwHYAsjWcvUEt+KlhL9Z1GMWZTevTPuhnWrRqU+qUlV0o967yjiD24Lr+MARIL7Y8C7jPk0EZY35TkQ/F/Xt3sHv9Erb+cozPczqwcfcBPj16A1eK67vcfhqxO6wtXc5qz3+7dOPcMxpQv9ENdAwMrFAM3YfcTio4cewnQ6LZmVj+h3Oj6FgaRcdC94tOLPsdUFSk/LzzLFZtW0vO3g1wYAvhWVv59ddDvDB/M6qwLHQkEZJNJo3JCGlJdkQ8R4pC6PXLPOrZhXKvKe8axEpgpYhMV9V8L8ZkjHGUdffQeweOEKUHaZKxmBa5m4nmENHA0cKOrI38N53iovhBHuJwLvS9fBjRsa2IBrpWIZbuQ24H54M41nlVRkCA0Lx1O5q3PvkZ2S7AkPxCtu8/wvZV/2bjvo0E/fITkdnbaHdwAUFa4EoOxYRLHi2XTTgRl6leFbkGES8i44GOuJ6IBkBVz/RYVMYYwPWN3d3dQ722vswGWhEZdJCtDXuyJaYzkfGJnNuxJwsbRTklE0lJSSE6tpX3A6+ksOBAzmneAJqX7uS56B8N3daJ0UyKCosICLTrGNWtIgniTeAfwHNAf1xPUdtvwhgP27phOfGaCW66IztDDhD9942EhQThL9/UMqSp2wvlIrBxfG9yb3ifhLNa+CCyuqsiH/Thqvo1rp5ft6vqOFxdeBtjPCD1p0z+/FYqz779Xhk3l0KGRBMWUpHvd3XHzm6jydGQk5blaAiLGw9hbVErhr62gntmLOfX7CM+irDuqchf2DGn++3NIvJXYDeuDvSMMdWkqLCQlV/PIDz1ZRYc7cTysOu4uf9wlv7SmK5rn3Rz99DoSl8DqK3KulDea8jtHDlWwLZvfuSLhd/xeODfWbTvBrpc/w/qRzbyddi1WkUSxCigHnAPrhHeBlD+KHDGmAo6lnuUVZ+8RrM1kzivaBd7pBl9zuvC3UMGEB4SCHQgdV7kad09VJeVdaG8fmgQfxt4Dn/oGMyqKd3ou+sNMp+Zw9qufyNpyF0EVPBuLXOyinTWl+pMZuP04ioiteeqlzE1UFZuPjOW7qBVyiguK/qWHwPPJK370yQMHMEZwSefRqmuu4f8QfO4M9nY90E21C9APv8/eqx8mA1r3+HXYR/S8+wYX4dX65SbIESkN9ACWKiqGSLSBRiDazyHll6Iz5g6Zf++HWyeN4Fxe3qwMbcJN7a8nhad/kSnfkPtaeJq1L77xRR160/aJ5NJXbGSJyen8btOsfz9wmjiWrb2dXi1RnlPUk8ArgBWAA+JyOe4elsdj2uMCGNMBe3cvJK9n04g4cCn9KCQP8bE0GXIYLrE2TlyTwkIDCRp8O2ce2kheQt/Ytk3H9Bs83gWnXEDnYY9SmTDJr4OscYr7whiEHCequaKSGNgJ9BJVbd5JTJj6oAVO34h/91bSMxKoRlBrIgexBm/e5DhZ3fydWh+IzwkkFEXtyWjwzWsfHcpvfe+w4Hn5rG0070kDr2HwCD/uhvsdJT3zuSqai6Aqv4iIpstORhzalpUxPJFX/LU2gYs/ukgj4WFUxg3grMHP0CPWDsz6yvNWrSh2X3vsmnZNxR+OoYea/7Jig1zOHL9+/Rt29TX4dVI5SWIM0VkXrH5NsXnVbU6R5kzptbLzzvGys/epMmKV+hWtI3Q4Ak8POhihvZ4h4hQ+5ZaU7TrdiGa8D3pn73JR8u38+brS7mkfTSP9Iuk5VkdfR1ejVLeX+2VJeaf8WQgxtRWR49ksWreC7Te+CZJZLItoCWpCY/z2u9uIiQ07NQbMF4nAQEkXv5nzr2kkKbfb2X3/NeI2foai2OvpcP1j9GwiR1RQPmd9X3jzUCMqW0OZucyZdEO3v9hLR8XvciekDZk9PwXnftfR7zdd18rhAUHclfy2WS2/wvLZ+2mx75Z/PrCxyzpcDeJV99HUIlbjv2NHfcac5r2bN3Azo+fIjRzJc8f+yeXdGzJtsSv6HKuXXiurZrGtqLpqKlsWb2I3A8fouf6f/Pdk/MpuPYdks9p5uvwfMbjCUJEAnGNK7FbVa8QkQHA00AIrnEm/qyqBSXqJACv4BqcqBB4XFVneTpWY4orOQ7DT/HXEnJgIwmHFxCNsKLxpXx9bRJntbBH1+qKszv3Rs9NYdlX05m9bD9z3kzl0rYR/F/fSFq37+br8LzOG0cQo4D1QAOnT6cpwEWquklEHsXVbcfrJeocBW5S1c0icgaQLiKfq+ohL8RrjNtxGGK3/ZdcDSat+Q2cecUD9Ijzl35U/YsEBNBt4HDOHVBIxx+2k/f1eFrseI8lTa/inGH/dg2C5CdOmSBE5EMo1ankr7iOCiYevxW2jLpxuJ6neBy4H4gC8lR1k1PkS1zjW5+UIIqtR1X3iEgG0BSwBGG8wt04DAC/SgN63fFfH0RkvC00KJDbLjiTg+3HkfZuPt0z3+fIS5+xqO2dBNRrTOuV/6nzQ5+KalkdCjsFRJ7H9eE8w1l0PXAYV9JooKp/LKfue7ievI4EHgAGA9uAa1Q1zdn2AFXtXM42euA66jhXVYtKrBsJjASIiYlJnDlzZrltKU92djYREf7VSa2/tfl02nvhgisRN+MwFKmwsP/cao7Mc/ztdwyea3NWxlbO2PgGiYWrKNAAguS3j6OjGsIXze+gUfuLytmC51Slzf37909X1SR36ypyiqmPqnYvNv+hiKSqancRWVtWJRG5AshQ1XQRSQZQVRWRYcBzIhIKfIHrGkNZ22gOvAOMKJkcnO1NAiYBJCUlaXJycgWa415KSgpVqV8b+VubK9Le7MO/sP6NO90mB3CNw1Cb3jN/+x2DJ9ucjBaN4OCjrWkih09aU0/y6LVvBrF3/MsD+z01T7W5IgkiQkRaqeoOONGT6/FUVfoY/Dd9gSEicjmuoUobiMhUVR2Oq7M/RGQg0M5dZRFpAHwM/F1VF1eoNcZUwZot22k07VK6Fe1jWb2+dDiaauMwmJNIQACN9LDbUf6a6X7vB+RhFek+8m/AdyKyQERSgG+BB0SkPq5TP26p6lhVjVPVeGAYMF9Vh4tIMwDnCOIh4NWSdUUkBJgDvK2q751mm4w5LUVFyqvf/MjQN9aSEtCTjZfNoNtDn7Am8TH20ZQiFfbRlDWJj9XJ88zm9GSI+4foMiTK7fLarCLjQXwiIm2B9s6ijcUuTP+nEvsc7Zx+CgBeUdX5ACKSBNyhqrcC1wEXAFEicrNT72ZVXVGJ/RlTpozdW9n19kjeP3wNAzt1Z/BVk2lYLxiwcRiMezu7jabh8TvciskOiCTvWG6denq+ore5JgLxTvmuIoKqvl3RnahqCpDiTI8GRrspk4arO3FUdSowtaLbN6Yyln8xlfgfxtBe8/hHnz/Q54puSFkXH4xxuBv6dHvDJHr++infvXQLPe+dRnBg3RjboyK3ub4DnIVrXIjjF5QVqHCCMKYmyTmSxao3/krPA3PZEngWIde/Qd92Cb4Oy9Qi7o4uv585gUdXRnLOuyv5z/UJBAbU/i8bFTmCSAI66qnuhzWmFli/9zDfv/Uwtx6by+LYG+l2y7N16pSA8Z2+w0ZzdfMfeeLT9XQ78i0jbvlLrR8LuyIJYg2uBLnXw7EY4zFaVMSSLft4/avviQ77Hd0vuYxefS/3dVimjrnjwrNotn8JV6/+fyx5aSnd/zqlVieJiiSIaGCdiCwFjh1faONBmNriwM+72PXWLdx49Cd2nPkGjxFhHWcAABxESURBVF7Xi6iIUF+HZeqoq6/5A4sOptJ79xsseeVWetz1eq0db7wiCWKcp4MwxlNWpczmjJT7aa9H+CL6Jl66uV+t/Wc1tUevPz/Dokm59N43ncUTQ+l5+39r5d9dRW5ztXEhTK1z7Fguy9+4l14/z2BbQCuyrvkfkZlHa+U/qal9JCCAXiNfZvEr+XTfN5Mpcy5nxNWDa91dcmX+t4jId87PLBE5XOyVJVLiOXNjapAtGdlc/coSCvasYkn01cQ+sIg25/bwdVjGz0hAAD3vnMQrbV9jXGogz3+92dchnbbyRpQ73/kZ6b1wjKk8LSpi6ZwXGb0imqzgphy7bhbnd27p67CMH5OAAO76w+/ZNnsVa+bP5Ic9BfS56VFfh1Vhpzzedp6DOOUyY3zp1wM/s/yZIfRc/Qh/a/Qtn917ARdZcjA1QECA8OQ1Xbgteg19fnqexdPqUIIAzi0+IyJBuJ6sNqZGWPv9xxx7sRedsn9g8dn3Mvjel4lpYM82mJojMEBIvHsq6fUvoNfmZ1gy6wlfh1Qh5V2DGCsiWUCX4tcfgJ+BeV6L0Jgy5BcWMW/aS3T44kZyJYztV82j1/B/1ur7zk3dFRQcQud73mN5vd70XD+eJbOf83VIp1RmglDV8c71hwmq2sB5RapqlKqO8WKMxpSyfX82v391EQ+vbsrCpsOIun8RbRPO93VYxpQrJDSUjve8z8qw7qxdvpjZ6bt8HVK5KvIcRKnbP0Tka1X1zdBJxr+pkjrvFXTZO+ySvzP+DxeQ3OV6X0dlTIWFhtXjnHs/5Kl3VrDovZWEST6DurXxdVhulXeKKUxEooBoEWksIk2cVzzQwlsBGnPc4UMHSHvu93RfPpbIEOGjkV0Z1KW5r8My5rSFhYXz2ojuDGqRS9cPLmb552UOreNT5R1B3A7cC5wBLCu2/DDwkieDMqakDalf0eCTu0goymRR/B30+OPjBAZVtLd6Y2qeeiFBjL9pALteaMq5P9zHiqBQEi4a5uuwTlLecxDPA8+LyN2q+qIXYzJ+LnXeRKev/Ux+lqZ81uxWeuybDoHKlkHv0rvHJb4O0ZhqEdGgMWf89WO2v3QpHRf+hVWBwXRJvsbXYZ1Q3immAc7kbhG5uuTLS/EZP5M6byKd0h8mlkwCBJqTyfU/P8OSyEuIGLWY9pYcTB3ToFEUze78mJ1BrWi34HZWLfrC1yGdUN5zEBc6Pwe7eV3h4biMn2q5bEKpoRzrSR6XH/mABo3q3pi/xgA0jIqh8e0fMz+kP7d8coSlWw/6OiSg/FNM/3B+3uK9cIy/a6aZ4KY/s2a63/vBGONFTZqdQdI979Bw4mLuenMh71zdjA4JfXwaU5kJQkTuL6+iqj5b/eEYf3dYImhEdqnlGRJNrA/iMcabmkWGMf22Xqx88XpazF3KZt6lbUI/n8VT3immyFO8KkREAkVkuYh85MwPEJFlIrJGRKY4XXe4qzdCRDY7rxEV3Z+pvaZ/s4ogzadQTz6EyNEQdnYb7aOojPGu2IZhdL3paY5Qn6Zzh/Hj6sU+i6W8U0z/rKZ9jALWAw1EJACYAlykqptE5FFgBPB68Qoi0gT4B67xsBVIF5F5qvpLNcVkaphXv/mRJz7dyfqzX2Vwk920WvU8zXQ/GRLNzsTRrkHijfETsa3asvumDzn29iAaz76W7UFzad3B+13gVaQ31zNF5EMRyRSRDBH5QETOrMjGRSQOGARMdhZFAXmqusmZ/xJwd0/XpcCXqnrQSQpfApdVZJ+mdtGiIha9/gA5XzzO4K5n8MgtQ+lx9d3EjttCwD8PETtuiyUH45danNmBvOEfUEQAObP+zE8ZWV6PQVS1/AIii4GXgRnOomHA3ara85QbF3kPGI/rlNQDuO6A2gZco6ppIvI8MEBVO5eo9wAQpqqPOfP/D8hR1adLlBsJjASIiYlJnDlz5qlCKlN2djYRERGVrl8b+brNWlREftobDDz6Id+EJlPYcxQBHhzxzdft9QVrc+2XlbmdSavz2CUtGNszjGb1Sv+PVKXN/fv3T1fVJHfrKvIoaj1VLT7+w1QROeUJYRG5AshQ1XQRSQZQVRWRYcBzIhIKfAEUViAGt1R1EjAJICkpSZOTkyu7KVJSUqhK/drIl20uKiwk9ZVb6Xn0QxZHX0O/O1/zeC+s9jv2D3WxzWeff5gbJi3il2Xv0e+Po2je+pyT1nuqzRX5uvapiIwRkXgRaS0iDwKfHO+bqZx6fYEhIrINmAkMEJGpqrpIVfupag9gIbDJTd3dQPHRXuKcZaYOKCxSlr54Ez33v8+i5sPpeddk66LbmHJ0aN6AWcNackPBHIreGszPu3/yyn4rkiCuw9Uv0wIgBbgT12mmdCCtrEqqOlZV41Q13ik/X1WHi0gzAOcI4iHgVTfVPwcGOp0ENgYGOstMLZdfWMSomct5NyOORa1G0uu2FxEPnlYypq4455yO7L1iGg2LDpM3eRD79+3w+D5P+Z+pqm3KeVXoYnUJo0VkPbAK+FBV5wOISJKITHb2eRD4F5DqvB51lplaLDfnCBMmv8NHq/ZyzqUj6f2nCZYcjDkN5yQNYOflU4gqOkD2pMs5mOHZEyvlPSjXHdipqvuc+Ztw3XG0HRh3Oh/YqpqC6+gDVR0NlLqGoappwK3F5t8A3qjoPkzNlnMkiy0vDOH+3NW0vfRjrr3wLF+HZEyt1KHnpawpeJ3WX9zG3Ff/j4uLvucCzWRfSlN2dqveW8LL+/o2EcgDEJELgCeAt4FfcS4MG1MR2Yd/Yevzv6Nj7nJWdX2Ea/uf8gY4Y0w5OvUdzHdt7uGawk9o7nRsGUsmndIfJnXexGrbT3kJIrDYUcL1wCRVna2q/w84u9oiMHXarwcz2fPCQNodW8vyHhPocfU9vg7JmDrhvG1vUK9Ex5bhkkfLZROqbR/lJohi3WBcBMwvts5GajGndCD7GLNfe4z4/J9Y3fdFkgbd5uuQjKkzmmlmGcurr2PL8j7oZwDfiMh+IAf4FkBEzsZ1msmYMv18OJcbJy9hV9ZAugz+PUk9fdfhmDF1UYY0JZbSSaI6O7Ys8whCVR8H/ga8BZyvvz1yHQDcXU37N3XQ3u0b2fOfAQQc2s5bf+plycEYD9jZbTQ5GnLSsuru2LLcU0WqWqobwWL9KBlTyq4tawiaeiVncZQXrmxJ+zNtkB9jPKH7kNtJBWd4Xs90bGnXEky12b4+nXqzriGIQjKueo/2Xfv6OiRj6rTuQ26HIbef6GqjusdMsQRhqsXm1UuJnn0NhQRw+Pq5nO2DromNMdXLHmM1VbZsxy/cNHs3KwI6kjP8I5/0W2+MqX52BGGqZPXS+Yz86DD1IxvR9tY5xDWu5+uQjDHVxBKEqbRVKbNpu+AOHgm9iJ63v0VMgzBfh2SMqUZ2islUyvIvptJ+wUj2BMVx/m3PWHIwpg6yBGFOW9rHr9H5+7vZGnwW0X/5gibNWvg6JGOMB1iCMKdl9uKNtFz6GJtCz6XFPZ/TsElTX4dkjPEQSxCmwt5etI2/zd3C082fpc2oT4lo0NjXIRljPMguUpsKWfzOIxzd+BMXtx/FY8O7ERpkQ4QaU9dZgjDl0qIiFr/1EL13TCK4cX/+fGMCwZYcjPELliBMmbSoiCWT/krvfdNIbfQ7uv11KoFB9idjjL+w/3bjVlGRsviV2+mT+S5Loq+m+52TCQi0Iwdj/IklCHNC6ryJTs+Qmewlmg2FiUjL4fS67UUkwO5nMMbfePy/XkQCRWS5iHzkzF8kIstEZIWIfOcMQFSyTrCITBGR1SKyXkTGejpOf5c6byKd0h8m1hnftoXsZ1jgAoKad7bkYIyf8sZ//ihgfbH5V4AbVTUBmA487KbOtUCoqnYGEoHbRSTew3H6tZbLJhBeYnzbepJHy2VP+ygiY4yveTRBiEgcMAiYXGyxAg2c6YbAHjdVFajvjIkdDuQBhz0Yqt/zxvi2xpjaRX4bSdQDGxd5DxgPRAIPqOoVItIPmItrnOvDQC9VPVyiXjDwDnARUA+4T1Unudn+SGAkQExMTOLMmTMrHWt2djYRERGVrl8bZWdnU69+fY6ueJdBh6YjUrrMHqLZlPy694PzAH/9HVub676qtLl///7pqprkbp3HLlKLyBVAhqqmi0hysVX3AZer6hIRGQ08C9xaonoPoBA4A2gMfCsiX6nqT8ULOUljEkBSUpImJydTWcdHZPInH32xgLe31ee8A7lsCO1AfMGPJ51mytEQdic+WGfeF3/8HVub/YOn2uzJU0x9gSEisg2YCQwQkY+Brqq6xCkzC+jjpu4fgM9UNV9VM4DvAbcZzlTOhrSvmftDOj9sOUDUoEdo//cfWJP4GPtoSpEK+2jKmsTHqnV8W2NM7eKxIwhVHQuMBXCOIB4AhgL7RKSdqm4CLuHkC9jH7QAGAO+ISH2gF/AfT8XqT7SoiCUz/023jc8yStow6o6v6dyyEfDb+LYAsc7LGOO/vPochKoWiMhtwGwRKQJ+Af4EICJDgCRVfQR4GXhTRNYCArypqqu8GWtdlPXrQTa/NoJe2QtZXr8PGZ3v4lInORhjTEleSRCqmgKkONNzgDluyswD5jnT2bhudTXVZOOWH6k37Qq6FO1j8dmj6HnjOL5ZuNDXYRljajB7AsoPvJu6kyFvbWSpdGLT72bQ64+P2sNvxphTsq426rCcI1kse/1uXth7IUlndeDCYVOJjgj1dVjGmFrCEkQdtWPTCgpnjqB34XYe6diBi268mcAANw86GGNMGSxB1EHpn7xO+yX/R54Es6b/6wxMvsbXIRljaiFLEHXIsYJCPnznP/x++6NsCO5AoxFT6dKyVF+IxhhTIZYg6ohdB4/wl+nL2bQrnsZn3ckFI/5JcIhdbzDGVJ4liDpg5fxZFCx8jr06lueG9+GiTnZKyRhTdZYgarGC/DxS33yA3num8GPgmcz+Y0daxjf3dVjGmDrCEkQttX/vDn5+80Z6561iaZPBdLn1VcLq+VcPlsYYz7IEUQst+vEA+VNvJqloI6nnjafH0Lt8HZIxpg6yBFGLFBUW8tqCdTz59Q56Nrmdfw86i+4drZNbY4xnWIKoJQ7t38f21/9Im+xCBnV+mvHXdCEi1H59xhjPsU+YWmBj2nwafjSSDnqQ3E4P8sK1CdaXkjHG4yxB1GBaVMSSWU/QbcPTHAhowvYr59DzvAt9HZYxxk/Y19AaKis3nwenLuSsDa+yvl536v/1B9pacjDGeJEdQdQAqfMm0nLZBJppJhnSlC1tbuQfGRew7ZdjJFwwjRsu6UNAYKCvwzTG+Bm/TxDHP5wv0Ez2pTRlZ7fRXh2HOXXeRDqlP0y45IFALJnE/PQf/sYSom6dRs8zo7wWizHGFOfXCcLdh3PD9IdJhSolCS0qIj8/n2NFQl6hkpf9CwXZ+ynIy6HgWA4FeTkU5uWSEdWd9suecu2/GBFIZBMxlhyMMT7k1wmi5bIJpT6cwyWP9un/YNGelSyK/j2ZAdG0PJRGr4NzkaJ8AouOEViUR1BRHv+u9xA7NYrLcj/jT/kzCCGfYM0nlHxCRDk/92UyaMy9Qe9xb9D7pfbfKXcyq0L3u0bdLqGpHvRUs40xpkL8OkE000y3H84R5NB173u8tO9cNgefw0DZQ1TBjxRICPkSQmFAMMeCIolpEEZEvQY0yD2Ln7L7oYGhaGAoBIWhQSHc1aozAeENaXYkhLSjPQgIDiMgOIzAkDACQ8KZ1jyRn9+Mpjn7S8WQIdHEeuE9MMaYsng8QYhIIJAG7FbVK0TkImACrjuosoGbVXWLm3pdgIlAA6AI6K6qudUZW4Y0JZbMUst/lmhix/3ItBNLLgYeLlXuqRNT3YDbSq3vfWIqHrjEbQyp3R6k0fHTXI4cDWFn4mhLEMYYn/LGba6jgPXF5l8BblTVBGA6bj55RSQImArcoarnAslAfnUHtrPbaHI05KRlORrCzm4PVveuytR9yO2sSXyMfTSlSIV9NGVN4mNevVBujDHuePQIQkTigEHA48D9zmLFdVQA0BDY46bqQGCVqq4EUNUDnoiv+5DbSQXnFtP9ZEg0OxO9exfT8Thw9hnrvIwxxtdEVT23cZH3gPFAJPCAc4qpHzAXyAEOA71U9XCJevcCiUAzoCkwU1WfogQRGQmMBIiJiUmcOXNmpWPNzs4mIsK/usv2tzb7W3vB2uwvqtLm/v37p6uq+14/VdUjL+AK4L/OdDLwkTP9PtDTmR4NTHZT9wFgKxAN1AMWAReVt7/ExEStigULFlSpfm3kb232t/aqWpv9RVXaDKRpGZ+rnjzF1BcYIiKXA2FAAxH5GGivqkucMrOAz9zU3QUsVNX9ACLyCa4rwV97MF5jjDHFeOwitaqOVdU4VY0HhgHzgSuBhiLSzil2CSdfwD7uc6CziNRzLlhfCKzzVKzGGGNK8+pzEKpaICK3AbNFpAj4BfgTgIgMAZJU9RFV/UVEngVScV3U/kRVP/ZmrMYY4++8kiBUNQVIcabnAHPclJkHzCs2PxXXra7GGGN8wLr7NsYY45YlCGOMMW5ZgjDGGOOWJQhjjDFuWYIwxhjjliUIY4wxblmCMMYY45YlCGOMMW5ZgjDGGOOWR7v79iYRyQS2V2ET0eBm7M+6zd/a7G/tBWuzv6hKm1uralN3K+pMgqgqEUnTsvpEr6P8rc3+1l6wNvsLT7XZTjEZY4xxyxKEMcYYtyxB/GaSrwPwAX9rs7+1F6zN/sIjbbZrEMYYY9yyIwhjjDFuWYIwxhjjVp1PECLyhohkiMiaMtYni8ivIrLCeT1SbN1lIrJRRLaIyBjvRV15lW2viLQUkQUisk5E1orIKO9GXnlV+R076wNFZLmIfOSdiKuuin/XjUTkPRHZICLrRaS39yKvvCq2+T7n73qNiMwQkTDvRV55p2qzUybZae9aEfmm2PKqf36pap1+ARcA3YA1ZaxPBj5yszwQ+BE4EwgBVgIdfd0eD7a3OdDNmY4ENtWG9lalzcXW3w9ML69MTXtVpc3AFOBWZzoEaOTr9niyzUALYCsQ7sy/C9zs6/ZUU5sbAeuAVs58M+dntXx+1fkjCFVdCBysRNUewBZV/UlV84CZwJXVGpwHVLa9qrpXVZc501nAelz/WDVeFX7HiEgcMAiYXK1BeVhl2ywiDXF96LzubCdPVQ9Vc3geUZXfMxAEhItIEFAP2FNtgXlQBdr8B+B9Vd3hlM9wllfL51edTxAV1FtEVorIpyJyrrOsBbCzWJld1JIPzApw194TRCQeOA9Y4u3APKisNv8HeBAo8lFcnuSuzW2ATOBN57TaZBGp78MYq1upNqvqbuBpYAewF/hVVb/wZZDVqB3QWERSRCRdRG5yllfL55clCFiGqy+SrsCLwFwfx+Np5bZXRCKA2cC9qnrYB/F5gts2i8gVQIaqpvsyOA8p6/cchOuUxSuqeh5wBKgV19cqoKzfc2Nc357bAGcA9UVkuM+irF5BQCKuo+BLgf8nIu2qa+N+nyBU9bCqZjvTnwDBIhIN7AZaFisa5yyr1cppLyISjCs5TFPV930YZrUqp819gSEisg3XIfgAEZnqu0irTzlt3gXsUtXjR4fv4UoYtV45bb4Y2KqqmaqaD7wP9PFhqNVpF/C5qh5R1f3AQqAr1fT55fcJQkRiRUSc6R643pMDQCrQVkTaiEgIMAyY57tIq0dZ7XWWvQ6sV9VnfRljdSurzao6VlXjVDUe1+93vqrWiW+W5bR5H7BTRM5xil6E6yJnrVfO//IOoJeI1HPWX4TrGltd8AFwvogEiUg9oCeutlXL51dQtYZaA4nIDFx3N0SLyC7gH0AwgKq+CvweuFNECoAcYJi6bgMoEJG/Ap/juiPgDVVd64MmnJbKtldEzgf+CKwWkRXO5v7P+SZWo1Xhd1xrVbHNdwPTnA+On4BbvBx+pVShzUtE5D1cp6AKgOXUku44TtVmVV0vIp8Bq3BdR5usqmuculX+/LKuNowxxrjl96eYjDHGuGcJwhhjjFuWIIwxxrhlCcIYY4xbliCMMca4ZQnC1Bgi8pyI3Fts/nMRmVxs/hkRub+a95ldndtztpkgIpcXmx8nIg9UoJ6IyHwRaXAa+xpS6Z46q0BEOovIW97er/EuSxCmJvke5wlXEQkAooHi/Sb1AX7wQVynKwG4/JSlSrscWHk6XZyo6jxVfaIiZZ0EVC3/86q6GogTkVbVsT1TM1mCMDXJD8DxsQnOBdYAWSLSWERCgQ7AMhGJEJGvRWSZiKwWkSsBROQJEfnL8Y0V/+YuIqNFJFVEVonIP93t3F0ZEYkX15gJr4mrv/0vRCTcWdfdKbtCRCaIa6yBEOBR4Hpn+fXO5juKq0O1n0TknjLafyOuJ2OP73eDiLwlIptEZJqIXCwi34vIZudJYUTkZhF5yZmOEZE54uqsbqWI9HG2s1FE3nbez5YicoPzvq0RkSeLtT9bRB536i4WkRhn+bVO2ZUisrBYvB/iekLX1FWe7MvcXvY63ReufvtbAbcDdwD/wvXNui/wrVMmCGjgTEcDWwDB1QPtN8W2tQ5XfzQDcT05K7i+FH0EXOCUyXZ+ui0DxON6+jbBKfcuMNyZXgP0dqafwOmzH7gZeKlYHONwJb9QJ94DQLCbtm8HIp3p4/vt7MSTDrzhxHclMLfkvoBZuDpZBNfTsw2d7RQBvZzlZ+DqeqKp8z7OB4Y66xQY7Ew/BTzsTK8GWjjTjYrF2xf40Nd/M/by3MuOIExN8wOuU0l9gEXO6/j8904ZAf4tIquAr3B1YxyjqsuBZiJyhoh0BX5R1Z24PvwH4upiYRnQHmhbYr/lldmqqse7H0kH4kWkEa4P80XO8umnaNfHqnpMXR2qZQAxbso0UddYHMdtVdXVqloErAW+VlXF9YEd76b+AOAVAFUtVNVfneXbVXWxM90dSFFXx3UFwDRciRAgD1diPNFOZ/p74C0RuQ1X4jkuA1fCMXVUne+LydQ6x69DdMb1DX0n8DfgMPCmU+ZGXN+AE1U1X1y9sR4fQvJ/uPrkicX1jRpcCWW8qk4sZ79uy4hrbIxjxRYVAuGVaFfJbbj73ysQkQAnIZSsU1RsvqiM+mU5UsFy+U4COilGVb1DRHri6lI6XUQSVfUArvc85zTiMLWMHUGYmuYH4ArgoPMt+CCuYRV789sF6oa4xnHIF5H+QOti9WfhOi/+e1zJAlwdlv1JXGNdICItRKRZif1WpMwJ6hqFLcv54ISTz8Vn4Rq29XRtxDVEZGV9DdwJJ8bZbuimzFLgQhGJFpFA4AbgGzflThCRs1R1iao+gmuwoePdSLfDlcRNHWUJwtQ0q3Gdp19cYtmvzukZcJ0WSRKR1cBNwIbjBdXVY2UksFtV9zrLvsB1CmiRU+c9SnyAV6SMG38GXhNX77f1geOndBbguihd/CJ1RXyMq+fOyhoF9HfiTwc6lizgvCdjnBhXAumq+sEptjvh+EVtXEl6pbO8vxOzqaOsN1djKklEItQZoMZ5FqG5qo6qwvaaA2+r6iXVFaOnOHeVfQOc71zLMHWQXYMwpvIGichYXP9H23HdUVRpqrrXuZ22gdb84V5bAWMsOdRtdgRhjDHGLbsGYYwxxi1LEMYYY9yyBGGMMcYtSxDGGGPcsgRhjDHGrf8PRCZgoCIVEzEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(1/frequencies,top_profile*100,'-o' ,label = 'Top Arm')\n",
    "plt.plot(1/frequencies,bottom_profile*100,'--o',label = 'Bottom Arm')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.xlabel('Wavelength (microns)')\n",
    "plt.ylabel('Splitting Ratio (%)')\n",
    "plt.ylim(48.5,50)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And of course we'll visualize the final topology. We'll plot the minimum length scale as a circle in the upper corner."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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)])\n",
    "plt.figure()\n",
    "ax = plt.gca()\n",
    "opt.plot2D(False,ax=ax,plot_sources_flag=False,plot_monitors_flag=False,plot_boundaries_flag=False)\n",
    "circ = Circle((2,2),minimum_length/2)\n",
    "ax.add_patch(circ)\n",
    "ax.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}