{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Image-Based Wavefront Sensing\n", "\n", "In this example, we will show how ot implement image-based wavefront sensing based on prysm. We will use the library both to synthesize the truth data, and as the embedded modeling tool used as part of the optimization routine.\n", "\n", "We begin by importing a few classes and functions from prysm and other modules and writing some functions to generate data from zernike coefficients," ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from functools import partial\n", "\n", "import numpy as np\n", "\n", "from scipy.optimize import minimize\n", "\n", "from prysm import NollZernike, PSF\n", "\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "plt.style.use('bmh')\n", "\n", "def bake_in_defocus(zernikes, defocus_values):\n", " return [{**zernikes, **dict(Z4=defocus)} for defocus in defocus_values]\n", "\n", "def zerns_idxs_to_dict(zernike_coefs, indices):\n", " return {k:v for k, v in zip(indices, zernike_coefs)}\n", "\n", "# a few extra variables are passed in and aren't used,\n", "# but we're aiming for brevity in this example, not pristine code\n", "# so we just collect them with kwargs and don't use them\n", "def zernikes_to_pupil(zerns, epd, wvl, samples, efl=None, Q=None, target='fcn'):\n", " return NollZernike(**zerns, # coefficients\n", " dia=epd, wavelength=wvl, # physical parameters\n", " norm=True, opd_unit='waves', # units and normalization\n", " mask='circle', mask_target=target, # geometry\n", " samples=samples) # sampling\n", "\n", "def zernikes_to_psfs(sets_of_zernikes, efl, epd, Q, wvl, samples):\n", " psfs = []\n", " for zerns in sets_of_zernikes:\n", " pupil = zernikes_to_pupil(zerns, epd, wvl, samples)\n", " psf = PSF.from_pupil(pupil, Q=Q, efl=efl)\n", " psfs.append(psf)\n", " return psfs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`zernikes_to_psfs` is quite terse, but has a lot going on. `zerns` is a dictionary that contains key-value pairs of (Noll) Zernike indexes and their coefficients. Unpacking it allows us use arbitrary combinations of Zernike terms within the algorithm. In `zernikes_to_pupil,` `mask_target` is used to avoid masking the phase during optimization, improving performance. We make explicit that the pupil is circular with `mask`. It will be used both inside the optimizer and to synthesize data. We will treat EFL, EPD, Q, and $\\lambda$ as known.\n", "\n", "Next, we synthesize the truth data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# wavefront data\n", "defocus_values_waves_rms = [-0.65, 0, 0.76] # noninteger values with nothing special about them\n", "reference_zernikes = dict(Z5=0.012, Z6=0.023, Z7=0.034, Z8=0.045, Z9=0.056, Z10=0.067, Z11=0.12)\n", "wavefront_coefs = bake_in_defocus(reference_zernikes, defocus_values_waves_rms)\n", "\n", "# system parameters\n", "efl = 1500\n", "epd = 150 # F/10, e.g. an unobscured telescope with 15 cm aperture\n", "wvl = 0.55 # monochromatic visible system\n", "Q = 2.13 # minorly oversampled\n", "samples = 128 # this is a reasonable number for small OPD and uncomplicated aperture geometry\n", "\n", "ztp_kwargs = dict(efl=efl, epd=epd, Q=Q, wvl=wvl, samples=samples)\n", "truth_psfs = zernikes_to_psfs(wavefront_coefs, **ztp_kwargs)\n", "\n", "def rowplot_psfs(psfs):\n", " fig, axs = plt.subplots(ncols=3, figsize=(10,4))\n", " for psf, ax in zip(psfs, axs):\n", " psf.plot2d(fig=fig, ax=ax, axlim=125, power=2)\n", " ax.grid(False)\n", "\n", " fig.tight_layout()\n", " return fig, axs\n", "\n", "rowplot_psfs(truth_psfs);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal of image-based wavefront sensing is to take these PSFs and use them to estimate the wavefront that generated them (above, `reference_zernikes`) without prior knowledge. We do this by constructing a nonlinear optimization problem and asking the computer to determine the wavefront coefficients for us. To that end, we formulate a cost function which calculates the mean square error between the data and the truth," ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def optfcn(zernike_coefs, indices, ztp_kwargs, defocuses, truth_psfs):\n", " base_wavefront_coefs = zerns_idxs_to_dict(zernike_coefs, indices)\n", " wavefront_coefs = bake_in_defocus(base_wavefront_coefs, defocuses)\n", " psfs = zernikes_to_psfs(wavefront_coefs, **ztp_kwargs)\n", " \n", " # t = truth, m = model. sum(^2) = mean square error\n", " diffs = [((t.data - m.data)**2).sum() for t, m in zip(truth_psfs, psfs)]\n", " \n", " # normalize by N,\n", " # psf.size = number of pixels\n", " diff = sum(diffs) / (len(psfs) * psfs[0].size)\n", " return diff\n", "\n", "coefs = [f'Z{n}' for n in [5, 6, 7, 8, 9, 10, 11]]\n", "optfcn_used = partial(optfcn,\n", " indices=coefs,\n", " ztp_kwargs=ztp_kwargs,\n", " defocuses=defocus_values_waves_rms,\n", " truth_psfs=truth_psfs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This function computes the mean square error between the data in our model PSFs and the truth. Let's check that it returns zero for the truth:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "optfcn_used(reference_zernikes.values())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This (probably) means we didn't make a mistake. In your own program, this should be verified more rigorously. To get a sense for execution time, how quickly can we evaluate it?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6.7 ms ± 1.19 ms per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%timeit optfcn_used(reference_zernikes.values())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the computer this document was written on, the time is 5.5ms per run. So we should expect much less than a second per iteration of the optimizer; this problem is not so large that running it requires a supercomputer.\n", "\n", "All that is left to do is ask the optimizer kindly for the true wavefront, given a guess. A general guess might be all zeros -- a pupil with no wavefront error. This does not assume any prior knowledge. The L-BFGS-B minimizer tends to perform the best for this problem, from experience." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " fun: 7.03776464420514e-10\n", " hess_inv: <7x7 LbfgsInvHessProduct with dtype=float64>\n", " jac: array([1.46556169e-06, 2.59737025e-06, 3.68297234e-06, 3.74944615e-06,\n", " 4.62710219e-07, 3.23273266e-06, 1.37816664e-06])\n", " message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n", " nfev: 208\n", " nit: 18\n", " status: 0\n", " success: True\n", " x: array([0.01205379, 0.02314243, 0.03408249, 0.04508823, 0.05602523,\n", " 0.0670839 , 0.12002982])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opt_result = minimize(optfcn_used, tuple([0] * len(coefs)), method='L-BFGS-B')\n", "opt_result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Casting the `x0` variable to a tuple makes it immutable, which will help when you try to debug one of these problems, but doesn't matter here.\n", "\n", "How did the optimizer do? Well, let's compare the PSFs." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "true PSFs\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# this is copy pasted from optfcn, but we aren't trying to make the cleanest code right now.\n", "base_wavefront_coefs = zerns_idxs_to_dict(opt_result.x, coefs)\n", "wavefront_coefs = bake_in_defocus(base_wavefront_coefs, defocus_values_waves_rms)\n", "retrieved_psfs = zernikes_to_psfs(wavefront_coefs, **ztp_kwargs)\n", "\n", "print('true PSFs')\n", "rowplot_psfs(truth_psfs);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "estimated PSFs\n" ] }, { "data": { "image/png": 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PNSeqxQgy77d6kse8n7qOerJQKKBQKCTp9bp1nvG5mafqSNWb9l1reuUteqyGhOpT6lTv1zz66i0Gmg0P1dlZye8O4hXoAGajHmSfcTs+7/1zWQtrkc+XnXNXm9M/iMbi0UDDevgSgF9dPf8Z33jbDzvnRpxzh31kZxW1dpQc85qS55hnWRun9XZay9nmY4mx7TS0wSt4lBCrpRmyppUYWgvX/ma+lkyqAWBBZuOKe3t7k+dZWlpaR+htfDEtW5aj8U/6PjizVo9j794OcannWIfbQtKOdQvgNgDPee9fWC3vHjTa4FOaJYCh1d/DAF5tkecvAOBCnb+MhgIaREMZbUi2E7NbiddN1iv5HVKU9purwrH3xdpHWhmh/Fvl0SqtTZ9GQrPUwxJ2e47/bTprDNj3YPugEMbaJcV6X47XzclWYda2C+sBDZFnIByjbImcEjWbhroppE+tARlyKmnZISPWekitTgmFa2jaEEb1HiXrtt7UgUqSWabea9+Jhk/oe1MnkzqvSIpVp6reVt3Pb2u/c0zawOxW4BXoAGYzrWLhGrMB3w/gZgADes17v+EOIoNMCiBPA5hc/X051lznAHBi9dw68MZijHkNCC9Lo9ZmiODqdeYBNDcKC2Q2fD2n5WvDs52GKh9LqhXM+jsN0LZ8LdN2YCGyrJYo66xAYyzT0tLSugkIajjwPrvuMX8zjfUq63EobRrZoLShcEPt7W0mzUcA3O+c+3kA/QD+cYuyH5Hfz7ZK367sEGY3jddOSozAtXMuRpZjhLQVIY4p1Fi5IQnVO2v99Jo1pi2RiZHiVsdp9dyM5HjdEtk0ZkPfP81TDKzplpAOjoVPaPxxLHY5REK1PBv7q9cUM9ZA1DqGQiqsDrcGrf1vdSvP28l2lqjqvXwGO4dHvcJ8f2pIWB7DfOglp5dejRU+o8V7K8mI2Y7jdbXsTWM26zJvfwTgTQC+AGCq3UI6Id5775xrq7flx1GiaMFhia0Fsj0Okd6Y9RrK195r0ypoFfyaF6/HLFh9Xk2fZvFZD7ol4TZcwnrDbaiJJbyah6ZRK1bDSaznWIeOrDdBSbJ2ZlnlzjvvxF133cXDWzLf2CzvB3CX9/5/c859J4A/dM690XufvHTn3PXe+2daZZQ1XQvZUcxuBK9bJTGi1upciBxnIZ6h662USYzw6n2WvKY9R6z+9rolELbsdkiy5hkiTWmEOYuyVekAZnO8GtkoZq1+tbrETsgLOajssTptAKwjy5bcadm2TVqHCfUJy9F7VCwZ1r9YKEeIbPMay9Y/vWadRlof1YvWOWXji9UTzHPWc2zvCS2zap2DrGs7BJmyHXhdrV9HMZuVIL8LwBXe+9mM6TslU251WMc5dxjAmdXzJwFcIemOIBJXoh/YduihoZo0IKtFFfJMW4CGhprsOeanjU7JnVqEMWAy35DysUoqZNkynYZXaL00jELjqAiq2NrHliTrwuRc59iGU+jzh4Z6tAPge6Rly+fQzicmmuaOO+7AHXfcAQAYGhp6NJA8S3v7aazG93nv/845V0Rj7cUzkuYRrA0TpcnfATiQIV2a7ARmN43XVpJGskJpgXRPcoxEppHjrKQ4dr2ddDHirPfFnsEqYOvB4jXtv0Ln9P40kqxpbJ72WqvnDF3XNC0wm+M1u2waszoqCjS3n9jorSWvSqYtQbP6IbTiRRph1vKoQ1Tv8LrVwSFPseZjdTWv23sUVyHdasmy6jxdMcI5l3h4tb6x5VV1XWPqyJCjKQtJtnXUMI6YtKFjO4VXoMOYzUqQn1zNbLvBey+AnwTw8dX/fy7nP+gasSpvAzDtA7FRoY6dxzaWxwJZrV4l0ySs1rupQI4NYWiHYdPp0I8CR6+xbryPz0hQ2Fm6oXcREuZLgCwuLiZ5ktDyOhdkZ1mFQiG5z3ufTFYgKbadngIQwDqSzGOWbwGt1rM1evicaoikSVaihQbornXOHUUDuO8D8GMmzcsA3gHgLufcGwAUAZw1acrOuS9nKK+QtWIpshOY3RRes0jaNwuRr3bJ8UaJ8UZIczujHCEJGYIhZW6JMs+p4g6dixHnViQ5dH/IQN/I82aUHK/ZpSOY1b4YWNOxqkNDZJn9OoAm58fKykpTSEWMHLNMey7kFbaT+KzjieVZ8m2JM+tgR3D1mPqJ97MsnTejepA6XR1dXV1dKBQKCdFlfqqP7Si2jq7qDnn6rm3Msf0WdrUK1tf2Ix3UsZ3CK9BhzGYlyD8B4NPOufthhn98hxYwd859Fo3JAuPOuRMAfh0N0H7OOffTAF4C8KOrye9DY/mZ59BYguaOWL7a2NhQ7QcOeZJ53R4reWYjtRaaBbKNqVICZ2OirEVsyfTquwqSYQWkVZ5Wyel55mXjo1dWVhKyrDN1dQiIzx7yCpMk05sc8i4DSD22Mce6cQmfme/JxlmlSYhcpKRdcs59EMAX0Vhi5k7v/ZPOuY8C+Jr3/l4A/wOA33fO/RIaEwo+4NcX8NOZCmysj7pZ2VLMbhVeNyPtkuN2SHCIZKad1+uK47T6ZhHNpxUZts8Ue95Q3xAiHaFnCpHk2PFmyXGO183JdulYbS8hnalkWb2YQDzeOLbyQ0jH2navupd14nl16PAeq4N53f6FRI3ekAea5dsRX53no4SY5WvYhOpd6lcl+ryfeaonOeSdVwMGQJIf62PxzDp1Ssd2EK9AhzGblSB/AMB3AxgFsCDnPTq0gLn3/v2RS+8IpPUAfi5jvk3eYjYiBQGvhWJuQsckYzFPcsxC1XLsOauY0kizfT77W61d3heKE+M5uxoE72EaDbHgvSHA8l0owVXirBa8JcWtwivst1OlGwJwK++cdrRZxDfWXLzPnPuw/H4KwD9qkcfdmQvcvHwAW4jZrcLrVshmyHE7JDpWdrt1bSUhUm4JbBpRtuWFSLIl9mnHaaRY67QZkpzjdfOyXToWaJ74bUdjQ3GtvA5gnedYybEu8cbytM+3bT1GmG04YUh3sp5pmFRdoxgKCcu0DjfqX97b29ub6FYbh02jQjmEDTnU+1UHp5Fku1W3DbVQ/NoR85i0g9lO4HU1XUcxm5Ug/wKAm733T3ey8O0Q7bSBZsJrCWpo1mbs2FrFISDzHm1Yei6UF+vTyptsLV2NmdJnp2hj5nl9Xp09qyCwlq0OddH65nrJ1nOsVizQHE7R29ubeKeVWPO6ehrYAdh3qcaKkn79tmmyUWW9R2TPYjZNWpHdkLRDjluR4BA5zXIt9iztplPiaZ/bKugsRNkS3rRzseNWJJnlbRZvOV53p8R0LH8rOY7pWHuvhuepTlWnSkyf8lwoTMCOvNrwDkv8LEapZ9TZY8m5EmbV+xaPvb29SZ3VE8w81AmloY2sN/UedaZ6inUZVepq60lmeUyvK07xvanOZb1eSzo2K0GeQiMGZM+JJVTAeu+H9QRbqxeIe5IVuExvyXIo/litYVrMOvSixFLTq/UWIsDsWOwQjhULbu14SIb5R4AVCoXkGnfW4ULp1itMgC4uLiYLmTNNb29vAuzQChdq1arFbb3KNgbZkuQ00c5qn8qexayKJbQxspvmJY1d7wQ5DhFQFetJtfen1TmtXGA9ubDp0oiyPReqbxoptuljhkqnMJbjdfdKzGmh19TZoTpUjxniFwqzULIMNG94oQRciTHTAVin3zQt60FHkL1H9ZPGH+vzqj7WYyWRrKPGG2u+dBpR7zIvvgcbP0yHFTEYIsHkDQyR1JhkEnDiVz3HvKZ61Bo4rwUdm5Ug/w6AP3LO/TbMrEG/urjzbhZLpNhAFCgxssvrzAdoJsuWXIc8yWx8QDj+2JJoBbL1JHOnO2Bt+0mgOTTDucbkuTTFbL3FlpjTO8xnqNVqCfElKV5cXES9Xm8i8zrBgkSYnmF2gGqpEoh8Zxbg2tFqp2TBHeugY6LfYZ/KnsYsJY3w2mvtkuOt8iTbsm1eMc9v1rrz2JLVWJ1jRDn2fO2SYr2u+XdSOeZ43d3Sqk1QByoxZH+uxEvJMbB+RQrt5603Wkc7dcRR9TvrQj1qHVaajyXUmm+rvka9xnrNho9QXzI9nUnUr1onCvWeOqaoQ0myNRSFIZKW+PJ76buy38vqWJaThfzuB8xmJcifXP3/g+a8RyOoetdKyFtsG756b0MWKRsRsH7ZOAUyyXKMHIcauzYgdhoKSGuFMl82TjsT1oZjhLxHel0tTeZt45FIiOkRVotXrVgS6JWVxuQ+S4oBNB1zaMjGKNtO1IZX6HtRA0VjlVsRF76bnRLn3E3e+8e3sIg9i9ksEiO7rYhuK2KYdhy7r526tnNf2j1pBLSVR9ieD6WNkWSLQXscMwI6ITled6dYo8i2DV5Tbyf7de99k4cUiHuSbfgEsKY/7aQ+O8qqTibdylo90dabHLtO/adOHj6jEnIt147okjtojC91KbDmva7X601OI5ah4Y52cw/rKdbramTwfdg4Z9W3yhP4TVhuFjzudcxmIsje+82tR7TDomCwREsJrxJUS7yA5vgfBYaNI46FWTAPTWMBpaED1iK2xFlBymexFltMOVtQK7hZN9aFQGbnUK/Xm8DIzm1paQmFQiGp0+LiIgCsI8nMh0M//G2Hd/Qd22sKYD67vZYmu8C6fcA59yqAPwTwx77D2y7vdcxmlVBH3S45zkKWY+d4XsmkLcPWtx1JI9dpZcXqbQ3nmCEdeq52SXKaZE2nz5DjdXdKSI9aHau/6dVUcszr6hUFwuTYOkNCK16EJt9pyIQlzFZn2PAHTWN1L0XDO9SppXjSiXc2hrinpwf1er3JA8xr9Xo9qTOf15Jg1cv0JIdIsup5/R7KO9QDbUep1fvcql3sdcxuGJTOuW7n3K9v9P7tEkuirJUJYN212IQwILxpiCXHJJXqSeY9SiYVUBwGYVkcAlpeXk4aPhsvSSjQIJ21Wg21Wm0dAWXccF9fH4rFIvr6+lAoFJJhHJLver2OhYUF1Gq1ZOJcb28v+vr6Emu0Wq0m76Wvrw/d3d1YXFzE4uJiU30JZIZYEJQ6oc96h+37VGCqx8H+5rOGlHsrUWND/7ZRDgP4MBprjD7rnLvfOffjzrnyVhW4VzCbVULkth2ybD1crcixVQqWZKqit/WyRDTW5qzBav9C9+t1lmFHU/TeVu8j5AHM8j71GVr91veWRWJ43UbM5niNiOpKGyJoiaK2m7TQRqA1OSbxA5pD+6x3Wb3GSkx7e3tRKBTWkXTq2Z6enkRnKuFmfe0qEyxTr2sYJHUn/wqFwjqHHHW1GhHOuaa05BsMo9TnAZodUawTn4mio7X6bvlbv5t6+/XbtpL9oGMzeZCdc3+LxlCPygCAQwB+I2thOyFWCQJhKzd2zQKXDVmtIzsklOZJZhrG5zKNgh0AFhcXm8CqnmKSTJLFUDyV/W8VtpLovr6+5NkYb0zA6c53JMQao1yv11Gv1xPiTcLOe4H14RXWG6xLyug6x2qc2I4yZNUqeHe7deu9X0JjUf4/d84NA/gRAL8C4Hedc38G4Pe89w9tNP+9jNmsEiNvwNaFXcTOAWuKCGieyR8iwbE80yRE4i3pDRHpEIGPEeLQe0hLH/oG9r3Y+2z/lEVyvO5esVhTEqrXdDSQx6pj1fFhyXFoNFfDA9Q7bIkx0BxiYdOqnqUu1bzVocPrNsxCY5b5Hig6cd7GS3MjEIZSsI59fX3Jeb5LplVu0Nvbm6Rh/eiBpp4PeYdZh1BoKetAXczvqPHI9hlDsh8wmzUG+dPmeBiNXXc+HEi768R6gPUjx66FyFko3lVJnz0GmoGuQGN5oaVr1Iuqz2CHlRSQbIg2pplilbFatrzOfHXtYo0VJpGml5heZkuSgTWCT2NCwc/ybXiFeo5DEwr0e/GdquHAdJo+TdpR0M65dwH4BBrxgJ/23n88kOZHAXwEDUX3uPfe7gYUyncAwH+Jxu5BRwDcg8Zs9j92zv2V936j6wfvacxuRjbi+cxKhEME0BLMUPmh9hhqfyGSnpZe659GlFuRZNsvhu6J5Rm6lva+Nio5XnevhNqDdVhou1EPqfbh7PsBNOlYvZ/kkjpXR0NteCLLB5A4dpg3gEQH2Q1DmF7/dIdXfT47uszr1kvL51NHGYCEdHPSuw0v4coWJMSiYvQBAAAgAElEQVQAEh2sJFkdbdS/1ijh81kdq9hS5xt1rE2XFddZMbtVeF29b8OYzRqDfHeg0M8C+HusB/aukjRL1pItS5xDnmMlxxqTbI+B9Qt7KwD1HvWWKuBZD2vlWmKsjZBlWIXN32oZ6596bjX2iZ5jWqccBiIp5jAVwa1DVvV6HUAz0JkH34GGXhDQ1mpXwCrQrWIPfeuYtGPdOue60ZhE804AJwA84py71zcWL2eaawH8TwD+kff+onPuYIs8/3M0ds96N4CH0MDRf/TeV1evfxINEG9I4e5lzLYj9lunHbdLjmNEOHQuRFS1DvYeez6kbGz9YmLrbYmyLTNEkkP1akWS9XyawrSEeSOS43X3SqgthJxONjwxZKQpWVbybD2v6pDS0AMlx1ovq1OtF1i910qIeU1HaFX0nE1j2yzzJEFm+CGJLXVjvV5HrVZb5zyr1+uJbtaQTJJkG7tMnapOu1g8sho1rHOoX7DGTqt2kQWzW4HX1Xs2jdmsHuSQVAF0xjWwhaKkSztxJV0KahJaG4McIstAmAzbY8ZG8X71lrIueo7WtZJoWo4sU6/ZCQR8bv7XZ9dYZgX0yspKEkKxvLycgJWhEktLS1hYWEhii0mKa7Va4jl2ziXhFRw+4kQ99SSz4+EkAgUm34Fun8nvoKEXwFqoBTsQawS0ahdtKOvbADznV5dbcs7dg8Zs86ckzT8D8Env/cXV/M+sy6VZPg7gbgC/5AOTB7z3F5xzv5i1ghllT2A2TdKMn60ix5ZI2nOhOsVIsV6LEcrQc4XqaLFtya8lxTYuuV2SbOsUy8sq1E5IjtfdK9pGtE1YQqwOKbvCk3oqlahanaqeTB1FpX4IjeCqE4xprIeZzho6eNSZpRyA+lZDLdSxFCLIzF+dPkpU6TXmcxcKBQBo8gqr5xjAupFaDa/gsZ3zo7HbvAbER5UsYVbR75TWLjJidivwCnQAs1ljkH/KnCqhEc/xt3rNe39nlvy2UyxYQ1auJc7AWgNQ4IY8yUDz6hZqsakFZ8myhhYAzcvUaHiCxlCFJvFRlDTrc6tHWRWnhi7oMBO3qVxaWkK1Wk2ILifs1Wo1VKtVFAqFJpLM611dXajVaslzs94sR9+p7t6j75cdiI3/5jezYSSh+GN9NzFpQ+FeDuAVOT6BRuC/ynWr7/0hNIaJPuK9/+uUPD/mvf+cPemc+2Hv/Z+s1m/DnqO9jNl2JERwedwuOc5KlkNpYiRa62PrlUb0Q9dt2ZbYqrfO4t06A9JIcei5te5phDnt/GYJc47X3YlXS6r0O1tCrG3Qejbt6KHVsUryrOfYkmPn1tY6Zp7qEbbp6AiyhF09yUqcbZiFrbfqXgp1ruppdRZxkjzP0+FkwyuYTsMp+K6V+GqMMetqibrWWb+Z8iC+D35rmyZNMmJ2K/AKdACzWT3IPxE45wFcIdc8gF0FXvVoEESqIIDm9Yv1Hv3NPELxONaTHItBjpFjAqmra22TDLVueR/QaJy6AQjBxmshT7KNQ7ZKnHlwtQx2BJxly+EeG15BUsxOiMdMw4l+SpLTVrLQoTOtq/VIKGG2z6MdaEiJ27bB9/rZz34W99xzDy/dkq11rZMeANcCuB2NOKcvO+fe5L2/FEn/aQDrwAvgUwD+ZIN1UNmTmG0laR1uiOh1ghxbDwvTWfIZqqNth7b+mp+V0DlLri1ZtkSZaWMxxqHnDxFz+9wWnzatfV/2WruieAU6gtkcr1ss/PYhXan6lnoAWL/cqpJhS45t2AXvVzKrelidUDxHcqx1VWdRyJus5fA59TfT6aQ21fMkrpzjo2SeulRXjALQtLoUACwsLCR8gvqV75ichu8mNHIErNeXFrO2j1HDQp1SMemwjm0Xr0AHMJs1Bvl7s6TbbaJEUj+6JcshK0k9lkDYyrULnIfCLoD1nmRd1Jv5q9fYkmNaitqIlUjacAk+p9aFaW04AkGnHQpDH0iUu7u7E6uVnuOuri5Uq9VkSRqS4r6+vqbhHrVy7cQAIO6pt+RZrV8lzNYA4P1ZCDLf0fve9z68733vAwBcc801jwaSn0RDUVGOrJ5TOQHg7733iwCOO+eOoQHoRzSRc+51qz+7nHNH0TyE+jo0hlU3LXsVsxuVGOFV2ShZjpE9pgmVGSO3aYQ4Lb3NV/sCe97WudVz2vJCecfIbuhaqH56n02TRWxeLTCb43WbJWaAhXRsyOmkTg/1ytrRRRJJJcskgQDW6U/rOGK9dK6MelFJmO0IreatRNd6ki1G7B/TMh/n3LrlUp1zQZKsu9kWCoUkDUky87CeeBteoXHP+k5UL8eMXPIN5RUxaUPHdgyvq3XsGGajBNk5V/LeL7TKIGu6nZKQkrBxSwQJsH4CH38rqO3QP7AWL6UzUNWKDK12ofkpkLUBW4+xxvQyDz6LDbOwIGYaNlw+F2ON+cfhnnq9noROcPLAwsJCcs45l5BkPp96m1lfHqvnmO/CeuRDhNkCmO9aARyzftPaRdZJP2iA8NpVsJ1EYzasnUH7HwG8H8D/5ZwbR2NIKLRF7HNoeIIcgOfNtdNozNLdkOwXzLaSVsQqjQhuhBzrcau62HSWSMeup5HMUJmWyIbKsZ6j2PPZvOw1rYumtc9h88hCgLOS5Byvux+voXaj80pUL/FaLFyReahHVEMmAAS9xCyH5DoUp2zXNdZRU0umeY1/qk8VV/rfXlOnloY8kKirA4rviw4njuoWCgV479eNzHKJN523pM4/XlPCbL3tSorVwaTY5Hn1pmeZ55MRs53EK9BBzKZ5kKcADGXI4ySAA1kL3Amx5FitVZ7XIRMbl6OkOrS+YMxzrDFOHFIhKACs20SDhJIEWi1DJczawdjdcujxtSClJcm6K2Em8V1aWmraTGR5eRmVSgX1eh2lUgl9fX0JKWZnUiwWg+EV6jm2JFnfH98tya8aCaw3yTPvswrYGjXtKN0s4r1fcs59EMAX0Yh/utN7/6Rz7qMAvua9v3f12vc7554CsAzgn3vvzwfy6lptkw96778nUwWyy77BbJrEvpt+9zSCGyKiobSWdFryZ+tivUd6b6juIWVq81EvFvESI8T2vA0p2yxJDr1rq0hDeeh5lVjeMcnxujsl5JjQvpkEzTo3QrGvwJpDSuff2JhjDcnz3if6hbqcIRKaH0dKqf/psdXdX5UL2E21WBcbOsHnVdHz1G+9vb3J/bqttHMuGXnV1Sv6+voSEkwn1srKSpN+ZV40Jiwp1vAWXrP11rhlNUBCfYD9hlnaRoY0HcPran4dw2waQS465z6TIY/e1kl2VkKKUyU0KSBEqjVm2AKeZLlV2IXudkOrmEDnUmscZtH904vFYlMjVY+replJePm8Spb5PHw+dhjc2YcT8+bm5pJzg4ODqFarmJ+fR7FYTOpfrVabOjGuZkHg6rrInKWrXnWNR1ZlbkModIgtFH+sv5VItwJmmx4peO/vA3CfOfdh+e0B/PLqX5b8Oq1sgX2E2SwSImYqMcKr12OKTY9D5LgdYmzLtYTYpgn9Zno14mOEOBRzmEbs9V3ECC7LSCO1sfcTu1/r30pyvO5uUWKlDg/VS9o2qCuB5lFdO5JrJ/fpHB2mpR5je1JyzLx14yqmiYVZ6KipdZqF/mJ4VoxSz/FZ6IDiGsckwG7VAUVuUSwWE0eYcw3nGo+Zj8Ycq+PO6lQbQhFyNqleVc87eY+OULeSdjDbabyu3rNpzKYR5N/KmMe6BZ13k4SsoJACsjHJSoiVODOdxiSHyLF2AOoV5jCI9z4hthqTrF5jtYwBNN2r5FSfgyAiuGl569AKsEayGU5BYtvf34/e3l7UarUknILknMcELj3JtLZ1HWR6zNkx2fgoDa/g84Riji1orVdKgW1DMNKkXYXbCXHO/bX3/l2rv0M7Z7Fub99gEfsCs1kk7fuGDOI0r0irY+vhCpFjm3+IJIaItL0W80hRQqFglmhqn0RcxMItYiQ6hg2LvzRSrMaqfZ+t8Gklx+vuFdsm2N4oNnyCv62DQ6/pUL+SXxtTa2OQVV8yPb2zbHd03CieSZipv1Rs3LHWNw3/Wm/iUQm/7hegXuC+vj4sLCwkadWTrKSYxJrxyBpCERqpDU3YC4UsUixObWxzB0MsOiadxmyUIHvvf2NDNdwCcc69CGAWDdf6kvf+rc65AwD+A4CrAbwI4Ef96hp5VuxHtx7jmMIA1sdL8Tcbs1q1bHAEHICmJc70mGEWDJEgWaYnmRYlGyXTqaVJy9Qua6PDQuxQlCirAbC8vIxqtYpqtYqFhYVkd7zu7u7Em1wsFpP6VSqVJAwDQFO4xcrKShK3TNDyWWh9cphJNybRyYh8Lu0I7bey30e/jbSZ1DbVjveqg6Leoo4v/r9bMLtZvGYVVUpWQenvdshxLG3seto5e28ofUjZss+J3WcVLYAmz45VjMwzVKc0kqzvNivBbYf8hkh1THK8bp1sFq+2XagHUz3JIUcTf/NaiAAzb3Xy8FqILLOtkPSq7iABVoxZYqxEk7qUdWTZlvjxWSy2NayRdeV20TzHOuqOeX19fahWq0k69RyzzroSFkdtASS6VnWnOvRs+KKNW7Z9ln4bNYo1/Csk+wGzm9koZLvle7335+T4QwD+xnv/cefch1aPf9XeZL0h6iHWxqzxsMD6SXr2ntDQi1pqbJQkrkDzTjgAkgl3jO1lrDHjj3kPQzEU7Bq2oHHJ3vsmjzD/2EGw/jxfKBRQKpVQr9dRqVQwMzODWq2GUqmEgYEB1Go1zM7OJiEX5XIZlUqlieRzoh7JL1e74DrHBJPdvcd6i62i5j0hb5um4XcIkZGY7IR1673/9/L77m0tfPtlQ3iNiSVTIVJqr4XSxbycNq0qgnbIsSWpoTpZYmzT6DAogCYly2OSZA37IjEJeY41v9AcC2t42n7TKkx7T4hkt/qtksWgzfG6pbIpvFrnhbZXbYvqzIi1IabTFSvYxlmWjUlmWAWP6VkF1uJmueIS87DEmM4cDb+w+gVYCyGx4RUsW3EYWm2qt7c3WeJNy3SuEV4BIPEkk1ArSSbm6YSyDiXtD3hN8aPvW8m0xb/FrOVRrwXM7iWCbOUH0VgTD2jslvIlBACsgElTlrE45BARU6sMaA670NhatYBp+dljeoNJhDkcpHFGDHHwfm3WKvNaWVnBwkJjgnO5XE7+isUiSqUSisVi0+xcoNERkAzPzs4m5Q4MDKCvrw+zs7NNnuOhoSHMzs4CQEKoq9Vq03BPrVZLVrOg51hDSjTWmh2F3S3Pxk2FQjCsJ5/vX7+ZGjcx2Qnwqjjn3g/gG977p51z16OxNuMKgJ/13n97xyq2dZIJrzFJ80SEiGvstx6HOvkQUQyVESPLlvjadHpN26x6nEJ1VlKpnin2O3bycFp9Q6TWlhUj8DGl2I7nOHZ/q+s5XrdV2sZrCHM21CLknALWHFd0lmg4HoAmnaGhDtTtGs5Azy/LtOQYQLL5lTqyeE7XRVbCqcRYheWyrlp3JcvU+RxRpVOsXq8n+pmT3Kk/S6US5ufnE27B2GVyC4ZJAki8yFZf6m++cyW/9htaQzbmUHwt6Ni9QpA9gPudcx7A73nvPwVg0q9tH3gawGTwRiG39jyAJgKm1mto1qf9rWRN1xVkmAQtYDZg3R6S5BhY2z6S5JiNXicW8BzrzVmnhUIBAwMDKBaLCaElIVYrmB7l7u5u9Pf3Y2RkBAcPHkSlUsHFixdx8eJFVCoV9Pb2YmhoCL29vZiZmcHy8jIKhQL6+/sxNzeX1Nt7j4WFhYQUc8tM3ZqaZeoayHb4TYlwaIUQ+95befmYz25XuAB+E8B/tvr7f0VjqZs5AP8OwPftVKU6JBvGa9sFBchd2rUYOY55UTWfdshxyGMcO69t1xLpmIdKy7NDqkqSQ2VbJ0Do+VVJan31d+ydpf22+YYIekhyvG6pbBiv2g6UhNnfmh4Ie4+pH/hbHSV6LbQSBfO05JiT0FXPMwSQZVNX6koYrKuGKippJr4Uj0qSeT/v02XYdL6RTtpnWYVCAQsLC8nqFRqTTILMUWI640IhFDbmWAmz6lUNZbRhWboYgObL/ia1Ue0DzGbdanrMR5bU2Cb5Lu/9SefcQQD/j3Ouif177/0quNeJbbQ6LKNhCdaStQ3I3mNXsCA4vV+/axyQTo4JclqUJKVs4IxNUi+wXYGCAOexepBtCAYbOoeYyuUyBgcHcebMGUxPTyeWa1dXFy5dupRMzmN4Be/13icxyDbmmPWmkaBDwbrrj/UiK5jthDv9Fgpy9QzYjjomuwC8E977KedcEcB3AfhhAIsAzqXflk12GLMbxmsriRGqELHV31m9n6G+weZjy4h5Y7MSY4r1yoQMQm33eo1GqQ01ihHf0HtMe0et0ih2Q+80VmZWyfG6pbIp/cowOvXu2nBD/gawTq8CzSTahjUocVNyzHbPtHb1CupDAIkHtlQqNcU1q0OJBJbPQB3O+ivmKJbMKwlme2U4Ix1GdCaR8KruB9A08U7DKzgRj0RaJ/bpwgA2zErDF/X9an+g796ObFn82pCNmOwHzGb1IL/snHsAwB8CuNd7X2+7qpsQ7/3J1f9nnHN/BuA2AFPOucPe+1POucMAzoTuVasq9sH1o8cIsQ3B0PutJ5ngYqPVIPwQOWasVK1WA9DsSa7X63DOoVgsAkBClElKdQHzYrGIoaEhjIyMYGhoCOVyGaVSqWk5G13KbW5uDpVKBV1dXRgZGUGpVMLU1BSmpqawuLiIvr4+DA8P49KlS0mccbFYxMLCApxbmyjAiXm6ex5XwkjzHIe8yPyd9p1iHuWQ16xFu9pgi+yInHXOXQPgTQAe8d7XnHNlAK0rnk12DLObwSvQ2gvZKv1q2VofW78ocbbXQnmGjkMENHaOosqDis4SYZZjlRYxRQOcfU7I4LQepFbk1d4XMgo0Xex82jeLpU+THK9bI5vFq4bPaTuz7V3bi9WxISIHNG8coiF3AIKeZOZDrzDvJTkmmXVuzZOs3lESVi1XsWdXsWAa/VOSzDhjhlGoLrbOMBobrIf3jVFaEvbu7u6mcAryC0uYbWiKxiLrSFMoRln1MICmUEh93iz6lWl3UDaN2awE+Wo0djH5VQCfcs79CYDPeO+/0maF2xbnXD+ALu/97Orv7wfwUQD3AvhJNJbA+UkAfx65f52VStIGrAHPdtI2XsqC2g4BKcjYwEhmSUwZ6ws0k2Pv/TqyzJmuNm+NkWLZAwMDGB8fx/j4OAYGBtDf35/EHhOQup000PBkz87O4ty5czhz5gxmZmbQ09ODyclJ9PT04NVXX8X8/HyyFvKlS5eSEAq/6jnmxLxqtZrUhZ0Cy+W7JmG2Q8C2o7RDQva89fq3q4wpu8C6/RiAR9GYOf5fr577xwAe71D+V2MHMLtZvAKtY4p5HPvWafende6xNhXK0/Yp1qAGmmPk9T5LmO0oCf94nxJW9iNMq0sq6moxaeEWWQivlmnf60YkRMr1XWS5P8dr56UTeNXvqm1ZR1i1TfG3He7XezQv9YayHF2xgnpTRx25EpN6jkkWGeurYRY0MJV0K3nXeikObbiFtmfn1tYt1kl5qsN5TtdyXlxcbJpEr6PMuuoEdSqwRpj5LCEvMtNxRSzFndWxIWdTqE9Ik/2A2UwE2Xt/FsC/AfBvXCPY+ScA/KFrDLv8EYA/8N6/1EbF25FJAH+2+pF6APx77/1fO+ceAfA559xPA3gJwI+GblaA2fOq5GwAO38D4SXenHNNFrP3PhkyAdZikmnZERhAc5iFkmO9zvAELV/JbblcxsjICCYmJjA2Nob+/v6mSXkMs2CMMJ9Lh2GHh4eT8IpTp05hamoKy8vLGBkZAQC8+uqrydJv/f39mJ2dTUBPq5hhGvV6PSHMHAoKTdLj+ZC3mJ2RJbwa222NFk3Dd6V5xGSnweu9v8s597nV35XV0w+jsc1mJ/LfKcxuGq8bIb6x32kEz5IzSwxbhVnY60qOLQlW5amEWQ1ElqFtmWl4XpWkJcHqgQuRkdiztyKpsW8S6lPtPVnJb5Y0OV53H16BNf2p7RoIO6eUcPG8ElsbQsffumqFTsoD1raYpj7hhDzmSXKsq1mod5leY3Wgab6sLzFnSTGFHIDXmQcdVF1djZ3yKpVKMrKrK1owLZ1MDMlQUsxjfXd8bk6Q1/PAmheZ99i+gd9Fve98Hvu9qIc1rDEm+wGzG5mkd2j1bwjAYwAuB/B159y/8t53fEFz7/0LAG4KnD8P4B0Z81hHoHjeKgkqk1A4hTYygoNWrDYanWVKxaWeZO99MoOWDZrkmORSl3TTRl0oFDA4OIixsTGMjY1heHg4IcL9/f0ol8sYGhpK/kicWZdqtYrp6WlcunQJ8/PzAIDR0dHEgj158iSq1SrK5TImJiZw+vTpZJc8kuRyudw0cUBn5LKzYYiGtUw1VqpWqzV5CfiutVNlRxEjPNagiXnHQm2iHfA6594F4BNobIX56Vhbd879VwD+BMCt3vuvtahDxTl30Dl3KHNFNibbhtlO4NXc1/J8Ky9njDjr+ZhXMys5DqXXc5YwU7RPsd4qez/z0H5GFSeN35DnOBSaFOv/7G8+jzoa0r5LmjMi9ruV5HjdnXjVdqKjsqGRPuuEsu1SHRuq80KhFcxbJ/ABaHLEhMgyyTHT2xFZlm2XeCMpZf2pz9WgZRslweVSrBxRJVmvVquJ51cntZMkc/dZYjkUTsFQRhvvzbpYL7LiVz3KlmPoNzPtockBkEXawexW4HW1DpvCbNZJejcC+HEAPwZgHo1lX27y3p9Yvf4xAN/ELtzxR608JbWUmMfIDv0Da55cJW48DzTH++jaitYS1DAL51xTDLKSZ23EzjmUSiWMjo5ibGwMIyMjybJs9CYfOHAABw4cwOjoKAYHBxMia/eTX1xcxMzMDE6cOIETJ05gYWEBhUIBhw412tDLL7+cbC09OjqaxCT39vaiVCphYWEB5XI5sX5J8KvValNnxvelQ8C6woR6CwhaBaEFtnasVnFbRZvFc5VVnHPdAD4J4J0ATgB4xDl3r/f+KZNuEMAvAPj7DHm+C8AfADhsLnk0OonN1nnPYhZoPekuy++sXtIs5JDpgDA5tgpWr/NciESTzPI3ybH+BtbIMGMUrVImceaxGvj2ndrnS3sn9v2E3neaxL6B/m6HKGeRHK/bK9bgoQOEot/cjhhSrENKV61QcqybZFGvUnQXV2CN/CpZ5rwZAMmIJ4AmMqqjxdbIDBmtep15cAS3Xq8nhNjuO8DVq3S1K3IHDYWg7tZ9FPSarmJhY8HtOukWy9aQ5nNbI1p5FL9pFi9yFtkKvK6m3zRms5oEXwYwCOBHvPc3eO9/m8AFAO/9iwD+94x5bavEOnpVHASbVQCWhGkIgCXROptWA91pbVK52Zhk3VGP5FgbLes5ODiIgwcP4tChQxgZGUnWOj5w4ACOHDmCo0eP4uqrr8Zll12GkZGRpthmrnl88eJFzMzMYGVlBcPDw7j22mtxww03YGRkJCG6Bw4cwGWXXdYUNjE0NJRMKGD9SHhJ5C04GYYBYN2wkBIN9SrYb2LTW0Ua80rp/7R2ocNlOiwWkNsAPOe9f8E3Js/cg8Y6oVY+BuC3AVRTC2/IJ1fT93vvu+SvM73OHsWsGrOh86Frrc6H0lmsxwi5lRDJjZFjVZw8p8a0NSa5lCMVHkOtNI5fl4ViPsDaqJV68Sy5SDMiNkp+7e+s71HvSTNeNG0IrxHM5njdRuE30PZtjTE9T7EEme0hNj/Itmcbr6xkWVemoAMn5Dlm/bu6uhKC7X1zKCLz5nNw7WJilTjln+6BUCqVkjlBS0tLiROMoYmh8AndZVYdbkp4GZ6pRDU0Oq76UA0Q+w20v7Ji+zzNP03a0LFbgVegA5jNGmJxyHu/mJbAe//hrIVup4SUoRJcYH2MsfUk87wlwZY467IrGnsLNK9uwWv0FGuMMgkn03R3d2N4eBgTExMJMdb444mJicRjzHhjLhPDP92MpFKp4NKlS3CuMYt3bGws6XhOnToF5xxGR0dRr9fx4osvYmFhAYODg6jX65iZmUGhUECxWMT8/DzK5XKyOHnI6qWFrOBUi9daqfqNdHhIv6NauyGwZfVGaWeeQS4H8IocnwDwNlPuWwBc4b3/K+fcP8+Q5ygaa45u1TTfPYvZmKQRvKzn+TtE5KwxHboW6z+A9Z5j9bCowRcj0cSuXV5KPcc0uEmcQwpSDU8tX+sfegdWefK89R5lkSwKtN38crzuTrzabx3Sn/Y325/OK9H2C6x5KZleN/CgwUidohPulPx2dXUlhiXbj/Uc6/0apmQxqASP+o4hEZqW5JnPxryda+yUx7k7OqLLZ6LeJ861Pupo0r6F6cgX+JvvMOQ8Il/hOwp5nbVP0HzUSGnVLjJidivwCnQAs1kn6aUCd7eL7ahjXhMbY2zvVWVhwzSAZhLNuGM2WGBt6RZuxczGyFmsBKguDzc8PIzx8fGEHA8NDWFiYgKTk5MYGxtLNgnp6+tDqVRKhnZIjnV2Lj28c3NzOH/+PKanp5MJeFdeeSXq9XpCkknKX375ZTjnkm2nuTmIzggm2GhlE6g6i1jDKZhGOzX1DvC3Giux78r0SjaygFLB+xd/8Rf4y7/8S166peXN6+vRBeBfA/hAG7f9AYA7ANzZbnlZZK9jVmWznCRG1iwhbkWcQ+RYlUbsmOlDQ5I2xILlUEFarxXzp2FqSTGPLfm2nr0s3qCYc0GP7bUYKY4R7awE3CrbzWA2x2vnhe3dhvZY4sxvrd5eHb21TivqEB29JTYoDFFgvtQrvMaQRmC955hEWx1T1JcAmvQxy+U9urmITsRbWWnsblupVLCwsJBgkjvichMQ5QBcKtVObOdcHWDNY873pCO2JM96nunUuKYoZ9HjWD+gooZNmnRKx24Qr0AHMLtXdtLblFjSFE/hmukAACAASURBVFKMqlCsN0XTa1yUNjy7BiTBykaiG4Ww4XMYVddv5PBMoVBI4orpHR4ZGcHk5CQOHz6cEGYuwzYwMIBSqdSU18zMTNMQbX9/PwYGBpLYZS7x5r1HsVjEkSNHUK1WMTU1hZ6eHoyOjuLSpUs4f/48ent7MTAwgIWFhWTSgU7KY/wxJxCw89HJBfQ0WwBbr7D1zus34LfSjjQUt5xF4TLNe9/7Xrz3ve8FAHzf933fo4HkJwFcIcdHVs9RBgG8EcCXVtvJIQD3Ouf+Cx+fSPCfAvjvnXMfQmOnKq3b21Mrv88l7fulEbs0cmbzTCPE+rsT5Fgnz2iIhS2fRib7EoYx0QsGoGkzHht/SNwzf10TOfQsMW9x6L1sxkjphDfZkugWmM3xus0Sw5de1/MktNZjrESbBqUai8STOl9IZp1zTU4XklhKiBwzPUOU7HJrGtIQmitA/a7pmAd13dzcXLJylW6wpZ5kep0Z5kHPMfGvK0GFVrTQd633sM5819YhxXrHvmnMCcV3mCZt6NitwCvQAczue4Ic+rCxD67pNTxCvTJMQ1BYjzHT68oOCmiCnQDUJWqo7Og5HhkZSeKXRkdHcejQIRw6dAjDw8MolUool8tJeIVO9Jufn8fs7Czm5uaSCQLcuadcLuPqq6/G4cOHMTg4iJWVFUxNTWF+fh6lUgmHDh3C3NwcZmZmUCwWMTk5ienp6aa94bmSBTuQ0LIwfGd8Jn1P6mXQb2LJslq1Vlnz2HbKWRU5v3FGeQTAtc65o2gA931oTKZhXtMAxnnsnPsSgP+xBXg/vfqXSwZpRbBC+LbXsxC1tPZjy9B6xY51PgLvV+Wq6Tjqo1vjcjY8RfsK5mU3B9GVZUIkNw1P7b6bNKId+70Rwp3jdfeKEibrrADSybINwbBGWmj5Nw2fIMGk3mSccXd381rIJK2sJz2+6jyzjirmo2sua91IUu3+ArrCRKlUwsrKCmZnZ5s20VpZWUmMXeaho7AAmgwAjhbpZH+7aohObGQe+k757tXJFwqhSDOg7b1p0gZmtwKvQAcwu+8JsopVXjEPiSVutlNXAqhLzOgqDQynoMULIFn6jN4hAE2gJSBJjukVHhsbw+HDh3Ho0CEMDQ2hVCpheHg48S53dXWhXq9jbm4OFy5cSMixTgjgTnxzc3N47LHHcOjQIVx33XXo7+/HyMgIpqamsLKygoGBAUxMTGBhYQGLi4vo7+/HgQMHcPp0wwArFou4cOFCk4eYz6sLnnPISIEUmpQXArAlG9aYiXn82iXIWWMavfdLzrkPAvgiGrNf7/TeP+mc+yiAr3nv782UUXOed7d7z2tF9BuGvutmvJHWExxrS6oMrNK26Vp5kkmOdYhUQyN02Fb/SH4XFhaSJRWZr5JiVXS8h8cWN60MCascW+Ep7VuklZXjdf+IxZFiItSXM73O/QHW4mqZhverjlCyrN5j9QYD61ew0HAGDcOgoamT4FSnaXksn/sMMKSREwCBho6vVCqoVCqJju/r62ua0EeHmTrQdHIgiToxrnUIzXeyscT8DTRzGZ63k+VC/RjfQciYtf1bTLJidivwuprvpjGbdZm3PgAfRmOnnzHv/bBz7vsBXOe9/7ebrcRWSswasmIVioKCANW4m9jEPv2tO+GpAiMQdHiH1uXg4CCGh4cTz/H4+Dguu+wyHDp0CIODgwlhHRsbQ7lcBgDMz88naxvPzs5ienoa58+fx8zMTBL6MDw8jIMHD2JgYADd3d04deoUVlZWcP311yeE+8KFC+jqamw7ze2lu7u7ceDAAVy8eDHxePf39yfvglaiVdr67tTbztU6urq6kmEnYL2xoh2sepzVamb6dr81v1MbHil47+8DcJ85F5w0472/vVV+rlHJf4oGpsa99292zr0djck6n8tcsXj+exazlDRPo56PEbFWBK1VnloH6+1SpaLX1MPCtFTmWiaVu5IFhk5Q+bF8znafn59vmrDDyT32GS2ht0Q/ZvDHyHLs/Wch2q3uzSo5Xne/aCxxFsPLGpSxvlxDG0hEldRyvg6dUjoxHUDTVs704FL/AGgix4ov1oF4JCkul8tJKISNC+b8HOccZmZmkqVci8ViQpKVlFer1SS0Qh1OfDc6n0fJta5ioxP5gObQB8VglkntWbCZ1ahtB7OdxivQGcxmXebtd9CIAflvAPDtPAngZzPev6MSA6ZeB9YrmjRPE9Nog1arC1hr3N6vTczjefX8sCGVy+WEHPf19WF8fByHDx/G5ORkEmfMlSvK5TKWlpYwPT2Nc+fO4eLFiwkxfumll/DYY4/hc5/7HO655x488MADSZD8E088gVqthlKphOnpaZw4cQKLi4vJZL/l5eUk3rlYLML7Rnzy4OBgomT7+/sToqtWOIB1hkBIYVuvAIUAVgtVh6YpoY50I22C717/tlE+CuCnAXwKwJWr506gsdVsJ2RPYxbI5r1s99uH0ofaVqjNxdLZttyKHFPJed+Y8T4/P49qtdrkoeJknVqt1jQ0Sw+XeuJYH2JFjfvYc7dLUNPSKynK+j028t1CeN1GzOZ4jYgaWLbd8bo9b+eX2FhZkkwbe8y2pkuvqYfYOdcUTmHJssbx8lgnximBVqyVSqVk/g5XwaAHuFKp4MKFCzh79izOnz+PWq2G3t7eZFIeiTjroiNKOmfH6lB6lYHmPiWkU/me9bfVwfo99DgLFi3/ydJ/7AcdmzXE4ocAXOO9n3fOrQCA9/6kc+7yNiq7Y6LeSDZM6yFK87wAa4C2lrCdtKeTZXSymRJiDqPwfq43PDAwgKGhIfT19WFkZAQHDx7ExMREU6jF2NgY+vr6kpCK2dlZzM/P48KFCzh58iRefPFFfPvb38apU6cwODiIt7zlLThy5AhKpRLOnTuHf/iHf8C5c+dw/fXXY2BgAOfPn0925hsaGkK1WsXy8jIGBwcxODiI2dnZxLN94cIFVCqVRIHrewWQdDQEJ59TJ+ip2MkZWWPYVPh+7bksbWKbwWrlAwBu9t6fc8797uq54wBe16H89zRmVUJejpC0MqTS8mxVrvW+anl6TSfIKDlWbxiAZJctAMlmP9z2ncsnckOf2dnZJqVJT5Il6WzT1pMX8t6FnsE+dxZSnEVixKkdyfG6e8V+15gDBFi/2oXiQrHGcxp7rJNdNe5Xd73jxDw9pm7RUAZik+v1q1eXTh+mKZVKyW61JNSsC/VPtVpFpVLB3NxcEntM4k7PMcm3rj7DXWeVE+ikWzV67Ug0Nw5RLGqYRYjbqFieQ4dfaP6CcqGs2N8PmM1KkOs2rXNuAsD5rAXtlMSUZppHxTYOYP06yCGvsqbhxADvfRJeQOApIWQjGhgYSFarKJfLGB8fx8TERDIhb2xsDOPj48nuPPPz85ifn0elUsHU1BSef/55fOtb38JTTz2FgYEBHD16FAMDA5idncVDDz2E0dFRHDhwAMvLy/jqV7+Kvr4+vP71r0dXVxfOnDmD/v5+FAoFlMtlTE9Po1AoYGhoCBcuXEg8zv39/Zifn4dzjSGjhYUFAGux10oM0rzufGYLzpBFbAmzJUqx0YAs7aKdIdstkG4Ac6zO6v8BObdZ2bOYTZMs5A3IPoyfRhpDeeo9wPo1XxXXIXLsvU921eJqMvQa9/f3J6FVzJMKnffoyhUhBWffk2Iudl4N3XaI70a+Q0xRt8Jtjte9IerxbBXDT9E0ljiHdAEJIq/pmsLqPWaoBH+rZ5gx/zrhVZda9b4Rg8xwCpJu3SVPnVyMee7q6sLCwgKq1WoSo7y4uJgs90aSXq1Wk+egZ5UGtl3BIuSc0/cYWrGGzxwzlPU7UWfbb6jfR3/bPNLawl7HbNYQi/8bwN2uMcsQzrnDAP4tGjue7HqJeSVDHuFQp28tKeYZ8jbrpD0liRqLq7HLy8vLKJVKTUu1jY+P4+DBg8lSbgcOHMDBgweT2F+ur1ipVHDq1Ck8/fTTeOihh/DNb34T/f39OHr0KN761rfiR37kR/DhD38YH/3oR/E93/M9yXBQrVbDSy+9hJmZGXjvUalUcPHiRQBAf39/8jyMt+rq6kqWk6P3XS1zzsANKexQhxl6zyEgpynXmKLNKrtg+Oc+AP/aNWIP4RqV/xiAv+hQ/nsaszFFmjWtSqgj38iwIrB+qFN/s+3HvLg6WjQyMtK0Ag2V48DAAIaHhzEwMJAofhqgDLWwq8bY57EjMVneV6t3m0UZMn3ovWW5t1WaHQ6xyPEakVB7B+LD8ooXS/ZsLD//Yt5jjlACaxP1WJYuzWaXg6PXWfco4Ago9RudRsyDOnB0dBRDQ0NJyBPXNe7q6kpGgkg8qTtp6NqyrdNIjWzWldfsqhWaTvWrGhKhd6vxzWkOqdA35LnNYHYbZdOYzUqQ/wUarulvARgB8CyAV9GI8djVEvNyKPjUg8JrIWuMDYMxUuoZsg2YFq4OWWiDZF7Ly8sYGhpKyPHAwADGx8cxNjaWTNg7ePAghoaG4L1PrNNKpYKTJ0/iW9/6Fr70pS/hG9/4RuJ97u/vx/DwMF7/+tfjzW9+M37gB34Ad9xxB97znvfg8ssvR6FQwLlz53Dp0qVk+bfZ2dlk4mCpVEq8VwMDAwmg+/v7US6Xmzb/ICh1Jq0lxXpeh6U0rUpseC70XULfM4vQOLF/2yi/jMYe8dMAhtGwaq8C8KEO5b9nMduOoRO7z/6OXQPCE/7S6hAig1ax6+x8tvelpaXEGOYQ7NLSEubn53H8+HE899xzePXVVxMsUqGwj9GhWutNsvUI1bXV+VbvvR1i3cl7gThetxGzOV5TJOTgAJo3wrGhjfwfGyWk3uS9vEd/a7iDklldKYLeY+ZNL66O9HB5uJWVlcRzzHu6u7tRLBYxPDycGLXlchnd3d2oVqs4f/48pqamcOnSpWSuEY1eOpBC5etIKtAcewykh0Lpe1bjxM5/COFb+49QvjEDux39yufZ6zo26056dQC/BOCXXGPY55zPOpa9CyWmEO1vS+aA5kaiDZDAYt4ao0tlqTvmEYyFQiEhnvQsjY+PJytWjI2NYXh4GN3d3ahUKqjX66jVapiamsKTTz6JBx98EGfPnsUb3/hGHD58GOPj4+jv70e1WsXjjz+Orq4uXHXVVSgWi3jjG9+I48eP48KFCzhz5gxOnTqVrIZRqVQwPz+fhHTMzs6iu7s7qVe9Xk86jkuXLiUg5zvR90PRyRBU8DrszPQhUrJRhZpGom0b2Mn4KO/9DIAfcs4dRAO0r3jvT7e4rZ389wVmsxBV/m6XWLdqb+wDQvmHflu8U3QSbqlUQldXVxLr39XVheHhYVx55ZXo6+vD0tISzp8/nxiuOoN+ZWWlaca7TmANjdrY36E0ae8mK45i76+TkuN1d0uW/jqkY0MeTF0rH1ib1Kq/1TMMrIVTKHGmA8bu5Ko6mKEW6qXlTrR0hHFUZ3BwMPFY0+NMx9eFCxcS/UZ8cmlGJexcuUmXbuM1xbM6lIA1pxs9z3xv1ntv37s6qULfJ/SN9FpaH/Ba0LGZ10F2zg0DuB6NGA5VCv9vOwXulISAqR5hSoj88nxIIduZouoljgW8A0iIIyfm0LM0NjaWbBAyNDSE4eFhFAoF1Go11Go1LC8vY3p6Gi+88AIeeeQRHD9+HG9605twyy234IYbbsDY2Bimp6dx5swZPPPMM3j44YdRKpXwhje8IbGSuTrFiy++iEOHDmFsbAxdXV2Ym5tL6kILu1gsJoSZExbUqtcYKTvUbN+x9XKFSHHMa2zP6e8QyLOAdyfjo5xzX/fe3+y9PwPgjJz/mvf+rR0qY89i1mItJjFi226nHlPYaYQzlKcdamY749BrT08P5ufnMTc3h9HRUYyPj+N1r3sdrrzySoyPN9bCn5qawtNPP41vfetbyQhTsVjEysoKKpVKy9hO4i/teduRGKHuJCnO8bq38QrEQypCJClEltX7S8+zLnNGb6wly0oySS6tx9lOGmdb0i2lgcY6/5wXwCVNdb8Bklgu+TY2NoZDhw5hamoK586dQ61WawphmJ+fB7C2MyBJI49JmHUzED4fDQWNS1Z+ooa4chg7wmT7r1AohuJbQzFsqAe/Vxbs7wfMZl0H+QMAPomGi7oilzw6N4t320UbTuiDq1Wns0OBtSXcKAp0DanQtY51FQd6nAcGBpKJOUNDQxgfH09CLkiUvfeJx2l+fh4vv/wynnnmGUxNTeGKK67A5ORkEndcLpfx/PPPY3Z2FjfffDN6enrw1a9+Fb/5m7+J22+/HcPDwwkQX3rpJVx33XWYn59Hb29vEp9MC5pbSff39yedFuOpgLW1XNlxhaxf21la0c7RDjnpfRbsoTyyApf57fAM22vsCdeofEfwtBcxm/btYoZrWvosJDs0jBkqJ+RR0fbOtsQ+QQ1hTn7t6+tDrVbDzMwMJicncfXVV2NiYiKJR7766qsxPDyMM2fOoLu7G9PT03jyyScTzzM9VlSiaoimvUPFYuz9peEry/ttRzZyb47X3SvWwRTDieoCJb88r4QtlGfIS0yyqzvSqseZ4RWsg93RVUkvd7FkSESpVEr2HCiVSslkNt3xkqEX9DKfPn062SSEji3rNdayKTrXQL3GfP7Qu9Y8tB+KpdfvYfO1afQbpnmh02Q/YDarB/m3APyw9/4LWTPerUKloh7NkGco5JXUBsNF/YH1k2JUGfE8rVftOAqFQjKTnTvajY6OYmBgAKOjo4n3uFKpJDNhX3nlFTzzzDN49NFHsbS0hOHhYQwPD8N7n2wJfenSJZw+fRqFQgHXXHMNbrzxRrzzne9Ef38/JicnUavVcOnSJZw5cwYzMzNYWFhIiHO9Xk+WtalUKujp6Ulm7HJ3PAJfrWDOCGZnZicj2mFnC0QLbKD15J3Yt8pCojjsvd3inPvM6s+C/KZcjcbap52QfYPZmGQ1hloZVml5tvIYa7sOxR0DSAxO7xvrHo+NjeHIkSPJ8ouLi4t44YUXsLCwgMsuuwzONYaBOYGPuNNhWlWo+ixqzCtZaffdbZYAd1pyvO5tCY0aWodGyKFCYklR7zFXkaC3l/np/BjdBERXgQHWwjC4xTNXouDvoaGhxFnF0R+SUjVQOTmQaRgeRWcZ10HWiYb6TkI8RCcQhgwNJdJWrJHSyoHULgHOiu/9gNmsBLkHwP1ZM90ucc69C8An0FjO49Pe+49H0iW/qUSsNRWzqmxaO4GM/22ohTZ09UJro6cHmeAaGRnByMgIBgcHE3ACSILbL1y4gGeeeQZf/epXUa/XceONN+Kqq65Kwiruu6+xEc3g4CAWFxfx8MMP4+tf/zoGBwdx1VVX4Tu+4zswPj6O4eFhTE9P4/jx48m2mBwO4c4/uo89FzinNU5PGDsvWsuh5WhC38G++9j34nvT8zHvl6bJoth30Lp9PvLbA3gIjdnsnZBdh9mseO1AOanns3pLreEcwjeVleavRjG3oiU5LhQKyQo1nFhUKpVw/vx53Hfffejt7cXRo0eTCUC6jirzZh+mZYaM/KyKb6Me3dC5dslxjtdEdh1egfZ0rB2xiXkfY8amDdNTr6seM61uFBIKr9DJebxH437psCLB5cTZnp4eDA4OJqtIcaOs/v7+prlF3Dqa84K4stTc3FzT6DHQPAGvXq8DWJtsGPIaxybixrz1oXcZC21RaYW9kP61HCrt3r2O2awE+bcB/Jpz7mPe+x31mVOcc91oDEm9E43dUR5xzt3rvX/KpEvLI6hs+PFDHzcUY6i/W1mIPLbrKXLlCe7WMzw8jHK5jGq1mnQEFy5cwLe//W1cunQJ3/md34nbbrsNb3jDG1Cv13HmzBk8//zz+MIXvoCbb74Z73nPe3D48GGcOHECMzMzGBoawnXXXYdCoYDp6WkcPHgQY2NjmJ2dbZo1zx3yaElz4gGtZ9ZbO50Q4bAGgp63RNe+RzthwUrIwAmlSZOdAq/3/jcAwDn3sPf+i1tY1K7CbFa8mnsynUs7n6Fe6zxaIVIcKic03EkjkR5cLhXFLWWPHj2Kyy+/HN3d3bh48SLGxsZw66234siRIzh58iS+8pWv4JFHHkmM0uHh4WS1GXq4qtVq06hViJhYSSPUm5V284qR61b35HjdXmkHszGskqjaNhLSAfrbEmNgLY5XY3gBREl06DfzIhHmqjCMPQYaS50y1JHhFpwTpI4wAMmGXbVaLeES3LKadQbWb0Gvz8Pl3pgu9H70HtsHaciGkm0NxVJ9rOXoO1feo2XEcPdawGxWgvxLAA4B+BXnXNPC5d77K8O3bLncBuA57/0LAOCcuwfADwJYR5CtArSiDSjrcGRoaNZOnlFA2jzUG8vJb0NDQ007ahWLxWRpqGKxiFqthqWlJdx888245pprcPvtt+O6667DuXPncPbsWdxyyy245pprcPfddycbgZTLZTz44IM4fvw4ZmdnMT4+junpaXjvk9UuZmZmUKvVkkXNWXeCkWRZj4Hm5XZC79Nes51gCKRpEzo0j80qd3ZkOyXe+y86564HcBNWJ+XItTs7UMRuw2xLvHaKsKlshjjbY9umiQcqJ2Kfipc75PX29mJ6ehqDg4O4ejXuuFKp4Nlnn8X111+Pm266Cddeey3q9TomJiZQrVbx3HPPNW00ACDxcCkRJ2Ziw627UUKEOos3KsfrtksmHbt6LfmfxYiN6Qf1PDMvHluCSxzYmOOenp6mCW66koS9n79LpRJKpRIAYGRkBJOTk+jr60s8wQwt1ImEWk61Wk1CJQcGBpJR1aWlpWSEVgm7JazqGKJYj3rontj7tbyjlaNwI/JawGxWgvzjbdZtO+RyAK/I8QkAb7OJaM2xcelEuTTvY8y61fs0fCKU1v5WS5qg5pIwBFehUGja1pKg5AYDR44cSdY6npycxKFDh9Dd3Z14iW+66SZ0d3fjqaeewoEDB/D444/j7/7u7/DSSy/h2LFjmJycRLlcxrlz55Ihorm5uWR3Lu4Lr7FWGmKhHY210EPvUSUrSNWKzjJMzHca+w4h2cHhHwCAc+5fAPgwgMexflJOJxTubsNsJrwCzWFPIexttEPfqIS8xkpQVYEDSLaP5RKOPF8ulzE6OoqDBw9idnYWtVot2bq9WCwmRjPPcYTn9OnTSZ+hk5TSDH7W0Z7fCiPE4i5rGe18yxyvOyItMet9Y5fHer2ejDyWSqXgPJ+QWOeH/qme1OvEWmgyuD1vPc4aHqBlcA8BAMm8HoYS6gRZYM25RQLc29ubPPf4+HiytjmFI7FqSNul7OxzA80e4KwhEypKpNMcf2nXNU27+NsPmM26DvKDbddul4gOY9iJYpSYV5JDFio64SyNDKs3mXmF6qVeJ5JQ/qZC5I49XKR8dHQU8/PzuHTpUjIR4ezZs3j++eexvLyMG264AYuLi3jwwQfx2GOP4dZbb8V3fdd34fHHH8ejjz6KW2+9tSkWSodqbaiD/hHg1rpvV2IKlO97K5S4lZ2aQCDyiwBu895/cysy38uYjY1AbEaoMG34hC03a92sciOWiRUqTY4SFYvFZKJQuVyGcw7j4+M4deoUXnnllWRb9/vvvx9PPPEEvvu7vxuDg4PJJiL0IhOjodGb7TAcLKFpxyjdjOR43Z3inEOxWEw8tSHdaNfqbeX5DDmW9Ld6mdWZAzTHGevoDu9Xcqz16e3tRbFYhHMuGcWlk4qjp6E6cQMgAEms8uzsbLKShRJ1EmVrCIT0aKhvamUQhwx5m2YjhDXEg7Lo/v2A2XbWQf5PAHw3gHEAyZvx3n94o4VvUk4CuEKOj6yei0oa8Uobwm8V55rWaEPnSKDVUgzF6SopLZfLmJychPc+2UzggQcewMTEBJaXlzE1NYWHHnoIBw4cwJvf/GZcccUVOHHiBG677Ta87W1vw8WLF/Hiiy/iPe95D44ePYpjx47h2LFjyQxetcC13BBBVmJPaWeI1xoNGwFRFo9Emuy0dQtgAcC3t7KAXYbZlnjdLMFK+/YxY7ZVfvyvHhxLEjUNscswJACJd2l2dhYzMzOoVCpwzuHgwYN46aWX8JWvfAWvvvoqjh07hvvvvx+33347brjhBszMzKC7uxu1Wi3JT+MVgbDy0voAG1OKG5F2Ddt2vneO1x2RTDq2VUx5zAFDydpn6wimHc1UEsxj/U2iqmXrfd77JiLM41D+OhK8tLSU7E9AvT4/P4/Z2VkAaLrflpvW/u0zhK7Z96jvWq+p1zw06h0rN82B8FrRsVnXQf4ZAL+DxizbdwP4AoDvB/Dnmyl8k/IIgGtdY+/6kwDeB+DHYomtV6qVMk3zcqrY4aHYNQ185zHDGggyrnXMWGOmpedpYmICpVIJZ8+exdzcHP70T/8Ui4uLmJycxNTUFLz3GB0dxS233ILBwUHU63WcOnUKX//613Hx4kXceuutePvb3w6gQUonJiaSoSBdx1W9YQpkJcccrkqTVlZx7JoCOzRZL40cZylL884qrsVsbufcLwP4pwCWAJwF8FPe+5dSsvxfAPwfzrmPAJgyddt0r7ILMdsWXrdCsrSJVkrL/g55VNVbXa1WkzkEp06dwvHjx5PhXO5M+eyzz+KVV17B6dOncfPNN+NNb3oTBgYGcObMGZw9exbOOQwMDDQ9g3qEsnhzdrvkeN11eAU2qGOVgIV0acibzDZs9Wlo5FVXjQnlE4rr1bBIG0fMyemc77O4uIhKpZJ4kIll3fyK+rtarSZrHS8sLOD8+fM4d+4cpqenk1UvQt5n+06s/stKoGPX+Mwa8xzqv1qFwITytvWNSTuY3QK8Ah3AbFa3368AeJf3/ocALKz+/2EAixnv77h475cAfBDAFwE8DeBz3vuW69vFiBhFLciYxLzMIWUZKp+kl8Cq1+uYn5/HzMwMqtUqZmdnk7hgAImFOjo6ihtvvDEB58LCAn7/938fn/3sZ/HEE08AQLJHPGOvL168iGPHjuHo0aN4VC6aRQAAIABJREFU97vfjaNHj6Kvrw8LCwsYHR3FxMQE6vV6EnusOxXRE8Zn0YkNMcu2laQp8xCY0jqSWP5ZhOC1f5E8OZv73QBuAPB+59wNJtnXAbzVe/9mAH8C4F+1qMJdAP4ZGnF9i6t/S+gcpnYVZjeC160OtcliaFkcq6JRr5Tingp8eXkZc3NzmJmZgfeN3beOHTuGp59+GsePH8elS5eSmOP5+XlMTk7iqquuQk9PD06fPo3jx4/j1VdfTdZGZ9iVDhunPUeWZ92MbEcolJYVwmskLjPHawckK2bbcYSotBp1jLVx1SGaxhJjplG9xRWZWEeOnlarVVSr1WRezuzsLKanp7GwsJA4svinDq35+fmEJM/OzuLcuXOYnZ1Fd3d3sgFYmgc4xBeyhqNkkdhKXLHr7erbNMmqY7cIr0AHMJs1xOKg9/5vV3+vOOe6vPdfcM79cdaCtkK89/cBuG+D9wbDKlJIUvDYkuWQogxNVlhcXES1WsXc3BzK5TKmp6dx/vz5JMj/3Llz6O/vR1dXV2Ld9vb24qabbsLCwgKeeeYZDA4O4oUXXsCzzz6Lp59+GgcOHEjyHxoawvnz51Eul3HFFVfgLW95C/r7+zEzM4MnnngC586dw5EjR/Dyyy9jenq6qa5dXV3J8jc6qVFDInSTgnbeV9b09rx+L3vdEpgs5bXpkcqyAsP/J+kfRutJN0ezFr5B2XWYbRevoW/YKaIX8qhkMb7s8mr0Kumkm6WlpSS/SqUxN4QTcaenp3Hs2LFk8l65XMbi4mKyKcj09DRmZ2fx6quv4hvf+Aacczhw4AB6enpQqVTWEeS0YdAskuW5t0NyvO4+vAIb07ExJ0i7hhzxZvML6dP/v713D7Mtq+pDf+Oc01Xn/exjn37ZPOzuCHg/g20D0Ru8giHxQYcoF+T6JvcagZDk8/uipBEJyr1AUDSKwauiEYPY6FVbQyIQwr1GhRa/GASaR78fdJ/uc/q86tSu55n3j7V/q3571JhrrV21q2rvOvP3ffXVXmvNNddcc80xx2+MOeac3jOrIyz0EvNeTqLVzbsWFxdx8eJFTE1NYdeuXTh//jyWl5fR6/Wwb9++muwq2abXeGlpqSbNS0tLdfpDhw7h4sWLq5al81zBzyfQkajIS66gkd4WNpGreyXL0Qha7pldMITMboS8AiOQ2a4E+REze1pK6QEAXwRwm5mdArCw3gJsJthQchavNsrc/dFmGDpZQIc2/AYCmvfy8nJNkKempuqd7Y4dO4aDBw/isccew549e3D48GEAQK/Xw86dO3H06FHceuutuPLKK/HAAw/gyJEjuPbaa3Hy5Ek8+uijuOOOO/CpT32qXqaGS059+tOfxuOPP45HHnkE999/P44cOYKFhQU89NBDeOYzn1mvlsFOgJMRo4lNCwsLA8I+NTUFIG/5RmEpzDO3iDwFPyf8OSH1nUoOKQ21BE3nFRj6eDWqIdKm57cND60XEyez40DUFDoqpOsb8zw9ImyjXDOc97JtM0Rqx44d9dbxZ8+erXegPHPmTG28njx5EhcuXMADDzyAlBKuueaaVdvNcxIgyzJM/D+w0o+ttU6Yx3rJ+bDPLfI6nlD9qUTVLz/oZcnPu2GaKG8N6fM6gvpE5ZM6jM/ikmxmhqmpqdobrB5l7hzL/LkE6v79++slWLmBFjA4Qc/M6g1G9u/fX8ssl1TdvXt3XWbPN6jnWL5cfXiCrWjrA9RgyMUpe3jHk/KXEevYkctr//nrltmuBPkdAL4awAMA3oLKxT0F4PXrLcBmgx8217mrUiQiwfREMLe1Mi1gXUmD+S0sLODcuXPYu3cvlpeX8fjjj+Pw4cO4dOlSTUKXl5frZXO4VMyRI0fwrGc9CydOnMDx48dx33334dChQzh+/DieeOIJPPbYY/jc5z5XE+R7770XX/jCF7C0tIT9+/fjGc94BmZmZnDXXXcBAJ797Gfj8OHD9RbXnBCk1rV2aroiCK1wv7h4m+Xp61k7zFxnmRPmtRArJTB33XVXXRcAvm7ozAbL+D0AbgHwwsz1t3Qo2ygm5Wwbme2CnGG7Fk9xdG/UHwAYaPeesPKYHiYqY914p9fr4cKFC9izZw/Onj0LM8Ps7Cz27t2LEydO4MCBA9i5c2e9S9fS0hJ2795dz4gHsMoY18mEVLocFdpoDOuRXqs3alQyW+R1Y6D6MRr986Sav/3IiHeO0CMc/ebzSHwpC0qe1cBcXFysl2Pk9QsXLtQyy7w5uXb//v31km+MTeZ91I8HDx6s3/ns2bP1HISpqalafoHBHTGV+OrGHjmvOH9HPKVNB0ffyX8br8v9d2tyIvq0o9axbfLaTzMyme26zNtvyO//ZGZHAEyllGa63L+ViKwgQq0qvwSc95T4YREOpXI7STYqJXokxYwd5OYBfB6FiHu902tsZjh48CAWFhawtLSEEydOrCLJ09PTuOqqq7Bnzx4cP34cjz76KE6fPo0zZ87g1KlTOHnyJE6ePImnnnoK9913H+6++24AwHOe8xwsLS3hwQcfxFVXXYVXvOIVuOGGG9Dr9XDdddfh+PHjtfCxE5mfn6/fmZ0M35OdEYeVWUd+El/ud67Oo1U92r5vl/N6nc+45ZZbcMsttwAAbr/99r8KkneazW1mLwZwO4AXppTmM4++PnN+pJhEmW0auemCpm/epEyi86qkeF7DKXSbWACrSDFHUygjuh67DrlyOJYThnTTgl27dtU78M3MzNSjTVdccUUdF0mirZ4sLQ/RtIZqV4XXBV0I73oNWqBVZou8bgFUn/rzXof6tqc6lOcJzY9tnr81jY7y8De9mJQtLrM2NTVVX1Oivbi4iPPnz9c7V5IEz8zM4MyZM5iamqo3DqEDCqicXQsLC7X8MyaZyzzq5Pupqam6vOooot7kO2gfwj5FHW6eowCrJzH6uiSU6OYcUv5e7zUeoY4dpbwCI5TZLEE2syaf/RKAJavipMZiW8w2+MbihVQ/tl8eST0xGkKxsLBQp9HGToVIgskhnrm5udrynJqaqoXo/PnzACohu//++7Fz506cOHECs7Oz9USAa6+9Fnv37q09uiSwBw4cwPT0NI4fP46ZmRk89dRT9ex3WrCc0Hf27Fk89dRTOH/+PJ7//OfjlltuwQ033IDFxUUcPXoUN954Iw4ePIhz587VCrvX69XhHQAGvFB8z6mpKSwsLAzUmw6z5YQ5Gk7z53JLWOU63Oh7RvAKtwWts7nN7G8D+GVUE22eaHjuD3Z96LDYTjLrCapCO/ZhDae1PFPbm3qLlZxqOBJDLTRWOLcJD3+rMgSA2dlZ9Hq9Oj/KGddTptHK0ZuIdET10DRStt76Ww+KvK7CRMlrW5uL+mr1jvqVHag/1fNLWWNIn7Z7GqI6ysl0CwsLA6MoCwsLtaGp+tSTXa6BTF04NzdXy6qOBEX6iA6jffv21ZN1Z2Zm6vtp+Pr60XjkXCgnr5GTRDqVhFr1Z5RGPf3Rt2M9+2/dBUPI7Mjktf/ckclskwd5CUBTTVj/erz7xhhBhUjPRb8JCqxat6rsKFw+tIKNVYkhf9PzQ8uTG3XMzMxg165dmJ6exhNPPFHHTx07dgxzc3OYnZ3FzMwMrrvuOuzfv78uhypmxj0dO3YM119/PS5evDgww3Z2dhazs7NYXl7G/v37ceLECRw5cqQOu7j++uvrbW4XFxdrjzUJNodxOVGIw8ZAJVyLi4vYvXt3bRnrNpyskyhOynesUbwynzFK71QXEi1pl8yMs7l3AnhvSumz/aGcT6WU7gTwb1BtZ/nB/vs8lFJ6aacHjA7bRmY92ryc0bWI2EZ5+jT6W+VeR5oo+2zffukplU1No0OsukYqz1PpK3EgMWbcca/Xq+OXKXtMq0a9/l6L7IzKqzwKFHmdHHjjy3+3yHvpz3vvqnqHNVZXQ/x86J96Y+fn52uP8OLiIlJKNUkmIQYGNxabm5ur5VPJsjdsVZYVO3bswPz8PGZmZnD69Om6rJx/xDAOlome4WgUyOtR73GP5D6qe3/ek1jNPyLXw6CrzI6zvDYR5I2etbspyClOH9uklhgbHhUiGwuD+XXIQy0/r7QoTPQoXXHFFZibm6vJMreynJ+fR6/Xq/N59NFqdGF5eRmHDx+uSfK5c+dw1VVX4dixYzXJ9qtPcGb8nj17cPTo0ZqwktB6q/PAgQO4+uqrcezYsZoQc+vNs2fP4ty5c3UdMQ5yampqYMIQyYLWNeuM9achGGpIRJ4Hntf6zXmdo3u9NyICy9wVKZjNnSSOKaX04s6ZbRy2hcwqmojxWgicGr1RG1GPTZOiBlaUEpUwV35RL5YqPfYHHNZVxeRHQFQp07PFIVr2M1TAOuzs5UzL16VOtQ40fVNddslzvSjyOr5QmfHyFRFeYLCfZvvy3kbVufqb5JchhySsPK871k1PTyOlVBNgxhvTIGX4I1eVUhJMeafMUW+rrqV8sm2qgUt9yiVbdTKg8gB1oinB1eVWve7UOuRvQvOLyLLnPf7eUcnxMDI7rvKaJcipPwPQzP4WqrXpPp1SumezCjZKdJm56ZVgpBz1Xh3OSanadWd+fr4WMMYjUSFyMgDjdUmQKby9Xq/2Fi0vL+Ohhx7C0tISrrnmGhw4cKAOtThz5gyOHTuGK6+8EocPH8aePXsGNvRQjxXLy3w5+Y7vtHfvXhw9ehQHDx4EAJw/fx6Li4vYu3cvlpaWcOHCBVy4cGHAEiYR7vV69ftRYTNvJRA6q58dhCexEcnl+dw3avMKtsFbztsBky6z+v3X20nnFHWbR8UTPi/7SpKpALS82mcwTY4oR8TA77yVUqqXpGI6GuFcv5zDvPSM5Wb858hs9LspjdZX7nqufiN08XAXeR1vRDJLHaokTuVGZZNQnUH9wvAJ5qmhfer0oZ7l8+bn52Fm9TJvc3NzAFY8syov1MsajqE6lWRct4pWkqx9A/sElgdYWYWDI7sAao82y6UTDnUCoBrrzEv7He9V98RZy+a/j34//z19Gr3vcpHZxkl6ZvYDAH4FwBkAh8zse1JKH9yMgo0K3lvsP7x+bFVyfgca9Yj6MAIfL0VvMQP9GU6xc+dOTE1NodfrYX5+vt5hi0NAFBAO8Tz88MPo9Xo4ceIEDh06VG/wce7cOZw6dQrHjh2rCS535mIeLLMKsg4PTU1N1cvWkPzOz8/Xkw7PnDmDRx99tK47bl5CQ4Dru3J4SGMhvQdXjQ5ulct6zFnGeq/+9gpcCfcw2A7CG2E7yCwQE6o2o0iv++O2fCLvF8+rJ5b3+/5C25+2SW2vJMpKgIHV66AyTwADCpLGt/dq6dCznzzYtF55m7HQ9bxP05VkD4Mir+MNtvkc0dIJZpHjw8/l0ZEWkks6ltRTDKCe/7Jjx476N0lxr9fD7t27a69xr9ervcgkvXyGjnZS7tRg1XfUESL/rl6PUR65IdClS5dqXsBRIepuyqqSbiXIajjzWEMdoz5MR5ByjsJcn9dkSF/2BBnAjwH4rpTSH5rZy1Bt3TeRwqu/vaeKDcgPcXgCpgKu8UPqRfahFRQ+WpO7d++uie4VV1xRbzd78eJFzM/P1w2YXtuTJ0/i4sWLuPLKK3H06FHs27cPc3NzNVF+4okncPDgQRw6dAgHDhzAgQMHsG/fvtpbTaVKAdSJQ7Ozs7hw4UJtwTLumCtfzMzMwMzqyX/0mtPTzPedm5vDoUOHBqxvpgVWk18V+BzJILyx4j3Pmh/PdW0Tmy28ZvbNXdKllD62jsdsC5ltQo785shwl3xU1qO26r3Q2hcAq7d8Vi9ZTsHqtVz51dAlSdD+hrJGzxmPVW70Wbk2vxZSPIysrfVezaPI6/gjcnLwvJcvDdGjw4nOJ5UzGoULCwt1Gk60U1LMFaLm5uZqUrywsICUUr2jHb3GdGiRJJN0qzdZHT7eoUYol/BGMt+FDrC5uTmklGpyzF10d+3aVa+TzDqhk0wNBO+B9+Ui5wBWHFfR96H3meVs8iRrGnU2RsZQdN+ky2wbQb4mpcS94P8AlaU7cfDkSQVQz3uFqOSXlppacd66pdXHxstVLOg55gQ3hlfMzs4O7KhFIQJQe3IXFxdx9uzZer1Ueoz37NmDXq+HmZkZnD17Fnv27MHevXvrZaP27duHvXv3Yvfu3fXSNJGnyqxaDWP37t2YnZ3F2bNn8eCDD+LcuXM1OX7ssccwMzODnTt34vz58/UWuUBlvVO4aQmz3JxFrPFj2pGwU9QO0luxOY+D/vad8rgKL4Bfc8fXAkgATgM4hmpSziMAnrGOZ0y0zEaeCe/hWCv8qEMXL3LkKfYeHM1f74/ItFdG2g6j8ih51j+SX65wwbT0bLGc9C75YVmtD//+vizDktkmRHLc1TNd5HW8oQROw5C0b/cOKr0XWO1p1hAijfMn6eQILGN6lRhOT08DqEItlBTTcUXnEYCBERkantoHKDHU8AtvrDMty0r5JCegHiY5pu7fuXPnQEgIgAG51sm9ykOUn/C5Wm5gtUOhTX8Cg2FfuTRd2sOky2wbQa57xpRSsuZlacYWSniBeBkyP/Tgg+YpNGwgVDgUKFqCtAwZ1qBbWk5PT9dLxXA26+zsbB1HPD09jYWFhdrSpIWc0kpg//nz53HkyBEcOnQI+/fvr73RFy9exPT0dE2G6anmH73V/ONajrt3767Xfjx79ixOnjxZdzZzc3N46KGH8OSTT2LHjmpTg1OnTtVxyrOzs7VXnMNNkVHhPfB+yEd/63CReph5zivriPSMK0FOKdWTcszsX6ES2J9IKc2a2V5UGwScXudjJlpm9bs1degRmdX0TRM1PRH0v32+eq2L59iTzIhsexLtywdgFTlWkOxqvKJ6lihvPgZUPUG55/t66VJ3vuxNWAvhLvI63vD9dDQKm0sDrHxf7y2lwcfJbCTFQDVpnMYiRy85CqqkmPdpKCQnrevIKkkt9bqSYJaRzrDovBJ/juKQ8JL0AoNknJv+cM4SR37p+aYjSmOMVaZJ9rV/0jpVw1jPE55ot+lY/aZt2A4y20aQ95nZQ3J8yB0jpfSVXR+2VYgEFsCqhqEEzi+8z4bExsaGp8Kkm4KQJHO9YwoyiSaXbVpcXMTs7Gx9PD09XW/OoSRZg/zn5ubq7WkZUsH1kClgJMEkwvzNZ9CSTSnVM211JY35+Xk8/vjjOHnyZF13Tz75JM6fP19P4mOYCMNB6PX2G6ioN8t734HB4Smv0L1y12+q0E7Vp42gEz+2CP8ClfdoEQD6AvwGAF8G8H+tI99tIbMRunbMQLch3iYizN+aV2R8+fQ5It3FA+OJcfQ++p99FeVJDU0qaTVIvTzlZEufOYznKKrbXDp95y55F3kdb3gdq+fZFj35BVZ7nXVuio6S0OijR5nxur1eD3v27AGAAccSjy9dujQwqsljJd8c4VX5VYKrcqYTYAkv/8DKChS8ruSbRF25Aufx6MRDEnfut0DO4fciILyXWb+Lchym8WRav5eH9nv+3hy2g8y2EeRO8RzjjEgReC+OHypVQdG4Pr8oPxssJwVwoh2Fl4SZy6Ix3IFeYnp2zWxAuKempurYXgo0h5lYrl6vh7m5uTrcgSSZE+/oQWZ+JNoag8wy8v1Zll6vh9OnT+PUqVN1PNSpU6fqNZrNrJ6JS4EGMLDDF9dETikNhFHQIr506VK9oxDrXH+rV5DC6TuniASNs3XrcBHArQD+TM59PYDZdeY78TKb8zrptSYDyHtum56RuzfyHPvwCu8FZn/hiTLz8d6ZiGzrs3Pljp6hnmMAA6EV6kk2swFvVO5ZXbzKXY0Vfbe1osjr+CIypNTYox7Q9EyjsbRKqNTxRCJLfUGHE7BCnrkiFPUo9YwekyRTl1OfcMda3RTEy5aufexl2Ru0asRS9qhnzaxevQJA7cmmjk5pcOMSepv5PI7I6ruQn+jKWkpMVW687HvDW/WwnieGNZgnXWYbCXJK6f9dW7nGB17RUcH4EApPlpmGvxkvRKEmYWNj1K0saR1y0h2FjouVe5JMgYxIMpdyiuKIKdzM69y5czVB1xAK3kch18kI9DbzXWZnZ3H69Ol6tu/y8jLOnDmDJ598EmZVvPLFixfR6/Vw4MABAKg94qwbjQXTWfZRfXvBVBISeaP8vW2er6Z2scXC+xMA/rOZ/RGAh1Ftj/ntAF67nky3g8xGaCPLUZvxiIh3zouseURtL2fQeS8avWP6XCXw+p/P1PLpNQ25YHn4PMpWSmmAHPtyRx485ulH2dqMkK5K0v/ueq/Pp8jreCLqt7WfV48msPItvfHpfyuZIxEmSeSIJQkzgNoRw5FQhlfMzs7WoYbMS3U234HhkH6VDGBlfXFPhtVgZT7e8FUHlDqn6BlWcqxlZ1n5bkqW9RrzY3nUiZebd5BzQGh5ma9Po9+pCdtBZts8yNsCVAh+qMHHuJLIaVxOjjDrYv0+FpnWqJJijYUiSaaXePfu3fUwz/z8fC00FGDOUlfBpUWsoQm6IxCvqVXMEAvmzf98H26HCVQrWiwsLODcuXM18eYSdTMzM9i3b1/tbWbZNY6K3mkOd5Hks+PzIRXsRHVWczQEzHhwvVcVric1TW1iK4U3pfQ+M/srAN8J4BoAnwfw0ymlz21ZobYY+s18Jz4sofJoItg5Yt1GmpX8KvH1CtK/21rehXLjoX0AvUvACjnWZRW95zuKE41krsnL7L9Z03n/uynv6FlFXscXnnipbPC7qR5mP+6JsLZPjfWlM4ikWNcXpneWepZze+gcIvHkLrYABmKNdYk3XiMZVa+xQrlEzoPuY5h5n06s1b0RSJg1bFG94Xrdr5Dlwy5Y175utcx6v+9n/bf0owBRnURtYtJldtsTZI1J5UfXSS3AoPfSE2G1gj1B1mWcSJg5SQ9YUVJKkmn98hiohoHo5SXRJLnUAH8O1VCYSG6jCQWqwHkfgHr2L/Nj/BOJ9Z49ezA9PY2zZ8/WG4VwpY2LFy/iwoUL9aRCbhai21LzPRhuQiHlt6AwsiPTelLjRZW69xCqIOt31DzasNXC2y/D58zs8wCuSik9tqWFGSMMMzKQ8yK3eZR9upxnpYtn2Z+LiHJTm2wiiblrfI4qL+3bSEKUrGj8YWQYNBHiSHluJoq8ji/YniKD0Yf2qEODbUhDhHT94ZTSwCZU1GFc6o1eZN0IJKVUhzhevHhxIDSS2zsz3BAYXFZNPcremNTwRJ6LSLBeUyLK99XRZz6Lo8TAyupV5AAk7jz2nmUaEqw3jZ32MqMOQX4vL8tqJDfJ2+WiY8d6xqyZvdnMHjWzv+7/fatce4OZ3WNmXzCzlzTkkQ1GJzToXBuWb0zAylAGrT4lcpyEpusokuDqrNRdu3bVWzVrjLJuh0mSOTs7W9+rccK6tiLjkfnH81yY/MKFC/XmIo899hgefPBB3H333fj85z+Pe++9F0899VRd9vn5eTzxxBO49957cebMGezduxc7duzAhQsXcPbsWezdu7cuvy7x1uv1as82Pd66NSg96H6intar915F3yXnVdY0wwiv/9ssmNlhM3s/gDkA9/TPvdTMfnrTCjFijEpeu/welqBF93jFkCOJnjhHyof3qKclIss+X+9h8uWJ0qoM6A57Ol9CzwGrZUSVP/Nq+x3VaVTu6Lv5us7dn0NOXjdLZou8NuazyjsZtYOIsEW/NV5XnTu8xuOUVlanYLsnCea9s7Oz6PV6dZtbWFjA7OxsPVILYECXzs3N1d5ZbXOcOE/9SsJKB5OGZzB8QvWxxguTE7D8DJsg+eU5HVlliCd1NFft0PphWta99wz7JeByXKfJaB6m790OOnYoD7JVS9BstvX8rpTSO105ngXglQCejcp1/lEzuymlFE6ZVOLERhURZO851vhZWrUai8S8aH2yofvZtzpEkvMcc7k1nuPEA1rKtJZ1SAhYiUNUwcgpZm2kFFK+x/z8PHq9Xj2Ms2/fvtrjff78eezcuROHDh2CmdVCv3//fuzYsaOeTLh3716ktDIURusWGNzRS4d7OWTGmLDom+h21d5Lwd9q+ev/HMbAun0Pqt2zbgDAIZ+/APAzAN44qodsgcyuWV5z3yxH0iJvce53vxyr7tfz/j499uWLiICOZmgf4+/3/3OGQFRWX0cq7yTM3juk5Jhl03fwClKv+TL4EZsm5Mhy9LvIa4VJkldJD2BQfnyIHPt87ed13XzVv9QHOudHR31163aOyAIr4Rac28O81HPM/OjEoYNKzzNvPzoLrIQpeJkCVsIO/DkfwqEjwawblpU76+k8Hl0Fi1xA9TbriqEW2hcQajBzsxS+M9+D76WT4VU2NeaY36wJ20FmOxFkMzsM4JcAfBeARVRL07wUwK0ppZF1DkPgNgAfSCnNA7jfzO5BNVvxL6LEEUH2hMrHKOtwkN7DhugJMwmnDgMpWVSLkcfAyjqG3vvKPBl2oeEQfrKdHxbib++FUkFVoed9zF+HrEhiOUuYYRVKjrkuMoCBCRN8F8Yh03usv/XbsD4J9XIpGYm8yirIE6JwX4T+EjRmlvpletLMvmIUmY+ZzA4lr0A8ea7pfA6eJOdIbxNJ9nnxd0ScNS9eayPpkXc1Sps7p7Kust1Ejv1IjJcxX+7ISOn6DaLvNyyKvG4qhpJXNZxUX+aMLhI6YLCPj9bGV2eTLh2qjhcSTT8Jj5PPAQyEKOiyrEqUqR9ZRl7zK1j4MAu+G6/xmP9z3lNNT92ry7t5cry4uFiv/Wx955N6kjnSzLr0BofvA/TbecKr/YTq6mGWbdsOMts1xOI9AM6hYuIL/XN/AeAVQxR2rXidmX3azN5rZkf6565FNSuReKR/bhWavI4qsNp42CA1hk9je1SAdUk3ChgFj0Kni5TzWL3LJNLsOHRJGnp0lTBTcGlN8nkABibxkdhyNQsu/aZWOy1wPzmQ76tx1Vzabe/evTCrJuhxoxAAddhhvh3wAAAgAElEQVQIJ0YsLCwMTGSMPAkUIn4jjetWL4T3SKhS1464y+QBpt3K4R9U8nSlnjCzrwQwKs/RVsnsuuW1C/HU9P63J26R8ZQjhsDgZBbmGxFpT5Yjo1SVqN7n743+PLqQY32HNnLsr7cZH13qPyd7bfe2ISevmyizRV4zUMdFztjzq1ioXmU69v/Udz6eVnUhwxv0mM4bAHW4BXUv89ZzfObCwgJ6vV69GRfJdBResbCwUOtLTorXMAse8xrT0pEUvS/TppTqFa0YogGsGAFc4UJjsIEVEksim8TLDqz0Z0yndUr54bv6+UD6HaN+pgnbQcd2DbHYMOvZzD4K4ERw6XYA/w7ATwFI/f8/A+CHhsnfrwdIa5ANRsmuWnsq8PTW6hJmbGgkpOpJBgaXZ/HHFGjeT88xhUdjlEhg1WtMUk2izL3o/WS9NoWqCtJbxyTRAOqOhwQ7pVQPW6nneGlpqV7ubW5ubsDQoCcdGPQe64Lm6kFQYeR3oPAyPd9H30uHgZowBtbtrwL4PTO7HcAOM3sBgP8TlaIcBTZEZjdaXvvlDM9FRpGUKyS+OaIZEV6VmRwh9gRSn6Fl0Hvb3i2Xtule/4w24t5Gjr1XyefZVIZcWbu8U5c0zK/I6/DYaHlNKdVEDVhZ356/1VOsUC8ynSXs66mHgJUwDHpCdfUoHa2lHucILXUISSnDE6mL+Ewf4qGOLu85ZlnVS6w6U/uP6LwnrDpXQJ1CJNnkE0tLS5idnUVKqV7Bgs4okmfOX2KMsupO1pOGsfhvojLvPclex2qIZFvbmHSZ7UqQycRr5j0q6zml9OIu6czsVwD8cf/wUVRr2hHX9c9F9w18UDYc9VRS+HxcMc+rwGqoBYmeLqkUkWQ+nx5Vhk1oSIPGW83NzQ2sUUyLUYd8dPk2qcs6HY9zdcJ60f8qwPSKX7pULZ+zZ8+eetiHW1HTk0yyzB2NKKAk07riBuOf1CjQjjJnwWoHwnfIEYYuQjkGwvt2AD0A7wZwBYD3AvhlAD8/ovw3RGY3Wl779w50yplyDPzOeT4jwpwjwTrc66/nyG9ESKMyeiLrkWuLkSHgn5XzSjNfnm8jx2qY+nfwBgiv5YyANuLblWhrmiKvw2Mz9KtuuqE6Vp0W7JebJo36YXzqXyXJ1EvUfwyvUII9NzdX601gZdKfhlzoUm7UtTrnSEdk+Y6q6yNyrHXiz9PZFckp64DOLl1ZgzvtsvzkBwzLJKFmWXUSIxCvj+zDLlj/agQQ/E5e9i8XHduVIG+09RzCzK5OK5MVXgbgM/3fdwJ4v5n9LKpJBDcCuCuXj4+HUlJMAVAloZYWBUaFx3uOgRUSrMu9ARgQQLNBzzGf7b3JaumyrErY+Zx+HdXX/W+px4H68F5Weq4ZqkEh0uVweM3v+kNLlmEWDNVgPBi920ryWTca553rMPnNqLz98JAPu/Dnc9hq4U1VL/nzGJ2C9dh0mR2VvHrC5MmZEuHcNU9qo/v0Wbljf84T94go83yOLPv8fdqu8O3XP68rwQcGY5J9XrlnKLqQ5S5EOIcir6PHqOQViFchAlYTYfblvKaOIWBw50fV037fAWBlNJY6WXfAU6JJ/cKRWPUO87yGA/IasBIaoqOeqmv554lzBB2lVWOUelFHkIFq5JbOJoY9zs7O1gYCPeY6SU/3QVCuouEN9F4znfcYU39GBjH/6+hADttBZrsS5I22nnN4h5l9LaohoAcA/DAApJQ+a2Z3oJqZuATgtalhhm3kHaYgKUlT8kyBoKBo8DwtLy9EOqyju+bQa8qYYxJNHb6hpcxzSiJJXtXiVAKoXiK9lhNW9TDzPtYROxklpDrblrODdfbw9PQ0zKwmxyTLFFaNs1bvO/PU5/ObsOzRcI8KL38TbQpe022l8JrZfQDen9wEHDP7m5TS14zgEVshs+uW1wjeI+WhxNXf468Ne6z5NZUtUiLMT/9H19dDHDXvqKwRgffnmmKSc2X0ijMiwTm5LPIaYiLl1ZMmYPUGTt6RAQwSZhI43+/rSK736FKnKgGmM0p1Np+tzigSSh25pX7yTiYlwxrfrB5i1bfReS2jem+pz1R+WEbdm0BX6yA5JrHniDJ5B+XZh1P4Jd+8EaNlyzmt9P4uc322g8x2IsibYD3nnvu9DdfeCuCtbXl4r5I2AvXI6m8KhpJibUS6koWSYB3C0dmvXC6NAq0dgp4jOdSOQ60/HXryQsiye0uRdZCrGwoviTFBYsx31rguxjypp5yWrJLj5eXlgZnFJODMg0YE4620E1KCrr81BMN3uix3lzhktaK3CFcD+EYzuxPAq1JKM/3zTxtF5lshs6OQ1yZ0JWq+Q1f513yGOfbP0rKonOWIsL+u5e/67k3nfD7+mifyOmKmxzlyrO+eK090rU2JdkWR19Fj1PKqbSSnO/U3SRj1EMmrhksAGCDJqe9NpZPGO7x8yCKfR31BXaIeZl3ulO1MCXm0ioUnn9F5fWdfT+rBVZ1G3aryysl+rBuGkXAzLmBllQ5e17rRiXksL5/t+4EmEu37wba+azvIbNdl3r45c2kewCMppQe7PnAroLHEZisLaCtJ9r81rXo9lZiyQZI0a2yUPodCqKtd8BlKnElU2bDUo6xhCkqudYjHK/QIuTTMU4WJsdLqKaeVPT09XZN39SQDg2EWFPCUVmKS1XjQGDJPgv13Ue+CvkNElrsI7xbHRy0CeDGAXwDwSTN7aUrpXlTenHVj0mWWaCNo3rPhSbHPZ1iS7MtCRB5RVSJRWl8eny73rAh81yYCrvWh8uEN5yZy7PP236Lpt39//06RkdH0vkVexxeqH+lAUrJLr6sSRnV8MA+NMQYGR2eZD4CBFZ0uXbpUT7ajftFQPuajulSJspZbQx9JWHUiuXqW1bus/5nWy4ByB0/qVfdq+egl1lAJrnpB7qGrYvFddZUo9czrfgmseyXOym34HlH4Ix16TdgOMts1xOLXUMUiAcBpAMf6v58AcMLMPg3glSmlL3V98GYh6sBVmDWdj42i1UrhVhKsnmN/TM8oGySAVSRZSa9aWjzPtY/Vc8zGq6EfVFgcXmE6/s8p2pzw6ruwgVNAWS4d0qGgMoxCJ+iRHF+6tDKzWVfz0JhkepK9Z99P2vMKWoXfW7xt7WKLhRcppSUAP2JmPwzgz8zs+0aY/cTKbI7c5tpALt1aSbEnr9GzIvKcI3xtZDlC23V9pjcWtMzRdS1PGzn2hkCOEOfKl3uvyABpQpHX8ZXXyABS8qrtRZ0f1Gdex9EDqhPx1ItL5xBHbDl5nWSceejqTjynzh9eY9lIhiMCTGiYBbDieVWCrPfkCDT1tbZr1eu6+54aHboXAtNxrWTqUL2uBoa+v/8GGo4ShWNEDqjLQccOQ5APAXhTSqlnZnsAvBnAeQA/h2p5mF8C8C3DPHwz4Idg1KMSDfVo44k8x5GnODqmAOqW1DpMozFXSpQ1Pslbu9rgtKxdQgo8fIC9Jwka6kFirKRUF2dnXap3GcAqcqzbbQMYWFJHJ1qolapeA1Wq+j19p9tF8Y6B8NbaJKX0y2b2OQC/A2DviPKfWJmNjLfoGpAnxTki15Uk83fTuVyZm94nune98KTbG8ZKnH0daXm6HHtDQJ/h7/N5RERqmHcs8jq+8qp9r3dUqLNJjTa9FoVeqF7VkAemV4eKrvDkwyVUlxN0UqneVxLoyTKvK5eI+gK2cR9qAQzO/fHhI9Rz/FMP7o4dO+ql39R7q8vB7dy5c4Ack4fQucd3oj7XsBN10Ok7RL+7hjD699wirFtmuxLkfwbg6j4bR1+A3wjgyymlt5rZj6JaTHzsEMULqdXovZEqcLyfAqqzW30Mkfcse8FkI9SQCI0X9vFNGg+tgsjOw5d9GLKcU6CaL4VHY5OVvO/cubKhCTunHTtWNj6hhayeY5JlMxuYEKGhJ54Qsy74zfz3851QFPMVQb0WW4QBRZdS+lMzex6A3FDrsJhYmfUYlhRHZGwYUpy7x59b7/uMgii3ke/oWWslx/7+6FpUjug9I+LchCKv4ymvqpOU6KkuU92p/Tx1onp4AQyEEqpeVW+oJ9VK9DS0wzt8lCSrR5Xl9boRGJyU573E1P+sC5ZPj7V9a94aiqJlZx4se6/XGxiJpr7VkWiSYz3WUXIN3/CEWIlzk2wzjeroJmwHme1KkC8C+HoMbjX5dQBm+7+31o/eACWUSshUyCIrVgmsHqul6Ukxjyk0FHC1EpvOKXkGViww7XBUINmYKWB8X/6PhD3y/PCcdgIqoLpT365du2qSSyuWnl9dl1G9zupJNluZgawT9vw3oFGhHap2wkri9TffqY18+E5iM2BmllY+wF1m5q2ZRwG8b0SPm1iZbQO/bxNJ1nRAd89xE3HW/01trCsB7kIM29BEPqPrOcKs56LjXL365zQpV6Zbi4FQ5HV85VVlxzt+AKzqnz0p9vqY16n/dKTRh1uoM0n1IsmintNwSepRdf74UAeVee8F9iRYj7Vd87yf6AeshD9oSIMaFvRiq35eXl6u9WmOHFNfK99R3enji6mL+dtfo47V971cdGxXgvwmAB+2ajbgw6gWDv8OAP+0f/1FAH6360M3G0qEVZnmSDKv0Vrz5Fo9ySqwPPZeYk2j5zwh5nlgRaCuuOKKWni1AaslqySdoEB7Zekbte8I2KhpcTKNTtYjCWanxJAKv/A6sBJWoWQZwEDYhfcAqCdZr+lIgHYoPg6Z79KELbJuzwE42P+9hNWTBax/rnmByW6YaJklmjyMbSQ5R3hzBDhHrHlOj9vOE7n22EZsm9JF6OpJ9mXXuovKq/2Nr09ejwhx1/J3NRKKvI6nvHrDR72USpj9qk/Ly8sDO+RFIXUaese89JwnuEzjSa+GRvA8//tRUr6DhjKqrtV8VHf6tLzuQy1IeJWw6j0MHfEhFiT96u0FUIdZqIeenmPyFepR1ruSXjr99N1z11ge9eQ3YTvIbNdl3n7TzD4F4DtRTST4IoAXpJQ+17/+x1jZhWesoArAxzgB8cYg2sDYyCJPsTY65qVWsY8v0iEKnaSmFi07FHpPVXlpg2QHxEasAh39JzQP34C9siLJ1fdWA4LXWVZ6knXoCEAdiqFhF0qWdUKBN1TUk6DfMbJsfcfT1i62ID7q2fL76Rv5oEmWWUVE/CJS7K9HaaPrXdL4vPz5tvJ2ea8IbXm33dNUlqgOfLo2Y7PNkxw9Kzrf9AxNW+R1POXVkypg0OsarWqh93kdTL2kRFA9ndGKUHof27TqBLZV6m22PT+RkPepI0ZD/vS3/gGrvco5KE9QD68+y3uavcOKOldHWCNyrEuoapgF3917/ZWv+DqkLlZvfRO2g8x29SCjL6ifW+8DNxs5IWQD1QkEmtavHJHzHJPYauNVq1nJr7ek1dL2CksVcuQFVm+YTwPkvTlNhFjzV+iEPSXyrAd2MLqRCutHdxQkgVayrMv5eE+ydo6sW5bDC7K+j1fEEbQz2iyklB6W3w9uwvMmUmbbEJHanGczIrY5kh2RZH8f847IoT6b96wHXb2r+qw2L26OCGtd+HO541xZh33/Iq/1MyZSXrVPjoiWOk2U1Hqy6ft5dYRo2IF3wkTeZObj5VsnsfnyE3x+5FxSnUv48is84VZiTJIbGbJKmLUegBVSr++t5Jj1znk+Wld6XQ2SnAOKz/NeZc8lcu1i0mW2M0E2s5cCeCGq/eLrlpNSGuVSNyOHEkkKZSTMKrDaMFSYPOH1k+68l5h5Mo0SPj0PYKBD4L38TwHWhqwCF5HaiFhHdaN5ESyHrx+/rqTGJdO6VCKs4SQk0MBK2IXuFgisbNftJ0uqxeoFWb+xt3KbsBXDP2b2Pqwe8lmFUcnUpMpsE3Kk1pPZNtLXRJKZR44cRiRR5avt+nrRJutRukgJ6725OvBpNK8mw3QYo7WLIVDkdTzhnTU6+sfzOuJKoqYkWYlsRIo1PUMQ/EijOqxUH6guBVZGO1l2v+oF9Y/KupbNk+uoPpqgziZfhxEB1rpg2Xy4CmOStZz0HKu3Xb+P6litD603YPVyqdTFTNeE7SCzXTcK+UkA/wTABwC8HNUWmK9CtWTGWEOFTgmnklqNU/IT4lQ42UC951jvJyFU4kyhVKIcEVA/OU8Fks9TsuyVm3Y0vuMCVodXaIfgCTr/dMtsnXFL77B61Fl3vIdDPD4dgAFyrASYeWjd6mLz+g1ZP6yznFDnMIyHbkS4Z7MeNMkyGyFH1nhOCViONHchxfoMvY/nNV1EQCOirNejd2p7Z39/9LuJoOfIvZf1prr1ZdV8mq7xeBSyVuR1/MDv73WH79P9kp6eJEcrREUjvzoSq6SQOpa6Q9ug1+na1v3KGMBquVPCGIVY8H5/r+ah8DoaGFwhKsrfb1iixgb5DPPxG7Z4cuzDMvz9mladThrOGcl9rn1sMkYqs109yD8E4FtSSp8xsx9MKf0LM/ttAG9su3GroR9bQyu6hFNoI9PtKNXqjTzRfIb3HkdhFyqoKsRKypXweWvTN8AmchhZc6o4o6EnjQdjGj+pUIWK5WIIBRdz94LL8ngCDGAgf53trJ2u/57AyhAYfzdhK6zblNK/3sTHTazMRsh5fiNSTOTIoD+O0ug55uWJnz6jiQxHBLPrO7ehi0LWviJ6T73WRpb1mf45XYyAHFluq58ir+MN1bEE9agnxdq+lBSr/vOhGiS6OW+ztlvvYQUGibI+h+Dz9H00X2C1jKu85HSrJ86Rfo28yXwX1b96P0dqWVZgMNxRyTHTKM9gmbVO1TDh+/mJk/zOvn4jbAeZ7UqQD6eUPtP/vWBmV6SU7jKzF46yMBsB7zlWUgsMrnPsQyPYOHLH3iMcxRerkCuZjqxItdJUoLzC9oorEuLIc+YRpfXPIaKOiXWYWy7Hd46eHKeUBsgxybLmHdWj7wC1o9UOs61dbLbwepjZFICbsXpI9WMjyH5iZTaHnHczIsmRhyMigMBq77I/x3v1PM81eVCb0mwmIsIeXW96rxw5bjrOXdNydPUwFXkdX2ifG5Fav6SbeoGBFeeMn6DmSbHXC16fRqESAFY5frwHNDJ+lbjymifMmr5JviOnVWRkR+GUvnw87+tZJ+CZ2UAIpDqo+Bwfk+zjjvXZnoiro6oJ20FmuxLke83s2SmlzwL4DKqt+84AODNkeTcd6oVUouVjhtUCVqtWY50YJqGEW4myWnw5r7G3DlWw9XxEoiNyyns82W5S2golBT5sw5eLdcLf6k3WyQRKXnX3H7Vid+xY2T2Qwzw+tikyPNSy5XMjgtOmeLfCulWY2TcC+CCAaVTL0pwHcADVEk/PGMEjJlZmmxB5LZtIMoBV16NzESGOFKdXrFGZvPHqjU2fZj3ooqBzZc7dOwpy7BGl1XRFXidXXr1B5QmzhhcqueM3JUFW4qY6W0MCAKzSqXym6gItmw/h0DL7kV+VV9+3qE7WvPwzFWyzUfv2jhydsOd1MOstmiflPekafqLcBcAq48TrWL6nhi/q99BwzDZsB5ntSpDfiJW94d8A4D8A2A/gNUOUd0vAxhVZSj6G2A8fsEFoIL9vjN5K1gboJwB4DzMwGDOk5DuyhD1Z9ukiq9cr54g4syx+yCSyTrUzAVbPqFUrk+9LLzHfNVoiT1ezYD3qdd+58hlabn6XiJB4jIF1+y4A70gpvcvMzqSUjprZm7CyMcB6MbEyG6GJfOVIMn83keIojT+XOx8Zo7m2FynQtjYaYRjDl9dz5YuIsT8/SrLchcznUOR1vKFxutRF7NO9x1NHGHXSGvt9v3yZjuBGetsTWx/yRx3m9aY6XbxuAeJwRv+MXLsHVm8eEsmEd0r5tJ4YK1GNHFIaU6w6l3XrybPnF8pdzAY3FdH39u8RYTvIbNd1kD8kvz8J4KuGLuoWQQVHLSpgZZgmssqawis8qVYS7sM0tMFr+IAKsB9aYbk1fxVOVfJe2HmvlnUYT1FkHbJTypHxHTuqDU2Yh06880TaT3hUMhyRY+bD9JFhomVm3m3YausWwE0Aft6dexuA+wG8c72ZT7LMRvBtFYgJrz9eSxrmrceaVsvky5O7HsngWohihLZyNJWh7fwoyLHWb67MbSjyOr5Q8qSOJjpDgMG+XCejRZ5krrzgnUw64hsZrKr/tDyenPo5NV5/Ej4tzzG96kStC5+HljPSr8DqMEX1PPtn6ZrILIuGXqj+1HpVnet1sL6fOu+8/vX9ZRO2g8wOs8zbXlRCu1/Pp5T+vGsemw0VHP3Y2qAiCxVYvf96LvbJp9GhCu/pBNDYOP0QkFprer+eU0HRe9VSV2LQhQyoEPhn+TS+o4riwdRjoFaqdkoak8xjAANGhRoT/F5aB34puCbkOqpNBHf8OQvgMTN7FoDTcPK1HkyizHpE7ZXItWe97tF2j783UsQ8HxmXkXcll4e/vlZ0vb8rae5ybq3kWI+7eqKYpsjr+EJ1rIYw+vXtSeCUJAODo5Ua1qjOq2h5MU98o3BFpokcR6qv9V00X9/uIpKosh/pYv7W+xUsi0+n3nJ1TGkeJMIsOxBP2MuFVSifUcLtdayvu8tBx3Zd5u37APwigAUAPbmUAHxl14dtNpTkkQSrhRTNivWENydwKvAqeKoElUT6tDnl4K95Ahx5sjx8Gfw5Pe/LECl+AAOdn5JfvQYMdi7ek0yhZCep5wAMWL56rHXuv5saPkzbBfrcLcL/A+BbAbwfwHsB/FcAixjRdrKTKrNAs2fYY1hPZFueXi5zisDLF/NrKk8un6gPaCPSbQoqIrlt15vO6flhyXLTe3X9fkVexxeqF3x/rHNWgNUT5NTxFJFqEjWvM7zDKtKxWj7+V2eUkk7/PqpviCbHVCT/EZH2+ahjyetQ5SwRr/DOJ+anYRFmFu7C5z3JOr9KHVBmNqDHo2+Yw3aQ2a4e5HcA+M6U0keGLWEbzOzlAN4M4KsB3JpS+pRcewOAVwNYBvD6lNKf9M//fVSu850AfjWl9LZc/urZ0XAKT4K14bCh0HpTkufjbSOrTtN5AfYzdVUI2RkoKc9ZmnpvZLnqsQ+18O/vLeEoLkqJr5aV+XurO4o/1nOajp0jsNqTHHW43iPhh4TaBNeXfyuQUvrn8vudZvZJVJbtn4zoERMts/64iSRnyrgqL0+8c8/2iq3JsGzzCjXdHx23nc9dbzJyfZqmsjYR5vWS5bWSY6DI63qw0fIK5Ddw4nFEYtXJwTQMr1DiRz2hc3W0zwdWe329PlYCq/HILCf/q9PHk219hs+biJ7tCa43GqK8GKLidTCfwTrSuvBeY/U8R6Q64iS+fvQ5WnZvPOTaxKTLbFeCvADg40OVrjs+A+AfoVoYvYZV7vBXotpb+xoAHzWzm/qX3w3gWwA8AuAvzezO1N+z3sN7gkmSlVz662zM3oqN8tB7ct5kDaXwm32owLetfeyFSIU5gjZyTe8RKT7twPQ52gGQ/PIa/1jvvBYJsxJhFVySYX+s7+nJsXZCvuPMYQys2wGklP50xFlOrMxG6EKmPKmNiG4Xot10XQ0wr5Cj8vg8h32PrmgixLk0TdfbiG+XNNE9a0WR13VhQ+XV61Bg0MPK615Xqk4gIeQEbtWd1I0+LCIX7qjtzXuaNe/IwPWyDawOH/TvnkNE4vU+r8t9P0K+oPpRybXWtRLXKDyF6SIdCgxu3KU8Rb9RNLLbhO0gs10J8k8A+Fkz+9cppVPDPqQJKaW7gbCh3QbgAymleQD3m9k9AG7tX7snpXRf/74P9NNmhTciyVEj8+EWvsH5eCYliwAGyC/TeAtSrVGpg1WxUP56JDy+M2hDLq1XaFpO9TB7S1av8x4d6lHr1XsQWF+sa7V8tTNqGubxhsgwYRbeCNlsmNlXAvhJAH8bq2MObwpvGg4TK7PDICLA/B2RzGGJZ/SsSA67PGsUstoFkcEbXW8izF2IcHSuy3FTfk3vVOR1bdgKHas6VGWEaaIVpJJ4L6XsA6O+SpQ1L98+IodXFG8cEWG9FulrfUYX6AQ8r8ujfsqXKUd2AYSE2U+CZHrvEfdpdCk4b5x4csy0TdgOMtuVIH8RwFsAvEY+nlXPSe0rRq8N1wL4hBw/0j8HVOvY6fnnRRkocfMCDDTHtnrPceQl9gozsgi1w2giudE1/7vJCxUpwjavUtP1yIMd1S3T+3r1w2i8J6pzNUSa0kSeZB5H9d6ErRZeVOszfh7AmzAYczgqTKTMDgsvC+shwESO8PKaPmeY5ymBHyW69gdNsh+R5i5EODrXdtxW9ghFXjcEI5HXnI4lSVY95729SnSj9uIdTMDq+GEfrqjPYD7MVz3b0X8v1zmZ5bt0Jcksf64NR+/PtJGTSbmNls8TYX2mhrR4XtM0D0jrmdcuFx3blSC/D8BvotoXfugHmdlHAZwILt2eUvrDYfMbBp7oecG5dGkl+J+WEhtjLrzCE2+18nKxuBEZ9gRar3nrO3e/fz//O6fwFE3EPLKwtVxR7FfU4Xkh1XN+wp6vV6bh91ThjOKp9NlN7WKLh3/+FoAXpJQ2qgeZWJntgiYSu9772uTEG8JNz/JpRkHg256n6GoQ++ujJsdRvm1lUxR5bcZWyqt6E6kzvb5SfRGROD+vRvWMeo1Vv/iQCz4/Cm3Q86rHvEyr3vRpCG2rkVe6DV7Harn8snJ8f61rH76i9RLVIeuAdeKXS/XLqzL22W/kxff1+j2H7SCzXQnyMQBvSmvs3VNKL17DbY8CuF6Or+ufQ8P5AahAetKlwpCLJ27zHLfFIXtFGoV55Ei0V0I5wsz3zCFS6rm60nuaOpHIW6x17MMsgNUWslqw/Aa+zqM0zMsfR9+sCWNg3f4RgBeimlm7EZhIme2KtRLNtd6nxDrKoysZHlaZDoOuz8sp/C7nc+fa0uTKF90fochrM7ZSXnft2hUO39OR4fWikluvYyPvp+o91ZnAar2lns9oZQfVQ5qklU4AABSXSURBVJF+JqI0/nkRmq574q7v7NN5QusdU17/+rLmwlsi7713UPG7RDHLvHa5yGxXgvzrAL4XlYW7WbgTwPvN7GdRTSC4EcBdqIadbjSzp6MS2lcCeFUuEy+QegwMfnj9+G2eYy+w+qycZarPUaKpQpq71zdI7znV943+e/h7VGg91OOeI866UYgKRu79oyV7otUtlAxHhognx3yXNsEcA+F9PYA/N7N7AZzUCymlHxpB/hMrs+MI9erw2F/vmo9HV9LcVoamPKM+IpdPE2HuQpb1XHTPWuquyOuGYOQ6FhjcK0BJsurYqN+OdCww6Alt0rvAYGyumQ2MDjO9ejU9YSbUGM4R5Da59e060rFRfkrotS7UMxyFQKpBkasrvxdBNHqrHns99pzjctCxXQnyrQBeZ2a3Bw/6ux3zCGFmLwPwCwCOA/iPZvbXKaWXpJQ+a2Z3oJoYsATgtSml5f49r0O1VMdOAO9N1f71q+DJqBfGyMqNPMeeIEbxtZ6AexLJ+7XBauwsr+tzcorLv2MXwc4hKuOwaSOC74mxrx8KqZ5jHjnvvaYBVscg67O6xEdt8fDPr6NaWulubExM40TKbMfndyako8RGPXOYfLukzRFcvRbl10SMu6SNyHHTs4dBkde1Y6Pl1etY3x/ndKzqTiXE/pzXpz6tkjtgMEZZV6wi9FhJvdRXlpxre4/aeVdZzulyn4fPW0lnxCd8+SNO45eP4zmO/qrOJTmOHFSXg47tSpB/pf83cqSUfh/A72euvRXAW4PzHwLwodV3DIIkzMccK3nTRhUJuFrGEenzefvn98tb/4/y0PRKOj1RVtKb+y911Fgvbef8c70Fqum8ZdxkOBBecDWtHntynItB1mPNM4cxsG6/GcA1KaULG5T/RMpsx+ev6/5hCXZb+iZC2nYPkSOaXUllpLijZ7WR5ujeLoS56R1yaXJliFDkde3YaHmNwg9V1+V0bDR/hem03XnC6h1LWg7ChygQ3rHl9Yje74l4RMwjNLXl6H19PlG9RJ7hJg6h5FRDIjTGeceOHXVoo5JfEuhcmEXXGOTtILOdCHJK6d+v9QFbjYgUewGOjnMWLLC6wfl0nlD7oX89F1nCem+UJiLiPp1e6wLN01vGUVnUOo+e7Qmwt3Rpnfq0fsMQ723WckVL3+h3aMIYCO+nUcUdbojCnWSZ3Wi0tY3IsI3ON+XXRqoj75OXoSYvU1dEZW7LN1LiXdK2lbOJUBR5nVx5bdKp2n8D8SRtr1f0Pq9jCa+PVW/knDJATJijckVtLUcK25xTuWPVr1Efk3sPpvVcgdfUQxzN14kINNNo/bO+Ulq9vOrlIrONBNnMvrktg5TSx9b68M1Ak1XrPZNqGUVEWc/5uCm1ar2wqZfZk2gtY2Q5RlajHw7S9B5r8bb5joBC4hUjNzbhczyJVW+zj2ny7+jTAqvXSdb7crOeo/qN4DvKLcDHAHzYzH4dq4dU37vWTLeDzDYhR8hGCa/o9bwvS64cXcvXlP8wyHm2mohxjth3LYtPu9Zv0yV9kdfxhg9ZVKdGtN69J4JRX+6dU95D7Ik2J+apvvI750YeY69PfDy1oouO1XfLOag8p9D39vXqOQp/e67i+Ya+p34HrRe/rFsU56w69XLTsW0e5F9ruZ4APKPLg7YCkRXL41zohCfE3vplvkqII+WkZFYF3qf3ZVX4DiMniE2/vWHgy6npo+d45Zcrt1rz+q56PerUcu+Z62S9gQLkwy6aMAbW7TeimgDz99z5hGrf+LViomW2DU1KZ9TPGUWaLmiTS73WhQi3oSntWo2AUZHlpnIVeR1PKJmNdGwUY6w6Scmzn2fi25ie9yOTumOs984qCfbQtso0fE4UaxvlzeMmQuzfJ3KC+fphGbxejsIVAaxyIvnn6yYiunteSmng2H8zT4679o+TLrONBDml9PS1lWs8kPMcK5nz8UwqHEpyvaB7ksz0RK5T0LSRtRa9Q07ZeOKt5c+VK0Jkwfp685Yq39G/iy+bdp6eHEck2gslPccROdZvEO1i2PbOWyW8VhXu1QAeSim1b0k0BCZdZrtgVKRrWGyG99o/i1C5bCKt/v4cic71Sz6Pru8apRtlPRV5HW9o3+374Shm2DtCcjpWkfM885rmqyQdGCSZnmhGabSc0S63XWUjIvpafs0zuld1Xo4Uq47VMvt60V331JhRIyCKSfbHl5OO7TpJb2KhJDjyEnuLlfcAg8MY0RCSF0pgdQwR84uEm8gRzMjD7Z/h0WaV+neMzvv8VVC9dR4RfT/8o52mF3a/k57mw/NROp/XMILLZ2zV8E9KKZnZ3wA4sCUFKFgTInkbhkQOk29TnhFx8OebSO9anjOsceDvbTruml+R1/GEjsYCq0lxpCf9agm+H4+cS5o2craoLqL+8OSWzhQlhxGBb9Ih6mTT0D+WU+/XuvHOIvX26jt6wuu3qvYT7TTsQp+vW0ZrHem30LpeXFysy9zmkLpcdGy3fRInGN7y8R5gTQMMNmK1aoHBrRp9Y/QkjRMHeN7vme5jq3J5+vADTRu9J59L4ePvnTt3YteuXQP/Wb4cgWcMkdad3sO0y8vLWFpaqoVh165dqyYD5Kx6ltF3bFFnp/XpybH3SrdZrr4uozp19fv3zewLZnaPmf14cH3azH6nf/2TZva0xgIA/x1Ap/3gC9rRpcPeCKyHHKsB6Y3Opr+oDMMQ18iIbqq/iBx3re9RkGM+O5LXhpG3Iq+bCHWC6LHXsTzvSbH/jkoW9X5e83kAGNCh2qa1rSwvL6+KS/ZEPPoDMKBbNd45p1upB1Uf6nNYFnptqdO8PqR+5R/zjOby6HtFZJp5erLO5+TIsBobG6FjN0BegRHI7Lb2IEcfGWifNatDDir4ahXqvbk8Nb1vxLxH7/UWZOQR1fNe0fj7gJVQD02vZfP5+DTRe2m6nOL2Fr/e4zs+PZd7nr5PZOhEx02IOuUczGwngHcD+BYAjwD4SzO7M6X0OUn2agBnUkpfZWavBPB2AK9oyPbjAP6zmf0GgIdRxUWxbOuJabwssR6iOiwiwrgWRPdv5nsA3d5lPeWM+qi1oMjr+ML3t0q+IuLmvbaqA/w55sdzXv954zHSGU06xeuhnN5QgujvzXlJPSFl/v7Yk9emvPTZfkRX38875FjOyHiIdHHkgIrIcxO6yuwGySswApnd1gT55ptvPvWRj3zkwWHueeqpp648evToqY0q02aivAtuyF0YMjbqVgD3pJTuAwAz+wCA21AtsE/cBuDN/d+/C+AXzcxSnhF8A4D7UW2FqVjvpJ+Jxc0333zqox/9aJHXbYAir5cHbrrpplMf/vCHi8xuA2yhzG6EvAIjkNltTZBf9KIXHd/qMhSMLd5w6dKl3f3fX9f/A4D/KUh7LSoLlHgEwPNyaVJKS2Z2DtUajGGHk1L6X9ZY7m2LIq8FDVB5BZpltsjrJqHIbEEDuurYkctrP926ZXZbE+SCghxSSm/b6jKY2REA34FK+B8F8EcppTNbW6qCgvFDkdeCgsnCdpDZbT9Jr6BgBHgUwPVyfF3/XJjGzHYBOATgdC5DM3sBgHsB/BNUFvUPA7i3f76goGDtKPJaUDA5GLm89tOtW2YvW4JsZi83s8+a2SUzu8Vde0N/tuQXzOwlcr5xpuW4YFLKqTCz95rZE2b2GTl31Mw+YmZf6v8/0j9vZvZv++/3aTN77gYX7y8B3GhmTzezKQCvBHCnS3MngO/v//4uAB9riY/6OQCvSSn9nZTSd6eUvgHAjwD4tyMu+7ZBkdnxQZHXIq9tKPI6Xhhjmd0IeQVGIbO6usLl9AfgqwHcjGqm4y1y/lkA/geAaQBPR2WB7Oz/3YtqV6OpfppnbfV7BO81EeUMyv13ATwXwGfk3DsA/Hj/948DeHv/97cC+E8ADMDzAXxyE8r3rQC+2K/b2/vn3gLgpf3fuwF8EMA9AO4C8IyW/M4A2BF8uzNb/S3G9a/I7Pj8FXkt8trhGxR5HaO/cZbZUctr/551y+xlG4OcUrobCJd1uQ3AB1JK8wDuN7N7UM2yBNpnWo4DuswIHTuklP4/W7224W0Avqn/+9+j6mh/rH/+N1PV4j9hZofN7OqU0mMbWL4PAfiQO/cm+T0H4OVDZPklVJby++Xcy1F1EAUBisyOD4q8Aijy2ogir+OFcZbZDZBXYAQye9kS5AZcC+ATcvxI/xzQPtNyHNBlRuik4CoRyMcBXNX/Hb3jtQA2TOFuAP45gD82s9cDeBDA0wDcCODbt7JQE4ois+OBIq8FXVDkdXxQZLYB25ogm9lHAZwILt2eUvrDzS5PwdqRUkpmtrm7KGwgUkp/bmbPBPBtAK4B8EcAPpRSemprS7a1KDK7PVDk9fJAkdftgyKzq7GtCXJK6cVruK1pRmXbTMtxQJcZoZOCkxzWMbOrATzRP78t3jFVy8381laXY5xQZBbA+JazDUVeLzMUeQUwvuXsgiKzDdjWBHmNuBPA+83sZ1FZHTeiCgo39GdaomoorwTwqi0rZR71jFCMdzm7gDNX39b//4dy/nX92K/nATi3kfGMo4SZ/VfIlpcBUkrpRZtVnm2CIrPjgSKvBV1Q5HV8UGS2AZctQTazlwH4BQDHAfxHM/vrlNJLUkqfNbM7UAXcLwF4bUppuX/P6wD8CaqZkO9NKX12i4qfRap2mRn7cnqY2W+jmixwpZk9AuAnUQntHWb2alQxRP9rP/mHUM16vQfALIAf3PQCrx05a/ZaAK8HsHcTyzJRKDI7PijyWuS1DUVexwtFZoeXWesvfVFQULAFMLNjAN4A4H8H8DsA3pJSemRrS1VQUBChyGtBwWRhPTJ72W4UUlCwlTCzg2b2U6gs9KsAPDel9H8UZVtQMH4o8lpQMFkYhcwWglxQsIkwsz1m9gYA96FaSP8bU0rfm1Iq66kWFIwZirwWFEwWRimzJcSioGATYWYnURmm/wbAp6I0KaWPbWqhCgoKQhR5LSiYLIxSZgtBLijYRJjZA2ifYfuMTSpOQUFBA4q8FhRMFkYps4UgFxQUFBQUFBQUFAhKDPIEwsyeZmbJzMZ2mT4ze7OZLZrZjJnt24D8b+rnvWxm/3jU+RcUjApFXou8FkwWiswWmQUuU4JsZg+Y2Vp2ANo0mNk3mdmlfgO9YGZfMLNJWosQAH4npbQ/pXRx1BmnlL6YUtoP4E9HnXfBeKHI66ahyGvBSFBkdtNQZHYDMbbWUQEA4MsppevMzADcBuB3zeyTqBbuLigoGC8UeS0omCwUmS3I4rL0ICvM7AfM7M/M7F1mdtbM7jOzv9M//7CZPWFm3y/pv83M/ruZne9ff7PL7/vM7EEzO21mP6GWtJntMLMfN7N7+9fvMLOjbWVMFf4AwBkAzwre4QfN7O6+FXyfmf2wXPsmM3vEzH60/y6PqZVsZtNm9k4ze8jMTprZe8xsT6au/p2Z/Z4cv93M/ku/c2mFmX1ch2r6dfzf5DiZ2WvM7Ev9d/kpM3ummf15v77vMLOpLs8q2J4o8lrktWCyUGS2yOyk4rInyH08D8CnARwD8H4AHwDw9QC+CsD3APhFM9vfT3sRwPcBOAzg2wD8iJn9QwAws2cB+CUA/xuAqwEcQrW9IfFPAfxDAC9EtQf9GQDvbitcX+hf1n/m3wRJngDw7QAOotoS8l1m9ly5fkLK8moA7zazI/1rbwNwE4Cv7b/vtQDelCnKjwL4mr7Q/c/9vL4/jXam50sAfB2A5wP4lwD+b1Tf4HoAzwHw3SN8VsFkoshrkdeCyUKR2SKzk4eU0mX3B+ABAC/u//4BAF+Sa1+DaomQq+TcaQBfm8nr5wC8q//7TQB+W67tBbAgz7obwIvk+tUAFgHsCvL9JgCXAJwF8BSAvwbwyv61p/XLuOq+/vU/APDPJJ+epkUl7M8HYKg6o2fKtRcAuL+h7p7XL8+DAL67Id2bAfyWO/dxAP9Yjn8AwH+T4wTgG+T4rwD8mBz/DICfa8qz/G2/vyKvRV7L32T9FZktMrsd/koMcoWT8rsHACklf24/AJjZ81BZhM8BMAVgGsAH++muAfAwb0opzZrZacnnBgC/b2aX5Nwyqm0QHw3K9eWU0nVthTezfwDgJ1FZqTtQdRpqBZ9OKS3J8Wz/fY730/6VjOAYgJ25Z6WUPmlm9wH4CgB3tJVtDfD17o9PbMAzCyYLRV6LvBZMForMFpmdOJQQi+HxfgB3Arg+pXQIwHtQNXgAeAxALWz9OKNjcu/DAP5BSumw/O1OKUWC2wlmNg3g9wC8E5VFfhjAh6RMTTiFSiCeLeU5lKqZq7nnvRZVh/VlVMMzw0Jjrw6t4f6CgmFQ5LXIa8FkochskdmxQCHIw+MAgKdSSnNmdiuAV8m13wXwHf0JCFOohkBUiN4D4K1mdgMAmNlxM7ttneWhhf0kgKW+pfv3utyYUroE4FdQxVN9Rb9M15rZS6L0ZnYTgJ9GFa/0vQD+pZl97ZDlfbmZHTSz4wC+H8B+M7tiyDwKCrqiyGuR14LJQpHZIrNjgUKQh8drALzFzC6gioeqh0BSSp9FNUngA6gs3RlUsUjz/SQ/j8oy/nD//k+gijdaM1JKFwC8vl+OM6g6kzuHyOLHANwD4BNmdh7ARwHc7BNZtWD6bwF4e0rpf6SUvgTgXwF4X9/C7oqHUE3W+EtUndkJAG8c4v6CgmFQ5LXIa8FkochskdmxQNlqegPRn5V7FsCNKaX7t7o8mwkzeyOAN6CaIHFtSumimX0c1aSCXx1B/jei6gCmALwmpfQb682z4PJGkdcirwWThSKzRWY3EoUgjxhm9h0A/guqYZ+fQWW9PjeVisYohbegYBQo8ppHkdeCcUSR2TyKzI4WJcRi9LgNVXD9lwHciGrZmMtecAsKxhRFXgsKJgtFZgs2BcWDXFBQUFBQUFBQUCAoHuSCgoKCgoKCgoICQSHIBQUFBQUFBQUFBYJCkAsKCgoKCgoKCgoEhSAXFBQUFBQUFBQUCApBLigoKCgoKCgoKBAUglxQUFBQUFBQUFAg+P8B7NNdVUrfgHAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('estimated PSFs')\n", "rowplot_psfs(retrieved_psfs);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like a good match. How about the wavefronts? We have to change the mask target here to the phase visualizes the way we expect." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "true_wavefront = zernikes_to_pupil(reference_zernikes, **ztp_kwargs, target='both')\n", "retrieved_wavefront = zernikes_to_pupil(wavefront_coefs[1], **ztp_kwargs, target='both')\n", "elementwise_difference = true_wavefront - retrieved_wavefront\n", "\n", "fig, axs = plt.subplots(ncols=3, figsize=(14,8))\n", "true_wavefront.plot2d(fig=fig, ax=axs[0])\n", "retrieved_wavefront.plot2d(fig=fig, ax=axs[1])\n", "elementwise_difference.plot2d(fig=fig, ax=axs[2])\n", "\n", "\n", "for ax in axs:\n", " ax.grid(False)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimization function ideally lets us predict the RMS error of the estimate. Let's compare," ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2.6528785581336247e-05, 0.00021500122088860177)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sqrt(opt_result.fun), elementwise_difference.rms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "They differ by about a factor of ten, which is unfortunate. The RMS error is 2 thousandths of a wave; a pretty good result. What's the peak error?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.001512875552603099" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "elementwise_difference.pv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "about 1 1/2 hundredth of a wave, or ~7 nanometers. Not bad. Competitive with interferometers, anyway." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More advanced tasks are left to the reader, such as:\n", "\n", "* handling of noise\n", "\n", "* performance optimization\n", "\n", "* improved flexibility w.r.t units, pupil shapes, etc\n", "\n", "* estimation of Q or other system parameters\n", "\n", "* inclusion of focal plane effects\n", "\n", "* extension to N PSFs instead of 3\n", "\n", "* use of more terms\n", "\n", "* use of other types of phase diversity instead of focus\n", "\n", "* formulation of a cost function better connected to the error in the wavefront estimate\n", "\n", "* tracking of the optimizer to better understand the course of optimization\n", "\n", "* use of other data, such as [MTF](https://static1.squarespace.com/static/578d10066a4963fd85e0aa32/t/5af25e61aa4a99ed9ecfa39c/1525833475522/bdd_ug_thesis_10.pdf)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }