{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Metalens Optimization with Near2Far\n",
    "\n",
    "The adjoint solver in meep now supports the adjoint simulation for near-to-far fields transformation. We present a simple optimization to illustrate this feature."
   ]
  },
  {
   "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 numpy as np\n",
    "from autograd import numpy as npa\n",
    "from autograd import tensor_jacobian_product, grad\n",
    "import nlopt\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.patches import Circle\n",
    "from scipy import special, signal\n",
    "\n",
    "mp.verbosity(0)\n",
    "Si = mp.Medium(index=3.4)\n",
    "Air = mp.Medium(index=1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Basic setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "design_region_width = 15\n",
    "design_region_height = 2\n",
    "\n",
    "pml_size = 1.0\n",
    "\n",
    "resolution = 30\n",
    "\n",
    "Sx = 2 * pml_size + design_region_width\n",
    "Sy = 2 * pml_size + design_region_height + 5\n",
    "cell_size = mp.Vector3(Sx, Sy)\n",
    "\n",
    "nf = 3\n",
    "frequencies = np.array([1 / 1.5, 1 / 1.55, 1 / 1.6])\n",
    "\n",
    "minimum_length = 0.09  # minimum length scale (microns)\n",
    "eta_i = (\n",
    "    0.5  # blueprint (or intermediate) design field thresholding point (between 0 and 1)\n",
    ")\n",
    "eta_e = 0.55  # erosion design field thresholding point (between 0 and 1)\n",
    "eta_d = 1 - eta_e  # dilation design field thresholding point (between 0 and 1)\n",
    "filter_radius = mpa.get_conic_radius_from_eta_e(minimum_length, eta_e)\n",
    "design_region_resolution = int(resolution)\n",
    "\n",
    "pml_layers = [mp.PML(pml_size)]\n",
    "\n",
    "fcen = 1 / 1.55\n",
    "width = 0.2\n",
    "fwidth = width * fcen\n",
    "source_center = [0, -(design_region_height / 2 + 1.5), 0]\n",
    "source_size = mp.Vector3(design_region_width, 0, 0)\n",
    "src = mp.GaussianSource(frequency=fcen, fwidth=fwidth)\n",
    "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n",
    "\n",
    "Nx = int(design_region_resolution * design_region_width) + 1\n",
    "Ny = int(design_region_resolution * design_region_height) + 1\n",
    "\n",
    "design_variables = mp.MaterialGrid(mp.Vector3(Nx, Ny), Air, Si, grid_type=\"U_MEAN\")\n",
    "design_region = mpa.DesignRegion(\n",
    "    design_variables,\n",
    "    volume=mp.Volume(\n",
    "        center=mp.Vector3(),\n",
    "        size=mp.Vector3(design_region_width, design_region_height, 0),\n",
    "    ),\n",
    ")\n",
    "\n",
    "\n",
    "def mapping(x, eta, beta):\n",
    "\n",
    "    # filter\n",
    "    filtered_field = mpa.conic_filter(\n",
    "        x,\n",
    "        filter_radius,\n",
    "        design_region_width,\n",
    "        design_region_height,\n",
    "        design_region_resolution,\n",
    "    )\n",
    "\n",
    "    # projection\n",
    "    projected_field = mpa.tanh_projection(filtered_field, beta, eta)\n",
    "\n",
    "    projected_field = (\n",
    "        npa.flipud(projected_field) + projected_field\n",
    "    ) / 2  # left-right symmetry\n",
    "\n",
    "    # interpolate to actual materials\n",
    "    return projected_field.flatten()\n",
    "\n",
    "\n",
    "geometry = [\n",
    "    mp.Block(\n",
    "        center=design_region.center, size=design_region.size, material=design_variables\n",
    "    ),\n",
    "    # mp.Block(center=design_region.center, size=design_region.size, material=design_variables, e1=mp.Vector3(x=-1))\n",
    "    #\n",
    "    # The commented lines above impose symmetry by overlapping design region with the same design variable. However,\n",
    "    # currently there is an issue of doing that; instead, we use an alternative approach to impose symmetry.\n",
    "    # See https://github.com/NanoComp/meep/issues/1984 and https://github.com/NanoComp/meep/issues/2093\n",
    "]\n",
    "kpoint = mp.Vector3()\n",
    "sim = mp.Simulation(\n",
    "    cell_size=cell_size,\n",
    "    boundary_layers=pml_layers,\n",
    "    geometry=geometry,\n",
    "    sources=source,\n",
    "    default_material=Air,\n",
    "    symmetries=[mp.Mirror(direction=mp.X)],\n",
    "    resolution=resolution,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To use the `mpa.Near2FarFields` objective, we need to specify the far point(s) of interest; and provide near2far field monitor(s) `mp.Near2FarRegion`, from which the field at far point will be calculated. The monitor(s) has to capture all outgoing fields.\n",
    "\n",
    "When evaluated, `mpa.Near2FarFields` will return a numpy array with shape (num_of_points, nfreq, 6), where the third axis corresponds to the field components $E_x, E_y, E_z, H_x, H_y, H_z$, in that order. In general, we specify the `mpa.Near2FarFields` objectives functions of the field components at frequencies of interest at points of interest. In this case, we would like to optimize $|E_z|^2$, and focus the fields of different frequency at the same point (0,15,0).\n",
    "\n",
    "In this example, we try to focus the light at three different frequencies. Our objective is simply the mean of the fields at those frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "far_x = [mp.Vector3(0, 15, 0)]\n",
    "NearRegions = [\n",
    "    mp.Near2FarRegion(\n",
    "        center=mp.Vector3(0, design_region_height / 2 + 1.5),\n",
    "        size=mp.Vector3(design_region_width, 0),\n",
    "        weight=+1,\n",
    "    )\n",
    "]\n",
    "FarFields = mpa.Near2FarFields(sim, NearRegions, far_x)\n",
    "ob_list = [FarFields]\n",
    "\n",
    "\n",
    "def J1(FF):\n",
    "    return npa.mean(npa.abs(FF[0, :, 2]) ** 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SeyStVSmAoAeld5BzWzz48eNP2x+yAJYOLcVVAJIul3Rz798TC0DSTkmrkla1MXwB5Lh48OPHn7Y/VAH0nzOdewFIul/SYyNul0t6UNJGL1EA65wz2AHkuHjw48eftj9EAQy+YCaaHYCkd0l6pRf8a5KOSnpO0ulTfzdgASwdWvrJDmAW5Lw48ePHP1t/0wIYfrVkNAVw3AAt7AB+si0K/ERLn7YXD378+NP2N8mmUS+VpwBGHJxZFEAMiwc/fvxp++tm07j3SUVbAFVuTQvguG1R4AKIZfHgx48/bX+dbJr0JtnOF8DIbVHAAohp8eDHjz9tf9VsmvYJCZ0ugLHbokAFENviwY8ff9r+KtlU5uNxOlsAE7dFAQogxsWDHz/+tP1ls6nsZ6N1sgCmbosaFkCsiwc/fvxp+8tkU5UPxhxXAGldE9jsVRWfHTSNBUnfm/E4dYl5Ninu+ZitPjHPF/NsUtzzlZ3tZ939bcN3JlUAZTGzVR91AeQIiHk2Ke75mK0+Mc8X82xS3PM1ne2EkMMAAEA6UAAAAB0l1wK4te0BJhDzbFLc8zFbfWKeL+bZpLjnazRbls8BAADAdHLdAQAAwBSyLQAzO9fMHjCzR8xs1czOa3umQczsKjN7ysweN7N9bc8zjJldZ2ZuZgttzzKImd3UO27fNLMvm9lpEcx0iZl928yeMbPr256nj5mdaWbLZvZEb51d3fZMw5jZiWb2sJl9te1ZhjGz08zsrt56e9LMPtj2TH3M7Nref9PHzOxvzewNdTzZFoCkfZL2uvu5kj7f+zoKzOxDKi6M8x53f6ekP2t5pHWY2ZmSPqziOg2xcVDSOe7+bklPS9rd5jBmdqKkv5D0EUlnS/ptMzu7zZkGOCrpOnc/W9IHJO2KaLY+V0t6su0hxnCzpG+4+y+quHxtFHOa2RmS/kDSNnc/R9KJkj5Wx5VzAbikN/f+vVHSSy3OMsynJd3o7v8nSe7+SsvzDLMk6bMqjmFUuPt97n609+UDkra0OY+k8yQ94+7Puvvrkv5ORbm3jru/7O4P9f79QxUBdka7Ux3DzLZI+g1Jt7U9yzBmtlHSr0m6XZLc/XV3/36rQ61ng6SfNrMNkk5RzXzLuQCukXSTmT2v4hF2q48Uh3iHpF81swfN7F/M7P1tD9THzC6X9KK7P9r2LCX4pKSvtzzDGZKeH/j6BUUUsn3MbKuk96q4HGss/LmKBxo/bnmOUZwl6VVJf9U7RXWbmb2x7aEkyd1fVJFpz0l6WdL/uPt9dVwbQg42b8zsfkmnj/jWHkkXSbrW3e82s99S0eQXRzLbBklvVbEtf7+kvzezt/ucXpI1ZbbPqTj90xqT5nP3r/R+Zo+KUxz75zlbipjZqZLulnSNu/+g7Xkkycwuk/SKux82s+0tjzOKDZLeJ+kqd3/QzG6WdL2kP253LMnM3qJil3mWpO9LOmBmH3f3O6u6ki4Adx8b6Gb21yrOL0rSAc15mzlltk9LuqcX+P9hZj9W8Zker7Y5m5m9S8WietTMpOL0ykNmdp67f3ces02ar4+ZfULSZZIumldpTuBFSWcOfL2ld18UmNlJKsJ/v7vf0/Y8A5wv6aNmdqmkN0h6s5nd6e4fb3muPi9IesHd+zumu1QUQAxcLOmIu78qSWZ2j6RfkVS5AHI+BfSSpAt6/75Q0n+1OMsw/yDpQ5JkZu+QdLIi+LApd/+Wu/+Mu291960q/id43zzDfxpmdomK0wYfdffX2p5H0n9K+nkzO8vMTlbxZNw/tjyTJMmKFr9d0pPu/oW25xnE3Xe7+5beOvuYpH+OKPzVW/PPm9kv9O66SNITLY40yHOSPmBmp/T+G1+kmk9QJ70DmMKVkm7uPUnyv5J2tjzPIHdIusPMHpP0uqTfieCRbCrcIumnJB3s7VIecPffa2sYdz9qZr8v6V4Vr8a4w90fb2ueIc6XdIWkb5nZI737PufuX2tvpKS4StL+XrE/K+l3W55HktQ7JXWXpIdUnAZ9WDXfEcw7gQEAOkrOp4AAAGACFAAAQEehAAAAOgoFAADQUSgAAICOQgEA1KT3aZtHzOytva/f0vt6a8ujAZSCAgCoibs/L+lLkm7s3XWjpFvdfa21oQAqwPsAABrQ+6iFwyre3HelpHPd/UftTgVQjpzfCQwwc9z9R2b2R5K+IenDhD+kBKeAAJrzERUfy3tO24MAVIECAGiAmZ0r6ddVfLT3tWa2qd2JAMpDAQDUpPdJjF9S8Tn7z0m6SZFd3hNgEhQAQH2ulPScux/sff1FSb9kZhdM+B2AaOBVQAAAHYUdAABAR6EAAAA6CgUAANBRKAAAgI5CAQAAdBQKAACgo1AAAAAdhQIAAOgo/w/53jLIKOxhmQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "opt = mpa.OptimizationProblem(\n",
    "    simulation=sim,\n",
    "    objective_functions=[J1],\n",
    "    objective_arguments=ob_list,\n",
    "    design_regions=[design_region],\n",
    "    frequencies=frequencies,\n",
    "    maximum_run_time=2000,\n",
    ")\n",
    "opt.plot2D(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluation_history = []\n",
    "cur_iter = [0]\n",
    "\n",
    "\n",
    "def f(v, gradient, cur_beta):\n",
    "    print(\"Current iteration: {}\".format(cur_iter[0] + 1))\n",
    "\n",
    "    f0, dJ_du = opt([mapping(v, eta_i, cur_beta)])  # compute objective and gradient\n",
    "\n",
    "    if gradient.size > 0:\n",
    "        gradient[:] = tensor_jacobian_product(mapping, 0)(\n",
    "            v, eta_i, cur_beta, np.sum(dJ_du, axis=1)\n",
    "        )  # backprop\n",
    "\n",
    "    evaluation_history.append(np.real(f0))\n",
    "\n",
    "    plt.figure()\n",
    "    ax = plt.gca()\n",
    "    opt.plot2D(\n",
    "        False,\n",
    "        ax=ax,\n",
    "        plot_sources_flag=False,\n",
    "        plot_monitors_flag=False,\n",
    "        plot_boundaries_flag=False,\n",
    "    )\n",
    "    circ = Circle((2, 2), minimum_length / 2)\n",
    "    ax.add_patch(circ)\n",
    "    ax.axis(\"off\")\n",
    "    plt.show()\n",
    "\n",
    "    cur_iter[0] = cur_iter[0] + 1\n",
    "\n",
    "    return np.real(f0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll now run our optimizer in loop. The loop will increase beta and reset the optimizer, which is important since the cost function changes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "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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x9e/a1iyD9p2KpHq+Gu5rO8Z9zFFg1COiqBMNy6tEmPePniXvrX0W68Q2V29VhUU9PLULlktXxnXxt9VqnSz+8ZzoGVMM1MZz/87ZTs6mrrVBHSf8f66vc3aqdqTjipOa7lDS+8bxejwen7Vt7GNNMeg2zWhLtB/2Nyf8Xq+X7qP1/JgUffeCGrR6Bkxk8/8qItx5ELeTAc9DdvVO1CjYObpnU704NQgaOb0z4GmwAE+dFg1JB27V02wUjDhYcsYbvZ8cMVfLnBbbSUWX+6R1NZ5beFh+7j+NA1Fz6hQgLl5wMXSxWGC1WqU6qkDHNmD9KUCMeHisipN6ReoBK9EedOGMn+mCmIbwOtA1UqBgap/F3DZDU7XVKg+WOzh0Ly1TFp1OJ9mNtpFOUHHCuIROjjlh1HaLAqgeK4C0wEm7Zlm4h137SscP8JSaYaSge/V5HK+RG6+8b67ubCtNXfGaKtbH4zE9HEOt0d0x79OuH4Ji+3Q5aI7Hp4cOdM9kblDoYg/DVzXsXENFIeJxarRxtqSBqUfIjfW6AEKj06d/uIqtM2zMuUVjukZwc4Mjtmsc4Pr3KCYUydlslkRX99vy4QR6C/G62naHwwHr9TrtPHl4eEh7cx8fH1OaoGoPNfuJ/cvdERS46LnqwI7tGcNHPZ7Cwz5V+9KFxjjJcZLiBMYysR6cKLrd7snWvCj+tB21Y9aT3m6v10upCtZJF4HO9W9VuuCSXZ27Lq+hC81ab40AWT/15jkpadTFCaVqXJwbrzwuJ7jAUyqKe7FZLpafttxoNNL2U+5A6Xa7J5Ng1b0+NMU8Xc5I9JI0tNKBoJ6GPhmTG7jAcyPjv6PHph4L0QU1HsPtaRrOHo/vwh19/FV3LeRWjd+n46LHHsPj3OpqDCtj+B69fwoPJzCmbHiMou2nXpBeh+2kTwjGfJ/WRXNq/FwnK9ZBw1oOdG3PuNoc0wbnUgb6GdtI00IxpcEfzStzcj4e36XIYipGBaOqXTUPrlvYaGfqYeYecqhaRNM2jGkU/X0t8Xi2I/OyXOikk6LRFYCTJ0fZ33HRSm0rN171mOg0VbUr/6apJc27M7W2Xq9TlJEbYx+LoumFXB4nGjp/5wQhZ0j6GYleYk7MNMWgg2iz2WC5XJ7MgLXa06KPioLO+CTmlCJVYVJugMScda4944yueUZtx1w5dNFJV5rV6+fvc2E48BTO6nVZNg7Sdrt9Mvnpk0L09pgCYv4ZQPoN4FmKIQonc/Ka9tF9wDyH/Rvrr96yepPa19ET1/bUH37O+/P9EloHvYamL2I70t7UA831aYzqqiZ0JWdbrKtGGETtv1Z7WijVB1N0PGkoH8ddLE90GLRusZ65+vCcGMnosXq8OgqlKCa6NHAAKbnOl4JEAYv7PtWI4z5O9QRzjR+9KF34osDQANQD0XNV2HQAkChKWmZeJ/7EtskZ0rlJhjO5huS58+IA1EmDIqN7lNkfrJd6fOwb3k+foqI3GD0+9Y54DNubgsuHUmgffCBGvWbtzyqxi4uiuiq93+9T3fhIMu1Jn8fngpbWgfXS/GRML8V21r6PUQZFp6pvcvaibXkuv5uzsfe1P+3r+Lh5LmpQe9EUkEZUPJ7jjrtfdMeLPpSSc7a0P0jcQkf7iJqgDgbtg5MtPy9Fsd0LDM/pJXFgzefzk21IcWWTjc/8alUon3uiJDfDaWpAGz+3+Z8dqt5QLjel94qe/Idqw+i9K+p90ZPSNowLU4R1y+3AyN2X96Lh821eKo4UZeaG2VZsc55fr9fT1h2KLj1ipp1ie7L/qtAwVCeTRqORPFudINnHcYFMc7EqIpy0o+3kbFL/xgUm/sS+5H3oAeeEm/am9Y/5x5wI/zPEMaj30bHBiUh3r2i6IAqe5oG1zrxnVV1iCojX1nbRCIVlp8NWrz+9nUzfwxDb+mNTzNOlRwE8LZDFzfb6o2GKorNZ7KhoJDmjrNVqJ4/tcpO0Drp4Pw5KfYhCt1npZEAvssoTyeWjqow7J+QaPvE3Byzzg/qYJsM8fbMYc+vqMURPKN4v541RMLhIxQiB11WByKWWqhYd9Zr80cgnTnb8O4WVjyvHbWRV+VAVCl0ciuLPdtVoRtsrCkaVd8n24fY9rnFEb4/RiNY7Cs41wnuNjSnqoMTcKO95PB6zE7Y6P5dEl/2V649clKPtUNUmMUrWcjGy0UiFb0r7j/J0CcWOncWZUgVXB1jOi8x5fDpg4l7f3KwZF2viI78c8Lw+RZXXUaGIK+bxGBUSnYFzolHlUcSFLCXWXdtQvQ6+XIgrt/FZ81gv4Hk+j+VWUaKYq9irYLAdgafXXeoOgVh2lpXviOBCjD6jnxO6uNrP+nBSZC45PhjBujHUZdnphekWRuDdyjwnLn5WFfLyd25iYb21rvrmMh6r+XKOGbWhuKBYRUwRXbI/Cq4KL//Ovow7GdQW1XmKk5Sm8+KiWiwPoybeK5dGjOdGu+CkEZ05daSqHKSPRdGFtCiYOhBiSAxc9hjYMdrA0UOL99ZV+ShWfD0dF300HFYhA06fcMl5GjFkiquxUZC1vHpuzttXYtvE++qilO5c4KwfUydx21UUe6YV6J3FrVhaRxW2OGHEcnIS0FdKxpfIVE1YGsryGtyGFsPx3HVYvrglTe2EnjQnms1mk80HRq8QeNqrqrtdot3xPbBxgamqb8/Zw7m2UnSsxHQARVGP039HsdW6cALm79wupThhxvJFAdW+0R0v57RB76ETfrSX0hR/4Q0bMLf5nWjoxkFDb4T7JvW8axpTOzDunYwzdnwCjl6bztxazlzIymvlPPZ4DK8Vf2L4WJX+AN6JBiMJ/j33SKpOGioGOdGN3roOLoo32z2WJ9ZRByvDZn3nrKYD1C7iyrm2Va5N6RXxGqwH68XwNrdqnYs0YlogRhT03nILiLyn5j35Vqt4TQ2J1QvTCVEjxKo20bFTNRHH+saxxzbL9aN62uwrtQmKLv+tqa34Yvy45z7nYKjtalShC5Fsf30wI0Yfep34U9LLBT7RW8b0h5/pbxL3WjJc5QqwzoLquZ7zaFgOGgOJA0YHQvSmc+Tuk/tbPDYams7guTrEa/L/+hiptqemTrRdeU4cxDnh4d+j4cY8q3ogbDctr2576nQ6GAwG6T0G7F/tW71vTsy0zHELF8uuwhUXvTSHqu0WbUi9z6o20HaoaktNaUWPTet4bkLUc/Q+UVzj79ifem5Vn1fZr56Xc6a0ffSxc6a49J3LVffmPXSftvYV/6ZPU6rd5HLL/K36Q4Eu6fl+8q9gj4M5hqGavK/VaumRUV1I0gZUcrM/z9GnjehBcx8uO1H3ruoEoNePv3MztXoPcWDo57Va7dlElKuPnnvJWHRQxGPZZvRM6CFSjGI0EnPGcdBoJMH/0/NkmSkmfBJrMBikFWR+rv0URVfz8NpWKpSay+MWsk6nk/6mE74uKqpY6Pt5c+2peUvg6ek77SPNcepDENEDi+J1iSqvMJaTv+PKvNqb2gKPzwm1/j0KPPuFOxh4Pea842JrbNs4PrX8AE6EV3Pe+oSo5sFVG3j/qjHwKSi6kKaLChrO60KKLr5wVudA5COjKq46YNSAldxG7Cgm9Dz4PDzFgGFwfGeu1isnhkoUVh4Xj4/endblnPdRlbfNPfoaF66YXuGCCQ1Y+0W3NOkCk7afhotq/GxTXdii96kvGAKQwkP2T26PqHqsOqhoCwCepYEo1Gwv3RURc32cUCjG2md6LIVURZyLPfw324ELZvoUpopcTFvoDgHt/7jwlAuLc7bzPnYXueQ5a7qIkyc9c7a17lDSiZzX00gp56Gyb9Up4b0pvEyt8QENtiePizahE3hVW34sij8ccTweT/a6Rk83ChQ9o9xMF0MbNTbtzBj+5mZ4AGlQ8xtvKbrxaSWtUy6nm/Nacoad81YvhXoajkZPKn4lju6FjOXh/7m9ihMa6wTgRGh1UlRBzOXpdUBrn3GQxB8OmGgTrKP2D/f20ivnZKx9qefrfVmWuM0pRk1xEqHdxDbnZMdzdQ+uet3q4cUX9Uf7p9iz/9rtdrJnfRhB7Tgnrjl70j6J4pyzu5xd5+5B0WM/s625Fz+mr7QcrJfmiuNxtEWNbjTy0a+Qirl62qbav7bjue2dH4vinq4OhKoFKOD0XQIquvExUOC5hxivE39iI0fD03wa3wOqYW80GhWqaNj6t/jva9uL/9frRk9GFwb1SSCdyNTQOMPrAx/6eRStuDBBNMKoytHpYpMuEOnjt7o4onahoST3VfLpNYpi3Can982lJHhv7kA4HA4nT6JFu8jVMefx6Q8HM9MrastsxzjwNUWmfUdhiXWLaYZol1XkBDdnZzGKi+2jbUHR0wlbo4toGzpudLJlakvLyuNz9eRY5f3Z3rmFQL33OT342HySnG5V49N7UWPUr3AGThfXctfT6+r1dW9glbcYV1Pjc+/AkzeU86h5P52140RAb6AKbY/YTvyt11ShinXSQRF3DcQFLT6dowsSUQRZBvZRHPwsny6YxceumVbQHwqfrtLr01vsC70G78HtYSrCOU9a836aY4w5QM3r0h5jv6iw6kJX/M12jE8x8rq5l8ard69CFSfFuLhXNa4uOSgx1xnFNqYz1Ab0PJaP9dW6aFpBJ261H/V2q4j1i4uOvB/XJ5iK1Pat8qSvdYY+BEV3L2gOUDdPA6cejXpEVTPRtY2m5+VSADH3qWXSQZab9fW62pnnjJ3nVglv7lwVNP5m/aOw5Vb2dUBRKDhwKXz6BjXgdFDp4IyRRhQGHTg6cNUr0Xc9MJLglkDdURHbPTcgc30TPVz9Ad5tG9MtTZpLjRNIjGJ0ItOBrxGE/h94WlOgqFP41SPO2QnP1XbJRQO0BxXgXJvF8RLXQeJYqbK7aJtxQlJhjg+a5Pbjx+vl7nVJFLXv2V7q/LAvov7s9/tnDs7HpuirHTebDY7HY3qvpeYfNVejMzgbCUDqPM3RaBimxpMzIhUQJtf1urx2HLBxMEXPMme0OXKhkop1JDdhRGOsMnhOcnFSUdHQ+uikyH/r+cwb6//pKeqxvLd6lLwP+1iFKpZZ+0jbjYLP++r/NUJRe8uFzueil2hfvG5cBdeFOF380/LqYhrLoCIb7ZvtpP1alRbL2XXO5mOZcl5elfjlztfjdGLTdBXwFAnxvLigq/1Vde+c964RXNxlos5QnHhYpv1+f/Iubzoa8T4fm6Kerq6Yc99e/BZgXaVko7JBdFO1rjjz+iqoOePLzfpxhV4FKYpu3KR+zou41BYsTzT+c8Z46Xg1Si7cMM8bF9l4PQ52LgQBp48Ax50L+i5SfRN/fC9BzsPWNo7iGr0i7V8KntZRd2NwkuA1+W+9ni7E6P21fvokXKwP8M7r3G63aLfb6S1oakPRy1Vh18lPHQm2j4owQ2W2WSxzTF+pPVTZWu7v19hp7EuWVz1KzVOzr1j3OCnnJkiel7u/RoXaZ1F4ifZbnDC52KyPmHMHyn+s6LKh9AmW+GRTDL1zgyPmh9hgmgur8iCjUKoXFfOgMTxV0a1aCMzN0PHzXNlyglvluUTRiE8ExZfbxFA6Cl2t9vSWNo0gVNx0m5SuwquQckBp3XQ7T7QFDe9ijjC2J0WGeV3urWb+MCcO2lbc6cD7xoUdtQMNhXlvlpHnc7/4arVKi0aay1b70MUl9aQBpPqr162fcwFRPUVd6Kyyj6r2yB1b9feqiDFGghRd9oN6ntrXubFRlQLRCZlRgwpp3FmjKQS9loqu7pfW9jzXDh+DorsXqvJMOkvSYHXRhAZ5zVMs54iDIKKeIoBnhqULHxomVuW/coKcy4vxs5xHkWszPUdne32On0KrE1Vsg7hyrm0QPdIqo4yCF+tIodQHTeKkGo/Tb2OmWDabzZR/HgwGaZvb4XBAt9tN+42Px+PJdXRRS+/HtuBjuXEfdhSIKD7RhuJESKGIC1EsI9s8est6/3q9fhKx6ASnbc9/n5u0crZTVbdr7Fp3Y+hEDjw98ai2pOi16GTFY3LkxlMcqzp57ff7kz6t2kFxrX58KIp/MSWNSUN23WcH4OSJJT5JRCGpgkKinV91nP6O+/SikVYtZPB+VR0X76NcmlWj0cfyqbjFRR6NCNRr0nCQgyZ+3VD0cvWaHPQc3O12Oy0+aX6Px3DnCbd58Suv9cX1OoDr9XoSVObcGDbWarV0HT46TNHVlAfLzHsNh8OTh1xU6Fg+jbB0goqTr9ZTJ2J9cCbuRMh5u7E9aQsaiqvHqOkFHhevnbONSwJcNZFGcc3ZdSwDx4iKoN5Dr6U7Qqo89UhVulA/Z19wgubxtCE6cfGR6qqI9WPySd4yFkMUCi8/63a7GA6H6Stc4iKNGkwu9NH7xXBFjSAuBsQ8bTzukgeg9815IfrZJc9R7x0HFuuRW2jhMTEFEweIGqB6AjFfyvCt0Xh6VaMukOn5HFQq6tyhEL8lJNdvfDCFL5jm964x3xy3/mgbadpHr9Hr9VI9VRD0PG5j03wutx1F0YjpJv1qIP1M2zsuvGo6SKMQ9gHzz3G8VP1E0c0tIlYJcPT81Aar7DqOjVi+3DFxMVXLqJOKlpltFm1Fj2OZuP1RJz8eTychCm5si1J8koW0qkfyGHpyGxENVlc9Y86LVAmZCgkHEcvD8+IkELcuRQPTe+ZgWapCl3OCG8uU8ziqPGH+sM6aP4zGrw9+cICzfdnmccKKefWYq2N7x9yaXkM9PR2k2jcq3qw383HL5TKJ5X6/Tx6x5l/1fN6bZY4velevPvaB1kdTB7n1hVz51YY4Oen1NI+uE6kec01/RxvTiO+S6OZsMCe48Ziq82I0ULX1M4psjC4u3VN1QKMGHceMkmOqR+2BOfVLEfKHpNhXsHNF/fHx8dkr3mKF2RG6Ys6Xb6t3cC7XqDOh5mopKtFTOie6MX8XZ1v+W++tv3mfWN4qL6Mq7MqFj9FjUFHT5/wpBKx/XNzSe8SVfBWq+Ko+3dtMEaEIqcjxXcUcYFG46YlqH6vYA8ByuUStVjsZKHwJeEx/UKR5X04k+rg0PU61R7VJXSDkfdULZnvxb1yD0PdJ5NYPNIrQcUDRoKcW97RW/VSJYxS2a6Kr3Pk5G9Tz1CPNCW4M42PUpj+XyqoirQtjq9XqJEWZW/thn+qCc7fbPYkqrk15/DN8Mk9X9zqq1ws87enVhtWvc9bO+bnEGf2SyPG4aDg8LnfeubbI/U2NOA6onNjGrTj8UYHkgAaevjGYni5fRAM8vQCIBsltNSquugVLX1YdxYELIxRWHq95zZgz5oBZr9fP+piTMq+jk5hu74rnHA6H9PpOimZuEtHdHVpuXodOg9ZdxV13tuiXYhKmzjgRxd0mtGsew7rqvmTtXxUyLWPObi+NlXN2f+7vVZ72NfeqGm/XEvuY+sD2jRMWz9EFZ21TjSpKUHwhjb91U7U+xqmdoSLCf8e8XO73OTT85Kys3iw7RgUl1ylRBHOfnePaQRDD3ugdsLw6OKsGWxwk+juXb1NRVy9QPVGefyn1ElM1Wjf+Zn9orl89Rs2f6h5WrXN8/6ymT3KTqKZdcv0QoyGW93A4pId91Gmgx66TRUx3xGvnREsX9nR7k4bhFNtc5BWvl7O3c+OlSnTjfaJdsrzcsqiTiaaFaG/XpDCi3ehnuu6gb2jTc4/H48nE+CkX0YCC3wbcaDROvg2Yg5cGy32XPFYbT5Pi8docEFx8yIUV8RwOMvVOdAfFZrPBfD5P79dV7zPeO1fXXBnj8fSUqo6LXrUeT28yhneaH+UCESeM3EIVd4doTpdtEcVLvSq9d/y2Cg4kvddoNDr5xl8OPh6j36q73+/TbgPWg+9X4ALrYDBIortYLNDpdFK6oNPpYDQa4fb2FpPJJL0ch6kL3cPMSVz3+6rgaVtrdMB+ZDvom+n4juC4W0NzuqwP68fyaBpIH8DRFEWcBFQ4cmkHjomcvVXZXc5mz9m+TkLL5RLz+TxFShzb+q5dnnvtNrHY3lUiSbviLgbtx1arheFwiNvbW9zc3GAymWA0GqHf759MuiUEuJin22w2MZlMAODkXao0zoeHhxQKsnEPhwOWyyUApPBBjUUNC3h62XEkhlvA06Z9ig+FqNlsYrvdYjabnSTYdWZWY8+txld5FzowIlFsc54hcPrgB2d55hJ1FR4Aut1uEg0NfVlfCizbTyMLPqq9XC4xm81wf3+P6XR6IkwsN9tC96dS/G5ubnBzc4PxeJzyZ/Q0WF6KE9t4tVphNBqh1+vh/v4+7cEdDodpsNBjYtkWi0XaszuZTPDixQtMJpP0rRRMNcSnIFnm9XqN6XR6su2LYb8u9Kog6kQwHo9xc3OTBjInNAquPu2nKRx9zy4ngVrt3S4Jvl5U+/fS1/eo4F6TJ412F3Ov0a7Z/+r5c+JaLpd4eHjAdDrFbDZLnme/308a0Gw2sVwus7uRqiYFjr+4M4K/2Re9Xg/j8Rj9fj85G7RTtYu7uzvc3t4mR4BlK0VR0R2NRqjVaicey2g0wmg0wv39/Uln1GpPX6XNHJo+YaWLHcDzTf0KvTwOMpaHg2I0GmE8HqctasfjMQ1iPrHVbrcxGAzS9XSbmRqpeqP0CuNCgZILYzUczW0J0nvSy9AXmOvqN+vOrVscyPquYF0U0pB2s9lgsVjg4eEhvVqQYqFhPUVC79fv9zEej/HixQu8ePEC4/H45E1fFGb1ujXSGAwGaVFquVyi0WhgPB7j7u4O4/E4RUbD4RCdTgfT6RSHwwH9fj/dczKZJK+HOx2WyyUWi8WzR8+32+2J8LNuus+T7c002PF4RKvVwmg0wueff47PPvsMk8kEg8Hg5MEMdRY0r0ivm19howuf3MWj7UNHRa9dtTilUV9MNeVsMApuFDgV8xjx6KT15s0bzGaz5OWyLbidi44UPWMukOsj0rFsugAMPAkwj2XfdDodTCYTTCaTkwis2Wyi3+/j9vYWd3d3mEwmGA6HaRKjN16KoqI7GAxOFlnocfV6PQyHQ8zn82Tkx+O7RRU+ajmbzbBarZIo0ytg46px5Z6AofHr6/f6/T4mkwk+++wz3NzcpPQHBUwXpTTMrNoOQ1geGoYKbyxX/K1GnxtQrKf+XfN/9Pa5XSYu7ujAZXtET0mFl18Pzv5YLBbp0dfogfPlIa1WKwnky5cv8eLFC4xGo5SfBd4NHD7sQE+Xhs/Jlu0wn8/RaDQwmUxwd3d34unqt04cDgcMh8MkuqPRKC1iMW3BgcYFO7Lb7dKxnJzr9afv5Yu7WOj59no9TCYTvHz5Ep9//jlubm7Q7/eTVxz3ftMr1IhC32dBu+NEPxwOk4Oini/77ZyNRNHl5/qb5AQ35+nqVrSYetK9x7VaLU2ctVoNq9Uq2RHrzXGoEWQsV3Q+NNWge6w5ydOL5bdY0B6Hw2GKuvjADMtPJ6UUtXP5TwAfdElPRScm5WN4ET1GFa2qMl+oS2Ueq2qBh0SDjNe6xKVyVZXz2uvGNjznTed+X7q+Dt7c5BGPr2rb3P3071E4Yn2qhKDqmFyf5tonfpYLyc/lEc/ZRxVVIpjru1x93tdGruV97LnKPnLXq2rbqnpfWy4V4bgwpudcakOdUD8QlQ1ZVHSNMeYXQqXofvJvA76W952xr+Vaj8Gc8nM9k38nfgl1/BT80seyPV1jjPnwVM4AHzyRYYwxphqLrjHGFMSia4wxBbHoGmNMQSy6xhhTEIuuMcYUxKJrjDEFsegaY0xBLLrGGFMQi64xxhTEomuMMQWx6BpjTEEsusYYUxCLrjHGFMSia4wxBbHoGmNMQSy6xhhTEIuuMcYUxKJrjDEFsegaY0xBLLrGGFMQi64xxhTEomuMMQWx6BpjTEEsusYYUxCLrjHGFMSia4wxBbHoGmNMQSy6xhhTEIuuMcYUxKJrjDEFsegaY0xBLLrGGFMQi64xxhTEomuMMQWx6BpjTEEsusYYUxCLrjHGFMSia4wxBbHoGmNMQSy6xhhTEIuuMcYUxKJrjDEFsegaY0xBLLrGGFMQi64xxhTEomuMMQWx6BpjTEEsusYYUxCLrjHGFMSia4wxBbHoGmNMQSy6xhhTEIuuMcYUxKJrjDEFsegaY0xBLLrGGFMQi64xxhTEomuMMQWx6BpjTEEsusYYUxCLrjHGFMSia4wxBbHoGmNMQSy6xhhTkOaFz2tFSmGMMb8Q7OkaY0xBLLrGGFMQi64xxhTEomuMMQWx6BpjTEEsusYYU5D/AWGzxGW/QgiqAAAAAElFTkSuQmCC\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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rB8lb907Bo09FPtrckWPwSNsjN8qmFZ3TqXMjTKTumzE+RjkDyqF1nWTCjIcBAiNH6nmrTXfGgjtGOljqGmuoHLtHt61MTS9G+i2SpI4w0lXf+nANf14iXdpLVQ0nNfTye9z2da8cqgIolrS4CS7iVbus1beytG+Nrp9IE4m1zpY68ZKcqaAtweu+1jlT38SRUmmBPWqoqtEmHSPEqpcaHY+IqR1G6f5qRRZOcGqHUHusQ7lSXFISvacInQbo97ZKJCSAqTHqXm4sTY2DaMljqg8SFo97ySFOGUsrgud7l8ZHgnMSbF07VYJwGeun13KnxnGpTwUNzPKoi7pODlbv+9ioXw46Nl4jktPvp9PL+Vx9LNw/8eXt0ElqXd3J6R7fJHPSduej+TKza+n3drtt6vR7oSvpMgptERQjLQmEC8T0349o0eM54VaNP5WlxVIKxhrjfD5/9fwDGZQWm8880NwYtbdI14mLmEptNCZFS37P1MsjUUULPo8WSep3j4I9+tXvniZ6fZMRsEdWJEum+4KXKlw3ZFQ+X96ndr1O6fLyyI/wLIUEP7UhJ7l7jVZRfGs9dL2fAplaZx/jlHNg1sP183XiuPz69Xo9Git1wcsfKufwo8yah0pmfIaGH4X0sbkj4+ml7XbbPOaocfjaqw2Cxzd7oOuHI1qQIfnusoRIz7tarUYPAbm6unpVH3OvL5C4z+fzaBODikiC1H0kfp7hZarltejWiymhG/qUwdOLe5rFe1q1uKqX40CteibTSPXF0wbsmxmFR8ROQIz+FWWICH3sXht3I9R6qV+PanktHYjXRNUujbNFvByP5jCfz0dOhzpFsvWjfa2Izgmc/bZqlZRNa9293OAZHftiGYo677rjxM6IsbXGWhsPgriXQIfMZ0BwHtRB/c2youakdpSJyp7VNu1S/fLoGG3L17QHupGuk17VWAFJTFo4CVheUR9DvL6+rpubm5rPX44kMcrV07GY8vmDTzwyYxTqRqCxk3S1uEyJWmmsk6jLhNEDIwY6H68BTkXLHuXKqEl2upbGThmQXLVGjBrV1qUxtMbECJPvO+m0IrmWDLm2lF9rTHQ6XoZoEW/r/RacdD2ydRLWPXJC/J/34e9NOWQSrmcBrk+U2xTRsA8n66qXUghtWM9S4To6Afv92qyWbjBgIR9U1eiIJ22ZY2Y0zX45dpZwaN+tkt17ohvpijR5Ho4prHtq1k6l0HrugR4Fp/vUlo6IsUZDxecDPnSPdjm5YIwCnQw8GlO6qNclr3mJlNzgaSwyVK/TeeR7yZhaqfGl8agtXkNZqc3Wz6n5viWXKeLzksBUmUBtEX7t16xPi9woQ/bj5S9fy7dI/GuirdY9Lb1wB8n7mLlQz/We7IOk1nqRdBW0uOPksyJ83VSeI+nSITJD1fhWq9Xo5IrXnWez2fDkQPIIf3rAwXH6sx7eG92OjC0Wi+E5nl5X8ujNa1z8nDifvclorFVLdWOkUTBdUiTkkSyjFvfWnqZzo09tKqJhUZ+kqWsJGqFvIDoZeqlC86QsPZX0dZlaLxmpsgkqLsfZWj/d34qw2Y8bJP//LeCk4/34nH3+l3S0VWYQIZDgv3YuXCcvL+gnU3pdz41jEZZHmURLziRV7lc4OfH/U+tPOciW+DwEtckIk2NR5Hw+v5zV5Qah+nCSXCwWo4dI8SREa804Rj0ch/J+T3QtL/DhGlXtXUoJlA+yoXCYWnhZ4tIusxsT/9YCuEeX4ZAAPZqgYoqkNCYaOhWPG4aMWHQ9d5/Zn8+D4yfRSzbqW7VVl/NUOu4k2YpqSEpew2SEo3lp3nqfc6IhTkWZ+t1LOC0ydBL1jamq8ZFDOuSp8V+aM+XvaW8LrWiYtWTK34MFrRlP+ejhMqpvOrl41FdVo3KAInU/F+spuNuF5Enb07gpD4+oOTe3R665252fRNK49GgB9an6rrfluqP5k3R7oCvpcsF8k4nXeejPhzAzHfGTAUxx1BY9qBaulYZd8ui+Sdby7B7leIRCUmQKxfm35KOI3etS2oRgPZNp3xR5edTcAkmBDoLz0Nz0kwbLe9m/ZOQRHUlF106VLmiIlyI6l707JRKNX6PfSeDSt6nMiSRDomvtilPnNH8nNq5Fq25NwmWkqwhRaGU6HsW2SgitIMTl3arFap1pTyJBt0ceb6M9SkfoGDUH2TzXlwEPZafxSTd8o9tLVL3QlXQpcKZFepG4WGz3XXYtlD+TVgsmg5RQJXx9A0BVjRZDi+bkXvXa205taKk//z/PlBI0hFb0Jhn5BhBrx54iempK+EaK5HVprUjOHpk5+fjzCiQTzk/jdgfQSp1JWIwwp2qfmjvvcUJUCUn9klj8+iljbBlrS05fI1+Prt35aB4k6FYQwXPps9l4c5ckyfm0iLVFuB5hcz2po609GW4+c+y0R/5NHWdAQZvVpl3V+FOhPAkh+fA+6YXu14NyLq3Te6H7kTEqiz93U0JjNCYBMXrytIrPVtACy6PpHv0t5eVCaPF0DM3PAZN4mfZPpeciYEaFVFQ36BbpMgrgWBnxMKLxGqPAaMojnikC41h8U8LH2koZOY4pYiL5uYPzCMVJujVerWnrWhJXq0Y+5VB8TvP5+OgYX16TdefbGq/a92j20j2MMPlxW5Eu9VvtEz7PVjZwyelQL3jSoEW4fHCU38tgicc2KQ/avu7xTMDHW1Wj7FBy4npoY24qE3lvdP26nlaKzw0wT+s8epLg/PC1Fo2KQ0MkSfKcqe6pquF0BOvGXFwSINN+OgLNs+r17jGV18mkpdg0Lqb3rZLMW/Vfb9v74d+cj5Rd7cvIWYtuESfl60o9ZfSah+ZKAvXo0Ymec2mVjdSGy6BFKn4/5eMRnUfj1C3PYnycvhZT66R7tf6Cl+dcT1q6NUWgfK8VEGju/J9/krS1z+GkywicRE2nVVWvIm+W+fjwqZbjPJ9fPubNcap9bew5D11ai2+Nrp9I0y7+1ESZZvk3QlTVK9JjaUJtTimNR5lVr6PG1tP02a+iay4qo5qp0gP7Z9TNazxqniJpOirBUzy25xGZt+VkROORUsrJsX5Ix6jrWynoW9H1JYfjBOgk3bqP82+tgxMpQcKinnD9WTudzWaj1Jk6wbn6WrqO+PowRWbbvuZOXLzXnRPHIx2SnFq2SHuhPGW/CnpaX+YpO+YHidQWMxnO3cH1ZnbLeXntV/cdDi9fYOqbs26r/Jh+L3R74M3p9NN3lM1ms9ETv3zzQt5Rz8tV5EnF0AIw8vJnJNAAPfrjIqiMQNLlQmmcqgfTuJTOMbJT3/rpii4F9Vp01Zh4fdNnSnHYH9u4lBryWm/XnYFHNfxYJw3RDdwj3CnD0s/W+3QKMuSp6J2Rv9/H/hiJc1zUU8qnavwlkXTyel867HXXqXGz9uyy8aDA5+kRtMuSpRSuiUeVrHEy2HGylfN1vfdvnW49qJw2RQfBcpnPw52AxiOHoy/Z1J6P7uGGqHT26upq+KCUnw4hh/DZEHRc74Vuke7xeKyHh4fBE2mS/DTIcrkcPvygb9m9uroaFp7PSGB6MOWpPPoUPB326Np3iRnRMrVUUd6Ng2TmtVkZrh8C940wOiQ/3eAlC58P3/Po39NI/d6KiPVqpbI0MI3diYRj8b+nFJtjckPxkg/7cSfwluF4NuSZAImZpTBGui3ZtGTtazK1Fh7J8z5fe97njtadKXWWOidIx7ye7FmK2lLmoy+MZclJY/a6rDbKpzbeXD4OESkzMN98o+NjILZYLAbS9vd3u109PDyMnPZ7oxvpHg6Henx8rMViMdRiRWb0XCRbFdGrXozA62lvpQVarJbR6ytA5JVZQybpVtUrpZLB8bRFVfubAryWTYVQH8fjcfjgiNonnID81YpShUsbI5RTq1bJeXv5xEmrFaH4+rXm1iI9wqNFl63kM+V4p9pl1OuZlDtOb8OjRkZkrgveHueln8wWWqUm1jHpWOiQSBx0CufzefR4U85d97E8x40t1wXZk0oL+iSYkxZJVy8+N1vfjO02+dY3OLRkTnmoDX0RATNVRrM6xnY+n+vx8fHXSbrH47Genp6Gh4NzkT29Z81UL0aIXoeRYittaBEeSU4kywiSNSgSLz29Ihk+IFnEq3ogva5HOoIbRNULafAejzJahElDZF+XHFIrwvNoiOmfRzAeWZH0PaplqurgmJnBuDG1SHNKphwzNwI98uSYnKw4bvbv0ShloT5FWmxLeul9cN1aa+RZz5Q+OaTvGgedvtpr9U2dYxTP9fAyk2/qVo33E7Rx1dojcRtWGdHnzDKO2iUP6MHl7pRkx6opU7+p+09PT5NHO98DXU8v+KMdz+dz85SAUnelI1U1Oh6jxfIFYl/6P9NsGo9f45/IEfFzQ6aVkrK/qShPYArEVInKQOOiobBPJ0tPhXltKyPQXHivl2x4P52DR9tMSX1clK+nzK15yBB9U8ZJmIRKeU/17RGyQANt6UgrM+BZY9cHLwNxHOyT46bsGIhwLRnFt3SAcMJ3HZCut1Jy3kdZeF8+fz83zvXWU8J4BNPXzGXFDKB1UoUOQF+xpRKX2p56XCOdsByBou5e+FmOjHkkxPdEuDQICpjfNEGD0XUyRpGniGy5XI4+UcRIhS8/EM6xMn1h2kTFYGmBxibFlOfl/Fkn9dLEJVlyPm4QatvlrXlorN4u23Bjo4z099QOMcE14lr5GH2sbIcGywiI2ZJvhpCEmeZ7BOW6xr45Zm6UyaA92m0Rof+tsbrM6DBaZZkWYbV0hO+zPMCskt8vyGOZTnhaI8ra58paOuXTsicvv+ke2hF1qrWP4U5am9w8n6sImLxC+V4KSt4b3UnXFcgPhUtgTNOqXj6N4lEQ268af32KFIqkISXxGq5HNK1IjkrLkw704k4w6ntqk0IvEiAjBiea1pynohEfN/vxj+synfbIjNFLy8F4vVFy5jp4BM+f+t3J0PugMZJUeUb1fH75GCzb8/FrHb08wNIK585IzstOU3V2f/Gki0iC6+NRM3XJx+Lr4/pDsB1+Skzk63JVe65fU47eSatVUtL8WUaQ7qm/qY1sOjvqJzemnS80Vtqf2vLssRURvye6f3OEJkjPRgLT/7iQImL9TSLlN9x6aqyotOplh1b/d7J0o6OSCFpwfkyS36E2Fbkw2lK/jHDX6/XkCQX27VE1+/FXK2KhwTPaYIToUY1eNA46TpIqx8MUzj/govdYuqAhkFi4A9566IrXbFnL5FpxDHT0rXGx9MW1IFFMyWAqItfa8VgWI0S/l/1Nge3pb4KZn2Tpm1uUp/90fVbWKDsmebojcHvSPNWvR8gah2qz1EeNXeNisKPreHaccz+fz6NPtKovBjzkpR7ovpGmc3bysvS2voHmR8FIPLPZbCBc1WS4yIxWeDjbU+WqcdRJOMFV1cgQGYVNRU0t8H5GZXrP+6SyOPG20iISLn8SftTNo0625eNxeTjpkrBb5OYOwUsEJBKtH4nXSZffdiEd0b0cnxOMSIdyZJnBI9ApAmwRruTIdWX9VOMWWs50qj8SIufaKje4g2iVElrtX8pOnMC8VOLwFN7n6nZdVaNPqOqeqprUBd3j45cuqbas/RQ+PuDp6enXeXrhcDjU/f197Xa7urq6+qnz5U+PZRP5MuLgeb6qcZRZVSND12FtfuSP97iCMCKU8lMxaJgki1a6NVVXI9R265yrR6I0Bo+mWpGuK7uPs2UMrVSWO8okA96vsU2lkv7eJbmQpBmlsh2PgJgNkXS9XWY0XkqgM5iSUWsOU47ZI2HeQ7koSvQxsL2p0pC/XIayiVb5TtEe/y/H1iJLL4O5XBhQkERdNzQ/ys0f4KTrWhkFI2vZpIIOHSelw+TcuX+itnWKYj6fj84W7/f7ur+//3WdXpAgFOnudruaz+e12WwGY6AAmW76BwiYDsmI5MV0r9/j0QcXXIug/lwRPDLR/VK6+Xw+qnF5XVrtUuFIbCSNtwiXr0uyfssZzGbj40un08vDg/iRTvat3zkuJwuSyBRpqQ3fYefY2CfTSc7fP1uvdFGH8DlHX3+uIeuFLZ2jDHwjRm2zNELZkABcJpof12mKzJmCt0BZeVDgJM0shISr/yvt15z4wSXWT/0Yma+b5u2Onfrf0k8ndW9H5TyRrtbZT7xQ9rJlyZTX6MMRv9pIt6oukoHeZ9TFTY2q10KsqsFre4qr91yxBBoeFcLPHU5FMl6MFwl724ygRbweWbO+56BReW3WX5xDy3NzR1h96+yzSJf1LZZPWuTF8Xtazd9l0C2HQvD/zGxYCvBIV1GNTqfop0d43gfTZf3fjZfy1zV0MP7/VnnLHdHxeBzVLRnVOVj+cLkwstQ6Ud9aYL3eN51Un6VzY0Che/gYSSdc1+FWZuelBrXtBO1OSmvPs/SUPbmCG/HMWiXD1rrxf++Nbl/XM5/PXz0yUQTEHcVLSqP2SECs7/hnvKteHztyoWoM+/1++OCGIlEV/XWv2qPh+ufwqQQOKlRrHK3Ij5sfvunD/jyK5oYgjVIkJZLhE9u8pOMk2Ko70sH4/z36cgLhz9bvJNopObgRCVMlEo7PCcIdYiudpyw8O6MT97F4W3RCJF6XXStCpk0xpecYWrrUkoH0iN+2IPhGMp2K2mxFuSJnPquC+sXxeKnHdc7tm5uA7uwdLGuofT8xoj2llj6+F7pFuqvVqj5//ly3t7ejj/cej8fa7XajNILRFVMYr2XK8+kjf1w0EQ+FzHtb0bArEXfO3cAIr0F7qaJVy/PaGqMPzZfHezabzSAjRXKamzuplrFy40FjdgfQKmEwwiDhkeA5jlY24yktow+XvY+FRsa1oPPx6E/t0cC9js0o3Z2Hk66XNrjzrzFcqgmSHLW2U5tqJIgWcXIc0k+Sie7z3XzalNZV86MsvC48dSqDY6JtiGifnp7q/v6+Hh4e6uHhoflx4alyk9pU/Xaz2YweDeAnhaTf5AlmdHRqPCV0fX1dy+WyPn/+/ObHj78lupHuZrOp77//vr777rtBOFIOEQ5JTpttnjKRvBSFVr3eEGEkx00M3yg4nU6jnUzWg1Q/0u+MPjguES6jZKZe/o0UNDYpAz+Bp7npWRTX19fD09ZYEuAT1mjYjAAoT38gtBPB8Xgc5C7Quamt+Xw+jLn1dTFTKVqLwHzcJF0/3qTHbrZqunrOql4ekbEfz0JakaGPmWezafxcd30Yp9WW63ZrPSRLEajLgGQrOahUcTgcar1e1+Pj47D2PAGgNWSJqWr8QCYRJnXCnR03c2mLsiOVqR4eHuru7q7u7u5qu93Wbrd7VVZi4CNbYjbDb/++vb2t6+vrYd4kWMpHc5U+eean9dHXgGnsm82muf7vge6ke3NzM3ocnATPL55kKiGSYR2JtRopk8666itAdrtdPT4+1na7HX0VEOtBVePvKFsul/X4+DikWqvVqm5ubobSiLwhvabmwNqoP29W6aIImJG+lGI2mw1jV98iXSmc2pLsSDZMYaVIigAUKfBr67fb7fC7xlc1jjjpgDQepWKn08ujOiVHtUen406OpKqfjE5pTCQc9S8d0bVTu+2M4DyFZT3XN275EXWWOFyW+jJDXw9uQrbkqDnowU4a136/r9VqNegr168V7ZO4RbqtUwzsl199pev4qE6eANL8ec7dj3gy4mQ54f7+vn788cf64Ycf6p///OdgEx7hS/917+l0GmRc9RNn0Mn5iQWtk9d7JQ8GQRqD5sIomn32QLea7mazqd/97ne1WCzq7u5ueMyjC2Kz2dTt7e0gDBGaiFpRnCuPjEOKpGd9Vr0sEBdbBCYw1eZirlargfhkaPLKUljvR+2xZrRer0cGq7GLuJ+enoZjLVL2m5ub+vDhQ338+LE2m81Qx1JUJJmIKDzSlqEoWmafdHDr9XpU/2XkqTXk8T6Ry36/r8fHx1e1VzkdrqufPvHIWeso+OaJZNiKENUOPybum7CM7GSQjIgZFZI41fdmsxmirpubm1dy2G63o3Plrch6Pp8PhCsdl05Kx3WWXWWTVqSp8VAWh8NhyMrm8/kQPJzP54Fg9FVU6lNkJOfhG6De383NzaADPFEiB3w6nYb2NW86PuqIiNHtRnJinx8+fKjb29sh29TYNW7JlU5I8tS1rCeLZG9vb+vjx4/1+fPngXR71HRnU2nV/8M328pT7bbq9VnSqnFhnbW5YSAT17feZ53urQ2FFrwuxGjMwX59jN6n1xxb8/L7WrK4dN+lvt8at9/D/7fa+Zq5t9qd+vute94ag//vEt6SW2sMrfWbGkNLhpfamGqndd3U/bp3qsRzSff+Fd1t9c0a6qWyjd/nfbKe/pa8Lr3/NVxTVYPD+oaYVO5upBsEQfBvhEnS7f5twMIlT/yt2/1X0SPV+LXh0obULx3/lcf+S8MvzQ7/lYz3vZBINwiC4NtjktWnP1MaBEEQfHOEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUeEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUeEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUeEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUeEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUeEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUeEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUeEdIMgCDoipBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6IiQbhAEQUcs33h/1mUUQRAE/yZIpBsEQdARId0gCIKOCOkGQRB0REg3CIKgI0K6QRAEHRHSDYIg6Ij/C1/DE8Zo3h23AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 9\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 10\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 11\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 12\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 13\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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HKwVizQ+vq/9r864GqpLuzc1NDIfD1jnDvHCsPXF3nkYl0tVLTqsUJ+Ippdai55qwoGtqg4bHuJjWqF9aKG6W6XqXjDCTA0spdEC+lxtmfPFaBNWbHK1UHz+fz029LPdLn8nqUdekw2kes9KVMdMRuMGVVaPWgDXUTGBaS/1OwUFt8bhWzpgYKHRd9V3rQDWkIK5MQNeWSqVKVBZClc5rc175e/Vb5EHFR3GR1zSPTeNjiSWXWkrBO+9l8KW/sZ6a+097lX3lEgA3N/OGr8A+SPQ8Pj42ZavcRxKvOIKba3nNeQKGwUhzzaD5SZUXhKwISQbcBOEuuv5GgpDBS43ISPl5RlztaqqdrD6VGkU8KZiSoWgRabgal0Dj5fXz5k4ubVCJURHnVExOxLa5qaWXPns6tQ/Ta5wR0Rga1RSdu6Quec1cP2Zarf+LTKnw2I6uJQcQsqOrXdmF2qfSYVBiO5oDKXMqS/U9q0mqTdoKCS4H2UvEywxGP/MpE15bmRzbj3g6K1xad5EW15pZSE7hqWo5bxQSVOQlpas+kQD5fxGuXuoX+8Qx6tzu+XxulC6zXNmRfJ8nE2RL3Mzj0T6W0Ei6uRZfC9XP6Z5Op9ZikOBkACRdGROVjiZfpCHipGOJ6Eq7+hHvRnhtSPX7/VYtSgopOzTLBDQgXVvGx+tHPKkqpq56P8ssIgWNV22LJDmmrK7pNOwPx69Nl3x3mD4jkHCz8tf7qM5EolK6JGSOl6k+xyyVw0CQf3Itci2bP6VSuR76LNPL3BbHo3WhbXEdcw0xOzBrqPIDkqbsmnOa6+D6XEkhK7gxmyHB6doMgtn2mMJrc4kKOZ9K0dzm2q6yDp2VZT1Xx7JKAV3zoYwo7zdIjYpolWFwHGpXoonzrXFoHyXPbT4r/7FR9Y60xWIR4/G4iXxSoPm4T3ZsOZqMWxtdWgzWiEmSdDimlVTcNEwu3Gw2a6njXFPTwpPc6ExMr+Rcuk6JeJk+yiBKu72X6pl5bJdS3Yxc28vtk7hEPFnlcv6o1DlW1txy/3LWkOch10DzmlAJsX0GLV2HSisTS+6n+lDKRrh7fjqdGrLKJ0J4jUw4GVwnvi9/Jgd4kZ1eudTCtZQf5EAtIcM9kTyOvGGrdhU45HPalBbxsrykdrKdan61bvJrvZc/z+dzs4nIckgWPfJfrW/2Ga2dfLQWqird9XodnU7nnZSXpJvTKi26oh9PLEwmk+h2u03aTKXMBSDZkaTz+5TWsg5Mg+QNGbyhQoTEsdAJ9Du1r/FkstB4I54ckEZEo2edjhsoOS3PRCIlygCiTQSNVcpL61ByeqJEMBHtHXzWkUs1bs1n3lHPCpfBmKlwVrw5uPLkB6/JV75jjGMopaAkNl5X7+XGnNrbbretXXWq/Ez8RO5bqYaZa9alEgnfx+xSpTX5Sg5cnIs83yRH+RWz2JwhqG+0QfoS7YJlNarew+EQ0+m0df5bcyhbzkSfa9yap/V6/aww+dCoenNETtGpIvJhey0MH1Ch2wlvbm7i5uYmptPpO+k01S1T1OzQjNBUU0ptGe15xKR0WkLXZTDJZwr1Uj8iopVGMTWV8ZVULUsPmTwzSZKoqS6YtvGuJKkCHSxnCYBrRULQeJhm6+8McsfjsSHeXK7RZ0lOuiadn8qoRLAMSponzgcdi33mhtilMWgctOOskvNRJbXNG2cinkptmmNdJ7eVbZdkrWvnejxtlkSYM0gpYtmvfEOExs9qLhW4ctuqaXMDNGcIInauFR/CJJtmiYt+EhGN/7FcIh/ebret0gPVr7iB+wCZlz5J0pVKFalpQyOiXdeMeLdmK8Mcj8dxc3MTn332Wdze3jYnIXhPt+paPB6lRdLZU6bSJJWcHpMM+X/Wkln+yHVVIafwWT2wTRmI+qdxUaETVEmaUznDJfXL+VWpJiJaKkPvy2tENRERLZLJ6WfuX6nMkJW62s4kkrOBTK5Z3TIlVj9ZE899yn3nmpEIs0LPxKt11L+56aNx5d152gLnIpPeJbXNbEjvLynIrCRp6xwz57+0V8AArtp9aS7VDv1KGYBOHvGUiLJU2bHO4bLOzNMlgk4dcU0i2sdHZcN6Dwk6P9viY6Ma6fb7/eYxdYyOuXYW8a4xy4jG43Hc3t7G7e1t61FwEdFKafigFk6sIrUiHu/9prNKBVJ55XIHa3Q5zZeRKcBwB5oKNRMHlYIcTpFcjppvny6luO9DqTyhNchpGtsulX4ySfEzdDj2l0FJTvt9kB2Ic/19QWXIPuQNllJw45g5jhxEc3DhHOeg8z6USFZkKPvgppzsjn1RH0t2SuWZn/NQGgcDmj7PeaXvZBvP/qUyXUS0skP6tFQ4BZlOLjFoyOdLWaLmTe+VateNJsw+a6Cq0tWZWqXZ2aBYb1P6wdSTTxGT8lN0zOcCdQ21p59a/Kw2aBQ8HK9ozhpRqc7F9KukvqS0LimXTFBSLqxX6326Do1LbUrJvI+MqByF3Df+v7TrW2o/12Av9UHtkLiJTI5sjxtFpb5RgeUxs81S/9h/EctzY2RbWb2TnHI/cjZQmhuBwZjluIgnsaEHzQgK+Lm0ov5RBZN0eWsziTgHD7VJv2DNVG3RD3T9UtmFzxLhc1ikeLkvovHpbrKIaJ7xwJMQymoyOAd8znEtVCXdfMwj1/e0OCJZ1Xz4sA/eqcJjMvmAthxKE0+HFBh5I56OzDDSy8kZiUs1VqZAvV6vVU/VNbIyympWv2d9WEdt8h04rOdlRZGdXNfXLaYsZUS8S56M/Nz84xqRMC+l+nnzItct+b6c9ejaJDbW/tUvbaIo9ef8MGiIhLhZxP5kFae+XBpbDhi5zMDx5DnmetBOS47Pa9N3ZA86kiWlx37TRlh+4LXYfr7LLtems0hQeS6fauEcyJ/yRnDOjJgNUcXTr+UPeni8fFb/Vyao291lM7SnzDka9ydJuhFPdzCx9prvFNJi8aEe+j+PaPEQNCNgVmkRT7Xb3W7XECIXQxPOzZQcHLJh5aNBJLXszDI+GlU+qcEdXhqYjttIxer9qsPSwPl3jYv1K61BHmMuT2RClsNIreeznHkTSmRLIlS/tJYkLvVPJMFxMF3US6qIKlyf0xhKZKix67PcQGNqzTq+1jqrOV6fqXjejCsFNs6Z5oa14FLZqSQEdDRLj1CkulcbDJ60C807hQHngoGDc8Lx5GOSrKFmu1Cgo03pLtC88U071Gfkg5vNpvVcEI1RD5RnWSzfyMOjdSJvZgO1UPV5ujJcDZxRmnd75XSHx3nO53ND1LxrLOIpalHpRESjJBWFeVwmlwf4Uhs0rksbZayRiSSlPGQ8bKvTeXo+K51Z/RXJq1SiYENnycpRZJfVpRxJKKkW/tSYci2OWUFEe0NC66TAo/GrT7w+yY/tKr3MG6tMYbkhpLXMG7O8DnezWWPXPPJpXZxTfYZOr/nJIoGlBL5o+3lumR1pTUR2XJu8vrQj+ZC+WeV8bj/4hT7AckwpUHKu+Plc02VbXCeSptpiICMZiwM0f9wIjGjfuMK7TkXU6/X6nQBDu2P5hYQu/xRJc9PuuVLch0ZV0mXdRiqOX+shY9Pk06Gz8lS04t1qOpJE59WLX0FCgyE58ZkOckK9X4ZOxcMUmWpKBBnRJi8eOSLh5dKH2pcx8/Zd9ZNPoyqVB9ROTp/phBwL5zanjqWbVS6RQi5xsFSh60ZEK1CS2NSPfG6bzsMyi/opB+T1RToMPhyvVHdWdoLGyFIACVf9UoDhJpCumwMB55jXIbGR7LMPyXZkF7xdXm3lYM55z2Uxqmiqaar9XF6ijZZO7Ghe5UskQPmB+kgb1kv2ylJHHvP5fG5t1rGPmXBVotO6qUassuQnS7qsQ/G+c5Ena0F0WKonEioNLt/tJQXByY9o70Az1SrdeMEvYaRxkYBKyooOw1SH5QESBp2A/RNKaXZ2bvYpp7ElgqejMNKr7Zw26nZoznWn02nKBFIyzDDo+OpLVstUHpwTlnJoP5wLjYtzw7GLNNRHBQQFaKavuV4aEc0xvXxtzQkfzK2xcn2oIknAnPcS+WbCZcDJG8G8rtYxp+jP1U4ZsLk2JNxLbZSyP62JlKR8SVklsyT6QrZZtUHlr2vmE0cslVDNq6/50QDdbvcd/pGf1EL1O9KkCmhwOY3VounxjUpN+QAaRXftakpFsz2BqQVTrlzKmM1mMZvNYjqdth5ArcXTox9Zf2RNMRtz7oMMtXQrbSl1pwLS+6g05HTcXMrvKzlO7qt+klD4bz60hAfd9W+qJJFyDiqa7/yT9eOIcmCgU3BzjjU8KnSq+tJal4Iwr52zD5It50LX0nMs1AeWxHSeVGqNc1MiyOfSeAVazkcmH5KQiF/zwwCVfY62p2vneicDjIKxMlX5n/xXN97MZrNWhqu5lx2W/DP7sD7LMTKDkjCTfez3+5b/5pIPMyQJQQb4j43q3wasGxposFrgfr/ffO30fD6Pq6urmM1mrU0iqWKlDXwSGSeOCybQKSPaUZUkzyfya0H01dF0CB03iXj3+Qn8XSZcRt+Sw6g2p0gvg2Ldr5SW5TRV80CVrGhf2ujJJQ0SME9UcGMvov3EMikOpnOc/4ys8EvBUmula6ktrV0mqhKZZcfL/cpKJ9foZQMqiVG9MeVnBqJ+k9ByWq82+ED0bFOX1rpUr5e95I23HGBLZQaSUS6z5DLQdrttvjFaNWWWDPjMa2ZI2Q6yz/CagvxaJRTxhvyHR790HQVIleY0Jgom1YdzMPjY+OikKwPZ7/fx5s2b5n5pTRjrMrrNV3eciXQ7nafvdFKb+agKz26W+sB/U+nwHLCIV6UFqtxczz2dTs3hbqa5alcvEllWkjQaKme1IWeMeLqjj+cohUy0EU9KmcfRRCCa91IKmVO+rEIZ3FR/0xpQzWmuiOzwea4YeDQu/dR8sITBEoHaLxFcVlAcT4lwCc1ZLofxTOwlmyuNlSptPB43c8gNPabTRC7PRDwpfNkP9yLUjxz4Sb6aQ710nZId5KxPXxwr4lKbOVsdjUYN8ZbKKnnO8u+krNk2SZxBi9kJNzsZJOUXehrZarVqcUspMH9IVFO6Il1FGN6mq4L5dDqNq6uruL6+jvl8HtPptIniNJa8sVNaREbVHOkj3r3lUk4gI8lkSvKlIfD4E1N73nhRqgfzmBtVqIiFpQepFqohqSQSFMfGdJrOREMkcV8qBWiO8macAl8el5A36bQWpc24ErIC1npdIlamqux/Bu0ip9kCS1B5/fImEJUiA0AmdwZUzbt+am1zsNcacx1yvfVSfV42xr7T5qjOFTCzGqWQ0VjP5/ZXnfPbtTmXuttLPrVarVrBhLbBwFgi42w7tDm2ofmcTqet8YtYRbwag9bl8fHx0ywvHI/HWC6XMRgMWoOXMeX71BmtRNQ8scCNhOfSE6ZMWY3qutpwyV8BpNSMmwWKmqyVZWNR3ZAbRpl81K5+rzaZwtFJ1Oe8iRDx7r3zmUhIsKzJMhhdOhJXUqFyPvWT9TH9nvOt33E9tfb5hMJzGyysb+d1Vvs52NJJZVM5bc8ZRiYAOjgDS2lessLktfUZjV3jymd7qTQZ/PjitZnhSAxEPO3i0/7VFo+r5bXRuurF8coXuZ8ics4nWI7HY0wmk+YbtjX20p6O5uG5rINzyqxju9227izT2lKoMAApOGm8q9Xq0yRdKcWsikRQeULX6/XbDv6/heCDxXlUrKTQsnKh2s1KV59RbYxqlwuYCY7OrTaZ2uR+ZEVEA+QGCf+Wa7A5VYxoK0r2KZcLODcR0XIulg14BxBJWeA8UPmyT1nN5Lni+9SWyCLvhstGcv/zGAUqOY5Jfc3kwtptXif9Pm9SkpBJeLouyzp6D0s8RImoOV95XHkjivPE/7OsxPHyNFDOYGgvXDv1m7bE0gQVO0tl5/PbPRge++I4s9L9Pn4sOxHhrtfrlq92u283eFmr1ZrnQKKxs1RUA9XvSCOy0lKtiGmMSHe73bZIt6Q8eB0RKcsKNBiWFng2UT+ldKVYc9E+3wyQr1+qsWbSpDpknbnkyPwMywQ0qlJ5QZ/PyjGvA4lFhMvfMcWUSqKTlYgjK2b1Te/j+/nKJE8iLJUN2D+WGvJ8Z7IsqXd9JveXaiyXJRh4GKS1Vrz+c/2n+mNf1I+cQVHBcu5KR+1kg/qZb17g3GZVnvuqdnNQpC/JVvP5X44jq3UJHxF0aa40fm1srtfrhvQVXFV/1wPU85n9UvCriaqkK9BYmY7IYFRv0SQqYuZjSzSIbBw87ytQwZF09XkaJ4+h5OiYb1FmbTSPUW3TkRmxeTIjK66Idx+iTYLNTqfPMV3OaTNJnYbHGjEVPsfDkxQRUXxACq+Zr6uxZ+Wo39MBuTb8uhYSZSa63N9SKq7+lYg8k5zex1MCsgOpo/wcC4LX4R1eulZpfrJypV2SnFge0t/yzR/ZnniMLD/bpBQ8S0GaJxuYCUQ83aGo+eFYub48uSEhw1IAbalUStK4xRV6rKNudFAJhKUPXju3Vxs/ys0RUkuMbqXjMrqLTGScHUKTWDq5oGswjeIpB71H7fMYV8QTuVKpiMx4jz43P7LB8sValdobjUaNQdA4MjHScfNxopLKlUMyoBGZjFg/JqFfMkr1Ia8dNx8VSPIGE0sZVHWadxGNxqB6e34uAkmXJ0PozHLivFegec0Kj2mo7IbqmMEzq0aShdokyfG4X1bUuZbLWncmUfVTY2DpJZN0zlJItprP0u3H+cWx63rH47EJwPIL1lR1bdlWfl6GTuWoX+qb7Jx+RD/gXMmmZAN6H/2NQkGfp2gjL9VC9XO68/k8Op1OoxSpGHOqztofDZRHQyLeJSAujr6MLpMvP593REUWclQtqvpDgmXkJomXnIbKR8Yl9UYj1HuFnIZxzERWejl9JnL5I6fMcp6SihNxyKCZQvLaei+DqQKo7kLTK282sU7Y6/VaRMH+sTS13W6b23UjogmK+bN04HzKRNlVXmetqfrNeeJTuaiO87VY/8x2kWv5eS2z6qToULtZeGSylhAp3XFGIstj4BrlMpiuz1IT9ynySSPZDQMBAxMVfClws7yXN92zDelz2kgbDoets/16XsVisfg0N9J0ZOz6+rp1HlG3C/KWSR7LIbGIrLnTS7VDxXc+n1sPwZBRamFoPDxeImOgSrlUI9R16QA0/Fz+oDFR0amfJXJUHzPh6veXPkdCy30p9YlniHm6RO8jeTD9FUmRZFjDpFLM4yG5MKPhc1ipxnL9kbYiB+PtwySD/Pi+UjDi+irgqP+aH2ZcugaDLeeGQVr9vpRBcK5LqX1e61yCKdXDS7bA9+ea/aU+8f2X9hA4x5mwuUHLeVHAI2HruqV55tnf/HyUHMQ457Ij3hmnn9vtNu7v76tuplW5OSLi6duAdSpBjyYkKUa8qzpFkprAfFeWyhC6lpSq2lNqkQmI/eLGEfvElEtKMOIpnSmlXnS+/JOOm4OErplBQicYCEpjI/Gxnzn1PB6fnlalTUqmW5lQFJhkpAw0fHiIrq2add7VJpGzXxovn+tQIl2WfXJaTKKnI+uaDL7c7FKNUA6fiSN/yaJqvFJ3pbHk0xj5QUpai2xLJfLN6TbtQptTlzKgbIc5VWc/mJFxPRmUSYrsC9ul3bAMVAowDFg8QSN1rvnU7cX81gmen5bvM6uheNJYuRG3WCzeuZPwY6LqkTESKZUiCYw1IB5Cj2h/IR4L9vlRhbqerskamf6Wf2aipxJVH+gYPFIl4soOLifnNTg29qnULxp/idCz6uDfIt69I4ukrs/r+B13evPh/6xwNTbOmTZOOF4Z/G63e0dpst2IaNlETv95qoRlAq1DxLubTvkYYkS0AnsmJqn2vPmS7YM1fwZu2hhVJfcKdA2dKaW9UqleWkP1KWdkJPtMvJnMuTa5rp/XjjaveaTt5v7p37IfkmEOJAw6FDwl5a12VTuX0qUN0J9KwUrrxFNPFEA1UY10MwFEtB9MrIEzMl5qRzXd8/ncHIxWShzR/tZhGhvbIOhw/Opo1R4jntIbGrYWmoRL52GKTAPJZKvP5b6Wnm9KEuH1ckmGjpUVYkRbHfCQe+4fCZenNNRXfU4PiOffFSy4SUpCZW0vqziNmZt0vCNPn8kPQuHack9A/ycR00mp5Ej+bEvtcFMv3zFZCu6dTqeZH6a9eVNUwSuvHzNB2od+n+vbWhe+r1R+0vqrj1lMlMpaWcmzpqv3yKb4nIrSZlXJD3PGI3XLkoLKkxHRGmduK4s2ljki2g+VqomPTroacL/fb27vFQkdDoeGcPOGTN7BJHnQEGazWWuh+v3+O4V7KkNCbYs0F4tFvHnzpvWwHaUx7F9WxLoWlZ/6w7RYfeaRn6xQIqIhONWw9BAeKhJmCXk8JdLn4ypJVgosIg+VAxj4eEpB195ut7FarRpCkUEzmNAZz+dza301P1nxkZR58kA3rnA/QKUlff02A4vIk/NQqrlTwarGxyOCpT7pkYVUWzyipLGRlEjUuvNRxMFUN5MeFSFtnESkcemBMCRglsny5h4DMEmfBMlMg+UIBh2eEFDgWiwWcX9/Hw8PD00WRWFUCo7sG3lgNBo1TwCcz+fNxqjGyVMUOSPN68vMWvZ8fX3dOuHwsVFN6Y7H43j58mXc3d21lAfVkggu34bLdIpHS7jgIqflctl8fQmJMNePZNisxal+NJvN4vb2Nu7u7pq+s5yhuhZfx+Ox9V1VIpkcpfOZSBpGvqVyPB63HjUpkqTSi3h65F6n02nqqhFP3x+lIKLHZJ7P59hsNrFcLlsOnMsVmr98rvN0OsVms4mHh4fmeRqXVNpoNIrj8elZyblsoOAqso9oEwtPuJCsSLrr9bq1M612WXekCi+l3ByvniVQyham02nc3NzE9fV1TCaTJujwLkkSFH+KPPQkPZG27sB8fHyMXq/Xyvxy4Jadqx1tQmsu5BN8qBTLMrlMRbvjYyv5Wdkvg28OiPJnBa6Hh4d4/fp1/POf/4w3b940ivd8PrcyP9oa66+DwaAJbvKB6XTaBF4FfyE/N1nrqEDGmyTUB52kOhwOzR5TDVQj3clkEl999VVMp9Mm8imt7Xa7MZlMotfrNcY4nU6bc6xUETJiGRd3M1UrE6lo0nU0hJCBaBF6vV7zPn3V+8uXL2MwGDSLHfGkStQ2a3n6m4xWRCIy52kNBRX1hU+vktKdTCaNg+rzJN2Ip1Scak/XHI1GMZ/P4/b2Nm5ubpoHCJ1Ob7/QUOpXDwNhOq7golqt1kTqbLlcRqfTaRSvSjPqv9Yop6KlEoJUPxUwCVfrO51Omz6LdEWyWYlJ7coxFeSoAjVWpsQ5HdY4IqKxg9vb2/jss89iNptFxNvnZjDQ8+wy9yP4UKerq6sYj8dN3VfPJ+j3+7FYLBpbZIDSfMxms6YNPfpU4oU3kkjpSpSUbG69XreCDe/4VJ+VHdEO5G982D+/euvNmzfx3XffxXfffRf39/etIED/JWSzyiLG43ET4HRNBVz5r9rI2Zgedi6fWq1Wzdf8UKSJZ6bT6b9Dbz8I1coL0+k0vvrqq4ho32vPjSKlbnrSmKIP70aLeFJwPIyvL5rTLi6/sC+rwogn5aOaEDcM9DsSn1SNjFUPNFfUzjVBjZPppZSrvkaeCkFETjXAKM9UlCUWEW5+CFC3+/Yr76+vr+Pu7i5ubm5aqmiz2TSOowd+aI6kmqS4Op1Oy9nO53NMJpMmpdXJB9a2ubmi8UtRS8XwgfC6LhVyVrhSO5dIlyppMBi0FCuvQcXH36v//D3ripPJJG5ubuLu7i4+//zz5rGjm80mJpNJ8zUysk8RhOxLSpmlKwXS6XTa6r++aFKqn/NH0tXnIqJRurI1ptGaS9q9Hm2osWeFntdtPp83IqD0YKher9fclsv6ssava+e7+OibEii63u3tbfOYV627RMFms2nGrj6SM+Qbq9WqGZdsYTgcxnw+jxcvXsTpdIrJZNLigY+JTlaACR/s/ISIJeL556rSWfMOZ6vjhcnJNU0W5ksotZk3L/Kuf/5sqWxRGld+cQzvG2OuU5WuWxrTpeuW2nlufLkP/Bw37krtlMaQf5ZQem/pc6VxXJrP58ZX+nzuD23j0ny8b3zPjeM5G8qfv2RH38eWSuP+d+yX4KbgpdMElz7Lv+XN0Uv+fmmMuYz4HN9ERCsgfSBcHGA10jUMw/gPwkXS/VEeeBNxWYV8CHn/nkDyvVAjzfhU8H3n+6c8p5/CGH5q+Kn44cfkmn8FVrqGYRgfHhcZve6pYMMwjP9wmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZF9N/z906VXhiGYfyHwErXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlER/xfKwdasCkz3OgAAAABJRU5ErkJggg==\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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jUFlFc6HnZ7Kg4osgWDJgqicClWGw9smoT4uE+kxjlExEXpQjU0emtjnCYX/YJ8qXbXIxjfKSbLUwqx9GdXTCzHJyKULlCLUv0tP4pI/SPfWP0TGdDGucOcjQGHOESj2izuXoNSJK33LNNZei2ur5LNlwzAoIFotFY+2BOkN7lFzkpNUP6QEdDu2SpMtsLdsUn6kyIcs2It0aqEa6Z2dnZZ+mVjNFQjmFZd2QKSNXIkWO3E6juuZ6vS5Kpv/nOhrrZ51Op6REg8EgLi8vP9gHKcKVEeU0iPVMGjbHxKiKxEGi5mIhiUnX0fnkRSi1GfHkAEi4TCVZK2VfmH5GNKNMjbPf7zdqqJmsKRcpvoiXRNdWP8wyYVRJ4heRKarO0bfIku1lws3OTY6MDp31XGYEjKJI2hHRIJ+25+Q+Zf2mvHlf23xLJ9scPHWJBJedm+yExK+Sj/oqOeQaetsCpchT2aPWUvSZxpXLLwoKuO7Dee31eqXkxTIRHTltlmUIlWxUUmPZTvpXC9V3L5AMNDH60d/kJfk3KpCEpfRKUauiBno1RnpMR/ijmpm8njyziEoKKKWmAqsNKj3JltuvMtmQ6BipSU5chNPuh0zE/KGh6f85EhSBMZLpdruNyDJHQ4zq+VyOWW3qem4DowNkRKRnKEqmTHltxBPZr1arD8g5y44ZEslCsmQETWchUpNBZhIlYSiLkvzk0CiXLM+IaIyLpMusjE5Rzzs117QnzTVlomeKVLIjygtKlJ/mjvdkHace6ZkKYES4tOXclvRc+8656yMHSiJpZXZnZ2exWq3KvKvsoD2/OTqnfjCTq41qpLvf78veRtV7lNLr31qo4F5TEl9ElLobU+OIp72rXKSicqmdnParXRHG2dlZPD4+xmg0iqurq8Y9udaUIw56fjkB1bW0HSkTEiNuRkUkCUXuGr8cBQks15KzUVG5SNz7/f6D+i/JQuNtA8mTaWheHGT0xHRUxs6+UB7sf1v6nMeivpA0qAPcfaA5bFv8yjXZ7LRZ18+g/JklUMZ5rnR9zgSynLN+iaDk3Gkr1CfKiPJlFKktYRFPgQ2fyQhfc0Zd0XXcKcQ3G9U36jCdmaJcZcHMuiQ77uLJZQlhvV43IldF3SoNqU3KnzujaqDq2QvakqXoT/UevQmU94cybcmkx+golymo8DkqiGgusnDy9ZletuCbVqxb5r2TejZLCVpI0q4IvWUTEWXhia+96tlM+2nwjNzbIp/ssWkgNBR9JlAWORo71aaQibbNObH2mWtxnFcSDcsI7APn7FN/E2mwzsxr6BRY4shlGhIPSwFMjTOBqg+5zpvBjIJ19LZFwDzXjJJzCYlzQOep67koSJ2UA84ZikDnwUyIWZLWVObzeeOVZJWXso5LfoxGqd96Pt8uY5mAc0C+UGlht9uVN9Q4f5SrXiSqhWqkm70rSwkqJ+TV3IiniZY3VtFbNV0ZMxckGO1GROP/jGp4PSMq7g9mOUELGDzvICJKdMHx8EdlFHlzetyIKCUSEhqNS7LidrVMMlRiKqOchGSgv9G4pMCKxAUpIomeBs06L0mDRKL2SfhKI/P9LGPwN8fKLIX1uiyLLB+ShZ4px8l5zWRDIqSDz/2hnCQbZmNcNNXY5cilA3w+95Z+KsKXfihQ0T3ZMYiUqI+yG0Wzq9WqyILlsywzjot2cjweGwvTLC1wDG22SB3NUa70Vjaw3W7LvLEEqOsPh0OxGToo6ry4o42MPyeqvhyRt3VFPG0RY+oX0dwuEvHdhOgNsPF4XA5g6Xa/ezUwp6Vqg4TEtIZGL0Wl8uZFGe4JztujmCJJmRV1kNAFpn0cp4xLBqJ2FbkxWsvRaSY8kpEUks5HJKLFIz1XtWP2hc9knZe/maoLTK35SqZeKc47IDSHLE8INH6NgwuLjCbbosYsJ26vEuGxDixoblRCIenzN2WU2+dBQzJ8jU9jYQal66kjnO8ciZNM5ShJaMzkGJXSgTAjVORM58V1DOk+51v2RDukPXHs0hUFUAxg2D/1S3Pc7/fLuSeHw6HhNKRTXOyUTTPSz3V/2cCpctHnQDXS7ff7cXV1VdJcCSniiXjppTudTtknKUU6Pz+P8XjcOD1MbUU0N7BnQuPviKeN4avVqvSBSpZTPk6QtqhRmamsXN2NeDJ0OZC2tDbXp5mGq24nGeVITv3NRJwNleDzpfQ5ihPRZOPPq/YkN5KL+sgInX1hZMhnsmZK8skZAq9Xf+gYcnTINrXHWySXsx+mwFxQYqmKEVSu4VJXKF+l8HQo32cec5Sba6JZP7ITVD/5/FzaaguEpCva+5uzGrWda77MjPRbf9c5DvrRHLOsKHnSLrrdbnHeKjOohCQO4Jj1XNmPFgpJ+np79Se5e6Hf78d4PC6Kx3Q54sOyAD2q/jYcDmM8HsdkMonLy8uy/SyiebKY0h2mIxKyiECkn4mAUTGVJ0d7+kyr10RbtK6tLhFPSpzfQmK9S/KgYikb0DO4WMLf6qMIKkdkp6LlTFh0UIwiadAkMo4/19cl51waoLyITErSGz4jR6TsAw1Pv0mMGh9fK6bcWZJg2Ubj5y6RNvm0OZn8m/OVF73obOjIGKCwtKAf1mXznLKkIVnkXUGM9HOJhnqhPunavNMg60fux/n5edny2el0SrDCs0SUHfd6vXLIlO6lTFQWoUOmjKgP5AKVKDPXfG5Ue1Kv1ysvRui8TiKnq6wZaRIvLi7i8vIyRqNR8VpSetVTld6zBrzb7RrRzPF4bLxFpAnMCyq6luUPGptAhVYNKSu42tJYs1JGNOuVXKFWKiWjoHHmdHG32xU55t0LmWz53FxK4HNIdqeIWTLJUS7vyfXJHL1lfWBdU59zYYvROR0hQdI9NYYcEfOZdBB5rG0ZRJYL22iL0nMfNYeSvxxujm61ys91BOpn3pqXywQaD3WCWRxtITsR9pnRaa4n8379XZkVX/Kg3vOtRzmj8/PzxksTiniVaUREOUlPf9OYcy2f86Ryxccyj8+BaqQrI+LKdS5iMw1XJCgl4MZ1KiT3J3J7F70g00EKn8aXiUTPYNlA+wNZA2LKneuuGhPJNy8AMbrKaTS9NVN5rvgTbSTJMgvTtLYUMKfVkoFKPCTLNiPMEbOu09/YPy2uZYImAWVDiXgycvYzzyfvz8SolDU7dRJTvi//ZkaiPogcGQmekm/Eh+cM8Ho5+jyHEc2zc+WMuSWLabn0nZE0Hb7mQM/OdWWWR1iK4DxyQZylgbaI/5SzzeUa7sCQjbN0yFd5VePVWoECMAY5zPj48gTl0aZrnwvVz9OlN1MhPC+gafJ5eI3+JiKQgLOHb0vhuPma9a+2yJPbho7H4wfpG1dKBaZMIkiSt4ifk5+jt/w7R700chFhXhRoyx5Yt5VMVBcjKVBuuR3KM6eOWVkVlTGSykSoZ6rvbRG+rqe86FCVTVBWOVrOsmEWRUKhbCjnHDmTdDlWyYX1X5IN55vRPl89PeUA9DzWUKUPu92ufEuJ7IABCUsynOdc/6accsDTVvPmoly2Dy5AUx5ZD0Si6qOi25yNsXwhO2absjuNS8EB79Ez+UIWt9fVRlXSVfSmgevdbBEwDZ4r61TIiKdFAW5aj3jadsNoTxOsQ5yVdnOzNj29nsv0kGkLU3ZGOiRBkq0+40IhywIknDay02eqXefaL0lF/2b0wqiExMnxnSIrfZ4jVv47X89nMHLW/DOyJzFzn2ZbpJf3betz7svMURRf+SShcfEyb7Rvi5BziYJE1SYbEiTvy3VPkZz+n0lX89hWS1VEpz3vOogn6xAdO+dScmDphPpPh8QyHGWifnBOOL68XU73MgjS/JN0Ff2rDclI9+nvak+RKss6JNvcL70rwFf9a6LqPl2mIzwHlvv4SCiqyeYVSW6R0WSxQK5alxSNb+ko1copqiIPvXOvFWcSBkky4ilKY1Qb0UxPc/mCCxdtW9v0f90jxc6ELkNhf3SvPlf/8rWMGPXTNl9yDvkZUmiuSEsejMY5Nl0fEaW8QBnyHkVQNAaSMjf5s/TBPmoumMGwVk9C4JYlOiH2idE0I03KT5mU2mlLWdvknueMMmmbE2UDzBa51a8tlc8Ruwg812/zNjpmmFmPc9BA3VXdVkczauzSab6yLxvNmQBfIJJsRda5nJOzSrXLcoUiYzoqBkO1UJV08zkAXKASIbLozm09miwJiS8fSKhSnky2InTuNCDpKj3ht1Dwa4HU/2wwmSRz9JjvoXIKOb3rdJ7Ol2U6J2PXD7cAfWz/riDilkLSeLnAyLSU19Ag2D+R2imHk8sVp/7e6/XKnMgo1QfNHbfhae6kE2pD1zMF1WeMGnM/mJZzvkm0lD1lI12Q/krPcpmB97Bur3vkiNrmj8EG/835aSs3sQTS5lxJ9CRfzitJXO3kHwYislsdTM4ASG2IiKnfDGByzV2y4v5hRujSX/GJ/i/7V//IN+SfmmWG6mcvcB9rW7oj76btHPr+MRKuhMUXETipjCIjmmcE5FosN3pfXl6Wly60YEfiYy2aqSENiQZF79lGZlRUKY+MV06E3jund1yMzN6aRpvT2zbyZ2TbNpa29hUB5fNkSWa57JAdUltfuXMjlyd0/SkS4PWnZPKxGjAdDwlXOqdyVtsryponzRkDgba0n+2THNUeyxrqAx17zqRyxKf54VzTgUvPcraTnW/Eh+cT51ePeZ12Bej8EmYmnAfdk21Bv1lqUaDF65TZsvyhvvDNOtkIS26sR3c67ec6fy5UI93tdhvT6bQhPHlFfi2OJur6+jqur6/j8vKybMNaLpcNj8ZV05z6C23KpH9HPEVA2jfY9j1rirxyGUFpKeuKOQoiKfJ3W1mAip2jDy6I0bPnNDWXKnI7SrFy3Vn3kwhORb2MqLj3mUbJdJ9k1xaxnup7TvVFIFx1b8swKNO2Nhl1qkRBfeHYI5ov0vALOzVO6gTHy1IZI2H+MFBgVJzvV9/4XO6YYfu5BqzxUkbKqNhnbrWSbPQcORNlktvttvFtuiRe7oMdjUaN9RM6kqwDGiMhglRJgdmpOETbSbWQFvFU/9W9WmTk6836SiFdVwvVSHe9Xse3334bvV6vDFTRkiI8HTQzmUzi9vY2rq+vYzQaRafz9EZWVoq8E6ENbZNKY5ZnJunyLaL81TOKCPn6LNMWpku6lvt882KcwJo2/yZSYLlF18kgNC5F9CyL6Blc8eWxmERO/fVvLmSxnJNJQ/dzjDTyHDnn8kouA5C0dB3LDqwp81kkHvZN1zGS3263xSHlcg2jIu4DV+bBeifXAXJNVZDh68sluaAoR58j8pz6M5uQnlE+1HvqIMemPraVUXJtmFvJpO8iLJ0ipoU89UFjvLi4aJxjkr9aPdtnm+1yjNJ5Zsq0C8lL93LhjLqk/is70ZupNfDZSVcDXa/X8fr16xgOh41vwZXSKtK8urqK8Xhcvk5dguTiDaMUptYUNp/PCIGelKlf/hoUER3Jg8/a7/flO5Yy6TLiaqu/5TqYoi0Rif6W02nWufRcRiCsdek+jZMlF9Y828oQJFH1RePXbznAiChGoAi0rVygdpShkFDaasAkLDlGjY9kzBSU6SuJN0e66iOPEVQfcwbCsguJV8avfjEbYR8y1Ge+VSUZUuYiDI4zZyfSI8mdOs7ITf/PW7LYBnWJctfYMuny63jyWdEaj0hX29pEbLIDgSWF7DTUX+oVnTdtRH3X8QCKrlW21DrBfv/dzo/Hx8cyFh6Y1TZvPySqlhfevXtXjkzke92aUNZnlBKJfLhKmw/RIMFlZafR5II9U215Zn73FKMqRgjcTcFFnrYzF/hMKgrT9YjmK6YRTyktPXr2+oxqWXvWs3O0y607TLEF1nwpR9YF2W9Fr3Qoem4beXFMup8OpK3Wmgk0orkXWMhkz7nXj54jmYrUMtnouXRsnGPqQk7320iDhyupr3KilHWOcvP8co71bD2DJSGNm7rE6D2XQ9hfpvIcF+dXEatsUvPJHRHKXGlPdI6ykxxR57lXvyhPEWrmA+peRDR4hQtn0kP9ezabNRb2Pjeqnqe7WCyi3+83vno8p8gS6HK5LFGNvFGuIeUtO4x6skHS2HK6Qm/OY/7ypLNOxrZ5DZGNgmAqywlnsV8yySk400JG3yQ6Ek1E+2p4dlj5b5no+W8ZIGvYuib3h8THtwZZa8uZC8fCKLiNLKRLnIecDUl2bX2TnuW0OreVMxVdk7MpyU39oYPMusKxsa08FpVscsSeV+NFatq3zPYiorFVr00f9LyMrAfURzlukbnI83A4NL74lE5OfdXYuM+9TS6ULRfS9XXr+jv5grqWHaf0JiJisVj8NBfSKGwJIac4u92u8QqfhKjFNx6InN/3botSlP6RvNrSb97He2XkTP31wkY+PUpFfDoCEmd+RkTzEJec+klmapsyioiG3KhcbZFCnofcDyo3r2EE1VYPZFTTlk63OZv8ucgkEzf7r8xC8s5OT9vN+v1+w4HlDCPL4FSfMqgXJBk6x5y18F7+PuXcPtYPZiV6HqP2nD3JZtiOiC3iw5d3cjTNbWK0I5Y1qC/ST96rCL9NN7JMsr3mFzEoEwYq/DbsiKfjJWUTjMQpI+mYiDrrx+dG9UPMOVFtqZOui3iKYES6eUNzjgiYGoso+dXKaisvFmSHoP5p/y6jIW5rYzqZoyHuVGC0laPsnBJmY8uRdY4cc2TYFnlTeTluGh4JilEX26ERau74Si3LLvv9h9ugZJiMdDLxc5eG+sY3pWTYQl5Uo4PMi07MGFgm4ssRlBd3ReiwbC0EieyzE+BYSNR6JvUkR8in5k1Ep3nKb9BxfjJyP/KCHMkt79HlXl3qIccuO2Ep5Hg8Ng5HZzZGglU7aiO/garx8YcyVJCm781TeyxhMCqnUyFn1Ny5EPEj7NO9urqK4/GplqoXElj7kbLTe+dIkJOe0zBNLM/e1PVt5zTIc6o+pP7xnE2ScVbOnBpqwrVQI2g8ebFCC1FM4SM+XNhqex6jUd2TU0qSgJ7PVzxlKNlZkBRZ+6bh8y0+vT4tB6VnkwxY+2YNmf+OiMZKNOcir9yz33yhQnLl15XzXpJ73jJGQyWR6DksFzB1ztFjJi/dp5IAFxRPOTndI1nmCFm2ooAiR885e8vRpJ6jz3ngTY46GShI1xhBqz1mfPlruKjz0qtc1mP9N5cWct1Y/WBpgbX/tgxMC3+az+Vy+dMsL2ifrg4yl0Fox4IOEybhauJIADLAiO8mQVvPdI0iNU2s7snpDXdDaDWTiySM4hjtklDofbOBRDwtYEip26JYjumUATJSoaPI9d6c9vF56jfbkoIrZc4RNWVJx0WDobFwl4TmkaQj4+j3+2WvK+ujnDcZQSautvICHbN+89l8cYMRT164ZRuCxqHrtC+Z5TESLUmdz8+lCZJDW4aSU3A6MT5XnylyzOUjXs/MMttDjgQzObfpJa+lc9L4JSc5GGandHw65nEwGDR0iM6YTkw6J76QzucdNZIZD82SjPW9aPv9PqbT6U9zIW2z2cT9/X1MJpPGaiaPbJSg8qIaDVMTw+hBBxizOC+BUzHpGfX7Y+TOiSJRswaZDZkkkOtIbQtejFbUpzblziWYiOZOBbVFR8D2dL36mKPkHKFzDFxAYj+Ftho2HQKjsZziZaLneNrS2xw5s6ySyzt6Nu9naSUTkPpPx0s9IfL4WZZhuUbjbkuX9XlbWSmTJcedyY5bxvjMXFZh3+k09O+22jAjyKzb7DPLD8oUSYa0s7ZMjuWPrFfUBWXEbedhdzqdcvQj5cRatMoR+/2+7Lm+v7//aZGuBKvywmKxKDUyFrR1LVPFnJYwOmPqn1NUGiIjzEwy7GMmQhId7+eCScSHRwdyDNyi0rZPV2hLmdkPGRjT3O+TDjHdVHtqU0pGR8JV8Ly4RTJjDUwHkEip1RbrqpIvo0k6SKasIiimw/r3p0iXxs3+cO7VL13DNrT4wu1MXKTRa685GtaYmfrqtxb4WDaTrPMCJeeJJY82MJoWYZ5a6+D4s+5yjPk6LUxJL6kPAomS+kV7yPMsko9oHo/J4KCtrKDg7PLysgRful46JWfOsVNmapeHbulLcbPMPheqLqRFRPmaHtZQ9cWSEiJJVwqZF1WOx2NDMTmpmcQZiWUCpoeXV267J9/HzyM+fNWVBMvr26JGpkVCJn6m6BEfRu50OqzJ5mhYn/NLDLOjyM6hLSrOin04HBopLmuem82mlGmy7LJBKlJk+sm5zwattiRDyoB6oX8zKmJZ43g8Nhw9+yGS1q4ZngnBbVptpZi8cJX1pC3ylVNklsW5zyUijTvrVyaQPGfMOBit62yRvIDWFpRkwuSc5OyuTW+yPeXSjvqol6cuLy/j8vKy6JMCGxI6nykZKrLlHIuD2P8aqHqebkRz68xutytf3bPb7RoF9LwoQG8ngWs1m8TEHQg5XczRhKDrtEOChxyzXiUFYFqYCVYRQlt9TX3gomAmc12vUkq3+7RNjYYn4sw13tyfiKdImqv/dDAk6DwWRqCMXNvILUfiIpy2+lt2MpwTEmzbirrmRGPg1kIRkPqZn5WjX+pb20HcjCQZpbHGnvVVOsK0XKScnYja4mq/7lUfVePOdW8tQGnM0gM5kDYdzLqvZ57KsriLpK3Uk+vsh8Oh7KHVW2hauGrrC3VfOkPnJDmRcHUIlsZJp6f2ZIP6nG8Ttm3PrImq35HW7/dLPTciyuRI4CoZ8CxP3q/0Qm0cDodyMpjeAac3YyrYdkaDiIYbrR8fH+P+/r68hqxvr5ABiaQYqevvPBtYRpCVNddw2yIBRjFcaJTx8Su6OY62SEekxzqYnstTltqiWWUlkj93OujzvGWNfYmI0mc5VUZ/uSxD0jp1risXN2V0jFpEZLnEQMfHVFx9ZxvcC02i03i4fU2EnMtgeXwkSy48yg7yuQ45heci0mg0anxXYK/XK6vwmlvppQg117OzDZxy1npTk1u58tf4sGaqEsxsNovpdBrT6bTxQlNbSVH2JN3Ki2V6nVg2KUejezS/jJI1L5pPHviu0lreiVMLn510Jdzz8/NyiI2gSJdpFb+wjumVIjWed6uIQm+wrVarmM1m8fDwEPf392Uy6eG4UVqEl/fzqW40mUyi0+l8QLycxOVyWRRAyq4akRSIe1m5FYcGyzpnt9stZDuZTGIymcRoNCoEpmPrqPB6q4aeW8p7eXlZTmzTvmUejSklZOqbCYinwel+naHBNwRFsKzvUheUzVAuWeFFsPnbCyhDLozklHE4HDa+WonQPfo3jV6b6amPXMzjq+L6NmrKMr/rnw9HlxwVPOh+Hb7y+PhY/k9nIXmMRqPGKXxXV1flCNLd7rs3Plku0BjVBndSMEvIMpQeKcLUPTwjVzbBhSwGO/f39/Hu3bt4//59TKfTxqE41FGVBuhwNcabm5sYj8dlnOyLgpzlclnOVWA7XBCWjqoP0glxze3tbWNH1OdGtUhXpHtxcVG8uWpHilykQPJqjOikBFJ4FtMV8SwWi7i/v49Xr14Vkp3P5zGdTj9IKxhhRnw32XIA5+fncX19HV9++WX0+/3yPKblIlcajtIYvTWnNFHOQo6DuzWY+qiGrWeOx+O4vb0tctMxfqvVqkQejLYUvVKBB4NBjMfjuLu7i/F4XE63oqNSaqa2qNAiEhmcSHu9XsfDw0NMp9PGIhYdSMRTxEEik+FIFnzTjFE+I1xdy8PlZej5+/ZEovlkOPWP808HqjZYWtC/NXdyhOPxuCELfe1URJQMhfrJzEMEouMJV6tVPDw8lAidTkvykN5fX18XR0zSlbORvajfKktQ1nqO5n673cZisSikJL3l8aYi/clkUiJOka6eo9f0tVPp9evX8ebNm3h4eGh8rVaOuGnbx+OxjOv58+fx8uXLov/iCennfD4v+sGSkPRiPp8Xm1qtVvH4+Fh0gpkDSbcGqpHuYDCIFy9exOXlZcxms1gsFuUzKdZgMCinjF1fX39Qx5TyXV1dlZSbZ9ouFovyNe/T6bRR+8v1JNbi9PeI5uEgdADj8bgooBSVp5GJ9HW+RPbgEfGB09BEM+qUQlxdXcXt7W3c3d3FZDIp5QV57nyMoKBI+XA4FMK9ubmJu7u7uLm5ieFwWCJzRQAiSBqQyi3aB62zUUXa6kNE+6HgaifXAxUF6hhN7s/mNVzx1z0kXZYXSLoiLf4wdd5sNo1Vb0XmrLOytqjImpnHs2fPiiwli9lsViLo8/PzxkH4InfqgCJdka7mVqSnXSHKVMbjcfm5ubkp5Cei3e12Je3WPGiNg6U5zZnkoLmm/rB+r8hcfZhMJnF9fV1sjzYRETGbzcqYVU6QPkjuebeOnsvg6vr6Or744ov48ssv4+7urmR6zGzlmLUFjHqngE7Xql/aJ97v90tELd2qhc4nVu1+sCU91ZwyCZaOdJp7EnOxnde1LQqovbxyysWET61Qsnjftnqbn8VnMpo5tWjHMfLvuU32o00WfEbbz6fk2vbMtv60tUUZsIab2zo1/lP/zte2/f9Tcst/a/t/NvK2f5963ilZfkpWbPfUGNpkmds69XOqHf3tU3I7ZSN8RnbwH7O/tvrw97U9PYNrIB+zvzbZ588+Jdfj8Rij0ahR6/4BcLJOUY10DcMw/oNwknSrbhn7vt6u1vM+hh+iL3nR4D8Bp2T+7yCHf+e+/5D4ofT2x7Y/ojb3fPRZjnQNwzB+cJxk8Xqb0wzDMAyTrmEYRk2YdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqAiTrmEYRkWYdA3DMCrCpGsYhlERJl3DMIyKMOkahmFUhEnXMAyjIky6hmEYFWHSNQzDqIj+Jz7vVOmFYRjGfwgc6RqGYVSESdcwDKMiTLqGYRgVYdI1DMOoCJOuYRhGRZh0DcMwKuL/A9Xhi3wlIe7eAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 18\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 19\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 20\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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qUYtiDHAaI41dVu9MU0lq/CnSzCvDuS6osaR6ZS1N5QWq2Uw6mnsGZCpW1gz1vs6rc+bFNJINSXQ8HpcSFWvzw+GwUfdUv/kz1xslIpQdSHVykZK7JdTuNvI5N+8s85Bks71RqfL8DHpqJ4NZDoasoTOI0dZVOhDhbjabxpzTD0WSDJys57IMwGtrnLR4mdVvDiQaQ5G4+EDjWQvVSFfbQobDYSEAGbQmjCls22INyUqRXik/61Xb7baR2ue9fVIcEVGMirscWPdlHVPHM0IL6kuuGbLORQdn2sN6qX7X+XOqHdFUPkxn5TARTYUqdapdGFldMv3WezltE3npetnwpTKkfnhOHZdTee1m0M9cq2WNVuTCrUB0TCpqjo/sh/PSpriyklQwl1OTLFhjzjVPjX1W45lIOT/sIxd+CNpczmx4jRzoNR9ZTbINGjPOpVQu+0VfoK0yeOgY+pN207C0xmxM86PdI7QdXkcEmcmfNpwDMbM/2jxLk9mXPzWqbxnjgIkINDEiJ9VYlZ7SoRituOGfSlSTwNSQq/y5PTL69XpdtsDkBTyqFKpulhFyzVD901YckVpeOGlTazqWpMnrsd0c1+x4mWg0VpkA6VxSsJlI9DNfjwFE80EiY1pNhURy5OITCZrHafcDA2pWWlSM2alJDDqOyrmN1PRZtYc1Uc057Y7/zyUm2gf7l4MCF34ionFc2/gzuFK4yGblB3rJjmUfsjWVKkjwtA/2KSteCgfukND+Z9mwzk97olASUdKW6dPKDh8fH8suCo2x6u7r9bqhnrWFTH2nfXB+aqHqzRGr1SqGw2FDUa5Wq1iv12UfoYhXpMsiOlNfpbMiwKxguNgiFZwJiw7Dmpp2QVxcXDScNCtNpsRCDioyPKWTnU6npDciGRI161QkbkVi7XPMtWP2iW3J/8+OKycn2b8PVElqR5uKiIhGjY4pKsc0K/28QJbLLVQubYGAC4MKbDp3XmzM6W1bWzmXUqUq5eRa5zlQlWZ74meZGZDAuXDFsZFPqDymDJJBgu0jUTNDUJ+0T1bChlmXIKJi2YHjz3puXkRj6Y/90fh2Op13xIX6z3pt2+4G9VG+In8ROSuA5IxA5Tf63adG1WcvLBaLGI/HRd1quwgnhSl5dhSBpMttVIy4TKNymULIhizj023FKktEPBkiC/syAqZYMmT2UYFFpEKlzogc0SQ1nVP7mrmAQeWVnT7XQNX2tvIGFx2ounLKqvPmtFbKJatvKl29eAzPSwcjKdBJeD0SbCbK3BcSKAMK1wrygiUVcC6R5PPmbElt4SIOBYDOy2xA9sUyUSZ09p1pNImOPpRtnSUdKUsuDIqUMsHpHLnswT5SuR4Oh1bSbVO59EPZOktCao9AkSPSZf2WZT2RuM4rnqD4kN/Sz2ugqtJVCqHJ1q2TIigSrKK9nGK/3xey0g0J2vzMrVA0Lhou1WnbHVqauF6vV0iSK9Wq93F3AxUIVSlLJvxd12SZQ8TbtnuB5yUh6Li2xTYSkNqXVU8mmdFoVMaC6inXdTmWEc0yDtN5Xl/zp/oo28tAk4Ohfmai4U8GjbZVdrZVbSHJqayRg2gmc/WtTdG2/Y+pcN51ItvkLgUdyz3hbbbbVscV6Sp9Z7lA/WRb5Ye0SdkE25G3MEZEY/GJL6X4ynh0o5Ey2Hx3pMY0Lz7KFzmuh8OhsRAovzscDqXuLoHGHRlqh/7PMkm+tZ43KNVA1Zpu26KDiIX1tohoTIwi1nA4LA8Bubi4iNlsVs6j+71zWkJH533/uu2UtcF8e22uO45Go7JNh2WNiChBJKd5TCe5sEFn5QIKSZJlh7wPVSAx0ImpAGSMrIvLgLUgKSXW7/dLiqf25znMBEDSZT84h3n+VefNpELCzLVbjY3shmWMHHSo8kUGbBf3XucdCAwqSlP1O4MXsySCW/xE6FygJEHIVklmJGmOI8ecbWCWledYn2FZQp9lHxRUNOeyAWYu3Foo4UI/4FhTMFC80Fa5C0OckMthaoOur4dKSbzJPvVwIir0XFJTtsU+tXHSp0bVmyPm83mjJrnZbAqhkqA0CNrOJIU4Go0aT3rSFh6pXBGflBCVLX/qWKUgEU1VFfFuKk0C0VaiTAZUHKwTiQCk9mgYdDY5oQyGkV+Kng5JA1IbdT0STVaSDCTsDxU2j2UZgeqVaorjlceSJZS2OqCukxU6d29oLNsW/vLCWVaG/J+Ol9Nz+xCziEw2IiWSvoIzCZV2ksdXpJd3H7D/bCszvjxmzLB444t8hbala3MOuGLPAKcx5g0IKqnpuFxqyLsE2kpQ9CuNvTJWZmRZXHBe+v23d4VqfDUOvV6viK62QKPPs++8qeonu3thMBjE5eVlGWBOKqNcRJMU9LcK/Xpc43w+j263W7aZaMKkNDUBVFm860T7COm82VjbUlaWKWisdCCBZQn1T0bHmzmycel6CkYaL63O6n3WsDOJ8Ri+2Be1Mbdf5M9UjYpLY0PiJdnmduk6OldeGZcK4hjTqXVtlgtYt9c4c750Hn1e7SKR8JVruHJQ1maplpgB5FIP1Tzbwhour6X+8KWx4NhwXFmqkm2IeLmQxGsqVReBRkTpF0VObifnhNlDHmP9nVU250RzpX32WrxTCUK7mCi0aCviAT1iVOfMD6/hOlDOfDU+2o+tMmUtVLtSr9crz8zUCiONMqJ59xiVQrfbLVFJTxIjgbI0kEk3IhrEK1VChSMCJfnxWKoJTmxEk4RJRlL0UresCfI4XaetfskFQBILyyF5lV9/Uw23KWI6S07p8jH5f2xLG7K6oQMzTdb4kvB4XD6ffld/eVwmA362zb4yOWQyzCUg9Z/XzKWcc2OX09y2YzhXXG/gOahutT6SS1q6FrMEZipUdcoi1R7Wc3PtlpkE28zSBrcl5jo/sxEJDvkgF1G1LsIxUN2WfYuIwicR0bjNmOsR5zhGPjoajRoCrwaqPvBG94XLcNoWzTT5vJ9fxsB6KomJUZ4EFNHcSsZUjQSSFS4XEbi1hvsgczrFRSlB55XabStdsAyQSfJ0OpU7mmjIcqCcapNcM9nQsPR3TmHzKjwDhQiGxJVrrlSjOc1kO1X/U3tI9roWVS3/36ba24iM7ch2yGDHOnSet6zmcvkklwM4Rzmosa0c/zZFmgk/Zy/cWkfSVZktK2Mqfdmjspk831LCfMm2aa+axzbf4DhTKOSST55TiQyWbUTq8nP5M9sqtawSHG2btqDx4FqFeCkr+0+JqgtpEU97BZVKcAU14qnmQ5LlcxBkbNyaxQibJ1XXkzLQxOQ9vW3pJhUlDUt1OTojCZcGLDWRFXImmrxAw5+M8mqXlHROaVmiYdt4S6t2TLCWxs9qDLXgw8CQFbqQf5fD8JxU4Gwb6+JcmNJxeT+yxlNtocpvUzZUwfqdO1E0V9ke1CeWUGhbbDuVJOuenGsdq+MYoBnsc8pOm9T4cT87n1ina7cFKNpmnjPObRY9SvHbyl/ZN3Ifcyapz4pE9bvWYnKNX30WWSpLVnlBZZE8TrIb7kza75+eXqjxy35YA1VJlwOn7SRMjTqdThlADawmnAtIWvUm6fIzGmBB12TE4+c0Sdy2Q/XI/cKsVeY6l9qeDS5/jg7xoU3ZmXRzPS2nctyG1aam29SY+qnPCXQWkkHbTxIE66cE01l9joTLeaIDaj7zHGhu9aIKI/Hx+RLqS1ZybYqYJJfHhuOv4MXxzQSdnZuptv6W3TEAqi2cMwoJkoh2+DC4t2UMIibaB1U/hc65B0lRSXMO8vjrHCLiiKcFbyrS7I8UCxojEbUCpOZG86l+6Fi1U3yhckO+1Z972GugGunScfJzDrQnlmk903Ju5dEgcoO3FlW0jSXi6bZFHs86ER/+oknmA0VYs8yqoS0tk+qRoqRRd7vdBlmQtLOD0VmZyip11J5dOUlWBmozSwDaHse0NZcxeC06VG6vVIecn46bX1SIuqYMnyvnCmxUtvkxgDlwsSRCRSPo2ppH7s3MQZEq7kM1V/48Nz5Kf/PY6DMsOWSiZhrf1hbW7fMCmj6T54HIRMvxaCPcvGjaVhbIPsHMbzQatT7SUV8iQJ/WOXQt+SMf7KPnh8iOqOyZYekYbkfV/9Um3u36kyRdORbvNMspuwZSA6hB5wPJ+dlcnqDajIjGQ6dFbjIaLlBJRXNFVXtXNXk09rwBPaJZAyXBkdjobOpPRNMR9L98cwfLMmpHJke1g+dkXastjWdKrvf4PvcZR0RR7nKMTGTn1CBVSf4/201HUaARmCrqWNY4eTy3eWWSaRunXAPM1yHBakzkyDm7UAAmufO8HF8qNo5LDsacrzZ7oD1SCFCsnCMWki7XNVj3bgtA7D8Dj0on2hLGpwmypMVvb9HYUgDlmzRUHhDy7fTKFFTXpS0xMyLnSOz9JEn3cDiUB1+QZJlisJ4k4uNXI3OSRbp5T6wmnWosTyjTbZ271+uVr/vRIyNFxjIwlTP0noxMbeKLRJWdls6jNpMQ1J6cAlI95vQ6q+82paN25LRfaEsXudgpqE1URBwPgjU9tYHtp+JnG9tuZ80pvPqqz/CYiKfnVMjOqARze7LCJ9gmvs6Ni2r+ectjhs6b32MgYru4AMnaabYPkj0XK7NSz/Oesw/6FG1JypSPDOW6isSSfEljxfMx2OS6MzM5iiSRtMaaZMsdGYfDoXxxqLJfBWaOu7hD56+FaqT7+PgY9/f3JUXgQogeFK4nfM3n88ZdZ0ot9NXQVM18elg2pgxNMEsYMtr8tT/5gRqqQVG58KYC3jUmoiKBcRWW9Sa2gcSQlYdKF9zInxUZz0EiywuEVKl5r21ENIIDxy0rmm63W+7SO51OjZtPdD4FP503p+Q8lulrni9mElxE0Zzk4z90XtlfJj2u9vN/+Y7DPA6s4yqwtQVBjnkmZQbabKdqd07h9WAa/Y92w4CXMy8Gh5xdaXzU3lyeOR6fvpNsuVw26qMKBLpdfzabFb/YbDaNoNcWANp8lupen+cOB+25VWlBc6Zg0O12y5qR+qMSlp4NkbOqT4lqpLvb7eLVq1fR7/fLw19UXxF5jcfjmM/n5QaIy8vLmEwm0el0Glu1FGkVbT9Uk+F7eaIVKfOD0blqnwkn4u2kaheAyJWpHiN43ufbpnKFnArmiM6USu2i4/OcOW1l6SZ/9RBLL1zIoCJV2zXebel7VqWqZ0c07+LKNU2qNDoG644RTw8vZ/pOUmdfWfpgiYNpvpySGQSdW3PNhxjxiXFc/FJ7eE21R+NKoRERJZsSGZ+745B9bWtvLt+wjxIObRkRr8NMiEKApEvC0jdaK4Pl+KuPk8mk8Q0iXNTKfnkOsjuNY6/XvIWctV/Zpc6pUoe+oVj92u/ffkPy3d1dyWJr4ZOTrgZmu93Gq1evYjKZlKcOZbU7nU4bCldfDCmjiWjWtjLJ0eEFlhf4v4gnQlNkZk1XtWGen/e2H4/Hckvi8Xh8Z58w+y/nZukhp6UkAJ1PyoFKiIoj4ukee/Y/O6YchWTFhUISKz+vz/Z6vcY3aXBRIuJp10hWxwJJMdfY2tJj/i4iobrPZRgFR16v7Xxql46VuslkxXMz6FLtyqEVwLSeoPPkAMRx5rG59ss5yaSbSV1BUeNJgtXCmq7B+afd0T/kj8wKSLp82AyfJJa/YDUiGv6kbW3MHDn/vFYufbH8I7LMNwXRR6jUxRlqPx+kzl0yCqS8zqdE1fLC7e1tKYbLOVl74hO85EiaIH77gX6nAhVyHTPi3We40tDlHEpR9FIbck1TUZGb2qm8c3si3q3pZkNvMxouOpIUqEpy+tpmwCQe1lY1vqxlcaHq3PERT1v/lIHoxa12WUFRKTOY5Joj03sSIPuTgwyzD/3NazLIyRb0edZKM1kzVWW2kndKaHyywlUb8vGyP22F0ljn7CQH0nxe2mXbOoJS6qzeda0MihuOO4O2zpef3cuyjuZHj3GViFmtVu9kO7TRcwtabfPJhXg+5J9ZG7e8MSPWfKr9y+Xyp1leOBwO5UsUufClmhSdknvxWM9V/YWPgczpkn6SeJnm01h5PG8L1GTlc+Z0lgaewfcygXBM2vb+qs1taZUUV1YwmYS5aJGvTWJlasqSSM4MstGrXWw766Mcb72v+WIayjayJs4STB7/tnHMc8HzaMscVRDVJ0s4JHaRCGuKHG/OAQlQyAEoEyrHgGOiNvI4tYNlhKxgRSoKELx+Hr9Murncw7bRbtpKVix7sK5/PD59a3W+WYS2ofF+n3jifHFRe7ValXOrNMJFslzu09hEPN3OvV6vf5oLaXQ6DQSVBqOPDEoP79b/V6tVrFard1ZMc2rDyKnVTBp9Nqac0oqANYEifqWSqkPzaWNZEWTlpjGgMdGpNQYEHYEpLv+XSVvvyQiz4Wb1+L5UKhNtJkEu/rR9ludg3+m4mpe2dFEvLuaQNHKKKqVEctC4Sc3mPuT2ZGIh2Oesqpk1tGVbeWzaCKZNqedAejg8PaWMgYpqNmcwEc1v1s6lilyKyccwG9X7mjv6MctWakM+fx5P/aTf5T3BupbGgltGuVgosab5zmqcIi2TeNt8fypUJd1co4poPvcz4ulr2SOe0kUpXRXkuZ2I9UgpY6agbUSUFwtyyq/PK/VlCUB3yXHTNklRxKjJ1ItqkmkkST0TG4MI1bXqdSSUTKhZrdDg6Vh0YPZB456NMS/o5G1juTbK6zIQkRQ4R2oTdyhoMYS37LJ9rEUyCLY5b64Hk2A4PvyfsjE9eCVfLxMsVSWvwUBJu+L4cDzaAgRtKNu3/peh+W7bh5tLKnqPNyiwDxrvnCWydBHxVC9v8y3Wo3Vu3iFIZZx5g3POh1zpPQqZvHagOyLZ/nz+GqheXtCDx1nHzXtjc1qXFwFk0FIvJGASCm8N1P+4ZUsQkXH7mQiWW27UbhkFlUPEk0EoheHzenOQoKPKcM+lqRHxjkrJ9VK28ZyzkkxIZHQmBgouRkhhsZTR6z09Zo+7ULJapMMy5acyo4Opv7QTzQWJlCnjfr+P0WjUyBhYLuL45VSYO1WoVkVKsgGeW46bbyKg2iOBMTjL1nIWkecx24nmluN6PB7LHLaVXqheRW55MZbHsA5K8qONn5urLGyyXzFAcF+teIB3w7EUQZ/hnLBNuYykc1Npc0xph9rZUAtVF9IWi0XM5/My0NrLN51OYzabNdLHXEdjJOX95SK2XK9lnY71PCHvSeQeWhEKa7tUZjQ6Gi6VBttOJclzyPFzRM/RN6d8ajMJi+3S9fmT0HX5BCkqMF5fhMPgpffooDpPHudc52PNnjVeKk21Jys0bs8S9Pm2erDaq3bmlX8+V0A2wZV1qlkpXRIv50WOnVPznDLL7nL56RzhkjCoSFlLbStlUYXz9zb1n4Mxg0WuxdI2SOYaL/k6H2bDHQcMyOQBZY8s39AfGOAUSPk8aipw/U87kJiRyr6Zld7f3/+0FtJkBNq9cHl5WR4aLDWqHQMsiOtFJ+p0Oo39pTqHIhUdguULOWBOfWkUbeTOEoOIPeLdgNCWfuW0n7XsTKpUKLlkQoc4pzbUR9bXdBzPk1NUvZ9v5sgExv5mRc1XrtNTIXHsRbgMUkxNuTOkTaXqvGzPaDRqtL9NHenvttolyYDkxTS+LaPguLQtfvF6nBd+No+rrpvHj4Sbb2xhCq++8HOEjmkrvZDAWd5iWShnnpozzZ/mWOPJrIn1U44xSZ/t1FzIx8QVKkVk0mV7OFbMVrR7Stv/bm9vf1qkKxwOh/KAm4i3jxdsq6VIteQbH2hwEe9OMp2FBqNz8kXyI2FllaCJpnEx3Ylo3khARUvlnAks1/LoIFkN5wUQtj8TKZH7xOuI8PQ7x51b1ahE28oCEU/fTaVgmdN0tVXBiQsaPA+DQKfTKeqEJQAGHo4V29hWRqKSZnDIe7+5DSmiWRZRmsxHGHY6nUbtkm0UKeqcuWzGh7DkhZyscNv+T/ukXeQFWfU914uzfWW70fjlWvQ5+8/BkP7HOaIijXjKauibnBOqXN39yFIkBY0CPZ8alseR/RMfcQtrW2b4sVH1gTcRUR4wwf2dclwRYHb+iHe//JBf+NemNgT9LysKGmGe9LzKyYnLxzMg8HqZWBRlqRiIXDdj+sjU+nQ6la0wuU0RTZIjqeX2aVU3qxhuPOe4UaHzxfnlApdISc+qYL2XteKs9jQWTCe5mEPFS4drG482VU+n44LY8XgsizIsT5Ao+WQqvS+b5jYtEmJuP+01lxYYdCQINHfqD21FpTaq6LwOktcbCAkK1etJnKxN5/ICj8llipzZva9m3eZ7PCfLFsqIZ7NZTKfT0m9mNiROjoEEAZ/Ixpf6VgvVSJcGE/GU2ut5Cpx4EqU+IyOQA1MNMWLnLVQ5tdf5cv1TW0x0d4qci2kKQeel8VBtKOLzejkA8HwcKzm1DI4PcJeTaReDkK+t/mqMWNeMaD4ukT/1e769mik5+8u7CzneuqZunMg136zkBC5I8WlTefGS401ly7FrWzSlUzIFztkVCZ7jwnFoqxOq3yQUtSf/lG3I+Vke01gyq2vzBdqF7DGn8nm8c3mKAYDtzQu4DIY5qNAu5UPyJ9bKc3uySKDQUBu09jOfz0t5QQJE/WWfOA7Zv/Oi3vts8VOg6nek0VAi3iqE9XpdBoWLMvnJVSqg6zZdpSW73S5ms1k8PDyUbWWZONv2sgpSd9pofXd3F/P5vERU3p0W8bTYInXOvYD5qUsR7349DNWE2kKVEhGFnLTQOJ/Py7eWHo9PD/4hWF6R0elcrJtzYVAkk+urchCmpaq/6zj1lxvyWRuWamEKnYMkg9nxeCxtE7nKuZjZcGuaHJwZE9VZ3qlC1UqlqbHQOfQ+sw3aMe2UKrltrPLKPvvChSfaLQmKpSc+vWs2m5Vb5SVaVLrTuNCmqJrZHmWWOcuj7XBfOh+3ygVU2aDsf7lcxt3dXdzd3ZW99bn0oc/kYK9rqJyglx5GNRqNyvwyGLEcwXGQnYp0ZRPiF9bGa+CTk64GYDgcxs3NTVxcXDSiO5WHSEkTTSUgQ9b2Mhmbot1ms4nValUmW7ccK8Llp5FR+fL3brdbngFxfX0dvd7bRz7qASWM5Loma4j6VgxFYDopt+FwAUDn5Daa8XgcFxcXcXV1FVdXVzGZTMqWrfV63TB4EhdJRoFKT22bz+eNgMdx0VyRRBg82AeN+cPDQ3EobtLPqjmDCikvVoqY8phxH6ecju3ks5l3u13j4dlMaUnErFOrD1yEo12qvXrcKFNcXlvzl2+e0fVJKAoyIqnFYlGuq3FTgNIT+LTTR/OpYLzf78sdn7Kr1WrVICUFK2ZdFBHcAy8/lA2L+KQ4x+PxO1s8Ray73S7u7+/j9evX8ebNm7i/v4/VatVQmLncpXmSv83n87i5uYnLy8uYz+flmhpzlXtkHwp6zGL0YCKtJzGodTqd0oebm5viFzUUb9WvYL+5uYnpdNpQoDLaiCg7ExTJuU9Wziijm81mJeUWCaxWq/j73/8e/X6/pBHL5TLu7+9LrS47FFNwTdJoNIrLy8t4+fJl9Pv9cj0pTZHrarUqk6V9l/q/IqoIZDqdlnEQqYpsuLCiY/S0tWfPnsXV1VVRqSLdczdn0LBFuhcXF/H8+fOyc0RjzofAy7l1LgUPPQhECkv9FfHLAbj4lneR5HKHHI7bf6h8melQ4UrlMKVWdqHH81HZcOtSHh/+lDrL+7S5IKZ2TafTuL6+LoEw4i1pto0V7VMqTHPPFHmz2ZSgzmd4iPBZz1QgFhmJdKWWGcy73W4jEFBdq7SnMdLdnppHtbPb7ZZHnc5ms/Jt3BIiUomHw6EE4cfHx7i7u4vXr1/H69evi/9x/rlOonnXI0Ilqp49exZffvll4Y1MuKvVqviTsizWb9V/+cxyuWx8U7gyb5JuDVQj3fF4HC9evIjpdBqLxaKUFSKeNkvLsC4vL+Pi4qI8xYskoigog2O6vFqtytah29vbMkksKbAOx8WXnJJoYnS9y8vLxn5WqSld//HxsRhB3jnB9vOZwXySGR+kMhwOYz6fx7Nnz+Lm5iaurq6KgR+Px0LATNVZW1TqJbV8fX0dz58/L+StLIORn7VGKQOp2IgmkRyPx1iv142FmPfVDrkAKiJtuylG12/7yhipw3OkK2Wr2ixJl4TLr3th1sPdFWq/2qQ0dzabxdXVVZmXyWQS3W63NUBJmXGMVJ/V+ZTebjabksWI9EX4UtYiWs3n1dVVo7zA9RFBCpDZg0g3324v22HdVSUNPXL18vIyrq+v4+LiogRgka7WF5bLZfT7/VJyykRLm9A1BdnucDiM2WwWn3/+eXz55Zfx/PnzmE6njXIMs73hcNjIDGS/ms/1el1KhBofibuLi4uSfdRCJ9c4Ez7a/gmlP1zhbDSk09zMzUiYj+N7JJuI5vawvKD2IeTIyxXntmvlFdm8Snuu3ef6xiD0vuPzdfPrQ+Oar8c6WL5G2/gI71uVbvtc28+2hYwP/X6uD/l/535va+s/0na+2mrq+XNtY3quD9mG2s71r9pFvt77jj933XO+2eZ/efdL2/i0gdfi4t0/4n8f6tv7xvV0OjVI/SPhbJ2iGukahmH8B+Es6Vb9CvYPRbuPXcT+R6LrOfz/tuVDKvGniNrz+zHxX7ntHwsf22Z/TP/L+HeaXytdwzCMj4+zLF5vc5phGIZh0jUMw6gJk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBVh0jUMw6gIk65hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyJMuoZhGBXR/8D7nSqtMAzD+A+Bla5hGEZFmHQNwzAqwqRrGIZRESZdwzCMijDpGoZhVIRJ1zAMoyL+HyvNXzkwN7xhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 21\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 22\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 23\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 24\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 25\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 26\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 27\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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lkHo2m6UI6Pb2NnmdpI8mk4lev36dcrf1el2tVivpUrvdTjKNF3xwcJDSKUQt5PbJ75OqOz8/183NTUq9eNqAlBZpMHdgKpWKJO0UdZEJcttuYDFy9/f3yQARlZKCoYbE94h8cvn53CiMdOv1ul69eqXj4+O0mAggngoKxwTiceVWyCu7eAAuKAcHB2o0Goks9nUD+DU9n1ur1RIBUNSjCNHtdtXr9XRwcKBWq5VI33OJpBFYZApc5IaHw6Hu7+/Ts6F0/gyQV6/X0/HxsU5PT9XtdlNqYblcplQDaQWPFCBbCA5lxrBBtnhobjzyyi+eCV4YAlupVFJhqt1uq9frpeIeniMK73l4DCbE5PPHvTAKTk6El3nl3TsO3Ptx+eC5+DzEiWz52CjotVqt5JmTauJzEHGe+sHg7JtDjB1rQFoF5wGDKz11m3h9gGfHsJNK6/V6aSykVyqVihqNhmazWfKiuT6e4mKx0HQ61Wg0UqfT2ck3V6vVZPg9ipCU/u1dAqQy8HiR9aurK11dXe04Bfs6CfIIlnFC9Mydy4V3NrhOey6fKMINIXPN85TLZb169Sp5xUXgs5MuE9vv9/WHf/iHOj09TSE0oYiHEPtyK96mw79RWCYR4shbRlxpva3FFwxyfnh4SLlHcm4ePu9rKcuRe2GudHklHOEmtdDr9RKpE8YdHR2p1+up0+kkolsul8kgkEMGOdlISgpG+IeSViqVVCzBo3FjIT1FAqSBWq1WCsuWy6XK5XJKgRweHqrT6Wi73aacMsbFc3OQGx5kHgFxT+YSZZGelN69FS+M4Umxbu4JuRHJWwcJ0SlKkb/n/5EfikoYm4ODg0S6uZeWkwDhMREDREQ1vdPppPnnedAPDF2z2VSv10vy4sU45pA5w/NmHfDyFotFGmceuTAX++Q510nXQZcb0hqj0Ujj8XinuyX/ft5S6XrrJNlsNnciDYjXOWHfuL1bhJTgwcGB6vW6BoOB5vO52u22ut1uus7nRmGe7mAw0J/+6Z+myuFyuUxVYvp38149V1LCLw+B86o+Xh9KLWkn90il23sGUUS6AvDOEBBXcgT08fFxRzg894jhyKvM5KQhOoi/0WgkJSJlgZBRac29UPJd/X4/5dxQVASVzzMGil8oFgUYUjN4du4V8izu3bRarZSyISeLl07Bh7mdz+cfdRTg3XkI7vlQL0h5KOqeCd91Y+1kKin9nu97XtjTGFwbeSFlgDFyY99sNneeudlsph8vJLoRJJpxGXp4eNjJkzNOoh6fb8aLoca7zUke4+BjQs8w0pvNJuWoiYiYJ2TUCTj3Jn2ec7l2Qyp9iAa8drAvqvC1xzi4blFDQD8hd3fOGKcTdx7Zch+iGJwa5vqLL77QYDD4/2C3Xw2Febrtdltv375NXpAXDFggCiwodN4i4oUT93AhXDyH6XSa0gQIlOcInTBZIATUC0kQGNVZyEt6UmQnXYyFe7az2SzluvB0Kbah4OTSuIaHv57jdOJxBXOD5UUkcpSuIJDMcwpFrs2LHr6WpD7wXt04MX6vNu8L610ZmIc8j5fnnfm8e+DuwfGMEIB7tnyeaz43Bkk7GxqcICAo2qx8DSELCDkPyT18hgw8jwypEBLn68gYIF5qDblxzGXGjRw5d0mpX9pbDb1Vr9VqJRlgnNwHXUVP6fUmgkMOkA8n8jyt4LqIwyQpGSW+x1hwEpjTfUAm5vN5kilIF7mVnvreiWaoq/xOebp4p0wghaXb21tdX1+nfjo8TYpeeKruwSB8eLqETHi5PtEsHgqZ54By0uE6EC9WWFL6Pdd26+2khzJ5CxdFQe8M8Dz2YrFISuBk454Tz+phoCs2ZOUtV3nhzJUd5cHb4f4eEjup5k39eNd8jlyn98J6NOH9o5ABaQDG7WkDFBWjyjpiUFnbvAeUeeMefj3SFu7hOgExl3R1MF7mIS+cIq/75spDboy/f9ZDZO4JgXkeOPfakDN/Hq8beFhPp4l71e6t5utMvtg93VxffC2QZ8ZGBOeGPvdyJX2kL3i4/OkRiefoKZJ5NJkTMOvKdZz4PU1ExOnF7yJQGOliyWazme7u7nR5eal3796lXUneWeBJec+9uYV0b8O9LoTYvSx+v2/xc0WjKnt/f58E2ntHvYjnIQ3XQojoiHDD4gU091pyMvSWH/8hf8fvHAghOUPmzHOcnt/250XpEVI8dC9+kFrA08VbQmmZd/dY8xAVovD/zyME1hPFBuQhKQ55vtw9Y0CRMb+eGywv3jihuJfmHjLzxN+RU2+bQjZ9YwGEjjfsEZy3mTFnkLQTc55b9Tw50R2y5j3QkB8dNE7E5NPr9XrqXSfdlRtNlyFPDXlul3XHAOR94Lmn63PObjrWPG8NRF/cefNI1Z0fuja4HrzjHRToMGv1nOf8OVAY6S6Xy0Sul5eXaXPAzc1N2qaXW+I895qTLh4XYYmTLnmwXKn3FQo8dGfBaDGDdMl5urfnqQcnTDwa0ijsPBuPx8njZvydTmcnJ5aH2B7mrdcftkq7IrhX6wrsBStSMTyvt4gBz6f7M0AQ5MKZY7wGzwEydpRhnyA7wTt4Hp7V197XaV/BJM/hYTyeKwj5/OzzcJjr556P+3mPOSSGN4ZCuxHiu3lKhfSF537zMXpqzT1jOktGo5Gur691d3eXjLt797R34QH7eGlFrNVqOjg42Cm6sqGCefPiFrJElIYR8JRa3nGQy5yvnTtFXthzzxVjj0fsBM7a8dxuWEiFOEcwp61WK5F+EfjspOvWh0Zxwh8XAg9TmGxJewWQnj5yVHgR/J3rIFQoIyEnC+G5KpS9VColL4+F8G2bEC9FJw9fc48C4qZXl1DUc3hcH+FyIve2IhTYPWxCWN9Pzv8zPs8749FRjPOCnW9vJirxLg0vVC2XyxRleBHPUzu5Z0Nkwr89x5cbAOCkmYej+f/nufoc+4yM9xjneXHmi+f0dI+kHTLmh+s6MTG3KLoTCrLjFXb6bXMv13P43tZIqo52RDYS8Xyk3iSlnYj0vpNW2Ww+dGMgr77xwecF+cPjZE0fHx9VqVSSd0kEgJfraw2QrVzG8py3rxfziW5DpG48fQ29q8ULq/V6PRXT2PVG5Jg7ZZ8DhZ6n6/DcJZaJSZGelIK/S0qFjH6/n3pXEU6avn3BvEAiKV3Prek+S8lCeTGNcNGLGHkuzr2JyWSys9slzx1LSsrqhQ76XD0PlR9Og0fLuFBGLxJQYPP5cyWniks7mjf5554mSotHDQGwXdQVhecj+nBPRVJKf6AETnCuPJ4z35e7Bk6mnrLwdiTP8+Yhsf/kpAy5uLdJ6P/w8JAUP8+7Y8hoKfPzGXxNmAPuxTpK2iFdSR91SXh6hTrEvl2CyN10Ok1j98jJc8SsNVvfyXl6WsENvzsCGAbPv7tMuPHnWt6Gmeuupxa4F1vvIXtPQXm+NneGXA5z8v9NoDDSrVaraZ87FoYNBh62SU8kgSK4d3Z0dKRXr17p5cuXarfbaZvjPi8CRfE2HK/6ehXb4USBoLHPPU8reA7XD6thXAhOo9HYaa9xxcg3RpTL5eQ15OkW8sHSU8EA4cWT5Hl9a7KHbhRL2EjiGy3I6zUajY8OHnEDRG8xxT0P6Xh293CY81zJPdrAe+Pz3q3gKQvP8Xu7mRs2T5fksuWK7LvI+LwTl7fkETkQTrPmyJhHH8whZArJeEgtKeUm9/VIsyb8fZ9HnstGnlPm+e/v73d62XFKfKxeHMQjzruFnNjcW18ulx9tpthHcJ4apGtH2j1bw8naUyrNZlODwSDJrnecsOU+Txn5GDwCIVL281SKQmEtY7VaTYeHhymM8a20rjh8J89tERK8ePFCb9++1enp6Y5XBOHm1VSujfATMqI8npD3MXv7i/SkyJ4/zZUby8t1IW9yt06+Tn6+C43wyb0FjwY8VPI0jIdp7nn6M7mH4WdI4OXmFes8tYMCsC/fT7/y/mUUwPOwzBkpH8bppO7ywrq6XHiOzz1+91I9P8i/PX3kz+Xky//x/JASEQHGlrTPer1OHiHpFb+2jwVZJI3kcuJz5ON1rz1fX6/ce9HVDRFkyud9vTebTSJQ98zx7CFR5DifO18Txu7ebK47LoPoJPPK3OXpCK6Lk7HdfqitdDodHR8fJy5hbshje47fi83e9eS7+eh55lqfO7UgFezpsuBelMpDjLzQwJ8c9PHy5Uudnp6q3+9rvV5rNBpJehJE/xPvBQHAoiOo5FidQN3D3Ze/c3LIQyYPQZ3g2AHDgRueukAZ3PhI+ojcqcIStj/XLuPk7+NB6cvlcrLypEogQ+blU83sefiMkSDM43AX4KkFFAlP0hXE75GnB9zLdWVyAs+9XeYozxH6Z/B8fN49N8g48Ix8m+58Pk+59H2edk6K7lkjB8yDRz8eOeUFPObQ14i0ght5lx3kn0jq8fFRjUZjJ3XmLW5e3HOZdrlmflzevGOG+7sx87n1ThgOhsKQudeO7DjpwwWumxAyHSTMEcbZUyNeB/EUkM/x50ZhpEsIBYl4bgnrCIn5zhz+3ul01Ov11O12k0XOe/lyL8EVWtolABTN82p5vm+zeToZbTab7ezacs/Er53vCnJLzeddQBEi7pd7mdLT2cBs+kAAIZ/c83Dj4FVa6UngiTR8h0/ex5obEhdW5gIi8vQDP35tyMXbsPLiRa7Uvh4oYt7fStVdetqF5qGtk2e+vn7SF4SHYXHZ8xCbOSaXjvPAvDl55l04zCHPTFcIBivPTe+TB+SHwjGpAE8F+We5XqVSSafUeWubyzKOSb7Tbp+8swZ5i6F3uzDnpC18HZjPPJf+KT32SAxj2O12085WUj6kOrzP2TuZXP/cuSsKhZIuXg5hGSdQeYEIZfATt/AOvOcRa+/E4wTjCiA97VRBAJyY+H6u+BRMqOri2eHd+LPlXoxXSr0Q5eTjaQZX1NybcC+GkAsiYuxOKm4AMFB8DtLlWUgNeEju12Rs5NRywvXKPooEOTshMu/0BTNn3l+bG0ngygdhu1HAsOVefx7p+BwQ3pI6YHyS0u89CnPj43lB6goQq5MNz+SpHm8LhOR8DjCwePGeBuGa6NB6vU7HfNJTzXrl8+aRDuSPHHuaBxnmND3kfR/xshZsZqLVLCd/ngH4Onoazb+TFzD5PnrPenkkUiqVdnbB+XxRcKTu4nNWNAp/GzCN3L5zxtuoEEqKS15sohJNuwvFGifrfQrshS6sJUUuabe6T2iEgXCBOjg42EkN5N/z+6OctMNhnSFN70jIvQcPdRgDhobPoKx5x0cexnqLkfR05KMXdTwl4x6Jh3Z4RX6uA8qAJ+FrhZfvu9e2223aUVav11OzuuervQ2LOZN2W9ZyTxcvx8kgr3znxVTC2263u1MM5HueAnPizXPBHpUxDuYHA+tjxlgQBfAMyCxk4fUJT9dgsJlLfx1NTm4uU6y9G0XP4eZdNBRZPdfrpOvE6T3pyLT0lCJzEmZM8/k8zSkk6flvyNcdMOYl1wdyxBhyNtEwrz7/ktJhNxjLfYb+c6Jw0vVGbdqqvGfQlRjPCkXx6jGFG0IlFJ2JZUEQfMIxwh8/r9S9IBYNcvSNEt62hXLyfbxC6SlXyPjzLgDvQJCUDE6eN8M6+9moEA+VacaVF9Wc/EhJeKuaF3G8Pc1/fHOGpEQE7KwiLGfsOfEyJm8toseXsbFDi11DEK4rKl6Nk64/C4Y3LwS6AfLDg/CMqFwzP75VNK83uEfoc+CbELyA6zlp5s0jDp/X/PMQquezyd/6y13peffDyakTMHf5+lAc5KByJ1P3Gv1ddZ7nRYZZA7xH70X3yAdj5MVCT4+wbn5uBuN1OcEwwh+eUiRnjdyT24Vv0D/kyD1dPlckCiNdt4zeV+hhtvTU4kOuk+PuPC/pRQSICEVxy8WEYsW9T3JfZd9zkVSqfYcarVCLxWLnOp5383YuyJftzb65IC82eC7UhRMvAg8RYUOQxuOx7u/vkwB5isUJy8O4PEfpO9D8wCHfO+9FGQh0s9mkIiHP7UUcjCTeCs/pZIBXwlxLu50bXqTyuc7Dd99R5N9jzH5ymLcMoawQBevIc+StZGxxZcvtaDRK88/c4lWxVp7LdKfAC0YgLyS6DHJfIi1I9/7+XqvVKnmEOBN+T/8/l708Z53ncvMuBE+DoMeegmPdXI9YT4ePyaMb5iCvDXhqkgiMtWGsHP8oaadvn/sjdy7feYG8CBR69gJbJvO3N7iniSXudrvppY8otJM2O73G4/HOGQHuMeahGwSMonJPxoCl991cvMbFPVeEANLy0BfBweoC91g81PGQyAtT0u6uG9/SWK1Wk3fKZgy8RPdqXbC9/Qdj4CE68+qFGT/PAs/fPZz5fK7BYLDzmiGfS8+pel6U3CMtVIwzb4vydIt7Y/zeDTFr7OkWCM/z2/zpSg1R5orvnh3FovF4nA4wuru702g02tkE4/OJjHuXAGPP12O9Xn90mAvz7QaIz5IP96NIt9vtR8eSuiw5sbgM5pGR97KzLv496YPRwAjc3d2lw/kJ/SFB0mCeW+Y6z3Wx5Plc0pLeGbNer1MhGI+d8VLYnE6nO7UOX888dehy87lR2DZgXlLIiWJ4ny4YvC3h6OhIZ2dn6fXThGgcRINVxcoj9F6VzIHQ5gssPZF9vsV3s9nsbFLgsxAQROOkK31cPXbC9VDaD79xEsAwOBminK6EeD9437kAu4fhXqJ/xivFeLzuBfj3CAHJ4/m25n6/v7PdNU+3uLLlqRBPSdTr9Z02Pp/PPI/sBReQG3DSBB4mMweQmof2+ZghyMfHRw2HQ11fX6fXnvPm2n3FQM+jMi/75t2/456+/w6CJOoh5+xGEBn0rhA3SlTz8dbzeWU+WSMnSuaD9ARjub291fn5uc7Pz3V1dZUiQWTa9cl1yJ/ZnzEHOuCpHb+GR8N0AJF6w1B62oLvkKbgZbWVSmXnGAGXp8+BwjzdyWSif/zHf9T9/X16I6+knRCi2+3q5OQk7Tg7OTlJ22IpfNEEzY4ZBN/DhOdIlwXMwz8U2b1NiJ6mbcJ3iH2xWKTmbgQey+2enSutpykwFJISITC+nGx9jE76eS4R7yCvMu9r3fHw3JXWr4kAevjriusnZkG8kGDeSsZn3HP3qIBuB78m8+OFqdybfe7/815M94bIIfqzuWfuaRDGxIEyFxcX6W3L3kXhZM5Y8vn0kBh5Y229yOrGhvX0MJnrecHTyTfv7GG9vMjFLkX3dhkbRsSdGGQaveDFqLy23g9zwpChT6QQ/TnQSdfHHJAx+u2yTu66VCqlyJjDoPz8CsZO3hvwJuJms6nr62v96Ec/0qtXrz4aw+dAYZ7uaDTST3/6U5VKJd3e3qY8FLnYg4OD9BJG3rXlRwhijb1a6mfuPke0+/5078GVzns33aKv1+tEkgj7drtN22DxDBAIz2dJSsl/EvicHewH3qAwnPjE0Xx4P7lX5ykE6ckD9/YaT12g0JABc+keQX4GquddJe0YHH/TgJMXrTvkdJlnD+e8gOEkzdz7c/OZ3Ftm7fz/8Nzy6/l5BUQbeDsoMtFNbqAY8+3trS4vL3V5eZkMP2uN7LDWTpBet4Bk88Itz8eacO08VZavO3PncuE1CMZFioyDbqSnVkY32O5t+4409IO02mKx0Gg00vn5ud6/f6/b29sUonvUwNx7HtYjDHcQgOe9WX9PQWGkarVa6iZifNzb31rsLWx++tpkMkme9Hb74Y3dzlefE4V5utPpVD/72c/U6XR2tuy55UewSCVQ+dxutymdQLXWuwkI3VzpuKaHYE7MfJ6WE9ILFBJo6fEcLMUm8kD7UgGSkpKhiN4fSIsPaQGKDpPJZMdaQ9A8n3umkAV5Q88P5/D8qhMvniak47lB/t8JyJXSuxsYvzefo5ye/yUHz3N7bjnPfefryFq6rPh6AwyFe4hupFgLz6VC8FTsfewQJl4ux5CiyO79QZrcC0XH2GCAPEz3YpVHTPvW0FNAEKJvuuG+i8UinZlAGxmH6XNIT7lcTpEF84gM+1kIuSPhBenc6fENHqzVZrNJxMtY0FUcrlxO3cB4xMY46dGl1591gytKpVLqpvA0ixst5pBnRDaLQqHn6Q6HQ223250eOiaEw8NHo9GO8ND+Mp/PdXd3lyrGfsi5k47nqRCY53Jp+QKzcQDi9fC6VCrt9G3m3Qf820MniA3SoXncj3/EU4R4KWKQ2vDcmoeXePzeRoVQOyHT0eBRAl40SuehpBdwPDXgIbz/lEol3d/f77w6KI9MeFY/yxVjh5ePQnkeeZ/HgyK6wu7Lj7qHjee43T690QDy8RSOXw8DhXIzdg/RPR3A/dx78sjC25aIQAiL3dnAKLDOXNONOzlvPGdPqzHf2+021U687XC73aYiqhf4nHjzQpYbCv+M5+IZJ2vK+uR94sxVnq/nd/yfRza53vKMnsZbLBbphDYcHHfQPJJDrtzLzbsrPicKI12I1EmCSUQop9OpJCWSor1HUgqRmEjfZ517Pbl391y4kJM0wkUfI/lVSIdTjqjY93q9nV1yKHmeV/NdMhgKz7+tVqtUjaboIz0VHvw5mDu/po8RkvVQ2YXV39eWF5Go+nox0nPhOTkBiAWhRiFRUH6Xe+dOWDnpevHjV4F/x0kXOWHePD3BZ0jtMNd5emBfhdtzyT5uDCnE5NV1yNe/x3z5llo/AIY1cFkl1M5z+RgL6SnqYm4hKZc/95zztkl0wmsJRIFu1Ola8LQSBO8560+taa6LGIKcsPNOhtVqlU5Rk7Qzh96Ng2xh5N0g7sspfy4USro8tLR/iyCuv/RExHhaeMLecrZvovyaWHSAd/0pbwllIafM2Mrlcir2HR4e7rwC3fduI8i8VQCvwK+PIHv6xMcg7eaY/bk8F+ufz70CmvEpKEBqvhkFA4OHsFw+Hc/nrUdeSGP8eMG+cWVfEY/PexeBrzPP40UsnjuPhvJnzA2t5wO9x9SLTJ4DJ+/LuDw3mkdDfIaQnvTCvhQI80Ju0U+x8jcYUMzbbrc7J9/lnSOuI77uzFWp9LTDzeU5Lyz72HzDA5/BWDLm/JXyrBvPguHiIHCvnfhLAHwMzJP/m+dAlvKx5cBY0d8NCbP7Ee8+T7/l+XHG6rxUBAoppEm74bakHeLxHTBeqUYw+dP7VaWPX/2yTxilXZL1fBvXkJ7OrUUBer2eBoNBagtz8uBISj8bws8h8BAQAeC5vAld0k7Xgodr+S4g5pBre745L5whrBSMeF6EkPv6IeakeFiH/ExcvDgUjrUjKmB3l+cpWWdf62q1mgwn64i3TQqH6zPu3IvLyShvA3Mlzg9scdnjIPZ87P5ZNlJ4/YCxY6A9HIaYmReMMw4AaZb7+/skG9KTQ4DXjdfo12dekBFSYRg817m8kAf5+Pd9SzcGiJcEUF9gPrgeeslny+VyOj0QOZnP5+ktFsitryVr5GvPuJg/nC2exw2sp2MoDGIQPMfOdb0fm/F7Csg93X0k/12j0M0RCBTChGD66WF4f56z9N1rHhbmLSdurVwZpad8nrTbs8rvXGGbzWZ6O0W73d65BwrtOTvpqd8URUS48NDxpBgXn/XddnnjPgLP/f16LoDuwecGJg+rSClwriidInjC7nFWKpWddh0PGXnOnLRcuN1L9Hw4z+bC7kqIN5yHlsiPt7PxeSdLJ2QnbJSwXH4645izjPM0kXt+EIy3LBFt5N6t737rdrvpzFZy175Di9oGhOGF39z7Q16d0P1MamTL88qQrrcf5sU8l0eMkL+aKk9PuXOCw0REyP2n06m2261ub2938t45obnRxOFgXOip691z3RzuUeOdu1GBnNnk5O+A82JyUSg0vSBph3Sr1Q9n7B4eHurw8DB5OfP5XOPxOBGlexkoGhOPt4CyeN7RPcB97SmMy0NJwqt+v6/BYKB2uy3pyQNhgbyI5d/Hw2OcTjLSbtjnlpidcL7f371+yJXXw3jhJq/2ejjtc8+/XYkhAEkfeUVejMqf1efVQ3/uy//xfF40c08jD+2Yw5wwUS5y3xAr8+Unv7lnnl/b0wr5llfPQT/33VyO3Fgjc3yXyAJvzNfAjYj08Zs1ICN/Jmn3LNput7vjkXrRzTtMSFnkGzlcfvZ5hD5OunbYjMQc5Skm5GuxWKTzcj2F8VxKMF9rdxJ8PnBe3LPGGeFzrCdzIyl1kPhn87koCoWevSA9vUob78zDHa9ko2Tu5aJknkNEAT3sdE9F2v8qcB+T57RIH/jbHCB/925ZOC92UGTwEMatvBdyvEld2u3JzPPSLmguOBCwPxPPyv2dQCAq0hlc8/7+XtvtNvU/0z6WP5uTbqVS2VFoChvME88ESXgDv3upbhCc0D0VwxpBCr4tNu+Jlp7SKLlB3NcCh9HBeOfExHy5HLrH55/xOeFa5PY5BWuxWOzsqnQD4oYKz91TC27IPTWCp+kOSC5Hec1Bejpn1+fpueKjb0bKN614bpx7Mi6vd+T5aP+3F7gYp0dw7pyQqsGD9RoHKSqPFpg/Nwxe8HYuKAKFk657IU4enBxE5dW3o3qOi/CK3Sh5fpOF4v+kj0nXx5OP0QnBc5PS7uEZngJBETl5C6+Ujgw+w48f6ehhO90L3rvKvzmngPYY31fu3jOKl3c2uMeAl0k3AwqAAOdVc58X6alVyotz/N29FbwO+p5ZC19PvCr3TPNiV37ua07cfg1CRiddSMdJ19NNfgId5Oq5cgySb5DJQ2bveqhWP7zFgHUbDoepjcqdCfqV/Xnd69xsNikqcaOBc4DHC6G7UYDQfZMD9yQ3ixFHXmi1Yk4wlI+Pj+ndf+ibb1v3uob08WuWnuOD3AN20nV5c8Ilj73dblO/NEaSKBrewBEgTeY7Id0ReY4PPhcKPcTcgdBziMh2u00eHWE832Px8UK9+DOfz3faUtidxo8nzPPQODcE5Nko9KB4+9rPnIAxGCia9JSOoGUFgXUlcJLxzgGek+cih4cVJ70Bobvn5cSOYQBOONyf1/+41+cVXQ9B85CX53TSYm7cEyWK8TnkWTh3F1LAa5F2j8jk+3nRiLFiwJ1MPVrwSryH4B4p5SG45yn5vRfQXA489+hzR5uWtzjlabA8lUHeF3hkR+RAEZTDhrg3rZTIcd6qhzFlDr3ThshxOp3ueIUYYoyRH49J4dU7ByBq332Y11H2pWjwunlWvH3PkdNVsdk8tdkh917HITphrun7J5e7L79cFAp/BTsTCiHiJa1Wq/SuMISLfCpKTZ/sycmJ+v2+arVassL07+bhsRNMLtzAyfP29lYXFxd68+aNXrx4oUrlaY93q9VKu5darVY60o9QjK2Q7jH5jx+/6F6Xk5wrRKPRUL/f1/HxcXqPE03gEFi1Wk0nXfnRejwTHoOH4XnRCUBOeV6Q33nByglaejqTQfr4BCsMjbeNebFGeurNZg4xNu12OykbXh3k6WSNYWNefQMAB6LgbXv7YZ4O8A4bD8uZJ5dP71bBkCLjno/P59nz+553Zb3cE2WNma9+v5/OJzk7O0tb0dfrdTLInL6HHOZGwQu0kOxm8+FsZqISfxURc8q//c3V/kZvvM/FYqHhcKjLy0vd3t6med5XrGJMpVIpRXoUs/khf93v99ObPpbLpUajUZpnnAeMgbfoEXGS0sERg9iLRmF3RHixTtLTywzTYKxvtN1uJ4+OsLXVaun09DQdhkO+lXNFb29vdX19rcvLS11cXKSFxhPaF054rnU6nerm5kbv37/X9fW1vv/97yfyz8NjFJ0ff/U6b8TwTQiAvDTKK+0W8yC3Xq+nk5MTvXjxQicnJ+p2u6pUPuxU81en93o9XV9fp+P1pCcjBbzLgPOJPaRn7gkXIdU898xZGMw5z5uH3J6P4/qQP2s8GAx0dHSU2qlQft8ejQLh0fHmVrxe9/iZ806nk3qRIW6em/tMJhPd3t4mT989OSeHvCiKwaDrwV/K6X2p3veLbLkBy1McPLcfgsTnWq1W2pBzeHiok5OTdAIfnSfk+XlhI14ehCs9dYXskzk2EXBPOjt83l1++MmPgeQ5Hx8fdX19nfQIGXE98PSCp2og+E6no7OzM52dnenk5ERHR0fq9/vJAZrNZrq+vk4G1Q/Q8rNTSFWipzg+PGtewCwChZOuez6SdrZkdjqdHc/EC1LlclndbldnZ2d69eqVXrx4kT6Pdb+9vdU333yjf/qnf9JoNEreK97Lp/I23trCEZT0I/qefA/DDw4O0jZRioO3t7caDoe6urrSaDTaOV/UPYQ8z4nXWKt9eFX92dmZXr9+rZcvX+rw8DD1C282m51WJ7osLi8vdzwd+kCZ+1arpaOjIx0dHaW96gi6e5UILB4k0QLeT73+4aD48Xisy8tLXV9fp+f04p1Xt/EsiBrq9br6/b7Ozs50fHycwkV/SwcRgb/u3UmXuSDSwRPsdDo7Z1r40X/UAG5ubrRer3fyl05ShLrMj7eZ4WmenZ2ls549T+9pE9IE5IMZF54dkR7j4SB0SWnOu92uXrx4oVevXun09FSnp6fpFeR+wP96vd7pYoAA8SDdO5e04zgQsfF5WiaRtWazqaOjIx0eHqYNQXl7IPOEkwHp3t3d7RQMP6V/ECVOyZdffqkf/vCHevv2rQ4PD5NRYe0Gg0EyAHjrRBnb7XYnvYKesgbcE8P6O0W6hFe1Wi0pTS7c3t/Y7XbTS/GYED7X6/WSAB4dHSUrL31QnJOTEzUaDY3HY/385z9PnhuL8W1AufCMyZ/5KVWSkmDku5Rms1kiUi+WbLfbpIjVajV5qBCB91E2Go1Euqenp0mwvPXGixje9kQxhVwawFvEc+71ejvVfs8TQroIKkrEvSCZ29vbnTCZcBUP03Pm3gIHuQ8GAx0fH6eIRXrappwfe8n48x2AeMO+8aLVaqXvkgtk/iSleXl4eNDd3V0yJL7TCiKBVFi7g4MDnZyc6PXr13r9+rUGg0EyQnjMkDMdG5Cuv90DLJdLjcfjVIREViSlHObx8bFev36tL774IhEuNQ3fRQfpkZ6A6EhJ4ekSaZKC8BQcO+SQGeb/4OAgedqkAFkDT79A2PTG4iy5h/0peMdKr9fTmzdv9Pu///t6+/ater3ezmE8dIRQMxiPx4kn+AxrQxqCa/O5SqWS3jbB2heR2y19S9XuOyvp5ZXynUHsaW/Z9/Dez5f3puZV0Lxd65cF1/b+0m+rwvq991Xh943fi3JcB3jva/65/POfujefyed13zX9//Iio3/G77/vXt/mzTAW34WW5z39z3xcz81FPh/+Hf8zl5O8q+W5cefzuK9fd9/n83HtG7fP5b41e04ePjUX+2QwH69/Nh/bp+79bfpAnto7c35ZcP18A8c+OeHaz90jn9d9a8AauQP3HeHZSSqMdAOBQOC/EZ4l3cLfBvxt+K7c+1/Fun6ucewbQ1GtKUW3xPyy811ka84vi9+Wsf8m25g+x71/G3Twlx1HkXMdnm4gEAh893iWxYsr2QUCgUAgSDcQCASKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgWi+i2/LxUyikAgEPhvgvB0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIj/B8mADxmWxVGTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 28\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 29\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 30\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 31\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 32\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 33\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 34\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 35\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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byz2JrDabjQ4PD1Uul9VqtdJ3sXW8Zu47Ho91f3+f5li1Wk1R0nQ61enpqdrtdkokYxOtVivpwbuStdg3EQvOzcPDg+7v73Vzc6PXr1/r/Pw82SzjAxkSEUynU7Xb7SQvsvjmCyljxULrNj6dTpPkRrTKoka+hXbv7e2pXq/r+PhYi8UiOYRFeLyFebpHR0f69NNPk96JB0Dnuk7l2c5vqljw7CneGmEXni4hlU9A71gMejwe6+bmJrVnMpno5OREz549SwkoVn884NwQeQbP5vKsDw8PGgwG6vf7Go1GyWPCO8RLx9gbjYYODg50enqq09NTdbtdVavVdC2SMxg+fUgiEgJnAUMOWK1WyQghTPek8fxyokCzc28D4kLWOTw8VKfTSZoZCR7uS9/nGWkPEyVtJUohLiIMry6h37ETX1C/7bpuC34vxgGdfr1epxCUfIITJX3nSStkA8h4Npulv+M84Aj4eLTbbbXb7TQGzAfXJSFAvE7kLrRk2nZ3d6fpdJrCfgid+YRd9Pv9FIYTVTG2vjDl1QksjNVqVev1OkkTo9FIV1dXur6+1tu3b1OilUXAtVMfAxYv1/axPxYIZBcfMwdzkD6jH5knLLhIDcgor1690uHh4U6OeR8ozNPt9Xr6gz/4gxQeDwYDSe+SMqyweBuu5bg3mWu5TEg8PFY1D9lIBEBGJDlIKElK4dBoNEoDDxn1er3kGe7yJGkjA4p3AmmxkqPX4SW1Wq1kzK1WS71eL1UIMInJsB8dHanZbKbwcjwe6/DwUL1eLyUYnQxoPxMM7xSP2HXS/f199Xq95NWTsPKsP+335M94PE5JNq5xdHSkg4ODJBtxb/rXw+pdNvJtNoTHC7lAHhCvk9pT2FVK5jorUs/R0VEKQ2u1WiIMPNdarZaqZAhbIS2vwkCqYSFE7kK2QNPmPq1WaythyLhi541GQ71eL92XxcETatju/f39lmyE9orGyRwYj8fpu/wfc9GlntzmGRPmhSee+/1+SgziZPi4+Pz0uZlXr/ifEDxtdD7If2ij20y9Xk/RI44MEU232/1Otvh9oDBPt16v6+TkRIvFYqtsA8NAcmBw8ppH15y8M92rhOym02nyHliRXRuEkDz7zWTKQ0AX7vGidg02gAAI6R8eHpKexmRzYoOAW61Wki/a7bZ6vZ4ODg7U7XaTB8qzOyGT7R6Px18zPNc5meA+OcmiE0aiWfN8HtozIQhl8Zzxukj0QRrSO5kGjRMSB7lx76pJxUNhQrPoeNKP8aPv/Sf/v5yMnYBpJxENpVV4uO12W4vFIn1ub29PnU5na8EiZIUksFN/fi99Y3wgNMbKbcvtu9Vq6eDgYKuUDJKnv1zTz+dRvV5Pni+ER5mg68bITruizLw/85p3D/WZRy4RcA8WB36YD1SJ8H3I3/uCPs35wO2e9rkjQmTS7Xa3FkoIuSgURroMJoI/hufJHQR5BsvLfIAbMwNHR5MwkJQKniWl0JN25FqfpOSBek0nRpe3UXoMrT3cycMbCHcwGGyF96VSKRGvr/RMRNqZLyoe1qL1drtdDQaDFIJybwyYkNgnBsjbPJvNthIVPnkhv2azmYibSYHnyXWA9zPXeqo0h3H1yc+zu6fliwmeLQkXL0fKicDJ+al7c1/+zvN4/SvEj9Tk1QkkyiCR/Dq7xoC+9uiIihQnYY+8kHFcN8Zbxy5dBsCLL5VKybmhn9CW+T+es9Vqbcl7tNFlNL7n1+P3nnzMZYVd85CIivk1nU7T/KGskb73PvTF1O0B7Zp7eEkpvOEetnvx7xuFkS5GRIcMh8MUghCGoP9RX0gCyiczOhIDQGfhpXr21DcOeLbcPQAfQC878ppgnxBUJ3jItutZWe2px72/v0+TyckW5FUHnl3HI2Fy+8RAu+aeTFQ+y4QATgQsDLVaLckOtMWv5Z4XRu4SCyElxLu3t5eM3/vbQ1b6iTZ5ciUPY3mW+Xy+VR3BdVlcdu1a9Pvv0nTdq3fbwV6o4R6NRskL82oQEoXuUXpykWchoeU1wA76ALvhWeh/IjW8cN/YwHiifw6Hw7RxYjQapcXUJS9IkTZTvkkS8ZtkGl+o6Xds1xeO3HnJyZIxIQnn/YDzBRF7HqFaraZ56FUNOHTj8Tj1O3ZDKafLaZ4kJOosAoVuA6Yo/ebmRm/evNFvfvMb/eY3v9FXX32ViqcxOozZJQdJOz0ftLI89MGjZmJ69j5P5kBalUolTQ4n/TyU2qUhcR0IlMWDzQqTySRl/FllKfwnJIWw3EtbrVbJs/GQ27PkXhKFt+XSCUQPyMbjUXj1hFc75GVWHtrRp14ONZ1O04aBXTveaKdPQPfqaZuPEZMpT4jm13TC9XHxKoD8vp6Y89D4/v4+kep4PN7avMN3kUsgS/eivBqBSU0Eh84tPcoaEDn9ip7LNbm3j3keIbKphQ0Jg8FADw8Pye59bvl8IIJhwTw8PPyaZ57LPi7N+Q8Luc+fXZVHHkHO5/Nkw/QrbfXtw/RDHl1ybYiYnA3znvmMU+YJyfV6naIWnx/vE4WR7mw201dffaXxeKyLiwt9+eWX+vWvf63z83Pd3Nxs6Te+euYT0I3A6yJ9ICFP6XEC79r7DdwgyDTjLeQbCLy0ysM4r7yAtMj6IzGQSJO0pTFRrZDraB5iLhaLtINIUgoZvXbYnyUnWydnwl8+z49rgl4KxO/yve1MNNrnFShINU5yPmmeCjd9TPhxGWpXooNx98+79ueyjcMXbf7EViAUl7ogmzysxrY8lJceE3+03718SvZICOEZe9/68/B73/otPS5sbIC5vr7eihypqYZs+T+0Vuld2SXE126303fyyMmlvVzzp+9ms1myea7jz+3yEePsycS8f72/GFPGYpd+7/bo86Baraa2eMJwNpulhChy5PtGYaQ7nU715s0bTadTXVxc6OLiIm0Fhdy883aRI4AAPPTOdSOXIzzEZELmHpMbBrW1hJieZc2TJdKjZod0QljkHjskjOeMt+uhk2+BxnORtmtK/e9eItdoNNI2ZZdeXCtl0WHCU1NKqZonK/Esc3nC24MsQX/jJbsk4HJKHmLyXRYB35zhNvBUmOvw8aONtNPvmZe7ebUHE5nJ7uG9E59XJjgx+X19s473xXw+T4srz5prjCx+XC8vh+Sa2B6bDG5ubrZKEl3WwXt3DxQyZdGGnLFfdtR5NZDnMaRHxwDPERmFMi+XBnfp9ZAtkSn96tGQ27xLS56YBXl047kcJAjOZ0Heazab+uSTT77Vxr4vvHfSZfVy/ct3mrhX62G7T2pPguQbISg1I/xz+QByYyAwjHxgaKek5Hl4TaYTLqTLdbmG1xRi2IQzeX9gDBASROuSgdd40m9uiEzSZrOZfgirvA8hDFZ27tloNNTtdlOZGlUHTESXU2i3a9FIHc1mM42nP6snj3J5A2J2L8YXsdzjlbZLB3OJwOUmvs81PSR2+GfyXWGeDPRT0iBFHxu3IbRR30izv7+fqmXy9nhi1UsVIWPu4+PsNcCMCx4bniWJN/qPdvpmFQgrz0nkIbnfz/siT5LiiEBu+bz2fseGvFbcvVTsJl+0+Tzj43ouduQRg+v42IcnynGGuBbPv8vR+z5RmKeL0WJErnl5qOsrqWftCXHr9bra7XYqp5KUkhOua7r8AJl5VhZicU8u73C+7xUG7uW65+aaGau860ckKnLvDeOStGVcHsq5p573KUZGf/IcIPeYCH/pw16vlzZ8oJ2SyEBfxrid6NkeKinpg4SsnljxCIPJlRMVf/LM7uHkYanLTdiG/47P5p6z34fvehmhX4MfFnjqY7EhSSkCcmnGIzDkIuQf7B4Cq1QqKcnl32cOMCcgcuaKtxV4VMAz8SeaLTbqfeu26fozJE6kxulwtMfnJX3hC9Ku9nn/Uy/LFmbPD7g+jt1wTxYzScmWy+Xy1xwYrwTCBj2q8V2D/nm3x/eJwjZHVKtVdbtdjcfjVM/ptaEYMYaLoWD4dBw7tdBgCIe88iA34kajkbKyFLxzLoOH924YEIwvDLmGJT2W5Pi/+ZNnaTabqf2uEfoi4/d1zdW1NAjaJ7tntl0OwMPIpRUMnjpF9rt7WC9th+cQv4fBEAqeh2uG1IL6gkKbPSx18qSt9AeTN19ovOwM4syzzh6++ng4OXlugPYxSelvNiu45u7PCzl5qOzj6XbgnmLeB+6Jej/5Zgd+pO2FgX72vnDC9vu59MECgLTk5yz4eOQ5FNfKacsuQvPP+LzyTSW9Xk+lUinlOvDKIVEnXe7jR31CmEQMeUTltoftM448c35oUREo9MCbdrutzWaztcIw+E6svmJ6iFur1dLGgXa7nSQLz+K6tuuhCAdesGedQvHhcLiVDfWB86SFr4C+yrsh4xX7RgJInr+zuwu92BM47qkzed3o0I09weZt9nDPM8q0mTb65gu2E+Od7iq98gnH333iugcnPVY27Ooz/3Hk1QpeJSBtb67wkNEJctfClydbvmt7iI7YJOHlRejj3h/5wuvJIGx5l3bsCSvamCet/E+3A/rEk520A1L2ZDR2j316rTFkyUac3JZ3yQq+eDAXkP74jtc5Y6etVkvPnj1LxzCyq9K3CrtkQNRFn7sm22g0trbVcw/vJwg5j1j5Pmc+FIXC5QWIlBWNDuF3DBreqa/mhLboZHiMrnc6WbixoWEeHx+nkATPxcX5PAnielNORPzpJETovb+/n/Q1PHlqKan75NQnvAInPZ/AeFTUH6J151pWvjgAJ9x8ha/Vamliel0lYwYBeLbaw0tP1PEMhIpkxN0GGJc86UX7nbzcS2NSuWxBO5zUJG15f/QPi5pHXhADnj6fZdH1JKPXfKP15/1Df9B+iNelDg/hOYMX0sz1z11eMn3ALjJqXH0OMGdcV+WZSZj6eRE8G56q7y7Eo3T7chvL5SKkGOaOzyuehbl4dHSU2trv97ecD5ftIG/3gmu1Wjrno9FopCSca/NEwS714RDs4p6iUOiONB6asxc4UxWjqNfraYsebylwCYBBI+HjSQHXtHLSyD0zPucT3CeMZ5Jz4n9KU8RDZ0ssJEGFAt/lYOt+v58WDghN2i4V8ud/eHiQ9G7CcYwg9/BJSdvdy+UzeAj5oej5YuWaKATvYaR7h06YeGIedXB9vDtOSmOHkMszuzzjXCLg+kwi//0uQshJ1ENx5CPXkkulUiINFk/CTzxcf34P592bzSUoJxInuFarlSIeT+BxXddnuQ8VAtgTdbG+6QKb9WQUyU+X6DiNz0Nw9H4WZqobvH9druE+uQTlFTTAI0Oe0ZNwTpr0A8/jiUC+z/Zrzzkwb4bDoe7u7tJJhcvlMr0FhpI6iLcILRcU/jZgtury1oT7+/tUnkQo0+12t15/Q/kKIbUL7048XsPKn278Hpb5Rol8ErnRSNvbQfMwFfDdvb29dFg3GhSTAQ/fd6IRGnmG2BcDntnL0fys4LzwHCP2Z6LNhOB4a3iiXmPrz+ILU55k9AniEwYNnSjE2+X39rOT82Skh8Tc02uC+TuLr/8OO/PknS8wTuZ+GIzrzyRZ8HS9NJFxfWqBcO/XpZG8dtQrOyA9ruWSSK6f4tnirXl5lpN2vnBiE8hLvE7ItxNjO0gq+TGmOZx4XdbjfhCjOyk8BzkASame2zVpl+9cuoJ4WbSI3vDi+TvX5nxk+gfZq9vt6v7+fmfZ2ftG4duAKZ4eDAYaDoepAB/CRQNjtZW0tcnAQzIPmyBK14F9BcM7wHPztyK4t4S0wETwDGhOEjwXf0I8FFnjXXp5HKVtrNhes5ufYUrID2lD4u12Ox3m4+9Z8/5wQmHCcz10bDL0rg0yeVzj9SMTIQn3oHyi5AuIpORd+fh4fSv6JglR7uUT1dvmpJQTmo8FY+s6Y05GLBQsanhM7gRAIIwBNsEkzvsHO3b7g1T5PDbNd1079bnCvRhnr/HlDRH0G6TpXqbLFuzQdFJ1mclLuZD4csLNnY7c23Wvem9vL7WNuUHikDN3y+VycqiwFWzSx8rtCfthQaR8lGeRpLu7O/X7/a2NSth4pVJJW6RxDp5ypt4HCn9HGj9s8fMkAnVz6LccrIyQzqrP5MBbkJSMlRDQvTYmFW9pWK/XyRikbc/YNw1AfHmSzsuE3OA8XMazYCL4eQ7uEREOcWQfe8JLpdLW/nPqCek3QirercWCRAhPCIvn5Hvhvc6RRBoEyOe8UN6zw3ldKZOcvvYJ6p6mh+k56eK94JFI2poI9HMelXioyzj5d9x7y2tcnXSJpriv63t+H/c0OaOYbbZ4wJ5PWK/XW6fD8Qz+Oh08Mh8zX9h9fmD/vEoK8uIaLLR5TsKJP49g/LPYvB+m7guM6/n5gucJPdfDqUF3PR2ngzOa/eUCeZTl8oqPAfOMd75Rb05pJk4InOLSC1zgNfUuxb1vFLY5gh1pvJconyB5uOblOhgvOuZwOEydT9jgta7S4w4pDMdDauQJiDkX+QlTuB9eBpldvKdS6fFwDt9T714zgKwwVK8npoyLzQocnk370K/pT0h0sXj3gks/s9STgnyeBYEkBB5uvinAvQI/JyA3WH9GgOft8gDj4YezkxSB7PA88MQ8nM49VgiJ69J3XrmQf8+1W0jIE2he4eJ1xT5OPNN0Ok25CHZSek6CBT2XoyASL4vyw1z4vctXXMPP3uX3aOKucXJ/kky8T48aYc8ruByADdIvELf3R57go494DhYgIlDIkIWOZ3GpCDKkX1wS8gSi5zogUYi8Wn13ljNvVvH33eU2kS/S8Agvov393//9r9nO+0Jhnu5gMNA//dM/Jc8MY2PiQ7Ls4oFwO52OpMe3/Q6Hw1SP6tts3bN1IwZeQpJXPPAdr47AWCeTie7u7rZCxdVqlV6nTkWCvzfME0vu+XhmHzIjMeaVBUgSk8lkS+sDTCJWa387Axqtl+oA/p57i5CFh9l41Ex2wnevA/YECoXu+RkXeCu5Xu33lh7f/Es5IffIM9KQKM/Kv/OEJ6Sa7yL0hJB7e94+J5vZbJYWVw7nJhfBdlqHl8q5zu/hdd7/PkYQmpM9fQ6Jukedjy2LE8/MmLgEVS6Xk6OQj5cnVRljrsEbKphbzI23b9/q6uoqHepEtAXxet7BpRO0Wb+/95vr2y7vUQ0E6XLcJQctSfoal9CP2N58/u5tzp9//rmurq706aef6uzs7BsY7PtDYZ7u7e2tfvGLX6jRaKTTxiQlr6PZbOro6EgnJyfpcGGyyBiUH+aN5+FncELi/B1AJui4hB+QJO1AH0LjWiwWSXeD3AhJ2FRAuMgE9PDKxX8P2f0gEtcJIYJdYTorNxNpl8fiIa7rayQd8CKQUDxrTJ/mUoqTkyesIGc+u1gsUnVAXj3i15f0tYmee6MervszS19PQuXekI8B9uMExOeYzJ7UdGLkc0QUs9m7d9Lx2m4/MMbDYY9m5vN3R1F61IUkgy5O+O8euycSfdH2xc6TgdzTqyV8YYG8XNuv1Wpb0QwLP4AYISoSbMzH+fzdizyvrq50dXWl29vbtMMOXZ+55LX09CmH7kOg+Tby3Cv13Al9Kim1i1wIn8cDPjk5SQuna8eTySS9GHY6nerP/uzPtvrufaIwT3c4HOpf/uVfdHx8vNXBaEqdTidtSyW035W08jo7L+SXHqUFvB6IQlLqcJI9/mYI1149gbBer9MbQ/3tD7w/jXbidRK+Y0hMaNeW8tOemJC+1x0DxYDzTLyXi0nbJ3Tlk83DaSSA3Dv0RBp964TCtZ3kXX/HE6FuMp8kLJDuJTMWvp3TE6Kufe/a2ulhu+v2tJNndA/Wn9UTZnhuT7V7vV6nihvIxfvH+9gJDnLy2mt+vHyL5/CacB9XJ3Qf813JMpeIiMLQLbFdnrnVam0dyOQSCHMEyYoxIRHMOwUvLy91dXW1tUGBfmm1WslR8YWWBCGJPdrt23ldJvM+wT49CnN+cJmCPImflue2zgs7b25u0jwvAoV4utI7b4/aVA89/TOSUqZ2MBgkSaFSqSQ9jbcwOMnRye6VSdvHOhL2eQLOCRfyZ3X2PfZMPjwT34Pv9aYYhxfyk6TKdVJPrPE5FgmI13euAfrOk3fS13eN8W9PrPhzY/z0oR+YglFKj9pp7nnkCQ28etej6Q+vpcbbQnv0syzox12aMePkY5uPc2533lcQPpMbMvHdVl41wd8Zp/v7+1Rx4+ey5oudE4Sk1K8kED0J5RU3vvHBw2DXOPNxxzHwceGNvMgAk8kkvSyAXAqVCu4E4OU68bu84A4Peij1rhxbykLGuDKX9vb20uvgPfFMva3LcLvmMX3r85nqDzR26uGRIAeDwZZny729XFFS6h/sPbej94HCPF1PTLiXwECxJZeVj47lJLHJZKK3b9+mZBzF4Ux6r+djAnsiyj0yn5AMuofhkKprSdL2e7y8npdn8FCS+zLRITT30vk3kxjycw8awvLV3zUxL7sCrsd52/NyLekxjHMyyjU2aXvThmunXj8MgThBewLPNXVJWxKAP5f3m1eW5GFfTqpevoVWyGtbeCZIxtuAR5xPdoiHyMTlFA/7XVLxdrlc4wTgiVb6zD1xr4TJx5T2eMWI6+vYLB4pJMyB5lzL+4s+oj9c1kEmyz159753zQva5Qf1uNPDmOYLjC9CPo89AuG5bm9v9ebNG1Wr1TRvlstl8l6JTHgLjc8ZxsttoygUuiMNuGZGx/OWBUlJQ72/v09Z2Mlkouvra11eXur29jYlBXywvabPM/Lugfjk8OSDe3M+6JSNlcvldFAM5Sm8idV1PEgLY8a4ffecTyg8ZMp/IEakEvfi6TP3ODxsci/KiYhncqKn7+kz9/adKGmDh/R5IsrHlH7FQ5MeicmJ3b3P1WqV+plJ5gRCv+7SLj268MXVFwnXnf2YzFxL91Iq+tzthX7Etty75cdJyEnLq2pom2vz3lb6xXVd+sJlINqc97nLbshWfhBUfj2qITwxiebvhMtzUz3AAsb4ueSDDef24hzgsqA7FV5ZA3l7VctyudTDw4Our68TX9zd3aWDpagBRhKknJK5ki9oRaPQHWmStiaqG7e0nfBCjyLceXh4SKEMyS0Prb1I33fC5EbtoYwj92q9oB79rNlsbm2fJNmXa554NpAppMBE4Hp4K4SaGLZnvGkbz+n/5v94fv+Mt8U9b9+5RLKj1Wol/XE0Gqler28duI7RQ3i+ycBrPD0Z5BPbpQiu520ko+4RB1ED5OQLp3slTnbeRte/pUev1b0axoFncH3Z+3W9XqfP4CFDKjlZY3u+JZx6c7R7CMAXBvokjzR26fXuHCAV7LIRdFrfWIA3mW80oPa7VCqloz/93AW3cd/AAeF6fsJrmV1q2gUnZBLQ2BJjjiTpCyqJPDgDBw2S9gqcvC9dlvGFoCgUTrrSY3LGC+fb7XaqToBAyHKyi41idCev3DPxe7AzLB90yMCzzR7WVSrvdn4dHx+n4+7ysjb3YLwAHaOUHt++wP+zwpJIkR7rd8nC0hd+wEpucNPpNHlhLDzuebH48P+uwUIajUZDnU4nLSCUmqGHUWHiHjrP6Nl4zg9ghxMHquT9TYnRaDRStfq4TdNJId8FxoLhCbN80fSJ6d4WXibhKkTmY8X5rBCMV1pwbSICJjr/pr9ZPFlw/JAcPyQe7Z9zN/AUeUYIHzKAuOlL729KC1n03Ut0D515w3c8UbVrx6X0uIvSX4DpkcVyuUzPzHZ3FiMInCQb/eaLiyfIPNnr1Su0LSdLJ1/Gg5p9HB3nD/rPF0V4xR2solGopitpiyxZUXu9nnq9XiI4Vn60wrz42kPjXBrIwxomMJ6OD7i0vX8cg+RAEPame1kV5EAbuY5rgk4kPpEZaO6BQaNt+tsGctLFS8OoMWhJSb90j0jaPiPWy8BYQCirOTg4UK1WSyVO7sG5d+WaMgSGNwd5uecvPS6w6HCQE9GMezh4Ny6feKLIpZP8+rs8QCctLyuk7dSBQ7qeTHO7JVyGdPGm3HFwwt3f30/VOH5mMdo88hkVBq7x8kx5VEObWSw7nc7WG209UnLSzXeB0qfu8bmXnEeLOeHiibPQ+Wtv8HKHw6FWq90nhz2VMPOkai6T+ef9//ndw8PDln2wGNEfzBnswZOhXKNIuaFw0sVjwlibzaZ6vZ6Ojo60v7+fjJIVDG/XCdeTWK59MrCUonjmN9eUfRXlMy4hHB8f6/j4OJVBud7oXgoTzg/lwPjcg3Btzr0xrzOEcPNzfDEw9DcvcYIE+JN75ZponmTKdWU+5wmZ3BDdk/YIY5cW6vomC1KeSHFbyL0SFjafTF5n6tf3hcIXB9cXIQZImEWH4nnCf9eF80gqlxHycN/ty8kB7zDXyL2UDK0UosgXbPdQ8UL9UBrXXbk+Wi125uVbPsY+zp4PIPqRto8d9TyCj50/x3K5VL/fT1u/cy1Z2t5+7/aRS1LMFXes3ImQlDYSMYer1ao6nU5yuIh6vV7eSwSL9HoLPfBGegy588y6a3CspKzUri8ySf0gY8ILVi+fNBAg13Ry9nYxsCTL8AA5QMOJy/VZVnw/aIR7+ulPvjrn2VL3jvm719JKjzIBtZSe9d6VpIBAvEbYy7ZqtVoqy+PtB7PZu5dhstvK33Lheqj3n5MH21FpL6THpPQEkmuMTtRe4uMJFicDT+rhtTPpfcHx62E3EANEQH94ROAykKStMro8VJYez4ngGoyxb4Zh4whlTl4OiM2vVqut8xNoN396JEU47kd1uq14os3/dF2d/+fe2Die42QySV6912/n2rtXgDBu8/k8HQ/pkaKTPB439/a+YJ7yzB4ZEimQxHO5C9L1f/uf2KyPk/NAEShc03UygCjJsEpKJOA/PhEwOMI36k/5PgPBCph7brs8OGn7le5+6I2X5vjExAP3k6k8PIIgfNcchoWm5KUz/DgZ50kQCP2pBBH960bsP07+TILpdLrlBfBM/p28/yAenwDUedIfnpn2KMArEbzEzD1Dxtm1Xg9Tn5IXcm+d5+QzaL4sGiyMSA+0zdteKr3bTJO/RTeXqFgU3TYo1fK6bzYr5PW+7hB4xYB7uzgrEIrvosz7189FoEacsfUDjCA5bJWE6nA4TFEBzwXh4vAwLh7tYZN55UYeDdBvuV3N54/nbzjhdjqdrZcXeLTHmLMweB087UeizG07d76KwA+SSJMe31LKRghWPEqW8k6Rtg/COTo60vPnz9Mh0Hd3d6pWq1tF0e7ZOZnlyRjag3filRF52MqigQfgJ9PnBOAhsS8iLgvQLg9FuS9JEv6ErMg051l9r2/lz9zzp42r1Spt28w9IEjVJQj3pl0L5Hts6/Y+ghxyrx0izhNd9D1ExOLn792if4ETsU802sd1IAC8QN/eS/97DS6eMc/j+qtHJbn26n2HUwGBMd4uk/n3ncw9eZtrrMgMfsg6khHtJEokFwL5snDwHNyLuvfxeJyeLV/oyMM42VJtwCKBd0p/uqyVw8eRuUJ/+/EAvV5Px8fH6na7qa3MB18kvf9ZRBhjSsiIPndJZ0WhcNJlRZaUMvEYpWs8Xo6EIZbLZXU6HT1//lyvXr3Sy5cv1W63tVwudXt7q4uLC9VqNV1fX6cQCQL1pIwDUmJg2Ev+4sULPXv2bKu0i2Jvn4yu8fpB63k4Dqnk4TH9kCcpWOHR7Ugw+irvh/a4l+e6G33uP9Lug02kR0LMyc1DfdeXpe0NFvSTl6pxX68oaLVa6XUxeHB+WD0eFR6Ov8TUZYJdERMeDREIO6MIpUejUZqEvmHFI4Y8yuD/OFQFosEb9OiK/vVMOyTrhEm/PWUzXppH0opXTp2cnOjk5CS9oJWEkT8jY5tHLD7+i8UibeF1ss1tBk+WA2ZIECLxecXOavWuSsO3CFM6+dQcxHY2m02qXtjf39fR0ZHOzs50dnamo6MjVavVVJHBou9aMjaCY5CPN14+4/lDoNB3pEmPIbKkrclLZxB2etkRwny9XtfJyYk++ugj/eQnP9GLFy/Ubre1Wq10c3OjTqeTPEE2T3g46CI+IPyQ3p2Ednl5qfPzc3300Ufpnq1WayvU4nANiIBDfNhmiUfhnpuvrB5yYyT+pgJ05aOjo3T4j2vF/rod9+LIGkvaIlwqRHwzh9dSsvKXSqUUrrpH4xPfw228J9fLXfN0rRTPCjI9OjrSs2fPdHh4mIra/bQ27CA/Lcr1S/doIFyXAbAdxqlUenfEaL/fT+TkddSeN3BNF+LxNxTQJiQLjxB4dj8Fj/7FbvBON5tN2mbMwdoemVUqla2TtJ49e6YPPvhAH3zwQUr0ImnhFEDAePRcj0jHdzISfY1Go63EJAsD5YtUS2CT/n41l9Toi36/rzdv3ujy8nLrdTm5h+kJX6QV7KTdbuvFixf65JNP9OrVKx0dHalSeffq+l6vl/Io19fXKVdERQpzlvHNNyfRt17xUhQKJ10fHOnxNcm8NRePiN+Xy+VUztPpdPTixQv95Cc/0ccff5xe6bNarXRwcKBK5d2J8G/evEkJAQbbQ2wAUZRKpUSQknR+fq7b21tJ2tLMMA6vY6Q86Pr6OoU8hDEkpCD1SuXxzQ9egA7xUtt5cnKi58+f6+Tk5GtlWOhl/ED6hOloeb5gHRwc6Ec/+pFOT09TTS4T/fb2NpVv1WrvXvbX6/XS8ZYe0nr5FfWmnCuLUdPfTHrIlrFlPA8PD3V2dqZnz54lrw8CdYnBs/X0lUcarl/66W25RAHBkdTCAxoMBl+TlZx0/WBvr22mvtnL3HJpwT0svFByEd1uN9nu/f29Li4udH5+vrVNmkWw1+vp9PRUZ2dnOj091enpaSpnRHqSlLxj+hvbpiTRt2zjfbJwMg+R7zh4am9vL5VPcgKge7geFXnE1O/3dX5+rrdv32owGGydk7KrmsgrXdbrdYqInj17po8//livXr1Kc3w6naZzp5lHVDthLyyyjAtOhj8rEpLzUxF476RL59Zq797N1Ol00oojPRaB+w4ef205SZ56va6joyO9evVKn3zyiV6+fKler5e0rHr93dsZzs/PU70vYZFruLvKe/h/EgFMvjxc4fN5Eb+Xp0H2GI+H4cgUJAKPjo7SxGFiQLr8znfFSY91o161wA+Sg09arvejH/1IL1++TIY7m800GAx0cHCQiAeCPjw8TAtDXiK22WxSlcP19bX29/d1e3ubvDQmny+qeIqMZ7fb1eHhYSrL42xidED3Rvx7fkSja9keJfiOO8+wc33fKtrv91MOwLfJYpN4pNQg4+lBQE66LiXQR5y/e3d3l8q3XJ8kf3F3d5fGBFlks9mkiAfv1sNsanQ9K89C4e2BuFnMeGMDjgaHsONwcB2kFNr7/Pnz1G6XFHJvkfnCwsPc/65z0KUoNiidnp7q+fPn6WW1i8UibS5iPvX7/XQ/r/nGM4ZjIGGXMJFWdrXtfaD0LVm77y2lR0i6K4nl5TDftOI4wTyVUCFsyvWr7wI3Hp+sTw2EX9/lC09e8ePPybP6v/Pf57/bdW//8fvmScO833Z93z//bffOn9llm13X/Ka2PDXe+QT1tuTjnv/9qckN8r7K5Z+n+mLX+H1T/3yX/t01fv75XTb/77UNb0NuM99mo35ff+Zvurcvnm4X3wV+fdfVn5rvu2zer+Wf22WXfAap6HvEk8ZRGOkGAoHA7xCeJN3CX8H+bfg+3Pvvuqr+UO143yFM7lkVjW/q/x+iPd+G37b2fpun/j7uleN3YR5+3/f5rghPNxAIBL5/PMnixZ9rFggEAr/DCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBCNINBAKBAhGkGwgEAgUiSDcQCAQKRJBuIBAIFIgg3UAgECgQQbqBQCBQIIJ0A4FAoEAE6QYCgUCBqH7L70uFtCIQCAR+RxCebiAQCBSIIN1AIBAoEEG6gUAgUCCCdAOBQKBABOkGAoFAgQjSDQQCgQLx/wDNcpx0mxdJ0gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 36\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 37\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 38\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 39\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 40\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 41\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 42\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 43\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 44\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 45\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 46\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 47\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 48\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 49\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 50\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 51\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 52\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 53\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 54\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 55\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 56\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 57\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 58\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 59\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 60\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 61\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 62\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 63\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\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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DAUVFRXj66aexatUqaLVa/juZmZnYtGkTKisrcfz48aDvLViYr1QsFsPr9fI+1JmCdcaZJBTf4FSZ6efGfueCggJs2rQJGRkZAACFQoGlS5di3rx5WL58OT777DOcPXsWg4ODcLlcE7ahqakJ7733HuLi4vCjH/0IMpksaB+vL2x81NbWYt++fTh79iza29tDun+O4yCRSCAWixETE4OSkhIcPXoUjY2NQZ9jMpKSkvDoo49i1apVqK+vh9frxYkTJwRxKzBmXHTZDxQfH49nn30WP/nJT5CXlwe5XI6UlBR4vV786U9/mnT6ESxqtRoqlYr/8bxe76Qdbywcx6G9vR2VlZVYuHDhLTnXRSIRurq6cPDgwUkFl4W6ZWRk4OGHH8YTTzyB9PR0vk2+bcjPz8fjjz+OqqqqkPysk11fq9UiOjoaiYmJCAsL46febW1tGBgYmDSEx3eB5vtOsPciFosxa9YsJCYmIi4uDnK5HENDQ2hvb0dPTw+Gh4eDDn2aCI7jEBkZiSeffBL5+fnjPtNqtXjooYeQn5+Pzz//HLt27cKNGzcmddM0NTXh0KFDuPvuu5GUlDSltolEIni9XrS2tqKysnJKgsv89cxYmq5QTEZ0dDSee+45vPDCC4iOjsaCBQswd+5c/PnPf0Z8fDx/HzPNjIsuW5UuLCxEfn4+H5PHcRxiY2Px5JNP4tq1a9i7d2/QizoT0dTUhG3btsFisSAxMRFXrlxBZWVlyCLA/e/CUUtLCywWy5SF1+l04uzZszh37tyE/kIWmxkREYFVq1bhscceQ3p6+rhoB9Y2kUiEVatWYc+ePTh06FDI7Qp0/VmzZmHu3LmYM2cODAYDHA4H2tvboVQqcfPmTZhMpoCr+sxKF4lEfIzw9xX2PNhMJdC9KBQKhIeHIy0tDdnZ2UhISIBCocDg4CDvV3Q6nXA4HNPyPAoLC7Fq1SoAo1/Evi+I9PR0PPbYYzCZTBgaGoLL5Zrw+i6XC2fPnkV5eTliYmL8xrdPhtfr5RdB/UVyTAbHcaisrMTBgwcxf/58tLa2YufOnZMaKsGiUChQXFw8ar1GpVJhyZIlmD9/Pm+pCxGrK5h7gS1A+SISiaDX6/mV6+nAZDLhiy++wOnTp2EwGDA4OIj29vYpnctisaCurg5GoxFJSUl82E0otLS0YNeuXRNGJACj37BsmjrZd2NjY5Gbm4uvv/76lqfPHMfxiSgsHE0kEvGLETabDWKxmF9AdLvd8Hg8owYXezmwv++76PoK2tj7lEgkfLiaSCTiLdqrV69CKpWC4ziYTCbeyp2OZyGVSjFv3jxeNCYyAsYmAEz2exiNRuzatQsLFy5EZmZmSO3yer2w2+0wGo2oq6uDxWIJ6XhGTU0NfvnLX8JgMGBgYAAdHR3TtrApEokQHh6OsLCwcc/CX3LGTHLbai+wONzdu3fj2LFjIYWGTIbT6URTUxOamppu6TwOhwM3btxAVVUV5s2bh9jY2JBE1+12o7S0FMePH5+083D/m53X19eHsrIy5OTkYNasWaPiNMcikUig0Wim7YXldDoxMDAAk8nEizDrnExo2Mou+6+v2PtmVH2fBRf4/9Ndf/5m3+fAXkgs1AsAH8omEong8XimxbUA/H/300S/t0gkgtlsxrfffouysjL09fUF5Vt2Op04duwYvv76a6SmpoaURejxeDAwMICqqipcv3496Hh6f22YjnHrD7vdjmPHjiE/Px9PPPHEhONqprltotve3o4tW7Zg69atU7ZEhYCFGU3Fkuzo6MBXX301KlEjEEx0bTYbqqursXXrVrjdbjz44IOIjY0NeNx0WVG+5/MnEkyEXS4Xn1wQ6Hvfd8EFJr4Pdt+TPauZaNNk5+3q6sJXX32Fbdu2oaamxm96ciB6e3uxf/9+rF27NmTfrsvlQnd3d8A4+DuBxsZG/PrXv0Z3dzeef/55JCQk3JZ2CC66HMfBaDRi8+bN+OSTT2A2m4VuQkiIxWLEx8cjMjIy5Pi9iooKXL58OaRjmIV15coVvPPOO7hx4wY2bdqEOXPmjLNwmOUjkUgEjS+dCUH5vhFIcGcSiUQSsLaA1+tFfX09PvvsM+zfvx8tLS1T8qtXVlaioqIiJNGVSCSIiopCfHy8cPULpkhbWxvefvttDAwM4PXXX0dqaqrglccEfUJMUE6cOIGdO3fe8YILABEREVi0aBF0Ol1IP47JZEJpaWnATJxAMF+i0+nEzZs38fnnn2Pnzp1+IxQkEglSUlKmbYV37ILdRIjFYkil0lsqZvN9hN1zsOISyjOdDLVajeTkZL8v/4GBAezcuROff/45jEYj7+YJ9dpdXV0oLS0NaWyKRCLodDoUFhYiIiIipOvdDkwmE3bt2oWysrKQI5umA8FHDBust5r1IZPJEBERwWc3zRS5ubnIyckJ6RiO43DixAkcO3YspB9ULBZDr9dDo9Hw1ddGRkbQ3NwMi8WCyMjIccckJycjMjLylqd1LJuIWc2BrCTWxtTUVMTGxsLhcKCnp4dfSHK73TMe1ysUbEFTKpVCp9MhKiqKX93v6upCU1MTzGazX4uXRT/IZDJ4PB4+q/FWiIyMRHJyst/PzGYzmpqaMDIyAplMBq1Wy2d1BlM1jcFxHI4dO4YTJ05g7dq1IYl2Tk4OcnNzYTQagz4mVFgWYX9//y3N7lhY2u2wzAUVXRZStHTpUuTn5085KUKn0+GJJ55AcXExDh8+jO3bt0/ZeT8RYrEYixcv5sUu2A5YU1ODjz76CNevXw/penq9HgUFBUhOTkZvby9aW1shlUqRlpYWMEfeYDBg1qxZIV1nLFKpFCqVik/AYCX1xnZqmUyG2NhY3HfffSgpKUFKSgpcLheMRiPOnz+Ps2fP4ubNm7z4ft9hC5WZmZlYunQpCgsLkZaWBplMhqamJpSWluLo0aPo7Owcd7++hXgAYHh4GCMjI7f0XGbNmgWDweD3M41Gg7S0NCQmJsLj8SAxMRFRUVFobm7G5cuXgypQxGhsbMRHH32EjIyMoAwONi4iIyOxZMkSHDhwYEZeukqlEo888ghKSkpw7NgxbN++fcoG18KFC7F06dLbMlO7LXPDtLQ0lJSU4OTJkzCZTCEdq1Qq8fzzz+PNN99ETEwMVCoVjh49Oq1ZbQy1Wo3Zs2eH9DYcHh7GgQMHcPLkyZB8fnK5HAsWLMDjjz+O1NRUdHZ2oqGhAWKxGEVFRQFXW9ngnipyuRxqtRo6nQ4ymYyP5xw7aKRSKSIiIrB27Vo888wzyMrK4ouTpKWlQafT8XUT/lp8vl6vF3K5HGlpabj33ntRWFgIg8EAiUSC7OxspKenQ6FQYO/evXyUAIM9Q7FYzNdwlUgksNlsU45HZ+fxh16vx7Jly/g6CHPmzEFcXByMRiM8Hg/Ky8uDvq7X60VZWRkOHDiA5OTkUdmQE8EqeKnV6hmp/REVFYWHHnoIa9euxYoVK6BWq/GnP/0pZIMrPDwcJSUlSE1NnfY2BsNtEV2pVIrZs2cjLCwsZNFdsmQJXnjhBT5WcdasWTMWZyeTyXh/abDJEWazGTU1NSH7q2NjY7F27VqsXLkSYWFhmDNnDnJycnirJZi43VBgRWFiY2NhMBjAcRzMZjPMZjOcTue4gtNSqRTZ2dlYv349X7XKF5PJhJ6enpBWy+90vF4vbDYbXxENAB+fq9VqMX/+fKxfvx51dXU4e/bsKNH1eDxwOp1wOp188Z24uDgMDAygu7t7SsV8JvqdZTIZ5syZA7VaDalUiqioKKjVaqSnp2NoaAhNTU1oaWkJ+lqsH1sslqBEl40PlUrlN2V+OlCr1fysLiYmBi+88AIuXbqEsrKykM4TFhaGzMzM27YecVuuynEc2traQp4aSKVS5OXlIS4ujk8XtFgsM1ZRy+12o7e3N6RstImq1wdCpVKhqKgIK1euRGxsLKRSKW99Op1OKBQK3nIa246pClxERAQWLlyI+fPnQ6FQoKmpCbW1tXxc6VhBUCqVWLBgAXJyckZZ1h6PBy0tLTh58iQaGhqmNd76TsBut6O+vh6nT5/ms/SYqCgUCuTk5GDBggWorKwcZXGx8C632w2lUonMzEykpqbC4XDgypUruHTp0pTStycK01Or1UhJSYFcLodSqeRTaVeuXImKigr09PQE/fuwXT+CzU5jsdl9fX2T7igyVaxWK2/MeL1exMXFYf78+Th16lRI48BsNqOtrU2Q2rn+uC2i29HRgQMHDoS8+CMWi/nauzqdDm63m1/MmAmsVivOnz+P9evXIyoqKqhj2NSlvLwcVVVV8Hq9EIlECAsLQ1paGiIiImA2m9Ha2gqz2QyJRIKsrCysWbMGmZmZfIaTRCLhO7LD4eAtU7YAyTqM3W4PaXrFFsIKCwuxdu1aZGRk8GUWjUZjwE6o0WiQnp6O8PBwvl0cx/FxxZWVlRgaGpqxAXe78Hg8GBoawuXLl1FYWIjZs2fzv5FIJILBYEB6ejpUKpVfvymz/pKSklBQUACdToe0tDRIpVKUl5cHXIjzh8Ph4EXTVzCYRW632/nawiwdWyKRIDMzE2vWrMGNGzfQ0NAAj8cDvV6P5ORk6HQ69PX1oampiU+KYZlvq1atCqlWdG9vL86fPz9jRhBbLGRlVk0mE2w2G6RSaUgum8HBQRw4cAD3338/X3NBSAQVXdZRTp06hRMnToR8vNvtxqVLl3DkyBHcd999sFgsOH/+PEZGRmagtd915jNnzqCiogIlJSVBvRWlUilWrlwJAPjqq6/Q2tqKsLAw3HXXXbjrrrswa9YsDAwM4OzZszhz5gxsNhuWLl2KhQsXQq1W85lMzB84PDyMa9euYXh4GGlpacjMzOQtaYfDgZqaGr6Y9FgUCgU/3WShMUqlEqmpqcjPz0dCQgIkEglGRkZgMplgtVrHpfYyXC4Xv8DmK7omk4nffSKUam7fF9j9DA0NwWg0wmQy8S8eVuTFarX6XSDjOA4ejwc2m40vwh4eHo7ExETk5+djcHAQTU1NsNvt/CIzS5Dx9yLt7OxETU0N5s6dC7lcPipt22g0QqvVIjs7m+8frO1qtRoFBQVYuXIlNBoN1Go1ioqKUFRUBIPBgP7+flRUVODSpUswmUxITk7G2rVrUVxcHPQUnOM4XLx4EWfOnJkx99LIyAjOnz+PoqIiaDQafPPNN6ioqJjS4mRZWRlOnz6NRx99VHCLV/DoBZvNhhMnTgQ1tRpb5YkFgL///vuoqKiA3W5HWVnZjK6UG41GlJaWoqCgANHR0UEdo9PpsG7dOixbtgxmsxlyuRwGg4H3D7tcLiQnJyMmJgbNzc3Izc1FVFTUuC1kPB4Prl27hk8++QQ3btxAfHw8Vq5ciR/84AcwGAy4evUqtm3bho6OjnFtkMlkSElJ4bfKGRgYQE9PD1wuFwwGA8xmMz8lbmlpQU1NDdra2gJuODk0NITS0lLk5eVh2bJlkMvlsFqtMBqN6O7u5hf0JqrqdidWIJuoTSxkTKFQQCKRoLu7G0ajEQaDAWq1Gk6nE6dOnUJpaanftQmPx4ORkRG0traivLwcFosFqampkMlkMJlMiIyM5EP1oqOjMWvWLAwNDeHSpUswGo3jokfa29uxbds2aLVazJs3DwMDAzh9+jSOHz+Ojo4OZGRk4JlnnkFUVBTvAmHWbmRkJPLz8yGTyZCamooVK1YgJSWFF9WioiIMDg7C6XRCr9fDYDCE5CLr7e1FaWnpjKTwMlwuF44fPw6v1wuFQoHz58+joaFhlMgH28dYuv3atWuntZJZMAgmuuxt0tPTg8rKyqCOYUU7fAex3W5HdXU1GhsbwXHcjFm5DJvNhpMnT2LVqlUoKSkJuiOKxWJERESMChZn9yCRSGAwGBAXF4fh4WE+cmBsgRKbzYZz587h+PHjGBgYwNWrV1FTU4NTp04hLCwMlZWVuHLlit94RYlEgvj4eBQWFiI6Ohrt7e2oqalBS0sLuru7+aQNtr8Xqx4WyEph1dJ++ctf4t5770VKSgqsVivq6+thNBqhVCphMBj47YjGtonFRfpaycx3LKQIMwuVveBYe/zVSGC+9fDwcN7vvXv3blRXV0OtVqOlpQVHjx5FZWWl3+ktSwZyu91obGxEV1cXIiIiRi38qtVqJCUlITc3FwkJCeju7kZnZydaWlrGPUOXy4UTJ05gcHAQ+fn5MJlMuHTpEtrb23nfenZ2NhYtWjRKSFjMMFvQi4+PH1dkKtCuvMHg9Xpx8eJFnDx5EjabbUrnCJaWlhbs3LkTIpGI31+QwXIAWGW4yWDbI6WkpAhq7QomuuyGysvLg4pflclkmDVrFkSi7zYM9F0AYFuECAHHcWhoaMC2bduQkJCAvLy8Kf9AvlPv4eFhtLe3o7W1ld9qZywmkwnXrl3DwMAAn3TQ2tqKvr4+cBw3YTys1+vFwMAAmpqaYLPZ0NHRgdbWVrS2tsJqtfIRCixoP5iEBrvdjvLyclRWVo5aLGSWfGxsLLRaLdrb20dtKshEzld0fdvpdrsFiXhgg9JXbHxfAr4vABahkJCQAK1WC6vVioaGBlRXV/PtHh4eDmphivlcnU4nvy+cRCKBXC6HRqPh/fW+9QsCPQ+Hw4HLly+jsbERIpGI3zcO+M5Xee3aNZhMpnGx2x6PByaTCa2trdBoNMjJyeFjfqcqNmwcsBkXM4RmEubO8YdcLkd4eDhflnUyjWhoaEB5eTlSUlL+Ot0LAwMD+PLLL/Hhhx+it7d30u+npqaiqKgIHo8H586dQ1NT023bv2p4eBgHDx4EAPzsZz9DYWHhLZ3ParXiwoULOHLkCLq6uqBQKHD33XcjKipqVKWqwcFBdHd3j9r9lllPk2U4uVwutLW18VYx25TRYrGMqp7l9XoD+nEDYbfbR4mNXC7na1TExsZCJBKhpaUFNpsNHo+HF9yx+IqxEKLLMpD8+Z1Z+7xeLyQSCdRqNRITE5GRkYGRkRG+IPlUY2xZQSNmVTPBZKJpMpmg1+v5lfWJ+jrz+7Ldc9m9MNFmC3q+fclsNqO6uhrl5eVoamrik2p0Ot2U7oed98KFC/jtb3+LQ4cO3dZ9+WQyGZKTk7FkyRKIxWKcPn16UuOup6cH7777LkZGRrB+/fpbTjIKlhkXXRbaVV5ejmeffTYox3xycjI2btyIkpISOBwOhIeH8zuK3g5/ILNq9uzZg9bWVvzzP/8z1qxZM24zP99OPhb2mclkwjfffIOtW7fiwoUL/NbrbHrJwrFYZEZXVxd/LKvuFYyLg0UWtLW18WLhu5uub1jYrT5Tp9OJ/v5+mEwmxMXFITU1FXa7HT09PeMWhHwFnonuRFXLpgvf5+avDb41jBUKBaKjo5GamoqwsDB0dXVhYGDglovsM8Flosvu2ev1wuFwQC6Xw+l0wmazBfWbsHuSSCT8PTG/8/z580eVnzx79iyOHDkCo9GI+vp62Gw2SCQS3HvvvXzizUT9duxndrsdBw8exG9/+1tUVFTc1g09RSIRIiIiUFJSgg0bNkAulyMpKQmffvrppLHJ5eXlOHXqFA4dOoT777+f16uZRLAt2IP19cjlcsydOxdLlixBamoq3G438vLycOLEiVE1S28HrML+v/3bv8HlcmHNmjXQaDSjyh6ykBvmo/UN6xkcHMThw4fxwQcf4OLFixgZGYFIJEJNTQ22bNkCrVaLH/7wh1CpVLhx4wYOHz48KjLBN5RsMnwXFDweD+9CmKmpPBP4iIgIqFQqGAwGPgHAV+jHCh6zPoUQXV/RC9QGlqFnMBigUCjQ19eH1tbWafNV+r7o2AAXi8V8u0IJuWNt953xtLe34/Dhw5g9ezZvpZeVlWHLli2oqanhre2ysjKMjIzAbrejpKQE4eHho8IRmV/U7XbzkRXs5WS1WnHw4EH86le/4t0ttxORSITo6Gjk5eUhIyMDUqkUixcvxrlz59DV1TXhy5L1Ofb7CqEvgvt0gxlYra2tOHLkCL8qXlFRMaUtQG4FNkj9XbOxsRFff/017rrrLr4ACStQ43K5IJFI+BVvjvtuq+rm5mYcO3YMO3bsQFVVFW8Bss595swZ9Pb28gkS1dXVOHHiBMxmM98GJp7sehPB4kMjIyOhVCoxODgIu90+Y8+QBcZfv34dUVFR/LWYkPjzGbMptxD+tLFi668NUqmU/w7bG663txf9/f0z+txYlS6DwQC73c4LxURjhRWMZ/fG2mc2m7F//36YzWbMmzcPHR0d+Pbbb9HY2Diqz7DwK3a9lStXIjk5edTOIMzvzwwI363VS0tLA07ffcPphID5cCsqKiCTyeByuVBVVRVSaYC/Sp9usDidTjQ2NqKzsxMHDx6EXC7HwMAABgYGBBNdVlnKt2P7otfrkZmZCb1ez1sHbJrHct89Hg/sdjv6+/tRU1ODo0eP4vjx42hqavIbg+l2u3Ht2jU0NjZCqVT6rfTl257JOrRMJkNkZCQWLFgAtVqNmpqaGRUP4LvfjrkUmN+Rrd5PdF0hftfJrsHEF/jO6mHuEpPJNC179010XYlEgpiYGOTm5vKx0pPVaPCdsfj2Ba/Xi+7ubuzduxcHDhyA3W4P+IK22+24cuUKLBYLrl+/jlWrViEnJwcRERGQyWSQy+V82rPvDMu3//tbSGRWMZtZzTQcx6Grqwu7d+/Gt99+y++AcqcWXrrjRBf4rkMNDQ2FVBlpOpHJZEhMTIRSqURfXx8fv8iKvjz22GN49NFHERERMcr/w1akmYXHpm+1tbW4ePEiurq6Jp0+ut1uDA8P+33zBhuDKBKJ+NRTVkmpt7cXdXV1fr/PVvSnQ1yYj9rhcPDieyfF5U4EE16n04nh4WEoFIppy7BjyQz+REAsFiM2NhYFBQVwu92wWCx8TPVkLyvfsDdf2GaYk+HxeNDZ2YmKigp+4VCpVPJpxP76YWRkJH784x+jp6cH//M//4P+/n643W4+iiUyMpJffBRK9NxuN19i9E7njhTd241KpcKyZctQVFTE79vU3d3NZ/asXr0aKSkpAY9nUzGNRoPExETk5OTg0qVLIfkGJ0oumAyJRIK4uDjcddddyM3N5cOU/MWhzp8/H8uXL4darcalS5dw9uzZKadVsxRUqVQ6I6U2hYI9e9+djadaU0Kv16OoqAgLFy7kE4OuXLkyzjqVSCSIjY2FXq9HX18fbt68GTDTbSxjRTeUlxx7QSckJPC7GbPMyECIxWJkZGTg9ddfR3Z2Ni5duoSRkRHExMQgNTUVcrkcp0+fxpdffjnjcfTfR0h0/RAZGYn7778fJSUl/Ioyq3+g0WigVCrHdWx/gigWi2EwGHDPPfdALpcjKioK3377LZqbmycUJVYbNSMjA1qtll/dttls6O7uRltbGwYHBwNaTfHx8bjnnntQWFiI8PBwtLW1jVtQkMlkePDBB/HWW28hLy8PIpEI7e3teP/99/Hhhx+GXBdDo9EgISEBUVFR/BSZtS+QP/VOgi1KSSQSvrpcZGQkNBoNX9s4VAGZNWsWnnvuObz00kuIj4+H1+vFlStX8Jvf/AYHDx7kV/yZW8ZisSAlJQWFhYXo7e3FyMhIwFKZUqkUBoMBiYmJiImJgVqthkKh4ItA3bx5E0ajccIwLqVSieTkZBQXF2P9+vVYunTphDtzj/39kpKS8NRTT+Fv/uZv+BRzmUwGp9MJnU6H06dP39F7pt0u7hjRZdahr2/tdjF79mwsXryYL/bhm90zUViYP1hm2n333Yf09HQkJCRg+/btuHnzpt/pvMFgwP3334+NGzdi3rx5UKvV/MKOyWRCY2Mj9u3bh9LSUr4CGkMmkyE+Ph4PPPAA1q1bh6SkJAwODqKqqmrc9eLi4vDcc89hyZIl/L9lZGTgqaeewoULF0KqB6xQKBATE4OcnBxotVq0trZiaGgILpeLzypkLw5Wr/dOQSQSQaFQ8ILFok8UCgVfJyEqKgputxvt7e1BW/BisRh5eXl46qmnkJ6ezv/70qVL8eyzz/IzH+A70b1x4wauXLnCRx1s2LABYrEYhw4dGrcVOQuRWr16NdavX4/MzEyEhYXxhXisVitqamrw3//93zhy5Ihf4ZPL5UhNTcUTTzyBRx55BGlpaeNCIP09q7GoVKpxmWwqlQqLFy9GZmYmGhsbg3peMwXrf3eSm+uOEF0mFtHR0ejv70dHR8dtLRGYl5eHxMTEcf/OfjS3243+/n60tbXB4/EgOTmZTwoIhEKhwJw5c7BhwwY0NTWhp6cHQ0NDvLCxTSZXrFiBV155BYWFheOKk3s8HqSnp4PjONTX12NwcJAfjCyr6a677sLKlSuRlJQEq9WKU6dO4ZtvvhmXkMIsO3ZfrO2tra0hL1qyc42MjMBqtfJ1dT0eD797glQqhclkwtDQ0JQ2TJwJWHpsWFgYwsLC4Ha7+Ww9NqvwrdYVygo3W1FvaWlBXl4e/2++UQC+9PT04JtvvkFMTAyKi4uRnJyMlStXoru7G2azmS8oBHwnJCkpKVi3bh1Wr17Nb07qS2JiIiIiImC323H06NFRdY7FYjG0Wi2WLVuGDRs2YPbs2ZNun8VxHDo7O9Ha2gqJRIKkpCTMmjWLN5TGPpvExETk5eXh0KFDQT+z6UapVCI+Ph4RERHo6ekZ9/K6XdwRoiuRSBAdHY2MjAxIJBL09vbeNtHV6XTIzs7225mY76y7uxvbtm3jQ3Nmz56Np59+Gg8++OCE+etSqRSxsbFITk6GSqXifafMugoPD8eCBQswe/ZsPtvI9/pssMTHx/vdvocN5r6+PtTW1qKyshJfffUV6uvrx1mtnZ2d2LFjB9LS0pCamgqLxYLTp0/jnXfeQU1NTUii6HQ60dXVxZcptNlscLlcvIXB2uUbt+yL779Pdy2Gyc7NPmchfyxqgOM4WK1W9PX1QSwWh7zjA8dxqK2txe9//3t4PB4UFRVBp9PBaDRix44d6OrqGvV9r9eLuro6bN++HWazGfn5+XxRKH+CqNFoEBcXB61WO+6ZchwHuVyOzMxMLFiwABcvXuSzGFlSBqv5EBMTw/f1QFitVhw4cAB/+ctf0NjYCL1ejw0bNuBv//ZvA25jLpPJkJ2dDZ1ON6N7GE4EKySUmprKj1sS3f/F6XSiubkZw8PD/IC9XYjF4oCV75kItrS0YP/+/Th//jwAoK6uDlevXkVnZyc2bdqE8PDwccex/9psNn7qzWCDxuVy8bsUREZG+vWtsdA0FhngWzvAYrHg4sWLfNUx5sv1565xOp3YuXMnXySlp6cH586dC2l3AYbX6+WLyY8VNlYngy3k+UYDMKuPhSSxEKPp8v8yC5VdwzdJxDf2mbWdhemxFxSzeKcac+p2u3H8+HHcuHEDS5YsQXR0NGpra3HhwgW/fdzlcvG1Nr799ltwHIeOjo5Ru0z4xtCyqBN/LxKv18vv5uE7G/K91tDQEEZGRkb1z7ECPjg4iE8//RSbN28eVUFMJBKhuLgYCQkJ445j/z+2iJPQuFwudHZ2wmQyob+/f0ZD/0LhjhBdr9fLT7dZfN/twmQyoaamZsJ0QL1eP27PsqamJrz77rsQiUR48MEHER0dDaVSyfuUmOA2NjbyZfvGdtTh4WHU1tbi5s2bSElJGWfhsO/HxMQgOTkZ5eXlowac3W5HW1sbOjo6ghKu4eFhHDt2DMeOHQvpGQXCnzB5vV6+0LrvKjtzp6SkpPCWfVNTExoaGkLewmkitFot5syZg9TUVDidTly/fh3Nzc38C8JX5P09r+mwvFtaWoJ+mbGaGe3t7XxNCt/nygSNWamAf1+r2+2G0WhEXV0df68MFpFx8+ZNNDY2Ijo6GiqVij+P2+2G3W5Hd3c3Dhw4gHfffXdcyUa9Xh+wwDkT/erq6hnbYCAY3G43uru7A8bb3y7uCNFluFwuyOVyfkEgkMWr0WgQGRnJF/Lw9Y1OB3v37sW6deuwePHiUf/OOmVWVhZ+9rOfQSKR4OzZsxgeHgbw3bR+x44dqK+vR3R0NDQaDcLCwqDT6SCRSDAwMIDKykp0dXVBr9dDoVDw+2gxq9Vms00aVpaSkoJXXnkFTqeTL/XHBtXYQRoMwcb/3gpMvJh1GxYWhuXLl+PHP/4xcnNzIZVK0dzcjCNHjuDQoUMBFxoB8P2DLTD6Qy6XIz09HQ888ABKSkqQnJwMt9uN6upq7Nixg8/281fScSYI9Rn7W1AWiUR8NMwrr7wScDt2htVq5S11liUpl8v5MdbZ2Yk9e/bwBXCY1c8K2nd1deHKlSvo7+/nDRCdToelS5fijTfewOzZs0fdG2s3K4Szb9++oJ9PMIjFYoSHh0Ov18Pr9aK/vz9gdAZL7nC73XeES8EXwUV3shz7+Ph4Pm6UbS/CShlGR0fzC0ULFiyAXC5HZ2cnqqqqUF9fj66uLtTX1/OrwlOluroaH3/8MebPn++3wLFMJkNJSQmys7Nx+vRpXkgHBwfR2dmJffv28VvgsM7OsnSkUimio6P5tEuv14vW1lbU19fDYrEgJyeH3+Y7EBKJBMuXL0d6ejpOnjyJEydO4MyZM2hoaAgoQiKRCGlpaZg/fz70ej2GhobQ0NAwLkNOqVQiLCwMcrkcLpcLHo+H3+gwPj6eL3NYV1eH1tbWkGYlzH+qVCqxdOlSvPrqq/jBD37A+3znzp2LgoICFBUVYfv27bhw4QKfIBMREYGsrCxkZ2cjKSkJGo0GVqsVLS0tqKurQ319Pfr7+wF8FwGyePFibNy4EStWrEBkZCTfhqysLMTFxfEvrKnk3EulUiQnJyMrKwsajQbDw8Po6OhAb28v3G43H3bGqof5pl8rFAqkpqYiKysLYWFhMJvNuHr1KoxGY8A2sEXYoqIirFixAsuWLfO70OuLTCZDeno6srOzYbVaodPpkJWVhaSkJIjFYjQ3N6Ourg5HjhzBgQMH+NohDoeD77c6nQ4xMTH44Q9/iPDwcMTGxiI/Px8/+MEPAgo+q5728ccfo6amJuhnGgj2nGNiYpCVlYUFCxbwv19VVRWOHTvG7//GIoWysrKQnp4Om82GsrKyCQurz3TND38IWsQcmLhmgEKhwMaNG/GTn/yEL0doNBr5HOq0tDTk5uaOK8G2bt06OJ1OmM1mXLlyBe+99x727NlzS5bb8ePH0d7ejszMTL++LuC7DpGcnIxHHnkEJpMJ169fx4cffogvvvgi4BRZpVKhoKAAf/d3f4fc3FyIRN/VC66pqYHRaMScOXOC3vY9MTERjz/+OB588EFcvHgRv/vd7wKuFq9atQr/9E//hEWLFkGhUMBqtaK2thalpaX89twZGRm46667+PAh5uNUKpWIjY1FbGwslEolbDYbqqqqsG3bNhw6dCjohRJm7Wo0GhQXF6OgoGDcgmVUVBQ2bNiArKwsHD9+HHV1ddBoNCgsLERhYSHi4+NHRXU4HA50dHTgwoULuHDhAqxWK+bOnYuVK1ciKytr1MuL4zjIZDIUFBRgxYoVuHjxIj9LCRa9Xo81a9bgmWeewYIFC6BSqfj6BZ2dnXy1MJlMhpGRETQ1NaGiogI3btyAXC5HUVERVq1ahezsbGg0GjgcDly4cAG/+93vcPTo0YC/3T/+4z9i0aJFQZdiFIvFmD17Nh577DEUFBTwY4fVm62pqcHmzZtRVVUVMP6Y4zjcf//9ePbZZ/mwtImMAfY7trW14fjx40G1MxAikQiPPPIIXnrpJeTl5UGv14/bJLOoqAgbN25EdXU1L6yJiYlIT0/n9eP999/HH/7wh4AL80yPhIymEUx0mTWj0Wj8TpvcbjeSk5OxZs0afj96g8GAtLQ0v+cbGy8rl8sRGRmJlStXQiaT4fz58+jq6pp0ZXYszN/ldDrR19eHzMzMSY9hdQ4MBgOqqqrw1Vdf8ftejW0zm/bm5eXxPjG2i8Tg4CBUKpXfyISJ0Ov1fHhRZWXlqOmgx+NBREQEnn/+eaxevZo/RqPRIDo6GosWLUJdXR3sdjvS09OD2qgvPDwc8fHxfNlDtqDoe59j8X0WbDNHdp9jn5NMJkNubi5iYmLQ3d0NnU6HhIQEvwNeoVAgLS0NiYmJWLx4MSwWC2JjY8elaPteh21NbjAYRr0cA/UT3/YtXLgQr732Gu6+++5R32FW4FjYYpjRaIRKpUJWVtaoLc01Gg1KSkpgMplQXV2N/v7+UbV9o6Ki8NRTT6G4uNhv2yZCo9FgyZIlyMvLg8FgGBWHm5eXh/T0dD492V9fVavVWLRoEQoLCycNKfOlr6+PX+ibyvhzu92Ii4vDq6++imXLlo37ju/YnzVrFpYvX47ly5eP+57BYMADDzyAPXv2wGg0+m2LVCqF1WoVdDt20SQPZNrk3+VywWKxTLiaKZFIRsUchpoK67sKa7FYbmnawBZ6Qv0xWN3aQNdmwfismpMvgSzqYGFxpmOv7Xsv7BoTJXlM1CfYsWyxxHfngmBhW4NPZDUFakeg9o5NhZ3sObpcroD7wU0ES3VmUQP+6h4E0172GTtHML/dVPHXrziO4xc4A7VfLBZDpVIFvQ07I9C9hALbAp61O5hx7wv7vsfj4TMkJzqebZk1jQRssGCiSxAE8X+IgKIr+BbskzFdcX3TFec5E9eeydjFYKbIQlxvMm5n/CbjTmu70L/dRNe81WvfzvE3FiF1JxjI0iUIgph+Aqr4zG4GRBAEQYyCRJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkBIdAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBEQ6yeciQVpBEATxfwSydAmCIASERJcgCEJASHQJgiAEhESXIAhCQEh0CYIgBIRElyAIQkD+H3B0cBAM0Q9yAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 67\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 68\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 69\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 70\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 71\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current iteration: 72\n",
      "Starting forward run...\n",
      "Starting adjoint run...\n",
      "Calculating gradient...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "algorithm = nlopt.LD_MMA\n",
    "n = Nx * Ny  # number of parameters\n",
    "\n",
    "# Initial guess\n",
    "x = np.ones((n,)) * 0.5\n",
    "\n",
    "# lower and upper bounds\n",
    "lb = np.zeros((Nx * Ny,))\n",
    "ub = np.ones((Nx * Ny,))\n",
    "\n",
    "\n",
    "cur_beta = 4\n",
    "beta_scale = 2\n",
    "num_betas = 6\n",
    "update_factor = 12\n",
    "ftol = 1e-5\n",
    "for iters in range(num_betas):\n",
    "    solver = nlopt.opt(algorithm, n)\n",
    "    solver.set_lower_bounds(lb)\n",
    "    solver.set_upper_bounds(ub)\n",
    "    solver.set_max_objective(lambda a, g: f(a, g, cur_beta))\n",
    "    solver.set_maxeval(update_factor)\n",
    "    solver.set_ftol_rel(ftol)\n",
    "    x[:] = solver.optimize(x)\n",
    "    cur_beta = cur_beta * beta_scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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7HgO+H0gA7wI/LaVcaNQaWs3JK0EGOj0MdXlrel2X14XP7Wi5xn/s8iKAkQ9eLx6Xw5I8/mo08QtzEVIZydY1XVB+BEJRymn824a66PA4LdP4YSnl8qPXuvmLn32w5tdXkovW9Xg5EIghpUQI7eri/FyEjf0ddHldbRHcrUbeU1RHIz3+LwIfLrjvSeBmKeWtwDvAIw3cfsvRA7v6D61ahBCs7fa13OM/NhnAIWq/YimFx+mwROqpJtvozHQYwLzU4y2e1ROMpbIev4tYMlNyWEutTGW98aTJ99u3Z4cx3lInVy4a7vGRSGVYiCxdxVyci7BpoIMOj8v2Uo/qJGotjZy5+zwwV3Dfd6SU+q/pZWBjo7bfajIZyamrQdNGc6i79dW7xy4H2DbUha8g7dEsHpfTku6clYwcwJnpEABbh7pMbaPYFC4pJYGoFtzt9Gr7xCqJZDqkfddJk7tn764RfvUD243bhXKR3p00V+65MBdh84CfDo/T9sHdauQ9NVugelqZ1fPvgX8o9aAQ4iHgIYDh4WHGxsZMbSQUCpl+bT1MRzJagc/iJGNj01W9Rl/ri5NJDl9MkMjAHb/9LX7oejf3bnA3eMXLefNshOv7HUX3n5n9KlMJLlyaZGxstq519QG71woOaj3V8DrhJ2900rd4ysg2+u7hOD0ewfgrB02t9eolzTN+4ukxOt3aFVs8LUllJDOTFwi7tPueevZ5+nz1+0/nrmTz6eNJ08ere0EzjL/yHi+3r3VAzv64PK899uR3X+XqkItwUrIQSZKcv8KVjPa5nnrm2WW9e8rRzN9WMRlLv1//zXzxiPab0e//9D8e4tjxY9zaE2+JDTBDs/ZpSwy/EOI3gRTw96WeI6V8HHgcYPfu3bJYOl41jI2NFU3lazRPHrsKz7/Ox793N+/Z3F/Va8bGxljo3c7fPn3YOIBnY5K/PZ5m5407m6pnzocTzD3xJA/cvp3R791WdK217tee18cYGOpldHRX3ev70sXXGYkEuHF9N2dnwnzmJ/LX8ufHX+SGEcHo6D2m1nr1tQt86cRhbr/zbkayEtJUIAZPPs1tO3fQ4XHyf469xe2738uWNebkpFzCz38HSILDZfp4dZ2agZdf4Z7du3hvduSizra5CL//yrOsveZ6Ru/azJGJRXj6uzxw5y1MLET52qlj3Hn3++jtqN7BaORvK1fPH+r2ItBGlxYy0udndHSU33z0GeM3o5PIwDcvOLn37q6W2AAzNMteNT2rRwjxKbSg77+Vre5J0EBOXgkAcH2Nefh2GY5x/LK2fisyenQ0jb9+SSGdkbx8Zo57tw1y68Y+zsyEl/XVOTMTZptJfR+KT+HS0zt1jR+wJMAbT6UN7d2s1ANL3UQ7vcv9ueGCtg3ns6mcmwc66PBospVV6an1UqjnTwXjSCjbSVTNFqiNphp+IcSHgU8DH5dSRpq57WZz4kqQTQN+Y5pTtdjlAD6WNfw3WpTRA9msHgs0/mOTARajSe67bg23buxFSjg8sWg8vhBJMBdOaBk9Jik2hUtv0NaTo/FbERSdCSWMv+vZPXpmTrFjzuNyMNjpMap39eKtzYM5ht8mOn8x5we0z6Wb/sIYhpotUBsNM/xCiC8BLwE7hBCXhBA/A/w50A08KYQ4JIT4X43afqt552rtrRqgsQdwLcGvY5cDDPd4WVNjKmo5rErnPPjuDIDh8QO8fWnJ8L9bZ0YPFJ/CpTdo6/G7LDWWudlbZrN6AMJlPH7QvH69X8+FuQiDnR66vC6jZ5FVdQn1UsrJWYwm2TjgZ+/tG5YVE1bqvaTIp5FZPT8upVwvpXRLKTdKKT8vpbxOSrlJSnl79t/PNWr7rSSRynBmOmwqo6dRB3Ct6XDHJgOW5e/ruJ2CZKp+de/g6Rm2r+1ibY/PGJn4VnZuLtSf0QPFp3DpclK3z21IPVa0ZtYNf6/fXafUoxlu/WqkkHW9S20bLsyF2ZTtGGt8Fpvk8pdzfgY6PMxFlhfW6b2XSl0RKPJRlbt1UuhF/9b+w7zvD58hlZH831cu1JxSph/AA52axry222vJAVxL7CCeSnN6KmSpvg/ZdM46Pf54Ks1r5+a4L6cB220b+/I8/jMzYdxOwaZ+81dJhsYfX+7xd/tcdBoaf/1esl6ot7HfX5fhD8dTOATLHAed4R5fntRzzaBm+P2Gxm8Pj79cum5/p4f5cKLo6z5yy3ojADy2b1QZ/TIow18Hxbzov3v5gpF/Px9Jmioy2btrhD/5kdsBePyndltyANcSOzh1NUQqIy3V98GaAq7xCwvEkhnu3baUtXLbxj4mFqLMZHPhz0yHuGaw0xhEYgZj/GJucDe65PHrxjJqgZese/wjfX6jW6YZQvEUnR5XyYLB9b0+5sIJIokUkwsxY0ZEh/FZ7GH4tRYW6wCWdU4d6PAwV8Lwz0eW7rdLvMKuqO6cdVAqCJWL7lXXarx1jydukRdWSwdIPbBrtdTjddWf1fPi6Rkcgrx0xVs39gLw9qUFHrxhmHenw2ytM8Wy2BSuYEzzqDs9TvQEEys8/ulgnIGs3l6Pxx9JpErq+7DUl3/8wgLpjFxm+O1kLGcjSbYOdfLMr4/m3T/Q6ckz8HmvyQmSx5Jpev3Nr31pF5THXwfVZtqYycjxurOG36I2xvv27MBXodpV59hkgA6Pk2sG689Pz8WK4O7Bd2e5ZWNf3o/65pFeHAIOXVwklc5wfjZcl74PFJ3CpbdkFkLgc2knBis0/qlgnLXdXjwuR51ST7qkvg9L/YBeOasV1OuG38qrFyuIJtK8fGaW0evXLnusv9NDJJEmVsQhyr0SsNNJzI4ow18H1WbamMnI8bq0H6NVhn/vrhF+7UPX5933Kx/YXvRK5NjlADesq21qWDXUK/WE4ineurjAfdvyi5M6vS6uW9vF25cWsrMDZF0ZPTrdBVO49D49oJ0Y/G6nZVk9Q91evC5HXVk9oXh1Hv9ruuEfLAzu2sNYvnRmhkQqw+iOoWWPDXR6AIrKPbPhpewouwSq7Yoy/HWwb88OfO7yu9BsRo7P8Pit+zHeu00LiP7+D9yM2ymW9QLSAtVP8+rZOU5eCVre66SePP794xN87x89Syoj+crrF5et7dZsgPfMjJbRU0/xlk5XQYfOQNbj1+nwuCyTeoa6vHjdzrqDu3rQuRiG1HNxHo/LwXC3dttI57SJ4R87OY3f7eSuaweWPdbfUcbw50g9dolX2BVl+Otg764RPvORG43bI31+/t3dm0uO86sF3eOP1WMJCtAvjzf1d/Chm9bx1TcuGfctBaq1rI9wIm1590Ozhl9f22z2xz4TSixb222b+pgLJ3j+HS3Hv57iLZ3CKVyB7NhFnU6vs27PUkqpGf6erMef1u4zQyWPv8evtfuOJTNs6teGyoM2qczrctiiJ7+UkrGT09y7bbBoc0Dd4y+m8+eeDOzwWeyMCu7WiZ5W+Lkfu51P3G5d+pgR3LXQ49d/DH6Pk3/73s188+3LfPPty/zQHRvLpntalRZnVuOvZm23ZQO8//rWJAOdHvqzBqIeunxuFqP5wd2RHNnO73YSrrPoKRBNkUhnGOryEkumkUAqI5dN5KqGSCJNVxmNXwjBuh4f52Yjhr6v0+Gp/yRmBWdnwlyYi/Afv+faoo/rac7FpR6l8VeL8vjrRE/x6/FZm0FgaPwWevz65a/f7eSerYMMdXl45GuHufbhb5bsfmhlqwi300EyLcnUqGNXk4p6w7oePE4Hs+FE3Rk9OoVTuALRZIHH7yJaZ38bPYdf0/jri+uEK3j8sNSzpzBwb5ee/GMntU62ozuWB3YBBjq1SvJihn8uHMeTTeFVUk95lOGvk0BOGb+VWJ3VA0sev8/t5OuHJlmIJkmkM0W7HupY2etEv4pJZmr7TNW0sfjW4cvI7Cc5djlgiURVOIVLy+pZ+p47PPV7/HoO/9pu39J3blKmqCT17B+fMArd/nn8Ut4+8tukJ//YO9NsHeo0qooL6fW7EYKiRVxz4QQj2aI9JfWURxn+OgnGGuPx656LlVJPLEfqeezAyYrFQlb3OtE/U606f6XBK3oMQP88EYviE7lTuKSUhOIpenLSSDs99Y8s1Aew6Fk9YO5kn0pniKcyJYO7+j7SDeJiNJW3jzSpp3XGcv/4BPf+wdM8/840VwOxkt+d0yHo87uZK6Lxz4YThhRnh6sXO6MMf50EonoZv7WG3+EQeJwOaz3+HKmnnIRTb2C6FB6XOcO/d9cI/2b3xpJra1Qr69wpXOFEmoxkmcdfr4GZCiwZfk8dhj9coU9PpX3kd7fO49dPSpPZBnLhePkTt9a2YXm/nrlwgo26x2+DeIWdUcHdOjFa9Vos9YAmjViq8Wffq8PjLFnJO9Ln5+DDtQ/7rgbD8JsI8Ora9LHf/bBRcKTTqFbWS62ZU0bny7x0Tm/9hn86FMfrctDjc+Vo/LW/Z7hMS2aovI86PE7j6sNqKg1JrzWxoFjbhlRamye8rteH0yGUx18B5fHXSSCaxJUt5rEar9thbVZP1jh4XY6WtLE1K/WA1lRsqNu7zOhD41pZ9+Q0astt0KbT6XEZJwSz6MVbQghD6jGzfyq1ZK60jxoV3K2mK2ytJ+5ibRt06Wew00OH26k0/goow18nwZim+5ZqjFUPXouGk+tEk2n8bidCCKMLqBU1B9ViVuoBfTB48YBfo05iuY3aisVy/B7t+0nXUW07FYwx1K1lqtST1bM0fau4A1JpHzUquFuNDFfriXug05OXuglLWT4DnV7bBKrtjJJ66iRQkOlhJV6XxRp/Mp3nMe/dNdLU1rX1aNgX56JFKzmBPK2/lJxgBl02CcaSJT1+0NoDmI3xTAfjXJtNP13K6qlD4y8R3K20jxoV3K3Gm9+3ZwcPf+3tvGLFciduvTWzlNJwuOZCuuH34G9xoLodUIa/TrTc7sZ0AfS4HJZ15wSIJjINkaSqxazGn0hluLwYLZniB405iekefzCeMmI5hRo/aBkkZg3/VDBunNDqKdorN29Xp9w+apSXXE1X2L27RpiPJPidfz0GaFef5U7cAx0eUhlJMJ4yfnv6FcBgl0cLVCuppyyNHL34BSHElBDiSM59A0KIJ4UQp7L/9zdq+80iEEs1JLAL4HVbK/XEkumKvYUaidekxj+5ECUjKSn1NIqeHKmnWL1Gve2M9SHra7M9c+qResrN262GDreLRDpDyoLRmLloElPlrrC7Nmum4K9/aveysYqF6FXZubn8S1KPhw4l9VSkkVbgi8CHC+57GHhaSrkdeDp7u60Jxhrn8WtSj7UtG4oFR5uFWy/gqtG46IPB65moZYYub25wd7nGr3e1NBvg1ZuKLWn85j3+SsHdSnQ0aArX3l0j/OoHl7rCdntdRWNJU9nJYGt7Ks94Lta2YTacQAitiZvfJu0n7EwjZ+4+D8wV3P0J4H9n//7fwN5Gbb9ZBKKp9tH4E+nWSj0mPX7d8OtthJtFfnA3hdsp8grJOutsZ6x3Rx3KDrQ3YiAmNP5K83Yr4W/gFK5cWefDN68r6s1P5VQwV0Jv25Cb2TMXjtPf4cHpEPjdLiN1WVGcZmv8w1LKy9m/rwDDpZ4ohHgIeAhgeHiYsbExUxsMhUKmX1sN8+EYizNXGBubr/u9CtcaWowxG5WWrf/qbJQOt7Dk/czs14tB7cf45luHcV49XvXrDp5M4BJw/M2XOWkie8rsMZCREgEcPnmaYELic0iee+454/HT85qRfPn1N4mcr/2nND6leaUXTx1hbOo4gYSWHXTk+EnGImdqeq9j7yQQwCsHXzCVYXZ+QruiefaFF1nXWZ0/WO1+/fbJBE4B6zsFJ85fLvpbee2Utv4jb7zEiQpzIKYi2nF08PW3cVzRvP8TZ2P4yDA2NkZoIcbcYsZYW6NtgJU0a60tC+5KKaUQomQenJTyceBxgN27d8vR0VFT2xkbG8PsayuRTGeIP/Ftbtq+ldHR7XW/X+Favzr5JouXA5at/w/Gn2dkTQejo7vrfi8z+/Xd6RAcfI7rb7iR0Ro6mX5l4g02rwny4AO1bU+nnmOga+wAg+tGIJRgMLKQ9z7rrgTglRe47oabGL1lfc3vPfnKBXjzMB8evZf1vX4tQPvMAa65dhuj92+t6b3GAkfpmrjEAw88UPM6AGJHLvNXh9/kll13cNOG3uq2WeV+/cKZV7l+XZyRPh+X5qOMjt6/7DkH5t5m4MpVPvBg5fUHY0k+/fx3GN68ldH7twHwP0++xMYOGB29hydm3+ZMaMpYWyNtgNU0a63NjvRdFUKsB8j+P9Xk7VuKnuLX0zCpx2lx5a49pJ5a5atyOfyNRp/CFSwYwgJLUo9ZjV/vzDnYWb/GX2nebiX82c/SCKnn2GSAmzb0MNTtM5rSFaIXslVDl9eF2ymYy2nbMBdOMJgN+vpa2H6iXWi24f8X4JPZvz8JfL3J27cUI+DXoKHOWuVu4/L4m43ZytQLsxE29bfG8OtTuAKx5bEcQxc3GRDVh6zr2r7LIRCY79VjVt+Hxg1cnwrEmAnFuWlDD8M9XmbDiaLf/1Qwztqeyvo+aHMF+js8y7J69CEtHR6VzlmJRqZzfgl4CdghhLgkhPgZ4FHgg0KIU8AHsrfblkY1aNOxOqsnlkgXnWrULMxU7i5GkgRiqZZ5/F1eF0HD4883/Esev/ngrh7YBc2guZ3mK3fr8vgbNH7x6GQAgJ3re4zA7UyRnkBTAW3gfLUMdHqMNg3pjGQ+suTxd3icpDKyrvnOK52GafxSyh8v8dD7G7XNZmM0aGuk1NOAlg2twkwBl5HK2SrDn53CFYyllqXt+twOhDA/2LuYvOF2mOvHX2nebiU6jKsXa9Mgj13WDP+NG3qMIrOrgVhepk8mI5kJmTD8WY9/IZJAyqWxjLpzE02kjWNOkY/aK3VgTN9qlNSTnVFrdgZrLsl0hlRG2kLjr8UTuzifTeVsqcavGf7CKzshRLYnv3mpp9DYuR3CnNSTSNfl8XfUmZpaiqOTi2we6KDH5zY8/qkCnX8ukiCVkTUZfr1tA+QUb2WvnvTPouSe0ijDXwdGcLeBGj9YM4Urd95uq3A6BELUVsC15PE3t3hLp9vrYjGaIhQvXq9htljIGLJezOM32Z2z3LzdSujtJ6wOih7NBnYBhrPFWXqxlo4+k6BajR+yrZmzUo/RriFH6gHzV2KrAWX462Cpf0vjpB6wxvDHEq03/EJow2Vq8fgvzEXo73A3LI5SiS6vi9mwZpiKfc+dJscvGkPWixh+s22ZO+rx+Bug8QdjSc7PRgzDP9jlxSGWe/y5c4erpb/Tw2I0SSqdMSqgB7vypR7VqK00yvDXQSCaRAjoqkNbLUc96X2FRHKmb7UST43VyBdbmMoJWlaPrrQVu7Iz08d+//gEH/xTrRDsL549ndeb3u0Uppu0me3TA+ByOvA4HZYay+OXgwDszBp+p0OwpsvL1QKPf2nucA0af4cbKWExmmQue2IeKPD4Y0rqKYky/HUQiKXo9rpwVKg0NIu3jhL+Qgypp8WG3+ty1BTcvTgXaVlgF/IztooF8TtqlHr0wSS61zsfSeYNJjEj9VSat1stWodO6+SRo5PaYPfcgrC1Pd4iHn/17Rp0dD1/PpIwpJ7+jkKpRxn+UijDXweBaLJh+j5o3TnBWo3f10KpB6hJ6klnJJfmoy31+LtzvOhiclOHV5vLWy2VBpNoWT21fd/69uvJ4wfre/Ifmwww2OnJ8+SHu31cDeQb/ulgnG6vqyYZciBr5GdDCebCCXr9btzZ5AG/MvwVUYa/DgJFUvysxEqpJ2Yjqadaw395MUoqI1su9eiU0vhr8ZIrDSbRsnpq+771yuF6pB7IBqotlEeOTgbYuaEnr3fQ2h4v08GC4G4wxlAVXTlz6c926NQ9fj2wC0vHuNWpqSsJZfjroJHTtyDX8K8cqacWw9/qHH7IN6bFTvL+GoO7lcYMming0g1/PcFdwNI+9olUhlNTwWV9f9Z2+5gNJ/Iyu2ot3oIlPX8unGQutFS1CznpnAlVwFUKZfjroOFSj57VY6XG32qppwaN/+Jca3P4oRqP31WTxv8rH9hOYUQodzCJS9Ru+EOGx1+n1OOu7bOUYv/4BPf94TMk05J/eO1CXvB6bY8XKfOrd6eC8Zr0fVjS8+cjibx2DZAr9SiPvxTK8NdBsWpOK9Hz+GMWSD1Ru0g9NWj8F+eiOB2C9b21GQUr6fFV0vhr08XnwgkkWs55sSH3bqeouXK30rzdarFi/KIevJ4uEbwe1ou4sjp/qXqGSvjcTjo9TubCWamnq4jUozT+kqiZu3UQiCUbNnYRrM3qidnJ469B6hnp8+Nyts4/0adweV2OouX/HW4X8ZQ2srDSOmdDcf78mdM8eMNavvCpO4s+x+2ofSZxOFHf9C2dDo+TyYX6jGW54PXeXSMMZ4u09JTOUDxFNJmuWeoBLZd/NhTP9ulZer3H5cDlEKpytwzK8Jskk5HZas7Gefw+I6tn5eTxu50OglUE3faPT/DtI5dJpiX3PfpM2eHbjUSXekpJenomTSSZpqeE4d8/PsFjB04aQ8ffe23pUdOmsnqsDO7W6SVXCl7roxX1FE4jlbPG4C5oOv/Z2QjpjMyTesCaz7KSUVKPSYLxFFI2rkEbNCa428runLDUf6gculyQTGuVUxML0Ty5oJk8eeQKoKUc3vfoM8vWYPS4KRHg1T/LRI5B/LOnTpf8LGZ69SwFd+tP56zXS64UvB7s9GjVu1mP32jXUKPGD5rO/+5USHvfrnzDrwaul0cZfpM0ukEbWNuyIZrUOhU6G1RsVi3VBHcr5bo3i/3jE3xm/xHjdrETUKW+MLV+FrdTk3oymeob8+nzduv1+DtqDFQXY9+eHcuuKvOC104Hg13eHI8/O2TdhNQz0OkxAtvLPH63tampKw1l+E2yNH2r8cFdM216C4m1eNC6TjXB3UpyQbOoxmhXqhKt9bNkv/KadP5wPIVD1C/j+d1OYsnaTjqF7N01wh/84C3o/kVh8Bq0Zm26xj9tompXJ9fYL5d6XMrjL4My/CZpdC9+sF7qsYXhr0LqqSQXNItqjLYeUC01frHWz+LOWsxadP5wQuvFb2bIei5LPfnrM5gfv20DAL/04HUcfPjBZbGZtd2+PI3f43KYSpLINfa5wV3QZSuVzlkKZfhN0gypx+yM2mJEkxnjh91KqpF69u3ZgceZb8Ry5YJmUY3RNjz+EsaykvRRiJ44VEtAP1zn9C0dq3rcBGMpMhL6OjxFH9c8fs3wT2enkJk5afXnvL9eyavjd6vgbjnKHi1CiPeUe1xK+aaZjQohfhX4D4AEDgM/LaWMlX+VvQg0QeoRQlg2fjHa4rGLOh6ns6LHv3fXCC+9O8M/vH4JgWZoW5HVs2/PDh752uE8D7jQaFcK7upr/rWvHCIjNemj3GdxG4a/FqknXXdgF6wbuD6f7ZPfV8IpGur2MRuOk0pnmArGTGX0AAxkjX2312XEw3T8HmfREY/thJ4NNrkQtfw3UMlNeB04Asxkb+eeliXwYK0bFEKMAP8Z2CmljAohvgL8GPDFWt+rlSx5/I3NiPW6HJbl8bc6hx+qz+PfsqYLgGO/++GWrVv/kZX78elecrhMUHTvrhEe/trb/NQ9W/jMR24su0139kqnFsNfb0tmnaWrl/okEt3wF3rhOsNG9W6CqUCcrUOdpraje/wDXcuvLNp94LqeDaZ/Bj2xALDE+Fc6Wn4N+GEgCnwZ+GcpZajurWrb9QshkkAHMGnBezYVPbhrxQ+uHF63NXN3I4mU4Z22El3qkVKWvbyfjyTwuR0tP1nt3TVS9oemSyzlvORkOkMsmanqWHGblXos+G6t6mq5ENGcolJSz9IIxhhTwTh3bx00tZ3xC/MAnJ+NLKv1sLrTaLOpVAhXL2U1finln0kp3wf8ErAJeFoI8RUhxO1mNyilnAD+GLgAXAYWpZTfMft+rSIQS9LpcTa8qtQyqSeZsYnUoxl7PUe/FHPhhNF6185U4/GHsk5CNQ39TEk9dc7b1emwqNWB4fGX0fhBa8mxGE2aSuXcPz7Bnz19yrhdmGrrczuNjrTtSKMz26o6WqSUZ4QQXwf8wE8C1wOHzGxQCNEPfAK4FlgA/lEI8e+klH9X8LyHgIcAhoeHGRsbM7M5QqGQ6deW452zcbyOjKXvXWyt6USMS5NX6t7O3GKEHhm2bL1m9+vF85o3+PTYc/hdpT3+UxdiuKW0ZL2NOgZA6zUjgOPvnGGMS0WfMx3RjPils6cZS54v+36peAwQvPLamwTOVHeinlmI0Ef93+25Rc1QvvrmIZKXKpuGUvv19XPad3z0zVc571n+Hc/HtP3xrZc06WLu8jnGxmorzvu9sQixZL7zEE2m+b2vv0Xf4immLycIJ1I8++yzhMPWHfeNRt+nAz7BbGy5czTgE5Z8lkrB3a1o+vsngItocs9/l1LWc9r5AHBWSjmd3cbXgHuBPMMvpXwceBxg9+7dcnR01NTGxsbGMPvacnzp4usMpSKMjt5v2XsWW2v/Wy/Q0+dndHR3Xe8tXnyaazauYXT0trreR8fsfj3nPgsnj/Hee+5blnudy+eOHWRzn4vR0ffWsUqNRh0DOl1jBxhav5HR0Z1FHz86uQjPf5c7b7+F0ZvXlX2v0/ufBmLcePMtjO5YW9X2My88ybWb1zE6ekutS8/f9lQIXnqOrdffyOjtleWEUvv1ze+cRJw8zUc+MFp0Ol0qneHXnvs2AVcvMMP9u29j9IbqPqvO3BPfLH5/TDI6OspReZpvnDnJvd9zPy9994WGfv9Wou/Tz/ZO8Bv/+BapnJoKv9vJZz9xC6ONlnqA08C/AZ4AXgI2Az8vhPg1IcSvmdzmBeBuIUSH0ETe9wPHTb5XywjGUg0P7IJWxGWN1GOXPH5tDZUCvPPhREmpwG74K4xfbLTUY3Vwt36pJ0mv311yJKnL6WCw08vRyQBQ25B1nUqptr4279C5d9cIOzd043KIol1c66XS0fK7aNk7AF1WbFBK+YoQ4qvAm0AKGCfr2bcTgVjSVLVhrViV1RNNpo10vVaid7isZPgLe6zbmc4K4xdDNTRRMwq4CvZPqdQ+q+btgnV5/PORyift4Z4lw29G46+UamtVMVqjqCZVM52B921fwxd/+i7Lt1/2aJFS/rblW9Te978B/60R790sAtEU1w01weN3OVnIBsvMks5IEqmMTTz+rOFPl8+CCcRSbePxd1QYvxg04/HnGKxyqX0PZCWSeuftwlJWT73GciGSpK+jfH3L2m4vRwGHgMGu2g1/pVRbOw9cL/d99uU878JchDuuKd3JtR4qHolCiO8DHgF0AfMo8IdSym81ZEVtgtaLv3HFWzpaVk99Hv9SL/7WF2pXU42spwMOlMgDtxsdFcYvBnWPvwbDn1vdXC61765rB7T3tkDq8Ti1Jn71NmqbjySMvvul0B8f7PKabhxYLtXWzsNYyn2fv3+3dgAsRpIEY6mGTZ+rFNz9j8DPAp9GK+YC2A08KoTYmA3ArjqklA2fvqXjsyCP3y69+GGp/1A5qWepAKhdPH5X2auyoNHXqfLxYhRw5ch75VL7rJq3C1qleIcFrQ4WIkl2rOsu+xxd3jEj81SDVVcvjaB8qqZWzKbPm97Y3xjDX8kF/FXgQ1LKZ6SUgey/Z4Dvyz62Kokk0qQzsjnBXZej7u6cusdvizz+Kgz/XLh8Hrjd6KwwfjEUS+FyCOOkV45iwd1ygUyr5u3q+D3Oku0nqmWhCo1/bdbjb5Tht7PUs76v+NVQ7vd8ocHzpisdiUJKOVd4p5RytiGraRP0zpyNnL6lo2X11Ofx22XQOmgTuKB82+H5NjP8Wh/7MlJPLEWXr7rumcWatJVr9KZv14rgLmQrXutwNBKpDOFEumSfHp2z01oDgGdPThcdcFMvfrdeUW2/Dp3vL5K6WtgD6uK8Zvg3DTSmI20lwx8QQixL/M7eF2zIitqAQLTxDdp0vK76pR67DFqHJY8/Wcbwz2Vlk3bJ6unwOMtX7sZTVQV2ARxC4HHmn+z1Hvd6fMTvdhipfbrHb0XlLuh97M0bS13y6ivz3e0fn+DvXrlg3G7EhDW7Sj3pjOSlM3Os6/EaVzv9He5lqZoX5iL0d7gb5lxWMvy/DvyLEOK3hRDfn/33O8DX0fr4rEqMXvzNknrqzOM3PH47GH5nFRp/1uOvlBliF6ry+L3Vf5ZiKbx7d41w3Voto3p9r98wElbN29Wpt8fNfDYw31/mu3vswMllzozVE9bsKvV86/BlTk+F+K2P7eTFhx/E7RT86J2blwWpL85FGibzQOV0zu8KIe4CfgH4VPbuY8DdUsorDVuVzaklWFcvXpeTZFqSzkjT2Q92kno8VQyXmY9ofZDsEJOohk6P1mo6mc4YUlYuwViyao8ftH1U7GSve/dnZ8NGD36r5u3qdHicRvqpGSr16YHmTFjzW1SMZhX7xyf4owMnmFyI4XIIkskMLqeDrWu6OD21XDy5MBfhlpHehq2nUlbPZinlBeC/NmwFbYgu9dTyYzaLPn4xkcqYNtx6syo7GP6qsnrCibbJ6IH8rpa9/uWGPxRPsa5CemMupQbSB2NJRvr8TCxEOX45wO4tA5bN29Xxu53GAHQzLHXmLO0Ubch+hmL3W4V+dRtJpKHFh31h3n4qI/nM/iMIh+C64S6OTCzmPT+dkUzMR/noLesbtqZKUs9+/Q8hxD81bBVtxpLU05w8fqitTW8hdkrnXCrgKq/xt4u+v398gj9/5jQAe/70+aI6dTBWvcYPxVtx6ynE792q5e3rVa+RhDXzdnW04G79Gn85j7/WqWRmcDsduJ3CFhp/ubz97Wu7uDAXMTLvAC4vRkllJJsaKPVUzOrJ+Xtrw1bRZuhDWJri8Wd729QT4G1Hjb8dMnp0T24hezxcCcSKBilD8VRVxVs6xeI6sWSGVEZy3douBjs9WuO37HtbMW9Xp94h5fNVePx6sHqkz9+QPjQ6frfTFlJPOWlr+9pupIR3p5fGnDQ6lRMqV+7KEn+vaoKxFD63Y9m4t0ZgePx19Osx8vhtIPVUlccfSbB1yJLWUA2l2mEZITPB3YL9E8xJId65ocfw+K2at6vTWWdwdyGSwONyVHQyKg24sQIt6N76dM4NfT4mFpZPlt3Q52f7sHacn54KcdMGTdO/NKedKBpp+Ct5/LcJIQJCiCBwa/bvgBAiKIQINGxVNicQSzYlhx+WNP56pB47pnOW9/iTbeHxVxOkjCXTJNKZ2qQel3PZiX5pxrOLmzb08s7VoJYzb9G8XR19ZKGU5vw8rUGb27IrkHrwe5xELWhwWC8fu23Dsvt0aWvLYCdOh+DU1XyP3+kQrO9tXBPISlk9rbcUNiQQTdHTBJkHlqSeWB0HcDSZxuUQRTNOmo3LIRCitMYfT6UJxVNt0aenmiClnolTm8bvMLJ1dJY8fhc3beghmZacmgpa1pJZx+9xIaV2vJlJBpiP2OekrUk9rff43zw/T6/fRafHxeXF2LKGclsGOziVk9lzYS7Chj5fQ6f7tb5PbxvSrAZtYE1wN2qTQeug9YNxOx0lDb+eFdIOWT2VWgNDbZ05dbwuB3PhQqlHfx83Wwa1fi5HJwNEEtbM29VZyn9PmTpmFqvozNks7DB395Uzs7x2bp7f+fhNfPLeLUWfs31tN+/kGP6L843N4YfKUo+iCIFosik5/JBr+OvT+O0g8+h4ncXTFWGpT087zNvVg5Qbsr1Xun2uZUFKfQhLLRq/p6jGv3QC2TLYSafHybHJAKG4NfN2deoduD4fSdDnt8d358/KVq3kz589zZouLz9656aSz9k+3MX52Yjh3F2ci7CpQc3ZdJTHb4JgLMXmrNfVaLxuPaunPo3fLh4/aIatlOFfqtq1h/GohB6kvPW3D/ADRQKWwbh2BVOLHON1OZftn9zgrsMhuHF9D0cmFrPBXWs1fjDf6mA+kqTfJjKd3+1kOmi+JsEsuUNWJPDxW9eXLUa8bm0X6Yzk3EyEWEoyE0o0NJUTlMdvikCNlZj1YEVWTyRhL4+/nOFvtz49OoNdXmbDy1szm5V6Ck/0he9z04Yejl8OEIwlLfX462l1IKVkIZKwzUm7FVKPnuI7kTX6AN85frVsHyK9FcepqSAzUe1VSuqxGf/85iVmQgn+7ysXGtJVsBCf25o8fju1P/C4Smv8RmdOm3iN1TLQ6TFkqlxqmberUyqdUwjo8uiGv5dwIs18JGltcDfb1dJMGmQoniKVkWX79DQTf4UeSo2gWIpvLJkp24do21AXQsCpqyGmo9r3viINvxCiTwjxVSHECSHEcSHEPa1YR63sH5/gkX8+bNxuRFfBQqwI7tpN4/eU1fj1Jl/28BqrpZThD5po4e11F0/n7PK4jAHmOzf0GI81IrhrpvBpqV2DPb47v9uZVxHbDMz0IfK5nWwe6OD0VIipiObxr1Sp53PAE1LKG4DbgOMtWkdNPHbg5LK0Squ7ChZiRXDXTlk9UEHjjyTo9rlskXpaC4OdnqJSz1Lb5Or3vy715ObSF7Z9uH6425jW1QiN34ynbGRk2cTwa1JPynRNghnKDc0px/a1XZyeCjEdydDldTX8qqnpvy4hRC9wP/B5ACllQkq50Ox1mKEZXQULMYK79eTx21HjLyH1zIXbp09PLgOdHubDiWVGJhhP4XHVVuXtdTnISK2Zl04onl806HE5GMoOKf9/vnncMtmxnq6WemdOu6Rz+j1OMhKaWcNltg/RdWu7OTMT4mpE69HT6AK4VmT1XAtMA3+THejyBvDLUspw7pOEEA8BDwEMDw8zNjZmamOhUMj0awsZ8AlmY8u9hwGfsGQbxdaq//iPnzrNWOZCkVdVZiEYYdETt2w/QH37NRKMEglS9PVnLsVwpqRt1lot81eSpDKSbz01Rqd76Ud78kwcnyNT9fZDoRAXp88B8NSzz+F3ae914XKUTGZpn704meRKYOkKY2Ihyqf/8RDHjh/j3g3mDW8woR1vbx07wdrwuxXXmvu5Xp7Urm5OHTlE+Fzrr9gmzmtXIPOBcMO/f50+4CdvdPJXb6eRwKBP8EPXO+lbPMXY2KmSr0vPJUmmJSfnUty8pvHrbYXhdwHvAX5JSvmKEOJzwMPAZ3OflB3k/jjA7t275ejoqKmNjY2NYfa1hXy2d4JPf/XtPG/V73by2U/cwqgFfUeKrVVKiePJbzGy6RpGR811L5QvPMm1m9YzOnpz3WvUqWe/fv7dVwjFU4yO3rfssT8+/AJbun2Mjt5Z5wqXsPIYKMX8+CW+dOItbrz9zrw+Q1+7PM5AZKHq7Y+NjbFzYAucPMpdd9/LYNar/5PD32W4y8Po6F0A/Oajz5Ap8EESGfjmBSef+YnqtlWMWDINzzzByDXXMjp6XcW15n6u8y+eg7eP8qHR+1jT1ZhZurVw5dUL/N8Th3H5Oqre/7mpmIUVttWyO57i8bcPsG/PDn7hgfL7UGfg0gJ/dfggiYzgPddvZnR0Z03brJVWnJYvAZeklK9kb38V7URge/buGuFHdmsHQSO7CuYihKh7/KLt8vjLBHfbpU9PIQOdmqErDPAGTfR18hZpXV34Po2SHb0uB0LUKfU0qaq9EvoxX+3s+MJUTLPJG+dmNPFi21D1tT7bcpyFzYONDexCCzx+KeUVIcRFIcQOKeVJ4P1oU73aguvWdgPw5mc/2LS2Al63g7jJ7IRMRtoznbNM5W479OkpZDB7LBQGeM300jEa8yVzDX9+cLdRw0yEEHS4zeW/L0S0+pZG9piphY5stlMiXV1wt9puq5XQWyxfu6b6DrNPHruKUwjSUvK5p07R43M31KFs1Tf0S8DfCyHeBm4H/nuL1lEzeuZCs3r1QPG87mrRX9cOwd1oIk00mW6LPj2F6AHp5R5/bb34ofgMhkLD36hhJvvHJ4gm03z+u2drDhgvROw1R0HfP9V6/FZdRZ2ZDiMEXFOl565faaSziQGz4UTD08RbYvillIeklLullLdKKfdKKedbsQ4zLEY1r8bs/Fsz1CP1LA1hsYcXBqWlHl0qaIc+PYWUM/y1VnkX1m7orZ1z+0M1YpiJboD02EGtUse8jRq0Qa7UU53HbzYVs5CzM2E29vurvsoud6XRKFSvnhpZjDb/4Pa6HKYLUew0aF2nlNQzZ1Tttp/h97mddHqczIaWSz3dtUo9BR5/qbYPVg8zqVfqsFO7BliqSajW4y/WbdXlEMuuoioFgM/MhGqSeVqRJm4fN7BNWIwm6W1y8MrrNi/16EG6dtD456uY12pnBro8zIWXmoJJKTXDX2twt0Djz+3F30jqNUBaL34befzZY75ajV+/itIv5v1uB04BD+xYazynUgBYSsnZ6TBb11Qf2LXqSqMWlOGvkYUWtJ3VpB5zHr9+pdBhYVl/vXhcDuJFNH6jJXMbBndBy+zJDe5Gk2nSGWlC48+XegyPv4bWzmao1wDN20zjr9XjB/j4bRtwOgQ/P7qNr/2n+4inJV84eNZ4vJIsMxWME06ka8roacbw+ULsYw3ahMVokvW9jTsTF8Prcpiu3LXToHUdvR+/lDKvQtFo0GYj41ELg50ergaWZquaadAGS+MpK0k9VlPNYJlSpNIZgrGUTTX+6l+zGNUKqYa6vNy4voc9Nw3zv547zVdev8iVxVjJweP6VZGZjB5dJnrswEkmFqKMmKwfqAVl+GtkMdq86Vs6XpfD+PHXijFv12OfizvdsCXTEo9ryfDPRbQOlM2W0qxioNPD8ctLo6gDxhAWcxp/IlUo9TR2v+iG5rf2HyYUT9dkgBaj9urTA7VLPQDTIU2qG+rW6jJuHunlwNGrXF5cPiw9F/2q6My0lsO/tQaPH5biNc0oNgRl+GtCStmi4K55qSdiQ41fb8CWTGeMkwBoHn+v322bPPBaGcg2atOvZMzM24UyUk8TZkDs3TXCpfkIf/ydd3j2N0bzvp9yzBudOe1z0nY5HXicjpo8fn1wi274v/zqxYqvyb0qOjsTxu92sq6ncYPSraA9f2EtIpJIk0zLpnukvjqCuzEbSj26MSkM8M5FEm2Zyqkz0OkhkcoQTugG25ynXtiRNZB9n2aN+9SPb92Lr4aFiD0np/k9zqrTOWG54a8U2O71u/PSaM9Mh9iyptNon21XlOGvAf2H0OySdK9reX/2arFrOiewrIhrPpxoy1ROHT2XX49VhMxKPQUdWXWPv9YgsVl6s8Z7Mbq8zXQp5o2WzPbx+EEL8NZShFxo+EsFtkf6fIz0+bl760BBKme4ZpmnFSjDXwO64W9NOqfJPP6EDT1+ZwmPP2yvrJBaKWzbELRI6gnFU3R6nE0rGjTj8ds1FdfvrtHjD8XxuhxG7UXpjJsbeN91a3jx3VnS2Yq3eCrNxbkI22pI5WwVq1rjr7UTn96uobcFBVyFUk+1a7ezx1/4mRYiSW7daC+PsRaWqnc1r9FsGqbLIXCI3Kye2hu91YNu+PXjvRoWbajxQ1bqqf5jMB2MM9TtNbLNcjNuCn9rDofgH16/yNuXFti1uZ+LcxEyEq5tA49/1Rp+vRBDN4x6IQZQ0vi3zOMvaNlQy9pjyTQOseRl2wFvEY1fSslcpL2lnsFsh069eleXemqdkFXYkdVM24d66DPp8bscwtL5v1bQ4XESKjJDoxQzobgh8+iUqpC+b9sgAAdPz7Brcz/v6hk9NaRytgr7WIMmY6Y/hq55NjuA5XU5SGckqawmXsva9elbjZ7oUwvFNP5IIk0ilWnv4G5Xfr+eYCxJh8dpKkspt7q52YbfnNSjZbvZ6TgDbeB6rVk9Q1XOEhjs8nLThh5eODUDLKVytoPHv2oNv5ny9FZq/LB06V/L2u02bxfA48zPU4f27tOj0+lx4nE5jM9ipiWzjj53F5ov9fSYkHrs1qdHx+921JbHH1zu8Zfjfdet4c0L80QSKc7OhFjT5W1a9lU9rFrDb6Y8fSGSxOUQdDbZkBY27apl7dGEvXrxw/J0zv3jE/zgX74IwKPfPtHQdrSNRAiRN3S9Hk9dm8Gw5PE3K6MHwOkQdPtcVXv8+8cnePrEFKenQpbN/rWKjho8/mQ6w1wkUZvh376GZFryytk5zky3R0YPrGLDv2/PjmW6d6XydL1BW7MvZ3VNXM/J37dnBz53dWuPJu01aB3A7dT2XzKdMeIVehrdXBN6kTeSgU7PktQTT9Fl0vvL1fgDsRQ9TTT8oF3VVmP49e9PP4mbnVrVKLQ8/uqeOxdOICU1Gf47twzgcTk4eGqGMzPhmnr0tJJVa/j37hrhR+5cCthU0898IZpsekYPLJd69u4a4RcfXJrluaHXV3LttpR6crJ6WtGLvJEM5Hj8oViy5pbMOq2UekDLzqnG8Nv9+/O7nVVLPUYOfw3zgn1uJ3du6efbR64wF060RWAXVnFWD8Cmfu3sfMO6bp74lfsrPj/QgpbMkCv1LP3Ablrfa/z9lZ+7h439xaf92FHqyZ0p24pe5I1ksNPDuVktyBeMpRg2Wbqvp/AmUhniqYzpE4hZqvX47f79dWQ9/sKGgMUoLN6qlv4ONwezn/cvn3uXoW5vQxusWUHLPH4hhFMIMS6E+Ear1qB3UqxWy1yIJFsySNoo6Mmp3s3tAlmugVQsmTba09qF3OBuK3qRN5KBTi9zISuCu1q1drN68RfS5/cYbRjKYefvb//4BP/7xXNIqCr2YMbw7x+f4MljU8btdpEqWyn1/DJwvIXbZyqgfdHzVRzg0JohLFB8BuuVHMNfzruyo8afG9ytJV7RDgx2eQgn0sSS6Wxw16TGn63WXmrQ1tzjrsfvZjFauSPsvj07ljVys8P3p8ce9A6pk4uxigZZ78y5pgap57EDJ5cVItpJ6ipFSwy/EGIj8FHgr1uxfR3da44lM1WNNmyZ4Xfnl/ADXA3Ejeyich6/vQ1/mr27RviZ911rPGbF7NhWolfvzoTimsdv0lP3ODWpp5mdOXPRpB6t02g59u4a4Qdu3wBg2exfKzATe5gOxunxuWqSRu0udZWiVRr/nwGfBrpLPUEI8RDwEMDw8DBjY2OmNhQKhUq+9vxUxPj7208/R7+v9HkwIyWBaJKFqUnGxmZMraUSpdZ6dlE7gF8ff4v0hPaVHTsbY41PksnAa0dPc4Ms3j52MRRjbuaq6f1X61qrIZrSjMnxd04zljzPpQsJBPDn7++g0y1g8RRjY6dssdZambyqGep/feYlAK5eOs/Y2GTVr9fXujgXYyGQ4YVXXgfg3RNHGZs+Yf2CSzB3OUEyLfnO02N4XcW1cX2todkETgF/9aEOHML6788MEyUM78RCtOSxcPRMjE5npqZjZcAnmC1SGTzgE6aOuWYdq003/EKIjwFTUso3hBCjpZ4npXwceBxg9+7d0uxwglKDDaSUBJ56gk0DPi7ORbnhtt3cuL6n5PssRpLIA9/h1hu3M5rjoVpJqbWuvxKEl57n+htuYvTW9QD88eEX2DbowzsfwdnVyejo7qLvmX7mCbZds4nR0Z1NWWs1JFIZeOrbbLpmC6Oj2/nLky9x00iKj37weyxdo06zhlsAdJ2b4/8bf4mBzdvhtcPsumkHo3dtrvr1+lq/Mf0Wl2KzbN2xE157g++5ezc3j/RWfgOLuNxxga+8c5hbdt9dUq/X1/qViTfYPBjkwQdGm7a+Soy8/ExR4z/S5y95LPzPEy9xTQeMjt5T9XY+2ztRdGrZZz9xC6Mmrnqaday2Quq5D/i4EOIc8GXgQSHE3zV7EYFoingqw45h7aKjks6/oLdraIHU4ysi9VxZjDPc42V9r7+k1COltKXUo+fxJ1KaxDZ+cYG7rx1s8aqsQZd6zs1qV5NmpR49nTPY5F78OrX06zk/G+GaweJZZa3CzBzb6VCcoe7asrD0Ae0jfX5bSV2VaLrHL6V8BHgEIOvx/4aU8t81ex1Xg5qx3LGum6eOTxndBUvRqnYNsDy4m0xnmA3HWZs9SI9OLhZ9XSKdISPt1ZkTtApXfeD6+IUFEqkMd29dGYZfb9R2IWv4TQd3s1k9Zqd41Uu1/XqklFyYjbD7mv5mLKtqdMP7R0+cYHIxRo/Pxe9+4uayBrmWPj2F27K7oS9k1RZw6YHd6w2Pv/wBvtDCtrNL6Zyaxz8TiiMlrOv1sb7Xz0woUbRffyyhnSjs5vGDFrxMpiSvnJ1FCLjz2oFWL8kSevwuXA5h5PKbTud05wd3m9myAZZaj1fq1zMfSRKMp9g8aL+K1b27Rnjxkffjc8IP37GprHGOJFKE4qmac/jblZYafinlmJTyY63Y9tVsKucN6zRdv5LU01KPv6ByV1/7cI+Xdb2a13+liNxjx178Oh6Xg0Q6zctnZrlpQ0/bDlgvRAhBf6fH8PjNtlrwuhwk0hkWo0n8bqcxp7hZ6N9HoILHr5/gtthM6smlxyuMVM1SzAS1378y/CucqazUs3mgA5/bUfGSdkE3/C3w+PWeQrrh14382m4fG3q1wFsxnT9qw3m7Oh6ng2AsxZsXVo6+rzPQ4TGmb5nX+LXvbC6caLrMAznDWCqMX9RPcHbT+HPp8QhmguUN/3RI+/2sFsO/als2TAXidPtc+D1O+vweY05qKQIt9PhdTgcuhzDkHP2kNdzjM7z5y4v5GQz7xyf479/S6uN+9xvHgNIDZlqBx+Xg1bNzK0rf1xnIaS1tVurRax1mQvGWGP4urwunQ1R0iM7PRhCCki1D7ECvVzBTweM306ennVm1hv9qIGb0UenrcFeh8Sfwu52GJ9ZsvC4HsaQu9cRwObQWwPp0p8mFJY+/cEKXXkYO9jH+HpeDC3ORFaXv6+gDWYSATo95qQc0g9Tsql3QJKtev7uixn9+Lsy6Hp/t+kHl0usRnJmt0vCvEo9/1Uo9muHXvuT+Do8xXasUrara1fG6nYbHfzUQZ223F4dD0OFx0et353n8du+YCEvy1c71K0ff19GHrnd5XDhMDkj3Gh5/a6Qe0FI6q/H47SzzgKbxz0eSJNOZks+ZDsZxiPyrtZXMKjb8cYa7q/f4F6PJlg6S9rqWBnNcDcRYm9P1cX2vLy+4a/cy8v3jE5yaCgJacNDuDa1qRTce9Rhsr1vX+OMtm+jUU63hH7BfRk8uPR7t5DtXRs6dDsUZ7PLiNHmibjdWpeGXUjIdjBvGs6+jcifChUjSGEnXCvQ2vZB/tQJaJ8RcqcfuHRMf+dphktke6eF4ui26GdaC4fHXY/izHn9Gmo8T1Eul1syxlGQmFGezzT3+Xq9mzKfLBHing/GamrO1O6vS8C9EkiTSGdZ261KPpmWWa0jVcqnHlS/1rCvw+HOlHjNVi82iHWSoehnIFnHVY7C9OR0vWyb1VBjGMh3Vfi+2l3qyHn+5AG+ts3bbnVVp+K/mZMWAdoCnMtKokizGYrQ1vfh19IKeWDLNYjSZJ/Vs6PMzH0kSTWgGde+uEf7b9y/15rFTGbndZSgrWJJ6zB8vuUkErQjuAhWDu1fD2hXoFhsWb+Wie/wzoTJSj8mq3XZldRr+nAIo0KQeKF+l2HqPX9P49Yrj3MlOuvef6/VvWaP9GP/mU3dy8OEHbWH0wd4ylFUcujgPwHPvTJsePu5128Dj97sJxJJkMsWvhKeimuG3u9RTyeOXUmb79CjDv6IpNJ79FQx/IpUhkki3OLirST2FJy2A9X3Lq3ffurgAwK0bm9fRsRrsLENZwf7xCT739FJLYrPDxz3O1hv+Hr8bKTHaRhQyFZH0d7hbFnyuFp9L4Hc7S2r8i9EkybRUhn+lMxXIr9LTDXqptg2tbNegowd3i3n8evXuZI7hf/vSIpsG/Aza7PK1XbsZVstjB04a9RY6ZmIYvjyPv3VSD5Ru1DYVyXCNzWUenTXdnpIe/2rL4YdVWsB1NRCn1+82ik76Kxp+7f7ejtbl+Ooaf1GpJ9uv53KOTn7o4gK3b+5r6hqrpR27GVaLVTGMXI3fbL+fetEl0NKGX3LfJnvLPDpDXd7Kht9mTlIjWZ0efzA/HbLSAW4Pj1+XemL43I48Y+BzOxns9Bge/3QwzsRClNs39rVotasXq2IY+Vk9rfX4i/XrSaQyzEYl1wy0h+Ff0+U1GrEVojdwW00e/6o0/FcD8TyPWT/A58PFDb/RkrmFht/n1oO72tqFyC80Wdfr40o2uPv2pQUAbtvU1+RVKqyKYeRn9bQunROKO0QTC1Ek2LIdczHWdFfh8SvDv7KZCsSMISYAbqeDbq/L5hq/05B6hotMCcqdxPXWpUUcAm4eKT1KUtEYrIph2CGrx/D4iyQ9tEM75lzWdHmZiyRIFbRt2D8+wZ89pQXjP/K551dUIWE5Vp3Gn8lIpoLxPKkHoK+zdLGKfn/LWzak0kwF40Vnr27o8/Hq2VlAy+i5fribDpMNwhT1YUUMIz+rx37BXb0ds91TOXWGujxICXORhOH0FTYznFiI2a6ZYaNYdR7/XCRBKiPzpB5Aa81cwuPXPZ5W/QBhqTvnlcUYw0UuSdf3+gnEtClCb11a4Dal77c1DofA43TgdTmMFs3Nxud24nU5ig5jOT8bwetsn4Co3o4hV+dfDVXkpWj6ESWE2CSEeFYIcUwIcVQI8cvN3L6eFbO2wHj2dZSuUlyMJunxuVrawElv2hVNppedtEBr2wDw6tlZFiJJpe+vADwuR0udDShdvXthLszaDseyWJNdWZP9vefq/KuhirwUrXAlUsCvSyl3AncDvyCE2FnhNZYxlQ3krC30+Ms0aluMJlsyeSuX3CyPtT3FPH7t8zxx5Apgv8ItRW3sH58gkkgxE4qbrv61glL9es7NRljb0R5GH3I8/hzDvxqqyEvRdMMvpbwspXwz+3cQOA40TVCbMvLg841nf5nWzK1u1wD5hn9dEY9fP1ifPHYVr8vBjnXdTVubwlp07VnvlGC2+tcKev3uZemc//zGJU5PhXjjarqlJ6VaWJMdjpNbvbtvz4683xWsrCrycrQ0+ieE2ALsAl4p8thDwEMAw8PDjI2NmdpGKBTKe+3Lp7WD+Pj4K5zOkW4WpxIEokmeefZZHAWXrxeuRPE6Mb0Gs2vN5eylpZPSueNvEb2Qf8CmMhIBzEeSXNfn4OALzzdwpeXXajfaba2/N/YW0WR+f5xoMs3vff0t+hZPlXhlY0hFYlyJSmP/vTiZ5G+OLJ0IJhaifPofD3Hs+DHu3WDP1g2hUIjXX/oubgeMHz/NmLwIQB9w9zrBc5e05w36BD90vZO+xVOMjTV3P+eutRnHassMvxCiC/gn4FeklIHCx6WUjwOPA+zevVuOjo6a2s7Y2Bi5r31y/jADl6/wwQcfyHveGddZvv7uMXbddR/9BVN4fu+NMbas62F09D2m1mB2rbksHpqAI4cA+P4P3r8sY2f/+ARCHEJKuBwVLPRub2hmQrm12o12W+tcLFz0sbmYbPrn+Nept7j67oyx3d989BkKOlKQyMA3Lzj5zE80d23Von//a195Bn//AKOjtxuPPRc8yqtXL3L0d/aYnpZmJc06VluSLiCEcKMZ/b+XUn6tmdvWxxYW0t9Zum2DnTT+bp+rqNHPlQZW4nCT1YSdtOfCYSztHBAdKlLEdeJykOvXddvC6DeTVmT1CODzwHEp5f9o9vangrFlgV3Iac1cEMiSUtpE49eyeorp+6s5LW0lYqcOpn0dbsKJtDGv1k4npVpZ0+XN0/illJy4EuDGVRgPa4XHfx/wk8CDQohD2X8fadbGpwLxonnwfUaVYr7HH0mkSaZlS9s1wJLHXyyVs529MMVy7NTBtLCI6+dHty17TrsERIe6PXnDWKaCceYjSW5YhYa/6Rq/lPK7QEuuq9IZbeBCMeOp9+Qv7Ndjh3YNAK9kq3K/e3qG+x59hn17dhiGYEOfn4kiRr4dvDBFcezSwTS3X8+aLq9xe6jLy3QozkifP+9YtDNrurzMheOkMxKnQ3DiShCAG9avvtYmq6Zyd//4BPc9+gzpjORvXz6/TP/uLyH12KFdw/7xCf7Xc2eM24XpfXaSBhQri56Cfj0HT8/Q7XPx0iMP8sUPd9pqulsl1nR5ycilON6Jy1pOyWr0+FeF4deDn1eyOfyL0eSy4Ge3z4VD5Es9+8cn+MnPa5mmv7X/SMuCpY8dOEk8VXq4h52kAcXKQr/SDUSTSCl54dQM92wdxOVsP9NRWMR14kqQ9b0+I763mlgVXbzKBT914+hwCHr9bsMbKGzgNBNKtKyBUzUavl2kAcXKoi+nJ/+FuQiX5qM8dP/WFq/KHLlFXDesg+OXA6vS24cV7PHr0s6nnggX1b9huUHt7/AYl7R2ypRp50wKRXtjBHcjSV44NQPA+65b08olmSa3X08ileHd6dCq1PdhhRp+3VsvZfB1Cg1nb06jNjtlyigNX9EqlrJ6Uhw8PcOGXh/XrmmP4SuF5HboPDMTIpmWyuNfSRTz1gspZjj7O5ZaM9vJy1YavqJVuJwOurwu5sJxXnx3lvdtX9M2HTkL6fG58DgdzITinLiczehZtzo9/hWp8ZfzygWa8S6WgtbX4eZkNsVr354d/Jd/ejsvqNpKL1tp+IpW0et3c/DdWRajSe5rU5kHQAjBULeWhsqVAG6nYOtQe1691MuKNPyl8tpH+vwcfPjBkq/r8y+1Zt67a4QXTk3zT29OlD1ZKBQrnV6/m2PZ1Md2NvygBXhnQgnmwgmuW9uNuw2zk6xgRRr+fXt25GXkQHXeen+2PD2RyuBxOZgLJ9gy2MHYvgfKvk6hWMnoOv+N63sMnbxdWdPl5fJijLlwgnu3DbZ6OS1jRZ7ucjVxqF4T7+vUi7gSRBNpXnx3lgduWNvw9SoUdmX/+ATjF+cBuDgXafvGf2u6vJybDXMlEOOG9aszsAsr1OOHJU28ljanfTlVikcmFomnMjyoDL9ilaJnx8WyfZhD8VTbDyNf0+0hktCUgNUa2IUV6vGbZalfT4JnTkzR4XFy17UDLV6VQtEa7FTLYhW5UtVq9viV4c9B78czH0ny7Ilp7rtujdEOWaFYbdiplsUqzs4sDbn5gb842PbSlVmU4c9BN/yvnZtjYiGqZB7FqsZOtSxWsH98gi+/dtG4PbEQW7UDi5Thz0GXer5+aBKAB3Yow69Yvay0ivHHDpwkUabZ4WpixQZ3zdDhceJ2CmZCcXau72Fd7/K+/QrFakEP4D524CSTC9G2r2VZidKVWZThz+HrhyZJZwfX6qlr7XqQKxRWsJIqxtXAoiWU1JOlcGB5MJu6thr1P4ViJbLSpKt6aInhF0J8WAhxUghxWgjxcCvWUMhKTF1TKBRLqGaHSzRd6hFCOIG/AD4IXAJeE0L8i5TyWLPXkovS/xSKlc9Kkq7qoRUe/13AaSnlGSllAvgy8IkWrCOPlZa6plAoFKUQUsrmblCIHwY+LKX8D9nbPwm8V0r5iwXPewh4CGB4ePiOL3/5y6a2FwqF6Orqqvi8FyeTfPFIgkROtpfHAZ+62cO9G5ozaL3atdoBtdbGoNZqPe2yTrB+rQ888MAbUsrdhffbNqtHSvk48DjA7t27ZbX9dgqptlfPKLBzfKKlqWu19BVqNWqtjUGt1XraZZ3QvLW2wvBPAJtybm/M3tdylP6nUChWA63Q+F8DtgshrhVCeIAfA/6lBetQKBSKVUnTPX4pZUoI8YvAAcAJfEFKebTZ61AoFIrVSks0finlt4BvtWLbCoVCsdpRlbsKhUKxylCGX6FQKFYZTc/jN4MQYho4b/Lla4AZC5fTSNRaG4Naa2Nol7W2yzrB+rVeI6UcKryzLQx/PQghXi9WwGBH1Fobg1prY2iXtbbLOqF5a1VSj0KhUKwylOFXKBSKVcZqMPyPt3oBNaDW2hjUWhtDu6y1XdYJTVrritf4FQqFQpHPavD4FQqFQpGDMvwKhUKxyljRht+OIx51hBBfEEJMCSGO5Nw3IIR4UghxKvt/fyvXmF3TJiHEs0KIY0KIo0KIX7bxWn1CiFeFEG9l1/o72fuvFUK8kj0O/iHbHNAWCCGcQohxIcQ3srdtuVYhxDkhxGEhxCEhxOvZ+2x3DAAIIfqEEF8VQpwQQhwXQtxjx7UKIXZk96f+LyCE+JVmrHXFGv6cEY/fB+wEflwIsbO1q8rji8CHC+57GHhaSrkdeDp7u9WkgF+XUu4E7gZ+Ibsf7bjWOPCglPI24Hbgw0KIu4E/BP5USnkdMA/8TOuWuIxfBo7n3LbzWh+QUt6ek2dux2MA4HPAE1LKG4Db0Pav7dYqpTyZ3Z+3A3cAEeCfacZapZQr8h9wD3Ag5/YjwCOtXlfBGrcAR3JunwTWZ/9eD5xs9RqLrPnraPOSbb1WoAN4E3gvWiWkq9hx0eI1bsz+sB8EvgEIG6/1HLCm4D7bHQNAL3CWbOKKnddasL4PAQebtdYV6/EDI8DFnNuXsvfZmWEp5eXs31eA4VYuphAhxBZgF/AKNl1rVjo5BEwBTwLvAgtSylT2KXY6Dv4M+DSgD/wcxL5rlcB3hBBvZMeigj2PgWuBaeBvshLaXwshOrHnWnP5MeBL2b8bvtaVbPjbGqmd7m2TayuE6AL+CfgVKWUg9zE7rVVKmZbapfNG4C7ghtauqDhCiI8BU1LKN1q9lip5n5TyPWjS6S8IIe7PfdBGx4ALeA/wl1LKXUCYAqnERmsFIBvH+Tjwj4WPNWqtK9nw23bEYxmuCiHWA2T/n2rxegAQQrjRjP7fSym/lr3blmvVkVIuAM+iySV9Qgh99oRdjoP7gI8LIc4BX0aTez6HPdeKlHIi+/8Umg59F/Y8Bi4Bl6SUr2RvfxXtRGDHtep8H/CmlPJq9nbD17qSDX87jnj8F+CT2b8/iaantxQhhAA+DxyXUv6PnIfsuNYhIURf9m8/WiziONoJ4IezT7PFWqWUj0gpN0opt6Adm89IKf8tNlyrEKJTCNGt/42mRx/BhseAlPIKcFEIsSN71/uBY9hwrTn8OEsyDzRjra0OajQ4YPIR4B00nfc3W72egrV9CbgMJNG8lJ9B03ifBk4BTwEDNljn+9AuNd8GDmX/fcSma70VGM+u9QjwX7P3bwVeBU6jXU57W73WgnWPAt+w61qza3or+++o/luy4zGQXdftwOvZ42A/0G/jtXYCs0Bvzn0NX6tq2aBQKBSrjJUs9SgUCoWiCMrwKxQKxSpDGX6FQqFYZSjDr1AoFKsMZfgVCoVilaEMv2JVIYQIZf/fIoT4CYvf+zMFt1+08v0VCqtQhl+xWtkC1GT4cypqS5Fn+KWU99a4JoWiKSjDr1itPAp8T7YP+q9mm7s9JoR4TQjxthDiZwGEEKNCiBeEEP+CVgGKEGJ/tlnZUb1hmRDiUcCffb+/z96nX12I7Hsfyfa0/9Gc9x7L6R3/99lKaYWioVTyYBSKlcrDwG9IKT8GkDXgi1LKO4UQXuCgEOI72ee+B7hZSnk2e/vfSynnsm0hXhNC/JOU8mEhxC9KrUFcIT+IVk16G7Am+5rns4/tAm4CJoGDaD18vmv1h1UoclEev0Kh8SHgp7ItnV9BK5vfnn3s1RyjD/CfhRBvAS+jNQLcTnneB3xJap1DrwLPAXfmvPclKWUGrR3GFgs+i0JRFuXxKxQaAvglKeWBvDuFGEVr7Zt7+wPAPVLKiBBiDPDVsd14zt9p1G9S0QSUx69YrQSB7pzbB4Cfz7agRghxfbYTZSG9wHzW6N+ANo5SJ6m/voAXgB/NxhGGgPvRGrEpFC1BeReK1crbQDor2XwRrRf+FuDNbIB1Gthb5HVPAD8nhDiONiLv5ZzHHgfeFkK8KbUWyzr/jDYX4C20TqefllJeyZ44FIqmo7pzKhQKxSpDST0KhUKxylCGX6FQKFYZyvArFArFKkMZfoVCoVhlKMOvUCgUqwxl+BUKhWKVoQy/QqFQrDL+f7UrFkGdb/txAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "\n",
    "plt.plot(evaluation_history, \"o-\")\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Iteration\")\n",
    "plt.ylabel(\"FOM\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot our results and see the resulting geometry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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(\n",
    "    False,\n",
    "    ax=ax,\n",
    "    plot_sources_flag=False,\n",
    "    plot_monitors_flag=False,\n",
    "    plot_boundaries_flag=False,\n",
    ")\n",
    "circ = Circle((2, 2), minimum_length / 2)\n",
    "ax.add_patch(circ)\n",
    "ax.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To check the performance of our final structure, we plot $|E_z|^2$ at those three frequencies. Because our objective function only concerns the average of intensities, it turns out that the optimizer focused on maximizing the performance at one frequency, and the structure behaved poorly at other two frequencies. The better way is to use the epigraph formulation, which is illustrated in the next tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting forward run...\n"
     ]
    }
   ],
   "source": [
    "f0, dJ_du = opt([mapping(x, eta_i, cur_beta // 2)], need_gradient=False)\n",
    "frequencies = opt.frequencies\n",
    "\n",
    "\n",
    "intensities = np.abs(opt.get_objective_arguments()[0][0, :, 2]) ** 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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, intensities, \"-o\")\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Wavelength (microns)\")\n",
    "plt.ylabel(\"|Ez|^2 Intensities\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}