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@diplodocuslongus
Last active June 17, 2021 07:28
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prysm, new syntax, defocus, draft
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Defocus and contrast inversion\n",
"\n",
"This notebook attemps at reproducing the same results as in the original notebook but using the new syntax of prysm.\n",
"\n",
"References used were the Lens-MTF-Model notebook (in the tutorials) and others are mentioned wherever apropriate throughout the notebook.\n",
"\n",
"Many comments are unchanged from the original notebook, some added by myself to make it easier to follow for anyone learning physcial optics.\n",
"\n",
"In this notebook, we will use prysm to show how contrast inversion occurs as the image is swept out of focus. We begin by importing the relevant libraries and pieces of prysm:\n",
"\n",
"## Noll notation Zernike polynomial\n",
"\n",
"https://en.wikipedia.org/wiki/Zernike_polynomials\n",
"\n",
"Below, Z4 is used, which is defocus, and corrresponds to n,l = 2,0 (Z_n^l = Z_j)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Notable changes (0.19.2 onward)\n",
"\n",
"Most of the comments below were found in the online documentation for the latest release.\n",
"\n",
"The PSF module has changed from being a core part of propagation usage to a module purely for computing criteria of PSFs, such as fwhm, centroid, etc. PSF has been removed, and all metrics and measurements have moved from being methods of PSF to top-level functions\n",
" \n",
"https://prysm.readthedocs.io/en/latest/releases/v0.20.html#psf\n",
"\n",
" MTF was removed, use mtf_from_psf()\n",
" PTF was removed, use ptf_from_psf()\n",
" OTF was removed, use otf_from_psf()\n",
"\n",
"https://prysm.readthedocs.io/en/latest/releases/v0.20.html#otf\n",
"\n",
"SiemensStar has been removed, use siemensstar()\n",
"prysm.objects.siemensstar(r, t, spoke, ...) see the doc for more parameters, returns a 2D array of the same shape as r, t which is in the range [0,1]\n",
"https://prysm.readthedocs.io/en/latest/releases/v0.20.html#objects"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"# from prysm import NollZernike, PSF, MTF, SiemensStar\n",
"from prysm.polynomials import zernike_nm, noll_to_nm #, fringe_to_nm, ansi_j_to_nm\n",
"from prysm.objects import siemensstar\n",
"from prysm import coordinates\n",
"from prysm.propagation import Wavefront\n",
"from prysm.geometry import regular_polygon, circle\n",
"from prysm.otf import mtf_from_psf\n",
"\n",
"from matplotlib import pyplot as plt, animation\n",
"\n",
"from IPython.display import Video\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we create the source object to be blurred and a sequence of defocus values to interrogate, as well as some matplotlib code:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f05051fc640>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"efl = 50\n",
"fno = 4\n",
"wvl = 0.633 # ~ HeNe wl\n",
"\n",
"x, y = coordinates.make_xy_grid(256, diameter=efl/fno)\n",
"# x, y = coordinates.make_xy_grid(512, diameter=efl/fno)\n",
"dx = x[0,1]-x[0,0]\n",
"r, t = coordinates.cart_to_polar(x, y)\n",
"radius = efl/fno/2\n",
"rho = r / radius\n",
"# n_sides = 14\n",
"# aperture = regular_polygon(n_sides, radius, x, y)\n",
"# or\n",
"aperture = circle(radius, r) \n",
"# aperture = circle(1, r) # try this to see defocus and a ring patterned PSF\n",
"plt.imshow(aperture, origin='lower')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"defocus_values = np.linspace(-2, 2, 100) # 100 defocus values, spanning +/-4 waves of OPD (zernikes are 2r^2)\n",
"source_img = siemensstar(rho,t, 64) # 64 spoke, square bar target Siemens Star\n",
"\n",
"# we'll deal with animation later\n",
"# Writer = animation.writers['ffmpeg']\n",
"# writer = Writer(fps=12)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"radius = 1\n",
"def xy():\n",
" x, y = coordinates.make_xy_grid(128, diameter=2*radius)\n",
" return x, y\n",
"\n",
"def rt(xy):\n",
" x, y = xy\n",
" return coordinates.cart_to_polar(x, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"r,t=rt(xy())\n",
"x,y = xy()\n",
"dx = x[0,1]-x[0,0]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-2.0\n"
]
}
],
"source": [
"print(defocus_values[0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All that is left is to write the plot loop, which will generate a view of the pupil, MTF, PSF, and blurred image:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use \n",
"prysm.polynomials.zernike.noll_to_nm(idx) to onvert Noll notation Z to (n, m) two-term index (instead of the old syntax NollZernike)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f0504b3f5b0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mask = circle(1,rho) == 0\n",
"znoll = noll_to_nm(4) #NollZernike(Z4=defocus_values[idx])\n",
"zerp4 = zernike_nm(*znoll,rho,t) # Zernike polynomial on the r,t grid\n",
"# zerp4 = zernike_nm(*znoll,r,t) # Zernike polynomial on the r,t grid\n",
"# zerp4[mask]=np.nan # results on the whole PSF below being nan\n",
"plt.imshow(zerp4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## creating the psf\n",
"\n",
"We'll first create a pupil, for this we'll use the `from_amp_and_phase` method from the `prysm.propagation.Wavefront` class. \n",
"As the name implies it takes an amplitude and a phase to create .\n",
"\n",
"The phase is defined by the zernike polynomial created above, zerp4.\n",
"We can also include a wavefront error to the optical path difference but here the focus is on defocus.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"wfe_nm_rms = wvl/14*1e3 # nm, 3/4 of a wave, 1e3 = um to nm\n",
"opd = zerp4 * wfe_nm_rms\n",
"pup = Wavefront.from_amp_and_phase(aperture, opd, wvl, dx)\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"pup = Wavefront.from_amp_and_phase(aperture, zerp4, wvl, dx)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# pup.plot2d # find out later how to plot the pupil"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get the incoherent psf via the pupil wavefunction and intensity method\n",
"We use the prysm.propagation.focus(wavefunction, Q, norm=None) which propagates a pupil plane to a PSF plane (performs a “pupil” to “psf” plane propgation)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x7f0504aded60>)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"psf = pup.focus(efl, Q=1).intensity\n",
"# psf = pup.focus(0.1, Q=2).intensity\n",
"# print(psf.fwhm) # error, 'RichData' object has no attribute 'fwhm' so here psf isn't np ary\n",
"psf_radius = 1.22*wvl*fno # 1.22 lambda / 2NA; 0.633um, f/# 4\n",
"psf.plot2d(xlim=psf_radius*10, log=True, cmap='gray',\n",
" clim=(10,1e9), interpolation='bilinear')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"256\n",
"2644887565.947786\n",
"8.442348866016568e-06\n"
]
}
],
"source": [
"print(np.max(psf.data.shape)) # \n",
"print(np.max(psf.data))\n",
"print(np.min(psf.data))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### now onto the MTF\n",
"\n",
"mtf_from_psf returns a container holding the MTF, ready for plotting or slicing, return type: RichData (from [doc](https://prysm.readthedocs.io/en/latest/api/otf.html?highlight=mtf_from_psf#prysm.otf.mtf_from_psf))\n",
"\n",
"For plotting we'll take inspiration from prysm.mtf_utils.plot_mtf_vs_field, see [here](https://prysm.readthedocs.io/en/latest/api/mtf_utils.html?highlight=mtf_from_psf#prysm.mtf_utils.plot_mtf_vs_field)\n",
"\n",
"(data_dict, fig=None, ax=None, labels=('MTF', 'Freq [lp/mm]', 'Field [mm]', 'Az'), palette=None)\n",
"\n",
" Plot MTF vs Field.\n",
"Note: plot_mtf_vs_field() has been rewritten, and now requires seaborn as a dependency."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"mtf = mtf_from_psf(psf)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[Text(0, 0.5, 'MTF'), Text(0.5, 0, 'Spatial frequency, cy/mm')]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fx, _ = mtf.slices().x\n",
"fig, ax = mtf.slices().plot(['x', 'y'], xlim=(0,200))\n",
"# difflim = diffraction_limited_mtf(fno, wvl, fx)\n",
"\n",
"# ax.plot(fx, difflim, ls=':', c='k', alpha=0.75, zorder=1)\n",
"ax.set(xlabel='Spatial frequency, cy/mm', ylabel='MTF')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### note on the MTF above\n",
"\n",
"well... maybe not what I expected."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f05048b27f0>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from prysm.convolution import conv\n",
"blurred = conv(source_img,psf.data)\n",
"# blurred /= 500000 # arbitrary normalization to get the Siemens Star about the right brightness\n",
"\n",
"plt.imshow(blurred,cmap='gray')\n",
"# blurred.show(fig=fig, ax=axs[3], show_colorbar=False)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"print(np.max(blurred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### defocus sweep\n",
"\n",
"This part is a work in progress and largely in the state of a pre-draft. It is directly derived from [this issue](https://github.com/brandondube/prysm/issues/38)."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(1, 1), (1, -1), (2, 0), (2, -2), (2, 2), (3, -1), (3, 1), (3, -3), (3, 3), (4, 0), (4, 2), (4, -2), (4, 4), (4, -4), (5, 1), (5, -1), (5, 3), (5, -3), (5, 5), (5, -5), (6, 0), (6, -2), (6, 2)]\n",
"9\n"
]
}
],
"source": [
"nms = [noll_to_nm(j) for j in range(2,25)] # tilt to some higher order thing\n",
"idefocus = nms.index((4,0))\n",
"print(nms)\n",
"print(idefocus)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"from prysm.polynomials import zernike_nm_sequence,sum_of_2d_modes"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.42301346 0.41508046 0.66978112 0.95633329 0.55233169 0.33808571\n",
" 0.60958757 0.10080179 0.30801088 0.88456303 0.26828812 0.59723076\n",
" 0.98516996 0.33695395 0.1116734 0.30096843 0.98335566 0.32914982\n",
" 0.63371549 0.66748027 0.86445269 0.94913953 0.70886134]\n"
]
}
],
"source": [
"basis_set = list(zernike_nm_sequence(nms, r, t))\n",
"coefs = np.random.rand(len(nms))\n",
"c2 = coefs.copy()\n",
"# nominal\n",
"phs = sum_of_2d_modes(basis_set, coefs)\n",
"print(coefs)\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### pupil from the nominal phase"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x7f05048815e0>)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pup = Wavefront.from_amp_and_phase(aperture, phs, wvl, dx)\n",
"psf = pup.focus(efl, Q=1).intensity\n",
"psf_radius = 1.22*wvl*fno # 1.22 lambda / 2NA; 0.633um, f/# 4\n",
"psf.plot2d(xlim=psf_radius*30, log=True, cmap='gray',\n",
" clim=(10,1e9), interpolation='bilinear')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f04fee5b430>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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1YNTUO1l0An87Z9+2bclOUH+fpBg2IpxpIM1ilFNvvMf56/oEayMeECYK10DBTPIS05IRSLqagw3PS3OtNEMhiUWZtLy2ubmZ3d3dbG1tlYmDV398fMz6+nqm02lnUruoh/NDfTFKg4xDMRib+xLvBdMYDodZWVkpDIa+wthhIOgXd3d3GY1Gub6+Ln1MKEMf39zclFDIWZG7u7vPJkhN7XEidYoTz+3QwA7LoMO43t3ddVgA1wGI1oVKtQhqdlPXSvC/bQ6xk+sx04S9WEt5T/swwJAsctTOeVvpN7qaUhpMnKZzSavV/2TBOOq8u2NH3qtFH4Q2XnMK0+wCICNzMJvNOudeXV0t1801exJyL6urq0WDIda+v7/P3d1d5vN5WW/wmi7BNVnIenx8LB58bW0ta2trnSXu9oKub6AZWB3K1XQVERcgWFlZKT8ANOehb0yFrbs47bm2tpaNjY2SqZjNZrm5uSnsgd9Jd7k8GoVZKR7eZdPWgswC60yYbdYhL3ZERaltBpZnwGGPDliB9So+Sz2Il+lzj7xmcECHIrtnRvyW9iGAwUjJZLIngUqZZiULT26x8bX4ngIoDI7B439nM4yuTmWalbi+wDUNAEBdQITxMnieaKPR6DPhcmNjo6j3a2trhYJjIJPJJOfn5+V/x8MOA0gnuq7DgiBxP57brAKDctoScLXWMZvNOmXhfJbJRp8sLS1ldXW1pD3RQpIUfYNrdazOvQACS0tLJUuCToEIent7m9vb20wmk9zc3OTu7i6Pj4+5vb3teNq6IhbH8VqomqSzvsEiJ2zJ7M1jbvB0SvXu7q4cp643ST7f3cvzofb+9C8gUOsajOtPcq0E1L/uVKiShR4bN+GCJ7s9OY34ktcMCh5wTyrTRBuMY1BTTIOaQw4+Y7GJ160fQP9R/7e2top6b9Hv4eGhsIeLi4vSD752sgzz+bxMDoueABA/roiE8sJUrCk4u2JD9K5aptk+tjMRhAKu83BKzxWwTiVynPX19WxsbGR/fz/b29tFwJzNZrm6usrFxUXOz88zmUwynU7T6/Vyd3dXju/MhEPGegI7o+Qw9zXtC8fANVs0rm3dVY12FDgzZ8lqQLJ91nZIP7lmgv78STKG5PMFNHgNx454E4tt8/m8Q5Mt8NnzW5xyVsIGzncMKo5Z6fC64pBrTrqLWhy3vib+8LkkxaPu7e0V1R7m4MlH6DCfz0ven3vhWDVb4DP2IBiwdQNEST6LlmAGBoPiHBwTEKDOBGAilFhbW8vKykrRGbz3gh0CdQ2z2azk3l0Atr6+npWVlayurmZjYyPr6+udY11dXeXq6iq/+MUvCkW3kNrv90vlpLMJjGvtDDzWBkYDB8BQpzwJVxwWufrRdmXG5zADmzOz9ZxhkZkdE80h7XvbhwGGevLR0RQIueKMlFPbtiV2A7FfE1yMvKTmkgVlBpGTdOrYuY7k9XUOHlCaPQV0mnNYsTa7oQ0Gg6ysrGR7eztbW1vZ3NzM6upqJ7OBNyG9N5vNXq2Ftwbhic7kM51fXV3t7GFpMdFip9mbvbRLlAkbhsNhiYnNvgAmsiJMeM4LMLhuwVmZ4XCY8Xic7e3tEiKa1QBC9Cv9ANDgTAyi7jsYlccVG/D4Wo8i1DALMaVP0rlX7ADNwvZvEKmBgJDgtaIuQIH3fC0/WWAwParTO15+DSUm3jZyY1y8zqSrYy8bDAq3xShP4Nc6tKZ9ycKrQNdNg5lkjmMxTCaPN4FJFgVFGLk9FRN0PB5nc3MzT09PZUPZZJGVmc1mub6+LvE1BkX/MGlZC7G6uprHx8fc3Nx0Nk8BANj1aTabdZYRc05Ta/rGDIXaB4cdFvQY57rk2H1HRmM8Hmc8Hpc+AjQRW+/v78sCMAu5OA4zJmzj/v6+o5VYL2Ki1/UlBo/XvLN1Br5jBuYQ2WACaDKWFsYdvtjuLIhyjZ5PNcj8UPsQwGC0Bf2sJ9jbmMqastdAQIrMVPq1tRAeAI7BxHF2xIDBe3X4UAtY/q49DM3xJhP58vKyqO4c14uc+H9jYyNbW1tFfHRZLsaHQn9/f18yEQYQsjZMuNvb26JjAGjD4TB3d3e5u7srzK2uW8C7E7rY09KneHqAyB6O45JeRIE3JU9eGN7m5ma2trbKrtgAA2OK87i/vy+l3oAKadh+/6VKkHu0VgKjSNLZMZwxsj5hQCJEYV2O19aYtWETddjBZ83S+AyOwwK8Qw9skHth3LCBWnN7S/sQwJAsFgjRIRaEMDAjd80Uku4GmNApGp3uPLTRFKNGEGPSN01TvIm9oWNMhyKOE7mvXq9XDLGePAYmCnaurq5yc3NThDXui2PiKdfX13N5eVkKgGhQUvqTHDsT0t4etkCcXhsQYUIttvE5p/CYMF7MQ1hhBrSysvJZPO9rNb1mLFzqzXHW1tY6+gLrLabTaclKeFLgVEajUcfGzEwBJL5nJgCYAtj8NuOrnQN94vvErgFEb0Lr1LgBL1loLYyD+59rdLqd15gP72kfBhiSz7dJpxPwks6VG6kdwzr16M42/aspoQ3TW4KbJVh4tCCFZ7ABmo6ivnNfrjRkcIn/ue6Hh4eSfiO95w0/khTxbTKZFAPDW2HAj4+Pubq6KiIm3p5JSRrQG+PCsLiPZLHIx5PGoGrvTj+6dsSKvdO7Fszwkp5UFkfX19ezublZhEdCBfqNMWAMYTAeS4+Fy7phiDc3N5lOpx1wc7bFcbv7gP6ptQv/5hrsxAyw2HGddXAdj+24Ztg+JiGsdYufLGNIug/LwGjsuQEKBsxpsdfoEjGdvw+4eJBoTu1Aw+h4D5wVayMxnp/Jh1cn7dfr9XJ1dZXJZFIAgnNZwLq7u8t0Os1kMunsh2DgtPe9vr4usbXFUig+FNqeyCmwGly5R7yx+zpZgLLrPpgg/uFYzv7Q/7WIiRbi+JlzU/9AQRZhhJ/TABgBCre3t51dkpz5AGjG43EptqJI6uTkpKQ76709ahZZx+91HO9sGPfu/+uUNbbqMeQ1C9VmCTVIeVMZs42fJGNwzJSkM+HbdrE1mG8Yb8z38A71ZDXl4u86E+EB9WA6X81rZgx1ion7QNRDINza2iox3/X1dcf48DKcA8ZwfX2di4uLsnQab9Hv90t/sO7g8vKyY1iuCaEP7IkdVuFhuV8EOE8q3vPk4n/6jAwFoDCbzTpZFD7HBKG/CB+YyC7Ygaa7fmF7e7ukKOtJBzhwLIeTtq319fVsbW2V1DBi6sXFRba3t3N0dJTRaJTLy8tOuXWSTtrcYItTsR7lQjcA1EyBQjDbmjdqsSPA/rET7M5MzuzL5/Q8eGv7EMCQdB+gglqddNN/GIBjOjrHcZUpWd1hySJNaSpLR3owk3R2fbL3rAGBSYkncnUezKHX6+X8/Lxz3Tc3Nx1aiNcjQ0AoYOEL0PTCJGoauH6uh4lncLVxcSz63v0GgNZl2snnz56oY3JrRmZpboA+aUkAxhWWXB9FTRR+eeOXesOY6XRawMbi53w+L+nZnZ2dHB4eZnd3t2gsBwcHOT09LUzi22+/zfHxcRFw6/L81yYv924nxXU6HIUNAGDJAnQ4lrUEa2us7eDe2GMEu2IcGNf3ZiSSDwQM7kR+8Hw2PoOCNQMLga91JgNYp9GYLE4J0UyhzTD4XQukGxsb2djYyN7eXg4PD0sxDnF1zVKop3DtRNO81Bnc3NyUJcy3t7elWpBzUUy0ubmZnZ2dDoVOuguyVlZWcnV1VVYvbmxsdPoARpKkU1TmFB9CIgCOZmHDZ0Jbo/C+kfQDGgNaC6yF/w301hg2NjZKxgbg4Fz39/eltuPs7CxXV1cdMbtpmqJNbG1tZXt7u9SJrK+vl6wJ6Ws2j/FWf7XI6wY4MGFhBNg1+o/tnVCXe2VVaq1VWU/zd5OU1KbFVAOFQ7b3tA8BDHRKLajYw2AkaAx1qsm0zh1bMwVeS7ohBCyCrdI96fGWHNOFUVwXHnxraytfffVVAQaHGADZ3d1d1tbWsrm5WbwldJBz397eZmtrq0ORrWBDswknrq+vMxqNcnNzU8RIn4/X6DeMi5jUwGyPliwWTZmBGSgs0DokROAbDF4WPrE2A2N2GIHmwrUlixgbPYV75zjuFzQCjgXoGpBWV1dLaMd2dYAFQMO47O3t5ebmppOGBSS5b2sQZqn0IT8WBG171iywdcChZiF8B5Cw4Mi4MU41M3Mo/Nb2IYAheX09gkUVx/XOI9OGw2EZKF73Z1xYYpT9Vd7f6aJkEaO6eg26xvscm1TaeDwurIN7YULgQeoqP64L8PHmp1ag7U1J5SGk2etg1BQpeRLj4Wu6iUrPpKsBwaIW/Uz4AguzxsE5vMyaicR1Wdnn3qg3YI0F92gjh23c3t6WFCXLtm0bgML+/n4ODw+zt7eXjY2NEkZYN0C/QugcjUaltoMl61yDq0SdGqxFYPrVoZxT89xvrQXUorHtj2OQmfHSfH+XfnpP+xDAYKpTswUmCx3vlBDtNQGQ79WN+KsODezprKI7ZqZZjKLuwdfqJxezSxEGUxep4JHwTo4P7Qlns1kpdLLXwHt6/UHtHWBZdSoRw7LYxxg43cWY1PoDY+fxctk01+i0GZ9h+zeKghBAk5S/ERyZ2PzNddM/CJ+wBY4Nq/HCNDav2d7eLhMfMOZ4ZIsMvgY6+tRjQb9ZR2BCwzRqO3SWzBkLM107AwDAIicNluJsWi14vqd9CGDAsOg8x1XJwusZLPhc0kVDF+nY4BG2PCn8OZr/ZuLZCJIFkA0Gg85uSIiFk8kkOzs72djY+CxFmLyAycbGRqHSNzc35XMsyeW+b29vc319naurq7KXgTcqQUOApbCPIhODSeSJzt8YO+lVJh2TujY+Mzgmpj0tjKRmCiykcmgBgDqTgYD49PTU2cxlPB5na2urlIczBpybZdaEUab3TGxCrvF4XJgC+3ICCPQ1IcnV1VWnctCgix3Zybg/al3AukmtNdRL43EgAADgAIj7+Aj12DPAbCCqz/mW9iGAgWbKmizopmkaFBF1lvgtSWfCE9NBTzk+E7oGBce1PhYNb8DEWVlZKWCFt2nbNpPJJOPxOMfHxyUT4QmIyt62bRHUtre3OyhPjPz8/JzLy8sSZyOOoV3QOM7m5mam02lR0O3d7V29iQl9NR6Pc3Jy0mEitbfEGOlPe3lPVPoPQGBtiz0ewOBwxa81TdPJunivScby6empbB5LQRiVk/Tz2tpaJ6Oxs7NTAMEh0fPzc6kQJVV8eXlZ9p+0Y7JYi1CJx2bcCDec9apTpw4h0CxoBmXrP647oa+xfzPZpJu2/kmKj8/PL+WsTgXyOs00raa1yYJm0dxJprb2iBbP6l2QaBbeuEanFo3g8/k819fX+fbbb8tko96Ah5JwPeTTt7e3y2RtmiaXl5dlYoP+AAPLsU0TYQxbW1u5u7vLzc1N8b7WBaClGJ+FTNYcQK2h9hggQEafu8qvTtkitqG1bG5uFg/NmM7n86IJAAQu+PJyb7IvMCQDHd+BITEmHAOdgGsgq8F7TdN0dp6m4vTi4qKsXEX7MBWnWtT9+Pz8/NmuScniCVS2W9iaw0YDC8DoEMNCJfbNZwAexsVahbWt97QPAQwYnSewX6eZ3jpvi3iHmGbj5Rh8Luk+Xdk5fCvFNFJuySI1hDHh3c1UnE//9OlTZ9LU6djBYJDxePyZYXuFIeEFW7MzaR8eHjrlzaurq2Wr+MlkUlT7JJ1FRXUpNpMMcFhdXS2LmfiuQaDX6xUxztkfJtvNzU0RRFkjQdrWyj33yrW5TBwwqneYAnQY39ls1vHqFl0tIrIztbeDM00nZAOsLi8vSz2ExcNer1eYC/dDCMW6DIe1tlN7eDeDBLbJ9WOXFsmTBdPjuIwTDodzWqv4STIGI2mNgvaMr8W8DIzpko/nc9Cs7npgnJOvY3C8JkLh9fV1mcw18Dw8POT8/LxzzVbmvax5bW2tDCp0HwO36EeZ9Pn5eTFOp1Kh7aTgEOG8sSqhBAwFMZN+9tJoF5jBWugb+oTrA/i8fJsNbL2/I0DGpPQkdxjp0MkrMgF97osaD348/pyPKsd6bwvOC2BeXV2V1a3X19edDIlTiVzb1tZWARnAhPuqWa9tuM4KWXC0Y/Oc5+IAACAASURBVHJmgfMDaJ7wgKV1BoNJLWC+tX0IYKBZeCF2SxbIa2/OZ5lE7jR/zt7RE5/J7053UQjAQBiAF5zP57m6usrp6WmSRYhDWIF3vbu7y2QyKcyA/D0GzjX6yUyUQkP7iG2hqQADHphiIZgSyv36+nqur687kwChk4nAakf6uhZkbUgYobMR9I/ZnfsY8ADg/Z6FRwCW76MLeCUlqUoAzEIyxzIFB4C3t7ezu7ub3d3dIsyaMeDpp9NpWa+BZpGk6FSkAa157OzsZGtrq4R/iIi+tpqZYcsWAwEIOxiDZz0G/r7BJumGF5zLwuh72ocBBncCQODOqUHBRgzVdyqQ4xgt0RK841HNJKyqu+IODzEYDHJ1dVVi1V6vl5ubm07sRygwGAwynU7L/gko4S5EaZom6+vreXx8zNbWVjY2NjpLnTFSmMrl5WUuLi7K8eydobjekYm+w1AR2AAIroV7tpiK6v309LL+gDCmNlo8vmsQzLr4Gy9NH+Hx+R5C52g06tSCsGmssyFUh7KWgfdgZ5ubm9nc3CzhFUAKSyJEg1GdnZ1lMpmUMJHiL465vLzcWfuyt7eXvb29JMnW1lZhn0tLSzk/Py+MA92AUBI7dN8xwe3caM4q0QfYPJ+n0Y+EIa6beW/7CwFD0zQ/T3KVZJ7kqW3bf7dpmp0k/zDJ7yf5eZI/bNv24geO82pnsMNR/Tm8O96Y71hXYKLW9JVjQN2T7lOD+Yw91tbWVufZjUxi0nvn5+dFOLPGcXt7W4yFGB6RlPhxdXU18/k8m5ubmc/n2dvb6whypHGZ1JeXl9nY2CjgZNEUw8fD4sloPJZuY2MjSXcZsMWwJB0GBGtxFsEG65oEJhQMhowCYGXRGEDhnLAMgIEwgLJyPouGQ+kztRBt+7LV3+bmZnmozebmZukPwJNrJpPBgrbLy8uSLuWeKaiiZHpjY6PUQlCazT1SAm2hl5JqmIdZKn2VLBiBdSFrBYwD9uuiqVqMR+uy3lCL6j/UfhuM4d9v2/ZU//9Rkn/Wtu0fN03zR9///7d/3QGMmEm3LsG0C2+AkUK7XDVmz2Hvb/GPVXxmI+4403J7ns3NzVKH7rLh0WiUyWTSWTrMNbRtW2LYo6OjNE2Tw8PDsoSYayOm3tvbKzl18ulJOgyCWJjFPr4fxD5y9wizySJTg34BIDIJAIPRaFSWas9ms7L7EboFY0SIww/hwfPzc/HMsACAq6a9HKvOHK2srBSxkJjamgCUH70BL0nNw+7ubvHqGxsbZdICsNQrIF5eX18XUGiapqy4JAxcWVkpi+IQMqnNIDSklgV2dXFxUcbOmhE2Z5DAAdA3FhXpH4MAxwRgrUtZe/CCwfe0HyOU+IMkf/X7v/9ekn+eHwCGJB3aZi9iL19X6NEwcmJlOsKg4vi4bnT8w8NDUZt5zNve3l6JVTEWAIrc/Gg0yunpadmunHQhg3N3d5eLi4ti9OPxuGyH7hh9NBoVYEAMI7vgWgQq/EztAUFnBIbDYRHloLPE1qREuUY8mvc6cE7ek5978zU5bQittoCLIf8qlZzx9d4L7h9SnNPptOxwRR/M5/OitwDmePXNzc3yUF97ccD64uKisA4LjvWeGtSb7OzsFEB2mhFnAKCz36b3yEi6VYv0AWFBsnhSmd93/YizdktLS2X7uddeczr5ve0vCgxtkv+1aZo2yX/ftu2fJDls2/a779//lOTwtS82TfOzJD9LUsQzq6363Gfg8Pz83FnvAELyuy5WAs0d89JpjplrOgcFRR1nYuFF8K4bGxsZj8c5OjrKyspKqcQDbJJF/DcajTqpM0AmWWglxLF4RTwRRnF9fV1ESAuj3Kuf/2jNALGN8mun4VylSB+ib3QGXIq6axtcQ8C48Pk6fPMOS9yTU4tsC89jASj+4tpJ397e3paMFAwJug/L8/oKQBFQOD8/z8XFRekPJiRghs4BIFBG7WXfZjoAK58hvHA/0m/OtDlVz3hY5K01HIdeHj/Gxvt32Gm+p/1FgeHfa9v2l03THCT535qm+X/8Ztu27feg8Vn7HkT+JElGo1Hrgoy6QixZ0H2zgn6/31nOipEaQV2hxndNpfkexovXsIhIJsEFPNBdFufANBzXIYxxfRjjd999V9R2p/8AxvX19RweHnbSjABh27a5vr7OZDIp3r3X62V3d7cYCGXE6+vrpYrSIQ4qPrsp0zfQbYddntRQ03rvBv8Asl4YxfG9poHsC8DJedBIuJYkHVADFGALTbN4rB/rIZjArK1IUu735uYmk8kkp6enubi4KOBLaMr9oVWwrB2NyfUYyYKtUgvhRxOgTdjZGVhpeHjslHmguVLmAJ95LUS2E3X2wmH6W9tfCBjatv3l97+Pm6b5x0n+cpKjpmm+btv2u6Zpvk5y/JZjESPV+VcEvaQroPA5JgypPViFPZ/r0c0qXOTC6xyL9QmTySS7u7slTnU1YE3Dk8VDSxiM6+vrci9QzbOzs4zH4wyHwxweHhbqym/ABrHR3p0+YicoHnk/m806ALO+vp61tbVirAiH3k+SNCG6Dd4O5uDdor8f507ZM5qFK+4MJq95PcqW0SdcPEUI4yXWgM/19XUZE1KcTEK0BQqZqHR0dSJ1D1dXVzk7OytsgaKvZFGoZfZxeHiYw8PDImLaNrFBQpzpdFp2fSLcYi2DWZQL0+oyaPrLwIHj4jrNAgEypzo9Rxx6vKf9xsDQNM1akl7btlff//0fJvk7Sf5pkr+R5I+///1P3nrM10RDC1M0U39YAJPfAlbnRququZp5GFEfHx8LXe/3+51NSGvAgX1wDMRJKCtZDJCdWoVPnz51ahrW19cLqCGotm2bq6urMgnsnbzoiLQfkxHvv7a2Vp5mzeS/vb3N6urqZwuOWE5sdR0wZRIAgjAHrs3vA7DOSnA/fIbv1OdHOCSDQX9cX1+nbduyGQuhmoGUiYxo6U1SYBvn5+dlWz1AgWtgsnI8hEt2eAIwzBSwRYBhMpkU4AKokwV7eC3taHbrSczne71eZ8Ec4+ssW12xa2dXp/bf2v4ijOEwyT/+/oSDJP9j27b/c9M0f5bkHzVN8zeT/Mskf/jWA3qyeq2Dc+BeO+/Qge8nC83C6OnQAYrlwXEtfq/3UhByeXmZ5eXlfPr0qVB0VwA6bBkOh9nd3S35darxKCzCy6BW27Bcu0/8iiGyBsICX7JYRASFXV9f72RzPGHYwKXOTjhUIjZlh6fT09NiYA7BXGBEXzLZGS9EO9KM9KvP7R2S6D9fr9O+SUoYQN+SHgbIyBrt7u6Wug4yUJSTn5+fF7bAU7roK8BzZWWlHGdvb6/oOKRucTowEICK8OT4+DjX19ef7QlBP8BK6Q87AfrC/QXLwGG4EtXX7iyGsxAc519bgVPbtv8iyb/zyutnSf7ab3JM0N0MgQlV1y/wXrJI6VhcTNJBSh/vNSCpF2ExiS8vL4uQBM12TIf45bjUtN1e0q9jZIiR0Gjy7NQ4jMfjzp4M0FSukbCnFtoQRh2vW7lm4lnIchjg0m1negyKSUp87zEESLylG3E5jMdpPTyx8/CEY4R2znrYYZBBQlMAVBgb2NRkMsnFxUVOT087IMnYedEVIIOoTF/RXAcxnU5zcXGR4+PjzlO2HXIxVg4HoP3OUPyqjI0B0szZIW3dzKqtc721fZjKRxuHa+et2mIIdec5LWOBkO8ki4HwceoiKAzXwEMBjBfzJItVdXwfA2M/RbwAE4NNYF28REx6dHRUDBMPgsff3t7O09NTptNpqWnA05Kt4Gc8Hufx8bGIkoQTTPKbm5tyX94j8vb2tkxi7t3pXvoMFlPft2tJGEuaPSAiIloBGRfvZenjMJG8bRtemHNal/Dj6mCI9DNM4bUMBBkiakl2d3dLLQhjYZZF3yEmn52dFY2B8Iv+MvA6FLOj89ZxFnEZK4e/btit2QLzxXPkvaCQfCBgsPEtLS2V/LuRlc4FNDzxk+5GnPV3MCTeQ5hiEPFOeESr+FdXV0nSAam7u7vO06gtYG1ubpZjJIudpqfTaZLFYDttBuMYDAbl+6wbgA67HBjxDg+Fsu6KOD9yHnrtQiSO5clJMY9X9nE8i3POqTuTkSwmbZ2ytAjn8mWPlReIQa95EAyViYwBi6QQWmF0z8/PBXTOz8+LN0fI5Z7pc9ZmkCpFo6jrKAxsPO2Kv9mZ2syV8MtlyTw4CTBwFsxtMBi8uj9D7RhJn9f9zd9myO9pHwIYQFJP1uXl5QIOGB+dS4xLp9Ds5TAugMOTw4aMwUL/XIwDYFgwxAMdHBzk66+/zv7+fieHDPiMx+MONfb6B2/9dnNzUxgJ6TXXFLA13P7+fvGeLkP2GoqdnZ0O5Sf2RuWn+IXQxpvDOP3ltRwOBWxgCJAAhr/jakFnBhBKKZYCiLlP9AUM3V4fZmPxE8pPzYLZ4nw+LxOWcufLy8vPKD6hBwVMAA2AioaTLFbNUnmK0FgvZ4cxESrW/UMV6dnZWfme+9c6gfWdJB0AwPat7WBjgPdv2j4EMDBBMVBSZS64SRaeFtEs6SImBuxCJKc/idtdXUchDxVwlMU6dQQjIIZ0CS2xKjsDGRzW1tayu7tbBtVUHVWdFOb5+XkpZ6ZoKlkYLvfP3gXevRiKDUVH1V9ZWcnDw0OJlXmGhQu5oKl4YPqa1ZdevYrXBHiSRX2JgRRW4QVrfBd2wzEImchIsJkKYOql4jAlhEpAz+AHKJhpUBjl52LS12zkwnbyBoa2bYvI6RQ2DOTx8bEwBWeU6Bfuzes9kpfqxrOzs7IaE2ZEPQOs1in0ZLGzN0DCuDnNz+eYQw6/39M+BDAkixiM5lQizbGXP4MxWBhkoBDqoI3j8Tjb29vZ398vax8eHh5yenqaT58+5fz8vKT4aC4QQggzlSf+3NnZKcuDMQJW3nH9/HZIRNHPdDrN6elp2YaeTMVgMMj6+nqenp46gORt4a+ursoCqbu7u8+WYwMWnqQuqaafMDrXVTA+DrP47XSYs0H1A3SZ5ICDMwquLvX3XOAFAJPx8KpXJp5TiRSBUVeA4s9EARhYV+GiKIcAsFlCvtPT08Ia0IpgPvSVQxRvVU+4dnd3Vx6s2zRNTk9PO+Ii1+jsg7U325LZLyEW84FxA7Tf0z4MMNTIx80a6Vy7v7KykmSxnt1oyfFAYGgtT4nigTB4p/l8XkQ6KCT00GlBrvHh4SHT6bRkGByy1G0wGBRRkM8TDtQi4mQyKZ6WghpPutXV1ezv73dSd1dXVyWX7mcqwJgABuowOH+dKcG4McqkW21qluGwj4nvjIZFYI7l5d4uDoLZIB4CXmgnhBEIhjAZ0opMaEIP6kfYgclioycuayr29/dLrQJMoRZn/SxRr62AscGSsAFKus1EKLgi1en0uJd6WzdzSpP33edO4/O/tRyP5U8WGBzT0qBR3DAdYEM1hTVqJt1nXEJVKZmFttar6DY2NvKLX/yieBrUcIcD0DjYAq/jaZ6fn8uSaK5jbW2teE62AZtMJklewoper1eeQUn8zPdJQbJIaHt7u1O9CIMBKG5vbwvQDQaDDt02wzE9N0Wl/wAG2BPfAUTwpl54hPEjJFJmbmDAo5EJcCEUKj0LyUgJUiSGQAtbGI/HJaZ/fn4uhUwAA6DiMBVNgYpWwkqyToi9AMLV1VUuLy/LMzENCtZYXLW6sbFRNnMB9Ah5k4UICfggaDuNSt8l6dSNONRlvFi8hmOs9QU/5uAt7UMBg0UWNgqxobryjGZlvKauxFpQu9XV1UIbvWEHhgYwbGxs5Pj4OEdHRzk9PS37IhiUoN6z2Synp6eduNu5aqf3+C6TMFmo3QDgdDotYhyLiObzedbX15OkEw5dXFwUhnB/f1/KhqfTaTY2NvL4+FhCAu+yDDB5/cHGxkZnktOn1jcAXdb6e6ciZ32YKPyNUcO86Ee8PzqKU3cUDl1cXBRdg37x4+oc3lgHQByEoZg9sf6BLd+wEcYDwGNTHFgCx+eBvbAb+pX0MOEJuhOit8NHwH9nZ6fz/FLbD33klbFJ97knDhvsVM20m6b56e7gBANwMY1rD6BHnnyOn0BRqB1GjD4AFfcTm1xMlKTU26N2I071+/3iOZgMDnO8gxOMAQ+CwVFbwP3AfvBAUN62bXN+fl6uxUVaXPvT01NhQF6C7eXat7e3RamH3q+trZXJQozsRU0WzjgnVJVYH+PEqyPq8TqTxHoG42DaixbB6kUYEqlGBEO8NMLx2tpaWQ/B0nKYAgzDdJ9zuaqTp1w7DCFbQFrZbIW9NugD6y2wEBwKVZNkSryGhsmJrSNMug8dBsDK6oK/XwUAvOcsB+P4WhHUr2sfBhho3ul3Pp93nlHoycdvqCtezqLhfD4vMaP3FbRegLEyYWEX9SamR0dHSVJqGhgEjsXr5NEZTNJLeNDB4GUVINeDF0UnoKT6u+++KxOa78I+vKqTCcB9kUpjIxeMy9726uqqpGHJxQOaGBPnhn31+/0SWkG5X6tG7Pf7BQShwoQ7TAD6HuHRj7VHe/EzIki/kX7d3t4utQaADtkOQI7Fa9BrJu729nb29vaKhuN9GjgvoMBmLh4bZ28QeBEt2beDEAenQLMTc8raO29xT3Z0LtizrfMZ18x4HPis2chb24cBhjr9xWR1njdZxE4ovHWKiMbExWihgQh89hSmeMlCVUZQgvICEN4LwGIRE47j8Pvg4KCAQ6/38hwI9gu0F+V6kxcWcnp6WsDJINXr9Yq4BcUlreeKPAqlEFTpK4urTgne398XXYLPQ/0BZ4zW1aGMiZ8zyd/z+bxQZSagJ7oXptFnpGCdXoTxWTvhO8Tp6AquGWHiGhjw5hYa+T4hCMdBW+BaXOaNCEp2w+EJoRuOAxu2fgIo0//cO7bOa7ZpmhkADDtZaBDJIrTo9/s/3VDC8Smen3i3Ljgin+vUpA0Iz5y8dA7GT4UhXpE1Cnhll0Yzgb/55puSSoOKHh8f5+zsrCz/ZcJg0EdHR4WlMLjs/ONYHC/vMt/JZFImG+IkngJhkpQeXoq4mgzH1dVV1tfXiwgJODCpAC+AwWlP9yX957GBuXBMwNOpZTOdpPuUJxhADb70IQIqqz8fHh46bAd6jl0wqVkNe3l5WcCn1+t1Nm/Z398v4wBDAfDYZYt9JFmTAkvivrhvbIHje3cnr9cw7YfVcB40DLInLln3oj9ec40DbOO19CUMgpDFxVdvbR8GGJJFx1toSbqiCtTICi+I/FrFIzSKkmIMgfQeyjTGbvYAyPBMgtFoVLSH4XBYVtURCvDjAhbEtN///d8vtA+PxzbkSTrA5Gq66XRaRFHOi5jYtm1Ha0CvIAWGyMikZmKNx+NcX1+X66a+AI9OP9P3xNHe4Rp9xhWkZk8YpKs0XbJdb44LvbZwCFCht9jT433RAxgL2AnAjhCIGEgIYpGbVDF1D+5/rsFpWK7DBVlkHgx02C3jcX19nbOzs5ycnOTk5KRsB4i+5CdfJYusnI+F3fMZT34DBXb+mxQ3JR8EGJxudMrSpbF0kGkZrRZg/F0Q1iXA3jfx9vY2BwcHJWSA5vpYlP7u7u52VuIdHx+XsmbKfInJodA8D9LZE65taWmpVEbCcJqmydHRUTHYtm1zcXFRaCsqPloD4hWpOTwLzOHu7q4sCKKohxCkDg8eHx+zvr5eVoxy36amsBb6p36PcYExee+Ip6fFEnMvLXecDPth41nCEoQ9VxAChNPpNCcnJ0XDAHwRGnm6tVOGXB/PCDk5OSmLrLzuhLCKPqcP0RLIaiCOOiTCiaGvnJ+f5+joqGS7vIMUwiPjByB7WzgLiswLh0z8/dqY/CTFRzygxSqa87qgYh230UBPOg8G4d2bLIYRS3oHZB4iwmTGcEn9kZe2oVINx4TE8KhUhAm5Xn5ra6vsB7izs1OMCNqNseD5j4+Py54QgAOTl7oGMg0wHmj2bDYr7McCHtQdj0YcivEjSlrlZpyY9IyfU5bJYtdjV2tiuEtLS4WFwYCoiKSwKenuno1GQFqTIrOjo6OybyN9Rh+xdyZe3Ws3vOqS8IF9FFg5y7iRpeIY9A/shT4hfKhL1WE0Z2dnOT4+zvHxcUk1e6drwjTX4WAzNZPz3KmBuq7p8Wazb20fAhjwstQWJIuFJBh5TacsuBDfY5TOSdtQoVV4U6rkQPSHh4d888032d/fL9SR8IMBeH5+7jzB2RuYHh8fdwphkhcBicU7BgY0DkqVk4VwhPdYWloq3pP1FBRomYpvbm7m66+/LowF5oA67w1jYR1ra2udnLxrQFDKOcf9/X1nHQUsw8YG3bbm0zSL9Q6EOE7jOrfPpieAG8zKpc9kWACF8/PznJ+fl3QiFZleR+GFWa4TuLu7KxurUKvixwO6CpaCJdZVOKxyQREOgfuFeZydneXo6KhcK+EPY02f2+Zgu4ijZOdo2KN3EbdWBTDw3k8SGJLXH6lunSFZaA1QI7xSkk4M6FJcDNgGC/vwwED5GMy7u7vi1V8Lc0ajUXZ3d0tNPB7w6Ogox8fHnWXNhAVHR0eFIjIZEcJ4GrQH2SwiSYlTp9Npyft7oQ5bzwO07CWB8MjnXYlnPQZjRBj05jGmqsmCJTBWLkJjZR8T3toCYGrmgVd1QRLH8rXDbFhN6j0W+LzFRthdvcITIfrk5KTspeAwBGZGv3I8ftv+mIBeN0O2gWOenZ3l4uKiLL6DwdGP2L6FdxwaDgK790R3vUmdvagLnMys39I+DDC44g66j9EymTFAGAMd5Hww9e7WJlz45Bp/3sewECSn02kODw+zv7+fvb29snLP55/P553HntVLuqncM8pfXl52wpTHx8eiZlO8tL+/n6ZpOqXKTdN0im9OTk46k4v1Bmwth17gJdl+IhTfJbwgVQlIJl3dxzG5d4+qS6eTrraDtzNoEBpw7fP5vDznkzL0p6en8jm0gboYDICknJgMBGXvBwcHpY4DoAQYJpNJEQAvLi4+W6TlcmtqJmAfjLGZLGK2C7MIU9FMeN6EMybD4bCEEIStXkTGOLox3nacNTCzetUs4b0C5IcBhmQxWV2Pj4E6T8tkM5XzeggqBim+8fp/4rU6FeS9FJlMeDHUbApxMH6ub3Nzs5PyXFlZydnZWYbDYS4vLzsrMv2sh7u7uxwcHGQ+n2d/f78TGuzt7X2WsiLkOT097eTx8f4bGxtl+TVgR12DNzJJXiaAF4zh3WA5MC0DoQu3DAD2sowVQIFx8x3AiaXV3pORTAR1GoRNxO5kUKhGRJiD4WxtbZWUpB9574VqrGAlTejdxdETAIadnZ3s7e11HiC8vLzcEVMpEsOpoFUAWgAGoOrqXnQM2CEZo+RlshPuEkI5PHAzA+W7rpQkNH1P+xDAwE27egsjtCHTqIJ0BZ13GQYcyD74ISXUnXNejJUOZCApRGFPv52dnVJG6ywCg8YiqZqKj0ajnJ+fFzGK+gSWSrtMdn9/v8TE+/v7SRZhU7/fL1rF9fV1vvvuu+IFvBUZ6wBQwWEN0+k029vbZZ8LwoTl5eViOH4EnZdPc914R/Qgzu+6BY7JpDcDQUyknoJJCxtwQRLhmTdMmc1mhVmwsMqgQAYCkRI2RJ0DGQg8OHUVTCIWm7lYiWpQ+otwCi2HzWCskfA/YZFpvIvq6GMeuougmbxMblb+Em7Rj1wDtldP/OFwWOYQn39v+xDAYLRjsmKEdJ5rxKFbdHKv1yvGBI3c3d0tHoaJgZegWtA5XjrZ4QXe9/j4ONvb2/nqq6/y1VdfFbqfpDx/klTceDwuwhCxPIaNWg3NxCN4afFXX31V7oNJZlBE6ea5iCjS5PtZKEYszROcKZWm4Imlxy5TRlQEiOhTVn16spt1UQYOa2PXKfqTCYzxOw06n887GRGXCHspM2OB4MjCNhzC7u5uvv7667L+AZAHIGEJhCpmG7727e3tsvqWrBNgT/8Q0jCOAAJ2BVMgbLB2U7MsNCpvUbe0tJTZbJalpaUi2l5eXpZ+t0jpcSBswlkyh8j6vad9CGBIujslYZwYCfGSF68kKShOVRxsAbQnhuPBLRsbGx2AcOls0lXbUZdJtyGMeenw4eHL0/eIlRkUMhZeb9Hv93N0dFQKWpi03sORPvj666+L9/B9DwaD/PKXvyyhCeKid0uCqbDsl4kH5b27uyv6AsKe957g/rzhzGAwKLGwr4VxqOsw+CEtjNe0oEmOHuC2ZlOvLGUFqKs7KWCipgDWhEjJ+CFSHh8flwwP9wFYUWzGAij6jl20HOLCIqmUxJZIdbq8GS3ALIoUM+f0lnYI2ABDr9frZEsoSnPJvauDYVw4PM5pAfut7UMAA97KKjle19qCgcFGi3emIg30ZSXi8/NzeUoR+gE7NTHBXDXID9qDxSs8O17Hg+nMhZ9tYC84HA7LMxvQApz6QxBkoc/KykoJXyia4ppQ112fACBRLu3NYEjxMfn8+HYXaT08PBRPyTUxkbgf/h8Oh8WIXSfgsTWwM2b0NzsgcR5ER5gNIYRDvKZpStETz39wRSNgw+PtT05OSkEX94TWgQPhb2/vRs2El1t7v0fYgrUsr75FEAWwbQf0v1klbAGgvb+/z+bmZjlf8vqu0Z4zgAI2TPtJAkOy2KIqWdBy06+kW9xBJ9SdzdOI7K1B7c3NzZLDhmLiURh4WEJd9ENdAKHG/f19JpNJ0R3IdZMRYX0Dk9Vx6vLyciaTSQaDQUd34D4JO6iZgPazISyaDOp327bl3u1JHx4esrOzU9RyaiHq0up6zYCN2/oBxkeZsONbF0GRTalXXTJWUGKui5DRxUwskgM8qMlg2TNrFdiJi0I0QOT09DRnZ2c5PT0tu0tjZy5+IvRA2/D+EGYrMJbj4+OS3qRPuU+Kt1xtiE6C84KlkT1jfJ1mhxUAVicnJyXkodXgwHi4JNoO7t3z8d3f+BEa3sQhBA3KW9c01O8z6bw9GAZKd4KbEwAAIABJREFUPAfQ8KyG/f39DtX0klsv+EGwpNZhMpkUDzyZTHJwcFAoc137wLV4vcFoNCqsAdYym81ycnLSUfEpw8aI9vb2iqf1GgQq646OjtI0TXZ3dzMYDMrDagBEahtubm7K6lIAFC+OkeO18Ha8RpjlLevJJAAU3oKPGNvpVYudxPz2oIAC4IKXpviJ520cHh4WR4C6z5icnp6WlbBcD5Oe7f2++eabbG1tdWwJgXE6nRa24G3+z87OyvgT33M/eG5skfCWHaJcgQlwABpMZKouqVhEbzo7OyuVsqTyASKHEzQzh58sMDgFg/FYXHS8RhxlT+RSYZR0d5JBB4PHCNElDg8Pc3FxkcvLyxwfHxc24bJraCyKNOIOyjce3BWNTDqMwQo0aU3ON5vN8t1335Xdp5z5gAWRxnTtAd5sMpl0QITqSiYgoYKfXOU+p+HNAYXRaFQU9tvb2/R6i4cJE9bgsWFygBtGSV/Ql0xicu5cB96TUA19h0pBYnFEQiYVgE1lITUKhKiuhtzd3c3BwUFJEXsNjkuZDV4sgOI9ADpZLDRjnJjQpLj39/cLOJDSrusM6H8cEdcEO6KOwg/dob9h18wVWJ0rad/bPgQwOFYCDJxq8eYtxLBQU1feMWDQTShwks+YiFdoUsW4u7ubyWSSra2tHB0d5dOnT51CJQzWRT94MVYFEsezCzVKMwPozVZI3WEUFxcXZeJ+++23nco2jIuNZV2bgWebTCalXJuUoveIJEwgBocyozkwSaGpzhQBRoiX3Ds5eDxgXRGI4s89EqpxPabMpAvJKFjpR9RltSTZoCRl3wQERkqksYvR6OUxgNQ4AA5ra2udhUdmQaylIN1L/1KP4nJ7Sq7pexdn8dwLQkyPqUM4rgM7BohhI7AQ2DMZriSFObhRx0M27yepMTB4rmbE61hUIWsBzQQRXXPgUILYlU51vbzRFa8I0iNgbm1tffYgVGcuAC4mG6r0eDzOZDLJ4eFh8U7szANA7OzsdFYXMqnOz88Llf306VOSlGKaw8PDAijb29uFwi8tLZXJMJlMiueFuWxvbxfjZknxdDrteCIERAwXXabO2uDRUMyZIICQU5EYJayOMb2/v8/5+XkJ0WB8pASJ6dEV2PqdDAQaSZJyz6xD8BO4+/2XpeY8uXp/fz8HBwedsAYNybtSwxIoTvNDhZ3O5d78vEuOjdhNn2BzNHtx78nB4j5qLWBVsDJ2R7eukSz25OQ8ft8g9tb2YYDBVN+0yItT6Bw8ATSehUp0POscWP3mLcvqUl+fAxWazWL39vY68epkMimCE8AEqhN3U7g0mUw6NQosBvJDZzc2NjppMzzO5eVlmUDHx8flOPf39wVkuD7uI0kJZyaTSadCkwIg2A2ZFdKSMBeX37oc21oNY0RVppmFqx1hb85GuHoRBkboB6CQXiUsI73I1vmED0k69Sk81h4QRUzc2trKV199VZgGAjEOxbs/eck344bg7KIiQAVgR8hE78DReGMcbJjQ1KXanANAqveZ9A5SnH9paakAc12VWpdSm6W8tX0IYEi6aS2vWHPxU5JS4MF3oKUwhKurq+KxeRDJ5uZm2ZeAFYPWDkx9HbOhBRwcHBSQQAij5JV0I+Jk27adjV1vb29zdnZWjuOKOhY0wVo4n5+1iNeCWj4+PhY6TCk2VJHsCjs/QV0BSDZoMbthzwMyOC73BUTJYJAh8roI+o7xglG56AYKnKTEvFwbhUWwE8IcmEKSTiqRNCoenqyDy6mh8kxY1rugqQBalC8ThrCLEs7Gy/XRVSxyEyZSEIXOVbMkh2SkmZPFojjCJT8Pk3G33uH1RNhpksJkXKBXL6L6SZZEJ4syZ+I1K+Pu2KT7CHGQF2Pv9Xq5urrKaDQqSi5pKUQrFGKn46hOJN5E5FxeXi4r60hRXl1dlfCCVBh0k+u+v78vlXbs42ARkBp8qCieG4P79ttvk6QAEBOSiXtwcNCptORav/vuu0JFqaeArsNaLF7yzAwmqSs0XWzG8msoPIBhmoquYfGMviXr4RAjSQnhkhThj1ge1Z5t2QA4+ttbuXG9xPR7e3tFRwB4CB1YTMXWauyk5AfbMNEQCgG32iZIV7M+BweRLNbgYLem9oRKXobtNGj9dG83mBcMy07Jojthdy10vqV9GGBIFiIXjMEq969DPehusli0Q4HL8vJyjo6OCtXjKVSz2azs2cdmJFBFi6AwC6rgtra2MpvN8tVXX+X09PTVJxQxuAhHUFzX5RPuQHcp2EFBx4N/9913ZWkxjMHCFGsDMNpkUXOBR3UWhPUSyeLpUC69pvwcz87EJsx6fn4um7zi5QEmJh5jgOFatzDNRdNh3KizYD+JlZWVskaFQiQ0CBZDMZEBkc3NzZJxMLWnJgKPzERkOTSiI4AEqMLk/FAcwApmQrbDwi1jxbgDlpTEA0KcH/shZIYxzefzEhbWk5v5UDM2sxz3+3vahwIGbghKyA3XiqozEzUa8reNnxiNBS8XFxdF5QcwqH5zjtmsgfQchoK3IKxAAIP+QwUx5Ovr6yQp+xT6iVg3NzeFyUC5OTfxKotzWEiFofT7/Xz99ddZXV0tu1HDfG5ubgoTcPENegKiLcLfyspKmRze2ixZ7D+IV3L9v1dWAsoOAwAQg0iS8pxIQgj6EhWeBU2rq6uFhTGJrq+vO6EfmgLZB4TAwWDQ2ez28vIyp6enZd0FoYPDH/qdrfO816Q1G8Cb1xlv0rhsYU8tBvoFIrAFT4cwzAUak9oaDrbktRsGZYd7Tu+/tf0gMDRN83eT/KdJjtu2/be/f20nyT9M8vtJfp7kD9u2vWheZuV/k+Q/SXKb5L9o2/b/fMM5Oukt/zBJaXhcPFSyAAgXdXA8jklMiWeaTqedHX7YWhwv481MbMxcE5NpNBp1nidALh2KeH19Xcp0Hx8fS3jhbcygjKakgBWFMp8+fSqeZDqddvoCIZLNZRErudejo6O07ctO1cTKZAD4LCzADI1UJKBi3cEpMI5JuMCYMYn4LH2HVoHCDqu6ubkprA3mBKgBtKw1sZ5gas9vxs1pT+o92MoNQQ/nAhi5EMpPwWZfCNK7aFEAGwDEsdFxEIRhcS5rR4xlkltYB4CxO88DgJ2sGGODoF47TH/3Le0tn/4fkvy3Sf6+XvujJP+sbds/bprmj77//28n+Y+T/KXvf/5Kkv/u+9+/ttkYy4UNBiVN81qc9Nr/r4kugAYAASqTycA7sBALcGCvQAqgoJd0ur2VQx5ERnbtOT8/z3A47HgEJjiemdV47FoNWI1GoxwcHJQJ0uv18t133xVwqMVa6Pbm5ma++eabYqTX19dlMpPOZQWi04MuPYcKkxpOUu7VaTdWTjLxLRgjCAPW/E16k/5E63B2CF2APiN8gMnAVigkgnEBUE9PT8UrMym9aQoTE3GUtREurWefR5ikWST94hJ5dAHAi/8ZL2dC6CdPcO6J9wB+25z1GWsXDlNdB8RY/NbTlW3b/u9N0/x+9fIfJPmr3//995L887wAwx8k+fvtyxX+H03TbDVN83Xbtt/94IUMFqv1MCh7aS+gYgBdSZe8GDQpHDrH4piLp6y8szYfw8HY1tbWsre3V8CB9JPr0h3WsNPT8/NzKZpiLwfv5Axzadu25N2JfcmeABD8eO0IzyR4eHjIZDIpxVCPj48l88Ly8yTlse0IcHjklZWV4qWpdHSxGMZV58rpUxiCi8qIqTF2xtF0mO3oLNIlKdkiqgR7vV7pL9KXsBCyOtQpMDbefwFm6NSfd6oyQ4ChIVZ6kRnsAzsEzLzmAyCgIA62CCP05Lfugo3zOsCQdMMJVzQCxi5hR2gECLjW15zuW9pvqjEcarJ/SnL4/d+/k+Rf6XO/+P61XwsMXDyTyjfpSWh1mGWy0FIGix120CtAWHsve3w6zWk6YsBer5fJZNLxShiN01cudvIGJ/P5vGgReA2MBkqJHoAuMZ1Os7+/n9lsVh6nxiTHs21ubnb2JTg+Pi6Tm+c6bm5uJlnsro2BeqEQ/YrXA0ABz4eHh84Gve47UmVmYl4ZCChwPLwZgMJ3YQAwCMTC5MUT0l9MRFiCt6rjGl3/4J2UEPJsR2SmGFf0JrQWtBOr/TAo+poQwOXwXC/ZK76HGGthG9uhL8iqYbcU/vF5Qj/OTYrWITN6DsIv/f/e9hcWH9u2bZumefcWMU3T/CzJz5LFBqJ0hgsyuCkMzivj9vb2ylOge71eQW6Wv+L1MD68BRSwDlFYQgw4PD09ldJhlH1y6YQeKPbE7VwPrIZ6AxjBwcFB56EqgJAfPIK3w6BZfstaCW+PxkKhT58+lUKd3/u93yvLtpl8FxcXnVSsV60SRjg2hTJTjmyxsV7HQV6ePq2zR4i2t7e3Jewgvk8WAhnhE5OJ8aR02js7Qe+TlAfyPj8/ly3hWegES+AesDWWViMussoSRkM/ESZ4wRipXi8JByBgfwCRBUVAEcfmsv4kZRcwl5b7ORqkPy8uLsqKS9LNMFeniZkzMLv3tN8UGI4IEZqm+TrJ8fev/zLJ7+lzv/v9a5+1tm3/JMmfJMl4PG5d0lmr1y7eaNu2UGVyyIhC0CoGA6MgvmcJL0VJT09PxfOhUTjPDtUHndnHAaPEWy0tLZXnTEAHvcwW0BiPx0VfwKshVNKYDN9++23JQkyn01LWi7cHmFipiabhvDebjfzu7/5uVlZWyp4ENzc3RWC10o1RYmSwg2Qx6REVbXyj0agwHy+Kstfifzyci6XoL7wjoinpO1eKov14sxfvu0h/sswaIdq7R1GSbrGS0nnCTFe4AuqEI9gaoA1DdbowWTzmwNfgzXQQWOlHHJX7AwDhXq6vr8tGLrZr5gz9zPnp3/e23xQY/mmSv5Hkj7///U/0+t9qmuYf5EV0vHyLvpB0jYg4mPTa/f19MSImGVSQVJJjKGJcqB5gAN1zKsmobgGNv/GeZBYuLy/LZIctwCjYk4G8NoKYy2Sbpimhye3tbaH9eBJ2Sn54eCihAsLb1dVVKd4BdMi1Ly0t5eTkJLPZLEdHR8VQd3d3Sxlxv98v5bf39/dlY5C1tbUCToRdeG7/eGWgQzH/ABpOT8I2vBchwOKxJqTzjlk4AkJHVz/e39939luEYntLNcYHO0GvYYwAdkALERigYSycQXL1IvoIugHCKBoKjAC2S6YJPQqg9yQGNOhv+ganYuBEIwIIsUtsmALA37rG0DTN/5QXoXGvaZpfJPmv8wII/6hpmr+Z5F8m+cPvP/6neUlV/nle0pX/5VsuApSsYyGr7hgmk8G74IDEzt0yYCA6yjcxJ9tkebs2q9WwE6u6eArWABD2eNWk9w28vLwsQiIemvscDAYlR4/6zaPLAAEoKhuYXlxclDUP33zzTScuBiDYV4LFVIPBoLCqr7/+OicnJ+XBube3t51qPig3YiEagY2bie91JjRicrxqstA4GEvH1BybBXRkEpjkHJN0pPdzoDaAmgb0GuzGi+JcTg0rcThEJaIFaIdzroMA2Or0IffK5HZmJkmHLVBzQRqUye/CPkDWOgHl62RMNjY2ynXSlzQXRJmNv7W9JSvx13/FW3/tlc+2Sf6rd11BFkaCR0m6O9BwwwYDvDYMwpQU6kT1HJOYFCWdSf6crIT314MaU6hDrOnBuru762QmuEaKcE5OTrKxsZHz8/NOpRzX6e28YEHb29vlach+CjI5eE+Eg4ODUjWJOLm8vFz2DWCXqLZdLAzb3t4ubIIae6cgXbH58PBQxCxEMYRhJqFrT/y5ZCE62rhdaMMEddqSn/l8XkIltBun9wzweGuzD7wxzM3rMQiLSIM6ZWz74Ic0I/dHFSjnhY05c8TEBnRhlf4N2Jk5OSRJ0sk+ELJwTG9u44ZNOhtUFwn+UPswlY9Un+FVQF+QnXQgiOmNL0BGg4JTNyC3MwY7OzudLIQ3W8EICDmSFGNBn0heBs2eChrJA1ahjMfHx6Vu39fP4i4q+yjRpioSXQOgYDMXFvxMJpN88803pbiJx7itrKyUTUphB09PTwWcdnd3i1fG+5OVIIMBdQUc6qo7L6aqsxsYM2CB4OgsBHshOFME6CDa4gAYRwvDXD8aETTdrJL/WZPireoZezNFbwyD47Awa40FMHDNCcBggCKERPD0vgowJRcmsWoSwERMrMM25gXOhf7hOpNFMZ4rWN/aPgQwcNN18YipGF4f6undftixyUU1yWKtBR6CDl1fXy/ITKqM1CLeDwNEYSZ+degxm806mQwmBrtT+wEkp6enZc8CqCBLiVmZh5FBf1GgT09PS02+F9zAqO7u7soTkxBC8VyAmVOq5PCZIN70A4C2B6bv8JDcK5MyWRTZMPE4Bt4N+m/whxnYBgAG7/hETG1RmQnFjtgACRTaAioCovdndMbD+3zyGViMmagnNNfpcQOAvNQaUCQ9yfsUrBk0k88fn+C6C88Xa3DO6Dm0s87wWw8l/nU0PAcg4Li0rtiC7m1ubhZvyHdcdOS1BMkCPRkgBDh7PkQoiz1kNTBiQg0MDeqJ2AnYoF+Q8uQ5CJPJpKzhX1tby8XFRQkJEMT8CDfiZcCCDAQpPHL80+m0xKyEJOvr6511G8fHxx0g5B7xKPQlRkk/QJ2Z/Gw958IZJipsAWDgPgB9lH/GgmX0gDY1CYA5k5jdlJg4Dr/oN8aV1DUgUAO717DYQdC8NgYAp26C8zpUsagIWGFTBtw63CHM88YydjCUWTszxGedrQHwrdF5XYt3QHtr+1DAkKSgX7JIu+Bh6KzJZJLRaNTZqJNY3RuKUh6L0TrWNb3iPN5RCWN9eHgo9QAMGB4Mg2VTFgyPTAjUlMIYYkWMdDgclkIYFHfKslkzAR09PDwsFZh7e3uleKeuuqMScGdnJ0tLLxvf9vv9UmHpfRbx5uzexOTF69fjwQSyCm59x2lMim1Q+zm2q/G8CtAgg0G7VoDjoe4zMRGfASQmD0yJVCN9zsRDKKUyk4nm/RaSxTbzzizhpQEF7tP2RIYFZpSk473p47rOhkpcP9qOSU42xHs0OFsE2PvzPs972ocAhmQxOZmQgIHz3QwgeyJSfmrktsoPtTMIYISAhbMLeEGry8kijPFveyO8NoVVLNhx2OHtwRD4eO3u7i5nZ2dlW3Gq8RDdeJ37pMQaA2JjF0ATUW1nZ6eTv/fOTc6ZU4psr0OVKf1XMzeDOZMpSQkx8HIAKUBkXYIxZdw9YZwVSVL2qoC+A5hMBK+pQEym3/nbnrNpmmIfrkB0CTpsx48j4D4tdFvXShbPfiAkcKgAC2V5N+wSx8UYehm414c4/Y4dwZLNfACk9wIC7UMAg9OSeAUbro0Jak7qkc1YoOD1JqsIP0Z6i0n+8bktetmbcL2eCBsbG8X4YQnOeSNivvZsQ7wcezJSQIWnhyp7lR/ZBXaAHo/HRaA8Ozvr7AiNMOl1EngUL1qy5+QenQNnHLybEJ8FCKDLGKn72WnOOnPBsfCatYETvzvnz/mcySA0gEVhL9B7AICQxjUFSUp/ezEWIQT291oqkbCrLnDq9/tluz9rVzUYcO/eQMYPGSZEBbwBQu9Y7bDB84o+roH9h9qHAIbk870V7OGZrE6RsYwa6ko6ynvtefC95wBGjvHa49kbmR6ywKhmMBQsQY+hwC6rxguQQry8vCxejQIVaxLoAWYufmCvF/6sra2VPQ35YdMPaulhH07tOoa316upr/UF5+jdD4wJoODxtH5h8RPQdUYDsMIO2BPB8XuSzm7XVKXS11BzQJDvcu+87gIx1r44zDGIAJAOPRBSZ7NZAVZ+DBCwQoDQeyiQ/eHzry3HBzAAHkCGkAnWwLU75ckYAo7vaR8CGDA8UkoYDWhtfQBaZqr5/PxctjJbWVnJ3d1dKWThODACGIS9nekhyjbikIuXEJ+8eamZCCDFjlA8s+Dp6ans/OSKNVgPrIKCJgY7SfGGAA6hE1kKwIGNWiiVxusARoALG9HQB9BZwNdFYghfVujpMzOBZFGk5gVwgE6/3y+pNPrdyj9jOJ/PS3l7sgj7YBjejMRL551VgPqzvyN6gesJyA7BCnAAXAONMaDMHJbC+ek/fxdwx5NTSOa1F86scP9UV3rrOUIBfugnA6kBB9GV4/G594JC8kGAIenGrC4gwXvxtz2Nc+tmFY6T0SSYDHiEx8fHz8RG6iLsqetY0msg2CacyWHvhGeiQV+JbaGYLl6BLTgtCl3mPtu27TwAhUkAkwCs0CcAIbSPJOXx6hYcaXVO3X1Nvzokw7iZuKw/YSI4VYYRe/WlmQbZEl7v9XqlDygy4jeGT9jXtm2HGbCnpwGdMXVREdfF8R4fH8uio7Zti3AJW7WA7GpQrsub9jKuXqLtCc33AAsDgVO5zjAALtg87Mqvc0/WF6zXvKV9GGBwqszpmVoRZ4Dq6joYBzSNAej3+4VaEoPCQPAYyWI3Y+fT8SROHVJxRsxbswfiYac+8crQ6STFkClyMch5tymMlTgT+kiWgVWaZGr8A7Po9/tFd+C3i8O4FjQEDJRrxWO6PoSJQ2MiIMw6NGD8LC4CKk7hkcHg+3VKEUCBBZrqAywAAX9zDbYXaD72AhBzfXZKTnViW7AVgIF7BgTcL7AZgMfNOpVXmzo1jLiKzfvaCQnr79Hoc+77Pe3DAEPS3ZHG5ZxmAMkCFDBel5QygT1AdCADy+e8eGowGJT8PA3D9aSGNRCbEnaQ1uIHYMBb1SzHXheAMpgYqDDe5GWwycZAUclOUPzktC36B7E/Ew4WYsbEpHM1Iq95chHy4alhHhimd4NygRQTx4yE8aq9oVfDmhnQp/S9gYGUNRMOoIExOf6HGXm9DO8DDN6GzalHr2Z0mpV+dYGYqyw9tmbDztzYrh0qOKSoa0iwb66fvuZeftKhBLGlRbxkUSBi2sSPhUkr6qZgNbNwfhfEx3ARF51i8jJb5+at1GOo9doHjBjG4WugkXUAHIiFoYcch+PSV5ubm4XSsvrSdRSkThHH6C/6B+OHOsNEMCKvC7Hn4V7ati2fN6DgSWEdeHD6FG8HCND/Vu0ZO9gh2hHZAvZSYMxdB0Gun6wE3pi03+XlZcfOeN+PtGPs6UNv4w6jZaxgg9wD/YW+QqvtlsnrLAYAXdd6JIunkdH/dYhWF2oZDOjn97QPAQzEfqZCeHc6C3rIYDgrgNdC0MLIEHAwXHcWnsXAQXNIwnuOR5PFQHEN/M2ybIMWAwkrwIv0er1O8QzxscMXp87QNSjygT5T9MT2694nwLoNnvS1+BPQcsiEGu6CKIcHUGines02mBg3NzefrTFwfO1r4fzcrzUT7ATgdO7faj3ACD3n+tkZmj6xh/bk5rfTofbcrHK013Y46NdxErWAW2d66nlgrQX74n0AmPfRdsyGPQ9YMvCe9iGAIUnxIlBbOgixzvvwuTzVlKv+XS+XTboCGGIgZbqmy6aeGFey2ESGY9l78D5e2NTY6TAGej6fd9JlgAKhwPPzcwlL3C8U2xDCABboCaRC8d4YBdeJ94NOA6q+D+4FtoJOg8DHPRhMaIQvnvgwIWs3GC9VoNiAMyUAL1Se8TSQM74eb4MCY08KEApPn8BqAHOPM32OXfA6zorP2/HY4xsgYWDoM/wN66RvDJQOqQEYGBF7aFhPA3xqR/iTBQYPNN4Fao/gxwNjqOgDPEBKezPniqGSoLa1AuI+GzrewtWNfs/pU34z+Fb5AQe8DhMK4dP0ngl0f3+fpaWl4onZugsAw5u7JsPPw3A8u7Gx0Yk1vViqriFw3IrX8YRggmLAjI3ja6+oZKIDXpwbcHmtPoKJz8Ty/geANpMEAOVzTiN6YZg9L14d+4LpUFnKe4RvMAaOy3hZNH1N33LY6NcsPCMkW0eDXWA3TGYmO31GanttbS1nZ2cljcp9w26xSYdlb20fBhiYUHhgdwwTg8eXHxwclJw8hpEsOty/vV8f52BAXUTFwGFIVpnxvBgnE8MUj4nXtm1ZCIRBuASWz0GXiYs5N0ZgD8B5qaVH3ENopI4B+o8BexIxCQwQzgQRCtgjJgvjsvfmPJ4M7I1pzYYJBKU1+PMZpwY5j+NlrpEJymuuSvSaGKcWof2AIf0J+NInsFHYF0wA3QWb8HGZ/ElXwAW8Lbpao+F1bAy75bc3o7EuYTH6/v6+PKOVcPjp6akUtHF9HNP/v7V9CGBgkiQLI4YxmBKZZju0ABwwGivPHgRTLsf7nM/LVx2nklP2JE66T4RO8tlErMXOZPGgEGdTHNNyfIzYajSCn1fYQUdZ1MQ1WsHG0ycp+yt4nwFPep8XoHC2BOM0kM7nL5uqMDGpEnW61eBAnQPncvaFH5gJ32GyOHtiQRJAIXxxatEZAafzmqbpLIX3cm9WatYVlR4TPLiZk4HBAiLjV09Y7td6jQumuO66MpXxZPEcxXGAjQVNi/lvbR8CGJKuEERHmwryvleKWSiDftdqMJ9jcD1AHiRPDotaeGnTSK6B67K4aUHU50vy2TUwIdgL0vlxi04YFqk3vKKvCS2CPoLJ0Kc+rycp1NWsAc0B0LMmUHsvjNFGjzEmiydL059cP6GQS49fY1A0hwIGFC+5tgBJfzsNSWhk5oKozU5YLocnlAOwGW/H/IwTYRFgSn88Pj4WDYvvWEsAxLBzi4cOMxg7+sqCtJ916gwQ9+md0d7aPgQweOLR8O54Ajxtne7DyOkwPB2dDo0aDocFkX0uBsy0jQGwiu8YkWMYsDgHTIfBtme3RyauxwgwXEAiWcSGnnio53yfc6CSc30IuQ4REK7oS6o/8T6Pj49luTH/o8NYC+E13zehDjoH/QgoWBhksnA8NBeDA++bUXHvNM5NKEWsjY08PDx0hGWHZ/QT+tXa2lpHXzBDAQAAR8bd2hQOif/NKpxKNZt0uGH9BCBmDAB52C3H5vt1WpSxsa6ALb+1fQhgSLpxvuk6Ro+TjrGVAAAgAElEQVShJQt24c/gvWwEDIDppVVbp9ZISYHkTF7CCOJI553d8bxHWa/BDIPmGpJFeov7smBlz05Iw3EIbzBUjMBKOyzAfZR0lWmHbw8PD530GwDM+aHYhG30DRPTOypBrRkLh38AGePJBLQWwATDSzMmDuUAWwTCx8fHsjYCUY/rsXjJGAAu6BQOX+hb0rTYi0MzAAOAsEBrfcTMlzFmbA0I/h/AAYwc2qKPcL11jQnHcR2OweY97UMAgw3NsRWI69ixXmprL2JPURvSa3Ee37HX5z2M1aWvXIPDGU88ozfUmc+1bdtZ7MPnfRynCjFqL0P2+WleNejXvIU4Xov7AoQBI7OkJEUQ5Hw2bC8WQ/PgXgFDp2UNxuvr6+Vv9zfe0DqBd8zyZMPQOQ+Lw+gH+trpab5XF/kAbN5/geteXl4udkQIUjsuZxm8Qpf79jofC4CMNWBgO4DhOMvCvVMF6v7h/Nwrx7G9uz/e2j4EMCSLRVJenANlfnpaLC5iS288eK2Acyw61TGuvTRhRbKgWRitDcCLa5iUBiSDiVOXNRghEPpanN9m0plmOl3HAPvZnHhmV8PVrMNxsPuUfnPeHGOuxVWM8/HxsdQoABCuDqy1AQOEwyYM2Z9jDAEci4ysPHTqmGtOUvZpIPxgvLgW2CDCnkHQK2edAnWIZ1bHddcOgbUZbP7CZMQOsDXu2dkx6w6wM1dFcg+A4Xy+2N2cz9WsgWt/7Xrf0j4MMGBUdbqNjun3+2WhEGIK++knC9Qmjvb+fs4Xo5jbs+FtSGNZb6jBwGIgEy9ZZCRqkZIGqEE/PZFdNMTr3HeyqCFw9gTK6QVD9sQWClHjETrxxK5WpIDLBUXWb1C7nU83q0q6wAiQYfisQ6mZljUjJif6COxvOp1mZWUlk8mkTHbO+5p3JTsCINtbWq8wm+K3gcn9XgvKHivsCq3DegwgVGtNBh9sgPFkTLA37AgNB9Dx7mFc52Aw6KxCrp3WW9uHAQY6hFiq3188EzFJ2ewkeTGqq6ur8h063gtUeHgI3sK0y1SeeLEOJ2ohEqMwA6HjCTfMYAwQVrK5PivbXDcGiscxI8FQKWTifVJ29oTOkfuznkTJgqVZr2ialz0HCe9ub2873h6V3wBSU9Xb29v0er1SnUof2MvTp47feY0NWkhrrq6uloIesxfOzVhZkxkMBh3to/agXHP9dHTTcQAO4Pb7TGaAjLCEMm6HDQCUr7dmnLAFgJT+dEhyc3NTxpT7YMdwxsUMk7DE4dtb24cABgtaScpks4CGkeLdWFrM5+fzeWd5NBPYKUAbBCsDMQIG0gov1Jb0ULJYCedjON58enoqdBKBajAYlAeWAkp4ci8VdvrQ7IBrIz3lQimHRw7BRqNRZ9ICRnyP++G7o9GoAArXTeaD64bO8pqBjDGzgOkUGwDFmD4/P3cm5WAwyPX1dbmP29vbTvESdQZ16tBOAaCnMMniL2EYoY8puvfhxHGYCXE+bM+hqwul2ByYe3aWDPYDU+VcBhw/mwKQ4z3bMTbe7/dLiEXIx98Wu3FW72kfAhgwOiaHJ5vFE6MnXsnpJzxqkk7KzGkiwIXwpP7NqkIGEwroyQ9TQaU35Xea0DqIjZgJz/Xy4FIPOPs0WHdIFmlVSnQJlaCw9moGomShGdhL1cVFeHgmRZLPwiXAo65twEPB/DBuMweYBtdvOo3xU4QFKHvXLV5z+bBTvIDjazssm0V6ohJ63tzcdPQpaxNmPDUDtXjovq5t2OEhv+v0KtdPqGAQM+sEkF/LQBgEuP6frPhoz0KnJgs2wOR4fHx58CielA7mu8RXrwkuxOUebFNo0J/ze9VbshCMXB3ntBXXBBV2NSc/9pD9/mL1JIZXMxALX97ABO/FXgPoLZyfc9XrHbgXQg7+9+tmURYayawwXq6WNNgmCzDhfe4H7w3wcE2DwcuiNivv7IdpzQRABtRYOeiVmNaR6DtA32yC+N0PsMXz1hvMYnurq6udSeZQ0wBRZ0acHQOosFk+75CGcBixFYDDYSWLdLk1L4NR/fp72ocCBncWAow9Za3w2uAcFvCePaaFJlNze0+n/JLunoPemQn12XsTOKZOUvYUNLB5RyGnrJiMpox4O8CFSQk19mfoM2JcA5q9hwUwJt98Pi/e2ClNxsI1B9x7shDCHEtT/MRkhlW4Qd/5TWNnbz84xoItf3MtsAZEPxZC8dgAi4qAxcbGRrEhJtXj42Pn8YOAgn/jfBzDMyYAjBkGY8P9OvNjW+U9T1qvdeAzAJjTsWYsDtvMMM22a9v+ofYhgKGO9V8LJZJ8JhRCLUnvYLxMOtP8JOU9vAuvOVXEZGXyQmnZtp241/Fvsli+i6cmhYaYR+EOg2oB0PQVL4G3hAY6FOGH6wNI2W4O8QpNwNQUj+XKOjwy9+/rslDmct+kW6qLx3emg7FyTM6YPT8/l4Ii6wYAMGEluyixp4N3rXL2wBu48Mg4P1cSxZ/+MoAiajK50SZgLy628qR0Opfv+Nkh3gTWxwaYsHn+NxPhHIA1duqJ7nDFIa8L35zlek/7EMBgVRkURSPgNToOIwZM6Die14hBJelU8zk0wLNjWP68S4D58Q5NGJWFT6ceuXYvCeYeyfW70KnX65X9HZkk5Kg9Cf18DFJb/uG+HPY4JgYYDKrcP3tAMom5Z4tug8GgLNRKFrs82yMS86+urnb2jTRtd5jGfVxeXhYREKACaIbDl2dT8rQuJuHNzU2m02nZuSpJLi8v0+v1CntgnAFpSp9d0ARAGGCwK1gRegjemT4yiDjMI1UOI7q/vy/PGsEBsMmsQcLslomObfE+du9QwaJ90i2J5++frPgIqmKseCE6G9WWDUwos7X3hjE4k8B7HA9qycSxAOZiE35bD/DaA+sFDgX4DlSZOLXeUQjv4MpBPDrei+thgvCEbGcvqBHAQDAYp8cMuMkCKOhrlq87c7GyslLiXO4Vz8l9MyFgW7AbxovPWR9iVSeZBu4DveT6+jqTySTj8Tg7OzvZ3t7OaDTK/v5+mZwudOMRgd6f8ebmJqenp0k+B9SNjY3CKvhBl7HGtLS0VIq5xuNxkoVnT7qPT3x+XiyJJ/vhR+JhA4Aa+gkLtFzmzP//f3vvFmJrtt33/b9Vl32pXbdVt97d5xDJRn6Q8yALoxhsjCCQRIfAiV+M/GDLsfDxg4RjUCBH8kMEwuAES0YhQdBCIjrBtiKwgw9GwZGMgwlYciRxrCuyj6MTfLr33lW11qqqVVW79q7Ll4eq31y/b+7q3lWt7t6rQ00oqmpdvm9+c445xn/8xxhzJpPNgpyB6muDHkCjNFw61pbd75u2qVAMJmGsKRH0JB0o6KPKmHSX39b+Nq6Dw4JYhqQ7yS9fviz3Sro7PqEk3E8mB6XgE6b4DbSsCS2ExvCaH8NgyswJ2ZlExVIBe73A6TeKDUWAMDF2NCI9s7OzRUC9BwBEWE2MMh4nJyedEK3Dpyjtly8nW69D5hkF9Xq97O/vZzgclpLipaWl9Pv9sm0/B/yOx+OsrKxkbW2t7JTNQTso2dFoVPoL2nv06FFWVlYKD4SRQVZAELiPRD7sgmFMQIaQoChVuxdJyniSW8HZlIwpzWF2oxHcp6Ojo3IkwOHhYWc+ah7LEb46avK6NhWKgcYgYv0d83fcn6PaFhcXy+SyWaojAD6NyunHSUo40ESS4aPdG9f029qiEGwhTWYxuWw06tg6VimZ7MfIfefn58spyywaoDWZbbgdPg7P13Gkxcy5obyrAevntRsD2pibmysKyP121OD4+LhYYCM/x+xRmsBpuIGlpaWirMbjcY6PjzMYDLK3t5e9vb30+/0sLy9naWmpuAhsjHt8fJx+v1+20+f79vm5L8cIGv2RUMWYU4OxtLRUokxOl3YkwgrSvIpzFAjBchye8yscwnRUBLdkPB4XF5SEpv39/Tx9+jTJhHsDiTF/SfcU8tu0qVEMtUbDItfhHDT52tpaNjY2ihX1JGP1gP4mLE3msKiTVw+uNYRzrNgcgfPZ0ezPnz8vG7JaqUCQWoCAq6ACv8b+jSZRDSXZxYdDZJwv4YxQC57JWHIWGHuHykAyWFNcFubDz+D5oUYEpITl5fpci8XB0XImETmEF14BHmF7ezsHBwfF2oOmFhcXc+/evXJC+NLSUtnz8vDwsPyMRqPCYbRtW04EY84dbYJPQmEtLCx0aipArOaW6tA3c2mS0e6rFQrv2xVjDlBsGJi9vb3i4oA+XKzFGmHeGdvbttcqhqZpfjbJf55ku23b//DqtR9N8leT7Fx97Efatv3Fq/d+OMn3JzlP8tfbtv2nt+kQi7LOKWBxEiHY2NgoR7LhI2OFrbGZLMNntKrRgsOipMqiAFj8cAQseCyPSUOui8CzIHxvrD9CxyYhuDn8zX0ODw+LUuCwGYfUuBYw25mJCEedDIYAoxBevHhRksNAOsBSx9DZ14KxMkfjCATzRegRC+nt9HGznD+wvLxcFroPmAUZbW9vZ3d3txDCKysr6ff75TRwvocyYtPU1dXVEt1gQ1hnQjJ/cBX37t3LaDQqURKe3VvA8Xq9e7c5KsYXhOr5wFiBlJ1FimK5d+9elpeXi7Ll/ownygGyPpmc+0pjHm/TboIY/uck/2OSr1Sv/922bf+OX2ia5tuTfG+SP57k7SS/3DTNH2vb9kNjJSSoYG2sdQ2RsBJ2FZgILBkWzOw2CxvBhRkmwYeBRduenJyU7bJMuJF+avcAlOAkIxaMUYvPTASu9nq9rKysFBbdfjmL/uDgoPiWkG4HBwdJUqybz7LE103SKdlOJi4aY+5QI4jAUZA6ysEYU8SGQmWuIEwNZ5lPp+3CFfX7/VIkBdQ/OjrK6upqkhRL/fDhw4zH4wwGgwyHw8JBzM7O5smTJ1lfX8/a2lqWlpZKTgMLiMOAUaggCNKXDw8PO4qJ8WGumSdkyQlkoD04LTaNWVpa6uS8sOBt7JBrpzA7l8ZzwX1PTk46cw43AupFOTi35bakI+21iqFt23/RNM233PB6X0zy823bvkjyB03TfD3JdyX5l6/7Iqyu8wr47fRhFjEL1KSl3QHHbm2x6nJWSDBgW5KCBEh4Aa5habCoyYSVxoqajGJxMZlYc+9ZyeJzPgahuPF4XEJ5LByU39zcXEEcWNmku+39eDwu5KFzLhzp4TdjdnFxUWo9+LzdPO5jtwskgqJ1qBSXhgUBAz83d3m+JFGR4XBYfGeU39raWtbW1rKyslIULDB+d3e3EHDwFYzp6upq1tfXs7q6Wq4PqoKPAX3hUjC3PmAIZYGCs2tr1IBbATKA+yLU6iMPGDPXxPDbLi9h5Fq26ZMNp/kuu5+8ZiVz0/aH4Rh+sGmav5Tk15L8UNu2oyTvJPkVfeabV6+90pqm+VKSLyXp7KpMQwsbNSQT7oGFnkyOIksmefxYRBSBf5ywwkDjPmCpER4WIwrBSoV+gQ4ce8dy2OqZC3EtBX00IhgMBp2QFpYWUuzBgwcdy8Si4xmSiYtEn5xrb+LVoVO7Yk7AQXBxDyA1nUAFCcZCwd3CanruCIPyLCC/3d3dgpLwrTc2NrK2tlb4BSIKOzs7GQwGhVzkkF+UzOrqakEMTlSjoA1X5uXLl9nb2yv+vLkJEKFzBpgrW3nmAEP26NGjMlf9fr+j3HzUnt0QK3Bf34vcyVeu9GW+tb4K6Xvb5KbkoyuGn0ryY0naq98/nuSv3OYCbdu+m+TdJFleXm7rrDpnPSLEJMvUpbd8HgF1VZ0jCFgFrJYRhAebhc81WLwmkhAGw0WiJlhxYuaOKDgsyT1wS4C3g8Gg8AhYKZQKCmdxcbFMPN8nGkLIDOF01anHC+WL4uHZXPyVTKIPFjQUpKM0zIGzVrmfo0ZHR0cln4GNWFdWVsp8g+B2dnby8uXLUm7M51CKq6uree+997K7u5v9/f3s7++XcN5oNCqhzM3NzSwtLRWSl37AsbRtm83NzaIUjNYgP7HgNePvjEOXsMMhLC0tlSgaqJG5c/IV7s/CwkLhJrg29zLRDTfjKJFJTYysyfXbtI+kGNq2fcbfTdP8dJJ/cvXve0k+r49+7uq11zbHxq3tHA0g5MUCYHCI7bOQsAIQNlgzp9c6JdmWE5hmMpNWw75er1fgaz3JhBtZmM4PsKVCIUF2DofDQorhW7qOwElOXIcIBc+F+wBSMGFq62NFjF9qlrvuuxfBdYlTIBW4Bi+gs7OzziYkwPaDg4P0er0SfmZBwCU8efKkxOvfeeedrK+vl2gBvMru7m6ePn1a0IaVw+7ubobDYVES/j5uEZzH+fl54XNQEPAZ8BHj8fiVwirkCE7HhWunp6cZDAZlHldWVjpuCC4h7gbyxJhbWcKTgKicGEWze8Ec31YpJB9RMTRN87ht2ydX//65JL999fdXk/z9pml+Ipfk47cl+Vc3uSbEiWOuNRmDgBHP3d/fT9u2WVhYKHAf+OmEEBQEBCEWyCmkV89Vzjm0ZYH3YKGCFoCM1vYU6viYeXMH/iHqQQo0FimZbGsO/FxaWsrGxkZ5DfiMsAJ7rbhYzKCRJEXYTNKenp6W7yHQVpCgHIeMWeBJd1t8ntk+cK/XK3kWLOimacrBswg9Y7m1tVVQzrNnz7Kzs9Mpmf7c5z5XXITFxcWsrq4WS7y9vV1yH7Co4/E4S0tLRWmsrq5meXm5kLVwKSYUHz582FFAziFwjgSuHoqCtHHXosCFcfgwclWHQAm3OrIBygT1wsF4z0ca7p0jSVbgt2k3CVf+gyTfnWS9aZpvJvlvk3x30zTfkUtX4htJ/lqStG37O03T/EKS301yluQHXheRSCZ79LH4EEQGxEklIIG9vb20V+mxRDRc+IJAUMiCZke5ACPRrlz74uKiM1kQRlT9EaLCPcCSgxYePHjQ8eXpI2FHjrA3CcbiNa/CvREU/qfwCOUyHA7L9UEtCDWstw/3BQWw4Lk3BNfVPL7CQTjubsbbYUoyG5PJTtUPHjwozwhHg9KcmZkpEQmKxshLWVtbK6hoZ2cnBwcHRdhfvHiRt99+O1tbWyVdmoWFtZ2fny+Wlb0RkQkUA79xMxyadLo2/Mja2lpBI6AdcklOTk6KfGCcDPGRPe8TQT97vV7JY3GyFS6k8yNQSCAYKwDmDiPoOfzYMx/btv0L17z8Mx/y+b+V5G/dphOGnGg7Yq8QOoTKCBteXFymle7v7xeLjg+GSwD5ZWLMiT/2xZLJjsv48hBjCJvLeRGCZJKP72w/4DKZkFgbIKrLehEQWHcOUXEcH2tuF2o8HhefFzgMammaprgoFO/wGeL83ncA39iuApl7jKuzHJkvK1yQnguo+Cyv8YxkL5r4Oz09LdmN3nCnbdtCMr733nvFBXvx4kUeP36c1dXVrKysFOKvaZo8ffo0CwsLr2RAwkdACi4tLRUuCAQCuQpqwvCAHvr9flE25EnwDMPhsNwP4pKFS6TM3Ewy2X6PsaxJTeSScfauUybg4aPItzHx+GlGJT62ZoiK5acZxiYp0BtWGx+Y+D2DyuB7ApggBhk4h/BChjkMiNCYOXaOvK1nHUp1diLFPggqE4fbQpgL4YTFTiY1HCg5LBU5AmRLsujgWxxiJc3Xqdc1ekpe3SwVwtJp03Yh6B/jgVLk+7DwCPP+/n7JQZmZmSn7Oe7v75cF3zRN+v1+yf6EwX/69GlOTk4yGAxydnZWFOP5+XnZQn5paSlvvfVW7t+/X2ot4G2cDwLpC0oAQaysrJTUbGTJsoJSXV9f77ire3t7JRKCa8e8oxRZ1PU4JumExb0umANk3byB+TErAYwSc9nr9QqSu2mbGsVgZeAsLrPcfg9LiULh+w8ePChKxPDcyTwIKzDRiStYMywvf5O5lkwiJq4pgAjEn0cAXR6Mz0tIlfRu/N3l5eXCuj969KjjOkGImZvA5cAX9qKm+vDFixclYsKmsfinIAkgK+NpnsGFOEk6wmYXEMtqQTRMdvYoyurhw4dZX19PcokoUA7MD9EXp7XjOvEbpLixsVHGgHDmixcvMhqN8ujRo+LGkRqdTHbuTpLhcJjt7e0OcsBFJKHIFhwjAWG4sLCQ1dXVDkFI3UadHUsY3PJPbQSZrMg+Lkmv18vR0VEnmuQEM+ekGJ2wDny/m7SpUAzJxPo4r/u6WDuQlc/hY5Fuy/+85ywzE4ZARucVmBlGKHAfGGgnkzikSVjt7OysWA9gvCsT4U5wEdbW1op1RAHh56JsRqNR9vf3iyC3bVvIToe/6BswE6ILaGz3jByJ8/PzYsFNIppsRCnwvCx8nmtmZqaE2SAxk4kSJ08FhUVCEpzA8vJy9vf3i1UfDAbFoq6trRWyElJwMBiUMTk9PS1ojLGssx8fPXpUCMjFxcXC83heDg4OirFgkYMe+v3+K7xRMknempmZKcVWpGjDbTAPoBd+4FXqCsy6zoF74g47YueEKN6nOe8HpXybNhWKAYG2lkNz8rBARhY4nwPquhbAcBn3AA6ANFkWlAtnQA11inIyiVmj7b3JBjwCC3Jvb68TEWHxkVU4Pz9fEMLa2lonvo61ICPPLgiTjwIDXbB3Aj7vYDDIwcFBGa9er1dcDbgFLBGC5pTos7PJ9vBuDmNCXAJZCakyLs4fAZGQWAS7Dp8yMzOTxcXF4maBdEAsm5ubxZ0jIShJKayCjBsOh3n8+HE2NzeztrbWyQ4lXLm9vV3cQqIikIdwCgcHB508iJOTk6ytrRXeijHnGVH2FIcxFow1zwsXsbu7m9FoVDgn+AqXTNcW3sgApOCkM5OMRIxYG3ZPbtqmQjEkr25lBYxOulVpCJ1TS82OO6XUkQOX6NZowIklfA/46ow3IwAgIwwwYaTxeFz6iEVyrQT3WllZKbkO9N8LF4VASjR+Ptl73kuAyAdVhEQ94ELgF1jICKLdp/n5+eJawBm4kAsfGE4Hi8XcXFdRSXSICMmDBw86WaU+G2RlZaUohdFoVEqNIXS3trZKVWEycTF3dnZKliL9ZyHgDlrZgwwXFhYyHA7LszDHuIgoJvMUoAGUOq6ZU8fJqeF6vd5lgRouyv7+fpaXl4vyAV0OBoOiECEsjQJc1wOK82vcn4aLRfvMuhIIGMLvDMhaS7LYkklFGm4BsBnrgsVAOPr9foGYRgSOZYM80PYQVRB+QHr/j+WCXKLvKCDH25eXlwvzTmIN7sjLly8zHo+LwAP3veeEE3RYCAgaMPX8/LwTwktSCEwWHdchBRcl6MUNkUl+B3PAgjDTDsmJokNpkidB5AXWfm9vL3Nzc2WXJldA8n4y2W8AN8GL2a4AJ1WhlDY3N3N2dlZCoHNzc1lfXy+Ii3lYWFjIzs5OSV6qOSNCzVj5fr+f8Xhc+CHmkWQyUBoZjIynXVYns+3v75fcC5AFfUkmi9ohYubTSAJlgMJI0lHet1qPH20Zf7wNqJmkWCisfdI9zszkGN+BXMOv9B5/ZMfhd6IknPbrPHSEztl5WA0WFouXpCJYbuA5guBNSR89epT19fWsrKx0dmfC3yeMeXx8XDLtsNK4Tw8fPiwptrgPoBXcBwg5lBGWDQZ9NBrl6OgoCwsLRWiwOowrKIOiNYSMOeCz5h4crYHkZVxQ5GbWyS+xK7e4uJiNjY1OWfRwOCwyQjQAbsYwPpkUvxkZra6uZmNjI+vr6wU9LC8vl1RsuITV1dWSHDUajcqCTtIpcUexkozED3yEE/QceXCOAu4t5fhUh+7v72d7e7u4HCiIOoPXpCKKus73sQIBjd6mTYVi8AMlkzMLXFdggUQYeHgWDDFwFzLBbiOA9eYt3ItBbtu2ZLMBeWGXETzvsGPy0wQnqa0oIxa0WXZizkBJYuDwCSAFLLtJ0yRFQWFtYNgZi9XV1ZIP4KQYFICVAsKFOwXiIjW7zr23MvGcAKXv3btX7vXixYvic3Nfnm80GhX0xj4MoIxnz54VpexqxPX19ZLtSmTn/v37efbsWXErTk9Pi/LGpTs9Pe3sjAWiBFWyyB88eJDBYFB4LZ4PRYdMDIfD4qL0+/1sbGyU6AhRA9wJxgy0hZVPUvqAfPDMg8GgKPzRaPTKVm641s4yBZ3ZzaiV+03aVCiGZKIc/L+ZVKyjtSSxcFjkzc3NbG5udqyhLRV/M0HOJ2dQvVkHE8QGpd7Yo9bAdWUlefGOckCCAjEJZUJI7e7uFuEjWQeIvby8XDIbk3Q4BYSfJJyVlZWyeCwcWDznRzjnH6HyGDkqwVih/DjngfdQdk4jx83BrWF85uYud4cmmjQ3N1cIQ/ZpgOilctIp1rgV3vhldnY277//fkn+ctYrCU4UVeFeeM7gfVASu7u7nfRj5MQFeePxOLOzsxkOhyWcvLa2VlCdOQCaORoMChGR+fnL8zoPDw+L6/nkyZNO4pkXu6NwXNv3czTvNm0qFEMd/gGSI6gIBAgCcs9Zd+QfUAsPDHa+P0LLPeE0WBjOhQclOOUYQs/w1coHl8HWB6FzURgW7OXLl2VHIgqAUIYok7W1tZKwg99PXsNgMCi+MRCW5Cjv2oyrQhYhfcYKkymKdXNuhuErSAIlSH+YAzIoPb4ourrQ7MGDByVqs7e398q2aSQcoVg41xIFlKTAdxOobdvm/fffL4gPQhMlzH4LNO5r15OIFQVaLHqSuJIUFwlOjPvs7e0VlxHlDLrBijM2SfeUMxQkiWHmkPg+eTDOFuY6DqV7HlDwt2lToRiSiSB5SyyE1mEhFz6hPLAGvI/wGroajTht2hmKhLwot3VCEfeEP0DjQyZ5jwQgP35kMsm3IM8Al2FnZ6dwCmwHx3UIuwFvIfNIBhoMBoXII0SG/0wUgrAp1pO+kbgF3HVU6Lq0ZwQM8pNMTQjaZHKqE6iIxJ25ubkcHh529qRYWloqpB57GZK1yeLc2toq844Lt7e3l/fff79EOXC3+v1+cQ8N1a0Q7CIeHx/n7bffTr/fL2nU3mwSupkAACAASURBVMfRSGJhYaGkPCMzHh/IXpDKcDgs2w/i3mI0kEunPaOQDfl5Nngzn/TeNE1BfSgAuCWMAejCuRC3aVOhGAi38TcPbyIHi+X0Uqz8/Px8Z+twCB4EBfiHoLqghwW6t7fXiS1DBFrTck1XPN67d69wHCAWhMrsPmXV3jUIJUQmY3IpEP1+vxBS5CogQKQVw2ibhwAtkbaLtQFWJyn+MNun4ZKQOIWlMnpjzJ2Ydf/+/eJSzc7OltCeM0lNCvJ5PyNzYaKR8STz0/wNc8McuFALNLKxsdFxD7e3tzvZh06LttEB9tO/1dXVUky1uLiYwWDQyUVwRiLN2Y0zMzMZDAYlF8JZrd6bwuFflC/9B7ElE4TinJ/ksgrXyBmjR7utC0GbGsXgzC5aTUq6GhLNCMTH6rBxJrCyLj32gR0kBBkhoBDgE1jcuCEmA72rENWP9uuTyR4PPh/RqbJUgzo9GhYdXgECzNuQIdhYYFwIrK7j8SxAyDbQDWE+9jw0rGWxO5EMbgF/mM+zuHGPQH4sXtwZUAv9wFVAMRDeJTT56NGjIuxwDYzhcDgskSjQAcratSy4Qc5zAI67psXnTNAPyFQIRjahnZ+f7+w67RwBeJyLi4tCDD979qyERsmDYK5BESgHDKFDvSAdIwAXR4E+MHgoFivW27apUAw0Q1Znbzkq4Zz8ZJL5iMAggDD/fAcm+bqdgu0yoDzOzibViE4EYjJXV1c7k+w9G3gWuABqJI6OjjIajQqURYDm5uY6133rrbeKK5JMhG1vb6+UIENQYtGIy/MdXCySsFwj4l21UazOH3EOvjkfJzXRQG7OTEVQseIOWxo1sEU8c3F0dJSdnZ3O9nWLi4tFORAhIaUai9u2bfr9fsdPR7HRr/p5WdDMy+PHj0tEAaWASwSZSpQJ5bq3t5fhcHgtwYcbgyuDIsONe/z4cUnacq0LC5l+0j8fouPF7oiHQ8g2sJ6vm7apUAxo+CQdtpX3GHDgEwLL4Bii89vMOvn0wHast/19F9YkKdYIYgpWHcvsEl0iBTTgJArHbo5JQPxhrkuuP/sDuAZjPB7n2bNnpbIwmWzmgnuAhXVmJgQZ+R3AbhY8cJU8fZ4Htw205UQa4uS130pIkLnyvpa4iyhD3BJ2cGYhQPz6LIfV1dWSCfv++++XLFTnU5hkhnjd3Nws0BrXCiVzfHycJ0+elKQ0KjwfP36c9fX1Tl4NCo78jpWVlQyHwwwGg6KIyDtxiBKkQy5Mr9crUajDw8Ps7u4WkpX5gx+q0SWowc/N+nDWL2NADY8/c5s2FYrBUQM/DBDakJWJwgcGYSBUe3t7xcfGRcFFQGkYiqM4UAg04twU8VCMwyLGOmMZzd5T1ceEejchFg4CDCGHUiAPY2ZmplOdSeos96DmA6VAroYtDfkQMPZe8ORrsJjtt+OuMX78bS6EBeZYejIhWXE9cAWdpINCQeFCRPKZ/f39AusJH6I4gdcuMHMYk8W7sLCQjY2NohhI8mHROfUYw4FbdXJykq2treJWgJSSlMVrTufBgwd5+vRpzs/PS1apXTATvCTEPX/+PDs7O3n48GEhmeEjmEcQyeHhYVn8jL3dihqpIDt+/zMbrnSoBRfAOQuubrQb4ZJTrGrbttnb2ysJRAyyKwq5r1GI06xh+Nlp2JbcYTeHPR13xwI5BMq9fOoyjLWPXmOxYVUQDs6TQEl5x2SiFlgZWHQECljukl4rD9eHOCXc8N/RHDIcmQuUQXKJmFBukJkoFRAQaIeEHvoJuz8cDktG5MXFRUEX4/E4i4uLZWEfHR116hVYDCjuzc3NJJPNe51zQP4HXIOL4shHAGVZmdkls3JYWFgomYvD4bDj79dhXLgVjMd4PC6p1g8fPszz589LGJs0d3gRK+xkEqpEjpkTyzmI/KZtahSDK8BAC1iXmmW1dcCvJcLgCTSUAzICZbEersAEATDhaHGHnLyBBy6PXRmsDuy16++B6izqpaWlDiJx3Nrh093d3XINx9yxpM6EhDNBkHhOn2FhMpDIBmnlWHmQiQuuXBjmcJjj5nyPcDMLiHHH76YAiSgE4wofQbUiC48Iwfr6erG6RmfwICyGi4uLonzZAs6H/XAatnMbUBCgtNFoVLauh3fA5UL+nHhGghRnSrLrlAlk+ghS7fV6ZUcyXMb5+fmS3wGSQUGfnJwUxY1hRFGgmJFPj8dt21QohqS7IQvIwe5E0s2GZCAMr7BGjkYAPdHefB/LiCVxTQPpy2xRDsFnQhNozSL2kexAXBKWTKiCREiAweLTJ4hUwqcIB41+kt+/uLhYxolFi6Limt6TgaQjdhiquQWH7RgrFh3uEoih9t+BzKenp8WyUrCEhcc6YoVdeUqYkzHApWDvS/gGyEcr5P39/U7NAIul3++XiBGK31WpFxcXOTg4KAvTCWGDwaAoWPJTeK7rMmu9yQuuG+eY+mgCc0yMb5JCFs/MTM7ksNvkdWGU4FwFZ7OyZpyXctM2VYoBVhx/n8WddH21ZEKoeO8FJvvo6KhT9YdSoEG81bsBY6E2NzdLxR+pzN4rgUVI/QHogBRlE38oBGo2EBzy4l0DYHgJuUViT5KSar20tFSUChV9LmWGQwAJOeELlwdyC/TEIva+lYw5z8z/uEvekwI0AQFngvPhw4cFxbjcmqgPPAmFalhxxoGQJLwDO2azUFB2o9GoGAgrY3ibtbW1QnqyIS6yR10Hrufh4WHZyPbo6Cj9fr9DDrveBpSJ60Pm68rKSjn3gmgUbgRoGLlFOVBtiyJwUpyjcyh8npPngKx3DQVk8W3a1CgGHsghGe9TV6cie1LJErPiwLqRnIMSgegkMYazI13ktLGx0dn5mVAkjTAYW4VxQAz5EFgHFh2WBaRAvgHXRhkawm5vb5fwapKiWLgGrH2SogwRPqpTHTpEgEBQ7B4EfLafzmuMIRxEXUgFEoOLAHngesDswyGgUJMUhYAbsbS0lK2trSL8uDpEKJJLi0gymZPUzF2AYlxDwSJmvl08xjV6vV4pUmJhMpfmApAvlAPPgsIECfFsGIX79+9nZ2en9I/x4nuE51nU9A23jfviovk3sml+gVajkpu2qVAMJrHQcI4SOBJBM3LADWHHH95HY2I9sSAw+o4EYIW9HTyoI5mcx+CtxEhpRjEAzSGyuBckm0vA8Z2dXXhwcFDIRhZukrIXAwVV+Lxzc3N5/vx5KaVGObFhCj/eYyJJgbZsqOsIjzPpnBnodn5+XqwpyIJFbz6IJCcsFsQi32csUNorKysdOA1vtLu729nLgCI5FBjcTpKCgmorygIlpRtLbKUImgLCExZ9+vRp4Ubgcd5+++30er2SFm4XE2Pw1ltvdaJZ/Gxvb5dIg7MZQXRci34TrfHGRcyTU6lN/jJ/DmXepk2FYkgmYS4zreYWaPh2Lko6Ozsr/nPS3V3XPzMzM53dn0k9Bil4I1anptI3ICakIFWRg8Ggk/UHx4GfCZ/gGn4Sc/jeaDTKzs5Odnd3S1KSY+hkylE7MTs720EZOzs7ZR9DlCKRFu8hyZ6D7FuA0nAIGMvjWDhoDBTk+DlzgOLGKkIMg7gc9qyT0Vj0+OkokefPn2d+fr7UWhwfHxfCcnNzs5Ses2ghmqktcLSF6Eyv1yvp03wGSz0ajYrM4ZKg8OCUsOKMAe6cQ7fIWpJCUm5sbBQSG/6IcUomZ56gHDzmIDgrYtAQ7pRzTOw+f5Tsx6lQDCy+ZMI1wPqacWXQWVQ0NKeJFy8qWHfKs+0yrK+vlyxDfhhIBJlBBq5TwGRy0Gmo9BEmHBITshDhRIhBCmwUgpBjwYlebGxslCgEvAKJW2wtB2tNkg+LIkkh7YDICCCfw6IioLhhKF4iFlg0LFXNvzCPuC98j7n2Ajg9PS3uHS4d6IuICPURDn/iThH7RyGS0g6yIwkJBXF+fl4gPuFhk5aG5fAkKAeQlMO2JycnZVcwh3p5fueQrK6uFhLzvffey8LCQp4+fVrCpnYD7CK5UM2Jex5n5sNFWuZgatT3ujYViiF5dVvypHuOpT9HA9oDmWrhI3Y7NzdXyCAWGKElV0E6fm9F5QrA4XDYEVxXX2J1nV9PuIuwJEoB9ps058FgUGLW+OgQZeRRYG2SiTtAUhcQ+OLiojwPLhFIAGgOEZikvG9XzcIHOkPxOvnJ30NZQ+oZtXlRg3TIOEU5sNM1ZCmWkOfCTYQwZsGtrq4W5ULDrTk+Ps7Ozk6RGxLRer3J5riU50PowU1sb2+XUK4hu90JCOjT08sTuWvlwBgil4yX624YR6MHozSUlSNiKHOvFZ7b6AH37TNLPhrqI1A8iLO3WCyQa3YXSKpxeBOrD0zFP2eRwSfUFo0QkfdgHA6HpUSacJPJKCA5UJj9JY1QlpaWyjOzrTi79LAfA+QcCwSF5rAmYTqH/1Bk1JLAY/B8kHXUJOBGJHkleczp6CwolzJ7Xvy+58OKBJcGpYEyr2tTeGZ2gWIOQUIQuCgLFNLa2lpZDFhxrs/5pvSHYi0WadM0xTUjsoDyYUcoxoFw4/n5edlI1gSuUaFrFhxBI4Rqua7DvrzOeDL25h7MRzivgu/h2jHHn0nFQLN/m3TrJvyeLdZ1yTXJhKknucf1Dj4/wHF74DtWwEgBqE/5cjJherEyDx48KDsEwZ7Xu0FDcJGngEtCDQUCDNQlCkGoDt+b8Ci7SBvWs8ELW9MDhQm9sThg+XF3GE8WgNO8UZx1Xj7Ca5LSRFySDhrjfaMGyFfcGQi7Bw8elDTwi4uLcoI1PIt33ia/wZWI3p8TFAUxC6oBqdQhSP4mOoR8gU5OTi6Pu3Mx1sbGRo6OjvK5z32u7HXBGBFxY44XFhayvr5eIh7Mi6tajZYxWEYJdidsNPke/I4N7U3b1CgGFjsPBZxOJjs72f+DT0ARODecyeU6znjkOvjE3NuJJM4lgEOg9oEiFu9GjZXu9/t55513itXAnbD7gHDv7e3l6dOnefLkSSf5xQlXcCIoBeLsPsDE30UpQLCCFryZKVAaJYKyJL/CWZEWUIg7n8rEOBq1OYGJ9whNLi0tlUK2JAXxuI4iSSFaqYMgYsAOSaPRqGxew3wSbVhZWSlKFkVxcXGR0WhUuCP4EgwE15mbmysFW3A0SfeMziQd6+zaCNfgvPXWW2XXKt4HzRjVJOm4XyBcbw7kvARHGBgb16pYcfC6w/w3bVOjGEwcYs3wwczEJukkhGDRmCwGju84D8Abmbx8+bLUFzhmDPzc3d0troMhL33Ap8Z9IGLgbEZi9HNzc2XRGCmQvUe2JsLpPSy9ZTo+LmmyKAYEp07Ygo8AISAwcAYu4oKQs3IkKuEsOnxm8waEJJPJxi/0A0jr+3gfRZdAY82d7v3o0aMy/lybWhDzI6CMfr9f0sKps0AxHhwcdFAMHBRkMb9xBUzcMQ7IAEocZc3msRTpvXjxohyU42gMcnR4eFgMDxsNI8uMme/r5roHPldzDnA5EOc2hDdpU6EY8IlqyOqYrj/rZA9rcueLO2Ekucxbd+ELBBfXxNJRuES2GtYTwWXx4srANm9ubmZra6tYMu/l4Ou7/gEIycTOzMyU/Aoq7nyCFL4128BDVCYpiwOmnj0iECz6DylrBIBPbwvpnZWZD8+NlYNJNtwKYDf8AwuYaxA98X2IGPR6vYIwKMvmfRLLDg4OCpnL9VFERGv4HouDBUvI1fUyuCZOzHr77beL8rOlxtWEbMW9Q/FTNDccDjsbwxLpcUSJbf1AaIw3xo2/cfOSCSJmvjxvGFXQCIrmM+lKeBAgxWCha1h0//7kjEUmHMHEgjthKkkJXUGAkSILS03kgQM/yCcwNHR6MxNDNiKbq2xsbJRsOwqWgOMHBwedjV9ROmwwSxKTz0EwN+E9HvgBDVkpkI9BiM5+qZUD/jnsfjIhFJ2zAU/Dd5OJALo5Tx/lzdy4JsXhQaA+CxgFeXFx0cn5IC2cvpOnQB0Gz+o8lfX19c52ekSayEHw4rKskDiWpERRYPedmYghY0zof33S9Wg0yubmZjm9HO6KhDSfNmbozziTXu4oj9EKaMTvYTiZ189sVCKZkFpYN1tRM91O0zXMMpNOs191cnJSdtGBaMPq28rs7Ox0DpHF8mE1sDbstoT7wDZv3vUHUsrkpTMbsZq4QaAFK4X79+93svBIkwYe2+1CScEteGswFqB9V7seLBC+w3PjkyOALAbcPBQEigvhR2iNMmD8nblHdObo6CjLy8udTETyGkajUblfkpINiULs9XplZ2yyQ10TQniRRXN8PDk4t45+JekoBtwTkIZD2fBWXBclTHSJCsnRaFTyZSAuR6NRx0CYyKYGBVcm6aIGRy/4jdzZ9UFZYqhu06ZGMfCAzn507j7/81Mzs75ODf2sVI6OjvLs2bOSYER5tjdo9Y45yYR8ghB01uTm5mY59gzh5dpAfuco4JawAIlo+EwDHyzDM5hMo1AqmZwahYUFXiMQPiiWLeEguK4rmELAUbqEMk18XZeaztgTEmT8KDvG7YJDAAUYnTx//rxTacmxfrgFoAzQ297eXofgxXVjf4v19fXiPnj7PltVFDgKNkkp83ZdBMQtpezf/OY3i/JExrDQ9BEjsL29nfX19bIj9enpaXE56A+NMXdyUpJScVm/7vVSIz8QtZ/lpu21iqFpms8n+UqSrSRtknfbtv3Jpmn6Sf7XJN+S5BtJ/nzbtqPmUpJ/MskXkhwn+ctt2/7G6+7DwuVva0UG3wrDmY5WDnzPVo7vz87OFmuD+4B/7fBZnWmWpEB1chJQCpCDIJCmmZz1CEE4HA47fAW8gusoyFXgkBqEnHwJwpMI93Vknd0CFijwGQidpPjSySQpCzRktIArwBjAr4Di7CrYjUhSnvPRo0cdxIVCmpubK+gF5HB0dFTKyLkuZODi4mJZ5KCB0WhUiF8iAHAHuGWQlbwO0kQxM8bUorg0224j4WfDfKISKHojWHgHIlGHh4fZ3t4u2+/ZTXVEgf+RJ5pRmN0fXAjeh4/yWvgo7SaI4SzJD7Vt+xtN0ywm+fWmaX4pyV9O8s/atv3bTdN8OcmXk/w3Sb4nybdd/fxHSX7q6veHNmtAHtavoQisQfG17DPSUAjOLsNXx6dDMTjZxH44rzmbkbLsjY2NrK6uFoGkPygVnzyNgsD3ZEGxuSw7ReGOsNckAuREJm99bmIPy4lSSVKUgkk3QpTe3p7x9LkLuCm4Eq55MBpL0hFsvsdiPzk5KXtiOjphHsafZcEaznvTWJQiCUygBm9EY9dqY2OjIEGyFV05ur29nfPz8854nJ+fF0XrcPTy8nLhR/gBCWIQWNjmI6hRAbURoWDMLLu4KzWKc5gZZY3cWok7MQp5/ETyGNq2fZLkydXf46Zpfi/JO0m+mOS7rz72c0n+z1wqhi8m+Up72etfaZpmpWmax1fX+dDmzkP4mFzkdSfToBTw1a/6WaAToR+z5eYomHgzux5IrAVpyW+99VZnb0YQhxNY6rAkm7bADdAfhA2kwKagpNZ6F2t4ChQDyq4+QQmkhBXzmQquS8CFsTsBxGYMsDi1YjaRiBJw5iUCWmc/groIpzrSABmHsub7jiQdHByUvAzcitFo1DnohxRnCN3l5eVsbW2VkKBrElAubPPuKMV17qtlxYQx3BHXqzkWI1/u73G07JtQZPwcinQ4krG1m+C9OFAg/t5N2604hqZpviXJn0jyq0m2tNif5tLVSC6Vxr/X17559dqHKobaHeAHQscPaaIySSfZpk6JNndBYyDrUJxz3EEY8/PzRSlwaCnQldh/MjkRGX9+b28vz549K24EuznRd1wAwp1bW1ulAhPikByHvb29cuAJlgahAmZ792cUHwgFF4TsQsbTsXosNc/BonWUwXC5VsTOzHOxE4QjAg9cX1hYKLwCSu7g4KCEWhF6u3AcgIurRuSKZC+UIw13bWVlJZubmx1uhuzLtr0s0tvb2yuIyK5Br9crkSFKoJ0IxTg4JMw4IEvItCMIzj9ADutaH/7G6tuVQCFQcwFC8T2YK4zsbdqNFUPTNI+S/MMkf6Nt24MKtrdN09yqfKtpmi8l+VLSPT6Lh+PBHIrEh7q6Z0eb9nq9Qkol3R2lr+7XQRKQcNzfFYRcDyvEOQBra2slE9GnCZlX8GG4KAWKnCDGcCO8oSv1FSg34DXXwf05Pj4uaMO5/Y6aOAMRP5dFb4FkTNk0BJfDYUsUJuNk2GtUVQu9i60gO0ErLswi/DgzM1PGjTl++PBh5zu4DKSlo/gJC4JEuDZ9pZiNZLDZ2dmy2xPydnh4WJQE1wcR8jwmvEF7bnaBj4+PO8qBMQIpIHPs5eAQKEjNUTjeZyyvW+gO1bM+eMZPRDE0TTOXS6Xw99q2/UdXLz/DRWia5nGS7avX30vyeX39c1evdVrbtu8meTdJ5ufnWwbMHAMPhoA6FIPlo3m3JwQbbVwngiSTSAepr4Zt3lfRFZlLS0vFylspkC0IHHYJNZu3GA568w5i9extiAA4AsEPVhzEAbyFV4BPoS8gBYq97AoYMTivwCnWVtK1v2u3JOmiPJcKcy3IPJ6bfkP6OjOUojejQCMRK6rz8/OyP6N3TSJ560q+yh4PEKDMNf48lp6CNNCKs0R5Vgg+o1YWscPItvaWPfptI2Xlymcgjc138ez0EaVBHgTjxLVYR14fN2k3iUo0SX4mye+1bfsTeuurSb4vyd+++v2P9foPNk3z87kkHfdvwi8kKYKf5BVFYOabyeI9a0SsGe+RI2B45omCoOQ6WCWfWk0dPVmITI5JMCe1sOWbd1NmMTu0aOSBtSL27ROycAOwePSBhWIXgt9OtyYkxkJzchMIwjn81BqgOFhEFkqjARDM/Px86SMIyvUZ5oPsioAaKHZiS3lCe8y5t8PDrQQuuxjJTDzz/+jRo7IYGeter1fGCXkj2QqSlteZf5OPSUrCnL9LQ0kwZvTHLq6RNyHJ+nXkFTmxQgZd2vVx7YXd49u0myCGP53kLyb5raZpvnb12o/kUiH8QtM035/k/03y56/e+8Vchiq/nstw5X95k454YZucQTlAInrSLaBMuLVkMok0WCi5j6MIWAX8XZdp24enT66xAMqSGMXCdhEStf+EJlE2VBOen58XdOFdiqmpAObTd/gFrmFFh8WGhYcUdfGQswYRVpCPQ3qMZ5KSLuwj7pgnuxfn55NzQrk3C8bKulYOViYoKpN+KAbGzNEjmH+fPE5/ZmYmx+oZiVpGzLMkKeFQ7/k5MzPT2VIPnufBgwdFBqm54TQ0UAON15Bny77zQ+AMkFOnntcRDM8TbogjTiiz27SbRCX+ryQftGHcf3zN59skP3CbTjCo1oTJJBuSgbNPWCdEmdCxgjBUtvIxCeXqTceWbVXxM50AhNDjPpAcxaaiCC3sv4uDsEBENZzsw1Zv3n0aqOjrkBAFTEdhoRTI2ceVcKKRd2m2AKJg63Ckw8KOEvG++R4XYtFvuyWQus4V4L4kO62srHQ+C7THFTEaSSaZl3AyhEQdHvVcY7UhcxkjlM3z55enb9dGhufEHaHvJlt5LsYbOcGoGAHTkJc6MoehAhV6kZu3cGTN6Izx+USjEp9k8wJ2DXqSzoBYifAZw2uE2z6bC40MJRFyFMbJyUknrObiHbstEELAfJ8BAexnQSTpcAEcNIMQWRE6ns/GrqQzw5XU4UkWN+4QPrcLczyOCCuIge+ZsKNBAvKaFajDyS6agk8BNfCeIyJEJVBORldwDrhpJpdxw0h28vVxl+xmmpeA8KVAiiSp8Xjc4XXgjFCy/LC4Ly4uytmWTgwzn2IisY6GmSfwYkVBItP87QQ+k8J8F2OKAuNvJzp9Uq7EJ96YSLQmfnA9uJB3wGL7UZA/tWUyC+8YfTLx4xBAavcN/YFkLD4LCmTjYDDonBiEkNEHFI0Vg89woF8oAbaQcwo1YSli9mxo61wK7mu/0xYOpWA/39wNc1CHiHE/gNTJ5NBa8xtGBs7p4DAYFBPW1RmeNBaZszvpC8fAsZu0FUhy6dMPh8OCHkEL/psQJrUudl2QL/pfn3OKoif5jP1EKYxirw1cQstjTaQjr0mKMWQuyFgF5WGwGBs+jxLG4CHT5qDs8t2mTYViqKGr2V3HbvmMhcmIwPDduQj4YkyKY/EMbjIhf8hOw4LhOy4uLhaiDkXAVvIgBfpjBYMw9/v9kkKN34xAmkBDIRDnB3rCri8vL5eDTwjPYbHgJ+g3Y4tSIX2b8WIRIsggJAQQOO4t8EisOjk5KYgFuI4/PTMzUxatKwfNU8D6G/Y6KxHkRQEQPj7kJGQjDL79cjgJFDKGBuV2//794q7w/CAIQohJypg+e/asWPvZ2dmyGQ9p9tREsH8np1/jlnpxgmzcWNi4JXYrKKSj5sHrwIV0PBfuCkj1/Py87PF50zYVigFLYovjMls+g+XwPgqgCRNzSTrhIIeNkgkBhFIAgoFE8PGxGqenlwe0rK+vF58R98HnDdToBmIKxbC5uVkyJlFY/DjDEcHi+dH+CDjpuoRO7QOjxLCE9AW/l0WMpXd821aHxcnYQLRZqTAnvM9vE44gF+aBsa9JUHx9ru0MwiQdK+sxIOGJ8yQgIdu2La6Hq16RMUcT4CdQDNyX8QRJ8gxnZ5c7NK2urmZ2djbPnz/PYDDIzs5O2TyH/jMvRiMgVK5Xc2a4uXX0AgNBc5jTuSHc0+uBNXPTNhWKoWZM7bs6UQkhxZo7s4uJdDKKYRxam8ZAO4RphWMrijU/ODjIw4cPO9Vx3mSEvhPmchSi3++Xikkmz1EVdvThtGRbfRY2Kb8oCCy44/rmKRAsEIk3JwGBYIVMjHlszU8Y7posc1FbbdXsF9fhTxdUMXYsRIdZz87OSqozypZj/jgHIpns2dk0TTkGbzAYlL0QbFTgkpaWlnJ6epqtra2CtuiDS8hPT09L9ioRPQQSvgAAIABJREFUlL29vczMzHSUOjUR8Ca1f2+ZAy3RXKmJHDKvjCEK2nJPq7kL5shI+qZtKhQDzT6UyUYGI+nGd4FQCHQdkqQZUpvINFyrGV7iv+PxOG07qXBkk09nCdYLCH+YzEbSqHEhuCcWnY1X2LjDBGYyIS+JROCO0McknYQi+I066cXFUCZ4GYcabZnltnCiKM3ZeJ74rsebBQ6UR9GjaEBioAUSs6idoFiN7/p8SCsSFgC7aHOQDyFdskXZi3F+/nILeorrHFFiJ2obqv39/cIHkbsBukJGHC2pCUjGz6Swo26W+9pgOkJilM13jZD5DK8jSzdtU6EYQAC18CUT2E+zxk0mVpfP1vkQCCRCiwKo728uw4oDTgFLDHmGJfYCc/iNRB1vV48/Th/wo1kIRBJwX1BmLATqKizcyaT+HwXjeLxdGxOqfNfCWSu42uIwJs4lYT6cceewMxaXZ4XMtEI2GmHO2ODGHAFcSXK5EFAM5I4QsuU5CDniciRJv9/vVInOzMyUEu2tra3CcfCsKH8vOvJU4LoI0RLpsHz2epNToTxuuDBe6MgzRs6ySF/5rtFZjQYs485HuU2bCsWQTFI88a3Q1skklRktX7sFDJyjDxByLCwPpAfaWphrYfG4Bv4zviz9goTz7jgoIOr3WcgIogU3SfFr60NTHb/3aVbeBYnngTgjU5LEIqdiM7b49nZn4FC82S1j40pBk2goDsaBhCLG1/yJXTKuSXTApc6MiaM+7NPgDVzIaVheXi7unRXuy5cvS+Tg8PAwOzs7nc1oQW2e93v37mVzc7OMRzI5vNiLmmciW9Jy5HoUk+AoB8bKIXVkzi4Xsm7Xy5+rxws5N4nPazYwt2lToxjMG8AV1NY7SdnZ2SmxycS/gqBCS1IN55oIRzG4D78dC3cfLBzmBugfCoK9FfghjZbPObyGX0oqtbf4SiaHwnJthBqLz4QDFSHQcEXMVJPm7Zx/xhzm3QQtgmyi1ARZ0kUVjJtrJ3jWOmmK8eD5/Dy+P+nZWHRcJFyrJKWWZTQaFWtt3gZSE7TEWKDsmWP6srKyUuaCZDVHaWx0UA5Jly+wnNBQxBgdI1vkApQAmuP9JIUYJ3pTj6XJRudROLfhNm1qFINZWrS5CRaTXra8/iwDy9bu1soIglleM8UeuJcvX3YUCT6kLSSTx6KAaSdXgVOoyITD0qAgWMC4EMBhhM3JUbDw+LSEOomh27pChjKmdmtQLo4kwEngfnj3KhSLQ201a25lzrhyb/pWp647NZtnsoVEQYCmyFtAMXJ9CFnK4r1Hp9O6k8uQ32g0KrtOmyzl9+LiYs7Pz8vOT8PhsJM8ZjeDxYdxITJAM/dj+bbMMRY8iyNytUJmvq0IzO/QTDy6T44+3aRNhWIwzE+6ac6GUuTOJ13XA8XAYgVNmGjkM7ayhnvmFAyZLajAOE8yjUVPRqMzE+kzUQPyFSir9mE2WHpgPwlMWHsWBpbaOyGTjIOyoj/e7gwYXvu2PAMLq+Zx6nGwH+uoD64b44FyNlS2VXdpM/OAHEAgOlmIcWf+IA+9IQ0uADCazVd9qheGgs84ggNCITrka6EMaqTq53TExrLhEKSNHdcBZdXjwPiaHLd8WsZRyEYOZHvepk2FYki6dRAMSi1o9v+T7h6QSXdfBzQrA2WC08qG69gfR7HUC+K6sGdtSekHguAQX3K5yEAJ1FhAOta7LLkmgmxJEomwhoRRWRi2/sBzxsNlxFaoteDVGac1ueUoRY2YbBHtFpgkNtJgvFBeh4eHRdjrfSV8KLBDnoQuFxcXC8/iPpCBubOz00msIkrB/JlIZfeng4ODUsRWb17jqIsjOpabWh6QH8snzWFKxrFWrLXs2Xhaxuq1VEfqXtemQjH4oYDutghJOg/ngWWgXSvhBJLrFAHsuReNoxdoW/rl7xqSoQiAw/jFWLoXL15kYWGhTCyLmegBh854/wJqCnABgMqgBfxiBJ5iKW8fB4kIwkkmJy+xIIDHRksOs3kReyGae0HxOcLA/Bih+fmYG+9T4DAkaAZkRd0IEYrZ2ctzJh3BoqzaqIq9KbgP29yxIauLnUxaUgDmyA4LlP5TEMV7lhv4LUcWamNC3xgzK02uacTszyK7tQLiM95+rnbFb9OmQjEwAA53+WEdL2dQ7W/5806AollJ8BlSWeskJ66HcnCz+8Iidhr1/Px8Oa+AhT07O1uUg5N3RqNRhsNhBoNBhyxlAiEZsYiEK1F09AeLSho18XxvgusFAHJAoOEkIMC8ScvZ2VlReEZQ+MaEDwkloryN0FjcPKMz8KxojK68iKhD4OQpErvgkbD6FJY9evQoe3t7rxDJjNXR0VF2d3fLeJp3evHiRTnlyhvv0h8UgqMMjKm5Kz6LqwQPUZOR8FgoG+ca1OiqbdtOqrSVFWOBsajl9rbEYzIliiGZpHfyEOQKmIREC5oHqHMU0KDWwoZtdVzXdQ0maxyeMuubvBoBwdqaFKIPz58/L9V4FxcXnaPJdnZ2SqiRRujPOzs5W5F9COxG4JrgE/NsWEVbdJJieAb6eHR0VAg2FKaF06E7R3Y8bu4Xvi3CC9GK2+AdqOBlXJ9wcXFR0tPZAn51dbUkFnkbvvPz80L6gizu37/fyUGgv+zeDbJgwc3MXG4tx5Fxo9Eo29vbnZoHywHGwegUZcHCJF3bygEFYQ7CRCgLnHHjesiTXRb4CF8Ll9hIyG7dTdvUKAYvYmAZGtJVgiZcTDAC3XBDzB67+AfhZaDsV6J4QAJWSv5dF3fxN7sHYR1Z9EdHR1laWkrTNMWFYO8G1wh43wHOU0BBsKCxCGQFArNJumEsuQ5uA25IzYk4EgGMZiy9QQmIACVRp1BbefP8oClbRIfdIIt91mcd1ktS3AlQA9EBlLh3xvJGvRCXfuajo6OyEKnrAEFxH+aG7Eu7WEl3h2ZzM3UEjXngmZMJ35B0w5kf1MxDMH927ZB5R93s9tWJazdtU6UYeCAmnIfGQtVRg6QbH+a3WWNHE0x6WYuaGfa1zdx7gGt2noYSOzg4KJYYhEDmI0flQTiiwID+wGRHNnAFkkmWI0Ls/SB5bls2Vxg64xCFaPLRwoYLYu7HiMzuhku8axfQmY8ILYuDxQLBytZuoCJHFVCAkIzmJbDEIK21tbWidM0VodTG43F5JraQY2zr6AZ7QCYTkhsDgdwiaw4vWjY8trWr7DE10mWsbCAh4blmr9frbB94cdHN/6kjGLdpU6EYsDbkB5j9dy5CTQY6EsAE4Ss7pGWhTPLK4qg1sLWrIx61i4LiSroHvYI6Dg4O0jRNOZdxbm6uJMZATto3xRIRWiTcCddg9wQ/eH9/v4M84EBg+VEqwHYiFTUP4whBHfvmmo6ukAnqhWBf2xwGjD5jTP9AHdfteG3f++zsssaCMne4G9wJfP+FhYX0+/2yeQ6hXFeZJukgq+Pj46KwzYlAPrrC9fz8vJC2SbfM3xyMxwM3q45MXceBXSfndjfohzkGc2KWV8uoIx83bVOhGFgULD6Hf5IJ8+zQiwcJq5JMfD9HKAx7gdhJN+kEvxc/0cxwTfbwuieJRWurcHFxUUjB8XjcERBbUp4Z35jt36wYrmPOXcPhBeSkIb5/XSYpz2RuwILuiEMyOc6OuDjPY76iDnOaPbf7xVzhUtBfEJJhcK/XKynf+/v7BQFBHnouSHqi8vL+/fvFrfHxAnAXTgOv9/VgDpkzvmt0a+IWxAhXgOGwS2Yikzm1m2zy1gaS76O4jdBAwaCxpBs9c8LcTdvUKIaauLNisKX3wBlWMXjW5jDsZuG5D5OFm4FSSl51KZIJuqiRhT/D3/i1tnwsYiylLbYtKdmAy8vLZYHTHC6D8LQis+DiCqBonH1Jv7GOCLS3owNteOcmw38iFrg9KFtDY4Qfl8nEr+eUOXDmIGP+/Pnzcm18fvx+LLy5k5mZyaG2ZExeXFwU/ofFCZqBW7CFTSYnUDH+hKIdmmyay81gnj9/3uEUPA7elNVuGJ83+c0YOOrjKJDHyAaQceQ3f9fp9bdpU6EY7LOb0KutkRdQvSC8kH0thMeLmGs629KhMxOMXK+ODSMY7m9tGR1mtYXGkjhMRx+Sy4NWuC6W0IQmCITTkoHKFm7vq8h9rDhYpHZLUF4gK/qGsrJwAeF97ZqPMDfDgnbY0j60qz09fih7vkfocmlpqRy+Y58aNwUCEuXKHBoV4cohW56TOgph2al5HBs2uwAec8uH5d5y5AgH71ve/J4NYE0u1siMebhNmwrFkEwGAcEgUYOHsv9uwUFLGy0wyFYQdgn4jtFJTQShwWt+Ak3OfTxZKA4TlbzGNZ1v79dr9MEzYNngLfhhIbvMF5cMBYdFdx4D9wYtuOjKUQYURK83yZg0qWgLZRfDBOfLly+LAiEigeXFNWSeZ2ZmOklHHlMrNBTDeDzunMnhpDWexW6VDcnFxSQ5zIvVyIO/veAYY/9mjmolYWVh2XSouCa1uZ5lAZeOsbD8gnRseGpD4zVxmzYVioGHq0lFuwjJqxlh9uftW3mSfG6iQ298x+yyfX5PNpCt9s/9fzKxlLzmDLn6ef037gEhyGfPnnVChNQ4YDXZ/fnk5KRUVNbRmWQCh0182Z8GNQDL6YetEePIAjV0rSMbzi3wGHirNysIFBiJSK7rcCYhyo7nNN9QKxJQBQVpRm08X50ExFw618AyaWuO8nXSVh0Bs7GwsmE8XZVZI2X668gc48S4e6s8Iw5zcF47Rjc3bVOhGJIJGcNDeVPRZKItvfBtbWuLaF+MgbYWx2/DhyT0UxNzNCMKQ0a7Ml5ARixe5DQrMoSHrDwvemL31AicnZ2VRCZKpSHX7M86k9CK1bFurCsL1nC5jtxYCBmP+j18ZkcTEGR+/Jmzs7OSTMVn6TNKwsVLySX3QYiW8um5ubkOX+Cj+ThVix/uSwP9OPEIy+vPeWxqyG/Oi+dlLpA3F0dZMXjRejsB+AEjVBsgJzdZpuzy8p0ajd6kTYViYOJZRB5UL9SalLS1t4XHcjFQsNEWePMXzpFwONJQn0afbBmvc3n821EUFhQKwb756elpqbQELnMS1uLiYvFvEX5XU/JMp6enJVuSgisLlsOJJB+hYGwVTYShCJ1uXrtzjBeuBREeBJXF7z0ynVPCa0RSSFAitMiin5ubKwq0bS+33pufny+hSX6I1ICIQFZ2hxzqdgPNGI3azbQsEDZ1JMNZh4x5HdE6PT19Bc26fBuZRSaRXZO1jIv/N7pwst1n0pVIuhtewjQTUbBgGa4zcZ5kZ5iZkHS4h/vUnASfAy1Y6yYphBnRBhRCjRyAczXKoP9+3wwyfULQTk9PMxwOS5UlJCDogsVsS24flygHAmc0Q8iT566JUvrpjVQ87nwHC8/Y1XPK86MUnj9/noWFhZINWGfzmRdAOdlCoyhAhwsLC7m4uChKBFQwHo87boD3m7Dvb5jPgr24uCgbuzjnwEoRucAYcGYFMksfGXfyH1CWRh6WI5Q/73Mvh0Fpvv517riV0WeWfGRB+cew1wKMVjZCYEDsU1uD81P7YygABKaG/ParzdbbBUle3ZCj5kMMF/mbZ6wnDQHl5OfRaNQpwwauetLrftvfdJ4A4+hkHPMqjKcJNBNt5nyYNz7DIgIGI+SgE4hTV1rW7lmSTsSiJnoZGwqc2LkZ94ux5bwOR5Jq1wd5sXuBcuJ5zCUZ3fB8df+vQ5J2cXkWy6YJVhsho2bndBgBWra4tn+bL7lNmxrFkHT3WzQ56FBNDdf9v9NkGUgmwJGLGgZbgExAmjPg3p6M6zaXZXGYVHJI1PwIium697gvvEeSElrkWYw6EFCuCUdxdHTUKVAyB+DMvnoRIuT0LZm4H46pG0LbpWIcTHoC80EObduWHBMUihGe93cwT0T/vShtvf03fTeyq10E7kffTUZaoZtIrt1NEplqRFpDe8sK8+iqUhSUowte2NzPCsFog/+5j8P8t2lTpxiSyYaqZptN7plEpDmdmoHjt1N8rd1rthhFgaX1YNauBUKDVbSAOIxK3xEsk0NmoOmvcwVquEtEwunNjBdjQF0B8J/8euoLuC95BYTsTEjSL9wNeAGE38SXF7QVC1bVPjXXOz4+LnwImYdEZdhPwofWekyN+EBOVrCMm90TxshIzYscJYAyNlqow30mFG1gUFp+5tpNMGJDsYMauLaVAOiU8SFqYuMFEua5uX+9Bj6TiMG+tRcOD+7Y/3Wt9s9qwhKkwOv2jeuy66R7dDoT7D5hCZggT6hTXW3B+G3BSibnZnph8XodGmQMvOgMW7nGeDwuZN3JyUkpRea49mRSMDQajUotg9PK7RMTHvROzIyBz490GLAee66BL8726zwPkREiMZzx4AxHuyaMEVa+JhVrC8wcOvXeRiSZhHDrxYeMWZk0zeTEdOa55rSYW4+XI1SeN8sxY1/zY0aEtUtkBMl1zMF9JjkGhKN+OEglGoJgKM33zUcYXlqTYwWA54aWtYW3O4MFuW5iZ2ZmXtli3JA6ybUa2ygC4tH+cDLZpMO5FxZ6frCokFxYeIqs2LUIfoJr+3xMK084l5mZmRwfH2d3d7egjaOjo4IaUAac4AQhiuLieow7hCB7IvDskIIgIp7bHAoLLZksOs8r42yCF0uKsjbPhPX2vHu8rXyTFC7Ait/Gx7tqe1HXKLV2Czy/fAaC0i4z8o1M2dW2K8dzcS8QlUOvN2lToRiSieU0LLImxuc0RLrOj2SR2SJYa7p4yeFCW8LaD/Qk10LBpPp+NevtyANs/HX+KNflPSsULwZ8fd+j3qaMMYKk40AWoxXGGKLOChH0wALp9XqFrzA5CaoYDAYlv8LfIRoxOztbtsfnuW1RUQ7XuQy4SBwFwEJp27aE9bxgzs7OShq0FwR/G7ozDswDix83hft7zO0ecE+ub9fF/fJ88potOWNvZGCOgWdumqbwMzZkRjReO65zce3E69pUKAa7DwwoQmchqpWAv4uFs4Uyq+tJ8wLmf+5ngayJLUJINd/gheKFzO/riCL+Z9G4ShABsH9LH3zfZMKqu9WCh2AgqAgI9wCFUN2I8qI4iMVPNeN10R2fsg0k98JkTuzKeJwca7ffzXfqcmePIY1Fa5KyVtKOAlxH/HqMiTxZpvisd16uEYFdwtpo1LLA89joGYl4zGrLb8VKYz4wkB+1TY1iwALwMP6bQcXaYKXNyuPfe3DhJ5hYD5RdDO5hhcE1+a5LjNG+Jv3MT7DA6QvKhEVak0MIqbkMM/TOhrPS8/MYTlsQz87OCmFpXoTFz3dZbFjLZJKJ17aXRVB29UyQJZPt3/jtRVsvPPpgNOVIEM/LmHmxGV3Zmtvlo49wEo4s0dx/uy1GgNdFtzynPFt9XSMK95v+Mg6Wbb5r95drM481muW9JJ1dtSzLHuPbtNcqhqZpPp/kK0m2krRJ3m3b9iebpvnRJH81yc7VR3+kbdtfvPrODyf5/iTnSf5627b/9KYdwgIn3VOQakueTEI6tpAeFHIT8HsZRIepfF2gF3/X8MssshEJnzVasFAgdF4c5ivMmdShTpNX9le5HmNgITI5av4EBWBXAiEHeuNWGPJ6IfN8CFyNiLiHk8m4Rk3EeUHUipVxYgHWVpHPuG7AyqAm4ny/OtpU80eWjVo+/H3/dhIW8mqk5r7Un/FcWHZsOGq30n20TNR95xlv226CGM6S/FDbtr/RNM1ikl9vmuaXrt77u23b/h1/uGmab0/yvUn+eJK3k/xy0zR/rG3bD+xd0zQdqNi2bR4+fJhkMnGGUGb7bR1RKBY0Iwun3SIIWGuEyZENw19DUbs83ANIb6vjyfSz0WfuZwRQw8fk1W3VrrO0jiTUbk1t6SycNXylJJpMOxZ5rRiwzvbPk26qOePqnab5vhWPlQXzw/hTV+DxrlGEUZoXgefVSpRWzyUbEJMoBedlN5axrHMTeGbLGp9zGN3zTt96vV6p9bAh5HqeQ8uzZYsxwf1xn+2S37S9VjG0bfskyZOrv8dN0/xeknc+5CtfTPLzbdu+SPIHTdN8Pcl3JfmXH3YflAMD5cw859x/kJCTplyHLLl2ko4yqC28UQCwnUngXrZC5i9MIibdw3N4nXwCk0QgAJDRdRYUpZRM9o8wwvBzQs7xTCgyronwExp0c1zcffTiZCxRCl6EjgYYTczOzharzphyr9oaWlHW/ARknN03u4I8Y60Y/LueO9w1cmaQOWTBi9BuiTkFnsvl5i5ZR5aM6EwK8nxGcTYCXAdyFqPDdnTXKYyan7utUkiSWzkfTdN8S5I/keRXr176waZpfrNpmp9tmmb16rV3kvx7fe2buUaRNE3zpaZpfq1pml+z1vai8aYhtuL4wigNW9Haqvk7CN51vpctUq/X6+RU1D8Ita06E8jfzvxD4dWRCPuN1/msFib6aJRkN8aW34uSxqIxAqrhufMC3BBGJ52xwK3ASXc2AoGf8bjUJdgOe/okLYd/zdW47/TbSj+ZRFOsWJumu1GLXUAjUlwzo04s/+zsbDlHg+eoUZ7JZBb6+fl5ebbrolu1u8N9HTr1gcbMhxUY8z4zM/OKG/6xIwZ18lGSf5jkb7Rte9A0zU8l+bFc8g4/luTHk/yVm16vbdt3k7ybJLOzs60FyISMfWVgpn3nGlrVkL32tXnPjDSDBoRN0kEPXoS1Rre/h9B5MpydyH3rUKQFm37QECKTdRYiWxUrNpSgmXmeywvfLhjv16FjK1X/j2LwmHMNL0g+5x8vYPoE4vD8mKex0jSv4ucyl1FzNrxnJQAPVYcuuZ75IOax5i+82Qz3qfkExsZuMGNmt8HX9h4M9QJHPkkSqzkzI51PTDE0TTOXS6Xw99q2/UdXD/RM7/90kn9y9e97ST6vr3/u6rUPbfXC47Ua0gEp68FNXt2n30qB/211IN3qtFITVlgG3w9BscKqF4UXky2/J82CykLkPiwSKwCPDddD+Okvz8LrRg30z4vO8NzPaMWVpHOPGsL72T0/triMm902u4P1QjKBaatbj0G9aC1DtSHwomTMged1aJMxJzJjDojr8LrzDfy81ym4un+1nCArduVwIa9zb66bs9oVrOfrJu0mUYkmyc8k+b22bX9Crz++4h+S5M8l+e2rv7+a5O83TfMTuSQfvy3Jv3rNPTqa0HDWD17DZw+ik2osPB60tm0LX4FfaAH6oOyyZMKE44PWioTr25J5UYJ0mGCu74gAvqhDidb09IHFUkNJLEg9RjWzz+s+4IWFyPd8T7P8fl6+7z0nbb3s8kBAum/8T59MBnu8QTUgMtwHoL2totOZGWdgPP25uLgo90aR1QTpdXPre6IYjBwYR5o3XrFxYAyY25qrsiti16JGC3X/uBZ9u66O4qbtJojhTyf5i0l+q2mar1299iNJ/kLTNN+RS1fiG0n+2tWD/07TNL+Q5HdzGdH4gfZDIhLJZMEbZkOSWVN6G3QLjl0FCzJCw2KvJ/2qv2XB2rKwoCzohqVocvuXVlwIudEHz+ofFlxNgCFUDnVaGAztk8lZiC5BTybEFs9oiJpMciRYXFZsFxeXiTxskUY/UZz+rskuxuY6YbSicnJWjZ5MrtaLjudgPJJ0rGjNffi5eQ4IUWSAMbZsGMnZFTAK9OcxaObHahfPis6yz3f9TMnlgcmkrBudMi5Gofxv5WD0c5vW3PYLn0RrmmYnyVGS3Tfdlxu09Xw2+pl8dvp618+Pv13X1/+gbduNm3x5KhRDkjSX0Yk/+ab78br2Weln8tnp610/P/72h+3r7XMl79pdu2v/v293iuGu3bW79kqbJsXw7pvuwA3bZ6WfyWenr3f9/PjbH6qvU8Mx3LW7dtemp00TYrhrd+2uTUl744qhaZr/rGma32+a5utN03z5Tfenbk3TfKNpmt9qmuZrTdP82tVr/aZpfqlpmn979Xv1ddf5BPr1s03TbDdN89t67dp+NZftf7ga499smuY7p6CvP9o0zXtX4/q1pmm+oPd++Kqvv980zX/6Kfbz803T/POmaX63aZrfaZrmv7p6farG9UP6+fGNqRODPu2fJDNJ/l2SP5JkPsm/TvLtb7JP1/TxG0nWq9f++yRfvvr7y0n+uzfQrz+b5DuT/Pbr+pXkC0n+9yRNkj+V5FenoK8/muS/vuaz334lB/eSfOuVfMx8Sv18nOQ7r/5eTPJvrvozVeP6If382Mb0TSOG70ry9bZt/5+2bV8m+flclm1Pe/tikp+7+vvnkvwXn3YH2rb9F0mG1csf1K8vJvlKe9l+JclK0zSPP52efmBfP6iVsv22bf8gCWX7n3hr2/ZJ27a/cfX3OAlbDEzVuH5IPz+o3XpM37RiuFGJ9htubZL/o2maX2+a5ktXr221kzqRp7nc3Woa2gf1a1rH+SOX7X/SreluMTC141r1M/mYxvRNK4bPQvszbdt+Z5LvSfIDTdP8Wb/ZXmK1qQvtTGu/1H4qyR9N8h253Ajox99sdyatqbYY8HvTNK7X9PNjG9M3rRg+Uon2p9natn3v6vd2kv8tlxDsGZDx6vf2m+thp31Qv6ZunNu2fda27XnbthdJfjoTaPtG+9pcs8VApnBcr+vnxzmmb1ox/N9Jvq1pmm9tmmY+l3tFfvUN96m0pmkWmst9LtM0zUKS/ySX5eVfTfJ9Vx/7viT/+M308JX2Qf36apK/dMWi/6kk+4LGb6RVvnhdtv+9TdPca5rmW3ODsv2PsU/XbjGQKRvXD+rnxzqmnwaL+hqG9Qu5ZFX/XZK/+ab7U/Xtj+SSzf3XSX6H/iVZS/LPkvzbJL+cpP8G+vYPcgkXT3PpM37/B/Url6z5/3Q1xr+V5E9OQV//l6u+/OaV4D7W5//mVV9/P8n3fIr9/DO5dBN+M8nXrn6+MG3j+iH9/NjG9C7z8a7dtbv2SnvTrsRdu2t3bQrbnWK4a3ftrr3S7hTDXbu0JCnoAAAAOklEQVRrd+2VdqcY7tpdu2uvtDvFcNfu2l17pd0phrt21+7aK+1OMdy1u3bXXml3iuGu3bW79kr7/wA0/2bM067L6wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"blurred = conv(source_img,psf.data)\n",
"plt.imshow(blurred,cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### pupil from the \"defocused\" phase"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2.42301346 2.41508046 2.66978112 2.95633329 2.55233169 2.33808571\n",
" 2.60958757 2.10080179 2.30801088 2.88456303 2.26828812 2.59723076\n",
" 2.98516996 2.33695395 2.1116734 2.30096843 2.98335566 2.32914982\n",
" 2.63371549 2.66748027 2.86445269 2.94913953 2.70886134]\n"
]
}
],
"source": [
"# defocused\n",
"# c2[idefocus] = coefs[idefocus] + 2 # or any index\n",
"c2 = coefs + 2 # or any index\n",
"print(c2)\n",
"phs2 = sum_of_2d_modes(basis_set, c2)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 432x288 with 2 Axes>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x7f04fee6b3a0>)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pup = Wavefront.from_amp_and_phase(aperture, phs2, wvl, dx)\n",
"psf = pup.focus(efl, Q=1).intensity\n",
"psf_radius = 1.22*wvl*fno # 1.22 lambda / 2NA; 0.633um, f/# 4\n",
"psf.plot2d(xlim=psf_radius*30, log=True, cmap='gray',\n",
" clim=(10,1e9), interpolation='bilinear')"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f050489abb0>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"blurred = conv(source_img,psf.data)\n",
"plt.imshow(blurred,cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The old syntax way of defocusing\n",
"\n",
"The following cell is just the code from the stable syntax version of the notebook, the whole notebook can be found here:\n",
"\n",
"https://prysm.readthedocs.io/en/stable/examples/Defocus%20and%20Contrast%20Inversion.html\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"from prysm import NollZernike, PSF, MTF, SiemensStar\n",
"\n",
"from matplotlib import pyplot as plt, animation\n",
"\n",
"from IPython.display import Video\n",
"\n",
"defocus_values = np.linspace(-2, 2, 100) # 100 defocus values, spanning +/-4 waves of OPD (zernikes are 2r^2)\n",
"source_img = SiemensStar(64, sinusoidal=False) # 64 spoke, square bar target Siemens Star\n",
"\n",
"Writer = animation.writers['ffmpeg']\n",
"writer = Writer(fps=12)\n",
"\n",
"\n",
"def plot_loop(idx):\n",
" for ax in axs:\n",
" ax.cla()\n",
" \n",
" pu = NollZernike(Z4=defocus_values[idx])\n",
" ps = PSF.from_pupil(pu, 4, norm='radiometric') # pu defaults to diameter of 1, this makes F/4\n",
" mt = mtf_from_psf(ps) # mt = MTF.from_psf(ps)\n",
" blurred = source_img.conv(ps)\n",
" blurred.data /= 4500 # arbitrary normalization to get the Siemens Star about the right brightness \n",
"\n",
" # use a faster interpolation to be a bit nicer to RTD servers\n",
" pu.plot2d(fig=fig, ax=axs[0], clim=2, show_colorbar=False, interp_method='bilinear')\n",
" mt.plot_tan_sag(fig=fig, ax=axs[1])\n",
" ps.plot2d(fig=fig, ax=axs[2], axlim=50, show_colorbar=False)\n",
" blurred.show(fig=fig, ax=axs[3], show_colorbar=False)\n",
" \n",
" axs[0].set_title('Pupil OPD')\n",
" axs[1].set_title('MTF')\n",
" axs[2].set_title('PSF')\n",
" axs[3].set_title('Image')\n",
"\n",
" fig.tight_layout()\n",
"\n",
"fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(10,10), dpi=72) # ~720p\n",
"axs = axs.ravel()\n",
"ani = animation.FuncAnimation(fig, plot_loop, frames=100, repeat=True)\n",
"# ani.save('../_static/defocus-contrast-inversion.mp4')\n",
"ani.save('defocus-contrast-inversion.mp4')\n",
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that as the image moves out of focus, annuli of zero contrast form at increaingly large radii, and in at each the position of the white and black bars reverse. We also see that the PSF is quite structured, and has many rings of high and low intensity. This structure in the PSF is a consequence of interference, and is the source of the contrast inversions in the Siemens Star."
]
}
],
"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": "3.8.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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