{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Near2Far Optimization with Epigraph Formulation\n", "\n", "The adjoint solver in meep now supports the adjoint simulation for near-to-far fields transformation. We present a simple optimization of metalens using the epigraph formulation." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import meep as mp\n", "import meep.adjoint as mpa\n", "import numpy as np\n", "from autograd import numpy as npa\n", "from autograd import tensor_jacobian_product, grad\n", "import nlopt\n", "from matplotlib import pyplot as plt\n", "from matplotlib.patches import Circle\n", "from scipy import special, signal\n", "mp.quiet(quietval=True)\n", "Si = mp.Medium(index=3.4)\n", "SiO2 = mp.Medium(index=1.44)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Basic setup" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "design_region_width = 32\n", "design_region_height = 2\n", "\n", "pml_size = 1.0\n", "\n", "resolution = 30\n", "\n", "Sx = design_region_width\n", "Sy = 2*pml_size + design_region_height + 5\n", "cell_size = mp.Vector3(Sx,Sy)\n", "\n", "nf = 2\n", "frequencies = np.array([1/1.52, 1/1.58])\n", "\n", "minimum_length = 0.09 # minimum length scale (microns)\n", "eta_i = 0.5 # blueprint (or intermediate) design field thresholding point (between 0 and 1)\n", "eta_e = 0.55 # erosion design field thresholding point (between 0 and 1)\n", "eta_d = 1-eta_e # dilation design field thresholding point (between 0 and 1)\n", "filter_radius = mpa.get_conic_radius_from_eta_e(minimum_length,eta_e)\n", "design_region_resolution = int(1*resolution)\n", "\n", "pml_layers = [mp.PML(pml_size, direction=mp.Y)]\n", "\n", "fcen = 1/1.55\n", "width = 0.2\n", "fwidth = width * fcen\n", "source_center = [0,-(design_region_height/2 + 1.5),0]\n", "source_size = mp.Vector3(Sx,0,0)\n", "src = mp.GaussianSource(frequency=fcen,fwidth=fwidth)\n", "source = [mp.EigenModeSource(src,\n", " eig_band = 1,\n", " size = source_size,\n", " center=source_center)]\n", "\n", "Nx = int(design_region_resolution*design_region_width)\n", "Ny = int(design_region_resolution*design_region_height)\n", "\n", "design_variables = mp.MaterialGrid(mp.Vector3(Nx,Ny),SiO2,Si,grid_type='U_MEAN')\n", "design_region = mpa.DesignRegion(design_variables,volume=mp.Volume(center=mp.Vector3(), size=mp.Vector3(design_region_width, design_region_height, 0)))\n", "\n", "def mapping(x,eta,beta):\n", " # filter\n", " filtered_field = mpa.conic_filter(x,filter_radius,design_region_width,design_region_height,design_region_resolution)\n", " \n", " # projection\n", " projected_field = mpa.tanh_projection(filtered_field,beta,eta)\n", " \n", " # interpolate to actual materials\n", " return projected_field.flatten()\n", "\n", "geometry = [\n", " mp.Block(center=design_region.center, size=design_region.size, material=design_variables),\n", " mp.Block(center=design_region.center, size=design_region.size, material=design_variables, e1=mp.Vector3(x=-1))] # design region\n", "kpoint = mp.Vector3()\n", "sim = mp.Simulation(cell_size=cell_size,\n", " boundary_layers=pml_layers,\n", " k_point=kpoint,\n", " geometry=geometry,\n", " sources=source,\n", " default_material=SiO2,\n", " symmetries=[mp.Mirror(direction=mp.X)],\n", " resolution=resolution)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will have two objective functions, one for each far point. However, we only need one `mpa.Near2FarFields` objective. We also need to provide a near-field monitor, from which the field at far point will be calculated. Only single monitor is supported right now, so the monitor needs to extend to the entire cell to capture all outgoing fields.\n", "\n", "When evaluated, mpa.Near2FarFields will return a numpy array with shape npoints by nfreq by 6 numpy array, where the third axis corresponds to the field components $E_x, E_y, E_z, H_x, H_y, H_z$, in that order. We will specify a objective as a function of the field components at frequencies of interest at points of interest. In this case, we would like to optimize $|E_z|^2$, and focus the fields of different frequency at different points." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "far_x = [mp.Vector3(0,40,0)]\n", "NearRegions = [mp.Near2FarRegion(center=mp.Vector3(0,design_region_height/2+1.5), size=mp.Vector3(design_region_width+1.5,0), weight=+1)]\n", "FarFields = mpa.Near2FarFields(sim, NearRegions ,far_x)\n", "ob_list = [FarFields]\n", "def J1(alpha):\n", " return -npa.abs(alpha[0,:,2])**2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "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", " decay_by = 1e-4,\n", " decay_fields=[mp.Ez],\n", " maximum_run_time = 2000\n", ")" ] }, { "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", "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(\"Current iteration: {}; current eta: {}, current beta: {}\".format(cur_iter[0],eta,beta))\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", "\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(False,ax=ax,plot_sources_flag=False,plot_monitors_flag=False,plot_boundaries_flag=False)\n", " circ = Circle((2,2),minimum_length/2)\n", " ax.add_patch(circ)\n", " ax.axis('off')\n", " plt.show()\n", " \n", " cur_iter[0] = cur_iter[0] + 1\n" ] }, { "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: 64\n", "Starting forward run...\n", "Starting adjoint run...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.8/site-packages/meep/adjoint/filter_source.py:91: RuntimeWarning: invalid value encountered in true_divide\n", " l2_err = np.sum(np.abs(H-H_hat.T)**2/np.abs(H)**2)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Calculating gradient...\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 1; 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Current iteration: 2; 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", "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: 64\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: 4; 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: 5; 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: 6; 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: 7; 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: 8; 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: 9; 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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JS3qqdrmXExXz4d9cgw7i0qkF13mJRU4xHA4HTSaTs81oCBK/QW/2BIiPzOfzlMCRI0hs+Ktrk+4HPn5OOpAsSXAkNxKbV7n4S6fTSXxAMeYx6G091ybWGaPr0NiADs5tLClxiic+bI2GDG/RfdF5eWL3I2u8Fxtx309JDFdJl8CC1WnRcmfCyRGt87OATNxbXQ961/jydpgg4DiGV9IQqO8QQ1q+KeFBjgNyPycdnD/XQXM5gYo0D6Z8Hq4X+rV90wZipy2iGnHtkSSXt/q5QwN3KidQ4LoV4yb4XbN0e3n3wWeolvAVd1rmy/18bC4VuRbvQeE6M1WHV6Uur3BPAt5t5Ndz33EScLtITxtAVLe+qYqNIHx8gbXye0o682lPiN4q5wnB/Sy3G2TsCRS7YytO7dApuQ7Ke3xvxm2N1CMpJaWcEL3w8bleih0+4z7gfuWJmvm4huv6vHcbLs2QAOhCXC5yzZWxUtRwP9f/KaxIfNwP2S7v3nyvxUn/Gq6SLsG+3W6TRoRu4uf1cBaOX+EEGNUdggXHsEya15ANcAKqim63m1ooiAjHhGSpgJzQnHRpfWi9/Hgbla8vdL5IuY6U61wEJQ4NGXCM63Q6pYq83++r1+tpNBol+cF3SznlgJ6J0/rxH3btuSdzZE7eQXjF64mNP6ksIHbm49WWt2R0FIfDh1MAyCbb7VaTySQdoeFkQnK4fwSPd0reknlweoXm7bK3zehq3kF5u+7kDMGRsKmqnWjYYNrtdumMN/bwUxe9Xi9VP8yb+XnH4lWbH9vzUyd51+dJ2uWbyWSSznBDhsQcR5kYo1d6nKqhW+PceavV0sPDQzrCt91u0/tIrvnmmXepniS8G/O4ccKlw6J48403r4xZY36IDbcH3XVRFOr3+6lal55O2HAdL9AYg0tEnvQ8MZNwc/3dpZ5arZaOmcKLdHjP4ZOVbk4ktAWXNqq88oMQfePNicB1XH+vpEQkTm5lWWowGOjly5fa7/epoqYCz4nUWzyMzT3yDbG8+nVSB77ZRWC4gM91fL7ehjA+rokk0u1208F2jr7N5/Mk4JNMkDg4eM5ZRW9H/fiTVxyQC0R3qfr1qi8naNaKzQPpqbJyLXq326WjXawl1Ycj9xnu54nPdWkC1YOEPxkPtoZovJrGHv7DOLxw4Jr4iO+MQ27YhL0F7o2NqNrzRJJXgHnVRDxhS8YEmUlKyeBwOKSNL3R1PyPvsgA/g8HgzOcgrNVqpel0mogF6c19wGWt/Gglfg+J+tr6iQNsUqvVEpeQDDi/y2ewq68DcYWftdttvXjxIp0s8vW51HH6iQ+PecZILOUSm3OQ+0y+P+QVtRcZl3D1VS6EA+QtoGen3JEYtJ8d9SMaiPksEAP2AMgN1Gw2NRqNdDwek9yA0y8Wi5QRkTu4F8QkKbW+JBJPAHnr6zpqLl9IT3IJi+EJhflKTxsO6/X67MwuOiXZkgTCucZcF3T7uxboSdArJap21w+dIAgeNpa4l7/ua+bnmcn22Ie5QUboonm7TcD57jn35Gifa4ZUspxTdamJz9Ah4Y8kTH5Pd5LPhWo+15hdOmCtqAD9PDFr5K0+4yJI8Rv3L39deto88+qYNfPWF0L1wsbHTqL3NUIK4RgZP6fTh41HzoFDuKwpcUTXyX3zqt0rataScXgb7nHM+9GRfXOQa3DyxOOaa6K13tzcJAnArw2cPEkYjMV1e5Io1Sr6uMsgjIuYdXnF/cq7zudwlXRns1kKcByRG7oI7buQLI5rZt6GYHwyrOtcGP9S9eGbU7StnFpwbY2Ap+X1M7osmC9Sfs6R31FRkM08sPL5eMLx1gSih8BxLI7wIJuwIcHXUJEivO3J9T5Pfi7VeHDnsgHX8Ird9TQckM/k2iPf8kImIZBzvZ82yzcBa7WnYzgu/bDj7WtMMPp6ONFgMyof5kIA+rEpCCgnNgoB/7KNV55UfL5ZjN/tdjtNp9O0S894SHreHTjperfE+uU6pq83Py41XPID7MKau62wB8kKuYrOKo+pXq+X/PSSLp3fL9eWKaYYKzZ3AnOd1H2W1tzP6OZx7efY/Xika+pOiC45TCaTxDd0CR4rbnOv9PEPSNrPcDNmXvOjs8/hKunmGphrYRgb3YNAwqndgfz78QSKf3UWjZPs5lUL4+CLBXytFKNxgoFkgFO6RsfzDPiWCtkVh3apg985iULS0lOrDiE5cUNWzIMMnZ8j9iqbzUcqURzeTyKQ3LD94XA4O89Ka05AePXjpOvZ24OYsXrA8hm3pQeIV1F+XAcn9fOznmxzjTOvpPKW2yszApNvXXmV7zqby2JOcBCAf0OLwKRTwO+ofvw9zNU7ALet7x24DfPf55poLkf4xpF3J/gLPsOPj5V5Uw3yfI7BYKCyLM/2Ckh87p/+J0nf915YTydcX1vGwfq6nVgDvtHlMmK3202Emp/qcImRhL7f79MJDqQT39R1YqSqp4tEqvME7sTtCcarcvZTcr0caeUSn1zCJ4+MFUWRiAOD+VlF2jMcxCteFr/f76cHs4zH4/T0slyOcMeFUCGgxWKhyWSi8XicviLq2bTf7ycSxDCQGS0ibZSTOwb29sWdyeflweaflc5PW5AE3Gm4Vl6ReGXV6XTSxptXfU66LhMwp0stp0s0rFFeQfE73+BhrF4xeCXtZOqtuycxyDEnXJdyfJxeCeaVjwcBNiQIkHDoIvxoImSLzd23IDknQQ8yiJkY8PmSLOmk3H+AV0vuF27nvHtxCcm/COC2Y62oSCEMNv2cHOv1pyNWFD0+Hq+a3V8gdGzAw4hc03S7utTlEhd24E+IsNPpqN/vpw1xvqo9GAx0f3+fNu9d8qBLms1mycar1Urj8ThV1f1+PxEwxQ3XwK+wI3FZFB+e/fDixQsdjx8eJMTDolyqIrnho/gGMeu28eLpOXyy0nVnKMsytfPSUynt+l2ubfjRC+B6l1fRrlFCNjz8BQ0NwZv35l81ZcF4IEmn0zn7rJ/LJCmQOX0Tgt8zLqojt41rbE42jN131pkDC8nTo/wIlssfZN/cpji52/KS9gRyCcRJgNe9vfX5e3IhwXr14icPcGKu660pf3JfH5OTowOf47A+CZFr+xy5LwHiAeYVro8jt01eneQJCl+j8oVIsB0bs67t5lW9d0d+X66Zb0y7rMB487W/1B0gdfiBfe/a+v1+8j3pqbPiZBEkTcHlX3xB+/TxuP7r3QTSgHdEHqO8jjZPAUFF6t2FdK5psx6cevIjll4QuNwJcTLuPBliK0jVkyNj9SfKIXG6NMSaXcNV0l2tVmdlOmSSOzEVK+TiJEhFPJ1Ok4N6lcDEmZR/5nR6esoRi8fRMY4osRlAUmAHnYfFlOWHrxFPJpN0cJ7s6FW5a7s4L3NkVx1tCeNiaOaA47mzLhYLzWazdGyMStEfJedO76SXt4uM2x0tb8u9dXXkmjtE4PPxzTcPbD/TCSG5LYC37E5Yuc7phJzrabnNuRaJFr9Ea8VW3oE4kTnyKg8QaJdOPSDx+Dy9is1Jz5OeS1VuD9aWMblk4evllSnXRDOl2if5+ZPpvHrm/RAuhRNP8WKDF1JyfRp/9sTqJOu2YM28s3AiYk3q9XqKBUiOa1LA4aM8UImiCImQ1waDQUp+yI+9Xi+RPsUCfodWXBRF6kY5Qgf/4E+sARq4d6e8x/csPBH8Uxtpk8lE/X7/TCj2G/P1Pwbvj2bzoy4QBINl51HS2WYIE8ER+Fonz98sig9n8kajUdL02DXHmb3CoX3hwR5Uak4CXoGhweZBKj09HIfFhAC4L4nEvznHN88eHx+TnuztvEsJBIdX9r55SADgDF6x+Xjzf/t65e09gZNLIPzOs7YTopMWr7vU4AfEvevJ9WVex2d8Z/h0OqV1zf2JIIHEvPWbz+dpPrTUBA/zdjmDcbMmftwHMvbigPEzduaCHVwiye2ZJxeXXPg3iSOXJ/Ik6nYlYTNHCBNy9v0N3gvZc5/lcpmkC/ZX/OEzbJTmHYzr7rlvMNc8meXdjR8TJMlBnDx/43g8prPpp9OHfRl/UDhdN18DJ+F4oUHh2O1203N8d7ud3r9/n67jc2FsfD+Bb++xoZwXEXQ88/lc13CVdB8eHpJhXdv03X7IDYYnC+atF7uhtDxswPnzTZEZvNUnK2JsyM13i2lX0qRsEwJ4oEC6ZGIWPNdvMWouF+TnYIuiSJJBo9FIi7JcLvX4+JiIAP2IB+D41wix02Kx0Hw+TwTFWCFfNCQfLxVOXql7lYHDEzhOoF7p54SIw3oV52SQX9/1U7e5V8G+OcYOOtdl7TiD7fZ3nXG73aZznq63QjyQRt6SSudnh/1YJD7rPs/r+LVX1bk+z/v8Ormu/5zU4W2sn2hwoubz3m4fDk+PPvQuxX0mP7VB5TsYDHR7e5sIazabqd1up403SAYbcHKFe7ucgazjvuF2dF/zwiPvivx3JAnAOnLPbrebzi4zB/ZxuD73ZM6u1SKXEM9wkm9g0vHQCTkXenfMv+fzeeLN53CVdHOpwMtuqgcOwvv/CiE9VQEesPw+/51XnP4e/3onmYqNAX+ClDun9JSdvErwb5V42+EO4hsDXpHgBLRP3uoyVv9ShH+bBqLpdDp6+fKlvvjiC93f36eNNpyKz7vE4JWAP6gELQ7ichtiJ5+rJxnfafVA951+DwAnFdcy8xbcCdN3uD3wnNQ9wCAa14s96SGveFAzZyd/lzB8TX033OdHC8zf83GxRlzXq24vKnI93e3n88g3M7GhE5T7cV4F+wkLSJDkxPE39lDwQz/CVJblmTZ/f3+vL774QqfTSe/evUtVvf/p+xK5dMWaIXV48vHYcd7wihaC40983ROc29G5iG+kcXrAu0t/Pi929LX33+PjbnPWwcmUo6f4vPtaPkcKqedwlXRdiM9bWiqs6XSaHMGrEa+I3bDuqK4PMyEIASLDkDxoh7N6LPJ6vT7Too7HY5Im/LjW7e1t0oYeHx/18PBwlqXyYPGAZTzM0TMcxDmfzzWdTtNxtHq9nqpfHOzm5ka3t7fpaVD8zxJelRZFkfQ2dFzu4d/sw+H8oTKXqipey6sQAiRPMO6MeSXmgcbnGTuOxz3924XYMj86xRj9UD7SkuuTXnH7SQZJZ92KJ3oc3w/g51+G8Q7HW3C/B6cCuD7rkssQeVXverJXxz5Wf42E45ttXkywn9Hv91Wv18++Xo72zekijjgyD45mEnvoqXReLuHxNXX8k70QYsnj2DfHWGs61ZyQ3C9Zdx7kjyabPz8DH6/VamkDiw04f5SlfymHrtrlDpeH/HSIV7XOV/gunTmdFxILvsl6Oz+SEK7hKun++te/TuIzAjz/HxG6D4bt9Xrq9Xo6nU4ffc3WDSh90F9ms1k6d8qXAjAETtfr9dK/V6uVOp2OfvnLX+r169caDAaSnp6+dHt7m4R1/q8wRPBer6e7uzuNRiMVRaH379/rb3/7m8bj8ZnOSNCxgP7cADLYYDBIkgjO5TIBtmk0Grq5udFoNEqPKPzss8/0+eef69WrVylxOClhQ/9/4haLRTqIj0TT7Xb14sULDYdDnU6npBv7A6kJiFxvomvgnnlFhgP68Tlvbf3ba64P8jpVmH8LzCtNr0793CXXXC6XSV5hDjlROSliP6+MaAs5StjtdtPaelfmyQYi8aOOfrLE/cQf/cg1fWPMiTKXItzWrAHJM5d1uCY+jD9J+mivAClgOByq3++rVqslgoWUIAXOuPOtTZ42VhSFbm9v9fLlS/V6vbQ5xbhZKwjeH6nq4/dOk/hlXvjJ3d2dfvWrX+nu7i758Pv379Pa89wLnm/Bfw11OHx4XCrxjn/BD3d3d7q5uTk7asb/ztJqtXRzc6MXL15oNBql/78PTiKmfZ2xERviktLXqCm08F+O8t3e3uoarv7HlJPJ5OxFd1KvCP01d7xLrwEPPn9//j53UOm8YvLf5RLGJdkgbzfyVpRKxMedj+XS9Z+zQz5PH0d+bf+st5/P2chbWe7hdro0h+fGfAnX7ODr/GM/f+n318aYr8mncGkNL93/x4zvufvk7/8xn8+v9dwYgPt43qn4Na75Tw6XA1w68Cr9U37+3Brm783jmzjOJca85fe2/5KPexy7nfJ5XrLRc6db8jleeo2/5xIlGI1Gzy7+VdKV9MO9PRAIBALgWdL95P8ccXaVH5i5f0r8HMbwQ3CtUnf8XMcf+M/Fp3z0Od/+ueDnEGM/ZgxR6QYCgcBPj2dZt/bcC4FAIBD46RGkGwgEAhUiSDcQCAQqRJBuIBAIVIgg3UAgEKgQQbqBQCBQIYJ0A4FAoEIE6QYCgUCFCNINBAKBChGkGwgEAhUiSDcQCAQqRJBuIBAIVIgg3UAgEKgQQbqBQCBQIYJ0A4FAoEIE6QYCgUCFCNINBAKBChGkGwgEAhUiSDcQCAQqRJBuIBAIVIgg3UAgEKgQQbqBQCBQIYJ0A4FAoEIE6QYCgUCFCNINBAKBChGkGwgEAhUiSDcQCAQqRJBuIBAIVIgg3UAgEKgQQbqBQCBQIYJ0A4FAoEIE6QYCgUCFCNINBAKBClF+4vWiklEEAoHAfwii0g0EAoEKEaQbCAQCFSJINxAIBCpEkG4gEAhUiCDdQCAQqBBBuoFAIFAh/hemYVv+03RHUwAAAABJRU5ErkJggg==\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: 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: 11; 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: 12; 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: 13; 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: 14; 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: 15; 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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3WzUaDSMqxkz+Co++2WyacmIIKJQlSaJ+v69araaHh4e93DF5NkIaBBdSgfDyXizK64sGgDVjLbw3wPdRxCRJlGWZ5vO5eVNcm+9iHH2u0pM6YyeiQMFXq5U+f/5s4+l0Oup2u1YTYJ7k5Ha7nSaTiaUUiAqQs/l8LulL+IhS+GIo0RMGFCNKqgFDhUwul8u9cXgd8QrsjTn380SKzOQdE0if7+LFQbakowqFgjqdjvr9vnlYi8XC0kyQAWTMd5E/9IwIFHmlUAeR+M4Arkf0SiSIhzkcDu1zeW8eHW+1WkbwRAM+kmG9cG5qtZrW67W63a6tAQ6bXzd0hmt6r9572RgYZJJx4vnDD7PZzGTEpxa3263JPdkAXl/Dq6TLIngFoV2CsIZ8ExVdhBtPsVAoWOWVwXqizbf5sMnecrRaLQsjvdVut9vq9/t7lWCMgi8gIYyE3/V63TwAFpmxsbAINR4AQt/r9SxE8YrL2DBMzA9BINzD67q4uND79+/17t07y1FimalA+zHjEfiN7na7Vim+u7uz3LT31PKpGO+tIEgoo/SUEpG0RxQ+L4zSeaWRZAqDp4vgEz1wX1908/cmrUCuGqWmQIbBWiwWZngIp+mymEwmplSQiS8KkrphHXxO0ntCrJ83IKR+fHqAPfXk4kNQr6jMPd8VwTrgYODlMjZSYkdHR9ZRQ5GQNAo6AuEuFgvbK8gFp+H6+lofP37UeDw2Y4ch9QVi9sZ72D4S7fV6yrLMHBn0CQL1soZM4pUj84vFwmo48AT7gvyTq0Xfu92u8ZHvCPH5bN+dgOORjzCJKHyaz/OWJEtzEDXBC3AhqUJkjTG/hldJl/ykZ30fpkCg5Jn8ptOKgyf3UhKbyXkP1pMEeT4q4LRykEMi7+yr/FyPz0IG3B8lQ9HL5bItJkpCrgkBhlTxAhEU77lT5MoXJnwahbFRGJhOpxoMBrb53B9iYdyesBh7Hn79UOJ8LpW/owS+OOe/A8l6QqKAASHMZrO94g+pHa9IPmeKp0/rHq/VamUk2Ww2NZ/P9/ohvadHSEdURQhIwZMQFIVrNBpK01SPj49arVZGGigTyuPHyfgZK2SDN48n3Ol0TEbIH3ov1he8kDVIhM/4CIKxQeA+f+n3D+Ddse6Qxng8tq4Nn5+mWD0ajUy+vC76dKGvTXjdInXDONGTx8dHGxck7yOsfCcHRhj5Qyb5m89ho7/In88dwyGkGDHakHG+QO55ACL23UroKq2NeM44RRgVXzijU4Sx4mC+hK96urvdzirEk8nEvD4Wj0l56w8ZISwoIpsGwfmQCiVmw1mUSqWiVqulwWCgm5sbq476BeTl84++3xIPJk1TayPzRRzf+uKJAe/y4eHBlJ8wiXt6L0eSebp4XrxQbIyEz4FJTx4R3iytWavVStPp1JL7fJ72NkJoiIqXz/liEPCavBHiM77Z24eUeJ1+ruSXHx4ejDApJE4mEw2HQy2XS1MSL4SElqQVICyMDt4Pe4JQ73ZfemA92RNG0oFC5wseoM9ZkmZAVnu9nlqt1l57T7FY1Gq1spY7vDnyxt5ADAYDa6eEzLzXiKHzRVz2DhnxkZvPFZMn9PsznU6NJNAfvHZfrMaQSdoLpz2JdTod9Xo9S1nR7gTp5KM4/t8XnHxuF71ArukswiDxOW9ocMiYJ59h7r6OwGe8gcJ4SU8dQ+yHPwvA2lMT4D4YKRw5IqJ89O1J2f+d+6MfyHa73f7HPF3yNj7PiEDlE8+SjFyZqO8RZGAIESSDMHpBzBMRizYYDIzkCbPoA0TpWTg8DRbI58LwwhEY5rZYLPZye5AJHhQhrbfWKLFPMaAEeBKQsM+Dt1otEwSuQ2qENh0EaLlc2udRTjxwQiQ8MoyN947xoBE0WtOAz9kh2OwRpICVZ1wQImtOJDSZTKwNiXA1b/khJKrD3A+iZj0YM/egbQ+FYs18igCvm5wfBs+nfnxnh7R/jp7Ujv8eRIRCYggxZr6v2qcyvAfrc5reOPpcN3rg9w8nJ01Ta3VjbX2nCutPncSnLTabjUU1pCoIl2mtQq7YE4A37feBiIv14vroS5IkexGPz7lyD9KOeJO+4OVrLDhnGGF0l6JZsVi0tkPv8KFnRIs+7eDl2xfDIFh4iyje67zfR5wSzg5wL184fw6vkq530xFMHy75UAmBxruEUGion8/ne9ZhsVjseRl4Zz5H6gtBklSv19Xr9cxjZNHo5fMVXU6xUKzCc+U0DMrHC0+OwhBzaDQa6vf7lmIB3lpKMk/UExWEB8GhUBQifRiKkFIoms1m9j6K5SvACKgk83gIzUhx+AiEFjGfY2QehO7P7TGKzzrd3t7a3tfrddvjx8dHO7ThC5jcAyPN+lOE8sU8DpFITzlU5rJer+1v3BsCJC/PWlEd9wdx/PtZlu0ZNW9wpKc0wHa7tRNzg8HA8okoGtEI9/QpFuCLYr7XF3nw9/Py4/WL77PnvE846w0kcoS84A3S2ePlaTqd7vXE++KXNwpcF90mKvHph2azacU8PH/qEp7ofL4X0kX2cEwgcIwCBEieH/3v9/tGqL5gzMtHF3ikdEKRikAGNpuNHTaCo9DvfCTmr8leYmT9/r6EV0l3NBo9fdC1cmC5kiSxQfr8JV4unyXvx2LjzXFggXCEghHwIUw+D5skiVqtlnlRWHhIm9CdlAHXZdwIHQKKMHEt2l7q9bparZZ5CZCCz+swPt9m5av0WGnpKbTEO4DYGQNC54tgKIMn4Tz5evJAqRAaxuIVDlLm+hQbSbew/hDYarWyI8aS1Ov1rKuCNjq8IZ9r9/l2SdZaiJzQSytpL3wnPeDTToSwFGHW6/UeUZPDpZPF96Hi4UEWdK74Np80Tc1LIe88m83MG6cAxGkn1oJUA94k3jfXhfjyBtnnMf173mgR/iJjXr68nPmUBmtFkdH3pWZZZvrKfrHXHCjiOuhePtzGOfI5TNI1pLqIBCg+Sk91FnQXoy3ttzLSxUIayxMphXFfA/F5aZ9KoeANEd7d3VkXw5s3b2xtmBPrhWdPegJdh6Tn87ntG8YZIiZKeg2vki7uNQNK09Q2kAHSH0u4S7HNexbHx8eWWyIMwnOEgAaDgW1CmqYWlhYKBbOcw+FQ0+lUpVLJSBWF9pVVxky4g/JhJX0fMXMkN+oNBd4VJI/3Tg4O4fP5WMKpdrtteTKOALN5hEteiAqFggkbgggxQ14QIApI6sbnBX2+m/wfQuFbeDCEGAbfUoQy+qo1/zbB+S+rjxxQVCLXSPtRPh2DcWR/IE/vnUuywggGHuPBaalGo2HeMkpFDrbf75s36osoeI6+CweC972bEC7zpHLuCyrMCeXm+5L2yBPZkZ7akSBF5M4XLdk/xuQ9QOSzXq+b141nSSpws9lY4frk5MRaubgW4bovnkHEyJg/nYhBgxDxUH27FXrmvUZIiqo+82UteRYKxhr98tfy3jZjZR/X67UeHh6McDlKjGGGO9BXHiMwnU5VrVbNMJOa8OlN7uuLd77/dzwe23rQ757vW//WpOtbPmB5Tov43AwCgpXnTD6KcHx8rOPjY+12O11eXurm5mavNw4h9ATa6XTU6XSMyIfD4R7pHh0d7YVZnE2XntIivlpM7hbrR/sRHiLVXEjD56Ek7ZETniIb5HObVFLpHaVDgXXkur41ifv5SjmE6vtG/Yu1ur+/t0JXlmX2d7++kC5eLmP182LdfB6SvfGKBBEmSWLpnd1uZw/ewbCRZ/bHbH34hyIzFwwW+WaInMIUXmWn09Hp6an6/b4eHx+NxKUv3jcPUPHPd+A+rDOygBfnc5QYLsbaaDTs5btW8LjJ/xMdMDe/fnjaGHC+44n+OVmGMPwJunq9rqOjIx0fH6vdbu8V0iA4nKPBYGCRKPlOLzteRjCwrHuhULD0jE8JeOPlr+O9RdJazI15EjW22227h++fxhnyhTdk03eZkN8fDodGcq1WSycnJzo5ObETmzzkJp8+Yq6Q7/v37yVJd3d3ur29tftQGBsMBup2u6aTGN12u21/x6FBv7816XrGxhLx1CMGwGkhrHatVjNPloXjPV+Nhfx8bhAPyIdEtMBwnt57XD4MYnMhAvJPvhjFBvv2LhYMhSeFgcWvVqvfeLCGz71hhb0l7/f7ajabe/lb37qSJInevXuns7Mze1gJeSAEH3LD4jJmhNt3avgCjfdGWReIjjlwL0+2GA+v4Nyf9UvTp5NyGCovyP6Umy8e+TRI3th6AsqnPHiiGfk87t/tdjUYDIxEUHyeCFUqlSy89QYOj9KP2YfprAVrColAWkRLKBdpIVJVyDPve6MEqXuSQwYhakg5vy/5HCFr6iMtn5ZAVykeeQcCknn37p1Fexhh9oenieEd40xgpHzk5AuieKroMlGTpD2y32w2VhT1eWJfrEQH/b7l5d2Ph1Y40hfcAxktFot7LXSQsCdMHMn5fG4Gzhtrn6tG3niGBHv0D3u6nEqBOHm0n3/cIJMnFKGCDAFQtCD/4g9T+BMltJGwKFRpr6+vzfrgcUNKLBJ5FAgFY8Dmzedzewwh10fgfXuJJyTfMgWJ4834tjeURZKFXb41iK4InxvC++92u3snj3xblic8lJRDHZvNxlrffGXee1fesnthyFfv+RxrwYEQruPTJpCYN05+vMyVPfWGljF4MmZMpVLpG/k4jCTEgmJQXKlUKppOp3vePflP2vV8B4cPGxkH4/fExpxZD/9Z3vPdDvlwlL3iPd+vnO9y4YXMeLL1aRP/b/q7/WMXyd2TS/SRmicXwmWeJMb+IBe+80F6KpAhgz7thbwSCUK0PlLz68JcSfmg6+gc+kVtASLDAfDPkMDLbLVadpqRJw5eXV2pXC6bLOMsEIHi4PHUQR7YhWfPWjF2rxc+isE56na7RsbsN4bkJXz1IeaSLDfHxrEohAm1Ws02DO+R45KlUske0Qg6nY7ev3+vSqVij2EkZ8dj3Ci2fP782Yol5Gs49kuBBzJFeb03gxcyGo2M8H3RIl+g4zt4fAitP/LqH//njxVijHy7EsU6f/iAz7FB5LbYUK+Y/mgvnRheAJ8jADxv74175UKQ8yGwt9D8m+/49fFHUDHIkjSdTm0v8IIwKMzVpzrIFXtyw1tcrVa6vLy0/LrvDvnb3/6mT58+mWJQwOGZyFyz2Wya0niD7nOvrLH01IHCexBEvqXM51d9QcfLEfPmOz5V5/fKGwbIyRuK50geMmFfiAToYee7GDf2U3pyGEhjMB56av3jU8l54tgwb9aUsVPYYg98BZ+95ns+yoFYqS8QXbKedCuw73Rb4GV2Oh2T7fV6rfF4rKurK9vn/KlTUhj9fl8nJyfqdrtaLBa6uLiw9cXTR/fRNTig2+1aqtMXFtFP+sVfw1e7F1AsT2gsuA8x8kqFxfMndnxKAatzc3NjpAsZUUHnMYxYGkmW2PbVWPpbfTjr8yq+4urDIW/FfNrCt+X4AkOpVLJ+XfJ0CA/nz0ulkh0O4Fmc5Byr1ar6/b7evHlj5Okrn3gzXrG9t+Sbyck5+QKUJ1zvpfN53zfJXPmMP0LsvSzWBzngPtzLE7s3EH7NeY/HUFKAKJVKez3c/pgonoukveO3m81GNzc3Wi6X1qvJYZrlcmm5X/o/MZAYbV+spK8V8iL/7PPvEI733nxEwnr79Ud52SsMvFdSSMh7z/4e6JuPAHwdALnYbJ6eQ7vdPj1RDRnCAPiIhsLumzdv1Ov19PDwYH/n+dXsUa/XU5o+PXzIt0UhFxzTJiryRhrvHhmgSO4PNzBv/h/4gzFeD/AyOb2IA8L++0dDIhccJCJtSUoU5wivHfnw+4P8+IcQ+Vw7eoTHSy75W5GuF5Z83os2KA4O0H/pQ0XvefnEuidDrufzVggM+RMI0FdE8UogaJSSzcmHkP4JZL7x3Xt+jMULLMLu27SYg/eK8Gq9B4swoNC9Xk8fPnzQ+fm55Z9RUl+wonUKz36zeXpgOAoD6bIXvPAmKGgguKRdWKv8+P3hDXLBKKuvdntlYp0wQpLM4+dUE3ODlHx6gb+TPiA/67056eksez4Vwmfz3injgNh9y5IvFPoUDGPxqSLkmDXGW+W6jJN7Ez3w8sY9TdO9eSBrPpzPF9uQTdaGe7PvGHT+Sw6yUChYBMj3Kcyhk5VKRefn53Z8F88NWUbOOJ2HfnsnzLcwkpP39QfmyPqSlkK3KPjhKVMnkPQs5/D9QqFgrWV0o2DcaPdEToF3FHwEQL2JqBGjgPPGPnK0Gv7wKQe/Z95hewmvkm4+B+Wt/G63s4dnsOgsHmSDkNOXR5sXRRHfdsTgWXBvSXxuiBCBI6EQaLfbNeUix0uhhaZn8ss3Nzd7eSpfcPJHNlFcLCL5JNrQGNtyudRoNNLDw4NarZZ5/1wfkur3+3r//r0d8MBYeQX2KRry1kmS6Pb21roUqJpyqmg4HOru7s6OK3NfSMwLuzdG0pMhg1i8t48MeOOJ4tdqNTO8eM94Er71D1KBWBF47z1T1SY/yWEa9hsPA48Ig+WLVhSQfE63UChYVZvrQoQoH7KHAcc7R5aTJDFZYk1RdowrXlJe+bwO+S4VgGJTTCakp70QD69c/vLMWkJi8o8czV+tvvyKyMnJiZrN5l4+0h82IWQn4kAe+RECUhuQJJEmxEsrmzc+kO1ms9nrtacG46NeT3YUtug28IVHUgi+Dx89o2ZAqP/4+GiPX4SffEGWucMzyBJOEMVQTlLiqNAK6SMyiJefg/KOJfvlnbJvRbo/+MEPbJCcmT86OrL+P1ozisWn3xIqFL48RYunyGfZl0e/vXnzRoPBQMVi0frcvGdGHommeNpAUGKKJ+fn5/rw4YP9FlOr1bI8DT8Gx+m37XarZrNpv59EeuDq6kqXl5f2SwWQyXb75VGMFHBIgaRpaifE+PkY/1wAQmdyTe1226qoSZJYy9jZ2ZlVjvn5GF9B9/3AGAxSCJ1OR7e3t8qyzFqj/K93fP78WRcXF/aTKf6AgfTFyyN/7vOIvtjCfnjP1RdMpaf0jidI75FCSIRaKACy4kNx8oq0B5bLZT08PBjBcfiGgg+eEcQCYWHU8PBIVyVJordv31pekuKjj8pQHB/es8/IqH+UKWNi/sgB8ITL+NAfr6SsSbFYtGch+PQRBEMXx/e+9z2dnp6qXq9rs/nyqxg+FXJycrKXtoK4/IsCJ+1kksxhIDJqtVqmq+Vy2X7bL8uyPRLyD5/BqfK/xEJhiXY7UlMYGn4DjZ5rdGw4HJqu0YcsyeSMp4AR7SLL6PrR0ZGRKffECUQeTk5OdHp6qvPzc8sLPzw86ObmxvSY1Eq329Vut9Pt7a3u7+9Nx3EY8dgxvIzhNbz6w5Sj0WjvTb/J3mpJ+7+mma/yelcdwWSgvuj1HFAIruWJwhf1fJHPf97nFgEK/Nx989/1xabnxsPf/Dq8NHbWwa9Vfmz59fZj9qGxvwa5dp//8mPnM3zOj9l/jr/lx5wfi///l9brubnn19l7P3lCzl8vv86vrZW/b55Y/eu5Mfn7viRPL43Jr1/+sy9dS9r/Jdv8HvB3L+Pso9cxn6d/ba34rr+GT3Pl5y5pT0/ycpD3Xr+2XgA9zo85zxt+3bxscA+vx8+N/bn75h0O5pi/d76g6dfB61O+2ClJ3W73xUG8SrqSXn0zEAgEAs/i2/0acJ6QX7Mg/1N4zij8K8bxNbzm0Xn8O4498N3G12T0Jdn+d8C/Cz/8d/Q8PN1AIBD45+NF1v36D/oEAoFA4J+GIN1AIBA4IIJ0A4FA4IAI0g0EAoEDIkg3EAgEDogg3UAgEDgggnQDgUDggAjSDQQCgQMiSDcQCAQOiCDdQCAQOCCCdAOBQOCACNINBAKBAyJINxAIBA6IIN1AIBA4IIJ0A4FA4IAI0g0EAoEDIkg3EAgEDogg3UAgEDgggnQDgUDggAjSDQQCgQMiSDcQCAQOiCDdQCAQOCCCdAOBQOCACNINBAKBAyJINxAIBA6IIN1AIBA4IIJ0A4FA4IAI0g0EAoEDIkg3EAgEDogg3UAgEDgggnQDgUDggAjSDQQCgQMiSDcQCAQOiPJX3i8cZBSBQCDwHUF4uoFAIHBABOkGAoHAARGkGwgEAgdEkG4gEAgcEEG6gUAgcEAE6QYCgcAB8f8AL1+vzfBU758AAAAASUVORK5CYII=\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: 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: 17; 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: 18; 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: 19; 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: 20; 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: 21; 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: 22; 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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lkRBKAymwv5AMZInykAbCOFSrVduL4XBoXlGz2TQDzHp7Q44HRU5Ykq37er3WYDAwgkFhMGh8xtpiWHgO5OALnj7qYX5+TzBEy+VS2+3W1gZCRx4gDGSRazgm+Xze5PJde05arVqtqt1u27qTxkOf8Oy8USR6RG8qlYqtP2svvTGAyFY+nze9gKggu2q1qkwms6ebGCtfD6B2Q95+OBzu5aLRX1+sXy6Xmkwmthb+u5B1qVRSrVbbixxwBhaLhRlIUh04cF7GvUyTxkE/0HeMIA4UjhXcV61Wn6LUNzL2votMClKgEIEg4nFKsjAIQuD3WHm8OIiae5Gb4VlMoFqtql6vm2JKsuchVNyzUqnspUEotBAmew8JbwilXa1WRqAIH+Ef867X6yoUCpa4Z3HJgfqKPc/nmZ1OR8vlUv1+X+v1WpVKxUJDPB08UQpFg8FAg8FArVbLChf5fF69Xs9SHXglrVZL+Xzecq3MhbF45fb5S3/dV5gRdgTeF/HIjWI4eM5kMrE9J/RDUVBcH6EwRjxQDEEul1O5XDbFIkzEg8jn85avhcgwKovFQoPBQHd3d0aGEMRisTCZgGSY63q93otsvKJ7YyZpL6T1is+8+R5OBEp/SJLsB0bP5975b4ifdaPoDGkRKWSzWZ2enqrb7RphDgYDPTw8KEkS804hdUL1+XxuEQEpvna7rU6nY3ljoghP0OSVkSsKg51Ox/Yc3cTJeNd6FotF0xH20xsL0oelUsn4hhQVe4ps4QkjP4wNQ8h8kyT5wnh8hwPRHo7bZDKxOk2lUjFDwlhJrfjOI2odX5l0Hx8f98iEPAwEsV6vtVqtlMvlLPxDcAjpCZ1QRF+sQejxCvAmEPBisSjpbf7UTwhlIdziO5A4C0OY5gUXSwQ5omh+LN6bRwnYUBLrhyG7D+VQwlarZfeZz+fmkV1fX6vZbJr198S7Xq/1+PhoyoC3PJvN9Pj4aDmyZrNpn19dXen+/t7yWBAihIaXSoHAE6EkUyYfDkIKkIVPYdAdgBH03hReIv8fkkJoCde9ccZb9KH9eDzWYrGwIlkulzMyw/jhSeExjcdjCzWRJYgQWSDnSC4cgvZOAWOhgOJDaRwDFJv95TNv6Jgn8+K+hUJB5XJ5L32w2+2ssEMeGIej1Wrp8vJSpVJJ4/FYNzc3Wi6XKhQKqtVqqtVq1k3Q6/U0GAxUqVQsjUXNZDwe6/b2Vjc3N5rNZpaqKRaLOj8/V6vVkiQzbt6j9y1ZGN35fG5FUjxEnzP1uVy8S8iUfaFzif3y6Q6es16vTU8gUs8FvgMBmaIYzPoi20S5vsiJ8fcGPZfLqdFo6OTkxDgDRxGjO51OTQ9IdyHnT+G9pHt9fW05z/v7ew0GAy0WC6s28/BisWgJcCzdcDg0q5HNZvdyKHhaCCuDRrgpSNBWBjmRsIYs/ObjIfAcSNd7btyXsMsXCthsr8yQLyHGfD7/QljpwyLCDTwRLPlhTgqD1O/31e12rSUKj4gc9mw228vVQY54aczV5+F8NwLrgVeEwOMtsB4QKnlOX4BjnqwLOTkUk1wz5IcSsRbeKGGQvUfoc7ooNIaTVsPlcqlcLmfkPJlMbJ6SNJlMrODpw3nSSL6nFLlgHVizwyIKkQShK0pG5Rqy82sAoeJFIU/e6zos/Ph14JnsD0SAbHNf5gEJUvxcrVa6ubnR9fW1ttutFdT4De2U/X7fCsjS29pMkiQmt8wVeV8sFnu92H5NkVOiXGQZg+xTOug1ssja+7QMz/U5Vkl7qTlkC3mt1+vW5YEHyhqhJ8jCYW8y3/E6nk6nLcIlrUSk4GWb7/M9CqZfmXTxqAjbqNRBOv4BvvBDiEDoTmi3WCzMuvj8LWQ6Ho8t7JFklqter+vy8lKnp6caDAZ7aQjvtR0K0Hw+t8KJ95B6vZ5tPp4L4elisVCj0bAUBMpMyxBeHCSN90/4wr/JZGJjms/nZoTIOyFQKATERtsMleHZbKbBYGDdIhDTeDy29pt0Om1ERPfCYrGwohQK7JUIYcVbR/C8cuNtES6j5HhNj4+P1nFBmOo/R1FQknQ6bVHJfD43GcGY+KIURgzSfv36tUVOPmyfTCZGFhStIG3SCSiEPxxAHhLvENLkOxSQaFuD7LfbrarVqlXpvXFmvnzGumGIveIj7z71w+e05jGuSqWiyWSi6+trJUmi0WhkfdM4RYPBQKPRSHd3dxqPx5bbJ5fpC0rsIffC42W90COvYz5NRMFsOp1qOBxaXpk0Q71eV5Ik1uqJR8ozWF9ypOim90J9vt7rN3zhC9XtdlsXFxdW7PbnArbbrRlOn9rEoyXqxkMl2vWFTLxevuONFbzmO5l8jeCvJt12u23hqc9fAAQLhfJkgQJvt1trj6GNi41lcuRrEDKIBQKqVCo6PT3Vhx9+aMUsckIoLxbHV5B9dZbQEUGbTCaWKiD5zyEHwnN6hQn7mT/5aH6Dd4TXRHEIQcHzpyhE7g1lgDRoKcNzYqxEFe1220Ln6XS6F0ZKMgIfDocWHpJDZp19DtsXalg3FI3PfPHHF1IRVLxY1gEPfbVaGfngJZBXp8fbh5GMg/t7pUuSxO5LZIOXhQfqPWaf6kHh8cJRNPJ/kC1joZ3N5/Sq1aqlxUhLDIdDrVYrI03f2eHzu8gEKQY/NuYJeSAr9Iev12sjOHrlMf6NRsPqChSyHx8fzVOlc2IwGBjxEB2yH4PBwA6+kMrzpMtekXZCfpIksWgXHcOQke7zvAHBFQqFPW+S4hoRB3qFc+DTj76/n+c3Gg1Vq1W9ePHCDj95J8u36bHf3qslh0tnk6814MGzXpA18g4wrDiWRFhfmXQbjcabL7lqrk8BHLYGQYAQF0ly36vn8x6LxcI2mBAY5QY8L5PJmEVD8RBGLK5PgufzecuZSW9zdv74IOEPm4TxQJl5Bt4pxR68Jt+/S2jFJqBoPh2AQOFRQ2ikHEh3HHqcvgADOUHSCCbpAMJwDBmCxHVIgpybL9rgRWC9WSvfBM7YkYtyuWweN4dA8Mh92xnPhLB9exnfwyhhGGg3ZD29QSa/i2H2coqS+LAfT5O99+MAXGMNIL/BYKBut7t3WAPPkqo+EZzfD1IIEDok5Ytr6JAv7NLu5IuZ/B4ZoEru0y6+fuH7qokekQH0kp54HCK//77G4g8CTadTrVYrnZ6eGvFhYOllZR54r7647Y/L1mo1i+AwkD7XjeFDP4jmiJiomdCHCy/5Ni72dTab6e7uzggTDoF0k+RNSxipI4wlRT2Moi84e/LF2BaLRePNp/Cl6YXlcqlMJmMJfpSUnsp6va5yuWweCrkg8iC0ovgBctqEEz8UwQ5DG4SW8A1l52hevV43C44wIFS1Wk0XFxfa7XZWEGRhOJaK14zS0j+YSqXMs0L4W62WERWN2njREC65Il+wYc0Gg8Fel4P0thrum+gJMSmgvIsU8/m8pV58Lya5ShQPYcVA+motYTt7xTgRUpQALw7lwWOnXxiviRwXBpKIBkWHWPEu/H4QMXFSi1CNnl7WFANI2x/eFF4zQl+tVpVOpy09w7z8OPDApLepMcYO0XGk3RM+YTvVfVq7kF2fo+S+GGOiJb6D9+/XAO+ZMWCofGcKhUxf+OMaz4IEPZEQqWAgfHGJjqFqtWqdAcgrsun7V9frter1uuk2Bosoi/2oVqt7nRy0mNGzC5kxL47S03Z6+OqAYrFoheXRaCTp7elHyNH3x7MvpPhms5mkN1F8u922Yh08xJhwDMnjplIplUoli9xJ0fg2NLpxaG37yqTL4pVKJRNm35fXarXsfDoVZG+VC4WCLi8vzfLwfgBCZwSNPkwsFt0LeMG3t7f685//rFevXkmSKpWKkZpfaBaDbgk83n6/b0WJZrMpSXp4eDBr+K5Ugy/KYH0hGISHLgaKFFj9er2uVqulXC5n72Egh+rzwggGa0y1nNCQ7+MBVCoVU9D1em191IQ+6XTaTtT53C3FGYyTz0FCAAi2b+HD8zksPB4KNyd/lsulKTzG1Ldn4cmyRxTOPHniPbJO4/HYFLbRaKjb7apSqdjnEA1V5mazaREM3hbGi2iHaxCpJ168KV8g8WfxiUSktxEe8yQ0JgrBg4SsfJuZJ9BDcoW4Je3NAdIhtObe5Pg92bXbbfNI8aR9FwXzYSyNRkMXFxdarVZ6eHgweT45OdkjWG9IcayIaIfDoX2OAWSNpDe9075LAsPGuy46nY7a7bZyuZzpGs4OjhiO1uPjozlUyBJ6AnexPrRhckQYh43cPDrAerOO7L1/L8VwOFS5XFa1WrU8P2kgnIevTLrS2wQ2bWHFYlGdTseS+IfKQ2UeCwnJtdttSbIQ1DfmH4YytHeVSiUlSaK7uzt9/vnnevnypR3AaDQa5jESbiEAWNVCoWC5HgxBoVCwcIRFQiA5zIHy+1NXkA0kjSCjpD4k450KzWZT6/Va/X5/L6T3IbUvjqHMKBF5dJ5HaxBE7L0wvCNyVowVxXqX90t+0ReRID/CNNaNSAbBxrLTkdBsNi16oCADmUG6/vSUL4zgsaHM5K3r9bpqtZodgfZr22g09Pj4aGNH8NvttkqlkobDoYWmPqz2hVf2iy4FxulzyhgQjDt7RGsScjKdTk3+pLepKyJFL1feu+QFStREfHWfPcSLzGbfHANuNpvqdDpWG0iSxN5xQaqg0Wio0WiYnhKhHRp8X93P5/PqdDoW+r969UoPDw+2Tt6IQoreG0R2kGu4AYOZTqdt7O12e6/ISEsc/fboCY7O4ekwXsQEf+DNX1xc7L0bJp1Om+Hw60h96fz8XJ1OR5LU7/f1+PhoLWi5XM6cJ4rfpAXpn8egYLR9RP8U3ku6KBAHImq1mrVmkEuaTqeWoEYosOhsCBYH0vFFFQTPEyabJsna1Xj5BRbI94CyQJA4VhelRtjZIB/mIXjkSBFOwglJRoIIAUTmW1ckWbL+4uJC5+fnymaz6vV6lqZh7OSizs/P1Wg0LE+Ll0PagSb1JEnUbrf3cugYCubBZ3hJhyTvQ0CInjDXKwuKzvqybhgg//Yu9hbPCmtPNdfndjFO7BGExe9RUkLjYrGobrdr3mi/37fOgU6no9PTU2UyGfX7fctdk/PHa4QYUHgiBC9j/PPjxACzF7ResU7IAbLC+kBcXo6ZI2BvfCuUb2uE2H1+0hdpiUCQBX7ri7E+bYWu4NQ0m01dXFzYexjYQ7pwNpuNRWj+uYyFbhT02Pe2Eq0hQ6R/+C3Ghfywb+HjOYxDkkV2zBPvmjmxV3BEq9Uyj9wXg5k7POUdASII7kUtg730rX2r1cp0OZfLWUQ1HA7NMHgd/Uqk+/r1a9sYSV/IJXmhggAgAUiGRn8mR/hZqVTME0QpsGQUQaQ31qfX69mr2FACKvmQIl7acrm0IgdERMM4ng/f89VNX5Ahj+lJnFcgUsiA0FAkn6vCC5rNZur1ekYMkHkul1O73Var1doLS7wQ8Gzerlav1y003+12eyfX8AJ9qxf7440C++Kb9gHPhgxQKjo3IClf2PEFMtbBEz6f+cIrXQTeEHojyvy5FwSPHEIwPrLw3heFHN894/cKWfVpF2+UGD9y4L1y1sl7we9qaeK+Ptft8+r882uLYrMOvhMH3YKgSqWSnUQktKe1MUkSK06xj16uisWiFZ9IOVEwur+/193dnXm06BkvoMJoe2+eHGaSJHYUn1w8XUzS2x5biJgiJA4Se+07UXxbp3cMmEOj0bDTkLPZTLe3tyqVSntdV6wfbY2QKHPk7XibzZsX1tAIwB55TvN6grxxGpIisD9w8xTeS7pXV1fmwfjqHZ4ehTQWkwH6dh9Jlndk4enjS6fTVkEdj8eWB8KLns1murm5MS+XnB1vU6LKSKsVG0U4gZc7mUzsxTD+6CpjwLPi995DZB6+TQllkN6edMLCQnzr9Zvz/re3t3thMGEa4T6G5rDyCnkyP17ZSEiJcBIOQyh40pC2L0T5VARKz++Ar/wejoX1IMfLGmE0MGTcx1fMIVcMiq/cMwY8SPLaFFqn06k9P0kSM6AUWXy+mtcq0pJE+9phBOWLQz5iwotkD/FevGfPXnlj4ffOG7MvKJxrv2PvIFOIGV3zLVr+5JyP1qQ3xSveG+tTNd4gYIgI6X0uGTl+eHjQzc2Nms2m6fXl5eUesSLv3NdHEj51xv/fbreWvkEm6dTxvd2bzUb1en3vdJs/Hi7JCJE0CPLhvV3SEd7p8K8qhbPoJ+bkoydWrxe+7RDu4nWWrDPPwXnD4XtSBt53sd/v7xGobx3zVg9L7N8JSviKQGEBUCwUwr+aUJIVUPDyaLSHnMhp1et18yYoikAu9KCycD73CSlgHPBWKIgxH0jBn7v3Xg8CjAdSr9d1cXFhnvVkMtHd3Z0RBMLS7XbtOCfens+vct8kSawQQcHg+vraioeMqVAomFFj7niG9El6r88LJN4qyg25+BDSt2x5RXoXDsN2QjTuxR7Svndy8vbUEvekPS9J3rxfF4JnL3xbok9Xea+L4hgVcOSSe1BoZDzIq6/++2jjKe8FefYGE1L1EZUvyBIiHxbJeG4qlbKinT8kstu9PSIMsdCBcXNzo8fHR52cnFjd5XB+3nvebN68JObZs2e6vr5Wr9ezFrler2epGwrlSfLmcMrj46P12KI3yBtz8CkA9AsnA3kifGdMPhJDBlkb9puUEZEmxUQOkiyXb95b8vj4aOToownk4l0v56EThTFh+MjDw20+svF5efgK5++/9WpHBF7SXtiJMg+HQ2vY9oluBAjXPpVKmbAg2HiYEIAPq9kcFhzyxp2nMZxQlUoxYR339DkYNtg3ThOW+pyXz+nhFXvhQDEIUxmf9LYazcuwfYsKRZ5vf/vb+vrXv27P8iROfywn84rFos7OzsyLu7q6shM4GC/yVBCLP07MPuGtoSR0hXjrjNAxJgwaY4I4DveN7x8WKXwniVf4Q+JjfXy4T1hHBwnjZq3YQ+YCsRLGs3f8o+cTsjh8aQwyzpxoU/R64EneE6YndDxVfkub43Q6NeOGx0e6xNc+IBR/Uotj0HSIUNRbr9d6eHiwl5FzYKLb7apYLFr3C99nbuxVoVDQRx99ZPlTCmb8zr/hj/QFnnQms38k2Ucv7Df7hrwQpSAH7Jc/VAI5Eq35EB8Hh5w/tSUMAY4BByg44OTTLOyxN3y+3c/LAnsJaZN6gPeIspBbUmIYla9MuiiNFzL+sRl3d3fmHZHvpd8SD8K3uRQKBWtJ8W0lSZJYKgNB924+ud9araZnz56ZNea1gFQsfShCB0CpVNKLFy+02+3sz9QQYrHgWGaIhNYU6e2Lr/mez9VBknij7XbbrCheAGmVDz74QJ988olOT08lyU7v+XDSp2h4GU6hULA/DdLv95XJZCzFAoGs12tL6PtiXCaTMU8Y0vEtSoTuCJqkPaPie0oPe0V9mIlB8sTpjR/EgvcLwRNlHL743L8cmzytL8BhHH33gv9v3kiFl8WJJsgX4mBu1Bq8x+aVzzsEjOHw2Kj32nyXAOA+6AlEjFFET2gLJCo7OXnTsvXRRx/po48+UqFQ0HQ6tb/AQMvl8+fP1el09tJSjJv9ROYkqdvt6pvf/KZFkhSI8Mhp7+z3+/Y+a07BwQ/eYaEgLmnP4yV69fpFBxO5WV+Yo2iPgcpkMmZ88DhPT0/twAOeOp6tj16IVrxeMFby2hwUGQwGpue+fsRa8HpQOnBYU+/1+gLpU3jv1RcvXuxZV/5+WbvdthYtwioKQ5Ls7yNhoev1uv2dqkwmY2/Cx3uo1+uSZApCSEfiO5fL2Xnyb3zjG/rOd76jTqdjAt9sNu3VdiTxUWraj2j5uLu70+9+9zvd399b87jPa+EZ04aGN83RXpRtMBjsVXRXq5WdRuHvtbFG/BmbTz75RB9//LEVARFQ7yFA0lT68/m8Li8v1Ww2rV2uUqmo2+2q0+konU7r2bNnajQa+vTTT62g0Wq17M1IvBAG75ljw+S6yI9Kspy69NbDg0zwxHwLFYrHSSpfiGJehJnVatV+A6kgX/xdPAwyRtffj9+iuD7HDNnxfdILKBZ/L4tQ1ac3fNoLxTz0eFgX3yONF+uLk5CQr3ijyLzlzpNTvV63QxasgfSmDuK7cj755BN997vfVbPZVJK8aaOk7kGnxwcffGAHZvAiGTd6gbzyFyY4RkwdpdPp6Otf/7q63a7W67Wur6+tUIsR4yRZo9EwA0vUlcm8OV1GlEJrls+lkxPtdDr61re+Za1X1HeQceSF7iHA+tZqNUsvzOdz1Wo1PX/+XJeXlzY3ivd49PRxn52d6dmzZ6pWq9bW2ev19tru+Ftw0ptUK45ivV63SIwULOmjv+RE2nv/BPtwOLSLvkjgq8H+Op+TKzwsLniPyhckvGJ54F35e2FNUMjDZ/uKs68ocw2lwTr55/rfeYvJtcPvHOZ4n5on3zksSB2O+3Acfj6+ao4H4XOah/21/t7eUz18jn8eY/oy+PG+a9zvwrvu/679810Eh9/zv/f7/67rX3bfp8bxZfP133/ffJ+a++G6vUtG/Vh9rth3lSAPvpp+uN9PyZVfB/TL1258Ee5Q//w8DnXEz+kpPeKezBmP+F37c6jPh9dxBtCx9/ET4/K68dQ8D+/1Lpnkfoe/A/V6/UlFei/pSvpyiQoEAoHAIZ4k3femFw4J+S/xgv5/4ClP5h8JT3nrXJP+ccceCHyZjL5Pvv/e+Efgh7+GK8PTDQQCgb89nmTdp7u4A4FAIPA3R5BuIBAIHBFBuoFAIHBEBOkGAoHAERGkGwgEAkdEkG4gEAgcEUG6gUAgcEQE6QYCgcAREaQbCAQCR0SQbiAQCBwRQbqBQCBwRATpBgKBwBERpBsIBAJHRJBuIBAIHBFBuoFAIHBEBOkGAoHAERGkGwgEAkdEkG4gEAgcEUG6gUAgcEQE6QYCgcAREaQbCAQCR0SQbiAQCBwRQbqBQCBwRATpBgKBwBERpBsIBAJHRJBuIBAIHBFBuoFAIHBEBOkGAoHAERGkGwgEAkdEkG4gEAgcEUG6gUAgcEQE6QYCgcAREaQbCAQCR0TmS66njjKKQCAQ+CdBeLqBQCBwRATpBgKBwBERpBsIBAJHRJBuIBAIHBFBuoFAIHBEBOkGAoHAEfF/AbOnuRZnHIIfAAAAAElFTkSuQmCC\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: 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: 24; 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: 25; 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: 26; 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: 27; 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: 28; 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: 29; 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: 30; current eta: 0.5, current beta: 256\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: 256\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: 256\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: 256\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: 256\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: 256\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: 256\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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5fA6fzyclBDPU6XQqL80Mttfrod/vS3AwUBlUfC5VP0qn0+h2uzg6OkK5XMZsNoPf78f29raU1bu7u3A4HGi1Wmi1WrBtG4vFQn6Px+NBNBpFIpGQXXc2m2G5XCIQCMDr9UoGDzwvVWezmZTzPp9PxpMa6Ww2+5r+RS3L4/FIucufYUnJgNja2pKSUc3CPB4PAoEARqMRnE6nbArRaBQOhwODwQDD4VCCltn/crlErVaTzY0bGLVpapChUAgulwuj0UgkJMZHr9eThe7xeCRggec6WK/XQ7fbFRLvdruyEc3ncyEKlmXJZBLpdBrhcBixWAxbW1simTCzm0wmsii2trbWMstkMgnLsuQzarUa5vM5Go0GWq2WaMjcSKhVqpINSd7lciEajYo0Y9u2vDuzsvF4LORAkpnNZqjX65hMJjAMA4FAANFoVOJkPB4LoSeTSaxWK5EhRqMRvF6vxBj1Sb/fj1gsttY7GAwGUv5SqwWeV1VMbNTeBnVnxpyqjVKy4fO73W6Ew2GR9BKJBFwuF3q9HhaLxVq1wHlh0sBKwDRNxGIxWUMkNYfDAZ/Ph2aziX6/j0gkgng8jlQqhVAoBK/Xu1YhcqNReynUvv1+P7LZLFKplMwHiZfrQq2SXS4XAoGAaPbceIfDoXxfIBAQPdswDIRCIWSzWeTzeamwGF9cM0wgX4aXku7u7i6y2exa6cCMLBgMYnd3F6lUCg6HA+VyGY8fPxayVRsGJFw2RajlMlBJGvxZr9eLRCKBfD4vaf7FxYWQkCpdrFYreL3erwnoJGCSx3w+h9PpRDqdxuHhIfx+P1KplEgLlUpFgpSlNgnw8PAQPp8P9XodlmVJ+U+wdOfPn52dSeMxFApJmcOAd7vda00o4CvBfjweY7FYSHXAicxkMnC73VIC8Z34c16vF8lkEh6PB6FQCNPpFJFIBLFYDPF4XL7fsiyRBJgVDQYDNBoN9Pt9BAKBNYmAJMI5I+lNp1MYhiHfR7JaLBbyPU6nU96HQc13nUwmmM/noqOyjAuHwyIRnZ2dwe/3o91uI5fLIZfLyaJh1qRuuq1WC8fHx5J5BYNBGIaB4XCIYrEomzrwvAnM8pTv53Q6JT459+PxWDYcJgCMWzaa+F78Lyuu2WyGfr8v2WgsFkMwGBTJRy1nKRNRKiJJkoDUCpEJARubzEJDodBahWTbtiQAagOJn0/y5ZiQYG3bxpMnT2RNcC5N0/xa0xEA4vE4tra2kM/n4fF4pFLiJh6LxbC3tyfzl0qlUCgUJPuv1+vSKCdh8z353CRqZquTyUQkFM5fNpvFzs4OxuOxVHbklX6/L+uGiR5lHCZRTGxI6EwkTdPEarVCOBxGOp3G7u4uHj9+jNlsJhu3aZqIRCLwer0vJdxvJd1XX30VoVBIyh4GFncHNq8mk4ns0NPpVHZmEs10OkUymUQ4HEY4HIZhGKKHsNTgAmKgFQoF7OzsAHje0GPAMEC4SwcCAYTDYfh8PhlU7k7c7bjQKbgfHBwgFAqJ24CBFQ6HMRwOJeguLi4QCAQQj8fhcrmEJPl3fE/TNIUoqHNZlgWXy4Xt7W30+32RQHw+H8bjMUqlEnZ3d6VUJon0ej2Uy2W43W7kcjnJdBKJBBwOB4rFojTuuPNGo1F0u13RIkOhkAQlyyZm1mzsTCYT0ayoeam6JbNtZhLqojVNE+l0WjLfwWAA0zQRDocl+wkEAhKUdJ+wVGVJzgx5MBgIyZE4WAKzy72zs4N4PC7vxflg2Upp6tmzZ/KszOz6/T5KpZJIWXxujgPfj88QjUbhcrkQDAZlnEzTFGltPp+j3+9LOcp3crvdMl4cez4rpRVuNBwnEhpjdjabScbHzYXEGolE4Pf7MZlMpPGWSCSQTCYRj8fl86kfz+dzxONxac4Bz3XLfr+Py8tLTCYTITKHw4FYLIZcLofhcIgvv/xyrZRXZSqv1ytzYds24vE49vb2EAqFUKlURPccjUZSrbJq5jin02n0+32cnJyI1MV1TVmSSRs3l1AotNaQ5c8wrlnZceNjxt/v99ckCdM0hXi5+fZ6PZEqGf9MDthAVjdDuqomk4k0IGOxmHDMf4t0l8slWq2WuAJYilFfYUaYTqdx8+ZNSc9brRa63S6Wy6WQbT6fl3KQGQoXIwk6GAxK4NNxkEwmJTi4s3E34gAyy2UAkXQdDgcCgYBkdSR0v9+P0WiE2Wwmk6s2CNkk40RyMDm41JzUrJPifq/Xw3Q6RSaTQaFQwHw+x7NnzzAajeByuVAqlfCTn/xEdEJ+LhdZt9tFvV7HbDbD9evXJThoK+t0OohGo8hkMojH45hOpyiVSigWizAMQzYJ27ZFcwMA0zQlY242m6JvMUv2+/2SnajNBMo5JJd4PI5EIiEap7qhqdo4Fw5/npkgg596KkmInw1Asu/BYCAlJzd7VboKBAIwDAOj0UiaM3QuBINBaULyWZixqxIVACllmck5nU6Ew2EhdWYzTBoCgQBarZYQACsYEi7HnBlpIBAQSYRxnkwmkUwmpUFFSYEdcDaT3G43tre3kcvl4PF40Gq1xA3EJg+z7tFohPPzcxwfHyOTySCbzYq9i5rzF198gY8++gjlclkI3e/34/DwEIVCQWQREhD1eZIeEx3TNGFZluj6/X4flUoFg8FAiFAlN4IEHo1G0ev1UK1WJXlhEsd1yUqOVZXf75eETrV9eTweJBIJJBIJabr1+/21qkKNAbfbLc3JXq+Hy8tL1Ot1DAYDGIaBra0tJBIJmet0Oi0JhNob4Sahzum3HZR4Keny5ZvNJsrlMizLwnQ6lQzl8vISmUwG+Xwe+XwesVgMvV4PzWYTtm1LB56DRXJUNUwAa8TFxdlut5FOp7G1tYUbN25gf38fR0dH8mz0U6p+R4I6IXcigo0FWkYGg4HoYNwI6BFktjiZTFAul6WMVN0EfA7qZhwvTjRJmxoxn6Hf7+P09BSPHj0SmxUXJwnk8ePH6HQ6cLvd2N3dFfIDIM/O38ssdjweiw4ZjUYliJmxMDD4LI1GQyQEBqKqe3ExsSnqcrlEY3W73aLTTqdTmKaJUCgkWXyj0ZDSTfVoMxY4F5PJRMiO3kzbttHtdtFoNGBZFjqdDlarFZrNpmRy1BtpmSoWizg5OZFnZanMBU/C5vzz/VQ9lp3nTqcDv9+/1lClM4faIyUlZntqRqtuRLQf0RPLphQ1a7/fL+RPIojH42J56vV60vlnrC8WC4lhxiDH+fz8HB9//DGazSYikciaN3s6naJSqeDRo0c4OTmRxh43h/l8jmazicFgIPPKuGJs03/NWJzP5+h2uzKPs9lM9FhmrMx62QRkT4hfU/3s1FX5d6rfmRubKnuRP/b29nB4eIhgMIharYZ2uy19hxd5//kunDOfz7fm2TdNE9vb21KhM8Ou1+u4vLwUQmczt1QqIZPJwO/3v9Bf/EuTLu1ftGmwgcC0u1KpoFqtIplMivWCuiGFdoruFxcXsG0b4XBYBHYA0lBjR5jl3mg0QiQSEcvMe++9h4cPH+L4+FiIlXKDKqjzD7vhlUpF9MrFYoGnT5+uaUgkC2ZKlmUhkUhga2sLhmGgUqmgUqmg2+2KVURtWPR6PcnqSbiqN1ntXFMH9fv98Hg8oiOqxvnBYIBWqyWfS22Jz8OMuFar4f79++j3+/B4PGg0Gmg2m/Istm1LmWwYhrgc2AHnPKqaH8mbfxiEamORm6ZlWWK/cbvdSCaTIkOdnJzg/PxcGpfUxJjFRSIRlMtlNJtNIQtm1lzEzWZT4ohZRblclu/h5kBS6Ha70mhlCRwOh0VCosWHvyufzyObzYqnlM9OG5zX68XOzg48Hg/C4TD6/f6a1YgZpCrDcE7Zz2AZyuflPLMqow3Ptm14PB4kk0mxl1mWhVKphF6vh1QqJc6QyWSCs7Mz1Ot12awHg4FkjF988QW++OILOBwOIVBVelOzT3XD4XNSblutVqJvz2aztcYnezu1Wk0kRW70zK4XiwXOzs7EFsZmV7/fh23bIjN0u110u104nU40m02Ew2F4vV7kcrmvHVRQ17t6YKRQKOD999/HwcEBut0uLi8vcXp6Kpu1z+dDPB6XXgUA8WxzvXBDBSCNXsuyEI1GZV0Mh0NUq1VxKqiVV7FYRCKRgNvt/taDTi8l3YODA5yensoJEO5SHABmXMPhUGwiFxcXuLy8FPMxO+OVSgWhUEgWneqEWCwW6PV6EtT0HDYaDQyHQ6RSKbz22mv4nd/5HTQaDdi2LS4BVa9RJ4LdU8uyMJlMZCDm8zkuLi6kdKIeQwM7n5sSx2QyQbPZFBmETTxmW41GA+12W3RpjomqJfMwCHdvygx0NzDL4mGETqcjn8Pm5I0bN7C3t4dwOLx2WKDf70vnmwTUbrfRbrdRKBSQTCbXiJKbGbNWLi4SKhcoNxBqxyQ7Nhvoq+Z7FYtFIQsSJgDJKJxO55q+V6vVpORjBsPyl5IIS0g+e7/fl2aeehCGWT9JYTqdYjQaic2R1QsAaew5nU5EIpG1OaEzYTgcrvUqYrEYAoGAxE+j0ZANBYBoxIxbbqzMyjhGzLCoUY5GI8kS6QoYjUZoNBq4vLxEt9uVysS2bTmgQY/uwcGBbAjn5+c4OjpCsVjEaDSCz+eDZVmoVqvSqac+TncCM9ir3nBWcZQEKNexgcU5YzOb7gw6k5LJJNrt9pq8xUyedjj6mIPBIEKhEIDnlXW325W4I88AkCqFGSZln0AggO9973t49dVXpeHPRl6/35ds3eVyIZlMCkdwvXU6HUnK1HljxeZ0OkWe4bOzwuDzUb4Yj8cIhULY3d397qSbz+fR6/XEY8sPUfU07uz9fl9OQzFYTNPEcDgUnyk7mtRC+v2+ZFL047KMYgOBk71araS5ViwWpdHBsp/fz8VIHaZcLmM8HkugMZOmHED7E3d9EoVt26KV8cQMGw9+v1+y6E6nI9kiu8bqEWQePGAgq+9PPZqLWfU1JxIJCcBqtbrWNGMG+vTpU/T7fXS7XdGGvV6vlFbcJNmMY6OF5R01c2YvzD5o32PmSE2cJwep8QcCAUQiEYzHY5yfn8tBFGbN6nFZLiIeQ2WDilkQTySRyJlp0zfLDIdZMRuSLEXVbjwrCBKa6qYhsZBQ2QgjmNGTXNm93tvbw+7urljyeACC3lVuYKpdjwcgWFWxNOfzcHxZvaxWK7RaLZyfn6NWq63p/IzJ8XiMeDyOw8ND5HI50VLL5bLY4mhNoy7M9UFd1DTNNffP1XcnsapOCspilmXBsixks1kEg0FxC3i9XskK1T4N1zbnh5/BSiSVSsmGbhgGYrGYeJIpOfK/zC55Em8+n2NnZwf5fH7Ng0tCppyxWq0wHA5RqVRQq9WwXC4RCoXg8XhkHU8mEySTSdlgbduWxIFNd8pwlO1UmYWVTTweR6FQ+O6k22w25Qipz+cTnZaDlkqlkM/nEY1GpStK/TAWi4mFgtqKz+dDIBAQO1C5XJaXYhbEcjgcDktHlt1YloGcsFdeeUXKEDWjYuOCx3t9Pp/svGzMRSKRtePJ/L1qlq1mrIVCQbrAnU4HT548kSya5MJDEixvo9EootGofLaqAxuGISfpaDNRtT9m8CRiEig3JHaDLcuSd+BuS1281WohGAzKkU9mUr1eT+aCwcTPovbGzIfaNAmThnfOl9/vF32eZTRLcvpYueBXq5Us2ul0inA4LAt8Op1KKcqDHRwLZidOpxPxeBzb29ti8lfLdsZYPB6XUpaHE3hqjE2jyWSCUqkkP8MGDbNk6prMjPkc/Fn6oxeLBcLhsDQhqRNyoav+bW6WLNeZiVGzHQwGqNVq0uQEIAdgSFz0i7K5xU2U88RsdmtrCwcHB9je3l6LsXA4LI4JxiNJgxZDzhHwVZLFrJfOiUgkgkKhgGg0KgkUKzXGO6sk1evKngCJjDEfCoXkGPXe3t5aZcHxdzgcyOfzuHnzJi4uLqRhXa1WUalUpElMKYEnHilnHh8fi4SQy+Wwt7cnzS9uZmyusWqlxLVarRCJRMSjS68vkwn2q4bDobitvhPpsjRgsLKsCwaDSCQSyGQyYuXhzlCtVsUuRT3lxo0bME1T7Dbn5+c4OTkRsX40GiGTyUjXdjabIR6PIxqNYrFYoFgs4tNPP8W9e/dweXmJxWKBaDSKbDYrx0tJ1vxDgzxtOQ8ePMDjx49hGAZu3ryJaDSKZrOJ4+NjlEolzOfPz18zg7IsS3bFaDSKZDKJVColO7l6vprarm3bQvKZTEbufPjZz34mbgQGOLveaneczR2Hw4FGo4Fisbh2xwCzF3XxUI5gdr1arcQBwoXG0h4AqtWqdJdVn+1wOJRDLfT60sPZ6/UwGo2kQUryoRTh8XiQyWTgdDrR6XTEsaJ21pfLpcgPs9lMsgJu1mo2S32QGhmJk2Ry48YNJJNJNJtNac7RShaJRLC1tSXWLBIR8NyhwI2Cn0sZiXYmHldX44nZl5ot8jN5EpAZOPVaaoSMFVZL9PnyhCTHgY1bLmBu3NyoWDkwmSHRA5DYAJ6XzX6/X0iFx9FZTfAACzNLwul0YmdnB3fv3kW73cYXX3whtrP5fC4JAsmP65laPvsylmWteY+z2axs9LRB3rhxA4lEApZl4fT0FLPZDNlsFrdu3UI+nxfbIPCVF5iZJHVjOqiGwyHu3bsHn8+Ht956C5FIRA7JsNE+GAxQLBZRq9UwHA7h8XiQzWaxtbWF3d1dIUv2rLhBc3PL5XKi//t8PtFva7WarLlAICAyEI+efyfSZQbELJBd21wuJyWAz+f7mn+OF0ywS3xwcIAbN27A7/ejVquh1+tJgFIL5YPHYjHJlAOBAAaDAR48eIB79+7JoQPgK+8dMwv17DnTftp+dnZ20O/3UavV4PV6cfPmTcRiMbRaLZlMnm7yeDxfs1Ox6WDbtmTDuVwOiURCnoWni9xuN/L5PN59913cvXsX0+kUjx8/XhtXliYMdi5uAGL5KhQKuH//PorFolh0WDlQ6kmlUnJBC8mHp2GY9bPMpRRENwolFV78wmyFmcBoNBLLFLU23lnABcUMjTLD9vY2yuUy2u22BC2DkbEEYE1j5dypvYJQKIRcLice53K5LJt/oVDAW2+9hXQ6Lcd5g8Hg2mnDYDAoTSiSBD9LtRbyOfhOqn7H30f5gCUwPbu0E1HPo4+dR1OpKfKzOI5svNBhkUwmsbW1JScbaY9UM3z1KC8rF8YCTfvM7AaDAba3t1EoFMTrqzajrlorVYTDYbzxxhuyEX300UcolUrSJMxkMqK/ch3QLcLSm5klNfNkMin+c6/Xi/39fdy8eROJRALtdhuj0QjT6XRNvqHkRSmIXEQCVuMRgBw9drvdePPNNxEMBhGPx2X98n1JkEwiKdOk02mMRiMcHR3h9PRUvLm7u7vY2dnB9evXpVrkHRTpdFoSFDZe6UJRnRUvwktJ9/j4WDIpp9MpXf1MJiOEaFmWmIJZVlLz5EBvb29Ls4ZmfU4SALFrsOlAKxGzq6OjI9l1Ce7cqnmfZEY7EksvltskIup43PUoGVD7mk6nsoszsGhfop81lUoBgIjrwPOTacFgEG+++SZu3bqFQCCAy8vLrz27y+WS8+085aQuAEo3pmmi1WpJR5/vzfeljsXFTV2XpY7aXWX5yU2GTZxut7t27JgbDDdQfo6a3ZLMSVC0bl3t1HM+qXeTfCgHsQTlBsyFEQgEpHkKAM+ePUOxWMRyuUQul8POzg4SiQS8Xq9cUGMYBnZ2dqTJOJ1OcXFxIcRKGyHHQ21oUVZgBcITduwL0KfN5ulisRCvr6oVq4tb1ZiXy6W4Z1S5gVULrY2UqnhcVr0TguTG04VXO/u9Xg+lUgmDwWAtdtXvozTx2muv4dq1a/j5z38uPz+fz1Eul1Gv13Hjxg3cvn1bJA1mgDxAwdJ/uVyiXq+LM4aZIatXWvCoaVNHZaOS88Y4mc1m8r3M9Dl3XCNc84xXPnulUsHR0ZF41zlmlEfUU6vcGDmfbOROJhM0Gg1JwFhRUFrhhVMc452dHXESzedzdDqdtcTwm/BS0r13754QGDVIakkMUP5hYJFsaWNxOp04Pz8X8ZvSQzwex2AwkN1qPp/LzWPMHnghDR0U6smhTCYj3WeSBLU9NoEYKOVyGZ9//jnOz8+RSqVEg6TOqdqF2OnlAQBqRpeXl6LbUgYBIO4NGth5zSAPRPz0pz/F2dnZGul6PB688sorshmpC5aLg11U3ux1fHyMH/7whxLwLFHr9Tra7bZkXfw96pFVtUFIcqF/VD3MwCYBmxfqQQFmNiQONsLUDZMlGjMSkgazeUoHatZCGYRfp6bLhgsbq1w8qr2Jz8lFyiYaNwtKJyR6Ztuqv5nZonp8XS1t+U5s2tKJor4/fz8zU9WPTNJlNshNjxkYL4di5q/OAa2HXE+0OLZaLeRyOclaB4MBjo+PcXZ2JjKEenWlStKsxG7evCkEyPV3dnaGn/70p7IGcrmcrEHKNaxega80/lKphMVigXw+L5fL0EFTr9fXmsOMZ1aolmWJBspmMeeTBzDUAzqUOra2tuSiKhL46ekpwuEwtra25FZCaujU3gFIpeZyucRW1u12cX5+Ln0FwzDkWVOp1Nomy6qDR39pFGi329Kv+s6ke3p6Kl1AEi0Dxu/3I5PJSDnEjIvn2Tn50+kU5+fnclNSMplEJpORF+MVi9SPVcsGrWa06PDzk8kkrl27Jo0YOh+Ary75YEDy5p8nT56g3+9LQFuWJU0X1VJD6xXLMlqkONC0i3Enpw0rm83ixo0biMViYqI+Pz/Ho0ePJBMm2ExQnSBXwQVN7erJkyeo1+uiI5MsmTVy91cXvmEYIiNwd1ddFSQqzgU3IZIbiUfN5tiUICnQbmcYhhxkYONFPbjB38WSkQRwNYNhaQgAlUoFAMSyR8tRsViUW8DY3OXtZ8ViUd4/nU5LXHGzVq+dpHeYz0Hy4eKijdDlciESiUiWTHngqulelQQ4/uz8s5pQNxNuHBwPZrtqEsNrNdm55+eQSACgXq/LFaJ0A6iZILBuvVoul3LNp6o/DgYDPHr0SO5GDgQCuHv3LlqtFp4+fYpOp4NqtSrlt1pRqmMTi8XkGfi+lJmYmI3HY0SjUTn9OZlMcHBwIM/PGFedLzxOHg6HcXh4KD5bVir1eh0PHz6Um81o0eP4UT+nrpzJZNDr9fDs2TOpZGlZZTOZx71Z/VAOorzBhIHrgs31l+GlpEt5QLUccffmgDLD4kXdDCIGGw3p6l28bBwwe6CP72oGxvPQapbA0juXy8lpHuq76qbAoGCDiFflqZfrcPGwmcVGAQeRXzdNUy7roJ+UA8ygTSQSeOWVV+DxeHB6eioXALH0IHw+n9yPygVOqBkiSxwGxsXFBR4+fIh8Pi9da15Ow2aLegKMz89TbTwooV4So2aMANaCjdmtenEKyYpSDU+OUZMlYXD8OaaUMygr0avLJgcbTsxustksDMPAxcWF6KWMq36/jy+//FLGjOQ5mUykUcIDGblcTuID+KqRRg2Y9xdQf2ZzjFdnApCSk8mE2vBjFkXSdrvdYhPjWFDe4sZEIlbJmpIYr7ak+8K2bTlWTpKKRCKSIDAOHz58iGKxKBWg6grhhqd+1mKxEJ9vrVZbq4Sq1SoeP34Ml8slmubW1hba7bZYq9iwZGWRyWQkc6X/lfNFsuVBCFWuYHyxkqZFku4KVibs+dAFwb5SKpWSBIgVCPsJ7EdwDimxARBvsGEY6HQ6KBaLchscXRycI8qh1G/JbZxH8qHq36fj6TuRLicJ+OqfomGToNvtShCnUinZTfiio9EIw+FQuu+8ZUm15pBEmVVyMHhvAMlHLbtN00Q+n8fW1hacTqeU9rzHQM0ieFTZsiyxe6mZKrMLapQkXS4oNhCYedHaRIJUD0k8ffpUzpM3m01Uq9W1iSTh3r59G++8844cD1bHmb+TG0UikcCdO3cwGo3QbrfxH//xHzg4OMDu7q5khbzX07IsCVT1xBE3pH6/L4c+1DsPOMZ0XVCr5WLlxskNlZkqyYQODGZ2tGQxu2EAszR0OBxySIbjz5+l7ubxeKSBpprhAYi7wLbtNUcMSZF3L/Bfq+C/4KDesUHNlN5gSgp0NlDvVzMYVlOLxUIWH7VLVkdsMpGMmQnSUM8KivHKio7kORwOZa2QkDqdjpS8vBWPlwmx+//JJ59gOBxiZ2cHd+7cQTwelwydcc9KhQQfCoXwzjvvSKOa2Rk3L7oeaBE7Pj5Gp9ORO0BUeYiXJvH/U85gdcyDGBxrrjGOG3XTTqeDUqkkf8e1vFwuZdOmhZW3mjHz5u+kr5sNT/ZoOG/MTJlFU2pgFs15oh7sdD7/BxZoAKjX6zg9PUW9XpcKjQmG6sX/zqTLUoTBSkbnC7ZaLRwdHaHT6cilJJzkXq8n3etkMonr16/j2rVriEajcqdrMBiUxbdYLORqP9XuQw8qJykcDuPVV1/Fzs4ODMMQMmH2TI2Ox3rr9Tqy2Sz29/cBAKVSCQ8ePMBwOBQvKS1Zfr9fno0ZPgmcWYd6uog6U7vdRrPZxOXlJfb29sS7zEyejaiDgwP84R/+IV5//XW51YtHKEkCXOQAsLOzI4btf/u3f0Oj0cDDhw8lu0in0/jt3/5tGb9SqSTSTjqdxv7+PgqFgpxFn81mciiCfk6SC0/1MRPk/LMsJ9GwWchKhvFBXZ2bF6si3knKADZNE6lUCrFYTLI6EiN9vdTYuSmwyiHpcRPgRqaOHQmz2+1Ks0PNiEhqqtbHjZ3vx82drp3BYCAZDudSreR4IIKVAt8dgGQ+HG9uFLSosYMfCASQz+elVzEcDtfudi0UCvjd3/1d3L17V24/q1QqePjwIVqtFq5du4b3338fd+/elYMFLH9JXmpzzuv14s6dO3C5XOj3+3jy5Il8VjgcRjQahW3bODo6kovx6axhJUTdmJ5tJj3sq0wmE9mEOSfcXHhR1q1bt5DL5QBAJEWOYSQSkc9YLpdiw3O5XNjZ2UG73RbZjc9OR0gmk5HnicViciQ/nU5Lhbi7uwvTNLG/v49nz57h6OgIrVZL3o39GT7/xcXFWuOQMalKRpTJvjPp0ioTiUSQSqWwvb2N7e1t2aXVIEyn09je3gYAsZY0Gg0YhiHeSt63ycMIi8UC6XQa169fF92Mu8xsNkOr1YJpmnjy5ImcjHn11Vfxgx/8ALu7u+j1epjNZkin00ilUrJg1NMvvGMznU7DMAzUajWEw2E8evQIsVgMOzs7Mrmr1Uq8hvSE0oLF+wCo8fDIMvU6yhDJZBJvvPGGdHJdLhfq9Tp8Ph8++OADfPDBB3JjFrUrABIwzPp4bwAbdLFYDA8fPhQpgIcjUqmUXN784YcfwrZtRCIRZLNZHB4ewjRNdLtdnJ6e4vLyUuSd1WolGRgzR7/fL0FJzZa7Pzci3tvKxhe1YZaVahNHPYXGBaveALZcLmVeaJinBs+j0sxe5vO53M/AU2H897x4UpAOGlZNPLzj9XpFS2RmYhiGHAbo9/syLqq2rzodaI9UNW5qfrwzhE1Fasd0PPDfGiThcjNyOBxy/0ShUMD+/r7cZ3t8fCye5sPDQ/zBH/wBvv/978smwwNDi8UC+/v7uHXrFj744APEYrG1E5F8DhIXdexsNotsNotYLCbWu/H4+WXwP/zhD/HGG2+IP5tZHZMTXtajEhgPHAEQj/tkMhG/NeOg2+2iWCyi0+ng9u3beP/99+UGr3q9jouLC1kL1IU5ppQXVJfU0dGRuCx4JuDOnTvi8eYmTimJc7O3t4ebN2/K3dC0wZLAU6kUbt68iUwmAwBSMfNf6aBeTAcUK2b+sz4vw0v/CXbLslbAVzYl1VPKkpkptXo6g4GpygLqzzErYXnN33/1aB2AtaxSPQ3HRX+1gUSoi4PlL8GgVL/Gz1Z3KvX3ql9TLVFXjwKyecTsTzXnMxNSn/Wq9Ye46qPkJHOsr95ktFqtRGvl91xt8nBOrrol1PFWrXdXv6Zad1S8aN7U57o6Rlfn6ur8s5HEZ7368y/6DPX3qDZCzu/V5yDU+Vaf4yrU3331s69mN/x5NaZe9DX+PONGXT+q1k7iUZ+LMgG/R21Yqr/3RWN1tY9AMgO+2vyZtXGdXh2jq2v6Kieoa1uNKc7varWSpEJ9NlXeuxonjAs+g+oKUflBHYervKKuba6Pq2uaP6c+g3oy8yon8H3VeY5Go994v+NLSRfAy/NkDQ0NDY0X4RtJ96XywlVCftHOuQm8KIv4TcG3jdFv8rNraBAvi9PfFB74JvwmrLH/yhjpTFdDQ0PjV49vZN2vu/I1NDQ0NP6/QZOuhoaGxgahSVdDQ0Njg9Ckq6GhobFBaNLV0NDQ2CA06WpoaGhsEJp0NTQ0NDYITboaGhoaG4QmXQ0NDY0NQpOuhoaGxgahSVdDQ0Njg9Ckq6GhobFBaNLV0NDQ2CA06WpoaGhsEJp0NTQ0NDYITboaGhoaG4QmXQ0NDY0NQpOuhoaGxgahSVdDQ0Njg9Ckq6GhobFBaNLV0NDQ2CA06WpoaGhsEJp0NTQ0NDYITboaGhoaG4QmXQ0NDY0NQpOuhoaGxgahSVdDQ0Njg9Ckq6GhobFBaNLV0NDQ2CA06WpoaGhsEJp0NTQ0NDYITboaGhoaG4QmXQ0NDY0NwvUtX3ds5Ck0NDQ0/pdAZ7oaGhoaG4QmXQ0NDY0NQpOuhoaGxgahSVdDQ0Njg9Ckq6GhobFBaNLV0NDQ2CD+E/+8tmxQVbrQAAAAAElFTkSuQmCC\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: 256\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: 256\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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BAC6XC8FgED6fD06nE5eXl0upI1O0fr+Pfr+/pLEOh0OMRiOJpO0amN/vx3Q6RafTgWmauLi4wHA4hNPpxPr6OtxuN/b29rC1tYXZbCaHBCNDpvaapiEUCiEej4sWRp2KaeRoNIJlWZjNZtB1HYvFAl6vV6I+gicjyc6uQ1qWhel0Cq/XK0Rm14MZSWuahkwmg3g8jsFggEajgX6/DwBLeis171wuJ+m7YRgSebjdbsRiMdHfarUaxuOxaGzUt6h5eb1e0fGGwyF6vZ68r8vlgmVZQn4cP84p56HZbIrmzaiR5MDPisVislk4vpFIBMlkEpqmyZ/9fj+GwyF8Ph96vZ4QD98pkUhgMBhIdFgqlSSK73Q6Mo/ULJ1OJ3Rdl81r1wFJrl6vV4iMJBYIBOSwZpTJdzFNE5VKBdPpFB6PB+FwWMiEkTGDjng8jlgshvPzc1QqFYxGI9Ep7bKMz+dDMpmUWoqmaRKYhEIhIWTuE64t7j2uE03TlmoShK7rImfw86LRKJxOJzY2NrC9vS37nQEQxzwUCklmZs++fD4fUqkUUqkUNE1DNBpFMBiUea9UKuj3+4jFYggGg4hEIkt6L999Pp9LVjmZTJaCAb/fj3w+j1gshslkgn6/j8lkAo/HI2NrGMZSUMDn5t5jVtdoNJYOjNFohEwmg2AwiPX1dayvr6PVamEwGAgncgzJmV+bdNPpNFKpFEKhkBSFeLqGQiHs7e0hn89D0zRcXFzg4cOHQo7dbvf5B7hcojeyQKXrOqLRqJx4XBg8tUKhEMLhMLLZLHRdR6lUwunpqUzAbDaTwWe0xc0PQFLr6XSK8XgsssFisRDCSiQS2NzcRCqVkoVBYnM6nTBNU6L7ra0tuFwukU44wNw80WgU+XwepmnC4XBIGjwejxGNRtFqtaR4wKjIMAyMx2MhWBYxDMPAbDZDMBgUYT4YDApBkOyo/zIS4GYieUyn0yWdipER/2cvFna7XRkjXdcRCoXg8/mWNrzT6ZTn8Xq9CAaDcDqdcLvdmM1mGI1G0HVdDsxoNAq32w3LsjAej2Ga5tJhwyLcYDDA6ekpdF2XNI6HDNPWer2ObDaLQqEAXddlbEzTRCqVgmmaIgVxTEajEXw+HzRNE0mGURazCW40kgufTdf1JS3U7XYjEAggEAhIKjubzUTmYKTKOWLKy0PONE2EQiHReZlVsXBLwvT5fHKgMyAhEXGOg8Eg/H6/HGgulwvhcBiJRELmhBkSCz58L3uBi9IGD0XgeYEwEonAsiwUi0WUy2VomoZUKiXzw99/df0nEgmsra2JTMeDjMHT5uYmNjc34fF4RDJptVpL9R4e2ty/DCK4p7k3RqOR/JnPous6crkc1tfXYRiGEDmzSBIrD9FIJCLZMzmNh9RoNJJAqtlsIhQK4fr167h+/Try+Tz29/dxcnKC8XiMyWQiAQl1ctM0vz7psgAFQLRApj7z+VwWJ3WNSqWC4XAoZMe0dzgcIhaLwePxwO/3w+VySfXPsiyRB2azGQKBAPx+P7LZLLLZrBQ47JVe4IsqJ3UXPgvJlrphr9eTk5EL9ODgAMlkEuFwWBavnWS46CqViqR4rMB6vV6EQiGEQiHZtIFAAKlUCu12G4Zh4NmzZ+j1etA0TaSZRqMhEWO/38fTp0+RTqcRCATg8XhEJ+90Ori4uICu68jn8+Js4Pv3ej1J1cLhsES89pM3FArJpgAgGikjS447DywejoySGamw4EnC5sL1+XxIJBIyLnwmXdcxm83g9/sRDocxnU7RaDQwHo8lEuYG4ecy3WPURvKjvscocXNzE5lMZskFwujR4XCgWq3i7OwMx8fHslEZrTELm06niEQiCIfDcDqdsCxLNgg3uN/vl8guEAhgNBrJnxOJhAQgnU4H3W5XDpJgMChEzso6x9LuoKETx14pZ0WcB3MqlUI6nZZ9SJdQPB5HMBjEZDKRwzeVSiEWi4muS3368vISpmkiHo9Ltkjy6nQ6ODk5QbfblczM4XAgmUxic3MTlmXh8PAQzWYThmHIgeH3+yV4ikQiyGQy6Pf7iEQiWFtbQygUQrValc+2Ey8L6F6vF+l0Gj6fTzJLZlnMoLrdrmTEXBf2jJgkycOCkks4HMb6+rpkRJVKRQIV6s32TJJBxHg8Rr/fl8CDmcNgMJDgrlAoSCbIdT4cDmFZluxRzkM8Hv/6pPvOO+9gPB6jVqtJusT0sdvtotFoiLZVKBRkMfb7fVxeXqJer0vaFQqFpChH/RL4wgLCzRUKhWRi0uk0FosFarUa/H7/ku7EKIGnDDcaFzpPeqbAgUAAbrcba2tr2NraksU7Ho/lnQjTNNFoNCQ9SSaTkqZEo1FJj5jy8Blmsxna7baQbz6fx87ODubzOT7//HMR4EulEj744AO4XC68++67IndwUbTbbTSbTUynU+zt7UnK6/P5pOCQSCSwvr6OeDwOy7JwenoqToJYLIZAICDFMUbDuq4L0du1cJ/PJ9oqoxdd14U8NU0TrdLr9S6l/oyCAUikxkiSc8UiIPVaki4znX6/L1EiU7PRaCTSCVPBaDQqpEaioIbZ6/VweXkp359MJuV9GOHxs7mWGKlwbOw2LUZoLLQwzWYQwsOBhzwPY36OPd202wKZUlNSYPRs14GZ3rNGous6dnZ2sLGxAa/Xi1arhYcPH6LT6SCVSsHv9y9Zsk5PT/HkyRMkk0nkcjkJSMbjMRqNBj7++GN88MEHUvDz+XwIh8O4du0adnZ2MJ1OcXl5iWazKWSs6zq8Xq/IJ3zGTqcDTdNEAuQhywOIY8EIm0XEbDaLQCCAbrcrbhvq2yQzu41R0zTZZ3a7I/A8uKBzJJPJAIBkE5T9TNNcsq4xG+NBS5mFe4UaM9ce3QjkPR64DPDIcel0+ucsqr8U6VL36na7qNfr6Ha7IgEMBgOUSiUUCgVsb29je3sb6XQajUYDp6enMAxDBGum/5w4Eh0jYaY4JD8WcWKxGNLpNF577TU8evQIjx49gmVZMqiWZS15TwlGD1cnjzoTU/t+vy+pDDUcwzDklHU6nVJ0YkRvlzIoi1iWhU6nIycj02kWEe3ENJ1O0e128fTpU6RSKZE4eKI7HA4MBgM8evQI3W4XHo8HhUJhSV9lKk+C5ObmO5EsQqEQXC4XGo2G6JCMNphy2tNP/i7qf0zjDcOQ4gSjsEAgIJEBo71wOAzDMIQsSbRc+ACE9Dh23Ihutxt+v1+02n6/L/prq9XCdDpFvV6XguB4PJZ5YmHq8vJSUkSv1yuFJR64drnJ6/XKZrNvHlbV+f5MrXmgmqYpWm4mk8F0OkW1WsVgMICu60JgJHiucRZHKeswU3A4HOIMoV4bjUYxm80kgOHPsJg3n8/FUcKDn0HI2dkZfvrTn6JcLuPmzZtLvl/LsnB2doZPP/0Ux8fH6PV6Sx7dxWKBRqOBdruNRqMBy7KWyJ/rjM9B3y8thsyAWbPh2hgOh+h2u0uuDGZCdk81D2HWaRhAcW9zD1EKINxuNw4ODvDqq68iEomIO6Pdbsvv58/bJVJ7rYKBAA/JaDSKnZ0dbG5uivPGsizU63WUSiUMBgMZd2ZSa2trSCQSX+nVfSnpslpYKpWk2s2XYOpIHx79dIzyLMuSdHw8HotlxB6tOBwO0QHb7TZarZZEwJ1OR6LjnZ0dfO9738Pdu3fx+PHzf1LFrk/ZDc48FbkwK5UKGo2GfN7h4SGq1aqkDSSn0WiEcrmMTqez5EWtVqviDzVNE7quYzQaiTWp2+0K4XIBjkYjSbk9Hg/G47EU9Hhi89Tls5IsaC26uLhAtVrFZDIR/ysXp9frRaVSwWeffYatrS14PB7U63W0Wi15VsMwkE6nRfcbDAao1+tileLvsetiJFtGZR6PRxYWyZkHzmAwQLlcRrVaXXK1dDodnJ2dCQHy91C7TCaTiMVi4rLg4qdWywOdliASy3g8Rr1eF4sXtVYWhAaDgWjqjJipofJ9WG+wLAv5fB7pdBput1u8uXRgMC1mkTgSicA0TXQ6HSwWC6RSKeTzeckISBaTyURSeR5W1AbtgQzTWh4u9K9Tk6XDolgsyuZuNBoiyxWLRdRqNSF3eqrpJ75//z5msxkKhQJ6vZ6k6dRJOSd2t858Psfh4aHo8CySAc+zDkqHkUgEkUgEi8UCl5eXKJfLsi/ol85kMuIsIfG53W5UKhX0ej2Ypim6NOUl4Ll1jgc9ecbeYMJ1wIOM2Nrawne/+13s7Oyg1+uhUqng+PgYzWZTDnpKQ5yv0WiEWq0m9shKpSI1FgAiPVHWoCWuXq+j0WhIRsMgrlwu4/z8fEl//1qku729LVIAtVq7KH81RTMMA7VaDY1GQ9JcWpJoxaDEYO8CoU3p4uJCZAZN00RTSiQSODg4wNtvvy2Tz8iz1+tJ2mtP6xgJdjodGIYhKVav10OpVEK73cZ8Phdbz2KxEPsRI75YLLakS1Kr4+ltmqY4NpjO8GvUrO3RNYuRrKLG43FJyUejkcgyTPv7/T7u37+PTqeDb3zjG9je3kY0GsXBwQGKxaKk04lEQjaJZVmo1WrodDrY29sT6YJjQULx+Xzw+/1LDQJ0fZDYGBnSdsZoiQcwyZ22sH6/L9JIv98XMmI6z8g0FAqh0WhIhOl2u4WYqZWapikHgl0/Y6TucDgkWubv4XiTTLrdLvx+vxS9KDvZLVQ85Bl1s0gDQCI4aqn8TB74jGRZFPb7/ZJq+/1+xOPxpe4prk1quaPRSGyVrCkMh0NcXFwIaUQiEWlyoe+43++L/hqNRtHr9XBycoJHjx7h/Pxcou5ut4vLy0uRShiF8nmZjZHQuAYYRZKAWBRk5D2ZTKDrurybPZjgoUqbI3V5/n4GKKyVsK7CelGn08HGxsZSsxPwhQzJ6JxRazAYxNtvv439/X243W7JtEim1GE1TUMymZSfo7OEvlrWYDhODodD/NO0h7EIzcPLLp1wHCKRCLa3t78+6ebzedTrdSFBOxhJ8CHZDMETI5PJiLm8VCpJtAlAIgCmTuPxWHynTMX4mfTGjcdj5PN5bGxs4OzsTApGlAAYPfIwCAaDyGazOD09xWg0koILI1K32y2D2Gq1ZODs+hMPgFgsJoTKSjM7jBqNhjRscFPzIGJxzG7LoW5E/Y5GcFrJ5vO5aJLNZhPj8RiXl5eIRCJYX18XrdLr9eL4+HipO43pbaPRQKVSER2YlXFqcvP5HB6PR3RJpr0sejidTtk0LBRSTqjVahK9MEswTRPn5+coFosiNTDa83g8MjacK3Zw2aOvyWSCZrMp8gmfhdIE58XhcEj6SpnqahstI2AWmwAsBQwsotETy+dlYdHe3ddoNOD3+7G1tYVCoYBQKCTRpqZpiMViSKVSCAaD8jn0tfJApduB/2NmMxgMZC/xoOt0OnKg8nCk1mmaphTH9vf3Jfu5vLzExcWFROx2WxnXNYOSQCAgdi1qkVyXdlcH96I9FacPeTgcit65trYmn0md1y4VLhYLKaDyQOTcUk9lfYRpfTablb8jYdO9wO4zHuQbGxvI5XIirVFGIx9Qdul2uyiVStL8QrJnhmBZFjKZDNbW1qS5hy4IdnGSV6LR6M/ZwphdMdr/2qRrL57QUgVAxHe2lbKriB1oPP1pLGbUwp8bDAY4PDyU9jwWK+iF9Hg84s+k0fr8/BylUklSgEAggFdffRUbGxuiTXJCubh2dnZgmqbYjjqdDiaTCSKRCBKJhERDJHzqVYwSuPicTie2t7fh9/tFQjk8PBQdi0Rlv4eB6VYqlUK9Xpex4wK3p9pcQFwsHHuazrlwSA70OoZCIfG/skrLdJFFE9rXAEhFttPpSOGHhMiUnYvWTg48cIfDoaRkTId9Pp9ETHRz0FXAr/t8Pol66SiZzWbiBKAGbp9DNtIwO2ABJhKJSBGGpMWMi6RJLdfefm33DrvdbvFuAxBJgNGWYRgyTsxQKF2wek69cjqdihYNQMbNPh4kHGaIrNSzKYVuE0ZdzKx0XRdZhREpi3CRSETsdZT7eED5fD6k02ns7u5ic3NzKa2OxWIS8dn9uZqmIZFIIJFIyMHK97FnCswuw+Ewcrkcdnd35aBkm7XL5RIPNbMjHrKRSERIiwUx8kU6nca1a9ewu7sr3Yv2A0vTNGxsbEjjkb3L8NmzZ1hfX8disZDPsCxLml96vR7a7bYcAIVCAfv7+/D5fJLRplIpZDIZCVxYGGy1WtKenclkkEwmRSLiQe73+8WCRrnka5EuJQWeSLRd8KVIuolEApZliR2HERY1r83NTezu7ko6xk4hErTf70cymUQ2m5XUhx1shmHg7OwMn3zyCT766CPp5AmFQnJfAKMp+yA4nU6kUilpabxz5w6azSbcbjf29/eRy+XQ6XTw5MkTMc6zmkx/JbuYSJ608dB3mc1mhbTa7TZqtRqm0yl0XUehUMA3v/lNZDIZ/PjHP5ZWSy5wbkBG9fTXshrPvnH6hu22HRIFNytlA0bm8XhcogKmQ+y8IWEwjeTiZqRgt0iRrPj3dm2cRVG+D43vXHD0jobDYSE0doaZpolAILBkv+Lmo+WMxOJ2u6XVmOnr7u4u4vG4aOY+n0/e3+/3I51OS4RHixPHOhQKSRrPDCGTySwZ5dlsslg872zku/DwYVZBLbler4tURULnnRsc42AwKOMwHA7RarXQ7/flncLhsOw36sjcQ7Q9suEmHA4LkfIZGdUOh0MEg0Hk83ns7u4uFWnp72bWYc9enU4ndnd38c4776BareJnP/sZzs/PJfBggwGjTmZp3BMsXrVaLVkf7Bzk+zqdThQKBelqK5fLcu9DoVDArVu3sLm5iXA4/HNuJB668Xgc2WxWggwWIR0OB27duiVZRzwel0i70+ng9PRU5EOPxyPum83NTfHlc+8yOAwGg9K1FolEZP5YBI1EInLY00EymUyWAqxfmnSpcdEAzOhqY2ND+sGpX/GSB3pSubAnkwkSiQS2trbg9/tRrVZRq9WWbqqi7sLWu/F4jHA4LPape/fu4ac//SlOT09Fg2P1lhG0/bYxalQ0btsLSR6PRyaHm4WRXSwWk6iY2i4LS6xSMhqla8Pj8UhfPiPYzc1NvP/++7h9+zam06n06RP0bnq9XomSScSMOLa2tnDnzh0xyQcCATF0s4jAyzWY0jLtohTCDc9mFHZP0ThOiYObdzgcot1uS2MFC26UGpg1MDqgc4DPtra2Jpe32NcFFyMASbdZaGWmQFmICziXy4nHmYVPFrdu3bqFTCaDcrks6SYjvEwmg0AggLOzM7mrw+6XtRcGKQGRdChL8P3tm5xpM73EtI5Rr+90OiIr0PHDNcTUmbofmwdoncrlcuKGYdeT0+kUjZhNO3aPNO+NYGQXDAYlQt/Z2UGhUEA8Hl9aLwCWXBBXHT+RSAQ3btyQwui//uu/4vT0VPT4zc1NsSjSKklbJnVpVvnpZuHFVfQx7+zs4NVXX0UqlUI2mxUSPzg4wM7OjnS12fcJx5nFZh5o1N5PT0/FZ/7WW2+JpMbMx+l8fv+HvduUxLq2toZ0Oi2aeaPREMdVPp9HKpWSNmUSv9frRS6XW3J3UO6iieBrk+6nn36Ki4sL1Ot1AEAymUShUMD6+jq8Xq/cfcDuI3t6TA8vC0qFQkGM27Qw2VsN2TTBKrLL5UK320WtVsPx8THq9boUS0isTFu4aFhNpD7KzcRKpNfrlSIee+vZbWRvDzUMYyk9Ho1GkoomEglEo1Gsra3B7/fDNE20222JDiORCH7rt34Lr732Gnw+H46OjlAqlZaenRaX69eviy5tX/xerxeZTAaRSEQKhYwg7Sc/o1A+N09m/pneT6bY3GRM//iz1HwZoVAS4nwykuA8kXi4eKnLkUxpA+MGsftZecAwsqaLgxE8U8JsNos333wTDodDLiqZTCZyCx1tPEzFPR4PNjY2sLu7KyRQLBZFywaw1OBB6yMLufbnZDpNPT+bzYo0Q42Rz2svkNkthPbWYtYSmILbu5iALy52YQbCw58NLZQ8+POUFOykSb8rAxYGRVctV6FQCN/4xjewv7+PTz75RH5+PB7j7OwMlUoFe3t7eOONN+TQYpGJxShqnsPhENVqVVwC7PTk1+hgoDzAzIXzDkAKgfbORWr3zKbs78nvs0sj0+lUeCKXyyGVSmE4HGIwGIiERo2d6980TemES6VSUjAvFosijzHIYcZHCbXX6yEQCIiH/vz8HKZpolar4cmTJxgMBvjzP//zF/LqS0n3gw8+EAGbJyHlA9q+6Eulr7DZbEprHwsmTPESiYTYbkhQjHhYcKMthn7BSqWCs7Mz8eRS10ylUnKq0rPJKIX6DRdaqVTCnTt3UKvVkM/ncXR0JG3KHFTKHSSXRCIhk1EqlfDs2TMAkKo1i4Sskrrdbmxvb2NtbU0aRY6Pj/Ef//EfOD4+lkgPeJ6evvLKK0vyhL3xg5o0CZAdRP1+X2QCLuharYZms7l09R9dCUx1efsRN9dsNhMyZaWfxGf/OZIto1EW4q52l9F61uv1JILm4cX7BUgS1Gp5WLIAYbcJUXel9MKNx40PYGmsSCwsJHJNkRipR7IKz3XBLAZ4LqXZCdRe7Or1etKlxgOcHZpcdyxQsgDrdruXrt6038/BNTybzSQ44dpihmCXdRgQ8MKfer2O9fV1Ia5+v4+TkxNUq1XR0Hk4cqzsB24+n8crr7wCXddFF59MJnj69Ck+/PBDqbMUCgW5JImNNq1WS1L30WiEarW6dMELpRK6mLjfaYczDAOff/45NO15u3+/35colJEn1x07u+wZCjvAUqmU9A3QjXB+fo779+8jk8nIpUxer3fp57ieOC/sims0Gjg8PESlUhEZhy4NHvB2dxLnmEVt2muHwyGOj49fRqsvJ92TkxPRS7m4GNECWBLF2QHGfm9Gm4ZhyHV61H+ZctCmRevMYDCQxUJNtVqtyt0FDO+j0Si2trZEAKfWbJcrmLIahoFSqYTj42O5M4J+TJ/Ph1wuJ5ds2AtB3LD0EZJ4GDnyVKbgns/n8frrr0uBrlar4enTp/j000+F4Al+HjcqYd8cjEq8Xq9UtKvVqnTcXPUr0kc6nU6li4bFPRaBmNqTWCkPcD7tETcjOmYq1AGpeTKa5MHHuaSbg63LdicK5ReStz2NJOGyVuDxeFCr1QA8z5oYJVvW8+sr+b6UphiFsHjDdJgbwe4oACDvzYiWh4vdAsloiJua/8/0lrYzEigPVrtn3F6wItFzH9FLbr9VjmM/nU7lakJ7Vd5eNOO70NNrmqbou/a5tEeFXHP8vkajIV/rdDr45JNPEI1GpXD8zjvvoNFo4MGDB6jVajg8PEQqlZI9b7fQ0UnD2gilB6fzedswb5OjXZBBDedoe3sbqVRqqQAHQCQaZhq8OazZbIqsQ+J8/Pix3NPMeWRwSMkmnU5LMxevi6QsRtcF1wE5jYEKtVza3hg0cZ9xTb4MX+leYKGC0QjTUEYFFOiZ/rBay1vAqHfYUwYWUYLBoBSBGAUwJePiZsMEf55tufl8XtwNjK64mPmcfC4a56nL8t1IQLRLBQIBEdM5yexO4iXZrCjTkE5pIZlM4tq1a/B4PDg8PMTp6SkePnwot6YRuq7j4OBADgy7ZYfdRdxU4XAY+Xwe3W5XLhTa3NwUtwNv1SoWi+j1enLIMZriQqQWyM+hBsz5otuCRTR21vHZ7N0/7DIDIFG4veff3rRAG1EwGJROMACS5WiaJr5cZkO8tNzhcMhhzZScd5oeHh6KDs9Iejx+fq0lD+5gMIidnR1omiYFLTobotGotLJzbKjh0mvMtci7AVhAZMGPchGzBIJkx+/luuYaJNkzuLC3xLP4yUo/758g2bANmQVUFm0ePHiwdF9HOBwWacl+nwbnfzKZIBaL4eDgQA4w/r5yuYwHDx5IYW1tbQ2pVArlchnFYlFcG2yGoQZN8iVnAJDshUVuulbosuFY8dC2rw+m9DzkabUEngd7+Xxe7KDkB/sVkvRVMxikvEjytzfisAjIdUbS5drnZ9hvPaNNlNkh34OZ/8vwUtK1p7wcOJIYF3IymRS/K6NXWmKYgjFEpyTAyIbCO4mcg8FqIqUDRoPcyNlsVrqJDMOQa+ZYPebNZrSwdLtdIVQSEwemVqsJ6dBzbG9JdLlcEnlxYdojIZLc4eEhwuEwwuEwyuUyyuUyKpWKyCLA87T/5s2b+Pa3vy1eSXsUwuiRHVnRaBS3bt2SyPzOnTs4ODjA1taWkC49hExR2TfOqJ8HB7VTpp4skpIUmPrzwLEfnhwv+1ogOfDE5zvyULVf0uL3+yUioRczn88vvS9tgHRo0NhPMzzJg5vAMIyld2FLd6vVQjgcxvb2tlylGAwGJTJlpENZgpecM4PyeDxySHo8HmnKYJpMBwAjTsoVlElYOAQg+8R+Ix6jXQYQfBeSOS/NZkMLDwEAUnzibVa9Xg/Pnj3D3bt3YRgGNjY2cOvWLUSjUbTbbUnh7Q0wPHRDoRB++7d/G/1+H3fv3l1qEqlUKkilUlIc6na7Islx3rkn2fYMQA5Ouz2UWQ7rEiRSyhW81Y6XPZXLZbmxi7KCZVni6+cVAbybpV6vL3m16d0GIAVDewu6veONzRXJZFJ0Zzt32YML2uiKxaJ0BPJw4H64yplfm3RJQoxmms2mnNgej0f+1QXKBqzyNptNuX19fX0d+/v7KBQKEt3yNGFlfjwei02GE2RZllw8w5eJRCK4fv06tra2AADtdlvM4HQ82Aeq2Wwik8lga2tLjOQPHjwQbZZEk0gkZAOzw8Ze4bVvdkYRJDZq2aVSCbu7u1hfX5cr+bjQXS4XDg4O8Kd/+qcSEdMZwtTSbgJfLBZSgQ4EAvj3f/93tNttHB8fIxqNisXunXfeAQD88Ic/RKVSkcr62toafD4fCoWCtOuyMy8WiwGAmO3tKRQ3C9+Nz2JfpEypKXFQ0wQgd5XaL1JhRsQCRTqdRiwWE+sdpRTemMUonNmJPW3nPNAtQqmCshIjouFwKJYgaoyDwQDBYFBupeMzs8XZLjVQ02brMDVhRjj29m4SKu9zoO+cvl/uIftns4jGjR4MBpHJZJDP5xG13dHMano+n8fv/u7v4vbt23Ihd7PZxPHxMVqtFra2tvA7v/M7uH37tmjCnG8SOEnJMAx4PB5885vfhN/vh2EY+Oyzz+RQ5GU8hmHgww8/xMnJCRqNhsg/AKTLjVkl35nzRFsZW47tWavdIXL9+nXkcjl53kajIT/HdcRsmp2WDocDW1tb6Pf7OD8/F+sp6zG8NIh8wLZ83nkRiUSQSqWwv7+PaDSKwWCA8/NzHB0dSVGMuvHGxgai0Sgmk4nUl5id8SpUymaMzv9bpMv7bGlczmQyMoG88IP37ebzecTjcbGIhUIh6dVeW1vD9va2RGXUXOheYAQQCATEV9fv96UwQKHd5XLhtddew3e+8x3kcjk0m01MJhMxNTNlYwTl9Xqxvr4ukbHT6US9XkcymcTDhw+la403WDmdTrkljIU/9rfbvZW8vIMnKLVeXtZ88+ZNidz4mcFgEL//+7+P73znO3LTGt8fgEgjfAdWet1u99I/mUQbDTtqeJNUOp3Gv/3bv2GxWEjn3ubmJnRdR6/Xw9OnT+Xn4/G4zCO7oGif42Klw4CeZeq3uVxOLvWwt94yK2Exy67X0pGQyWREEuHdBOzk4t3Ni8XzW+XssgEbJ+jO4D/lxEiGuigvI6LVi95qh8MhRUcAS2NHXY/Gfa4Z4As7GFNTymTAF/dEN5tNlMtlubCfjhfeW8EWeE3TkE6nRVah/EAS29/fx+7urnT40cu+WCywt7eH7373u/jWt74l0hIzPBLQ/v4+3n///aXMk3LYVUuex+NBLpeD2/38n0SiM4iV/Pfeew+3bt2SiLRcLsuaicfj8u/AcV3ab0zjO7PLkzfzsdDO4vhwOMT169fx3nvvSaRZrValkMWCFzMDFncZ6bKR4/z8XJpUeDnU9evXkU6nxYHgcDgkM2fEv729jTfeeEMuPd/a2sL6+jouLi4kM3711Vfl0nb+qyZcT5FIRCQnFuWY3X3Vfbov/SfYO53OghuHJ/3V/7YXDPh1hur8XnszAPVgFq3sFiiCpwUjG3ubp72ox++jJmuHvUhlT3+BLySCq8/2ZT9nrwDz8/g99ufkuzLVYKTIKJ3pJDeATMCVdyfsRTX7M18tZtrfl1IM58MeqXPM7QUsfr79ne3zfFVvpsXqy57X/v3c4Pa/tx8u9u/he9rngF1d9s+3+23tn391/Pk1/k579MXfaU+1OTZfNhf273nRO9vXwtXP59ftn8mC4tVxZUTHv+f+sGcJ9nkDvii4schr15avrp8vGy/+t73Vl8/C4hU/4+oY233lV+ePzg/O99U9xDH5sme2d/BdfX5ygT3rYDGP70suuMpZ9ncnZ3DM7fUU+7qzzwnfyf699rG8+t/RaPSF/wT7S0kXwMvjZAUFBQWFL8MLSfcrNd2l3/KC0/7/Jn4TnuFl+Krns3/9N+3ZFRSIl63T/9f34G/aM6hIV0FBQeFXjxeyrvaiLygoKCgo/OqhSFdBQUFhhVCkq6CgoLBCKNJVUFBQWCEU6SooKCisEIp0FRQUFFYIRboKCgoKK4QiXQUFBYUVQpGugoKCwgqhSFdBQUFhhVCkq6CgoLBCKNJVUFBQWCEU6SooKCisEIp0FRQUFFYIRboKCgoKK4QiXQUFBYUVQpGugoKCwgqhSFdBQUFhhVCkq6CgoLBCKNJVUFBQWCEU6SooKCisEIp0FRQUFFYIRboKCgoKK4QiXQUFBYUVQpGugoKCwgqhSFdBQUFhhVCkq6CgoLBCKNJVUFBQWCEU6SooKCisEIp0FRQUFFYIRboKCgoKK4QiXQUFBYUVQpGugoKCwgrh+oqvO1byFAoKCgr/Q6AiXQUFBYUVQpGugoKCwgqhSFdBQUFhhVCkq6CgoLBCKNJVUFBQWCEU6SooKCisEP8bCz0EIencXMgAAAAASUVORK5CYII=\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: 256\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: 256\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: 256\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: 256\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: 256\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: 256\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: 512\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: 512\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: 512\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: 512\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: 49; current eta: 0.5, current beta: 512\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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mQ6VSQTKZ5L2tVCqhVqshl8tRKpUQCoUQDodhNpvR09ODnp4e9PX1obu7GwaDAa1WC9vb22g2mzAajajVamg0Gizw79+/j9XVVeRyuf++0KW4mEKh2BU3o1josWPHMDw8DKlUilwuB7/fj6WlJdy/fx/BYBClUokPrtvthtFohNFoZOsunU5DqVRCq9VCJpOhWq1yHEcikcBgMMBut/OhIqHbbrfRaDQQj8cRDofZFesUbhRn8Xg8yOfzmJqaAvBePMrn80Emk2FiYgKTk5NoNBpYW1vDysoKSqUSbDYbxwONRiO6u7uRSCT44dIa+Hw+NBoNJBIJXnyFQsExK4fDsUtZ0AYplUr891arBYlEwgdorztD7yOhSr+3p6cHuVwOgUAAuVwO9Xqd71smk0Gn08FisWBoaAjj4+OwWCxIp9PY2tpCOp2GwWDAwMAApFIpKpUKNjc30Wg0oFKp2NpqtVp8rXq9HiaTCXK5HIlEAvF4nD0KnU6HXC7HAoeUs9vthl6vR6lUwsbGBkqlEjQaDccJlUolC3CVSoVarYbh4WEAwOHDh+Hz+dhC9/l8KJfLMJlM6OrqgtFoRC6Xw9bWFnK5HHw+H7q6umC1WqFUKjE+Po5sNgvgvRggCdr19XXEYjGO+bdaLVQqFWi1WrhcLjidTmi1Wr4PpVIJnU4Hp9MJo9GIQqGAVCoFqVQKl8sFu92ORqOBbDbL1g+tX7VaZatKLpezkm61WtBoNEin02i32+jp6UF/fz98Ph/sdjvW1tY49kpuKu1xh8OB/v5+GAwG3vPlcpnDAp3QvqI9JpVKWYABYMXZKXDlcjkcDgckEglKpdKuzzWbzRgdHYXP58Ps7CyazSY0Gg3v756eHrb4NRoNALBQp/CVVCrF9PQ0Zmdn+XfOzMxAIpHAYrGgp6eH99l+cfVwOMyCfr/rtlqtqFaryOfzHGe32+3sOZtMJng8HlgsFnR1dfE6UBg0GAzyfujv78fExAQOHTqEkZERGAwGjI6O4ujRo9ja2uI8B1nEKpUKGo2Gz8zDeKTQJc3o8/mwvb2NWCzGWs3n8+HSpUvo6+uDRCKB3+/HP//zPyMYDHIMkZJmlUqFD5bRaIRWq+UgNiUiZDIZb6pGowGLxYKBgQFoNBpMTU2xa0C0Wi1OVikUigcC4J2Jlna7jUqlApVKBa/Xi9HRUXi9XoyPj8PlciGdTkOj0WBnZweFQoGFZSaTgUajwWOPPQatVotgMIhUKsXXXavVOE4K/GdC8ObNm6hUKtja2mLrcNeiy+UsZDstW1qTdru9KyYkk8l4zejnSSnQ8yCLjJSEQqGAzWZDb28vPB4PZDIZW5jpdBpyuRwWiwVqtRqxWAyFQgHZbBZarZZd686kj9lsZoGm1+s59mi32yGXy5FKpaDVapHP56HT6dgiImuckh+5XA4ajQbtdhulUgm3b9/GzZs3YTKZ0N/fD6fTyUqQXLtAIIDR0VEMDQ1Bo9HA4XDAbDYjk8kgkUigXC5DLpfD7/ejXq+jWCwiEAhAqVRCLpdzPJVigJTwymaz7EmRQaFUKuFyuTguVyqVYDAY4HK5YLVa0Wg0sLOzg2azCYvFAqPRiGq1CqVSyVYcCbhGo4FUKoVSqQSz2QyNRgOn04lyuYxisch72uPxwOl0wmazQa1Ww+FwIJlM8jkgq89oNMLj8cBut0OlUvE+ISt8bxyRkkTkAXbSarXYZd575iORCF5//XVMT09z/kQmk7ESpXh/s9mEQqGA3W5HX18fTp48CbVajUwmA6lUCrvdjnw+D6vViomJCZw9exYWiwXnzp3D/Pw8QqEQ/H4/W9wU6trr7dHZUCgUbHzsDS3IZDL09/fj5MmTKJfLCAQCSKfTsNvtUCgU/PkAYDKZ4HK5YDKZUCgU2NOgsGgul0Mmk0E2m0UwGMTs7Cyee+45nDp1Cn19fbh48SJu3bqFeDzO59Fms8HlcqFYLCKXyz1KrD5a6J48eRIjIyPo7u7mi6Y4RrPZhE6ng0QiQb1eRzQaxeLiIhKJBORyOccY5XI5yuUyZDIZbDYbnE4npFIpb/hEIoFKpQKFQgGNRoOxsTEcOXIEAwMD8Hg8yOVy2NjY2DejSBuBsul7N1Vn1p2EssfjwdNPP42+vj62uqrVKnQ6HQscqVSKO3fu4P79+1AoFOjq6oLZbMbs7CxWV1chk8lgtVpRr9eh0+lw+PBhmEwmRKNRlEol3Lx5E5ubm1CpVPB4PAgGg2wJA8D29jbm5uZgt9v5GuhPvV5HKpWCQqGAyWTi+5bL5dBqtUgmk9jY2IBOp0NXVxdGR0fhdrsRDocRi8XYGiGLm5JDGo0G5XIZtVoN6XSaE1E2mw3tdhsajQaFQoFjpeTNmM1m2Gw2dqE7FaLb7YbBYOCwks1mQ61Wg8ViQW9vL2QyGTY3N9myJOWjUqk4+51MJpFKpRCLxfggNRoNrK6u4p133uFDf/bsWYyOjnISTK/XI5/P8wFcXl7GtWvX8PLLL3MW3Wg0stBdXV1FvV6H1WrlxF5n9Qm5ihqNBr29vejt7YXT6WRX1Gazoaenh3/v9vY2ryPtQ4vFwvdDxgQpLlI0sVgMqVQK1WqVvUA6B1RJ0Nvbi5GREdTrdf58l8uF3t5eGI1G1Ot1bG1toVQqwev17oo50t4n72ev1UjPd25uDrFYbLcw+A8XP5lM4gc/+AHHRM1mM7q7u9HT0wONRoN6vQ6bzYa+vj60220MDw9jYmICKpUKN2/e5Osmb1Or1UKv13M4pr+/Hy6Xi3NES0tLXD1AZ7azigZ4T/Cq1Wq43e59E+cA4HK58Nhjj8FgMGBzcxPr6+toNBpoNpsIhUKo1+us1KRSKQwGA3Q6HdrtNjKZDMrlMsslCjlQ5RRZ15QfIflGiX2TyYTBwcF9Kyj28r6JNL1ej1wuh3v37qFcLvPBSCQS8Pv9mJychE6nw8TEBD7zmc8gFAohm80iEAggFAqh0WjAbDZjZGSETXRKPqlUKigUCpRKJT6sbrebrR6Hw4FSqYSRkREub9kLVU7sDbqTNSqRSNDV1QWHwwGVSsXuglar5Thps9lk14AswqmpKaRSKRgMBpw8eRK9vb3o7++H3W7nOF6tVuNraLVaiEajyGazXFJy6NAhnDt3jg8+hQCWl5fxZ3/2ZygWi/jQhz4Eg8HAG0sqlSIcDmN1dRWPP/44uru7dx2KZrOJtbU1DAwMwGq17rL8yKvo6uqCTqdDKpXCysoKstksJBIJ7HY7jh07BqPRiLW1NfZIKJlltVpRLpdRr9d3Jd8sFgsqlQpyuRx0Oh18Ph98Ph9sNhtXKmg0GvT09KBWq0EqlUKr1aJer3N2uVqtcqIOAFuhqVSKlQ0phWq1ilgshkQigUKhALvdDrfbjd7eXqhUKo6NkiFAYYOZmRkkk0no9Xq4XC62aEulEt+TRqOB0WjkvUKxbzImyBKmkiWysChpSQme7u5uhEIhBINBFItFaLVarjSo1+uo1+v8u+hnVSoV4vE4C7KhoSH4fD44HA5UKhVks1kYDAYMDw/DYrGgWCxia2sLWq0Whw4d4vUul8tYXl5GKBSCx+N5wGKNRqO4ceMGhoeHuQqIKBQKuHLlCv76r/8aKysru6zIkZERnDhxAjs7O1hbW+PwDCW2vV4vf47VasXAwACKxSIMBgOkUinW1tYwPT3N1i2Vz5Hr3Ww2eV2cTid0Oh0CgQDm5uZQq9XgdDohkUhQqVR4fxB0vh8m0NRqNXtDWq0WOp2O8wfpdJpLzChUSnkHtVoNq9UKmUyG1dVV9gw8Hg8GBgZgMpng9Xpx5MgRFs5+vx/JZJJDNSRDuru7MTo6yoUFD+ORQlcmk6FYLMLv92N+fn5XrKJYLOLmzZs4deoUjh07xtorHo/D7/fjtddeY5fTZrNx8oMsMLICqFavXC4jmUwiFotBKpWiUCjgzJkzsNvt+OAHP4g333wTb7755q7rI9d1P5rNJgqFAvL5PNfhkUubTqeRTqcRi8VQqVS4dIQ2fmeMplAoYGZmBn6/n128/v5+6HQ61Ot1rrqIx+MolUpsDSaTSaysrLDG70yYVatVvPPOO9BoNBgaGsLk5CRvKqlUis3NTXznO99BOBzGr/3ar8FkMnFogZIykUgE9XqdS7HI2s/n82yBkhKh+JNCoUBPTw8MBgNUKhUCgQAUCgV0Oh2/n9aMkjxkIScSCUilUgwMDKC/vx96vR6JRALb29sol8swGo0sPOjwFYtF1Ov1XXWeZO3k83nk83m2fsmCNRgM7KJls1mUSiUUi0X88Ic/xNraGgs9QiKRIJ1OY2FhgeP+zWYTarWaXXa9Xs/Pv1wuY3t7G0ajcZfFTOGP5eVlrK+vQ6fTwev1YmhoiBOFfr+fY79kGJTLZSwtLSEej3M82GQysYI1GAwwGAzQ6/VotVrQ6/VQq9UYGBjA6OgoTCYT72GyJl0uF+RyOe8trVbLtcESiYSTnaVSieOttH+y2Sy++93v4vr16/j1X/91HD16dNfrKysr+Na3voXbt2+zoqGzLpFIEA6HEQqFuOyQLL54PA61Wg29Xg+DwQC5XI5CocAxdYlEgmKxiEKhwCVuuVwOjUYDLpcLlUoFsVgMkUgEarUaLpeLnwflMtrtNnK5HK/XftD52QuVMlqtViQSCczNzWFxcZFDR6Q4qVqFPkOhUECr1cJiscBut8NkMkGhUKC/vx+XL1/G8PAwP1dK5O2tpioWi1hYWMDg4CBGR0fft5TvkUJ3fX0dmUwGd+7cQTgc3rXZ6/U6/H4/5ubmMDY2xtlA4D0rmJJLrVYL6+vruH79OnZ2duB2u1EsFhGPx9FqtaBWq1EqlRAOhzke3G63sbCwAJVKhWeeeQbHjh3D888/j5mZmV3xkmq1+sigdSqVwvz8PJaWljgW+2//9m+Ynp7muI3VaoXP50OlUsH6+jq2trZgMBhw5MgRjIyMYGtrC6urq0gmk6jVanxIT5w4gVarhUgkwpuUNB7FdkOhECKRyAMbhTSuWq3mzUb/ns/nMTc3h/n5eV6vZ599FgaDgbPoHo8HU1NTkMlkOH/+PMc3Nzc3MT09jbW1NY4/kQBYWVlBLBaDVqvlGCXF/NRqNRqNBrRaLSvJdrsNnU4HjUaDfD7Pgkyn07G7NjU1xYJobGwMPT09SKfTuHHjBubm5lCtVvkAketO4ZCpqSlWHCScenp6YDabsbGxsSvGBgDBYBCxWIyVdKPRYEuoWCzu8sIqlQpbw+Qab25uolAosHWv1+tx+PBhWCwWzM/Po16vY3t7m5WOWq3GxMQEpFIpzGYzwuEwlpeXUSqVMDY2hhMnTsBkMnHzTalUQrPZZCubwid0ABUKBSc5ZTIZnE4nms0mgsEgyuUyXC4XPB4PV3tsbGzgzp07iMfjOHHiBLxeL1f83Lx5E8vLyzh9+jSvLQmsV155BS+++CILnkuXLrEnRcJNrVZzoo+oVCpYXV3lmlYS0jKZjGOkmUyGFVGxWMT9+/e5CkapVMLhcGBgYIATzwsLCygUCpDJZDAajVhcXMT6+jrS6TQsFgsMBgMikQjnPhYXF+FyuVix7UexWHxA6JrNZjz//POYmJhALpfDzMwMXnzxRYRCIf7dPp8Po6OjUKvVaLVaiMfjbBFHo1EsLS1hfX2dlXY8HkcikcDw8DBb7Pl8Hvfv34ff798VLmy329jY2MBbb72FSqUCs9n8UJkEvI/QPX36NAsocqUB7Io/JpNJ1sZUanPjxg3E43FOGC0sLGB+fh49PT2YmJiAzWbblend2trC4uIiH0Jyo6kG2Gg04tKlS3jiiSfw8ssv83VUq1WuE33gxv5jgycSCRSLRS7xiEQimJ+fZ2uO4j8ymYxrUanw/PDhw6w5qU6z3W4jnU4jmUwimUxidnYWOzs7bOGSwCVBujfLSg9JKpXC6/WygKOKjLW1Nfj9fk4UXr9+HQaDAceOHYPdboder8f58+dRr9cxNTWFfD6P06dPc7lQPB7HvXv3EAwG8eyzz2J8fBxGo5FdrWq1CqvVir6+PnbnqBifBCttMNLmJpMJTqeTlcL09DS2trYQCAQ4+Xb37l289dZbHJ8ld446yCjh09XVhd7eXiwsLLC3QzFehUKBQqGAYrG4y4OhKg8KE3S6nY1Gg0uHOkNMVHtLAkGv17OHRTHs3t5etNtt+P1+/p2ZTIarRMrlMjY2NjjhSDHX2dlZFItFdHd3Q6PRwOv1cqWDVCqFxWJhi5DCXJQopkSpWq1mJVCtVuHz+WAwGNBoNDA3N4fXX38dKysr6O7uZo8zmUzizp07CAaDOHnyJM6ePcslfTs7O5iZmcGNGzc4zu33+xEIBHDo0CGO61IstlPZE3vLx+ick/LLZDJs9NhsNv47yQaDwYCjR4/C6XTi7bffZgVHz5Bi0ZT0NRgMMJvNMBgMUCqVKBaL2NnZ4bXaj0QisUsWAcCTTz6JixcvQiKRIJfLYX5+HoFAgGvS4/E4KpUKl9tJpVLObezs7HCZKp0FmUyGeDyOGzduwGAwwGQysfdNHsBearUa8vk87HY7Jicn97124pFCd3BwEOFweN8FUCgUcLvd6Orq4lrR1dVVXL9+HcFgkAu7qbKBSpWoPjKVSrHApNACWS/k8tJmowTP+Pg4rl27xrEmrVa7bxKNrs/j8WBsbAzZbBYOhwPpdBqRSITrUykhGI1GuT2RNB25PTabDT6fj4PqdJgWFxfZAqY4EPCgkN27sYlWqwWbzcaBfNqUzWYTVqsVLpcLKpUK1WoVfr+f44lUAnPp0iW0221sb28jkUjA4XBAq9VyvHZubg4Wi4XLmiwWC6xWKwCwpUtVHzKZjIUBCe9sNsvdWVqtFgqFAolEAjMzM1haWuJ/p4zt0tIStra2OI5Lf0hA0qFPJBIc5qF4L619IBBga66zJZkqPQgK/VA3UafApfshhUvlSBT/pfeQQE0kElzlQtlzWo9kMol4PM5hmcHBQRbe9+7dw8rKCsbGxjA5OQm73c7ty9SFR7F+SrjQ57ZaLU4+azQadm/psE9NTWF+fh6NRoOTPdVqFYlEAtVqFSdOnMClS5e4qaZcLiMcDsPv96NarcJisbDHQkqJLG69Xg+bzfZA9n+//UqGQGcSjjyB4eFhGAwG9Pb2slFDnaR0TeTpUg0yNfHQXpDL5TAYDPB4PLBarbBYLOwx7VdZQcqKkqDAe1bu+Pg4hxOLxSLkcjl0Oh2HtUgp3b17lxs9HA4HLBYLtre3uc7e4/FgcHAQ7XYb8XgcwWAQ169fh9vtxsjICJrNJrq6uuB2u9kI2ytzKD/yKB4pdAOBAOLxOGcWO01qtVqNo0ePsptVrVaxsbGBQCCAWq2GwcFBHD58GMB/9pZrNBpYrVak02lMT08jHo+zhaBWqzlJJZVK0dfXh76+PtZUKysrWFxc3BWfPXXqFI4ePbprA3WWmVgsFjz22GNQq9W4c+cOotEobxCqyKDunM76Y7VazVYFxbpOnDgBvV4PrVaLRCKBW7ducVMFWQSdbdO0RuT671c25vF4ON5I7x8dHcUv/uIvIp/Ps7YOBAIYGRnZdX+0WSORCObm5qDRaJBMJpHL5dgiXV5extDQEA4dOsRZ9J2dHWxubkKr1XJyp3PeQaVS2VWIT8KsVqthZ2eHu7PUajW6u7tht9sRjUZZmJAVTwqAhD0lTIPBICefzGYzSqUSqtUqstksx4BJ6er1+l1WBYVX+vv74Xa7sb29zaVgnbFJg8HAlv3Ozg4UCgXvXQqh5PN53L17l9fS5XJx5Qh1S1FXHylijUaDrq4u7OzscHKGLGaj0ciJOqqhpaYL+lkKMVAnXSQSQSaTgd1uR6vVQjKZ5OadfD4PjUbD3mMkEkG5XIZUKoXH4+FwE/CeMEokElhbW0MymYRUKsWRI0fwC7/wCxgdHYVGo+E9RmGc/eKOGo0GJpOJjSP6bNo7dJapVO/MmTOYnJxEsVhkt//+/ftoNpvY2dnhyhxKklIFTnd3N9RqNa9xuVxGT08Pzpw5g+PHj8NisTxQ/knP99ixYzh58iReeeUVPnPz8/O4f/8+hoeH0Wq10NfXB6/Xywq7WCwim81idXWV78vlcuHkyZOw2+38nIaHhzkGPj8/j8XFRQQCAWxubmJwcBBmsxknT57keDEpfDrPUqkUiUQCgUAAExMTDwpUOvsPfQXgbDJZLLRxqVPm+PHjGBwc5CDzyMgIjh07hnQ6jUOHDqGrqwuVSgVnzpzBE088AbvdDolEglu3bmF6eprdBKqPHBoawuDgIPL5PJxOJ9cr+v1+XLlyBW+//Tby+TyA9xIvIyMj7CJ3CiSCSnkuXLjArrpKpcJHPvIRnD59GuFwGK+99hp3jZF1QgdvamoKSqUSHo8HExMTGBwchEwmQ6PRgNVqZcuwXC4jFovxtQHvFYo/99xzGBoawje/+U0+4AQNAeocEiKXy2E0GnHmzBmEw2EudSqVSrh8+fKuQStKpZJnA8zPz6NWq7GX0NvbywmNzhhmd3c3d45RBx8lcqhdM5/Pw2QywWazsfWXTqeRSCSwvr6OUqkEnU4Hh8OB3t5eqNVq1Go1jI6OQq/Xs8dCRehkxbRaLRa45XKZD7hMJuNyLfpDNcRutxuRSAT5fJ5dTkpwjIyMYHl5Ga+//jqCwSB7CaSMKK5LA3lofSnGTBU0Go0G/f39fEhTqRQ2NjbY3aT5Bz09PZwQplBDIpFAqVTC2toams0md+BVKhVsbGxgZ2cHuVwORqMRPT09nCXPZrNYX19HKBTiygDqsKMSta6uLuj1eiiVSqysrGBpaQkqlYpDXvT86Dw2Gg2srKwgGo3C6XTi4sWLOH36NMfACbI29/PAJiYm8Pzzz2N5eRnf+973EI1GAbyXlCavhoY1UYPToUOHOMF0//59TtrK5XL4fD5YrVZkMhlez/HxcTz77LPo6enB7du3ceXKFVQqFYyPj+Pxxx/nSohOOs+1y+XC6OgoXn31VbRaLeTzebzxxhuoVqv48Ic/jJGRETgcDgwPD3PoYnV1Fbdv3+a4O33m2NgYzp07h3a7jZ2dHZRKJU50kmditVq5CoQaRSYnJ/Hmm28il8uxECeh+355JuB9hC71yZOWUqlU0Gq18Hq9ux4+afDDhw9zyROVEsViMYyPj+Ps2bM83GZlZWXXwlIM1efz4fDhw9ja2oLZbIZOp0MwGMS//Mu/4M6dO7usRdJg5DI+6h7MZjOOHz/Og0++8IUvoLe3F7FYjEta6vU6xsfHodfrce/ePR7G4nQ6uWB/e3ub3ZszZ87A4XDAYDBgenoaV65c4evp6+vDV77yFXzuc59Dq9XCj3/84weELk1x2q/mkOK2r7zyCubm5tia7gzzUAeOXq9HNptFvV5Hf38/WzZ0LSTYqF6y2WwiEAhwaIfqkrPZLKLRKHs2breblWQikeBQg9ls5hZmj8eDVqsFrVaL0dFRFAoF3L9/H6FQiOshzWYzx+uoQqTzOVJzC1lSVNN6+PBhXLx4EdlsFisrK1xwPzk5iY985CNwu904evQoNBoN7t27h1arBYvFwm7vm2++iUQiwQX8ZIFTjJXis52hB/JMKN9gMBjg8/lw9OhR6HQ61Go1nkpHJXWNRgOFQgGbm5ts6ZMlSLXHLpeLzxJZijs7OzCZTBgYGODZE+VyGTabDWfPnuWuQqqOCAaDu0qdOt1vmogXDoeRTCYxOTmJxx577AGBS+tLMzD24vV68bGPfQwSiQQ9PT34+te/jkgkwhb8hQsXMDk5iVwux5YszYFoNptwu93smUokEvT19eHo0aPI5/NYWFiAQqHAU089hQ9+8INwOp0YHR3lUN6xY8ceObGQzniz2UQul9vl3ebzefzkJz9BqVTCL//yL8Pr9aKrqwtarRZdXV1oNBrc6NG5Dg6Hg3NM+Xwet27d4mSe1+tFX18fent7MTY2xlY7KWEa7BMKhVAqlbjKg5rCHsUjhe4PfvADLC0tcRG11WrF8ePHMTY2xj3oR44cgc/n4xgN1dH5/X7Mzs5y2RjVriUSCczPz3NWkzpjSINubGxgY2ODLd2lpSUsLy8/4J4D4MOxH51zGkgjarVa+Hw+joUmk0nodDpYrVZsbm5idXUVSqUSqVSKNRzNLJidnUW9XofX6+VicK/Xi2q1uqv7yeFw4POf/zw+/vGPc4Jp79Ab4L2JSE8++eRD197j8cDr9aJcLiMajSIcDu97j/F4HJFIBAC42aK3txcKhQLFYhGJRAKhUIibIQDwYJbt7W1IJJJd3UwkmAuFAtc0UsJLr9ezoqUSQLpn6u5Jp9O88VqtFnddFYtFpFIpDld0PjsaF0ntwRRmuXz5MhQKBceoi8UiTpw4gb6+PiiVSvT29uL06dMsoMgboTrf27dv83VTVyL96QxTpdNprK6uckljq9XieCw1KlBIorNBhLwV+jyq+6axnaRMqIyuM1fQWSVCzRSxWAwSiQTDw8NckkiVHCTIOptIOgmHwxzm8Xq96Onpeejeevrpp3HmzBm8+uqru/59bm4Oy8vLOHHiBD7xiU8gmUzi29/+NtfUm81mHDt2DEqlEsFgEGtra1hYWGCFcOjQIYyOjiIYDHItK3lhtVqNBWEikWAF5fV6uUmCjAuywvcTXjS1by+VSgVLS0tYWlqCVqtFOBxGPB7nRg0K71CDQy6Xw9zcHC5cuMAx7vX1dbz11luw2+04cuQIK3BScDR7we/3w2w244knnsDS0hJmZmb4Gb311ltIJpP4zGc+89D1f6TQvXLlClcYSKVSmEwmLqJfWVnB5uYmMpkMW5uFQgGBQADT09OcQaxUKrh+/Trsdju8Xi9CoRAqlQprcQqsVyoV3L17FzKZjKc80cQemuLVCfXgk6u0tzGCzH6ZTIaNjQ1873vfY4uIxh+qVCpYLBaoVCokEgm2wNVqNYaGhjAwMACJRIKFhQW8++67vCEoW02H1e/3Q6lUcjPExYsXeSTk3/zN32BpaemB67906RLXKu5nqdMULLKk3n33XVQqFajVav6ZWCzGQ2KA/+zaoTZtsp4o1t4Z26QEB7WwGo1Gdp9JIFJDQaeVTUKKrESbzQaZTMbTviheq1Qqeb4BVTAA4M1PIQWqn6S4I8X9qJyOEludNdl0YOm/nckiGoRC4QuaA0DeFDV/qFQqVpSVSoUH7ajVau4eq9VqCAaDcDgcrKyr1SqSySTC4TB3MlIyVyKR8LVQXFqlUqFUKnG8vVarcXllJpNBJpPha6bxg0qlEtVqFcFgEDMzM1hYWEA0GuXGmu3tbdjtdt4H5XIZ09PTyGazvG8elmAGgK6uLly6dOkBobu4uIi//du/xVe+8hXYbDZcunQJ2WyW61LJkKJzUavVeMIbQU0F1GARCoV2eSHFYhE//vGPUavVYLVasbGxgZmZGW6r9ng8/JxpQBZBsfXu7m6evdFJOp3G1atXEQqFsLm5iWw2i4WFBZYHnYnjTi+Ccg3Xr1/HysoKJ9sLhQI3tpC3ROG5UqmE7u5uDA0NIRgMsrdJdd6P4pFClzqZKO5I7ZBmsxlutxv9/f1c0kKHOBqNIpVK7cocLi8v41vf+hYGBwcxODiIkydPAnhvHCC1AWcyGa4qIHd3Y2MD2Wz2AWtWLpdjZGQEg4ODvMlJG3UG/un/5+fncfXqVS7pSKfTiEaj3A1E90RDTkwmE0wmE4/1o+QguWuxWIybLCiONj4+jk996lMYGRlBo9GA3+/Hq6++itdee+2BdVWpVLs6zfZDIpGwa16pVDA7O4toNIr+/n5OLFC5FVmOyWQSi4uLHPJRq9WIx+PY2dnhSg0A3L1Gz7azcJyUJ81IoGQWlWyRa0zlXW63m7PJi4uLnKWm9lMSbuTed258EmL0+QqFAn19fRgaGoLD4WBlsrKywl4JrbvBYEAul+PyLgpbUVWKw+HAk08+ibW1NW7hVKlUcDgc7I5T8o+aBCghCvxncw2VENKYylKphO3tbS5vpMoQymvkcjluL6ZuNLpuMjLo8/P5PBsU9Dw0Gg0nGClhk0qlWFiT8uv05La2tniyFlmkdBb2KnT6t+7ublaMnbzyyitwuVy4fPkyzGYzvvjFL+LcuXN48cUX4ff7USgUMDIyArPZzDmMzlremZkZ9PX18XArquYxm82w2+1sBG1ubqKrqwuFQoEn/VEHJin6znsEwPJkcHAQIyMjmJ6e3mX112o1LC0tIRqNsjKmfgFS+tQ0c/r0aUxOTiIcDuPq1atYX1/nKqZGo8EleltbW2wEymQy9PT04PDhwwgGgzyLg+Zg0JiE/TpnO3nfb46gD6MkhNVq5YlT1G4KvBeboy4i6junGB65YOVymctChoaGsLm5iXQ6zZOQ6GCSFqXP2Yter8fIyAjX+1JMpdMyokNNWmxnZ4fLdAwGAwuQlZUVpNNpttpo1KRcLsfm5iZCoRDkcjm8Xi/MZjNMJhNisRiXSNHEqb6+Pjz++ONQqVS4c+cOXn/9dVy5cmXf4ReUuHmYlUsCtaenB729vZxFvXXrFvr7+/k95D1QKIFmAlACplqtciac+vOpfZky9WT1pVIpvtZYLMbJN4PBgHq9zu3NmUwGtVqNkzeULadQBiWzqAnD6XRCrVZzxr/dbsPlcmFkZAQKhQKrq6v8DORyOcbHx3Hx4kUAwPLyMuLxOOLxOM9gKBaLmJ+f5/IrmoRVKpUwPz+PRCIBp9OJ7u5udHV1QaFQIBqNol6vw2KxYGRkBENDQ1yKR0XyNpsNVqsVlUoF8Xicmyuy2SzH7SiG2zkPOJPJ8L6gbqZ8Ps+dVVRNQoOGyOKiMA0lY2gWNe1Vmte8vb3NYQ25XM5lWZ175+bNmwgEApBKpejt7UVPTw+azea+7jl5a/39/RgYGHjAC8tms3j55ZfRbDZx+fJlnDp1Cna7He+88w5u376NVCqFaDSK7u5uHsYzMjKCdDqNer2OUCjEMeCuri4OT0kkEmxsbCCXy7GyjMViXMFAXgU16dB1Ut07ldnVajXY7XYMDw9zi3snVAlD4Sr6OVoPuVwOl8uFwcFBboxZWFjgMBgJZ6rkoSFNlOynmSeZTIZDk9Q997AE5V5+qq/rIfdSIpEgEomgWq3yMAy32w2v14tarcaxqWw2y9OVAHBSZXh4mC1jajOltk9q16M6USpi3wslefr6+riWkhQCuaj0wMrlMmZmZjA9Pc0zgMmlUygUiMViXHVAc2cp3EBhCJPJBKPRyJO36KBls1l2z5vNJq5evcqZ88XFRdy6dQvb29sPXH9/fz9+9Vd/lUfN7fcVN3QA+/v78dxzz+Hv//7vsb29jStXruCJJ56A0+lEq9WC0WjE0aNH8dJLLyEcDrO7TG20NPowlUpxWR4plE7votV679sRzGbzLsuWYpA09o4mMul0OiiVStTrdZ60ROtgMpm49M/pdGJsbAxyuRwLCws8HtNut2N8fJw/g2qdjUYjXC4XjEYjEokEu2pUMUFhApqJSsN4crkct8VGIhEWTDabjROC+XweNpuNp8uRZ0BZdYvFwpl4auslC50SR2TZURa7XC5zDDubzcJqtUKr1XJYhV6nJgg6+NQIQsqIzk2tVoPNZoPNZuPOtEKhwLNJent7MTExAaPRyCG/ra0t/OhHP0KhUEBvby+ee+45+Hw+bljab0Rio9FAT08Pnn/+efzN3/wNgsHgrte3t7dx8+ZNHrC+ubmJN998k/MwNJGOvumCxilmMhn2nqipwO12s0t+79497o7L5XJIpVIAwK2509PTOHHiBCYnJ1loUtydZn/QXvH5fHC73dzktF9tPM0cJo+GutNofrNMJoPH48Hw8DAnjEkhpFIpHn5DPQUUy7579y5WVlYQj8dZXtGwnp+Z0CU3VqlUYnt7mwXO6uoqXn/9dU6mdXV14fz58/yg0+k0CzOqHnA4HJxooYn71NlE5TzU/UKzSDvRaDR45plncP78eS51ogQSxQFpY62treHmzZsYGBjAk08+CYPBgI2NDfz7v/87f3sA1QePjo5iZGSEN1Wz2cT4+Dg/dJqzkM/nuSuGWoNpsPfKygoOHTrEXTkrKyu7rn1oaAh/9Ed/hHPnznF8dT+hSy5TX18ffvM3fxMOhwPf+MY3EAwGMT8/D7PZzCGBy5cvo1ar4Rvf+AZWVla4y4dCPydPnoTf78fKygoP8KGB8tQKHY1GecoVhY4onkblP9TiSnE3mnZFFhgN7rbb7XA4HADAljiVndHAnNHRUZ7ZOjQ0BKPRyGMiu7q6OMTRbDa5xZaSMTQjYWdnhydF0ZAcANz1RSM6Jycnuba22WzC5XJxEowSwqVSCV1dXfB4PBz6cLvdXEq0s7Oza6A7leZlMhmutaWJWkajka+BOiapvtbtdnM8kkrLqKC/u7sbw8PDXPJEA9FpotXk5CS+/OUv4+mnn94Vc56bm8Pm5ibGxsbw5S9/GR//+Mf59Yc1QDQaDeh0Os70/97v/d6uOCQV+WcyGfzd3/0dFhcXeX1p6Dc1DVEFD9Umd1qX1IVI4TZqn+2sN37yySfR19eHfD6PUCiEmzdvwmg0chcdVRcB4IH1MpkM586dQyaTwcbGxi53nhooaGYuzYjI5/Mwm80YHBxEd3c3RkZGcPz4ceh0Ojz++OOYnZ3Fu+++i1AohEKhAIvFgrNnz+L06dNwu908a3dubg6rq6vsJdLzpq+b+ml4pNClkiFyr0+cOMEJBbImc7kc0uk0jh8/ju7ubgwODmJsbAznz5/nQns6qNROR3EkvV7P8SDKltNnZjIZzMzMYGpqimOt9Xodk5OT+JVf+RX4fD6OwdBAik6NTqVAg4ODOH/+PMdQ6/U6xsbG8MMf/hA2mw3Dw8M8wUqv13NNoUql4q+eISFAgoO++4vKkWix5XI5Dh06hE996lPshi8sLKDVakGpVOKrX/0qPvWpT7H2JYHeed1SqZS/5FEieW+q0m/8xm/AYrHg6tWrKJVK7BUA7xW7f/azn8WRI0fwwgsvIBKJcKnTE088wRbT3NwcfvKTn6DRaGB8fJzrcFutFlZWVjA9Pc0F4mNjY6z8yKqpVCqw2WwYGhriEiiaKNbZHUaT42jQDw16MRqNXJLndDrZJaPaVfJUSEBT0rBUKvF4SIvFAq/XywPNqYxnY2MDfX19PP6QJn5R19HRo0f5mxtIkNPa9ff3o1gswmKxsCKgr9ihGuRqtcrf7UeVHGRFxWIx7kykJBZZsrlcDsvLy1hZWYFWq8WpU6cwODgIqVTK4R2yRp966ikcOXIEWq0W2WwWV69eRTQa5bPz2c9+FuPj47vOJ1VLHD58GE899RQ++clPckx7b4y6UyjJZDLugPv0pz+NRCKBP/7jP+aE+MTEBD73uc+xYqU2dzqzNDv31KlT7JnQMHsqmdvY2OCKBSrZpAHkfr8fqVQKH/3oR/HMM8/wXo5EIjyLuvPaqczN6XSywdbV1QWXy4WFhQXcu3ePZYdOp8Pp06dx9OhRVoIkO2jucLPZxPDwMI9ApYqk06dPcxu4VqvF4OAgy8BwOMwjVz/wgQ/wWkokEv4qIpqq+H7W7iO/gj2dTrdJgFEShKxYErr0MPZ+6+reB7334ZPJT59NUGy3MzDdqbEpK9wZaH/Y76UuM8qAdioLKkEjbUrXRwKRlM3ezhiKP3fOWuDFlEjYI2i1WhzPplg1KZn/DnTNJJT3iwU3Gg1eLwrVdL6PKgDofukPWSb0c53r0em6Uaz8/a6z87/7sd+177fOnfdFz5Ji9/Qc6VmQIuqsX91vsP3DrvdR1/moOnAAPOSI3tu5dhST7EwidiZCye3t/NYHSjDSz+0dc9j5Pnre5I7/dyDPgM4jVXGQN7rXbaYqEXoWe9eZzhAJ+M4Je7QeAPiaO+UDvbbf/dJnA+B1pC5Ggtarc4/vJ1/Io9m7ng9bQ0q40rXRdXdWz3S2q1ssloc+jEcKXQDvH6AQCAQCwV4eKnQfGV7YK5D/u5r0f8L/hmt4GPsprP3cuYe9JhD8b+FR+/Sn2ec/L/63XNt/RU4JS1cgEAh+9jxU6j66SVggEAgEP1OE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOEDk7/O65ECuQiAQCP6PICxdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIIDRAhdgUAgOECE0BUIBIID5P8BifVtoiDaGFsAAAAASUVORK5CYII=\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: 512\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: 51; current eta: 0.5, current beta: 512\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: 512\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: 512\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: 512\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: 512\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: 512\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: 512\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: 512\n", "Starting forward run...\n", "Starting adjoint run...\n", "Calculating gradient...\n" ] }, { "data": { "image/png": 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7G5ubm2yvurq6YDabYTAYYLVaYTQa0Ww2EQwGkc/nYTQaUalU0Gw2kc/n8dJLL0GlUuGdd95BKpW6n1m9v9Elj1YqlfLpWiwWebONjIygp6cHMpkMqVSKQ9FwOMx/r9frGBoagtFohFarhclkgsFggF6v5/xSqVSCRqNhL4ImhEK8aDSKUCjERpcMwPb2NkKhEOeTWg2WXC6H2WyGx+PBm2++iYsXL6Jer0On0yEQCKBWq2H//v04duwYDAYDEokExsfHUSwWoVQqeYwejwd9fX1IJpMcbtTrdRiNRuzbtw+5XA7hcBjpdJofYjweR7FYbMvRtXq7W1tbbXlAMjr0+jvzeM1mk9M0zWYTer0eXq+XDYbD4YBOp4Pdbkc+n+ew1GKxQKPRYM+ePQgEAiiXy+wh2Gw2WK1W6HQ61Go1bGxsYHt7m1NKGo2GNzOtAzrxc7kcRzBkdOjnKITPZDKcq87n8wiFQsjn8wgGg9BqtUilUqhUKtje3sbKygoMBgMqlQq6u7tRrVYxMDCAoaEhOBwOxGIx9PT0oFQqcYirUCj4IJJKpejr60Nvby/8fj/UajVCoRCHzNlsFq+99hqy2SzW19cRi8U46snn80ilUtDpdPB4PDwf6XQa2WwWAKDRaKDVavl9KhQKKBQKnj+K4ih/SM4FAESjUWQyGTgcDvh8PvT19SGfz0MikXCk4vV60dPTA6fTifn5eRSLRSgUCo4gdDodZDIZisUirFYrOjs74fV6odPp0Gg0UCqV2sJiorV2Qc4O1VfK5TK2trbuWJsymYx/VyKRAAAolUo0m00YDAY+2CYnJ/m90iHY39/Pc2gwGDjalUqlGBwchMViQSaTwcWLFzE9PQ2lUolEIoH19XXI5XI89dRT7JXK5fI7FBa1Wg3hcJgP7NZxy+VydHR0wG63o1wuI5vNol6vQ6lUwmg0sgOgUql4b7hcLkilUmQyGWSzWayurmJ2dhYymQxutxu9vb1wu91wu93o7++H2WxGf38/9u3bh/X1dVQqFa450HjVavW75uHva3TlcjkcDge8Xi8SiQQkEgl7OCaTCSdPnoTP54NEIsHKygp+/OMfc5hEIa9Wq2XvivJ9tGgLhQJKpRLkcjn0ej06OzuRTqdhNpthtVoRCAQgk8nw1ltvYXt7G9VqlcdWq9U4mU2exr2kRYVCgY1iX18fTp48CZfLheHhYXi9XlQqFczOzmJpaQkdHR3w+XycFzKbzXjyySeh0+kwOzuLRCLBD1yr1cLv96Ozs5MXc71ex9WrV6FSqTA9PX3X0I8WEP29tYBBr936czKZDCqVCo1GA7lcjosNUqkU3d3dsNls0Gg00Gg0yGazbekWWow6nQ5ra2vIZDLI5XLQarWwWq0wGAxIJpOoVCqcg9XpdFAoFBxakcHR6XRQq9W8IckA1mo1TheQAdBqtWg0Gsjn8+wJZbNZ5HI5qNVqjmCWl5dx+fJlmEwmzisXCgU+AF0uF5LJJPr7+2G32zkXR7k5qg1YLBbcunWLD/25uTku9t66dQtLS0vIZDIAALVaDZ1Oh3Q6zQeZRqPh90HpBZPJxN4spSPo/UqlUlitVmg0GpRKJR5LoVDgFBt5xdlsFhaLBSaTCWazuS0lIpPJoNFo4Pf7Ybfb2SEAbkc45G3l83mUy2UYjUZIpVLk83kAt50fnU7HxcZWWusrO/cGFSR3QtGAwWDAtWvXAAA6nQ5SqRSdnZ3w+/0cetfrdSgUCthsNgwODuKBBx6AyWRCpVKB1WpFT08PQqEQjEYjuru7sWfPHiiVSuzfvx/T09N84JIBJ4du53joj1Kp5P1Mc0TQwXv8+HHU63Wsrq4ikUjA5XLB5/NBp9NxmkytVsPhcHDNgwr1tDcKhQISiQTC4TCn5T72sY/h4MGD6OzsxMmTJ9km0byazWaYzWZsbGwgHo/f8T5aua/RPX78OIaGhtDV1cUGkqrDFOqRAUmlUlhbW8PW1hYUCgWnI6rVKrLZLBqNBvR6PYdT9DN0mlqtVnR0dODEiROQSqXw+XxwOBxIJBJYWlq66/ikUimcTmdbIY+gh5jJZNgLkUqlsNvtePDBB+F2uzl0JgNQqVRgt9vhdDoRDAYRDAYBAJ2dnfjQhz4Et9uNhYUF2O12dHd3Q61Wo7u7G4888ggmJyexsbGBcrmMt99+GxsbG6jX67DZbCgUCm2V1kgkgsnJSdjtdq4Q059qtcrhj06n44cql8uhVquxtraGd955B41GA/v27cPhw4fRaDSQTqcRj8ehUCjg9Xqh0WiQSCQ4v2s2m7nSTsYvl8vBZrMBABQKBUcZer2eVQoOhwMdHR08T/SeBgYGYDabIZPJEIlEsLm5iXg8jlKpBL1eD7vdDrlcjmw2i1KphFqt1qY+oMikVCqhWCwim82yZ0TpqWvXrkGtVsPtduPo0aPYs2dP24GRSCRQKBSg1+sRCoVw7ty5ttyoxWLhrwWDQdTrdT5EpFIpisUiCoUCG1IaO4WTer0e+XwearUadrsdXq8XHR0dqNfrSKVSfKBYLBYolUpUq1VEIhFEo1Gea0rJKBQKTsPE4/E2o1koFDhnLJVKEQgEYLVaeQ+p1Wr4/X6YTCZIpVJsbm7i7bffhkwmw8mTJ2Gz2dq8XAp5q9UqHxStUWCxWMTk5CQikcgd+8lut2N5eRlra2tYX19HuVzmcHtkZASBQAAajQbd3d04dOgQ4vE4BgYGcOjQIWg0Gly9epVfj3K1tL8A8Hux2WwIhUJsG1r3KzlnrYcIeZFOp/OeOWy3242HH34YFosF29vbCAaDfOhEo9E2W1Ov1zk6oIM2k8lwHYQUJdVqFeVyGalUig09FYopbUiGPBAIQCqVcmrkXtzX6P7pn/4pAGB7exs3btzgwQFALBbD5OQkDh8+DKvViqGhIfzO7/wO1tbWEI/HMT09jaWlJQ7F+/r60N3dzYoAh8MBt9uNZrOJRCKBTCYDk8kEm80Gi8UCn88Hm80Go9GInp4eKJVKTuYTtImA9mouKRzy+Tzq9Trcbjc6OzshlUqxd+9e9Pf3Q6/X84TmcjkeAz38qakprK6uQqlU4uTJk+jr68PY2Bj27t0Lj8fDm4+Mk1wuRzwe53xVPB5HX18f9u/fD4lEgmAwyHmmhYUF/OVf/iVisRg+/OEPcwWXQsDNzU1sbm7i0KFDsNvtv3pY/27E3nzzTQQCAZw5cwZut5uNLr1nl8vF3sn8/Dyi0ShvqNHRUWxsbGBpaQmRSATFYhF2ux0WiwX1ep09CvLknU4nvF4vAHBYbLVa4XQ6YTKZUKvV2IvLZrN8wFGISkqVWq3WJt2htBVtSgAcFtKBQId2PB7nEJukbYVCgX82EolgenoaU1NTSKfTUCgU0Gg0kMvl7CDQ/Gm1WhgMBs6/Ar/KmdM4ZTIZh/aUajEajXA6nXA6nZDL5UilUohEIkgkEuxR0zPM5XKo1WpckAVue0KUK85ms+wJUu4wnU4jHA7zIed2u5HP57G1tQWdTofu7m72cpVKJV599VUEg0GMjIy0yRtpb16/fh1erxeDg4NtYXoymcSLL76Iv//7v8fCwgJHWHK5HJ2dnRgZGUGhUODIQCKRwOfz4eDBgxgbG4PRaIRGo8Ho6Ci8Xi/C4TA0Gg0MBgMWFhZw8eJFVKtVBAIB3qOZTAbxeBy5XI7TVnq9Hnq9Hmtra5idnUWz2WSlBx10re+L9rdGo+H10opKpUJ3dzf8fj97/hKJBMlkErFYDOl0Gs1mE1arFR6PBw6HA1arlSOZfD6P6elpNrZerxd79+6F3W6H3+/H0NAQms0motEoJicnEYvFONdMa7GrqwtHjx69bxMP8C5GNxAIYHt7G+vr65icnOQqPW3AK1eu4OTJkzhx4gQ8Hg9sNhsSiQQWFxeRy+UQCoWg0Wj4TZJ0CADnxCjBH4vFsLS0hIWFBahUKs4dmc1mPPzww3jppZcwPj7eNr5cLnfXBwDcDp9IV2wymeBwOFAul9nbaDabbKjI00gmk6xZNJlMAG7n5C5evIi5uTlIJBI4nU7Y7XZUKhUOsxOJBNLpNG9cKu40Gg2WYbXmdovFIq5cuYJ6vY7e3l6cOnUKwK8KAxMTE3j++edx+vRpfPrTn4bBYGjTSNZqNUQiET5pSSdL702v1/MB1t/fzwtYoVCgs7MTer2elSW0ESQSCRtqil7IQyqXy6xRtVqtsFgsqNVqmJ+fRzgcRrFYhMFggMPhQLVaxcrKCubm5lhLSTk/0s1qNBpkMhmWjFEBSK/XQ6vVIpvNskGlkJAKYwaDAUqlkgurlUqFVS+0sSg9QweHTqfjg4T05lqtFmazGSqVirXn+XweyWQSGxsbMJvN6O7uRnd3N8vZqHDrdrths9lgNptRr9eRSCSQy+X4fdC80ZyTwaAUjEQigcfjwdDQEEvZVCoVfD4furq62HPN5XLY2tpCZ2cnv2ZroY8Me6vWOJPJ4F/+5V9w9uxZPPPMMxgcHOR1BwATExN47rnnMD4+zs8UAGvTo9Eoe+O1Wo09+HQ6zbUIqhVUKhUEg0FEIhE0m03E43FEo1GOquhnTCYTIpEIVlZWsL29zfUW4PZBazAYWOtaKpWQyWTuKaGkoulO+vv78dBDD8FoNCKZTGJ8fBwTExMol8tcJ6HDzGKxcGRAkkan0wmPx8NOod/vxyOPPIK+vj5YLBaoVCqUy2XMzc3hypUrbWPIZrOYnJzE6OgoAoEAnE7nXcdO3Nfobm9vY3Z2Fq+//jpWVlbaLHiz2cT6+jpmZ2cxOjrKJ0utVmNXnk6Nra0trvrbbDYuoFSrVa7AhkIhrKysIJ1OAwDm5uagUqnw4IMP4uDBg/jEJz7BUg2CHtC9SCQSWFhYwPr6Ooesr776Ks6fP49kMolSqQSLxQKHw4FMJoNQKMQFHqfTib1792J5eRmrq6sYHx9HuVyG1WpFMpnEsWPHUKlUMDMzg+XlZUQiEQ6VSCxOqgCqsrfOnUKh4EaJVra2tnD27FnWqRoMBpw+fZpVI06nE4cOHcKFCxfw/PPP4+mnn4bT6UQymcTMzAwuXrwIh8OBY8eOoaurCy6XC0qlEsvLy5ienoZKpeLQmYwGFaXkcjkbKOB23p5+L3mFxWKR39fMzAzW19fZy6B85K1btzA7O4tisQitVgu73c4FDYparly5gng8zjpIg8EAn88HvV6PaDTKc0gFxmQyybIpOpzov6QsoVCyVahPXn8ul2NPnDyp/v5+lMtlLC8vc7QQjUZRLBah0Wi4ai+TybC6uorV1VVUKhX4fD7s3bsXLperrbmB3qPT6eQIjNInANiDpv+SY1Iul+H1etHb28tpk/HxcbzzzjuIxWI4efIkF5jC4TB++tOfYmtrC4888ggcDgdHEel0Gq+88gq++93vYnV1FQ6HAw8++CA6Ozt5fVFjA6WLiEqlgvX1dU6LUVGXwu7x8XGEQiH09PRgaGgICoUCly5dwoULF5BIJFjOFggE0NPTg1wuh42NDUQiEfYi6f+TySTUajUsFguq1SpyuRwsFgvW19e5QaGrq+uue5ocqVbUajWeeeYZjI6OolKp4ObNm3j++ecxPz8PiUQCk8mE7u5uTltUKhVEo1F+ZrFYDMvLy6yaooM0FovB7/dzpFAoFHDr1i1sbGzcYQtJMeNwOADcPgTuxX2NLoXg5FURrYl5qvxpNBqkUincuHEDb7/9NsLhMGQyGarVKiYnJzEzMwOXy8XaVCoy5PN5rKysYHp6GltbW+xhkTRkZGQELpcLTzzxBF555RW8/vrrbQuFJm+nUFypVHJ1NJvNwmw2o1arcehOxlqv16OjowNyuRyxWKwtx9fT08MNGuFwmI3q2toarFYrwuEwrl+/jkgkwoUT6uK6X8GCwrnBwUF4vd42SczVq1cxMzPDHtlrr70GjUaDI0eOoKOjAzabDR/5yEcgl8tx+fJlVCoVPPjgg6zl3NjYwMTEBFZXV/HYY49hbGwMHR0dXEWnTr6+vj7O55KBaTabsNvtMBqN7GmSAqPVowyFQtje3uYNRd13MzMznDPOZrNsGLPZLIdxKpWKQ3FSPFBnI/373Z5nawdda/6Surx2znFrBVmn07GGmRQQ9OxpHOVymb2oYrGIcrmMqakprqzT86nX61hbW0OhUODUi9vt5qIbpbNo/WWzWcRiMa5ykwGmnC3pz41GIxwOByqVCq5fv46zZ89ieXkZVqsVhUIB0WgUa2tr+OUvf4nFxUU89thjOHPmDKxWK0c+V65cweuvv84e/+TkJK5duwabzcbRRmdnJwYHB3H58uU75owip1bPmbTQ+Xwe6+vrWF9fRyaTgdPpZEkdvSeTycTpt+vXryMejyOTyXBarVqtIhaLccRsMpng8Xjg9Xo5PZVMJtvSMjvXQzQavUOfe+LECTz22GOQyWRIp9OYmprC4uIiEokE69hJEVIul3k9rK6uIhqNYm5uDltbW5x/l0qlCIVCuHjxIuRyOY4ePcrjI0XLzvVZKpUQiURQrVbfVXd/X6NbLBbbFmkrCoWC5RTU3HDr1i289tprfML4fD6o1WqEw+G2U490gpubm6w9TafT7HW1thlS94hCocDo6CjGx8c5BdAqcN85EQqFAoFAAJFIBGq1GuVyGWtra0ilUvw7SHFA4nB6r9QIUCqVYLfbMTQ0xA9cr9dDpVLh2rVrmJ2dRSQS4SJda6socb/8DoUzZHRJguJ2u1EoFGA2m1EsFjExMQG73c7V8q6uLnzoQx/iXPHq6ipcLhc0Gg0sFgtisRjrl71eL/x+P5xOJ3w+H6rVKtxuN5xOJ3uZ5MkqFAoWhheLRUSjUX4ulBbZ3t7G4uIiFw9I6heJRJBKpfhAofwr5eUoTTA3N8fFI9rglMejGkA+n2d5VmvbL80n5b7JC27VOLeG9blcDnNzc5wDpteSSCQoFAqYnZ1lyRgZafq95O1EIhFIJBKYzWZOkVFujzosqTBEqTKz2YyOjg5WeqRSKY4kqGjUaDSwtbXFagyHw8H65fHxcfa+rVYr1Go1kskkp3JOnDiBM2fOcK69UChgZWUFExMTvGblcjncbjdL0+g5GI1GuN3ue67JnWuXukCB2wdfKpVCMpnE0NAQ1Go1e7UdHR0YGhqCzWbjtBul2EqlEjtHrekmKtpSblulUqGnpweBQOAO+RuNi3LBxWKRvdjR0VGud5Cqx2AwIJfL8UEdjUZx5coVTExMcP7abrcjFothYWEB1WoVnZ2d6O7uRqlUQjqdxvT0NHerDQ4OolarwePxwO12IxwOc8GWbA8dzHdLf7RyX6M7Pj6OjY0Nzve0SrbUajX27duHsbExWCwWFItFBINBLC0tIZvNwufzYWBgAEajEQaDgavvLpeLwyeSXCiVSmg0GthsNuj1esjlcgQCAXi9Xva0FxcXsbq62lYwO3bsGMbGxtoWCn2NOqGOHj0Ku93OyW8qYvh8Ps5r0oakRL1cLsfa2hoajQaP/8SJE5wbDYVCePvttzmF0tov3zoWtVqNjo4Ozp22Tbxc3lbwogX14IMPotFo4Cc/+QnnmWdmZtDb24vR0VF+fyTTiUQimJmZwcLCArLZLKdsSqUSRxB0wBiNRsTjcSSTSVgsFvaASCsNgENl8khJqkQLke6b0Gg03PBCyoXWzUHhI+X/yLitr69z6yXJi0jJQoVMKnjtvEuBNqpSqeRopNUY0/eRfK5QKLB3TweHRqNhw7qwsMAHvdFo5C6zZDLJ6Qxab3K5HDabDV6vF6VSCZubm6w0yWQynLJQqVQssSNZFa1xugeiUqkgFovxIWUwGNBoNLj9emVlhQ+1SqXCIW21WoVWq8XAwADXQ2jdra6uYnp6mhsR+vr68KEPfQgPPPAAFyGB216/2+2+qwJAr9fDYrEgGo3yeqD3QIczHUbb29t44IEHcPjwYVSrVZRKJWSzWdy4cQOZTAYbGxssOSRlCElDW9cEFdlGRkYwMjLCaYCdTR70nMfGxnD06FG89NJLbOhWV1d5j5Du2e/384Gey+WQTqexubnJDQ3RaBTHjx/nFFG5XEZPTw/8fj8ymQzm5uawsbGB5eVlbG5ucsPG2NgYd+KS1wuA1Thra2tQKBQ4fvz4Pe3qu6YXyJuhhDoVRDo7OzE2Noa+vj5otVqUy2UWDcdiMXR2dsJqtaLRaGBkZASnTp3iSvxbb72Fy5cvt1WPlUolent70d/fj0qlArfbjY6ODsRiMczMzODcuXPcy01Gi1IVQHvKg5DJZCzLisViSCaT0Gg0+OAHP4iDBw8iGAzi5z//OW7duv3R2263Gzqdjru5otEoNBoNa3uHh4d5029tbcFgMHD7IzUWEF6vF5/61KcwPDyM5557Dr/85S/bxtaqM26VhdntdjzxxBOo1+v4p3/6JywsLPDmaxXdq9VqeL1e6PV6zM/PI5PJcAjv9XqRz+e5YJVOp1k4nkqlEA6HOfylvG6hUGBZjEajgVqtZm0ttWgnEgnIZDKW9/X19bG0p1qtsk6YCpFdXV1cBKIUFelYDQYDTCYTK0daQ1vSflosFu5ook40vV4Pv9/PKZO1tTU+bKj5pauri6VRra+rVCphMpmg1+u5+UEul3OYS2kvkhoBYK/J5XLB7/cjEAiwoSZVCOU0jUYj55UTiQRHilQ4Im8zm81ic3OTdaAdHR1QKpXsPWu1Wj6QVSoVC/FNJhPGxsbaujsBcJGHWrcHBgbw1FNP4fHHH7/jQqpWdcVODh06hM997nOYnJzEd7/73bYcJ8m1yIvu6Ojgqn61WsXU1BQmJiawtLSEYrHIToXL5UI+n+fX2rt3L5588kl4vV5cv34dL730Eutph4eHWc63c8zAbePrdDqxZ88evPzyy5zHPnfuHAqFAh577DFuqBkeHuZO1fn5eVy9ehWlUomdCqlUiqGhIZw4cQIA+BAEbrc6t8olh4eH4XQ62TkcGxvDW2+9xbp0WlskR3y3S8Dua3SpQ6ZUKrFulMKIwcFBdHZ2QqVSsZB+eHgYarWac7Pr6+vY3NzEyMgIVxbj8ThmZmbu6KlWKpUYGhrC0aNHuTfeYrFgZmYGL7zwAvdrExQykGD8XlBVfGBgAIODg9BoNPjkJz8Jr9eL7e1tLmpIJBLs3bsXMpkMFy5c4OoteUmxWIxbBH0+H+fxKpUKfvazn+HHP/4xf29XVxe+/OUv45Of/CQkEgl+/vOf33Vs1NTRCnk+x48fx/nz53Hp0qU2ATw/uH9f1A6Hg9Mb1DlDOulyuQyNRoNGo8EqEroIJJPJ8GUg9P2ZTIZTQOSVyOVyzr1Tiy9pVru6ujgv63Q6kc1msbKygkgkwl1x1C7ZeiMVFZ9IWkZVfzKOOp0Og4ODGBkZwerqKm7cuIFsNgudToeDBw/i6aefht/vx+rqKn70ox9hYmIC+Xye24f9fj9u3rzJOT16XTogWn8/bUJKDZBwvlQqwWAwwOl0IhAIcIdia76WWnapq4k882AwiFwux7d5dXR0sESO8pqkoKBwlebGarXiyJEj3AFYrVa5GNxoNOB0OlkRQ1CzRyqVQrFYhNvtxrFjx6DX69siQ+BXjTZ3w+/344Mf/CBOnz4Nj8eDr33tawgGgyzxO3XqFJ566ikoFAqk02lui45Go4jH4+zVU97d4/Hg1KlTqNVqmJmZAQA8/PDDePzxx+FwOLBnzx5OOw0ODt7XWJFzUi6XEYvF2lKemUwGb7zxBjKZDIxGI4aGhtDX1weXy8Xa5ps3b/KzpnmwWCx8SVM6ncYbb7yB6elpeL1eHDhwAIcPH4bT6WTHkvLyPp8Pjz76KNxuN2ZmZhCLxSCXyznl4XK57vk+gHcxuj/60Y9w48YNbG5uAgB8Ph/OnDmD/fv3I5VKIRqNIpVKweFwtC3aRqOB9fV1XLt2DaFQiL2pRqOBWCyG2dlZ7n6icJL0f5VKhS8RyeVyWFlZ4XBrJ6lUivNJO9l5T0OxWOQLdorFIneOqFQq2Gw2xONxLmpUq1WYTCY2HJVKBePj41hfX8fY2Bi3P9vtdjYwdPA4nU584QtfwG/91m9Bq9Xixo0buHnz5h3jGxsbwxNPPHGHd07/73A4YLPZkM/nUSwW79rl0mg0EIlE2to5TSYTtzcmEglWLdCCpPbIeDyOeDwOg8HA+k/KR1NFmToKqahGmxsAX2JDURDl3ymP26pKyWQyXNAkI0ChOUU5Wq2WZW+U23v66adRr9dx9uxZXL58GRqNBqdPn8apU6c4t005u1KphBMnTuB973sfpFIph7qtF9GQl00SOFobmUwGwWCQPXC5XA6r1cqyMfLA6PAirTJBWuTW6x4LhQKndajxhpQA1AiiVquRzWa5U3BjY4MjPpLlbW9vs0dHh+LdaiyxWAzxeBzNZpM9tNb11Lq+nnzySYyNjbUVpQHg5s2bmJ+fx/79+/Gxj30MmUwG3/zmN5FMJvkQ7u/v5wh0aWkJk5OTGB8fZy01pbwKhQLfaUDjpXRWOBzm4qXH4+FiXGuqCLj7tZYUee2E0mmrq6vw+XxtBX6tVstSMnKkstksZmdn+ZKeer2OjY0NXLt2Ddvb29ykotFo2tKHZPe6u7sxOjqKGzdu4OWXX8bW1hY2Nzfx2muvIR6P48knn7xjjMR9je6//uu/cjcRFc72798Pu92Ora0t9opoUnO5HFZXVzExMYHFxUXOM964cYPzLMlkEnq9nhPudL9oqVTCO++8g9nZWaRSKZbe3Lx5866TTIL11m4zgjYBPbitrS386Ec/wtTUFOr1Ol9pSDIXqVTKKQJK8u/Zs4cNNOW2qfONVASlUglXr17F1NQUVCoVhoaG8Nhjj+Hxxx9nmdFzzz3HF3S08uijj8Ln891z7slwke732rVrKBQKXMiRSCQIh8MYHx/H2tpaW86TKshUzaVnQTImeo90XSMVz6hK35ovpU4yKopIpVLkcjnu9LNYLOwFbGxsIBwOc6tvsVjkMD6fz7Puk54VeaGkmaWcKhliSm319fUhGAxCoVCwfprWHBW4SPNM909Qq7DJZOL8IfCrFlJqvyWtL3WRUdqDrlcMhUJwu90wm81oNpt87wRpVvV6PTdXtF5bSYVEch4o70mdbDTXtE7pMKCUTaVSwebmJm7duoWZmRlOeVy/fh3vf//7YbVa2/S/165d46Ic1WDuBWlQdxpd0vB++ctfhtVqxRNPPIF0Oo3XXnsNiUQCk5OTuHjxIg4dOsSa8OvXr/OlOF1dXRgbG4PP58P29jby+TxmZ2dZBUPSxldeeYW7P2OxGG7dusWpH6fTyc92ZyRIjUsmkwlqtfoORyyZTOL1119HIpHA1tYWcrkcTCYTUqkUSqUSzw1dKKTT6bg4SRHV9vY2F8LS6TQfsKSmyOfzrFZyOBw4cOAAbty4gWAwiFKphJs3b2Jubg7f+MY37jn/9zW6sViMhcV02bbT6eQ2TyqU0AlPPcy0QSn5vrS0hO9///vYt28fjh8/jve///2QyWR8VwN1FWUyGS420OKlfF/boOVyrnhSeEIhU2tBhR7U5OQkzp49i2KxCJ/Px9Veyjm63W6uvlMKxel0ol6vY2Jigief7ouYmprC2toaEokEpqamEA6HcfjwYfz2b/82BgcHuQr98ssv42c/+9kd86pSqeD3+3m8O70RAFzUo/dBD3bPnj38HvP5PHtRzWYTkUgE8/PzLKSnUDaVSrXljsmrpAVNl3RUq1W+aaxYLLKUi7Sw9Xod6XSaK/oej4erwKSyWFpaarvxigw9GXIyppQzpgVOkVJXVxecTic6OjoQj8fZMFJrM6lNSHvbaDTg9/t5fCT7czgcOH78OCKRCOLxOBt3+kNGla7oo+IdzQXdCEbKBsp1x2IxPlyA2wewyWSCTCZj5QVdcq3RaNDR0cFeMhWbKBXRemMZPdNYLIZIJAK5XI75+XnMz8+zJ0iqi9a2cjrsJiYmAKDtruC7Qeutq6uLC4qtX/vpT3+KgYEBnD59GkajEZ/97Gdx9OhRPP/887h58ya+853v4MaNG7BYLKx7Js1vJpNBKpXCvn374HQ6EYlEuNWYLpjRarWYn5/HxsYG3y4WDAaRTCZx6NAhdHR03FGYpvdCsj6/34/u7m4sLCy05abL5TImJyexubnJRT9aY2RD6M7jp59+Gk888QRyuRx++tOfcqGdlDGkRCB7RnNrsVjg9/uRTqdZw04HMimxdhbNd/KunxzR+sY7Ojo4rKKTnCaECkMUulFfO/03l8tBpVJhdHQUXV1dfHUiXZ1HKQAy1vSm75ZWoBu+SIyfTqe5j5oq2/QapC8kyUosFoNGo+GvU5GIDhU6WNRqNYLBIIflXq8XdrsdMpkMc3NziEajXOHW6XTYt28fJ+VnZ2dx7do1PP/883fcAwwA3d3d6OrquqfBBW6nODweD1wuF9bX17G2tobLly9jz549AMC5T6PRyBuYWkkpR0vXGtLcU/6U7jcul8t8dyt1BdGtaWR0KSSkdAB5DdQZl06nWQMbDofRbDZ5Hqm4RPczUPhLxRA6kKkY1mw2ueiqVqu5gESHnkqlQjKZxNWrV9nrppuuyuUywuEwCoUCFAoFy+QuXLiA1dVV7nzy+/3o7+9HrVbDwsICh5JWq5U9ZhLgU5V7dXW17SY8urCmXC4jHo/DYrG0NRyQ4aeCmF6vZ4NLvf1UC6HGDsoHkzrEYDBgY2OD0zN0wT81trSunUuXLnFjQauMc6fWFfhVui0QCCAQCGB+fr7t69FoFN///vfRbDYxNjbGxaapqSlcu3YNc3NzCAaDsFgsfOAcPHiQlUG0n8iZkUqlSCaTfBMhyTRlMhlyuRx36dE+rdVqHDm1RlqUQqrVaggEAhgZGWF1Tyt0IFETDc0rqYykUikcDgf6+/ths9kQjUaxsLCA1dVVjrxo/5AR3RmlkcOiVCphtVphs9naFDLvxnv6uB4aCMlsotEorl+/DoPBwFc3SqVSFuBTfiOVSvHdCw6HAz09PdBqtcjn8yiVSnwzz85JIUnR3XJXdKfn4cOHOUURj8dhtVq524ceWC6Xw8TEBN+nSpdbpFIpvqt3dXWVvRmqYOv1es5hulwu9rwUCgUbcNpY5P298soryGazfD8t3Wy1k+7ubnzqU5/iu1x3hoG00DKZDAYHB/HMM8/ge9/7HiKRCN544w2cPn2aL+zo6OjAgQMH8MYbb7AgPpVKsWSJJDl0kYpKpeJbq+h7KVSm+wqomYFuzKJWUwqNqThHnWuZTAbJZJJzq16vF4FAgD1aj8fDfyf5VyAQwOHDh1mPLZFIEAqFoFQq4XQ6+W7jhYUF7vSjXCUpUVKpFMxmM+x2O+uEJRIJF79GRkZgs9n4Gr9a7fanjYyOjmLfvn3s4VKBsKurC729vW3XX1LTzNbWFsLhMB9crZeY06U7rSEvHUx0fwQ5FCS5pNw4FaToljdycGhtxeNxpFIpdl5cLhcOHDgAu93OMi5aFxTFPfPMMxgYGOC1uPOKROC2g+R0OvGpT30K3/72t7G6utr29cXFRfzsZz/D0tISvF4vMpkM3nzzTdbHU12AQm+68yAajXKumpQmFNWEw2GsrKzAbDbzoR8Oh7kIW6/XMTs7i5s3b2L//v182RN5nTTXpEM+fPgwlpeXcePGjTuUGGQ3KIVDhzNpqMnmkMMUCASQy+U42iZ5GR2asVgMCoUCjUYDMzMzOHv2LEdBdrudNditjSX34z0Z3Ubj9seXVKtVvPPOO3zTvVqtRjqdxsGDB3HkyBHY7XYcOHAAzWaTF6BWq0VHRwf27NmDvXv3oqOjg70XurNhZmYG29vb7HWRwVhcXLwjtWA0GvHRj34Up06dYuNNCoTWux2ou+vcuXMIBAL4wAc+AK1Wi+3tbdy8eRPZbBYej4erjna7HV1dXdxs0Ww2MTAw0Oa5k34xkUhwIYYKHJcvX8bVq1f5chAqTrWyf/9+fPWrX8X+/fu58ns3o0sHUH9/P/7wD/8Qfr8ff/u3f4vNzU3Mzc3h8OHDrBv97Gc/C6vViu9+97tYW1uD0WhER0cHBgYG4Pf72XhNTk7yR/YMDAxwByGJ7inNQxrXVu00daiR9+rz+ThnTAUTCn+7u7v5esZms8kFHWo80ev1GB4ehs/n44uxSVVBhU6VSsUFI5KjUZ6WGltIzUGNOalUij9FgXJ/NpuNLyuiPLPD4WBp2OjoKBQKBfL5PLxeL1wuF5rNJntaWq0W/f393AJP9wmThnhzcxPBYJC7nJRKJd/nQdEWieWpqk3tvHQ/AUWBXV1d2LdvH/r6+mAwGLC2tsZ5YGr0+fSnP40zZ87wLVaVSgVzc3MIh8MYHh7GF7/4RTz99NN8cXyrvrYV+pSRT3/609i3bx++8pWvtNUdqC07Fovh5z//Obe90qFGERal4ej2NZqf1vtl6RCnwjXpduniodHRUTgcDu5opE+bOHnyJL+OVqsFAFZnGI1GPPTQQyiXy1hcXGyr+VAE2NfXx58BR9GFy+XC3r170dXVhUAgAJ/Px3cw37p1iy+Hogv8h4aGcODAAdhsNoTDYVy5coUL6qVSCclkkqNtuiL1vXBfo0sbRqPRYN++fdyZJZVKsWfPHigUCi4M2Gw29Pb2oq+vDwMDA4hGo5zbo9Bdr9dz7lAikcBms6FeryMajSIYDPJDpSLMhQsXcP78ef7kiEqlglOnTuHjH/84HA4Hd4W43W72mFoJh8OwWq34+Mc/zv3nzWYTx44dw8rKCt/7KpFIuBJP7bzkzdBtVNQCS5eSUIfd4uJiW/vy8ePH8clPfpJDkomJCTQaDVgsFnz1q1/FRz7yET7pKcXROm66RapVRvX5z38eNpsNb7/9NqdgSDLkcDjw+c9/Ho8++iheffVVbGxsALitjjh16hQXG69cuYIXXngB9Xodo6Oj8Pl83BgxPT2NN954A9vb27BYLLDb7Szypw1FxoYq42q1mott9EypBZJCSRL4A+AD2Wg0wmaz8bxbrVYMDg5yYwGJ70k+RV7w9PR0mzabcqjb29uc0hgeHuab60hXShept6aqaN7pDt9MJsMX1wO3OwWp4k3ieupyo7QGNaBEo9G2an0kEkEoFOJUGyl8nE4nHn30UQwNDfF4gsEgKpUKRkdH8dGPfhSHDx+GRqNBOp1mXffIyAi6urpw+vRpdHd3t61vikYGBwfxhS98AR/+8IfZu2u9uLwVKpTSM+3p6UGz2cSf/MmfIJVKQSaTYf/+/fjMZz7DRrTRaPD6psu9qcOxu7u7rRWanAkqHlIxbHh4mJtNqOGmp6cHnZ2dvP6Hh4fx/e9/n59pq36dPg6KHAO32w2r1YpLly7hzTffhFKp5EP9fe97HytcWu9n8fl8nCL0er3sdLlcLnR3d+PkyZO8/xuNBux2e9vFOyRLfOCBB7huRQcP3TbX2qV2L+77EezJZLIJ/OqTGFpdaDrFKA9COsT3ys4k+d3GQXnH1jQDyYskkl992sK9LgonYXxrka21i6f1fbT+HP373bpiWts4aTG2FjVUKhVfOE55IVropAf+z0APlPKyd3sdqoaTh0MqBYKKTVSoJKNOea/WjUrzQimf1r+/l7G2dhERd2tgaf1a68/TWGh8JGfbuQ5pk7Tm2lqLqTtf937jvdtY38vzorXQuj5a1wuNhdIT9O9U6CGpZet47vccd34f5bX/K2uLGiYolUgFRSpetcq46Na81j875+o/sr92Fsvo0LwblNagtAPdW0zQPN9NvdFqa+52IN0PKoQCv0pb0OuQzLI1p2uxWO75MO5rdAG8e4JCIBAIBDu5p9G9b3qh1SD/Z0/R/yp380D+O/Fu4/vvMIfvFRrrf/dx/k/if8qc3m+d/k/fg7+JcdxvDMLTFQgEgl8/97S67z2pIRAIBIL/MsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIvJ3+bpkV0YhEAgE/0sQnq5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS4ijK5AIBDsIsLoCgQCwS7yfwHGLb3ZIv6nXQAAAABJRU5ErkJggg==\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: 512\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,0,0) # 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 = 64\n", "beta_scale = 2\n", "num_betas = 4\n", "update_factor = 15\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(lambda r,x,g: c(r,x,g,eta_i,cur_beta), np.array([1e-3]*nf))\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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99+H1eqHVaqHVasHj8ZCTk4P8/Hy0tLTQOeHz+cjIyMDGjRths9nw0Ucf0TH5/X4YDAYAmNXHRcbt9XohkUg+lf+THGzEn+33+5Gamor09HTExsaioKAABoMBWq2W+hA1Gg1WrFiB5cuXw+Fw4OLFi7DZbEhNTUVqaiqio6Ph8XjQ3t6OyclJBINBSCQS6rsUCARUoEilUojFYrhcLjgcDgSDQQgEAro2iEXj8/lgNpuh0+kgEAhgMpnQ1dUFh8OBhoYGREVFYXx8HF6vF93d3airq0N0dDRsNhsqKirgcrmwbt06rFy5EkKhEJWVlSgoKEBDQwMVcGTDkYOgqKgIS5cuRUxMDFatWoXBwUF4vV7I5XIMDw/jlVdegclkwuXLlzE4OAiJRILm5mbYbDaq+ebn5yM6OpqO3+/3QygU0nkQCAQIBALg8XgQCARQKpWQy+Xw+XzweDwRz4fH44HP58NiscButyM2NhaFhYVITEzE1NQUgOsxgaioKCxduhSrV69GcXExzp8/D6vVCpFIBK1Wi7i4OOh0OohEIphMJqSkpCAtLQ1arZZueuCT+3rJenO73RgbG4tYlwSybo1GI/Xnk9esWLECDz30EA4cOACBQIBgMEivFRQUIDs7GzweD1qtFmKxGDabDSKRCOvXr0dqaioMBgP27NmD8+fPg8fjobu7mypEaWlpiI2NnXNP9Pb2Uuty+riJ9u/1euH1eunfkpOTkZ+fTy2twsJCJCQkIDk5GTwej66BM2fO4NixY5BIJCgqKsKtt96KwsJCZGRkICkpCcB1S/fWW2+l8oQoJ0QzFovFs8YdwplT6IZCIcjlcuTn52NsbAwjIyP0ZrVaLbZs2UJNNL1ej1/84he4evUqbDYbFagymQwjIyMYGxtDQkICBAIB+Hw+xGIxzGYzpqamIJVKER8fj8rKSoyPj2NgYADp6elYtGgRAGDv3r3o6emZMT6v10sXxWyQjWk2m+F2uyGRSJCbm4uqqiosWLAAq1atQnJyMoLBIK5du4ba2lpERUWhuLgYGRkZCAaDSE1NxWOPPYbXX38d7e3t8Hg88Pl8CAaDiI2NxeLFi3H+/HnYbDbweDx4PB4cOHAAsbGxOHPmzKzjCl+on4ZwQePz+SAUClFVVYWcnByoVCpoNBqMj4+jvLycLlqpVIqcnBxotVo0NjbCaDTCZDJBq9UiPT0dycnJ6OvrQ1NTE/x+Pz1oibCRy+WQy+U0WKBUKmGz2TAxMYFQKAShUEitG+I+EovFUCqVNOBBBJLH48HIyAiMRiPVTo1GIy5cuACFQoGcnBzk5ubCYrHg/fffx+TkJHJzc2EwGLBkyRLodDqMj49DqVQiNjYWk5OTcDgc0Ol0SE1NRW1tLbq6utDV1YUTJ07A6/VCIBDg5MmT6O7uhsvlAo/Hg1gshkQigdVqpUqEUqmkQZxgMAi5XA6n00kDRDKZDAqFAhKJBIFAAHw+H/Hx8VCpVHA4HDTI7HK54HK5EAqFEAgEEAgE4Pf7EQgEkJCQgKysLAwPD2NoaAgmkwkymQwajQaLFi1CTk4OdZGQfZaSkoK4uDhUVVXBbrfTg4wE5P6WgBERDtPX4unTp5GcnIz9+/dHBIrVajUWLVqE2NhYBINBeL1eGkgqLi7Gl7/8ZaSkpCAYDCIjIwPFxcVoa2tDUlISli1bhoKCAggEAqxduxZnzpxBR0cHzp07h8bGRqpt3kwJCQaDEQpYOOnp6bj33nvBcRwaGhowODiIrKwsLF26FPHx8bBardDr9YiJiUF6ejrEYjFVEsbGxjA6OgqbzUZddu3t7VQePP3000hPT4dGo8HWrVtRU1NDrR0AiI+Ph06ng9FohNVqnXPe5xS6RUVFWLRoEYqLi3HkyJEILZdIeILZbEZjYyM6OzshFovh8/ng8/moORoMBqFUKql25/P5MDg4iK6uLggEAmRlZWHBggX46le/CgDIz89HWloaTCYT2traZhW6UqkUiYmJNxw/x3FwuVyw2WzULC8oKMAjjzyCxMREelIHAgGYTCY4HA4kJSUhOzsb7e3taGlpgVAoxOLFi5GRkYE//vGPqK+vR2pqKlasWAG5XI6VK1fCYrHgyJEjGB4eRjAYxN69e9HS0gKXy0XngowHAPr6+nDlyhUsX7581gU218JzOBw4deoUOI7D8uXLUVRURM1koiHl5uZCLpfDZDKhoaEBzc3NSE1NpT5Yk8kEs9kMk8mEqakpBAIB6kIQCATUZyiXy5GRkYH8/HzIZDLY7XaEQiF6SKakpEAoFKKrqwtXrlyh5rhGo6Hmr8FggN1uh8/nQyAQiIjyh2ejEHeJ1WqF0+mE1WrFqVOnIJPJkJiYiO3bt+POO++E0WhETEwM0tLSMDg4iKmpKeh0Oly+fBnPP/889buGQiFoNBrI5XJMTExQNwERUjweD36/n5rHfr8fNpsNEokEGRkZSE5ORk9PD6xWKxQKBdLT01FeXo68vDz4fD7o9XpMTk7C4/GAz+dDpVLB7Xajs7MTAwMDcLlc8Hq91C8uEolgt9vR0tKCwcFB6guOiYnB1NQUenp6oNfrIZFIUFlZiejoaCrAZTIZUlNTqZC1WCw4evQoBAIBVq9eDZVKdcP1P30dkf9vaGhAf3//jPdIJBKcPn0a9fX16O7uppZPamoq7rjjDlRVVUEul6Oqqgo9PT0YHh5GZWUlPv/5zyM6OhqHDh2i2n5OTg4mJydht9vpOgOAxMREbNmyBaOjo5iYmEB9fT1CoRCsVitcLheioqJuuP6TkpIglUpndUEWFBTgscceQ3R0NIaGhtDR0UGtkmvXrqG/vx/BYBD5+fkoKiqCUCgEj8eDSqWC3+/H5OQkPWg5jqOWO8nwSE9PBwCaIUEIBAKIiorCypUrqbtuLuYUun/605+gUCgwMDCAQ4cORVyzWCw4efIk1qxZA4FAgIKCAvzqV7+i/sSPP/4YnZ2dCAaDSE5ORnl5OeLi4qjrICEhASUlJQgGg+jp6cHQ0BBSUlKQnZ1NVX+SfrN48eIZ3w9cX0Dh6WDTIVpwYWEhkpOTIRaLUV1djczMTPqaUChEfWoGgwHBYBAmkwl79uxBc3Mz5HI5Hn74YaxevRrbtm3DHXfcgaKiInqiy2QyxMTEgM/n45133oHVaoXZbMaVK1eQnJyMrKwsDAwMRAQC9Xo9Hn74Yfzrv/4r7r333hkLzGq1wmAwIC8vj84X2UBmsxn/+Z//iaVLl2LTpk30ukQiQTAYhEgkgkajoQvD6XSivb0dYrEY2dnZ2L59Oy5evIhz585haGgIdrudalMkBYcE9qKiolBYWIjKykqabiQQCJCZmYmcnBzExcUhEAggKysLaWlpGBkZgdlsRiAQgEgkwtTUFDW9w7V7Ho9HD+xwzcXv98Nut8Pj8VANxO12w2634/jx49R8lEgk9JAk8YBjx46hu7ubmv/E10wOVYJQKIREIoFIJEIoFKLz6vf74fF44PV6IRQKERcXh7i4OOoDTU5OpqamUCjExMQEenp66EZOSEig6VGTk5Pw+XwQiUSQSqXUzUU0LYvFgsTERFRVVWHp0qVITU3F6OgompubUVRUBK1Wi6ioKMjlchoQDBdEcXFxuHz5MpqamlBWVgaVShUhYIPBILq7u5GYmEgDl+Hrfc+ePfj+979PLVeCVCpFRkYG7HY7Ojo6qJKlUChw55134sEHH0RMTAykUik2bNiA4uJitLe3Q6vVQqfT4cSJE3jrrbfgdrtRVlZGx0KC5OXl5ZBIJODz+RCJRMjKysIdd9yB06dPIxgMUldlMBi8YXA5PNVuOkuWLEFqaioAIDc3FwqFAgaDgR5ogUAAubm5KCkpgU6no+mdcXFxWLx4MZKTk3H58mUAQGZmJqqrq5GRkYGSkhLk5+dTxe3UqVM0XkL2ZiAQQGVlJbZu3TojMDmdOYVuXl4ezGYzLl26RH2a4Rw8eBDbtm3DwoULIZfLsWrVKqxcuRL9/f2YmJhAf38/ZDIZysrKkJaWRieSmKVpaWkQCAQQiUTo6urC8ePHcfToUajVamzatAmrVq2CVCrF1q1b8e6776Kvry/i+0ke6WwQbdrv9yM5ORnp6ek0d9ZgMFC/HY/Hg8vlQnt7OwwGAzUNiG9peHgYb731Fk6dOkV9vJmZmfD5fHA6nRgdHUV/fz+Gh4cjNjfx7U5f9ITOzk7s2rULhYWFWLBgQYRAqqurw3PPPYevfe1r+NKXvhTxPqlUCr/fj56eHvj9/gi/sNPphF6vR0FBAaKjo6FWq7Fs2TKo1WrIZDLIZDKUl5cjPj4eU1NTVAslZpJcLo8ILgiFQuqXczgc4DgO6enpSElJgc/nQ21tLQ3AJSYmoqSkBA6HA6dPn8aZM2cwNTVFzXMiaIlpTzTBcGEhlUqhUChmCGm/34/Tp0+jpaUFUVFRkEqlkEgk8Hq98Hg8sNlsMJvNERk05ABRKBQIBAIRJjtxd5AoNdF2HQ4HzGYz+vr6EB0dTX2tMpkMfX192LNnD7RaLYqKipCZmUnnob+/H2NjY1AoFDTwCIDeK9GKzGYz1dCKioqwceNGGkhTqVTUcomKioJIJILNZsPAwADS0tJoHILH48Hn86G3txd+v39WpePtt9/Ga6+9hueeew7V1dURa6u9vR3f/va3MTQ0NON95FAPd7sA1zW5kZERtLa2IjMzE4mJiVAoFHC5XLhy5Qp6e3vBcRz6+/sxMjJC4zOTk5MYHR2FRqNBe3s7cnNzIZPJqHtSLBbTDB6VSoXk5GR6WIVbQuG43e5ZM5ny8vKwZcsWCAQCuN1unDlzBgcPHoTNZqNCvrCwEKWlpUhKSqKyiMRo0tLSUFpaipMnT8LtdqO8vBxf+9rXkJ6eHjGOtrY2HDx4cMb3NzU14fLly1iwYAGSk5NnXA9nTqFLVP933nknwn9B6O7uxrlz57Bw4cIIX+PAwACGhoboImlpacFHH32E0tJSxMfHU23S4/FALBYjGAyira0NXV1dNAH+3LlzeOGFF7By5UoUFxdj586d2Llz54wHQKK9000pUszR3NyMCxcuwGQyYXx8HL/85S/x2muvwWKxwGazQaPRICEhAQaDARMTE3C73eA4Djk5OcjJyUF9fT16enrQ2toK4LpgGBkZwSOPPAKHw4GDBw/i4sWLGB0dneFr8ng8sy4Qgkajidg0PB4PXq8X77zzDurr6zE2NoaYmBhs3LiRviYuLg5bt27FK6+8gpdeeglf/vKXERUVBb/fj/Pnz+PNN99Efn4+tm3bhgULFiAlJQUKhQINDQ04cOAANBoNkpKSoNPpEBcXRwU3KZIg6WAcx0Gn0yE5ORl8Ph8+n4/6x+12O9ra2nD06FH09fVBIBCgqKgIFRUV8Hg8qK2tRXd3N0KhEEQiEU3Xk8vlWLhwIaRSKc6cOUNNcyKQMzIyoFarYbFYIsw38nynpqZoEOpmhEIhqpWbzWaquREfK0knc7lcaGlpQSgUgt1up+YlCXYSIXrx4kW0t7cjGAwiKysL1dXVKCoqogUPxExNTk7GggULEBMTQ9cgKeyRSCRQKpUQiUSIi4vDxMQEDeaVl5djyZIl0Gq1cDqduHjxIj744AN0dXXh0Ucfxd133w2hUAir1YpXX30V165dwze+8Q3ExsZG3HdNTQ1++MMfYnh4GLt378bq1ashFoup4JVKpdBqtbMKXbfbHZESSvB6vThx4gQ6OjpQUVGBTZs2QS6X4/XXX0dNTQ090BQKBbKzs2lspqmpCTabDT6fD4cPH8aVK1dgMBhoAFGj0cBsNmNiYgI6nQ51dXUQi8VUiZv+/MmhMJuitXPnTqq8XLx4Ec888wza2tpoCl5+fj6ys7MhFovh8Xho9o1AIIDRaERLSwvd4xzHQa/XY3BwEImJiVRp4PF4OHv2LHp7e2d8v8Viwdtvv019yHMJ3jmFrlKphN1uh9FonPU6x3GYmJigizMUCqGxsRFvvPEGurq66GY9fvw4zp07h9zcXNxyyy3Iz8+Hy+WiOZMXLlxAa2srrfIAQNNVKioqIJVKcf/992P37t24fPkydez7/f45czeFQiEGBwdhMBiQmJhItRK73R7xOolEAqFQSH2BxAe8du1amnJCFqPH40FTUxMOHz6M7u5u1NbWRpgan4bly5cjLS0t4m/19fU4deoUAGB8fByvvfYadDodysvLaRDyoYcegkgkwu7du+Hz+fDFL34RSqUSZrMZV69exenTp3Hx4kV861vfwu23347Y2FjExsZibGwMBoMB6enpuO2225CdnQ3guvB3OBwIhULIzMxETEwMDRiSND+n04mRkRE0NjaipaUFAwMDmJycpMG3pqYmtLW1IRAI0EAScN1U9Hg8CAQCEAqFUCqV0Gg0Ef5c4iYivknyt88SbCSEvz8qKgoSiSRCewOuWzPEBUKCXsRaCYVC1GcpFArptVAohO7ublgsFmRkZKC0tBSLFi1CcnIy5HI5zaQQi8WQSqWYnJxEX18fvXeivGRkZMDhcNAUo+rqasTGxiIQCODo0aN4/vnn0dTUhLi4OExNTcHlcsFut+Ptt9/GiRMn8MQTT+CBBx6g9xkMBtHQ0IDXXnuNCpSTJ0/i4sWLWLlyJb3njIwMVFZWorm5+RPPJakInZqagl6vx8TEBLKzs9HU1EQFLnB9HVVXV2PRokX44x//CJvNRnPKu7u7ce3atYjXA9dTulJSUqjiMzQ0hMWLF99wLCQIG/6MKysrsWXLFgDXD4ijR4/i6tWrCAaDdP21trZCIpHAYrHQ3HCZTIbOzk6cPn0aPT09NBDM5/PR2dmJ119/HRKJBEuWLIFAIIDX66UB5BuNzel03rRKd06ha7VaafBkNpKTk1FcXIxQKIRgMIiOjg689NJLOHXqFIRCIbKysqBQKNDf34/BwUEMDw9Dr9cjMzOTZkOQUtTwhxGeoEzMXI1Gg8rKSly+fJluJrFYDK1WSx/AdGJiYlBVVQWtVguLxYLa2lpYLBZaMACAlhkT5zlwfcPp9XqYTCbk5eVh2bJluHDhAiwWC01jq6mpwdDQ0E3TQ+YiLy8PAoEgQrhIpVKkp6fDYrFAo9FgYmIChw4dQkJCAlJTU8FxHMRiMXbs2AGRSERzbPPy8qBWq5GQkACz2YzW1lZ88MEHNI0nIyMDy5Ytg8vlQn5+PlJSUrB8+XJqXhGhSOY9EAjQnNJQKISYmBiqMTY3NyMYDFLz2efzRQja2SAa5qVLlyCTyagFQO7d6/Wis7OTugJuJnRvdl0gEMDj8dBgKNHUyXs8Hg/Onj0Lp9MJt9sdkQBPXkPyoQHQTA6iNZpMJlgsFojFYqxcuRKpqal0LjUaDS16IYcQmd9QKER9yXq9HqOjo1AqlUhPT4dQKMTAwADef/99tLa2QiAQ0BzfqakpdHZ2wmQy4Stf+Qq2bdtGXUEkf/TQoUOYnJyERqOBxWJBamrqjBJ4oVCIvLy8OdflXFitVhw5cgSpqam0SMTtdiM6OhqVlZXIycmByWTC8PAwXQ8cx1GlJTwnmFhBFRUVqKqqgkajQXFx8az56+T5aLVaOq/kOVVWVkKtViMQCMDj8VD5QdIagevFUiSPWCwWIzk5GYmJiejv70dPTw9CoRCSkpKQm5sLu90Ok8mEY8eOIRQK4Xvf+x5yc3MRCoVQXFyMpKQkDAwMzBgjUdisVusN3YrATYQuMQlutJnWrl2LNWvW0KBIV1cX6urqYLPZkJubizVr1iApKQnnzp1Dc3Mz1Go1srOzMTAwgKamphmTSmrSeTwe8vPzsXDhQnpSNjY20ioQsjFWrlyJFStWRDyUcPh8PgoLC5GUlISzZ89ieHgYVqsVEokECQkJcDgcs7pN+Hw++vr68PrrryM2NhZarRb33nsvoqOjIZfL0djYiA8//PATCdzw7IVwhEIhjYaGj3/p0qX41a9+hX/7t3/DtWvXYDQa8eGHH9KAC7l3Uk3X1dWFmpoaGjQg/R4CgQAuXbqEY8eO0ZM3MTGRam8xMTHQarU0v5AIJBKI4vP5kEqlcDqdsNlscLlcGB4epie9VCpFamoqlEol+vv7Z5h85HmqVCpIJBLao8BoNNJ7EIlE1HdLtAgSjBKJRPD7/Tdce3MJXJKFMb1nR/i1YDBIo/d8Pp+mhHm9XtjtdupvDker1SIrKws2mw16vR4+nw8TExMYGRlBWloaFAoFvV8iXIhwILELHo9HU+lIvmliYiINVH788cdoaGigwSS73Y5Dhw7h8uXLcDgcNLUyXOACQEtLCw4fPkxTMG+77TZ897vfxZIlS+jzIPdD/JSzzeGN1ms4xMK866678OCDD8LlcmFqagrj4+PYs2cPJiYmMDg4SOcg/LADrmvESqUSJpMJdrsder0eSUlJWLFiBTQazaxVduQ+SdyIxFg4jqMFTGVlZeA4DmVlZcjLy0NHRwd1eZKALjnsJycnIRKJUFxcTLMhysrKsGzZMoyMjNA0w3PnzqGzsxO5ubkQiURU5r355pszxhgMBnHlyhUIhUKahTUbcwrduLg4REdHz+qsj42NxcaNGyMc/BUVFXjwwQfR09OD8vJyZGZmIhgMYuvWrXjsscdoGd7u3bvR0tIyo+AhIyMDS5YsgcvlQllZGbKzs2EwGPDxxx/jzTffnGESLV68mPofb5RiQspWk5KSYDQaoVAosHPnTqxfvx4dHR14+eWX0dTUBB6Ph+TkZMhkMuj1ejgcDjQ3N0MoFCIjIwMPP/wwNm3aRIM9/f39MJlMCAaDGB8fn+G7lUql2LlzJyorK/GjH/1oRiCSaJKzsXLlSjz11FN44oknaMkieW34vep0OsTHx+PIkSOYmJiAVCqFUqlESkoKHA4HlEolxsbGYDKZkJiYiLS0NAwNDaG1tRVKpRJFRUVQKBQ0uDQ1NUULCoipbLFYYDAYaCEKj8eDWq1GWloaVq9eDZFIhHPnztG0GqKlisViJCQkID8/H2KxmFo7JLJLIvvEygnflHw+n45rejMWEvVOTU2FXq9Hb2/vjMOPNGMhB2p4IIlo5+GmpFgsRkpKCjIzM+HxeNDV1UXzzDnueoMXrVaLBQsWoKqqCh6PB6dOncLw8DB4PB76+voQFRWF5ORkWk1FXDIkP5w0Y+Hz+dTcbm1tRVRUFNLS0iAWizE6OgqDwUBznJVKJZRKJS5fvgyv14u4uDjs2LEDOp2O3g9ZDxaLBZ2dnfD5fCgsLMRTTz1FFZLpkHzY6ZSVleGHP/whzp07h5deemnWNa3T6cDn8xEbG4uVK1diw4YNcLvdqKmpwZEjRzAwMECLZsi9ORwOjI2NgeM4LF68GI8//jgKCgpw+PBhPP/885iYmEBSUhKVJTeC5AqXl5dTFxwAnD17Fv/v//0/PPLII1i3bh1yc3OxYcMG6vK5dOkSurq6Ij5LLBZj/fr1ePDBB+F2u2EwGOgBnZaWBp1Oh6amJuTl5WHJkiW0SIzIvf37989Ym8RfPt3PPp2bZi/U1dVFONelUikKCgpQVVWFoqIiAP91CqWmpmLXrl1UG7p48SIaGxtx9913Y/Xq1fQzUlJSZhWSq1evxkMPPYSxsTHExcUhISEBx44dw89+9jNa5UUmHwB9kHMlU5NrBQUFuPXWW6FWq/H0009DJBJhyZIlUCgUePHFFwEAGzduhEgkwmuvvYarV6/SHD+/34+uri50d3cjJycHixcvRn5+PjQaDbxeL375y1/ir3/9K90ECoUCv/nNb+hp98EHH6ClpWWGdkFSVmajqqoKpaWl9ECYrQ5dqVQiIyODalKlpaVYu3Yt5HI5pqam4PF4oFarabJ/RkYG3G43WltbMTY2BpVKhcTEROrPJpVjRqOR5uJKJBKYzWYYjUaIxWIUFBTA6/ViyZIlWLZsGZxOJ0QiEYqKimAwGNDU1ISxsTGaWxofH0/Lx8OfX7ggDDftgesCq7KyEps2bUJTUxOOHDkCs9kMmUyGDRs2YOfOncjMzERfXx9eeOEFfPTRR/B4PNBqtVi/fj1KS0vx17/+FSdOnIgoAAj/LjKGcP+gRCKBWq2Gy+WivS0SEhJQXl5ODzgSCFQqlWhoaKDxANKzgaS8kYq7+Ph45OXl0bJTktViMBgQGxuL0tJSavEEg0FkZ2djx44dkMlk0Gq1cLlcOHbsGK5cuQLgeipTeJc3AtHSfT4fysrKbihwZ1t3ZF0WFxfjc5/7HD73uc8hKysLTz75ZERXwTvuuAO7du2CWCyGxWKBSqWCy+VCd3c3dQ2F57CmpaXhK1/5CrxeLw4ePAgej4dvfvObuPvuuwEApaWlsNvtcDgcyM/Pj1gDs8HjXW8/QGRB+F5qamrCz3/+c+h0Oqxduxa33XYbFi5ciMTERLz++uszhC6Px0Nqaip1tSxcuBAnTpzAwYMHUVFRgc2bN+O+++5DXFwcdRWQsRUXF2P79u2oq6tDR0cHPZzcbjf4fP5N3TdzCt3f/e53OHr0KNWyFAoFHn74YXzuc5/D2NgYxsbGkJmZCYFAQN9D8h8bGhrwpz/9CW1tbUhLS8Ott94KHo+H8fFxnD59eoZDneQiOhwOWsKZkJCAixcvRgjccIxGI1wu16yLcDo+nw+xsbHIz8+nEWeSrpKRkUF9OwBoVkVUVBTi4+Opc769vR333nsvNm3ahPLycuqbJCcb2djf//73qcDt7OzEhQsX6HXCypUrcddddwGYvWG0SCSiOYekIVD4dxBIjjNw3adEFhKfz8fY2BjOnj2LgwcPYtGiRbRihlSCkVzOcMEbDAZpWh1pSGO1WuFwOGg+JsdxyM7OpvmkSqUSYrEYExMTEAgEuHz5Mi0Z7+jooEUY4c+cNEAifkZifpNMgBUrVuDxxx+H1+vF+++/jzfeeAPR0dHYuXMnzQEtLy/Hzp07YbVaYbFY8Oijj2Lr1q0QiUSYnJzEqVOnaE6u3++PCKyEuy28Xi+Ghobgcrmoy4UEtSoqKrBlyxbExsbC5/NBpVJBIBAgNzeXumFI/xCRSIRAIEB7U5DKOZPJBKfTiUAggNHRUYyNjYHP50Or1cJoNILjOBgMBjQ2NiIqKgqrVq1CQkICQqEQzXUnaXvTi4TIegjPniH+4dkyegBg06ZNNE4Rvi4vXLiA7u5u5Obm4vHHH4fJZMKzzz5Lr8fFxdEeHi6XC319fTh48CD27duH0dFRWlU4Pj4Om81Gy8vJd2RmZkKpVMJoNFKXV0lJCbq7u+Hz+T7RPna5XDeUByMjI6ivr8eiRYswPDwMo9EIlUpFXT7h68/j8eDkyZPYvHkzYmNjEQqFcOXKFezbtw89PT3g8XhYvHjxjFL+QCCAsbExrFixAvfddx/27t1Lc5MtFgs++OADmM1m/P73v7/hPcwpdN98880I0y05ORl33303cnJy0NnZif7+flRUVFChGwqFMDQ0hA8//BBHjx5FQ0MD7HY79u/fj4KCApSWlmJqaor2uA03XwKBAPbu3YszZ87AaDRCq9UiJyeHLozZUCqVn8iv6vV68fvf/x41NTWorq6mp7NKpUJmZiYkEgmGhobQ399PiwxKSkqQk5MDi8WCuro6WCwWjIyMIBQKIScnB7GxsXC73Th48CBtwBEfH48HH3wQjzzyCK2y+slPfjKr033Tpk2IioqatR8tITxB/OzZs3j88ccjfHmTk5M4fPgw1UJra2shk8mwadMmFBUVQSAQYGhoCKdPn8bJkydpTwaSR0oOoszMTGi1WppTSurXiT/d6XTSgCqfz8f4+DiGh4dpBJ/44Xp7e9HV1QWn0wmxWBzhDyaRf5IiRiLuxMeqUqkgl8vhdrvpBuS46yWmy5Ytw5UrVyCXyxETE0PXGp/PR0xMDAoLC+HxeFBZWUmfH+lpKxaLIZPJaI42EbxkfokfmzR0mpqaQlRUFM286ezsRF9fH5KTk2n/g4GBAbS0tMDpdCI+Pp4WoZAGNCRVTiaTIRgMwmg0wuPxwGKxoL+/H5OTkxHPgM/nY2pqClarFWvWrKGl1W1tbaipqcH58+dhsVho6tXnP/95xMTEUP83WR+EcCVoOqFQiObBX7hwIcL66unpwU9/+lO8/PLLUCgUePTRR2EymfDee+9hYmICx48fx5///GfceeedCAQCuHbtGj744AOqhWs0GixfvhzFxcXo6enB1NQUjh8/TpWYwsJCjIyMoLa2Fg6HA7m5uejs7MSxY8egUCjwxBNPzFn8AIB2gLsRe/bsgV6vpxkmpHR8ersAUtQ0Pj4On8+H5uZmHDhwAEajEfX19QgEAjAYDNiwYQNyc3PpPPv9fvT398PtdmPVqlW45557cOTIEVpD0N/fjzfeeOOzC93pAi0pKQnp6emQy+XIzc1FbGxsxCSRAAFp7k20l+bmZuzatQsbNmzAF7/4RezatQsCgQB/+MMfqOANBALo6+ujfsPBwUH6MGdDpVKhqKhozog5EU6tra149dVXYTabaT5uXV0dKioqsGTJEpSWlqKjowNjY2PQaDTIyclBUVERvF4vPvzwwwg/5NTUFP7yl7/g4sWL0Ov1qK2txfDwMG655RZ8//vfR2VlJUQiEdxuN1599VX88Y9/nHVsWVlZc009AES4FOrr62E0GqmmSYo6iBUSCARgsVhw5swZ6jt0uVzo6enB5OQkzGYzFf6khwAJohEhIxKJMD4+ju7ubthsNmi1WqpxWa1WDA8P085yPB4PV69eRXl5OfLz82GxWLB//350dHRAIBDQtDBiVodrtSSdKrzpONEaSYlmfn4+Fd7A9WojtVpNsz3I4SMUCrF8+XLqpyQBk4KCAmzfvh1Xr17F8PAw+Hw+NatJU3SSFkd6KUgkElpqSzT+a9eu4f3334fP54NarUZnZycaGxvpJiM5z+R+JiYmInJRc3NzER8fD5/PR3PFx8bGaO8JsrbIIdTT04Oenh6IxWIcPnwYZ8+ehcVioXuRZN+Er+/R0VHU19fTtUI0xrlcb2T9TfehvvvuuygvL8djjz0GtVqNH/3oR9iwYQN+/OMf49y5c/jud7+Ljz76CMnJybS6jlgSLpcLJpMJlZWVKCkpQXt7O7q7u2G1WpGUlITS0lJotVp0dnaioaEBK1asgN/vx8DAAH7/+9+juroa5eXlc46b4zgUFRXhxIkTs5YCDw0NYWhoiL5/NoVHKpXiq1/9KrWSfvWrX+Gjjz7C2NgY7RpHGreTnPHwys/S0lKYTCYoFApaMh5euPU3NbyZTlpaGg0UkHLKcC2NVGmRSjESrPD7/ejs7IREIsGmTZuQl5eHVatWYe/evdRsJszl0wmnvLwclZWVAEA1phu99+rVqxgbG6PCnORthkIh9PX1YXR0FEKhEDqdjpb9aTQa1NXVwWAwQCKRIDY2lv7Cw9mzZ2kZKuHWW2/FunXrAFwvGjlw4AB+/etfRyxqolUkJCTQkse57jc/P5+aRX19fTh79izuu+8+el2tVlPXBkn7mpycpJqRyWRCc3MzPB4PjZyHp8gFg0GMjo6it7cXGo0GCoWCpvuQZkUxMTHUjWKz2WCz2eD3+2k6H2lY43A4oNfrAVzXeOLi4qBUKpGQkACxWIyenh6MjIxQM/O2226DWCzG8ePHaS9Zv9+PjRs34utf/zrkcjn0ej08Hg8MBgOEQiHt4UvKbEm/iKioKDidTvT29sLhcEAqlWLhwoXIycnByy+/jNbWVtq8aeHChVizZg28Xi+OHz+O/v5+8Pl8WoJOmp+QZzs1NYWOjg68++67NBeaVJYFg0FqAalUKkilUuobd7lckEgk0Ov1iI6OhtPphMVioY1xSNUVsShI3jmJoURHR9POb+RQCIVCiI+Pp02mCGfPnsXg4CCA6wIlNzf3hmuL/K2wsJAWaIRru6FQCD//+c8RCoWoVVtdXY1Tp07h3Llz0Ov1eO+996BSqRAdHU0rH41GI+x2Ow26Ll26lAqwwcFBCIVCmmIZCoUgkUgwMTEBq9UKr9eLsbExeojPBvG/c9z1niO1tbUR2v2NmC1LIzY2FqtWrUJiYiIGBwdppgKxLMMbFzkcDtpciuwzsVhM5V9CQgJSUlJuOo5wPpHQJQO32Wxobm5Gd3c39uzZg/j4eHz9619HSUkJeDwenfTW1lZ0dnbS6LFMJkNmZiZWrVqF6OhoasppNJoZQveT5GYmJibigQceQFZWFjweD9VQpptVRMiePn0a0dHRkMlkMJvNGBkZgUAggM1mw9mzZzE0NASpVIrFixejqKgIcXFx1Febn59PAxwkL5YEqciBEwqFsHv3btjtdtrN6/z58xELmvxbo9Hg29/+NtU0brQxOI5DVVUVnnzySTz//PPweDyoqanBvffeS7U8tVqN6upqHDp0iJ6uJIgjFotht9upBujxeCAUCmmeManAslqtGB8fj2jATRoVkVQbkUhEtTJy6kdHR0MsFsNkMsFgMNA859TUVOrvVqvVqKiogFwup5pJKBRCVVUVtm/fDrlcTrtm9fb20m5V8fHxMJvNOHfuHFpbW2EwGMBxHK306uzshF6vR3p6OnJzc2EymXDt2jXw+Xza0+O2226DTqdDcXExUlJS4PV6kZubi23btuG2226jyoHJZKJNjdauXQuHw4HLly/DarXSVMXh4WH09/dH9BeWyWR0HbjdbpqK6Pf7aZENadhPSrbJHJH+GCKRiHZnI8+PNIIiWnH4NR6Ph+rqapqxQwRxTU0NdcXs2rULy5cvv6G2SP6WnZ2Np556Cj/96U9htVoj1qnBYMDPf/5znD17FuXl5TCZTNi/fz+A/+pn7Ha7abOhxYsX03slbUdJPESr1eLq1atoamrCqVOnaDaDx+PBtWvXIJfLkZycDK/XizNnzuCWW26ZUTBE9hgp+87OzsYDDzyAnp4eGAyGWQXrXHJErVbD7XbTHs+rVq2Cw+HAyMgILTPu7OyERqNBeXk57HY73XPNzc34j//4D0xMTOD+++9HVlYWPaA/aUHPJxK65AFbrVa8+eabuHjxIgYHB2nbxi984QvYsGEDVCoVVq5cCZ/Ph/j4eNpxiiTmL1q0CGq1GqFQCIsWLcKjjz6Ky5cvo76+HqOjoxCLxbRPgM1mm+EwJze0a9cubNu2DU6nkzrHZ/NjdXZ24u2330ZFRQUee+wxyGQyGI1GnDx5EkajEWVlZTQSm5mZiZKSEhqpDAaDWLRoET3pSDUbKSEcHR2N8EkPDAzghRdeAHA99SYhIYHmnZKx5+Tk4NVXX8WqVatu+nBIespPfvIT5OXl4emnn0ZLSwuGhoYi8nsff/xxaLVavPDCC2hvb4dIJEJiYiLuvPNOlJWV0QBNbW0tBgYGIJPJUFVVhbi4OIyMjGB8fBy9vb30t7OI9kjSq+Lj4xEbG0uFS1RUFBYsWIDCwkIIBAKaJma1WmnWQUFBAXV7kJxQu90OHo+H+Ph4VFdXIykpCXw+H+vWrUN+fj6sVisNagoEAlpsIZfLacRfpVLRijav14uoqCh4vV7o9XoMDw8jMTERMpmM+qJjY2Nx9913o6SkBHa7HWq1Gunp6dBqtVCr1di8eTPkcjkmJyexZMkS5OfnIxQK0eR8tVqN9vZ2XLp0CRzH0b4PWq0WgUAAV69eRUdHB2w2G+RyOSQSCSYnJ2lvDx6PR9cOj8eDTqdDTk4O4uPjkZSUhPHxcZw8eRJOpxNZWVlYtWoVysvLkZCQgMbGRvz1r3+lwpqUwt9///0R62RwcBBtbW1ISEjAL37xC3zhC1+gwnguK0osFuOb3/wmysvL8eijj1IznKzLhIQE9PX14S9/+UvE+4g7j/yKRVFREVasWIGMjAyajhfuvgKuZ+KQKkby7HQ6Hc00iI+Ph8vlQmNjI1599VXs2LFjRgYA+Syfz4eoqCg88MADcDqdeOqpp2bdSwkJCYiKiqIHos/nQ1JSEiorK1FRUYGysjJaivyDH/wAGzduRH19PQYGBmCxWKBQKLBmzRqsWLECSqUSVqsVhw4dwnvvvYfW1la43W7o9XpUVFTQtq6fROACN/lhyri4OI74t1JSUqiW1dnZSXM5BwYGUF5ejieffDKijJNsMqKKTxeKPp+Pmqq9vb1ob2+nC5OYkW+//TbOnj1Lm1+43W6sWLECf/7zn6FSqWgXKZVKNesCO3jwILq6uvCNb3wjIgrp8/lgMBhoExiSLkR8nOENvAmBQABmsxn9/f04e/YsLl26RBvdeL1earaTn4cxmUz4zne+A71eT33bb731Fm1A8kndKOH3sm/fPjz55JP01wTCmZqawoEDB9DY2Agej4f7778/ovzz0qVL+NnPfgaXy4WHHnoICxcupL64jz/+GG+88QaNuJOO+eSkz8/Pp/nJycnJiI+Ph1QqpXPF4/GoFkfKhklAjMw7OSBJtkO4W2p6IJHkMJMUnJ6eHhw6dAgSiYQ2wyaLnPy8kN/vx1133YXs7GwaDFSr1TO6VYXHAEKhEBwOB23pSHyhpCcwEeAkbYr8cgSpPCNWxcjICNVYOzo66M8FuVwujI+Pw+FwIC4uDl/+8pdx++2303lvamrCW2+9BZVKhe985zu0fzRw3WXw/vvvA7iej37PPffQ6stwWlpa8Pzzz2Pbtm1Yv379J15PwH/5fA8fPoxHHnkEgUAAwWAQ6enp+Pd//3eo1Wr84Ac/QENDA7WOSJtHUk5cVVWFjIwMWilGIA3tyVyF998lPR6I64ng8/nwu9/9DoWFhbjzzjtnjJc8L9JPwWaz4b777kN9fT1tpBMMBnHLLbdgx44d0Gg0sNlstI1BcXExMjMzIRKJoFarZ2QmkI50JD873I1jtVrxm9/8Bs3NzcjIyKCWErGE9+3bRy1ojuMwMTHx2X4N2Gw204sCgYD+bAVpJkImigRM5uKzCJrwfqTkM6RS6Sf+hVciDMlmIXzacUyHPBxS2hr+2UTjAa73viX1/iRZ/LPMA4G4CGYTJOHRVdLZi9w3+T6idZFf/w3PWSU+SpKbTDYLOTD/1jm7GeF5u7NBOo9JpdKIw5CkgJH1+Vk+++8F2fTEb0nK40keNfk5IPJakroY3pmMPC/yHInSAsz+y8vENz9Xi9NPgs1moxF+kUhEU7qm70Fy+JB1OFemxCdh+r4k++lmWQwEcpiHP9vwPfhpxnGz9UGaYZHOfiSWRNx34RkSWq32s/8E+6caOQPA3/4T5P+I7/x7jemfcW//nZmPeZ2vQ2O272XP+jPz2YQuN+3iP+MBTB/ff6dFMNvcTa+8utG1/278Txrr/xT+J83pXGO92Tr/Z/PfYZ5nGQPTdBkMBmMeuaHQnb0UisFgMBj/EJjQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR5jQZTAYjHmECV0Gg8GYR4Q3uc6bl1EwGAzG/xGYpstgMBjzCBO6DAaDMY8woctgMBjzCBO6DAaDMY8woctgMBjzCBO6DAaDMY/8f3mhgE7iJSMDAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "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(False,ax=ax,plot_sources_flag=False,plot_monitors_flag=False,plot_boundaries_flag=False)\n", "circ = Circle((2,2),minimum_length/2)\n", "ax.add_patch(circ)\n", "ax.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To check the performance of our final structure, we use a CW source at the desired frequency and plot the fields after the struture." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt.sim = mp.Simulation(cell_size=mp.Vector3(Sx,90),\n", " boundary_layers=pml_layers,\n", " k_point=kpoint,\n", " geometry=geometry,\n", " sources=source,\n", " default_material=SiO2,\n", " resolution=resolution)\n", "src = mp.ContinuousSource(frequency=1/1.52,fwidth=fwidth)\n", "source = [mp.EigenModeSource(src,\n", " eig_band = 1,\n", " size = source_size,\n", " center=source_center)]\n", "opt.sim.change_sources(source)\n", "\n", "opt.sim.run(until=400)\n", "plt.figure(figsize=(10,20))\n", "opt.sim.plot2D(fields=mp.Ez)\n", "\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt.sim = mp.Simulation(cell_size=mp.Vector3(Sx,90),\n", " boundary_layers=pml_layers,\n", " k_point=kpoint,\n", " geometry=geometry,\n", " sources=source,\n", " default_material=SiO2,\n", " resolution=resolution)\n", "src = mp.ContinuousSource(frequency=1/1.58,fwidth=fwidth)\n", "source = [mp.EigenModeSource(src,\n", " eig_band = 1,\n", " size = source_size,\n", " 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", "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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }