{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics of Particle Image Velocimetry (PIV)\n", "\n", "Using open source PIV software, OpenPIV (http://www.openpiv.net) written with the great help of Python, Numpy, Scipy (http://www.scipy.org) and runs online thanks to the great MyBinder project." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is it about? Particle Image Velocimetry (PIV)\n", "\n", "From Wikipedia: \"Particle image velocimetry (PIV) is an optical method of flow visualization used in education and research. It is used to obtain instantaneous velocity measurements and related properties in fluids. The fluid is seeded with tracer particles which, for sufficiently small particles, are assumed to faithfully follow the flow dynamics (the degree to which the particles faithfully follow the flow is represented by the Stokes number). The fluid with entrained particles is illuminated so that particles are visible. The motion of the seeding particles is used to calculate speed and direction (the velocity field) of the flow being studied.\" Read more at http://en.wikipedia.org/wiki/Particle_image_velocimetry.\n", "\n", "Particle Image Velocimetry (PIV) is a non-intrusive state-of-the-art technique for flow measurements (e.g.: Raffel et al., 2007, Adrian, 1991). The PIV technique is based on image recording of the illuminated flow field using seeding particles. The technique is based on illuminating the particles in a plane by forming a coherent light sheet. The light scattered by the particles is recorded on a sequence of image frames. The displacement of the particle images between two consecutive light pulses is determined through evaluation of the PIV recordings and by applying a spatial cross-correlation function as implemented by the OpenPIV resulting with a two dimensional two component velocity field.\n", "\n", "In practice, small tracer particles, common sized are in the order of 10-100 microns, are introduced to the flow. The flow is illuminated twice by means of a laser light sheet forming a plane where the camera is focused on. The time delay between the pulses depends on the mean velocity and the image magnification. It is assumed that the tracer particles follow the local flow velocity between the two consecutive illuminations. The light scattered from the tracer particles is imaged via an optical lens on a digital camera. \n", "The images, acquired as pairs correspond to the two laser pulses, are than correlated using a cross-correlation function and image processing tools in order to provide the velocity field.\n", "\n", "The effectiveness of the measurement results strongly depends on a large number of parameters such as particles concentration, size distribution and shape, illumination source, recording device, and synchronization between the illumination, acquisition and recording systems (Huang et al., 1997). An appropriate choice of the different parameters of the cross correlation analysis (e.g., interrogation area, time between pulses, scaling) will influence the results accuracy. Read more about PIV in the following chapters: Gurka and Kit, in Handbook of Environmental Fluid Mechanics, CRC Press, 2014 http://www.crcnetbase.com/doi/abs/10.1201/b13691-39 or Taylor, Gurka and Liberzon \"Particle Image Velocimetry for Biological Mechanics\" in the Handbook of Imaging in Biological Mechanics, CRC Press, 2015, http://www.crcpress.com/product/isbn/9781466588134.\n", "\n", "\n", "### Open source software to learn the basics\n", "\n", "In principle velocimetry is a method to find out the velocity field of the moving fluid. \"Particle\" image velocimetry is the way to get velocity field from images of small particles, called tracers. The basic principle is to use two images of the same particles with a small time delay between them. For that purpose, typically two laser shots are created and two images are taken.\n", "\n", "This tutorial will follow the most simple analysis path from the two images to the velocity field and some post-analysis. We will use one of many open source packages, the open source particle image velocimetry http://www.openpiv.net" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# import the standard numerical and plotting packages\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from skimage.io import imread" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have downloaded some sample images from PIV challenge, \n", "see http://www.pivchallenge.org/pub/#b or another standard PIV images project: http://www.piv.jp/down/image05e.html" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# load the images\n", "a = imread(\"../images/B005_1.tif\")\n", "b = imread(\"../images/B005_2.tif\")\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(9, 4))\n", "axs[0].imshow(a, cmap=plt.cm.gray)\n", "axs[1].imshow(b, cmap=plt.cm.gray)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two images show the positions of the particles at two different times. We can analyze small regions of interest, called interrogation windows. Typically we can start with a size of 32 x 32 pixels or smaller. Until recently, the fast algorithms used powers of 2, so the historical sizes are always powers of 2: 8, 16, 32, 64, 128, ...\n", "\n", "Let's take the first top left windows from each image." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "win_size = 32\n", "\n", "a_win = a[:win_size, :win_size].copy()\n", "b_win = b[:win_size, :win_size].copy()\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(9, 4))\n", "axs[0].imshow(a_win, cmap=plt.cm.gray)\n", "axs[1].imshow(b_win, cmap=plt.cm.gray)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the bright pixels moved between the two frames. We can find out the distance that all the particles moved between frame A and frame B using the principles of least squares or correlations, but let's first try to get it manually.\n", "\n", "If we shift the window IA by some pixels to the right and subtract from IB the shifted IA, we shall see how good the shift predicts the real displacement between the two." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.imshow(b_win - a_win, cmap=plt.cm.gray)\n", "plt.title(\"Without shift\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(b_win - np.roll(a_win, (1, 0), axis=(0, 1)), cmap=plt.cm.gray)\n", "plt.title(\"Difference when A has been shifted by 1 pixel\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try to find the best shift algorithmically: shift and calculated the sum of squared differences the minimum is the best shift" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def match_template(img, template, maxroll=8):\n", " best_dist = np.inf\n", " best_shift = (-1, -1)\n", " for y in range(maxroll):\n", " for x in range(maxroll):\n", " # calculate Euclidean distance\n", " dist = np.sqrt(np.sum((img - np.roll(template, (y, x), axis=(0, 1))) ** 2))\n", " if dist < best_dist:\n", " best_dist = dist\n", " best_shift = (y, x)\n", " return (best_dist, best_shift)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, (2, 0))" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# let's test that it works by manually rolling (shifting circurlarly) the same\n", "# image\n", "match_template(np.roll(a_win, (2, 0), axis=(0, 1)), a_win)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "best_dist=170.43180454363556\n", "best_shift=(0, 1)\n" ] } ], "source": [ "# indeed, when we find the correct shift, we got zero distance. it's not so in real images:\n", "best_dist, best_shift = match_template(b_win, a_win)\n", "print(f\"{best_dist=}\")\n", "print(f\"{best_shift=}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can draw this as a vector of velocity\n", "\n", "$$\n", " u = \\frac{\\Delta x \\text{ pixels}}{\\Delta t} ,\\qquad v = \\frac{\\Delta y \\text{ pixels}}{\\Delta t}\n", "$$\n", "\n", "where $\\Delta t$ is the time interval (delay) between the two images (or two laser pulses)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(9, 4))\n", "axs[0].imshow(np.roll(a_win, best_shift, axis=(0, 1)), cmap=plt.cm.gray)\n", "axs[1].imshow(b_win, cmap=plt.cm.gray)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Well, maybe it's not the best match, but it is already better than nothing.\n", "\n", "The problem now is that manually shifting each image and repeating the loop many times is impractical. However, based on the same principle of finding the right shift, one can get by using a different template matching principle, based on the property called cross-correlation (cross because we use two different images). In short this is an efficient computational algorithm to find out the right shift. You can see more details here: http://paulbourke.net/miscellaneous/correlate/." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Size of the correlation map: 63 x 63\n" ] } ], "source": [ "from scipy.signal import correlate\n", "\n", "cross_corr = correlate(b_win - b_win.mean(), a_win - a_win.mean(), method=\"fft\")\n", "# Note that it's approximately twice as large than the original windows, as we\n", "# can shift a_win by a maximum of it's size - 1 horizontally and vertically\n", "# while still maintaining some overlap between the two windows.\n", "print(\"Size of the correlation map: %d x %d\" % cross_corr.shape)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let's see what the cross-correlation looks like\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(projection=\"3d\")\n", "Y, X = np.meshgrid(np.arange(cross_corr.shape[0]), np.arange(cross_corr.shape[1]))\n", "\n", "ax.plot_surface(Y, X, cross_corr, cmap=plt.cm.jet, linewidth=0.2)\n", "plt.title(\"Correlation map — peak is the most probable shift\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y=30, x=32\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let's see the same correlation map, from above\n", "plt.imshow(cross_corr, cmap=plt.cm.gray)\n", "\n", "y, x = np.unravel_index(cross_corr.argmax(), cross_corr.shape)\n", "print(f\"{y=}, {x=}\")\n", "\n", "plt.plot(x, y, \"ro\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The image of the correlation map shows the same result that we got manually looping. We need to shift `a_win` to give the best possible correlation between the two windows. If there best correlation would come from no shift, the result would be `(31, 31)`—the center of symmetry." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dy=-1, dx=1\n" ] } ], "source": [ "dy, dx = y - 31, x - 31\n", "print(f\"{dy=}, {dx=}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can get the first velocity field by repeating this analysis for all small windows. Let's take 32 x 32 pixels windows from each image and do the loop:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def vel_field(curr_frame, next_frame, win_size):\n", " ys = np.arange(0, curr_frame.shape[0], win_size)\n", " xs = np.arange(0, curr_frame.shape[1], win_size)\n", " dys = np.zeros((len(ys), len(xs)))\n", " dxs = np.zeros((len(ys), len(xs)))\n", " for iy, y in enumerate(ys):\n", " for ix, x in enumerate(xs):\n", " int_win = curr_frame[y : y + win_size, x : x + win_size]\n", " search_win = next_frame[y : y + win_size, x : x + win_size]\n", " cross_corr = correlate(\n", " search_win - search_win.mean(), int_win - int_win.mean(), method=\"fft\"\n", " )\n", " dys[iy, ix], dxs[iy, ix] = (\n", " np.unravel_index(np.argmax(cross_corr), cross_corr.shape)\n", " - np.array([win_size, win_size])\n", " + 1\n", " )\n", " # draw velocity vectors from the center of each window\n", " ys = ys + win_size / 2\n", " xs = xs + win_size / 2\n", " return xs, ys, dxs, dys" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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82PU3Fry6ix1zUpl2z0YmtP6V1/rP4/f/7qCssHb9FNMTi5j6euxf+kQm7833eHwbfkvmg7tWMenfG420zJrz0W5eumwJy6cmWM5yOt18+OJaMlKLLWcBZGeU8M5zq3C7zcy1v3trJt98uMVIFsAfCw7w2097jWRlZ5Wwf3+ukSyAhIQ8sjJLjGS5XG727smmqMhMA+2/OFprnKoPYCzwUeXtkUBM5e28w+6XW/n5f8AN1ZZ/CYw7Qu5dwAZgQ5s2bTxq7aO11plpxdpe5vD48YdLOVhgLKusxKE/um+N3rzgkJG8/KxS/dLlS3TqfjNjTN1foCecv0CXFlt//lwut149KV7PfHyzvp+p+omoGXryDav1xmkHdEle7duZ5WaU6nHNvtdPjP5dz/hgh05NsLbOnz60Vo/1mazH+kzW79+5UjudnrdEc7nc+uFBMXqsz2R9kW2ynvvpHktj27gqRXcLfF9PuG+xpZwqk97ZqDv7vadnfbfLcpbT6dIPXD1Hdwt8X+/fk2M5Ly+nVI/u8Y0+q9NXRv5vJ32xWd928yzLOVXuvG22/vzTjUay3G637tXtYx27Ld2jx2OldZlS6hXgRsAJBFJxjHsGMAgYqbVOVUo1B5ZqrbsopZ6q3CC8Uvn4ecALWuujHio5mTvg2EudBATV5lTCP5fncrlxOzV+AdY62le3e2EafoE22g1riI+Fwy5lJU5cTjch4Z4fv6/iKHex/IdEErfnciA2lwM78ug+vAmPfnM6fv61X/fc9FJWzTjAgdg8DuyoON9w1dO9uPyxHh6PMX5XDu9NXMMj/xlGu84Njv+AY9Bas3LhQaZ+tp23p4zGP8Da34vT6WbG5J3E7czhmbdGWMoCKMiz88WbG2ndPpwrb+tpKSvlUCGrViZxxVXdLY8LYObPuxk4qDmt23h+Hqq6D99bx30PDvLoFbyx1mVKqZHA41rrsUqpN4Bs/f8nJ6O01k8opXoA31NxXLsFsAjopI9xcvJkLtyifirILsPH5mPpxG4VrTXZh0qIaBLo0YagutISB0HBfpbHBBUnih3lLgICzWzoy0qdBATajJ0jMLWuDocLPz8zOx8ms6zmHatwW/mNvgr8qJS6HTgIXAmgtd6hlPoR2EnFXvp9xyraQpwI4Q09P55/OKUUjVqFGMkyVbQBfHyUsaINEGjwlSOYW1eThdZkVl3kVZFmwUIIUQ9Js2AhhDiJSOEWQggvI4VbCCG8jBRuIYTwMlK4hRDCy0jhFkIILyOFWwghvIwUbiGE8DJSuIUQwsucNIW7KNdeb/PKy1yUlTiN5VWxlzgpyja73gAlWXZyE4qM5wohzDgpCveWhSks/na/sbyfXoslaZfncz9X53K6eeeWP7D5musK43K6WfFFPO+MWkpAiJn5I7L3FrD67d1MPnsRU0YvIbih9fnNhRB1w+ysMSfA7tWZ/PeypYyfZn26SYA5H+/mm6c3MzXnGstZbrfmvdtXkbQr3/KscVAxC92WWYeY8dQ20nYXcOvkIfgFWsstTCll+tV/cGhtNgBBDf25beV5BISbm+xICGGWVxfuhK05vDB2EfYSJ9G9rM1hDLBkyn4+uX8djduEEBJhbbpPrTWfPriOJVP2M+KatpbH5ix3MfmO9az5NhGAlr0iGHp9tOVct9ONLaDihZePr2Lc1OE0aO95r81Fr+4idmYyzjIXjjIXzjI3Xc5rxsVv9SXQg41BVkIRDduGGJtKVIiTgdceKinKK+fLf2+gOK+ckAg/GnnY27DKge25/PDiVgCie0RaHt8fPyay4sfEirye1jcqvv42Oo9o/OfX417tY6lRgdaazZPi+bTfXJRSdLmkFWPeH0DbM5t6lOdyuNk1N5XU7Xkkrc8hNTafgkOlnPtMd678bGCti7bL4aYoy878l3cxscMcpj+4id0L0nCWezZDcNUsmNn7i0jfXeBRxuGmvbzNSBu0Kg4P1+2IWQ6zMymbzhPWeO0ed2ikPw9PGs7Pb+ygIKvM8h5ZdM8GPDxpOEu/20+4hd6LVc64uh32EhebF6TQtmek5TyAQ7H53Dp5CHuWZNDz/OaWsrRLs/2HA5z9Uh8G3NWR/IPFRLb1fE+7vMTJd9evptM5TWnWMwK/IBvXfzuUxp3DPMrbvyqL90cu+fPrZR/EseyDOEIa+nPRy70Zdnu7Wm24Fr+2m9iZybQb3ojVn8Zz8Zt9GXZ3B4//bt65dSVLvo0nL72MO98ZZKmzfdr+QhZ9E09xXjl3vTvY45wq8btyePGRZfxv+oWEhFpvFLFwdjwLZ+3n1S9HWc5KTipgyeIErr2+F76+1vcbt2xOIzmpgLEXd7acBfBbTBzNmofSf4C1/y+o6DD1/ZRYRp7V1lhHnT8drafZP/kxYMAAj3qyVTHRM7Gu8txuty4rMTs+h91pJMftdhvJqVI1ri0/HtTOcs97Omqttb3YodP3Fugpt6613L9Sa63Td+fruRNi9cTWs/Sjaqp+VE3Vn1+4TBekldY6qyC7TN/fZ9afPSzfufUP7XR4tr7ZKcX6iRFz9VifyfqeHr94lHG4GZN36r6RH+n/vbTWcpbT6dIvP75Md/F/T69ectByXsqhAn360EmWc6rMmL5LP/rQPGN5Tzy2QP80bYexvBGnfaUPHsjz6LFY6Tn5T5BGCuJokrfm0qJnhKXDQlXyD5Uw+cpVFKaV4bS7cJS5CQz35fIPB9D9whY1znHYXSTvKfizf2VibC6tukZw88v98fWr/TjXxSTz8rglaA3TC68z0gM0K72Ebz/cwh2PDyAswvoVQntis1g4ez/3Pu1Z/8TqfouJ44KxnSyPCaCgwM6WzWmMONP6+R6AlX8cpEfPJkRGmumQZGVdjfWcrCtSuMWJpLU2cvLTSs7yqQm8ecMK3ts4lnZ9oiyPxcSY6iqvPo6pLrKs5tVVz0khTgqm/lGt5Iy4ph0lBQ4ObM8zWrhNX41jIq8+jqkusuoir4oUbiHqiTF3dSY3vfRED0N4Aa+9HFCIk1GDpkEnegjCC0jhFkIILyOFWwghvIwUbiGE8DJSuIUQwstI4RZCCC8jhdvLaXfdvIGqrnKFENZJ4fZiW7/ZT8Z2Mw0fqpQXOdj4+mZSV6UZzRVCmCOF2wu5XW4WPrmZpRNiadLTzKxjrnIX27/YxbTBP3NoRSrNhzczkiuEMO+keedk0q48WneLNJLlsLvISi6heQfPpiQ9XFZyMcHhfgSHW59isyy/nF9uWs2+uan0v7MDysJ0olXiZyWw/qVNFB4oBGDU12cZnfvBnlZAeU5xxUduxWeA1lcPwhZk/TkR4lRzUhTuGW9uxz/I10jhdjndvHHdCq55rrf1gQH5mWW8NG4pb62+wHJWbkIR0y5ZTlZlI4DOY1tazgRo2CMKe24ZANFjWtNssGfNFI5EKUXWH3uJe3vBn8vCujWn5yvjpGgL4SGvP1Qy99O9fPXkJqINNCtwuzXv37GKtb8m0aqr9UMQRXnlTDh/ITabsjTRfpXItiH0uLoNPr4KvxBf2p5lvcDa8+0svX8Foa1DaTq4CYOeHmA5s0rx/kzi3plPwucr/lzW7MLe9Pv4RgKbhhv7OUKcarx6j3vZDwl8fN8aAMuFW2vN5w+vY/G3+2nVNQJ/i014y4od/OfiRezfnMOo2zpayqqSl1DMqjd2cf6HA3EUO/G1OEZ7vp25Vy/AVe7iwp9G4yx1EtrK8y44AK4yB5lLdpPyy2bytyUT0bc1nR47j/zNBwnt1JQWl/eX/pFCWOS1hbsor5yNvx9Ca4hqHkR4Q2sTnx/ckUdCbB5gfSMAsG1xGnlpFYcf2hpoZKy1JuZf62h9emP63trecvFzFDv+UrQDLT5/jsIyEr9YTtrc7aAUzS7oRZenLiCkbSMAGg7rgF94zSdQcpaUU3Ion9B2DfE5rMWVs9SBb1Dtelg6SpzYAnyMNGQAcDrc+Pr5UJxbTkgDM4d8ctNLjU0ypbUmL6NMJq06SXlt4Q6N9OfuD4cw6IKWHIortJwX3bMBj04ezs4VGZQWOS3nDb6oNZHNgohbn0Wb7pGW85RSDPhXR1oOaWhkj9U32Je2F0bT9bpOlos2gC3Qj7LUfDo9dh6NR3bFFvDXP63aFG2AvG2prLt7Oj6BvoR3bkxE96ZEdGtKePemFMVnkzp/D13uP53Q9g1rlLfo6a2kbc7los8G4xtsQylFuIcNpp3lLl4esoDB10aTuD6Hu38a7lFOlX2bsvnqyY2ERPjz9PSRlrIAFn8Tz9zP9jL4olZc+WQvS1mLvo9ndUwSPU5rwiX3drN8yG/P7iw++nADb717npGek3PnxLFzZxaP/XuY5SyAd99aQ6fOUVx4kfUeli6Xm8cens+/7hlAt+6Nj/+AWvDawg0QHObHGVe3M9Zpu0mbUJpcH2osr/OgRnQe1MhYXvcr2hjJgYoNQd8HrP1TV+fjZ6PX61cay2s0NJpzl9xD/q4M8nemk78rnYxlqylNLUD5+qCdbtKXxtPqou50uvs0gpof+5j58Ce7M/e+DXw+aB6dx7YgJ76Im5ecg19w7f8FfP1tDLyqDT8/uRWA+DVZdBjayKP1zEkt4c3rV3BobwFNokM8yqhuxx/pfPLAWkqLnDRrZ+2wF8D+bTks/TGB4vxyLru/u+W85i3CSEoqMFK0AYKC/SgtdRjJAiizOwms5au5o7HZfEhOLqR5CzNXp1Xn9Scnof53rZBjup7xbxBM49Pa0vGOIQx462LOmnsn5y65h6h+lVfTuDXJs3aw+uYfSPpl+zE3kGHNg7jy59M5++U+7JyeRNrmXH69Y61HG9Xi3HIS1mX/+fWMJ7d6vHGOah7Mc7POJrJJIBkHiikpKPcop0qP05vy6Den42NTJG7Ps5QFMHRsm8rPrS1nAYSHBzDxxTONZAGcNrw1V15lfYNS5fJx3Tj9DDPrCvD8xBHG+ldWJz0nhVdxlTrIWneQgEYhFR9Rwfj41ewkrdvpZtl/trNtSgKFyRWdZs58vidnPNPTo7HE/ZHJz09uJX5VFg/OGUGvC2recPhwCVtzeOrs+bwQcw5dh1l/Wb1kyn4+/NdqpuVd61ED4youl5srW0zl4/UX07SN9T14UXPSLFiIarTWpG/JY8+vycTNSeH08d3peplne1laa7bOPsS6Hw5yx3dDLZ383L06k7SEQkZe197jjOrmfLyb3iObWX5/w/R3tnPFI55t3ITnpHCLWtFaY49PILCjmQJS35Vk2wluGGApw+V043Zp/AKsXaLpKHfh528tw3Re1RU04p91rMItvw3xF1prcn74CfuBgyd6KP8Yq0UbwObrY7loA0aLtqk8Kdr1j/xGxF/kzZpD/rxF+Lcy83Z6IYR5UrjFn/LnLyJ35q8A+Lfy/ESbEKJuSeEWABRv2UbuzBgAbA0isYVYv6ZYCFE3vPoNOMKckL69KezWGWd6JraG1t+iL4SoO1K4BQD2A0mUbNpKy4lP4xMk81sIUZ9J4f4HuN0al92FX5CZp9te7CQgxOyvLndWDMH9ehMQbe5t9UKIuiHHuP8BK97bS0HlTIFWaa357altRrKqVO1tN7h0rNFcIUTdkMJdx1Jj85jz1Db8LM6dXWX95ER2zkkxklVF9raF8C5eXbgd5S52r880lrc/Nodii5P8VOcoc/HdDWtwlbstNz0AyN5fxC8PbjK2EQDZ2xbCG3l14Y5dkc7iH/Yby/tj5gE2LjC3Nzv3mW2kxuYD4Bdo7al2Od18f9Ma7EVOfC1mVSd720J4H68u3GvmJLE6JsnYfNcVeWbe6p0am0f88v9/NWCz+HborT8lUZRhBzCy9w6yty2Et/Laq0q01qyOSSJ1fyEHd+cTbXEGtKyUEvZuzCb9QBEulxubxRZXzXtFMuD6aMoKHPQY28Jy55D+10YTOyOZlv0a0KSLmYnZZW9bCO903OqklApUSq1TSm1VSu1QSk2sXB6llFqglIqr/Nyg2mOeUkrtU0rtUUqNrouBJ+3Jxz/QRuPWIcT+kW45b+uyVJq1CyWicSBxG7OP/4Aa2D47hT5XtOaiN/taznKUudj9exqDbmnH6InWp9h0pGca39t2azPPG4B2lqAzNxnLcxTacRnslOK0u4xl1UWeOMlprY/5ASggtPK2H7AWGAq8DoyvXD4eeK3ydndgKxAAtAPiAduxfsaAAQN0bblcbm0vc+qSwnLtcrlr/fgj5ZUUlWt7qcNIntZalxWW6+LsMiNZWmudn1KineUuY3n21LRa3d91aJN224uO+L1y12Kdb++vXe4ME0PT7pQV2vXTIO1a+i/tzthoOW/1ndP1lufnGxiZ1plxBfqpsOm6IK3USN6mHw7o17r/pt1u6393c7/aq+8ZPEs/deE8fSi+wHLe189v0tdET9Wv37bc8v9Fud2pX7x2ib6h00/6u5e3WB6b1lpP/mqLvueuGCNZWmv9wL2/6UlfbDaS5XS69JnDv9Yb1qd49Hhggz5KzTzuHndlRlHll36VHxq4BJhcuXwycGnl7UuAqVpru9Y6AdgHDPZ0w3I0Pj4K/wAbQaF+lg9DVOUFhfjhH+hrJA8gINSP4CjrU4ZWCW8ehM3gFJv+zZrW7gFlebhWvH7Ecwq+6gx8VBtKnROMnHNQzU9HjZ4Owc3Qy+7GvexuS3vgXR8aTvKsnST/usvy2Bp2CCU4yp/1Xyew4dtEy3ltT2tI+q4CtvyYRNxia68eW3YMZ+/GbA7syqe5gZ6TAcE2MpNLcJS7Lf9f+PnbKCt2krq/kNAGZv4v+vRtSo+eTYxkAfTo2YQ+fWv5f3EUNpsPvfs0oWcvs42CoYYnJ5VSNqXUFiADWKC1Xgs01VqnAlR+rnr2WgJJ1R6eXLlMeLuAMHTCEtw7Z/ztW0r5EuT7Ok69BIc7xsiPU2Ft8Bn0gpECHtmjGd0fH0Hsi4so2p9jaVx/fBiHLcCHOU9tY/9ya5ejupxuVry3l4AwX6Zcu5rcgyWW8roPa0x4wwCGjm1tpNfpsMqek8MM9Zys6l059MJWRvJ692nKVVeb7DnZlb79mhnLe3bCCAICzJ9KrFHh1lq7tNZ9gVbAYKXUsQ6yHumv5W+7YEqpu5RSG5RSGzIzzV2LLeqOCqg4Kepe+z/cmX/fc7WpTgTaHqbM9QJube53aqqAt72uL42HR7PxsRhcpQ6PXxn0vLQVxZkVV/hYPTZt8/Wh86hm2AudALis5tl8GHx+K4ZeYKbQtukWQavO4QwabWbfa+iFrenQN4omrc30r1RK0biJuZksGzcJMfaKG6BJ07qZZbNWr7u11nnAUmAMkK6Uag5Q+Tmj8m7JQPW/mlbA3y6O1lp/prUeqLUe2Lix+ZcSog5UFm7cTlyLnkeXFfztLv4+dxg9ZFKd1QKulKLPxFG4Sh1sf20p+ydvxO2ofaFs0DqYcR9XdJRylFk/qdh1THOG39exMs9tOe/sa9rTZ6SZvUalFHe9NojQSDOHNhq1CObm5/sZyTqV1eSqksZKqcjK20HAucBuYDZwc+XdbgZmVd6eDVyjlApQSrUDOgHrDI9bnAj+YdCgHfj4YRt6P/j8/SVgXRwy+dvPOE4B184StKP4iI/1Cw+k3xsXkjRzB7vfW0nmqgMejaHf1W0YcEM0Trv1Qgtw0et9aNotHKeBDcGg0S3xN9BGrYqpwyR1lXcqqsked3NgiVJqG7CeimPcMcCrwCilVBwwqvJrtNY7gB+BncDvwH1aa7nW6WTgH4Lv+W+joofjTlyO8g8+4t3q6pDJ4Y5WwDm0GL3iPnR5/t8e43a4SPx+M7g12ukmefZOj3/+ZR/0J6xJoJVV+JNfkC/XTRmKdhs4sWvg2LY35Z2KpMv7KcyeU0JA1JGL77G4D67GtWgCvtf/gvI/8jE8rZ0UO69E0Yxg34/+kX9WXXgQvXsSHPgNcENER9QZH6ICGx02Ns2BqVvZ+cZyUHDu4rvwj/CsABdl2QltZO7KIdN5wntJl3fxN2WZRSRM2ezRY1WrQeAfgk5YcvT7/AOHTP72M8PaoFqPBltl4cvfh156J7o49bCxKdpe25fh311DUPMwUufv9fhnmi6yUrRFTUjh9iImXx1lLE8gfUm8R49VPr74dDwP997fj3m/f+qQyV/G1mwY6oLZqBGfoPo+Do0HomPfR5dm/O2+Ed2acMa0649wzZMQ9ZsUbi8SP9vMBFgA6csSKNyXTcmhvx8HrgmfTmPQ6dvQ+cnHvN//X2XynPGrTI5GBTRANRmI6ngNPgOewWfoK6igI79JwzfEn+irev8j4xLCFCncXqK8yMEfz2wycvLKZXeStabiaor0pZ5Ni6ui2qMadcUdd+y97v8/ZLL0HztkIsTJTgp3HcpPKTWWlbQklcLkYtI3WZ/IKWttEq7Sijd8pC/zfD5z1XkM7rjf0frYl8SdiEMmQpzMpHDXoTkTYrEXO41kJfx+qPLzsQ9N1IR/eABdHhxOaLso2l3fz+O9eJ/250BpLjrl+Cc5T8QhEyFOVl5fuE0WAZNZLqebrTMOsWeh9SlntVuTOL+ycM+1Xrgb9G1BQFQQ+EDTM9ujPHyLrwqMqLimO27u8e8rh0yEMMarC3dRfjmrDJ6w27QolaxDR37HXW0lrMqiJLec7THWW6Flbsuhca+K6c5DWwRTmGxmjCb4dDofnbAMXX78MckhEyHM8OrCvXHBIVbM9Owty0eyZs5B1vxmfY8WYPuvFQV7R0wKbosnFBv3ieKMVyquwx/9+emEtqz9m2bqSk2u6a6u+iETp3sTWv99vhMhxLF5deFeHZPEurnJuFzW54vQla3Q1sQkHf/ONVC1p12QVkbSRmvTiB7+rsP69Jbhml7T/ef9qx0yKXH+C4d7eR2PUIiTj9cWbpfLzbq5yRRk29m1xvrL7gM780hLKGLTohTKSqydUCwvdXLD10MIjvLn+q8G4x/sta09a6Sm13QDaO2m3PUD4EKTjVMvrPsBCnGS8drCnRpfyLCxrRk2tjU56dYvu0s/UMTpl0Uz4oq2JO/17E0pVfyDfGk7pCFNOofRsG0IzXtEWB6fzd+HBl0iUIZ+Y75hAQS3sj4uqLymu1lvdHbc8e+rfAi0PY2/z40AONxL0frvvSC1KwO3y/r5AQDtLMedlYh2m5nrzFFkpygx10gWQEFaKblJ1hooVHGUu8hIKqK4oBxHufX1dZS7SN6bT3mZ0/IhP5fTjb3UyaF9BUbGBlBcXE5mhrlzPlmZJRQVlRvJcrncpKUWUW5oXf/iaD3N/skPT3pOivrFk36Jduf3Os/eSTtcK//2vbLce7S9YIKJoWlXRrwufmO0dpcduV9mbaXM36vnn/WpkSyttf75kU36iyv+MJI1/d3t+vKm3+mr20zVGUnW1/f121foMUFf6wfPiLHcE9PpdOm7BvyiLwz7Rr//4GrLY9Na688+2ahvvn6mkSyttb71pln64/+tN5Lldrt1zy4f6Y0bTkDPSSFqwpPj7v62awnx/Ran/nsjBFvAWbjsS41counOT4fAUFRA3XQjsWL5R3Gk7SwgL6mEha9b74c5cFRL8rPsRDYJpHEr6+vbfWhjHOVuOvZraPncis3mQ/teDSgrcdJzuJk+kaPHdOC88zsYyarKG31+RyNZSiluurWP0VZoVaRwixPK12cIAT63/W25zf9MtDsN7bRezHRBOircTANY0wJCfNk1L43EtTm4HNY3Um26RdC8fZix1mVDKnOGXWgmb9jYNth8FYPOM9MKrU10BJeP62YkC+CSy7rQrl2ksbwHHhpstBVaFSnc4oRT6u+XNypbE3x8e+EqX2w5X+en4xNRPwt39wuaU7Uj2/OiFpbzlFIMG9v6z6a8VjVqEUzfkc3ofaaZvcYBo1rQ/5wWxlqhAQQGmjv5bzKrLvKqSOEW9VbF4ZKaXR9+LPV5jzuscSBthzakQZtgWvQyc7J4zK2d6Dyg0fHvWEP3vDXEWCu0kHB/7nj5iL0BRC1I4Rb1ls3/bNzO7WjX3+fSrg13fjqqnu5xQ8Weds+LWhi7Pr99ryijL8879IkyllUXeaciKdyi3lK+XVE+zXCVL7OUY3KPO21JPKkL4nCXOdn+8hKPusQfrudFLeg51vphEnHqkMIt6i2lFLaAkbjsnh/n1vZiKCsydow7vHMjUubuwVFopzS1AB8/64cQmveIoMs59fcVgah/pHCLes3mfzau8lVoXebR43VBxeyMpva4g1tGENaxIQBNRrQzkqmUwuYn/4qi5uSvRdRrPv5DAYW7fI1Hj6+La7ibjmxf8fnM9sYyhagNKdyiXlMqAJv/aR4fLqmLK0qantmeiO5NCGwSajRXiJqSwi3qPVvAWbjKPXsXZV1cwx3ZqxltxvU0milEbUjhrufcbs2Btdb7TO5fmIbTXvMrIJzFZSR/tYDsZbE4coss/3wrKt5Fme7RuyjrYo9b2XxoM66X0UwhakMKdz3n46OYdts67EV/n0GvNuwFDqaMWkxRes1O8vmGBBIxpAsJb/zM5qteIfbO90j88FcKYxMtjcMTnryLUmuNc+8fFddwhzdFlxYaHpP864gTx+v/+qzOnV2dvdRpZFKjUotF9nB5SSXMemSLpYz2o5qRuimXSafNJ21LzaYkDeveho4TrkXZfChNzCB70Rb8osIsjcNTtX0XpVIKx+rv0RnxOFZ9i+vQ9jocnRD/LK8u3FmHilk4ZZ+xvNUxSRzYmWc558eXY8k4YO7wgi3Ah7Vf7if2F8/bqgWE+dH2rKYUJJUweeRCds+sWaefyMFdaPf4OAD8G0Ww44GPyYhZhzbQdag2qt5F6XbVvPmyT6NoAFRQBLYOQ+pqaEL847y6cK+Zk8RqQ63GANbEmMkLjvDj2fMWkJtmvcEDgF9gxZs8frxzPQWpnmd2vqhiRjZXuZuyAgcuR82Kb6Nz+xL9wEX0/OQ+Wt10DklfzGPHAx9TtNvcc388Ve+idJfXvNWZT8OKwu3b/1KUqQ4UQtQDXv3XvDomic2LU40cLnE53aydm8yaOdaLUdueDUjdV8iEMQsozLFbzguK9COogT99rmhNUabneZ0uaEHP66IJaxlE5o78Wr3po+nFQ1E2G00vHUbvrx4huG1Tdj70KQnvzMSRX/dd5z15F6VqFA0Bofj2HFWHIxPin+e1hbusxMnmxamUl7nYvMh6i6udqzMozKnoX5mf5dm79KpE94wEIDE2j08fXIfLae2wwg0/DGPgjdFk7y+iRe9Ij3PCWwVz4UeDGPvZENa9v5ek1Vke5fg1CKX9E1fQ7a07Kd6dzLZb3/lHDp9UvYvSZV+G23X8DaxPw2h8e49B+QfV6bjqExONs0X957WFOz+zjPvfG8qdrwwkvKH1uX39Amzc/eZgHvxwqOW95MZtQuhxRhNGXN2W+z8dis3X2tPcvGck/a+PpkmXcMsnT/2CfWl3VlOGPNyFgoPW9pTDekbT46N7aXnTOaR8v9TInrc7L4vS+VMonv7eX5Zrdw7OstlAGfb8u6AGb4FXEU3x7X8ppXGJ5MxbYXlsVVKWJ5Oy3PPzDYfb9nMSyZvN9LD88rENzHpvp5FXegAp+wtZ+F08B3blWe456Sh3kbgjlyU/7idlv5mrfPbszmLZ0kQjWQDLlx1g107rzcehYiMaM3svaanmL6f12vbjTaNDueD2zsbyug5uTNfBjY1kKaV4btbZhET4G8kDaDOoIW0GNTSWd+6rfY3kKJuNZpcOo8nYwfj4ejbhktYaZ+JO7Gvm4Ni1DlvTaAKGjf3rz/GJQtmiazc2Hxsulz/Jb35J6CAz1127XW42vLCa1qPb0mJEK0tZpXnl+If68ssjmxn1THda9WtgKU9rzcKv4yktdLB7dSYPfH4awWF+ljKn/HcL87/ZR+cBDflo7cWWsnz9fHjhysUciivgkvu6cf+7Qy3lAWzdks7KP5I4c2Rby1kAv8zcw6DBLejW3XotsNl8ePm/K/hu2jgDI/srry3c9Z3Jou0NPCna2mGnfNsf2FfPwZVxEL/uQwm7/UVsbboecW5qv5C7cdkXoF17a5bvdJL89iT8mjSk2S2X13p8R3JgTgLFqcV0u9P6huDQljx+nxBLQUoZ0UMb4ih14hfk+b9k5sFiSgsd+AX4cMHdXSwXbYChF7Zm/jf7GHK+9Y46SikGj2nFjL07jbVWGzW6Aw2izB0Ku3BsJ6M9Ih99fJjRVmhVpHCLf4TW+s9i7M7LxL5uHvYNCwBFwKBRhN74ND4Rx+7aopQ/AeGvUJZ7VY1+ZvrXM3CkZ9PutX+jfK3/qbtdbmLf3UTXW3oQGBVoOc9Z5iLhj4rzDL88vJm7F460lJcYm4fNVzH+x5H0Gmmu1Zivn4+xVmjDxrZm7qS9xlqhNWgQyLmjzMzSCHD2OW2NNbQAGHeluX6Y1UnhFnXOvmkJKjgMFRD0l8MhQWNuxr/X6Si/mr868fHriW/w7ce9X97i1eQtXk30xIfwjQy3MnwAkhYcwFniMLa3DeAoq5iCIDDCj2snD8HH4rsxk3bl8ejk0xk81tohnOpCwv05+9r2dOpv5jBdrzOaMfKqdsZaoQFGC63JrLrIqyKFW9QZ7XZTuuA77CtmokIi0KWFFYdDbnsRW/SRD4fUhF/I/aBLjvr90rhE0r74kWZ3XEVQp7Yejv6vYt/fTP6+PFqfF43Lbubduk57xRUg4/43gAZtrE87e8bVbWnSxvyMhXe+MtBYKzRfPx9ue3GAkaxTmRRuUSe0vZTi6e/h2LXuz6/D/vUavi07WM5WKgDUka8kcuYVkPzml0ScNZTIs4dZ/lkA2q3J25uLq9TJoSVJ9Li3DyHNrec6y1z0u7YN/a+r3UnXo6mLog3QoKnZyylN552KpHAL49z5WRTP+gRdUohfj2H4RDSqOH7tMjevzOHsyak4cwvI/HFuxcnIW82dyS86WIir1IlviB/nfDOGBl3MNLsNbRLI5R/K3qeoPSncwjgV3pCwm579R39m7oJV5C1ejS04yNjJyCp5e3PwCbBx1qTzaNS3ibHcrmOa1dkxUHFy89o34Ij6658uRm57OfnL1qHt5biKSyjetsdofv6+PM78+ByaDTPbiV2KtvCU7HELr1ewejPuklJskeG0uPtaQvv3MJrf4YrOBDUJNpophBVSuIXXy1uwkrChfWl2x1X4hps/QSdFW9Q3UriFV3Nk5tBg9BmEnzFQDj2IU4YUbuHV/BpHEdHYzFUeQngLOTkphBBeRgo3kJ5odtpFE3mZCUUU1LCx79G4HG52/5JMqaEpPoUQ9YMUbmD7snRmvLXDWN4v7+xk6+JUSxmRzYN486zFzH4hlrJCz5oPV3W4eafVL3xz7iLWvLubnH1mu50LIf55Xl+4TXRlj+4ZyVdPbOT3z2o2XejxNO8Yxn8vXcKetZ5PyO4XaGP0E135deIOnu4Qw+IP9+Isd9U6p+ulrRjxXE8OLs9k4RNb+LTvXLZ9m1CrjKLUEnJ255G+MZPk5akk/HaQvT/tpzDJ/ATxQojj8+rCXVBg57eYOMs5rbtHoBR8dO8alv1Qu6J2JG17NqCs2MkLFy4iYZvnnU2G3diWFj0iKMy0M+3hzcyasN2jLiTDx3en+1VtAHC7NDn7CnHVYiPgKCznj6fXMWP0XH69fAG/37SUtf/dhKvcbWTDKYSoHa8u3IsWJDB7lvW95IAgX5p3DENrWPrdfvIyrHVnr+o5WZRbzuJv4j3uOelj8+HyV3vjY1MoH0VYkwCPZmlTSnHR54NpdVojrvzxdLZ8vZ8vh84nIzavRo9v0DmSi34exXlfnUloy4prmu35Dn4Y8gtT+v7Monv/YNd3cbjstXtF4Ha4jlj4XXYnpWkFtco6Fq01ztK6myfFU1pr7MVOoxu/olyz5zNM5pUUOnA6pCemCV59OWDvvk1p1NjMTGPDx0XTqFUIwy5vQ2QTa5kRjQMZe18XWnWN4LzbO1nqOdn7whZcPLEnLXtG4Cjz/I/eL8iXa2aNIDDCn9anN2bhk5tRtppvBJRSdLgomjZnt2DTe9sJaRZEm3NakrIynUMr09j2yS66XF2zmf+0W5M6fw+Hft1B/3cuoXBvFvm70inYmU7+zjQK47OJ6N6U0765zqN1rWraoLUmecFBtr27kcYDmjL4xeEe5R1u6fPbCG0WxMB7OlnK2TYnhcR1OcTOTeXGTwcS3d/6ZY1vXLeCoDA/bn9rII1bW5sqtqTQwQsXLqJp21Ae/fZ0bBbnC9+1MoOf39hOv1EtuHK8mTnNFy9KYO+ebO6+d6CRvM8/3US79pGcO6q95SyXy81/nl/O9Tf2onMXc20HwcsLd4cODejQwVqfvio3vNjP2JzDAHe+O9hInlKKC57ubuTNJYGV7dSCGvhz0WdDPMrwC/FjyNP9cJW7sPnbCI8Oo+t1HWv0WK01WasPsOf9FRTszsAnwJf5p32AdrkJiW5ARLemtBjbncjuzQjv6tlkTomz4/GPDMBV5mLbuxvJi8uj8/Xd6HF3b4/yqisvcpCxI5+Vr+/imtkjLGW5XW5mjN9Gyo58ogdG0ayL9WYPToebbUvTcJa7yc8q47lZZ1tqX3ZwRx571mYRtz6b0KgA7v5gsKW/wwM78ohdms6etVk0aBbEubfU7O/mWFwubbQZb1paEa3bWP9dQEXPyc2bUnnwEc/+147luIVbKdUa+AZoBriBz7TW7ymlooBpQFsgEbhKa51b+ZingNsBF/Cg1nqe8ZEbZrJom86rj+8ItPnXroNJaWoBO15bTMbS+D+Xue1O+rx0AU3ObI9f6JHn166NuB92s2b8CgIbBlFeWE7n67tx1qTRBDez3qSgNLecmDvXkrWnkD43t6PDKGsTcq/+NpGUHfkA5CaVcGBTDp3PsDbzYEpcAc5yN41aB/PI18Mt95w8EFtxfqbnyKbc/qb1d6ZW5V10f1fOudn6vOwAZ4xoQ9Om1n+/VS67vCsdOprZGQR47oUzadjQ/PzjNdnjdgKPaa03KaXCgI1KqQXALcAirfWrSqnxwHjgSaVUd+AaoAfQAliolOqsta79JRHipBHUPJyB716Ks9RBeXYx9qxi7Nkl+EcFGynaOz/fxsYX1wJgzy3j3O8uoNlp5mbzi5+Xyp7ZhwDof2cHS419y0udzHoulsAwX0Y/0Y1zH+5MYKj1xr4HtucR2SSQ/84/z0hThQM78ugypBHPzjwL/0DrrcYO7Mjj/H915uZX+hvbGQkM9KV3n6ZGsgB69jI3bS/AoMFmZ5Sscty/PK11KpBaebtQKbULaAlcAoysvNtkYCnwZOXyqVprO5CglNoHDAZWmx688D6+QX74tookuFWkkTytNdve3sT2j7fQoHsUkV2iiOzSAGX4FdTemIqibQvwIaRxgKVu7Cu+2E//ca258JnuhDW23nS4SvahEv7z+7m07Gzmpb7yUTwfcw5BBjYqLpebDv2iuPvDIfXyFaS3UbU5o62UagssB3oCB7XWkdW+l6u1bqCU+hBYo7WeUrn8S2Cu1nr6YVl3AXcBtGnTZsCBAwcsroo4FTmKyilJLSasbQQ+fnVzkZSr3MXbLX/BL9jGldPPoOUgayeainPLCWlQ8wbJNVVW4iQw2NxpK5N5jnIXSil86+h3dDJSSm3UWh/xrGuNn0WlVCjwM/Cw1vpY12odaXP6t62D1vozrfVArfXAxo0b13QYQvyFX6g/EZ0a1FnRBjj4RyZRHcO4bdV5los2UCdFGzBatE3n+fnbpGgbVKPfjFLKj4qi/Z3Wekbl4nSlVHOtdapSqjmQUbk8GWhd7eGtgBRTAxbin+bj58NNi87Gz3BhFMJTx90EqooDUl8Cu7TWb1f71mzg5srbNwOzqi2/RikVoJRqB3QC1pkbshD/rOgzmkjRFvVKTf4ahwM3ArFKqS2Vy54GXgV+VErdDhwErgTQWu9QSv0I7KTiipT75IoSIYQwpyZXlfzBkY9bA5xzlMe8BLxkYVxCCCGOQs4WCCGEl5HCLYQQXkYKtxBCeBkp3EII4WWkcAshhJeRwi2EEF7GK99VUFRYjr+/D/4BZoafm11KZFSgsclvcrNLaWBxKse8jFIKsuy07BxuqRFDldT4Qmy+isZtQjxez9K8cuKXZeIb6INfoA3fAB98A20EhPrSqGOY5TEKIWrGKwt3QKCNuy/9lUtv6MaFV3e2PPd1UX45D107l4deGMoAA1OBrl6cxOKYBB56YSit20V4lBHWMIApE7awaHI8rbpG0LZnJB0GNGTsfV09mvMhLMqfF8Yu4uCOfKJ7RhLdI5K+5zbn9Cvb1jgjKNIft0vz3fVrKMkp/3P51V8OMlK4cw4Ws2NOKh1HNKZ5D8+et8NVdcMR4mTilYdK/PxsjLulO4/fPI9vPthiOa91+wg692jIdSOns2VtquW8MeM6sX9PLteOnE5OZolHGTabD/d9PJSLH+xG4rZcln6fQEGW3eOJekIbBPDivFF0HtyQ3aszmfdFnEdzQPe+vBWPbxtD5/Oa/blsxv2bmHzlSsoKHLXKcrs1iWuziXk2llf7zuP56Bh+fmgzW2cms35KYq3HVp3L6WbBf3eQuCqLtB35pO8y08MyM6GIwiw7bpf13onOchc5ySUUpJcZGFmFAzvyPO5xeiTxu3NwmszbZTZv7/ZsY1nexCsLN1QUx2feHsFVd/Q0knfPU4P47ydn02dws+Pf+Th8fBRPvDqcD6ZdQFTjYI9zlFLc8mp/bnixLy27hDP4wlaWxhUU6seE2ecw5OLW9BrZlE4DPZvpLqJFEHf+NoJL3+tHnytbc/NPp9GgTTABYbV7AZd7sITdC9LYvSCNQ1vz/ly+Z2E6B9bneDQ2gOz9RXw0cjG/T9jOlOvW8Eav39n0nfVpgw9syuHL61fz2vCFzHtjt+W85Z/FM+2hTTzTKYa9KzKO/4AaeP3a5dzRYQbbl6dTXmZtpgmtNS/cv4RbRs+guKj8+A84jsJ8OzeO+plXHl+O2229QfKWtalcOuh75kyz3jC8ypOPL+S7b7cZyXK53Fx8wQ9s2ZxmJK86rzxUAhXF8ab7+xrLa9gkmCtvM7MRABg6svXx71QDSimufro3/Ua1oPOgRpbz/ANtjP/xTA5szyXCwiT+Pj6KMx7oTP/roglpGEC3C2p/iKlh2xDGPNuDMc/2oCCtlB1zUtkek8IFE3vSsndkrfO01mz4JpGZD27CXljR1d030Ien4y+kYTvrHWFmjN9K/Opsghv40+8yaxvRskIHMf/ZQWGmnbaDomjlwfr+LbPESdLOPLSGGW/u4OmfR1rKWz7vABmpxTz64mkEh1hvpvDFW5vo2L0hl9zQzfLhTa0170xYzaU3dqP/adbayFXXunU4HTuZaexrs/nQrHkoXbqabRQMXly4TzUminYVXz8fOvQz88cU0tB62zGA8GZBDLu9PcNu97y79t6F6RzalMtpd3fEN9CGX2DFyVMT3XB2Lkhj54J0ACKaB5K+t9BSg9/5b+2mMNMOQEiUP9mJxQT3sTZPd1XR7n1WM56cNsLy/Neh4f7EbLkePz/rbctcLjdnnNeGhycONXLOITerlOfeOZOO3c0Wxcuv6EZTAz1Kq0x44UyCgqxv9A5Xqw44dWXgwIF6w4YNJ3oYQhyR2615adB8CjPKuHhiL4bd1NbSlT4F6WU83SGGZt3CGfdaH7qdbaZn4sKv9zH30728OH+U5UbB4sQ7Vgcc2eMW4jh2Lkhj8DVtOOv+Tvhb6DVZZf20g9zy1WAGXNHa6BUvSilemHOOFO1TgOxxC3Ecbre2fEy2LvOqyKWPJxcjPSeFOFWZLrJ1UbQBKdqnECncQgjhZaRwCyGEl5HCLYQQXkYKtxBCeBkp3EII4WWkcAshhJeRwi2EEF5GCrcQQngZKdxCCOFlpHALIYSX8crCnZdTRmJcnrG8hL255OWY60KyY3MGDoe1SeyraK3Zui4Nq3PK7NuUzdLv9pOwNQeH3czYhBAnhlcW7ogGAUx8cAkvPLCEzLRiy3mNmgZz5fBpfP7mRspKnZbzHOUuLuwzhd9+2mu504dSio0rU7hp1Ay2rvO8k0b7vlHsXJXBg/1juCLse+7tOYs5H1vv4gKQEl/Akmn7jWS53Zrd6zPZuOCQkTyAhG25xrK01kbzyoodpMYXGssTpwavLNxKKR6eOIypn8WyOCbBcl5YRADX/asX7z2/msS91v8p+w5pTpeejXjv+TVG9uSvv6c3yYkFfP7GRo/35H18FPd8OIRxT/TA7dIk7cqnVRfPG/LuWpvJ5+PXc1uvGdzU5We+e3mrx1kul5vVvx7krX+t5Nroadw/LIYVM623GgNYMCmOV65Yys6V1luDuVxuPrp3LZ8+tI7MJOs7DEV55Tw3eiFT/7sNl4EelgBJCfksm5toJAtg2e+JHIzPM5b3+89xZKV71of1cG635qdJ2ym3W9/ZAsjOKGHu9DgjWVAxvsJCu5E2bYfz2vm4+wxuxo8rr6bXgCZG8q67uzfDzm5D195mOs08+t/TaNgkmPBI6x1iAgJ9+Wj6WDp0a2CpG4lSilteGUBIpD/Juwvodprnz13rLuF07N+QrJQSctNKCbTQ2spm86F9nygyD5WQfaiYgpw0AoOt/2nOem8nXzxaMV3w8qkJdB/u+fo6HW7eueUPlk9NBGDXygwaX9PO47y8jFImjFlIwtZc4tZncc2zvWneIczjvCrvvbCG36fHEbPlBtp2irSU5XC4eOnRZdhsPvy06mpCwyx26Nmfz+M3zWP05R15Y/Joy7Mk/j49jmfvXoy9zMUN9/axlAXw8SvrmfLRVtp0iKBHPzN1ZfjgSUz65hIGDqp9a79j8drCDdB7oJnOIVBRHE0VbYB2nRsYywLo1rexsawrn+xFfmYZ/oGebwRCIwM466r2nHVVe1xON/FbPW/uC9C0TSgX392Vi+/uSmmRg7TEIo+ztNZMfXEb30/cStN2obTtGUlE40DKy1werbO91MlrVy9n07xDRPeMJLpHJKVFTo/nv85MKua58xaQfaiEzoMbEd0zkvSEQsuFe+fmDNIPFfHtonGWizbAz1/vpO+Q5jz4/FDLRRvg8zc3ctcTA7ntkX6Wi3Z5uYsfPo/l5c/P5dIbuloe28H4PLZvyuCr3y8zVrR9fBRXXN2Dfv2tNyA/nDRSECedwhw7KXEFtOkRSVCo9W4wafsLsZc4adE5HD9/6/0X4zdnExLhT5O2oUbn5s5MK6ZR02Bj83JnphXT2FD/RZfLTV52GQ2bBBvJK8iz4x9gI9BARyKArPQSGjYJMj6neXFxOSEhnm30jtVIQQq3EELUQ9IBRwghTiJSuIUQwstI4RZCCC8jhVsIIbyMFG4hhPAyUriFEMLLSOEWQggvI4VbCCG8jBRuIYTwMlK4hRDCy0jhFkIILyOFWwghvIwUbiGE8DJeWbjzcsqImbrHWGeJnZsz2LAyxUgWwNLfEkjan28kS2vNL9/uojDfbiknbkMWH9+/ljkf72bHinSKcq3lCSFOHK8s3JFRgfyx4CCXDf6BlQsPWs7r3KsRz/5rEXdf9ivxu6w1BADo1KMhFw/8nv8+sozc7FJLWUopgkL8OLfLZL56d5PHrcs6DWxElyGN+Oyh9YwfOY9rG01j9ge7LI0NID+rjPnf7uPbF7dYzoKK/pU/v7eDBVP2Wc6q6l/59fOb2LnGeusygNIiB2tnJxnJAkiJK2DvuixjeYDlxtJ1lXWq5dXllNleWbgBHnx+KLnZpQQbmCjf19eHR18cRsLeXBo3tz5xfMvocK6+oycZqcVENAi0nHfeZR3o1COKcrvLUuuys2/swPhpZ+LrX/Frb9PN856T6+cd4qERc7iyxVRev3UFsz72fCPgcrmZ9fGuP/tXfvzYOlbO8nyDXFxQzqdPrOeaNhX9K6e8tJWdazI9zqtSmGPnufMW8OXjG4jbYL3YJsbm8uSZv/PZw+soKXRYzgPYuCqFdyesNvZqdPIHW1jwS7yRLIA3n17FlrWpRrJKSxw8fedCMlKt9/8E2Ls9m5ceW+7xztHhpn+9k1++tb5zdCRe27qsRZswfll/HVGNgozkjbq0A4NGtDTSIxLgnqcGERrub6TDiVKK96ddaGRdh13WhgmzzyZ+cw59zmnucc6g0S2J7h7BmjnJrIk5iNtCr1ubzYeL7+5Kr+FNWR2TxOqYJKK7RXqcFxLuz+0vDWDIBa1YE5PE6jlJtLHQGBkgN62UCWMWkBibB0Dc+mw6DfS81d2etZm8cOEiinLLKcy2k7K3gI4DGloao9aaN59eycH4fC6/uTvRHSMt5eXnlvG//66jY/cohp3T2nL7sg0rU/jirY2UlTroPaiZ5f+Nb/+3lV+m7GboWa255Hrr7cvefm4VG/44xBW39LDcxrC0xMH7E9cQ1SiIMy9oS4OGZupUFemAc4pyOd3YfM294LKXOgkw1EaqvuVlHCjilauW4efvQ3TPBkT3jKRdnwZ0H97Eo1ZX25ak8b97VtMkOpTonpG07dmAzkMa0aZ7pEfjq7Jq0UHWLEnmjscHGNkBmfzBFgKDfBl3S3d8Lf6taK158eFlnD22HcPPbWO5RVheThmvPbGC2x/tT8fu1jZ4ANvWpxEzbS93PzmQqMbW26v9NGk7xUUOrvtXL/wDPPu7k9ZlQlhQWuQgMMTXWD/CkkIHwWHWD/Edzul0Wy6wdZVXdejGVI/N+ryupvKOVbi99lCJEP8UEw2Hq6uLog0YLTym80w2RYb6va51kXe446YrpSYppTKUUturLYtSSi1QSsVVfm5Q7XtPKaX2KaX2KKVG19XAhRDiVFWTzcLXwJjDlo0HFmmtOwGLKr9GKdUduAboUfmYj5RSnl8GIYQQ4m+OW7i11suBwy9uvgSYXHl7MnBpteVTtdZ2rXUCsA8YbGaoQgghwPPruJtqrVMBKj83qVzeEqj+7oTkymV/o5S6Sym1QSm1ITPT+jW2QghxqjB9BP1IZyCOeNmK1vozrfVArfXAxo0bGx6GEEKcvDwt3OlKqeYAlZ+r3k+cDLSudr9WgLlJQIQQQnhcuGcDN1fevhmYVW35NUqpAKVUO6ATsM7aEIUQQlR33Ou4lVI/ACOBRkqpZOB54FXgR6XU7cBB4EoArfUOpdSPwE7ACdyntTbzxn8hhBBADQq31vrao3zrnKPc/yXgJSuDEkIIcXReOzugEEKcqqRwCyGEl5HCLYQQXsYrC3d97nphOk9rXaedNIQQ3scrC3d+rp3Xx/9hrPPF9k0ZfPbGBspKnUbyZn+/h99+3GusC8lHL6831jXEW9TnjWld5AlRG15ZuCOjAgkO8eO8bpOZ/f1uy3m9BjRl9eIkRvf4hp2brfcmPOfi9rz4yDKuP3s6OZkllrKUUowYE801I35iwr2LjbVVSk8roqTETLssrTUJCXmWc/Iyy5j/TRwTr1rMj29tP/4DjuPQvgKmv7uDx8+dy5Yl1jZ8brdm97qK/pUPjZhDXmaZ5fFVKSk283uAinGa2gEBs2Or73laa6N5JcWOOtvAe2XhBrjl4X4MPKMlfQY3M5L32EvD6T2wKR27R1nOCg3z575nBjNidFsj3TR6DWjKtf/qxemj2ljqOQngcLh4/521DOz7Oenp1l+xZGeX8siD87hozPceZ/zZc7LnDF6/7Q9WzDjApkWev+G2uKCcjx9bxx29Z/LJ4+vYsjSNHas83yCnJhTywhWLuf+0iv6Vu9ZkEr/FelNpgAP78rhmxE+kpxQZyZszbS8PX/ubsVd7bzz1B5++tt5Iltutuf/KGObNsN4IGiAjtZhrRvxEwt5cI3kr5h/grotnUV5uZufo09c28MZTK41k/U3VMdQT+TFgwADtCYfD5dHj/ok8h8Ol3W630TyT7HanLitzGMsrLLRbznA6XHrL0lT9yeNr9a+f7bacV1JYrlfMTNSv375Cb1+ZZjkvO7VY//blHv3itUt0fnaZ5TyttX74ut/0uV2/1isXHrCcZS9z6LM6faWvP/snnRiXazkvYW+u7hHygR5/+3xdWGD99zvru126b+RH+tPX1muXy/r/xoT7Fusz23+pF8zaZznL5XLri/p/p8cNm6p3b8u0nJeeUqT7Rn6kH7r2N52TVeJRBrBBH6VmSusyIU6Q1KRClvyWwBW39sDf3/q09auXJFFe5mLEmGgjbdZmfrOL7v0a06WXtca5UPGqavL7W7j4uq40amr9VWhOZgm/Tt3LNXf2JCDQeiOvrevSSE0qZPTlHY08d7/9uJdW7SPoPbCpxxnSc1IIIbzMsQq31x7jFkKIU5UUbiGE8DJSuIUQwstI4RZCCC8jhVsIIbyMFG4hhPAyUriFEMLLSOEWQggvI4VbCCG8jBRuIYTwMlK4hRDCy0jhFkIILyOFWwghvIxXFu7SEoexieIBiovKjWXVRZ4QQlTnlYXbx0dx77gYlv2eaKQ1UFpSEfddEcPe7dkGRgeLf03gv48sIzvDWtsyIYQ4Eq8s3AGBvoy+rCN3XTybKR9ts5zXoVsUDRoFcemg79m2Ps1y3gVXdWLNkiTGDZtqueckVLQbW77sAHF7zWxYCgvtzJq5m8JCu5G8tNQiZs203vsTKjoy7d6VxdIliUbyXC43q1cmsT3Wei9RgJISB3PnxJFl4PdaJSkh31hWfHwuC+bvN5aXnFhgtG+i6TyTz53D4SItudBYXmpSIU6n21hedV5ZuAEuvr4L9z87mIuv62Ik74HnhvDIi6fRc4DnHSuq2Gw+PP7ycP7z0dmWe05qrVm4IIEvP9vMtq3Wi4/D4eLHqTv58vPNZBh4RZCdXcpXk7Yw6YstlrMA4vbm8MVnm5jza5yRvBXLD/LF55vZsN7zHpZVXC43M3/exRefb+bgQTMFY93yZMb2/Y4NK62PLzExjy8/28SM6bsMjKzCxAeXcM/lMUYaEJcUO7hp1M+8O2G1kUOdu7ZkMrbvdyyZk2A5C2D6Vzu5bMhUUg6aKd5vPbuKW0bPqJtDp0frafZPfnjac1IIb+Z2u/XVZ0zTj974uz4Yn3eih/M3a5Ym6eFtvtDTvog10vP0o5fX6UsHfa//WGC9v6bWWt8+9hd977hf9b6d2Zazigrt+qyOk/TLjy/T2Zme9YisbsemdD20xWf66/c3a7uHvV2RnpNC1D+pSYXkZpXSvV+TEz2UI1q16CD9hjUnKNjPcpbL5eaP+Qc5Y3Q0Pj7WezrmZJaQuC+f/sOaW84C2L0ti9Bwf1q1DTeSt3ZZMj36NSY0PMDjDOk5KYQQXkZ6TgohxElECrcQQngZKdxCCOFlpHALIYSXkcIthBBeRgq3EEJ4GSncQgjhZaRwCyGEl5HCLYQQXkYKtxBCeBkp3EII4WWkcAshhJeRwi2EEF7GKwt3fm4ZGanFxvKSEvIpLXEYyxNCiLrklYU7PDKAf98yj3cmrKYw33r7rZAwf8YNncpPk7bXWashIYQwxSsLt1KK+54ZzCevrueXKdZ7HUY1CuKia7vy3D2L2bU103Je0sF8Pv90E19P2mI5S2tN7LZ0Xn91JcuWJlrOczrdLF92gKeeWERqivUWTVX9K59+cpHlLKjoX/n1pC189OF6I3l7dmfxzptrmDvHeiu0qv6Vzz+7lLi4HMt5JSUOfouJ44nHFuBwuCznZWWW8N2UWN5+Y7XlrCrrVxwiM83cq9uVCw9SkGem16nWmvkz9+FymdnZys8tY+XCg0ayALauS+PQgQJjedV5ZeEGGDyiFV/NvZTr7+ltJO/mB/vy3ZIr6GWg52RwiD9h4f4EBvlazlJKERoWQFhYAP5+Nst5NpsiLCyAsHB/bDbrv/6AAF/CwgMIDfO3nAUQGORLWFgAwQa6rgCEVP4u/AOs/y58fBRh4VXPnfUuLv7+NsIjAggLD0Ap63mBQb6Eh/kTHGLmuXO53Ex8YAm3jJ5JUaH1vonph4q45/JfmfjgUiM9J5fMSeCBq39j6ufbLWcBfP7GRm6/8Bd2brbe21VrzatPrOCGc34mN7vUwOj+SjrgCCGOaMY3O5k/Yx+PvHgaXXo1spz3wgNLsNkU9zw1mEZNrTXRdrnc3DRqBudc1J7r7+lNQKC1DXNaciH/uvRX7n16MOdd1sHyhnTRr/v55sMtPP7ycI93BqV1mRCi1pL259O6fYSRLJfLTWpSkbGejnk5Zfj4KMIjPe/pWF3KwUIaNw/Gz8CrWqh47lq1C7e0AThW4bb++lEIcVIyVbQBbDYfY0UbIDIq0FgWQIs2YUbzTD53R+K1x7iFEOJUJYVbCCG8TJ0VbqXUGKXUHqXUPqXU+Lr6OUIIcaqpk8KtlLIB/wPOB7oD1yqlutfFzxJCiFNNXe1xDwb2aa33a63LganAJXX0s4QQ4pRSV4W7JZBU7evkymVCCCEsqqvCfaSLF/9ywbhS6i6l1Aal1IbMTOtvMxdCiFNFXRXuZKB1ta9bASnV76C1/kxrPVBrPbBx48Z1NAwhhDj51FXhXg90Ukq1U0r5A9cAs+voZwkhxCmlTt45qbV2KqXuB+YBNmCS1npHXfwsIYQ41dTZW9611r8Bv9VVvhBCnKrqxSRTSqlM4MBhixsBWSdgOCearPep5VRc71NxnaH26x2ttT7iCcB6UbiPRCm14WgzY53MZL1PLafiep+K6wxm11vmKhFCCC8jhVsIIbxMfS7cn53oAZwgst6nllNxvU/FdQaD611vj3ELIYQ4svq8xy2EEOII6mXhPpnn8lZKTVJKZSiltldbFqWUWqCUiqv83KDa956qfB72KKVGn5hRW6OUaq2UWqKU2qWU2qGUeqhy+cm+3oFKqXVKqa2V6z2xcvlJvd5QMbWzUmqzUiqm8utTYZ0TlVKxSqktSqkNlcvqZr211vXqg4p3WsYD7QF/YCvQ/USPy+D6jQD6A9urLXsdGF95ezzwWuXt7pXrHwC0q3xebCd6HTxY5+ZA/8rbYcDeynU72ddbAaGVt/2AtcDQk329K9flUeB7IKby61NhnROBRoctq5P1ro973Cf1XN5a6+VAzmGLLwEmV96eDFxabflUrbVda50A7KPi+fEqWutUrfWmytuFwC4qpvk92ddba62LKr/0q/zQnOTrrZRqBVwIfFFt8Um9zsdQJ+tdHwv3qTiXd1OtdSpUFDmgSeXyk+65UEq1BfpRsfd50q935SGDLUAGsEBrfSqs97vAE4C72rKTfZ2hYqM8Xym1USl1V+WyOlnvOpurxILjzuV9CjmpngulVCjwM/Cw1rpAqSOtXsVdj7DMK9dba+0C+iqlIoGZSqmex7i716+3UmoskKG13qiUGlmThxxhmVetczXDtdYpSqkmwAKl1O5j3NfSetfHPe7jzuV9EkpXSjUHqPycUbn8pHkulFJ+VBTt77TWMyoXn/TrXUVrnQcsBcZwcq/3cOBipVQiFYc5z1ZKTeHkXmcAtNYplZ8zgJlUHPqok/Wuj4X7VJzLezZwc+Xtm4FZ1ZZfo5QKUEq1AzoB607A+CxRFbvWXwK7tNZvV/vWyb7ejSv3tFFKBQHnArs5iddba/2U1rqV1rotFf+7i7XWN3ASrzOAUipEKRVWdRs4D9hOXa33iT4Te5SzsxdQceVBPPDMiR6P4XX7AUgFHFRsdW8HGgKLgLjKz1HV7v9M5fOwBzj/RI/fw3U+nYqXgduALZUfF5wC690b2Fy53tuBCZXLT+r1rrYuI/n/q0pO6nWm4iq4rZUfO6rqVl2tt7xzUgghvEx9PFQihBDiGKRwCyGEl5HCLYQQXkYKtxBCeBkp3EII4WWkcAshhJeRwi2EEF5GCrcQQniZ/wPsex1pRyFZyAAAAABJRU5ErkJggg==", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs, ys, dxs, dys = vel_field(a, b, 32)\n", "norm_drs = np.sqrt(dxs ** 2 + dys ** 2)\n", "\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "# we need these flips on y since quiver uses a bottom-left origin, while our\n", "# arrays use a top-right origin\n", "ax.quiver(\n", " xs,\n", " ys[::-1],\n", " dxs,\n", " -dys,\n", " norm_drs,\n", " cmap=plt.cm.plasma,\n", " angles=\"xy\",\n", " scale_units=\"xy\",\n", " scale=0.25,\n", ")\n", "ax.set_aspect(\"equal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you've followed along this far, great! Now you understand the basics.\n", "\n", "We can also try out a variant of this that uses a search window larger than the interrogation window instead of relying on zero-padding. By avoiding using zero-padding around the search window, movement detection should theoretically be a bit better, assuming that the window sizes are chosen well." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def vel_field_asymmetric_wins(\n", " curr_frame, next_frame, half_int_win_size, half_search_win_size\n", "):\n", " ys = np.arange(half_int_win_size[0], curr_frame.shape[0], 2 * half_int_win_size[0])\n", " xs = np.arange(half_int_win_size[1], curr_frame.shape[1], 2 * half_int_win_size[1])\n", " dys = np.zeros((len(ys), len(xs)))\n", " dxs = np.zeros((len(ys), len(xs)))\n", " for iy, y in enumerate(ys):\n", " for ix, x in enumerate(xs):\n", " int_win = curr_frame[\n", " y - half_int_win_size[0] : y + half_int_win_size[0],\n", " x - half_int_win_size[1] : x + half_int_win_size[1],\n", " ]\n", " search_win_y_min = y - half_search_win_size[0]\n", " search_win_y_max = y + half_search_win_size[0]\n", " search_win_x_min = x - half_search_win_size[1]\n", " search_win_x_max = x + half_search_win_size[1]\n", " truncated_search_win = next_frame[\n", " max(0, search_win_y_min) : min(b.shape[0], search_win_y_max),\n", " max(0, search_win_x_min) : min(b.shape[1], search_win_x_max),\n", " ]\n", " cross_corr = correlate(\n", " truncated_search_win - np.mean(truncated_search_win),\n", " int_win - np.mean(int_win),\n", " mode=\"valid\",\n", " method=\"fft\",\n", " )\n", " dy, dx = np.unravel_index(np.argmax(cross_corr), cross_corr.shape)\n", " # if the top of the search window got truncated, shift the origin\n", " # up to the top edge of the (non-truncated) search window\n", " if search_win_y_min < 0:\n", " dy += -search_win_y_min\n", " # if the left of the search window got truncated, shift the origin\n", " # over to the left edge of the (non-truncated) search window\n", " if search_win_x_min < 0:\n", " dx += -search_win_x_min\n", " # shift origin to the center of the search window\n", " dy -= half_search_win_size[0] - half_int_win_size[0]\n", " dx -= half_search_win_size[1] - half_int_win_size[1]\n", " dys[iy, ix] = dy\n", " dxs[iy, ix] = dx\n", " return xs, ys, dxs, dys" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "int_win_size=array([32, 32])\n", "search_win_size=array([64, 64])\n", "max velocity that can be detected with these window sizes: [16 16]\n" ] } ], "source": [ "int_win_size = np.array([32, 32])\n", "print(f\"{int_win_size=}\")\n", "assert np.all(np.array(a.shape) % int_win_size == 0)\n", "assert np.all(int_win_size % 2 == 0)\n", "half_int_win_size = int_win_size // 2\n", "\n", "search_win_size = int_win_size * 2\n", "print(f\"{search_win_size=}\")\n", "assert np.all(search_win_size % 2 == 0)\n", "half_search_win_size = search_win_size // 2\n", "assert np.all(search_win_size > int_win_size)\n", "print(\n", " \"max velocity that can be detected with these window sizes: \"\n", " + f\"{half_search_win_size - half_int_win_size}\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Making the search window larger compared to the interrogation window would allow for larger velocities to be detected." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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2fyeuVErJqaEO7Xj5jtfE8dpfQ2AjfiWB/mkrgTPMvAigtc4N7knK0FpnENhQzg9Ofdi/fTV6L7XWXxAYgFhOoP9zEdj7g9a6YL/HdQNFWuvCgzyHt4L3ySQwR3X8Qe53MMsJHEeSE3zuFwWfe3GwTT8Q+KxfQaBvrHwO0wkcU/EHgb73j/1y/01gV38GgYGVL6sse7h+9aDLHkAT4CcCRfFWAp+1b4K3XUOgwN8SfA4/EZhPDoF1Tx8CezCncuj1A1rrJAJTSe4nsJ5bx5/3rNbE/t+HRQRG/a1+P1pa+b5XnppECGEzFThnaIrW+omj3RYhhBDVo5S6jsCBeycf7baIv19tHjEWQgghhBDibyOFsRBCCCGEEMhUCiGEEEIIIQAZMRZCCCGEEAKQwlgIIYQQQgggcCL0o65Bgwa6devWR7sZQghhyerVq3O01g2Pdjv+TtJvCyGOVYfqs2tFYdy6dWtWrVp1tJshhBCWKKUOdWnW45L020KIY9Wh+myZSiGEEEIIIQRSGAshhBBCCAFIYSyEEEIIIQQghbEQQgghhBCAFMZCCCGEEEIAUhgLIYQQQggBSGEshBBCCCEEUM3CWCmVqJTaqJRap5RaFfxbPaXULKXUzuC/davc/1Gl1C6l1Hal1Igj1XghhBB/JX22EEJYU5MR49O01r201v2Cvz8CzNFadwDmBH9HKdUFuAzoCpwFfKiUctrYZiGEEIcnfbYQQtSQyVSKc4Gxwf+PBc6r8vfvtdYurfVeYBcwwOBxDktrXaty7M4SQggb1Jo+WwghaqvqFsYamKmUWq2Uujn4t8Za63SA4L+Ngn9vDiRXWTYl+Lc/UUrdrJRapZRalZ2dbanxbrePL99ew57t+ZaWr2rz2iy++XCDcU55mYcPXlxBTmaZcZYQQlhke58N9vTbQghRm1W3MD5Ja90HGAncoZQ65RD3VQf421+GT7XWn2qt+2mt+zVs2LCazfh/e7bnc16/b1k0O4l2nevVePlKPp+fVx9ZxMWDJzBwaAvLOQAbVmYwsvs4UvcV0bBJtFFWfn4FPp/fKAMCI9d5eeXGOQC5ueW2jIS73T6Kilw2tMi+NpWVeSgr89jQosDzs2uPgdvtq1U5dmeJI8b2PhvM++28PHu+rx7P8d2H5Oba02cXFbls+77a1aaCggq8XnvWbXa1CWpfX6u1rnVtsnPdVptVqzDWWqcF/80CfiWwmy1TKdUUIPhvVvDuKUBClcVbAGl2NbhS6w7xdO3TiDseH2iU43Q6GDCkOZff0p2O3eobZXXoWp/OPRpy2yP9jXIAfvphCyOGjWfd2gyjHLfbx0kDvuC9t5fj8Zh9Od5/ZwUXnvcjO3fmGeUUFlTQp8enfP3Vevx+sy/Z44/M4fprJpGWWmyUs3tXHv17/ZdJE7cbffH9fs39V81g0awko/YAzPx1F4/fPNs4p7zMw42jJrJ9Y45x1k9fbeaVBxca50z+bTtzZu81zklNKeK9t5dTUeE1zho/bgMrV9jeVR0VtbHPBjv7EBd9enzK2C/N+5AnHv2D66+ZRGpKkVHOnt35tvQhADddP4l77/rduPBbtjSFkwZ+wby5iUY5AOeM+o5nnpxHSYnbKGfiL9s447RxrF6VbpTj9foZMuhL3n5jmXHh98mbq3jvleVGGQC7t+dx+Vk/UWr4GgE8/9ACJny1yThn5ZJUbrzgN+OBNq0191w/gznTzPptr9fPe28vJzGxwCgHYNHCJH76YYtxzl9orQ/5A0QDsVX+v4TAARr/AR4J/v0R4LXg/7sC64FwoA2wB3Ae6jH69u2rrfB6fZaWO5JZduWUlbm13+83zvH7/bq83GNDiwJtsoPH49Nut9eWLLvaVFHhseW9S9yZry85eYK+dMgEo/fP5/Pr955fprvFvK/XLkszatOmNZl6dM9x+q7LphrluFxe/fy983S3mPd10p4Co6zXX1uiv/pinVGG1loXFlbowQM+N87RWuv77v5d/z5jl6VlgVX6MH3p3/Xzd/TZ2mK/LX1I9djVpvJyjy3rEa3ta5Od6zY72lRc5NJ3XTdNd2nwvs7PKzfKmvLzdt27xcf64zdWGuVkZ5bqa8/9VQ9q/1/tcpl9zsd9ul53afC+nvj9VqOcxN35+vxTv9ejTxxv/P6dNmSszsosMcrQWusfJ2zWzz41z9Kyh+qzq9PJtg12muuBzcDjwb/XJ3Bk887gv/WqLPM4sBvYDow83GNYLYyFqI18Pr/+ddwWvWNTjnHWvl35+rtPNxjneDw+/c2H63RGarFx1tb12fq38Wad7JbNWTo9zbwtWmv9x5y9tuQsWZRkeSOylhXGR7zP1tJvi+PMisUp+vdJ1jaMqyosqNAfvb7Slg23OdP26KXzk41zsjJK9KdvrTIuaP1+v/71u6168/osoxy7+uy8vHK9epW1gaND9dkqcPvR1a9fP71q1aqj3QwhhLBEKbVa//9p0f4RpN8WQhyrDtVny5XvhBBCCCGEQApjIYQQQgghACmMhRBCCCGEAKQwFkIIIYQQApDCWAghhBBCCEAKYyGEEEIIIQApjIUQQgghhACkMBZCCCGEEAKQwlgIIYQQQghACmMhhBBCCCEAKYyFEEIIIYQApDAWQgghhBACkMJYCCGEEEII4DgpjCvKvbUqR2ttW1ZlXk5KKX6/ti1TCCGOFrv6R7fbh9frtyXLzj4boDCvgvJSj62ZQogj75gujJP3FnLvldPJzSozyvF6/Xzz4XrGvrvWuE3bN+Zw16XT8Lh9ljM8Lh/LJyXzzdPreGb0HK5p/iPrZqfjcKgaZ2mtcVfY0+G7bFpx+Lx+vB57VmZCiGNHcZGLFx9dwPyZicZZ835P5JHbZ+N01rxfrConq4yHbpvFlg3ZljO01qxZkMbXr6/j0ctncV7Hb/nwiRWER4ZYyrOrSHdVeNHangEVuzcchKitjtnCePe2PM7p8y3RsWE0bxVnOcfn8/PQdTN57ZFFXHhdV6M2rV6SxvkDvqNjt/rE1gm3nBMS5mDxz/uY8MIG1vyeynUv92X4de0tZfl9mntOnc5TF8xh+hc7yMuwvhExa9wu/tV7Il88sZotS7Pw+awVt+4KHzf1/JUXrpjHnG93U5TnstymNavTSU8rtrx8VdkZpbbk5OeW4zbYMKrKrjZlZ5TatoK0s03in6O4yMWFp/3AnGl7GT6mrVHWlx+s5ZpzfmXMhR1RynphnJVRyugTx5O8t5A+A5tazlFKkbSjkPcfXc6cn/YwcHgLHn5/iKXBDIDX7lvEDadP5Ks31rJ3W77l727SzkJGtv+GF+6Yz4Jp+4yK24evmMmtoybz3QcbSU0sspyzZ08+W7dk29IfZdnUh2itbcuyK8ft9pGfW25Lll1tKsivoMKmgbba7JgtjNt2qsv9Lw7mlof6GeU4nQ5uebgfT75zKg0aRxll9ejfmLueHsQ1d/YyylFKccqlrWmQEMXdn5/EsGvbWc7yuP3kpJSyZFIS3/9nIz++udlycZyfWcHejfn88u4WJry+kZXTUy11bkV5LgqyKpj3w14mvL6RX9/dQkmBteL4t1+3885by0lLtV4ca60Z+946Lj3lR8rLzHZ9ZmeUcsnJP/DbN1uNcvx+zRuPL+aWcycZT6HZuyOfc/p+y4Lf9xnluN0+nrr9Dx65cZZRDsCapemM7D6Obeutj9IB7N6dzzVX/GpLZ/3U43OZOnmHcY44sNi4cJ576zQefu4knE6zVc+5l3bmoedO4rSzWhvlNGoSzTNvnMo9jw8yygHoM7QZnXo14IKbuxgVxQDZ6WWsWZTO2DfX8eXra9m+PtdSTm5WOZkpJfzy+VbGvrGW38Zuw+OxttGekVLKstkpfPXGWr56fS1Juwot5axYnspbbyxjzeoMS8tXWr0sjdN7jmXz+iyjnPIyD7deNoWXH19olAPw+2+7GN77azJSS4xyigpdXDbiJ/77zhrjNn398XrOOfk7SkvcRjk5WWWcN+R7fvhqs1GO1+vnuqt/Y8tms74fYMJ3m3n15cXGOX+htT7qP3379tXir3auyjHO8Pv9etoX23Xy9gLjrE2LM/TyacnaVe4xynG7vHryp9t0RmKxcZvssmpxqj5/wLf6y7fXGOUUFVToVx5aoM/sMla73V6jrHnT9uozu4zV037cYZSTnVGqH7t5lr70lB+03++3nOP3+/Wkb7fpIa0/06uXpBm1KXlvob7zkin6zkumGOW43V594Xk/GGVUeu6Z+XrF8lRLywKrdC3oS//OH+m3/2rr6izt81n/jlWaM3GPXrc0XXu9PqOc9KRiPWX8dl2QW27cpmnf7dBb12Yb9SF2StpboG+5bLK++ZJJRjkej09//fE63bvFx3rvznyjrG2bs/VlI37UT97zh1FOeblHv/fqct231Sc63/C9W70sTY8ZPF5/+J8VRjnFRS794qML9MmdP9cVFWY1wGUX/aRLSlxGGVprPWvmbv3Om8ssLXuoPltpm3avmujXr59etWrV0W6G+Ifz+fws/H0fQ0e2Nto9C4GpPg6Hok3HukY5brePZXOTOWVEa6McgI2rM2nUNJrGzWKMckpL3GxYmcmJpyUYt2nZvGS69WlETJz1qUc7d+bRoUM947bs2pVH27Z1LY30KaVWa63Ndl8dY6TfFrXB0vnJdOvdiFiDPgSgIK+Cndty6T+4uVGO1pr5M/dx0ukJhIY6jbIyUkvIyiylR5/GRjl+v2bujL2cPrKN8bpt7858fD5N+87W+9ydO3Lp0LG+UTsAXC4vGRkltGoVX+NlD9VnS2EshBCGpDAWQohjx6H67GN2jrEQQgghhBB2ksJYCCGEEEIIpDAWQgghhBACkMJYCCGEEEIIQApjIYQQQgghACmMhRBCCCGEAKQwFkIIIYQQApDCWAghhBBCCEAKYyGEEEIIIQApjIUQQgghhACkMBZCCCGEEAKQwlgIIYQQQghACmMhhBBCCCGA46Awrij3kplaYktW0u4CW3KKClzk5ZTbkuX3a1J3FLFqeip+vzbKKilws35OOln77Hm9hBCiprTW7NtTYEtWyr4iPB6fcY7X6yc5sdCGFgXkpJeyaNo+SovdRjmuCi+bV2SxdXW2TS0TQhzOMVsYa62Z8fNOLh/6I9GxoUZZ6cnF3HfVDObP2GeU4/drfvxyMzef8xtx8eGWczwuH+OfWcfjw2dyef3vuf/EacQ3isDhUDXOWjsrjf9cuYBbOv/K5fW/Z9lvSTRsGW2pXSk7CynKc1latiqP28eudblobVboA+zbUkBZscc4Rwhx5G1Yk8kFp00gJ6vMKKes1MPrzyzhP88sJjTUaZS1ZF4y55z0ndHAg9aaiZ9v5YELZjC61ThGt/qG/KxyomPDapyVtLOQl26dz9X9f+bUul/y9oNLadmxjqV25WWVkZpYZGnZ/W1bm23LRkh6UjHZ6aU2tAgKciuMB4yE2N8xWxjv2Z7PA9f8zvBz2xETZ70I9fn8vHjfAlYsSOHiG7oatWn14jSeuGUOF93QlZAQ6y9taLiTskIPG+Zm4HAqXph5Bu371reU1bRdLIt+3EfazmLG3NGJm98ZgFI1L7ABVkxP4aKm33HfadP44Y2NJG8vtFTclhV5eGTkTK5o+yPv/Hspy6cl467wWmrT72N3cmHjb3l45O9M/GALmRZHwyvKvaxekmZp2f1tXptFQV6FcU5JsZsNKzNsaBGsWpSK222+UispctnWJvHPUlzk4u5rpxMVFUrfQc2Msr75dAPvvryc2+7vb5STlVHKv6+eRpeeDWnVNt5yjlKK2PhwFkzeR056GU/+91TOvq6zpawW7eJYPjuF7ety6DawEW9PGWmpwAZISyphTKfxXNR7Au8+sYx1SzPw+fyWsv7z4BJOa/YVD185i6njd1CQa62P274+hzNafc0VJ/7EJy+sYtvabEvrEa0137yxntfuXGRcHBfkVbBxbaZRBgTqiSXzko1zAFKTitizI984p6LCy4rFqTa06J/jmC2M23Wux3cLLubqO3oa5TidDl754gw+/HkMEZEhRln9hzTnmzkXcu6V1jrEqs66uQMnDG7I8wZFMUDjNjGcc9cJjPl3Z6Oi+E+UQimFUhjn2ZERyFGWc7TWvPnkEq4/61eyDEcy9u7I57JTfuTr99YZ5fj9msdvns0t502mrNRsRHz1kjSuPP1nfv16q1GO2+3j1vMn88iNsyyvXCs9cO9MXnlpkVEGwPZtOXTr9CEVFjesqrry0l8YN3a9cY44sNi4cH6ZdymPvTzEOOvGu3ozYeZFdO7WwCinUZNoflt4Gf9+aIBxm/qf3pxTzmnNk5+dyphrO1nOcTgU97w+mJ4nNeHtydaL4qoq+1mbun9QGGf9rz0WgzKTSxj/1gZ++XQLr/57oeXiuKTYzYWnT+DFRxZaWr6qrz5cx2UjfmLTuiyjnJysMs4Z8h3vvrLcuE1vPLuEK876mfSUYqOcX37ayrljvjduj9frp3f3T1izOt046/13VnDbzVONc/5Ca33Uf/r27avFXxVkl9uSU5hTrv1+v3FO8o4CXZRXYZzjdnn1rnW5trQpcUu+Lit2G+fk55br5+6eq199eKFRjt/v17Mm7tLn9f9WF+abvVYZqcX6gWtn6C/eWm2U4/P59c9jN+uLT/peu1xeo6y9O/L1Lef+pqdO2G6U8/OPW/T8eYlGGVoHXu977/7dOEdrrd97Z7neuTPX0rLAKl0L+tK/80f67b/Kzy6zJaei3KNLbejXcjNLdcreQhtapPXWNVna7TbrP7TWOj2pWGellRjnrJybop+8era+qOv3un/Ix/qlW+drn8/aOmXTukx94ekT9LKFyUZtKit16zeeW6LvvGaaUY7WWi9bkKxHDvxG79mRZ5RTkF+un7l/rn7m/rlGOWmpRfrVlxcZZVS6/57ftcfjM85ZtTJNf/3VOkvLHqrPVtqGeZ6m+vXrp1etWnW0myEESbsLSGhbx3gUu6LcS2FeBY2bx9jSppbt4o1zSopcuF0+6jWMOuptKi52ERERYjw/FCAvr5x69SKPao5SarXWup9xI44h0m+L2qKk0MX2dbk0aRlD8zZxljK01iTtLTSaUlMpNamIRk2jjfs3n89PWnIxCa2tzTGvKnF3Aa0M1221oa+tyu/XFBW5iI+PqPGyh+qzpTAWQghDUhgLIcSx41B99jE7x1gIIYQQQgg7SWEshBBCCCEEUhgLIYQQQggBSGEshBBCCCEEIIWxEEIIIYQQgBTGQgghhBBCAFIYCyGEEEIIAUhhLIQQQgghBCCFsRBCCCGEEIAUxkIIIYQQQgBSGAshhBBCCAFIYSyEEEIIIQRQg8JYKeVUSq1VSk0J/l5PKTVLKbUz+G/dKvd9VCm1Sym1XSk14kg0XAghxMFJny2EEDVXkxHju4GtVX5/BJijte4AzAn+jlKqC3AZ0BU4C/hQKeW0p7l/tWtLLok7C4xz3C4vC35PNM4BKMl3sW52Gj++upHEjfmWc3xeP4kb85n95S6mf7wdv19bzirIKmfVtBQmvLiBzMQSyzlCiGNGreyz83LKWbkk1ThHa83cGXvxeHzGWRXlXjYuy+SHDzaxYHKiUZtS9xYx+6fdjH1tLaXFbstZpcVu1ixM49u3N7BmQZrlHCFEzVSrMFZKtQBGA59V+fO5wNjg/8cC51X5+/daa5fWei+wCxhgS2urKCpw8eL9C7jrsmm0aBNnOUdrzR9T9jC613hc5WYd7LZl2dzS+VcubzCBJ0fMxulUtO5e9/AL7sfj8vHmtYu4JP477uw1md/e2cLgC1vhcKgaZ62cmsL1rX/i6qY/8vy5c2nUKobGrWNqnFMpe3cJn124mGVf7qE4q8JShsftY8qn28jcZ0+Bvmt1rj05a3KNNj6EqC1qY5/t9fr56sN1DO/9NU2aWe+DALZtyuGyET+x6I8kQkOt1/A56aXccvokTqv7BTcOmciaBWkMPiuhxjlaa75+fR1nNBnL+R2/46VbF9D/tOZEx4bVOCtpZyFX9/+Z0+t/ya2nTyZldyG9hzStcU4lj9vHq1fO55c3N5Oyo9ByzrTvdrBtbTZam/eRW1dnG2dA4LUqKbK+8SHEgVR3xPht4CHAX+VvjbXW6QDBfxsF/94cSK5yv5Tg32xVUe7ljyl7uOmBvoSEWJ8q7fdrVi1Ko07dCIad09aoTa26xVOQGSgWr3+tLxc80M1STmi4k/jGEbjLfbTuHs8Ls86kTsMIS1ltetYlL60ch0Nx71cncdpV1p/j9Oc288XFi9k0OY3xN6zk8Sa/8cagWfzx5nY8FdXfqMjLKOezx1ZzZbsf+VfviXz19BpKClyW2jTj0x08ccZMdqzIsbR8pdQdRbz3ryV8/O/lRsWx1prxH2+wZS/Gzs25/PjFJuMcj8fHp6+tIj+33Dhr05osJn6z9fB3PIyU5CIy0s03jEpL3ezcmYfbbT5quHt3Pnl55q9RLfE2tazP9rh9LJyzj2Gj2pDQuo5R1u4deWzblMMt9/UzymnQNBqlwOfTnH5hW174ZhghFgptpRStO8VTlOciNj6M92eMoUv/Rodf8ABatIujrNSD1nDxbV158N2TUarmgyIAyycnc99J01g9M43PHlrFzV0mctMJv/L5Q6vIz6zZZ33sm+u5bOBPjGg7jhfumE/SLmtF9tLfk3j4kplM/NysH3G7fLz78FLuHj3NuDheviiFab/uNMoAyM8t592Xl9uy8TBz0m6WzEs+/B0PIzWpiM/eWWOcU1hYwc4d5oNQXq+fnTtyKSkx36DJzipl374C45y/0Fof8gcYA3wY/P+pwJTg/wv2u19+8N8PgKuq/P1z4MID5N4MrAJWtWzZUluRm12m3W6vpWX3l5VeYkvOyqnJ+pc3NhnnlBa69Lv/WqwLssuNs2Z+vkPP/Wa3cc7e5Tl62dg9+p6wH/SjjSfq8Tcu1+snpuiKEk+NcsqK3fraE37SL1wxV8/+dpcuzK2w1B63y6tv7/6bHuMYqy+J/1ZvX55tKUdrrad/sl2PcYzVYxxj9fu3LtU+n99Szt4d+bp3vQ/1IzfOtNwWrbX2+fz6gWtn6G4x7+uM1GKjrLXL0nSXyPf0m08uMcpxubz6urN+0QObfqJLil1GWQ/dP0u/9spiowyttd6XWKDbJLyjvV6fcdbVl/+iv/l6vaVlgVX6MH3p3/VzpPpsbUO/7ff7daZNfa1dOUX5FfrRy2dqj+G6xOP26g+eWK63rMoybtOeLXn6tbsWar/fWj9UKX1PkZ43YY++ueuv+vy4b/TzF/6hf/9yh87LKKtx1l3nTdW3jpqsv/tgg07ZW2ipPX6/Xz9301zdP+Rj3T/kY/3rf7dYytFa6+3rcvSgiE91/5CP9fUn/aKLC6ytR4qLXPqs/uP00K5fGvcjX3+yTieEval/n7TLKCc7s1QPav9fffHwH4xytNb6tacW6YSwN/W6VelGORN/2arPO/t74/b4/X7dpcMHeusW6+vrSh+8t0LfcetUS8seqs+uTif7MoERhEQgAygDvgG2A02D92kKbA/+/1Hg0SrL/w6ceKjH6Nu3r7VXpRbyesxX0HZn2dmmvKRSvXd5juXCsbI9Hrd5mwpzyvX87/bozx5YqR85bYa+ruWPetuymq+U/H6/3jg/Q//8n436lUvn6Zva/2xUHKckFur7rpquk3YXWFq+ktfr099+skF/8OJyoxyttd65OUffeckUXZBntqHlqvDoT15dqb/9ZINRzh9z9uoN6zOMMiq997b566O11t+O36izMq0VW7WsMD7ifbY+zvptj019pF05Xq/PuCiu5HZ59erfU7Sr3KzwLy+r2QDIwdqyYEqi/uTZlfqec6bps1p8rX/5dLOlrN2b8/SPH23Sz900V1/e+wd909CJRsXxy48v1FN/2WFp+armz0rUd18/3fj9y80u04/eMVsvX5RilOP3+/WUn7frJ+/5wyinsLBCf/n5WqOMSu+9vdyWz/fu3Xl68m/bLS17qD5bBW6vHqXUqcADWusxSqn/ALla61eUUo8A9bTWDymlugLfEpij1ozAQR4dtNYH3dfZr18/vWrVqmq3Q4gD8fs1+enl1G8eZZxVnOciNNxBRHSo5YyKci8RkSHGbbErR2uNq8JXK9rk9fpxOpXlXcRVeTw+o3mmduQopVZrrc326x8BR6rPBum3hTmtNdlpZTRoGmXpGJqqKso8VJR5iW8QaT3Dpr628oBQO/olO9cj4RFOoz63NvS1dmUdqs82ebVfAX5QSt0IJAEXA2itNyulfgC2AF7gjsN1sELYweFQthTFALH1wo0z7OjM7MxRStWaNpkcF7A/uzpYu3JqMemzRa2ilKJR82hbsiKiQomIsj6QAfb1tXb2JbWlz4ba2dceiX67RiPGR4qMPAghjmW1dcT4SJJ+WwhxrDpUny1XvhNCCCGEEAIpjIUQQgghhACkMBZCCCGEEAKQwlgIIYQQQghACmMhhBBCCCEAKYyFEEIIIYQApDAWQgghhBACkMJYCCGEEEIIQApjIYQQQgghgOOkMC4pcNeqHK21bVmVCjPK8fv8tuX5PH5ythbalieEENVVXOCyJcft8lFR5rElq1JOWpktORVlXorz7XmeEFivJG3Mx+8/+lerFeJ4dswXxvO+3cP62enGOcV5Lr540J7Lm058awvJWwpsyfK4fEx7eQsTn9iIw2n2dvm9fvbMyWDKrSt4v8NkPBU+W9oohBDVtXtTHt++vcE4x+/XPH/TPON+sVJhTgVv376EBT/uNcrRWjP/p708NnomEdEhxln71ufz/WPruKfDJHYuy8XhUEaZQohDM/vWHmXr56Tzzg1LeHP5KKMcd4WPF86fS+PWMcZtmvftHr54cDXfZF5ilKO1ZsOUNCbcu5bs3SU8s/Eso7w9czL47bpllGZWADD6k/407V3PKFMIIWoiM7mEu8dM45oHexlnvfPQUjYuzyQs3GmU4/P6mfzxNsY+s5aQUAe37LrIctbejXl8cM9y1s/P4O4PTyQ0zHrbsvaW8NZFC0hcmw/A0OvacvpN7SznCSGq55gtjPesy+PFC+fh9fhp2j7Wco7P5+eNqxeyZVEWvc9oZtSmykI9Oj6MuPrhlnO01sx4dSu/Pr4R7df0ubAFzbvFG7XN7/HjcwemYvS6vi29r7fWwSatyGX2S1twFXupKPLgKvbSZXRTRr7QndDImn2cXCUewmNCLbVDCHFsKcp3cffZ08hKLSWhQx2jrPFvbeC7dzYy8IwWRjlul483blrEH9/tAeCml/sRGW2tT1o5I4UXrphHWZGHhgnRnHltB6O2eVw+fJ5An92qZ11u+KA/StV8tNjr8eP3acIizDYgAMpLPERKny2Oc8dkYVxa6Oa/962kvNhD/eZRRFjsyAB+/3Qna2cFpmI072C9wM5NK+OLh1bh9fhp2zHOUgdWSSlFg7YxhIQ58Hv9jHmyq+Usb4WPOY+tZ+3nuznjtV5sn5zKiLf7WMrK21fKzjmZ7PojC1eJl9BIJ+e905uBN7at0fP1+zVel48f71xD3r4yuo1pRrezm9HIwuuvtUYpRcbmQhqdEGe0m3HJL/voNbwpUXFhljMq+Xx+nDbs4q1tOUJY4fdrPnl6Jfu2FQDQ0qAw3rAkg/FvrTfOAQgLd9KwRTQRUSGERTo557bOlrMatYzBGeIgIiqEyx7qbnkkW2vNnE938c39qxl6XTsSusdzyXM9CavhwAMERsO9bh+PDJ9Jg+ZRDBjdgv6jWlC3cWSNs1zlXv4Yv4dpn2xnwOgWDByTQMf+DWrc5/6vz95bTFyDCKJira+/Ny7LJDY+jNad61rOqFTb+lqtNX6/rlVt+qc4Jgvj6Dph3P/1yfz6xhbKS8wOvBh1Wye8Hj/bl2XTtEOc5Zz6zaJ44JshzPh0p1F7KqVuLODGbwZRXughoaf1L31xejkZa/O4cemZNOxSh+5Xtq7xyG6lmc9uJn9fKZ1HNSVzcyFXfz+YJl1rvmLK3FbES11n/O/3nXOz+PX+dXQ4tREXvdebZjUYHR93+VJCwhy4S714yn1c9tVAYhtF1LhNG+Zm8NEdy2nSLpZnpw2zXBwXZJUz/ZMdFGVXcMu7Ay1lVJo/PZF50/fy9LunGeVUlHu598rpPPTKybTpaP2zVFBQwdTJOzhrVAfq16/5irWqObP3EhUZwoknJRjlZKSXMHvWHi66pAsREWbd2aSJ22nTNp7uPRob5Yi/cjgU9745GIdTkb6vmCYtrU9b6zG4CU9+dioLJiXSulO8Ubu8Hj9ZyaW8tWAUezbkGY2Gpu4qZNSNHWnTvS5DLmxtOcfn8bP85yTu+v5k+oxpQUWJhwiL7Zr77R7evGExADtWwpKJSSgFw65ux/Uv961RgXxNq58ozgscTLh3Qz4TXt5Ik7Yx3PLmAAaOqf73+Nc3NrNudjoJXeJZNS2Fh747hXa969fsiQEFOeU8c8NcSovcfDTrbNqcYK1v8/n8fPHSGlJ2FfHk56cSEmK9gEzcXcAz98/j4+/HGPdHb72wjITWcVx8tfWBMYD1qzL45K3VvD9ulNHA0fZtOWzckMVFl3Qxao/X6+e78Rs57fQ2tEiwXnMBrFqZRnZ2GSNHtTfK+Qut9VH/6du3r7bKXeG1vGxVPp9fe9w+W7LsalNt4/MGXp/UdXnaVeqxnON1+3R+Sqn+8vIl+pVeM/TkJzbovctztM/nr3HWvuU5+uc7VukHQibo+9T3+ummE/WOORk1yvD7/Xr8M2v1GMdYPcYxVj9w0jRdWuiqcVtKi9z66VGz9RjHWH11sx9qvHxVPp9fv/7YIn1CxLt6y9oso6wNqzL0ae2/0A9d/7tRjsfj0906fahdLvPP90svLNSffrzaOCcvr1z37fmp9vtr/tnZ3523T9NTJ++wtCywSteCvvTv/LHab7ts7B/tzDoelZe4dXZyib6992/64dNn6J/f2KSTtxdYyspNK9W/vr1ZX9P6R/3+v5fqldNTtKu85q9/+p4i/d3z6/WVjSfoMY6x+ryIcXrSe1tq/B1eMmOfHhTxqe4f8rEe0Xys3r05r8Zt8fv9+u0Hl/wvJ3mXtdem0m8TtukT6r+vv/pwrVFOdmapvvD0CfqULl9oj8esLvnyg7W6few7esbEnUY58+bu1ddf85tRRqWTBn6u01KLjHPGf7NBP/7IHEvLHqrPVoHbj65+/frpVavsOSOEOHYUZVYQ17jmo7v72zo9nTkv//+8Z0+Zj5P/3YHTHu6Ms5pb/xVlXhLX57NzdQ67VuXiDHXwr7f613gEafvybB4bNhN3uY8JBZcb7SYE2LY+mxULU7nm372McirKvXz1zlrOv+YEGjezPlo3bcpORo0xmzsJsH5dBvXqRZLQ0mxXuJ1tmvtHIgMHNScqqubvmVJqtda6n3EjjiHSbx8bPG4fFaVeYutaP+6lUkFWOXUaRhhNFQRI313Mh7cvozjPRXmxh7IiD72GNeWWdwcQU812er1+Erfms3V1NltXZ5OVWsq9rw+meduajULmZZXzr6ETSd5VxDtTRnLiiJZWntL/ZGWUMu7T9dz16EBCQ63P69ZaM/H7bTRuGsPgU832rCXtLWTi99u485EBlt87j8fH3D8SOXOE+QGgdvXZuTll7NyRx6DBNT/W4FB9thTG4rilg3PZ/u7lV0xJ4cXz5/LmilGWdhHa1Y4jkWVXW2rTc7IjRwpjIcwdrf4pZXchNw6ZyA2P9uHSO7tbfnw72nKkcuzIOp6e06H6bJmNLY5bpl88q8sPGNOC2z8cSNrOYqPHN23Hkciyqy216TnZnSOEsOZo9U8t2tXhrUmjyMmw5+IuJm05Ujl2ZB2Pz+lAjsmD74So7Ub8qyMFWeVHuxlCCCGqoUu/hkYHhYrjh4wYC3GExDcyO3ODEEKIv0896bMFUhgLIYQQQggBSGEshBBCCCEEIIWxEEIIIYQQgBTGQgghhBBCAFIYCyGEEEIIAUhhfMzQWqP99l6Mxe48IYQQ/89vd5+tte2ZQog/k8L4GOD3+Zn/7Cbsukqh1pq90/ax+fOttuQJIYT4swVf7yF9e5FteUlr8/np/nXIdWiEOLKkMK7lPGVefr50MTlbC3E4zd+uvG35TLt4JnNvnU+bs1ubN1AIIcT/aK355YWNfPfIWpp1jjPOK86uYPwtK3m570w6ndZIrtAoxBF2zF/5zu/XpO8qpnlH8w4oeVshCZ3rGOd4XD5y08po0ibWKKcsx8WE8xeQujyXkR8c8JLe1eYt97LihdVs+XIb2qfpeuMJRDeJMsqs5HN5cWUVBX4yi6nIKiKmXSMaDOlgS74Q4viSuC2f1p3rGudkp5USGRNKTFxYrWiTz+vni9tX8sdnuzj5qtZGRazWmvkf7WLS4xspK/CQ0Due7mOaGbVPCHF4x/yI8RcPriJ1h/nuqsSN+Yx7fK1xjt+veeu6xZQWuI1yyvPd/HDhQlKX5wLQdngTo7yQyBDiWseifRpHmIOed3Yzyqsq+bvlLL/kY9b9+1u2Pj8Zb3EF9Qe3sy1fCHH8mPPzHqaO22GcU1Lo4sELfycy2nx8Z8J7G1k+O9Uow+/XfPnvQFEM0H14U6M8pRSt+tajosQLwOinusposRB/g2O6MJ741hZ+e3srzTqYjcxmJ5fyzOg5xDUMN27Tlw+tZuEPiTRtbzaCHVk3jC4XJRDTNIL6neKo28bsGu6pC9NZ8eJqTnxxIF2u60x002ijPABXVjF7PplPyg8rQYEKcdD5sdG0v3MYyoZpH0KI48uahWk8fe0fNG9r1j+6XT4evGgm5aUenIZ9zZyf9/Dm/Uto2cGsTQ6H4tQb2hEa7qBus0i6n2FWGOcll/HfS5Yw5JZ2DLqmNT3PbW6UV9WWX1OY/uA65r+6lVWf72HrpFSSl+XIgX1CcAxPpVjw/V4+f2AVDqeisUHRWJLv4pnRc8hNLaOZYcc48a0tTHxrC/WaRhIVG2qUVZRSxrynN3L+N4OJa252/fasNdnMunYOg57tT5drO+Nz+yxnaa0p2phKyk+ryJ67jfjeLen86GgK1iZR/+T21O3TyqitQojj0+7NeTx4we+4XT5adrQ+Zc3v1zx30zxWz0vjlHNaG7WpslDXGlp2iDfK8nn9fHbrCkbe05nBl7WmblPr/XZxdgXvnjmPDqc05NJ3++D3+o1Hi7XWFCaXkbI8jz1zM1nxye7/3dbmtEac9WpPHA4ZkRbimCyMSwvdLJ+cDEDj1jGEhjktZ62cmkpJnguA5gaFcW5aGetmpwPQ1LDABph53xrandmUDqPM5pTl7yhgxhWz6XV3D7pc2xkAp8XXK+uPrSSNW0ppYi5NRnaj/9c3Et2mIQD1TmyLI6R6uX6Pj/K0IqJaxv+ls9d+japB5+yt8BESYf39/1O7gqMldqwcinIriKsfYZzjcfnwevxExphtaAlxNPn9mvmTEikr9gDQsr31wnjziiz2bSsI5ljvaz1uH/MmJuJ2+QgJddC4pdleud/f2055oYcLnuxOeJT1VWtFiYf3Ri6gUYdYrvliAA6HwmGxz87ZUczmX5JJWZ5H8opcSjIqaNg5lhYD6hPdKJzohuGMeKUnHUc2PWzhnbOjmLptonGG/nmE3u/XNeozPS4fIWEOW6aF2NlnF+RWEG9Dn213lvj7HZOFcXSdMO74+EQGn9+KrKQSo6zTrmpLg4QoEjfm08zgAL76zaK4d+xJbJqXSX5muVGbAHpc04Ymvc0PTolsGEm/h3tzwnWdjLNc2cU0OqMrTcf0IDTuz6Mh1S2KAUoS81h06ThCY8OJ79aEOl2bEN+9KfHdm7LzoyXE92hGs5GdD1sga635+vQ5tBraiFOf7U5ptou45tYOKFz42W42TkunVb+6nHZHB6Lq1PxgHq01WftKef+WpThDHDwzdZiltlRmffXIGjbMy+CmN/rR9eTGlnL2bMxj4S/7cFf4GDSqBd2HWJ+rnptbzjNPzuOJp4bQuIlZEfHfT9YQGxfGZZebzXXfu7eAN/+zlP+8eQYREWbd2asvL6ZP36accWZboxzxVw6H4tqHepHQvg5JOwupb3Dgb/dBjXnx2+FsWZlFaLj1jeLQMCd3vjyQ7gMbkbavhJAQsykZ3YY3od2A+kZFMUBYpJOBV7XilFvb/6UIrancncUkLcmlxcB6DLy9Pc371yMyPgy/X7N+/D56XN4SZzWet9+v+XTIHNwlXpr1rUvCgHq0GFCfFgPqs2N6GmV5bk66txNh1Xju3z60lqy9Jdzy+SD8fk1s/fBqtWF/u9bm8vq/FnH+nV1o3i6Obhb6yMrzQt9/3gxy0sv4bOF5RERae/+01sycsJtf/7uFE0ckcO1DvS3llJV4mPDRJvbtLODks1oy/AKz43UeeXA2F13ShX79zQbZFi1MYs6svTz93FCjHK/Xz/33zOT2f/ejU+cGRlm//bqNpH2F3HnPQKOc/R2ThTFAVGwoJ11kz2777kOb0H2o2cFtAHUaRNjWpo5j7JlPFlE3nC7Xd7YlK+HSAbbkxHVoyJmL76RoSyYFG9Mp2JRByqTNVGQU4wgPYd+Edez9ZhUn3DeU+v1bHjRHKcWoD/sz8ZqlJM7NJKpRBH1uakenc1rUuE09z2nOlOc3s/bXFLRPM+bJmhds5SVeXrl0PrtW5RIdH4bW2vKoyIxPdvDrG5vRGtJ2FFkujOs3i2L8i+vx+zWnXtLGUkalevUi2LE9l0aNzeen+3x+QmyYh96sWQyJewuMi2KAslIPMdEyMn+kOJ0OzrjYnoNyW3aoQ8sO5mcQCg1zcsYl7W1oEbTsbj6QAeBwOhh2j/lABkCn0c3oNPqvBZHDoeh9devqt8mheDjlHDI3FZKyPJfkFbnMfX4z2VuLCIlw4in3seLj3Qx7pht9rmt9yFOLnvd4Nz65cSkP9ZhKn9HNia4XxpWv9anxc2vTvS51G0Xy+o2L6DO8Ga/OGFHjDICXb1vIkhmBPdCpu4to162epZzNK7J4+bYFlJV4aN7G+iBbVEwo077bwc5NeXTsUd9yTqW8vHLqNzA/A1VcXDhFRS7jnJAQB8nJRTRtZnZsGEBYeAhuj984Z39yhJQ4KkIiQ6nXtwVtr+tPn9fP5vQZN3Py91f/7/aibVmseXAyW9+ch7fcc9CcJr3qcuOyM4lqFMHuGelMunE5ebuKa9yefavzqCgOHP09660dlBcd/DEPJio2lKd+O51GrWMoLXBTlGO9Exl5aycufrQ7AGkWnk+lOvUj6Dq4EQ1bRNG+l7UOv5JSitffOsOWXaCjRndguA0js+HhIbz06unGOQCXXdGV/gPtO8BJiOOJM9RBs951GXBrey78YiB3bRzJo1nnUSchUHQVp5Uz/YF1fHfxEgqSSg+aU6dRBA9OOpXTb2rP3C92M+X1raz4JanG7clILCErObDHeM3sNLYszapxhlKKRz44mcFnJQCQtKuwxhmVug1szPPfDMPhUEY5AKeMbg3A0OC/Ju68ewBt2sQb53Tv0Yjrb+xlnAPw7PNDiYszP9nBqae14pzz7NmIrOqYHTEWx5+wupGc9O1VhNWNJKxORLXPbOEu8RJVP5ywmBBchR5+unQx1y8cTmgNdml2H9mMF3eO5rcnNzL/k9388f4ORj/WtcbPoW6TSJ6dNoyHTp5O2s4i6jS0Ps/squd6kZNSZnw6wkFjEkjfW2xLQdu9h7WR6/21bGU+2lfJrjad0KWhLTlC/FM4Qhxc+v2JRDeMIKpBGCHVnAvt82q0X1O3WST5aeV8fP1SErrF07QG0xmbt4/j49Xn8tsHWxn3/Dq+eWEdL009s8bPISTUyUvfncFtwyeTtNOsoB0yuhWPfDCEj59eaZQzdEwr5k3eazTyXMmu/lEpRbfujWzJsqtNkZGhdOhgNuBzIDJiLGqNiMaxxLarT3i9qBqd7i26UQTnfjmIe1PP46IJJ1G/YyyzH1lX40tox9QP58oP+/HkmjNJWp1PRXHNR40BWnSqw1OThpGbWmZp+UpKKe789ESatTfb5XTimAQGjUowyhBCiP1FxIXStGdd4ppFVrsoBggJdXDpi714P+l8npo3nJOvasMX/15JRam3Ro8fGubkonu78dXWC6nfLIrtK7Nr+hSAwPSFtyaNhBquMw7kvJtO4IJbulBSZP1aBl37NeL8G04wbouwRtW0eDgS+vXrp1etWnW0m/GPU7F7LxHtzOad1lbuEg/OcKflg1e01ngqfIRZPBADAke9m5wxxa4crTU+rybE8EAecXBKqdVaa7PLUx5jpN/+++VuyiW+QzxOg4MOTem83ah69l/Ayef14y73EWlwqtOKMi8RBgc/2tVna63xevxGWR6Pj9DQo/c+H+8O1WfLmvIfqmzDJgpnzDrazThiwmJCjY7oVkoZFcWALR2sHTlKKSmKhTjGFScVs+DuBUe3KC7Nxrd+3BHJdoY4jIpiwKgoBvv6bKWUcZYUxUePrC3/gVx7E8l8/1NCGpqdKkUIIcSRV5Fbwe9X/E7oUT5rin/X7+iM9TWepibEsUQK438YT2Y2GW++j3a5CG1sz0R6IYQQR4a3zMvs62ZTtLuIOm3tO2i1prTW+HfOgLIcKMk8au0Q4kiTwvgfRPv9FM9fhK8scAGS0Cb2HBkqhBDiyNgzaQ8lqYHTksXZcJYCq3T2FijcF/h/1saj1g4hjjQpjP9BlMNBVO8eKIcibtipMmIshBC1XOvRrfGWeul2azfqGFxK21hRKqpJL6jfES0jxuI4Jucx/ocpmPo7sUNPpv4Vl4AN57UVQghx5Gz/ZjsxLWPo/1R/tP/oze11tD8Tf/oaHBHxOHpcedTaIcSRJiPGR4irhudjPNI5AO7UNMo2bKLOiOEoh8OWCz4IIcTxoKLU2nnL9+eu8OHz2XOZWp/Lx+ZPN9Pjjh4opQ55qWU7aL+mcFchFbkVB76DqxjCYmXdIY5rUhgfAXuX5LBlSppxjt+vmfGkfXO5CqbNJGZgP0LlbBRCCPE/RbkV/PrmFluyvn12HT6PPSO7u3/ejTPcSesxrW3J25+7yM2eSXtY+fxKpl80nW86f8PGjzYSXvcgl+t1F6PCzS44JERtJ4WxzdxlXr6/frktWQvf2UHikhxbsry5eZQsXUH8qBG25AkhxPHikztXUJR9kFHSGti2LJtfX9+Cw2k+our3+dn44Ua63dYNR8iRWVWHRIWwY/wONn64kfTF6bQ5pw0n/ecklOPA7deuYpDCWBznjtnC2Ovxs22Ftcs/7m/zEvsOJJj22AZydpYYd4xZ24uY9vhGlA0dLEDBjNlEdetCWEJzW/KEEKKm1i3NsCVn48pMPB6fLVmLf9rHggmJBy0Gq8tV7uXt6xfj92uUDWvWpBlJuApddLikg3nYAaQuSGXy6Mnkbc4jvG44na7qxEmvHbwoBv43lUKI49kxWxhvWpTJ7G9325L18YMrKS8xn1+2e34WC9/dCWDUyfp9fr67bjneCp9xZw3gKymheP4i6oyW0WIhxNFRWuzmzYeX2JI17dudrFtsXmQXZJXz4R3LAIwHM755ch2pO4oCWYb9ttaaDR9soOtNXQkxvALn/nLW5zDj0hnMuWEOLc9sycXLLqb/U/0Z/Orgw69vZCqF+Ac4ZgvjpVOSWTYl2fgKPFnJJWxdns3q2eZzgnN2lVCneSRh0SFGnWzm1iLqtY4mLMqJM8S8MC6aPY+whBZEdGxvnCWEEFYsm53ChmWZZKaUGOVorZk/NZH5UxON27RnbR7NO8URER1iNAhRWuj+X18dGRtqfHBaxpIMCncW0vm6zkY5VRXuKWTuLXOZcs4U4jvEc/Gyi+l9f29CY0LpeFnHwz5/7feCp0xGjMVx75gsjLXWLJuaREZiCfu2FBhlLZ+WAgQKbVPdzmtOcUYFd8w/jcZdrJ+IvWm3eMKiQuh3bRvOfr2XUZv8LheFs/4gfvQIOZJYCHHULJi270//WrV7cx5picUsmGqWA9BnRHPKCj3c8s4Ahl7exnJOdJ0wWnSqQ+vu8bw050zjdm14fwOdru5EeJ2DHARXA2VZZSx5ZAm/nvYrjhAHFyy4gEEvDCKyQWTNgtzBDRoZMRbHucMWxkqpCKXUCqXUeqXUZqXUs8G/11NKzVJK7Qz+W7fKMo8qpXYppbYrpWzff5+6s4jQcCcNE6LZuMhsfvC+rQVERIWQnVyK3/Ackdt/z6BR51ha9KlHww7WOw+tNVunp9Pt3OYk9K1n1KaSZStxxsUR1au7UU6gXUXGI/QQGHnQeZuMcwDcBeW25Git8XlsOsWSTTlCWFEb+2y/X5ORUkJEVAh7tuYbZa1ZnE6ThBhCwxzs21lglJW1r4TkrYX0P7sF7fvUN8paNT2Vgee2pH1fs5zCXYWkL0mn283djHIA9vy2h58G/URJcglnTzuboR8MJa6VtUGbkk07AAVh0UZtchV78LrtmR/utamvtStHHCe01of8ARQQE/x/KLAcGAS8BjwS/PsjwKvB/3cB1gPhQBtgN+A81GP07dtX14TP59euCq8uK3Zrn89fo2UPlFWcX6F9Pr/2+82zCtPKjDIqFWeVa6/bZ5zj9/m0Jye32vf3JS3Vfp/nrzl+ry5ynabdvqnmbcrdqH0/D9a+Rfdqf8EuyzneMreeOfRjnblgj3Gbxl+9VM95dYtxTuKyHP18q0nGn8txz6/VV7b7Qb909TztMfgcbFmWpR88c4a+a8gUvei3RKM2ffLQCn1+o/H6w/uWG+VorfUTj/6h3/zPUuOc7dty9OABn+vy8r9+Zmvqpusn6W/Hb7S0LLBKH6Yv/bt+/o4+W9ew3/b7/YH+Ma/Clj67tNitXRVe4yyttc5JLTXO0Frr8lKPLs6rsCWrKKnIlpyC3QU6bXGacY63tEJvuuExXf7x6Tpv2Y5qryv9fr/2+VO02zddl3te06Wee/R3V/+qZzy23rhN0z7app87Z45xTkWZR1/e8HuduqPQKGfKN9v1lYN/0reNnqx3b8mznFNa7Nb3XjRdn9v1Wz32zbVGbfruw436ot7f6zvPnarzss1qk0kTt+nLL/7JKENrrT0enz5l8Jd67Zp046xPPlql7737d0vLHqrPPuyIcTCjclJYaPBHA+cCY4N/HwucF/z/ucD3WmuX1novsAsYUJ0ivbocDkVYuJPImFDjgxwcDkVMfDgOhzKeauBwKOKa1nD31EHENIzAGWo+00U5HITUr/6os87bjX/NV3/NUU7CnTdT7n0OrYvM2lSvG+qsXyCiHnr2lfhXPYsuq/mBNM7IUDrcOoj1T83EnW82cpzQvx6bJ6WSt6/UKKdZz3hKc90kLc81yoqKCyUjsQRXuY8Qg89Bu5512bI0i81Lsmjf02wkS2soynXh95uPrnTr3ogevRob57TvUI8ePRsTEWF+gFLXrg3p3buJcc7RVhv7bKVUoH+sG25Lnx0VE0pYuNM4C6B+syjjDICIqBBiDnb+3xqKTbBnukKdtnVoOripcY4zKpxOj41Eh0Sz/dmf2HTPWIq3phxyGa1LKPNeR7FnCGXe23H7fyDccStD7j6FRW9uJ3Gx2VmlOg1qyNpZaRRklVNocKq98MgQ2vSoy7JJyWTtsz7/vc0Jddm0MosdG3Jp3Sneck5UTCiF+S4SdxRQv5HZZ7NJi2h2bsojK62UujWdOrOfnr2a0KVbQ6MMgJAQB917NKKrDVk9ezammw05+6vWGlcp5VRKrQOygFla6+VAY611OkDw30bBuzcHqk7YTQn+TRwLQiLwrxuHP23tX24KdVyCQyVQ4XvT+GFUVGMcfZ9AnfEduEvQMy7Ev/5ttKugRjmtLu1BXOdGbHh2tuVpHuWFbvwezb6luXxwyh+WMirtXZxDo86xfH3JEjb/lmo5Z9DoBABOHJNg1J6wiBD6DG9Gm+51adwqxiirsi2DRrc0ygE486x2nDzE7LlBoEh69vlTjXMArriqO506m2081BbSZwu7OaggpH5D+n57FzEdm7Lxri/Z9tQEypL+eq59rf14/LPx6b0AKOoTHTIep6MTzfvW4/QnuvLDNcupKLJ2NiitNem7igkNd3JPv6mk7y62/Lz2rs+jXtNIJr65hbGPrrGcc0LvBjRsFs2QkS2NN9iGjm6Fw6E46SyzvnbgsBaERzg5ZXQroxyAlq3qcPMtfY1zAJ56ZiihoU7jnH4DmnHOuZ1saNGfVasw1lr7tNa9gBbAAKXUoSY/HegT8ZeKRSl1s1JqlVJqVXa2PecjFuZUaBSg8c17Hl1R8OfblINI5wu4/d/j9a+35/Hi2uAY/B/U0I8hfwt6+rnorV+gvdUbAVZK0fP5M8lbk0rKRGtXroqsE0bSqjy0hoLkMksZlcKjnaSuLaAwtRy/z/p87Gbt4mjdLZ4BI1sYtQcCBe2gUeZFaNfBjWjSOoYep5iP9NatG0F4uD2noWrU2GzOY9Wc4+UA1SPRZ4P02/9k2hU4VVtofDRt7hhBn3F34owMY90NH7HrP5NwZQeOQfH451HiPZsK3yuEO28l1DGG6NBvcTo6/i9r6COdiWsWyZR7/joAUx1KKQqyyikr8pCbWmbU1zZIiGb9HxnkZ5TjcVvfG6aU4pRRrRgyqrXljEqnjGpFr8FNiK8fYZQTGRVK/9OaM9SmKyfa2dfawel00KChPXt8qqrRPlqtdQEwDzgLyFRKNQUI/psVvFsKUHUt3AL4y7nQtNafaq37aa37NWxo/1C4sCg0uLvFU45/449/udnp6ES44wbKfU+gtde2h1X1u6OGfoIa+BI6ZRZ6xvnoPT8HThF0GBENounx9HA2vTKX0uQC8jek1/jxL3ivD7GNA52Q1ZFngFaDGnDqA4EtWG14MOcNz/elbiPzqTkDR7Vg8Dnmo7zOEAe3vzWQ0DDzLX3x97Czzw7mSb/9T+X+88U9IprE0+HR8+n56c2480rY+twT5CaNpMxzF6GOUcSG/kG48woina/iVH++SInD6eCSrwey6edkNv2SQtKyml/hdeStnehxemDqk0lhHFsvnH9/cqJxDsAZF7bjxOHmgxmtO9Xlmnt7GucAXPyvrpzQW76rNVGds1I0VErFB/8fCQwHtgGTgGuDd7sW+C34/0nAZUqpcKVUG6ADsMLmdosjJTwOR+/rAI2j9zUHvovzTrQuwu0fe8DbrVJKoZqehBo+HtX9LvS2seiZl6BT/n+ahPYdeC5Zk2HtaTaiI0uu+4Ht79f8IgLR9cO56JN+gHnnOOKZbjTuEmecYzqNolK9JlF0HtDAliy72iSOHOmzxRFxkMtBR7QpodVzC2jzn98p21aXHddeQM4PvfC7QwHwuw+8Z6hemxjGvN2bX25eybjzFuF11exMFQ6H4u7PBhMZG2rc1w4Y04Jh17Yzzhl4enMio0ONMirZNcp7SnBahqi+6owYNwXmKqU2ACsJzFebArwCnKGU2gmcEfwdrfVm4AdgCzADuENrbc+5WcQRp5r2xtHnOgiPRScvPfB9VCSRIc9S4Xsbvza/MMpf8x2oVqNQI35CtbsEveYV9B/XojNXoBffj/b89aC28swSCjZn4soqJXdFsqWD8bqd05x+17Q2HukNjXBy+diBxlcttHO3vl1Zx8tUg+Oc9NnCdtpdjKoyYuzXGZR5H6XEMxql4ogN/4OEM7+l7Z2XkTVjHWuufI/MqWvY/Z/JB5yH7HX52DEjg/I8NyVZLnbNrvmpVxu1iuHG1/sZ99kAN73Zn/rNzXbLS599fFAmu43t0q9fP71q1aqj3YzjkruwgpCoUBw1nOjuW/ExuiiFkOEvHPQ+Zd470dpDdOjHps08JO0pRe/4BnZ8A75yqN8DdfK7qNA/H0xWnlHMqnsmU7g5kx7PnkHLC2p+HtDyAjdhMSE4Q8zPCFKS4yKmgT1HqYvaTSm1Wmvd72i34+8k/faRU5JdQUxDs/mldvPOfhzV8AQcPc6mwvcRbv9YQtQQIpwP/Gn+MID2+cmauZ6kL+bizioitF4M3d6+lqhWf96l7y7zMvG2Vawdt48+17bm4i8H1rhdWmuKcl3UaWD+ehXmVNiSI2q/Q/XZx+SV70T1ZS3YQ966mo/qOtoNRycvQ7sPfvqaCOeTePUSPP5ZJk08LBUajWo1CiKCp53L3YBeeBfa8+e2RTaJZfDYS0g4vyvpM3dYeqzI+DBbimJAimIhRI3l7S1hxSe7j3Yz/spViDd0LUWeofj0GqJDxhEd+ulfimIA5XTQYGgXoloGpnB58krYdM9Yyvb9+YDNsKgQLv5qIGe/24ft09ItXfhDKWVbMStFsQCw57BwYTuttS27QDLn7SGySSwN+tdwbmi9dhDbDJ24ENVx5AHv4lCNiHA+QLn3GUJCB6OUPUeaHoiKSYARP0PRXsjfjM7fit78EXS/E+X8/87MGR5Cj2fPIGXiFrxlbkKiwo5Ym4QQopJdffbWyWlsnZLG6U90taFV5rT24vH/hHatwxsaQVTIG4So0w/7XJ1R4XR5/Wpc6fmUbEujZHsayWPn0/rWMwhvVOd/91NKMfjfHWjWK56szUU06133EKlCHHlSGNdSuycl0f5cs3MP+j0+shfvI7xBFF0eHFqjZZVSONoNw797Fo6DFMYAYY4r8fh/ocL3NpEhjxu197BtcoRAfAeI74Bqc97B76cUCefXjpWKEOKfYfXPKfS9sIVxcbxtShopK/Iozigntok9F4yyQmuNV/9Ohfd1NBVEuOOIiHwap6P60x2UUkQ0q0dEs3o0OP3QU9tanyxnThC1g0ylqIV8bh8LH1uNz/B68nmrU/GWuindV0BJYn6Nl3e0G45OW4suyz3ofZRyEul8Cbd/HD6/tfMICyHEsW7ux7vYt6bm/WxVFUUe9s4PTDfYNrXmp520i9e/jFLvhZR7HyfMeTmxoXNQbh8qvM7hFxbiGCeFsY08Lh8lOS7jnNTFWZSklpG2NOvwdz6EnOVJhDeKJrJZHNmLE2u8vIprjmrQCf/eeYe8n9PRhTDH1ZT7HkcOZhdCHEty08wu6gNQXuRhx/ws1k8xO0vPrtmZ1EmIJKp+GPsML5lshc+/lVLP9ZR6byREnUxs6FzCnTeCdoKnDHWA07UJcbyRwthGu+ZlscmwYwTYOz0l+K/1SwoDdLh1EA0HtaL56M60vKi7pQzVbhh69+zD3i/CeQ9+nYXbP97S4wghxN+ttNDNty+YX8Vz0+/p+LyadZPN+uxOo5py6iMn0LhbHc798O87yYlfJ1PmvZcS7/k4VAtiQ+cSEXIfSsUF7lB5ELYUxuIf4JgujO061ZxdOZumpLFpsllhrLUmcUawMJ6RYtQ2Z5VL7jotXn7X0fY0dPY2dNGhn5dS0USGPEOF73X8uubnoxRCHP9qW5+9emYay35Lwm94Htx1wX5/3+p88tNqfg71SqERzgP+/0jx6xzKvc9S7DkD8BETOoPIkOdxqEZ/vqOrKNioI3eAtRC1xTFbGJcWuVn8W5ItWbO+MT81jtaaTZPT2DYzA08Nr+BTlavQzYBHegAw4KHuuAs9xm0zoaIaoJr2wr9nzmHvG+o4gxA1mArfwc99LIT455ryjbXTKO5v7m97KS12G+csn5JMfmYFO1fV/JLEVfUY1ZRG7WI477lutkynO9K0LqHC9w7FntPw613EhPxIVMi7OFXrA9/fVQxhMSiHXA5eHP+O2cJ49ew0Fv6SaJyjtebrZ9eSl2E2zyx9UyF5+8pwlXjZNc/63OCI+HDajAxca73NyBaExx/904052g3HX43pFACRIU/h8c/D45+HX//9c+SEELVTdnopHz2/0pbR3tm/7mHprGSjDJ/Xz6rgdLXlU1KMsgZe1gpnmIOEnnVJ6BFvlHUkae3G5RtLsec0vP45RId8RHToOJyOw0y1c5fINArxj3HMFsbLpiSzYnoKPq/fKGfvxnwyEktYPs2sY9w+J5NGHWOp1zqa3QvNRh9qG9X6FChMQecdfmTdoZoR4byHcu9TlHn/hdZm748Q4viwcPo+0hKL2bUpzyjH6/WzaEYS86fuM8rZtjyHhglRRMaGkrS1wCirttPaj9s3kWLPGbh9XxHhfIbokImEOE6uXoCrGMKkMBb/DMdkYezz+Vk+LZnifDdbDM/csGxqYNRh6RSz0YdT/t2BXhe1oMOpDRn5zPF1Dl0VHotKGFStUWOtXfj0NjQp+PQG/Hrr39BCIURttyBYyM6fmmiUs35pBkX5LhbN2IfPZ33Du/PABlz3Yl/iG0Xw6Hc1O8/7sUJrjcc/jxLv2VT4XiLceTMxoTMJc45Gqeqv/rWrWM5IIf4xjsnCOGNvCYNGJ3DimATysyqMssKjQujcvwHN2sYadbLOEAcxDcOp0yzS+JLCSinqdqpjy1WUIhpFE1bP/CTxjnbD0AWHn9OtVDgRzrtx0A4Ar170l/tofx5+n/nZO3RFMf6CDOMcgNKkAryl5nMWy/Ld5CaWGud43D5SdhbiKvcafS49bh9FeS7yMsrwGJ4X2+P2sW9LAW6DOfSV8vLKKSw0++4CuN0+sjJL8RruOQLIyiyl1IbPgPgrn89PQrs6dOvfiIgos+tK5WaWM3R0K4aMbEXq3mLLOc4QBxHRITRrF2vLZeAbtYshIsb8mlkR8WHEt7LnIDe3fxxl3rsIdYwiNnQe4c4rUSq0xjnKGYqKN7vgFAQuOlW8K9uW6TRFaeUUZ5r3IR6Xj6QtBeY5bh+ZqSUUF7qM+lqPx0d5mYeUPUW29NmpiUWUl3qMs8rLPWSklxhlQKAvyEgvwW3YHoDiYhc52eanW/wLrfVR/+nbt68WtZvf76/R/X3+fF3svkQXu6/8y22uoud1ReGjxm3ybJqly7+52zhHa63nnv2Vzpi7yzhn0ae79Dun/mGc89Zti/XI6LH6toGTtM9Xs9e+qs1LM/UlCd/ri5p9p/+YsNuoTc9cPEcPc36hnzx/tlGO1lrfd/fv+qUXFhrn7N6dp1u3eFu73V7jrMsv/kl/9cU6S8sCq3Qt6Ev/zh/pt2s/v79A+/y5R7sZ/5O/PkXPHvKW9nt9xlk/37RCT3vI2ve1qqStBXp02FjjnB8+2aRPbfaFHt5qrN63s8ByTkW5R5/b9Vs9uN5/9VuPLDFq08fPr9QnN/xMj+wwThcVVBhl/fTDFn32yG+NMrTW2ufz687t3tfr12UYZ7371jJ9y02TLS17qD77mBwxFn+/mo5eO1Q80SFf41CN0frPpy9yhg3B715oPGqgi7JQsbXnMqJZO4vxlPnQWpO6ocAoq+vgRrgrfLTrWQ+Hw/qeg84DGuLz+inMqaDv8OZGberQpwEA7XvVM8oBGDGyHSPOamec07ZtXW67ox+hoeZHy581qj1njmhrnCNEbaFUHRzK/Ptql/x1KcT3bI5y1o7SoyCrnLz0wIhj8rZCo1HVwWckkJ9dQUxsKC3bW79CYHhECG1PqEtpsYe+pzSznAMw4LTmFBe4SWgbR2ydcKOs04e3YfTZHY0yABwOxfU39aJ7j0aHv/NhjBjZnhFntTfO2V/t+HSK45JS4UQ6/wP8ubBzhPVH+/PRvp1G+f7ibFSc+ZfLLoWp5fxy3zp2L8xh4Qdmz23AWS1wOBQnjkkwynE4FANHJdBtcCPi6pl1jJVtGTTarE0AQ09tRa/eTYxzAO66Z6AtOZdc1pWmzWQepRBHSsG6VOJ7tTjazfif8KgQnjn3D/w+zUuXziM0zPoGdvM2cbTrUpcho82nnJwyuhURUSEMOM1sMKP7wMbUqRfOKaNbG7epbt0Irr2+p3EOBPpsO6aKduhYj5GjpTAWxxilHCgVsd/fonCE9sfnXmiUrYuyUHG1Z8S47UkNiIgNQfs1XceYbenXaRBBr9Oa0meYWQ4ECtpBhgU2QOuu8XQ7qTEd+tQ3zgoPDzEaCa8qIsJ8XqedOUKIv9Jak78ulbo9zYo9O0XGhNJtSGMA+p1l3q6ho1sz1IYidMjIVgw+I4Fwwz4pJMTByWe1sqVNUPv6WqXUEem3pTAWR4UzfAg+l2lhnI2KrT0jxs5QByeMbEpohJNOwxob593yWn/jA5UA+g5vxsnnmY9iKKW4891BtmzpCyH+WUoT8/CWuKjTtenRbsqfDBzTIviv+eDBqCs60vNE8z1h9RtHccsT9lwS/Jp7e9KibZwtWf8UUhiLo8IZdjJ+zyq0tnZEqdYaXZyFoxaNGAN0P7sZnYY3JsyGgrZdT3vmBkbGhNKsnT0do11tEkL8sxSsSyHuhMY4I2t+Vowjqf+oFsTVD+eEE83XJe271iPEhjOcAHTq2aBW5fyTSGEsjgrl7IBy1MPvXmEtoKIEPBW2HHyXtzYVrTWu3DJKkwqMsk44qwk9zq89uwqFEKI2yF+fSrxN0yiSV+bi9fjxlPtIXW12wZjGrWK4+KFutpyyTxwf5JMgjgqlFI6wky3PM9bF2RASBpHWj/6ttGfsGkoT89nwzOz9jxOsseh64Qy4urVxm4QQ4nhSsC6FujYdeJe4MIe1Xyey9P2dZGwsNM47964uNrRKHC+kMBZHjTNsCD73Xy8AUh3+4sCp2uyY79p4aOAUXTFt6xGdEG+c5wyVr5UQQlRy5ZRQllxAfC97RoxPODtwULJS0GmU+ZzlEOmzRRXyaRBHjTNsMNqXhN97+Cvq7S9wRgp7DrxrNKQ1qP8vkIUQ4u/iqTC/Alhtl78+laiWdQmvZ88V/Rp0iKVhp1gSBtUnplHE4RcQogbk/ETiqFGOOjhCeuJzL8QRcmWNlg2ckcKeA+/CG0QT370JjYa2sSVPCCGqa9usDBwhDrqOrF1na7BTwfpU26ZRVOo8uhlR9cNszRQCZMRYHGXO8JPxW5hOETgjhX2naks4tyt1e5qfM1gIIWqifptovrhoMftW5h7tphwx+etSbJtGUanz2c3ofLb02cJ+UhjXMvuW5Rgtv3duJl5X9XbNaZ+f9B8XkTtvA97i8sMvcAQ4wk7B51mG1u4aLWf3OYxbXtgNhxyVLISooW3Lso2Wb9AuBneZj49HLyR7d0m1l0tbl8+ar/fiKfcaPf6R5i13U7wt0/YLe7Q+uQGNu5offC3E/qQSqGWmPraRvMRSy8u7Cj18O3oe5fmHLzSV00G9od1I+mgqay56kS33fEra+Lm4MvItP35NOUK6AmH4PWuqdX/t96E9Fehie696p5zyVRBC1NzCHxJZOrHmx0lUCosMoW5CFCXZLj4cMZ/irIpqLde0Zzybfk7h5RaTmXLfWrK3F1luw5HiLiyncGM6IbERRLWy9xzoDqdDLjYkjohjuhqoKLNnS9k0p6LUg9balra4S71MuHEFfr+1vNanNiJ5cQ5jT51Nwb7DF9jhjeLp8NzVOEJDKNm8j5w563DGRlp6bCuUcuIMO6n6Z6dQDlwTHkKX5OFdPw1/kdlojRDi71Ne5qkVOVprykvtaYvDofjwtmUU5lSvoD2Qhh1jiWkYTs8LWuBwVq/YU0px/qf9cTgVi9/ewTs9fmf12L2W23AkZMzcxtZXZhHRKJasebuOdnOEqJZjtjDOSStj1jh7vmjfv7rBqLAtyKzg+xc22NIWh1Oxa24WSz609twi4sNo3r8eOVuL+OqUWWSsO/zob0ynFrR95GJC4qNRTgdb7vyY4k37LD2+FYHTtlXvfMZKKQgJB+1HlxXUuivfCSEOTGvNl6+ttSVryjc7yEqzvmdNKcXr9yzG6zE/I4TDqSjIquCTOy1erAi44M1enPd6T9ZMSCIirvpXhottHMF5H/UN/KKgLNdt2yCNHUJjwyndl0fxjixCouVAOXFsOGYL4+XTklk62fruq0pej5+JH2wlebv1k4Q3bBnNDy9t5PfPdhq3RwVHC6Y/sZGcXcWWMtoMb4JyKKIbRhARX71Ott7JXWn/xGV0/fAO6p/WnW0PfUHie5PwlbkstaEmnGEnob3b0b6sat3f0aA1ACF9zztyjRJC2GrvtgK+/2gTXq/fOGvelEQWTjfbeE/dU8RLty4wLiRVcC26+Od9LPox0VJG8x7x9Lu8FWhY/X3N1mvdLkxgyP2duHHWqSx4bSs/XLMct017U02FxAZOpdZoaHvqD2h1lFsjRPUcs4XxsinJrJ2bYbw7bPOSLEoK3Cydkmw5wxnioEnbWD68fRkrpqQYtadptzo07x3PmU91JbaptSkN7c9qxmWTTqEgsZTMDQXVXi6uZ1scoSE0v3oY3T66g7Jd6Wy86R0Klm+z1I7qUs5GqJBO+NyLq3V/R8M2qLhGONsNOqLtEkLYZ8G0RIryXaxbkmGUU17qYeXcVBZONSuME9rXYcrXO/jkmVVGObH1wuk/ugUDz06gz1nWDzBzhjo4/f5OzH51a42n0p31ak/aDGnIHSvPJHt7EZ8MmUN+NabSHWmhseGoEAcd7z3taDdFiGo7JgtjV7mXNXPS8Lh8rJmTZpS1bEpS8F/rhTFAs/ax+H2aj+5YRvLWAss5F7zfh75Xtmbz5FTCo62dZrr5gPq0O7Mppz3fgxn3rMZVXPONh8hWjTjhzX/R9JIh7HpxArtemoCn4Mh1tM7g5aG17/BzhlXD1oT0PgflcB6x9hxttWl3qBB2WBAsZBdMTTTKWTo7BbfLx7I5KVQYnJEhoUPgjAbfvbOBP37ZYznnvPu6cNmTPVgzMw1niNnBYCfe1JbC9Aq2TEuv0XIOR+Bx4xOiuGXBMJr0iOeD/rPYM696e+GOlJDYCFpd3pfohLpHtR1/B+mzjx/HZGFckF3Bv98ZxE0v9aVOfbOr3vQ+vRkX3t2Vs2/tjM9nfRdfy67xnHpFG+4fN4SEE+It5zicDrqd15xGneOMv2h9bm5Hy5MbUZxSZml55XTQ+LwT6f7Z3fhKKsids86oPdrtomL5dEomvPGn5+b3pQIKn3s+rsI7D5vjaNCGkO4jKFq2jtLN5tNX/D4/Wz7dgKekZqeMO5A9C7PZs9DsgECtNZ/evYJJ727F6zHb7ZybXsa2ldlsXJhB5r7qnwrqQNL2FDPt8x2k7TY/+n350hTWrTUbOQTIyS5j6uQdVFSY7zr+Y85edu44fs8lezT5fH4uvrkrV93dgwGnmZ22q27DCO5+cRAPv30y+dnWTzOZ0L4Op5zdirtfO5HTL7B+1Uun00H7vvU55dLWlOSZ9SHh0SGMeqYrrlLrn+fQCCcXfTGA057owtIPzfpH7dek/7GHxTdOxJVf89c6vEE0bW8c/L/f87YXsPnL7UZtqrTsyz3kGpzBqVJmYgnzxlvfMKr00VMr+eGDTUafSQgcWLprUy5/TNxD8m7rUzwBUvYUsWBqIjs35lJcaDYtcu/eAn6fsdsoA8Dr9TNl0g4yM8zWRwCbN2WxaKH5lNq/0Fof9Z++ffvqY115iftoN+GI8vv92u/zWVrWV1Koy+Z8r/NfvFYXvP1vXbFq9p+y/H6PLs89X5dmdtRlOaOrlVmRmqG3Xf2ALly6xlKbqkqcukf/0Huc9pR7jLP+O2a+nvHMRqOMvPQyPcYxVp8T8rX+4qFV2ufzW85K3l6gh4d8oYeHfKGXT082atcT587Sw5xf6IdH/m6Uo7XWzz49X3/w3grjnJzsUt2984fa77f+GlW69V9T9MRftlpaFlila0Ff+nf+HOv9dlmJ25bPTW1m9fl5XV6998dNeuaocXrKiZ/qre8v1+6iCqO2uEs9+ruTftMLHzP/3ucll+q7Q3/QKevzjbN+eGWDfuKMmcY553f6VvcP+Vjfc840XZhn/bXy+fx6eKuxulfYh/rdJ5YZtemL19boXmEf6pMbfqbdLq9R1qyZu/XVl/9ilFFpQJ//6n2JBcY5Y79cpx+6f5alZQ/VZ8sloW0SEV39I4mPRUopqOE5I315GbgWT8a1Zg4hzdoRdcEdhHbsi3L8eUeFUiGExb5ARf5FoA7/kfS73aS+9SV1TulP3KDeNWrT/rTWbP5oPZ1v6EZIhPWvQ1mei5VfJbJzdiajXuhu1KbUHYER2biG4Yy8teP/dpNa0aJjHZp3iCMntYxepzYxatfAUS1YOiWZgSPNL+06clR7GjSMMs6p3yCKp54dasv5TM89vxODT0owzhHHhsjjvM8Gavy9cBe52DthI3vGbcAZ4aT99X1oeV5nQiLNX6tFj64gJMLJiU/3Mc6a+9Z2Og1vTPMe8UY5P/9nE8smJnP61db3GAB43D7SE4txOhUX39aVuLrhlrMcDsVJZyYw8attDB1jdsDikFGteOfxZQwalkBomNnUwyGntKTMplMcPvjwYFq2Mr84y4iz2tG6Tbx5g/YjhbGwnTd1NxWLJuLZvIzQzv2Ivf5ZQlp2OuQyjtAuhERdi9+98rD5mV/9CkrR6JrzjduauTSdot0FdLr6BKMcn1cz6YF1AMx8bjNXfXsiIeHWOqK0nUVExoTw9JRhNGkTa9QugBNHJ5C2p5gwg8IfYNDoBGApg8aYF4/9+je17eT8F15s9t5VGnFWO7lggPhHKs8oYdfX60icsInYdnXp8fgpNBve1rYLH+34YQ97Ju/j4j/G4DQs0ErzXCz+ZA+3TRti3K6Zn+8kbWcxHpePviObW+5v0/YW4/NpnvzvUAaf1dK4XaeMbs2Cafvo1r+xUU67LnVp3iaWoaPNzwgSHh7C2ed2NM4B+/rsxk1iaNQ42pasqqQwFsbcGxbhbNEef246FQsn4k3aRlivU4m76x2cDap/LfvQ6Dtx+5465H2KlqyhaPEq2rzyII4w66MYPrcPX7mXTR+uo8OVJxBWx/oWPoD2/f+c6SF3dbRcFANk7Svh0Z9OpX2f+kZtqjRoTEvS9pjPC27QPJozrm5HUxuKdTsLULuypCgW/xSF27IpzywlsmkMO79YS8q0HTQ6MYFBH42hQf/mtn4X8ncWMv/BZZz+/knEtTbrO4qzK1j8yW6ada9DuyHm57DXwUM4Tr64tdEgRNKuQm55tj9nX9fZuE0AJw5vwbDz2xrtLYRAn3baOW04yYZivTKvNuXYnVVJCmNhmdYa16LfKP/9axx1G6PLSwgfOJLoS+7FERNf4zylogiLeeigt7vTs0j/5Dua3nI5YU0bGbQcSpKKWXzfPPK35DL49aFGWRA4SAVgyF0daDfUrG0j/tWRhgn2bQV3O6kRrbvF25J18yv9bckRQhwdWYuTWH73NMLiIynPKiFhdEdO/+ky4jrasyFelbfcy8wb59P5sna0O9t81PLj0QvJ21vK5Z/1t6Ug8vk0HQc04MIHuxrldOxRn5NH2VN8QmCaz61P9LMl6/oHelO3wd93NdvjgRTGwhLt91E+9Qtcy6cHfve4iLv7HRyx9YxylfPARaXf7SHlrS+JO6kfcYPN56gV7S0kd102yqFY/+ZqBr06xKij9fs0DdrHMOqlHsZts7MohsB5tk3P3lKpbmPpYIU4Vu2buJW1T/6B9vrxVXg56fPzaDjQ/JiBg1n8+EocTgcnPmte5JXlu0lamQfArJe30OHUhkTWMbuaXmiYg3u+GIwzxGzKSOOEGKPlD6R+Y/NjMOzM+SeRwljUmPa4KJv+Ff7MJMJ6n4ajXhOc9ZuCz/zyqvvzezx4svLInz4ftKbxdebzigGK9wZOg9NoQBMGPDfYltGHy74cQFiUfKWEELWL1po9324gaeI2mp3RjpiWdYhuFW88hexgcjfnk7e9gJ2/JHLxH6MJiTA/53zWzsCVYOOaRnD9hMHGRTHAFU/3NDq9qjg+yVpc1FxIGNHn3PK3PFTJ2i1kj5+MN7+Q1q88gCPMvDOEwIhxnY51OfW/Z+A0PCgNAifWr9vS/oMAhBDCDm2v6EG7K3se8ccpyyxn6uVzcBd5OPWtQdRpG2dLbvaOYiJiQ7ht+inUa2VPXzvk0ta25IjjyzF5gQ9xdP2dBykVzl+JOz0LFeLEtc/sKodV+Sp8DBt3lm0jJnLglhCitlJK/W191M6f91KaVoavwkvetkLbrgiXt6+Mm349mRY97buKnvTb4kBkxFjUWt7iUkrWbEaFhtDwsjHEDuplW3afxwYQacN5dIUQQvy/HT8Gro52wjUd6XNvd9uKzxNvaktcY3uOlRDiUKQwFrVW0ZI1hDWuT/N7rieitdllZPcnRbEQQtgrd0s+RftKOPPLobachaIqKYrF30UKY1FrKaUC5yuOODIHiAghhLBPwe4iLp47hrhW5uc6F+JokcJY1Fp1zzz5aDdBCCFENdk9SizE0SAH3wkhhBBCCME/vDDOTCyxJacgq5yKMq/l5f0+P0lr843asGd2BqVZFUYZQghRm6XvK7blLAdaa9L3FRtl7FidY0tbspJLyM8sN84RQtjjH10Yz/h0B2t+TzXO8Xk1r1+xAJ/Xb2l5h9PBws9288W1yyhIt9ZBRjcM54POUxg/ci5rv9hNeZ7LUo4QQtRW29fl8MVLa4xzlFK8fPsC8rKsF6QpO4u4d+g0dq7JMWpL3caRPDRiBj+9tQmP2/6LJAkhauaYLoxNt9Ybt47h5Yvns2t1rlFOvaaRrP8jg4/vXGG5TWc9fAIrvkviiY5TmfHaVjyumnWQjXvWZcTbfdk7J5Opt67kk17TSV+bV+3ly7LKKdhdRO7WfLLW5pC+PIvUhRn4fdaKfSGE2J9pn92yQzyfPLOKSV9us6U99507nfJSj6Vlh17cmqJcF3cMnMxbty6mINvaHrvQMCfn3HoCnzy4klv6/MbKag7WlBW6ydpdTOrmQvatyWPXkhy2zc2kNN9tqR1CiIBjtjAuLnYxdfJOo4xmHeKoKPXy7Jg5ZOyxvltNKUWzDrHM+HQHP7y80VJG/ZbRnHR9G1wlXiY+sZF5H+6q8Uqk5zVt6H1TO1DgLvWSvan6J1f3lHhY9MhyfhgymZ/PmMbE0TPY+s1O/B57Ts4uhBATvt9stHzztrEoBS/ftoDF05OMslp2iGfLqmweu3w2Xgt7+5xOB1c81hOtYdpnO/j04ZW4yq1NqRtxfQcaNI8ieVshb9+2mM1LMqu13Oy3d/Bs9+m80Hcmr540m2/vWI3fZ73Pzt9XiqvE2oaCEMeLY7Yw/mP2Xib+ut0oo3nHwKUqi3JdzP5qF36/9Q6lWYdA1rLfkkneVmgpY+SjJxAVH0p4TAhel8/SidFHvNmH/rd34OxPBzLz/jX8evVSXMWH7+jqtI1j9A/DOeO/Q4hqFAlA8rw0vmj/PZMvmsXadzdRlFizjYcDFeVaa1x5ZTXKORi/1482eM/sprW27SpPZdV4z/7OHK21bVninykzo4SXnlto9B0JjwihSatYfD7Nb19spaTQ+pSxhPZ1ANizJY/F06wV2add2oZm7WNpmBBNaYGbkFBrq9SwcCeXPtSdhgnRFOe5qpUTVSeMK97ry2MrzqRln8DV4IqzXdzf6FdeHDCTXx5bz57lh94b6vf5SVqWw++Pb+CdnjP4aPBssrYWkbo67y8/VqcK7s9r03QRu+aa29VvlxbbM1JfVuIxqkWqsqtN/zTH7OnauvdsTN16kUYZ9ZpFct69XWjWPpYzb+qAw2H9Cj1dhzSmx6lN6Dms6f+K5Jpq0DqGW38+mfDoEDK2F1nKCIlwcsbrvXE4HTQbUI9FL2/BWc3OWilF+/PbkDCsOSteWkvP27viLnSTMj+dlPlpxLWKIa714c9P6avwkPjdWqKa16H+gJYUbEynYFMGhZsC/4bGRXDq5BstPT8IdGZJ0xNZ99pKet7fl9Znt7OcBVCSUc6UW1Zw/rjBhMeFWsooSC9n47Q0NkxOY+it7el2VlPL7fH5/Dw7Zg71mkZy/7ghlle2AD+9uom0HUWMvKUjPYdZb1NBVgWvXjqfFp3qcMfHg4yvZjV+3AZiYsI49/zORjn79hXw2SdrefypIUREmHVn77+7gh49G3PKUDnl1JEQEuLg9bfPxO32ER5u/b0afVUHGjaL5vQL2xJjcEn3NifEc+crA+nSrxF9hzazlOEMcXDvRyfRqks8U/+7HWWwDhl1Y0fa96rPrrW5RMZWvx9q3a8ej684g7kf7KJ+qyha9Ixn6+xMtszKYN3EFNoOrH/A5crz3cx6ehNrxyVSURjY6HU4FZ+fMf+A939oz2ii6ll/vZNW5fHbIxto2iWOi97tYzkHoCizgk8uXMx1YwfSsF2MpQy/X/PzW5uoKAsU6lc/2cuoTS/eMh+lFLc/P4Dmba3VAACr56fx44ebGDyiJZfd1d2oTY9fMZvImFAefu9k4huY1UvLl6WyaGES9z94olGO1+vnuafnc/V1PenQoZ5R1ozpu0hLLeaGm3ob5ezvmC2M27atS9u2ZtdMV0pxw3/62nLJytG3d7Il54TTGwMctDOrDoczUEjVSYhm9If9a7x8eFwYQ14ZiNYa1TKGBt3r0evfXQ+7nPZrUqduYccHi6nIKCasXhTuvDIimsQS360J9fu3pN0NA4nr0rjGbcrblIPP5cPn8rHmlRWU7Cui+529STizdY2z9jfrwbUopQiLtf51mPn6Nua8s4PGHWNp3d/sy56dVMqWRVkoBWGRIdz9+WDLG23JWwpY9lsyWxZn8fzMM2jVNd5STtqOIjYvzGLrkmxi6oVx3ct9LeVUys+r+N/n1ESjRtEsW5piXBQDpKUW06NnzT+bonrqN4jizBFmG7EA/3qqny19bf/TmzNgWAvjnF6nBTY4r3qil1FOWEQI3U5qTLeTav4ZdDgdDLurY6DPVoohN8Uw5KZDv9aRdcM4590+jH6jF4kLs9k6OY3kFbncOPNUwqLNv0+luS62zcokoU9dpjyxkY2/pXLSre0Y8XgXo9yyAjfvjphPg7bR1Gtl/QqmSyYl8dljqwmPdPLGHyON2gSwfnEG2WllpOwu4r3po4mra20jImlHIctmprB2QTr1Gkdy5qXtLeV4PT6Wz0rB59OUFLp5/ZcRhBv0kyEhDpL2Wdsbvn/OmtXp3PuAWYEN4HH7yMoqNc7Z32FfJaVUAvA10ATwA59qrd9RStUDJgCtgUTgEq11fnCZR4EbAR9wl9b6d9tbbhO7ruNuV05tUpPnVJKYx6YXZpO3Kvl/f4tqUYeTJ1xNRENrW/SVcjfmMPuKaYTVCaMip5wT/tWdLjf3ICw2zCh347eJOMMc7Jicyi3rR1l+D4syK5j/0S78Pk1xtovMHcXEnGh9ZCVtZ2DKSof+Dbjt/QFGezLSdhXjcCru+myw5aI40KbAHow+I5px9fPmW+cjx3Qg3mC0r1JkZCgvvTrMOAfgksu60rVbQ1uyjibps//enNrEynNyhjpod3pj2p3eODCtwIbd+KW5Lt4fPo/SXDfFmRX0viSBx7eNpEEb6+uC7N0l1GkawQdjFhLTMJwbvzsRZ4i1jWutNd+8sA6/T+Mq97FzTS4d+jSw3LbyUg/ZaWXEN4jg+XHDLBfFAMm7AsXnVff3tFwUA6QlluDzaZq3jeOZL08zKooBevdpYttUwaefO5W6dc0v8X3asDa0Nxx1PpDqvFJe4H6t9RqlVCywWik1C7gOmKO1fkUp9QjwCPCwUqoLcBnQFWgGzFZKddRay3lojmMxresx6LNL8Ht8uAvKceeX4y4oJzTWrPipLIrdhS48xW5O//osmp1iPsoDsHF8IntmZ9D1kpY4w6yPXs58YxueCh+n3NyO817oTmxDsy982s4imnWI5alJpxMRbW1qBwR2FWbsLubOT06k38jmZm3aVUzHAQ14+PtTLK+MqmrXzmxvT1X9B1jbDb6/Xr2b2JJTC0ifLSxRSqGcZhsMJTmBojh1fQEAI5/uyqhnuhll+v2ajy9YRFTdMPw+za2/nkRouNNy3tIpyexel0fv05ty+1sDad3VrD9K3lVERFQIb/02kpYd6hhlJe0s4OzrOnHz0/2Mc+IbRPDOlFHUb2x9ZL2Sw6Ho19+evtauPjsmJowTutg/mHHYwlhrnQ6kB/9frJTaCjQHzgVODd5tLDAPeDj49++11i5gr1JqFzAAWGp340Xt4wh1EtEwxniUGCB3QzZzrp1BdPNoWo5sTf3uDYgwnCdVyVvhI2lhNmgoTCqzXBgXZ1eQsqGAx1edSas+9my5lhV5eHbacOoYFtg5yaVc8lh3hl9vfdShKtNCXfw9pM8WR0tlUewq9tD7kgRa9qtHy3518fv8RlOn1v6SQuqGwEjqOc93MyqKtdbM/mY3T/14Gief18qWPQepe4t46bvhdB3QyDirZYd4Hnh7sHG7ctLKbCnU/4lUTYbGlVKtgQVANyBJax1f5bZ8rXVdpdT7wDKt9TfBv38OTNda/7Rf1s3AzQAtW7bsu2/fPsOnIo43hbsKiG4RQ4gN80f3t2dOBt+OnEfn81pw7thBhEZae4yyQjeRcaG27patKPMSEWX+nCvKvIRHOm1pm11tOl4ppVZrrc2GeI4AO/vs4G3Sb4uDyttXSnhsCNEGB+ntz+/XvNjrd1I3FtJ2cH0ufbcPrfpaH4Rwu3xovybcYp9/IBVlHiKi7Bk0sCvLzjYdjw7VZ1f7k6GUigF+Bu7RWhcdYmV7oBv+Un1rrT8FPgXo169f7Tnnlqg16rSPP2LZe2dnMODOjgx/rZfRSEZUHbN5zgdiVwFqZyErRfGxx+4+G6TfFodWr1W07Znrf0ulJNfNDeMH0f/ylsYb+mEGo80HY2cBaleWFMXWVWttp5QKJdDBjtda/xL8c6ZSqqnWOl0p1RTICv49BUiosngLIM2uBgthhzbDm9B22HEzp1SIP5E+Wxwv/F7Ns9tHEhEjhZ74exx2qEwFNs8+B7Zqrd+sctMk4Nrg/68Ffqvy98uUUuFKqTZAB2CFfU0WwpwUxeJ4JX22OJ70vThBimLxt6rOiPFJwNXARqXUuuDfHgNeAX5QSt0IJAEXA2itNyulfgC2EDg6+g45ulkIIf420mcLIYRF1TkrxSIOPAcN4IAnENVavwi8aNAuIYQQFkifLYQQ1pmfkFQIIYQQQojjgBTGQgghhBBCIIWxEEIIIYQQgBTGQgghhBBCAFIYCyGEEEIIAUhhLIQQQgghBFCDS0LXFl6vn4oyDzFx5tdiL8irIL5ehHFOeZkHh0MRHmHt5fT7NYkb8mnRuQ5hEWaXq8xMLCE03EG9plGWli9KLydtfQHhsSGEx4YSERdKeGwIEXVCcYbIdpQQwrrycg+RkdYv1lCQX0Gd+HDjywJrrSnMdxn1/3u35tOgaRSx8WbrosK8CgpzXbRoF4fDUfPn5a7wsWFuBhHRIUTGhhAZG0pUXCjRdcIIPQKXPxbieHfMFcYhIQ6euXMeg4clcN5VJ1jqSCqtX5HB1Ak7uP/FwTRuFmM5JyzcyR0XTuGi67sy7Jy2Ne60HQ5FdlIpD58yg2Yd4+jQtz4d+tXn9Gva1bhji6kbxtOjZpOdVEqHvvVp368Bg85NoHX3utVaPrZJBNk/FTP5wfX43H4AGnWO5Y4Fw4hpYH0F4PP62bs0F2eoos2gBpZzhBDHJq01b72xjMeeGGI5w+3ycdXoX3jkxZPp3rux5RylFO+/uoJGTaK57o5ehIXVvIB0OBWX9/qR8KgQTujbkBP6NGTEZe1o0DS6Rjmx8eF89ORKZk7YRec+DTihb0P6n96cQWckHH5hICzCSWiYg9cuX0B+RjkA4VEhvDJ/BO371K/x86qktSZpSwHpe4oZdHZLyzlCHGuOySHAS2/qxqM3zebLt9ca5ZwyohW7t+VxzRm/UFLkspzjdDoYc1kn7rh4KlMn7LCUMfCcBB4cP4SkTQX8/tlOdq3Js7S1H10njOemD6dhy2iWT07hp1c3Ed+4+qMiSimG3NmRu5YOp0GHwMZC1rZiPhu9gB2zM2rUlvJCN6snJDH2qmU81vg33jnlD9b9lMKKcYk1yqlKa82Ct7dTnFlBytp8ygvclrMAPBWBC3yVGeZUZpUVuNFaG2el7SzC5/Mb5wAk7iywJSdpd4EtbdJas29XgXmDxDFl5448vvhsHV6v9c9QoybRdOxSn3NP/p6dW3ON2nP1LT14+fGFPPfAfEvf2VYd4/lg5hgqSj3M/H4XU8Zup17jmu+pczgUD713MiMua8+quWmMe309NW1Oz2FNeXftGPqc2QwAV5mXVy6Zz5QPttUox+P2sWZWGh/fs5wbO/7CbT0nMXvsbia+uwVXubdmjapi7aw01s9JJzu5lLRdRZZzALwePz6fn5IC6+vsSu4KL+4Kr9Fzq5S0s9CW/jE7rZSSQpct65H83HLyc8uNcwD27sy3pU0p+4pwucxf7yPpmCyM+w9pzoufDuOym7sZ5SileODFk3j/h9HGUzNGXtyB5z48nREXtrecMeDsBB79cSjNO8Vx2lVtLedExQWK484nNmTkrR2p07Dmuwtb9K7LvavOpO/Vrbh5xlD6XtWKiLjq7wLVWrN7UQ7bZmawfXYmZXmBwjN5dT57FufUuD0AJTkuvjh3Eb/dt44PTv2D9wbPZt8ys5XjhHvXMuO1rTzX+3e8butXwU3ZUMBPD63jxf4zWfVDslGbPC4fj57+Ozd3+JXEjfn4/dY7o42rMxnd8xvmTN5j1CaAx2+Zw20XTMFVYdap/TFlL2N6j2f9ipptaB3Izh25jDxjPBWGbQK4584Z/PzjVuMccWBt2sazfPVNGM6C4Nb7+/HeuJF0OMH6aChAq7bxvDN2JHc/PtDy1IxWHeP5aPY5NGwWxQ2P97G8B7OyOL7wli4MPKMF3QY0qnFGfKNInp46jOtf7cONb/Tjmhd6E1e/Zuu1pM0FrJ2dxtrZ6WTsLQEgfU8xa2el4fPUvOjzevyMfWwNT4+czYd3LOOmtr+w4PvEGudUNfubXXz/6kau6fATKTsKLee4yr28efNiXrh8Hp8+vNKoTQAv3DyP8zt+x8Kp+ygr8VjOWb8kg4u7/cAz188lI6nYqE2fvbuG0Sd+S2Z6iVFORloJIweO54v3zQYjAd56YSnnD51AQX6FcdbYL9fz+CN/GOfs75ibSlHpouu62pJz4unV2111OE6ng0tvMivUIVAct+hch2Yd4oxyouLCeHbaMFzlPsudfkRsKFeMHYTX5aPTmU1qtKxSim6jm9FtdDP8fk3Syjw2TUmj9aD6dBvdrMZt2b0gi/FXLqMwNbD1G9sogruXDSeyTliNsypl7ylh4X934/dprni/L85Q69uJU57fzOqfkmnevQ49xtT8+VWVvruYvLTA81z8875qT4M5kI9fXslFN3Sl94lNjdq0YkEKuVllPP7mUMtz6SGwwfTf11dz3V29/q+9+w6PqtzWAP5+6Z2SgCC9NwWEIKhYsaKCxy4qeizYPXpseAQbekQ9BxvYAJGOIFV66ISekAQIJKRACklISG8zmbLuH0nuzUVEs78dkkze3/PkIdlkXtY3TNZee++ZDLr1aalVEwB07dYCF7UJgI9GTdXatQ9Cj576NdG5eXq6IzjYVzvnorYBuP3uniZUBIy6r5d2RscezfDdplHo0F2vZytVORyfSi4y/LxlNzeFu1+/BDarw9AVx26XBaPbZcF48tNQZCQWYd/qyoP8v71S+/1tdkoJPn94J+L25AAASgts+O7oaK19m93mxIJPDiEzuRjXP9gVbbsFGs5aMz0emxckwzfAA9P2jTKcUy35aD6K8qxY8u0RXHFze8M5qQmFyM0qw5alybhnXF+06WhsjQX5FqxYFIfnXg9FSGtjrzmq9v1/I3D9rZ1xyyjjJ/4AICW5AHu3p+Otj4ajmeZz8wGgW/cWppwUOVujHYxdme5QXM0vyAt+JkR5aL6Aw81NofPQYHQeauwMz5nEYhxdnYmhT3b93xcDegd6Qmk8vxwA1v77KJwOgYeXGwoyymG3OuFp4MWPp44UIPLXyh2It78HTh8vRsfLjA+zGQmVlxpv+nt3jHlvgOGcslIbXpwwFH0GtjKcUc3HzxMrI8fA01PvsZCXU47JM25C5x7NtWsCKg9IP/r39aZkjXn4ElzczviOlpqujj2amZKjlEL7bvpZZrzo7uLuQYYGYgAoK6rA5tlJGHBDG1xxVwf4BnjCN9ATbh56PXvLwiRkJleeRRWnIP+0BSEX137oq7DY8cvnhwEAAS28cTI2Hx16Gb/fC3ItKMqzovdlIfhk0U3w0OiTaQmFcHNTmDRvBPpfWbsTUjWdOV2GNXse1v4FAw6HE6Pu74VBQ/VOrgBAaYkNYVFj4edv/AW4NQ27oj26dzf/ZAYHY2rwQroH4s7PjA+I53LmZAn2zD6BgXe1w/3/vQytuhp/8eWaj46iWVsf3PPpAAx9uLPWC0KBysE49LZ2eP67YVqvvvfz9zRlKAaA/qHGX+hUU3BrPwRrnr04W/sO5hxItmtvTg5RU+cX5IWH3jW3ZzvsTsz/dwy6DmiJ56cMxYBrjQ+Na2ceR0l+BR6dOBD3v3EpfPz0RqG0hEJc3CUQU1bdBv9A41cxgcozxm98PRzXje6ildO9tzkDo7u7mylDMQD07W/O/qiah4cb2rQ1vu/+w1zTE4kagegVp/Dy2mvR9ybjzRUAspOKEdLVH2On3w6fQHOOgv2be+OtX66Bh8ZTO4iIXElkWAbuffUSjHyqJ9zdjffGCqsDmUnF+Cn2blzUyZyhqrjAiq9Wj0RIG/2D/pvu64Z7nulrQlVklDLjVYa6QkNDJSIior7LoCZERLR/F6qZOXWdSXVLKRUpIqH1XceFxL5NF1JT6dns/xfG+Xo2T0lRk2RW46mLBsamSET0/zWVns3+X/84GBMRERERgYMxEREREREADsZERERERAA4GBMRERERAeBgTEREREQEgIMxEREREREADsZERERERAA4GBMRERERAeBgTEREREQEgIMxERERERGARjgY2+1OxMXkmJIVf/gMKioc2jmlJRVIjs83oSLgaFQ2nE4xfPuTh/MRvuQksk4UQ8R4DhGR2bIyS7Run3ayEHlnyrXrEBEcOnhaK2P/lnTsWpeKvGy9egpyLVg9Jx6Jh3Nhtzu1sohIX6MbjD083DBnWgwmPLsZudllWlkiwOjBC7Bjw0mtHP8AL0x+cyc+HR+OkiKrVlbO6TLce+UviNqbaej2Hfs1R8yWLDzdfTkevmgx3rttE+L36R1IOJ2CY/tykJNeqpUDAPnZ5Ti8M0s7BwCyU/R2smbniAiyU83JInI1DocT707YqpXR6iJ/3HfjYsz+LlpriFRKYcu6E3j6vlVISS4wlNFvSGv8/GkUbm03B3d2nY+3HwpD9qna98jmwT4AgIcH/4rrW87CU9eswJq5xw3VVFNqYiHios9o55SX2rBrQ6rWCZtqmSnF2hkAYCm3ax+QVDOrJnIdjW4wBoBn3gzF8jnHsH5pglZO7/4h6Na7Jb6YuEd7oB33ZihmfXEQe7ema+Vcc0snuLsrfPPhXlRY7bW+vZubwnPThuK2Z3qiONeKY3ty0LFf81rnOOxO7FqZgv88HY4HOvyCl65ajcxkYw0kLb4Q8/8dgxevXI372y3Cr1/GGsqpacUXR/HlE7uQm6F3cHT6ZAnevn4D9q/W+38TEfz0RiR+eGk/yoptWlkAELk7AycTCrRznE7BqgVxppyJ2r05FVnp+jsRq8WOtYuPm3JFY+fGFGRn6h+wAUBJSQVsNv0rSHRuiQl5OB6fB6uBvlbNx9cDDz5+CSZPCEfaiUKtev7+wkDs3ZmOuT8cMvRY9A/0wlerR2LAVW1wOq0Ep1NL0Lqdv6Fa7hjbCxNnXIcKix2H9pxGh25BhnKi92RhyvjduOuShRjVdwHC16cYysnLKcfiH47ghVFrcG2bWfjohe2wlhv/fwOAyO0ZeGXUOhzZp3em3lJuxxt3b8D8L2K0e8imX5Pw1v0bkRSbp5UDAHlnyrFpTbJ2DgCErU5Cfq7+4H8iIR8RezJMqAhYs+w4ykr1920H92UiMU7//gaAigoHysr0azpboxyMO3VvjmX7HsSYZ/trZ7328ZVYtOM+BAR5a+WEXnUxVkaMwY2ju2nlKKUweeZN+GHlKHh5exjKcHNTeHbqUNz2bE+M+3IIfAM8a53h7uGGbgNaovvAlujavwU8vd3h5etuqJ7WHf3RfWBLdL+sJULa+cHbz9i6qi2fEouZr0fg8LbTiNlk7Mw6AGSdKMa/btiA7JRSzHs3ynCTFRHMfD0CK744iv2r05FwQO8sjYhgyoTdeOrOFSgu1Dtg2/JbMt54fCNWL4zXyrHbnfjgpW146YG1sFr0dpC/zorFq4+s1z6ILCmuwOtjN+Dd5zbD4dAf/J/++2+YP/ewdg6dW6/eIdgW/hi8Dfa1ao+M6491+x9Blx4ttHKaNffBsq0PYPzHw6GUMpThF+CJr1aPxMDhbTBh+nVa9dwxthfenXk97nmmL/pe3tpQRpdezdF7QAh6DwxBQDMv+Bjstc2DfdB7YAj6DAxB557N4eHlDncP4+NCxLZTeOXOdThxNB+rZsUZzrGU2fD639Zj36Z0LJ56ROuscdiSJEx8ZDPiDp7BlmX6A+2Mrw/iqXtXIT5Wr/9nnSrBcw+tweQJ4dqD/9eT92HsncuRqXlCIzYmG889tAY/fBGhlQMAn7+3C4/euQwF+RbtrO+nReDVlzdo55xNr0PVo16XhpiS06WnXnOtyayauvVuqZ3h5qbw3NShsJYZH2LadA7EXS/0xV0v9EVZsQ12m7Hhw9vXA0NHdsDQkR0gUwXZacbP8C37zxHMnRCNboNaovvgYHh4uUFEar1jy0ouxr9GbITTIRg6qgN6hAYjL7McwRf71SpHRDDjtQis/+E4eg0LQY/Bwago1zvruG97Opq39MHkGTchsJnxAzYRwZJZsfhs1s0YNaaXVk3rliRg0JVt8c+ProS3j/G2UWG1Y/2yRHy//E4Mu769Vk2LZxzB6Ed648UJQ+Hurn+Mf+PNXXHDiC7aOVS3fP080blbc1OyevQJ1s7wC/DEl7+NhJ+BExBnu/3Rnrjh7i7wMDiENmvpg5EP9cTIh3rCZnMgP8fY8OHmptB/aBv0H9oGL344FJmpxfDwNFbTga2n8Prf1uOiDv7oM6gVuvRpAavFXus+Yimz4bW/bcCxyBwMuaEd+gxuhZxTpQi+qHY9GwDCFifi/b9vRefeLdBncAhC2vjB4XAa7iMFeRbs33UKv2y8F7366c0Bs76NwvNvDsFzr4UaPmADgJOJBchML8GSzfehbftAvZqmReO9/1yLsc8O0Mo5sPsUfP08sXDdvWjewkcrCwBG3NQFbdoGaOecTTWEF2iFhoZKRIT+kQi5NkupDWnHCtH50soz2DpOxOShWWsftGxb+6ZaU1GuBbnpZejQt7nhHcfZcrPLENxary4AKC+zweEQBAR6NZiaigqs8PF1N3w1pC5qqlZaWgF/f2P3lVIqUkRCTSumEWDfpj8jIojdn43OvZsjQOMgHwBOnSiC0yFo1zUIbm7GB0a73YljETnofmlL+PrrH8wAlU+jaNbC25QD9DPZZQgxoa+dyS5DcCtfreEaqHxtQGG+FS1DfE2pyYy1VRMRlJXZDPXt8/VsDsZERJo4GBMRNR7n69mN8jnGRERERERm42BMRERERAQOxkREREREADgYExEREREB4GBMRERERASAgzEREREREQAOxkREREREADgYExEREREB4GBMRERERASAgzEREREREQAOxkREREREADgYExEREREB4GBMRERERASgEQ7GdrsTK+Ydg93u1M7asyUNacmF2jmlJRVYu/g4REQ7a8vqZORklRq+/YlD+Zjx2gFsnZeMtLhCOJ36NRERmSE6Kkvr9knxedgXnq5dh4hg+cJjKC+zaWfFRGQhNibb8O0Lci34+q09WPrDURyNyEGF1aFdExEZ1+gGYw8PN6QkFuJvQxZiz9Y0raxufVri7mGL8MW7e1BWarxB+gd4IXxTKh66dgmOHDTeIAGgXacg3HbpXMycchAVFbVvkF36t0DnS1vgi8fD8Xy/lRh78RLE78vRqin9eCGWTDmCjORirZzyEht2rUzBxrmJWjkiguRDeVjwSQyK8qxaWQAQsznTlIMaS6kNcXv07utqZtRjdhZrIh1lZTa8M36LVkaXHi3w7itb8eKja5GRZrwfKaVgq3DihgGzsXqp3kmNXv1C8MTdK/H2C5uQd6a81rdvHuyDm+7vju8m7sfjVyzDdS1+woqZxwzXAwB52WVYOScOezfrHUTY7U5E7szArM+jtE+yZKWVYPEPR3AkQm8fCQCZKcVITdA/qSUi2L9F/0CrZl5DyjEzq6HlmJ1VU6MbjAHgsZcHwmKxw81NaeW0buuP0Y/0Rv6Zcnj7uGtlPftWKLIzS+HtrZfT69IQXH1zJxQVWOHhYey/58bHu+MfM6+CUoDD7kTHfs1rneGwO7H8m6N4vO9SPN53GX548wBOHM4zVE9STB4mjN6Euy9aiPfu2YL1sxIM5VjL7Zg7KRoPd1uCcYNWYs6H0UiLKzCUVS0qLAMfjtqCRR8d0sqxlNrw4agtmPrsHmSnlmhlAcDK+XFY96ux++n/1VVux/svbUN+bu132Geb/90hhIelaOfkZpfho1e3m3K2bsZ/DyJiV4Z2TtKxPEyZsBsOh/6VKDq3rKwS9O4TAqvVbjjDzU3h5X8NRXJCPoKae2vV87cxvdEyxBdWix1KGd+X+Ph64Ol/DMap1GL4B3oayugzuBWmrr8dQS284XQIuvZtYShnx9oUjL16GUZ0mI33ntqK3WGphnJyT5dh0vPbcUO7n/HkiJWY9Z8olBZX1DpHRLB24XE8MGQJbu02F/9+aSdi9uhdNcg4WYxnb/wNU/65C3ab8bPrIoKv39qLD5/chl3rjN1PNSXG5WHyhHBTesiUSXtwJFr/AGLP9jTM+Oqgdo6I4MM3tiMluUA7a9XieKz8JU47x2q1Y8LLW5CbU6ad9TsiUu8fgwcPltoqKrDU+jZ1mWNmllk5m35OlNjw04Zv73Q6JSHqjMydFCUvDFslSTG5hrMKcy2yaX6ifDRmq0x7da/hHIfDKbF7TsvMdyLk+aGrJCe9xHBW5IZTcrffPLnDbbY803u5lBRYDeWUl1TI2zeslzvcZssdbrNl24JkwzWJiNhsDrmx989y75WLtB8Lc6ZGSz+/byRsZaJWTnGhRYa0/l6eHrVSLOU2razPxofLgGbTJHJ3hlZORmqR9PP7RsY/FSZ2u0Mr67Wx62Vo2x8k8ZixxziACGkAvfRCfhjp22ZwOJxSXGTsZ/VshSb12rLSCrFa7do5xyKz5dfvY8XpdBrOOHWySBZ+e1iev+M3WToz1nCOpdwm4etT5OOXtsu4W1eJzWb8Z+xkfL7MnhIlT4xYIdvXnDScc+pEkYzqNk+GeHwvwwOmy/GYM4ZynE6nfPH6bhni8b0M8fheJr+wQ+s+FxF5+fG10r/tt3L8qLGaqh06mCUdvKbI5Ak7tWt64OYlclWvmZKRVqSVE7Y6STp4TZFZ06K0cux2h1x3ySwZOWye5OeVa2XN+SFauvh9KauXxhu6/fl6tpIGcPkwNDRUIiIi6rsMlyQiWmdDanI6RfssvZk5OllRYRmY8VoEOvVrju6hwegxOBjdQ4PhG1C7Mz6WUhs+H7MTZcU2dB8cjJ6hwegxJARtugbWuqZqm1YmITW5EI+8MABeXsavQFgtdkx6ZTueeHUQuvYydgaq2pJZsYAI7n6sL9zdjV9oys8tx5QJu/HCO5ejTXvj9xEAzPhvJDp0aYab/9ZN6zGemlSA2d9E48WJQ9Ei2NdQhlIqUkRCDRfRCLFv142G2LOr5wQz6jJaU8bJYrwzZhOah/igz+AQ9Altjb6hrRB8kV+tckQE307Yj32b0tFncCv0GdwKfQe3QrdLWxrubSnJBZjx1UG8OvEKtAwx1kOqffbuLgy7pj2uubGTVk70gSysX5mIF9+6HAGBXoZzRATvvboNdz/cBwOHtNGqadOaZBw/losnX7oM3t4ehnMqKhyY8I8teOrlQejZJ9hQxvl6NgdjapIspTb4+Bu77FmTtdwOT2930wZ9oPJ5fUafRnN2jru7MmVnZmZNZuSYmWVGDgdjorpVXmqDj5+Hdj+z251wOgRemk97PDvTFfsagP99brkZ+7iGtG87X882PrITNWJmDMUA4O1r/o+QWQ3WrBwzs1y9JiKqG74m9WwPDzfTJx9X7mtmnvRpaGv7I3+arpT6SSmVrZQ6UmNbS6VUmFIqoerPFjX+7m2lVKJSKl4pdUtdFU5EROfGvk1EZMxfGbt/BnDrWdvGA9gsIj0AbK76GkqpvgAeBNCv6jbfKqXMu15BRER/xc9g3yYiqrU/HYxFZAeAs39P12gAs6s+nw3grhrbF4mIVUROAEgEcLk5pRIR0V/Bvk1EZIzRJ2pcJCKZAFD1Z+uq7e0A1HzXjfSqbb+jlBqnlIpQSkXk5JjzpghERPSH2LeJiP6E2c9gPteztM/5ay9E5EcRCRWR0FatWplcBhER/UXs20REVYwOxqeVUm0BoOrP6rdoSQfQocb3tQeg/7ZURESki32biOhPGB2MVwF4rOrzxwCsrLH9QaWUt1KqC4AeAPbrlUhERCZg3yYi+hN/+tv8lFILAVwHIEQplQ7gPQCTASxWSj0JIBXAfQAgIrFKqcUAjgKwA3hBRIy/mTkREdUa+zYRkTF/OhiLyEN/8Fcj/uD7PwbwsU5RRERkHPs2EZExfMsnIiIiIiJwMCYiIiIiAsDBmIiIiIgIQCMcjEXO+es16zWrIdZERNTQ6PY3M3t2Q+z/RFT/Gt1g7HAIpkzYjcy0Yu2ssBVJWPdrgnZjKyu14b/v7ELemXLtmpbOPopdm1K1c4iIGprfVh7Xun1iXB6mfb4fVqtdu5avP9mH48dytXMO7M7A3B9j4HA4tbOIqP41usHYw8MNHboG4dZL5mLl/DitrKtv6YRJr2zDuNGrUFJkNZzjH+AFL2933NJ3DnZsOKlV07W3dsbz96zGW09sRIUJzT/7dKl2BgBYLHYUFFgM395hdyJmexZ+eGM/Fkw+pFVLdloJVn53DO/dsxmFZ4zXVGF14MCGU/jm5T1YPT1eq6b/y9T/PzMzx8wsV65JRExdH/1e7pkyfPDedq0TET36BGP/zlO4edBcJB/PN5yjlMLgYRfjlsFzMe3z/Vo1DbnyYsyffhijr16ErIwSwznV8vMtWoN/eakNW1edwAfPbMWmZUmGc0QECYdzMWNyJCY8sRlOp/H7qKjAivW/JODtsZtwMFz/vWP2b0nH0Qhz3pLcjIMsoPL+MivLrBy73Qm73ZwDtoa2NrOzamp0gzEAjH6kD665pRMGXN5GK8fXzxPj3gjFiDu7IiDIWytr7EsDETr8YvS7rLVWTqs2/nji1UG49rbO8PL+09+m94fKymz48P0dGH3HIq16AGDH9hRcf/Vs7A5PM3T7pJg8vHHTerw2Yh2WfBGL8OUnDeVYy+2Y/UEUnui3HN+8tBd7fktD8qE8Q1mHd2bh5eGr8fbtG7Hy2zjsW2tsbTWVl9kw9qZlOBat37B//DwSX3+wVzvnzOkyPHTdr8hI1b/CMvnNcMz/LkY7J/FoLh69cZnWwWi1d57ZjFUL9A6QAWDv1nQ8d89q03Yi9Ht2uxNvjr8KFRV6vyL5lQnDMOSqdujUrZlWzlXXd8A9j/TF0OHtodS53hX7r1FK4eV/DcU1N3ZCm4sDDOc4nYL5cw9h6KAZyMs1dvVxx9oUPDBkCV69dz2Wz4rDvi3phnJyT5fh3ae24sHLl2Dqu/sR9msSigtq//MqIliz4DjuvewXjH90E9YtSkDkzkxDNVXbvzkdr41ej7fu34iSQv0e8uazYVi24Jh2zu5taXjy7lXaPURE8Mz9q7F1/Qntmlb+Eoc3ntmofVXcarVjzG1LEROZpV3T9K8O4tOJ4do5eWfKcc/1i5F6olA763eqn2tVnx+DBw+W2nI4nLW+TV3mmJllZk0Wi82UHKfTqZ2VeaJIlk+NlRXfHtXKsZTZZO+aVPn65T1SmGsxnON0OiXlWL788p9DsmlBolZNIiI/fx0lV7afLmsWx2vlFBVYZEjr7+X1x9ZLUYHx9YmITH5rp9zQc5aEh6Vo5aSfLJT+QdNk0ivbxFKu9zj45yPr5I7L5knMgSytnJgDWXJp4FT5+oM9Yrc7DOc4nU4Zc/0SeeCaxZIUl2coA0CENIBeeiE/jPRtszS0XutwOMXpNCfLbneIzab3eD4WlSM/fhwhO9ae1KqlILdc1iyIlylv7da6rxwOp8TszZSvJ+yVmL2ZhnP2bEyV4QHTZYjH9zI8cIZEhxvPEhGJjsiU7kFfyX8/3K3VQ0RE7rtxsdx1zUJJOJarlbNhVaL0CZ4qP009qPWYstsdcm2/WTL2zmWSkVakVdPs76JlYLvvZPnCY1o5JcVWGXDxd/Lio2skP69cK+vTieFyRY8ZsmVdsqHbn69nK2kALxwIDQ2ViIiI+i6DyDC73Yl538bg3sf7al992LHhJAKbeeOyYW21cspKbVjyUywefPoSePsYv/oAAOt+TUDXXi3Q69IQrZzc7DJsXJGE+57oBw8PvQtWS2cfxeXXtEOHLnpnDk8cz8eRyGzc8WBPw2cOlVKRIhKqVUgjw75NF1JSbB5mfxqFrv1aos/gVuh1WQiaB/toZS6eHYth17RHR90ekpCP6Igs3PVgb62rDwAw5/sY3HpXd7Ru46+VE30gC7k5ZRgxsqtWjsPhxKxp0bhvbF80a653f+/YlAJvH3cMHd5eK8dSbse86YfwyNP94eNrbN92vp7NwZiISBMHYyKixuN8PbtRPseYiIiIiMhsHIyJiIiIiMDBmIiIiIgIAAdjIiIiIiIAHIyJiIiIiABwMCYiIiIiAsDBmIiIiIgIAAdjIiIiIiIAHIyJiIiIiABwMCYiIiIiAsDBmIiIiIgIAAdjIiIiIiIAHIyJiIiIiAA0wsHYbneiwmo3Jaus1GZKjtVih8PhNCWLiMhVVVQ4tG5vVs8WEdOyiMi1NLrB2N1dYeJzW7D5t2SIiFbW7s2p+Pi1HSgqsOrV5OGGV8esw4Gdp7RyiIhc2bffHNC6fX5uOZ554DecSMjXylFKYcqHe7B4diycTr39CBG5lkY3GCulcMeDvfD8PasxZ2qMVtYNd3TF3i1pGHPdEpQUGR+OPTzccM1tnfHIiKVY92uCVk0igkMxp5FwPFcrBwDy8sqxedMJ7RyHw4l9e08hLbVQO+t0Vgl27kjRzrHZHNixPQW5ueXaWakphdi315yDmtOnSkzJSTiei5joLFOyzKrp9KkS7YNRoPIxblpNGebUZLM5kJtdZkJF9EeSk/Px9Vf7ta6utesYhJYhvrhlyDwkxuVp1fPA4/3wxjMb8eEb27UfQ2b1EIvFjrCNySgv1z+bnZCQh+go/R5SUlKB9esStQ8gRASHD51GfNwZ7Zry8y3YFJasnQMAWSb1ELvdiZzTpSZUBGSZ1GuLi6woKa4woaLKmsyQnVVq2hV2s2o6W6MbjAFg+E0d8ebk4Rj9cG+tHDc3hVcnXYFJ349AQJC3Vtboh3vjtY+uxPW3d9HKiYk+jZnToxAZmamVU1Zmw/w5hzBnlt7BAwDs2Z2OmdMPIj5eb1jPyyvHrJ+isXTJMa0cEcGmsBOY+WMU0tP0hvXMjGL8NCMK69cmauUAQE5WKe4cNB8r5umtLykpHzN+jMKObfoHEMeP5OLWS+di9+ZU7ax3nt2M1x/bqP1Upt2b03D7wHmIO6S3g3Q6Bc/dvRqTXtmu3WhXLYjHXZcvREZqsVYO/bE2bQKwdedY7QHrhTcvx3v/uRbderXQyunRJxgffzMCT708CEopwzlZmSWYNTMa69bonRRxOgW/rTyOmdMPIk/zgD8pKR8zfzyo3UNsNgd+XXwUM6dHwWLR+7k/cjgbM6dHIeJAhlZOWZkN8+cews8zo7VygMr7/Kl7V+HdV7Zq95DlC4/htqHzkZ5SpJVjsdhxzw2/4Kt/79Mejn/+Nhp3XbMIeWf0Hk+5OWW4ZchcLJp1RCsHAL76eC/G3LYUxRonIwEgMS4P1/f/GVvX65/8+x0RqfePwYMHC1Fj98kbO+Tvty2ThNgz9V3K/3plzFr5x0Nr5VRKkVZOzP5MubbrTFnzS7w4nU7DOU6nU8Zcv0QmPrdZcrNLtWrauDxRbuk3R3ZsOKmVY7M5ZGT/ufLZ+HApLrIaygAQIQ2gl17ID/ZtauzWr0iQ6y6ZJVvXn9DKsdkccsOAn+Wj8dulqNCilTVrWpSMHDZPIvac0sopLrLKsO7T5ZvJ+6S83KaV9ck7O+WBm5dI3JEcrZyMtCIZ1PF7mf1dtNhsDq2slx9fK+PuXyUpyQWGbn++nq3EhNP1ukJDQyUiIqK+yyAyzG53Yt+2dFw5ooPW2SczlZXaEHswG0OubqeddWDnKfQb1Bp+/p5aObnZZcg6VYJ+l7XWrmnPljQMHn4xvLzctXJSkwrgcAi69DR+BlIpFSkioVqFNDLs29TYhW9JxeXD22n3kJTkAthtTnTr1VK7pu0bT+LqGzvBzU1vPxIfewZBzbzRtn2gVo7D4cSurWm4ekRH7X1bTEQWOnZphhbBvlo5lnI7ovZn4oprOxjOOF/P5mBMRKSJgzERUeNxvp7dKJ9jTERERERkNg7GRERERETgYExEREREBICDMRERERERAA7GREREREQAOBgTEREREQHgYExEREREBICDMRERERERAA7GREREREQAOBgTEREREQHgYExEREREBICDMRERERERAA7GREREREQAGuFgbLc7kZpUYErWieP5cDrFlCwiIjq/3NxyrdtnphejtKTCpGqIiH6v0Q3GHh5umPbxfnw2PhwlRVatrOJCK+4fvhjR+zJNqo6IiM7F6RRMen+7VkZgM2/cfd0vWLEoDiI8qUFE5mt0gzEAPPXaYPz0xUEs+SlWK6f/kDZoHuyDfz29SWvIttkc2L7tJN6fuA12u1OrptSUQvzwXSS2bD6hlWOx2LFhfRI++ThcKwcAEo7n4usv9iEyQu8AoqSkAqtWxGPqV/u1ckQEh2JO49NPdiEpKV8rKz/fgsWLYvHzT9FaOU6nYP++U/jw/R3aZ8WyT5dizs8xWLrkmFYOUHlfbV9/0pQrI1F7M1GQZ9HOsdkcCA9L0c4BgMjdGSjM16+pqMCKyN0ZJlREfyQ+7gx2bE+F1Wo3nBEQ6IU77u2J15/eiKR44z/7IoLDh07js8m7kJiYZzgHaLg9ZO7sGPy6+KhWjt3uxM4dKXh/4jat/zcASEstxI/fRyJsY7JWjtVqR9jGZHw8aadWDgAkJubhmy/3Yd/eU1o5paUVWL3qOL6ask+7piOHs/H5p7uRcDxXK6egwIIlvxzFzOlRWjkiggP7MzDpgx3IyS7VysrJLsW8OYeweJHe7Ga3OxG+MxXvT9wGi0XvcXkujXIw7tEvGPO33ouxLw3Uznr946uwaMf9CAjyNpzh4eGGoCAfBGlkVPP390RgkBe8vNy1cjw93dAsyBuBAV7aNQUEeCEwyBuennoPFy8vdwQGecPP31MrRymFwCBvBAV5w91daWX5+FTW5OurWxMQFOSNoEAv/Zp8PRAU5A1fXw+tHAAID0vFuFGrsGpBnFaO0ymY+OxmjBu1ElbNRrRiXhyevH0l9mxN08qxlNvx8gNr8dYTYXA49A5I50yNxqMjliIhVm9nRH+sT99WOHhoHLy99R7Xjz8/EKt2PYTuvVsazqjuIYGB3vDw0Otr1T3ER/PnVSmgWbPKHuLmpt9DAgP1e4i7u0JQkDcCg7yhlF5Nfv5eCGrmDW9vvX2bh4cbggK9zNm3+Vfu23T3t5X7Ni/4B+jtRwAgMMgLgYFecNd8XHp7uyOomf7+Fqh+XHqb9Lj0Mu1xGRTkDc2H5TmphnA5KjQ0VCIiIuq7DCKXIiJ45q7fMPymjnjomUvh6Wm8+W9YlogV845h/GdXo1P35oZzbDYHxt60DA88eQlGPdxbq9HOmRqN2IPZeO3jq9C6rb/hnOJCKx6/dTme/9fluOGOLoYGAKVUpIiEGi6iEWLfJqLG6nw9m4MxkYsqK7XBUmZDy1Z+2lmnUorQrlOQdk5BngUenm4ICNQ/22NWTTlZpQhq7g1vH+NnMTgYExE1Hufr2frXaomoQfLz9zTlMhoAUwZQAGje0seUHMC8mlq1MX62mYiIXEujfI4xEREREZHZOBgTEREREaEOB2Ol1K1KqXilVKJSanxd/TtERKSPPZuIqI4GY6WUO4BpAG4D0BfAQ0qpvnXxbxERkR72bCKiSnV1xvhyAIkikiwiFQAWARhdR/8WERHpYc8mIkLdDcbtANT87f3pVduIiKjhYc8mIkLdDcbn+g35/+8XJiulximlIpRSETk5OXVUBhER/QV/2rMB9m0icn11NRinA+hQ4+v2ADJqfoOI/CgioSIS2qpVqzoqg4iI/oI/7dkA+zYRub66GowPAOihlOqilPIC8CCAVXX0bxERkR72bCIi1NE734mIXSn1IoANANwB/CQisXXxbxERkR72bCKiSnX2ltAishbA2rrKJyIi87BnExEBSuR3r6+48EUolQMg5azNIQDO1EM5F1pTWGdTWCPAdbqS2q6xk4g0qSfdnqNvN4XHBdA01tkU1ghwna7EtJ7dIAbjc1FKRYhIaH3XUdeawjqbwhoBrtOVNIU1mq2p3GdNYZ1NYY0A1+lKzFxjnb0lNBERERFRY8LBmIiIiIgIDXsw/rG+C7hAmsI6m8IaAa7TlTSFNZqtqdxnTWGdTWGNANfpSkxbY4N9jjERERER0YXUkM8YExERERFdMA1uMFZK3aqUildKJSqlxtd3PTqUUj8ppbKVUkdqbGuplApTSiVU/dmixt+9XbXueKXULfVTde0opToopbYqpY4ppWKVUv+o2u5q6/RRSu1XSsVUrfODqu0utU4AUEq5K6WilFKrq752xTWeVEodVkpFK6Uiqra53DovFFfp202hZwNNo283pZ4NsG+buk4RaTAfqHzHpSQAXQF4AYgB0Le+69JYzzUABgE4UmPbZwDGV30+HsCnVZ/3rVqvN4AuVfeDe32v4S+ssS2AQVWfBwI4XrUWV1unAhBQ9bkngH0AhrnaOqtq/yeABQBWV33tims8CSDkrG0ut84LdF+6TN9uCj27qnaX79tNqWdX1c++bdI6G9oZ48sBJIpIsohUAFgEYHQ912SYiOwAkHfW5tEAZld9PhvAXTW2LxIRq4icAJCIyvujQRORTBE5WPV5MYBjANrB9dYpIlJS9aVn1YfAxdaplGoP4HYAM2psdqk1nkdTWafZXKZvN4WeDTSNvt1UejbAvg2T19nQBuN2ANJqfJ1etc2VXCQimUBlcwLQump7o1+7UqozgMtQeWTucuusulQVDSAbQJiIuOI6vwTwJgBnjW2utkagcge5USkVqZQaV7XNFdd5Ibj6/ePSjwtX7ttNpGcD7NumrtPDpGLNos6xran82oxGvXalVACApQBeEZEipc61nMpvPce2RrFOEXEAGKiUag5guVLqkvN8e6Nbp1LqDgDZIhKplLrur9zkHNsa9BpruEpEMpRSrQGEKaXizvO9jXmdF0JTvX8a/bpdvW+7es8G2LfP872G19nQzhinA+hQ4+v2ADLqqZa6clop1RYAqv7MrtreaNeulPJEZXOdLyLLqja73DqriUgBgG0AboVrrfMqAKOUUidReTn8BqXUPLjWGgEAIpJR9Wc2gOWovMTmcuu8QFz9/nHJx0VT6tsu3LMB9m3T19nQBuMDAHoopboopbwAPAhgVT3XZLZVAB6r+vwxACtrbH9QKeWtlOoCoAeA/fVQX62oylMMMwEcE5EpNf7K1dbZquqsA5RSvgBuBBAHF1qniLwtIu1FpDMqf/a2iMgjcKE1AoBSyl8pFVj9OYCbARyBi63zAnL1vu1yj4um0LebQs8G2LdRF+us61cR1vYDwEhUvkI2CcA79V2P5loWAsgEYEPl0cuTAIIBbAaQUPVnyxrf/07VuuMB3Fbf9f/FNQ5H5eWJQwCiqz5GuuA6+wOIqlrnEQDvVm13qXXWqP06/N+rm11qjaj87QkxVR+x1X3G1dZ5ge9Tl+jbTaFnV9Xt8n27qfXsqvrZt01YJ9/5joiIiIgIDe+pFERERERE9YKDMREREREROBgTEREREQHgYExEREREBICDMRERERERAA7GREREREQAOBgTEREREQHgYExEREREBAD4H1nBBIFosc+UAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs_asym, ys_asym, dxs_asym, dys_asym = vel_field_asymmetric_wins(\n", " a, b, half_int_win_size, half_search_win_size\n", ")\n", "norm_drs_asym = np.sqrt(dxs_asym ** 2 + dys_asym ** 2)\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=(12, 6))\n", "axs[0].quiver(\n", " xs,\n", " ys[::-1],\n", " dxs,\n", " -dys,\n", " norm_drs,\n", " cmap=plt.cm.plasma,\n", " angles=\"xy\",\n", " scale_units=\"xy\",\n", " scale=0.25,\n", ")\n", "axs[1].quiver(\n", " xs_asym,\n", " ys_asym[::-1],\n", " dxs_asym,\n", " -dys_asym,\n", " norm_drs_asym,\n", " cmap=plt.cm.plasma,\n", " angles=\"xy\",\n", " scale_units=\"xy\",\n", " scale=0.25,\n", ")\n", "axs[0].set_title(\n", " f\"{win_size} x {win_size} int. win. + \"\n", " f\"{win_size} x {win_size} 0-padded search win.\"\n", ")\n", "axs[1].set_title(\n", " f\"{int_win_size[0]} x {int_win_size[1]} int. win. + \"\n", " f\"{search_win_size[0]} x {search_win_size[0]} unpadded search win.\"\n", ")\n", "ax.set_aspect(\"equal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you can take our online Jupyter notebook and process any pairs of images yourself, on the cloud, http://github.com/openpiv/openpiv-python-example. Or download the OpenPIV and try it yourself: https://github.com/OpenPIV" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" }, "metadata": { "interpreter": { "hash": "41f5f0438dc4e3a82bed3f79924308eb45f1e47bd23729f3ef4bcb36970735b2" } }, "name": "" }, "nbformat": 4, "nbformat_minor": 4 }