{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# CCD calibration\n", "\n", "This tutorial presents how to calibrate the distortion from a CCD camera coupled with a taper of optic fibers.\n", "If your camera is already calibrated using Fit2D and you have access to the corresponding *spline* file, this tutorial is not for you: simply create your detector object like this ``pyFAI.detectors.Detector(splineFile=\"example.spline\")`` and you are done. This tutorial uses the image of a regular grid on the detector. \n", "\n", "It uses a procedure described in: \"Calibration and correction of spatial distortions in 2D detector systems\" from \n", "Hammersley, A. P.; Svensson, S. O.; Thompson, A. published in \n", "Nuclear Instruments and Methods in Physics Research Section A, Volume 346, Issue 1-2, p. 312-321.\n", "DOI:10.1016/0168-9002(94)90720-X\n", "\n", "The procedure is performed in 4 steps:\n", "1. peak picking\n", "2. grid assignment\n", "3. distortion fitting\n", "4. interpolation of the fitted data\n", "5. saving into a detector definition file\n", "\n", "The picture used is the one of a regular metallic grid of holes (spaced by 5mm), just in front of the detector. We will assume holes are circular what looks correct in first approximation. Parallax error will be ignored in a first time.\n", "\n", "The images used for this test can be downloaded from:\n", "http://www.silx.org/pub/pyFAI/detector_calibration/frelonID22_grid.edf\n", "\n", "## Peak picking\n", "\n", "\n", "Lets start with peak picking, for this, we will use the *FabIO* library able to read the image and *matplotlib* to display the image. The distortion is assumed to be minimal in the middle of the detector, so we first focus on one spot in the middle:\n", "\n", "First we initialize the matplotlib library to be used in the *Jupyter notebook* interface." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Working with pyFAI version: 2023.1.0-dev0\n" ] } ], "source": [ "# %matplotlib widget\n", "#For documentation purpose, `inline` is used to enforce the storage of the image in the notebook\n", "%matplotlib inline\n", "import time\n", "import numpy\n", "from matplotlib.pyplot import subplots\n", "\n", "start_time = time.perf_counter()\n", "import pyFAI\n", "print(f\"Working with pyFAI version: {pyFAI.version}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/tmp/pyFAI_testdata_kieffer/frelonID22_grid.edf\n" ] } ], "source": [ "import os\n", "from silx.resources import ExternalResources\n", "downloader = ExternalResources(\"pyFAI\", \"http://www.silx.org/pub/pyFAI/detector_calibration\", \"PYFAI_DATA\")\n", "fname = downloader.getfile(\"frelonID22_grid.edf\")\n", "print(fname)\n", "\n", "#To test the corrections are good, once you have finished this tutorial:\n", "#fname = \"corrected.edf\"\n", "\n", "import fabio\n", "img = fabio.open(fname).data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Display the image, and zoom on one spot\n", "fig,ax = subplots(1, 2, figsize=(10,5))\n", "ax[0].imshow(img, interpolation=\"nearest\", origin=\"lower\")\n", "#Zoom into a spot in the middle of the image, where the distortion is expected to be minimal\n", "ax[1].imshow(img[1060:1100,1040:1080], interpolation=\"nearest\", origin=\"lower\")\n", "ax[1].set_title(\"Zoom one point in the center\")\n", "pass" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Look at the profile of the peak to measure the width (it is expected to be a crenel)\n", "fig,ax = subplots()\n", "ax.plot(img[1060+25,1040:1060])\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at one spot, in the center of the image: it is circular and is slightly larger than 10 pixels.\n", "We will define a convolution kernel of size 11x11 of circular shape with sharp borders as this is what a perfect spot is expected to look like. The kernel is normalized in such a way it does not modify the average intensity of the image\n", "\n", "Now convolve the image with this circular kernel using scipy.signal (in direct space: the kernel is small and performance does not really matter here). \n", "\n", "It is important to have an odd size for the kernel for convolution as an even shape would induce an offset of 1/2 pixel in the located peak-position." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "size = 11 #Odd of course\n", "center = (size-1)//2\n", "y, x = numpy.ogrid[-center:center+1,-center:center+1]\n", "r2 = x*x + y*y\n", "kernel = (r2<=(center+0.5)**2).astype(float)\n", "kernel /= kernel.sum()\n", "\n", "fig,ax = subplots()\n", "ax.imshow(kernel, interpolation=\"nearest\", origin=\"lower\")\n", "pass" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from scipy import ndimage, signal" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "cnv = signal.convolve2d(img, kernel, mode=\"same\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2048, 2048) (2048, 2048)\n" ] } ], "source": [ "#Check that size is unchanged.\n", "print(img.shape, cnv.shape) " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Check the image still looks the same. it is just supposed to be smoother.\n", "\n", "fig,ax = subplots(1,2, figsize=(10,5))\n", "ax[0].imshow(cnv, interpolation=\"nearest\", origin=\"lower\")\n", "#Zoom into a spot in the middle of the image, where the distortion is expected to be minimal\n", "ax[1].imshow(cnv[1060:1100,1040:1080], interpolation=\"nearest\", origin=\"lower\")\n", "ax[1].set_title(\"Zoom one point in the center\")\n", "pass" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Zoom into the very same spot to ensure it is smoother\n", "fig,ax = subplots()\n", "ax.imshow(cnv[1060:1100,1040:1080], interpolation=\"nearest\", origin=\"lower\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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HRaReRLb3acsUkdUistu5Heu0i4j8RESqRGSriMzp85wVzvq7RWRFn/bzRWSb85yfiEj8/mlmXLG2oh6PwOVTs92O4qrs1CRmF2awxoaYxqXT2TN4DFjer+0+4HVVnQq87jwGuAqY6vzcBTwEweIBPABcCMwDHugtIM46X+rzvP7vZcywWlvZwPkTxzJmdKLbUVy3sDSXzQeDe0omvpyyGKjqW0BTv+brgced+48DN/Rpf0KD3gXGiEg+sAxYrapNqnoUWA0sd5alq+q7GpwY5Yk+r2XMsKs/3sG26mNxO6S0v4UluajCW7vsGgfxJtRjBnmqWuPcrwXynPsFwME+6x1y2k7WfmiA9gGJyF0iUiYiZQ0N9mE1Q/eGc2GXeJuCYjBnF2SQlZJoZyPHoSEfQHb+oh+RsWiq+rCqzlXVuTk58TVlgBkeayvqyc9IZnp+mttRIoLHI1xRksObuxrw2xDTuBJqMahzunhwbnv/jKgGxvdZr9BpO1l74QDtxgy7rp4Af9x9hAUludi4hY8sLMmlua2bzQePuh3FjKBQi8FKoHdE0ArghT7tdzijiuYDx5zupNeApSIy1jlwvBR4zVnWIiLznVFEd/R5LWOGVdm+Jk509rAozoeU9nf51By8HmFthXXFxpPTGVr6a2AdUCIih0TkTuB7wBIR2Q1c6TwGeBnYC1QB/wN8GUBVm4BvA+87P99y2nDW+YXznD3AK+H51Yw5uTUV9SR6PVw8OcvtKBElY3QC508Ya8cN4ozvVCuo6mcGWbR4gHUVuHuQ13kUeHSA9jJg1qlyGBNuayrruXBSJilJp/waxJ0FpTn84NVK6lo6yEtPdjuOGQF2BrKJS/sbW9nb0GpdRIPoHV31hu0dxA0rBiYu9c7OacVgYKXj0sjPSLZZTOOIFQMTl9ZU1DMpJ4WJWSluR4lIIsKCklzermqkqyfgdhwzAqwYmLjT2tnD+r1NLLITzU5qUWkuJzp7KNvXfwICE4usGJi483bVEbr8AesiOoWLJ2eR6PXYqKI4YcXAxJ21lfWkJvmYW5TpdpSIlpLk48JJmXbcIE5YMTBxRVVZW9HAZVOzSfTZx/9UFpbksqehlQONbW5HMcPMvg0mrpTXtFDb0hG31zo+U73bybqKYp8VAxNXeq/itaDEJjo8HcXZKRRnp1gxiANWDExcWVNRzzmFGeSm2Vm1p2tBSQ7r9jTS3uV3O4oZRlYMTNxoau1i08Fmu3bBGVpUmktnT4B1e4+4HcUMIysGJm68uaseVTvr+EzNK85kdKLXZjGNcVYMTNxYU9FAdmoSZxdkuB0lqiT5vFwyJZs1FfUE56I0sciKgYkLPf4Ab1bWs6AkB4/HLmRzphaW5FLd3E5V/Qm3o5hhYsXAxIWNB5pp6bAL2YRqYWlw9JWdgBa7rBiYuLCmoh6fR7h0arbbUaJSfsYoSsel2RDTGGbFwMSFtRX1XFCUSXpygttRotbC0lzK9h2lpaPb7ShmGFgxMDGvurmdyrrj1kU0RItKc+kJKH/abUNMY5EVAxPzevu5bQqKoTlv/BgyRiV8eBa3iS1WDEzMW1tRz4TM0UzOsQvZDIXP6+HyaTmsrWwgELAhprHGioGJae1dft7Zc4SFJTmI2JDSoVpYksORE53sONzidhQTZkMqBiLydyKyQ0S2i8ivRSRZRIpFZL2IVInI0yKS6Kyb5DyucpYX9Xmd+532ShFZNsTfyZgP/XF3Ax3dAZbMGOd2lJhwxbQcRGyIaSwKuRiISAHwFWCuqs4CvMBtwPeBB1V1CnAUuNN5yp3AUaf9QWc9RGSG87yZwHLgZyLiDTWXMX2tKq8jLTl4kRYzdFmpScwuHGNDTGPQULuJfMAoEfEBo4EaYBHwrLP8ceAG5/71zmOc5YsluN9+PfCUqnaq6gdAFTBviLmMoccf4PWddSwuzSXBaz2i4bKoNJcth5ppPNHpdhQTRiF/Q1S1GvgP4ADBInAM2AA0q2qPs9ohoMC5XwAcdJ7b46yf1bd9gOcYE7Ky/Uc52tbN0pnWRRROC0tyUYU3d9nEdbFkKN1EYwn+VV8MnAWkEOzmGTYicpeIlIlIWUODfRDNya0uryPRFxwBY8Jn5lnp5KQlsbbSvoOxZCj7zlcCH6hqg6p2A88BlwBjnG4jgEKg2rlfDYwHcJZnAI192wd4zseo6sOqOldV5+bk2BfcDE5VWVVeyyWTs0hN8p36Cea0eTzCgmk5vFlZT48/4HYcEyZDKQYHgPkiMtrp+18MlANrgVucdVYALzj3VzqPcZav0eB8uCuB25zRRsXAVOC9IeQyhora4xxsarcuomGysDSXlo4eNh5odjuKCZOhHDNYT/BA8EZgm/NaDwNfBe4RkSqCxwQecZ7yCJDltN8D3Oe8zg7gGYKF5FXgblW16+uZIVm1ow4RWDzdzjoeDpdNzSbBK/xhZ53bUUyYDGn/WVUfAB7o17yXAUYDqWoH8OlBXuc7wHeGksWYvlbvrGXOhLF2reNhkpacwMWTs3ltRy33X1VqJ/TFABtvZ2JOdXM726tbWDIjz+0oMW35rHHsb2yjova421FMGFgxMDFn9Y5aAJZaMRhWV07PQwRec7a3iW5WDEzMWVVex5TcVCblpLodJablpCUxd+JYXtthxw1igRUDE1OOtXWz/oMm2ysYIctmjmNnTQsHGtvcjmKGyIqBiSlrKuvwB9SGlI6QZc52tq6i6GfFwMSUVTvqyE1L4pyCDLejxIXxmaOZkZ9uxSAGWDEwMaOj28+buxpYMiMPj8eGOo6U5bPGseHAUeqPd7gdxQyBFQMTM96uOkJbl9+6iEbYspnjUA3OBWWilxUDEzNWl9eRluTjoklZbkeJK9PyUinKGm2jiqKcFQMTE/wB5Q8767iiJIdEn32sR5KIsGzmONbtOcKx9m6345gQ2bfGxIRNB45y5ESXdRG5ZNmscXT7lbV2OcyoZcXAxIRV5XUkeIUFJTa1uRvOLRxDblqSjSqKYlYMTNRTVVbtqOWiydmkJye4HScueTzC0pl5vFHZQEe3TTocjawYmKhXVX+CfY1tNjGdy5bPzKe9289bdjnMqGTFwES9Vc6QxiXTrRi46cJJmWSMSrBRRVHKioGJeq9ur2V2YQbjMuzaBW5K8HpYXJrL6xV1djnMKGTFwES1D460sq36GNeec5bbUQzBUUXNbd2890GT21HMGbJiYKLays2HEYFrZ+e7HcUAl0/NITnBw6s2qijqWDEwUUtVWbmlmguKMsnPGOV2HAOMSvRyxbQcVu2oIxBQt+OYM2DFwESt8poW9jS0ct1s6yKKJMtnjaO2pYOt1cfcjmLOgBUDE7VWbjmMzyNcfbZ1EUWSRSV5+DzCq9utqyiaWDEwUSkQUH6/pYZLp2aTmZLodhzTR8boBC6anMWqHbWoWldRtBhSMRCRMSLyrIhUiMhOEblIRDJFZLWI7HZuxzrrioj8RESqRGSriMzp8zornPV3i8iKof5SJvZtPHCU6uZ26yKKUMtmjmPvkVZ21Z1wO4o5TUPdM/gx8KqqlgKzgZ3AfcDrqjoVeN15DHAVMNX5uQt4CEBEMoEHgAuBecADvQXEmMGs3HKYJJ/HJqaLUFfNGofPIzy/qdrtKOY0hVwMRCQDuBx4BEBVu1S1GbgeeNxZ7XHgBuf+9cATGvQuMEZE8oFlwGpVbVLVo8BqYHmouUzs6/EHeHlbDVdOzyM1yed2HDOArNQkrpiWw+82VeO3UUVRYSh7BsVAA/C/IrJJRH4hIilAnqrWOOvUAr1zBBQAB/s8/5DTNlj7J4jIXSJSJiJlDQ02/0m8emdPI0dOdPEp6yKKaDfOKaC2pYN39za6HcWchqEUAx8wB3hIVc8DWvmoSwgADR49CtufBar6sKrOVdW5OTk2VXG8WrnlMGlJPpuuOsJdOT2PtCQfz220rqJoMJRicAg4pKrrncfPEiwOdU73D85t79UuqoHxfZ5f6LQN1m7MJ3R0+3ltey3LZo0jOcHrdhxzEskJXq4+O59Xt9fQ3mXTWke6kIuBqtYCB0WkxGlaDJQDK4HeEUErgBec+yuBO5xRRfOBY0530mvAUhEZ6xw4Xuq0GfMJb1TWc7yzx0YRRYkb5xTQ2uVnVbmdcxDphnr07W+AX4pIIrAX+AuCBeYZEbkT2A/c6qz7MnA1UAW0Oeuiqk0i8m3gfWe9b6mqzXJlBrRyy2GyUxO5eLJd9D4azCvKpGDMKH67sZrrzx3wUKCJEEMqBqq6GZg7wKLFA6yrwN2DvM6jwKNDyWJi3/GObl7fWc+fXTAen9fOl4wGHo9w43kF/OyNKupbOshNt2nGI5V9o0zUWF1eR2dPwLqIosyNcwoIaHCvzkQuKwYmaqzccpiCMaOYM8HOSYwmk3NSmV2YYaOKIpwVAxMVmlq7+NPuI1w7Ox+PR9yOY87QjecVUF7TQkVti9tRzCCsGJio8PK2GnoCal1EUepTs88KTk9hewcRy4qBiQortxxmck4KM/LT3Y5iQpCVmsSCkhx+t9mmp4hUVgxMxKs51s77+5q4bnYBItZFFK1uPK+QupZO1u2x6SkikRUDE/Fe3HIYVbjuXOsiimaLp+eSluzjuY2H3I5iBmDFwES0QEB56r2DzJkwhuLsFLfjmCFITvByzdn5vLqjlrauHrfjmH6sGJiI9qeqI+w90sodFxW5HcWEwY3nFdDW5ee1HTY9RaSxYmAi2hPr9pGdmshVZ9tFbGLBBc70FHbOQeSxYmAi1sGmNl6vqOcz8yaQ5LMZSmNB7/QUb1cdoa6lw+04pg8rBiZiPfnufjwi/PmFE9yOYsKod3qKFzbb3kEksWJgIlJHt5+nyw6ybGYe+Rmj3I5jwmhyTiqzx4/huY3VBOevNJHAioGJSCu3HKa5rZvb5xe5HcUMg0+fX0hF7XHK9h91O4pxWDEwEUdVefydfUzLS2X+pEy345hhcNOcAjJGJfDIHz9wO4pxWDEwEWfjgWZ2HG7hjouK7IzjGDU60cdnL5zAa+W17G9sdTuOwYqBiUBPrNtHWpKPG8+zK2PFshUXF+HzCP/79j63oxisGJgIU3+8g5e31XDL3EJSkoZ6VVYTyfLSk/nUOWfxTNlBjrV3ux0n7lkxMBHlqfcO0u1Xbp8/0e0oZgR84dJi2rr8PP3+AbejxD0rBiZidPsD/Gr9AS6bms2knFS345gRMKsgg/mTMnns7X10+wNux4lrVgxMxFhdXkdtSwcrbB6iuPLFSydx+FgHr2y3+YrcNORiICJeEdkkIr93HheLyHoRqRKRp0Uk0WlPch5XOcuL+rzG/U57pYgsG2omE50ef2cfhWNHsbA01+0oZgQtKs2lODuFR/64105Cc1E49gz+FtjZ5/H3gQdVdQpwFLjTab8TOOq0P+ish4jMAG4DZgLLgZ+JiE1EE2cqaltY/0ETt8+fiNeucRxXPB7hC5cWs+XQMTbYSWiuGVIxEJFC4BrgF85jARYBzzqrPA7c4Ny/3nmMs3yxs/71wFOq2qmqHwBVwLyh5DLR54l1+0nyebh17ni3oxgX3DyngDGjE/iFnYTmmqHuGfwncC/Qe+QnC2hW1d4rVxwCegeLFwAHAZzlx5z1P2wf4DkfIyJ3iUiZiJQ1NDQMMbqJFMfau3l+YzXXzT6LsSmJbscxLhid6OPP59lJaG4KuRiIyLVAvapuCGOek1LVh1V1rqrOzcnJGam3NcPsyXf3097tZ8XFRW5HMS6yk9DcNZQ9g0uA60RkH/AUwe6hHwNjRKT3bKFCoHee2mpgPICzPANo7Ns+wHNMjDtyopOH3tjDkhl5zCrIcDuOcVHvSWi/sZPQXBFyMVDV+1W1UFWLCB4AXqOqnwXWArc4q60AXnDur3Qe4yxfo8GhAyuB25zRRsXAVOC9UHOZ6PLjP+ymvdvPfVeVuh3FRIAvXFpMq52E5orhOM/gq8A9IlJF8JjAI077I0CW034PcB+Aqu4AngHKgVeBu1XVPwy5TITZ03CCX713gD+fN4HJdpKZIXgS2kWTsuwkNBeEpRio6huqeq1zf6+qzlPVKar6aVXtdNo7nMdTnOV7+zz/O6o6WVVLVPWVcGQyke97r1QwKsHL31451e0oJoLceWmxnYTmAjsD2bhi/d5GVpfX8VcLJpOdmuR2HBNBFpXmMik7hZ+traLH9g5GjBUDM+ICAeW7L+9kXHoyX7ik2O04JsJ4PMK9y0uoqD3Oo2/beQcjxYqBGXG/31bDlkPH+IdlJYxKtJPNzSctmzmOJTPy+NHqXRxsanM7TlywYmBGVGePnx+8WsH0/HS7eI0ZlIjwretn4hXh67/bbnMWjQArBmZEPfHOfg4dbefrV0+3OYjMSeVnjOLe5aW8tauBlVsOux0n5lkxMCOmua2L/1qzmyum5XDp1Gy345go8Ln5Ezl3/Bi+9WI5R1u73I4T06wYmBHzX2uqONHZw9eunu52FBMlvB7h3246m2Pt3Xz35Z2nfoIJmRUDMyL2N7byxLp9fPr88ZSMS3M7joki0/PTuevySfxmwyHeqTridpyYZcXAjIgfvFaJz+PhnqXT3I5iotBXFk9lYtZovvb8Njq6bYKC4WDFwAy7X67fz0tba/jS5ZPIS092O46JQskJXr5749nsa2zjp2uq3I4Tk6wYmGGjqvzk9d18/fntLCrN5csLJrsdyUSxS6Zkc/OcQn7+5h4qa4+7HSfmWDEwwyIQUL75Yjk/Wr2Lm+YU8N+3n09ygp1gZobm69dMJ31UAvc9t5VAwM49CCcrBibsuv0B7nlmM4+9s48vXlrMf9wymwSvfdTM0GWmJPLP105n04Fm/n1Vpc1dFEb2DTVh1dbVw5eeKON3mw9z7/ISvn7NdDx2cpkJoxvOLeCm8wp46I093Pzzdeyusy6jcLBiYMKmua2Lz/1iPW/tauB7N53NlxdMQcQKgQkvEeGHt87mvz5zHgcaW7nmJ3/iZ2/YDKdDZcXAhEXtsQ5u/e91bK9u4WefncNt8ya4HcnEMBHhU7PPYvU9V3DljFx+8GolNz30jh1YHgKJ1gmg5s6dq2VlZW7HiGuBgLLxwFF+v7WGF7ccprMnwMN3nM/Fk22qCTOyXtpawz+/sJ0THT18ZfEU/vKKyXacahAiskFV5/Zv9w20sjGDUVU2HWzmpa01vLythppjHST6PCwsyeEri6cy8yy7qL0Zedeck8/8SZn8y8od/MeqXby6o5bPX1zMRZOzKBgzyu14UcH2DMxJ+QPK4eZ29jW28tauBl7eVkt1czuJXg+XT8vh2nPyWTw9l7TkBLejGgPAK9tq+MaLO6hr6QRgYtZoLp6cxUWTs7loUhY5afF9Zb3B9gysGMQxf0A50dFDS0c3x9q7aTjeyf7GVvY1trG/sZX9TW0cbGqj2x/8jCR4hcum5nDN2fksmZlHuhUAE6ECAaWy7jjv7Glk3Z5G1u9t5HhnDwBTc1OZV5xJ4djR5KYlkZeeTG56ErlpSWSMSoj5QQ9WDBxdPQF6AgF6Aorfr8HbgNITCDi3ysc3yce3T//N1X/rqUJAlYDqh/c/aut9hiACAnik937wVhW6nSzdfieTk7PHH6Dbue3xK13+QPB+QOn2B9fv7PHT2R2gs8e53xOgozt4297lp6Wjh5b2blo6ujnR2fOJ3wcgJdHLhKwUirJGM9G5nZA1mpn5GWSMtgJgok+PP8COwy2s29vIO3sa2bT/6IfFoa9En4ec1CRynMKQPiqBjFE+0pN77yeQnpxASpKXJJ+XRJ+HJJ+H5AQPiV4vSQkeEr0efF7B6xE8Erz1ikTMEGsrBo4rf/QmVfUnhiFRZPBIcB6X5AQvSR9+UJ37CV7nQx38cPd+2NOTfaSPSiArJZGJWSlkpybG/F9HxrR29lB/vJP6lg7qnNuG453UH+/kyIlOWtqDe8wtHT0ca+/GH4YznnsLg9cj+DziFA0PCU7xSPB6TuuiTy995VKSfKGd0R/2A8giMh54Asgj+Ofuw6r6YxHJBJ4GioB9wK2qelSC/7v8GLgaaAM+r6obnddaAfyT89L/qqqPh5rrVL54aTHH2rs//Mfwej3B297HHvnEf4T9/2n6/z8p/dbweoJD3zwSXOLp8xiCB2F7dxIUJRAIbsCAavCD4hUSPB7nw/HxD0mCV/B5PCT4PCR4BJ/zV0ii83v4bASFMaclJclHcZKP4uyUU66rqrR1+Z3i0E1rZw+dPQG6egIfu+3dM/cHFL8Gex0Czv3Ah23B73rvnn+3X/EHAh/1AAQCn/g/pb9TLQ9FyHsGIpIP5KvqRhFJAzYANwCfB5pU9Xsich8wVlW/KiJXA39DsBhcCPxYVS90ikcZMJfg/4kbgPNV9ejJ3t+OGRhjzJkbbM8g5D8jVbWm9y97VT0O7AQKgOuB3r/sHydYIHDan9Cgd4ExTkFZBqxW1SanAKwGloeayxhjzJkLS5+CiBQB5wHrgTxVrXEW1RLsRoJgoTjY52mHnLbB2gd6n7tEpExEyhoaGsIR3RhjDGEoBiKSCvwW+D+q2tJ3mQb7oMJ2hFpVH1bVuao6NycnJ1wva4wxcW9IxUBEEggWgl+q6nNOc53T/dN7XKHeaa8Gxvd5eqHTNli7McaYERJyMXBGBz0C7FTVH/VZtBJY4dxfAbzQp/0OCZoPHHO6k14DlorIWBEZCyx12owxxoyQocxNdAlwO7BNRDY7bV8Dvgc8IyJ3AvuBW51lLxMcSVRFcGjpXwCoapOIfBt431nvW6raNIRcxhhjzlDcnXRmjDHxLOxDS40xxsSOqN0zEJEGgt1QocgGjoQxTjhZttBYttBYttBEc7aJqvqJ4ZhRWwyGQkTKBtpNigSWLTSWLTSWLTSxmM26iYwxxlgxMMYYE7/F4GG3A5yEZQuNZQuNZQtNzGWLy2MGxhhjPi5e9wyMMcb0YcXAGGNMfBUDEVkuIpUiUuVceCeiiMg+EdkmIptFxNXTq0XkURGpF5HtfdoyRWS1iOx2bsdGULZviEi1s+02OxdTGulc40VkrYiUi8gOEflbp9317XaSbK5vNydHsoi8JyJbnHzfdNqLRWS98519WkQSIyTXYyLyQZ/tdu5I5uqX0Ssim0Tk987j0LaZqsbFD+AF9gCTgERgCzDD7Vz9Mu4Dst3O4WS5HJgDbO/T9gPgPuf+fcD3IyjbN4B/cHmb5QNznPtpwC5gRiRst5Nkc327OZkESHXuJxC8Nsp84BngNqf958BfRUiux4Bb3N5uTq57gF8Bv3ceh7TN4mnPYB5Qpap7VbULeIrg1dfMAFT1LaD/hIGDXcVuRA2SzXV65lf/i4RsEUGDTjgPE5wfBRYBzzrtI77tTpIrIohIIXAN8AvnsRDiNounYnDaV1RzkQKrRGSDiNzldpgBDHYVu0jx1yKy1elGcqULq9dpXv3PFf2yQYRsN6e7YzPBa6CsJrgn36yqPc4qrnxn++dS1d7t9h1nuz0oIkkjncvxn8C9QMB5nEWI2yyeikE0uFRV5wBXAXeLyOVuBxqMBvdBI+YvJOAhYDJwLlAD/NCtICN59b8zNUC2iNluqupX1XMJXuBqHlDqVpa++ucSkVnA/QTzXQBkAl8d6Vwici1Qr6obwvF68VQMIv6Kaqpa7dzWA88T/EJEksGuYuc6Va1zvrQB4H9wadvJmV39z/VskbLd+lLVZmAtcBEwRkR6r7vi6ne2T67lTrebqmon8L+4s90uAa4TkX0Eu70XAT8mxG0WT8XgfWCqc6Q9EbiN4NXXIoKIpIhIWu99gld8237yZ424wa5i57re/2wdN+LCtnP6a8/k6n+uZ4uE7ebkyBGRMc79UcASgsc11gK3OKuN+LYbJFdFn+IuBPvkR3y7qer9qlqoqkUE/z9bo6qfJdRt5vaR8JH8IXiltV0E+yK/7naeftkmERzhtAXY4XY+4NcEuw26CfY73kmwP/J1YDfwByAzgrL9P2AbsJXgf775LuS6lGAX0FZgs/NzdSRst5Nkc327OfnOATY5ObYD/+K0TwLeI3iFxN8ASRGSa42z3bYDT+KMOHLrB1jAR6OJQtpmNh2FMcaYuOomMsYYMwgrBsYYY6wYGGOMsWJgjDEGKwbGGGOwYmCMMQYrBsYYY4D/D1JNVkccxChhAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# and here again the same profile:\n", "fig, ax = subplots() \n", "ax.plot(cnv[1060+25,1030:1070])\n", "pass\n", "# the peak got broader (2x) but much smoother on the top: this is what we are interrested in." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After convolution with a pattern of the same shape as the hole, the peak center is located with a sub-pixel resolution.\n", "The peak has a full size of 30 pixels in 1 dimension.\n", "\n", "All peak positions will be extracted using the pyFAI inverse watershed algorithm. \n", "Once all regions are segmented, the ones too small are sieved out and the remaining ones are classifies according to their peak intensity using an histogram. As intensity vary a lot, this histogram it is done on the log-scale of the intensity." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of points in the kernel: 97\n" ] } ], "source": [ "mini = (kernel>0).sum()\n", "print(\"Number of points in the kernel: %s\"%mini)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of region segmented: 79513\n", "Number of large enough regions : 8443\n" ] } ], "source": [ "try: #depends if the version of pyFAI you are using\n", " from pyFAI.watershed import InverseWatershed\n", "except:\n", " from pyFAI.ext.watershed import InverseWatershed\n", " #Version of pyFAI newer than feb 2016\n", "iw = InverseWatershed(cnv)\n", "iw.init()\n", "iw.merge_singleton()\n", "all_regions = set(iw.regions.values())\n", "regions = [i for i in all_regions if i.size>mini]\n", "\n", "print(\"Number of region segmented: %s\"%len(all_regions))\n", "print(\"Number of large enough regions : %s\"%len(regions))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = [i.maxi for i in regions]\n", "\n", "fig, ax = subplots()\n", "ax.hist(numpy.log10(s), 20)\n", "pass\n", "#Look for the maximum value in each region to be able to segment accordingly" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are clearly 3 groups of very different intensity, well segregated:\n", "\n", "* around $10^{2.1}$ (~125), those are the peaks where no tapper brings light\n", "* around $10^{3.4}$ (~2500), those are segmented region in the background\n", "* above $10^{3.9}$ (~8000), those are actual peaks, we are looking for.\n", "\n", "We retain all peaks >$10^{3.5}$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of remaining peaks: 438\n" ] } ], "source": [ "peaks = [(i.index//img.shape[-1], i.index%img.shape[-1]) for i in regions if (i.maxi)>10**3.5]\n", "print(\"Number of remaining peaks: %s\"%len(peaks))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Raw peak coordinate:\n", "[(903, 60), (1568, 1743), (1939, 2018), (1570, 1647), (1571, 1549), (1572, 1451), (1946, 1832), (1574, 1353), (1575, 1254), (1566, 1838)]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fix, ax = subplots()\n", "ax.imshow(img, interpolation=\"nearest\", origin=\"lower\")\n", "peaks_raw = numpy.array(peaks)\n", "ax.plot(peaks_raw[:,1], peaks_raw[:, 0], \"or\")\n", "ax.set_xlim(0,2048)\n", "ax.set_ylim(0,2048)\n", "ax.set_title(\"Extracted peak position (raw)\")\n", "print(\"Raw peak coordinate:\")\n", "print(peaks[:10])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Precise peak extraction is performed using a second order tailor expansion" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "try:\n", " from pyFAI.bilinear import Bilinear\n", "except:\n", " from pyFAI.ext.bilinear import Bilinear\n", "bl = Bilinear(cnv)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Refined peak coordinate:\n", "[(902.6954441666603, 59.70516422390938), (1567.744435876608, 1742.5557337403297), (1938.722899645567, 2018.2533508837223), (1569.8278829306364, 1646.4742686152458), (1571.33302205801, 1549.1741185933352), (1572.4731159806252, 1451.1940062642097), (1946.2885729968548, 1831.901939354837), (1573.6348350942135, 1352.9633206240833), (1574.9039308428764, 1254.399701654911), (1565.8688940554857, 1838.3959037959576)]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ref_peaks = [bl.local_maxi(p) for p in peaks]\n", "fig, ax = subplots()\n", "ax.imshow(img, interpolation=\"nearest\", origin=\"lower\")\n", "peaks_ref = numpy.array(ref_peaks)\n", "ax.plot(peaks_raw[:,1], peaks_raw[:, 0], \"or\")\n", "ax.plot(peaks_ref[:,1],peaks_ref[:, 0], \"ob\")\n", "ax.set_xlim(0,2048)\n", "ax.set_ylim(0,2048)\n", "ax.set_title(\"Extracted peak position (red: raw, blue: refined)\")\n", "print(\"Refined peak coordinate:\")\n", "print(ref_peaks[:10])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this stage, a visual inspection of the grid confirms all peaks have been properly segmented. If this is not the case, one can adapt:\n", "\n", "* the size of the kernel\n", "* the threshold coming out of the histogramming\n", "\n", "## Pair-wise distribution function\n", "\n", "We will now select the (4-) first neighbours for every single peak.\n", "For this we calculate the distance_matrix from any point to any other: " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Nota, pyFAI uses **C-coordinates** so they come out as (y,x) and not the usual (x,y). \n", "# This notation helps us to remind the order\n", "yx = numpy.array(ref_peaks)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# pairwise distance calculation using scipy.spatial.distance_matrix\n", "from scipy.spatial import distance_matrix\n", "dist = distance_matrix(peaks_ref, peaks_ref)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a look at the pairwise distribution function for the first neighbors" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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6ZLhLUodm85+YJHXIz4/pm2fuktQhw12SOmS4S1KHDHdJ6pDhLkkd8m4ZSZpnS+FOJM/cJalDhrskdchwl6QOGe6S1CHDXZI6ZLhLUocMd0nqkOEuSR0y3CWpQ4a7dloTa89dEn9JqJ3POF53hrskdcjPlpGkebKU3gl65i5JHTLcJalDhrskdWjGcE/y/iSbknx3pG3vJOcnuaZ9f3hrT5L3JFmf5NtJDlvI4iVJU5vNmfsHgSMnta0FvlhVhwBfbPMARwGHtK+TgPfOT5mSpLmYMdyr6qvAbZOajwHOaNNnAMeOtH+oBhcCK5LsP0+1SpJmaXvH3Perqpva9M3Afm16FXDDyHobWpskaYx2+IJqVRVQc31ckpOSrEuybvPmzTtahiQtqqV0jztsf7jfsmW4pX3f1No3AgeOrHdAa3uAqjqtqlZX1eqVK1duZxmSpKlsb7ifAxzfpo8HPjvS/vJ218wa4M6R4RtJ0pjM+PEDST4GHA7sm2QD8BbgHcDZSU4Ergde2FY/DzgaWA/cA7xiAWqWJM1gxnCvqhdPs+iIKdYt4NU7WpQkacf4wWHSTmipXfxbzpZqX/rxA5LUIcNdkjpkuEtShwx3SVoEC/1vHg13SeqQ4S5JHTLcJalDhrskdchwl6QOGe7aKS3VvyqU5ovhLkkdMtwlaTst5XeAfnCYtBNZymGk+eWZuyR1yHCXpA4Z7pLUIcNdkjpkuEs7CS+m7lwMd0nqkOEuSR0y3CWpQ4a7JHXIcJekDhnuktQhP1tGkuZoOdxW6pm7JHXIcJc6thzOMLUwHJaROmfA75w8c5ekDnnmLnXIs/WFs1z61jN3SeqQZ+7aqSyXs64dsTMco2bmmbskdcgzd0maheX2jshwlzqx3MJHC8thGUnqkOEuSR0y3KUOOCSjyRYk3JMcmeTqJOuTrF2IfUhaWP7CWN7m/YJqkl2AvwJ+D9gAXJzknKr63nzvS9rZGcDjsRz7eSHO3J8IrK+qa6vqF8DHgWMWYD/SjEZ/KLfnB3Ri7blL9gd7qdbVk6X8/M8kVTW/G0yeDxxZVa9s8y8DnlRVr5m03knASW32ccDV27nLfYEfbedjF5J1zY11zd1Src265mZH6jqoqlZOtWDR7nOvqtOA03Z0O0nWVdXqeShpXlnX3FjX3C3V2qxrbhaqroUYltkIHDgyf0BrkySNyUKE+8XAIUkOTrI7cBxwzgLsR5I0jXkflqmqe5O8Bvi/wC7A+6vqivnez4gdHtpZINY1N9Y1d0u1NuuamwWpa94vqEqSFp9/oSpJHTLcJalDyzrcl8rHHCQ5MMmXk3wvyRVJ/qi1n5xkY5LL2tfRi1DbdUm+0/a/rrXtneT8JNe07w8fc02PG+mTy5LcleS1i9FfSd6fZFOS7460Tdk/Gbynvd6+neSwMdf1P5Nc1fb9t0lWtPaJJD8d6bf3jbmuaZ+3JG9s/XV1kmeOua6zRmq6LsllrX2c/TVdNiz8a6yqluUXw8XaHwCPBnYHLgcOXaRa9gcOa9N7Ad8HDgVOBl6/yP10HbDvpLY/A9a26bXAKYv8PN4MHLQY/QU8HTgM+O5M/QMcDXweCLAGuGjMdf07YNc2fcpIXROj6y1Cf035vLWfgcuBPYCD28/rLuOqa9Ly/wX890Xor+myYcFfY8v5zH3JfMxBVd1UVZe26R8DVwKrFqOWWToGOKNNnwEcu3ilcATwg6q6fjF2XlVfBW6b1Dxd/xwDfKgGFwIrkuw/rrqq6gtVdW+bvZDhb0jGapr+ms4xwMer6udV9UNgPcPP7VjrShLghcDHFmLf27KNbFjw19hyDvdVwA0j8xtYAoGaZAJ4AnBRa3pNe3v1/nEPfzQFfCHJJRk+8gFgv6q6qU3fDOy3CHVtcRxb/9Atdn/B9P2zlF5zf8hwhrfFwUm+leSCJE9bhHqmet6WSn89Dbilqq4ZaRt7f03KhgV/jS3ncF9ykuwJfAp4bVXdBbwX+HXg8cBNDG8Nx+2pVXUYcBTw6iRPH11Yw3vBRbkfNsMfuT0X+ERrWgr9tZXF7J/pJHkzcC/wkdZ0E/CoqnoC8Drgo0keOsaSltzzNsmL2foEYuz9NUU23G+hXmPLOdyX1MccJNmN4cn7SFV9GqCqbqmqX1XVfcBfs0BvSbelqja275uAv2013LLlrV77vmncdTVHAZdW1S2txkXvr2a6/ln011ySE4BnAy9poUAb9ri1TV/CMLb92HHVtI3nbSn0167A84CztrSNu7+mygbG8BpbzuG+ZD7moI3pnQ5cWVXvHGkfHSv798B3Jz92get6SJK9tkwzXJD7LkM/Hd9WOx747DjrGrHVGdVi99eI6frnHODl7Y6GNcCdI2+tF1ySI4E3AM+tqntG2ldm+D8KJHk0cAhw7Rjrmu55Owc4LskeSQ5udX1zXHU1vwtcVVUbtjSMs7+mywbG8RobxxXjhfpiuLL8fYbfvG9exDqeyvC26tvAZe3raOBM4Dut/Rxg/zHX9WiGuxUuB67Y0kfAPsAXgWuA/wfsvQh99hDgVuBhI21j7y+GXy43Ab9kGN88cbr+YbiD4a/a6+07wOox17WeYTx2y2vsfW3d32/P72XApcBzxlzXtM8b8ObWX1cDR42zrtb+QeBVk9YdZ39Nlw0L/hrz4wckqUPLeVhGkjQNw12SOmS4S1KHDHdJ6pDhLkkdMtwlqUOGuyR16P8Dfne8qZX7+XUAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots()\n", "ax.hist(dist.ravel(), 200, range=(0,200))\n", "ax.set_title(\"Pair-wise distribution function\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This histogram provides us:\n", "\n", "* At 0, the 438 peaks with 0-distance to themselves.\n", "* between 85 and 105 the first neighbours\n", "* between 125 and 150 the second neighbours.\n", "* ... and so on.\n", "\n", "We now focus on the first neighbours which are all located between 70 and 110 pixels apart." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 359 control point with exactly 4 first neigbours\n" ] } ], "source": [ "#We define here a data-type for each peak (called center) with 4 neighbours (called north, east, south and west). \n", "point_type = numpy.dtype([('center_y', float), ('center_x', float),\n", " ('east_y', float), ('east_x', float),\n", " ('west_y', float), ('west_x', float),\n", " ('north_y', float), ('north_x', float),\n", " ('south_y', float), ('south_x', float)])\n", "\n", "neig = numpy.logical_and(dist>70.0, dist<110.0)\n", "valid = (neig.sum(axis=-1)==4).sum()\n", "print(\"There are %i control point with exactly 4 first neigbours\"%valid)\n", "# This initializes an empty structure to be populated\n", "point = numpy.zeros(valid, point_type)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "#Populate the structure: we use a loop as it loops only over 400 points \n", "h=-1\n", "for i, center in enumerate(peaks_ref):\n", " if neig[i].sum()!=4: continue\n", " h+=1\n", " point[h][\"center_y\"],point[h][\"center_x\"] = center\n", " for j in ((0,1),(0,-1),(1,0),(-1,0)):\n", " tmp = []\n", " for k in numpy.where(neig[i]):\n", " curr = yx[k]\n", " tmp.append(numpy.dot(curr-center,j))\n", " l = numpy.argmax(tmp)\n", " y, x = peaks_ref[numpy.where(neig[i])][l]\n", " if j==(0,1):point[h][\"east_y\"], point[h][\"east_x\"] = y, x\n", " elif j==(0,-1):point[h][\"west_y\"], point[h][\"west_x\"] = y, x\n", " elif j==(1,0): point[h][\"north_y\"],point[h][\"north_x\"] = y, x\n", " elif j==(-1,0):point[h][\"south_y\"],point[h][\"south_x\"] = y, x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will need to define an *origin* but taking it on the border of the image is looking for trouble as this is where distortions are likely to be the most important. The center of the detector is an option but we prefer to take the peak the nearest to the centroid of all other peaks." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The guessed center is at (734, 1181)\n", "The center is at (753.7035001516342, 1186.1879850327969)\n", "The X vector is is at (97.71973018262348, -0.7879771176533654)\n", "The Y vector is is at (1.382185794965657, 97.08269907579457)\n" ] } ], "source": [ "#Select the initial guess for the center:\n", "\n", "#Most intense peak:\n", "#m = max([i for i in regions], key=lambda i:i.maxi)\n", "#Cx, Cy = m.index%img.shape[-1],m.index//img.shape[-1]\n", "#Cx, Cy = point[\"center_x\"].mean(), point[\"center_y\"].mean() #Centroid of all points\n", "Cx, Cy = 734, 1181 #beam center\n", "#Cx, Cy = tuple(i//2 for i in cnv.shape) #detector center\n", "print(\"The guessed center is at (%s, %s)\"%(Cx, Cy))\n", "\n", "#Get the nearest point from centroid:\n", "d2 = ((point[\"center_x\"]-Cx)**2+(point[\"center_y\"]-Cy)**2)\n", "best = d2.argmin()\n", "Op = point[best]\n", "Ox, Oy = Op[\"center_x\"], Op[\"center_y\"]\n", "\n", "print(\"The center is at (%s, %s)\"%(Ox, Oy))\n", "#Calculate the average vector along the 4 main axes \n", "Xx = (point[:][\"east_x\"] - point[:][\"center_x\"]).mean()\n", "Xy = (point[:][\"east_y\"] - point[:][\"center_y\"]).mean()\n", "Yx = (point[:][\"north_x\"] - point[:][\"center_x\"]).mean()\n", "Yy = (point[:][\"north_y\"] - point[:][\"center_y\"]).mean()\n", "\n", "print(\"The X vector is is at (%s, %s)\"%(Xx, Xy))\n", "print(\"The Y vector is is at (%s, %s)\"%(Yx, Yy))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X has an angle of -0.4620027563549718 deg\n", "Y has an angle of 89.18432364179688 deg\n", "The XY angle is 89.64632639815186 deg\n" ] } ], "source": [ "from numpy import arctan2, rad2deg\n", "print(\"X has an angle of %s deg\"%rad2deg(arctan2(Xy, Xx)))\n", "print(\"Y has an angle of %s deg\"%rad2deg(arctan2(Yy, Yx)))\n", "print(\"The XY angle is %s deg\"%rad2deg(arctan2(Yy, Yx) - arctan2(Xy, Xx)))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "x = point[:][\"center_x\"] - Ox\n", "y = point[:][\"center_y\"] - Oy\n", "xy = numpy.vstack((x,y))\n", "R = numpy.array([[Xx,Yx],[Xy,Yy]])\n", "iR = numpy.linalg.inv(R)\n", "IJ = numpy.dot(iR,xy).T" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Xmin/max -6.073942128478845 12.06072105601781\n", "Ymin/max -11.08905457323414 7.040603636712159\n", "Maximum error versus integrer: 0.11721135467538701 * pitch size (5mm)\n" ] } ], "source": [ "Xmin = IJ[:,0].min()\n", "Xmax = IJ[:,0].max()\n", "Ymin = IJ[:,1].min()\n", "Ymax = IJ[:,1].max()\n", "print(\"Xmin/max\",Xmin, Xmax)\n", "print(\"Ymin/max\",Ymin,Ymax)\n", "print(\"Maximum error versus integrer: %s * pitch size (5mm)\"%(abs(IJ-IJ.round()).max()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point it is important to check the correct rounding to integers: The maximum error should definitely be better than 0.2*pitch ! If not, try to change the origin (Cx and Cy). This criteria will be used for the optimization later on." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from math import ceil, floor\n", "fig, ax = subplots()\n", "ax.plot(IJ[:,0],IJ[:,1],\"or\")\n", "idx = numpy.round(IJ).astype(int)\n", "ax.plot(idx[:,0],IJ[:,1],\"og\")\n", "ax.set_xlim(floor(Xmin), ceil(Xmax))\n", "ax.set_ylim(floor(Ymin), ceil(Ymax))\n", "ax.set_title(\"Red: measured peaks, Green: Expected position\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Estimation of the pixel size:\n", "\n", "The pixel size is obtained from the pitch of the grid, in vectorial:\n", "\n", "$$pitch^2 = (Px \\cdot Xx)^2 + (Py \\cdot Xy)^2$$\n", "\n", "$$pitch^2 = (Px \\cdot Yx)^2 + (Py \\cdot Yy)^2$$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pixel size in average: x:51.165 micron, y: 51.497 microns\n" ] } ], "source": [ "from math import sqrt\n", "pitch = 5e-3 #mm distance between holes\n", "Py = pitch*sqrt((Yx**2-Xx**2)/((Xy*Yx)**2-(Xx*Yy)**2))\n", "Px = sqrt((pitch**2-(Xy*Py)**2)/Xx**2)\n", "print(\"Pixel size in average: x:%.3f micron, y: %.3f microns\"%(Px*1e6, Py*1e6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this stage, we have:\n", "\n", " * A list of control points placed on a regular grid with a sub-pixel precision\n", " * The center of the image, located on a control point\n", " * the average X and Y vector to go from one control point to another\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimization of the pixel position\n", "\n", "\n", "The optimization is obtained by minimizing the mis-placement of the control points on the regular grid. For a larger coverage we include now the peaks on the border with less than 4 neighbours." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total inital error 2.5995763607010702 [753.7035001516342, 1186.1879850327969, 97.71973018262348, 1.382185794965657, -0.7879771176533654, 97.08269907579457]\n", "Maximum initial error versus integrer: 0.19983845643285036 * pitch size (5mm)\n", " message: Optimization terminated successfully.\n", " success: True\n", " status: 0\n", " fun: 2.1237728421697275\n", " x: [ 7.530e+02 1.185e+03 9.811e+01 1.475e+00 -8.045e-01\n", " 9.732e+01]\n", " nit: 15\n", " jac: [-4.172e-07 2.384e-07 5.960e-08 -4.768e-07 5.066e-07\n", " 1.162e-06]\n", " hess_inv: [[ 1.423e+01 5.164e-01 ... -1.869e-02 4.810e-02]\n", " [ 5.164e-01 1.439e+01 ... -8.707e-01 5.685e-01]\n", " ...\n", " [-1.869e-02 -8.707e-01 ... 2.969e-01 -4.073e-03]\n", " [ 4.810e-02 5.685e-01 ... -4.073e-03 2.947e-01]]\n", " nfev: 140\n", " njev: 20\n", "total Final error 2.1237728421697275 [ 7.53021128e+02 1.18519692e+03 9.81143530e+01 1.47509431e+00\n", " -8.04478761e-01 9.73166900e+01]\n", "Maximum final error versus integrer: 0.23464503578974316 * pitch size (5mm)\n" ] } ], "source": [ "#Measured peaks (all!), needs to flip x<->y\n", "peaks_m = numpy.empty_like(peaks_ref)\n", "peaks_m[:,1] = peaks_ref[:,0]\n", "peaks_m[:,0] = peaks_ref[:,1]\n", "\n", "#parameter set for optimization:\n", "P0 = [Ox, Oy, Xx, Yx, Xy, Yy]\n", "\n", "P = numpy.array(P0)\n", "\n", "def to_hole(P, pixels):\n", " \"Translate pixel -> hole\"\n", " T = numpy.atleast_2d(P[:2])\n", " R = P[2:].reshape((2,2))\n", " #Transformation matrix from pixel to holes:\n", " hole = numpy.dot(numpy.linalg.inv(R), (pixels - T).T).T\n", " return hole\n", "\n", "def to_pix(P, holes):\n", " \"Translate hole -> pixel\"\n", " T = numpy.atleast_2d(P[:2])\n", " R = P[2:].reshape((2,2))\n", " #Transformation from index points (holes) to pixel coordinates: \n", " pix = numpy.dot(R,holes.T).T + T\n", " return pix\n", "\n", "def error(P):\n", " \"Error function\"\n", " hole_float = to_hole(P, peaks_m)\n", " hole_int = hole_float.round()\n", " delta = hole_float-hole_int\n", " delta2 = (delta**2).sum()\n", " return delta2\n", "\n", "print(\"Total inital error \", error(P), P0)\n", "holes = to_hole(P, peaks_m)\n", "print(\"Maximum initial error versus integrer: %s * pitch size (5mm)\"%(abs(holes-holes.round()).max()))\n", "from scipy.optimize import minimize\n", "res = minimize(error, P)\n", "print(res)\n", "print(\"total Final error \", error(res.x),res.x)\n", "holes = to_hole(res.x, peaks_m)\n", "print(\"Maximum final error versus integrer: %s * pitch size (5mm)\"%(abs(holes-holes.round()).max()))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = subplots()\n", "peaks_c = to_pix(res.x,to_hole(res.x,peaks_m).round())\n", "ax.imshow(img, interpolation=\"nearest\", origin=\"lower\")\n", "ax.plot(peaks_m[:,0],peaks_m[:, 1], \"or\")\n", "ax.plot(peaks_c[:,0], peaks_c[:, 1], \"og\")\n", "ax.set_xlim(0, 2048)\n", "ax.set_ylim(0, 2048)\n", "ax.set_title(\"Peak position: measured (red) and expected (Green)\")\n", "pass" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimized pixel size in average: x:50.959 micron, y: 51.373 microns\n" ] } ], "source": [ "pitch = 5e-3 #mm distance between holes\n", "Ox, Oy, Xx, Yx, Xy, Yy = res.x\n", "Py = pitch*sqrt((Yx**2-Xx**2)/((Xy*Yx)**2-(Xx*Yy)**2))\n", "Px = sqrt((pitch**2-(Xy*Py)**2)/Xx**2)\n", "print(\"Optimized pixel size in average: x:%.3f micron, y: %.3f microns\"%(Px*1e6, Py*1e6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Few comments:\n", "\n", "* The maximum error grow during optimization without explanations\n", "* The outer part of the detector is the most distorted\n", "\n", "## Interpolation of the fitted data\n", "\n", "### Multivariate data interpolation (griddata)\n", "\n", "\n", "Correction arrays are built slightly larger (+1) to be able to manipulate corners instead of centers of pixels\n", "As coordinates are needed as y,x (and not x,y) we use p instead of peaks_m" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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+B/cOt3Ev3U6/8e8C99ARn/108z28WdqyDbsRAIbDAXw4gIPnS3q/fFdi6kJM3Y3RC2bcmAvoqtw/o12p3V91unGRpgu4Uoi42K0yJ2O3pqBLGrNaumW09PJWPIae7mhLTaR3kzoGVSjzgDwFY+w9WvFJfgDAyRuGgYDRHcjwRBv+xoFAzGAewTzgcPDgVtEAxmPEGGjEMN5yv75r4TCOOMAB2cAjDuzmBx4xgHHgcXpnNcTY9mc8bop+g8lDl4OnT/BdrmsRB3xivDt2NX6C3fSj410ewuxuxiNTFbwuPFAF8DrG+eTtCp6vkXPokh4vE7yktysAGJCgKwMydIEXifWBaTuU5UFqQxk7ZucvehYK8EoZMyizgEy2SS2LxTDq3viQkfz+FV4xjjuH8vsCMTgYPVkRATwOGIhxZNdR5GBsdF6zcQAwmvaAfaNHHjEORwDA0f+OoAhgRww4klt/pMGXi/x3ZW3dht0QABuAg4eug/Z+IYFYAKsBYH+jDV2PEtBq3ZDFtDrJC++XvggqospFW1SsQcwqewq8atAV0mqGrvrE2XiqnAI4MT/1VJpJbXMJXnm++FQJct0AEsbE8Ypgd0QCMXgQG5zRS94wZDcTF++SvGHkvWMAwFzfqMFvePq9laYRwOweDPAwNjgAO4Bx4NsdO6slwnHq5Nx1dv2ah6nH4L1b8HFd411FjNejo/SCpW5G2b14e/QeLgVex3HABXvg8t6uOK1ivDJvlweu2NU4CvCSnqxabJeGLglYHeC1JLSh335V1qO0vAllE0Cmr/wCxAjJG8bIQcyvUHjFiEEI9zO/s0ZC0S2pvGHwoETEGJlBAwMYwMxg3w16IMZtIHbrjUy5B8xv8Bi8YEw4DoSRBhxxtKHrrBC2vg0jotcA+JMAPsLMn+PTzO/GnlrXjQAw5/lK3i/Z7QhCFlifeb4qXY+ZVwz1aUBMW4HhYnlxC5YXb756WYZOzB7ZGvlkVm3A9PrSCNSM3RxPWu/yHsOowbf1xGvAmYwHS0+WOYxlnrBgJMJTvDdOFLxhEN6w8AQ6uvNMe8MAG8AGYgzjgNt0cPNH5806+LgMADhgxIE8bGF0y3jEMI44DCMOYw+t1rX1p8ebol/3nq3Q1fiY6maMAfbjLTzqwSx4vB4db2XerhEU47vCdAAv7e0afTejDq5nboAXEzAK8FJdiQV4CU/YYvDi0ga1IEqn93rki3W1ubWgbALIIowpkItmjJN9yuZFXJfZPel3VhYjFrolQwWWN8znYwDDiOgNcxpil6R7Cj1gHJxdegzALZAAs2PeJUljgrOwQRMQtgY4ncmGvRbAPwTwepEWvhv7CiJ6qZ//m6dWdCMADLeGSe8XKy+XhCz51qPsesy6ICF+1TRnJ3g5nV3nneec1a1odlVW/OdzwCvLm4HYhLHrgacC4pCJdJ26DA1cev/peW3otPEUx1QatGiwvNF03ZAB2LxhGzjeNPLYMNHOgcAHRvCGAQPIADDy4AWEbshbcTroANcdmTxhDsSGIXVHnqrdA3b1+rXx3gheEbokgInuxkfHWw66+IBHj7ea8V06sJ4B7+0aMDKq4FUE10vwCtDVAq85QfUKugAL1Khqz4KqcaNz7RXl6X3eL5VPFcV+KnjTE1ghPr/JeTjzIR4cre5JFaw/EHj0O7PlDaNU2Ti44zXCxYa5uDDXJXlxPIBFiEPwiuIAPHYM8WBllySABFpyWvweR9dVee+wju1Z24Yx8w/7T5ZJPR/Ac/z06wD8EHYAc+IDuQD8gwFeB28flPdLdj3KG7LOI2EsXGTZr0or2iZnDFiYc+7EHsjMKJQFNOFLpwljl+bbBq8wdlNGbgq6KvmKNDLqrhi+wgvpDV8GZMUfxde6HUwhGY5QqIAwEFyXY5gO3ZJAjA0bAQwHOE8CEYgIRyLQMT21ZTAmux/BMSg/xIP9OkYMtA6AMdPuAbsG+vXxHhO8wp/ubnQA5roaHxsP1fguGVgv32hk7wWTnq5u8JK/Erx0UH1MT2kAquCl7QCpcrJ0pPmmeoCrsU5crwZlEsgay2MZwSvmKzHBK5QnH95jHv/gB4BH5J4ycPKGSc98aFwjNsyTmGcmb/BiXJg7B3RwPouuSan4RmIDwo4yPuxEXaINq3039iRtHsCe+/kvA26pYSfEGF8ZeAUQ8zdLlmkSxCR8qe5I0xsmVHjNgmqgNRPCgMbTni7X/5KV1jJ4Ia+EJF2Gnpb5jPaRrqtWR23byF5WA1+K/+xfDnWGJ0phBBG6rsGlN8x3QxKz/00BsgTfLXlMxo8BYdhKDT7mQs6HX/envGCcYOzQCO7v1XUbGfpO02t/+g/iNj8ORwwxvst6s1F7vR4bb2VDSdw+5l2OsqsxvNGowas6nMQc8LI8XqMErcbbjD3g1fGgNmkPW/aotZoEKb0uqUUSxqzlYV1fsOyeZLF+grXcLsU4sdHwhg3uAS96w0BlbFh4cYgc/sXYM/GmZOiSZM7jwnQIxeg9YRhd16SMC8NwARwdVsSuSCAG57s3JAcPYjNvfBUtsGFPJKKHxPyDzPxg78prfjd28wCG6PXSw0wkr0Q5/ASyZRq8tOcr/qIGY5zPe8UjNHWeLTmUVpkGHGXwpY1ZBkM9o06L6jueKDVU2cZ2oryKEfRNbhtSsY+iMQvp4biGuiWIMdw4X76rMXrDPJCHIP24soe2EKQfn0BF02sQRkc25xN8uaB8HQ92Fx3XeQty74K8Uv2G8H5NDSnx2Hir8Ho9djxkbzTKwHo5lIS7kXaA19RbjS3wYmQeL9PbBRTXfhd4aTuxwGbOXbfwfqGEsqmuSA1UEbTiKlTGick8EsSA/K1Jyxs2sAPgMO1aEeEr67FR9zHZJZkUyMx3WzMBhyNwPGAcCHfHfLcAXLjfAGEe0oAEY0cecO9wO4HYiVpowz7GzPfPXOfDRPRkZn5EfTf2JG0ewCJsHQhMDsZASN6vGlDprkeRrj1frE7UAsjWULjwelXLKyFJpmWwJeYNr5f1tDkLuKz1WuDVMowWjFn1mQ1S0+KYhSdL8vPOm4UEYiEfk+MmZv+LHMTieDwcb1zOlrYhjHwbLkQTB+IUlI/Q/ej/VDzYXeMRh5N9+LR7wK5YDsBy8DpiKAZRlbFejx1vRa+XNWp9zePV1dVYe6sR8J4tSiezhqwIYQLUkJYDFaDqsEHFw2CHajarGUKh7bmCKg1lEZj0cgvGZHUBsmL+hldMVJG9NSm8YeEyjgO5DuyOAyHvkgxjGXqvWIC3uAkEN3irBWFj6Dc8OAgbhxic75QgbCS/foAwv+o4OHA/gnAvSeu3VJdmw94M973YVyD/buxJ2j6AycD7Od4vAsJQFOxjfTIQM+Are2pAY3qppiCs98lN55+CL8vQdTxx1gxZNQZtyhBPaaYBlscuM5zq2JJfzgOSR4yhRpV2VooHzrxkIT7Md0D6ZpI/lMpaE8DE7mnwGChOLBbdj4+NBwzHMcWCIY8HW80DttoTRFLlNe6XAfhLAD7qs30jM79l9co3pt/w43wdeej6bFDoegxvNt4+HsQYXvUYrzQNN4hqb1cjkIOXBVkxve+NRiDZnzQt8un1kNaL+XtUW6c2HeatBz3K80TbIZMzwjJgTACVVXVKpxzEkPZleHiU6QwC+QB8N3QOUpfk4KEsfOLI6pL0sMaAAzRQF4SFNyRz3cLIRw9eDi+OYRgL6+3IE3UOG0ZE3wPgOXBdlR8C8E2ofzf2JG0ewDD4AHwf+xU+OdTl/eoJwEe+rgViqx7/KQhTWU0pAzMJX9U8Rp1TBtGCLj1vgdiEFvW4U/4rgUt6v6LXS0AXA6AjMs9Y7Jb0T5UB2iKQsX88ZRvCPF65mIpbgGmFbgG4uOU8+cTqL/eCraEzjSL9WpSvcQPAK5n5W89R4Vb1G8e7s65GPZ6X9dkg2eV4W4CXNY5XAV5wN2ceJ8Ar2oH1wKsIdwj5UOYFStswpwuxB7iqNoVjM8v1gg3RcCXTwirClkfveihLgFgBaDGvf6gLyylWmWCNPZANHsVGpLiw0PUYIMwDmetS9hAGdufBDAgbjwd49z+AHIBifNgxDcOThqcYcMSAe3Dh3oJcxWuxvg1j5q+oLCq+G3uqNg9gxSeH5FheLe9XCMYXYCX/YhdjOLYavuJ0hzUwnqpm55GGY2J5YWQKI9f62G2f4WtBl15Hw51uV7NLQKsXxIQhy4ynNJoyj1iWfRM0eLh83gBcRXzYAOfOD4UEA0olhBEAPhJG41HQDWXHuH08YADjFo24GEZ38+UDLsYjbpP/7h+JV78X6FzfUau8xr3L0G+Md5vg1RpItfah7CPL+C7jQ9kcQIxSd2OI7dIxXpW3GrvACzqfsjtWPqi8Mg8m7EVNho3qCaWIdU4UmbWNUgYNZNIzJibNulilySEsOEv30/6Zj0Y3o+PCOHi6BmebeFQQRhS7JQsII5gQRsQYR2G7hhE4HsxhKoAEaKN4aJQB+qdo/xbkFUsOOzHL+6VAivU0kHtQFsCXvFD6NmY6S3aqNcCl/oRZBrrK9U1DV5mfqrMbvDoALBtLa2o/RcgiSKtldUMCyGLCoverAuYBuGR8GAczKSHMb1zLEwaMGYQRMS6OA4gOIACHYZjsijxV4+V+R+0lRPRCAA8B+Po1RpLeun7zeBdGHprgpT8dpLscre81hkFUmd0Ntfh0UICvMKYXkLoae8fxglgGK5+8xisB9kjzPQ9/psmt2QOrnKmyJoqVNqS2us4T4UrcEGr3BjLyuXJoEsIAxO7GsJzYQ5zPUEAYHHxlEBbOE8DFkjFBmhoXQUGiO1J2TybPl4uTvQUcXFC+/HzRWsNQuPK2G8e6fQALo9+L+C/L+5XDlu39yroWTeCS0/4GK8toNrQjz6wNV7+wjUwOPlQYnZonrAlKvdBV1F9O6/LccpVgGcyq9QPCU2gsRwOZgDHW0+r4RxBrxYd501hAGNI5ksxnHcKIHITR0X2zbTgejG7IvCvyFDEDx2VPj0te434VgJfDbfrLAXwbgK9aUvlNUnizUYJXALLQ3RjeatReL/nNxubbjRG8EoBl8MVIHq9GcL0ZswWVT89bsNZhI+J8Y3mmSnq3995a16rGgKNQjnUpZaAEkYfT+rL7MUsXhQSQmg1hvjwOkAVvi+ICYTD9L49wnyny54t+O3IYnIc1jwnLIQxA9IjheCsO2JppjRiw5TbsWugGABhS0P1BzUvokuN5Vd6AtDxm5nSoW4HX5HmwFMImjE5fDFbjTaMKfDUNZa0N4rdpQDODKGYsQKzVLfMLqxWhKqRLIFMwJkejljcTfY6QSGMgxVqklhYQBgqB+ZQMYSRAAWE0gjHgeIQDMADHkXGbGIdxwIEGXNAhfbRbDE1xqha672e/xs3MHw7TRPRqAP96ScU3TY/6Nxo1eMlR7POPZeeB9rLL0Yr1AqMeaG/A12SMF1CAF5DbkjTfN55Xd5djBzi1whnmlFNzUcmrRS+uLZOcoyFMrpeVF6FLz/dBWAIqkU/uCxmYL2PC2NsnRgSxCG+TgfnuU0YsFstYMK1THyCDbnQXZOWNpn8B4Hf7LJ8M4H9j5mf7uI/3A/gpv+ydzPyX/TqfDxec+zgAbwHwV7j1leJOZSPfx+9iwfR+uWUN71e24SJd5yG2vWVAfhXCuI41MMxQXMXaaw3wyufRD18ThrIAsVa+Is2GrircTRnNSFAwYzIyIJMV+XOC1PHUEJYt8+eXe7KsQxiOQAzMhzeeLCDML8aRXKgZ+VgeAi6ODCIfCyY8Xxd0wAWNuKAxDlmxBYUxdPzslwF47yXWfW1t2CeOt0zwqn0wW3u9qt9t5ARgsctRA5gFX41BVDP7U7m2A3hlyxgl/FhpKMtsed+z5VpLwau2XFMS5XVLz1iEJZFWhbBQprFOAWGhnA4Ii7DGAoiywvN6op3ysMUj+QFe+yBs9J8ukoND6wFbpQ7E8S3JO1k9e+C1UG80MfN/F6aJ6NsA/IrI/7PM/GyjnFfBvYb+I3DG63kAvn92i5WyTw5VA+7Tr4auqvcL/fC1rOGd608YmDYokZmnG76mwKuRXs/DxXZNetQs4AvLjMdOy4iF6QzIQj7iCGKQy3xZEs5kN2V4QzJvRqM7MhhFKAjzXrCRBuDoPilyHNznig7DqCAs74o8RS6Adf34icpr3M8homfD7a4PAvia1Suu67W4pjbssfFW6mIU4GWNZB8GVJ3t9YpxXeJXXuMavsaO4PpqWmNoG7GO1Z04285IGWlT4FWFN5ldgxeQE4+fD2XJ7sQIVH59DWFF+VMQJgGuB8IgfpGgLOQkFiXIAmZCGPOAwadnLxX54PwAYRfEwOi/9hFiw07UuWzYZWkSwFpvNBERwY2H8X9qleFHjv2tzPxOP/96AH8aKwBYFnifgZft/dJeLe39asZ0BfiK82IdMT9L2ghYF3wlf91bRPnyU+HrRPDS0FWLwWiWP7HdSJttesBiXgVkGYxJEAP8m0UiX1hn8Mv8PMYZEAZvPAlgb5BAAB/da+JMeVfkhYevi0pX5Kk6x8e4K69xf+fqFXXqOtuw2ieEkqcL8Q3HcmgJ5fUK43oxUqyXB6oEXGk6Qlfwhin4aj6IFWmNz5hV7Enct53glS1T6WZ5PWXIZcalkIGVzG88+BUAVYOnBqTFrAryDOZrQlhqW8gZQEpA2Aj3EW+rhAkIk4H5LiYMSN+PzCFsGIfUI3BAnB/GdTz457Bhl6VTLfgfAfBhZv4ZkfYZRPQfAfwqgL/NzP8/AE8B8CGR50M+7WQVgff+Bim9XtL7lcWFaQgTIFUu4xy0NHxJnXI+1IxKR37T/S/yzIGvPm9Wpfy4HovpSnv1dvRAXUUavAABWDFTSgcj/wZkPOYJxMy3I0U5IMQ3emT17huR3vqGBzRhVZMnTJQ/khsnseiKdG9FWl2Rp4ix7fiJlXSlNuyx8WB+NDuAV++4XhK6iu5GDV4RzFJ6+IRQ1RaY16PxoFe1BSIPUK4H9NkDVUZRlpWns4yCcFrSECbSNIRl+bkwUaY3TINakRaTDQjzD4uyK7IJYfqzRR0QFpgqQJh7jhlNCIu7aQBoZAx0SJ6wE7V1G3aq7+4rAHyPmH8EwNOZ+XMBfB2A7yai3zq3UCJ6gIgeIqKHPvrRjzbzxq7HcBOTQfiDSAvfwVJ/ZuyXLL+x3PKGmdvT3IK2JBdaT3NhXp7LlvFbE76s8tI34NxFRh4+SMSUhGmdP7z2HpfLeb1s6k+WK8qQZes/jEbe0W/H6I1U5Q+qbIwAHRE9C1k+Buio0kIw9Ejg4+CM2zjgeHQ32mPofuIUhP3Y6D9FwwP+0kMvnHU+5XLu+7l/N0yr27A59uv28YDboxhY9ehivS7ECPfjSDgewy/Fc4SZnOdUnDt8JHc+h994foXzMaQDYFLXLdXhK7uWneHMrjcBcJnXS88jzyOva1h/sAFPllOAlZG/VsZi1Yy6AXuzHmBFOdUejJDG6XhY+48AEdMnjm20qwLKK7COGtxz8rzGBwI/LWMWQxyjHk4lDLHy5f/+1EiE+TbsOmmxB4yIbgH4MwA+P6Qx86MAHvXT7yKinwXwWQAeBvBUsfpTfZop/0r7gwBw//33Ny+XBFulF0xCWIKzaD/iRdSK/XIbOxH31QFi4rmiqR5Pl2+SkWc6/mI2fFlGwph2+Tlf15guykIlzaoj2372m1zusWLf1LxiyvNVeMWER4wHSl2SoQxfdihCfpooVJdGEvdRXwMQPwdCfnTqUBBx7IocVVdkGKCV6AAixmPHW/FbkafoTv4Y97ls2Bz7ZQ0rwcjjvJoDqvqbYeb10jdXHfOlbtj6ZmzCl1wPaMNE5VqOaQ2bIFXzWNm2ryPvnEslXtSG5lwyvpzMK2YUxVD5fKJeHtIKb5nwhDmvly+fUHi9otnzb2oH71d8MxKiMsD0hAEMGih95rHSHUl0xNEPWTH4ISrS24/h25Gnacs27JQuyD8O4CeZObrlieg+AB9n5iMR/U4AzwTwc8z8cSL6VSL6QrgA1hcC+AenNDxIB94XfxLOLO+XhqcCruwrxoz7mjgPFp8mNSNSgZOwbE34qgJVLI8785XbUX0SlFCntz2uKwsy8phpFJflMWDI08W5QszRk0qMNC6YtJAhfYDzgvl52ZBk1yX9wYHY0T9MHH1QPgYcyX170uqKvOVHxV+qrY+hs4Ku3IZdHA/VAPsaeNkeCYguR+obVBXlMoJYbsGXda22YAxlWnMdKW16dZ7GfAu8dDlTl0BvT4dWBl2U6tVdixG8IKalXVHLE3TlzYoQFoHLLwsQRvAPfWh+wDuDMEYcpDWDMAYwTkOYHDF/IEb4gPfdseWnRUFt3Yb1DENRvNHEzN8J4AXIXfcA8EcBfDMR3Ybb63+ZmT/ul30t0ivc3481AvCh4cvfwGTXo0+T0GXFfulf0yMGMY887SwQXjEw2itkuqHVeifDV8XgBvAqyg3t1fOAaRzLPJzNF+tZ6jDi7GEqGT/KWcjbnABlAcRi4L30hgEZtGUimMH5IPFaePgKOJH77iQBOAZD64yiG2DTvRU5+N/jOOBI/vuA5gdx+3XdXPLn0HW2YRfHPMA+gFc2kr0EL6autxtJeMRKmEI0Ytky6Dy2bentUgtq2w97nWJ9qYnrfJbnrFqpX32JjRcXfeH5kiCm6ssgq1KeBDdCXnYGYQrSsoFaQ75RQBjE8jHcR1Uhod0c2koFhLmHBgdhEY7GAQON0ROGcYhvRK6hLduwnrcgzQ9TMvNfMNLeCOCNlfwPAficme2bVNbdqOCrBl0SrqJ6Lq5anrXhq2FwrKdHs0mW0RXpJqz1wpeEpBq8taBMthHIy4Na19gHLdWMbDjesutRwlj0bMlzJGXN3ohMdyvKDHU8DRjx+5AFhElg029ZHikaYD4O7ttpRlfkgTh+pujWuPx7kFv/jlqvrrMNC2N/BdCufkJIg5eHq3itxWD6sMyl6eB660FNnrdZTFgNvuaAl85XgbEuOFoIXt3lx8y+iJUesAvPly/PgjOXUcAVjDQLwmSeAFf+4THz6Geru3zhfpl7v+S8rywMQ8FptPzwmaMw5DSi58uXQQ7OjiPBfDPyRAjbug3b/EhoVjdjivMSQ1OILslu7xep2C+Ik13/huWqfV2nRss4TBiYSe/XVPmxjDp8lR4t7sij26i2YQq65hrQnm0EFHyleeeJCtOUgVgGSdlxZwdufj6ClpzWEEbCchKa8WDhg8ns34ocB3YB2uOAW94L9tiJgxluOX7iJkh/QmhyPK9wLcnuRqDocowB9Wo+g64GIPVcb7PAK8x32IRJGfnWhq/JtClpqIIArrCcyjQJVNkyXYaGMOj5xjhhgPNiybiw0YawtC+F4Yyj5rsM6TNH6VyE94CNI02+GXmqtmzDNg9gCPAVbmhy7C/LCyaD8IECsFr1TKnGPtVVl4KXgi+tmiGtdj1qgzsFXzxRniojaxOmoaury0Fuk5Y1OLl4/NPwJeedJ4urIJa6IlMDwrheoan6SVNCmHOaJdhyWYVFJbhlI4GPrrAwQOswEI404Dj6ccGGAYdxuQVjbPsV7pug8HajfKusOp6XBV4arkKXY3j7Tc77/BC/VndiSqt1X9rQNBlaUIOvBjxNacpWTMFXzctlhpkskayfUnsyiIKaFvNNaLMgTDR7crBWPSRFOCYCwuJgrYEM46eKUjyYCWHMGEdyQ1ywd3QJCCNi4ATbJXfTlm3Y5gEsj/dKcBXfhtQ3UAlcVnqcnuf9mmKp4hSprdAyIBVj1zSSU7BkQpZqh4KvWpdjsz7k4NWErppRlzIgq2lsOY3jRoGSNHxBTBNi92QEMfGWY+xyDHe1NJMN1KohLNbjPWGxySEe7BgGafV5RwKPYYBWxmB4wU7RluMnboLG42C+2dgDXu46ojzQXgypks1n66AAMcAAL2udKfiqXc9G+pIQA3NdY/1ZXi9d1Lnu5+aNQEGWMV+UIYopoIvyPHMgTMaExYLYPzDqoLJgyi0IIzi4Gkb3cAEfE0bsutuZ3UsnxHMPu6kt27DtA5g14v2cwHs04CvImu6Er3kbk89OGjH5hNpQ01OlyjefTmfAlw1hCbyycoEJw21vWI+HLHvSlGnRcrGAr0BFSEYmnA8Awrj2WRxYGJgwnEN+kMEuCENI8A0g5PFgsp7QDTmIgHzlBVss3nb8xE3QyFRAV3UgVUBcbwq85LVYif+SeYDcjgRVPWLazvTA11S6npZ5ZBZ9DRcZpsuwtNqp36pP1+GNQeHFUsvNvFPlqFXDfPdni5C+Hem6JMl3N6IeDwYDwoCuj3dbQwjN1sZt2OYBTAKWBK2a98uCrlbZkPkNLYKvGQChl5tPqT5PzRtlAldtHVmPgq+puiyPWtFlqduTQVmqpMfQFvlay4Vlyj1hKGAs66KMf95KBW+YLzMDLQvCGK77MVi9cIOUIC9gC+Rd+75sjMi8YOPIMRYsjCG1VK5p2zVeN0F8pBTnVRtSAugDr3h+UZnmz0MgpFGajo0pp/UDXmveLKtiIOd4v+pe8M5851BvXdr+TOUVtkkCmvVAWYOwmCaqnowJC78s5tmtB/UAnUEYIQ5PAUL6XBEQP1kU3oz0iRHCmBinBoFt3YZtHsCi90t5wWreLyD/PaXrsbgGraeUyQ0ok2qGbFYXQc0oGsCk21PAl2xXD3zFurkBW6p9zPYTsrVP9L5B3k5TjPjElXvCoGLCBGgVEOZW1oOyZufKgARZvomk3vYJYEUA8uB7Nx/eYIpeseAFO3DmBbs4Hk4fiHXDT483QXwc6kNKACm4Xlxz9disGpDJeWMwVT0NFPYlpi2Er9a1XeSZUq99aBWhT/vey2Dp5SZtzty8Fpip9hBOg7BUXsgpYCzU0RojjBgY0tuRYKRPFqk3IwOEHQAcVxiKYss2bPsApj1gjdgv7f3q6XpsxX3JfMsabxQ1Ychmw1djuaynF8p64KtnRPwWePU8HU8N0Gqug3ydAsgyGPNeMb+WfEqEf3Ubg7tZRuhieNDykObna7Y3QBbF8cD8+n6E6lS2a1jtjcilYmzbeN0EFd2NwXswB7zgl1nxXhZ8ta43kV7ksYCq2KCyjEn40tdeTSuAF2DAVzPz/PLXUgZbGqyMh/3FEEbi2ZMjfqVjL4Py9RhhAr7C25EcPK1+yIoRCcKSN8xBGJ1of7ZuwzYPYJbXa9L7pTxc1TIb6rourUeMxootY2IaSQuYGvBVlDcJXbwMvgyjXcCXBygLGPN2GjtFGvcZT1A6VjMG2fsy5VhgHNqjux4JaRT88Dq29nY5q+CMnZ8PA2lm+1HGg8nzNo63E/J5ozYSxsF9z0/Ggp2iLRuvGyF/XANgJXCS8DUBXnIZwvo6vzH+Vw2MJuCp+sDUytupyXgv9C+fKn+pWvWufTmZHq81IUzkrcWDpQ1LG+5Gzw8nnIevMMSOH6Ki+GTRmJ4tnfzbkCdqyzZs0wB2/1d9O/iABFtreL8EfHV1Pa7g/ep5Ag0NqhviVE4GRbKpNZBSy88CX9l07vUqui2tbYcBWzOvXQpjlqpjFkeDNkbI1yAmux9jzFcYE8cbHQLisNA8ktkzHZ88Y8C9N2ghpszHflGIHxu5Oi7Yrm3q0//Z303GKV5DNBnjlcVvKfCyr9W+kexjmVKWDRHp3WWdAGXNdvSuPuMyMeGms86QZ3EXZ1AwElaZAsKKumZAWEiMWSWMAXk8mCencK8EwQ0xob8dyZQ9fFoQlkH2HW6+Ng1gFkx1eb+Q58vgS5YNlV/rHE9ThtGavPA1jOnyLJCqrX9Z8KWWm58eksBlbNtk3FdNjOwNHDoiwXX8NAeXIAakJ70QIK9ivoKbPc27V681PIaiQzwYCDFWLBhPGpHeS6h4wS5OGIZi66NIb14BnhnK4wUzkN4MPwjT0Hkb8DUDlqQm4cvK26vcwZLrBPjqOr0Xwla3qJwu7i9BAryyaSgwVMuKKkNeyUdWHrGYvWmLNkfGg8l8IqWIC4sPpH3fjaQTCWzrNmzTAJYDlzsIk94vTFyUZFwcEsxWarqpFnxVn4Zt4Kl5uWT5dt48czd86fzmdAO+QloFugrYOvFAZN2Pvjz232SUMBaHoECyeeyf9OLNb3QxX+nmqcFMfT8SvqAxFujLccaMxHSKCUPsrpJesFOfILf8BtHmFc9/f+6E4SPEedQEr6yMNA30w9cS8Kql9QJUXrhYLj0wJ1zf3ffjM5361fqX1NcBYV3dlGztat8VKcsD0vtHnGArW5fh7F0NwpjjMBXuYdQPFSUgjJgwYlzFA7ZlG7ZpAJPB9xKcJmO/at4v40mlCl9re78m4OtkVaBtCs5q6cXyFggCGXzl3Y8KvmrQZbTlZGnj5gtlnxg/zyHejHRQhgy6yG9f6ErisG3x8x4uoYA0Sr9VeBspedpGZF4wN2jrCecGbzt+YuvSXq8skF6myes2rGxca/m11ReuEMuy2lfJMwVfa3iPJgPyjfxdOvPpXu16JCNPb1tOgDBrfbN83R5OSRHCfDnRbkkIYzFivoxhDQ+VAsJcDwK78cBOPVk2bsM2DWAZUOn5Ce9Xs+vxqjxfppGjNG80osv7ZaXp+gUMdXvRUK5TtAOYhK/oGWJRpt43ehqnX7tGkal+coYneMSCNwyjgDBG1g0Zt0V0T2oICyeVhC/y5bh6/AdyB/jP0bDtBTsSGG5csFO2fcvGa/NaAl8WeEGup+yFAVutrsO4rm6nXtYBcN2qeMHM5ZgBW2HdS1JP3JcFX13bMwVRMCDMSJPdjrq8rEvSm56QjWPm5A2THjJ3fqoR8wOISQgjpLHC1vErbNqGbR7AHGRRnC5gTE63njxInbwB1Ix8c9sYvCLNVaVRjWlkpOXGtaiuBl9GfWvFfcnyS89YB3zNAC9SZZ8qGSJf2n326ZRACs6isa+fILwYo+hqNCAs258BuLKbsMgbRtnXQ1IELxil0fFP0ZaN1+YlxvuieA1gEr4KCGrAV1TFXmhNer1UenP9ibz1Qtx6mRfMArPaulegpZ6vWcH64ibSFQ8m0+V+DJMeoLJuSNWUDMJ0fZG1BK1ldBcaKSAMlL70MdQaPk9btmGbBjB5QstuSH08cq9XWKf0foWyTPhaeowr8GNNW12OVtyGpZqHLKunCljL4UuW34r5ypc14Gty3+QbeXKsSLQwKc4mC16Fgy4JYfKGGOPBInTVISxslHsDCQmywrkbIYyiCz8OSRG8YCBXB7nR8cc9CH+7kpAFlOf7FHxl11oZJ5aVI8tVdRXLWulzAWsOOHE5Pwlh1+D0tR7c5bT5YD8HvLLKUl7L47VYGtA0G0nYIi49afF8U6OMhaD8AGGE/LNFJ3ZjbN2GbRrAdJej2f1oeL+sk7/oitT1LFHt3GoZJe31Ur9W7JVVb3935EL4CpuibwwxrQ++Znm95NhhUgu74WiQ3i+xTaGb0M144yO/BymmBXSlm6VejvRZIr9v4mc8WIKXry+8vk0ovWCU1l3Djc8bNl5bl9lN6GGqKQO+qstk+hz15F9476zGd/VC2ETZp6qXCZoQpUGrAWPXSRGsFHxl0CfdXzLNrxxHGQtuMxn3hWS34lvgJ2rLNmxy84noNUT0ESJ6r0h7GRE9TETv9n9fKpZ9AxF9gIh+ioi+WKQ/z6d9gIheukbjQ/ejDMbXAfWm98uYTxs8Md/VMBTGqVmMztuCL7FOrWvRakthjA34miWr/lhWCV/EXIevClRSdmPifH7k9Cfy9v5lZRh1hTSIv9j+Y5qGLDds1wgXxxWmuSwrK3dUx3wEaKS0ng/ED+nwfxy+H3iCRtDsv63p2tqwIuYLmOx6rMCXuQzIrquW96tLpwCdLqp2GlXsb61no7D9K6hVllmXesCfhK/avaeoDPZ+PnHfz1HWTOs+ZdxX3LlKaaBp/3JSsFvhPOeQdqK2bL96PGCvBfAPAbxepb+Smb9VJhDRswC8AMBnA/g0AD9IRJ/lF/8jAH8CwIcA/BgRvZmZf+KEtvtKy99J71fmrjEubF22ns4yTaR1qho7wYbhrNSjy6gCUqsNBTjpXy4uOssLJsvLPk1kwZcoq2i79nqNal5tX5fEEzVTKhOD6Ib0hWXeMCB6woJXLAbli1HxzTcl9SCywpPlvFlIr2RLL1joviR4Fz5HrxpO9IAxbzt+YoZei2towyyvV6/3pfQ4V8oF+q+Lc0l7trxmecLg0pqn6ymncqV9TTVgsTVvrttoh/RAme27jEu40oawzB2y/MC5eC9vr2Rch/x25Ikn59Zt2CSAMfMPE9EzOst7PoA3MPOjAP4TEX0AwBf4ZR9g5p8DACJ6g897GoBpyJrj/aqVJeetaZnW8UQ469SQcRy+TMuY6jTTg2UY6HN3Pbp62awHWAe+Wt0qPQOzchjkBpgNYhLCcCTwoQPCOC2X+9cKvo/n4BiAjIAjJ/jyrvw0Ov7pT/1bdt/36trasHieGx/I5nD+oP7gZNiLsmz3M9v7VYGmKTWhyqg/nH7FOvK0ZCOtRz0PzXPzVqALsIGo6GlZ43JreOeq+Va8zItuyHCOoQFhlHLE3DE+7DRt2Yad0gP7EiL6ce/e/xSf9hQAvyDyfMin1dJPkux+dPNGppr3i0RaS71PXFQuKlbtNYIaqDQcTZTRjP1YAl/F+pW0yhuPgIIvuX1qW7vgS6wTujaL7kzrT+Qvy8nrKromDbCko5iOg2Zy1h0Zl7MsC77bkX13ZX4M4vJQRux+RPxMUfa3WC6Ade7fDdLV2jCm2NWsz1VzLzeuySDr2u/1qrW63VxBIrFxGjS7Axt1NNdZ8jennN68erluu06jPL/VbTrrHqTvdbV7X+ue2KuO88Z0GIQux3i+ynlj+iRt234tBbBXAfhMAM8G8AiAb1urQQBARA8Q0UNE9NBHP/rRRsb0y+oEhz75AYAabz56tc6Hc5/MWpNdCygvgKZXyWhDAV+WAjgVafLXjvsCDPiqtK8bviBAqgFZ5uj5nSDmYq9yEJuEsAheArgEiBUgLf8EYIX1KMSCjf509tMYyRu1HuvdFjPN/rshOpsN67VfOm5LehLifPWaVMehcl3NVRHbpNNneFWqp2cNesQ6c0+zGth0w84CuCvAy7r/6PQpVSCvlbd7X61x6RrwX8bKoh/CVogBO4f9IqIPEtF7fHzoQyc3sqJFb0Ey84fDNBG9GsC/9rMPA3iayPpUn4ZGulX+gwAeBID777+/bk4syNJliQtAr1szNlaZ2ssWgYBQnJRFU06l/AxORD1sLNfLinU4v2hqdVl5WusV6/p6LPhqtrUNX+Y3Ixtdj3pZ2QXJZXpa7JYFCBvSh4lSEZx1MZJvW/G5IjFSPhjpe5EyFsyDWDw3Yx74j9oixoTFsXROsF+OMW8MUM3SOW1Yt/2S4K/TxW8BalDpcr6lTjvEZNu3mC5tnmx4pXx5imVtnFj3XKdmq9ypfTjpaaJKulyWFZjyNevW96IWfNXaVMu/QLEbkjjaPRbnhZvMb47x7UiR41Sd2Yb9MWb+2LkKBxZ6wIjoyWL2ywCEt4veDOAFRHQPEX0GgGcC+FEAPwbgmUT0GUR0N1yQ65uXN9up5uYNy5quZTkfyju1QT06pZIO+Gp6zabAqaLWgKvSMzQXvgqvl4Qv730y48nijcl7saxuuUpXXd3zxcWffKILbbI8YWFb5XbL/ZHycNa1KD1ksWuRy2WuqwrRCxaeHKMXbKk47fY5fzdB18KGsTBHXP5l51Botz8fdDnFtIQ3naenadq7I9JjmgUjhqeoWu7Uupf1Z7Sv6T0T67Z6XKx9VWx/A6Cq686BL0ui7bFXaCK7K1T9yor0+RqnSZ3TJMohzD0vC23cfk16wIjoewA8B8ATiehDAL4JwHOI6Nlwu++DAL4GAJj5fUT0vXCBqRcAXszMR1/OSwC8DcABwGuY+X2rbIG+OIzl7jc/0SYvAiGr7Mknlpix0qwTTgTTqGrA0heCXt8w7pb3q4CvIo/+wHaCkMxjBZlH1plmshgsqDZk6/sJGf/Uc2UJdzcNKT9XToDo52KAyX+Q239QVnrCKAy+egRwEG9JhiBTRvnJomAM/PYxi1gg4QWLHrAhpYfxxcJbkqfoHK9lE9FrAPxJAB9h5s/xaZ8K4F8AeAaczfhyZv7l1Su323MtbVgEL/Freq6NZbO9XwuVeb18W7JeAHn6WG2oLK96xTras4aqnri5bTCmNbhO3j8Icb9maVadtTKn7m1z91s4tv43TMr0dEqIk8NvQ75pcW2ZiOQ2O01nGlqCAfwAETGAf+q92qur5y3IrzCSv7OR/1sAfIuR/hYAb5nVuilVnl70k80knFlpZzmmy2QaKGmU1TSxWk/B1GI14CtrR2OcLx3nVWxfo8txCrxahty5x0MjKJUxiHKLzQ13Gg9JaEAYq+EpOH2uyOyKHIXBDdPhrcZg4CSkydHxmfwbRD59oVxzznKivxblsA8vBfAOZn6FH0PrpQD+5jkq17q2Nix6ZUMFsrI8a8rTePNRpS31fhXFWcClQQximdGWYnkFxlaXLjuYk1PrXAheWVOMh3iZZoHULK/XzPbE1cKx7YCwCFwRpqYhLBst/8TjsNCGPVHFdT1oANYfZuaHiei3A3g7Ef0kM//wKW21tOmR8DPYqjxlVNcLCifnKQ1RgF/Vkkp6n4K1UbaeqBeq6jFT7TQBrxe+lNfLTXM+DYjB/RrgZQBV/s1HsbwBMMFLFkAsIZcBYcEYjQAfkBmneLPi/C8CF8N50Sh5wVjkgfecZeOCDYjfV1uu87wVVBn24flwXigAeB2AH8IlAdh1VQFI+tqW8sdpKhb0nJoCsaI9EPl8XjNdL6vlWUNzymy113rAnwk6RXlrgFejnea8VgFVom1rQRgDeTzYKVpkwz7GzPe3MjDzw/73I0T0JrihaHYAy+Q9XpbXS+bJplseLmPZWZ/Olp5/AYb0vEivwVIBU7qsLK8BVLGMyke2K288avgywQupzanrswO8LA+WNp5yvRqMaY0JvDA4A0LsjAsGyiDMeSZmesEYsVtRQpf8RmTsevSfMop55N/lq+cJUutJzPyIn/5FAE86T9M2pOKcD/Ol0Wl1TVplnhPKprogq0BWgzG9TOucNlhrLnSJ9CX3ila3Y7XMBvxZeabaVoWtHghTVWoIMxXO0dUgbF0R0RMADMz8a376uQC++Rx1bR7ALPCyAvBbJ+Bqp0CnJ2yyC6FX1g24kjbZ/aghrmLca12P1TcRM0Cbhq9ml6Ne3xpmotKGKAljpLpz5CoK2jASaHBeqtg+wL0heaAIR7W3IhF2vwVQch+qb0TKuDD3kW/OvV8nvsa9MCh18gmyXSezj624s1UBr1bIQX3dldvWoSKOq+LVMuO9Zp62k4HiYvslIM7pdptqV62LbwqSUgH1cq32t8rsBS+zvNY+mQFhIbtcpiFM3hLLlPxheKnOEFj/JABvImfrbwH4bmZ+6+q1YOMApoPqC/CKJ2nlCE0c+6XeL8sWtQzkqbeiwhMFMb/SydlqY/Wtx6w9JXzVvF5xugZeIi33srU3thxqonZeUGkQPRzRkCK/QnekgytvqYR9IeZUJ/vcEbh8fgFa2rul0+J8CMZf4fhe4rheHyaiJzPzI/4NxI9cVsXXWe4YGuBVAa5i3cqyy5bp9Zrwjk3GbGo1PCq1QHdTGT1M5G20YVYbw7LWA9+cOq373FSZJhQ6Q5LBaieEQcxmaTF/B4StcO6ubcP81y5+/6qFVrRpAAtdkIUXjNLJNBkIKdbJfs+kqtFk8RbcUniyQGwNqfKqnrIAX0VeAVC1WC+9/pTXqwZeY33jSb0xWHv7UW9w+h6kAWFErs4OL1iENA1aIgg/WC8ZAxbfnhz9NkQQIxeYv1DutexLA7A3A3gRgFf43++7rIqvqwJ8zQrCbyleT6e3bZYdNOprescMGOtpg5Xf9Lz1asF6s7xTYRGrfD3Hp1ZeA7x6Ia7QUgizytX5fZoJYYyTT9ZLtmGra9sABmSwBcx4kpnQpRzTUw2lgKDJ81jn7QS9ZoB7ACYPCjI9ld0BXxrERrWeUW+WH8jAy9oXTHke973HMqM1IGtIiDELAsIywFIGKgCVzlfzgkEsl8H48ngxE5w3Dfl6C3WOIPzKsA+vAPC9RPTVAH4ewJevXvHWZMFXL0StAVk1zT0lDLiSmuyqbKjnTcIrVceDfvG2Y0ebm96rOfe7Hi+YXCzheArCRJGMSv40YXJb/SG4X1seTHrTACa7HLPux5qbtuExK/J31j8H4JtvMHVX2ucdyyFruhIzpks9kdPCdnfDV6fXaw54WcsKGAPiR2GrI+cTELoRWVig2M3oPzgb3oiM3jE/rQPyMxADFGRBHLvp+VN0joEJK8M+AMAXrV/bdjUJX3OOzVrHcQIkqqvpOyvQB2Mz67kWagFQZfuzFxcq6oUuM29tvZ70UOAJxqQGYbpsUreVNQ71dRtcdY42DWAZUIm07Bf1k/Xsx61lSDO4MbofIaZnPBWvGfeVlQnRBlW+FfuVBevLdeP0ifBVA6/W1UgBmkT2cG5Uui5Dt6V7khMLRqSgfPnEJx/zGNVhKSJsIZ+P2yi7IVW+Il7sBG3Zfb951cBLLrsmmuOJWgJjk5rKu2R/Wd1nnfmr3YJWfsve9LapF7xmltu97xVQFS82SNAy1qVQl3gzMtozaStP0JZt2OYBDEgnhPnbS/Vz3Lq19Vv3fgPGZABuod4Tcwl0ZZBU936V4CXgSALXlKzBVafgqxXrpd+eFOvm28kRuoo8BowVqwdP2SCGmIDygknD5OsgkH/oM4aloNAO4XGL3jGxvQq8ZJekA3b2m7Tc+DBu1Me1tykNX70QNuGpyiCo1zYstXvI62jC2Bw7ZbSn6kmagL2ubevI0wVetXJ729XY7sl1W/XXyulct1sKynRQfmYvT9TWbdimAazZ7Vg7iWsesykV6H+C1JlnxmRNgRUbRqih7lixynp6utYm6f2ylssuvl74sroc7diwCoTFCiswppfF9uUQVmgEcBCgpcYFc4UoL1gwTuI4x7rCrzoHii5HkXZyF+Rpq+86RUvhSy7vAazePLWqerwuFW9SNf5rBlz2vOE4J8bqZDM+4aVKFXXmM5YtDqiv5G2X12EFauW0tt3ynIkugjh7orZswzYNYEA6gCaMQczrE3yivHx9eZekIn/1LRdt+CQLcK0yW0UAffd6jUcNLsvNvF9Z29uVWnFmIfarDORX+Xvgy+pynIIvrRZ0Wev74SgChJEfjNVtQPJghe5JYuTjgsnl8uZTtCttF+tfCV0hrzw2p1gfxqafHm+CFsGXVG/eGoT1els61qsuVzDWE4g/60Zv5KdK+pwyJ/PO2Qcdmt09OSULmk59YpPtmGpPC8JEYP5J2rgN2zaAGV4vfbJ1XYCnPh3MkWYAw7uhAai7F9Uop9aG7s1Sec31esrS0AWUbztOwJfZ5WiVacn6aPWUF8x3YVrOT2c/0p2kALEAacH4iCEmJETFFsgbMStw08DFyjN2ilY+vXf1awq+9LW2uufG0OI6rPXYWKaupcltnPKyGaBnllMrw1p/JrRZdc0Ktp8of7bkc2W8x/Vf6NWomCVtMyDMJfe4QmfUsVFtGsCq/fEaxJaUd0bN9X4BaHu/Om/EtfVr3i/pacrWlXkt4An5rcD2sK5Yzwo+rsJXzetVA6/Wcg1lte7KiXLluGBgyr1g5GGqUl4ATwlbEq5kl2PuCQtxaadpy0+PN04TDzpzoiDmvtR20mnQCzsSmMKNuMezVOn+ymY1jLXU296GVhkeY6FHy1UwnceCr2bXrV5uOSgaTosqg0sI8xnzLsnTtGUbtmkAA5DBVvFGpF8e88w+4c+L1t3eL90MC5Km1ACv1jqLYsaMOsyhMORbkjo2DFgPvmqS61kwRpR7wVQ3ZDEumH4jMjzud5x38vgzlIdLekoCoPn5U03Pll/hvhFi9YsFZqfSvdgDYYtfOLKmG+UV8V8zuttMKBAwWnRpWtvc2c7FWtNz2LueABopDV6tbe31FDZDfBqKzWSVICHsRG3Zhm0fwIAIWUHh7cc5T1dlvut1VCe7FWsyIMoCr6r3a2Zd023hEpiMNx6XwlfPmGexGOmVCuVYXZXdBSIZFu8FK5bHP299WKWLfPINSR0HJiHslOZu+elxl1ClR8fq7psVa8SVdENm96FRZ1HMJEi02xhXr5Rjtm9qH9Suq1O8Vmur1R2q4cvyRnbWsejNT2OVaK+MLsml2roN2zyAFSdHx7GwjvnSY3h2Tmt4rqp1N71OdlmWQvdYF5TNBkMVnM+hTukJS3nlegBOAi+9TgFiAcKUF0yuZ3nBsjci9U2st3kaxGRabX6pGGdwBew6pya9BhVvGNCx3px0tax6o7cgQS5W3qupLrCWV2/ycjgRJKplTWjNS6y67b3gBZWuy1P7aLKcoiH1ugpv2BrauA2bfN4notcQ0UeI6L0i7X8mop8koh8nojcR0Sf79GcQ0W8S0bv93z8R63w+Eb2HiD5ARH+fqDfIptW4NKmPgTnkxFYUYUT81m64Eo5qkCSWW/V05c2We2+ZHIDVUBlbZgGhBK4AVzUrMwO+mNt/av18qAu7ejOuTYCkfuOUpqBV5CFfTnbMgXg8inRMHKdOTe2miV23CV1rG6bbusb+vQwvzRR8UeVPLWP1F5cNdp7Qs2GuM+NPlzG7TLHtk2UB8kJf9jdRX6zDOh6N9jfT9fTUedK4Z8R7mixmJVuyZfvV0+HyWgDPU2lvB/A5zPxfAfhpAN8glv0sMz/b//1lkf4qAH8JwDP9ny5zmYwLQluxJiAbN7ZFYvV7Js266U4BWU/eBaoG4APxzUft/ZqM++qFr96rrAJiWTtlvUrlp5p0WXa1ErTqeWCDsDG9ynk79297ei2usw0TWu1hvqecJQ+olr2V9Ynli8BGA9KQg0g1jeA+Wt8JXVOwMwlWAxftOAWgeurrqcM8Hh3H8WQZ95PWA/+qELZh+zUJYMz8wwA+rtJ+gJkv/Ow7ATy1VQYRPRnAb2XmdzIzA3g9gD+9qMWyHRbJVxtxam26woU3v5VO+i4vlZlulVUpSL/9WKsnA4YZO0VDzBR8tdrdAq/WI9AcYFPtLDTW2uXBq/WyQMtAqLS0f9a0oDdX19mGnVXW6WF5O6xlE54foH6zb0HOFJDpdXMIKfNpOOkFmLb3qw06PLTXn/SG9e5rvW+GzvIrx6Oad+I4z3Yu6AdFPa+aeSfrlJDjoK8C8P1i/jOI6D8S0b8loj/i054C4EMiz4d82irS9yF5YRcn/RWJxYm96n0zgk8dyuamW6BWdCcuffPQUHf8VjZ0hYIcrZbP2VrGAf5Oe0SqfSi8qdqTomW4ONRTWXeW3Gc85v7dQF25DVusqcPRY/8WeEOsm30Tnipwk8GMAVJVQFDeril4muOJa4LOhJet+w8L1+upXxyX1uVaQGGPph4QGw/rRQwr1rglb9t+nRSET0R/C8AFgO/ySY8AeDoz/xIRfT6Af0VEn72g3AcAPAAAT3/60ycyp8l4ATbyNIticUIy5WU1z+T8l3R6pTIG2V40aqxb8WJV8xk395ZXa45Xr/B+mW1IHqCs+1GDzoyuxyZ81QBKA6MMtAdgBdtbys4RACGqNHz/MUuvFSW3kcnOF0ErBPz7urNlJ/KXbMsdqnPYsNn2a8YxWHT/sNaplGOVX5zzRlkJyMTb58Y65qYWT3vltFm/NNF+P7K1P/W6p9yD9f2mlq332Wvh8ewpf9L5wEa+amGijDBde3BE49apy1lDG7ZhiwGMiP4CgD8J4Iu8Sx7M/CiAR/30u4joZwF8FoCHkbv4n+rTTDHzgwAeBID777+/b/dOnUThQu4q7BI1wwDruKm698ry+nRctL3tGGt1pwFYeyExK7cGX1memfBV89TpYScEfLUGTk3r+zHBis8ZUQFfFJxt4Y9Q5GlJgpaGsJNOaMa1eyK8TJ3Lhi22X+KGaF0/xaFaAcZ6Dn8NforyAnw1AKzL3mnoskCCs5+4jCaur+7TfeoYTJRjgmCjrrlitR8WlV08SM5pQH9WEud1tu4apmfjNmxRFyQRPQ/A/w3An2Lm3xDp9xHRwU//TrhA1Z9j5kcA/CoRfaF/c+iFAL7vlIb/3r/9SvNCL7ofa8emi/rrmebGfzXzn3D+LOp+ZLkeoxfOZOD5SbFfWfs61ltjoFVRXxFsL/N1vA3Zq1agvZWvuS8qsH2yeMHfDdBV27Df/bJXTnYPyekmfE11SenuKavMOWUouxt6HjR8LenGk91/xTISp2FI112RQ6qjq96hLCMra5hud7V7c63uytbfVB1Tx7f3+Lek7ELN5hX2cC17smH7NekBI6LvAfAcAE8kog8B+Ca4N4buAfB2/yb2O/3bQn8UwDcT0W2429dfZuYQ/Pq1cG8jPQ4u3kLGXKyj6pF3P6zmuzSTrmPumR6K2lPvUjXBa2YZcp2q9yvk7417kpLrrNX1OPG2pDkGWM0L1tE1mdV7UOtXFPavPMWa3YraeK2ieef3FnXtbRgheWzkKV47NPrGOUNdXrSQ1vHQaIZ9SBBptUOXb2xXy2ZHTzCpxbrs2rpG3WaTVaL2ulXbBaNtFZ10Obfa3rnuZCNqhetD3/nACcy+tbZKXKugS9ckgDHzVxjJ31nJ+0YAb6wsewjA58xqXatdlP9O5q8tOPXYzQGtHnfxKVei8lLl6f3FWB6tOeVm3rU5dTaXrwdfehkTpQFYZUyYlgFiclDWZhdm2B+jJ22m6rkbIMyEsQUGr6lr9kR4Dl1XG2aqZQMa8DT7ZtYDcVMABcQT0Ox50BCli6yUX0CXsZ1F7Fezoo50XXfPMWiVJSC2aNuCdsU8jXK66mlVa7WhVd6ULWoBtpV/qTZswzY/En5N2ggAjekza03PVrX8Wh1TgMRyvlJOcaEpMuD2x7dnqzLmVzNvUM84YXGhAiY5Cn5IH6noqK8FJZsB+iP783CmJ1UabnFsWC87VRs2XjdK8uY65cGpgdecU2wK3iYj7zEJX2y0iaszql36AVsZ0fxlKSNLB4zpzaOOdcx1W8FioWdjyqtoPe+1vJO1qmuQVql3sjmdHrJJ+NJpa95/N2zDbgyAtQxRzd1srrtKY2oVV9IWagq8am8mzq5jxvq2R4xPiqdaOjREE77kPFHZ5ejTs7w9EFUJxG+vo/6m8kJC2AknL5+4/q7zacKDU7V3PadoAXRsL/PptQdIK+argK9OL5FOK8Cruj/Sw6Dr1pzoj2s8DRf7peWiVu2d0y7dhCoAd4iNBhQpc20RzENSHi8Be7NDaGQZp2jjNmzbANbxhJCln+Kyb7Wh58mAjTSdb4a7d9bTyER66QWzB2DtHvurWs8K9NkqY42xyZQXrEiTIDYyMBgnko8DA8RxZeRvQsY/A+zEORPfoDyTzln2rplqeUks21UBr0nbVgUuO7v5xt0UeMllRr154GOjjVPAKeCCWKxneYaUJvmqgyimhufIyjKBrGasJ6tO7vAiOa2ced+myrLqZeOwt7y1c3XmW8J117YBLGgGTLWe/ooM1cFMFkpWxZTdnCfVcaKbcVpW3SLvubpHTx3QtEsTsV29eQMEWV4wZyuNp0yWNlR9nFumL/1coAXcCub3ccC2q8m3ois3xAK+TDBrH9QpgGu2yyrL8HpNerCmTl4JXq12Ki9Ml2dlYltLT9iycnSbsuxzPHFW1TWwUlCmPWTVajshLVZrQFjmBTsVzOZowzZsuwB2Cg+1DFTLfbQUwia8X638Xct7Ia5HwvulY8XW0Lnj4VaR5QUDkrcqAhvAFS/YHPjKQFwMvFrLy0AGYSdpw+77G62Wx0b9Wl4m821HfdO21l/SRgu+iKfLr3Rbmd6uVlmZBywU0mivoaY3zAKyyvFpXY/mm59mpdbKRllyFQs8M48gmeuZ1VueTllssD1TEHZZ2rAN2y6ABVlPgGKZNAytdVMhJ7Sjta7yfpnLF3ik5rz2a7YlLD+HN6zqjTuhogBAerrZjs48LWDSUKa6ImnwT5sU6hNlhUB8JuEtS/vdMqYRss5szDYBxLum4UuDVwNiqmXOlWFfJXz1lF9AiQWOKLezXlagsTz70jir/KWavOzJ/LGemddZJ/DFZUa9BYz2NqDydnYBosEb1oKwS/KCbdmGbR/AZqjrjaHWE9SJymI3hdejFeR69pPr7Df40ytg3z14VWqNCVa++SiWh2OsjePoVmx5yGQPDflPFrFedrL3a4Uydi3TDA9NbeyuSfhqPZzq+sQp28Njsfkt+KoBWKuSWpungvFlPrFvW963ehlqXl54cr5XAmp6WTcLEau1RxdobHfXG5hSlZCcZnm9oHUOW7NxG3ZzAazzTJ+kfVYLTnV3dvmAseyEDjAnfmednGfuftRtzWYlbAbP1oB1AutPkRkkz5BdkVquaxIxEL+vHkzv59WPA51+Pu9aT1P00/Di9HVP1svLHPQTzdTgloGghC+jDSZQTEGXUedk+1obMXsfq/Lm2udGTNZkEXrfhfp1HTJ9CsQmK5Vl5oVl3i14ExjqFl6vy+uK3LYN2zSA1S7W9pspfW7ncwYTTjYhPOxdI7JvjYA/qauGKEtzRrcPqsSGhViw4tuQS9qivKSTu3wNL9iuy5fe75ZXobW6BS01+KrAS3Ho55y6lhduAr6sebvsDvA69Z5rrM/N2GCA9JubtezNY7jwglNdg837k5E2C4haHkAJYT5vhLBaWRvvxTmnNg1gp6plDKYg7GTCX9l1ellddGfziF0TnfTmIpB5MdL3MmneLtMQNss9MVM3+FhuSnM8FC0tga+FYFOFL2v5XFltKmCuXi5NbEh13eY9Ibd9RR1THqqJ8usVI+1D0SW4BMKABYdDlpW9/q3quAzYsrRhG3ZnAljNzQwU7ttze6Guk5fL1NRTXnc5V7ihVrD+KZDVIxWIHwPui3zoM8rX/TxRIqIPAvg1AEcAF8x8/9W26HrJDLXRN1RxwzxbL8tM+DKH8Wl0Ka7WngzsGvDEE3la9U2lq2uVxUVJTDZ41cqZqt8qI4BYL4TVil1yX1Pl6zKqZqx2qDZmz86lmwdgSy/+cAZNncg91nDuk8DSk/HMTxzBq1YbgPU6X0SrBO4v6aacLBP9BlipCL5fY/+f9xj+MWb+2Flr2KrUzTVzcARbZN6A3S+hYoZ8nmimKnfGWLxcbuQ9NZyjWy2Ii169Stdkq5xT2tBarvZbaBtJ71DIN7cena8A84570NrgM3O92pv3Z7lnXOP70JSs0Y42o+YrxqtXdubyp06ic51kvdtV9YRdo7O/dTavCVKhLEpPoquUF+dPLK9Xvnt09t+u9cTiD+IGJUGdVbrS5M2usi7J/EaeLvhqeHgW32ynvHIWrNX+euube1r3eueWlN2qq0eVc2T28VDnpkujWF5WPqy8+S/pctawJ0tsWIeI6HlE9FNE9AEieulpjaxr0wC2uvQJhMu93ywOkgROi1uK5eZlzBpIFNPtLy5aAW/LjXW9jbP2yan7byBX39JiOm4a5zgXg2Ge89cpBvADRPQuInpg/ZbfQHn7k+1nC8KydbI+sWK6B8IyELPWnaOpNk6pkpU18PVC1lSeM3jMuro/W9A4FyCzylU11fOm4y/mzeFFPyQUPGwAfVonL2cNj9ja9ouIDgD+EYAvAfAsAF9BRM86vaWlttsFKV3AQdp9HtIqJ/JiD9o5gzJqF8sZ1YwJkAav1Y4x7MwcrFbXWoO41oqfCWL1cYZOPz+irVrjKbpayaK1nkhED4n5B5n5QZXnDzPzw0T02wG8nYh+kpl/eGkz7yh522Z1I8o4cMKEGaqVo4+5eG5gmad6bpfer6IdRd0tI1OrZ172rrLYSFur/Mx7yPW3JufUq4/blB0Oq9XyVNPFCabTrDJ1OeLhwfbo2p6zaxpG8QUAPsDMPwcARPQGAM8H8BNrV9TlASOi1xDRR4jovSLtU4no7UT0M/73U3w6EdHf9667HyeizxPrvMjn/xkietFaG2GebBrGGif9dY5lqj69nEnWfuIlftIV29gEOr1MtbUAKqISjmqw1IIouSx4v2KdlbpnqN39o34vXx9j5vvFn4YvMPPD/vcjAN4EZ9SuRNfdfpmyPFiNy6DaRVnzhOk8kqmmvG56dQu+ujI2lMGd4f1aqrUfaEhNW+2uLK/mW1M1r5aruOyWM9IKj6w8P0RaN3zV2nN99BQAvyDmP+TTVlfvrfW1AJ6n0l4K4B3M/EwA7/DzgHPbPdP/PQDgVYAzeAC+CcAfgDPG3xSM3qXLOPBd7skZUHeqqPMEPUsbVirTBKfrEjMWQGwOJE1dLYSiPBPCJqq87G7vM7jwn0BEnxSmATwXwHvba51Vr8U1s19d+1bfyHrVA2HmDdnnU2Vk9fd2r1n1ArNP7rPCyVpq9MT0tp+Ji7+ivAz22K830Ra7MhOwmuekBjkFX1DT7v7l6ql1qa8FYQvs1xOJ6CHxd2UhEl1dkMz8w0T0DJX8fADP8dOvA/BDAP6mT389MzOAdxLRJxPRk33etzPzxwGAiN4OZxS/57RNMNR1Etr5dLfkFq7/qE73dM+6lzeS8RmkRtDvfSMywlLnY0mz+3HI85njMrXaEPKSSztbV+R5aO9JAN5EbltuAfhuZn7rOSrq0ZbsVxHdULFTs+XLKXqYwjzl+eK0XJY1VJSBRj6zLSd0R5ptaZR1WU8zDdtbdEeqZTW11lsko6zmYWgBepg3IDvAl+l1XfpQ0dL8ffSxiWFxHgbwNDH/VJ+2uk6JAXsSMz/ip38RzugCdffd2dx6i8/RhnHbKnycAk7FugQwrvY7jE3NaNcUhFW7C6c8ZDL4nqi8ISnv/uo6pcwzdQP42Infv37Jq+ra2C+tVUJMLdum0rJ69DLkp0aWtxe+LoN9pozd4kDfJW1BDq0Z7C6Dqbheo+zOgoqk7ngswxlXersguiEN+DK9oT0Nn9B5bNiPAXgmEX0GHHi9AMCfW70WrBSEz8xMtB6yeJfgAwDw9Kc/fV5b5p7jaz1hbklzL2ACeMBpnyO6bBnfkQyQpUEsg6/guVoKZGaZvevIeup5Vr2XbOV4nlFXYr/Ug05RxhoQVqt3Qbm6LdVz1Si77CZTu7p6riuXy9xyNEGajVlZExDWtT5Qvy6z8t1JYj10x7SQX51Qk/DV2rUT8FXNp8td64pb2YYx8wURvQTA2+C+6PsaZn7furU4nTIMxYe9ax7+9yM+vea+63brMfODIcD3vvvus2vvuY42AFayaylOX6UmACN5e0J7vddHQwY1vEpmuRN1LlHl7HZdeulvum1626a8YsZ6k/tVlp9+s67H4gbUbkaPzhEDthFdrf06t+aeG9q7ZZVBnM7JsNw4P6vDLukTSJ/TFmj1wFfNblrXzWWcxLLO2rXbWgf5dAGielqnWR5KoL7dc+FLFmcUKaHMmpfAtsahOIf9Yua3MPNnMfNnMvO3nN5KW6cA2JsBvMhPvwjA94n0F/q3ib4QwK94V//bADyXiD7FB68+16ctln55I1sWJq6bt4C4K57n3A9qLfBYWnfYribUnGNA1JbmnOEz8ppvi3ogrUrsmxDXtdij5df5qf/pry1YWYgX/N0MXbn9aql2ThQPbFb+1vlkrVODr+xBS8AXlcuzc7l691ProiwrwQNPw9dUOS0QWnJnnntX79nW1n1A7w+ZLtuExrG0thvK7rRNVpLlxfLz1V0wAV7v/zsn2i9R7hbtV1cXJBF9D4DnwL098CG4t4FeAeB7ieirAfw8gC/32d8C4EsBfADAbwD4iwDAzB8nopfD9a8CwDeHgNaT1GF4ul7pX1L1zIM5Oz6LcHUnDCXP9blkxmWFsbpqY3Z1jOVVKIBV5ZNKWZ5Qh/zVy2PatOWaPayHXq+4+Rhpp+iaGaRz6Drar1oXo/VWW3kTVQWp/Oa0VYfKmz201sBLrJfKMTw0lqxzuWibKqu2rT37IjRS5mGj3rDaKcauVndcbqzDjWV6Obt9Q9EwizwBqkKius+U1XBsX9ZVKTNPaPaukt6wGfXMKXuL6n0L8isqi77IyMsAXlwp5zUAXtPdupZ6jVCW3plvSktcFgthqgvadNm9dV0y4FW3ZaA0kGuxDMBYgTVgHpCd4bsPMgA/S8vydBam8skbZW24nlN0w7oUq7qW9ssqf+JBUUKQ6f2a8GjUwAvIvV4FeIllsZypbrGJc7P5QW1r/RqYTdp0XY++yKx1VpB+erUObi+wWpvA1nTKyKAEYgHgimpzcLNArHf3XNVb81u3YdsdCR847cI5x0XXqmvNk+QywYlw+puQA4BRgZKxDd0X8RIvWK9a43jN7T61bpK1fL15O5bP0mW9pr8rl+9hC7vf8nzFdO2Binm4CV/modVeLJle83q1wEuXNyfQvCe9xyM2A/wKoyMPQijzHNcEcWmz59QjvWDSq1cjJF8f++0jWYYoMhUS7Hxe35o6i/cL2LQN2yyA1QxWF1gtOV7nuN/XnnCsfGfijX7oQf+bkAHawDa8CYDq6oa0vGASwgIYnfqZotb8GtI3CirrKV/1V2OAzbrZdGjDT483Vgq+9DHPQEjkt7xjtW6/k8CrBV1z7HBLzWD9zm5KqyGWLS28aPrJcKKtljTYWXVbUJbVS/l6NQhrtsHVw4wuEPOdnHl9IY9of3bfOOP9qUsbtmGbBbCg/u6dqzlKGnDcdcPZ00bxQGM19Zwn+cyymRxcAeHi9Fs0EHjk+q4mn29uN6SuuwZaczxjHS8KmAOzdr4BmeYNI1wpItbXcxNbiQ+37L6/kTLgqxl4X4OvCoSZ4AWY8KWXybpOhq7WiVd9uJ7uhiwuzwAfury53idgvv21AEvX3bS96gZRg7AM6trtyUAsr8WnTUDYVJtJrI88n74XrmV7tmzDtg1gyuh0XVMr3bgWqRd0evJZF94JJ+I5+/CZCDRwHgRP6jFMt6PiBctkAZe2wFm358TBb8Rx5cvaxRTrdwxBUfXoivnytf7pduy6pqp1HaECX1LyTWqIfEjz8pdr6YTl4NWCrt6gfN0uc1mjm9ECL8OIkQVcFpjNbWePIbDgTYOZ1T4BP7FbVFFTzROm4bgcyFWAmASk2FwbwlJbddtDveXuz5q3YVA6l7YNYCsqentPPEmqTwoLAMn0nnWWsQioqOGBW6DoKatBlszHPO0Fq3VFAnXPV09XYivuq+b9st6AnBiCIq+jAlSU5zE9ZlbaUu1G8erUgLBCEZK4OGeqQxCgkm6Bl6ojW6cHvOaAWY9aDyS+HBO6avszdjeIpLnXkAFx2eLW5mnIKkBG28mC9sRNSqbW7F6Zh6BADMpbhTaEsTgtinvFgvvbatqwDbvzAMwwetqtf61dmhNPHOvU0egq7FB86tHr62B84QWTUFX1gmV1qK7IJYH5hgWeGhU/P1f8hlqfIFJ5Q34eDO+aWCesV64LG9BOEV/zc/2myzh+za5HIy6qCV8WeAElfDXAy63HRVmxnCJNLatsp6kpeAqzug7JNVMntLx+5l5A1tgOVrsA++IMw0XkfX45WAk4ionxnsVl3tYmyGPmPWZgBWJcdktOQpi+B0HP52CXNXNte7NxG7ZtAPNHNnpo2T7vXd6VaKX3ol3riWCqnOxi0FByYhvmrE8pDqzwYhGgg/GrQZydXjBXxgkQNhe+Oj8tNGsICvFVgZC3iOupwNhqL/5s2HjdOHUc01pgfsvrZYKXWC+Dr2w9zvLlba14vHo8YbqMCWWXlAF21IC9loN80denFDxVIc7wuGVtEuvlXixdnj8uMb8mH5HcA2OiPu37sqFJQVhYppoDPV9R9eH8FG3Yhm0WwAroCmeMcSIWYCbyWNfP2p6lU8s7pSvyMlzDrfYUkGR5wYw3IptesCkIA2oWt9rGTBX4qnm/Yp6su1LmRWkc1XIrAN96AzK/ea7xQHF6EbsWSJ8fMl2CuAAkDV/FvCw3y5OgaHWv1xR41WKyemSd32JdC7xqsHbyS82q+y+Zrzpo5fmtm5JoGyfcyVZMDVBp6qbWvU9lCWUH5CSEhQWiPIZxf0L+opml/SFywwAGQECXJpT8fp25ek956pmSh52ph5G1VfUmWcuXlI2yzKgK4FnraVia8oIV7e6FsJC3Q5PxXhq+hvL7kVZXY9yOrE3iD8qTpW68RdcSyrQ1DNiW3fc3QjUQ88vMuC+k8yTOy7Ky82ee18uVrdIhyhJlZGmqfrms6sGqqXFe17xdVjxY0Xzirm5HWUfMH7oPZX0KgFrOdwvUOGth7pWyQazhDZujis2OtVCqtQZhuisya6qRpiFtTW3Zhm0XwJTHixgxSLDW/T7nPJ2ClpMPOk0/IeT5UZ7YlXmz7RMX3ZRsyKmUqboRi2B84QVzF3uyXs1xwYp6kEEYgHLdxvYUZcn6xK8JX+SWs/9FiO3ScFT1uoXlKNYpupmMG+ilEv6us8iKG4zp1vHVcO7TTPha6vVSaW5+mddrTpB8V3egWtcCuywpto/LtKmqKEBG7toh5FCmnw9lXrtg5T2LXJbTiwli0d5yPi8D+DMoNJ7ERTtC+UUY/pwb5RzAOvEedBO1XQBDgqpWF6M5v1SNiyp7YGmBEqY9Vt2aue7JXauEOBhrbXT80muVt7E9mCr7659AA3IvWC0gXw1P0QNiq8KXFNUgzKWHAPzSk2V1NVK8YVpdT9Wb9FztBvF6qTin2D7W4TyR68yBLwu8kKeH+rN2kZGWLa/AV7ysKifcxLlsPsdUvF0avGiq7o462RuiCGX+Is6AzGibVWPe5RjaH/J3gFgoPzv4yNazN6gTrqivKzJ7K7JX54CwDduw7QKY8oBlaX463qsX3Khmg4p1Yp2S1llHFeZqZRqAqHel+1Wg0yMFR00Yy7xXlW2oBeRPQJgrs/Ogd8JXtg16jC/1ZiNTWqdq73Qd4mZpesIkjAHpRnqK+EQg37VcGtJFWpiud0na5Z0EX+qhwE0bHrGO/JPwZfFK9TqxT9Bi12QQaYNXc5SYxoXATL77MpieBGNx3cqFXgO0sN8TYIX8HSAmAC43+LKC6uYUDSy8YMErR9attd5zU+S/DNuycRu2WQALXY7xhh1dYer8PFWVgzvlTVrL6dYlAS1mILtuG4VV2t94PMljZnVDWt2M2gvWE5Cv1wMSSOnBWqvtU/MT8CU9W3G56nosvF+Zx0z9yToa0FWCl5F2ijZsvG6SqiBWEwkHiD4XOuBrciT7OfBlBbtPwFcBQ1awfpEilpkB+m3wSvNzPWHeDjFlMCZbWB2PK6xvBvFVQMx72VgSjekRk2UKENNOiWrDGsunvGXBXrE4lj279Rz2ZsM2bLMAFiTPk+ycuQQCmupuK/JiYnnHidSVT7ajdZH1qHP9Zrtq7QmeK1LjjmV5cpBrQlgoM8iCMQ1eoRzx24QvFfcVJLsMM+9XADMlK8geMr+ErArArXJ+b9h4bV7G8TPvefKYN8vjefA1BX0ayHrAS6Yb8GXGhRnVNyGp5hXT9fk0DV76cpwCMhY3lRTIL0HM2gJVBirbK0GMyZm0mCeBX7SJAthKCEPIVEzOus61zdfFLbUZ57I1G7Zh2wYwcYJF+NIn3YKbVB0kyqeCroD3Xgg6AZa6AWjtsify59MVL5hcDwmqqt68KQgLsmBLayl8xTZTfo4NIo+86Yn4LyumS99ka92Pa8Z/hXvzritWDagpf/sxAysgOzcWw5cJXgq2TG+ZATNGPhJlafjKVtUnYuPEtLoS9foSxmqeMLNesz72nq8AYzmIpTzNUrK5NBZXSKD+bkkPYgnCfEmSkCS01WQtU+vY97dybLCr0tZt2HYBrBO0TmQPo8BOCFtcPqYbTPEarK6r23RyG1vtqi2T3iuZR04LL5gVkC/LaUJY0JKBWIugfAFfIk922I2ux+TVSnnzwP3wl2BPr9uO+wp/4qZ6qjZsvLasqe7jU7uXazFfgJg2gK9YXumK7AKvbD7PSzKPKmNJrFbNq0WirYUnzChn8MtGfQBU+0oQs0ssxgtLpbjlEsQsb1i4t3EqQ8aHNbskM88Zuu4rs+1BZZ0enl7tnrlhG9bjIzBFRL+biN4t/n6ViP4qEb2MiB4W6V8q1vkGIvoAEf0UEX3xKltg7fxzH5AzI3e38TWfXhvLTzbqHhYGZOCR12EYIclH2nvUyBvrAOygdvtRuO/PKMNsJ6HMX4OvwfBwUen9KqBK1q/By/iLZZRbP0/s79Ez/26Kro0NW1MNMK8OrgrU4Ss79ziHr3hSpDzS42TBV8wa86Qy0x+bf8Og8/nLcdD5RjEf2iDy+DYMxMVfkE6X7ZZl19obd2vF9Oj2QXrqjP0ij2u2f6V3T4PwFPVktmdFQmI1rTl7TRuycfu12APGzD8F4NkAQEQHAA8DeBOAvwjglcz8rTI/ET0LwAsAfDaATwPwg0T0Wcx8XNqGwhm1wM2jy6g8qJQnTcjYQ0tLDnrv08hEvtU9YZ2arEe223iLUXq49Me6C08Y0O/5kuWr9rq2yJMh5SuC7rUG1T3p4SzAqumFMEAr97rleUwoO1XXzCBdpq6DDVtNVDFF8Ryyb7xu3vZyWZ6w7EYvT9VK+TJ/AV5huVq/p4uxlU5Gu7TXa1DpU4rv+MiA41SL//X2ygfq1+VtSvRq+Xnh2wL7jkfLGwaAIIP0RZ7g7or2UczX7hW99xpLej0NWzL9XCC2YRu2VhfkFwH4WWb+ear7j58P4A3M/CiA/0REHwDwBQD+/UptWKwAYR3XjA1iTPn653S3Gioha+VvQvYoXOO6nlo3pFmGszI5YMHblwaEhXUXKO9WDLBFkDcRHfcV2lXtehTLIoiRKCfCVIK1ok0kpkOecDPbAewculY2rHi4NDOFc6VicArQapdVwJeYJ70szBrgZXVPRvgywGsqKL6327G1bgu85FuOctoqJwMxUUaIEfNzZntDmZQZN5efJUCFdsguSSB1N3qYymPDxAkjoM4M+5An14pQlgMXFekaula7J27Yhi3uglR6AYDvEfMvIaIfJ6LXENGn+LSnAPgFkedDPm0d5Q9WjXzqxETnejEjTEN2LsDqDrieMrbUWNZRtgaLU7oh8/RGYxSgWN2RS2NlinVPifsayAAlxK5H0X/h0pRXjNVvlq7LDH9Yvu1Sc933182Fv6Ku3oZptQ5wY1HzvCiu1RK2ctjn5MUS8BW72sS5mfXuh3XDYtWllncp1roP53U7FuuK+oESvsruwnza7lLkWJbcNrtrMjeFujz5ckDWJRn3VQ6PGl7lsQjHqzCnlNbLCytV/QRVdQVjWtoIztNjE9b0fmHb9utkACOiuwH8KQD/i096FYDPhHPtPwLg2xaU+QARPURED330ox+dzt/pcZq784t4nayw+WWdoiVvvuk6izeqFpTRFFXqUN9EtLvwQhkJruR8DcJC3rl/qV4q4YtEvaENHV2PElIlZNltoKwtzfgvlHkKw7prsda2YXPt11w1j7pxiprxPcA0fAFFl6MGrww0xF1Ow4mEgwQpPTFeVixYHbTkXxHHpcshmH/mrlLgFOoNu9xangNWDmQWtMl9E46HjFuLxwiAhjB5TNOx0MvEr4ayU+5PNcgKv3o5Y3UI26rW8IB9CYD/wMwfBgBm/jAzH5l5BPBqOBc94OIrnibWe6pPK8TMDzLz/cx8/3333deuvecg1g52ZV0LuuZ6W2adz+LGO3kxNNrRBYrUWGatPrV/qe0FK9o0s35LGYTVLGZLyto6GCrhq7vrEeLYIf3mnxii8g6h/8xtVedexzqzxAv+bp5WtWGz7Neaal3/xo06vxYb8BVhqwQvE7qQg1fyfEkP0XQwuwYtHURfA62BGIfauhQ8WPXdOAVicjqDMKCox/ai5SCW8qGYhlweDqMBYfHYZI0tj2lxzBequaruZRKep+iFWtOWbNh+rQFgXwHhuieiJ4tlXwbgvX76zQBeQET3ENFnAHgmgB89qWa1M7vPpwZJTUFWc/mCg9uEqSUgZqS12jz1yR5r3awbUtedwYJYeSAFLFRO93jBMrhRINb7B6MMCUp6u6e6HicC71veL87ylN+EzNvGWffjyV2QS+DrmhmwlXR1NmwlzX74kmlT8IV0g9fgVZyqCrxCWTZo2eBVA60acFXXb3i8ZFtr3Y01ELMgTIOYLt+ez8uzIIyyY5LqKCBMHU/TrGuvV7Ee8m7IDvsSt5XzX8vrpX9P4L+kjduvk4LwiegJAP4EgK8RyX+XiJ4Nt6kfDMuY+X1E9L0AfgLABYAXr/YGZNixPScMV4wVVrihzVWrMd1loDypJtLKAHYj/8z6GHngv6yjWd9E3XFdIqRBdeS2uP3X+qRSXp7a33LWAr9a16NqY9X7Fcqp3U0I5ZuSEs6Qp6V544l3gVYxghvWVdqw1dQDX9kyBVz6khDpETYCDPj188tG3thLMJBer9q8bvJQOTHJSNdpLe+Wtf5AnI37FfKEoPlQXv5BDs6C6pkpG0NMNoFVvelzRuntxjTvbmR5GiDHC2Nfvh49P74ZmW2wuDGymGexvBlr2HGPUnClYWwSzk7Ulm3YSQDGzL8O4P+g0r6ykf9bAHzLKXWmwuCMgnV+hHNOQ1knpEXpdVdUASVTeVttMCDGGmm+BT5mHRJ6KvXyAFD8qLYbmxm+HFemKGMg8MgCzIyR8Y2BWTMIA7zFQqwnrD9LBniFumLakOef7f1CAqke7xdUui7HBLhTdQbjRUTPA/AdAA4A/hkzv2L9WtbRldqwKVkGQh9zlYepTOury63XhC8FSqTurBq6ZFoLvsJqErosUKqla+CqrZvy2xAWFGDMArEWhIW8uqwWjPmS4lIJYXmaN4d+f2kIK4tjkAe5LF3af6Dr+i/uVbqL0VzJLp+8s4R4RXC6UwHsWkgcUGaks0VAWDp55XoTBNR7c6s8HWTVaUAygKm3qlqTzWUmmEEAULlOALH4sFRdV8BTgLDaxU35tx4L2PMVdkGYL88lcnmcWpBapFXAC4jwVRvtPsDXqbFfWbB+o+tSei2KuLATtPbTox9P6x/BeZU+BODHiOjNzPwT69a0fWXHjxrLwrzK34yvjOul88blEfNq2gzeNuCrBl46zkmm5QHp+Rt+raEhtKa6BFO+9oltrZNASwFUBlchPS/HAjFZVoS6UBcSwElPl4QwmeZrKyDMJXvYcjnqXjAW83FdX340ykD80NCSe1YWZ2L8VsDsFN2xHrCrVCBp6ya0pGevZQz7G4XyxBJpk56s3jpmlDEJZoSi+7BaL09MIwezcA1n4KXGBYt1tyAMQBgfDKK8DMRkO5vbkWfIj3sDvqSKwVqxmvcr84Jl5SPGf8Wb5LCC5VnfeH0BgA8w888BABG9AW78rB3ApOR9avKcbc9bcHaqh1TGfNXgq4Qstb6xzIIvnRfoB62Uv1w25QmT60nQCiq6FReAmC4nloU2hMl1ZTelhjAwQZrDCGG+hswLpu8dU1BVu9dYN1i2p4vux9o6p2gHsCtQoGkPGOznM7hfAGKz6q9pAsRWqX4KrCbSLS8Ui6yy7JrXrOYFi12RGXhShCiSXZE9EAaYIIbQzpndj6XnQCQo+Ep5UHQ9Jm+YeHrMgvor7RJQpaetrsYM7Goj6y+RfCJdT9ZYWX9g9VpuiqxjqGFKTGeHS3mrurof47nD2XTR9Uj56duCr5q3y02Xy0KxGr6y55qVvFq96x6Ii0tBfpxDDsDaA2JhuUyrecUsQ56Ay0ozIKxxs4sxZJbXS89b0EViWW03dtzfmjC2VOexYZemTQNY9IL5+bQsPDKk9CKGe87NyyD63tUoVti5jgajmap1UzbTISAoKAKZ3nGYN+235SQIA0wQC+2PTa7sM/NYF16tkFcaJeWdMsb8ivmMcb9iOfoPMi+ZsBU9XgOym2VKz2++S3QCwz2RiB4S8w8y84OntWYXgBKowq8GMQ1p+kAS7O7HzrpTGk/CV8vbFYsRXi+gDl8h7VSP1pT0plof4ZZQNiJ5sqwYMQmPNRizvGI1b5g0nlZahDCxPay7IpMx9ZmisRU3GU31vgYyuiFX1FoQdoINuxbaLIBJrxdIpeXn6Wmae6LEq2l6XQclscc9ry9cJ60yZoBdzK+al8Ee1ZdNesFIeME0UPlylkAYgDaIASaMldtuA1csQj/uh7QJ+NKfHMrXl3/lx7izLsdBzA+iHUV+jl6w6gCbc7SsiI8x8/2VZd3j/e1qKAKPTs9ncxBTwNUsP/wJ7xdQdD1mRU3AVzXuSxQxZPkDbKX1Wt9o7IUrXWdL1ge4JYSF6YE4mh79XcjaW5MuD7I8IV/cdlUWOrskoTFrwqOQvU8l7xsa7CrlBJtfe5C/Ul239szQZgFMux51NyQ4P2ma5ejllQMaT7w5HiajeNPNW9MEZJkesznlizLC85MEPwlNRXuMti2FsFScN2qR/CogBtgw1lILukIDZDpVzh0FX/KTQwmUEpj1/mXeryH8+W0eIOpCSjtRZzCmPwbgmX6crIfhPvHz51av5Qaq/QChLjWr+7FHAraKRQq+8vRp+KqBl/V2o4Qv6fWqecB6N6+mFrxp6Dtkni3OAugZ6AYxV3aqx4oXk0NYxDcmO7skNYSFrshJL1itq1EXradb+fQinW7dO9fygl0igBHRywD8JQDhExffyMxvWVreZgEsQFb4M49B4c5pl1czYr0HOEKYrFNdMxJu5mjyycOCIWsoCqtcGO0ivfuMNxnjtPJc6aEpFLxZEBY/sI2Qx4I3AWKADSCjmu/wdNWWxfOhEfelux4h8mVdkbGOlLcWlB/bJpZl3Y4D++6lFSzPysaLmS+I6CUA3gY3DMVrmPl969Zyg2TYpuwcsFaR6VTPl0kBW0ymxjIk+Er580E+p4aVqL3ZaHU5aviSTWoBlPRS9ao25EUWLO9/D5TeLBwlLAl4ku2wgvld2bLNZT4JdOzLqXVJunrcfECtKQrPvGDFQpQP8XNswyVC0DWo+5XM/K1rFLRZAMuIWpBC8oR5QpDL9FOkohoLLqr1ypV6Hj/nntCVMloAZ7a7sk7Nc5Z5wfRykW/OE1IWlN8LYRDesAqIxWqkVTGgrDX4at0LFsqrxH0J+JLDTvBg5BOglYNa+Zc8XwLurKEqBmTbsVhnMF7+iXDxU+EuJQ1cXi2zM/lh5QBeKk12Pepgeg1TGiACfFndjIB6eVhBjwVfGqgswBqZurxbNel6dZdkgKoROSCF+LAAaRaI6TqQ5Q1l5aClvW6tLknd7Uj+XtTtBQPkE+8696iWWP2uXe4GtV0AAxJ8eQXeyuYpP99CBoJKo3w9s67rog7osdKzzayBGpC6DqE8ZEu8YHMhDMjiwgrPl7Q5ou5JqSw1T5gErzhvxH1J+NLeqghSanmsR/yyXhciL7ErB877FQLyOQw/ceowFLlzY9dlyvB8TaoCYllaC7pq6yq4ypdpj5cNZtLz5dLtGK8gywNlwVfRFSnm9fAOvSo8TxrCspuKXJFBTBiYMPq/CF0dbWoF748ot8vqkrTGBpNeMEIJZvm2Cy+Yda/odSjIJohVi+W9joylWmbDTn2J6CVE9EIADwH4emb+5dkt8NougHECrtAdyeGEYnEeiRu5aZikp2yNZgUoESf3pK2lPBC/6X2K64htt9owtf5UOWTsOglesnwJWadCGCOOmB+KDjul6IKceQObhC4gBy/AhC89nQLoqQCxHMbE9EAZrFU9YCr+K3q+BsbPf9XfnLcDzJ1yehG7lkk/IM6595mFTebJ85WxXm7encqslrW7HoPktxndfAlYsgyZTqKMLL2ybT1vRdakPV1ADl6xbdLGeWlvGCN5y6w4MKtOazgL3S05hHxA7JKUZae8jTci5S466QRLRcxdLtPk9Hte+ddOakvU/NOg9RIRiOgHAfwOY9HfAvAqAC/3tb4cwLcB+KrZLfDaLIBJ+Ir7n8UyRg5X/iw2h6OQrtm56jihqzkaENW1XOYBjKcZxC7FqsdLpSePVxk/JmEpS7PatwTCgORhk12SkmAFiGXVVYIb2t2PIt0ArzhvApeGLRJw5fMPlIFXMYZXLFdCXPgT3q9YJmdxYGto94BdjYp7oTjHV7hPGhUaDQiTxFUjNbfrUXc5yjcbY11xuUhXaRq+5nq6ZDdgTxdlgC9r2wDgAB975YvVECbLsgZ1DbLGAktvRFLRJakhLLVJQVdIgzp5KKRSH6hUTrxsc2QeNmxIDcK4nF5Da9swZv7jXfUSvRrAvz6lrs0CGIB0EMMBJRSGLN7rJYOIszne1yWInSCSbWpm7MgzN28D2PKuxLK8ekyYvd6kF0ymKQjLtklCmHvMMyEMYbv0IYrtmTh2arHuaszSpuBrEPA1IIMvmV/CmIQ1ucyKByviv0L345Dm13gD0m3kSuXsmidvm7LLQNoxqGlrfqmoNp17v6a6HqvFE2eer5AG1N9unAKvXgBrBeTXytDwVYs1I2L33GNAWMjDav1WPJg10v7gCx9hQ1iICSvLS0AmY8HagYKNees+pqazksOTolxu7e6V4ato15lFRE9m5kf87JcBeO8p5W0XwCqgk7xfQHRxefqKs3I1n0+eLKs/fa6k7q5F0na84gUT+XtP4sILJqHPgjCzjLyrsgZhAGJcmAQxQByvmceq2+sVyp4BX1lQvtGtGLxiOqheri8HXs28Z6Riv1Z67Ns9YFckFg+F1jksXcs94FV1RaMrvfrRhgLEWC3LA++15rzd2ANfQ8VQjaiDV9aeyvo1+ApdizLWy4Iw+XZkkIaxrL1FF6R+szJBmGyHbKuErpSu04CGKU7g1IIvuVybHg1UlmniMn1Nu3PJNuzvEtGz4bbqgwC+5pTCtgtgQHlSBIMWjFugdGno4lOCcWJKT4usZmUga9nK0IbM5hrtqS2brFeVHeFJ1J+YqBwXrLYdepu64sEmIEzHhQGIg+mcfEymuhzDvqgMNxHhi8Q6Cr4yT1YGaOWyAshErJfl/aKVuiB3XY1M+yTsVtULhkZ6D6gFG0dGGpB5v6zBVZtFe9iyuh5rcV7ZMiPNDIwX9QEeYDoNYWs7rDbJ6QhZsCFMKnqshGTN1nAXcqzp2meMup6VSX+sGzA/0t0sIt2IQlMpwFrYGAVUWdeigC6z+3Gj5ouZv3LN8jYLYOHpMYJXOKgkjJggeHcC5idwHJZCAECqIK9LqnYem+Q/Y4Nc3FW5qOX5qkJVkdaGqVhWAwzzcgXBZjs1TU9BmFVHE8KA/F32Xo2iskqXo/Z6hfZn4JQNMUEFSOnA+mzae8+yIHtC2/sl0jh4vQYG+b+TtWFDuHmxuxZ4QBWcsh4k66KulDvHK0zZ3RUZfOk86Xde+bWhJVpvQrYC46vb0KlJL1nDm9eCMNfeXNIjJnebhjE9rpiDOspM11wVZnaK3iRchV8FXOF+G80lq3wQ+WRZqozVvFYbt2GbBTBAgVblQMceSHHyaQgDEktkFCPnVb1Afs4VbtkZMsFHAM/qJ5gsGyfUI+O1QpkKZrsGaTUAzoKwpSID2rTnK9Zdgy9jrK/cu5WnMQHIYItS+SK+S7/12PR+hXUHBu0xYJuWhC/5MMnKdgFpunhGlIDWVamGLf9T8XLNAa3JqsX0VFB+KzC+JxZsamywOWXpbkXdFZhBmIKoWtuAfH8wSgiL5YPiEBUDypgyqWxg1mhPJ06S0L0ogIlEGmW/yvsllyHPr+/HpJetaXc2bMNONuNE9EEieg8RvTuMrUFEn0pEbyein/G/n+LTiYj+PhF9gIh+nIg+b3HF6gSQf0B5sGmkLK1Yrss16im2fQ2aV9dG1gVm5OkyuJTKMQPJrTpabTPKY6tNlE+n5RbFqmWyTXFZqI/SX1EOTf7FWCoqy9RdiLFNGr70m41ZN2OZVsCX5flSXZBhrK9s+WB7v055BV8eAn3t9PzdJF2l/arZq8yrIG5usc2WfVJld4uyn0nvl0y3zkHZ/VjrhtRlh28wDiK/FRjfG4g/VMq16plTjrXMQVJebj4MR7kPpl5E0PttVclys/OI8jR5/mkYA4rztDh/YUNXlrbG5oh6tmi/1nqO/mPM/GwxtsZLAbyDmZ8J4B1+HgC+BMAz/d8DcGNqLJO1Qw24yk+ACoSF8tAAMRjzlXYtVuPsyMCrBVFGWgFhZrrxiwo8ZetT0T4LwuR89rFpXYdcV4MYUAKWWF77M8Gs0k4LvuQ+asGX+afhS4OYBWMh1kvOi3QigAb9zaWF4gV/N0+Xbr+07WnuV23jAGUQFtxYJEDpX8RLZLoYoIAOK0/QVKD9AG6+lTgFVRZgzVmnB9BqLwfo9eeAmIawJWIGmKmIbZ48lhryNXC1YKzIZ0+XILaiIdmw/VoLwLSeD+B1fvp1AP60SH89O70TwCcT0ZOXVJAdwApU6RMjnEgtCAMUN8yBMMtQdqrwbCkQKhuW0iyvVCxzYp3ZstY1Atg13GSeLtgQpvPEaQViBWDpvOqvDmY6nw1fcvDU5K0Kbc7hKYOzCnxBAlecl94vP93wfg2rjQPGs//uAJ3dfumbAimbVfWQwfiNZaaLgQqDEhao2XDJdd74l3ZLzon30uBilaHLngKpAHZTf73bINtOqv16u1pdqBaEhXWSF7H/+MyWhrUIWmTcO9X5OaZ8+jyO5++I8nxeGYS2bL/WADAG8ANE9C4iesCnPUmMlfGLAJ7kp58C4BfEuh/yactqrVB2Nh1OAECcQJSVswqEVY4rtZZXjJkJY63lzYrFOgZ0FV4wsz1kL5dpp0KYlUe2twJXXfmMtw01eE3BF9TAq+2hJhCHm7C7GtP2B9BKbzmKPFbsFwE0jOsA2Nwnx2v4BLmCrsR+GU4n24sluyEhTnNj/e66lR1YyFSzNde7U+sC7PZUVcBqoDH761lnqp3xDdCwvmrflDfM2m6tpRCWMYfuatRpGrTCckaz67Hl8ZIQFrxfq/Hkxu3XGkH4f5iZHyai3w7g7UT0k3IhMzPNPHO8IXwAAJ7+9KfbeRj+7TZ/44ebLN4sEidFbASJeWl95DqUJk2FBVam3q2ds1d0Pd4um3tW5A3Bu3LdMBp93HtWuYC9XNedTRPiW4tiE0kUaAXlA0hvRwKQX5Urvv8o29MCRmOflCP7G0Ao4SsApowjM2CK9XwYK6yAMggvl5qP5atvPkrvVzDyK8WAActu4DdMV2K/gGSDiMVNUtqrZN7SzUNemCwMWXbBWZV1plUUBgVtqRX/Vebl/BcJVGS6tU6RPum5anfXy+VjfCpM5Y5iR8kgfB2gDyAF4YOzsclk4P6c4SBOEQMJrmKCSCscETnsp3QUYKYdHtr7FcBLOkLcH8fptbRlG3ayB4yZH/a/HwHwJgBfAODDwTXvfz/isz8M4Gli9af6NF3mg8x8PzPff99991UqRnZSVN2dqJwolcDB6rU8Nx11+7b0hKkG6FNa1tNlWS232uAcSrL19LQRX6W7/KTHScJP4RETeeWfbmuxXJWR4IiyvwyaDuV2ZmN9DbpNYruMtx2r8KW6Hh1ghWmRR3u/yL35GLxfa3VBbv0J8lRdqf0Kv8r2mN4EmS7X1+WtpACEFiz0BuQDsxjPlBVvBUx7qmoerlBWzYNm5i88aFxMW12srfa3VHvTUR+LFPNFefyXT2utWz2PAOTdj3465I1/ZNqGopuxkrbq+bph+3USgBHRE4jok8I0gOfCDc3/ZgAv8tleBOD7/PSbAbzQv030hQB+Rbj659UdDyw3D7Z1MmTApcqMCkZvbsPME7qxzKr7HJLwVAEqQIGcsVwuk/nz8ksIs+frIFYbqNSCslimAslqYLz8E+Clx+kCUQ5SMZ9uT1oWYUzCndoe0xNGgPzOoxz1Xsd+rfmWFPH8v5uiq7RfAAr4ymxXlif3TGSX5JzjcSoNyaKoPQL+0jJ7ZEFXq1vRLa93WZZdgtPumR4I64kJAxJwZYd9AqB6vWh6PExW51yz+7EyXXVuIM9b3ns5d5aspC3br1O7IJ8E4E3kboK3AHw3M7+ViH4MwPcS0VcD+HkAX+7zvwXAlwL4AIDfAPAXF9dcAStWaQyg6HLk8Ju64hCWQSxf0iZV1Jx1ZlVF9ZNJdzu28gKA7HYMq5H5mz4xJOuI5Yv7hPy4NpDnjfMxjXxa2Ug+wNxHtQtY9CAUB6H6RmcBp4D85FDqakywqLseNYyZ8V/QQFYOO5F7yDj3fpGLARuGFV9Tv2YG6ZJ1pfYr2KRou6zl4XqRtk2mUfm7oCnZpRK6G5njs9RJss7V1lhdLa+RhK/prsV5J3fevTgW3ZFjh1XX3ZJhvZBudVtKyWWj92TpwVhr8CW9XwzEk4ElwE91P054v2R6FczUsqLrUcZlr6EN27CTAIyZfw7A7zfSfwnAFxnpDODFp9QZlF97/mvvnhaiQRvhBqwMhg5IcRUcGSwvt2XEWmBWOwnmps9RBZyysimfz+OzpkfHL+tL35WsQVg+T9BxYUX+mFYHpCJ+q+W7lbbFerMyLsvzy3ivvBsywZeM2ZLersyTJ0FMriO6F4vA+zhff/ORBsYwjO6JfY1hKK7hE+Fl6krtF6cvX2SDSftrQqabIAYse0iUB1xcf2tCV4wD68grQawWZ6bjxFxa/fzviT3TbeiRhrBaPFiY1vFgBZyJedkqB10VyFL5ZPdjnlF7u8TwFNavgqn6tAi8l8H1yPOaeRhAjAUzN2++Nm7DtjsSfnFiMDCmk5kAd6MTRs3yjFW9YKIgxTB2W4TMS8fnuayTRXvBXOWob0gF5rJfDmUbECaKLufDceEMunTT2ttDxQq1V4qtccU0bKW8IT0Hr9z7VYOyME/N4SbiOrELktWyNOxEDmVAGPU+xH4ROcN9WDMGbNfVSN3gWNgzRp7uThQu7VN0fcF4EpvbHooXuYah3m9B1t7oW7Or0tJU+b31t7xgS2QF3Q/E2fceg4LHKyh4vwJoZR/6rmxO9H6J+cz7xcYv8uUt71fW5Sjgp+b9cr/J+3WOLsgt27DNAlj8nA1QwBWi0VJp8smy4QWLBdfSW+2akfccqoGXBKhC1nIBZPo3eKsyCBOZtHcrlk0JdUvvV8fGCS+A21aq7+MKeEng0stLACMTuqJXKwvMT8t0WgZjjbcho2fM8H4Nwfvl/w4reMAIuLQHgl1Khr3S3YzaCybtWuvUb9ebA5tjOspOhCVesCWfaJUa0f9B7WLoiJkeLytPrxesV7WuyB7Vuh6BBGNlGjIjWo39kn+AP7com295v6RXK+t6FGna+xXBa0T2NuQa2roN2y6AyRMpfuCZE/FbMEb5+vF8VV6wDMqCMcS0wavCl3hKKJb1SsKMn2DRrli3KLsJYzF7iuvKlqk2FnVJCBPZ5W4DEmil5R58RAVzTR+Lg1Fbt9a9WF+mYYwSaMnl0qNFiIH7CMsqLxFYcV9216NMDxCW3nw8eO/XejFgG7ZeG5azTaw8FMjtVseFkT1QzpT0cjHg7WBoXL/mjNLRk7f3W45AY2iKK7gr94DcXNiT3i820vXlG45jyJPuf8LYSZhS98se75cFYRG0fIxXgi9O9+iYh1f2gG3Xhm0XwEZOHhB/YMONuekFA3KDBzTu4vkyDRc6PVvPml4o0TPQn1/XHeCqUY4FdAWQ1QDOr2h5v4By31HMsOxD24Kd7X0s4QpA7GIM26CnY37KPV0CtgpvWDEyvigrlJe9/RhgC9HbVXY9cub9GqL3K0w779dhpRvMlp8eNy1lm7LuRwPIZDdkMw5MGgsNZuFhiOd7uGrxWWcboV1p7sCoV6FTvWgRtIyuR0YdutzKyjPGKT3Os0jXaUwJkoz7Zt49mS8jAVwS1mjk5PmS0Daua3e2bMM2C2CRwsONP54QpReMxTrRta9/MeEFC4kobd5Z1el6y2ytyG/CmExH2vYaWYayI8CRniafnbPqq92SnPYtLdybDrw4ayep7XaJwus1E7yyPAKyJHzp4SWKuC+C6FrMQa3W9Zh1Pw6p+/EwjLjrMHov2DpB+Gs8IOyaLxm7ytwRjN9R3iJPWMc6PYOwtjRnUNXpskYxvV65a6sGY2t1dRZjf8UFVrB97vUqvF8jtb1fI5XeLYRlCqzUm45lN+TKA7Fu3IZtFsACbGGk5PmyvGCoGCdJFUBphFixTyuvLPMSJKHK9I5JIFNtLtJjmfno+BGwVHk1CHNtKb1houpy94k8EPV12ygiG7qg0iifboFXkU91QUrwMn8FXGkYy4auqHY9AnRwgffS+xW6Hg/DiFvDiLuHY+dO2nUtNYqHPGG7dCCzfHg048DCTVMbgZq9i/NpHSsOzKW7xrW8ZXPgrJWvPqBqv1FdCl9LoahnveCVmor/agEbA5n3yxqGIgu+F3m6x/2qeL/kaPZxORRsGfAVuxlV3NfaMWBb13YBTMKW94QVXjCgPNEClCEYnmSLMi+Y8KrEbi5NElOq5dMwJ0FKBqdlBDhRvwFdWZeisY70glles6w8BWHWZgQIc/OhEXLb8qoM5jW3q6VqF6RY14YrAV5AmpYwJtPEOGAWfPXEfc3peiRiDIcUcD8MI24djjgQ467DcR0PGFZ8Et01S7HbcXQzLS9Y9OTHG2jdANkPmwKu9DKZzed1NbTBK1tvIkZCx3RNfWC7N3B+7jq1ttXm57wBqcfvAkpQCum94DY12Go1+D7OCAMXvF2Ag6LCGyamAbds1MuRg9kEfJldj+71z3UHYt2wDdssgCXw8nf48AQpwKwAL2nUfBny1z/vZV2RMLJniZekmqdLe8FMqKJysyWopTyqK1JDnZovPHGi3swbJptigJhOt7a9KcsBIMAqzrfAS04L+MrGASsC8NOvNdK9m06QxSThC3bX42HMAu8Ph7zr8a7DEQda0QO2P4heieJNg1DYLhkTFp/JshtrnpaBm7hWiAksh66IhVMsnHFa92LQyMAAwgh3uo9IAee9cGR9wgeYF/81Ry34MvN3GH0NX3odudwaA8zlqZc/FQeWppFPZ7Dl7pfwXYvxPqmmrcB7svLV4Mv0fqXf1bRhG7ZZAKORAUrgJY1S7J70J1wtGJ+Q2SJXLhSEBZhTkGMSmtTUSSHLMEBqat1gmGN1AoZkm2Q+K08dxhIUVSEM+bLM0+UhDMAkiIV1e7a7ptr6re5GyzMW57OuxwXwJTxc1kCsU12Ph0PqerwVIeyIWzTi7sMRb/4j/7Bjh03rmoTM3HGKD4reex9eKsrgS0DY5MNkULzRcr5MXJext0Bef8Ckx4tZFACcfPJYA6y285/m6ugdgd7NJ+9X7/ARQRq+tOdLerbmeMOKNx79sTbH/oI4R6T3y7gXOiCimJYAizLIkutrwKrC19GlD8c8/d/9y7/Rsyu7tGUbtl0AY4gnR2dNzLFOWoYrTIvZAFqWJwxiOSBu+p0nQAFYGuRqeQ1Yq5ah4cyCLAPgEiAlz5UJYaF9qnq9K0hkbIFYlrdDs8I1LPDy6RaEWek1+GpOZ92MYt0AZAcGHzh1PR6E50t1PUb48nFfdx2OuHu4mLETGmJgy69wb1rhRicgLHRJag9+tDnRfqWLnpDSSL5RrNaPafKCjU+uYTmBvYfMLclXsDxlI1P8oPAIxqH1kMTT3rap7sm5mvRqNcALqMOX1eWYpU3AV/cHt808Zb5iBWs5o931KOCL1LxOk/DW5/lK08PFijZn4zZsuwA2AkzsyD0YLwVdxavdGsYibPkykY6lMzsewjKjhewBcBYQwICwE6TLMrsiFUBV7XEGZzmEQeSDWF+XEZeJfZt7udKa8pmttjuqQflTT+pqJPwmeEVIK6fXgq/k8UIZ93VQbzwe8q7HAF8h7uvu4WLVAPwtPz1uWa4LJj0Y0Ag3anp4sUS84R08VNJ+ZQO3QkyH9GijfDdkfLJMvyHOi9mHHkxdVxnd+YcqI3Df6oYEzvuGotXVudTjBbS9Xq1ytXerBl5W92OrSzS98SjySO8Xt95+RDohBDiR6IYsuhpHygLzI4wFIMtiwCrwdfTA5b1gwRu2dgD+lm3YZgFMPkGyPwniWE/xRFJjhSkY01wFiCfQmF4ONhqlgOdSpanHAC/d5Vh0QYqyokmNwGaM76XL9ZLrymWymmz3NGAsz1MrQEGWsdzlSekZeIX8VMtD2fKl8FUG3ad5GfcVPjc0qAFXbx3cG49u3C/nAbv7cMStNd+AvGTjRUQvA/CXAHzUJ30jM7/lcltx9YrxqyM5CApcxMIGSRAjbe+CtwrZ25DEnI0ZZhq5zG74BTF73QtmdVEyci9Yz93QgqVa/Ncc9XTnWXla3Y29HjTt/crhKeXR4FUL2NefJErTAcSQyuHU+5N1P2pJGFP3RAllAb70+F7SS5YC8cVYXy34CnmPcOf0mtoB7PKVuh0NL5h8egyxYgK8wsnGQwXCimlnHeOTpVwhPmm633OCmOU9q3rU9EYgzWtIqnvN/FOuBNBwo7CKrizTMKV3kfnZXgLktx6ngMuCtcLzFZYJ8MrzkL28xwumPV8y7eDnQ9ejLxMDvNeLI3wFz1foegxDTtx9OOLuwwXuHi7wuMPtcn8tEOHKnh5fyczfeiU1XxPF7kcwSJx30QsWl6dfDm6lcM0LIAMSwEkvGQJUye+vcfrt8YJxuLhN/3kOTzoYP5xg0Qum8i/VnOB+WX+edjp4SdW+7SghrQZeegBWq8w8tougY73S+JfhyRHIYYsSRIVlxZuKKU8BXerNR6h0GfNleb6GC47dlWvpCm3YKtougB3hoCgYr9HdzOK4YBmEpekQTMiDgIX0ENiGMDgYqUEYcDkgljXOSJPdfxKwpKfLNKVcQljwVpneMBSbX5QLtVymy7ZbF1H2rUfrxkDlMp0mPVw94CXXWQpftudLBN0fOMV9HVzcF3n4isNNiK7HEPd193DEXTTirrXeu+Zwl9512YovEcH/+PONwh3Fv2AUbFu8aL09czaIgNFbpiHdmIkZPHrwArvzMV7PgdjkLwCHYgBz4QULF2dtXDD3nEsmXAVQsszhXIhasv6p4DU7hsx7v6xyJHzpLkn97UeZX8Z8yV932ER6BDOkc0VBmPZ+RVsvA/FjXFcOZykfIOO+WmN9kYCwsM66MWDbtmHbBTBm4EjRYIWnRibxdBlPOgdmQAIvMJyR8k+V7I1UE8Io1I0SwkImpDwQ6+h0e5vm7YMMiNS6Mi2DKrHuJITJ8ixvGMTmy/rEMl2tTM/Lr6hm/6agS+YR4BWXK/AqvGUhXb4N2Qlf2TcfD3DwJYPu1Uj3NIwevtKAq7di/JeDr1t++p7DBe4Z1vGAAVf29PgSInohgIcAfD0z//KVtOIKJT1c5IGL5HlHyeboX/kgGTkqeC1Gd63SkHdF0ihgbCR3HobrlR2suYs/2IKyKzKAl44Fk9DlYsA4esGsT2bFODG1XiinBlYjD8WbkHMGUe0Fr7mj2NeGnAjerwBT5hAUEcQqkJVNJ8gO8MUM8KjgK8yPFO970vtVgFgArRp8ScCK+dnwhqXuyOGYdzu6LkkHX3sMWNJmAUy+vu2MV/7LnPJI4oc/icn7yGdDmCeNAsKgMobJ1snB6vcyFMBLwVhoRgZhctsQ8pQgVkBcsuWyeFGG3a45F1IPdMX0JeAloCvMd8EXpbT8Y9uAGfdFaciJwcd93XU4xq7HW7Eb8iL+3bPWW5DA0nPviUT0kJh/kJkfDDNE9IMAfoex3t8C8CoAL/c1vxzAtwH4qkWt2LAcRwSAATJvPjkoY7+Mgew3rOnsX7JQDG/L/E05dCmyBy5iAo+cPGIBxEYCD97zxQh+MxPCohWUD0DeWIxMBXBJ2JobjB9AbATFoSokRPUMSzEVXN8Cr95ge1luBC4DvnR3o5tO5WXLY1r+G7sep+ArAJZrXLwHRs9XBmM+vwi6d43K8+ewJWFMAFrmBbPhi9b0gIV2blSLAYyIngbg9QCeBLcLHmTm72gF2RLRNwD4agBHAP8jM79tcf2jJyWi1J0YnwLzrkm3gh9tWnRBRtjyvyaEqWvQdVsaECbz1shjzvb1nlQ1WpxYHp+oZV3ByPvZmDwBYvGpXFUlPXTa+2ZtY5GvJmn8JXBVYCyHMAVfNfAyAKwLvg4JvoLXKwbdh65HGfflux1l12MYcFV2Pd4zHHGPh681AWzh0+PHmPn+2kJm/uNddRO9GsC/XtSCFXSVNiy9BZlsleyKdM+EnIhLn+ch/gsJlGLcl3+ozKY9qNEQIMxfbNEb5uPBvH2rQVjeHQmYMObbbsWCWQqApWEt+/U7QI4ZNmuk+k7w0tDVGo1elpnFeTVATsZ6yfLlR7fDvHzzMZsHVDcjCRBDDmEjkvdLesYEUEmQytJl3Jd66xH+3Ep59ZuQ+VuPAcJo94BlOsUDdgHXffAfiOiTALyLiN7ulxVBtkT0LAAvAPDZAD4NwA8S0Wcx86JXuujojRN5V6j0flEAMWTTAIOH/OTjQfwCJYQpsAieGglhwASIyTSoZf43PXV0UpuClbidM9bNIAxpYt5mCBDzGcxAfAOuuFFBa1u6vV3ZsnnglXm9gMz71QVfcRBWzrxgNHAW9xUC712Xo+t6vOtwxF2DH3RVgde9w23cu1YXpH9YuUwR0ZOZ+RE/+2UA3nupDch1ZTZsuGCMtwDLex9j7eVFqQCMD0gPk4TYxUhA8uxLv5WGMB2U76GMfSythrAEXq4RutvRtY2r44JJoPJNjM/G1vARGsJCvrmDomr1erxqHq5a/jCv33iUQGUF2usR8QvYYsI4pk8OMRBhS3rCNFgFD5gc9b7m/UpgJoAsAzwBaeaQE5zBWQzGP3L8GwKAjQw6rvga5BXYsDW1GMC8EX3ET/8aEb0fwFMaqzwfwBuY+VEA/4mIPgDgCwD8+yX1Oyr3sV8qIL+ICwOirYlPnlDwJSEseG38tFg9zQAp0xSIiXJWlaSnmfCl3VVpr3iJfWBthgVi5tuSqh4TrAwQ46lKq6Alp8UGqOUmaFVgjAkRsurdjjmc4YB8pHs13leI+zr4TwwdhuT1ukW+2/Fw4WK+fNzXPcMF7qF1Y8CuwH3/d4no2b7mDwL4mktvgdeV2jB/kyrsVkCe7FxnSE8Y+7zxQTHezzwyhQerFoTBdTsCCb5CUL4FYa6Y5AVLb0ai+VajNS6YvTuSF4wEdAUNRtpS9YJXz5uRel39xqPsjpTwZYFXKKMGXyMHY+Xzh2Xa++UaD/3JoTDuV+65ojQd7nVFYD3srsciNkx+biiAmICvCwdfdFzZ6GyXv9aJASOiZwD4XAA/AuAPwQ6yfQqAd4rVPoS2sWvXOTJwRHTb40je7c7xxItGjBAft7TRkvAlvVIZpxgwkDHYFIjJFaQqJ07WB69XqUGMrGfGejE9QJgmMc42L4GMqC6V5S9mCWJFnlSu1fYmoOkyDAhjo8uG9XQNtIY8fwZlMQC/w/Ml4evAKejev/U4DGMR93XrcMRdPt5Ldj3eohG36Jh5v+6l7QbhM/NXXm6NfbpsGxZDKI4OPBykOFgBsZhGeioERfiS10R2yXpbF4fYsSBMeD4ihDHnT5gMv473drHv5gQKL5iEMcsLNqgLWwfZ61ivACMBxDR8LXlzciq+a+rbjVPrhWUSqqbgi0UZZZdjgjEJXzxW4EsE3Ms3GjV80ehPKRHvJd9yzNJlmvR0mfFeYv6Y549xX74rEhcresBw+TZsTfV3oldERL8FwBsB/FVm/lW4INvPBPBsuKfLb1tQ5gNE9BARPfTRj37UzhOo+mi4P423MvRJok8+PZ11EbJIN9Ky7sNgPFidGGz8hW2R63coy2aBRq9MgMkhRf6xsdzKzwOBiVx3b4AXtX42Xla2biW/WM/yXPGQ6oMOlqeyrtJrJfYh5elhHK84ptdBtLMHviKEuZuHG2w1jPeVhpyQbz3qrse7hqP3gq3YBQkgvlo15++GaW0b1m2/4l+yS8MR2VhKaWwlmF6JaLeizaPcBgLxhpzKoDwwG0g3cJ+WPnkk5oHY7eWmK/CAMhaqNq8HMh1BEYIkrIwq79w/vZ4s33npUr2z1lN/YZf2wJfzcA1N+OJx6IOveBwn4Iv9uaLOA8uzZY12X4Wv8NajEfeFo4Ov4WIELkbQuC6Abdl+nQRgRHQXnOH6Lmb+lwDAzB9m5iMzjwBeDeeiB4CHATxNrP5Un1aImR9k5vuZ+f777rvPrlu6OeMBt6jc6LP2J1QchE7DlD9GJH8reXQ6BcNVAzG9HQvPBxPCWnmySstpCWFhPgMr5NM9IBY8UgHGIiAVwGZA11D50+BFebkxz5BPayizvFsWlPEhgBenNELWFdkDXzLoPnY9irivBF9u0FWr6/FeusC9tL4HbO7fTdI5bFiP/RqOLG5a/g0xBV5DBmc2lOkbp4StOA94O0XCllEEthiMJdJlbFEEp8xrgwY46O63VIb0/LhyStABEoiNkEHo88GrBU+ynqL+GdA1MuEotrkXvsI+G0cHYu7XdzuOBB7dKwduegK+mLKA+xZ8kTxHFHzlHq/GPbTyjcfswWJk0MXo50dgdPBFZ/CAXZb9IqI/S0TvI6KRiO5Xy76BiD5ARD9FRF/cU94pb0ESgO8E8H5m/naRXguyfTOA7yaib4cLYH0mgB9dWj9iF6QfdHAkWAH5MfhefpJohH8V27u7fVrshvQHigGELj3/k7ZfzcsFKfbJGy7RNVmVALZeMZX5mYTBVY218pvLA3Cx2ASzAeXyUHzMr3ZU7CKstQMANZ5S9HceM4A0pmd1QQogS2DGKU0CHVXedowB9yV8haD7wUNXGHLCdTmm0e5dt2PZ9Ri8X6t6wO5gXaUNo/Cm9sUI3BpK2+VP4NogrUzeZoXrXUS1u7XThcdAGmoHMlaT0vAUxeCs4deXwKnc0Dr9sW5Zu2t76k7MuiZVYH2IEwvzurtRdgsOJ95Ap4Lpq/Fg6mlWdjVm8wrapuCr1uUo08Hwgfcd8CWBqwpfObAnt10OYbJLUa6TxviSDwlG3FcYduI4ur8LD18XK35K7fL1XgB/BsA/lYlLX9A5JQbsDwH4SgDvIaJ3+7RvBPAVVpAtM7+PiL4XwE/AvX304qVvQALAcDFipAE4MgYCxsEIyM+MQVpXmoswF2PD4gmPNKZODcJEQdouRHOkQKyQuLCLLkuzwLKILI8FZA3o0vNZUy0Qy3de0VyrmSa86UQL0mqSoOXn5bQJXXqZzjPoXxaeLgVnaoT7CGHEecD9YYzfeAwj3Yc3HiN8+fG+ZNzX4w638bjDY3jcwXm/Hj88hscPj+Jeegz30m08nh5t759eBcN75+rKbBhdMAaMGDH4t7hC4H2I/+LsQVIP0irflIwY5KEMMCBMXL/W54piIZVBWuX4YKGyFoSFdo3sxgYLnyiKIKZBy/9q30gRL4bTR89vpc2BrixNeM70MBPd8DUm72GArWycLw1eHQH3JnwdZXe08Sd7ko55+iC6GiV8RQ/uxZjgK0CXhq/jyt+yvUQbxszvB+D5ItPzseAFnVPegvx3sO+t1Q/rMvO3APiWpXVmGsfo9cLoDFoWkC9vukD2VBkf8MRfBC9pjMIy5BAGTPCRsEfRGwagADHDGExKNSDzWsk0ncfPZ0CmN2YKuBrpGkTllrFo2+R2hdk2q5oQlnm4kE9XwUuCVfzl3AsWQaw2zIRvsPeEzYGvcryvcsgJ6fl6wvDoah4wAprexpuuK7VhwoOPCwC33E0tGA39RvfU9yKjR2wQEBYMVxi1/BDsW/nR7mKQ1nDRssMu1yPg34oUY4fVICx+n7LiBRtRebORS8A6cj7sxamyIKwGXhmcGWVI8Arz1jATNfjKhpgI+bJhJhC9X13wZdzTctCiPI0VdFnw5X/Xgq81h6G4RjZs0Qs6mx0J340DNjpviTdkzvvlDdgIBGMWjVWkolCITxJdkfHEFcYsvlEkQMIEsQBcRhrC+tmEyDb3HNLApYFI5ZHzhUMuo6VK2UadsYwGiMmq56jFphl0+V8TvCzY0vnDdOxe5ARig9+OOfB1GONYXwOxH2iVM/i6dTimwVZD0H0l7uvxw2Mx7usJw6Orx4AVLoddlyJ3E/Iocmso3+hW4GV2RQZbRsiOYzE8BXkg8lWaXrAR+fhgU0NTjMmOagijsBrcm5PaCya2PMLW0cMcUHq93EaltFNPWT3GV6jTmtZ2bAq8wrSOeeuCL1Zxd2K56yoUv/H4hbR034qgFQCLVZqGL+35El2MLfiKMV/jDPi6OAJrjgMGLDkhFn/Jg5m/b34D69osgGEc/dATvq/Q6oqUbvxoLRjmB7vFE0McGd/DVHzSlDfsBohpWAuJluPLBK9Tgd5fn7LsmqesaId8kJ2AMFlGrWsy5luyHVK6bA1bctoCMqh0PS27HDMgg+tyDGkavkTcVy983SUGW42xX+pTQ9r79XgBX1/46R88dW+m3Xg9nh7vOEUvgLddIJQPkMYgrbIrMti34OGO12l4gIy2zRFRtD8+LXjB4nAUYV1K68QuyQBhFB5IfXckHGA45vP5gm2kNK5XCnrnAsKkJJDFfeV/I5hZgCbqm9JUNySQ26upLsq5Xq/ueK/a6Pb+mMllEb5kHiB7McOCr6IbMnubEe6tXOENK+ArvkDiA+5j4H0Fvi6O+P7//Pcmj9EcLbBhq3zJQ6n7JUOpzQJY8IDhCPekJroi04XtjVmIB/NB+dpQOYNTBuSHYH2LTYASxFhMZBCmVlzNmy7orwAsElUq4MpMjV6mQaoGYaqMAuam7aCtifUyO7kGeJFrcBEDJuFLx3vFAVYr8DUk8JIB9zZ8BejKux/jkBP0WOb5evzag7Du/HUlcvaLxZhIg7NbViwrweyKDA+RxfcigTRSvs9jesH89yKdxyxAmuqKBHIIA3tgSxBGAqgYaZDW4E0LXrAU5yXGOVMwFcDL6nIciDNPmUwHbDiy1IItK0+t3OTlSnAl48RWgS/d5RjgawyVUAqcDzAm4r4s+IreUQ9YaZn0cuVAJkFsuHCerkG+8ejfdpRDTVjwhYsVv2Mbd/S6RS7Uohd0NgtguDiKJ0NnxJgGN2+584FotMg/2QVAkjET2duQMCCMRTkQN/kAXaKJYlG+sAUZS04mX3bNyyUhLKTJbZF1m8ssCNP1G2XUstRk2kwjTYJV+C1gS063wIuQvF4iTxd8yUFWDfgKo9yb8HUI8OW+8/i4w2NqsNULPGF4FE8IXZDDbTyBbuNeWvMNIgZ2D9jV6MK/j3fLB+HrB0hpu1pdkeHBMoAWDDsWvFzExUtGk12R4eIP8bbkvGXk7afrlgSytyPZtSvzflUgDKnZuZQxiPBFXAUxLTPWqydPA+TyZSlNe71Seg5fY3ybMQ+2D/AV471qXY5yjK/M64UIY7or0gq0l/A1xM8GCfgK8V0axLy3K3Q3Dscx73a8GF18tocvCkH3xxG4uACvDWCXbMOI6MsA/AMA9wH4N0T0bmb+4qUv6GwXwMYRdDw6I3Ok+G29ljsf4iPdwUjFJ0N2JxwP6cQON2LZBSm9SJY3jMR0yJjFhbVAbIXzKIMwX2aEMFVHBlsw1mkAWraeVMUqdm2aWLewizSRby54DfV8Mg6sgC/V9Ri/7TjMhC8j6P7xh8fip4Zil6MHsCfQY7iHjnj8isHIQOUY7jq7aBzBI6Lt4vjgmD9AdnVFjoz4lBlALNgZYeMChAVmi12Ro4Ao3xWZj5IPd6KID3jz4KPBYmxYqDMUHOBDGBEFYe5zvpUnNq+BQl41Ir8HMaDu7ZqCralYMCuP9RHtsF6Ary6vF/z0iDLYfgSqQ0wICAverMwLBtTfbixivQRcKfhKMV+cvF8XKOHrdh7vhSODjscEXxdHYBwdeB3P4AHD5dowZn4TgDdVls1+QWezAEZHF4AfXgflAaBwbIfBpatvRTJRfNKjYLTC41c0WD7Q1Hu9siB8kS2sIgFnEsIKaltzh1TKI9HGSt0FVFHKors1a+s1m6ZBzlBW1hRsiXSdNtfjFe4vKU0E2xOAA+fB9mqMr+D9Sp8X6oOvew8OutxQEyLo/vCoC7wXnx1yMHbEE4YR904N0TFXuwfsanRxzC5F5/Uq48FsD1jeFQmI81l1O0oIiw+WPjmODTaoeDBvxMh3H7o6KIHewLEHwX1f0kFYhCOm2BU5jgOGYUwN9RAWuh6Dl6wm+dlAIgdkAcYCiAGoDk2hg+Z1urUs5UE1jwVeIb13iAn4ZV2fFfKesHycrgBpArw4rVMOK4EIWsXbjhq+jDcdEWLALhjDbRHndds5Q9xnhlSw/cUF+OIIjEfg9gV4zSEo0sFYv8xL0mYBDMejvxo9hJEPhhgZuOB6V6Q0XqMYoHX0J/GABGHeCxIHPJRPneIGn/HJXAibK2s9SYQatjhPB+ogBpR5TAjT9dbaZVdhqwVXNQjTeafAyx/PJnjFPFy+6SjG+EIEL/Yf1k7wdSuMcD/l+RJvPErgkuN93eu7HR9PR9xLhMfTXT17s0/hKXrXpYsuju5y8raLR7gHSP9QGB4g2yCWHv7iwNNAslE6BgwOqoKBimMdjkB8u3FA8n75dvAgDIy0NYN7GzJ2ZY7sui/94tAVOY4uNITIlUcenGI3YseTXIC16P0ClV2SBoTptxVlmku389fmrTckF8V6xW7FSryX8HRlcVx+eRb3FX798iLgXnu9Ci8XFHD1vek43PbxXsdj2eXof/niwkHYcQRu33a/a2rjNmzDADaC6Ohvog7EMHB6Mrpw1qX1ZhGQbBYg+CJA2ECFBwwouKZM64UwiJVPkdEQswsRaZlZtfJuSQjL8hYJRntq7ZvIr6Gr1RWZ5aV8Po7nJWEsABaQgVe2LMZ4yWlOwfZ+ejj4G4EPtJfwdeswxu87mvDlh5u4W3Y9Vsb7egLdxhPoAvcS8Hg64Ld82s83duQCbfjpcdMaR3ejFZ4wEAHHsYxlPQYPWdkVKQdkLYamAOK5LD1fMRzDgxMBOYQRvPfLlUm+TA4PISEo3/+mNykByC5HHz+bP7m56RgfBjTBKSyLwfnBc2aAWPCqxV1sQJfuQtTTer2Yx2hb+p0AL/hp0d0IkceK94peL/1tTwlinKdnMWEWgEUvlwYviK7GMK26HHWw/e0AXQ7AcPui6fUKXZA/8Nj3FPv2ZG3Yhm0XwHxfMhGB6RjByV3QcI92IaC18maRWz+nlDhHfi7MyJs4TocwhHQABZz0go1eZkAYgKYHqwVjcX3VzCleNB9oeyCzAV2FN0znlRCmwSsAVShLDbZagFe40YguxyzYXg2wOgzsv+uYD7Iav++o4Otxh9u4249wH954fPzg3nZ8/PAofuvwCfdLj+KThtt45tPCV3HOoO3arm3Lg1fc/UQg78WneAdVD5DHMI6WGC0flD1EOqMj7BnZl178/BD7B8wAaezhiuGvAdElKaYzCANSYD4Q35gEXJmh90B6wPwm+9+6cZBwFICNkYNYKCt0T2q14rbEXjPrtOfL8maDlxpWQn4IPXmwSIBUAq84fITwksm01EWZw1cW01V0N0rYQnuIidDleFvFelXA6wd+859Xj+8q2rAN2yyA8cWFBynyEEagwfcXGkNTWF2RxQCtoWxAxEcgBecDyZ1PSHFimAlhPmMBYlkDFuwUqyG+fLPbsQJjVhC/zF5si9WOGaoBWxO6zDQDvMSvBC3T4xXiXQjuJhJ+RaA9DeUYXwO57sbDwNkI9wcaJ+ErxHxp+HrOM35m3k5cqH0csCtSeIAE/MOhf6HogrofIIMdi0M6xOvCe5koOb/iJcbpx/peZPz0EKH0hgXICl2SLQjzQfsBlsK1GUAMSODVM8q9HOMrQFwsG8hgzJKO2ZJp5bS9bi1fFbwY+aeEauAF5IH2Xd9ypGw+dEPmMWICvrKBVDV8Ncb2OqqBVYPnK3i8JHh5Lxcfj3jbr7124oiupy3bsM0CmHPVHx10hXgwOTTFkL9ZVO2KjK6wZEiACoQR5dA1LoQwlVnajcwrtjKEhc3U4BXzqqQsWXnLdLtjtiVtVpVpwLJALKVxvo4GLiB1NxaDrQYYE+AlvV6EosuRjDG+hmHEXaH7UY3zdcv/SvhKbz06+Pqk4TfxhOEx/Nnf9a4Tdt5Cbdh4bVl8cZFOZ/KgEuikNrYhoYxldaUZXqR8wNN4mAe48oMrKXpmktcrDrgK2U3o5kOX5CSE+TAOhLfOkYMYIEEs/zX3l+iS5FCsjicTMBakv99Y6z7U9YRlVhuyZdIL5ucLj5ccNFWDl/BiRa9XAKgjFV6vIaRl3ZL5X1ofXUH21UFV5bhe2uN1+yINK3F0bzm+7VdeUz+A59SGbdhmAYwvLlzA5wX5C/FYf5I8uuBQ/VZk9sHucENuQRhE0CmWQRhEnmIF16z1IUxUmoGYXF6RhMa4Ts1zN9WmVh0yzySIcX25BC9CCqiP0xCB9RK+QhpnsV7S6xWC7vWbjgcBXrdCt+Mgx/lKMV/B8/VJB+fp+trf80MzduLK8kZ/1xXo4iKDLhfsPiYIo/wzazEeDN4mgTCA4UcTS9PZdeYgLLs/ecgKkym7H2QVaXkKLgvB+QB7O9qEMBJ2L1xbAsTAvjdBXsdAE8Dc8vDWJGIMWQCxsDxsV7YXVFfhVJqblgVUAE0sbwbXa8+XX1mCF1jFeh0p93od87cazW7G6DXz4DXl8brdMabXxQi6fVEMpsq3bwPHI9768X/WPmjn1sZt2GYBDMcjcDsYK2/EhrHaFTkcR4w0lF2R8PPhIPrXqe3XtSsQFjxcSL8mcAiQybxhyKczCGtI58k8UhLCjHmr/CkoM2FsRvuytlTSzJgu37iqJ0zO63VbXi8BZxDzMtZLer3CX4j3Cm86hu863j24D2vforGAr8fFLsfH8D99zv93euddggi8aff9lsW3LzykDLkXfyDgwtmzgUaMYdh6QvTiDxeM8RZQhbDsQUkYkwADWUNkmocwRowLC12S2RMkBVhTEEbJOLDv/6TswYgFRYpnRP1UWDEuCb5iMzL4qsWUTUGX9GaZgIW0XJYHWW6ALunl0uDl0yh6wRDBKwEV1b1ecjgJC77ENxzTAKs5eLlR7BHBa7itoEvCVwysPwKP3Y7djG/9pQdxXbR1G7ZZAOPbFw66LsgZMboQBqzSFTkYXZEQhiOV7srxF8kUhIULMYMvDWUKtKYgTDbFAhYLbmKsV5AFYbLcjjLDehmcaS+dkb8qsayoT8BUiOlK02qZyM9q/RgPVguy114v4e0K3Y6W12vwaTLeK8DXLRo9hLkPa9+iMRvn65Wf+y8aO+UKtWHjtWVxfIlocPGl8QHy6ADi6G3NEQhuKWeCRj9dhzDm8JmfUJk3IhK22J3+Y/hkkRdxgqpg93h0EBbjwsJQFRBvSIbAe9HtCA9yIGRdmBaMRWiDADKl0P3oM0Ugc8tyGMv2tQInC7qCZ07miztBlZOlq7L0yPUZeKmuSAle0QMmvV7S8+W9XmmU+vQbx+dS6VWP120/nMTt/m7Gt37kn5jH5FpowzZsuwB2PLonxcHBFw/k6L3VFXnhux1lVySCITAgDITwTbRszJwAYcGV7tMQSmDxdKdKjtAVllUgrNcLVuyXKQiT6TPLle0DDG7tWd+quwArLiFLzYemWJ6yrLuRYMd6GUNL0BC6NEqv1zCk8b0OQxpmQr7peIvSG4/3DEd85//xtX07Z9cdJ77tXiIKoRTRi591RfpgLPmpImG/ap4wcOp6HBFWzQ2KL86Zt0G0a0DyePn/RMn+xe9Hkocy/6SZBm2lHLAC+4mHqMwrBpEXaZWYLvdZsLeAAxYBZEyJ54B8TDANYFXoYgFZEqpiObIxOh8SbFXiu8AU31I0wUt4vWikHKgY5SCqtbG85LIKeA0XydMVoAvHo+tuvDiCH7uNt374H2PXebVZAHv7xRuay5/3e16auiLHZMRo5HyA1swDVoEwIAWnBiALi0OOkOaLkdwTpzVYhXxW1Q1NgZkJYaK9meZCniiL9a7qKVc+RGZQVkJXzFOBrrScCyMv06tDS5CCr0as1yDhK3i9PHzdGsb4puMb/uD1cc93acNPj1vWpP367G/0YRIywGXAANct6QLrqfCExW8O+gs0BOC7XwdpGXwZh9+ZIvWkqIPzB848Y2AfZ0vhWgvwVUJZuE5JX+NAMlzRMPpZxTuZxywUIqHLMEARxHx+K24LYZ9owCqmGwDGgPx0UObtMrxhsruROMFX7glDNnxE91uNF6KrUYLXbeHt8tCF27fx/f/lHxb77dprwzbs0gGMiJ4H4DsAHAD8M2Z+xTnqeetPnqXYTM/+2m93QalAgikBXzUIy2RB2BwvmPkKpQFhVt2Gur1upKrvgMK0Lpfp4rca15Ut5zK/Bi9C/Q1HNa6X9nqF4SUOyusluxwPw4i7hyPe/Ec2aLSA9GS+q1uXZr/e9/84R7GZft9fe2W0PfFXxr56YxSWy+D88IYkGGm8MIa7rrwbaxLEgHhtZjAW0oEUWK/tTIAvSjaWTaMnZHm7PCAVsVuyMTJNlZXmUYLV1DcbxTJraAnz80ECsIpBVOVv9HqFOK/RDZ4awCvEd92+wPf/579X32fXXRu3YZcKYER0APCPAPwJAB8C8GNE9GZm/onLbMdaevc//rqrboKpz3r5KwFUIMxQGYvF7eXZwnlts4CrSDe8XUUXo8qvweuDX/vX5zXsDtWWA1gvWzfNfr3nlX/tqptg6hmvf0WEttglGMEr5ctiwlKiXah8Tm2Bl56ulBGdgxrSRhJervBLmfcrTguPV979CLz/W67nsbmO2rINu2wP2BcA+AAz/xwAENEbADwfwCYN2HXVT//f94t3V6c2bLyuQLv9ugR98IUvveom7NqSNmzDLhvAngLgF8T8hwD8AZ2JiB4A8ICffZSI3nsJbTunngjgY1fdiBV0E7bjJmwDUG7Hp88vgjdtvK5Ad6r9Am7GdXMTtgG4GdthbcMdZ8OuZRA+Mz8I4EEAIKKHmPn+K27SSboJ2wDcjO24CdsArLQdjE0br+uqm2a/gJuxHTdhG4CbsR2rbcPGbdhlA9jDAJ4m5p/q03bt2nUV2nAA6xVot1+7dl03bdiGXTaA/RiAZxLRZ8AZrhcA+HOX3IZdu3Z5bTmA9Qq0269du66ZtmzDLhXAmPmCiF4C4G1wr3G/hpnfN7HaxgZWMnUTtgG4GdtxE7YBWGs7Nmy8Llt3sP0CbsZ23IRtAG7Gdqy3DRu2YcQbbvyuXbuW67fd+2T+rz/9RbPXe+tP/z/ftTR+g4j+LICXAfi9AL6AmR8Sy74BwFfDfcX1f2Tmty2pY9euXXeGltiwU+zX2rqWQfi7du26DF3JG0TvBfBnAPxTmUhEz4Lr0vtsAJ8G4AeJ6LOY+XjZDdy1a9dWtL8FuWvXrq3qko0XM78fQPxwstDzAbyBmR8F8J+I6ANw4279+0tt4K5du7alDQPYMJ3lakREzyOinyKiDxDRtR+Zj4g+SETvIaJ3E9FDPu1TiejtRPQz/vdTfDoR0d/32/bjRPR5V9Tm1xDRR+Q4RUvaTEQv8vl/hojm92mdZzteRkQP++PxbiL6UrHsG/x2/BQRfbFIv7JzjoieRkT/KxH9BBG9j4j+ik8/7/Fgnv93HlljbD3lXJWdW7v9urR2b96G7fbrxGNxPezXIl1LAKP0yY8vAfAsAF9BroviuuuPMfOzRf/ySwG8g5mfCeAdfh5w2/VM//cAgFddekudXgvgeSptVpuJ6FMBfBPcgJRfAOCbwkV2iXotyu0AgFf64/FsZn4LUHR1PQ/APyaiwzU45y4AfD0zPwvAFwJ4sa//fMeD4T5SP/cPeCIRPST+HpDFEtEPEtF7jb/nr7nDrquuwbm0VFuzX8DNsGGvxW6/lh2LJTbsGulaAhjEJz+Y+TEA4ZMfW9PzAbzOT78OwJ8W6a9np3cC+GQievJlN46ZfxjAx1Xy3DZ/MYC3M/PHmfmXAbwdtjE5myrbUVPs6mLm/wQgdHVd6TnHzI8w83/w078G4P1wHqAzHg8GeJz/B3yMme8Xf9kbTcz8x5n5c4y/72vsgps0xtZuvy5JN8GG7fbrlGOxwIZdI11XANtidwQD+AEiepfwCDyJmR/x078I4El++jpv39w2X+dteYl3b79GPEVd++0gomcA+FwAP4JzH4/r0wX5ZgAvIKJ7yI2z9UwAP3quys6sa3MuzdBNsV/AzbFhu/3q2Y7rYb8W6boC2Bb1h5n58+Bcqy8moj8qF7Ib7+N6Hf0JbbHNQq8C8JkAng3gEQDfdqWt6RQR/RYAbwTwV5n5V+WyjR8PAAARfRkRfQjAHwTwb4jobQDgx9P6XrgPW78VwIv3NyAvVTfOfgHbbTd2+3VH6LoC2Oa6I5j5Yf/7EQBvgnMJfzi45v3vR3z267x9c9t8LbeFmT/MzEdmHgG8Gu54ANd4O4joLjjj9V3M/C998vmOx/IYsMVi5jcx81OZ+R5mfhIzf7FY9i3M/JnM/LuZ+ftPquhqdeXn0lzdIPsF3AAbttuvIt3WHgN2FsVPfhDR3XBBh2++4jZVRURPIKJPCtMAngs33tGbAbzIZ3sRgBAD82YAL/RvgnwhgF8Rbtqr1tw2vw3Ac4noU7yb/Lk+7UqlYlK+DO54APWuris954iIAHwngPcz87eLRec9HtenC/ImabdfV6vN27Ddfs04Fhu2X9dyHDBe9smPq9STALzJnYO4BeC7mfmtRPRjAL6XiL4awM8D+HKf/y0AvhQugPI3APzFy28yQETfA+A5cG+1fQju7ZNXYEabmfnjRPRyOAMAAN/MzL0Bpauosh3PIaJnwz0jfRDA1/j2vo+IQlfXBURX1xWfc38IwFcCeA8RvdunfSPOfTyumUG6Cdrt1+XpJtiw3X6deCw2bMP2TxHt2nWH6rfd/dv5v77vv5u93lv/yz+8Np/y2LVr152rJTbsOtmva+kB27Vr1yWIAYzX67XsXbt27erWxm3YDmC7dt3J2j3gu3bt2rI2bMOuaxD+rl27LkN7EP6uXbu2rEu0X0T0Z8l9amkkovtF+jOI6DcpfTrqn/SUt3vAdu26Y3X9XsvetWvXrn5dug17L4A/A+CfGst+lpmfPaewHcB27bpTxQBfs09z7Nq1a1e3LtmGMfP7AcC/MXyy9i7IXbvuZF3yQKy7du3ataquj/36DCL6j0T0b4noj/SssHvAdu26k7XHdO3atWvLmm/DnkhED4n5B5n5wTBDRD8I4HcY6/0tZv4+Ix1wn4t6OjP/EhF9PoB/RUSfrT/HpLUD2K5dd6qYN/0K965du+5wLbNhH2uNA8bMf3x+M/hRAI/66XcR0c8C+CwAD7XW2wFs1647WbsHbNeuXVvWNbBhRHQfgI8z85GIfifcJ6J+bmq9HcB27bqDxbsHbNeuXRvWZdowIvoyAP8AwH0A/g0RvZuZvxjAHwXwzUR0G8AI4C/3fM5qB7Bdu+5Y7eN67dq1a8u6XBvGzG8C8CYj/Y0A3ji3vB3Adu26U8XY32rctWvXdrVxG7YD2K5dd7L2ccB27dq1ZW3Yhu3jgO3atWvXrl27dl2ydg/Yrl13qBgAb9h9v2vXrjtbW7dhO4Dt2nWninnT7vtdu3bd4dq4DdsBbNeuO1hbfnrctWvXri3bsB3Adu26k7Xhp8ddu3bt2rINI97HAdq1644UEb0VwBMXrPoxZn7e2u3ZtWvXrjlaaMOujf3aAWzXrl27du3ateuStQ9DsWvXrl27du3adcnaAWzXrl27du3ateuStQPYrl27du3atWvXJWsHsF27du3atWvXrkvWDmC7du3atWvXrl2XrP8/UWZEqjjSAV4AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.interpolate import griddata\n", "grid_x, grid_y = numpy.mgrid[0:img.shape[0]+1, 0:img.shape[1]+1]\n", "delta = peaks_c - peaks_m\n", "#we use peaks_res instead of peaks_m to be in y,x coordinates, not x,y\n", "delta_x = griddata(peaks_ref, delta[:,0], (grid_x, grid_y), method='cubic')\n", "delta_y = griddata(peaks_ref, delta[:,1], (grid_x, grid_y), method='cubic')\n", "\n", "fig, ax = subplots(1, 2, figsize=(10,5))\n", "im0 = ax[0].imshow(delta_x,origin=\"lower\", interpolation=\"nearest\")\n", "ax[0].set_title(r\"$\\delta$ x\")\n", "fig.colorbar(im0, ax=ax[0])\n", "\n", "im1=ax[1].imshow(delta_y, origin=\"lower\", interpolation=\"nearest\")\n", "ax[1].set_title(r\"$\\delta$ y\")\n", "fig.colorbar(im1, ax=ax[1])\n", "pass\n", "#Nota: the arrays are filled with \"NaN\" outside the convex Hull" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "#From http://stackoverflow.com/questions/3662361/fill-in-missing-values-with-nearest-neighbour-in-python-numpy-masked-arrays\n", "def fill(data, invalid=None):\n", " \"\"\"\n", " Replace the value of invalid 'data' cells (indicated by 'invalid') \n", " by the value of the nearest valid data cell\n", "\n", " Input:\n", " data: numpy array of any dimension\n", " invalid: a binary array of same shape as 'data'. True cells set where data\n", " value should be replaced.\n", " If None (default), use: invalid = np.isnan(data)\n", "\n", " Output: \n", " Return a filled array. \n", " \"\"\"\n", "\n", " if invalid is None: \n", " invalid = numpy.isnan(data)\n", "\n", " ind = ndimage.distance_transform_edt(invalid, return_distances=False, return_indices=True)\n", " return data[tuple(ind)]" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(1,2, figsize=(10,5))\n", "im0 = ax[0].imshow(fill(delta_x),origin=\"lower\", interpolation=\"nearest\")\n", "ax[0].set_title(r\"$\\delta$ x\")\n", "fig.colorbar(im0, ax=ax[0])\n", "\n", "im1 = ax[1].imshow(fill(delta_y), origin=\"lower\", interpolation=\"nearest\")\n", "ax[1].set_title(r\"$\\delta$ y\")\n", "fig.colorbar(im1, ax=ax[1])\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is important to understand the extrapolation outside the convex hull has no justification, it is there just to prevent numerical bugs.\n", "\n", "## Saving the distortion correction arrays to a detector" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "from pyFAI.detectors import Detector\n", "detector = Detector(Py,Px)\n", "detector.max_shape = detector.shape = img.shape\n", "detector.set_dx(fill(delta_x))\n", "detector.set_dy(fill(delta_y))\n", "detector.mask = numpy.isnan(delta_x).astype(numpy.int8)[:img.shape[0], :img.shape[1]]\n", "detector.save(\"testdetector.h5\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Validation of the distortion correction" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pyFAI.distortion import Distortion\n", "dis = Distortion(detector)\n", "cor = dis.correct(img)\n", "\n", "fig, ax = subplots(1, 2, figsize=(10,5))\n", "ax[0].imshow(img, interpolation=\"nearest\", origin=\"lower\")\n", "ax[0].set_title(\"Original\")\n", "\n", "ax[1].imshow(cor, origin=\"lower\", interpolation=\"nearest\")\n", "ax[1].set_title(\"Corrected\")\n", "\n", "# Save the corrected image\n", "fabio.edfimage.EdfImage(data=cor).save(\"corrected.edf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "This procedure describes how to measure the detector distortion and how to create a detector description file directly usable in pyFAI. Only the region inside the convex hull of the grid data-points is valid and the region of the detector which is not calibrated has been masked out to prevent accidental use of it.\n", "\n", "The distortion corrected image can now be used to check how \"good\" the calibration actually is. This file can be injected in the third cell, and follow the same procedure (left as exercise). This gives a maximum mis-placement of 0.003, the average error is then of 0.0006 and correction-map exhibit a displacement of pixels in the range +/- 0.2 pixels which is acceptable and validates the whole procedure." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution time: 13.908 s\n" ] } ], "source": [ "print(f\"Execution time: {time.perf_counter()-start_time:.3f} s\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 4 }