{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Near2Far Optimization with Epigraph Formulation\n", "\n", "This tutorial redoes the previous example with epigraph formulation." ] }, { "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": [ "Instead of the calculating the average of intensities, we change our objective function to be vector-valued intensities at the frequencies of interest.\n", "\n", "Note that because ``meep.adjoint`` looks at the fields in the frequency domain (i.e. Fourier transformed fields), the ``objective_functions`` from ``meep.adjoint`` can be vector-valued if and only if each component of the vector is at different frequencies.\n", "\n", "Also note that this objective function is different from the objective for `nlopt`, which has to be a scalar. In our case, this is a dummpy variable `t` from the epigraph formulation, introduced lated in the tutorial." ] }, { "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.abs(FF[0, :, 2]) ** 2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": "markdown", "metadata": {}, "source": [ "Our objective function that we pass to nlopt is rather simple. We'll introduce a dummy parameter `t`. The goal of the optimization problem will be to simply minimize the value of `t`. The gradient of this functional is rather straightforward." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "evaluation_history = []\n", "cur_iter = [0]\n", "\n", "\n", "def f(x, grad):\n", " t = x[0] # \"dummy\" parameter\n", " v = x[1:] # design parameters\n", " if grad.size > 0:\n", " grad[0] = 1\n", " grad[1:] = 0\n", " return t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key to the epigraph formulation (and most nonlinear optimization problems) lies in the constraints. We'll define one constraint for every frequency point of interest ($f_i$). We'll define our constraint as \n", "\n", "$$f_i < t$$\n", "\n", "where $t$ is the previosuly defined dummy parameter. Each constraint function is then defined by\n", "\n", "$$ c_i = f_i-t $$\n", "\n", "within some tolerance.\n", "\n", "More detail about this formulation can be found in the nlopt [documentation](https://nlopt.readthedocs.io/en/latest/NLopt_Introduction/#equivalent-formulations-of-optimization-problems)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def c(result, x, gradient, eta, beta):\n", " print(\n", " \"Current iteration: {}; current eta: {}, current beta: {}\".format(\n", " cur_iter[0], eta, beta\n", " )\n", " )\n", "\n", " t = x[0] # dummy parameter\n", " v = x[1:] # design parameters\n", "\n", " f0, dJ_du = opt([mapping(v, eta, beta)])\n", "\n", " # Backprop the gradients through our mapping function\n", " my_grad = np.zeros(dJ_du.shape)\n", " for k in range(opt.nf):\n", " my_grad[:, k] = tensor_jacobian_product(mapping, 0)(v, eta, beta, dJ_du[:, k])\n", " # Note that we now backpropogate the gradients at individual frequencies\n", "\n", " # Assign gradients\n", " if gradient.size > 0:\n", " gradient[:, 0] = -1 # gradient w.r.t. \"t\"\n", " gradient[:, 1:] = my_grad.T # gradient w.r.t. each frequency objective\n", "\n", " result[:] = np.real(f0) - t\n", "\n", " # store results\n", " evaluation_history.append(np.real(f0))\n", "\n", " # visualize\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" ] }, { "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": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 0; current eta: 0.5, current beta: 4\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 1; current eta: 0.5, current beta: 4\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 2; current eta: 0.5, current beta: 4\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 3; current eta: 0.5, current beta: 4\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 4; current eta: 0.5, current beta: 4\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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Abqs14Ties2ld0NwfFhXgLijoGPV8epx7v2ZVfG4VfrTnsq17hNdtt1j4NbPThefadxe7sNB16+iOnXL8W6KsftIC88pjuVyu73lVcW0Fwnv6yLsKLg+oj7jvb/1uyif03LqWWuLr7gZqvb8luFreQhvcLy43uF0QZ8tqT34hyGhWrH3iJEFtdY//fWm6fgzYvarqamHCAIhEmo1g++QeaKFZjBNcfgjMfD5/c7tYS3y5fQ0eUxmYOjGLTqv/+j4HL+bWmJVWaYX76YTBlSq0DbcFZPvpsxKm6mpT/cTfVQw0sOhxmmnr3KLPbk6nRL8V9DTwtBa1BkD3dxUTzkRbtGqzei61gRNcF0i0b/hZxRbHsD+of3H5xY3Z9V8Fl/uLcemOS+dG57cX7/YxYIUNjAliY/M2iDNB/I5rN61Fi23zarUan4sAhwDqhDrxKiytybu3boefkd3jIoNuG1WQOFDx1WmtX7uXbh1dEHHHc/9hK7Yvxt26XYoXJWecmtFMiXuLewKOu7io51Z7uC0oBw22FZIFtacGGbxXd3Q6Vswx3os2NcNt+SCul8A/nEjyMXrdxH2CEmO659513sZzn/i5E/v9fhynzh9+1g8WoW39nSsz4msrGL8H3e/T1axBywC8KGBQrmVphqPbEX2QC4sl13/wTAW9q6CV4bnMCO06Ica5uMbGWR8vKMBPA3MLn4WWHZLH3bKlE0oei/tIq9rW4TI1Ft6WIPD4YZNWzduVLvB9K6DosSyy7jZC99JP5aHfEFdFgyULAycFjAq4K0MhE2QB537rfeZsXwgvrw8VxqmMXAOTW39uDeO9WpphH4YAc1mC/YJ3s63dEddzeb5xLrcWmPcQ32/iE2kchXVStVBe5UsAiOh4mhE/3xPvU3hBOadRZ+MMvLUtUcHV+3510i+Xy/gpHSxOvEfvmVQnZed1WemUGMG2WiPTLEcFV+2oWSLeg0XT2gqrjVtCxm078XZtMtp3tlUrixuGt1vXqfOwMHAbHGwvl+vnH3C/+KJYK1vX4KlB0gk8ixmyXQcnNToHU3Oi/sU7LhZeXS+3bIr1u1gsxgcCqX04y+X1xYkM9w/JDD+/4r34JkSXHRFZD56JW/U2g1DBwUsfAO2yMC5J8CPtOAAAPo6jLtd4W8KLhcsPoGYR14XPHwPmNjTz5LG3FpHamdFtWeuCBESTt2xunGhT+4m+cbmE2+K5nhJTFxBaotvKlPmcLApTtuA7ODAuvrij2R76hbZ4F8WJAeygpQ5u657sC0KpF4N1R+OyexZBzZZxnCstOJvek03r80DYr1igVXgPh8P4WEhNAHj8LvBjDKwrujN6L95NdLXQzffqqlE4a+BPrMCIrqaposYLgs/hivj6s6vJ6e8129CHpPDEa/v6O1fPhdPpeFq0HEtFRh+ogrmZykq0rzwfbEPO7nRnwpk7t6XndYLsMk0OFjzHVe0nrzl7sj209ARuZeTcngYKl+EqLlnQsbbOw8e5UoWznQY1jL9Va2+VE3T9gZb9Efg0aPCxyHjRNv8bHt1RaCDUQMvCPTWHX5vuoquG4cyDt9UcAYEKm2uHDaqZB5yptYhV6N33bjyu9MFidKsNPXaqX+6YW+27Opa+WriMrnU+tVmrfRa8Yfi47ePj3Nim5kmP48wKGbVuuafq89p3NweuH7fmSl8q5u7+cW6/xVTCcg8s1CqESBo4E261AVtrn9ycsrjjjiTO0FnMIb58LtYD9VPOupHwuCz8PTLed33gjfsdZ0KtReYWMYSXM1xMCj+VHreL3RKbW6LB7wPqqCqgrUDCX3X8miXiPCwm/De249Q2qiWEVW8/4svt4ljdxqrj82Llc3D2gfe4fqqA6tj4fSr2LLh6bvYT/r2KgRP6ll303Dpv+j5n/9b7nG01M22Ns1VbdQLVsoHO460xtdaVBke0i9IBdpz6r6QwX/pkMm7LjV3XUUtv3oN3fZ4uM5V96e/uMTTgLYj+SxAc77YbOMaJJ5+X39vKqhl1Al4IU+LC4+ZyhV5IcPZwtmbbuLFxucYJDWeRrbIHvudPFikqapp9TonQVHtMq26o/tbaBangturcXG/UGj2fk2vZrq+uLIB2WxfP1AbOz6a+om98Hjys5nK5XN2R0grqHAjcbW1ahoLf8H9khj9p8JoKuFO+NxUI3ouuoquG0+ipFwdYuDBZKiIus3MOpTVMlyW4C1OcCbksjdvnW8TwVbc1ruYFGzinwle8NDPTWjFnBzw+dnqtWU5lL2oH93s9D9uGa4MsFi1xmcpmbi0cJyiuzxoo1C6uRn3Lv6b6p1l7S9R1XejzR3jecI+5+oULRlP2QJ2U7cDBpbU+uJR3y95qY+6fC8jOzlOJCF9XUe3QUiPbt9Xm16brv2DXidJMsaqubrXCp8b0P4Oq4KF9dmBMhF4l1bpZKyOEcPHEAYg/juVJ5n7rcyPUFvx77QeLl24ndXwu2+Wv3G/uJ2d33Aft7y1cVsFtOhF2D3KZahfHOltWfbza3hq7tskXzNg2bvegQe9em7hrCPAr/tn5ngq0+pj+G3sVPxaYVtDQMXJ/UWdFe/BzZKW8lt3taWonzlh5/nTXwEkJ+7m2x2sCpQc8AhV3PPBzoDFGHo8LHD3oJro8Qa1PyLDja8arWSWjBuMJY6dzIspZqNa2sA3ke/s0Q+MFqXVjvmWotQ1sjYHtoeI4DB8vPrnsQeuoOEbb1No2OyI/KKV18YTPqZmsO7faje3XQkXSZeaw79QnErktPZ+7oKYBThfvrYyOd2iaNaOW2Srv6C6G+8RtO59ozZeKrs4d2tOHx+CrfgJNs2FeYxxIOOjqTlJFWhOnW0LItpnSDhd4YCsEjJ50LS/whGiU0exnakupN2DfwkV6FTznlFMZI080RBYvfMyYH+zBmRU7H7ftonJV+2E5947Z2VAF0p33Hlrz5Bzd7XLQV/7etdk6j8ueWnPn5l771Aquru17UKFHFulESPv7qXPBbbaySe273jLYqhPDTpwE3FPqc+PiuWm938HHueswPG4dAzJtpz0uM/+adK/pasbLmaabAF4EVe1PX1W9zebw/dT2t+ptXYnPrcfof4flGhtKC1zPRd9b525toaYEQLOBWw7rbMvH6rZL50rnQPsCZ+YtOJxZL8Tx33h+Whfj+Dz8VYXVjV8DvDs3257r9c5ufH6eP9hEbebe35q7e+aQx4Tz6VhvJRWaPfMOhb9XzueP/9+Pn9GAT43pjgmwz2upZWpdcsbudjY6t/w3N3eYd+wIeNfbU3CrOouuyyoUNr4u9qrrT5k4g7nsCMDZuJaHNrmPDt7istiy0KrguqxM7QF0UbnFrfU7Z0vndDiGbcrn5y2j1uncHGgQYKfX30+JQFVdfSpQ510Dgo7DjVN/x2LKn1bkNvUY9QEn3M4m6BfOx9kgb9lVJKZ82fmFE1BtU/2I2+ZdpcLiq31EzRTii/bd7VzaFq8ZZWq3pTscFVsOkrqLcsHb2aiVNX8tul9IczUUvsjCUZeNiTY0e2Lh4CiJ9zvhYWdwDngr+vF53EsFhG3gREIXrHuPirgTqNaL+6xixRmmCoATdM06eAyKlks0m3LC6HYDejx+1v4wPBZ325tmeG47zj9PJQvoh/M33tay3V1wde22gqqKEXxZs/RW4Gz5orbd8nF+XwsnuPyMB97laJ8wJj0Pr3togbbDc6sJltr3N13TvVwuV1c+2bC8GLkmqhcgOMvlOoxbjDgG5+N//czH3XPLChfdXVTXfrptuMI2cAuWx6WZ8zAMV880aG0JHa6f7j0t4bs1Ln0fsjG+8q5ZBvrTChi62F2WDXu2SlUqttwfrWfqfLZQodPx42urdvup88Z9H4bhzf3mLhC1RHsq29Xgi/O7C9i8Lnl9tvrv+ob1qYERx/Hxrn/6iUaUPVar1die2gbH4ZNwU/P8pel69wKeBKaLAC9ciHJRkWtvLgOEM+pCY8HVjMXBjuTEA87FD+TBcRoMwK2F5QRQM0O+Us2Zot7H3EL/pufUwOX6oGWF1jbQCRaPQxezHuPsxxd7NMtn4dUx6nn4yj9f4GwJJ/+sQbLq2jdcNu76orZx53Pj537rbZQuAWHu2b2pTfVWMEV3nCqGrbID24O39yy8PG5OwFzZA/3G/Ou1lsvlUofD4Y39sc5/sxfSkOm6Z91WXV9F1X8e56KpTozLopyRp4yrDqQZs/udHgfYQXSbNrUlZnQLzPU7XuBOULWdqrcPgtdsUgWDXzzWVg1Of98qU/B4tK8c3DS74q0i96nq+t818cJvlTic0LPv6Hn1PmDur2sf/dR22V68I+I5AW4e9aVz6u4+aPm8BnSXSbpS3tTa4EyX57JFa13qmtHgyIHBrSfsBNCH+Xw+Xj/gpOp4PL4R5K/Nu34iDbQERCcaRXwuU7CTY7vADtE6j96PiMlpRT11dCd2nJHrcew4+H4qwt4KEM6mai/tNx+jT1er8v9DiseGNvkTebxtw5aV+4M5c7f5tYIF982VdfQiKJ+La32tR3w6H+MSAH+KDmPn/rmgzkLtMlw9h+LmCDZ1gavFrZ0cznXPrWIcaF1fW+tAj9fdaNX1HUN6PL/fPagKY+THrbqsn/uqyQPed69dvyTv8uwFzXJc1oHvtVbntjwspJfL5U30d1FTRddNjjoWt+MWMC86zRj5vLccVUVUxZSFRe/mmLL5FGyrqT4xWDSw+zBcf0CBBVdfrT61hLclJpph3fNMZXw/JYJ6DAt7K6hPBdDPuVjD86s2VHHmvk6JiUsG1Pd5B3NLePkrzqtritdc1fWD2PV4Xa8uE4e/6VpTO/DfwKfU07803f9HGv9TSRhYtzlVHxctLziuv7itjjsff62qqwlk0W1dUGstdo7a7pzu9+qoCouHy17598j4OfvnvzuRaQUL2IUzV4c6sauh43g3htYOAm3zV4yX51/tyOPUAKV9mpobHMPj4TqtEzHXJx0T26nKP1cWf+fMWu3N10Mw35pYcJ80ELXs7urQrflx42ll9C7DZYHlsfOu5Z55YvtjF6RlPJ0bJAXYBfOYp/5DyNei638D1qfpq3PrVgcTok7pIroW/tXwXKxfLBZX2VZLJPhcKpqoF2lW7gr9rq+8EKYis/bPCbDbtjvn0v+IwOfmbR9nT/oJuk+Zb7UXB1vN3LXv3AbfD71arcaPLyMjqqpRjFxGw23zAmPR4cV3S4hasLiwr0MYVKyQSOBnzs41cKrwc7lCyzyaFbo2nc9X+QeUOz9H4D8cDmPQxy4D7+WyEO/EOIHi/zjB7+FAAvuxbqAdN7f84Q2+DqB645K9HnQVXXZK93e9nw+G4YsMmEQ4HISW/0ea3gTPE8mTyQ9FxtYUx3NxHQLLzocro+wsug3jrIDP4zInZyfNPnVBsKC1amTc1nq9Hq96V70VPBYGtjnOp7fW4Py6PeSxwiaot+sCc4EObS8Wi1qv17Ver2uz2dTDw0Ot1+tarVZj3/b7/dWDWbgN7murTKRBnn+n42j9zEFtuVyOfeRApnbGHMHX0E7rPnb+JKTOEQuJq9MyGuCdvbiMwcGeSxyHw6F2u13t9/va7XZX4ouxVH38Z6tcToQv7ff7en19HdvB2mObso05EYBd9C4UV564dYeC06OvSddbxljIOLpo1FGH4TIE2jqdTuNEwQEQbTF5cBi0hwWMRYFPkMHZT6fTVTucSfDx2+32amvIfdUMBY6jmThvF9kenK2wjXA8t69O56I12lmtVm/EgBcW2kMWyQuaBVKdV4WMRZ+zWggPtsYIEFqbZLsisK3X63p8fKzHx8fabrfjYw3P53Pt9/urPmudm+3FdtXAprVJ3Qm0sl9OFnBvKIIb+qj1ab4dEhkZAoir/Wpw5d0U7wD5djgO1loHxrkxJ3p/LScwOP5wOIwC+/LyUk9PT/X09FQvLy/j77kNzB12lfv9fkyYsL5wHF44Xuef/2UPz6mWJnjuXHKgWTLs8Zu9e4FFaxiGq+eBVl1fUeVFwFEWj2vTCM4Rm+9gYPGo+ihceMKTZjjIfnnitQzAE4eFgPuLdQvPW0xegHpRsOqjk242m9psNrXdbmuz2Vw5KosuFh4/rQqOyn1G39brdT08PIxZIo7Ff0+GHZAJQwR4i+Zu19NtnRMnLf+wCLgPzMAeCHAfPnyoDx8+1HfffVfb7fZNpvvy8nL1qMP5fF673e6qLML95DnSq/itLT1fS3C7De4v25l3X0gAMCc4BwQJzzHg/4A7DMNVpr/ZbMZjVYA4gWCxxFxzEsGBGMEY62Y2m70Jjjgf/I2ZCsI8L1pW4OSIbcnzpGsMvswv/L6lG5ywsD9CbKFJvRhuKPwXk//j8VjPz8/NVP6eQasATn2dgoX+1nmmjlWBcVmQtnurn602p/p0z9hbfXTljVa797R/C9fGLVvw9+48Ggxd2Waqn5/Td23D2XnKxvz3f2b+3HvUDrds4eyqx7g2P8cvPme9Olt8qn4w5/O5Hh4ersoZX4Bmh7qJbggh/I5oim73D0c4PiW171l7uYee25LfMreywW+lzfD/ew1+CQ36XJLphhDCl6ep4n3vlQghhN85Ed0QQuhIRDeEEDoS0Q0hhI5EdEMIoSMR3RBC6EhEN4QQOhLRDSGEjkR0QwihIxHdEELoSEQ3hBA6EtENIYSORHRDCKEjEd0QQuhIRDeEEDoS0Q0hhI5EdEMIoSMR3RBC6EhEN4QQOhLRDSGEjkR0QwihIxHdEELoSEQ3hBA6EtENIYSORHRDCKEjEd0QQuhIRDeEEDoS0Q0hhI5EdEMIoSMR3RBC6EhEN4QQOhLRDSGEjkR0QwihIxHdEELoSEQ3hBA6EtENIYSORHRDCKEjEd0QQuhIRDeEEDoS0Q0hhI5EdEMIoSMR3RBC6EhEN4QQOhLRDSGEjkR0QwihIxHdEELoSEQ3hBA6EtENIYSORHRDCKEjEd0QQuhIRDeEEDoS0Q0hhI5EdEMIoSMR3RBC6EhEN4QQOhLRDSGEjkR0QwihIxHdEELoSEQ3hBA6EtENIYSORHRDCKEjEd0QQuhIRDeEEDoS0Q0hhI5EdEMIoSOLG38fuvQihBB+JyTTDSGEjkR0QwihIxHdEELoSEQ3hBA6EtENIYSORHRDCKEj/wvOLPq74CxucwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 5; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 6; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 7; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 8; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 9; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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bi504jgWWM0a1vyUsbENr4CrZfp2KTUbWBraf7dFzWhdp5vp3ql1qY3XOb40nfr9qr25Xoc7W2MmEDrAOZMKrF8fUxjl60IL1qCfd93Qzx6vDswGP19nMhXPRURFvty1UcPGjV5urTJnr1AmEy+UZWgOSy+Vsiu3X+hjOxHQfTP3Dn/FyUFFhzLKiTGyzK98R3+5/rtrAfmCbNbNRm6vBldnHx2s9ek7lj5b9aLvGrq7Wskmn8geXx5mlCl010VWTjGaP6rfMF+pr7h9kp1znlD+zzDKLHb7IjG2AlvByHfp+luly2zLbevElD7xhsqwpO1Y7n8/hwNTfEZHu4fA2Q+s/vjJ4Saj/paTiweD11JJT262BrQNdfaLn6BVyLTurD+9zRsP1ZGI+J3Azn6jPeCLMssJWRqMrnOyilZ5TDeKsPp0QdHLSu0+mVlHsX91Swbn8YB71SXXxDOVMxZral4kkCxfvp1biqbAo6iMc1ebsegb7dI7g4rXGBXzcO7NVun9HmmaS2YzLAqtZQjZoEOx8aw0Grg62zKapv+fAtmbBX2XPWRk8MQDOclarVToQcRyLv05EOvNXNrPt1VOlKuHKJq9WRsrH6sQwlTVzfVlsVXVo/VMDWsW1eupcJmDaFo1LFuup/uOy9UHdWbxUCYDCcaETb5UJtu6oYf9pPdX7/Hcm5pVYagxX421Kf3rxJbeMaWfx/Yk8g2fOVMfqIID4ZgLKgai3QGVlZnBAtMRUMwQts8owsqU+/mab2XYe/Jp94POpLHcqe4y4ztDVfq23miA1i9U7Mj46+HUAq/Bp5pNNQipobGMrk2xNEoxOAq3+y7YSIMBZgpFNuLBhKsNnssmMX7f6jbdMsrGfbdG0hLw1MbCdrAWLxdtnU38V3UQ3m2WyLAw/+n1FLeFlwcV/COm51cDJBDmbafkCS+u4OTYzvJyqBmlV7hzYziqINYPQQT8VpDxR4nzNaLIBlpWhg4c/qyY4ntyyMrO26O/sDgX2TZa1tkQBZL7N7M/uSvhIOFari3/4u1V/K4Ouxgw+41UF91m11fD6+nr17SIR1/3UysRxrtrH13GyyagHP8R/pLFoohNat4LoPXoR3/69lp2oWQFfqayWfXOENNsCQHn8bQLaXq0XNnK52Tmtv7N28nFzMpGK1vktgWuJr77PAye700HL10yVP6/EpJrYK1HN+rWKl8oH7xXOzDa2K2ufnp/9zfZoW7M+zOrj1Ujrop3CqwidUPCaM2CecHkfF8Kb2Z897zpL6HCuPlT9K/ghnr2A3+xovSChFyX42wd0P5edjHP5ti7dh2M7sr0z/puDERfSEBD88OfFYvHmX35b2Z2+B39k2bmKgwoYH89+rc5nuP1VllxlZPo+f62Qrk7wo7eHqU9aYqI2Zf7kOtmvVZnZ/dstwVUbVGS0DznT4vMR85lv52R1/JvL13OrTFrL14wSwpdtZWlsa3apTxdjP2lfaCYKW/i/OFGeftUPr6RQhiZoXym24MtFl+GARaerYzmLVXHInMydzN/kgM9a/4JcwfahXHzTBIKGO50nkSo4dTBlA5izDX4QTlYmgrb6Bg7NLDPbsoyBy9Dzs+yHB4/eYsX1VBkTD5ap7HHqc83aOTb0b/WJ+iabyPSWryrzZWFB36Ic3iOufJuNCxyjwqU+ZF/y55oNIjlhYY2I8Rsu+C6G98C2Z77QpIPbrr7mi4goC88J4ecZ/2h0F10VCc1O2KHITvl7v3hfKvsGiqwOHVRcd3bbS5aVKjpI9V5d2MHBr3/DNi1Tbeb3Xl+/fTsqMhAduKhXl9TsY/0HEfafZrb6OmuDTnLsg+rZxRmVuM4ZPFmfZe9lMadCxudmWXKWdXNWh3JVGPiz7Ml5Ed+e41BdVNWvm1d/41y+x5V/NPZ0gsdr9Qeejtfqv8zPTDVR6NjkmM36EH7lONZ+4tVxlRB8RebbVXSzpas6hIO/EjJFg4rfz45lx7f2b1uoyEW8nTiyC1I6aHnvGmQZmNrPFwz5Sxw5488yu4hvXxiog6LKmKsMMRNSHTwR+T6gCl8mWurTuWi/Z1mf2pz5e7FYvOnDzDfaDrzOsjFtl/ZdltVlgput3LicatlfTfyaCKngV+1+L9WWGaM2Z2NbbcWxnOFm+7daVqvsz+JL7l7IGg00O+AfHeRz661u8aquxOpAygKb947wmwMqE3M9h9/nAVJluXwsZ4+c9bPgcvvYfywyHLD8hYuZH/X9KmPMjslWJlNk5YNsUuM2vncQ6YUztUEn62ywZufySgif80VjLYv7hh+8Dhs5MdFJjsvkMliINc6rFYTe5sXbTPg8G7ccy9wX/MPbBvr+3H6rYkMnO6YS2+9NvL6XrpkuP4SZf+vMPMfxmXhyp/FzYNm5VUdUnZ5tTWh2xhfxKhtb7+nr7IJKq2yeVPRvPq61WlDxxnH6DyfwSZa9ZWhWNUes+L0sy1d/aFkt4a0mfGTZKq6tdqlPQJXpZ2VwWfib94RZSDl+NV6yNmYrLW5zVi6XrQkFiy+fzxNgNhlOjW2NWdYFfJ7F8xTaz4hv3nqBJr13kv4tfGmmy87kq5NV5qmDJBNe/LDgZmRL3YosO9SlqAa5BigHqoowBld2cRABy37JBkDlW70wg0DLvuqoEkYdBNoOFrlKXDKx48HOS8HWambO4FDbuB28Isl8l9HysW4X8T4i16vbBjpZt578xn7RmMBxWUaptrb8Vx0PWzl+dRxo1t7ql6kxl/ktE9xq9TrVTzrWWv3+WXS9tIfG6X7j3Ea3gioTci272rZoBQCfy8s63het9l5bf2ft/56Bn/kQr3WbQf2eTUp6PIt7JcLVNg3IfNPqpxbVpDPnvKzeykY+JxMufdA429V6gD78xedpv2TfyDDV71NimpWh51VlsdBq7L/nsZfZj24DtMbxnNhvoefoVw/1omumq982EJFfNGqJYmug8cDAjIb3tc6I61tMsqCp9uhwMYPv0YX92cxfBT7XVwW6tr+aJFQUMiHXdulkwUvD1uDWtnHZ/Dn7TL/yR9vOg+0jb/NpTQgce9mjOSs/VEJViVnLz3quZq1oQ7UFU8VDqx1qe7a6ZNvRJ4h9bMWs1+srm7W+zI7WHSL4myct2JCh8dLSjyoxyrYFP5svEV28Bkj1WdA2m82VoOlgZnTWrIQj2496Dzox6B0W2f+/47XuLXNHZ+dwezJbsRxXIcvaymVyuXq7DXycBSgvjafgeiK+7a/zPnvrPs9MuPn9lshkopIdx33Gv1sXQqfarK/1egBvB8AH2dYDiwm3OZsk8De3GX2fCZu2iy+WqY0af3xngNrzPcKlsVqJfhaP6mv+HJMBj4EssUI/6L8LfzZdRZf3sTJBgIBtNps3VyBbDufnbuqsCKeibL0YUTn7PaLcytSnfJJlsdx2XX4tFtffQJtd/KoyuupWPM50quxgzmSl2Rz3HfqAl99ZmZr1gTnZb5U9sn0ohwUrmzThX21/1uZssswmORzLmT8mIm1vS4S4L/nfY9kHqCfLkqsEhgVXY3juhdPML1q3TgIYo/gmaG4rryCz2xzVdk7gNptNOcZbevTZfMl9utVg0NlbB5o6Jpv99RiuD4OInzaknaxP8pornq2LCVU2MBVAVdaJdmLgVv5plTW3bVnGWR1XlVv1m65gNCvRrYbKXo2nar94ql/Zlvf4aa6PMhta9rBdEfl1BZ7cIDZTE6S+nyUrKC/LRltt40mKhRBoZo+vlldd0HGtsduCJzVeCWRjJVsVfjZf+m/ALFRZgHPHtZYgWYbBTC1hKniWzYSEZ0v+//Bs+0DFrwUHRGtbpXUO6srOZ9vnZP1aB2fG1XFsj94eqBNudj5ngAz7kevgenF+axLi4/Vujve2r2pHdnzE28dbaps4/lUcpshsYzj2dDuB25DdvZCJI5/LWebch6erqHOZ+N0a15zwcCyzXVnb9O6dnnzpN0fwJj3DzgTaKTz7s3jzTP9bbMs+ryYGFjAOTL46yuVgYFVZOUSbA1mPYTHTAG61iycKtq2VzWh/cObOy2aGl7nZFf1WH+Ez/YYCfnAK+xL1aV1TdWi/VT6r/MQxmcVd5jfYqn1X1Z2JE09IKrIcPy1ft1Yk/LwQ9W8laFkMaH3vQbNkFna2FX9nWqH2VHrzXtt+K91Fl4WEZ3UVMl5i8nutwTTXeVxX6yIAbOBA0+wXsM1zxYWZc44OALynWUjVHh28XKaWq3XyuZo1tK4uV/Uylchly2BdKVRX9iuhySaHTLwqWND4glV1btbmKUHUtqF/OfNHua1/6GABzurJzuMYa62CNEvm41oZ+Xv3hrn8zP4prcD5KEOfnjZ3y+Ij+bIvptQBgPf0K0haAR1R/2cSz9p60YKXk1mAcDl8MUW3DSK+7R9VwVRlIxycmiVBWNbr9dXDTTD4qra2shoNtuzOiOpqOdfDV9WzergutZNFoprsVAi4TL54BLIH/mh5aiPaulgsxgtRKD97PmurX6t9Z/W1+hn+4PZlWyLVZIALRWyzxke1ImMbeNKoEiF8nt1eiXbgp3WRlNsc8e3WMM762QeZ37OtAR07aB9s5t96XO8sN+ILviMtIr8gwmLLQoPz4GwdBDp4eekHMDCXy+XVc3g12Him5KDFORgcqJdvb4P9PPPiXBUSHhywha+gb7fb2O12sdvtxrJ5UA3D8EYY+Mlj7BO92r3dbq/uM9b+YYHAVeWsvzRoUT4LAYB9q9UqhmEYl/P8sBeFbcbtg9vttukP9XFrkHHfoXy8x3Yvl8sYhuFN7FVZOOxGeRrLWnaWLWrfabmIjVZ8sKjqP7mgft3H5sle73DB5HK5XGK9Xl+JKy6G4e4DHT88UevKgs/F+dz+LMlRmzVRQ7t5VcpbahwjWax8Nt1E93w+x36/HwcIB5QKbpXdwXHDMMTlcrn6fTqd4ng8jp3H342EwTUMwzjAdCAgILJ7iReLRWw2m9hut+NriCMPMBYr2M6zOtvMA4AzCJR7c3MTt7e3o9CgvNPpFIfDYQxivIa9mi1B0JHV4dm/1cSmbeBysyxGb3niSYjPR/9wXeyXbJJA2RBe+AK3FMKf8I2Wmd1kz0ICX2y323Ey0kEbEVf3cXJ2xv5ATMMvHMv6NDCeKPF6GIbR71wXl4syt9tt3N7exs3NTex2u6u7cYZhiOPxeBUvvErDWGKf4auxWKTYbh4Lq9VqHGfDMMThcIjj8RjH4zGGYXiTpfKdBFnigXJwvo5brGr467tgM3zGqyvWDdTHT+TLHgC03++bWyIfTTfR1QEJh7Kj8Bl+R3zrHHQMMia9YwABglmeA0BnQc3+ADpDByvbjiz09vY27u7u4u7uLm5ubmK73Y5lsb3DMIx/n8/nWK/XVxmBCu3d3V08PDyMZSObgcicTqfY7/fx8vJy9c8j6/U6jsfjeGM4ZxosLrvdbpwsIOYR37Ja2L7f76/653A4XGXtEEL8cNl4zRfZ4IPD4RD7/T4Oh8Pom+z+TC339vZ2nIS22+1YLgb8y8vL1fYDytZy4YvNZjOKFtvNYoT+22w2o7ho2fAHMtDtdjv2G2eiKmAQGPgEdfFXTqH/4AfE3MPDQ9zf34/Ci7IxCR0Oh3ESQXxA/FTUYBtikP3O4xD+0NsteWWJ93WMZdscGLcYX7CR9ULji7WBbc5WQTwO8ZvHNmIdOtJzm2ExkVZ/WM59Op3i8fHxytFvjJloONua7X1Vn1V1VPVVy13+mwMpWyJO2VUtfau/9Tzd6+O/57R5qu3V7/eUW9k9VW5WZsvuuX6obG35ubK15Q/d6pjr6/eU+xHxUdmY/Z31my7Lp2Ika3t13pRdU5+16tP3LpdLPDw8XF0r+ABKg7qJrjHG/IEoRfdLLqTNIcsafzTeuySZastvWeLM8dNH2/s9dXxvf86x/bPK/gw/fE8dnxkfPWKjF9+jHb/L7QVjjPkDUar4j/dVmcYY8zvGomuMMR2x6BpjTEcsusYY0xGLrjHGdMSia4wxHbHoGmNMRyy6xhjTEYuuMcZ0xKJrjDEdsegaY0xHLLrGGNMRi64xxnTEomuMMR2x6BpjTEcsusYY0xGLrjHGdMSia4wxHbHoGmNMRyy6xhjTEYuuMcZ0xKJrjDEdsegaY0xHLLrGGNMRi64xxnTEomuMMR2x6BpjTEcsusYY0xGLrjHGdMSia4wxHbHoGmNMRyy6xhjTEYuuMcZ0xKJrjDEdsegaY0xHLLrGGNMRi64xxnTEomuMMR2x6BpjTEcsusYY0xGLrjHGdMSia4wxHbHoGmNMRyy6xhjTEYuuMcZ0xKJrjDEdsegaY0xHLLrGGNMRi64xxnTEomuMMR2x6BpjTEcsusYY0xGLrjHGdMSia4wxHbHoGmNMRyy6xhjTEYuuMcZ0xKJrjDEdsegaY0xHLLrGGNMRi64xxnTEomuMMR2x6BpjTEcsusYY0xGLrjHGdGQ98fmiixXGGPMHwZmuMcZ0xKJrjDEdsegaY0xHLLrGGNMRi64xxnTEomuMMR35f8u9pfTW0V9aAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 10; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 11; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 12; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 13; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 14; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 15; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 16; current eta: 0.5, current beta: 8\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 17; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 18; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 19; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 20; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 21; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 22; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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1kknXFU4eu1wuD7Xd85f74uDiMaZNjKlJ34uTeW7Y5cIunKE9ublaYC2EbXMEL8huyJ5tj9knAeOV7YmkbD6f94Jh7stqtYqbm5vfJumyZYyN7HlzeUQ/uyPz9UqqS7C8QZ17OHOwvuqoR6R0CQLpe1XWzg+ZeMtVdsx8HvcGNmpgwnO0dnlGm+3Evpc1yBxk2JoT8bRlhmtkIzd5cF0Wy9C93F5nqIfDoSfHkPm4rw4gzn4z+Tjj8sKcncmZ3nPaMtfPwe25uQCc4wchTN4OVNzfWeHQWsDQ/Fgyso3lXTrMve02kxrH0oYcoC1LeeHIRA6oKHIw9LY+FttoN7/3Lg63BT/xuLgt2BPyVh4jL+a5Avbahu/nytMcYZkEn7+7u/tt7l4gqvA0FEZt3YXBw2HZVuaSx0I92pAzM5dNQ+SHdgv5QwA2ZE/Mw8NDl8HaOZyF0S6Tv0knbzWyBIJG5VVia1JDGY4DCM5PYKGdHOtMEoM0aefy1sSYicXbdNznvEfU+q/3Pw8RMNdy9pZLbfrPrhLPnZ9Qc2nuvvgevn8m59wvti1hZ86U8/5vE0auHPJ9bGsmSgdRL5hxnB+EyZVRzlKzjmtfsESUKy36aZLEzixN2A/sG+x6cPvdV4+Pd0hERNe/rHk7iFHx2UdtY/gTO4yohs0veRzY7WO+ek00y3QdKTGMvGobEb2nhaxFuhzH0RnQiKeoycTacTHinG2gX7osinhawHh4eOgiphf9XAqaULMB02/3wc5OMPKER/SzA2tSJl0bs7Nz+jFUJlsP9UJJLiM9J9vttvd3Szz5qTy0wUx4HuNMhHmHRT4f7ZWHVXgcHCdar9fd9Qh0zjYdDOlX1kmzvEMlRUnsp9gor+mv58tj7QrOf/fccwxjyuKcK7bcRs7JNsKc0kevXeRA6kz9OdnCv8++lMmWMWFhLT/aniUUn4NvmpR9PwcDV32Mla/NuRzPFjZzCtKX+zG0q+c10ZR0rVWZCCP6ug3O6+wD2PicBVjTdHbp1V0cMpOCr+PswCXf8fFx938TBRn3kAbl7BI8l4UNEQ/X8hjkzNwLXx7f0WjUZWl8/I6CTLr5gZQ8Z4wlcN8dMJkLB7K8KJjHxu1yO7g3DjREusynF1foDx8HEvrO+R5n7k0wMenSR8jEtktAc3aVN+ZbZ/a4e049bn5CzSTqn/3J1ZMX85jLnOln28s+NUS4yAp+fNq7bUzITkSyFOLkw5UZ40r2mqUs+pkXXs0NlofIcl11OMvNckgLNCVdO64d0QtLLic9iFxjKMN0Jmk92GWHDdRbRyKeMpaIp2zJJOfIOJ1Ou32xfmrHxsH9cmlGhM7HOBPlePrtfmY4a4NIvMJrTTLraSZ4Ew7jntu+2Wy6LAz4HlwLkoT4TCTMoc/Nc8EcQ6DP9QXSdPZkuWiIdLP8wf2ytOCP22gbMZxZ5bHOwTXrlbTHAY425Uw0VyNDsgVtIRh6nhlXqki33YHXdsJ97Ft+0tIZ41AShb8R+K3N5vH3/NuPXaEyj/4MSUTZ3rKenavflvhV5AUIdjabdb+zg2Yi4+Nz7VCUvdZ4cMSIPrHwiK8zNLZ2OcPCifPOCMrtoes7S+D3WbvL2ZWlEr95y0EnByeXUtwna3t2UDvpUHuHnDlLAs78cZQcIH0NzrPRez453rKHS20HYeYu69o5U88kZXmB63hsc6blNg9lgu43gcjVBqCvuSqzbWXbzvPiUjqPreeH+1jewJYsJ0VEZ7tZS/b6ynNVj+3I8pr1W7fD4zYk0+Dz2LeTkSzfYfvWZXkc2u8u8Xziq5lXnJB5sf43KS8gWPNwAcRF5zGE/X7fe4AgRyeXUtmY88faLVnMfD6P09PTLvJGRLewhpP6scxsfEZ27LyoB3FjlM6a6avlAu6V9Vs7mXcU5AUbg2zZWQ2LMHkrFPfLmh26Nh8MPeIpc/L97Sy5hONvjBv/mmjcV//LtbkG5zjLzSQ0JB9gC86yLHn42rbPXFF5DsB0Ou094XU4HD5asXdp69LcOwK80GPYFrg+7ca28+KfX/BiGS5ff6jCtNxAX/KuDMPBj/uQWNnnCCbsAIr44THnHATt927vfv/0tkJedUr74IHdbte9jdD9y+PMv345VAs0feHNzc1NLBaL2O9/2BvIewk86Qjsjko21Ij4yAh43d5zemnOdClVnVnSRu9IQBfNW5VyGWrCzfoRk+vXIBI86Ae/c4aKA9Em2udr8Xv6x9hkkuYavOrOMgslH9kb5/MwyHq97l7Ow5vHRqOnFwUx3pYhcl9zcBgiV35vHd0kDQnmAGhyd8ZismUuM5nnTJxABbDRHPA51i8ycvbsYM84O6tzwPQb3vhwftatPYYu07NU4Acz6JvnhocZaGP2Hc6zXTmTzlWmfz+bzTr5jd95UdKZ9+Fw6N4C5oAJcjC3Xeb3IDMmlkAIioyf7YpdL5vNJm5ubnqy2Wuj6cMRNzc3cXl52YuCzgKcbQ2J2zZGC/oR0SNPl3VDpVmGicPZTy6FbVxDJaozXCaddwd7VRfnZjeEs/aI/jtd7VQ4KS+YwUiRSSyPQGART8TEvSBanhBiLy8OD6Hn9lvesZSSyzdnEdb5XKpmsnbpmLObTJj0e4hAsw1wHNf3wqpLZsbXGiH653a77TRdZ+aea+QpB2XmmG1uVB74A0TgV2MyZ9iuF/8gFPrDv/nJMcDYEziXy2Xc3Nx0DzRwH5IQHl5wPz32DlKQqgOh55X7Q4Q5GbLv5fvl63khN7+/OQdKrumKkrFyYPMrSX+zpEtZQAl2fHzcLc5gWF7lJ2pmUjMxOppButYAifosfNgxOT8iuhLDOtHj49Or+8gEs8NBTLzPlj7YEXl9HC+dthbsVyECon9ehMlETpmfF37IpiBdVwqj0ajL7p2BHB8fd+OGEzk7yq9s9IKWSWGoRLZTeX6ti/J3fs//nXFlPTM7uCuafD0/9USmw3leaOIYynFnRg6OLuGxPzJf7JZrs23J73mFjGxDlLhkn9ZZsT3LNbSV+bAm6aplu93G3d1dXF9fdy+3xxYjnsjTXwJgqQufs2/kCoSxs1SCvdF2S1iMVyZjEggnNsw3PumX8XisvFjnhVnzBv7DnPoNeb9JeSGiPwA2IErWiOiVR1n0j3jaSoMDOeI7g2Hidrtdl8k5K8MomFAG3xkdE0FGCjDq/I5WZ50mIb8qL+tTRGovnvBsetYArauyh9iZFVupcCiX3ey5zQuA1uis77oPXijxQo2fwstasMdrSA8nu+VvHsOc5fk4xstZEPdwEMjZqCUBZ5RDC0Wc4/6wCMV9SBqcHXu88gIX7fJ4O3ngXt62xlY1slXs1ePLwrArBBIQFoj5KqTlchm3t7edHTLulkMo9702st1uOw2V9yY7cDFeJjbLMZ5fB3dXLU5wnEDg5/ZV7/WnmuCdDiySm7TNM3mdgc9QFv5aaEa6doocGXEQPh6wvJ0o4uNvBIjoPzyAsZtsOTfrXURSa59Mqg3EkRBnIUtzeeZSz2W4SQCncBZhfTUiumxpqBzCqHEYSky/B4JsiiAFaZh06KvnI2ukJgQHB5MtGQhZhANW1uic2XBNHMpz4/nhOhBNfggjE1y+J0QFKdjhuHYmXc5DwmIvcbYxL1KyWu4VcssntN3j68dpHdggU8pzsu+8EMYCnp/UY8zQPy0R5YCQ7dNZLsDWbYOex5wcWEJzAMgLm/i659gP3GRpI6+5EKCQRfguQqoKByhLXg648MTQ4uBroRnpTiaTWCwWnZge8USaTACZk/es2pBwFGe7TG4u/yEvBhYHG9q/mbNp2manzsh6Yp5AykgvCNEOSN4LBzZavyIRmQJCw4ggW9puSQXjJRuO+DgTIbPHkbmXN707S8fpTRi8F/lwOPTeNvVSqYaDOcvIWVHWixnrLFf4WoyvNbys4T6X3Qxl4s6M0WtpmwORM1v0blc2fow8InrfQ5ffZ0Hb/dCJF6yyxGLJifuYLJknkzTXd3LDYl/OFmk3mWYmWkC7svbrcXXA9twyb7TtuR0fTo5IhqyZLxaL7uEZfB9bpA/MGW1nbPniz1ZoRrrT6TSurq7i7OwsIp62cVgfMjnxzQzWJ63HePKz0/nDRHugTU7spPDuhLx6a0PJ1/XTSHycbfol1M5anD3nIGCyGNp4blkgR2iTv79IkbHFcCFeSJexsJM6ENBWjsUJXf56m5+DIOcNLRBmXTCXeQ6MQ8HP18vZqq/n4Ms9uZ4DF211ZuXtTZCuqw7vqvH7Aywx2fl9ntuAdJO38hnMu+3FJTRVgEnNZTuwzWMv/rYUMkbaTbaP/JBtIftJzprzHmAnKs488x7hHKQ5jg9jRtt57NeBxlUF3OHs9urqqpfovDaak+5isfhIA0OfyeI4k0jGwaR7ESziafItCdixPKAuq6wJ8jdrqzZwzuFfjPjk5KT7OmseUaUtjto2NO5Dlu7jONfat7N09habPKxnR/SfFHPQsk7qMhUtMeLJGYf03TxOEU9P8zkjHnIOj7ed0TtYnAHlLMla70uShX/n7DHfg76TnWbSdyXFAhlAEnKmytjRzrynlWv5vj6Wf/3YcQ4CjBsLZ+Px+KOvXKdqyMSGPfB723MmRrZVspDNPHuHxWg06iQuX4exzrsaPGcmZmzAf8vSX644uZYXNPOj7g6y1s3xOc+Rd6e0QFN54ezsrPsOJUpTr3QyMNZsMFYG1SuXEMpQme+Bz3D09AJQLm8xiLyiagfxF1aSHTgIMOmO1NwDY8yP6DrT4lpkIpSCkJ2J2kGL461LU47lp4+sm+NMi8Wi0wIzmVLWZkJx2es+mtT8ngYvmoKc2dlp8+Kqx9cyQi597cic710Atgtn9HkubKd5QZJAx4MABGHeH8t4QPL0nb8xJi7tCUC0ATvwWEI8Pt5rHvSZ+/F7j7MlFy9uWbO2zMXPjL8X/2z/HlfLMZ7H58p6239enHSi4vdk5HGAI7x3nGSI9pKYOKi+NprdiajsLVzeARARvVc5Oro7omVtxmV6XsRicA1HPpd6eTM+BMVk+p2qJiuXYibAoYWS7OQmEhMnsNNwf3YhOMMic7OuCDnjYNzbTmqnxejIwNnu5i/QhGjzApIDy5A8gJPk/z9XSvq4TLgvjVfWkjOZ50ojVwiQqmFid4afs8lMuP4Wafd9v9/3xp3MP+Kpkhlax3BVlDNS7/bxnPCzkxGTch4zJARsy8lPfqEPQQd5Dt8kC/cLe/AF5KzRaNR7N0SWyCxzeQGMOaUKIGixJS+/k8MPSXgrKH7gCoB5z/P/Gmi6ZSwiesbgwYyI3rfKsofXAzyfz7vHiHmHKgPLNSM+JilnkNYs/YhrXtX0jgSXLlwvl5A568sruSZcZ37O2PJWmEwQWetz8HHVkDM7Z0dZNsile0QMlmze5WDCcjaSZQVXDF4IYi7yosuQpJAzJmd9z2W2hrM6H++sib9Bou4fbYWQrRFTSnucc6DGRoakLGwIOEnIc+qA5izZARM46887B/KCnHXPo6Oj3o4VCNVzbtLHJi3D+F7eusj2TksZ9u1c5fk8krGI/ld5OdP13navWVh7955wgsNL6wSvhWakC6nQWYgPool4It37+/tOf7KjE3Gd6WTi4Tgvrtnoc2ZmeaEblEn/69Z5bpwJt9HRNvqYS6m8yOfzTDzeG5x1MksPnOc3XXGOS2CyGpNUxFO25UUe2kbZnXcJ+HpZF3a14cUzE3l2dI7LOzHysc5Oc5UwBJOiCdbSh23AZJ/bncndi54eE+6VA4vv5znzwqgrFZ9D4PSCa85QnfVCui7FfY7llyy3eNHW18AvCETYuceJ+7KY6nu7Eo3oPzjh9tnOmWfkAVeKZPoR0W0JI9DhH9iSn9pkpwjX4TxXhuagLL28BpqS7sPDQ8zn857R29DYhO3vUYr4+HunsgNnvXHISHzcc1pgRH/133tvHWHzCq0XvSKiR7gmWqIz52RyHsoEMECXyplYrOXRBvcra6y0EWkH56BdeSeCM1nIgLEe0gHdZxzCmamJlnY7U/GcmfSc6WapwPf2ffyzAxv3t7ZO1sXPmYwYc85zmzLhsEeW400G+akujwmkw5zmnSs5s8dmPR8vEZylCduhxzMTL/bkSgbisr8gQdims9aeg162TUs49tO8QEg7bFscxzf8Io9ZgzcXcDzvwmiFpqTrBRkPckT/ZSer1ar3jQRENpPpT4Gd30abV5GzI2Oc1sxMtFybfmGkXN/7aWmvSzM7LAZKWyzyuw/Z6ex8JhZnT84YrYfSh93u6duKyXidYViKMYlZCzXh4hS+n8csl/S0nb+53ZlY3D9noZYvhs7JgSdLEdnRTbg5WOdAlsfE1Rv7ZrkOv3dVZWnK9ui25wQlz7fHzoTrDNGEhQ3iXwR0V2W2AcbE9pzHjf7bX/LODftKzr497q5u83wZWdIjs95sNh3Z+tH7XLk54PNATys0/+YIE5EJwBkX7xfwwkAuCZyluMzP2Y+JJ+LjhwT80EHE05c3emWdtg1FZa7pUjm/Zcvt5Xpcy85I/4nmNhRntNn43T/a6RLY2hfl8ZC0YTIeivyZ7H2MM/S8y4BzcxBwtZDbD3Kp5/nO8+p25r/bVlwNuS38jFxgCcAZPf3N9zJy2WrStmTEnOdHxfNYv2TLnke/tcxvM6PK8mIzY5JJmy1y1rhzpuvs0kEwl/yWGLgvSUW+pq+dq8khf2f8XcE8PDx0Wa7fJ+EELEt8LQk34ldYSIvoZ36sxkf0X4Lip4AOh0NPsI/oa42UOZ6coWPyPfxoI8Rucd+LTnaYrHNxTYx2SLyPeJJJaIejPoaDVpbLyJxh0r9sgLkEHI+fvl+MN4pFPGlsueTGmZwZTafT7uk2Z/QOQp7b53RoyyRZy8ulZybGoYcCaIdL/KHM6aX7+NjcXq4/NL4OIrQt24xlET7OCNFEqe4iotc2Z9Ie51wdQpx5N46zPGfUWd7J8gj34n6skeSxsIxgecmLZO6TdfH8kJMrOgfKnKw4QGYphXH005F5K6gDgjPl54Lna6Dpuxdc6rsEdcT2Sqf1GiYxb2fJ5Sr34t9cPkY8ZZde3TT8dA77KE2s7oPvz3W9LxDSZQdANn6X6JnQcnkMYebswL+jfTZOtiKxtSYiei8LckYGuAZG6lI5Oyj38rYzt8GLIL52fhsU/1rHi+iX4SZe5sQLTj6Hf/MuFmwsj6UzXdrJfPge9NnBxePkTMpz6LnwVwBR3vrFLiaz57J/28yQ3eXx8LWYEzJyjwkk7QDi8XHF5bWL0WjU+Yv3vrqas3+5UnL1mDN6fvYxzImfBsSnvXiWM10H4OckjddGU9LNzoPRZr017wd1eZ230ORJynqvf+fM2U7kaDudTuPk5KTba0lQcKlmcnEp7UUni/cQj4lqSFsEnOPtX47+LnVzVsgxZMtUCPwOfRzHsW7JuW5DnjfPk4OENVU7LMh6pOcmjx335zgkF65tm+Bc63qcn/XlnEmZDH0cbct2mWUXy1popSaFrLl6cZEFWo7zPPiR1Uy2lgSstXurlwn7ORvLlZYzf9rg++fKhOMYcyQsAtDhcOhea8p4+Nq+H+NiOzeyj7uyIWCh5+ZMP1eo3nnkIJ554zXR9OEI9tNFPA0ek2GhPmc7RDMczCL8UAk6NHl2cDuWo6f3WfIM+tHRUbfKn8k9T2JecBq6tyOsndWlPX01OVgCcInshTifS8ZGhpplh/wEHJvZc9Zux8iEkuWFPC7edWJt1H3KetpQlpOP91g9p8kNXWcoWJmcc2ZHZp/ngWsNVVsQYJZiyAKz7OFx8VoD73glI/W8uV+5WvI8eN68vew5WySgu7rKWb+vkcf46OiHhyToh7+njaDi814iW9o1mTx9GwRjme3fgceL0rZPggEc5H38BItW+FVI1yWnF16IrDlDyhkQWYBLPa6fHwccyqwo8TAQJjyvvDq7JEtyxpi1OdrnTyYh+pvJEyfNpJu3XHEPb+lxVkJUp3TnuFxi0V/ImWu5Xc64PM45eFmK8EMV/D0vpLgfecU+ov9VNJnYaKsJwkGT/zNPXNcVRtYfIQu32VURmXbucx4HMi9XKbTFzp1fAE+78px6f6qrF8DvPbf83gECO8oLqjlrzknPc8TlpxhJGPKiOO3FJmi3H7zJfubKw0/s2V4i+u+qzgHd4+O58t57y0Cu/lqhqbxg/YTO7vf77g38LG5F9Pcv+oUj7G7IW2+Oj497z7r7UUqipB8l5FV2Lv8jfngUcrlcxnT6w9uUPCE4y/n5eZydnXXvkiBgsP0kf0tpNnqvCjM2zladgWTCsYPgpBigM9WsIfo9EWQPEdGt+JJZ+dWOEIAzLsgVZx2Nnl4izSOwPMVn/Y825gCRyZD5ceYxVBoP7ZzICyKcY5kH2+Itdp4Xr7izsOo5YgFoSPN0ZYC9QlDY4/HxcfdOBl4nSNvW63VHCMy1KzpnldiGCRkCyVmqCRlZw+924Ppu/+PjY/dmNfbeOgFwhWVZxzsnbm9vY7lcdt+s4eDG2gKk6Pd4kKjwnhHG0Y+jO/Pl2p5nzw884xfvZ013KGt/Tbw66boTdC6XFZAV++tMJmRueaGNLABSubi4iMvLyzg7O+ut0JuQ+L/JyOU5RMlDGufn5723h6HzXl1dxZs3b+L8/Lx7wg6C4ruo2BjvScaAMBJrjiYGk21Ev/TMWYh1YgAxzufzrr1v376NN2/edM5+OBw6YnT7mQMWItwmsjSXxQ54DnpDK/ncw98uPPSKQ+ts3Nsk7czZ9/Bx9ClXE0OPd9NWkx0B1+Uo7yh25u/AwktgGCfGfzKZ9Ozm8vIyTk5OOgLDXv2eAGuSgD4wZx6z5xbwMgnRfxOVF9W4L355dHTUfW8a53qtZTQaxe3tbfflpXzDxHK57L6LjUrBFQXjbV3WfumdHbe3tzGZTLqvGvJ+/8fHx961rE9DutimE54heawVXp10ibSHw9MXHjo6Y3CUwn7Js8t5R0WvhPJqxbOzs3j37l2cn5/HZDLpMlZe3JK/qiMvevF1zhgg26yurq7i3bt38dlnn8V0Oo2Li4t4+/ZtXF1ddVkjAWO1WsX19XV8++233RagxWIRERHz+TwinkodfoZ07VwmHOt83t7lfZ2ZsDHc8/PzePv2bXz22Wfx7t27uLi46DI8SNcGu1qt4sOHD92/zIFlA0slo9Goe+EPWT8kBpH5q8CZv/v7+1gul3F9fd3LrCOeJB5LJLQ3yx0RT1WLn7ByVj107fl8HldXV3FxcdHbRsc9sNPtdttrD/YKuWLf3I++kKldXl7GYrGIk5OTuLq6ik8//TTevn0bZ2dnnb7reeD+z7203ll8RH+xD0KzZGRZjmPcH1cXu92um5e7u7vOt7Dhy8vLXsbuXScE0e+++y6++eabuL6+7jJTzxF2hg3zTgW+Y9BbG0lodrtdt9Ph7u6ut73OD2NEfPwFrA6skC42aA4ggzZfvSaaygvOmDB+ygiiXd6fm0srl5AY2tnZWbx9+7Yj3aOjo7i7u4v9fh/39/c9kd3RDSPM22BclvH2pPF43JEw2QplF/1ByvA+Y4w+60oQBDKG2+VFLgKR5QX0Qq/GO8M6PT2N8/PzuLq6ik8++aQXJCwNmKgeHh7i9vY2Pnz40CshMWCCQ35SkAoAeQGypa/5O6twboKspRjm1G9v81jxaC39hfQpV90XfiY7tL2cn5/Hmzdv4s2bN13gZFydaRKg2WlwfHwcd3d3MZvNOhmMAEhWytxwXwLSmzdvekRvKYN5cNLh7C9XHNaXs3yUCXHIthzIIp62D2Jv9OXo6KjbTuhtlI+Pjx2JQoYkH7zvgDm1PGZ/437WbEmu8LPFYtHJj2S8To5yNm85xv69WCzi/Py8e+0kW0Txq6GFvNfEKEfPhF9sxzCRzZ1zCc0A+vNiw9ICi+UKE9TQ9fLPz90zG0y+R247Tp4X74b02aG2/Fh/nV29dG4ekyxXDF03yxZD+uiQ7pW1xqHf+18viuQV8h+711C/f+y4oWtbthhq29B9hsb/pXsNzcHPnYeX/GBofH8qceSxGtKBfc0sJwydl23/JV/K7cx98Bzle/j6P9bffM/cdo+Bv0bsF8KzjWtGuoVCofAfhGdJ91d5DPjH8FOzP/BfLQ1+zn1+7j1aaEOvDWc8hZ+G/+Qxa+G3rbjhNVGZbqFQKPzyeJbt2+6VKBQKhf9wFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQxTpFgqFQkMU6RYKhUJDFOkWCoVCQ0x+5O+jJq0oFAqF/xBUplsoFAoNUaRbKBQKDVGkWygUCg1RpFsoFAoNUaRbKBQKDVGkWygUCg3x/wDAkjJxs7Lf5gAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 23; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 24; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 25; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 26; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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E3tzzuTJG1knPtSPQXFc3sefsL7dNH7g+65Pvxf243sRvGzHJMycsRHltIo/bztXrIdiNMwY7mkzEeS1gaCyj0agRp3fIQLzWT8BYrq+v/5iku9ls4vb2ti1AeXO5jc2r8hg5Bu8FACYx12ly5EBbTv+d8kD8q9VqL0WOiD0lo1zAliunuo5yc93VpEG/3BdHIY6STWb01aTrqM1EniMeE4INNiu5nRrt5wcnMiHkUoCdC3+bPDxut5EjPi8McT/XSm04zgi4v+Vtg833cb8MHIG3ONmxI2f66Hm2XjgqznPksXvMHrf77+jRUax1hp/OIGwLea5db3V/IEmXnCh54VC92EZ0jBycfbnfrnM7WnXtHxvMTtClRAcPRNiQJjrpe+UFPOv2w8ND3N7e/rEW0jC07Xbb6kVEEAjFhMVkPjw87G3uR0GYAD8VZHhBwZ6UScHDkqa6Nohh5InhwQP2/NkwSAFN/qPRaO9hDRQxkwFGytgyQZpcXB/L5GXFtcK6b7mNXLrxy//LRuoIhDHT70x6uS1+p29giAzdBvNDpJR3a4xGo7aNLN+b9v2T+w9d56jIT5JBPg4Kcg07R21DY0F2jlrdDvqVicsZgf/vRSaX3kxMuTQ0RI60521tRPgRsTf/3kHg/zlAssN1P+2MfW1EtAd9hhw7dj6ZTFoQ5WzDztm7Kajj2nFYnymTODsdiqh/TXSLdBkw+wt5eAGPilAhGq/I46EdRXhfX8RjNIFwTRqOmBxtuP441FdqXU4zHT1b6VzayDXhiOGaHYaaCciRgaMarnf7NhjXuIYIhCwDooaUc72bMXghw84BAkChIV1q9TlS8eo7cLknOxjkxXUYEjVBP1K9WCxaWzhrz5nLSIyLaywvxu1yEfckHWYs7Bf1gpjllcs5rm8y95kw0TvsImNovnM25AxnSAftQD3/tDekg/zfpJ2DDrJAP1xjUvec8n8+w9/0ww6I/1t+gDISepmzCJwGDzFFxJ7Neg+9n0btgW6ka0Nn0NRAI/ZTX9f4XkKuN0UMH6qTI6ChdBLjxpgh3vH4y+OX1J1xBiZG3ne04fYwioj9lel8fytVjogzgWdDRmmdljpac4TouUDeJqic9jo1ZvERx0e7EdFId6gmyXuZTCG4THqQGM4WAzo5OWmr33ZAtEV9z5mUSznMgeXJ71xPFuV9px4jckHPcP5ExS6doW84pkzE6G7OEPI+4fx6rtyQ02svJGYdArmtXMpyoOGnF11icJTr7Wbu61AtOmcE1jc7klxqewkODNAlZ1i5FJL19Wuj6yljCDTisYhtj+mJNjIBWFgos1Nh19ps5BHR0lQ/DpqL6FbQvKiDw8Cwh7wsJIqhQgROh5zO5VVVO5O8wGiZcK3/9nYq73XECE1AXEc/snH4UWk7GxsC19AHyjA4LGcBeauUxw45QDhEMHyW+/iAG/pih8dPR56Mh/a8EOjICDm4Tu89o4C939zLzsOEi4Oj/3l+XAKgPe9ssLM14bocg9yZD8vKT3PhDNkp5PJWzmpy0JOzxky2eVshfXF9OD/+6ywj70IY4gYvrjl4czkiy8VtZrLNff5Dkq7rPgjW6QpKmusuTstdt7FikypaqHnvoD2fU8aIaFG302hHk/Tfq71EVZ7sIY/u9DpifyHN5IChHBwcPNl65sghRwJc45oZfc/9cV+53teZBIYUkbkhcuPeuUY5FNHYMeXSB+PnHvyEMLJTyPVR5JjTZdq2Myc6RlZ85iXH5ijLzph5HSqNuI84H2dRud5rWdL3PB7PI7rgz+AoTHLICz3PpG3Hn4nXchrKfnKZIeLpjhGyLU7l85kLXIfN0if0zO27dJhPxCOoyQuFOH7zylBtOy/4fm10P/DGh56wSOXzB7bbbUtdXD/KE2PF8PYTT5KjLIiag2ycFm+3X551R2FYBHMUYEJCCV3Ds4HboJw6WiFyGm5icV3LhOVI/rltOk7JuJa+57o4xoZBOwpE6YdOH6O/rmfTPp+1YntuIva3aDnNdv8zURNBm2i4X3ZGOSK3znge+RzX0Ef6lGv2jvZ4xBtYlrvd7skJXES4Nn7LxvVFR3eem6wL9NtRsEk3LyAxRzmiziWqoag667n1zfpLZkFUPZlMWlno6OhoL7v0+o0dn+czR9DInu1qy+WyBQGeQ0ogzLvl7l0X7NV1tP210f3Am7Ozs5b2TKfTlrZCTlZop+4Iq3VcCmBljBiul2JITrWJLPF0uRYVEXsRcI58nquzWXk8HjsTlIxIgLHmqCWTF0ToYzFzJIS8vWjCoqWfCHI0FLF/DgDPpns/JmdmEI2bHCIeFypc88sr5SCXhCAWSNtncyBboiPm1U7CP13jd8ZgRzwUxdupQz6MyZE4MvVBRo7C7ez9KCuf5zqfc5DPO3D9dyhTsBzQa2dNdmSZiIgSIaucOeXSE//zyyUIE7UXxClxYWvsAuE+2+2XXUQm1aG6s52r9ZJxAOr82By26IVe9MoHB93c3AwuXn4tdCXd6+vrePXqVRMEtTyUEGPx4ldOVzFMF/RBTveH6l9DaYTTQROmDTanYUMRk1NjyBGyYrucnzLzajvE4mgg4umh2uv1uh0wg6NytOqIIadREBLKT9rHUz6UZNiq54Oq/bhnXhxxNPocgQzBBIb8c0rpTMHkk1N1Ozn6BYlm3RoqJVi3TD4YKbLLDs5zwvvo3snJSYv0/BRUROz9HNIN5jyXfCjvuCZLvRniy/LlZLubm5u4vr5u5w3wGUjx+Ph4L+LLpTXLzfbgUovv7QDkOR3IAVK2W5czcHQ+ON8ln1zC8/qPSdfOZ7lcxvX19R+TdJl8PBACyAsOEft785xOYVS0BzHwGUcYTp9RcE+G092cQrvNiHiy+OGojM96HyH95DFJH+MIcR0cHDw5wDnii7Lmg3v4P8ZNWkXfcAJ+ztxkkQmXz2XShWRc63Y7EY9bcYhgvCMgp8gm3BydMR7Xlj3eXG/OjjMTpx2j5w5jQ4beIpT7xPXUCPP4vcA2m832Dj93NOloz6fSkaZTl4yI9hkePmEevMDIGNA5LwJyj0xukM16/eXg9qurq7i6umrfBpEXKX0eiKN85JAPtn/OHrBJl9gYt0tv2dlCsq4tO3MgqyCDcmScD8hxpG/nTd9cXnBduBe6bhnLtUkvorluxEQ6bQcoOemZCXuo3oowc22VSWAiITKeI3ediP25EY/G6RRmaMEKQ81P7nhPoBf7Ih63h3lvoeWEcdp5cV+IgDScPjq99yJhLpNwPWN25GiSgqz9DQg2OEcXRo5CXJ+OiL1o3QulTt2RR46CkJ11J0ejXpwZcggmdT7jOfTCj8tTjo5dA6ZdL4zRrjMX64jXEdiCBklHRDsrwXrDtr2jo6M9J8t8+qupPn/+/OTAdNfX6QdtMV4ObiJ48DeKWF6MBTk4y/Ac4nRzucTBkvXQNV8yAhyOZUXdmFKL9dq1XOuA+9EL3UjXhpQNNRMXOwy22+2T7yHLaSOT7y1HrnNxb4zVq7KefIzMq7EYfH76KNeOvR92aNuXx4cRYfREEbRhoo94NISh7y5DprRLrdb1L0oYkK4Vb2jV2Ck/RO/00QtfkN5ut2v94n42auAoB5jwvCPFZODPQzouOXge3G7OErxAyBhNBO6LIywfg0i7OSBAPnnVPWdodoROd3E+EI5J1311fTPi8SuQfMazSZTykA92cfnEpaIc7DBWL6hSB3Utf0jG9NdO3zbFfbyt0BE+97cueaeBPw/h8t2F2LgDgJyF0Q/u6cDua6Mb6Y7H47ZrIBOvU0MIh6gFUrZnitg3YAzFdTAboFeyvars67PB8TMbNnD9lijanhqFg7SYZEdQXkDi/+zoAJCyv83Bdc2I/YcrGDfjHKoJ2oBQTu7FPYaerbcR8X/6MvRlliAToGUKybPCnMnMxG5d8TzkEoadiB1ojmy4fy4x8FkvuCBXZJB3IJg4IF6nsMjDC0GZBBzlO822jrp/dgo8Xu+aLvrk+cjEiq46WnQm44g3l/qMIVvJmYQzKztN229eN8l64szGGR7f9EK5LNuZ68DYK3zDF3/2QjfSnUy+fIPtycnJ3kovEYCNH+9l8swE4IlFiLTjqAUlRkk8qf5MfkFqjuzyy/U9Urzj4+PWBiRnRcHrWoFyf0zGNu5MLvTNsOLych3QtS22yXG/TCIuL+QyjevdkC47HxzJmiBdt89ZQI4w/Tk7TWAiz04XZEJ2RDdUD3bazzywo8M6QdruA7/5nM8PsJNDZ717wHJ1bXIoMACedzsXO0Pmx21jB27HUR71/Xz8IuPgabv83XvZHixHkyzRJ/d02ciOZYiYh8oAJt38iLh1knl0BoLeoleXl5d7svna6E665+fnTUldW8P4mQxv1H54eIijo6NYLpetvkobEU+JgEnnszawTFQuW/C+vbL7klOv2WzWvheKr7Tmq8Ujnj5e632mTtnzI5tWNEcph4eH7Ys3IYC84JBrrygZxugU2eRgY3a/TURWeEdMOIdc03QGYQfHT8bNPXMpIn8u12q5bqickefcv5NB5ZX6HJFHxF5JgvaJgB2pZkfoPbrMD3PqjM2ERH32uVPNXEZi/r3bBX3JjsWfoU3rpV9egObbdF0G8zpIXkPJgUDOSvgfL8oIOSvyZ+AER9cuR/HyI9iU2NCDXFYy0WOTf0jSHY/H7UseR6NRS7mIrEaj0ZPwH+H7LE7vAPDqZ45ovOhhWJGzB3Stiz6TZnnzO8oJ6Z6enrYiPl48Yp88h9Jg17AzwXE9smDrEcbpGmBO/bgm16VR9Pz0EYpL3zabTZyenrbtbsyVo11SNsbrup0zDxMlK/FDxGQiRXbOVoaiextj1oUsa+bMi1XMTY6y+d1zgYN03dYkYNI8PT1tOsGTWBGP37ab67YQpMmDtQHrD3pg0vGKPXpgWUTEnrzR/6H69ZBD4PrT09O9vdeec+YRO3XJgPZNfC4hed8ucDnIO42G5tRnXkDidszeUeEF8sPDx33qLCD3QteFNJSJHQhEDABSzdGdF6ryliQmhLovn3Hq5OgOxfJWHeprjrRJx1Bor4i64J+P/yP9NKFT5/SKb65zOVp1KYDx4MG5b95u5poX7dkB2LNTM8dQGCPjJqVmf7FP1RqKRHLtNOLp1i9nFyYBZw75c5aTZU+bRHvIIae9rnn7/85qHGXlshU/GZ/bzKkwJbHj4+MnpEt2Bok6kvRinp28o+PnIuPsQGmHdRD0wo7OjoX3+du1aGegJlTIzRGo+8J7vjcO2mTrs7CzfVKrdl0dGXisQ/bnMXrtgbIOQPe868e68jXR9cAbTziC9Wqq98qSNnkPqgnC22dcF+YniusTrFwjhVi8QEU7TuOo1aJsTsswnqw4kLojopxyg1yXi9j/skzXGx2pHRwctKiDz5sATU6OjrKi0yeuNxH7cVLvcnD6aifmyM/9zvLxmCE+p6RuYygKNVkOZRHPGY6zB651v7iGe/h/Hr9JzHK1vHzsJfeAuPOcAkf9z5UjPEf54Cb6ljOsoZKPr8/1e9sI/bG+2wZ2u10jWnYcIWdHxB4vbSFH6ye8EPEYlPk724aCouyo+Fx+fJ2tZ5QGbZc90fXAG/YAOirzHlBW1BeLxd6BNAjKJBfx+OWPTK4jzTw5EY91TSYGsshbUTyhPk7QkRltZy9N216Qitj/Pq+hMoK3tmRi53eQSRPjcJ04RxsmsewYUEaixiESyxFixP4B6nkFHkMdqsO6DEE0lVNHwP9d/894KTrxZ5wZ5fqgyZDyDeNhnPTH0e6QnDxOz4P3sOZFLpOlx249yp9x1sX4rHseq/XguVKW+0w7zI3n1s6Usgi6a33I+k2t1eUCZGYbNXn6ARWXVSIegys7Ku848dOUyJ7xu395S+jXjna7H2JuhWAynUbc3d21lAzhu+6Tic5eHbIxAdgjD0UQTpOAPWiOcHOkErFPPhGxVyLhWsbjGqyfMnL6CInyGUeCOW1kXDaWiKcPI5gULG8rK/fO5ybYePk8fch1XBMt47WcuBd9JGVkjDhNyxr5+qfH5Ggs6wX9NAmZiJmPTPb0LUfAduaeg+zEibRwKgQIeVtdjubtqDPpWoZ25rYx5tb7q5GDI80cGdoJOeqlfcvMNugomEjX5T+i1lyn9VzaMSOToZqug4IhG0T2fhLUu2rIrNw2c9Uz4u0e6XrwQwq3Xn95Ft0ezOnHS3AUZHLkb6dSrpU9Z8iumZkEclTjCHO32+3VnXEaROr8znveUM612+3jaioRhQkv1x35PUdD/HRU5CjZCkfNjf57S5ONJEf1JtwcBdko8rwgb/ruNnMZwvpBhOS5ytGy28wvy21oLr2VyNFQ1hOPn744eyPaQmbOLLxrBUK2Prqf+X/uP/fP6wHPPQDjnSI+a5cI1BkBESZyytlMfrn8MJ1O2xOT7q/tbSgCR99zxpCzmyEuoP/r9ZdTw3jyznaYeYG+UD/uhd/kmyMinn59dk4PeEorIlp91x6ZNvhpb5lfuQboFU2fgG8Pnhd5HF0MkR2k+fDwsNcuYx5aeac/rm2zkpprcERYub5ncnV/PHbq0/mwcJTeDz9ExBM5e6yZvByhcy9vrzMxcq13Sgxdl0nVYC5tpMgx9zM7Ht/PRphrzugqOpd3ZrhckgkBWCf424tT3kmA4fvhlyxrj4Xfc/nCT105W3H0aGeeZWfS9lZEso+sE3b0ObN0oGSd9a6DIXu27lqHc9BjOUO42+22nU3CrhuXMWyDHvtzZauvha4LacCpp+tnJl0vMJCCRuyfV4AgbQwmtqFJykrudM81VIjK9WPI8+Dg8TFdt+m0nUl3emUSzxE34yKqsOFxLX3x+HNkkGWDgntLW8TTp5VsOFZS5shH5eWSjPuB/HNZweUHdMDRsGt/Q9GsST3PZzZ+f85ZCvdxFGs9MZnmVNZRLQ4qR/c5KxqKiLnO+7LJ7jwOf87zaWdi/XFZKDt97usx5VTb+5a5nvu4rmu5u/zEe+gbD5RwnfVrPB4/echpyF6zfjgoog9sQUOnl8vlXlnBEbznaCgL64VupGvDQYCQgg0GMnCdDg9NmpaNBeXP9/N7JhRHuj6Ym+v9lBln7toYhjyyI96s+BHRDmtnTE4nXYuLGH4MOSL29mI6Asppbo4McCDUyiOeHhztVNVteI+y08FcP6YtExF9yMbFe95XmeuPyCficbubSySeS5OPd7I44vaDNjjdHEl6ccjzwGccudIe9yKLsFEPzU3eecBckHH4fibfHL27nGBnn3fjIA+yJzsd5oZrfZiU7ZUT0vyyTGzP2CF7uLk294X6r3XWhDqU4WTHaGcDAefdCjnSzSU262kvdCVd76Pb7XYtFXXazkRmw3XdLEdCvkdOE/1/pxTeteAUB4XgCTNqrPbMOfrIBka73ktL2cDRBG3kaJxr8vukppn8bJiMlcVHH/qDwdNuTqHtvHK0SHQyZESQpiMKkxIy56fHlFM9k4qzHxwn7VsnfJ0jU899zjLcLzt4Z0luyxGliSETu/vv1B99t1Mn64C0+N0r9ibsrN+utefzMjw/Q3qUx2SHR3khL7BlgsqBiHfabLfbvTMraId75QU+k6ntI//fukHwhIy8UJnruS57uJ/0u2fU2/XhCNcUI75MQH5ax0rBpEIIEEWOArIBZxKLeLp3NP8d8Xgug58/Pzw83Ku5utaaI5tcDvC9Xbt2fzFWDNztg5w+Rzx1HEN1s4hoeyiz8ZhsHMU5isilnGwU2fHZMCFqO0u37VJFnqehn76nyTCnvS993iThe9tROUNwGcH35/esW9yDoMGZi+c9Z3lc4wyMRTgTE3L1uBy95myCa11rH1oU9hisX7YvL2qbpIaieAibclZeu3nOFi3XnDFZ7kNlOZcxhoIQCDc/UEKf/9CkS8qB0rGAxe94paE0KuLp1rOIx4jTaZs9bE69neJ5/18+ANlAqagL+V5+8ivXC1GqvLEcpfAz8ZDUUDqU5eEIxQdtRzymu0OnWJmQ87Yh19aJ7v0AxlBqxv/zU0s83hoRTyIuE7EjWNcFHcVmw8xETbuUQGxotOuoEwfgXSVZb6w/lrHvZ/JknGQDedsbddxc03WggW77hDLPqRcgka3JjGucedjBW1+xQxx91tvs5O0kcjvOUCwfR/W0k22Uuc0ZCvrkPrn05C1tft+k7awlP+zDvblP7v/XRNfyQi4XmLycEkQ8KhPGjxFQu3IUxsTy2CUelgmBTBzN8cy2a1sRX1Kr29vb5q2JxCMeH9M8OzuL8/PzdpQcKTqe19/xhrPJxpYjRJ+nwPidTg45IaeRlgfX0a5PYTo5OWljOzg4aMbN6VH0G5LxtjEvGEU8lgN4iMRnUOSDWEwkTpsdmQBHRshnKBryvAwt9nB9Lp94oQ+jMynymRyJUWLBETiKc9SFvmLcGLrPfeU4QWTBYU44glw3d8aRZULfcLZ5EQ4bwU58toO3WlEWwE4gag5xQmauA+92u/YoP3q0Xq/bgefUiemfv0mDOWOtA/IdjUZ7T6SOx+N2eDoOgs/QNnPmzIAx53HbGf5cLflr4KuT7pAH9KpkxBeFIqW6u7vbS5sj9hdVXLuiTjqbzeLi4iJevXoVp6en7XQklJbN0XwWYyPSZbL8pYzz+bydHgaRcKLY69ev4/Xr13FxcbH3hB17BG9vb9t3mHnrmQ0xYv+YPtfPbOi5/uYUygsp2cNzQM7p6WlcXl7Gmzdv4vXr13FyctKMy8QIweYvoXTkCME6zbXD8wEv+fR+oum8a2S5XD5J9R1Ruy6ciShi/9FZgHyQmaO10Wi0F4078nEkjcP1Y70EBzjHXCfmYQgcLfIfj8dxfn4el5eX8fbt23j16lU7+Gm73TYCZCEon2DmsgrOgPE5GzKZ+DPoFPpnHXSpCd13BDkej+P4+LjNfQ6cmDP2xi4Wi7i9vY3b29u2V3a73e6RLuckRDwu6Hos7Bo6OPjyqPvNzU3TA+slY/SOHJceIWzrpTnHJa+e+OqkS8SFUrL1yF4oIlqq5e1WXhUlOnT6FREt0jw/P493797FxcVFHB4exv39fdzc3LRHAVGmXJ6AbFAQR28nJyfNUN6/fx+vXr2Ki4uLRrqnp6ftAB9O5r+6uooPHz60HREo7PHxcUQ8Kr+JLKeDjvToJ6mmSwr58B+XT4jI3759G3/605/i/fv3cX5+3tJ+SJe+sN3m+vo6FotF+y4tHIejE9cGkRNRLtGEX655Q+zX19dxdXW1d7ZsTvl9EI9JO8vKpMn82oFyPX2ZzWZxeXkZFxcX7csj+Sz6gFP3eR9EXPmwIe5DlDcajdp8kw1dXl7Gu3fv4s2bN3vfiE267kdpcUbWWdd+Dc9HdoguEdgZEwiYlPP8o7uMISL2HJCzGDK7jx8/xsePH+Pq6qrJCSeEPtru+K62xWLR2iXAOT8/j9ls1vR0t9u1gIz+WcfQYS/sQfCz2awFYxGx97QlvGT5fm0i7rpP14TibVmj0WgvNUOoOYKL2F/MwOCI5t69exevXr1qnne73cZ8Pm/KnBebqLPmFfSIaBHx3d1dXFxcxGg0aiT8+vXruLy8bNHK4eFh3N7eRsTjSU0cEE7UnWuHjiR8MlNeIcagIQUU1gsMliuK68jqzZs3rb8mGJdgeAT78+fP7X+kjxiY5UXpwqdqcYA0BDVUQ9tsNjGfz5uT9WOaHr8P1WacPqmKyIi0nbocmQ2yY84t//Pz8xb5E4m6dusHC9brdWsfA18sFi0Fdwbl+zlNtqO+uLhocsKZWDbMgwMAZxw5C0DOlHRMiC7foPOu+1rXXdLAVg4PD1tww1yT2fmshPl83iJ1gg/kgR57Mcs7W3AKzK3t7OTkJHa7Xdtu6ZJFzgA83xA9enR6ehrn5+fNsSF3ZNo72j3InjPhV3tMgy0kQ7W6iOHHNl/s2MCKcN5ekmtbQ22+dM/cft4dkfvuyMLOYqg26/Ts55AXmoZW0If6jUzyvYfG71Vwp265TX5/6f/5ff/0giP3HZJ7bvu5cQ/d030fajsvBOa++TNDMn/u/SF5eQ7+1Xl4yQ6ek/kvJRDrn+89pLtZ7/0Z670//5ItDfXR5Oy54V5ZJr8kIs33HArcIr7oIhnzr4hnO9eNdAuFQuHfCM+S7m/yGPDP4ZdGgOD/Jz342vfoURv62silncLP499ZZn8Eu+2BinQLhULh18ezbP/bnPhQKBQK/6Yo0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOKNItFAqFjijSLRQKhY4o0i0UCoWOGP/M+wddelEoFAr/JqhIt1AoFDqiSLdQKBQ6oki3UCgUOqJIt1AoFDqiSLdQKBQ6oki3UCgUOuL/AmNnvUHxlin1AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 27; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 28; current eta: 0.5, current beta: 16\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 29; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 30; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 31; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 32; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 33; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 34; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 35; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 36; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 37; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 38; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 39; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 40; current eta: 0.5, current beta: 32\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 41; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 42; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 43; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 44; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 45; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 46; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 47; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 48; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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1ej0bV+bU84TPcLn+ZDLRYDAw/pFkNvHs2TOTBD90YS21SLff7+v169cqFAq6ubmx1MCngd7rTafTOYEdY+W/8Wr+31noVDrfVcD4PiDiQr/FQPlvb9SQAs9GBIs2DfxzSvfFhGw2axECKffFxYUmk4mljnj9Xq+n29tbS8k7nY42NjYsKuSzg8HAogBJpsNms1lNp1OLJCFESKVYLKper2tzc9PkIOQPjL3b7ZrjJPr0ZI3WSpbhNTVfsMPIIcJSqaTl5WUrVCWr0Mw/1+DZfFS6tLRk44z+zDN7542tefvCpvwcEdmSBZRKJWUyGcuy7u7uVCqVVKlUVK/XtbW1ZdmHf25P7ESivviHTQ+HQ52fnyufz6vX61n0fnFxocPDQ52enqrf7yuXy5mk4msmZGKVSmVOz/WOyuvifozJwrrdrq6urnR9fa3RaGRrLJ/PzxW/GD+i82KxaFnajwXOGdtkfTGGvvDs7x1H67stvO1JMuIlQBoMBhqPx/rss89+9P3+UKRKugcHB6rX65ZSsmh89PB92jj4fSaf/5feDj7/7vFDdFx+H81QkkkIeEYfIfk2nUwmo8lkon6/b8WOpL7ptcJSqWTkMJlMlMvlTP9GK0bsZ4ETVV1fX9si7na7tviur6+tqMh3QACk0ESHLD4fERWLRVWrVSPdTCZjKTqRRrvdnstUvENi/HAoiwpIPL/XGovF4pyWBwFgK/66jLuP0igwMVak5pCW1875jC/e4KCww2SrIoTYbrctq6CbAtLd2NjQxsaGarWaOVxInLkaDocaDodGZkhipVLJ/v3q6kqz2UzX19fmbC8uLiyrQN/n56yp29tbraysqFgsWuDCePC8Xv9clGHiFNCCfccDvwPh4TzQVn30/EPXG2A9+XUFeB6c/EPk7ucTZ+wzLRwxNQyK4WkgNXlhNBrp7OxMkiyqQ9RfWVmx6vft7a0RKUTh0zYW0fLyslZWVrSysmLE6DsWkv2LvqqZvL+H4CvnVLqXl5dNz6JqWi6XtbW1ZQWder1uEsh4PJ5bwD7C4xk9MLDxeGxRLKkz0a4vfHU6HZNviHDQPkkliRiQEyBuH3Giu7IQuTfmgNasm5sb+3s4HM6lsTwfY45jTFbhPZlxX9wncgxZEEQPsfsFyHjhsK6vrzWdTi3lxoH4yn1SOvCk6+fC253v0abboN1umwOD3CFPH+ESdfnOFO9IuC9PBl63LJfLyufz39EyGQ8cME6F50FmYPx9kYjvSkaB3sllMhnV63U9evRIk8nEpDXukfXWbrd1fHys8/Nzq8G8L7t86Ode5mL9MufMu+cEH81yXe+IcaAEHisrK6b7+0L22dmZ3fsflbxA2ouWiCGvrKzYA/u0ZFHaJ92n/LVazVpViDp88cRHNP56kuYIUHo38WLsp6enevXqlfL5vGmiXGt9fd3+PZfLqVarWQWZSNFHF74NyUeBXsLgd1m03vg8IRAVXV9fGyEwDtlsVtVq1YqBPhrHQVEYIxqW3i5YCIIIn8i21+tpMBgYOTCPkKyPSP1mEe7Zp/SQOn98IcR/BxkFUYsnEBaaL7YReSKf8Mx+fH1rk289wzYhf37um/NxQOioaItLS0uq1+sWrdIrzpj66DY5RrPZTL1eTxcXFzaXvhuBLMWTKffsC5I4Bm9b3un7Yht98Z7sWD+lUkk7OzuqVCrmlAkmiNR7vZ6ti5OTE2sdfF8gkwxCkiAYwLH47Id7YW3CDb5rhlqM1+TL5bIajYZWVlbMfnBUfo9AGkiVdGl1QftBk5Le9gCir/DH96z6vkzal3Z3d61lrNfrWTeE19D4k9QEuZbvDU7CRzUnJydzae/GxoYV1dbW1lSv182AWPREnaR50n2xylfH+ZnXoog0kR/K5bKROQvfL26cTr/ftyixUChodXXVFg5RD06KaIvoi8Xto1p6cSnsQehe4/M6oc8weLZF7Wk+/fMFLaIP5BlPDGQ4yaKJJz7G3xdSGLOkhMV9sFD9H/8MfneX1w3pvMGRkOWQDRQKBbsPH7EjpxCN46yQlK6urkybpTcW2yMjIJqnyOR1Vh85EzXi6LAv1pjfZYkTQe9nYxLjz/VHo5H6/b4uLi705s0bffvttzo9PTW56X2ygifc5LpMBlkEZrRnSprTY5PFctrtyDj4wzhSTMbB9Pt9dbvdP07SpcmZXk5SX3aKrK+v26Jjt1ey+ktrTLVa1dbWlvb29tRoNHR3d2c7w9C4pMVbWcEiD+uBwUK6EGC5XDaDz+VyWllZsZ5iTz6eXKX5whKRLgsOIvT9paRE0+lU+Xxe9Xpdq6urluJRsPM7poj0kA4wPDZaVCoVVSoVW4DcB4TMwk2S0SJS9YTqF+1DGYav3i+Kwnh+nwkkv4uuBgpYRLe9Xm/OueLkPBH750qSLim+txuAc170jHyXX/CenLAhyMzPC4QKARYKBeuE6HQ6liFRyK1Wq1pZWbGNG0RtmUxG/X5fV1dX6nQ6FqUS8aIj+/tgXP322kUyXq1WM2fD3OMU6ZU9OjrS0dGR7QJDcnoX8foMM/l7/t+Yc+oLjUZD2WzWNqgQDKCX+/GvVquWCfvx8Osa5864pYVUSRdiwHCXl5e1vLysWq1mhYfpdKrz83MzJq85SW8XAUZHwYIFyuB63fOhiV3030kQFWHU6EK0JUHEkow4vZ5MNOGdhy/o5PN5I0JSJk+49GoWi0Wtr69rY2PDolY2aHS73bl2Koop0r1O2Wg0tLm5qbW1NdVqNVtwjKekOe1Xmm829+1dd3d3lk14vRCS8ZGfj2iIyPl/oj1kAEiUcfOdKkQvtVrNttj6DRqtVsvSXn9t0lJ/fa7pux+4D79pJEmkPB8ZAk6T2sLGxob29va0v7+vR48eWfuUdO/cIJtSqaRqtWrzm8lkjFTQv70sQSGQ1kjaGOv1unK5nHq9nt03xVsCAewYG6HdykfczLvX4JlXn4Vgw2wuoKWMLhau+67s8V1rL1nUww4ZL2op+XxenU7HMjP/eXT1jY0NPX36VJubmyb9dbtddbtdywj5Q0tiWkj17AUiMh/FkCqx2ymTyahSqVgTc7vdNoNPkqjX6fBgvor7vmj2feCa4/FYNzc3tqkDwqUQyOKB7P09+WiDCSYlwmj8Hn3ajhqNxlznAmRfqVTM+LkPDNEXtGjo39nZ0dOnT7W7u2vbUiFMFh33ggZKBM/3kdKz8CAQ9qwnU36+HyeEwUv3JI4Es7Kyomq1ar3PNzc3tvCJDIlc6Jf2pEulHl0bR8m1a7WaVlZWrLDpI57JZGK7l/hdOg48eXgpA0mB+2Jb7Mcff6xPPvlE+/v7Wl9fnxszolac0/LysrV6ke2MRiM9efJER0dHFrkzTr5bh80gpMqMO1ITttJoNKz4hSSGw6RNzY8Tkh82zNrCliHufr+vy8tLnZyc6Pj42DY50SL5vijXr62HwHf5TMw7ct+xkuSDfD6vlZUVbW9v69mzZ9ra2tJsNrNuHlocu92uer2eOaI/WtLFw/jKLeny0tKStd9Mp1NLDYrFomm9GDA7pmq1mqWQV1dXurq6Mt3YV+eT8MUqT+iL4IkTD+97Mjc2NuY04mQ6zb9Lsnvi+SFMOjh4dl80QbcjakGi4PoQFKkqaWKxWNT29raePHliMgzFMq+dEVXRrkWEBBHz/TTm+/snlatUKnZwiK84o5nT60nm4smjVqup0WhoeXlZd3d39p1LS0sWGbMldmtra+7gnul0aul2uVy2Lat8hmuzM5C+ZS/jMD9kXBRmk1IKmRrP7k9Eq1Qq2t7etiiXseBz2BHfhezjJY1Go6H9/X09e/bMDhiiGIpjw16wAy/lYEeVSkWrq6va3d3V9va2RYesE86u4No4Wb8D0Ee5fk5xoO12W81mU6enp7apI7kZYRG+z7rjGpBhp9NRu91WrVaz8bq6utLZ2ZnJML6+gBzBOSn1et02ovDcBH/c96JdsR8SqbSM8Tc6ChNJqsQhMRhCMu3x1VVOKCNC297etom4uLiYa9ZPRiq+eJOMRhdtG/SfJdLxu8WIlLyhcn10Qv5I97tfvM6IXodOOZvdnz3Af3O6E2ktOjPRBYvHV/aXl5etZxQSkOaLFxCgpLlNJUgLaIrsUSdCYOcU1yP9Q2rh2hSQktKDpO9EmPRe0gHCvRF1r6+v69GjR9ra2rKdatPp1LYAQ4RkJ77HEyLnM71eb46IksUwMhC/EH1Bl8o9v88BN95mGUOvnfpx52feFpAp1tfXrTAq3Xd5EK1fX1/PZSgEMNVqVZVKRTs7O3r8+LEVeym84jy9dMQzIJMkCddr4RA0Wnq327VCsY82H1pHviDpax+sL1/sI8jpdDpqtVq2tf/u7k7NZlOvXr1Ss9k0aYAoOLnbjky13+/btntf/0DfhSu+T5T+30Wqka4kI10MhQiXquLKyopV4P1EMEEI6Pxbr9dTpVIxrYqoGEPwxsDE+0NiIFyismSa4SNViJffochBCk4BxfcaS5rTePGyuVzO9uZDbEk9le9hXz+GQ1RPBMlzErGQNpJWsqGB8WbsJH0nfU0SAkdNnp6e6vT01A4q8tcipYUAvIbNd/tuBCJA7hvC5HdZGET6pL0+MoZAJdkZAywuOjd8rzHPhD34XlCi8F6vZ/OII2VM2B0m3bd/MT8nJyc6PT1Vp9MxCcd3O0C4vlvGa7x0ixBxQd7cLyk/nSM4/tXVVetO8W2Ue3t72tjYMEeOHWNj2ATFbLa/cq+02XnSxUn5+oMfQ75jUfTqg5BFrW6+iOUDHKJQCus4u5OTEzsTghY61ox39p1Ox8j77OxMFxcXVsxnvH3tIC2kRrpMhO9RZbH7KATJgDNV/efxij5akmRnn3L61EPeCgKlckyqDcFz7SRRey2JCIpuAMjGRzc+MictPTs70+vXr3V4eKhOp2OpnG8o9/JEuVzW2tra3EEspPiQn69w+yIixu9TQTYG0CeNLOH14KQ+ziExnIB1dnZmhgoRoU+iYVLQ85EFxQtIF/KBQBg3CpbJbdRcl4IaOqU/T4EIEEfE3GI76O7oeF6bplhKFMgWWjYmkMH452SMBoOBze3+/r5WV1fNGXviQjrCGSEf+TMY/DmwkiyCZ92g21ILWV1dtQNoOI0OzZsx8pGqdN/XfXx8bPNLgZFnRWLyWSZj7/Vfggxvu74zxNs1GQfnYvgzIh5q3SQD8eeUcEYzunSyaItWz5koS0tL1op3fn6uTqdjhMtYen5KA6mTrt/8wNFzhULBKtAQJ0To+zi5jtdYIRt+xzfkk3Z4aYHvxqiIchelRUkC93qkb/r3RQevf1Fdf/36tX7/+9/rq6++UrPZ1Gg0UrVaVSaT0c7OjnZ3d7WysjJnqBA7Bj6ZTKwv8vj4eO4YRNJzxgJwbCAkMR6PrUqe1Am90ZKSDQYDnZ+f6+DgwHYckY5WKhXrqOCcASK2drttvaro+P6MDd8jibPFHtDjSSX9ji5pfgs49iHdF18gUlq0bm5ulM1mbYHhDHyHBAsVzdlvZCDKowd3fX3dtMR+v2/aK+PE4UPMBcQkzZ+hTI8pZ1hwRGar1ZobZ57N95SyY4z/prsFsifK99IYRbCzszN9++23+vrrr239cEziaDTSs2fPLDtIkplvyUpmjH69LFpHPmAh02VcsPmkBOh7jymQs2UXachf20fmSHCSLFJGUqAv3ffm/lGTLp7bt6DQTtTv9+eiLwpMviHfp4csKooyGIYnRB8Ze6+GIfrexUUdD74nE2NAl/VHDeKxuT7dGkdHR/rP//xPff755zo8PLTdRuistBmxldQ3tSOpEJ1wcPPFxYVpn74STpTlN19wMpgk647g92ilShYAGbNer2eEQESKE1hfX9fTp0+1v7+ver1u33VxcWFyiG+Xk+b1cSJ3NGq/A4z5pDWO+/Tz4ftl0bKJgulS8Fo60a3feMFneXb0Xi830PO7urqqer2ux48fWxHx4uLCvoujEM/OzvTo0SPrKU06NJ9eU8tgi/nZ2ZlJGBSVaRe7vb21zT9kG8gRy8vL2trasmfyto3c1e/31Wq1dHBwYBkXDokIkNPgaIlMyjE4JrRQvx78mvIE5oMtfwDUInL2wQtrwUsrdP8s2tXnjxTwb/RgzrGBZEdE8j7TwM/yNmBPwBiHr0BSjSaFIbJl8XodhujIe07ajZJbEr1n9REz379o4D3pSvfSAanZ5eWltQglm+JJPb/99lsdHR0ZWUJyVGHPz8/tGEj0PxZ+p9OxV95AuFRi0R4hwcePH6tcLs+91YH/lmSLk8Xv5YjkGE0mE9uJx6uCmJt6vW7OYm1tzaKuZrOpo6Mjtdtt026TfdZE3Oh2pNj0yfLWBH4XEmAjAFKL1wRJ/Yn2+Dfgdzd6Z+CjSebaHwna7XZNvqDfeXV1da5lDLIaj8d2QPuTJ0+0ublp4+kzLGwc59rr9dRqtew8YgqTvJ6oWCyq1+tpNpup1WrZPUIokqzlcmNjY+41QQQKyHVnZ2cmYaCzo9tnMhnVajXt7+/ryZMncwUuxhoZxEsgyRrAojXknQDyUnJdehkDZ8XcMB+QJ2TpCZdiK2de4zQoRnqe8UGYt5O0kDrpJh/SR3XokxwoPJ1OrdjEpPoteyxcPC+TxCIhSgToucl2nYfSIoBz4BpeQ/Tpjtd1IV+0ONJlLyFIsmidVA8tksjk8PBQX375pb7++mudnZ3NpeoY6MrKih49eqSnT59aIfL8/NzSLCrMxWJRm5ub9vaDRWkgC6zdblsaenJyMnceABElY9zv93V6emo7k1jMRGpeAyW7IcPgeZF5iFboQaU7hEzAb18miqZyv7u7O6fXLjqgh7mANNETeXbuD3LAfohQeW42IBCtX19f6+TkxA6J2dzctHMvPPF6m+esBVqvJpOJtbp58uAgn+PjY8uycBpIBt98843tUvOVe+QSKvZIJovkOh+oJO+X8aQQlTzI6V198X59+egY+2GNsb58twY2jOP09SBJVgjc3t7Wxx9/rMePH1uhFTvk/pKB1c9BuFKKpOu9vW/bgtCIPlhAq6urymazWl1dNe3VLxhI2muyLHTI1VeKJc2lIWyHpZD2fScgWen38gUgPSLl9XvBeXYvC/guCklzkcmbN2/05s2bhe8P437w8lSseR4iE4g3k8lY8cVX2QFO4ubmRkdHR/r973+vr7/+Ws1mc67HlfSfdqmbmxudnp5ayx4LEmKQ7uUk/ni9HbAjEf2UFJvxSra9+YIqfZxEU5z7S2ScPE4REqBwxv3QRUGhxx+P6btriPhom4Ic8vm8nQviX7fjxwESPD8/t/NxO52OOVAKYpBuqVSyw6J8fcNHoBTzVldX54jXn0ORLHzi/AhE/LvZWJ/eNnAWRKJeOnkfqKOgO/tsFwfBXPr2S+bTdzp4GaJUKqnRaOjx48f6+OOPtb+/r3K5rLu7OyvKcg0cA+vTF+/SJODUSZf+QiaL9IY2MYyAvk9eeMeOMAzcVx6ZCE/opN5EMgx0cgsmJPJQMS35DHhijJcWGp+qM7EYEFVbXxWm9ckvEkicVhnfe5w8t5bnZMH4syGIILrdrn2ensfT01OdnJxoe3vbejjRPhlXTlU7PDw0vY+IjyIXZFatVudOOvNtYdJ9R4knOg+fwvqtzNiK325N5Zz02e+SQzKhSIWDIkKCqB/6fq7hFzg/u76+1tXVlfL5vHVWoN+iAfOsxWLRiPTJkydWrfeyDe/SY0cXrU/IKGtra9bYzzP5tkJfnJNknSbtdtvme3193Ugam11ZWbE2M3bv0WuOfXrC9fKQzzggbV+we9/a9x0MKysrkmSf9QcHYdPcg9+C7msDtMBVq1Xbgr23t6ft7W0VCgWTHf2mLOxAus96KeD+UZIuUcry8vJcSsEgkGKTCpN+5PP5ud1IRFJeJ/Ipko8yk83/PspF9/WRyLtI15M5ESybGh4qSKFZ+so7Ekq5XDbdjq2svvOABYGhYfRkBpAlz4dRZrNvdzCtrq5aiw1jSrpMyo2W6gsW/nl9uu0Le77qzw4wnIJfHCwaXxTxGrLvBuF3fBcCi50dgJAS7Vh8jy+oQa6+68E7KH7mIx7+TsoLjANZFto4OyJxMlwreXqcT+G5t2Szvm+FW1tb087OjhXiWCtev/VdN0Tqfqda0uYYawiTV+3wKnP/O97mvAzm2yzZVu3bJN9HvIwF8+13P/KmCd9NwHz4dZ0sZhNA8aqgra0ta5WjowTpkb5vf2qdb+fzG0bSwAcnXSajWCxqa2tLjUbjwXNv2fIHUUBEpJsbGxvWJI1eC+l6LQpCwhNDkj7axDg5FvGhIoB0LylAGEy8P6/AR8rcDxGSX5ykWUSlFAx9VZtrsBhrtZpWV1clae5gGCIfUkyif9IzTzA4Gc4X8FViT4acm7q7u6v9/X198803VhhjrrLZrMkKGC/RrydAxhPj9tEM6a7f0UdHBVG/l3IWbd7AvpJtfDwTkTLZk9cFcUK+O8LXAHwEDlHiWHhTgneKXKter2t/f1+7u7s21hAiv+fHmgObisWi9vb29NFHH1nPLZotURt1A85swM6JYNkSDWH54i9Zl5e1mDffTcLmFxwya8qPlW9N9IUvv+HDg3FkDMfjse3EXF5etmMv/fnJOJpFHTA+cuc8DtoWfZ2Htxn7PnHsl00gFNwo3qYR8aYW6ZZKb18nzq4lv4ddkqVxvJKkWq1Kku3JLxaLlo5DysnUlQXiFzspCN4dDY8K7qKXCnokexOT/79I/2LxMul0G/iIgTTNt9AQTWK8yBA7OzsqFAqqVqt2376QQf8ie8kxSqJXCPrm5sbOjEAj5VkwNnYI7u3t6cWLF/rqq6+sR9cvZBwLb6zw6bg0X1n20TRjinNAR+QPL6TkLAofaUIOfjchBSDIlDHmcHwcDpoui4/xY+EhVXA97zT4HkgBu+NZIP5yuazd3V19+umn1nvtC7aMCek8bxgmivcdIWx79QUsXjHjpQCi17W1NdP0feHSrw2I3p+UR2RP8fby8tLkJBwkz/mQc0t2wixaS8hHnKfNUZWQNU6cXlq/GcQX2rFV5pjT1orFohUn6S9vNpt2KDxkL92/UogAg8g7LaRGulR+/S4ZH+WyM4fXeudyOQ2HQ+teYGsn5IkOyUKxB3JN894wG42GCfjdbtcMgKh5UcuYJw5fgKAqn9TYkpEuROC3OlcqFa2trWl3d1ebm5sWTWDk6LmcqcBp/Rxl2Wq17Cg9jIitkkTU0v2ReI1Gw1L86+tr5fN523K9qJKLQVerVUt1X716ZVo6EThFJwgPIuMafncT0ZekOanCOyHODWAxQoQsvsvLy7mIx1fYiYL9lmZa25g/zkogavWEwe9jS5ArjgSdGFv1xRzkKaLWR48e6dGjRws7F3yrEkWzra0tTadTOyOag4kgajR2ggNJZtcc2Yn+C3kjI1E8ZRxns5mWl5e1vr5uBH55eWm9wTgen/0xn34tYPfMb6VSsXrMIu3cF+D8BhgKk4wfz+tJ18+5B8Vc6iF03PD36empDg4OrMWSIA/OgCPI+nw28qGR6uYIFn+ywR2wbfXw8FDSWzJZW1szA769vbXo1XcO+Eo2k53sxaQAA7n5s24XeWaMFSmAV09z9q/Xtnyk6NtjWFikPxg8/ZQsFNquuG/0Pno2WWBcA1L33Q5o4qS9GHE+//aou9vbW9vPjxODKH20m+wK8If5EOFBJkRHXsaQ7vVzL78AokZIM6lZs6Bns/v3pHHWABmOTxPRx5kTOh54TiJGCMsXZnwR0ZMvi537pR+cz3iZyF+HZ/aFSW+jEL53xsgIRJ++QwOyZ24JLnK5nL0Ec39/X5ubm+ZIiTQ5YxdJQnpLNpVKRY8fPzYHwWaWwWBgOw29POElO1+IZryZo6QMsKgl0WvmRLAQnyRzjF5W8OTv5TfmHlnIt+61Wi01m00dHh5aT7EP8Lxz4J58J8OHRqqv6+l0OqpWqzYhPlVlMbL/HoPp9/tW4ZfmC1o+WvapIJPliw1EWlTdMfxFg53sgCDl5ZxbUrl6vb6QdLmfpaUlNRoNSfcN7P6wau6H5/QN/BgKRIBkMJm8fdccWiFkh6RBGu2LbKRRpVLJijxok3R3+AO80d5YUN7o/d/JzSrSfaHHb3AhKvbN6b5VyC8AikD0BRPF0x/qj+1Er+dMXopEjBf35p08hEvk5f8NkqbliPvGqRA0AJwV8ETptxHzM86aQAaikOQ3uXDP2Gmy/iHdv1GBDG51dXVOtiNT6vf7JkVwfWx5Z2fHJLDz83PbuEOPq7djvybYuOG3Q/uMJ7ndO0m8XsKBWLE91rRfv8m17ccA++a76XC6uLjQxcWFLi8vF24Z9tko9rUomv5QSJ10iVilxRslSK+73e6cJokGKN2/utt/3hODn3QfUfueTUggaVwgqUlCImhoq6urdvi2/06v/2FQvLVhZ2dHGxsb9kaB8XhshynT90lBDC2SFjCiFa/nsYfddx/4qIOxQt5gTCAd+oEnk4nJJr5XNbnY/XgnF5XvpvAFMQjedz0wdzwDTotIxRddWFC0FPriqZeFmNtOp2OVceaG7ySapeDie2d9xwFykq+C48B97/EiG0Z/5o8v9LKFl00QtHQlswy+z5+W54uei1oR2S7sd90RDVYqFTUaDa2vr88dpSm9PWSITRWtVstqHhAoc8izIvGtrq7aQfuczsaYs7aSa9tH/H7TkO/K8XPq1xS2DHwXDATOW0TQpVmDi9Y2886h7l6i/NBI9WjHfr9vqS7pYXIhe3Kkg4HDWSAW30XwEPykSfMRMAviXV0LPtr1C8NHJZAUHphoptvtqtVq6eLiwnaakZZROfaSBi/5azabpjdTMFlfX5/bQeejSHRPUnifmiartBT8JH3H+RCR+W3XXpbxp3r58UxWx31zPffM700mE4uUIAm0XApOLAJf4PSkzzzw/b5AhVP3bUmk7BAcz0Oxxjsm3yKGg8NhJe2F30PX5TN0pPiIFZLxmje72fyceekhWe9gbCkqo2f6VkUkEGwPDdp3SNCbDmFz/6PRyGoLNzc3arVac2cYeDnPP6s/acwX1B5qIUsGJZCuJ8bkul2EZOshjg5ZjkwxGSn7OfPZITta00Jqh5gz2D5qSGqpPhKjbw/t1Rdg/CD6roEkvBbF4vDtP35bYfJznkjw9j664n6TkTQbC968eaODgwMNBgM1Go3vHLCCUVK55RwGNkKgB0OGkDyRC680Go1GFlVK3305pN8V57VYIi/fBYKcATmura1pe3vbUknmxXdYQM58xu+y82m517gpcq2trVkhBD3fHzJNpELExvWJqHGi/hxlnoEWIJ690WiYvksrX6fTmZNQOF/Ct7LRh+x3RPEsyY0H6+vr2t7enjv/ANvnMxCzJ0zGCTLgObytQZTSfc+tP9uW57q4uND5+bmdR1IqlTQcDlUoFOzlr97GsWuyBLpgINdcLjfXEeELZT4qZRxKpdLc+SLJgpp3+GQt3EuyC2gR/M99gc5Hzn6uFkkc/l747KK6zodCqmcvLNJg/c+83gIxQLq+AOFTzIcGyzd1Q1oYB+nNQ1EuBkTjNQUsJog00ReiJFmV/eTkRAcHBzo9PTWj8ue4+giIZ4QAIRvpLYFSRGObK1EO2319QYpDnskQ0FN9vytjzD37ReQjAbQ73tZwcXEx15vq23go3EHAkG5SwoGY2Sa7s7NjB2hfXV1pOp2q1Wp9J+qDvDhj2B9i3m63NZvN5rpQvF4L0UOGmUxGnU5Hx8fHyufzuri4sOchQkOX9rID0bpPfSVZFlGr1bS9vW0bG5JZg48Q/bvoPDHxnHQQELl55+NP0/JdPHT/eOKUZBIBcoGfO0+CfLbVaqnT6SiTuT8/GHvgeyBN7CGbzVoBDnLG2S4KrFjbPhujg2HRjjuPpESBgyJihiuSXRReTvI1hIc44EMitc0RyZSAf/MP7T2oNxC8GD2p/p1pi6LUZIsL6Tg6qdfPFg14Pv/2Ne+PHz/W/v6+dRhwfa/b4dVns5mdJdtqtWzLsi8W+aiY78fD+/5H4GULxgs9j0UL4bTb7bnDfFjktEIlUyyeEyImavTtb2jB9XrddoFxX57cMpmMRRiz2fyrvbn/6XRq/14ul22XYb1et+drt9tzjgGbgAiprtNbCZHQCsfn/N++n3NjY8OIy4+ZbzOEGGmzkmSL2xcCPTHQo0v3hL8X7Pf29ta+y/e1Ju0e8mRLr3/b7nA4nCvw+k01nkR8Ucg7XO9ofSHTEzHPSkGKqB2bSBKuJJOgcrm3R1xy0puvLQC/7rx+ns1m7WhXbMrbqv8844RTYj6TnJF0kNh/koPeJ1X+1Egt0s3l7s9iTRJdMsX3BuTlBkkWzRE1Aq/v+UUKCVE8wVi95JCclKWlJa2trenZs2f66KOPTNejrSvZOcFiJGLwW5l9Kpjcq45T4E23/l1bs9nbtx1Q5CAK4FmJJtCv/AEv3tCI9CES/5w8P9fJZrNWxeffiCA9QfA3C4BrYPD0AqM/co+MLX8gYdJgdMJkAz6/z1wyd/yMghytYn7+/XZT0nm/scXfC50LROrs3ffP5qUl/zcEhp1gYwQMd3d3dsjSoloGn/UbhA4PD/XmzRs79pEuE4qiPirnTINGo2HdMJnM2+MaNzY2rPXSR9i+I8GfI+K30LLWfOTutWYCGsYNx81OMN/B4e0Ox8HcYBusWd/jnJQciM59vSS5I3KRluvHC9tgzn2w86GRGukuLS1pfX3dzgSgHcYfLpwkY4ycYg/GxCLG8Dzh+mjFdxZADkRalUplblEBbxREeuVy2QxvNptZROPPS2DR0E9K6k+PL6/DxqAgV7RA37cJ+fr2HN5Sy+L3koQ/BIg0mWcgFUU75Rml+ZYnsgfIbjQaqdVq6fj4eO7kMH7/ociA71xbW7MUnRQZp+c3APjCFJEsu8lwbmzWINr2jpKFz8FIzDlE4rVTSab5oitPJhN7iwefgSyJaD3ReDthPIj0O52OTk5OtLy8bMSLffkeWB/J4bzo2iHCPT4+1uHhoU5OTqz1CWL3mZ7X1CGVer1uTo65QJv3r2vyxVJ60DmVjg4izhTm3pNtlKxBAir/IoJFQQ2Bhn8dko9+0e+LxaJlX8lMDVtnF5uP0r1j9PPE2ofokXiI4lkbaSA10l1eXtb+/r55YtIDejB9tVq67zag51R6O4AMNCQNcUCSTBgtLNPp1PRCoq5sNjvnmf2kkq6fnJzot7/9rabTqfb29qzzgI6C7e1t03olWevJ4eGhvvnmG52fnxuBo836jQbSfHReLL595xW7Z6T5DQNUmSEwf0CQf8fb0tKS2u226vW6EZ1P9/13esKCvNm2zIHch4eHc280wKGxq8sXlbheo9HQ3t6eES9zSQrvC265XM4IHSmA3mY2NJAtMAdehiHqY079Z/z5soDzEYrFou3MgrwgCtLr6XSqi4sLi758xw3kwVz2ej0dHBzYYea7u7taW1uzXXaNRsN6iH2qn9Tc7+7ujPD8SxT9SVjMve86oRd7c3Nzbh1BcGxooJvDZz3Y5d3dnR0pyjoolUra2NgwHR1SZ90UCgULovz5zycnJ2Z/gDGmmMh6lu6PM6V/GV3c9/96uYACKg5yNrs/5ByHiYTiu1n8gT/MH7aYFlLTdMvlsp4/f24Livaqdrut4+NjHR8f6/Lycm47IWCQJX2n4s4ksk2WgpNv8D86OrKUgqgEjz0YDOaKW7PZ222fRBenp6f65JNP9Mtf/lLPnz+3Q8C3trbsbauk9ScnJ/r888/1u9/9Tt1u12QJFgKLC83V943y5oNFfbG0A7XbbU2nU3vho3/DrnR/0hjXKJVKtvMtuYlDum+ybzQaNsYXFxd69eqVXr58qYODg7kXYEqyTgnSOaQHZBIOlH727Jn29vbmDtjx8+l1OTRZ2uqm06mdC0Dkk3ynGxEP6S27o/ymEqIxtE+/jTwp9Xib7Ha7Ojo6sj38jAFRr5cncDyQZLPZ1MHBgZ48eaIXL17oxYsX2t/ft1OwfO+wnwcibzRU36/LH0mmfUK8BBO8ly0pAyXrAD4Kxd6z2bfbc09PT/X69WsdHx9rMpno9PRU0+lU29vb2tvb+440hB56eHioo6MjffHFF/rqq6+sZS0ZoTJuzMdoNFKz2bQ15zXi9fV1W1v+iFKkGrRvPpvkBr97j06c3d1d7e7uGqEzVu1229rp0tB2Uz3wZm9vT6urqxaV3t7eWjN7v983UvEnHyHc0xqD1IAXg1j+/M//XH/yJ3+i9fV1jUYjexkkB1746jmk7FtLPCAgvCmp3d7enpG7T5Eh8i+//FKff/65RTyZTMYOmfnlL3+pFy9eWGSOEXpDXJTGQk7ZbNZkC4p1bKZAPyZSkmTbRLe3t63lZxEgtdXVVU2nUx0dHVmUf3x8bK87QfsiWiOdI8qgIFKtVq07ge2mnuB89drPOdFkpVKx+5fuNWmv5yZTc1/J9k7Iby7h/nBCVP59CsxYdzodzWYznZ+fW5fAYDAwsod46NDwDlCSHftYq9X0p3/6p9Y5gXaZBHNXrVa1vb2tk5MTIwG/Ow0ZIpvN2mYaCsz+HIKkPgk5Ym+emMnETk9P9dvf/lYvX77U5eWlZrOZLi4uNJlM9OzZM/3qV7+aI24cUL/f11dffaUvvvhCn3/+uS4uLhZ2FHHvfl3x375uUK1Wtb+/r1/84hf2ksxWq6X/+q//0n/8x3/o5OTE+IFOBbIwuon8NnOcXKPR0EcffaRPPvnEzuQgev6ji3RBoVDQ1taWeWRItNFoaDgc2oHOVGh9xR7tjwVCKpTLvT0wY39/X5999pl+85vfqFqt2pGD6GLoX1wH4ye6YiEkUyEwHo+tNYk0zb8skcj88vJS3W53rs2J96RdXV3ZPfsuDhbDQ210aLRsQcXYfOrE9dCqOOoPCYT7fAhEquh6pGpEEIAqPRqoLxLlcjnTrtmaivad7L9EBuG5kUvK5bJFbhTkkDP4/Yfgu1xwpDhZ+mKRKJIFJUDhT3qbwnPeRa1WswXKOFO0u76+Nsfk7YWGe85M9ju7HgKaPlExPc1kY35DCATmg4l3HSzuC3g+g8rl3p5hTJ/4YDCYI2WOe2RscN6ZTMbG8u7uzs448FLOovVElIt8QWDFmmGNPX/+XH/2Z3+mlZUVdbtdlUolnZ+f21uwPR/wLL53WrqP8peXl7W2tqbHjx/r6dOndoIhAR1ZcFrIvKdH7SdrYCO6SbaBMIDJFH/uJt9hrL545tNOX3H2njf53f7vd30HxOSjIw+6F/zec1+wItp6X/P3InA93ymRfC7uk3v1rUk/BH5jyqJ58IXLRT/3372o5WfRs/lq86K5+CEpn59TPucJ5/u0B/niVnJXU/KeHrpvX41/KMt4CL5j4qHr+8g1WZz7oSBd9ydxMX6+AJW0JZ+1+N7Yd8HPib9O8rmSfeWLimqL8JDNcs1FnSMEAT9mbb4DD05EaqQbCAQC/4PwIOn+LK9gX4T3ecj34SEP/9+97vf5ju/zfT+1QP+u5/opvuvHjlsahYi08XOOxYee5+/zXf8du/8x+FBr+Q/FNiPSDQQCgZ8eDzL8TypiBAKBQODdCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAikiSDcQCARSRJBuIBAIpIgg3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKyL/n55lU7iIQCAT+hyAi3UAgEEgRQbqBQCCQIoJ0A4FAIEUE6QYCgUCKCNINBAKBFBGkGwgEAini/wNnkZRXEWWl7AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 49; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 50; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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+8PrwLi3p22SBJT08OKzxzc1NsMR4PpPJJIwbIVa/39fe3l7wCgl3Z7PZBunh9aXTaS2Xy7DxSPbgoeZyOVWrVTWbTd3d3QUPguQcUtHNzc3GPOLlSgre1WKxCPdoN76dT0JKPLxSqaRSqaRCoRD+364PCMz+m99xP1a7n0wm4VogFe7Vhu42yWo3LJ703d1d0KKlN16o1QRLpZJqtVpIWuKpWYcBEkZGwhuHZCCMm5sbpdPpMF/T6VTtdlunp6dB+85kMioUChtrA51/tVqpVCpJUog6+HtUVoruV3RUG10UCoUNbdiOHWPJXvk+EkMU7FlyA7ZKx+q0/D3qjDG/rA0MIe/H2PV6PaVSqSDb/fVf/3W4lx+7miE2T/fu7k6np6cql8uaTqeaTqcboQF/Wm/B3rxNfkGy6JnWYrOBo+//Pjour08mk0EDG41GGgwGqtVq4TUsAL4T/RFrjLWNlhcxsSS37O+QUqgeGI1GQXdifAirhsNh8JT7/X7wvLhWCLtYLG5oVoRglsis5pjJZFQul9VoNHR3d6f1eq3hcKjJZBK8jH6/H7wzW3ViidTObTSElRTmCWOZy+XCxs1ms8Ej5DvsZzJe/JD4QffjvplDEo/REiObwImuQWA1XjRvknuFQiEYxXK5rP39fTUajSDhsHatnBKNcDKZTPDQISwShoPBQMlkUuPxWDc3N7q4uFCn0wlSGnqx1c6LxWLQNFOp1EZSjn1jidfOC9fIGoOweY+VYCSFUH80GoV7scT+ffZbdO+h7RLJMI7W0Yo6YnYu7ZxK2ngP0eJkMtmoTIkDsWq619fXGzoOoSQ/0+k0TK6tpbOTBykQSrLoJYXNMplMNhYUA73Ngr1tYTCJhNJnZ2ehfCmdTmsymUiSisWims2mdnZ2lMvlVK/XlU6ng/cX9fJsOI1swA/3jFfa6/XC7/k/6+HxuaPRKBAVVSJcG6Sdz+eD3EGEQShoE1aQEQYtlUppsVhoNBppNBqFjDYb02bE7QLnmqOJPv4OIWJ8bEka2u1kMgmyhdUkAREN1RqTySQkYLhvG5VEw31rECxRMBb8nfWI7k7FA8TL3Nj7tV4XSTOSdnw2e4DEFnpsr9dTp9MJpDqbzTQcDgNRMB5oz1wL9wrhcj2MhyUhq6dK954g0UmtVtPR0VEoVSTyYN2jtaMxQ1xvK0djnLf9LrpHrMfLNWNsotExYA7sHrPrnz2ANjyZTNRut8N+iQOxyQtsCjRYiKRQKKhSqYRBiJYK2YUrKWzwcrkc6jYJJ21dXtSK24lmcqMlZVGwCMnmo5tOJpNAZqlUaiOTm8lkVKlUlM/nN0qZmHw2oL1PS6DRWkrun3u3kob0JgNPxQTSBJ5hLpcLOpsNDaVNLx0ZAq/ekh2eTK/XU7fbDRUEeGoYSHQ4NgP3bOtUtxlPPNxcLrexGfhBX+X6kT+ing3Xw/rAY0ZCYazZXNFDBfwQUVgtnn8zh4SoeH2USeVyuTBu/DDPSAp8b7RuFt2y3W7r9vY2OCCWkDGS0r2xYZ3a+eReo4c97GEAvFqMoNWal8uldnZ2Qh3rfD5XNpsNST3WxWg00uXlpb755hu1Wi31er0Ng7YN9vrsHoxyho3AkFAwmuQWMDRWNsJJsFEqslWlUgkaOOscw8G4/knJC5AXxdosinw+r2q1qkwms7GQCYFZTFYbxJs8PDxUvV4PC4FJx9LbH7vhLcFty3La11Fe0mq1NkK5vb29ELLX63XV63VJ95aWCgo23kPZcvtdVofEmy8UCkF/tfodXhPaIGSL9aaucjqdqlwu6/DwMFybdC8xcI3WO7S11IPBQP1+PyT2SGDYJJMlW5scs5teUphHu/HwxJgz5IvRaBSMh/X0IVHmATJjzXD9NiFI4TvXyeuANUbM1baMelRbtHoiGxs930Ye1pBR74vHZetRO52Ozs/PdXl5GXTofD6vnZ2dQL4kx5AMpHudn6SQNTR2rdk9EN1TlsQYs/39fdXr9e84JXxfu93W69ev9fLlS7VarVAG+jbSZY8wjtF9afcr41StVlWtVpXP57VcLtXpdDY8VfYO44kWzJohN0Mi3EYIJNa+b33x/wSxkm632w0nSggTs9ms6vV6KIkic9rr9QIh2DKkZDIZSleOj4/VaDSUTCY3tK/b29vvJAuiC+ddC4MNBemy2K33lEqlglcbPZZrS7Cm0+mGh2EXlg1v7bFOm1RKJBIqlUph4a1Wb2pWqRhAw7WlZqvVKpA0dZYsRq6PTQlpQJKSNrwwPHRey3UjSVgiZ9yA3WBcl62MsB4ZEQ3jwL95HQk+yvZI+KB/8j227AsjZetV7VxEJYHo2oiOSzTRFk262SjFrgObaIQMmAvWDgnU29vbkMCkXK1YLIaKjp2dHdXr9aBZ43BQ5WGjSTxxrs/KKrZkzMp+XCPXJ91XFLGeOcxxdnams7MzXV5eBtJ9V8mYjTC3JfKs5k9lxN7eXqjD5nBQt9sNER7ry1ZUVKvVkOy0Hj9zQcTS7Xbf6nz90Ij9cAQnd9DvIDKyvavVSu12Oxw7lL5bz8fmox4WL+Tu7m4j7GLytk3str9HQbjGyRVqRwuFQkj2EMaiTfI+dFM2mr0HW5LF+9Lp9EZCCs+WSoxarRakguVyGawz2iI6Ll4fGymVelPUXqvVVC6XQ0bbkqukMA9INTZ5ZDPGSBjr9TrIA4y5DVmtpGI3rHQfaeCxETHwPdwD44UBqtVqOjg40N7eXpBzKP2BRCBWZAuiBYiVz4xeB/NJqL/tPphTK61wUm9vb0/Hx8d6/Pixjo6OwlxhTCzwumxdaLVaDVIZ3w/BW2/NlmhVq9Ww7nkN5YAYRK4ZAsYgRSMRK7FYLd8aGwzhcDgMSb2LiwtdX1+r0+mEJODbCOx99h6/51oKhUI4bcc+arfbQXaJeswcKqK2Hlmp3+8Ho0GCllLIP7Ta4g9BrL0XSARQ2sT5dQrP6/W6ksmkarVaqOelVlW6nwyb4LCiPV6OXVjfJ4Mahc3mDodD3d7eBsIl3ONYrqQND4r328WO12E9HjYgRLFer8NRy+FwKOmNxbdlVISLbC6bZIP4OVRxcHCg4+NjNZvN4ClbTREiIgOPx8fRTuaIkNt6qxgHjA5IJO5PFUkKhxXsmEIilUolGNzlcrmhD5MQpYfCwcGBjo6OtL+/H44Qo9NdXl6Gng2JRCJoeJAZnqRN1tjrqFarKhaLocSP+bLrh7JAK58UCgU1m019+OGH+vjjj/XkyRPt7e0FomfMiDS4NsYVUm82m3r06JH29/fV6XQCwdl5tXo1x9IhRgz8YrFQuVzeOKqLx7per4MEhWHGcNpKAZtMtIlskqk3Nzc6Pz9Xq9XSxcWFbm9vQyXNu7zcd+03fuz9WBK2keE2p4q9cnR0pJ/97Gfa29vTarXakCSQz5BkhsPhn66ni17Hxk0kEuEsP9aMDd7tdnV+fq52ux0qAVg0g8FAV1dXqtfrYdF2Op3Q9MQWq2+TEbZlrN9mdSFzLDw6W7Va1d7eXvCIbKgGcdjv4nrQG/E0IG88ukQiEQiaRR8Nf7kvviefz294uPl8XgcHB3ry5Ek4PEGyynrdfD56qfX2kFHW6zclYxcXF0omkxvHcJk7rp/fsZHX67X6/X6QWqxnzZzX6/UN0oVkJpNJkFaazWY4im0Tl7u7u4FcLi8vQ4kbpGub5EC61qPG8OBJVyqVjfFnzqgmQQsklE0mkyoWizo8PNTjx491eHgYysXw8rlnW5ljy7CI3DhO2+12g94ISWMQrddtyRGPMJFIhOPKD52g5N6tfGTLL60Rt6RL5Uan09Hl5WU4/k3tdtTjfNu+s/vLwsoxw+EwHBHHsVku3xweub6+DpUcVo7AQO/v7+vg4EC7u7shAiTqGI/HoQLHJkXjQizVC/yJdbEhbDRDjcfHRrZhEpN+c3MTFi1HVOkwdHNzo8Fg8J2yIKuf2pAqGvI/BKs344HbTcuP/XwkAxZwVPOEZAk18YysZ0L4iDeDlLDtGmxzFcrY6N2A12kBYUPqtjqCcUMCSCQSweCNRqMwVhAl2jYblesgC4/Hb7VPvHw8TJKCdvyoGT48PNQHH3yg4+PjcAR1sVhsnMQjqWK1PYwJBodaWLph2euyr+X3GDiSehDWaDQKaxXjADlG9X3mNVqyZYF+ube3p0ajEZJVzI1tsjQYDIJWbSMXIqHDw8MgcTAnNslI1IFXGh0j1oEt2STiIOnX7/eDg/MuSUHa3tLT6uHsT+n+ZOZwOFSn09HV1VU4KDKZTNRqtXRychKOXiMDvo07bB23bUyFMbVVTz82YpUXIF5CVSb79vY2bNrZbBYGl8Vk9bToaSK6HM1mM/V6veCNRC0vCz5q0W2SI1pRIN3X+VG3yUKBbAjByUZL91ohOhGvZ7NyNBeStJ4P92yTGjQdIavPMWpOgzEmtlyGkJ9MLXo3m58/2Vh2k0mb0gqRBckSDmxABEhEaJRW06a0iFAO79166+jEvJZKifl8HjxWiL1er4c6aYrk+/1+qBQgo829QyZ8D/NjDS2GbTQaBZKK1oem0+lAtFQiQBT2uGyj0QifYSs0WEt2/InekC1s6RknwGw0QrMf+nMMBoPQ9ImSLrxcEm0YP/RuW5bHPCEt2f0B+UKESCnFYjGc+mT8uEYMyrY9hIG3dd9WQgA2soR4e72ecrlc6DJ4dnami4uL0FWQtc/3s56Gw6FWqzeHiNgvJJxpomUTonEhNtJlwaO5SfflVXgIkjYIlFNrvJ/BQRS3ehYEHM0mW+CF4RWSuLNezzaitpl2a1FtX1UWk3SvObOwRqNRaCBDP4RCoaBkMhnkCatPJxKJIF+wKCltabVaarVaarfbITFlSZsxYYNzXBePiA0Kydpse5Rw+U4asvCd1ENidGwSCGLFqyAyQPODKCl5g8Cl+1aQvJ6kVaFQCMdbkXYg3clkEjxYErV0m8Ow4+HxHVyjrZYYDofBo6enh9VekTto7cn8Ulv7+vXr0GnL1vpag2YNNgYNg0jTHIgCiYa1jJ5KPWmhUNDNzY0ePXqko6MjHRwcqFKphEY7GF3mFOIm699qtXR3d6disRjGem9vL5BjtAoDA4aDYQ9bRBNxNq/B/7PnOFJve0RsK920+509hLx3dXUVojyMmDWos9lM3W43XOdgMAjaM1UeGOdtuvCPjdhJF6vGYuTUFd6I7Z1LmBjVgliEbGrrzUDkWNyotMBrIA2SHA9dc3Tx2B+wbcHhwXS7XZ2enuqbb77Ry5cvdXNzo/l8HpKF1Pja9n9cIxn4TCaj+fxN+8pvv/1Wp6enG8d80WvtZmCT9/t9XV5eBg9Auq+OgEzs99qwGinn7OwsnNqxm6/RaOjw8DA07CZBAWlykMIeiYbQF4tFmHuIxPaVsAaU8NUaJ4wKZBKtsuDAB5EVmxyJi8hGupeOkE0gIyo9bIctNj9kiQGh4ubw8DAkLK1mytjyXRA/bQrRSOmkBXGv1+tgFDgJhwGiaXs6nQ4690ONbDBQt7e3evXqlb7++mv1er3QEe3Zs2d6/vy5njx5EqIv1nx0//D7qLGO7pkoeA8RF3Ni901UAuSzMdJ0F4smOa0BoFKKtd3v93Vzc6Nerxfqv+0xbK47LsROutYLZPFZ8mTgpPvFHpUMpPu6Qd6HVbThkS07stdgrSiWlOuJhhlYYktYJJOQCkiuRD3F0WikVqul3/3ud/r88891dnYWqjE4TLG3t6e9vb0QkkIm9gfyOzk50evXr3V9fR20T070lUol7e/vh7AUAuK9LHZeb73jaAUI48N5fzxcys8ymYz29/f17Nmz4N1Bou12W+12O3hPyDe2TIt7Ypwmk0kgGEide8CzxYhyX3hHzBlyDREE0hVaNIlVm7XG62ae0Qc5hVcqlYJhy+fzofxIeiM3XF9fB8dgMpmEnAKNxS0xAf6Nh8b8XF5e6ubmJnjuHCVPJBIhEqPXBY6JbS6+t7enw8PDjXVjjRwJsJOTE/33f/+3Xrx4oU6nI+lNdGnnGC/fVhPYiIC55f7sHo9GmcyjTcDaNWb3pXVs7D5mvdj9hsGMetI2ErE9StBw4ZHoXv+TJF2LbdoaAyHdd4qyls4SJAPOZAwGg5CYQ2tkcUetoQUZautJbbtWrlG6r2vl+O3NzY2azWbY7NbzGo/Hur6+1qtXr/T69evQT5iFen19rfPzcz1+/Di08kPXJfTm6Q8vX77Uq1evdH19He6XJNjOzo4ODw/17NkzVSqVjZpokgbovI1GI3iM0RpNm8wg2ri6ugrHUqmprdfrevz4sZ4+fRqICI+abv4kl2wCz4aLSAd4MMg9kCyv5SgzTyawT9bgNBqySbPZ3KhS4J74Drxu6jTZrBAAYT/GGs2Q0r5Go6G9vb0wXplMRt1ud8OLZH6azWZYc3Z8GXeMDId52u12ON7KARAkm36/r0Qiodvb243xY7/k83nV63U1Go1weMIasWhtLXW1HEDCwy8Wizo6OtLx8fFGgssSLp3lCO2t0XqoesF6+FZetPvSyiB4qOi0tsQLIuV9vI5aaRoOUclhT7XyY4k/ei1x4CchXXujiOa4+tlsNoRni8Ui6FO8h8MALAg8LLL+LAT0MNvIwsoK1hsGD1m7bTov4SgF19vqCSWFxId9kgHeLB6IPTZKco8uY6enp8Ezubi4CKGtdO81VatVPX78WM+fP1elUglHSlutVvDaptNpCCWbzeZWj4Q/qalutVp69eqVzs/PQ5aaulx7JJneq/TW5bUcfsGzgygxdKlUKoR5SEHU7pKwIRtdLpclaePJGkRKklSpVHR8fKx6vR7InPmBMOzRYpJKkkK4iycGKRNh4f1ZTZMEKkejV6tVMI7Hx8fa39/fqBqJjjVGud1u6/z8PBjkSqWiWq2mR48ehQblrPmzs7ONtcM8XVxc6MWLF6pUKqE+WFJwRFiraJnWy+OzKKuK9qSwexQDziGIqHTyUDLK3jtaNREE+4/3Qrq2Yx+kb2UFW+pGDTclhfT+pcqHfWj3KEb5p0BspGu1SvtnVLdjEOmpQC9P5ARLstK9tyopvB9ytZodE8XGKZfLIYs8HA6/kwB46B4Ie7ZpZ7zGhjx4boRsGATKeywpscDm8zetGq+urvTq1Su9fPlSFxcXIbSy5G6t/N7eniqVStCpeXimLROitpj6TZsIsVr59fW1vvnmG33zzTc6Pz8Prfuo2uD60RkvLi50dXUVjoIyt4yZzVZbvdaGiel0OpBGvV4PWjXEa6tN0MwhFmpx8Wo5+UgFBV6SfaoAnifjRT04BMT6ImHII4FIfNm6cEnhpOXR0ZEePXoUTozZtcX8IsXwHLrb29uwnpgjGphns9lQ4UPobBPTNJ55+fJlqFpgXWFQcEaIVpBOIMFofwd73ZacWHO2F7Ml3of2DeuM5KT1ohOJRDC6XA9jgUGwxlq6dzjsw2p5qCgPPLUlbfZYOfwTzcvEhdhJl1NXVtsifKCEw9Z9UoeJlUXPwnOU7p94wHfY+kyrn6VSqXCG3ZIutZbvcw9k0CFuCvNZJHaBQfK8nudqZTIZVavV0HMCHSpKfDxVgJIx65XbKgoSKPydxFutVlOpVAoa8O3trVqtVigpQvNk41hC4NQRZWJosDYpRp0sJMShlOh1St99ZD3elJVvbM9b6f64rG3LZ8eZ0JKj0VRPIHdgkO1BmYd0fcbdtl+U7k/TIfPQ/Of09FTn5+chEUj1TKFQCBLL8fHxRp7CJrRobgPhjsfjUHpHNUixWAx7JqrBWwcBR4Sa1sPDw/CkE9aVPU5br9fDdfOZnLQkgRet2kFiQfawZZI2wfa2JBoOD8d52SOj0WgjUWoPjiA7WlnRrv1SqRSO/D5+/Fj7+/uhpheuoJLG5l5sLTpSWFyIjXQJebBCkjYWfDKZ3CBVSyjz+VzNZjM81gQpwmo0EK8t0WFTSgrWGdLN5XLBw7FlMe+y1nYB0/2IEiYbsuCJ2XCNhRQlbcq4SBqwObHwJAiRTDAitrYXsuL+aULebDZDY5z1eh0akBM6E8ZZqx/V0vEybG0ppIemGu0IJynoivb1NqPPWFoitZ4sG9VGCrY0jjGgCRBjz8MKuR4beUja+Hx7PZaI7T1AlEgUlP/Zrlo2Ccq92o1sjQtVC0hT6/U6nIhrNpsbTdCtFrper4OB3UZSrDl72Mh6j3bN8QBN7tEaXSs92bEjCRt1FKLe8La9w5+pVCoYT+5lZ2cnrHV7PTYysOue+ccI7O3tqdlsqlarhZNrNnGKJGIb7ttjz5SfxoUfnXQZ8Fwup8PDQ9VqtY3sMQsxkUiER4R0u90QWjEwkEin0wkivvVgoiI+78ULZePy79Xq/umyLOh3lbrYDWprRql7jRIu5UDoioTCEIVtnAMh280PKVWr1Y3TSSxO5ArC6bu7u/AwREq6njx5Ekq9ptPpRsNtmy2GZNlc+/v74fTXxcVFSGBAsHTeJxTFOGzLStswlCgHz9QeP0YrhVwhZDu+kJbViaX703WcAOTzdnZ2wu+sF0tojQREPxBkBXsPbHwiMYrrWX/cUzabDXrs/v5+8DTthrbREB7m7u6ucrmcnj59qqdPn4beDYnE/cEWe/oQLZ2xLRaLoaGRPc3I/uO7bG05YwyhRU+ZcTCFz7AyBKWGUUPKnETBmqDpEXXQ9M0olUobzz3jmqzjES01Reqh6RU6LkabJLR95BAOAkYEz5u9ZPnqx0Rsni4Zdg4kQHS2Vo5C/ouLi6Djov+g9VIriT5nS2Ps3yWFRVIsFjeSDIvFIjxuhsUcLc4GLCwIIuoRbqtzxSAQiiINoAfzcD+rvVkPCw8tlUqFc+Tp9JtGHpzWogwnkbh/pDS1zZxEqlQqOjw8DBHAcDgM3o6t8LCki6FqNpt69uyZjo+PdXZ2tpE1lu6f1kw/BdsZjHGzGl70KCsyEp4Or6tWq8HTY2wYE55BF/UgrbHkOzHSyEcUw1O9QIKMjUcvBzRda/zwNMkl2EM7jFs2+6ax/vHxsT788MNQBrhtzUBghMbMyZMnT3RwcLARic3nb54Y3Ol0NB6PQ6SEoaa5Tb1eD30obHkd6856xay/QqGwUQlh1xGRjZ1PG0FG94Ctjd/mvLBeBoNBOKZLwrRUKgXPn0oKmsBbx8rOO93ddnd3gwTJ/NlohKoQ5py5YhxrtdrG4aw4EBvpplKp0HnellWxeFnU7XY7HCcdjUYhfCcEoyaVrCReiP0e603xvfZzsHzR/rPRxRJNnOERsfhsv4JosgSLTdlTtVpVIpEI1pkWhUw2r8UbsM1eKLhvNBobj68nTEbPo47TJk3I7EoKYVT0QZv2fm0IiDxRLpc3qkas3kaIao8j2zpZjB6EywZnbJF80ArRHOm8ZlvyWQ/T3qM1YnwP7Q+RICihY73YhKuNWPCubOkY92k1VK6fccPzomTJHnaJylaMUaFQ0N7enpbLZTCu9oGWkA8eKNGOzQtYOQKvEZ2SgyH2ZBsGdT5/09O60+mEUjXrENmkUzQ5zBjbqA0jwdqP3i/jbh/3hKdLRMf94q3SS9s6RDY3RDc+Kp0wTL1eT5eXlzo9PdXNzc2GlyvdJ9ZZPxiNuBDbNzGZJNLwSplYwlYahuPZ7O7uBq2GhcGC5nNtuQphudW1CK0ymUywhvaRztukBRs6kb3GMtOXllA4qt/x/nQ6rWq1qqOjIzWbzVDjSgKNfgWr1Spoe2wykgt4NavVaqOJOV2YWKi2AJwEiXTf6o5yL+p78ejY4FyzTXjZZBWGRrrXfPHCmDs8CRvK2qf6svDZmBA/3rUlTpJ2HEXm0IVtlI0BsVpotVoNhysIvfH4GFO+33qAkAn6LeEsYTFlUmifkI5N3lptmvuEPHEykDggfiocaN2J7mwlDXoO2KeQ0Bzn0aNH36kTp/aWbmX0VViv3zy08vj4OHQ14/gxjah4iksUrAWbF8FDpUTP6sHbShJtIpF1Kilo18yHrZ+PVhzwdxwD5hoipwn81dVVWC8YaUu6ljdsVUQciPXBlN1uNzxzaZv2h3XDi2WRzufzoPGyQSAKmw2XNut+bRMbJpKmKtaKvs3js4uMJAKF6IQmUXmBz8vlcmo0GsFQYEAIAblH9F/b8AUPnEMNkD81uLZ0yG5miAodlHAbwibTTpKByMB2ZLJNVRgnxkW6jyYg2W3aqq08sBKB9SDR4qXNJ7Xao7o8IePm5kY3NzfhmiC0fD4fztP3+/3gJTM+JBejZGgTbWxs63mTZ+De8eLsumMcAOPG+iKysglCm1VHVsHbhhxtwo2ox65VqwdXq9WwDq3kg8d+d3enUqkUPh8pY39/PxyAgXin06lKpdJGgyC+j+/EyDUajdAfxRoSK/XZvW0/j5rb0WgUolp7gMFKHtsqTlgvNp/AOuEZc5Tz2SfPcC/83Xref5KkSx8Cwv6oRiPdEwinzPAmCO8JnfBA7fvs5o2G+LZsyD7J1m7+KPFCWHw3STiSFmhJlARZ0rf1p1jjer0eGonjheKtWguNzozmaBvqSAqJDDx3EkJWsrFZe7xBPGT7/9b7Y/NzXWz2aF0wsDXQjDtEb0u8IFx7AAJP1tYwE17aHqckOnkckS1XY86QpfC2e73expMZ+FyIzVbPQCZsdO6DcNXqz/Y1NsqK6stcz3g8Dk/+YEzRKReLRUgaIk/ZyhdbjWNDYdY9kYTVw/EWIVo0cyvZUEZmPWp6CBeLRXU6nbCWbWUQv0OqQUOuVqshgTsajcI6Ze1GDx7Z9Yf8QY0zTlGUbO3etmNtOQBjxsNT2UNIFducKtYuOraVKH9sxNraEasb1WjsoFiyjB7dRJp4V5kKk2XLyRh86z1EkwUWWHabJIiSsA3No1lukmh0vLJZcu6D76WGlsYyJBMga6ujoWFyMGGxuH8CB+E/HqTVpNEwbfgGgbHg8OSYH5IubGpbumOv3+rA3CMb0Hq4kjb+jyc6o7fbsJg2nWwc7mdb0gM5iaci26RcrVYLndCQPNAx7UbDk5XuJRkqJyBL68XZ9Wcz+/aJENwzISxRBok7W7USjdDsusQDJ7mMl2sP11gCIaRG2242m1qv16FO1za0YewwhGjoaMS2nlW6N65Ia/a4vt0v2xLTdo8wpoyL3aeM87Z9ybXYyAWusE9hjh6GiL7X1obbfrpxILYm5gx2VKeRthfQE17ZH1ti9tCEWDDANuPKBmDCo6K/fZ8N+wglo6RjQ2u89F6vp+vra11eXmo4HAbBPxrCQICUll1dXen6+jpotRCRTVaQsKFLGa0PbXLMarJsMFt2xVywUK1+acNI+wSCbfXRhO5sPKoGMADcHz+JRCIcn63Vatrf3w+NtmnnSfYcnZGz+rYvg9Uo7ROQbaKJJjqE1jSQoUcCp+esJglhQLaQoqSNU4/oqvxQkbK7uxueUG37K9uQmLm0hGXXO2Nm15qtspAUStMYa8oB6abVbrfD04RLpVJYS7u7u1uTXLZygegCTzqamLZr3+5lDEM+nw9Sw7YEIrKHdXpsZYT1+N8GxgcJzvbxiMoc0UgNp4RoxhrcOBBr74Wojhf9P6u5RbVYvF4sOjrNNmyrTSyVSiE5I729QQebo1KpqNlsBp2LUNmWs7BZuVaepXZ1daWrq6twrbVaLYTHlsAt+aEvkWXHA6nVasGjpb6xVquFsIpEGzrs3d1dSMBJ2ghL+Xf0VBPjxu+puKBXqz0Vx3Xb8JoQGO+YEh6bqKS2mfphHr1DjTakjlHEu8Rg0k0Lb20+nwcDx2uZV6QBPDyeJrtev2kKjxdnQ96ooWLj2sMWrDvrFVN6dHR0FGrRraFmPULm254uwbywNm1Td05LMp/2QY0YW3vgggiLKKxYLG40+mGc0KyJzHi6LqSLR86YYKyt02ITe4wb97DN07T7e71eBw0dw2FrgN8WyXLdtnUnkVvUY7b8YgEXvY8D90MitsMR0nebTNjMrrQpC2BFsWDUKEJs9nBF9PsgD/RMTo4RvloPZNuAU+P69OlTHR8fhySFXag2PMJC2yOjeGzodzYbazO82yw912YXBZuWsLxcLodxmM3eNPBut9vBI8a7h5Cj8xE9jYXVt7W7lOUQoqMDWk2Y6yVMXK/vnxJsPW+8YnsctdFoqF6vh7HghBP3bd+HnohUgNxBpYbVIu1nYEC4D9YHDdOjx4otKdpaclukj2fHZ6fT6Y0DCvZINx4VsoA9SGANlnQfDUKe7XY7ZOE5YMOapnqARBQEH10z0Xm2Dg3zzjjapjLFYjEkvplPGyUSwhO9UCtLAtFWIFjYPUfClcTyfD4PxtAeIrHg+nEwGH8cGr5z22Ed1r+tm7aORlyI9Rgw2iADEc1y2sXHBsLD4BjrtkbGduCsl2sTOsViUavVKizUbWfYJYXN3Wg09OGHH+rZs2dKp9PBC4VUuGbrXUG6dHOy3t22QnmIFBKiZpNkRC6XCx4N1413wDVgkAiTkTqsd4mmbOtG7eLDiFhPg5ATb9FugKgMZJNleD545RCQDcWjpMO12Dm0OiHvs9o6iRorCUA80c/iO+zf7fVwz0g3nAazCTSbH4iuVz6bNUAfBcaRkiUI0l6bdTQgEpqa0z+Zng+r1Spcm60dTyQSoRa9VquF60CGIDqwR3dBVEZDFrJ10ZSjWUeBPc0jfCj3WyzeNAjq9Xqh6dA20rNlgiTIbdMd6+3aiAEjSLKdcbCHc6yWbu/TfjeGhHuPRh0/JmIlXTxO5IKomB7Vf6T7kirbMYqyIUsGEAqbkMmDWAg58ZZ4TAkeG7DeAR4SC5IKABqSoHlJCoYBD4VkBhompGnJAUuPfJBKvemZQKiNtNBsNlWv17Wzs6P5/P5JFzY0RN/E++THVl5sW/xcCzKI9drb7bZarZa63W7QNO1nbwsd2TwcR6bGlRCZUJxkoj2Gar1hmmivVqsQ6toG1TZRSAKLz0FfZn4gIdssHUJaLpehbSSfw3XbWmI7bnb82MxU57RaLeXzeU0mk3DYYLG4b3MZNTiMWzQfcHZ2ptPTU52engZph/cgw2AobAllNpsN2Xiiokajof39/bCGrAFmrKmnTqVSIZlJLsIeZyZhWiqVNp7GTWKN+44aFmDr3mnfadcSa5YKkmhZp9Xyh8NhmH+ihGgSznKDlXdsUpvIJS7E9k25XC4kZSA6NCseo2G7OxHKkF0EvMd2DLKhNINJ0mW5XOr29jZ4kGhALJLopDKhrVZLv/3tbzWbzUKTcTK6PKbG9vqlqfk333yjL7/8UldXV1qv1zo4ONDBwcGGZYU4bGYYDfXRo0ehTIkFDhGs1+tQYkOYR3UHXlk6nQ5tAEmcRGUDvtOG3tSPkkzh8TMnJyfhIYBEATyax9bvWv0cLbhWq4WSLcbYvo7/s7WlhOoc5uAaSR7aXhXJ5H1rP16HZ4WxwSPGkyfqyWaz2t3dDeTK5iSxAnHZ77MJWUiUmtZ+v6+XL1+GJ0E8fvw4lGjxgwHHi2PsSFQRMUB69O3AycAztzkNxgtPd39/f0MLt60cbXcw7sNGTpzqury8VCKR2PCuWYMYVOZ+Z2cnXM/FxYXOzs701Vdf6fz8fKuXi0NULBaVSqXCKVT0+cVioZ2dnWAgbNLNlnhizBOJRHAIOHlmE2M26kWasuWEGHm06DgQG+nm8/nQ3JnFS8aaFncc47PeJ4kv/k2W2i46JgkiRFviKbR3d3e6uroKVhVvMZ/PbySHsJDT6TQcH7y8vNQnn3yin//853r+/HlIlpBgY7FOp1Odnp7qP/7jP/T555+H50/1+33VajV9/PHHG2Eyi8Fafh57Ew2LpDdGiCw932f7COA12kMhmUwmHK+1LfsAREVoPJ+/eQ7bixcv9OWXX+rly5fhMddcrzVWhM1RYtzf39cHH3ygo6OjjWOtfDceqSV5PF3KtUhOIlUQvkKYZNNt/TThsDVYdn6Wy2U4KGIf0Cl9t2dGq9UKj+CBgDF8eGN4f6vVSt1uN7RrfPXqlZ49e6Y/+7M/08cffxyOfPOYJCsxSffPrOMADkk8IkC0ZJtgg1hZ/yTUWCt2/dgKlmjzIQh/Op2q1Wrp66+/VqvVCslfmijt7++H9+I4QFZ45L///e/19ddfbzzANOpxWplxMpno4uJio6ROUngKCLkU2mpafuBgA+te+m6De8aW6hUe4kn5IDzzJ9d7gY2WzWbVbDZ1cHAQLA3WFGvJ4oZQ8SAnk8lGEseWmkC4v/rVr/SXf/mXajQamk6nevHihX7729+Gx6fY0hu6K9kSNgtLYGzkdDqtZ8+ehVCNEJlQfDab6auvvtJnn32m169fazp988DAXq+nQqGgTz75RD/72c/CJmBcWIi2XV/0WtiAbCYSZ9HuSRCApI3eCWSWtwEC4cnDZ2dnarVa+vzzz/Xq1asNWYATeUgVNmNMKEurvaOjIz158iSQrtXMbCiNd2XrWNH2rFeERmw9ReapUqlsPKIew2TDcUrPyuWyDg4OwnHh6HVBupJ0c3MT9HQ0druGEonNZkOMFQ3nK5WKfv7zn2tvby9837aEjTVoNC+HBCAGmvCkUqkw93REw4uLdruzn2+1cJusJUK6vLzU73//e33xxRfqdDpaLBa6vLzUeDzW48eP9emnnwbvHvJmbHnQ5X/+53/q6urqweok9hr7yp5mQ1oql8v64IMP9Omnn+qjjz5SLpfTzc2NfvOb3+izzz7b6ApoG9zYeba5HnIm9Xpdz58/10cffaRKpRIkNYgbTzeOhFpsnm4mk9low0bGksfP0DAbsrIajw3D8QzxOAqFgp48eaJf/vKX+vWvfx2y+slkUicnJzo5OdmYVFsxANmBbdqdpEAQiUQiXLutwyR85vlRELz0xlOnEbgNI1n43N9DpSt8NgYoWvvJeEjakFVIoJBNfxuQDdCq5/N5yJbbUhvqPql5ReKYTqdKpVKq1Wrh9BNPfoDwrXdnNTQy0OiFbGqy9Hi39mSeJV17kAbSpdaUcbOfjWF413XZHhm1Wk3SGwJEtrDhOA8bZV5ms1k4Wmq913dtaCITSBpDY4v3rWcu3fe5QOqwpBqd42hykXW6Wq2CrEBkSSTR7XbVbre1Wq3C2LMWKpVKeOoKR25tmL5tP5Eko8QxWnrGeH3yySf6i7/4i9BZL5PJhB7GRCVWr4UPiD64RpJ9u7u7evLkiZ4+fRoOaNEEidLMuJB4R43aD1bARugWnfhoWc22Mq5tizWaRLNWHgtus87bPsvquG+D/Y6HCrjxkqLnvKX7ut9toeX7wlZ7bDu5Y78LIrca5PvCHsfcNg/WYNjrslUHfLed54fuyZaG2fmIVh3Yf2/7HHstD32OLZ1613VB6NEDAdH3PlTracP675ukwbvlu22Fj13z0fKzP9RLI7y30ZT9LpsEtLB7l4jnffaS/XPbuNkqF7uf7XfYuY1eU/T7rLQRLdXjHmzS/QfCg5MRG+k6HA7H/yI8SLo/ydOAt+FdFvJdeMjK/08/932+432+78fQin7M73rbuG2LFn6o7/1jxUP3+b7j9EN87w/92T/kd8Wxz34sjogb7uk6HA7HD48HGf4HFTEcDofD8XY46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0Y46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0Y46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0Y46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0Y46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0Y46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0Y46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0Y46TocDkeMcNJ1OByOGOGk63A4HDHCSdfhcDhihJOuw+FwxAgnXYfD4YgRTroOh8MRI5x0HQ6HI0ak3/H/iViuwuFwOP6XwD1dh8PhiBFOug6HwxEjnHQdDocjRjjpOhwOR4xw0nU4HI4Y4aTrcDgcMeL/Byqim0FgG+c1AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 51; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 52; current eta: 0.5, current beta: 64\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 53; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 54; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 55; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 56; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 57; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 58; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 59; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 60; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 61; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 62; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 63; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 64; current eta: 0.5, current beta: 128\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "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", "# insert dummy parameter bounds and variable\n", "x = np.insert(x, 0, -1) # our initial guess for the worst error\n", "lb = np.insert(lb, 0, -np.inf)\n", "ub = np.insert(ub, 0, 0)\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 + 1)\n", " solver.set_lower_bounds(lb)\n", " solver.set_upper_bounds(ub)\n", " solver.set_min_objective(f)\n", " solver.set_maxeval(update_factor)\n", " solver.set_ftol_rel(ftol)\n", " solver.add_inequality_mconstraint(\n", " lambda r, x, g: c(r, x, g, eta_i, cur_beta), np.array([1e-3] * nf)\n", " )\n", " x[:] = solver.optimize(x)\n", " cur_beta = cur_beta * beta_scale" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lb = -np.min(evaluation_history, axis=1)\n", "ub = -np.max(evaluation_history, axis=1)\n", "mean = -np.mean(evaluation_history, axis=1)\n", "\n", "num_iters = lb.size\n", "\n", "plt.figure()\n", "plt.fill_between(np.arange(num_iters), ub, lb, alpha=0.3)\n", "plt.plot(mean, \"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": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt.update_design([mapping(x[1:], 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 again. The enhancement is universal across all frequencies now." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting forward run...\n" ] } ], "source": [ "f0, dJ_du = opt([mapping(x[1:], eta_i, cur_beta // 2)], need_gradient=False)\n", "frequencies = opt.frequencies" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "intensities = np.abs(opt.get_objective_arguments()[0][0, :, 2]) ** 2\n", "\n", "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": "markdown", "metadata": {}, "source": [ "We can also use a CW source at individual frequencies and plot the fields." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt.sim = mp.Simulation(\n", " cell_size=mp.Vector3(Sx, 40),\n", " boundary_layers=pml_layers,\n", " k_point=kpoint,\n", " geometry=geometry,\n", " sources=source,\n", " default_material=Air,\n", " resolution=resolution,\n", ")\n", "src = mp.ContinuousSource(frequency=1 / 1.5, fwidth=fwidth)\n", "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n", "opt.sim.change_sources(source)\n", "\n", "opt.sim.run(until=200)\n", "plt.figure(figsize=(10, 20))\n", "opt.sim.plot2D(fields=mp.Ez)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt.sim = mp.Simulation(\n", " cell_size=mp.Vector3(Sx, 40),\n", " boundary_layers=pml_layers,\n", " k_point=kpoint,\n", " geometry=geometry,\n", " sources=source,\n", " default_material=Air,\n", " resolution=resolution,\n", ")\n", "src = mp.ContinuousSource(frequency=1 / 1.55, fwidth=fwidth)\n", "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n", "opt.sim.change_sources(source)\n", "\n", "opt.sim.run(until=200)\n", "plt.figure(figsize=(10, 20))\n", "opt.sim.plot2D(fields=mp.Ez)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt.sim = mp.Simulation(\n", " cell_size=mp.Vector3(Sx, 40),\n", " boundary_layers=pml_layers,\n", " k_point=kpoint,\n", " geometry=geometry,\n", " sources=source,\n", " default_material=Air,\n", " resolution=resolution,\n", ")\n", "src = mp.ContinuousSource(frequency=1 / 1.6, fwidth=fwidth)\n", "source = [mp.Source(src, component=mp.Ez, size=source_size, center=source_center)]\n", "opt.sim.change_sources(source)\n", "\n", "opt.sim.run(until=200)\n", "plt.figure(figsize=(10, 20))\n", "opt.sim.plot2D(fields=mp.Ez)" ] }, { "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 }