{
 "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",
    "mp.quiet(quietval=True)"
   ]
  },
  {
   "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",
    "Si = 3.4777\n",
    "SiO2 = 1.4440\n",
    "\n",
    "frequencies = 1/np.linspace(1.5,1.6,10)"
   ]
  },
  {
   "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 = 1/1.55\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": [
    "design_region = mp.Volume(center=mp.Vector3(), size=mp.Vector3(design_region_width, design_region_height, 0))\n",
    "design_variables = mpa.BilinearInterpolationBasis(volume=design_region,\n",
    "                                                  resolution=design_region_resolution,\n",
    "                                                  symmetry=[mp.Y])\n",
    "Nx = design_variables.Nx\n",
    "Ny = design_variables.Ny"
   ]
  },
  {
   "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 material_scaling(x):\n",
    "    return (Si**2-SiO2**2)*x + SiO2**2\n",
    "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,symmetries=[mp.Y])\n",
    "    \n",
    "    # projection\n",
    "    projected_field = mpa.tanh_projection(filtered_field,beta,eta)\n",
    "    \n",
    "    # interpolate to actual materials\n",
    "    return material_scaling(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(0,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=mp.Medium(index=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=mp.Medium(index=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=mp.Medium(index=Si), size=mp.Vector3(Sx/2+1, waveguide_width, 0)), # bottom right waveguide\n",
    "    mp.Block(center=design_region.center, size=design_region.size, epsilon_func=design_variables.func()) # design region\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=mp.Medium(index=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_variables = [design_variables],\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",
    "opt.update_design([mapping(np.random.rand(Nx*Ny,),eta_i,128)])\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_deps, dg = 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.show()\n",
    "    \n",
    "    if gradient.size > 0:\n",
    "        dJ_drhobar = np.sum(design_variables.get_basis_vjp(dJ_deps,dg),axis=1)  \n",
    "        gradient[:] = tensor_jacobian_product(mapping,0)(v,eta_i,cur_beta,dJ_drhobar)\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",
      "[1. 1. 1. ... 0. 0. 0.]\n",
      "Current iteration: 1\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: 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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2DzUOfRqLVH1APhA9AIUB0TuIRbBT01hb/cxjrJS2mJ64QN/jhdJpqe1D6bhYebF9Y/UB+aBPn8ByOy1XVc80Y/XRtfBjY/djdfF8F2qALPTjr4nse+xDEXerLlaQziv0WPwkxBBdp1KA6ANIIcu0kBarDsTJudlCQtNlWKIP5em1lY+JPdUvDnGM4PU+1nfWe+g7a9nKCoTiJ+AmGJyj4AuW8711XXcvfWedvtlGR52tQJ8Uqtft1+s9Q2RzuxLa2ofy515C6ULrPfZdrKsgX6EJTMFNMDjHgC+kqjqcZZXH3HODwC+im3lyLsOaXIO390aqJbrRiG0/lPAtrBShPmaOpY81ALrh5Ek0pNit59MDG7j3ATabDVVV1U2/NJvNunHdluglPGCHCfV7JTkBuZzGoo/wrfpYlpvXy2PFxgOkAoPeVKS27qvVilarFS0WCxqPx7RarWDtKfyfQ/QB+M6t09PTg7u32rbtrL6OzPNFpofmMpagvGKM5bhT21uERByra0xEocBlaN+QFU9tX1VVNxyaBd80Dc3ncyKibh4Ea6Yj8Jqo6J8/f35X9bgXyAuraRp6/Pgxvffee/T06dNu9hw5t7oWvi5HLktX3+IY8efsI/F4ILc9d3zI0qestHTrF4sF7XY7Wi6XRET09OlTCD5CVPSff/75XdXj3rHf76mu687as1sfmi4r5s4OlU7qG43XdYrtc9susVfkqVQg0Zv7HKTgN5sNnZ2d0XvvvXdwx12Jrr6cMVgSFf2XX355K5W5r8ig1Gaz6e6l5z5ibn9ZW/+UJbsry3SsAGIBOiYUuQ+t8+biWcC8LOe53263dH19TVVV0Xq9vjExZqrBe2h89tln5vqo6L/44otbqcx9hi8qOQX2jz/+SPP5vLMq8jZbxuqn6/68zn3fFl5Rx/LsufvmNiS5+1vnlP+P3W538DyCFy9e0HfffdfFYEqdRSck+ipxMso7U//Pbrejly9f0nfffUd//vOf6dWrVwdpIZ5Qw0pVaaR7/7YeduFd50nT9dnXIvdc6FGPPMEJ/yf8+LHr62taLpddHKUk6y75+uuvzR+O6H2A0WhE4/GYHj16RGdnZ7Tf77uLSk6moZ/SkrrAQg+GzMETmNP92JhAU252bN+7asTYlWek4K+vr2k+n3dPJHrx4gW9fPmS5vP5wYMs8dz612BwjoG8wNq2pdPTU1qv10REB9NnhSZv1H15HYAiyrsAvcKSQveIOpU3tz57U2we+l5foRz91dUVXV5e0m+//Ua//vorXVxc9Cr/oQNLbyDz7fxE1MlkQuv1mpbL5Y1RcZ78td4uldeWdTnGO/A2An0HyVjLOfXqAwft5KPEF4sFzefzLvC6Wq16l//Qwdj7CHIYrvVwC6KbF37qnKVGrcW2H4KY4D1iz02zHVtHonBXhYXPnheLfbvddv8VnlF/E1j6CHxTjTXhokzBSRGnIuJ9otTHErPmHsHnBvCG7hZa5fM6jq1YTxSWqToiO40YundAbxNr0HU5oeW3Ub4FRJ+Ahe8dgOMR/m3hFV+sHm/TMnobPDkxqXzJJwpzF+CYIKVe581s5HpDt12+BqLvibY2Vi7YagC8/fj7TCo+kbrZyNoutD50/rTgJXDp40D0meiLjC+w3BtU5DbH3Jgi8YjRcg/lu9UPtiywlaGw6n3M/QGW+2phdbVAGIg+A+1WyQtNjgf3ErrX3jreMVjBw1gfMpQtiFnmIepaeuD4roDoexDrl+VcuNI7sESpt/OgLbcVJIoJXuIZS6AHJ8l6yON56m2tC+3b525D8BqI/ghCfcoU1u2r0urr73JJRYOtiG+qobDY7/cHd3KF6n6MKK19uQsig6veEZEAonej+9Y6oESU7+bKC1THBI4NRnnHABDZaSNvPCL22XOnXarOVkxD39Ks98Nw2zgQ/RGk8tkWqZF4fW9CidXLM2CIqP8IO086ydulsOrGHgWn5bRrzy8eU+EdLVkqEL0Tj6vrKSPmUudgPa6a65EzQ08odpBbn1D03JtfTg1M0edIDpiSj6rWk5eyJwa3/w0Q/QB4Bn2kglI5F2bqqTpW+aF1oTScB6vBiDUqVrYjVlfd3ZANmhwpyXMWtm3bDZeuqupgcA4s/hsg+kxiVtQ7okpbeYucPrlHQKHtcqPsGitrkfIevMexYg68L09XxvdFTCYT2m63tFwuqWma3r+nBCD6IwldWCmrrj+HAmmhIJUnah1Ka6UGwuSgLan+DXKOeqKb04N7sBpJ6dJPJpODQVI878Fms+km05DllA5EPxCevqvVpw/hGURjCT617HWrrfWaWJrPWrYagRihGENVVZ3opeVn957o9VTYT58+PZj/PtfTeKhA9Bl4BpDEglWevLi2aFpMMqcfq1/IE8jpNgxNjqXVAUkZM5B3O7L427al7XZLp6endHZ2Rh9//HFXBiz8IRB9D2SKKOdhDX36tDFLH/ouJfhYeaGyvMeOfRdbHzuubADkoBxeNx6Pu+9GoxE9evSIHj9+TNPplJqmgYVXQPS3TMrVz7X6RG8ubk8X4BhiZXqyEfpzzPXXhLpFMqbBwTx+DkFVVXR6ekofffQRffzxx3R+ft49kESWWXr6DqLPJNYnzh3Q0sfttNz8UHcg1Yh46iiPaX0Xere2Df2ekKWPNSqcsmvbtnvGYNM0dHZ2Rh9++CE9f/6czs7OEr+wTCB6BzmWoa+ocgSZEn6oTkP2bWNi96YuY9um6snBvKZpuucOTqdTOj8/p9PTU6prXNohcGac5Lq6IaGF7rvPiezz9lVVmY+X1nWNfSe3Cf3mlDC9gk8dL7VON3Ls2rdtS9PptHvQaNu23fYlu/Kh3w7R94AFx68ci83BPy3+HLHoP1PfjCK3OSaIF9te75PrQeR4A/L37Xa7Lu0n+/Rt29JkMqHxeNw91UbXH33610D0A5FKt4UucuvRWDHLqgNgVkpPYl38sm45v0/XJfb5GFI3HekgnxyoIx9aaf1mANEPghUsI7IHrxBRMNVnCTbk8upjhd4fwnxxluXf7/cHDR9bfT1rMbgJRJ9BKCceipJLLOETxUUZ8gI8ab3YskUf9z5UTug89UVbdrlO/m79AjYQ/RFIq5pKk2lSVl8T8wJi4vZe/F7Rp9x8z345gswJMELsPiD6gUgJPGad+zyJJba9Z5iuJaZQPMDaP0Wu6FOZAgm79nJ5yJjCQweiz8CTO7aCeJ5yc4b0ho7N5DYgofK32+2Nsr3oe/51rEOXmyPakNAhfh8QfU9CQtBBPE3M6nstfu6otz7lSbxdhljDo1OJfFxvgwK3fTgg+gxCQaJctzcmfDkXnC7fM3hnyHx5DrpO1liC1FTfqTEBqfOMhsEHRB9BClxHhjk9lHIprVFhOvKs+6hEh9F6Xhe6vzwknCEFnfNZYk3tlbO/FQvg9Jx8hcoGN4HoE+gcsHx0NQvaG3zyvEthW42BftfL1mfvdzmBvFRaLnc5VI6G/wf+D+REmKFBOeAQiD5BVVUHEzWMx2NarVadu7rZbFzlxMQasvgejyC2LBlqkE5sUk69LkfsnnXSy+JpsnjYbdM0N6bABjYQfQTpxsu7uVjwPFuLlS9mYkE3z3uOZ2CR8kJyMwPWZ4tQ45AzcMfaT4p+PB7TbDaj6XTaiR8j8tJA9BH0BcbPPq+qipqmoc1m06W1vKQsdO67Xr7rYbfWmACv1Q4R25//E3l33Ww2o8lkcjD9NQgD0Sdg1348HndptaZpaLVadY1ATgQ6ts7TCMSWQ8fwfOchtw/ep88e20YG8qT3NZlMaDKZUNu2B7PoQPw2EH0EaenZwvPFttlsDm6RPYaYcHMF3kfYoX36irPPNp5ttbXnmXP47jotemAD0QdgS8EiJ6Iucr/dbru+/BBpsZyc+1D5+dviWLF5c/E6oyKfdAMXPw5EH4EvKqLXbj5bdnlr55DkDkV9FxlKjDKSr18QfZwqcfG8m1fWgMjRcVro76rwHgp6QI4eQAXIPAkQfQ8g9vsFBB7EPDFw73uAiwy8y4QfwQoAeJBA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGFA9AAUBkQPQGHUie+rO6kFAODOgKUHoDAgegAKA6IHoDAgegAKA6IHoDAgegAK4/8AfSoikNubNsIAAAAASUVORK5CYII=\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 beta:  8\n",
      "[1. 1. 1. ... 0. 0. 0.]\n",
      "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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\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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vgVNWbO2RqouI2vrunKfni5bH+CyUksWG4HRZLr1hY2nJKHbV+c63LMRSuo6tPMci2NXPKuhKQTjdT4cLWT0BBzTbCm0wmxHDHhW+C3XqWPRHoHl6oHXyulIOLkYNzmUWW917vtU1R72RruJ9I/LFPthtV8Fmotcxd5u1Z8ueBSJV8KDJSmdCLYmXMxpcz5Cdx7SIvu8/VikdxO4+/maxZlF7FpaOz4GKHpae891q6bN6eh5HI3jG42oVMXdEOu7OBM/76GdN0XT+XXR+AtrNv73+tthOU6EcMI147yWZMrb0DWh0m0WgUXdsF/F40UEgPLZGZZq66hFx4KZDrNnYvMkqsludWW210NopsRdQ6vhYoIrWHOC74bcC3Alk34Pf6zp3gNtvchpF3/exEAJjvMy15pojHkWW3foJll3vVQ/LrZF7tfQcidcIPNA59updqNVWIWsqT38DrgOAcEejUS3wyOdloULY9/f31d8aSGz7H2jMQ++2k3Ve+D21rNnY0hfZ7/fVTK6rq6vaBJGbm5uD1JmO5zmgxks64e4319fXNautASsem2cWmrMC7O5GHN6CWq12CRUr2sGfc5YBf0fUrTYHMHFerCTE3hOWF8sCb9wW7kyzG3iop4V5EbjPHQdVTYvo//jHP36sdnwyQDxsoWHhM4uLfdgaRRy69rDueL65uakVvyhZtFtdVhZnVtmnYlcBQwy8JgAvIc2fY3+INRvLZwLm/SLiYD9sgzYBnaHIN77kyU3ImuB3GI/HcXZ2Fl988UWsVquYz+e19psW0f/hD3/4WO34ZOD69SzVxkLS/SLiwH3V21/BS+COQy/6zFLyeTjSzxN1WOwRj+PubPyPdurQgI8DuD0QLw8Jsoi5wp1YU0ekdRF6q2y+5RevSYAS6NVqFV9++WU8f/48zs/Pa5a+S/qvDzSK/ve///3HascnBcSC+6Avl8sYj8e18W0WNef9OW3Gq8Vg3jcufqYtio028V1seMyK7bmjyCL86sbDXc8Ca/r92HI3eRD8ffCdNJuRfT8eJpXu8wfBY31B3PVnsVjEkydP4vnz5/H8+fNYrVa1NQ8s+vcMmlyer7/+urf+0GAwqO6BvlqtYjabHRTh8AUeETULq8UunDJja8wWm1HRqpubLYWtrr3uq9N8cXz2YAC3S9vG+2kbNb6B35Kj/qXzqTuv43iIH/f5Oz09jbOzszg/P6+Ef3Z2Fk+fPo3PPvusVkvRU9IertHSf/PNN3+epvw/YTKZVItX8k0m0AFA+BF1C8ulqFr6igs9uxtN1oFE1KfRTiaTYpQ9Gw5kVpjPo0MCoBY32w/P2imxZWYPIqIeZGQrj9+BFyDhIB67/PgfQOQQPlYXns/ntbaZOo7eN3B7e1tF4HUNegSPEATT4hQeu6oQM4tWctPVeuI4fAykw7BfNoZn0ajFz1x6DprxGn86RMBrbAcviEuSs5hD1ka9pba2k7ebTqeVew9Lj5uFOGL/nlKHZ9G3ANFjjL7dbquLCiJQK5ZFzwELmHPdKo6I+nh8OBzWzotZfqgPwPaArRxbYnW9eT8+F0TLS4CpxVcLD08EnaKu+YdzleIALPSs9gD7oX18CzDcL0Bv82UOcXFOC+yu4zVm2GWVYXitwbSIR1GhAxmPx3F/fx/j8figWo2BJcUc/t1ud5DjbrJqHLEvLbGF7diFVs+G1wng4Qmi63yTjpLoua0aZGTRa+GNdqKw9tw2bp8p49r7jiDaPBwOK8uvFyees3E1W13kvu/u7mI8Hsfd3V3lNZQsPc7dtdAGcMYhC5Jl23HAkpcB03X92GthoWczDrPfSs+t20XUA388dZfPqecoZVXMe+zed0AFjXF0l+3xzMLlfWHx4a4DDqzBqursuGxcnLn1GlmH8Hk/dv8hJoyPeUUgdfNV9JlnoPEK/m1UqLodpz/hYXEpsMV+PBb9EUDwauUZFnpm7XEMHfdjfJ9ZQ4z7OUCo2ygsfLX2HBnXDoJTgmzxs1tj81g+2750px5ueyZYzYjgN8PqQ1zHnx3bNGPRd4TzzOoW8+ddxtjsMeBvdAql/TQAptvhWG0TZzJXOhtTZ0Uy+uDxvC7rrek+Hd7o75dZavZaEMDjqDwHFPnZNHNYdWE+CF94zThO9NNjS9+RkoXkzyMOrVPpWGr9Mtc2O3/JqrW5/OwpwNPI2sz19DpdVVNvWSAwy7FrQJLb2dW91weGSnwsdyjdsOiPQINiGXBfsyg8H0MFEvEYsNMKOU2PqVursKBY6CziwWBQW6GX3ebM3ed2cTs4uMZZBZynqZqPv0NpbK6BPO6AEOfomskw77HoO5CNhbM8PZ657h3vsRXjiTJI1WnKDiLk87KASrlv/VurAnV5LsDWMwtC7vf79OacWcoOGYksZVeqXdDfF9uwtYfwkbJT0Vv83XBxTgc02q3lpRHdi3NYMFyn3uY9aIlq14g1W3lOd/FqvnweXWGH8+PcWanwEfHXPH1WMMO/lQoevzeji2tGRNVJ8u2+VPy+fnNcnNOCXti4uCFaFX22Iiz/jprj1jvc4lh4ZkFkQipFxRm2+ryYRRY/QNswWWgymVTFQ6W8OM9515Qd3/iD28PCLA13OCPB++G3GAwGVXETt9HXbTN271sYDocH1Wm4uDnPza5zZi1L4+WmCTdAhcXPGkzj8/CxuKpNrWBmeVHqCzFpx8TnRPu4/l5v2a1tyc6pJcKlgOlwOIz5fF59j2xyULZv3yh9d4u+AZ5ai/XWUKHGd6aNOBx/6uqyurZdFijTMTZgz0DvosPDDg0AMvyZjtez/Uq59mw4o6LFGD+bbNPWEarwdTiBY2MFIm43z9FXT8w80ij6r7/++mO145NjMBjEZDKp5mxjFhfXe6vodRENuMh880ZOOzVZpKz4RivmtA6eswYaTOQ2slA0LYZ9NFORRdUz4XMnoWNz7RSVrCBIX6Pjnc/n1RJkWLD09PQ0ttttDAaDmM1mFnyBRtH/6le/+ljt+KTAhTwajWKxWMRisThYLkvz7Lwv57l5yWwsmcWpJ0bHsNwWnKPrclnZBa/RbY7oayCMz1nqONR7yCLxei4dZgCcQ70LHtZgWAXRY2rt27dva8tlYTYilstqinf8nNFOFzSK/je/+c2fpTGfKjo+R9AI76uVUnHoRY6lsrBs9mazqd3dRm87zbDbreIoWWKNWpeKV3QookLMUnb6u5TEW4Kj7107DC37ZdHzwpjz+byKt5yensbLly/jT3/6Uzx58qTXC2P+8pe/TN9vFP2vf/3rP0tjPmWQq4aVxgq2fMtnXu8O++j4nI+B4/Ca912WwM6EkqW68DdH6dUi6yMTb3aupv240zqms+DOhbfD94jI18zTiT38jA735OQkzs/P44svvqiGZZoV6Qsl0TcujBkR/fqViP3+/c0urq6uDm52wW46vAENeEVEFchjS883vMhuUQVUWFyRpgHBiNxLKZWwskvP58Br7TBKa9ZzR4Fzq5g5hpAdUzsKfBf+XtmsPs58cCe73+9jMpn4ZhcR8bvf/e74hTH7zHA4jOl0WrmE4/G4Wr8eFx4vrMFuKLvXu92ucj05EDidTg/uZRdRFy+EnnkYGt1nNIPAAuuSz1eLXOo81FVngZc8BB6ydBkaZDn8rDAKbeGIfhZbMC7OaeTh4X2553Q6rd5j0UGwnCPWIhvcEYbdf1gpDuplVWsQ/IfcwLIU0EM78B2xX7ZtNlTIFgJVoes+pe0yN1+/m475S6lSZEpKsRJjS98IB5SypaI4R87uPVal0aAaW0IUlXCajC9mjglwzhttUO+AxQ2Ll9Xo8z7cFrQ3ImprAmoHAVC1l6FCZuuunQJvm2UtuH3oTLNsQuZtmBzX3reQ5arZamEbXKR6YbJLyjXqsLBIr/F5Ih6HBlznz8fKcurcNl5IE+3hjgDiwDClrZ6f4xSaJuTP8J0164DvpJ2BRvGVNk+Aj8uxAlPGlv4IOLiGlBtQq8ri5Q5Ba+4RCGSvAfthkosKTG+eqVkDWHoeanBNvY7XMcTQajieaIPA4cnJSW1Igk4D7cdn7Lnw5B4WMXeWKujs/VKnEBGN8QH1ZPjv0md8fLSz1CHqcT6l42dY9C2oBcWYEePriMOxMISMz9TthHhg5TVAhf0yoQyHw1qaT/P1EPV4PI7b29tKyIgFaAQd3wtBQtTaI53IkX0N7HFmQdN+HPuA8COiOja8AbRdvYDsOYPd+9K2pQ6l7TN9r60dn+rxFYu+BQ1Cobhms9lUF7IGtThvDHFld6jVGnMVvQarIh7H0uza48Hnw/LaeGSRf7QHWQJkE/iuuqWptvy9eJ6BPrPXgU4Evxn/xtweHbOXMg4/5II3Fn0n1K3nfD2sGFs3zh+rC82i40h+SfQa4eYgnhawoK0Q3O3tbUwmk0rMLF7+XtieU4PILHBnpR4CC5w9BRyLOx+0h8XPdQds8TPxo73mw7HoO6CuPQptttttRER1UePzbAZeFr3nfLOKF/vynWwQ8WeRZBN/IMbpdFrL72u0POIxdqD1AGrpdR/dj2/LzV4DD4U49Qg3XztDxDm0o+EOEN9TPYCmGgTziEXfgrr3XEt/fX1dReEhFJ76CkGrtWbB4+LNctARh4FAtvI6OQXtZXe7JFw+PnsxJSuv48gmD4GfMQWWvSM82CPgmIDGD7jT1PEvOoosW2ByLPoO4KLXstrr6+sq7cXutKbZAFt03Dud02/YBs/oHPA3VoVRK68dTDacYG+Bz8MiU9dcK/+YLqKHV4SyZXhH19fXtYlHfD4OCvItv7l2gIcZPNxpSv2ZRyz6jrDw4b7e3NxUqSu49dntnDi6jkkjuDCRAoOg1fJzp4EOgIuAOBjI7eThhLrAWXFL5h2ohVcPBB5Cm/C5k+QHOgMWPp+f4wIICPL/gDsr4Dx9Oxb9EWQBPUSjdSkrHqNrZd90Oj0IxmlOnS0yi1onnqjo0U59qAehmQG2qm3egf4WLFaOB6jFh/D5GZ+rhwHPiZ9xXLyH449Goyq+YmvfjkV/JCwSuPrsciPYptYdQp1MJjVLqiLUlF9E1ASv88uzpazQTjxngs/iBjym1hgEP+O4mptnK815fg7gQfzs9mvQkK28DgPwN9Kmm80m1ut1DAaDuL29rb6PLX4Zi/4INDDH1km3wWutwhuPxzGfzw/m0WMfjPXZS9AxfDbBp1Rjz23KBB9xWB/fNiTQfTSGoB0BZwZ0JSHuKLJOBPtB+FwncXV1FW/evInLy8t4+/ZtXF1dxWazqdYqMDkWfQdKouFCmGz8jH05eAdLrwtmsuXkG0VwOo6DeyVLz+IsWXj9DnjOIvV6HJDFDrJH5glkAUN0nHpM3R7iX6/XsV6v482bN3FxcRHfffddXFxcxOvXr2O/31dW3xxi0XcEF7xaVQ5m8QUeUa+HRgAP68hzeSuOw+NZpP44XYdnzeurV8DtbRI8YOEfK3pNp+nwIOsE1CPQzoaPjW142ABrv16v4/LyMi4uLuLzzz+Ply9fxnK5rFKm6/XaFj/Bom+BhcKuNETGotd6dRYPxvSoiUdwKntMp9NKFJPJpNpfp9Rq+0riLnUITJaL521L7v3Dw0MtT64eQ9Y5aAfB59Pza85ehX91dRVPnz6NX/ziF/Hll1/Gs2fP4ttvv40XL17Eu3fv0nRo34N8Fn1HNAKvK41qVFndfbb2HLjiABbGrIvF4iB1hvPzHPyIw3nnXR7YFuD4GvzLhgq8j2YHtHy2ZL21UyiR7aNu/9nZWXz++edVQO+rr76K58+fx3fffRfr9doBvQSLvgMakNNgGsgmn7BlHg6HtZRWNl7lgNV8Pj+opMMYn72OLDXHbW8SPP5m4ZfEzmLOvAU+vnYk2O/h4aFWk9BEU4fBwwXucJ89exZfffVVbUKUqWPRd4Aj6HDR9TZKIItc88WtNecc3eZFN7kDwHAh4tFV13XiGK7fV9c2I/MajqW0b9bBHHMu9Si0CImHAexpZNOVu/wWfcCi74hGzfUmjRxF1xw2u+PZRBW19MhnLxaLarjABTM8DuYHW1AWPs9dbwriZai7zu9nY/amY+nv2UbJo+D98f3wejQaVWvjY9kyU8e/SgvqHqvoESnWFBsLhSP6LEJYcJBF3nAAAAekSURBVK5e48ITvmWTFrEgso0H3+ZK8/ds/dAGRsfe/N35N+DtI+rLVJXG6Vk2QX/fjMy152Oz98XftxRzMY9Y9B3hCwypt+l0Wj0wpoTl3+12B9H2UppLi1e2221Mp9OqZp2r17j8dLvdVuu7Z56Hir9UuXes6Hk/jcirMHn/UmyhLYWYHbtU5szeVt8pdagWfUeaRD+bzQ7yzmyNeUosjzv5ooYF3263MZlMKgvPE1T4Djmbzaa6f9tsNovZbFbl9jnukIkf3yezom3ZgIg8j16a3KPLeWkhUZOl1wpBHbPzOoN6vqb0ZN+x6DuQufcQPUpqM4sXUXedd7tdKjaeIjocDmt56PF4XIkcosddd5bLZSyXy5jP5zGbzWo31dAOQJfv5rbp3HXAAtIFOrOqO01RcpZBnzOBgsyL0EAd/gc4h/6v8NocYtEfAc9ww11qZrPZwX3SIw4vPswCQ819Foy7v3+/iuxut6vOBauPmWkQ++XlZSyXy5jNZpW1h+eBQBZ3AHD7VfRcJcexB84SaH0/i5KzEHhfO8hsvkDTnIFM8Jz+HAwGVTkzOgDMWeDf3+RY9B3RwBFbelhoHV/yPjgGLHnEYZAK22BIEBFVbGA0GsX19XVMJpNYr9dVh6Nin06nldA5iq2Le0QcLnvFGQJ2oXWxDrRdy2q544PI+RbTGndQy8+/Sal+H8eeTqdxenpaHTub/29yLPojYEHjwsPCDjqbTot4IKDb29ua+LNAFefkYf2Hw2Fst9s4OTmJzWZzcOdWduX1Ndz78Xh8MG9AF8/Q8bFO7uHsA4tTZxpyG7gD4rZmGY8urj1mKkY8dgCz2ezA2zI5Fv2RsAWEix8RNcHjoem86+vryrLd3t7WrL4Gq1j8fG52i7k+QNNWKlZe2AOwpVcXOiIOjpMVu2gcgPfj+8lD7PBI8FlTrEHrEnDs8Xgcq9UqRqNRNbyype+ORX8k7LLjwo14nFCTiV4j6RAPW/27u7vqoofV1KBgxGMwUGMGbC01iKYz8/TYmnEAmu7jxUEYjdhzZ8FBRR1u8D36cOym42I73E14Op3Gcrms3TbctGPR/wDUzY94XC6L02V4ztxvWH0WP98xh6P/x1zQEA7HEdrSbmpZ+Vjs0nNnwufi7XkbFj4/Mi9IMwT8jHOj45jP53FyclITfNdJPMai/0HggsRFiwiyjqM1fdZUxQd3HzECjK9ZWE2FNKXxLFtlPRb2y46H7dty61knw96FRu+zKH4WyWcPg72o2WwWERHz+TwtUebv5wh+jkV/JLjoUXUHAUfUF4vkaj19oJAGi0PyA4Lg+fYRUYv487lKggVNwS3dtyR6BBP5PU21aYcAISOzgWChipzTiOxVaKeBYVRpvQILvDsWfQf4Qucg3n6/P6jxZuHvdruYz+exWCzi5uYmlstlVWSzWq2qYhs8IxePvDyvIzcajWrTdSEmXogC5+fnJrJt2UJyzh2/A3sbbJV5W4icfz+d145z8t118R7u4oPfVq09pycRI+BOKCv4MY9Y9C3o2BLuOouOt4vI7wDD679D3Cx67QDwzBNuMH7lRTq0mk4Lf5RSZ5C9X7LuJTdfA4Za3MMZBLXw7MprLIBrIhaLRZyfn8eTJ0/i7OwslstlTKfTA+GbMhZ9A7BsmqabzWa1PDu2zYTPVp9XdsWDO4FM9DwE4Ak3ujQXzhNxGJnnNrW91u/PgTmO3GfZAg3isXuuhT6c/mPRlyL/qDxcLBaxWq3is88+i6dPn8bZ2Vk14UhLhU2ORd8CX8js1uqyVZlLmVWW6ZLQeicYTLLBs64Tr7PteFktnfSTzb/ntrF7r+PjUuqvVDvPnYLW2aMoSOsKNFiXiV4nN8Han56exmq1itVqVYm+VNZr6lj0HWDrhr8xpgeaaorIg27aCXBFXLbUM3cG/F7p7rLZHWqydFxTJqBkuTORaryjJOBM7DoU0Gg9ov6aEeGAKF5ribEpY9F3QK3ZaDQ6EFHbxaYCy4pjtCPQO8XoQyfKZOP7krjbgngs+kygEfVZeE3bc6dZ2ifbP6swzNJ/PJ53EK+dQUuU11UOUV4XPktxNe1fOp4eWz0D7hiyz7oKvKktShYJ19ddn7vsV9qnS4fC7zf9H3pI+kPY0ncguzB/jKqvJgE2CfbHEHWpLSXB6PtNwso+63rc0mdtnUrbscwjtvSfAG3CbPr8Qzqftn0/VEQ/lgiP7WBMRfrjWPTG/HxJRT/M3jTG/Hyx6I3pGRa9MT3DojemZ1j0xvQMi96YnmHRG9MzLHpjeoZFb0zPsOiN6RkWvTE9w6I3pmdY9Mb0DIvemJ5h0RvTMyx6Y3qGRW9Mz7DojekZFr0xPcOiN6ZnWPTG9AyL3pieYdEb0zMsemN6hkVvTM+w6I3pGRa9MT3DojemZ1j0xvQMi96YnmHRG9MzLHpjeoZFb0zPsOiN6RkWvTE9w6I3pmdY9Mb0DIvemJ5h0RvTMyx6Y3qGRW9Mz7DojekZFr0xPcOiN6ZnWPTG9AyL3pieYdEb0zMsemN6hkVvTM+w6I3pGRa9MT3DojemZ5y0fD74KK0wxnw0bOmN6RkWvTE9w6I3pmdY9Mb0DIvemJ5h0RvTM/4PZtAkeOWpFpIAAAAASUVORK5CYII=\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 beta:  16\n",
      "[1. 1. 1. ... 0. 0. 0.]\n",
      "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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jpBMuSYVGBgEujnKzgNlq49q8vz8GhTzZKrOl93X/4R2kBd/8eST250eizwBEf3JyEobpzCxE8n0xC7NkII5d+Fitex5396vl8Fp3EBZ3E1j0bLURTENj4ct2QfS8ki7KdLMb7msEoBHjyL0XN2cnerHj+uL5kegPBNYeY+6bzSZYekTk/YQYs2SgDMNrEA9Xj+UoPNfh4wU0UGxzPp+HY1n0ZslyXl70saWzIFIWORoANDw+fTaWneiH7/i7S+wvC4k+AxB9qVQKAjZ7nEwTqxqL43wfnheqxD5mFuIEXFcfK+agLNd8Pg8uPlesZfeeLT33s1mou1JjefELdulZuNwAsNB9Ou7XFrySdZJI9Blga8+LRqSVdubjzJIReU475eCemQUXnJe4RjILVrjlLDSOIbC7zhlsPA4Ot9sP7eFeuOQXu/Rp6baxjD6zx6Df17bw8iyS7BS9fqxHfNAJFtlsu3oMW/lY1hqnlnIRTd6f6/Bx8U2upQ98DIHz3OGq81JaLHqfBBOrgZ8mdv5dvLC94MXLQZb+QHY9+AjSpY21c5QbfW1elx6C9Psj2YXz1NFQcKKOL83l3XVE19ldZwsey4DzfXf+rocK/kvyJcp05YWdoldf6Cf4YfbTP81+svocgfcCZAGPRqOwgu1wOLTpdJoYTvOiR1ILD6PxElKxmXgQN0fUY2mtaQ0Ai+gQQcGzwSsvfbVvVt+hxLpL8LY4v8HsMbAaWxhTyNLvJBbo4r44i95nx0FEcLNR5QW55/1+P0Tj4X774S9OsMG1fTouW3m+5zQLntY/Txsz5/wBCJrzDGL74zwYUeDz+i7RrmsCfD+euozYCj5DI1cqlazdboflvk5OThKNsNgj+u++++657uPFgYcTDxm76Jzain04rRaiR8AOk06wsCVWxOFxd86vZ/H7BSI52s8VdgF3EfA9fPYb8KMKLCDeB+fFxklFfj/s6/GjFL4h4O/g78fMEo1qqVQKcxd8/f+Tk5OwOMjp6anVarVQq1Ci/4mdov/rX//6XPfxYuAH+vj4ODxUZpYQHz/wbOk5io4+PMbZsbAl3HqOqvshNG+p/T3yaAHft9n2+Dg+4+P51cxCsg+E5kWyry8fOz+TNoTnv5cvFe5rEmCGY6PRsFarFYqRdDqd8Fm327Vut2vNZjOsaivBP7JT9H/5y1+e6z5eFHgoy+Wy1et1azQaCWvhraNfN87MgnuOYTcIH33zu7u7RCTdB838uDeuhZl+sI4cuef9vbC4H8zfkwXmG4oYacLn63jh4vPYkB67617k8J4w9RhTkmu12tbqP7yYJwqT+DkQ4icKu1rAt2/f5rZ5fHh4SDxo7F7yQ2m2LSiuHuMnvnAUPc2a+mg4XwPX9jX0OHgWs7zsHcSm1saCeD5mwN4EX4fPz+vyxUp2x+6Naw3EKhBhg0vfbDbDWgEXFxd2dnZmp6eniUlPPKU5x0Rbu52iLxQKuRU9w3Xu2PKkVbnhyDiPiadZRrzuGvriQhx+zXcWcuwaPmvPR7T53gH25e/ohQTB86o92CqVSmLZ7FgJML43iBzH8+/NHgDmOTSbzSB2tuy7pivnkOgPoOj9AWw2m2CpzWxL8GbpdeZirjI/lGkPpxduLHDG/e80WJQcbIwJ35831rj4e8d+XAoMq/HEluDyQ298X966xzIc0UBg7b9Wq5VY+Ufj94+kNXoS/RPg4JrvI4OYi25mYSSAuwQ+sLYryIV+cKxPzd6CP44tJYTD94594Qn4vjSE60uA4ZwQPGIgvAwXzuMbOG6M/JCnbyDYg+KSZd6TkHXfj5JzDiBmdWMueJZzwTXmxmOfZUK/GzP1MMvPLH24jZfaYveZvRWI31tdxDO45h+L30fUIfp6vZ4oKBLrhnCjx1vM++GRDXw/Xm8gresg4ij3/isSS1pJA41CzJrj7174PhoOq5y2VBbHLjhSzsL3sQ0v+mq1GqoCxwTvRc/dBP93HzTk9GD+Xru6SWIbufdfGRZyWn8UHoH/O0fOYzECDsCxlWcLzMLh9fZQ4BMiZleaI+w4H/bxnsEuwfM9+vf+e6JbA2vvGwoJ/nAk+hfALgvOf8f7fZl1AO56LGCGBoD70V7EKOkNMbPoIXyO1GMf7OeH69JEH3sf+/67GjhxOBL9N8S+7lZMACwOHzDjvjleWfjcOPhuAYveR919MC7Wl4/d865RDAn+85FtMTSRa55jyqz48sjSf0Pss2x+mBBdBmy+SIavZYehLz+u71N9fSSdhwVjkXiuNxCLXRxisX3+A39PkQ2J/gUQc33TJrDsCnb5YyFK5OrzFGGIkcfd8Tdf7BKfe/ce7j9mHfrCG1xL8NBAXux34AxHDuTtioOIdCT6r8whfV0z2xqL5ofeW7+0acEc2IPgOdCHYTC/aEXakB0n5iDghyG+rEN2sb7/viE7n6SkPv5hKDnnQL6ERWER+Oy4XfvG/l94SIvFUigU7P7+Pljy5XIZBMQz0LxLj+Sc2WyWEDyn1LK158QcRP298GNR/NhUWt4nZunNbGtUQsI/HCXnPAG2TMyhabj8GksfTUvDRQQeDzoTm9TDfXu49LD8aAhi3oPPhWcLz5F5TvjhNFwW/q7cex8/8Km4Xvhc679cLodzoIsiDkPu/RPw489m29l1n3vCjXeBY8fGGgvcAyw+rs/5/59zwg3G9zmTLy33PpY/wI2LT7HF/vAs4Ob7giLiJ9K8Hon+ADg9NTYeDdgicbScy1Xts/xpef2xiHrMZU6bnQcLjwkrscUpYtfz7re/DovfZ/zBvfe1A/1v69N6feyAvRtMrW21WqEqMH5fn4svVz/OTtG/ffv2ue7jRYEHEzXX0oposCDMkqW2YkU07u7utopo8PX2FdHwCTb8cOMeYuWx2DX2wsP9ctFMf81YN8bfI7vo7CHAwqM74hu02HFoKDhVmL2JRqNhp6enYfEPVM1pNBohliCrn85O0f/+979/rvt4UUAI5XLZGo2GNRqNhIXbF4iC6LlcFurWY7EKLmXNYudGw0emcV1v/fgB54bHW1VfGcd3Q/aVy/KNhR858I2E7wLxcbu8CnbveTYfvId6vW6dTicUwLy4uLBer2edTidRLgsVdPI6tJdWPWin6P/4xz9+kZt5qXgX+/j4OFgOM0us+sploNlascVl0fPSVCiMiZVqYP15XNx3D/x9+n4sP9icy+8tP7v1uE9v6b2YsR+ff1+izK5cgp9bGBPC//HHH+2HH36wV69ehcKYqKjT7Xat0WhYpVKJdivywO9+97vo5ztF/4c//OGL3My3gC+SARHzijEcTeYNgsPKsyiBfXt7a/1+325uboJrOp1OEyW1/fLPfo13tqq+e2GWXEbLD3XFRMuC9/vusuxp3gT2TfssFtfwv7X3pPxvjL7/x48fwwgBugSVSsV6vV4ogV2tVq1YLCZiG3khTfQ7a+SZWf6aR4KtLS8ThcUnIBa2Rmx9YbV59VksdnFzc7Nl8dnqIh6ArgCvJrtvsQsW867FLvzn+yx+TOwxSx8LJvL9pf0NxBKT8DnHMXyNwvv7eysWi9Zut+3s7MxarVaif5830f/5z39WjbysxPqX2HatcMPdhPV6nSgSyUUnms1mWNaK+/fIoMOKs6iR71efxbV99J4bKn4tFArh/Ph++5J+vPBjHgPe8yv29eeKvY9dk+Ec/7T75Gvd3d3ZYDBIzCUQjyg5JwMQt3drOUGEHzJ4AbGx5mKxaNVq1Waz2Va+O0QPwWMBy+l0mlgRh2MKXvTsmWAfrGlvllzcAv+G9fQr6ex7DmKjEP5v/v1T8DGLtPPie4s4svQH4hNi2ELGgk98nNlPiyqyC43ParVaYqlqM0ssYDmZTKxeryfy3w9dqhrDhUdHR7ZcLkNSzv39fWi8IHb8Df/me+Icd0719cJDA4F9viQySE9HufcZ4N8j1q/lfSCAWCQaowEIPMWG1tbrtd3d3SXKOyNjDW4+4ISUzWYTLN1sNksUsoRHwSMF3PdfrVZ2fHwcvANeLJM3PzLA3xe/B4Sf1+Gyl4wsfQbw0HNkHZ/71FTe30fcIWAzCznk7DUgAIiFGSFqRK5ns1kQLscTWPRoMGazWfAOfCAQr/guaCzg4q9WqzAt10944YAezgWB+64BewZfowGIZRHi32l/A3zfaUbQn+clnT+GRJ8B7m8joGb2GBXmH9yP+XsxQMjeG/CRaA4MFgqFRJfAzBIZgrgeFs6czWY2m80SIwSr1Woreo+RAgQP0S3Ad00bzoOXgGm6afv4LsFzC3/XaMKuv/nPDg0+vrTzeyT6A2GLBlFhxRu46A8PD+HhZ2vP4uBItJ8eyqLnIUD8RyK/HcN7OAdceLPHfALkByD4B9Hz8JzZY/wA3sHd3V0IFmJjISMe4Svw+DwDPxwY6xLI7f86SPQZYNcZw2ibzcaq1Wp4yP16at6i+tVxfDafDw6yUI6OjqxSqYT+PA8l+j49hvuwYVjQxyI4l2A2m20dwyMLPukH3QJ4CZy4hK6ETyzyjY6E//xI9AfAriqG0sbjsY1GIzOzIKjlcpnoh0PAvk+Mvrh37b0rz9c2e5wABCvPM9R89B5W2uf5+74fu/cQO3IHfBISD8lxwJAnFOF6eI9/828Ewcvqfx0k+gyw6Eejkd3e3tr9/b1Vq1VbLBaJwhE+JddbbLjlZukptUgfxT6lUimRWONn3JklrTdn8UGosUaFk4FYqJwP4ING3FhwtwCNBroV0+nUJpNJiC/wfAPvQeDcQA3Bl0GiPxB+0GHpB4NBqCE3n88Ti0NwNlgsMadcLgfhshUFvC/+jUYgNsnHDyf6NFxuPHwGn28k4K7z/AI+luMU2P/u7i54ChA7JxaNRqOwoUHghsU3AF96nD/PSPQZgOuMXPrhcGiz2cyKxaJNp9PEWm6+eAREi3XiqtWqmSUnkrBF5b493Hc0ADzu7xsW3KcfUgM+7ZYDlD4oF2ss+Brcr2c3Hx4DxD8ej8Msw36/b4PBwIbDoY1Go2D90Xjw3AMfDBSfB4k+AxAHgmSwYmZmk8kkUQWWA3o8NRS15Dh3noXrx1m5z+//nXYcB+q84P2rH1KMudtpOe8+Su/H+zmYCOEPBgPr9/vW7/dtNBrZeDwOVp8tPxrXtKAgulryCLIj0WcEwkDgazwe23q9DsNmfmHImOCbzWY0d95H7sEhgo8lfXjSxOsbibTuRuy3iDUWfmYi3P/ZbBYKisDl90OKCB5yrIC7DcvlMsQO8MrZiWn3Kh6R6DPADxPG6zFhxufks2uPDDxUi+10OomZcszDw8NWEUqzeH6/bywOedh3ZX3x66H4hoK7Fd4L8GKGhefZg35EgAODEDoajsFgYLe3t6HxgGegrsBuJPqM+JlpeIj9+LNZstor13fDA+oTX/A+Vm6az5dm5XeJfl+D4NM5sxDrTqR1G/wMQLjucNVjXoIfEsToSb/ft6urK/vw4UPYBoNB5vvPGxL9gXBePcSIhxQuqS97hePY2tfrdZtMJuFB9gE05Nyjm4BhPT9zz2/8t33fIw3uv2f9bfyQnn9l8WMhjVja7q6GghsLFCX5+PGjvXv3zr777js7PT219+/fW7/ft/l8LqufgkSfAbjt3GfnDDg8kDw7DeAYLobBx3AgC1NpT05O7OHhwUql0tYYftr9Zfn8qfsxPtkndj4WP49SpHUp/Fg9dxnw2yKmcnFxYZeXl/arX/3Kfvvb39qHDx/s/fv39vHjRxuPx1sjELHr5Q2J/gC4Xw1X3U+GYfFz2ik/cMViMbioED1e2XVtt9vWaDSsXq/ber22k5OTLdfeW+VdonuO38YsvQFI8wT8eyYmfLPHKc0cFD07O7Nf//rXNp1O7fr62r7//nv7/vvvQx6FSCLRHwgH6OCeYizezLbmpccq2cLN55x1xASQuYat0+mEgJ/vKnCSDAspFpV/KZHstPvE90jbH8cAzjzkOAl+/zdv3tjl5aX95je/sclkEmYjikck+gxA9CjDDOFznj0nrfjkGJ54w8JHlHo2m9loNLKzs7Mwfn16ehpmx/l7ATw556WIPI1DPZJYfoH/nP+N10qlYvV63d68eZOYzisekegzABcdY+7YkHK7KyuO55VzEBDBKbH5PDMAAAeXSURBVD+OPRwOwwIZWBlnV2ZaWkBvV5/7c/Cl+sdpHkBsP/5uXJlIxJHoM8DuPRZcQNptpVKxu7u76MKWfi4659yz8BeLhU0mExuNRjYcDkPq6mQyCcE/eAhYwQVdDD+M5zPpvnTwKsv5n9oApSUMZclTEBL9wfCQXalUsmq1avV63Vqt1tZSVZy7nua6+jp1SDtFMI+z1nhZrOl0amdnZ4m121BDL7a+nv8Oh3CoSxwLyO3L5MvaAKUF/fZ1Z/IeoTfTqrWfBW/pW62WtdvtIHq2xL6oJPfJ8bD6mWU4llNPMYX39vbWBoOBDQYDu7y8tPPz87CgQ61WSywJzZZ/V6ous0sku4SVlufvj01LIjo0Q9C/clAzyz0LiT4TeHBh6bF66nw+36pdD3jIyAufP99sHpeQ5nnqPFMNwr+5ubHXr18Hi48FG3nCDy/1HKvJz/cRS47hhiJtUo/PJPRDlLHU4VhSUWzUAa+xjUdSzCz6vUQ6En1GMFZfqVSs2Wxap9MJbr3Z9qw4M0tMCPHVYlj8OAfq0rPLjyDfYDCwT58+hYUbX716Ze12Owi/0WiEKb5w/b0XwPEGX+uOI96+SAdbVp8tx14Ll/vmLXaumAcSy8rzWY6YxIR/K0p/OBJ9BtjCYGio0+kEscaWWEYQzvf38ZCm9YW52i1noA2HQ7u5uQkCh+AbjUYQPrZarRaSWDDdl6vscF5B7N54XXjuNphZQvB8LH4njHJgGS9ufPh8HPjE78FdIlyHp/uiJsFmswlr1cnSH45EnxHu12M9OrjmSNrhtev4AYerf3R0tJW4k9Y3ZncZ10agr1Kp2KdPnxLDhxhJQKEOHl7E9F8uSe0LWXrRQ6TeU2AvAQlEXLsPv0W1Wg2zC/GeV5rle9rnRTw8PITioI1GI6T1ckUhsR+JPiN4qGFt6vW6mdnW+D0P5eHhnkwmVigUbLlchkBebOx9V8SaI/3z+TzRX2Z3nOfxQ7CcTwB3GbEIjkngWrw0NK+Uw+JkQXK3AMFOCL3RaIStVqsFL8QL35+Xux2Ip9Trdet2u1YoFBIFS8Rh6Jd6Av7B9kk76E/78lk86QaTbdjq7xsC840DL9LoI+LsGcSi+bDU3o2OfU+uC8AWOS3AxnMUkL2I3wT5Dex9cGkxdvH9/SDxpt1uh4KkrVYreDSy9och0WeEH2xYexY9P+QcUMNDPhgMwgq0yLTjXH3g03eZXVl5Hp6LvytKnlZ2yhf23Df0h/3Y++DYAETOFppLhiMiz9fkqcmNRsO63a6VSiXrdru2WCy2GkyxG4n+ibC1h7WOiR79WWzVajVUfEGpKDNLWDb/AKMPztdOC1x58cZKS2dhV84/7i32d99QwFvwXgNce94n5qnAa5hOp7bZbKzT6YQ1/ST6bEj0T4Ctj5klZtptNpuEe1+v163ZbIZEnk6nY1dXV6EqLDLu4PJjco13+bm/y6/gqVluu77jvmMRY/Dw1F//ysORR0dHtlgstgRvZolGAlYeBThiC3CIw5HoD8QnqyBinJbsUq1WbbVahVTdTqdj3W7Xzs/P7eLiwvr9vt3c3IQab0i55aWlMPWWV8h9Lg4RU9o+sYaAfzuscMvW3Cfz8JAehkhrtVr4LdvtdhiK3JWZJ7aR6DMC64P3HO02s0Q/fL1eW6PRsNVqZZ1OJ1R6QS49Fn/gFFu8R2OARoDH+b812JJDoLF/Q/zo46OrBG/p9PTUer2evXnzxt6+fWvdbtdqtVqoLCQOQ6LPAEem8aB6dxf4jDJOZOEVYWazWWgAvPgxvRaVYDGpxxfq4KKc3u1Ni/6nJQX57+LTZn1ark+n9Vabk3p4nD/2nvfhXAPvLfV6vZCGXKvVtkYVxG4k+gz4/uahLrBPK+WkFr+GHIJ7SLv1Nd79opAowuEXhfB16NPuJa1f7Mf9/fg/xBqz1rwfzwHgwKdPy2XRc6Qfwvfj/c1mMwz9ce6A2I9En5G0SSK7iM0Ui01Y8VVx0SBwrXgWPRfY5Lrxfnqvn1CTVn3Wj7XD1fZ1Adky86sXPQvYpyenufqxc3ByUSyfX1Y+G4U91kqh0c9M2u8dm1nmU1G5Rnzack+xteT95q/j74uF7zP+fJJP2mvMiseOS+s+xGbopR0jUon+OBL9C2JXnzvNMseEnHautGulERtz59dD3mc55qnnEKlI9ELkjKjoNR9RiJyhQN4vlM+dqSZ3+peDRP8LRSIVaci9FyJnSPRC5AyJXoicIdELkTMkeiFyhkQvRM6Q6IXIGRK9EDlDohciZ0j0QuQMiV6InCHRC5EzJHohcoZEL0TOkOiFyBkSvRA5Q6IXImdI9ELkDIleiJwh0QuRMyR6IXKGRC9EzpDohcgZEr0QOUOiFyJnSPRC5AyJXoicIdELkTMkeiFyhkQvRM6Q6IXIGRK9EDlDohciZ0j0QuQMiV6InCHRC5EzJHohcoZEL0TOkOiFyBkSvRA5Q6IXImdI9ELkDIleiJwh0QuRMyR6IXKGRC9EzpDohcgZEr0QOUOiFyJnSPRC5AyJXoicUdzz98Kz3IUQ4tmQpRciZ0j0QuQMiV6InCHRC5EzJHohcoZEL0TO+P+WN52QPf+OZwAAAABJRU5ErkJggg==\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 beta:  32\n",
      "[1. 1. 1. ... 0. 0. 0.]\n",
      "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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Liu+rH6DwMIjoPULWFYDquc5bS69ao3Nh835yTrFtvoFGt9tFvV5HvV5Hu93GaDTCcrlUjScpCrBcLtV0m295PRgMbEU/n8+V041+8ri3CPjlIaL3CO9uw7dZdlMB5yRuJytPgu/1emp7rJOTE9TrdfT7fSwWC0s0gCw9pahSAgtZbnLM8a63vIU1b2VN10Dv2c37EZ4HIvoN0BNo1jnknMRuV4nHrTyJt9VqqVTTz58/o16vq8YdgUBAOQ7J0tP6mlJWyRtPU3DeodfpWty8j+fCU01keixE9B7h8XG77Dm7L5idJdd7xfNpP1nf4XComm+enJzg+PgYp6enaDabGI1Gdzzr9Do8l53W5eT80w8AFsE/V2Gv4iW+p29hpejlw/rKOi884SZTjHvOSZh6SI0sNW2kcXx8jF9++QXHx8e4vLxUPfV5dpqe/spfZ1XM/qVs9SyJOu4RS7+GdYkz+mPtKuGcwm9UbDKZTJT4aR3f7/eVlT8+PsbZ2Rnq9brKYOOVfvpr8dkDX5vzGL3+nJfCS3ovD8VK0ctayIqdmPW/Oa3tSfCUh04hMspQo3g2hecodbVer+Py8tKSo77Kq65HB7joVz3+uaO/D6p94E1EX8p7/VbE0ruEO9h4dhwlyehdbnh2HN/sstvtotls4vLyEvV6Ha1WC91uVyWy6CmtNCjQJhrUvGOVteZrdf1vTs95SVC2ZC6XQzwet+zdJ4Zsjeh//fXX73UdTxLKvguFQmqtPZlMVAYaCZBnxvGKueVyqZxpw+EQnU4H7XYbV1dXakfb6+trDAYDyzSfXoNXntEAs07IfMq/TtTPuQSVdgAyTROGYai+BolEAnt7e9jf31c7AOndjPzOStH//e9//17X8eQIBAKqsMY0TbWrDS8W4aLn2yeHw2EEAgG1fqcachI55aPTubhDj+fK6/nybp1uXr7cz3HqS2nQ5XIZBwcHlnZjpmkim80il8vBNE1EIhGVLi18ZaXo//a3v32v63iSxONxtUHkYrFAv99XmWsU9+aWnpfMkuhpqk5reDoHT5QB7vaJA+Aqdg54s9huO81uChUl0U8Ad7aU5u+Phz3tqgb1nW8jkQgMw0C5XFZNRT98+ICDgwNks1lLH4NVPQr8TGDVP7hSqfh6eKTe9NFoVCW9UPEI957rJbN8DUlWfDQaqefzpprfgpcvs55X4BSG3DSEx9t7R6NRxGIxy3bZ/HPhDkYuaFoe0RKJ+0joMYZhqB18+T4B+XwehmF42tfPB9h+QVaKPhAI+Fr0zwE3wueiIcGTFQbuJufYhSL1pCQuRhJrLBaDaZqW7kB6QxH+GjRLoqxC6jDEfSO8loFEn8lksLOzg1KphFwup1qGS6vwO9h+GOK9f8HYTZF5tx4uQj07kPIN7Jp/0BGNRlULsHQ6jUwmg2w2i2w2q9qGkZONCpL0oiMagPi59VoG/thwOAzDMJBMJpFKpdTefhxZv3/FaQAU0b9A+D+bN9rgFXkUbQgEArbNNrgg9VZfNHUnsefzeWxvb6NYLKoOQiR4stxO9Ql2nYXWdQEKBoNqVuCU9iw4I8k5G7BmSeTp8feF/rpcZNTiKxaLKQ839QPgoUXyN5DoufMsHo+rjr+JREK1Cctms0r0eo9AmqbbCd5O/HbY1QvQgMRnDvJddY/k3t8zj/2Z6c46Hk5MpVLI5XJq+h2Px9UmHZQYxPvH03KA2nqnUil1ZDIZy5FMJm3331tVbuzWH+Hkb1hXyizYI9P7FwBfu9PvvO6fhEsOsJ2dHeXtJtFTnzzejos88TSVJ8Gn02mk02n1u2maSux2zUTusx5fny2I4L0jon8hOMW7af1rmqay9MViEfl8HqZp3hE9WXsueprSc488WXZy1HkVvPB4iOhfELoVJPGRIy4Wi1kEbBgGQqGQKvMl59gq0ScSCWXZ3fbuv8/3Z1fkJHhDMhl8ymP7HoTHQyz9C4J7sXldPRXsjMdj1UIrGo3i9vYWwWBQ7fXO22qRpedttgieoMM3weCe9Yd6f07vV3CPiP6FQCmteoktb73V7XaVx34+n1sceU6ip1z3RCKhNo+k6j/eR58EHw6HLZl29ylMu0xBwTsi+hcACUsXPm/LNRqN0O12leBvbm4Qj8fV86icl0J2dE6K7/MsOPLeUwYeefL5Wp+H7AD3cXmn92d3e5NzCZKc4wrdgfQUk3MImobzop/pdGqZ9lNbbcpo44VBfDca8v5Tck4sFkMikVBOPbvknGw2eydevyobz+42R0/K0Yuc1m3tLdxFCm6eOeuSXtal4QK/zQh4HT+dh9br9Hi7NNxcLoednR0UCgXHNFy9vJZfp56Cqw8Qdmm4lPtPMwrBFim48Qt8IOeddiaTibL8esEN78yjh8V46I8ERwNAPB5XOQCZTAa5XA6ZTEZN+d0U3PCtvJ0KbgiaddBMw07wEpn4itPsRyz9M2fT0lq6D9istJafk+cBeC2t5QlE60prg8GgyiwsFAoqycgwDMfZhM/xbukrlcrDXMozgbaljsViylLy7aLt1pdk0YDfmmhQbz3e8+4++s27/YLztTA9j6rrHrKJBh205RYXvV7Jp5ft8vJf/vnSNuG7u7t4/fo1qtUq9vb2lPhF9OtZKfo//vGP3+s6niR6uyzqkWfXLovWyzwdlWLjtJEk3xGWt8uyqyIDvLXLAtZvtrFYLFzlwW8yPeYDIDUC1Sv97B5POM1CeDoxTykulUo4OjrCjz/+iB9++AEHBwfIZDKOmYJ+nPI7+TpWiv5Pf/rTg1zMU8NONBSu+pbGmFS9RqJvtVpotVqWPeB5Gy2+iSQ51ngMfJ0Vdit+L/d7xe21fguRSER9lvV6HcfHx5bGmLlcThpjAvj9739ve//KNf3nz5/990kxnFpgk+C56Mm5xdeWVKfOd5FttVq4urrC5eUlGo2GapbJxU8xczoeqgW228c8Rch7bxgGTNNENBpFIBCAYRh49eoVDg4OVAtsv/a9/8tf/uK9Rx6A5/mNeADIgvHNLmhqzqefPHYMwLI/He1cQ5tdXF5eot1uWza7oIM2u6BW2bLZhXvS6bRsdgHgr3/9q4j+vuA95QCrR9suzMTTYfm2Vp1OB91uF8Ph8M62Vt1uF9fX16jX66jVarKtlUfIicgHYd5y2w80Gg3v3vuX+oXwgp4kwn/apZg6CYvi3JT7Ho1GkUql7nSs4c4/2sAymUzi7OwMl5eXyhG4tbXlegNLWmrYif+lOLn0/wHNmIS7SHLOGnjBCBeIXQcXx2QI1tmGNlTkGzdwLz6fEWxvb6u2VnwjxkAgYNmqWn9dWlLoW1XbOfpoyqsPaMLLRXLvPbLOQ77uMyNPMok4FApZ1uhc+KZpIhaLqcfySrbRaITZbKbOyZ2HNGOg5QJ3BOqH04zhuSGDlXvE0nvEbq3MY8p2ltcuw42LlN/PHYYU7ychkxMvGo1iMBhgPp8jEAhY8tsp7DcajTAcDtU22LwunnLreddbniyz6r0/R/SBmv/u9DeCL49W5Tg4nfOxz2+HiH4D9G2tAKgmEk4FMLq4Vz2HhAgAiURC9bCbzWYIBL7uzNrv97FYLFT6K09zHY/HGA6H6PV66Ha7av+8yWRiKarh0Qh+P/3NLg+fX+NzwU2kw+l3fp/b/Iendn4dEb1H9LAdADVFp5Cd0/PssCsN1Udwst5k/fP5PG5ubgAA4XDYkuq6XH7dc4+LvtfrWTz/ZPEpBEgddfQmGauiBMLzRUTvEXKO0ZSZptuUn68XiRD6uh24W1pK8JkBiTqdTgP4mhpcKBQsU3vKAqQBhBKCaHrPLT1FCUj0NCugNGHaRptShfU6AT6o0WyHBkEeyrTLJRCeBiJ6D5DVnU6nSky3t7eqqwyVkJLjTV9v6V504G4FG4ccdJFIRE35DcOwdKulTEAabPjMYDqdWpJ+eGovfwwlDZHwO52O8gXQc/TiFz7jmUwmlr75Nzc3ltelkl63uEknFjZHRO8R6ifX7XZxdXWF2WyGZDKJ2WyGRCKh1te8lNXOkaf3h9fRw3wAVHyfzscbZPBzkahpfW6Xx0+PIwchWfzhcKhmBpRuTK/Nsw7psyCx39zcoN/vq8GDzxw6nY5aXqwTskSMHh4RvQfIuk0mE1xfX+Pi4gL9fh+pVAr9fl+1iqKOMXo/eBI7WWjA2eNP0HOo7RR1u+HndMoCtFtS2L0nLn5uscmPAMA2zZgGk8lkorrsDgYDlU14fX2NdruNVqulBoJ+v28ZVMgvwq9HeFhE9B4ggUwmE3Q6HZydnaHVaiEej6Pdbls2cCSLT2IlofMSXOpR55TYw+/TnYRO/gD9eledkz9Gnx1wLz5wt/SVfx48L4AKkkajkRoIut0uOp0OGo0GarUazs/PcXFxgaurK1V3sAnPNZrw2IjoPUJr+n6/j0ajgbOzMwSDQbRaLdUmirrFkLhJ7FQRlkqlkEwmAdzN5tNFqa//193Wn+t2Om23Z73TYzm6v4IPHjQQjMdj9Pt9tFot1Go1nJ6e4vT0FF++fEG73Uav17NULvLoCD+4w9DpGoX1iOg9wq09resXiwXa7bbqB0eC5xbdMAy1l3uhUEChULjjxXfq7rpuFrAKL2vk+1xP80FgPp8jk8kgn8+jXC7j8PAQ7XZbRQp4jwI6eHIRPYaWBRRedHoPL6We4KEQ0W8AZchRL/nxeGxp6EgdXsjzTnXf1Nvt1atXGI1GlnAYpdsCqwX/1B1dejIP+SGo2CiTyaBcLivnITkBnQTf6XTQbreVT4AiC91uVyUeUfTAqexYsCKi9wi3xvTFHQwGtll3fBCIRqNIJBKo1WpoNBrqy0qOMgCqpbPeJ/6pC53jdpDS/QGUP0BTfGogQgMATx4iX8H19TUajQbOz89xdHSE4+NjTCaT7/E2nzUieg9w7zv3YE+nUwC/OcN0a0MDRTQaRaPRQKfTubM9VLFYRCqVsqTU6o675yR+NwQCATULoFCkXtvAfQQ8ykDdiL58+YKffvoJHz9+hGEYODo6Qq/Xk3X/CkT0HuGtsXhcnKb8dnnrJFiaypKHmywWWbByuYxcLmcJ+Tl57Z873zqI3d7eYjweY2dnB9vb29jb28Pvfvc7nJ6eqsgAzabsCm38jIjeI7ReJwcdT1RZV6xC1WyUxcZFTz93d3eRy+XubA0lPd2tBAJfG5fm83mYpon9/X384Q9/QKvVwq+//opPnz7h8vISg8FA9QwQB99XRPQe4I4p2t2Fd1vl01K76aWeIUdLA3IINptNVP9/H/dSqYR8Pq+m/PwaXuJUn+NGmNxnEo1GVW3C7u6usvztdhvj8dgierfnf8mI6D3CRW+aptpdZTqdui55XC6XytNM09ROp6O65B4eHuLw8BD7+/soFAqqDTdP9gFezlRf51veVzgcVv4R+p94qTX3AyJ6j5DzyTRNtWVzq9VSpa5eIItP1p5CVNQmu16v4+DgAPv7+yiVSshkMpbowar0XT+hi5pyJAR7RPQeoCliMBiEaZpqi+ZGo4Fer6estxv49J+eN5vNcHNzg+vra5W59vbtW3Q6HYxGI7x69QrZbBaGYSiLr9fv+3EQ8ON7/hZE9B4h0RuGgZ2dHZRKJVxeXqLT6ViSQ7wkiXDPPwm/0+mg2WyqKrV2u41ms4lKpYJisYhMJqP2bvNTW2e3+H3dDjgPhiL6DQgGg0gkEigUCtjb21Oip441tFYH3H/59LRVikePRiM0m02cn5/j5OQEHz58wIcPH3BwcKA2baTwnhsnn1P7K7e4ef6q9/y9rLJYf2dE9BuwtbWFeDyOfD6Pvb09NJtNS2hoMBgo670JgcDXffCoGQWt8xuNhjpqtRrK5bLaYJM65+pbPev7vLsdEPi1rPqdP89uQBDxPT1E9BtA2XXpdBq7u7sYDAaYzWaW7jL9fh8ALLvSukX39FP9/mw2UyW9//jHP1AqlVAsFi17tafTaVXTrw8Cdo09eNYbzyjkjT70ve3puvSsOb7jDy2D7J67biBYF/lwU1YsOCOi9wiP1ZumiZ2dHZWGSwU2kUgEV1dXqmT0PhpMzudzdDod9Ho91Go1VbxSLBZRLpdRLpexs7ODXC6nhE/Wn9f28+2L9SafVADERa/vGa/X0oaVmGYAAAWSSURBVOu5B/Q5UNai3j/AaRbi1ATEbrceGlyd+hEKqxHRbwBZMWpYeXt7q35PpVJIp9M4OTmx7EEHwFJcs+kAQGW91Piy0+mgVqshmUyqOn7DMCzJQ9Qtl+f08z55dHDhAlBiJ6Fy34E+YFBuPH02kUgE8XgciUQCqVQKmUwGmUwGqVRKzUT4PvL8vPqAQgfwW8swakbK06EFd4joN4TScU3TvBO7z+VyyGazSKVSODk5sVTVeQnrrYOm+91uF4B1Ew1upcni8mk+hQh5myx9ik5Tc7LSdD69MSZvtklWmMqJU6kUcrmc6iOQz+eVH8IwDMTjcct1Ab8tOfQmGnxgpc/YLmwprEZEvwE0HaV+93Q7Foupzrhk8TOZDI6Pj3FxcYFms6msKz+XjtdBgTvS3HSd/ZZ0VBLZujbXNFhwa0+fi2maME1TNRsJh8PK4vP3pPsZotGoqsevVqtqEOD7/AnrEdFvCLemZGEpPZeETxaOEmqi0ajy9E+nU8s6/3vGlb/ltfhsYN3jqP11v99HvV5XvhD6rPiSgabput+A1uxbW1uIxWIoFot4/fo1ACCXyyGXy0n2nUdE9BvCPdS8+EMXPq1ns9ksisUiTk9PUa/X0Ww2VdcdN69ld5uwK73lwtZzBvS0Vd6uS4cL3G3fPP54PXRp9365p9/OqcfTa9vtNhaLBQqFAt6/f/8iNt/83ojovwFa25IDijaQ5F5r6o1XLBaxv7+Pk5MTHB0d4fPnzzg/P0e73VabZrjBTniLxcIiFCdLvioURufxyn3MUMg/oL8P4O5ARJ10ePtsmdp7Q0S/AasSVmggIKsfi8XUVL9QKKBcLmNvbw+VSgUXFxdoNBqq1xu1hKKmGhQKdCOsbxHfU0hZdVrmkFOQHHh7e3uoVqsolUpIJBIWP4DgjsCaf/jjfxueMOssKk1v+fZPg8HAsgsMxd4pt75Wq+Hs7OxOuM9vUJOMRCKBbDaL7e1tVCoVvHnzBu/evcO7d+9QrVaxvb2NaDQq1t4e2w9FRP+A6OLn8WfeE566u15dXanquouLC5XTTy22eN937tXW95vXk1rsrof/1G/ztT6v3bdLptH9DfzxTod+Hp65R86+cDisPP/ZbBalUgmVSgXVahWVSgU7OztIJBJqt14RvS0i+qcGDQB8L7l+v6/aO/d6PQyHQ4xGI9XmmXaS5Uk1dvfRphE8hq4PFnojT4qz645JfvD23rpgdfFS5h3/m/4Yu4NeixKLTNNEMplU/QtSqRTi8bilc7Bgi4j+KaLH2PXZABc2HfQ7JfvQ/XxgcBK+fugbW/I0V94LkCfo8KadPB1Wv4/ScfXH6Pn8+m275zs9V1iJiP45Y5eWarf9E7/PzrLr9f52cXc7a20nYF2sdkU6dn/Xp/vA3eWAcC+I6F8Kdmtzvn538oS7DeUBd2P4Tj/126v+JmL+7ojonwPf2uRCEBi2XyCJ0z8xROjCQyOif0Y8hSSa+0YGue+PiP4ZIQIR7gMpRBYEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8hohcEnyGiFwSfIaIXBJ8RWvP3wHe5CkEQvhti6QXBZ4joBcFniOgFwWeI6AXBZ4joBcFniOgFwWf8J46PtTWPVXPUAAAAAElFTkSuQmCC\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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39dxy8n7X63W0222Mx2MA9wccqvXv9/sqvt1ut9Hr9Wy1AjQ95+E0Sn6heDn3losQ3w4ieofQOhqAuiTn3LIMunndXPQpLbeg4/EY/X5fteaivHIqJKHlBll7En2n00Gj0VCWm/a41xt90PvwNFfeLJN/7kWfRXg9iOjXQPdkryP2RS21SHAk+GaziXK5rPrpV6tV9Pt9tQEED/1Ra24KlfV6PbWm1y23Pk1fJuTXKvSXmsj0XIjoHUI/INowQr/d9AMzTetNsXC6n6/jm80mLi8vcXp6iq9fv+L8/Bz1el3V8estpvmSgKbzvKc938ySzmnZJpWvnbf4mR7CQtHLl/ULi2LgdP8yrzN/Do+JUwYaryjju97SJpi0J165XEa321ViNr0P3wqKLDu35Pwc9Qy21+o5l0Sd1RFLvwSnWW/zsuq4GHnGGjV/oFJd2teepvWXl5eqxTbPYOO70ejvxb3ofBnBrfyiz/CaeUuf5alYKHpZC91H97Dr9837zshhdn19jW63qzzrnU5HZadRzJu86LQhZrVaRb1eV9tk0bKAC5nOiV/XHzPPf/AW0D8HFT3xJqJv5bM+FLH0K6KvxfXsOHKkmbLjKB5O+9bTVtaVSgWNRgPdbhfX19e2clOqG6eUVbp/kYXXL90gdhOWZWF3d1e1C+f+DjFkS0T/9evX73UeLxIKh/l8PltDTLLItF6m2D2vqQd++ZFRmiplvNXrdVQqFVxdXaFaraLVailLTxl3/D3ofXSvuwndMbfsca8ZaiwaDodVtaLX60U4HMbOzo5tByC9m5HbWSj6v/71r9/rPF4cHs8ve6FTEc1sNrPVffNsNZ4ZR+EzAGo63+l00Gw2Ua/X0Wg0VDkpZcnxRBhe/ELWmkQ8r2yUMvE4i37grz3m7vf7YVkWtra2cHBwoNqN0Z5+yWQSqVQKkUhE5S+8ts/4lCwU/V/+8pfvdR4vDo/Hg1AohFQqhXg8rkRPjjdqrUzTe9rDnX5kgF30tIan6fo8673M6WY6z4eG3FbxfDvx6tNyh+czLJpWm9qD8YMvnfx+P8LhMAqFAj58+IDPnz+rvf1oMxC+U+9bbje2Lp5F/8i9vT1XD480hQwGgwBga/Cg7zdPU3ze6oqm97xd9kN2s9Vx+mPmj9f3v1vUfMK0V55poCFx0gBI350uQv2caFnEW4yZdt2l/wdZeb5PQCqVQjgcdrSvnwsw/kAWit7j8bha9K+BVYU/L4sQMFt3fr9eCqzfrwud1tnUHYim2X6//97AQ4Ml3c+7Dellw7RfQCKRQDabRaFQUGKn2gOx6jaMX4Z4710AFzyfSnOR6JV/PNOPLDDNZEiQZJWDwSCi0Sii0Sgsy4JlWUgkEqp/IG3aoYuYDyb8Pei19fOjZVQoFFItx2hvP46s339h3gAoon/jcGFRYRBfI+vWkf4mAdL0PBAIqBZg5Lughp+xWAyWZSGdTqsjkUggEonYegyYGn/qA5DJB6D7PWiQ0GcO/DML85HknBUwObEWObx0vpflMb03FzcJmYTLrSld0tra5/OpaToJOxwOIxQKqYEgFAqpLr9k4S3LUhaeN/00iXnedY6pOIisPm8cIr/V1ZHc+xVw8j0813c2T/AkDm65uYNNt/y6BY/H4+qgkBgJn9p907qdBgXuuFvW1nuZWBf1IFhW3SiYken9G4Cvw/Xb+XSdhEripek6raFpFkDtvxKJhG19Ho1GEQ6H1YDBBw/e51+v/FskSqeDpD47EME7R0T/RjAJnoe6uKDJs04C5vcHAgFEIhE1ZadLfaDgBy0HTB53EeXLQ0T/xjCtk7kzj1p9kdUnRxu/nQaFWCyGRCKhPPNk2Unkuld/nj/jsYSv+1ZkQFkPyWQQFiJ+nbeHWPo3xrzGHpTDzzMEKWefLDZlHFIREQ+nAb/20w8EAsaNN3hP/KeY3psiKGLtnSOifyPc3d3Z1vXc403tsieTiXLazWYzTKdT5cij2wOBgCosojqD0WiEeDyu/AHcgcev80w6EuRjOttWaVgiLEdE/wYggen582TJPR6P6shDj6eWXDz7jZJeKJW21Wopzz333vOQXTgcVoMBhfMeM2RH52u67uQ1hF+R5JwVMOWoO/nxfY91sWmqS9afuvYAwGg0Ur0BqKsMz8yjQYA8/SRoXfB0kNPPsiwkk0nl8Q+Hw/fEb5ryL0vQWZacs0pYULAjyTkrsOr38Nzfl+n9ufXnNfqTycSYhqsn8/AUXBIxTeUpK4+n4WYyGVWOzLf60j38esGOnopLj5kndp6GK5V1zpDp/RtHr82nll+LxKLn6y8quKGkn2g0qsSfSCQcFdzw1+JFN8sKbuLxuGpYon9mYf7sR0prXzlOS2vpOhfeoqWKXhCjO+f4zICSdWh9H4vF1LKAZ+vxc+bVejSDWKW0NpfLIZ/P20prTfX6Lsd5ae3e3t7TnMorgeeqkxdcb6KxqDEmTaMnk4naH+65mmjonXMf0kRjXqceyv6b10RjXtENt/T6rIJ/p4uaaKTTaYTDYRH9CiwU/e9///vvdR4vDo/n13ZZiUQCd3d3tnZZfNtnmnbSGpimnNPp1NYuq9VqodvtYjAY2GLiekGJ03ZZnEWP5/fxfeqWPX/RgKA/lzr2ejweDAaDuQ48U/2+Pqug2/lBDsatrS28f/8enz9/xsePH3FwcGBsl8Ur8dyGaekDLBH9H/7whyc5mZeGyTvv8XgQCASQSqUQjUZxd3en+tHzxpiUyLJKY8xGo6EaY3Y6HbWTLA0A1GjTtDONbqk5vDGm6bMs47EFsex8H4rf71ffZaVSwcnJCfL5vOrUk0qlpDEmgN/97nfG2xeu6b99++a+b4pBLbApmYWm6qYW2HyKStaF9qTjLbAbjQaurq5sLbCpKy69vn5IC+z70KyKt8D2eDwIh8PY3d3FwcGBaoHt1r73f/rTn5z3yAPw+n8djwilofK94kj08zrR8M0urq+v0Wq1UK/XcXl5iaurK9TrdbWzrGmzC1oO8D3j9aacwP0cgmVLhLcg/HkkEgnZ7ALAn//8ZxH9Y8Fz2YH7Hm7T40n4w+EQ3W4XzWZT7R3PN7ugTLler4dWq4VqtYpqtYpGo6EGB9nWajnkROQJPHqq8lunVqs5F/3srf4iHGByPpkSRhblmfP4uGkDS/IP0HKA9qVvNBool8soFosolUqoVqtot9uygaWBdXwZb53ZbCbdcNdBrxgzFX0sKyzhcWZ6nNfrVTFt2tmGBgbyA2SzWSSTSZXZRv6CTqez1lbVJmGYbn/NwnGrp94JknvvkGXCXvadkeB5qE8P21FuPHW3IWciOQwDgQCGw6ESvT6FpUGDlgwUGeDip/fknn96/9fIaz3v50AsvUP4VJnHmknEpsIXPRTIk3nmrbNvb29V+I/XxG9sbCASiaitsShqQOWxfH/7Xq+ndsSlLa55YhAfbFZxcr1WYekzGT2113Qfsej/qj9m2fXneH0TIvo10B15y3rC6VNOcvrpt/HX50kltEa/vb3F5uYmLMtCv99XDTB4xtvNzQ2Gw6HKDeCbZZL3X1/z0/KCQoN8qUHnYzrH18KySMeix/LbVk18emmvryOidwhfd5MoKBmHT7NNzzP5A0yX3Dk4m81UctBsNkMgEEAmk1G18bw55cbGBm5vbzEajdDtdtFut9FsNtFut22JQCR4svyj0QjD4VCFCclRSElDdE7C20BE7xCyiLReJiHOZjO1PjeF7vR1O3C/qIXg0z16TZpVhEIhNVWnTEBKAaaEILL2NL3n22LTOev5AzRIUBix1+upEOK88CANHPRaPI9BBomXi4jeAfTDn0wmKnFmNpupjSH4Fk5cyKY1tGk5YFoa0I4zoVBIVZnRDIOXudJsg89ExuOxre0VrxfgDsPhcKgyBuno9XrK4tP78c/ElwM8qch0TCYTRym5En57WkT0Drm9vcV4PEan00G1WsV0OkU0GsVkMlGhNe6Amxfm49l78/wAAJTHnl7T7/erWYCeBci98uQDiMfjKnzHY/aAPVJAuQODwQD9fl8lDJGl18tryaLzDMJ+v49Op4Nut4tOp6MGEF5nsEzIEjF6ekT0DiAxjUYjtFotXFxcoN/vIxaLod/vI5lMqu2d9KYRPGuPPO6AfSqvo1eg0XTelBCkO9moXoDKghd9JpqW0zp+PB6rg1t58ldQmI/PFHjEgITfarVU5iENAPQY8h3ouQZi3Z8eEb0DSCDj8RjtdhulUgn1eh3BYBCNRgPpdBqWZaktlHmbKN57jlpNUbunRYk9AJSnny7nOQBN52tiXpahXlvAZwam86THUx4AHzAo47Df7yt/Qb1eR7lcxvn5OS4vL1GtVlVtwTq81mjCcyOidwit6bvdLiqVCs7Pz7G5uYlms6laRZHoKZRGZbfUVioejyMWiwG4vwmjLmB9JrCqL4A/dxG6M5EPTvMey6FBgfsJ+GAwmUwwGo3Q6/VUhWGxWESxWMTl5aUKKVKDEYoY0JKEpyeb8gwE54joHcKtPa3rb29v0Wg0VLdYEjy36tTmKZ1OI5fLIZfL3XPqzevuumjqvwwna+THXE/rvgXLspDJZLC1tYXDw0NbUxFTn33yE/R6PVsUgnwHw+HQ+L58ww3BjIh+DWazmQqLdbtdjEYjtNtt21Se7/dG3V4sy0Iul8Pu7q5az5JXm3LrgcWCf+mOLj3hiPwam5ubauDb2tpSSwESOBc8DQC9Xk+FERuNhi2y0Ol00Ol0VNLReDy2fZ/CfET0DuHWmIe7vF6vrQUV/eDpCAQCiEajKJfLqNVq6PV6NkcZAFuOvWnK/9IFD6w+SPFcAfIJcN8AlSHz3gKDwUB1L6IQ49XVFUqlEk5PT3F2dobJZPI9PuarRkTvAO59J+HTuhX41bGlZ9/RQBEIBFCr1dBut1U+PK1j8/k84vG4LeTHs/teg+Cd4vF4VJ4BhSJNPgKeAETfN/lVLi4u8I9//AM//vgjIpEITk9PVf4EINN8EyJ6h/AsOEqIIaHzbjqmDR5p6krTWvJukwXb2tpSLZ35HnNvUfzLIhbLoNBpNptFNpvF7u4ufvvb36JYLOLi4sI2mzIV2rgZEb1DuHeb8t0BKIeVSfTAr7ME8mpTthyJni63t7dVM07aJIKs4VsR/GOwsbGBYDCITCaDaDSKg4MDjEYjNBoNfP36FV++fEGlUlGFSfMSpdyIiN4BJFzyyNNUnOLnfErKp5f0Y6NBgTe4oLVrp9NBvV7H4eEhdnZ2UCgUkMlkVHovP4eHWsmXzirC5D4T/v3s7Owgk8lge3sb7XZb7d1nSot2KyJ6h3BPNGXf+Xw+VchCLCt/5E0tyPtfrVZxdXWFo6MjHB0dYX9/H7lcDpZlqY6vfLr/VoX/kM/l8/mUf0RvKfZWvy+niOgdQpVvFH5KJBJoNBq4vr52/Fpk8cna8zbZ1WoVlUoFh4eH2NvbQ6FQUJs58Fi0/JDvVy1SU0zBjIjeATxrLRKJqF1aa7Uaut2usiyrwKf/9DzaEafVatnSVT9//ozhcIjd3V0kk0mEw2Hbtk/6OboNN37mhyCidwiJPhwOI5vNolAo4OrqCu122zadNDXNmAf3/JPwKVedmmA0m03U63Vl9ROJhNq7zU1tnVfF7et2YP5gKKJfA6/Xi2g0ilwuh52dHSV6qrPnDSecCJ+eR7nnlPzTaDRQKpVwdnaGT58+4dOnTzg4OEA6nUYkErlXw7/I8ukRBaes8vxFn/l7WWWx/vMR0a/BxsYGQqEQ0uk0dnZ2UK/XbaGhfr+vrPc6UAccSkclq1+r1dRRLpextbWFZDKJeDyOcDisoglU3Ufe7UUFPRyTWFfJsDMlwrymLEK3IaJfA8quSyQS2N7eRr/fx3Q6Vdl6Ho8HvV4PAGydalZF9/yPx2O0Wi1Mp1O0222cn5/jb3/7GwqFAvL5vNqrPZ1OI5FIqD3h9UGAN9yg9+BVcfr226btunjYS6+q03f80bfvXnUgMEU79OtuCF0+FSJ6h/BmFpFIBNlsVqXhUjqp3+9XteKj0ciWqbcuNzc3aLfb6Ha7KJfLCIVCsCwLhUIBhUIBW1tbyOVySKVSqnSXhE/iJ+tPUO4ALSd4DT19TtqU05QgxBOSeCFeSCsAAAWzSURBVI88SmCiTr30nSyahejiNeU98PPi2YoifGeI6NeArFgwGFR719Pf8XgciUQCZ2dnKJfLag86wL4n/LoDAJX1jsdjDAYDtNttXF5eIh6Pqyw+2iCDMvqCwaASHwmFBMo3w6DBiSCxU6UgF76ebMTr3GnwC4VCiEajSCQSqtcAnSedI5+FkHj1mnx6H3rtQCCgkqN8Pp+I3iEi+jWh8tlIJKJi95FIBIlEAslkEpZlIR6P4+zszJYH7iSstwya7nc6HQC/Dka6lSbRcoFRiJAET80r+RSdpuZkpem1SPTULosXxdD7UjlxPB5HKpVCNptFJpNBJpNR3w31HuDnBZi35rq9vYXH41EDayqVQjKZXNh2XDAjol8Dmo5SHzq6HgwGEQ6HbdbNsiycnp7i4uIC9XpdCYW/lo7TQUFvebXK+a878JDITNWE+uPI2sdiMXXE43FEIhHVRJT6CFA6M/9Muq/A7/fDsizViIO+c2r/LayGiH5NuDUlC0trWG7h0um0SqgJBoOo1Wro9/u2dtTA940rP+S9uAiXPW40GmE8HqPX66nBgsKLZN1pyUHFS/oanQZYKrDJ5/N49+4dAChrHwgE1v48bkREvybcQ82LP7jwybJZloVkMol8Po9isYhKpYJ6vY5Op6N2qln2XqbrhKn0lgtbzxnQ01Z5uy6dZZtbLovV66FL0+flnn6TU4/+DgQCaDabuLu7Qy6Xw8ePH6VTzhqI6B8A7047m83g9XrV/nJUiRcOh5FIJJDP57G/v4+zszOcnJzg27dvKJVKaDab6PV6K/94TcKj9e6ix5hu1//mTrxVeYwZCncK6oLXByKqUaCoCCC5AE4R0a/BooQVGgjI6geDQcRiMaRSKeRyOWxtbWF3dxf7+/solUqo1WpqMwhqBUU94cfjMYDVhPUQ8b2ElNV5yxzy1pMDb2dnB4eHhygUCohGo7YQpLAaniX/8Of/NbxglllU3hGWGmcMBgPb7i8Ue6fc+nK5jIuLC1xeXqJer6twn9vweDyqr2AymUQmk8He3h7ev3+P4+NjHB8f4/DwEJlMBoFAQKy9GeOXIqJ/QnTx680gqSc8bQdVrVZVdV2pVEK1WkWz2VQNInnfd76pJE3LuUfd5F3Xrek868rX+rx2X0+mMc14+OPnHTysCMCWucfbkVGcP5lMolAoYG9vT5UaZ7NZRKNR1WNARG9ERP/SIMFOp1PVM4/2gaMpP/V455tB6AdPsOGHninHw2D6dfqbnGncMckPuo2ExhNrSLz8Pp45p4t73qFvEBKJRBCLxVT/Aorx60k9wj1E9C8RPcauzwZ491c6SOh0SQMCXfLBQRe+nmuvC5+nuZLw+MHDbLzPP0+NpYOLnotfz+fn1/XXotcwDRoi9qWI6F8zJFL94Hnz+t8my67X+5vi7lxYXLi65daFayrSMQnbtERYtGwQ1kZE/1Ywrcn5+n3eWn3VUB5wP4Y/71K/Pu8xpr+FJ0dE/xp4aJMLQWAYf0ASp39hiNCFp0ZE/4p4CUk0j40Mct8fEf0rQgQiPAZSiCwILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5DRC8ILkNELwguQ0QvCC5jc8n9nu9yFoIgfDfE0guCyxDRC4LLENELgssQ0QuCyxDRC4LLENELgsv4L+x9DigMONpnAAAAAElFTkSuQmCC\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",
      "[1. 1. 1. ... 0. 0. 0.]\n",
      "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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nn/DDDz/g+PgYuVwO7XZbhPiazea+nj6Xy4nQVTk0dRwmyUx7iD35Q98avWtY9A8AZUALHc1mE+VyGclkUhTB/P777xGPx0X2GK2oy19sZRGLj7muhyTeSXkM72GaDBU9f1jjM8xNVs15Vil4mm/TAlssFsPu7i5++OEHvHv3buKAlnGy22YJOQ5CrrzDDIZ7+iGMKpRRjCjV9seVQTByyKkcsvr27Vt8+PABsVhs4oCWWRT0KNDnPyj7kbnOUNHzXOhmJrGhbrfbKBaLyOVyYmW9UqmITLNqtYpCoYBkMomTkxPs7e0hFouhWq2K5xrW2MzyF3/Uz1N+j2rrCJTsJNfum+XPZZpwT/8RjLNlJw/bc7kc4vE4zs7OcHZ2hkQigVwuJ7bOaI+d4tULhQLq9frMe7mP24moTZVGEbDdbseTJ08QCARgtVr7XI24I7tB9EdHR3d1HQ8OyounYpA6nU5E4Snj0uVCj3LmHIW4UnRasVhEPp9HOp1GPB7Hzz//jFgshmQyiUKhICLnKHpu1kR9E+O+n5tCb8mYhLYr6baVlRVEo1EheoPB8GgWJafBUNH//e9/v6vruHeU22Vzc3NwuVxYWFiA3++HXq9HpVJBuVwWiSONRgOdTkfUY7darcJMgxoJCpSJxWJC4JeXlygUCmJYT5FyNKefNW6Km78NLBaLcBCORCIIBAJiSO/xeOD1emG320UjzIL/laGi/9vf/nZX1/EgoFVfvV4Po9EIt9uNxcVFBAKBPtFTUgpFuM3NzQmzDIvFApPJBOAX04hisYh0Oo3z83P8/PPPyGQyKJfL9/k2p84wQcllrtWQtxyVh/I8sg+3WCyIRCJ49eoVvvnmG2xtbWFxcREOh0OkM1OoNA/nrzM0DHdlZUWzzaNerxchrna7HTqdTmSUyavu3W5XfMmUFWPlGvaFQgHlclkzlk46nQ5ut7uvqi55BsrnkJcgldamGvZqjYVOpxNlv5aWlrCxsYFIJCJsx5hrqLZ4Q0Wv0+k0K3pmMPLeuJxKbDQaYTQaYbfb4Xa7MT8/j/n5efh8vj6fAfl5SPAWi0W4DdF5cgNKayf03F6vVzQot53hOMNw7P1DYVgAz0OFel8qwkFCdTgcQoQejwdutxtOpxNut1scDocDVqsVRqOxb8hNv1NqMv2UBS+v1tPiKjUOcgNCzMrneRcMmtqw6O+Bh/DFVJpiyLcDvxpMkr8f9cR0kAFoIBDAwsICFhcXEQ6H4ff7xYo6DdmHzbHV5vJ0TYO27IalMvMc/mY4OOcG1D6DG6ZEquc+BKEDvw6pSYiybx/wa49utVpFjy334JTRRyafHo9HDONJ8LSDwTxMeE6vIeShNM2dabhODQC59nq9XtGLh0Ih+P3+vqG6bPFNWX6yGSjzIOA5vZYhwdOOBK2s22w2MZ82Go2wWq2i9w4GgwiHwwgEAvB6vcLPn86XRwxq7rS39T6Yj4NFrxFopZ1EHQwGRe9NvT41CD6fr2/l3e12ixgEeR9c3l9Xez3mYcKi1wgUKky9ucvlgs/ng8fjEYKmeTyJ3uv1CsHLq+rK+He15B8W/cOFNzc1yqTD74eyIMlMDvf0GoGy/OQacUajEe12W8zTLRaLyC2Qow/Ji0+58DcoZJZ52LDoNQLZaNdqNeTzefR6PVSrVVxdXYmhOyUNUTRdKBTqW8ijlXul+Hkhb7Zg0WsEsrsGfun1G42G6O0pzp2yBe12Ozwez1hbdvIW4CzU6dMyQ/fp9Xq95idwWgjOkYfpFJxjsVjgcrlEAA4F5zgcDpFAMyw4h/LbmXuFE26YXxkUhkv3yWG4NN+3Wq1ipV8tDJe8B2jFn8Jw5WKew8Jw1cp0yT4H8rUNunamDxb9Q2GWE24o6YYSX+Qenw45fNflcomgHrWEG0qtpcaFgoTUEm4otZYTbkZDN2COxaJnxkYpWjqoQZBTa/1+P/x+PxwOhyi9JT8PCV5eJxiUWmswGGCz2URWn9vt5tTa4Ywv+idPnmhO9NSj3GSiQfZWdL7BYLiWUUZmG+SPVyqVNGWiQWsCdrtdBPjInY/cWAwy0VCm4ZpMJrhcLiwvL+Pp06eIRqMIh8NsoqHO+LH3v/3tb2/nUh4wJOK5uTl4PB4sLi4iGAxCp9P12WXJ9duNRiPMZjNsNlvfIhZZXadSKWGXlU6nH51dlhq9Xg+FQgGlUkl4Bg5Lh1WzzKL75PN6vR4sFgvW1tYG2mUpIwe1yqDEp6Gi/+Mf/3grF/PQUIaVysaYoVAI8/Pz0Ol0wqKa6q/Lxpi0fUXx6UpjTCoDTQUl8/m8MMasVquP1hiTCnBOG6qum81msbu7i2Aw2GeM6fP5NG+M+fz5c9Xbhw7vj4+PtfdJ/QdkjqlmgU3Ddhre0x432WArPfLIx55KQWezWcRiMZyfn4vKssViUYwe6vW6qCPPDIZyBcgCu9frwWq14smTJ4hEIggGg5r2vf/zn/88/pweXJ9+aiiLXVxcXPQVu8jn88IOm6YRpVIJ+XwepVIJ1Wp15nurcQQ3aPRAtw9rEK1WK1ZXV1WLXYx7HbPMX//6Vxb9Q4Fq1VE56UFlrVKpFI6Pj0VZK7mO3WMtawVMp9gmDfVlR91ut6upVf5MJjP+Qt6sf3mmwbAv4DhlreRzjUYjPB4PHA4HwuHwwAKWiUQCu7u7cDgcMJlMiMVifTsAj/X/M877Ui74USUbmiYx1+HY+xtQCnvQF1I5/Bz0ePpJawbKmvQ0DfD5fMLmmY63b99if3+fS1UPgEpVz/r7uG3YGHNMxv1Mxhkp0EELghS04nK5YLFY0Ol00Gw2cXFxgUajIeaotDVDjRKl0NIIQvlajwk5t4EXPkeDe/oHgFqcubwbYDAYxC6AXq/H8fExcrkcWq2WCEs1m83Q6/XodDqoVCq4urrC1dWVqHg76XWN28iplZC+b9S2ZOnvQfcRdM5NayiDnvO+n18NXsh7wFDv1Wg0kMvlcH5+jsPDQ5ycnCCdTgsDDIp6m5ubQ6vVQi6XQyKRwPn5OS4uLpDL5VCpVEQZLnkqQa/zUATKTI9er8duuNNmnIW8SaFMNwoztdlsCIVCKBQKopij3W4X8ertdhvlchnZbBbJZBLpdBrZbBalUklEEJLwafhfr9fF9iAFvUwbedTAjcz9wj39BFAvKVe5HVZ1ZRqvR/H+tVoNjUYDrVarL/+dklMoIKher4u9fiqeWa1WRVBRt9sVgqftQSqnnclkUCgU0Gg0WJwzzKCenkU/JvJCGQlPTge9LaiRkQNM1GLV6RpJ1M1mU2xfUWNBPX2n00Gj0egbGSQSCWQymWsjA/k1la9BC4zU2FC4MuUp3IQWdhbuAxb9lKBYcupFO50O7Ha72EtX5oGrMemIQPm/GiU2gBqKTqcjwoblFW9qwBqNBiqVijgot6DVaonz5aQY+bE0AimVSsjlckin00gkEuK4vLwcmlMgP+eo7525GZ7TT5F2u43Ly0ucnJygXC7D4/EgFAoJ80gyeFCmhiqtsybd/hvmN688n3YBRrGvkntvGslQQwHgWmNGwUQ0miiXyyK3IJlM4uLiAslkEplMRkQd1mo1kX1Ho4BJ5/jKz4MZDRb9mFCefDqdxrt37xCPx+Hz+RCNRrGysoJgMCiqxshzbXner/x7kmu4DeRGwmw29wUNqaW6yiMJaigajUZf/gCNiIrFolg7ODw8xO7uLk5PTycKNKLrUDaoLP7RYNFPQKfTwdXVFfb29rCzswOn04lEIoHl5WXR49PeORlDkMusy+USo4FJ9sFvE+XI4abrk33qTCaTeA76SY2CPPyn0OLFxUUcHR2JDEPKKlSbktCog9YN5OdnxodFPwGdTgfVahWZTAanp6fQ6XRIpVLCIppsouWa7h6PB+FwGGtra1heXobP54PNZutLxb3vBmAar68cEdDUgho8l8sFv9+PjY0NXF5eolAooFKpiHRiErbcUFxdXSGdTiOdTouAo0GCpxEUh+MOhkU/AbSFVq1Wkcvl0Gw2USgUxFCeDB6pKKTNZoPP58Py8jI2Njbw7NmzPpsnygZ77BiNRuFtF4lERJwAZRfKwq/X66hUKsjlcmJ9IB6PI5lMChOScrmMer3eNxKQdzgYdVj0E0Kr1+QKU6vV+u6nrTyq+U758wcHBzg8PMRXX32Fly9fIhqNwufzwWw2X3v8LKLWuyp97pRTAkLONKTGoFqtivWAfD4vRgbVahXlchmXl5eIx+M4ODjA3t4eZ9aNAIt+TGQ/NxmlUUOv1xMNQr1eR7FYRDKZxNnZGeLxOCqVipivrq2twe/3w2q19jnAziIf01hRoJG8iNjpdBAOh0VAkRwbUK/XkUwmsbe3h++//x4GgwE7Ozuo1Wp924A8zO+HRT8BchTcTfvLBJ3TbDYRi8UAAKVSCalUCl9++SU++eQTrKyswOl09p0PzG6vr8awkYDyNnlUMAgqt+33+xGNRnF0dIRYLCZCj8nHUBlYpGVY9BNAi1Nk10xRbqPSbrfFdhXNTykYZmlpSdhF0/TgMTHtBsxqtWJ5eRmBQABffvklstksDg4OsL+/j0QiIRKNRgkA0gos+gmgWm9keT2qlz198aiByOfz2NvbE1l0Z2dn+OSTTxCNRrG0tASPxwOLxQJg8oCeWWJcQdJIgHZIAGBhYQE+nw/hcBjZbBb1el0YYnJP/wss+hGR97ANBoPYhvN4PKjVaiMJX21+mc/nsbu7K/avj46O8OrVKzx//hwrKytiz1/e2nusTKtBm5+fh81m68szmObzzzos+gnQ6/VwuVxYWlrC4uIiisXi2JFl8lCTEmIo771YLOLi4gLRaFQcCwsLotdnfkUtH4ECohh1WPQjooxUo73mSCSCZDLZJ/pR5o5q9zebTZydnSGXy2F3dxcrKyt4+fIlvv32W+h0OszPz4sKLoN6La31Zlp7v9OART8BOt0vddrW1tawvr6Ovb09nJ6efvRz0jZfNptFNptFIpFAoVBAtVrF5eUl1tfXEQ6HEQgE4HK5xh7uD2qIJk1tfciC0/q8HRj8/2HRT4BOp4PD4cDS0hIikYiIIy8UCgD6F91G/fKpnVcoFLC9vY10Oo3t7W28ePECX3/9NT7//HOsrq7C7XaPJPxhvnXKa1Qm1Nx0jR/DbTYaD7lBum9Y9BOg0+lgsVjg8/mwurqKTz/9FJlMRgh/Gr70JEbKVKO9Z0pdjUajCIVCcDqdIt6f6ugpA3yUU5NxrmHY38xsYvjLX/4y7P6hd2oV+ctP/vVGo1H40yndYqYhlm63i0qlgmw2i5OTE+zu7uLg4AAXFxfC2orCV2W3m9u08WIePP9d7Ubu6T8Co9GI+fl5fPHFFzCbzaKXtVqtyGazqFQqUw0DrVQqODk5wcnJCQAgEAggEong2bNn2NjYwNLSElwuF6xWqyi8Sem9tAAojwAozFUObaUtLsqtp/rxao5AsoWX0jOQ7LspiIk+H3kkMs6axGONULwPWPQTQqaUdrtdiMFgMMDj8WBlZUUk1iSTyWuPA8Yv3aR2fiaTQaPRQDabxf7+vsjYI6GR0GkLi0RIpZvJGUcuq9XpdMTzy6479Fg59JgeS48j0VOYssPhgMfjQTAYRCgUQiAQgMfjEe69ci15ZQNAefXyT/osZBMSZnzYI+8joC8kOcaUy2Wk02kcHh7ixx9/xJs3b/D+/XukUqmRo/amCUWhyaJVil4uuy1bY9HjSfhyw6H0yCPx0wiBkmYcDgdCoRBWV1extrYmnIU8Ho/wG6DGSSl8MtGQRxF6vR4Wi6XPs2AUGzANw8aYt4GyR6pWq0in0zg+PsbOzg5++uknbG9v4/j4GJlM5trj1Xo4+acSOZx0FvLGHQ4H/H4/AoEAfD4f3G43bDZb33BfHkHI2YqyXVev14PJZMLCwgKePn0qApacTicP9wfDxpi3gfxF1ev1sNlsWFhYgM1mQzgcFnH0r1+/xvv375HNZvsEPa5wZy1VlBY2Ly4u+tx0ld6BN7kId7tdWK1WbG5u4ne/+x10Oh3sdjvsdvutWo8/Rlj0U0D+otI832KxiNh8q9UKu92OpaUlxONxJBKJa1F8w557WE+mdNwdhNoIYpTHTfp4eZGQphLToFAowGKxIHirMp4AAANbSURBVBQK4cmTJ1hYWOh7Te71b4ZFP0VkgVIPRqGzwWAQz58/x/n5Oba3t/H27Vt8+PBhIjdYeVFrkiH+XSagTDudlTISyaaMGR8W/S1CC09msxk+nw8rKyuIRCIIh8Pw+/1YWVlBKpVCpVIRhpDVahWlUkkYQAwbzn+smGZlmkCVeT0eD5aXl7G1tYVwOAyr1Tpx4JGW4YW8O6TT6aBWqyGfz4vCkuT5VqvVUCwWEY/HcXh4iIODA5yeng6tDKMFaPFufX0dW1tbePbsmUh0WllZgcfjYbEPhlfvHwLyajTVkqvX66Lyy/n5Ofb397Gzs4PDw0NhBCHPkel5bvqpPFe+BvlalOfQNEU+hq0djJLxp/YYeSqkfB0yKnE6naJ3/+yzzxCNRhEMBuF0OkUZMWYgLPqHDLm/FgoFkWV3dXXVZ/NMteUozFbe1qI9dmWhCPpdLj6hPJdGE7QQJkfhyUE+8oq7MhQZuF51RtloAOjbmlM7KJKP4gqsViucTifm5+cRCASEqQiLfSRY9LOALEby16dqsI1GA81mU0TQKWMESOTkGEPCV4p/0H2E7AFIhxzGKwt/mNBlp6FhQpcFT4dsPCqXA7tpN4Ppg0X/kJhke0m5DaYWwKIWD6927qD75H10Ep5aL68U+6CfwxoEFvCtw6LXCmrz9GG58YMMMgaJl5kZWPQPmZu2z7QktmGfhZY+hynAomcYjcGx97POrATTjAP33HcPi36GYIEw04BdCBhGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmPM3XC/7k6ugmGYO4N7eobRGCx6htEYLHqG0RgseobRGCx6htEYLHqG0Rj/H0/lX1SgNZkCAAAAAElFTkSuQmCC\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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qlRCLxfD+/Xtsbm7i6OgImUwG7XYbBoOha9+fLH0mkxGBLHJo6rCMm9l3Hy35fd4avQtY9PcEWSS0aFev11EoFBCPx7Gzs4PNzU388ssviEajaDQaYkFPuaZAC420wHad67lP4h2Xh/AeJklf0fOHNR7D1q9T22eWV92z2SxOT0+xtbWFf/3rX/j3v/+Nz58/I5/Pj3VNg5jG/7fskcidd5jesKXvwyhbSf1KScvn9ko6kbvMUNfbWCyG7e1tvH37Fu/evcPZ2dlIRTt6XetDgrydXtmPzFX6ip7nQv0Z5fORz202mygWi10po+VyWexxl0olsRh3dHSEnZ0dnJ6eolwui9fqF2k37V98tfclt8ySf5d/lu+jZCe5d9+0fy6Tgi39NRhly07eIsvlcri4uMDZ2VnXCjuFp1LMOtXgKxQKqn3xpulLPKny28MI2GazYXl5GV6vFxaLpauqERuyAaI/PDy8reu4d+j1+q6VcQAiCo8O2gKjQB06KHKtV6DM5eWliE2nHPFsNiuKQ5DVv63gmNtgUgOU0prb7XbYbDYYjUZ0Oh1YLBYsLy8jEokI0c/MzPCWoURf0f/973+/reu4c+TFNxKx3W6H3++Hx+OBXq8XsekUn16tVtFsNkU/dovFAovFIopi0PbZ5eUlYrEYzs/PEY/Hu/LI6ZAHk2laiOrnit8ks7OzWFtbw/Pnz/Ho0SP4/X6Rzux0OrGwsACbzSYGYRb8b/QV/d/+9rfbuo57gRxjbjAY4HA4sLi4KEQvp4qWSiVUKhW0Wi3o9XpRLMNiscBkMkGn04m5ezKZFFb94uKibxGIaWNQrIHs+aj1yaP75GQe+X61BVGTyYSlpSV8++23+O677/DVV18hHA5jfn5eeFsUKs3u/FX6huGGw2HNDo96vR4mkwlzc3OwWq3Q6XSibpucekoLavRlkxNvOp1OVwGJYrGomZJOZrMZDoejq2gItc2WXW29Xi/KjlH/evkzlItbUikyh8OBUCiER48eYX19HaFQSFQwYrpQ/UD6il6n02lW9ExvlBl+ZFXlmoButxsej0dUEqJ5t7y9BnwpSGIwGMRqOxUfoQFCPl+v18NqtWJhYQFutxsulwt2u12kNDNX4Nj7+4Kam3vfoSkPHSTuubk5uFwuOJ1OOJ1OYd0dDgdcLhfm5+e7CosQyvUTKiumdM/pXPKoTCYTrFYrrFarakHRafk8b4Neng+L/g646y+mbKkHPW4wGGAymWA2m2GxWGCz2WCz2WC320XFoGAwiMXFRfj9fiwsLIisP7WSYWp/i27V5v6EPEj0S2VmF38wHJwzgHFWp9Us+V0LHfitFsDMzIywqGrvT7bkZMHJitvtdnE4HA4sLCzA4/HA6/WKcmFms/nBFfx8SPCcXiOQG02Vea1WK8xmc1evexoUqDGH1+tFMBhEIBAQc/P5+XnhXtMWGd2Se86CvzfwnF7L0Ao5ueVOpxNzc3PC/e50OsKdt9vtWFhYQCAQwOLiIgKBANxutxC8LHDZdb+ttQr2QK8Hi14DyN14qLWWXJ+fLLNOp4PFYoHD4RAuu+y2U+BRP7HLf5O5n7DoNQAJ02AwwGKxCEsud9kBIFx7p9MJr9cLj8fTVdZbXpQDeltzFvz9hidfDKMx2NJrANrnlvvDWSwWdDodlEqlLjfdYrGgUql0JRU1m01V956ew5Z9umDRawC5p1w+n4der0etVsPl5SVMJlPXnJ4W8txuNwKBgFi9d7vdcDgcsFqtMJlMMBqNV/bgeSFvOuAtOw0hN9OkiDaDwdB1zuzsLEwmExwOB3w+HwKBQN8tOzpMJlNXOy/mXjB67L1er9e86B9ScA4A4ZrLK/BAd887OTjH4XB0BedQK27a+ltYWOha9LPb7Rycc3/ghBvmC4PCcIHfUl0p1p4sus1mg9Vqxfz8vGoYLgm/VxiuHE8vh+CqHTJqYbi9QnsZAYv+vvAQEm5oikDip2N+fr7rPofD0VWXXy21lkKC5XUCZStvqlBkMplgs9m66hbITMvneRvoeoyILHpmZGRLTFacBgWaFrhcLvj9fni9XjidziuptfS9o9RaqjxEi4Q0QKil1rpcLng8HpHcYzKZOLVWndFFv7y8rDnRyw0kqIiGzWaDTqdDvV5XLaIBQDSRNBqNXfPkRqOBUqmkySIalGI7jKWnRUb6HJWWnv4vVERjaWmpq4jGwsICu/pXGT32/ve///3NXMo9Rq6E43Q6sbi4CK/XC51O1yXeYrE4VrmsRCLxoMpl9aJaraJWqyGTyQyceyvTauVzlWWz2u02jEYjwuEwvv76a/zwww94/vw5VlZWYLfbuwqUan0Q6OX99BX9H//4xxu5mPuGsqyyXBiT9qh1Op3ouU7FLEn0/QpjlkolpFIpURgzkUjg8vJSdIil1yLP4SEVxiRP5ybIZrOoVCrIZDI4OjrqKozpcrm4MCaAly9fqt7f170/OjrS3if1/6E5KmWVAV+aVMjipJbPlNAiV30BfvvSV6tVlEol0Q46lUqplsAuFAqoVCool8siKo7pjdlsFtMvg8EguvguLS1hfX0dPp9P03Xv//znP48+pwf3px9Iv04zyvNarRZqtRry+TwuLi5wenqKaDSK8/NzpNNpMW2gwSGXyyGbzSKfz6s2u5gmJiU22c3vhcViwcrKimqzi0ley33nr3/9K4v+vkCLe0pRV6tV4RVkMhnE43EcHh5ie3sbZ2dnKJVK4jUeclsroHcvQOVUrBdUaFMurUU7AFohmUyOvpD3EL4816WfVRilrZV87szMjEhg8Xg8onElNbGUG1iGQiGx3XV6eopisSjc/of8/+n13tTuVwb9dDodMYAyV+GEmwEohT3Ml7FX8I2yCCTFuctbWNQKy+Vyie0uqjq7ubmJvb29seb6w05Bpg35fVGN/Gl8H7cJF8YckVE/k2E9BYIWEOV68FRskuIEotGoWOWX684TrVZLLDQ+dK9A3imYpl2Pu4Qt/T1Bjj6Tq9ZSxFu9XkexWAQAuN1uZDIZtFotGI3GruAX2iZMp9PIZDLIZrNjubnj5snftwQjQH1Lln7v9RhB5wxaQ+n1mnf9+mrwQt49hqwX5b5/+vQJ+/v7ODw8RCKRQKvVEplwVOSy2Wwil8shFovh8+fPog02Nckk95esIndzfbh0Oh2uhjtpRlnIGxfq3+Z0OgF82Y7y+/3IZrNot9uwWq0iAcVgMIhOuRQLkEgkRJdcCiFuNptdhTXK5TLy+bwIGGo2mxN/H2qLbczdwJZ+DMhSyo0VbzLNk4J8arUaKpWKaJENQGS9yXHtckAQiTmfz4vIP9opaDQaKJfLYnvw7OwM0WgUmUxGeAbM9NLL0rPoR4QsJEXlAehKCb0paJAh91zOiVcrVUW7APV6HdVqVcQByJGEzWZT1MxLpVKIx+NIJBJIp9MoFAqo1WrCK1DGxZO1pgGkXq+LhcZSqSRCliuVysD39lB3Fu4aFv2EaLfbYlEtn8+L0M+5uTnRPXWYBJNxUP6vhokNaLfbYv+/1WoJscqPyZ5BqVQSyUTkUciZh7Lw6bk0RSgWi8hkMkgmk4jFYiLE+PLysu/KuryIOex7ZwbDc/oJ0mw2cXl5iePjYxSLRVFBRu7lRoke8t68cmV73O0/+XUGDS60AzAM8iAgV8OVRS9HtMneRKVSQbFYRDabFV7D+fm5ED0lyND6ASUb0fsYR9TDRucx3bDoR4RSZi8uLvDrr7/i/PwcLpcLkUgE4XAYPp8PDodDCF8uMkGDwHXLPd3koiHFCcjegPx3ldMImu40m03hMVQqlS6voVAoiHwCCi3e2dnByckJstnsWNcqX4syR5/pD4t+DFqtFtLpNHZ3d7G9vQ273Y5YLIalpSVh8eUqMFSB1maziX7tZrN57L3w20BeMxgERRYC3V6IvP5Bawfn5+fY29tDMBjE0dERYrEY8vk86vV615qFPC0hr4MyHOXXZ0aHRT8GrVYL5XIZyWQSJycn0Ol0SCQSYr+c4uqpo6vVaoXD4UAwGMTq6iqWlpa6WkrJdeenHWXRC+qhRwOew+GA1+vF48ePRV2BUqmEarUqFgPpoIEinU4jmUzi4uICmUwGuVyup+DJW+Fw3N6w6MeAVq1pu6teryOXywlXnlbzTSaTCKN1Op1YWlrC48eP8eTJE0QiEQSDQTEV0EL2l8FgEDkFa2trontOrVZDrVYTSTK0PUkLg3LtAdpdoJgCOp88AXkrlVGHRT8mcnALgCtbU5RQQ5bOYrHg8+fP2N/fx8HBAb755hu8fv0akUgECwsLwj0mptXq98qCo1t5ymA0GrvOo+0/eTCQYw0oDZm2BIvFItLpNKLRKPb397Gzs8OZdUPAoh8ReetKRlmogbb2AAg3NR6P4+TkBNFoFKVSSSx+ra6uwu12w2KxdDWgmEauM1hR5SHKPGy323C5XGJ+T1ac5vqVSgWJRAJ7e3v45ZdfYDAY8OHDB1Qqla5tQHbzu2HRj4FcFmvQ/jJB59TrdZydnQEACoUCLi4u8PXXX+PZs2cIh8Ow2+1d5wPTa/XV6OcJKO8bZrvR7XbD6XTC7XZjdXUVBwcHODs7w+XlJfL5PGq1Glqt1pXAIi3Doh8Dctlp7k5zyWFpNptiuyqdTiObzaJcLqNWqyEUCnX1mZtmq6/GpAcws9mMpaUleDwevHr1CqlUCgcHB9jb20MsFkOxWESz2RwqAEgrsOjHgFxQKnk9bC17+uLRAJHNZrG7uytKRX/69AnPnj1DJBJBKBSC0+kURTnHDeiZJkYVJE21qDQWAFG9OBAIIJVKoVqtiroDbOm/wKIfEjn6bWZmBlarVbRuKpfLQyWnqM0vs9ksdnZ2cH5+jp2dHRweHuL777/HixcvsLy8LPb8tdANdlIDGq2PyKnEk3z9aYdFPwZ6vR52ux2hUAjBYFCsLI+C7GrSVlU2mxWr1dFoFOvr64hEIohEIggEAsKaMb+hlo9AUy9GHRb9kMhWQqfTib3mtbU1UbdefnyQC6n2eL1ex6dPn5DJZLCzs4NwOIzXr1/jp59+gk6ng8fj6UqjHXSdWkBr73cSsOjHQKfTYX5+Hqurq3j06BF2d3dxcnJy7dfsdDqo1+tIpVKiK04ul0O5XMbl5SXW19cRDAbh9XoxPz8/srvfayAaN7X1PgtO6/N2oPf/h0U/BjqdDnNzcwiFQlhdXUUoFMLh4aHoUSfPIYf98qmdl8vlsLW1hYuLC2xtbeHVq1f45ptv8OLFC6ysrMDhcAwlfPm11dzhYSr59rrG63CTg8Z9HpDuGhb9GOh0OpjNZrE3/OzZM1xcXODo6AjZbHYiFWhJjNT15uzsDKlUSqSurq+vw+/3w263i3h/s9ksinnIg4FyajLKNfT7nZlOZv7yl7/0e7zvg1pFWY2U9tSpcw1VrVWefx3a7bZohnlycoKdnR3s7+8jGo2KIBQKX202m12lvFismuW/q93Jlv4aGAwGeDwevHjxAkajUUTqmc1mpFIplEqliYaBlkolHB8f4/j4GADg9XqxtraGJ0+e4PHjxwiFQiKBhxpvUnovLQDKHgDlD1AxDPpZLsMt5xAoBxC5hJeyZiA19KS+8yaTSdTzk2sMDMtDjVC8C1j0Y6LTfWlnbbPZRDju7OwsXC4XwuEw9vf3sb+/j3g8fuV5wGiuf6+1gWQyiVqthlQqhb29PSF4EhoJnbawSITUupnq5ZF3QDHtBIXB0uvIfd/l4hn0PBI9nUfZhT6fD36/H16vF06nEzabTQwC8oAiIxfxUEY7ykVImNHhGnnXQC5ASTXmEokEDg4O8O7dO7x9+xbv379HIpG4k8qyFIVG4iJLK4uekn7kGnry80n48sAhi14eOMhDoIjFubk5+P1+rKysYHV1VVQWcjqdsFqtXV6I7EnIYpcTbSj6Tq5ZYDAYbv1znSK4MOZNQF9QuqXMr6OjI2xvb+P9+/fY2trC0dERksnkleerWTj5VokcTjoNeeNzc3Nwu93wer1wu92Yn5+/Iniy9nJyjRxJR5+tyWRCMBjE+vo61tbWEAgEYLfb2d3vDRfGvAnk/HC9Xg+LxYJAIACr1YpgMCji6H/++Wd8+PABqVSqS9CjCnfaUkWLxSe3tisAAAPNSURBVCJKpRLOz8+7qukqawcOCjOmxh5Pnz7Fjz/+CJ1OJ5p73mTp8YcIi34CyJaG5vlms1nE5lssFthsNoRCIUSjUcRisStRfP1eu58lU1bc7YWaBzHM88Z9vrxISFOJSZDL5WA2m+Hz+bC8vIxAIDCR19USLPoJIguULBiFzvp8Prx8+RKnp6fY2trC27dv8fHjx7GqwcrBP+O4+LeZgDLpdNZ6vS4ac9Zqta7HBpUEZ77Aor9BaOHJZDJhYWEB4XAYa2trCAaDcLvdCIfDSCQSot0UtZmiktG1Wq2vO39dMU3LNMFkMsFisYg6g0+fPhVTqHEDj7QML+TdIlTiKZvNIplMIplMimqwVFIrGo3i4OAA+/v7ODk5uZFmktOE0WhEIBDA+vo6NjY28OTJE5HoFA6H4XQ6Wey94dX7+4DcVqrVaokqsJVKBblcDqenp9jb28P29jYODg5EIQh5jkyvM+hWea58DfK1KM+haYp89Fs7GCbjT+058lRI+XcoyMnhcGBxcREbGxt4/vw5IpEIfD4f7Ha7aCPG9IRFf5+h6q+5XE5k2aXTaRSLxa6a8LS3LjeGoAFBub9Ng4Tcw07+nc4lb0JuXyVX8lUG0Sgj8+S6/crKt8oKuBTIJK/cywdF8lFcgcVigd1uh8fjgdfrFUVFWOxDwaKfBmQxUn19ahdVq9VEq2kKhlF2hGm326JijNy4Uil2tccIisKjgBxlGK8s/H5ClysN9RO6LHg65MKjcjuwQbsZTBcs+vvEOCvNym0w2dIrw1aVra2V5/Z6TN5HJ+GpWXml2Hvd9hsQWMA3DoteK6jN0/vlxvcqkNFLvMzUwKK/zwzaPtOS2Pp9Flr6HCYAi55hNAbH3k870xJMMwpsuW8fFv0UwQJhJgFXIWAYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI3BomcYjcGiZxiNwaJnGI0xO+Bx3a1cBcMwtwZbeobRGCx6htEYLHqG0RgseobRGCx6htEYLHqG0Rj/D62QfaZxbiKWAAAAAElFTkSuQmCC\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 beta:  128\n",
      "[1. 1. 1. ... 0. 0. 0.]\n",
      "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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XePLkCX788UccHR0B+LW/Wy8ILXenhpjX8f9buFbAAnVu0oB1EZCl78B5uoVSghJ3lmE3LAtiSSQSWFlZwVdffYUnT57g4OBgoO++yUIQ7p7c1N943nQUPc2Fzg/xtWw2m8jn8zg5OUEmk8HJyQny+TxyuRzy+Tzy+TySySTW19fxww8/IBQK8c+yjjntjj+MAS3ndS9JCVzKS2EJT2q1mrYLRZClv2RY8YdsNstDeUOhEPb29nB0dIRkMol0Os3j1U9OTk7Fp0sllQzrDd3rVKZXuk1TgHeCn56ehtPphMFgaPkMGbIuog8Gg5d1HkOHSqWCVquF2Wzm8fQs3VP4YO4la9YobNDIFtRYhNrx8TG36sfHx0gmk9jf30c4HMbBwQFisRiSyWTH1NHrRi+DUT8DlriK8MjICIxGI9+5MBgM8Pv9CAQCXPSsNfewDoyXTUfRf/vtt5d1HleOcOVbqVRCq9XCZrPB6/XC6XRCo9HweHRW7IFVWmV9041GIwwGAy+MUa/XUSgUEI/HEQ6HEQwGsbu7i3g8znPImUvPjneV++n9Io6bv+yMt9u3b2N5eZl3/mFNO202GxwOB4xGY4t7T7yjo+i//vrryzqPoYBZEWblWcUbt9vNRV8sFnmIa6FQQLVahVqthl6v56LXarUtoo9EIjwBJRgM9tTC+jrMQ8XiFrvcbPAUJyOJ6VQ5iA3GKpWKhyGrVCpMT0/jt7/9LR4/foy7d+/C6/XCbDZDrVbzIqUkdmk6xt5PTk4O7x13QQjddYPBwANflEold++FmWVsnshi4FkePbtZWansTCaDZDLZc8/6q04bFVeo7dd6q9VqeL1eeDweOBwOWCwWaDQaAK1VbRQKBb9u7E8pwbL/F6VSCZPJBK/Xi7m5OQQCAbjdblgslvP42TeN/lNrFQqF7ERP9AZz7YUiZYOfyWSC2+3G3NwcZmdnMTExAZvNxkuECUWvVCqh0Wig0Wig0+m4pRZOHdh2plKphF6vh9VqhcVigdls5h2AyKpLQgk3wwILlhHe/MPsxgtRKpW8sq/dbsfY2BhP+NHr9bwsmMPhgNvthtPphMPhgMlk4hGEQq+BDRTCRVChpRcn6Gi1Wuj1esmqROzYxDvaTqfI0hPd0Gg0fM1iZGQE4+Pj8Hq98Pl8mJ6ehs/nw+joKKxWKy8KqtPp+HxeOKeXqjMgLH3F/t0Jsuo907+lp4vb+Rr02i11WK25Vqtt2V4EwF1olrLLxMxcaqvVyi280+mE2+3G2NgYRkZG+M7FZdHr9SdaIUsvM1hNfqPRCIvFwhttsEVJnU4Hh8OBiYkJzMzMYGZmBh6PBzabDSaTCQaDgVtyVttfuEJPDBU0p5c7SqUSIyMjcLlc8Hg8cDqdMBqNUKlUPKxXr9dz0U9NTWFychLj4+N8zs7m5Z24aI+GrPrZINHLCI1GA6fTiaWlJSwsLMDn88FqtfJFRYVCwVfHHQ4H7HY7rFYrd9t7teQkyuGGRC8jFAoF3+OenZ3FzMwMRkZGeJgqc/1NJhPMZjPfQhPO+3vphEOiH25oEiZjhAIexCUncV9PyNLLiGaziVwuh/39fVitVpRKpVPuvU6nw8jISIt7zxJaKLT1ZkCr9zJCvJA3Pj4Ok8kE4FdLz1bvfT4f/H4//H4/nE4nd/d72ZKjhbyhgcJwiV+37FheAduyYzn6Wq0WdrsdPp+Pb9m53W7YbDa+gs8ebMtOPPcnhob+Ra9UKmUvemZVmAss5LoH57AEF+B0cA4LwrHb7bDZbLBarbzrrt1ux/j4OA/OYZ162TTgsqDgnK6QpScGgyXDsDDcsbExeDweTE1NYWpqChMTExgbG+PCNxgMPAxX2H2nU2qt+NEJEnjPkOiHhZuQcMMW+xwOB/cEWLSeyWTiCTcul6tjwo1SqWypOtQutZYtNFLCTe8o2oyOJHpiYJhghRaapdZ6PB7cunWLp9ba7Xbe9FNYXYfl0Wu1Wh7O2y61VqFQ8LUINt0QVioiTtG/6P1+v6xEL0z3VKlULTXYVCpVS228crncUkSDVdthVou1oxIW0UgkEtemiAY7h7MU0fB4PPB4PBgdHeVVbcTHamfpGeK1FJVKxQOMbt++jUAgAI/HQ0U0pOlf9F988YUsRc/KPDkcDkxOTsLtdkOtVkuWy6rVanyAMBqNfDGLiT6fzyMajSIYDPJyWcViseu5XIdyWd1g17Fb+SpxlZ52x2KViJRKJQKBAH7zm9/g448/xsLCwqlyWe3cfzmhUqn6T7j5wx/+cDFnM2SIBcbmjsLCmGq1GuVyGcViEaVSibd+FhfGFFZyYY0n4/E4bt26hVu3biEUCvHCmOVymbeTFhfGvA5iF3oC7frW9+rZ9MvKygpv+bW1tYWxsTGe+We326kwJoDl5WXJ5zta+p2dneG/8y4IJmSTyQSj0QilUslde2EpbKF7Ly4Y0Wg0UKvVUCqVkM1meWOL4+NjnJycIJFIYH9/H6FQCIeHh4hGozeuBPZFwrYWmbjr9TqMRiP8fj9mZ2dlX/f+z3/+c//uPQDZiv6iEDe7YKLf399HNBpFPB5HJpPh1j+TySCVSqFSqVz1qQ+EVKXbXpJ22sEELNXwg8GaXYyPj58Sfb/fd5356quvSPTDRLPZ5B1shG2thK2tUqkUb2v15s0b/llqa9W9bx2LGhQ375RT1GA8Hu9/Tj9MN81VcR43a7uacKwSjdPpbGliKWxg6ff7AbybJ+/v76NarV6rtlaM8zq/dl6C8P+JrSVc1HrCdYey7LpwlptVqgikGCnLo9PpYLFY+FYhW5z65ptvsLa21vd53ORW1UKkQqWJ01BhzAtm0GvYbDah0+ng9/t5ielcLodkMomjoyO+vw3g1HYYa03NPIKb3qqa/XlTf+N5Q5b+imlnXdmOAAv6uXPnDn7/+99DpVJhbW0NyWQSzWaTV6plK9iNRgPHx8c4OjpCJBJBJpPp+5yEnkGvSCUjDYvnILUly/7d7jUGe4/wvWLExxmm40tBC3nXgHq9jnw+j1gshmAwiNXVVQSDQdRqNTidTrhcLthsNuj1etRqNcRiMWxubmJjYwM7OzuIx+PXdvWfGJxms0mr9xdBpxH6vI7fbDZ5bEAmk0E4HEYkEkGj0cDIyAjPddfpdKjX60in0y1bgclkEvl8HtVqlbv6LP69UqmgUCggnU4jGo0O5Bl0Q5w5N0xewE2GRH9BXLTohd/DYvlLpRK33KxxJgsKYqGqLFQ4l8vxR7FYRKVSaZnzF4tFJJNJ7O7uYn19HVtbW4jFYud+/jchrPi6QaI/R3oV+lmCUDodr9/jsC3AcrnMrT3zHorFIjKZDA4ODhAMBhEKhZBIJHhIMEsqEralYjQajZaQW7adyOIP0uk0crlcx3Nrlz8vvnY0WPQPif4cYVaS3fBswY2lhALSN+lV74YI3Xrg3TnWajXu4jOPoFAo8H1uYaixsLmkcMpRrVZRrVZ5pGE8Hsfu7i42NzcRCoU6Thk6Fc04a7VeuUOiP0dqtRqi0Sj29vZQKBRgs9n4YprRaLxwcfcjgEHPRShmsegZwhyEarWKSqWCbDaLRCKBcDiM7e1thEIhRKNR5PN57mnkcjmeg3AWhiH9eJgh0Z8jlUoFP//8M/7+97/j8PAQ09PTuH//Po/3ZlVipNJJB3XRhxnhdIF5DdlslicWZbNZ5PN5FItFJBIJBINBrK2t4fXr10gkEgN9J/MQhBWISPittBM97dMPQKPRQCwWw/Pnz7G2tobJyUkkEgnMzMxgfHycV5lVq9U83ZP1bWfdXa+SXsQxSBIMiykwm81wOp38deYFFItFvp3Ietfv7u7i+PiYexPCQCLhFKJcLrcsYArDlon+INEPAFusikaj2N7eRiQSQTQa5f3ZWV69wWCA0WiEzWaD2+1GIBDA/Pw8vF4v9Ho9gM5z2ouil4Wz80Sj0UCj0cBkMsFkMsFiscDn8+Hhw4fIZDIoFovc9RcuILK0ZLYFGQ6HcXR01DH1mFXnEa5dEK2Q6AeALeSxghe5XO5UTDzL8jKbzbwL7J07dxCLxXD79m34/X44HA4YDIahqPJyEQOP1FTGYDBgYmICHo+HW2tmyYvFIl9EZLsBhUIBsVgMb968webmJsLhMFKpFI6Pj3khEvZ/wf5OdIZEfwY6uZZs9TuTySCdTiMWi2F3dxfPnz/H4uIiPvvsM3z00Ufwer0tc//rOufvZFXFW5ziBUGtVguj0Qi73c53Rdh2YKVSgd/vx9TUFBYXF5HJZPj6AKs3EIlEsL29jV9++QX5fP5Cf+dNgEQ/AKzmm/DGZbHyUpaG5ckfHR3h9evX2N7eRrlchkqlQqFQgNPphNVq5d1mriPndd6s+hCD5Re4XC4sLCxwt50VI4nH4wgGg3j69CkUCgVWVlZ4Si2rO0Bufisk+h4RWitWGksoeuFA0G0l+ejoCN9//z3y+Tw++OADvPfee7y4o9DVv6xov8tEKuimU2FMVlZbOBAIGR0dxcjICKxWK7xeLx4+fIj9/X2kUimcnJzwOobiyr5yhkQ/ACz0VdjCibmkva4m7+7uIhaL4fDwEJlMhkfMuVyuUxVfbhJiYZ91UFOr1TxGYnFxkSclbW9v4/DwENlsFrVajYte7oIHSPR9waySUqnkq9HC17rBKrOyBcB8Po9Xr16hVqvh8PAQd+7cwb1797C4uAiv1wudTnfq+DfN8ovpdh2FrzMhs0YZFosFTqeTt91i4cRk6Vsh0Q+AQqGA2WyGy+WCy+VCNBoF0P1mkprvHx8fY2VlBa9fv4bb7cYnn3zCXVKHwwG9Xs9rx990wQPdB7VergHbFZmZmWnZupPD9esFEn0fCOeeDocD8/PzePv2LSqVCtLpdMv7eimTxeb+wpV+tlUVCoUwMTGBqakp3Lp1qyXYhSG2enJFfB2Y5SekIdEPyPj4ON577z3E43EcHR31Lfp2c/+dnR2kUik8ffoU09PT+PDDD/H555/DaDTCbDZ3rMAi/H45Ibffe1ZI9D0ivrFsNhvm5uYQDofx448/nvnYKpWKR6ElEgkkEgkcHBwgm82iUqnwMF+n08nd115v9quew16FKK/6Nw8D7a47iX5ADAYDXzByOBwtr0nVLusEizEXvzebzWJ1dRV7e3t49uwZHj16hI8//lhyoa/Tsa9SAJ28noscDMj6t4dEfwaMRiM8Hg+Wl5cRiUSws7ODk5OTgUQmtSrdaDR4jvvbt2+RTqd5zP/k5CTGxsZgtVphsVh4uSzxgt9VxPYTw43qL3/5S6fXO74od1jgyMjICCwWC69PJ26yoFarzyUHnhXHXF9fx+rqKt68eYNYLNbyfZVKhW8JtgtoGTaERT26eSY0gPXF/5R68nrcFUOKQqHgqbQ2mw0ajQb1eh0bGxst4u83CaTdTZ/NZvH69Wv+b4fDgaWlJdy/fx/z8/NwuVzQ6XTQarUwGAwwmUzQarXQ6XQt8f3CqYe4brxwoVD8EH5WeJ5ioQpz3TUaDXQ6Hd96FEcyCo9Jgr4cqIjGGRDO3Y+Pj7G+vo4XL17w+PpffvkF+/v7/P1swa6fog/CRT6p99vtdt5O22KxtHTPZTn9LChIXNhDGEUotrJCITIBi/u+s6QYcV894NckGpfLBb/fz6cjwloDGo1m4AzDmxiifAFQ5ZyLgqWHFotFpFIp7O3tYXV1Fd9++y3++c9/Dlwd5jxRKpVc9GzgYbsFvYQOs8GDDSDsNzPRiwcM1opramoKS0tLWFhYgM/ng91uh8Fg4MVFmAeg0Wi4ByAskMEGJvYb2GcMBgO0Wu2NDFU+R6hyzkXCYvHNZjMvpmE2m+F2u/HixQtsbW0hlUqd+hzrSiOkkxfALD/Q37SBNcYcFFYLrxdYwFEkEuH18ILBIEZHR2EymfiCo0aj4S4/S1gSHkPoQVSrVeh0OszMzGBpaQkzMzOw2WwUhDMAJPpzQJwrbjabEQgE4Ha7sbi4iLm5Ofz1r3/F8+fPTxWD7Df1k1nY60I2m8XW1hZ2dna4qNl0gf1dvG4ghHkVxWIRBoMBjx49Qrlc5tWJNBoNufl9QqK/ADQaDWw2G2w2G0ZHR3nxxomJCUSjUcRiMYTDYaTT6Z7CdTt1YxXXow57iREAAAN3SURBVO8mgLNE7vVT1pu552z6cB5ttSqVCn766Sf4/X5MTEzA4XDAYrG0fCcNAN0h0V8AwhtPp9MhEAjAYDDg4cOHiMfj2NjYwHfffYdnz551bQYBSDeHZN8jfK3X+a1wjtwv/XwfK3Z5nsFB9XodsVgM0WgUhULh3I4rJ0j0Fwi72W02G6xWK2ZnZ5HNZnk03djYGCKRCK/txqrBsHlwLpfruMgmFlO/lWHPWkn2sirRskrCDocDU1NTmJ2d5fN5suz9Q6v3l0yj0UAmk8Hh4SFvGMl6zOXzeSSTSYRCIbx8+RKrq6uyL/GsVqsxPT2NpaUlLC8vIxAIwOv1wufzYWJiAlar9apPcZihLbthg811WdUcFnG3s7ODlZUV/Oc//8H+/j6q1SqP6mOLeMLAmH6Qen+nufpZLKk4HFjqdfY8W7tgKcfAu6nR6OgoZmdn8eDBA7z//vuYnJzkIcfXuabgJUGiH3ZqtRpyuRxSqRSi0SiOjo6QyWR4Y8hSqdQyFegUttquD1y77UGpiDq2yj7IACB1DOGio1DkLOiHxQGw/AG1Wg2DwQC73Q6PxwO32w2r1ToUJcOvCST6YaJTNRdhOCzzBkqlEorFIkqlEm8GIX5vu+8QDwDi8FnxMYSNKqW61bZDqv4diysQH1MseNZumz3ELcFuas3AC4ZEPyycZdusXysv9ZxUzHw7Sy8W/KDWXhzW22lvnjg3SPQEITMoDHeY6WSd5WIR2y1ODuppENKQpSeImwtZ+pvATav9Rpb78iHRXzNIJMRZoT0QgpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGSR6gpAZJHqCkBkkeoKQGeourysu5SwIgrg0yNIThMwg0ROEzCDRE4TMINEThMwg0ROEzCDRE4TM+P/Y/XgDfukq/gAAAABJRU5ErkJggg==\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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\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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dNBHXCvLIrSbmbovM7SCfK6BVhZvUYF0EHOmbcJ7dwkaCkqeb0t+lUgn5fB6Hh4dYWFjAV199hWfPnmFvb6+j777JQpCvntzU33jeNBU9j4XOD7Vrmc/nkU6ncXJyItJV6ZFOp3F4eIjl5WX861//wtbWljgO2WU3On43Ru7zvJeUFuNqE4VU8GQ0Gnm5UAFH+kuG1tEzmQyOjo4QDoexs7OD3d1d7O/vIxwOIxaLidLR4+PjOl/9RnX73XpDq5UNn6Wir9kwhbBYLBgbG8PAwACsVmvdZziQnSL6jY2NyzqProO2RXY4HCKfnibW5A+6kWizRto1FvhdoGT4cHx8LIpQKGPt4OBACH5/fx/RaBSHh4c3pqvaik9/Ow2W0kWYVi7IMdhisWBkZAS3bt0Soqetubu1Ybxsmor+u+++u6zzuHLkM996vR5msxlutxuDg4MYGBiAyWQS5osk4lwuh3K5DL1eD0mSYLPZYLPZ6vZwp8qy3d1dbGxsIBQK4eDgALlcrs44Qp7zfh1Q+trJo+llCWxsbAz37t3D1NQUfD4fLBYLJEmC2+2G1+uFzWar694zv9FU9N98881lnUdXQFGEojw53vj9fiF6uVVTJpNBuVyGTqcTgrfZbDCbzWImOZvNiqqz1dVVbGxsNC1AkXMR+fvnhXLeQK1nYjKZRO9HXqijxmnmmPR8sViEwWBAMBjEo0eP8NFHH2Fubg4jIyNwOp0wGAziwWJXp2nu/cjISHfecRcIzQYbDAZYrVbRfdTr9SJtlf6lSjuqsqObnG44eVELjc1bTXPthrLRs6TO2u12DA8PIxAICEchSh6iSUi61tQwyK8dUG9sKS82cjgcCAQCmJqawsTEBIaGhtDT03OeP/2m0H5prU6n05zomdagtX+K4NRQmkwmuFwujIyM4Pbt25iYmEAgEIDT6RSil3vk6fX6OochZYky8LunHnkPut1u9PT0iPkWs9nMUV0dLrjpFkgs8ijWrd14JZIkoaenB16vF319fXC73XA6nXA4HLBYLKJ31NfXh0AggIGBAfT09NRNqMnH/Xq9vm4SVN6QEJRnoNPpYDKZYLVaG5Y2X5freBk0HCpxpGdOw2QywWKxwOFwCDGPjo4iGAxiaGhIFPxQ5LVYLDCbzTCZTDCZTHXmG4Ta9lTKajy198rfz5xK+5GeL2zza6C8cU9733WJQiaTCXa7Hf39/fD5fOjr60NPT4+YFe/r64PP54PP50N/f78QvMViaatQp1VaubZ8r7YOR3qNQV1kisRGo1HsIFOtVmEwGOByuRAIBDA9PY3Z2dk6l1+bzQar1Sp8/cn1l2fLuxIe02sdvV4Pl8uFvr4+eL1eOBwOmM1mYXNVq9UgSRJ6e3sxOjoqdtIdGRmpm4FvxmX0ZrhxORsseg1BuQdTU1MiTVWSJFHgAwA2mw1+vx/BYBCDg4Ninz1Jkuo212wEC7L7YdFrCIPBAKfTCZ/Ph/HxcQQCAVit1jrROxwO+P1+jIyMwOv1QpIkkdWmXGU4LZGG6U7Of9aFuVbIhazsml+XiUemPTjSa4hKpYJUKoVIJAKr1Yp0Oi2697T5o81mQyKRQCaTEd172qaLJ+tuBjx7ryFoIs/r9aK3t1dM5JVKJZRKJdRqNZjNZvT19YmJPNph1+12iwKWZvBEXlfBabjMu0t2ZMhBabE07h8cHMSdO3cwOzuLsbExEfFpyY6W6yRJgtls5l5Ad9K+6PV6veZFr1b8Qdz05BxKwunt7RX57pSc4/f730nOkRtWXBacnNMUjvRMZxiNxqZpuAMDA3C73XC5XHW9ACqgOW2fv2ZpuI32BGSRtwSLvlu4KQU3Ho8HXq9XiJ0eVHBDBiQ0LKB1frlRp5rrkLK3QEU6wG+5Blxw0xq6Bi0ji57pCBKrPEKT45DL5cLw8DCmp6cxMTEBv99fV1pLKb/K0lqlHwEhL621WCzo6elBT08PnE6naAAue1hxTWhf9MFgUFOil48PDQaDuMEoSsn3YicTDSr5lJtoyGe4S6WSMNE4PDzUlInG0NCQqolGo0hP/6qV1tJ3k7nJ0NAQbt26hVu3brGJRmPaF/0XX3yhSdFTxPJ6vRgZGYHf74fRaBQeedlsFplMRuwCS2Neu90uPPKo+57L5RCNRuvsso6Pj1s6n262y2oFWh1o1S6r2TidPlsqlYRd1ocffoiPPvoI8/PzCAaDcDgcdQ2I1jEYDO0X3Pz5z3++mLPpMpSTRjqd7h1jTKPRKIwsmxljUneTvNnz+bwwxpycnMTm5iYikQjS6bTYUpoaEDom0c2Cb8UYk9b/L4KXL1+iVCohlUohFAq9Y4zZ29ureWPMe/fuqT7fNNKHQqHuvesuGBIyRW+9Xi+695VKBaVS6R0LbOrey6Oa0gKbHqlUqs4Ce29vD/v7+4hEIkgkEle6y+x1QZIkuFwusXlnpVKBzWZDMBjE5OSk5n3v//a3v7XfvQegWdFfFLTZRTabVd3s4uDgAPF4vK5hSCQSIk32unFRm100axRps4v+/v53RN/u911nvv76axZ9tyHf1kq+pZVyW6t//vOfYj96ACKqydHytlZq0LZWys07tTTLH4vF2h/Td9NNc1Wc182qlr1HY1Cv1yvGwTR0KBQKODw8RDAYFM/v7u6KYUWz43cj53l+p3nm0VzKddk45LLhKrtTOMvN2srsu/KGNRqNkCRJmEzKd9v55ptv8Pr167bPQwtbVQPqqdLMu7Ax5gXT6TWkijeyqrLb7UilUkgkEjg4OBDW0QAaWkZTj+Cmb1VN/97U33jecKS/YpqtW9P2TGazGXfu3MGf/vQn6PV6vHr1ColEAgDgcrnEDLbJZEKlUsHx8THC4TDC4TCSyWTb5yTvGbSKWjFSt/Qc1JZk6b8bvUbQe+TvVaI8TjcdXw2eyLsGVCoVpNNpRCIRrK+v48WLF1hfX0etVoPP54Pf7xdZb+VyGZFIBCsrK1heXsbGxgbi8fiFrZcz3UutVuPZ+4ugWQt9XsenibxisYhkMont7W2Ew2HUajW43W5R2ipJEiqVChKJBHZ2drC1tYWdnR2R/ks5BpRAU61WUSgUkMlkcHR0hFgshlQqde6/QTlv0U29gJsMi/6CuGjRy7+nWq2iWCwin8+jWCwCgNhFhpKCKBMul8shnU6LJUF52jAJv1wuI51OIxaLYXNzE69fv8b6+npHQ4LTaFYqy1wMLPpzpFWhnyUJpdnx2jmOvBHI5/MolUpiYq9SqYgkob29PWxsbIieQaFQeGd5UG1rKmpAqBGh7zo+PhZee81olHPPJp1nh0V/jtANLreYUu6J3sj84aqQV7fRudHvoAxB6hlQAyFvJKh0Vr4Nd6VSEUKndONUKiV6Dqurq9ja2mpaYNSs0EZ+DVn07cOiP0fK5TKi0Sjevn2LXC6Hnp4e+Hw+YR550eJuRwCdnguVDytFL4/2JHp6FAoFIfrt7W2sr69ja2sL0WgUmUxG9B7S6TSSyWTL1Yat/DZuFN6FRX+OFItFLCws4Ntvv8XBwQFGR0dx7949ke9NBSDK7jBwMz3dqPdAvYZcLodUKiWKi9LptKggjMfj2NjYwPLyMl6/fo14PN7Rd8qNO+SVfczvNBI9r9N3QLVaRSQSwS+//ILl5WUEg0HEYjGMj48L11jyhyPHWLKRImupq6JVYXRSBGMwGCBJEpxOJwYGBsTr1Gsgb4HV1VUEAgH4fD6EQiEkk0nRm5AnEtG8Q6VSQaFQqJvAJJFzQk77sOg7oFwuI5vNIhaLYW1tDfv7+wiHw2KtXG4TbbPZ4Ha74ff7MTExgenpaQwODsJisQC4fJPHVsbP5w2tMNjtdtjtdjidTgwPD+P9999HMplELpcTXf9cLodSqSSGDvl8HolEAru7u9je3kYkEsHJyUnD7yLXIvncBVMPi74DaAKMyl3T6TRevXpV9x6q8nI4HPB6vRgaGsKdO3cQjUZx+/ZtBINBeL1eWK3WrnB5uYiGR20oQ1ZXgUBARGu6luRKlM/nUa1WUSqVkMlkEIvFsL6+jtXVVezs7IjS42w2i0KhICYT6W+mOSz6M9Csa0mz31QPH41Gsbm5iV9++QWzs7P47LPP8OGHH2JwcFDVHvq6jfmbRVXlEqcyzddsNsNms8Hj8dQlEFFC0snJCYLBIGZnZ5FMJpHJZIQxCRmRvHnzBi9fvmzZg1DLsOg7gGya5Tcu5cqrRZpMJoNMJoODgwOsrKzgzZs3KBQKMBgMyGazwiZakqRrJ3bivM5baSxaq9Xgcrng9/tx9+7dd7IJY7EYQqEQnj9/Dp1Oh4WFBVFSS74D3M2vh0XfIvJoJTd7JOQNwWkzyQcHB3j69CkymQzef/99/OEPf8DMzAwGBwfruvqXle13magl3Sj99uSQ03CjPfRo9x1qGN5//33s7u7i6OgIJycnyOfzwj6bswJ/g0XfAWR3bTKZxHPyzLRW2NzcRDQaxf7+PpLJJAqFAgqFgjB47KTS7TqgFPZZGzWj0YiBgQH09PTg7t27iMfjWF9fFxOsqVQK5XJZiF7rggdY9G1BUUlumil/7TTImZUq3jKZDH799VeUy2Xs7+/jzp07mJ+fx+zsLAYHByFJ0jvHv2mRX8lp11HpQETOxWazWSwVer1e+P1+xONx5HI5YS1GjajWhc+i7wCdTgebzQafzwefz4dIJALg9JtJbbx/fHyMxcVFrKyswO/345NPPhFdUq/XC4vFoqldYU/7ja1cA1oVGR8fr1u608L1awUWfRvIx55erxczMzPY2dlBsVgUphb0+mkNgHzsL5/pp6Wqra0tDA0NYXR0FLdu3apLdiHUfPe0iPI6UORn1GHRd0h/fz/u37+PaDSKcDjctugbjf1DoRCOjo7w448/YmxsDB988AE+//xz2Gw2OByOpg4s8u/XElr7vWeFRd8iyhvL7XZjamoK29vb+OGHH858bIPBILLQ4vE44vE49vb2kEqlUCwWEY/HMT4+LsasVqu15Zv9qsewVyHKq/7N3UCj686i7xCr1Sr2au/r66t7Tc27rBlUpqp8byqVwosXL7Czs4OffvoJjx49wscff6w60dfs2FcpgNP2r7vI72XUYdGfAZvNhkAggPn5eezt7SEUCiGVSnUkMrVZ6Wq1Kmrc3759i0QigWw2i0gkgpGREfT19cHlcsHpdAq7LOWE32Xn9jPdj+Hvf/97s9ebvqh1KHGEhFetVpFIJOo2oQQgtmhu57hqZDIZRKNRLC8vC3PMaDRat6kD1cDT914H5DbWp/VMuAFri/+h9uT1uCu6FJ1Oh/7+fjidTrjdbphMJlSrVbx+/RqHh4dCjO0WgTS66VOpFFZWVsR/e71ezM3N4f79+5ienobP54MkSTCbzbBarbDb7TCbzZAkqS6/Xz70UPrGyycKlQ/5Z+XnqRSqvNbdZDJBkiSx9KjMZJQfkwV9ObCJxhmQj92Pj4+xvLyMhYUFrK6uYm1tDS9fvsTu7q54P03YtWP6IJ/kU3u/x+MR22k7nU6RIky1/PQ39UqUzjdyCy35OcmFKLfKkqcJy+vdlVARjc/nQzAYFMMRp9Mpzov2r++Em5iifAGwc85FQRNxZDK5s7ODFy9e4MmTJ3j27FnH7jDniV6vF6KnhodWC1pJHabGgxoQKokl0SsbDEmS4PF4MDo6irm5OczMzGB4eBgejwdWq1WYi9B+fsoegNy8k86PMiHJq8BsNt/IVOVzhJ1zLhIa2zscDrHjjMPhgM/nw8LCAtbW1nB0dPTO59Ru2ma9AIr8QHvDBrLP7hTywWsFSjgKh8PCD29jYwO9vb2w2+1iwtFkMokuPxUsyY8hd8Ypl8uQJAljY2OYm5vD+Pg43G43J+F0AIv+HFDWijscDkxOTsLv92N2dhZTU1P48ssv8dNPP71jBtnukhpF2OtCKpXC2toaQqGQEDUNF+hv5byBHOpV5HI5WK1WPHr0CIVCATabDRaLBSaTibv5bcKivwAogvX09KC3t1eYNwYCAUQiEUSjUWxvbyORSLSUrttsN1Yao7c6GXaWzL12bL0pStPw4Sy9DKJYLOL58+cIBoMYGhqC1+uF0+ms+05uAE6HRX8ByG88SZIwMTEBq9WKhw8fIjd9kfsAAAMoSURBVB6PY3l5GU+ePMFPP/3UktOL2uaQ9D3y11od38rHyO3SzveR2eV5JgdVKhVEo1FEIhFks9lzO66WYNFfIHSzk8nD5OQkUqkUAoEAJElCX18fwuGw8HYjNxgaB6fT6aaTbEoxtesMe1Yn2ctyorVarcJrcHR0FJOTk2I8z5G9fXj2/pKpVqtIJpPY399HJBIRbrDFYhGZTAaHh4fY2trC0tISXrx4oXmLZ6PRKCbv7t27h4mJCQwODmJ4eBhDQ0NwuVxXfYrdDC/ZdRs01iXXHMq4C4VCWFxcxM8//4zd3V2USiWR1UeTePLEmHZQe3+zsfpZIqkyHVjtdXqe5i6o5Bj4zVHY6/VicnIS7733Hh48eICRkRGRcnydPQUvCRZ9t0O7yB4dHSESieDg4ADJZLJurzj5UKBZ2mqjfeDU5gcaZdTRLHsnDYDaMeSTjnKRU9IPJetQ/YDRaITVaoXH40EgEIDf74fL5eoKy/BrAou+m2jm5qLcZJK2p5bvPEtZcM02dVDrDShTb5Xpt8DvUVcp1NNQ87+jvALlMdUEL08AUm4JdlM9Ay8YFn23cJZls3ajvNpzajnzjSK9UvCdRntlWm+ztXnm3GDRM4zG4DTcbqZZdNZKRGw0OdlpT4NRhyM9w9xcONLfBG6a9xtH7suHRX/NYJEwZ4XXQBhGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmOw6BlGY7DoGUZjsOgZRmMYT3lddylnwTDMpcGRnmE0BoueYTQGi55hNAaLnmE0BoueYTQGi55hNMb/B7wK3w78nuRXAAAAAElFTkSuQmCC\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_deps, dg = 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": 14,
   "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(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(49,50)\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()"
   ]
  }
 ],
 "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
}